label,pixel1,pixel2,pixel3,pixel4,pixel5,pixel6,pixel7,pixel8,pixel9,pixel10,pixel11,pixel12,pixel13,pixel14,pixel15,pixel16,pixel17,pixel18,pixel19,pixel20,pixel21,pixel22,pixel23,pixel24,pixel25,pixel26,pixel27,pixel28,pixel29,pixel30,pixel31,pixel32,pixel33,pixel34,pixel35,pixel36,pixel37,pixel38,pixel39,pixel40,pixel41,pixel42,pixel43,pixel44,pixel45,pixel46,pixel47,pixel48,pixel49,pixel50,pixel51,pixel52,pixel53,pixel54,pixel55,pixel56,pixel57,pixel58,pixel59,pixel60,pixel61,pixel62,pixel63,pixel64,pixel65,pixel66,pixel67,pixel68,pixel69,pixel70,pixel71,pixel72,pixel73,pixel74,pixel75,pixel76,pixel77,pixel78,pixel79,pixel80,pixel81,pixel82,pixel83,pixel84,pixel85,pixel86,pixel87,pixel88,pixel89,pixel90,pixel91,pixel92,pixel93,pixel94,pixel95,pixel96,pixel97,pixel98,pixel99,pixel100,pixel101,pixel102,pixel103,pixel104,pixel105,pixel106,pixel107,pixel108,pixel109,pixel110,pixel111,pixel112,pixel113,pixel114,pixel115,pixel116,pixel117,pixel118,pixel119,pixel120,pixel121,pixel122,pixel123,pixel124,pixel125,pixel126,pixel127,pixel128,pixel129,pixel130,pixel131,pixel132,pixel133,pixel134,pixel135,pixel136,pixel137,pixel138,pixel139,pixel140,pixel141,pixel142,pixel143,pixel144,pixel145,pixel146,pixel147,pixel148,pixel149,pixel150,pixel151,pixel152,pixel153,pixel154,pixel155,pixel156,pixel157,pixel158,pixel159,pixel160,pixel161,pixel162,pixel163,pixel164,pixel165,pixel166,pixel167,pixel168,pixel169,pixel170,pixel171,pixel172,pixel173,pixel174,pixel175,pixel176,pixel177,pixel178,pixel179,pixel180,pixel181,pixel182,pixel183,pixel184,pixel185,pixel186,pixel187,pixel188,pixel189,pixel190,pixel191,pixel192,pixel193,pixel194,pixel195,pixel196,pixel197,pixel198,pixel199,pixel200,pixel201,pixel202,pixel203,pixel204,pixel205,pixel206,pixel207,pixel208,pixel209,pixel210,pixel211,pixel212,pixel213,pixel214,pixel215,pixel216,pixel217,pixel218,pixel219,pixel220,pixel221,pixel222,pixel223,pixel224,pixel225,pixel226,pixel227,pixel228,pixel229,pixel230,pixel231,pixel232,pixel233,pixel234,pixel235,pixel236,pixel237,pixel238,pixel239,pixel240,pixel241,pixel242,pixel243,pixel244,pixel245,pixel246,pixel247,pixel248,pixel249,pixel250,pixel251,pixel252,pixel253,pixel254,pixel255,pixel256,pixel257,pixel258,pixel259,pixel260,pixel261,pixel262,pixel263,pixel264,pixel265,pixel266,pixel267,pixel268,pixel269,pixel270,pixel271,pixel272,pixel273,pixel274,pixel275,pixel276,pixel277,pixel278,pixel279,pixel280,pixel281,pixel282,pixel283,pixel284,pixel285,pixel286,pixel287,pixel288,pixel289,pixel290,pixel291,pixel292,pixel293,pixel294,pixel295,pixel296,pixel297,pixel298,pixel299,pixel300,pixel301,pixel302,pixel303,pixel304,pixel305,pixel306,pixel307,pixel308,pixel309,pixel310,pixel311,pixel312,pixel313,pixel314,pixel315,pixel316,pixel317,pixel318,pixel319,pixel320,pixel321,pixel322,pixel323,pixel324,pixel325,pixel326,pixel327,pixel328,pixel329,pixel330,pixel331,pixel332,pixel333,pixel334,pixel335,pixel336,pixel337,pixel338,pixel339,pixel340,pixel341,pixel342,pixel343,pixel344,pixel345,pixel346,pixel347,pixel348,pixel349,pixel350,pixel351,pixel352,pixel353,pixel354,pixel355,pixel356,pixel357,pixel358,pixel359,pixel360,pixel361,pixel362,pixel363,pixel364,pixel365,pixel366,pixel367,pixel368,pixel369,pixel370,pixel371,pixel372,pixel373,pixel374,pixel375,pixel376,pixel377,pixel378,pixel379,pixel380,pixel381,pixel382,pixel383,pixel384,pixel385,pixel386,pixel387,pixel388,pixel389,pixel390,pixel391,pixel392,pixel393,pixel394,pixel395,pixel396,pixel397,pixel398,pixel399,pixel400,pixel401,pixel402,pixel403,pixel404,pixel405,pixel406,pixel407,pixel408,pixel409,pixel410,pixel411,pixel412,pixel413,pixel414,pixel415,pixel416,pixel417,pixel418,pixel419,pixel420,pixel421,pixel422,pixel423,pixel424,pixel425,pixel426,pixel427,pixel428,pixel429,pixel430,pixel431,pixel432,pixel433,pixel434,pixel435,pixel436,pixel437,pixel438,pixel439,pixel440,pixel441,pixel442,pixel443,pixel444,pixel445,pixel446,pixel447,pixel448,pixel449,pixel450,pixel451,pixel452,pixel453,pixel454,pixel455,pixel456,pixel457,pixel458,pixel459,pixel460,pixel461,pixel462,pixel463,pixel464,pixel465,pixel466,pixel467,pixel468,pixel469,pixel470,pixel471,pixel472,pixel473,pixel474,pixel475,pixel476,pixel477,pixel478,pixel479,pixel480,pixel481,pixel482,pixel483,pixel484,pixel485,pixel486,pixel487,pixel488,pixel489,pixel490,pixel491,pixel492,pixel493,pixel494,pixel495,pixel496,pixel497,pixel498,pixel499,pixel500,pixel501,pixel502,pixel503,pixel504,pixel505,pixel506,pixel507,pixel508,pixel509,pixel510,pixel511,pixel512,pixel513,pixel514,pixel515,pixel516,pixel517,pixel518,pixel519,pixel520,pixel521,pixel522,pixel523,pixel524,pixel525,pixel526,pixel527,pixel528,pixel529,pixel530,pixel531,pixel532,pixel533,pixel534,pixel535,pixel536,pixel537,pixel538,pixel539,pixel540,pixel541,pixel542,pixel543,pixel544,pixel545,pixel546,pixel547,pixel548,pixel549,pixel550,pixel551,pixel552,pixel553,pixel554,pixel555,pixel556,pixel557,pixel558,pixel559,pixel560,pixel561,pixel562,pixel563,pixel564,pixel565,pixel566,pixel567,pixel568,pixel569,pixel570,pixel571,pixel572,pixel573,pixel574,pixel575,pixel576,pixel577,pixel578,pixel579,pixel580,pixel581,pixel582,pixel583,pixel584,pixel585,pixel586,pixel587,pixel588,pixel589,pixel590,pixel591,pixel592,pixel593,pixel594,pixel595,pixel596,pixel597,pixel598,pixel599,pixel600,pixel601,pixel602,pixel603,pixel604,pixel605,pixel606,pixel607,pixel608,pixel609,pixel610,pixel611,pixel612,pixel613,pixel614,pixel615,pixel616,pixel617,pixel618,pixel619,pixel620,pixel621,pixel622,pixel623,pixel624,pixel625,pixel626,pixel627,pixel628,pixel629,pixel630,pixel631,pixel632,pixel633,pixel634,pixel635,pixel636,pixel637,pixel638,pixel639,pixel640,pixel641,pixel642,pixel643,pixel644,pixel645,pixel646,pixel647,pixel648,pixel649,pixel650,pixel651,pixel652,pixel653,pixel654,pixel655,pixel656,pixel657,pixel658,pixel659,pixel660,pixel661,pixel662,pixel663,pixel664,pixel665,pixel666,pixel667,pixel668,pixel669,pixel670,pixel671,pixel672,pixel673,pixel674,pixel675,pixel676,pixel677,pixel678,pixel679,pixel680,pixel681,pixel682,pixel683,pixel684,pixel685,pixel686,pixel687,pixel688,pixel689,pixel690,pixel691,pixel692,pixel693,pixel694,pixel695,pixel696,pixel697,pixel698,pixel699,pixel700,pixel701,pixel702,pixel703,pixel704,pixel705,pixel706,pixel707,pixel708,pixel709,pixel710,pixel711,pixel712,pixel713,pixel714,pixel715,pixel716,pixel717,pixel718,pixel719,pixel720,pixel721,pixel722,pixel723,pixel724,pixel725,pixel726,pixel727,pixel728,pixel729,pixel730,pixel731,pixel732,pixel733,pixel734,pixel735,pixel736,pixel737,pixel738,pixel739,pixel740,pixel741,pixel742,pixel743,pixel744,pixel745,pixel746,pixel747,pixel748,pixel749,pixel750,pixel751,pixel752,pixel753,pixel754,pixel755,pixel756,pixel757,pixel758,pixel759,pixel760,pixel761,pixel762,pixel763,pixel764,pixel765,pixel766,pixel767,pixel768,pixel769,pixel770,pixel771,pixel772,pixel773,pixel774,pixel775,pixel776,pixel777,pixel778,pixel779,pixel780,pixel781,pixel782,pixel783,pixel784
6,149,149,150,150,150,151,151,150,151,152,152,152,152,152,153,153,151,152,152,153,152,152,151,151,150,150,150,149,150,150,150,152,152,151,152,152,152,152,152,153,154,153,154,154,153,154,153,154,153,153,152,152,152,151,150,151,150,151,151,152,152,152,153,153,152,152,152,153,154,154,155,155,154,154,155,155,155,155,154,153,153,151,151,152,150,151,151,152,152,152,154,154,154,154,154,153,154,155,156,157,157,156,155,156,155,154,154,155,152,154,153,153,151,152,152,152,154,154,154,154,154,155,157,156,156,156,154,150,146,147,146,147,143,137,126,126,142,139,152,154,152,153,153,154,154,155,154,155,155,154,153,150,144,143,145,139,142,144,157,157,147,139,128,119,130,113,147,156,151,153,153,155,155,156,155,152,145,139,141,141,141,153,153,143,135,137,139,133,121,107,101,104,110,127,157,156,151,152,153,155,155,154,151,146,139,131,130,134,137,132,125,111,101,94,95,105,113,122,133,145,153,157,156,156,152,152,154,152,151,150,149,149,139,122,104,98,92,82,81,81,85,114,145,157,160,162,161,159,157,156,156,156,151,151,150,146,145,147,148,147,145,132,97,71,62,66,88,116,145,162,160,159,157,155,156,157,157,156,155,155,151,145,144,145,147,145,147,150,150,124,92,68,63,67,86,159,163,155,158,157,156,156,157,156,156,156,155,154,143,144,145,145,143,147,152,152,128,90,79,68,64,70,67,84,147,164,157,158,157,157,157,156,157,156,156,155,145,146,143,145,145,150,149,149,139,118,85,62,62,75,73,62,67,140,164,157,158,158,158,158,157,157,156,156,150,147,144,147,149,148,149,158,158,136,94,63,58,69,85,82,67,70,156,160,159,160,159,158,157,156,156,156,147,148,147,145,148,152,151,160,153,119,86,66,64,63,69,75,78,57,130,165,158,159,158,159,158,157,157,157,149,148,146,145,147,149,146,151,144,110,78,65,66,66,58,59,64,79,150,165,162,162,162,162,161,161,158,156,151,146,143,141,138,140,142,146,144,121,84,56,62,70,71,68,57,117,144,144,147,149,152,150,146,146,154,160,147,144,143,142,140,142,146,151,154,131,85,59,51,60,85,69,64,76,75,79,81,79,76,83,112,141,163,163,144,148,147,145,145,148,150,155,151,119,74,62,63,55,62,72,73,77,74,73,68,88,113,138,162,162,168,168,146,146,142,141,141,138,134,142,124,96,75,67,65,63,62,78,87,76,84,96,126,162,172,155,144,149,151,161,142,136,132,134,127,119,118,119,103,87,77,73,70,62,64,72,93,134,155,160,166,156,150,151,143,136,145,149,130,132,127,120,114,110,109,105,91,77,74,75,74,65,73,113,166,177,170,161,152,141,134,136,140,133,127,130,113,116,115,106,101,95,86,84,85,77,78,74,76,103,152,179,170,157,155,151,140,129,126,126,133,130,122,125,81,86,85,83,76,72,73,76,77,79,71,101,151,178,177,170,161,152,147,151,133,115,121,121,124,126,122,122,61,61,67,69,70,75,78,78,81,68,113,165,174,169,162,157,149,148,148,148,126,100,113,117,113,122,118,115,69,69,77,78,75,76,78,79,67,120,173,157,159,148,155,150,138,143,148,149,123,91,101,111,111,116,113,118,74,75,76,75,75,76,75,68,124,172,152,146,146,146,152,142,131,134,144,147,125,87,87,103,107,110,116,113,75,74,74,74,76,74,82,134,168,155,146,137,145,146,149,135,124,125,138,148,127,89,82,96,106,112,120,107
5,126,128,131,132,133,134,135,135,136,138,137,137,138,138,139,137,142,140,138,139,137,137,136,135,134,133,134,132,129,132,134,135,135,137,139,139,139,140,141,141,142,143,142,142,116,138,141,140,141,140,139,138,137,136,136,134,133,135,138,139,139,141,142,143,142,143,145,145,143,145,145,158,94,118,151,143,144,144,142,141,141,140,139,138,137,139,142,142,142,144,146,146,146,147,147,147,148,117,128,168,101,98,157,146,147,146,146,145,144,143,142,141,140,142,145,146,147,148,149,149,149,151,151,149,161,114,99,174,99,84,162,149,151,149,148,147,146,146,145,144,143,145,149,150,150,151,153,153,154,153,154,152,167,126,88,169,99,87,164,152,153,152,151,150,149,148,148,147,145,147,151,152,153,155,155,155,151,154,158,155,170,130,79,166,111,93,166,156,157,156,155,153,152,152,152,150,149,150,153,155,155,158,157,163,129,120,166,156,171,140,82,162,102,97,168,158,160,158,162,160,154,154,154,152,151,152,156,158,159,159,158,164,139,91,165,159,174,144,71,156,96,100,171,161,161,158,128,145,162,156,155,155,152,155,159,160,161,161,160,168,158,76,159,164,172,142,63,155,117,100,174,159,164,164,126,103,162,161,158,157,153,157,160,162,162,162,164,167,158,78,158,167,167,156,73,133,129,102,172,157,148,130,156,132,129,163,161,159,157,159,162,164,164,165,166,167,173,89,139,172,162,163,79,98,132,111,170,160,142,54,125,150,102,150,167,162,159,161,166,165,167,167,167,168,178,118,112,175,164,167,82,91,129,110,160,156,130,96,157,130,106,169,165,164,159,162,166,167,168,168,170,169,164,168,132,141,162,153,103,113,117,96,133,143,107,147,172,99,139,174,165,166,161,164,167,170,171,171,170,173,160,173,162,129,132,132,109,109,108,99,135,142,111,163,154,77,156,172,167,167,165,167,168,171,172,173,173,174,169,170,182,150,125,124,100,106,103,102,130,138,124,178,130,64,168,172,170,169,165,168,170,171,172,174,175,174,175,172,195,170,114,110,94,89,98,105,127,134,124,182,126,80,180,171,171,171,166,169,171,172,173,174,175,176,177,174,197,179,119,86,87,81,94,118,136,123,116,177,127,94,183,172,173,173,169,172,172,174,175,174,177,178,178,175,192,176,126,87,86,82,109,130,147,159,128,164,128,100,184,174,173,173,169,172,173,173,176,178,179,178,181,175,189,171,126,89,80,90,121,137,164,175,141,140,108,95,184,176,175,173,171,173,174,175,177,179,179,179,181,174,189,171,134,91,80,98,134,159,164,167,153,114,73,82,185,176,177,177,172,173,174,177,178,179,180,180,183,174,186,172,138,93,82,97,143,172,169,160,132,89,44,108,189,176,178,178,171,173,177,178,179,180,181,182,185,178,179,170,137,95,88,90,152,180,167,141,112,65,64,176,183,179,179,178,173,174,178,179,179,180,182,183,186,175,165,168,137,100,96,88,149,168,147,122,92,50,144,193,181,181,180,179,173,174,177,179,180,180,183,182,187,177,158,161,130,111,101,91,136,150,135,112,62,87,192,183,185,183,181,180,173,174,177,178,179,179,181,182,184,179,156,151,124,116,96,88,128,138,126,81,49,164,190,184,185,184,182,181,172,174,177,178,178,178,180,182,184,177,160,154,128,114,97,78,114,112,89,48,133,194,182,185,184,184,182,181,172,174,177,178,178,179,181,183,187,175,165,154,118,107,100,75,96,83,47,104,194,183,186,184,184,184,182,180
10,85,88,92,96,105,123,135,143,147,152,157,163,168,171,182,172,175,185,183,184,185,185,185,183,183,182,181,178,86,88,93,96,108,125,137,145,149,154,160,166,170,174,215,154,142,190,184,184,186,187,185,184,183,183,181,179,86,89,93,98,110,127,138,147,150,155,162,169,171,183,214,162,123,187,188,187,189,188,187,186,185,185,183,181,88,91,95,99,111,128,141,149,152,157,165,171,175,184,215,182,116,179,193,190,191,190,189,186,187,186,186,183,88,92,96,99,113,130,144,151,154,160,167,173,180,181,215,206,128,169,198,192,192,192,191,191,191,188,187,186,89,93,98,101,116,133,145,152,155,162,169,175,181,182,226,217,138,157,203,193,194,195,193,193,193,191,189,187,91,94,99,102,118,135,147,154,157,164,172,179,185,183,225,213,148,146,205,196,197,198,196,196,195,193,191,190,91,95,100,101,118,136,149,156,159,167,174,180,186,184,228,223,148,128,205,199,200,200,199,197,196,196,193,193,91,94,99,102,120,139,152,157,161,167,176,184,187,186,232,232,161,112,201,202,201,201,200,199,199,198,195,195,92,95,100,104,123,138,152,163,165,177,209,150,170,194,223,211,162,101,187,208,203,203,203,202,201,200,198,198,92,97,101,106,120,159,193,150,116,161,193,103,127,204,214,191,148,91,168,214,205,206,205,203,203,203,201,200,93,97,101,108,119,176,191,111,86,99,141,104,66,164,205,167,157,95,160,218,206,207,207,205,204,204,202,202,93,98,100,108,126,150,151,113,100,90,128,113,71,72,128,133,166,118,136,220,207,208,208,208,206,205,205,203,94,98,101,109,128,145,159,161,154,142,144,119,101,70,72,93,130,124,105,209,211,210,210,209,208,208,207,205,95,98,101,109,129,147,162,169,181,186,132,138,120,111,85,75,100,108,85,190,220,213,212,210,210,210,208,206,95,98,102,110,129,148,164,167,198,181,101,120,165,146,125,94,83,93,75,179,224,215,215,214,213,211,209,207,93,97,102,112,132,149,166,173,189,195,158,91,127,176,152,132,101,80,69,156,228,215,216,216,214,212,210,208,95,99,100,110,135,147,186,190,153,207,171,108,110,222,169,152,128,79,61,108,226,217,218,218,216,215,213,212,96,99,101,111,134,146,200,221,149,156,161,113,167,247,188,160,139,90,63,92,223,221,220,219,219,217,216,214,95,99,101,112,135,150,187,222,172,113,168,151,173,247,184,153,140,103,67,90,226,223,222,222,220,218,217,216,96,98,101,113,136,155,168,194,184,123,170,201,176,229,196,157,133,107,74,88,225,224,224,224,222,220,218,217,95,98,101,115,137,155,167,183,185,125,169,250,154,197,201,172,130,102,81,86,224,226,225,224,224,222,220,218,94,97,100,115,137,156,171,173,198,163,190,173,100,162,200,161,125,98,80,95,228,227,226,225,224,223,221,219,96,99,100,114,138,157,173,174,190,225,194,116,125,184,183,150,117,94,77,112,236,226,229,227,225,224,221,220,93,97,99,115,138,157,170,175,177,211,222,197,172,191,163,135,110,97,76,132,239,224,227,227,225,224,223,222,91,94,97,114,137,156,170,172,180,199,217,200,157,160,147,122,112,107,80,145,239,225,227,227,225,224,222,221,90,92,96,114,138,155,171,174,185,90,179,207,143,164,167,163,145,123,78,162,239,227,229,226,226,225,224,222,89,91,94,111,136,154,167,184,125,3,166,225,195,188,172,185,161,122,68,166,242,227,230,227,226,225,224,222
0,203,205,207,206,207,209,210,209,210,209,208,207,207,209,208,210,210,207,209,209,208,209,210,209,207,208,209,207,206,208,209,208,208,210,211,210,211,209,209,210,211,211,209,208,211,215,210,212,212,211,211,210,210,211,210,210,209,209,210,211,210,210,212,212,211,212,210,210,212,211,223,208,162,176,219,204,206,217,216,214,212,209,211,212,209,210,211,213,215,213,211,213,213,211,216,216,179,167,228,202,161,129,132,155,141,187,210,159,197,217,211,211,210,211,211,213,214,213,213,214,215,216,245,228,181,138,184,210,175,160,76,133,143,118,180,126,170,225,211,214,210,212,213,213,213,215,213,221,198,181,245,225,192,156,176,234,181,168,95,158,159,121,145,134,161,228,214,216,211,213,214,215,215,215,218,252,199,142,192,244,200,166,160,249,199,175,102,176,164,113,111,137,131,232,213,217,213,214,214,215,217,211,235,246,207,174,164,250,211,166,144,248,204,171,96,179,161,98,94,152,85,209,221,217,214,216,216,216,214,233,229,227,222,190,140,226,220,160,123,239,206,155,77,138,144,88,82,161,76,141,233,216,215,216,217,216,217,237,194,217,235,197,131,193,228,158,100,198,194,137,69,105,127,78,84,166,89,111,231,218,217,217,219,214,230,230,180,192,229,195,129,156,217,151,87,153,177,128,78,88,114,64,102,178,106,115,233,220,217,218,218,216,230,223,188,176,204,173,118,121,191,141,81,110,168,123,74,88,117,74,157,195,120,119,234,222,213,216,215,221,232,209,174,140,183,167,113,96,178,139,71,82,166,122,64,111,127,97,196,189,122,128,235,221,213,215,215,215,246,229,187,129,145,170,101,83,169,144,70,75,173,120,130,197,163,118,184,196,122,138,234,220,215,217,216,217,244,231,192,146,100,141,131,79,171,165,82,85,170,173,196,194,173,137,132,180,112,145,236,221,217,218,217,221,248,235,206,169,123,109,140,103,164,178,148,189,206,203,191,177,154,137,114,117,91,138,238,220,218,219,219,221,249,243,214,182,164,151,142,164,185,198,218,220,218,207,189,170,143,121,113,92,73,131,239,220,217,218,217,222,244,243,223,200,185,173,160,160,187,205,218,217,218,209,183,164,142,114,99,93,66,159,238,222,216,216,217,221,238,238,231,215,204,182,170,165,178,201,215,216,211,202,177,157,136,110,96,76,113,222,230,227,222,223,224,216,233,239,240,229,210,187,171,168,180,207,218,218,203,194,174,153,129,107,80,97,213,227,225,226,175,180,188,178,214,240,245,233,210,191,174,167,179,211,220,211,196,186,168,143,118,96,78,196,239,230,234,233,94,96,103,85,151,244,234,226,211,195,181,165,178,207,207,192,178,168,153,129,107,86,104,177,178,182,178,177,103,103,104,91,114,239,220,212,211,202,188,164,173,203,198,178,156,140,127,115,95,92,99,95,90,86,113,156,101,103,105,99,106,230,209,204,214,204,185,164,167,201,194,168,131,109,103,93,93,104,98,97,131,187,234,233,100,101,100,102,104,222,207,205,215,199,183,172,164,193,187,153,107,91,86,93,102,108,141,195,241,242,226,207,100,101,100,104,98,222,224,209,212,193,178,175,159,171,173,135,92,85,85,92,120,208,252,255,246,237,229,204,101,100,100,102,93,220,233,219,210,191,179,182,155,159,164,123,85,80,84,151,238,255,255,250,237,245,250,232,103,101,102,103,95,208,231,227,209,190,179,182,152,150,159,119,83,63,154,248,247,248,253,236,230,240,253,255
3,188,191,193,195,199,201,202,203,203,203,204,204,204,203,202,198,216,217,135,181,200,195,194,193,190,189,187,185,190,194,196,197,200,202,204,206,207,207,206,205,206,206,205,200,220,206,122,155,207,196,195,195,193,191,188,187,192,195,198,199,203,205,206,208,209,209,209,208,208,207,207,202,219,195,123,146,209,197,197,197,195,191,190,188,193,197,200,201,204,207,209,210,211,211,211,210,210,209,208,205,219,197,123,142,209,199,200,197,195,194,192,190,196,199,202,204,206,209,211,212,213,213,213,212,212,212,210,206,223,221,143,135,207,202,201,200,197,196,194,191,199,201,203,207,209,211,213,215,216,216,216,216,215,213,212,207,229,225,143,127,206,203,202,201,198,196,195,193,199,203,206,209,212,214,216,217,218,218,218,217,216,216,215,208,234,215,133,125,209,205,203,202,200,197,196,195,201,205,209,211,215,217,219,220,221,220,220,220,218,218,217,210,234,214,136,127,212,208,206,204,202,199,197,196,203,207,211,215,217,218,221,222,223,223,223,223,222,220,219,215,245,211,138,127,212,209,208,206,204,201,200,197,205,209,213,216,218,221,223,225,225,226,225,225,224,221,222,211,196,171,117,125,218,209,209,208,205,202,199,197,206,211,215,218,221,224,226,227,228,228,228,227,225,228,248,205,135,103,83,146,224,210,211,210,206,204,201,199,208,213,217,220,224,226,227,229,230,230,229,226,224,206,203,208,162,122,67,188,226,212,214,212,209,206,203,201,210,214,218,222,225,227,230,230,232,232,226,241,241,173,112,174,233,151,109,168,210,221,216,213,210,208,205,203,210,216,219,223,226,229,231,233,228,236,199,159,215,180,130,150,240,144,123,104,137,161,215,215,211,210,208,205,211,217,221,224,228,231,232,232,247,248,200,135,166,204,149,127,202,154,142,123,154,116,187,223,211,211,209,207,213,218,222,226,229,232,232,240,251,234,220,177,135,198,148,114,166,166,154,134,149,103,177,226,213,213,210,208,212,218,223,226,230,233,232,255,250,221,229,182,128,167,147,113,156,127,118,148,127,93,174,229,214,215,212,210,212,217,223,226,230,232,232,249,242,194,200,180,120,134,144,96,185,187,100,170,156,95,150,230,214,213,211,209,215,219,224,229,231,234,236,238,238,212,199,159,99,128,128,77,180,194,104,152,162,92,130,230,215,214,210,207,215,220,225,228,231,234,236,242,251,233,211,148,123,132,141,105,164,168,143,145,133,87,174,227,213,214,215,218,214,220,226,229,231,234,235,240,255,240,226,153,131,131,155,168,220,197,168,147,97,115,229,227,228,225,204,161,217,223,229,233,235,238,241,243,255,249,221,169,150,139,203,232,209,176,139,131,93,182,234,193,166,138,92,66,165,165,167,169,170,170,167,167,238,245,212,191,163,154,214,223,188,155,131,118,95,124,103,65,50,47,54,59,139,141,140,141,140,137,140,124,201,244,213,195,177,145,180,191,162,136,120,100,70,49,47,50,57,54,47,50,147,148,147,147,147,148,158,126,124,242,215,194,176,136,137,135,129,115,100,70,53,56,57,49,48,58,53,46,148,148,146,146,146,146,148,121,64,148,207,197,154,117,119,116,119,91,54,69,46,43,53,52,44,48,56,55,148,150,151,149,148,149,143,95,79,74,115,144,125,120,112,105,93,52,24,53,63,33,41,51,48,45,49,55,149,150,150,148,147,151,124,82,84,81,69,81,111,103,84,75,53,28,26,40,64,48,29,46,49,46,46,53
21,72,79,87,101,115,124,131,135,139,142,144,147,150,153,156,159,160,162,164,165,166,166,167,167,168,168,168,167,73,80,89,104,117,126,132,136,140,143,146,149,152,155,150,160,163,164,165,166,168,169,169,169,170,169,169,169,75,82,90,107,119,128,134,138,142,145,147,152,159,162,105,153,165,167,168,168,170,171,171,171,171,172,171,171,76,84,92,109,121,128,135,140,143,146,150,153,167,160,101,149,168,168,169,171,173,173,172,172,173,173,173,173,77,85,94,111,122,130,136,141,146,149,152,155,170,159,106,145,168,171,171,172,175,175,175,175,177,175,175,174,78,86,96,112,123,132,137,141,146,150,152,156,173,165,112,143,170,171,173,173,177,177,171,161,176,177,177,177,79,88,98,115,124,133,139,144,148,150,153,157,175,165,117,136,172,174,176,176,177,175,145,108,164,179,179,179,81,89,100,117,126,135,140,145,149,150,154,158,176,165,120,124,173,174,177,177,179,163,126,110,175,181,180,180,83,90,101,118,126,134,141,147,150,151,155,160,181,167,121,121,174,175,178,180,177,144,108,155,183,182,182,181,84,91,104,120,129,137,142,148,151,152,157,160,188,170,127,126,175,176,179,176,156,124,127,181,184,183,183,182,84,92,107,121,130,138,143,148,151,154,162,147,172,152,121,122,176,177,181,171,137,107,170,184,185,185,185,184,86,93,108,121,131,138,144,149,152,161,159,128,121,112,107,122,177,178,179,159,115,139,185,185,186,186,185,185,87,95,110,122,131,139,145,151,162,177,136,121,91,84,92,122,161,165,162,128,109,178,186,187,187,187,186,186,88,95,111,123,132,139,146,152,186,189,166,139,93,72,85,112,141,143,126,97,154,186,186,187,187,188,187,186,88,96,113,124,132,140,146,158,192,197,195,140,95,73,80,100,118,120,99,116,183,188,188,188,188,189,189,189,89,97,114,124,133,140,147,167,174,163,170,128,93,79,77,91,102,103,92,170,188,189,188,189,189,189,190,189,90,98,115,125,133,141,147,184,165,121,138,136,104,83,78,82,89,84,118,187,188,189,190,190,190,190,190,189,91,99,116,125,134,142,151,183,140,113,117,151,116,90,80,76,81,80,145,188,189,190,190,190,190,191,192,190,91,101,118,125,135,141,162,183,153,142,138,172,131,110,89,77,76,79,154,189,191,192,191,191,191,191,192,190,91,102,117,125,135,143,174,183,166,141,174,194,139,124,94,76,76,81,168,189,191,192,193,193,193,193,192,191,92,103,119,126,136,143,184,193,164,147,205,178,135,120,94,76,75,85,180,191,192,192,193,193,193,193,193,192,93,104,119,127,136,143,190,184,157,157,197,163,130,113,100,79,75,104,189,192,192,192,193,193,194,194,193,193,92,104,118,127,137,144,183,170,166,158,193,158,144,110,91,79,75,138,190,192,192,192,193,194,195,194,193,194,92,106,119,130,139,145,171,174,182,159,193,150,137,110,84,78,75,162,190,191,193,193,194,195,195,195,194,194,92,107,120,130,138,146,162,192,174,154,180,137,117,95,79,75,82,176,191,192,193,194,195,195,196,196,195,195,90,107,120,129,137,146,156,186,167,146,159,127,105,90,79,71,96,184,190,193,194,195,196,196,196,196,195,195,89,106,117,127,136,145,151,171,156,148,151,133,117,98,80,68,108,186,189,190,193,193,194,194,195,195,195,195,89,106,116,127,136,145,151,163,159,154,152,144,129,100,78,64,115,186,187,189,192,193,194,194,194,195,195,194
10,93,100,112,118,123,127,131,133,136,139,140,143,144,145,146,149,151,153,154,155,156,159,159,160,160,161,163,164,93,102,113,119,123,128,131,134,138,140,141,144,145,146,148,150,137,149,155,156,158,160,160,161,162,163,164,165,95,104,114,120,124,129,132,134,139,141,142,144,147,149,153,158,119,135,157,157,159,161,162,163,164,165,165,165,98,107,117,122,126,130,133,136,139,141,143,145,148,150,158,164,122,120,157,158,161,162,163,164,165,166,167,167,99,107,117,123,127,130,134,138,140,143,144,147,149,151,158,165,130,112,156,159,162,164,164,165,167,168,168,169,99,109,119,124,127,132,136,138,140,143,145,147,149,152,155,167,140,111,153,161,163,165,166,166,168,169,169,170,100,110,120,124,128,134,137,138,141,144,145,153,137,137,156,173,152,113,144,163,163,165,165,166,169,169,170,171,102,112,120,125,130,135,138,140,143,144,148,158,132,102,150,171,156,117,130,165,164,165,166,168,170,170,171,172,104,114,121,125,130,135,138,141,145,146,153,152,128,87,133,167,153,118,119,165,166,167,167,170,171,171,172,172,105,116,123,126,130,140,136,127,123,124,141,160,139,102,112,165,141,116,111,164,167,168,168,171,172,172,173,173,105,115,123,127,130,144,123,94,81,80,89,141,152,116,90,150,124,112,103,162,167,169,171,172,173,174,174,174,107,117,123,128,131,133,115,91,76,82,85,111,154,129,88,130,105,106,98,157,169,171,172,173,174,175,175,175,108,117,123,127,132,136,135,129,120,98,83,97,154,140,95,103,88,99,92,150,171,171,172,173,175,176,176,176,108,118,123,129,133,138,140,160,164,115,71,109,164,147,102,77,81,96,94,139,172,173,174,173,174,175,176,176,110,119,124,129,135,138,141,164,166,119,66,105,176,149,111,74,79,94,93,124,173,173,174,174,175,176,176,176,111,120,124,130,134,148,160,163,170,125,61,114,184,150,116,79,78,91,90,109,173,175,175,175,177,178,178,178,113,121,125,130,132,156,174,160,165,125,70,146,176,148,112,79,71,85,85,99,172,175,175,176,177,178,179,179,113,121,126,131,133,147,171,153,155,130,126,181,164,147,112,81,72,81,78,111,174,174,175,176,178,178,178,179,113,121,126,130,134,139,151,136,143,149,177,185,160,143,116,85,75,78,76,141,175,175,176,177,178,178,179,179,114,121,125,130,135,138,149,135,146,176,194,182,159,136,114,89,76,73,86,164,174,175,177,178,179,179,180,180,116,122,125,129,135,139,160,161,145,171,193,176,155,133,113,90,75,68,110,174,174,175,177,178,179,179,180,180,117,122,126,130,136,138,170,175,147,156,190,175,155,131,113,92,75,69,137,175,174,175,177,179,179,179,180,180,117,122,127,132,137,139,176,182,161,171,186,173,156,131,114,94,75,82,161,173,174,176,178,179,179,180,180,181,116,121,126,132,136,141,183,190,169,176,184,173,157,133,115,95,72,109,173,174,175,177,179,180,180,180,180,181,117,121,126,132,137,140,181,188,174,176,179,177,165,137,115,94,73,138,174,174,175,176,178,179,180,181,181,182,117,121,126,132,136,140,175,180,169,176,176,178,170,140,113,90,84,160,173,174,176,177,178,179,180,181,182,182,117,121,127,133,137,141,166,170,169,176,176,178,169,138,110,84,109,172,174,175,176,178,180,180,181,181,181,182,118,122,128,133,137,141,157,168,176,182,175,174,165,135,107,82,137,174,173,175,177,178,180,180,181,181,181,183
14,177,177,177,177,177,178,179,179,178,179,179,178,179,178,179,179,179,179,178,178,179,178,177,178,177,177,179,143,180,180,180,180,180,180,181,182,183,182,183,182,181,181,181,181,182,183,181,181,181,180,179,180,179,177,182,127,182,182,182,181,183,183,183,184,183,183,182,183,183,184,182,186,187,183,184,184,184,182,181,181,180,181,182,157,185,184,184,186,186,186,185,185,188,193,183,173,186,185,172,169,182,188,188,186,186,186,185,185,183,183,183,174,188,188,188,190,189,188,186,197,211,178,173,171,174,162,134,149,166,171,176,192,188,190,190,188,186,185,186,182,191,191,190,193,190,197,209,205,188,122,99,122,134,132,93,89,149,133,111,194,191,192,192,190,188,188,188,186,193,193,193,195,188,211,220,146,113,90,54,68,86,93,74,68,100,103,73,172,202,194,188,192,191,190,190,190,195,194,194,197,188,220,213,136,71,61,55,50,57,64,67,61,71,80,94,107,172,170,142,155,195,190,192,192,197,196,197,199,190,226,208,151,90,65,62,57,56,55,64,61,62,97,142,108,86,164,138,140,201,193,195,193,200,198,200,199,192,227,194,128,71,55,61,70,67,55,65,69,64,78,97,71,136,185,110,164,205,196,197,196,200,199,201,199,203,228,191,148,104,68,55,67,59,71,63,86,138,173,151,120,185,172,100,175,206,198,198,198,202,202,203,200,211,231,198,162,127,93,78,59,62,94,72,135,220,205,213,191,189,170,98,169,208,199,200,200,205,205,206,200,218,237,207,167,115,90,82,76,76,80,74,175,211,202,204,177,185,161,99,158,212,200,201,201,205,206,207,201,221,243,213,168,108,83,77,74,91,76,97,212,205,208,197,183,187,156,98,135,216,202,202,202,206,207,207,204,222,242,215,181,131,89,69,70,88,74,129,222,203,209,187,199,191,149,86,163,215,203,205,204,206,207,210,203,220,245,218,183,144,101,70,68,81,63,147,212,211,200,176,201,192,125,110,214,208,207,207,206,209,210,213,201,214,244,220,191,154,106,77,72,69,67,109,130,171,169,178,191,173,102,171,219,207,210,207,207,211,211,213,202,214,243,221,193,162,121,86,57,72,84,100,128,146,156,173,177,139,113,211,211,212,213,211,209,211,211,214,204,215,242,226,196,167,133,100,59,77,90,120,148,159,155,150,150,106,158,222,212,214,214,212,210,213,212,215,203,213,241,227,201,172,138,108,72,76,104,139,161,164,144,130,114,94,204,217,215,214,214,213,213,214,212,216,203,206,240,225,205,175,143,111,87,75,103,142,161,161,141,112,93,121,225,212,214,214,215,216,215,215,213,217,206,204,236,225,208,179,150,115,97,77,94,139,160,155,127,102,95,192,221,216,216,215,215,215,214,217,217,217,205,208,233,225,209,183,157,123,106,89,90,145,157,145,118,85,144,231,216,218,217,216,216,216,215,219,218,220,203,212,238,224,207,189,164,123,111,104,85,142,142,128,109,80,191,227,218,219,219,217,217,218,217,219,219,224,204,218,241,221,207,195,168,127,112,107,88,122,128,121,96,104,224,222,220,219,219,219,218,218,217,220,219,222,205,231,237,224,219,196,169,128,111,103,92,108,115,112,80,166,233,222,222,221,220,219,218,218,218,220,220,216,204,239,238,227,214,187,154,121,106,99,94,101,103,92,118,225,225,223,223,222,220,220,220,219,219,221,222,209,205,234,235,224,199,167,137,113,100,94,98,100,100,94,198,232,223,224,224,223,221,221,221,220,219
3,191,194,196,198,201,203,204,205,205,205,205,206,206,205,204,200,217,218,143,185,202,198,197,195,193,192,190,189,193,197,198,200,203,204,206,208,208,208,208,207,208,207,207,202,220,207,131,162,209,199,198,198,195,194,192,190,194,198,200,202,205,207,208,210,210,210,211,210,209,209,208,204,220,198,132,153,211,200,199,199,197,194,193,191,196,199,202,203,206,209,210,211,212,212,212,211,211,211,210,207,220,200,132,150,210,201,202,200,198,197,195,193,199,201,204,206,208,210,212,214,214,214,214,213,213,213,212,208,223,222,150,143,208,204,203,202,200,198,196,194,201,203,205,208,211,212,214,216,217,217,217,217,215,214,213,208,229,225,150,136,208,205,204,203,201,199,198,196,202,205,207,210,213,215,217,218,218,218,219,218,217,217,216,210,233,216,141,134,210,207,205,204,202,199,199,198,203,206,210,213,216,218,219,220,222,220,221,220,219,219,218,211,234,215,144,136,213,209,208,205,204,202,199,198,205,209,213,215,217,219,222,223,223,223,223,223,222,221,219,216,244,212,146,136,213,210,210,207,206,203,202,200,206,211,214,217,219,222,223,225,225,226,225,225,224,221,222,212,199,176,126,134,218,211,211,209,206,204,202,200,208,213,216,219,221,224,225,227,227,227,227,227,225,227,246,207,143,114,96,153,224,212,213,211,208,205,203,201,209,214,218,220,224,226,227,229,230,229,229,226,224,207,204,209,168,131,81,191,226,213,215,213,210,207,205,203,211,215,219,222,225,227,229,230,231,231,226,240,239,178,122,179,233,157,119,173,211,221,217,214,211,209,207,205,212,216,220,223,226,229,230,232,227,235,202,165,216,184,138,157,239,151,132,114,145,167,216,215,212,212,210,206,212,217,221,224,228,231,232,231,245,246,202,143,171,206,156,135,204,161,149,132,160,126,191,223,212,212,210,208,214,218,223,226,229,231,231,239,248,233,220,181,143,201,155,124,171,171,161,142,156,114,181,226,214,214,212,209,213,219,223,226,229,232,232,252,248,221,229,186,137,172,154,123,162,136,127,155,136,105,178,228,215,215,213,211,213,218,223,226,229,232,231,247,240,197,202,184,129,142,152,108,188,190,111,175,162,106,157,229,215,214,212,211,216,219,224,228,231,233,235,237,237,213,201,165,110,136,137,91,184,197,114,158,167,104,139,230,215,215,211,209,215,220,225,228,230,233,235,240,249,232,212,155,132,140,149,116,170,173,151,152,141,99,178,227,214,215,216,219,215,221,226,229,231,233,234,239,252,239,226,159,139,140,161,173,220,200,173,154,108,124,228,227,228,225,206,166,217,223,228,232,234,237,240,241,252,247,222,174,156,147,205,231,210,181,146,140,105,186,233,196,171,145,103,80,170,171,172,174,175,175,173,173,237,243,213,194,168,160,215,223,191,162,139,128,106,133,114,80,66,63,69,73,146,148,148,148,147,145,147,133,203,242,214,197,181,152,184,194,167,144,129,112,83,65,63,65,72,69,63,66,154,155,154,154,154,155,164,135,133,240,215,197,180,144,145,143,138,125,111,84,68,71,72,65,64,73,69,62,155,155,153,153,153,153,155,130,79,155,209,200,160,126,128,126,128,103,70,83,62,59,69,67,60,64,71,70,155,157,157,156,155,156,150,107,92,87,125,151,134,130,122,116,104,67,42,68,77,50,58,66,64,61,64,70,156,156,156,155,154,157,133,95,96,94,83,94,121,114,97,89,68,45,43,57,78,64,47,62,65,62,62,68
7,171,172,172,173,173,173,173,173,172,172,172,171,170,170,169,168,168,166,165,165,164,164,152,86,72,61,65,85,174,174,174,175,175,175,175,175,175,174,174,173,172,172,172,171,170,167,166,166,166,165,168,104,64,49,59,73,175,176,176,178,179,178,176,177,177,177,176,175,174,174,173,172,172,170,169,169,168,168,171,129,49,38,56,63,178,179,181,180,181,181,180,179,179,179,178,178,178,177,175,174,174,173,172,171,170,169,169,159,59,32,44,57,179,180,182,181,182,181,181,181,181,181,180,180,180,180,177,176,176,175,173,172,172,170,170,171,122,71,53,71,180,181,182,183,184,182,183,184,184,183,181,181,180,169,168,172,171,164,158,161,153,169,168,166,128,132,142,130,182,184,185,186,187,186,186,185,184,184,183,185,183,163,152,171,176,163,151,151,140,175,164,151,94,155,166,158,185,187,188,188,187,187,188,188,189,195,200,198,187,166,159,165,152,151,136,134,129,127,128,156,114,163,127,148,186,188,188,190,189,186,184,193,203,206,205,195,185,176,175,165,129,128,152,141,135,125,122,124,112,138,114,172,187,190,191,191,206,197,187,189,196,195,191,188,186,185,179,161,142,134,150,147,140,139,124,105,106,138,122,176,189,191,190,204,220,206,193,186,190,193,191,190,188,183,179,156,143,135,126,118,115,114,103,96,89,102,126,164,190,191,192,220,221,206,178,169,179,190,190,186,178,165,153,133,120,112,108,112,117,125,123,130,140,150,169,175,193,193,202,226,217,197,166,167,177,169,163,153,141,132,120,106,105,163,184,181,183,184,182,183,181,180,168,116,195,193,218,224,213,193,182,176,163,154,158,162,156,150,145,148,129,99,166,191,188,185,184,182,180,179,178,121,193,201,229,222,218,215,211,185,162,166,167,166,156,146,142,139,120,67,58,174,190,186,184,184,181,180,179,164,190,217,228,225,223,223,218,180,148,158,156,150,143,139,132,122,105,72,41,150,193,188,186,184,183,180,179,179,205,229,228,225,222,218,206,172,152,139,117,104,113,127,137,143,143,85,69,175,191,188,188,186,185,182,181,178,226,230,229,226,220,211,197,178,160,143,123,124,154,170,158,147,156,108,169,193,190,189,189,187,185,184,181,179,228,230,229,224,214,205,188,167,165,165,145,152,164,155,145,135,129,96,186,195,192,191,190,188,186,184,183,181,229,229,226,221,208,187,165,172,187,176,154,152,148,138,132,122,101,91,192,196,194,192,190,190,188,186,184,182,230,227,223,215,196,183,185,199,197,180,157,130,117,105,92,80,83,153,199,196,196,194,192,190,189,188,185,182,227,221,214,204,197,197,199,195,186,163,132,105,101,114,90,131,178,199,198,197,196,195,193,190,188,188,185,184,219,212,206,203,203,202,188,178,173,152,124,107,173,203,196,203,203,200,200,197,196,196,194,193,189,188,187,186,207,205,207,200,196,194,180,175,162,128,100,175,209,205,205,203,201,201,200,199,197,196,195,194,192,190,188,185,199,196,200,194,185,181,174,158,126,95,164,210,206,205,203,202,202,202,202,199,199,197,196,194,192,190,189,180,198,192,187,177,167,164,151,124,92,152,210,206,204,204,203,202,201,201,199,197,197,196,196,194,192,193,188,171,193,184,172,155,147,137,112,92,153,209,208,207,205,205,203,202,201,201,199,198,197,196,195,192,192,170,165,177,173,160,143,127,115,100,85,155,212,207,208,207,207,205,203,202,201,201,199,199,198,196,195,194,183,85,65,124
8,212,212,213,212,214,213,213,213,214,215,214,213,212,213,212,212,211,211,212,211,210,210,207,207,207,210,191,83,213,214,215,216,216,214,215,216,216,214,212,215,214,214,216,215,213,213,213,213,212,212,209,210,210,209,208,152,216,218,218,217,217,218,216,217,219,222,163,205,222,218,219,219,218,217,216,215,215,213,211,210,211,210,211,126,217,219,219,218,219,219,219,217,224,223,134,199,225,220,220,220,220,218,218,217,217,215,215,213,213,214,204,143,219,219,220,220,220,219,221,216,235,202,117,213,224,221,220,222,221,220,220,219,218,217,218,216,215,214,210,180,221,221,221,222,221,220,221,220,246,182,117,229,224,223,223,225,223,221,222,222,220,218,218,218,217,216,212,214,221,221,224,224,223,225,222,226,250,171,133,233,224,225,226,226,224,224,223,221,221,220,220,219,218,218,215,216,223,223,225,226,225,226,223,235,243,141,159,236,224,231,227,226,230,225,224,224,222,224,220,220,220,218,217,215,225,226,225,225,227,228,222,242,230,136,166,244,204,199,230,220,211,231,231,231,227,224,225,221,222,219,220,220,226,227,227,227,227,227,224,247,226,147,173,255,207,147,199,213,151,177,205,201,217,174,181,230,221,224,222,221,228,228,228,228,229,228,227,250,228,154,219,255,231,166,160,207,172,114,140,159,206,142,128,235,223,225,223,221,228,228,228,228,230,229,232,248,223,166,251,255,246,184,131,200,169,138,189,161,226,145,123,237,223,224,223,223,229,228,229,229,231,228,241,232,217,201,234,255,254,193,118,188,151,179,205,163,231,182,132,232,227,225,225,224,229,229,229,229,231,232,238,204,221,226,199,242,255,198,113,158,152,199,183,160,222,208,156,188,238,226,227,225,228,228,229,229,229,237,237,176,215,211,194,220,255,207,114,115,158,205,168,126,215,210,149,135,241,225,227,226,227,228,229,229,226,242,238,163,173,192,169,192,252,201,105,95,153,196,146,119,220,193,118,165,240,227,228,227,228,228,229,230,227,250,255,162,147,153,146,147,227,212,118,85,159,213,132,151,208,148,110,224,229,227,226,226,228,229,229,229,232,255,255,184,132,149,139,143,196,225,159,64,150,173,130,184,156,101,157,239,225,227,226,226,228,229,230,228,236,255,255,207,126,135,139,135,180,193,123,109,202,180,196,197,124,100,222,231,227,228,228,227,228,229,230,230,241,255,255,218,127,138,151,139,204,214,183,220,217,191,176,184,112,124,242,228,231,230,227,227,227,228,229,228,242,255,255,220,132,150,148,171,237,244,246,229,209,192,149,144,98,159,244,228,232,231,229,227,235,237,238,236,243,255,255,209,151,169,147,219,253,248,246,232,210,178,138,105,105,226,235,231,232,231,230,228,164,167,171,166,220,255,255,215,180,175,151,229,255,255,246,226,199,159,122,85,163,246,235,235,227,225,229,231,101,101,104,87,172,255,252,229,188,185,162,217,255,255,227,209,180,136,108,93,128,140,137,152,187,227,239,234,115,114,116,104,148,255,250,228,189,188,167,217,255,246,213,186,155,117,102,92,98,129,172,217,235,234,235,230,114,112,115,103,145,255,236,211,185,182,169,234,253,222,194,156,132,100,101,163,198,234,245,243,245,236,220,221,112,112,119,102,168,255,225,206,189,180,184,227,225,208,169,135,124,79,166,255,250,217,208,214,224,237,231,218,112,111,117,101,194,251,220,205,193,184,193,212,207,194,151,128,117,112,213,219,249,242,211,198,206,209,204,210
8,187,186,187,186,188,187,187,187,188,188,188,187,186,187,187,186,186,186,186,185,185,184,182,181,182,185,168,75,187,188,189,189,189,188,189,190,190,188,186,189,188,188,190,189,187,187,187,187,186,186,184,184,185,183,183,134,189,191,191,191,191,191,190,191,192,195,143,180,194,192,193,192,191,190,190,189,189,187,185,185,185,185,185,111,191,192,192,192,192,192,192,190,197,195,118,175,198,193,193,193,193,192,191,191,190,189,189,187,187,188,179,127,192,192,193,193,193,193,194,190,206,177,104,187,197,194,193,195,194,194,193,193,192,191,191,190,189,188,185,159,194,194,194,195,194,193,194,193,216,160,104,201,196,196,195,197,196,194,194,195,193,191,192,191,190,190,186,188,194,194,196,197,196,197,195,198,220,151,118,205,197,197,198,199,196,196,196,194,194,193,194,192,192,191,189,189,195,196,197,198,198,199,196,206,213,125,140,207,197,203,199,198,202,197,197,197,195,196,193,194,193,192,191,189,197,198,198,198,199,200,195,212,202,121,147,214,180,175,202,193,186,202,202,203,199,197,198,194,195,192,193,193,199,199,199,199,199,199,197,217,199,130,152,234,182,130,175,187,133,156,181,176,191,154,160,202,194,196,195,194,200,200,200,200,201,200,199,219,200,136,192,238,203,147,141,182,152,101,124,140,181,126,113,207,196,198,196,194,200,200,200,200,202,201,204,217,196,147,220,239,216,162,116,176,149,122,167,142,198,128,109,208,196,196,196,196,201,200,201,201,202,200,211,204,190,177,205,236,223,170,105,165,133,158,181,144,202,160,117,203,199,198,198,197,201,201,201,201,202,204,209,179,194,199,175,212,225,174,101,139,134,175,161,141,195,183,137,165,208,198,199,197,200,200,201,201,201,208,208,155,189,186,171,193,227,182,101,102,140,180,148,112,189,184,131,119,211,198,199,199,200,200,201,201,199,212,209,143,152,169,149,169,221,177,94,85,135,172,129,106,193,170,105,145,210,200,200,199,200,200,201,202,199,219,223,143,130,135,129,130,200,186,105,76,140,187,117,134,183,130,98,196,201,199,199,198,200,201,201,201,204,227,229,162,117,132,123,127,173,197,140,58,133,153,115,162,137,90,138,210,198,199,199,198,201,201,201,200,207,228,228,182,111,120,123,119,159,170,109,97,178,159,172,173,110,89,195,203,199,200,200,199,200,201,202,202,211,228,228,192,112,122,133,122,179,188,161,193,191,168,155,162,99,109,212,200,203,202,200,199,199,200,201,200,212,228,230,193,117,132,131,150,208,214,216,201,184,169,132,128,87,140,214,200,203,203,201,200,206,208,209,207,213,225,227,184,134,149,130,193,222,218,216,204,184,157,122,93,93,198,206,203,203,203,202,200,145,147,151,146,193,232,224,189,159,154,133,201,225,228,216,199,175,140,108,76,144,216,206,206,199,198,201,203,90,90,92,78,151,237,221,201,166,163,143,191,232,231,200,183,159,120,96,83,113,124,121,134,165,199,210,205,102,101,103,92,131,233,219,200,167,166,147,191,235,215,187,164,136,103,91,82,88,114,152,191,206,205,206,202,101,99,102,92,128,229,207,185,163,160,149,205,222,195,171,137,117,89,90,144,174,206,215,213,215,207,193,194,99,100,105,91,148,224,197,181,166,159,162,199,198,183,149,119,110,71,146,240,219,190,183,188,196,208,203,191,100,98,104,90,171,220,193,180,170,162,170,186,182,171,133,113,104,99,187,192,218,212,185,174,181,184,179,184
21,128,131,133,135,137,139,140,142,145,146,146,145,144,149,147,147,148,148,146,147,147,147,149,148,145,145,144,142,129,132,134,137,139,140,143,145,146,147,145,153,161,130,148,151,150,150,149,149,149,149,149,149,148,146,147,146,131,134,136,139,141,143,145,146,147,150,147,165,189,123,123,157,152,152,152,152,152,152,151,150,151,151,149,147,133,136,138,140,143,145,147,148,150,152,153,150,190,154,98,151,156,153,154,153,153,154,152,155,146,141,152,148,133,137,139,142,144,146,148,150,152,153,155,150,172,181,125,130,159,155,156,155,155,156,153,174,135,101,156,151,134,139,141,144,145,147,150,152,154,153,154,153,159,197,162,116,153,159,157,158,158,155,160,182,123,105,159,151,136,140,143,145,146,149,151,154,155,155,156,158,154,192,179,118,134,163,158,158,159,154,174,176,108,126,160,152,139,141,144,146,148,151,152,154,155,157,157,159,153,181,189,132,118,163,159,159,160,161,188,162,105,148,160,156,140,143,145,147,151,153,153,155,157,158,159,160,157,171,186,153,109,160,162,162,158,172,180,139,103,161,158,157,141,144,147,150,152,154,155,157,158,160,161,158,170,198,178,159,94,123,169,159,163,185,170,109,122,167,158,158,142,146,148,151,153,155,157,158,159,161,160,166,175,194,181,155,120,92,151,167,173,187,160,99,154,165,161,159,144,146,148,152,155,157,158,159,160,162,164,201,171,163,198,172,164,152,117,144,166,171,127,111,170,162,163,161,145,148,151,153,156,158,159,160,163,162,173,184,184,167,151,159,190,174,114,89,130,132,94,140,170,163,164,163,146,149,151,153,157,159,160,162,164,161,176,176,150,117,71,80,165,174,128,85,97,101,91,164,166,165,165,164,147,150,152,155,158,159,161,164,166,162,180,171,115,114,97,78,117,191,153,102,79,80,104,173,166,166,165,165,147,151,153,156,158,160,163,165,166,164,184,180,165,144,106,108,103,184,177,119,79,68,121,177,167,168,167,167,149,152,155,158,159,162,164,166,167,164,195,197,156,127,109,126,122,186,194,142,94,64,126,178,168,170,170,169,151,153,156,158,160,163,164,166,169,167,198,180,136,123,128,142,152,203,193,155,111,70,121,180,168,170,169,169,150,153,156,159,161,164,165,167,169,169,197,184,156,149,148,150,178,206,186,153,115,71,121,180,169,170,170,169,149,152,156,158,161,164,164,166,169,166,198,195,166,152,157,165,191,206,184,146,122,74,118,181,169,171,170,170,151,154,156,159,162,164,165,167,170,166,194,202,177,154,163,174,201,205,188,148,121,77,122,182,170,171,171,170,152,156,159,161,163,164,166,168,171,167,191,206,180,164,163,185,206,196,181,145,118,75,127,182,172,172,172,171,153,156,159,160,163,165,167,169,173,171,186,206,184,182,173,188,206,194,174,146,112,73,122,185,173,175,174,174,153,157,159,163,164,166,170,171,173,173,179,205,193,192,186,182,201,182,166,143,106,70,118,186,174,176,175,175,155,157,160,163,164,168,171,172,174,174,173,195,200,195,188,177,186,167,153,139,101,66,124,187,176,175,179,177,149,153,157,160,164,167,170,172,174,176,173,188,204,195,177,159,169,160,144,144,96,59,151,192,182,185,167,114,102,103,106,110,112,113,117,118,118,118,120,138,202,186,160,136,145,160,141,140,87,59,135,145,144,148,95,71,78,79,79,79,77,79,82,81,78,83,70,57,184,169,142,127,140,161,131,130,73,45,61,76,84,85,65,66
12,178,179,181,183,184,183,183,184,185,186,185,184,184,183,185,187,182,179,179,177,177,177,174,173,172,170,169,166,179,184,185,185,186,187,186,186,187,187,188,188,186,185,174,158,171,185,179,179,179,177,175,174,174,172,169,167,182,184,185,187,187,188,189,189,188,188,187,173,184,188,135,105,82,160,191,183,184,181,176,176,175,175,171,169,184,186,187,188,188,188,189,191,188,190,169,118,98,145,147,120,80,89,170,132,118,157,184,175,175,174,172,170,186,188,188,188,189,192,190,190,188,199,167,133,93,83,164,129,103,76,74,104,86,61,157,185,177,175,173,171,186,187,189,189,191,191,193,193,190,203,179,148,124,73,158,142,111,83,51,98,94,42,87,192,178,177,175,172,187,189,189,190,192,192,193,192,197,206,196,157,130,76,127,148,114,88,40,93,90,51,57,189,179,178,177,175,190,192,191,192,193,193,194,192,205,182,205,165,132,85,93,148,116,89,41,78,98,53,60,190,179,179,177,176,190,191,192,192,192,194,191,189,178,113,164,174,123,93,77,149,119,93,49,68,101,51,78,195,179,181,179,178,189,191,192,193,194,190,189,196,159,93,83,167,129,92,55,143,133,100,63,42,83,43,121,197,181,182,181,179,191,193,194,194,194,206,206,182,130,91,51,138,133,80,43,131,165,126,79,38,64,35,143,195,183,184,181,179,192,193,196,194,203,204,177,163,119,105,56,112,134,92,56,141,183,134,82,48,73,53,168,192,186,184,182,181,193,194,195,194,218,193,145,164,128,115,66,78,147,133,78,105,159,107,57,47,80,49,150,199,186,184,183,180,194,194,193,203,199,171,124,122,139,108,67,52,154,144,106,38,36,35,30,69,79,28,75,202,186,186,185,182,195,195,195,204,188,154,125,80,121,116,88,42,126,144,96,41,16,55,67,67,46,38,43,184,192,187,185,183,192,196,197,200,202,173,144,103,86,130,89,48,25,85,89,44,70,97,113,92,58,45,59,190,189,188,185,185,194,197,198,201,206,180,149,119,81,106,81,70,20,92,164,137,127,116,124,98,66,26,111,205,188,190,186,184,196,197,200,202,208,190,158,130,98,74,95,103,63,158,196,177,148,125,117,89,58,22,153,203,190,190,187,184,195,197,199,205,200,180,155,128,98,76,83,99,121,191,186,165,140,121,102,84,47,31,182,196,192,190,187,186,197,199,201,202,186,169,155,128,91,103,73,109,173,183,174,153,132,114,94,79,29,91,207,190,192,190,188,187,197,200,201,199,186,173,159,124,94,117,97,159,177,175,167,143,123,103,85,55,45,187,198,193,192,191,188,187,199,201,201,203,190,171,160,131,110,107,109,166,165,173,162,136,109,89,78,29,103,214,194,195,193,193,191,188,198,201,201,204,193,175,163,142,118,93,107,163,159,162,145,123,94,77,59,23,174,206,199,196,194,193,192,190,198,201,202,203,200,187,164,139,116,88,98,148,148,142,127,101,77,67,26,84,214,200,198,196,194,193,192,191,198,201,203,203,203,185,161,142,121,102,100,134,137,120,106,88,68,45,30,185,206,199,198,195,195,194,193,191,200,201,204,203,206,177,148,134,116,113,103,124,140,121,101,83,64,16,132,215,199,200,199,197,194,194,195,192,201,202,204,203,206,175,151,142,134,132,118,124,136,118,96,76,38,68,211,203,203,201,199,199,196,194,194,193,201,202,203,198,202,177,156,156,147,135,125,126,132,111,73,61,29,156,215,202,204,202,201,200,198,196,194,193
7,119,120,120,121,120,120,120,119,119,120,120,120,121,120,119,118,118,118,109,32,16,37,51,52,71,91,102,121,121,122,123,123,123,122,122,122,123,122,123,122,121,121,121,121,120,124,91,23,31,52,46,48,69,88,106,122,125,125,125,125,126,126,126,126,127,126,126,126,125,125,123,123,121,127,70,20,36,44,47,43,65,92,111,123,127,127,128,127,127,127,127,127,129,128,127,124,123,125,122,121,118,122,97,72,86,45,40,57,72,102,117,118,130,130,131,130,130,130,129,130,131,130,132,123,110,123,129,122,110,112,104,120,149,76,35,57,81,113,118,111,132,132,133,133,135,133,131,133,140,144,140,128,117,124,124,121,112,108,103,99,128,81,49,69,96,122,119,110,135,136,135,134,134,135,142,149,152,149,141,129,129,125,98,105,123,115,115,106,105,90,89,122,110,124,126,115,139,138,139,138,133,140,147,146,143,139,137,138,132,122,105,111,126,116,115,110,90,86,75,100,96,122,131,127,140,138,155,152,142,141,143,140,141,141,139,138,132,115,111,104,93,82,77,75,65,62,67,68,74,120,130,134,140,144,164,152,137,134,140,142,141,139,134,126,116,101,90,81,79,82,93,92,73,124,119,101,76,120,127,135,143,149,161,150,125,122,131,133,131,119,98,85,67,63,90,129,138,137,147,124,96,157,101,127,85,114,125,130,144,152,157,141,119,123,124,110,93,74,81,105,78,79,85,69,134,143,141,135,122,89,82,147,87,101,124,122,144,155,154,140,141,137,124,114,107,114,118,115,108,105,113,57,81,153,139,142,140,94,129,152,92,81,121,116,149,157,156,159,164,145,116,118,123,122,116,105,102,101,96,56,77,153,142,143,140,135,123,139,115,75,114,118,151,157,159,165,164,140,109,109,107,100,101,96,91,86,70,63,141,148,145,144,142,141,149,138,127,113,116,120,152,158,161,163,149,130,118,110,89,72,78,90,87,84,72,80,153,147,146,146,146,144,124,94,98,121,118,120,158,161,161,155,141,134,135,138,111,90,100,113,107,93,90,79,120,156,148,146,147,152,122,89,109,116,116,121,162,164,158,148,141,133,144,143,111,90,97,99,91,81,81,62,119,156,148,149,149,151,144,113,126,111,115,120,161,162,156,149,141,142,154,137,106,90,91,89,86,80,65,77,150,152,152,151,149,148,149,127,120,114,108,117,159,161,155,146,145,150,145,123,97,83,74,69,61,49,64,137,157,152,152,151,150,150,151,135,122,119,105,109,157,156,150,144,146,137,123,107,95,87,67,48,59,94,140,160,153,153,152,151,151,151,152,141,123,128,111,96,151,151,146,143,142,130,117,111,100,85,92,132,148,163,160,157,155,154,154,154,153,152,154,142,122,131,126,107,147,146,145,140,138,130,122,112,84,66,148,167,159,157,156,156,156,156,155,156,154,152,153,142,119,129,128,118,146,139,140,140,127,120,112,88,54,113,169,158,159,159,158,158,157,156,155,155,155,154,154,142,120,126,125,121,143,134,129,124,114,104,89,60,81,163,162,161,162,162,161,160,158,156,157,157,156,155,156,143,122,126,123,116,136,128,122,109,94,80,58,65,150,165,162,163,161,162,160,160,159,159,158,158,156,155,157,139,123,126,122,116,121,113,105,90,71,56,69,142,167,162,163,163,163,163,162,162,160,159,157,158,157,157,154,131,126,126,122,114,107,97,92,81,62,89,151,167,162,163,163,163,163,163,163,163,162,161,160,159,158,159,144,125,129,129,125,117
4,191,192,192,192,192,193,193,193,193,192,193,193,192,192,192,191,190,187,188,188,187,186,184,184,182,182,181,180,193,194,195,195,195,195,195,195,195,194,194,195,196,194,193,193,193,195,192,189,188,187,187,186,185,184,183,181,198,197,198,197,197,198,197,197,197,198,197,195,193,199,198,189,164,155,190,195,194,193,188,188,188,187,186,185,200,199,199,200,199,199,199,199,199,198,197,183,159,161,197,192,163,122,145,193,159,168,193,190,189,189,187,186,202,201,201,202,202,201,201,201,201,200,204,207,182,152,141,187,181,145,108,159,152,111,157,200,189,191,189,188,202,202,203,204,204,203,203,204,202,196,193,196,203,181,136,136,186,163,110,136,162,116,107,198,192,193,191,190,205,204,204,205,205,206,205,207,198,187,185,143,163,180,123,105,183,162,110,117,164,131,95,193,195,193,192,191,206,206,207,207,207,206,207,206,201,198,189,142,120,161,115,99,164,133,90,137,169,137,107,200,197,196,195,195,207,207,208,207,208,208,208,209,194,154,181,158,114,141,146,97,133,120,78,144,143,102,123,209,197,198,198,196,209,208,209,209,209,209,209,208,207,154,140,182,144,124,172,105,112,137,133,138,105,68,145,212,199,200,199,198,210,210,209,210,211,209,208,211,196,138,113,172,148,164,171,151,154,153,179,150,94,72,182,207,201,202,200,199,210,210,211,211,210,210,210,212,196,171,168,140,94,181,171,160,169,157,167,141,102,95,206,204,203,203,202,200,211,211,211,211,212,212,211,211,207,193,156,120,88,117,148,137,140,137,131,130,120,93,179,213,204,204,203,201,212,212,212,212,213,212,211,210,208,181,142,109,99,97,115,125,125,120,112,141,135,108,110,211,206,205,205,204,213,213,213,213,213,214,212,210,200,164,130,106,103,122,127,155,164,159,141,148,149,140,92,160,217,203,205,204,214,215,215,215,215,215,213,207,201,175,143,113,115,122,146,183,183,197,184,159,186,161,109,106,214,206,206,205,216,216,215,216,216,216,215,205,202,178,144,111,111,131,164,193,194,205,209,191,175,160,106,101,213,208,207,206,216,217,216,216,216,217,216,199,200,188,152,119,117,133,167,201,202,210,200,185,165,134,88,134,221,207,208,207,216,216,217,217,217,217,217,195,199,195,159,132,126,129,176,207,211,210,192,173,155,118,80,183,218,209,209,208,217,217,218,218,218,218,220,195,193,196,169,139,128,134,183,212,211,202,184,164,147,100,101,217,211,211,210,209,217,217,218,219,218,218,221,199,180,187,169,142,129,140,192,209,200,193,174,150,134,85,150,224,209,212,210,210,217,217,217,218,218,218,221,212,177,187,175,145,139,145,196,200,191,182,161,137,113,85,201,219,213,212,211,211,216,216,217,218,217,217,217,220,189,185,180,159,157,142,192,191,188,168,146,127,87,125,225,212,214,212,210,210,216,216,217,218,217,217,217,222,204,181,181,171,157,133,174,182,179,156,128,106,79,194,218,211,211,211,210,210,217,216,218,218,218,218,218,221,211,186,178,165,151,135,156,164,153,130,107,73,141,226,212,214,213,212,211,210,217,218,218,218,218,218,219,221,213,193,181,163,148,137,145,154,133,108,84,89,213,218,216,215,213,212,211,210,217,219,219,219,218,218,220,222,203,194,182,167,155,148,143,149,136,106,72,150,229,214,217,215,213,212,211,212,217,217,218,218,219,218,220,218,190,193,185,178,175,162,150,142,128,97,81,192,223,216,216,215,214,213,212,204
22,31,59,78,82,86,90,94,105,119,129,136,139,142,146,149,153,156,158,159,160,162,163,164,164,163,164,163,162,31,62,79,83,87,91,95,106,120,131,137,140,143,147,151,154,157,159,160,148,154,164,165,164,165,165,164,162,33,65,80,84,88,91,96,107,121,132,138,142,145,149,153,157,158,163,162,126,140,165,159,153,164,166,165,164,37,69,81,85,88,92,97,108,122,133,139,145,147,145,154,158,160,168,164,120,141,167,145,129,161,167,167,166,41,71,82,86,90,93,98,110,123,134,141,153,148,124,148,159,162,175,165,120,148,171,138,125,163,169,168,168,46,73,83,87,90,94,99,111,125,137,143,155,143,109,142,161,165,179,162,122,156,176,137,133,168,172,171,170,52,77,84,88,91,95,100,113,127,138,145,153,144,110,136,162,167,176,153,122,163,176,134,143,172,173,173,172,56,79,85,88,92,95,102,115,128,139,146,151,148,114,128,162,168,170,142,119,167,170,128,151,175,175,174,174,60,80,86,89,93,96,103,116,129,140,147,151,151,120,118,157,169,164,133,121,173,158,122,159,177,177,177,177,64,81,86,89,93,96,103,117,131,141,147,150,154,126,108,147,166,154,125,124,175,146,124,167,179,179,179,178,69,83,87,90,93,97,104,118,132,142,148,151,159,144,112,134,157,143,121,136,174,135,129,173,180,181,181,180,74,84,87,90,93,97,105,119,132,142,149,152,159,156,117,117,143,144,141,164,169,125,138,177,182,182,182,182,78,85,87,90,93,97,106,120,133,143,151,157,146,138,108,107,136,159,178,183,157,117,148,181,183,183,183,183,81,86,88,90,93,97,106,120,133,144,155,162,146,131,111,112,136,168,187,181,146,115,158,184,185,185,185,184,83,86,88,91,94,98,107,121,133,144,154,163,169,162,130,103,117,150,171,170,140,115,164,186,186,186,186,186,85,86,88,90,94,98,107,122,135,145,155,170,180,174,136,104,101,121,141,146,127,112,164,188,188,188,187,187,86,87,88,90,94,98,108,123,136,146,156,177,173,157,142,122,104,103,108,112,110,106,159,189,190,190,189,189,87,87,88,91,95,99,108,123,137,147,156,178,171,151,150,143,124,108,99,92,96,101,154,189,191,192,190,190,88,88,88,90,94,99,109,124,137,147,156,181,179,158,151,157,146,131,109,90,87,97,152,190,193,193,193,192,88,87,87,90,93,98,109,125,138,148,157,182,186,164,160,183,162,142,115,94,88,97,153,192,194,194,194,193,87,87,87,90,93,98,110,125,139,149,156,178,190,166,172,199,168,139,114,99,93,100,158,193,195,195,194,194,88,88,88,90,93,99,110,126,139,149,156,171,184,161,176,195,168,138,115,103,96,105,164,195,197,196,196,196,88,88,88,90,93,100,112,126,139,149,155,165,175,162,173,185,168,143,117,103,97,107,166,195,197,198,198,198,88,88,89,91,94,100,112,127,139,149,155,161,170,170,173,177,162,138,115,102,97,107,166,197,199,200,200,200,88,87,88,91,94,100,113,127,140,150,155,159,168,174,167,164,152,125,109,101,95,102,163,198,200,201,200,200,88,87,87,90,93,99,113,127,140,150,155,159,166,170,157,151,147,124,111,103,94,95,154,197,201,201,200,200,87,86,86,88,92,98,111,126,139,149,154,159,166,165,151,152,160,147,128,108,94,89,137,192,199,200,200,199,86,85,85,88,91,97,110,126,139,148,153,159,165,169,167,171,172,160,142,114,93,86,119,184,198,200,200,199
0,199,201,203,205,207,208,209,211,211,212,212,212,212,212,212,212,212,211,211,211,211,210,210,210,211,210,208,207,200,201,204,206,208,210,211,212,213,213,214,214,214,213,213,214,213,213,213,213,212,211,211,211,211,211,210,208,201,203,205,207,209,211,212,212,213,214,214,216,216,215,215,216,216,214,214,214,212,212,212,212,210,210,210,210,203,204,207,208,210,212,213,214,214,215,217,217,217,220,216,216,217,218,215,214,213,214,214,212,213,212,211,211,204,206,208,209,212,214,215,215,217,219,219,214,213,202,215,218,193,192,218,218,215,214,216,215,214,213,211,212,205,207,208,210,213,214,215,216,219,209,209,237,211,167,165,223,191,139,189,212,209,201,185,219,214,214,213,213,207,209,209,212,214,215,216,217,226,198,166,223,227,190,151,222,200,161,126,144,181,214,153,210,219,215,215,214,206,209,211,212,214,216,214,222,239,225,183,170,233,193,152,220,203,164,121,165,179,217,173,165,221,215,217,215,206,209,212,213,215,217,216,233,232,231,207,145,205,199,146,217,209,155,140,188,154,211,200,156,177,220,216,216,208,210,212,214,215,216,221,234,196,225,199,129,174,203,147,214,202,140,140,185,128,185,213,187,144,180,225,215,210,212,214,214,216,213,230,236,190,217,175,123,173,185,139,192,179,131,135,176,134,209,232,197,140,158,226,215,211,213,214,216,217,216,237,231,201,211,163,123,170,164,129,163,162,128,132,164,148,230,225,191,129,191,224,217,212,213,214,217,217,221,245,220,182,186,177,128,154,157,124,155,156,111,170,180,192,224,208,161,135,221,219,219,212,214,216,219,218,222,250,232,201,162,148,113,163,177,125,171,164,152,204,197,198,209,178,131,171,231,219,220,213,215,217,219,218,226,249,230,212,186,146,127,153,159,122,154,207,223,208,197,174,174,157,119,205,227,222,220,213,215,218,220,218,233,250,228,215,200,175,143,144,165,176,214,234,222,201,189,165,144,138,126,222,224,223,222,215,216,218,221,219,235,250,230,215,202,187,149,145,178,219,241,235,217,192,180,154,135,115,162,233,222,224,224,215,217,219,221,218,232,250,234,216,206,198,164,154,175,228,239,233,208,184,167,143,121,122,221,227,224,225,224,216,218,219,222,219,228,248,237,219,207,201,177,156,182,236,240,222,197,171,152,133,109,186,233,224,225,225,224,216,219,219,223,222,225,247,238,224,207,196,179,156,192,233,231,206,188,163,141,113,152,235,226,227,225,225,226,216,218,221,223,222,226,247,235,223,208,191,174,161,205,220,206,197,180,154,125,116,217,230,228,228,227,226,226,217,219,220,223,221,225,248,234,225,209,186,172,177,207,192,189,184,163,142,107,185,236,228,229,229,228,227,226,217,219,219,223,217,237,251,237,235,211,189,179,190,201,177,181,166,150,114,153,235,230,231,230,230,229,228,226,217,219,222,221,221,252,246,238,233,207,188,184,192,184,174,171,157,128,134,228,234,231,231,230,230,229,228,227,216,219,223,217,236,247,229,230,227,196,181,187,181,171,166,157,134,126,214,235,232,231,230,231,230,230,228,228,216,218,220,212,244,235,212,205,206,186,177,184,172,163,157,140,122,194,234,230,231,231,231,231,230,229,229,228,215,220,214,217,248,226,203,186,182,168,180,184,155,153,151,117,165,235,232,232,232,232,231,230,230,230,229,228,217,221,209,236,246,217,189,183,172,155,184,174,141,153,131,126,217,233,231,232,232,233,231,231,230,230,230,230
7,95,105,119,144,155,163,169,172,173,177,179,181,182,183,184,185,186,185,184,182,181,181,180,178,176,175,172,170,95,106,121,145,157,164,170,173,175,179,181,183,184,185,187,187,187,187,186,185,184,183,182,180,178,177,174,173,97,107,123,146,158,165,171,174,177,179,182,185,186,187,188,189,190,189,188,187,187,185,184,182,180,179,177,175,99,108,124,147,158,167,172,175,178,181,184,186,187,189,190,192,191,191,190,189,188,187,185,184,183,182,180,177,100,110,126,149,159,168,173,177,179,183,186,187,188,189,190,192,192,192,191,189,189,188,187,186,185,183,181,179,101,110,127,149,160,168,175,178,180,184,187,188,189,191,191,193,195,195,195,196,195,193,192,188,186,184,182,180,102,111,127,151,160,169,175,177,179,184,188,191,193,196,195,194,192,190,184,173,173,174,184,191,188,186,185,183,103,112,128,151,161,170,177,182,183,183,183,182,173,167,158,137,139,142,134,125,166,170,145,196,189,188,187,184,103,112,130,152,162,170,175,162,153,148,151,149,135,128,123,108,120,111,113,116,127,122,136,185,193,190,186,185,105,113,131,152,159,177,166,128,130,137,137,134,128,119,119,118,113,121,120,116,109,103,117,137,153,193,187,186,105,114,130,154,174,177,153,118,106,107,113,123,133,139,140,123,103,130,126,109,105,94,104,122,116,191,190,187,106,110,140,174,173,160,152,139,132,136,147,148,142,137,128,104,93,100,93,85,88,90,97,114,159,196,189,188,99,131,176,173,164,165,151,133,128,132,139,128,123,116,96,87,104,127,147,164,179,186,193,198,200,194,191,188,133,183,177,169,169,156,134,96,97,109,99,85,79,88,151,185,197,208,210,208,206,203,201,198,197,195,192,190,185,182,173,172,151,136,119,86,86,78,61,55,61,65,72,144,212,199,200,201,201,201,201,200,198,196,193,191,175,175,176,159,141,131,124,114,91,73,76,79,76,72,53,90,211,201,204,203,203,202,202,201,199,195,195,192,174,176,161,138,131,126,138,143,103,75,80,79,76,74,67,72,195,208,204,204,204,203,203,201,199,196,194,192,173,157,134,123,122,120,123,115,81,66,57,61,70,73,61,61,184,210,204,205,203,203,202,201,199,197,195,193,150,133,127,125,122,109,100,89,76,63,62,81,87,74,73,182,208,205,206,205,203,202,202,201,200,197,195,193,130,129,124,116,105,93,87,96,97,80,77,73,69,73,153,211,201,203,203,202,202,202,201,199,197,195,194,191,130,120,106,100,97,95,101,112,98,69,78,114,150,188,207,200,203,204,202,201,201,201,200,199,196,195,192,189,121,114,108,108,104,96,91,83,70,105,175,202,205,203,200,202,202,202,202,201,201,201,200,199,197,195,191,186,90,88,94,91,84,80,82,110,154,190,196,193,195,199,200,201,201,202,202,203,202,201,200,199,197,195,193,193,63,59,31,62,149,149,171,188,193,188,192,196,198,199,201,202,202,201,201,200,198,196,195,192,191,192,188,144,65,58,4,65,164,144,144,139,137,137,138,136,134,134,135,135,131,127,127,125,123,119,115,117,103,81,65,32,56,30,4,69,110,102,104,104,105,106,105,105,106,105,105,103,103,104,102,100,99,99,100,84,41,20,17,12,5,0,12,86,118,113,112,112,112,112,111,112,112,112,112,111,111,112,111,107,107,98,62,29,20,19,15,6,15,34,41,74,115,111,111,111,112,112,112,111,112,111,111,110,108,106,105,106,82,46,15,15,13,11,10,6
7,121,131,138,138,143,149,156,159,162,164,167,169,171,173,175,177,178,179,179,179,178,179,179,178,177,177,176,175,122,132,137,139,144,150,156,160,163,166,168,170,174,176,176,177,179,181,181,182,181,182,183,180,179,178,177,176,125,133,138,140,145,152,156,160,165,167,170,171,175,177,178,179,181,182,183,183,183,182,183,182,181,181,179,177,125,133,137,140,145,153,157,161,166,168,170,173,175,179,180,181,182,183,184,184,183,184,185,184,183,183,182,180,127,134,138,141,147,153,158,161,165,170,172,175,178,180,181,183,183,185,184,184,186,185,185,185,185,184,183,181,129,137,141,143,149,154,158,163,167,169,174,176,179,182,183,184,184,187,187,186,186,186,185,186,186,185,184,182,130,138,143,145,150,156,161,165,168,171,177,178,181,184,185,188,187,189,189,189,188,188,188,187,188,186,186,184,130,138,143,146,152,155,158,166,168,171,174,176,176,183,185,185,187,189,189,190,192,189,188,188,189,187,187,185,129,139,145,145,147,162,187,189,176,180,190,190,190,186,177,171,181,177,179,178,183,191,193,191,190,190,189,188,132,140,139,148,180,205,210,198,174,164,182,194,199,194,173,174,196,180,167,157,141,170,178,190,191,191,190,191,128,139,170,203,210,205,209,196,164,156,166,179,184,183,158,157,178,165,157,150,139,155,139,192,198,193,192,192,158,199,212,208,205,207,206,182,158,156,172,198,202,207,186,181,176,167,181,172,155,148,154,167,178,194,194,192,214,213,208,216,208,208,212,195,134,121,128,154,160,164,169,175,173,175,182,186,174,170,174,153,168,165,190,193,216,216,215,216,210,216,223,187,119,96,107,93,75,98,121,134,138,140,140,146,148,149,151,143,158,146,192,196,221,217,215,216,215,217,212,150,105,99,101,104,78,53,73,181,184,188,185,181,175,167,167,164,163,183,196,194,215,214,211,213,212,215,201,141,90,93,114,115,110,86,83,198,198,198,199,202,202,202,202,201,200,197,195,194,221,219,217,220,222,228,207,129,88,73,65,108,132,104,77,167,202,196,198,197,197,196,195,195,195,195,195,194,218,217,213,205,208,209,164,120,92,91,60,70,107,107,102,179,201,197,199,199,200,199,199,199,196,197,197,196,203,201,188,179,186,171,136,117,108,94,88,78,115,145,172,196,197,198,199,200,200,202,201,200,198,198,197,197,186,175,170,166,169,144,112,105,101,103,86,84,179,200,197,195,197,199,199,200,201,202,200,199,200,200,198,197,156,157,146,130,118,117,136,147,123,121,122,147,192,190,193,196,199,200,200,201,199,201,201,200,200,200,199,197,122,119,108,110,129,156,171,179,181,181,187,190,190,192,195,197,198,200,199,200,200,200,201,200,197,197,197,197,94,87,88,113,124,119,117,118,118,119,119,118,119,121,123,121,122,124,125,122,120,119,119,117,115,115,114,112,69,88,96,91,96,93,91,89,89,89,89,89,91,92,89,86,86,87,89,90,91,90,89,88,84,83,84,83,88,95,100,100,101,103,101,101,102,102,103,101,101,101,99,104,104,100,99,98,98,98,97,95,92,94,94,84,91,94,101,101,101,102,100,98,99,100,100,98,98,97,97,104,106,103,104,98,95,94,94,94,95,90,84,126,92,89,101,102,102,101,100,100,101,101,100,100,101,99,99,99,96,97,99,96,96,94,94,96,90,101,165,195,90,83,97,104,103,104,103,102,103,104,103,102,102,102,102,100,98,98,98,97,98,95,93,92,95,189,182,159
2,197,197,197,198,199,199,199,198,199,198,198,198,198,198,198,198,197,197,197,196,195,193,193,195,191,114,83,102,200,201,202,200,200,201,200,201,201,202,202,203,201,200,201,200,197,202,199,201,195,196,197,201,181,98,96,106,204,205,206,204,204,205,205,205,205,206,206,205,201,207,213,183,136,171,186,172,206,201,199,201,194,118,105,101,207,207,208,207,206,208,207,208,209,207,205,208,216,212,176,139,112,118,141,116,159,197,202,200,205,144,104,108,210,210,210,209,209,210,209,211,210,210,222,230,196,146,122,111,106,107,115,106,99,168,210,200,210,160,100,98,213,213,213,212,212,213,213,214,210,221,234,212,142,102,106,103,98,93,103,105,95,166,213,203,209,182,106,83,215,215,216,215,215,215,216,216,212,238,214,147,112,94,97,102,95,91,94,101,134,204,209,206,206,207,111,69,218,217,218,218,218,217,218,216,223,246,175,113,104,97,91,97,101,112,153,185,212,213,210,208,208,209,148,133,219,219,220,221,220,220,220,214,237,232,160,119,105,112,101,103,113,182,224,217,214,214,213,211,211,213,181,166,219,221,223,223,223,223,221,224,243,206,142,105,102,108,101,124,199,221,215,216,217,217,215,213,212,222,147,176,223,223,224,224,224,225,219,237,239,191,141,109,104,100,106,161,236,218,220,219,218,218,218,217,214,220,161,206,224,226,227,226,225,226,224,250,231,183,142,125,116,105,104,181,231,224,224,221,221,220,219,218,217,217,202,188,225,226,228,229,228,224,235,255,218,170,134,122,120,117,111,215,230,225,225,224,224,223,222,220,218,218,221,195,227,227,229,230,230,223,246,253,208,159,125,118,114,117,132,230,228,227,226,225,225,225,224,223,221,222,219,214,229,230,229,229,227,224,255,241,201,158,126,115,113,114,140,234,228,227,226,226,225,225,224,224,223,223,220,214,229,230,230,232,225,240,255,228,190,149,126,117,120,109,158,241,228,228,228,227,227,226,227,227,227,228,227,221,231,231,232,233,227,255,249,217,179,143,125,115,113,103,146,241,229,230,230,230,232,232,226,216,209,202,211,228,233,233,235,228,230,255,242,209,171,137,121,110,107,118,110,177,244,231,236,234,218,205,196,193,189,178,151,181,233,234,238,224,243,255,235,199,162,136,118,100,110,121,123,117,207,233,218,198,191,192,202,196,175,158,146,166,235,237,233,229,255,251,225,185,152,134,111,96,118,122,128,135,136,159,172,190,205,197,177,146,154,200,222,228,237,240,227,244,255,243,216,178,149,131,104,106,132,136,147,149,147,154,178,196,185,155,129,160,229,234,232,231,240,234,231,255,253,237,204,172,146,130,105,118,142,149,154,151,152,157,168,152,144,166,199,234,234,230,230,229,237,230,253,255,246,228,198,165,136,127,112,129,147,156,157,152,144,136,130,160,213,239,240,235,234,233,232,231,225,242,255,249,241,225,191,156,131,127,119,142,153,155,150,139,125,131,189,241,241,237,236,236,236,235,235,234,236,247,248,241,229,203,169,142,131,123,126,145,148,150,135,122,172,224,245,239,238,240,239,238,237,236,236,236,243,245,240,222,202,177,153,135,130,124,132,138,143,136,120,187,249,245,239,240,240,241,241,241,239,238,238,237,240,239,224,202,184,168,146,132,128,131,131,130,128,138,203,249,241,242,243,242,242,242,242,242,240,239,237,236,238,230,211,180,170,149,130,132,133,132,130,124,172,236,250,243,245,245,244,245,244,243,243,242,241,240,239,238
0,180,177,178,179,179,179,178,177,178,179,179,179,178,178,177,177,176,175,175,174,172,171,171,171,169,167,167,167,182,182,181,181,182,182,181,181,181,181,181,180,181,180,178,178,177,176,177,176,175,174,173,174,171,170,169,168,184,184,184,184,184,184,184,184,183,182,182,182,182,181,181,180,179,177,178,176,176,175,175,174,172,170,169,169,184,184,184,185,184,184,184,184,184,184,184,184,183,181,183,182,180,180,180,176,177,177,175,175,175,173,172,170,185,185,185,185,185,184,184,185,185,185,186,186,185,184,184,187,183,182,185,183,179,178,178,177,176,175,174,174,187,187,187,186,185,186,185,185,186,186,186,186,184,186,179,164,181,188,165,161,185,155,150,183,176,176,176,175,187,187,188,187,186,186,186,186,186,186,186,189,191,183,144,105,103,149,123,95,117,159,95,177,180,177,177,174,188,188,188,188,188,189,189,189,190,193,189,167,142,154,141,112,65,72,129,97,60,157,95,137,192,175,179,175,189,189,190,190,189,189,188,188,170,169,178,146,91,70,136,120,94,81,130,103,63,134,129,70,167,186,177,178,190,191,191,191,190,190,187,175,134,87,157,142,102,58,127,128,107,79,137,107,55,105,143,83,79,166,182,178,191,191,191,191,190,191,176,168,142,93,141,149,115,71,122,135,97,76,143,110,49,64,148,117,66,96,195,176,191,192,192,192,193,188,163,161,154,114,124,158,113,74,100,137,94,60,117,95,41,67,153,126,58,105,195,178,194,194,193,193,193,183,150,141,153,122,108,150,108,72,83,136,93,31,54,54,25,117,160,119,46,156,189,180,195,194,192,193,192,178,169,128,136,118,77,132,115,82,48,79,55,4,34,35,77,155,154,91,71,191,182,184,196,195,194,194,190,171,149,97,106,77,33,98,107,74,18,15,30,75,119,101,135,156,134,59,120,197,182,184,195,196,196,198,186,168,157,120,88,51,24,41,63,29,12,47,118,157,154,141,120,141,109,38,164,192,184,185,196,197,196,199,184,172,170,145,105,84,68,70,80,85,108,143,163,156,148,142,104,102,70,50,194,187,186,185,197,197,196,199,182,172,178,150,123,102,91,102,131,157,166,170,170,158,141,130,86,69,29,130,200,187,187,185,197,197,196,200,183,165,178,155,129,99,100,110,157,170,172,175,169,146,129,114,76,23,92,199,188,189,189,187,196,197,196,198,188,155,169,157,136,112,107,127,172,175,172,175,157,132,112,96,38,65,197,191,189,190,191,189,196,197,196,197,196,158,165,163,143,131,119,141,170,175,173,161,136,120,100,63,37,179,195,189,189,189,189,188,197,197,196,197,202,168,154,166,156,142,120,144,166,167,164,145,118,103,80,27,144,201,186,190,189,189,188,186,197,198,198,196,199,184,149,161,154,137,119,136,158,151,142,122,98,82,28,105,205,189,192,190,189,189,187,187,198,197,198,198,199,196,156,157,146,130,119,129,148,137,122,101,78,29,73,199,193,194,191,190,190,190,189,188,197,197,197,198,199,194,163,158,139,123,119,123,142,129,103,87,36,66,195,195,193,195,193,192,191,191,190,189,196,196,196,196,199,186,162,155,146,143,138,128,134,125,92,55,38,188,198,194,195,195,193,192,191,191,189,188,201,200,200,200,203,166,161,163,158,153,142,130,129,111,75,27,114,210,192,197,195,194,195,193,193,192,189,186,163,166,170,173,176,151,165,172,163,151,142,132,115,87,63,31,161,200,195,197,197,195,194,193,192,191,189,187
21,130,133,137,141,143,145,147,149,150,152,152,154,155,154,156,153,152,152,152,151,151,150,148,149,147,144,145,144,129,134,139,143,144,147,149,151,152,153,155,156,157,157,155,156,157,154,154,153,151,151,150,149,149,146,146,145,132,135,139,143,145,149,150,151,153,155,157,158,160,157,165,126,126,163,155,156,155,153,152,151,150,149,148,147,133,137,141,144,147,150,152,152,154,157,159,160,160,160,181,108,82,166,157,157,155,154,153,152,152,151,149,147,133,137,143,146,148,152,154,155,156,159,161,161,159,163,177,107,94,166,158,158,157,154,156,156,154,152,152,151,135,139,143,148,149,151,155,157,158,160,161,162,159,170,176,104,98,168,159,159,158,130,103,156,156,154,153,153,137,142,144,149,152,153,157,159,160,160,161,164,162,175,176,105,104,170,160,160,154,116,74,152,158,156,154,153,137,142,146,150,154,156,159,160,161,162,164,166,164,177,171,107,108,171,161,160,150,107,89,164,157,158,156,154,137,141,146,150,153,156,158,160,162,165,165,167,163,181,167,105,102,173,162,159,144,92,113,169,159,159,157,155,137,142,147,152,154,158,159,161,164,166,166,167,164,186,168,103,98,173,163,156,139,85,143,166,161,160,159,157,140,144,149,155,156,158,161,162,165,167,168,169,166,194,169,96,111,176,157,151,119,89,165,164,162,161,160,158,141,146,150,153,157,159,161,164,166,167,167,166,173,191,150,85,125,174,152,150,89,109,172,163,162,162,162,161,141,147,151,153,157,160,162,165,165,174,151,118,143,169,118,70,130,172,161,137,78,147,171,165,163,163,162,161,141,148,152,155,158,161,163,166,165,176,149,99,90,85,81,64,138,167,160,109,90,172,167,167,166,165,164,162,142,148,151,155,159,162,165,166,172,169,163,143,122,79,59,83,124,141,136,81,125,179,167,168,167,166,165,164,144,150,153,156,160,163,167,166,185,190,179,194,159,111,60,74,89,105,100,74,159,174,168,169,169,167,166,166,145,149,153,158,161,165,165,176,170,168,175,190,148,94,68,64,76,84,75,97,179,172,172,171,170,169,168,166,145,150,154,159,162,166,165,185,142,131,162,136,142,104,78,66,62,74,63,129,184,172,173,172,171,171,168,167,146,150,155,160,164,167,166,188,168,136,108,79,149,129,87,71,60,66,64,150,183,174,174,173,173,171,169,170,146,151,156,161,164,166,170,189,155,110,87,64,126,148,105,79,68,66,59,149,183,174,174,174,173,172,170,170,147,151,156,161,166,165,175,191,146,129,126,93,154,166,123,103,75,70,59,148,186,174,174,175,175,174,172,170,147,152,157,162,167,164,183,193,156,150,115,135,211,167,128,118,82,73,66,155,186,177,177,177,175,174,173,173,147,152,157,163,167,166,185,195,177,139,121,195,200,154,121,115,89,76,71,159,186,179,178,176,176,175,174,173,148,154,158,164,168,167,184,208,178,132,142,202,183,149,117,104,93,78,81,172,185,179,180,179,178,176,175,175,146,152,158,163,167,166,184,199,152,147,145,199,179,154,135,95,85,77,93,182,182,179,180,180,177,177,176,175,144,151,158,161,164,165,179,178,149,172,136,196,179,145,134,100,83,76,109,186,179,180,179,179,176,174,174,174,145,151,158,162,165,167,174,170,183,178,141,192,165,133,113,94,86,75,122,188,180,181,179,178,177,175,176,174,145,152,158,162,165,168,171,174,186,164,135,177,151,120,95,85,83,72,137,188,180,182,180,179,178,175,176,174
4,137,138,141,142,142,144,146,150,150,152,153,154,155,157,159,159,160,161,163,164,164,164,164,163,165,165,167,168,137,139,141,143,143,146,147,150,152,153,153,154,156,156,158,160,160,162,163,164,165,165,166,167,167,167,167,168,137,140,142,143,146,147,148,151,151,152,153,155,159,156,154,156,163,162,163,162,164,166,167,168,168,169,169,169,137,140,144,144,146,146,149,150,153,160,155,145,147,172,160,135,129,165,161,167,166,165,167,169,169,168,170,170,138,141,144,147,147,146,146,150,153,162,171,153,105,141,168,128,94,116,139,124,159,169,169,170,170,170,171,171,140,143,144,146,145,148,178,167,145,107,158,153,101,107,157,118,84,90,126,86,114,178,168,170,171,170,170,170,141,143,146,148,142,166,202,177,133,93,137,152,103,88,153,146,80,91,131,97,102,177,168,170,172,172,171,172,141,142,146,149,145,180,169,181,141,98,113,166,117,66,147,160,88,91,153,101,99,181,168,171,173,173,173,174,142,145,147,148,147,189,154,152,164,117,77,165,127,43,107,172,133,108,130,108,108,157,174,171,173,173,174,174,143,145,147,147,153,187,154,136,128,100,56,93,104,44,71,159,142,127,120,124,125,108,170,174,174,174,175,175,144,146,150,146,161,186,160,144,124,105,95,75,101,89,86,130,146,143,129,116,127,122,141,180,173,175,176,177,145,146,151,143,181,184,155,131,123,111,94,98,122,103,113,126,137,130,112,133,160,136,116,178,174,176,177,178,145,147,150,148,192,175,149,126,112,96,91,105,122,114,128,146,128,96,128,176,164,149,109,167,179,177,178,178,146,150,148,157,201,172,150,128,116,101,98,108,117,128,136,152,153,157,154,153,151,143,109,144,184,177,178,177,146,150,147,163,204,174,155,135,114,103,99,111,126,139,143,156,173,171,161,151,134,119,102,112,185,177,178,178,147,150,145,170,208,175,160,143,118,103,105,108,130,147,163,171,174,165,160,146,131,112,91,97,184,179,179,178,149,152,143,176,210,174,164,146,130,116,113,111,139,165,179,178,169,158,153,143,125,108,86,104,187,180,181,180,148,153,144,180,211,182,169,156,144,123,118,133,151,181,185,178,169,156,143,134,117,105,79,145,189,177,181,182,151,154,146,176,212,190,176,165,156,140,128,149,155,176,181,174,167,155,139,123,103,87,95,183,181,180,182,182,152,152,149,167,216,197,183,167,160,149,138,148,160,176,179,170,167,158,138,116,96,74,149,187,179,181,181,182,151,153,152,156,215,201,181,164,156,147,145,150,162,178,178,164,160,158,136,122,87,108,188,180,180,181,181,183,153,153,153,151,213,202,175,169,160,153,154,156,168,173,167,159,149,146,139,118,86,170,186,182,182,181,183,184,151,153,153,152,214,196,175,179,170,164,161,158,165,167,155,150,141,138,133,92,139,189,180,183,182,182,183,184,152,154,152,158,215,185,181,186,176,174,168,158,162,164,152,143,134,125,100,123,186,181,181,183,182,183,184,184,153,154,150,166,214,196,185,181,176,179,172,156,155,157,149,137,124,99,107,186,181,182,182,183,183,184,184,185,151,154,148,174,216,205,181,175,178,183,172,149,147,146,142,128,112,82,163,184,180,182,183,183,183,184,184,185,151,154,147,184,214,206,181,173,179,179,165,147,139,142,137,121,92,108,190,178,180,181,183,183,183,184,184,185,152,155,147,190,215,206,178,171,176,174,160,145,136,146,131,113,80,144,189,180,181,183,184,184,184,184,184,185
10,98,106,121,128,133,138,142,145,149,151,153,156,157,158,160,163,168,168,169,169,171,175,175,176,176,177,179,180,98,109,122,129,133,140,142,145,151,153,154,157,159,160,161,165,147,166,171,172,174,176,175,176,178,179,180,181,101,111,124,130,134,141,143,146,152,154,156,158,161,163,167,182,118,146,177,171,175,178,178,179,181,182,182,182,103,114,127,132,136,141,145,148,152,155,156,159,163,163,175,188,125,125,179,172,177,178,179,181,181,183,184,184,105,115,127,133,138,141,146,151,153,156,158,161,164,163,174,187,138,114,178,174,179,181,181,182,184,185,186,186,104,117,130,134,137,143,148,150,153,156,159,160,165,168,168,187,153,112,172,178,179,182,183,183,185,186,187,188,106,118,131,134,139,146,149,150,154,157,158,172,146,150,173,194,171,113,159,183,178,181,182,183,186,187,187,188,108,120,131,136,142,147,150,153,155,157,159,180,144,97,170,191,176,121,137,188,179,182,183,185,187,188,188,190,111,124,132,136,142,147,151,156,162,160,172,167,140,79,147,189,171,123,124,188,181,184,184,188,188,188,190,190,112,125,134,138,140,154,150,140,135,135,159,183,153,104,117,193,155,121,113,188,183,185,185,188,190,190,191,191,112,124,133,138,139,163,135,95,80,79,82,160,175,123,85,175,133,120,104,184,184,186,188,189,191,192,192,193,114,128,133,139,143,145,121,91,70,88,86,114,178,141,84,148,109,116,97,177,187,188,190,190,192,193,193,193,115,127,133,137,144,149,148,142,131,105,85,96,176,156,96,113,89,109,90,167,192,188,190,191,193,194,195,195,115,127,134,140,145,152,150,180,195,124,62,119,188,164,107,74,84,106,93,153,195,189,192,191,192,194,194,194,118,129,134,141,148,150,148,182,187,130,56,110,206,162,121,71,82,105,93,132,199,190,192,192,194,194,194,194,118,130,135,142,144,163,177,178,196,141,45,117,221,160,128,79,81,100,92,113,199,191,193,193,195,196,196,196,121,131,135,143,139,176,197,172,187,139,50,165,203,162,120,80,70,93,87,96,198,192,193,194,195,197,197,198,121,132,136,143,144,159,195,166,175,134,132,214,176,165,120,82,73,88,76,113,201,190,193,194,196,197,197,198,121,131,136,141,147,150,166,144,156,159,201,209,174,157,128,88,77,84,69,158,199,192,195,196,197,197,197,198,122,131,135,142,147,150,165,140,159,202,218,203,176,147,124,93,79,74,83,189,192,193,195,197,198,198,199,199,124,133,136,140,148,149,179,182,152,190,218,193,170,145,122,94,79,63,116,201,190,193,195,197,198,197,199,199,125,132,136,141,149,146,191,201,152,165,217,192,171,141,123,96,79,61,153,199,191,193,195,197,198,198,198,199,126,132,138,144,150,148,197,206,172,189,210,190,172,142,123,101,76,76,186,191,192,194,196,199,198,199,200,200,125,131,137,143,150,149,206,216,182,195,207,190,173,144,125,104,66,114,201,189,193,196,198,199,199,199,199,201,125,131,137,144,150,148,204,212,190,194,197,196,185,147,124,102,64,154,198,190,193,195,196,198,200,200,200,201,127,130,137,144,150,148,197,203,182,196,192,197,192,153,122,94,77,185,192,192,194,195,197,198,199,200,201,201,127,130,138,144,150,151,184,188,183,195,194,198,189,150,120,81,113,199,190,193,195,197,199,200,200,200,200,202,127,132,139,145,150,153,172,185,195,204,191,192,183,146,116,76,155,197,190,193,195,197,199,200,200,200,201,202
15,86,97,110,116,118,122,129,136,142,147,150,154,158,162,166,169,172,176,180,182,185,186,188,189,190,192,194,194,88,99,110,117,119,121,129,138,144,148,152,156,160,163,168,172,173,178,181,182,185,187,190,189,191,194,194,195,91,100,109,117,120,122,130,138,144,150,154,157,160,164,169,172,175,178,182,185,187,189,190,191,194,195,196,197,91,101,113,117,121,126,133,138,145,152,157,159,162,165,170,172,177,181,183,186,189,190,193,195,196,197,197,198,92,103,112,119,120,124,131,137,144,150,155,160,164,168,173,176,179,181,184,187,188,190,194,195,197,198,199,200,92,101,123,154,129,127,135,134,142,151,152,151,149,155,160,171,179,183,187,190,193,195,193,194,197,200,201,201,95,103,127,154,123,116,126,132,149,156,161,165,169,161,151,151,153,162,174,172,174,187,202,197,195,200,200,202,97,106,119,113,88,93,105,113,136,151,157,178,186,170,167,165,172,171,166,174,152,136,152,195,203,198,203,202,97,108,118,120,123,126,122,119,124,134,137,159,185,190,185,183,184,193,184,170,185,161,111,102,184,209,201,203,98,109,117,120,125,133,143,150,153,155,153,149,142,157,183,207,185,155,190,156,166,191,113,101,92,186,210,203,98,109,118,122,124,130,139,146,152,155,165,167,122,103,110,136,172,143,146,140,165,203,98,113,130,98,197,206,98,109,117,120,125,131,139,145,152,150,194,164,114,101,104,122,158,148,104,105,145,170,108,106,160,107,109,216,99,110,117,120,125,132,139,146,152,150,210,167,94,105,128,152,169,147,114,111,110,106,110,124,140,113,60,152,99,112,119,120,125,133,140,147,151,161,201,212,140,125,142,154,158,134,116,117,116,112,112,130,143,112,64,65,99,112,118,121,126,133,140,148,146,188,210,206,209,169,111,94,107,102,95,100,110,121,130,140,146,125,76,59,100,113,120,121,125,134,141,150,152,185,216,200,196,201,167,92,36,51,43,50,74,107,138,137,130,115,78,70,101,112,119,122,126,134,140,150,153,165,206,214,181,176,205,167,42,26,25,30,33,62,121,128,118,104,87,82,99,112,118,121,125,133,140,149,151,159,196,201,194,163,193,132,51,31,26,39,29,57,127,140,137,127,116,98,98,108,115,119,123,130,136,145,147,176,213,194,173,162,160,94,50,33,30,41,37,53,112,139,143,138,129,111,71,75,80,83,85,87,89,94,99,110,185,217,190,144,141,134,57,32,39,40,53,61,80,115,129,132,127,112,71,74,75,74,77,78,78,75,76,74,105,148,159,155,141,131,84,44,42,41,52,66,69,91,111,118,118,108,78,78,79,81,82,84,85,85,84,90,88,87,92,100,92,89,89,52,44,37,45,66,73,80,111,118,112,99,79,79,78,80,81,84,84,85,84,88,90,90,90,89,101,101,111,85,72,68,71,80,80,76,106,114,105,95,80,80,81,82,81,83,84,84,84,86,87,87,88,88,89,116,136,134,142,129,109,131,131,116,115,119,102,90,78,80,81,83,82,82,85,85,85,88,89,88,88,90,90,85,92,135,158,139,160,176,174,169,148,137,118,88,77,79,79,80,81,84,86,86,86,87,90,91,89,89,91,93,88,95,106,129,172,191,180,173,153,129,111,96,78,78,79,81,80,84,84,84,86,86,89,90,89,90,89,92,92,90,89,96,114,130,156,137,121,108,104,119,77,78,79,80,82,83,84,84,85,87,87,87,87,88,88,90,92,92,94,91,87,88,121,106,116,133,130,112
2,171,171,172,172,172,172,172,171,171,169,168,168,167,167,165,166,166,162,161,162,161,159,158,156,155,153,152,152,173,174,174,173,173,173,173,173,172,172,171,170,169,168,166,167,167,164,165,164,162,160,158,157,157,154,153,151,174,173,174,174,174,173,174,174,173,172,172,172,172,171,167,169,169,168,167,165,164,162,159,159,158,157,154,151,175,175,176,176,175,175,176,175,174,174,174,172,169,166,167,164,164,168,169,167,166,163,161,159,158,157,156,153,177,178,178,177,176,177,176,176,175,176,173,181,175,161,163,159,142,146,150,154,156,159,163,163,159,157,157,155,178,180,179,178,178,178,178,178,178,175,184,205,198,192,193,191,174,149,124,111,110,143,154,158,160,159,158,156,179,179,178,179,179,178,179,179,179,169,172,185,178,171,174,181,176,172,150,114,118,145,118,127,167,158,158,157,180,180,181,181,180,180,181,177,182,193,183,187,190,178,162,150,129,138,156,151,166,130,93,143,166,160,159,158,181,182,183,182,182,182,179,183,206,196,187,185,188,185,176,170,140,145,148,129,134,107,125,170,163,163,161,159,182,183,183,183,183,182,180,203,192,152,138,151,163,152,151,182,149,137,150,99,118,138,164,168,164,162,162,160,183,183,184,184,183,183,199,202,163,165,179,182,182,166,164,172,122,100,117,129,172,172,171,171,169,164,162,163,184,183,185,185,184,187,207,183,182,201,204,180,155,143,127,122,135,165,167,174,174,175,166,147,138,157,167,163,184,184,185,185,185,193,195,194,194,179,155,133,104,91,70,114,187,177,179,174,176,145,102,87,86,96,156,166,185,185,186,185,185,194,198,204,174,133,106,84,77,73,63,74,179,178,175,181,138,83,89,98,102,81,140,170,185,185,186,184,182,200,211,185,145,107,82,71,71,68,70,57,111,190,186,159,87,93,104,109,102,108,160,166,185,185,187,183,180,216,205,157,114,93,79,68,71,71,71,70,64,114,166,115,83,110,109,99,123,159,167,165,186,186,188,182,189,220,184,135,103,95,74,67,72,70,71,73,76,60,67,92,94,106,98,121,171,169,166,165,187,187,189,180,190,204,162,123,103,87,67,71,73,78,80,82,87,84,67,93,100,96,100,162,174,169,168,165,186,187,187,179,187,195,157,120,96,80,68,72,79,86,89,94,97,100,84,95,102,94,127,178,171,171,169,167,184,184,187,174,189,197,157,121,96,84,69,73,83,94,99,103,107,111,98,90,104,93,153,177,171,171,169,166,185,185,189,167,190,191,153,124,103,91,76,74,87,101,111,114,116,115,106,93,97,135,173,172,171,169,164,165,186,186,191,169,189,184,149,125,104,96,86,75,91,107,113,115,119,113,101,99,145,175,174,173,169,169,187,202,185,186,190,169,183,182,153,128,110,103,93,77,91,107,112,113,112,109,93,133,182,174,174,172,189,192,221,222,185,186,190,169,181,178,148,127,115,107,94,80,95,102,105,106,104,95,114,170,177,175,170,211,240,209,198,225,189,190,193,174,178,175,144,128,113,104,95,86,98,97,99,100,95,117,170,182,182,172,201,237,225,237,201,199,161,161,165,154,176,173,144,126,109,103,98,94,97,97,95,98,119,158,166,165,155,196,232,233,222,214,231,187,94,96,93,107,188,168,140,118,107,104,102,97,91,97,100,88,91,91,93,80,151,238,230,233,217,201,221,218,95,99,91,136,188,162,139,114,106,104,102,98,90,97,96,88,88,90,80,127,239,229,230,236,210,191,215,217
15,85,90,92,93,98,99,104,118,128,137,145,149,156,159,161,164,167,171,174,179,181,182,185,187,190,191,192,193,84,88,87,86,92,96,105,118,128,137,145,151,157,159,162,164,169,173,175,179,182,184,187,191,193,191,192,193,88,80,119,156,110,95,101,117,130,139,145,153,158,160,161,164,169,173,175,180,183,184,187,191,192,190,192,194,90,70,161,203,175,149,130,120,127,132,146,156,160,162,161,164,169,174,177,180,185,187,188,189,191,191,195,196,88,80,113,175,163,160,168,156,152,136,134,136,145,151,158,166,173,178,180,181,183,187,188,190,193,193,196,198,86,90,84,111,123,117,141,153,158,164,154,142,140,138,142,144,145,155,165,177,188,186,189,190,194,196,197,199,86,87,91,92,96,100,115,120,120,152,156,153,146,147,157,161,144,124,115,104,169,194,190,195,196,196,197,200,86,89,92,95,95,98,109,116,109,126,137,135,130,125,154,172,173,144,132,96,86,180,196,193,196,198,200,202,86,87,90,93,95,97,110,124,130,137,137,136,128,122,163,167,172,153,153,130,97,104,191,196,196,200,201,203,85,87,88,92,95,97,111,122,129,141,151,154,146,165,184,168,163,176,162,152,134,93,109,197,197,201,203,204,84,86,88,91,94,100,109,120,139,141,146,155,166,196,188,139,162,180,156,176,152,118,76,120,204,197,202,203,84,86,87,91,96,96,114,169,150,152,147,135,173,171,139,115,146,173,148,191,163,122,98,68,149,208,201,204,85,86,88,92,95,92,127,180,168,183,187,155,120,130,102,63,135,151,148,190,165,127,103,84,76,170,209,206,85,86,90,93,94,95,112,138,148,188,199,159,130,144,136,109,129,138,157,165,156,129,107,87,79,80,180,210,84,85,87,89,92,97,108,123,143,163,160,137,150,156,144,151,152,144,118,110,130,118,103,84,81,67,97,198,84,84,84,86,89,95,109,122,131,140,131,120,146,157,152,159,168,151,111,83,98,100,94,92,83,81,68,113,82,85,84,86,89,93,108,121,129,137,203,135,101,114,151,159,161,145,104,85,92,91,91,95,90,84,82,68,79,80,82,87,87,92,106,120,130,134,216,165,94,34,76,136,152,138,104,91,94,91,93,98,93,88,84,76,79,80,81,85,85,92,108,119,130,134,197,156,82,58,49,70,131,105,89,90,96,98,96,98,94,91,87,79,78,80,82,83,84,92,107,119,132,134,197,154,71,108,70,66,108,122,100,97,103,106,102,96,93,91,88,85,77,78,80,82,83,90,104,116,129,131,187,150,66,157,79,129,90,134,129,119,110,101,98,94,89,87,85,87,76,77,78,81,82,88,102,115,130,123,205,148,54,169,136,95,157,122,109,95,97,94,93,93,92,92,91,87,75,74,72,76,74,83,99,112,125,125,197,128,59,157,180,60,168,153,87,116,77,74,79,77,78,83,87,91,129,124,122,125,125,128,130,133,138,138,151,86,103,167,142,91,164,170,160,177,111,62,63,62,63,67,76,85,101,100,101,104,109,107,103,101,97,96,99,85,102,108,104,102,111,110,112,111,110,81,68,78,86,91,94,96,99,100,99,100,98,98,99,97,91,94,98,103,101,98,100,102,99,99,99,98,100,100,100,109,102,111,109,115,103,101,102,105,102,102,103,103,102,102,106,104,103,106,109,106,104,105,106,106,108,109,103,138,122,122,115,126,106,103,102,103,103,104,106,106,107,107,106,103,103,105,106,106,106,106,105,104,105,109,97,139,159,138,136,137
7,131,139,151,171,180,187,192,194,195,199,201,202,203,203,205,205,206,205,205,203,202,202,201,200,198,197,195,193,131,140,153,173,182,188,193,195,197,200,202,204,205,205,207,207,207,207,207,205,204,204,203,201,200,199,197,195,132,141,154,173,183,189,194,196,199,201,203,205,206,207,208,208,209,209,208,207,207,205,204,203,201,201,199,197,134,142,155,174,183,190,195,197,199,202,205,206,207,209,209,211,210,210,210,208,208,207,205,204,203,203,201,199,135,143,156,175,184,191,196,199,200,203,206,207,208,209,209,211,211,211,210,209,208,208,207,206,205,204,202,201,136,143,157,176,184,191,197,199,201,204,207,208,209,210,210,212,214,214,214,214,214,212,211,208,206,205,203,201,137,144,157,177,185,193,197,199,201,204,208,210,212,214,213,213,211,209,205,196,195,196,204,211,208,206,205,203,137,145,158,177,186,193,198,203,203,204,204,203,196,190,183,166,167,170,163,156,190,193,172,215,209,208,207,205,138,145,160,178,186,193,197,187,179,175,177,176,164,158,154,141,151,144,145,148,157,153,165,206,212,209,206,205,139,145,161,178,184,199,189,159,160,166,165,163,158,151,151,150,146,152,152,148,143,137,149,166,178,212,207,206,139,147,160,179,196,199,179,150,140,141,146,154,163,167,168,154,138,160,156,143,139,130,139,153,148,210,209,207,140,143,168,196,195,185,178,167,162,164,174,175,170,165,158,139,129,135,129,123,125,127,132,147,184,214,208,208,134,161,198,195,188,189,177,162,158,162,167,158,154,148,131,125,139,157,174,188,200,206,212,216,217,213,210,208,162,204,199,192,192,181,163,132,133,143,134,122,117,125,177,205,215,225,226,225,223,220,219,216,215,214,211,209,205,203,195,194,177,165,151,124,124,117,103,98,103,106,112,172,228,217,218,218,219,218,218,217,216,214,212,210,197,197,198,184,169,161,154,147,128,113,115,118,115,112,96,127,227,219,221,221,220,220,219,218,217,214,214,211,196,198,185,167,160,157,166,170,137,115,118,117,115,114,108,112,213,224,221,221,221,220,220,219,217,214,213,211,196,182,163,154,153,151,154,147,119,107,99,103,110,113,103,103,204,226,221,222,221,220,220,219,217,215,213,212,177,162,157,156,153,142,135,126,115,104,104,119,124,114,113,203,224,222,222,222,220,220,219,219,218,216,214,212,160,159,155,148,139,129,124,132,132,119,116,113,110,113,179,226,219,220,221,220,219,219,218,217,215,214,213,210,159,151,140,135,132,131,136,145,133,109,116,147,176,208,223,218,220,221,219,219,219,219,218,217,215,214,212,209,153,146,142,142,138,131,127,121,110,139,197,220,222,220,218,219,219,220,219,219,219,218,217,217,215,213,210,206,127,125,130,127,121,119,120,143,179,209,214,212,213,217,218,219,219,219,220,220,219,219,218,217,215,214,212,212,105,101,78,104,176,176,194,208,212,208,211,215,216,217,218,219,220,218,219,217,216,215,213,211,211,211,208,171,106,100,56,106,188,172,172,167,166,166,166,164,163,163,164,164,160,158,158,156,154,151,148,149,137,120,106,79,98,77,55,109,143,136,138,139,139,140,139,139,140,139,140,138,138,139,137,135,135,134,135,122,87,69,66,63,56,52,62,124,150,146,145,145,145,145,145,145,145,145,145,144,144,145,144,141,141,133,103,76,69,68,64,58,65,80,86,113,147,144,144,144,145,145,145,145,145,144,144,144,141,140,140,140,121,90,64,65,63,61,61,57
1,92,95,82,69,65,61,60,34,54,81,97,112,135,118,105,125,129,136,141,144,147,150,152,154,156,157,159,160,94,97,82,70,65,64,60,35,58,84,104,116,136,124,102,122,115,126,142,145,148,151,153,156,157,158,160,161,97,98,81,72,65,67,57,36,62,88,122,122,126,132,109,129,112,111,140,147,150,152,154,157,158,159,161,162,99,98,80,74,67,70,53,38,66,92,133,128,120,137,117,134,122,104,136,148,151,153,156,158,159,161,162,163,102,97,80,76,68,72,49,41,71,95,137,133,122,148,129,133,131,105,131,150,152,155,157,159,161,163,164,165,104,97,81,78,70,74,46,45,77,99,138,139,126,155,136,134,145,113,125,151,155,157,159,161,163,165,166,167,107,97,84,81,72,76,43,51,98,113,139,149,129,152,138,136,155,123,118,150,157,159,161,164,166,168,168,168,109,97,86,82,74,76,41,60,120,122,136,151,128,146,140,133,154,129,114,148,158,160,163,166,168,169,169,170,110,97,88,82,77,75,40,66,127,122,133,150,126,145,146,130,153,135,113,147,160,162,165,168,169,171,171,172,111,96,90,82,80,73,39,71,132,125,131,153,126,142,151,129,154,141,114,144,161,164,167,169,171,172,173,173,111,96,92,82,83,69,39,74,138,135,130,156,128,129,147,124,148,142,112,140,163,166,168,170,172,174,174,174,109,97,94,83,87,65,41,76,137,137,123,153,130,117,140,121,140,142,110,134,163,167,169,172,174,175,175,175,108,97,95,82,89,60,43,77,132,139,117,145,137,128,138,138,145,129,101,123,162,168,170,173,175,176,176,176,107,98,95,83,90,55,45,78,132,146,119,138,147,137,133,148,146,111,87,111,160,170,172,174,175,177,178,179,106,100,95,83,90,51,49,81,132,147,132,143,147,144,144,162,154,114,83,97,153,170,173,175,176,177,179,180,106,101,95,83,89,46,51,83,136,155,149,140,139,142,148,158,155,130,94,87,144,171,174,176,177,178,179,181,105,103,95,86,89,43,54,87,145,164,148,131,128,134,140,146,155,151,118,90,133,170,174,176,177,178,180,181,104,105,96,90,87,40,56,90,149,162,139,123,126,135,148,161,167,167,142,104,121,167,175,177,178,179,180,181,104,107,95,93,84,39,59,89,143,159,135,120,128,138,157,177,175,171,152,114,112,163,175,177,178,180,180,181,106,108,94,95,79,38,62,87,131,159,140,124,128,142,162,181,180,166,146,112,110,162,175,177,179,180,181,182,107,108,93,97,74,38,64,86,118,155,147,129,127,145,164,182,181,162,137,104,111,164,175,177,179,181,182,182,108,109,93,100,70,39,66,86,108,147,154,137,128,141,161,179,177,157,132,100,113,165,175,177,179,181,182,182,111,111,93,103,66,40,68,86,102,136,156,145,134,136,155,174,169,150,128,98,113,166,176,178,180,181,182,182,114,113,95,107,62,41,69,85,98,121,149,151,143,137,149,166,161,143,122,95,117,167,176,178,180,181,181,182,118,114,97,108,57,42,68,84,95,110,135,151,149,142,141,151,152,136,117,95,126,168,174,176,178,178,180,180,120,113,98,108,52,43,67,82,93,105,121,147,151,143,133,135,139,126,111,99,139,169,173,174,176,177,178,179,122,112,100,107,47,43,66,79,90,102,113,140,149,138,128,127,126,119,107,100,146,168,170,173,175,176,178,178,123,110,101,105,45,45,64,74,85,97,108,134,145,133,128,129,125,117,103,98,147,166,168,171,173,175,176,176
7,105,111,116,116,119,124,128,131,133,134,136,137,138,140,142,143,143,144,144,144,144,144,144,143,142,143,142,141,105,112,116,116,120,124,128,131,133,135,137,138,140,142,142,143,144,146,145,146,146,146,147,145,144,144,143,142,107,112,116,117,121,125,129,131,134,136,138,139,141,142,143,144,146,146,147,147,147,146,147,146,146,146,144,143,107,113,115,117,121,126,129,132,135,137,138,140,141,144,145,146,146,147,148,147,147,148,148,147,147,147,146,145,108,114,116,118,122,126,130,132,135,138,139,141,143,145,146,146,147,148,148,148,149,148,148,148,148,148,147,146,110,115,118,120,123,127,130,133,136,137,140,142,144,146,147,148,148,149,149,149,149,149,149,149,149,148,148,146,111,116,120,121,124,128,132,134,137,139,143,143,145,147,148,150,150,151,151,151,151,150,150,150,150,149,149,147,111,116,119,121,126,128,130,136,136,139,141,142,142,147,148,148,150,151,151,152,153,151,150,150,151,150,150,148,110,117,121,121,122,132,150,151,142,144,152,152,151,149,142,139,146,142,144,144,147,152,154,153,152,151,151,150,112,118,117,123,145,162,165,157,140,134,146,154,158,154,140,141,156,145,136,129,118,138,144,152,153,152,151,152,109,117,138,160,165,162,164,156,134,128,135,144,148,147,130,129,143,135,129,124,117,128,117,153,157,154,153,153,130,157,166,164,162,163,163,146,130,129,140,157,160,163,149,146,142,136,146,139,127,123,127,136,143,155,154,153,168,168,164,169,164,164,167,155,113,104,109,127,131,134,137,141,140,141,146,149,141,138,140,127,137,135,152,154,169,169,169,169,166,170,174,150,103,88,95,85,73,89,105,113,116,118,118,121,123,123,125,120,130,122,153,156,172,170,168,170,169,170,167,124,93,90,91,92,75,58,71,145,147,150,148,145,141,136,136,134,133,147,156,154,169,168,166,168,167,169,159,118,83,85,99,100,97,81,79,157,157,157,158,160,160,160,160,159,158,156,155,155,173,171,170,172,173,178,163,110,82,72,66,96,112,93,74,136,160,156,157,157,157,156,155,155,155,155,155,154,170,170,167,162,164,164,134,104,84,84,62,70,95,95,91,144,159,156,157,158,158,158,158,158,156,157,156,156,161,159,150,144,149,138,115,102,95,86,82,75,100,121,139,156,156,157,158,158,159,159,159,159,157,157,157,157,149,142,138,135,137,120,98,94,90,92,80,79,144,158,156,155,156,158,158,159,159,160,159,158,158,159,157,156,129,129,122,111,103,102,115,122,106,104,105,122,153,152,154,156,158,158,158,159,158,159,159,159,158,158,158,157,105,103,96,97,110,128,139,144,146,145,149,152,152,153,155,156,157,158,158,158,158,158,159,158,157,156,157,156,86,81,82,99,106,103,102,103,103,103,103,103,103,105,106,105,105,107,107,105,104,103,103,102,101,100,100,98,69,82,87,84,87,85,84,82,82,83,82,83,84,84,83,81,80,81,82,83,84,83,83,82,79,79,79,78,82,86,90,90,91,92,91,90,91,92,92,91,91,91,90,93,93,90,89,89,89,89,88,87,84,86,86,79,84,86,90,91,91,91,90,88,90,90,90,89,89,88,88,93,94,92,93,89,87,86,86,86,86,84,79,108,84,83,91,91,91,91,90,90,91,91,90,90,91,90,89,89,88,88,90,87,87,86,86,87,83,91,135,155,83,78,88,93,92,93,92,91,92,93,92,92,92,92,92,90,89,88,89,88,89,87,85,84,87,151,146,130
8,168,170,170,172,172,172,172,172,173,172,171,171,170,170,169,167,166,165,165,164,162,161,160,158,155,155,153,152,170,172,173,173,173,168,156,173,175,174,173,172,172,171,170,169,168,166,166,166,165,163,161,160,157,155,154,153,172,173,174,175,176,161,108,158,177,177,176,174,173,172,171,170,169,167,167,166,166,164,162,160,158,156,155,156,173,175,176,176,177,143,99,143,179,178,177,176,175,175,173,172,172,171,169,168,167,166,164,163,160,157,157,157,174,176,178,178,178,141,90,146,181,180,179,177,176,176,175,174,174,173,171,171,168,167,166,165,162,158,159,158,176,177,178,180,178,139,83,157,181,181,180,179,180,178,177,176,174,171,171,172,167,166,167,166,164,161,161,159,178,179,181,181,179,141,82,154,183,182,180,171,176,179,177,177,170,137,117,143,147,141,168,167,166,164,163,161,180,181,182,182,183,152,93,144,185,183,162,129,118,168,147,127,139,136,108,82,128,108,169,168,166,165,164,162,181,181,182,184,183,151,92,130,186,177,159,139,113,119,132,105,92,141,117,78,91,98,156,170,168,167,165,164,181,183,184,185,184,155,110,111,186,173,165,153,121,97,133,112,93,141,111,77,67,93,106,167,169,167,166,165,182,184,186,187,186,175,140,108,175,168,160,162,125,89,127,120,90,127,102,73,57,95,88,126,171,169,167,166,183,185,185,186,187,182,150,116,147,149,139,160,126,92,108,121,86,112,130,90,57,98,88,102,172,170,169,167,183,185,186,187,188,186,158,148,139,140,119,148,125,89,84,119,91,100,136,94,70,108,83,126,173,171,170,168,186,186,187,189,190,190,182,161,133,119,116,130,126,94,74,101,80,52,91,68,88,111,77,153,173,172,171,169,187,187,188,189,190,190,187,152,120,97,96,108,140,125,74,60,58,66,63,96,124,108,81,170,175,173,172,170,188,187,189,190,192,191,184,152,126,99,87,88,145,133,90,63,102,134,133,125,129,94,96,177,175,173,171,170,187,188,191,191,193,192,190,167,137,103,87,86,124,119,92,96,142,146,144,117,101,75,122,178,177,174,172,171,187,189,192,192,193,193,190,173,142,111,93,88,116,135,137,153,162,143,134,106,80,69,161,179,177,175,173,172,187,189,191,192,194,194,189,177,149,122,99,91,121,163,174,172,160,136,123,95,63,113,180,180,178,176,174,173,188,189,192,193,195,195,186,175,154,126,101,102,135,172,172,166,148,126,110,84,70,170,182,180,178,177,175,174,189,191,192,193,195,194,183,171,160,130,108,111,145,167,168,160,137,119,97,68,126,183,183,180,179,178,176,174,190,192,192,194,196,196,185,176,165,136,117,112,150,161,164,151,125,107,84,76,176,186,183,181,180,179,177,175,191,192,194,196,197,197,192,180,170,143,122,111,145,152,151,135,112,91,65,134,187,186,184,182,181,180,178,176,190,192,195,196,196,198,195,186,169,144,123,114,135,143,135,118,94,72,85,182,188,188,185,183,182,180,178,175,192,193,195,195,196,198,196,184,164,143,127,120,126,136,125,105,83,67,164,189,188,187,184,184,181,180,179,177,193,194,195,195,196,198,195,185,166,150,140,134,125,131,116,95,68,133,191,191,188,187,185,184,181,180,179,178,192,193,196,197,197,196,193,188,170,162,146,139,128,125,103,81,84,186,192,192,190,188,186,184,181,181,179,177,192,194,197,197,198,192,186,190,174,167,146,140,127,110,92,70,132,194,193,192,190,187,187,185,183,182,180,178
13,167,169,173,180,186,189,192,193,196,199,203,205,206,208,210,211,212,213,212,214,215,213,214,213,214,215,214,213,169,171,175,181,187,190,193,194,197,200,203,206,207,210,212,212,213,214,214,216,216,215,215,215,217,217,217,215,171,173,177,183,190,192,194,196,199,202,204,207,209,212,213,214,214,216,216,215,216,216,218,217,218,218,218,217,173,175,180,185,191,194,197,199,201,204,206,208,211,213,214,212,215,211,215,223,223,220,218,219,220,219,218,218,175,176,181,187,191,195,198,201,204,206,208,210,213,214,220,240,238,200,162,196,209,219,225,220,221,221,220,220,176,178,183,189,193,197,200,203,205,207,211,211,214,213,214,232,242,199,145,123,163,165,201,226,221,222,222,222,175,179,185,189,194,198,201,203,206,211,212,217,226,186,169,180,229,203,151,119,175,153,133,226,224,223,222,222,177,180,186,190,196,199,201,206,208,212,203,236,250,217,181,140,193,232,178,122,180,151,132,225,225,224,224,223,177,180,188,192,197,200,203,206,209,225,180,164,239,244,207,146,126,229,183,123,186,162,142,231,224,226,225,225,179,183,188,193,198,201,204,205,235,241,197,143,163,255,221,168,100,143,166,113,212,168,173,234,225,227,226,225,181,184,189,195,199,203,202,231,233,239,223,175,112,224,215,161,105,86,113,114,188,146,192,237,226,228,227,226,181,185,192,197,201,201,218,238,190,217,230,186,108,181,208,150,104,82,122,159,171,147,148,233,230,229,229,228,183,187,195,199,202,204,243,237,197,198,210,166,110,152,206,169,101,113,182,189,164,149,134,194,239,228,231,229,186,190,196,201,202,216,237,212,177,180,194,146,98,126,218,181,107,185,216,193,160,135,140,150,237,230,231,231,187,192,199,205,204,227,247,219,185,161,177,147,95,89,203,166,154,230,212,187,159,139,128,145,238,232,232,232,188,194,202,208,206,231,251,223,199,153,149,140,97,130,210,210,227,221,199,172,154,135,110,187,243,232,235,234,189,196,204,210,208,238,255,232,205,167,143,146,173,215,238,241,234,211,187,163,147,124,124,231,236,235,235,234,190,198,206,212,210,243,255,241,205,184,192,186,199,220,235,231,225,202,177,160,139,108,158,247,233,236,236,236,194,202,210,215,214,245,252,249,215,201,203,179,212,223,231,232,213,190,170,151,132,100,197,246,236,237,237,237,198,206,213,219,219,236,247,253,228,213,205,188,216,234,222,218,196,176,158,144,114,129,244,240,240,239,239,239,200,208,216,221,223,226,248,248,236,218,204,193,208,229,219,198,183,165,154,134,116,222,248,241,242,241,240,240,203,210,217,222,227,224,241,241,237,225,215,203,200,220,215,191,172,155,148,116,199,255,242,244,243,243,240,240,205,213,219,223,228,226,231,246,239,234,229,212,198,212,208,182,154,151,124,164,255,244,246,247,244,242,249,249,207,215,222,227,231,229,225,247,233,228,223,205,192,201,193,171,143,140,131,238,250,247,248,247,246,252,220,168,208,217,225,230,232,232,228,241,210,210,217,207,194,195,183,166,149,120,187,255,248,250,248,250,255,187,107,86,210,218,226,230,234,234,229,248,217,220,227,220,197,185,178,167,149,118,222,253,252,251,255,255,178,100,100,79,210,220,225,229,233,235,225,252,228,231,237,220,202,181,177,166,147,121,237,253,252,255,212,141,94,101,110,80,211,221,227,231,233,238,227,248,245,246,244,222,205,184,175,167,143,123,241,251,255,212,111,93,81,91,109,96
19,143,145,148,150,151,154,155,156,157,158,158,158,159,160,161,161,161,162,162,161,162,161,162,162,161,160,161,159,145,147,151,154,155,157,159,160,160,161,160,161,162,164,165,165,164,164,164,165,165,164,165,165,164,164,164,162,149,151,155,158,160,161,162,164,164,165,165,165,165,165,167,167,167,168,168,168,168,167,167,167,166,167,166,165,153,155,159,162,163,164,165,166,167,168,168,171,164,134,143,171,170,171,172,172,172,171,171,171,170,170,169,167,156,158,162,164,166,167,167,169,170,171,171,180,169,132,100,172,174,175,174,174,174,173,174,175,174,174,173,172,158,161,164,167,169,171,171,172,173,173,175,185,174,136,86,163,178,178,179,178,177,177,177,177,177,177,176,175,161,165,167,170,172,174,174,176,177,178,179,185,175,137,91,146,157,161,175,177,177,180,180,180,180,180,179,178,165,168,170,172,174,175,177,178,181,182,182,183,169,155,158,165,148,121,140,143,140,148,153,173,173,179,181,179,167,170,173,175,177,179,180,181,178,175,175,174,174,173,167,157,140,113,125,143,143,141,131,149,141,167,184,183,170,173,175,178,180,181,182,177,154,153,158,160,160,157,153,155,145,112,97,115,122,118,114,117,141,181,186,185,172,175,177,180,182,184,186,167,146,142,141,147,151,155,153,153,143,104,155,176,176,169,172,177,187,189,188,187,173,177,179,182,184,185,190,165,160,144,132,133,139,143,140,136,131,108,163,194,193,193,194,193,193,193,190,189,176,179,181,184,187,187,188,186,181,150,126,128,133,142,148,142,131,114,129,197,195,195,195,196,195,194,193,192,178,181,183,186,188,189,186,190,190,166,140,117,118,127,132,123,114,100,133,197,196,197,196,197,196,195,195,194,179,182,185,188,189,191,187,183,190,191,154,125,121,127,128,115,103,90,161,200,201,201,200,199,199,197,196,195,180,183,187,190,192,192,187,190,190,179,144,131,127,123,114,99,89,85,180,202,204,202,200,201,200,199,198,199,183,185,189,192,194,193,189,195,190,171,145,129,131,109,82,61,74,101,197,202,204,204,202,202,202,200,200,199,184,187,191,193,196,194,190,195,186,162,135,134,149,97,59,48,76,142,203,203,204,205,204,203,202,202,200,201,186,189,193,195,198,198,188,192,183,156,133,146,137,84,51,59,114,194,204,204,205,205,206,205,204,203,202,202,188,191,195,197,199,200,187,187,178,150,137,154,127,85,63,63,161,205,206,207,207,206,207,206,205,205,204,203,189,192,195,198,200,200,183,177,171,153,156,159,121,83,73,74,186,208,208,209,208,208,208,208,207,207,206,206,190,193,196,198,200,201,181,174,172,163,164,150,110,80,75,100,206,208,210,210,210,209,209,209,208,208,207,207,191,194,196,199,200,201,175,176,174,163,156,133,99,78,79,149,211,209,210,210,211,211,210,210,209,209,209,208,193,195,198,201,202,201,173,178,168,151,140,114,91,80,95,197,211,211,211,212,213,212,212,212,212,211,211,210,194,196,198,201,204,201,174,179,165,144,123,95,86,83,144,213,213,213,213,214,213,214,213,213,213,213,213,211,195,198,199,202,205,201,177,192,172,142,113,87,79,76,173,213,214,214,214,215,215,214,214,213,213,214,214,212,195,198,200,202,205,194,181,189,161,132,103,84,75,92,204,214,214,214,215,216,216,215,215,214,214,213,214,213,193,195,200,203,205,185,185,178,140,117,98,86,71,130,215,214,214,214,215,215,215,215,215,214,214,215,215,214
3,153,154,154,154,155,154,154,156,154,154,153,152,151,151,151,150,149,147,145,143,142,140,139,138,136,135,134,132,154,155,156,156,156,156,156,157,155,154,155,153,152,152,151,150,142,145,146,144,143,141,139,138,137,135,134,132,156,156,157,157,157,157,157,157,157,156,155,154,153,152,151,159,112,128,148,145,144,142,141,139,138,136,136,134,158,158,158,159,158,158,158,158,158,157,157,156,155,153,158,153,93,128,150,146,145,144,143,141,139,138,137,136,160,160,161,162,160,160,160,160,160,159,158,158,157,155,169,130,91,143,151,148,146,145,144,143,142,139,137,136,163,163,163,164,163,163,162,162,161,161,159,159,158,165,168,105,110,152,152,152,150,148,146,145,143,141,139,138,164,164,165,166,165,165,165,165,164,162,162,161,160,180,153,93,131,158,155,154,152,151,148,146,145,143,141,140,165,166,167,168,167,167,167,166,166,164,164,163,174,173,126,92,148,160,158,157,154,152,150,149,147,145,143,142,168,170,170,170,170,170,169,169,168,167,167,166,179,156,101,113,152,151,156,157,157,154,152,150,149,148,147,144,170,172,172,173,173,172,173,172,171,170,169,168,176,162,130,136,152,149,153,149,144,150,154,152,152,151,149,147,172,173,174,175,174,173,174,173,173,172,171,171,180,181,163,142,140,139,143,151,138,114,145,154,147,145,151,150,174,174,175,175,175,176,175,175,174,174,173,174,193,175,154,150,141,124,116,108,122,114,108,125,130,113,144,153,177,177,176,177,177,178,178,176,176,176,174,184,197,174,153,138,127,111,90,88,76,113,116,99,105,107,147,154,179,179,179,179,179,179,179,178,178,177,182,201,186,144,103,93,118,112,97,87,74,78,99,87,85,139,156,155,180,181,181,181,180,181,180,180,179,181,199,200,153,106,72,63,126,153,117,96,81,75,66,75,109,158,157,156,182,182,183,182,182,182,182,182,179,192,209,179,119,83,64,58,89,165,168,150,106,75,77,82,127,162,159,157,182,183,184,184,184,184,184,184,176,201,205,162,112,83,61,53,54,100,160,177,120,76,87,89,146,163,160,158,185,186,185,185,186,185,185,185,175,195,193,162,112,74,57,51,53,56,84,119,83,88,95,100,158,165,161,160,186,186,186,187,186,186,187,187,178,189,198,170,122,82,59,56,61,69,73,75,74,95,97,109,164,165,162,160,187,188,188,189,188,188,188,188,178,187,205,174,134,96,68,62,71,80,90,99,94,96,97,120,168,166,164,162,188,189,190,190,190,190,189,189,178,184,210,181,140,105,82,65,76,91,107,114,106,93,91,133,171,167,166,165,189,190,191,191,190,191,190,191,179,180,212,184,146,117,96,70,78,103,117,117,108,92,106,160,171,168,167,166,190,190,191,192,193,193,193,192,181,175,206,182,151,121,100,77,80,104,112,109,101,99,152,175,172,170,168,166,191,191,193,193,193,192,193,193,183,174,204,185,155,123,99,83,83,99,106,102,94,117,172,176,173,171,170,168,192,193,193,194,195,194,194,195,187,173,198,184,155,123,101,91,86,96,101,98,100,151,178,176,174,173,171,169,193,193,194,194,195,195,195,195,189,180,197,177,150,123,107,98,88,93,97,101,139,177,179,177,175,173,171,170,193,194,194,194,194,194,195,195,190,180,200,177,153,129,112,100,93,94,101,136,178,181,180,178,176,174,172,170,194,195,195,195,195,196,196,196,188,178,194,171,150,129,107,98,97,96,119,174,185,182,181,180,178,176,173,171
21,172,173,176,179,182,183,183,184,186,187,188,187,187,187,187,188,188,187,187,186,186,186,185,184,183,182,181,180,174,175,178,180,182,184,185,186,187,188,191,188,185,188,190,190,189,188,188,188,188,187,186,186,185,183,182,182,175,177,179,181,184,185,187,188,188,192,206,192,174,186,192,192,192,191,191,190,190,189,188,188,187,186,185,184,178,179,182,184,186,187,188,190,191,195,216,204,165,177,193,194,193,193,193,193,193,192,191,190,189,188,187,186,180,181,184,186,188,189,190,192,193,194,209,216,173,167,191,195,195,196,196,195,194,195,192,181,188,190,189,188,181,183,185,188,190,192,193,194,195,195,202,222,199,170,184,196,197,198,198,197,197,203,188,157,181,192,192,191,183,184,187,190,192,194,194,195,196,197,200,223,220,178,175,196,200,199,199,199,201,211,181,149,182,194,194,193,184,186,189,192,195,196,196,198,198,199,201,218,227,185,166,193,201,200,201,201,210,213,172,158,191,196,196,195,185,187,191,193,196,197,198,199,200,200,202,214,228,195,164,186,202,202,202,205,218,206,163,172,197,198,197,196,187,189,192,194,197,198,199,200,201,202,207,222,226,203,162,174,201,205,204,211,217,188,156,184,200,200,200,198,189,191,194,196,198,200,201,201,202,204,217,236,228,204,163,154,191,205,208,220,211,170,161,196,202,201,201,199,191,193,195,198,200,201,202,203,206,219,222,226,229,210,183,164,176,198,211,220,200,161,180,203,204,203,202,201,192,194,197,200,201,202,204,206,214,232,224,213,222,216,212,199,170,168,191,198,174,160,196,206,206,204,203,201,194,196,199,201,202,204,206,207,217,224,215,197,175,177,211,212,171,139,154,161,147,171,205,208,207,206,204,203,195,198,201,202,205,207,208,208,220,216,184,159,129,128,177,214,184,139,129,133,138,187,209,209,208,207,206,205,197,199,202,204,206,208,209,210,223,214,183,164,139,128,155,214,205,155,120,117,143,199,211,210,209,208,207,206,198,200,203,205,207,209,210,213,230,229,202,174,149,146,158,213,223,174,126,112,152,206,213,212,211,210,209,208,200,201,204,206,208,210,211,216,237,230,194,167,155,164,179,225,233,191,140,114,157,209,214,213,212,211,210,210,201,203,205,207,209,211,213,218,238,225,191,174,174,183,204,240,236,198,152,121,159,211,215,214,213,213,212,211,202,204,206,208,210,212,214,220,240,233,205,190,190,199,226,249,233,196,155,123,161,212,216,216,215,214,213,213,201,204,207,208,210,212,214,219,241,239,215,197,201,213,239,251,231,192,156,126,163,214,217,217,216,215,215,214,202,205,207,208,210,212,215,218,240,244,222,204,206,224,247,249,228,190,154,127,167,215,217,217,216,215,215,214,203,205,207,209,211,214,215,218,238,246,227,214,213,231,250,243,222,186,150,126,170,216,218,217,217,216,215,214,204,206,208,210,213,215,217,219,236,248,235,229,224,235,248,237,215,182,145,122,170,218,220,219,219,218,217,215,204,206,208,212,214,216,218,219,230,247,242,238,231,231,239,224,205,177,138,119,171,220,221,221,220,220,216,205,204,207,210,213,216,218,220,220,225,243,246,240,228,220,223,208,194,172,132,117,178,222,223,223,222,215,197,160,203,206,209,213,215,217,219,220,221,236,246,235,213,200,204,198,188,170,127,121,193,224,224,222,206,173,139,112,190,194,198,201,204,206,209,211,206,218,240,226,198,182,190,195,183,163,119,129,206,224,224,210,164,125,106,96
13,197,199,202,203,204,207,209,210,211,214,213,212,213,213,213,214,213,214,214,213,211,211,212,210,210,210,209,208,198,199,203,205,206,209,209,213,213,213,215,215,214,215,214,215,215,214,215,214,212,213,213,212,210,209,210,210,199,202,205,206,208,210,212,214,215,214,216,215,215,216,216,217,215,215,216,215,213,214,214,213,212,212,212,212,201,204,207,208,209,211,214,216,216,216,216,218,219,217,220,219,218,216,214,215,219,217,214,213,215,215,214,213,202,204,207,209,211,213,214,216,216,217,219,219,220,221,216,218,215,219,229,201,164,204,220,218,218,214,215,215,203,205,208,211,212,214,215,216,218,219,220,220,218,208,231,232,181,183,251,204,132,141,216,191,206,219,216,216,205,208,210,213,213,214,216,217,220,221,218,227,225,170,192,247,188,158,242,202,140,97,187,160,130,219,218,217,206,208,210,213,214,215,217,219,221,220,221,255,236,193,138,232,199,152,237,191,133,104,191,174,102,191,226,217,207,209,211,213,216,218,219,221,225,219,239,255,247,206,137,211,208,132,220,201,115,143,222,177,92,168,230,214,207,210,213,214,217,220,222,222,222,224,253,218,241,208,128,183,210,124,223,223,129,122,160,122,83,171,231,217,208,211,214,216,217,219,221,222,218,237,255,223,238,190,119,180,198,118,141,179,115,99,150,144,95,179,231,219,210,213,215,216,218,221,222,219,232,255,236,206,228,168,121,206,179,134,58,59,63,150,211,209,129,189,230,220,212,214,215,219,221,221,224,218,244,255,224,184,204,170,124,212,186,132,56,117,152,193,208,207,147,189,231,221,213,215,216,220,222,222,226,221,253,255,227,190,167,176,108,223,237,130,136,242,227,199,170,159,131,157,234,222,214,215,217,221,223,224,227,225,255,254,234,217,184,146,106,188,203,175,241,236,209,189,161,134,119,124,228,225,215,217,219,221,224,227,225,229,255,253,235,218,205,166,160,162,211,245,244,223,201,178,150,129,114,126,231,225,216,219,221,223,226,227,226,232,255,253,234,223,209,181,166,184,251,252,236,210,185,167,140,127,102,176,236,225,217,220,222,224,228,229,228,230,255,255,237,226,213,187,173,205,249,251,232,203,174,154,132,115,112,225,230,228,218,220,223,226,227,229,229,230,255,255,241,228,212,191,189,223,237,233,216,194,170,145,127,95,145,242,228,231,218,222,224,227,228,230,230,230,255,255,238,227,207,192,208,226,210,209,196,179,159,136,105,110,214,235,229,230,220,222,226,228,229,231,233,229,255,255,245,227,205,201,220,218,197,194,176,158,143,108,124,218,237,231,232,231,221,223,227,229,230,232,233,233,255,255,253,229,214,213,226,209,191,177,159,148,113,124,227,237,233,234,234,234,221,223,227,230,232,233,226,251,255,255,255,228,221,225,219,195,178,154,148,120,117,222,241,235,234,234,234,234,222,223,227,228,233,234,227,255,255,255,254,225,223,220,207,180,157,142,127,109,203,240,236,237,236,236,236,235,222,225,227,230,233,232,233,255,246,243,238,219,215,217,191,162,147,136,105,183,245,237,238,238,237,236,236,235,223,226,228,232,235,228,238,255,238,224,221,205,213,212,170,156,146,113,135,236,240,240,237,238,237,236,235,236,224,227,230,232,237,221,249,255,228,220,215,202,205,189,158,152,130,105,188,245,241,241,238,238,238,237,236,236,225,228,230,233,234,222,255,255,215,212,216,201,190,173,152,142,108,123,225,243,241,241,240,240,239,238,237,236
3,152,151,153,154,156,156,156,156,155,156,156,155,155,154,153,151,151,150,149,147,146,145,144,142,140,139,138,138,157,157,158,158,160,160,160,159,158,159,159,158,158,157,156,156,154,152,151,150,148,146,144,143,143,141,139,138,161,162,161,162,164,164,164,163,162,163,163,162,161,160,159,161,141,142,154,153,151,149,147,146,145,143,142,140,165,166,167,168,168,168,168,168,167,167,167,166,165,164,163,166,134,109,158,157,155,153,152,150,148,146,144,142,171,171,171,172,172,173,172,172,172,172,171,170,169,168,168,167,135,92,159,160,159,157,157,154,151,150,147,145,175,175,175,176,176,176,176,176,177,176,175,174,173,171,171,169,136,82,158,164,163,160,159,157,154,151,150,148,178,179,180,180,180,180,180,180,180,180,180,178,177,175,175,171,136,81,158,168,166,164,163,161,158,155,153,151,183,182,183,183,184,184,183,183,184,184,183,182,181,180,179,179,143,83,156,171,170,168,166,164,161,159,157,155,186,186,187,187,188,187,187,186,187,187,187,186,184,183,181,183,138,80,157,173,173,172,169,167,164,163,160,159,189,190,190,191,191,191,191,190,190,189,189,188,187,186,185,175,133,89,159,177,175,174,173,170,168,165,163,161,194,194,194,194,194,194,194,194,193,192,192,192,190,189,187,177,137,93,148,180,178,176,175,173,171,168,166,164,195,196,196,196,196,196,195,196,196,196,196,195,193,192,189,185,140,84,137,183,181,179,177,175,173,171,169,166,198,198,199,199,198,199,198,198,198,198,197,197,196,191,174,159,157,122,129,186,184,181,180,178,176,173,171,169,200,200,201,201,201,201,201,201,201,200,199,186,174,183,154,98,138,146,96,146,177,184,182,180,178,175,173,172,201,202,202,202,203,203,203,203,203,201,190,164,116,145,155,108,101,136,88,78,100,174,185,183,181,178,175,173,203,203,202,203,204,204,205,205,205,195,182,161,134,117,163,123,80,124,106,86,79,142,186,185,183,180,178,175,204,204,204,206,206,206,207,207,201,186,145,136,143,115,140,126,73,80,105,91,68,124,188,187,184,182,180,177,206,207,207,207,207,207,208,208,196,181,146,98,124,98,105,127,74,73,104,125,85,104,190,188,186,184,181,179,208,208,209,209,208,209,209,209,198,179,139,90,97,66,94,102,59,84,102,150,106,85,189,189,188,186,183,181,208,209,210,210,210,210,211,210,202,177,160,126,84,72,105,90,68,124,155,149,111,88,191,192,189,187,185,183,210,210,210,211,211,211,212,212,206,178,170,141,101,97,117,112,132,179,161,128,80,140,195,194,191,189,186,185,211,211,212,212,213,214,214,214,210,176,171,149,116,103,127,178,188,177,137,101,81,189,197,195,193,190,187,186,210,212,213,214,214,214,215,215,214,178,158,144,120,108,119,176,170,152,111,78,121,200,198,196,194,192,189,186,210,211,211,212,214,214,214,215,215,192,152,146,128,119,116,160,156,129,88,71,175,200,200,197,195,192,190,187,209,212,211,213,214,215,215,215,214,209,159,147,140,123,103,130,124,96,68,138,200,200,198,195,194,191,189,186,210,212,213,214,215,215,215,215,215,211,178,159,142,114,94,98,90,62,119,199,201,200,198,196,193,187,165,125,212,213,214,214,214,215,216,216,216,200,182,170,144,118,102,94,83,73,190,204,203,201,196,183,139,98,65,49,211,212,214,214,214,216,216,216,216,188,173,176,154,139,116,96,70,115,205,202,177,143,111,82,58,52,42,38
18,198,202,204,204,206,208,210,212,212,213,214,217,218,218,219,221,221,222,222,224,224,224,225,223,222,223,223,223,200,202,205,206,207,209,211,212,214,215,216,217,218,219,220,222,223,222,222,223,225,225,227,226,225,225,223,224,201,203,205,208,210,211,211,214,214,215,217,217,217,219,220,225,227,222,222,224,223,224,227,227,227,225,224,224,202,203,208,209,210,212,211,214,216,216,218,218,220,220,222,210,204,229,223,227,226,225,228,227,227,227,227,226,202,204,210,208,209,211,213,214,216,218,219,221,225,221,234,207,153,192,231,225,226,230,226,225,227,227,228,228,202,205,209,209,210,211,214,215,215,219,221,213,196,219,226,220,158,110,204,230,205,193,221,230,228,229,227,227,202,203,207,209,211,211,216,218,218,222,237,215,170,173,232,202,175,125,141,186,177,158,161,237,228,229,228,228,202,204,208,210,210,212,214,213,206,238,239,215,178,153,249,221,205,167,126,133,161,155,115,215,233,229,229,228,204,206,209,211,211,210,229,218,167,214,242,208,174,173,247,246,226,177,132,116,143,144,105,183,241,228,230,229,205,206,209,212,208,226,251,218,163,197,243,208,163,193,236,239,223,177,127,102,122,134,100,184,242,228,231,230,206,208,209,211,209,235,254,219,164,184,243,212,152,208,236,237,219,174,126,92,108,119,100,203,239,229,231,231,207,209,210,211,213,225,243,222,168,171,242,209,138,171,220,246,214,167,121,93,99,102,116,223,235,230,232,231,207,209,212,208,220,239,221,219,179,152,219,195,137,94,186,253,205,161,115,96,92,92,144,241,231,233,233,234,206,209,211,214,228,218,196,186,171,116,162,161,123,50,205,255,203,153,111,97,98,96,162,244,228,233,233,235,208,209,208,225,241,203,187,156,136,102,131,147,89,105,255,239,198,156,115,90,98,96,178,245,232,235,235,235,208,211,209,227,251,217,192,164,159,105,131,148,167,239,255,229,192,156,118,101,104,107,218,238,234,236,236,236,209,213,206,240,247,214,192,169,160,139,145,205,255,240,224,218,186,146,114,105,92,133,244,232,235,235,235,234,211,210,210,255,238,214,192,173,170,172,194,255,255,232,202,202,174,132,110,109,103,203,240,233,233,234,233,231,211,208,221,255,232,214,204,183,180,175,247,255,253,223,187,186,162,120,114,103,184,242,232,235,234,234,233,232,212,207,231,255,231,223,214,184,186,222,255,255,240,214,178,171,151,117,102,153,244,233,235,235,236,235,234,234,212,208,233,255,235,228,218,186,209,254,255,250,232,198,170,159,138,108,115,228,237,235,235,235,236,236,235,235,212,210,227,255,239,232,218,196,223,253,244,229,226,185,162,148,127,97,181,244,234,236,235,236,236,236,236,235,213,210,224,255,241,230,215,211,222,248,229,221,201,181,149,138,114,121,236,234,236,236,236,237,238,236,234,236,214,208,229,253,233,222,211,216,221,237,215,217,184,174,139,129,97,171,248,234,236,237,237,238,238,237,235,234,213,208,236,236,218,215,208,215,225,224,202,215,196,156,134,121,101,216,239,235,236,236,237,238,238,238,236,235,213,209,238,216,207,212,209,212,225,216,202,215,195,149,128,103,147,246,231,236,237,236,236,237,238,236,236,236,212,209,248,230,219,220,223,221,230,208,198,203,177,142,117,113,222,238,236,238,237,237,238,238,239,237,236,237,210,213,255,241,221,225,232,226,234,190,188,188,158,133,103,188,246,235,237,237,238,239,239,239,239,238,237,237
14,149,150,152,151,152,154,155,151,158,176,165,137,112,86,136,155,156,158,153,154,154,155,154,154,153,152,152,151,150,152,153,154,153,155,151,162,186,163,114,95,83,75,96,136,137,136,156,155,154,155,154,154,154,154,153,153,151,153,154,155,155,151,172,192,172,126,77,77,75,77,103,124,109,87,156,157,156,158,158,157,156,156,155,154,152,155,156,155,153,160,200,175,126,90,75,81,71,59,78,95,77,110,166,156,157,159,157,157,158,157,156,155,155,156,156,158,151,174,201,158,84,62,59,66,70,81,77,86,96,110,141,160,158,159,160,159,160,158,157,156,155,156,157,160,154,186,200,152,85,60,55,59,73,88,67,76,121,129,95,122,166,158,161,162,159,159,158,158,155,156,159,160,159,198,191,132,79,66,72,56,58,67,64,63,83,97,72,138,171,161,161,162,162,161,160,160,156,158,160,159,165,201,184,127,73,66,81,64,69,83,91,90,77,82,77,110,130,162,163,162,163,163,162,162,159,160,162,157,173,201,190,149,98,71,70,70,78,72,77,71,78,92,96,95,82,135,165,163,164,163,162,162,160,162,164,157,187,201,190,150,109,82,60,80,83,73,101,123,158,144,120,104,130,114,149,170,164,164,164,164,162,163,163,161,195,201,192,148,104,86,67,80,70,140,177,171,168,172,170,136,145,113,154,170,165,166,165,165,162,163,163,165,198,201,194,156,112,83,72,67,79,165,168,168,168,173,151,123,140,108,162,169,167,166,166,167,164,166,164,170,201,201,197,162,122,87,71,64,139,176,169,170,169,174,144,124,139,103,160,171,168,168,167,167,165,167,165,171,201,201,198,166,126,93,62,79,175,170,171,171,169,178,138,117,138,98,137,177,169,169,169,168,166,168,169,172,201,201,198,169,132,102,60,110,182,169,172,171,174,171,124,116,129,105,115,178,170,170,171,170,167,169,169,173,201,200,198,171,134,103,64,115,180,176,178,179,177,122,118,136,129,98,131,179,171,171,171,171,169,169,167,175,201,200,199,171,134,106,86,59,89,117,118,142,132,101,123,128,116,111,173,174,173,171,171,171,169,169,168,175,201,200,199,168,135,117,100,67,67,74,82,93,98,108,121,122,100,154,179,173,173,172,172,172,170,171,169,180,201,200,198,165,144,130,109,76,77,89,97,107,110,106,115,104,131,182,175,176,174,175,173,173,171,173,169,185,201,200,197,171,155,138,112,87,81,99,102,106,110,108,96,103,178,178,177,177,175,174,174,174,171,174,171,187,201,200,197,180,162,139,111,95,84,98,104,104,108,106,86,152,183,177,178,177,176,176,175,175,172,173,172,191,201,201,197,187,167,138,111,96,86,94,104,100,106,91,138,185,177,178,179,178,178,177,178,177,172,174,170,193,200,199,196,186,163,127,95,87,83,92,100,102,93,110,186,179,180,179,179,179,178,177,178,177,178,181,182,201,201,201,198,182,148,99,78,80,79,88,94,99,89,164,184,179,180,180,180,180,179,179,178,178,154,141,132,140,125,119,105,90,76,58,51,60,75,87,89,84,143,188,180,182,181,181,182,182,179,179,179,179,85,76,66,59,54,49,42,38,39,35,26,26,37,60,78,137,189,180,182,182,181,181,182,182,181,181,179,181,80,76,67,64,60,55,46,43,42,34,27,25,24,19,46,187,184,184,184,184,184,183,183,183,182,181,182,181,79,74,67,61,55,51,44,41,38,32,25,23,26,20,49,189,184,186,185,184,185,183,183,183,182,182,183,182
15,204,178,181,161,119,203,98,48,109,107,109,113,118,120,133,147,162,174,178,181,189,197,201,205,208,212,216,219,204,179,188,153,131,207,82,56,111,108,111,113,117,120,134,150,165,176,179,185,192,199,205,208,212,215,218,221,205,184,196,144,147,207,68,68,113,108,112,116,119,120,136,153,167,178,183,187,194,202,207,210,215,218,221,225,202,187,200,137,163,200,57,80,114,109,113,116,118,123,139,155,170,181,184,189,197,205,211,215,218,222,225,227,202,188,201,126,182,189,39,86,111,107,112,118,124,125,143,162,175,185,187,191,201,209,213,218,222,226,229,231,198,200,196,144,180,174,115,136,137,144,154,156,153,131,132,147,163,181,190,196,204,212,224,227,224,229,232,236,194,214,181,158,159,157,159,145,137,145,141,136,128,137,136,133,137,143,154,165,165,159,173,207,238,237,235,240,199,193,153,148,148,144,136,130,131,133,132,130,131,146,149,146,143,140,139,153,161,147,133,119,161,228,250,243,203,201,168,133,140,127,130,125,131,136,136,134,140,152,152,149,142,136,142,156,156,153,146,129,110,120,193,251,203,211,175,137,220,106,73,119,117,121,124,128,139,150,153,147,137,139,152,155,147,151,145,136,131,118,105,143,207,216,160,153,234,83,56,119,110,112,114,118,119,137,156,185,165,151,151,152,153,151,146,140,139,142,126,105,211,222,150,170,226,69,72,120,111,113,115,119,121,134,168,220,199,169,157,150,141,146,141,143,142,157,138,120,213,224,141,185,218,56,81,121,112,113,116,118,122,134,209,201,176,133,128,139,116,119,141,145,153,168,146,132,213,222,137,201,205,47,90,119,111,113,116,121,114,170,219,174,160,123,82,95,77,84,176,165,170,162,142,140,215,219,131,214,190,41,99,119,111,113,117,116,132,227,195,158,139,116,75,68,53,90,200,188,180,149,134,141,217,213,131,228,176,37,107,119,113,113,117,108,172,243,195,151,130,88,65,69,49,119,203,203,192,153,128,134,223,208,133,237,157,37,114,118,112,114,118,110,148,230,213,169,135,79,58,67,71,129,195,215,199,158,129,125,231,201,139,248,141,40,119,116,112,113,116,119,117,209,235,200,148,95,52,99,113,115,187,207,181,152,129,111,237,194,148,255,126,45,122,115,112,112,115,119,119,170,252,221,164,106,68,75,136,178,192,175,147,141,124,102,243,182,160,255,109,51,125,114,110,110,113,115,124,145,238,235,205,187,179,179,196,176,155,134,122,125,120,106,246,172,176,255,91,58,124,111,109,109,112,112,125,142,203,245,209,192,188,197,192,145,117,119,114,115,122,126,248,160,191,252,76,67,123,109,108,108,111,113,123,152,227,196,165,162,171,198,191,131,108,110,104,118,122,115,246,153,209,241,65,78,123,109,107,107,111,115,116,185,231,171,163,166,163,186,185,139,108,121,214,149,89,84,241,147,225,229,42,76,114,99,98,99,103,108,112,184,212,165,150,149,145,169,169,142,98,214,255,159,90,89,236,144,235,216,113,134,148,134,128,124,121,122,132,162,186,177,191,188,138,117,163,136,113,205,255,166,97,92,229,148,239,220,185,149,162,162,160,157,158,162,159,157,159,169,177,226,192,115,170,169,145,192,227,153,106,95,222,151,245,219,168,132,150,147,148,149,152,151,153,152,150,154,147,179,226,155,142,159,158,154,158,134,103,102,214,157,249,214,168,142,153,154,155,155,155,156,158,159,161,163,161,158,181,172,161,165,165,166,171,138,88,69
23,119,122,125,134,144,154,161,164,167,171,177,181,184,187,189,191,194,196,198,198,197,198,198,199,200,199,198,198,119,122,127,136,146,155,162,166,168,174,179,183,187,188,189,192,197,198,198,200,200,200,200,201,201,200,199,199,120,123,127,137,147,157,164,167,169,175,180,184,188,190,192,195,197,199,201,202,202,203,203,202,202,202,201,201,120,123,127,138,148,158,165,168,170,176,182,186,189,192,195,196,198,201,203,203,203,203,203,203,203,203,203,202,122,124,127,138,149,159,166,169,173,178,183,188,190,192,196,197,200,202,202,203,204,203,204,203,204,204,204,201,121,124,129,140,150,160,166,170,174,179,184,189,191,194,197,199,201,203,203,204,207,206,205,205,204,204,204,203,121,123,129,141,151,161,168,169,174,180,186,190,193,196,199,201,203,203,206,206,204,205,203,206,208,205,203,204,122,124,130,142,152,162,169,172,175,182,187,191,195,197,200,203,203,206,206,203,230,238,214,207,203,205,206,204,121,124,131,143,152,162,169,172,176,183,189,193,196,198,202,204,206,206,210,247,255,224,220,197,142,200,210,207,122,124,131,143,154,164,171,174,178,185,191,194,197,201,203,206,205,215,255,240,204,143,171,178,181,211,209,209,122,125,132,144,155,165,172,174,179,186,191,196,199,201,203,208,203,249,255,167,122,184,213,213,217,212,210,210,122,124,132,145,156,167,173,175,180,186,192,197,201,203,207,208,210,255,255,204,216,206,200,216,213,213,212,211,121,124,132,145,157,167,174,176,181,188,193,199,204,202,206,207,232,255,255,255,255,175,165,227,213,215,214,213,121,125,133,146,157,169,175,177,183,189,194,202,200,215,236,244,255,218,241,230,218,158,135,201,214,217,216,215,122,126,135,147,159,170,177,180,185,190,197,198,218,251,244,251,255,227,254,255,226,155,122,172,196,224,216,217,122,125,135,148,160,171,178,181,186,193,196,209,251,232,224,230,230,211,232,246,210,144,114,138,153,229,219,218,123,125,134,148,161,172,180,181,186,195,193,255,255,249,239,240,228,215,215,180,163,144,109,141,124,174,226,220,123,125,135,148,161,172,180,182,187,195,199,255,255,251,215,216,231,227,216,164,141,152,100,138,141,132,205,226,122,124,135,150,161,173,180,182,187,194,202,255,255,236,189,160,172,191,195,150,148,149,93,134,143,150,217,224,122,125,136,150,162,175,180,182,187,194,205,255,255,206,154,133,104,201,194,141,156,127,112,146,141,183,231,223,122,124,138,151,162,174,181,184,191,194,208,255,255,201,157,119,127,202,171,144,132,98,130,153,155,224,228,228,121,124,137,151,163,176,182,184,192,193,217,255,250,198,162,129,119,130,131,113,105,114,131,143,187,237,228,229,119,122,136,151,162,174,180,182,190,191,225,255,244,196,162,126,94,100,106,118,136,137,136,142,217,232,229,229,118,121,135,149,163,174,182,183,192,192,236,255,238,198,162,135,113,126,139,145,151,144,133,180,235,231,230,229,117,121,134,149,162,175,182,184,193,193,234,255,230,194,165,141,124,130,150,154,154,139,152,234,233,232,232,231,115,119,132,148,163,174,182,184,192,193,236,255,220,195,170,147,136,132,152,157,156,133,192,242,231,233,232,231,112,116,130,146,161,174,180,183,191,193,245,248,224,211,184,158,143,133,149,155,146,158,232,235,234,232,232,232,114,118,130,145,158,171,178,181,190,195,255,254,237,224,197,163,147,138,148,149,149,216,238,231,232,231,232,231
8,188,188,189,188,189,189,189,189,190,190,189,189,188,189,188,188,188,187,188,187,187,186,184,183,184,183,172,81,189,190,191,191,191,190,190,191,191,190,186,190,190,190,191,190,189,189,189,189,188,188,186,186,186,185,181,134,191,193,193,192,192,192,192,192,193,192,149,184,193,193,194,193,193,192,192,191,190,189,187,187,187,186,184,118,192,194,194,194,194,193,193,193,197,190,128,181,195,195,194,195,194,193,193,192,192,191,190,189,189,188,182,132,194,194,195,194,195,194,195,194,205,177,114,189,196,196,195,196,196,195,195,194,193,193,192,191,191,189,187,160,195,195,196,196,196,195,196,196,211,165,113,197,198,197,197,199,197,196,196,196,195,193,193,193,192,191,188,187,195,196,198,198,198,198,197,200,213,159,126,199,200,199,200,200,198,198,197,196,195,195,195,194,193,193,191,191,197,197,199,199,199,199,200,205,206,140,145,200,199,200,201,199,201,200,199,199,197,197,195,195,195,193,192,191,199,199,199,199,201,201,199,211,197,136,152,205,185,179,200,194,188,198,200,201,199,196,196,196,196,194,195,194,200,201,201,200,201,200,200,216,193,144,160,222,185,146,174,181,147,156,179,179,189,160,163,198,197,198,197,195,201,201,201,201,202,202,201,219,195,148,196,230,201,157,146,176,153,113,135,145,180,137,124,200,199,199,197,195,202,201,202,202,203,203,205,216,196,154,219,236,212,168,123,171,154,127,164,148,192,138,119,201,199,198,198,197,202,202,202,202,203,203,210,203,194,179,208,233,220,173,113,161,141,161,172,150,200,162,124,199,200,199,199,198,202,202,202,202,204,204,210,182,196,195,182,215,219,175,110,141,134,177,160,144,197,177,145,170,203,201,200,199,202,202,202,202,204,208,206,163,188,184,176,194,221,180,111,111,137,180,149,121,191,176,142,131,203,202,201,200,201,201,202,202,202,212,207,152,157,166,155,171,214,176,105,95,134,170,134,115,190,164,119,153,203,202,201,200,201,201,202,203,203,219,218,150,137,137,133,138,198,180,114,88,138,176,131,138,172,137,109,192,201,201,200,200,202,202,202,203,206,227,224,166,123,133,127,133,177,188,137,78,134,151,125,160,136,106,143,202,201,201,200,200,202,202,203,203,208,228,226,181,120,123,124,126,161,166,123,108,172,165,170,167,119,99,190,202,201,201,201,201,202,202,203,205,212,228,225,190,121,127,134,132,180,187,169,188,187,170,157,157,111,116,204,204,204,203,201,201,202,203,203,205,213,228,227,191,126,134,134,156,204,213,211,202,185,169,138,127,100,146,206,204,205,204,202,201,201,203,204,203,212,226,224,186,140,149,137,192,218,220,217,205,185,157,125,101,103,194,206,205,204,203,203,202,147,150,152,154,193,228,224,192,162,154,141,202,223,228,215,199,175,143,110,90,141,201,202,203,201,201,203,204,99,99,98,98,155,227,223,200,170,161,149,197,227,229,202,185,159,124,100,88,114,131,134,143,169,198,209,207,103,103,102,103,135,224,221,199,171,164,153,196,227,216,189,165,139,107,96,94,100,123,158,192,205,206,207,203,104,102,103,103,133,220,210,187,167,162,156,205,217,197,172,141,120,95,98,146,175,199,205,209,214,208,196,196,102,103,105,103,151,215,201,183,169,163,165,198,198,183,153,124,110,87,150,221,216,195,189,193,197,206,202,193,103,102,103,102,171,211,197,182,172,165,172,187,184,172,138,116,109,104,183,196,217,211,189,178,184,186,182,186
15,85,93,101,105,106,110,116,122,126,131,134,137,140,142,144,147,149,152,154,156,158,160,161,162,164,164,165,166,87,94,102,105,107,110,117,123,127,131,135,138,140,142,145,147,150,153,154,157,160,161,162,163,165,166,167,167,87,95,102,105,108,113,118,123,128,133,136,138,140,143,146,149,152,154,157,159,160,161,164,165,166,166,167,169,89,96,104,107,109,114,119,125,129,132,135,139,142,145,147,150,153,155,158,159,160,162,164,166,167,167,168,169,89,97,103,106,109,113,119,126,129,133,137,139,142,145,148,150,153,154,157,159,162,163,165,166,166,167,169,169,97,102,110,112,114,121,125,128,126,130,133,136,141,145,148,150,153,158,161,160,162,165,166,168,169,169,169,171,125,114,119,121,122,132,138,140,144,142,135,132,133,134,143,143,139,139,147,162,165,165,168,169,169,170,170,171,110,93,98,106,118,131,134,141,156,150,142,143,146,153,149,150,151,131,118,110,150,170,166,169,169,171,171,172,83,81,88,90,96,107,114,127,150,157,155,156,156,159,162,149,146,162,122,96,86,142,174,168,170,171,171,172,94,104,107,106,108,111,115,117,124,136,149,166,169,144,146,153,121,168,121,97,110,92,142,175,167,171,171,172,93,101,107,108,113,120,122,131,123,108,114,119,141,139,123,131,113,172,125,88,123,129,79,148,172,169,171,172,94,103,108,108,113,117,122,147,116,99,91,101,128,135,106,101,106,139,122,105,122,130,88,80,168,170,170,171,94,103,107,108,113,115,134,159,100,89,98,115,140,134,109,99,107,98,99,111,125,114,80,58,104,179,168,171,95,103,106,108,113,117,129,169,112,89,116,126,138,126,105,101,103,102,101,114,126,124,82,62,56,123,177,173,95,103,108,108,114,116,144,173,168,135,116,104,108,102,87,88,90,99,111,121,124,120,90,66,64,59,111,170,94,103,107,108,113,115,154,174,162,170,147,99,56,52,53,48,52,71,97,113,109,103,83,73,73,67,57,86,94,103,106,108,113,117,137,171,165,149,155,163,94,27,37,31,35,41,67,104,110,105,97,95,84,74,70,63,85,90,94,98,102,104,109,155,167,147,141,168,102,43,37,33,42,36,64,115,124,122,117,111,97,80,72,71,67,70,72,71,74,71,80,170,159,144,134,132,71,49,40,36,45,43,55,99,117,120,119,111,98,81,71,76,75,75,76,76,78,79,80,147,171,150,119,112,95,53,42,43,46,54,62,74,95,103,108,105,95,81,73,75,76,75,76,78,78,81,78,88,127,142,128,117,110,70,48,49,45,53,66,69,79,98,102,97,86,81,78,76,76,76,77,77,78,80,81,79,80,85,86,87,80,73,56,52,44,49,64,73,65,84,95,92,85,82,80,80,76,76,78,78,79,78,79,80,80,82,81,81,80,85,82,69,69,63,72,84,76,76,88,85,81,76,77,79,75,75,76,78,79,79,81,81,81,84,85,85,86,93,97,110,107,93,106,113,118,110,104,98,80,72,83,87,75,75,76,76,78,80,80,80,81,82,83,84,84,84,83,105,98,118,142,143,137,132,118,107,89,87,103,101,74,75,75,76,78,80,79,80,81,83,83,84,84,85,83,82,83,97,117,127,132,114,99,89,95,102,105,118,75,75,76,77,78,78,80,80,81,81,82,83,83,82,83,85,85,86,81,93,103,90,101,109,102,95,106,129,74,75,76,77,77,77,79,80,80,80,81,81,82,83,83,84,85,85,86,86,84,97,115,117,95,100,115,131
14,167,167,167,167,167,167,168,168,168,169,169,168,168,168,169,169,169,169,168,168,168,167,167,167,166,166,162,137,169,169,169,169,169,169,170,171,171,171,171,171,170,170,170,171,171,171,170,170,170,169,169,168,168,167,162,133,171,171,171,171,172,172,172,173,173,173,171,171,172,172,170,172,173,173,173,173,173,171,171,170,170,170,167,149,174,174,174,174,175,174,174,176,179,177,170,166,171,168,159,159,168,173,174,175,175,175,174,174,172,172,171,163,177,177,177,178,178,178,180,185,185,164,153,153,156,147,130,135,151,156,160,175,178,178,178,177,175,175,174,171,180,180,180,181,180,187,192,182,161,121,101,110,120,115,93,94,124,123,121,167,181,181,180,179,177,177,177,175,182,181,182,182,182,196,194,148,110,81,60,66,78,81,69,68,88,91,91,146,178,178,172,175,179,179,179,178,184,183,183,184,184,201,190,132,80,58,49,47,52,57,58,56,65,77,90,112,146,156,144,153,177,180,181,180,186,185,186,186,186,204,188,134,81,57,52,50,49,49,54,54,59,83,106,98,108,142,132,143,179,183,183,182,188,187,188,187,189,205,180,126,76,54,52,56,54,51,55,61,70,87,96,89,124,150,122,151,185,186,185,185,189,189,189,189,195,206,180,137,95,65,54,55,54,60,61,86,125,146,139,127,156,151,116,155,187,188,187,187,191,191,191,191,201,211,186,150,112,82,66,56,58,71,75,125,180,189,186,172,171,150,112,153,188,189,189,188,193,194,193,193,206,217,193,154,110,83,71,65,67,71,85,153,192,194,189,174,170,145,109,145,189,191,190,189,194,194,195,194,209,221,199,157,108,79,68,67,74,73,103,178,195,194,185,176,170,141,105,137,189,193,191,191,195,195,196,196,211,223,202,166,121,84,65,64,73,75,123,189,196,193,181,183,172,134,104,152,192,194,194,193,195,196,197,196,210,224,205,172,133,93,66,62,67,71,126,178,190,184,174,182,169,125,123,180,196,196,195,194,198,199,199,195,206,223,207,178,142,100,72,61,61,68,102,133,158,163,167,173,153,119,155,195,198,198,197,196,200,200,200,195,206,223,209,182,149,112,79,57,62,75,96,121,140,148,157,157,131,127,181,200,200,200,199,198,200,200,200,196,206,223,212,185,155,122,89,61,67,84,110,134,145,143,140,132,114,150,196,202,202,202,201,199,201,201,201,195,204,222,213,189,160,128,97,69,70,93,124,145,148,135,120,106,110,175,202,203,203,203,202,201,202,202,202,195,200,220,213,192,164,133,103,79,72,94,127,147,146,128,105,96,129,192,203,203,203,203,204,203,203,203,203,196,199,217,212,194,168,139,108,87,75,90,126,145,140,117,96,107,167,202,205,204,204,204,204,203,205,205,203,196,200,216,212,195,172,145,115,96,83,89,126,141,131,107,92,137,197,206,206,206,205,205,204,204,207,207,205,197,204,219,211,196,177,150,118,101,91,88,121,129,118,98,97,167,207,208,207,207,206,206,206,206,207,208,207,199,209,221,211,198,181,154,121,103,94,87,108,116,108,93,116,191,210,209,208,208,207,206,206,206,208,208,207,200,216,222,214,202,182,153,121,102,93,87,97,103,98,96,153,206,212,211,209,208,208,207,207,206,208,208,203,200,220,224,214,199,174,143,114,98,90,87,91,93,93,125,191,212,212,211,210,209,208,208,208,207,209,208,200,200,218,222,211,189,160,131,107,93,87,88,90,90,100,164,209,213,212,212,211,210,209,209,209,208
5,158,161,165,166,166,168,169,169,170,172,171,171,172,172,173,171,176,174,172,173,171,171,170,169,167,166,168,166,162,165,168,168,169,171,173,173,173,174,176,176,176,177,176,176,147,172,176,175,175,174,174,172,171,170,170,168,166,169,172,173,173,176,177,177,177,178,180,180,177,180,180,195,122,149,187,178,179,179,177,176,175,174,173,172,171,173,176,177,177,179,181,181,181,182,182,182,183,148,161,206,130,127,193,181,182,182,181,180,179,178,176,175,174,176,180,181,182,183,184,185,184,186,187,184,199,145,127,213,128,111,199,185,186,184,184,182,181,181,180,179,178,180,185,186,185,187,189,189,190,189,190,188,205,158,116,207,128,114,202,188,189,188,187,186,185,184,184,182,180,182,187,188,189,192,191,191,187,190,195,191,208,163,105,204,142,121,203,193,193,193,192,190,188,188,188,185,184,185,189,191,192,195,193,200,162,152,203,192,210,175,109,200,131,125,206,195,196,195,199,197,190,190,190,188,186,188,192,194,195,196,195,202,173,119,202,196,213,178,96,193,124,129,210,198,198,195,160,180,200,192,191,191,188,191,195,197,198,198,197,206,195,101,196,201,211,176,87,191,148,129,213,196,202,202,158,132,199,198,195,194,190,193,197,199,199,200,201,205,194,104,194,205,205,192,98,166,162,132,211,193,183,163,193,165,162,200,198,196,194,196,200,201,202,203,204,205,211,116,174,211,199,201,105,126,165,142,208,197,176,77,158,186,131,186,205,199,195,199,203,203,205,205,205,206,217,150,143,213,201,205,109,119,162,140,197,192,163,125,194,164,135,207,203,202,196,200,204,205,206,206,208,207,202,206,165,175,200,190,133,144,148,125,166,178,137,182,211,128,173,213,202,204,199,202,205,208,209,209,209,212,197,212,199,162,165,165,139,140,138,128,169,177,141,201,190,102,192,210,205,205,202,205,206,209,210,212,211,213,208,208,222,185,157,156,130,136,133,131,162,173,156,217,164,88,206,210,208,207,203,206,208,209,211,213,214,213,214,210,237,209,145,141,122,116,126,135,160,168,157,222,158,106,220,209,210,209,204,208,210,211,212,213,214,215,216,213,239,218,150,113,114,108,122,150,170,155,148,217,160,123,223,210,212,211,207,210,211,213,213,213,216,217,217,214,234,215,158,114,113,109,139,163,183,196,161,201,160,129,225,213,212,212,207,210,211,212,215,218,218,218,220,214,229,209,159,117,107,118,153,171,202,214,175,175,138,124,224,215,214,212,210,211,212,214,217,218,218,219,221,213,230,209,167,119,106,126,168,196,202,205,189,144,98,109,225,215,216,216,210,211,213,217,218,218,220,219,223,213,226,210,172,121,108,125,178,210,207,196,165,116,65,138,230,215,218,218,210,212,217,218,218,219,221,222,225,217,218,209,171,123,116,118,187,219,205,176,142,89,88,215,223,218,219,218,212,213,217,219,219,219,221,223,226,214,202,206,171,129,124,115,185,206,182,154,120,73,179,234,221,221,219,219,212,213,216,218,219,219,223,222,227,216,195,198,163,141,130,118,170,186,168,142,85,114,234,223,225,223,221,220,211,213,216,217,218,218,220,221,224,218,193,187,157,147,124,115,160,172,158,107,72,202,231,224,225,224,222,221,210,213,216,217,218,218,219,222,225,217,196,190,161,145,126,104,144,143,117,70,167,235,222,225,225,224,222,221,211,213,216,218,218,218,221,224,228,214,203,191,150,137,129,100,125,110,69,134,236,223,226,225,224,224,222,220
17,138,139,141,143,147,149,149,152,153,153,154,156,157,158,160,161,161,161,162,162,164,163,163,163,162,163,164,163,139,140,142,146,148,149,150,153,153,154,156,157,158,160,160,162,162,162,163,163,164,164,165,166,165,166,166,165,140,142,145,148,150,151,152,154,155,156,158,158,159,161,162,162,163,165,164,164,166,165,166,167,167,167,168,167,142,143,147,148,150,152,153,154,156,157,159,159,161,162,164,163,165,167,166,167,169,167,167,169,167,168,168,168,141,144,147,149,151,153,154,155,157,158,160,161,162,164,164,166,167,167,163,171,167,168,169,169,168,169,170,169,142,144,147,149,152,154,155,156,158,158,161,163,163,163,166,167,166,170,148,126,127,121,174,169,170,170,171,170,143,145,148,150,152,155,156,158,159,161,162,163,163,165,167,168,166,177,172,108,78,99,173,170,171,171,171,171,145,146,149,152,153,155,156,159,161,164,164,165,166,168,167,168,168,177,181,129,71,107,181,170,172,172,171,172,146,147,149,152,154,155,158,160,162,163,164,166,167,164,171,170,170,173,187,149,82,126,183,171,173,172,172,173,146,148,151,154,155,157,160,160,161,163,164,163,169,150,133,174,171,174,188,148,97,156,179,175,175,173,173,173,145,149,152,153,155,158,160,160,162,163,165,167,175,161,115,124,173,187,183,141,101,165,178,176,175,175,174,173,146,149,152,154,157,158,161,161,162,167,156,136,170,177,162,143,120,151,175,144,99,164,180,176,176,176,175,175,147,149,153,155,157,160,162,161,166,191,156,107,148,175,190,177,127,84,138,136,101,163,181,177,176,175,176,176,147,151,154,156,158,161,164,160,176,162,166,138,137,123,161,192,159,94,99,120,95,161,181,177,176,176,177,177,148,151,155,157,159,160,163,160,185,152,123,127,96,63,104,207,176,117,82,97,85,161,183,178,177,177,177,177,150,152,154,157,159,161,164,165,181,142,109,126,103,90,104,203,190,140,83,87,80,157,183,178,179,178,177,178,149,152,155,158,160,163,163,171,186,160,144,133,112,134,120,192,195,150,97,83,81,152,185,178,179,179,178,178,150,152,155,159,160,163,161,181,178,141,135,128,124,144,169,192,176,157,107,78,77,154,186,178,181,181,179,179,151,153,156,158,162,165,163,189,166,138,129,129,137,157,214,190,157,146,104,74,70,156,187,180,181,181,180,180,152,154,155,159,162,164,163,195,169,146,131,132,140,196,206,187,155,135,99,73,71,166,185,182,181,181,181,181,151,154,156,160,161,163,168,199,171,156,133,132,166,212,192,180,146,128,94,70,89,185,181,181,180,181,181,181,151,153,158,161,163,161,174,201,172,163,147,133,186,209,187,178,138,116,91,64,127,191,180,182,181,181,179,179,151,154,157,161,166,163,179,206,176,172,163,142,189,197,180,172,141,105,84,73,169,185,181,183,183,183,181,181,152,155,159,162,165,163,176,210,183,177,170,152,175,190,177,165,135,102,72,111,192,181,182,182,184,184,182,181,152,155,159,163,165,165,171,207,191,173,163,161,165,180,171,174,131,97,69,142,191,180,181,183,183,182,182,182,153,155,160,163,165,168,167,202,186,172,157,159,168,169,170,175,132,95,73,161,189,183,184,184,184,183,183,184,153,156,159,161,164,166,170,201,184,173,158,158,168,166,170,166,123,91,94,184,185,184,185,185,184,184,184,183,152,154,157,161,165,165,174,203,194,175,164,167,174,160,166,153,112,80,136,193,183,184,184,184,184,185,185,183
4,182,184,185,186,187,188,187,187,187,188,189,188,188,189,189,188,189,189,188,189,188,189,188,188,187,187,187,186,185,186,187,188,189,190,189,189,190,189,190,190,191,185,180,185,189,179,175,188,191,190,191,191,189,188,188,188,187,188,188,189,191,192,191,191,192,192,189,189,193,184,163,149,163,166,150,147,179,192,193,193,192,190,190,190,189,189,189,191,192,193,193,194,193,189,177,162,159,188,193,156,113,122,156,128,99,185,194,193,194,193,193,192,191,190,191,193,193,194,195,194,195,204,198,169,127,116,191,153,112,68,114,123,79,162,196,195,195,195,195,195,193,194,194,195,195,192,190,166,146,177,180,185,131,83,153,159,111,67,79,118,86,147,198,198,196,196,196,195,195,196,196,196,196,200,196,159,102,98,128,188,159,91,96,166,149,84,59,141,104,144,200,200,198,198,198,196,197,196,196,197,198,183,170,165,114,71,73,176,189,112,70,172,170,106,61,136,121,152,201,201,200,199,199,199,196,197,198,198,196,186,137,157,148,100,53,138,184,118,74,141,167,114,63,98,108,160,202,202,202,201,201,201,198,199,200,200,199,188,131,121,154,117,72,95,117,99,82,93,121,95,67,80,83,99,198,203,204,203,202,201,200,200,200,201,202,197,176,152,132,102,74,88,92,96,100,103,100,86,78,110,111,96,158,205,203,203,203,202,200,201,202,203,204,204,182,155,126,102,89,96,97,100,119,112,114,91,117,153,149,130,111,195,206,205,205,204,202,202,203,204,206,205,176,148,126,107,107,109,114,132,135,151,163,167,134,158,160,137,96,142,207,207,206,204,202,204,204,205,206,203,170,136,118,103,111,123,136,159,175,183,198,197,186,169,147,114,84,89,202,207,207,207,203,205,206,205,206,208,184,152,126,114,122,131,143,191,186,191,197,194,183,165,138,105,79,78,193,208,207,207,204,207,207,207,206,211,196,163,133,117,119,135,157,200,189,195,195,193,179,161,138,102,81,94,205,209,208,208,205,207,208,208,207,208,204,176,148,123,122,142,158,201,196,204,205,194,179,160,132,99,76,144,211,211,211,210,206,207,208,208,209,208,209,191,159,131,131,153,153,198,205,210,211,202,185,155,120,95,77,191,214,213,212,211,207,208,209,209,209,208,208,201,169,141,143,164,157,196,208,216,217,214,185,145,111,87,105,212,215,214,212,211,207,208,209,210,211,207,204,207,181,145,150,164,166,198,207,219,221,209,172,136,108,76,156,215,215,214,213,214,208,210,211,211,211,205,196,200,188,155,152,161,168,201,207,217,213,187,152,124,101,80,198,215,215,215,214,213,208,210,212,212,212,207,190,200,195,170,155,157,168,195,205,201,191,164,137,113,87,116,215,216,215,215,214,214,208,210,212,212,214,213,192,195,196,182,166,162,169,185,197,188,168,147,121,96,84,184,218,217,217,217,216,216,207,208,209,210,211,213,203,185,188,184,172,167,165,165,172,166,146,123,96,78,139,215,217,216,218,217,216,215,208,209,210,210,211,213,209,183,187,181,172,167,156,150,156,153,132,102,80,83,202,216,217,216,217,216,215,214,209,210,211,211,212,213,211,185,185,173,164,162,151,139,142,140,115,86,75,120,216,216,217,217,217,216,216,215,209,211,212,212,213,213,212,189,182,156,148,153,145,141,138,127,102,83,69,158,216,218,219,217,216,217,216,215,210,211,213,214,214,214,213,190,189,164,161,169,160,151,139,122,104,86,68,182,215,218,218,218,217,217,217,215
19,166,166,166,168,170,171,172,172,172,173,173,172,172,171,171,171,170,169,167,166,166,165,165,165,163,162,163,162,166,168,169,170,171,172,173,173,173,173,174,173,173,173,172,172,171,171,170,169,168,167,166,166,165,165,165,164,166,169,171,171,172,174,174,174,175,175,175,174,174,174,173,173,172,171,171,171,170,170,168,168,167,166,165,165,167,169,171,173,173,174,176,176,177,178,177,176,175,174,174,175,174,172,172,171,171,172,171,169,167,167,166,165,169,170,171,173,174,175,178,178,179,179,178,179,179,177,176,176,174,174,173,172,173,172,171,169,168,167,167,166,170,172,172,173,175,178,178,180,179,179,179,179,180,180,178,177,176,174,174,173,173,172,171,170,169,169,168,168,171,172,173,176,177,179,180,181,181,181,181,180,179,178,179,181,179,178,176,175,175,174,172,172,171,170,169,169,171,174,176,178,179,180,181,182,181,181,180,181,180,179,174,167,175,178,177,178,178,175,174,173,170,169,170,169,173,174,177,179,181,181,182,183,182,183,182,181,180,184,167,129,138,180,167,168,171,170,166,170,169,114,164,172,175,176,178,180,181,182,183,182,183,179,175,179,178,185,178,172,182,185,172,171,184,176,168,152,118,105,169,173,176,178,179,180,181,183,183,186,188,164,155,162,170,173,165,155,146,153,143,153,169,148,122,114,129,166,176,173,175,178,180,180,182,183,182,183,164,157,168,170,161,162,157,149,114,104,104,109,143,143,158,171,180,177,174,175,179,179,181,182,185,178,188,202,185,186,187,179,169,156,120,98,104,85,81,154,187,183,183,179,178,176,175,175,180,181,182,183,187,177,212,223,198,181,173,167,162,145,111,82,96,87,89,174,184,181,180,178,178,178,178,178,178,180,183,184,187,178,209,213,180,153,127,118,119,129,116,90,97,89,94,178,182,183,181,181,179,178,179,178,179,181,184,185,187,178,193,201,169,120,109,76,71,144,123,96,99,89,107,185,184,183,183,182,182,180,180,179,180,181,184,185,189,176,187,201,167,125,87,61,119,143,117,99,100,87,128,193,184,184,185,184,183,181,180,179,181,182,184,186,190,174,183,206,172,140,111,78,83,83,81,87,88,95,106,189,187,186,185,184,184,182,181,179,182,184,186,187,191,175,182,206,177,146,116,103,74,52,49,59,77,89,86,175,190,186,186,185,183,183,181,180,182,185,187,187,193,173,174,203,174,147,119,106,105,83,73,79,88,95,89,164,193,187,187,185,184,184,183,183,183,185,187,188,192,177,171,200,172,145,121,108,107,94,84,89,95,102,94,168,194,187,187,186,185,185,185,184,183,185,187,190,193,180,168,198,172,142,121,109,107,95,85,90,98,101,102,180,192,188,187,187,186,186,186,185,184,186,188,190,194,185,173,192,165,138,119,107,105,100,92,95,103,103,121,193,191,190,189,188,187,187,186,185,186,187,188,190,193,185,183,194,165,136,121,109,104,104,102,104,112,101,155,197,190,191,190,189,189,188,186,187,187,188,189,192,195,182,186,198,171,143,125,113,105,109,109,111,107,129,191,193,193,192,192,189,189,188,187,187,185,187,188,191,197,176,187,194,171,155,131,111,105,113,112,109,147,190,195,194,192,191,191,189,189,189,188,186,184,187,187,188,190,178,191,184,161,147,129,110,109,111,103,132,194,194,192,192,191,190,190,189,189,188,187,186,184,187,188,189,187,190,199,188,167,145,132,115,106,106,97,148,193,193,192,192,191,190,189,189,189,187,186,185
13,186,188,191,192,192,194,195,197,199,198,199,200,201,201,201,201,201,200,200,200,200,200,200,201,200,199,199,198,187,189,192,193,193,196,199,200,201,200,201,201,202,203,203,203,203,202,201,201,200,200,201,201,200,201,201,201,189,191,194,194,197,199,200,201,201,202,202,203,205,205,205,205,205,205,204,205,202,201,202,203,203,202,203,202,191,193,194,196,198,200,201,202,202,203,204,205,207,207,206,207,206,211,212,199,206,203,205,205,205,205,205,204,194,194,196,198,200,200,202,204,204,205,205,206,207,207,207,207,209,242,223,168,182,211,201,205,208,207,206,206,194,197,198,200,201,203,205,206,206,207,207,207,206,210,209,206,221,247,212,156,177,229,174,156,206,208,208,207,196,198,200,201,202,204,206,207,207,208,209,207,212,243,221,193,237,237,219,147,193,221,172,113,174,212,209,208,197,199,202,203,204,206,208,209,209,210,209,206,230,255,236,197,205,198,176,112,196,215,160,104,151,217,210,210,198,201,203,204,206,208,209,209,209,212,212,223,218,246,246,220,161,108,110,102,192,182,118,89,156,218,212,212,199,202,204,206,208,209,210,211,211,210,233,248,208,192,253,230,180,102,93,132,202,173,129,100,162,219,215,214,202,203,205,207,210,210,211,213,212,218,254,253,231,172,221,229,179,121,69,107,209,231,221,145,168,219,215,216,202,204,207,208,210,213,214,215,211,238,250,253,246,199,159,207,168,118,76,131,212,225,219,180,173,221,217,218,204,206,209,210,211,215,216,215,215,250,239,239,239,199,125,179,192,127,133,234,237,215,195,182,153,218,218,219,204,207,210,211,213,216,216,215,231,255,242,217,206,163,103,151,208,164,223,251,239,216,186,164,142,216,221,219,206,208,211,213,214,215,217,216,235,255,246,220,194,160,117,96,195,233,252,244,234,208,177,142,159,223,221,220,208,210,213,215,215,215,218,218,233,255,248,221,184,175,145,124,240,255,252,243,223,190,164,131,180,226,223,221,208,211,214,216,216,217,218,218,238,255,251,231,214,190,213,228,255,253,249,239,210,184,156,124,193,228,224,223,209,212,215,217,218,219,221,219,241,255,254,242,235,216,227,237,254,248,240,233,204,175,139,124,211,227,225,224,211,214,216,218,218,221,223,220,236,255,255,248,239,225,224,230,251,241,229,226,201,154,121,156,230,226,227,225,212,215,217,219,221,221,224,223,230,255,255,252,238,221,225,231,242,227,218,212,174,127,117,212,231,227,228,227,215,217,218,220,222,224,226,222,220,244,238,227,209,202,217,223,238,223,210,188,142,102,157,236,229,230,229,229,215,217,220,221,223,220,179,168,165,158,142,128,122,118,120,124,136,129,130,126,108,116,226,233,230,230,230,230,215,218,221,222,225,214,148,146,146,137,122,116,109,102,94,89,74,65,61,56,54,75,157,225,232,231,230,230,216,219,221,223,226,223,155,144,145,133,121,117,112,101,94,85,75,67,61,54,50,49,44,118,238,231,232,232,218,220,221,223,228,229,162,143,140,130,122,117,110,98,90,82,72,64,58,53,49,51,43,155,240,235,233,233,216,219,221,223,225,231,165,145,139,130,128,119,107,94,86,80,72,63,57,52,50,42,114,240,236,235,234,234,216,218,220,222,225,229,168,140,140,128,126,118,103,90,81,77,70,63,57,53,49,55,210,239,236,235,234,234,216,219,221,224,227,230,167,139,136,128,121,112,99,88,81,78,71,63,57,51,44,99,241,235,236,234,235,234
20,173,176,181,183,187,189,191,192,193,195,196,194,193,193,194,190,193,178,188,190,187,187,186,183,182,181,180,179,174,178,183,186,189,191,194,195,196,197,198,198,196,196,194,197,209,137,152,194,190,187,187,185,184,185,182,181,175,180,183,187,190,193,195,196,197,198,199,198,197,197,195,205,210,132,115,168,147,190,188,187,187,186,184,182,178,182,185,188,192,195,196,199,200,200,201,199,199,199,195,210,203,125,120,180,104,176,195,189,189,187,186,185,180,183,188,191,194,196,198,202,203,201,203,204,202,201,196,222,210,128,125,181,108,165,198,191,192,189,188,187,181,186,188,191,195,198,200,203,203,202,204,205,204,204,199,231,203,127,135,182,116,166,201,192,193,191,190,187,183,188,190,194,196,199,202,203,203,205,205,205,205,203,207,223,177,114,165,196,124,159,204,194,194,193,190,189,185,190,193,195,198,201,202,205,205,206,207,206,210,208,218,219,168,97,172,186,117,158,206,195,196,195,193,190,186,191,195,197,200,203,204,207,207,208,209,208,188,172,229,220,160,96,183,178,107,165,206,197,197,197,195,192,188,192,195,198,202,204,206,207,210,211,209,219,183,111,204,197,114,123,208,174,109,176,209,200,199,198,196,194,190,194,197,200,203,206,207,209,212,212,219,232,195,146,151,115,72,144,193,158,102,188,208,200,199,199,197,196,191,195,197,202,205,207,211,211,213,210,181,202,217,182,129,102,85,139,154,123,103,205,204,203,203,202,200,198,193,196,200,204,207,209,212,211,227,221,152,154,223,171,159,151,143,149,116,97,134,218,204,205,204,203,201,199,193,197,203,205,208,211,211,219,243,232,176,159,192,183,178,163,174,160,95,77,172,217,206,206,205,204,202,200,196,199,204,206,210,213,210,233,228,236,177,149,209,193,159,158,160,139,110,70,181,218,208,208,206,204,204,203,197,200,205,208,210,213,213,248,221,208,192,126,175,164,87,91,159,151,131,77,175,221,209,209,207,205,206,203,198,202,206,210,213,213,222,241,201,192,193,104,76,79,56,55,155,189,145,95,117,221,210,210,209,208,205,204,199,203,206,210,214,216,220,252,236,214,177,147,100,56,100,177,189,198,163,115,75,185,219,210,211,209,207,205,199,204,208,211,214,215,223,254,243,211,170,188,120,88,199,233,211,180,158,118,83,172,223,211,211,211,209,205,200,206,210,212,215,217,224,254,246,202,167,153,104,159,236,211,186,172,125,116,86,197,219,213,213,211,209,206,202,206,211,213,216,218,224,252,240,202,197,141,159,242,222,185,158,171,121,91,102,223,215,215,214,213,210,209,203,207,212,215,219,220,224,248,238,212,204,149,201,241,207,185,166,162,139,69,143,231,216,216,216,213,212,209,203,208,212,216,219,221,224,238,233,214,204,155,191,217,193,180,155,141,120,71,200,224,217,218,216,214,212,210,204,209,213,217,217,223,227,237,232,216,196,157,155,181,170,153,131,125,76,133,233,218,220,219,217,215,213,211,203,207,212,214,226,201,96,184,228,212,163,128,131,144,163,141,117,82,82,218,225,221,220,219,218,216,213,211,202,205,209,219,212,104,61,76,163,179,140,133,141,145,168,133,98,67,183,231,219,221,220,219,217,214,212,210,203,207,213,217,114,65,79,67,76,138,157,150,144,145,154,118,68,150,237,221,222,221,220,218,217,214,213,210,203,206,221,137,72,82,66,71,65,72,118,129,133,131,119,89,91,223,227,224,223,221,220,219,218,216,214,212
22,186,187,188,186,188,189,188,188,187,189,189,188,187,185,184,181,183,183,181,178,177,176,174,172,169,167,164,161,191,191,191,191,192,193,193,191,191,192,198,194,190,189,191,192,186,186,183,182,182,181,177,175,173,171,169,166,195,195,195,196,197,196,196,195,195,198,160,188,197,194,180,168,192,189,187,187,184,183,181,178,179,178,171,170,197,198,200,200,200,200,201,200,198,196,129,146,207,197,194,110,179,196,191,191,190,187,183,186,148,160,179,172,201,201,203,203,202,203,203,203,201,194,154,109,207,198,204,110,152,205,193,193,192,189,187,196,119,111,189,173,204,204,207,208,205,206,208,206,204,203,177,91,192,204,205,110,127,211,195,196,193,190,195,190,98,123,192,179,206,208,210,211,209,209,211,209,210,203,180,85,170,214,207,118,115,211,198,199,198,193,202,170,84,150,193,181,211,212,211,212,212,212,213,212,213,209,193,114,137,222,213,132,104,210,202,204,199,198,208,145,83,182,188,184,214,213,213,215,215,216,215,213,214,214,207,144,108,221,215,121,90,209,205,205,200,207,200,124,104,202,189,187,217,216,216,217,218,217,218,217,218,218,213,158,79,209,219,116,88,206,210,207,203,205,175,88,146,205,191,191,218,219,219,219,220,219,218,219,220,220,212,180,84,167,228,133,92,203,215,208,206,194,141,73,193,199,193,192,220,220,220,220,221,220,220,221,220,223,205,188,137,104,218,141,88,201,220,211,213,200,112,114,215,197,198,195,223,222,222,222,222,222,222,223,222,224,215,195,169,123,180,143,108,169,222,216,208,178,88,172,214,201,201,200,225,225,225,225,224,225,225,225,224,226,226,200,197,211,203,180,188,113,118,199,199,135,91,211,207,203,202,199,227,227,227,227,227,227,226,226,227,227,230,213,201,181,168,172,185,120,72,84,128,83,138,225,206,205,204,200,228,228,228,228,227,228,229,229,230,228,229,224,214,150,56,99,175,142,108,94,95,49,183,221,211,209,206,203,229,230,230,230,229,229,230,230,230,230,229,225,201,125,70,41,118,151,128,120,116,42,191,223,213,212,209,206,231,231,231,231,232,231,231,232,232,231,231,221,198,161,110,55,50,61,98,121,91,35,142,233,212,214,209,208,234,233,235,234,235,235,235,235,236,235,233,215,203,171,102,59,67,69,102,163,126,65,73,226,214,214,211,210,235,235,236,236,236,237,236,237,238,238,234,213,203,156,103,73,75,111,190,201,169,111,35,158,229,213,213,211,235,234,235,236,236,236,237,237,238,237,235,216,205,175,124,80,82,152,217,226,196,155,48,111,235,212,214,211,235,234,236,236,235,236,237,237,237,236,236,213,203,183,134,80,94,178,223,218,191,138,41,131,232,210,212,211,236,236,237,237,237,238,238,238,239,238,238,208,195,200,140,88,106,199,227,198,158,111,29,173,225,211,212,208,238,238,238,238,239,239,239,240,240,239,239,203,190,194,143,92,105,211,210,175,130,94,47,207,221,214,215,220,237,238,238,237,237,238,239,239,239,239,241,202,183,181,144,89,92,192,190,170,119,70,68,222,219,227,214,145,244,247,248,248,248,249,251,250,250,247,252,220,181,182,143,97,94,184,186,155,100,38,113,247,214,157,82,24,151,156,161,169,174,178,184,186,191,198,205,202,182,173,141,117,90,170,177,130,76,30,150,159,73,27,24,21,94,93,94,96,94,93,94,92,91,95,93,109,189,174,140,120,82,127,135,85,47,28,48,31,6,19,32,13
20,184,187,191,195,199,201,203,207,208,209,211,212,213,213,215,215,217,213,217,214,215,213,214,213,213,212,211,210,185,189,194,198,201,203,205,208,210,212,213,214,215,216,217,216,247,187,198,215,216,217,215,215,215,214,213,213,188,191,195,200,203,206,207,211,212,214,215,216,218,220,219,218,255,177,197,202,189,225,217,218,218,217,215,215,190,193,196,201,206,206,209,212,213,215,217,219,220,220,220,222,255,183,218,217,163,227,221,221,220,220,219,217,190,195,198,202,207,208,212,215,216,217,219,221,222,223,220,225,255,200,216,236,160,222,224,223,222,221,220,219,192,197,200,204,208,210,213,216,219,219,221,223,224,227,222,230,255,200,220,253,169,217,228,226,226,225,223,222,194,199,202,206,209,212,216,219,220,222,223,223,224,224,222,240,255,194,234,249,169,213,231,228,227,226,225,223,197,201,204,208,212,215,217,220,222,223,226,228,228,241,226,241,255,192,241,244,163,213,233,229,229,228,227,225,198,203,206,211,214,216,219,221,224,226,227,221,248,255,253,188,212,192,241,241,165,219,234,232,231,230,228,227,199,205,209,213,215,218,221,222,226,227,232,255,248,231,241,193,146,155,218,221,168,225,237,234,231,231,230,229,201,206,210,213,217,220,224,225,228,224,255,255,255,202,218,224,213,180,167,189,163,229,237,235,233,233,232,231,204,207,211,215,219,223,226,226,229,228,255,221,213,246,179,226,254,214,147,152,156,234,236,236,235,234,234,233,205,209,213,217,220,224,227,228,231,228,255,209,144,159,127,158,244,228,169,138,147,233,239,238,238,236,236,235,206,210,214,218,222,226,228,230,232,233,255,216,199,163,142,132,210,255,205,143,141,235,242,240,239,238,237,237,207,212,215,220,224,227,229,232,234,236,255,253,203,168,159,162,184,255,236,165,131,232,244,242,241,239,239,239,209,212,216,221,224,227,231,234,234,238,255,237,184,165,170,184,211,255,255,190,135,223,247,242,243,240,240,239,211,214,218,223,226,229,232,234,234,239,255,242,199,184,188,197,249,255,252,205,143,222,248,242,244,242,242,242,213,216,219,224,228,230,234,236,238,240,255,255,215,193,204,222,255,255,240,202,146,220,252,246,245,244,243,243,213,217,221,225,229,232,234,238,240,242,255,255,230,198,216,245,255,255,236,196,149,221,255,247,246,245,245,245,213,217,221,225,227,231,234,238,240,239,255,255,234,214,218,255,255,255,231,191,144,217,255,246,246,246,246,246,213,218,222,226,227,232,235,238,240,239,255,255,239,236,223,255,255,247,223,185,137,214,255,248,247,245,245,245,214,219,223,226,229,234,236,239,241,239,255,255,251,251,236,252,255,236,215,182,130,215,255,248,249,247,245,244,214,219,222,226,231,234,237,239,242,242,253,255,255,255,243,228,246,215,207,171,128,223,255,250,250,249,248,247,214,220,224,228,232,234,236,240,242,244,247,255,255,250,223,207,221,202,207,166,133,244,254,250,251,248,253,251,216,221,225,229,232,234,237,240,246,255,248,255,255,230,195,184,209,202,199,144,162,255,251,253,252,255,240,176,212,218,223,229,233,237,240,249,231,141,118,255,247,211,184,177,219,197,183,121,207,255,255,255,255,239,159,132,170,172,174,177,179,184,185,192,181,112,56,219,255,221,184,192,236,174,151,101,93,196,225,223,219,153,121,123,137,135,139,141,143,141,140,142,157,163,122,151,231,209,188,208,227,147,126,78,64,116,143,149,158,135,111,100
5,129,130,132,134,138,138,138,138,139,138,137,138,138,135,136,135,135,133,132,131,128,127,126,124,123,122,122,119,132,134,136,137,140,140,140,141,140,140,139,138,143,140,138,137,137,137,134,133,130,130,129,127,126,124,122,121,133,137,139,140,141,143,142,142,144,143,142,153,102,131,143,140,139,140,138,135,133,132,131,130,128,127,125,124,138,138,140,142,144,145,145,150,147,144,149,166,63,98,152,141,141,140,138,136,136,134,133,133,130,129,129,126,140,141,141,144,143,154,147,106,155,144,159,161,44,101,153,143,144,142,141,140,138,137,137,134,133,132,128,127,142,143,144,149,143,173,126,54,154,146,164,127,34,132,153,147,147,145,142,143,143,140,139,137,136,135,132,129,143,145,149,147,151,182,77,62,160,151,151,100,46,153,150,151,148,143,158,112,123,147,140,140,139,136,134,132,145,147,151,147,169,151,27,124,165,143,125,76,62,159,154,148,145,162,150,54,95,155,143,143,140,139,136,136,147,148,153,147,190,144,31,154,162,126,106,40,97,168,133,133,141,119,53,62,141,149,147,146,142,140,137,137,150,151,153,153,206,128,36,157,155,117,91,27,139,108,115,145,80,29,85,146,152,148,149,147,144,141,140,138,151,154,155,162,203,85,36,175,126,122,97,44,71,63,97,76,32,106,167,152,151,150,149,148,146,143,141,140,152,156,159,160,192,159,41,124,110,108,73,29,33,52,21,49,125,163,155,155,153,151,150,150,148,146,143,140,156,160,164,160,185,185,82,42,67,73,38,19,52,35,48,160,165,157,157,157,154,152,152,151,150,148,145,142,159,161,165,164,176,184,140,76,56,60,29,16,52,37,137,174,160,160,158,158,157,154,154,152,152,150,147,144,162,164,166,167,169,211,186,121,55,38,39,35,30,122,166,140,146,165,166,163,161,158,156,154,153,151,148,147,164,166,169,170,171,212,184,111,48,28,25,40,42,93,94,106,115,121,135,144,153,164,159,155,155,152,150,148,166,167,171,172,180,209,171,101,33,20,18,40,47,59,105,113,151,142,139,144,146,95,145,163,156,154,152,149,169,170,174,169,193,208,182,113,42,12,13,39,51,46,71,38,87,119,113,134,131,71,126,170,156,156,154,152,170,172,175,172,208,201,178,103,49,16,12,27,27,18,48,54,129,132,108,132,168,104,93,172,157,157,154,153,171,176,172,189,206,190,173,98,49,11,2,17,5,110,180,172,184,178,166,176,124,53,156,167,162,160,156,153,174,176,173,208,197,192,169,100,39,9,7,28,39,54,145,193,168,128,132,148,36,101,183,164,166,162,160,157,174,175,183,215,192,188,158,75,30,4,23,34,47,55,62,115,125,141,132,88,0,146,177,168,167,163,161,159,178,170,213,209,185,186,136,58,29,15,50,71,83,79,56,71,118,131,106,23,41,173,174,172,169,166,163,162,177,51,95,197,200,167,115,59,30,35,67,84,87,69,62,64,105,77,31,82,172,177,175,175,170,167,165,162,76,9,3,47,152,154,106,69,31,43,77,73,65,43,58,42,19,45,138,189,179,177,178,175,169,167,166,163,22,14,12,1,9,61,84,42,13,26,58,54,43,31,20,4,72,178,192,181,180,179,177,175,173,169,168,167,26,8,2,7,1,0,0,0,0,0,8,23,14,0,80,161,197,188,183,185,185,182,179,176,174,170,168,168,11,2,0,0,0,1,0,0,0,0,0,0,0,109,203,195,188,188,187,186,185,183,180,176,175,172,168,168
16,107,109,114,120,133,145,153,161,168,171,172,175,181,187,191,197,199,201,203,206,209,210,212,214,215,215,218,220,107,110,115,122,134,146,156,163,169,172,173,176,183,189,191,195,199,203,205,207,209,211,213,215,217,217,217,220,108,111,117,122,135,147,157,165,170,172,174,179,184,189,192,197,200,204,206,209,209,212,214,217,218,218,220,221,108,113,116,122,137,148,157,164,171,174,177,181,185,189,195,198,201,204,205,208,211,214,216,218,218,219,220,221,108,113,116,123,139,152,161,167,173,176,179,182,190,196,196,202,208,207,208,211,214,216,219,219,219,221,221,221,109,114,117,126,141,154,165,167,172,177,178,176,178,171,157,148,163,209,211,211,217,219,220,220,222,224,224,224,111,115,119,129,143,154,158,169,182,175,159,143,130,114,105,108,99,124,207,220,217,220,223,224,225,225,226,227,112,116,118,131,142,152,175,196,186,157,121,116,114,100,91,102,114,88,111,212,224,220,226,228,228,228,229,229,112,117,122,126,142,186,205,171,139,113,91,107,109,95,89,101,107,95,95,115,228,223,227,229,228,229,231,230,114,119,109,150,189,180,134,117,110,95,90,111,109,92,95,105,104,95,118,77,153,240,225,230,230,232,233,232,112,111,162,204,156,117,94,99,98,78,103,119,105,94,106,107,94,106,115,99,84,220,230,229,233,236,236,236,105,213,230,150,110,95,82,81,116,153,113,94,66,96,116,102,72,112,112,98,72,142,248,231,236,236,236,237,140,255,174,129,97,76,103,152,236,235,133,66,70,73,105,83,60,125,108,92,88,68,187,245,234,236,238,238,118,195,142,104,101,167,249,243,251,220,156,87,78,73,61,36,74,134,102,107,107,96,89,200,245,236,239,241,111,122,126,113,225,251,247,233,249,211,159,108,86,77,25,6,84,132,101,117,121,120,100,106,243,241,242,242,118,119,121,150,255,225,248,240,244,193,141,111,104,92,81,17,62,122,100,114,127,111,100,73,197,253,241,243,117,123,114,175,255,228,255,242,221,160,105,110,116,105,98,69,36,98,110,166,147,101,87,65,142,255,241,245,118,122,112,212,255,224,255,238,193,132,116,123,126,120,100,87,41,56,174,216,211,185,141,62,143,255,242,246,120,124,113,223,255,219,223,210,137,101,105,132,126,109,102,91,79,60,205,238,239,239,234,173,184,255,246,249,118,122,116,191,255,218,152,139,91,88,99,106,101,91,86,82,103,79,196,248,241,245,249,232,167,194,255,248,118,120,125,152,233,150,106,97,97,109,116,104,82,78,84,75,82,66,157,255,233,241,241,210,155,128,255,249,119,119,129,143,171,116,95,117,110,93,84,79,69,65,69,65,83,107,115,199,225,224,222,191,125,164,255,250,120,122,130,147,160,160,103,100,79,104,108,117,108,80,66,93,107,117,104,84,115,179,194,167,184,250,255,253,120,121,131,147,168,153,88,89,75,84,178,138,105,94,74,58,58,46,44,44,11,119,255,245,255,255,254,255,119,121,131,147,167,127,91,83,87,66,39,70,43,26,14,9,9,12,11,15,0,83,255,252,254,255,255,255,119,122,131,152,154,106,89,80,74,91,31,0,30,26,16,8,8,9,10,12,0,193,255,250,255,255,255,255,118,121,131,153,133,95,85,76,72,76,69,0,17,29,17,9,8,8,11,1,36,252,253,254,255,255,255,255,117,122,132,149,106,87,83,74,68,73,80,6,0,22,16,10,8,7,12,0,104,255,251,255,255,255,255,255
16,98,109,116,121,126,133,139,145,149,153,155,160,165,167,171,173,175,176,177,179,180,180,181,182,183,183,184,183,102,113,120,124,129,136,143,149,153,155,158,164,168,171,174,178,179,179,184,185,185,186,185,187,187,186,187,187,105,117,123,127,133,140,147,152,157,160,163,167,171,175,178,182,184,181,177,174,178,186,192,191,189,190,191,190,107,119,124,129,136,143,149,155,158,163,165,169,173,178,182,178,166,155,142,124,117,118,140,182,196,193,194,195,110,122,127,132,138,146,153,160,163,168,172,175,176,171,160,148,142,146,134,114,104,93,74,92,168,197,196,197,112,124,128,134,141,148,155,162,164,167,166,158,151,145,140,143,136,128,121,96,94,97,73,59,84,188,202,200,113,125,130,134,143,151,158,161,177,169,150,126,134,135,145,130,120,123,102,79,79,80,68,67,57,145,209,201,116,127,133,138,147,154,159,175,200,182,184,127,145,164,147,112,121,107,88,74,72,69,65,66,58,122,209,203,119,129,134,140,149,156,163,183,176,180,180,139,178,181,109,105,104,78,76,68,64,63,67,69,58,142,211,207,123,132,137,143,151,157,167,162,168,191,162,154,200,173,111,101,81,67,65,64,63,60,64,69,66,174,213,210,125,135,140,145,152,159,168,166,176,197,175,170,195,152,136,117,86,63,59,62,63,62,64,60,97,202,212,212,126,137,142,146,154,162,169,174,175,193,186,171,189,167,144,111,82,63,57,60,64,65,65,57,134,215,215,215,128,139,142,148,157,166,172,177,171,193,187,183,186,160,120,85,68,54,58,63,67,67,64,62,171,220,214,217,131,139,142,150,159,168,175,181,177,190,194,190,166,131,88,63,41,37,62,72,67,67,63,73,199,219,215,218,133,142,144,152,160,168,176,181,183,190,195,177,138,97,63,19,2,44,67,75,69,67,57,91,217,218,218,220,137,144,147,154,164,171,177,183,186,183,179,147,107,80,18,0,0,45,70,84,81,72,50,111,225,217,219,219,138,145,150,157,166,172,178,184,189,174,154,117,90,56,0,0,0,31,65,87,91,72,46,132,232,219,221,221,138,147,151,157,168,173,180,186,191,177,133,95,74,37,9,0,14,15,54,95,92,68,50,146,233,220,223,223,141,147,151,159,169,175,182,187,194,173,111,65,52,54,50,30,29,37,69,103,81,70,53,157,234,222,225,225,145,148,152,161,170,176,183,188,193,166,90,85,67,42,52,47,47,88,91,108,75,70,54,173,236,225,226,227,145,149,153,163,172,179,183,193,185,137,67,195,201,127,93,68,106,109,103,104,70,69,54,180,236,224,226,227,145,148,154,163,171,178,181,179,161,80,124,218,208,207,182,144,116,111,125,103,63,66,49,171,238,225,230,231,145,148,154,163,173,178,177,168,114,74,200,208,207,194,172,141,108,129,139,107,63,62,49,143,247,233,227,222,144,150,155,164,171,185,191,146,63,162,214,207,205,195,167,143,110,140,147,110,65,59,60,72,115,94,128,174,145,149,156,161,181,216,159,70,125,206,201,208,203,192,163,141,110,137,155,118,57,61,65,47,27,29,98,123,147,149,155,159,204,160,88,138,204,198,204,205,200,189,166,143,110,115,157,134,61,61,62,53,27,66,61,51,146,150,156,165,178,141,170,200,195,201,204,207,197,186,164,141,112,95,142,149,77,59,60,44,0,39,57,46,146,151,158,167,175,188,191,191,197,201,204,208,194,184,166,135,107,95,103,137,97,61,61,31,0,24,57,39
21,77,84,91,105,119,127,134,137,141,144,145,148,152,154,158,159,161,162,164,165,166,166,167,167,168,167,168,168,78,85,94,108,121,129,134,138,142,145,147,150,153,155,153,162,163,165,165,166,168,169,169,169,169,169,169,169,81,87,94,111,123,130,136,140,144,146,149,151,162,166,100,154,168,166,168,168,170,171,171,170,171,171,171,171,81,89,96,112,124,131,137,142,145,147,151,150,172,168,94,148,173,167,168,171,172,172,171,171,173,173,173,173,82,89,99,115,125,132,138,142,147,150,154,152,173,166,100,144,173,170,171,171,175,175,175,177,177,175,174,174,83,91,100,116,125,135,139,143,148,151,154,153,176,174,106,142,176,170,173,172,176,178,172,163,177,176,176,176,84,93,102,118,127,136,141,145,149,151,155,154,177,174,111,135,179,172,176,175,176,177,148,101,162,182,178,179,86,94,105,121,128,137,142,146,151,151,155,155,177,172,113,123,180,172,177,176,180,167,124,106,178,181,179,179,88,94,105,121,129,136,143,148,152,152,157,156,183,175,113,121,181,172,177,181,179,148,101,157,188,180,181,180,89,95,108,124,131,138,144,149,152,153,157,158,191,179,121,127,182,174,178,177,160,120,126,189,182,183,182,181,89,96,111,124,132,140,145,149,151,154,168,145,175,162,116,123,182,175,181,173,139,102,173,186,183,184,184,183,90,97,112,125,133,140,146,151,152,162,165,121,123,122,102,124,183,176,181,166,108,137,192,182,185,185,184,185,92,98,113,125,133,141,147,150,163,180,132,119,92,89,91,126,165,166,167,128,104,183,185,186,186,186,185,185,92,98,115,126,134,141,147,151,186,193,166,143,97,73,89,116,144,145,131,90,155,191,184,186,186,186,186,185,92,100,117,127,135,142,146,160,191,200,204,141,100,75,84,105,121,127,95,115,191,185,187,187,187,187,188,187,93,101,117,127,135,143,146,166,174,165,173,127,95,83,82,96,107,108,89,173,190,187,187,188,187,188,188,188,94,102,118,128,135,144,146,185,173,115,136,143,106,87,82,87,96,81,121,195,185,188,189,189,189,188,189,188,95,103,120,128,137,142,152,186,140,110,120,156,117,92,85,81,88,77,147,195,187,189,189,189,189,190,190,189,94,104,122,128,137,139,165,185,148,144,138,174,133,114,93,81,84,78,154,195,189,190,190,189,189,190,191,189,95,106,120,128,139,139,176,188,168,136,176,202,138,129,99,79,82,81,168,192,189,190,192,192,192,191,191,190,95,107,123,129,140,140,184,200,162,145,210,179,134,125,98,80,80,86,183,192,190,190,191,192,192,192,191,191,96,108,122,129,139,140,192,190,150,161,197,161,130,115,106,85,74,107,195,189,190,190,191,192,192,192,192,192,96,107,122,129,141,141,185,171,161,161,194,157,148,112,94,87,72,140,196,189,191,191,192,193,193,193,192,192,95,109,123,132,142,144,169,177,180,159,197,149,142,116,87,84,75,164,195,189,191,191,192,193,194,193,192,192,95,111,124,132,140,145,161,198,170,155,185,135,120,98,84,79,84,178,192,190,192,193,193,194,194,194,193,193,94,111,124,131,139,146,158,189,166,147,162,127,106,94,85,71,99,189,189,192,193,194,195,195,195,194,194,194,92,109,120,130,138,147,153,170,155,149,152,135,120,102,87,66,111,193,186,189,191,192,193,193,193,193,194,193,93,109,119,130,138,147,152,163,160,155,152,147,134,104,85,62,118,193,184,188,191,191,192,192,193,193,194,193
4,145,145,144,145,144,143,143,142,141,140,140,139,139,138,139,138,132,132,131,131,131,131,129,129,127,124,124,122,146,145,145,146,146,144,144,145,144,145,144,143,140,137,126,127,140,134,133,132,132,131,129,130,128,124,124,122,147,148,147,147,146,146,145,145,142,124,113,126,139,133,99,66,93,144,136,134,138,132,131,129,128,127,125,124,149,149,148,146,147,148,147,148,147,134,124,100,91,97,117,96,56,99,107,79,89,132,133,131,130,129,127,125,150,149,148,148,148,149,147,142,143,137,135,130,102,62,62,102,89,51,48,67,30,88,143,130,131,129,129,127,151,150,149,150,150,149,138,128,127,112,70,72,111,61,21,76,85,53,21,59,47,45,139,132,131,129,127,126,151,151,152,151,151,150,148,149,132,114,73,30,84,64,21,51,68,34,28,71,61,30,123,136,130,130,129,127,152,153,152,153,151,153,128,104,90,123,84,38,63,87,59,49,59,20,38,76,57,30,123,136,131,130,129,128,153,154,153,153,152,155,138,85,32,85,118,71,71,98,111,91,65,60,58,68,79,45,123,137,132,131,130,129,153,154,153,154,153,155,137,89,23,6,115,91,58,75,100,104,66,73,71,67,86,37,85,146,132,132,131,130,155,156,156,155,153,153,114,70,53,44,38,55,38,32,37,77,72,65,64,64,59,41,45,141,134,133,132,131,157,156,156,156,153,151,127,115,90,60,27,21,38,31,29,33,61,66,56,49,60,62,26,120,140,134,132,130,157,157,156,156,156,152,133,118,84,51,27,30,34,39,55,40,25,18,52,79,90,73,27,83,146,133,131,130,157,157,158,157,157,153,142,108,71,42,26,28,39,59,60,58,52,57,78,105,95,79,50,48,144,133,133,131,157,159,159,159,155,155,132,100,72,41,28,37,49,62,73,71,92,118,107,84,118,105,72,30,126,139,134,133,159,159,159,159,156,155,142,119,87,54,35,40,48,75,89,91,104,120,129,114,105,105,73,20,108,143,134,133,159,160,160,160,159,153,141,120,93,59,33,36,58,80,93,108,113,127,125,115,99,76,58,17,115,142,134,133,160,160,159,160,160,150,139,129,105,73,45,40,47,78,102,115,126,132,122,101,89,65,29,37,143,138,136,134,160,160,159,160,160,146,133,135,114,86,62,44,40,83,114,125,137,133,116,93,77,55,9,92,147,136,136,135,160,160,159,160,160,146,128,131,115,90,69,52,45,82,124,129,134,124,105,84,67,38,26,141,140,139,137,136,160,160,161,161,162,145,126,123,114,97,75,58,55,87,130,124,120,112,92,73,59,18,80,153,138,139,136,135,160,161,163,161,164,146,123,121,122,105,79,71,62,91,123,118,112,98,80,64,43,21,133,146,141,139,137,136,161,161,162,162,162,154,127,124,123,109,85,78,62,94,116,112,107,87,64,53,14,68,156,142,143,139,138,137,162,163,162,162,163,162,136,129,131,114,94,78,60,87,112,104,95,73,53,32,19,137,148,144,144,140,139,138,162,163,162,163,163,162,141,139,131,112,99,83,63,74,97,89,75,54,41,5,99,157,145,144,143,142,139,137,163,163,163,163,164,160,149,142,128,114,101,86,69,67,80,74,56,43,9,57,156,146,146,144,143,142,139,138,163,163,163,163,165,161,150,142,124,111,98,85,78,68,68,66,49,26,15,141,151,147,146,144,142,141,140,138,163,163,163,163,165,155,148,137,126,117,111,101,93,76,62,60,42,9,76,161,148,149,146,144,143,142,140,138
7,139,142,144,146,149,150,153,153,156,158,159,160,162,163,164,164,165,165,166,167,166,166,167,167,167,167,165,165,139,143,146,147,149,152,153,155,158,159,160,162,163,163,164,165,165,166,167,167,168,168,168,168,168,168,167,167,142,144,146,148,151,152,154,155,158,158,159,162,163,164,164,165,166,167,167,168,168,168,168,168,168,168,167,167,143,145,147,150,153,154,156,158,159,160,163,162,163,166,166,165,166,167,168,169,169,169,169,169,169,169,169,167,144,146,149,152,153,156,158,160,160,161,164,165,165,166,166,167,167,167,168,170,170,170,170,170,170,170,170,167,145,147,150,153,155,157,159,161,163,165,167,168,167,167,168,169,171,171,170,170,171,172,172,169,172,172,170,168,145,147,150,153,155,158,159,162,164,165,168,168,168,170,172,167,160,162,168,166,163,157,155,178,146,165,175,170,146,149,151,154,156,159,161,164,165,166,168,169,169,165,156,148,145,133,136,142,147,137,133,153,112,156,169,166,150,151,152,155,158,160,160,163,163,161,163,165,170,161,152,153,149,127,134,134,140,136,132,129,121,148,151,126,150,152,154,157,159,162,162,168,145,139,149,158,164,155,149,144,130,127,122,112,116,119,112,110,107,106,107,137,150,152,155,158,160,159,176,165,130,136,142,136,125,114,114,112,103,97,100,112,113,113,117,123,131,141,155,178,151,152,156,160,158,177,183,163,150,131,122,106,92,78,88,116,119,142,171,178,177,176,178,183,183,184,181,177,151,155,158,156,175,189,175,176,166,121,112,115,119,117,112,121,147,184,183,180,181,181,181,178,177,177,179,179,153,156,155,170,190,179,178,173,151,126,118,109,114,120,113,94,79,112,185,180,181,181,181,180,181,181,180,181,154,153,165,184,182,177,170,155,143,133,120,93,86,104,110,108,98,87,180,184,182,183,183,183,182,181,182,182,149,161,185,183,171,161,156,148,141,133,119,95,78,80,84,86,91,95,183,184,184,184,184,183,183,182,183,182,159,183,181,174,165,155,152,150,148,143,126,100,94,97,81,62,64,96,191,185,184,184,184,184,183,183,183,182,182,178,167,166,163,154,154,148,144,139,128,111,104,102,96,89,78,83,168,191,184,185,186,186,185,185,184,182,174,169,166,162,155,152,146,138,141,138,120,104,99,96,99,94,88,56,67,161,192,185,187,187,187,187,185,183,170,167,159,158,155,151,136,137,144,125,102,87,71,59,82,90,88,64,64,134,197,185,187,187,187,187,185,185,166,163,155,152,144,139,146,142,121,102,90,63,54,51,45,84,90,73,119,182,189,187,188,188,188,188,187,187,164,160,151,140,144,147,142,122,104,93,78,58,64,60,60,79,84,160,195,191,189,188,188,188,188,188,188,189,152,149,136,141,146,136,120,105,96,79,81,102,116,125,80,97,168,194,188,190,190,190,190,189,189,189,189,188,130,130,127,127,122,112,103,90,78,97,162,189,191,197,170,175,196,189,191,192,192,191,192,190,189,189,188,188,114,108,103,101,101,91,86,94,134,180,189,185,186,187,193,193,189,192,192,192,192,192,192,190,189,189,189,189,110,93,86,82,70,88,144,175,188,182,183,187,187,189,188,191,192,193,193,193,193,193,192,190,191,190,190,190,109,89,74,70,121,166,186,181,181,182,186,189,189,190,191,192,193,194,193,193,193,194,194,193,193,191,190,191,110,91,71,77,178,180,177,181,184,184,187,190,190,191,193,193,194,195,195,194,194,194,194,194,194,193,192,192
22,165,167,169,172,177,179,181,184,185,186,185,191,191,191,189,187,194,191,194,195,193,194,194,194,194,194,193,192,167,169,173,175,178,181,184,186,190,191,141,177,198,194,202,138,178,201,184,185,199,197,196,196,197,196,195,194,169,171,175,177,180,184,187,188,194,185,117,168,202,200,211,123,168,211,179,130,200,199,198,198,200,200,199,198,171,174,177,180,184,187,190,190,199,182,103,171,203,207,208,130,177,214,183,118,195,204,201,201,202,203,202,201,174,178,179,182,186,189,192,192,204,185,106,173,205,211,201,133,186,217,182,120,195,206,203,204,205,205,205,203,175,178,181,184,187,191,195,194,206,199,110,171,208,213,187,130,191,217,186,129,199,208,206,206,207,206,205,205,177,180,183,187,190,193,198,198,209,209,114,164,211,213,173,129,193,218,180,131,206,210,209,208,208,207,208,208,179,182,185,189,192,196,200,199,212,210,113,162,220,201,157,132,196,219,180,132,209,212,211,211,211,210,211,210,181,184,187,191,194,198,201,201,208,223,140,152,211,185,155,129,203,221,178,135,214,212,211,212,213,212,213,212,183,186,189,191,196,199,201,203,208,218,176,149,134,158,169,133,211,223,170,142,221,211,213,214,214,213,214,214,184,188,191,194,198,201,204,205,210,220,195,175,158,146,150,148,220,217,158,153,225,213,216,217,217,216,216,215,185,189,192,195,198,203,207,205,218,232,207,195,210,191,131,141,212,204,148,169,226,216,218,217,217,218,218,218,187,190,193,197,200,204,207,210,210,185,205,140,198,197,150,104,157,167,122,185,226,218,219,219,218,219,219,218,189,192,196,198,201,206,208,212,215,187,187,114,110,197,182,130,104,127,108,199,226,219,219,221,220,220,219,219,190,193,197,200,203,207,207,217,220,172,174,149,73,139,211,167,115,99,109,214,224,221,221,221,222,222,221,221,191,195,197,201,205,208,209,222,219,177,153,134,104,121,226,197,146,110,109,220,225,223,224,224,224,224,223,223,192,196,198,202,204,210,209,229,225,177,136,127,115,196,228,195,159,129,112,222,226,223,224,226,226,226,225,225,193,196,198,202,205,209,211,231,216,174,148,150,159,235,220,180,150,122,114,225,226,225,225,226,227,227,226,225,195,197,200,203,206,211,212,225,212,172,169,145,186,233,203,170,135,106,137,234,225,228,226,227,227,228,228,227,195,198,202,205,207,212,213,222,208,169,168,148,204,233,188,157,131,101,154,240,226,229,228,229,229,230,229,228,193,198,202,204,208,212,215,219,207,170,183,156,212,230,179,147,122,98,162,240,227,230,231,231,231,230,230,229,193,197,200,203,208,210,214,214,207,178,192,159,202,212,172,142,119,94,177,239,228,231,231,231,231,231,230,230,193,197,201,204,207,210,214,213,207,184,191,160,193,195,158,137,115,98,194,234,228,230,231,232,232,231,230,230,195,198,202,206,207,212,215,216,212,185,173,146,175,175,144,136,113,109,217,231,230,231,231,231,232,231,231,231,196,200,204,206,209,213,214,213,211,181,154,145,177,158,145,139,103,152,236,229,231,231,232,232,232,231,231,231,195,199,203,206,210,213,210,216,220,191,171,163,184,146,155,123,105,211,235,230,231,231,232,233,232,232,231,231,196,200,206,209,213,216,208,214,219,199,188,170,176,143,150,98,160,238,228,229,231,232,232,233,232,232,232,232,171,176,182,189,193,195,195,212,197,186,192,167,168,145,127,99,198,234,229,229,231,232,231,232,233,233,232,230
10,85,92,105,122,129,136,140,141,143,145,146,148,148,149,150,149,148,148,147,146,147,146,142,141,140,139,137,134,85,93,106,124,131,137,140,143,145,147,148,150,150,150,151,151,151,150,149,150,136,135,146,143,142,140,139,136,86,94,107,124,132,138,141,144,146,148,150,151,152,153,153,153,153,153,150,156,123,96,149,145,144,141,140,138,87,96,109,126,134,139,144,145,147,149,152,153,153,154,155,155,155,154,152,158,127,89,144,148,145,144,142,140,89,96,110,127,135,140,145,147,148,151,153,154,155,156,157,157,157,156,155,159,124,85,142,152,148,147,144,142,90,97,112,128,136,143,147,148,150,152,154,155,157,157,158,159,159,158,157,160,124,85,143,154,150,149,147,145,91,98,113,130,137,144,148,149,150,154,157,157,158,159,159,161,160,160,158,164,131,87,142,156,151,151,149,146,92,99,113,130,138,144,148,149,152,156,159,159,159,161,161,163,162,161,160,165,126,83,142,158,152,151,149,147,92,99,115,130,139,145,149,151,152,157,159,159,161,162,162,163,165,164,165,149,98,79,144,159,154,153,151,149,93,100,115,131,139,145,149,151,154,158,160,162,162,163,163,164,161,152,167,135,74,85,151,160,156,154,152,149,94,101,116,131,139,146,150,152,155,158,161,162,163,164,167,168,158,130,121,112,77,74,158,159,157,155,153,151,94,102,117,131,140,147,151,153,156,160,162,163,164,164,152,159,167,153,115,76,79,68,144,162,157,156,153,152,95,103,119,132,141,147,151,154,157,161,163,164,168,162,125,103,103,127,88,67,81,65,113,169,157,157,155,153,96,103,120,132,141,148,152,154,157,161,164,162,155,167,142,110,49,55,55,89,93,62,105,170,158,158,156,154,97,103,120,132,142,148,153,155,158,160,166,154,119,128,158,122,67,51,54,109,127,72,98,170,159,159,157,155,96,104,122,133,142,148,153,156,159,161,167,161,145,111,143,130,88,51,59,110,143,86,88,169,161,160,158,156,96,104,122,133,143,148,154,156,159,163,166,146,151,125,118,129,92,49,71,128,142,95,75,161,163,160,158,156,97,104,121,133,143,149,153,156,160,162,170,145,121,115,85,120,102,67,99,141,128,92,72,159,164,161,159,157,97,104,122,134,143,149,154,156,160,163,167,149,117,105,89,113,135,94,114,145,106,77,82,168,164,162,159,157,97,105,123,134,143,149,155,157,160,163,165,166,143,106,101,102,132,95,115,134,100,65,95,172,162,162,160,158,97,105,123,133,142,150,156,157,160,164,163,167,153,127,106,95,133,134,131,119,98,58,109,176,163,162,162,160,95,105,123,133,142,149,154,156,159,163,164,160,152,136,120,108,144,160,133,109,92,57,124,174,163,161,159,158,94,103,121,131,141,148,153,155,158,162,166,153,145,138,129,117,139,151,125,101,84,55,141,170,162,160,158,158,93,102,121,130,140,147,153,155,159,162,165,163,146,142,134,117,129,141,116,92,69,64,162,164,162,161,158,157,90,99,118,127,138,145,151,154,157,161,163,166,154,139,128,113,113,123,104,84,55,101,174,163,162,160,159,158,101,110,126,135,143,150,155,157,160,163,166,168,168,144,123,110,106,115,107,84,57,139,168,160,160,157,155,154,122,125,129,128,123,122,123,122,122,121,120,116,127,152,128,126,118,115,111,80,62,97,101,99,97,97,96,90,95,94,94,94,94,94,95,95,96,95,95,93,102,156,142,136,121,114,100,76,62,85,86,85,84,78,53,37
13,186,188,191,192,192,194,196,197,199,199,199,200,201,201,201,201,201,200,200,200,200,200,200,201,200,199,199,198,187,189,192,193,193,196,198,200,200,200,201,201,202,203,203,203,203,202,201,201,201,200,201,201,200,201,201,201,189,191,194,194,197,199,200,201,201,202,202,203,205,205,205,205,205,205,204,204,202,201,202,203,203,202,203,202,191,193,195,196,198,200,201,202,202,203,204,205,207,207,206,207,207,212,211,199,204,203,204,205,205,205,205,204,194,195,196,198,200,200,202,204,204,205,205,206,207,207,207,207,211,237,220,173,184,210,200,203,207,207,206,206,194,197,198,200,201,203,205,206,206,207,207,207,207,211,209,207,222,242,212,161,180,222,177,161,202,208,208,207,196,198,200,201,202,204,206,207,208,208,209,208,214,239,221,198,232,234,213,152,191,217,171,122,173,210,209,208,197,199,202,203,204,206,208,208,209,210,209,208,229,252,235,201,203,195,172,122,192,210,158,110,154,213,210,210,198,201,203,204,206,208,209,209,210,211,214,222,220,242,244,218,165,116,113,110,187,180,123,96,156,215,212,212,200,202,204,206,208,209,210,211,211,212,233,244,211,199,246,228,178,107,95,131,196,176,135,107,162,216,215,214,202,203,205,207,209,210,211,213,212,220,251,251,229,180,217,225,178,121,76,114,205,226,213,150,170,217,215,216,202,204,207,208,210,212,214,215,213,236,249,252,242,198,166,202,169,119,84,137,209,223,216,179,175,218,217,218,204,206,209,210,211,214,215,215,218,247,240,238,235,195,133,176,187,132,140,224,234,215,196,180,160,214,218,219,204,207,210,211,213,216,216,216,231,253,241,219,205,164,112,150,202,171,218,247,238,215,186,164,149,213,221,220,206,208,211,213,214,215,217,217,235,254,245,220,193,161,119,107,194,230,248,244,233,207,177,146,162,219,221,220,208,210,213,215,215,215,218,219,234,255,247,221,188,175,148,136,232,254,252,242,222,191,164,136,179,224,223,221,209,211,214,216,216,217,218,219,238,255,250,232,214,193,209,224,253,253,248,238,211,184,155,131,191,226,224,223,209,212,215,217,218,219,221,221,240,255,253,242,233,217,226,237,253,248,240,232,204,174,140,132,207,226,225,224,211,214,216,218,219,221,223,221,236,255,254,248,238,225,225,231,249,241,229,224,198,154,125,160,225,226,226,225,213,215,217,219,221,221,224,223,231,254,255,250,236,221,225,231,241,228,218,209,173,130,125,206,230,227,228,227,215,217,218,220,222,223,223,219,218,238,233,222,206,200,212,218,230,218,206,185,142,109,160,230,229,230,229,229,215,217,220,221,222,218,182,171,167,161,147,133,127,123,124,129,137,132,130,125,108,119,213,232,230,230,230,230,215,218,221,222,224,211,153,147,146,138,124,116,110,103,96,90,78,69,65,60,58,80,154,216,232,231,230,230,217,219,221,223,226,219,158,145,144,133,122,117,112,101,94,85,75,67,61,54,50,51,55,129,231,231,232,232,218,220,221,223,227,225,165,144,140,130,122,117,109,99,90,82,72,64,58,53,50,50,54,156,235,234,233,233,216,219,221,223,225,226,168,145,139,130,127,119,107,95,86,80,72,63,57,53,50,47,118,228,236,235,234,234,216,218,220,223,225,226,170,141,139,129,125,117,103,90,82,77,70,63,57,53,50,65,199,237,236,235,234,234,216,219,221,224,227,226,169,140,136,128,122,112,99,88,81,77,71,63,57,51,48,102,231,236,236,235,234,234
11,84,89,95,101,104,108,112,116,118,120,122,122,124,128,127,127,127,127,127,127,127,126,124,128,93,70,110,148,87,91,96,102,106,110,113,116,119,121,123,122,140,113,126,126,127,127,126,126,126,124,122,127,100,86,111,152,90,95,100,106,109,113,116,120,122,124,126,122,159,94,109,132,126,128,127,127,126,124,124,121,112,150,144,147,93,98,105,110,115,118,122,125,127,128,130,127,172,101,87,138,128,129,129,128,127,126,125,119,137,122,145,148,98,102,109,115,119,124,127,131,133,134,135,134,175,97,78,141,134,133,133,132,131,130,129,128,131,102,154,148,101,107,116,121,124,129,133,136,139,140,141,141,174,89,84,147,138,140,139,138,136,135,134,130,133,149,143,148,104,110,120,127,131,134,138,142,145,147,146,151,181,86,91,154,144,145,144,144,142,140,137,135,136,121,109,150,106,114,124,132,136,140,144,147,150,153,148,171,184,64,108,160,149,149,149,148,147,145,143,140,139,130,130,148,110,118,130,136,140,145,150,154,155,158,152,178,166,64,126,165,155,155,155,153,152,150,148,145,144,140,144,154,112,122,133,140,145,149,154,158,160,159,174,177,91,56,135,168,159,159,158,158,157,155,152,151,148,144,147,164,116,125,137,144,149,154,158,161,161,164,163,167,97,56,144,170,164,164,164,163,162,159,157,155,152,148,148,165,119,129,140,147,151,157,161,167,186,182,84,82,118,69,149,173,167,168,168,167,166,163,161,160,156,154,156,165,122,132,143,150,155,158,164,153,174,169,95,59,111,83,133,180,169,170,171,170,168,166,164,162,161,149,136,168,123,134,146,154,156,163,189,136,70,106,131,74,89,83,112,184,172,174,174,173,173,171,170,166,176,94,66,173,126,137,149,153,167,190,178,153,111,66,115,91,65,89,83,181,176,178,178,174,169,157,142,140,136,58,40,72,128,140,149,166,191,153,110,137,152,85,69,81,57,104,77,165,187,179,171,164,169,149,127,125,104,60,47,37,129,143,150,188,176,116,79,70,140,93,54,74,47,120,116,120,172,170,176,175,165,139,113,93,73,51,43,43,132,143,153,185,156,100,73,40,110,100,57,86,40,84,126,71,132,176,178,153,114,83,48,30,40,36,39,42,133,145,152,175,139,89,67,47,80,109,65,100,62,90,117,105,146,159,132,85,57,37,27,30,30,30,32,40,135,147,153,175,157,108,80,62,61,89,84,109,90,155,130,101,121,104,62,28,36,42,27,25,27,28,37,10,134,147,154,180,162,115,92,70,68,80,122,155,160,156,115,89,87,32,26,30,22,38,38,20,19,26,26,5,134,147,154,181,167,132,104,75,82,91,160,188,175,136,97,77,41,26,14,36,23,21,38,32,16,16,16,18,134,147,154,177,167,141,107,84,92,99,166,174,146,114,88,46,3,35,21,17,33,22,24,33,25,14,16,16,138,151,162,171,162,149,114,99,98,102,150,164,130,96,77,43,0,16,36,15,24,31,19,20,29,16,14,15,108,116,121,134,163,152,120,113,99,101,134,151,123,91,54,34,14,1,33,29,15,25,27,15,20,23,8,15,84,84,79,96,162,148,127,119,99,90,123,125,101,67,14,24,28,0,19,33,23,20,23,18,12,22,12,5,90,90,87,102,167,152,132,118,99,83,101,94,71,32,2,15,36,0,4,31,27,22,19,16,9,13,16,5,89,90,90,94,163,154,126,110,96,86,91,82,29,16,13,8,35,16,0,20,30,20,19,17,13,10,7,9
22,137,142,146,148,150,152,155,158,159,160,161,162,163,163,161,163,165,163,163,162,160,162,160,159,158,157,156,155,142,145,149,151,153,155,157,160,162,160,166,166,165,164,171,158,148,167,164,165,164,163,164,162,160,158,158,157,144,148,151,153,156,157,159,162,164,176,140,160,170,163,194,152,99,173,166,166,167,168,165,165,163,162,161,160,145,150,153,156,159,160,162,164,170,198,104,144,178,167,197,148,105,174,168,171,148,152,170,164,164,164,164,164,147,152,156,159,162,164,165,165,172,191,109,137,180,170,188,138,113,177,169,176,126,112,178,166,167,166,166,165,150,153,158,161,163,165,167,168,170,195,125,124,184,173,182,142,121,181,174,185,120,117,180,169,170,168,168,167,151,155,159,162,165,166,169,173,170,199,146,119,183,176,187,151,124,181,180,188,113,134,182,171,172,170,171,170,154,158,162,166,168,170,172,176,172,201,168,116,177,180,180,146,122,182,191,187,106,155,180,173,174,172,172,172,157,161,165,167,169,172,173,176,174,200,171,104,166,184,178,141,123,187,199,179,104,171,181,177,176,175,174,173,157,162,166,168,171,174,176,179,175,204,198,113,147,188,191,137,125,195,199,152,104,183,180,179,179,178,176,175,159,163,167,170,173,176,178,181,177,194,198,120,140,194,192,126,135,208,207,123,119,192,179,181,180,179,178,176,161,165,169,173,174,176,180,182,200,188,175,140,135,168,186,119,158,215,191,102,153,192,183,183,182,181,180,178,161,166,170,173,176,179,180,188,226,180,191,206,184,133,133,185,187,195,160,97,179,189,186,185,183,183,182,182,163,167,171,176,179,181,181,192,217,169,125,212,208,156,87,147,165,170,124,111,194,187,187,187,186,185,184,183,165,171,174,177,182,184,183,198,202,190,103,110,198,186,132,81,112,127,89,136,198,187,189,188,186,186,185,184,168,172,175,179,183,187,183,212,208,169,125,64,124,209,176,112,79,87,75,165,198,189,189,188,187,187,186,186,169,174,178,181,184,188,185,218,194,149,117,119,116,193,210,154,111,82,76,178,198,192,190,190,190,187,187,187,169,176,179,182,186,188,187,223,207,158,139,150,154,222,205,167,138,83,77,191,197,194,193,192,191,188,188,188,171,177,181,184,187,190,190,226,200,155,144,167,199,236,190,154,126,72,85,201,196,195,195,193,192,191,190,189,172,178,183,186,189,192,193,225,205,172,164,165,221,222,183,135,113,68,116,209,195,198,196,195,195,193,191,189,174,179,185,187,190,194,194,223,212,182,173,165,230,206,167,125,103,66,147,211,197,199,197,197,196,194,193,191,175,180,184,188,192,195,194,218,209,190,182,173,220,188,153,118,95,63,159,210,199,200,200,198,197,195,194,193,176,181,186,189,192,196,195,212,214,198,193,175,209,172,143,112,86,64,173,209,200,202,202,200,199,197,196,196,177,181,186,190,193,197,198,204,213,201,198,174,208,163,135,102,82,74,187,207,202,203,202,201,201,199,198,197,178,183,187,191,195,198,199,203,213,197,182,157,188,154,135,109,76,96,208,205,205,204,203,202,201,201,199,198,179,184,188,193,196,198,201,203,216,187,159,157,188,140,146,115,63,146,216,205,207,206,205,203,201,202,201,199,180,185,190,194,197,200,201,204,230,205,183,180,189,135,154,91,73,199,211,208,207,206,207,206,204,202,202,200,178,185,189,193,197,200,200,204,232,216,201,194,179,133,141,72,110,216,209,209,207,207,207,206,206,203,202,200
2,123,125,130,134,137,139,140,144,146,147,149,151,153,154,155,157,151,158,161,163,162,163,166,166,166,166,167,167,123,127,131,135,137,139,142,144,146,148,150,152,154,155,157,151,115,133,152,156,131,146,167,166,168,168,168,168,124,126,132,136,138,140,143,145,147,149,150,152,153,158,154,125,88,97,135,136,101,115,150,165,167,168,168,168,124,128,133,136,139,141,144,146,149,151,151,156,162,153,123,92,74,85,108,112,103,105,100,152,168,168,168,168,126,129,133,137,140,142,145,148,151,152,156,171,165,129,85,73,74,84,86,101,107,103,80,123,170,170,169,169,127,130,134,138,141,144,146,149,152,153,168,171,141,97,64,60,71,86,86,99,103,99,98,148,172,171,171,171,129,131,136,139,142,145,147,150,151,162,175,141,98,68,56,50,71,96,106,101,118,133,154,172,173,173,173,173,129,132,136,140,143,146,148,149,152,174,160,109,72,64,63,64,85,95,106,143,168,171,174,173,174,174,174,174,129,132,136,140,144,147,149,149,167,171,134,92,65,64,66,75,80,111,152,171,172,172,173,174,175,175,174,175,129,133,137,141,144,148,149,157,176,150,106,68,59,60,71,82,103,166,171,172,173,173,174,176,176,176,176,175,130,134,138,142,147,149,152,178,170,129,90,69,67,62,74,82,135,171,172,173,173,174,176,176,176,177,177,177,132,136,139,143,148,149,172,191,165,122,90,76,73,69,72,105,164,172,172,173,174,175,177,177,177,178,179,179,133,136,141,144,147,151,192,184,149,112,83,74,72,75,84,149,172,172,174,175,175,176,178,179,179,180,181,180,133,137,141,145,148,165,201,176,138,102,78,71,70,76,107,169,173,174,174,175,176,177,179,179,179,181,181,181,134,138,141,145,148,186,196,165,129,93,74,71,72,77,137,172,173,175,175,175,177,180,180,180,180,178,179,181,134,139,143,145,160,202,188,155,122,89,72,72,71,72,147,174,174,175,175,177,179,180,178,167,153,142,155,182,134,139,144,146,185,202,178,145,113,83,70,72,72,71,115,170,175,175,176,179,181,173,156,146,137,118,130,181,135,140,143,157,201,191,165,138,109,81,69,71,74,82,87,128,167,175,177,174,161,152,150,137,123,139,172,182,135,140,142,179,201,182,158,130,102,78,67,71,79,90,98,97,111,141,150,146,139,143,144,117,146,181,183,183,135,138,149,199,194,178,150,121,99,78,65,75,88,102,112,110,104,123,136,148,150,143,124,121,178,183,183,184,135,138,173,200,185,168,142,122,101,79,67,88,107,120,127,122,117,131,141,142,136,129,133,165,185,184,183,184,135,146,194,192,181,165,142,124,102,80,73,103,121,127,133,129,119,127,130,125,141,165,179,183,184,185,184,184,134,169,200,188,179,162,139,122,101,81,80,113,124,126,132,130,107,108,134,164,180,184,184,183,184,185,185,185,143,196,195,183,175,157,132,116,99,82,85,117,123,120,129,116,117,152,176,181,182,183,184,184,185,185,185,185,174,200,186,178,170,145,119,105,91,80,94,112,122,116,119,136,170,180,181,181,182,182,182,184,186,185,185,185,196,189,177,167,159,134,112,98,86,85,96,104,118,114,145,174,178,180,181,182,182,183,183,184,186,186,185,185,188,181,170,158,155,121,102,96,89,91,86,102,134,158,175,177,178,180,181,182,183,183,183,184,185,186,185,185,183,177,164,152,156,114,94,97,94,88,107,149,168,174,177,178,177,179,181,182,183,183,184,185,186,186,185,185
10,133,134,134,134,135,135,136,136,136,135,135,136,135,134,133,132,131,131,129,129,129,126,126,125,124,123,121,122,137,137,138,138,138,138,138,139,139,138,138,138,137,137,135,134,133,132,134,126,125,129,127,126,125,125,123,122,141,141,142,143,143,143,143,143,142,142,142,141,140,139,138,136,136,132,152,125,96,133,128,127,126,126,125,124,145,145,145,146,147,146,146,146,146,146,145,144,144,143,141,140,139,135,157,131,85,131,130,129,129,127,126,125,149,149,149,149,150,150,150,149,149,150,149,148,148,146,144,143,143,140,158,130,84,130,136,132,131,129,128,126,153,153,153,152,154,154,152,153,153,153,153,152,150,149,148,147,146,144,159,123,80,131,139,135,133,132,131,129,156,157,156,156,157,157,156,156,157,157,156,155,154,153,151,150,150,147,164,135,84,133,143,138,136,135,133,131,160,160,160,160,160,161,160,160,161,161,160,158,157,156,155,154,152,152,169,130,111,136,145,141,139,138,135,133,162,162,163,163,163,164,163,163,163,164,163,161,161,159,158,157,154,164,166,148,131,106,152,143,142,140,138,136,164,164,165,166,166,166,166,165,166,166,166,165,164,163,161,160,155,144,148,163,123,80,153,146,144,142,141,139,166,167,167,168,168,167,168,168,168,168,167,167,166,166,165,164,162,143,125,134,135,72,116,159,146,146,143,141,169,169,169,170,170,170,170,169,171,171,170,169,168,168,164,160,174,172,143,109,101,96,68,141,154,148,145,145,171,171,172,172,173,173,172,173,173,174,173,173,174,171,148,121,116,150,156,152,114,87,73,100,162,148,148,149,173,173,174,175,174,175,175,175,174,175,175,160,138,161,164,137,88,55,145,159,101,69,63,101,163,152,151,150,175,176,176,176,177,176,176,177,176,175,174,159,127,116,175,158,119,47,55,90,96,79,59,111,166,154,154,152,178,178,178,178,179,178,178,178,179,177,172,173,162,122,142,176,132,83,45,53,141,113,63,118,168,157,156,153,178,179,179,179,179,179,179,180,179,178,152,145,167,140,103,159,140,95,56,77,141,138,71,116,171,159,158,155,179,180,180,180,181,181,181,182,179,178,162,114,131,134,66,114,148,90,62,87,132,138,70,109,171,159,159,157,181,182,182,183,183,183,183,183,182,173,152,118,99,119,76,83,150,126,79,95,131,108,63,120,172,160,160,158,183,183,183,184,184,184,184,185,181,175,171,151,105,109,109,82,136,157,102,85,117,83,63,149,170,163,162,160,184,184,184,184,185,185,185,185,183,177,183,160,126,109,107,96,142,143,90,76,105,74,79,171,166,164,163,162,185,185,184,185,185,185,185,186,186,175,183,172,144,119,113,132,180,164,117,97,99,67,107,179,166,166,164,163,186,186,186,186,187,187,188,188,189,176,173,172,153,131,124,140,178,174,150,117,96,61,135,179,168,167,165,163,186,186,187,187,187,189,190,189,190,179,165,170,159,149,135,139,172,167,136,106,86,68,163,175,170,168,167,164,186,186,186,186,187,188,189,188,189,187,164,163,166,162,140,131,163,149,124,98,67,93,181,172,172,169,167,166,185,186,186,187,187,189,189,189,189,191,172,152,162,155,139,120,140,133,108,88,53,135,181,170,170,168,167,165,186,187,188,189,188,189,190,190,190,190,187,160,157,149,135,119,124,133,108,73,79,175,174,171,170,168,166,168,187,188,189,189,189,190,190,190,191,191,187,172,158,143,136,128,119,130,104,60,131,185,173,173,171,168,169,138
1,92,101,84,67,68,58,73,20,55,85,98,108,150,117,99,136,135,142,143,146,150,153,154,157,158,160,162,163,95,104,82,71,66,65,71,20,62,87,104,112,152,130,85,136,105,132,148,148,151,154,156,160,160,162,163,164,97,106,79,74,63,72,65,22,69,84,140,122,123,151,95,148,103,101,153,148,153,154,158,160,161,162,163,165,101,106,76,78,64,79,56,25,73,86,151,131,110,154,100,150,131,88,149,152,154,156,159,161,162,164,165,166,104,104,75,81,62,84,47,31,79,89,153,138,110,170,124,135,144,87,140,156,154,158,160,162,164,166,168,168,108,103,78,84,64,89,38,39,81,89,152,144,111,179,133,129,166,100,126,161,157,160,162,164,166,169,170,170,112,100,82,88,66,93,32,42,111,112,145,166,116,169,136,133,179,117,108,163,159,162,164,167,170,171,171,172,115,99,86,86,69,94,27,49,149,119,136,169,114,158,141,124,173,130,100,161,161,162,166,169,171,172,172,173,118,97,89,84,75,91,23,59,152,114,132,168,110,156,156,117,169,139,98,160,163,165,169,171,172,174,175,176,118,95,93,82,81,87,22,64,157,118,126,176,110,150,168,114,174,149,99,155,165,168,170,173,174,176,177,176,119,94,98,80,89,78,24,67,163,139,123,180,120,127,170,107,161,153,94,148,171,169,171,174,176,177,177,177,115,95,102,78,97,68,28,70,158,142,107,179,126,98,161,99,143,163,95,140,174,168,172,176,177,178,179,178,114,96,103,75,103,58,33,72,146,149,100,161,136,128,148,141,157,139,91,122,176,169,174,176,178,180,180,179,113,96,103,74,108,48,39,74,143,166,100,142,160,137,121,154,155,103,78,107,177,172,175,177,179,180,181,183,110,99,103,73,111,39,45,76,144,155,122,152,152,150,142,178,168,110,72,87,170,174,177,179,180,181,183,184,109,103,102,74,111,31,51,78,146,160,159,142,141,146,154,168,161,136,89,67,159,178,176,179,180,182,182,184,108,105,100,80,111,24,57,79,160,178,151,129,128,133,139,136,158,162,122,69,141,183,176,180,180,182,183,185,105,111,97,87,107,20,60,82,168,172,138,119,127,137,152,167,171,178,154,91,114,183,177,180,181,183,184,184,104,114,94,94,101,19,65,82,156,171,131,115,135,137,160,191,176,179,165,114,96,180,177,180,181,183,184,184,107,116,90,100,91,19,71,82,137,176,141,122,128,145,164,190,186,169,153,110,94,179,178,181,182,184,185,186,107,117,86,107,82,20,73,85,115,173,148,129,125,151,166,192,188,166,142,96,101,183,177,180,183,184,185,186,107,119,84,114,73,22,74,89,101,160,163,138,123,144,164,188,184,161,138,92,104,184,177,180,183,185,185,186,111,122,82,123,64,26,75,89,96,144,170,147,134,133,158,183,175,153,136,89,104,183,178,182,184,184,185,186,115,124,81,131,55,30,77,88,98,119,162,155,148,134,150,176,166,145,129,85,110,184,178,183,184,184,185,185,120,124,84,134,45,34,75,86,98,107,139,161,153,145,140,157,160,138,124,82,126,182,176,180,181,182,183,183,124,121,86,136,36,38,72,84,95,106,118,156,156,148,132,135,148,126,115,85,150,179,175,178,179,180,182,182,126,116,90,136,27,41,71,81,93,107,109,148,157,141,127,126,127,121,113,85,161,173,173,177,179,180,182,182,130,113,94,130,25,45,68,74,85,100,103,139,152,130,129,134,128,121,106,81,162,170,170,174,176,178,179,178
4,205,205,205,206,205,204,203,202,202,200,200,198,198,197,198,197,191,191,189,188,189,189,187,187,184,180,180,178,207,206,206,207,207,204,205,205,205,206,205,204,200,196,183,184,200,193,191,190,190,189,187,188,185,181,180,179,209,209,208,208,207,207,206,206,203,181,167,183,199,192,150,111,143,205,195,192,198,191,189,187,186,184,181,181,211,211,209,208,208,210,208,210,208,192,181,152,140,148,172,146,99,150,160,126,138,190,191,189,188,187,184,181,212,211,210,210,210,211,209,202,204,196,194,188,154,105,106,154,138,93,89,111,67,137,203,188,189,187,186,184,213,212,211,212,212,211,198,185,184,167,116,117,164,104,57,122,133,94,57,102,87,85,198,190,188,187,185,183,213,213,214,213,213,212,209,211,190,169,118,67,133,108,56,92,113,72,65,117,104,67,179,195,188,188,186,184,214,216,214,215,213,215,185,156,139,179,132,76,107,136,102,89,102,55,77,122,99,67,179,196,189,188,186,185,216,216,215,216,214,218,198,134,69,133,174,117,116,149,165,140,110,104,100,113,126,86,180,196,191,188,187,186,216,217,216,217,215,218,196,138,58,38,169,141,100,121,152,156,110,119,117,112,134,75,133,207,190,190,188,188,218,219,219,218,216,216,168,115,95,83,76,98,77,70,75,124,118,110,108,108,102,81,85,201,192,191,190,189,220,220,220,219,216,213,184,170,139,103,63,55,77,68,66,70,104,111,99,90,104,105,62,176,200,193,190,188,220,220,220,219,219,215,192,173,132,92,63,66,71,77,97,79,61,52,93,126,139,119,64,131,207,191,189,188,220,221,222,220,220,215,202,161,116,82,62,64,77,102,103,101,94,99,124,157,146,126,91,89,204,191,192,189,221,222,223,222,218,218,191,152,118,81,64,76,90,105,119,117,142,174,160,132,173,158,118,67,183,198,193,191,222,223,223,223,219,218,202,174,136,96,73,79,88,121,138,141,157,176,187,169,158,157,119,55,162,204,192,191,223,224,223,224,223,216,202,176,143,102,71,75,101,127,143,161,167,184,181,169,151,122,100,51,170,203,192,192,224,223,223,224,225,212,199,187,158,119,85,79,88,125,153,170,183,191,178,153,138,110,66,75,203,197,195,192,224,224,223,224,224,207,192,193,168,135,105,83,79,131,169,182,196,191,171,143,124,97,42,141,209,195,195,193,224,223,223,224,224,207,185,190,170,139,114,93,85,130,180,186,192,180,157,132,112,77,62,201,200,198,196,195,224,224,225,225,226,206,183,179,169,148,121,101,97,135,188,180,176,166,142,118,102,52,128,216,198,199,195,194,224,225,227,226,228,207,179,177,177,158,126,116,105,141,180,174,166,149,127,108,82,56,191,207,201,198,197,195,225,226,227,226,227,216,184,181,180,162,134,125,105,144,171,167,160,136,108,95,47,113,219,203,204,199,198,196,226,227,227,226,228,227,195,186,188,168,144,125,103,135,166,157,146,119,95,70,53,197,210,205,205,199,199,197,227,228,227,227,227,226,201,198,189,166,150,131,106,120,148,139,121,96,80,37,151,220,206,205,203,202,199,196,228,228,228,228,229,224,211,203,185,168,153,135,114,112,127,120,98,82,41,100,220,207,207,204,203,202,199,198,228,228,228,228,230,225,212,202,181,164,150,134,125,113,112,110,90,62,49,201,213,208,207,205,202,202,200,198,228,228,228,227,230,218,209,196,183,172,165,153,143,122,106,103,82,41,122,225,210,211,207,205,203,202,199,198
18,158,158,160,161,162,164,165,165,165,165,166,166,165,165,164,163,161,161,163,162,160,158,159,158,157,156,154,153,159,162,163,163,163,165,167,168,167,167,167,167,167,165,166,165,164,164,164,163,164,161,160,159,159,157,156,155,160,164,166,165,165,166,168,169,168,169,168,168,167,168,167,167,167,166,164,168,166,162,160,160,159,159,157,157,161,165,167,168,168,168,169,170,170,172,172,169,170,169,170,168,169,165,171,148,153,166,164,163,161,160,160,159,164,167,169,168,169,170,172,173,173,174,174,172,173,174,173,169,169,172,203,110,105,176,164,165,164,162,161,160,167,168,170,170,171,173,173,175,173,175,175,173,171,169,171,177,160,179,212,118,59,173,166,167,165,166,163,163,168,170,171,173,174,176,177,176,175,177,175,179,187,141,104,138,115,136,214,159,55,110,182,164,168,168,165,165,170,173,173,175,176,177,178,180,179,179,177,178,190,177,123,86,96,149,213,168,90,44,147,176,166,169,167,166,171,173,174,176,177,179,181,182,181,178,186,150,95,135,158,103,63,99,177,173,119,91,58,152,177,170,169,167,173,175,176,177,179,181,182,180,185,203,188,154,108,53,141,119,65,39,73,143,136,104,56,75,186,168,171,168,174,176,178,179,181,182,183,179,215,212,209,160,126,64,78,110,53,24,23,136,160,109,70,67,185,170,172,171,174,177,180,181,182,185,179,200,200,187,211,163,131,75,35,60,45,19,18,151,170,133,68,71,186,172,173,173,175,179,182,183,185,184,188,230,203,166,181,153,126,70,31,43,31,21,14,120,167,145,72,60,186,176,176,173,178,181,183,184,185,186,212,200,167,168,171,104,78,51,37,75,14,12,28,131,167,147,77,58,187,175,177,176,179,183,184,187,182,199,229,196,148,126,139,66,59,37,67,69,47,105,109,127,155,125,69,54,188,178,178,177,182,184,185,187,185,201,233,209,181,117,87,108,63,0,76,127,163,165,158,107,108,105,73,42,177,182,179,178,183,185,187,190,184,215,231,216,185,131,93,104,41,16,182,198,184,154,135,115,72,94,79,37,171,186,181,182,184,185,188,190,190,225,229,205,152,128,111,93,53,154,214,192,178,148,110,115,75,73,60,49,187,182,182,182,185,187,189,188,196,226,227,194,154,143,101,63,131,206,198,186,163,140,114,102,83,63,31,115,197,183,183,182,184,187,190,189,202,228,224,189,154,153,99,110,177,209,190,173,160,140,106,94,77,48,38,181,187,186,184,183,185,187,190,191,204,226,217,190,170,167,99,150,170,196,182,162,154,128,91,82,68,23,95,199,184,186,184,184,186,189,192,190,204,221,213,193,183,146,107,117,167,169,168,152,140,111,84,69,51,25,170,194,187,186,185,185,187,191,192,190,204,222,211,205,180,127,88,114,148,155,150,145,124,98,72,59,17,100,203,187,190,188,187,186,189,191,192,192,209,207,201,196,150,96,87,129,138,151,142,127,108,78,56,28,44,189,192,192,193,190,188,188,187,187,192,193,214,204,197,180,149,124,122,128,142,146,135,110,92,68,39,21,164,199,190,194,192,191,189,188,195,201,194,195,224,218,216,198,183,161,137,112,137,142,119,89,73,52,12,133,206,191,194,193,192,191,190,189,157,138,187,212,226,215,214,197,171,147,131,102,124,130,99,77,62,22,114,207,193,195,194,194,193,191,191,190,80,37,51,166,218,213,208,190,161,128,122,102,119,111,84,70,29,88,211,196,197,196,196,195,194,193,193,192
4,178,181,182,182,183,183,185,185,185,185,187,187,186,188,188,187,187,186,187,187,187,186,187,186,186,187,185,185,181,182,183,184,184,186,186,187,188,187,187,187,189,189,189,189,190,193,189,189,189,189,189,189,188,189,189,188,183,184,184,185,187,188,189,188,189,189,188,187,187,190,194,181,157,167,193,190,193,189,191,191,190,190,190,190,185,185,185,187,189,189,190,190,189,188,191,174,156,169,220,191,156,108,183,197,192,196,191,193,192,190,191,192,187,187,188,190,190,191,190,192,192,196,221,190,180,143,212,203,169,125,133,170,155,169,200,193,195,192,194,194,189,190,190,192,193,192,191,191,181,185,219,219,179,146,174,216,165,135,83,160,154,110,173,201,195,197,196,196,190,191,191,194,196,193,194,202,196,184,151,206,199,156,146,217,173,134,77,165,166,117,107,206,197,199,198,199,190,192,194,195,197,193,200,218,209,197,121,124,205,148,120,216,183,130,70,165,170,124,86,195,201,200,200,200,193,195,195,196,197,194,205,196,189,179,112,97,171,145,115,172,157,107,72,171,166,118,82,193,206,202,202,202,194,196,198,198,198,196,206,197,169,180,107,80,170,156,130,132,114,73,68,169,147,92,94,204,205,202,203,203,195,197,198,200,201,197,202,205,158,170,127,85,152,169,164,147,147,118,78,130,118,81,99,211,202,206,204,204,196,197,199,200,203,201,202,219,196,157,140,91,102,183,192,194,181,163,113,82,98,78,115,217,203,207,205,206,198,199,201,202,204,203,204,219,199,163,118,76,70,146,186,193,192,160,114,73,80,72,136,220,205,206,206,207,199,200,202,204,205,201,206,218,178,137,118,98,76,65,124,177,181,153,119,88,77,70,151,221,206,208,208,208,200,202,204,204,203,201,209,210,173,139,115,97,81,78,83,112,160,160,140,101,82,65,155,219,207,209,209,208,202,203,204,205,204,203,211,219,189,154,127,110,97,89,112,94,158,188,157,118,92,63,166,220,209,211,210,209,202,203,204,206,206,204,214,216,188,140,114,109,97,86,119,161,201,205,185,143,107,67,155,224,209,211,211,210,202,204,204,206,206,206,216,216,180,146,122,108,116,102,145,204,220,209,202,157,119,84,111,224,210,213,212,212,204,205,206,207,208,208,216,212,183,148,130,119,142,114,175,222,226,206,182,148,120,91,114,225,212,214,213,214,205,205,206,207,209,209,216,209,185,152,140,142,140,131,199,223,218,201,176,134,115,82,141,227,214,215,214,214,205,206,208,209,209,208,212,208,183,159,149,147,136,138,206,222,203,178,163,120,101,77,174,224,214,216,213,214,206,207,209,209,209,210,209,204,177,156,137,159,134,139,207,218,188,159,144,110,91,85,204,220,215,215,212,213,206,208,210,209,212,212,208,200,182,155,160,178,129,140,213,208,175,146,126,101,86,112,224,216,217,217,216,216,206,209,210,209,213,213,210,195,183,166,158,177,137,140,214,182,160,133,110,96,78,156,229,217,219,218,218,218,206,208,208,209,211,213,212,201,189,170,155,172,141,145,200,166,146,116,101,94,82,195,225,218,220,218,218,218,206,205,207,207,210,210,204,215,199,172,155,152,133,129,189,157,127,109,96,89,99,217,218,218,219,219,219,219,206,207,207,208,211,201,206,223,198,168,151,132,113,121,164,135,108,102,97,77,150,225,217,219,219,219,219,219,206,208,208,210,211,198,218,213,196,181,156,121,116,135,158,106,108,95,89,103,209,220,218,218,218,218,218,218
20,137,141,144,147,150,152,154,155,157,158,160,160,159,160,162,163,162,163,163,163,163,165,164,163,164,164,163,161,141,145,148,152,154,156,158,159,162,163,164,164,163,176,143,152,167,167,166,167,167,167,168,167,169,168,165,164,144,148,152,155,157,160,162,164,165,166,167,168,170,196,127,121,164,170,169,170,170,170,172,171,171,170,168,167,148,151,156,158,161,164,165,167,169,170,171,171,175,198,129,104,137,140,178,174,174,174,174,174,174,173,171,170,151,155,160,162,165,167,169,170,172,173,175,176,179,196,128,126,156,109,180,178,176,176,177,177,177,176,174,174,155,158,162,165,168,170,172,173,175,176,178,179,182,198,133,140,167,102,173,181,180,180,180,181,180,179,178,177,157,161,165,168,172,173,175,177,179,180,180,180,186,202,138,142,179,107,169,186,184,183,184,183,182,182,181,180,159,163,167,171,174,177,179,180,181,182,184,182,194,200,139,142,190,115,160,189,186,186,187,186,186,186,185,183,162,165,169,173,176,179,181,184,186,186,185,184,202,204,143,149,191,123,148,193,189,190,190,189,189,189,187,186,165,167,172,175,178,182,184,186,188,190,186,163,191,211,142,154,200,132,141,197,192,193,193,193,192,192,190,188,166,170,173,177,181,184,187,187,184,195,209,165,146,163,120,141,204,140,140,200,194,195,195,195,194,193,192,191,169,174,177,179,183,187,189,193,183,166,207,186,123,99,86,124,177,139,137,201,197,198,197,196,196,196,195,194,171,175,179,182,186,190,191,202,205,164,164,185,149,139,114,111,144,133,132,204,200,200,200,199,199,199,198,195,172,176,180,185,188,192,194,193,185,165,131,177,170,180,159,105,103,118,122,204,200,201,201,200,200,200,199,199,175,179,183,186,190,194,195,191,157,160,117,183,167,172,166,114,78,90,117,206,201,202,203,202,203,202,201,201,176,181,185,188,191,195,196,198,187,160,135,135,124,96,166,141,91,71,108,207,204,205,206,206,205,203,202,201,177,181,186,190,193,197,198,207,182,132,96,68,67,59,147,174,120,76,90,205,207,207,207,208,206,206,204,203,179,183,187,191,194,199,201,207,185,149,112,93,91,100,169,203,150,98,83,197,209,208,208,209,208,207,207,206,180,184,187,192,195,198,200,209,199,153,120,110,125,173,217,197,153,117,87,194,212,209,210,211,210,209,209,208,181,185,189,193,196,200,201,210,204,164,132,132,146,206,218,186,138,108,91,203,213,210,211,211,211,210,210,209,181,187,191,194,198,202,201,211,212,182,153,142,154,213,203,170,125,93,97,210,213,212,213,213,213,212,211,211,183,187,193,196,200,202,202,209,217,191,158,153,159,213,195,156,117,90,101,213,214,215,215,215,214,214,213,211,183,188,193,196,200,202,203,205,211,188,171,175,161,210,188,141,106,86,111,215,215,216,216,216,215,215,214,212,183,187,192,195,200,201,203,202,197,189,172,177,153,200,172,132,99,81,124,220,215,215,215,216,216,216,214,213,183,188,193,197,199,201,203,203,199,190,172,172,140,177,151,117,99,79,147,219,214,214,215,216,216,215,215,214,185,189,193,196,199,202,203,203,204,194,164,151,120,155,132,113,101,86,189,218,215,215,216,216,216,215,215,214,185,190,193,196,199,202,203,202,207,194,167,136,127,160,122,119,91,127,216,216,216,216,217,217,216,216,216,215,185,190,194,197,199,201,204,200,209,204,180,155,149,161,112,114,81,181,217,216,216,217,219,217,217,217,216,215
6,200,200,200,199,200,200,199,199,199,199,198,198,196,195,194,192,191,190,189,188,186,185,183,181,181,179,176,174,201,202,201,201,202,202,201,201,202,201,201,200,199,197,196,195,194,192,191,190,188,187,186,184,183,181,179,177,202,203,203,203,203,204,203,203,203,204,202,201,201,200,198,197,196,195,194,192,190,189,189,187,185,182,180,178,204,204,205,205,205,205,206,207,206,206,205,204,202,201,201,200,198,198,196,194,193,192,191,189,186,184,182,181,206,206,207,207,207,206,207,208,208,207,207,206,205,204,203,201,199,197,192,188,185,183,177,174,177,176,180,184,207,207,208,208,208,208,209,209,210,209,206,201,199,195,188,180,172,160,147,149,154,153,144,149,185,175,163,185,208,208,209,208,208,209,210,208,196,176,167,160,161,159,155,148,145,139,128,140,139,133,134,137,161,151,154,186,209,210,210,210,209,210,203,187,167,147,142,146,150,155,153,148,135,124,115,114,110,114,117,115,128,151,179,188,211,211,212,212,209,194,180,174,163,139,120,124,127,127,122,116,103,98,111,132,148,164,173,182,189,192,192,190,212,213,213,208,185,171,172,168,156,134,102,85,72,98,147,161,169,175,190,201,202,202,201,199,197,196,194,193,214,214,208,182,168,170,172,170,166,155,122,78,56,86,146,178,200,209,207,206,204,202,201,200,198,197,195,194,215,208,186,172,174,178,178,177,177,158,108,68,61,61,64,72,99,184,209,207,207,204,203,202,200,198,197,195,196,179,177,181,181,182,178,171,171,132,77,59,58,62,64,63,56,120,208,209,208,207,204,203,201,200,198,196,173,175,183,183,181,179,167,162,164,132,97,65,45,54,61,64,60,71,186,211,209,207,205,203,202,200,198,196,175,179,184,185,182,170,162,166,167,165,143,91,54,50,50,51,70,125,199,210,208,208,206,204,202,201,199,198,178,180,185,184,176,163,161,163,162,163,137,83,57,56,57,53,144,211,211,210,209,208,207,206,204,202,200,199,178,183,183,175,165,160,158,154,151,145,114,67,51,54,57,53,152,217,212,211,209,207,208,206,205,203,201,200,178,176,167,164,163,159,156,146,137,137,123,82,45,47,50,107,197,212,210,210,209,207,207,204,203,201,199,198,167,159,156,159,154,146,138,132,136,148,147,100,59,57,53,154,218,214,210,209,208,208,207,204,203,201,198,192,157,156,154,147,135,130,129,134,141,148,135,87,59,55,57,165,217,214,211,210,209,208,208,204,189,167,137,108,155,151,142,134,130,129,127,122,119,113,88,63,69,83,144,209,216,216,214,208,203,201,197,155,98,71,60,55,139,128,118,123,126,123,109,91,79,73,75,128,179,199,215,217,204,176,159,121,108,106,96,69,58,56,44,46,103,84,80,97,105,99,83,71,75,110,156,202,207,207,208,198,132,88,73,45,47,48,43,46,42,48,41,31,64,54,68,86,90,87,82,86,99,116,123,123,123,125,121,101,74,62,57,44,32,43,35,38,34,37,35,24,53,69,108,110,110,111,110,109,110,109,108,105,91,79,67,57,52,49,41,47,25,36,31,30,32,33,27,24,52,94,122,118,118,122,118,114,118,117,115,100,67,50,52,48,42,42,39,42,26,26,29,26,29,31,22,27,58,103,114,113,115,116,113,112,112,106,89,62,51,36,42,45,37,36,34,35,29,18,25,25,28,30,19,27,65,108,112,113,116,115,112,112,105,85,69,41,42,36,33,42,33,32,28,29,30,16,22,25,27,28,20,27
15,121,133,140,142,146,153,160,166,171,175,179,182,186,189,192,196,198,200,203,204,205,207,207,208,209,209,209,209,124,135,142,144,148,156,163,169,173,177,180,183,187,191,194,197,200,202,204,206,208,208,208,210,209,211,211,210,124,136,143,145,148,157,164,170,175,179,181,185,188,192,195,198,202,204,206,208,208,209,210,210,211,213,212,211,125,136,145,146,150,158,165,170,175,180,182,187,190,192,195,200,203,205,207,209,209,210,211,212,213,215,214,214,126,138,146,147,153,160,167,173,178,182,184,188,191,194,197,201,203,206,208,209,211,212,213,214,215,215,215,216,129,140,146,148,154,161,167,174,179,183,185,188,192,195,200,203,205,207,209,208,211,212,213,214,216,216,215,216,131,142,147,149,156,163,169,175,181,185,188,193,199,203,205,208,211,212,215,216,220,220,215,214,215,215,216,217,132,143,149,149,156,165,171,176,180,182,181,172,165,170,177,183,189,188,180,172,174,194,213,222,224,223,222,218,133,143,149,153,158,163,163,160,160,163,156,146,142,139,141,143,151,160,151,147,132,120,132,148,171,192,212,222,134,144,154,163,159,165,157,140,139,134,121,133,151,151,146,134,150,173,165,164,150,134,126,111,99,100,114,140,136,146,153,136,117,115,99,79,86,84,80,87,100,99,93,94,136,149,149,147,136,136,142,132,117,104,97,101,138,148,152,151,142,127,121,134,152,167,176,170,163,152,139,115,129,131,137,117,120,130,156,140,125,111,104,113,139,147,151,156,166,174,181,187,190,192,197,201,204,214,200,159,148,129,118,100,119,144,167,149,138,123,116,125,139,147,151,155,162,169,175,180,185,188,192,196,200,197,169,176,143,82,93,62,131,181,172,151,149,138,129,130,139,147,150,154,162,170,175,180,185,188,191,195,200,186,170,150,135,56,61,45,152,194,175,149,150,140,130,123,140,147,150,154,162,169,176,181,185,188,193,198,191,184,182,133,82,50,62,35,147,199,171,146,132,124,118,107,141,148,150,156,163,171,178,181,184,188,192,197,196,166,184,161,78,53,60,43,152,184,166,138,112,105,93,90,141,149,152,156,165,172,177,181,185,189,193,197,204,191,178,181,128,74,110,160,165,161,161,124,98,91,82,89,140,149,152,156,164,171,177,181,187,190,194,198,200,208,190,180,164,155,161,152,144,134,109,82,75,69,74,79,141,147,150,156,164,171,177,180,185,190,194,197,201,208,192,166,172,153,113,118,104,83,87,136,129,131,150,174,141,148,151,158,167,172,179,185,191,196,199,202,205,184,148,136,142,126,95,83,69,55,60,191,239,229,233,231,113,118,122,126,131,134,142,145,148,155,161,163,182,170,138,115,96,94,76,59,59,53,57,111,231,217,224,226,100,101,101,103,107,104,103,103,105,105,107,103,132,151,103,79,69,88,101,81,78,104,94,107,138,139,144,149,107,109,110,112,113,115,114,114,117,119,120,119,122,117,90,97,110,120,121,120,118,121,121,117,114,115,114,114,107,107,109,110,112,112,113,114,114,116,116,118,118,115,122,129,125,121,119,120,121,121,120,121,123,123,124,123,107,110,111,111,112,113,113,114,114,115,115,115,118,117,119,121,122,125,121,121,119,119,122,123,122,123,124,125,108,108,112,114,114,115,115,116,116,117,116,117,119,119,119,118,118,122,121,119,119,121,122,123,123,124,124,126,107,108,111,113,114,115,115,116,116,118,117,119,118,120,120,119,118,120,120,121,121,120,121,122,122,122,124,124
4,180,180,180,180,180,180,179,179,177,175,175,174,175,176,173,172,172,169,167,167,166,165,165,165,162,160,158,158,181,181,181,181,181,180,180,180,179,177,176,175,175,176,174,170,169,170,168,167,168,167,166,165,163,162,159,158,183,183,183,182,182,181,181,181,181,179,169,158,161,170,169,145,123,138,169,170,168,168,166,165,164,162,160,159,185,185,184,183,183,182,183,182,181,180,172,164,150,133,132,140,132,105,137,151,136,145,165,166,165,164,162,160,185,185,184,185,185,185,184,183,177,176,169,161,154,148,113,92,120,122,99,89,96,84,134,166,165,164,164,162,187,186,186,186,185,186,184,180,168,167,154,126,89,127,109,73,89,118,93,63,86,83,88,167,166,165,165,163,188,187,187,188,187,186,185,183,176,164,155,128,85,96,110,78,75,102,80,60,98,94,71,157,167,166,165,164,187,187,187,187,186,186,186,179,138,116,129,143,99,89,122,115,100,95,70,70,104,98,69,152,168,166,165,164,189,189,188,188,188,187,186,185,148,96,63,149,126,103,126,135,138,105,96,99,101,113,85,149,168,167,164,164,189,189,190,189,189,189,187,178,133,84,45,94,122,92,93,105,131,110,103,104,100,106,84,114,170,169,166,165,190,190,191,191,189,189,188,168,133,113,94,70,72,77,67,67,85,108,103,99,96,94,88,82,169,169,167,166,191,191,192,192,190,189,189,172,155,130,98,71,60,73,70,76,70,82,91,91,91,104,99,71,152,170,169,167,193,192,193,193,191,190,190,177,158,126,94,68,63,72,76,91,86,69,62,97,129,129,108,78,121,170,169,166,193,193,194,194,193,192,190,179,146,111,82,63,64,74,94,98,98,96,108,118,131,134,120,96,91,170,169,166,195,195,195,194,193,192,190,178,152,125,93,71,74,83,96,110,111,128,147,151,134,152,139,106,74,164,170,167,196,195,196,195,195,193,189,183,161,131,99,73,72,84,108,122,129,140,153,159,151,137,128,98,63,158,170,168,194,195,195,196,196,194,190,179,165,140,110,78,73,88,111,127,143,152,160,156,143,130,105,82,66,165,171,169,194,195,195,196,197,194,187,174,171,150,122,93,76,79,110,137,152,164,165,153,134,117,93,64,102,172,171,170,195,195,195,196,197,195,186,170,170,156,129,106,85,79,113,148,161,169,163,146,124,108,82,59,154,173,172,170,195,195,195,195,196,196,185,166,163,154,132,110,91,88,114,156,162,163,153,134,114,96,70,97,174,174,173,172,195,196,196,197,198,197,186,165,159,157,142,117,100,96,123,157,157,152,140,121,104,84,61,151,176,175,172,171,196,196,198,198,198,197,190,164,160,160,147,124,109,99,130,152,151,145,128,106,89,68,89,175,178,176,174,172,196,197,198,198,198,198,196,171,164,165,151,131,113,99,125,146,145,136,116,92,76,60,150,179,179,177,175,173,197,199,198,198,198,199,198,177,173,168,151,135,118,100,115,138,132,119,98,78,58,106,179,180,178,177,175,173,197,198,198,199,199,199,197,183,178,165,150,139,123,105,108,121,114,100,82,63,73,170,181,179,178,176,174,174,199,199,199,199,199,199,196,185,178,163,148,135,122,110,102,107,103,86,69,53,150,182,182,179,179,177,176,174,200,200,199,199,199,199,191,183,174,164,154,145,134,125,108,101,96,78,58,103,181,184,182,180,178,177,176,174,200,200,200,200,199,198,183,184,175,165,154,150,137,127,111,98,88,69,57,159,185,185,182,180,179,177,176,174
3,159,161,164,166,169,171,173,173,173,174,174,174,174,173,172,172,183,179,115,153,167,166,165,163,161,159,158,156,161,164,166,168,171,173,174,176,177,177,176,175,176,175,174,173,186,167,107,131,169,168,165,165,163,161,159,157,162,166,168,170,173,175,176,178,179,179,179,178,178,177,176,175,186,161,107,120,171,169,167,167,165,162,160,159,164,167,170,172,175,177,179,180,181,181,181,180,179,179,178,177,185,163,107,115,172,171,170,168,166,164,163,160,166,169,172,174,176,179,181,182,183,183,183,182,182,181,180,179,189,185,123,109,173,172,171,170,167,166,164,161,169,171,173,177,179,181,183,185,186,186,186,185,184,183,182,181,194,188,121,102,173,173,172,171,168,166,165,164,170,173,176,179,182,184,186,187,187,187,188,187,186,185,184,182,198,180,114,100,175,175,174,172,170,167,166,166,171,175,179,181,184,186,188,189,190,190,190,190,188,188,186,184,201,179,117,101,178,178,176,174,172,169,167,166,173,177,181,184,187,188,191,192,192,193,193,192,191,190,188,187,203,172,117,100,178,179,178,176,174,171,170,168,175,179,183,186,188,191,193,194,195,196,195,194,193,192,192,181,164,138,98,101,181,180,179,177,175,172,170,168,176,181,185,188,190,193,195,196,197,197,197,196,195,195,206,173,118,81,68,120,183,183,181,179,176,174,171,169,178,183,187,189,193,195,197,198,199,199,198,197,193,176,170,174,134,93,56,152,185,185,184,181,179,176,173,171,180,184,188,191,194,197,199,199,200,201,197,203,203,147,102,146,187,121,90,137,175,185,185,183,180,178,175,173,181,185,189,192,196,198,200,201,200,202,170,138,180,147,113,123,193,123,97,83,116,132,181,184,181,180,178,175,181,186,190,194,198,200,201,202,214,212,168,124,139,162,126,101,167,126,115,96,120,97,161,185,182,180,179,177,183,187,192,195,198,201,202,209,218,203,186,148,111,162,121,90,138,134,123,109,115,84,151,187,184,182,180,178,183,188,192,196,199,202,204,219,217,190,191,151,105,138,115,88,129,105,93,117,100,78,144,188,186,184,181,180,182,187,192,196,199,201,203,217,207,170,172,144,98,109,109,78,147,148,84,136,119,81,123,188,186,183,181,179,185,188,194,198,200,203,205,208,208,186,170,128,82,101,97,64,150,154,90,123,122,79,109,189,187,183,181,179,185,189,194,198,200,203,206,210,216,198,178,122,101,105,108,87,139,138,117,114,102,73,146,189,187,185,182,181,185,190,196,199,201,204,206,210,222,207,192,127,106,104,129,137,180,164,135,115,80,94,188,191,189,185,168,133,182,188,193,196,199,201,204,207,222,214,191,141,120,119,173,191,178,148,114,101,76,144,185,162,136,108,69,49,137,138,139,141,142,142,140,143,204,209,186,159,137,129,175,187,159,127,104,90,68,93,77,47,35,31,32,32,115,117,117,117,117,115,114,110,167,204,186,164,148,119,149,158,133,109,91,73,45,33,29,26,30,28,23,25,118,118,118,118,118,119,122,106,102,193,184,165,143,111,112,108,102,88,70,46,30,28,29,24,24,30,28,22,120,120,119,118,118,118,117,91,52,121,166,161,126,93,92,90,87,64,32,41,24,20,26,26,21,24,29,29,120,121,122,121,120,120,112,70,54,57,90,112,98,93,84,77,63,29,3,26,34,12,17,24,22,21,24,29,121,121,121,120,120,119,97,61,56,53,49,61,82,75,60,50,30,6,2,18,34,22,8,20,23,22,21,27
20,134,137,140,143,146,147,150,151,152,153,155,156,157,155,156,158,155,156,156,157,155,156,153,151,150,150,150,148,136,140,143,145,148,151,152,153,155,155,156,159,156,172,160,143,159,159,158,157,158,156,156,155,154,152,151,151,139,142,145,147,150,153,155,157,157,158,158,161,154,194,164,101,159,139,160,159,159,158,159,158,157,155,152,152,142,145,148,149,153,156,157,159,160,161,162,165,158,197,163,108,180,102,153,165,160,162,162,159,159,158,156,154,143,148,150,151,155,158,159,160,162,163,165,167,160,198,165,120,198,107,137,172,165,165,164,163,162,159,158,157,145,150,151,153,158,159,161,163,165,166,166,168,162,206,184,123,201,128,128,174,166,168,166,165,164,163,160,159,147,151,154,156,160,163,164,165,167,168,170,172,165,210,173,130,211,143,126,177,169,171,170,167,166,165,163,161,149,152,155,158,162,164,166,168,168,168,168,170,172,210,160,143,210,140,120,179,172,173,172,170,168,167,166,165,150,154,157,160,164,166,167,169,172,170,187,184,169,214,165,145,214,132,119,183,173,174,173,172,170,169,168,166,152,157,159,162,165,168,170,172,168,175,228,225,165,128,144,146,209,132,127,185,174,176,175,174,172,171,170,169,155,159,161,165,166,169,172,170,191,204,184,190,169,100,76,117,180,122,134,188,177,178,177,176,174,173,172,171,156,160,164,166,170,172,171,182,224,226,169,137,173,148,135,101,126,110,134,189,180,180,178,178,176,175,174,172,157,161,164,168,171,174,172,194,196,147,199,162,140,193,186,122,85,86,135,190,180,182,179,178,179,177,176,174,159,163,166,170,172,174,172,196,195,97,96,99,70,160,188,137,87,74,133,191,182,184,181,181,181,180,178,178,161,164,167,171,173,177,174,200,179,141,120,80,76,91,201,178,115,67,132,194,184,186,184,182,183,182,179,178,162,166,170,173,175,179,175,205,213,172,124,96,105,89,188,211,146,70,121,198,186,188,186,184,184,183,181,180,163,168,171,175,177,181,176,210,211,148,109,101,119,123,192,227,171,93,110,198,187,189,187,186,186,185,184,181,165,170,172,176,179,182,177,210,209,155,125,122,131,151,221,223,180,111,109,199,188,190,189,187,188,187,185,184,166,171,174,177,181,184,181,212,221,172,140,136,147,192,230,215,168,117,104,198,189,190,191,189,189,188,186,186,168,172,176,178,181,187,183,211,225,187,148,149,166,217,230,212,161,116,106,197,191,193,191,191,192,190,187,186,169,171,175,178,182,186,182,206,229,197,161,152,180,227,221,200,159,111,99,198,195,194,193,193,193,192,189,187,169,172,174,178,182,186,182,203,229,199,175,167,183,230,213,182,154,104,93,196,195,193,192,191,191,191,189,187,170,173,178,181,184,186,185,195,225,207,189,190,179,219,203,174,149,99,89,196,196,196,194,192,191,190,187,190,169,173,179,182,185,186,189,189,217,215,197,199,174,193,183,156,139,90,92,203,197,197,196,195,192,191,197,180,172,175,179,181,185,188,190,187,210,225,203,187,160,162,163,139,142,77,113,211,197,200,197,194,201,197,168,100,172,176,179,181,185,187,198,202,212,226,197,164,129,134,152,137,133,62,149,211,199,201,198,205,175,111,73,58,174,179,182,187,189,195,162,79,150,226,167,141,115,130,161,128,106,68,202,205,202,203,207,162,86,70,63,54,138,143,149,153,157,166,93,0,86,219,178,145,115,143,166,103,83,27,113,197,191,198,158,77,67,61,52,50
15,77,87,100,106,108,111,118,125,131,136,139,143,147,150,154,157,160,164,167,170,172,174,176,177,178,179,181,181,79,89,100,107,108,111,118,127,133,137,141,145,148,152,156,160,161,166,169,170,172,175,177,177,179,181,181,182,81,90,99,106,109,111,120,127,133,138,143,145,148,153,157,160,162,166,169,172,174,177,178,179,181,183,183,184,81,91,102,107,111,115,122,127,134,140,145,147,150,154,158,160,165,168,171,174,176,178,180,182,183,184,184,185,82,93,102,109,109,114,121,127,133,138,143,148,153,156,161,164,167,169,172,175,176,178,181,182,184,185,186,187,82,91,113,143,118,116,124,123,131,140,141,140,138,143,148,159,166,170,174,177,180,182,181,181,185,187,188,188,85,94,116,143,113,106,115,121,138,145,149,154,158,150,139,140,141,150,162,160,162,174,189,185,183,187,187,189,87,96,109,103,79,84,95,103,125,139,145,166,174,158,156,153,160,159,154,162,141,126,141,182,190,185,190,189,87,98,107,110,112,116,112,109,113,123,127,148,173,177,173,171,172,180,171,158,173,150,101,92,171,196,188,190,89,99,106,110,115,123,132,138,142,144,142,137,131,146,170,194,173,144,177,144,154,179,103,91,82,174,196,190,88,99,108,111,113,119,128,135,140,143,154,155,111,93,100,125,160,132,134,129,153,190,89,103,119,89,184,193,88,99,107,110,114,121,128,134,140,138,181,153,104,91,94,112,146,137,94,95,134,158,98,96,149,97,99,203,89,99,107,110,114,122,129,135,140,139,197,155,85,96,117,141,157,136,104,101,100,96,100,113,129,103,52,140,89,101,108,109,114,122,129,136,140,149,188,199,129,115,131,142,146,123,106,106,106,102,102,119,132,102,55,56,89,102,108,110,115,122,129,137,135,176,197,193,196,157,101,85,97,92,86,91,100,110,119,129,135,115,67,51,91,103,109,111,115,123,130,138,140,173,203,188,183,188,156,82,28,43,35,42,65,97,127,126,119,104,69,61,91,102,109,112,115,123,129,138,142,153,193,201,169,164,192,155,34,19,18,23,25,53,111,118,108,94,78,73,89,101,108,110,115,122,129,137,140,148,183,188,182,151,180,122,43,23,19,31,22,49,116,129,126,117,105,88,89,98,104,108,113,119,126,133,136,164,200,181,161,150,148,84,42,25,22,33,30,44,102,128,132,127,118,101,63,66,71,73,76,78,80,85,89,100,173,204,178,133,130,123,48,25,31,32,45,53,71,104,118,121,116,102,62,65,66,65,68,69,69,66,67,65,95,137,147,144,130,121,74,36,34,33,44,58,60,82,101,108,108,98,69,69,70,72,73,75,76,76,75,81,79,78,83,90,83,80,80,44,36,29,37,57,64,71,101,107,102,90,70,70,69,71,72,75,75,75,75,78,80,81,81,80,91,91,101,76,64,59,62,71,70,67,96,104,95,85,71,71,72,73,72,73,74,74,75,77,78,78,79,78,80,106,125,123,131,118,99,120,120,105,105,108,92,80,69,70,72,74,73,73,75,76,76,78,80,79,78,80,81,76,83,124,146,128,148,163,162,158,137,127,107,79,68,70,70,71,72,74,76,76,77,78,80,82,79,80,82,84,79,85,96,118,160,178,168,161,142,118,101,87,69,69,70,71,71,74,75,75,76,77,79,81,80,80,80,83,82,81,79,86,104,120,145,126,111,98,94,109,68,69,70,71,72,74,75,75,76,77,77,77,78,79,79,80,82,83,84,82,78,79,111,96,106,123,119,102
11,113,119,125,132,136,141,145,150,153,154,156,157,159,163,162,162,162,162,162,162,162,161,159,164,124,97,142,187,116,121,127,134,138,143,146,150,153,155,158,157,177,147,161,162,162,162,161,161,161,159,157,163,131,115,144,191,120,125,132,138,142,146,150,154,157,159,161,157,200,124,142,168,162,163,163,162,161,160,159,156,145,190,182,186,124,129,137,144,148,153,157,161,163,164,166,163,215,133,116,175,164,165,165,164,163,162,161,153,174,157,183,187,129,134,142,148,154,159,163,167,169,171,172,170,218,128,106,179,170,170,170,168,168,166,165,164,167,133,194,187,133,139,149,156,160,164,169,173,176,178,179,179,217,119,113,186,176,178,176,175,173,172,170,166,169,188,181,187,137,143,155,163,167,171,175,179,183,185,185,191,225,115,122,194,182,183,182,182,180,177,175,171,173,156,142,189,139,147,159,168,173,178,183,186,189,192,187,214,228,90,140,201,188,188,188,187,186,183,181,178,177,167,166,187,142,152,166,173,178,183,189,193,195,198,192,222,207,90,161,206,195,195,195,193,191,189,186,184,182,177,183,193,146,156,170,178,183,188,193,198,201,199,216,220,121,80,172,209,200,199,198,199,197,194,192,190,187,182,186,205,150,160,174,182,188,193,198,201,202,205,204,209,128,81,182,212,205,205,205,205,202,200,197,195,192,187,187,207,154,164,178,185,191,197,202,208,230,227,113,111,152,96,188,216,209,210,209,208,207,204,202,201,195,193,196,206,157,169,181,189,195,199,206,192,216,211,126,85,144,111,169,223,212,213,214,212,210,208,206,202,202,188,173,210,159,171,184,193,196,204,234,173,97,138,167,101,119,112,145,229,215,217,217,216,215,213,212,208,219,124,92,215,161,175,188,192,208,235,221,192,144,93,149,121,91,119,112,225,219,222,221,217,211,197,180,177,173,83,63,99,164,178,188,208,236,193,143,175,191,115,96,109,82,136,105,207,232,222,214,205,211,188,163,161,136,85,70,59,165,181,190,233,219,150,107,97,178,123,78,101,71,155,150,155,215,212,219,217,207,177,147,123,100,75,66,66,168,181,193,229,196,132,100,62,144,132,82,115,62,113,162,98,169,219,222,192,148,112,71,51,62,58,61,64,170,183,191,218,176,119,93,71,109,142,91,131,87,120,151,137,185,199,168,115,82,58,47,50,51,50,53,63,171,186,192,218,197,141,109,88,87,119,113,141,120,194,166,133,156,136,87,48,58,64,47,45,47,49,58,28,171,185,194,224,203,149,122,97,95,109,156,194,201,196,148,119,116,53,47,51,42,60,60,39,39,46,46,22,171,185,194,225,209,168,136,103,110,122,200,233,218,173,128,105,64,46,32,57,43,41,60,53,34,34,35,37,170,186,194,220,209,179,140,113,123,131,208,217,184,147,117,69,20,57,40,36,55,41,44,54,45,33,35,35,176,190,203,214,203,188,147,130,129,134,189,205,166,126,105,65,16,35,58,34,44,52,38,39,49,34,33,34,141,150,156,170,204,192,155,146,131,133,170,191,158,121,79,55,32,18,54,50,34,45,47,33,39,43,25,33,113,113,108,126,203,187,162,154,131,119,157,160,133,94,32,43,49,10,38,54,43,39,42,37,31,41,30,22,119,120,117,134,208,192,169,152,131,112,133,125,98,53,19,34,58,17,20,52,47,42,38,35,27,31,34,22,118,120,120,124,204,194,161,143,127,115,121,111,50,34,31,25,57,34,8,39,51,40,38,35,31,28,25,27
2,198,199,199,200,199,200,200,199,199,198,198,198,198,189,191,196,195,194,193,192,191,190,189,187,186,185,183,182,201,201,201,202,201,201,201,200,200,200,203,206,196,165,171,192,195,191,194,194,194,193,191,190,189,187,185,184,203,204,204,204,204,204,203,203,203,208,216,203,166,134,140,173,179,164,184,197,196,195,194,193,192,190,188,187,205,206,205,206,207,206,206,207,216,225,211,166,133,120,126,147,150,135,161,189,197,196,196,195,194,192,190,189,207,207,207,207,208,207,208,221,237,221,179,136,121,115,112,118,121,118,126,162,192,198,198,196,195,194,192,191,208,208,208,209,209,209,213,236,229,182,140,117,113,114,110,103,111,117,114,127,169,199,200,198,196,195,194,193,209,210,210,211,211,211,225,238,201,145,115,102,101,108,111,111,112,115,115,124,167,199,201,200,198,197,196,195,211,212,212,213,213,219,237,223,173,132,114,104,99,111,123,127,127,137,148,168,193,202,202,201,200,199,198,196,214,214,214,214,217,233,235,193,146,120,115,112,110,118,127,142,170,189,197,203,206,205,203,203,202,201,200,198,215,215,215,216,230,245,226,175,134,114,113,114,118,126,154,187,206,210,210,209,209,207,206,204,204,203,201,200,216,217,216,223,244,245,212,167,137,123,114,115,126,156,201,212,214,214,213,212,211,209,208,207,206,204,202,201,218,219,219,232,250,237,196,156,136,129,121,118,132,179,215,216,215,215,215,214,212,211,209,208,207,206,205,203,220,221,224,243,250,226,182,147,133,130,125,122,148,202,219,218,216,216,215,215,214,213,211,210,209,208,206,205,222,222,233,250,246,213,171,143,131,127,126,132,178,217,221,220,218,217,217,216,215,214,213,212,211,209,208,207,223,227,244,252,237,197,159,139,131,127,126,143,201,222,222,221,220,219,218,217,216,215,214,214,212,211,209,209,225,235,251,250,225,183,149,135,131,128,125,159,215,224,223,223,222,221,220,219,218,217,216,215,213,212,211,210,229,245,253,243,210,168,141,132,128,124,120,167,221,226,225,224,223,222,221,221,218,213,209,205,205,212,212,212,239,251,251,232,192,156,138,128,121,117,114,147,206,225,226,225,224,224,222,218,208,197,188,176,174,204,214,214,249,253,246,217,182,155,138,123,114,114,116,125,161,204,222,225,223,221,217,204,195,184,169,158,171,206,216,215,254,253,240,208,180,157,137,118,112,118,121,128,139,157,184,203,203,199,198,193,190,171,165,186,207,217,217,216,249,248,235,205,177,153,132,117,117,129,136,146,152,149,154,173,181,188,192,189,177,165,194,217,220,220,219,218,190,194,193,177,159,140,124,118,125,139,151,158,164,163,160,174,180,183,181,172,164,182,217,223,222,221,220,219,109,108,103,100,104,100,97,105,124,143,155,162,167,166,160,168,169,171,177,185,197,215,225,225,224,222,221,220,94,86,73,70,74,71,67,73,96,130,152,159,162,158,152,162,182,202,215,223,227,227,227,226,225,224,222,221,90,81,70,69,71,66,60,57,63,92,134,152,154,161,182,206,223,231,231,232,231,230,229,227,227,226,224,223,85,78,71,70,69,63,57,53,54,62,104,153,181,209,227,233,235,234,234,233,232,231,230,228,227,227,225,224,81,77,71,70,67,60,54,52,53,58,112,199,227,234,236,236,236,236,235,234,233,232,231,230,229,228,226,225,81,75,70,69,65,59,53,52,54,66,157,230,237,237,237,237,237,236,235,235,234,233,233,232,230,229,228,227
2,52,59,69,86,93,99,105,108,110,113,116,119,121,124,126,128,129,130,131,133,133,133,134,134,134,135,135,134,53,60,72,87,94,100,106,109,111,114,116,119,123,126,127,129,131,131,132,134,135,135,136,136,135,137,136,136,54,62,74,89,96,102,108,111,112,116,116,122,121,114,125,128,129,132,135,138,136,137,137,138,137,138,137,137,55,62,77,91,98,104,109,111,113,117,122,152,141,124,121,116,117,129,125,125,137,139,139,140,139,138,138,139,57,64,80,92,99,104,108,113,118,109,134,152,148,156,155,134,110,99,111,93,95,138,142,139,139,139,139,140,58,65,81,92,100,105,105,145,150,139,141,132,119,116,130,150,130,88,64,95,122,107,132,143,140,141,140,141,57,65,83,93,101,101,125,167,144,148,155,154,142,111,79,84,130,113,72,70,111,71,107,148,140,142,142,142,59,68,84,94,102,103,152,130,111,120,127,120,130,137,107,102,92,115,123,104,63,87,136,142,141,143,143,143,61,70,85,95,99,114,141,137,138,130,114,102,125,121,126,131,96,64,110,106,65,135,145,142,142,144,144,144,62,70,88,96,105,148,149,151,143,137,132,127,131,85,64,85,67,83,87,76,97,144,142,143,142,145,145,144,62,72,90,92,144,154,129,118,101,81,86,88,76,62,49,56,119,144,138,134,145,143,144,146,144,145,146,145,62,75,87,108,166,124,87,68,50,46,48,48,56,55,48,63,145,140,143,146,144,147,148,142,143,149,146,146,63,77,83,143,147,101,72,47,38,49,47,45,54,53,44,56,142,142,142,144,150,130,103,93,90,118,149,145,65,72,110,168,114,78,56,47,45,45,44,51,50,45,40,44,138,145,144,150,112,80,89,96,97,75,137,150,68,70,145,154,99,75,63,55,44,42,46,49,45,44,49,36,114,152,150,118,80,102,111,110,92,78,143,150,67,74,150,136,93,74,62,48,39,42,46,50,49,50,50,45,64,150,143,81,103,113,108,90,93,135,152,149,66,79,150,130,94,70,51,41,40,41,47,54,55,55,59,64,54,65,101,89,108,106,78,103,152,153,150,150,67,81,152,128,90,62,48,45,40,43,52,57,62,66,73,78,77,45,78,105,97,74,68,149,154,151,152,151,66,85,154,127,98,73,56,47,40,45,54,65,74,79,85,86,88,66,90,100,85,57,105,160,151,153,153,152,66,90,150,120,99,74,61,53,43,45,56,74,87,88,92,95,97,77,84,100,79,64,141,157,154,154,154,153,68,90,146,118,99,78,68,61,48,46,60,85,94,97,101,105,99,85,74,100,70,73,157,154,155,155,155,155,70,88,139,117,99,86,75,64,50,46,65,91,99,102,102,105,96,82,75,71,70,128,160,156,158,158,157,156,71,86,132,114,101,90,76,64,53,48,68,89,94,97,96,96,88,76,62,94,147,161,157,158,159,159,158,157,73,82,127,117,100,88,74,62,55,55,73,85,86,86,87,88,79,58,99,163,158,155,158,158,158,158,158,158,73,81,125,122,101,86,71,65,61,61,79,81,82,82,82,76,60,89,153,154,153,154,157,158,157,158,159,158,73,82,135,123,99,85,77,72,67,63,76,75,75,73,61,71,111,154,155,154,156,157,158,158,158,159,157,156,69,118,135,128,103,88,82,75,68,59,60,61,60,63,104,140,156,153,154,155,156,157,157,158,159,156,159,165,88,146,102,123,108,86,75,68,60,54,53,54,45,73,155,149,149,153,154,155,156,157,157,159,158,160,160,162
17,166,168,170,172,174,175,176,176,178,178,178,178,178,177,176,176,176,175,174,174,172,172,170,168,167,165,163,161,167,170,172,175,176,177,178,178,180,180,180,180,180,180,179,179,179,177,177,177,174,173,172,170,169,167,165,163,170,173,175,177,179,179,180,181,181,182,183,183,183,183,182,180,180,180,180,179,177,176,174,172,171,169,167,166,172,175,177,179,181,182,182,183,184,184,185,186,186,186,185,183,185,181,177,181,180,179,177,175,173,171,169,168,174,177,179,181,182,184,185,185,186,186,187,188,187,188,186,193,193,160,150,184,182,181,179,178,175,174,172,171,176,179,181,183,184,186,187,187,187,188,189,189,189,189,187,200,213,142,127,184,184,183,182,180,179,177,174,173,179,181,183,185,186,188,189,190,191,191,191,191,191,191,190,195,227,168,134,186,186,185,184,182,181,179,178,176,181,183,186,187,188,189,191,193,193,193,193,195,194,194,193,198,240,199,147,185,188,187,186,184,183,182,181,179,183,186,188,190,191,192,193,194,195,195,195,196,196,195,195,206,248,219,153,177,191,189,188,187,186,185,183,181,185,187,189,192,194,195,195,196,197,198,198,198,199,198,194,214,244,222,156,167,195,192,190,189,188,187,185,183,187,189,192,194,196,196,197,198,199,199,198,200,221,219,191,192,228,227,162,159,196,194,193,191,189,188,187,185,188,191,193,196,198,198,199,200,200,205,208,203,235,231,209,175,193,208,168,153,197,195,194,194,192,190,189,187,190,193,195,197,199,200,201,201,203,234,244,207,191,217,217,224,219,172,141,143,197,197,197,195,194,192,190,189,192,194,197,199,200,201,202,203,208,236,223,211,175,180,169,215,230,185,126,127,195,200,199,197,195,194,193,191,193,195,199,200,201,202,204,205,212,231,174,183,189,134,113,140,227,214,144,112,187,202,200,199,196,196,195,193,194,197,199,201,202,204,206,206,216,228,182,167,157,132,127,119,215,238,174,110,170,204,201,200,198,197,196,194,197,199,200,203,205,207,208,207,221,240,211,176,156,153,158,151,210,248,196,125,164,205,203,202,201,199,198,196,199,200,201,204,207,208,209,208,225,240,193,166,165,180,184,198,237,244,203,138,162,208,205,204,203,202,200,191,199,200,203,205,207,208,209,209,223,241,207,183,179,196,198,236,254,233,193,142,161,210,207,206,189,161,150,129,199,201,203,205,207,207,209,209,222,249,223,195,181,202,217,250,252,226,181,137,164,210,208,193,131,111,107,101,199,201,203,206,208,209,210,211,220,251,234,212,189,208,238,254,243,216,172,130,161,210,205,156,107,104,101,99,199,203,205,207,209,210,212,213,219,251,245,225,206,208,240,252,233,208,166,122,163,211,165,108,90,80,72,61,200,204,207,209,211,213,213,214,217,249,251,235,223,214,232,246,223,201,164,115,149,153,109,91,81,64,60,49,202,204,207,210,211,214,214,214,216,243,254,242,231,215,212,232,212,198,156,112,106,105,99,91,75,54,49,50,192,195,199,202,204,206,208,209,210,227,254,244,226,204,196,208,200,196,151,106,87,94,93,94,85,58,42,42,131,134,138,139,138,138,141,143,145,170,249,238,212,188,184,190,198,187,138,96,69,78,81,81,94,75,44,35,111,114,115,113,113,113,112,112,113,135,239,218,191,176,178,186,193,168,114,84,68,54,70,67,85,89,56,34,118,120,120,117,120,122,121,120,122,96,206,211,186,175,183,182,175,143,86,36,52,46,54,58,70,89,68,39
2,190,191,190,191,190,190,192,192,191,192,193,192,191,191,191,191,192,189,189,189,188,188,188,187,186,185,184,183,193,193,193,193,193,193,194,194,193,195,195,193,194,194,194,195,192,194,192,190,187,188,189,188,187,186,185,184,195,194,195,194,195,194,195,195,196,196,196,195,190,184,175,169,150,165,200,195,191,190,189,188,188,187,186,187,196,195,196,197,197,196,196,195,197,197,193,180,153,128,107,87,83,113,170,165,188,192,191,191,191,189,187,188,198,198,198,198,198,199,197,197,193,190,170,130,97,81,76,57,57,67,101,85,179,195,194,193,193,191,192,191,199,200,200,199,200,200,199,192,183,162,118,79,58,52,49,49,54,68,77,81,174,198,194,194,195,193,191,192,200,201,200,199,201,200,199,186,177,117,66,49,44,47,54,45,47,55,66,76,94,197,195,194,194,194,192,193,201,201,200,199,200,201,196,188,155,92,46,37,46,50,50,46,58,70,75,84,145,201,196,197,196,196,195,195,202,202,202,201,202,203,193,186,128,69,42,49,48,39,54,65,59,64,102,174,200,198,199,199,193,180,189,196,202,202,203,202,203,202,193,180,123,72,46,56,43,55,62,58,91,171,197,203,201,200,201,196,173,138,150,201,203,203,204,204,207,197,197,175,123,76,55,44,49,72,70,133,195,206,202,201,201,202,198,173,166,106,160,202,205,205,205,206,199,185,202,171,119,74,58,40,60,63,121,215,205,203,203,202,202,203,183,165,148,98,193,200,208,207,206,208,188,174,203,173,130,82,53,44,59,61,181,209,204,205,205,203,204,204,168,167,114,113,206,200,208,208,208,210,184,171,207,179,144,91,52,50,53,110,215,207,208,208,206,206,205,189,161,156,102,124,208,202,208,208,209,211,182,185,214,184,151,106,60,52,47,150,219,211,211,211,208,208,189,170,171,152,88,126,210,203,208,208,209,214,183,194,217,186,156,117,66,51,50,145,205,186,178,187,200,191,168,174,166,123,85,181,205,204,209,210,211,212,180,199,217,183,157,129,73,49,60,80,111,124,131,135,143,134,156,160,130,89,170,207,203,204,210,211,212,213,179,199,215,185,163,132,80,53,65,92,124,143,144,126,122,114,124,122,83,161,210,205,206,205,210,212,211,213,176,199,212,192,168,133,84,70,76,117,135,152,139,121,103,98,96,75,142,212,206,208,207,206,211,212,213,210,179,199,210,194,166,132,95,83,75,118,128,140,134,114,94,86,66,111,211,209,208,208,207,207,213,213,215,210,185,202,206,196,163,129,102,93,76,105,119,122,121,104,88,69,90,196,213,210,210,209,209,208,214,214,215,208,193,206,204,200,164,124,104,91,74,102,103,104,99,88,73,124,197,215,211,210,210,209,209,208,216,215,216,206,200,208,200,194,153,109,93,82,73,97,88,92,78,79,161,214,215,213,210,210,210,209,209,208,215,214,215,201,201,207,196,183,140,93,83,78,77,91,77,74,87,177,219,214,214,212,211,212,211,210,210,209,213,214,215,202,195,199,195,187,150,89,87,88,83,82,60,106,195,217,216,214,215,213,212,212,211,210,210,209,214,215,214,201,198,191,196,198,166,87,93,95,90,64,105,209,214,214,215,214,212,212,212,212,210,208,208,208,214,215,209,203,210,198,202,200,173,90,96,99,89,93,201,218,215,215,215,214,213,213,212,212,210,209,208,207,215,216,206,207,209,208,204,197,171,97,90,93,83,157,220,216,216,216,216,216,213,214,214,213,210,211,209,208
7,164,163,164,164,164,164,163,163,163,162,161,160,159,159,157,156,156,155,153,151,150,149,147,145,144,142,140,139,165,165,165,165,165,165,165,165,164,164,163,163,162,161,160,159,158,157,156,153,152,151,150,148,146,144,141,140,166,166,166,166,168,167,167,167,166,166,166,165,164,163,162,160,159,159,157,155,154,152,152,150,147,147,144,143,167,168,168,167,169,169,168,169,168,167,167,167,165,165,163,161,162,160,160,161,158,157,155,151,150,149,146,145,170,170,170,170,170,170,171,171,170,169,167,167,166,168,167,167,164,159,153,145,144,141,150,156,152,151,148,146,171,171,170,170,170,170,170,171,170,171,172,173,167,156,147,134,131,128,109,103,146,139,119,156,154,153,151,148,172,172,172,172,172,173,175,176,173,165,154,140,127,117,96,107,108,98,96,96,118,106,115,165,156,154,152,149,172,173,173,174,175,167,154,140,134,124,115,108,110,103,88,89,84,73,79,64,56,86,114,114,145,157,153,151,173,173,175,168,141,118,109,110,113,117,116,110,100,80,83,77,75,79,80,76,75,67,58,78,93,156,155,152,174,178,166,141,131,106,95,105,96,90,87,86,89,96,109,101,72,83,90,71,68,54,49,69,71,152,158,154,176,158,142,143,132,103,86,77,74,84,97,112,119,115,104,90,57,61,61,41,42,44,51,71,120,161,157,155,149,136,141,140,129,122,112,114,116,122,125,112,107,97,88,62,42,49,73,98,122,140,156,165,166,160,158,156,134,137,140,135,133,130,115,105,97,98,95,80,75,72,68,80,111,147,171,176,175,171,166,164,162,160,159,157,137,142,138,137,138,121,86,58,67,66,52,41,32,68,165,180,181,178,171,169,168,167,165,165,164,161,158,157,143,142,140,135,116,101,60,41,47,33,27,26,27,20,74,179,172,173,173,172,171,168,166,166,165,162,158,156,141,143,135,113,106,93,67,58,39,28,29,27,28,15,64,174,175,172,172,171,169,166,165,165,163,160,161,164,143,141,125,112,104,100,106,103,57,30,33,35,21,71,174,174,174,172,171,170,168,165,163,161,161,166,150,112,144,135,113,101,97,100,110,93,43,29,26,12,53,178,178,175,176,173,172,171,169,166,168,171,161,131,61,29,135,110,88,89,86,87,88,57,33,23,21,21,44,183,174,176,172,171,170,169,175,171,148,110,67,35,30,25,110,95,93,96,89,78,68,54,46,30,32,15,90,182,173,176,182,180,179,177,127,75,48,31,27,28,30,22,100,102,101,96,77,54,55,72,62,32,22,92,189,183,184,172,132,119,118,85,43,37,27,28,28,29,30,18,102,94,79,60,48,52,67,75,46,26,57,124,126,114,101,62,29,30,23,28,25,33,31,11,21,28,30,18,85,66,59,59,59,60,55,39,33,66,76,61,50,46,46,25,13,31,17,28,20,18,24,5,12,23,29,13,75,71,73,68,56,46,40,44,78,94,73,55,46,40,31,32,6,19,16,14,16,16,16,2,7,19,25,7,63,61,58,51,43,46,67,86,85,68,51,38,33,26,24,21,12,3,17,7,12,12,10,2,7,18,22,4,41,48,54,58,69,80,85,83,72,36,28,31,27,17,21,17,15,0,8,5,6,12,6,1,10,15,21,0,80,85,87,92,86,81,81,73,43,28,15,21,25,14,15,10,12,0,0,6,3,13,3,1,11,14,18,0,85,87,84,87,82,81,74,53,19,19,16,11,23,7,9,3,8,0,0,4,5,12,0,5,10,16,17,0
21,83,100,119,134,144,147,159,168,175,181,184,188,190,194,196,198,200,201,200,200,199,198,197,196,195,193,192,192,82,101,121,135,144,149,162,171,178,183,187,196,197,197,202,204,205,206,206,205,204,203,202,201,200,200,198,197,84,102,122,137,146,151,163,173,179,192,198,142,182,209,205,208,210,210,210,210,208,211,211,206,207,205,203,202,86,104,124,139,147,152,165,175,179,197,206,133,120,216,208,211,212,212,213,214,216,167,189,216,209,209,208,207,87,106,125,140,147,155,168,177,183,193,213,168,93,192,216,211,215,216,216,217,230,151,119,223,214,214,212,212,89,108,127,143,149,157,170,179,187,191,225,188,96,153,225,215,218,218,218,219,237,170,96,210,222,217,217,217,90,111,129,145,151,159,172,181,190,191,224,205,103,113,225,218,220,220,222,225,239,173,95,191,229,219,220,219,91,113,131,147,153,161,173,183,190,193,213,214,127,96,206,223,222,223,224,228,236,163,98,179,233,222,223,222,94,114,133,149,154,163,176,185,193,198,207,232,169,101,176,232,222,226,226,230,231,169,104,178,235,222,225,225,95,116,136,151,157,166,179,189,195,201,204,238,189,110,141,234,224,227,228,234,233,177,106,186,237,224,224,224,97,119,138,153,157,168,181,190,197,203,203,239,201,115,114,225,228,229,229,238,222,167,108,195,235,228,234,239,99,120,140,155,159,169,182,191,198,204,205,237,217,136,104,204,233,230,230,244,207,155,102,217,249,231,200,156,100,122,142,156,160,172,183,193,200,205,207,229,240,174,114,173,239,230,231,247,212,154,105,183,139,93,68,51,103,124,144,158,162,174,186,195,201,207,209,216,225,184,120,141,239,231,235,245,202,158,96,55,44,46,49,62,103,125,145,158,164,175,188,195,202,206,218,208,157,138,126,118,229,234,237,230,187,149,78,45,47,50,39,46,102,125,145,157,163,174,187,196,202,202,232,219,180,193,124,93,203,236,216,203,175,128,69,38,34,51,47,35,104,126,146,158,163,175,188,195,204,205,239,244,224,222,141,95,121,171,181,182,150,106,48,51,29,37,54,43,104,127,147,158,164,177,189,196,203,204,238,254,243,214,155,110,89,106,151,167,135,95,22,41,49,24,41,49,102,125,147,159,164,176,188,196,209,168,167,215,241,217,190,135,117,112,106,119,117,91,20,18,54,41,27,41,113,129,147,157,164,177,187,201,229,172,143,135,209,184,202,169,148,151,107,75,93,89,34,4,36,55,34,31,109,108,114,118,120,127,119,180,243,215,186,126,133,161,145,175,163,154,133,92,73,78,51,4,18,48,49,37,110,110,111,111,113,117,103,183,217,223,203,151,98,106,112,92,135,160,156,130,94,66,60,12,7,36,50,44,114,116,115,116,119,122,109,186,187,166,210,169,105,70,111,77,71,181,190,166,137,91,63,27,3,23,47,44,115,117,116,118,120,122,110,197,213,156,169,188,118,92,90,100,73,144,224,196,164,124,85,45,6,11,40,46,116,116,116,117,119,122,112,198,212,170,114,144,152,140,99,108,105,152,175,223,189,142,105,76,18,2,30,47,115,117,116,116,118,123,110,183,215,152,109,102,138,163,120,128,140,183,164,205,210,158,116,95,35,0,15,41,115,116,116,117,118,122,110,156,212,158,146,124,111,138,146,161,179,195,226,202,187,136,126,100,45,12,4,29,114,115,115,117,117,120,113,137,221,190,162,128,127,143,166,184,219,220,224,195,161,98,118,93,46,28,2,13
23,169,169,169,168,169,170,169,169,167,167,166,165,164,163,162,163,162,161,158,158,157,155,153,152,152,146,55,35,172,171,171,170,170,171,171,171,170,169,169,168,166,165,165,164,163,162,160,159,158,157,155,153,156,140,42,32,172,172,172,172,173,173,173,172,173,171,171,171,169,168,167,166,164,163,163,161,160,159,158,155,163,118,32,31,175,174,174,175,176,176,176,176,174,172,171,171,172,170,170,169,168,165,164,164,163,162,160,155,166,99,24,26,178,176,177,177,178,178,177,177,176,175,175,174,165,167,169,167,162,169,168,165,165,163,161,158,163,76,24,20,178,179,179,178,179,178,178,178,177,176,177,165,137,131,143,142,130,114,162,168,165,164,163,161,159,56,25,15,180,180,181,181,181,181,179,180,179,179,172,154,159,139,137,147,143,91,104,179,165,166,165,163,166,73,23,17,182,181,182,182,182,183,182,181,181,180,172,159,144,111,92,119,111,111,69,138,177,166,166,163,170,99,30,19,183,182,183,183,183,184,184,182,182,178,174,154,128,84,114,130,134,109,98,71,150,173,166,164,168,123,88,23,184,183,184,184,184,184,185,183,183,175,170,139,130,86,177,184,183,153,110,78,129,178,168,167,167,141,117,59,185,184,184,184,184,185,186,185,183,169,162,127,124,117,187,180,180,185,173,158,173,173,170,169,169,150,102,138,185,186,185,185,187,188,186,188,179,166,155,119,111,146,170,158,156,143,151,182,175,173,171,170,170,153,127,132,187,187,188,188,188,188,187,187,166,157,147,133,136,146,149,150,152,134,84,169,172,173,172,171,171,162,147,144,189,189,189,188,188,188,189,167,142,142,148,157,165,172,171,163,149,125,83,157,161,143,173,172,170,171,156,117,189,190,190,189,188,191,182,165,152,145,146,148,157,153,143,135,125,125,92,133,172,124,145,179,171,170,170,131,190,191,191,190,190,191,181,164,153,142,136,142,148,150,153,149,133,123,98,73,137,105,123,183,171,171,170,165,191,192,192,192,191,194,175,168,171,149,141,141,147,152,146,144,142,89,68,43,83,61,120,185,172,173,170,170,193,194,195,196,193,197,169,167,168,144,137,144,152,153,148,145,132,79,49,38,45,70,170,177,175,173,171,169,194,195,195,195,194,198,170,153,166,159,159,160,156,154,145,133,100,65,52,46,53,161,184,176,176,175,173,171,193,194,194,194,193,197,169,149,175,168,162,157,133,120,106,79,75,68,53,43,136,189,176,177,177,175,173,170,194,195,194,194,194,197,167,152,169,160,153,143,118,83,51,55,76,62,46,72,182,178,177,176,174,171,172,172,195,196,196,195,194,199,167,153,160,152,152,145,119,73,43,58,55,53,46,113,191,177,177,175,173,177,172,153,195,196,196,196,195,199,165,154,156,151,155,153,111,58,39,41,47,60,51,152,189,178,177,182,181,146,111,120,195,195,195,196,194,199,165,152,154,162,165,144,95,66,48,51,64,60,71,183,181,185,182,143,106,67,114,127,201,202,203,203,201,206,164,147,156,168,161,129,92,72,53,55,70,50,121,199,183,157,105,52,48,49,121,136,149,153,156,159,164,171,146,147,162,168,156,120,87,74,56,55,58,69,178,156,102,60,45,46,45,38,101,147,93,93,91,91,93,91,125,153,160,162,147,113,85,72,55,52,55,74,91,60,39,53,42,45,36,36,64,147,107,107,109,108,104,103,137,153,154,150,129,104,77,66,52,48,57,54,56,43,37,54,39,39,37,38,35,102
7,205,208,209,211,212,213,215,216,217,218,217,218,217,217,216,217,218,219,218,218,218,216,215,214,213,210,208,207,208,208,210,213,215,216,216,219,218,218,219,220,219,219,220,220,220,221,220,220,220,219,218,216,215,214,212,211,208,211,213,214,216,218,220,221,221,221,221,222,222,223,223,223,223,222,221,222,222,221,220,218,217,216,215,213,209,213,215,217,218,220,221,222,223,222,223,224,224,225,224,224,224,224,224,223,224,222,221,220,219,219,217,216,212,216,218,220,221,221,222,224,224,225,225,225,224,227,226,225,226,226,225,225,225,224,223,222,221,221,220,217,214,217,219,221,222,224,225,226,226,227,227,226,226,228,228,228,228,227,227,227,226,226,225,223,223,223,222,219,216,218,221,223,223,225,227,228,229,228,230,229,229,229,230,230,230,229,229,230,229,228,227,226,226,224,225,223,216,219,222,223,225,227,228,229,229,232,230,230,232,231,230,231,232,231,231,231,231,229,230,225,223,225,224,223,218,220,222,224,225,227,228,233,239,241,216,193,209,223,225,223,225,230,227,228,223,227,219,231,240,222,225,222,221,222,223,225,229,236,240,240,243,242,234,190,172,199,211,210,212,205,203,211,208,217,206,227,215,214,230,224,220,224,235,240,243,242,239,236,229,225,221,186,163,178,196,205,205,201,199,196,192,199,188,184,179,216,226,226,237,245,243,242,239,233,227,217,211,219,228,199,163,155,160,174,189,201,194,192,200,199,193,204,202,203,221,212,254,247,239,233,226,221,216,214,217,225,231,204,167,165,165,158,156,147,160,171,171,178,173,176,184,184,183,206,250,243,233,222,212,207,206,209,214,225,213,184,161,159,174,182,174,148,170,230,221,215,212,211,209,211,219,235,244,239,233,220,211,208,209,204,201,214,219,191,151,139,159,170,171,169,152,237,245,242,244,243,241,240,238,235,238,236,234,225,219,213,214,213,210,216,228,201,167,167,171,160,160,140,180,249,239,241,240,239,238,237,236,236,233,229,226,225,224,218,214,211,211,216,220,200,176,181,183,172,169,151,237,245,242,244,242,241,240,239,239,238,217,214,218,223,224,222,215,209,208,207,191,178,164,157,165,170,146,202,255,241,243,244,243,242,242,241,240,240,126,136,166,203,223,217,204,195,185,173,165,155,117,99,120,151,149,238,247,243,244,244,242,240,239,239,245,214,67,65,73,98,146,180,168,174,182,199,224,238,155,113,138,156,211,250,245,246,245,243,240,244,247,252,207,138,68,63,60,55,57,70,192,241,246,251,249,254,235,191,217,237,251,247,247,246,244,244,252,235,196,176,134,114,61,56,54,57,39,96,255,244,245,245,246,245,248,252,251,248,246,249,248,246,249,248,210,151,130,120,111,98,55,52,49,51,34,100,255,242,245,246,247,247,246,245,246,246,249,248,247,250,246,169,108,106,123,112,104,98,52,54,51,52,26,92,255,244,248,248,249,250,251,250,249,251,250,250,252,253,195,127,98,80,99,99,93,96,60,63,58,49,17,83,243,230,237,239,240,241,243,243,244,246,246,248,245,167,113,134,97,70,77,93,86,88,71,65,51,29,23,57,151,148,151,153,155,159,162,163,165,168,166,172,170,117,92,128,94,64,68,78,79,80,78,58,34,27,27,75,143,133,133,135,135,135,136,136,136,134,133,151,150,106,85,120,90,61,65,71,74,75,71,41,29,35,29,102,155,144,146,148,147,146,146,145,145,143,147,135,118,102,83,111,83,63,61,67,69,71
12,189,190,191,194,195,195,196,198,199,199,199,198,198,198,197,196,196,196,196,194,194,194,194,193,192,191,191,191,191,191,193,195,196,197,198,199,200,200,200,200,199,199,199,199,198,197,197,196,196,196,195,194,193,192,192,192,192,193,194,195,197,198,200,200,201,200,201,201,200,201,200,200,200,198,198,198,196,197,196,196,195,195,194,193,193,194,195,197,199,200,200,201,202,202,201,202,204,203,202,202,202,204,200,199,198,198,198,197,196,196,195,194,194,195,197,198,200,200,201,203,204,204,203,203,200,204,206,202,189,182,199,204,203,201,199,200,197,196,196,196,194,196,199,199,201,202,203,204,204,205,206,205,180,158,196,207,175,124,145,201,181,195,205,199,200,199,198,197,196,198,200,201,203,205,206,206,207,205,214,217,182,136,138,205,161,139,108,163,151,121,172,205,199,200,199,198,198,200,201,204,205,206,208,207,206,204,214,208,169,135,117,205,170,149,113,148,155,115,110,194,202,200,200,200,200,200,203,205,206,205,206,208,215,179,184,208,161,126,113,216,208,163,132,146,146,122,103,182,207,200,201,201,201,202,204,205,206,207,207,230,219,185,153,200,197,129,103,234,228,155,136,182,159,127,101,189,208,201,202,202,202,204,205,207,208,208,217,245,220,197,137,196,229,138,114,184,179,116,162,209,158,116,103,198,208,205,204,203,203,205,206,206,210,206,224,234,220,192,136,152,193,137,123,133,168,152,176,175,122,91,124,212,206,207,206,205,204,206,207,208,209,211,240,224,194,161,134,101,113,114,132,148,190,217,184,149,126,93,177,215,206,208,207,206,205,206,209,211,208,232,237,217,170,135,125,100,76,145,214,210,202,190,167,157,156,107,188,214,208,208,207,207,206,207,210,212,208,236,242,204,164,164,133,82,135,228,226,216,195,184,158,150,145,108,191,217,209,209,208,207,206,208,211,213,210,240,243,197,161,185,144,137,215,237,227,215,195,177,163,143,128,105,204,214,212,211,210,209,207,208,211,213,214,246,241,212,200,175,181,205,233,232,224,209,192,170,158,136,117,98,200,216,212,212,210,210,208,210,212,213,218,246,241,223,218,186,180,211,233,227,214,205,183,160,148,130,112,93,193,220,213,213,212,211,210,211,213,214,217,243,241,229,221,191,190,217,223,216,202,194,171,153,140,122,105,92,204,219,214,215,213,212,210,212,213,216,217,239,239,233,219,195,182,211,212,203,198,185,160,142,127,116,87,143,223,214,216,214,214,213,211,212,214,216,214,235,237,232,218,187,178,194,198,197,188,173,148,131,123,99,127,220,218,216,216,216,215,214,211,213,213,219,222,228,234,230,200,169,179,192,196,199,184,163,148,133,109,128,218,220,217,217,217,216,216,215,211,212,219,200,186,229,221,208,191,187,193,192,203,201,180,152,146,124,101,204,225,218,218,217,217,216,216,215,212,213,224,151,85,206,233,214,210,201,186,179,201,191,159,140,136,98,168,229,219,220,220,219,218,218,217,216,212,219,197,129,112,124,205,217,207,193,176,165,186,166,141,133,105,136,230,221,222,221,221,220,220,218,218,217,211,224,159,115,133,92,111,139,133,129,126,130,148,138,127,111,105,217,226,222,222,222,222,221,221,219,219,218,214,208,131,119,129,106,67,98,93,90,81,78,79,85,92,77,101,211,226,222,222,222,222,221,220,219,219,219,219,170,119,121,125,117,59,83,95,91,83,81,77,74,70,66,55,168,234,220,223,222,221,221,219,218,219,218
17,155,157,159,163,165,165,166,168,170,171,172,173,174,177,176,178,179,178,179,179,180,180,179,178,178,178,179,177,157,160,162,165,166,169,170,171,171,172,173,174,176,176,179,178,179,179,180,181,181,181,180,179,179,179,178,177,161,165,165,168,170,171,173,174,174,174,176,175,193,157,157,185,180,181,181,182,182,183,182,181,181,181,180,179,165,167,169,173,174,174,175,177,178,179,177,186,187,127,130,190,182,185,184,184,184,184,184,183,182,182,181,181,169,172,174,176,178,178,179,180,181,182,181,190,201,123,127,195,184,187,187,186,187,187,187,187,185,185,185,184,173,176,178,180,182,183,184,185,185,186,184,196,217,153,117,189,188,189,190,189,190,189,190,189,188,186,187,187,177,180,183,185,187,187,187,188,189,191,188,204,221,170,102,166,198,191,193,193,193,193,194,194,193,189,188,188,181,185,187,188,191,191,192,192,195,196,191,213,213,184,123,141,204,194,196,196,196,197,197,196,195,193,192,192,185,188,190,193,194,195,196,197,198,199,193,223,194,202,144,120,201,200,200,201,201,200,200,199,198,197,196,196,189,192,195,197,198,198,200,201,201,202,202,227,175,213,157,113,195,206,203,205,205,203,203,203,201,200,199,198,192,195,197,201,202,203,204,204,204,202,198,231,186,226,188,119,182,213,206,207,208,208,207,206,205,204,202,201,195,198,200,204,204,205,206,207,209,214,184,159,161,218,201,130,166,218,208,211,211,210,209,208,207,206,206,205,198,201,204,205,206,207,209,207,222,232,200,149,108,175,198,135,152,221,210,214,214,214,212,211,209,209,208,207,201,203,206,207,209,210,211,212,217,191,189,188,162,144,154,131,137,223,213,215,216,216,215,215,213,212,210,209,202,205,208,210,212,212,213,216,221,167,173,202,214,184,115,106,126,221,216,218,219,219,219,218,216,214,213,213,205,209,211,214,214,214,213,219,241,225,166,176,200,167,106,95,108,210,222,221,221,221,220,219,219,217,215,215,207,210,213,216,216,216,221,210,169,240,186,119,182,173,117,96,91,188,230,221,222,223,222,222,221,220,219,216,208,212,215,216,218,218,230,197,131,166,195,90,138,206,132,96,82,176,235,223,225,225,224,224,223,223,222,220,211,215,217,219,219,222,233,209,160,120,179,127,130,226,153,108,79,171,239,224,227,227,226,225,223,223,223,221,213,216,219,221,221,226,223,167,129,101,157,153,159,235,174,129,81,174,240,226,228,229,228,227,225,225,224,224,215,217,221,223,222,229,216,182,143,136,134,171,210,218,179,142,88,186,239,227,230,230,228,228,229,229,226,225,216,219,222,225,224,234,230,175,161,154,158,245,227,189,160,136,93,209,237,230,232,231,230,229,229,229,228,227,218,221,223,226,227,248,215,189,180,139,191,244,194,176,152,117,103,226,235,233,233,233,233,232,230,230,229,228,220,222,225,226,229,250,228,211,157,153,204,225,180,174,151,104,110,236,236,236,236,235,234,234,232,232,230,229,221,224,226,227,231,245,243,185,180,152,232,224,178,170,139,97,124,243,236,237,237,236,236,235,235,235,232,230,222,224,227,229,230,231,230,193,185,165,248,218,175,155,126,91,141,247,236,238,238,237,237,236,234,235,233,232,222,225,227,230,229,222,219,206,174,172,243,203,158,132,114,85,172,249,237,241,239,238,237,237,236,235,235,235,223,227,228,229,233,221,201,205,176,174,225,186,145,117,102,95,218,245,239,241,240,240,240,239,237,237,236,236
24,179,180,182,182,183,184,186,186,186,186,187,187,186,186,186,185,184,182,181,179,179,178,176,174,173,171,170,168,184,185,186,187,188,189,189,190,190,191,191,189,190,190,189,189,189,187,185,184,183,181,178,181,179,174,174,173,187,189,190,191,193,192,193,195,195,195,195,193,191,194,195,192,192,190,190,189,188,187,183,169,171,183,179,177,191,192,194,194,196,197,198,199,198,198,197,197,198,197,197,197,196,195,193,191,190,188,192,157,100,183,182,179,194,196,198,199,199,199,199,199,200,202,203,200,200,199,198,198,198,197,196,195,194,189,200,162,78,175,186,182,197,199,199,200,201,203,204,204,206,200,197,207,202,202,202,202,201,199,199,198,198,193,207,160,80,179,190,186,200,201,202,203,206,207,207,206,210,194,114,186,213,206,209,207,206,204,202,201,201,198,213,145,87,191,192,189,204,206,207,209,209,208,209,209,214,181,104,116,221,208,212,211,209,208,207,206,203,205,219,141,99,202,193,192,207,208,210,211,211,211,212,210,216,197,139,81,202,216,211,213,213,210,209,208,202,214,207,119,112,210,195,194,210,211,212,212,214,215,215,215,215,213,166,77,166,226,211,214,215,215,210,212,210,231,189,85,132,214,197,199,213,213,216,216,216,216,217,217,216,220,187,101,117,231,214,219,216,209,220,207,155,165,192,78,170,212,202,202,215,217,218,218,218,217,218,218,218,221,203,141,79,211,225,217,183,145,169,186,131,64,117,95,202,210,206,204,218,218,219,220,221,221,221,222,221,224,213,159,69,156,239,198,186,164,136,130,126,124,66,92,218,208,208,206,218,220,222,223,224,224,224,224,224,225,221,177,118,104,231,184,201,162,152,144,156,163,51,112,229,207,209,208,222,223,224,225,225,227,227,226,226,226,228,202,166,78,152,147,202,184,133,139,141,139,70,120,230,210,211,209,223,224,226,227,226,228,229,229,228,227,231,217,170,114,122,127,170,203,113,47,112,177,109,72,221,216,215,211,224,225,227,228,229,229,229,229,230,231,234,222,200,191,129,93,121,186,102,29,75,182,143,60,153,230,212,213,227,228,231,232,232,232,232,232,232,233,234,224,213,187,103,64,105,159,78,27,108,203,192,106,67,221,216,216,229,230,233,234,234,234,235,235,235,236,235,232,215,173,134,111,113,156,101,62,206,213,185,112,56,208,220,217,230,233,234,235,235,236,237,237,238,238,237,238,217,201,185,129,109,158,105,163,228,196,166,78,68,224,218,218,231,233,235,236,236,237,239,238,237,238,238,240,214,204,206,143,124,92,148,232,224,179,149,66,92,238,217,219,228,230,234,234,236,238,236,236,237,237,238,241,218,196,208,168,141,89,203,227,209,174,137,60,121,240,219,219,230,232,234,235,237,238,237,237,238,239,239,242,222,193,188,177,157,97,179,221,198,160,122,44,144,237,218,218,233,232,234,237,238,238,238,239,240,240,240,244,229,187,188,186,177,121,159,223,195,145,99,37,185,235,222,221,233,234,235,236,238,239,240,240,240,241,243,243,241,201,195,183,189,142,123,206,172,118,62,54,227,225,223,222,243,243,244,244,245,245,246,246,245,245,247,245,250,217,201,191,186,145,97,163,135,88,26,96,244,221,222,225,184,189,195,200,206,210,214,220,224,228,233,234,240,220,204,188,168,137,109,115,130,75,27,189,244,231,233,219,98,97,96,99,100,102,105,110,112,113,117,121,114,171,217,183,169,162,130,113,135,59,49,166,169,167,146,94
14,200,203,202,203,205,205,206,206,207,206,206,205,205,207,208,206,208,207,208,206,207,206,206,206,205,203,203,204,202,204,204,205,206,207,207,207,210,207,207,207,216,206,203,210,209,207,209,208,208,209,208,208,207,206,206,205,204,204,206,206,207,209,211,212,210,209,222,223,215,163,162,221,210,211,211,210,210,210,210,210,210,208,207,206,204,206,208,209,209,210,211,209,210,240,229,190,156,137,125,182,206,206,211,211,212,211,211,209,209,209,209,207,206,208,209,211,212,212,207,216,248,242,173,128,125,118,130,165,192,155,166,217,212,213,212,212,210,211,210,210,207,208,211,211,212,209,218,255,242,195,141,115,131,111,121,150,164,127,172,221,212,215,215,213,213,212,212,211,210,211,213,213,213,207,249,255,194,137,113,115,120,106,112,117,135,122,180,219,218,216,218,217,216,215,213,212,211,213,213,214,215,211,255,254,170,106,92,95,108,128,139,118,150,181,173,159,199,221,217,219,218,216,214,214,212,213,213,217,214,225,255,242,168,116,102,105,98,112,119,99,113,158,166,123,198,225,217,220,219,217,216,215,212,213,215,218,213,235,255,220,143,107,112,124,96,106,115,124,126,132,123,119,197,217,222,220,219,219,218,218,216,216,217,220,213,247,255,227,159,110,113,126,109,119,133,142,133,118,144,151,154,145,213,225,220,221,220,219,217,218,220,221,216,255,255,238,182,135,112,107,121,126,101,115,124,160,160,149,144,159,175,217,226,223,221,221,218,220,222,218,227,255,255,235,179,142,121,104,132,124,150,196,215,232,224,207,181,206,163,211,229,224,224,223,218,219,221,219,235,255,255,236,179,139,126,111,124,112,211,238,227,224,229,218,190,201,161,219,228,225,224,223,219,220,225,221,239,255,255,243,193,147,120,118,107,149,236,224,227,227,232,203,185,196,158,223,228,226,225,224,221,221,225,221,241,255,255,247,200,156,120,113,113,220,233,228,230,228,235,198,184,198,148,209,233,226,226,226,221,224,228,222,243,255,255,250,204,160,127,100,141,239,227,231,232,230,240,188,168,191,153,176,238,227,229,228,223,225,229,222,245,255,255,249,209,166,135,94,182,250,230,235,231,237,210,177,187,186,157,165,239,228,230,230,225,228,228,222,247,255,255,252,212,166,143,100,143,212,226,224,238,220,161,182,193,180,145,206,237,230,230,230,226,227,229,225,250,255,255,252,208,170,150,120,97,115,134,140,169,163,163,182,185,159,181,242,232,231,231,231,227,227,232,227,255,255,255,250,207,184,166,131,110,122,126,143,152,154,164,178,166,157,232,237,233,234,234,232,227,229,232,228,255,255,255,249,212,200,176,146,115,132,145,156,162,165,157,162,146,211,242,235,236,234,234,233,229,232,233,229,255,255,255,252,225,209,177,149,128,135,152,157,160,162,159,133,177,246,236,239,237,236,236,235,231,233,233,234,255,255,255,255,238,211,178,151,136,132,151,156,155,159,147,148,234,240,238,239,237,237,238,238,232,234,234,237,255,255,255,255,243,211,174,146,137,131,147,153,151,150,145,227,243,238,240,240,239,238,237,238,231,233,232,239,255,255,255,255,239,198,151,131,129,130,146,146,155,133,200,250,238,241,240,240,240,239,238,238,235,239,238,255,255,255,255,251,220,164,118,119,119,127,136,144,140,164,246,241,242,242,243,241,240,240,240,240,220,205,185,189,187,168,163,142,126,107,91,89,100,120,129,130,152,236,244,242,244,243,244,244,241,242,241,240
2,122,125,130,134,137,139,140,144,146,147,149,151,153,154,155,158,153,159,161,164,164,164,166,166,166,166,167,167,123,127,131,135,137,139,142,144,146,148,150,152,154,155,158,154,110,135,154,159,129,147,170,166,168,168,168,168,124,126,133,136,138,140,143,144,147,149,150,152,152,158,158,125,85,94,139,138,96,112,154,167,167,168,168,168,124,127,133,136,139,140,144,146,149,151,150,155,163,156,123,90,71,84,109,111,102,105,94,156,169,168,168,168,126,129,133,137,140,142,145,149,151,152,155,173,169,130,82,72,74,85,84,101,108,105,73,119,173,170,168,169,127,130,134,138,141,144,146,150,152,152,169,175,143,97,61,60,71,87,84,100,103,97,92,151,173,171,171,171,129,131,136,139,142,145,147,150,151,161,180,141,96,65,55,47,70,97,109,97,116,132,157,174,173,174,173,173,128,132,136,140,143,146,148,150,150,178,163,107,69,63,64,63,87,94,100,145,173,173,175,173,174,174,174,174,128,133,136,140,144,147,149,147,169,175,134,91,63,64,65,76,76,108,156,174,172,172,174,174,175,175,174,174,129,132,137,142,144,148,148,156,180,150,105,64,58,59,71,83,99,173,173,172,173,173,174,176,176,176,176,175,130,133,137,142,147,149,150,180,172,128,88,67,68,60,74,77,137,174,172,173,173,175,176,176,176,176,177,177,132,136,139,143,149,147,172,195,167,121,89,76,74,68,70,101,169,172,172,173,174,175,177,177,176,177,179,179,133,136,141,144,147,147,197,186,149,112,82,74,72,75,78,154,174,172,174,175,175,176,178,180,179,180,181,180,133,137,141,145,147,163,206,177,137,102,77,71,69,74,104,174,173,174,174,175,175,177,179,179,179,181,181,181,134,138,141,145,145,189,198,166,128,92,73,71,72,74,140,174,173,175,175,175,177,180,180,181,182,180,181,180,134,139,143,145,157,207,189,155,122,88,72,71,72,66,154,176,174,175,175,178,179,180,180,168,151,140,155,184,134,139,144,143,187,205,179,145,113,82,69,73,72,68,113,176,175,175,176,179,183,174,154,145,138,114,123,185,134,140,143,153,206,191,165,139,108,80,68,70,74,82,82,127,172,178,179,177,161,151,150,138,118,136,176,183,135,140,139,181,204,182,158,130,101,77,66,70,79,90,99,93,107,141,150,144,136,142,147,112,146,185,184,183,135,138,145,204,194,179,150,120,98,78,63,75,88,102,113,110,101,123,134,149,152,144,122,113,183,183,183,184,135,136,173,204,184,168,141,122,101,79,64,88,108,121,129,122,116,132,143,144,135,124,128,168,186,185,183,184,135,142,200,191,182,165,141,125,102,79,71,104,122,127,134,130,119,128,130,119,138,168,182,184,185,185,184,184,131,169,204,187,179,163,139,123,101,80,78,115,125,126,132,133,104,102,130,167,184,185,184,183,184,185,185,185,138,201,196,183,176,157,132,117,100,81,83,119,124,119,131,113,112,154,180,181,182,183,184,184,185,185,185,185,172,203,185,179,172,145,117,105,90,78,94,113,124,116,116,134,175,183,182,181,182,182,182,184,186,185,185,185,199,189,177,167,159,134,111,98,85,84,97,103,118,108,146,178,178,179,181,182,182,183,182,184,186,186,185,185,189,181,170,157,157,119,101,95,88,92,83,97,134,160,177,177,179,181,182,182,183,183,183,184,185,186,185,185,184,177,163,151,159,112,92,97,94,87,106,154,171,176,177,178,177,179,181,182,183,183,184,185,187,186,185,185
1,209,210,211,211,211,213,215,214,215,216,216,214,201,211,214,214,213,212,211,211,210,210,210,208,206,206,205,204,212,213,213,214,216,216,216,217,217,221,223,218,178,167,222,216,219,216,215,216,214,213,213,212,212,211,209,207,214,216,216,217,219,219,219,221,221,210,205,228,195,126,152,172,220,221,219,219,218,217,217,215,213,213,213,211,217,218,220,219,221,222,223,222,225,203,144,214,209,117,134,150,176,232,218,221,220,219,218,218,216,214,214,213,219,221,221,222,223,224,226,226,225,218,145,187,214,125,142,173,129,229,224,224,223,222,221,219,219,218,217,217,220,223,224,226,226,226,227,229,227,228,157,159,220,147,153,186,121,211,232,225,225,224,225,224,221,220,220,220,223,225,225,226,227,228,229,220,217,234,174,141,203,146,161,203,133,190,237,226,228,227,226,226,225,224,222,221,225,227,227,227,228,230,233,201,160,234,189,124,188,149,151,201,139,179,242,228,231,229,227,227,227,227,225,222,227,228,229,230,230,232,234,215,141,215,193,118,195,173,124,204,156,169,242,229,231,230,229,230,229,228,227,227,228,230,232,232,233,233,236,218,144,201,213,130,173,183,121,200,185,161,244,231,233,232,231,232,232,231,229,228,229,232,232,233,234,234,238,223,147,190,223,135,134,169,158,197,161,147,235,236,235,234,233,233,234,233,232,232,231,234,235,234,236,236,237,226,160,155,216,136,137,161,163,183,140,138,140,174,246,234,234,234,234,232,232,232,234,235,237,237,239,239,235,234,174,132,197,159,164,155,165,177,169,147,116,122,225,241,236,236,235,233,233,234,234,235,237,238,239,241,237,232,189,167,180,157,166,155,184,207,168,125,161,150,172,249,236,238,237,235,234,233,235,238,239,240,240,241,241,237,208,177,169,151,163,165,188,198,174,173,222,192,147,233,241,238,238,238,236,235,236,238,241,240,242,242,242,243,213,173,155,149,160,169,196,204,207,199,186,203,142,184,251,237,238,238,237,238,238,239,241,240,243,243,242,246,224,180,144,150,163,174,210,212,232,230,197,169,124,127,246,240,239,239,238,238,239,241,242,243,243,246,242,244,244,198,151,153,165,191,209,217,227,220,195,166,118,113,238,244,242,239,239,240,239,240,243,245,243,246,245,241,252,223,175,149,168,199,215,230,233,217,194,173,114,140,250,242,244,241,241,241,240,242,244,246,246,248,249,238,254,244,204,162,163,190,222,240,235,220,208,171,107,178,255,242,245,244,244,241,241,242,245,247,248,249,251,238,250,253,222,180,171,187,223,245,238,232,206,156,105,213,254,244,245,245,244,241,242,245,245,248,248,247,250,242,238,247,236,192,181,186,219,235,246,231,189,138,118,243,248,246,247,247,246,243,243,246,246,248,248,247,249,250,224,235,237,204,181,180,209,230,230,204,163,113,148,255,248,248,248,247,247,245,241,244,245,247,248,248,248,252,230,218,224,206,189,181,190,205,195,162,128,104,212,255,248,248,248,247,247,246,242,245,245,246,248,248,248,250,247,212,213,207,194,190,169,171,176,146,102,162,255,248,249,248,248,247,246,243,243,246,246,246,247,248,250,250,253,226,220,205,188,185,158,157,163,128,105,232,255,249,248,248,247,246,245,243,243,245,246,246,248,248,249,250,253,230,222,195,180,181,166,159,145,108,136,255,249,250,249,248,248,248,247,244,243,245,247,247,248,248,248,250,255,228,230,220,200,199,178,166,136,100,158,255,249,251,252,250,249,248,248,245
7,171,172,172,173,173,173,173,173,172,172,172,171,170,170,169,169,168,166,165,165,164,163,150,87,72,62,65,84,174,174,174,175,175,175,175,175,175,174,174,173,172,172,172,171,170,167,166,166,166,165,164,104,67,50,60,72,175,176,176,178,179,178,177,177,177,177,176,175,174,174,173,172,172,170,169,169,168,168,167,128,54,40,56,63,178,179,180,180,181,180,180,179,179,179,178,178,178,177,175,174,174,173,172,171,170,169,168,155,63,39,46,57,179,180,182,181,182,181,181,181,181,181,180,180,180,179,177,176,175,174,172,172,171,171,169,167,118,74,58,73,180,181,182,183,184,183,183,184,184,183,182,181,179,170,168,172,171,165,158,161,154,168,167,164,126,132,139,129,182,184,185,186,186,186,186,185,184,185,184,185,182,164,155,171,174,163,152,150,142,172,163,151,97,156,160,156,185,187,187,188,187,187,188,188,190,195,199,196,186,167,159,164,153,151,136,135,130,129,130,154,113,161,130,152,186,188,188,190,190,186,185,193,202,205,203,195,185,177,175,163,132,130,150,142,135,127,123,123,111,138,117,172,187,190,191,192,205,197,187,188,195,195,191,188,187,184,178,160,142,134,148,145,139,137,122,108,106,136,122,175,189,191,192,204,218,206,193,186,191,193,191,190,187,182,177,154,142,135,128,120,118,117,106,100,94,107,127,162,190,191,193,219,219,205,179,171,179,189,188,184,176,165,153,135,120,113,111,114,119,126,125,131,141,151,168,172,193,194,202,224,216,197,169,168,177,170,164,155,142,133,121,109,109,159,178,179,181,181,179,180,178,177,169,119,195,194,218,223,213,195,183,175,163,156,159,163,157,151,145,145,131,103,161,187,187,185,184,182,180,178,176,123,194,201,227,222,219,214,209,185,163,165,165,163,155,146,141,137,118,73,65,172,188,186,184,184,181,180,178,163,193,217,227,225,223,222,215,180,151,157,154,149,142,140,134,123,106,74,51,152,189,188,186,184,183,180,179,178,205,227,228,225,222,217,205,173,153,140,120,109,116,127,137,142,140,89,75,173,189,188,188,186,185,182,181,178,226,230,229,225,220,211,196,177,160,144,125,128,154,167,156,146,151,108,168,190,190,189,189,187,185,184,181,179,228,230,229,224,213,204,188,169,165,164,144,149,160,154,145,135,128,99,184,194,192,191,190,188,186,184,183,181,229,228,226,221,207,188,168,174,185,175,154,151,146,137,130,120,106,96,190,195,194,192,190,189,188,186,184,182,230,226,223,215,197,185,185,197,195,178,156,131,119,109,95,86,90,152,195,196,196,194,192,190,189,188,185,182,226,220,214,204,197,197,198,194,185,162,132,109,104,116,96,133,175,195,198,197,196,195,193,191,188,188,185,184,219,212,206,204,202,201,188,178,172,151,126,113,171,197,194,199,200,200,200,197,196,196,194,192,190,188,187,186,207,205,206,200,196,193,180,174,160,130,108,174,204,204,204,202,201,201,200,199,197,196,195,194,192,190,187,185,200,197,199,192,185,180,172,157,127,103,164,204,205,204,203,202,202,202,201,199,199,197,196,194,192,190,188,180,198,192,186,177,167,163,149,125,101,153,203,205,204,204,203,202,201,201,199,197,197,196,195,194,192,190,186,172,192,183,172,156,147,137,114,99,153,203,208,207,205,205,203,202,201,201,199,198,197,196,195,192,190,170,165,174,173,161,144,128,116,102,90,154,205,207,207,207,206,205,203,202,201,201,199,199,198,196,195,193,180,90,71,124
23,157,157,158,158,159,160,160,160,160,160,161,161,161,161,161,161,161,160,160,160,160,158,158,157,157,156,154,153,160,161,161,162,162,163,163,164,164,164,164,164,164,163,163,163,164,164,163,163,162,161,160,160,159,158,157,155,163,164,165,166,166,167,168,168,168,168,168,167,167,167,166,166,168,168,166,165,165,165,163,163,162,161,160,159,167,167,168,170,169,169,171,172,171,171,178,170,171,174,168,148,159,172,170,169,169,168,166,166,165,164,163,162,171,171,172,173,173,173,174,176,173,180,200,181,169,179,169,144,124,157,173,173,172,171,170,169,168,167,166,165,174,174,175,176,176,176,177,179,178,194,194,165,118,132,127,140,137,129,147,175,175,174,173,172,172,171,170,168,177,177,178,179,179,180,180,181,184,201,185,154,109,153,160,149,128,113,126,177,178,177,177,176,175,174,173,171,180,180,181,181,182,183,183,183,191,194,186,145,150,178,153,173,172,163,173,183,181,180,179,179,178,177,176,175,182,183,183,184,185,185,185,185,192,189,192,192,196,176,121,146,190,187,186,186,185,183,181,181,181,180,179,178,185,186,186,187,187,180,171,174,179,186,187,186,182,165,112,102,160,187,188,187,187,186,185,184,182,181,180,180,187,189,188,189,186,168,149,154,162,165,162,160,153,136,103,61,79,161,192,190,189,187,187,187,186,185,183,182,189,190,190,189,191,184,178,171,172,164,153,148,131,89,76,53,57,146,195,192,192,191,189,189,189,188,186,185,190,191,192,190,188,191,190,180,157,122,114,119,116,75,71,54,70,173,196,194,194,193,192,192,191,189,188,187,193,194,195,192,180,183,195,178,123,89,62,100,122,76,70,58,99,195,198,197,196,195,195,194,193,192,190,189,195,195,197,195,179,177,198,175,108,61,50,113,125,79,66,49,112,201,199,199,198,197,196,196,195,194,192,190,196,197,199,197,179,175,201,181,123,69,63,99,85,67,55,50,101,199,201,200,199,199,199,198,197,196,195,194,199,199,201,198,178,178,208,185,129,84,47,42,39,44,50,59,98,198,202,201,201,201,200,199,198,198,196,196,200,200,201,196,174,187,211,186,133,96,56,37,46,53,60,67,113,203,204,202,203,202,201,200,199,199,199,198,201,203,203,198,175,189,204,185,138,103,79,62,72,74,73,72,126,207,205,204,203,203,202,201,201,201,200,200,203,206,206,203,178,181,190,172,131,107,92,72,80,81,78,75,147,210,207,206,206,205,204,203,202,201,201,200,205,206,208,206,181,174,176,160,136,125,99,77,81,81,79,84,180,212,208,207,208,207,206,206,204,203,202,201,206,207,209,209,186,178,174,158,139,126,97,80,82,85,79,117,207,212,210,209,209,209,208,207,206,205,203,202,207,208,209,209,191,188,175,156,133,112,91,82,83,85,95,180,215,212,211,211,210,209,208,207,207,206,205,204,208,208,210,208,196,199,180,161,141,111,87,79,80,93,171,215,215,213,213,213,212,211,210,208,208,207,206,205,208,209,211,207,197,197,178,164,144,105,80,76,77,152,216,217,216,214,214,214,213,213,212,210,210,208,207,206,209,211,213,208,195,182,167,153,130,87,72,74,92,197,218,217,216,215,215,215,214,214,213,212,212,209,208,207,210,212,213,205,195,170,157,151,138,85,74,76,118,213,218,219,217,216,217,216,216,215,214,213,212,211,209,208,210,212,212,204,202,172,155,162,158,91,78,77,132,220,219,219,218,217,217,217,216,216,215,214,213,213,210,203
8,162,164,164,166,166,166,170,166,167,166,165,165,164,164,163,161,160,159,159,158,156,154,154,152,149,148,147,145,164,166,167,168,168,162,150,169,169,168,167,166,166,165,164,163,162,160,160,160,159,157,155,153,151,149,147,146,167,167,169,168,173,159,87,150,177,171,171,169,167,167,165,165,164,161,161,160,160,158,156,154,152,150,149,149,168,169,170,169,175,140,78,133,182,171,172,170,169,169,167,166,166,165,163,162,161,160,158,157,154,151,150,150,168,171,172,172,176,139,69,137,184,173,174,170,171,171,169,169,168,167,165,164,163,160,159,159,156,152,152,151,171,171,173,174,176,134,61,150,182,174,174,177,175,172,171,170,169,167,169,171,162,163,161,160,158,155,154,153,172,174,175,175,178,136,61,148,184,176,177,164,174,177,174,177,171,128,101,141,140,131,167,160,161,159,157,155,174,176,177,176,181,153,73,135,189,178,157,114,104,169,141,114,133,130,91,66,120,97,169,161,160,159,158,156,175,176,177,178,181,149,66,120,193,169,151,135,95,110,128,86,78,138,115,62,80,89,151,169,161,161,159,157,176,177,179,180,181,151,92,98,190,164,159,150,111,86,130,101,84,138,105,63,55,82,92,170,163,161,160,159,177,179,181,182,181,173,137,91,175,167,154,161,118,73,120,117,78,119,93,58,41,91,68,115,173,161,161,160,177,180,180,181,182,180,143,96,142,145,128,158,121,75,98,124,68,101,129,78,41,94,72,86,176,162,163,161,178,180,181,182,183,184,150,140,131,132,105,142,122,71,73,122,73,94,150,81,55,110,63,114,178,163,164,162,181,181,183,184,185,186,180,160,126,114,106,125,124,78,61,98,69,30,82,48,75,111,58,146,173,166,165,163,182,182,183,184,185,185,184,143,110,84,81,100,138,120,60,42,42,50,39,84,125,97,66,168,170,168,166,165,183,182,184,186,187,188,181,142,117,88,72,75,145,132,80,42,91,139,131,121,131,75,83,182,168,167,165,164,182,183,186,187,188,187,187,164,132,93,76,75,118,112,73,83,143,140,141,108,95,55,109,184,169,168,166,165,181,184,188,187,188,189,186,168,134,102,81,75,107,127,127,149,160,135,127,97,68,48,157,178,171,169,167,166,182,184,187,188,189,189,186,173,143,114,91,75,111,164,174,170,155,128,116,89,38,102,186,172,173,170,169,167,183,184,187,189,190,191,182,170,149,118,92,87,127,174,165,161,142,117,103,72,49,172,179,174,173,172,170,168,185,186,187,189,190,191,176,165,155,122,98,98,138,165,162,156,129,110,93,44,116,190,176,175,174,173,170,169,186,187,187,190,191,193,179,170,160,127,108,102,144,156,161,146,117,100,70,56,179,182,177,176,175,174,172,169,186,187,189,191,192,194,188,175,166,136,113,99,139,149,145,128,103,87,39,125,194,179,179,177,176,174,172,170,185,187,190,191,191,194,191,182,164,137,115,104,128,138,126,110,88,52,67,188,183,183,179,178,177,175,172,170,187,189,191,191,192,193,193,180,157,134,117,110,117,131,116,98,72,42,165,189,182,182,179,179,176,175,174,172,188,190,191,191,191,194,192,180,158,142,133,126,115,125,109,90,44,124,199,183,183,182,180,179,175,175,174,172,187,189,191,193,193,191,189,185,165,158,140,132,121,119,95,63,69,192,187,187,185,183,181,178,175,175,174,171,187,189,192,192,195,185,180,187,168,162,137,132,121,100,84,47,127,200,187,187,185,182,182,181,178,177,175,173
5,154,155,155,155,156,157,158,158,159,162,161,162,163,162,161,166,163,162,162,161,162,161,161,161,160,159,157,160,157,157,159,160,160,161,161,162,162,162,163,163,164,165,169,146,164,164,163,164,162,161,161,162,162,160,166,130,161,162,163,163,163,164,165,165,165,165,166,169,167,169,186,97,153,170,166,166,164,166,165,163,163,167,143,66,164,165,166,167,167,168,169,169,169,169,169,166,165,192,166,96,165,171,169,168,176,135,157,166,165,159,79,57,169,169,170,171,171,171,172,172,174,170,191,134,144,207,124,130,181,171,169,168,155,100,156,170,174,123,54,67,172,173,174,175,175,176,175,175,176,169,205,139,147,191,104,165,177,176,161,156,109,126,175,171,169,92,65,86,176,177,177,178,179,179,179,178,179,174,205,146,151,162,112,184,179,161,153,117,114,177,176,175,166,83,79,84,179,180,180,180,182,182,182,182,182,180,200,142,142,129,136,190,154,144,130,106,175,180,178,177,179,109,82,84,182,183,183,184,185,184,185,185,185,182,209,156,119,106,171,150,120,121,99,163,188,180,181,180,182,125,79,79,184,186,186,187,187,187,187,187,187,187,213,168,116,117,159,116,109,90,154,192,184,184,182,181,185,146,74,63,187,188,188,189,189,190,189,189,190,190,205,159,117,116,120,116,98,130,201,187,187,187,184,183,187,170,73,57,189,190,191,191,192,191,192,192,193,191,197,172,116,102,101,116,97,170,192,183,195,189,186,188,189,178,136,132,191,192,193,194,194,194,194,193,195,193,198,190,135,97,94,101,112,179,136,134,169,195,193,189,187,191,134,168,192,193,195,196,196,196,195,196,197,196,197,198,152,105,98,96,109,119,122,149,150,161,182,193,194,193,132,199,195,196,197,197,198,197,198,199,199,199,200,210,179,128,99,101,97,109,114,132,167,165,162,172,175,169,178,156,198,198,198,199,200,200,201,200,200,200,203,217,196,147,104,97,106,100,91,120,141,142,159,164,144,137,160,130,199,199,200,201,201,201,202,202,203,203,202,221,206,154,110,91,103,91,130,197,187,173,153,150,179,170,122,136,200,201,202,203,203,202,203,204,205,205,204,225,210,160,116,90,88,116,216,202,206,199,168,183,172,128,164,192,201,202,203,204,205,204,205,205,206,204,204,228,209,163,122,91,71,123,190,212,198,158,169,163,113,156,209,197,203,204,205,206,206,206,206,206,207,206,205,230,207,161,123,87,80,100,104,177,152,157,166,117,122,205,201,200,204,205,206,207,207,208,207,207,208,205,212,230,201,160,123,86,85,107,109,111,131,157,128,130,201,204,203,203,205,206,206,207,207,208,209,208,210,201,213,228,198,160,124,91,89,109,115,127,132,127,125,204,207,204,204,202,206,207,208,209,209,210,210,210,211,202,215,224,194,158,122,93,94,117,122,127,116,112,196,212,205,207,205,204,207,208,210,210,211,211,211,212,210,202,221,217,190,155,120,93,93,117,125,122,103,179,217,205,208,208,207,206,207,209,210,211,211,211,212,216,203,207,230,213,185,148,117,96,92,119,128,107,133,221,210,210,211,210,208,207,209,211,211,212,212,212,213,215,198,227,228,206,180,148,115,98,100,124,121,96,185,218,212,213,212,212,210,208,211,212,212,212,214,213,216,204,208,233,218,203,184,146,112,100,105,122,101,141,221,212,214,213,211,212,210,209,211,212,212,213,214,215,213,198,220,218,213,199,168,127,106,97,107,110,125,212,217,216,215,213,213,211,211,210
0,179,181,182,184,186,188,188,189,190,191,192,192,193,193,193,193,193,193,194,193,192,190,190,189,189,189,189,188,180,182,183,186,187,188,190,191,192,193,193,194,194,194,194,194,193,194,194,194,193,191,191,191,190,189,190,188,181,183,185,187,188,189,191,192,193,195,195,195,195,196,196,196,194,194,194,195,194,193,192,192,191,190,191,190,182,183,185,187,187,188,191,193,194,196,195,196,195,196,196,196,195,195,195,196,195,194,193,192,191,190,192,191,182,185,186,187,188,190,193,193,195,197,196,196,188,180,191,193,180,178,192,195,195,193,193,193,193,192,193,192,182,185,187,188,190,192,193,194,192,175,182,205,180,144,144,191,164,126,158,200,194,181,163,195,195,194,194,194,184,186,188,189,190,193,193,199,197,167,139,189,192,152,117,191,167,125,110,157,171,183,137,176,197,195,195,195,185,187,189,189,192,193,193,211,211,189,140,137,193,149,119,194,167,125,86,125,145,187,163,142,178,195,195,195,187,187,189,191,194,194,201,204,202,195,143,105,179,152,128,197,167,113,109,149,126,181,185,160,140,166,197,196,187,189,191,192,194,194,211,191,184,183,124,104,174,143,131,188,152,96,123,153,105,171,205,179,136,111,193,197,188,190,192,193,193,195,216,194,180,166,107,115,166,126,121,167,137,86,123,151,115,195,212,175,122,105,192,197,189,190,192,194,194,208,211,185,172,159,114,117,150,113,106,149,124,79,127,145,145,198,188,152,96,142,201,198,190,192,194,195,195,220,213,176,143,141,108,108,150,112,97,151,115,101,158,157,167,173,151,119,94,183,201,200,190,193,194,196,197,221,212,187,156,114,77,110,166,117,103,172,164,172,168,156,137,145,124,89,127,201,201,201,191,193,194,196,200,222,206,188,172,144,103,99,126,104,114,195,197,180,161,147,116,113,107,79,164,204,201,200,191,193,194,196,206,226,207,189,175,161,126,97,111,139,189,208,196,172,152,135,105,94,88,87,190,204,201,201,192,193,195,196,210,227,212,192,178,170,142,114,121,175,212,207,188,162,140,120,94,84,73,137,204,203,201,202,193,194,195,196,210,227,215,195,180,172,150,121,131,190,215,201,181,154,129,104,84,72,100,194,204,203,202,201,193,194,196,198,205,226,217,200,184,169,150,124,155,196,205,192,176,145,116,91,75,77,170,207,205,205,203,202,192,194,197,198,205,226,216,203,188,167,149,141,178,192,184,180,165,132,100,80,68,144,206,207,205,205,205,205,194,195,198,197,208,227,219,212,189,167,157,164,188,172,168,166,148,117,87,67,116,201,208,208,207,207,207,207,194,196,197,195,218,226,221,217,193,173,164,172,180,156,160,150,128,99,74,90,191,210,209,208,208,207,207,207,195,196,195,200,223,216,216,211,182,170,169,168,157,152,151,137,112,83,83,171,210,209,208,208,208,207,206,206,194,195,192,207,207,193,200,194,170,166,166,156,147,144,130,117,90,78,157,207,208,209,208,208,207,206,206,206,194,192,192,211,193,173,172,168,159,159,158,144,135,131,113,94,82,143,201,209,209,209,208,207,206,206,206,206,194,184,202,208,177,163,155,147,147,164,154,123,126,122,95,77,142,200,208,211,210,210,209,208,208,207,207,207,188,186,217,202,163,147,148,132,140,162,137,110,123,108,77,122,197,210,210,210,210,210,209,209,209,208,208,207,179,203,217,199,158,135,137,124,140,150,125,109,113,86,87,181,208,211,211,210,210,210,209,209,209,209,209,207
0,171,173,176,178,180,182,183,185,185,186,186,186,186,186,186,186,187,185,185,185,185,184,184,184,184,184,181,180,172,174,177,179,181,183,185,186,187,188,188,188,189,188,187,188,188,187,187,187,186,185,185,185,185,185,183,182,173,175,178,180,182,185,186,187,187,188,189,190,191,189,190,191,190,189,189,188,187,186,186,186,184,184,184,183,176,177,180,182,184,186,187,188,188,190,192,192,192,195,191,191,192,194,190,188,187,189,188,187,187,186,185,185,177,179,181,182,186,188,190,189,192,195,194,189,187,174,190,193,164,163,193,193,190,188,190,189,188,187,186,186,178,181,182,184,188,188,190,191,194,182,183,216,185,132,130,199,161,99,159,187,182,173,154,194,189,188,187,187,180,182,183,186,188,190,191,192,203,170,131,199,204,160,114,198,172,126,83,105,149,189,116,184,194,189,190,188,179,182,185,187,189,190,189,198,218,201,151,136,211,163,115,196,175,129,77,130,147,192,140,130,197,190,192,190,180,183,186,187,190,192,191,212,210,209,180,106,178,171,107,192,183,119,100,158,117,184,172,119,145,196,191,191,181,184,186,188,190,191,196,212,167,202,170,88,141,176,109,189,174,100,100,154,86,154,187,157,105,148,202,190,184,186,188,189,191,188,208,215,160,192,142,81,140,154,99,162,147,90,94,143,93,183,210,169,101,121,203,190,185,187,188,190,193,191,216,209,174,185,127,80,136,129,88,128,127,87,91,129,111,207,202,161,87,161,200,192,186,187,189,192,192,197,225,195,151,155,144,86,117,121,82,119,119,66,136,148,163,201,181,126,94,197,195,194,187,188,191,195,194,198,231,210,173,126,109,68,128,145,83,137,130,115,177,168,169,183,146,90,137,208,194,195,187,189,192,195,193,203,230,207,186,155,108,85,116,124,79,117,181,200,181,169,142,141,120,76,178,204,198,196,188,190,193,196,193,211,231,205,189,172,142,104,105,130,143,189,212,199,173,159,131,105,98,83,198,201,200,199,189,191,194,197,194,214,232,207,189,174,157,111,107,146,194,221,213,192,162,148,117,94,70,127,211,198,200,200,190,192,194,197,194,210,231,212,191,179,170,129,117,142,205,218,211,182,153,133,104,78,79,197,204,200,202,201,191,193,195,198,195,205,229,215,195,180,173,145,119,151,215,219,198,168,138,115,92,64,156,211,200,202,202,201,191,194,195,199,197,202,227,217,201,180,168,147,119,162,212,208,179,157,128,102,68,115,213,203,204,202,202,203,191,194,196,199,199,202,228,213,199,182,162,141,125,178,195,179,168,148,117,83,72,192,208,205,206,204,203,203,192,194,196,200,197,202,229,212,202,183,156,138,145,180,162,158,152,128,103,62,154,215,205,206,207,206,204,203,192,194,195,200,192,215,233,216,213,185,159,146,159,173,145,149,131,112,70,116,214,208,209,207,207,206,205,203,192,195,198,196,197,234,226,217,211,180,157,153,162,152,140,137,121,86,94,205,212,209,208,208,207,207,206,204,191,194,199,192,215,227,206,208,204,167,150,157,150,138,132,120,93,84,188,213,211,209,208,208,208,207,205,205,191,193,195,186,224,214,186,177,179,156,145,153,139,128,120,101,79,165,212,208,209,208,209,208,207,207,206,205,190,196,189,192,229,203,176,155,151,134,148,153,118,116,114,73,131,213,210,209,210,210,209,208,207,207,206,205,192,196,182,215,227,192,158,151,139,118,152,141,102,116,90,84,192,211,209,210,210,211,209,208,207,207,207,207
19,157,161,165,168,171,174,176,178,178,180,180,180,180,180,180,180,181,179,179,178,178,177,176,174,180,182,160,198,160,164,169,172,174,177,180,181,183,183,184,184,184,184,184,183,183,182,182,182,181,181,179,178,184,158,156,200,164,168,172,176,178,181,183,186,187,188,188,189,189,181,186,188,187,186,186,186,185,184,184,182,183,185,194,200,168,172,175,179,183,185,188,189,190,192,192,201,194,150,148,189,191,190,189,189,188,187,186,185,183,188,184,165,171,176,179,183,187,189,192,193,194,196,195,213,193,140,112,177,196,194,193,192,192,191,190,188,187,186,176,165,177,180,184,187,191,195,196,197,199,201,200,216,195,148,106,156,200,197,196,195,195,195,193,192,190,189,185,185,179,183,188,191,195,198,199,201,202,204,203,219,200,157,107,133,203,201,200,199,198,198,196,195,193,192,189,192,183,186,190,195,198,201,203,205,206,208,207,220,198,151,102,116,203,205,204,202,202,201,200,198,197,195,193,195,186,190,194,198,201,204,207,208,210,212,211,220,195,156,131,146,181,180,189,193,194,194,198,201,201,199,197,198,188,192,197,200,203,207,210,211,211,210,208,213,203,195,194,193,172,149,164,176,166,158,162,164,181,190,196,202,190,194,199,202,207,210,204,189,190,202,204,210,207,208,204,188,169,152,162,177,168,163,161,151,174,175,165,198,193,196,201,205,208,221,205,185,189,193,194,195,193,188,183,171,155,129,132,149,156,158,157,147,156,162,139,183,194,198,203,207,212,226,203,189,184,176,178,183,180,177,177,172,159,119,149,165,166,160,154,150,155,160,94,158,197,200,205,209,215,205,167,155,162,171,184,186,181,180,178,176,165,134,183,223,220,216,212,210,213,171,77,109,198,202,206,210,222,190,164,158,160,168,171,170,174,175,172,170,152,120,181,224,222,222,220,219,214,122,76,73,199,202,207,212,217,181,174,172,168,159,140,145,159,151,140,142,127,112,205,224,225,225,221,210,172,89,75,75,200,204,209,213,220,209,190,167,157,162,165,163,161,155,147,142,131,125,216,225,206,176,139,103,81,74,75,76,201,205,210,214,225,231,206,166,144,157,163,163,162,160,152,144,138,122,163,142,88,70,71,64,63,70,71,73,201,206,210,216,226,233,209,169,151,145,138,140,146,145,137,130,122,105,72,56,58,51,55,53,65,66,65,69,203,208,211,217,225,226,217,178,156,137,123,126,137,138,129,122,107,84,62,58,61,55,50,48,58,61,59,64,203,209,212,221,229,231,228,191,154,131,142,150,149,143,133,124,103,59,52,62,57,54,53,52,49,52,53,59,203,208,211,221,231,232,230,197,153,129,138,145,142,132,120,113,99,55,43,55,58,55,47,47,52,52,53,54,203,208,209,217,230,227,214,178,149,138,138,144,140,125,115,114,90,56,45,47,54,56,48,38,45,48,57,58,203,208,210,216,227,221,204,172,150,145,138,137,122,107,111,109,57,48,50,44,45,56,54,41,38,42,51,53,203,208,209,215,222,217,194,166,148,148,140,121,95,84,87,77,38,36,45,43,44,48,56,48,36,39,39,37,204,208,208,214,217,208,176,151,153,169,140,96,80,53,25,43,48,35,38,43,43,44,48,53,40,36,37,34,190,194,200,216,212,199,173,155,166,166,130,91,76,44,13,26,48,45,37,42,39,39,42,47,46,32,34,33,130,132,182,218,210,198,179,172,176,159,125,94,68,53,17,17,39,50,43,40,37,33,38,40,45,35,29,33
21,107,114,122,137,152,160,167,171,175,178,179,183,186,189,193,194,196,198,200,201,201,202,202,203,204,203,203,203,108,115,124,139,153,162,167,171,176,179,181,185,188,190,188,197,198,200,201,202,204,205,205,205,205,205,205,205,111,118,125,143,155,164,170,174,178,181,183,185,198,202,131,188,204,202,203,204,206,207,206,206,207,207,207,206,112,120,128,145,157,164,171,176,179,182,186,185,208,203,125,182,208,203,204,207,208,208,207,207,209,209,209,209,112,120,130,147,158,166,172,176,182,185,189,186,209,202,132,178,209,205,207,207,211,211,211,214,213,211,210,210,113,122,131,148,158,168,173,177,182,186,189,187,212,210,138,176,212,206,209,208,212,214,208,198,213,212,213,213,115,124,134,151,160,169,175,180,184,186,190,189,213,210,143,169,215,208,212,211,212,213,183,133,197,219,214,215,116,125,136,154,161,170,176,181,185,186,190,190,213,208,145,156,217,208,213,212,216,203,157,138,215,217,216,216,118,124,137,154,162,170,177,183,186,187,192,191,220,211,145,154,218,208,213,217,216,182,133,192,225,217,217,217,119,126,140,157,164,172,178,184,187,187,192,193,229,215,153,160,218,210,215,213,195,153,159,226,218,219,218,218,119,127,143,157,165,174,179,184,186,189,203,179,211,198,149,155,219,211,218,209,173,133,209,223,219,221,221,220,121,128,144,158,167,174,180,185,187,197,201,154,155,155,133,157,219,213,217,202,140,171,229,219,222,222,221,221,123,130,145,158,166,175,181,184,198,216,165,151,123,119,122,159,200,201,202,161,136,220,222,223,223,223,221,222,123,130,147,159,167,175,182,185,223,230,202,177,128,103,120,148,179,179,164,121,189,229,220,223,223,223,223,222,123,131,149,160,168,176,180,195,228,238,242,175,131,105,114,136,154,160,126,147,228,222,224,224,224,224,225,224,124,132,149,160,169,177,180,202,210,200,209,160,126,113,112,127,139,140,120,209,227,224,224,224,224,225,225,225,125,133,151,161,168,178,180,222,209,148,170,177,137,118,113,117,127,111,153,232,222,225,226,226,226,225,226,225,126,134,153,161,170,176,187,223,174,142,153,191,150,123,115,111,119,107,181,232,223,226,226,226,226,227,228,226,125,136,155,161,171,173,201,221,182,178,171,210,167,146,124,111,114,108,189,232,226,227,227,226,226,227,228,226,126,137,153,161,173,173,212,225,204,170,212,240,172,162,130,109,112,111,204,230,226,228,229,229,229,229,228,227,126,139,156,162,174,174,221,238,197,179,248,215,168,158,130,110,110,117,219,229,227,228,228,229,229,229,228,228,127,140,155,163,173,174,229,227,185,196,235,196,163,147,137,115,104,138,232,226,227,228,229,229,229,230,229,229,127,139,155,162,174,175,221,207,197,196,232,192,182,145,125,117,102,174,234,226,228,228,229,230,231,230,229,229,126,141,156,166,176,178,205,214,217,195,235,183,176,148,117,114,104,199,232,226,229,228,229,230,231,231,230,230,126,143,157,165,174,179,197,236,206,190,222,169,153,129,114,109,114,215,229,227,229,230,231,231,232,231,231,231,125,143,156,164,173,180,193,226,201,181,197,161,138,125,115,101,130,226,226,229,230,231,232,232,232,232,231,231,123,141,153,163,172,181,187,206,189,184,187,169,153,134,117,95,143,230,222,226,229,229,230,230,231,231,231,230,124,141,152,163,172,182,186,198,195,190,187,182,167,135,115,90,151,230,221,225,228,229,229,230,230,231,231,230
8,188,190,189,190,191,191,191,191,191,192,192,191,191,192,192,192,193,192,191,190,189,189,188,188,187,186,186,186,190,190,190,192,193,192,192,193,193,192,193,192,179,182,194,194,194,194,193,193,192,191,190,189,188,187,187,186,192,192,192,194,194,194,194,194,194,194,193,199,164,152,195,195,195,195,195,194,194,193,193,191,191,189,189,188,193,193,194,195,195,196,195,195,195,195,196,200,147,148,198,197,196,197,196,196,195,195,194,193,192,191,191,190,195,195,196,196,197,197,196,196,197,196,203,196,127,159,199,198,198,199,198,196,196,196,195,194,194,193,191,191,195,196,196,197,198,199,198,198,199,198,209,192,120,170,201,200,199,200,199,198,199,197,196,196,195,194,193,193,196,197,198,199,199,199,199,200,200,198,213,181,122,184,202,201,201,200,200,200,200,199,198,198,196,195,195,195,198,198,199,200,200,199,200,200,201,201,213,163,125,194,200,199,202,201,202,202,199,200,200,200,199,196,196,196,199,199,200,201,201,201,201,200,200,205,210,159,128,204,196,167,181,199,178,186,200,199,201,193,190,197,198,198,200,200,201,201,201,201,202,202,200,210,209,166,139,221,205,164,145,191,154,138,156,164,180,171,137,190,199,198,200,201,201,201,201,201,202,203,201,215,206,168,169,233,216,182,133,174,163,128,121,144,166,162,104,182,201,198,200,201,202,202,202,202,203,203,203,216,202,171,192,234,227,193,128,152,164,132,162,153,175,172,108,180,201,199,200,200,202,202,202,202,203,203,207,206,194,187,193,216,229,193,132,134,155,144,178,154,180,185,135,169,204,200,199,200,201,202,202,202,203,204,210,186,188,194,188,186,226,197,136,112,141,160,171,143,173,189,161,138,200,203,199,200,201,201,202,202,203,205,212,175,168,184,172,175,215,202,138,95,125,166,161,123,159,190,155,114,189,203,200,201,201,201,202,203,202,207,218,172,142,159,153,151,196,200,134,86,116,166,152,112,167,175,129,128,199,202,200,201,202,202,202,203,202,213,226,182,131,136,130,130,165,194,153,85,109,170,146,123,170,144,108,169,204,202,201,202,202,202,202,203,204,220,229,196,130,127,126,127,151,186,163,90,109,159,133,154,149,110,123,198,203,202,201,201,202,202,203,204,206,223,228,207,140,115,125,124,144,176,141,116,162,175,162,175,135,94,164,205,203,204,201,201,202,203,203,204,206,225,228,214,145,119,133,129,164,198,187,191,190,178,158,156,127,97,188,206,204,205,194,196,199,201,203,203,204,225,228,211,146,129,136,144,194,215,214,208,191,176,145,124,107,124,202,206,205,205,130,134,138,139,141,142,165,225,225,207,153,149,138,168,216,223,219,211,192,167,133,104,92,160,199,198,197,196,98,98,99,99,98,97,124,224,226,208,170,158,146,172,223,228,221,202,183,152,120,94,91,116,124,132,154,182,102,103,103,103,102,103,115,214,226,212,180,162,157,167,224,229,210,186,167,133,105,91,97,114,144,178,200,205,104,104,103,103,103,104,107,203,222,206,178,162,160,169,225,219,196,169,145,114,93,115,161,190,206,208,212,209,104,103,102,103,104,105,111,203,212,193,174,162,158,181,217,200,179,146,123,100,91,184,220,199,191,191,195,203,102,102,102,102,103,103,122,209,204,186,172,165,163,186,195,185,161,129,116,93,120,193,213,212,195,179,180,182,102,102,102,102,103,101,134,214,198,183,174,169,169,183,184,175,149,120,111,101,170,186,182,198,203,179,153,147
4,154,155,157,158,159,160,159,159,159,159,161,160,160,163,164,161,160,163,163,161,160,161,160,160,159,159,159,158,156,158,159,159,161,162,161,161,162,162,163,163,162,155,149,159,166,149,144,165,165,160,163,163,161,159,160,160,159,160,160,161,163,164,163,162,165,164,159,162,171,159,129,117,137,143,118,114,156,168,164,165,164,162,162,162,161,161,161,163,164,164,165,166,164,160,148,132,128,168,173,128,74,94,141,94,63,161,168,164,166,165,166,164,163,162,163,165,165,166,167,167,172,179,176,140,88,84,172,128,83,28,87,105,36,130,177,166,166,167,167,167,165,166,167,167,166,163,164,134,117,154,155,162,104,41,127,140,79,31,46,99,45,116,181,168,168,168,168,166,168,168,168,168,167,172,174,130,63,59,103,169,135,50,60,151,122,50,25,125,66,110,183,170,171,170,170,168,169,168,168,168,172,153,144,143,85,34,36,156,171,81,31,154,152,76,25,118,93,122,182,171,172,171,171,171,168,169,170,169,169,160,101,126,131,75,7,114,173,88,35,117,152,88,27,70,76,133,183,172,174,173,174,173,169,171,172,172,172,164,94,85,136,92,39,65,90,71,50,59,96,68,33,51,46,64,181,174,176,175,173,173,172,172,172,172,175,170,150,125,103,71,43,59,60,65,74,75,67,54,47,84,88,54,128,187,173,175,175,174,172,173,174,174,177,179,156,129,98,72,59,69,69,70,91,84,86,54,86,132,123,104,76,173,180,177,177,176,173,174,175,175,178,180,148,119,98,78,80,80,85,104,105,122,138,144,103,130,137,116,56,112,192,176,178,176,174,175,176,176,179,176,141,104,90,72,81,97,108,132,148,157,174,174,161,141,120,84,51,55,178,180,178,179,175,177,178,177,178,182,156,123,97,84,95,104,111,169,160,161,171,165,156,138,110,74,50,43,163,185,178,179,176,179,179,179,177,185,171,135,104,88,92,103,130,175,159,166,166,165,151,132,111,75,46,62,183,181,180,180,177,179,180,181,179,180,178,148,120,93,92,112,132,176,167,176,178,166,150,133,105,73,36,115,194,180,183,182,178,179,180,180,180,179,183,164,131,100,103,125,124,172,177,184,184,174,158,127,91,67,40,166,191,185,184,182,178,180,180,181,181,179,182,176,140,110,114,137,128,167,180,188,189,190,159,116,84,50,74,194,185,186,184,183,179,180,181,182,183,179,175,182,154,114,121,136,139,169,180,193,195,185,145,107,84,35,127,198,185,186,185,186,180,182,183,183,184,177,166,173,162,123,123,133,139,175,179,190,188,159,122,97,73,43,174,191,187,187,186,185,180,182,184,183,186,178,160,173,169,142,124,128,139,168,179,174,165,136,109,88,48,82,199,186,187,187,186,186,180,182,184,185,186,187,162,166,170,155,137,133,141,157,172,162,140,120,93,69,44,160,197,188,189,189,188,188,179,180,181,181,183,188,175,153,161,157,145,139,137,137,144,138,117,94,69,38,109,200,186,188,190,189,188,187,180,181,181,182,182,186,182,154,159,154,144,140,129,121,128,127,105,74,47,48,183,189,188,188,189,188,186,186,181,182,183,183,183,186,183,157,158,145,137,134,122,108,113,115,86,58,35,91,200,186,189,189,189,188,188,187,181,183,185,184,185,185,184,161,154,124,116,126,116,112,111,99,71,56,30,130,198,187,191,189,188,189,188,187,182,183,185,186,185,186,186,162,162,134,131,142,133,124,111,95,75,60,33,155,194,189,190,190,189,190,189,187
2,179,178,179,180,181,181,180,180,180,180,180,180,180,180,179,179,179,178,178,177,177,174,174,176,171,88,55,75,182,183,183,182,182,182,182,183,182,183,183,184,182,182,182,182,178,184,181,182,176,178,178,182,161,71,69,80,186,187,188,186,186,187,187,187,187,189,188,187,183,189,196,163,112,151,167,152,188,183,181,182,175,93,79,75,189,190,190,189,188,190,189,190,191,189,187,191,199,195,156,116,86,93,118,91,137,178,184,182,187,121,78,82,192,192,193,192,192,192,192,194,192,193,205,214,177,123,97,85,80,80,89,80,72,147,193,182,192,139,74,71,195,195,195,195,195,196,196,197,192,204,218,195,118,76,80,77,71,66,76,79,68,145,196,185,192,162,80,55,197,198,199,197,198,198,199,199,195,222,197,124,86,67,70,75,68,64,67,74,111,186,191,188,188,189,86,39,201,200,201,201,201,200,201,199,206,232,155,87,78,70,64,70,74,87,131,165,195,195,193,191,191,191,126,109,202,203,203,204,204,203,204,197,222,216,138,94,79,87,75,76,88,163,207,200,197,197,195,193,193,196,161,145,202,205,207,207,206,206,205,208,229,188,119,79,76,82,75,99,180,205,198,199,200,200,197,196,195,206,124,156,206,207,207,207,208,208,202,221,224,172,117,83,78,74,80,139,220,202,204,202,201,201,201,200,197,203,139,188,208,210,211,210,209,209,208,235,215,163,119,101,90,79,77,161,215,207,207,204,204,203,202,201,200,199,184,168,209,210,212,213,212,208,220,246,201,149,110,98,95,92,85,198,214,208,208,208,208,206,206,204,201,201,205,176,211,211,213,214,214,207,232,239,190,138,100,93,88,92,108,214,212,211,209,209,209,209,208,206,204,205,202,197,213,214,214,213,211,208,245,226,182,136,102,89,87,89,117,218,211,211,209,209,209,208,207,208,207,207,204,197,213,214,214,216,208,225,244,212,171,127,102,92,95,83,136,226,212,212,212,211,211,210,211,211,210,212,211,205,215,216,216,217,211,242,235,199,159,120,100,90,88,77,123,226,213,215,214,215,216,216,209,199,191,184,193,212,217,217,220,211,214,247,227,191,151,113,96,85,81,93,84,157,229,215,220,218,201,187,178,174,169,158,129,161,218,218,222,207,229,242,219,180,140,112,93,73,84,96,98,92,189,217,201,179,172,173,184,178,155,137,123,145,220,222,217,213,243,237,209,165,130,111,86,69,93,97,104,112,112,137,152,171,187,179,157,123,132,181,206,212,222,224,210,229,243,229,199,158,126,107,77,80,108,112,124,126,125,132,157,178,165,133,104,138,213,219,216,215,225,219,215,244,239,222,186,151,123,106,79,92,119,127,132,129,130,135,147,130,121,144,180,218,218,215,214,213,221,214,239,241,231,212,179,144,112,103,86,105,124,133,135,129,121,112,106,138,196,224,225,220,219,217,216,215,209,227,243,235,226,209,172,134,107,102,94,119,130,133,127,116,100,107,170,226,226,221,221,221,221,219,219,219,220,232,233,226,212,184,148,119,107,99,101,122,126,128,112,98,151,208,230,223,223,225,224,222,222,220,221,221,228,230,225,206,184,157,130,111,106,99,108,115,120,112,95,168,235,230,224,224,225,226,226,226,224,223,222,221,225,224,208,183,164,147,123,108,104,106,107,106,104,114,185,235,226,227,228,227,227,227,227,227,225,224,221,221,223,214,194,160,149,127,105,108,109,108,106,100,151,220,236,228,230,230,230,230,229,228,228,227,226,225,224,223
20,178,179,180,179,180,182,182,183,183,183,183,183,182,183,182,181,179,181,178,177,177,176,174,173,171,170,168,166,181,183,184,183,184,185,185,186,186,185,186,185,185,186,184,191,181,148,186,183,179,179,177,175,174,173,171,169,186,186,186,187,188,188,188,188,189,189,189,189,189,189,187,195,190,128,158,177,185,181,180,179,178,176,174,173,188,189,191,191,191,191,192,192,192,193,193,192,192,192,190,195,192,123,110,132,179,186,184,182,180,179,177,175,191,192,193,193,193,195,195,196,196,197,195,195,196,196,193,202,189,111,139,139,153,194,186,185,184,183,180,179,195,196,197,197,197,198,198,198,199,198,198,198,199,199,196,205,185,109,161,157,131,197,188,188,186,185,183,181,198,199,199,200,200,200,202,201,201,201,202,201,202,202,198,212,191,117,165,164,125,196,192,191,189,189,186,184,201,202,202,203,203,203,203,203,204,203,204,204,204,203,200,218,179,112,171,185,128,191,197,193,192,192,190,186,203,204,204,204,205,205,206,206,205,206,206,206,206,207,208,224,163,113,187,184,123,187,202,196,195,193,192,191,206,206,207,207,207,208,209,209,209,208,208,210,209,196,193,223,171,130,201,182,116,183,203,198,198,196,194,192,209,210,210,211,211,210,211,212,211,210,210,211,212,205,184,181,173,124,182,187,126,182,205,200,200,199,197,194,211,211,211,212,212,212,213,213,213,213,213,213,211,218,222,190,155,132,169,192,137,176,209,202,202,200,199,196,212,213,213,214,215,215,216,215,216,216,215,216,214,181,192,191,187,155,136,168,130,170,213,203,203,201,199,197,214,215,216,215,216,216,217,216,217,217,217,216,220,191,121,176,202,148,104,124,116,160,217,205,205,203,201,199,216,216,216,217,217,218,217,217,218,218,218,218,222,195,97,153,201,165,122,107,98,148,219,208,206,204,203,202,216,217,217,218,219,219,218,219,220,219,219,219,215,192,140,129,164,183,147,137,102,131,220,209,209,207,205,204,218,218,219,220,221,221,221,221,221,221,221,214,214,194,167,126,106,160,166,146,107,111,218,212,211,209,207,206,220,221,222,222,222,222,221,222,222,223,217,214,196,195,190,159,122,131,158,157,121,101,208,216,211,210,209,207,222,222,223,223,223,223,223,223,224,223,214,204,163,147,181,174,129,116,142,181,152,99,174,224,212,211,210,208,223,223,223,224,225,224,225,225,226,225,214,208,177,114,122,168,116,100,128,182,179,121,118,220,215,213,212,210,224,225,225,226,226,226,226,226,226,226,215,201,178,148,105,133,121,102,162,205,191,141,99,207,219,215,214,211,226,226,227,227,227,228,228,228,227,229,213,208,205,153,116,134,146,142,211,207,181,124,109,217,218,215,214,211,227,228,228,228,228,228,228,229,229,231,212,208,207,162,135,135,197,221,220,186,167,103,136,229,215,216,215,213,226,227,228,228,229,229,229,229,230,232,213,202,198,173,139,133,208,221,202,169,150,99,170,230,216,217,216,215,226,227,227,228,228,228,228,229,229,233,215,193,190,173,143,134,198,206,186,157,130,98,199,225,216,217,215,213,227,227,228,229,229,229,229,230,230,232,224,195,190,173,155,142,195,206,177,143,107,115,225,218,215,216,221,217,228,228,229,229,230,230,230,231,232,232,233,203,188,177,162,136,180,193,158,125,87,173,231,222,224,214,183,139,228,228,230,230,231,232,231,231,233,233,231,210,194,177,160,137,153,161,126,97,106,223,221,189,163,126,89,81
16,193,193,193,193,194,194,195,195,195,196,195,195,195,196,196,196,196,196,196,197,197,195,196,197,197,196,196,196,193,194,195,195,195,195,195,196,197,197,196,196,196,196,196,197,197,197,198,199,199,198,198,199,198,198,198,197,194,195,195,196,197,196,196,197,198,199,198,198,198,198,198,198,199,199,200,200,200,199,199,200,200,200,200,198,195,195,196,196,197,197,197,198,199,199,199,200,200,199,199,199,201,201,201,201,200,199,200,200,200,201,200,199,195,196,197,197,199,198,198,199,199,199,201,200,200,200,198,183,180,180,193,202,201,202,201,201,201,201,200,199,195,196,196,198,199,199,199,199,200,200,197,190,189,203,209,171,151,140,131,165,198,204,202,202,201,202,201,200,195,196,197,198,200,201,201,200,199,202,194,174,185,215,211,185,165,147,116,94,125,179,203,203,202,202,202,201,196,196,198,199,200,201,200,193,188,217,206,183,198,217,203,191,176,149,109,99,84,98,153,200,202,202,202,201,197,197,198,200,201,200,208,191,192,211,205,190,202,216,190,181,169,142,98,103,89,85,87,143,200,204,203,203,198,198,199,201,201,201,220,201,195,205,205,200,196,206,178,174,158,129,92,94,86,87,85,83,144,205,204,204,200,199,200,201,200,202,208,202,191,204,210,205,199,202,180,170,148,115,88,84,80,86,86,82,81,169,208,206,198,199,199,200,203,205,200,206,201,198,211,206,203,211,193,171,140,104,83,73,76,85,85,82,76,119,205,206,198,197,198,198,209,203,200,208,212,200,206,206,205,210,196,167,128,96,71,61,76,88,88,83,77,96,198,205,197,198,199,199,205,206,204,203,212,202,204,212,211,209,195,156,114,84,52,57,76,90,95,93,80,105,202,205,199,199,200,200,201,208,212,207,210,205,182,216,217,208,194,149,100,59,30,54,72,85,101,94,83,114,205,205,199,199,200,201,201,208,214,215,192,199,184,209,216,209,195,141,87,32,21,44,63,83,106,88,83,123,205,205,199,200,200,201,202,202,205,217,168,175,198,201,212,213,191,134,79,31,17,31,56,91,112,85,80,147,208,206,200,200,201,201,202,200,192,202,213,194,190,199,214,216,185,130,76,46,32,27,63,112,115,86,82,164,210,208,200,200,201,202,202,201,194,184,204,200,192,197,216,216,179,123,74,63,61,48,87,138,129,93,79,164,210,208,185,187,189,191,193,196,198,187,188,189,178,174,208,213,175,114,76,73,73,62,110,162,157,114,80,169,210,207,116,120,123,125,128,133,135,137,138,138,116,122,195,213,173,106,81,81,81,77,122,167,173,141,90,161,208,221,99,99,100,98,97,99,99,98,98,98,97,98,189,217,174,105,103,93,87,88,128,166,181,169,116,156,222,241,102,103,103,102,100,102,102,102,102,102,105,97,178,219,172,113,147,114,100,90,114,155,177,180,139,162,224,238,101,101,102,102,102,102,103,103,103,104,104,99,156,215,169,125,177,135,116,103,93,131,165,162,131,127,219,223,100,101,100,102,103,103,103,103,104,105,106,99,146,224,161,143,198,159,135,120,100,92,130,136,111,143,192,201,100,101,100,100,101,103,103,102,104,105,105,100,140,212,137,180,209,176,151,137,112,87,87,96,103,193,166,176,100,100,100,100,101,101,102,102,104,104,104,103,115,143,167,215,212,187,164,148,122,92,81,79,98,216,195,163,99,100,99,101,101,100,101,103,104,104,104,104,102,114,203,223,216,193,171,155,131,98,82,80,100,223,222,197
1,213,214,214,215,216,214,215,216,215,212,212,213,211,209,207,203,203,206,202,201,201,199,196,193,201,125,42,34,214,215,217,216,218,218,216,216,215,214,214,213,212,209,209,214,202,175,202,204,202,201,199,194,203,92,36,38,216,217,219,219,220,220,219,218,218,219,215,214,213,214,195,183,211,126,168,214,205,201,201,197,204,73,43,41,219,220,220,221,223,222,221,220,220,220,217,216,215,219,192,103,163,134,122,171,175,208,201,198,203,104,42,27,221,221,223,223,223,224,221,222,223,221,218,213,208,230,188,97,125,128,119,168,110,202,204,199,210,104,35,31,222,223,224,225,226,226,223,222,222,221,222,210,145,165,177,87,148,147,119,177,94,183,210,199,211,115,26,34,223,224,227,228,228,228,227,225,224,221,229,199,115,112,183,89,149,164,96,158,90,173,213,201,210,162,93,109,224,227,228,229,228,228,229,228,227,224,231,191,106,119,173,90,117,140,98,182,101,161,217,204,208,174,181,187,226,228,230,230,230,230,231,229,228,226,239,197,118,107,144,82,116,117,102,189,110,140,220,206,209,175,169,135,228,230,231,232,231,232,232,231,230,228,245,180,114,114,145,86,144,132,97,169,103,137,223,207,209,190,169,112,230,231,233,234,233,234,233,233,232,230,241,179,110,132,166,93,128,133,93,163,102,143,224,209,210,202,181,162,231,232,236,236,236,235,236,235,232,236,247,186,141,104,134,73,100,98,117,180,115,144,225,210,210,209,187,177,232,235,235,235,236,236,236,236,233,240,234,177,120,79,80,64,94,61,116,170,112,134,227,210,212,210,204,173,233,236,238,238,238,238,237,237,235,242,225,177,151,144,123,117,93,96,128,139,86,150,230,212,213,211,211,196,236,237,237,239,239,239,238,239,234,253,239,196,187,154,211,151,149,142,170,134,68,193,225,217,214,212,211,211,237,238,239,240,242,241,241,241,237,255,227,189,157,115,178,180,182,166,157,131,96,213,222,218,216,213,213,209,238,239,241,243,243,243,243,242,244,255,214,159,130,102,79,146,176,151,164,157,100,172,232,218,216,213,212,210,239,241,242,245,244,244,246,242,249,255,223,178,146,99,81,74,112,129,197,187,119,123,234,217,218,215,214,211,241,243,243,245,246,246,247,243,253,255,221,195,140,112,105,76,173,160,168,212,149,86,205,226,218,218,216,213,243,245,246,246,247,248,248,245,255,255,221,198,125,121,90,137,225,202,168,182,161,79,147,235,217,219,216,213,244,246,248,248,248,248,249,246,253,254,229,199,119,126,101,200,228,203,178,145,133,92,118,235,219,220,216,214,245,247,247,249,251,249,251,248,253,253,231,180,131,111,133,232,225,199,160,145,108,73,158,235,219,221,219,214,246,248,249,250,251,251,252,249,254,248,224,175,153,96,161,234,211,185,149,131,105,69,214,229,222,220,217,218,246,248,249,252,251,250,250,248,248,241,217,184,163,99,181,228,195,170,145,122,75,114,241,225,225,221,219,220,244,246,248,248,247,247,246,246,242,234,212,193,169,111,184,212,178,161,140,104,58,194,235,223,222,219,219,217,245,247,249,250,250,253,255,246,240,238,210,200,167,109,172,191,161,145,124,62,117,241,226,225,224,229,232,162,247,250,250,250,255,240,218,254,231,222,213,201,133,103,145,161,137,120,75,80,226,231,231,234,220,198,141,69,247,249,250,249,255,175,70,135,184,189,183,150,96,103,121,134,110,82,51,194,243,231,213,145,89,55,44,54
15,132,131,129,82,132,102,27,72,82,83,85,89,93,99,113,125,133,140,144,147,152,157,162,166,169,172,174,176,137,134,128,87,135,94,29,75,82,84,87,91,94,100,115,126,136,142,145,148,153,159,164,167,170,174,176,178,141,137,126,94,140,87,33,78,82,85,88,91,95,101,116,128,138,143,146,150,156,161,166,170,172,175,178,180,145,141,123,102,145,77,36,80,83,86,89,92,95,103,118,128,138,146,149,151,157,162,167,171,175,176,179,181,147,144,117,111,148,67,42,82,83,86,89,93,95,104,119,130,140,147,150,153,159,165,170,173,176,179,181,183,150,148,110,121,150,59,48,83,84,87,90,94,96,104,119,131,142,148,151,155,161,167,171,174,178,181,183,185,154,151,105,132,150,52,53,84,85,86,90,93,96,106,120,133,143,150,153,157,163,168,173,176,180,182,185,186,156,156,101,152,157,109,105,122,116,113,109,104,101,108,120,133,143,150,152,158,164,168,173,177,180,183,186,187,158,159,112,175,146,141,137,161,149,148,150,154,141,127,120,130,141,143,145,156,164,169,174,178,181,186,187,188,158,160,97,147,110,109,110,138,124,122,149,162,142,125,130,154,162,143,124,119,162,171,175,180,183,186,188,190,160,160,93,152,120,65,83,106,103,102,132,145,131,114,145,162,160,154,158,112,120,168,177,181,185,188,190,192,163,160,93,161,131,30,77,89,89,91,99,119,123,137,175,158,147,173,168,147,107,110,173,182,186,189,191,194,166,158,97,165,123,29,82,88,89,90,103,134,136,136,169,140,136,169,158,162,127,92,110,176,187,189,193,195,167,155,104,169,114,30,85,88,89,91,166,154,116,107,108,111,140,149,157,145,131,107,82,105,173,191,195,196,171,150,112,173,104,33,88,89,88,96,175,171,131,98,66,80,144,156,154,120,107,102,89,77,91,169,196,198,176,144,124,176,94,37,90,89,88,89,151,182,159,142,122,129,139,140,131,96,85,89,84,80,75,92,185,198,180,136,135,177,83,40,92,89,92,128,169,172,166,142,122,123,121,119,121,100,83,85,82,78,74,71,122,199,181,128,146,177,74,45,93,86,150,162,158,137,153,129,93,104,102,101,102,90,81,87,84,79,76,74,76,150,184,121,153,178,65,49,94,87,156,138,123,112,126,102,81,83,81,78,81,83,88,99,97,80,74,78,77,80,186,114,162,179,56,53,95,89,107,101,87,102,101,84,77,85,79,70,91,98,108,115,101,76,73,78,79,77,190,109,169,177,49,57,94,89,89,89,90,117,156,128,98,94,92,80,87,98,105,105,91,74,74,80,83,81,192,106,177,177,43,62,94,89,88,89,92,94,112,110,87,76,105,120,79,84,101,98,85,79,80,86,83,82,195,104,187,177,37,66,94,88,87,89,90,93,98,114,125,134,145,128,105,100,97,89,84,85,86,85,81,79,195,105,192,174,33,70,94,88,86,87,89,91,99,117,132,145,155,142,77,90,106,112,101,93,79,68,62,58,192,109,196,166,30,75,93,88,86,87,88,90,98,116,132,144,156,121,74,65,118,98,67,46,33,28,26,19,187,113,198,158,28,78,91,86,84,85,86,89,98,115,131,145,156,101,76,72,40,43,41,30,25,21,18,13,180,122,200,147,28,81,90,84,82,84,85,87,96,114,131,146,148,89,72,70,54,20,40,30,24,19,17,12,174,133,203,138,29,84,89,83,81,82,84,85,95,112,130,144,133,78,72,68,65,12,31,29,20,15,16,11
14,191,192,193,194,195,195,196,196,197,196,196,196,197,196,196,197,198,197,197,197,197,196,196,196,195,194,193,194,192,193,194,195,196,197,197,198,199,198,199,200,201,191,189,198,199,198,198,198,198,198,198,198,197,196,195,195,193,194,196,196,197,199,200,200,201,204,208,204,190,162,162,193,199,199,200,200,200,200,200,199,199,198,197,196,195,196,197,198,199,200,200,202,209,219,205,176,151,131,132,170,190,190,194,200,201,201,201,200,199,199,198,197,196,197,199,200,201,201,202,213,226,215,169,132,120,113,123,153,170,157,169,198,202,203,202,202,201,200,200,200,197,199,200,201,201,202,214,233,220,181,136,113,113,106,114,135,145,134,163,200,204,205,205,204,203,202,202,201,200,201,202,202,202,205,231,236,189,137,108,103,107,103,107,115,127,132,165,194,203,206,207,206,205,204,203,202,201,202,203,204,204,211,240,230,167,111,90,91,99,110,116,112,131,153,160,162,189,207,208,208,207,206,204,204,202,203,204,205,206,220,244,221,158,110,94,94,93,102,107,102,115,141,144,136,180,207,209,209,209,207,206,206,203,203,205,207,208,227,245,209,146,106,101,105,94,99,107,112,116,122,122,127,172,195,207,210,209,209,208,208,206,206,207,208,210,235,246,212,154,111,104,108,102,108,115,122,120,121,131,137,147,158,192,210,211,211,210,209,207,208,209,210,215,242,248,220,169,127,106,102,109,112,109,121,133,151,156,149,145,155,173,202,213,213,211,211,208,209,211,211,222,248,249,221,172,134,111,102,114,118,143,175,192,205,202,188,173,178,168,198,215,214,213,212,208,209,211,212,227,251,250,222,174,135,114,105,110,125,184,213,215,216,215,202,184,182,167,200,215,215,214,213,209,211,213,214,230,252,251,227,183,140,114,106,109,150,207,218,218,218,217,196,180,179,164,201,216,216,215,214,210,212,214,215,232,253,252,231,190,147,115,104,122,188,218,219,219,219,218,191,177,176,157,191,217,217,216,216,211,214,216,216,234,253,253,234,194,152,118,103,141,209,220,221,221,221,215,183,169,172,154,175,216,219,218,218,213,215,217,217,235,253,253,235,198,157,123,105,158,216,221,222,222,218,196,175,174,170,153,172,216,220,220,219,215,217,217,218,236,254,253,237,200,160,130,106,135,183,199,204,210,198,169,171,176,165,156,192,220,221,220,220,216,217,218,220,239,254,253,237,200,164,139,112,103,121,137,147,163,161,157,168,169,160,179,215,223,222,221,221,217,218,220,222,242,254,253,236,201,175,152,123,105,111,122,135,145,148,154,161,158,167,207,224,224,223,223,222,218,219,221,224,245,255,253,236,207,187,163,134,113,120,133,143,149,151,149,149,155,194,223,226,225,225,224,223,220,221,222,225,246,254,253,240,216,195,167,140,122,126,139,146,149,150,145,140,174,218,227,228,227,226,226,225,221,222,223,228,248,254,253,244,225,199,168,142,127,126,138,144,146,146,142,159,207,227,229,228,227,227,227,228,222,223,224,231,250,254,254,247,228,198,163,137,126,124,135,141,141,140,154,200,226,229,229,229,228,228,227,228,222,224,225,234,251,254,253,245,222,183,144,124,119,122,132,137,139,143,187,225,230,230,230,230,229,229,228,228,222,222,222,233,244,241,237,222,194,152,116,107,109,117,126,131,138,167,217,231,232,232,232,231,230,230,229,229,210,199,188,190,189,179,170,153,133,109,90,86,95,110,119,126,149,203,229,233,233,233,233,233,231,231,231,230
2,145,145,145,146,146,146,145,144,145,143,141,141,140,140,139,139,139,135,134,135,134,132,132,129,128,126,126,125,147,147,147,146,147,147,146,146,145,145,144,143,142,141,139,140,141,137,138,137,135,133,132,131,130,128,126,124,147,147,148,148,147,147,147,147,146,145,145,145,145,144,141,142,142,141,140,138,137,135,132,132,131,130,127,124,149,149,149,149,148,149,149,148,147,147,147,145,142,139,140,137,137,142,142,141,140,137,134,132,131,130,129,126,151,151,151,150,150,150,150,149,148,149,147,154,148,134,136,132,115,119,123,127,129,133,136,136,132,131,130,128,152,153,152,152,152,151,151,151,151,148,158,179,172,166,166,165,147,121,97,84,83,116,127,131,133,132,131,129,152,153,152,152,152,152,153,152,152,143,146,158,152,144,148,154,150,145,123,87,91,118,91,100,140,132,131,130,153,154,154,154,153,153,155,150,155,167,156,160,164,151,135,123,101,111,129,124,140,102,65,116,140,133,132,131,154,156,156,155,155,155,153,156,180,170,160,159,162,158,149,143,113,118,121,101,107,80,98,143,136,136,134,132,155,156,157,157,156,156,153,177,166,125,111,124,136,125,124,155,122,110,123,71,90,110,137,141,137,135,136,134,157,157,158,158,157,156,173,175,136,138,152,155,156,139,137,146,94,72,90,102,145,145,144,145,142,138,136,136,157,157,158,158,158,160,181,157,155,175,177,153,128,116,100,95,108,138,140,148,147,149,139,120,110,130,140,136,158,158,158,159,158,167,169,168,167,152,128,106,76,63,42,87,160,151,153,147,149,118,75,59,58,69,129,139,159,159,159,159,159,168,172,178,147,106,78,56,49,45,35,46,152,151,148,155,111,54,61,70,75,53,113,143,158,159,160,158,156,174,185,158,118,80,54,43,43,40,42,29,83,163,159,132,58,65,76,81,74,80,133,139,158,159,161,156,153,190,179,130,86,65,50,40,42,42,42,42,36,87,140,87,55,82,81,71,95,132,141,138,160,160,161,155,162,194,157,108,76,68,46,38,44,42,42,45,48,32,39,64,67,79,70,93,144,143,139,138,161,161,162,153,163,178,135,95,76,59,38,42,45,50,51,54,59,55,39,65,72,68,72,135,147,143,141,139,160,160,161,153,160,169,130,93,69,52,40,44,51,58,61,66,69,72,56,67,75,66,99,152,144,144,143,140,158,158,161,147,162,171,130,94,68,56,41,45,55,66,71,75,79,83,70,63,76,65,126,151,145,145,142,139,159,159,163,140,163,165,126,97,75,63,48,45,59,73,83,86,89,88,78,65,69,108,146,145,144,142,137,138,160,160,165,143,162,158,122,97,77,68,58,47,63,79,86,88,91,86,73,71,118,148,147,146,143,143,160,176,159,160,164,143,157,156,126,100,82,75,65,49,63,80,84,85,85,82,65,106,156,147,147,145,162,166,195,196,158,159,164,143,154,151,121,99,88,79,66,52,67,74,77,78,76,67,87,144,150,149,144,185,215,183,171,199,162,163,166,147,151,149,117,100,86,76,68,58,70,69,71,72,67,89,144,156,155,145,175,212,199,211,175,172,134,134,139,127,149,146,117,99,81,75,70,66,69,69,67,70,91,131,140,138,128,170,206,207,196,188,205,161,67,68,65,79,162,141,113,90,79,76,74,69,63,69,72,60,63,63,65,52,124,212,204,208,191,175,195,192,67,71,63,109,161,136,112,86,79,77,74,70,62,69,68,60,60,62,52,99,213,204,204,210,184,165,189,191
6,199,200,200,199,200,200,199,199,199,199,198,197,196,195,194,191,191,189,189,187,186,185,183,181,181,179,176,173,201,202,201,201,202,202,201,201,202,201,201,200,199,197,196,195,194,192,191,190,188,187,186,184,182,181,179,177,202,203,203,203,203,204,203,203,203,204,202,201,201,200,198,197,196,195,194,192,190,189,188,186,185,182,179,178,204,205,205,205,205,205,206,207,206,206,205,204,202,201,200,199,197,198,196,195,194,194,193,191,188,186,182,180,206,206,207,207,207,206,207,208,207,206,206,206,206,206,205,204,203,200,196,191,187,185,178,173,174,173,182,185,207,207,208,208,208,208,209,209,212,213,210,204,202,198,189,181,173,159,143,146,153,153,138,145,194,178,159,188,208,208,209,208,207,209,211,211,197,175,165,156,158,156,151,143,143,139,125,146,144,135,137,137,167,146,147,191,209,210,211,209,209,212,206,187,164,144,141,148,150,159,159,155,139,126,115,108,101,107,111,104,117,145,182,189,212,211,211,212,212,195,178,174,165,139,118,126,132,126,112,108,92,86,102,127,146,165,175,187,196,198,193,190,212,212,214,213,183,167,172,169,155,133,95,83,63,94,157,163,171,177,197,210,210,207,204,201,197,195,193,193,213,215,212,179,164,170,172,169,166,159,127,77,48,85,159,192,216,216,207,205,202,201,200,200,198,197,195,194,218,213,184,169,174,179,178,178,181,165,109,65,64,58,52,59,87,194,211,206,207,204,203,202,200,198,197,195,198,175,174,183,182,183,180,170,175,131,68,56,59,64,68,66,41,118,222,206,208,207,204,203,201,200,198,195,170,174,185,183,180,181,165,160,166,129,94,63,40,54,62,67,61,49,191,215,208,207,205,203,202,200,198,196,175,180,184,185,183,169,160,167,168,170,151,94,50,50,49,49,60,121,207,209,208,208,207,204,202,201,200,198,178,180,186,186,177,162,161,164,161,167,141,80,57,57,61,43,152,229,210,210,209,208,207,206,204,202,200,199,177,184,186,175,164,159,158,154,151,146,111,61,49,54,62,34,150,226,209,212,209,207,208,206,205,203,201,200,179,178,165,163,165,160,159,147,134,135,125,82,40,48,44,105,207,212,210,210,209,207,207,204,202,200,197,197,168,156,154,161,156,146,137,130,134,150,155,103,56,64,42,161,229,211,210,208,208,208,206,203,203,204,206,199,156,156,156,147,133,128,128,135,143,153,142,88,57,54,36,165,223,211,209,209,208,207,207,210,197,175,138,103,156,154,143,133,129,130,129,124,121,117,85,49,59,69,146,219,214,221,221,217,211,209,210,160,89,61,53,50,143,130,118,126,129,126,110,90,76,64,60,127,188,210,223,219,212,179,165,118,103,104,93,60,55,58,43,49,106,81,75,96,105,99,80,67,70,112,167,223,218,215,214,212,127,77,68,34,43,43,38,46,41,51,41,29,63,47,62,85,87,84,79,84,100,120,122,113,116,121,120,97,68,62,60,44,30,48,34,40,33,36,37,22,51,66,115,112,112,114,113,111,110,106,105,104,89,77,62,54,52,50,38,50,21,38,31,30,32,34,27,23,47,96,128,117,118,124,119,114,120,119,121,106,65,47,55,49,41,42,38,44,26,25,30,26,29,32,21,27,53,106,115,112,114,115,112,111,113,108,89,58,51,34,42,47,36,35,33,36,30,15,26,25,28,31,17,28,62,112,112,113,117,115,112,113,105,83,68,36,43,36,30,45,31,31,27,29,32,13,23,25,27,28,19,27
12,156,157,158,160,161,161,162,163,163,163,163,164,164,165,165,165,165,166,166,165,164,165,165,165,164,164,163,163,158,159,160,160,161,162,163,165,164,165,165,165,165,165,166,168,166,168,168,166,166,167,166,166,165,165,164,164,160,160,161,162,163,163,164,166,166,165,165,167,167,171,169,160,168,167,168,169,168,167,168,167,167,166,167,166,161,162,163,164,164,165,166,167,165,170,178,166,164,189,181,141,128,175,172,152,165,168,168,168,168,167,168,167,161,162,163,165,166,167,167,166,169,204,199,163,143,197,185,136,81,162,180,132,121,173,169,170,170,169,170,169,162,163,165,167,167,168,168,164,174,211,202,160,139,199,183,145,80,165,165,128,82,156,176,169,170,170,170,169,163,164,167,168,168,170,168,165,181,206,199,163,133,203,179,151,108,178,155,110,71,132,182,170,172,172,172,172,164,166,168,167,169,167,177,198,164,163,190,191,121,187,196,143,123,180,163,109,63,120,182,171,173,173,172,172,165,167,169,169,170,167,203,202,160,121,156,163,103,165,188,106,123,191,141,94,60,114,181,172,174,174,174,173,167,169,169,171,168,181,211,202,179,119,130,126,68,91,112,80,131,154,92,70,63,109,185,174,176,175,174,173,168,170,170,171,168,193,208,204,182,142,105,114,70,56,58,149,176,157,115,110,99,115,187,175,176,176,175,174,169,170,172,172,169,200,186,195,188,156,115,71,95,77,146,207,202,183,152,147,126,122,187,176,177,176,176,175,169,172,172,172,173,208,203,175,179,159,121,79,75,127,211,206,199,182,156,136,112,102,183,178,179,177,176,177,172,173,175,171,184,211,206,167,166,162,132,100,65,189,211,206,198,182,159,129,99,102,185,180,180,178,178,179,172,174,177,172,185,211,207,191,155,148,166,136,101,211,209,207,198,181,147,123,94,103,187,179,181,180,179,180,172,174,176,175,179,211,209,191,164,138,143,155,177,211,207,207,198,174,146,121,97,90,183,183,182,182,180,180,173,175,177,174,182,211,210,198,183,177,149,185,203,211,203,203,198,169,151,116,92,88,183,185,182,182,182,181,175,175,177,175,186,211,210,206,195,191,174,184,194,211,200,197,191,173,145,112,81,108,193,182,185,183,183,183,175,176,179,177,183,211,211,209,201,192,180,183,184,206,197,186,180,173,131,102,72,154,192,183,185,184,185,184,176,177,179,180,180,208,211,209,203,187,174,183,183,198,190,177,177,161,119,83,93,191,186,185,185,185,185,185,176,177,179,182,178,198,211,207,200,180,168,176,181,192,187,176,166,140,103,66,153,195,186,186,186,185,186,186,179,182,184,188,183,199,211,193,187,178,173,181,185,200,190,171,154,124,74,102,194,186,189,187,186,186,187,186,170,159,149,141,126,121,120,101,96,95,90,94,86,87,83,77,78,74,54,155,206,191,190,189,188,188,189,188,117,107,102,99,83,71,70,65,56,48,42,40,27,24,27,23,21,22,25,46,97,178,191,188,188,188,187,187,114,101,105,97,87,79,75,69,60,53,50,44,34,32,30,28,24,22,20,16,3,162,195,187,188,187,186,186,136,98,104,98,86,79,71,66,59,51,47,40,32,31,31,29,23,20,22,6,85,202,186,189,187,187,187,187,154,100,103,94,86,79,69,64,56,50,46,39,32,32,31,28,22,17,20,6,157,201,188,190,189,189,190,189,163,103,100,95,88,78,72,63,57,48,42,40,33,32,30,27,23,18,18,22,180,195,192,192,190,190,190,190
5,113,114,115,115,116,118,118,118,120,123,122,124,124,124,122,128,124,123,123,123,123,122,122,123,120,119,117,121,117,117,119,121,121,122,123,123,123,123,125,125,126,127,133,102,126,127,125,125,124,122,122,124,124,120,128,82,123,123,124,125,125,126,127,128,127,128,128,132,130,133,155,40,112,133,129,128,126,128,127,125,125,130,99,0,126,127,129,130,130,131,132,132,133,133,133,128,127,163,129,39,128,135,132,132,142,88,117,129,127,119,16,0,132,133,133,134,135,135,136,137,138,133,161,87,101,182,74,82,148,134,132,132,115,43,116,133,138,74,0,2,136,138,138,140,140,141,141,140,141,133,179,94,104,160,49,127,143,141,122,116,56,77,140,135,133,33,0,26,141,142,143,144,145,146,145,144,145,139,179,103,109,123,59,152,145,122,112,66,61,143,141,140,129,22,16,23,145,147,147,147,149,149,149,149,150,147,172,98,97,80,90,159,113,100,82,51,140,146,144,142,145,55,21,23,149,150,151,151,153,152,153,153,153,150,185,115,67,52,135,109,70,70,43,125,157,147,148,146,149,76,17,17,152,154,154,155,156,156,156,156,155,155,189,131,65,65,120,64,55,31,113,162,151,151,149,148,154,103,11,0,156,156,157,158,159,159,159,158,159,160,179,119,65,65,69,64,41,83,173,156,156,156,152,151,155,134,9,0,158,159,161,161,162,161,162,162,164,161,169,137,64,46,45,65,40,134,162,151,166,158,155,156,159,145,90,85,160,162,164,164,164,164,164,164,165,163,170,159,88,40,36,45,59,146,90,87,132,166,163,159,156,161,87,131,163,164,166,167,167,167,166,167,168,168,168,170,110,50,41,38,56,68,72,107,108,122,149,163,165,164,85,172,166,167,168,168,170,169,170,170,171,171,173,186,145,79,42,45,40,56,62,85,130,128,123,136,140,133,144,116,169,170,170,171,173,173,174,173,172,172,176,194,167,104,49,40,52,44,32,69,96,98,119,126,101,91,121,82,171,171,172,173,174,174,175,175,176,176,175,199,181,113,56,32,48,32,82,169,156,138,112,108,145,133,71,90,173,174,174,176,176,175,176,178,179,178,177,204,185,121,64,31,28,64,192,175,180,171,131,151,136,80,126,162,174,175,177,178,178,178,178,179,180,178,177,208,184,125,72,33,6,73,159,188,170,118,133,125,61,115,184,169,177,177,178,179,181,180,180,180,181,180,179,211,181,122,73,27,17,44,48,143,111,117,129,65,72,179,174,172,178,179,180,181,181,182,182,181,183,179,188,211,174,122,73,25,24,52,56,57,83,117,80,82,174,178,176,176,179,180,181,182,182,183,183,183,186,174,189,209,169,121,74,32,29,56,63,78,85,79,75,177,182,177,178,175,180,181,183,184,184,185,185,185,187,175,192,203,164,118,72,35,35,66,72,79,64,59,167,187,179,182,179,178,181,183,185,185,186,187,187,187,185,175,199,195,160,114,69,34,34,66,76,73,47,145,194,179,183,182,182,181,182,184,185,186,187,187,188,192,177,181,211,189,153,105,66,39,34,68,79,52,86,199,185,185,187,185,183,181,184,186,187,187,188,188,189,192,170,207,209,181,147,105,63,41,43,74,70,38,153,195,188,190,188,187,185,182,186,188,188,188,190,189,193,178,183,215,195,176,152,102,58,43,50,72,45,97,200,188,190,189,187,188,186,184,186,188,188,189,191,192,190,170,198,196,188,171,131,79,51,40,53,57,76,187,194,192,191,190,189,187,186,185
0,179,180,183,185,186,190,191,192,193,194,195,198,200,200,199,199,200,201,202,202,200,201,202,201,202,201,200,200,179,182,185,188,190,191,192,193,194,196,196,198,199,201,201,199,202,202,202,202,202,201,201,202,202,202,201,203,179,182,186,190,191,192,195,194,197,200,198,201,201,199,199,203,202,200,202,204,204,204,206,206,204,204,206,204,181,184,186,189,191,192,195,197,199,200,199,201,205,203,211,202,202,207,221,204,198,231,191,196,211,208,206,204,183,186,189,191,192,194,197,200,199,208,231,203,182,234,235,190,161,221,240,199,168,230,189,165,216,207,208,207,186,187,191,191,194,198,197,202,196,240,247,213,148,197,232,196,144,163,233,206,151,192,214,148,205,214,208,209,186,190,192,194,197,195,222,226,185,241,237,223,165,164,231,207,165,143,238,208,145,143,218,168,157,199,213,209,188,191,193,197,196,211,252,230,181,211,247,221,187,165,230,211,164,160,240,197,146,97,192,199,166,149,187,216,190,192,194,197,193,235,254,237,201,189,247,217,193,157,235,223,154,165,237,175,136,55,141,210,194,137,147,224,192,194,196,197,200,248,252,248,217,174,236,222,186,154,242,224,140,132,205,155,108,48,167,225,203,144,157,226,193,194,197,192,214,242,226,250,226,166,217,224,176,146,230,207,138,93,151,144,80,74,224,227,210,139,186,226,194,196,201,192,236,243,218,232,195,134,185,207,162,126,176,172,133,82,148,137,70,162,236,221,179,131,214,221,196,200,197,204,251,240,196,206,154,98,149,178,150,105,122,154,101,81,177,178,185,221,219,198,143,146,228,218,196,200,193,226,254,233,188,185,162,113,131,173,156,87,96,143,116,190,235,231,218,195,189,163,133,165,230,220,200,204,197,218,254,245,221,179,160,131,121,193,163,73,83,181,235,250,237,224,204,177,156,147,118,182,231,222,202,207,202,216,254,250,234,207,173,154,157,189,159,136,209,252,252,240,230,216,189,160,143,132,130,220,227,226,202,205,201,223,254,252,241,223,208,177,180,197,217,248,254,251,246,232,213,194,168,144,131,123,203,231,226,226,201,205,201,224,254,253,250,236,226,204,193,221,239,253,251,249,239,223,197,170,145,135,112,178,233,224,230,228,202,205,203,220,254,253,253,244,233,221,209,220,237,254,251,241,231,208,182,151,134,116,142,233,227,228,229,229,203,205,206,216,254,252,253,246,231,218,211,213,227,244,239,224,212,192,158,138,118,119,217,233,229,231,229,229,203,205,209,210,249,253,250,239,222,205,204,209,217,224,217,202,181,166,140,118,108,205,238,229,230,231,230,230,206,211,215,212,241,254,251,239,222,203,204,214,217,218,201,181,152,136,114,87,184,242,229,232,232,232,231,232,204,200,200,187,201,216,195,186,177,169,181,196,192,189,166,152,132,110,82,167,241,230,234,232,233,234,233,232,154,137,135,128,116,109,107,95,85,74,74,71,61,59,57,60,68,66,91,220,243,231,233,233,235,234,233,233,126,128,125,117,114,111,101,89,82,66,59,46,37,36,32,29,27,34,40,52,167,246,231,235,236,234,234,234,134,131,130,121,117,108,98,88,78,65,58,48,41,39,36,33,31,33,38,9,111,254,231,236,235,236,236,236,157,129,131,122,119,106,96,85,70,63,56,49,39,37,34,30,29,29,31,27,210,242,234,238,236,236,236,236,174,132,126,123,118,105,92,83,71,61,52,48,40,38,34,29,27,30,16,99,254,232,236,237,238,238,238,238
24,190,191,194,194,195,195,197,197,197,197,197,197,196,196,196,194,194,193,192,192,192,189,189,188,187,186,185,185,191,193,195,195,196,197,197,198,198,198,198,198,198,197,196,196,195,195,195,195,193,191,191,191,190,188,188,186,192,194,196,197,198,198,199,200,201,200,200,201,201,200,199,198,197,197,196,195,195,193,192,193,192,190,189,188,193,194,196,198,199,200,200,201,201,200,201,201,201,201,200,199,199,198,196,197,196,195,195,194,192,191,190,190,194,195,197,198,198,197,201,203,203,202,202,202,202,202,200,199,199,198,198,198,196,196,195,195,194,193,192,191,195,196,199,197,210,186,165,207,202,204,203,203,203,202,202,201,201,200,198,198,198,198,197,195,195,194,193,192,196,197,200,198,217,167,150,210,202,204,203,204,203,203,202,202,201,201,199,199,199,198,197,197,196,195,194,193,196,198,200,201,214,148,163,211,203,205,205,205,207,204,202,202,202,201,201,200,200,199,198,197,197,196,195,194,198,200,200,206,212,147,171,212,205,206,205,203,200,206,205,203,203,203,202,202,201,200,199,197,197,197,196,195,200,201,202,209,211,145,175,218,206,206,211,209,182,157,204,206,203,204,202,203,203,202,203,201,197,197,197,196,201,202,202,211,200,161,179,189,210,177,178,212,196,156,141,205,206,204,205,203,195,184,176,195,202,199,198,198,201,204,203,214,209,213,208,183,223,182,144,202,206,166,112,161,212,205,201,186,153,140,127,154,207,200,200,198,201,205,204,213,213,231,209,202,223,195,141,196,201,157,113,130,206,204,197,162,129,131,153,179,203,201,200,199,203,206,206,214,208,237,213,212,229,190,127,163,171,135,98,108,187,204,182,143,127,188,207,204,202,202,201,200,204,208,206,218,232,234,206,214,235,180,132,87,132,162,139,148,184,185,154,129,175,214,204,204,204,203,202,201,204,208,207,223,228,218,189,177,206,156,118,116,192,208,196,186,183,159,128,151,211,206,208,206,206,204,203,201,205,207,212,221,199,202,180,146,142,145,184,224,220,204,191,174,166,151,129,198,211,208,209,207,207,205,204,202,206,206,216,233,209,197,185,170,140,224,238,225,217,201,178,162,151,140,166,216,208,210,208,207,208,205,204,204,207,205,222,238,218,198,183,193,229,244,227,222,212,190,167,149,146,141,205,214,210,210,209,208,208,206,205,205,208,206,230,241,222,210,211,234,245,237,230,217,201,178,152,148,132,164,219,212,213,210,210,209,209,207,207,206,208,206,234,242,226,218,231,244,243,233,226,207,185,160,148,140,139,210,215,213,214,212,211,210,209,209,208,207,210,207,234,248,230,220,236,242,230,214,208,190,166,151,141,136,199,219,215,215,214,213,212,211,210,210,209,207,210,207,229,250,233,217,226,229,221,200,188,172,153,144,139,199,222,215,216,215,214,214,213,213,211,210,209,208,211,210,222,235,221,217,229,231,221,201,187,165,144,125,191,225,218,219,217,216,216,215,214,213,212,212,209,209,210,212,216,222,216,223,228,221,217,194,177,155,120,147,224,219,220,219,218,216,217,216,215,213,213,212,210,209,211,213,215,227,235,227,223,212,214,191,169,143,112,187,226,220,221,220,220,218,217,216,215,215,213,211,211,210,211,212,214,238,236,215,221,212,202,185,167,133,122,212,224,222,221,221,221,219,217,217,216,215,214,214,212,210,209,211,213,244,235,206,226,207,193,185,161,136,125,214,223,220,220,221,219,218,216,216,216,215,214,213,212,210
2,164,164,164,165,166,166,166,165,165,165,165,165,165,165,165,165,164,165,164,163,162,160,160,162,154,72,41,58,167,168,169,167,167,168,167,168,168,169,169,170,168,168,168,167,162,167,166,166,163,163,164,166,145,58,53,63,172,173,173,171,171,172,172,172,173,174,174,173,170,175,179,147,100,134,150,137,170,168,167,168,158,78,63,58,175,175,176,174,174,175,175,176,176,175,174,177,183,177,140,100,73,78,100,78,122,162,169,169,169,106,63,64,178,178,178,177,177,178,178,179,178,179,192,198,161,110,82,70,63,64,73,62,61,133,175,171,175,123,60,54,181,181,181,180,181,181,181,182,179,190,202,177,105,62,63,60,55,49,58,60,56,131,178,173,176,146,65,37,183,184,184,183,183,183,185,184,182,207,181,111,71,51,53,58,52,48,53,61,96,169,176,174,175,170,73,30,186,186,187,187,187,186,187,185,193,214,142,74,61,55,48,52,59,72,115,150,177,180,179,176,177,176,109,92,188,188,189,190,190,189,189,184,208,200,123,78,62,69,58,61,76,146,188,185,183,183,181,179,180,179,145,129,188,191,192,192,192,192,191,195,213,173,105,64,59,64,61,85,163,189,186,186,186,185,183,182,182,186,114,148,192,193,193,193,193,194,189,207,208,157,103,68,62,56,67,122,200,191,189,188,187,187,187,186,184,185,126,172,194,196,196,196,195,195,195,221,200,148,103,84,74,61,65,147,199,195,193,190,190,189,188,187,186,185,168,156,195,196,198,199,198,195,206,230,187,135,95,82,78,75,72,182,198,195,194,194,193,192,191,189,187,188,188,162,197,197,198,200,199,194,218,224,176,123,85,76,72,77,92,198,198,197,195,195,194,195,194,192,190,191,188,182,198,200,199,199,197,195,230,212,168,121,86,73,71,75,103,202,199,197,195,195,195,194,194,194,193,193,190,183,199,200,200,202,196,212,228,198,156,112,86,75,77,71,120,209,201,198,198,197,197,196,197,196,195,196,196,191,201,202,202,203,197,228,221,185,144,104,84,73,70,64,108,207,202,201,201,201,201,200,195,185,177,170,177,194,203,203,205,199,201,232,214,177,136,98,80,68,65,75,73,142,210,203,205,203,187,174,164,160,154,141,118,147,204,205,207,194,216,227,205,166,125,96,77,58,68,79,81,80,174,200,187,166,159,159,168,159,140,122,111,132,206,208,203,200,228,223,195,151,115,94,70,54,76,82,89,95,99,123,138,158,171,160,139,111,120,166,189,195,208,209,198,216,228,215,184,143,111,90,63,65,91,97,108,109,109,118,141,159,149,120,94,125,195,202,202,201,210,205,202,229,226,208,172,136,107,89,64,77,102,111,116,114,114,118,128,117,109,130,166,200,204,202,200,199,207,201,225,227,217,198,165,129,98,86,70,90,108,118,119,114,104,97,95,125,180,206,209,207,205,203,202,201,196,213,228,222,212,194,157,119,92,86,79,103,114,118,111,98,87,95,155,207,210,209,208,207,207,205,205,205,206,218,220,213,197,170,133,104,91,83,86,106,110,111,95,86,137,191,213,211,210,211,210,209,208,206,207,207,214,216,210,192,170,142,116,95,90,83,92,99,102,97,86,153,215,216,212,211,211,212,212,212,210,209,208,207,212,209,193,169,150,131,107,93,88,91,91,91,90,102,169,217,215,215,214,213,214,213,213,213,211,210,208,207,209,200,180,146,134,112,91,92,93,92,89,85,136,202,219,216,216,216,216,216,215,214,214,213,212,212,210,209
19,166,167,168,170,172,173,172,172,173,172,172,172,171,171,170,170,169,167,166,167,166,166,164,163,164,163,161,160,166,168,170,171,171,173,173,173,174,174,174,173,172,172,171,171,170,168,167,167,167,166,166,165,165,165,164,162,168,170,171,172,173,174,174,175,175,175,175,175,174,173,174,171,171,170,169,169,169,167,167,167,168,166,165,165,170,171,172,173,175,175,176,176,176,175,176,175,174,174,174,173,172,171,171,170,170,170,169,168,168,165,166,166,171,172,173,174,175,177,178,178,178,178,179,177,176,176,175,174,172,172,172,172,171,171,170,169,167,166,167,166,171,172,174,175,177,179,180,180,179,179,179,179,179,177,175,175,174,173,173,174,173,172,170,170,169,168,167,166,172,174,177,178,179,179,181,181,181,181,181,179,179,178,177,178,176,175,175,174,174,173,171,171,170,168,168,168,174,177,178,180,180,181,182,181,182,181,181,180,180,179,179,180,180,178,178,177,175,175,173,174,171,173,170,169,176,178,179,180,182,182,183,183,184,184,182,180,180,180,176,160,162,176,171,171,172,172,169,169,175,151,167,170,176,179,179,181,182,182,182,182,183,180,180,183,181,184,182,164,170,183,170,167,176,170,169,169,158,95,157,174,176,180,180,181,184,185,184,187,191,165,154,162,171,174,168,164,171,173,162,170,186,173,152,129,106,129,173,173,179,180,180,181,185,186,183,184,165,155,163,166,163,167,163,151,121,122,120,123,148,135,129,135,157,177,175,174,179,180,181,183,185,180,188,192,174,177,183,175,161,154,130,125,111,87,87,131,169,169,180,183,180,176,174,175,181,182,183,184,186,176,213,219,199,187,184,176,169,150,109,80,99,86,83,167,188,181,180,177,177,177,176,175,182,182,183,186,188,179,218,214,181,157,136,139,141,133,109,87,98,88,97,180,182,180,180,179,178,179,178,176,183,183,185,186,190,179,203,201,163,125,114,82,87,142,116,93,99,89,107,185,183,181,181,180,179,180,179,178,183,185,186,187,190,175,194,197,156,111,84,62,113,152,117,98,102,87,127,191,182,185,183,182,181,179,178,178,184,186,188,188,193,172,195,200,165,135,94,74,116,112,100,100,98,96,115,191,185,185,184,184,181,180,179,178,185,187,187,187,193,171,194,202,170,138,114,92,61,52,56,69,83,94,94,184,187,184,184,184,183,181,180,179,186,188,187,189,195,165,192,201,170,141,114,107,92,69,62,71,86,90,91,173,191,187,186,185,185,182,181,181,187,188,188,189,195,170,184,198,168,140,115,106,107,90,84,89,94,98,94,172,191,186,187,185,185,184,183,183,186,188,189,190,196,172,182,195,164,137,118,109,108,92,87,93,98,102,103,181,190,187,187,186,186,187,186,184,186,189,189,191,198,178,183,192,162,135,117,107,107,95,91,96,103,101,120,193,189,188,188,188,187,187,186,184,187,189,191,192,197,178,190,189,156,132,116,106,106,103,100,103,112,101,156,197,190,189,189,189,188,186,186,184,188,189,191,192,195,177,196,193,161,135,121,107,105,111,108,112,107,126,191,194,193,192,190,189,189,187,187,186,188,189,192,194,194,175,200,189,167,145,123,108,105,113,112,110,136,184,196,193,193,193,192,192,189,188,186,186,187,188,190,192,189,180,197,179,158,146,123,108,111,111,105,147,196,194,192,193,192,191,189,189,189,188,187,185,186,187,190,194,186,195,196,181,154,137,124,110,109,104,106,176,194,191,192,192,192,190,188,189,188,186,185,185
14,136,139,143,145,147,149,150,152,153,154,154,155,156,156,156,157,157,157,157,156,155,155,154,154,154,153,152,152,136,141,144,146,149,151,152,154,155,156,156,157,158,159,159,159,158,160,158,158,158,157,156,155,155,154,154,154,138,142,145,148,151,153,155,155,156,157,159,159,160,161,161,161,160,161,163,161,161,159,158,157,157,156,156,155,140,142,146,149,152,155,155,157,159,159,160,161,162,162,162,164,160,162,154,158,161,163,160,159,160,159,157,157,141,144,148,150,153,155,157,158,160,161,162,164,165,164,164,164,177,168,146,149,148,145,165,162,160,161,160,159,142,146,149,153,154,156,158,160,160,161,164,166,166,165,166,181,178,169,156,147,140,126,124,159,164,161,161,161,144,148,151,154,155,156,159,162,163,163,165,166,167,167,181,182,182,162,155,170,146,121,90,108,169,163,163,162,144,149,152,154,157,160,161,162,165,165,166,167,167,173,183,176,171,118,83,143,123,150,90,58,123,173,163,164,146,150,152,156,159,161,162,164,166,167,168,169,175,187,177,124,97,90,66,63,91,173,124,72,95,171,165,165,149,152,154,158,161,161,164,165,166,169,169,178,194,192,165,126,88,58,56,56,50,141,149,97,77,163,169,167,149,153,156,159,161,163,165,167,169,170,171,192,191,163,130,112,94,67,53,56,67,139,126,105,78,140,176,167,148,153,157,160,162,165,167,167,170,166,187,197,181,153,102,74,74,64,55,74,155,179,163,144,88,121,179,167,149,153,158,161,163,165,167,171,166,179,205,188,176,151,106,75,57,54,66,172,181,166,162,126,73,137,179,170,151,155,158,162,164,166,168,168,172,204,195,184,172,132,104,81,51,48,149,187,175,167,152,125,66,107,184,170,152,156,160,163,165,167,171,168,199,207,192,184,162,137,110,68,44,57,101,145,191,155,137,116,80,70,162,177,153,157,161,164,167,170,169,182,211,203,190,176,159,128,96,61,59,70,66,78,159,129,136,115,97,69,147,182,153,159,162,165,168,172,169,203,210,198,184,173,152,109,82,60,84,93,94,92,84,119,138,120,78,102,179,176,155,160,163,167,168,167,183,212,200,192,178,162,134,104,79,77,99,103,104,109,95,116,128,99,83,172,180,177,155,160,164,166,176,172,205,206,194,183,167,157,126,106,84,91,104,107,106,103,104,108,109,79,157,185,177,178,156,159,165,168,121,168,219,200,187,176,164,146,132,106,86,96,107,104,98,96,107,82,69,151,188,179,181,179,156,160,172,135,71,88,166,195,170,155,144,136,116,86,86,89,99,101,92,92,77,70,141,190,180,182,181,181,156,164,157,85,83,76,74,119,152,143,115,90,67,68,78,77,87,90,78,78,125,173,190,183,184,183,182,182,157,167,110,82,76,75,73,70,79,83,75,63,57,60,63,63,63,63,86,158,196,190,186,186,184,184,183,183,165,136,80,82,72,71,70,75,62,30,43,44,41,40,42,36,88,141,181,194,186,187,188,186,186,185,184,184,156,97,81,73,71,69,68,66,76,43,30,39,36,33,34,26,70,199,191,188,189,189,188,187,187,187,185,185,114,79,75,72,71,68,65,64,71,52,22,34,33,32,34,22,88,198,187,190,189,190,190,188,188,188,186,186,90,76,66,67,65,59,60,60,73,50,20,30,30,29,32,21,152,202,190,192,191,191,190,189,188,188,187,187,89,77,70,60,50,87,75,52,75,38,21,30,27,27,26,39,182,195,192,192,192,191,190,190,189,188,187,187
24,158,160,163,163,164,165,166,166,167,167,166,167,166,165,165,163,162,162,161,161,160,158,157,156,155,153,152,152,159,162,165,164,165,166,167,168,168,168,168,168,168,166,166,166,164,164,164,164,161,160,160,159,159,156,156,154,160,163,165,166,168,168,169,170,171,170,170,171,171,170,168,167,166,167,165,164,164,162,161,161,160,159,157,156,162,163,166,167,169,169,170,171,171,170,171,171,171,172,170,169,169,167,165,166,165,165,164,163,161,160,159,158,163,164,167,168,168,167,171,174,173,172,172,172,172,172,170,169,169,167,167,167,166,165,165,164,163,161,160,159,165,165,169,166,181,153,129,178,173,174,174,173,173,173,172,171,171,169,168,168,168,167,166,164,164,163,162,161,166,167,170,167,190,132,112,181,173,174,174,175,174,174,173,172,172,171,169,169,169,168,167,166,165,164,163,162,166,168,170,171,186,110,127,182,173,175,176,176,177,174,173,172,172,171,171,170,170,169,168,167,166,165,164,163,168,170,170,177,184,109,137,183,175,177,176,174,170,177,176,173,174,173,172,172,171,170,168,167,166,167,165,165,170,171,172,181,183,106,141,190,177,177,183,181,149,121,175,177,173,174,173,173,174,173,174,171,167,167,167,166,171,172,172,183,170,125,146,158,181,144,144,183,166,119,102,176,177,175,175,173,164,151,143,164,172,168,168,167,170,175,173,186,180,185,179,150,196,149,105,172,177,131,68,124,184,175,172,153,116,101,86,117,178,170,170,167,171,176,175,185,184,205,180,172,196,164,101,165,171,120,69,89,177,174,166,126,88,90,116,145,173,171,170,168,174,176,176,187,179,212,185,183,203,158,86,127,136,95,52,64,155,175,149,104,86,156,178,175,172,172,171,170,175,179,176,191,207,209,177,186,211,146,92,40,91,126,100,110,152,152,117,88,142,186,174,175,174,173,172,171,175,179,178,196,202,190,157,144,177,119,76,73,161,179,165,154,150,122,87,113,183,177,179,177,176,175,173,172,176,178,184,194,169,172,147,107,103,107,151,198,193,174,159,140,130,113,88,168,182,179,180,178,178,176,174,173,177,177,188,208,180,166,152,135,101,197,214,199,189,171,144,127,113,101,130,188,179,181,179,178,179,176,175,174,178,176,195,214,190,168,151,161,203,220,201,195,184,159,132,111,108,101,176,186,182,181,180,179,179,177,175,176,179,177,204,218,195,182,182,209,221,212,204,190,171,144,114,110,92,129,192,184,185,182,181,180,180,178,178,177,180,177,209,219,200,190,206,221,220,208,200,178,153,124,110,100,100,181,187,185,186,183,182,181,180,181,179,178,182,178,209,225,204,192,211,218,204,186,179,159,131,114,102,96,169,192,187,187,186,185,184,183,181,181,180,178,181,178,203,228,208,190,200,203,194,169,157,138,116,105,100,169,195,188,189,187,186,186,184,184,182,181,180,179,182,182,195,210,194,189,204,206,194,171,155,129,105,83,159,199,191,191,189,188,188,187,186,185,183,183,181,180,182,184,188,195,188,197,202,194,190,163,143,118,78,108,198,192,193,191,191,189,189,188,187,185,184,184,181,180,182,185,187,201,210,201,196,184,186,159,134,104,69,155,200,193,194,193,193,190,189,188,187,187,185,183,183,182,182,184,186,213,212,187,194,183,173,153,132,93,80,183,198,195,194,195,194,191,190,189,188,187,186,186,184,181,180,183,185,220,210,177,200,178,162,153,125,96,83,186,196,193,193,194,192,191,189,188,188,187,186,185,183,182
16,167,169,169,172,176,179,182,184,187,189,190,192,194,196,196,197,198,199,201,200,200,201,201,201,201,200,200,201,168,169,170,171,176,180,183,185,188,189,190,192,194,196,199,200,202,202,204,205,205,203,201,201,203,202,201,201,167,169,170,171,176,181,184,186,188,190,192,195,196,194,187,180,175,171,171,176,184,198,208,205,202,202,202,202,169,170,170,173,177,181,184,187,189,188,186,181,172,164,153,142,133,131,130,122,114,119,153,188,208,202,203,204,169,169,170,173,178,180,184,182,190,166,164,155,151,153,148,140,133,122,120,122,111,94,93,99,151,207,204,203,168,169,171,176,178,184,194,196,204,173,165,152,145,150,144,137,132,126,115,117,119,102,99,97,87,154,212,202,169,170,171,176,176,189,209,206,205,182,167,148,137,140,139,138,129,130,119,115,113,104,103,100,102,92,184,210,168,169,172,176,177,184,201,209,205,179,162,136,130,130,129,134,130,126,125,117,113,107,103,99,105,92,121,216,169,170,172,176,176,190,200,214,204,177,147,127,115,120,122,128,128,124,129,126,111,108,111,103,95,105,87,182,169,170,172,176,176,190,204,215,197,169,127,113,97,109,124,132,136,132,134,132,113,107,114,99,98,107,91,121,169,170,173,176,180,184,205,214,189,149,116,112,84,69,125,135,150,147,148,137,117,111,117,99,100,106,105,84,170,170,172,177,180,179,206,210,177,137,108,99,69,43,101,130,148,170,168,149,118,113,119,101,100,106,109,97,170,170,172,176,180,181,202,201,162,132,102,91,84,66,89,113,152,179,169,149,117,114,110,101,101,103,107,107,169,170,172,176,180,182,194,184,147,125,94,98,97,95,99,90,170,174,153,142,123,115,103,103,103,104,106,109,167,168,170,174,177,181,189,174,133,105,86,104,102,96,88,105,181,160,149,139,121,104,103,103,103,107,107,109,166,168,171,174,178,183,198,167,117,105,78,93,98,115,149,175,172,147,145,129,105,96,103,105,104,106,106,107,169,169,172,176,178,185,198,162,111,131,120,136,173,201,200,180,152,143,136,113,93,98,102,107,108,107,106,105,168,169,171,176,178,185,204,159,102,174,201,201,203,202,190,171,137,127,119,114,97,99,103,106,110,109,108,107,167,169,172,176,178,186,199,147,106,190,197,197,199,201,192,158,130,106,130,133,104,103,104,106,110,109,110,109,166,168,172,175,176,186,194,124,122,200,196,197,199,201,194,157,118,111,172,149,120,111,105,107,108,109,110,111,166,169,172,174,176,187,186,108,140,201,195,197,199,201,197,165,96,144,203,160,136,118,110,107,108,110,111,113,163,166,169,175,173,196,178,98,165,198,195,197,200,202,195,174,103,164,215,169,149,129,117,110,109,109,109,112,163,167,170,172,167,209,151,106,181,187,189,191,191,194,187,172,124,147,209,171,159,140,127,116,112,111,111,114,127,127,129,131,127,154,120,109,130,130,131,134,135,136,136,136,125,122,134,135,165,149,136,126,121,116,113,115,120,118,119,121,119,119,119,118,118,121,119,119,121,119,119,120,119,117,115,114,153,159,145,134,126,121,117,115,123,124,124,125,126,125,125,124,126,127,128,127,126,126,126,125,126,124,126,117,140,169,151,140,132,127,122,119,123,123,123,124,125,124,123,125,125,125,125,125,124,125,125,123,128,133,131,127,129,170,160,146,138,134,128,124,124,125,124,124,125,124,123,125,125,125,125,124,123,125,124,123,125,124,125,125,122,167,169,157,148,141,131,125
10,149,150,150,152,151,153,154,153,153,154,154,153,152,153,151,151,150,149,148,147,144,154,146,115,142,140,139,138,153,153,154,155,155,156,157,157,156,157,156,156,156,156,155,154,153,152,151,151,146,162,154,98,137,143,140,139,157,157,158,159,159,160,160,160,161,161,159,159,160,159,158,158,157,155,154,155,150,165,156,99,133,148,142,142,160,162,162,162,163,164,163,164,164,163,163,163,163,162,162,161,159,159,157,157,153,168,148,94,132,153,145,145,164,165,165,166,167,166,166,166,168,167,167,168,167,166,165,164,163,162,161,160,157,170,151,97,132,156,148,148,167,168,168,169,170,170,170,170,171,171,170,171,171,170,169,168,166,165,164,164,160,177,156,101,136,159,151,150,169,171,171,171,172,173,173,173,173,173,172,173,174,173,172,171,169,168,167,165,165,182,149,136,139,160,155,153,172,173,173,174,174,175,176,176,176,176,176,176,176,176,174,174,173,172,171,170,171,178,163,154,100,162,157,155,174,176,176,177,177,178,178,178,177,178,178,178,178,178,177,177,176,175,172,169,150,143,169,154,85,148,165,158,177,177,178,179,180,179,179,180,180,180,179,180,181,181,181,179,177,178,178,180,171,144,129,141,103,94,169,161,179,179,180,181,182,182,182,183,183,182,183,183,183,183,183,182,180,171,157,169,183,161,135,108,111,82,126,171,182,182,183,184,184,184,185,184,184,185,185,185,184,185,182,180,185,164,134,109,126,171,170,141,94,90,96,172,184,184,185,185,185,186,187,186,186,186,187,187,185,186,169,136,150,182,158,119,53,123,167,115,83,77,103,174,185,185,186,187,187,187,188,188,188,188,188,188,186,185,176,154,122,172,179,140,78,57,81,118,105,76,111,179,186,187,187,188,188,189,189,188,189,189,189,189,188,178,178,178,146,137,185,148,107,66,66,147,142,82,116,181,188,188,189,190,190,190,189,190,191,190,191,190,188,165,142,171,157,105,152,159,110,72,89,144,156,92,111,181,189,189,190,191,192,191,192,192,192,192,193,190,188,175,126,123,144,82,107,162,110,78,98,140,148,89,108,182,189,190,192,192,193,193,193,194,194,193,194,193,181,166,143,112,127,103,91,155,150,103,101,142,116,77,124,185,190,192,193,192,193,194,194,195,195,194,194,192,186,190,170,125,119,124,97,138,168,122,92,126,99,72,157,183,192,193,193,194,194,195,195,195,195,196,196,195,185,193,177,148,126,119,116,160,158,105,89,113,92,86,181,179,193,194,195,195,195,196,196,195,196,197,198,199,186,190,186,160,135,129,142,190,182,146,117,111,84,111,190,178,193,195,196,196,196,197,197,198,198,199,200,200,189,178,181,167,147,139,145,185,182,161,131,110,76,140,190,179,192,193,194,195,195,195,195,197,198,199,199,200,193,175,179,172,165,150,146,180,175,149,119,99,79,170,187,182,193,193,194,195,195,195,195,197,198,199,199,199,199,177,169,176,172,153,137,166,157,135,110,80,101,190,180,181,194,193,194,196,197,198,198,198,199,199,200,199,201,190,162,169,164,151,131,144,144,121,99,68,145,192,180,181,195,195,195,196,197,198,198,198,198,199,199,199,199,199,176,167,158,145,131,131,144,121,85,92,187,185,183,181,193,195,197,199,200,202,202,202,203,204,204,204,205,200,183,169,156,151,143,130,140,117,74,140,195,183,184,186,132,134,138,141,145,149,153,157,160,163,166,170,175,174,178,173,158,163,148,134,135,108,75,160,189,182,178,146
4,191,192,191,192,191,190,189,188,188,186,186,184,184,183,184,183,176,176,175,174,174,174,172,172,169,165,165,163,193,192,193,193,193,191,191,192,191,192,191,190,186,182,168,169,186,178,176,175,175,174,172,174,170,166,165,163,195,195,194,195,194,194,192,192,189,166,152,168,185,177,133,92,126,191,180,178,184,176,174,172,171,169,166,166,198,198,196,194,194,196,194,196,194,178,166,135,123,131,156,129,80,134,144,108,120,175,176,174,173,172,169,166,198,198,197,196,196,197,195,188,190,182,179,173,138,86,87,137,121,73,69,93,47,119,189,173,174,172,171,169,200,198,197,198,199,198,184,170,169,151,98,99,148,85,35,104,116,75,35,83,67,65,184,175,174,172,170,168,200,200,200,200,200,199,196,197,175,153,100,47,115,90,35,72,95,52,44,99,85,46,164,181,173,173,171,170,201,202,201,202,200,202,170,140,122,164,114,56,88,119,83,70,83,33,57,104,80,46,164,181,174,173,171,170,203,203,202,202,201,205,184,117,49,116,158,99,98,132,150,123,91,85,81,95,108,66,165,182,176,174,173,171,203,204,203,204,202,205,182,121,37,16,154,124,81,103,135,140,91,100,99,93,117,55,116,193,176,176,174,173,205,206,206,205,203,202,152,97,75,64,56,79,57,49,55,106,100,91,90,89,83,61,65,187,178,176,175,175,207,207,207,206,203,199,170,155,122,84,43,34,56,48,45,49,85,92,79,70,85,87,41,161,185,178,175,174,207,207,206,206,206,201,177,158,115,73,42,46,51,57,78,59,40,31,74,109,122,101,43,114,194,176,175,173,207,208,209,207,207,202,188,145,98,62,42,43,57,83,84,82,74,80,107,141,129,108,71,70,191,177,177,174,208,209,210,210,205,205,176,135,100,61,43,55,70,86,101,99,125,158,144,114,158,141,100,46,168,184,179,177,209,210,210,210,206,205,188,159,119,76,53,59,68,103,121,124,141,160,172,153,142,141,101,34,146,190,178,177,210,211,211,211,210,203,187,161,126,83,50,54,82,109,126,145,152,169,166,154,134,104,81,29,154,189,178,177,211,211,210,211,212,199,185,172,142,101,65,59,68,108,137,154,168,176,162,137,121,91,45,55,189,183,180,178,211,211,210,211,211,194,177,179,153,117,86,63,59,113,153,167,182,177,156,126,106,78,20,124,195,181,181,179,211,211,210,211,211,193,171,175,155,122,96,74,65,113,165,172,178,165,141,115,93,56,41,187,186,184,182,181,211,211,212,212,213,192,168,164,153,131,103,82,77,118,173,165,161,150,125,100,83,30,110,202,184,185,181,179,211,212,214,213,216,194,164,162,162,141,108,98,87,124,165,158,151,133,109,89,63,34,177,193,187,184,182,180,212,213,214,213,214,203,169,166,165,146,117,108,86,128,155,151,144,118,90,76,25,95,206,189,190,185,184,182,213,215,214,214,215,214,180,171,174,153,127,107,84,118,150,141,129,101,76,49,32,182,196,191,191,185,184,183,214,215,214,214,215,214,187,184,175,150,133,113,88,101,132,122,103,77,60,15,134,207,192,191,189,188,184,182,215,215,215,215,216,211,197,189,170,152,136,117,96,94,110,102,79,63,19,81,207,194,193,190,189,188,185,183,215,215,215,215,217,212,198,188,166,149,133,117,107,94,94,92,70,41,27,187,200,194,193,191,188,188,186,184,215,215,215,215,217,205,196,182,168,156,149,137,127,104,87,84,62,19,104,212,196,198,193,191,190,188,185,183
8,161,161,161,161,162,160,166,134,105,164,160,161,161,160,159,157,157,156,154,153,152,151,150,149,147,146,145,143,162,162,162,162,162,162,160,110,62,162,162,162,162,163,162,160,160,158,157,156,155,154,153,151,149,148,147,145,164,163,163,164,164,166,150,83,74,173,164,164,164,164,163,163,161,161,160,158,157,156,155,153,152,150,149,148,167,166,166,167,167,163,138,54,112,178,164,166,167,167,166,164,163,163,163,161,159,159,157,155,155,153,152,150,167,168,167,168,168,163,118,40,155,172,167,167,167,168,167,165,166,166,163,162,161,160,160,158,157,155,154,151,169,169,169,169,169,163,113,49,166,171,170,173,175,169,168,167,166,167,166,164,163,162,161,161,160,157,156,154,171,170,169,170,171,161,102,55,173,173,171,147,133,175,173,171,173,168,168,165,161,165,162,162,162,159,158,156,172,172,172,173,173,154,93,49,171,175,158,126,75,107,133,95,141,176,167,170,120,146,168,163,163,161,160,158,173,174,174,174,174,158,131,62,148,176,155,145,111,52,88,82,63,138,104,121,127,92,179,164,164,163,161,160,173,174,174,175,176,161,149,86,125,174,153,161,123,66,62,88,67,121,93,63,130,91,121,180,165,164,162,161,175,175,176,175,176,167,143,110,113,142,148,165,130,71,48,67,99,127,82,47,112,123,62,124,171,166,163,162,176,178,177,176,177,171,153,144,124,123,106,148,131,83,42,41,109,115,67,33,80,140,102,54,126,176,163,163,178,179,178,178,179,171,167,138,111,102,100,116,140,86,34,37,114,100,60,16,77,153,112,42,118,179,164,163,179,180,181,179,180,173,154,113,85,68,69,84,155,119,56,43,115,85,38,0,120,154,85,45,166,169,166,165,180,181,181,180,181,170,157,132,102,63,50,34,138,168,96,47,116,74,15,43,132,132,49,104,183,167,168,167,181,182,181,181,182,164,159,145,104,56,52,46,128,156,98,55,92,80,92,100,135,90,42,163,175,170,169,168,182,181,182,182,181,159,164,146,100,68,48,65,156,112,42,70,99,111,117,81,99,49,70,187,170,173,170,167,182,182,183,183,181,163,165,139,111,75,56,78,137,126,123,147,140,118,107,61,58,20,133,184,172,173,171,169,182,183,183,183,180,165,162,146,114,70,67,118,163,163,174,160,133,113,90,49,14,90,185,174,175,173,173,171,183,181,182,183,180,156,162,154,113,75,88,150,169,169,169,147,123,100,73,16,75,187,178,177,176,174,173,172,181,181,183,184,181,158,155,150,122,84,107,158,164,177,162,133,110,88,31,59,184,179,176,176,174,174,172,170,183,183,184,184,184,164,156,148,124,85,114,152,149,155,137,115,95,46,44,174,180,175,175,175,175,174,171,169,184,184,183,185,184,164,158,151,120,96,113,148,136,132,105,88,49,30,162,186,176,178,176,176,175,174,172,169,183,183,183,184,181,165,155,141,125,112,111,143,129,114,90,46,21,149,191,179,182,181,177,175,173,173,171,173,183,182,182,184,176,162,151,145,142,122,111,132,117,91,58,21,141,191,180,183,181,179,176,176,177,179,183,159,188,190,191,193,167,159,155,154,140,121,122,130,101,63,19,125,201,181,185,184,182,187,188,179,165,148,108,56,114,120,124,127,140,167,164,157,138,122,124,114,80,36,48,170,169,172,172,173,174,150,107,73,45,31,15,15,68,69,70,64,129,174,162,146,130,125,106,94,67,28,45,76,80,85,85,85,70,40,15,15,10,8,15,9
8,222,222,222,222,223,221,228,190,156,225,221,222,222,220,219,217,217,216,214,213,212,210,209,208,206,205,203,201,224,223,223,223,223,223,221,163,107,223,224,223,223,224,223,221,221,219,217,217,215,214,213,210,208,207,206,204,226,224,225,226,226,228,209,131,120,237,225,226,226,225,225,224,222,222,221,219,218,216,215,213,211,209,208,207,229,228,228,229,229,224,195,97,165,243,226,228,229,229,228,226,224,225,224,222,220,219,217,216,215,213,212,210,230,230,229,230,231,225,171,81,215,235,229,229,229,230,230,227,228,228,225,224,222,221,221,219,217,215,214,211,231,231,231,232,232,225,166,92,228,234,233,236,238,232,231,229,228,230,228,226,224,224,223,222,221,218,216,213,234,233,232,233,233,222,153,99,236,236,234,206,190,239,236,234,236,230,230,227,222,227,223,224,223,220,218,216,235,235,235,236,236,214,142,90,234,239,219,181,122,159,189,145,198,240,230,232,174,204,231,224,225,223,221,219,237,237,238,237,237,218,187,106,207,240,215,204,164,94,136,129,107,196,156,176,183,142,243,226,226,225,223,221,237,238,238,238,240,222,208,134,180,237,213,222,178,111,107,137,112,176,143,108,186,140,175,244,227,226,223,222,239,239,239,239,240,230,201,162,166,199,207,227,185,117,90,112,149,182,130,89,165,177,106,179,234,227,225,223,240,242,241,240,241,234,213,203,179,178,158,207,187,130,82,82,161,168,112,72,128,198,153,97,181,240,225,224,242,244,242,242,244,234,229,196,164,153,150,169,198,134,73,76,167,151,104,52,124,213,164,82,172,243,226,225,243,244,245,243,245,236,214,165,133,113,114,132,215,173,99,84,168,134,78,34,174,214,133,87,228,232,228,227,245,245,245,245,246,233,218,188,153,107,92,74,195,230,146,89,170,121,51,84,188,189,91,155,248,229,231,229,245,246,245,246,246,225,220,203,155,99,94,87,183,216,148,98,141,127,141,150,192,139,82,224,239,233,231,230,246,246,246,247,246,220,226,204,151,113,90,109,217,165,83,115,150,164,171,128,150,91,116,253,233,236,233,230,247,247,248,248,245,225,227,196,164,121,99,125,194,182,178,205,198,171,159,105,102,57,189,249,235,236,234,231,247,248,248,248,245,226,223,205,167,116,112,171,224,224,238,221,189,166,139,91,50,139,250,238,238,236,236,234,247,246,247,248,244,217,223,214,166,122,137,209,231,231,231,205,178,151,119,53,122,253,242,241,240,238,237,235,246,246,248,249,245,219,215,209,176,133,159,218,225,241,223,189,163,137,70,103,249,243,240,239,238,237,235,232,248,248,249,249,249,225,216,207,179,133,167,212,208,215,194,169,145,88,85,238,245,239,239,239,238,237,234,231,249,249,248,250,249,226,219,211,175,145,166,207,193,188,157,137,91,69,223,251,240,242,240,240,238,238,235,232,248,248,248,249,246,227,215,199,180,164,164,201,185,167,139,87,58,208,255,243,247,245,241,239,237,236,234,236,247,247,247,249,239,223,211,204,200,176,164,189,170,141,101,58,199,255,244,248,245,244,240,240,241,243,248,219,254,255,255,255,229,220,215,214,197,176,176,186,152,107,56,180,255,246,251,249,247,252,253,244,226,207,160,99,168,174,179,182,198,229,226,217,195,177,178,168,127,76,90,233,231,235,235,237,237,210,159,120,86,70,51,51,113,114,116,108,185,237,223,204,186,180,158,144,112,66,86,123,128,133,133,134,116,80,51,51,45,44,51,44
12,123,124,126,127,127,128,129,130,133,134,132,136,139,136,135,137,139,139,138,139,137,138,138,138,138,137,138,140,124,126,126,128,129,129,129,131,133,130,134,128,123,138,139,132,122,129,140,138,139,140,140,139,139,139,139,140,125,126,127,128,129,130,130,133,131,151,154,120,89,93,152,130,105,83,133,145,142,141,141,140,139,139,139,139,126,127,127,128,130,131,134,129,150,182,160,113,100,71,144,124,108,84,88,110,119,140,140,139,140,140,141,141,125,127,128,129,130,131,133,130,167,153,153,127,129,75,121,138,120,86,64,95,78,88,144,142,143,143,143,142,127,128,129,130,130,133,132,137,176,130,138,141,122,79,110,148,126,79,74,106,91,51,123,150,142,143,144,142,128,129,130,132,134,134,132,146,182,129,142,120,94,60,50,117,95,65,86,120,100,63,118,149,142,144,143,142,128,130,132,133,132,136,127,121,155,92,132,126,103,67,31,58,53,38,133,134,97,64,133,146,144,145,144,143,129,130,133,131,137,156,131,103,89,76,104,130,122,122,104,97,81,45,106,109,74,63,146,144,146,146,144,143,130,132,134,128,165,171,139,117,79,78,100,107,105,122,127,126,125,86,43,52,53,82,154,145,146,145,144,143,131,136,129,149,171,165,152,125,91,79,110,96,73,94,99,128,147,120,77,35,40,110,155,145,145,145,144,144,132,135,129,176,152,152,158,132,99,75,75,86,69,71,80,140,150,140,118,61,39,131,152,147,147,145,144,144,132,129,148,170,125,114,147,135,110,86,66,76,68,82,102,138,145,147,138,96,55,142,150,149,147,146,146,145,132,129,163,159,139,118,113,141,115,85,67,77,67,79,89,128,151,141,143,122,72,144,150,148,146,147,146,146,132,130,171,165,148,121,85,128,122,85,68,66,68,81,103,117,131,147,129,134,82,123,156,146,149,148,148,148,131,132,166,140,113,93,70,85,134,100,91,59,79,83,122,146,134,134,123,115,97,86,157,148,149,149,149,149,131,134,174,151,131,111,93,76,113,121,122,79,86,103,147,151,148,132,115,102,95,74,154,150,149,150,149,149,134,134,179,160,135,116,105,86,82,108,102,91,100,140,162,153,148,131,114,97,76,88,157,148,150,150,149,150,135,136,181,162,140,125,112,88,85,110,82,94,126,161,162,153,144,130,116,97,65,104,160,149,151,151,150,150,134,139,185,165,146,132,120,95,88,118,99,121,155,171,161,151,139,128,115,96,59,116,159,150,151,151,150,150,134,144,190,165,145,137,126,109,92,112,115,134,170,173,161,148,135,127,113,91,56,132,155,151,151,150,150,150,131,146,192,167,151,141,127,123,103,108,126,135,177,168,156,145,133,126,107,84,64,145,154,151,152,151,151,151,132,143,187,171,160,143,133,127,116,104,132,134,178,163,149,143,133,123,104,76,73,153,151,151,152,152,151,151,137,138,176,175,166,151,139,133,126,108,130,135,173,161,140,136,131,119,102,68,92,160,150,152,152,151,151,151,137,134,167,179,165,154,143,139,129,112,119,132,166,158,138,134,129,110,98,59,120,158,149,153,154,152,152,151,137,133,160,184,167,159,148,140,129,117,116,121,156,155,135,130,124,110,90,63,142,155,152,152,154,153,152,152,137,133,150,188,171,158,148,136,123,118,118,117,141,147,126,122,120,113,75,81,158,150,153,153,153,152,152,152,137,132,153,191,167,150,143,133,122,114,118,118,132,137,122,117,120,107,63,115,161,151,153,154,152,152,153,151
12,130,134,137,141,143,146,148,150,153,154,154,154,156,158,157,154,154,157,159,153,154,153,152,153,153,152,151,149,131,135,138,141,143,147,150,152,153,154,156,157,156,149,147,161,157,131,133,160,156,157,157,153,154,153,153,151,132,135,138,142,145,148,150,153,153,156,158,155,168,154,121,132,170,150,101,122,146,118,139,160,155,155,154,153,133,137,140,144,146,149,152,154,155,158,158,158,187,185,159,111,118,181,147,82,95,122,87,149,159,156,156,154,135,138,141,144,148,152,153,155,156,159,155,178,171,174,173,126,68,140,151,91,52,110,91,91,164,156,157,156,137,140,142,146,149,152,154,157,159,159,156,189,142,160,172,114,65,127,137,87,53,87,95,57,154,160,157,157,139,141,145,148,151,154,156,160,158,161,164,122,99,163,151,100,57,134,129,78,58,95,82,62,160,159,159,158,140,144,146,150,153,156,160,158,168,187,167,102,64,110,143,119,48,121,158,96,60,120,88,78,168,158,159,158,142,145,148,152,154,158,157,173,187,179,170,120,65,69,153,115,37,127,169,88,68,156,89,109,171,159,160,159,144,147,150,153,158,158,171,188,148,150,179,126,65,30,111,100,14,66,155,77,57,132,90,151,167,163,162,162,146,149,153,156,160,160,184,179,150,129,162,117,69,27,42,44,40,69,82,96,101,109,63,137,172,162,163,163,148,151,155,158,159,168,175,148,124,91,144,117,72,32,40,45,126,171,134,131,112,101,80,89,174,164,164,163,148,154,157,161,162,165,182,156,132,79,121,118,70,38,51,96,151,163,152,129,101,75,90,70,159,170,165,165,151,156,159,162,162,167,184,160,136,95,97,120,93,44,77,140,161,157,150,131,100,75,71,69,166,170,166,166,153,157,160,164,164,176,188,168,145,118,80,111,110,56,140,169,165,159,155,116,94,74,44,107,180,166,165,164,157,160,163,167,166,183,190,174,154,125,98,89,88,115,173,171,172,170,144,99,87,64,51,161,172,172,176,175,158,162,165,168,168,186,187,178,160,132,121,105,102,147,160,167,176,164,124,92,84,44,100,192,175,159,129,99,161,165,167,170,170,180,183,182,165,141,135,117,111,141,146,170,174,150,109,85,74,45,135,122,79,46,30,27,164,168,169,171,173,173,185,183,167,149,144,127,114,149,142,173,167,130,96,77,63,43,40,23,20,22,24,22,166,170,172,174,178,171,183,178,166,154,150,134,118,148,158,154,145,111,84,69,54,24,20,21,22,19,23,15,169,172,175,177,181,174,177,179,167,154,145,136,126,137,156,136,119,97,76,67,31,8,25,23,11,14,26,20,170,173,176,178,181,173,172,183,167,153,142,131,119,124,142,127,106,88,70,57,21,0,16,30,14,5,18,25,170,173,176,178,184,172,175,181,160,146,139,129,113,123,134,118,89,79,64,37,33,3,2,21,26,7,8,21,172,175,179,181,185,173,178,176,144,134,136,123,111,125,123,106,76,69,27,14,34,18,0,8,24,19,2,10,174,177,180,183,187,171,178,183,144,142,144,131,120,127,111,92,72,49,10,3,23,29,0,0,14,24,12,1,175,178,181,182,190,154,174,185,152,159,156,135,119,122,102,87,65,30,19,0,11,28,8,0,2,20,21,3,180,182,186,185,201,104,154,191,168,179,160,128,121,120,97,81,56,20,17,4,0,19,17,0,0,13,22,13,152,157,162,165,177,71,90,184,169,174,147,118,125,120,93,79,42,26,14,6,0,14,20,0,0,5,19,18
8,202,201,202,201,203,202,202,203,203,203,203,202,201,202,202,201,201,201,201,200,200,199,197,196,197,200,182,86,202,203,204,204,204,203,204,205,205,203,201,204,203,203,205,204,203,202,202,202,201,201,199,199,200,198,198,147,204,206,207,206,206,206,205,206,207,210,157,195,210,207,208,207,206,206,205,204,204,202,200,200,200,199,200,124,206,208,207,207,207,207,207,205,212,211,131,190,213,208,208,208,208,207,206,206,206,204,204,202,202,203,194,140,207,208,208,208,208,208,210,205,221,192,116,202,212,209,208,210,209,209,208,208,207,206,206,205,204,203,200,173,209,209,210,210,210,208,210,208,232,174,116,216,212,211,211,213,211,209,210,210,208,207,207,206,205,205,201,203,209,209,212,212,211,212,210,213,236,164,131,220,212,213,214,214,212,212,211,210,209,209,209,208,207,207,204,204,211,211,213,213,213,214,211,222,229,138,154,222,212,218,215,214,218,213,212,212,210,212,208,209,209,207,206,204,213,214,213,213,215,216,210,228,217,134,160,230,194,190,217,208,201,218,218,218,215,212,213,209,210,208,208,208,214,215,215,214,215,215,212,233,214,143,166,251,197,143,189,202,146,170,195,191,206,168,174,217,210,212,211,209,215,215,215,215,217,216,215,235,215,149,207,255,218,160,155,197,166,113,137,154,196,139,126,222,211,213,211,209,216,215,216,215,217,216,219,233,211,160,236,255,232,176,128,190,163,135,181,156,214,141,122,223,211,212,211,211,216,216,216,217,218,215,227,219,205,191,221,252,239,184,117,180,147,172,195,158,218,174,130,219,214,213,213,212,216,216,216,216,218,219,225,194,210,214,190,228,241,189,113,153,148,189,175,155,210,198,151,180,224,214,214,212,216,216,216,216,216,224,223,169,204,201,185,208,243,197,113,115,153,195,162,125,204,199,144,132,227,213,215,214,215,215,216,216,214,228,224,157,166,183,163,183,237,191,106,97,148,187,142,118,208,184,117,159,226,215,215,214,215,216,216,217,215,235,239,157,143,149,142,143,215,201,117,87,153,202,130,147,198,144,110,212,217,214,214,214,216,216,216,217,219,243,245,176,129,145,136,140,187,213,154,69,146,167,128,176,151,102,152,226,213,215,214,214,216,216,217,216,223,244,245,197,124,133,136,132,173,184,122,109,193,173,186,188,123,101,210,218,215,215,215,215,216,217,218,217,227,244,244,207,125,135,147,135,194,203,175,208,206,182,169,176,111,122,228,215,218,217,215,215,215,216,216,216,228,245,246,208,130,146,144,164,223,230,232,217,198,184,145,141,99,154,229,215,219,218,216,215,222,224,224,223,229,242,243,199,147,163,143,208,238,234,232,220,199,171,135,105,105,214,222,218,219,218,217,216,158,161,165,160,208,248,240,204,173,168,146,217,241,244,232,214,189,154,121,88,157,232,222,222,214,213,217,219,102,102,104,89,165,254,237,216,180,177,157,206,249,248,215,198,173,133,108,95,126,137,134,147,179,214,225,221,114,113,115,104,144,249,235,215,181,180,161,206,251,231,202,178,150,116,103,94,100,127,166,206,221,221,222,218,113,111,114,104,141,245,223,200,177,175,163,221,238,211,185,151,129,101,102,158,188,221,231,229,231,222,208,209,111,112,118,103,162,240,213,196,181,173,176,215,213,197,163,132,123,82,160,255,235,205,198,203,212,224,218,206,112,111,116,101,185,236,208,195,184,176,184,201,197,185,146,126,116,111,202,207,234,228,200,189,196,199,194,199
6,154,157,161,163,167,170,173,175,177,179,181,181,182,184,185,186,187,186,187,187,187,188,188,187,186,187,185,185,155,159,162,165,168,170,173,176,178,179,181,182,183,185,186,186,187,187,188,188,188,188,188,188,187,188,187,186,155,158,161,165,169,171,173,176,178,179,182,183,184,185,186,188,187,188,188,189,189,189,189,188,188,188,187,186,156,159,163,166,170,173,176,177,179,180,182,184,185,186,187,188,188,189,190,190,189,190,191,189,188,188,188,188,157,161,164,168,171,173,176,178,179,181,182,185,186,188,187,188,190,192,192,191,191,191,191,190,191,190,190,190,157,160,165,168,172,174,176,179,181,181,182,185,187,189,187,189,191,191,192,192,191,191,191,192,192,191,190,190,158,162,165,169,172,175,178,179,181,181,183,183,185,187,184,185,186,190,190,184,183,174,172,181,188,190,191,191,159,162,167,170,176,186,189,180,180,186,191,195,197,200,188,192,192,204,200,189,184,168,158,172,176,164,191,191,158,161,165,182,200,205,198,179,164,170,188,195,197,194,185,180,188,187,185,183,175,163,156,162,161,153,192,191,158,170,192,206,205,205,199,183,149,126,142,149,152,154,156,157,151,146,150,149,146,146,151,159,165,184,193,192,187,206,206,201,201,206,205,184,145,109,101,95,98,117,129,142,162,178,183,186,187,189,191,191,192,193,193,192,209,205,201,203,208,205,189,153,132,111,103,104,100,109,164,187,192,193,193,194,195,195,194,194,194,193,193,193,208,205,205,203,203,193,180,156,126,110,103,110,112,106,114,141,187,195,196,196,195,195,195,195,195,194,193,193,208,207,205,203,204,204,204,178,128,110,97,99,113,116,115,99,124,188,195,196,196,196,195,195,194,195,194,193,203,205,203,201,204,211,204,166,128,115,114,111,105,105,114,108,95,134,196,197,197,196,195,195,195,195,193,192,201,201,198,198,206,210,183,150,128,120,118,119,118,99,95,98,101,110,194,196,196,195,195,194,194,195,193,193,193,194,191,192,199,199,177,146,120,111,116,125,131,112,104,93,94,129,187,189,189,188,187,187,186,186,186,186,195,195,193,192,196,197,185,149,117,97,93,108,138,130,118,102,99,116,129,128,126,126,125,125,123,122,121,120,197,197,198,197,203,201,184,141,117,116,114,110,104,112,117,112,108,101,99,100,100,101,100,97,97,97,95,95,195,193,191,191,200,192,171,139,123,124,123,116,110,104,101,105,106,104,103,104,103,104,103,101,100,100,100,98,185,180,175,180,185,174,159,139,129,127,126,117,109,104,104,109,110,108,106,103,103,102,103,103,102,101,100,99,172,167,162,169,169,155,141,130,121,116,121,118,116,113,109,110,108,109,105,105,104,103,103,103,103,102,102,101,155,153,146,142,138,127,116,110,106,99,102,106,111,112,108,107,107,107,105,104,103,102,102,103,102,101,101,100,133,126,117,112,111,111,111,110,110,109,109,108,109,109,108,108,107,107,106,106,103,103,103,103,102,101,100,100,104,107,109,109,110,111,111,111,110,110,111,110,110,109,108,108,106,106,106,106,103,103,103,102,102,100,98,118,107,110,111,110,110,110,110,110,110,110,110,108,109,108,108,106,105,105,105,105,103,103,103,103,103,99,110,186,110,111,111,112,112,110,110,110,110,110,109,109,109,108,108,106,106,105,105,105,104,104,104,105,104,102,173,192,111,110,111,110,110,110,109,108,109,108,108,109,109,108,108,107,106,105,105,105,104,104,104,107,102,152,197,176
21,84,97,114,128,137,143,152,161,168,173,177,180,183,185,188,190,191,192,192,191,191,190,189,188,187,186,184,184,84,98,115,129,138,144,154,163,170,175,179,179,184,189,192,194,195,196,196,195,194,194,193,192,191,190,189,188,85,99,117,130,139,146,156,165,172,181,180,155,168,192,196,198,199,199,200,200,198,194,195,197,196,195,194,193,87,101,118,132,140,147,158,167,174,185,184,143,137,187,199,201,202,202,203,204,199,173,177,199,200,199,198,197,89,103,120,133,141,149,160,169,175,186,192,155,121,171,200,203,205,206,206,208,204,157,142,193,205,203,202,202,90,105,122,135,143,151,162,171,178,187,201,170,117,149,200,206,207,208,208,211,211,160,125,184,208,207,206,206,92,107,124,137,145,153,163,173,180,187,203,181,120,128,194,209,209,210,211,215,213,162,121,174,210,210,209,209,93,108,125,139,147,155,165,174,181,188,201,191,134,118,181,209,211,212,214,217,211,159,120,168,211,212,212,212,94,110,127,141,148,157,168,177,184,189,200,204,158,121,165,209,213,215,216,218,210,161,123,168,212,214,214,214,96,112,129,143,150,159,170,179,186,191,200,212,174,124,146,205,215,216,217,221,210,165,126,173,215,216,215,215,98,114,131,145,152,161,172,181,187,192,199,215,185,127,130,196,216,218,219,222,204,158,127,180,218,218,215,212,100,116,133,147,153,162,173,182,188,194,200,216,197,141,124,183,216,219,221,224,197,150,125,184,210,196,174,152,101,117,135,148,155,164,175,184,190,195,200,214,210,163,128,166,214,220,223,226,196,149,118,145,134,106,86,72,103,119,136,149,156,166,177,185,192,197,201,205,199,165,128,148,209,221,224,223,191,146,98,74,61,54,52,56,103,120,138,150,157,167,178,186,192,197,205,196,168,147,124,131,199,221,221,211,179,137,83,51,45,47,44,46,103,120,138,150,157,167,178,186,192,198,214,206,182,169,127,115,174,207,203,191,163,120,71,45,39,46,46,41,104,121,138,150,157,168,179,186,193,200,221,225,212,194,140,107,126,158,172,170,143,102,57,45,37,39,47,44,105,121,139,151,158,169,179,187,192,194,214,229,225,200,153,113,101,116,139,148,127,88,41,38,42,35,40,45,105,121,139,151,158,168,179,189,193,173,173,197,216,201,174,136,116,113,111,114,108,81,35,27,43,41,35,39,109,121,134,144,151,160,170,189,204,174,151,151,181,180,176,158,142,133,108,89,88,77,39,18,34,46,38,35,107,109,114,118,122,126,133,175,212,199,170,136,136,145,145,150,149,144,125,96,80,72,47,17,23,42,45,40,107,107,108,109,111,113,117,168,200,201,185,145,110,106,110,107,125,149,147,124,96,73,53,22,16,34,46,44,110,111,111,112,114,114,119,168,182,174,183,156,109,87,96,85,95,152,174,157,127,92,63,31,13,25,42,45,111,112,112,113,115,115,122,175,189,162,160,158,122,97,92,91,91,143,188,183,155,118,82,47,17,18,36,44,111,112,112,113,115,116,123,176,191,158,129,135,136,126,105,104,111,146,174,195,176,137,102,68,27,13,29,42,111,112,112,112,114,116,120,167,189,152,118,114,129,140,123,125,139,165,174,192,185,148,114,84,39,12,19,35,111,111,112,113,114,115,116,152,186,160,136,120,118,133,140,153,170,188,200,192,172,135,116,90,47,18,13,25,110,111,111,113,113,114,115,143,190,176,150,127,123,136,154,173,196,205,207,187,155,115,109,88,50,26,11,16
4,119,123,128,131,134,136,139,140,142,144,143,145,147,149,150,149,148,148,149,147,147,148,146,146,146,145,145,145,120,124,129,133,134,135,137,141,143,144,145,147,148,148,149,151,152,147,152,152,149,148,147,147,147,147,147,146,121,126,130,133,135,136,139,142,143,146,146,148,147,159,156,132,137,164,142,137,153,151,149,150,149,148,146,146,123,129,131,134,137,139,141,143,145,143,153,145,152,190,152,129,113,182,139,103,124,156,153,152,151,150,147,147,125,129,131,135,137,140,142,145,142,168,197,162,132,192,162,125,138,187,144,97,88,152,117,148,154,150,149,149,127,130,133,137,139,141,144,146,141,195,214,191,110,153,182,112,152,194,141,86,148,143,81,90,157,148,148,149,126,131,137,137,142,143,145,144,157,199,200,177,101,137,184,109,152,179,127,137,166,107,78,50,136,155,149,150,128,133,137,139,143,144,147,140,180,183,180,165,86,116,156,158,154,163,188,205,148,76,60,49,134,157,151,152,129,132,137,141,143,145,148,141,194,175,163,166,85,88,142,154,178,191,202,185,156,103,53,46,146,156,153,154,128,133,139,142,144,148,145,161,207,173,140,162,91,65,138,83,120,161,168,152,167,123,64,56,155,156,154,154,129,134,138,141,143,149,142,188,193,145,129,112,64,70,143,62,99,148,118,153,177,138,74,83,164,156,155,155,131,135,139,144,145,147,148,207,179,132,112,107,80,84,104,70,93,143,54,161,198,155,92,84,166,156,157,155,133,136,140,144,146,146,155,218,180,132,104,90,75,87,82,94,100,120,101,159,209,171,113,59,144,162,157,157,133,137,141,144,149,145,168,224,179,133,100,84,79,92,91,134,132,158,187,170,185,164,117,66,103,169,156,159,132,137,142,144,150,145,182,225,179,125,101,98,88,81,95,141,156,189,179,181,148,135,127,80,95,169,158,160,132,138,143,146,151,144,192,222,178,123,122,119,90,87,134,180,194,187,178,163,129,102,114,72,122,169,161,160,132,137,140,144,149,143,198,219,176,143,156,128,110,161,199,210,192,186,171,141,113,89,78,74,156,161,160,160,132,137,141,143,149,145,203,219,191,177,173,131,138,202,207,217,196,170,153,127,105,83,58,119,169,159,160,160,133,137,142,145,150,146,201,222,206,182,170,149,143,206,210,211,187,146,136,116,101,70,76,163,162,162,162,162,133,138,142,145,151,145,193,224,209,186,165,153,155,210,207,191,168,134,118,108,89,58,128,171,163,162,162,162,134,140,142,147,152,145,181,222,198,185,166,154,161,193,187,165,145,122,115,103,65,82,169,165,166,163,163,162,135,139,143,146,151,146,180,212,183,177,175,159,158,173,170,151,126,114,113,87,57,142,171,163,164,164,162,161,133,137,143,145,152,147,175,200,170,175,177,154,147,172,168,147,115,102,101,66,106,173,164,164,162,163,162,160,134,140,146,148,153,151,170,196,171,174,168,150,137,169,170,131,96,91,82,88,167,171,170,170,169,168,168,166,105,107,108,108,111,105,133,208,183,181,163,154,132,159,161,112,86,85,69,89,113,107,107,107,105,105,105,108,66,63,62,63,66,57,88,218,199,188,172,164,133,148,160,111,82,72,67,58,56,55,55,53,53,54,52,48,75,74,73,75,77,75,83,209,207,185,172,168,132,130,165,117,78,66,63,67,68,67,65,64,65,63,60,134,75,75,75,76,76,75,71,195,207,179,162,164,134,118,156,113,74,64,61,67,69,68,65,65,68,54,139,204
15,88,91,95,98,101,106,117,129,138,144,148,151,156,161,165,167,171,173,175,177,178,181,182,182,182,183,184,183,89,92,94,99,102,107,118,130,138,146,149,151,156,161,165,168,172,174,177,179,181,181,183,184,183,185,187,186,90,91,94,99,104,110,122,132,140,148,152,153,158,164,167,172,174,177,178,181,182,184,185,186,187,187,187,187,90,92,95,101,98,105,120,132,141,148,152,154,160,166,169,173,177,178,180,183,185,187,187,188,190,188,189,189,90,92,96,98,131,140,139,138,146,154,153,156,161,167,172,175,176,179,182,185,186,188,188,191,193,192,192,193,90,96,87,140,213,158,150,144,161,171,154,149,151,161,163,173,183,183,185,186,187,190,192,193,194,194,194,194,91,96,87,139,181,118,118,117,154,152,133,133,172,173,148,136,147,170,180,191,194,190,193,195,196,195,196,196,92,93,95,99,114,106,109,104,137,130,111,123,177,176,155,119,135,145,153,150,174,201,193,197,197,197,198,197,92,93,97,101,102,113,123,131,138,134,124,127,165,170,131,123,178,161,159,148,113,165,206,196,200,199,200,199,92,95,97,101,105,114,128,141,151,158,158,158,151,128,107,200,173,173,138,174,150,99,177,206,199,201,202,201,94,94,97,101,103,115,129,140,150,155,164,196,139,108,115,175,167,135,135,174,155,137,93,194,204,201,202,202,91,94,96,101,103,115,129,141,152,154,184,207,168,106,83,86,124,106,158,141,146,156,95,113,213,202,204,204,93,95,97,100,104,116,131,142,152,156,173,210,196,150,128,108,94,110,176,137,146,120,115,73,157,218,203,206,92,94,97,100,104,116,132,142,152,158,186,183,190,175,190,168,111,109,108,116,116,88,78,82,78,193,212,206,92,95,97,101,105,117,130,144,149,175,202,167,165,151,186,160,93,94,98,92,103,86,67,76,64,91,208,210,94,95,98,101,104,117,132,144,152,172,169,131,136,142,166,124,89,96,94,97,106,96,75,74,74,54,130,221,93,94,96,101,105,118,132,143,154,164,179,140,137,109,96,87,78,84,86,88,92,88,88,84,73,70,69,197,94,95,96,101,105,119,134,145,152,171,194,193,165,120,98,120,107,62,89,101,98,94,101,98,80,74,61,130,93,95,98,100,105,119,133,145,155,163,173,192,174,141,133,125,131,68,92,122,115,115,121,111,83,68,73,69,94,94,97,100,105,120,133,145,157,162,168,168,151,126,90,86,123,146,87,121,135,132,123,103,74,71,76,73,94,93,96,99,105,119,134,147,156,162,163,167,148,121,89,71,105,137,96,96,143,140,113,88,72,76,79,77,93,93,96,98,105,119,135,147,157,162,164,171,180,186,187,166,131,157,159,127,123,119,94,83,79,83,83,78,90,91,95,96,103,119,133,146,156,162,163,169,175,179,190,188,103,124,140,152,111,113,100,74,59,58,59,62,88,90,94,94,102,119,133,146,157,161,163,169,176,181,194,162,79,76,54,58,68,70,57,41,33,30,27,21,89,89,93,94,100,117,131,145,156,161,163,170,177,181,197,137,81,84,81,32,36,49,42,36,34,31,24,16,87,89,91,94,99,116,133,145,156,163,165,171,178,183,193,114,79,76,77,68,10,38,44,37,34,31,25,16,85,86,90,91,99,115,131,145,155,162,165,170,176,187,176,85,77,75,69,77,16,13,36,33,24,23,22,13,82,83,87,89,98,114,128,142,153,160,162,169,175,191,143,77,82,71,68,80,19,6,24,26,19,25,27,9
11,175,179,182,186,188,191,193,194,195,196,196,195,195,195,195,196,195,194,194,192,191,190,189,187,184,182,181,179,177,180,185,188,189,193,195,196,197,197,197,198,197,199,199,196,196,195,195,194,193,191,189,188,187,185,183,184,180,184,187,189,192,195,197,199,201,200,200,200,206,174,189,202,197,197,196,195,193,194,192,190,189,186,188,161,183,187,190,193,195,198,199,202,203,204,205,196,231,165,149,211,199,200,199,196,196,197,194,192,190,190,189,92,187,191,192,196,199,202,203,205,206,206,207,199,241,175,132,214,201,203,203,200,199,198,196,194,191,199,150,60,189,195,196,199,203,205,205,208,209,210,209,202,252,164,129,217,204,205,204,203,202,201,198,196,194,201,111,65,192,195,198,204,206,209,209,211,213,217,208,217,255,151,144,220,207,208,207,205,203,202,201,200,201,196,93,72,195,200,204,206,209,211,212,212,214,205,224,211,247,147,161,225,210,212,211,208,208,206,204,205,203,204,122,85,197,203,206,208,211,215,209,240,227,137,203,175,121,174,130,200,221,214,214,212,211,208,209,207,203,213,150,86,201,204,208,210,216,211,238,255,238,187,118,152,108,134,113,167,229,215,216,215,214,210,212,212,208,213,178,83,202,207,211,214,214,231,255,217,223,222,135,121,116,147,124,174,230,218,218,217,217,216,215,212,212,211,210,109,205,210,213,214,222,255,249,170,165,217,133,111,108,149,125,179,233,221,221,220,220,220,216,215,215,211,215,162,207,211,215,211,255,255,206,161,183,198,97,117,108,140,119,192,234,225,225,224,222,221,219,219,216,214,216,188,209,213,218,214,255,255,188,131,158,164,91,120,103,133,109,213,233,227,226,226,225,222,221,219,219,216,219,179,211,215,220,214,255,255,210,153,102,106,121,98,111,130,122,235,229,230,227,226,229,227,225,225,222,218,220,206,212,216,220,221,255,255,200,139,95,77,135,89,143,136,94,217,241,231,235,235,226,217,210,208,221,227,220,218,213,217,220,229,255,255,198,147,108,86,100,83,143,126,73,121,227,229,212,185,171,161,157,143,132,190,227,218,217,222,220,237,255,254,202,160,119,99,102,103,124,126,123,121,131,149,152,170,178,158,130,126,104,152,233,220,218,223,223,237,255,249,202,163,127,104,108,152,181,182,168,155,135,143,163,158,134,118,151,203,215,219,226,223,220,225,225,240,255,253,211,171,135,110,121,178,178,166,158,154,137,125,118,130,174,205,237,239,235,230,226,225,222,227,226,247,255,255,222,174,148,122,137,172,170,160,143,138,111,103,166,233,244,242,235,233,232,230,227,225,223,231,223,255,255,255,220,172,150,129,138,153,158,148,127,106,134,214,250,243,237,237,237,235,235,232,229,227,226,227,231,255,255,242,200,159,138,129,139,137,145,137,102,166,247,249,242,243,241,240,239,236,236,235,231,229,227,227,255,255,255,227,185,151,133,133,137,127,120,109,180,255,246,244,244,245,243,241,240,238,237,236,234,231,221,241,255,255,244,218,181,156,140,132,129,107,144,223,255,248,247,246,245,244,243,242,241,240,237,236,234,232,220,255,255,255,215,181,171,154,136,125,100,135,250,255,250,250,249,248,247,247,245,243,243,242,240,238,236,233,225,255,255,255,190,155,149,141,123,108,114,233,255,250,253,252,250,249,247,247,246,244,243,241,241,239,236,234,242,255,255,241,165,148,141,131,113,97,197,255,255,255,254,254,251,251,249,248,247,246,245,243,241,240,238,236
21,138,140,143,144,145,144,144,146,147,147,147,152,149,149,149,148,148,147,147,149,147,146,145,145,144,142,142,141,142,144,148,148,149,148,149,150,151,152,148,126,152,152,152,152,151,151,152,152,152,150,149,148,146,145,145,144,146,148,151,152,153,154,153,153,154,155,163,87,128,163,154,157,156,155,154,154,153,153,152,151,151,150,149,148,150,151,153,154,156,156,157,158,158,158,169,93,107,170,158,160,161,161,157,158,156,156,155,153,153,153,151,150,153,155,157,158,159,159,160,162,161,162,171,94,89,171,162,152,119,151,166,161,161,159,159,158,157,157,155,152,157,158,161,162,164,165,165,166,165,164,177,115,83,168,166,151,94,102,176,163,164,162,161,161,161,160,158,157,160,163,165,166,167,167,168,167,170,165,186,154,84,157,175,148,100,86,173,169,167,167,165,164,163,162,160,158,163,165,167,168,169,169,170,171,173,168,188,162,83,139,181,147,103,81,165,176,171,169,168,167,166,165,164,162,166,168,171,171,171,173,174,174,174,169,192,176,100,124,185,156,129,89,160,178,173,173,172,171,169,168,167,165,169,171,172,173,174,175,176,175,175,175,165,159,132,111,188,153,127,89,156,181,175,175,173,173,172,171,169,168,172,175,173,174,176,176,177,178,177,183,160,114,110,104,184,149,139,88,155,187,177,176,175,174,174,174,173,170,173,174,175,177,178,179,179,181,178,197,187,136,67,78,183,157,158,104,158,188,180,179,179,178,177,175,175,174,174,177,178,179,181,181,182,182,182,197,196,138,98,133,135,123,136,112,118,191,181,182,181,180,179,178,177,175,177,179,181,181,181,184,185,183,177,161,179,143,88,116,103,119,111,114,95,164,190,183,183,182,181,180,179,177,179,181,183,185,185,187,186,188,169,101,130,164,73,33,87,105,76,153,118,122,196,184,186,184,183,181,181,179,181,183,185,187,187,188,186,191,181,127,80,168,112,47,62,48,119,188,153,99,176,190,186,186,185,184,183,181,182,185,185,186,187,187,192,180,175,161,79,150,141,50,73,138,122,173,166,99,121,200,185,187,186,185,185,184,184,186,186,187,189,190,192,198,161,154,92,69,78,36,72,174,165,151,126,88,79,187,190,187,186,185,185,185,185,186,187,189,191,191,190,185,142,140,93,56,44,58,118,178,180,149,98,76,79,185,193,189,188,187,186,186,186,188,188,192,194,194,190,184,177,124,117,95,62,107,173,189,171,143,100,67,102,202,191,192,190,188,187,187,187,189,190,192,193,195,190,196,166,144,130,115,75,142,196,185,174,140,97,56,147,206,192,193,191,190,189,188,188,190,192,193,193,196,194,196,180,158,117,164,148,190,201,193,174,121,83,62,183,200,195,194,192,193,191,189,189,191,192,194,194,196,196,192,191,146,143,162,174,205,212,202,157,105,64,90,205,195,196,195,195,193,192,191,190,192,193,194,196,196,197,179,182,163,159,143,168,195,205,185,133,96,57,131,212,198,197,196,196,194,194,191,190,191,192,194,195,195,198,176,175,170,162,144,161,180,177,151,106,79,62,181,205,199,199,198,196,195,196,197,187,191,192,193,194,194,200,189,165,163,157,155,144,149,155,120,83,55,120,211,199,200,199,199,197,194,193,182,189,191,193,194,195,195,197,200,166,161,155,160,136,134,142,105,68,64,189,202,201,199,199,198,198,196,194,115,190,192,194,194,196,197,197,202,174,155,142,143,127,123,129,99,52,96,208,199,201,201,201,197,202,165,129,87
2,171,170,170,171,171,170,170,169,168,167,166,166,165,163,163,161,160,159,159,156,157,157,155,154,153,153,151,148,172,172,172,172,173,172,172,171,170,170,168,167,166,165,164,165,164,162,161,163,160,158,157,156,155,153,152,151,175,175,176,175,175,174,172,172,172,171,170,169,169,169,167,163,156,149,118,134,159,160,161,157,157,154,154,153,177,177,177,177,176,176,175,174,174,174,172,171,166,161,157,149,131,110,78,66,118,131,125,162,158,157,155,153,178,178,178,178,178,178,177,176,176,175,175,170,157,154,150,121,88,69,57,65,93,104,75,150,161,158,158,156,180,180,180,180,179,179,178,178,178,178,175,162,161,145,110,64,53,53,49,51,62,69,55,88,167,160,159,158,182,182,182,181,181,181,180,180,179,179,169,166,149,96,61,48,42,50,48,41,46,53,48,108,170,161,160,159,183,183,183,184,184,184,182,181,181,176,168,164,118,59,55,48,49,44,47,68,67,72,99,162,167,163,163,161,186,185,186,185,185,185,184,183,183,172,170,149,89,55,54,50,48,68,123,168,162,165,173,169,167,165,164,162,188,187,188,188,187,186,185,186,179,170,164,117,62,48,55,47,121,176,179,174,175,173,170,170,169,167,165,164,188,188,188,189,189,188,189,183,168,178,159,103,68,55,52,64,179,179,174,174,175,174,172,172,169,169,167,165,190,189,190,189,189,189,191,168,175,183,150,102,77,61,41,129,186,176,177,177,177,175,173,173,171,170,169,167,190,190,192,191,190,192,184,165,185,173,141,103,73,53,79,186,181,181,181,180,178,177,174,175,172,171,169,169,191,191,193,193,192,194,171,169,191,165,127,91,65,47,110,195,180,183,183,181,179,177,176,175,173,172,171,170,193,193,193,193,194,190,162,183,190,151,120,90,65,46,137,195,182,183,183,181,180,178,175,177,178,175,171,171,195,194,194,193,198,176,170,195,179,134,116,88,60,53,178,189,185,185,184,183,180,181,181,174,161,162,177,171,195,195,195,196,195,166,188,192,159,129,123,85,59,48,141,198,187,185,183,182,188,175,142,122,115,106,129,174,195,195,195,199,181,174,194,176,142,139,119,79,53,56,65,113,185,189,189,186,153,107,101,113,114,91,103,174,197,197,197,197,173,184,186,165,141,136,109,70,50,59,72,62,111,192,160,123,95,93,116,113,85,121,174,175,198,197,200,188,176,183,179,157,139,129,93,60,55,71,74,75,73,90,86,92,105,106,98,75,134,183,178,174,200,199,199,179,181,181,171,147,134,115,83,57,70,82,81,80,80,70,87,97,92,80,70,135,188,178,177,177,200,202,190,182,184,178,163,143,122,106,79,63,82,82,80,80,77,73,77,72,85,130,168,187,181,182,180,178,201,196,184,187,185,176,161,130,107,104,75,70,81,79,76,75,67,52,67,127,177,195,187,182,183,182,181,179,202,184,184,176,179,172,145,116,102,91,66,72,78,79,74,56,70,110,167,197,190,187,186,186,185,183,182,180,190,178,169,173,169,155,125,94,82,69,67,71,71,64,48,89,177,201,195,189,190,189,189,187,184,183,182,181,181,176,160,167,157,145,113,83,76,69,60,49,52,69,130,197,197,193,192,191,191,190,189,188,187,183,183,182,182,169,162,168,162,149,100,81,76,61,80,126,158,190,206,196,194,195,193,192,191,190,189,188,187,185,183,182,178,166,161,167,160,140,88,79,67,85,187,209,205,198,194,195,195,193,193,193,190,189,188,188,186,185,183,181
15,72,83,91,99,105,106,110,116,121,125,129,133,137,140,143,147,149,151,154,155,156,157,158,160,160,161,163,162,74,85,93,100,107,109,111,117,123,127,131,135,137,141,145,149,152,155,156,156,157,160,159,161,162,163,165,164,76,86,95,103,110,112,113,119,126,129,132,136,140,143,146,150,153,155,156,158,159,160,161,161,162,163,165,166,77,88,96,104,109,111,113,121,127,130,135,139,142,146,149,151,154,157,158,159,161,163,164,163,164,166,166,167,78,89,98,105,110,110,115,123,128,132,137,140,142,147,149,153,156,159,160,161,163,164,166,165,167,169,168,169,79,90,100,107,112,113,118,124,130,135,138,141,144,148,151,155,156,160,161,162,163,165,167,168,169,170,170,171,80,91,101,108,110,115,119,125,131,136,139,143,147,151,153,155,158,161,162,164,166,168,169,171,171,171,171,172,81,92,101,112,168,146,131,129,131,138,141,146,149,154,155,158,162,163,165,167,168,169,171,172,172,172,172,174,82,95,99,126,194,155,143,141,135,145,144,143,141,146,155,162,163,165,167,168,168,170,171,173,174,175,175,176,84,95,104,112,143,142,134,128,128,150,148,144,137,123,136,146,152,160,166,168,172,176,175,175,177,177,178,177,85,96,106,114,117,120,118,111,117,133,135,137,135,137,144,136,139,145,155,156,147,157,174,180,176,178,179,179,88,98,108,115,120,123,126,133,134,136,132,124,122,133,138,132,128,125,147,157,147,133,123,160,187,178,180,182,89,100,109,115,121,123,128,135,141,146,149,147,143,140,132,122,113,123,145,155,163,132,124,110,152,188,181,184,89,100,110,117,123,125,130,136,141,147,151,155,159,161,160,152,143,156,154,148,155,148,134,140,108,143,190,182,91,102,112,118,125,127,130,136,142,147,152,156,159,165,163,174,201,178,147,108,153,153,131,153,134,98,148,196,92,102,113,120,125,126,130,137,143,148,154,157,179,152,130,146,176,170,130,75,146,153,135,152,150,127,89,150,93,105,114,121,126,127,132,139,145,150,153,164,185,149,118,152,194,181,128,106,130,140,148,148,141,126,101,85,95,106,114,123,128,129,133,140,146,152,156,164,163,127,121,161,195,175,122,116,118,116,132,137,116,116,108,94,95,107,117,125,128,130,135,141,147,154,158,159,169,168,132,154,180,152,127,127,129,126,131,134,106,99,107,104,96,107,117,125,126,129,135,142,148,154,158,159,173,217,178,101,85,87,103,132,140,136,143,139,114,106,107,105,96,108,119,125,128,131,137,144,149,154,161,163,166,215,191,120,41,15,7,29,87,136,137,134,121,122,111,97,97,108,120,127,128,130,138,144,150,156,162,164,165,215,189,114,61,53,27,0,2,98,125,117,107,91,72,55,98,109,120,127,129,131,138,146,151,157,162,166,164,209,189,91,97,99,84,50,24,33,73,61,47,32,28,20,99,110,120,127,128,130,139,147,153,158,162,168,164,202,201,102,133,129,117,112,80,41,34,31,29,24,26,24,98,110,121,127,130,133,139,146,153,157,162,168,165,192,216,111,124,141,125,101,59,37,35,33,34,27,27,24,98,110,121,127,128,131,138,146,152,157,161,165,167,176,217,118,121,192,164,87,46,31,34,34,33,27,27,25,99,111,121,127,128,132,139,148,153,158,162,167,168,178,199,95,139,199,175,78,37,31,33,33,31,27,29,28,101,112,121,128,130,134,141,148,153,159,163,168,169,180,152,121,185,186,187,82,48,39,38,30,28,29,30,30
23,177,183,186,191,194,195,198,201,204,204,206,207,207,207,210,209,208,208,207,207,207,206,204,205,204,202,201,200,178,184,188,193,196,198,200,203,205,207,208,209,209,210,211,214,211,211,212,211,211,208,208,208,206,205,204,204,180,185,191,195,198,200,202,205,206,209,212,213,213,213,214,214,213,211,214,220,215,210,210,211,211,208,206,205,182,188,193,197,200,203,204,208,210,211,212,215,216,215,214,217,222,208,178,182,212,216,214,213,213,212,209,208,185,191,196,200,203,205,207,209,211,214,215,217,218,217,226,227,228,210,203,167,190,205,214,217,215,213,212,211,188,192,198,202,205,206,211,212,213,217,218,220,220,246,223,218,248,174,182,194,190,131,183,225,215,215,214,212,189,196,200,205,206,209,213,215,217,218,222,218,240,242,201,165,173,102,148,155,129,142,214,222,219,218,217,216,193,199,203,206,209,212,215,217,219,220,224,221,254,229,218,100,144,200,229,224,213,227,225,223,222,221,219,220,194,199,205,207,211,214,215,220,221,224,225,231,255,231,229,124,178,246,224,230,231,224,226,225,223,223,222,221,196,200,205,209,213,215,218,221,224,225,222,235,247,229,226,186,209,226,207,162,207,231,227,227,226,225,224,224,196,202,209,212,215,219,222,223,225,237,232,219,217,220,239,238,241,234,208,112,143,247,227,229,228,226,225,225,198,205,210,214,218,220,223,223,230,255,237,212,196,203,215,203,199,189,172,116,130,249,228,232,232,231,229,226,200,205,211,216,219,222,225,223,238,255,239,204,168,176,227,234,224,206,180,117,112,245,231,234,234,232,231,230,201,206,212,216,220,223,227,225,251,255,242,204,177,174,189,194,202,218,193,117,90,241,237,235,234,233,232,231,201,208,214,218,221,225,227,230,255,255,246,221,220,223,201,167,150,161,151,101,85,235,241,236,238,235,233,232,203,210,216,220,223,227,226,239,255,255,243,221,220,203,220,200,174,157,115,90,76,129,221,251,238,239,235,234,206,211,217,222,224,229,231,255,255,255,247,211,197,161,197,220,181,145,101,80,92,136,128,212,250,239,239,237,205,212,218,223,226,224,243,255,255,255,223,153,140,135,127,170,199,145,85,77,91,127,86,72,229,246,239,239,207,214,219,223,227,227,255,255,255,234,208,167,117,89,77,202,232,126,85,69,88,103,83,55,163,255,238,241,208,214,220,226,223,255,255,255,252,219,205,172,121,86,158,212,185,106,72,79,98,102,81,66,190,253,240,241,209,215,221,223,235,255,255,255,235,218,204,158,112,90,140,141,120,83,60,92,112,98,81,179,254,245,243,242,211,216,223,219,255,255,255,255,233,218,190,153,106,63,68,72,89,84,77,95,94,109,211,255,247,247,247,244,211,218,222,234,255,255,255,245,222,205,180,136,99,72,90,101,110,103,95,76,152,241,255,247,249,247,248,248,212,217,219,255,255,255,252,230,211,193,160,121,96,84,110,119,119,101,86,182,255,255,249,250,249,249,249,249,211,213,240,255,255,251,235,213,194,171,146,116,94,91,114,111,92,74,198,255,254,254,254,252,250,250,250,249,223,214,255,255,255,241,226,206,181,162,140,115,89,90,105,81,89,210,255,255,255,255,254,254,252,250,250,249,71,162,255,255,254,226,198,192,173,145,126,97,80,73,76,128,236,255,255,255,255,255,255,255,254,252,252,251,25,146,255,249,246,209,198,184,130,111,86,57,56,118,196,255,255,255,255,255,255,255,255,255,255,253,251,252
23,184,186,191,193,194,195,197,198,198,200,201,200,200,199,199,200,201,201,201,201,200,201,201,200,201,199,200,199,186,189,193,194,195,197,198,199,201,200,199,199,200,201,202,203,205,204,205,201,201,202,202,201,202,201,201,200,190,192,194,198,198,200,200,201,204,202,202,203,204,201,201,198,187,191,204,208,205,205,206,205,205,204,203,202,191,193,197,199,200,203,203,204,204,206,208,207,202,216,231,208,184,167,182,167,194,211,208,208,207,208,206,204,192,195,199,200,203,204,206,207,206,208,209,207,221,233,217,190,161,159,138,110,196,214,210,210,210,209,209,208,195,198,200,202,205,207,208,208,208,209,210,226,225,180,172,132,146,153,151,189,213,209,212,211,212,212,212,211,197,199,202,204,206,208,208,210,211,209,211,219,194,134,128,176,221,218,222,218,212,214,214,213,213,214,214,213,200,202,205,208,208,209,210,210,213,211,213,209,178,144,136,235,212,212,205,205,218,214,216,217,217,216,216,215,201,203,207,209,209,212,213,212,214,214,217,210,177,174,129,212,212,225,209,131,190,222,217,218,219,219,216,216,202,206,209,210,211,214,215,215,216,216,215,217,197,175,156,226,241,232,206,115,149,233,218,220,219,219,217,217,204,209,210,210,214,215,215,216,217,217,215,223,207,216,242,237,217,213,198,97,115,176,182,225,218,219,218,217,205,208,211,212,215,215,216,217,218,218,217,215,221,234,226,216,220,208,165,104,53,127,135,227,222,220,220,219,207,208,212,215,215,216,217,219,220,219,214,215,224,231,234,215,214,201,115,85,45,98,89,130,232,224,222,222,208,209,212,215,216,216,219,220,219,223,221,220,221,225,218,208,215,190,104,76,50,74,89,63,137,234,221,223,209,211,213,216,216,218,220,222,220,229,234,213,215,216,217,218,203,149,96,83,53,61,86,89,80,221,226,224,210,212,215,216,218,220,221,222,222,223,228,217,220,222,210,183,136,87,101,89,56,57,85,77,136,234,224,224,211,212,214,216,219,221,221,222,224,215,223,218,214,195,164,120,61,70,105,85,49,70,93,84,209,235,226,225,210,214,216,218,221,222,222,223,226,217,220,214,208,196,143,94,54,93,90,52,47,77,83,149,238,226,228,227,209,213,216,219,220,221,223,223,225,219,216,211,217,199,117,69,56,69,47,47,61,75,90,214,234,229,230,229,210,213,214,217,217,219,222,222,224,217,212,211,221,177,114,87,50,46,51,65,85,72,138,241,228,231,231,231,211,214,215,217,219,221,221,222,223,217,212,218,223,182,126,99,54,51,82,95,102,80,187,243,230,231,231,230,210,214,216,218,221,222,222,221,224,214,209,228,219,183,138,105,73,58,93,104,107,86,205,238,230,230,230,230,209,213,216,218,221,222,222,222,225,214,203,228,216,182,142,108,85,61,93,107,102,100,226,234,231,231,230,230,209,213,217,218,221,222,223,222,225,212,204,220,212,179,139,106,90,66,90,111,88,134,243,230,232,232,231,230,211,214,215,218,220,222,223,222,227,202,200,217,207,172,137,104,89,74,83,102,81,201,238,229,231,231,232,232,212,216,220,221,225,228,229,229,233,199,213,218,195,166,133,104,88,82,78,83,167,244,234,236,234,235,233,229,133,138,145,148,151,153,158,165,160,182,234,221,191,155,125,104,89,87,73,150,222,215,217,225,226,219,217,215,101,102,104,103,104,105,107,107,94,196,246,220,188,146,124,106,87,85,94,117,129,148,157,187,203,190,199,198
4,117,125,135,141,144,147,150,153,156,157,159,161,162,165,167,168,169,171,173,175,176,178,179,180,180,181,183,183,119,126,135,142,144,148,152,154,156,158,161,163,162,163,165,168,173,172,174,176,177,178,179,180,180,181,182,183,120,128,136,141,145,150,153,155,159,158,157,159,167,176,159,153,157,176,173,177,179,179,180,181,181,181,181,183,122,129,139,142,147,151,153,156,157,169,172,153,150,181,192,165,127,134,160,140,165,182,179,182,182,183,183,183,123,131,140,144,147,151,154,155,155,190,202,185,152,125,187,163,127,97,156,118,119,187,179,183,183,184,185,185,123,131,140,145,150,152,153,173,176,163,142,186,159,110,148,154,116,93,140,123,113,185,181,184,183,185,185,186,126,134,142,146,150,149,168,211,191,156,111,159,153,106,121,169,129,93,154,142,107,179,183,185,185,185,186,186,125,135,143,146,150,147,182,189,190,154,111,134,171,113,95,174,144,82,167,149,96,177,186,185,186,186,186,187,126,137,144,147,151,148,187,187,168,174,143,105,177,138,61,138,175,114,130,135,146,137,170,188,185,187,188,188,128,137,143,148,153,149,187,187,149,161,145,80,122,129,78,121,181,150,127,134,148,127,141,191,185,189,189,190,130,139,146,148,154,149,188,193,174,150,123,105,95,120,114,130,153,154,150,138,131,151,130,180,190,189,189,189,132,141,147,150,155,153,202,194,165,148,134,112,115,139,122,142,156,152,141,137,157,171,131,159,196,189,191,191,132,142,147,151,154,158,210,191,158,138,123,109,120,135,138,151,167,145,114,156,188,174,149,138,196,191,191,192,133,143,148,151,153,163,214,186,160,140,125,117,126,134,154,157,170,182,182,162,165,177,157,125,184,195,191,191,135,143,148,152,152,171,221,190,162,141,132,120,129,142,163,168,179,194,192,182,174,156,145,110,163,200,193,194,137,144,149,154,152,169,224,193,168,149,131,120,129,144,168,179,191,197,191,183,173,151,129,102,157,203,194,197,139,144,148,154,153,168,226,199,177,157,131,127,131,145,175,190,197,198,191,182,165,149,127,101,176,200,194,196,140,145,148,153,154,170,229,199,182,163,144,138,137,149,184,201,203,197,184,174,161,143,116,116,200,194,196,196,140,145,148,154,155,168,223,201,188,171,159,141,145,163,190,210,205,196,183,168,153,134,100,149,205,194,197,197,140,146,149,155,158,161,211,206,195,180,171,156,150,179,185,206,203,192,183,162,144,118,102,187,199,196,197,198,140,145,149,155,158,157,199,210,200,187,177,168,154,172,182,198,198,189,177,159,142,107,132,205,195,197,198,198,141,145,149,155,160,158,186,219,203,193,181,169,158,168,178,197,194,180,174,158,139,106,174,201,197,198,198,199,142,146,150,156,159,160,177,227,206,192,179,164,161,166,180,191,183,170,160,156,129,129,203,197,198,198,198,199,143,146,150,155,161,161,175,233,200,186,178,169,168,170,178,180,167,159,148,138,121,183,199,198,199,199,199,199,142,146,150,155,161,161,176,225,190,187,184,182,176,171,173,176,163,152,142,111,166,201,197,199,199,199,199,199,143,147,151,156,160,159,180,220,191,193,190,186,185,175,169,170,159,146,121,123,202,194,197,197,199,200,199,200,142,146,151,156,161,160,181,221,207,195,185,189,193,176,162,159,152,139,102,154,202,194,197,198,200,200,200,200,142,147,152,157,161,161,182,218,213,194,188,196,194,170,158,152,151,128,99,180,200,195,199,199,199,199,201,201
21,60,67,75,89,104,112,119,123,126,129,130,134,137,140,144,145,147,148,150,152,152,152,153,153,154,154,154,154,61,69,77,92,105,114,119,123,127,130,132,136,139,141,139,148,149,151,152,152,154,155,156,156,156,155,156,155,64,71,77,95,107,115,121,125,129,132,134,136,149,153,84,139,154,152,154,154,157,157,157,156,158,158,157,157,65,73,80,97,109,116,122,127,130,133,137,136,158,154,78,133,159,153,155,157,159,159,157,157,159,159,159,159,65,73,83,99,110,118,123,128,133,136,140,137,159,153,84,129,159,156,157,158,161,162,161,164,163,161,160,160,67,75,84,100,110,120,125,128,133,137,140,138,162,160,91,128,162,156,159,158,163,164,158,149,163,163,163,163,68,76,87,103,112,121,126,131,135,137,140,140,163,161,95,121,165,159,162,162,163,163,134,85,148,169,164,165,70,78,89,106,113,122,127,132,136,137,141,141,163,158,97,108,167,159,163,162,166,153,109,91,165,167,166,166,71,77,89,106,114,122,128,134,137,138,143,142,170,161,97,106,168,159,164,168,166,134,86,142,175,167,167,167,72,79,93,108,116,124,129,135,138,138,143,144,178,165,105,112,168,160,165,163,146,105,111,176,168,169,168,168,72,80,95,109,117,125,131,135,137,140,154,131,161,148,101,107,169,161,168,160,124,86,160,173,169,171,171,170,74,81,96,110,118,125,131,136,138,148,151,106,107,107,86,109,169,163,167,152,93,122,179,169,172,172,171,171,76,82,98,110,118,127,132,135,149,166,117,103,76,72,75,111,151,152,153,113,89,170,172,173,173,173,171,172,76,82,99,111,119,126,133,136,173,179,152,128,81,56,73,101,130,130,116,74,140,178,170,173,173,173,173,172,76,84,101,112,120,127,132,146,178,187,191,126,84,59,67,89,106,111,79,99,178,172,174,174,174,174,174,174,77,85,102,112,120,128,131,152,161,151,160,112,79,67,65,80,91,92,73,160,177,174,174,174,174,174,175,175,78,86,103,113,120,129,131,172,159,100,121,129,90,71,66,70,80,64,105,182,172,174,176,176,176,175,176,175,79,87,105,113,122,128,138,173,125,94,105,142,102,76,68,64,72,60,133,182,173,176,175,176,175,176,177,176,78,89,107,113,123,124,151,171,133,129,123,161,118,99,77,64,67,61,140,182,176,177,177,176,176,177,178,176,78,90,105,112,124,124,162,174,155,121,162,189,124,114,82,63,66,65,154,179,176,177,179,179,179,178,177,176,79,91,108,114,125,125,171,187,148,130,197,165,119,109,82,63,63,70,169,179,177,177,178,179,179,179,178,178,80,92,107,114,125,125,179,177,136,147,185,146,115,99,90,69,57,91,182,176,177,177,178,179,179,179,179,179,80,92,107,114,126,127,171,158,147,147,181,143,133,97,78,70,55,125,184,175,178,178,179,180,180,180,179,179,79,93,108,117,127,129,156,164,167,145,184,134,127,100,71,68,58,150,182,175,178,178,179,180,181,180,179,179,79,95,109,117,126,131,147,185,156,141,172,120,105,82,67,63,68,165,179,177,179,180,180,181,181,181,180,180,78,95,108,116,124,131,144,176,152,132,148,112,90,78,68,54,83,176,175,179,180,181,182,182,182,181,181,181,76,93,105,115,124,132,138,156,140,135,138,120,105,86,71,49,96,180,172,175,178,179,179,180,180,180,181,180,77,94,104,115,123,133,137,149,146,141,138,133,119,88,68,44,103,180,171,174,177,178,179,179,180,180,181,180
22,140,145,149,153,156,161,165,169,172,176,181,179,179,182,184,186,187,187,185,185,186,187,189,189,189,188,189,188,144,149,153,157,161,165,171,173,176,180,183,183,190,188,189,190,190,195,191,191,192,191,194,194,193,193,193,193,147,155,157,161,164,168,173,177,181,183,187,188,146,187,194,195,190,148,195,193,188,198,198,199,197,198,197,195,149,156,160,164,168,171,175,182,184,186,194,182,92,173,203,203,203,88,183,210,151,148,210,200,200,200,202,200,153,158,162,167,171,176,180,185,189,189,205,173,75,178,203,215,199,96,188,222,152,105,215,203,204,204,204,204,156,161,166,171,174,179,184,189,191,191,212,169,69,182,204,225,195,106,197,221,150,102,212,206,207,209,208,209,160,165,170,174,177,182,187,190,196,194,214,183,75,182,211,225,179,111,204,225,161,110,215,211,211,210,212,212,162,168,171,177,180,186,190,195,202,196,217,201,77,172,216,223,159,108,209,223,157,118,220,214,215,214,214,212,165,171,174,179,185,189,194,199,204,200,224,203,76,169,223,208,139,112,214,224,155,119,226,217,218,218,218,217,167,173,177,182,188,190,195,201,206,203,226,218,90,158,237,182,131,110,221,226,157,126,230,218,219,219,220,220,168,174,179,183,188,192,197,201,208,208,220,231,153,131,140,162,146,113,228,232,146,137,234,218,222,222,222,222,171,177,181,187,191,195,200,204,208,211,219,219,185,149,119,125,141,134,235,224,134,153,239,221,224,226,226,225,173,178,183,188,191,197,201,207,212,210,228,253,208,199,199,173,104,145,232,215,122,171,239,225,227,226,228,227,175,180,186,190,194,199,203,209,213,218,221,204,210,149,218,195,118,87,181,174,106,194,237,227,227,229,230,229,177,184,188,193,198,201,206,211,214,222,213,176,192,76,124,206,162,86,88,119,85,208,235,229,228,230,230,230,178,185,189,194,200,202,206,213,215,228,231,175,175,116,29,162,210,141,76,72,88,228,235,232,231,232,233,232,179,186,191,195,200,206,211,214,216,236,222,159,149,128,57,92,234,188,116,65,91,237,235,234,235,236,234,235,181,187,191,196,200,206,211,216,215,244,232,171,116,94,79,172,243,200,144,94,93,239,236,237,236,237,236,236,182,189,192,196,202,207,210,216,218,251,225,162,119,126,132,250,235,179,141,99,91,245,237,237,238,237,237,237,184,190,194,198,203,209,213,218,221,243,217,164,153,130,183,249,213,164,117,76,116,249,236,238,238,240,241,239,185,192,196,201,206,210,215,220,221,240,213,160,158,125,210,246,190,147,110,66,149,255,238,242,242,245,244,244,185,190,197,202,205,211,216,219,221,233,210,160,171,138,226,246,176,132,100,66,159,255,241,246,246,247,246,245,184,191,197,200,204,211,216,220,222,224,210,169,190,143,215,225,168,125,93,60,177,255,242,246,246,247,247,247,184,191,197,201,205,209,216,220,225,219,210,177,192,146,203,200,152,117,87,61,200,253,243,246,245,245,248,247,187,192,197,202,207,210,216,220,224,224,217,183,178,136,179,176,130,115,83,74,223,246,244,246,246,246,247,245,187,192,198,203,208,212,216,222,223,223,218,176,144,121,169,147,125,119,77,121,248,243,244,245,247,247,246,246,186,192,198,203,207,212,217,222,219,226,221,182,151,145,177,130,140,103,67,205,252,245,246,246,247,247,247,245,186,192,197,202,208,212,217,222,214,230,231,197,178,156,173,123,143,69,127,252,242,246,247,247,247,247,247,247
3,117,126,133,137,140,144,149,152,154,157,157,159,160,161,162,162,162,163,162,162,162,162,161,161,160,159,158,157,122,130,136,140,145,149,153,157,159,161,163,164,165,166,167,168,144,156,168,166,167,166,166,165,164,163,161,161,126,134,140,144,149,154,157,161,164,166,168,169,170,170,172,171,120,120,173,172,172,172,171,170,169,167,166,165,130,138,145,149,153,158,162,166,169,171,172,173,175,176,177,172,115,91,169,176,176,176,175,175,173,171,170,169,134,142,149,152,157,162,166,170,173,175,177,178,179,180,181,179,117,79,159,181,180,179,179,178,177,175,174,173,137,145,152,156,160,165,170,174,176,179,180,181,183,184,185,185,125,77,147,187,183,183,182,181,180,178,178,177,140,148,155,159,163,168,173,178,180,182,183,185,187,187,187,196,141,80,131,191,188,187,187,185,183,182,181,180,143,151,157,162,166,171,176,180,183,185,187,188,189,191,180,175,129,75,118,192,191,191,190,189,187,186,185,184,146,154,161,165,169,174,179,183,185,188,190,192,192,210,189,140,96,84,113,193,194,193,193,192,191,190,188,187,149,157,163,167,172,178,182,186,187,191,194,184,165,196,209,160,96,129,122,185,198,196,196,196,195,194,191,190,151,158,164,169,175,180,184,188,191,191,202,196,167,160,213,174,139,167,102,155,202,200,199,198,197,196,194,193,154,161,167,171,178,182,186,190,193,177,174,204,193,155,189,171,147,154,89,105,196,202,201,200,200,198,197,196,155,163,169,174,179,183,188,192,201,194,170,163,194,163,163,165,129,153,112,86,151,205,202,202,201,201,200,199,157,165,171,175,181,185,191,195,195,200,189,142,150,168,138,164,129,138,137,103,111,203,204,204,203,202,201,200,159,166,172,177,182,187,193,196,186,153,163,119,99,144,109,160,155,110,136,111,106,201,207,206,205,204,204,202,160,167,173,178,183,189,194,198,193,146,141,115,84,125,106,103,98,71,123,115,103,200,209,208,207,206,205,204,161,167,174,180,185,190,195,199,203,172,127,112,92,110,139,91,53,82,143,122,93,188,212,209,208,207,207,206,161,167,173,179,185,190,195,199,200,167,120,97,82,74,112,100,89,124,159,123,88,176,215,210,209,209,208,207,161,167,173,179,185,190,195,198,202,187,145,106,84,75,93,144,159,162,145,110,93,184,213,210,210,209,209,208,162,169,175,180,186,191,195,199,205,196,157,116,104,109,126,194,204,177,139,97,105,202,212,210,210,209,205,204,163,170,176,182,187,191,196,200,204,199,170,135,120,116,139,200,199,165,130,94,125,212,214,211,210,191,176,198,154,161,168,175,181,187,192,197,200,198,176,145,124,120,136,193,191,154,118,89,143,206,196,195,191,158,157,196,103,105,109,114,119,123,127,132,139,178,177,150,136,133,128,183,182,144,107,87,141,183,169,157,177,129,159,187,96,98,100,101,101,102,103,103,102,142,179,159,144,139,120,160,165,130,97,96,159,160,169,147,151,118,171,179,97,99,100,101,103,104,107,108,105,126,182,164,143,133,110,128,139,105,90,129,165,153,157,153,123,124,177,175,98,99,100,101,103,103,104,105,104,157,202,166,139,122,100,106,108,92,101,149,161,152,149,147,115,146,174,175,97,99,101,101,103,103,103,104,107,179,202,164,137,114,102,101,96,85,133,148,138,149,143,136,134,154,172,174,96,98,101,100,100,102,103,103,112,182,193,162,139,123,109,97,89,87,157,151,111,141,143,136,150,150,178,172
15,133,132,125,87,133,99,29,71,82,84,85,89,93,99,113,125,134,140,144,147,152,157,162,166,169,172,174,176,137,135,124,90,137,92,30,74,82,84,87,91,94,100,115,126,136,142,144,148,153,159,164,167,171,174,176,178,141,139,121,96,143,86,33,77,83,85,88,91,95,101,116,128,138,143,146,150,156,161,166,170,173,175,178,180,145,143,119,102,147,78,36,79,83,85,89,92,95,103,118,128,138,146,148,151,157,162,167,172,174,176,179,181,147,147,114,109,150,69,41,82,84,86,89,93,95,104,119,130,140,147,150,153,159,165,170,173,176,179,181,183,150,150,110,118,150,61,46,83,84,87,90,94,96,104,119,132,142,148,151,155,161,167,171,174,178,181,183,185,153,153,106,127,149,55,51,83,84,85,89,93,96,105,120,133,143,150,153,157,163,168,172,176,180,182,185,186,156,157,106,148,157,110,105,122,117,114,110,106,102,108,120,133,143,151,153,158,164,168,173,177,180,183,186,187,158,157,118,170,147,141,140,160,150,147,150,153,140,126,120,131,141,143,144,156,165,169,174,178,181,185,187,188,158,156,106,143,111,109,111,137,125,122,149,162,143,124,130,154,161,144,123,120,162,172,175,180,183,186,188,190,160,156,99,149,117,65,84,106,103,102,131,146,131,115,144,163,159,157,157,111,121,167,178,181,185,188,190,192,164,154,99,162,128,32,75,89,89,91,99,120,123,138,173,159,148,170,170,147,106,112,172,184,186,189,191,194,167,152,102,167,120,31,80,89,89,89,104,132,134,138,166,141,139,166,159,162,126,91,111,174,188,189,193,195,169,149,108,172,112,31,83,89,88,93,163,156,118,106,109,109,140,152,155,147,130,107,81,106,170,192,194,196,173,144,114,177,103,33,86,89,87,99,173,171,130,98,69,80,142,160,153,119,107,103,89,76,94,167,197,198,179,141,124,180,94,36,88,89,87,88,151,184,159,140,121,126,139,141,131,96,85,89,84,80,73,95,183,199,183,135,132,180,84,39,91,88,94,128,167,173,167,143,123,124,121,119,121,99,82,84,82,78,74,69,123,199,185,129,141,179,76,44,92,87,146,165,157,141,153,128,95,103,102,101,102,89,82,86,84,79,76,74,77,146,187,124,147,178,68,47,94,89,152,140,121,112,123,101,80,83,80,78,81,83,89,99,97,80,74,78,76,80,187,119,156,177,59,51,95,89,107,102,88,103,105,85,78,86,78,70,91,98,106,114,101,76,72,78,79,76,189,116,164,175,53,56,95,89,88,88,90,117,152,126,97,93,92,82,87,98,106,105,91,75,74,81,83,81,189,114,173,173,47,60,95,89,88,89,91,95,112,112,89,78,106,118,80,83,101,97,85,79,80,86,84,81,190,113,184,173,41,65,95,88,87,88,90,92,98,113,123,132,143,129,104,100,96,89,84,85,87,85,82,80,188,114,190,169,36,69,95,88,86,87,89,91,99,117,133,146,156,140,80,90,110,113,101,92,79,67,61,58,184,117,196,162,33,73,95,88,86,87,88,90,98,116,132,144,157,121,70,67,114,99,68,48,34,28,27,20,178,120,200,153,31,76,92,86,85,85,86,89,98,115,131,145,156,103,76,71,42,41,40,30,24,20,17,12,171,127,204,144,30,79,91,84,82,84,85,87,96,114,131,146,146,90,72,71,52,21,40,31,24,20,17,12,165,136,208,136,30,82,90,83,81,82,84,85,95,113,130,146,132,79,71,69,63,15,30,30,20,16,16,12
18,173,173,175,176,177,178,179,179,179,179,180,179,179,178,178,177,176,176,176,176,175,173,173,173,172,171,170,169,174,175,177,177,177,179,180,180,180,180,180,180,180,179,179,179,178,177,177,177,177,175,174,174,173,172,171,170,175,177,179,179,179,180,181,182,181,182,182,181,181,181,180,180,180,179,178,177,177,176,175,175,174,173,172,171,176,178,180,181,181,181,182,183,183,184,184,183,183,183,182,182,181,181,182,166,166,177,177,177,175,174,174,173,178,180,181,181,182,183,184,185,185,186,186,185,185,185,184,183,182,187,192,148,139,174,179,178,177,176,175,174,180,181,182,183,184,185,186,186,186,187,187,186,185,179,176,178,174,187,199,147,117,163,180,180,179,178,177,176,182,183,184,185,186,187,188,188,188,188,188,190,189,167,146,149,146,168,201,164,111,134,175,181,180,180,179,178,183,184,185,187,188,189,190,190,190,190,189,186,184,173,146,125,125,159,198,174,122,106,149,177,181,181,181,180,184,185,186,188,189,190,192,192,193,194,191,168,143,148,155,127,106,126,169,173,140,114,112,154,182,183,182,181,186,187,188,189,191,192,193,193,200,206,197,168,132,112,139,130,96,85,112,152,151,124,99,122,178,184,183,182,186,188,189,191,192,193,193,197,211,214,207,175,140,104,108,115,86,65,79,144,163,134,102,113,176,185,184,184,187,189,191,192,193,194,196,207,208,202,204,176,144,103,81,87,75,58,71,145,171,146,106,113,177,187,186,185,188,190,193,194,195,196,204,218,205,189,187,164,135,98,73,76,65,55,68,136,171,153,108,110,177,188,187,186,190,192,194,195,196,201,213,208,187,177,170,133,107,85,78,85,65,64,83,140,170,153,109,108,177,189,189,188,191,193,195,196,197,208,223,206,174,154,145,111,89,73,90,101,98,118,129,145,158,140,104,104,176,190,190,189,193,194,196,197,198,212,228,214,185,146,124,116,86,61,109,145,161,166,158,138,131,124,101,98,171,192,191,190,194,195,197,198,201,219,230,217,188,150,124,116,84,89,165,192,188,170,152,133,112,112,99,96,169,193,193,192,195,196,198,199,205,224,229,209,176,150,129,113,107,155,201,201,187,163,140,129,107,99,90,106,177,194,193,193,196,197,199,200,208,226,226,203,173,155,127,114,148,196,205,195,178,158,136,124,107,90,84,136,190,195,194,193,196,197,199,201,212,227,224,200,176,161,132,138,178,206,200,186,173,154,130,116,101,82,96,169,195,196,195,194,196,198,200,202,213,226,220,201,184,167,138,154,181,198,191,177,165,145,120,106,91,77,125,188,197,196,195,195,197,199,201,202,212,223,218,204,188,161,134,145,173,182,179,168,154,133,111,96,80,89,163,197,198,197,196,195,198,200,201,202,212,221,217,207,184,147,124,139,162,170,166,158,142,120,100,83,76,127,190,200,199,198,197,197,199,200,201,204,213,215,210,199,169,134,124,143,157,164,158,146,128,106,85,73,102,173,199,201,201,200,198,198,199,200,202,206,217,215,208,194,170,148,141,146,156,160,150,132,115,94,75,88,157,197,202,202,202,200,199,198,197,198,202,209,223,222,217,204,187,168,151,140,151,153,138,117,100,82,83,142,194,203,203,202,202,201,200,199,165,158,180,208,224,222,217,204,184,164,148,133,142,143,124,105,88,84,134,190,204,204,203,203,202,201,201,200,115,96,116,178,217,220,214,199,177,154,142,131,137,132,113,96,79,113,184,205,206,205,204,204,203,202,202,201
7,204,204,205,206,205,206,205,205,204,204,204,204,202,203,202,201,200,199,197,197,196,197,184,114,101,91,93,116,207,207,207,207,208,208,207,208,207,207,206,206,205,204,204,204,203,200,199,199,199,196,203,135,92,78,87,104,208,209,209,210,212,210,209,210,210,210,209,208,207,207,206,205,204,202,202,201,200,199,205,160,75,68,85,92,210,211,214,212,213,213,212,211,211,212,211,211,210,209,207,206,206,205,204,203,202,202,201,195,83,55,74,86,212,213,215,214,214,214,214,214,214,214,213,213,213,214,211,209,209,208,206,205,206,202,201,206,157,100,79,99,213,213,215,216,217,215,216,216,217,216,214,213,213,201,199,205,203,196,189,194,183,201,200,200,160,162,176,162,215,217,218,219,220,219,219,218,216,216,216,217,217,195,182,204,211,195,182,185,169,212,196,183,120,184,205,191,218,220,221,221,220,221,222,221,222,227,234,233,220,198,192,198,184,184,167,165,159,157,157,191,146,198,155,176,219,221,222,223,222,218,216,227,238,240,239,229,218,207,208,198,158,157,185,171,166,154,151,155,143,169,141,207,220,223,224,223,240,230,219,222,229,228,223,220,219,219,211,192,173,165,184,181,173,175,159,134,137,173,153,208,221,225,222,237,255,240,226,218,223,226,224,223,221,216,214,189,174,166,157,147,144,142,130,124,116,129,156,197,223,224,224,254,255,240,211,201,212,225,225,221,211,197,185,163,151,142,135,141,147,155,153,160,172,180,204,211,227,225,235,255,251,231,197,199,210,200,194,184,171,163,150,135,131,199,222,213,218,220,218,219,216,216,200,144,229,225,252,255,246,225,214,209,195,185,190,193,187,182,176,185,161,124,203,225,219,217,215,214,212,210,212,150,225,234,255,255,252,249,247,218,194,201,201,200,189,178,175,170,155,94,81,210,224,218,217,216,214,212,213,197,222,251,255,255,255,255,254,213,178,191,189,184,176,169,161,151,133,104,63,180,231,219,219,217,215,213,212,212,238,255,255,255,255,252,239,203,184,170,146,131,141,157,168,175,178,113,94,211,224,221,222,219,218,215,214,211,255,255,255,255,254,245,231,212,192,174,153,153,186,205,191,178,192,138,202,230,222,222,223,220,218,217,213,212,255,255,255,255,247,239,222,198,197,199,177,186,199,186,175,166,160,125,219,229,224,224,223,221,219,217,216,213,255,255,255,255,242,220,195,202,220,209,184,184,180,172,165,157,129,116,228,229,227,225,223,223,221,219,217,215,255,255,255,250,229,214,218,235,232,213,189,162,147,133,120,106,107,186,235,227,230,227,225,223,222,221,218,215,255,255,248,237,229,231,234,228,219,194,164,132,130,145,115,163,213,235,231,231,230,229,226,223,221,221,218,216,253,245,239,236,236,237,220,209,206,186,155,132,209,241,231,241,238,233,233,230,230,229,228,226,222,221,219,219,240,239,240,234,229,228,212,208,197,161,125,210,247,236,238,234,234,234,234,232,230,229,229,227,225,223,220,218,232,229,233,227,217,213,207,192,159,118,197,248,237,238,236,236,235,236,235,233,233,230,229,228,225,222,222,213,231,226,221,210,200,197,185,157,114,184,248,237,237,237,237,236,235,235,233,230,230,230,229,227,224,228,223,201,227,218,205,187,179,170,142,116,186,247,240,240,239,238,237,236,234,234,233,231,230,229,228,224,227,204,198,213,205,192,174,157,146,130,112,189,251,239,241,240,240,239,237,236,235,234,233,232,232,229,228,227,218,111,90,157
17,110,111,112,114,117,119,120,122,123,123,124,125,126,127,129,130,130,130,131,131,132,132,132,132,131,132,132,132,111,112,113,117,118,119,120,123,123,124,126,127,127,129,129,131,131,131,131,131,132,133,134,134,134,135,135,134,111,113,116,118,120,121,122,123,125,125,127,128,128,130,131,131,132,133,133,132,134,134,134,135,135,135,136,136,113,114,117,119,120,122,123,124,125,127,128,128,130,131,132,132,134,135,135,135,137,135,135,137,135,136,137,137,112,115,118,119,121,123,124,125,126,128,129,130,131,132,133,134,135,135,132,138,135,136,137,137,137,137,137,137,113,115,117,119,122,124,124,126,128,127,130,131,132,132,134,135,134,138,119,99,100,94,141,137,138,138,138,138,114,116,118,120,122,124,126,127,128,130,131,132,132,133,135,136,134,144,140,83,57,75,141,138,139,139,139,139,116,117,119,122,123,125,126,128,130,132,133,133,135,136,135,136,136,144,148,102,51,82,148,138,140,139,139,139,116,118,119,122,124,125,127,129,131,131,132,134,135,133,139,138,138,141,153,119,60,99,149,139,140,140,139,141,116,118,121,124,124,126,129,129,130,131,133,132,137,121,105,142,138,142,153,118,74,125,146,142,142,140,140,141,116,119,122,123,125,127,129,129,131,132,133,135,143,130,89,97,141,153,150,112,77,134,145,143,143,142,142,141,117,119,122,124,126,128,130,130,131,136,126,108,138,144,131,114,94,121,143,115,75,133,147,143,143,143,142,142,117,120,123,125,127,129,131,130,134,156,125,82,119,143,155,144,100,62,110,108,77,132,148,144,143,143,143,143,118,121,124,125,128,130,132,129,143,131,135,110,109,96,130,158,128,71,75,94,71,130,148,144,143,143,144,144,119,121,125,126,128,129,132,129,151,122,96,100,73,44,80,171,143,91,60,74,63,130,149,145,144,144,144,144,120,122,124,126,128,130,132,134,148,113,84,99,79,67,80,167,156,111,61,65,58,127,150,145,145,145,144,145,120,122,124,127,129,131,131,139,152,129,115,106,87,107,94,157,160,120,73,61,59,122,151,145,146,146,145,145,120,122,125,128,129,132,130,148,145,113,107,101,97,115,137,157,143,126,82,57,56,124,152,145,147,147,146,146,121,123,125,127,131,133,131,154,134,110,101,102,109,126,177,156,127,116,80,53,50,125,153,147,147,147,147,147,122,124,125,128,131,133,131,160,137,117,104,104,111,161,170,153,124,107,76,52,51,134,151,148,147,147,147,147,122,124,125,129,130,132,136,163,139,126,105,104,134,175,157,147,117,101,71,50,66,151,147,148,147,147,147,147,121,123,127,130,132,130,142,165,140,132,118,106,152,172,153,145,110,91,68,45,100,156,146,148,148,147,146,146,121,123,127,130,134,131,146,170,143,140,132,113,155,162,146,140,112,80,62,52,137,151,148,149,149,149,148,148,122,125,128,131,133,131,143,173,149,144,138,122,142,156,144,134,107,78,51,86,157,147,148,149,150,150,148,148,122,124,128,131,134,133,139,171,156,141,132,130,133,147,139,141,104,73,49,114,156,146,148,149,149,149,148,149,123,125,129,132,133,136,135,166,152,140,127,129,136,137,138,142,104,71,52,130,155,149,150,150,150,149,150,150,123,125,128,130,133,134,138,165,150,141,127,127,136,135,138,134,97,68,71,151,151,151,151,151,151,150,150,150,122,124,126,130,134,133,141,167,159,142,132,135,141,129,134,123,87,59,108,158,149,151,150,150,151,151,151,150
21,171,171,172,173,174,174,174,173,173,173,174,170,169,172,170,169,169,167,167,165,164,163,161,158,158,156,152,150,174,174,174,175,177,177,177,177,176,175,181,165,137,170,174,173,172,171,170,169,167,165,164,162,161,159,156,153,177,178,178,179,180,180,180,181,181,180,182,174,129,146,178,178,176,175,173,173,171,169,168,164,163,162,159,158,180,180,181,182,182,183,183,184,184,184,183,179,145,115,177,181,180,179,177,176,174,172,172,155,134,164,163,161,183,183,184,185,185,185,186,187,187,186,186,185,159,100,161,184,182,182,180,180,178,175,177,147,104,160,167,164,186,186,186,187,188,188,188,189,188,187,189,187,174,116,136,187,185,184,182,182,180,178,181,135,105,166,170,166,188,188,190,189,190,191,191,191,190,190,191,192,189,137,116,184,188,186,185,184,183,184,174,121,117,175,172,169,190,192,193,193,193,193,193,193,193,193,194,195,198,149,105,173,191,188,187,187,185,190,166,109,140,178,173,171,193,194,195,196,196,196,195,196,195,196,197,196,203,165,111,156,193,190,189,188,189,187,151,105,163,180,176,173,196,197,198,199,199,199,199,199,198,199,199,197,201,184,132,141,194,192,192,191,191,172,126,115,179,181,179,175,199,200,200,200,201,201,200,200,201,201,201,200,195,188,149,127,191,195,194,195,192,162,100,145,186,183,181,178,200,201,202,201,202,202,202,201,201,202,203,201,181,161,146,118,183,198,196,200,188,146,107,179,188,184,182,180,201,202,203,203,203,203,203,203,203,203,204,201,195,186,166,131,170,201,198,197,172,120,136,192,189,187,184,182,203,204,205,206,205,205,206,206,206,206,207,196,184,199,192,162,138,170,182,174,145,103,169,195,191,188,186,185,206,207,207,208,208,207,207,207,208,208,208,198,161,144,178,168,148,116,136,141,110,111,192,195,193,190,188,186,207,207,208,208,208,209,208,208,209,209,209,200,157,91,96,163,160,98,83,97,84,127,199,196,193,192,190,188,208,208,208,209,209,209,210,210,210,210,211,204,171,129,98,125,146,98,84,77,71,140,202,198,195,194,192,189,209,210,210,211,212,211,211,211,211,212,206,192,187,173,137,101,132,115,98,99,75,147,203,200,198,196,193,191,211,211,211,213,214,214,214,214,214,213,198,195,191,180,165,140,113,122,111,110,71,128,204,201,199,197,195,192,212,213,213,214,215,215,215,216,216,212,197,184,152,152,172,160,124,92,107,98,68,90,195,202,200,198,196,194,212,213,213,214,214,215,215,215,216,212,199,184,143,94,118,151,117,65,83,113,85,63,147,204,201,199,197,195,212,213,214,215,214,215,215,215,216,212,199,181,148,111,76,106,96,67,76,123,110,66,111,202,199,198,196,194,213,214,215,215,216,215,215,216,217,214,194,183,169,127,87,105,125,86,101,140,120,68,127,204,200,194,170,132,213,214,215,216,217,216,216,217,217,214,191,184,178,128,105,131,190,160,143,140,98,64,164,190,163,118,74,52,215,215,216,218,218,218,218,218,219,216,194,186,168,141,105,135,193,183,151,123,86,64,119,94,68,48,44,46,171,174,179,183,186,189,192,196,199,199,186,176,161,136,98,127,177,166,137,110,81,53,52,49,51,33,40,49,109,109,109,110,113,115,114,116,116,116,143,172,163,131,103,125,171,157,122,91,64,46,44,40,47,26,32,51,109,109,109,109,110,113,113,112,113,110,130,174,162,132,112,114,156,143,105,74,49,40,39,33,40,21,27,49
6,206,207,207,208,209,209,210,211,210,211,210,210,209,208,209,209,207,206,207,207,205,202,203,203,202,199,198,199,208,210,210,210,210,210,212,212,212,212,212,212,212,211,212,212,209,209,207,208,208,204,204,203,203,202,200,199,209,211,213,212,212,212,212,213,214,214,215,215,215,215,215,214,213,211,209,209,208,208,205,204,202,202,201,198,210,211,213,213,214,214,214,214,216,216,216,216,214,215,216,215,214,213,211,210,210,208,206,206,204,204,203,202,212,213,214,216,216,215,215,216,216,216,215,216,217,217,217,216,215,215,214,214,212,210,210,207,207,206,204,202,215,215,216,217,218,217,216,216,216,216,216,216,218,217,216,216,215,215,215,215,214,213,211,210,209,207,205,205,215,215,218,217,217,217,218,219,218,217,217,218,219,219,219,218,217,216,215,215,213,213,211,209,209,208,207,207,218,219,219,219,219,220,221,219,219,219,220,221,222,222,222,222,219,219,217,216,216,216,214,213,209,205,207,207,219,219,219,221,221,221,222,224,223,223,217,216,220,219,219,217,218,218,220,210,214,208,210,205,203,227,215,205,220,220,222,222,224,226,229,230,226,218,200,182,205,217,220,217,222,216,207,208,211,207,212,205,207,236,193,203,224,225,227,227,227,222,217,218,221,218,212,169,156,192,204,204,202,195,189,187,182,182,180,180,174,172,188,214,225,221,220,221,220,212,211,216,216,216,217,176,130,127,126,143,148,156,160,161,171,179,184,186,191,203,216,212,217,212,212,211,208,203,204,201,195,189,177,151,139,135,116,145,204,213,217,220,222,224,226,223,221,225,222,220,216,208,201,196,195,199,198,191,188,195,194,151,127,132,148,141,168,225,232,224,224,222,220,221,217,193,178,178,214,204,193,190,192,192,195,195,198,212,217,166,127,116,135,148,133,140,214,228,224,224,223,221,158,124,123,120,211,202,191,183,179,183,192,198,203,201,189,167,144,138,132,130,142,129,161,234,225,221,233,186,122,132,127,123,213,206,196,187,182,183,184,187,202,207,173,146,149,154,151,138,131,123,168,230,221,226,222,152,124,122,118,120,209,205,199,192,187,188,185,182,188,204,190,145,117,139,163,162,143,119,202,237,228,224,146,120,108,93,85,73,203,204,202,197,190,190,190,189,200,208,177,147,135,130,136,151,157,133,173,192,160,138,111,108,95,81,72,64,192,205,207,205,197,193,191,188,192,201,182,155,149,154,143,131,138,138,128,124,119,108,101,92,84,76,67,67,118,190,211,203,200,199,191,187,176,176,173,161,170,168,157,152,134,107,103,116,118,108,101,90,79,73,65,62,52,90,181,187,173,170,163,161,161,145,136,119,139,155,165,159,132,94,77,101,103,96,96,96,87,73,62,60,55,49,69,167,195,195,203,209,221,219,127,113,116,138,151,129,126,100,75,77,96,91,87,94,95,76,64,58,45,31,103,205,210,210,212,214,214,218,199,173,164,154,121,95,127,96,70,63,78,87,82,87,96,85,66,58,34,34,119,133,128,129,133,133,135,137,143,143,155,149,100,86,123,96,63,63,71,77,78,82,92,89,67,59,38,33,111,131,127,126,126,127,128,126,122,135,146,136,90,80,114,88,61,62,70,71,72,75,84,87,70,58,38,31,127,137,133,135,134,131,130,133,140,132,111,105,93,74,107,82,63,53,65,68,69,72,78,84,76,61,23,49,141,134,135,134,136,135,135,131,120,107,104,92,89,75,99,79,62,56,58,61,64,68,75,81,77,64
1,113,116,119,122,125,129,132,133,134,134,135,137,137,137,137,135,133,133,137,132,131,130,130,126,125,125,124,121,115,120,123,124,128,131,133,135,137,138,138,138,138,138,136,137,143,139,120,135,132,132,132,129,127,125,125,122,118,123,126,128,131,134,137,139,139,139,140,140,141,138,148,129,149,154,65,122,132,134,132,130,130,127,125,125,120,125,129,132,133,138,140,141,142,143,142,143,143,141,178,114,80,147,57,81,100,108,137,131,132,131,129,127,124,129,132,134,136,139,142,144,146,146,147,146,143,156,185,99,51,134,53,79,101,65,142,134,134,134,132,130,126,131,134,137,140,142,145,147,149,149,146,162,154,96,147,83,68,155,63,80,105,56,137,138,137,135,134,132,128,133,137,140,142,144,147,150,151,152,149,184,136,44,109,83,77,155,70,63,105,58,136,143,139,138,135,133,130,136,140,142,145,148,151,151,154,153,155,186,110,44,111,73,62,125,56,85,124,64,129,148,141,141,139,136,133,138,141,144,148,150,152,155,157,154,167,187,107,44,95,56,79,117,47,91,120,60,123,152,144,144,141,139,135,140,142,146,149,150,154,157,159,154,179,174,95,57,103,53,105,131,53,82,110,55,130,153,147,146,143,142,137,142,144,148,152,154,156,159,160,155,182,162,83,71,127,61,84,117,49,108,119,59,134,154,149,148,145,142,138,143,146,149,154,155,157,159,163,159,192,168,110,57,95,34,48,72,36,133,117,61,137,156,152,150,148,145,139,145,149,151,154,156,158,162,166,162,194,148,91,41,47,46,51,51,55,113,85,55,150,155,153,152,150,149,142,149,151,154,156,158,162,165,167,168,185,147,121,112,73,97,59,103,118,69,53,70,165,154,155,153,151,148,144,150,154,156,158,162,165,167,167,178,207,189,133,154,150,137,130,149,106,45,41,105,168,155,155,154,152,149,144,150,156,158,162,165,167,170,165,197,219,147,95,106,144,155,149,129,109,79,20,117,170,156,158,156,153,151,146,152,157,160,165,167,169,172,167,210,191,109,94,54,54,104,90,129,151,101,27,121,172,159,159,157,155,152,149,154,159,163,168,169,171,174,173,217,198,147,93,79,67,49,112,116,177,128,46,102,175,160,161,160,156,154,152,156,161,165,168,172,175,176,181,221,195,157,88,92,58,124,198,132,171,142,72,47,164,167,163,162,159,156,153,159,164,168,171,175,177,178,184,216,198,154,81,98,73,187,200,178,134,106,89,45,155,171,164,163,161,158,154,159,165,169,173,175,179,179,188,215,206,144,90,94,115,214,203,164,133,89,60,57,172,170,167,164,163,159,156,162,167,170,173,178,181,179,190,218,194,132,115,76,155,216,191,160,124,104,36,80,184,170,170,166,165,162,157,164,169,172,175,179,182,181,190,215,182,154,126,88,188,208,180,150,119,87,29,135,183,172,172,169,165,164,158,164,170,174,177,180,182,192,200,203,182,177,131,113,195,197,169,141,105,52,61,183,175,175,173,170,167,164,159,165,171,176,178,180,192,145,134,210,182,184,130,101,171,168,141,114,83,27,139,189,177,176,174,172,170,167,162,167,173,179,180,182,191,58,23,137,179,174,90,79,117,122,105,82,29,73,194,179,180,179,177,174,172,169,162,169,172,178,178,193,142,34,39,25,64,80,55,76,87,86,60,32,38,173,187,181,181,181,178,174,173,170,160,166,173,177,178,191,88,37,34,31,25,31,36,47,44,45,13,0,114,199,180,183,182,181,178,175,173,170
6,223,225,227,229,230,229,229,230,230,232,232,232,233,232,232,233,232,231,230,227,228,226,226,225,221,221,219,219,226,227,227,230,231,231,232,231,231,233,235,234,234,233,233,234,233,233,232,230,229,229,228,226,225,223,223,223,227,227,230,231,232,233,233,233,234,234,234,233,232,235,237,237,235,234,234,234,233,232,229,229,228,225,225,224,228,230,232,232,234,236,236,234,234,234,235,235,235,236,236,236,235,235,234,233,233,232,231,231,229,228,227,225,232,233,233,234,236,236,236,236,237,236,237,237,237,238,239,239,239,239,238,237,235,234,231,232,230,228,227,225,233,234,235,236,237,237,238,239,239,239,240,240,239,239,239,239,240,240,239,238,236,235,235,233,233,233,231,229,234,235,238,238,239,240,241,241,240,239,242,242,241,241,242,242,241,242,241,239,237,237,235,233,232,231,230,231,235,238,239,238,239,242,243,243,242,242,243,244,243,243,242,243,242,243,243,243,239,238,239,236,235,234,233,233,236,239,240,240,240,243,243,243,243,243,244,245,242,243,244,243,242,241,241,241,239,238,237,237,234,233,231,232,240,240,242,241,242,243,243,246,247,251,252,246,235,215,227,238,240,236,237,237,237,229,231,228,226,233,216,255,239,241,243,245,246,249,249,250,244,242,243,241,232,205,174,215,234,238,237,237,221,225,223,222,222,224,211,223,245,249,248,246,242,242,242,239,232,233,237,237,244,230,158,148,165,178,180,183,186,180,178,183,183,185,187,192,255,255,247,235,233,233,233,229,221,223,221,214,210,188,157,144,125,126,176,190,204,210,218,227,234,233,235,242,255,254,247,232,226,221,213,213,216,213,205,203,206,179,144,143,153,147,193,255,255,252,251,250,247,245,245,239,255,250,243,231,219,210,209,210,211,211,212,221,238,214,148,123,138,160,141,167,241,250,246,248,247,250,230,163,250,243,235,228,216,204,197,196,204,212,220,222,219,203,163,146,139,142,155,141,166,253,251,250,246,253,164,133,244,237,234,234,221,209,200,196,199,203,211,229,209,172,164,166,162,150,139,143,147,243,250,245,254,232,142,141,240,232,232,230,222,215,207,202,203,199,198,214,223,181,136,142,174,175,158,128,176,255,250,255,227,149,130,112,231,228,226,224,222,219,212,205,206,206,207,223,216,176,148,131,143,167,176,147,173,249,209,195,151,118,114,97,162,177,199,220,227,228,222,213,209,205,204,219,216,180,156,164,156,140,149,157,150,157,135,124,115,106,94,88,71,76,102,161,230,228,223,217,213,208,201,194,198,182,180,182,171,159,150,127,121,122,134,128,115,104,88,81,68,59,53,58,142,221,201,189,184,180,179,163,160,145,146,172,177,177,159,121,85,99,117,108,105,102,96,84,59,53,54,55,47,112,199,202,209,216,224,238,158,108,113,134,167,158,141,127,90,78,101,101,95,96,103,89,52,47,44,43,39,181,249,247,252,255,255,255,232,181,175,164,160,106,130,125,85,70,77,94,90,88,98,96,47,40,38,26,69,166,153,156,157,159,163,165,172,175,175,173,144,86,122,123,81,63,67,81,83,84,93,96,42,38,36,29,61,140,134,134,135,134,137,139,133,130,153,160,126,75,116,113,75,58,71,72,76,78,85,90,44,41,44,24,64,155,145,146,146,146,142,143,147,155,138,125,113,76,105,102,73,55,63,72,71,73,78,84,51,49,41,14,94,156,144,145,148,149,145,145,145,131,115,99,98,83,94,98,70,57,57,66,65,70,73,80
10,154,157,161,165,167,170,172,174,173,175,176,177,179,177,179,179,179,178,179,179,179,179,180,179,179,178,177,176,157,160,164,167,170,173,175,177,177,179,180,180,182,181,182,181,182,182,182,182,182,181,182,182,181,181,180,179,161,164,167,170,173,176,179,180,182,182,183,183,185,184,184,188,186,185,185,185,184,184,185,185,185,184,184,183,163,167,170,174,177,180,182,184,185,186,187,187,186,189,186,150,189,189,188,188,187,188,189,188,188,188,187,185,165,168,173,175,180,183,185,187,188,189,190,190,189,193,203,129,162,199,189,190,189,191,191,192,192,190,190,188,168,172,176,179,182,185,188,189,190,191,193,193,194,192,207,173,128,194,194,193,193,194,194,194,194,193,191,190,170,174,177,181,185,188,190,191,193,193,194,195,198,196,204,205,141,168,203,194,195,196,197,197,196,196,195,193,172,176,180,184,187,190,192,193,195,195,195,196,191,189,207,226,181,138,202,198,198,198,198,198,198,196,197,196,174,178,182,187,190,192,193,194,195,198,197,204,189,122,173,234,212,132,176,207,201,203,202,202,201,199,198,197,175,179,185,189,191,194,195,197,199,200,200,205,209,146,108,214,225,152,142,211,201,204,203,204,203,203,202,201,178,183,186,188,192,196,197,200,201,203,203,201,226,213,155,156,210,178,121,209,204,205,207,206,205,205,204,203,179,184,188,191,194,196,199,201,203,205,204,217,198,240,206,123,141,199,109,196,209,208,208,208,208,207,205,205,181,184,189,192,195,198,201,202,203,205,215,217,154,163,209,140,94,138,104,176,216,207,209,209,209,209,209,208,181,185,189,193,196,200,203,205,201,221,228,200,150,70,165,178,108,78,83,128,219,210,211,211,209,210,211,210,182,186,190,194,197,202,204,205,202,222,236,159,101,33,105,174,139,86,74,90,200,216,211,212,211,211,211,211,183,187,191,196,199,203,203,208,219,197,230,187,116,40,80,161,165,131,86,80,177,222,211,214,214,212,211,211,183,187,193,197,200,204,203,211,235,216,198,231,196,85,94,190,181,159,97,71,165,226,213,216,217,214,213,212,185,187,192,197,201,204,205,207,210,236,205,183,215,161,150,211,186,163,105,66,160,228,214,217,217,215,215,214,183,187,192,196,200,202,203,210,185,195,197,134,187,192,126,216,188,153,116,69,153,228,215,218,217,215,215,216,184,188,192,195,199,203,203,208,221,188,169,146,124,174,198,227,197,152,107,74,153,228,215,217,216,215,215,214,184,188,192,196,199,202,203,206,230,219,173,157,150,230,244,224,190,142,103,76,161,228,215,216,216,215,215,216,184,189,193,196,199,203,205,205,220,228,194,188,185,240,229,210,179,126,102,81,152,229,215,217,217,216,216,216,186,190,193,197,199,202,204,206,212,227,205,217,192,235,220,190,165,128,119,93,141,229,216,217,217,217,217,216,184,190,196,199,204,207,209,212,214,221,218,227,194,209,215,184,169,141,145,100,153,232,218,220,219,219,217,217,116,121,126,129,135,141,146,147,148,212,230,224,205,180,202,185,184,156,143,97,156,213,206,211,213,215,216,217,101,101,99,96,96,98,100,102,94,160,227,208,195,178,180,191,201,160,126,98,103,113,115,118,122,124,124,128,107,108,107,111,114,113,111,111,110,114,204,190,184,177,175,195,201,156,118,96,112,111,109,110,109,108,106,106,105,105,106,109,109,111,110,108,112,100,177,195,182,180,188,184,189,157,113,96,123,120,117,122,121,122,122,124
5,118,124,127,129,135,140,144,147,150,152,152,155,158,158,159,160,161,161,160,160,159,159,158,158,157,156,156,154,119,125,128,130,136,142,146,149,148,162,159,122,161,160,161,161,163,162,162,162,161,160,159,159,158,157,157,157,120,127,130,133,138,143,148,151,145,182,154,110,161,162,162,162,163,163,163,164,162,162,161,161,160,158,158,157,121,128,130,133,139,144,147,149,155,200,115,129,166,162,163,164,164,164,164,161,163,160,162,162,161,160,159,158,122,128,131,132,139,146,151,146,181,200,99,150,166,164,165,166,166,163,164,175,188,122,144,167,162,162,159,159,123,130,129,147,142,140,153,144,200,188,106,160,165,165,166,169,164,169,199,185,147,112,155,167,163,162,161,160,124,132,123,180,152,110,158,149,214,170,112,166,166,167,169,166,176,215,188,118,118,161,167,165,165,164,162,161,124,133,124,185,145,107,158,155,221,153,115,171,167,169,166,177,215,193,129,112,164,171,167,165,165,165,163,163,126,134,129,201,132,117,157,165,220,141,109,172,167,167,177,209,180,123,120,168,173,169,169,168,167,166,165,163,127,134,132,199,141,110,157,170,211,154,103,165,170,170,203,189,114,109,168,174,171,170,170,169,168,168,166,164,127,136,130,188,169,103,156,165,208,157,96,161,175,180,193,146,100,151,180,171,173,172,172,170,171,169,168,167,129,138,132,171,193,109,123,162,201,156,84,140,172,160,144,112,128,176,171,172,175,174,172,171,166,167,170,168,131,137,135,156,198,155,135,125,174,177,114,96,116,120,107,114,165,166,196,202,198,194,186,174,118,139,180,166,132,138,140,146,168,181,174,146,145,163,122,98,98,105,104,134,152,177,171,158,169,186,174,157,128,103,157,174,132,139,141,146,150,159,178,191,195,170,124,94,94,97,116,120,122,140,108,101,181,193,154,128,114,107,154,176,133,138,140,146,155,155,159,198,219,195,138,94,95,94,104,114,106,89,119,173,205,159,112,124,161,174,176,172,135,139,142,148,155,162,161,179,215,207,152,99,91,89,95,104,87,127,190,183,179,118,107,177,182,176,176,175,135,140,143,150,155,161,166,165,203,218,175,115,89,90,88,86,76,132,163,168,178,112,138,187,177,177,177,176,137,141,143,151,156,161,167,165,195,223,191,138,95,85,84,92,105,129,137,163,167,108,156,187,179,179,178,176,135,141,143,150,156,159,165,167,180,228,205,163,109,84,86,95,106,138,155,150,153,108,164,186,179,180,179,177,135,140,142,149,155,160,165,166,177,229,217,184,131,89,87,94,118,151,153,131,123,99,169,185,181,179,178,177,135,140,143,149,157,163,168,168,176,227,219,194,149,100,85,101,131,155,146,115,100,124,186,183,182,179,178,178,137,142,143,150,157,162,167,169,174,221,221,197,167,117,90,93,135,148,139,105,101,178,187,184,183,181,179,179,136,142,143,149,156,162,166,170,172,208,223,200,179,136,105,90,124,141,126,98,115,189,183,183,182,180,178,178,134,140,144,150,157,164,169,175,174,200,217,211,190,161,122,98,102,126,114,95,151,197,188,189,188,185,184,186,127,131,135,138,141,145,148,152,146,192,225,222,199,168,127,107,99,113,103,101,148,155,151,152,152,151,152,143,97,98,98,99,97,95,96,100,85,177,236,220,195,154,122,110,102,103,103,97,88,87,85,86,87,84,81,130,102,103,103,103,103,101,103,107,92,173,230,211,174,127,113,105,103,105,101,96,96,95,94,94,91,98,171,209
4,148,148,148,149,149,149,149,149,149,148,149,149,148,148,148,147,146,143,144,144,143,142,140,140,138,138,137,136,150,150,151,151,151,152,151,151,151,151,150,151,153,150,149,149,149,151,148,146,144,143,143,142,141,140,139,137,154,154,154,154,154,154,154,154,154,154,153,152,149,155,154,145,120,110,146,151,150,149,145,144,144,143,142,141,156,156,155,156,156,155,155,155,155,154,154,139,114,116,153,148,118,77,99,149,114,124,150,146,146,145,143,142,158,158,157,158,158,158,157,157,157,157,161,163,138,107,96,143,136,100,62,114,107,65,112,157,145,147,146,145,159,159,160,160,160,160,159,160,159,153,149,152,160,137,91,90,142,118,64,90,118,69,60,155,148,149,148,146,161,161,161,161,162,162,162,163,154,143,141,98,118,136,77,58,139,117,64,71,119,85,48,150,152,150,149,147,163,163,163,163,163,163,163,163,158,154,145,97,74,116,68,52,119,88,43,91,125,92,61,157,154,152,151,151,164,164,164,164,165,165,165,165,150,109,136,113,68,96,101,51,87,74,31,99,98,55,77,166,153,155,154,153,166,165,166,166,166,166,166,165,163,109,94,138,99,78,128,58,65,92,87,92,58,21,100,169,155,157,156,154,167,166,166,167,167,166,165,168,152,92,66,127,103,119,126,106,109,108,135,105,47,25,138,164,158,158,156,155,167,167,168,168,167,167,167,169,152,127,123,95,47,137,126,115,125,112,122,96,56,48,163,161,160,160,158,156,168,168,168,168,169,169,168,168,164,149,111,74,41,71,102,91,95,91,85,84,74,46,135,170,160,160,160,158,169,169,169,169,170,169,168,167,165,137,97,62,53,50,69,80,79,74,65,96,89,61,64,168,162,161,161,160,170,170,170,170,170,171,169,167,157,119,84,59,57,76,81,110,119,114,95,103,104,95,45,115,174,160,162,161,171,172,172,172,172,172,170,164,158,130,97,67,69,76,100,139,139,153,140,114,142,116,63,60,171,163,163,162,173,173,172,173,173,173,172,162,158,133,99,64,65,85,119,150,151,162,166,147,131,115,60,54,169,165,164,162,173,174,173,173,173,174,173,156,156,144,107,73,71,87,122,158,159,166,157,141,121,89,41,88,178,164,165,163,173,173,174,174,174,174,174,152,156,152,114,86,80,83,132,164,168,167,148,129,110,72,33,139,175,166,166,165,174,174,175,175,175,175,177,151,149,153,124,94,82,88,139,169,168,159,140,119,102,54,55,174,168,168,167,166,175,174,175,176,176,175,178,156,136,143,125,97,84,94,148,166,157,149,130,105,88,38,105,181,166,169,167,167,174,174,174,175,175,175,178,169,133,143,131,100,94,100,153,157,147,138,116,92,67,38,157,176,170,169,168,168,173,173,174,175,174,174,174,177,145,141,136,114,112,96,149,147,144,123,101,81,40,79,183,169,171,169,167,167,173,173,174,175,174,174,174,179,160,137,137,127,112,88,130,137,135,111,82,59,32,150,175,168,168,168,167,166,174,173,175,175,175,175,175,178,168,142,134,120,106,89,111,120,108,84,61,26,96,183,169,171,169,169,168,167,174,175,175,175,175,175,176,178,170,149,137,119,102,91,100,109,87,62,37,42,170,175,173,172,170,169,168,167,174,176,176,176,176,175,177,179,160,151,138,123,110,103,97,104,90,59,24,105,187,171,174,172,170,169,168,169,174,174,175,175,176,175,177,176,146,149,141,134,131,117,105,96,82,51,34,148,180,173,173,172,171,169,169,161
21,60,67,79,91,98,105,109,113,116,117,120,125,126,129,130,132,133,135,136,137,137,137,138,139,138,138,139,138,61,69,81,93,100,106,111,112,118,140,90,98,132,129,131,134,135,136,137,138,140,140,140,140,140,140,140,140,62,68,83,95,102,108,112,113,124,152,81,80,136,129,134,136,137,138,137,140,140,141,141,142,142,142,142,142,63,69,84,96,103,108,113,115,125,149,90,77,134,132,135,137,139,139,139,141,144,144,143,144,143,143,144,143,66,71,86,98,104,110,115,117,124,144,95,73,131,134,136,137,140,141,142,140,115,137,147,145,145,145,144,144,66,74,88,98,107,112,115,119,124,145,106,73,128,137,137,140,141,141,146,125,73,116,153,146,147,147,147,147,68,75,90,99,108,113,117,121,124,144,112,73,120,140,139,142,143,147,142,110,75,139,151,147,148,149,149,148,69,77,91,101,108,115,119,123,122,144,114,74,106,144,139,142,143,151,132,89,96,157,147,149,149,149,149,148,69,78,93,102,108,115,120,123,123,153,121,77,99,145,140,141,148,146,119,79,133,155,150,151,151,150,150,150,70,79,96,104,109,114,119,123,124,161,128,85,100,145,140,144,146,130,97,93,155,150,153,152,152,151,151,151,71,82,96,103,111,115,119,123,123,149,117,84,94,147,141,148,145,123,74,126,157,151,153,153,153,153,153,152,71,82,96,104,112,116,124,137,109,126,99,73,90,148,141,146,144,104,86,155,152,153,154,154,154,154,154,154,72,84,98,106,112,111,145,169,109,93,76,64,86,134,134,140,131,76,125,159,153,154,155,155,155,155,154,154,73,85,99,106,113,113,140,147,105,71,58,64,93,125,130,126,92,81,156,153,154,155,155,155,155,156,155,154,73,87,100,107,109,136,155,113,99,76,49,56,81,110,114,100,65,122,160,153,155,156,156,156,156,156,156,156,74,89,100,107,113,173,150,136,114,104,62,50,73,89,100,83,77,153,154,156,156,157,157,157,157,156,157,156,76,89,102,105,131,149,143,160,150,119,75,54,66,75,87,65,109,160,153,156,156,157,157,157,157,157,157,157,77,92,103,104,145,132,138,157,155,100,67,59,58,70,71,58,135,159,156,157,157,158,157,157,158,158,157,157,78,92,101,108,155,124,109,94,118,94,73,64,59,58,63,60,138,159,155,158,158,159,160,160,159,158,158,157,79,94,101,117,151,106,95,93,105,104,82,64,59,59,60,57,135,161,156,159,159,160,161,161,160,159,159,159,80,95,99,125,156,126,122,101,102,132,88,72,65,61,58,58,140,161,158,159,160,160,161,161,161,160,160,160,82,96,98,129,153,138,120,98,156,168,102,90,76,58,57,60,146,160,158,160,161,161,161,161,161,161,161,160,82,96,98,129,164,140,110,117,176,150,110,92,79,58,54,71,154,158,159,161,161,161,161,162,162,161,161,161,83,97,100,126,159,122,114,125,162,126,101,84,79,64,51,88,161,156,159,160,161,161,161,162,162,162,162,162,85,97,103,120,146,118,126,119,151,121,109,82,72,64,48,104,163,156,159,161,161,162,163,163,163,163,162,162,86,96,103,116,132,132,140,118,152,121,108,97,66,60,50,115,165,156,160,162,162,163,164,164,164,164,163,163,84,93,103,110,132,150,126,114,151,114,94,86,64,57,54,133,159,156,160,161,161,161,162,163,163,163,163,163,84,93,103,108,126,146,127,107,129,102,79,68,59,52,59,143,156,155,158,158,159,161,162,162,163,163,163,163
3,63,57,13,43,65,77,85,94,101,105,109,112,115,117,119,121,123,125,128,128,130,132,133,135,136,136,136,137,69,52,14,49,69,80,88,97,102,107,112,114,116,118,120,122,125,125,126,131,131,133,135,136,136,137,138,139,75,48,16,53,71,81,90,99,104,108,113,115,117,119,122,124,126,133,93,126,135,135,136,137,137,138,140,139,76,40,18,56,72,82,90,99,105,109,113,116,118,119,123,125,130,146,87,111,138,135,137,138,139,140,140,140,77,32,24,58,74,83,91,101,106,110,113,117,118,121,124,126,132,144,84,111,139,136,138,139,140,140,141,141,76,26,31,61,75,84,93,102,107,112,116,117,120,123,126,127,136,147,85,115,139,136,139,140,140,141,142,142,75,20,36,63,77,85,95,104,108,113,117,120,124,122,122,123,144,137,82,118,142,139,141,141,142,143,143,143,71,17,42,65,78,86,97,105,110,115,116,118,118,148,135,103,137,117,76,120,143,140,142,142,143,144,144,144,66,16,47,68,80,89,98,106,111,113,131,137,110,125,155,116,93,108,75,128,143,142,143,143,144,145,146,146,58,17,52,69,80,90,100,107,112,110,137,165,144,97,122,126,96,118,81,137,141,143,143,145,146,147,147,147,50,19,55,71,82,92,102,107,114,149,135,105,136,113,90,148,128,112,75,133,145,142,145,146,147,147,148,149,41,22,58,73,84,93,103,106,122,159,147,107,87,125,87,90,103,117,77,96,146,144,146,147,148,148,149,149,33,27,61,74,86,94,104,105,130,136,99,124,109,110,115,56,79,131,124,86,115,151,146,148,149,149,150,150,25,33,63,76,86,95,106,104,136,131,73,88,90,82,91,87,83,117,139,90,110,154,147,149,149,150,151,150,17,38,64,77,87,96,106,106,139,132,112,91,67,79,91,104,88,122,140,84,125,154,149,150,151,152,151,152,14,43,66,77,87,96,105,106,148,142,110,82,72,89,108,109,97,140,145,85,137,152,149,151,152,152,152,153,13,48,67,79,88,96,105,108,147,132,95,79,81,98,118,120,134,155,134,83,141,151,150,151,152,153,153,153,16,50,68,80,89,97,107,108,145,138,106,88,83,104,124,142,160,145,121,81,142,151,151,152,153,153,153,154,19,52,70,82,89,99,107,107,144,144,114,93,88,103,135,162,160,132,99,88,151,152,153,153,153,153,154,155,23,55,71,82,90,99,107,107,141,151,127,98,94,107,150,161,154,131,82,94,156,150,153,153,153,154,154,154,26,56,71,82,90,100,107,108,135,151,128,108,102,111,156,160,146,126,76,104,157,151,153,153,153,154,154,154,29,59,72,81,90,99,106,111,124,142,131,123,113,114,151,153,136,119,71,123,157,151,153,153,154,155,155,155,33,60,73,82,90,100,106,111,117,137,138,128,123,111,138,138,124,103,75,142,153,152,154,154,154,155,155,155,37,61,74,83,91,100,106,112,116,140,142,131,119,106,120,124,117,97,89,155,151,153,154,154,155,156,155,155,40,62,74,82,91,100,106,113,115,151,147,128,114,103,114,113,117,84,121,156,150,153,154,155,155,156,156,156,43,63,74,82,91,100,107,113,118,159,147,130,118,108,121,112,103,80,144,151,152,153,154,154,155,156,156,156,46,64,75,83,91,101,106,112,121,158,154,142,116,120,128,105,80,92,152,149,152,153,154,155,155,157,156,156,49,65,76,84,92,100,106,112,121,159,161,143,115,126,121,99,70,104,154,150,152,153,154,155,156,157,158,157
21,53,62,77,93,102,111,116,120,124,126,129,136,137,140,142,145,146,148,150,151,151,151,152,153,153,153,153,153,55,65,81,95,104,112,118,119,127,155,91,102,145,140,144,147,149,150,151,153,154,154,155,155,155,155,155,154,56,64,83,98,107,114,120,121,135,170,79,79,150,141,147,150,150,152,151,155,155,156,157,157,157,157,157,157,58,65,84,99,108,115,120,124,135,166,92,75,147,144,148,151,153,153,153,156,160,160,159,159,159,159,159,158,60,67,86,102,109,117,123,125,135,160,97,70,144,147,150,151,154,156,158,154,123,151,163,161,161,161,160,160,61,71,89,102,113,119,123,128,135,162,112,70,139,151,151,155,157,156,162,136,70,124,171,162,164,164,163,163,63,73,92,103,114,121,126,130,135,160,119,70,130,155,153,157,158,163,158,116,73,153,169,164,165,166,166,165,65,75,93,105,114,123,129,133,132,160,122,71,111,160,154,158,159,169,145,90,99,176,164,166,166,167,166,165,64,76,95,106,114,123,129,133,133,171,130,74,103,161,155,156,164,163,128,78,146,173,168,169,168,168,167,167,66,77,99,109,115,122,129,134,134,181,140,86,104,162,155,159,163,143,100,95,174,167,171,170,170,169,169,168,67,81,99,108,118,124,129,133,134,166,126,84,96,164,156,165,162,134,72,136,176,169,171,172,171,171,171,170,68,82,100,109,119,124,135,151,115,137,102,70,91,165,155,163,160,110,87,173,170,171,172,172,172,172,172,172,69,84,102,112,120,118,162,192,116,95,74,58,86,147,147,155,143,73,135,179,171,173,174,173,173,174,173,173,70,86,103,112,121,121,154,163,111,67,51,59,95,135,143,137,94,80,175,171,172,174,174,174,174,175,174,173,70,87,104,113,116,149,174,120,102,74,39,48,80,117,122,104,60,131,180,171,174,174,175,175,175,175,175,174,71,90,104,113,121,197,168,149,122,110,56,41,71,90,104,83,75,172,173,174,175,176,176,176,176,175,176,175,73,91,106,111,143,166,159,180,168,128,73,46,61,72,87,60,116,181,171,175,176,177,176,176,177,176,176,176,75,94,107,110,161,145,153,176,174,104,62,53,51,66,68,51,149,179,175,176,176,177,176,176,178,178,177,177,76,94,106,115,174,135,115,96,127,96,70,59,53,51,58,53,153,179,174,178,178,179,180,180,179,178,177,176,77,96,105,125,169,112,98,96,111,109,81,59,52,53,54,50,148,181,175,178,179,180,181,182,181,179,179,178,78,98,103,136,175,137,132,105,107,144,89,69,60,55,50,51,154,181,178,179,179,180,181,181,181,180,180,180,81,99,102,140,171,153,129,102,175,190,106,91,73,51,49,53,162,180,177,180,181,181,181,182,182,181,181,181,82,99,102,141,185,155,117,126,201,167,116,94,77,51,46,68,173,177,179,181,181,181,181,182,182,181,181,181,83,100,104,138,179,132,122,135,182,136,105,84,78,58,42,89,182,176,179,181,182,182,182,183,183,183,183,182,85,100,108,130,162,126,137,128,169,130,115,81,69,58,39,109,184,175,179,181,182,182,183,184,184,184,183,183,86,99,108,124,145,145,155,127,170,131,115,100,61,54,41,124,186,175,180,182,183,184,185,185,185,185,184,183,84,96,108,117,144,168,137,122,169,122,97,86,59,50,46,146,179,175,180,182,181,182,183,183,184,184,184,183,84,95,108,114,137,163,138,113,141,107,78,64,53,44,52,159,175,174,177,178,179,181,182,183,183,183,183,183
14,217,219,219,220,221,222,223,223,223,223,223,222,222,223,224,222,224,224,225,223,223,223,222,222,222,220,219,221,219,220,220,222,223,224,223,224,226,224,223,224,233,222,219,227,226,223,225,224,225,225,225,224,224,222,222,221,220,221,222,223,223,226,227,229,226,225,238,240,231,180,180,238,226,227,227,227,226,226,226,226,227,224,223,223,221,223,224,225,226,226,227,225,227,255,245,207,173,154,143,199,223,222,227,227,228,228,228,226,226,226,225,224,223,224,226,227,228,228,224,233,255,255,190,146,143,136,148,182,209,172,183,233,228,229,229,228,227,227,227,226,224,225,227,228,228,226,234,255,255,212,158,133,148,129,138,167,182,145,189,237,229,232,232,230,229,229,229,228,226,227,229,229,229,224,255,255,211,155,131,133,138,125,130,135,153,140,197,235,235,233,234,233,232,231,230,229,227,229,229,230,231,228,255,255,188,125,110,114,126,145,156,136,167,198,190,177,216,237,233,235,234,232,231,231,228,229,230,233,231,241,255,255,185,134,120,123,116,130,137,118,131,176,183,141,214,241,233,236,235,233,233,232,228,229,231,235,230,251,255,237,160,125,130,142,114,124,133,142,143,149,140,137,214,234,239,236,236,235,234,235,233,233,234,236,229,255,255,243,176,128,131,143,127,137,151,160,150,136,161,169,171,163,229,242,236,238,236,236,233,234,236,237,233,255,255,254,199,153,130,125,139,144,119,133,142,177,177,167,162,176,192,234,242,239,238,237,235,236,238,235,243,255,255,251,196,160,139,122,150,141,168,213,231,248,240,224,198,222,180,227,245,240,240,239,235,235,238,235,251,255,255,252,196,156,143,129,142,130,227,255,243,241,245,234,207,217,179,235,244,241,241,239,235,237,241,237,255,255,255,255,210,165,138,136,125,167,252,241,244,243,249,219,201,213,175,240,244,242,241,241,237,238,242,237,255,255,255,255,216,174,137,131,131,236,249,245,246,244,251,215,201,215,165,225,249,243,242,243,237,240,244,238,255,255,255,255,221,178,145,118,158,255,243,247,248,246,255,205,185,208,170,193,254,243,245,244,239,241,245,239,255,255,255,255,225,183,153,112,199,255,246,251,247,253,226,194,204,203,174,182,255,245,246,246,241,244,244,239,255,255,255,255,228,183,160,118,161,228,242,241,254,237,179,199,210,197,163,223,253,246,247,246,242,243,245,241,255,255,255,255,225,187,168,138,115,133,152,158,187,181,180,199,201,177,198,255,248,248,247,247,243,244,248,243,255,255,255,255,224,201,183,149,128,140,144,161,170,172,181,195,183,175,248,253,249,250,250,248,243,245,248,245,255,255,255,255,229,217,193,163,133,150,163,173,179,183,174,179,164,228,255,251,252,250,250,249,246,249,249,245,255,255,255,255,241,225,194,166,146,153,169,174,178,180,176,151,194,255,252,255,253,252,252,251,247,249,250,250,255,255,255,255,254,228,195,169,154,149,169,173,173,176,165,166,250,255,255,255,253,253,254,254,248,250,250,253,255,255,255,255,255,228,191,164,154,149,164,170,168,167,162,243,255,254,255,255,255,254,253,254,247,249,249,255,255,255,255,255,255,215,168,149,147,148,164,163,172,151,217,255,254,255,255,255,255,255,254,255,251,255,254,255,255,255,255,255,236,181,136,137,137,145,154,161,157,181,255,255,255,255,255,255,255,255,255,255,237,222,202,206,204,186,180,160,144,126,110,107,118,138,147,148,170,252,255,255,255,255,255,255,255,255,255,255
23,86,97,115,123,128,133,138,141,143,146,148,152,153,156,156,159,161,162,163,163,165,167,168,170,171,172,173,173,86,98,116,124,129,134,139,143,145,148,149,154,155,157,158,160,160,162,163,163,168,168,170,170,171,172,173,173,88,103,119,125,131,135,140,143,146,148,152,154,156,159,160,162,162,163,165,164,169,170,172,172,173,173,174,175,91,105,120,126,133,136,139,143,148,151,154,155,156,161,162,164,165,167,167,168,170,170,172,171,174,177,176,176,91,107,122,127,134,138,142,146,149,152,155,156,157,161,163,164,166,169,168,168,168,171,174,178,176,177,178,179,93,108,124,129,135,139,143,146,150,152,155,158,161,162,163,165,168,167,170,174,159,160,164,119,164,181,179,180,96,111,125,129,136,140,144,148,152,155,157,159,162,163,164,165,165,177,187,171,142,128,103,86,174,181,179,181,100,115,126,131,137,140,145,150,153,156,159,161,162,165,165,171,183,178,172,124,84,115,122,169,184,181,182,184,100,117,128,133,139,142,146,149,153,156,158,161,164,165,161,199,182,139,108,87,147,161,188,184,182,184,185,186,101,119,128,133,137,142,147,150,153,155,159,163,164,165,164,206,184,104,96,187,178,92,163,185,182,185,186,186,102,119,127,133,138,143,147,151,155,157,161,164,165,165,172,210,186,162,207,198,151,109,134,197,184,186,188,187,104,120,128,135,140,145,150,152,155,157,160,164,165,166,180,207,191,209,194,164,150,163,126,144,155,191,187,188,105,122,128,134,140,146,150,154,156,158,160,164,168,166,181,194,188,190,178,185,185,170,115,68,90,175,195,189,107,123,129,134,141,146,150,154,157,159,161,166,167,170,182,179,173,185,191,180,166,146,97,51,54,120,200,191,109,124,130,135,143,147,151,155,157,159,165,165,174,191,182,168,170,176,168,163,165,138,82,48,55,66,120,192,111,125,130,136,143,148,152,155,158,161,164,161,197,212,176,171,171,171,167,159,139,116,80,52,46,77,71,145,112,125,131,136,142,147,153,155,158,160,164,162,183,216,189,189,167,133,112,95,99,123,78,48,41,74,77,164,114,126,132,138,142,148,154,157,160,160,164,165,176,210,192,176,151,132,85,29,100,130,77,50,63,79,106,200,115,127,132,139,144,150,155,158,161,162,165,167,180,203,176,164,176,121,67,50,118,101,48,48,85,79,153,204,117,128,131,137,145,150,155,160,163,163,167,168,178,207,174,181,178,107,39,47,54,28,39,64,88,98,197,197,119,127,133,138,144,150,155,158,161,163,167,168,179,201,177,188,166,122,62,10,16,39,72,84,75,141,204,195,120,128,134,140,144,152,155,157,161,164,166,168,182,196,179,193,168,121,80,22,45,75,91,94,89,186,197,196,121,128,134,140,145,153,156,160,162,164,168,168,184,195,184,191,168,123,92,41,60,88,97,85,129,206,193,198,121,127,134,142,146,151,156,160,162,166,170,169,188,194,188,188,162,125,91,44,68,94,97,76,159,205,197,199,122,127,134,142,147,152,156,160,163,165,170,170,190,197,181,176,157,124,92,61,67,94,90,85,189,199,198,199,122,128,134,143,146,151,157,161,163,166,171,170,188,195,174,168,151,123,95,75,68,91,75,122,206,193,197,198,122,127,136,143,146,151,157,161,164,167,170,171,189,193,175,169,147,126,103,80,71,81,79,182,201,197,198,199,120,127,135,141,147,152,157,162,164,166,171,170,198,192,178,169,148,130,108,82,76,72,138,204,195,200,200,200
2,195,197,198,200,200,200,200,199,199,199,197,197,197,196,196,194,193,192,191,192,192,191,188,190,173,73,63,76,197,199,200,201,201,200,201,201,200,201,199,199,199,197,196,196,196,195,193,192,192,191,188,195,156,61,68,85,199,200,201,203,201,201,202,203,202,201,201,201,198,197,198,195,188,194,196,196,193,192,192,194,172,84,75,82,201,202,203,202,204,204,203,203,203,203,201,200,201,204,205,173,113,133,167,130,193,197,193,191,196,111,80,84,201,203,205,205,205,205,206,205,204,203,205,214,210,191,150,117,86,78,108,78,149,200,193,192,199,126,69,68,202,204,207,207,206,207,207,208,205,211,222,221,166,110,91,81,71,74,79,81,70,161,203,192,201,160,62,46,203,205,207,208,208,208,209,210,206,218,220,177,113,63,68,72,59,64,70,75,58,154,207,196,196,198,78,29,205,207,208,209,210,210,211,209,211,238,179,100,81,63,57,66,70,65,75,94,142,200,198,199,196,201,135,91,206,208,209,208,210,212,213,206,223,233,145,80,77,76,67,71,64,135,190,200,208,200,201,199,197,200,157,142,208,208,210,211,213,214,213,207,240,214,134,86,75,78,67,83,156,208,208,203,200,202,203,201,197,208,109,141,209,209,211,213,214,214,211,219,239,186,113,69,68,68,66,136,224,204,206,205,203,204,203,201,200,206,119,174,210,210,212,214,215,215,211,233,232,174,120,84,82,68,63,146,219,207,208,207,206,205,202,202,202,204,168,153,212,214,215,215,217,215,217,247,224,163,114,94,89,84,63,176,217,209,209,208,206,206,205,203,203,202,201,166,214,216,217,217,217,214,231,250,204,147,104,88,86,86,87,200,215,210,210,209,207,207,206,205,204,203,200,189,214,216,217,218,217,213,246,243,190,136,95,85,84,85,89,204,215,212,211,209,208,208,207,206,205,204,203,194,216,216,217,219,216,217,255,235,182,129,94,86,88,88,96,211,214,212,212,210,209,209,208,207,207,205,202,199,215,217,219,221,214,234,255,219,171,122,92,87,90,81,96,222,214,213,214,213,209,210,211,212,209,208,209,203,216,218,221,220,215,254,247,204,159,113,87,85,80,80,69,162,227,211,213,215,216,211,193,179,165,155,162,201,218,220,221,215,226,255,234,190,145,108,88,77,75,80,83,83,214,226,219,211,184,161,161,157,154,141,92,151,221,221,223,212,242,251,220,175,137,106,86,67,72,79,87,72,129,192,180,157,155,160,168,154,125,126,128,174,220,223,216,219,254,243,212,167,129,103,80,62,80,87,89,93,82,101,136,160,175,165,131,101,139,198,210,208,219,221,208,245,254,236,201,163,124,95,73,68,95,101,111,110,110,117,144,162,144,112,88,153,217,210,206,206,221,208,231,255,247,228,194,156,116,94,71,80,104,111,121,118,117,122,129,112,109,149,190,215,208,207,206,204,209,221,255,245,234,218,188,147,109,94,74,93,109,114,119,117,108,94,92,144,201,220,216,210,209,208,206,205,214,242,244,239,228,209,178,132,103,94,82,107,117,119,111,101,80,100,180,222,219,213,213,214,210,208,207,206,238,234,233,227,209,184,156,115,100,87,89,107,113,113,90,81,159,215,222,215,215,214,214,214,211,209,207,206,233,230,220,200,176,160,125,99,88,86,95,99,104,84,80,177,229,219,215,217,216,215,214,213,211,209,209,208,234,225,203,176,156,145,107,86,84,91,88,88,83,106,195,227,215,217,217,217,216,215,215,214,212,210,209,209
10,93,102,118,125,130,136,140,143,147,149,151,155,155,157,159,162,167,167,168,168,170,174,175,176,176,176,179,180,94,105,119,126,131,137,140,143,149,151,152,156,157,158,160,164,145,165,170,171,173,175,175,176,178,179,180,181,96,107,121,127,131,138,141,144,150,153,154,156,159,161,166,181,115,144,176,170,175,177,178,178,180,181,182,181,99,111,124,129,134,138,143,146,150,153,155,157,161,161,174,188,122,122,178,171,176,177,179,181,181,183,184,183,101,111,124,130,135,139,144,149,151,154,156,160,163,162,173,187,135,110,177,173,178,181,180,181,183,185,185,186,100,114,127,132,135,141,146,149,151,154,157,158,164,167,167,187,151,108,171,177,178,182,183,182,185,186,186,187,102,114,128,131,136,144,147,148,152,156,156,171,144,148,172,194,170,109,157,183,178,181,181,183,186,187,187,188,104,117,128,133,139,145,148,151,154,155,157,180,142,93,169,191,175,117,135,188,179,182,182,184,187,188,188,190,107,121,129,133,140,144,149,155,161,159,171,166,138,73,144,189,170,120,121,188,180,184,184,188,188,188,190,190,108,122,131,135,138,152,148,137,133,132,157,183,152,100,113,193,153,118,109,188,182,185,185,188,190,190,191,192,108,121,130,135,136,161,132,90,75,73,76,158,174,120,80,174,130,116,100,184,184,186,188,189,191,192,192,193,111,125,131,137,141,143,118,86,64,83,81,111,178,139,79,146,105,112,93,177,187,188,190,190,192,193,193,194,112,124,130,134,141,147,146,140,128,100,80,91,176,154,91,109,85,105,85,166,192,188,190,191,193,195,195,195,111,124,131,138,143,150,148,180,195,121,56,115,188,162,103,68,79,101,88,151,195,189,192,191,193,194,194,194,114,126,131,138,146,148,146,182,187,127,50,106,207,160,118,65,76,101,89,129,199,189,192,192,194,195,194,195,115,127,132,140,141,162,176,177,197,139,38,114,222,159,125,74,75,96,87,109,199,191,193,193,195,197,197,197,117,129,133,140,137,176,197,171,187,136,43,163,204,160,116,74,64,88,82,92,198,192,194,195,195,198,198,198,118,129,134,140,141,158,195,165,174,131,130,215,175,163,117,77,67,83,71,110,202,190,193,195,197,197,197,198,118,129,134,139,145,148,165,142,154,158,201,210,173,155,125,83,71,79,63,157,199,192,195,196,198,197,197,199,119,129,133,139,145,148,164,138,157,202,219,203,175,145,120,88,73,68,78,189,192,193,196,197,198,199,200,200,121,130,133,138,146,147,178,181,150,190,220,193,169,142,118,89,74,57,112,201,190,193,195,197,198,198,199,199,122,130,134,138,147,144,191,202,150,164,219,192,170,138,119,92,73,55,151,199,191,194,195,198,199,198,199,199,123,129,136,142,148,146,197,206,172,189,211,190,171,140,120,97,70,71,186,191,192,194,197,199,198,199,200,200,121,129,134,141,148,147,207,218,182,195,207,190,172,142,122,99,60,110,201,189,193,196,198,200,199,199,200,201,122,128,135,142,148,146,205,213,190,195,198,196,185,145,120,98,58,152,198,190,194,195,196,198,200,201,201,202,124,128,135,142,148,146,197,204,181,196,193,198,192,151,118,90,71,184,192,192,194,195,197,198,200,201,201,202,124,127,135,142,148,149,184,188,183,195,194,198,189,148,117,76,109,199,190,193,195,197,199,200,200,200,201,202,123,130,136,143,148,151,172,185,195,205,191,192,183,144,112,70,153,198,190,193,195,198,199,200,200,200,201,203
7,160,164,168,172,174,176,177,177,177,179,180,180,180,179,179,178,178,178,177,177,176,175,174,168,178,183,190,194,165,169,173,176,178,179,180,181,182,183,183,183,183,182,181,180,180,179,178,178,177,176,175,175,176,162,189,195,172,175,178,181,183,184,186,187,187,187,188,187,186,186,185,184,184,182,181,180,179,178,177,177,172,165,191,195,177,180,184,187,189,190,192,192,192,192,192,192,191,190,189,189,187,187,185,184,183,181,180,179,182,186,185,192,183,186,190,193,195,196,197,197,198,197,197,197,196,195,195,194,193,192,190,189,187,185,183,182,181,172,165,187,187,191,195,198,200,202,202,202,202,202,202,203,202,201,200,199,199,197,196,194,192,190,188,185,184,175,173,191,192,196,200,203,205,207,207,207,207,207,207,207,207,206,205,204,203,202,201,199,197,195,192,190,188,185,186,197,197,200,205,207,209,211,212,212,212,212,212,212,211,210,209,208,208,207,205,203,201,199,197,195,193,191,194,204,202,205,209,212,214,215,215,214,212,213,213,214,213,212,212,211,211,210,209,207,206,204,201,199,197,194,197,208,207,210,214,216,218,217,209,191,176,183,192,197,196,194,192,190,193,199,203,205,206,206,205,203,200,198,200,210,210,214,217,218,217,213,200,167,134,141,161,173,171,170,168,161,155,161,167,170,180,189,199,203,203,199,201,212,214,216,216,215,213,208,195,163,134,134,143,153,154,156,157,148,135,139,144,145,153,163,181,187,196,169,176,210,213,214,214,217,216,210,194,160,129,130,139,147,148,149,152,144,132,129,133,140,144,152,166,167,169,112,136,200,217,217,218,221,218,210,190,153,117,119,133,147,152,151,151,143,137,133,140,147,140,141,147,157,155,106,100,145,221,220,219,221,218,209,190,148,114,116,123,131,138,141,141,138,133,130,138,147,141,139,142,155,162,130,89,82,222,221,220,221,219,212,202,160,110,100,98,97,120,141,146,144,144,146,147,141,128,124,123,127,134,114,83,71,223,219,217,219,213,208,206,166,109,92,91,89,112,155,199,207,201,193,169,129,92,85,84,85,86,79,73,70,217,212,210,209,200,198,193,155,110,95,97,98,95,109,171,184,152,126,100,76,62,58,58,64,65,66,69,69,211,208,203,198,193,191,186,152,106,88,93,103,101,93,97,88,70,65,68,65,58,56,55,56,58,60,64,63,203,200,195,192,190,191,190,157,103,73,68,87,96,91,84,69,58,53,60,67,59,52,53,55,56,59,52,38,191,188,189,187,186,184,178,149,102,76,66,73,85,93,91,68,56,55,51,60,63,54,47,49,54,57,37,19,180,174,171,167,163,160,148,124,98,83,72,65,55,63,68,51,47,58,52,50,59,61,50,43,45,45,38,30,167,157,144,137,133,132,125,103,86,73,57,62,44,37,51,52,43,52,56,49,51,57,56,44,40,39,39,37,151,145,132,127,130,138,122,84,61,57,41,54,51,32,41,55,48,44,55,54,48,49,54,49,39,37,38,38,131,144,149,160,179,168,105,73,54,49,38,43,54,36,32,50,54,43,49,55,50,45,46,49,40,35,37,37,125,187,207,218,206,133,77,69,56,44,39,34,49,44,26,42,55,47,45,50,50,44,40,43,42,32,33,36,91,162,176,175,141,84,66,58,48,45,37,28,38,48,27,31,51,52,46,46,47,43,37,38,41,34,28,31,67,126,136,123,95,68,61,54,40,45,38,22,30,49,32,24,45,54,48,46,44,41,36,35,38,37,27,27
5,114,121,128,136,144,151,157,161,163,168,173,175,178,182,185,185,200,174,177,200,198,200,201,201,201,202,203,201,114,122,129,137,144,152,159,162,165,170,172,179,183,184,188,187,222,151,145,206,199,202,202,202,203,204,205,204,116,123,131,139,147,155,160,164,168,169,182,173,181,189,185,206,212,114,163,207,200,203,204,205,206,207,207,207,117,124,133,141,150,155,161,167,169,171,220,142,157,198,184,232,169,101,192,206,202,205,207,207,207,207,208,207,120,127,133,143,151,154,165,169,166,189,211,117,166,196,202,239,135,126,211,204,206,210,209,209,209,209,210,210,120,129,135,141,160,178,146,173,161,218,171,105,188,190,236,201,116,166,216,207,210,210,211,211,211,213,213,212,122,129,136,138,178,194,115,172,170,234,153,125,193,211,228,138,121,203,210,209,208,211,210,216,214,214,214,214,122,129,138,138,184,215,113,168,185,207,129,151,197,234,202,115,147,217,205,213,237,221,167,208,218,216,216,215,124,129,139,142,178,255,135,149,200,185,121,172,205,242,190,127,182,216,221,236,226,240,170,193,224,217,218,218,124,129,140,150,160,255,213,164,189,195,150,169,223,225,165,134,201,222,252,202,186,241,139,203,223,220,221,220,125,131,141,153,149,244,255,239,192,178,156,158,212,190,148,160,224,241,198,132,183,232,119,197,230,222,222,223,128,132,143,153,157,182,255,255,226,167,139,133,152,148,155,200,234,226,171,112,207,225,120,160,236,223,224,224,125,132,145,154,165,162,199,255,230,179,133,119,122,125,151,207,193,177,137,147,232,205,135,128,230,226,227,227,126,133,146,155,165,173,166,255,244,188,155,125,120,119,138,172,172,136,118,209,241,223,150,131,228,228,229,228,127,135,146,156,166,173,167,255,255,201,177,139,116,117,126,149,151,108,177,231,240,231,160,141,234,230,231,230,128,137,147,158,168,174,171,255,255,218,194,151,117,116,123,149,169,176,209,208,238,228,155,146,237,231,232,233,128,136,149,160,167,176,171,255,255,232,199,148,116,111,130,174,206,217,212,180,189,224,149,157,242,231,233,234,128,138,150,160,167,177,170,255,255,235,200,158,122,108,150,204,213,210,202,171,149,167,131,167,244,232,235,237,129,139,152,163,168,179,168,240,255,234,210,173,133,134,165,199,205,196,184,156,133,132,114,186,243,233,237,238,129,141,154,163,170,178,169,223,255,240,214,180,138,138,180,188,191,170,164,142,128,117,164,233,237,238,240,240,129,141,153,162,172,180,170,225,255,243,200,167,140,122,160,167,167,146,143,131,119,176,239,237,239,240,239,240,130,142,154,164,172,182,168,231,255,220,176,146,131,126,142,153,148,132,126,122,193,242,235,237,241,241,241,240,130,143,155,165,173,184,168,240,255,211,172,139,138,142,134,143,132,122,116,193,243,235,238,239,241,241,242,240,130,144,156,166,175,176,196,248,255,223,183,141,149,153,130,129,120,110,188,242,235,240,241,242,242,242,243,242,131,144,156,168,170,200,255,255,233,200,175,150,150,143,121,117,97,166,242,234,238,241,242,243,243,243,243,244,132,143,157,163,183,255,255,255,255,224,161,138,137,132,118,109,107,225,238,235,240,243,244,243,243,245,244,245,131,143,155,162,244,255,255,251,239,236,214,172,133,117,108,94,127,242,232,236,240,242,244,244,245,245,245,245,131,145,148,207,255,253,253,235,230,213,214,205,158,125,118,106,106,206,235,235,238,241,241,242,244,244,244,245
14,135,138,142,145,148,151,153,155,157,159,161,163,165,166,166,167,168,170,171,172,173,173,174,175,175,175,176,176,136,139,143,146,149,152,154,156,158,159,162,164,166,167,165,166,169,170,172,174,174,174,175,176,176,176,176,177,137,140,144,148,150,152,155,157,159,160,162,164,166,164,149,146,157,163,170,172,174,176,176,176,176,176,178,178,138,141,145,149,151,153,156,158,160,163,167,167,163,151,122,116,141,154,159,149,158,177,178,177,177,177,178,179,139,141,145,149,151,154,157,160,166,174,171,154,137,123,107,105,129,145,139,115,132,173,179,180,180,180,180,180,140,143,146,150,153,155,158,168,182,179,153,115,94,93,99,103,117,125,120,101,110,160,178,181,182,182,181,181,141,144,148,152,154,156,163,185,182,155,120,87,69,75,89,98,114,119,122,123,119,142,168,181,182,182,182,182,141,144,148,152,155,157,172,189,156,113,86,79,74,85,90,82,96,110,121,134,136,127,141,178,183,183,183,183,143,146,150,153,155,160,183,180,131,86,72,75,77,93,90,84,96,107,119,123,122,107,117,167,183,184,184,184,144,147,150,153,156,167,190,165,114,76,68,70,73,82,82,95,104,98,124,138,133,119,114,138,174,184,185,185,144,147,150,153,157,177,186,145,97,72,72,76,76,73,78,96,103,114,159,176,168,147,127,122,148,175,185,185,144,148,151,155,163,187,173,130,96,82,79,82,81,82,85,87,110,153,180,184,183,173,152,138,132,167,186,186,145,149,152,156,174,194,167,128,103,86,79,80,82,88,89,92,141,179,184,184,185,173,158,139,132,175,187,187,145,149,153,159,187,195,162,125,98,82,77,78,82,87,88,111,168,184,185,186,182,165,153,127,142,183,188,188,145,149,153,161,192,189,154,119,90,77,76,78,83,84,83,121,176,184,186,186,175,158,146,116,142,186,189,189,146,150,154,164,195,184,147,111,84,76,77,81,85,81,80,113,168,184,185,178,158,151,142,114,137,185,189,189,146,151,154,169,198,179,144,110,85,78,80,85,88,89,95,109,140,165,171,165,158,155,139,117,146,186,189,189,147,151,155,177,200,176,142,110,87,78,80,88,94,103,114,122,125,131,148,159,163,153,134,139,174,189,189,189,147,151,156,184,199,173,141,110,89,80,82,91,102,114,126,134,134,133,151,160,155,141,145,174,189,190,190,190,147,151,157,189,195,170,141,114,93,82,84,96,113,127,138,141,140,139,148,150,137,144,175,190,192,192,191,190,147,151,160,192,191,167,141,117,97,85,86,104,128,140,148,147,142,136,131,128,136,171,190,192,192,192,191,191,147,151,163,192,185,164,141,120,101,87,88,112,139,147,149,148,143,129,114,127,166,187,191,192,192,192,192,192,148,152,167,190,178,160,143,124,105,90,91,118,144,147,145,144,137,121,128,165,187,191,192,193,193,193,193,192,149,153,171,189,174,161,147,128,109,95,93,118,143,143,135,134,125,131,168,188,191,192,193,193,193,193,193,193,148,154,178,191,176,165,150,129,112,99,93,111,133,132,124,121,127,163,188,192,192,192,193,193,193,193,193,193,148,157,188,194,180,168,149,128,111,98,91,103,118,118,118,120,156,185,191,192,193,193,193,194,194,194,194,194,149,163,196,193,182,166,140,120,105,94,92,99,105,108,125,155,182,189,191,193,193,194,194,194,194,194,194,194,149,172,197,188,178,158,129,112,100,92,94,96,95,111,153,182,189,190,191,193,194,194,194,194,194,194,194,194
21,101,110,125,141,150,159,165,169,173,174,178,185,186,189,191,194,195,197,199,200,200,201,201,202,202,202,202,202,102,113,128,143,153,161,167,168,175,204,140,150,194,189,193,196,198,199,200,202,204,204,204,204,204,204,204,203,103,111,131,146,156,163,168,170,183,219,127,127,199,190,196,199,199,201,200,204,204,205,206,206,206,206,206,206,105,113,132,148,157,163,169,172,184,215,140,122,196,193,197,200,202,202,203,205,209,209,208,209,208,208,208,207,108,115,134,150,158,165,171,174,183,209,145,117,193,196,199,200,204,205,207,203,172,201,212,210,211,210,209,210,109,119,137,150,161,168,171,177,184,211,160,118,188,200,200,204,206,205,211,185,117,173,220,211,213,213,212,212,111,121,140,152,162,169,174,179,184,209,168,118,179,204,202,206,208,212,207,165,121,203,218,213,214,215,215,214,113,123,141,153,163,171,177,182,181,209,171,118,160,209,203,207,208,218,194,138,147,225,214,215,215,216,216,214,112,124,143,154,163,171,178,182,182,221,179,122,151,211,204,206,214,212,176,126,195,223,217,218,218,217,216,216,113,125,147,157,164,171,177,183,183,231,189,134,152,211,204,209,212,191,149,143,223,217,220,220,219,218,218,217,115,129,147,156,166,172,178,182,182,216,175,132,144,213,205,214,211,183,119,185,226,218,221,221,221,221,221,219,115,130,148,158,167,173,184,201,164,185,151,118,139,215,205,212,209,158,135,223,220,220,221,221,221,222,222,221,117,132,150,160,168,166,211,242,164,143,122,106,135,196,196,204,192,121,184,229,220,222,223,223,223,223,223,222,118,134,151,160,170,169,203,212,159,115,99,106,143,184,191,186,143,128,224,220,222,224,224,224,224,224,223,223,118,135,152,162,165,198,223,169,151,121,87,96,128,165,170,153,108,180,230,221,223,224,224,224,225,225,224,224,119,138,153,161,169,246,217,198,171,158,104,88,118,138,153,131,122,221,222,224,224,225,226,226,226,225,225,225,121,139,155,159,192,216,208,230,217,176,121,93,108,120,136,108,165,230,221,224,225,226,226,226,226,226,226,226,123,142,156,158,210,194,202,226,223,152,110,100,99,114,115,98,198,228,224,226,226,227,226,225,227,227,226,226,124,142,154,163,224,183,164,145,176,145,118,106,100,99,105,101,202,229,224,227,228,228,229,229,228,228,227,226,125,144,153,174,218,160,147,144,159,157,129,107,100,100,101,97,197,231,225,228,229,230,231,231,230,229,229,228,126,146,151,185,224,186,181,154,155,193,137,117,108,103,98,98,203,231,227,229,229,230,231,231,231,230,230,229,129,147,150,189,221,202,178,150,224,239,155,140,121,98,97,100,211,229,227,229,230,230,231,231,231,230,230,230,130,147,150,189,235,204,165,174,251,216,165,142,125,98,93,115,222,226,228,230,231,231,231,232,232,231,231,231,131,148,152,187,228,181,170,184,232,185,154,132,125,106,89,137,232,225,229,230,231,231,232,232,233,233,232,232,133,148,156,179,211,175,186,177,218,179,163,129,116,106,86,158,234,225,229,230,231,232,233,233,233,233,233,232,134,147,156,173,194,194,204,176,219,179,163,148,109,102,88,172,236,225,230,232,233,234,234,234,234,234,234,233,132,144,156,165,193,217,186,171,218,171,145,134,106,97,93,195,229,224,229,232,231,231,232,233,233,233,233,233,132,144,156,163,186,212,187,161,190,155,126,111,100,91,100,208,225,223,227,228,229,231,232,233,233,233,233,233
8,148,148,149,152,153,153,152,152,151,150,150,149,149,149,148,146,145,145,144,143,142,141,141,140,138,136,134,134,151,151,152,153,154,153,153,154,153,152,151,151,153,149,148,147,147,146,146,144,144,143,143,141,139,137,135,135,153,153,153,155,155,154,154,153,154,154,153,147,141,151,149,149,148,149,148,146,144,144,143,142,140,138,137,137,153,154,155,156,156,157,156,154,154,153,157,144,92,143,155,151,151,150,148,147,146,146,145,144,142,140,139,137,154,155,156,157,158,157,157,157,157,153,164,131,69,138,157,153,153,150,149,149,148,148,147,146,145,142,140,138,156,157,157,159,160,158,158,159,159,156,168,108,68,152,156,154,153,151,151,150,149,149,148,147,145,143,142,141,157,159,159,160,162,161,160,161,159,164,171,100,80,161,154,155,154,154,153,151,150,150,148,147,146,144,143,142,158,160,160,160,161,162,162,162,157,171,166,92,95,164,154,158,159,152,153,152,151,150,149,149,147,145,144,142,159,160,161,161,162,162,163,162,158,175,153,77,106,167,159,136,136,162,155,152,151,150,149,149,148,146,145,143,160,161,162,163,163,163,163,164,160,180,150,105,121,163,168,139,96,128,152,159,153,151,150,150,149,147,146,144,162,163,163,163,164,164,165,165,163,182,151,131,132,159,161,165,132,96,99,111,156,157,157,153,150,148,147,146,163,163,164,165,165,166,167,165,165,177,157,139,145,175,139,171,156,147,130,66,80,115,107,151,152,148,148,147,164,165,165,165,166,167,168,164,174,173,141,149,162,164,133,121,154,143,129,85,32,42,38,82,161,148,149,148,164,166,166,167,167,168,168,167,173,152,139,143,152,151,121,70,98,163,131,95,40,29,39,42,149,153,151,148,165,167,168,168,169,169,167,177,172,133,120,122,144,139,94,54,37,172,144,101,43,44,49,47,153,153,151,150,166,168,168,169,170,170,168,190,179,149,112,85,136,123,76,51,61,170,154,104,45,34,27,100,163,152,152,150,167,168,169,170,172,168,178,197,173,146,120,92,127,150,131,152,156,144,139,102,58,13,63,160,154,154,153,151,168,170,171,170,173,169,189,190,161,150,124,111,89,164,180,154,158,128,109,102,61,45,153,162,156,156,155,154,169,171,172,172,173,173,195,181,162,152,111,97,138,178,166,133,147,131,85,98,44,104,172,158,159,158,156,153,169,172,173,173,171,178,198,179,164,147,110,136,181,173,156,131,128,126,71,72,32,140,167,160,160,158,156,154,171,172,173,172,175,182,195,181,166,144,126,165,174,165,147,121,114,109,68,41,56,170,162,162,161,158,158,157,172,173,174,177,155,182,194,180,159,140,128,157,157,147,134,110,111,85,53,21,110,174,162,162,162,160,158,156,171,171,179,161,51,91,168,164,138,126,131,136,150,135,119,104,90,59,33,34,161,166,165,162,161,160,159,157,173,173,179,81,45,38,62,135,146,135,131,129,149,129,105,84,55,42,14,106,174,164,166,163,162,161,160,158,170,185,126,40,45,44,37,44,101,130,121,127,138,105,78,59,47,21,63,174,166,167,166,163,162,161,160,159,181,161,57,43,41,38,42,24,8,40,54,91,113,75,47,42,21,47,163,171,168,168,166,165,163,162,160,160,176,85,38,44,38,34,36,40,0,14,14,14,28,35,28,16,69,164,172,167,167,167,166,164,162,161,160,159,110,37,42,40,36,30,33,38,0,4,17,8,1,3,0,51,180,169,168,167,166,167,165,163,162,160,158,157
4,188,192,197,200,203,205,208,209,211,213,212,214,216,218,219,218,217,217,218,216,216,217,215,215,215,214,214,214,189,193,198,202,203,204,206,210,212,213,214,216,217,217,218,220,221,216,221,221,218,217,216,216,216,216,216,215,190,195,199,202,204,205,208,211,212,215,215,217,216,228,225,201,206,233,211,206,222,220,218,219,218,217,215,215,192,198,200,203,206,208,210,212,214,212,222,214,221,255,221,198,182,251,208,172,193,225,222,221,220,219,216,216,194,198,200,204,206,209,211,214,211,237,255,231,201,255,231,194,207,255,213,166,157,221,186,217,223,219,218,218,196,199,202,206,208,210,213,215,210,255,255,255,179,222,251,181,221,255,210,155,217,212,150,159,226,217,217,218,195,200,206,206,211,212,214,213,226,255,255,246,170,206,253,178,221,248,196,206,235,176,148,119,205,224,218,219,197,202,206,208,212,213,216,209,249,252,249,234,155,185,225,227,223,232,255,255,217,145,129,118,203,226,220,221,198,201,206,210,213,214,217,210,255,244,232,235,154,157,211,223,247,255,255,254,225,172,122,115,215,225,222,223,197,202,208,211,213,217,214,230,255,242,209,231,160,134,207,152,189,230,237,221,236,192,133,125,225,225,223,223,198,203,207,210,212,218,211,255,255,214,198,181,133,139,212,131,168,217,187,222,246,207,143,152,233,225,224,224,200,204,208,213,214,216,217,255,248,201,181,176,149,153,173,139,162,212,123,230,255,224,161,153,235,225,226,224,202,205,209,213,215,215,224,255,249,201,173,159,144,156,151,163,169,189,170,228,255,240,182,128,213,231,226,226,202,206,210,213,218,214,237,255,248,202,169,153,148,161,160,203,201,227,255,239,254,233,186,135,172,238,225,228,202,206,211,213,219,214,251,255,248,194,170,167,157,150,164,210,225,255,248,250,217,204,196,149,164,238,227,229,201,207,212,215,220,213,255,255,247,192,191,188,159,156,203,249,255,255,247,232,198,171,183,141,191,238,230,229,201,206,209,213,218,212,255,255,245,213,225,197,179,230,255,255,255,255,240,210,182,158,147,143,225,230,229,229,201,206,210,212,218,214,255,255,255,246,242,200,208,255,255,255,255,239,222,196,174,152,127,188,238,228,229,229,202,206,211,214,219,215,255,255,255,251,239,218,212,255,255,255,255,215,205,185,170,139,145,232,231,231,231,231,202,207,211,214,220,214,255,255,255,255,234,222,224,255,255,255,237,203,187,177,158,127,197,240,232,231,231,231,203,209,211,216,221,214,250,255,255,254,235,223,230,255,255,234,214,191,184,172,134,151,238,234,235,232,232,231,204,208,212,215,220,215,249,255,252,246,244,228,227,242,239,220,195,183,182,156,126,211,240,232,233,234,231,230,202,206,212,214,221,216,244,255,239,244,246,223,216,241,237,216,184,171,170,135,175,242,233,233,231,232,231,229,203,209,215,217,222,220,239,255,240,243,237,219,206,238,239,200,165,160,151,157,236,240,239,239,238,237,237,235,174,176,177,177,180,175,202,255,252,250,232,223,201,228,230,181,155,154,138,158,182,176,176,176,174,174,174,177,135,132,131,132,135,126,157,255,255,255,241,233,202,217,229,180,151,141,136,127,125,124,124,122,122,123,121,117,144,143,142,144,146,144,152,255,255,254,241,237,201,199,234,186,147,135,132,136,137,136,134,133,134,132,129,203,144,144,144,145,145,144,140,255,255,248,231,233,203,187,225,182,143,133,130,136,138,137,134,134,137,123,208,255
18,115,118,121,124,127,129,133,136,138,139,143,144,145,147,149,149,149,149,150,148,149,150,150,151,151,152,152,152,117,121,122,125,128,131,135,138,141,143,145,146,147,149,149,149,151,151,154,156,150,153,153,153,154,154,154,154,119,121,123,127,130,134,136,139,144,145,146,148,150,151,154,154,152,142,116,133,163,154,153,160,154,156,157,157,120,122,126,128,133,136,137,141,145,145,150,151,152,152,150,148,175,140,96,62,119,122,99,128,165,157,159,159,120,124,128,132,135,137,139,143,145,148,151,153,155,154,118,91,142,121,64,63,37,101,99,57,133,167,159,161,123,126,128,133,136,139,144,145,149,150,152,146,163,173,111,84,124,101,51,52,34,96,121,65,65,172,160,161,126,128,131,135,139,142,146,148,151,152,158,118,98,149,136,111,133,108,87,79,60,67,96,69,51,167,163,163,127,130,133,137,141,145,147,150,152,157,173,135,103,83,142,124,108,134,126,125,115,81,52,46,55,169,165,165,128,132,134,138,141,145,148,152,152,164,166,165,140,85,87,128,85,110,145,137,137,102,46,18,56,173,166,166,130,133,136,140,143,146,150,152,155,164,131,159,138,109,51,85,98,59,113,137,131,96,55,19,56,178,166,168,131,135,138,142,146,150,153,152,156,166,96,94,123,90,33,44,87,43,46,98,121,111,75,24,73,181,166,170,132,136,139,143,147,151,153,155,157,168,119,85,109,58,23,28,60,35,18,47,131,132,93,35,65,184,167,172,133,137,140,144,147,151,153,155,157,173,151,109,97,57,26,18,52,29,7,22,125,152,108,64,32,156,176,170,134,138,142,145,148,151,154,157,159,173,142,97,81,59,30,12,58,37,0,99,157,165,132,81,29,72,184,171,136,139,143,146,150,153,156,159,159,168,162,135,97,64,38,28,40,16,82,175,172,158,127,79,48,55,180,174,138,140,143,147,150,154,158,162,160,171,169,141,100,67,50,44,34,74,166,187,180,158,114,71,45,73,185,173,137,140,146,148,150,154,158,162,161,172,172,147,109,82,68,71,73,140,182,189,165,143,105,59,33,95,188,172,139,142,146,148,152,156,158,162,163,169,172,154,125,105,95,73,84,151,181,182,147,115,85,55,28,122,188,175,138,143,145,149,152,157,159,162,162,167,169,156,134,110,98,82,84,137,183,175,136,107,72,50,33,142,187,178,138,141,147,151,153,156,160,165,165,165,167,158,137,110,104,106,81,124,182,165,122,91,63,44,42,164,183,179,137,141,147,150,152,156,159,161,166,166,163,156,142,120,127,117,81,105,181,145,110,75,55,38,59,181,181,181,137,141,145,148,151,155,160,159,164,167,160,152,145,130,122,124,89,91,167,129,94,63,48,33,81,191,178,181,138,142,146,149,152,154,161,161,163,165,163,153,147,133,120,119,95,75,147,117,73,55,48,30,104,189,177,181,140,144,148,150,152,157,161,162,164,168,166,161,156,135,117,106,85,59,125,95,56,47,47,38,149,184,180,181,140,144,148,151,153,158,160,163,165,167,160,173,154,124,102,84,55,56,99,72,55,51,36,86,188,181,181,182,140,144,147,151,154,157,160,162,166,164,159,179,149,118,97,67,58,61,91,67,55,50,42,150,184,179,181,182,140,145,147,151,155,159,160,162,167,161,166,180,154,128,110,82,69,73,90,58,61,29,88,189,179,180,181,182,139,144,146,150,154,158,159,161,165,158,167,172,160,137,124,86,62,89,80,60,49,26,137,184,177,181,181,182
23,165,168,171,174,177,179,181,184,185,187,187,190,190,191,191,193,193,194,196,196,197,199,200,200,199,200,201,201,165,169,173,175,178,180,182,184,185,188,188,189,191,192,194,195,195,196,198,201,199,200,200,200,201,200,201,202,167,170,173,176,179,181,182,184,186,188,189,191,193,193,192,195,189,193,196,178,196,202,201,202,202,202,204,203,168,170,174,177,180,182,183,185,187,188,190,192,192,192,199,200,187,179,159,126,197,204,202,205,203,204,205,204,169,172,175,178,181,182,184,187,188,190,192,190,193,201,205,186,143,142,135,175,206,202,203,205,205,205,205,205,169,173,175,178,181,182,185,187,188,192,190,198,210,192,182,137,142,182,201,208,203,204,206,205,206,206,206,206,170,173,176,178,182,183,185,188,189,192,188,210,214,164,128,160,205,156,183,207,202,206,207,206,207,207,207,207,170,173,177,180,182,184,185,187,190,193,189,212,217,172,182,226,195,153,155,214,206,206,207,207,207,208,209,209,170,174,177,180,183,184,185,188,190,193,192,218,212,211,224,202,180,188,166,182,193,207,207,207,208,209,209,209,170,175,177,181,183,184,187,190,192,193,195,215,208,215,205,204,205,196,165,121,131,194,210,208,209,210,209,210,172,176,178,182,183,185,188,192,192,193,198,203,198,202,204,200,193,186,149,110,102,156,220,209,209,210,210,210,172,176,179,182,184,186,187,191,191,202,205,194,190,199,198,193,190,174,138,111,106,118,170,214,209,210,210,209,171,175,179,182,184,186,188,190,194,226,212,196,201,191,184,175,156,158,141,112,101,120,118,177,217,209,210,209,171,176,180,183,185,186,189,192,192,221,221,209,203,177,151,115,115,170,140,110,93,121,120,170,219,210,211,211,172,176,180,182,185,187,189,192,193,214,218,204,190,178,151,103,119,172,136,107,107,127,132,206,213,211,212,212,172,177,180,184,186,187,189,192,193,215,219,197,210,174,115,95,141,132,100,99,128,130,161,218,211,213,213,213,172,177,181,185,186,187,189,192,192,214,214,206,203,164,119,84,99,80,91,109,134,134,201,214,212,212,212,213,173,176,181,183,185,187,190,193,193,214,212,212,200,164,131,77,77,97,120,129,126,158,218,211,213,213,212,212,174,178,181,183,186,188,190,193,194,216,211,213,199,162,136,92,93,123,137,141,125,192,218,212,214,213,213,212,175,178,181,184,187,189,191,193,196,216,213,211,194,162,138,99,106,132,140,133,151,219,211,214,214,214,213,214,175,178,182,185,187,189,191,193,197,217,211,204,187,159,136,105,112,137,141,125,179,220,212,214,215,215,214,215,174,177,182,186,186,189,192,193,200,217,202,196,183,157,137,117,114,138,136,127,204,215,213,214,214,215,215,215,174,178,182,186,187,189,192,193,201,215,200,193,179,159,143,124,117,135,126,152,220,212,214,215,215,216,216,217,175,179,182,186,187,189,193,192,204,215,201,196,179,163,148,128,120,128,126,200,216,214,215,216,216,217,217,217,175,179,183,186,187,189,194,192,209,216,201,193,180,168,146,128,123,117,175,218,212,215,215,215,217,218,217,217,175,179,183,186,189,191,192,194,215,210,199,187,177,163,135,129,117,168,218,213,215,214,215,215,217,218,218,217,175,179,183,186,188,193,190,206,217,205,196,179,163,150,134,120,151,219,213,214,214,215,215,215,217,218,218,217,175,180,184,186,187,191,189,214,210,204,192,174,157,148,134,119,199,217,213,215,215,215,217,216,217,218,218,218
13,125,126,132,138,142,144,148,151,153,154,156,157,159,160,161,161,162,162,161,162,162,161,162,161,160,159,157,158,126,127,133,138,143,145,148,151,153,155,157,158,160,161,161,162,162,162,162,163,164,163,162,162,161,161,158,158,127,128,134,139,144,147,149,152,155,156,159,159,161,162,163,162,164,163,164,165,166,165,164,163,163,161,160,160,127,129,136,140,144,147,150,154,155,158,161,159,161,160,162,166,164,165,165,166,166,165,164,164,163,162,162,162,127,130,136,142,146,149,152,155,157,158,160,161,193,175,128,152,169,164,167,169,166,166,166,165,165,164,163,162,128,130,136,142,147,150,152,155,157,157,158,171,223,202,145,123,174,170,147,148,170,166,167,167,167,165,163,163,128,132,136,142,147,151,154,156,154,167,163,158,217,206,168,121,138,155,127,87,153,172,167,168,167,166,165,164,128,132,137,141,147,152,154,151,172,206,164,134,172,179,153,92,121,118,96,74,120,177,166,168,167,167,167,166,129,132,138,143,148,149,167,153,178,213,176,130,149,168,137,90,131,103,77,71,115,178,167,169,169,168,168,167,130,134,140,145,146,159,210,159,126,195,194,145,116,174,173,159,148,121,74,57,120,179,170,169,169,168,168,167,131,135,141,147,141,186,213,174,128,152,200,156,92,101,168,173,158,159,128,61,134,179,171,170,170,169,168,168,132,134,140,146,147,190,196,187,143,113,188,160,114,41,90,127,154,172,174,114,141,180,171,172,172,171,170,168,130,133,138,142,150,194,180,184,152,100,154,178,124,54,50,71,142,194,194,169,110,162,174,171,170,169,169,168,129,133,139,139,164,212,178,176,165,108,103,182,129,59,54,136,173,172,176,168,113,117,180,171,171,170,169,169,130,134,141,138,197,208,168,153,164,125,69,156,152,106,153,193,178,172,151,133,134,95,165,175,173,171,170,169,131,135,142,138,202,209,179,141,137,160,96,126,191,200,195,177,168,163,138,116,120,98,160,176,172,172,172,170,130,134,141,139,206,214,189,176,154,158,176,191,206,205,182,168,166,142,124,106,92,125,177,172,172,173,172,170,127,133,139,140,208,218,198,187,174,159,182,203,203,198,174,154,146,129,118,90,98,167,174,172,171,171,170,169,131,136,142,140,202,218,203,187,173,161,177,199,199,183,160,138,128,127,104,89,156,182,177,177,175,174,173,173,115,115,121,111,178,218,204,192,176,167,179,197,183,155,143,133,131,115,89,95,126,123,123,121,120,120,119,119,87,88,92,78,131,217,203,194,179,173,177,191,173,143,129,135,126,99,88,85,81,79,79,78,78,77,76,76,95,97,97,93,106,206,197,193,180,168,169,188,174,135,118,121,104,89,90,91,91,89,87,87,86,85,85,85,94,95,97,98,94,190,190,193,186,170,164,185,170,121,107,105,91,88,91,88,89,90,89,87,86,86,86,85,97,98,97,99,88,176,192,197,194,177,159,178,168,119,105,95,88,92,91,89,88,89,89,88,87,88,86,85,98,100,99,101,86,164,200,205,202,186,156,170,171,124,101,88,88,93,91,89,88,88,89,87,86,87,85,85,97,99,99,103,90,141,209,207,202,184,156,163,172,126,97,84,88,94,92,90,89,90,88,86,88,87,86,79,98,99,98,98,95,112,202,198,181,168,155,156,165,126,97,82,90,93,91,90,90,92,88,86,88,88,79,143,98,98,99,99,99,98,192,194,164,162,165,149,155,130,98,81,88,94,92,90,90,93,88,86,88,80,120,201
3,132,135,135,135,135,136,137,136,137,136,136,136,135,134,132,131,129,121,130,126,126,125,122,121,118,117,115,113,136,138,138,139,138,138,139,140,139,139,141,140,138,137,136,135,141,77,108,136,129,127,126,125,122,121,118,116,139,142,142,142,143,143,143,144,143,143,144,145,143,142,140,140,132,58,77,145,131,131,130,129,127,124,122,119,144,145,146,145,147,147,148,149,149,148,147,146,147,146,144,143,131,56,58,146,136,136,134,132,130,128,125,123,149,149,149,151,152,152,152,153,152,151,151,150,149,149,148,148,130,51,50,149,139,139,138,136,134,131,129,126,152,153,153,153,154,156,155,155,155,154,154,154,154,153,151,150,130,58,46,148,142,141,140,139,137,135,131,129,155,156,157,157,157,158,158,159,158,158,158,157,157,156,153,155,140,67,40,147,147,144,142,140,140,138,135,133,158,159,160,160,160,161,161,161,161,161,160,161,160,159,157,156,136,52,40,153,149,147,145,144,143,141,139,136,160,162,163,163,163,163,163,162,162,161,163,163,163,162,161,155,124,68,48,142,154,149,148,147,146,144,142,138,162,162,163,165,165,166,166,165,165,165,166,166,165,165,163,158,138,98,43,125,161,152,152,150,148,147,143,140,163,165,165,166,166,168,168,168,168,168,169,168,167,166,166,159,142,96,30,112,166,152,153,153,150,148,146,142,166,166,167,167,167,168,170,169,169,169,169,170,168,169,167,163,153,97,34,83,173,152,155,154,152,150,148,145,168,168,169,169,168,169,170,171,171,170,171,172,173,165,147,134,127,124,73,103,147,167,156,155,153,151,149,146,169,169,169,170,171,171,172,173,173,172,175,174,165,156,147,94,48,106,118,149,72,132,167,157,156,154,151,148,170,170,171,172,173,173,174,173,174,176,168,149,97,111,149,93,44,59,121,120,44,16,102,167,156,155,153,150,172,172,173,174,175,176,175,175,177,168,157,140,87,56,109,122,70,39,93,102,52,21,25,153,162,156,154,153,173,173,174,175,176,176,175,177,175,159,143,117,112,90,70,130,83,31,36,65,68,30,19,140,167,157,157,154,174,174,174,175,176,176,176,178,171,150,114,71,95,97,52,92,97,36,24,46,86,44,11,129,170,158,157,155,173,174,174,175,177,178,179,180,175,149,131,69,34,74,14,48,91,23,28,43,93,80,13,104,174,159,159,157,173,174,174,176,177,178,180,179,182,153,121,92,59,38,15,43,51,6,37,87,109,96,19,107,175,160,161,158,173,174,175,175,176,177,178,179,184,153,132,126,88,46,46,68,57,45,117,126,109,60,39,161,165,161,159,155,174,175,176,176,178,179,179,179,183,161,125,126,100,68,58,83,132,139,148,111,79,23,101,177,157,159,162,164,173,173,174,176,177,178,179,178,183,171,122,123,104,75,61,69,139,137,120,87,46,22,149,173,171,171,149,110,180,180,181,181,182,183,184,184,184,187,131,101,96,75,67,64,118,120,98,63,15,82,182,150,125,87,36,13,134,139,144,147,153,158,162,165,167,174,157,96,94,86,82,60,87,100,75,29,37,115,68,32,10,2,2,8,61,62,64,64,65,69,69,70,70,69,83,119,94,91,75,50,50,50,25,11,37,24,3,0,6,0,0,0,71,70,71,72,70,70,77,74,75,70,92,144,123,94,61,45,44,42,18,18,20,11,14,0,0,0,0,0,70,71,71,72,72,72,80,77,80,75,110,130,128,102,78,66,53,40,14,16,12,8,2,2,0,0,0,0
6,161,162,161,161,163,162,162,161,160,161,161,160,159,158,155,154,154,152,151,150,148,145,143,143,142,139,136,133,166,166,166,167,167,166,166,165,165,165,165,162,161,159,158,157,156,154,153,152,151,149,147,145,144,142,140,137,169,170,170,168,169,170,170,169,168,168,169,167,166,164,162,160,160,158,157,156,154,151,150,148,148,145,143,141,171,172,171,171,172,171,171,172,171,170,172,169,168,168,167,164,162,161,159,157,156,156,153,151,151,149,144,143,175,175,175,174,175,176,175,174,174,173,174,174,172,170,169,167,166,164,162,161,159,158,157,154,152,152,149,147,176,176,177,177,176,178,177,176,176,177,176,175,174,174,171,170,169,168,166,164,162,160,160,158,155,153,151,150,178,178,179,179,178,179,180,179,179,179,178,177,176,176,175,172,171,169,169,167,165,162,161,160,158,156,153,150,180,180,181,181,183,183,183,182,182,182,181,181,180,177,175,175,173,173,174,173,172,168,167,166,162,156,157,155,182,182,183,183,184,184,184,184,184,184,185,185,184,185,183,181,178,170,162,154,147,148,144,129,131,144,138,155,184,183,183,183,184,185,186,185,189,188,182,173,165,162,151,139,129,126,101,95,106,114,105,93,137,180,125,135,185,185,185,186,185,185,186,190,174,142,118,115,110,117,118,114,109,107,97,92,111,91,92,86,87,106,93,144,187,188,187,188,186,190,184,163,143,126,100,104,111,116,123,116,106,73,67,54,49,53,72,76,84,113,146,164,190,190,190,190,193,173,147,141,140,120,80,56,70,69,59,58,60,53,65,100,135,155,165,171,177,177,170,164,189,190,192,194,166,135,138,138,131,115,92,47,18,0,106,172,180,179,182,190,188,182,179,176,170,169,168,167,191,192,195,165,132,137,142,140,142,142,126,68,14,4,40,85,126,182,187,181,182,178,177,177,175,173,171,169,195,191,162,142,144,148,152,150,148,147,96,28,7,11,5,0,0,42,188,185,184,183,180,179,177,174,172,170,176,145,140,153,153,151,155,137,134,127,52,8,0,4,15,19,19,0,126,198,183,184,183,179,177,176,173,170,140,141,154,157,152,151,141,125,133,128,97,64,9,0,0,6,12,0,64,201,184,184,183,181,178,177,174,172,145,148,152,157,158,149,129,130,137,136,142,99,26,0,1,0,2,73,167,190,185,184,184,182,179,177,176,174,148,150,157,161,150,133,124,128,125,125,121,62,9,3,6,2,11,196,197,186,188,185,184,183,180,178,176,174,149,152,154,146,134,127,126,124,114,105,95,49,0,0,1,0,22,187,190,188,188,185,184,182,179,178,177,175,150,146,132,125,132,129,121,113,97,94,105,90,23,0,0,9,165,195,187,185,186,184,183,181,177,174,173,173,135,123,118,126,121,105,93,87,93,107,125,108,31,7,5,10,190,193,189,185,183,183,183,179,183,186,182,170,126,123,124,113,97,87,90,95,100,102,105,63,10,0,0,58,196,189,188,187,191,188,188,192,165,128,87,45,120,117,106,94,93,92,90,75,64,56,38,0,16,58,99,190,194,200,201,193,170,170,168,137,44,8,0,0,102,87,60,62,81,84,72,46,24,11,19,88,187,208,211,201,198,135,103,63,20,30,19,5,0,10,0,0,49,26,1,16,41,42,31,17,22,70,128,166,170,166,168,172,110,23,19,0,0,0,0,0,0,0,0,0,22,0,9,46,53,49,46,47,58,65,64,57,55,57,56,38,14,11,1,5,0,0,0,0,0,0,0,0
8,218,218,218,218,219,218,218,219,219,220,219,218,218,218,218,218,217,217,218,217,217,216,214,214,214,217,202,119,218,219,220,221,220,220,220,221,221,219,218,220,219,220,221,220,219,219,219,218,218,218,216,216,217,215,215,172,220,222,222,222,222,222,221,222,223,225,180,213,225,223,223,223,222,222,221,220,220,219,217,217,217,216,217,152,222,223,223,223,223,223,223,221,227,226,158,208,228,224,224,224,224,223,222,222,222,220,220,219,218,219,211,165,223,223,224,224,224,223,225,221,235,210,145,219,227,225,224,225,225,224,224,223,223,222,222,221,220,220,217,193,224,224,225,226,225,224,225,224,244,195,145,231,227,226,226,228,226,225,225,225,224,222,223,222,221,221,218,219,224,225,227,227,226,227,225,228,247,186,158,234,227,228,228,229,227,227,226,225,225,224,224,223,223,222,220,221,226,226,228,228,228,229,226,236,242,164,177,236,227,232,229,228,232,228,227,227,226,227,224,224,224,223,222,220,228,228,228,228,229,230,226,241,231,160,183,242,212,208,232,224,217,232,232,232,229,227,228,225,226,223,224,224,229,229,229,229,229,229,227,245,229,168,188,255,214,168,208,219,171,191,213,209,222,189,194,232,225,227,226,225,230,230,230,230,231,230,229,247,230,173,223,255,233,183,178,214,188,143,163,177,213,165,154,236,226,228,226,224,230,230,230,230,232,230,233,245,226,183,248,255,244,197,156,208,185,162,200,179,228,166,150,237,227,227,227,226,230,230,231,231,232,230,240,233,221,209,234,255,250,203,146,199,171,193,213,181,232,195,157,233,229,228,228,227,231,231,231,231,232,233,238,212,225,229,208,241,252,207,142,176,172,208,196,178,225,215,175,199,237,228,229,227,230,230,231,231,231,237,237,190,220,217,204,224,254,214,143,144,177,213,184,152,220,216,169,159,240,228,229,229,230,230,231,231,229,241,238,180,188,202,185,202,248,209,136,128,173,205,167,147,224,203,146,182,239,230,230,229,230,230,231,231,229,247,250,180,168,173,167,168,230,218,146,121,177,219,157,171,215,169,140,227,231,229,229,228,230,231,231,231,233,254,255,196,156,170,162,165,206,228,177,105,171,188,155,196,175,133,176,239,228,229,229,228,230,231,231,230,236,254,255,214,152,159,162,159,194,203,150,139,210,193,205,206,151,132,225,232,229,230,230,229,230,231,232,231,240,254,254,223,153,161,171,162,212,219,196,224,222,201,190,196,141,150,241,230,232,232,230,229,229,230,231,230,241,255,255,224,157,170,169,186,237,242,244,231,215,203,170,166,131,177,242,230,233,232,231,230,235,237,238,236,242,252,254,216,171,185,168,224,249,246,244,233,216,192,162,136,136,228,235,233,233,232,232,230,181,183,187,183,224,255,251,220,193,190,171,231,252,255,244,229,208,177,149,121,180,244,235,235,229,228,231,233,133,133,135,122,187,255,249,231,200,197,180,222,255,255,230,215,194,160,138,127,153,163,160,172,199,229,238,235,144,143,145,135,169,255,247,230,200,200,183,222,255,244,218,198,174,145,134,126,131,154,188,222,235,234,236,232,143,141,143,135,167,255,236,217,197,195,185,234,249,226,204,175,156,132,133,180,207,235,243,242,243,236,224,224,141,141,147,134,185,251,228,213,200,193,196,229,228,215,185,159,151,116,183,255,247,221,215,220,227,237,233,222,141,140,145,133,204,247,224,212,203,196,203,218,214,204,171,154,145,141,219,223,246,241,217,207,214,216,212,216
13,175,178,180,181,182,183,185,187,187,186,185,187,187,188,190,188,187,190,188,188,188,188,188,189,189,188,188,188,177,179,181,183,185,186,188,188,188,188,188,187,188,189,182,189,194,189,189,190,190,190,192,191,191,191,190,189,179,181,183,184,185,187,188,187,189,191,196,192,195,189,145,111,176,196,190,190,192,192,193,193,193,194,192,192,180,183,186,186,188,189,190,190,191,188,171,177,207,194,151,75,139,209,193,199,194,195,195,195,195,195,195,195,181,184,186,187,189,192,193,189,208,191,137,114,177,191,149,82,119,139,124,162,200,195,196,195,194,195,195,195,183,185,187,189,191,193,193,187,217,209,160,110,169,195,138,78,98,154,106,65,178,204,197,197,196,196,197,197,185,185,188,191,192,190,196,163,121,157,180,115,162,193,128,71,165,176,121,60,137,212,198,199,199,201,200,199,186,188,190,193,191,200,206,163,122,89,165,113,153,214,128,100,183,152,114,62,141,212,198,201,201,202,202,201,188,192,193,192,201,201,199,182,142,89,136,128,122,182,112,104,190,157,107,55,165,211,200,202,204,203,203,202,190,193,195,195,207,170,180,189,139,88,103,145,80,48,53,113,203,163,90,64,186,207,202,203,203,204,203,202,191,193,193,201,207,176,155,176,142,84,83,137,94,10,62,149,156,103,57,82,205,205,204,205,203,204,205,204,194,195,196,211,202,171,134,180,138,86,77,118,98,31,54,160,173,132,80,126,220,204,207,207,206,205,206,205,194,194,196,218,205,172,124,167,132,85,70,118,106,71,162,162,158,152,125,99,205,208,208,208,207,206,207,207,194,196,199,219,196,164,120,141,135,94,69,160,132,129,201,177,150,123,108,74,167,218,208,209,208,208,208,208,196,196,201,218,197,172,149,125,130,128,53,142,160,190,191,170,146,109,92,76,180,216,209,210,210,209,209,208,196,197,205,218,199,178,161,132,104,90,66,165,202,209,188,159,135,104,84,88,205,211,210,211,212,210,210,209,197,196,206,219,199,177,162,154,119,106,128,206,207,208,177,147,123,97,78,114,219,210,212,212,212,211,210,211,198,198,204,212,200,181,169,164,131,118,123,195,208,195,157,131,110,90,74,168,222,213,215,213,212,212,212,212,198,199,200,204,202,185,172,166,142,117,124,197,205,178,146,121,102,78,112,217,215,216,215,214,213,214,214,213,198,199,199,204,205,187,172,166,147,120,138,182,194,160,138,111,95,71,173,223,212,216,215,215,214,214,214,213,197,199,200,204,205,189,171,162,146,119,145,174,167,143,127,103,85,91,210,214,213,215,214,214,214,214,213,214,196,200,198,206,204,180,166,152,129,118,153,157,140,131,113,98,73,149,223,213,214,214,214,214,214,213,213,213,197,200,193,208,197,171,163,139,123,125,156,142,131,124,105,85,102,208,214,214,214,215,215,215,215,214,214,214,197,196,193,218,190,174,163,138,133,142,158,136,128,109,95,82,182,218,213,215,214,215,215,215,215,215,215,214,198,192,200,222,193,186,167,139,144,156,143,126,116,94,74,140,217,213,214,214,214,216,215,215,216,215,215,215,198,191,202,207,188,190,171,147,153,149,131,113,99,81,88,203,216,213,214,214,214,216,216,216,216,215,214,215,201,186,201,194,175,176,163,143,142,144,121,96,93,66,147,219,214,215,214,215,215,215,216,217,216,216,216,217,145,163,206,186,167,149,143,131,141,149,107,92,87,72,174,208,206,210,212,213,215,215,217,217,216,218,214,206
15,169,142,154,106,91,171,22,6,63,59,60,64,69,74,90,109,123,135,142,147,155,163,169,173,178,181,184,189,167,147,161,96,110,169,7,18,64,60,62,67,71,75,93,111,128,140,144,150,159,167,173,176,181,185,188,192,166,149,164,87,128,159,0,31,65,60,65,70,71,77,96,113,131,143,147,152,162,171,177,182,185,189,193,196,163,153,164,78,148,145,0,40,63,59,61,64,67,76,100,119,134,145,149,154,166,175,180,185,189,194,197,200,158,155,161,73,166,124,0,59,73,75,87,99,103,82,97,115,135,151,155,160,170,178,191,196,193,197,203,205,157,170,154,110,143,126,105,110,106,116,120,113,100,94,93,95,103,115,126,135,132,121,130,169,206,208,205,209,166,176,133,117,122,113,109,92,93,95,89,86,85,103,105,102,102,99,98,115,121,107,92,73,110,186,223,217,168,151,105,102,96,95,89,82,87,88,90,87,92,109,110,105,97,91,96,114,117,114,107,86,63,65,135,211,169,172,123,90,110,74,71,75,82,87,86,86,99,109,106,99,93,93,108,114,104,111,103,91,86,76,56,79,173,184,114,116,198,25,16,72,62,65,68,72,79,96,113,133,112,105,106,107,111,111,103,94,92,99,81,61,176,188,101,136,191,7,21,74,62,64,69,71,71,88,121,183,153,125,115,106,97,106,97,99,94,116,95,76,176,188,95,154,177,0,32,73,62,64,69,70,75,86,161,166,133,96,86,97,72,72,93,103,106,130,106,88,179,186,88,170,161,0,43,72,61,64,68,72,70,112,186,138,119,83,31,45,31,20,124,130,131,125,98,94,182,182,85,185,145,0,53,70,63,65,67,71,73,173,169,120,99,76,27,11,0,18,152,155,146,114,86,94,184,176,85,200,127,0,61,69,64,64,69,62,106,211,165,113,91,49,11,13,0,51,162,166,160,117,82,85,193,169,90,209,106,0,67,68,63,65,69,63,97,191,175,130,94,37,1,11,20,68,151,176,169,123,84,80,201,161,98,224,90,0,72,68,63,65,68,70,69,159,200,163,111,56,0,34,75,64,131,176,150,114,87,68,208,152,110,232,72,0,78,66,63,63,67,70,74,115,213,192,135,65,11,2,45,122,155,149,112,99,83,54,214,136,124,232,52,0,76,64,60,60,64,65,79,97,190,210,164,135,120,117,145,148,126,100,78,80,76,58,217,127,143,227,33,6,75,61,60,59,63,64,77,101,145,215,193,172,161,160,166,119,79,71,70,67,72,74,216,113,161,217,17,17,76,60,58,57,60,64,79,100,171,190,138,126,130,158,162,104,62,62,52,61,71,62,213,108,181,206,1,26,73,57,56,56,61,65,74,117,209,146,123,129,124,150,156,108,64,57,135,110,38,37,209,100,197,188,0,36,69,51,49,49,52,55,64,126,192,133,116,111,105,132,138,111,57,94,255,133,40,39,202,102,205,182,120,114,124,113,108,103,99,102,105,125,157,135,129,146,104,76,119,118,76,111,252,134,51,43,192,106,210,187,135,88,109,108,108,107,112,117,115,108,102,114,112,175,169,81,80,126,102,116,144,101,59,50,185,110,216,182,127,92,110,107,109,109,109,110,113,113,115,118,109,121,193,140,89,121,120,119,121,92,46,44,174,120,221,177,126,100,110,110,113,113,112,116,117,117,120,120,118,115,133,141,115,123,122,121,126,94,41,12,162,131,220,176,126,103,112,109,111,112,113,116,115,117,120,120,119,121,119,118,120,120,122,120,123,92,54,29
4,163,164,164,164,166,166,166,164,167,166,165,168,168,167,167,167,168,168,167,167,169,167,164,164,165,164,163,163,165,166,166,166,166,167,167,167,167,168,168,169,167,168,168,167,169,169,168,168,168,167,168,167,167,167,165,164,167,168,168,168,168,169,168,168,169,168,167,168,168,169,172,169,170,171,174,170,169,168,169,168,167,168,167,165,168,169,169,169,170,169,169,169,170,170,171,171,170,156,147,165,168,150,145,171,173,172,169,168,169,169,169,166,168,170,170,170,170,170,171,169,170,170,160,168,201,175,133,125,180,152,111,112,167,157,172,173,170,171,170,169,170,169,170,172,170,171,173,173,171,184,178,150,154,206,160,111,186,177,126,75,141,115,104,172,174,170,170,169,171,170,170,171,173,174,174,171,177,196,195,165,110,184,174,99,179,185,128,113,174,136,69,107,182,169,172,171,171,173,174,174,174,175,176,171,186,175,188,167,107,158,176,81,156,188,113,117,180,135,80,82,182,173,174,173,172,174,175,175,175,175,174,176,198,149,175,172,92,136,182,102,119,166,95,126,188,158,80,97,185,173,176,173,172,174,174,175,177,176,172,187,181,117,132,179,105,113,183,157,144,144,149,176,193,161,94,114,188,174,177,174,174,175,174,175,177,176,176,192,181,150,123,151,105,85,119,156,157,158,173,175,171,143,121,87,176,178,177,176,174,175,174,175,177,176,188,189,171,154,124,101,71,73,90,87,127,135,143,155,144,127,146,74,138,188,176,177,174,175,175,176,177,177,190,177,147,121,114,96,71,80,102,66,99,105,107,121,108,145,152,94,94,189,176,178,174,176,176,177,178,177,194,181,147,111,89,84,78,92,99,96,132,129,104,68,132,186,160,125,70,161,185,177,174,176,177,177,179,178,202,196,163,124,91,71,78,101,90,129,154,147,118,134,151,182,177,155,84,109,193,177,174,175,176,177,178,180,200,199,171,127,89,76,78,103,116,159,145,155,166,184,181,168,183,147,93,80,187,180,173,174,176,176,175,182,202,201,182,129,90,91,82,89,125,146,154,178,184,176,179,163,150,128,99,69,171,183,174,175,176,177,175,182,203,197,187,131,99,114,98,104,136,150,175,182,179,172,165,153,123,105,87,84,178,181,174,175,175,177,176,185,198,196,175,137,132,120,105,149,171,182,189,184,175,162,149,133,108,84,69,152,185,180,174,175,175,177,176,185,199,195,180,157,146,124,105,167,189,187,193,181,166,151,137,118,95,63,122,188,181,182,175,176,176,177,176,178,201,193,191,171,146,145,114,155,191,188,188,171,148,138,127,106,76,87,182,183,183,182,175,176,176,176,178,170,194,196,199,180,157,148,129,153,191,184,176,159,138,125,109,91,66,155,190,182,183,181,179,179,180,179,182,170,184,194,185,170,160,145,135,150,179,173,162,147,125,114,98,67,104,190,182,183,183,182,154,158,163,163,168,161,180,197,176,159,160,151,138,148,161,160,145,129,113,106,86,70,173,193,190,189,189,188,83,85,85,86,92,80,165,197,172,166,168,158,141,147,157,154,140,115,101,97,70,96,157,154,161,162,157,156,80,80,78,79,82,65,157,199,174,173,169,159,142,148,161,159,139,100,90,81,72,77,79,79,71,73,105,119,82,81,83,84,87,69,159,204,176,173,172,168,144,143,160,156,120,86,80,69,78,81,76,80,118,146,182,198,81,81,83,83,87,68,154,208,178,174,180,182,147,130,157,142,101,81,72,74,94,95,120,159,206,190,146,169
16,124,121,119,117,118,120,120,122,122,127,140,149,159,167,174,180,183,185,189,190,194,201,204,208,211,215,218,220,123,121,119,118,118,118,120,121,120,127,140,149,158,165,173,181,184,183,186,191,196,198,204,208,211,214,217,219,122,121,118,117,118,118,119,119,119,127,138,147,157,165,173,178,181,200,186,168,187,204,206,204,210,213,215,218,122,120,118,117,117,117,119,120,118,127,138,147,157,163,173,178,209,215,187,161,141,154,191,213,210,211,215,218,123,119,116,116,117,117,118,118,118,127,138,150,149,199,215,211,217,193,169,163,147,122,119,162,210,220,218,219,122,119,117,116,117,117,117,116,118,125,139,137,170,235,212,200,195,178,162,146,139,135,121,108,132,180,205,219,120,119,118,116,116,116,117,117,116,127,130,155,223,207,185,182,174,165,150,130,134,138,128,120,113,113,130,154,121,119,116,116,116,115,116,117,118,121,135,210,208,181,176,165,149,142,130,128,126,137,138,124,124,117,113,111,119,116,116,114,115,113,115,118,110,142,191,192,174,169,155,139,131,123,125,126,108,139,137,145,128,121,116,112,117,115,114,113,115,113,115,109,124,219,193,167,162,149,131,124,117,112,122,111,100,146,141,156,134,127,116,109,114,112,108,109,109,110,114,92,194,234,190,161,136,125,121,115,104,113,114,87,106,151,144,154,139,128,115,110,170,166,164,160,155,153,145,154,233,213,177,141,115,106,104,99,104,112,89,72,120,147,143,160,146,139,122,118,152,150,149,147,146,146,142,219,215,189,151,121,102,99,96,82,87,79,64,61,120,142,144,172,167,150,132,119,145,145,145,145,146,134,171,217,182,156,125,107,96,100,87,64,60,53,56,53,108,143,151,180,169,151,145,114,150,150,149,151,146,150,219,193,153,120,109,100,97,99,85,58,50,52,55,51,88,133,161,186,146,149,149,108,150,152,151,153,138,194,218,164,126,98,96,100,104,105,105,91,57,53,56,59,58,129,191,164,127,143,138,101,151,153,156,145,165,209,169,131,100,121,110,103,108,111,109,109,84,79,83,74,78,187,184,139,121,125,113,101,150,153,150,153,209,172,130,98,116,163,127,129,124,119,115,107,99,97,99,79,160,198,157,125,113,108,100,101,152,152,141,200,190,132,99,103,148,137,122,127,128,121,117,110,101,102,82,112,214,179,138,109,103,97,98,102,152,153,148,182,146,103,106,144,151,140,143,130,115,107,109,103,97,101,95,174,218,180,116,98,96,94,100,99,149,152,152,151,141,137,148,151,152,152,150,144,136,123,132,131,129,142,144,217,216,185,115,86,92,107,104,98,149,150,151,151,152,153,150,150,151,151,151,153,153,154,154,153,154,154,146,219,221,186,124,86,121,113,104,102,147,150,151,150,150,150,150,149,151,152,151,152,152,152,151,151,151,152,144,196,206,175,116,131,176,125,120,117,146,149,150,149,150,150,150,150,151,151,152,152,152,152,152,151,152,154,148,166,182,141,116,149,181,152,127,128,147,148,149,149,149,149,150,150,150,150,150,151,152,152,152,152,152,152,152,152,156,133,134,147,171,195,151,139,146,148,148,150,149,149,149,149,150,151,151,152,152,152,152,152,152,152,151,152,152,152,154,150,150,207,182,165,146,147,148,150,149,149,149,149,150,151,150,151,151,151,151,151,153,153,151,152,151,151,153,155,142,200,206,181,148,147,149,149,148,148,149,149,150,150,149,149,150,150,150,150,152,152,151,151,152,151,153,155,139,186,218,192
3,87,24,51,78,96,104,114,123,130,135,140,143,146,148,150,153,154,156,159,160,147,164,166,168,171,171,171,172,80,21,57,81,97,105,115,125,131,136,140,144,147,149,150,154,156,158,161,173,115,143,172,169,170,171,172,174,69,22,62,82,99,107,117,127,132,138,142,145,148,149,152,155,158,158,165,183,117,127,176,169,170,172,174,175,58,26,66,85,100,109,118,129,133,138,144,148,149,151,154,156,159,159,169,180,110,131,176,168,171,172,174,176,49,29,69,88,101,110,120,130,133,140,144,147,149,153,154,156,163,161,174,180,109,139,176,170,173,175,175,177,38,35,72,90,102,111,122,131,136,141,146,148,151,155,159,160,149,153,183,166,108,138,177,173,176,176,177,179,29,43,75,93,104,113,123,133,138,142,147,148,150,141,170,194,158,122,170,144,103,141,180,174,177,177,178,179,24,49,78,95,105,114,124,133,138,144,142,174,195,155,131,168,178,113,141,142,92,155,180,176,178,178,179,181,21,55,80,97,106,116,126,135,139,142,149,166,182,190,141,120,175,144,154,131,96,170,178,178,179,180,181,182,23,60,82,99,108,118,128,135,135,162,204,172,115,141,161,101,161,163,156,124,93,173,178,178,179,182,182,183,26,64,84,100,110,119,129,137,136,173,183,172,148,113,155,137,88,88,154,139,106,131,184,178,181,183,183,184,31,67,86,101,110,119,130,137,136,179,160,116,154,141,125,157,89,79,142,172,156,100,160,185,182,183,184,186,37,69,89,103,111,120,131,136,140,187,148,89,100,101,106,108,108,111,117,171,159,103,158,187,182,184,185,186,40,72,90,103,113,121,132,134,144,184,147,137,119,91,106,108,127,122,127,177,155,102,173,186,184,185,186,186,44,76,92,103,114,122,133,134,154,192,167,139,111,96,113,130,145,124,143,196,152,108,184,185,186,187,188,189,50,78,94,104,114,123,132,132,156,193,152,120,101,103,120,145,150,146,173,194,139,115,189,184,185,186,189,190,55,80,95,105,115,125,134,133,159,190,150,124,107,111,127,153,157,184,190,185,129,116,190,184,187,187,188,190,60,81,96,106,115,125,134,133,158,195,163,132,115,111,130,156,181,204,183,161,125,119,193,184,188,189,189,190,63,82,98,107,117,126,134,134,157,196,167,143,120,120,131,170,202,201,180,143,104,136,194,185,188,190,190,191,66,83,99,108,117,126,133,136,154,198,177,151,125,125,137,186,200,193,177,138,89,149,192,185,188,190,190,190,68,85,99,109,117,126,133,138,148,190,175,152,140,132,143,194,200,185,169,131,86,163,191,185,188,191,191,191,71,86,99,108,117,127,133,138,144,175,176,160,156,142,148,189,194,177,162,120,90,179,188,188,189,191,191,192,73,88,100,108,117,128,133,138,142,163,180,170,163,154,143,175,180,162,148,110,107,191,187,188,189,190,191,192,74,89,101,109,118,129,135,139,142,161,184,174,166,151,140,158,165,152,148,95,135,195,186,189,189,190,192,192,74,90,101,109,118,129,134,139,142,164,195,174,161,141,136,149,150,149,144,98,169,190,187,189,190,191,193,193,76,91,101,109,119,129,134,140,141,171,200,171,161,143,139,152,144,150,119,115,191,184,188,189,190,191,192,193,76,92,101,111,120,129,133,141,140,183,200,181,168,146,152,160,143,139,100,147,191,184,188,189,190,191,192,193,76,93,101,110,120,128,133,141,141,188,201,195,163,148,160,159,139,118,94,168,188,186,189,189,191,192,192,192
17,134,139,141,147,153,157,159,164,167,169,171,173,174,175,175,174,175,175,172,167,174,172,172,172,172,170,168,167,137,140,143,149,155,159,163,166,168,171,173,174,175,177,177,178,174,182,183,119,160,178,173,173,173,170,169,168,138,142,143,149,155,161,165,167,170,173,174,177,177,179,180,177,188,180,128,90,144,184,174,174,173,172,172,171,139,143,146,151,157,164,166,168,172,174,177,180,180,181,183,177,198,192,138,67,141,186,176,176,175,174,173,172,141,144,147,152,159,165,167,171,173,176,179,180,182,182,183,180,192,197,167,82,149,187,177,178,177,176,175,173,142,146,148,154,160,165,169,173,175,178,180,181,183,184,184,182,188,211,186,111,160,187,180,180,179,178,177,175,144,147,151,156,162,167,171,173,177,180,181,183,185,186,187,185,191,220,193,130,156,190,182,181,180,180,178,176,145,148,152,157,163,168,171,174,178,180,182,186,186,187,187,185,194,223,196,134,135,193,183,184,181,181,180,179,146,150,153,160,165,169,173,177,180,183,185,187,189,192,190,186,207,227,209,151,113,191,185,186,184,183,181,180,147,151,154,162,166,171,174,179,181,184,187,187,168,172,194,191,219,223,205,158,107,187,189,187,186,185,183,181,150,152,156,162,167,172,177,180,183,186,192,191,156,99,183,208,182,189,197,152,102,182,190,188,187,187,186,184,150,153,157,163,170,173,179,181,182,179,193,183,157,79,115,158,137,182,193,154,95,180,193,189,189,187,186,186,151,153,158,164,170,175,178,184,192,193,196,159,151,136,98,86,143,195,176,157,101,178,196,191,189,189,188,187,153,155,160,167,172,177,178,196,211,198,216,196,190,170,113,75,141,180,166,153,105,167,199,191,190,191,189,189,154,156,160,168,173,179,180,196,209,151,184,208,192,166,146,99,91,134,145,137,98,150,203,192,193,192,191,190,155,157,162,169,174,180,183,188,201,164,101,122,157,174,173,140,87,76,104,114,93,139,206,193,194,194,192,191,155,158,164,170,175,181,186,187,203,183,127,62,97,147,189,164,128,90,75,97,84,148,207,194,196,195,193,192,157,158,164,172,176,183,186,190,216,195,209,104,93,161,203,171,148,121,77,74,68,155,207,196,197,197,195,193,158,159,165,172,178,184,188,188,226,214,166,121,125,232,206,177,154,129,73,58,58,170,207,198,198,197,196,194,159,161,166,174,180,185,190,188,228,208,154,161,198,223,203,160,153,116,70,56,69,198,202,200,199,199,197,196,159,162,166,174,180,186,190,190,227,202,185,180,234,195,192,168,133,113,72,47,129,215,199,201,200,200,199,197,160,162,168,175,181,186,192,194,222,217,186,189,231,197,191,188,139,95,68,56,187,210,202,202,201,200,200,198,161,162,168,176,182,188,193,194,217,225,187,197,221,193,174,170,128,82,60,75,207,205,204,204,202,201,200,199,160,163,168,177,183,189,194,193,211,225,192,181,200,165,150,134,92,74,53,113,219,203,206,204,202,202,201,201,161,164,170,177,184,188,194,196,206,217,178,153,169,153,136,109,82,78,55,177,217,206,207,206,204,202,202,201,160,162,170,176,181,188,194,194,205,211,149,140,159,169,146,113,91,64,98,217,207,209,207,207,206,203,203,201,159,161,168,176,180,195,130,39,170,206,183,183,168,172,158,113,89,58,162,217,207,209,207,206,204,203,202,201,159,161,169,176,187,170,83,33,119,207,188,175,168,166,155,116,77,72,196,211,208,208,208,207,205,203,202,201
18,125,128,131,131,133,134,137,139,139,139,141,144,145,145,146,148,148,148,149,151,151,151,151,150,149,149,150,150,127,128,132,133,134,136,138,139,140,142,143,144,145,146,147,149,150,149,149,150,152,152,153,153,152,151,150,150,128,130,132,135,137,137,138,140,141,142,143,144,144,146,147,152,154,149,149,150,150,151,154,154,154,152,151,151,129,129,135,135,137,139,138,141,143,143,145,144,147,147,149,136,131,156,150,153,153,152,155,154,154,154,153,153,129,131,136,135,136,138,140,140,143,145,146,148,152,148,161,133,80,118,158,152,153,156,153,152,154,154,155,155,129,131,136,136,137,137,141,142,142,145,148,139,123,146,153,147,84,37,131,156,132,120,148,156,155,156,154,154,129,130,134,136,137,138,143,145,145,149,164,142,97,100,159,128,102,52,68,113,104,84,88,164,154,156,155,155,129,131,135,137,137,139,141,140,133,164,165,141,105,79,176,147,132,94,53,59,87,82,42,142,160,155,156,155,130,132,136,138,138,137,156,144,94,140,168,135,101,100,174,173,153,104,59,43,70,70,32,109,168,155,157,156,132,133,136,139,135,153,178,145,90,124,170,134,90,120,163,166,150,104,54,29,48,61,27,111,168,155,157,157,133,134,135,138,135,162,181,146,91,110,169,139,79,135,163,164,145,101,53,19,35,46,27,130,166,156,158,158,134,136,137,138,139,151,170,149,95,98,169,136,65,98,147,173,141,94,48,19,26,29,43,150,162,156,159,158,133,136,139,135,147,166,148,146,106,79,146,122,63,21,113,180,132,88,41,23,19,19,71,168,157,160,160,161,133,136,138,141,154,145,122,113,98,43,88,88,50,0,132,183,130,80,37,23,25,23,88,171,155,160,160,162,135,136,135,151,168,129,114,83,62,29,57,74,15,31,182,166,125,82,42,16,25,23,105,172,158,162,161,162,135,138,136,153,177,143,118,91,86,31,58,74,94,166,182,155,118,83,45,28,31,34,145,165,161,162,163,162,136,140,133,167,174,140,118,96,87,66,72,131,196,167,151,145,112,72,41,32,19,60,170,159,162,162,161,161,138,137,137,182,165,140,119,100,97,99,121,196,189,159,129,129,101,59,37,35,29,130,167,159,159,160,160,158,138,135,148,187,159,140,130,110,107,101,174,199,180,149,114,113,89,47,41,30,110,169,159,162,161,161,160,159,138,134,157,187,158,149,140,110,113,149,196,188,167,141,105,97,78,44,29,80,170,159,162,162,163,162,161,161,139,135,159,188,162,155,145,113,136,181,183,177,159,124,97,86,65,35,42,154,164,161,161,162,162,163,162,162,139,137,153,184,166,159,144,123,150,180,171,156,153,112,89,75,54,24,107,170,160,162,162,163,163,163,163,162,140,137,151,184,168,157,142,138,149,175,156,148,128,108,76,65,40,48,163,161,163,163,163,164,165,163,161,163,140,135,156,180,160,149,138,143,147,163,142,144,111,101,66,56,24,98,175,160,163,164,163,165,165,163,162,161,139,134,163,163,145,142,135,141,152,150,129,142,123,83,60,47,28,143,166,161,163,163,163,165,165,165,163,162,140,136,165,142,134,139,136,139,152,142,129,142,122,76,55,30,74,173,158,163,164,163,163,164,165,163,162,163,139,136,175,157,145,147,150,148,157,135,125,130,103,69,44,39,149,165,163,165,164,164,164,165,165,164,163,164,136,140,186,168,147,152,158,153,161,117,115,114,85,60,30,115,172,162,163,164,165,165,165,165,165,165,164,164
6,171,178,182,184,188,192,196,199,203,207,209,210,213,216,217,220,221,223,224,225,226,225,226,227,228,227,227,227,173,178,181,183,187,193,197,200,203,207,210,212,214,216,218,220,221,223,224,226,227,227,228,228,227,228,228,227,172,179,182,183,187,193,198,202,203,208,211,214,216,217,218,220,224,225,226,226,227,228,229,229,228,228,227,227,173,180,183,185,189,194,199,203,206,209,212,214,217,218,219,221,225,227,228,227,229,230,232,231,229,229,229,229,174,182,183,186,189,194,198,202,206,210,212,214,218,219,221,223,225,228,228,228,231,230,232,233,232,232,234,234,175,181,183,187,189,194,199,203,207,212,212,215,218,218,220,222,223,224,225,226,223,226,226,228,227,224,220,222,175,181,185,187,188,194,201,203,206,208,218,223,220,224,227,229,230,236,235,229,233,238,247,237,227,221,200,198,174,179,183,183,188,193,198,200,213,234,245,240,224,216,231,244,250,251,245,231,234,244,249,246,237,225,210,209,173,179,182,185,186,190,205,227,245,248,246,236,219,186,180,210,216,215,212,207,210,200,192,194,192,183,178,186,176,184,183,180,195,222,249,249,240,238,242,245,227,178,141,143,143,150,163,164,167,183,200,206,208,211,214,219,174,177,189,216,240,251,245,239,241,246,249,234,198,173,144,136,133,124,152,206,224,233,236,236,237,238,236,236,180,214,244,253,247,246,240,242,248,245,230,207,177,161,147,145,152,145,141,183,213,234,232,234,234,233,232,233,245,253,249,247,245,248,248,245,244,244,241,238,203,156,143,131,144,158,150,138,119,195,244,234,236,234,233,234,253,250,251,250,246,242,244,241,243,246,254,248,197,156,148,142,133,145,159,164,142,120,206,241,234,235,235,234,255,255,253,245,245,243,245,238,241,252,253,217,180,162,154,156,159,143,129,140,149,131,148,241,233,235,234,233,255,253,247,238,236,233,233,230,236,244,236,203,174,157,159,163,165,156,133,127,127,133,160,236,233,233,233,232,251,248,240,234,235,232,231,227,229,235,233,215,174,143,122,148,167,195,156,141,126,130,152,168,166,166,165,164,248,248,248,241,237,237,239,237,234,240,238,214,165,149,137,133,135,155,164,156,138,139,133,130,130,131,130,129,252,252,245,239,237,236,236,233,237,244,232,199,159,154,160,159,149,137,140,144,149,143,138,141,141,140,140,140,245,242,236,233,233,225,220,217,226,228,213,190,168,165,163,157,149,141,135,133,146,147,144,140,139,138,137,137,232,229,229,223,216,213,203,205,217,212,195,179,168,161,165,163,153,143,141,145,143,145,145,140,141,139,137,137,210,214,206,204,197,198,195,192,191,181,164,153,150,142,141,148,150,149,147,145,141,143,142,139,140,138,136,137,169,171,176,176,179,171,162,154,148,146,145,144,144,144,140,138,140,146,144,142,143,143,143,140,142,139,137,137,157,144,143,144,138,139,142,143,141,145,146,147,146,145,147,145,145,144,144,144,142,140,142,141,142,140,138,138,144,140,132,125,134,143,145,147,147,147,147,146,146,146,145,144,144,145,145,144,142,139,140,140,139,139,137,138,132,121,118,125,138,148,146,146,147,148,146,146,145,146,146,144,144,145,144,143,142,141,139,140,141,139,138,138,158,148,134,131,136,146,147,147,146,146,145,145,145,145,145,143,144,144,143,143,142,140,139,140,140,138,138,138,167,145,135,132,136,145,147,147,146,145,146,145,144,145,144,143,143,143,143,143,142,140,140,139,139,137,138,139
21,125,128,129,132,134,135,137,139,142,143,142,142,141,146,143,144,145,145,143,143,144,143,145,144,142,142,141,139,126,129,131,134,136,137,139,141,142,144,142,149,157,127,144,147,147,146,145,145,145,145,146,146,145,143,143,142,128,131,133,136,137,140,142,142,143,146,143,161,185,120,121,153,148,148,149,148,148,148,147,147,148,147,145,143,130,132,135,137,139,141,143,145,146,149,149,146,185,150,96,147,152,149,151,149,150,150,148,151,142,138,148,145,130,134,136,138,140,142,145,147,148,149,151,147,168,177,122,127,155,151,152,151,152,152,149,170,131,98,152,147,131,136,138,140,141,143,146,149,150,150,150,150,155,192,158,113,149,155,154,154,154,151,156,178,120,103,155,147,133,137,139,141,143,146,148,150,151,151,152,154,150,187,174,115,131,159,154,154,155,150,170,172,105,124,156,149,135,138,141,142,145,148,148,150,151,153,153,155,150,176,184,129,115,159,155,155,156,157,183,158,102,144,156,153,137,139,142,144,147,149,150,152,153,154,155,156,153,167,181,149,107,156,158,158,154,167,175,136,101,157,154,154,138,141,143,146,148,150,152,153,155,156,157,154,165,192,173,155,92,121,165,156,159,180,166,107,119,163,154,154,139,142,144,148,149,151,153,154,155,157,156,162,171,189,176,152,117,90,148,162,169,182,157,97,150,161,157,156,141,143,145,148,151,153,154,155,156,158,160,196,166,159,193,167,160,149,115,140,162,166,124,109,166,158,159,157,141,144,147,149,152,154,155,156,159,158,169,179,180,163,148,155,185,170,111,88,127,129,92,137,166,159,160,159,142,145,147,150,153,155,156,158,160,157,172,171,146,114,70,79,161,170,125,84,95,99,90,160,162,161,161,160,143,147,148,151,154,155,157,160,162,158,176,167,112,111,95,77,114,186,150,99,78,79,102,169,162,162,161,161,144,147,149,153,154,156,159,161,162,160,180,175,161,141,104,105,100,180,172,116,78,67,118,173,163,164,163,163,145,148,151,154,155,158,160,162,163,160,190,192,152,125,107,123,120,181,189,139,92,63,123,174,163,166,165,165,147,150,153,154,157,159,160,162,164,163,193,175,133,120,125,139,148,197,188,151,109,69,118,175,163,166,165,165,147,149,152,155,157,160,161,163,164,165,192,180,152,145,145,147,174,201,181,149,113,70,118,176,164,166,165,165,145,148,152,154,157,160,160,161,164,162,193,190,162,148,154,161,186,201,179,142,119,73,116,177,165,167,166,166,147,151,153,155,158,160,161,163,165,161,189,197,173,150,159,170,196,200,183,145,118,76,119,177,166,167,167,166,148,152,155,157,159,160,162,164,167,163,186,200,176,160,159,180,201,191,177,141,115,74,124,178,168,168,168,167,149,152,155,157,159,161,163,165,168,166,182,201,180,177,169,183,201,189,169,142,110,72,119,181,169,171,170,169,150,153,155,159,160,162,166,167,169,169,175,199,188,187,181,178,196,178,162,140,104,69,116,182,170,172,170,170,151,153,156,159,160,164,167,168,169,170,169,190,194,190,183,173,181,163,149,136,99,65,121,182,171,171,175,173,146,150,153,156,160,163,165,167,170,172,169,183,199,190,172,155,164,156,140,141,94,58,147,187,178,180,162,111,100,101,104,107,109,110,114,115,115,115,117,135,197,181,156,133,142,156,138,137,85,58,132,142,140,144,93,69,76,77,78,77,76,78,81,80,77,81,68,56,180,165,138,124,136,157,128,127,72,45,61,75,82,84,64,65
1,198,199,199,200,200,201,203,202,204,204,204,202,190,200,203,202,201,201,200,200,199,199,198,196,195,195,194,193,200,202,201,202,204,205,205,205,206,209,211,206,169,159,210,205,207,204,204,204,203,202,201,201,200,200,198,196,203,204,205,205,207,207,207,209,209,198,194,215,185,120,144,163,208,209,207,207,206,205,205,203,202,202,201,199,205,206,208,207,209,209,210,210,212,192,136,202,197,111,127,142,167,220,206,209,208,207,206,206,204,202,203,202,207,209,209,210,211,212,213,213,213,206,137,177,202,119,135,164,122,216,212,212,211,209,209,207,207,206,205,205,208,211,212,213,214,214,214,216,214,216,149,151,208,139,145,176,115,199,219,213,213,212,212,212,209,208,208,208,211,213,213,214,215,216,217,208,205,221,165,134,192,139,152,192,126,180,224,213,215,214,214,214,213,212,210,209,213,214,215,215,216,218,220,190,152,221,179,118,178,141,143,190,132,170,229,216,218,216,215,215,215,214,213,210,215,216,216,217,218,220,221,203,134,204,183,112,184,164,117,193,148,160,229,217,219,218,217,217,217,216,215,214,215,217,219,219,220,220,223,206,136,190,202,124,164,173,115,189,175,153,231,218,220,219,218,219,219,219,217,216,217,219,220,220,221,221,224,211,139,180,211,128,127,160,150,186,152,140,222,223,223,222,221,220,221,220,219,219,218,221,222,221,223,223,224,214,152,147,204,129,130,153,154,173,133,131,133,165,232,221,221,221,221,219,219,220,221,222,224,224,225,226,222,221,165,125,187,151,156,147,156,168,160,139,111,116,213,228,223,223,222,220,220,221,221,223,224,225,226,227,224,219,179,158,171,149,158,147,174,196,159,119,153,142,163,236,223,224,224,222,221,220,222,225,225,227,227,227,228,224,196,168,160,144,154,157,178,187,165,164,210,182,140,220,228,225,225,225,223,222,223,225,228,227,228,229,229,229,202,164,147,141,151,160,186,193,196,189,176,192,135,174,237,224,225,225,224,225,225,226,227,227,229,230,228,232,212,170,136,142,154,164,199,200,219,218,186,160,118,121,233,227,226,226,225,225,226,227,229,230,230,233,229,231,231,187,143,145,157,181,197,205,214,208,185,157,112,108,225,231,229,226,226,226,226,227,230,232,230,232,232,228,238,211,166,141,159,189,203,217,221,206,184,164,109,133,236,229,230,228,228,227,227,228,231,233,233,234,235,224,240,230,193,153,154,180,210,227,222,208,197,162,102,168,244,229,231,231,230,228,228,229,232,233,235,235,237,224,236,239,210,170,162,177,211,232,225,219,195,148,100,202,240,231,232,232,230,228,229,231,232,234,234,234,236,229,225,234,223,182,171,176,207,222,233,218,179,131,113,230,235,233,233,233,232,229,229,233,232,234,234,234,236,236,212,222,224,193,171,170,197,217,218,193,155,108,141,246,234,234,234,233,233,231,228,231,231,233,234,234,235,238,218,206,211,195,179,172,180,194,185,153,121,99,201,243,234,234,234,233,233,232,228,232,231,233,234,234,235,236,233,200,202,196,184,179,160,162,167,138,98,154,244,235,236,234,234,233,232,230,229,232,232,233,234,235,236,236,239,214,208,194,178,175,150,149,154,122,100,219,241,235,235,234,234,233,232,230,230,232,232,233,234,235,236,236,239,218,210,185,170,172,158,150,137,103,129,242,235,236,235,235,234,234,234,231,230,231,233,234,234,235,234,236,241,215,218,208,190,189,169,157,129,95,150,247,235,238,238,236,235,234,234,231
13,120,122,127,137,144,148,152,153,157,160,166,168,169,172,175,177,178,179,178,181,181,179,180,179,180,181,180,179,123,125,130,138,145,149,153,155,158,162,166,170,171,174,177,178,179,180,181,183,183,182,182,181,184,184,184,181,125,128,133,141,149,152,154,157,161,165,168,171,174,177,179,180,180,183,183,182,183,183,185,184,186,185,185,184,127,130,136,143,151,154,158,161,163,167,169,172,176,180,180,177,182,176,181,192,191,187,186,187,188,187,185,185,129,132,138,145,151,156,160,163,167,170,172,175,179,180,188,214,211,162,114,157,173,187,194,188,189,189,188,188,131,134,140,148,154,159,162,166,169,172,176,177,181,178,181,204,216,160,91,62,115,118,164,195,189,191,191,190,131,136,142,148,155,160,164,166,170,176,178,184,196,145,123,137,200,166,99,58,129,102,76,196,193,192,191,191,132,136,144,149,157,161,163,170,172,178,166,209,226,184,137,85,153,203,133,62,136,99,74,194,194,193,193,192,132,137,146,152,158,163,166,169,174,195,136,116,212,218,171,93,67,199,141,63,144,113,87,202,194,195,194,194,136,140,146,153,160,164,168,168,207,214,159,89,115,234,189,121,34,89,118,51,178,122,127,206,195,197,195,194,138,141,148,156,160,166,165,202,205,212,191,131,49,193,182,112,41,16,51,51,147,92,152,209,196,198,197,196,138,143,152,159,164,164,186,211,149,184,201,145,43,137,173,98,39,10,62,110,125,94,95,204,200,200,199,199,140,145,155,161,165,167,217,209,158,159,175,119,46,101,170,122,35,51,140,148,116,96,78,155,212,199,202,200,144,149,157,164,165,183,210,178,133,137,154,93,31,66,186,138,42,142,183,153,110,78,85,98,210,201,202,202,145,151,160,169,167,197,222,186,143,112,133,94,27,19,166,118,103,200,177,146,109,83,69,92,211,203,203,204,147,154,165,173,170,202,228,192,161,101,96,85,30,73,176,175,196,189,161,126,102,79,47,146,218,204,207,206,148,156,168,176,172,211,236,203,168,119,89,93,127,182,211,214,206,176,145,115,94,64,64,202,208,207,207,206,150,160,170,178,176,218,239,215,168,141,151,144,161,188,208,202,194,165,133,111,84,43,108,222,204,209,208,208,155,165,175,181,180,220,229,226,182,164,166,135,178,191,202,203,178,149,123,99,75,33,158,222,208,210,209,209,159,170,179,186,186,208,222,231,198,178,169,147,183,206,191,185,157,131,108,90,51,71,219,213,213,212,212,212,162,173,183,190,192,195,224,223,208,186,167,153,173,200,187,159,140,117,103,78,54,190,224,215,216,215,214,214,166,175,185,190,197,193,215,214,209,194,181,166,162,188,181,150,127,104,95,54,161,233,217,219,218,217,214,213,168,178,187,192,199,196,202,221,212,206,200,178,160,178,173,138,102,99,65,116,233,218,222,222,219,216,225,225,171,181,191,197,202,199,194,223,204,199,192,169,152,164,154,125,89,85,74,211,227,222,224,223,221,229,188,122,173,184,194,200,203,204,199,215,175,174,184,172,154,156,140,119,97,59,146,238,224,226,223,226,233,146,42,15,175,186,195,200,205,206,199,224,184,187,198,188,158,143,133,120,97,56,191,230,230,228,238,236,134,34,33,7,176,187,195,200,204,207,195,229,199,201,210,188,164,138,132,118,94,60,209,231,230,234,178,86,26,35,47,8,177,189,196,202,205,211,196,224,219,221,219,190,169,142,130,119,89,63,215,228,239,178,48,24,9,22,45,28
16,193,194,196,196,196,196,197,198,198,198,198,199,199,199,199,199,199,200,200,201,200,199,200,200,200,200,200,198,194,195,196,197,198,197,198,199,199,199,199,200,200,199,198,198,198,199,201,202,201,201,201,201,201,201,200,199,195,196,197,198,199,198,198,199,200,200,199,199,200,198,184,176,173,180,195,201,202,202,201,201,201,201,201,200,196,196,197,199,199,199,199,200,200,197,191,190,202,204,178,159,146,135,147,177,195,202,202,201,202,202,201,201,196,197,198,199,200,200,200,199,203,197,183,187,209,209,188,169,150,121,103,114,149,183,200,202,202,202,201,201,197,198,199,200,201,201,196,193,210,206,189,196,213,206,191,176,151,115,100,91,95,125,172,199,203,203,203,202,199,199,199,200,201,207,198,193,207,206,195,200,211,195,182,170,143,105,99,91,86,90,116,169,201,204,204,203,199,199,200,200,202,213,205,195,203,204,200,198,202,185,174,160,131,99,91,87,86,86,86,113,176,204,205,205,198,199,200,200,201,206,204,195,201,207,205,200,202,186,172,151,119,92,83,81,84,86,84,85,131,195,207,206,197,198,200,203,204,201,203,203,200,206,207,204,209,195,173,142,108,84,74,77,83,86,84,81,100,178,206,206,197,198,199,205,206,200,205,210,204,204,207,206,210,197,169,132,99,74,64,75,85,90,90,82,92,168,204,204,198,199,199,203,205,204,204,209,204,201,210,210,208,195,161,119,85,56,55,73,86,94,96,86,97,175,204,204,200,200,200,201,205,210,209,209,206,192,208,215,208,194,156,106,64,34,47,67,82,97,96,87,104,182,205,206,201,201,201,201,205,211,212,196,191,191,204,213,209,194,150,95,46,22,38,58,80,102,93,85,113,187,206,207,200,200,201,201,202,204,210,189,176,192,201,210,212,192,144,88,44,23,29,52,88,110,93,85,124,194,207,207,199,200,201,201,201,197,199,205,196,190,198,210,214,189,139,85,54,40,35,60,108,120,97,86,129,196,207,208,194,195,197,198,199,195,187,195,200,191,195,209,215,186,134,85,66,63,57,81,133,140,110,87,127,196,208,208,153,156,159,162,164,166,162,167,181,171,171,196,212,183,128,84,74,74,70,98,151,162,134,95,126,193,208,212,107,108,109,109,111,113,113,118,133,124,124,175,209,181,122,87,82,82,80,109,156,174,157,116,119,180,216,230,102,102,101,100,100,101,100,101,104,103,105,164,209,181,122,108,99,90,88,111,152,175,174,145,134,192,226,239,101,102,102,101,101,102,102,103,103,103,103,153,207,182,127,143,127,106,96,103,138,166,174,156,138,188,224,232,101,101,101,102,102,103,103,103,104,104,103,138,201,181,135,169,152,125,111,99,112,145,158,142,121,170,211,212,100,100,100,102,102,103,103,103,105,105,103,131,202,177,146,189,175,146,128,109,94,109,127,118,132,175,184,195,100,100,100,101,102,102,102,103,104,105,104,125,188,163,166,205,190,163,144,122,97,87,92,96,159,197,173,176,100,101,100,101,101,101,102,104,104,104,104,112,139,157,199,214,198,174,155,133,105,86,82,88,168,219,196,175,100,101,101,102,101,100,101,103,103,103,103,103,109,163,213,217,203,181,162,141,113,89,83,88,166,226,215,198,100,100,101,102,101,99,100,102,102,102,103,102,106,159,209,216,206,186,165,146,120,93,83,86,157,226,217,195,99,99,101,104,102,99,100,101,102,102,102,103,107,156,206,214,206,186,167,149,124,97,85,85,150,224,219,186
24,88,99,110,118,125,129,129,134,141,144,147,150,152,153,157,159,160,161,163,164,165,165,164,164,164,164,163,162,89,101,112,120,127,130,131,136,142,146,149,152,154,156,158,160,161,163,165,166,166,167,167,166,166,166,166,166,89,102,113,121,128,132,132,139,144,147,150,154,156,159,161,162,163,165,166,167,167,168,168,167,167,167,167,167,91,103,114,124,130,130,137,141,145,148,152,155,158,161,163,164,165,167,168,168,168,170,170,169,168,168,168,168,92,104,114,125,129,157,129,138,148,150,154,156,160,162,164,165,167,168,169,171,171,172,171,171,171,170,170,171,92,105,116,124,135,172,107,116,154,151,155,158,161,164,165,167,170,169,171,172,173,173,172,172,172,172,173,172,93,105,117,126,133,152,103,94,152,153,157,161,162,167,168,169,171,175,175,174,175,173,175,174,173,173,173,173,93,107,118,128,130,154,114,78,141,159,158,164,164,164,167,178,179,150,166,179,175,176,176,176,175,175,174,174,94,108,119,129,133,143,132,88,112,161,157,149,171,169,123,162,192,141,104,171,180,178,177,178,177,177,177,176,96,109,120,130,137,139,156,107,82,150,177,133,171,184,110,139,184,138,86,116,187,179,179,178,178,179,178,177,96,110,121,131,138,138,151,127,102,151,203,154,186,192,120,170,169,105,82,87,173,182,180,179,179,180,180,179,97,110,122,132,139,141,147,166,126,154,216,158,179,189,115,178,160,86,72,78,143,191,179,182,182,182,178,170,99,112,123,132,139,142,145,161,147,173,208,151,161,189,117,184,167,84,73,84,108,193,182,184,183,177,168,151,99,113,123,134,141,144,144,160,203,178,191,162,146,179,119,196,169,72,70,85,77,172,191,181,181,182,155,116,100,113,125,135,142,145,145,168,191,155,163,151,114,159,123,206,140,57,78,93,83,118,179,174,185,165,116,88,102,115,127,136,142,146,147,165,208,174,154,141,104,147,124,98,63,75,88,107,129,139,159,165,153,109,88,158,102,116,127,137,142,146,148,162,210,188,154,138,145,147,165,99,104,157,152,160,158,151,144,135,99,102,177,193,102,116,128,138,144,146,149,160,205,194,171,146,141,147,175,178,200,194,182,170,154,132,118,93,99,187,193,187,103,117,129,138,144,146,150,159,203,195,168,146,156,190,206,210,196,183,171,158,134,112,86,90,182,196,190,190,103,118,130,138,144,146,151,156,197,197,174,161,167,192,209,208,194,175,159,137,112,80,96,179,198,191,193,191,105,118,129,139,145,147,152,155,186,200,182,171,162,190,208,202,188,164,142,118,79,118,193,197,193,195,193,193,105,119,130,140,146,148,153,157,177,200,183,161,150,184,191,181,172,152,127,81,125,203,197,194,196,195,194,193,104,119,129,140,146,147,152,158,172,192,165,145,149,184,176,159,144,124,81,120,203,196,195,196,196,196,195,193,104,118,129,139,145,146,150,157,168,186,164,158,162,184,170,143,122,84,87,194,197,195,195,195,195,194,195,194,104,118,130,139,145,146,152,158,168,204,187,176,170,180,162,128,112,73,144,200,193,195,196,196,196,196,196,195,104,117,130,140,145,146,152,160,167,210,200,181,164,175,148,120,102,79,172,199,195,196,198,197,197,197,197,196,103,118,129,139,145,146,152,159,165,194,186,168,162,175,143,129,86,82,183,198,196,197,197,197,197,197,197,197,102,116,129,139,144,147,152,157,168,189,171,150,157,167,140,121,71,85,190,197,197,197,197,197,197,197,198,197
23,165,167,167,168,170,169,170,170,170,171,171,170,171,171,171,171,171,170,170,169,169,168,167,167,166,165,166,154,167,169,168,169,171,172,172,172,173,174,174,173,173,173,173,175,175,172,170,171,170,169,169,168,167,168,165,166,168,170,171,173,174,174,174,175,175,175,176,175,175,175,175,175,176,176,176,172,171,171,171,169,169,169,168,167,171,173,174,174,174,175,175,175,176,176,177,176,176,177,177,177,177,179,177,175,175,175,175,174,173,172,171,170,173,175,175,176,176,177,177,177,176,177,178,178,177,177,177,177,178,180,177,177,176,170,171,172,171,175,173,172,175,175,176,178,179,179,179,179,178,178,179,181,178,178,178,179,179,176,186,198,191,180,174,127,95,183,174,174,176,177,177,178,178,180,181,179,180,180,181,183,181,180,181,182,180,194,208,202,152,131,129,82,112,184,175,177,177,178,179,182,181,183,184,183,183,183,184,183,185,184,182,183,206,206,181,144,68,114,139,157,183,179,179,179,179,179,180,182,184,183,183,184,185,183,184,184,184,184,180,201,221,178,84,83,148,190,185,183,179,180,179,179,180,181,182,183,184,184,184,184,185,184,184,184,186,182,190,212,221,130,52,174,194,183,180,184,184,179,181,181,181,182,184,184,183,184,186,185,184,186,186,187,188,184,205,211,210,142,152,191,156,175,187,167,169,186,183,183,182,183,184,185,185,185,186,186,186,185,187,187,188,188,203,201,186,202,206,202,128,114,171,149,121,189,184,182,183,184,185,185,186,185,185,187,187,187,180,161,167,185,189,192,106,163,165,172,129,68,145,160,92,189,185,185,183,184,185,186,188,187,186,189,187,197,192,164,134,151,166,193,173,199,198,178,114,48,105,132,83,193,186,185,184,186,188,187,187,188,189,189,191,208,207,200,172,157,145,143,133,139,167,180,133,51,39,72,55,174,192,186,183,185,188,188,186,188,190,190,188,204,217,206,199,177,154,170,149,126,118,123,128,81,30,48,42,109,200,186,182,184,186,186,186,187,187,190,185,199,220,200,193,165,114,135,173,163,142,120,70,92,43,35,50,77,196,187,182,185,186,186,186,187,188,191,183,199,216,210,204,128,83,68,125,132,119,91,48,85,51,28,44,125,197,183,184,186,186,187,187,188,188,192,182,199,217,221,201,122,62,21,67,150,101,43,59,103,58,27,66,181,189,185,184,185,187,188,188,189,189,191,178,201,222,215,179,129,75,3,97,130,66,13,92,107,61,29,139,198,185,187,184,184,185,186,187,189,190,190,180,205,221,202,163,118,81,16,76,87,4,16,111,91,39,69,195,189,187,188,183,183,184,185,186,188,190,187,185,210,217,191,153,114,79,13,58,55,0,65,102,56,29,143,200,187,190,190,190,190,190,190,192,194,195,187,192,218,209,176,146,116,83,23,51,37,3,88,74,33,54,188,191,188,189,188,150,153,156,160,165,171,177,172,195,206,195,160,134,112,86,27,40,36,35,57,54,40,139,206,197,199,198,197,68,67,66,70,74,74,67,99,196,197,183,141,128,131,83,36,27,41,69,62,46,55,133,140,143,148,152,153,73,71,70,70,70,73,62,96,193,191,171,138,146,144,74,52,34,55,79,76,57,63,56,58,61,56,53,64,72,74,73,72,73,75,66,113,198,182,173,150,158,145,86,61,47,62,72,65,63,75,71,72,78,101,141,173,72,74,75,74,75,78,62,129,209,195,189,168,164,143,97,64,51,57,65,62,76,86,106,151,182,201,192,193
2,155,155,154,155,155,155,155,154,153,152,150,150,149,147,147,145,144,144,143,140,141,141,140,138,137,136,135,132,157,157,157,157,157,157,156,155,155,155,153,151,150,150,149,149,148,147,145,147,144,143,141,140,139,137,136,135,160,160,160,160,160,159,157,157,156,156,155,154,153,154,151,147,140,133,101,117,143,144,146,141,141,138,137,137,161,162,162,161,161,160,159,159,159,158,156,156,151,145,141,133,114,93,60,47,100,115,108,146,142,141,139,137,163,163,163,163,163,162,161,161,160,160,160,155,141,138,133,104,70,50,38,46,75,86,57,134,145,142,142,140,165,165,165,164,164,164,163,163,163,162,160,147,145,129,92,45,33,34,30,31,43,50,36,70,152,144,143,142,167,167,167,166,166,166,165,165,164,163,153,150,133,78,42,29,23,31,29,21,27,34,29,90,155,145,144,143,168,168,168,169,169,169,167,166,166,161,153,149,101,40,36,29,30,24,27,50,49,53,81,146,152,148,147,145,171,170,171,170,170,169,169,168,168,157,155,133,71,36,35,31,28,50,106,153,147,150,157,154,151,150,148,146,173,173,173,173,172,171,170,171,164,155,149,100,43,28,36,28,104,161,164,159,159,158,154,154,153,151,149,148,173,173,173,174,174,173,174,168,153,163,143,85,49,36,33,45,164,163,159,159,159,159,157,156,154,153,152,149,175,174,175,175,174,174,176,153,159,168,133,84,58,42,22,112,171,161,162,162,162,160,158,157,156,155,153,151,176,176,177,176,175,177,169,149,169,157,124,85,55,34,61,171,166,166,166,165,163,161,159,159,157,155,154,153,176,177,178,178,177,179,155,154,176,149,111,73,46,28,93,180,165,168,168,166,163,162,161,160,157,156,155,154,178,178,179,178,179,175,146,168,176,135,103,72,46,26,121,180,167,168,168,166,165,162,160,162,162,160,156,155,181,180,179,178,183,161,154,181,164,117,99,69,40,34,163,174,170,170,169,167,164,166,166,158,145,146,161,156,181,180,180,181,180,150,173,177,143,112,106,66,40,28,124,183,172,169,167,167,173,159,126,105,98,88,113,159,180,180,180,185,166,159,180,161,126,123,102,60,34,37,46,96,170,174,174,171,137,90,83,95,96,73,85,159,182,182,182,183,158,169,171,149,124,120,92,51,31,40,53,43,93,177,145,106,78,75,98,96,66,104,159,160,183,183,186,173,160,168,164,141,122,112,75,41,36,52,56,57,54,72,68,74,88,88,80,56,118,168,162,159,185,185,185,163,166,166,156,131,117,98,65,38,52,64,62,61,61,51,68,80,74,61,51,118,173,163,162,161,185,187,175,167,169,163,147,127,105,88,61,44,63,64,62,61,59,54,59,54,67,114,153,172,166,167,165,163,187,181,169,172,170,161,145,113,90,86,56,51,63,61,58,56,48,33,48,111,162,180,172,167,168,167,166,164,188,169,169,160,164,156,129,99,85,73,47,54,59,61,56,37,51,92,152,182,176,172,171,171,170,168,167,165,175,163,154,157,154,139,108,76,64,50,49,52,53,45,29,71,162,187,180,175,175,174,174,172,169,168,167,166,166,160,144,151,141,129,96,64,58,50,41,29,33,51,113,182,183,178,177,176,176,175,174,173,172,168,168,167,167,153,146,152,146,133,82,63,57,42,61,109,142,175,191,182,180,180,178,177,176,175,174,173,172,170,168,167,162,150,145,152,144,124,70,60,48,67,172,195,191,184,179,181,181,178,178,178,175,174,174,173,171,170,168,166
7,96,106,120,143,155,163,169,172,173,177,180,181,182,183,184,185,186,185,184,183,181,181,180,178,176,175,172,171,96,107,122,145,156,164,170,173,175,179,181,183,184,185,187,187,187,187,186,185,184,183,182,180,178,177,174,173,98,108,123,145,157,165,171,174,177,180,182,185,186,187,188,189,190,189,188,187,186,185,184,182,180,179,177,175,100,109,125,146,158,167,172,175,178,181,184,186,187,189,190,191,191,191,190,189,188,187,185,184,183,182,180,177,101,110,126,148,159,167,173,177,179,183,186,187,188,189,190,192,192,192,192,190,189,189,187,186,185,183,181,179,102,111,127,149,160,168,174,178,180,184,187,189,190,191,192,193,194,194,194,193,192,191,191,188,186,184,182,180,102,112,127,150,161,169,175,178,180,184,187,190,191,193,192,190,188,186,181,173,174,176,182,190,188,186,185,183,103,112,128,150,161,169,176,180,180,181,181,180,172,165,157,140,140,142,136,132,161,166,152,191,190,188,187,184,104,113,130,151,162,170,173,162,154,150,152,149,138,131,125,113,120,115,115,117,126,125,138,180,189,189,187,185,105,114,131,151,162,174,164,133,130,135,136,134,129,122,120,117,114,120,119,115,110,106,117,138,154,189,188,186,105,114,132,155,172,174,153,122,111,112,117,126,134,137,136,121,106,123,120,108,102,96,106,122,127,186,189,187,105,114,142,170,172,162,152,137,131,134,143,144,140,134,125,105,97,104,101,94,96,97,104,122,158,192,190,188,105,134,170,172,166,163,149,131,126,130,135,126,121,115,103,98,110,130,148,162,174,181,187,191,195,194,191,189,137,176,176,171,166,154,133,101,99,107,99,86,82,92,141,174,191,201,203,203,203,201,200,198,197,195,192,190,180,181,174,169,152,137,119,92,87,79,66,60,63,67,80,143,205,203,202,202,202,201,201,200,198,196,193,191,177,176,173,158,142,132,124,113,92,75,75,77,75,70,62,98,201,204,204,203,203,202,202,201,199,196,195,192,174,173,160,140,131,127,135,135,101,76,77,77,76,73,67,79,188,206,204,204,204,203,203,201,199,196,194,192,170,156,136,125,123,120,122,113,83,68,60,64,71,71,63,78,180,207,205,205,203,203,202,201,199,197,195,193,149,135,127,124,120,109,101,92,78,65,64,77,82,75,85,171,203,206,205,205,203,202,202,201,199,197,195,193,132,129,122,115,106,95,90,96,94,78,75,77,77,86,150,202,203,203,203,203,202,202,201,199,197,195,194,191,128,120,108,102,98,95,99,106,94,76,86,117,149,180,200,202,203,203,202,202,201,201,200,199,197,195,192,189,119,112,107,106,101,94,91,88,82,111,167,193,199,201,202,202,202,202,202,201,202,201,200,199,197,195,191,188,90,88,90,90,91,88,91,115,151,182,193,195,197,200,201,202,202,202,202,202,202,201,200,199,196,195,192,188,65,59,39,67,138,146,162,177,184,185,188,191,193,194,195,196,196,195,195,194,193,191,189,187,185,184,177,142,63,51,16,66,148,143,143,140,139,139,139,137,136,136,137,137,134,131,130,128,126,123,120,118,104,85,69,42,50,28,11,68,111,109,108,108,109,109,109,108,109,109,109,107,107,107,105,103,102,101,97,81,46,26,21,14,9,4,18,81,113,113,111,111,111,111,110,110,111,110,110,110,109,110,109,106,103,92,61,33,21,17,14,7,16,30,41,75,111,112,111,111,112,112,112,111,112,111,111,110,108,106,106,104,83,50,21,16,13,12,10,6
8,203,202,204,204,204,203,205,203,203,201,204,173,179,203,198,197,198,197,195,193,191,191,190,188,187,186,184,181,203,203,204,205,205,205,206,205,204,204,210,147,135,210,199,201,200,199,196,195,193,193,192,190,188,187,186,182,204,206,207,207,207,207,208,210,205,214,205,118,132,212,199,203,203,202,198,197,196,195,193,193,191,188,186,184,206,207,208,211,210,209,211,211,205,221,195,97,155,214,202,203,203,201,201,200,198,196,195,195,193,190,187,187,208,209,210,212,213,212,211,212,207,232,195,105,172,214,205,205,204,203,202,200,199,198,197,195,194,191,189,189,210,211,211,213,214,213,212,213,210,238,172,102,183,214,205,210,207,202,202,201,200,200,198,197,194,193,191,191,211,213,213,212,212,215,214,213,214,233,162,109,192,215,205,162,193,216,206,202,201,201,199,199,197,195,194,190,213,214,215,214,215,214,216,213,220,235,178,151,190,218,219,158,133,175,191,209,201,203,200,199,198,197,196,190,214,214,215,215,216,216,217,211,226,226,193,173,197,209,221,207,157,129,117,146,212,195,207,202,198,196,195,193,215,216,215,216,216,218,219,214,226,221,206,183,220,211,196,225,198,195,151,80,132,130,128,199,202,198,197,195,216,216,217,219,219,220,220,215,240,207,193,206,222,205,159,182,203,183,158,89,51,74,56,130,213,198,200,196,217,219,219,219,221,223,221,225,222,186,196,187,207,185,146,92,191,199,162,102,52,62,62,89,211,200,199,197,218,220,221,222,223,224,220,241,208,167,163,169,204,159,124,47,141,228,168,109,57,81,59,118,214,199,199,199,219,221,222,222,223,221,230,252,221,184,133,139,189,137,93,66,143,238,177,116,55,56,64,191,209,201,201,200,221,221,222,225,225,221,251,248,216,181,148,136,195,182,178,213,196,203,167,120,64,35,162,215,203,203,202,199,221,223,224,226,225,227,255,233,209,186,168,133,157,237,230,205,205,159,150,128,61,130,222,207,206,206,204,202,222,225,224,226,225,238,255,225,213,184,143,143,210,237,208,177,209,140,132,122,57,193,217,210,207,206,205,204,223,226,226,227,224,248,254,224,216,173,147,204,244,222,199,168,189,138,105,87,77,218,212,212,211,207,205,204,225,226,228,229,228,251,250,230,215,169,191,228,234,210,190,158,162,133,89,52,139,230,212,213,211,208,207,206,227,227,229,225,223,255,245,229,205,177,191,220,208,192,170,146,148,106,69,50,199,222,215,214,213,211,209,206,228,225,243,159,83,201,237,207,182,172,181,195,194,175,154,142,119,82,41,101,230,216,218,215,214,211,209,206,225,234,205,83,66,69,156,197,176,174,173,187,192,160,139,113,80,61,44,191,224,219,218,215,214,212,211,207,226,240,119,64,74,67,63,131,181,186,165,183,177,136,110,82,71,35,138,234,218,221,218,214,214,213,211,209,244,172,69,72,64,65,63,29,70,100,120,166,150,96,76,69,37,106,231,221,222,221,218,216,215,214,212,209,209,85,67,67,62,57,70,37,20,37,39,66,81,65,52,33,123,228,224,221,221,221,219,218,215,213,212,209,104,66,69,64,56,54,66,44,7,38,34,21,19,28,13,147,249,220,221,220,220,220,218,215,214,212,211,208,65,59,57,60,56,47,64,37,0,29,28,19,19,13,8,72,183,229,221,222,221,221,218,215,214,212,209,206,71,55,31,91,74,35,62,16,2,23,22,14,13,15,16,0,104,241,221,223,222,221,219,216,215,214,211,207
24,164,166,168,170,171,174,176,176,176,178,176,177,176,177,175,174,175,175,174,173,173,172,170,168,168,168,167,166,165,167,170,172,173,175,177,178,177,179,177,178,177,178,176,177,177,176,175,174,174,174,173,172,170,167,166,166,166,168,170,171,178,178,177,179,179,180,180,180,179,179,180,179,179,176,176,176,176,175,173,173,172,168,167,167,168,170,171,177,154,174,180,181,181,182,182,181,181,181,181,180,180,177,177,177,175,176,174,174,173,171,169,169,170,172,175,192,109,161,186,181,181,182,183,183,182,181,181,180,181,180,179,179,177,176,176,175,174,172,171,172,171,172,181,179,99,163,186,183,184,183,185,187,183,181,183,182,182,181,180,180,178,177,176,175,174,172,172,173,172,171,184,175,99,161,187,183,185,184,180,174,188,184,183,184,183,181,180,182,182,183,181,176,175,175,173,173,174,173,186,181,102,163,192,185,188,191,187,134,140,187,186,184,185,183,182,170,156,139,169,181,176,175,175,174,174,174,186,178,105,148,186,183,151,183,197,169,102,113,188,187,185,184,160,122,105,87,137,186,177,176,176,176,175,175,185,174,172,170,170,201,130,141,205,175,106,74,137,196,186,177,126,88,98,144,173,183,180,179,178,177,176,177,184,195,214,190,193,207,152,124,201,167,95,68,90,181,195,160,100,92,177,190,185,183,181,180,180,179,177,180,185,186,221,192,200,210,154,91,156,125,87,55,88,171,178,126,87,155,194,182,184,183,182,181,181,180,179,181,183,193,224,194,210,217,150,88,42,115,154,137,162,172,134,93,114,195,187,187,186,185,184,183,181,180,178,182,182,218,216,175,180,196,125,73,91,197,196,181,165,157,116,86,173,195,189,189,188,187,184,184,182,182,180,181,188,204,188,159,118,120,96,150,220,209,187,167,146,131,105,119,199,190,190,190,189,188,187,185,183,182,182,180,200,202,185,163,134,89,176,236,218,208,183,152,127,113,96,166,201,191,191,191,191,189,188,187,185,183,183,179,209,220,192,163,152,180,240,223,216,202,168,135,114,105,103,191,196,192,192,191,191,191,189,188,187,185,183,181,218,223,200,185,197,235,233,224,211,186,151,116,113,88,137,205,195,195,195,194,192,192,190,188,187,186,183,181,222,225,207,207,229,237,225,216,196,165,128,110,101,100,192,201,197,196,196,195,193,191,191,190,189,187,184,181,221,230,213,221,239,225,202,190,171,140,116,107,93,173,206,198,198,198,195,195,194,193,192,191,190,189,186,183,220,238,217,208,216,208,186,167,150,119,109,89,164,209,199,199,198,198,196,197,195,194,193,191,190,190,186,184,210,229,208,205,215,212,191,169,145,115,81,114,207,202,203,202,199,199,197,197,198,196,194,193,192,190,185,187,198,205,191,208,214,209,190,164,138,102,63,158,210,202,203,203,202,199,198,197,197,197,196,195,194,191,184,189,191,200,207,215,207,199,190,160,131,87,76,187,208,203,204,205,204,202,199,198,198,198,197,195,194,192,183,187,187,211,220,204,202,194,181,155,129,84,88,199,204,203,203,203,202,199,198,199,198,197,196,195,194,193,182,186,186,216,217,192,207,183,171,154,125,92,80,193,204,202,202,203,200,198,199,199,198,196,195,195,192,191,183,187,185,223,218,191,208,178,174,154,120,93,75,181,208,203,204,204,201,199,198,199,198,196,195,195,192,191,182,187,187,224,221,197,209,188,171,151,119,95,71,171,210,203,205,202,202,200,198,198,197,197,196,195,194,192
1,147,150,153,155,156,157,158,158,158,158,159,160,160,161,160,161,161,161,164,161,161,162,163,160,160,159,159,159,152,154,156,158,159,159,160,162,162,162,164,164,163,163,165,164,166,163,152,165,164,164,165,164,163,162,164,163,156,157,160,163,162,163,164,165,165,167,168,167,167,171,145,157,181,174,102,161,171,168,167,167,167,166,164,163,159,160,164,165,166,167,168,168,169,168,170,167,176,191,112,142,190,163,94,164,165,171,171,170,168,168,166,166,162,164,169,170,171,171,172,172,173,173,174,170,189,184,104,152,191,143,102,175,136,133,179,171,172,171,170,169,166,168,173,174,175,175,175,175,176,177,171,140,184,169,105,167,192,127,111,185,141,101,182,174,175,173,172,172,169,171,175,176,177,178,180,180,178,191,171,114,159,157,110,178,199,131,130,195,143,101,181,178,178,177,176,175,172,176,177,178,179,183,184,183,181,199,160,111,156,155,121,181,188,126,143,199,133,106,186,180,180,179,179,178,176,178,180,182,183,186,184,184,183,199,146,115,150,136,114,168,172,115,156,203,131,113,191,184,183,183,181,180,178,180,182,184,186,188,189,186,186,205,148,125,143,138,97,175,169,112,176,198,130,122,198,187,186,186,185,184,180,183,184,187,188,190,190,190,191,205,138,116,146,156,99,189,175,119,188,184,122,135,200,189,191,190,188,188,183,185,186,189,191,192,191,190,195,210,158,109,131,142,92,180,151,124,200,190,119,151,201,190,193,191,191,190,185,188,190,192,193,194,194,192,197,210,152,98,129,126,94,161,127,138,203,182,115,168,203,195,195,193,192,192,186,189,192,194,196,196,197,194,201,211,163,132,155,182,171,182,180,134,157,178,110,182,202,198,197,196,195,193,188,191,193,195,198,198,199,196,210,211,170,143,116,152,192,189,191,160,110,141,110,195,202,200,198,198,198,197,191,192,196,197,198,200,200,198,218,197,155,126,102,97,127,142,200,199,136,81,111,207,202,202,202,200,198,197,191,194,197,198,200,201,201,201,224,198,156,118,108,114,120,145,207,218,180,86,125,215,202,203,203,202,201,200,194,197,199,201,202,204,203,205,225,197,149,123,123,126,156,190,180,210,190,113,136,218,203,206,204,204,204,203,196,199,201,202,203,205,205,209,224,191,153,121,133,131,183,212,193,173,157,122,106,210,207,206,205,204,205,205,198,200,202,202,203,204,205,213,222,194,158,135,138,151,209,213,189,165,129,101,112,214,208,208,208,207,207,206,200,201,203,204,205,207,208,214,221,194,159,146,133,169,222,217,178,151,118,82,129,220,209,210,209,209,209,208,202,203,204,206,207,207,209,212,217,192,164,154,136,165,222,211,167,140,108,80,165,221,211,212,211,211,210,209,202,203,205,208,208,210,209,210,211,193,172,165,139,160,220,189,155,125,95,105,214,215,213,212,212,211,211,211,201,204,206,208,208,209,211,211,209,196,174,168,136,166,210,176,151,114,82,151,224,213,215,213,213,213,215,213,202,205,208,210,210,210,213,212,217,198,177,165,128,169,190,162,139,102,85,195,222,215,216,214,214,214,214,213,203,205,209,211,212,213,212,210,220,202,185,157,132,167,161,143,127,87,117,223,217,218,218,217,217,216,216,214,203,205,206,210,211,213,206,214,219,217,195,159,144,165,150,138,116,85,177,225,218,219,219,219,219,217,217,216,202,206,207,208,209,209,205,215,211,205,191,158,153,151,141,126,91,129,224,219,219,219,220,219,219,218,217,217
12,158,159,161,163,165,165,166,169,170,170,170,169,169,168,168,166,166,167,166,165,164,164,164,163,162,160,160,161,160,161,163,165,166,167,168,170,171,171,171,171,170,170,171,170,169,167,168,167,166,166,165,164,163,162,161,161,162,163,164,166,168,169,171,172,172,172,173,173,172,172,171,171,172,169,169,168,167,167,166,166,165,165,164,162,163,164,165,167,170,171,171,173,173,173,173,174,176,175,173,173,174,176,172,169,169,169,169,168,166,166,165,165,164,165,167,169,171,172,173,175,177,176,175,175,171,176,178,173,158,149,171,176,175,172,170,171,168,167,167,166,165,167,170,170,172,174,174,176,177,177,179,177,147,120,167,180,141,79,104,172,148,165,177,170,171,170,169,168,167,169,171,173,175,178,179,179,180,177,188,192,149,94,97,177,124,98,60,127,112,75,138,177,170,171,170,169,169,171,172,176,177,178,180,179,178,176,188,181,134,93,71,177,135,110,66,109,117,68,62,164,174,171,171,171,171,171,175,178,178,178,178,181,190,146,152,181,124,81,66,190,181,126,88,106,106,77,54,150,180,172,173,172,172,173,176,177,179,180,180,207,195,153,114,171,167,86,54,213,204,116,94,149,122,82,52,158,180,173,174,174,174,176,178,179,181,180,192,226,195,167,95,166,206,96,67,152,146,69,125,182,120,70,54,169,180,177,176,175,175,178,179,179,183,179,200,212,195,161,94,113,163,95,78,91,133,113,142,141,77,40,79,185,178,179,178,177,176,179,180,181,182,185,219,200,164,124,91,52,66,67,89,108,160,191,152,110,82,42,144,189,179,180,179,178,177,179,182,185,180,210,216,192,134,92,81,51,22,105,189,183,174,159,132,119,119,58,156,188,181,181,180,179,179,180,183,186,181,215,222,176,127,128,90,28,93,204,203,190,165,152,120,111,104,59,161,191,182,183,181,180,179,181,184,187,183,220,223,168,124,153,103,95,189,215,204,189,165,143,126,103,84,56,176,188,185,184,183,182,180,181,184,186,188,227,221,185,171,141,148,177,211,210,200,182,161,135,121,94,71,48,171,191,186,185,184,184,181,184,186,187,193,227,220,199,193,154,147,184,211,204,188,177,150,122,109,87,65,42,162,196,187,187,185,185,183,185,187,189,192,223,221,206,196,161,159,192,199,191,174,164,137,114,99,77,57,41,176,194,188,190,187,186,184,186,187,191,191,218,218,211,195,166,150,184,185,175,169,154,123,101,83,70,34,102,199,188,190,189,188,187,185,186,188,190,188,214,216,209,193,156,145,164,169,167,156,139,108,88,78,49,83,195,193,190,191,190,189,188,185,187,187,195,198,206,212,208,171,133,146,161,166,170,152,127,108,90,61,84,194,195,191,191,192,191,190,189,184,185,194,171,154,206,197,181,160,155,163,162,175,173,147,113,106,79,52,176,202,193,194,192,192,191,191,190,185,186,200,112,32,178,212,188,184,173,154,146,173,160,121,99,94,48,132,207,194,196,195,194,193,193,191,190,186,194,168,85,65,79,178,192,180,162,142,129,154,130,100,90,56,94,208,197,198,196,197,196,195,194,193,192,184,200,121,69,91,40,63,98,91,86,82,86,108,96,83,63,57,192,203,197,197,198,198,197,197,195,194,193,189,181,88,73,85,58,10,47,42,38,27,24,25,32,41,22,52,184,203,198,198,198,198,197,196,194,195,194,195,135,73,76,81,70,0,30,44,40,29,27,23,19,14,10,0,132,212,196,199,197,197,196,195,194,194,193
23,143,147,150,154,156,157,160,162,164,165,166,167,167,167,169,169,168,168,167,167,167,166,165,165,165,163,162,161,144,148,152,155,158,159,161,163,165,167,168,169,169,170,170,172,170,170,171,170,170,168,168,168,166,165,164,164,145,149,153,157,159,161,163,165,166,169,171,171,172,172,172,173,172,171,171,172,172,170,169,170,170,168,166,165,147,151,155,159,161,163,164,167,169,170,171,173,173,174,174,175,177,167,147,151,170,172,172,172,171,170,169,167,149,153,158,161,163,165,167,169,170,172,173,175,176,176,181,184,183,167,160,138,152,159,172,174,173,172,171,170,151,155,160,163,165,167,170,171,172,175,176,178,180,193,180,174,187,140,152,153,148,118,153,175,175,174,173,171,153,157,161,165,166,169,171,173,175,176,178,179,192,189,167,136,139,93,126,124,111,119,170,178,177,176,175,174,155,160,164,166,168,171,173,175,176,178,180,180,202,188,172,86,127,156,179,178,173,177,180,180,179,178,177,177,157,160,165,167,170,172,174,177,178,180,182,185,205,191,173,109,150,183,183,181,182,182,182,181,180,180,179,178,158,161,165,168,172,174,176,178,180,182,181,188,198,185,179,153,171,179,166,134,167,183,183,183,182,182,180,180,158,163,168,171,173,176,178,180,182,191,186,178,176,179,191,187,190,184,160,106,121,188,186,184,184,182,182,181,160,165,169,172,175,177,180,181,186,205,190,170,158,162,172,167,163,155,136,103,107,190,187,187,187,186,184,183,161,166,170,174,177,179,181,182,192,208,193,166,141,146,179,183,178,167,143,101,92,191,189,189,189,187,187,186,162,166,171,174,178,180,183,183,203,208,195,167,145,144,153,157,162,169,148,99,76,188,191,190,189,188,187,187,163,168,172,176,178,181,183,187,210,212,198,178,176,174,162,140,125,130,118,86,72,181,193,192,191,190,188,187,164,169,174,177,180,182,184,194,214,211,196,179,176,161,174,159,139,126,93,76,61,109,173,193,194,193,190,189,166,170,174,179,181,184,187,207,214,211,198,170,153,136,157,167,149,115,82,68,72,108,109,166,195,194,193,191,166,171,175,180,182,183,198,217,217,206,179,128,114,110,106,138,156,114,72,64,72,94,76,69,178,195,194,193,167,172,177,180,183,186,213,222,212,190,168,135,96,72,74,162,173,104,68,58,71,80,64,57,137,196,195,194,168,173,177,181,183,209,225,218,203,179,163,135,98,73,123,157,145,88,59,64,77,79,65,67,153,196,195,195,169,173,178,181,191,226,225,213,191,175,162,126,94,73,107,112,97,69,52,72,85,81,77,142,196,199,196,196,170,175,178,182,212,229,219,206,188,174,153,121,85,54,59,63,73,67,63,73,82,95,166,199,200,199,199,197,171,175,180,191,228,225,216,198,180,164,143,110,80,59,72,79,86,80,75,72,125,186,201,201,201,200,200,200,171,175,180,223,227,215,203,186,170,153,129,98,78,68,86,93,91,80,80,146,200,204,203,202,201,201,201,201,171,176,194,234,218,203,190,172,157,137,118,93,75,73,89,85,76,74,157,204,207,206,205,203,202,202,202,201,168,174,211,228,212,194,182,165,147,130,111,91,72,70,80,75,83,165,205,208,208,207,205,205,204,202,202,201,70,130,223,218,205,183,161,154,137,116,100,77,63,63,70,107,182,209,210,208,207,207,206,206,205,204,203,203,41,123,203,204,197,171,160,146,108,89,69,49,48,95,154,201,209,209,209,208,208,207,207,207,206,204,203,203
3,162,164,166,168,169,171,172,172,172,172,172,171,171,171,172,170,169,167,165,164,162,160,158,154,152,151,149,146,163,165,167,170,171,171,173,173,173,174,173,172,171,171,169,169,170,168,166,165,163,161,159,156,153,151,150,147,163,166,168,170,171,172,173,173,173,173,173,173,172,173,152,131,169,168,167,165,164,161,159,157,155,153,151,149,164,167,168,171,171,173,174,175,174,174,174,174,174,175,147,95,163,169,168,166,165,163,160,157,155,153,151,150,166,167,170,172,173,175,175,175,175,175,175,174,175,175,143,88,153,171,169,167,165,164,161,158,156,155,153,152,167,169,172,173,175,176,177,177,178,178,178,176,175,175,140,82,148,172,170,168,166,165,163,160,158,157,154,153,169,171,174,175,177,179,179,180,180,181,181,180,179,178,152,94,140,173,172,170,168,166,165,162,161,158,156,155,171,173,175,178,179,181,182,182,182,182,182,181,180,175,144,92,129,175,174,172,171,168,166,164,163,160,158,157,172,175,177,180,181,182,184,184,184,184,183,182,184,165,126,90,121,171,176,173,172,170,168,166,164,162,160,158,173,176,180,182,183,185,186,186,187,187,187,184,188,188,162,118,139,131,166,176,173,172,170,168,165,164,161,160,174,178,181,183,185,187,187,189,189,188,188,181,146,140,162,129,154,107,124,176,174,173,171,170,167,165,163,161,176,180,183,185,186,187,188,190,191,189,182,181,144,111,120,130,141,118,82,133,175,175,174,172,169,166,164,162,177,180,184,185,187,187,189,190,191,187,141,129,163,132,99,133,133,131,96,83,154,177,175,173,170,168,166,163,179,182,185,187,188,189,190,192,193,182,150,123,137,148,106,116,118,125,110,80,142,179,177,174,171,170,167,165,179,183,186,188,188,190,192,193,192,156,160,139,110,143,107,68,65,128,119,76,154,180,178,175,173,171,168,166,181,184,187,189,190,192,193,195,175,127,118,134,90,111,97,60,56,123,126,80,164,181,179,176,174,172,169,167,181,183,187,189,191,193,193,196,174,131,87,115,70,86,107,82,85,133,126,80,169,182,180,177,175,174,171,168,182,184,187,190,192,193,195,192,159,123,90,95,83,78,119,91,124,135,115,79,175,184,181,179,177,175,172,169,182,185,189,191,194,195,195,192,172,141,100,81,84,99,144,136,143,124,87,98,185,185,183,181,178,175,172,170,183,186,189,192,194,195,197,194,178,154,116,98,93,148,179,165,136,111,72,144,187,185,184,182,179,177,173,171,184,187,189,193,194,196,197,194,177,158,127,107,103,167,171,153,130,104,78,178,188,186,184,183,180,178,174,172,184,187,190,193,195,196,198,194,169,152,132,118,113,165,163,144,122,90,105,191,190,187,185,183,181,179,175,172,182,187,190,194,195,197,199,199,173,156,142,132,119,155,156,134,104,74,155,193,191,189,187,185,183,179,176,174,183,187,191,194,195,197,200,201,186,162,152,135,117,134,135,111,80,94,191,194,191,189,188,186,183,180,178,175,183,187,191,195,196,197,199,201,195,172,155,138,121,118,118,96,67,156,195,194,193,190,188,186,183,181,178,176,184,188,192,194,196,199,199,201,196,180,154,142,134,122,111,84,88,192,196,195,194,191,188,186,184,182,180,176,183,187,191,194,196,200,201,201,189,180,163,156,140,123,101,74,119,197,196,195,195,193,190,186,185,182,181,178,183,187,191,194,197,200,201,199,181,184,171,158,137,115,89,65,148,198,196,194,193,192,189,187,184,182,180,177
0,204,204,204,204,204,204,204,204,203,203,201,201,201,201,200,199,199,198,197,196,195,195,194,193,192,191,189,189,205,206,205,205,206,204,204,205,205,203,203,202,203,201,201,199,199,199,199,198,196,195,195,193,191,191,191,190,205,206,206,206,206,205,205,206,205,204,204,204,205,202,202,201,201,198,198,198,197,197,196,194,192,192,192,191,207,207,207,206,206,205,207,206,206,205,205,203,196,205,205,203,203,206,199,199,198,196,196,195,194,193,192,191,207,208,209,209,207,207,207,207,205,209,205,186,156,156,198,177,158,166,204,196,195,201,196,198,197,193,192,192,208,208,209,209,208,207,208,197,171,175,198,178,157,126,147,168,144,116,153,162,140,154,199,181,184,196,192,192,210,209,209,209,208,207,208,193,173,146,161,194,157,132,137,181,153,127,114,158,135,102,151,167,147,200,193,192,210,210,209,208,208,209,207,208,186,167,135,181,163,137,133,180,158,127,124,168,148,110,107,164,137,198,194,193,211,211,209,209,209,213,206,194,192,169,124,170,170,138,131,178,157,127,108,155,141,111,98,156,128,184,199,195,212,211,211,211,210,213,196,161,189,150,117,171,159,127,124,167,145,118,98,145,132,103,99,158,130,144,203,194,212,212,211,212,212,208,179,147,186,141,117,166,141,112,118,158,136,109,107,164,145,97,96,160,152,118,174,200,212,211,212,211,214,209,195,171,183,155,130,161,149,115,119,166,143,100,145,184,145,89,111,163,155,120,134,206,212,212,213,212,214,201,182,164,164,154,128,167,163,115,136,178,152,109,137,172,113,87,152,171,153,107,146,205,212,214,214,215,211,184,161,144,132,119,113,168,155,110,128,179,151,104,69,85,73,126,175,170,136,104,189,199,215,214,215,213,209,191,168,145,124,117,114,124,133,109,93,119,119,118,138,108,118,174,171,158,108,143,208,195,215,215,215,212,205,190,170,146,127,124,130,126,131,135,128,131,161,182,178,172,152,162,161,133,102,190,202,197,216,215,216,215,207,192,173,152,130,122,129,138,154,165,173,184,187,177,167,166,146,143,148,104,132,208,198,199,215,215,215,213,208,192,175,158,140,131,131,141,171,183,191,189,184,173,164,161,139,127,130,90,177,206,200,199,215,216,216,213,210,195,180,164,146,145,137,168,195,193,193,189,181,168,160,155,130,117,93,128,209,201,202,200,216,216,215,213,212,200,184,171,160,156,163,190,197,195,193,187,176,166,153,142,120,90,112,200,205,202,202,201,216,217,216,214,212,201,187,177,168,162,183,192,197,198,192,176,169,159,145,131,96,102,200,206,203,204,202,201,216,217,217,213,210,205,193,181,170,165,189,194,198,196,184,168,159,149,135,105,92,191,209,202,204,205,203,201,216,217,218,212,208,204,195,185,172,165,187,195,189,184,171,158,145,137,112,87,180,213,204,206,204,204,203,202,217,219,219,215,209,207,198,192,181,170,182,189,180,172,160,146,134,111,83,170,215,206,208,206,205,204,202,202,218,218,220,216,212,204,197,193,186,175,180,183,172,159,150,136,109,84,168,217,206,209,207,206,205,204,203,202,218,218,219,215,209,202,205,205,195,182,177,175,160,149,140,115,86,172,219,209,211,209,207,205,206,204,203,203,218,218,218,214,213,201,204,205,190,181,172,168,150,133,124,90,169,221,210,211,211,210,208,207,207,205,204,203,218,219,217,210,206,186,201,193,183,177,168,154,142,128,100,125,222,211,212,211,211,210,209,208,206,206,205,203
15,93,102,112,115,117,122,129,136,140,145,149,153,156,158,161,164,166,170,172,175,177,179,180,181,183,184,185,186,95,103,112,116,117,121,130,136,140,146,150,153,156,159,162,164,168,171,173,176,179,180,181,183,185,186,187,188,95,104,113,116,119,125,131,137,142,148,151,153,156,160,163,167,170,172,176,178,179,181,183,185,186,186,188,189,97,106,115,118,121,127,132,138,143,147,151,155,158,161,164,168,171,173,177,178,179,181,184,186,187,187,188,189,97,106,113,117,121,125,132,139,144,148,152,155,158,162,165,168,171,173,176,178,181,183,185,186,186,187,189,190,106,112,122,124,126,134,139,143,140,144,148,151,157,162,165,167,171,176,180,179,182,185,186,188,189,189,190,191,139,126,132,134,135,146,154,156,160,158,150,147,148,149,160,160,154,155,164,182,185,184,188,190,190,191,191,192,121,102,108,117,131,145,149,158,174,168,158,160,163,171,166,167,168,145,130,122,167,191,186,190,190,191,192,193,90,88,96,99,106,118,126,141,167,175,174,174,174,178,182,167,163,181,136,105,94,158,195,188,190,192,192,193,103,114,118,117,119,122,127,129,137,151,166,186,190,160,163,171,134,189,135,107,121,101,158,196,187,192,192,192,101,111,118,119,125,133,135,145,137,119,126,131,158,155,136,146,125,193,139,96,137,143,85,165,193,190,191,193,103,113,119,119,125,130,135,164,129,109,100,111,142,151,117,111,117,155,135,116,135,145,96,87,188,191,190,191,103,113,118,119,125,127,149,178,110,98,108,128,157,149,120,109,118,107,108,122,138,126,86,62,115,201,188,191,104,113,117,119,124,130,144,190,124,97,128,140,153,140,116,111,113,112,111,126,140,137,89,67,60,136,198,194,104,114,119,119,126,128,161,194,188,150,129,114,119,112,95,96,98,108,123,134,138,133,98,70,68,63,123,190,104,113,118,120,124,127,172,195,182,191,164,109,60,55,56,50,55,76,107,125,120,113,91,79,78,72,61,94,103,113,117,119,125,129,152,192,184,166,173,182,103,26,37,30,35,42,72,115,121,115,106,104,92,80,75,67,93,98,104,107,112,115,120,173,187,164,157,189,112,45,38,32,43,36,69,127,137,136,130,122,106,86,78,77,72,75,77,76,80,77,87,190,178,161,149,147,76,51,41,36,47,45,57,108,130,133,131,123,107,89,77,82,81,81,82,82,85,85,87,164,192,168,132,124,104,56,42,44,48,56,66,80,104,114,120,115,105,88,79,81,82,81,82,84,85,87,84,96,141,159,143,130,121,76,50,51,47,55,70,74,86,107,112,106,94,88,85,82,82,82,84,84,85,87,88,86,86,92,94,94,86,79,59,54,46,51,69,79,70,92,104,101,93,89,87,86,82,82,84,85,85,84,86,87,87,90,89,88,87,93,89,75,74,68,78,91,82,82,96,92,88,82,83,86,81,81,82,84,86,86,88,88,88,91,92,92,94,102,107,122,118,101,117,125,130,121,115,108,87,77,91,94,81,81,82,83,85,87,87,87,88,90,90,91,92,91,90,116,108,130,158,160,153,146,131,118,97,95,113,111,80,81,81,83,85,86,86,87,88,91,91,91,92,93,91,90,90,106,130,141,147,126,109,98,104,113,115,131,81,82,82,83,84,85,87,87,88,89,89,90,90,89,91,92,93,94,88,102,113,98,111,120,113,104,117,144,80,81,82,83,84,84,86,87,87,87,87,88,89,90,91,92,92,93,93,94,91,107,128,130,104,110,127,145
13,163,165,168,169,171,173,175,176,177,179,179,178,179,179,179,179,179,179,180,179,177,177,178,176,176,175,175,174,164,166,169,171,172,174,175,178,179,179,181,180,180,180,180,181,180,180,181,180,178,179,179,178,176,175,176,176,166,168,171,172,174,176,177,180,180,180,181,181,181,182,182,183,181,181,181,181,180,180,179,179,178,178,178,177,167,169,172,174,175,177,179,181,181,182,182,183,184,184,184,184,183,182,182,180,180,181,180,180,181,180,180,179,168,170,173,175,177,178,180,182,182,183,184,185,185,185,184,184,179,182,192,167,138,165,182,182,182,181,181,180,169,171,174,176,178,179,181,182,184,185,186,186,184,175,191,193,155,155,205,167,110,114,171,161,168,182,182,181,171,173,176,178,179,180,182,183,185,186,186,193,187,148,160,200,158,134,198,164,108,78,146,131,109,176,184,183,172,174,176,179,180,181,183,185,186,186,190,216,200,158,120,188,164,127,192,157,103,82,150,134,83,155,186,184,173,175,177,179,182,184,185,186,189,187,205,217,209,168,115,171,166,113,179,162,95,109,169,134,73,136,188,183,174,176,179,180,183,185,187,188,188,192,214,192,202,168,107,149,164,107,175,173,102,92,124,94,64,136,189,185,175,177,180,182,183,185,186,187,187,203,215,192,198,153,99,145,153,96,109,130,83,78,118,110,76,144,190,186,176,179,180,182,184,186,187,187,199,218,201,175,187,137,98,163,145,99,38,42,49,115,166,162,106,155,190,188,178,179,181,184,186,187,189,187,209,222,191,157,166,135,99,171,153,98,40,87,118,155,170,164,120,154,191,188,179,181,182,185,187,188,190,190,216,219,192,159,139,135,90,178,184,111,112,187,184,164,140,125,105,127,191,190,180,181,183,186,189,190,192,194,225,218,199,179,150,116,87,150,168,151,194,199,177,154,128,103,90,100,186,191,181,182,185,187,190,192,192,197,230,218,201,184,167,133,124,135,179,204,207,189,166,144,117,96,84,103,188,192,182,185,187,189,192,192,193,200,231,218,200,188,173,147,136,153,207,215,202,177,152,132,108,91,79,142,194,193,183,185,187,190,193,194,194,198,228,221,203,191,177,154,144,171,211,213,196,169,142,120,99,83,89,180,195,194,184,186,189,191,193,194,195,198,228,222,206,193,177,159,158,186,200,197,181,159,136,112,90,73,118,196,196,196,184,188,190,192,194,195,196,198,227,221,205,192,174,161,173,188,178,175,162,144,125,101,79,91,171,198,196,196,186,188,192,194,195,197,198,198,228,220,210,192,173,169,184,183,165,159,143,126,107,83,103,172,197,198,197,197,187,189,192,195,196,197,198,202,233,224,217,195,181,180,189,175,157,142,126,111,87,103,179,199,200,199,199,199,187,189,192,195,197,197,195,216,237,228,220,195,187,189,183,162,143,123,112,91,98,175,202,202,200,200,200,200,188,189,192,194,198,198,197,226,229,225,217,193,188,185,172,146,125,109,94,91,162,200,203,202,201,201,201,201,188,190,193,195,198,198,201,225,214,208,202,185,182,180,157,131,114,100,84,147,200,204,204,203,202,202,201,201,189,192,194,197,199,195,205,223,204,191,186,174,178,173,140,123,109,87,109,190,206,205,203,203,202,202,201,201,190,192,195,197,200,191,214,222,196,186,181,169,169,154,127,117,96,82,151,204,207,206,204,203,203,203,202,201,190,193,196,198,198,192,226,218,184,179,180,167,157,140,120,107,82,96,180,207,207,207,206,205,204,203,203,201
15,87,91,94,95,99,100,104,117,126,134,141,145,151,153,155,158,161,164,167,171,173,174,177,179,181,182,183,184,87,90,88,88,93,97,105,117,126,134,141,146,152,153,156,158,162,166,167,171,174,176,179,182,183,182,183,184,90,83,117,151,109,96,101,115,127,136,141,148,153,154,155,158,162,165,168,172,174,176,179,182,183,181,183,185,92,74,155,193,168,145,127,118,125,129,142,151,154,156,155,158,162,166,170,173,177,178,179,180,182,182,186,186,89,83,112,167,157,154,161,151,147,133,131,133,141,146,152,159,166,171,172,173,175,179,179,181,184,184,186,188,88,92,86,110,121,116,137,148,153,158,149,138,137,135,139,140,141,149,159,169,179,177,180,181,185,186,187,189,88,89,92,93,97,100,114,119,118,147,151,148,142,143,152,155,140,122,114,104,162,184,181,185,186,187,187,190,88,90,93,96,96,99,108,115,109,124,134,131,127,123,149,165,166,140,129,97,88,172,186,184,187,188,190,192,88,89,91,94,96,98,110,122,127,133,133,133,126,121,157,160,165,148,148,127,98,104,182,186,187,190,191,193,87,89,90,93,96,98,110,120,126,137,146,149,141,159,176,161,157,168,156,147,130,94,108,187,187,191,192,194,86,88,90,93,96,100,108,119,135,137,141,150,160,187,179,135,156,172,151,168,147,117,79,118,194,187,192,193,87,88,89,93,97,97,113,162,145,147,142,132,166,164,135,114,142,166,144,182,157,120,99,72,144,197,191,194,87,88,90,93,96,93,125,172,161,175,178,150,119,127,102,67,132,146,144,181,159,124,103,86,79,163,198,195,87,88,92,94,95,96,111,134,143,179,189,153,128,140,133,109,127,134,152,158,150,126,106,89,81,83,172,199,86,87,89,91,93,98,107,121,139,157,154,134,145,150,140,146,147,140,117,109,127,117,103,86,84,71,98,188,86,87,86,88,91,96,109,120,128,136,128,118,142,152,147,153,161,146,111,85,98,100,95,93,85,84,72,112,84,87,86,88,90,94,108,119,126,133,193,132,102,113,146,153,156,140,104,87,94,92,92,96,91,86,84,72,82,83,84,89,89,94,106,119,127,131,204,158,96,41,79,133,147,134,104,93,95,92,94,99,94,90,86,79,82,82,84,87,87,94,108,117,127,131,188,150,84,63,55,73,128,105,91,91,97,98,97,98,95,93,89,81,81,82,84,86,86,94,107,117,129,131,187,149,74,107,73,70,107,120,100,98,103,106,102,97,94,92,89,87,79,81,82,85,85,92,104,115,126,128,179,145,70,152,82,126,92,131,126,117,109,102,99,95,91,89,87,89,79,80,80,84,84,90,102,114,127,121,195,143,60,162,133,96,152,120,108,96,98,95,94,94,93,94,92,89,78,77,76,79,77,85,99,111,123,123,187,125,64,151,172,65,161,148,89,115,80,77,82,80,80,85,89,92,127,122,121,123,123,126,127,130,134,134,146,88,104,160,138,93,158,163,155,169,110,67,67,66,67,71,79,87,101,100,102,104,108,107,104,101,98,97,99,87,102,108,104,102,110,110,111,110,109,83,72,80,88,93,95,97,100,101,100,100,99,98,100,98,93,95,98,103,101,99,100,102,100,99,99,99,100,101,100,108,103,111,108,114,103,102,103,105,102,103,104,103,102,103,106,104,103,106,108,106,104,105,106,106,108,108,103,135,120,120,114,123,106,103,102,103,103,104,106,106,107,106,106,103,103,105,106,106,105,106,105,104,105,109,98,136,154,135,132,134
13,156,160,164,166,168,169,171,173,175,177,177,177,178,179,179,180,180,180,179,179,178,176,175,174,173,173,171,170,157,160,164,167,169,171,172,175,176,178,179,179,179,180,181,181,181,181,181,181,180,178,177,176,175,175,173,172,157,161,166,168,170,171,173,176,179,179,181,182,182,183,183,183,183,183,182,183,182,180,179,179,177,176,175,174,158,162,167,169,171,173,175,178,180,180,182,184,184,184,178,159,156,181,177,158,158,178,181,180,179,178,177,176,159,163,168,171,172,174,176,178,180,181,183,185,185,186,173,142,116,141,154,128,99,139,184,182,181,179,179,177,160,164,168,172,173,174,178,180,181,183,184,186,186,191,189,156,129,95,128,132,97,95,180,184,182,181,180,178,161,165,170,172,174,176,179,181,183,184,185,186,187,190,196,164,130,86,106,129,100,79,171,186,184,182,181,179,162,166,170,173,174,177,180,183,184,186,187,188,188,190,187,163,123,87,83,109,89,71,166,187,184,183,183,182,162,166,170,174,176,178,181,184,185,187,188,187,183,188,177,161,123,93,74,101,85,72,168,188,185,185,184,182,162,167,172,175,176,179,182,184,187,189,190,176,140,129,130,150,145,111,83,112,98,79,175,189,187,186,184,182,163,168,172,175,177,180,182,185,187,189,193,168,125,104,96,140,167,127,88,104,98,68,152,191,188,187,185,184,164,168,173,176,178,181,183,185,187,183,171,160,135,122,92,96,148,115,80,87,82,70,103,184,190,188,187,186,164,169,174,177,179,182,184,185,188,170,123,119,148,133,107,58,62,57,69,83,84,91,84,146,192,189,187,186,164,169,174,178,180,181,184,190,196,159,120,101,137,139,116,80,35,46,63,86,109,111,95,100,186,190,188,187,164,169,174,178,180,182,185,196,178,152,132,117,109,137,121,98,50,61,99,114,125,117,100,80,173,192,190,188,165,170,175,179,180,182,187,197,161,143,138,119,99,118,119,92,56,67,131,149,142,109,93,80,174,193,190,189,166,170,175,180,181,183,187,195,163,125,119,110,92,79,94,73,57,83,144,152,144,111,81,90,186,193,191,189,166,171,176,180,182,183,188,189,171,141,110,90,67,46,74,83,76,118,162,150,137,107,72,113,195,194,192,189,167,172,176,180,182,184,187,189,184,161,128,101,82,74,86,97,110,165,169,144,125,100,68,142,198,195,193,190,167,172,177,181,183,186,187,188,184,170,145,128,108,107,120,142,163,177,160,135,113,92,71,168,197,195,193,192,167,172,178,181,182,186,187,188,180,164,147,127,108,110,130,173,175,165,146,125,104,81,81,187,198,195,194,192,166,172,177,181,182,185,188,189,171,155,145,128,114,115,124,163,168,157,135,113,95,71,101,197,198,197,194,193,166,172,177,182,184,186,189,192,175,157,146,132,124,119,121,157,164,152,126,100,84,62,140,201,199,197,195,193,167,173,178,182,183,186,188,193,188,160,148,139,127,115,114,142,152,139,111,87,69,77,183,200,199,196,195,193,168,173,179,181,183,185,188,192,194,179,154,139,124,113,109,127,139,126,100,80,60,130,201,200,198,196,195,194,168,173,179,182,183,186,189,192,194,193,169,141,122,112,112,119,131,123,98,78,70,175,201,200,199,197,195,193,167,172,178,181,183,184,188,191,193,192,178,152,135,129,130,127,129,123,93,73,100,195,200,198,198,196,195,193,165,171,176,180,181,183,187,190,192,187,183,161,149,145,139,133,129,117,89,70,129,201,200,197,196,195,194,192
5,145,145,145,145,147,147,146,146,145,144,145,145,144,142,141,141,139,137,136,135,134,133,132,130,129,129,128,127,150,149,149,149,150,150,149,149,150,148,146,146,146,145,145,144,142,141,139,137,137,136,134,132,130,130,130,129,154,154,155,153,153,154,154,153,153,153,151,150,150,150,145,147,144,140,144,140,138,138,137,135,134,132,130,128,156,157,157,156,155,159,158,157,155,156,155,154,152,147,149,168,105,116,152,143,142,140,139,137,136,134,132,129,159,160,161,160,163,149,157,162,159,159,157,155,159,151,134,95,68,137,150,145,146,145,142,140,139,137,135,132,163,164,167,162,186,117,121,174,163,162,159,171,162,104,79,105,144,154,151,149,148,147,145,143,142,140,137,135,168,168,169,167,182,93,119,178,166,159,168,164,98,87,160,170,164,159,155,155,157,151,148,147,145,142,139,139,172,171,171,173,166,88,146,179,163,145,137,91,94,143,112,114,113,114,113,109,134,149,152,151,148,145,144,143,175,175,175,176,148,92,168,180,163,120,81,88,167,87,70,83,104,118,121,118,114,136,110,146,152,148,147,146,178,178,179,179,163,92,148,186,156,110,80,104,119,75,82,75,83,84,72,85,93,92,96,154,152,151,149,147,181,181,181,182,168,94,133,193,145,106,83,79,91,91,63,46,43,41,45,52,56,59,130,160,158,153,151,150,183,184,184,183,161,108,89,180,145,95,62,62,76,70,46,51,63,58,75,76,101,119,108,94,151,160,153,152,185,187,187,190,151,122,114,114,116,97,76,60,54,36,46,72,50,82,122,127,147,124,114,106,104,155,157,154,189,188,190,191,186,141,139,124,95,101,86,59,57,46,49,49,90,177,183,180,174,148,153,145,100,158,160,157,190,190,191,190,194,179,141,157,150,115,72,51,45,58,43,113,185,179,174,176,146,143,152,98,132,170,158,159,192,192,193,194,192,198,171,162,163,131,91,46,48,40,75,200,184,178,184,159,122,150,116,93,171,166,164,161,194,194,195,196,195,197,192,159,170,143,101,50,48,43,86,164,176,193,172,140,133,129,63,140,178,167,167,164,195,196,196,196,197,198,196,168,175,152,110,61,48,68,66,82,107,138,129,134,129,72,108,181,172,171,169,166,196,197,197,197,198,198,198,164,180,163,115,72,50,68,71,86,110,92,106,130,82,105,187,176,173,172,170,167,197,198,199,198,198,198,201,164,183,162,115,88,54,61,71,85,107,110,87,81,91,186,181,177,175,174,171,168,201,199,201,202,201,201,202,165,186,161,122,101,61,56,74,90,103,96,62,59,176,187,181,180,177,176,173,171,202,202,203,203,203,204,200,169,181,159,128,102,64,51,76,88,93,72,52,165,193,184,183,182,180,177,175,173,203,203,204,204,204,205,202,170,168,151,126,103,66,49,73,76,77,39,117,204,185,188,185,184,183,179,177,174,205,204,204,205,206,206,203,169,165,151,123,103,66,52,67,74,56,58,190,194,191,189,187,186,185,180,177,176,206,206,205,205,206,208,198,171,168,148,123,99,65,53,63,55,40,158,203,192,193,190,189,188,185,181,180,177,206,207,207,207,208,211,194,178,171,152,130,91,58,51,41,43,153,207,194,196,194,191,189,188,185,183,181,178,205,206,206,208,209,207,190,178,168,156,124,78,53,39,79,182,208,199,198,196,196,193,190,189,187,184,182,180,205,206,205,207,207,201,177,159,163,147,109,66,51,51,189,210,195,200,197,195,194,192,190,188,187,184,182,181
11,139,142,144,145,146,147,148,149,150,150,150,150,150,153,152,153,152,151,151,151,150,149,149,149,148,146,145,145,140,144,145,145,147,149,150,150,151,152,151,154,156,148,155,155,154,153,153,153,152,151,151,151,151,149,147,146,144,145,147,149,149,150,152,153,154,155,152,162,170,109,154,157,155,154,155,155,155,154,153,153,153,152,150,149,145,146,148,150,151,152,153,156,156,157,152,175,169,91,150,158,156,156,157,157,157,156,156,155,154,153,151,150,146,148,150,152,152,153,155,157,157,157,155,197,152,91,157,158,158,158,157,158,158,158,157,156,155,154,154,152,149,150,152,153,153,155,157,158,160,155,170,206,119,102,165,157,159,159,160,159,159,158,158,158,157,155,156,154,150,152,153,154,156,157,157,159,161,154,193,198,100,131,167,160,161,162,163,161,160,160,160,160,158,157,157,155,152,154,155,157,158,158,158,161,157,168,207,170,92,150,165,163,163,163,164,162,161,162,163,161,159,159,158,157,152,155,156,157,159,160,161,162,161,197,203,131,95,168,165,164,164,164,164,165,164,164,163,162,162,160,159,159,153,155,157,159,160,162,163,159,179,207,189,93,119,173,164,165,166,166,166,166,165,165,165,164,163,162,160,160,156,158,159,160,162,163,165,161,192,207,172,76,152,172,165,166,165,166,167,167,167,166,165,164,163,163,163,162,157,158,161,162,164,165,165,169,204,207,155,128,183,146,165,169,167,168,168,169,170,168,166,166,165,164,164,163,158,160,162,163,166,166,160,186,207,205,201,198,168,100,145,174,168,169,170,170,170,169,168,167,166,165,165,164,158,160,163,164,162,166,176,203,207,207,206,158,104,89,131,176,169,170,171,171,170,170,169,168,169,167,166,164,159,161,164,166,186,200,206,206,207,194,178,141,88,85,115,176,169,171,172,172,172,171,170,169,170,170,166,165,160,164,161,187,207,206,206,205,207,168,100,110,90,92,100,172,173,173,173,173,173,172,171,171,170,170,169,167,162,164,167,203,203,201,206,207,197,148,94,90,92,92,96,166,176,173,175,173,173,173,173,173,171,171,170,170,164,162,181,207,204,207,205,185,153,157,114,88,87,93,97,166,176,175,177,175,173,174,173,174,172,172,172,171,167,163,196,207,205,192,160,123,99,165,136,95,81,82,108,175,175,174,176,176,175,175,175,174,174,172,172,171,164,171,206,207,194,147,105,68,51,168,149,92,91,137,168,180,182,183,182,179,177,181,178,175,175,172,173,172,162,186,207,200,176,134,100,59,110,169,101,67,101,174,181,173,161,139,119,110,110,124,168,180,175,175,174,175,165,200,207,196,158,114,82,55,98,108,50,57,52,66,94,97,97,94,91,98,95,83,91,159,180,176,176,175,179,207,206,181,129,89,68,59,57,59,58,61,66,61,70,91,106,117,111,109,101,90,69,101,184,172,175,175,200,207,200,158,117,87,62,57,57,60,67,73,79,82,99,111,112,111,113,119,139,144,122,138,181,174,174,174,206,207,189,144,109,80,55,57,65,79,89,90,93,98,110,105,125,155,175,182,184,185,186,182,177,177,186,139,207,205,173,132,102,75,55,74,89,100,106,106,102,92,106,148,185,186,184,182,181,180,179,180,186,175,134,82,207,195,157,121,95,74,64,93,106,106,105,111,92,129,176,186,182,182,183,183,182,182,181,186,159,100,72,65,203,180,139,111,93,76,70,95,102,103,105,94,126,191,184,183,184,183,183,185,184,183,186,157,89,78,71,62
1,55,57,61,64,74,90,101,106,108,113,118,122,125,127,133,133,135,137,138,138,140,141,142,142,143,144,144,144,56,58,62,66,77,91,102,108,110,116,121,123,127,139,121,136,138,137,138,139,139,141,142,142,142,143,143,143,57,60,63,67,79,94,106,110,114,120,123,124,139,162,91,115,130,139,139,140,141,141,142,142,142,142,143,142,57,60,65,68,81,97,108,113,118,122,133,127,132,168,87,98,102,121,148,143,144,143,143,144,143,144,143,143,58,61,66,69,84,100,111,115,122,123,159,136,102,168,86,101,114,90,153,147,148,148,147,146,146,146,145,144,59,63,67,70,86,103,114,118,125,126,163,141,95,156,85,96,123,75,146,153,152,152,152,152,149,150,149,148,61,63,67,73,90,105,115,119,128,128,167,143,85,150,101,96,129,77,139,161,155,156,156,156,154,154,153,152,61,64,68,75,93,108,118,122,132,136,158,146,79,128,101,98,141,84,131,168,160,161,161,159,158,157,156,155,61,65,68,77,96,111,120,122,144,142,136,147,77,109,100,86,137,84,128,172,163,165,165,164,162,161,160,160,63,66,69,79,99,114,123,121,166,135,126,145,77,123,110,84,155,100,126,177,167,168,168,167,166,166,166,165,63,67,70,81,102,117,125,125,173,120,122,157,84,118,110,85,162,113,120,180,171,172,172,171,170,169,169,167,65,68,70,83,105,119,126,131,175,113,109,157,79,88,99,85,157,115,112,183,173,174,174,174,173,173,172,171,67,70,71,86,107,122,128,137,179,118,87,146,86,88,98,115,141,105,107,185,176,178,178,177,176,175,175,174,67,70,72,89,109,124,131,140,185,128,68,158,150,118,120,134,120,82,97,184,179,181,180,179,178,177,178,177,67,69,72,91,112,127,133,143,181,120,101,134,124,113,116,109,106,104,84,176,184,182,182,182,181,180,179,179,67,69,73,93,114,129,134,148,185,141,133,101,94,113,116,96,114,136,107,133,193,183,185,185,185,185,184,183,67,69,74,96,116,132,135,158,192,148,119,92,105,99,122,134,152,162,150,99,154,194,185,187,185,185,186,186,68,69,76,99,119,135,136,167,194,144,107,90,105,114,148,187,161,163,167,105,88,185,190,189,188,188,187,186,68,70,77,101,122,138,137,170,196,144,102,97,112,125,167,189,193,169,133,86,78,170,196,189,189,189,195,199,68,70,79,105,124,139,141,167,200,151,103,101,118,141,173,185,189,163,118,82,82,183,193,192,201,196,168,123,69,69,81,106,126,141,142,165,197,162,115,100,125,148,180,191,182,153,115,79,94,196,197,192,142,91,52,37,68,69,83,109,129,143,145,164,195,176,133,104,128,146,184,192,169,142,110,75,111,210,180,89,38,35,41,39,67,68,84,111,130,143,147,160,186,179,145,113,125,147,185,184,163,134,103,68,141,176,71,47,48,27,43,41,66,67,84,111,132,143,146,158,174,177,152,125,127,145,180,175,156,125,96,73,105,60,29,42,57,26,26,48,66,67,86,114,134,145,149,159,166,175,158,136,134,132,172,163,147,113,89,71,60,49,44,23,47,43,15,35,61,62,84,114,136,147,151,161,168,171,159,140,137,123,152,150,132,102,83,64,68,54,42,24,26,52,22,19,76,76,92,116,134,145,151,160,169,170,160,145,138,125,127,141,121,94,73,59,68,56,36,28,17,39,37,12,101,103,101,99,103,109,112,115,116,129,168,149,141,127,115,129,113,88,63,54,65,46,44,26,17,25,44,16
7,179,179,180,180,180,181,180,180,179,179,179,179,177,177,177,176,175,173,172,172,171,172,159,88,74,64,66,89,182,182,181,182,183,183,182,183,182,182,181,181,179,179,179,178,178,174,173,174,173,171,178,109,65,51,60,77,183,184,184,185,187,185,184,185,185,185,184,183,182,181,181,180,179,177,177,176,175,174,180,134,48,40,58,65,185,186,189,187,188,188,187,186,186,187,186,186,185,184,181,181,181,180,179,178,177,176,176,169,56,28,46,59,186,188,190,189,189,189,189,189,189,189,188,188,188,189,186,184,184,183,181,180,180,177,176,180,132,73,52,73,188,188,190,191,192,190,191,192,192,191,189,188,188,175,174,180,177,170,164,169,158,176,174,175,135,136,150,136,190,192,193,195,195,194,194,193,191,192,191,192,192,170,156,179,186,170,156,159,144,187,171,157,93,158,180,166,193,195,196,196,195,196,197,197,197,203,209,208,195,172,166,172,158,159,141,140,133,131,131,165,120,173,129,150,194,196,197,198,197,194,191,202,213,216,214,204,193,182,183,173,132,131,160,146,140,128,125,129,117,143,115,182,195,198,200,199,216,206,194,197,204,203,198,195,194,194,186,167,148,139,159,155,148,149,133,108,111,147,127,183,196,200,198,213,232,215,202,193,198,201,199,198,197,192,189,164,149,140,131,121,118,116,104,98,90,103,130,171,198,200,200,230,231,215,186,176,187,200,200,196,186,172,159,138,125,116,108,115,121,129,127,135,146,155,178,186,202,200,210,238,227,206,171,174,185,175,168,158,146,137,124,109,105,174,197,188,193,195,193,194,191,191,175,118,204,200,228,235,222,200,189,184,170,160,164,168,162,156,151,159,135,98,178,201,194,192,190,189,187,185,187,124,200,209,240,231,228,224,222,193,169,175,176,174,163,152,150,145,129,67,54,185,199,194,192,191,189,187,188,172,197,227,239,234,233,233,229,188,152,165,164,159,150,144,136,125,107,77,36,155,206,194,194,192,190,188,187,187,214,240,238,235,232,228,215,178,159,145,120,105,115,131,142,149,152,86,67,186,199,196,197,194,193,190,189,186,237,240,239,236,230,220,206,187,167,148,127,127,160,180,166,153,167,112,177,205,197,197,198,195,193,192,188,187,238,240,239,234,223,215,197,173,171,174,151,161,173,160,149,140,135,99,194,205,200,200,198,196,194,192,191,188,239,239,236,231,217,195,170,177,196,183,159,158,154,146,139,131,103,90,203,204,202,200,198,198,196,194,192,190,241,237,233,225,204,189,193,210,207,188,164,136,121,107,93,79,81,160,210,202,205,202,200,198,197,196,193,190,237,230,224,213,205,206,209,203,194,169,138,106,104,119,88,137,188,210,206,206,205,204,202,199,196,196,193,191,229,221,214,212,212,212,195,184,180,160,129,106,184,217,206,217,213,208,208,206,205,204,203,201,197,196,195,194,216,214,216,209,205,203,187,183,172,135,99,185,222,211,214,210,209,210,209,207,205,204,204,202,200,198,196,193,208,204,209,202,193,188,182,167,133,91,172,224,212,213,212,211,211,211,210,208,208,206,204,203,201,197,197,188,207,201,196,185,174,172,159,131,88,159,224,212,213,212,212,211,210,210,208,205,205,205,204,202,200,203,198,176,202,193,180,162,154,144,116,89,161,223,216,216,214,214,212,211,210,210,208,206,206,204,204,200,202,179,172,188,180,167,148,131,120,104,85,163,226,214,217,216,216,214,212,211,210,210,208,208,207,205,203,203,193,84,63,131
7,170,172,174,176,178,180,182,182,184,186,187,187,190,190,191,191,192,192,193,193,193,193,193,193,194,194,192,192,170,173,176,177,179,181,182,183,186,187,187,189,190,190,191,192,192,193,193,193,194,194,194,194,194,195,194,193,173,175,176,178,180,181,183,184,186,186,187,190,190,191,191,192,192,194,194,195,194,194,194,194,194,194,194,194,174,175,177,180,182,182,184,186,187,188,190,189,190,193,192,192,192,194,194,195,195,195,195,195,195,196,195,194,174,176,179,181,182,184,186,187,188,188,191,192,192,193,193,194,194,194,195,196,196,196,196,196,196,196,196,194,175,177,179,182,183,185,187,188,190,192,194,194,194,194,195,195,197,197,196,196,197,198,197,195,198,198,196,195,175,177,180,181,184,186,187,189,191,192,195,195,194,196,197,194,188,189,195,193,190,185,183,203,176,192,200,196,176,178,180,182,184,187,189,191,192,193,195,196,195,192,184,178,175,165,167,173,177,168,165,182,147,185,196,192,179,180,181,183,186,188,188,191,190,189,190,192,196,188,181,182,178,160,166,166,171,168,164,161,154,178,180,159,179,181,183,185,187,189,190,194,175,170,179,186,191,184,179,174,162,160,156,147,150,153,147,145,143,143,143,169,179,181,184,186,187,187,202,192,163,167,173,167,158,149,149,147,140,135,137,147,148,148,151,157,163,172,184,202,180,181,184,187,186,202,207,190,179,163,156,142,130,119,127,150,154,173,197,203,202,201,203,207,207,208,206,202,180,183,186,185,200,212,201,201,192,155,147,150,153,152,147,155,176,208,207,204,205,206,205,203,202,202,204,204,182,184,183,196,213,203,203,199,180,159,152,145,149,154,148,132,120,148,209,204,206,206,206,205,205,205,205,205,183,182,192,208,206,202,196,184,173,165,154,132,125,141,146,144,135,127,204,208,206,207,207,207,206,205,206,206,179,189,209,207,197,188,184,177,172,165,153,133,119,121,124,126,129,133,207,208,208,207,208,207,207,207,207,207,187,207,206,199,192,184,181,179,178,173,159,137,132,135,122,105,107,134,214,208,208,208,208,207,207,207,207,206,206,202,193,193,191,183,182,178,174,170,161,147,140,139,134,128,118,123,195,214,208,208,210,209,209,209,208,206,200,196,193,189,183,181,176,169,172,169,154,140,136,134,137,132,127,100,110,189,214,208,211,210,211,210,209,207,196,194,187,186,183,180,167,169,174,158,139,127,113,103,122,129,127,107,107,166,219,209,211,210,210,210,209,209,193,190,183,181,174,170,176,172,155,139,128,106,98,96,91,124,128,114,153,206,212,210,211,211,211,211,210,210,191,187,180,171,174,177,173,156,140,131,119,102,107,103,104,120,124,187,217,214,212,212,211,212,212,212,211,212,181,178,167,172,176,168,154,141,134,119,122,139,151,158,120,134,194,216,211,213,213,213,213,212,212,212,212,211,162,162,160,160,156,147,140,129,119,135,190,212,214,219,196,200,218,212,213,214,214,214,214,212,212,212,211,212,149,144,139,138,138,130,125,132,166,204,212,209,210,210,215,215,212,215,215,214,215,215,215,213,212,212,212,212,146,132,126,122,112,127,174,200,212,206,207,210,211,212,211,214,215,215,215,215,215,215,215,213,214,213,213,213,144,128,115,112,155,193,210,205,206,207,210,212,212,213,214,215,215,216,216,216,216,216,216,215,216,214,213,214,146,129,113,118,203,205,202,205,208,208,210,213,213,213,215,215,216,217,217,216,216,216,216,216,216,216,215,215
8,146,147,149,149,150,150,150,151,151,150,149,149,150,147,146,146,145,143,143,142,142,140,138,136,135,133,131,131,148,149,150,151,151,151,152,154,153,153,152,150,151,149,147,148,147,145,144,142,141,141,140,139,137,134,132,132,150,149,151,153,152,158,157,155,154,155,155,153,153,152,151,150,149,148,147,144,143,142,141,140,139,137,133,132,150,151,152,158,142,105,155,157,156,156,156,155,155,154,153,151,150,150,149,148,146,145,144,142,141,137,134,133,152,154,153,160,125,56,134,163,157,158,157,157,156,156,156,153,152,151,150,149,147,147,146,144,142,140,138,134,154,155,156,157,99,51,135,167,159,159,159,158,157,157,156,156,156,156,153,152,152,147,147,144,142,142,141,138,155,156,160,156,88,51,153,165,162,162,163,161,159,158,157,156,149,138,153,152,138,150,148,146,144,143,142,140,157,158,160,149,73,54,165,163,164,166,154,163,164,162,164,163,120,78,75,136,93,136,153,146,145,144,142,140,158,158,160,156,80,51,159,167,166,136,92,94,159,133,106,120,123,96,46,86,83,107,161,148,148,146,144,142,159,160,164,159,92,45,152,171,151,123,109,72,96,113,75,52,112,112,71,41,82,76,159,150,150,148,145,143,159,162,164,153,89,38,126,178,142,139,126,94,70,114,85,59,112,110,73,30,65,50,109,161,149,148,147,145,160,163,165,159,123,74,91,180,135,139,140,103,61,103,105,66,98,91,52,24,49,73,48,136,155,149,147,146,161,163,164,164,150,100,70,154,126,121,145,108,59,84,116,63,69,93,68,23,40,79,37,111,161,148,148,147,161,165,165,168,153,101,97,115,110,94,139,105,66,57,106,68,52,118,96,37,55,82,40,138,158,149,149,148,163,164,166,169,165,142,136,105,110,83,114,110,60,40,95,80,34,107,93,30,76,75,53,158,155,152,150,148,164,164,167,168,171,159,133,100,78,77,100,106,66,38,57,57,6,19,34,46,92,59,76,167,154,154,151,149,163,165,168,168,172,160,112,85,63,52,69,114,103,60,26,20,59,68,64,111,104,43,103,169,155,155,152,150,164,166,170,169,172,157,129,106,75,63,61,114,117,73,44,72,122,125,110,102,93,31,128,167,156,156,153,151,164,167,169,171,171,169,147,114,75,61,58,99,101,69,53,111,129,125,113,72,60,36,155,160,157,156,155,154,165,169,171,172,171,166,151,117,86,71,61,84,122,118,121,145,132,114,100,65,26,94,172,157,157,156,155,154,167,170,172,172,172,163,154,126,100,78,67,85,149,157,160,150,124,102,90,46,36,161,164,161,158,157,156,155,168,171,172,173,172,161,148,128,102,76,75,96,156,149,143,134,108,90,78,25,104,176,161,162,160,157,156,155,169,170,172,173,174,157,141,133,106,81,82,106,148,140,137,121,96,83,55,39,165,167,164,162,161,158,156,155,169,172,174,173,177,163,145,139,108,90,84,111,139,139,133,109,86,73,26,105,180,163,164,164,162,161,158,155,169,171,172,174,175,174,153,145,119,99,80,107,132,127,119,97,75,47,38,169,171,167,165,165,163,161,159,156,169,172,173,174,175,176,164,148,120,100,83,97,121,111,99,78,58,16,121,181,168,168,165,165,163,161,158,157,169,172,172,174,176,176,167,143,120,98,87,92,108,100,81,66,23,83,184,171,172,169,166,165,163,161,158,157,170,171,173,175,177,176,167,138,118,102,97,92,99,96,75,48,42,172,176,173,172,170,167,165,164,162,160,158
1,144,120,104,96,100,92,38,97,124,140,155,163,173,180,183,186,191,196,199,201,205,207,209,212,214,215,215,217,146,117,109,95,108,82,44,104,127,139,173,180,138,177,187,192,194,198,200,204,207,210,211,214,217,218,218,218,147,115,117,95,116,71,51,109,129,146,183,204,117,149,178,166,200,200,204,207,209,212,216,219,220,220,222,221,147,116,121,94,124,62,62,108,156,192,140,205,141,142,188,117,182,206,206,209,211,215,218,221,221,222,223,223,146,118,123,96,128,53,71,109,169,203,130,201,159,143,206,124,145,213,207,212,215,219,221,222,223,224,225,225,143,119,123,98,130,44,79,114,165,213,139,190,182,140,209,154,123,210,210,214,219,221,223,224,226,227,226,227,140,124,122,104,129,40,88,113,163,219,136,192,215,152,188,177,116,193,216,217,219,221,225,226,228,228,228,229,137,129,121,111,121,37,97,143,154,226,158,187,223,155,187,209,128,167,223,217,220,224,227,228,229,229,230,230,135,133,117,118,114,31,136,199,140,230,178,168,214,158,184,221,147,142,223,217,221,225,228,230,232,232,231,232,133,136,114,127,103,33,148,193,133,220,183,153,211,167,164,214,162,133,219,221,223,226,229,231,232,232,234,234,132,139,109,134,91,40,146,197,127,209,191,140,218,185,151,218,175,129,214,224,224,228,231,232,232,234,236,236,134,143,106,141,79,45,145,211,129,206,208,130,203,200,144,223,186,126,203,226,226,229,232,233,233,236,237,237,135,145,106,149,67,54,140,229,145,181,221,135,157,203,121,194,195,122,191,231,226,230,232,233,234,236,237,238,141,147,107,152,56,63,128,216,147,152,223,138,142,196,139,194,199,122,166,235,226,230,233,233,234,237,238,237,144,144,110,151,47,74,118,207,172,136,201,176,177,179,195,204,162,121,140,233,226,230,233,235,236,236,237,236,148,141,115,146,40,82,112,210,187,131,192,201,171,156,183,197,145,105,119,221,230,231,234,235,237,237,237,237,150,138,121,143,36,88,111,203,178,186,192,193,198,179,220,230,161,102,90,201,234,229,234,236,237,239,239,239,156,136,128,136,33,94,112,204,205,208,171,178,188,187,218,214,169,127,84,172,239,229,235,237,238,239,239,239,162,133,140,132,33,96,114,220,218,184,160,152,166,176,182,191,194,160,102,132,237,232,237,238,238,239,240,240,168,130,149,123,34,98,111,209,210,167,143,159,167,186,216,211,213,193,141,110,222,234,234,235,236,237,238,239,171,126,158,108,36,98,103,185,209,162,143,163,170,194,232,231,220,211,167,118,214,231,230,231,233,235,235,232,171,122,167,94,36,96,102,150,211,174,151,151,178,195,229,242,214,198,156,125,217,227,229,230,233,233,240,255,170,120,172,82,51,99,105,122,197,184,161,149,175,194,227,237,210,184,142,112,215,228,228,231,235,230,242,255,168,123,165,137,115,133,139,138,178,200,176,155,162,187,220,229,204,177,136,111,198,207,208,211,209,212,201,204,166,124,168,146,82,91,93,91,110,194,183,172,159,176,212,217,188,168,130,105,120,121,125,119,150,206,204,195,163,128,172,139,88,94,97,101,95,136,191,179,171,166,191,202,176,157,122,106,120,121,117,122,202,210,201,190,157,129,173,136,88,95,97,97,101,96,160,187,179,163,160,178,161,139,115,110,117,119,111,170,221,206,198,188,150,124,175,130,84,92,94,95,99,94,120,189,171,152,146,150,144,130,105,110,116,114,119,209,214,202,190,184
23,180,182,183,185,186,187,189,191,191,191,192,193,193,194,195,195,195,195,195,194,194,194,194,194,193,193,193,193,181,183,185,186,188,189,191,193,193,193,193,195,196,197,198,197,197,199,199,197,195,195,195,195,195,195,195,196,183,185,187,188,189,190,193,194,194,195,195,197,198,199,200,203,210,216,217,206,195,192,193,189,194,197,197,198,184,186,188,189,190,191,194,196,196,196,197,198,202,211,216,222,227,227,215,200,189,181,171,162,187,198,199,199,186,187,189,190,191,193,194,196,197,197,198,199,213,238,234,219,213,202,179,164,161,154,148,163,193,200,201,200,187,188,190,192,193,194,195,197,198,199,199,200,224,247,223,192,178,163,160,173,174,171,179,194,200,201,202,202,188,189,191,193,195,196,198,199,200,201,201,203,232,245,213,168,152,167,189,203,203,200,202,203,203,202,203,203,189,191,193,195,196,198,200,200,201,202,202,210,241,242,213,170,171,202,215,223,212,195,203,205,204,204,204,205,191,193,194,196,198,199,200,202,203,204,203,218,245,239,216,174,193,230,240,241,213,173,192,203,206,207,207,207,192,194,195,197,199,199,201,203,205,206,205,227,247,236,225,208,232,249,245,232,200,160,154,168,198,209,208,208,193,195,197,199,200,201,203,205,207,206,210,237,248,239,242,246,249,244,234,223,211,197,155,128,174,208,209,209,195,197,199,200,202,204,206,207,208,208,219,245,249,244,244,247,245,240,236,233,229,216,171,124,150,201,210,211,196,198,200,202,203,205,207,208,209,218,236,248,247,243,239,241,243,242,237,229,217,201,163,119,124,176,209,212,198,199,201,203,204,206,208,209,212,234,249,251,250,244,236,233,235,235,228,218,209,203,170,118,109,153,207,214,199,200,202,204,206,208,209,210,214,241,253,254,252,244,233,230,231,230,224,215,210,205,174,121,109,158,211,216,201,202,203,206,207,209,211,212,215,239,254,254,254,248,240,237,228,219,211,202,196,187,159,121,119,180,216,217,202,203,205,207,208,210,212,213,215,235,253,254,254,249,241,236,212,189,178,170,164,162,148,123,140,202,218,217,203,204,206,208,210,211,213,214,214,232,253,254,253,246,237,226,197,161,133,115,128,151,145,127,164,214,220,219,204,206,208,210,212,213,214,215,215,230,252,255,253,244,234,220,195,157,110,75,109,147,141,131,185,220,221,221,206,207,209,211,213,214,216,217,217,229,251,255,253,245,235,232,210,151,94,84,120,138,128,139,202,221,222,222,207,209,211,213,214,215,217,218,219,228,250,255,253,247,240,235,205,151,99,97,119,120,117,155,215,223,223,223,208,210,212,214,215,216,218,219,219,227,249,254,254,249,244,234,199,156,113,94,103,111,118,169,221,223,223,224,209,210,212,215,217,218,219,220,221,226,247,254,254,250,247,234,199,159,123,94,103,115,124,182,224,225,225,225,209,211,213,215,217,218,220,221,222,227,247,254,254,251,247,233,200,162,131,106,111,120,132,196,226,227,227,227,210,211,214,215,217,219,221,222,223,227,247,254,253,250,245,230,200,164,135,115,118,123,147,211,227,227,228,228,210,212,214,216,218,219,222,223,224,228,247,254,253,247,239,222,194,161,136,120,120,125,171,224,228,228,229,229,212,214,215,217,219,221,223,224,225,229,247,254,252,242,228,209,183,155,137,126,120,138,202,229,229,230,230,230,213,215,216,218,221,223,224,225,226,229,247,254,251,238,218,197,172,151,139,129,121,160,221,230,230,231,231,231
0,191,192,193,193,193,195,196,196,196,197,195,196,196,195,196,195,195,196,196,196,196,196,196,196,195,194,195,195,193,193,194,195,194,195,195,196,197,198,197,196,196,195,196,202,182,169,190,195,194,197,198,196,195,196,197,197,194,195,195,196,196,196,196,197,198,200,200,199,191,173,184,212,171,146,136,157,154,164,193,183,170,198,198,200,194,196,196,197,198,198,197,197,198,198,202,219,192,162,140,198,177,159,124,103,138,135,143,170,125,200,199,200,196,196,197,198,200,199,200,199,200,183,198,225,192,171,141,201,187,169,133,108,153,140,114,162,117,197,202,201,196,196,198,199,200,200,198,208,216,165,151,216,200,180,144,197,204,176,139,119,166,138,100,146,111,185,202,202,197,197,199,200,201,201,200,221,216,176,157,192,214,183,145,183,212,180,136,122,168,132,89,131,114,140,203,201,198,198,200,201,202,200,214,207,213,189,167,157,221,180,142,162,214,175,127,102,149,122,81,124,124,95,192,203,198,199,200,202,201,206,215,187,216,199,167,134,214,178,140,129,202,161,113,80,127,108,75,127,131,90,170,204,200,201,202,202,201,214,197,163,204,199,164,124,193,172,132,101,175,148,110,77,109,97,75,142,141,98,168,205,200,201,202,202,203,215,199,175,184,185,151,110,160,160,123,81,150,140,110,73,111,97,99,167,157,104,172,207,198,199,201,200,209,206,186,156,149,172,141,103,134,153,117,66,129,140,103,77,127,102,136,180,160,105,176,207,198,199,200,199,210,220,195,159,125,162,133,96,124,151,117,63,127,148,109,143,163,129,143,180,161,104,187,207,197,200,201,201,210,223,201,166,123,122,133,106,118,160,126,76,123,161,163,181,173,150,126,155,153,103,191,207,199,201,202,201,213,226,208,179,145,111,123,123,114,170,150,139,177,187,183,175,162,142,128,113,120,93,190,207,201,201,202,201,213,227,214,189,163,145,138,142,158,175,187,199,202,197,184,171,152,130,120,103,93,86,188,208,200,202,203,202,213,225,218,198,180,168,156,149,162,183,196,204,205,201,184,167,148,124,109,98,90,93,197,209,199,202,203,203,210,221,220,207,193,182,167,159,159,179,193,201,199,194,180,161,145,122,105,94,91,149,209,210,198,201,202,201,200,219,220,219,204,189,171,162,162,178,195,204,195,187,176,158,139,117,99,88,138,203,209,210,186,188,192,193,187,214,220,223,206,190,174,163,163,180,199,200,191,181,171,153,132,110,91,110,199,209,210,210,117,118,121,124,121,196,215,218,203,192,178,165,160,180,195,189,176,166,156,141,120,104,88,153,192,195,197,198,100,102,102,101,95,165,210,203,196,194,183,169,158,177,190,179,162,145,133,122,109,97,95,109,116,119,120,129,104,103,105,104,100,148,206,193,195,196,184,169,157,171,186,172,149,122,111,103,95,98,103,102,102,117,157,194,104,102,102,103,102,138,206,188,196,195,182,170,160,167,179,164,131,103,95,91,101,106,112,125,167,208,216,207,103,102,101,104,104,134,216,198,198,191,177,168,160,156,164,153,115,94,88,93,108,124,181,216,228,221,214,202,101,101,103,103,103,128,219,207,202,189,176,169,164,148,155,145,105,90,86,103,145,210,231,233,230,222,225,218,104,102,103,103,103,127,210,210,206,188,175,170,165,142,149,141,101,83,88,159,215,227,232,230,218,216,226,230,104,102,103,104,102,126,202,209,204,182,172,170,167,139,142,135,97,77,132,215,215,229,225,218,213,217,224,229
8,166,168,170,171,172,173,174,175,174,174,173,173,173,172,172,172,172,171,171,169,167,167,166,166,165,164,162,160,167,170,172,173,174,175,175,175,176,175,175,175,175,174,174,174,173,173,172,171,169,168,167,167,167,166,164,162,170,172,174,175,176,177,178,177,178,178,178,177,176,176,175,175,175,174,173,173,171,171,170,170,169,167,165,164,172,174,175,178,179,178,179,179,180,179,179,179,177,169,176,176,175,175,175,175,173,172,172,171,171,169,166,165,174,176,177,179,180,180,180,181,182,181,179,189,184,135,166,179,178,176,176,176,175,174,174,172,171,170,168,167,176,179,180,179,181,182,182,183,183,182,180,199,172,110,157,181,180,179,178,178,175,175,174,173,172,171,171,170,178,180,181,181,182,183,184,185,184,184,184,203,152,103,165,183,181,181,180,179,177,176,174,174,174,173,172,171,179,181,183,184,184,186,186,186,186,186,189,203,141,104,175,185,183,182,181,179,178,178,177,176,175,175,173,172,182,182,184,185,186,186,187,188,188,187,195,204,139,114,179,185,184,182,182,181,180,179,179,178,176,175,174,173,183,184,186,187,188,188,189,190,190,188,200,192,125,119,183,186,186,185,184,182,181,180,179,178,177,176,175,175,184,186,187,189,190,190,191,192,192,189,205,190,126,129,187,187,186,180,184,184,182,182,181,180,179,178,177,176,187,188,189,191,193,193,193,194,194,191,212,191,147,144,186,190,193,147,151,184,183,184,182,181,181,180,178,176,188,189,191,193,195,195,196,196,195,195,214,187,160,155,195,205,199,148,111,131,137,167,185,184,182,182,180,178,188,191,193,194,195,195,196,197,197,198,213,192,173,167,207,206,202,175,133,92,90,103,164,162,181,182,182,181,191,193,195,196,196,197,198,199,198,208,219,188,174,179,200,189,191,191,158,140,110,79,105,91,126,183,182,181,193,195,197,199,199,200,200,201,199,216,205,171,164,163,194,171,136,176,175,168,128,79,77,77,72,164,185,182,194,196,198,200,200,201,201,199,207,213,176,145,148,145,183,154,106,110,174,164,127,77,53,67,63,140,189,184,197,199,200,202,202,202,202,203,224,215,181,145,125,118,176,171,130,74,182,175,134,82,49,61,74,163,189,185,197,200,201,202,203,204,203,216,232,208,173,143,124,106,163,172,121,78,170,185,137,86,55,60,121,188,189,187,197,200,203,204,205,205,206,229,228,199,165,140,125,93,107,147,126,119,174,190,139,86,59,108,182,191,190,188,200,200,202,204,206,206,213,233,215,185,169,148,126,109,168,196,188,184,177,176,133,83,97,185,194,193,192,190,201,202,204,205,207,207,223,231,207,191,171,137,129,178,216,209,186,190,164,147,123,86,106,198,196,195,194,192,201,203,205,207,209,186,216,229,206,196,162,137,174,214,211,193,168,174,152,122,113,84,135,199,196,195,195,193,202,204,207,209,200,117,142,218,208,195,154,172,207,218,201,183,160,161,148,101,94,88,184,200,197,196,195,194,203,205,208,209,142,84,80,132,186,182,157,178,202,208,193,177,149,149,135,90,70,136,203,201,200,198,196,194,203,207,210,174,94,78,77,76,97,130,138,163,181,190,181,165,142,139,109,71,84,189,203,202,201,199,198,195,205,208,191,108,81,76,73,76,56,46,72,92,117,145,152,143,133,114,79,64,158,207,204,203,202,201,199,197,205,202,134,83,78,73,71,71,68,27,43,49,50,58,75,87,87,71,55,124,204,206,205,204,203,201,199,196
19,116,119,124,127,134,141,146,150,154,156,158,161,163,166,168,169,172,173,174,175,177,179,179,180,181,181,183,183,116,120,124,128,135,141,147,152,155,157,158,161,164,167,168,172,173,174,176,177,178,179,180,183,183,183,184,184,117,121,126,130,137,143,148,153,157,158,160,163,165,167,170,173,174,176,178,179,180,181,182,184,184,185,186,186,118,122,128,131,138,145,150,155,158,159,162,164,167,170,173,175,177,178,179,180,183,184,185,185,187,187,186,188,118,123,127,132,140,146,151,156,159,161,162,165,168,171,173,176,179,181,180,182,184,185,185,186,188,186,193,183,119,124,129,133,141,147,153,157,160,162,163,167,171,171,182,181,160,174,186,183,185,187,187,188,185,202,211,138,119,124,129,133,142,148,155,159,162,162,165,168,172,171,210,188,152,131,178,185,185,187,193,195,202,207,160,125,119,125,129,134,142,149,155,160,162,164,166,171,173,169,200,201,161,146,181,196,189,192,202,202,189,151,130,176,120,126,129,136,144,150,155,161,163,163,169,166,171,177,188,200,191,198,195,191,184,172,183,171,136,140,180,198,121,126,130,136,146,152,157,162,161,186,200,170,164,170,180,186,181,173,165,171,159,143,141,143,167,196,196,194,122,127,130,137,145,152,158,162,164,211,187,174,174,178,187,187,177,166,164,154,154,127,179,195,200,196,196,197,121,127,130,138,146,152,159,159,175,200,166,165,172,185,190,186,184,178,162,130,123,140,204,195,196,198,198,197,123,128,131,139,147,152,160,157,188,196,173,172,177,176,168,164,167,155,141,125,109,159,203,195,198,198,198,198,124,128,132,139,147,154,160,160,220,209,190,189,188,181,178,173,161,124,119,122,111,177,203,198,200,199,200,201,124,129,132,141,150,156,161,166,220,204,189,176,170,176,177,171,151,121,115,124,118,188,200,198,201,201,202,202,123,129,133,141,149,157,162,166,204,197,176,160,142,139,154,151,146,125,119,120,139,201,198,200,200,201,202,202,125,128,133,143,150,157,163,165,196,196,177,138,129,108,100,132,151,127,121,123,138,204,200,201,201,202,203,203,125,128,133,144,151,158,164,164,194,199,177,142,118,89,124,150,151,124,120,120,120,194,202,200,202,203,204,204,125,128,135,144,151,158,166,159,192,200,177,153,133,109,111,119,112,107,112,120,120,188,205,201,203,204,204,204,126,129,136,145,152,159,167,159,195,203,178,157,135,125,114,102,102,111,117,121,122,190,206,203,203,204,205,204,126,129,136,145,153,160,168,159,196,202,177,156,138,130,130,118,110,112,117,120,128,197,204,204,205,206,206,206,127,130,137,147,154,160,168,160,187,196,174,155,137,130,128,118,110,116,121,119,144,207,202,206,206,206,206,206,126,130,138,147,155,160,169,160,186,191,170,150,135,129,126,120,116,120,126,117,171,210,204,206,207,207,208,208,125,130,139,147,155,162,168,166,190,187,167,147,134,127,127,125,122,124,119,135,202,204,206,207,207,208,208,208,126,130,140,148,156,162,166,169,199,186,164,143,131,128,130,127,123,119,141,193,205,204,206,207,208,208,209,209,127,130,141,149,156,164,165,171,197,181,165,148,135,131,131,129,120,136,200,203,203,205,207,208,208,209,209,209,127,131,140,149,157,165,165,178,190,175,162,150,136,127,124,124,115,169,204,202,206,206,208,209,209,209,210,210,126,131,140,149,157,166,166,193,190,172,155,141,130,120,118,120,119,182,203,204,206,207,208,209,209,210,211,212
20,158,162,166,171,174,175,177,179,181,183,184,185,186,186,186,187,187,187,187,187,186,186,185,185,185,183,182,180,160,164,168,172,175,176,179,181,183,185,186,187,188,188,189,188,188,190,189,190,188,187,187,187,187,185,185,182,162,166,170,174,177,179,182,183,185,187,187,189,191,192,189,208,184,172,191,192,191,190,191,191,189,187,187,185,165,168,172,176,179,181,184,185,187,189,190,192,193,193,189,223,180,151,182,169,196,193,193,193,191,191,189,187,167,170,174,178,181,184,187,187,189,190,193,194,195,196,192,224,180,172,199,138,195,195,194,194,194,193,191,190,169,172,176,180,183,185,188,190,191,193,195,195,195,197,194,231,195,176,216,139,191,198,197,196,196,195,193,192,170,174,178,181,184,187,190,193,194,196,196,196,199,199,197,237,195,180,228,152,186,200,200,199,199,197,196,195,172,176,179,183,186,189,192,194,195,197,198,199,198,200,205,236,186,195,227,153,181,205,202,201,200,198,197,196,174,178,181,185,188,191,194,196,198,199,200,201,220,213,189,232,183,205,223,145,180,206,203,202,202,201,200,199,176,180,184,187,190,193,195,198,200,200,201,211,248,227,160,159,166,203,218,144,186,208,206,204,204,203,201,200,178,181,185,188,192,195,198,200,200,206,239,231,183,200,183,148,138,169,191,145,193,210,208,206,206,204,203,201,180,183,187,190,194,198,200,202,200,222,233,225,207,184,209,217,177,127,150,135,197,211,208,207,207,206,204,203,181,185,188,192,195,199,200,203,202,226,208,149,176,128,169,226,193,129,116,120,199,211,210,209,209,208,207,205,182,186,190,193,197,200,202,205,203,230,197,140,129,102,107,200,223,163,111,111,198,214,213,211,210,210,209,207,183,186,191,194,198,201,203,206,204,233,221,189,149,121,125,160,245,199,126,105,199,217,214,213,212,211,211,208,185,187,192,196,199,202,205,207,206,242,233,178,143,132,149,161,250,224,152,103,192,219,215,214,213,213,212,210,186,189,194,198,200,204,207,209,208,243,222,172,150,151,162,198,254,230,173,112,186,219,216,216,215,215,214,212,187,190,194,198,200,204,208,210,210,244,232,189,168,168,180,238,254,220,177,117,186,221,219,218,217,216,215,214,187,192,195,199,202,205,209,212,211,244,240,204,172,187,202,255,251,212,169,121,188,225,220,219,218,217,217,215,187,191,195,199,203,206,210,213,212,243,248,214,185,191,225,255,240,207,165,119,190,225,220,220,219,218,218,217,187,192,196,199,202,206,210,213,211,241,250,218,204,194,236,252,227,201,156,114,186,225,220,220,218,218,218,216,190,195,199,201,204,207,212,215,214,234,252,226,221,207,231,246,218,194,154,106,185,226,221,221,220,219,220,217,191,194,197,200,205,209,212,215,216,224,250,235,229,219,210,229,199,187,146,102,189,228,223,222,222,220,221,222,192,195,199,202,206,208,212,216,218,219,247,244,228,207,191,204,181,185,142,104,206,227,223,224,223,226,218,182,194,197,201,205,208,211,214,217,222,222,246,243,215,182,167,185,178,180,129,119,227,227,225,225,228,204,137,102,181,187,192,196,201,206,211,209,172,147,226,231,193,164,157,189,175,166,104,162,237,229,229,232,201,125,102,91,132,134,137,137,140,142,145,150,86,28,184,234,200,163,164,203,158,138,83,101,166,174,176,176,123,92,88,79,106,111,115,116,114,112,115,128,128,79,129,215,195,166,180,204,131,110,60,36,92,115,117,125,101,75,71,73
14,134,138,142,145,148,151,152,155,157,159,160,162,165,165,166,167,168,170,171,172,173,173,174,175,175,175,176,176,135,139,143,146,149,152,154,156,158,159,162,164,166,167,167,168,171,171,172,174,174,174,175,176,176,176,176,177,137,140,144,148,150,152,155,157,159,159,162,164,165,167,149,146,158,163,172,174,176,176,176,176,176,176,178,178,138,141,145,149,151,153,156,159,160,161,167,169,168,156,116,108,143,153,163,147,158,179,178,177,177,177,179,179,138,141,145,149,151,155,157,159,164,176,176,159,139,123,106,100,132,150,142,107,129,181,179,180,180,180,180,180,139,143,146,150,153,155,157,165,186,185,156,109,89,91,102,101,115,123,118,94,97,167,180,181,182,182,181,181,140,143,148,152,154,156,159,191,189,159,121,82,63,68,87,99,120,120,124,127,114,142,173,182,183,183,182,182,141,144,148,152,155,155,169,198,156,108,79,79,73,86,93,75,92,110,118,139,143,126,136,184,183,183,183,183,142,146,150,153,156,156,187,186,128,80,69,77,76,99,93,79,97,108,121,119,120,99,106,177,184,184,184,184,143,147,151,153,155,163,199,167,114,71,66,67,70,84,78,97,109,88,122,136,131,118,109,134,181,185,185,185,143,147,150,153,155,178,195,145,91,67,72,78,76,70,74,101,104,103,168,183,174,145,124,111,147,177,186,185,144,149,151,155,158,194,175,126,92,83,79,83,82,82,86,82,102,159,184,184,185,180,154,142,123,169,188,187,144,149,152,155,172,202,168,127,104,86,79,81,82,89,92,83,144,185,184,184,187,173,158,142,120,181,187,187,144,149,153,155,192,201,162,123,97,81,76,77,81,88,86,106,178,184,185,186,185,163,157,121,140,190,188,188,144,149,153,156,198,191,154,120,88,76,75,78,84,85,78,121,185,183,186,187,179,156,150,106,142,192,189,189,145,150,154,158,203,187,146,108,80,75,77,81,86,78,74,108,178,186,187,182,152,150,145,107,130,191,189,189,146,151,154,165,207,179,144,110,83,77,80,85,89,88,94,104,138,171,176,162,158,157,142,108,141,192,189,189,146,151,153,175,208,176,142,108,85,76,79,89,94,103,116,124,121,122,143,159,166,157,128,131,181,190,189,189,147,151,152,186,204,173,141,108,87,78,81,90,101,114,127,135,137,130,156,163,159,138,136,182,191,190,190,190,146,151,153,193,198,171,141,113,92,80,83,95,114,128,139,141,141,137,151,154,132,135,181,193,192,192,191,190,146,151,155,200,192,168,141,116,97,83,84,103,129,142,150,149,141,137,131,126,125,178,193,192,192,192,191,191,147,151,159,199,185,164,140,121,100,85,85,112,142,149,149,149,144,131,106,115,172,191,191,192,192,192,192,192,147,152,164,196,178,159,142,125,104,88,87,119,148,147,146,145,141,115,119,172,191,191,192,193,193,193,193,192,148,151,170,193,173,160,148,128,109,93,91,118,147,145,133,136,123,120,177,192,191,192,193,194,193,193,193,192,148,151,179,195,174,166,151,129,112,99,90,109,137,133,122,121,116,168,193,192,192,192,193,193,193,193,193,193,147,152,193,196,179,170,150,128,111,98,89,101,121,116,119,108,158,190,191,192,192,192,193,194,194,194,194,194,148,158,203,193,183,168,139,120,105,92,90,100,105,104,120,156,189,189,191,193,193,194,194,194,194,194,194,194,146,172,203,186,179,158,125,110,98,90,95,96,92,108,161,189,190,189,191,193,194,195,194,194,194,194,194,194
3,86,94,99,102,104,108,113,118,120,121,122,124,124,125,126,126,127,130,128,127,128,127,127,128,129,127,126,126,89,97,103,106,109,113,118,121,123,125,127,128,128,129,130,132,136,98,126,132,130,131,131,131,131,130,130,129,94,102,107,111,115,118,123,126,128,130,132,133,133,134,134,140,147,68,104,143,135,137,137,136,135,134,133,132,99,106,111,115,120,123,127,130,133,135,137,137,139,140,139,144,148,65,80,150,140,141,141,140,138,138,137,136,104,109,115,119,123,127,131,135,138,140,140,141,143,144,144,147,152,67,65,150,146,146,145,145,143,142,141,140,106,115,119,122,127,131,136,139,142,145,145,147,147,149,150,152,162,85,59,150,150,150,150,149,149,147,145,144,109,118,123,126,131,135,139,143,145,148,149,151,153,152,151,146,171,91,48,142,156,154,155,153,152,151,149,147,112,120,126,128,133,138,142,147,149,151,153,154,153,161,177,132,101,84,64,136,162,158,158,157,156,155,152,150,116,124,129,132,138,142,147,151,154,156,159,163,142,130,190,165,85,140,84,127,168,160,160,160,159,158,156,155,119,127,131,135,140,145,150,154,157,156,145,180,175,125,156,170,117,148,55,93,176,161,163,163,161,161,160,159,121,128,134,137,144,148,152,156,159,170,149,133,179,150,129,162,106,142,88,54,153,171,166,166,165,164,163,162,123,131,136,141,147,150,154,157,162,179,185,135,109,163,115,153,104,123,133,72,92,180,168,168,168,167,165,165,125,133,138,143,148,152,156,161,167,147,140,126,59,135,89,143,161,90,136,90,72,177,172,171,169,169,168,168,127,136,140,145,150,154,160,163,171,142,99,124,55,111,91,76,91,35,113,95,75,179,175,175,173,172,171,169,130,137,142,147,152,156,162,163,171,172,132,108,81,86,143,76,5,33,143,103,69,177,176,176,174,173,173,173,131,139,143,149,154,158,162,165,174,169,110,70,55,41,100,67,28,89,167,106,56,161,182,177,176,175,174,174,133,141,145,150,155,160,164,167,174,171,133,94,67,41,42,76,114,143,144,98,54,154,187,178,180,179,176,175,135,142,147,152,157,161,166,168,175,185,149,98,73,73,84,153,191,170,121,78,63,170,186,181,182,180,179,178,136,143,149,153,158,164,168,168,175,186,158,115,96,96,103,182,191,152,113,62,75,185,183,183,183,182,181,179,136,144,150,154,160,165,167,171,174,183,166,131,105,92,113,182,180,136,102,55,98,195,183,185,184,183,182,181,136,142,149,155,159,163,167,172,174,177,165,133,112,109,110,177,172,126,88,50,128,196,185,187,186,186,183,182,137,143,150,155,160,163,167,170,174,173,164,139,127,123,101,167,156,114,76,53,155,194,184,185,186,186,183,181,138,145,151,156,161,165,168,171,174,176,163,146,128,123,92,139,139,98,67,64,175,190,186,185,184,183,184,185,138,145,150,155,160,165,167,170,173,173,175,150,128,113,78,111,109,76,57,112,195,186,188,187,187,188,177,152,141,151,156,161,167,172,175,177,180,175,185,149,127,99,78,95,83,68,71,173,189,189,181,186,178,172,146,111,92,97,102,109,116,121,126,134,135,168,185,152,132,101,91,90,81,55,112,189,155,151,169,131,143,161,110,104,67,68,69,70,71,69,69,73,70,158,176,149,134,124,99,82,69,51,161,203,160,131,146,137,112,147,81,120,74,75,78,79,78,82,87,83,91,173,166,131,126,130,90,73,54,83,150,185,163,144,111,142,120,111,78,135
7,255,255,255,255,255,254,255,254,254,253,251,249,247,246,245,244,241,239,237,236,234,233,231,230,227,222,220,218,255,255,255,255,255,255,255,255,255,255,255,253,251,249,248,247,245,244,241,239,237,235,234,230,229,226,221,224,255,255,255,255,255,255,255,255,255,255,255,255,253,253,252,251,249,247,244,241,240,238,236,233,231,228,225,223,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,252,250,247,245,244,241,238,237,235,231,227,226,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,252,251,248,246,244,240,238,237,233,231,228,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,249,247,247,245,242,239,236,234,231,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,249,246,245,243,240,238,235,234,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,253,250,248,244,239,237,235,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,244,241,237,242,244,239,238,255,255,255,255,255,255,255,255,255,255,255,255,255,249,237,224,212,190,185,190,192,163,170,210,200,234,244,239,255,255,255,255,255,255,255,255,225,202,192,185,186,178,166,162,167,136,146,153,147,145,154,198,165,222,248,242,255,255,255,255,255,255,237,210,186,146,154,163,164,168,164,166,138,131,123,122,120,125,105,130,184,242,252,244,255,255,255,255,245,222,219,211,184,139,132,132,131,136,140,145,142,153,144,112,121,116,110,116,124,135,209,250,255,255,255,223,207,212,213,200,188,169,151,150,153,164,169,168,171,162,150,100,111,118,102,97,83,109,144,252,255,255,213,208,209,210,199,199,202,187,168,163,162,173,161,155,148,137,115,83,82,85,81,85,83,98,183,253,252,218,217,214,211,206,204,213,197,170,116,107,124,128,115,110,118,120,125,146,179,198,215,219,225,232,249,245,212,224,225,216,212,213,211,187,172,139,83,88,95,72,169,238,238,255,255,255,255,255,255,255,255,255,255,255,216,223,221,216,215,207,181,164,162,130,101,77,71,72,80,232,255,255,255,255,255,255,255,252,253,255,232,194,215,215,220,223,214,189,168,153,152,164,160,96,65,77,45,163,255,255,255,255,255,255,255,255,250,162,101,84,212,218,224,216,191,159,148,145,148,166,147,83,69,59,95,255,255,255,255,255,255,255,238,180,116,73,66,75,215,218,211,187,160,146,141,134,132,135,97,68,47,81,255,255,255,255,255,248,201,148,100,72,67,74,62,69,212,201,176,163,159,151,150,132,108,104,95,77,51,107,255,255,255,254,209,121,82,69,73,74,75,76,58,59,186,170,165,160,149,135,117,99,91,110,115,79,53,157,189,111,104,100,80,74,91,71,62,70,71,74,56,49,172,170,162,137,115,105,98,99,106,117,92,68,89,107,57,56,69,54,73,60,65,73,42,56,69,72,54,48,170,161,141,123,116,113,106,98,93,81,78,95,92,85,74,43,68,52,59,52,55,58,37,48,64,68,47,51,148,127,117,119,115,109,93,83,86,90,92,83,73,65,67,41,49,53,44,48,52,46,32,43,63,62,40,51,96,79,87,93,95,94,102,110,86,88,76,68,58,64,57,48,31,51,38,43,49,37,33,42,61,58,37,52,69,119,139,136,133,139,140,111,71,59,68,68,51,57,50,50,25,38,39,39,49,33,35,46,58,55,33,58
14,189,190,190,191,192,192,192,192,192,192,191,190,190,189,187,187,186,184,183,183,181,180,179,178,176,174,173,171,191,191,192,192,193,194,194,194,194,194,194,192,191,191,190,189,188,186,185,185,184,182,181,179,179,178,176,175,192,194,194,195,196,197,197,197,196,195,195,194,193,192,191,190,189,188,186,186,184,184,183,182,179,178,177,176,194,195,196,197,197,198,197,198,198,198,196,196,197,193,191,190,190,190,188,187,186,185,184,183,182,178,178,177,195,196,197,198,198,199,200,199,200,201,200,195,187,197,198,198,193,191,190,189,188,186,184,184,183,182,180,178,197,198,199,200,200,201,203,202,199,186,177,169,127,139,147,172,191,196,195,190,190,188,186,185,185,183,180,178,199,199,200,202,201,203,203,197,177,158,136,113,89,97,116,122,144,157,179,194,191,190,189,187,187,185,183,180,200,200,201,202,202,203,204,193,165,126,97,88,91,86,102,115,126,109,140,205,191,191,189,188,186,186,184,182,200,202,203,204,204,199,194,174,134,82,76,79,80,77,81,85,101,86,103,179,196,191,191,190,187,186,185,184,201,203,204,206,205,190,178,146,99,81,74,74,78,78,81,80,87,97,97,104,191,194,192,191,190,189,185,184,202,204,205,205,204,185,163,108,82,86,80,79,79,75,77,79,80,96,90,117,203,194,193,191,190,189,187,186,205,205,205,205,206,191,166,103,80,79,79,85,78,97,180,166,172,107,91,99,170,201,194,192,191,190,188,187,205,207,208,207,207,192,167,113,78,75,76,84,73,162,219,209,214,190,134,104,112,139,185,196,191,190,189,187,206,207,207,207,206,192,165,109,84,87,79,68,138,214,205,205,203,210,190,124,128,108,161,202,191,191,191,190,207,207,207,209,206,197,169,116,95,92,84,89,206,210,209,207,207,204,144,129,128,107,177,200,194,193,191,191,207,208,209,211,207,199,178,134,106,90,80,102,212,208,210,207,212,174,124,129,114,117,202,197,196,194,192,191,208,210,211,210,204,198,183,139,112,91,73,129,226,209,208,212,200,127,117,125,97,152,208,196,197,195,194,192,208,210,212,210,200,200,182,145,118,91,77,100,186,210,217,212,157,120,111,112,86,187,203,199,198,196,194,192,208,210,211,209,201,197,180,148,115,91,88,85,95,117,181,162,119,127,120,86,145,209,199,200,199,197,195,193,209,210,212,208,201,203,183,146,122,96,87,93,100,102,106,104,113,121,99,127,211,202,201,199,198,198,196,193,209,210,214,207,200,208,182,145,122,98,85,93,101,107,111,106,109,111,108,204,206,203,202,200,198,197,196,195,210,211,214,204,202,205,176,141,124,101,85,93,101,104,111,112,103,88,178,214,204,204,202,201,199,198,196,195,211,212,214,203,203,200,173,141,129,105,86,92,103,107,110,111,88,129,215,205,205,205,203,202,199,198,197,195,210,212,213,202,204,194,167,143,130,106,86,95,107,112,112,97,103,211,210,207,206,206,204,203,202,199,197,196,211,212,213,201,200,183,162,139,126,104,85,95,108,108,106,77,155,222,207,210,208,205,204,204,202,199,197,196,212,213,213,200,193,180,160,137,123,104,86,94,105,105,88,101,213,211,210,210,209,206,205,204,202,201,198,196,212,214,212,201,187,179,155,132,116,101,87,92,99,95,79,185,220,211,211,210,209,207,205,204,202,201,199,197,211,212,212,200,182,174,150,129,110,97,85,89,89,77,164,224,212,213,212,210,209,207,206,204,203,200,199,197
12,93,98,104,113,131,147,156,164,171,177,179,182,185,188,192,196,200,202,204,206,207,210,211,211,212,212,213,213,93,100,107,113,133,151,157,166,173,178,180,184,187,191,195,196,200,204,207,206,210,211,212,213,214,214,215,215,95,100,109,115,134,150,160,169,174,178,181,186,190,191,197,204,201,207,199,211,212,214,214,214,216,218,219,218,96,103,110,118,138,152,161,170,175,179,185,187,189,209,168,165,215,220,153,147,218,210,219,220,217,222,220,221,97,103,111,121,141,154,163,170,176,182,189,180,219,237,179,133,189,225,169,112,154,166,145,212,224,221,222,222,98,103,113,122,142,157,165,173,179,185,190,181,250,248,196,152,163,227,187,147,108,163,120,145,228,223,224,224,98,106,115,124,145,159,166,174,180,186,190,191,254,255,220,159,158,235,186,148,99,153,150,101,204,231,224,225,99,108,116,128,148,160,168,176,182,188,183,204,234,249,238,160,146,243,188,139,94,150,142,102,208,231,228,228,102,109,117,129,149,160,170,177,181,177,193,213,217,201,208,146,117,203,173,124,95,154,132,114,223,233,230,230,101,109,118,132,151,160,169,177,181,238,255,179,123,130,181,125,98,163,134,107,101,147,118,137,240,230,231,231,103,110,117,135,153,161,172,169,217,255,225,159,130,94,162,140,93,144,138,109,102,138,111,150,242,231,233,232,103,111,119,136,152,161,175,174,248,215,201,173,149,98,137,181,97,142,183,122,117,181,131,161,247,231,234,235,105,112,120,138,154,163,170,186,250,188,177,191,153,120,71,106,64,98,152,112,124,191,146,95,190,245,234,237,104,113,121,140,157,165,166,198,248,196,157,180,145,129,64,47,87,130,130,129,166,149,116,102,127,242,236,238,106,114,122,142,157,165,167,201,255,211,171,144,129,109,58,76,147,200,205,195,184,151,144,125,142,244,237,238,108,114,124,146,158,168,168,210,255,213,188,142,109,110,92,132,201,227,223,204,180,146,136,113,183,248,237,239,109,115,125,148,160,169,168,215,255,222,194,152,133,162,154,206,237,236,225,193,163,144,120,113,222,243,240,240,110,117,126,148,158,170,172,207,250,215,187,155,156,163,161,233,232,234,221,177,151,139,110,148,247,238,241,241,109,117,128,150,158,170,176,196,244,208,184,164,159,149,174,221,222,230,201,164,142,131,110,205,247,238,242,241,109,116,131,151,159,170,180,188,239,205,190,182,165,165,198,216,223,212,180,155,135,116,134,243,242,242,242,243,111,117,131,152,162,174,180,183,222,213,202,198,180,171,197,208,207,182,155,140,129,108,183,250,241,243,245,246,112,118,134,154,163,172,180,181,209,224,201,189,173,155,163,185,183,161,138,129,119,131,236,242,242,243,247,246,113,118,135,153,160,172,180,185,200,235,193,180,163,146,147,159,152,142,128,129,109,192,249,241,244,246,246,246,113,118,138,155,161,173,180,188,194,240,213,178,151,141,154,149,150,143,127,116,138,242,239,243,245,247,247,247,113,119,139,155,163,174,181,189,192,239,232,186,167,166,170,148,151,144,124,100,187,249,240,246,247,247,248,249,114,122,140,154,163,173,183,185,208,255,247,198,186,176,172,145,139,128,117,89,201,250,242,245,247,248,249,249,113,121,142,156,165,177,178,212,248,231,255,209,197,175,166,143,127,116,114,86,204,250,240,247,247,248,250,250,114,121,143,156,166,177,182,253,255,204,231,209,195,171,160,136,115,115,111,90,216,249,243,247,248,249,250,250
18,141,145,148,151,155,157,159,161,164,166,169,168,169,169,170,171,173,173,174,174,173,174,175,174,174,174,174,173,144,147,150,153,156,160,163,165,166,168,171,170,171,172,172,174,176,176,177,176,175,175,177,177,176,177,176,174,146,149,153,156,158,161,166,168,170,171,173,173,175,175,176,176,177,177,177,177,177,178,179,179,180,180,180,179,149,152,155,157,161,164,168,171,172,174,175,176,177,178,179,180,180,181,183,181,180,182,181,182,183,182,182,181,150,153,157,160,164,167,171,173,175,176,179,178,179,182,183,182,180,179,165,180,186,188,187,183,184,184,184,183,152,156,159,164,166,169,173,174,177,178,181,181,182,184,182,179,202,170,120,112,184,169,167,190,188,185,185,186,154,157,162,165,166,170,174,175,180,183,182,185,187,184,153,122,175,143,83,79,85,135,108,135,198,187,189,189,156,160,164,166,169,173,175,179,181,183,184,177,178,215,147,108,145,136,86,80,57,128,134,71,163,198,190,190,158,163,166,169,173,175,178,181,183,183,195,161,110,161,176,138,151,161,139,136,116,101,115,72,120,207,190,192,158,164,169,173,174,176,180,183,184,187,210,180,140,96,162,159,117,165,176,174,170,128,71,53,119,209,194,197,162,164,169,174,176,179,182,186,186,194,191,202,175,115,100,158,99,116,175,171,175,134,75,36,133,209,196,199,163,166,171,174,177,181,183,186,186,198,152,170,167,136,70,108,118,90,136,132,163,141,89,37,143,210,197,199,165,169,174,177,180,182,185,187,188,202,133,110,149,105,52,72,104,66,75,120,175,161,106,43,164,205,197,200,166,169,174,178,181,183,187,190,191,205,175,134,131,77,40,62,83,49,51,70,189,174,123,54,172,210,198,199,169,172,175,179,182,185,188,191,195,204,170,120,114,78,38,52,83,33,33,108,194,192,142,68,98,214,200,201,169,173,175,179,182,185,189,191,195,203,184,141,106,79,38,55,84,33,119,202,195,185,138,90,56,192,210,205,171,175,177,180,182,187,191,193,193,209,199,160,117,83,66,54,55,123,215,211,203,168,120,88,68,195,209,206,173,176,179,182,185,189,192,194,194,209,200,164,126,102,90,83,115,201,217,204,185,155,100,70,83,213,206,207,175,177,179,184,187,190,194,197,196,207,203,175,146,130,111,97,149,210,218,195,154,128,92,54,113,219,205,208,174,177,180,183,187,191,195,198,196,204,202,181,154,129,115,101,149,208,216,183,145,113,83,52,144,220,206,209,175,179,182,185,188,192,194,199,198,198,199,182,154,131,141,110,133,207,210,167,129,98,75,55,176,218,208,211,176,179,181,188,190,192,197,198,201,196,194,189,165,150,154,117,113,205,190,150,110,84,67,70,202,215,212,213,176,179,183,187,190,195,196,196,199,197,190,185,171,149,154,127,104,194,172,130,97,76,59,95,221,212,213,214,177,180,182,186,189,191,194,195,199,201,194,187,176,152,146,126,98,178,156,108,87,75,51,130,227,211,214,214,175,178,180,185,190,190,193,197,199,200,198,197,174,146,131,104,84,154,128,87,79,73,58,176,219,212,214,214,174,177,182,185,190,192,194,197,200,190,203,196,159,133,104,79,93,137,105,90,83,63,107,215,210,212,214,214,176,179,183,187,191,193,196,199,198,191,215,191,161,141,110,105,103,133,95,95,79,64,180,217,212,213,214,214,176,179,183,188,192,193,196,199,196,196,215,200,175,157,120,106,120,118,96,92,55,125,219,210,214,213,214,215
6,188,189,188,188,188,188,188,188,189,187,187,186,186,185,185,186,184,184,183,182,180,180,180,179,178,178,176,174,189,190,190,190,190,190,189,190,190,188,188,188,187,187,187,186,185,185,184,183,182,181,181,180,179,178,177,176,191,192,192,192,191,191,191,191,191,190,189,190,189,188,188,186,186,186,185,184,183,182,182,181,180,179,179,177,192,193,194,193,192,192,192,192,191,192,191,191,190,189,188,187,188,186,185,185,185,184,183,181,180,179,179,177,193,194,195,194,194,194,193,193,193,192,192,192,192,191,190,190,190,188,187,186,185,184,184,182,181,180,180,179,194,196,197,196,197,197,196,195,194,194,193,193,193,191,191,192,190,189,188,187,187,185,185,184,183,181,180,180,195,197,198,198,199,198,197,197,196,195,194,193,194,192,193,192,192,190,190,189,189,187,187,187,185,182,180,180,197,198,199,199,199,198,198,198,198,200,200,199,195,196,196,196,195,193,190,188,186,183,175,172,181,182,183,181,198,200,200,199,200,198,200,199,194,185,180,185,185,176,168,163,157,167,168,167,159,161,142,154,194,169,171,183,200,200,202,202,201,202,194,180,172,156,145,139,141,164,155,144,135,144,164,166,156,155,148,148,176,141,168,187,200,202,206,203,193,183,161,157,164,162,161,142,96,128,149,147,119,135,137,134,126,110,112,119,134,160,186,184,204,201,192,179,169,162,157,153,157,164,158,116,85,73,87,90,91,106,115,128,133,150,162,172,184,190,187,185,189,179,169,164,158,154,152,144,149,156,146,112,80,72,77,104,134,167,189,193,197,199,197,195,192,188,187,186,181,177,169,161,155,155,154,150,150,153,155,139,93,62,132,205,202,204,199,197,195,194,194,192,192,190,188,187,190,177,169,161,158,156,156,151,150,153,156,136,94,70,90,202,200,198,198,197,196,196,196,193,192,192,190,189,179,171,169,163,157,157,155,157,152,154,152,141,96,77,63,163,209,199,200,199,198,197,196,195,193,192,192,189,171,169,167,160,159,157,157,157,159,161,160,149,106,77,65,118,212,199,201,200,199,198,197,196,194,192,191,190,180,161,158,162,167,163,158,152,147,149,150,133,101,78,71,75,201,205,201,200,199,198,198,196,195,193,192,192,174,155,156,165,169,168,156,151,145,143,136,117,99,84,67,106,207,203,202,201,201,200,199,198,197,194,193,193,152,145,158,163,161,159,152,143,136,143,133,105,99,92,66,183,212,202,202,202,203,202,200,198,197,197,194,193,115,130,144,157,151,142,134,125,118,117,105,96,95,98,69,188,209,203,203,203,202,201,200,199,197,195,194,192,63,86,110,136,133,121,113,107,100,81,67,82,103,102,61,173,212,202,204,202,201,200,199,198,196,194,193,192,60,42,47,72,94,96,83,79,80,73,71,94,99,87,80,192,208,204,204,203,202,201,199,198,197,195,193,192,63,50,29,35,35,53,103,129,110,83,81,101,114,162,193,207,205,205,203,204,203,202,200,199,199,196,194,193,59,57,32,37,24,135,224,217,208,178,160,172,202,214,211,207,206,205,204,204,203,202,201,199,199,196,194,192,56,59,35,25,54,212,214,210,213,217,218,216,211,207,208,207,206,205,205,204,202,201,200,200,200,203,205,203,62,54,32,24,151,223,209,212,212,211,209,209,209,210,209,208,207,205,206,208,209,209,205,200,194,166,140,142,63,42,24,86,225,210,212,211,212,211,211,211,209,209,209,207,207,207,205,183,153,139,124,105,86,61,46,45
3,163,166,170,172,173,174,175,176,178,178,178,177,176,193,179,162,176,176,175,173,172,170,168,167,166,164,161,159,166,169,173,174,176,178,179,179,181,182,182,181,179,203,201,142,174,180,177,176,175,174,171,170,168,166,163,161,169,172,174,177,180,181,181,182,184,184,184,184,183,198,219,142,160,183,180,179,178,177,175,173,170,168,166,164,171,173,177,179,181,183,184,184,186,186,186,187,187,191,230,171,149,185,184,182,181,180,178,175,173,171,168,167,173,176,179,181,184,186,186,187,188,188,188,189,190,190,233,194,141,183,186,184,183,182,180,178,176,174,171,171,176,179,182,185,186,187,189,191,190,191,191,193,191,209,237,204,153,178,190,188,186,183,181,181,179,177,175,173,178,181,184,186,187,189,191,193,193,192,205,225,215,224,240,239,195,163,188,190,188,186,185,184,182,180,178,176,179,183,186,189,189,191,192,194,196,194,228,252,247,230,195,205,205,148,187,187,179,190,188,186,184,183,181,179,181,184,188,192,193,195,195,196,196,211,240,241,214,215,185,150,199,175,193,166,164,194,191,189,187,185,184,182,184,187,191,194,196,197,197,199,201,239,248,236,195,176,188,161,175,199,191,147,137,193,194,192,190,188,186,185,187,189,193,196,198,199,200,201,208,237,206,176,203,192,168,178,139,141,177,159,128,169,198,195,192,190,189,187,189,192,195,198,200,201,202,202,215,237,177,111,129,151,125,131,114,95,158,182,150,147,197,197,194,193,191,189,191,194,198,200,201,202,204,204,220,232,166,130,117,114,112,111,103,91,147,194,157,155,199,199,196,195,193,192,192,196,199,201,203,205,206,205,228,234,195,162,129,117,117,120,105,104,178,203,157,167,201,199,198,197,196,194,194,197,200,203,205,207,208,208,234,241,202,155,125,120,127,128,134,160,209,210,159,179,203,201,201,200,197,196,196,198,201,204,207,208,210,211,234,239,190,142,122,125,136,145,186,217,226,206,153,187,206,204,202,201,199,197,197,200,204,206,207,209,211,211,234,239,191,146,130,131,144,170,223,238,223,189,147,193,208,206,204,202,201,199,198,201,205,207,209,211,214,213,233,243,201,156,137,138,151,196,238,237,210,165,152,202,209,207,206,205,203,201,200,203,206,209,211,212,214,214,230,246,208,166,144,146,166,219,239,229,201,153,157,210,210,209,209,205,202,194,200,204,207,209,211,213,213,214,228,248,219,177,151,152,176,231,237,217,190,147,168,213,213,208,173,148,141,127,201,204,207,209,212,213,214,216,225,246,224,188,161,161,181,227,229,204,177,143,183,215,216,177,123,116,110,106,201,205,209,212,214,215,216,218,222,240,227,199,175,174,178,211,210,184,159,143,200,217,203,141,110,104,100,95,202,206,209,212,214,216,217,219,220,235,232,209,184,179,163,180,183,156,139,155,213,202,147,108,90,76,64,49,204,207,209,213,215,217,219,219,192,210,240,216,186,167,144,147,151,137,122,163,163,129,109,96,80,64,61,53,205,208,211,215,217,218,221,185,90,167,246,214,172,143,122,124,127,121,84,68,87,106,105,102,86,61,53,55,183,187,191,194,198,200,199,120,38,133,224,193,146,115,104,113,111,93,43,20,55,88,91,96,101,73,50,52,124,126,129,130,129,129,135,109,54,89,171,178,137,100,108,114,94,61,22,32,72,73,75,80,99,89,58,46,119,118,123,123,120,122,126,128,100,90,122,159,131,105,117,107,80,54,36,54,77,59,57,68,88,96,72,47
15,87,92,93,94,98,100,104,116,126,134,141,145,151,153,155,158,161,164,167,171,173,174,177,179,181,182,183,184,87,90,90,91,94,97,105,116,126,134,141,146,152,153,156,158,162,166,168,171,174,176,179,182,183,182,183,184,88,85,117,148,112,98,103,115,127,135,141,148,153,154,155,158,162,165,168,172,174,176,179,182,183,181,183,185,89,78,153,186,168,144,127,119,125,130,142,150,153,155,155,158,162,167,170,173,177,178,179,180,182,182,185,186,88,84,114,165,157,153,159,150,146,134,132,134,141,146,152,159,165,169,171,174,176,179,179,181,183,184,186,188,88,91,88,110,121,118,137,146,151,156,149,139,137,136,139,140,142,149,158,168,178,178,180,181,185,186,187,189,88,89,92,94,98,101,114,120,121,146,149,147,141,142,151,154,142,124,115,107,160,183,182,185,186,187,188,190,88,90,93,95,96,99,108,115,110,125,134,132,127,124,149,164,164,139,128,98,92,169,185,185,187,188,190,192,88,89,91,94,96,98,110,121,126,133,134,132,127,123,157,161,165,148,147,125,100,107,177,187,188,190,191,193,87,89,90,93,96,98,110,119,127,137,145,148,143,158,175,161,156,169,156,146,128,97,111,182,188,191,192,194,86,88,90,93,96,100,109,120,135,137,142,149,159,185,177,137,154,172,153,167,147,114,83,119,189,189,192,193,87,88,89,93,96,98,114,160,146,148,143,135,163,164,134,116,141,163,148,179,157,121,96,77,144,194,193,194,87,88,90,93,95,96,124,168,163,174,177,150,122,127,101,75,130,143,148,178,159,125,103,85,83,161,196,197,87,88,91,94,95,97,111,135,145,177,186,153,128,140,131,111,127,134,152,157,150,127,106,88,81,87,169,198,86,87,89,91,93,98,108,121,140,157,154,135,145,150,141,144,147,139,118,111,126,116,103,87,82,74,100,183,86,87,87,88,91,96,109,120,129,136,131,121,140,150,149,154,160,145,111,87,98,100,96,93,85,82,74,114,84,86,86,88,90,94,108,119,127,134,190,131,104,113,143,153,156,140,105,88,93,92,93,96,91,86,83,73,82,83,84,89,89,94,106,118,127,132,202,155,96,46,81,130,146,133,105,92,94,93,94,98,94,90,86,79,82,83,84,87,87,94,107,117,127,132,188,149,86,63,56,75,126,107,92,92,97,98,97,98,95,92,89,82,81,82,84,85,86,94,107,117,128,132,186,146,78,107,69,75,107,118,102,98,103,105,102,97,94,92,89,87,80,81,82,84,85,92,104,115,126,130,178,143,74,148,84,124,93,129,124,116,109,102,99,95,91,90,88,89,79,80,80,83,84,90,101,114,126,125,192,139,68,157,133,98,147,124,109,99,97,94,94,93,92,93,92,89,79,78,77,80,79,87,100,112,123,126,183,122,72,149,167,73,158,146,93,115,82,77,81,79,80,85,89,92,126,122,120,122,122,125,127,130,133,134,145,91,105,154,139,94,155,161,153,164,110,69,67,67,68,72,80,87,101,100,101,104,107,106,103,101,98,97,100,88,102,108,105,102,110,111,112,111,108,83,73,81,87,92,95,97,100,101,100,101,100,100,101,99,94,96,99,102,102,100,101,103,101,100,101,100,101,101,99,109,103,110,108,114,103,102,102,105,102,102,103,103,102,102,106,104,103,105,108,105,104,104,105,106,108,108,104,134,120,121,114,123,106,103,102,103,103,104,106,106,106,106,106,103,103,105,106,106,106,106,104,104,105,107,101,135,150,136,131,133
4,197,198,199,200,200,201,202,202,204,204,204,204,204,204,204,205,205,204,203,203,203,204,204,204,204,203,202,201,197,199,200,200,201,203,204,204,205,204,205,205,205,205,205,205,205,205,204,205,204,203,204,204,204,204,204,203,198,200,201,201,201,204,205,205,206,206,205,205,206,207,206,204,205,207,206,205,206,206,206,206,206,205,205,205,200,200,203,204,204,205,206,206,206,206,207,205,204,205,205,210,209,207,206,209,208,208,207,208,208,207,206,205,201,202,204,204,205,206,206,206,207,206,205,210,229,232,211,209,238,227,189,194,208,206,212,209,209,209,207,206,202,203,204,205,205,206,207,209,206,213,226,225,209,235,219,163,196,219,181,145,206,200,186,211,209,209,207,208,204,205,205,206,206,208,209,206,216,242,243,214,155,189,204,151,156,199,154,156,235,199,142,193,214,209,210,209,205,206,207,209,209,209,210,206,233,240,239,212,151,169,214,146,126,207,164,207,235,190,135,191,217,211,212,211,205,207,208,210,211,209,211,206,236,229,216,227,188,145,214,155,144,211,219,241,226,214,151,196,218,212,213,211,207,208,209,211,211,210,213,207,237,229,206,205,172,106,163,224,214,216,225,214,217,231,189,182,220,212,212,213,207,209,210,212,212,211,212,214,242,237,214,185,154,123,115,193,192,195,203,182,225,241,223,173,207,217,214,215,208,210,211,213,214,214,210,221,243,230,196,173,165,151,142,144,144,164,162,145,237,243,236,193,176,222,214,214,210,211,212,213,213,217,212,226,243,232,201,170,150,146,153,157,142,166,144,172,239,240,232,204,158,211,218,215,211,212,213,214,215,217,212,231,243,234,204,173,156,149,157,166,172,194,203,242,240,232,214,190,154,191,224,217,212,212,214,215,217,217,213,234,243,235,212,185,161,153,161,179,184,209,240,241,237,226,201,172,149,193,224,216,213,215,216,217,217,219,214,234,243,236,221,198,165,153,160,179,204,235,243,241,235,219,191,163,149,210,221,217,213,216,217,217,218,219,215,235,243,238,228,203,179,165,165,188,231,243,242,241,228,207,180,152,160,224,219,219,214,215,216,217,219,220,215,234,243,241,233,210,199,177,182,205,238,242,242,236,218,194,168,143,183,229,219,221,216,216,217,217,219,221,216,231,243,242,237,217,209,198,191,207,229,243,237,224,205,181,156,141,208,227,221,222,216,217,218,218,218,220,220,228,243,242,241,226,216,207,192,192,221,242,223,212,196,168,146,154,227,223,223,221,216,218,219,221,224,224,222,221,241,241,238,227,216,201,194,191,209,233,208,194,183,159,134,187,232,222,223,222,218,218,221,211,195,183,169,160,160,160,149,141,137,139,145,153,174,196,194,188,174,149,136,221,228,225,225,224,218,222,186,167,158,153,149,145,137,128,120,110,103,101,89,85,97,103,114,134,154,131,167,233,225,226,225,223,219,223,170,157,160,155,151,148,137,130,120,111,109,103,90,90,95,91,82,78,88,105,216,232,226,226,225,224,218,227,186,152,156,152,149,145,130,122,116,108,107,98,92,92,96,89,83,83,81,71,136,235,226,227,227,227,220,228,200,154,155,149,149,140,130,119,115,108,105,97,92,92,93,86,80,79,80,82,61,191,237,226,229,228,221,227,208,159,153,152,149,140,127,121,113,106,102,98,92,92,90,85,79,77,79,77,82,213,233,228,228,228,221,226,213,156,152,155,144,135,126,119,111,105,99,97,93,91,88,83,78,76,83,64,155,243,226,229,229,229
10,37,67,69,72,76,81,87,96,103,105,108,111,115,118,121,122,125,125,128,129,129,129,129,130,130,130,129,128,42,69,69,73,77,82,89,97,103,107,110,113,118,120,123,125,126,136,127,130,131,130,131,131,131,131,131,130,46,70,70,74,78,82,90,99,105,110,113,117,121,123,126,125,133,163,111,120,135,132,133,133,132,132,132,131,51,70,71,75,78,83,92,101,108,112,115,120,123,125,128,127,138,161,119,105,140,134,136,135,135,134,134,132,55,71,72,76,79,83,93,103,110,111,116,121,125,128,131,130,136,163,138,101,139,137,137,137,136,136,135,134,59,71,73,76,79,85,95,105,110,125,122,120,129,131,132,134,134,169,160,102,134,141,139,138,138,138,137,136,64,72,74,76,80,86,96,106,113,165,121,85,121,134,135,137,136,167,161,106,126,146,141,141,141,140,139,138,67,71,74,77,81,87,98,107,113,139,109,82,79,142,122,115,141,162,168,111,116,149,143,143,142,143,142,141,68,71,74,78,82,88,98,109,116,120,114,96,85,137,98,95,143,165,175,117,104,152,145,146,144,144,143,142,70,72,74,78,82,88,100,109,118,121,125,118,114,146,96,63,137,163,150,109,86,149,148,148,147,146,145,145,72,73,75,79,82,89,102,111,119,123,126,137,125,148,108,62,107,152,107,90,75,143,151,148,149,149,147,147,73,73,75,79,82,90,103,113,121,123,127,134,129,150,125,100,76,96,85,88,71,137,155,151,151,150,149,148,74,74,75,79,82,90,103,114,122,125,128,137,146,121,142,134,112,69,64,79,71,119,161,153,153,152,151,150,74,74,75,78,83,91,104,114,123,126,126,153,158,103,109,164,140,115,79,70,67,91,162,154,155,154,153,153,74,75,75,79,83,92,105,116,124,127,133,149,167,135,69,134,165,137,116,66,58,74,160,158,158,156,155,154,75,74,75,79,82,92,106,117,123,134,169,126,151,128,80,122,176,148,124,71,52,75,160,160,159,159,157,156,75,74,76,80,82,93,107,119,123,141,184,130,110,139,107,166,166,140,124,81,58,57,146,166,160,161,159,158,75,75,76,80,82,94,108,119,126,132,166,145,99,163,150,177,169,137,119,87,64,53,143,168,162,162,160,160,75,75,76,79,82,94,108,119,128,127,151,148,105,165,123,158,171,144,110,84,68,57,151,168,164,164,163,161,76,75,76,80,82,95,109,121,128,128,149,163,138,136,79,171,168,135,106,82,71,64,158,168,165,165,165,163,76,75,76,79,82,96,109,121,129,133,133,174,174,128,108,183,161,131,103,79,72,68,163,170,167,166,165,164,76,75,76,79,82,96,109,122,130,133,135,156,188,179,164,176,152,124,98,81,74,75,168,169,168,167,166,165,76,75,75,78,82,96,110,122,130,133,138,148,185,183,163,153,139,115,97,87,72,89,175,168,169,168,167,166,76,74,74,77,82,96,109,121,129,131,138,139,134,177,145,126,135,123,110,100,70,105,177,167,169,169,167,166,75,73,73,75,80,95,109,121,128,130,141,131,44,164,131,139,145,143,135,112,64,106,177,168,169,169,168,166,74,71,72,74,79,94,109,121,129,130,143,124,16,136,171,154,133,139,128,93,51,47,173,171,170,169,169,167,70,68,70,73,77,92,107,120,128,130,144,104,19,85,143,130,112,114,93,52,17,70,181,169,171,169,169,167,75,72,72,73,77,92,106,119,126,130,139,90,30,53,53,47,41,42,32,19,6,108,181,167,170,169,169,168
4,162,163,165,166,167,168,167,167,167,167,168,168,168,170,172,169,168,171,171,168,167,168,168,167,166,167,166,165,164,166,166,167,169,169,168,168,169,169,171,171,169,162,157,167,173,157,151,172,173,168,171,170,168,167,168,168,167,168,167,169,171,172,171,170,172,171,167,169,179,167,136,124,145,151,125,122,164,176,172,173,171,170,170,170,168,168,169,170,172,172,173,174,172,168,155,139,135,176,180,136,81,102,148,102,71,169,175,172,174,172,173,172,170,170,171,172,173,174,175,175,180,187,184,148,96,92,180,135,91,36,95,113,44,137,185,173,174,175,174,174,172,174,174,174,174,170,172,142,124,162,163,170,112,48,134,147,87,39,54,107,53,123,188,175,176,176,176,174,175,176,176,175,175,180,182,138,71,66,111,176,142,58,68,159,130,57,33,133,74,118,191,177,178,178,177,176,176,175,176,176,180,161,152,150,92,42,43,164,178,88,38,162,159,84,33,125,101,129,189,179,179,179,179,179,176,177,178,177,177,167,109,134,139,82,14,122,180,96,43,124,160,95,35,78,83,140,191,180,182,181,181,180,177,179,180,179,180,172,102,93,144,100,47,73,98,78,58,67,103,75,40,58,54,72,189,181,184,182,181,181,179,180,180,180,183,178,158,133,111,79,51,67,67,72,82,82,75,62,54,91,96,61,136,195,180,183,182,182,180,181,181,182,184,186,164,137,105,79,67,77,76,77,99,92,93,62,94,140,131,112,84,180,187,185,185,184,181,181,183,183,186,188,156,126,106,86,88,88,93,112,112,130,146,151,111,138,145,124,63,120,199,183,185,184,181,183,184,183,186,184,148,112,97,80,88,104,116,140,156,165,182,181,168,149,128,92,58,62,186,188,186,186,183,184,186,184,186,190,164,131,105,92,103,112,119,177,167,169,178,173,164,146,118,82,58,50,171,193,185,187,184,186,187,187,185,193,179,142,112,96,99,111,138,183,166,174,174,173,158,140,118,83,54,70,191,188,187,188,185,186,188,188,186,188,185,156,128,101,100,119,139,183,175,184,185,173,158,141,113,80,43,122,202,188,191,190,186,187,188,188,188,187,191,172,139,108,111,132,131,180,184,191,191,181,166,135,99,75,48,174,199,192,192,190,186,188,188,189,189,186,190,183,148,118,122,145,136,175,188,196,197,198,166,124,92,58,81,201,193,194,192,191,187,188,189,190,191,186,183,190,161,121,129,144,146,177,187,200,202,193,152,114,92,43,135,205,192,194,193,193,188,189,191,190,192,184,174,181,170,131,130,141,147,182,187,198,196,166,130,105,80,51,181,199,194,194,194,193,188,190,192,191,194,186,167,181,177,149,132,135,146,176,187,182,172,144,116,96,56,90,207,194,195,194,194,194,188,189,191,192,194,194,170,174,178,163,145,141,148,165,179,169,147,128,101,76,51,167,204,195,197,196,195,195,186,188,189,189,190,196,183,161,168,165,152,146,144,144,152,146,125,102,77,45,117,208,194,196,198,197,195,195,187,188,189,190,190,194,190,162,167,161,152,148,137,129,136,134,113,82,55,55,191,197,196,195,196,195,194,193,189,189,191,191,191,194,191,165,166,153,144,142,130,115,121,122,94,65,42,99,208,193,197,197,196,196,196,195,189,190,192,192,192,193,192,168,161,132,124,134,123,119,119,107,79,64,38,138,206,195,199,197,196,196,196,195,190,190,193,194,193,193,194,170,170,141,139,150,141,132,119,102,83,67,41,162,202,196,198,197,197,197,197,195
15,57,60,64,67,70,75,85,97,105,111,114,118,122,127,131,132,136,139,140,142,143,146,147,147,147,148,149,148,58,61,63,68,71,75,86,97,105,112,116,117,122,127,131,134,138,140,142,144,146,146,148,149,148,150,152,151,59,60,63,68,73,78,90,99,107,114,118,119,124,130,133,137,140,143,144,146,147,149,150,151,152,151,152,152,60,61,64,70,67,73,88,99,108,114,118,121,126,132,134,139,142,144,145,148,150,151,152,153,155,153,153,154,59,61,65,67,99,107,106,105,113,120,119,123,127,133,138,140,141,144,147,150,151,153,153,155,157,157,157,157,59,65,56,107,177,124,117,111,127,137,121,116,118,127,129,139,148,148,150,151,152,155,156,158,159,158,158,158,60,65,56,106,146,86,86,85,121,119,100,101,137,139,114,103,114,135,145,156,159,155,158,160,160,160,160,160,61,62,64,68,82,75,77,73,104,97,80,91,142,142,122,87,103,112,119,116,139,165,158,161,162,161,162,161,61,62,66,70,71,81,91,99,105,101,92,95,131,135,98,91,144,127,125,114,81,131,170,160,164,163,164,163,61,64,66,70,74,82,96,108,118,124,125,124,117,95,75,165,138,138,105,139,117,67,143,170,163,165,166,165,63,63,66,70,72,83,96,107,117,121,130,161,106,76,83,141,133,102,102,139,121,104,62,158,168,166,166,166,61,63,65,70,72,83,97,108,118,121,149,171,134,75,53,55,92,75,125,108,113,122,64,81,176,166,168,168,62,64,66,69,72,84,98,108,119,122,139,174,160,116,95,76,63,78,141,104,113,88,84,43,124,181,167,170,61,63,66,69,73,84,99,109,119,124,151,148,155,140,155,133,79,77,76,84,84,57,48,51,48,158,175,170,62,64,66,70,74,85,98,110,116,140,167,133,131,118,151,127,63,63,67,61,71,55,37,46,35,61,172,173,63,64,67,70,73,85,99,111,118,138,135,98,103,109,132,92,59,65,63,66,74,65,45,44,44,25,97,184,63,63,65,70,73,86,100,110,120,130,144,107,104,77,65,56,48,54,55,57,62,58,57,54,43,40,40,161,63,64,66,69,73,87,101,112,118,137,158,158,131,88,67,88,76,32,59,70,67,63,70,67,50,44,32,97,62,64,66,69,73,87,101,111,122,129,139,157,139,108,100,93,98,38,62,90,83,84,89,80,53,38,43,39,63,63,66,69,74,88,100,112,123,128,134,134,118,94,59,55,90,113,57,89,102,99,91,72,44,41,46,43,63,62,65,68,73,87,102,114,122,128,129,133,114,89,58,41,73,104,65,65,109,107,81,58,42,46,49,47,62,62,65,67,73,87,102,114,123,128,130,137,145,151,152,132,99,123,125,94,91,87,63,53,49,53,52,48,59,61,64,65,72,87,100,113,122,128,129,135,141,144,155,152,72,91,107,118,79,81,69,44,30,29,29,32,58,60,63,63,70,87,101,113,123,127,129,135,142,147,159,128,49,46,25,29,38,41,28,13,5,3,0,0,58,59,62,63,69,85,99,112,123,128,129,136,142,146,162,104,50,54,51,4,8,20,13,7,6,3,0,0,57,58,60,63,68,84,100,112,122,129,131,136,143,148,157,82,49,46,47,38,0,10,15,9,6,3,0,0,55,55,59,61,68,84,99,111,122,128,131,136,142,152,141,55,47,45,39,47,0,0,8,5,0,0,0,0,52,53,57,58,67,82,96,109,120,126,128,135,140,156,110,47,51,42,38,50,0,0,0,0,0,0,0,0
5,138,141,145,148,152,155,157,159,161,162,164,164,165,165,165,164,164,164,164,163,163,163,161,160,159,158,158,157,140,143,147,150,154,156,159,161,162,164,165,166,166,166,166,166,165,165,159,162,164,164,163,162,161,160,159,159,141,145,150,153,156,158,161,163,164,165,167,165,163,168,169,168,169,163,135,150,166,166,165,164,164,163,161,159,144,148,152,155,157,159,162,165,166,167,171,155,139,165,171,171,174,153,118,146,168,168,167,166,166,165,163,161,146,150,153,157,159,161,164,167,169,170,175,145,123,164,173,175,170,130,124,161,171,171,169,168,167,166,165,164,147,151,155,158,162,164,164,168,171,174,179,133,129,170,176,177,152,115,144,172,173,172,172,171,170,169,167,167,149,152,156,160,164,167,151,158,172,180,176,120,142,176,179,169,130,125,166,176,175,174,174,174,173,171,170,170,151,154,158,162,166,171,140,139,172,186,166,117,155,178,174,146,119,151,178,179,178,177,177,176,175,174,173,173,152,156,159,163,167,174,149,127,170,182,145,119,164,175,161,121,128,172,182,181,180,179,179,179,177,177,176,175,153,157,161,165,168,175,162,126,162,170,124,123,168,167,148,114,148,182,184,183,182,182,181,180,179,179,179,178,155,158,163,167,170,175,176,139,148,164,124,123,159,155,136,118,163,185,185,184,184,184,183,182,181,180,180,180,156,160,165,169,172,176,183,157,135,153,127,115,135,138,120,125,175,186,182,176,177,181,183,183,182,182,182,182,157,161,166,170,174,177,184,176,144,132,121,112,119,125,110,130,175,179,176,175,172,169,167,180,185,184,183,183,159,163,168,172,176,178,182,184,168,139,122,116,114,114,104,123,154,164,159,159,167,166,152,162,181,186,185,184,160,164,169,173,176,179,182,185,190,171,137,117,106,102,99,115,129,133,129,132,153,161,155,144,163,184,187,186,161,164,169,173,177,180,184,187,202,197,154,118,101,95,95,107,113,113,136,164,182,179,166,151,148,180,188,188,162,166,171,175,178,181,184,187,200,208,165,119,99,94,94,101,105,130,177,191,192,183,167,143,156,186,190,190,163,167,172,176,179,182,185,187,195,208,166,121,100,93,92,100,103,142,188,195,190,173,149,127,165,191,192,192,164,168,173,177,180,183,186,187,192,201,163,123,102,91,91,102,108,129,165,184,182,164,133,122,170,193,193,193,165,169,173,178,181,184,187,187,191,201,164,127,107,93,92,103,114,127,138,147,162,156,127,135,182,195,194,194,165,169,174,178,181,184,188,188,192,200,165,134,113,96,92,106,121,134,138,131,145,144,130,161,192,196,196,195,166,170,175,179,182,186,189,188,192,196,166,139,117,99,93,111,130,140,141,127,127,132,142,183,196,197,196,196,167,171,176,180,184,187,190,189,191,194,167,141,118,101,95,114,132,137,134,120,116,130,165,195,198,197,196,196,168,172,177,181,185,187,190,190,193,192,164,139,119,105,100,112,126,128,124,118,131,163,191,200,199,199,198,198,169,173,178,182,185,188,190,191,200,195,163,138,121,108,104,112,121,122,119,131,171,195,200,200,200,200,199,199,169,174,178,182,186,188,190,191,204,200,168,139,119,108,106,111,116,117,129,164,195,201,201,201,200,200,200,199,169,174,178,182,186,188,191,192,203,196,166,132,111,108,108,111,117,137,170,195,202,203,202,202,201,201,200,199,170,174,178,182,186,188,192,195,203,194,167,131,109,107,108,110,130,174,199,203,203,203,203,202,202,201,201,200
6,232,234,237,238,239,241,242,243,242,242,242,241,241,239,238,238,237,236,235,233,231,230,230,228,229,227,225,224,234,237,240,240,240,242,243,244,244,242,243,243,243,242,240,238,238,237,237,235,233,232,231,231,232,229,226,225,236,238,241,241,243,244,244,245,244,244,244,244,245,243,241,241,241,240,238,238,237,235,233,232,231,230,229,227,238,240,241,242,245,244,245,246,246,247,246,245,245,244,244,242,242,241,240,240,239,237,234,234,232,231,229,228,238,242,245,244,246,247,248,247,247,248,248,247,246,245,243,244,242,241,241,241,239,239,236,235,233,233,231,230,240,243,246,246,247,247,248,249,248,248,248,247,247,245,244,246,246,244,245,245,243,244,242,238,235,234,232,230,242,243,247,247,249,251,250,250,249,249,250,251,251,249,246,246,242,237,229,223,224,216,208,204,202,182,209,226,245,246,247,248,249,252,252,251,251,251,247,235,227,230,228,213,197,183,164,180,195,202,187,185,184,159,212,227,246,248,250,251,251,252,252,254,254,239,225,193,185,188,192,202,191,176,168,171,186,196,178,172,164,145,162,180,246,247,252,253,253,254,255,252,248,237,223,204,189,174,138,161,169,165,143,126,134,127,127,129,139,146,167,201,247,249,252,253,254,255,251,248,237,221,216,204,200,199,137,99,99,95,100,139,170,193,208,225,239,240,243,242,249,251,253,255,255,250,239,241,218,203,210,210,215,176,122,103,84,160,216,245,255,255,253,250,247,244,241,238,249,252,255,253,246,236,233,222,211,207,203,213,213,160,106,103,97,150,255,251,248,246,246,246,246,244,243,241,250,253,252,245,237,235,227,218,216,206,201,211,202,189,149,105,103,83,171,255,249,249,248,248,247,245,243,242,254,247,243,243,237,231,220,215,211,203,200,201,202,204,171,119,97,105,96,231,255,250,249,248,247,246,244,243,223,253,245,237,228,225,214,208,202,197,197,198,205,203,160,117,102,105,81,191,255,250,250,249,248,247,247,246,109,180,254,245,226,215,207,199,196,195,193,195,202,202,174,126,97,99,102,240,255,253,252,252,251,248,247,245,107,93,140,223,226,209,208,204,200,198,199,197,204,202,193,147,100,94,101,245,255,255,253,253,251,250,248,247,102,105,76,94,185,223,204,198,198,196,201,203,202,203,186,138,104,106,86,222,255,254,254,253,252,252,250,248,100,82,78,67,81,167,197,197,200,199,193,183,180,175,151,129,112,110,101,244,255,255,255,254,253,252,250,248,81,74,72,77,72,69,139,191,196,190,180,167,158,147,131,123,120,119,87,181,255,255,255,255,254,252,251,248,73,79,77,74,70,68,64,123,190,191,175,160,148,160,151,118,120,119,81,182,255,255,255,255,255,254,252,249,74,80,81,73,64,71,67,55,117,171,156,141,120,140,115,100,115,117,171,255,255,255,255,255,255,255,254,252,77,80,74,68,63,66,59,60,55,112,116,113,166,241,219,196,221,244,255,255,255,255,255,255,255,255,254,253,76,74,64,62,60,58,57,54,56,36,122,245,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,76,63,58,57,59,56,52,52,45,85,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,69,54,56,57,53,49,50,52,34,146,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,250,63,59,58,48,55,56,42,53,37,185,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,248
10,64,65,67,70,75,78,84,95,104,111,116,120,122,126,129,132,135,138,139,141,143,143,144,146,146,146,147,148,64,66,68,71,75,79,85,97,106,113,118,121,123,127,130,133,136,138,139,142,143,144,145,147,147,147,147,148,64,66,69,72,76,79,87,99,108,115,120,122,124,128,131,135,136,145,143,126,143,146,147,148,149,148,148,148,63,67,69,73,77,81,89,101,109,117,121,123,127,130,134,137,137,162,151,98,133,149,149,150,151,151,150,150,64,68,70,74,78,82,91,103,111,118,123,125,129,132,135,138,140,157,158,105,110,151,152,152,153,153,153,153,65,69,72,74,78,83,92,104,112,120,125,128,131,135,138,142,143,152,165,117,92,145,155,156,156,156,156,156,66,70,72,75,79,83,94,106,114,122,127,129,133,137,140,143,147,149,167,134,96,130,158,158,158,158,158,158,67,70,73,77,80,84,95,107,116,123,128,130,134,139,143,146,149,151,162,147,105,112,160,160,161,161,161,160,67,71,74,78,80,85,97,109,118,125,129,131,135,140,144,148,161,148,110,131,115,97,156,164,164,164,164,164,69,71,74,77,81,87,99,111,119,127,130,133,138,142,146,150,170,126,86,108,148,100,147,167,167,167,166,166,69,72,75,78,81,88,101,112,121,128,131,134,140,144,149,152,170,122,93,88,158,108,132,169,169,170,169,168,70,72,75,79,82,89,102,113,122,130,132,136,142,152,147,162,182,142,125,92,121,113,115,170,171,172,171,171,70,73,75,79,83,90,104,115,125,131,134,136,155,189,164,175,162,154,146,106,85,106,101,166,173,173,173,174,72,73,76,80,83,91,104,116,126,132,141,150,160,206,186,183,137,122,149,125,84,85,86,154,175,175,175,174,72,74,77,80,83,91,106,117,127,132,179,195,154,156,185,191,143,89,134,146,107,77,72,137,177,176,176,176,73,74,77,80,84,93,107,119,129,134,188,207,162,108,142,184,135,82,93,145,125,89,68,121,178,178,178,179,72,74,77,81,85,94,108,120,130,138,164,150,166,149,108,133,99,61,69,128,133,105,77,110,178,179,179,180,73,74,78,81,86,95,109,121,132,139,168,134,145,154,95,104,106,63,98,136,136,121,90,100,176,180,180,181,73,75,78,81,86,96,110,123,133,138,180,163,125,108,92,114,122,121,164,160,141,129,99,97,172,182,181,181,74,76,78,82,86,98,112,125,135,140,182,168,142,123,113,122,140,185,188,157,142,125,102,101,172,183,182,182,73,76,79,82,86,99,112,125,136,142,199,194,165,134,130,147,206,213,178,143,127,115,102,109,176,184,184,184,74,76,79,82,86,99,113,125,137,142,202,207,173,147,154,175,228,204,169,141,116,104,99,122,182,185,185,186,75,76,79,82,86,100,114,127,138,142,207,212,175,168,166,187,224,193,159,136,113,99,96,138,186,185,186,186,75,76,79,82,87,101,115,128,138,143,199,205,182,183,174,205,210,177,146,124,108,99,97,150,188,187,187,187,75,77,80,82,88,101,116,129,139,142,185,204,199,192,188,209,193,158,132,113,103,99,102,167,188,187,188,188,75,77,80,82,88,102,116,129,140,142,170,212,210,191,177,186,173,144,121,108,101,94,116,182,189,189,189,190,75,77,80,82,89,104,118,130,140,144,154,202,198,180,163,164,159,145,126,112,101,89,136,188,190,190,190,193,74,77,81,83,90,105,119,131,140,145,148,181,180,168,158,160,157,156,136,112,98,86,149,190,190,191,192,193
1,130,134,139,143,147,150,152,154,156,157,158,161,162,163,161,162,161,163,161,160,160,160,160,158,156,155,154,153,131,136,141,145,149,151,155,156,158,160,162,164,164,164,166,165,166,143,149,163,160,161,161,159,157,156,156,155,132,138,143,147,150,152,156,157,161,164,164,164,165,168,141,154,181,116,97,178,161,161,161,160,158,157,156,156,134,138,145,149,151,154,157,160,162,165,166,165,166,183,103,122,186,112,86,152,160,164,163,162,162,160,157,158,137,141,146,151,153,157,159,163,164,165,168,167,178,182,93,133,179,98,90,110,110,174,162,163,163,163,160,159,138,143,147,152,155,159,162,163,165,167,170,163,141,162,85,146,175,88,118,135,81,171,164,164,164,164,162,161,139,144,150,153,156,159,164,164,167,167,177,162,80,134,96,157,186,103,131,137,73,166,168,166,166,164,163,163,141,146,151,155,158,161,163,165,170,169,184,145,66,130,105,153,170,99,140,139,70,163,172,169,168,166,166,165,141,147,152,156,159,162,164,167,171,169,186,129,57,112,87,131,156,88,155,152,78,164,174,170,169,168,166,165,142,148,152,157,161,164,167,170,170,174,188,120,62,129,87,147,158,87,160,144,78,163,173,171,171,169,169,168,144,150,155,158,162,165,169,171,171,181,183,109,69,150,81,153,156,83,170,141,79,166,174,173,173,171,170,168,145,150,157,159,163,166,170,173,172,187,188,112,53,110,51,135,116,83,181,143,86,170,176,174,172,172,171,169,146,152,157,161,164,168,171,174,172,193,181,114,92,107,96,136,139,112,142,139,84,173,177,176,175,173,173,172,145,153,158,161,165,169,171,174,176,199,176,135,111,163,172,176,179,151,89,111,89,177,177,178,177,175,173,173,146,154,159,162,166,170,172,173,187,198,152,118,84,97,150,143,175,185,127,61,79,183,177,177,178,177,175,175,148,154,159,163,167,170,173,171,197,193,146,103,85,71,94,90,176,202,169,79,75,188,178,177,177,177,176,175,148,155,160,164,168,171,174,173,204,188,135,100,97,94,112,151,164,186,171,106,89,189,178,179,179,178,177,176,149,156,161,163,169,172,174,177,207,180,139,102,107,103,141,193,178,160,128,102,68,168,185,180,179,179,179,178,147,154,159,163,168,172,173,180,208,182,147,117,114,120,175,198,171,147,109,76,62,171,186,181,181,180,179,178,148,154,159,163,166,171,172,179,208,182,143,120,117,129,191,205,166,133,100,62,61,182,182,180,180,179,178,177,149,155,160,163,167,171,174,179,205,184,148,138,118,127,194,202,158,122,93,52,80,190,181,181,180,180,179,178,149,155,161,165,168,172,175,177,200,188,160,159,125,118,198,185,148,107,80,46,149,190,182,182,182,181,179,178,150,156,160,165,168,172,176,176,196,192,167,163,124,126,192,168,140,99,59,73,190,183,183,183,183,180,179,178,149,154,159,164,168,171,175,176,200,196,168,154,112,133,177,143,127,88,42,120,194,181,182,182,179,178,178,177,150,156,162,168,175,176,181,177,201,189,163,138,108,137,151,128,111,73,54,175,194,189,189,188,186,186,184,183,119,122,123,125,128,132,127,151,208,181,163,137,120,141,136,125,101,61,67,136,135,136,136,138,138,138,137,135,88,84,84,85,84,87,77,168,206,183,171,139,138,135,117,109,78,51,69,74,74,74,74,75,70,70,68,66,96,95,96,97,98,95,105,201,184,162,161,149,135,113,102,90,55,61,89,87,86,85,85,85,84,82,83,84
2,179,178,178,179,179,178,178,177,176,174,172,172,172,169,168,167,165,164,163,160,161,160,159,157,156,155,153,150,181,181,181,181,181,181,180,179,179,178,176,174,172,172,171,171,170,168,166,169,164,163,161,160,158,156,155,153,185,184,185,185,185,183,181,181,181,179,178,177,177,177,174,169,160,151,111,130,163,165,167,161,161,157,156,156,187,187,187,187,186,185,184,183,183,183,180,180,173,166,161,151,127,100,58,42,109,128,119,167,162,161,158,156,189,189,188,189,189,188,187,186,186,185,185,179,161,157,151,114,71,46,31,41,77,91,54,152,166,162,162,159,191,192,191,191,190,190,189,189,189,188,185,168,166,145,99,39,25,25,20,22,37,46,28,71,175,165,164,162,193,194,193,193,193,193,191,191,190,189,177,173,151,82,35,19,11,22,19,9,16,25,19,97,179,166,165,164,196,195,195,196,196,196,194,192,193,186,176,171,110,33,28,19,20,13,17,45,44,50,85,168,174,169,168,166,199,198,199,198,197,197,196,195,196,181,178,151,73,28,27,21,18,45,117,176,168,172,181,177,173,172,170,168,201,201,201,201,201,199,198,199,190,178,170,108,36,18,28,18,114,186,190,184,184,182,178,178,177,174,172,170,201,201,201,203,202,202,203,195,176,189,164,90,44,28,24,40,190,189,183,184,184,183,181,180,177,177,174,171,204,202,204,203,203,202,206,176,184,195,151,89,56,36,10,125,199,186,188,187,187,185,182,182,179,179,176,174,205,205,207,206,204,207,196,171,197,181,140,90,52,25,59,199,192,193,192,191,188,187,184,184,181,179,177,177,206,206,208,208,207,209,179,177,206,172,122,75,40,17,100,211,191,195,195,193,189,187,186,185,182,180,179,178,208,208,209,208,209,204,168,195,205,153,112,73,41,16,135,211,194,196,195,193,191,188,185,187,188,185,180,179,211,210,209,208,214,186,177,211,190,131,108,70,34,26,189,203,197,197,196,194,191,192,193,183,166,167,187,179,211,211,210,212,211,173,201,207,163,124,116,67,33,18,140,215,200,197,194,194,201,184,142,116,106,94,125,184,211,210,211,216,193,183,210,186,142,138,112,59,25,29,41,104,197,203,202,198,156,96,88,103,104,74,90,183,213,213,213,214,182,197,199,172,140,134,98,47,21,33,50,37,101,206,166,116,81,77,107,104,66,114,183,185,214,214,217,201,186,195,190,161,137,124,78,34,28,48,53,54,51,73,68,77,93,94,84,54,131,195,188,184,217,216,216,189,193,192,180,148,130,106,65,31,48,63,61,60,60,47,69,83,76,60,47,132,201,189,188,187,217,220,204,194,197,189,168,143,116,94,59,38,63,63,61,60,57,51,57,51,67,126,176,200,192,194,191,189,219,211,196,200,197,186,166,126,96,92,54,47,62,60,55,54,43,24,44,122,187,211,200,193,195,194,193,190,220,196,196,186,190,180,146,107,90,74,42,51,57,59,53,29,47,99,175,213,205,200,199,199,197,195,194,191,204,189,177,182,177,158,119,78,63,45,44,49,49,40,18,72,188,219,211,203,204,202,202,200,197,195,194,192,193,185,165,174,160,145,104,64,56,45,35,20,24,46,126,213,214,208,206,205,205,204,202,202,200,195,195,194,193,176,168,175,168,151,87,62,55,36,60,120,162,204,225,212,210,210,208,207,205,204,203,202,201,197,196,194,188,173,166,174,165,139,71,59,43,67,201,229,224,215,209,211,211,208,208,208,204,203,202,201,199,197,196,193
15,168,159,142,141,111,109,141,46,43,75,78,81,84,88,91,104,118,131,140,144,149,156,161,165,169,172,175,178,174,160,144,145,107,121,141,38,49,77,79,81,85,89,94,107,121,134,143,146,151,159,164,168,172,175,178,181,180,159,147,149,102,134,136,31,57,79,80,82,86,89,95,110,124,136,145,149,154,161,167,171,175,178,181,184,184,161,152,152,98,146,127,27,63,80,81,83,86,90,97,113,127,138,147,151,157,164,170,174,177,181,184,186,185,162,156,153,99,157,116,27,69,81,81,84,88,90,98,114,129,142,149,153,159,167,173,177,180,184,187,189,184,162,159,149,102,164,103,28,74,80,82,85,87,89,100,117,132,145,152,155,161,170,176,181,184,187,191,193,185,163,162,144,108,167,93,40,84,87,92,99,105,103,101,118,133,146,155,158,165,174,181,185,188,191,195,197,183,166,169,144,127,145,123,112,113,113,121,123,118,110,104,107,114,124,137,147,154,156,161,179,193,196,199,202,179,170,163,131,125,126,120,115,105,108,108,104,102,104,113,112,110,111,113,119,129,125,116,117,143,187,204,206,178,167,146,118,115,111,107,103,100,104,104,103,103,111,120,120,114,110,108,115,128,127,119,105,91,108,163,204,177,169,165,115,122,114,88,91,95,101,103,103,105,115,120,118,114,108,110,122,122,121,119,111,100,90,90,122,175,171,172,109,159,148,40,70,87,86,88,90,95,105,119,126,124,113,117,121,122,120,120,111,105,105,97,85,175,177,172,107,171,139,28,70,85,83,85,87,89,95,114,145,167,142,127,122,119,118,116,115,106,116,112,96,176,179,169,109,179,127,27,75,85,83,84,88,90,96,119,170,166,144,118,116,109,99,105,116,108,127,124,107,180,179,165,114,183,113,27,79,85,83,85,88,91,96,145,175,145,126,84,81,83,66,89,129,122,136,127,111,184,182,157,120,185,98,31,82,84,83,85,88,90,111,176,156,130,110,77,49,46,36,94,154,147,139,116,107,187,184,150,130,187,84,35,85,85,84,85,88,89,156,190,145,119,95,63,42,36,33,114,164,163,143,111,100,188,186,141,139,187,71,40,88,85,84,85,88,90,165,187,155,119,87,46,36,36,46,128,168,175,152,114,97,192,191,134,151,184,59,46,89,85,84,86,88,88,132,191,177,138,95,46,34,61,69,115,165,174,148,114,98,195,195,128,164,184,50,53,90,85,83,85,88,90,106,181,197,163,109,59,37,70,99,126,161,151,127,110,91,196,196,123,176,180,42,59,90,84,82,83,86,89,102,154,209,180,136,104,88,99,141,149,138,116,102,102,87,198,195,119,187,171,34,63,89,83,81,81,84,87,103,132,198,196,178,165,159,164,154,121,102,93,89,91,87,200,192,120,195,159,30,69,86,81,80,80,83,86,103,132,189,177,150,143,153,165,144,100,84,85,81,89,94,200,186,122,202,145,27,74,85,79,77,78,82,86,103,164,184,146,135,134,146,164,142,95,80,86,111,84,76,200,179,129,207,130,25,76,82,77,75,76,81,85,103,177,167,138,128,127,133,149,139,100,85,167,195,86,65,201,171,136,207,124,48,89,90,82,79,79,80,85,103,155,154,137,132,123,113,123,127,99,92,203,210,93,69,202,164,145,203,164,128,128,130,126,122,119,119,122,125,134,142,148,167,168,118,94,145,117,117,192,195,97,75,203,156,154,202,172,118,114,118,118,118,118,122,123,122,118,120,124,132,180,157,102,124,124,122,136,133,91,79
17,94,97,99,104,105,106,107,108,111,113,114,115,116,120,118,120,121,121,121,122,122,123,122,120,121,121,121,120,97,99,102,106,107,110,111,113,113,113,114,116,118,118,121,121,122,122,122,124,124,124,123,122,122,121,120,119,100,105,106,109,111,112,115,116,116,116,118,117,138,97,97,129,123,124,124,125,125,126,125,124,123,123,122,122,105,108,110,114,116,116,118,119,120,121,119,130,131,62,65,134,125,128,127,128,127,127,128,126,125,125,124,123,110,113,116,119,121,121,121,123,124,125,124,134,147,58,62,140,127,131,130,130,131,130,131,130,129,129,129,127,114,119,121,123,126,126,127,128,129,130,127,141,166,92,50,133,132,133,134,133,134,134,134,134,132,130,131,131,119,123,126,128,131,131,131,132,134,136,132,151,170,111,33,107,144,136,138,138,138,138,138,139,137,133,132,132,124,128,130,132,135,136,136,137,140,141,135,160,161,128,57,77,151,139,141,141,142,142,142,142,140,138,136,137,129,132,135,138,139,140,141,142,144,145,137,173,138,148,82,53,147,146,146,147,146,146,146,144,143,142,141,141,133,137,140,142,144,144,146,147,147,148,148,177,117,161,96,45,140,153,149,152,151,150,149,149,147,146,145,144,136,139,143,147,148,149,150,150,150,148,144,181,130,176,132,53,125,161,153,154,155,155,154,152,151,150,148,147,140,143,146,150,150,151,153,154,157,161,128,98,101,166,147,65,107,166,155,158,158,157,157,154,154,153,152,151,144,147,150,152,153,154,156,154,171,183,146,87,40,117,144,71,90,170,157,162,162,162,160,158,156,156,155,154,146,149,152,154,156,157,159,159,166,136,133,132,102,81,92,66,73,172,161,163,165,164,163,163,160,160,157,156,148,152,155,157,160,160,161,164,170,108,115,149,162,127,48,38,61,170,165,167,167,167,167,166,164,162,160,161,151,156,158,162,162,162,161,168,193,175,106,119,146,108,37,24,40,157,172,170,170,170,169,168,168,165,163,163,154,158,161,164,164,164,171,158,110,192,130,53,125,115,50,25,20,132,180,170,172,172,172,171,170,169,168,165,155,160,164,165,166,167,180,142,66,107,140,19,75,153,68,26,10,118,186,173,175,174,174,173,172,172,171,169,158,163,165,167,168,172,184,156,99,53,121,61,65,176,92,39,6,113,190,173,177,177,176,174,173,173,172,171,161,164,168,170,170,175,172,107,64,32,97,91,99,186,116,63,9,116,192,176,178,179,178,177,175,175,173,173,163,165,169,172,172,179,164,125,80,72,69,113,157,167,121,79,17,129,191,177,180,180,179,179,180,179,176,174,165,168,171,175,173,185,180,117,101,93,98,198,176,133,100,72,23,156,189,181,183,181,180,179,179,179,179,177,166,170,173,176,177,201,163,133,123,76,135,196,139,118,90,50,34,175,186,184,184,184,184,182,180,180,179,178,169,171,174,176,180,203,178,159,96,91,151,174,122,116,90,36,42,187,187,187,187,186,185,185,183,183,180,179,170,173,176,177,181,198,196,128,122,90,183,173,121,111,76,27,59,195,187,188,189,187,187,186,186,186,182,181,171,174,177,180,180,181,180,137,128,106,201,167,117,94,61,20,78,199,187,190,189,189,188,187,186,186,184,182,171,175,177,180,179,171,168,153,116,113,195,149,97,67,46,13,114,202,189,193,191,190,189,188,187,187,186,186,172,177,179,180,184,170,147,151,118,116,175,130,82,50,33,25,167,197,191,193,192,191,192,191,189,188,188,187
18,70,73,76,79,84,90,94,101,107,114,121,125,129,132,134,136,139,143,144,147,149,152,154,156,158,159,160,162,70,73,77,81,86,91,94,100,108,115,121,126,131,132,134,137,141,144,145,148,150,152,154,156,158,159,161,163,71,73,78,81,85,92,95,101,109,116,121,128,132,133,135,137,142,145,147,150,152,154,156,157,159,160,163,164,72,75,78,81,86,92,96,102,111,117,123,128,133,135,136,138,141,145,148,152,154,156,158,160,159,160,164,166,72,74,78,83,88,93,96,103,111,119,125,129,133,136,138,139,149,145,134,146,157,154,151,161,164,163,164,166,72,74,78,82,89,94,97,104,111,120,127,128,137,141,131,143,181,136,108,100,159,162,125,114,161,166,166,167,73,75,79,81,88,94,98,107,113,122,126,127,186,148,109,148,169,141,134,138,182,161,121,88,101,165,167,168,73,76,79,82,89,95,99,107,111,124,123,156,206,153,118,163,165,146,153,160,160,135,127,113,76,133,173,170,74,77,79,82,90,97,100,104,129,171,126,130,192,154,142,137,149,137,142,145,128,120,134,126,100,96,175,172,75,78,80,84,90,95,100,100,189,189,146,110,156,173,145,115,114,127,112,114,93,136,142,135,121,84,136,180,76,78,81,84,91,96,97,116,209,192,168,137,116,182,147,116,94,156,107,72,81,159,151,150,139,107,84,157,76,78,81,84,91,96,93,143,177,184,183,155,99,138,156,119,78,145,136,90,49,134,152,165,152,119,91,91,76,79,81,86,92,97,93,155,145,143,169,134,91,89,133,103,70,97,107,75,64,135,172,181,157,125,102,81,77,78,80,87,92,97,91,177,170,134,147,92,78,61,90,83,55,56,59,99,175,182,167,165,148,124,107,92,76,79,81,85,92,95,94,191,176,147,150,82,72,49,75,78,43,30,108,191,192,175,165,145,127,113,104,86,76,79,82,85,93,95,111,204,174,143,132,90,69,41,72,70,43,93,194,205,195,174,153,131,107,98,92,92,77,78,80,85,92,94,107,221,193,167,151,123,93,79,79,77,105,184,208,205,191,161,142,120,98,89,82,128,77,79,82,87,92,95,105,220,204,183,166,140,121,124,116,125,179,206,207,198,175,148,129,111,93,84,83,165,76,79,82,87,92,97,103,219,212,191,167,145,134,138,138,162,197,201,197,182,158,137,118,103,91,79,108,184,76,79,82,87,93,98,101,214,211,191,169,155,150,146,153,179,194,198,183,162,148,128,110,101,92,75,146,184,77,80,82,87,93,98,99,196,211,196,178,167,162,159,166,180,184,185,163,143,133,117,102,94,86,91,178,183,77,80,82,89,95,99,100,168,212,201,195,181,166,159,164,167,167,163,148,131,120,106,95,91,78,136,185,181,78,80,83,91,96,99,103,138,210,205,207,191,172,155,144,145,147,144,139,120,107,98,91,83,87,174,182,182,77,80,84,91,94,99,108,113,196,203,198,190,171,150,136,130,136,134,131,115,99,95,91,71,128,184,181,183,77,79,84,90,95,99,111,112,158,199,177,172,162,145,131,128,131,135,133,118,102,95,85,74,165,182,182,185,77,80,84,90,95,98,109,117,127,188,174,156,145,129,128,133,120,125,129,116,100,92,76,94,180,180,182,185,76,80,85,90,94,100,111,121,121,167,159,142,143,134,145,147,121,117,127,117,99,91,70,112,186,180,182,184,75,79,84,89,93,100,110,119,123,151,168,151,155,144,141,144,124,108,120,116,99,86,67,104,186,182,183,184
12,184,187,190,192,195,197,199,201,204,206,207,210,213,215,214,213,216,217,218,219,218,219,217,218,218,220,221,220,185,188,192,194,196,199,201,203,205,207,210,212,214,217,219,220,217,217,213,211,222,220,220,221,220,221,221,221,187,191,193,196,198,200,203,204,206,208,213,214,214,201,180,202,224,223,200,162,176,230,224,226,227,222,224,221,188,192,194,197,199,202,204,206,209,211,211,218,234,206,181,155,227,233,205,178,129,216,203,195,207,228,224,225,190,193,196,199,199,202,205,207,210,213,211,228,250,224,207,152,197,242,199,190,147,141,181,176,145,201,232,224,191,193,197,199,201,204,207,210,211,214,212,233,252,234,206,159,193,248,201,191,142,119,196,179,144,130,233,225,192,195,198,201,203,205,208,211,212,214,215,232,252,248,214,176,192,253,209,188,127,136,209,174,133,107,215,232,193,197,200,202,204,207,209,212,216,216,216,220,210,243,226,185,179,245,201,170,111,149,212,170,130,104,203,237,195,198,200,202,205,208,211,212,215,216,229,201,151,180,222,166,163,221,177,160,115,139,200,168,134,103,199,240,195,198,202,204,206,209,212,214,214,236,234,181,157,133,189,154,147,206,171,161,118,135,190,167,138,100,199,242,197,199,202,205,207,210,213,211,231,234,220,192,173,132,149,156,126,195,170,144,116,136,194,172,138,101,214,237,197,201,203,205,207,210,213,215,232,198,216,208,173,141,114,151,142,176,194,156,123,161,233,195,144,112,235,232,197,201,205,206,209,212,213,222,234,194,199,202,168,146,103,150,160,172,215,172,127,179,239,203,125,105,228,236,198,203,205,207,210,213,213,225,228,203,175,192,174,145,97,115,148,120,170,167,104,155,192,138,120,119,152,242,200,203,205,207,211,214,213,229,228,202,169,195,170,133,112,78,88,67,145,198,183,203,190,161,148,136,124,228,201,204,206,209,212,215,214,232,232,203,173,181,164,128,119,82,89,124,213,229,224,212,197,169,147,129,134,233,202,205,208,210,213,215,215,233,231,202,171,160,163,138,130,90,111,185,230,227,222,203,187,160,140,120,147,244,203,205,208,211,214,217,217,234,231,210,190,162,146,154,131,110,160,227,231,238,219,194,177,156,136,116,162,249,203,206,208,211,214,217,217,234,229,216,201,187,162,147,150,170,202,241,238,243,210,185,170,147,131,117,205,245,203,206,209,213,216,217,217,232,234,221,205,197,191,172,175,190,202,241,240,233,197,174,162,144,122,144,242,238,203,206,209,212,214,218,219,227,232,225,210,203,202,188,174,182,198,245,237,216,190,168,154,138,114,179,248,237,203,205,208,210,213,218,220,224,225,223,216,208,203,192,178,172,205,245,230,202,183,161,143,133,114,209,246,238,203,205,208,211,215,218,220,221,218,221,217,209,205,193,176,165,203,230,217,185,169,151,135,125,129,236,241,239,203,205,209,212,215,218,220,221,222,223,220,211,204,192,179,161,197,215,198,171,157,140,132,114,174,246,238,240,204,206,209,213,216,218,220,222,223,226,216,206,200,184,170,155,191,196,173,161,144,131,125,126,227,242,239,240,203,206,209,211,216,219,220,222,220,224,206,190,184,168,150,156,184,183,161,154,137,131,119,183,246,238,239,240,203,206,210,212,215,219,220,220,219,228,200,185,176,153,151,158,180,177,160,148,136,124,135,234,240,239,240,240,204,207,210,214,217,218,223,216,225,232,202,194,178,161,164,167,185,172,158,138,129,115,185,244,239,240,241,241
6,141,142,142,143,145,145,146,147,147,147,147,146,146,147,146,145,146,146,147,147,147,146,145,145,143,142,143,144,147,147,147,148,149,148,148,148,148,149,149,149,148,149,149,149,150,150,148,149,149,148,147,147,146,145,146,145,150,150,150,150,150,151,151,151,151,153,153,153,152,152,152,153,153,152,152,151,152,152,150,148,150,149,149,142,152,152,153,154,153,154,154,153,154,156,155,154,154,155,155,156,156,154,154,154,153,154,152,152,154,152,154,130,155,155,155,155,156,156,156,156,158,158,157,157,162,158,156,157,157,157,159,158,157,155,159,156,155,154,155,147,158,157,159,159,159,160,160,160,160,161,163,149,136,162,161,162,159,159,155,157,149,158,194,154,151,158,156,153,161,161,162,162,161,163,164,164,164,161,177,136,71,142,154,151,160,160,147,153,154,143,163,127,153,161,158,158,162,163,165,165,164,166,167,168,167,169,181,137,140,158,151,145,159,155,145,129,120,103,101,139,163,161,161,160,165,166,168,168,169,169,171,171,167,167,170,175,180,166,143,135,111,101,90,86,98,129,161,168,164,164,163,161,168,169,170,170,170,171,166,161,163,167,173,171,152,131,111,88,87,104,127,156,170,174,171,166,166,165,164,163,170,171,172,172,173,172,158,155,155,157,144,114,88,74,86,140,168,173,177,173,171,171,171,169,168,167,167,165,173,173,173,172,180,180,175,174,138,107,108,96,75,87,152,178,181,178,173,175,174,173,174,172,170,170,169,168,175,175,175,174,186,187,196,163,107,98,99,113,121,120,110,110,130,159,181,176,176,175,176,175,173,172,171,170,177,177,176,180,192,192,200,149,119,132,107,101,115,124,113,109,104,82,158,184,177,177,178,177,176,174,173,173,177,178,178,188,200,197,197,188,190,172,118,91,103,111,101,95,100,68,140,191,180,180,179,178,176,176,175,174,180,180,181,195,202,197,197,199,202,179,124,87,101,110,112,102,92,74,135,192,180,181,181,182,179,178,178,177,182,182,184,193,198,198,197,196,192,185,161,128,97,83,104,109,105,87,82,187,183,182,182,182,182,181,181,180,183,183,182,198,195,200,196,196,195,197,199,167,108,79,97,104,98,79,96,192,184,184,183,183,184,183,182,182,184,182,183,198,201,202,200,200,196,196,200,161,111,92,93,96,92,77,87,179,189,186,185,185,185,184,183,183,187,181,191,199,201,204,207,199,193,197,184,139,105,98,94,94,90,88,60,153,197,187,186,185,186,184,184,185,189,173,191,200,201,205,202,190,189,183,156,125,108,100,83,90,91,82,91,184,192,189,189,188,187,187,186,186,185,172,193,200,201,203,188,182,182,163,138,117,120,125,84,68,69,76,173,195,189,190,190,189,189,189,186,186,176,180,200,196,195,189,176,174,174,158,137,130,126,130,64,43,73,162,200,191,192,191,191,189,190,189,188,188,170,186,198,193,188,181,172,169,165,156,147,136,112,87,120,150,188,200,195,194,192,192,192,190,191,191,190,189,169,190,195,183,179,171,175,175,159,147,142,118,79,117,211,201,198,196,197,195,195,194,194,193,193,191,191,190,176,189,188,180,176,163,169,168,151,141,125,99,73,179,201,196,196,195,196,196,196,196,195,194,194,193,192,190,180,185,178,176,169,156,158,152,141,126,105,77,125,207,197,199,198,198,197,198,196,196,197,196,195,195,193,192,180,182,183,177,163,155,149,142,122,102,82,85,190,201,197,199,199,198,198,198,198,197,197,197,196,196,195,194
5,163,167,169,173,175,178,181,182,183,183,184,186,186,185,186,186,186,186,186,187,187,185,185,185,186,187,187,187,165,169,172,175,178,181,182,184,186,186,187,188,187,187,189,189,189,189,189,190,189,189,189,189,189,189,189,189,167,169,173,176,181,183,185,187,188,188,189,190,190,191,184,182,193,191,191,191,191,193,194,193,191,190,190,190,169,172,176,179,182,185,187,188,189,190,191,193,189,202,172,122,198,194,194,194,195,194,195,196,193,193,193,191,171,175,178,180,184,187,188,193,193,193,194,191,203,206,146,141,199,195,196,196,196,198,198,198,197,196,194,193,173,176,180,183,187,189,194,168,183,197,194,199,227,148,125,197,198,196,196,195,197,194,195,200,200,198,197,195,175,177,181,184,189,187,210,132,148,204,190,227,203,106,181,204,197,196,206,207,203,145,146,210,200,201,200,198,175,179,183,185,187,196,206,107,169,203,199,217,144,135,209,197,199,217,217,176,156,126,174,206,201,203,203,200,176,181,185,188,187,214,165,114,203,200,197,164,110,183,205,195,212,211,149,117,172,194,207,202,204,204,204,203,177,181,186,188,187,220,150,136,208,198,175,132,117,209,190,193,185,126,128,193,211,207,204,206,204,204,205,204,179,182,186,189,189,222,152,140,211,192,169,142,124,209,176,188,118,116,204,209,204,205,205,208,207,206,206,205,180,182,185,189,192,217,157,133,210,191,173,132,137,183,168,170,101,174,213,205,208,206,208,207,207,208,207,206,180,184,188,191,193,205,198,138,181,196,175,106,133,144,163,143,124,204,209,209,209,208,204,210,211,209,209,208,180,185,189,193,195,194,213,180,134,182,152,134,104,117,146,124,158,216,206,202,209,217,191,149,212,210,209,208,180,183,187,189,196,189,202,217,159,137,130,121,109,113,113,124,183,209,201,210,222,196,204,149,175,221,209,210,180,184,187,190,195,194,196,228,199,145,108,98,100,102,103,135,161,194,210,192,162,136,169,188,144,188,214,209,181,185,188,190,194,197,196,221,210,152,102,97,97,95,103,134,147,156,171,122,127,187,190,184,131,160,215,207,182,186,190,191,193,197,196,213,217,152,98,92,94,91,101,118,127,109,122,158,205,197,196,146,140,215,210,210,183,186,189,191,195,197,196,210,221,160,99,88,93,93,96,108,103,117,196,217,202,193,164,112,205,216,211,211,186,190,192,196,197,198,198,206,222,169,106,87,91,96,92,98,78,151,226,207,194,181,111,136,221,208,211,211,162,170,177,181,184,190,190,199,221,177,115,87,90,91,96,115,123,132,185,197,197,150,105,198,223,216,216,217,97,98,102,103,106,115,104,169,231,185,127,89,92,91,95,119,146,159,134,184,197,132,121,183,182,187,189,191,103,101,100,100,99,103,87,169,229,191,140,94,88,96,108,131,152,165,148,171,172,110,98,99,102,103,106,105,102,102,102,110,109,110,97,175,224,196,147,100,90,96,131,155,170,160,129,130,129,107,113,110,114,112,107,105,100,100,101,104,105,110,97,164,221,199,153,113,103,91,142,163,165,141,110,96,102,115,120,114,112,107,134,176,101,101,102,103,103,107,95,163,213,194,156,126,111,88,134,160,153,119,96,99,109,112,111,100,130,182,212,203,101,103,103,104,103,105,96,183,217,190,162,133,110,89,113,137,126,103,96,109,115,110,105,165,225,218,198,182,100,100,102,103,103,104,99,199,216,186,156,120,99,87,98,109,102,96,107,111,115,111,185,236,212,196,186,164
19,151,153,154,156,158,159,159,159,159,159,159,160,159,159,159,158,158,156,156,155,155,154,153,152,151,150,150,150,153,152,154,156,158,159,160,160,160,159,160,161,159,160,160,159,158,158,157,157,156,153,153,154,152,151,152,150,153,154,155,156,158,160,162,161,162,161,161,160,160,160,162,160,159,158,158,159,157,155,156,156,154,153,153,152,153,155,157,159,159,160,162,161,162,163,163,162,160,162,162,161,160,160,159,159,159,157,157,155,155,154,153,152,154,157,157,159,161,161,162,164,165,162,161,164,166,161,162,162,161,161,159,159,160,160,159,157,155,154,153,153,155,160,159,161,164,165,165,164,166,170,148,123,148,169,163,165,163,162,161,160,161,160,160,159,156,156,155,154,158,160,162,163,164,165,165,166,166,201,177,138,88,148,171,164,165,163,162,162,161,161,161,159,157,157,155,154,158,159,161,163,164,165,167,170,161,190,205,166,105,73,167,166,166,164,163,164,163,161,162,160,158,158,157,156,161,162,162,166,167,168,169,169,167,174,204,172,120,48,121,178,164,167,164,163,163,161,160,160,159,158,158,157,162,163,164,168,168,169,171,172,165,173,195,161,111,51,86,181,165,167,165,163,164,162,161,160,159,160,159,158,161,164,167,169,168,171,174,171,182,215,186,152,134,84,96,168,166,172,171,167,165,163,164,163,161,160,159,159,163,165,169,170,173,173,172,171,221,206,169,146,158,172,165,151,141,144,151,163,170,167,167,162,163,162,159,160,165,168,169,172,173,175,167,203,216,176,123,96,122,170,190,189,175,160,131,134,138,155,163,167,163,161,160,160,167,172,170,171,173,171,185,231,209,185,149,93,71,113,158,177,185,185,170,156,145,151,137,139,154,166,165,160,170,172,171,174,177,171,214,220,193,173,152,146,120,109,117,127,135,151,166,178,185,189,169,130,122,118,152,166,169,171,171,175,174,185,219,203,161,133,132,123,155,160,139,125,107,88,100,121,135,163,177,167,147,107,102,141,168,171,174,177,175,212,238,212,161,129,120,111,119,162,170,160,137,97,71,124,146,137,137,138,137,137,131,142,171,174,174,173,189,231,233,201,165,146,148,150,143,124,134,154,151,122,101,94,170,177,165,152,138,132,128,131,172,173,176,174,208,230,217,183,155,154,169,167,166,142,68,113,116,122,125,91,148,181,173,175,174,167,158,153,172,175,173,194,224,226,211,167,133,108,147,184,185,180,92,114,87,87,90,110,174,176,175,174,173,173,172,171,173,172,179,220,220,235,211,163,130,111,96,137,152,168,160,132,104,97,86,168,178,175,175,175,172,171,170,169,173,170,196,223,229,238,198,155,141,139,139,126,96,126,177,148,123,92,152,185,175,176,176,176,171,170,169,166,175,176,216,224,233,218,195,163,152,147,145,134,122,114,113,113,104,133,182,178,178,177,176,173,173,173,170,169,170,191,226,224,222,211,191,173,156,157,153,135,113,105,109,79,145,185,179,178,179,178,177,175,174,172,171,170,169,206,225,221,221,205,178,160,136,137,146,135,123,116,101,132,193,181,180,178,180,180,178,178,175,173,174,172,175,216,220,215,211,196,178,139,102,85,93,110,108,113,135,178,186,184,183,180,179,179,179,179,177,174,174,173,191,217,206,197,194,172,139,105,84,56,127,177,161,172,188,185,185,184,184,183,181,178,177,177,176,174,172,171,213,212,187,180,165,135,105,90,83,67,176,196,191,189,186,185,186,185,184,182,180,178,178,178,174,173,173,171
5,150,152,156,157,158,159,160,160,161,163,163,162,163,164,164,163,166,165,163,164,162,162,161,160,159,158,159,157,153,157,159,160,160,162,164,164,164,165,167,167,167,169,168,167,140,163,166,166,166,165,165,163,162,161,161,159,157,160,163,164,164,167,167,168,168,169,171,170,169,170,171,182,118,143,174,170,170,169,168,166,166,165,164,163,162,164,167,168,168,170,171,172,172,173,173,173,173,141,155,190,125,122,179,174,173,172,171,171,170,169,167,166,165,167,171,172,173,174,175,175,175,177,177,176,185,140,125,194,126,107,184,177,177,175,175,173,172,172,171,170,169,171,175,176,176,178,179,179,180,180,181,180,192,150,113,190,125,110,187,181,180,179,178,177,175,175,174,173,171,173,177,179,179,182,182,182,177,180,185,184,195,155,104,187,136,116,189,185,184,183,183,181,179,178,178,176,175,176,179,182,182,185,185,188,156,145,190,186,197,165,106,184,127,121,192,187,187,186,187,186,181,181,180,179,177,179,182,185,186,187,186,190,165,115,190,188,201,167,95,178,120,124,195,190,189,185,155,171,188,183,182,181,179,182,186,188,188,188,189,194,184,98,185,192,199,165,87,177,140,125,198,188,191,189,152,127,187,188,186,184,180,184,187,189,189,190,192,194,183,100,183,195,195,179,97,154,152,128,198,185,175,156,178,157,155,188,188,187,184,186,190,192,192,193,194,195,197,114,165,198,191,186,104,119,154,136,196,187,165,79,151,171,127,178,193,190,186,189,193,193,195,195,195,197,203,145,138,199,191,191,108,111,152,134,186,182,153,120,180,157,130,195,193,192,186,190,194,195,196,196,198,197,193,193,158,168,188,178,127,135,138,120,158,167,133,172,193,125,165,198,194,194,189,192,195,198,199,199,199,201,189,202,187,156,157,155,132,132,130,122,159,166,136,190,178,99,183,198,196,195,192,195,196,199,200,201,201,202,198,199,210,176,149,147,122,128,124,125,153,164,149,203,157,86,194,199,198,197,193,196,198,199,201,203,203,203,203,201,224,197,140,132,114,110,118,129,149,160,151,205,154,102,205,201,200,199,194,198,200,201,202,203,204,205,206,204,227,205,144,107,106,101,115,142,159,150,141,200,156,117,208,202,201,201,197,200,201,202,203,203,206,207,207,205,222,203,150,108,105,103,130,154,175,184,154,188,154,123,210,204,202,201,197,200,201,202,204,207,208,208,209,204,219,198,151,110,100,111,145,162,192,201,168,164,131,117,210,206,204,202,200,201,202,204,206,208,208,209,210,204,219,198,158,112,100,119,159,186,193,196,178,135,94,104,211,207,206,205,200,201,203,206,207,208,209,209,212,204,216,199,163,114,102,118,167,200,198,186,157,107,65,132,214,207,208,207,200,202,206,208,208,209,210,212,214,207,209,197,162,116,109,112,177,207,195,167,133,84,86,200,213,209,209,207,202,203,207,208,208,209,211,213,215,204,194,194,162,121,117,111,173,195,174,145,110,72,169,219,212,210,209,208,202,203,206,208,209,209,212,212,216,206,187,187,155,133,122,112,159,177,160,131,83,109,217,215,214,213,210,209,201,203,206,207,208,208,210,211,213,208,184,177,149,138,118,108,151,163,146,100,73,189,218,215,214,213,212,211,200,203,206,207,207,208,209,212,214,207,187,180,152,137,119,98,136,134,108,72,156,220,214,214,214,213,212,211,201,203,206,207,208,208,210,213,216,204,193,179,143,129,120,95,117,101,69,125,219,215,215,214,214,213,211,209
1,156,157,160,161,162,164,164,163,164,164,164,164,163,163,164,161,159,163,158,158,157,156,155,153,152,151,149,149,157,159,161,163,164,165,165,165,166,165,166,166,165,166,164,165,156,131,161,161,157,157,156,156,154,152,151,150,158,161,164,166,166,168,168,168,168,167,168,168,167,167,165,177,161,82,141,157,160,158,158,157,156,155,154,151,161,163,164,167,169,170,171,171,171,170,171,170,168,173,153,156,158,95,143,107,150,164,161,159,157,157,155,154,164,166,168,169,170,172,174,173,173,173,173,174,170,184,137,120,145,97,157,101,135,170,163,161,161,159,157,157,165,167,170,172,172,174,175,174,175,175,175,175,175,187,124,123,148,100,152,99,122,175,164,164,163,161,160,158,167,169,170,174,174,175,176,177,177,177,178,175,168,184,109,120,146,99,149,102,115,177,167,167,165,164,163,161,169,171,173,176,177,178,179,179,180,180,181,179,130,173,107,115,143,98,148,112,114,177,170,170,167,167,165,163,171,174,176,178,179,179,180,180,181,180,189,164,109,163,99,130,146,98,141,111,114,178,171,171,170,168,166,166,173,175,177,179,180,181,182,182,182,181,195,144,101,149,96,161,150,102,158,128,110,181,173,173,172,170,169,167,173,176,180,181,181,182,185,186,185,184,196,132,110,162,102,156,132,99,175,134,115,183,175,175,173,172,170,170,174,178,182,184,184,186,186,187,186,192,196,109,117,156,84,131,103,93,172,122,119,185,176,177,175,173,172,171,177,180,182,185,187,188,187,188,186,199,192,117,149,126,95,132,117,135,167,117,121,186,178,179,177,175,174,172,179,181,183,187,188,190,188,189,186,207,177,110,168,157,148,139,130,157,150,113,123,188,178,180,180,178,177,174,180,182,185,187,190,190,191,191,189,208,175,152,132,163,180,179,142,115,122,106,121,190,182,182,181,178,177,175,181,183,187,188,189,191,192,191,196,205,179,153,107,131,141,170,173,149,113,84,119,193,185,184,183,180,179,177,181,186,188,188,189,192,193,191,204,203,156,128,118,123,127,163,181,172,154,102,113,196,184,186,183,182,181,179,183,187,189,190,191,193,195,191,211,205,147,132,139,131,156,177,178,188,162,138,101,176,191,186,185,182,180,180,184,187,190,191,193,195,196,193,214,206,155,139,141,142,179,203,188,177,155,137,93,163,194,186,187,184,182,180,185,188,191,192,194,195,196,193,210,210,171,150,137,153,200,212,188,162,134,117,93,163,195,186,186,186,184,181,185,188,192,194,195,197,196,194,207,220,190,156,144,149,211,220,181,145,120,99,93,162,197,188,187,187,184,182,186,189,192,194,196,198,198,197,203,216,189,160,149,139,210,204,169,135,113,96,100,182,195,191,189,187,186,184,187,189,193,195,196,197,199,199,201,209,185,170,150,147,199,185,156,127,108,94,118,195,192,192,190,188,188,185,187,189,193,195,197,198,199,200,200,203,194,190,160,172,191,167,142,119,104,95,157,199,192,193,191,188,187,186,188,191,193,195,198,199,198,200,199,198,199,190,158,154,168,152,127,110,98,108,189,196,195,193,191,189,188,186,189,191,194,196,197,199,200,201,202,200,192,174,150,138,144,140,123,109,96,128,202,195,195,194,192,189,188,188,189,191,193,196,199,199,200,200,201,201,185,160,148,149,145,142,138,109,93,157,203,196,194,193,192,190,189,189,187,190,192,195,197,197,199,199,198,198,195,174,173,166,148,136,136,102,90,179,199,194,194,193,191,189,188,187
21,172,174,175,176,176,176,177,178,178,178,179,180,177,167,174,178,178,178,177,176,175,175,174,172,156,89,30,15,175,176,177,178,179,179,179,180,180,180,181,184,181,149,164,180,180,180,179,177,176,177,176,173,145,79,34,22,177,179,180,181,182,182,182,182,183,183,183,187,184,139,153,182,183,183,182,172,160,176,179,176,141,69,37,34,180,181,182,183,184,185,185,185,185,186,186,190,187,137,144,183,186,186,187,167,135,170,181,179,149,79,46,48,182,183,184,185,186,187,187,187,188,188,188,192,192,143,139,183,189,189,191,164,127,170,184,182,166,98,51,48,184,185,186,188,188,189,190,190,190,190,190,194,199,153,140,184,191,191,193,161,128,172,186,185,177,123,58,42,186,187,188,190,191,191,192,192,192,192,193,196,204,163,141,182,194,195,197,161,133,175,188,187,185,151,71,38,188,189,191,192,193,193,193,194,194,194,194,197,207,172,144,177,196,198,202,165,137,179,191,190,189,172,98,58,190,191,192,193,194,195,195,195,195,195,196,199,212,184,149,171,197,201,205,166,138,181,193,192,191,183,141,128,191,192,194,195,195,196,196,197,197,197,198,199,212,193,152,168,198,206,207,163,138,184,195,194,192,185,158,170,192,194,195,197,197,198,198,199,199,199,201,194,195,190,151,164,199,210,203,156,142,189,197,196,194,188,171,178,193,194,196,197,198,199,200,200,200,203,211,197,176,170,153,151,192,208,191,148,149,194,198,197,197,194,181,158,194,195,197,198,199,200,200,201,201,205,218,214,187,161,158,128,161,192,177,141,159,198,200,199,199,197,186,154,195,196,197,199,200,200,201,201,202,204,206,214,206,178,167,126,121,150,150,130,168,201,202,200,199,199,193,177,196,197,198,200,201,201,202,202,203,202,190,189,206,184,168,150,125,115,116,114,170,202,202,201,200,200,199,194,196,197,199,200,201,201,203,204,204,204,202,184,187,178,156,166,153,116,95,102,167,204,204,202,201,201,200,198,196,197,198,199,200,201,203,204,207,211,213,180,146,154,144,155,161,128,93,96,165,204,204,203,202,201,200,199,196,197,198,198,200,201,202,205,215,215,200,158,114,119,141,137,155,148,108,97,168,204,204,203,202,201,200,199,196,198,199,199,200,201,203,208,217,198,177,155,116,92,112,115,149,171,131,107,171,204,204,203,202,201,200,199,197,199,200,200,201,202,204,208,214,192,170,161,128,91,87,128,168,189,155,117,155,201,205,204,202,201,200,200,197,199,200,201,201,203,204,207,213,199,177,161,145,110,113,178,193,193,169,129,136,195,206,204,203,201,201,201,192,194,196,197,197,199,201,205,215,210,179,145,147,131,154,208,205,188,162,131,139,196,206,205,204,202,201,201,146,149,152,154,157,160,163,174,209,213,178,141,149,151,190,219,201,179,148,117,139,188,195,196,195,195,196,198,104,105,107,107,107,108,109,126,194,214,179,155,160,166,212,219,196,171,139,108,114,134,139,144,152,165,182,195,102,102,102,102,102,102,102,114,180,211,187,174,175,174,217,217,190,161,128,105,109,118,132,152,171,188,202,212,102,102,102,102,103,103,104,108,157,207,201,193,183,168,203,205,174,144,114,112,156,175,182,193,201,204,208,216,102,102,101,102,103,103,103,105,132,195,207,196,180,159,179,186,152,121,102,121,184,199,190,183,190,198,202,208,102,101,101,102,103,103,103,104,118,182,202,186,166,145,153,164,135,107,97,125,168,186,191,171,169,184,196,204
8,167,174,183,187,190,192,199,206,208,209,210,211,213,215,214,215,216,217,217,217,217,216,216,214,214,213,211,212,169,178,188,194,192,215,204,201,214,214,215,216,217,218,218,218,218,219,218,218,219,218,217,215,215,213,211,212,175,184,194,200,196,247,194,165,226,219,222,222,223,223,223,224,224,224,223,223,221,222,220,220,218,217,214,212,179,189,199,205,204,255,189,144,233,227,229,230,231,231,230,230,229,231,230,227,227,227,225,225,223,221,218,216,184,194,203,210,210,255,188,144,242,235,237,239,238,237,237,240,240,234,235,239,234,232,232,231,230,226,224,220,189,198,208,215,218,255,183,151,247,241,244,244,251,247,246,234,232,255,241,202,237,241,238,238,235,232,230,228,195,205,214,220,223,255,200,150,251,248,250,252,213,231,255,222,150,231,255,174,175,251,244,245,242,238,236,233,200,210,217,225,231,255,210,160,247,252,255,255,215,202,255,242,178,198,242,211,151,221,255,250,249,245,242,240,206,215,225,231,236,255,244,198,233,255,255,255,255,255,224,224,242,255,196,141,148,184,255,254,254,252,249,246,210,220,231,238,238,255,253,234,253,255,255,255,255,236,229,236,250,249,208,144,98,155,255,255,255,255,255,251,213,224,235,243,241,255,255,248,255,255,253,211,255,247,221,235,209,198,226,174,91,170,255,255,255,255,255,255,217,227,237,246,245,255,255,243,255,255,255,203,239,255,175,147,141,211,245,191,119,221,255,255,255,255,255,255,222,233,241,249,249,255,255,203,247,247,219,214,211,255,182,101,92,255,255,216,136,205,255,255,255,255,255,255,227,238,245,252,253,255,255,218,179,238,187,190,202,239,223,155,110,244,255,237,158,134,255,255,255,255,255,255,228,240,248,254,255,255,255,255,166,188,212,183,223,249,235,159,252,255,255,247,175,111,234,255,255,255,255,255,233,242,250,255,255,255,255,255,196,160,224,185,255,255,244,238,255,255,249,208,169,122,233,255,255,255,255,255,236,245,253,255,255,255,255,255,229,169,188,201,255,255,255,255,255,255,233,180,150,134,255,255,255,255,255,255,238,249,255,255,255,255,255,255,253,196,181,205,246,255,255,255,255,246,205,171,117,183,255,255,255,255,219,153,239,250,255,255,255,255,255,255,255,225,199,210,234,255,255,255,255,229,189,150,113,255,255,211,164,107,72,68,241,252,255,255,255,255,255,255,255,240,228,208,228,255,255,255,250,207,174,139,116,143,91,68,72,82,81,78,243,255,255,255,255,255,255,255,255,253,255,214,213,255,255,255,237,192,163,127,90,60,66,71,65,85,88,70,244,255,255,255,255,255,255,255,255,255,255,226,203,251,255,255,224,180,153,119,76,62,61,81,58,66,86,84,245,255,255,255,255,255,255,255,255,255,253,225,178,239,245,252,203,163,141,92,73,63,43,70,75,56,67,80,244,255,255,255,255,255,255,255,255,255,248,215,176,200,237,217,187,152,128,51,52,81,48,51,78,67,52,65,246,255,255,255,255,255,255,255,255,255,250,216,181,177,220,204,172,143,107,37,30,68,73,44,60,73,59,57,247,255,255,255,255,255,255,255,255,255,235,214,180,174,193,191,161,123,87,63,18,46,77,61,43,68,69,55,249,255,255,255,255,255,255,255,255,235,237,221,189,171,175,184,158,93,62,80,27,27,63,74,50,51,67,61,240,250,255,255,255,255,205,255,255,248,255,235,198,166,169,177,147,61,40,81,44,15,48,73,64,50,54,66
23,161,163,164,165,167,167,169,171,171,171,171,173,173,174,174,174,175,175,174,174,174,173,173,173,172,172,173,173,163,164,167,167,169,169,172,173,173,173,173,175,176,178,179,177,175,174,175,175,175,175,175,176,175,176,175,176,164,166,168,169,170,171,173,174,174,175,175,176,179,178,176,177,185,196,201,187,171,172,179,176,176,177,177,178,165,167,169,170,170,172,174,176,176,176,176,178,178,184,191,204,213,212,201,188,179,169,160,126,171,179,178,178,167,168,170,171,171,173,175,177,177,176,179,177,186,226,219,197,193,191,156,131,135,129,113,136,181,179,181,180,167,169,170,172,173,175,175,177,178,178,180,173,199,228,198,167,166,134,126,161,153,148,165,185,180,181,181,181,169,169,172,174,175,175,178,178,180,180,182,174,211,228,192,139,117,144,177,187,187,188,186,182,181,181,182,182,169,171,173,175,176,178,180,179,180,181,182,180,223,221,195,147,152,191,189,202,191,172,185,182,183,183,183,183,171,173,174,175,178,179,180,180,183,185,179,190,228,213,203,131,163,214,219,227,203,135,189,192,186,185,186,186,171,174,175,177,179,178,180,183,185,187,178,202,228,208,204,172,220,228,224,212,177,122,125,149,189,188,187,186,173,175,176,179,179,180,182,184,185,186,180,218,227,207,221,228,226,218,205,193,185,193,135,86,164,193,186,188,174,177,179,180,181,183,185,186,187,184,188,227,225,219,219,220,218,213,212,213,213,210,164,97,131,199,186,190,175,178,180,182,182,184,185,188,186,189,215,224,220,216,212,217,219,219,214,207,192,178,143,100,97,166,194,188,177,179,180,182,183,185,186,188,184,216,227,225,224,219,211,207,210,211,203,193,182,189,160,95,91,125,199,190,179,179,181,183,184,186,187,189,185,221,228,227,227,219,203,202,207,207,203,194,190,193,168,103,84,138,201,191,180,181,182,185,186,187,189,191,188,217,228,227,228,224,215,216,206,200,193,183,180,174,143,105,90,171,200,193,181,182,183,186,187,188,190,192,187,210,228,226,228,224,214,218,188,165,165,159,148,142,137,105,113,197,196,194,181,183,185,187,188,189,191,193,188,206,228,227,228,220,212,206,177,137,112,97,109,143,136,100,146,205,195,195,183,185,187,188,190,191,192,194,190,204,228,227,227,217,210,193,170,147,107,37,93,144,133,100,174,203,198,198,185,186,187,189,192,192,193,195,193,202,228,227,228,219,207,215,204,134,70,69,118,135,113,108,195,199,198,200,185,187,189,191,192,193,194,195,195,201,228,227,228,220,214,216,188,135,76,89,119,107,93,136,208,198,199,200,186,188,190,192,193,194,195,196,196,199,227,227,227,222,219,214,177,144,101,78,91,100,96,152,210,197,200,200,187,189,190,192,195,195,196,197,198,198,225,228,228,223,223,215,179,141,112,74,93,109,98,167,210,200,201,201,187,189,191,193,194,195,197,198,199,198,225,228,227,224,223,213,181,143,121,90,102,113,102,187,206,202,203,204,187,189,192,193,194,196,198,199,200,199,225,228,226,224,222,210,182,147,123,99,110,112,117,206,201,204,204,205,188,190,192,193,195,196,199,200,201,200,225,228,227,222,216,201,175,143,122,106,111,101,148,216,202,204,205,205,190,192,193,194,196,197,200,200,202,200,224,228,227,217,204,189,167,137,123,114,107,106,198,209,204,206,206,206,191,193,193,195,198,200,201,201,204,201,223,228,227,213,193,174,150,133,126,120,99,146,215,203,206,206,207,207
24,117,122,128,132,136,139,143,146,148,151,154,157,159,160,162,164,163,164,165,165,166,166,166,167,167,166,166,165,119,124,130,134,138,141,144,147,151,153,156,158,161,163,164,165,165,166,166,166,168,168,169,170,169,169,168,168,121,127,131,138,140,143,146,148,152,156,159,160,163,165,166,166,167,169,170,169,170,170,172,172,171,170,171,171,122,129,135,126,142,145,148,151,154,157,160,162,164,166,168,169,170,171,172,172,172,172,173,173,172,172,173,173,122,132,140,84,119,151,148,153,156,159,161,164,166,168,171,171,171,172,172,173,174,172,173,174,174,174,174,174,124,132,133,80,78,155,150,155,158,160,164,165,166,169,172,172,172,173,174,176,176,174,175,176,176,176,177,176,126,133,140,97,57,140,155,155,160,163,164,168,172,173,173,177,177,174,177,177,177,177,177,178,178,178,178,177,127,133,143,113,54,114,161,157,160,163,169,167,154,167,179,155,165,180,176,178,180,178,177,178,179,179,177,180,129,136,144,130,77,77,161,156,123,111,157,164,124,90,134,142,100,155,184,178,179,179,179,179,179,171,153,117,130,137,141,149,105,56,127,151,129,116,120,174,144,88,113,156,97,88,188,179,180,180,181,181,173,154,110,90,132,137,141,151,122,83,88,139,168,149,113,162,157,105,132,156,96,68,173,185,183,183,181,176,160,118,92,173,132,138,143,147,145,115,86,77,166,160,111,142,163,105,127,158,98,54,153,191,182,184,177,172,143,80,142,194,133,139,144,148,155,123,97,97,126,171,127,119,168,112,112,164,116,49,140,194,185,173,175,167,109,76,184,186,134,141,146,150,155,139,149,134,107,146,131,82,148,107,89,162,132,53,104,195,161,158,171,138,73,145,192,185,135,142,146,151,152,163,162,108,79,100,122,60,117,106,78,194,162,47,48,114,133,155,144,83,113,196,185,189,134,140,146,151,153,161,150,115,93,91,111,85,105,117,76,111,94,52,94,124,135,131,98,81,183,190,188,189,135,142,145,150,154,156,173,155,112,97,94,107,81,140,102,82,140,150,156,142,111,99,65,139,197,185,189,188,135,142,146,149,153,157,173,165,139,119,98,87,92,132,153,183,180,166,152,132,97,75,85,186,187,187,189,188,135,141,147,150,155,157,172,174,162,133,101,80,117,160,185,177,169,154,139,116,87,68,160,193,187,190,190,190,136,141,146,150,156,157,172,181,172,133,100,97,135,169,181,175,162,141,120,103,67,125,196,187,190,191,191,191,135,141,147,151,155,157,166,176,179,141,123,128,131,169,177,173,154,134,111,84,78,185,189,188,189,191,191,191,131,138,144,149,154,159,162,170,174,149,130,137,116,152,167,160,144,129,100,68,144,201,190,192,191,192,194,193,88,91,92,95,98,104,104,138,169,148,132,129,99,123,147,133,124,108,82,89,166,168,172,175,177,180,185,187,79,79,81,82,81,83,78,94,172,154,124,114,88,115,142,123,103,88,74,84,88,89,93,95,96,100,100,99,83,84,88,89,89,89,92,86,159,144,113,103,98,118,138,115,90,72,73,92,92,92,92,94,89,86,94,108,83,83,85,85,85,87,88,85,163,141,123,119,118,119,126,104,77,64,79,94,94,93,95,98,115,153,162,149,84,85,88,87,87,88,87,91,176,156,143,138,124,111,119,93,71,62,86,95,94,95,89,115,179,171,186,160,85,86,87,87,87,89,87,95,170,156,152,143,111,102,111,83,71,60,86,95,94,94,93,166,199,164,151,185
10,92,99,101,104,108,114,119,122,125,128,131,134,136,138,139,142,143,144,146,145,143,147,147,147,147,146,146,145,95,100,103,106,110,115,121,125,128,131,133,136,139,139,141,145,146,147,146,152,158,133,150,150,150,148,149,148,95,102,105,106,112,117,123,127,129,132,134,138,140,141,145,146,147,148,142,171,175,112,148,152,151,151,150,150,96,102,104,108,114,119,123,127,131,133,136,139,141,143,147,148,149,151,145,177,182,113,143,155,152,153,151,152,98,104,106,109,115,121,126,128,132,134,137,140,143,146,148,150,151,153,148,172,195,124,137,158,153,155,155,154,99,105,107,110,116,122,126,130,133,136,139,142,146,147,149,151,152,154,151,168,210,144,128,162,156,157,157,156,101,106,109,112,119,124,128,132,136,139,141,145,147,148,151,152,153,156,153,167,212,160,118,163,158,159,159,159,102,108,110,114,120,125,129,134,138,141,144,146,148,151,151,153,157,158,155,164,211,169,113,162,160,160,160,160,103,109,110,115,121,127,131,135,140,141,144,149,150,149,162,162,129,160,159,163,210,173,109,158,164,161,161,161,105,111,113,116,123,128,132,136,139,148,147,145,151,153,178,176,103,123,165,166,210,179,110,154,167,164,165,164,106,111,114,117,124,130,133,138,138,174,144,101,101,109,146,177,155,126,148,172,204,175,112,143,170,165,166,165,107,112,114,119,126,131,135,140,142,155,125,90,85,92,90,157,197,158,109,174,186,170,123,130,173,166,167,167,108,113,116,121,127,132,137,141,145,148,139,123,111,106,101,111,178,165,105,134,150,152,127,122,174,169,169,169,109,114,118,122,128,134,139,142,146,150,156,152,177,172,95,81,163,189,141,89,97,118,122,106,169,171,170,170,111,115,119,124,130,135,140,144,148,152,152,160,209,171,77,65,127,206,165,106,77,97,109,94,157,175,171,171,111,116,120,124,130,136,141,146,149,154,150,189,212,163,86,86,81,200,186,138,90,85,108,93,148,178,170,172,112,117,119,125,131,137,142,146,151,155,153,186,207,190,105,59,96,192,200,159,108,79,103,95,152,181,173,174,113,118,120,126,133,138,143,147,152,155,157,163,195,205,135,92,117,192,200,156,111,87,95,91,156,182,175,176,114,118,122,127,134,140,145,148,153,156,159,158,180,183,132,122,129,199,193,168,126,94,93,89,161,182,176,178,116,120,122,129,136,140,145,150,154,157,160,163,162,177,176,143,157,209,190,176,144,106,93,87,166,182,178,179,117,121,124,130,136,141,146,150,155,158,161,166,163,193,212,184,185,212,194,170,147,116,96,85,168,182,179,180,117,120,123,130,136,141,146,150,154,158,161,166,165,185,212,198,199,211,194,169,148,123,102,86,170,183,181,181,116,120,122,129,136,140,145,149,154,157,161,164,165,175,212,209,202,208,193,169,144,129,107,88,170,183,180,180,117,121,123,130,138,142,147,151,155,159,162,165,167,173,210,212,208,209,190,169,150,134,111,84,170,183,182,181,117,121,124,131,138,143,147,152,156,160,163,166,169,169,202,212,211,208,188,176,157,132,108,86,177,184,183,183,118,121,125,132,139,143,148,152,156,161,164,167,170,168,191,212,203,200,184,185,165,129,100,94,185,181,184,185,118,122,125,131,138,143,148,154,158,162,165,168,171,174,186,208,191,189,187,186,175,130,92,95,189,187,184,185,114,119,124,129,136,141,147,154,157,160,164,166,172,144,88,173,188,197,195,185,178,127,92,55,60,154,191,184
7,156,156,156,157,155,156,155,153,153,150,151,150,148,147,146,147,145,144,143,141,140,139,137,136,135,132,132,130,159,158,157,158,156,156,156,155,155,153,152,152,150,149,150,149,148,146,144,143,142,141,140,138,137,135,133,132,161,161,159,159,158,157,157,157,156,156,155,153,153,153,152,149,149,148,146,146,144,142,141,139,140,137,135,134,163,162,161,162,161,160,160,159,158,157,157,156,156,155,153,152,151,149,149,148,146,144,142,141,141,139,137,135,164,164,163,164,163,162,162,161,160,160,158,157,157,157,156,154,153,151,150,149,148,147,146,145,142,141,139,138,166,167,165,165,164,164,163,162,162,161,160,159,158,158,158,155,156,155,152,150,150,149,148,145,142,142,140,139,168,168,166,166,166,165,165,165,163,163,162,160,160,159,159,158,157,156,155,153,151,150,149,148,146,144,142,141,171,170,168,168,169,168,167,165,163,162,167,167,166,162,161,160,158,158,157,155,154,152,150,149,149,146,143,143,171,172,170,169,170,169,166,174,155,125,149,137,150,161,166,166,165,159,156,156,155,154,151,150,150,148,145,144,171,172,172,171,171,169,169,191,164,173,161,91,75,92,116,129,143,161,165,160,157,155,153,152,152,151,148,146,174,173,174,173,173,169,180,183,178,192,159,107,92,76,73,84,85,95,121,149,156,159,158,155,153,150,149,147,175,174,174,174,174,172,184,177,185,182,159,153,156,112,69,68,75,75,73,74,89,103,124,144,158,151,150,149,177,176,175,176,173,178,187,187,190,177,169,175,162,132,98,72,72,73,65,70,71,73,69,104,159,154,152,150,177,178,177,178,175,183,185,190,187,175,173,170,154,147,133,101,68,71,65,65,74,75,72,68,88,114,150,152,178,176,178,176,179,188,192,184,177,172,165,159,160,161,144,113,77,67,73,69,80,74,67,63,60,71,143,155,180,179,180,176,180,189,194,185,175,168,152,155,165,161,142,107,83,74,61,89,158,144,127,117,114,130,155,154,181,180,180,172,184,190,190,176,171,167,156,157,163,146,124,99,81,79,71,83,168,168,167,167,165,162,156,155,181,181,180,171,191,196,187,166,168,169,159,155,146,118,109,97,78,83,89,77,147,169,161,162,161,159,158,156,183,183,174,172,198,192,181,167,166,161,153,147,121,111,111,94,85,81,80,112,166,166,163,163,161,159,157,156,183,186,166,180,197,185,174,175,164,155,149,132,116,118,105,92,66,58,109,163,170,167,166,165,162,160,159,157,184,181,162,190,189,177,172,171,153,150,139,124,125,116,95,88,88,139,173,171,168,168,167,165,161,159,158,157,187,167,168,193,184,174,172,162,153,145,132,128,120,105,84,133,179,177,172,170,170,169,167,165,163,162,159,157,183,157,182,184,180,173,165,161,148,133,131,121,108,87,106,177,177,173,174,173,172,170,168,167,164,162,162,159,171,167,182,177,178,176,155,144,129,125,122,109,92,99,167,181,175,175,174,174,172,170,170,168,166,163,162,159,162,178,177,175,178,162,136,124,116,110,105,91,108,168,182,177,177,176,176,173,172,171,171,168,166,164,162,160,161,178,181,186,157,137,124,110,100,92,83,97,173,184,178,179,178,176,176,173,172,172,171,168,166,164,162,161,167,169,186,173,133,139,117,95,88,83,90,157,187,179,180,179,179,177,176,175,174,172,170,169,168,165,163,161,166,167,173,157,137,145,116,87,79,90,167,187,183,182,181,179,178,178,177,176,174,172,171,169,168,165,164,162
19,169,170,172,172,171,171,171,171,171,170,171,170,170,169,168,169,167,167,166,165,165,164,164,162,162,161,160,158,171,171,172,172,172,172,172,172,171,172,172,170,170,170,169,168,169,168,166,165,165,164,164,162,163,163,160,159,172,172,172,173,175,174,174,176,176,171,172,173,172,170,170,169,170,169,168,166,166,165,165,165,163,161,160,160,172,173,175,175,175,176,168,155,161,178,172,174,173,171,171,170,170,169,169,167,167,166,166,165,163,162,161,160,174,175,175,177,172,190,184,157,123,154,179,173,174,172,173,172,170,170,169,168,168,168,166,165,163,164,163,161,175,175,175,177,174,182,206,180,143,103,167,178,174,173,171,172,171,171,170,169,168,168,167,165,165,165,163,161,177,177,177,178,177,176,203,191,157,98,121,185,174,173,172,173,172,171,170,169,169,168,168,167,166,165,163,162,178,179,178,179,178,173,196,188,149,106,93,176,176,175,174,172,172,172,169,169,169,169,169,168,167,165,164,162,180,179,180,180,177,195,193,171,147,106,88,171,181,179,177,175,174,174,171,170,171,170,169,169,168,167,164,163,179,180,182,176,203,218,191,167,168,158,142,161,164,169,177,178,176,174,173,172,170,170,169,169,168,168,165,165,182,182,178,189,213,182,151,145,163,189,194,181,166,155,147,159,171,176,176,172,171,172,171,170,169,168,165,165,182,182,180,215,208,186,141,107,119,162,190,197,195,188,163,154,147,158,165,173,175,174,172,171,170,168,167,165,184,179,204,220,201,185,168,141,117,127,151,168,180,187,185,184,179,177,155,143,155,168,176,172,169,169,168,166,183,184,213,200,177,166,160,161,166,154,142,138,137,145,160,173,185,195,187,161,144,125,146,171,173,169,168,166,180,201,221,197,161,141,142,132,165,181,169,157,137,110,111,144,148,162,170,171,164,143,133,149,161,171,169,167,185,222,226,196,170,156,153,149,145,162,179,175,158,128,113,148,178,165,157,150,149,152,158,149,135,175,169,169,200,225,212,188,171,170,173,174,169,132,127,158,158,146,135,115,177,184,181,177,168,158,150,146,161,174,170,169,215,219,199,174,153,163,190,184,187,144,110,134,122,136,139,125,178,181,181,181,181,180,175,175,174,171,171,169,215,219,197,161,140,119,154,183,199,171,151,133,123,111,112,163,184,181,181,180,178,177,176,176,173,171,170,169,223,225,187,163,153,149,140,144,133,177,182,145,140,115,157,187,181,182,181,181,179,177,176,175,174,173,171,169,226,212,184,168,162,161,160,149,134,154,162,158,126,141,189,182,182,183,182,181,179,177,177,176,176,174,172,170,217,205,190,175,171,168,159,145,136,134,125,115,150,184,186,184,184,182,182,181,180,179,178,177,175,174,173,171,215,197,182,170,164,170,163,149,135,140,123,145,191,187,186,184,185,183,182,182,180,180,179,178,177,176,173,171,209,196,179,149,132,133,138,139,136,133,142,187,188,187,187,185,183,182,182,181,181,180,178,177,176,175,173,173,197,180,156,125,107,93,137,159,150,168,190,192,192,191,191,189,186,186,187,186,186,182,178,176,178,182,181,174,178,153,126,117,107,99,163,177,173,173,169,169,168,167,166,166,166,166,167,161,156,166,181,188,187,175,170,162,147,129,118,114,110,107,107,105,103,101,101,103,101,100,99,100,100,99,93,112,150,179,182,173,167,173,176,145,126,118,114,111,113,111,108,107,105,103,104,104,102,101,100,101,100,97,142,191,185,174,165,169,155,175,199,152
12,187,189,192,194,196,197,199,201,203,205,205,206,207,207,208,209,209,209,209,209,209,211,211,210,211,212,212,211,188,190,192,195,197,199,201,203,205,206,208,208,209,209,210,210,210,211,212,210,211,213,211,211,212,213,213,214,190,193,195,197,200,202,203,204,207,209,209,210,211,211,210,211,213,213,213,212,213,214,212,212,215,214,214,215,191,195,196,198,201,203,205,207,209,210,210,210,215,217,216,213,215,215,218,219,214,215,216,216,217,217,216,216,193,196,197,200,202,203,206,208,210,212,211,213,209,195,202,217,217,205,183,196,220,215,218,217,217,217,218,218,195,197,199,202,203,205,208,211,211,213,212,226,216,189,159,202,232,211,179,132,213,221,217,225,219,219,219,219,196,198,201,204,206,207,210,212,213,214,213,246,238,214,176,153,236,211,187,148,161,177,172,181,224,220,220,220,197,200,202,204,207,210,211,213,214,215,218,246,249,223,188,147,232,221,189,165,106,160,171,128,183,230,221,223,199,201,203,206,208,210,212,215,217,216,225,236,251,239,204,160,221,232,188,151,106,183,180,125,130,232,221,224,201,203,205,208,209,211,213,215,217,215,226,193,174,229,211,155,200,220,172,134,109,190,181,123,121,227,225,225,202,204,207,209,210,213,215,217,215,234,230,172,131,169,197,140,185,199,167,141,108,180,178,132,119,227,227,227,203,205,207,210,212,215,217,216,233,239,223,179,154,132,181,134,172,198,161,134,110,184,173,134,123,229,226,228,204,206,209,211,213,215,217,224,233,211,227,196,166,120,145,136,156,195,166,127,120,201,189,138,129,236,229,229,205,207,210,212,214,216,216,231,217,180,218,194,160,122,117,160,152,211,191,137,146,246,216,141,161,241,228,229,205,208,210,213,216,217,220,233,223,186,189,192,163,121,102,164,140,189,184,128,124,214,179,110,149,241,229,230,207,208,211,214,216,217,223,229,211,176,174,201,152,125,79,106,90,99,175,138,157,185,140,132,114,185,240,227,208,209,212,215,218,219,226,237,214,183,166,195,141,125,87,78,79,154,219,217,210,200,174,149,122,143,241,229,208,210,213,216,219,219,230,236,212,182,149,179,142,133,86,91,141,218,222,216,200,188,163,139,117,161,242,230,208,210,213,215,219,217,230,235,214,194,161,149,153,146,95,122,206,229,232,220,192,178,157,134,113,192,243,232,209,212,214,216,220,218,231,235,218,203,189,160,142,134,141,180,238,232,241,214,183,170,150,130,116,216,241,234,210,212,215,217,220,221,231,236,226,208,197,192,168,157,180,193,238,239,239,205,173,162,141,120,144,237,236,235,211,213,215,218,220,221,228,235,228,214,203,200,192,168,172,184,240,240,221,196,168,151,137,113,187,245,235,236,211,214,217,219,220,222,225,228,224,218,208,200,191,174,163,191,241,234,205,185,162,143,130,117,220,240,235,237,211,214,219,221,221,224,225,223,222,219,207,201,190,175,159,192,226,221,189,171,153,135,119,139,242,235,236,238,211,214,218,220,222,223,227,225,225,224,208,201,192,177,156,190,212,199,175,159,144,133,111,185,247,236,239,239,212,214,217,219,220,222,224,225,229,220,205,195,186,168,151,187,196,173,162,144,135,123,132,233,239,239,239,239,212,215,216,219,221,223,224,223,230,213,192,185,168,151,155,182,184,162,155,137,131,117,191,242,235,237,238,238,213,215,216,219,222,223,222,222,234,210,194,184,158,153,161,181,178,160,148,135,121,152,240,234,235,237,239,238
24,156,159,159,161,161,162,162,162,163,162,163,163,163,164,163,163,164,163,163,162,161,161,159,162,93,18,8,11,159,161,162,163,163,164,164,164,165,165,166,166,166,167,165,165,166,166,166,165,163,162,164,147,71,26,20,15,162,163,165,165,165,167,167,168,167,168,169,169,168,168,168,167,168,168,168,168,167,165,167,149,55,25,31,41,164,165,167,168,168,169,169,169,170,170,170,170,171,170,170,170,170,170,169,169,169,168,168,162,71,28,47,43,165,167,168,169,169,171,172,172,173,172,172,173,172,172,173,174,174,173,173,172,171,170,167,174,118,29,47,27,167,168,169,171,172,173,174,174,174,174,175,175,175,175,175,176,175,175,175,174,173,173,172,171,158,54,35,21,169,170,171,173,174,175,176,176,175,175,176,176,177,176,177,177,177,177,176,176,175,175,174,171,181,93,27,19,170,172,174,174,173,171,179,177,176,177,177,177,178,179,179,179,180,179,179,179,177,175,176,173,181,139,21,17,172,173,176,176,179,131,164,182,178,180,179,180,180,180,180,180,181,181,181,181,180,178,178,177,178,166,102,101,173,174,176,177,179,123,126,189,178,180,180,181,181,181,182,181,181,182,181,181,181,180,179,179,179,169,121,167,174,175,178,179,182,142,91,178,183,181,182,181,181,182,182,182,183,182,182,185,182,181,181,180,182,166,140,183,175,176,179,180,181,163,98,138,191,179,182,181,183,185,187,184,185,189,186,164,178,184,181,182,181,179,164,135,176,177,180,181,182,179,137,93,179,185,183,183,185,178,167,189,178,157,194,144,118,180,183,182,182,180,163,110,176,179,180,181,181,184,164,109,123,189,185,181,193,180,134,172,176,104,147,173,90,160,191,182,180,173,139,113,177,181,181,182,182,184,177,154,117,147,191,180,204,200,168,134,168,122,129,183,102,160,192,180,189,168,111,86,177,180,181,181,182,184,183,167,138,128,168,186,182,205,193,123,145,151,121,174,120,159,193,182,194,129,91,146,176,179,180,180,181,182,183,179,160,168,156,167,161,180,202,142,111,156,120,181,121,138,169,182,174,88,148,193,176,179,181,182,182,182,184,182,193,182,161,143,134,132,186,162,95,125,134,178,139,87,145,176,127,110,188,178,177,179,181,182,182,183,185,184,194,194,148,132,111,99,145,172,92,115,148,158,166,95,159,147,103,169,185,180,176,179,180,181,181,183,185,186,186,199,197,154,111,116,124,160,116,110,171,113,135,154,156,110,112,189,182,182,183,186,187,187,188,188,189,191,189,198,205,197,155,109,121,148,141,96,171,118,175,170,143,92,149,190,182,182,140,144,146,151,154,158,162,167,167,180,212,204,201,142,110,147,174,145,168,184,187,142,122,111,193,193,187,184,83,82,84,85,85,86,88,88,86,104,208,197,202,176,131,120,176,214,214,206,165,132,108,99,129,129,149,165,90,91,92,91,90,90,91,91,92,82,166,199,202,195,152,127,136,200,205,181,149,122,95,104,128,158,179,191,91,89,89,89,91,92,91,92,93,87,108,199,208,197,162,134,127,177,193,162,144,100,106,196,197,190,191,200,89,88,88,88,90,91,91,92,93,95,82,168,196,169,141,123,127,153,168,146,118,88,140,168,174,188,182,188,89,90,90,89,89,89,90,92,92,94,82,142,193,151,146,136,133,144,153,133,94,102,182,152,143,165,175,175,87,88,88,90,90,90,90,92,92,92,84,127,195,172,169,154,143,146,151,124,80,114,178,166,117,135,161,173
1,124,132,117,100,101,93,106,56,89,117,130,139,178,147,130,165,165,171,172,175,178,181,183,185,186,188,190,191,126,136,115,104,100,99,105,56,96,119,136,143,180,160,118,165,136,162,176,176,180,182,184,188,188,190,191,192,129,137,111,108,97,105,99,58,102,117,169,153,153,179,127,177,134,133,181,177,181,183,186,188,189,190,191,193,132,137,110,111,97,112,91,61,106,119,180,160,141,182,131,178,160,120,178,180,182,184,187,189,190,192,193,194,136,135,108,114,96,117,82,67,112,121,181,167,141,198,154,164,173,119,169,185,183,186,188,190,192,194,196,195,139,135,111,117,98,121,73,74,113,121,181,173,142,206,162,159,193,132,156,189,185,188,190,192,194,197,197,198,142,132,114,120,100,125,68,77,142,143,174,194,146,197,165,163,205,148,139,190,187,190,192,195,197,199,198,199,146,131,118,119,103,126,63,84,177,149,166,196,145,186,170,154,200,160,131,189,189,190,194,197,198,199,200,200,148,129,122,117,108,123,59,93,180,145,162,196,141,184,184,147,197,169,129,188,191,193,196,199,200,201,202,203,148,127,125,115,114,120,58,98,185,148,156,203,141,178,196,145,201,178,131,183,193,195,198,200,201,203,204,203,149,126,129,112,121,111,60,101,191,168,153,207,151,157,197,138,189,182,126,177,198,197,198,201,203,204,204,204,146,127,133,111,129,102,64,103,186,171,138,206,156,130,189,131,172,191,127,169,201,196,199,203,204,205,205,205,145,128,134,108,135,92,68,106,175,177,132,189,166,158,177,170,185,168,123,152,203,197,201,203,205,207,206,206,144,128,134,108,139,83,74,107,172,194,132,171,188,167,151,182,183,134,111,138,204,199,202,204,206,207,208,209,141,131,134,107,142,74,80,109,173,183,153,180,181,179,171,205,196,141,105,119,198,201,204,206,207,207,210,210,140,134,134,108,142,67,86,111,175,188,187,171,170,175,183,196,189,166,122,101,187,205,203,206,207,208,209,211,139,136,131,113,142,60,91,112,188,204,179,159,158,163,169,165,186,190,152,102,170,209,203,206,207,208,210,212,136,142,129,119,139,56,94,114,196,199,167,150,157,166,181,194,198,205,182,124,145,210,204,207,208,210,210,211,135,145,126,126,133,55,99,114,184,198,161,145,165,167,188,217,203,206,193,145,128,207,204,207,208,210,210,210,138,146,122,132,123,55,104,114,167,203,170,153,158,174,192,216,213,196,181,141,126,206,205,208,209,210,211,212,138,147,118,139,115,56,106,118,146,200,177,158,155,179,193,218,214,194,172,128,133,209,204,207,210,211,212,212,139,150,116,145,106,59,107,122,133,188,191,168,153,173,192,214,211,189,167,124,135,210,204,207,209,211,212,212,142,152,115,153,97,62,108,121,128,173,197,176,164,162,187,210,202,181,166,121,135,210,205,208,210,211,212,212,146,154,114,160,89,66,110,120,130,150,190,183,177,164,179,203,194,174,159,117,141,211,205,209,210,211,211,212,150,155,116,164,80,69,108,118,130,138,169,189,181,174,169,185,188,168,154,114,156,209,203,206,207,208,210,210,154,152,118,166,72,73,106,116,127,138,148,184,185,177,162,165,177,156,146,118,179,205,202,205,205,206,209,209,157,147,122,165,63,76,105,114,125,138,140,177,185,170,157,156,157,152,144,118,189,200,200,204,206,207,208,209,159,144,126,160,61,80,101,107,117,131,134,168,180,160,159,164,158,152,137,114,190,197,198,201,203,205,206,205
15,112,123,130,133,137,144,151,157,162,166,170,173,177,181,184,188,190,193,195,196,197,199,199,200,201,202,202,202,114,124,131,135,138,147,154,160,164,169,172,175,179,182,186,189,192,194,196,198,200,200,200,202,202,203,203,202,115,126,133,136,139,147,155,161,166,170,172,176,180,184,187,190,194,196,198,200,200,201,202,203,203,205,204,204,116,126,134,137,141,149,156,161,166,171,174,178,181,184,187,192,195,197,199,201,201,203,203,204,205,207,206,206,117,127,135,137,143,150,158,164,169,173,176,180,183,186,189,193,195,198,200,201,203,204,205,206,207,207,208,208,119,130,136,139,144,152,158,165,171,175,177,181,184,188,192,195,198,200,202,202,204,206,206,207,208,208,208,209,121,131,137,139,146,154,161,166,172,176,178,182,186,190,193,196,199,200,202,204,206,208,207,208,209,208,209,210,123,133,139,141,147,156,161,166,170,173,171,164,158,163,170,176,180,180,173,165,167,185,200,207,209,210,212,211,123,133,139,144,148,154,153,150,150,151,145,138,136,133,135,136,145,153,146,142,128,117,124,139,162,182,199,208,125,135,143,152,148,150,143,127,127,122,113,121,133,135,131,124,139,158,154,151,137,124,118,107,96,96,107,129,127,137,141,128,113,109,96,78,81,80,77,82,95,96,92,90,126,138,139,136,127,125,130,120,105,94,90,96,128,138,141,141,134,120,116,126,144,157,165,162,155,144,131,108,120,122,125,109,115,119,143,130,115,101,94,101,129,137,141,146,153,159,165,171,175,179,184,188,190,195,184,147,136,118,103,92,113,130,156,139,128,113,106,113,129,137,141,146,153,161,167,173,177,181,185,189,192,189,166,160,132,76,76,60,123,161,164,143,139,126,119,119,129,137,140,145,153,161,166,172,176,180,183,187,190,177,163,138,118,51,50,39,142,174,166,141,138,128,119,112,130,137,140,145,153,160,167,172,176,180,185,188,185,176,169,125,77,41,46,30,141,180,162,137,122,113,107,97,131,138,141,146,154,161,168,172,176,180,184,188,187,161,173,146,76,45,52,42,139,169,157,127,103,94,83,80,131,139,143,147,155,162,168,172,177,181,185,189,193,183,171,166,118,69,100,142,152,150,146,111,86,78,70,75,131,139,142,147,155,162,168,173,178,181,186,190,193,197,180,171,153,142,142,138,134,121,102,83,74,67,71,75,131,137,141,147,155,162,169,172,178,182,186,190,193,196,181,158,157,139,108,107,91,76,77,119,122,123,141,164,129,136,138,145,154,160,166,172,178,182,186,189,192,175,141,127,130,114,85,72,59,47,55,168,215,214,216,216,104,109,112,117,121,125,132,136,140,146,151,156,169,157,128,105,88,84,67,51,49,43,60,107,211,209,213,214,91,93,93,95,98,97,96,96,98,98,100,102,122,134,97,72,62,77,89,71,68,90,84,97,128,131,136,140,95,96,98,100,101,102,102,102,105,107,108,108,110,107,83,88,98,106,107,107,106,108,108,107,108,109,108,108,96,97,98,100,101,101,102,103,104,106,106,107,107,106,109,114,113,111,109,110,110,110,110,110,111,111,112,112,97,99,100,101,102,102,103,104,103,104,105,105,107,107,109,111,111,114,111,110,109,109,111,113,112,113,114,115,97,98,101,102,103,104,104,105,105,106,106,107,108,108,108,108,108,111,110,109,109,110,111,112,112,113,114,115,96,97,100,102,103,104,104,105,106,107,106,108,108,109,109,109,108,109,110,111,110,110,111,112,111,111,114,113
4,182,183,183,183,183,184,184,184,184,183,183,184,183,183,183,181,180,177,178,178,177,177,174,174,172,171,171,170,184,185,186,186,186,187,186,186,186,185,185,186,188,185,184,184,184,186,182,180,179,177,177,176,175,174,173,171,189,189,189,189,189,189,189,189,189,189,188,186,184,190,189,180,152,142,180,186,185,184,179,179,179,177,176,175,191,191,190,191,191,190,190,190,190,189,189,173,147,149,188,183,151,106,131,184,146,157,184,181,180,179,178,176,194,193,192,193,194,193,192,192,193,192,196,199,172,139,127,177,170,131,91,146,139,94,145,192,179,181,180,179,194,194,195,196,196,195,194,196,194,188,183,187,195,171,121,121,176,151,93,121,150,99,89,190,183,184,182,181,197,196,196,197,197,198,197,199,189,177,175,129,151,169,107,87,173,150,93,101,152,116,76,184,186,184,183,182,198,198,199,199,199,199,199,199,193,189,180,128,104,148,98,80,152,118,71,122,158,123,90,192,189,187,186,186,199,199,200,199,200,201,200,201,184,141,170,145,98,127,132,79,118,103,58,130,129,84,107,202,188,190,189,187,201,201,202,202,202,202,201,201,199,141,125,172,130,108,161,87,94,123,118,123,87,47,131,205,190,192,191,189,203,202,201,202,203,202,201,204,187,123,96,160,135,152,159,138,141,139,169,137,75,51,172,199,193,194,192,190,203,203,203,204,203,203,202,205,187,160,156,126,75,171,159,148,158,144,155,127,84,76,198,196,195,195,193,191,204,204,204,204,205,205,204,204,199,183,143,104,69,100,134,122,126,122,116,114,104,74,169,206,196,196,195,193,205,205,205,205,206,205,204,202,200,171,128,91,81,79,98,110,110,104,94,127,120,90,93,203,198,197,197,196,206,206,206,206,206,207,205,203,192,152,115,88,85,106,111,142,152,147,126,134,136,126,72,148,211,195,197,196,207,208,208,208,208,208,206,200,193,164,129,96,98,106,132,173,173,188,174,147,176,149,92,89,207,198,199,197,209,209,209,209,209,209,208,197,193,167,131,93,94,115,152,184,185,197,202,181,164,147,89,83,205,200,200,198,209,210,210,209,209,210,209,191,191,178,139,102,101,118,155,193,194,202,192,175,154,119,69,119,215,200,200,199,210,209,210,210,210,211,211,186,191,186,147,117,110,113,165,199,204,203,183,162,142,102,60,173,211,202,202,200,210,210,211,211,211,211,214,186,184,188,157,125,113,119,173,205,204,194,174,152,134,82,83,210,204,203,203,201,211,211,211,212,212,211,215,191,170,177,158,128,114,125,183,202,192,184,163,137,119,65,136,218,202,204,203,202,210,210,211,212,212,211,214,205,167,177,164,132,125,131,188,192,182,171,149,123,96,66,192,213,206,205,203,203,209,210,210,211,211,211,211,214,180,176,170,146,144,127,183,181,178,156,132,111,67,109,219,205,207,205,203,203,210,210,210,211,211,210,210,215,196,171,171,160,144,118,164,171,168,143,113,88,59,185,211,204,204,204,203,202,210,210,211,212,211,212,212,214,204,176,167,153,138,120,143,152,140,114,90,52,127,220,205,207,205,205,204,203,210,211,211,212,211,212,212,215,206,183,171,151,134,122,131,141,118,91,64,70,206,211,209,208,206,205,204,203,210,213,212,212,212,212,213,216,195,185,172,156,142,135,129,135,121,88,51,137,224,207,210,208,205,205,204,205,210,210,211,211,212,211,214,212,180,184,176,167,164,150,136,128,113,79,61,183,217,210,209,208,207,205,205,196
10,42,75,79,83,89,94,103,113,122,126,129,133,138,142,145,147,151,152,153,155,155,155,155,156,157,157,155,154,47,76,80,84,90,95,105,114,123,128,132,136,141,145,147,150,153,163,152,156,158,157,158,158,158,158,157,156,52,78,81,85,91,96,106,117,125,131,135,140,145,148,151,152,162,188,140,145,161,160,161,160,160,159,159,158,58,79,83,87,91,97,108,120,128,133,138,143,147,150,154,155,167,190,148,131,164,163,164,163,163,162,161,160,63,80,84,88,92,98,110,122,131,135,139,145,150,154,157,158,166,194,167,126,164,166,166,166,165,164,164,162,68,81,84,88,93,100,113,124,133,150,146,142,153,158,160,161,165,202,188,129,160,170,169,168,167,167,166,165,73,82,85,89,94,101,114,126,138,187,144,109,141,160,162,163,167,200,191,134,153,173,172,171,170,170,169,167,77,82,86,90,95,103,116,127,138,164,132,101,102,163,147,141,170,198,197,140,142,176,174,173,173,172,171,170,79,82,86,90,96,103,117,129,139,145,137,115,107,159,122,115,170,201,204,145,128,178,177,176,175,174,174,173,81,83,86,91,96,104,118,131,141,145,149,142,137,169,117,83,160,194,177,132,109,175,180,179,178,177,176,175,83,85,87,91,96,105,120,133,143,147,152,161,152,175,128,83,128,171,132,108,94,168,182,181,181,180,178,178,84,85,88,92,96,106,122,135,144,148,153,161,160,176,150,120,96,113,101,100,89,161,186,184,184,182,181,180,86,86,88,92,96,107,122,136,146,150,155,166,174,150,166,159,131,89,78,89,87,142,190,187,186,185,183,182,86,86,87,91,97,108,123,137,147,151,156,183,185,134,135,187,169,134,96,81,80,112,190,189,189,188,186,185,86,87,88,92,97,109,125,138,149,153,165,179,196,156,97,160,194,166,133,80,69,92,187,193,192,190,189,187,87,86,88,92,97,109,126,140,149,164,198,160,178,151,105,153,205,179,146,85,63,90,186,195,194,193,191,190,87,86,88,93,97,110,127,141,150,171,212,162,139,163,138,195,200,172,146,96,67,73,173,199,196,195,194,193,87,87,88,93,97,111,128,142,152,162,198,173,129,189,178,211,203,167,141,102,73,69,169,201,199,198,195,195,87,87,88,92,97,111,129,143,153,157,182,177,137,188,152,194,203,173,132,99,78,74,177,202,200,200,198,196,88,87,89,93,97,112,130,145,154,158,177,195,169,162,112,201,201,164,127,97,82,81,185,204,202,202,201,199,88,87,88,92,97,113,130,145,155,159,166,207,204,163,140,213,195,158,123,93,84,87,191,206,204,202,201,200,88,87,88,92,97,113,130,146,156,160,166,191,225,215,197,211,184,149,117,95,87,95,198,207,205,204,202,201,88,87,87,91,97,113,131,146,156,160,167,181,220,221,198,185,167,140,117,101,88,110,205,207,206,205,204,202,88,86,86,89,96,113,130,145,154,159,166,169,162,208,179,158,162,149,133,115,88,126,207,206,206,206,204,202,86,84,85,88,94,112,130,145,154,158,168,153,68,186,167,170,173,172,159,127,82,124,207,207,207,206,205,203,85,82,83,86,93,111,129,145,155,158,169,140,34,154,196,182,162,164,149,106,60,68,201,209,208,207,206,204,82,80,81,84,91,109,127,144,153,158,168,120,31,100,161,152,133,131,106,59,26,86,208,209,208,207,206,204,86,83,83,84,91,108,126,142,151,157,163,106,37,61,68,60,52,51,38,18,12,123,211,208,207,207,206,204
22,138,142,146,148,150,152,155,158,159,159,162,163,163,163,162,162,164,163,163,162,161,162,161,159,158,157,156,155,142,145,149,151,153,155,157,160,162,161,165,165,165,165,170,158,148,166,164,164,164,164,164,162,160,158,158,157,144,148,151,153,156,157,159,162,164,175,141,161,169,166,190,153,104,170,167,166,167,167,165,164,163,162,161,160,145,150,153,156,159,160,162,164,170,193,109,146,174,170,194,149,108,171,169,169,149,152,168,165,165,164,163,164,147,152,156,159,162,164,165,166,172,188,113,137,177,172,186,141,114,174,171,173,130,115,174,168,167,166,166,165,150,153,158,161,163,165,167,169,171,191,128,126,180,175,179,145,122,178,176,182,123,119,176,171,170,168,168,167,151,155,159,162,165,167,169,172,172,196,148,121,180,177,184,153,125,179,182,183,117,135,177,173,172,170,171,170,154,158,162,165,168,170,172,175,174,199,166,118,176,181,177,149,123,181,192,183,110,156,178,174,174,172,172,172,157,161,165,167,170,172,173,176,176,199,170,109,165,182,176,144,124,184,199,177,106,171,180,177,176,175,174,173,157,162,166,168,171,174,176,178,177,202,193,119,148,186,188,139,127,192,198,154,107,181,181,179,179,178,176,175,159,163,167,170,173,176,178,181,180,194,194,125,141,189,191,129,139,204,203,128,122,187,181,181,180,179,178,176,161,165,169,173,174,176,180,182,201,187,176,144,138,167,181,124,161,211,188,106,154,189,184,183,182,181,180,178,162,166,170,173,176,179,181,188,222,181,189,203,183,137,133,180,187,193,159,100,178,188,187,185,183,183,182,182,163,167,171,176,179,181,182,193,214,172,131,206,205,156,92,146,162,167,127,112,191,188,187,187,185,185,184,183,165,170,174,177,181,183,184,199,202,184,107,115,193,184,132,86,112,124,94,137,194,189,189,188,186,186,185,184,168,172,175,179,183,186,185,211,207,169,121,72,126,204,175,113,82,85,78,165,195,191,189,188,187,187,186,186,169,174,177,180,184,188,187,217,193,151,119,115,121,194,206,154,110,82,77,177,196,193,190,190,189,187,187,187,170,175,179,182,186,188,188,222,205,157,139,149,154,220,205,167,135,84,78,190,196,195,193,192,191,188,188,188,171,177,181,184,187,190,191,225,200,157,143,169,199,232,193,155,125,76,86,198,196,195,195,193,192,191,190,189,172,178,183,186,189,192,194,224,205,173,163,166,221,220,184,136,111,73,116,204,197,198,196,195,195,193,191,189,174,179,184,187,191,194,195,222,211,182,174,167,228,206,168,126,100,70,147,206,199,199,197,197,196,194,193,191,175,180,184,188,192,195,195,218,209,189,183,174,218,188,154,118,92,67,159,206,201,200,200,198,197,195,194,193,176,181,186,189,192,195,196,212,214,198,194,176,208,172,142,112,85,68,173,206,202,202,202,200,199,197,196,196,177,181,186,190,193,197,198,204,213,201,197,174,207,163,135,102,82,76,186,206,202,203,202,201,201,199,198,197,178,183,187,191,195,198,200,202,213,196,182,158,187,154,135,107,79,98,205,206,205,204,203,202,201,201,199,198,179,184,188,193,196,199,201,203,216,188,160,158,187,141,145,112,69,147,212,207,207,206,205,203,202,202,201,199,180,185,190,194,197,200,202,204,228,205,184,179,189,135,150,94,77,196,211,209,207,206,206,206,204,202,202,200,179,184,189,193,197,200,201,204,230,216,201,193,181,134,137,78,110,211,211,209,207,207,207,206,205,203,202,200
16,128,141,149,154,160,168,174,181,185,190,193,198,203,206,210,213,215,216,217,219,220,220,221,222,224,223,224,224,133,146,154,158,164,172,179,186,190,193,196,202,207,210,214,218,219,220,225,226,226,227,226,228,228,227,228,228,136,150,156,161,167,176,183,189,194,197,202,206,211,215,218,222,224,222,217,214,218,227,233,232,230,232,233,232,138,152,158,163,172,179,186,193,196,201,204,208,212,218,223,218,204,193,177,157,150,151,175,223,238,235,236,237,142,156,161,166,173,182,190,198,201,206,211,214,215,210,198,184,178,183,169,147,135,123,102,122,207,240,238,239,145,157,163,169,176,185,193,200,202,206,205,196,188,181,176,179,171,162,154,126,124,127,101,85,113,229,245,243,146,159,164,169,179,188,196,199,216,208,187,160,169,170,181,164,153,157,133,107,107,109,95,94,82,182,252,244,149,161,168,173,183,191,197,215,243,222,225,161,181,202,184,144,154,139,118,102,100,96,92,93,84,156,252,246,152,163,169,175,186,193,201,223,215,221,221,175,218,221,141,137,135,106,104,95,90,89,94,97,84,178,255,250,156,167,172,179,188,195,205,200,207,232,200,191,243,212,143,132,110,94,92,90,89,86,91,96,93,214,255,253,159,170,175,181,189,197,206,204,216,239,215,210,237,189,172,150,115,90,85,89,90,89,91,86,128,245,255,255,160,172,177,182,192,201,208,213,214,234,227,210,231,206,180,143,111,89,82,86,91,92,92,83,169,255,255,255,162,174,177,185,195,205,211,217,210,234,228,224,227,198,153,114,95,79,84,90,94,94,91,89,211,255,255,255,166,174,177,187,197,207,214,221,217,232,236,232,205,166,117,90,65,60,88,99,94,94,89,101,242,255,255,255,168,177,181,189,198,207,215,221,224,232,237,217,174,128,89,41,21,68,94,103,96,94,83,120,255,255,255,255,172,180,183,192,202,211,217,224,227,224,219,183,139,109,40,2,16,70,97,114,109,100,75,143,255,255,255,255,173,181,186,195,205,211,218,225,230,213,191,150,120,81,12,10,16,53,92,116,120,99,70,167,255,255,255,255,173,183,188,195,206,213,220,226,233,217,168,126,102,60,29,17,35,36,80,126,121,95,75,182,255,255,255,255,177,183,188,197,208,215,223,228,236,212,143,92,78,79,75,53,51,60,97,135,110,97,78,194,255,255,255,255,181,185,189,199,209,216,224,229,235,204,119,114,94,67,78,72,71,118,121,140,103,98,80,213,255,255,255,255,181,186,190,201,212,219,224,235,226,172,94,237,244,161,123,95,138,141,135,136,97,96,80,220,255,255,255,255,181,185,191,202,210,219,221,219,200,109,158,255,252,250,222,179,148,143,159,135,90,93,74,210,255,255,255,255,181,185,191,202,212,218,217,207,147,102,243,251,250,235,212,177,140,164,174,139,89,89,74,179,255,255,255,255,181,186,192,202,210,226,233,182,89,200,255,250,249,237,206,179,142,176,183,142,92,85,86,100,148,124,162,213,181,186,194,199,222,255,197,98,159,249,244,251,246,234,201,177,142,172,193,151,83,88,91,71,49,51,129,156,183,186,193,197,247,198,117,174,247,241,247,248,243,230,205,179,142,148,194,169,87,88,88,79,50,92,88,77,182,187,194,203,218,177,209,243,237,243,248,251,239,227,203,177,145,126,178,185,105,85,86,68,13,63,83,71,182,188,196,206,214,230,233,232,239,243,247,251,236,225,205,170,139,126,135,173,128,87,87,54,8,45,83,63
1,181,181,182,182,183,182,182,183,182,180,180,180,179,177,176,174,173,173,171,171,170,169,166,165,168,105,40,29,181,182,184,183,185,184,183,183,183,181,181,181,180,177,178,179,171,149,170,173,172,170,169,167,169,79,35,32,183,184,185,186,186,187,186,185,185,185,183,182,181,180,167,156,173,113,144,177,174,171,170,168,170,64,40,34,185,186,187,188,189,188,187,186,186,186,184,183,182,186,160,94,137,114,106,144,150,175,171,169,170,87,39,24,187,187,189,189,189,189,188,188,189,187,184,181,176,192,156,87,107,109,103,140,99,170,173,171,175,89,33,25,188,189,190,191,192,191,189,188,188,188,188,176,127,141,145,80,123,125,102,145,85,156,176,172,175,99,29,30,189,190,192,193,193,193,192,191,190,189,193,166,103,99,149,82,125,136,85,132,81,148,178,173,175,137,82,92,190,192,193,194,193,193,194,193,193,191,195,159,95,101,140,82,101,118,86,150,90,137,180,175,175,149,152,154,192,194,195,195,195,195,195,194,193,192,202,164,104,93,119,75,99,102,88,154,98,121,182,177,176,149,146,116,193,195,196,196,196,196,196,196,195,194,206,152,100,98,120,77,121,112,85,140,93,118,185,178,177,160,144,98,195,195,198,199,198,198,198,197,197,196,203,150,99,111,134,83,108,111,82,135,93,122,186,180,178,171,154,137,196,197,200,200,200,199,200,199,198,199,208,156,120,90,110,66,84,85,100,146,104,122,186,180,179,176,160,150,197,199,200,200,200,200,200,199,198,202,198,150,105,71,71,58,77,57,102,138,101,116,188,181,180,178,173,148,198,200,201,202,202,201,201,200,200,204,191,152,129,122,106,99,81,84,110,115,79,129,190,182,180,179,178,166,200,201,201,202,202,202,202,202,199,214,202,166,157,130,173,131,127,121,141,112,64,163,188,185,182,180,179,179,201,202,202,204,205,204,204,204,202,224,192,162,134,101,150,151,154,139,134,112,83,178,188,185,183,181,180,178,201,202,204,206,206,206,206,205,207,223,182,137,111,87,73,122,147,130,140,130,90,147,192,186,184,181,180,178,203,204,205,207,207,207,208,206,211,228,189,152,123,85,70,66,98,112,165,157,106,106,194,186,185,183,181,179,204,206,206,207,209,208,208,207,215,223,188,164,119,96,86,70,144,135,146,175,126,78,172,189,186,185,183,180,206,207,208,209,209,210,209,208,216,217,188,167,108,102,80,119,185,171,145,154,132,74,126,194,186,186,183,181,206,208,210,210,210,210,211,209,214,215,194,168,104,106,88,170,192,173,151,125,111,82,103,195,188,186,183,181,207,210,210,211,212,211,212,211,214,214,195,153,112,96,114,193,191,169,137,123,90,68,135,195,188,187,185,181,208,210,211,212,212,213,213,211,215,210,190,149,128,87,137,194,181,157,127,111,88,63,179,193,189,187,185,185,209,210,211,213,212,212,211,210,210,204,184,156,137,88,154,190,167,145,124,101,69,99,199,193,190,188,186,187,207,209,210,210,209,210,210,209,205,199,180,164,144,97,155,179,153,137,119,87,56,163,197,191,189,187,186,183,208,209,211,212,212,214,215,209,204,200,179,169,140,95,145,160,137,123,101,60,102,198,194,192,190,192,191,138,209,211,212,212,215,203,186,210,195,188,180,168,115,90,122,136,117,100,68,73,186,197,195,195,184,165,120,63,209,211,211,213,220,150,69,114,156,161,155,127,85,89,103,114,94,71,49,161,203,198,180,125,79,51,42,47
24,134,139,144,149,151,154,157,159,160,160,162,163,163,163,164,163,162,161,161,161,160,159,158,159,158,157,155,153,135,140,146,150,152,155,157,159,160,162,164,164,164,165,165,164,163,163,163,163,161,161,159,160,159,158,156,154,137,142,147,151,154,156,159,160,161,163,165,165,166,165,166,165,164,164,165,164,163,162,161,160,159,157,156,156,138,142,157,169,142,157,161,162,163,165,166,166,166,166,167,167,166,165,165,164,164,164,163,162,160,158,158,157,140,143,173,184,122,159,162,163,164,166,168,169,168,168,169,169,167,166,166,165,165,165,164,163,161,159,159,158,141,144,178,181,115,157,164,165,167,168,170,171,171,171,170,170,169,168,168,166,166,166,165,164,163,161,160,159,143,145,178,184,113,151,166,166,169,170,171,172,173,173,172,171,171,170,169,168,168,167,166,164,163,163,161,160,144,147,174,191,122,148,167,167,170,171,172,173,173,173,173,173,173,172,171,170,169,168,167,166,165,165,163,162,146,149,170,195,127,139,169,170,172,172,174,174,175,175,175,175,174,173,172,171,170,170,169,168,167,166,165,163,146,150,167,203,143,126,170,172,172,181,176,170,186,182,164,174,175,174,174,173,172,171,169,168,168,167,166,165,147,153,166,212,166,131,197,183,163,206,177,138,196,191,138,149,179,177,176,175,174,173,172,171,169,167,167,165,148,154,164,204,177,160,226,186,167,212,180,138,193,182,141,116,170,180,178,177,172,165,158,153,168,168,167,166,150,156,162,203,196,191,233,188,167,216,176,147,203,173,128,96,149,182,178,176,153,130,113,102,150,172,169,168,152,158,163,207,214,206,235,192,155,215,169,151,201,166,107,81,138,180,178,168,132,106,109,130,161,173,171,170,152,158,168,206,208,200,225,193,147,203,169,154,193,153,84,65,133,180,173,146,115,130,167,176,175,173,172,171,153,158,177,203,182,184,207,188,141,195,172,154,187,134,77,98,148,172,139,116,125,174,181,178,177,175,173,172,155,159,186,220,170,161,188,178,136,197,166,152,183,133,149,169,162,141,107,115,168,183,181,180,180,178,175,174,155,158,193,234,183,150,178,175,146,201,147,144,191,184,189,172,145,124,106,162,186,184,183,182,181,180,177,175,155,158,196,239,194,144,172,183,171,197,141,170,212,193,178,162,128,112,147,187,185,183,182,182,181,179,177,175,155,159,195,237,197,155,165,177,171,189,195,217,208,186,169,145,113,125,183,188,186,185,184,182,181,179,178,175,156,160,194,236,206,176,163,187,220,233,234,212,194,179,159,124,110,164,190,189,187,187,186,184,182,180,179,177,156,160,185,237,215,186,175,198,233,239,229,204,181,160,139,112,148,189,190,189,188,189,186,185,184,181,181,179,156,162,175,231,217,190,183,205,237,235,215,195,167,139,119,135,187,192,191,190,189,188,185,185,184,182,182,180,155,161,173,221,207,190,186,205,226,216,195,174,150,124,121,177,192,191,191,190,188,187,185,184,183,182,180,177,129,130,140,207,200,195,193,202,215,204,176,150,132,112,116,135,134,133,132,131,130,131,130,130,128,125,131,154,106,104,107,196,207,203,201,204,209,192,158,133,119,104,99,98,96,96,95,93,92,93,92,88,91,123,165,177,110,109,107,196,221,209,208,205,199,181,147,124,110,103,103,103,102,101,100,98,97,98,100,119,166,191,180,161,111,110,106,190,231,215,215,200,188,175,147,116,103,103,102,103,103,102,101,101,100,98,132,192,198,178,170,147
12,98,111,123,130,134,141,149,156,159,163,166,171,175,179,182,185,188,190,193,194,195,196,197,198,199,201,201,201,101,114,125,131,136,144,152,158,161,164,169,173,177,182,185,187,190,194,196,196,196,199,201,202,203,204,203,203,103,116,129,133,137,146,155,160,163,167,172,176,180,184,187,191,190,174,179,199,199,198,198,205,204,205,205,205,105,119,130,135,139,148,156,162,165,170,174,179,183,187,190,198,198,139,113,168,199,172,138,171,207,206,207,207,108,121,131,137,141,150,158,163,168,172,176,181,186,173,157,198,204,147,107,106,149,159,114,102,185,210,209,209,109,123,134,138,144,153,160,165,171,174,178,184,203,164,114,122,191,171,128,95,100,155,130,93,143,214,211,211,111,125,136,140,146,155,162,167,173,178,180,196,213,169,125,98,164,193,147,110,89,146,143,107,121,214,214,213,114,127,138,142,148,156,163,169,174,179,184,206,203,191,151,122,134,202,168,117,83,119,141,113,108,211,215,216,116,129,139,144,150,159,165,171,176,180,195,194,178,208,178,136,107,176,182,122,82,88,124,107,95,207,218,218,118,131,141,145,152,161,167,172,174,179,209,165,158,201,189,138,103,134,180,122,82,71,111,95,88,206,220,220,120,133,142,147,154,162,169,173,164,161,179,155,140,169,184,146,106,94,156,116,81,66,97,90,91,209,221,221,122,134,143,147,154,162,180,194,184,180,174,141,99,88,161,141,93,67,129,119,85,65,91,92,99,214,222,222,124,135,144,148,155,162,190,214,206,206,190,121,81,44,115,114,78,51,98,133,114,74,102,107,111,219,223,224,126,138,145,150,157,163,196,209,179,174,158,101,78,44,70,98,83,42,76,159,135,86,107,118,88,191,226,225,127,139,146,151,158,165,192,192,159,136,148,119,86,51,42,94,90,58,99,160,142,91,89,106,70,155,229,226,129,140,147,152,159,167,184,171,139,108,129,141,88,62,38,69,78,99,153,158,136,90,75,83,77,173,229,228,129,140,147,151,159,167,183,187,158,125,107,140,92,70,51,61,99,148,170,162,143,114,91,80,104,212,230,230,130,140,146,150,158,167,187,190,162,133,109,122,99,75,59,72,135,168,173,171,156,127,98,78,156,231,222,203,131,141,146,150,160,167,188,188,174,156,115,100,113,98,80,93,168,179,179,180,153,120,93,94,202,196,183,156,132,141,147,152,161,169,186,187,182,164,113,110,134,118,96,115,183,188,190,173,132,108,88,117,192,129,127,170,131,141,147,153,161,169,181,181,177,168,115,123,136,116,123,164,194,195,185,151,114,97,85,115,120,126,107,121,131,141,147,152,161,170,176,174,176,164,124,130,138,121,153,177,195,188,166,130,99,86,101,151,117,138,115,111,129,138,143,149,159,167,174,176,180,161,130,135,138,121,155,166,183,175,150,113,89,81,129,175,125,106,146,180,108,113,116,119,124,129,133,152,174,160,139,139,135,123,147,164,165,154,124,94,80,101,123,129,124,117,149,150,103,104,104,106,108,107,105,120,172,162,145,139,131,126,135,155,148,121,97,82,87,123,177,154,144,146,124,141,106,105,108,109,110,112,112,115,170,176,154,136,131,129,129,142,131,100,82,88,158,181,217,206,198,167,142,177,107,107,108,109,111,111,112,113,158,167,149,131,123,119,121,128,115,90,72,115,214,200,180,182,185,154,126,132,106,108,109,111,112,112,113,115,159,162,122,106,104,105,113,113,96,79,65,109,213,188,186,198,218,189,141,115
24,125,131,139,149,157,163,167,171,176,179,182,184,186,187,187,187,186,185,184,183,182,179,178,178,176,174,171,169,127,132,142,153,161,166,171,175,179,183,186,188,190,192,192,192,191,190,189,188,187,185,184,182,180,178,175,174,130,135,144,156,164,169,174,178,183,187,190,193,195,195,195,195,195,195,194,194,192,190,189,187,186,184,181,179,132,137,147,158,166,172,177,181,185,190,194,196,197,197,199,199,199,199,198,197,196,194,193,192,191,189,186,183,134,139,149,161,169,175,180,184,188,192,196,199,201,201,202,202,202,201,201,200,200,199,197,197,196,194,191,189,136,142,157,163,172,178,182,187,191,195,199,202,203,203,204,205,205,204,203,203,203,202,201,201,200,199,196,193,137,154,162,139,174,180,184,189,193,197,201,203,205,206,206,208,208,207,206,206,205,205,206,205,204,202,200,197,138,162,152,108,171,182,186,191,196,200,203,205,206,208,209,208,209,209,208,209,208,208,208,208,206,204,202,201,140,169,149,101,167,184,189,193,198,201,204,207,209,211,213,189,168,199,210,209,209,209,206,201,205,208,205,203,142,171,140,96,166,186,190,192,193,203,206,204,177,189,224,187,133,141,207,211,204,187,167,139,159,210,208,207,143,167,136,95,165,188,197,184,156,180,214,209,145,122,169,191,150,114,184,198,191,158,120,107,174,212,196,172,145,168,147,98,158,189,212,208,179,163,200,210,157,122,119,188,165,120,143,170,189,133,104,159,176,138,87,63,147,169,161,109,146,191,210,229,219,184,156,204,180,148,117,172,164,114,107,179,165,102,84,94,69,50,49,42,150,165,180,149,154,186,205,206,227,203,153,160,197,159,112,128,138,99,127,189,130,79,52,46,52,54,51,48,150,158,190,178,173,190,203,175,190,203,150,113,190,175,117,77,88,103,165,171,101,56,44,41,41,53,52,45,152,157,184,197,194,208,210,189,169,179,143,97,164,181,120,66,76,142,173,141,78,38,38,47,37,43,52,50,153,160,179,216,201,188,191,175,151,158,147,111,120,144,104,92,117,152,148,110,56,44,30,40,43,37,45,53,153,162,176,216,202,172,176,163,135,137,151,133,108,113,149,168,162,159,123,83,29,44,39,30,39,37,40,47,150,160,171,205,207,158,143,149,138,139,157,166,148,166,217,209,183,166,109,66,16,31,48,35,31,37,36,39,120,125,127,165,208,169,132,141,167,152,189,215,203,221,232,208,181,158,99,63,22,18,43,47,36,35,31,35,108,110,108,134,211,194,149,131,160,165,200,222,229,237,226,197,172,144,90,53,33,11,31,48,43,39,31,28,111,112,112,122,200,206,170,140,141,168,192,226,235,230,212,185,162,136,83,37,41,10,20,43,44,43,36,26,112,114,115,116,184,213,189,156,141,162,181,223,233,221,200,175,153,132,83,27,43,18,10,34,44,42,38,33,111,113,115,113,163,213,200,170,153,161,171,212,225,210,191,170,144,125,81,27,40,28,6,22,42,39,37,35,110,112,113,112,137,205,203,182,163,165,164,198,216,201,188,168,132,113,73,27,37,37,11,11,35,39,33,33,110,111,112,113,119,182,202,191,173,171,161,178,203,195,188,160,120,103,57,14,32,41,22,6,24,39,29,29,110,111,111,112,112,143,198,198,182,174,162,159,183,184,176,148,112,95,46,3,19,42,32,11,12,34,31,23,109,110,110,111,112,116,175,199,186,174,159,145,157,169,156,134,108,84,34,1,8,38,36,20,7,23,35,20
1,179,180,181,181,181,183,184,183,185,185,185,183,173,181,184,183,182,182,181,181,180,180,180,178,177,177,176,175,181,183,182,183,185,185,185,186,186,189,191,187,154,145,190,185,187,185,185,185,184,183,182,182,182,181,179,177,184,185,185,186,187,187,187,189,189,180,176,195,168,111,132,148,188,189,187,188,187,186,185,184,183,183,183,181,186,187,188,188,189,190,191,190,192,174,125,183,179,103,117,130,152,199,187,189,188,188,187,186,185,183,184,183,187,189,190,190,191,192,193,193,193,187,126,161,183,110,124,149,113,195,192,192,191,190,189,188,188,187,186,186,188,191,192,193,194,194,194,196,194,195,136,138,188,128,133,160,106,181,198,193,193,192,192,192,189,189,188,188,191,192,193,194,194,195,196,188,186,200,150,123,174,127,139,174,116,164,203,193,195,194,194,193,193,192,190,189,193,194,194,194,195,197,199,172,139,200,163,109,162,129,131,173,122,155,206,195,197,196,194,194,194,194,193,190,194,195,196,197,197,199,200,184,123,184,166,104,167,149,109,175,136,146,207,196,198,197,196,197,196,195,194,194,195,197,198,198,199,199,202,187,125,173,183,114,150,158,107,172,159,140,208,197,199,198,197,198,198,198,196,195,196,198,199,199,200,200,203,191,128,164,191,118,117,146,137,169,139,128,201,202,201,200,199,199,200,199,198,198,197,200,201,200,202,201,203,194,139,135,185,119,120,140,141,158,123,120,122,150,210,200,200,200,200,198,198,199,200,201,202,202,204,204,201,200,151,116,170,138,142,135,143,153,146,128,103,107,192,206,202,202,201,199,199,200,200,201,202,203,204,205,202,198,163,145,156,136,144,135,158,177,145,110,140,130,149,213,201,203,203,201,200,199,201,203,204,205,205,206,206,203,178,153,146,132,141,143,162,170,150,150,190,165,128,199,206,203,203,203,202,201,202,204,206,205,206,206,207,207,183,150,135,129,138,146,169,175,177,171,160,175,124,158,214,202,203,203,203,203,203,204,206,205,207,208,206,210,192,155,125,130,141,150,180,182,198,197,169,146,109,112,210,205,204,204,203,203,204,205,207,207,208,210,207,209,209,170,131,133,143,164,179,186,194,188,168,143,104,100,203,209,207,204,204,205,204,205,208,209,207,210,209,206,215,191,152,129,145,171,184,196,199,186,167,149,101,122,213,206,208,206,206,205,205,206,208,210,210,211,212,203,217,208,175,140,141,164,190,205,201,189,179,148,95,153,220,207,209,209,208,206,206,207,209,210,212,212,214,203,213,215,190,155,148,161,191,209,203,198,177,135,94,183,216,208,209,209,208,206,207,209,209,211,212,211,213,207,203,211,201,165,156,160,187,201,210,197,163,120,104,208,212,210,211,210,210,207,207,210,210,211,212,211,213,213,192,201,202,175,156,155,179,196,197,175,141,100,129,222,212,211,211,211,210,209,206,209,209,211,211,211,212,215,197,187,191,177,162,156,163,176,168,140,112,92,182,219,211,211,211,211,211,210,206,209,209,210,211,212,212,213,211,182,183,178,167,163,146,148,152,127,91,140,220,212,213,211,211,211,210,208,207,209,210,210,211,212,213,213,216,194,189,176,162,159,137,137,141,112,93,198,217,212,212,211,211,210,209,208,208,209,210,210,211,212,213,213,215,197,190,168,155,156,144,138,126,96,119,218,212,213,212,212,211,212,211,208,207,209,211,211,211,212,212,213,218,195,197,188,172,171,154,144,119,89,137,222,213,214,215,213,212,212,211,209
22,191,192,193,192,193,194,193,193,192,194,194,193,192,191,190,187,189,189,187,185,183,183,181,179,177,175,173,170,195,196,196,196,197,198,198,196,196,197,202,198,195,194,196,196,191,191,189,188,188,187,184,182,180,178,176,174,199,199,200,200,201,200,200,199,199,202,169,193,201,198,186,176,197,194,192,192,190,189,187,185,186,184,179,177,201,202,203,203,204,204,204,204,202,201,142,157,210,201,198,126,185,200,196,196,195,192,189,192,158,169,185,180,204,205,206,206,206,206,206,206,204,199,164,125,210,202,207,126,162,208,197,197,197,194,192,200,133,126,194,180,207,207,210,210,208,208,210,209,207,206,183,109,197,207,208,126,140,213,199,200,198,195,199,195,115,137,197,186,209,211,212,213,212,212,213,212,212,206,186,104,178,216,210,132,130,213,202,203,201,198,205,178,103,160,197,187,213,214,213,214,214,214,215,214,215,211,198,129,149,223,215,145,120,213,205,207,203,202,211,156,102,188,194,189,216,215,215,216,217,217,217,215,216,216,210,155,124,222,216,135,108,211,208,208,204,210,204,138,120,205,194,193,218,218,218,218,219,218,219,218,219,219,215,167,99,212,220,131,106,209,212,209,206,208,182,106,156,208,196,196,219,220,220,220,221,220,219,220,221,221,214,186,103,175,228,145,110,206,217,211,209,198,153,93,197,203,198,197,221,221,221,221,222,221,221,221,221,224,208,193,149,121,220,152,107,204,221,213,215,203,127,129,217,201,201,199,223,223,223,222,223,223,223,223,222,224,217,199,177,137,186,154,124,177,223,218,211,185,107,179,215,204,205,204,225,225,225,225,225,225,225,225,225,226,226,204,201,213,206,187,193,128,133,203,202,147,109,213,210,206,205,203,227,227,227,227,227,227,226,226,227,227,230,215,204,188,176,179,191,134,92,103,141,102,150,225,209,208,207,204,228,228,228,228,227,228,229,229,229,228,229,224,216,160,79,116,182,154,123,111,112,72,189,222,213,212,209,206,229,229,229,230,228,229,230,230,230,230,229,225,204,139,91,66,132,161,141,134,131,67,196,224,215,214,212,209,230,231,231,231,231,231,231,232,232,231,230,222,202,170,126,78,74,83,115,135,109,60,154,232,214,216,212,211,233,232,234,233,234,234,234,234,235,234,232,217,206,178,118,81,89,90,119,171,139,86,94,226,216,216,213,212,234,234,235,235,235,236,235,236,236,237,233,215,206,166,119,94,95,126,195,205,176,127,61,167,229,215,215,213,234,233,234,235,235,235,236,236,236,236,234,217,208,182,138,100,101,162,218,226,200,164,72,127,234,214,215,213,234,233,235,235,234,235,236,235,235,235,235,215,206,189,146,99,111,184,224,220,196,150,65,143,231,212,214,213,235,235,236,236,236,236,237,237,237,237,236,210,199,204,152,107,122,203,227,202,167,126,55,181,225,213,214,210,236,236,237,237,237,237,238,239,238,238,237,207,195,198,155,110,121,213,212,182,143,112,71,210,222,215,216,221,236,236,236,236,236,236,237,237,238,237,239,205,189,187,155,107,110,197,195,177,133,91,90,223,220,227,216,156,242,244,245,245,245,246,247,247,247,245,249,221,187,188,154,115,112,190,192,164,117,63,128,244,216,166,102,51,161,165,170,177,181,185,190,192,195,202,208,205,188,180,152,132,108,177,184,143,96,57,160,168,94,54,51,49,112,111,112,113,112,110,112,110,109,112,111,125,194,181,151,135,101,141,147,104,71,55,72,57,36,47,58,41
19,104,106,109,111,113,116,117,118,119,120,120,120,121,122,123,124,124,124,124,124,124,123,124,125,123,122,123,121,106,109,113,116,117,119,121,122,122,123,123,123,125,126,127,128,127,126,127,128,128,127,128,128,127,127,127,125,111,113,117,120,122,123,125,126,127,127,127,128,128,130,133,130,129,130,131,131,131,130,130,130,129,130,129,128,115,117,121,124,126,127,128,129,130,131,130,134,129,87,104,139,132,134,135,135,135,134,134,134,133,133,131,129,118,121,124,127,128,130,130,132,133,134,132,146,136,86,55,139,137,137,137,137,137,136,137,138,137,137,136,135,120,123,127,130,132,134,134,135,136,137,135,150,141,100,36,123,150,145,144,142,141,140,139,140,140,140,139,138,124,128,130,133,135,137,138,139,139,141,140,150,142,96,37,105,124,119,140,140,142,146,148,145,145,144,142,141,128,131,133,135,137,138,140,142,146,148,145,148,133,115,125,133,108,76,103,105,99,109,115,138,137,143,145,143,130,133,136,138,141,142,144,145,144,140,140,137,138,140,132,119,104,70,84,109,106,102,90,113,93,127,152,145,133,136,138,141,144,145,146,141,112,111,120,124,124,118,113,117,111,70,47,73,79,75,69,71,101,146,151,148,135,138,140,143,146,147,152,130,105,103,102,107,112,118,116,116,110,55,117,145,136,129,132,140,155,154,151,151,136,140,143,145,148,149,155,126,123,108,91,94,101,105,100,95,95,60,128,168,159,163,163,160,157,157,154,152,139,142,145,148,151,151,150,152,148,108,81,90,95,105,112,105,96,68,85,169,157,158,159,160,159,158,157,156,141,144,147,149,152,154,148,154,159,129,102,74,75,88,93,83,78,49,89,171,158,161,160,162,161,160,159,157,142,145,149,151,153,155,152,143,154,160,117,83,80,89,91,75,65,40,123,174,163,165,164,163,163,162,159,159,143,147,151,153,156,156,150,154,155,144,103,92,88,85,77,59,49,37,143,171,168,166,164,165,164,163,162,163,146,149,153,156,158,156,152,161,156,134,106,89,92,70,38,15,27,57,168,166,168,168,166,166,166,165,164,164,148,151,155,157,160,158,154,161,152,124,92,95,117,56,11,2,22,104,177,165,168,169,169,167,167,166,164,165,150,153,157,159,162,162,151,158,148,118,90,110,103,39,5,11,73,168,169,168,170,170,171,170,168,168,166,166,151,155,159,161,163,164,150,151,143,110,94,120,88,43,23,9,128,181,168,172,172,171,171,171,170,170,169,167,153,156,159,162,165,165,145,140,134,111,119,127,82,40,31,25,151,177,172,174,173,172,173,172,172,172,171,170,154,157,160,163,165,167,144,136,136,125,130,116,69,37,27,57,180,171,175,174,174,174,174,173,172,173,172,171,155,158,160,163,165,167,137,137,138,127,121,95,57,37,25,111,187,172,174,175,175,175,175,174,174,174,173,172,157,159,162,165,166,167,134,142,131,110,102,73,49,36,49,167,178,175,175,177,178,177,177,177,177,176,176,175,158,160,162,166,169,166,134,142,129,104,84,52,47,33,106,189,176,178,178,178,178,179,178,178,179,178,178,176,159,162,163,166,172,165,138,160,137,104,72,43,40,22,135,187,177,179,179,180,180,179,179,178,178,179,179,177,159,162,165,166,173,156,143,159,125,92,61,43,28,47,177,181,178,179,180,181,181,180,180,179,179,178,179,178,157,159,165,167,174,145,147,144,98,75,58,49,15,95,194,176,179,179,180,180,180,180,180,179,179,180,181,178
4,189,189,189,190,191,192,191,190,192,191,191,193,193,193,192,193,193,193,193,192,194,192,190,190,191,189,189,188,191,191,191,192,192,193,193,192,193,194,193,194,193,193,194,193,194,194,194,194,193,193,193,193,192,192,190,189,192,193,193,193,193,194,194,194,194,194,193,193,193,194,194,194,195,195,196,195,195,194,194,193,193,193,192,190,193,195,195,194,195,195,194,195,195,195,195,195,196,184,174,188,193,177,172,191,196,195,194,195,194,194,194,192,194,195,196,195,196,196,196,195,196,196,189,196,220,200,164,151,203,175,144,138,188,185,192,196,196,196,195,194,195,195,196,197,196,197,199,198,197,209,202,180,180,224,182,142,210,194,154,105,163,143,132,191,198,196,196,195,196,196,196,197,199,199,199,198,204,219,217,188,146,208,189,133,202,199,160,134,191,158,103,134,199,197,198,196,197,199,199,199,200,200,201,199,212,200,213,187,141,183,188,122,181,199,151,139,196,160,108,110,200,200,199,198,198,200,200,200,201,201,201,203,218,180,199,187,129,163,192,138,148,181,133,152,206,178,114,122,202,201,201,199,198,199,200,201,202,202,200,211,202,153,160,187,137,142,194,179,170,169,175,198,215,179,127,137,204,202,202,200,199,200,200,201,203,202,203,216,205,176,151,168,130,111,141,177,176,181,194,199,195,167,147,113,197,203,203,202,200,200,200,201,203,203,213,212,195,173,147,126,97,96,116,114,149,158,166,176,168,154,163,109,164,206,204,203,200,201,201,202,203,204,215,202,174,148,136,117,95,102,119,93,127,131,132,143,138,168,170,126,121,205,204,204,200,202,202,203,204,204,219,206,174,137,113,105,100,113,121,120,151,150,126,105,159,201,186,147,101,185,206,204,200,202,202,203,205,205,226,219,186,147,114,95,99,120,116,153,174,170,143,161,174,204,200,172,117,137,208,206,200,201,202,203,205,207,227,224,194,153,112,99,100,124,138,178,171,182,190,203,207,196,203,169,122,106,207,206,199,200,202,202,202,208,228,226,204,153,115,113,106,115,147,171,181,201,208,203,203,186,175,150,120,98,197,206,199,200,202,202,202,209,228,223,210,157,126,133,121,130,160,177,199,207,205,197,190,176,148,127,112,113,200,207,200,201,201,202,203,211,225,221,200,164,155,142,131,172,193,206,213,209,200,187,174,156,131,107,100,173,206,207,200,201,201,202,203,211,224,221,206,183,169,149,133,189,210,214,218,207,191,175,161,140,115,94,147,204,208,208,201,202,202,203,203,205,226,220,216,197,173,164,143,183,212,215,213,196,174,162,149,126,103,115,198,209,210,208,202,202,202,203,204,197,221,222,222,204,183,169,156,180,211,210,201,184,163,149,132,112,97,176,209,210,209,208,202,202,203,203,204,196,212,218,211,195,184,170,162,175,201,198,186,171,149,136,118,98,131,207,211,211,210,209,177,180,185,186,188,185,206,219,203,187,185,175,164,174,185,184,170,153,137,127,109,97,189,211,212,211,210,209,109,111,111,112,115,112,190,216,200,192,192,182,167,172,181,178,164,139,124,116,97,117,172,178,182,184,185,185,102,102,101,102,102,97,183,218,203,198,194,184,168,173,184,182,160,124,112,102,94,100,105,106,106,108,133,147,103,102,104,104,104,98,183,221,204,200,198,192,170,169,183,177,144,111,101,92,99,103,103,107,141,170,201,216,102,103,104,104,106,98,180,224,206,201,205,204,174,158,178,165,126,103,94,95,114,117,143,182,219,208,176,196
23,99,101,105,114,124,134,141,143,147,151,157,161,165,168,169,171,175,176,179,179,178,178,179,179,180,180,179,178,98,101,106,116,126,135,142,146,148,154,159,163,167,168,170,173,177,178,179,181,181,181,181,181,182,180,180,180,99,102,106,117,127,136,143,147,149,155,160,165,168,170,172,175,178,179,182,182,183,183,183,183,183,182,181,181,99,102,106,118,128,137,145,148,150,156,162,167,169,172,176,177,179,181,183,184,183,183,184,184,184,184,184,182,101,104,106,118,129,139,146,149,153,158,163,168,170,173,176,178,180,183,183,183,184,184,184,184,184,184,184,182,100,103,108,119,130,140,146,150,154,159,164,169,171,175,177,179,182,183,184,185,187,186,186,185,185,185,184,184,100,103,109,120,130,141,148,149,154,161,166,170,173,176,179,181,183,184,187,187,184,186,184,186,189,185,184,185,101,103,110,121,132,142,149,152,155,162,168,172,175,178,181,183,183,187,187,183,210,219,195,187,184,186,187,185,100,103,110,123,132,142,149,152,156,163,169,174,176,179,182,184,187,186,191,228,243,204,200,178,122,181,190,187,101,103,110,123,133,144,151,154,158,165,171,174,178,182,183,187,186,196,249,221,184,123,151,159,161,191,189,190,101,104,111,124,135,145,152,154,159,166,172,176,179,182,184,188,183,230,255,147,102,164,194,194,198,192,191,190,101,103,111,125,136,147,153,155,160,166,173,177,181,184,188,188,190,250,252,184,197,187,181,197,194,194,193,192,101,103,111,125,136,146,154,156,162,169,174,179,184,183,186,188,213,255,254,255,244,155,145,208,194,196,195,193,100,104,113,125,137,149,155,157,163,169,174,182,180,195,217,225,247,199,222,211,199,137,115,182,195,198,197,195,101,105,114,127,139,150,157,160,165,170,178,178,199,232,226,232,250,208,236,237,207,135,102,152,176,204,197,198,102,105,114,128,140,151,158,161,166,173,177,190,232,213,205,211,211,191,213,227,191,124,93,118,133,210,200,199,102,104,114,128,141,152,160,162,166,175,173,238,255,230,220,221,208,196,196,161,143,124,88,121,103,154,207,200,102,104,115,128,140,152,160,162,167,175,179,254,255,232,196,197,212,208,197,144,120,131,79,117,121,112,186,207,101,103,114,130,141,153,160,163,167,174,183,250,252,217,170,140,152,171,175,130,128,129,72,114,123,129,198,205,102,104,115,130,142,155,160,162,168,174,186,255,255,187,134,113,83,182,174,120,136,106,92,125,120,163,212,204,101,103,117,130,142,154,161,164,171,175,188,255,241,181,137,98,106,182,151,123,112,77,109,132,135,205,209,209,101,103,116,130,143,156,162,164,172,173,197,255,231,179,141,108,99,110,110,92,84,93,110,122,168,218,209,210,98,101,116,131,142,154,160,162,171,171,206,255,225,177,141,105,73,79,85,97,115,116,115,121,197,213,210,210,98,100,114,129,142,154,162,163,172,172,217,255,219,178,142,114,92,105,119,125,131,124,113,160,216,211,211,210,96,100,113,128,142,155,162,164,173,173,215,250,211,174,144,121,103,109,129,134,134,118,132,214,214,213,213,212,95,98,112,128,143,154,162,164,173,173,217,240,201,176,150,127,115,111,132,137,136,112,172,223,212,214,213,212,91,95,109,125,141,154,160,163,171,173,226,230,205,192,164,138,123,113,129,135,125,138,213,216,215,213,213,213,93,97,110,124,138,151,158,161,170,175,239,236,218,205,177,143,127,118,127,128,129,197,219,212,213,212,212,212
10,114,120,127,124,106,88,100,64,54,88,87,96,99,115,129,134,139,148,152,158,164,168,169,174,175,178,181,182,122,129,135,126,114,91,112,57,63,90,91,92,123,161,127,137,141,150,155,160,164,168,171,175,177,179,180,182,133,140,146,129,120,94,120,50,72,89,94,85,169,191,109,138,145,153,158,162,166,170,174,177,179,180,182,182,143,150,155,134,126,98,125,44,80,90,95,90,154,200,112,125,154,156,161,165,169,173,178,180,181,182,183,183,153,161,162,137,129,107,125,41,86,91,95,95,130,200,131,110,158,162,167,170,174,180,184,186,187,187,187,188,162,172,168,143,130,118,118,42,93,92,96,100,114,198,165,107,156,170,173,176,183,188,192,193,194,194,194,194,170,181,172,150,128,130,109,47,97,93,98,103,110,188,188,115,143,180,178,184,190,195,198,200,201,200,201,202,177,188,174,156,126,143,98,55,97,94,99,106,115,173,200,126,126,187,184,191,195,201,204,206,207,207,207,208,182,194,173,162,124,154,84,64,99,95,100,107,119,172,220,145,118,191,192,197,203,207,210,214,215,215,215,215,188,199,175,167,124,163,73,70,97,97,100,107,122,175,218,155,117,194,199,203,208,212,215,219,220,221,221,221,193,201,176,171,125,167,56,102,106,96,100,110,127,174,203,154,112,190,205,207,214,218,222,225,226,227,227,227,197,204,177,170,129,156,114,161,99,107,121,110,133,182,183,160,108,184,212,212,219,224,228,230,231,231,231,233,201,203,178,167,134,152,150,153,95,89,91,96,128,191,168,191,103,171,219,215,223,229,232,234,234,234,235,236,204,204,182,162,140,177,120,142,125,95,83,74,79,112,140,163,98,154,225,219,227,233,236,237,238,238,239,240,207,203,186,157,148,149,86,93,145,131,108,74,57,88,116,128,108,129,226,224,230,235,237,240,240,240,241,243,209,200,193,153,159,132,83,138,162,147,107,78,67,75,93,109,106,110,223,228,233,238,241,242,243,243,244,245,212,199,197,147,178,101,114,214,187,143,113,90,81,77,86,94,98,109,224,232,235,240,243,244,246,247,247,247,213,200,197,141,184,86,126,216,182,127,135,114,89,82,82,88,91,112,229,233,238,242,246,247,248,249,250,250,215,200,197,139,191,77,88,231,220,113,103,135,111,96,79,80,87,121,235,234,240,245,248,249,250,250,251,252,215,202,200,139,195,64,93,230,228,105,139,137,134,110,82,81,80,138,239,233,241,246,249,250,251,252,253,253,214,203,201,143,202,58,91,214,170,126,204,161,135,126,91,85,75,146,242,234,242,246,250,252,253,255,255,255,214,207,196,147,198,53,86,196,214,176,210,185,144,131,107,93,79,155,241,234,241,246,250,251,252,255,255,255,216,213,190,156,190,49,88,163,218,191,201,186,172,137,111,99,80,160,242,235,241,245,249,251,252,253,255,255,217,215,182,168,175,37,95,109,205,218,201,198,171,145,118,102,81,154,240,234,240,244,248,251,253,252,254,255,216,218,173,175,173,75,119,101,194,220,197,214,164,143,115,104,87,170,247,242,249,253,255,255,255,255,255,255,206,219,168,175,203,138,132,128,164,218,193,206,163,133,116,111,91,144,180,183,188,192,199,202,205,209,214,211,213,218,164,184,197,123,122,127,126,198,191,178,170,149,136,115,87,116,137,134,134,136,136,136,137,136,137,96,216,213,160,192,192,128,128,132,128,157,167,159,171,176,165,116,79,85,145,142,146,148,148,145,145,150,121,85
12,137,137,140,142,143,144,148,147,148,149,148,147,148,147,146,145,145,144,143,143,143,141,141,140,139,136,137,137,139,140,142,143,145,147,148,149,149,150,150,150,150,148,149,150,147,145,145,144,143,144,143,142,140,140,139,138,140,142,143,145,148,149,150,151,152,152,152,152,152,152,152,152,150,148,148,147,146,146,144,144,143,143,140,140,142,144,145,149,150,150,152,153,153,153,154,155,153,153,152,151,151,151,150,149,149,148,148,146,144,144,143,142,143,146,149,151,151,152,154,156,155,155,157,157,157,159,155,152,154,157,158,150,149,149,150,149,147,145,145,143,145,148,150,152,153,155,156,158,158,159,159,156,154,145,154,160,147,116,116,160,156,155,151,151,150,149,147,145,148,150,152,154,156,158,160,159,160,161,158,168,155,103,78,152,138,85,17,116,138,132,158,154,150,149,149,148,150,152,154,157,160,159,161,163,162,163,165,176,153,102,24,98,132,82,36,43,105,45,69,158,151,150,151,149,151,154,158,160,161,161,163,163,164,162,133,166,137,83,19,77,169,105,60,39,89,48,5,96,166,150,152,152,153,155,159,160,161,163,163,163,182,166,93,126,152,95,3,94,219,123,74,68,99,52,9,70,170,152,153,153,155,157,160,161,162,164,161,185,206,165,113,69,197,139,11,77,197,97,42,128,117,66,0,86,171,154,155,156,157,158,160,162,165,169,163,193,195,172,114,43,169,122,42,55,97,58,62,169,97,32,0,103,171,157,159,157,159,160,162,165,167,166,168,208,172,141,85,33,32,59,32,38,99,150,141,100,43,0,5,143,166,159,160,159,159,162,166,167,168,166,198,201,161,85,53,32,0,0,106,148,148,150,130,90,83,15,64,177,160,161,160,161,161,163,166,168,169,170,216,187,137,88,84,14,0,115,194,182,153,133,102,78,83,25,86,181,162,164,162,161,162,164,168,170,170,173,218,191,106,112,116,27,94,203,192,181,152,124,105,75,60,8,99,182,164,167,165,163,164,166,169,171,168,184,221,192,152,130,101,127,187,196,191,173,149,116,95,67,39,0,123,179,166,167,166,165,164,167,170,174,170,192,220,200,175,160,111,151,186,196,179,165,141,100,81,55,29,0,112,183,166,169,168,167,166,168,172,175,171,191,216,204,184,164,121,166,181,184,164,150,122,89,70,42,22,0,109,185,168,171,169,168,169,170,172,177,174,187,210,201,192,161,124,150,173,160,152,142,104,73,51,30,6,0,156,177,172,173,170,169,169,170,173,176,173,182,210,203,191,144,113,138,149,155,140,123,84,58,40,20,0,103,184,173,175,174,173,171,170,169,174,176,188,185,194,192,160,114,113,139,147,156,140,107,85,58,32,2,105,186,174,177,177,175,173,172,168,170,175,175,110,169,196,172,154,147,140,138,157,160,131,89,80,50,0,103,196,175,177,177,178,176,174,172,170,169,183,142,2,55,195,192,179,160,134,112,142,142,99,66,61,7,60,190,179,179,179,177,178,177,175,174,171,173,179,67,42,15,62,138,129,116,106,95,125,109,70,55,21,27,180,185,180,181,181,179,178,178,177,175,168,184,141,29,41,36,0,10,11,10,5,7,36,43,40,26,2,152,193,181,183,183,182,180,180,179,178,177,167,176,76,31,35,45,0,0,0,0,0,0,0,0,0,0,0,164,187,183,184,183,183,182,180,178,178,176,178,137,33,35,32,41,0,0,0,0,0,0,0,0,0,0,0,78,201,179,183,182,182,180,178,178,177,174
3,94,87,38,72,96,109,118,129,136,141,145,149,152,154,156,159,161,163,166,166,169,171,171,174,175,176,175,176,101,82,39,78,100,112,121,132,138,143,148,151,153,155,157,160,163,163,164,170,170,172,174,175,176,177,178,179,107,77,41,83,103,114,123,134,139,144,150,152,154,157,160,162,165,172,128,164,174,174,175,176,176,178,179,179,108,68,44,86,104,115,124,134,140,146,150,153,155,157,161,163,168,186,120,148,178,174,176,177,178,179,180,180,109,59,51,88,106,116,126,136,142,147,150,154,156,159,162,164,171,184,117,147,178,175,177,179,179,180,181,181,109,52,58,92,107,117,128,138,142,149,152,155,158,161,164,165,175,188,118,152,179,175,178,179,180,181,181,182,107,45,63,94,109,118,129,139,144,150,154,158,162,160,160,161,184,177,115,155,182,179,181,181,182,183,183,183,103,42,70,96,111,120,132,141,146,151,153,155,156,189,174,138,176,154,109,157,183,180,182,182,183,184,184,185,97,41,76,99,113,122,133,141,147,149,170,177,146,163,196,153,128,144,107,167,183,182,183,183,184,186,187,186,89,42,81,100,113,124,135,143,148,146,177,208,184,131,160,164,131,155,114,176,181,183,183,185,186,187,188,188,79,44,85,103,115,126,137,143,151,190,174,141,175,150,124,189,166,149,107,172,186,182,185,187,187,188,189,189,69,48,88,104,117,127,138,142,159,201,188,142,120,163,120,124,138,154,110,131,187,184,187,187,189,189,190,190,60,54,91,106,119,129,140,141,168,176,134,162,145,146,152,86,112,169,162,120,152,192,187,189,190,190,191,191,51,60,93,108,119,129,141,140,176,170,105,122,124,115,125,121,116,154,178,124,147,195,188,190,190,191,192,191,43,66,95,109,120,130,142,141,179,171,148,125,98,112,125,139,121,159,179,118,163,195,190,191,191,193,192,193,39,72,97,110,120,131,141,142,188,182,146,115,104,123,144,145,132,180,186,118,176,193,190,192,193,193,194,194,38,77,98,112,122,131,141,144,188,171,130,111,114,133,155,158,173,196,173,116,181,192,191,192,193,194,194,195,41,80,99,112,122,132,143,144,185,178,142,122,116,139,162,182,202,186,158,114,182,192,193,194,194,195,195,195,45,82,102,115,123,133,143,143,184,185,151,127,122,138,174,204,202,171,134,122,192,193,194,194,194,194,195,196,49,84,103,115,124,134,143,143,181,192,165,133,129,142,191,203,196,170,114,128,198,191,194,194,194,195,195,195,53,86,103,115,124,135,143,144,174,192,166,144,137,147,198,202,187,164,108,140,199,192,195,195,195,195,196,196,56,89,104,114,124,134,142,147,162,182,170,160,149,151,192,194,175,156,103,161,198,192,194,195,195,196,196,196,60,91,105,115,124,135,142,148,154,176,177,167,161,148,177,178,162,139,107,182,195,193,195,195,196,197,196,196,65,92,106,116,125,135,142,148,153,180,182,170,156,141,157,161,154,131,123,196,192,194,195,196,196,197,197,196,68,93,106,115,125,136,142,149,152,192,188,166,150,139,151,149,154,117,158,198,191,194,195,196,197,197,197,197,71,93,106,115,125,135,142,149,155,201,188,169,155,144,158,148,139,113,184,192,193,194,195,196,196,197,197,197,75,95,107,116,125,136,142,148,158,200,195,182,153,157,166,140,113,126,194,190,193,194,196,196,197,198,198,197,78,96,108,117,126,136,141,148,159,201,203,184,152,164,159,134,101,139,196,190,193,194,196,196,197,199,200,199
12,77,81,86,93,107,121,128,135,140,145,147,149,152,154,158,161,164,166,167,168,169,172,173,173,174,174,174,175,77,82,88,93,109,124,129,136,142,146,147,151,153,157,159,161,164,167,169,169,172,173,174,174,175,175,176,176,78,82,89,95,110,123,131,139,143,146,149,152,156,157,162,167,165,170,163,173,174,175,176,175,177,179,179,179,79,85,91,98,113,125,133,139,144,147,152,153,155,171,137,136,176,180,125,121,179,172,179,180,178,181,180,181,80,85,92,100,116,127,134,139,144,149,155,148,180,194,147,109,155,184,139,92,126,136,119,174,183,181,181,182,81,85,93,100,117,129,135,142,147,152,156,148,205,203,160,125,134,186,154,120,89,134,99,119,187,182,184,184,81,87,95,102,119,130,136,143,148,153,156,157,208,222,180,130,130,192,152,122,82,125,123,83,167,189,183,185,81,89,95,105,122,132,137,144,149,154,150,167,191,204,195,131,120,199,154,115,77,123,117,84,171,189,187,187,84,90,97,106,123,132,140,145,149,145,158,174,178,165,170,120,97,166,142,102,78,127,108,94,183,190,188,188,83,90,97,108,124,131,139,145,148,195,215,147,101,107,149,102,81,134,110,89,83,120,97,113,197,188,190,189,85,91,96,111,126,132,141,139,178,236,184,130,107,78,133,115,77,118,113,89,84,113,91,123,198,189,191,190,85,92,98,112,125,132,143,142,203,176,165,142,122,80,113,148,80,117,150,101,96,149,108,132,202,189,192,192,86,92,99,113,127,134,139,152,204,154,145,156,126,99,59,87,53,81,125,92,102,156,120,79,156,200,192,194,86,93,100,115,129,136,137,162,203,160,129,147,119,106,53,39,72,107,107,106,136,122,96,84,105,198,193,195,87,94,100,117,129,135,137,165,219,173,140,119,106,90,48,63,121,164,168,160,151,124,118,103,117,200,194,195,89,94,102,120,130,138,138,172,218,174,154,117,90,91,76,109,165,186,183,167,147,120,112,93,150,203,194,196,90,95,103,122,131,139,138,176,214,181,159,125,109,133,126,169,194,193,184,158,134,118,99,93,182,199,196,197,90,96,104,122,129,139,141,170,205,176,153,128,128,134,132,191,190,192,181,145,124,114,91,122,202,195,197,198,90,96,105,123,129,139,144,160,200,171,151,134,130,122,143,181,182,188,165,134,117,107,90,168,202,195,198,197,90,96,107,124,131,140,147,154,195,168,156,149,135,136,162,177,182,174,148,127,111,95,110,199,198,198,198,199,92,97,108,125,133,142,148,150,182,174,166,162,147,140,162,170,169,149,128,115,106,89,150,205,197,199,201,201,92,97,110,126,134,141,148,149,171,184,165,155,142,127,134,152,150,132,114,106,98,108,193,198,198,199,202,201,93,97,111,125,132,141,148,152,164,192,158,148,134,120,121,131,125,117,105,106,90,157,204,197,200,201,201,201,93,97,113,127,132,142,147,154,159,196,174,146,124,116,126,123,123,117,105,96,113,198,196,199,201,202,202,202,93,98,114,127,133,143,149,155,157,195,190,153,137,136,140,121,124,118,102,83,153,204,196,201,202,202,203,204,94,100,115,127,134,142,150,152,170,210,202,162,153,145,141,119,114,105,97,74,164,205,198,201,202,203,204,204,93,99,116,128,135,145,146,174,203,189,221,171,161,144,136,118,105,95,94,71,167,205,197,202,202,203,204,205,94,100,117,128,136,145,149,207,218,167,189,172,160,140,131,112,94,95,92,75,177,204,199,202,203,203,204,205
16,105,105,106,107,108,119,131,141,151,159,166,172,175,176,179,184,188,193,197,201,204,207,209,212,214,216,219,221,104,104,106,106,108,120,131,142,151,158,167,173,174,176,178,182,187,193,198,202,204,207,210,213,215,217,220,222,103,103,105,105,107,119,131,142,149,158,166,172,174,173,178,181,185,191,196,200,203,206,208,212,215,217,220,221,102,103,106,105,107,121,130,141,151,160,167,172,173,174,174,184,189,191,194,200,203,206,207,211,216,217,219,221,103,102,105,105,109,120,131,141,150,155,163,165,189,195,164,149,171,196,201,198,201,206,210,212,215,217,220,223,102,102,104,103,108,120,130,142,145,166,176,192,213,191,166,141,119,132,173,203,208,207,209,211,216,218,221,221,101,102,103,102,106,117,131,131,165,223,209,211,198,169,150,147,128,107,98,133,182,204,213,216,216,217,220,221,101,102,103,102,105,119,127,135,218,217,196,186,178,160,143,127,125,118,104,97,103,128,157,186,213,222,219,221,99,101,102,101,105,115,126,213,218,182,174,168,156,146,126,115,119,124,109,107,102,97,98,107,139,190,221,226,98,100,102,99,106,101,171,223,180,168,159,145,132,120,113,114,107,131,118,114,108,102,98,96,95,107,152,206,93,93,94,93,95,153,186,175,162,154,136,122,113,105,110,99,98,127,126,134,112,106,98,95,97,97,93,115,142,136,139,132,163,207,167,155,149,129,114,108,97,100,105,76,100,130,134,137,117,111,97,95,93,97,99,93,133,137,137,135,226,207,171,141,120,111,104,92,88,101,84,62,115,131,135,138,122,114,101,99,93,94,96,97,130,135,117,168,229,193,154,120,94,92,84,79,90,83,52,60,119,128,134,149,137,126,108,102,92,92,95,93,139,134,142,219,202,172,126,99,82,88,72,61,56,47,39,47,115,124,140,164,156,136,122,95,90,94,93,90,141,125,191,200,166,137,103,85,78,80,55,38,36,34,36,38,103,125,146,175,145,141,130,90,89,90,89,87,131,157,212,172,129,102,88,81,82,80,63,36,31,33,33,31,78,118,167,165,121,143,129,86,88,85,88,87,131,208,195,143,103,78,78,84,88,89,90,71,36,39,45,47,42,140,187,138,112,133,110,86,88,86,88,84,173,196,149,107,88,107,91,90,93,95,93,87,67,69,71,55,83,193,163,119,108,108,90,85,85,86,83,81,202,146,109,76,114,134,106,115,105,102,97,88,82,82,78,62,166,184,141,107,95,87,81,86,84,82,84,89,158,111,77,99,131,112,111,111,108,102,97,89,81,80,60,109,204,166,123,93,84,79,80,82,78,83,90,90,115,83,101,136,137,131,129,113,100,94,98,84,83,96,101,174,206,169,103,82,79,81,83,81,83,88,87,87,120,120,135,136,139,139,137,137,129,124,130,126,129,139,133,206,209,174,99,66,74,87,85,84,85,86,88,89,140,138,136,136,138,138,137,139,139,140,139,140,140,139,134,208,214,179,112,74,119,101,96,91,90,92,91,91,136,134,135,136,138,137,137,138,137,137,139,139,139,140,130,182,199,166,103,122,166,112,106,106,104,102,94,91,136,136,135,136,138,137,136,137,138,139,138,138,140,142,134,148,173,133,100,130,175,154,118,111,115,116,107,95,137,136,135,135,138,137,136,136,137,137,136,137,140,139,138,138,144,118,115,132,155,190,152,137,133,132,121,110,135,136,136,136,137,138,137,137,137,137,138,138,140,139,140,140,139,139,140,135,137,202,177,160,150,142,132,120
8,205,207,205,206,208,207,208,208,207,208,208,207,209,210,208,209,209,209,208,207,205,205,205,205,203,203,203,202,206,207,207,209,210,209,209,210,209,209,209,209,194,200,212,210,211,211,210,210,208,207,207,206,204,203,204,203,209,209,209,210,211,210,210,211,210,211,208,222,177,161,219,210,212,212,211,211,211,210,209,208,208,206,205,205,210,210,211,211,212,212,211,211,212,211,212,225,158,160,222,212,213,214,213,212,212,212,211,210,209,208,207,206,211,212,212,212,214,214,213,212,214,211,221,221,131,175,222,213,214,216,215,212,213,213,212,211,210,209,208,207,212,212,213,213,215,216,215,215,216,212,228,218,124,188,222,215,216,216,216,215,215,213,212,212,212,211,210,209,213,214,214,215,216,216,216,217,217,212,234,203,127,205,222,216,217,217,216,216,216,216,215,215,212,212,212,212,215,215,215,216,216,216,216,217,217,216,236,177,134,217,217,219,221,217,222,220,214,216,216,217,216,212,213,213,216,216,217,217,217,217,217,217,216,222,232,173,136,229,214,176,200,220,191,205,224,218,221,210,210,216,214,215,216,217,218,218,218,218,218,219,215,228,230,182,144,247,225,175,155,218,164,149,175,178,198,190,144,211,216,214,217,217,218,218,218,218,218,220,215,233,228,180,180,255,232,202,142,195,186,141,127,159,182,185,104,204,221,214,217,217,219,219,219,219,220,219,218,234,223,180,207,255,245,215,137,169,189,143,188,167,195,198,109,203,220,215,216,217,219,219,219,219,219,218,225,225,210,205,208,234,250,213,142,151,176,155,206,164,199,212,142,187,227,215,216,216,218,218,219,219,220,220,231,199,204,215,203,197,249,217,149,127,159,178,194,154,192,212,180,148,223,219,216,216,218,217,219,219,219,221,233,188,183,207,188,190,236,225,154,106,141,187,184,130,174,216,174,118,208,222,217,217,218,218,219,219,218,222,240,187,153,178,171,162,218,224,146,98,132,188,173,117,189,202,139,137,225,217,217,218,218,219,219,220,218,227,250,198,142,155,146,141,181,220,173,96,123,198,163,131,199,164,112,189,226,217,217,218,219,219,219,220,219,236,250,217,140,146,145,142,166,208,190,97,119,183,140,175,170,120,133,225,218,218,217,218,218,218,219,221,222,239,246,228,154,128,145,139,158,197,149,121,186,195,179,203,153,100,186,227,218,221,217,217,218,218,219,219,220,242,245,237,158,133,155,141,179,221,202,214,211,196,173,176,149,101,212,224,220,221,217,219,221,224,226,226,223,242,245,233,158,144,156,156,215,233,233,226,206,195,161,142,120,134,228,221,222,223,144,149,153,155,158,155,179,246,242,226,163,171,150,185,240,239,235,229,211,185,151,122,101,190,229,220,216,212,112,112,113,112,112,105,133,252,243,226,185,178,157,187,245,244,239,219,201,169,137,111,108,131,131,137,162,199,121,122,122,123,122,122,127,238,244,232,196,179,174,179,246,248,226,202,187,149,122,106,108,123,156,197,222,224,123,122,121,121,121,123,115,225,242,224,193,180,176,180,250,236,213,186,164,132,107,125,180,214,234,231,231,225,122,121,120,121,123,124,120,226,231,209,190,180,170,197,240,215,198,162,140,119,94,213,250,212,203,206,210,222,120,120,120,121,121,119,134,235,221,202,188,182,177,205,212,202,179,143,136,105,132,216,231,233,210,193,199,201,120,121,120,120,123,113,149,241,211,199,192,186,185,201,200,192,166,136,130,112,198,204,191,214,224,196,165,161
19,163,163,166,166,165,165,165,164,164,164,164,163,163,162,162,162,161,160,159,159,158,158,157,156,155,154,153,152,164,164,165,165,165,165,165,165,165,165,165,164,164,163,162,162,162,161,159,159,158,158,158,156,156,156,154,153,165,166,165,166,168,168,167,169,169,165,166,166,165,164,163,163,163,162,161,160,160,159,159,158,157,155,154,154,165,167,168,168,168,169,161,149,155,171,165,167,166,164,164,164,163,162,162,160,160,160,159,158,157,156,155,154,167,168,168,170,165,183,177,151,118,148,172,166,167,165,166,165,164,163,162,161,161,161,160,159,157,157,156,155,168,169,169,170,167,175,198,173,138,99,161,171,167,167,165,165,165,164,163,163,162,161,161,159,158,158,157,155,170,170,170,171,170,169,195,183,151,95,116,177,167,166,165,166,166,164,163,163,162,162,162,160,159,158,157,156,171,171,171,171,171,166,189,181,143,102,90,169,169,168,167,166,166,166,163,162,163,162,162,161,160,159,157,156,173,172,173,173,170,187,185,165,142,102,86,164,174,172,170,168,167,167,165,163,165,164,162,162,162,160,158,157,172,173,174,170,195,210,184,161,162,152,136,155,157,163,170,171,169,168,167,165,163,164,163,163,162,161,159,158,175,175,171,182,204,174,145,139,156,181,186,174,159,149,142,153,164,169,169,165,164,165,164,163,163,161,159,158,175,175,173,206,200,178,136,104,115,156,183,189,187,180,157,148,141,152,158,166,168,167,165,164,163,162,161,159,177,172,195,211,192,178,161,135,113,123,145,162,173,180,178,177,172,170,149,138,149,162,170,165,163,162,162,160,176,177,204,192,170,159,154,155,160,148,137,133,131,139,154,166,177,187,180,155,139,121,141,164,166,162,161,159,173,193,212,189,154,135,137,127,159,173,162,151,132,106,107,139,142,156,163,164,158,137,128,144,155,164,162,161,178,213,217,188,163,150,147,144,140,156,172,168,152,124,109,143,171,159,151,144,144,146,152,144,130,168,162,162,192,216,203,181,165,163,166,168,162,127,122,151,152,140,130,111,170,177,174,170,161,152,144,140,155,167,163,163,206,210,191,167,147,157,182,176,179,138,107,129,117,131,134,121,171,174,174,173,174,173,168,168,167,164,164,163,206,210,189,155,135,114,148,175,191,164,145,128,118,107,108,156,177,174,174,173,171,170,169,169,166,164,164,162,214,215,180,157,147,143,135,138,128,170,175,139,134,111,151,180,174,174,174,173,172,170,169,168,168,166,164,162,216,203,177,161,156,155,154,143,129,148,156,152,122,136,182,175,175,175,175,173,172,170,170,169,169,168,166,163,208,197,182,168,164,162,153,140,131,129,121,111,144,176,179,177,177,175,175,174,173,172,171,170,169,167,166,164,206,190,175,163,158,164,156,143,130,134,119,140,184,179,179,177,178,176,175,174,173,173,172,171,170,169,167,164,201,188,172,144,127,128,133,134,131,128,137,180,181,179,179,178,176,175,174,174,174,173,171,170,169,168,167,166,189,173,150,120,104,89,132,153,144,161,182,184,184,183,183,182,179,179,179,179,178,175,171,169,171,175,174,167,171,147,121,113,103,96,157,170,166,166,162,162,161,160,160,160,160,159,161,155,150,160,173,180,179,168,163,156,142,125,113,110,106,104,104,101,99,98,98,99,98,96,96,97,97,96,90,108,144,172,175,166,160,166,169,140,122,113,110,107,109,107,104,104,101,99,100,100,99,98,97,97,96,93,137,184,177,168,159,162,149,168,191,146
17,146,150,151,153,156,156,157,158,159,159,161,161,163,164,166,166,166,168,168,167,169,170,170,169,170,171,170,171,148,150,152,154,155,155,157,159,161,161,162,163,164,165,167,167,169,170,169,169,170,170,170,170,172,171,172,171,148,150,153,154,156,157,158,159,162,162,164,165,165,166,168,169,170,171,173,173,171,175,171,172,172,172,173,173,148,150,153,156,158,158,159,160,162,163,164,167,168,168,169,171,172,164,142,158,131,149,178,173,174,174,173,173,150,151,153,156,158,159,161,162,164,165,166,167,168,170,171,172,174,176,136,103,99,121,182,173,175,174,174,174,150,152,155,157,159,161,163,163,165,167,168,169,169,170,172,172,172,192,156,103,75,132,182,174,176,176,175,174,151,154,156,158,159,162,164,164,166,167,167,169,170,170,172,174,171,191,166,122,70,142,184,175,177,177,175,175,151,154,155,158,161,163,164,165,165,167,169,170,173,175,172,175,172,192,179,137,85,163,181,177,177,177,175,175,153,156,157,159,160,163,164,166,167,167,168,173,160,152,179,175,172,196,178,139,104,176,179,178,177,178,178,176,154,156,158,160,162,164,165,167,169,170,170,174,165,123,138,180,180,198,172,137,107,177,180,179,179,179,179,178,154,157,159,160,162,163,166,167,167,166,167,183,169,148,123,144,165,191,174,137,105,176,181,180,180,180,180,179,155,158,158,160,163,165,164,172,180,153,123,159,184,179,180,142,98,138,164,140,107,174,182,181,181,181,179,179,155,157,159,163,165,166,163,182,189,153,115,156,164,187,190,168,115,93,137,130,103,169,184,181,182,181,179,180,155,158,161,164,165,166,169,181,156,173,145,143,127,128,196,184,145,92,105,115,95,167,186,182,182,180,180,181,156,159,161,164,165,166,169,190,143,131,129,92,85,73,188,198,165,106,88,98,89,165,186,182,183,182,182,181,157,159,162,163,167,166,177,177,137,119,128,102,98,95,168,213,176,127,87,97,86,157,188,181,183,183,183,182,157,159,162,165,168,165,181,184,163,147,138,116,127,129,149,219,177,142,96,93,88,149,190,182,183,184,184,183,157,159,162,165,168,165,191,176,146,140,133,124,145,150,180,198,177,151,105,88,82,150,191,183,185,184,184,183,158,159,162,165,168,171,192,161,141,133,130,141,142,188,215,179,163,149,104,82,74,149,192,183,186,184,184,184,158,160,163,167,167,175,197,165,149,135,134,143,163,215,205,182,156,139,102,80,75,158,190,183,185,184,184,184,158,161,165,168,166,180,201,169,156,136,137,146,193,211,193,178,149,133,98,82,80,176,186,183,185,185,184,184,159,163,165,168,164,185,202,173,163,145,136,165,210,205,190,170,138,128,96,76,103,191,184,184,186,186,185,184,160,162,167,169,163,192,203,175,169,161,139,174,213,195,186,172,134,116,95,70,142,193,184,186,185,184,184,183,160,164,167,170,164,193,209,179,177,173,150,173,205,185,179,168,136,106,89,83,178,188,185,186,185,185,185,184,162,165,167,169,165,186,211,186,181,175,163,163,197,181,179,160,133,104,78,118,195,183,186,185,185,186,185,185,160,164,166,170,167,178,209,193,179,169,168,163,184,176,179,168,128,102,74,137,196,183,185,185,185,186,186,185,161,164,166,168,171,173,205,189,177,165,164,168,177,167,180,171,128,100,77,157,194,185,186,186,186,186,187,186,161,164,167,169,170,175,204,183,176,164,160,165,175,164,178,162,123,97,93,183,189,186,187,187,187,186,186,186
14,131,136,140,143,147,149,151,153,156,158,160,162,165,165,165,165,168,169,171,172,173,173,174,175,175,175,176,176,133,137,141,145,148,151,153,155,157,159,162,164,167,167,169,170,173,173,173,174,173,175,175,176,176,176,177,177,134,138,143,148,149,151,154,157,158,159,161,162,163,171,148,144,158,161,174,178,179,177,177,177,177,176,179,179,136,139,144,148,150,152,155,159,160,158,167,170,171,162,106,97,144,150,167,144,156,183,178,177,177,177,179,179,136,139,143,147,150,154,156,158,160,178,180,162,139,120,101,91,131,155,145,92,125,190,177,181,181,181,181,181,137,141,145,149,151,155,156,161,191,192,158,101,79,85,100,97,109,118,115,82,81,174,183,181,183,182,182,182,138,142,147,151,154,156,155,197,197,160,119,72,50,58,81,95,124,116,123,129,104,138,179,182,184,184,182,183,138,142,147,151,155,153,166,209,154,101,68,76,66,81,92,62,83,107,113,143,152,120,131,191,182,184,184,184,140,144,149,152,156,151,191,194,122,69,62,74,68,100,90,70,92,107,120,109,116,87,93,189,185,184,185,185,141,146,150,152,154,159,209,169,112,61,59,59,61,81,68,95,113,74,116,135,125,114,102,128,191,188,185,187,141,146,149,153,150,179,204,143,81,56,66,73,72,59,64,103,100,88,176,192,179,143,121,98,145,180,188,186,142,148,150,155,153,200,178,120,83,79,73,79,76,78,82,72,89,165,189,183,187,188,152,146,111,168,192,187,142,148,152,152,170,212,167,123,103,80,72,76,76,85,91,66,145,195,183,184,190,172,159,143,107,189,188,189,142,148,153,150,197,209,161,119,91,75,70,70,74,85,78,98,188,184,186,187,188,160,162,110,136,199,187,189,142,148,153,151,204,195,152,118,81,68,68,72,79,82,65,120,194,181,187,190,183,153,155,92,141,201,189,190,143,149,154,153,210,191,143,103,72,68,71,76,81,71,62,100,188,189,189,188,144,148,150,96,122,201,188,191,144,150,151,162,215,179,143,106,76,71,75,79,84,82,90,95,133,178,180,159,156,158,146,94,134,201,189,190,145,151,149,175,217,175,141,104,79,69,73,86,89,98,114,124,114,110,137,159,169,162,120,121,190,192,190,190,145,152,146,188,213,171,139,103,80,72,75,85,96,110,124,134,137,125,158,164,163,132,125,192,194,191,191,191,145,152,147,198,204,170,140,109,86,74,77,89,110,125,138,138,140,135,152,159,125,123,191,196,193,194,192,192,145,151,150,206,196,167,139,113,92,77,76,99,128,141,150,149,139,135,130,122,110,187,196,193,194,194,193,192,145,150,155,206,187,164,137,118,96,79,77,108,144,148,148,148,144,132,96,99,181,195,191,194,194,194,194,194,146,149,163,203,178,158,141,123,99,82,78,117,150,144,145,144,144,107,105,181,196,191,193,195,195,195,194,194,148,148,169,199,170,159,148,125,106,88,83,116,150,144,129,138,118,106,188,197,191,194,195,195,195,195,194,194,147,146,181,201,172,167,151,126,108,96,81,105,138,131,118,119,102,175,198,192,194,194,195,195,195,195,195,195,146,146,198,201,178,172,150,126,108,94,81,96,121,113,118,90,162,197,191,194,194,194,195,195,195,195,195,195,146,154,212,194,186,170,137,116,102,85,83,96,103,96,110,159,197,189,192,195,195,195,196,196,196,196,196,196,140,174,211,183,181,158,118,105,93,84,91,92,84,100,167,197,190,191,192,195,196,196,196,196,196,196,196,196
6,220,221,221,220,221,221,220,220,220,219,219,218,215,214,213,210,209,207,207,205,204,202,200,197,197,195,190,188,222,223,223,222,223,224,222,222,223,223,222,221,219,218,216,214,213,211,210,208,206,205,204,201,199,197,195,192,223,225,225,224,224,225,225,224,225,226,224,222,222,221,219,217,216,215,214,211,208,207,206,204,202,198,195,194,226,226,227,227,227,227,228,230,229,228,227,225,224,222,221,220,218,218,216,214,213,213,212,210,206,203,199,196,228,228,229,230,230,229,229,231,230,229,228,228,228,228,227,226,224,221,216,209,205,202,194,187,189,187,199,202,229,229,231,231,230,231,232,232,236,237,234,226,224,218,207,197,188,170,149,153,162,162,144,152,214,193,170,206,231,231,232,231,230,232,234,235,218,190,177,166,168,165,160,150,150,145,127,153,151,139,142,142,180,153,155,209,232,233,234,232,232,236,228,204,176,151,147,155,159,170,170,165,144,129,115,106,97,104,109,101,117,153,198,207,235,235,235,236,236,215,193,188,177,145,118,128,137,128,111,106,85,79,99,130,154,177,189,204,216,218,212,208,236,236,239,237,200,180,186,182,164,137,90,74,50,89,167,175,184,192,217,234,233,229,226,222,217,214,212,212,236,240,236,195,176,183,186,182,179,169,130,68,31,77,170,211,241,241,230,227,224,222,221,221,219,217,215,213,243,237,200,182,189,194,194,194,197,177,107,52,51,43,37,45,79,213,235,229,230,226,225,224,221,219,217,215,219,189,189,200,198,199,196,183,189,134,56,41,45,51,56,53,23,118,249,229,231,229,226,224,222,221,218,215,183,189,202,200,196,197,177,171,178,132,89,50,22,39,48,55,47,32,209,240,230,230,227,225,223,220,219,215,190,196,201,203,200,183,171,179,180,184,160,88,34,33,32,32,46,122,229,233,230,231,229,225,224,222,220,218,193,195,203,203,192,173,172,176,173,180,147,72,43,43,48,25,162,255,233,233,232,231,230,228,225,224,221,219,192,201,203,189,175,170,168,163,159,154,110,47,32,38,49,14,158,253,233,236,232,230,231,229,227,225,222,220,195,193,178,175,177,171,169,155,139,140,127,73,21,31,26,102,230,236,233,233,232,229,229,226,223,221,217,217,181,166,163,172,165,154,142,133,138,158,165,100,41,51,23,172,255,234,233,231,231,230,229,224,225,226,228,220,166,166,166,155,137,131,131,140,150,163,149,81,43,39,16,177,250,234,232,232,231,230,230,233,217,190,144,99,166,163,150,138,132,133,133,126,122,118,78,33,45,57,153,244,239,247,247,242,235,232,233,170,83,48,37,34,149,134,119,129,132,129,109,84,66,51,46,130,206,233,249,245,235,194,177,118,100,101,87,46,40,44,25,32,103,73,65,91,103,95,71,55,59,111,180,250,244,239,239,236,130,68,55,14,25,24,18,29,22,35,23,7,50,30,49,77,80,76,69,76,96,121,124,113,116,123,121,92,57,48,47,27,8,31,14,21,12,17,17,0,34,54,115,111,112,113,112,110,109,104,102,102,83,67,49,38,36,33,19,34,0,19,10,8,11,13,5,0,30,91,131,117,119,126,120,114,121,120,122,104,52,30,39,32,22,24,19,26,3,2,8,3,8,12,0,5,37,103,114,111,114,115,111,109,112,106,83,43,34,13,24,30,16,15,13,16,9,0,4,2,7,10,0,6,49,111,111,112,117,114,111,112,103,75,56,16,25,16,9,27,10,10,5,8,11,0,0,2,5,7,0,5
10,97,105,120,139,147,154,159,160,162,165,166,168,168,169,170,169,168,168,167,165,166,166,161,160,159,158,155,153,98,106,121,141,149,156,159,162,164,167,168,170,170,170,171,172,171,170,169,170,155,154,166,162,161,159,157,154,99,108,122,141,151,157,161,164,166,168,171,172,172,173,173,173,173,173,171,177,141,110,169,164,164,161,159,157,100,109,124,143,152,158,163,165,166,169,172,173,174,175,176,175,175,175,173,179,145,102,164,168,165,164,161,159,102,110,126,144,153,159,165,167,168,171,174,175,176,177,178,178,178,177,175,181,141,98,161,172,167,167,164,162,103,111,127,146,154,162,167,168,170,173,175,176,178,178,179,180,180,180,178,182,141,97,162,175,170,169,167,165,105,112,129,147,156,163,168,170,171,175,178,178,180,180,181,183,181,181,179,186,149,100,161,177,171,171,169,166,106,113,129,147,157,164,168,169,172,177,180,180,180,182,183,184,184,182,182,187,143,95,161,179,173,172,169,167,106,113,131,148,157,164,169,171,173,178,180,181,183,183,184,185,187,186,187,169,112,91,164,180,175,174,171,169,107,114,131,149,158,165,169,172,174,179,181,183,184,185,185,185,183,173,190,153,86,97,172,181,177,175,173,169,108,115,133,149,158,165,170,173,175,179,183,184,185,186,189,191,179,147,138,128,88,85,179,180,178,176,173,171,108,116,134,149,159,166,171,173,176,181,184,185,186,186,173,180,190,173,131,87,91,79,163,184,178,177,174,173,109,117,136,150,160,167,171,174,178,182,185,186,190,183,143,118,117,144,101,77,93,75,129,192,178,178,176,174,109,118,137,150,160,168,172,175,178,182,186,183,176,189,161,125,57,64,64,102,106,72,120,193,179,179,177,175,110,118,137,150,161,169,173,176,179,182,188,175,135,145,179,139,78,60,63,124,144,83,112,192,180,180,178,176,110,119,139,151,161,168,174,177,180,182,189,183,165,126,163,148,101,60,69,125,163,99,101,191,183,181,179,177,110,119,139,151,162,168,175,177,181,185,188,165,172,142,134,146,105,57,82,146,161,109,86,183,185,181,179,177,111,119,138,151,162,169,174,177,181,184,192,164,138,131,97,137,116,77,113,160,145,105,83,181,186,182,181,178,111,119,139,152,162,169,175,177,181,185,189,169,134,120,102,129,153,108,130,164,121,88,94,190,186,184,181,178,111,120,140,152,162,169,176,178,181,185,187,188,162,121,115,117,151,108,131,152,114,75,109,195,184,184,182,179,110,120,140,152,162,170,177,178,182,185,185,190,174,144,121,109,151,152,149,135,112,68,124,199,185,184,183,181,109,120,140,151,161,169,175,176,180,185,186,181,173,155,137,123,164,181,151,124,105,66,141,197,185,183,181,180,108,118,138,149,160,168,174,176,180,183,188,173,165,157,147,133,157,172,143,115,96,64,160,193,184,182,179,179,107,117,138,148,159,167,173,175,180,184,187,185,165,161,152,133,147,160,132,105,80,74,184,186,184,183,180,178,103,113,135,145,157,165,171,174,178,182,185,189,174,158,146,129,129,140,118,97,64,115,197,184,184,182,180,179,115,125,143,153,163,170,176,178,181,185,188,190,190,164,140,126,121,131,123,96,66,158,191,182,181,178,176,174,139,142,146,146,140,139,139,138,138,137,137,133,145,173,145,143,134,131,126,92,72,111,116,113,111,111,110,103,109,108,108,108,108,108,109,109,110,109,109,107,117,177,161,155,138,130,114,88,72,97,99,97,96,90,61,44
8,189,191,193,193,195,195,197,197,196,196,196,196,195,195,195,194,194,194,194,191,191,190,190,189,189,188,186,184,190,193,195,196,197,197,198,197,198,197,197,197,197,196,196,197,196,195,195,193,193,192,191,191,191,189,187,186,193,195,196,197,198,199,200,199,200,200,200,199,198,199,197,198,197,197,196,195,194,194,193,193,192,190,188,188,195,196,197,200,201,200,200,201,201,201,201,201,198,194,200,198,197,197,198,197,196,195,195,194,194,192,189,189,196,198,199,200,202,202,202,202,203,203,198,210,211,155,191,203,200,198,198,198,197,196,196,195,194,193,191,190,198,201,202,201,202,203,203,204,204,204,199,222,200,130,181,206,200,201,200,200,197,198,196,196,195,193,194,193,200,201,203,203,203,204,205,206,205,205,202,226,177,125,191,206,202,203,202,200,199,198,197,196,196,195,195,194,201,202,204,205,205,207,207,207,207,206,208,227,166,128,203,207,204,203,203,201,200,200,199,199,197,197,196,195,203,203,205,206,206,207,208,208,209,206,215,230,164,139,206,206,205,203,203,203,201,201,201,200,198,197,196,196,205,205,206,207,209,209,210,210,211,206,221,217,146,144,209,206,207,206,205,203,203,202,201,200,199,199,197,197,205,207,208,209,210,211,211,212,212,207,226,215,147,154,213,207,206,203,208,204,202,203,203,202,200,200,199,198,207,209,209,212,213,213,213,214,215,208,234,213,170,169,209,208,219,165,174,214,207,207,202,202,202,202,200,198,208,210,211,212,214,215,216,215,215,212,234,207,182,177,216,226,221,171,132,161,163,195,210,207,203,203,202,200,209,211,213,214,214,214,215,216,216,215,232,213,196,187,229,227,221,200,162,115,116,129,195,186,208,203,203,202,211,213,215,216,216,217,217,219,215,226,241,208,195,201,222,207,215,216,181,171,142,108,138,114,154,212,201,203,213,214,216,218,218,219,219,220,216,236,226,193,188,183,220,195,154,207,199,196,160,111,113,114,96,193,207,202,214,216,218,219,219,219,221,216,224,233,195,166,176,167,208,180,127,134,201,187,156,109,87,107,93,164,216,203,216,218,219,221,221,220,221,219,243,234,204,170,152,143,201,199,164,94,215,199,163,116,84,100,101,191,212,204,216,219,220,221,222,223,220,233,250,226,196,169,154,130,195,204,148,100,197,212,164,118,94,87,149,217,207,208,216,219,222,222,223,224,221,247,246,219,187,165,157,120,127,172,150,141,199,218,166,120,88,135,214,211,210,209,219,219,221,222,225,223,229,252,232,203,193,177,156,129,194,221,213,209,200,203,162,111,126,219,214,213,213,210,220,220,222,224,224,226,240,248,223,211,196,163,148,203,242,229,205,213,188,172,154,115,132,227,213,215,214,211,220,221,224,224,231,206,239,247,221,218,186,155,199,238,228,213,186,200,177,147,150,111,158,225,214,214,214,213,221,222,225,226,231,134,162,251,225,218,173,194,232,236,219,204,183,187,176,129,129,110,215,220,216,216,215,214,221,223,224,235,167,113,107,157,218,208,178,200,223,226,213,201,172,174,166,126,95,162,231,218,219,217,215,214,222,223,233,203,118,113,115,104,125,164,168,193,207,214,204,189,167,170,142,103,105,221,222,220,220,219,217,215,222,228,220,131,114,112,108,116,89,77,107,122,147,175,181,172,165,148,113,86,190,231,221,222,221,220,219,216,223,226,156,111,114,109,106,107,109,64,81,85,82,88,105,117,118,105,83,158,233,222,223,223,221,220,218,215
20,159,163,166,170,172,175,177,178,180,181,183,183,183,182,186,187,185,187,187,187,187,188,188,187,187,187,186,184,163,167,171,174,176,179,181,182,185,187,187,187,185,202,164,174,194,189,189,190,190,191,192,191,193,191,189,188,166,171,174,177,180,183,186,187,189,189,191,191,192,228,143,137,192,193,193,194,194,194,196,195,195,194,192,191,170,174,179,181,184,188,189,191,192,194,195,194,199,228,147,124,159,159,205,197,198,198,199,198,198,197,195,194,174,178,183,186,188,190,193,194,196,197,199,199,203,225,143,148,182,124,207,201,201,200,201,202,201,200,199,198,178,181,186,188,192,194,196,197,199,200,202,202,207,227,148,163,197,116,198,207,204,204,205,205,205,203,202,201,180,184,188,192,196,197,199,201,203,204,205,203,212,233,154,164,210,120,192,213,208,208,209,208,207,207,206,204,182,187,191,195,198,201,203,205,206,207,209,205,219,230,154,163,223,129,182,218,210,211,212,211,211,211,210,208,186,189,193,197,200,204,206,209,211,211,211,208,229,233,159,170,224,137,169,223,212,215,215,214,214,214,212,211,188,191,196,200,203,206,209,211,213,215,212,182,218,248,157,176,235,146,161,228,215,218,218,218,218,217,215,213,190,194,197,202,205,209,212,212,207,222,238,185,167,192,135,161,241,155,160,230,217,220,220,220,219,219,218,216,193,198,201,204,208,212,214,220,208,187,236,213,141,116,100,143,208,155,157,231,220,224,222,222,221,221,221,219,195,199,204,206,210,215,215,227,237,183,186,213,170,163,133,129,171,150,152,234,223,226,225,225,224,224,223,221,196,201,205,210,213,217,220,217,213,187,150,202,191,206,187,122,123,138,141,233,225,227,226,226,226,225,225,225,199,203,207,211,215,219,221,215,179,184,133,213,192,197,192,132,96,106,137,236,225,228,229,228,229,228,226,226,201,206,210,212,216,220,221,223,215,186,156,160,145,111,194,163,110,84,129,236,228,232,232,232,231,229,228,227,201,206,210,215,218,222,223,234,207,152,114,82,83,68,169,202,139,91,108,235,233,233,234,234,233,232,230,229,203,207,211,216,219,225,226,233,210,170,132,112,111,116,191,234,172,116,99,224,237,233,235,235,234,233,233,232,205,208,212,217,220,224,225,235,227,176,140,130,146,198,247,223,176,139,104,220,240,235,236,237,237,236,235,234,205,210,214,218,222,226,226,236,231,187,152,154,168,232,247,211,160,127,109,231,240,236,237,238,237,236,236,235,205,212,216,219,224,228,226,237,240,207,177,163,175,242,228,194,147,109,115,239,239,238,240,240,239,238,237,237,207,212,218,221,226,228,227,236,246,216,181,175,180,243,221,178,139,106,119,242,240,242,242,242,240,241,240,237,208,213,218,222,226,228,229,230,239,212,195,200,182,238,215,163,127,102,131,245,240,243,243,242,242,242,241,238,207,212,217,221,225,227,229,228,222,214,196,202,174,227,197,154,120,95,145,251,239,241,242,243,242,243,241,240,208,213,218,222,225,227,228,229,226,214,195,198,160,202,174,137,121,92,168,251,239,241,242,243,243,242,241,241,210,214,218,222,224,228,229,228,231,219,187,174,137,178,154,132,122,100,215,247,241,242,243,243,243,242,241,241,209,215,219,222,225,227,230,226,233,221,190,157,145,186,143,141,106,147,248,241,243,243,244,244,243,243,243,242,210,215,220,222,225,227,231,226,236,231,204,178,172,185,133,135,95,208,246,241,243,244,246,244,244,244,243,242
24,162,166,170,172,175,176,178,180,181,183,184,187,187,188,189,192,192,193,196,196,196,197,197,197,197,198,198,199,162,166,169,171,174,176,178,181,182,184,184,187,188,189,191,193,193,194,196,196,197,198,199,198,199,200,201,201,163,167,169,172,175,177,179,181,183,186,186,188,191,191,192,194,194,195,197,197,198,199,200,200,201,201,201,201,164,168,170,173,175,177,180,182,184,186,187,190,191,192,194,196,195,195,197,199,200,201,201,202,202,202,202,202,164,169,171,174,175,178,181,182,185,187,188,190,192,193,194,196,197,196,198,200,201,202,201,202,202,202,201,201,165,168,172,175,178,179,181,183,186,188,189,190,193,193,194,195,199,200,200,201,201,202,202,202,202,202,203,202,167,167,180,173,157,182,181,184,187,189,190,191,192,192,198,197,195,189,202,201,202,202,202,202,203,204,203,204,167,166,187,187,139,174,184,184,187,189,192,193,193,176,159,198,196,160,160,205,201,202,202,203,204,204,203,204,167,168,174,190,151,148,188,184,187,190,169,188,209,183,142,176,204,171,126,164,210,202,204,205,205,205,206,204,167,170,171,186,180,146,176,186,195,203,174,163,209,188,153,165,207,176,135,120,206,204,205,207,205,206,196,178,166,170,174,179,203,176,147,182,207,216,186,156,200,196,155,150,205,171,133,105,190,209,204,204,207,200,170,143,167,171,175,174,194,190,153,162,197,224,199,162,172,206,163,134,191,158,126,96,177,211,203,206,200,187,156,130,167,171,175,177,179,192,198,181,179,209,206,167,142,188,170,126,162,149,126,97,142,214,206,192,184,175,136,149,167,172,175,177,178,190,203,195,198,205,194,163,127,160,167,124,136,165,135,102,108,188,189,178,176,150,121,189,168,172,175,177,181,181,198,199,194,201,192,162,143,138,179,141,134,194,141,109,147,159,177,179,152,116,169,213,168,172,175,177,182,180,193,210,189,174,173,173,172,135,183,170,115,178,146,169,191,176,170,158,127,147,213,206,168,172,176,178,180,181,190,208,175,166,164,172,171,148,167,160,120,171,201,200,185,170,152,139,129,206,209,208,168,172,177,179,181,183,187,216,193,175,161,162,168,182,166,160,190,207,199,192,180,164,146,123,171,214,206,208,169,173,176,178,181,186,185,218,211,187,165,157,180,194,202,213,214,203,196,187,174,157,129,135,212,209,209,209,169,173,177,179,181,186,184,216,221,194,182,166,171,191,207,223,211,202,199,186,162,141,117,174,215,207,209,209,169,174,176,179,182,184,182,210,226,201,195,184,171,192,206,219,210,205,198,179,159,128,135,211,208,208,209,209,170,175,177,179,181,184,186,195,223,211,199,194,181,189,204,213,209,201,190,176,161,119,184,215,209,210,209,209,169,173,177,180,181,184,187,188,206,215,205,191,182,188,202,208,203,191,177,168,136,150,215,208,210,210,211,209,169,173,177,179,181,184,188,188,198,218,203,191,181,190,195,197,193,181,165,147,127,201,211,208,210,210,211,212,168,172,175,177,180,183,186,187,194,207,192,189,184,186,190,194,189,178,160,126,161,218,207,209,209,209,209,211,166,171,174,176,179,182,184,186,193,197,189,197,194,194,195,191,183,172,152,122,191,211,206,208,208,208,208,208,166,170,174,176,177,181,184,184,192,209,203,209,200,199,192,186,178,166,140,128,204,206,206,207,207,208,209,209,165,169,174,175,177,181,184,183,193,222,207,206,201,197,186,181,178,159,130,138,211,205,207,206,207,207,209,208
7,141,145,150,153,155,156,157,157,157,159,160,160,160,160,159,159,159,159,158,158,157,155,159,141,161,173,168,174,146,151,154,156,159,160,161,162,162,163,164,164,163,163,161,160,160,159,159,158,157,156,156,156,167,122,178,173,152,156,159,162,164,165,166,167,167,167,168,167,166,166,164,165,165,162,162,161,160,159,156,160,151,129,182,174,158,161,164,168,170,169,172,172,171,172,172,172,171,170,169,169,167,167,165,164,163,161,161,158,165,182,168,173,162,166,170,172,174,176,177,176,177,176,176,176,175,174,174,173,172,171,170,168,168,165,163,162,163,148,127,175,166,171,175,177,179,181,181,181,181,180,181,182,180,180,179,178,178,176,175,173,172,170,167,165,165,155,149,177,171,175,179,182,183,185,185,185,186,185,186,186,185,184,183,182,182,181,180,179,177,174,172,169,168,165,165,179,175,179,184,186,187,188,189,190,189,188,189,189,188,187,187,185,185,186,183,182,180,178,176,174,172,170,173,187,180,183,187,189,192,193,195,198,200,197,196,196,195,195,195,194,193,190,187,185,183,182,180,179,176,173,173,190,184,188,191,195,198,196,189,170,154,168,174,178,177,175,172,169,178,185,191,192,192,189,184,181,180,174,176,191,187,192,196,196,194,192,182,146,96,113,142,157,149,150,148,139,130,138,146,144,161,170,183,187,182,186,184,192,192,195,193,191,190,185,177,146,118,118,124,136,135,139,141,133,112,125,130,123,133,137,164,162,191,151,153,197,190,189,189,195,194,189,179,143,108,120,124,131,127,129,137,129,113,108,113,122,128,133,158,139,172,55,114,212,194,195,195,200,197,191,173,139,91,100,117,135,143,136,140,126,125,118,127,137,120,122,123,138,145,75,70,146,200,196,195,200,194,186,172,124,94,109,114,123,122,123,125,124,119,111,122,135,125,126,125,145,160,133,68,54,198,199,197,198,199,191,189,147,87,85,82,71,104,123,112,108,108,114,121,126,119,115,113,113,130,106,69,59,203,197,194,200,191,183,197,157,84,76,81,69,98,159,207,205,210,208,185,128,69,71,71,67,69,62,61,61,195,188,187,189,175,177,178,137,92,84,87,88,76,62,179,196,135,106,70,49,49,43,42,57,54,56,60,59,189,188,182,177,171,169,168,135,87,75,88,99,95,80,70,54,40,45,59,57,48,51,47,46,50,48,58,60,183,180,173,170,170,170,181,148,83,57,44,78,88,75,73,58,51,40,54,64,49,39,49,48,46,53,48,27,171,166,172,171,170,169,167,142,84,63,54,59,82,91,95,59,49,49,36,55,60,43,34,43,46,59,25,1,162,156,156,151,147,145,131,106,86,75,68,56,34,55,63,33,35,58,41,37,53,59,40,31,37,37,32,25,152,139,124,117,114,111,109,90,80,67,41,64,29,21,46,49,27,47,53,37,41,52,53,33,33,31,34,31,138,132,111,106,97,117,122,66,41,54,18,53,50,15,35,54,39,30,52,49,38,39,51,45,28,32,31,31,109,112,117,127,164,190,80,62,40,47,28,32,59,23,19,48,52,29,41,52,42,37,36,47,31,27,32,30,102,203,210,224,228,109,49,67,52,29,37,20,49,42,9,37,54,37,34,43,46,37,31,37,40,21,28,31,55,162,151,162,122,51,61,48,38,42,29,18,30,52,12,21,49,45,37,39,40,37,30,29,39,27,19,27,37,115,113,98,71,55,50,49,23,42,35,10,17,52,26,8,40,50,39,39,36,35,28,27,30,34,18,21
4,176,178,179,180,181,181,183,183,182,182,184,184,184,185,185,184,185,184,184,185,184,184,184,184,184,184,183,182,178,180,180,181,182,183,184,184,185,185,184,184,185,186,187,186,185,186,186,186,186,186,186,186,186,186,186,185,181,181,182,183,184,185,186,186,186,186,186,185,183,186,191,178,160,164,188,188,190,187,188,188,188,187,188,188,182,182,183,185,186,187,187,187,187,186,190,171,159,168,211,187,156,116,178,188,188,190,189,190,189,188,189,190,185,185,186,187,188,189,188,188,189,191,213,190,176,148,206,196,163,127,135,161,157,165,192,192,192,190,191,192,186,187,187,189,190,190,189,189,181,185,210,210,175,153,172,203,165,132,89,157,149,119,169,193,194,194,194,193,188,189,188,192,193,191,192,199,193,182,156,197,189,160,142,209,170,132,81,160,156,123,110,196,196,197,196,196,188,190,191,192,194,192,198,211,203,188,129,127,191,150,121,207,172,128,75,160,161,123,90,191,197,198,197,198,190,192,193,194,193,194,199,195,186,172,117,98,166,143,119,168,148,108,74,163,159,117,85,191,200,200,199,199,192,194,195,196,196,196,200,197,169,172,112,81,164,150,130,134,112,83,70,156,142,96,93,197,201,200,200,200,193,194,196,197,198,196,198,200,157,169,120,85,151,162,160,147,143,117,80,123,113,87,97,202,201,203,202,201,193,194,197,197,200,199,200,213,190,158,130,94,108,168,188,187,176,153,110,85,92,85,114,205,203,204,203,203,196,196,199,199,201,201,202,214,193,159,115,78,75,139,176,188,186,156,113,76,76,79,133,207,205,204,203,205,196,197,200,201,202,200,203,211,177,139,116,95,76,72,126,168,175,151,118,87,72,78,150,207,206,205,205,205,198,200,201,201,200,200,206,205,172,139,114,94,79,78,87,112,158,157,136,101,78,73,154,207,207,207,206,205,199,200,202,202,201,201,209,212,184,150,123,107,94,88,105,101,160,179,155,117,88,72,162,207,208,208,208,206,200,201,202,203,203,203,211,211,184,140,114,106,97,87,121,156,195,200,179,140,103,77,152,210,209,208,208,208,200,202,202,203,204,204,213,210,177,145,121,107,112,102,145,195,215,206,194,154,114,92,112,213,209,210,210,210,202,202,203,204,206,206,213,207,180,146,128,120,135,113,174,214,221,202,180,145,116,96,115,213,211,211,211,211,202,202,204,205,206,207,213,205,181,152,136,137,139,130,195,217,215,197,172,133,110,90,141,214,214,213,211,211,203,204,205,206,206,206,209,203,180,156,147,143,134,139,200,216,201,176,158,119,98,84,172,213,213,213,211,211,203,205,206,206,207,208,206,200,176,154,139,154,131,142,202,211,186,157,141,108,91,88,199,214,213,213,210,211,203,205,207,207,209,209,205,197,179,156,157,171,131,140,207,202,173,144,123,98,91,112,213,215,215,215,214,214,204,206,207,207,210,210,207,193,180,164,155,172,140,137,204,181,157,130,109,92,86,153,216,216,216,215,215,215,204,205,206,206,208,210,207,199,186,169,154,164,144,142,191,165,143,115,99,91,86,191,217,217,217,216,215,216,203,203,204,205,207,207,202,211,195,170,153,147,135,128,179,154,126,107,94,91,102,207,216,216,216,216,216,216,203,204,204,205,207,201,205,216,195,167,149,131,116,118,160,134,107,100,91,86,148,213,216,216,216,216,216,216,204,205,206,207,208,197,214,209,194,178,153,121,116,130,155,105,107,94,90,103,198,215,216,216,215,215,215,215
10,46,56,66,81,101,109,116,121,123,125,126,127,128,128,128,130,131,130,129,128,127,125,125,123,121,120,117,115,47,57,67,83,102,111,117,121,123,125,127,129,130,131,131,131,131,130,130,129,128,129,125,123,123,121,118,116,49,58,68,84,103,113,119,122,125,127,128,130,131,132,134,134,133,133,131,131,131,119,125,126,124,122,120,117,50,59,70,86,105,114,120,124,127,129,130,132,133,134,135,136,136,135,135,132,139,88,89,133,124,124,122,120,53,60,70,88,106,115,121,126,128,130,133,135,135,136,137,137,137,138,136,134,142,91,73,135,127,126,123,122,54,62,72,90,108,117,124,128,129,131,135,136,137,138,140,140,140,140,139,137,143,89,69,135,129,128,127,125,55,63,73,91,110,118,125,130,131,133,137,138,140,140,143,143,143,141,142,141,149,94,70,138,133,131,129,128,56,64,74,93,111,119,126,130,131,134,138,141,142,143,144,144,144,144,142,144,131,93,71,140,135,134,132,130,57,66,75,94,112,121,126,131,134,136,141,143,143,144,145,145,147,147,148,152,76,69,69,142,137,136,134,132,58,66,76,96,113,121,128,133,134,138,142,143,144,147,147,147,148,144,134,130,69,45,74,145,138,137,135,133,59,66,76,97,113,123,129,134,136,139,143,144,146,148,150,153,155,142,115,69,58,32,81,151,140,139,137,136,59,67,78,98,113,124,130,135,138,140,144,146,148,149,147,128,140,138,94,43,38,44,62,150,141,141,138,136,62,69,78,100,114,124,131,136,137,142,145,148,151,156,142,99,73,53,35,41,59,46,41,144,144,142,140,137,63,70,79,101,115,125,132,136,139,142,147,150,141,133,153,126,70,10,13,36,111,66,39,139,147,143,141,138,63,71,80,101,115,126,132,137,140,142,146,153,136,98,108,141,92,28,20,36,123,95,40,133,150,144,142,140,63,71,81,101,114,126,132,137,140,145,148,153,149,134,91,124,100,48,13,51,125,104,39,117,155,145,144,142,63,72,81,102,116,126,134,139,141,145,149,152,121,130,88,86,101,55,20,92,125,100,36,100,159,145,145,143,64,72,83,103,117,127,134,140,142,146,148,158,126,90,82,57,110,100,56,123,114,77,35,109,158,146,145,142,64,72,84,104,117,127,134,140,143,147,150,154,136,98,77,74,104,113,65,121,103,59,31,126,156,147,146,144,64,72,84,105,117,127,135,140,143,148,150,154,159,125,86,72,75,106,99,117,92,56,28,136,157,148,148,145,64,73,84,106,118,127,135,141,142,147,150,152,160,139,110,86,84,146,144,110,83,51,34,148,155,150,148,146,64,73,85,106,117,127,135,141,144,148,152,153,144,136,120,105,95,139,134,99,75,42,44,158,154,152,149,148,64,73,86,106,117,127,136,141,144,148,151,156,141,134,125,114,98,131,126,88,65,27,64,166,153,153,151,149,64,70,84,105,117,127,136,141,144,148,151,155,152,132,127,112,93,111,108,76,54,17,103,165,152,152,150,147,62,70,83,103,115,125,134,139,141,146,149,151,156,143,123,105,89,92,99,76,47,32,145,158,153,150,148,146,61,68,81,102,114,125,134,139,142,146,150,152,156,155,129,106,102,94,102,84,37,65,164,153,151,149,147,145,61,67,81,101,112,125,133,139,141,146,148,152,156,153,138,123,118,101,99,76,33,92,165,152,151,148,146,145,59,66,80,101,111,123,132,137,139,144,147,150,153,145,149,133,120,100,83,66,29,98,164,150,150,148,146,144
6,192,193,193,194,194,195,194,194,195,196,196,197,197,196,197,197,195,196,196,197,197,196,195,195,194,193,193,193,193,193,194,196,196,195,196,196,196,196,196,197,198,198,198,199,198,198,198,198,197,198,197,196,196,195,194,194,194,194,195,196,196,196,197,197,197,196,196,197,198,199,200,200,199,199,200,200,200,200,198,198,197,195,195,196,194,195,195,196,197,197,198,199,199,199,199,198,200,200,201,202,201,201,200,201,200,198,198,199,196,198,197,197,195,196,196,196,199,199,199,199,199,200,202,200,200,200,199,194,189,190,189,191,186,178,164,164,182,179,196,199,196,197,197,198,199,199,199,200,200,199,197,194,187,186,188,181,184,187,201,200,188,178,164,155,167,150,191,200,196,197,197,199,200,201,200,196,187,180,182,183,184,196,196,183,173,174,179,172,159,142,133,136,145,165,201,201,195,196,198,200,200,198,195,189,180,170,167,172,175,170,161,145,132,126,127,139,149,160,174,187,196,201,202,201,196,197,198,196,195,194,192,192,179,159,137,128,121,110,107,109,114,149,187,201,204,206,205,204,203,202,201,201,195,195,193,189,187,189,191,191,187,170,126,95,83,88,114,150,186,206,205,206,203,202,202,203,202,201,200,200,194,188,186,187,190,187,190,194,191,160,120,90,83,89,114,198,208,203,204,203,202,201,202,202,202,201,200,199,186,186,187,187,186,190,197,196,167,121,105,89,85,91,90,114,186,209,204,203,203,202,202,202,202,201,201,200,188,189,185,187,187,193,193,193,180,152,111,83,82,98,95,85,93,178,209,204,203,203,204,204,203,202,201,201,193,190,187,189,192,191,193,203,202,173,123,84,77,91,109,105,91,96,198,207,205,206,205,204,202,202,202,201,190,191,190,188,191,196,195,206,196,154,113,87,85,84,91,98,98,81,172,210,206,206,205,205,204,203,202,202,193,192,189,188,190,191,189,195,186,144,104,86,87,87,78,79,86,104,191,211,209,208,208,208,206,206,203,201,194,189,185,183,179,182,184,188,186,156,110,76,82,91,92,89,79,148,183,186,189,191,192,192,190,190,200,205,190,187,185,184,181,184,188,195,197,168,111,79,69,80,109,91,85,100,101,104,106,107,105,113,148,183,209,210,186,191,190,187,187,191,193,200,193,153,98,83,82,74,82,95,96,100,97,97,93,116,147,179,206,207,215,217,188,188,184,183,182,178,175,182,160,126,98,88,86,82,82,101,113,104,111,126,163,206,216,199,188,194,196,207,183,176,172,173,165,156,154,154,134,114,101,96,92,82,84,97,123,173,198,205,211,201,196,195,185,177,187,192,169,170,164,156,148,142,141,136,118,102,97,97,96,89,99,148,211,224,217,208,198,183,174,176,180,172,165,169,146,150,148,138,131,123,113,111,111,101,101,99,103,136,194,226,218,205,201,196,181,167,163,163,172,167,158,162,106,112,112,109,101,96,96,100,101,102,97,133,193,225,226,220,208,196,191,194,171,150,156,157,160,163,158,157,81,82,89,92,93,98,101,102,103,95,148,208,222,218,211,203,193,191,191,190,164,133,146,152,148,157,153,150,90,92,100,102,98,100,102,101,95,155,217,204,206,193,200,194,180,185,191,191,160,121,131,143,145,150,147,153,97,98,99,99,98,100,99,96,160,216,199,188,190,190,196,183,170,174,186,189,161,115,115,133,139,143,151,147,98,97,98,98,99,98,110,172,212,202,189,178,187,188,193,175,162,163,179,190,163,117,108,124,138,145,155,139
0,159,160,162,164,165,170,170,171,172,173,174,177,179,179,178,178,179,180,181,180,179,180,181,180,180,180,179,179,159,161,165,167,169,170,171,173,173,175,175,177,178,180,180,178,180,181,181,181,180,180,180,181,181,181,180,182,159,162,165,169,170,171,174,173,176,179,177,180,180,178,178,182,181,179,181,183,183,183,185,185,183,183,184,182,161,164,166,169,170,171,174,176,178,179,178,180,184,182,190,181,181,186,199,183,177,209,170,175,189,186,185,183,162,166,169,170,171,174,176,179,178,187,209,182,161,212,213,170,141,199,218,178,148,208,169,145,195,186,187,186,165,167,170,170,173,177,176,181,175,217,224,192,129,176,210,175,125,143,211,185,132,172,193,128,184,192,187,188,166,169,172,173,176,174,200,204,165,219,215,201,145,144,209,186,145,124,216,187,126,124,197,148,137,178,192,188,167,170,172,176,175,189,230,208,160,189,224,199,166,145,208,190,144,140,218,176,126,79,171,178,146,129,167,194,169,172,173,176,172,213,231,214,180,168,224,195,172,137,213,201,135,145,215,155,117,38,122,188,173,118,128,202,171,173,175,176,179,225,230,225,195,154,214,200,166,135,219,202,121,113,184,136,89,32,147,203,182,124,138,204,172,173,176,172,193,220,204,227,204,146,195,202,156,126,208,186,119,75,132,125,63,57,202,205,188,120,166,204,173,175,180,171,214,220,196,210,174,115,165,186,142,107,156,152,114,65,128,118,53,142,214,199,159,112,192,199,175,179,176,183,228,218,175,185,134,80,129,158,131,87,103,134,83,64,157,157,165,199,198,177,123,126,206,196,175,179,172,204,231,211,167,165,142,95,112,152,136,70,78,123,97,169,212,209,197,174,168,143,114,145,208,198,179,183,176,196,231,223,199,159,140,112,102,172,143,56,65,160,213,227,215,202,183,157,136,128,99,161,209,200,181,185,181,194,231,228,211,186,153,134,137,168,139,117,188,230,229,217,208,194,168,140,124,113,111,198,205,204,181,184,180,201,231,230,219,201,187,157,159,176,196,225,231,228,224,210,192,173,148,125,112,104,181,209,205,205,179,184,180,202,231,230,228,214,204,183,172,200,217,230,228,226,217,201,176,150,126,116,94,157,211,203,208,206,181,184,182,198,231,230,230,222,211,199,188,198,215,231,228,219,209,187,162,131,115,97,123,211,205,206,207,207,181,184,185,195,231,229,230,224,209,196,189,191,205,222,217,202,191,172,138,119,99,100,196,211,207,209,207,207,182,184,188,189,226,230,228,217,200,184,183,188,196,202,195,181,160,146,121,100,90,184,216,207,208,209,208,208,185,189,193,191,219,231,228,217,200,182,183,192,195,196,180,160,133,116,95,69,164,220,207,210,210,210,209,210,183,179,178,167,180,194,174,165,157,149,161,175,172,168,146,132,113,91,65,147,219,208,211,210,210,212,211,210,135,118,116,110,97,91,89,77,67,57,57,54,44,43,40,43,51,49,73,198,220,209,210,211,213,212,211,211,108,109,106,98,96,93,83,71,64,49,42,29,21,20,16,13,12,18,24,36,146,223,209,213,213,212,212,212,115,112,111,102,98,90,80,71,60,48,41,31,25,23,20,17,15,17,22,0,92,231,209,214,213,213,213,213,137,110,113,103,101,87,78,68,53,46,39,33,23,21,18,14,13,13,15,11,189,220,212,216,214,214,214,214,154,113,108,104,99,87,75,65,54,44,35,31,24,22,18,14,11,15,1,81,231,210,213,214,216,216,216,216
15,132,110,120,83,71,133,17,5,49,46,47,50,54,57,70,85,96,106,111,115,121,127,131,135,139,141,143,147,130,114,126,75,86,131,6,15,50,47,49,52,55,59,73,87,100,109,112,117,124,130,134,137,141,144,147,150,129,116,128,68,100,124,0,25,51,47,51,54,56,60,75,88,102,111,115,119,126,133,138,142,144,147,150,152,127,119,127,61,115,113,0,32,49,46,48,50,52,59,78,93,104,113,116,120,129,136,140,144,147,151,154,156,123,120,125,57,130,97,0,46,57,58,68,77,80,64,76,89,105,117,121,125,133,138,148,153,151,153,158,160,123,132,120,85,112,98,82,86,83,90,94,88,78,74,73,74,80,89,98,105,103,94,101,132,160,162,160,163,129,137,103,91,95,88,85,72,73,74,69,67,66,80,82,80,79,77,77,90,94,84,72,57,86,145,173,169,131,117,82,79,75,74,69,64,68,69,70,68,72,85,86,82,76,71,75,89,92,89,83,67,49,51,105,164,132,134,96,70,86,58,56,59,64,68,67,67,77,85,83,77,73,72,84,89,81,87,80,71,67,59,44,62,135,143,89,91,154,20,13,56,49,51,53,56,62,75,88,103,87,82,83,84,86,87,81,73,72,77,63,48,137,147,79,106,148,6,16,58,49,50,54,55,55,69,95,142,120,97,90,83,75,83,75,77,73,91,74,60,137,146,74,120,138,0,25,57,49,50,54,55,58,67,125,130,104,75,67,75,56,56,73,80,83,102,83,68,139,145,68,133,126,0,34,56,48,50,53,56,54,87,145,107,93,65,25,36,24,16,97,102,102,97,76,74,141,142,66,144,113,0,41,55,49,51,52,55,57,134,131,94,77,59,22,9,0,14,118,121,114,89,67,73,143,137,66,156,99,0,47,54,50,50,54,49,83,164,128,88,71,38,9,10,0,40,126,129,125,91,64,66,151,132,70,163,83,0,53,54,50,51,54,50,76,149,137,101,73,29,1,9,16,53,117,137,132,96,66,62,157,125,76,174,70,0,56,53,49,51,53,55,54,124,156,127,87,44,0,27,59,50,102,137,117,89,68,53,162,118,86,180,56,0,61,52,49,49,52,55,58,90,165,149,105,51,9,2,36,95,120,116,87,77,65,42,166,106,97,180,40,0,60,50,47,47,50,51,61,76,148,164,128,105,94,91,113,115,98,78,61,62,60,45,169,99,111,177,26,5,59,48,47,46,49,50,60,79,113,168,150,134,125,125,129,93,62,56,54,53,56,58,168,88,125,169,13,14,60,47,46,45,47,50,62,78,133,148,108,98,101,123,126,81,48,49,41,48,55,48,166,84,141,160,1,20,57,45,44,44,47,50,58,91,163,114,96,100,96,117,121,84,50,45,105,86,30,29,162,78,153,146,0,28,54,40,38,38,40,43,50,98,149,104,90,86,82,103,108,87,44,73,205,104,32,31,157,80,160,142,94,89,97,88,84,80,77,79,82,97,122,105,101,113,81,59,93,92,59,87,196,104,40,34,149,82,163,146,105,68,85,84,84,83,87,91,90,84,80,89,87,136,131,63,62,98,79,91,112,79,46,39,144,86,168,142,99,72,86,84,85,85,85,86,88,88,89,92,85,94,150,109,69,94,94,93,94,71,36,35,135,94,172,138,98,78,86,86,88,88,87,90,91,91,94,93,92,90,104,110,89,96,95,94,98,73,32,10,126,102,171,137,98,80,87,85,87,88,88,90,90,91,93,93,93,94,93,92,94,94,95,94,96,72,42,23
13,138,138,140,142,143,144,145,145,146,147,147,146,146,146,147,146,144,143,143,142,142,141,139,137,136,134,133,133,138,139,140,143,144,145,146,147,147,148,149,150,153,148,148,150,150,145,144,143,142,142,141,140,139,137,135,134,139,141,142,144,146,147,147,148,148,149,137,112,119,155,136,109,118,150,146,145,144,143,143,142,140,140,138,136,140,142,143,145,147,147,148,151,150,154,137,107,82,110,118,92,53,123,155,146,146,145,144,142,141,140,139,137,140,143,145,146,147,149,150,152,150,161,157,123,101,56,110,107,61,85,160,146,147,146,145,144,142,141,140,138,141,144,146,148,148,150,151,152,151,154,159,125,96,53,86,101,61,69,157,149,149,147,146,145,144,142,140,139,141,145,147,149,150,151,152,153,156,157,150,123,90,56,62,80,50,62,157,149,149,147,146,146,146,144,142,140,143,145,148,149,151,152,153,152,142,146,136,121,92,68,58,90,52,71,159,149,151,150,149,147,147,145,143,141,144,146,148,150,152,154,154,140,98,80,87,124,124,82,67,97,62,76,163,150,152,151,149,148,147,146,144,143,144,147,149,151,153,154,163,139,98,85,65,123,137,91,58,85,59,43,140,157,152,152,150,149,148,147,146,144,146,148,149,152,152,146,116,120,116,105,71,55,94,62,51,60,58,54,85,161,152,153,151,150,150,147,146,144,146,148,151,150,158,140,87,74,125,108,92,38,16,22,46,63,75,85,57,130,160,151,152,151,150,149,147,145,147,149,149,159,165,124,99,79,101,118,93,69,21,44,50,79,97,96,63,84,165,152,153,152,151,149,148,147,147,150,151,164,130,123,113,98,74,111,100,82,33,54,105,114,101,85,66,71,162,153,152,152,152,150,148,146,147,149,152,165,127,103,110,94,74,87,91,61,31,65,118,126,109,79,53,84,165,154,154,154,152,151,149,146,148,149,156,155,128,92,84,84,59,41,64,55,38,86,126,119,107,78,40,111,167,155,154,153,152,152,149,147,148,150,154,156,147,122,86,61,41,30,61,67,68,131,134,113,100,71,41,139,164,157,155,153,152,152,150,147,149,152,152,154,151,132,108,92,76,74,84,84,125,150,127,105,89,64,55,159,159,157,156,154,153,152,151,149,150,153,153,153,148,137,118,98,82,84,117,144,145,136,118,99,83,52,75,169,158,159,157,154,153,151,151,150,149,153,154,156,139,126,115,96,84,86,109,142,137,125,106,89,76,41,101,171,159,159,157,155,153,152,151,151,149,152,155,157,133,125,117,101,95,90,101,133,136,122,98,78,67,35,133,168,160,159,158,156,153,153,153,151,150,152,154,159,146,125,118,107,100,88,95,127,128,112,86,68,46,58,166,161,161,159,158,157,154,153,153,151,149,152,153,157,158,131,118,111,97,87,85,110,116,98,74,61,32,116,172,161,162,160,158,158,155,154,153,152,150,152,155,157,161,155,125,107,93,88,85,98,110,93,73,53,49,161,164,162,161,160,159,157,156,155,154,152,150,153,156,158,160,160,138,114,98,92,97,97,106,94,71,45,91,174,161,163,162,162,159,157,158,156,154,152,150,152,155,157,158,155,145,123,117,115,112,103,106,90,64,45,128,171,161,161,160,160,159,157,156,155,154,151,148,151,153,157,157,148,152,133,127,122,113,109,99,81,60,50,152,165,161,160,159,159,158,155,154,153,151,150,148,151,153,157,156,145,158,137,129,128,113,101,84,77,51,60,164,162,162,160,160,159,158,157,155,153,151,150
14,183,184,184,184,184,185,185,185,186,184,184,185,185,185,184,182,182,181,179,179,177,177,176,175,174,172,170,169,186,187,187,188,188,187,188,189,187,187,188,188,188,188,187,185,185,183,182,182,179,180,179,177,176,175,173,172,188,189,190,190,190,189,190,190,189,189,189,190,190,188,191,192,189,187,187,187,185,183,181,181,180,179,176,175,191,193,191,192,194,194,194,193,194,192,192,194,193,192,182,172,182,186,182,179,180,186,190,181,183,181,180,179,194,195,194,195,196,196,195,195,195,194,196,196,195,187,171,150,158,162,156,161,155,123,160,196,184,183,181,180,196,197,197,197,198,198,198,198,198,196,195,175,170,182,188,184,178,161,118,129,150,120,90,143,193,188,183,182,198,199,199,199,201,201,198,199,200,198,196,195,191,196,196,187,178,166,146,113,125,138,109,103,143,176,187,183,201,201,201,201,201,201,201,200,200,198,199,185,166,157,145,129,105,107,145,150,150,157,108,115,138,109,183,191,202,202,203,203,203,203,203,202,203,203,197,164,160,163,135,104,86,86,83,113,131,113,81,67,98,68,97,190,203,204,204,203,204,205,204,205,202,185,186,198,195,177,155,136,136,164,107,157,176,147,173,127,70,64,58,110,207,207,206,206,206,206,207,208,200,188,193,186,173,142,121,114,112,103,113,201,207,206,201,214,162,58,77,82,208,208,207,208,208,207,208,210,196,189,181,149,116,65,47,50,48,85,195,204,201,200,201,197,104,88,104,99,208,209,209,209,209,209,208,207,196,186,135,84,52,43,48,53,36,146,219,201,205,201,213,142,87,122,114,87,209,211,211,210,212,211,212,206,199,179,118,65,53,56,59,66,51,165,215,205,205,208,189,98,112,119,106,75,212,212,212,212,213,213,214,206,197,174,120,61,59,59,57,59,51,192,213,207,205,217,133,87,111,113,80,123,214,213,214,214,214,214,216,205,198,160,90,59,73,57,54,56,39,167,230,204,214,188,96,92,99,99,73,185,215,215,215,214,215,216,214,201,198,156,103,86,71,56,57,53,39,57,158,215,212,108,100,107,97,65,139,212,217,217,217,217,215,218,211,200,201,170,118,89,65,57,63,62,64,63,57,121,121,79,105,107,81,104,212,201,217,219,219,218,217,218,212,197,200,164,118,94,65,60,69,77,80,86,91,88,75,92,104,92,81,193,211,203,218,219,218,217,218,219,211,191,195,165,137,97,60,62,72,86,87,92,98,109,105,87,110,76,149,220,205,206,218,219,219,218,217,222,212,186,191,174,137,95,71,59,73,91,93,92,99,113,113,98,84,85,207,212,210,208,218,219,220,220,220,223,212,189,198,175,145,114,81,59,75,94,95,98,106,119,118,104,66,147,223,210,210,209,221,220,221,223,222,223,211,192,201,174,142,109,88,62,71,97,97,102,112,120,115,85,100,222,214,213,212,210,223,223,223,223,223,225,210,195,197,164,135,113,93,71,65,98,97,102,115,115,108,64,155,227,212,215,213,211,222,222,223,223,221,226,208,192,194,159,131,117,97,78,62,89,96,101,110,108,89,74,209,218,215,215,213,213,221,221,222,223,221,226,205,186,189,155,131,119,95,79,63,80,97,96,98,99,56,150,230,215,216,215,214,213,222,222,223,223,222,227,206,181,179,154,130,108,89,79,66,74,91,91,91,66,103,221,215,216,215,214,212,211,223,223,224,224,223,227,203,178,172,152,125,105,91,80,69,74,84,86,71,88,212,222,216,216,216,215,214,211
6,232,232,233,234,234,235,234,234,236,237,236,237,237,236,237,238,235,236,236,237,237,236,235,235,234,233,233,233,233,233,234,236,236,235,236,236,236,236,236,237,239,238,239,239,238,239,238,238,238,238,237,236,236,235,234,235,234,234,235,236,236,236,237,238,237,236,236,237,238,240,240,240,239,239,241,241,241,240,238,237,237,235,235,237,234,235,235,237,237,237,239,239,239,239,239,238,240,240,242,243,243,242,241,242,241,238,239,240,236,239,238,237,235,237,236,236,239,239,239,239,239,241,243,241,242,241,239,234,228,230,228,229,224,216,200,201,222,218,236,239,237,237,238,239,239,240,240,241,241,239,237,234,225,224,226,219,222,225,243,243,230,219,203,191,206,183,230,242,236,238,238,240,240,242,241,236,226,218,221,221,221,237,238,224,213,216,219,210,194,175,166,171,179,202,243,241,234,237,238,241,241,239,235,229,218,208,206,212,216,209,199,181,166,157,158,172,183,195,211,227,238,244,242,242,236,237,239,236,235,233,232,232,218,195,170,162,154,141,138,139,144,184,227,243,248,250,249,246,244,242,242,242,235,235,233,229,226,229,231,229,226,210,161,125,113,119,148,187,226,251,247,246,243,241,242,243,243,242,241,240,235,227,225,227,230,226,229,234,233,198,154,121,115,119,146,246,251,241,244,244,242,242,243,242,242,242,241,240,224,225,227,226,225,229,237,237,204,151,136,121,115,124,120,143,229,253,243,244,244,243,243,242,243,241,241,241,227,228,225,226,226,233,232,232,219,190,144,113,113,131,128,113,119,219,252,244,244,244,244,244,244,243,242,242,234,229,225,229,233,230,232,244,245,214,157,114,107,123,144,141,120,123,242,248,246,247,246,245,243,242,242,242,230,230,230,227,230,236,234,248,237,190,145,118,116,114,123,130,135,106,206,254,244,246,245,245,245,243,243,243,232,231,228,227,230,232,228,235,226,179,135,117,119,119,107,109,116,136,233,255,250,250,250,250,249,249,245,241,234,228,224,222,217,220,222,227,225,194,143,105,113,124,125,122,105,188,226,225,230,233,236,234,228,228,239,247,229,226,224,223,220,223,227,234,239,207,144,109,98,109,144,122,115,132,131,136,139,136,132,142,182,221,251,251,225,231,230,226,226,231,234,241,235,191,129,113,114,103,112,127,128,133,130,128,121,149,182,217,250,250,255,255,228,228,223,222,221,217,212,223,198,159,130,119,117,114,112,135,147,132,143,160,201,250,255,240,225,233,235,249,222,214,209,212,202,191,190,191,168,147,134,129,124,113,116,126,155,212,240,247,255,241,233,235,223,214,227,232,206,209,202,192,184,178,178,172,152,133,129,131,130,117,127,183,255,255,255,249,237,221,211,214,220,210,202,206,183,188,185,174,167,158,146,144,144,133,135,129,132,169,236,255,255,243,240,235,220,204,200,201,210,206,195,200,139,145,145,142,132,127,128,132,133,137,126,166,235,255,255,255,249,236,230,235,210,185,194,194,197,201,195,195,111,112,120,122,124,131,134,135,138,121,183,254,255,255,251,243,232,231,231,231,201,166,183,189,183,195,190,186,122,123,133,135,131,132,135,136,120,192,255,243,246,231,240,234,218,224,231,232,197,153,166,180,180,187,182,190,130,130,131,131,130,132,131,121,198,255,236,228,229,229,237,222,208,212,226,230,199,147,148,169,175,179,188,183,130,129,130,130,132,129,141,212,255,240,228,216,226,228,233,213,198,199,217,231,201,150,141,159,174,181,193,174
24,99,106,113,118,121,126,128,130,133,136,138,141,144,146,148,149,150,151,153,154,156,157,158,158,158,158,158,158,101,108,114,119,123,127,129,132,135,137,140,144,146,148,149,151,152,154,156,158,159,159,159,159,158,158,159,160,103,110,116,120,124,128,130,133,137,139,142,145,148,149,150,152,153,156,158,159,160,160,160,160,160,161,161,161,104,111,118,123,126,129,131,134,138,140,143,147,149,150,151,154,155,158,159,160,161,162,163,161,163,164,163,164,106,112,119,124,128,131,133,136,140,143,146,147,150,150,152,155,157,159,159,161,163,165,165,164,165,165,164,165,108,114,120,125,131,136,125,137,140,144,146,150,151,152,155,157,159,160,161,162,164,165,165,165,166,166,166,165,108,115,120,126,146,138,97,133,142,145,148,151,153,155,158,159,160,161,163,164,165,166,166,167,168,168,167,169,110,117,122,129,159,117,92,136,143,147,150,152,155,157,159,159,161,164,165,166,166,168,167,168,169,170,169,170,112,119,122,141,160,101,102,141,145,149,152,154,156,158,160,162,162,165,162,151,133,144,168,170,171,171,171,171,112,119,121,159,150,93,117,142,149,144,137,151,152,139,147,163,165,165,137,104,85,100,165,172,172,172,172,172,113,120,127,175,139,118,130,134,163,143,106,131,148,125,108,146,170,154,107,77,84,128,171,173,173,174,173,173,115,120,135,180,146,172,146,126,162,139,94,131,140,121,91,117,175,138,91,81,143,171,173,174,174,174,174,174,115,120,148,182,173,187,155,124,156,129,85,119,128,106,83,138,158,115,82,115,174,174,175,176,176,175,175,176,116,120,161,182,175,201,155,119,150,121,76,73,112,112,116,146,124,92,83,155,176,176,177,177,177,177,177,177,118,121,171,192,172,192,146,107,152,115,96,106,140,143,130,125,109,79,112,176,177,179,179,178,178,178,179,179,118,132,179,181,164,173,131,96,153,161,167,167,150,130,112,100,98,80,147,180,179,179,179,180,180,180,180,180,116,154,164,152,139,150,137,123,181,196,184,167,143,119,97,88,85,93,171,181,181,180,180,181,182,182,181,181,124,182,168,144,127,126,144,185,203,195,183,165,135,109,88,82,75,124,182,182,183,182,182,183,183,183,182,182,146,200,171,150,135,122,149,205,196,183,170,147,122,98,82,76,72,152,184,184,183,184,185,185,184,184,184,184,177,205,175,162,153,163,192,202,186,168,155,131,107,90,79,75,77,163,185,184,184,184,185,186,186,186,186,185,196,208,183,170,163,183,196,185,169,152,141,118,96,84,78,73,96,177,185,185,186,186,186,188,187,187,187,186,201,217,192,174,162,175,184,173,160,140,132,108,90,78,72,74,140,184,185,186,187,187,187,189,189,187,187,187,190,220,196,180,167,170,179,174,154,136,124,100,82,70,67,113,179,186,186,187,188,188,189,189,189,189,189,189,168,211,192,177,174,166,165,167,145,124,111,90,69,68,118,171,184,185,187,188,190,191,190,189,189,190,191,191,153,196,193,180,177,164,150,159,142,119,102,77,62,118,176,183,185,187,188,189,190,191,191,191,191,192,192,192,145,193,193,180,168,162,143,150,137,116,96,66,85,166,181,184,186,187,188,189,190,191,192,192,192,193,193,192,145,199,195,174,156,160,142,140,132,111,93,66,117,180,182,184,186,188,189,191,192,191,192,192,193,194,194,194,151,200,195,167,148,161,139,134,131,109,89,69,126,181,182,185,187,189,190,192,193,193,193,194,194,194,195,195
6,172,174,176,177,179,182,183,184,187,189,189,190,191,191,192,194,194,194,193,193,194,194,195,196,196,196,195,195,174,175,176,177,179,182,184,186,188,188,189,190,192,191,193,195,194,194,195,195,194,195,195,195,195,196,196,195,174,175,176,178,180,183,184,185,187,187,189,190,193,192,192,193,194,192,194,195,193,194,194,194,195,196,196,195,175,175,177,180,182,183,184,187,188,189,190,192,193,195,195,194,195,196,196,195,195,194,196,195,196,199,197,195,176,177,179,182,183,184,186,189,189,190,192,193,194,193,190,182,169,173,182,177,175,172,157,182,189,184,197,196,177,178,180,183,184,185,188,189,190,190,192,194,194,193,190,176,152,156,168,170,164,160,148,158,175,150,196,197,177,178,179,183,185,186,188,189,189,191,198,202,199,195,182,162,151,140,138,142,137,137,137,135,137,165,202,198,178,180,181,183,185,187,190,193,193,197,195,187,178,163,144,129,127,137,140,145,158,165,171,177,186,201,199,199,179,181,183,185,185,189,198,188,179,175,174,170,168,162,152,135,145,173,186,205,205,207,207,205,203,201,201,200,182,183,183,186,184,209,206,173,157,157,161,167,173,175,171,167,160,154,140,193,205,202,203,202,202,202,202,201,182,183,184,187,186,220,196,170,170,163,159,153,154,158,158,153,147,145,119,179,210,203,205,204,204,204,203,203,182,183,187,189,188,220,191,184,192,173,161,162,159,165,168,161,147,138,129,193,209,205,206,206,205,205,205,205,183,183,186,188,193,220,207,216,203,174,156,157,158,160,161,158,155,151,136,166,215,206,207,206,207,207,206,205,183,184,188,187,199,221,217,215,201,187,178,161,145,135,143,147,143,139,133,116,180,213,207,208,207,208,208,207,184,185,189,186,206,220,215,210,210,208,194,170,155,151,160,156,142,132,131,105,137,217,208,209,208,209,209,208,185,186,190,186,213,223,218,217,218,206,194,179,162,155,159,155,148,139,142,113,160,217,208,209,208,210,210,209,185,187,189,188,218,222,217,218,216,206,195,174,162,160,157,156,151,146,134,151,210,210,210,209,209,211,211,210,185,187,188,191,222,218,217,216,214,202,181,170,164,162,151,147,150,147,130,194,215,209,210,210,209,211,211,210,187,188,189,195,225,217,216,215,209,182,173,174,165,148,139,107,128,136,141,211,210,211,211,212,212,213,212,210,187,189,188,200,221,214,214,212,198,171,167,173,162,132,105,93,114,125,179,216,209,211,212,213,213,212,212,210,188,190,186,205,216,210,211,203,182,164,172,169,149,136,108,114,146,178,213,212,213,213,213,213,213,212,213,211,189,191,188,211,213,205,206,194,177,165,178,167,148,133,113,134,217,216,212,213,214,213,214,213,213,213,214,212,189,192,189,212,209,207,200,187,173,178,184,163,146,132,113,158,222,211,214,214,215,215,214,214,213,214,214,213,189,191,187,207,209,200,188,184,172,182,177,155,141,128,121,197,218,214,214,215,216,215,214,215,215,215,214,213,189,192,188,201,202,196,186,175,172,183,166,149,138,120,163,220,213,216,215,216,216,216,216,216,216,214,213,213,190,192,184,207,207,194,187,168,175,177,160,148,128,143,215,216,215,217,217,216,216,216,216,216,215,214,215,214,190,187,186,211,202,191,182,170,175,169,151,141,121,187,223,216,218,218,218,216,216,217,217,216,215,215,216,214,192,185,189,204,195,179,171,172,168,160,144,133,125,203,218,217,218,218,219,218,218,219,217,217,216,215,215,215
14,171,171,172,173,173,174,173,174,173,173,172,172,171,170,168,168,167,165,164,163,161,160,159,158,157,154,153,151,173,172,173,174,175,176,176,176,176,175,175,174,173,172,171,170,169,167,166,166,165,163,161,160,159,157,156,155,174,175,175,176,177,178,179,178,177,177,177,176,175,173,172,171,170,169,167,167,165,164,163,162,160,158,157,156,175,177,177,179,179,180,179,180,180,180,179,177,177,175,173,173,172,171,169,168,167,166,164,164,162,159,158,157,177,178,179,180,180,181,182,181,181,181,180,175,165,174,175,176,174,173,172,171,169,167,166,165,164,162,160,158,179,180,181,182,182,183,185,184,179,167,156,145,106,119,125,151,169,174,174,172,171,169,167,165,166,164,161,159,181,181,182,184,184,185,185,178,157,136,114,90,67,75,93,102,121,135,159,174,173,171,170,168,167,165,163,161,182,182,183,184,185,185,184,172,142,102,74,62,63,59,75,88,98,95,118,175,174,172,171,169,167,166,165,163,182,184,185,186,186,180,174,150,110,60,51,51,52,50,55,59,72,65,84,152,174,174,172,171,169,167,166,164,183,185,187,188,186,171,158,121,75,56,46,46,51,50,52,53,61,69,74,86,170,175,174,172,171,170,166,165,185,186,187,188,186,165,141,87,58,57,52,51,51,48,56,58,61,69,67,95,175,177,175,173,171,170,168,167,187,187,188,187,188,171,143,82,55,50,51,55,56,75,153,145,147,87,74,77,146,174,175,174,172,171,169,168,187,189,190,190,188,172,143,88,54,47,49,55,58,139,188,188,188,166,109,83,92,117,164,175,173,172,171,168,188,189,190,190,188,173,142,88,61,57,51,48,115,186,190,189,188,186,162,104,101,92,145,177,174,173,172,171,189,190,190,192,188,176,146,94,70,64,58,65,180,191,192,190,189,182,126,107,101,87,159,178,176,174,173,172,190,191,192,194,189,180,157,110,81,63,58,79,191,192,192,191,189,152,105,103,94,96,177,180,177,175,174,173,190,193,194,193,186,178,161,117,88,62,56,101,194,194,193,192,177,110,95,95,80,132,181,180,179,177,175,173,191,193,194,192,183,180,160,122,93,65,55,76,161,187,193,188,136,100,86,85,70,165,181,181,180,178,176,173,190,193,194,192,184,179,160,125,92,66,61,62,76,98,154,138,102,101,91,72,124,182,183,182,180,179,177,174,192,193,194,191,183,184,162,125,98,70,62,65,73,80,86,83,89,92,82,108,181,185,183,181,180,179,177,175,192,193,195,190,183,188,161,124,97,73,60,66,74,80,84,81,82,87,91,176,187,186,184,182,180,179,178,177,193,194,195,187,185,184,156,120,100,76,60,66,74,79,85,86,75,74,156,189,188,186,185,183,181,180,178,177,194,195,196,186,186,179,153,119,104,79,60,66,77,82,84,82,70,109,188,190,188,188,186,184,182,180,179,177,194,195,196,184,186,173,147,121,105,80,60,69,81,86,85,75,84,183,192,190,189,188,186,186,184,181,179,177,194,195,196,183,181,164,141,117,102,78,60,69,81,82,76,63,135,194,193,192,190,188,187,186,184,182,179,177,195,196,196,182,175,160,138,115,98,78,61,68,78,76,68,83,186,194,193,193,192,189,188,186,184,183,180,178,195,197,195,183,168,158,133,109,91,75,61,66,71,69,64,160,196,196,194,193,192,189,188,187,185,183,181,179,194,195,193,182,164,153,129,106,85,70,59,63,61,57,139,197,197,196,195,193,192,189,189,187,185,182,181,179
12,151,152,153,154,156,156,156,157,157,158,157,158,158,159,159,159,159,160,160,159,159,159,159,159,159,158,157,157,153,154,155,155,156,157,158,159,158,159,159,159,159,160,160,162,160,161,162,160,160,161,160,160,160,159,159,158,155,155,156,157,157,157,158,160,160,159,159,161,161,164,163,155,162,161,161,163,162,161,162,161,161,160,160,160,155,157,157,158,159,159,160,161,159,163,170,160,158,180,173,139,128,168,165,148,159,162,161,162,162,161,162,161,156,157,158,159,160,161,161,160,163,193,189,158,141,187,176,135,87,157,172,131,121,166,163,163,163,162,163,162,156,157,159,161,161,162,162,159,167,198,191,155,137,189,174,142,87,159,159,127,88,152,169,162,163,163,163,163,157,159,160,162,161,163,162,160,173,194,188,157,132,191,171,147,110,170,151,112,79,131,174,163,165,165,165,165,159,160,162,161,163,161,169,187,158,158,180,181,122,178,186,140,123,172,158,112,72,121,174,164,166,166,165,165,159,161,162,163,164,161,192,191,155,121,151,157,106,159,179,109,123,182,139,99,69,116,173,165,167,167,167,166,161,162,163,164,162,173,198,191,171,120,129,126,76,96,114,87,130,150,97,78,72,111,176,166,168,168,167,166,162,163,163,164,162,183,196,192,173,139,108,116,78,66,68,145,169,152,116,112,103,116,178,167,169,169,167,167,163,163,165,165,163,189,177,185,178,152,116,79,99,84,143,195,191,175,148,144,126,122,178,168,170,168,169,168,163,165,165,165,166,196,191,167,171,154,122,86,82,127,198,195,188,173,152,134,114,106,175,171,171,169,169,169,165,166,167,164,176,198,194,161,160,157,131,103,74,179,198,194,188,174,154,128,103,106,177,172,172,171,170,171,165,167,169,165,177,198,195,182,151,145,160,135,104,198,196,195,188,172,144,123,99,106,178,171,173,172,171,172,165,167,169,168,171,198,196,181,158,136,140,151,169,198,195,195,187,167,143,122,101,95,174,175,173,173,172,172,166,167,169,167,174,198,198,187,175,169,145,176,192,198,192,191,188,163,147,117,97,93,175,176,174,173,174,173,167,168,170,168,177,198,198,194,185,182,167,175,184,198,189,186,181,166,142,114,87,111,183,173,176,174,175,175,168,169,171,170,175,198,198,196,190,182,172,175,175,194,186,177,172,166,130,106,80,150,182,174,176,176,176,175,169,169,171,172,172,196,198,197,191,178,167,175,175,188,180,170,169,155,120,89,98,181,177,176,176,176,176,176,169,169,171,174,170,187,198,195,189,172,161,169,173,182,178,169,160,138,106,75,149,184,177,177,177,176,177,177,171,174,175,178,174,188,198,183,178,170,166,173,176,189,180,164,150,124,82,106,184,177,180,178,177,177,178,177,163,154,145,139,126,122,121,105,100,100,95,99,92,93,89,84,85,82,65,151,194,181,180,180,179,179,180,179,118,110,105,103,89,79,78,74,66,59,55,53,42,39,41,38,36,37,40,58,101,170,181,179,178,178,178,178,115,105,108,101,93,85,82,77,70,64,61,56,47,45,44,43,39,37,36,32,21,156,184,178,179,178,177,177,135,102,107,102,92,86,79,75,68,62,59,53,45,45,45,43,38,36,37,24,91,191,177,179,178,178,178,178,150,104,106,98,91,85,77,73,66,61,57,52,46,46,45,42,38,33,35,24,153,190,179,181,180,179,180,180,158,106,104,99,94,85,80,72,67,59,55,52,47,45,44,42,38,34,34,37,172,184,183,182,181,181,180,181
18,212,212,212,212,213,214,215,215,214,214,215,215,214,214,213,212,213,213,214,214,213,212,210,209,207,207,205,203,212,213,214,215,214,214,215,215,216,215,215,215,215,213,214,214,214,214,214,214,213,211,211,211,209,207,207,207,214,215,216,216,216,217,216,216,215,215,216,215,215,216,215,215,215,217,214,216,213,211,211,211,210,208,208,207,216,216,216,217,218,219,217,217,216,215,217,216,217,216,215,216,216,223,209,205,217,213,212,212,210,210,209,208,216,217,218,218,217,219,219,220,218,217,218,218,215,218,219,217,216,242,211,173,202,217,214,213,214,213,211,209,219,220,220,219,219,220,219,220,220,220,221,218,233,234,204,213,243,252,232,186,188,212,211,215,213,212,211,211,220,220,221,220,220,221,221,222,219,221,220,234,255,237,200,182,227,242,247,234,235,223,180,180,214,211,211,213,220,221,221,221,222,222,223,220,226,246,213,229,255,229,206,175,224,223,248,247,246,232,181,136,197,217,213,214,222,222,222,223,223,222,219,226,255,253,210,184,252,225,198,180,238,211,213,241,251,227,175,129,166,220,213,213,221,221,222,223,221,224,219,255,255,252,216,184,252,232,197,180,241,224,181,244,255,230,166,125,153,224,215,216,224,224,223,224,225,220,239,255,255,255,221,180,249,239,199,184,247,220,189,255,255,228,162,118,168,227,214,216,225,227,226,227,225,226,255,247,252,255,228,183,242,235,197,172,225,204,188,255,255,218,156,116,197,224,217,218,227,227,226,228,225,249,255,240,239,245,222,176,209,219,191,145,170,163,211,255,246,204,149,133,223,220,220,219,227,227,228,225,235,255,247,213,218,211,179,143,171,194,158,107,184,221,247,255,233,192,138,176,230,220,221,220,229,230,231,227,239,255,250,214,194,191,157,121,188,190,133,197,255,255,242,228,219,180,138,212,227,222,221,221,229,231,233,225,250,255,250,226,185,176,159,113,204,178,217,255,255,251,224,202,202,162,136,222,225,226,223,222,229,231,233,229,255,255,252,232,209,180,169,157,152,215,255,255,255,244,210,184,178,138,166,235,224,226,224,224,231,233,232,235,255,255,255,239,222,193,181,181,208,255,255,255,253,227,192,170,162,119,193,235,226,227,226,225,233,234,231,239,255,255,255,248,235,206,201,220,255,255,255,255,246,211,177,161,136,143,227,230,229,228,227,226,233,234,231,239,255,255,255,255,244,225,216,238,255,255,255,247,236,199,167,153,120,201,238,228,229,228,229,227,232,233,231,237,255,255,255,255,246,229,223,233,255,255,245,242,210,188,155,130,142,235,231,230,229,229,229,227,233,233,233,236,255,255,255,255,242,228,226,229,251,242,230,232,198,169,141,113,193,238,230,231,229,230,229,229,234,234,233,235,255,255,255,249,234,222,223,228,240,227,219,217,195,149,123,131,232,232,230,231,232,230,229,237,233,235,232,237,255,250,239,237,223,213,215,221,238,221,209,201,171,131,101,186,242,232,233,231,231,230,230,191,237,237,236,246,255,250,242,239,228,226,217,220,244,209,187,172,141,98,133,236,233,234,231,233,236,240,182,121,188,180,168,209,255,252,249,242,242,247,214,218,238,188,162,143,105,103,224,237,233,233,237,233,210,173,131,120,143,142,135,140,146,147,151,154,161,179,167,183,192,160,138,117,83,193,246,241,241,241,207,155,130,117,111,103,162,131,132,134,128,123,116,109,98,94,94,97,98,91,87,85,79,109,129,156,203,202,122,123,127,121,113,102
21,159,163,165,168,169,170,171,172,174,174,175,175,175,174,173,174,174,172,171,171,169,169,169,168,166,166,165,164,160,164,166,169,170,172,173,174,175,176,177,177,177,176,175,173,169,174,172,172,171,171,170,170,168,167,167,166,161,165,167,170,171,172,174,175,177,178,178,178,178,177,179,184,123,148,179,173,172,172,172,171,169,168,168,167,163,165,169,171,172,173,175,177,179,179,179,179,179,177,183,185,112,141,182,174,175,173,174,173,171,169,169,169,164,167,170,173,173,174,176,178,180,180,180,180,180,178,189,176,114,150,182,176,177,173,170,175,173,171,171,171,165,168,171,172,174,176,178,179,180,181,181,182,183,178,194,173,115,156,184,176,176,164,125,154,179,172,173,172,166,169,172,173,176,177,178,179,180,182,183,183,184,182,196,170,118,166,183,177,173,152,106,146,180,174,174,172,167,171,173,175,177,179,179,180,182,183,185,185,184,184,197,164,117,170,183,178,169,148,112,169,177,174,174,173,167,171,173,176,178,179,181,183,183,184,184,184,182,187,196,161,113,170,185,178,167,135,124,181,175,176,175,174,168,172,174,177,178,180,182,183,183,185,185,186,181,194,197,153,112,176,183,171,165,120,151,184,176,177,176,175,170,174,176,178,180,181,182,184,185,185,184,183,183,202,194,142,122,188,175,167,151,114,173,182,178,178,177,176,171,173,177,179,180,182,184,185,184,190,184,145,141,190,171,123,127,189,171,170,125,128,188,180,180,180,179,178,171,174,177,179,181,184,185,185,185,188,187,151,120,120,119,101,139,186,174,159,112,164,187,181,180,180,179,178,172,175,178,180,182,184,185,186,188,194,185,184,159,133,100,98,140,165,165,133,120,186,184,182,181,181,180,179,172,176,179,181,183,184,187,186,194,202,194,210,191,151,108,102,115,126,134,109,152,191,183,183,182,182,181,181,173,177,179,181,184,185,187,191,192,166,186,193,182,138,109,102,107,112,110,112,181,188,186,185,184,183,183,182,172,177,179,182,185,186,186,199,179,142,175,143,170,152,120,104,97,106,99,138,194,187,187,187,185,183,183,183,175,178,181,184,185,188,187,202,190,160,133,99,156,171,131,107,96,100,99,164,194,188,188,187,186,186,185,184,176,180,182,184,186,187,189,202,171,138,123,101,135,183,144,117,104,100,99,177,193,190,189,187,187,187,186,184,176,179,182,185,187,187,197,205,167,156,149,123,175,192,154,138,111,104,98,177,196,191,191,189,188,187,186,185,175,180,183,185,187,186,203,201,176,167,139,164,219,188,156,147,117,108,105,180,196,191,192,191,188,188,188,186,176,181,183,184,188,188,205,208,190,155,150,213,208,173,148,144,121,111,113,187,194,192,191,192,190,189,189,187,176,181,184,185,189,188,209,218,180,156,165,219,196,172,144,133,125,110,123,195,192,193,192,191,191,190,188,186,177,181,185,187,190,188,210,204,167,172,169,216,193,173,157,122,118,107,139,200,193,194,194,192,191,190,189,188,177,180,183,185,188,188,204,186,187,179,166,216,189,165,153,124,116,107,158,200,194,194,193,193,192,191,190,188,176,179,181,184,186,188,194,194,210,176,178,207,176,154,137,122,118,111,173,199,193,193,192,191,190,190,189,187,176,180,182,185,187,190,190,200,201,167,165,191,165,141,123,118,113,119,186,197,194,193,193,191,192,190,189,187,177,180,183,185,188,191,192,196,185,166,155,175,161,138,127,119,108,128,196,196,195,194,193,192,192,191,190,188
20,110,112,114,116,119,120,122,124,126,129,128,128,129,130,132,133,121,134,139,138,137,138,139,138,139,139,140,140,111,114,116,118,119,122,125,125,127,129,130,130,132,131,136,143,94,113,122,132,140,139,140,139,140,140,140,140,112,114,118,120,121,123,125,126,128,129,131,133,134,131,140,148,99,126,105,100,146,139,141,141,141,140,140,140,112,115,118,120,121,124,126,128,129,131,132,132,134,134,142,142,103,143,120,90,144,140,142,142,142,141,142,143,114,116,118,121,123,124,127,128,130,132,133,133,136,133,149,153,113,142,122,90,142,142,142,143,143,143,142,143,114,117,120,122,124,125,127,129,131,132,134,134,136,133,157,151,118,153,128,92,142,144,143,144,143,143,143,144,115,118,121,122,125,126,128,131,132,133,134,135,139,135,156,137,121,155,126,90,141,146,145,145,145,145,145,146,116,119,121,124,125,127,129,132,134,133,139,116,114,143,154,123,120,153,120,88,142,148,146,147,147,147,146,146,116,119,122,124,125,128,130,133,133,138,141,121,79,115,157,118,124,154,113,88,144,148,147,147,147,147,147,147,117,120,123,124,126,130,130,131,131,131,142,123,106,90,107,106,117,143,111,93,147,146,148,148,148,147,147,148,117,120,123,124,127,130,127,149,145,99,123,141,137,122,85,74,92,126,105,95,151,147,149,149,149,149,149,148,117,121,124,125,128,130,133,149,144,116,112,133,146,132,102,64,81,108,94,96,153,147,149,149,149,149,149,149,119,122,125,126,129,130,137,141,122,134,93,64,120,148,125,84,79,92,81,96,155,149,150,150,150,150,151,150,118,122,125,126,129,131,137,146,99,96,84,57,84,155,144,107,71,82,77,93,155,149,151,151,152,151,150,150,119,122,125,127,129,130,137,145,126,113,95,79,87,139,162,128,84,74,73,92,156,150,152,152,153,152,151,151,119,123,126,127,130,130,141,161,134,110,94,89,102,125,171,138,104,74,65,87,156,150,153,153,153,152,152,152,120,123,126,127,131,131,146,156,120,103,99,105,111,147,165,138,114,78,60,87,158,151,153,153,153,152,152,152,120,124,127,128,131,130,149,156,128,112,113,107,128,178,157,129,115,80,56,92,158,151,153,153,153,153,153,153,120,125,128,129,131,130,151,160,132,117,115,115,149,180,157,128,111,86,57,102,159,152,154,154,154,154,153,153,121,126,128,130,132,130,149,164,140,120,116,131,158,167,151,131,110,86,56,112,160,152,155,154,154,154,153,153,121,125,127,129,133,130,149,166,139,131,122,134,165,157,145,130,104,87,58,128,159,152,154,154,154,153,154,154,122,125,128,130,132,132,147,166,143,143,132,132,167,156,142,131,102,82,61,139,158,153,154,154,155,154,154,154,122,126,129,130,132,134,140,164,153,150,146,132,157,148,138,129,105,77,62,138,158,154,155,154,154,154,154,154,122,125,129,129,132,137,136,154,157,153,148,138,143,146,132,128,102,78,64,143,158,155,155,154,154,154,154,154,123,126,128,130,132,137,135,148,160,150,138,134,139,141,127,135,108,76,74,151,155,155,155,156,155,155,155,155,122,126,128,129,132,137,135,147,157,139,132,123,133,140,126,136,109,73,91,159,153,155,155,156,155,155,155,155,122,126,127,130,132,137,137,149,154,136,132,124,132,144,122,133,102,67,116,161,153,156,156,156,156,155,155,155,122,126,128,131,132,137,135,151,162,148,139,130,134,145,115,126,95,68,140,158,155,156,157,156,156,156,156,156
6,200,200,200,201,201,202,202,201,203,204,203,204,204,203,204,204,202,203,203,204,204,203,202,202,201,201,201,200,200,201,201,203,203,203,203,203,203,203,203,204,205,205,205,205,205,205,205,205,204,205,204,203,203,202,201,202,201,202,202,203,203,203,204,205,204,203,203,204,205,206,206,206,205,205,207,207,207,207,205,204,204,202,202,204,201,202,202,204,204,204,205,206,206,206,205,205,206,206,208,209,209,208,207,208,207,205,205,207,203,205,205,204,202,204,203,203,206,206,206,206,206,207,209,208,208,208,206,201,196,198,196,197,193,186,172,173,191,188,203,206,204,204,204,205,206,206,206,207,207,206,204,201,194,193,195,188,191,194,209,209,198,188,175,165,177,157,198,208,203,204,204,206,207,208,207,203,195,188,190,190,191,204,205,192,183,186,188,181,167,151,144,147,154,174,209,207,202,203,205,207,207,205,202,197,188,179,177,182,186,180,171,156,143,136,136,149,158,168,181,195,204,210,208,208,203,204,205,203,202,201,199,200,188,168,147,139,133,122,120,120,124,159,196,209,213,215,214,212,209,208,208,208,202,202,201,197,195,197,198,197,195,180,139,108,98,103,128,161,195,215,213,212,209,207,208,209,209,208,207,207,202,195,194,195,197,194,197,201,200,171,133,105,99,103,126,212,216,207,210,210,208,208,209,208,209,208,207,206,193,194,195,195,193,197,204,203,175,131,118,105,100,107,104,124,197,217,209,210,209,209,209,208,209,207,208,207,195,197,193,195,195,201,200,200,188,163,125,98,98,113,111,98,103,189,217,210,210,210,210,210,210,209,208,208,201,197,194,197,200,198,199,210,211,185,135,99,93,106,124,122,104,107,208,213,211,212,211,211,209,208,208,208,198,198,198,195,198,203,202,213,204,164,126,102,100,99,106,113,116,92,177,219,210,211,211,211,210,209,209,209,200,199,197,195,198,200,196,202,194,154,117,101,103,103,93,95,101,117,201,219,215,215,215,215,214,214,211,208,202,196,193,191,187,189,191,196,194,167,124,91,98,107,108,105,91,162,194,194,197,200,203,201,196,196,206,212,197,194,193,192,189,192,196,202,205,178,125,94,85,95,125,106,100,114,113,117,120,118,114,123,157,190,216,216,193,199,198,195,195,199,201,207,202,164,111,98,98,89,97,110,111,115,112,110,104,129,157,187,215,215,222,222,196,196,192,191,190,187,183,192,170,137,113,103,102,99,97,117,127,114,123,138,173,215,227,207,194,200,202,214,191,184,180,182,174,165,163,164,145,127,116,111,107,98,100,109,134,182,207,213,220,208,201,202,192,184,195,199,178,180,174,166,158,154,153,148,131,115,111,113,112,102,110,157,219,233,224,214,204,191,182,184,189,181,174,177,157,162,159,150,144,137,126,124,125,115,117,112,114,146,203,235,224,209,206,203,189,176,172,173,181,177,168,172,120,125,125,123,115,110,110,114,115,118,109,143,202,233,233,225,214,203,198,202,180,159,167,167,170,173,168,168,96,97,103,106,107,113,116,116,120,105,158,218,230,223,215,209,200,198,199,199,173,143,158,162,158,168,163,160,106,106,115,117,113,114,117,117,104,166,228,209,212,199,207,201,187,193,198,200,170,132,143,155,155,161,157,163,112,112,114,113,113,114,113,105,170,227,203,196,197,197,204,191,179,182,194,198,171,127,128,146,151,154,162,158,113,112,112,112,114,112,122,183,222,206,196,186,195,196,200,184,171,172,187,199,173,130,122,137,150,156,166,150
1,177,178,179,179,179,181,183,182,183,184,184,181,169,176,182,182,181,180,180,179,179,178,178,176,175,174,173,172,180,181,181,182,183,184,184,185,186,187,188,183,151,138,180,182,186,184,183,183,182,181,181,180,179,179,177,175,182,184,184,185,186,187,187,188,188,178,173,189,159,103,122,142,182,189,187,187,186,185,184,183,181,181,180,179,185,186,187,187,189,190,191,191,191,169,124,176,168,95,102,120,147,193,189,189,188,187,186,186,184,182,182,181,187,189,190,190,191,192,194,194,193,180,122,154,171,102,109,134,109,188,193,192,191,190,189,187,187,186,185,185,188,191,192,194,194,194,195,196,194,190,131,131,174,119,122,145,100,174,197,194,193,192,192,192,190,188,188,188,191,193,193,194,195,196,196,188,184,195,144,115,161,119,129,159,109,159,200,196,196,195,195,194,193,192,191,189,194,195,195,196,197,199,198,171,138,193,154,101,150,120,121,159,116,149,202,199,199,197,196,196,195,195,193,191,195,196,197,198,199,201,200,178,121,178,156,98,154,136,101,161,130,141,203,200,200,199,198,198,197,197,196,195,196,198,200,200,201,202,202,181,121,166,171,107,137,142,102,160,149,135,204,202,201,200,199,200,200,199,198,197,198,200,201,201,202,203,204,186,124,155,179,110,105,133,128,156,131,121,191,200,204,203,202,201,202,201,200,200,199,202,203,203,204,205,204,190,132,128,172,111,107,127,132,146,115,106,114,144,205,204,203,202,202,201,200,201,202,203,205,205,207,207,204,197,144,110,157,127,129,125,133,145,133,111,91,101,186,207,205,204,203,201,201,202,202,204,205,206,208,209,205,198,159,135,146,126,132,127,149,166,136,102,124,122,146,208,206,206,205,203,203,202,204,206,207,208,209,209,209,204,174,145,136,120,129,134,155,163,146,144,176,156,124,194,208,207,206,206,205,204,205,207,209,209,210,210,211,209,181,143,123,117,127,137,163,172,172,167,159,161,117,153,211,207,207,206,206,206,206,207,209,209,211,212,211,212,191,149,115,117,130,143,175,181,196,194,164,136,96,104,205,209,208,207,206,207,207,209,210,211,212,214,211,213,209,166,122,120,133,157,177,187,194,188,162,132,89,91,200,212,211,208,207,208,208,209,212,213,212,214,214,211,217,189,145,120,136,164,182,198,200,186,163,136,88,113,209,212,212,210,209,209,209,210,213,215,215,216,216,208,221,209,171,132,133,158,189,207,203,189,173,134,85,145,217,213,213,213,212,210,209,211,213,215,217,217,218,208,218,217,189,149,140,156,190,211,207,198,171,122,84,177,217,214,214,214,212,210,211,213,214,216,216,216,217,212,207,213,201,162,149,155,186,204,211,195,155,107,95,203,216,215,215,215,214,211,211,214,215,216,216,216,218,217,196,203,201,172,151,150,175,195,195,170,128,89,122,218,218,216,216,215,215,213,210,213,213,215,216,216,217,218,200,188,190,174,157,150,158,170,162,131,96,84,175,220,218,216,216,215,215,214,210,213,214,215,216,217,217,218,213,184,182,174,161,155,139,140,141,111,79,132,215,219,218,216,216,215,214,212,211,214,214,215,216,217,218,219,219,195,188,172,156,151,129,126,126,95,83,190,220,218,217,216,216,215,214,212,212,214,214,215,216,217,218,219,219,199,190,165,150,149,134,126,109,82,108,214,219,219,218,217,217,216,215,213,212,213,215,216,216,217,217,219,221,198,198,185,168,164,145,131,102,76,127,220,220,220,220,218,217,217,216,214
24,219,223,225,228,232,235,235,236,238,239,239,241,241,242,242,242,242,242,241,241,240,240,241,239,239,237,235,234,222,226,229,232,234,238,238,239,241,242,242,243,244,245,243,244,246,246,244,244,243,243,243,241,242,240,238,237,224,227,231,234,237,240,241,242,243,245,246,246,247,247,245,247,248,248,249,248,245,244,245,245,243,241,239,239,226,229,232,234,237,240,242,245,246,248,249,250,250,249,250,250,251,249,250,249,248,248,248,248,246,245,244,243,227,230,233,237,238,241,246,247,249,251,250,251,251,251,253,254,254,253,254,252,251,253,251,250,250,249,248,245,230,233,237,241,242,249,245,249,251,251,252,252,254,255,255,255,255,255,255,255,252,254,253,253,253,252,250,247,232,235,242,238,255,255,208,250,254,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,252,250,236,239,243,243,255,255,205,230,255,255,255,255,255,255,255,255,255,255,255,235,255,255,255,255,255,255,255,252,237,241,244,250,247,255,246,206,255,255,255,255,255,255,255,255,231,255,255,215,208,255,255,255,255,255,255,255,238,242,247,252,248,255,255,236,231,255,255,255,255,255,255,255,209,255,255,231,166,255,255,255,255,255,255,255,240,245,249,252,255,252,255,255,208,245,255,255,255,252,255,255,223,255,255,235,155,241,255,255,255,255,255,239,243,247,251,255,255,255,255,255,255,247,255,255,255,251,255,255,224,225,255,217,144,234,255,255,255,255,253,193,244,249,253,255,255,255,255,255,255,255,255,255,255,255,239,255,239,184,248,198,135,205,255,255,249,255,219,173,247,252,255,255,255,255,255,255,255,255,255,255,255,255,202,255,250,159,194,209,134,145,253,239,251,244,173,216,250,253,255,255,255,255,255,255,255,255,255,255,255,247,195,218,234,167,189,227,150,196,220,254,255,181,198,255,251,255,255,255,255,255,255,255,255,255,255,244,243,255,247,184,251,197,167,236,255,255,255,248,209,179,255,255,252,255,255,255,255,255,255,255,255,255,255,255,249,255,255,224,249,212,217,255,255,255,253,212,168,223,255,255,254,255,255,255,255,255,255,255,255,255,255,255,249,254,255,255,255,255,255,255,255,255,241,192,181,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,255,255,255,255,255,255,255,255,226,173,221,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,195,173,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,239,175,217,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,222,182,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,246,214,167,233,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,249,255,255,245,212,161,177,255,255,255,255,255,255,255,255,255,255,255,255,255,230,210,215,227,255,252,247,253,255,255,255,234,195,136,254,255,255,255,255,255,255,255,255,255,255,255,255,255,197,165,167,142,136,135,144,140,146,141,130,130,125,113,176,234,255,255,255,255,255,255,255,255,255,255,255,255,215,168,173,148,130,120,105,93,83,72,71,68,67,73,48,137,255,255,255,255,255,255,255,255,255,255,255,255,230,169,167,145,127,120,109,99,88,80,77,75,72,72,62,244,255,255,255,255,255
1,178,179,182,183,185,186,186,186,187,187,187,187,186,186,186,184,182,186,181,180,179,178,177,175,174,173,171,171,180,181,184,185,187,188,188,188,188,188,189,188,188,189,186,188,178,152,183,183,180,179,178,178,176,174,173,172,181,184,187,188,189,191,191,190,191,189,191,191,190,190,187,201,184,101,162,179,183,181,180,179,179,177,176,174,183,186,187,190,191,193,195,194,194,193,194,193,191,196,175,178,180,115,165,127,172,187,183,181,180,180,177,176,186,188,190,192,193,195,197,196,196,196,196,197,193,208,158,141,167,116,179,120,156,193,185,184,183,181,180,179,188,190,193,195,195,197,198,197,198,198,198,198,198,211,145,144,170,119,174,118,143,198,186,187,185,183,182,181,190,191,193,197,197,198,200,200,201,201,201,198,190,208,129,141,168,119,171,122,136,200,190,190,188,187,185,183,192,194,196,199,200,201,202,203,204,203,204,202,151,196,127,135,165,118,170,132,134,200,193,193,190,190,187,186,193,197,200,201,202,203,204,203,204,203,213,186,129,185,118,151,168,117,162,131,134,202,194,194,193,191,189,189,196,198,200,202,204,205,205,205,206,205,219,166,120,171,115,184,172,121,180,148,131,205,196,197,195,193,192,190,197,199,203,205,204,205,208,210,208,208,220,153,130,184,122,178,153,118,199,155,136,207,199,199,196,195,193,193,198,201,205,208,208,210,210,211,210,216,220,128,137,178,103,152,122,112,195,143,139,209,200,200,198,196,195,194,201,203,205,209,211,212,211,212,210,223,215,137,171,147,115,153,137,157,190,137,141,210,202,203,201,198,197,195,202,204,207,210,212,214,212,213,210,231,200,130,191,179,170,160,151,179,172,133,143,212,202,203,203,202,200,197,203,205,208,211,214,214,215,215,213,233,198,174,153,185,203,202,163,135,142,126,142,214,206,205,204,202,201,198,205,207,210,212,213,215,216,215,221,229,202,175,127,152,162,193,197,171,133,103,139,217,208,208,206,203,202,200,205,209,211,212,213,216,218,214,228,227,178,149,138,143,148,185,205,195,176,122,134,221,208,209,207,205,205,202,206,211,213,214,215,217,219,215,236,230,169,153,160,152,178,200,202,212,185,159,121,200,215,210,209,206,204,203,208,211,214,215,218,219,220,217,239,231,177,160,163,163,203,227,212,200,177,158,113,186,219,210,210,208,206,204,209,212,214,216,218,219,220,217,235,235,194,171,158,175,224,237,212,184,155,137,112,186,219,210,210,210,207,204,209,212,216,218,219,221,220,218,232,245,214,178,165,171,236,245,205,166,140,119,112,185,221,212,211,211,207,205,210,213,216,218,221,223,223,221,228,241,212,182,171,160,235,229,192,156,134,115,119,205,219,215,213,211,210,208,211,213,217,219,220,221,223,223,225,234,209,193,172,168,223,208,178,148,128,113,138,220,216,216,214,212,211,209,211,213,217,219,221,222,223,224,224,227,219,214,183,195,215,189,163,139,124,114,179,224,216,217,215,212,211,209,212,214,217,219,222,223,223,224,224,222,223,214,180,176,191,174,148,130,118,128,213,220,219,217,215,213,212,210,213,215,218,220,222,223,224,225,226,225,216,197,172,159,166,162,144,129,115,149,226,219,219,218,216,213,212,212,213,215,218,221,223,223,224,224,225,226,209,182,170,171,167,163,159,129,112,180,228,220,218,218,216,213,213,212,211,214,216,219,221,222,223,223,223,223,219,197,196,189,170,157,157,122,109,203,223,218,218,217,215,213,211,211
20,100,102,104,107,109,111,113,115,117,120,119,119,121,122,124,124,112,126,131,130,129,130,131,130,131,131,132,132,101,104,106,109,110,113,116,116,118,121,121,122,123,122,128,135,83,104,113,123,132,131,132,131,132,132,132,132,102,105,109,111,112,114,116,117,119,121,123,125,125,123,132,140,89,117,95,89,138,131,133,133,133,132,132,132,103,105,109,111,112,115,117,119,120,122,124,124,125,125,134,135,93,135,110,78,136,133,134,134,134,134,134,135,105,106,109,112,114,115,118,120,122,124,124,125,128,125,141,145,103,135,113,79,134,134,135,135,135,135,134,135,104,108,111,113,115,116,119,120,122,124,125,126,128,125,150,144,109,146,119,81,134,136,135,136,135,136,135,136,105,109,112,113,116,118,120,123,123,125,126,127,131,127,149,129,112,148,117,78,133,139,137,137,137,137,137,138,106,109,112,115,116,118,121,123,126,125,131,107,105,135,147,114,110,146,110,76,134,141,139,139,139,139,139,139,106,110,113,115,117,120,122,124,125,130,133,112,67,105,150,109,115,147,104,77,137,141,140,139,140,139,139,140,107,111,114,115,118,121,121,122,123,122,135,114,96,79,97,96,108,135,101,82,140,139,140,140,140,140,140,140,108,111,114,115,118,122,118,142,138,88,114,133,129,113,74,62,81,117,95,84,143,139,141,142,141,141,141,140,108,111,115,116,119,121,125,142,137,107,102,125,138,124,91,51,69,98,83,85,146,140,141,142,142,142,142,141,109,112,116,117,120,122,129,133,113,126,82,51,111,141,116,73,67,80,70,85,148,141,143,143,143,143,144,143,109,113,116,117,120,122,129,138,88,85,72,44,73,149,137,97,58,70,65,81,148,142,144,144,144,143,143,143,109,113,116,119,120,122,129,137,117,104,84,67,75,131,155,119,72,61,60,81,149,143,145,145,145,145,144,144,110,113,117,118,122,122,133,154,125,100,84,78,91,116,165,130,94,62,52,75,149,143,146,146,145,145,145,144,111,114,117,118,123,122,139,149,111,93,88,94,101,139,159,130,105,66,46,76,151,143,146,145,145,145,145,145,111,115,118,120,122,121,141,149,119,102,103,97,119,172,150,121,105,68,43,81,152,144,146,146,146,146,145,146,111,116,119,121,123,121,143,153,123,108,106,106,142,175,150,119,101,75,44,92,152,144,147,147,147,147,146,146,112,117,119,121,124,121,142,158,132,110,106,123,151,160,144,123,100,75,43,102,153,144,148,147,147,147,146,146,112,116,118,120,124,122,141,160,131,122,113,125,159,151,137,121,94,76,44,119,152,145,147,147,147,146,147,147,113,116,119,121,123,124,140,160,136,135,124,124,160,149,134,122,92,70,48,131,151,146,147,147,148,147,147,147,113,117,120,122,123,125,132,157,146,143,138,123,150,141,130,120,95,65,48,130,152,147,148,147,147,147,147,147,113,116,120,121,124,129,128,147,150,146,141,130,135,139,124,120,92,66,51,135,151,148,148,147,147,147,147,147,114,117,119,121,124,128,127,140,153,143,130,125,130,133,118,127,98,64,62,144,148,148,148,149,148,148,148,148,113,117,119,121,124,128,127,140,150,131,124,114,125,132,117,128,99,60,80,153,146,149,148,149,148,148,148,148,113,117,118,121,123,128,129,142,147,127,124,115,123,136,113,125,92,54,106,155,146,149,149,150,149,148,148,148,113,117,119,122,123,129,127,144,156,140,131,122,126,138,105,117,84,55,132,151,148,149,150,149,149,149,149,149
2,179,180,180,181,181,180,180,179,179,177,176,176,175,174,173,174,174,170,169,169,168,166,166,163,162,160,159,159,181,182,182,181,182,182,181,181,180,180,179,178,177,176,174,175,175,172,172,172,170,167,166,165,164,162,160,158,182,182,183,183,182,182,182,182,181,180,180,180,180,179,175,177,177,175,174,173,172,169,166,166,165,164,161,158,184,184,184,184,183,184,184,183,182,182,182,180,177,173,174,172,171,176,176,175,174,171,168,167,165,164,163,160,186,186,186,185,185,185,185,184,183,184,182,189,183,168,170,166,148,152,156,161,163,167,171,170,166,165,164,162,187,188,187,187,187,186,186,187,186,183,193,216,208,202,202,201,182,155,130,116,115,149,161,165,168,166,165,163,188,188,187,187,187,187,188,187,187,177,180,194,187,179,183,189,185,180,156,119,123,151,123,132,174,166,165,165,188,189,189,189,188,188,190,185,191,203,192,196,200,186,170,157,134,144,163,157,174,135,96,149,174,167,166,165,190,191,192,190,190,190,188,191,216,206,196,194,197,194,184,178,146,151,155,134,140,111,130,178,171,170,169,166,191,192,192,192,192,191,189,213,202,158,144,158,170,159,158,191,155,143,156,102,122,144,172,175,172,170,170,168,192,192,193,193,192,192,209,212,171,173,187,191,191,174,171,180,126,103,122,135,180,180,179,179,177,172,170,170,193,192,194,194,193,196,218,192,191,211,214,188,162,149,132,127,140,172,174,182,182,184,174,153,144,164,174,170,193,193,194,194,194,203,205,204,203,187,162,139,108,94,72,119,196,186,188,182,185,152,106,90,88,100,163,173,194,194,195,194,194,204,208,215,182,139,109,87,79,75,64,76,187,186,183,190,144,85,92,101,106,83,146,178,194,194,195,193,191,210,221,194,152,111,84,73,73,70,72,58,115,199,195,166,89,96,108,113,105,112,168,174,194,194,196,191,188,227,215,164,118,96,81,70,72,72,72,72,65,119,174,119,86,114,113,102,128,166,175,172,195,195,197,190,198,232,193,141,107,99,76,68,74,72,72,75,78,61,68,95,98,110,101,126,179,177,174,173,196,196,198,189,199,214,170,128,107,90,68,72,75,80,82,85,90,86,68,96,103,99,103,169,182,177,175,173,195,196,197,188,196,205,164,125,100,82,69,73,82,89,91,97,100,103,86,98,106,97,132,187,179,179,177,175,193,193,196,182,198,207,164,126,99,87,71,75,86,97,102,106,111,115,102,93,108,96,160,186,179,179,177,174,194,194,198,175,199,200,159,129,106,94,78,75,89,104,115,118,121,120,109,96,100,141,181,180,179,177,172,173,195,195,201,177,198,193,156,130,108,100,89,77,94,111,117,120,123,117,104,103,152,183,182,181,177,177,196,212,194,195,199,177,192,191,160,133,114,106,96,79,94,111,116,117,116,113,96,138,191,182,182,180,198,202,232,234,194,195,199,177,189,186,154,132,120,110,97,82,98,106,109,109,107,98,119,179,185,184,178,222,253,220,207,237,198,199,202,182,186,184,150,133,117,108,99,89,101,100,102,103,98,121,178,191,190,180,211,250,237,249,211,208,168,168,173,161,184,181,151,131,113,106,102,97,101,100,98,101,124,165,174,172,162,206,244,245,233,225,243,197,98,99,96,111,197,176,146,123,111,108,106,100,93,100,103,91,94,94,96,83,158,250,242,245,228,211,232,229,98,102,94,142,197,170,146,118,110,108,105,102,93,100,99,90,90,93,82,132,251,241,242,248,221,200,226,228
19,51,54,59,63,71,78,83,87,91,93,95,98,101,104,106,108,110,111,113,114,116,118,118,119,120,121,122,122,51,55,59,64,72,78,84,89,92,94,96,99,102,105,107,110,112,112,115,116,117,118,119,122,122,123,124,123,52,57,61,66,73,80,85,91,94,96,98,101,103,106,108,111,112,114,117,118,119,120,122,123,124,125,126,125,53,58,63,67,74,82,87,92,95,97,100,102,105,109,112,114,116,117,118,120,122,123,125,125,126,127,125,127,54,59,63,68,76,83,89,93,97,99,100,103,106,110,111,115,119,121,119,122,123,124,125,125,127,125,133,123,54,59,64,69,77,84,90,95,98,100,101,105,109,110,122,121,98,112,125,122,124,126,126,127,125,143,152,74,54,59,65,70,78,85,92,96,99,100,104,106,110,109,151,128,90,67,117,124,124,126,133,135,143,148,98,61,54,60,65,70,79,86,93,98,100,102,104,109,112,108,141,142,99,83,120,137,129,132,143,143,129,88,65,115,55,61,65,72,81,87,93,99,101,101,108,104,110,116,128,140,131,138,135,131,123,111,122,109,72,76,119,138,56,62,66,72,83,89,95,100,99,125,140,108,102,108,119,125,120,111,103,110,96,79,78,80,106,136,137,134,57,62,66,73,82,89,96,100,102,152,127,112,113,117,126,126,116,105,102,91,91,63,119,135,141,136,137,137,56,63,66,74,82,89,97,97,114,141,104,103,111,124,130,126,123,117,100,66,58,77,145,135,136,138,138,137,58,63,67,75,84,90,98,94,128,136,112,110,116,115,107,102,105,92,77,60,43,96,144,135,138,139,138,139,59,64,68,76,84,91,97,98,162,150,130,128,128,120,117,111,99,59,54,58,46,116,143,138,140,140,141,141,59,64,68,78,87,93,99,104,161,145,128,115,108,114,116,110,89,57,50,59,53,128,141,139,141,141,143,142,59,64,69,78,86,94,100,104,145,137,115,98,78,75,91,88,83,60,54,55,75,142,139,140,141,141,143,143,60,64,69,80,87,95,101,103,136,137,116,75,64,42,34,68,88,63,56,59,74,145,140,141,141,142,143,144,61,64,69,80,89,96,102,102,134,140,115,78,53,22,59,87,88,59,55,55,55,134,143,140,142,144,145,145,61,64,71,81,88,96,104,97,132,141,116,90,69,43,46,55,47,41,47,55,55,127,146,142,143,144,144,145,61,64,72,81,89,97,106,96,135,144,117,95,72,61,49,36,36,46,52,57,57,130,147,143,144,145,145,145,62,64,72,82,90,98,106,97,136,142,116,94,74,66,66,53,44,47,52,55,64,138,144,145,146,147,147,147,62,66,73,84,91,98,106,97,127,136,112,92,73,65,64,54,45,51,56,54,81,148,142,147,147,147,147,147,62,66,74,84,93,98,107,98,125,131,109,87,72,65,62,55,50,55,62,52,110,151,145,147,147,148,149,149,61,66,75,84,93,100,106,104,130,127,105,84,70,63,63,60,57,59,54,71,142,145,146,148,148,149,149,149,61,66,76,85,93,100,104,107,139,126,102,80,67,64,66,63,59,54,78,133,145,144,147,148,148,149,150,150,62,66,77,86,94,102,104,109,137,120,103,85,71,67,66,64,55,72,140,144,143,146,148,149,149,150,150,150,63,67,77,86,94,103,104,117,129,113,100,87,72,63,59,60,50,108,145,143,146,147,149,150,150,150,151,152,62,67,76,86,95,104,104,133,130,111,92,78,65,55,53,56,54,121,144,144,147,148,149,150,150,151,153,153
12,98,111,123,130,134,141,149,156,159,163,166,171,175,179,182,185,188,190,193,194,195,196,197,198,199,201,201,201,101,114,125,131,136,144,152,158,161,164,169,173,177,182,185,187,190,193,195,197,196,199,201,202,203,204,203,203,103,116,129,133,137,146,154,160,163,167,172,176,180,184,187,190,191,175,180,198,199,199,199,204,204,205,205,205,105,119,130,135,139,148,156,162,165,170,174,179,183,187,189,196,200,139,112,170,196,172,136,172,206,206,207,207,108,121,131,137,141,150,158,163,168,172,176,181,186,173,157,199,204,147,109,106,146,159,115,100,189,208,209,209,109,123,134,138,144,153,160,165,171,174,178,183,204,163,116,118,194,170,128,98,98,155,130,96,143,212,211,210,111,125,136,140,146,155,161,167,172,178,180,195,213,168,125,99,166,191,147,111,86,149,142,110,118,214,214,213,113,127,138,142,148,156,163,169,175,179,183,207,202,191,151,125,131,203,168,116,84,121,138,116,103,214,215,216,116,130,139,144,150,159,165,171,176,180,194,194,178,209,177,137,105,178,181,121,84,88,123,110,90,212,217,218,118,132,141,145,152,162,167,172,175,179,209,162,160,200,188,137,105,133,180,121,84,70,112,96,83,211,219,220,120,134,142,147,154,162,169,172,164,159,177,157,143,167,184,146,108,90,159,114,81,64,99,92,86,213,220,221,122,135,143,147,154,162,180,193,183,180,174,141,100,84,165,140,93,64,133,118,85,65,92,93,94,217,222,222,124,136,144,148,155,163,189,214,207,207,191,121,82,42,119,112,78,51,102,130,115,74,102,109,107,221,222,224,126,138,145,150,157,164,196,208,177,172,158,99,79,45,72,96,83,43,77,158,133,86,108,118,84,196,224,225,127,140,146,151,158,165,193,193,161,135,150,119,85,53,42,94,90,57,99,161,141,92,89,107,72,156,225,226,129,141,146,152,159,167,185,169,138,107,128,140,87,63,37,70,78,97,154,157,135,89,75,82,78,176,226,228,128,140,147,151,160,167,183,186,158,127,104,142,92,71,52,63,99,148,170,162,144,115,91,82,100,215,228,229,129,140,146,150,158,167,187,189,162,132,109,124,97,75,60,72,135,167,173,171,156,127,97,79,156,229,224,204,131,141,146,150,160,168,188,187,174,156,116,98,112,99,81,92,169,179,178,181,152,120,94,90,205,194,185,152,131,141,147,152,161,169,186,185,182,163,113,110,135,119,97,113,182,188,190,173,132,109,90,115,198,125,125,174,131,141,147,153,161,170,181,181,177,168,114,124,138,113,122,166,193,195,184,151,115,97,84,119,117,123,109,122,131,141,146,152,161,169,176,174,175,165,124,131,140,117,155,176,194,188,166,130,99,88,97,153,114,144,113,108,129,139,143,149,158,167,174,176,180,161,130,134,139,119,157,165,183,175,150,113,89,82,130,175,121,108,146,182,107,112,116,119,124,128,134,151,173,160,139,139,136,122,147,164,165,154,124,94,81,100,125,129,124,116,149,150,104,105,105,107,109,108,107,118,174,162,145,139,131,126,135,155,148,121,96,83,88,119,176,155,143,149,121,140,106,105,108,109,110,112,113,114,173,175,153,136,131,129,129,142,131,100,83,86,164,179,210,209,199,170,136,179,107,107,107,109,110,111,112,113,159,165,151,132,124,120,121,129,115,90,74,113,216,200,176,180,184,148,127,132,106,108,109,111,112,112,113,115,160,162,121,105,103,105,113,113,95,79,67,104,216,186,192,199,221,193,145,114
15,99,109,119,123,124,129,137,144,149,153,158,162,165,167,170,173,175,179,181,184,186,188,190,191,193,194,195,196,102,110,119,123,125,129,137,144,149,154,159,162,165,168,171,173,177,180,182,185,188,189,191,193,195,195,196,197,102,111,120,123,127,132,139,145,150,156,160,162,165,169,172,175,179,182,185,188,189,190,193,194,195,196,197,199,104,113,122,125,128,134,140,146,152,156,159,164,167,170,173,177,180,183,186,187,188,191,194,195,196,197,198,199,104,114,121,125,128,134,140,148,152,156,160,164,166,171,174,177,181,183,186,188,191,193,195,196,196,197,199,199,115,120,129,131,134,142,147,151,149,153,156,160,166,170,174,177,180,184,188,189,192,195,196,198,199,199,200,201,144,133,138,141,144,154,162,165,169,167,159,156,157,159,168,169,164,164,174,189,194,195,197,199,200,200,201,202,129,111,116,124,139,152,157,166,182,176,168,169,172,180,176,177,176,155,139,132,174,198,197,200,200,201,202,202,98,96,103,106,114,126,135,150,176,184,183,184,184,187,190,177,172,188,143,114,105,166,201,200,200,202,202,202,109,120,125,124,127,131,135,137,146,159,174,193,197,171,171,178,145,197,143,115,126,113,166,203,199,201,201,202,109,119,125,127,132,139,143,153,144,129,135,141,166,163,146,154,135,198,145,108,142,147,99,172,201,201,201,203,110,120,126,127,132,138,144,173,135,117,108,120,152,158,126,120,125,163,141,125,144,149,104,97,193,202,201,201,110,121,125,127,132,137,155,186,120,104,116,134,164,156,129,117,124,117,117,130,145,134,92,71,123,205,200,202,111,121,125,127,132,139,153,196,133,109,134,146,161,148,124,118,119,119,120,135,148,143,97,72,69,144,203,205,111,121,126,127,132,137,170,201,196,158,137,124,125,118,102,101,104,114,129,141,145,140,104,77,72,74,131,196,111,121,125,127,132,136,180,204,193,197,172,120,69,62,61,55,62,83,113,133,129,121,98,86,84,77,71,102,110,119,124,126,132,137,161,200,194,178,183,186,110,35,40,35,40,49,78,122,129,123,114,111,98,87,79,75,100,105,110,114,119,122,129,183,195,174,168,194,117,51,42,36,46,43,75,133,145,143,137,129,113,93,84,82,79,82,84,83,86,85,95,197,189,171,158,155,86,57,46,41,51,50,64,115,137,141,139,131,114,95,83,88,86,87,88,88,90,92,94,171,198,176,141,132,110,64,48,49,53,61,72,87,111,122,127,123,111,95,86,88,88,87,88,91,91,93,92,105,148,165,151,136,125,81,56,55,52,61,75,81,93,113,119,113,101,95,91,88,88,89,90,91,91,93,94,92,95,101,102,101,94,86,66,60,52,57,74,84,77,98,110,108,100,95,93,92,88,88,90,91,92,91,93,93,93,96,96,95,95,100,94,82,80,75,85,97,90,91,103,100,95,89,90,93,88,88,88,91,92,92,94,94,95,97,98,98,99,107,114,127,123,109,125,133,137,128,122,114,94,85,97,101,87,87,88,89,91,93,94,94,94,96,97,98,98,98,99,121,115,138,163,167,161,153,137,124,105,102,119,118,87,87,88,89,91,93,93,93,95,97,97,98,98,99,98,97,97,114,138,148,153,134,117,106,111,119,123,138,87,88,89,89,91,91,93,93,94,95,96,96,97,96,97,99,99,101,97,110,120,107,119,127,120,113,125,151,86,88,89,90,90,90,92,93,93,93,94,95,95,97,97,98,99,99,99,100,99,114,134,136,113,118,134,153
24,166,166,168,168,168,169,171,171,171,171,172,172,171,171,171,170,169,168,167,166,166,165,163,161,161,159,158,157,169,170,171,172,172,173,173,174,174,175,175,173,174,174,173,173,173,172,170,169,169,167,165,167,166,162,161,161,172,173,174,175,176,176,176,178,178,178,178,176,175,177,178,176,176,174,174,173,172,171,168,157,159,168,165,164,174,176,177,177,179,180,181,181,180,180,179,180,180,179,180,179,178,178,176,175,174,173,176,148,103,169,167,165,177,179,180,181,181,181,181,181,182,184,184,182,182,181,181,181,180,180,179,178,177,173,182,152,85,162,171,168,179,181,181,182,183,184,185,185,186,182,179,188,183,183,183,183,182,181,181,180,180,176,188,150,88,166,174,171,182,183,184,184,186,188,187,187,190,177,114,171,192,187,189,188,187,185,184,182,182,180,192,138,93,175,175,173,185,186,188,189,189,188,189,189,193,167,106,116,198,188,191,190,189,188,187,187,184,186,197,135,102,184,177,175,187,188,190,190,190,191,191,190,195,180,133,88,183,194,190,192,192,190,189,188,183,193,188,118,112,190,178,177,190,191,192,191,193,194,194,194,194,192,155,85,155,203,190,193,194,194,190,191,190,207,173,92,128,193,179,181,192,192,194,195,195,195,195,195,195,198,172,104,117,206,193,196,194,189,198,188,146,154,176,85,158,191,183,183,194,195,196,196,196,196,196,196,196,199,184,135,87,191,202,195,169,139,158,171,127,74,117,99,183,190,187,185,196,196,197,198,198,199,199,199,199,201,192,150,79,147,212,180,171,153,131,126,124,122,77,97,196,188,189,187,196,198,200,200,200,201,201,201,201,202,198,164,117,106,206,170,182,152,144,138,147,153,64,113,205,188,189,188,199,200,201,201,202,203,203,202,202,202,204,183,155,85,144,140,184,169,129,134,135,134,79,118,206,189,190,189,200,201,202,203,203,204,204,205,204,203,206,196,158,114,120,124,158,184,113,61,112,164,110,81,198,194,193,191,201,202,203,204,205,205,205,205,205,206,209,199,182,175,126,97,119,171,104,47,83,167,137,72,145,205,192,192,203,204,206,207,207,207,207,207,207,208,209,201,192,172,106,75,107,150,86,46,109,184,175,107,77,199,194,194,205,206,208,208,209,209,209,209,210,210,209,207,193,160,130,111,113,147,104,73,187,192,170,112,68,188,198,195,206,208,209,210,210,210,211,211,212,212,211,212,195,183,170,126,110,149,107,152,204,179,155,86,77,201,196,196,206,208,209,210,210,211,212,212,211,212,212,214,193,185,187,137,122,97,141,207,201,165,142,76,97,212,196,197,204,206,209,209,210,212,211,210,211,211,212,214,196,179,188,157,135,94,185,203,189,161,132,71,120,213,197,197,206,207,209,210,211,212,211,211,212,212,213,215,199,177,172,164,148,101,165,199,180,150,121,59,138,211,196,196,208,207,209,211,212,212,212,213,213,214,213,216,205,171,173,171,164,119,150,200,178,138,102,53,170,209,199,198,208,208,210,210,212,213,213,214,214,214,216,216,214,183,178,168,173,136,121,187,160,117,73,67,204,202,200,199,216,216,216,216,217,218,218,218,218,217,219,217,221,195,183,175,171,138,100,153,131,93,45,100,216,199,199,201,169,173,178,182,187,190,193,198,200,204,208,209,213,197,185,173,157,133,110,115,126,83,46,173,216,207,208,197,101,101,100,102,103,105,107,111,112,113,116,119,114,159,196,168,157,152,127,114,130,71,63,155,158,156,139,98
7,219,219,222,223,223,224,223,223,223,223,221,220,220,218,218,216,215,214,212,212,211,210,208,214,174,54,41,56,221,221,223,225,225,226,226,225,224,224,223,222,222,221,224,219,218,216,214,211,214,208,207,215,201,157,128,116,222,224,227,229,229,229,229,228,228,228,225,223,225,214,193,207,211,207,191,192,186,190,219,202,170,113,207,203,226,228,229,231,230,231,231,230,229,226,227,229,231,218,189,195,220,214,188,183,175,180,224,180,157,149,232,160,228,230,231,232,232,231,231,231,236,241,250,250,242,212,198,204,185,171,175,159,160,144,141,169,190,162,154,128,229,231,232,234,235,234,224,231,248,255,255,244,233,224,220,215,184,140,175,187,169,163,149,150,130,159,152,193,232,232,237,234,251,255,236,230,237,242,237,233,231,229,228,208,182,166,175,184,171,171,163,140,113,151,150,160,232,234,237,240,255,255,247,230,231,239,238,236,234,229,226,208,180,162,146,136,127,128,119,113,107,110,131,205,235,238,235,255,255,255,235,207,213,232,238,232,222,203,184,162,141,150,142,145,154,166,170,169,183,194,203,195,238,240,237,255,255,255,218,197,217,209,197,188,171,161,151,134,129,161,244,235,233,235,234,232,228,223,225,178,240,235,254,255,255,251,231,223,212,193,194,200,197,189,182,179,189,117,131,224,233,228,228,225,221,220,220,218,241,237,255,255,255,255,255,248,206,203,209,206,199,181,176,171,162,126,42,126,244,229,230,228,225,223,220,220,235,253,255,255,255,255,255,249,186,187,197,190,182,170,162,151,136,111,57,89,242,231,232,231,228,225,223,221,241,255,255,255,255,255,255,229,192,181,153,128,126,146,161,170,182,151,71,169,241,231,234,232,230,229,225,221,255,255,255,255,255,255,251,229,207,184,160,146,167,208,206,183,190,165,160,251,232,233,233,232,230,229,227,222,255,255,255,255,255,255,244,216,195,205,188,179,200,198,181,169,166,126,160,252,236,236,235,234,232,230,228,225,255,255,255,255,255,243,211,199,221,228,196,185,188,176,170,159,146,88,186,250,239,239,236,234,234,231,229,226,255,255,255,255,253,227,224,238,248,231,205,174,152,133,118,98,92,140,240,242,242,242,239,235,233,232,230,227,255,255,255,255,245,242,245,241,233,214,179,146,106,155,124,142,204,245,246,245,243,242,240,238,234,232,230,229,255,255,255,251,248,252,241,219,214,199,174,126,164,254,253,255,255,247,248,245,241,241,241,240,236,233,232,229,255,251,254,250,242,240,230,213,211,183,123,160,255,252,251,250,249,250,250,246,245,242,241,241,238,236,234,230,249,239,243,241,230,222,214,204,178,122,140,255,254,253,251,250,250,250,248,246,246,245,242,241,239,236,231,226,246,240,233,222,207,202,193,173,119,129,249,255,250,251,251,251,249,250,247,246,243,243,242,239,234,237,237,219,243,232,217,198,180,175,155,108,135,245,255,255,254,254,251,250,249,249,247,246,245,245,240,236,247,207,119,176,218,200,181,158,145,124,96,149,252,255,255,255,255,255,253,251,250,250,248,246,244,242,244,247,219,104,40,48,189,171,159,149,121,120,191,255,255,255,255,255,255,255,253,252,251,250,247,247,253,254,229,158,79,50,45,39,181,177,154,121,120,252,255,255,255,255,255,255,255,255,254,251,252,253,255,243,207,150,83,50,47,52,46,43,207,192,155,105,138,255,255,255,255,255,255,255,255,255,253,250,244,232,182,114,61,34,41,45,40,41,42,42
13,132,134,138,145,151,154,157,158,161,164,168,170,171,173,176,177,177,178,178,180,180,179,179,179,180,180,179,179,134,136,140,146,152,155,158,159,162,165,169,171,172,175,177,178,179,179,180,181,181,181,181,180,182,183,182,180,136,138,142,148,155,157,159,161,164,167,170,172,175,177,179,179,180,181,182,181,182,182,183,183,184,183,183,182,138,140,145,150,156,159,162,164,166,169,171,173,176,179,179,177,181,176,180,188,188,185,184,185,185,185,183,183,139,141,146,152,156,160,163,166,169,171,173,175,178,180,185,206,204,165,127,161,174,184,190,186,186,186,186,185,140,143,148,154,158,162,165,168,170,173,176,177,180,178,180,198,207,164,109,86,128,130,167,191,186,188,188,187,140,144,150,154,160,163,166,169,171,176,178,182,192,151,134,145,195,168,115,83,139,117,97,192,189,189,188,188,141,144,151,155,161,164,166,171,173,177,168,202,216,183,146,104,158,197,142,86,145,116,96,191,190,190,189,189,141,145,153,157,162,165,169,171,174,191,145,129,204,210,172,111,90,194,148,87,151,126,106,197,190,191,190,190,144,147,152,158,163,167,169,170,200,206,163,107,128,222,187,132,64,107,130,77,178,133,137,200,191,193,191,190,146,148,154,160,164,168,167,197,199,205,188,140,76,189,181,126,69,50,77,78,153,110,157,202,192,194,192,192,146,150,157,163,166,166,184,204,155,183,196,151,71,146,173,115,68,45,86,124,136,111,112,199,195,195,194,194,148,151,160,164,168,169,209,202,162,163,176,131,73,117,172,133,65,77,147,154,129,113,98,159,204,194,196,195,151,155,161,167,168,181,203,178,142,145,159,110,62,89,184,146,70,150,181,158,124,99,105,114,203,196,197,197,152,157,164,170,169,193,213,184,150,126,142,111,58,52,168,131,118,195,177,152,123,103,92,110,204,197,198,198,153,159,167,173,172,197,217,189,164,117,113,104,61,94,176,175,192,186,164,137,118,99,74,152,209,198,200,200,154,161,170,176,173,204,224,198,170,131,108,110,138,181,203,206,200,176,152,128,111,88,88,196,201,200,201,200,155,164,171,178,176,209,226,207,170,149,157,151,164,186,201,197,190,167,142,125,103,71,122,213,198,202,202,202,159,167,175,180,180,211,218,215,181,167,169,144,178,188,196,197,178,155,134,115,96,63,162,212,202,203,202,202,163,171,179,184,184,202,213,219,193,178,171,153,182,199,188,183,161,141,123,108,78,93,210,205,206,205,205,204,165,174,181,187,188,191,214,214,201,184,169,158,174,195,185,163,148,129,119,99,80,187,214,207,207,207,206,206,168,176,183,187,192,189,207,206,202,190,180,169,165,185,180,156,137,119,112,79,164,221,208,210,209,209,206,206,170,178,185,189,194,192,197,212,204,200,195,178,163,177,173,146,118,116,88,129,221,210,212,213,210,208,215,215,172,180,188,192,196,194,190,213,198,194,189,170,157,166,158,136,107,104,95,204,216,213,214,213,212,218,186,133,173,183,191,195,198,198,194,207,175,175,183,173,159,160,148,131,114,84,152,225,214,216,214,215,221,152,70,49,175,184,191,195,199,200,194,214,183,185,193,185,162,150,142,132,114,82,188,219,218,217,225,223,143,64,64,42,176,185,191,195,198,201,191,218,194,196,203,186,167,146,141,131,111,85,203,219,218,222,178,105,58,64,74,44,177,186,192,196,199,204,192,214,210,212,210,187,170,149,139,131,107,87,207,217,226,178,75,56,44,54,73,59
2,170,171,172,173,173,173,173,173,173,172,171,171,171,170,170,169,168,167,167,167,167,167,164,165,153,75,67,77,171,172,173,174,174,173,174,174,173,174,173,172,173,171,171,170,170,169,168,167,167,166,164,169,139,66,71,84,173,173,174,176,174,174,175,175,175,174,174,174,172,171,172,170,164,169,170,171,168,167,167,169,151,84,77,82,174,175,176,175,177,176,176,175,176,175,175,173,174,177,177,153,106,121,147,119,168,171,168,166,170,104,80,83,174,176,177,177,178,178,178,177,177,176,177,185,181,166,135,109,85,78,102,78,134,174,168,167,173,116,71,71,175,176,179,179,178,178,179,179,177,182,191,190,147,103,89,81,74,75,80,81,73,143,176,167,174,142,66,53,176,177,179,179,180,180,180,181,178,187,189,156,106,67,71,74,64,68,73,76,63,137,178,170,170,172,79,41,177,179,180,180,181,181,182,180,182,203,157,96,81,67,62,70,72,68,77,91,129,173,172,172,170,174,123,88,178,179,180,180,181,183,183,178,191,199,131,80,78,77,70,73,67,123,166,173,179,173,174,173,171,174,140,128,180,180,181,182,183,184,184,179,204,185,122,85,76,79,70,83,139,179,179,175,174,175,176,174,171,179,103,128,180,180,182,184,184,185,182,188,203,163,106,72,71,71,69,123,192,177,178,177,176,176,175,174,173,178,111,153,181,181,183,184,185,185,182,199,198,153,112,84,82,71,67,131,188,179,179,179,178,177,175,175,175,176,148,137,183,184,185,185,186,185,186,210,192,145,107,91,87,83,67,155,187,180,180,180,178,178,177,176,175,175,174,147,184,186,186,186,187,184,197,212,177,132,99,87,85,85,85,174,185,181,181,180,179,179,178,177,177,176,174,165,184,185,186,187,187,183,209,206,166,124,92,84,83,84,87,176,185,182,182,180,180,180,179,178,177,176,176,168,186,186,186,188,186,186,218,201,159,118,91,85,86,86,93,182,184,183,182,181,180,180,179,179,179,177,175,173,185,186,188,189,184,200,217,188,151,113,90,86,88,81,93,190,184,184,185,183,181,181,182,182,180,179,180,175,185,187,190,189,185,216,210,176,142,106,86,84,80,80,72,144,194,182,184,185,186,182,168,157,146,138,144,174,188,189,190,185,194,218,200,165,130,102,87,78,76,80,82,82,185,193,188,182,161,143,143,140,138,128,90,135,189,190,191,183,206,213,189,154,124,100,85,70,74,79,85,74,118,167,158,140,139,142,149,138,115,116,117,153,189,191,186,188,215,207,183,147,118,98,80,66,80,85,87,90,82,97,123,142,154,146,120,97,126,172,181,180,188,189,180,208,215,202,174,145,114,91,75,71,92,97,104,104,104,109,130,144,130,105,86,137,186,181,178,178,190,179,197,217,210,195,169,139,108,91,73,80,99,104,112,110,109,113,118,105,103,134,165,185,179,179,178,177,180,190,217,208,200,187,164,132,102,91,76,91,103,107,111,109,102,91,90,130,174,189,186,182,180,180,178,177,184,206,207,204,195,180,156,121,98,91,82,101,109,110,104,97,80,96,158,190,188,183,184,184,181,180,179,178,203,200,199,194,180,161,139,107,95,86,87,101,106,106,88,81,142,185,191,185,185,185,184,184,182,181,179,178,199,197,189,173,155,142,115,95,86,85,92,95,99,84,80,155,196,188,185,187,185,185,184,184,182,181,180,180,200,193,176,154,139,130,101,85,83,89,86,86,83,101,170,194,185,186,187,187,186,185,185,184,183,181,180,180
4,132,133,134,135,137,138,138,140,141,141,143,143,143,143,143,142,142,142,141,141,140,139,139,139,140,140,139,137,131,133,134,136,137,138,139,140,141,141,143,143,144,143,143,141,143,143,143,141,141,141,141,140,141,140,139,138,133,134,135,137,138,139,140,140,141,141,144,144,144,143,142,146,142,143,144,143,143,142,142,141,140,140,140,140,134,135,136,137,138,140,141,142,143,143,146,143,155,146,130,128,152,143,129,140,145,143,142,141,141,141,140,140,134,136,137,138,140,141,142,142,144,147,136,152,176,141,132,106,163,138,118,103,144,145,146,143,141,141,141,140,135,138,138,138,141,144,143,141,174,171,146,123,175,151,124,124,172,141,122,79,136,126,126,146,142,142,142,142,135,138,139,138,141,144,140,154,189,185,160,102,152,163,113,138,178,140,105,115,148,111,82,124,147,142,143,143,136,139,140,140,142,144,140,172,177,180,147,99,148,163,121,135,159,146,157,147,104,102,75,86,148,144,144,144,138,139,141,144,144,142,147,180,156,174,135,88,134,153,158,152,162,184,185,149,100,76,73,78,148,145,145,144,138,140,141,143,145,140,157,179,147,161,141,77,117,141,147,163,171,173,161,155,124,80,61,84,151,145,145,144,139,141,143,144,145,143,177,174,144,144,153,76,100,138,94,123,149,153,146,161,132,96,59,94,153,144,146,145,139,141,142,145,141,158,184,153,135,125,109,66,100,144,71,108,141,117,152,167,141,109,66,110,153,145,146,146,140,141,143,146,140,174,176,142,120,121,104,84,101,124,75,112,153,78,154,180,154,121,74,130,153,147,147,146,140,143,145,145,145,187,174,140,116,107,97,92,96,95,91,95,121,90,146,190,164,130,80,110,155,148,148,147,141,143,146,143,151,195,171,141,115,101,87,92,100,99,125,125,141,163,156,172,160,125,95,79,151,150,149,148,142,145,147,141,160,197,170,139,110,104,93,96,95,104,140,150,171,166,168,147,139,130,107,78,143,152,149,149,143,144,147,141,170,197,171,133,113,119,104,92,87,122,161,170,170,162,157,134,111,125,100,87,149,150,149,149,142,144,146,140,178,196,168,136,135,135,109,102,134,172,181,170,169,161,140,121,101,102,81,110,155,149,150,149,141,143,146,141,182,193,170,154,158,140,113,148,179,185,186,170,163,149,130,113,96,86,79,140,152,151,150,149,141,143,146,143,186,192,180,167,160,149,120,166,183,186,190,164,146,137,122,110,93,72,108,156,150,151,149,150,142,144,146,144,187,194,186,169,155,152,128,170,188,187,180,155,133,124,116,104,84,79,146,154,151,151,150,150,142,144,148,142,179,197,185,173,155,148,142,173,186,174,163,145,124,117,110,94,73,112,158,150,152,152,152,151,143,145,148,142,170,193,178,170,159,148,147,163,172,160,145,130,121,119,103,80,81,149,154,154,152,152,151,150,143,144,148,142,172,185,167,165,165,154,149,155,163,152,139,122,116,113,96,72,123,160,152,152,152,151,150,149,142,144,148,141,171,178,160,165,166,150,137,152,164,151,133,112,107,106,83,100,156,154,154,153,151,151,151,150,141,144,148,142,164,180,163,165,157,149,133,146,166,147,118,99,101,93,86,144,154,152,153,152,150,149,150,149,103,102,107,96,141,189,171,170,156,151,135,138,162,136,107,95,94,84,83,97,96,95,95,95,94,96,96,92,79,78,82,68,123,199,180,175,163,156,140,129,158,135,106,93,86,79,74,73,71,72,71,71,71,70,74,127
1,178,180,180,180,181,181,181,181,182,181,181,181,181,180,180,182,172,157,175,174,174,173,170,169,169,168,165,164,182,182,183,184,184,184,185,185,185,184,184,185,184,185,175,173,181,114,171,185,176,176,173,172,171,170,168,166,186,187,187,187,188,188,188,189,188,188,187,188,187,193,179,125,179,111,121,150,181,178,177,175,175,174,171,169,190,190,191,191,192,192,191,191,191,191,192,191,189,200,170,119,179,100,84,104,164,186,180,177,177,176,174,171,192,193,193,193,195,195,194,194,194,195,195,197,196,203,148,123,176,85,115,120,142,193,181,181,180,179,176,174,196,196,197,197,196,197,197,197,196,196,199,177,180,206,129,137,181,91,137,124,128,196,183,184,183,181,179,177,200,200,201,201,201,201,201,201,199,198,202,166,132,207,128,156,170,88,145,127,127,199,187,188,185,183,182,179,203,203,203,204,204,203,204,203,204,202,205,153,129,195,117,171,145,89,165,137,128,202,190,191,188,186,184,182,205,206,205,206,205,204,205,204,204,204,207,129,145,172,116,183,142,115,187,128,127,204,192,192,190,188,187,185,208,208,208,208,208,208,207,207,207,208,206,122,152,175,126,188,147,121,187,119,130,207,194,194,193,190,189,188,209,209,210,210,210,211,210,209,209,211,197,109,157,184,117,185,143,106,183,133,142,209,195,196,195,193,191,189,212,211,211,212,212,212,211,212,210,215,188,101,167,170,95,172,117,105,192,129,144,211,198,198,198,196,194,191,213,214,214,213,214,215,214,214,213,216,193,105,160,156,105,177,114,120,187,121,142,213,200,202,200,199,196,193,215,216,216,216,216,216,216,215,214,218,175,110,168,160,161,180,155,123,146,123,146,214,203,204,202,199,197,196,216,217,216,216,216,216,216,216,217,212,175,172,159,137,150,153,158,142,125,116,119,211,204,204,203,201,199,198,217,218,218,218,217,218,218,218,217,212,193,162,130,122,134,154,159,136,125,131,100,191,212,205,205,203,201,199,218,219,219,219,219,219,220,220,220,214,178,133,119,121,137,171,162,147,178,169,106,162,220,207,207,205,204,201,221,220,221,221,221,221,222,223,218,209,172,124,123,133,147,177,185,184,163,181,134,134,221,208,208,205,204,203,221,222,223,222,222,223,222,224,213,206,181,129,111,137,163,185,196,207,153,178,157,109,209,212,209,207,206,203,223,223,223,223,223,224,223,226,209,205,191,141,105,138,169,187,193,197,179,161,125,91,207,214,210,210,208,205,224,224,223,224,225,225,225,228,206,203,195,155,119,122,169,200,199,195,166,152,96,113,223,212,211,211,210,207,224,224,224,225,225,226,225,230,207,190,188,157,128,120,180,212,207,194,156,127,83,172,225,213,213,211,211,209,223,224,224,225,226,226,225,229,215,184,178,159,135,130,189,205,189,172,139,104,95,218,217,215,215,212,211,210,223,224,224,224,225,225,226,228,222,190,181,165,145,140,189,196,179,152,124,80,142,230,215,216,215,212,211,210,223,225,225,225,225,226,226,227,228,194,180,176,154,139,178,180,164,133,99,77,203,221,216,216,213,211,209,208,224,225,225,225,226,227,226,227,230,202,184,175,154,139,159,152,129,103,61,152,229,216,218,216,214,210,207,207,224,224,225,226,227,227,227,228,225,201,189,175,156,142,144,134,103,67,144,230,219,219,218,217,215,214,217,207,224,224,225,226,226,227,227,231,211,194,197,180,173,155,133,119,74,104,234,222,222,221,219,217,216,202,170,118
4,193,193,193,194,194,194,193,193,193,194,193,194,194,194,195,195,195,194,194,193,194,194,193,193,193,192,190,189,195,194,195,194,194,194,195,196,194,195,194,194,193,196,195,196,197,196,196,195,194,194,192,194,193,192,191,192,196,195,196,195,196,195,196,196,197,196,195,197,194,195,197,196,197,196,199,198,196,195,195,195,195,193,192,193,196,197,197,196,198,197,197,197,198,198,196,206,195,169,172,194,182,162,177,199,197,195,195,195,195,195,194,194,196,196,198,199,200,199,198,197,200,195,188,198,222,189,146,186,195,157,115,179,173,183,196,196,196,196,196,195,199,199,199,199,201,200,200,198,211,216,200,156,192,206,148,178,207,168,115,178,153,117,173,201,198,198,198,196,200,200,200,200,200,201,201,202,209,212,202,159,162,202,140,161,215,168,132,200,167,116,110,199,200,199,198,199,200,201,201,202,202,202,200,211,204,190,205,150,141,194,148,132,196,142,128,202,178,122,102,199,200,201,199,200,200,201,202,203,202,201,202,216,184,150,193,158,124,189,180,157,170,160,180,212,190,135,124,204,201,201,200,201,200,201,202,204,203,202,210,210,180,143,169,152,105,149,172,175,177,190,199,200,176,148,119,200,203,202,201,201,201,202,202,204,203,205,215,202,186,156,132,110,94,121,117,155,162,171,179,178,158,166,109,170,205,203,203,203,202,202,202,204,205,210,211,186,161,145,124,100,96,124,96,116,132,136,151,146,162,173,127,130,207,203,203,204,202,202,203,204,206,213,212,180,144,121,114,104,107,129,113,143,145,129,111,146,199,187,149,104,193,205,205,206,202,202,203,205,205,219,224,193,155,119,99,96,114,120,136,172,175,147,142,168,207,200,173,115,149,208,206,208,202,201,202,205,204,223,226,203,163,117,100,97,121,129,170,175,181,175,197,202,193,206,175,122,113,208,207,207,201,201,202,203,203,225,227,211,167,117,110,102,113,138,170,177,195,204,202,202,190,181,156,122,100,200,206,207,202,201,203,204,204,228,224,216,171,125,127,121,117,149,171,195,205,204,199,192,178,151,130,116,107,197,206,206,201,201,203,205,207,225,222,208,171,151,144,128,157,187,202,213,208,200,189,176,159,134,108,98,163,205,206,206,202,202,203,205,207,226,222,211,188,169,151,132,177,209,212,217,208,193,178,162,144,118,96,137,202,208,208,207,202,202,204,204,201,225,221,218,202,176,164,148,172,210,213,212,199,176,164,150,130,105,110,196,209,210,208,207,202,203,204,206,198,217,220,222,208,187,171,161,170,210,210,201,186,164,151,134,114,97,170,208,210,210,208,207,201,201,202,203,198,206,219,213,197,186,173,164,172,200,198,186,171,152,139,120,98,129,207,211,211,211,210,209,141,144,146,150,149,189,224,208,191,185,179,167,174,187,185,170,153,137,129,109,95,180,205,207,207,207,207,207,99,100,101,103,96,171,219,206,197,195,184,170,174,185,180,165,139,124,117,98,101,128,131,133,136,141,158,189,103,104,103,104,99,170,220,208,201,198,186,171,174,187,184,162,123,111,102,93,99,99,100,111,153,175,188,199,104,104,104,105,99,169,224,210,203,201,197,175,167,183,177,143,109,102,94,104,111,124,176,198,194,212,206,183,105,106,105,106,101,167,225,210,203,208,208,177,155,177,163,124,102,92,97,140,183,201,213,203,170,172,199,199,103,104,104,105,101,169,219,203,199,207,208,175,152,171,155,115,95,88,159,213,219,206,192,178,161,143,163,190
4,94,102,112,119,121,124,127,130,133,134,137,139,140,143,144,146,147,149,151,153,154,156,157,158,158,159,161,161,96,103,113,119,121,125,129,132,134,135,139,141,140,141,142,146,151,150,152,154,155,157,157,158,158,159,160,161,97,105,113,119,122,127,130,133,136,135,134,137,145,154,136,130,135,154,151,156,157,157,158,159,159,159,159,161,99,106,116,120,124,129,131,134,135,147,150,131,128,159,170,142,104,111,137,117,142,160,157,160,160,161,161,161,100,108,118,122,125,129,132,133,133,169,180,163,130,102,165,141,104,74,134,95,96,165,157,161,161,162,163,163,101,109,118,123,127,130,131,151,154,141,119,165,136,87,126,132,93,70,118,101,90,163,159,162,161,163,163,164,103,111,119,123,128,127,146,189,169,134,88,137,131,83,98,147,106,70,131,119,84,157,161,163,163,163,164,164,102,113,121,124,128,125,160,167,168,131,88,111,149,90,71,152,121,58,145,127,73,155,164,163,164,165,164,165,103,115,121,124,129,125,165,165,145,152,120,82,155,115,38,116,153,91,107,112,124,114,148,166,163,165,166,166,105,114,120,125,131,126,166,165,126,139,123,56,99,106,54,98,159,127,104,111,126,104,118,170,164,167,167,168,107,116,123,126,132,126,166,172,152,127,100,81,71,97,91,107,131,132,128,116,108,129,107,159,168,167,167,168,109,118,124,127,133,130,181,172,143,126,111,89,92,116,100,119,134,130,119,115,135,149,108,136,174,168,169,169,110,119,125,128,132,135,189,170,135,116,101,86,97,113,116,128,145,123,91,134,166,152,127,115,174,170,170,170,111,120,125,129,131,141,192,165,137,118,103,94,103,111,132,135,147,160,160,140,142,155,134,102,162,174,169,170,112,120,125,130,130,149,199,168,140,118,110,97,106,119,140,146,157,172,170,160,152,133,122,87,141,178,171,172,114,121,126,131,130,147,203,171,145,127,108,98,106,122,146,157,169,175,170,161,151,129,106,79,135,181,172,175,116,122,126,132,131,146,205,177,155,135,108,104,108,123,153,168,175,177,169,160,143,126,104,77,154,178,173,175,118,123,125,131,132,148,208,178,160,141,121,116,115,127,162,179,181,175,162,152,139,120,93,93,178,173,174,175,117,123,126,131,133,146,201,179,166,149,137,119,123,141,168,188,184,174,161,146,130,111,77,127,183,172,175,175,118,123,127,133,135,139,189,185,174,158,149,133,127,157,163,184,181,171,161,140,122,95,78,165,178,175,176,176,118,123,127,133,136,135,177,188,178,166,155,146,132,150,160,177,176,167,155,137,119,84,109,184,173,175,176,176,119,123,127,133,137,136,164,197,181,172,159,147,136,145,156,175,172,158,152,136,117,83,152,180,175,176,177,177,120,123,127,133,137,138,155,206,184,171,157,142,139,144,158,169,161,148,138,133,106,106,181,176,176,176,177,177,120,123,127,133,138,139,153,211,178,164,156,147,146,148,156,158,145,137,125,115,98,162,178,176,177,177,177,177,119,123,127,133,139,139,154,204,168,165,162,160,154,149,151,154,141,130,119,88,144,179,175,177,177,177,177,177,121,125,128,134,138,137,158,198,170,171,168,164,164,153,147,147,137,124,98,100,180,172,176,176,178,178,178,178,120,124,128,134,139,138,159,200,186,173,163,167,171,154,139,136,130,116,79,132,181,172,175,176,178,178,178,178,119,124,130,135,139,139,160,197,191,172,166,174,172,148,136,130,129,106,76,158,179,174,177,178,178,178,179,179
8,60,69,77,83,88,92,96,98,100,103,107,109,111,114,117,118,121,123,124,124,125,125,128,131,130,131,131,131,62,71,77,83,89,94,98,99,101,110,94,98,114,115,117,120,123,123,125,126,126,128,131,132,131,132,131,131,64,73,79,85,91,96,101,99,110,140,72,56,122,115,117,121,124,125,127,127,131,133,130,131,132,133,132,133,65,74,82,89,91,97,102,95,125,128,49,51,124,117,119,123,125,125,126,130,133,131,135,134,133,133,134,134,67,73,83,91,93,98,102,97,144,102,29,74,126,118,120,123,127,129,129,132,133,134,110,129,136,134,136,136,71,75,84,91,94,100,100,108,149,79,26,94,125,121,124,125,127,130,134,130,145,134,37,94,146,134,137,138,73,77,85,90,93,102,99,124,147,80,33,113,123,122,125,128,135,132,134,131,159,123,18,88,150,138,140,140,72,79,86,92,98,104,97,136,139,73,39,120,117,125,128,117,106,129,135,116,157,126,42,80,152,139,141,140,73,81,88,94,99,105,96,149,130,57,54,121,83,94,136,112,69,70,128,95,153,134,89,51,136,145,143,144,75,83,93,94,97,105,100,162,135,75,131,128,88,72,133,115,63,57,118,84,120,151,102,41,83,154,141,146,76,84,91,94,101,106,107,171,131,108,178,133,81,76,129,99,43,60,107,57,125,162,105,43,60,159,143,148,76,85,91,98,102,103,118,162,116,85,173,148,67,84,128,80,26,58,92,49,157,156,107,38,77,160,145,149,79,86,92,95,101,102,121,154,133,99,150,139,45,101,122,64,28,32,80,49,158,142,95,28,84,161,147,151,78,88,95,97,106,101,131,158,148,139,149,134,72,97,136,85,23,34,77,88,150,115,77,23,98,162,149,152,79,86,95,97,103,103,157,148,140,120,136,149,99,113,158,99,22,60,106,134,141,100,62,23,116,160,150,153,78,87,95,101,101,114,157,110,106,94,106,120,71,111,107,58,94,138,138,110,115,98,61,19,121,161,150,153,80,87,95,101,99,137,155,113,97,83,61,59,52,56,97,140,159,138,130,95,79,81,58,15,127,161,151,155,81,90,95,101,97,167,154,126,106,76,61,56,62,125,185,185,148,130,113,78,56,57,40,26,155,157,155,157,81,91,97,100,113,182,153,131,104,79,63,40,105,187,184,175,148,115,93,63,44,48,17,74,167,153,156,157,83,92,99,95,138,188,148,130,107,92,72,80,169,179,177,162,131,100,77,52,34,39,13,133,163,156,158,159,83,92,103,90,156,190,147,128,117,107,97,144,173,171,163,147,115,86,66,41,31,27,20,150,164,156,159,162,84,92,103,92,173,186,150,139,132,122,144,168,178,157,138,128,100,74,56,34,31,19,44,164,159,159,160,161,86,93,102,93,182,188,153,140,126,130,165,177,172,139,123,112,87,65,44,31,29,9,105,167,158,163,162,161,87,95,104,95,172,192,162,144,128,131,161,169,146,125,110,99,75,52,36,29,12,63,162,158,160,161,162,163,85,93,103,95,163,192,165,151,131,127,147,150,138,124,100,92,68,44,33,18,46,154,160,160,160,162,162,163,85,95,103,98,148,179,145,140,126,127,135,145,142,126,103,90,66,40,18,20,137,164,158,161,161,163,163,164,86,95,104,99,137,158,145,137,139,140,123,131,134,115,94,80,55,24,1,104,163,156,159,161,162,162,164,165,87,96,104,101,132,165,158,149,153,143,120,121,129,111,84,69,45,2,48,158,156,160,161,162,164,164,164,164
21,71,78,86,101,116,124,131,135,139,142,143,147,150,153,157,158,160,162,164,165,166,166,166,167,168,167,167,167,72,80,89,104,117,127,132,136,140,144,145,149,152,154,152,161,162,165,165,166,168,169,169,169,169,169,169,169,75,82,89,107,120,128,134,138,142,145,148,149,162,166,96,153,168,166,168,168,170,171,171,170,172,172,171,171,76,84,92,109,121,128,135,140,143,146,150,149,172,168,89,146,173,167,168,171,173,173,171,171,173,173,173,173,76,84,94,111,123,130,136,140,146,149,153,151,173,166,96,142,173,170,171,171,175,176,175,178,177,175,174,174,78,86,96,112,123,133,137,141,147,150,153,152,176,174,102,141,176,170,173,172,177,178,172,162,177,177,177,177,79,88,98,115,124,134,139,144,148,150,154,153,177,175,107,133,180,172,176,176,177,178,147,97,161,183,179,180,81,89,100,118,126,135,140,145,149,150,155,154,177,172,109,121,181,173,177,176,181,167,121,102,179,181,180,180,83,89,101,118,127,134,141,147,150,151,156,155,184,175,109,118,182,173,178,182,180,147,97,156,190,181,181,181,84,91,104,121,129,136,142,148,151,152,156,157,193,180,118,124,182,174,179,178,159,117,123,190,183,184,183,182,84,92,107,121,130,138,144,148,150,153,168,144,175,162,113,120,183,175,182,174,137,97,174,188,184,185,185,184,85,93,108,122,131,138,144,150,151,161,165,118,120,119,98,121,184,177,181,166,105,135,193,183,186,186,185,186,87,94,110,123,130,140,145,148,162,181,130,116,87,84,86,124,165,166,167,125,100,184,186,187,188,187,186,186,87,94,111,124,132,139,146,149,187,194,166,141,93,67,84,113,143,143,129,85,154,193,185,187,187,187,187,186,88,95,113,125,132,140,145,159,192,202,206,139,95,69,78,100,118,124,91,111,192,186,188,188,189,188,189,189,88,96,114,124,133,141,144,166,175,165,174,124,91,78,76,92,103,104,84,174,191,188,188,189,189,189,190,189,89,98,115,125,133,142,144,186,173,112,134,142,102,82,77,81,91,75,118,197,186,189,190,190,190,190,190,189,90,99,117,126,135,141,151,187,138,106,117,155,114,88,79,75,83,71,146,196,188,190,190,190,190,191,192,190,90,100,119,125,135,137,165,186,147,142,136,175,131,111,88,75,78,72,153,197,190,192,191,191,190,191,192,190,90,102,117,125,137,137,176,189,169,134,176,204,136,126,94,74,77,76,168,194,190,192,193,194,193,193,192,191,91,103,120,126,138,138,185,202,161,143,213,179,132,122,94,74,74,81,183,193,191,192,193,193,193,194,193,192,92,104,119,127,137,138,193,191,149,161,199,160,128,111,101,80,68,103,196,190,192,192,193,193,194,194,193,193,91,104,119,127,139,140,186,172,161,160,196,156,146,109,89,81,66,138,198,190,192,192,193,194,195,195,193,194,90,105,120,130,140,142,169,178,181,159,199,148,140,112,82,79,68,163,196,190,193,193,194,195,195,195,194,194,91,107,121,130,139,144,161,200,170,154,186,133,117,93,78,74,79,179,194,191,193,194,195,196,196,196,195,195,89,107,121,129,137,144,157,190,165,145,162,125,102,89,79,65,95,191,190,193,195,196,196,197,197,196,195,196,88,105,117,127,136,145,152,170,154,148,151,133,117,98,82,60,107,194,187,190,193,193,194,194,195,195,195,195,88,105,116,127,136,146,150,163,159,155,151,146,132,99,79,55,115,194,185,189,192,193,193,194,194,195,195,194
0,155,157,159,161,163,165,166,167,168,168,169,168,168,169,169,169,169,168,168,168,168,167,167,167,167,167,164,163,156,157,160,162,164,166,168,169,169,170,171,171,171,170,170,170,170,170,170,169,169,168,168,167,168,167,166,165,157,159,161,163,165,167,169,169,170,171,171,173,173,172,172,173,173,171,171,171,169,169,169,169,167,167,167,166,159,160,163,165,167,169,170,171,171,172,174,174,174,177,173,173,174,175,172,170,170,171,170,169,170,169,167,167,160,162,164,165,168,170,172,172,174,176,176,171,169,158,172,175,148,147,175,175,172,170,173,171,171,170,168,168,161,164,165,167,170,171,172,173,176,165,166,196,167,120,117,181,146,90,144,169,165,156,139,176,171,171,169,169,163,165,165,168,171,172,173,174,184,154,119,181,185,145,103,179,156,114,75,95,135,171,105,167,176,172,172,171,163,165,167,169,171,173,171,180,198,182,137,123,192,148,104,177,159,117,70,118,133,174,126,118,179,172,174,172,163,166,168,170,172,174,173,192,191,190,163,96,162,155,97,174,166,107,90,143,106,167,156,108,131,177,173,173,164,167,169,171,172,173,178,192,151,183,154,79,127,159,99,171,157,90,91,139,77,140,169,142,95,134,183,172,166,169,170,171,173,170,189,195,145,174,129,73,127,140,89,147,133,81,85,129,84,166,190,153,91,110,184,172,168,169,171,173,175,173,196,189,157,168,115,72,123,116,79,116,115,78,82,117,100,188,183,146,79,146,181,174,168,169,171,174,174,179,204,177,136,141,130,78,106,109,74,107,108,59,123,134,147,182,164,114,85,179,176,176,169,170,173,176,175,180,210,191,157,114,99,61,116,131,75,124,117,104,160,152,154,166,132,81,124,189,176,177,169,171,174,176,175,184,209,188,169,140,97,76,105,112,72,106,164,181,164,153,128,128,109,68,161,185,179,177,170,172,175,177,175,191,210,185,171,156,129,94,95,118,129,171,192,180,157,144,118,95,88,75,179,182,181,180,172,173,175,179,176,194,210,188,171,158,142,100,97,132,176,200,193,174,147,134,106,85,63,115,191,180,182,181,172,174,176,179,176,190,209,192,173,162,154,117,106,128,186,198,191,165,138,120,94,71,71,178,185,182,183,182,173,175,176,179,176,186,207,195,177,163,157,131,108,137,195,199,179,152,125,104,83,57,141,191,181,183,183,182,173,176,177,181,179,183,206,197,182,163,152,133,108,147,192,189,162,143,116,92,62,104,193,184,185,183,183,184,173,175,178,181,180,183,206,193,180,165,146,128,113,161,177,162,153,134,106,75,65,174,188,186,186,185,184,184,174,176,178,181,179,183,208,192,183,166,141,125,131,163,147,144,138,116,93,55,139,195,186,187,187,187,185,184,174,176,176,181,174,195,211,196,193,168,144,133,144,156,131,135,119,101,63,105,194,188,190,188,188,187,186,184,174,177,179,178,179,212,205,197,191,163,143,138,147,138,127,124,110,78,84,186,193,189,189,188,188,187,186,185,173,176,180,174,195,206,187,189,185,152,135,142,135,125,119,109,84,76,171,194,191,189,189,189,188,188,186,186,173,175,177,169,203,194,168,161,162,141,131,138,125,116,109,91,71,149,192,188,190,189,189,189,188,187,187,186,172,178,171,174,208,184,159,140,136,121,134,139,107,105,103,65,118,193,190,190,190,190,190,189,188,188,187,186,174,178,165,195,205,174,143,137,125,107,138,128,92,105,81,75,174,191,189,190,191,191,190,189,188,188,188,188
0,193,195,197,198,199,201,200,199,199,199,199,198,199,197,197,197,195,195,195,195,193,192,192,189,190,188,187,186,195,196,198,200,201,203,203,202,201,201,201,200,201,199,199,198,196,195,195,196,195,193,193,191,191,189,188,188,196,197,198,201,202,203,203,203,203,202,202,202,203,201,199,197,196,199,198,196,195,194,194,191,191,191,189,190,198,198,201,202,203,205,205,205,204,203,203,202,200,203,200,216,197,171,194,200,197,198,195,194,192,192,190,190,198,200,201,203,203,205,205,206,207,207,204,202,213,198,200,244,205,163,136,182,168,179,200,191,194,192,192,190,200,202,203,204,204,205,206,208,207,205,202,218,238,208,204,247,209,165,131,194,166,126,160,135,172,199,193,193,201,204,205,205,207,207,208,206,209,220,187,229,238,212,202,252,221,152,183,221,161,101,126,109,168,201,194,194,202,205,208,207,209,210,212,203,230,255,206,225,248,210,184,246,227,153,153,197,145,97,133,113,184,199,194,194,205,206,208,210,209,210,211,207,239,255,236,198,255,217,160,210,205,148,114,169,124,122,164,111,179,200,194,196,206,208,208,209,210,212,208,219,228,255,251,178,229,203,137,166,187,144,110,166,118,165,186,114,163,205,195,197,208,210,210,211,210,213,209,228,219,220,217,158,194,184,122,116,191,137,105,177,127,200,194,119,167,206,197,198,208,210,211,212,212,214,207,238,237,207,200,139,167,186,118,94,198,149,108,116,177,222,179,112,179,206,198,198,208,211,211,211,213,213,216,247,206,169,194,157,135,203,129,102,182,204,204,140,190,213,157,111,194,203,201,199,210,212,212,213,213,212,226,255,220,174,156,165,134,187,141,159,220,229,211,186,155,176,145,122,205,202,202,199,210,213,214,215,216,214,228,255,225,192,165,157,195,201,217,232,228,214,189,172,157,135,131,126,207,202,202,200,212,214,218,217,219,213,240,255,232,212,197,180,203,235,243,244,229,208,184,164,148,125,110,133,210,202,203,202,212,216,217,218,219,214,248,255,238,225,208,191,217,247,254,255,231,203,184,159,137,118,105,179,211,205,205,203,214,217,217,218,221,216,250,255,239,220,203,195,222,249,255,255,232,202,175,149,128,107,133,213,207,205,204,204,213,215,217,218,221,215,247,255,241,221,201,191,218,243,247,238,224,196,164,136,118,106,186,212,206,205,205,203,212,214,218,218,220,215,232,255,237,220,208,196,220,234,227,213,193,173,153,129,110,172,214,208,207,207,205,203,212,215,218,218,221,217,229,245,223,225,217,198,217,227,213,188,166,158,138,119,177,216,209,209,209,207,206,203,217,217,220,220,222,219,230,245,226,227,213,198,211,224,203,168,148,141,118,177,218,211,212,210,208,207,206,204,216,217,219,220,222,219,236,255,244,220,203,201,199,211,182,145,137,116,168,220,213,212,213,212,210,209,207,204,216,218,219,217,230,213,210,255,252,219,204,205,187,196,162,133,116,148,220,214,215,213,212,211,211,210,211,205,214,217,220,215,239,255,194,220,242,212,206,196,181,185,142,115,104,196,219,212,213,213,210,211,210,206,192,181,219,220,224,218,245,255,255,155,255,240,226,213,191,180,145,115,109,207,220,221,217,208,214,217,196,172,178,171,166,168,166,158,255,255,255,162,166,255,237,221,195,175,155,142,128,143,155,147,151,200,222,209,188,132,200,184,116,117,103,148,255,255,255,185,114,249,226,207,184,166,148,135,131,122,101,120,200,232,210,185,198,121,170,201
0,191,192,193,193,193,195,196,196,196,197,195,196,196,196,196,195,195,196,196,197,196,197,196,196,195,195,195,195,193,193,194,194,194,195,196,196,197,198,197,196,196,195,197,202,183,169,188,196,193,197,198,197,196,196,197,197,194,195,195,196,196,196,196,197,198,199,199,200,191,173,184,210,172,144,138,156,155,165,192,181,171,198,198,200,194,196,196,197,198,198,197,197,198,198,203,218,192,161,145,195,177,160,121,104,138,133,147,165,130,198,199,200,196,196,197,198,199,199,199,200,200,182,198,225,193,171,144,196,189,169,130,110,152,138,118,156,123,194,202,201,196,197,198,199,200,200,198,209,214,166,154,213,202,180,145,193,206,177,136,122,166,138,103,141,116,181,204,202,197,197,199,200,201,201,201,221,216,177,154,191,216,183,143,182,214,180,133,124,169,132,90,129,115,140,205,201,198,198,200,201,202,201,213,209,212,190,164,161,220,181,139,164,216,175,124,104,150,122,81,122,125,98,188,205,198,199,200,202,201,207,213,188,214,200,166,138,210,180,136,133,202,162,112,83,125,109,76,125,133,90,167,207,200,201,202,202,201,213,198,167,201,200,164,125,189,175,129,105,172,148,109,78,108,97,77,140,143,98,165,208,200,201,202,202,204,215,198,172,183,186,152,110,157,162,122,85,146,141,108,76,109,96,100,166,157,105,168,209,198,199,201,200,209,207,186,156,151,172,141,101,133,155,116,69,126,140,101,81,125,102,136,182,160,106,172,210,198,199,200,199,211,220,195,159,126,158,136,94,122,154,116,65,123,149,111,141,163,129,142,181,160,108,182,209,197,200,201,200,210,223,201,166,122,121,135,103,116,162,127,77,123,161,162,181,174,150,127,154,153,107,186,208,199,201,202,201,213,226,208,179,145,111,124,121,117,169,150,140,175,187,184,176,162,142,126,114,119,96,185,209,201,201,202,201,213,227,214,189,163,145,137,141,157,174,186,200,203,197,184,171,152,130,119,103,93,89,183,210,200,202,203,201,213,225,218,198,180,168,157,150,162,183,196,204,205,201,184,167,148,124,109,98,88,96,194,210,199,202,203,202,210,221,220,207,194,182,167,159,160,179,194,201,199,194,180,161,145,122,104,93,90,149,209,210,199,201,203,201,202,219,220,218,205,189,171,162,162,178,196,203,196,187,175,158,139,117,98,88,138,203,210,210,185,187,191,192,187,213,221,223,206,190,174,163,163,180,199,200,191,181,171,153,132,110,90,113,198,211,211,211,118,119,122,126,124,192,218,217,203,192,178,164,160,180,195,189,176,166,156,141,121,103,89,150,192,193,196,196,99,101,101,101,93,163,213,203,197,194,183,168,158,177,190,179,162,145,133,122,109,97,96,110,117,119,121,132,103,104,104,104,97,149,208,192,195,196,184,169,157,172,186,172,148,123,110,103,96,98,102,100,101,119,157,190,103,102,102,103,99,141,207,188,195,195,182,170,159,167,179,164,131,103,95,91,101,105,111,127,166,206,217,209,103,102,102,104,101,137,215,198,197,191,177,168,159,157,164,153,115,93,88,94,106,127,180,214,228,222,214,203,101,101,102,103,100,132,218,208,202,189,175,169,164,149,155,145,106,89,86,102,146,208,233,234,230,223,225,219,104,102,103,103,100,129,210,211,206,188,175,171,164,143,149,140,101,82,89,159,214,228,233,230,218,217,226,230,104,102,103,104,99,129,202,209,203,183,172,170,166,140,143,135,98,75,132,215,216,228,225,218,213,217,224,229
21,165,167,169,170,170,170,170,172,172,172,172,176,174,174,174,173,173,172,172,174,173,172,171,171,169,168,168,167,168,170,173,173,174,173,174,175,175,177,173,155,176,176,176,176,176,176,176,176,176,175,174,173,172,171,170,170,172,173,175,176,177,178,177,177,178,179,186,124,157,186,178,180,179,178,178,178,177,177,176,175,175,175,174,173,175,176,177,178,179,180,180,181,181,182,190,128,140,191,181,183,184,184,181,181,180,179,179,177,177,178,176,175,177,179,181,181,182,182,183,184,184,185,192,129,125,192,185,176,149,175,187,184,184,182,182,181,180,180,179,177,181,181,184,184,186,187,187,187,187,186,197,146,120,190,188,175,129,136,196,185,186,185,184,183,184,183,181,180,183,185,187,188,189,189,189,189,191,187,204,178,121,180,195,173,134,122,194,190,189,188,187,186,185,184,183,181,185,187,189,189,190,190,191,192,193,189,206,184,120,166,200,172,136,119,187,195,191,190,189,189,187,187,186,185,188,189,191,192,192,193,194,194,194,190,209,196,134,154,204,180,157,125,183,197,193,193,193,192,190,190,189,187,190,192,192,194,194,195,196,195,195,195,187,182,160,143,205,177,156,125,180,200,195,195,194,193,193,192,190,189,192,195,194,194,196,196,197,197,197,202,183,145,142,137,202,174,166,124,179,204,197,196,195,194,194,194,193,191,193,194,195,197,197,198,198,200,197,213,204,163,107,116,202,181,181,137,181,206,199,198,198,197,196,195,195,194,194,196,198,199,200,200,200,201,201,213,212,165,132,161,162,152,163,144,149,208,200,201,200,199,198,198,197,195,197,198,200,200,200,202,203,201,197,184,198,169,124,147,137,150,143,146,130,186,207,202,202,200,200,199,198,197,198,200,202,203,203,204,204,205,190,135,158,186,112,80,123,138,114,177,148,152,212,202,204,203,202,200,200,199,200,202,203,205,205,206,204,208,200,156,118,189,143,91,103,92,150,206,177,134,196,207,204,204,204,202,202,200,200,203,203,204,205,205,209,199,195,184,117,175,167,93,112,165,152,193,187,133,151,216,203,205,204,203,203,202,202,204,204,205,206,207,209,214,184,178,127,108,116,82,111,194,187,176,155,124,117,205,208,205,204,203,204,203,203,204,205,206,208,208,207,203,168,166,128,98,88,99,149,197,200,174,132,114,117,203,209,207,206,204,204,204,204,206,206,209,210,210,207,202,197,154,148,130,103,139,194,206,192,169,134,107,136,217,208,209,207,206,205,205,205,206,207,209,210,212,207,212,187,170,158,146,113,168,212,203,194,166,131,98,172,220,209,210,208,208,207,206,206,207,209,210,210,212,210,212,199,181,148,186,173,207,216,209,194,151,120,103,201,215,211,210,209,209,208,206,207,208,209,210,211,212,212,209,208,171,169,185,195,220,225,217,180,138,105,126,219,211,212,212,211,210,209,208,207,209,209,210,212,212,213,199,201,185,182,169,189,211,219,204,161,131,99,160,225,213,213,212,212,211,210,208,207,208,209,211,212,211,214,196,195,191,184,170,183,199,197,176,139,117,103,200,220,215,215,213,212,211,212,213,205,208,209,210,210,211,215,206,187,185,180,179,169,174,178,151,120,98,151,224,215,215,214,214,213,211,210,201,206,208,210,210,211,211,213,216,188,184,179,183,163,162,168,138,108,105,206,217,216,215,215,214,213,213,210,146,208,209,210,211,212,213,213,217,194,178,168,169,156,153,157,133,95,131,222,215,217,216,216,213,217,187,157,124
17,137,137,139,140,142,144,145,145,146,147,148,150,150,150,151,152,153,154,155,154,154,155,156,155,156,156,156,156,136,137,139,140,141,145,146,146,147,148,149,150,150,150,152,153,154,155,156,158,156,159,157,156,157,156,157,157,136,138,140,142,144,145,146,146,147,149,149,151,152,152,152,154,155,156,150,145,154,135,153,158,158,157,158,158,138,139,140,143,145,146,147,148,148,150,150,151,151,153,153,156,155,158,153,118,114,102,127,164,158,158,158,158,138,140,142,143,145,147,148,149,150,151,153,154,154,154,156,157,155,159,169,135,94,85,130,165,158,159,159,158,139,140,142,145,146,147,150,149,150,152,152,153,154,155,156,157,157,157,172,144,106,75,141,165,158,160,160,159,139,141,143,144,146,148,149,150,151,152,152,155,155,157,158,157,159,157,173,155,120,83,154,162,160,160,160,159,139,142,144,145,146,148,150,151,152,153,153,154,157,143,146,163,158,158,176,156,123,104,164,161,162,161,161,160,140,144,144,145,147,149,150,151,153,154,154,153,158,146,113,138,165,163,176,152,122,111,166,162,162,162,162,161,140,143,145,146,147,149,150,152,152,152,151,154,164,151,133,117,140,159,174,152,120,108,165,162,163,162,162,162,141,144,146,146,148,150,152,150,157,159,135,120,154,165,162,159,125,100,144,149,125,109,164,163,164,164,163,162,142,144,145,147,150,151,152,151,167,168,133,110,146,152,172,167,148,102,101,131,119,107,163,163,163,163,163,163,141,144,146,148,150,151,151,157,159,146,156,130,135,116,134,178,163,125,89,109,108,102,163,164,164,164,163,163,143,145,146,148,149,151,151,160,168,129,127,119,93,82,87,181,174,143,95,92,96,96,162,165,165,164,164,164,143,145,147,149,150,152,151,165,156,124,111,121,98,97,95,168,183,154,110,88,95,91,159,167,164,165,165,165,143,145,147,150,151,153,150,167,162,147,134,127,110,125,115,153,190,155,123,90,94,91,153,168,164,166,165,165,144,146,149,150,151,152,153,174,155,135,130,123,119,137,139,169,174,157,132,95,88,89,154,168,165,166,166,166,144,146,148,150,152,152,159,171,142,129,125,124,132,135,179,186,156,148,132,94,83,84,156,169,166,166,166,166,144,146,148,150,154,151,165,173,146,135,125,127,132,159,192,180,157,140,125,94,80,85,160,168,168,166,166,166,144,146,148,151,154,151,169,176,150,140,125,129,138,183,181,173,155,135,119,92,80,95,170,166,167,167,166,166,144,146,150,151,154,150,174,174,154,147,130,131,157,192,177,170,148,125,115,91,77,119,174,165,166,167,167,167,145,147,150,153,154,149,180,174,157,153,142,132,167,188,170,168,150,119,108,89,80,152,170,166,168,167,166,166,145,147,150,152,156,151,182,178,161,161,152,137,167,181,165,161,149,118,102,82,100,172,166,167,167,167,167,167,145,148,151,152,154,151,177,183,164,165,155,146,155,177,162,161,142,116,98,78,136,173,166,167,167,167,167,167,145,148,151,153,155,151,169,186,168,160,152,153,151,168,157,164,146,111,95,81,154,172,167,168,168,167,167,167,146,149,151,152,155,154,164,184,165,158,148,151,154,160,152,165,148,112,93,88,165,169,168,169,169,168,168,168,146,149,150,152,155,153,166,180,163,157,148,148,153,159,150,164,140,111,90,111,174,167,168,169,169,168,168,168,145,148,150,152,156,153,169,181,171,159,151,153,157,158,146,160,129,105,87,143,174,167,169,169,169,168,168,168
21,133,137,139,142,145,148,150,153,157,158,158,157,155,163,160,160,162,161,159,159,160,159,162,161,157,157,156,153,135,139,142,145,148,150,154,156,158,160,157,168,180,136,161,165,165,164,163,162,162,162,163,163,161,159,159,158,137,141,145,148,151,154,157,158,159,164,159,185,220,125,126,173,166,167,167,166,167,167,165,164,166,165,162,159,140,143,147,150,154,156,159,161,163,167,168,164,221,169,91,165,172,168,170,168,168,169,167,171,158,151,166,162,140,146,149,152,155,158,162,164,167,168,171,164,196,208,129,136,177,170,172,171,172,172,168,198,142,94,172,165,142,148,152,155,157,159,164,167,169,169,170,169,176,230,181,115,168,177,174,175,175,171,178,210,125,100,176,165,145,150,154,156,159,163,166,170,171,171,172,175,170,224,204,118,141,182,175,175,176,169,198,201,104,131,178,167,148,151,156,158,162,166,167,169,171,174,174,177,169,208,220,139,119,183,177,177,177,179,217,181,100,160,178,173,150,153,157,160,165,168,169,172,174,175,177,178,173,194,215,168,106,178,181,181,176,195,206,148,97,179,175,174,151,156,160,163,167,169,172,174,176,178,180,176,192,231,203,176,85,126,191,177,183,214,193,106,125,188,175,176,153,158,161,166,168,171,174,175,176,179,178,186,199,226,208,172,121,82,166,187,197,216,179,92,170,185,179,177,156,159,162,167,171,174,176,176,178,181,184,236,193,182,232,195,184,167,117,155,186,193,132,109,193,181,182,179,157,161,165,168,173,175,176,178,182,181,197,212,212,188,166,176,221,198,113,78,136,139,85,150,193,183,184,182,158,163,166,169,174,176,177,180,184,179,201,201,164,117,52,65,185,198,133,72,89,94,81,184,187,185,186,184,159,164,166,171,176,177,180,184,186,181,207,194,114,113,90,63,117,222,169,95,63,65,98,196,187,187,185,185,160,165,168,173,175,178,182,185,187,183,212,206,185,155,102,104,97,213,202,120,63,47,123,202,189,190,188,188,162,166,171,175,177,181,183,186,189,184,228,230,172,132,106,130,125,214,226,153,84,42,130,204,189,192,192,191,165,169,173,176,179,182,183,186,190,188,232,206,144,126,133,153,167,238,224,171,109,50,122,206,189,192,191,191,164,168,172,176,180,184,186,188,190,191,230,213,172,162,161,164,204,244,214,168,115,52,122,207,190,193,192,191,162,166,172,176,180,183,184,186,190,186,232,228,187,167,174,185,223,244,211,158,124,56,119,208,191,193,192,192,165,170,173,177,181,184,185,188,192,186,227,238,203,169,182,198,237,242,218,161,123,61,124,209,193,194,194,193,167,172,176,179,182,184,186,190,194,188,222,243,207,184,182,213,244,229,208,156,118,58,131,210,195,196,196,194,168,173,176,179,182,185,188,191,196,193,215,244,213,209,196,217,244,226,198,158,110,55,124,214,197,199,198,198,169,173,176,182,184,187,192,194,197,197,205,241,225,223,215,210,236,209,186,155,101,51,119,216,198,201,199,199,171,174,178,182,184,189,194,195,198,198,196,227,234,228,218,202,215,188,168,149,94,46,127,216,200,200,205,202,163,169,174,178,184,189,192,194,198,201,197,217,240,227,202,177,190,177,155,155,88,35,165,223,209,214,187,112,96,98,102,107,110,111,116,118,118,118,121,147,238,215,178,144,157,178,152,149,74,35,143,157,155,161,85,51,62,63,64,63,61,64,68,67,62,69,50,32,213,191,152,132,149,180,137,136,55,15,39,60,70,72,43,45
16,93,95,99,103,113,123,129,136,141,144,145,147,151,156,160,164,166,167,169,171,173,174,176,178,178,178,181,182,93,95,100,105,114,124,132,137,142,144,145,148,153,158,159,162,166,169,171,172,174,175,177,178,180,179,180,182,94,96,101,105,115,125,132,138,143,144,146,150,154,158,160,164,166,169,171,173,174,176,178,180,180,181,182,183,94,98,101,105,117,126,133,138,143,146,148,152,155,158,162,165,167,170,171,173,175,178,179,180,180,182,182,183,94,98,100,106,118,129,135,141,145,147,150,152,158,163,164,168,173,172,172,175,178,179,181,181,182,183,183,183,95,98,101,108,120,130,138,141,144,148,149,148,149,144,133,126,137,174,175,175,180,181,182,182,184,185,185,185,97,99,103,110,122,130,134,142,152,147,134,121,111,99,91,94,87,107,172,182,180,182,184,185,186,186,187,188,97,100,102,112,120,129,147,163,156,132,104,100,98,88,80,89,99,78,96,176,185,182,187,189,189,188,189,189,97,101,105,108,121,155,170,144,118,98,81,93,94,84,79,89,93,84,84,99,188,184,188,189,189,190,191,190,99,102,94,127,158,150,114,101,95,83,80,96,94,81,84,92,90,83,102,70,130,198,186,190,190,191,192,192,97,96,137,170,131,101,83,87,86,70,90,103,92,83,92,93,83,92,99,86,75,182,190,189,193,195,195,195,92,177,190,127,95,83,73,73,100,129,98,83,61,85,100,89,65,97,97,86,66,121,204,191,195,195,195,196,119,214,146,111,85,69,90,128,195,194,113,61,64,66,92,74,56,107,94,81,78,63,156,202,193,195,196,197,102,162,121,91,89,141,205,200,206,182,132,78,71,66,57,37,67,115,90,93,93,85,79,166,202,195,197,199,97,105,108,98,186,207,204,192,205,175,134,94,77,69,28,13,75,113,88,101,104,104,88,93,200,199,199,199,101,102,104,127,210,186,204,198,201,161,120,96,91,81,73,22,58,105,88,99,109,97,88,66,164,208,199,200,101,106,99,147,219,188,211,200,183,135,92,96,100,92,86,63,37,86,96,139,125,89,77,60,121,214,199,202,102,105,97,176,221,185,210,196,161,113,100,106,108,104,88,77,41,53,146,179,175,155,120,57,122,215,200,203,103,106,98,185,220,181,185,175,116,88,92,113,108,94,89,80,71,56,170,196,197,197,193,145,154,210,202,205,102,105,100,159,226,180,128,118,81,78,87,92,89,81,76,74,90,71,164,204,199,202,205,192,140,162,211,204,102,103,107,129,192,127,93,85,85,95,100,90,73,70,75,68,74,61,133,215,193,199,199,175,131,109,210,205,102,103,111,121,144,101,83,101,95,82,75,71,63,60,63,60,74,93,99,166,186,186,184,159,107,138,214,206,104,105,111,124,135,135,90,88,71,90,94,101,94,72,60,82,93,101,91,75,100,150,162,140,154,206,210,208,104,104,112,125,141,130,78,79,68,75,149,118,91,82,67,55,54,45,43,43,17,102,213,202,214,212,209,210,102,104,112,125,140,109,80,74,78,61,40,64,42,29,20,16,16,18,17,21,6,74,223,208,209,209,210,211,102,105,112,128,130,92,79,72,67,80,33,8,33,29,22,15,15,16,17,18,7,161,219,206,210,210,212,213,102,104,112,129,113,83,76,69,66,69,63,5,22,32,22,16,15,15,17,10,37,207,208,209,212,213,213,214,101,105,113,126,92,78,74,67,63,66,72,13,9,26,21,17,15,14,19,0,91,227,206,210,213,214,214,214
2,209,210,211,212,212,212,212,212,212,211,210,210,210,209,209,208,207,206,206,206,206,206,203,204,191,110,103,113,210,212,212,213,213,213,213,213,212,213,212,212,212,210,210,209,209,208,207,206,206,205,203,208,177,101,107,120,212,212,213,215,214,213,214,215,214,214,214,214,211,210,211,209,203,208,209,210,207,206,206,208,190,120,113,118,213,214,215,214,216,215,215,215,215,215,214,212,213,216,216,191,142,158,186,156,207,210,207,205,209,141,116,119,213,215,217,217,217,217,217,216,216,215,217,224,220,205,173,146,121,114,139,114,172,213,207,206,212,153,107,107,214,215,218,218,218,218,218,219,216,222,230,229,185,140,125,117,109,111,116,117,108,181,215,206,213,180,102,89,215,217,218,219,219,219,219,220,217,227,228,194,143,103,107,110,100,103,108,112,99,175,218,209,209,211,115,75,217,218,219,219,220,220,221,220,222,243,195,132,117,102,98,105,108,104,113,127,166,212,211,211,209,213,160,125,218,219,220,219,221,222,222,217,231,239,169,116,113,113,106,109,103,160,204,212,219,213,213,212,210,213,178,166,219,219,220,221,222,224,223,218,244,224,160,121,112,115,106,119,177,219,219,215,213,214,215,214,210,219,139,165,219,220,221,223,224,224,221,227,244,201,143,107,106,107,105,161,232,216,218,216,215,216,215,214,212,217,148,191,221,220,222,224,224,224,221,239,238,191,149,120,118,107,103,169,228,218,219,218,217,216,214,214,214,215,187,174,222,224,224,225,226,225,226,250,231,183,144,127,123,120,103,193,226,219,220,219,217,217,216,215,215,214,213,185,224,225,226,226,226,224,237,253,216,170,136,123,121,121,122,213,225,220,221,219,218,218,218,217,216,215,213,204,224,225,226,227,226,223,249,247,204,161,128,120,119,120,123,216,225,222,221,220,219,219,218,217,216,215,215,207,225,225,226,228,226,226,255,241,198,156,128,121,123,123,129,221,224,222,222,221,220,219,219,218,218,217,214,212,225,226,227,229,223,240,255,228,189,150,126,122,124,117,129,230,223,223,224,223,220,220,222,222,220,219,219,215,225,227,229,228,225,255,250,215,180,143,122,120,116,116,107,182,234,222,223,224,225,221,207,195,184,176,182,213,227,229,229,224,233,255,240,204,168,138,123,114,112,116,119,119,224,233,228,221,199,181,181,178,175,165,126,173,229,230,231,222,246,254,228,193,162,137,121,106,110,115,122,110,155,206,196,178,177,180,187,176,153,153,154,192,228,231,226,228,255,247,222,186,155,134,116,102,116,122,123,127,118,133,161,181,193,184,157,133,164,211,220,219,228,229,219,248,255,242,213,183,151,128,110,107,128,133,141,140,140,146,167,182,167,142,123,175,226,220,217,217,229,219,237,255,250,235,208,177,145,128,109,116,136,141,149,147,146,150,155,142,140,171,204,225,219,218,218,216,220,229,255,248,240,227,203,170,139,127,112,127,140,144,148,146,139,127,126,168,213,228,225,221,219,219,217,217,223,246,248,244,235,219,194,158,135,127,118,138,146,147,141,133,116,132,196,230,228,223,223,224,221,219,218,217,243,240,239,234,219,200,177,144,132,122,123,138,142,143,124,117,180,224,230,225,225,224,224,224,221,220,218,217,239,237,228,212,193,180,153,132,123,121,129,131,136,120,117,194,236,227,225,226,225,224,224,223,221,220,219,219,240,232,215,193,177,168,138,121,119,125,123,122,119,137,209,234,224,226,226,226,226,225,225,224,222,220,220,220
23,162,163,164,166,166,166,167,167,169,170,171,172,172,170,168,168,169,170,171,169,170,170,171,170,170,170,168,167,163,164,165,167,166,167,169,170,171,172,171,169,170,172,183,192,186,167,165,172,172,170,170,171,171,172,170,169,164,165,166,167,169,170,170,171,173,171,174,181,191,203,206,201,187,175,164,165,133,155,175,173,173,172,172,171,165,166,168,168,171,171,170,173,174,172,209,215,197,190,187,165,130,134,130,115,115,169,174,174,174,174,174,174,167,168,168,169,171,172,173,174,171,180,220,203,165,166,142,118,145,146,138,146,172,176,174,175,175,175,175,174,167,167,169,172,173,173,175,176,169,188,220,195,147,113,128,161,179,180,180,180,176,175,175,177,176,175,175,175,169,168,171,173,174,174,176,177,171,205,220,192,155,131,182,180,187,187,168,176,176,177,177,178,178,177,177,176,170,171,173,173,174,176,177,176,176,217,211,200,147,137,201,206,216,209,139,172,188,178,178,179,180,179,179,178,171,173,174,174,175,177,179,173,185,220,202,201,162,196,220,218,210,185,125,120,145,178,181,180,180,180,179,179,172,174,175,176,177,179,180,173,199,220,200,207,219,220,214,201,188,176,178,142,82,142,187,179,180,181,180,180,174,175,177,178,179,179,180,176,213,218,211,211,213,213,207,202,202,204,206,173,102,110,190,182,183,183,182,181,175,176,178,179,180,180,177,201,216,213,210,205,208,210,211,209,203,190,176,147,104,91,153,188,183,185,183,183,176,176,179,179,181,176,197,220,215,217,212,205,201,203,204,198,188,177,178,164,100,88,106,185,185,185,185,185,177,179,181,181,181,176,206,220,219,219,213,199,194,199,200,197,189,184,186,172,108,82,114,190,186,186,186,186,179,180,181,183,183,181,201,220,218,219,217,208,208,201,194,189,179,175,171,146,109,82,144,195,185,187,187,187,180,180,181,184,187,183,196,220,218,220,218,207,210,190,162,164,156,148,137,136,108,97,176,193,188,188,188,187,181,182,182,185,188,184,193,220,219,220,215,205,202,179,139,113,100,104,131,135,102,120,195,190,190,189,188,188,182,183,184,185,187,185,191,220,219,220,213,203,190,168,145,117,42,76,136,133,99,149,200,190,191,192,191,189,183,184,186,186,187,187,189,219,219,220,215,201,205,204,142,81,59,104,127,115,94,173,196,190,192,193,192,190,185,185,186,187,188,188,188,217,220,220,215,207,209,192,139,81,77,116,103,93,112,196,193,192,193,193,192,192,185,187,186,188,190,191,188,215,220,219,216,211,209,179,142,107,74,87,94,95,126,202,191,193,194,195,193,193,185,187,188,189,191,193,189,212,220,220,215,215,211,180,141,116,72,83,104,97,140,204,193,195,195,196,194,194,186,187,188,190,191,193,190,212,220,219,216,216,209,181,143,121,90,92,110,97,163,203,194,197,196,197,196,197,186,188,189,191,192,194,189,212,220,219,218,215,205,182,147,123,98,101,112,102,186,198,196,197,197,198,197,196,187,188,190,192,193,195,190,213,220,219,217,211,198,175,144,121,105,103,103,124,205,196,197,197,198,198,198,197,188,190,191,192,193,196,191,211,220,219,213,202,187,165,137,120,112,107,94,171,205,197,199,199,199,199,198,198,190,191,193,193,193,197,193,211,220,219,210,191,172,149,131,123,116,98,121,204,199,200,199,200,200,199,199,198,191,192,193,194,195,198,194,212,220,219,209,189,171,150,131,121,113,106,187,204,199,199,200,200,200,200,200,198
14,193,194,194,194,194,195,195,195,195,194,194,195,194,195,194,192,192,191,189,189,188,187,186,185,184,183,181,179,196,197,197,198,197,197,197,198,197,196,197,198,198,197,197,195,195,193,192,192,189,190,189,187,187,185,183,182,198,198,199,200,199,199,200,200,199,199,199,200,199,198,200,201,198,197,197,197,194,193,191,191,190,189,187,185,200,202,201,202,203,203,203,203,203,202,202,203,202,201,192,182,192,196,192,189,190,195,199,191,193,191,191,189,204,205,204,204,205,205,205,205,204,204,205,206,204,197,181,161,169,173,167,172,166,136,171,206,194,193,191,190,205,206,206,206,207,208,207,207,207,206,204,185,180,192,197,193,188,172,131,141,162,133,104,154,202,198,193,192,208,208,208,208,210,210,207,208,209,207,206,205,200,206,205,197,188,177,158,126,138,150,123,116,155,186,197,193,210,210,210,210,210,210,210,209,209,208,208,195,176,168,157,141,118,121,156,161,161,168,122,128,150,123,193,200,211,211,212,212,212,212,212,211,212,212,206,175,171,174,147,117,100,100,97,126,144,127,96,82,112,83,111,199,212,213,213,212,213,214,213,214,211,195,196,207,204,187,166,148,148,175,121,168,187,158,183,139,85,79,74,123,216,216,215,215,215,214,216,216,209,197,202,196,183,154,134,127,125,116,126,210,215,215,210,222,173,74,92,97,217,217,216,216,217,216,217,218,205,199,191,161,129,80,63,66,64,99,205,213,210,209,210,207,118,103,118,113,217,218,217,218,218,218,217,215,205,195,147,99,68,60,65,69,53,157,228,210,214,210,221,153,102,135,127,101,218,219,220,219,221,220,220,215,208,189,131,80,69,72,75,82,67,176,223,214,214,217,199,112,125,132,119,90,221,221,221,221,222,221,222,215,206,184,133,76,74,75,73,75,67,202,221,216,213,225,146,101,125,126,95,136,223,222,222,223,223,223,225,214,207,171,104,74,88,73,70,72,56,178,238,213,223,198,110,106,112,113,88,195,224,223,224,223,223,225,222,210,207,167,116,100,86,72,73,69,56,73,169,224,221,121,114,121,111,81,151,221,225,225,225,225,223,226,219,210,210,181,131,103,80,73,78,77,79,79,72,134,133,94,119,120,95,118,220,210,225,227,227,226,225,227,220,206,209,175,131,108,80,75,85,92,95,100,105,102,90,106,117,107,95,203,219,212,226,228,226,226,226,227,220,201,204,176,149,110,76,78,87,100,101,106,112,123,119,101,123,91,161,228,214,215,226,227,227,227,226,230,221,196,201,184,149,109,86,75,88,105,107,106,113,126,126,112,98,100,216,221,218,216,226,227,228,229,228,231,221,199,208,185,157,127,96,75,90,108,109,111,119,132,131,118,81,159,231,218,219,218,229,228,229,231,230,231,220,201,210,184,153,123,103,77,86,111,111,116,126,133,128,99,114,230,222,222,220,219,231,231,231,231,231,233,218,204,206,175,147,126,108,86,80,112,110,116,128,128,121,80,166,235,221,223,221,219,230,230,231,231,229,234,217,201,203,170,143,130,111,93,78,103,110,114,124,121,103,89,217,226,223,223,222,221,229,229,230,231,230,234,213,196,199,167,143,132,109,94,79,95,111,109,112,112,72,161,238,223,225,223,222,221,230,230,231,231,230,235,214,191,189,166,143,121,104,93,81,89,105,105,105,81,116,229,224,224,224,223,221,220,231,231,232,232,231,235,212,188,183,163,137,118,105,94,84,88,98,101,86,102,221,230,224,224,224,224,222,220
3,133,143,149,153,157,161,168,174,176,178,180,181,182,183,184,185,185,189,188,186,187,186,186,188,188,186,185,185,136,147,155,159,162,167,174,178,181,183,185,187,188,189,189,192,198,148,185,192,190,191,191,191,191,190,189,188,143,153,160,166,170,175,180,184,187,190,192,193,194,195,195,202,212,109,156,206,196,199,199,197,196,195,194,193,149,159,165,170,176,180,185,190,194,196,198,199,201,202,201,207,213,106,125,215,203,204,204,203,200,200,199,197,156,163,170,175,181,186,190,196,200,202,203,204,207,208,208,212,218,108,106,215,210,210,209,209,207,205,204,202,159,170,175,180,186,191,197,202,205,208,209,211,212,214,215,218,230,131,99,215,215,215,215,214,213,212,209,208,162,174,181,184,191,196,201,206,209,213,214,216,219,218,217,210,242,139,84,206,224,220,221,219,218,217,214,211,167,177,184,188,194,199,205,212,213,216,219,220,220,230,250,192,153,130,105,197,230,225,225,224,224,222,218,215,171,182,188,193,199,205,211,217,220,223,227,232,205,190,255,234,132,202,131,185,239,228,229,228,227,225,223,222,176,185,191,195,203,208,215,221,225,223,209,253,248,183,223,241,173,213,93,141,249,229,232,232,230,229,229,227,178,187,195,199,207,212,218,223,227,241,213,194,253,215,188,231,159,205,136,92,220,243,236,235,234,233,232,231,181,191,198,203,211,216,221,225,231,253,255,196,162,232,170,219,157,181,194,115,140,254,238,239,238,237,234,235,183,194,200,207,213,218,224,229,238,211,202,185,98,196,137,206,230,138,197,138,115,251,243,243,240,240,239,238,186,197,203,208,215,220,228,232,243,205,149,182,93,165,140,120,140,68,168,145,118,252,247,247,245,244,243,240,190,199,205,212,218,223,230,232,242,243,192,161,127,133,206,120,29,65,206,154,111,250,249,249,246,245,245,246,191,201,207,214,221,226,231,235,246,240,164,112,93,74,152,109,59,136,237,159,94,229,255,250,249,248,247,247,193,203,209,215,222,228,234,237,246,242,193,143,108,75,77,120,169,206,208,148,92,221,255,252,254,253,249,248,196,205,212,218,224,230,236,238,248,255,214,149,117,116,130,219,255,241,178,123,104,241,255,255,255,254,253,252,197,206,214,219,226,233,238,239,247,255,225,170,145,145,154,255,255,217,168,103,119,255,255,255,255,255,255,252,197,208,215,221,228,234,237,242,247,255,236,191,157,141,167,255,254,198,153,93,148,255,255,255,255,255,255,255,198,206,214,221,227,232,237,244,247,250,235,193,167,163,164,250,244,185,136,87,187,255,255,255,255,255,255,255,199,207,215,222,228,233,237,241,246,244,233,202,186,180,152,237,223,169,120,91,222,255,255,255,255,255,255,255,200,209,216,223,230,234,238,243,246,249,233,210,187,180,141,201,201,148,108,105,248,255,255,255,255,255,255,255,200,208,215,221,228,234,237,242,245,245,247,216,187,167,122,165,163,120,96,167,255,255,255,255,255,255,250,217,203,216,223,229,237,244,248,250,254,248,255,214,185,150,123,144,130,110,113,245,255,255,255,255,252,244,210,165,141,148,154,163,172,178,184,195,196,239,255,217,193,152,139,138,127,93,166,255,222,217,240,191,207,230,164,157,109,110,111,112,113,111,111,116,113,226,249,214,194,182,150,128,111,88,230,255,228,191,210,199,166,211,126,177,118,119,123,124,123,128,134,129,139,245,235,191,185,189,138,116,92,129,215,255,232,208,165,205,177,165,123,196
15,100,109,118,122,125,129,137,143,149,154,158,162,165,167,170,173,175,179,181,184,186,188,190,191,193,194,195,196,102,110,119,123,125,130,137,144,149,154,159,162,165,168,171,173,177,180,182,185,188,189,191,193,195,195,196,197,103,111,120,123,127,132,138,145,150,156,160,162,165,169,172,175,179,182,185,187,189,190,193,194,195,196,197,198,104,113,122,125,128,134,140,146,151,156,159,164,167,170,173,177,180,182,186,187,189,191,194,195,196,197,198,199,106,114,122,125,129,134,141,148,152,156,160,163,166,171,174,176,180,183,186,188,191,193,195,196,196,197,199,199,116,121,128,131,134,142,147,151,150,154,157,160,166,170,174,177,179,183,187,188,192,195,196,198,199,199,200,201,141,132,137,140,143,153,161,164,169,167,160,157,158,160,168,169,166,165,174,186,192,195,197,199,199,200,201,201,128,112,117,124,138,150,156,165,179,175,169,169,172,179,176,177,175,157,141,135,173,194,197,199,200,201,201,202,100,98,103,107,115,127,136,151,175,182,182,183,184,186,188,177,170,185,144,118,111,165,197,200,200,202,202,202,109,119,124,125,128,132,136,139,146,158,172,190,194,172,170,176,146,193,143,117,127,119,165,199,199,201,201,202,109,118,124,127,132,139,143,152,143,131,136,142,165,163,147,154,136,192,143,114,140,144,105,170,197,201,201,203,111,120,126,127,132,138,144,171,135,118,112,123,153,157,128,122,125,161,140,127,144,146,108,102,188,200,201,201,111,120,125,127,132,138,153,183,123,106,118,134,161,154,130,118,123,120,119,130,143,134,93,78,125,197,200,202,112,120,125,127,132,140,154,193,135,114,134,143,157,145,124,118,118,119,121,135,147,141,98,74,76,144,196,203,112,121,126,127,132,139,170,198,193,158,138,126,125,116,102,101,103,113,127,140,144,138,104,78,74,80,131,190,111,120,125,127,132,138,178,202,193,193,170,123,74,65,62,57,64,83,112,131,129,121,100,87,84,78,76,103,109,118,123,126,131,137,161,197,193,180,180,179,110,41,42,37,43,52,79,120,129,124,114,110,98,87,80,78,100,105,110,114,119,122,130,183,193,175,168,188,114,54,43,36,46,46,76,130,143,142,136,128,112,93,84,82,80,83,85,85,87,88,97,193,188,172,159,154,88,58,47,42,51,51,66,113,135,140,138,129,114,96,84,88,86,87,88,89,91,93,96,168,193,174,142,132,110,66,49,50,53,61,72,88,110,122,127,122,111,95,87,88,88,87,88,90,91,93,93,109,147,161,149,135,122,81,57,55,52,62,74,82,94,112,118,113,101,95,91,89,88,89,90,91,91,93,94,94,98,103,102,101,95,86,67,61,54,59,75,85,80,99,110,108,100,95,93,92,88,89,90,91,92,91,93,93,94,97,97,96,97,100,93,83,80,77,87,97,92,94,103,101,95,89,91,93,88,88,88,91,92,92,94,94,95,97,98,98,99,106,113,124,121,110,124,132,136,128,121,113,95,87,98,101,87,88,88,89,91,93,94,94,94,96,97,98,99,99,100,119,114,138,158,163,159,150,135,123,106,103,117,117,87,87,88,89,91,93,93,93,95,97,97,98,98,99,98,98,98,115,137,146,151,134,119,108,111,119,122,137,87,88,89,89,91,91,93,93,94,95,96,96,97,96,98,99,99,101,101,111,120,109,119,126,119,114,124,150,86,88,89,90,90,90,92,93,93,93,94,95,95,97,97,98,99,99,99,101,100,115,132,134,114,119,133,153
12,59,63,72,85,90,96,100,105,106,108,111,113,116,117,120,122,123,124,125,126,127,128,129,129,129,129,129,130,59,64,73,86,91,98,101,106,106,109,111,114,116,118,120,122,124,124,126,127,128,129,129,130,130,130,130,131,60,64,74,86,93,99,103,105,108,111,112,113,118,122,120,125,118,126,128,129,130,129,130,132,132,133,132,132,61,65,77,88,94,99,103,106,109,112,115,125,96,97,129,135,90,81,130,126,129,134,131,134,133,134,134,133,61,67,78,90,95,101,104,108,113,107,140,140,103,75,113,137,101,64,86,98,81,121,138,133,135,135,135,134,62,68,78,90,96,101,105,109,113,109,158,147,118,88,95,138,111,88,59,95,71,74,136,135,136,136,137,137,64,70,82,92,96,102,106,110,112,115,159,162,131,94,91,141,115,93,56,85,89,57,112,142,135,137,138,138,64,71,83,92,98,103,108,111,108,131,138,154,143,97,83,146,115,88,53,82,87,58,120,141,138,138,139,139,66,71,83,92,99,105,106,106,114,137,134,125,129,90,67,127,113,79,50,85,81,62,132,141,139,139,140,140,65,72,84,92,99,103,113,150,158,108,73,80,110,75,54,95,86,65,54,83,73,71,141,140,141,140,141,141,66,73,88,93,100,99,144,178,137,92,73,52,96,76,50,80,76,61,53,74,65,77,144,140,142,141,142,142,67,75,87,94,100,106,155,131,120,97,83,53,82,104,57,77,101,72,60,95,77,84,149,141,142,142,143,143,67,76,89,96,97,118,151,105,109,108,87,64,42,74,42,55,96,70,61,111,94,57,103,150,142,144,144,144,67,77,90,95,96,125,145,109,89,108,85,77,33,20,41,63,69,64,87,93,73,55,64,142,145,144,144,144,68,78,90,96,96,129,160,122,96,85,77,66,29,37,76,109,115,107,107,91,77,72,73,143,146,145,145,145,68,81,92,98,95,134,159,122,107,79,63,57,44,65,109,131,131,123,109,88,81,68,96,151,144,145,145,145,69,82,93,98,96,135,155,130,113,86,72,89,83,112,137,140,136,118,98,86,71,60,125,149,145,146,147,147,70,82,92,99,99,131,148,126,111,89,89,97,92,138,139,139,135,111,91,83,66,78,147,145,147,147,147,147,71,83,92,100,101,121,146,123,107,93,91,84,97,133,131,137,126,102,85,78,62,112,152,145,148,147,148,148,72,85,92,98,104,114,144,120,109,101,95,93,112,127,131,130,113,94,81,70,69,140,148,147,148,148,149,150,73,87,95,99,106,109,137,124,118,116,104,98,117,124,126,114,97,85,76,63,94,151,146,148,149,150,150,150,75,86,93,101,107,107,129,133,119,114,102,92,100,114,114,98,82,76,72,67,132,150,147,148,150,151,151,151,76,88,94,100,107,109,122,140,114,107,97,86,83,94,93,85,73,74,64,101,152,146,149,150,150,151,151,151,76,88,94,101,107,111,117,146,125,105,89,81,85,86,86,81,72,69,72,141,147,148,150,150,151,151,151,152,76,88,94,101,107,111,115,144,137,108,91,90,97,86,86,85,73,57,100,152,146,149,150,151,151,152,152,151,77,88,94,100,108,110,125,155,146,116,106,102,101,86,79,76,68,48,108,154,146,150,151,151,151,152,152,152,78,90,95,102,104,126,147,141,163,122,113,102,97,84,75,67,64,46,110,154,146,150,151,151,151,152,152,152,79,90,96,103,105,153,159,117,149,128,116,101,92,82,66,65,63,47,119,153,147,150,151,152,152,152,152,152
2,190,191,190,191,191,190,192,192,191,192,193,192,191,191,191,191,192,189,189,189,188,188,188,187,186,185,184,183,193,193,193,193,193,193,193,194,193,194,195,193,193,193,193,193,190,192,192,190,187,188,189,188,187,186,185,184,195,194,195,194,195,195,195,195,195,196,195,194,188,182,172,165,151,165,196,193,191,190,189,188,188,187,186,186,196,196,196,197,197,196,196,195,196,196,191,177,152,129,109,91,86,115,164,163,186,192,191,191,191,189,188,188,198,198,198,198,198,199,197,197,192,187,167,130,99,83,76,60,59,71,101,96,174,194,193,193,193,191,191,191,199,200,200,199,200,200,199,192,182,159,119,82,61,53,51,50,54,67,77,86,166,196,194,194,194,193,191,192,200,201,200,199,200,200,198,186,173,119,70,51,46,48,53,46,48,57,68,78,106,192,195,194,194,194,193,193,201,201,200,199,200,201,196,187,153,93,49,39,46,49,50,48,57,69,77,91,146,197,196,196,196,195,195,195,202,202,201,201,202,202,193,183,129,72,44,48,47,42,54,63,61,72,108,168,195,198,199,198,192,180,187,196,202,202,203,202,203,201,193,178,124,74,48,54,45,55,62,64,98,164,191,201,200,200,201,194,173,141,155,198,203,203,204,204,205,197,196,174,123,77,55,45,50,69,76,133,187,203,202,201,201,202,196,175,163,114,160,199,205,205,205,206,198,187,199,170,120,76,57,42,59,67,123,205,204,203,203,202,202,202,183,165,145,108,187,200,207,207,206,207,188,177,200,172,130,83,55,46,59,71,174,208,205,205,205,204,204,201,171,164,118,118,200,200,208,208,208,209,185,175,204,178,143,92,54,50,56,112,207,207,207,207,206,206,203,188,163,154,106,127,203,202,208,208,209,210,184,186,210,184,150,106,62,52,53,146,214,210,209,209,208,206,189,172,169,149,94,131,205,203,208,208,209,212,185,194,214,186,155,116,68,52,56,139,196,184,178,186,196,188,170,172,162,123,97,175,203,204,209,210,211,211,183,199,214,184,157,127,75,51,60,85,116,128,134,138,144,138,154,157,129,101,165,203,203,204,210,211,212,211,182,199,212,185,163,131,82,56,66,93,123,142,142,127,122,116,123,120,96,159,205,205,206,205,210,212,212,211,180,199,210,191,167,133,87,71,77,115,134,149,139,121,104,99,95,84,143,205,206,207,207,206,211,212,213,209,183,199,208,193,166,132,96,83,78,116,128,138,133,114,95,86,73,117,202,209,208,208,207,207,213,213,215,209,188,201,205,194,163,130,103,92,79,105,118,122,120,104,88,75,100,188,212,210,210,209,209,208,214,214,215,208,195,205,204,198,163,125,104,91,77,100,103,104,99,88,82,127,190,212,211,210,210,209,209,208,216,215,215,206,200,207,200,191,152,111,94,83,75,95,89,91,81,89,158,206,213,212,210,210,210,209,209,208,215,214,215,202,201,206,196,182,141,96,85,79,78,89,78,78,96,171,213,214,214,213,211,211,211,210,210,209,214,214,214,202,196,198,195,186,149,93,87,87,84,81,67,112,187,214,216,214,215,213,212,212,211,210,209,209,214,215,213,202,198,192,196,196,163,92,92,94,89,71,111,198,212,214,215,214,213,212,212,212,210,208,208,208,214,215,209,204,208,199,201,199,169,96,95,98,90,101,192,216,215,215,215,214,213,213,212,212,210,209,208,207,215,215,207,206,209,207,203,196,168,101,91,94,88,152,215,216,216,216,216,215,213,213,214,213,211,211,209,208
5,158,158,158,159,161,162,162,162,163,164,164,164,163,164,163,164,164,164,163,162,161,160,158,158,158,156,155,154,160,161,161,162,164,165,165,165,166,167,167,167,167,164,153,161,166,166,166,165,164,162,161,160,160,159,158,157,164,165,165,166,167,168,169,169,170,171,170,168,170,168,135,148,169,170,169,168,167,166,165,164,163,162,161,159,168,168,169,170,171,171,172,173,174,174,170,154,162,174,132,136,171,173,172,171,170,170,169,168,167,165,164,163,171,172,173,174,175,176,176,177,177,177,174,144,144,174,131,127,173,177,176,175,174,173,172,171,170,169,167,166,174,175,176,177,178,179,179,180,180,181,182,148,134,172,129,126,176,180,179,178,177,175,175,174,173,172,170,169,177,177,179,180,181,181,176,177,183,184,188,152,129,170,134,131,179,183,182,182,181,179,178,177,176,175,173,172,180,181,182,183,184,182,161,158,183,186,191,156,127,166,132,136,182,186,185,184,182,182,181,180,179,178,176,175,183,184,185,186,186,187,160,138,179,188,192,157,122,161,128,138,185,188,186,178,164,173,183,183,181,180,180,179,185,187,187,188,189,192,166,128,175,191,191,155,115,159,137,142,186,188,186,174,150,155,182,186,184,184,183,182,187,188,189,190,192,193,170,127,172,192,190,162,115,149,143,146,186,184,172,158,163,154,166,184,187,186,185,184,189,190,191,192,194,195,182,134,163,191,190,169,113,132,143,150,185,183,150,122,156,152,148,182,190,188,187,186,192,192,193,194,195,197,191,154,155,186,190,171,116,126,141,147,177,177,148,143,164,143,156,188,192,190,188,187,194,194,195,196,197,196,192,183,165,169,177,164,130,132,133,134,161,162,150,173,165,134,174,193,193,192,190,189,195,196,197,198,198,198,192,196,183,162,156,149,131,130,127,130,157,158,158,182,150,128,184,196,195,194,193,192,197,198,199,200,200,201,198,200,201,173,148,137,123,121,123,130,154,157,167,185,135,129,190,198,197,196,195,194,198,199,200,201,202,202,202,205,213,186,142,124,112,111,120,134,153,153,169,187,135,141,196,199,198,198,197,196,199,200,201,202,202,203,203,207,217,192,142,111,105,106,121,144,159,152,165,185,140,151,198,201,200,200,198,196,200,201,202,203,204,204,204,207,216,192,145,110,103,109,133,156,174,173,165,174,138,154,200,202,201,201,200,198,201,202,203,205,206,206,206,206,213,190,148,111,102,118,147,169,186,186,165,150,120,149,201,204,202,201,200,200,202,203,204,206,207,207,207,205,212,192,152,114,104,126,161,183,190,184,157,120,95,144,202,206,204,203,201,201,203,205,206,207,208,209,209,205,209,192,154,117,107,128,171,193,190,172,137,97,93,162,205,207,206,205,202,202,205,206,207,208,209,210,210,204,202,190,154,120,111,130,177,194,181,154,118,90,131,195,208,208,208,206,204,202,206,207,207,208,209,210,210,201,194,186,153,128,117,129,172,182,166,137,102,109,180,210,209,209,208,207,205,203,205,206,207,208,209,211,211,201,189,179,151,134,119,127,161,169,152,117,95,149,205,212,211,210,209,208,206,204,204,205,207,208,209,210,210,201,186,174,150,135,116,121,149,151,128,96,121,191,212,212,211,210,209,208,207,205,204,205,207,208,208,210,210,201,189,174,149,133,115,111,130,122,98,106,173,209,212,212,210,210,209,208,207,206,205,206,208,208,209,210,211,200,190,169,139,127,113,104,113,97,88,147,204,213,213,212,211,211,209,208,206,205
5,105,106,107,107,108,109,109,110,112,115,113,115,116,116,114,120,116,115,115,114,115,114,114,114,112,111,109,113,109,109,111,112,113,114,114,115,115,115,117,117,118,118,124,95,118,118,116,117,116,114,114,115,116,112,120,75,114,115,116,117,116,117,119,119,119,119,120,124,122,124,145,34,104,125,120,120,117,120,119,116,116,122,92,0,117,119,120,121,121,122,123,124,124,124,124,120,119,153,121,33,119,126,123,123,133,81,109,121,119,111,11,0,123,124,125,126,127,126,127,128,129,125,152,80,93,172,68,75,138,126,124,123,107,38,108,125,130,67,0,0,127,129,130,131,131,132,132,132,132,124,168,87,96,151,43,119,134,132,113,108,49,70,131,126,124,28,0,21,132,133,134,135,136,137,136,135,136,131,169,95,101,115,53,142,136,114,104,59,55,134,132,131,120,16,11,18,136,138,138,138,140,140,140,140,140,138,162,91,90,73,83,149,105,92,75,45,131,137,135,134,136,49,16,18,140,141,142,142,143,143,144,144,144,141,174,107,61,46,126,101,63,64,37,116,148,137,139,137,140,69,12,12,143,145,145,146,147,147,147,146,146,146,178,122,58,59,112,58,49,26,105,153,142,142,140,138,144,95,6,0,147,147,148,148,149,150,149,149,149,150,169,111,58,58,62,57,35,75,164,147,146,146,142,142,146,126,4,0,149,149,151,152,152,152,152,152,154,152,159,128,58,40,39,58,35,125,153,142,157,149,145,147,149,136,83,78,151,153,154,155,155,155,155,154,156,154,160,150,81,34,30,39,53,137,83,80,123,156,154,149,146,152,80,122,153,154,156,157,158,157,156,157,158,158,159,160,102,44,35,33,50,61,65,99,100,114,140,154,155,154,78,162,156,157,158,158,160,159,160,161,161,161,163,175,136,72,36,39,34,49,56,78,121,119,115,127,131,124,135,108,160,160,161,161,163,163,164,163,163,163,166,184,158,96,43,34,46,38,27,62,89,90,111,118,93,83,112,75,161,162,162,163,164,164,165,165,166,166,165,189,170,105,50,27,42,27,75,159,147,129,104,100,136,125,65,83,163,164,164,166,166,165,166,168,169,168,167,194,175,112,58,25,23,58,182,165,170,161,122,142,127,73,118,152,164,165,167,168,168,168,168,169,170,168,167,197,174,116,66,27,1,67,150,178,160,110,124,117,54,107,174,159,167,167,168,169,171,170,170,169,171,170,169,200,171,114,66,22,12,38,42,134,103,109,121,59,66,169,164,162,168,169,170,171,171,172,171,171,173,169,178,200,164,113,66,20,18,46,50,51,76,109,73,75,164,168,166,166,169,170,171,171,172,172,173,173,175,164,179,198,160,113,67,27,24,50,56,71,78,72,69,167,172,167,168,166,170,171,173,173,174,175,175,174,176,165,181,193,155,110,65,29,30,59,65,72,58,53,157,177,169,172,169,168,171,173,175,175,176,176,176,177,174,165,188,184,150,106,62,29,29,59,69,66,42,136,184,169,173,172,171,170,172,174,175,176,176,177,177,182,167,171,200,178,144,97,59,33,28,61,72,46,79,188,175,175,176,174,172,171,174,176,177,177,178,178,179,182,160,196,198,171,138,97,57,35,38,67,64,32,143,185,178,179,177,177,174,172,176,177,177,178,179,179,183,168,173,203,185,166,143,95,52,38,44,65,39,89,189,177,179,179,177,177,176,174,176,178,178,179,180,181,179,160,187,185,178,161,123,72,45,34,47,50,69,177,184,182,181,179,178,177,176,174
21,100,115,132,146,155,158,169,177,184,189,192,195,197,200,203,204,206,207,206,206,205,205,204,202,202,200,199,199,99,116,134,147,155,160,171,180,187,191,194,203,204,204,208,210,211,212,211,211,210,209,208,207,207,206,204,204,101,117,135,149,157,162,173,182,187,199,205,153,189,214,211,213,215,215,215,215,214,216,216,212,212,211,209,208,102,119,137,151,158,163,175,184,188,203,212,145,133,220,213,216,217,217,218,219,221,176,196,221,215,214,214,213,104,121,138,152,158,165,177,185,191,199,218,177,109,199,220,217,220,221,221,222,234,162,132,227,219,219,217,217,105,123,140,154,160,167,179,187,194,198,229,195,111,163,229,220,222,222,223,224,239,179,112,216,226,222,222,221,107,125,142,156,162,169,180,189,197,198,228,211,118,127,229,223,224,225,226,229,242,182,111,198,233,223,224,224,107,127,144,158,163,171,182,190,198,200,218,219,140,111,212,228,226,227,229,231,239,173,114,187,236,226,228,226,109,128,145,160,165,173,185,193,200,204,213,235,178,117,185,235,226,230,230,233,234,178,119,186,238,227,229,229,111,130,148,161,167,176,188,196,202,207,210,241,196,124,153,237,228,231,231,237,236,186,121,193,240,228,228,228,112,132,149,163,167,177,189,197,203,209,209,242,207,129,128,229,232,232,232,241,226,176,123,202,239,232,238,241,114,134,151,166,169,178,190,198,204,210,210,240,221,148,119,210,237,234,234,246,212,165,117,222,251,234,206,166,116,135,153,166,170,181,191,200,206,211,213,232,242,183,128,182,242,234,235,249,217,164,119,191,151,109,86,70,118,137,155,168,172,182,194,201,208,213,215,220,229,191,134,153,242,234,238,247,208,168,111,74,64,66,69,81,118,138,156,168,173,184,195,202,208,212,223,213,167,150,139,131,232,238,240,234,195,160,95,65,67,69,60,66,117,138,156,167,172,183,195,202,208,208,235,223,188,200,137,109,209,239,221,209,183,141,87,59,55,71,67,56,119,139,157,168,173,184,196,202,210,210,242,246,228,226,153,111,135,180,189,190,161,121,68,71,51,58,73,64,119,140,158,168,173,185,196,202,209,210,241,255,246,219,165,124,105,121,161,177,147,110,44,61,69,46,62,68,117,138,158,169,174,185,196,203,215,177,176,220,244,222,197,147,130,126,121,132,131,107,43,40,73,62,49,62,127,142,158,167,173,185,194,207,233,181,154,147,214,192,208,178,159,162,121,93,109,106,55,28,57,74,55,53,124,122,128,131,134,139,133,188,245,220,193,139,145,171,156,183,173,165,145,108,91,96,71,27,40,68,69,58,124,124,125,126,127,131,118,191,222,228,209,162,113,121,126,108,147,170,166,143,110,84,79,35,31,57,70,65,128,130,129,130,133,135,123,194,194,175,216,178,120,88,125,94,89,189,197,175,149,107,81,49,27,45,67,64,129,131,130,132,134,136,125,204,218,166,178,195,132,108,106,116,91,155,228,203,173,137,102,65,30,35,61,66,129,130,130,131,133,135,126,204,217,179,128,155,163,151,114,122,120,163,183,227,196,154,120,93,41,26,52,67,129,130,130,130,132,136,125,191,220,162,123,117,150,173,134,140,152,190,173,211,215,168,130,111,56,24,38,61,129,130,129,131,132,135,125,166,217,168,157,137,125,150,157,170,187,202,230,208,194,148,139,115,65,35,28,51,128,129,129,131,131,134,127,149,226,197,171,141,140,154,175,192,224,225,228,202,171,114,132,109,66,50,26,36
21,145,148,152,155,158,160,162,163,165,166,167,168,169,169,169,168,167,167,166,165,165,164,163,163,161,159,159,158,145,149,153,156,159,161,163,164,166,167,168,170,170,171,170,165,165,168,168,167,166,165,164,163,162,161,160,159,147,150,154,157,160,162,164,165,167,169,170,172,172,173,172,149,146,168,170,169,168,167,165,165,164,163,162,161,148,151,155,158,161,164,165,166,168,171,172,173,173,176,177,134,123,165,171,170,169,168,167,166,166,164,163,162,149,152,156,160,162,165,167,169,170,172,174,174,174,178,177,132,124,166,173,172,170,165,162,167,167,166,165,165,150,153,157,161,164,166,168,170,172,173,175,175,175,182,176,131,127,168,174,172,167,147,135,161,169,168,167,166,152,155,159,162,165,167,170,172,173,174,175,177,177,185,176,132,131,170,175,172,163,133,116,157,170,169,168,167,153,156,160,164,167,169,172,173,174,176,177,178,179,186,175,133,133,172,176,172,158,127,122,163,172,171,170,168,152,156,160,164,167,170,172,174,176,178,178,179,180,188,173,131,131,172,176,170,153,122,135,170,174,172,171,169,153,157,161,165,168,171,173,175,177,179,179,180,182,192,173,129,130,173,176,167,146,121,151,174,175,173,172,171,155,158,163,167,170,172,174,176,178,180,180,181,184,195,172,126,135,175,172,161,134,124,165,177,175,174,174,172,156,160,164,167,170,173,175,177,179,180,177,174,182,189,158,118,141,176,170,154,121,134,173,178,176,175,175,174,157,161,164,167,171,174,176,178,180,181,165,146,154,162,132,106,143,175,170,145,118,153,178,179,177,176,175,175,157,162,165,168,172,174,177,179,181,182,162,132,121,113,101,99,143,170,163,130,125,170,181,180,179,178,177,176,158,162,166,169,173,175,178,180,185,185,175,158,135,105,87,100,132,149,142,117,142,179,182,181,180,179,178,177,159,163,167,170,174,177,179,183,191,194,191,190,162,120,88,92,108,120,115,113,161,183,183,182,182,181,180,179,160,163,167,171,175,178,180,186,182,181,186,187,160,118,91,86,93,100,99,124,176,185,184,184,183,182,181,180,160,164,168,172,176,179,181,188,168,157,163,154,151,124,98,86,84,89,95,141,184,187,186,185,184,183,181,181,161,164,169,173,177,180,183,192,174,148,128,117,146,139,109,90,82,84,95,153,188,188,187,186,185,184,183,183,161,165,170,174,177,180,186,193,168,136,113,104,141,152,124,101,87,84,94,154,189,188,187,187,186,185,183,183,162,165,170,175,178,180,189,194,167,145,131,126,163,168,139,117,95,87,94,155,190,189,188,188,187,186,185,184,162,166,171,175,179,181,194,197,175,156,141,159,195,177,145,127,103,91,99,159,191,191,189,189,188,187,186,185,162,166,171,176,179,182,196,202,184,157,152,190,201,170,141,126,107,95,104,164,192,192,191,190,189,188,187,186,163,167,172,177,180,183,197,207,185,157,163,199,194,165,138,121,107,98,112,172,194,193,192,191,190,189,188,187,162,166,172,176,179,182,195,200,175,163,167,198,191,167,144,117,103,99,121,179,194,193,192,192,190,189,188,188,160,165,171,175,178,181,190,189,175,175,167,195,187,162,142,117,102,100,131,184,193,193,192,191,189,188,187,187,161,165,171,175,178,181,186,186,189,183,168,190,177,150,129,112,102,102,140,188,194,193,192,191,190,188,188,187,161,166,171,175,178,181,184,187,193,178,162,181,167,139,117,105,99,102,148,190,194,194,193,191,190,189,188,187
14,177,179,181,179,181,183,185,180,189,211,198,162,132,99,161,185,186,188,183,184,184,185,183,184,182,182,181,180,179,181,183,183,183,185,179,193,223,195,134,110,95,85,111,162,162,161,186,184,184,185,184,184,183,184,183,182,181,182,184,185,185,180,206,231,207,149,88,88,85,87,120,146,127,100,186,187,187,188,188,187,186,186,185,184,182,185,186,186,183,191,241,210,149,104,86,93,80,65,89,110,88,129,199,186,188,190,188,188,189,187,186,184,184,186,187,189,180,209,242,188,97,69,65,74,79,93,87,99,112,129,168,191,189,190,191,190,191,188,188,187,185,186,188,191,183,224,241,181,97,67,61,65,82,101,76,86,143,153,111,143,199,189,193,193,190,190,189,189,185,186,190,191,189,238,230,156,90,74,81,62,64,75,71,70,95,112,82,164,205,193,193,194,194,192,192,191,186,188,191,190,197,242,222,150,83,74,93,72,78,95,105,104,88,94,87,129,154,194,195,194,195,194,193,193,190,191,194,188,208,242,228,177,114,81,79,78,89,81,88,80,89,107,111,110,94,160,198,195,196,195,194,194,191,193,196,187,225,242,229,179,127,93,66,92,96,82,117,145,188,171,141,121,154,134,178,203,196,196,197,197,193,195,195,192,235,242,231,176,122,99,75,91,79,166,213,205,201,206,203,161,173,132,184,204,198,199,197,197,194,195,195,197,239,242,234,186,132,95,81,75,90,198,202,201,202,207,180,145,167,127,194,203,200,199,199,199,197,199,197,203,242,242,237,193,144,100,80,71,165,211,202,204,203,208,171,147,165,120,191,205,202,201,199,200,198,200,197,205,242,242,238,199,149,108,69,91,210,204,205,204,203,213,163,137,164,114,163,212,202,203,202,201,199,201,202,207,242,242,239,202,156,118,67,129,218,202,207,205,208,204,146,137,153,123,135,214,204,204,205,204,200,203,203,208,242,242,239,205,159,120,71,135,216,211,214,215,212,144,138,161,152,114,156,215,205,205,206,205,202,202,200,210,242,241,240,205,159,124,99,65,102,137,139,168,156,118,145,151,137,130,208,209,207,205,205,205,202,203,201,210,242,241,240,202,161,137,117,75,75,84,94,107,113,127,143,144,117,184,215,207,207,207,206,206,203,205,202,216,242,242,239,198,171,154,128,87,87,103,113,125,129,123,135,121,155,218,209,212,209,209,208,207,205,207,203,222,242,242,237,204,185,163,132,100,93,115,119,123,129,126,111,120,214,213,212,213,210,209,209,208,205,209,205,225,242,242,237,216,194,165,131,110,96,113,121,122,126,124,99,181,220,213,213,212,212,211,210,210,207,208,206,230,242,242,237,224,199,164,130,111,99,109,122,117,124,105,164,223,213,213,214,214,213,213,213,213,206,208,204,232,241,240,236,224,195,150,110,100,96,106,116,119,108,128,223,215,216,215,215,215,213,213,213,213,213,217,219,242,242,242,239,218,176,115,89,91,90,102,109,115,103,196,221,214,217,216,216,216,215,214,214,213,183,167,156,167,147,140,122,104,87,64,55,66,85,100,102,97,170,226,216,219,218,218,219,218,215,215,214,215,97,86,74,66,58,53,44,40,41,35,24,24,38,67,89,163,227,216,218,219,218,218,219,219,218,218,215,217,92,86,76,71,67,60,49,46,44,34,25,23,22,16,49,225,221,221,221,221,221,220,220,220,218,218,218,218,91,84,75,68,60,56,47,43,39,32,23,20,24,16,53,227,222,223,222,222,222,220,220,220,219,219,220,219
15,121,126,130,133,103,92,95,98,85,42,100,109,40,0,38,59,60,66,70,75,82,97,108,113,120,125,129,133,122,127,131,132,101,96,96,103,77,49,105,110,29,0,45,58,61,66,71,78,83,99,108,113,121,126,130,133,123,128,133,131,101,100,99,107,66,59,108,105,17,1,49,57,62,66,72,78,84,100,109,113,121,126,131,135,126,129,134,127,99,97,97,111,57,70,111,103,7,6,51,57,62,68,72,78,86,100,107,114,122,126,132,136,128,132,134,127,124,114,103,103,58,78,110,94,0,7,54,57,63,67,73,79,88,103,108,116,123,128,132,136,127,133,136,130,120,121,119,113,105,100,104,87,37,36,58,59,61,66,73,78,89,104,110,117,123,128,132,136,129,133,138,121,99,94,82,97,103,106,109,114,114,103,99,93,87,81,77,78,91,108,110,118,125,128,134,138,130,135,139,118,104,99,74,73,81,75,87,116,108,108,107,109,118,118,99,85,83,89,112,118,125,129,135,139,131,135,140,117,107,108,113,90,51,80,67,94,98,93,88,95,118,134,122,97,90,58,82,122,125,130,134,139,132,136,138,115,107,108,117,85,51,119,112,50,60,90,75,99,130,132,122,112,107,78,55,106,129,131,134,139,134,138,140,112,109,109,120,75,57,119,124,24,0,51,82,140,129,133,136,133,124,100,72,66,127,132,136,139,134,139,140,111,113,108,124,77,70,119,120,11,0,58,101,153,101,131,142,147,143,110,80,55,85,138,135,140,136,140,135,114,114,123,114,97,102,99,100,20,60,128,116,85,90,133,144,152,141,109,85,70,52,114,142,139,137,142,133,113,120,127,105,110,125,121,96,77,96,98,87,50,79,163,137,123,124,111,96,76,55,66,140,140,137,143,130,112,122,110,80,95,123,126,95,81,94,90,92,98,113,115,94,96,111,112,93,74,65,45,100,148,138,144,129,116,122,122,95,75,108,110,83,88,100,97,102,113,114,92,70,77,96,96,83,70,65,53,53,130,139,144,127,121,123,124,117,52,111,82,66,82,90,94,101,113,103,81,67,68,78,80,81,79,70,63,48,67,139,145,127,123,123,129,103,55,133,66,42,54,70,74,91,103,101,81,69,71,75,75,81,85,74,69,59,46,141,145,126,125,123,133,94,87,91,50,40,22,77,89,65,86,87,78,75,77,77,77,80,82,74,68,62,53,141,143,125,127,124,129,125,77,48,42,31,0,131,138,60,79,81,75,79,86,88,86,83,78,75,71,64,57,141,142,125,130,124,137,117,53,33,63,22,0,94,140,87,82,112,102,109,111,100,90,83,74,72,75,71,59,143,140,124,131,128,135,75,40,70,125,15,0,47,101,115,68,80,114,110,107,99,86,78,71,71,73,75,68,146,138,124,134,129,143,58,85,142,126,3,3,56,60,80,62,45,86,102,92,89,80,75,74,75,77,77,73,145,139,128,137,134,146,53,115,148,121,0,7,59,64,60,63,66,81,117,89,78,77,74,77,83,82,74,71,145,135,131,138,138,143,48,120,152,114,0,12,62,62,63,65,70,70,103,129,97,68,68,69,76,83,82,74,144,134,134,139,140,136,48,131,152,99,0,17,62,60,61,64,68,73,74,123,145,110,84,67,70,83,94,81,144,135,138,141,145,126,54,139,155,85,0,25,64,59,60,62,69,72,78,94,138,110,91,102,99,105,98,87,145,138,141,141,149,116,56,143,157,71,0,29,65,58,60,63,68,72,79,93,102,98,112,123,113,116,113,108
18,201,203,204,206,208,210,209,209,212,211,212,213,212,211,210,211,210,210,209,208,208,208,207,207,205,205,204,202,203,204,206,207,209,211,211,212,214,213,214,215,215,214,212,213,212,211,210,211,212,210,209,207,208,207,206,206,207,207,208,209,212,213,213,214,213,214,215,215,215,215,214,214,214,213,212,212,212,211,211,210,210,208,207,206,207,208,211,213,214,214,215,215,216,216,215,216,216,216,216,216,215,216,214,214,213,213,215,210,210,209,208,208,207,209,212,213,215,215,215,215,216,217,216,217,217,217,218,217,216,216,217,215,214,212,208,213,211,212,210,209,209,210,213,215,215,216,217,217,218,219,218,219,220,219,220,219,217,216,217,212,236,196,160,220,213,213,212,211,211,214,214,216,216,217,219,220,220,220,221,220,220,220,220,220,223,222,217,220,254,197,118,209,217,214,213,212,212,215,216,216,218,220,221,223,222,222,222,222,222,221,225,206,176,201,190,181,252,220,128,162,227,213,215,215,214,215,217,219,220,222,223,223,223,224,224,224,223,224,242,226,175,150,160,180,252,231,163,107,196,224,213,216,214,216,219,221,221,223,223,225,226,227,227,224,229,214,173,201,213,167,133,162,229,229,180,144,129,203,222,215,216,217,220,222,222,223,225,227,227,227,225,237,235,210,170,119,189,183,136,112,148,203,192,165,135,127,225,218,217,219,221,223,224,225,227,227,229,224,245,255,251,216,188,138,135,183,133,101,93,158,213,168,147,108,214,223,219,221,222,223,226,227,227,228,228,232,253,234,255,222,191,151,105,133,119,96,80,181,223,190,152,114,217,222,220,221,223,225,228,228,228,231,227,255,254,212,236,211,199,150,106,107,110,97,81,157,221,204,155,110,213,224,221,222,224,227,228,229,230,229,244,254,236,216,226,182,162,130,103,125,103,82,83,159,212,207,159,109,214,226,222,224,226,227,229,231,229,234,255,242,205,181,211,140,126,116,118,144,100,119,142,174,214,194,151,106,213,230,223,226,226,228,230,231,231,236,255,255,227,180,158,154,147,80,117,151,180,207,211,172,177,172,148,101,203,231,224,226,228,230,232,235,231,245,255,255,238,193,148,162,138,57,167,235,235,212,197,181,139,155,150,102,190,235,225,228,229,231,233,237,232,255,255,255,219,184,171,160,121,140,255,243,230,208,174,175,145,135,143,98,203,236,227,229,231,232,234,235,235,255,255,245,205,195,169,137,143,235,246,236,220,201,175,162,150,127,117,121,232,229,227,229,230,233,235,234,239,255,255,240,207,202,169,141,204,251,240,228,215,198,171,155,144,125,96,185,239,227,229,229,230,233,235,235,242,255,255,240,213,219,165,186,216,241,236,218,210,193,158,148,135,111,110,232,232,231,230,230,232,234,236,236,243,255,255,239,228,212,171,173,216,221,226,207,200,177,150,137,128,91,166,245,231,233,230,230,232,235,237,236,242,255,254,243,234,195,161,159,202,209,207,201,188,166,144,128,108,105,229,236,234,234,230,231,233,235,237,236,246,255,251,247,219,171,143,174,188,203,198,188,175,150,130,115,83,185,245,233,236,235,231,233,235,234,237,237,251,249,238,231,199,169,164,184,189,198,194,177,161,138,120,86,146,244,233,235,237,235,232,233,236,237,238,237,255,255,255,241,229,211,192,175,188,198,184,160,142,129,94,125,240,237,236,237,237,236,230,235,230,222,238,242,255,255,255,245,226,208,191,165,177,192,168,146,134,109,106,225,243,238,237,237,237,237
7,142,153,161,167,172,174,176,177,180,183,184,185,185,187,187,188,187,187,186,186,185,182,181,180,178,177,176,174,143,154,162,168,173,176,177,178,182,185,186,187,187,188,189,189,188,188,188,187,186,185,183,181,180,180,178,175,144,155,163,169,174,176,178,180,183,186,186,188,189,190,191,191,190,190,190,189,187,186,184,183,182,181,180,178,146,156,165,170,175,177,180,182,185,186,187,190,191,192,193,192,192,192,192,191,189,188,187,186,185,183,182,180,147,156,165,171,175,179,181,184,186,188,189,191,192,193,193,194,194,193,193,192,191,189,189,188,186,185,184,181,148,157,166,172,177,180,181,184,187,189,191,192,193,194,195,195,195,195,194,194,193,192,191,190,188,186,184,183,149,158,166,173,178,181,182,185,189,190,192,193,194,195,196,197,198,198,196,195,194,192,191,190,190,188,186,185,149,158,167,173,179,182,183,186,189,191,192,192,190,188,184,178,170,168,167,168,158,150,162,166,175,189,187,186,150,159,168,173,179,183,180,169,162,158,156,156,150,139,133,134,115,117,122,122,119,120,154,153,148,189,189,187,151,160,168,173,179,180,164,137,123,128,130,134,133,126,120,112,106,105,108,105,109,108,116,115,142,182,189,189,152,160,168,173,176,170,153,124,107,110,113,116,119,121,122,121,120,107,107,115,111,106,102,97,113,135,160,189,153,161,168,168,165,156,147,131,116,112,119,127,132,133,132,129,120,99,99,113,106,98,96,90,103,119,126,184,158,166,165,162,156,154,148,135,127,128,133,139,132,128,125,119,103,91,92,96,92,88,87,85,90,105,141,189,172,168,165,162,160,156,142,117,101,108,117,118,110,108,105,101,96,107,121,135,144,152,156,160,164,172,187,193,174,170,169,165,155,141,131,100,85,94,92,81,98,135,149,167,181,191,198,203,203,202,202,201,199,197,195,194,173,171,167,154,139,133,122,98,84,74,65,59,73,103,111,152,205,206,204,204,203,202,202,200,198,197,195,194,174,170,156,141,130,124,125,121,100,74,68,71,70,66,60,74,185,207,206,205,204,203,202,201,200,198,196,194,168,155,138,129,126,125,132,134,106,75,70,73,73,70,66,75,185,208,206,205,205,204,203,202,201,200,198,195,148,136,126,123,119,114,118,112,86,68,61,61,67,67,63,69,177,208,206,206,206,205,203,202,201,200,198,195,133,127,122,120,114,103,99,92,77,60,54,63,70,69,63,83,179,209,207,207,206,205,203,202,201,200,197,195,127,120,114,108,100,90,88,92,86,70,69,76,75,68,91,177,207,208,207,207,206,205,203,202,201,200,198,196,116,107,102,98,95,94,100,105,92,75,72,74,82,104,172,207,208,207,207,206,206,204,202,201,201,200,198,196,111,107,105,100,96,95,97,94,80,81,119,151,175,194,204,205,206,205,205,205,204,203,201,200,199,198,196,195,103,103,101,95,89,86,85,88,111,162,195,202,203,203,204,205,206,205,205,204,203,203,201,201,200,198,196,194,74,76,94,95,96,104,130,164,188,197,198,200,202,203,204,205,206,206,205,204,203,202,201,201,199,197,196,193,33,46,146,157,166,176,185,190,193,196,198,201,202,202,203,204,204,204,204,204,203,202,201,200,197,195,194,192,14,56,162,173,179,182,184,188,191,194,196,199,201,203,203,203,202,202,203,202,202,201,199,198,196,194,193,188,8,81,178,176,177,178,179,180,181,182,180,180,182,182,182,178,176,176,175,171,168,166,163,160,157,152,145,121
3,175,178,181,183,184,185,185,186,188,188,188,188,184,202,187,174,188,186,185,184,183,181,180,178,178,176,174,172,178,180,184,185,186,188,188,189,190,191,191,191,185,213,212,149,188,190,187,186,185,185,182,182,180,178,175,174,180,183,185,187,189,190,191,191,193,193,194,193,190,204,232,148,172,195,189,189,188,187,185,184,182,180,178,176,183,184,187,189,190,192,193,193,194,194,194,196,195,196,240,179,160,199,192,191,191,189,188,186,184,182,180,178,183,186,188,190,193,194,195,196,196,196,196,197,200,191,239,204,148,196,194,193,192,191,190,188,187,185,182,182,186,189,191,194,195,195,197,198,198,199,198,198,196,214,241,209,159,190,200,196,195,192,190,190,188,187,185,183,188,190,193,195,195,197,199,200,201,198,210,230,215,225,244,247,204,172,198,198,196,194,194,193,191,189,188,186,189,192,195,197,197,199,199,201,204,196,230,252,251,234,194,214,217,150,198,198,187,199,196,195,193,192,191,189,190,193,196,199,201,202,202,203,202,213,241,240,212,224,194,151,214,181,204,176,175,205,197,197,195,194,193,191,193,195,198,201,202,204,204,206,204,243,251,243,197,177,204,169,185,216,202,158,148,207,200,200,198,196,194,193,195,197,201,203,205,206,207,206,211,241,209,183,220,205,178,198,153,152,192,174,137,182,208,201,200,198,197,195,197,199,202,205,206,207,208,206,218,243,186,119,142,170,138,148,136,108,174,199,162,156,209,203,201,200,199,197,198,201,204,206,206,208,210,208,223,239,172,147,135,131,132,131,127,110,159,209,166,166,209,205,203,202,201,199,199,203,206,207,208,211,212,208,231,237,202,179,147,137,137,142,126,117,192,215,165,178,211,205,204,204,203,201,201,204,206,208,210,212,213,210,235,245,210,168,142,140,147,145,149,172,217,220,167,188,212,206,207,206,204,202,203,205,207,210,212,213,215,213,235,243,196,155,140,144,155,157,197,224,230,215,161,197,213,209,208,207,206,203,203,206,210,211,212,214,216,213,235,242,198,160,147,149,159,179,229,240,226,199,155,202,215,211,210,208,207,206,204,207,211,212,213,216,218,215,234,246,207,168,153,155,162,203,242,238,216,174,162,212,214,211,210,210,207,207,206,209,212,213,216,216,219,215,231,248,212,177,158,161,175,225,240,231,209,162,168,219,213,213,217,215,213,206,206,210,212,214,215,217,218,216,229,250,223,186,163,166,184,236,238,220,200,157,178,222,215,217,185,159,156,142,206,209,212,214,216,217,218,219,226,248,227,195,173,173,189,232,233,210,189,153,192,221,223,189,134,136,130,127,207,210,213,217,217,219,219,221,222,241,229,205,184,186,186,219,217,192,173,153,208,222,216,155,131,129,126,122,208,211,214,216,218,219,220,222,223,238,234,213,192,191,173,191,195,169,153,164,227,215,159,126,115,103,91,77,208,212,213,216,218,220,220,228,201,214,245,219,195,180,158,163,166,155,138,187,181,141,128,120,105,93,93,84,212,214,217,220,222,222,227,205,97,177,252,217,183,158,140,142,145,145,110,90,109,129,128,127,112,88,84,87,194,199,202,205,208,209,216,138,51,154,240,198,159,134,123,134,134,121,74,47,83,117,116,121,128,100,79,84,139,141,143,144,143,142,151,133,77,108,187,192,153,119,130,138,119,90,53,65,106,101,102,105,125,118,87,78,139,137,142,142,139,141,145,151,127,113,136,177,148,124,140,129,106,84,69,86,109,88,85,96,113,123,101,78
1,177,180,185,187,190,191,191,194,195,195,196,194,196,199,196,196,196,196,197,197,197,197,198,196,196,196,195,194,181,184,187,191,194,195,196,197,197,198,198,204,191,185,202,198,200,200,200,199,200,200,200,200,199,198,197,197,184,189,191,194,196,198,198,199,201,202,195,215,199,129,208,209,204,204,203,202,203,204,204,204,203,201,200,200,188,191,194,197,200,202,202,203,201,222,201,167,212,117,175,184,209,208,207,207,207,207,208,207,206,206,205,204,190,195,196,201,203,205,205,209,203,231,203,143,213,119,129,137,175,219,208,209,210,210,211,209,208,209,208,206,193,196,200,204,207,207,208,211,208,232,210,146,216,147,134,161,133,224,210,212,213,213,214,211,210,210,210,209,195,199,205,206,208,212,212,216,205,222,232,144,210,177,125,174,120,204,218,216,216,215,216,216,215,214,212,212,199,203,206,209,210,214,213,224,216,154,239,155,183,189,130,190,148,176,228,217,219,219,219,219,218,217,216,214,203,206,209,212,215,218,215,232,220,128,233,168,159,198,147,204,189,147,224,220,220,222,220,220,219,219,218,216,206,209,212,214,217,220,216,232,223,134,226,179,161,220,169,175,215,141,203,230,224,224,223,222,221,220,220,217,208,211,213,215,219,222,219,235,236,144,226,217,158,223,182,151,231,170,170,236,224,227,227,226,224,223,222,220,210,213,216,217,221,224,221,238,237,142,212,231,146,185,187,135,235,199,149,230,229,229,228,228,227,226,225,224,212,215,218,221,225,227,223,237,239,166,169,224,116,160,201,122,211,213,145,210,237,230,231,230,229,230,228,226,215,217,220,224,226,228,227,238,247,185,129,217,179,186,192,199,220,177,147,181,244,230,233,232,231,231,229,227,216,219,222,225,227,230,229,238,249,170,138,197,237,193,176,237,213,161,161,136,236,235,234,233,233,232,231,229,216,219,222,226,228,232,231,239,243,200,214,164,204,196,200,246,189,159,170,126,199,245,236,235,234,234,233,232,217,220,223,226,230,233,232,240,246,224,214,163,166,214,250,240,222,188,148,128,157,248,238,238,236,235,234,234,217,222,226,228,230,234,233,247,248,202,193,166,191,243,245,201,214,237,205,149,123,242,241,240,238,237,237,237,218,222,227,231,232,235,233,250,255,195,173,188,216,196,178,137,196,255,244,205,138,215,248,240,241,241,240,237,218,222,227,229,233,233,233,246,255,214,168,171,156,153,147,206,227,237,239,200,154,165,254,241,243,241,240,238,218,222,225,227,232,233,233,238,255,239,167,179,186,208,244,255,254,236,221,185,128,160,254,240,242,242,241,239,219,223,226,228,232,234,233,237,255,255,187,186,202,211,255,255,255,236,208,179,116,168,255,239,242,242,241,239,220,224,226,230,232,234,236,235,255,255,216,192,214,200,255,255,255,236,199,169,112,184,254,241,244,243,241,240,221,224,225,229,232,233,235,235,250,255,238,202,236,192,241,255,255,229,188,156,111,200,255,243,245,243,241,242,220,224,226,228,231,233,236,237,239,255,252,220,244,199,217,255,250,215,181,147,108,208,254,243,246,244,242,240,221,227,231,233,237,240,241,245,243,252,255,241,233,212,187,255,246,211,173,139,108,224,255,247,245,244,245,244,144,149,153,160,164,167,170,176,172,209,255,250,224,206,175,223,237,196,158,131,120,223,233,237,247,252,246,242,122,120,121,123,123,123,125,128,117,156,255,234,212,195,169,192,217,181,145,128,127,139,181,241,236,233,253,240
7,120,140,154,161,167,172,176,176,178,181,184,185,186,187,187,188,189,189,189,188,186,186,184,183,182,180,179,178,122,142,155,163,168,173,176,178,179,182,185,186,188,188,188,189,191,190,190,189,188,187,186,184,184,182,180,179,123,144,155,164,169,174,177,179,181,184,186,187,189,190,191,192,192,192,192,191,190,188,188,187,185,184,182,181,124,144,156,165,171,175,178,181,183,186,187,188,190,192,193,193,193,193,192,192,192,190,190,189,188,186,185,183,125,145,156,165,172,176,179,181,184,187,187,189,191,193,194,194,194,194,194,194,193,192,192,191,189,187,186,184,126,146,157,166,172,177,180,182,185,187,189,190,192,194,195,195,195,195,194,193,190,186,185,185,187,189,188,185,126,146,157,166,172,177,181,183,185,187,190,189,188,184,178,171,160,158,155,156,145,139,160,164,161,189,188,187,127,147,158,167,173,178,178,170,163,158,158,156,150,139,133,134,115,121,123,120,119,122,152,151,139,187,191,189,130,149,159,168,174,178,164,137,129,133,135,139,137,128,121,114,109,109,111,109,111,108,110,108,128,166,181,190,130,149,158,168,177,173,154,123,114,118,118,120,122,122,123,125,123,110,114,122,117,111,107,102,108,131,136,179,131,150,162,171,171,161,147,126,113,110,119,128,135,137,136,131,120,100,104,118,108,99,97,91,99,118,116,170,134,161,169,167,161,156,150,138,132,134,139,143,135,133,128,121,104,93,95,99,94,92,92,93,98,113,142,186,163,171,167,165,163,158,143,120,111,116,124,123,116,113,107,100,96,108,124,141,154,165,172,177,182,186,192,194,179,172,170,167,161,145,130,98,91,100,99,87,82,98,138,159,178,190,199,203,203,203,203,201,200,198,196,195,176,173,170,159,142,135,120,93,85,79,69,59,63,73,96,116,186,206,204,204,203,202,202,201,200,198,196,195,175,173,162,146,136,129,123,113,94,74,71,72,72,68,63,58,138,207,204,205,204,203,202,202,201,199,197,196,174,164,145,134,129,127,135,135,107,78,74,76,75,73,70,63,133,208,206,205,204,204,203,203,202,199,198,196,159,144,129,125,124,122,125,120,90,70,66,65,68,69,67,57,108,204,207,206,206,205,203,203,201,200,199,196,137,130,124,122,116,108,108,97,77,62,54,60,71,73,69,69,133,203,206,207,206,206,203,202,201,201,199,197,131,127,123,117,108,95,89,90,84,71,68,76,79,74,72,140,202,207,206,206,206,205,203,202,202,201,199,196,123,114,107,101,94,91,95,104,97,78,73,74,76,85,131,195,205,205,205,204,204,204,202,202,200,199,197,195,115,108,104,101,97,97,100,101,88,74,91,125,153,180,199,202,203,204,203,203,203,202,202,201,200,198,196,195,110,107,105,101,94,90,88,84,85,123,176,197,201,202,202,203,203,203,203,203,203,202,202,201,200,199,196,195,88,89,91,91,87,86,98,128,162,190,197,198,200,200,202,202,203,203,203,202,203,202,202,201,199,198,196,195,56,37,89,129,136,151,171,183,188,192,195,197,199,201,201,202,202,202,202,203,203,202,202,201,198,197,195,194,40,13,113,170,174,179,182,183,186,189,192,194,195,197,198,198,198,197,197,196,194,193,193,192,189,187,185,183,20,18,120,152,148,147,146,146,146,146,145,143,142,143,143,142,140,137,137,135,132,130,128,125,122,116,97,89,4,27,96,109,109,110,109,109,111,111,109,109,109,110,110,108,107,106,105,104,104,103,102,99,96,69,36,30
20,133,135,137,140,142,143,146,147,149,152,151,151,152,153,155,156,144,157,162,161,160,162,162,162,162,162,163,163,134,137,139,141,142,145,148,148,150,152,153,154,155,154,159,166,117,136,145,155,163,162,163,162,163,163,163,163,135,138,142,143,144,146,148,149,151,152,154,156,157,154,163,171,123,149,128,123,169,162,164,164,164,163,163,164,136,138,141,144,145,147,149,151,152,154,155,155,157,157,165,166,127,166,143,113,167,164,165,165,165,165,165,166,137,139,142,145,146,147,150,151,154,155,156,156,159,157,172,176,136,165,145,113,165,165,166,166,166,166,165,166,137,140,143,145,147,148,150,152,154,155,157,158,160,156,180,175,141,176,151,115,165,167,166,167,166,166,166,167,138,141,144,146,148,150,152,154,155,156,157,158,162,158,179,160,144,178,149,113,164,169,168,168,168,168,168,169,139,142,144,147,148,150,152,155,157,157,163,139,137,166,177,146,143,176,143,111,165,171,170,170,170,170,170,169,139,142,145,147,149,151,154,156,157,162,164,144,102,138,180,141,147,177,136,111,168,171,170,170,170,170,170,170,140,143,146,147,150,153,153,154,155,154,166,146,129,113,131,129,141,166,134,117,170,170,171,171,171,171,170,171,140,143,146,147,150,154,150,173,169,122,146,164,160,145,109,97,115,149,129,118,174,170,172,172,172,172,172,171,140,144,147,148,151,153,157,172,167,140,135,157,169,156,125,87,104,131,117,119,176,171,172,172,173,172,172,172,142,145,148,149,152,153,160,164,145,157,116,87,143,171,148,108,102,115,104,119,178,172,173,173,173,173,174,173,142,145,148,149,152,154,160,169,122,119,107,80,108,179,168,130,94,105,100,116,178,172,174,174,175,174,173,174,142,145,148,151,152,153,160,168,149,136,118,102,110,163,185,151,107,97,96,115,179,173,175,175,176,175,174,174,142,146,149,150,153,153,164,184,157,133,118,112,125,148,194,161,128,98,88,110,179,173,176,176,176,175,175,175,143,146,149,150,154,154,169,179,144,127,122,128,134,170,188,161,137,101,83,111,181,174,176,176,176,175,175,175,143,147,150,152,154,153,172,179,151,135,136,130,151,201,180,152,138,103,80,115,182,174,176,176,176,176,176,176,143,148,151,153,154,153,174,183,155,140,139,138,172,203,180,151,134,109,80,125,182,175,178,177,177,177,176,176,144,149,151,153,155,153,172,187,163,143,139,154,181,190,175,154,133,110,79,135,183,175,178,178,178,177,176,176,144,148,150,152,156,153,172,190,162,154,146,157,188,181,168,153,127,110,81,151,182,175,177,177,177,177,177,177,145,148,151,153,155,155,171,189,167,166,155,156,190,179,165,154,125,105,84,162,181,176,178,177,178,177,177,177,145,149,152,154,155,157,163,187,176,173,169,155,180,171,161,152,128,100,85,161,181,177,178,177,177,177,178,177,145,148,152,152,156,160,159,177,180,176,171,161,166,170,156,151,125,101,87,166,181,178,178,178,177,178,178,177,146,149,151,153,155,160,158,171,183,173,162,157,162,164,150,158,131,99,97,175,178,178,178,179,178,178,178,178,145,149,151,153,156,160,158,170,180,162,155,147,156,163,149,159,132,96,114,182,176,179,179,179,178,178,178,178,145,149,150,153,155,160,160,172,177,159,155,147,155,167,145,156,126,90,139,184,176,179,179,179,179,178,178,178,145,149,151,154,155,160,159,174,186,171,162,154,157,168,138,149,118,91,163,181,178,179,180,179,179,179,179,179
8,155,157,158,158,159,160,159,160,160,159,158,159,159,156,155,156,155,153,152,152,152,150,148,147,146,143,142,142,157,158,159,160,160,160,162,163,162,162,161,160,160,158,157,157,156,155,154,152,151,151,151,149,147,145,143,143,159,159,160,162,161,166,165,164,163,164,164,162,162,161,160,159,158,157,156,154,153,152,151,150,149,147,144,143,159,160,161,167,152,119,164,166,165,165,165,164,164,163,162,160,159,159,158,157,155,154,154,152,151,148,145,144,161,163,162,168,136,74,145,171,165,166,166,166,165,165,165,162,161,160,160,158,157,156,155,154,152,150,148,145,163,164,165,166,113,69,145,175,168,168,167,167,166,165,165,165,165,165,162,161,162,157,156,154,152,152,151,148,164,165,168,164,103,69,162,173,171,171,171,169,167,167,166,165,159,148,162,161,148,160,157,156,154,153,152,150,165,167,169,159,89,72,173,171,172,174,163,171,172,171,172,171,132,94,91,147,107,146,162,156,155,153,152,151,166,167,169,164,96,69,168,175,174,147,106,108,168,144,119,132,135,110,65,101,98,121,169,157,157,155,154,152,168,169,172,167,106,64,161,179,160,135,122,88,110,125,91,70,125,125,88,60,98,92,167,159,159,158,155,153,167,170,172,162,104,57,137,185,152,149,137,108,87,126,100,77,125,123,89,50,82,68,122,169,158,158,156,155,168,171,173,167,135,90,105,186,146,149,150,116,79,116,119,83,112,106,70,45,67,89,67,147,164,158,157,156,169,171,172,172,159,114,87,163,137,133,155,121,77,99,129,80,85,108,84,44,59,94,57,124,169,158,157,157,169,173,173,175,162,114,111,128,123,109,150,119,83,75,119,85,70,130,110,56,73,98,59,148,166,158,159,158,171,172,174,176,173,152,146,118,123,98,127,123,77,59,109,96,54,120,107,50,92,91,71,167,164,161,159,158,172,172,175,176,178,167,143,113,94,93,114,119,83,58,75,74,28,40,54,65,107,77,92,175,163,163,160,159,171,173,176,176,179,169,125,100,80,70,85,127,116,77,46,41,77,85,81,124,117,62,117,176,164,164,161,159,172,174,177,177,179,165,140,119,91,80,78,126,129,89,63,88,134,137,122,115,107,51,139,175,164,164,162,161,172,174,177,179,178,176,156,127,91,78,75,113,115,85,71,124,140,136,126,89,77,56,164,168,165,164,163,163,173,176,178,179,179,174,160,129,101,88,78,99,134,131,133,154,143,127,114,82,46,108,179,166,166,165,163,163,175,178,179,179,179,172,163,138,114,94,83,100,159,166,168,159,135,116,104,65,56,169,172,169,167,166,165,164,176,178,180,180,180,170,157,139,115,92,91,110,165,158,153,145,121,105,93,45,118,183,170,170,168,166,165,164,176,177,179,180,181,166,151,144,119,96,97,119,158,150,148,133,111,98,72,58,173,175,172,171,170,167,165,164,176,179,181,181,184,171,154,149,121,104,99,124,149,149,144,122,101,89,47,119,186,171,172,172,170,169,166,164,176,178,180,181,182,181,162,155,131,113,95,120,143,138,131,111,91,66,58,177,178,175,173,173,171,170,167,165,177,179,180,181,182,183,172,157,132,114,98,111,133,124,113,93,75,37,133,188,175,176,173,173,171,169,166,165,177,179,180,181,183,183,174,153,132,112,102,106,121,114,97,82,44,98,191,178,179,176,174,173,171,169,167,166,177,179,180,182,184,183,175,149,130,115,111,106,113,110,91,66,61,179,183,180,179,177,175,173,172,170,169,167
12,149,150,152,152,152,153,153,152,153,154,154,153,154,156,154,154,154,154,154,154,154,155,153,153,153,152,153,153,152,153,153,153,154,154,155,155,155,156,156,157,156,154,156,158,156,154,155,155,156,156,155,155,155,154,154,152,153,153,154,155,156,156,156,158,157,157,156,147,154,167,149,139,155,159,157,157,157,158,157,156,155,156,155,154,154,155,157,156,157,158,157,158,156,179,168,141,125,184,163,128,119,164,157,159,161,158,158,158,158,157,157,157,155,157,159,158,158,159,160,159,162,200,184,158,111,165,187,149,96,147,155,132,145,164,159,160,160,159,159,158,157,158,159,161,160,161,161,159,166,200,196,166,119,135,197,161,120,91,150,129,95,151,164,161,162,160,160,159,159,159,160,160,161,163,163,161,169,192,198,171,132,111,190,167,139,85,124,139,81,112,172,161,164,163,162,161,159,160,161,161,162,163,164,161,172,182,189,183,143,98,164,174,140,98,80,125,88,104,174,164,165,163,163,162,160,161,163,164,164,165,164,164,165,150,173,183,165,132,116,164,130,87,52,90,85,112,174,164,166,165,165,164,162,163,164,165,166,161,168,187,143,120,139,157,165,131,81,98,100,58,78,112,73,124,175,166,167,166,166,166,162,162,165,168,163,176,198,178,120,101,106,99,131,102,76,88,118,99,137,123,74,146,172,167,168,168,167,166,164,165,165,164,175,201,184,155,120,103,74,69,86,120,112,125,156,177,157,108,73,163,175,169,170,169,168,168,163,165,167,166,193,178,158,163,138,116,77,72,76,76,86,103,144,184,188,170,121,103,164,173,170,170,169,169,165,165,165,170,192,170,148,167,147,117,86,67,84,86,84,78,148,175,190,173,142,106,99,175,171,170,170,169,166,165,164,184,190,167,136,156,159,150,117,73,87,102,93,147,181,172,167,151,144,138,90,156,176,171,171,170,165,167,167,181,199,180,149,113,155,175,131,84,84,105,146,187,181,173,161,126,131,125,91,165,175,172,172,172,166,167,168,176,199,190,167,127,116,143,167,144,86,161,193,181,174,164,152,124,108,93,104,181,173,172,173,173,167,167,168,176,200,195,174,143,139,121,131,128,145,199,192,182,169,157,141,119,94,73,137,181,174,175,174,173,167,168,169,174,193,196,183,153,150,145,112,138,194,194,194,179,157,146,125,114,84,80,169,176,174,176,175,174,167,167,167,170,187,191,191,169,156,147,141,137,189,193,190,170,143,130,115,110,75,109,184,173,175,176,176,175,167,166,168,165,177,194,194,183,165,150,151,133,177,191,177,161,130,113,117,102,68,144,181,174,175,175,175,175,166,167,169,167,164,195,195,184,168,153,148,141,163,186,162,143,119,108,121,88,79,173,176,176,175,175,175,174,167,168,169,172,163,186,186,168,159,152,147,146,150,165,149,125,113,114,111,73,119,185,175,176,175,175,175,175,167,169,170,174,165,181,177,155,150,147,149,142,143,150,141,130,111,108,92,82,169,179,176,176,175,175,175,175,167,170,170,172,168,177,175,158,157,157,151,141,139,151,148,124,97,96,73,137,184,176,177,176,177,177,177,176,168,169,171,171,168,174,180,167,165,161,155,149,136,156,141,105,89,77,98,181,175,178,177,177,177,177,177,176,166,168,170,173,170,172,187,170,171,167,157,156,128,152,126,100,87,72,153,184,177,179,178,178,177,177,176,176,112,115,115,121,118,152,195,178,176,174,162,157,125,142,121,102,77,84,166,167,169,171,173,175,176,177,176,175
3,144,152,157,160,163,167,172,177,178,180,181,183,184,184,185,185,186,189,188,186,187,186,186,188,188,186,185,185,146,155,161,164,167,171,176,180,182,184,186,187,188,188,189,192,196,156,185,191,190,190,190,191,190,190,189,188,152,160,165,170,173,177,182,185,187,190,191,192,193,194,193,199,207,125,162,203,194,197,196,195,195,194,193,192,157,165,170,173,178,182,186,190,192,195,196,197,198,199,199,204,208,123,137,210,200,201,201,200,198,198,196,195,162,168,174,178,182,186,190,194,197,199,200,201,203,204,204,207,212,124,122,210,206,206,205,204,203,201,200,199,164,173,178,181,186,190,195,199,202,204,205,207,207,209,210,212,222,142,116,209,210,210,210,209,208,207,205,204,167,176,182,185,190,194,199,202,205,208,209,210,212,212,211,206,231,149,104,202,216,214,215,213,212,211,209,207,171,179,185,188,193,197,202,207,208,211,213,214,213,221,237,191,160,141,121,195,222,218,218,217,216,215,212,210,174,183,188,192,197,201,207,211,214,216,219,223,201,190,251,225,143,199,142,186,229,220,221,220,219,218,216,215,178,186,191,194,200,204,209,214,217,216,205,240,236,184,216,230,176,208,112,151,237,221,223,223,221,221,221,219,180,188,193,197,203,207,212,216,219,230,208,192,240,210,188,222,165,202,146,111,213,232,226,226,225,224,223,222,182,190,196,200,206,210,214,217,222,240,246,194,167,224,174,213,163,182,193,130,150,241,228,229,228,227,225,226,184,193,197,203,208,212,216,221,228,207,199,186,116,195,147,203,221,148,195,148,130,238,232,232,230,230,229,228,186,195,200,204,209,214,220,223,232,201,157,183,112,169,149,133,149,91,172,154,132,240,235,235,233,232,232,229,190,197,202,207,212,216,222,223,231,232,192,167,139,144,203,134,60,90,202,161,126,237,237,237,235,234,234,234,191,198,203,209,214,218,222,226,235,230,169,127,112,97,159,125,84,147,227,165,113,221,243,237,237,236,235,235,192,200,205,210,215,220,225,227,234,231,192,152,124,97,99,133,173,202,204,156,111,214,248,239,241,240,237,236,195,202,207,212,217,221,227,228,236,246,208,157,131,130,142,213,252,230,180,136,120,230,247,242,243,240,240,239,195,202,208,213,218,224,228,229,235,247,218,173,154,154,161,242,252,212,172,120,133,246,244,243,244,243,241,239,195,204,210,214,220,225,228,231,235,243,226,191,163,150,172,243,241,196,160,112,156,255,244,246,245,244,243,242,196,202,209,215,219,223,227,233,235,237,225,192,171,168,169,237,233,185,146,107,187,255,246,248,247,247,244,242,196,203,209,215,220,224,227,231,234,233,224,199,186,182,159,227,216,172,134,110,215,255,245,246,247,247,244,242,198,205,211,216,221,225,228,232,235,237,224,205,187,182,150,198,199,156,124,121,236,251,247,246,245,244,245,246,198,204,210,215,220,225,227,231,234,234,235,210,187,171,135,169,168,134,114,171,255,247,249,248,248,249,238,211,200,211,216,221,227,233,236,238,241,236,246,209,186,157,136,153,141,126,128,233,250,250,242,247,239,233,206,170,150,156,160,168,175,180,185,194,194,229,246,211,192,159,149,148,139,112,171,250,215,211,229,190,203,221,168,163,124,125,126,127,128,126,126,130,128,218,237,209,193,183,157,140,126,108,221,255,220,190,205,197,170,207,139,179,132,133,136,136,136,139,145,140,149,234,226,190,185,189,148,130,111,141,209,246,223,204,170,202,179,170,136,195
13,141,142,149,154,159,162,165,168,171,172,174,176,178,179,179,180,180,180,180,181,180,180,180,179,179,177,175,176,142,143,150,155,160,163,166,169,171,173,175,176,178,180,180,181,181,181,181,182,183,182,181,181,180,179,177,177,142,144,150,156,161,164,167,170,173,175,177,178,179,181,182,181,182,182,183,184,184,184,182,182,182,180,178,179,143,146,152,157,161,165,168,172,174,176,179,178,181,179,179,184,184,184,184,186,185,184,183,183,182,181,181,180,143,146,152,159,163,166,170,173,175,176,178,181,214,193,148,170,187,185,185,187,186,185,185,184,184,182,181,181,144,146,152,159,164,168,170,173,175,176,178,190,245,222,166,141,189,188,165,165,188,186,186,186,186,184,182,182,144,148,153,159,165,169,171,174,174,187,182,178,238,226,184,136,157,171,142,104,170,190,187,187,186,185,184,183,145,148,153,159,165,170,172,171,191,226,183,152,193,199,170,109,137,131,109,90,137,193,187,187,187,186,186,185,145,148,155,160,165,168,185,174,196,233,196,149,169,185,155,107,145,117,89,85,131,194,189,189,189,188,187,186,146,150,157,162,165,178,230,178,146,215,212,164,132,188,192,178,166,136,86,71,135,196,191,189,188,188,187,186,148,151,158,163,161,206,233,192,148,171,218,174,109,118,182,190,176,176,142,78,150,196,192,190,189,189,188,187,148,151,157,163,165,213,218,205,162,129,207,178,128,55,104,140,172,193,190,132,158,197,192,191,192,190,189,188,146,150,155,160,168,216,200,204,168,118,173,193,140,63,62,88,160,213,215,186,128,179,193,191,189,188,188,187,145,149,155,158,183,231,200,196,181,127,117,197,145,73,69,150,191,194,196,183,132,134,196,192,191,189,188,188,147,150,157,157,218,227,191,172,180,141,84,174,168,124,170,209,198,191,170,150,148,111,183,193,192,191,190,189,147,152,158,157,224,230,199,160,157,172,114,147,208,220,214,199,188,181,155,131,134,113,179,194,192,192,191,190,146,151,157,158,228,235,211,194,173,177,194,212,228,227,205,187,183,160,140,118,109,141,194,193,192,192,191,189,144,150,156,160,230,239,220,208,192,180,203,223,226,219,194,172,163,146,132,105,115,185,195,193,191,192,191,189,146,151,157,157,223,239,226,208,193,181,198,220,220,203,178,155,145,142,117,104,170,198,196,194,192,191,191,191,130,131,135,129,197,238,228,213,196,187,199,217,203,175,160,150,147,129,103,108,140,139,139,136,135,135,134,135,101,102,104,96,148,235,227,215,200,193,197,211,192,161,146,151,140,113,100,98,96,94,93,92,92,91,90,90,107,109,109,106,121,226,219,215,201,188,189,208,193,152,133,135,119,103,102,103,103,100,99,98,98,97,96,96,108,109,110,111,109,210,211,215,207,190,185,204,188,139,122,118,104,101,103,101,102,103,101,100,99,99,99,97,111,111,111,111,104,196,212,220,215,196,180,198,185,136,118,108,101,104,104,102,101,101,102,101,100,100,99,97,112,114,113,113,103,183,218,229,223,205,176,190,188,141,115,101,101,106,104,102,101,101,101,100,99,100,98,96,111,112,113,114,107,158,227,231,223,203,176,182,189,143,111,97,101,106,105,103,102,103,101,99,100,100,98,94,111,112,112,111,110,128,222,220,201,187,174,175,182,142,110,94,102,106,104,103,102,105,101,99,100,100,95,159,111,112,113,113,112,113,213,214,185,181,184,168,172,146,112,93,101,106,105,103,103,106,101,99,99,95,135,217
19,152,152,154,157,156,157,159,160,160,161,162,161,160,160,159,161,161,158,158,157,157,156,155,155,154,153,152,152,152,154,155,158,159,160,161,162,162,162,161,162,161,160,159,142,144,162,159,158,159,159,158,158,156,155,154,154,153,156,158,160,161,162,162,163,164,163,164,163,160,170,165,124,80,148,164,159,160,160,160,159,157,155,154,155,154,156,160,161,162,163,163,164,163,163,164,165,160,180,163,130,74,118,172,159,160,161,160,160,158,157,157,156,156,158,161,162,163,164,165,166,165,165,166,165,163,184,159,132,76,107,173,160,162,161,161,161,159,158,158,158,158,160,162,164,166,166,168,167,168,167,167,166,168,183,148,123,68,101,175,161,164,162,160,159,161,159,160,159,159,162,164,166,167,167,168,168,168,168,169,166,172,183,134,99,64,103,173,157,160,153,166,172,146,161,161,161,160,163,166,166,168,168,169,168,168,168,169,166,171,178,146,125,141,158,165,152,171,153,192,202,107,159,161,162,162,164,166,167,169,172,171,170,169,169,173,176,174,166,167,165,182,185,171,157,170,161,150,133,116,167,162,162,163,166,167,169,171,171,171,170,177,184,190,195,191,173,152,145,145,144,131,115,107,106,104,121,161,165,165,164,166,168,168,171,170,177,180,175,188,196,195,187,171,161,151,144,109,75,95,112,133,145,164,171,166,166,165,164,167,168,170,171,177,197,187,182,179,178,178,175,176,175,174,178,130,76,168,173,175,172,170,167,166,166,165,164,168,169,173,170,185,200,190,186,179,182,187,188,185,178,175,164,121,63,158,173,169,169,170,168,168,166,166,166,170,172,175,173,182,200,188,180,185,192,191,192,184,172,168,149,104,52,121,182,169,172,170,169,168,168,167,166,171,174,174,174,182,195,175,171,177,187,190,177,167,176,182,181,124,56,74,176,173,173,172,171,169,169,168,167,172,174,177,175,190,183,167,169,169,157,157,178,192,183,175,184,125,59,54,156,179,174,173,172,171,171,169,168,173,176,177,177,189,168,169,174,171,158,179,190,176,166,167,159,109,64,43,138,184,174,174,174,173,172,172,171,173,176,178,178,182,183,188,185,190,195,191,178,171,165,153,130,89,60,42,154,181,175,175,175,175,174,172,172,174,177,179,180,178,199,198,186,183,185,183,171,155,150,164,171,129,44,105,186,175,176,176,177,176,175,174,173,175,177,179,182,177,190,200,178,171,163,136,129,167,188,187,187,151,57,135,188,176,178,176,177,176,175,175,174,175,179,181,182,182,175,189,173,166,156,151,175,198,179,156,152,129,60,86,190,178,180,177,179,177,175,175,174,177,179,181,183,185,179,178,192,190,182,188,189,173,155,144,133,102,42,118,192,179,180,180,179,177,176,175,174,176,179,181,183,187,182,175,194,193,171,170,170,158,142,123,90,84,123,177,184,182,181,182,180,178,177,177,175,176,179,181,184,187,183,172,181,181,158,158,150,131,110,77,48,156,195,182,183,182,182,181,180,179,179,178,176,176,178,180,182,185,182,166,174,171,145,136,119,96,75,61,51,140,191,181,182,182,181,180,180,178,178,178,176,177,180,181,183,185,185,161,164,164,138,124,121,106,68,63,51,92,195,181,183,182,181,179,180,179,178,178,176,178,181,182,185,186,185,163,157,155,136,115,100,84,65,62,50,90,194,182,183,182,180,180,181,180,178,177,176,178,181,183,185,187,182,163,164,150,146,123,97,75,69,65,49,99,197,183,184,183,181,181,181,181,180,179,178
20,131,132,133,134,134,134,135,134,136,136,135,134,134,135,134,132,132,130,128,127,126,124,122,121,120,118,116,115,135,135,135,138,137,138,137,137,138,139,139,138,137,136,133,135,134,132,132,130,128,127,124,123,121,119,118,117,139,139,141,141,141,142,141,141,142,142,142,142,140,148,142,92,139,140,133,134,132,130,129,127,126,122,121,120,142,143,145,145,144,144,146,146,145,145,145,146,143,150,153,77,97,125,141,135,135,133,133,130,129,127,124,123,146,148,148,149,149,149,150,149,149,150,150,150,148,153,154,73,55,77,128,144,138,136,135,134,131,130,127,125,150,151,152,152,153,153,154,152,152,153,153,154,151,159,150,55,89,97,96,153,141,141,139,138,135,134,132,129,153,154,155,156,157,157,156,157,157,156,157,158,154,165,151,57,112,118,73,153,146,145,142,142,139,137,135,134,158,159,159,160,160,161,160,160,161,161,161,162,156,175,155,66,115,130,70,150,150,148,147,146,143,140,138,136,162,162,162,162,163,163,164,163,164,165,165,164,159,183,139,58,125,150,74,143,157,151,150,150,147,143,141,140,165,164,165,165,165,167,166,166,166,168,168,166,166,193,125,63,146,147,70,139,162,154,153,152,151,148,145,143,168,168,168,170,170,170,170,170,169,170,170,153,138,168,136,77,154,147,65,134,166,156,156,154,152,151,149,147,171,172,172,172,172,172,173,173,173,172,173,182,166,135,115,75,126,153,81,131,168,159,158,157,155,153,151,149,172,174,173,174,176,176,176,175,175,175,174,159,178,156,128,100,107,150,87,124,172,161,161,159,158,155,153,152,175,176,177,177,178,177,178,178,178,177,181,147,105,141,163,100,59,100,74,114,176,163,164,162,161,158,156,154,178,179,179,178,179,178,179,180,180,179,183,167,48,108,161,110,56,49,49,103,179,164,165,164,162,160,157,155,179,180,180,179,180,180,181,181,180,180,184,159,66,81,148,141,88,74,40,84,181,168,168,166,165,163,159,157,181,181,181,181,181,181,182,182,182,179,174,153,115,72,64,125,120,100,48,62,181,170,170,168,166,164,162,158,182,182,183,183,183,184,184,185,183,179,173,160,143,103,56,88,117,102,57,46,174,174,172,171,167,166,164,160,184,185,185,185,185,185,185,186,179,169,125,118,152,127,79,66,100,134,94,40,152,184,172,172,171,169,165,162,186,186,186,186,186,186,188,187,176,172,139,65,85,132,65,46,74,136,126,54,89,189,174,174,172,170,167,165,187,187,188,188,188,189,189,189,178,165,132,87,44,92,65,42,96,157,150,85,44,172,181,176,173,172,170,167,189,189,189,190,190,190,190,192,178,168,159,114,55,79,85,65,157,175,142,80,48,174,181,177,175,173,171,168,190,192,192,192,192,192,192,194,177,171,173,114,79,84,135,159,186,152,126,50,70,189,179,179,178,173,170,169,193,193,193,194,194,193,192,196,179,168,167,130,91,81,170,196,172,131,109,38,108,194,177,180,178,174,172,171,193,193,194,195,195,195,194,198,182,156,152,133,94,80,160,173,151,114,88,39,145,191,179,179,179,177,172,171,191,192,193,193,193,194,194,197,187,154,150,132,104,89,154,169,138,101,64,44,177,185,181,180,178,176,177,182,193,194,194,194,194,195,196,195,196,163,147,135,120,90,144,162,123,82,34,93,196,181,181,179,179,182,169,119,195,195,195,195,195,196,197,197,199,172,154,137,116,86,113,130,90,55,26,159,192,183,182,180,171,127,67,19
4,202,204,206,207,208,209,208,208,208,208,210,209,209,212,213,210,209,212,213,210,209,210,209,209,208,208,207,206,205,207,207,208,210,211,210,210,211,211,212,212,211,203,197,208,215,197,191,214,215,209,212,212,210,208,209,209,208,209,209,210,212,213,212,212,214,213,208,211,221,208,175,162,184,191,163,160,205,217,213,214,213,211,211,211,210,210,210,212,214,214,215,216,213,209,195,178,174,218,223,175,115,138,188,137,104,210,217,214,215,214,215,213,212,211,212,214,214,216,216,217,222,230,227,188,131,127,222,174,126,66,130,149,75,176,227,215,216,216,216,216,214,215,216,216,216,212,213,181,162,203,204,212,149,80,173,187,121,69,86,143,85,161,231,217,217,218,218,216,217,218,218,217,217,222,224,177,104,99,147,218,181,90,101,199,168,89,63,171,108,155,234,219,220,220,219,218,218,217,218,218,222,201,192,190,127,73,74,205,220,123,69,202,200,118,63,163,137,167,233,221,222,221,221,221,218,219,220,219,219,208,145,172,178,117,43,159,223,131,74,162,201,131,66,112,118,179,234,222,224,223,224,223,219,221,222,222,222,214,138,128,183,136,78,106,133,112,90,100,139,109,71,91,86,105,232,224,226,225,223,224,222,222,222,222,225,220,199,171,148,113,82,100,100,106,116,117,109,94,86,127,131,94,175,238,223,225,225,224,222,223,224,224,227,229,205,176,142,113,100,111,110,111,135,127,128,94,129,179,169,149,118,223,230,227,228,226,223,224,225,226,229,231,196,164,142,121,123,123,128,149,149,168,186,191,147,177,184,161,96,157,243,226,228,227,224,226,226,226,229,226,188,149,133,114,123,140,153,179,196,206,224,224,210,189,166,127,91,95,228,231,229,229,225,227,228,227,228,233,205,169,141,127,139,148,156,219,209,210,221,214,205,185,155,116,90,82,213,236,228,230,226,229,230,230,227,236,221,182,148,131,135,148,177,225,208,216,216,215,199,179,156,117,86,103,234,231,230,230,227,229,231,231,229,231,228,196,166,136,135,157,178,226,217,227,228,215,198,180,150,115,74,160,246,230,234,233,228,230,231,231,231,230,234,214,178,144,147,171,169,222,227,234,235,224,207,173,134,108,79,216,243,236,235,233,229,230,231,232,232,229,233,226,188,155,159,184,174,217,231,239,241,241,208,162,127,90,115,245,236,237,235,234,230,231,232,233,234,229,225,233,202,159,167,183,186,219,230,244,246,236,192,151,127,74,173,250,236,237,236,237,231,232,234,233,235,227,216,223,211,169,168,180,186,225,230,241,239,208,168,141,115,82,224,243,238,238,237,236,231,233,235,234,237,228,209,223,219,189,170,174,186,218,230,224,214,183,154,131,88,125,251,237,238,238,237,237,230,232,234,235,237,238,211,216,220,204,184,180,188,206,221,211,187,166,136,110,83,208,249,239,241,240,239,239,229,231,231,232,233,239,225,201,210,206,192,186,184,184,192,185,163,138,111,77,154,252,237,239,242,240,239,239,230,231,232,233,233,237,233,203,208,202,192,187,175,167,174,173,150,116,87,88,234,241,239,239,240,239,238,237,232,232,234,234,234,237,234,206,207,193,184,181,168,152,158,160,129,98,74,134,252,237,240,240,240,239,239,239,232,234,235,235,236,236,235,210,202,170,162,172,161,157,156,143,113,97,69,177,250,239,242,241,239,240,240,238,233,234,236,237,236,237,237,211,211,180,178,190,180,170,156,138,117,100,72,203,246,240,241,241,241,241,241,238
1,141,143,146,147,149,150,150,151,153,153,153,154,154,151,154,157,152,155,155,154,153,154,154,154,154,153,153,153,143,146,149,149,151,153,153,154,155,155,154,156,157,161,141,126,158,155,156,156,155,155,155,156,157,156,154,154,147,150,151,153,154,155,154,155,156,157,156,159,147,164,154,72,158,164,156,156,157,157,158,158,158,157,156,155,150,152,152,155,156,157,156,157,158,161,157,177,136,120,164,70,130,142,159,159,160,161,161,160,161,160,159,159,151,153,155,157,158,160,160,160,161,163,158,181,133,115,165,75,98,102,117,171,160,162,162,163,163,162,161,161,153,155,157,158,160,160,162,163,163,163,162,181,137,118,177,102,98,128,79,171,163,163,163,164,163,164,163,162,155,157,158,160,162,162,164,163,165,164,144,183,152,105,179,122,91,137,76,154,169,166,167,166,164,165,165,163,157,159,161,162,162,163,166,166,166,175,106,147,172,96,166,132,98,156,99,129,174,167,169,169,168,168,166,165,158,161,162,163,165,166,168,167,170,179,97,139,172,95,150,142,106,172,129,103,177,168,170,170,169,169,168,167,159,161,163,164,167,168,170,169,172,185,104,141,171,99,155,156,104,150,157,93,162,175,172,171,170,170,170,169,162,163,165,167,169,169,173,170,176,185,105,152,190,116,141,173,102,130,172,101,136,183,172,173,173,172,172,172,162,164,166,167,169,171,173,171,178,175,104,143,191,111,107,169,96,130,184,116,111,184,172,175,174,174,174,172,163,166,168,169,171,173,174,172,181,174,125,108,181,84,96,161,96,111,179,133,96,180,176,176,176,175,175,173,163,166,168,170,172,172,174,172,186,177,118,79,169,148,131,124,145,155,131,116,90,168,181,177,177,176,176,175,165,167,169,172,174,173,175,174,186,168,118,122,121,181,135,138,171,142,114,121,82,140,187,176,178,178,178,177,167,169,170,172,175,174,175,176,183,166,158,153,96,149,156,184,174,154,112,108,91,95,190,179,180,180,179,177,167,169,172,173,174,175,176,177,183,161,148,138,101,147,185,183,156,181,164,120,88,71,176,185,180,181,181,180,166,170,172,174,175,176,176,180,191,156,131,124,151,164,155,137,107,191,196,174,127,60,153,190,180,182,182,181,166,169,170,173,174,174,175,180,201,164,122,125,116,112,104,97,131,174,191,171,145,96,131,195,181,183,182,181,166,168,170,171,173,174,175,179,208,180,121,120,120,119,134,164,196,175,169,157,121,89,114,193,180,182,182,181,167,169,172,172,174,174,175,177,206,197,130,125,142,139,189,199,194,185,165,146,113,60,113,194,180,182,182,181,168,169,172,174,175,176,176,178,203,210,150,134,154,137,183,203,200,189,160,134,105,56,107,195,181,182,183,182,166,169,171,175,175,176,177,177,199,211,165,146,170,135,181,209,207,189,153,123,96,57,124,195,182,183,183,182,167,168,171,174,175,176,177,174,191,207,179,161,180,136,166,211,206,177,145,116,87,61,157,192,184,185,184,183,173,174,175,178,180,180,181,178,184,202,192,175,172,151,146,210,200,169,140,109,76,66,181,187,185,185,184,184,137,141,146,152,154,156,161,162,166,197,203,189,164,154,126,199,191,159,129,100,70,85,197,191,194,194,187,185,70,74,76,77,77,80,83,85,82,183,201,179,157,145,122,172,176,147,116,93,75,85,137,138,139,141,166,191,77,78,79,79,81,80,80,83,68,154,192,165,154,143,126,153,164,141,107,91,82,74,73,72,95,151,171,179
24,144,145,146,146,146,147,149,149,149,149,150,150,149,149,150,149,147,146,145,144,144,143,141,139,139,137,136,135,147,149,149,150,151,152,152,152,153,153,153,152,152,152,152,151,151,150,149,147,147,145,143,145,144,140,139,139,150,152,152,153,155,154,155,157,157,156,157,155,154,155,156,154,154,153,152,151,151,150,147,135,137,146,143,142,153,154,156,156,157,158,159,160,159,159,158,158,159,158,158,158,157,156,155,154,153,151,154,126,79,147,146,144,155,158,159,159,159,160,160,160,160,163,163,160,160,159,159,159,159,159,158,156,156,152,160,130,61,140,149,146,158,160,160,160,161,163,164,164,165,160,158,166,162,162,162,162,161,160,160,159,159,155,167,128,63,144,153,149,160,162,162,163,165,166,166,166,168,155,91,149,171,166,168,167,166,164,162,161,161,159,171,116,69,153,154,152,164,165,166,168,168,167,168,168,172,146,82,92,177,167,170,169,168,167,166,166,163,165,176,113,79,162,155,154,166,167,169,169,169,170,170,169,174,158,111,64,162,173,169,171,171,169,168,167,162,172,167,95,89,169,157,156,169,170,171,170,172,173,173,173,173,171,133,60,133,182,169,172,173,173,169,170,169,186,152,67,105,172,158,160,171,171,174,174,174,174,174,174,174,177,150,80,93,186,172,176,173,168,177,167,124,132,154,61,136,170,162,162,173,174,175,175,175,175,176,176,175,178,163,113,62,170,181,174,147,116,135,149,104,50,93,75,162,168,166,163,175,175,176,177,177,178,178,179,178,180,171,127,54,125,192,159,149,131,108,103,100,99,52,73,175,167,167,166,176,177,179,179,180,180,180,180,180,181,177,142,93,83,186,148,161,129,121,115,125,130,39,89,184,166,168,167,178,180,180,181,181,182,182,182,182,181,183,162,133,61,121,118,163,148,106,111,112,111,55,95,185,168,169,168,180,180,182,182,182,183,184,184,183,182,186,175,136,91,97,101,136,163,90,36,89,142,86,56,178,173,172,170,180,181,182,184,184,184,184,184,185,186,188,178,161,153,103,73,96,149,80,22,59,146,114,47,122,185,171,171,183,184,186,186,187,186,186,187,187,187,189,180,171,150,82,50,83,128,61,20,86,163,154,84,52,178,174,173,184,185,187,188,188,188,189,189,189,190,189,187,173,138,107,88,90,125,80,48,166,171,148,89,43,167,177,174,185,187,189,189,189,190,191,191,191,191,191,191,174,161,149,103,86,126,83,130,183,157,133,61,53,180,175,175,185,187,189,190,190,191,192,192,191,191,192,193,172,164,166,114,98,73,119,187,180,143,119,52,73,192,175,176,183,185,188,188,190,191,190,190,191,191,191,194,175,157,167,134,113,70,163,183,168,139,110,46,97,193,176,176,185,187,188,189,190,191,190,190,191,192,192,195,179,155,151,142,126,77,143,178,159,128,97,34,115,191,175,175,188,187,188,191,191,192,192,192,193,193,193,196,184,150,151,150,142,96,128,180,157,115,78,28,148,189,178,177,187,188,189,190,191,193,193,193,193,194,196,195,194,161,156,147,152,113,98,165,138,94,48,42,183,181,180,179,196,195,196,196,197,198,198,198,197,197,198,197,201,174,162,154,149,116,76,130,108,69,19,76,196,178,178,181,147,151,157,161,166,169,172,177,180,183,187,189,193,177,164,151,134,110,87,91,103,58,20,152,196,186,187,176,77,77,76,78,79,81,83,88,89,90,93,96,91,137,175,147,135,130,104,90,107,46,38,133,136,134,117,74
3,192,192,193,192,193,193,193,195,192,192,192,190,189,189,189,187,187,185,182,180,178,175,175,173,171,170,169,166,193,193,195,195,195,195,194,196,194,193,194,191,190,190,189,188,180,184,183,181,179,176,174,174,172,170,169,167,195,195,196,196,197,196,196,196,196,195,194,192,191,191,186,207,134,158,189,181,181,179,177,175,173,171,171,169,198,197,198,198,197,198,197,197,197,196,196,196,193,190,197,201,108,162,192,182,181,180,180,177,175,173,172,171,199,200,201,202,199,199,199,199,199,198,198,197,197,190,218,166,105,186,190,185,183,181,181,179,178,175,172,171,203,203,204,204,203,203,202,202,201,201,199,199,195,205,219,123,136,198,188,190,188,186,183,182,180,178,175,173,204,205,205,207,206,206,205,206,205,202,202,202,195,231,198,107,166,202,193,193,191,189,186,183,181,180,178,176,206,207,208,209,207,208,208,207,207,205,206,200,218,223,158,107,191,202,198,196,192,190,188,187,184,182,179,179,209,211,212,211,212,211,210,210,209,209,209,205,227,198,113,142,198,185,194,196,198,193,189,188,187,186,184,180,212,214,215,215,215,213,215,213,213,212,210,208,219,203,160,172,194,185,194,185,178,193,194,189,191,189,187,184,213,215,217,217,216,215,216,215,215,214,212,212,223,230,209,174,175,177,179,196,175,134,189,198,183,185,191,187,216,217,218,218,218,218,218,217,217,216,216,212,244,216,188,191,180,155,148,132,163,144,127,161,167,136,181,193,220,220,219,219,220,222,221,219,219,220,214,227,249,219,195,178,159,141,112,114,88,152,153,122,135,128,187,193,222,222,222,222,222,223,222,221,222,220,222,254,236,181,128,114,151,140,122,113,97,95,135,112,99,181,198,193,224,224,225,224,224,225,224,224,223,221,247,255,190,132,92,71,170,201,142,117,104,100,80,95,138,206,195,195,225,225,227,226,226,226,226,226,222,236,255,225,145,105,86,74,109,224,215,190,135,96,104,102,162,207,197,196,226,227,229,227,229,228,228,229,214,252,255,200,140,111,81,72,65,123,211,240,157,89,117,109,187,207,198,197,229,230,230,230,230,230,230,232,214,243,240,202,141,93,76,69,74,66,101,157,99,115,124,123,203,206,201,199,231,231,231,231,231,230,231,233,219,233,250,214,152,105,78,75,81,93,94,90,92,127,123,135,211,205,203,199,232,234,233,234,233,233,233,235,218,230,255,216,169,123,88,82,95,104,116,131,122,124,122,149,216,206,204,202,233,234,235,235,235,235,234,236,219,226,255,225,176,133,107,84,99,117,138,148,136,120,109,166,219,206,206,205,234,236,236,236,236,236,235,239,220,220,255,229,181,148,127,90,100,134,151,151,139,116,128,205,214,208,208,207,235,235,237,237,239,239,238,240,223,213,255,225,189,153,131,99,103,136,144,138,129,119,196,223,214,212,209,207,236,237,239,239,238,238,238,241,226,212,255,230,195,155,127,106,106,129,136,131,116,144,222,217,215,213,211,209,238,239,239,241,242,241,240,243,232,210,249,229,194,154,128,117,110,125,131,126,118,192,225,218,216,216,213,210,239,239,240,241,241,241,241,243,234,222,248,219,187,154,136,127,113,120,126,121,174,227,221,220,217,215,213,211,239,240,241,240,241,240,241,243,235,220,253,219,191,163,143,128,119,121,125,169,229,224,223,221,219,216,213,211,240,241,241,241,241,242,243,244,232,218,245,210,187,163,135,125,126,121,149,226,229,226,225,223,222,219,214,212
20,156,158,159,158,159,161,161,162,162,162,162,162,161,162,161,159,157,160,157,155,155,154,151,150,148,147,144,143,160,161,163,162,163,165,165,165,165,165,165,165,165,165,163,172,160,121,165,162,157,157,155,153,152,150,147,146,165,166,166,167,168,168,168,168,169,169,169,169,169,169,167,176,170,98,132,155,164,159,159,157,156,153,152,150,168,170,171,171,171,171,172,173,173,174,173,172,172,173,171,176,173,92,76,102,158,166,163,161,159,157,155,153,172,172,174,174,174,176,176,177,177,178,176,176,177,177,174,184,169,78,111,111,127,175,165,165,163,162,159,157,177,178,178,178,178,180,180,180,180,180,179,180,181,181,177,188,164,75,137,131,101,178,168,168,166,164,162,160,179,181,181,182,182,182,184,183,184,183,184,184,184,184,180,196,171,85,141,140,94,177,173,171,169,169,166,163,183,184,184,185,185,185,185,185,186,186,186,187,187,186,182,204,158,79,148,165,98,172,179,174,173,172,170,166,186,186,186,186,188,188,189,189,188,189,189,189,190,190,191,210,139,80,166,164,91,166,184,178,176,174,173,171,189,189,190,190,190,192,193,193,192,192,191,193,192,177,174,209,148,100,183,160,84,162,186,180,180,178,175,173,192,193,194,194,194,194,195,196,195,194,194,195,196,188,164,160,150,93,160,167,95,161,188,182,182,180,179,175,194,195,195,196,196,196,197,198,197,197,197,198,195,203,208,170,130,102,146,173,108,154,193,185,184,182,181,178,196,197,197,198,199,200,201,200,200,200,200,200,198,160,172,171,167,130,107,145,100,147,198,186,186,183,181,179,198,200,200,200,201,201,201,201,202,202,202,201,205,172,89,154,185,121,70,92,83,135,202,188,188,185,183,181,200,201,200,202,202,202,202,202,203,203,203,203,208,177,62,127,183,141,90,73,63,121,204,191,189,187,185,184,201,202,202,203,204,204,203,204,205,204,204,204,200,172,112,99,140,163,120,108,68,101,206,192,192,191,188,186,203,204,205,206,206,206,207,207,207,206,207,198,198,174,143,96,72,135,142,118,74,78,203,196,194,193,190,189,206,206,207,207,208,208,207,208,207,208,202,198,177,176,170,134,91,101,133,132,90,66,192,201,195,194,193,191,207,208,209,209,209,209,209,209,210,209,199,187,138,120,160,151,99,83,114,159,126,63,151,210,196,195,194,192,209,209,209,210,211,210,211,211,213,211,198,191,155,81,91,144,84,64,98,161,157,89,86,205,199,198,197,194,210,211,212,212,213,212,212,213,213,213,200,183,157,121,70,104,89,67,137,188,171,112,63,190,204,200,198,195,212,213,214,214,214,215,214,215,213,216,197,191,188,127,84,104,119,114,194,190,159,93,75,202,203,200,199,195,213,214,215,215,215,215,215,216,215,219,196,192,191,137,106,106,179,206,205,165,143,68,107,216,200,201,200,198,213,214,215,215,215,216,216,216,217,220,197,185,179,150,111,104,191,207,184,146,123,63,146,217,201,201,201,199,213,213,214,215,215,215,215,215,216,220,199,174,170,150,116,104,179,189,166,131,100,62,181,211,201,202,200,197,214,214,215,216,216,216,216,217,218,219,210,176,170,151,130,114,176,188,155,115,73,82,211,203,200,201,207,202,214,214,216,216,217,217,217,218,219,219,221,186,168,155,138,107,159,173,133,94,50,150,218,208,210,199,163,110,215,215,217,217,218,219,218,218,220,220,218,194,175,155,135,109,127,136,96,62,71,209,207,169,139,96,52,42
18,140,141,142,143,144,145,145,145,145,146,146,146,145,145,145,144,143,143,144,143,142,141,141,140,140,140,138,137,141,143,144,144,144,145,146,147,147,147,147,147,146,145,146,146,144,145,145,144,144,142,142,141,141,140,139,138,142,145,146,146,146,146,148,148,147,148,148,147,147,147,147,147,147,146,144,147,146,143,142,142,141,141,140,140,143,145,147,148,147,147,148,149,148,150,150,148,149,148,149,148,148,145,150,134,137,146,145,144,143,142,142,141,145,147,148,147,148,149,150,151,151,151,151,150,151,152,151,148,148,150,171,108,104,153,145,145,144,143,142,142,147,148,149,149,150,151,151,152,151,152,152,151,150,148,150,153,142,155,178,113,73,151,146,146,145,146,144,144,148,149,150,151,152,153,153,153,152,153,152,155,161,129,104,127,111,125,179,141,70,108,157,145,147,148,146,145,149,151,151,152,153,153,154,155,155,155,154,154,163,154,117,91,98,134,178,147,94,62,133,153,146,148,147,146,150,151,151,153,154,155,156,157,156,155,159,135,98,125,140,103,75,100,153,151,114,95,72,136,153,149,148,147,151,152,153,154,155,157,157,156,159,172,161,138,106,68,129,114,77,59,82,130,126,104,71,84,160,147,150,147,151,153,154,155,157,157,158,155,180,177,176,142,118,76,86,108,69,49,48,126,142,107,80,78,159,149,150,150,152,154,156,157,157,159,155,169,169,160,177,144,122,84,56,74,64,45,45,136,149,124,79,81,160,150,151,151,152,155,157,158,159,158,161,190,171,146,156,137,119,80,53,62,54,47,42,114,146,132,82,73,160,153,153,151,154,156,158,159,159,160,177,170,147,147,149,103,86,68,58,84,42,41,52,122,147,133,85,72,161,152,154,153,155,157,159,160,157,168,189,167,134,119,127,77,73,58,78,80,65,105,107,120,139,118,80,69,161,154,154,154,157,158,159,160,159,170,192,175,156,113,92,106,76,25,85,119,144,145,141,106,106,104,83,61,154,157,155,154,157,159,160,162,159,180,190,180,159,122,96,103,61,44,157,168,159,138,125,111,82,97,86,58,149,160,156,157,158,159,161,162,162,186,189,173,137,120,109,96,68,138,179,164,155,134,108,111,84,82,73,66,161,157,157,157,159,160,162,161,167,187,188,165,138,131,102,75,122,173,168,159,144,128,111,102,89,76,54,111,167,157,158,157,159,161,163,162,171,189,186,162,138,137,100,108,154,176,163,151,142,128,105,97,85,65,58,157,161,159,158,158,159,160,162,163,172,187,181,163,149,147,100,135,148,167,157,143,138,120,95,89,79,48,98,169,158,160,159,158,160,162,164,163,172,183,178,165,158,132,106,113,147,148,147,137,128,108,90,80,67,50,149,165,160,160,159,159,160,163,164,162,172,184,177,172,156,120,92,111,134,139,135,131,117,99,82,73,44,101,171,160,162,161,160,160,162,163,164,164,175,174,170,166,135,98,92,121,127,136,130,120,106,86,71,52,63,162,164,164,164,163,161,161,161,160,164,164,179,172,167,156,135,118,116,120,130,132,125,108,95,79,59,46,145,169,163,165,164,163,161,161,166,170,165,166,186,181,180,168,158,143,126,109,126,130,114,93,83,68,41,123,173,163,165,165,164,163,162,162,140,127,161,177,187,180,179,167,149,133,122,102,118,121,100,85,75,47,111,174,165,166,165,165,165,163,163,162,88,57,67,146,181,178,175,162,143,120,116,102,114,109,90,80,53,93,177,167,167,167,167,166,165,165,164,164
15,82,81,82,84,85,86,89,100,112,121,130,139,146,150,150,154,159,163,168,172,176,179,180,182,184,187,188,191,81,81,83,84,84,85,90,101,111,122,131,139,146,150,151,155,159,164,169,173,176,180,181,184,187,188,190,193,81,82,82,84,85,85,90,102,113,124,132,141,148,151,150,154,159,165,170,173,178,180,182,185,188,190,193,194,81,81,82,84,87,86,91,102,114,124,133,141,148,152,152,154,161,168,171,174,178,181,184,187,189,192,193,195,81,81,84,82,82,85,91,104,116,124,134,143,148,152,153,156,161,167,171,175,179,181,184,187,190,193,193,195,82,83,78,95,112,93,94,104,117,127,135,144,151,153,154,157,162,168,173,176,180,183,185,188,191,193,194,196,82,81,80,180,152,128,125,119,115,119,133,141,139,141,147,159,167,171,175,177,179,183,186,189,192,194,194,197,82,80,88,168,134,119,119,116,104,121,121,123,116,117,119,126,138,155,170,180,186,186,187,188,192,193,195,198,82,84,80,105,105,89,95,84,88,113,103,106,101,122,124,118,118,122,131,138,146,169,193,190,192,194,197,199,83,81,83,82,83,83,86,80,85,90,86,83,89,122,119,116,120,123,132,119,103,97,141,201,190,195,198,200,81,82,82,85,85,86,93,106,115,116,119,115,106,107,103,100,94,126,142,130,115,112,79,146,205,192,199,201,81,82,82,83,84,85,92,107,117,131,140,148,153,133,98,93,129,146,145,137,111,129,107,73,168,205,197,201,82,82,83,83,85,85,94,107,118,125,142,161,149,131,110,141,181,131,147,118,147,137,122,99,80,191,204,200,81,81,82,82,85,83,94,109,113,147,187,154,118,111,97,108,165,109,103,155,162,129,156,126,76,103,212,201,80,80,80,80,83,81,92,108,107,183,187,114,103,113,111,88,110,71,103,198,120,129,163,140,103,58,150,216,80,80,79,80,81,82,92,109,107,169,156,100,112,129,135,127,102,74,117,151,86,125,163,148,112,76,73,167,79,78,77,79,81,81,94,108,108,163,145,81,122,136,147,134,98,94,102,104,112,131,138,129,105,78,69,77,78,77,78,80,81,81,92,108,107,165,196,116,112,138,145,124,88,90,101,105,118,123,109,87,84,75,71,73,76,77,77,79,79,80,91,108,109,165,164,189,145,105,95,88,84,97,99,102,110,124,108,75,73,73,73,78,76,77,76,78,78,80,90,106,110,204,165,169,173,129,89,45,53,84,103,108,118,129,103,76,74,74,76,78,73,74,74,76,75,78,90,103,113,148,161,177,163,154,124,69,24,34,63,117,114,110,87,76,78,80,78,76,76,74,73,73,73,76,88,101,114,121,133,147,138,142,123,113,53,42,59,115,129,107,91,89,91,90,83,78,130,126,122,118,120,121,122,124,127,131,135,136,119,113,140,169,92,44,75,75,123,135,121,107,97,90,81,78,109,108,108,110,113,111,110,109,101,101,103,108,112,107,117,184,97,84,91,75,88,101,102,95,86,80,76,74,113,112,112,113,112,112,113,115,109,108,113,113,114,115,108,123,103,117,117,112,110,96,82,79,76,72,70,70,117,115,114,115,116,115,114,117,117,116,119,117,117,119,120,114,119,116,119,120,136,129,105,87,80,73,69,71,119,119,116,116,118,117,117,118,118,118,118,119,117,117,117,118,119,119,117,116,131,138,127,98,92,102,92,75,118,118,116,115,118,119,119,119,119,120,120,119,118,119,117,118,118,119,118,120,108,138,174,119,128,134,117,98
6,189,189,189,189,190,189,189,189,188,188,189,188,187,186,184,183,182,181,180,179,177,175,174,173,172,170,168,165,193,193,193,194,193,193,193,192,192,192,192,190,189,187,186,185,184,183,182,181,180,178,176,175,174,172,171,168,195,196,196,195,195,196,196,195,194,194,195,194,192,191,189,188,187,186,185,184,183,180,179,178,177,175,173,171,197,198,197,197,197,197,197,197,197,196,197,196,195,195,193,191,190,189,187,186,184,184,182,180,180,178,175,173,200,200,200,200,200,201,201,200,199,199,199,200,197,196,195,194,193,191,190,188,187,186,185,183,181,181,178,177,201,201,202,202,201,202,202,202,201,202,201,200,200,199,197,196,195,194,193,191,189,188,188,186,184,182,180,179,203,203,204,204,203,204,204,204,204,204,203,202,201,201,200,198,197,196,196,194,192,190,189,188,187,184,182,180,204,205,205,206,207,207,207,206,206,206,205,205,205,203,201,201,199,199,199,198,196,194,193,192,188,185,185,183,206,206,207,207,208,208,208,208,209,209,208,208,207,207,206,204,201,196,189,182,177,177,173,162,164,175,169,183,208,207,207,207,208,209,210,209,211,210,205,198,192,190,180,170,162,159,140,135,143,150,141,134,167,196,161,169,208,209,209,210,209,209,210,211,199,173,153,151,148,153,154,151,146,141,133,128,142,129,130,127,128,143,134,174,210,211,210,211,210,212,207,190,174,159,138,139,145,149,152,147,141,116,112,102,98,100,115,118,126,151,175,190,212,212,213,213,214,198,178,173,170,152,122,102,111,111,107,107,108,100,110,138,167,183,191,195,199,198,195,192,212,213,215,215,192,168,169,169,164,151,131,94,69,49,141,192,200,202,204,209,208,205,203,201,198,197,195,194,214,215,215,192,166,168,172,171,173,172,156,108,65,57,84,122,158,202,210,208,207,204,203,202,201,199,197,196,216,212,190,175,174,178,180,179,178,175,132,78,59,61,60,56,52,91,207,210,208,207,205,203,202,200,198,196,200,176,172,181,181,180,182,169,167,159,101,63,54,57,64,66,64,51,159,216,209,208,207,204,202,201,199,196,172,172,182,185,182,180,172,160,165,160,134,105,61,43,53,58,61,44,111,217,210,208,207,205,203,202,200,197,175,177,181,185,185,177,162,162,168,168,169,133,75,54,54,48,55,114,191,212,209,208,208,206,204,202,201,199,177,179,185,188,179,165,158,161,158,159,153,107,62,54,56,55,64,211,217,211,211,209,208,207,205,203,201,200,179,181,182,176,166,160,159,157,149,142,133,96,53,44,53,52,77,210,214,211,211,209,208,206,204,203,202,201,179,175,165,160,164,161,154,148,136,134,142,127,73,46,48,62,187,216,212,209,209,208,207,205,203,201,200,199,167,157,153,158,154,142,132,128,132,143,156,141,78,56,56,64,210,215,212,209,208,208,208,205,206,206,203,194,160,157,157,148,136,127,129,132,136,138,139,104,63,52,46,104,216,215,213,212,213,211,211,212,189,160,126,93,153,151,142,132,131,130,128,116,107,100,87,58,70,104,139,210,217,219,218,211,194,195,192,166,92,64,49,52,137,125,104,105,119,122,113,92,75,64,72,126,204,222,225,221,216,166,139,107,73,79,70,61,50,58,47,40,94,75,57,68,88,89,80,68,73,111,158,188,194,194,196,195,145,78,71,52,35,48,38,42,40,39,48,28,72,50,61,91,98,95,92,93,101,106,108,106,103,104,102,88,68,61,53,55,28,39,36,34,35,33,36,29
4,180,180,180,180,180,180,179,179,177,175,175,173,174,176,173,172,172,168,167,167,165,165,165,165,163,160,157,157,181,181,181,181,181,181,179,180,180,177,177,179,179,177,173,170,172,174,167,167,167,166,166,165,163,162,158,158,183,183,183,182,182,181,181,182,180,179,168,153,158,172,175,146,115,137,177,171,172,172,165,165,164,162,160,159,185,185,184,183,183,182,183,183,182,183,173,165,151,129,130,144,134,93,138,158,133,147,170,165,166,164,162,160,185,185,184,185,185,185,183,184,176,175,171,164,159,152,108,85,125,128,93,87,95,72,136,173,164,164,164,162,187,186,186,186,185,186,184,180,167,167,154,122,79,132,116,60,88,127,93,58,87,77,83,175,164,166,165,163,188,187,187,188,187,186,186,181,181,169,158,131,74,93,118,67,70,106,76,57,101,97,65,156,170,166,165,164,187,187,187,187,186,186,188,181,137,106,134,151,92,87,125,115,98,97,64,68,109,99,64,152,173,165,165,164,189,189,188,188,187,187,186,189,151,90,53,159,133,103,125,145,146,102,99,99,98,120,80,149,173,166,164,164,189,189,190,189,189,189,189,180,133,82,32,93,134,87,90,108,136,109,102,105,99,113,75,112,180,167,166,165,190,189,190,192,189,188,190,169,129,111,99,66,67,77,66,60,83,114,105,100,96,93,82,78,175,169,167,166,191,191,192,193,190,189,190,172,158,136,100,70,56,74,70,75,66,80,95,89,86,105,102,63,153,174,168,167,193,192,193,193,191,190,191,179,160,125,93,66,64,71,75,95,88,64,50,94,136,131,111,67,119,179,167,166,193,193,195,194,193,191,191,181,145,110,81,61,63,74,95,99,98,96,108,117,133,136,122,89,87,177,167,165,195,195,195,194,194,191,191,179,151,125,92,68,74,83,96,111,109,128,153,153,129,154,144,105,69,167,171,167,196,195,196,195,195,193,190,185,162,132,99,72,71,83,109,124,130,139,153,162,154,136,130,100,56,156,174,167,194,195,195,196,196,194,190,180,165,140,110,75,70,89,112,127,144,152,161,156,143,131,105,80,59,168,173,168,194,195,195,196,197,195,187,175,172,152,122,92,75,76,109,139,151,165,167,154,133,117,97,52,99,183,169,169,195,195,195,196,197,196,186,169,172,157,128,105,86,74,111,152,162,172,164,147,124,109,82,49,158,177,171,170,195,195,195,195,196,196,185,165,163,155,132,110,92,82,112,161,163,164,153,134,114,99,60,94,186,171,173,172,195,196,196,197,197,198,187,163,159,158,143,117,100,93,121,162,157,151,140,121,104,86,51,153,181,174,172,171,196,196,198,198,198,199,191,161,160,162,147,122,111,97,128,156,152,146,128,105,93,59,83,186,176,176,174,172,196,197,198,197,197,199,197,171,163,166,153,130,114,94,125,150,145,137,116,92,78,47,153,185,178,178,175,173,197,199,198,197,199,199,200,176,172,170,151,136,118,96,114,142,133,120,97,83,45,103,191,178,178,177,175,173,197,198,197,199,200,199,197,183,178,165,151,140,124,103,106,123,115,99,84,57,64,181,182,179,178,176,174,174,199,199,199,199,199,200,197,185,179,162,148,134,121,110,101,107,103,86,69,40,156,189,180,179,179,178,176,174,200,200,199,199,198,200,192,184,174,163,153,145,134,126,107,99,97,81,46,101,194,181,182,180,178,177,176,174,200,200,200,200,199,199,183,183,176,165,154,152,137,129,111,97,90,68,50,165,190,184,182,180,179,177,176,174
1,165,167,170,171,173,174,174,175,177,177,177,178,178,176,178,180,177,179,179,178,177,178,178,178,178,178,177,177,167,170,173,174,175,177,177,178,179,179,178,180,181,184,166,150,181,180,180,180,179,179,180,180,181,180,178,178,171,174,175,177,178,179,178,179,180,181,181,182,173,187,177,99,180,185,181,181,181,181,182,182,183,182,181,180,174,175,176,179,180,181,181,181,183,185,183,198,164,147,181,95,154,164,183,184,185,185,185,185,185,184,183,183,175,177,179,181,182,184,184,184,185,187,184,202,159,140,183,104,119,127,143,191,186,187,186,187,187,187,185,185,177,179,181,183,184,185,187,187,187,187,187,203,163,141,196,130,117,149,106,192,189,188,188,189,188,188,187,187,179,181,183,185,186,187,188,188,189,188,169,205,176,130,200,147,113,158,102,178,192,191,191,190,189,189,189,188,181,183,185,187,187,188,191,191,192,195,135,173,190,123,190,155,121,177,126,153,195,193,194,193,193,192,191,190,182,185,186,188,190,191,192,192,195,199,126,164,190,123,176,163,130,194,153,128,198,195,195,195,194,194,193,192,184,186,188,189,192,193,195,194,197,205,131,166,189,128,180,174,131,176,176,119,186,198,197,196,195,194,195,193,186,188,190,191,193,194,197,196,200,205,133,177,207,144,165,189,131,155,189,130,162,204,198,197,198,197,197,196,186,188,190,192,194,196,198,197,202,197,134,166,209,140,131,186,125,153,200,146,136,205,199,200,199,199,198,197,188,190,193,194,195,197,198,198,205,197,150,130,201,113,120,178,126,137,197,160,119,203,202,201,201,200,200,198,188,191,193,195,196,197,199,198,210,199,144,105,190,170,155,149,168,176,155,141,112,192,205,202,202,201,201,200,189,192,194,196,199,198,200,199,211,191,144,145,145,199,162,165,191,166,138,140,106,164,208,203,203,203,203,201,192,193,195,197,199,199,200,201,208,191,181,173,122,175,180,209,197,180,137,129,116,119,212,206,205,205,204,202,192,194,197,198,199,200,201,203,208,186,171,161,126,172,207,207,180,204,187,145,111,95,200,209,205,206,206,205,191,194,196,199,199,200,201,205,216,181,155,148,173,185,177,161,134,214,220,196,148,88,177,212,207,207,207,206,191,193,195,198,199,199,200,205,225,189,146,148,139,136,130,123,156,199,215,197,165,121,156,216,208,208,207,206,191,193,194,196,198,199,200,205,232,204,146,143,144,142,159,188,217,202,195,182,143,115,137,215,207,207,207,206,192,194,196,197,199,199,200,203,231,221,157,147,165,163,209,224,221,210,190,169,133,88,135,215,207,207,207,206,193,194,197,199,200,200,201,203,229,233,176,157,176,164,208,229,226,214,185,157,125,82,130,216,208,207,208,207,191,193,196,199,200,201,202,202,225,234,192,170,192,162,205,234,233,213,177,146,116,82,148,216,209,208,208,208,193,194,196,200,201,202,202,200,217,231,206,186,201,164,192,234,232,202,170,139,108,85,181,214,210,210,209,208,196,197,199,201,203,204,204,202,209,226,217,201,195,177,171,233,226,194,163,131,99,89,205,213,212,212,209,209,160,164,169,175,177,179,183,186,189,222,228,214,189,178,151,223,215,184,152,121,94,107,216,215,216,216,211,211,94,97,100,100,101,104,107,108,108,207,224,204,182,169,147,197,199,171,139,115,98,108,159,163,164,168,190,215,97,99,100,101,102,101,102,103,94,179,214,193,178,166,150,177,187,165,131,113,103,97,97,97,121,176,196,204
24,136,140,146,149,153,156,159,162,164,166,169,172,173,174,175,177,177,178,178,178,179,180,180,180,180,180,179,179,137,142,147,151,154,157,160,163,166,168,171,173,175,177,178,179,178,179,180,180,181,181,182,183,182,182,181,181,139,144,148,155,156,159,161,164,167,170,173,174,176,178,179,179,180,182,183,182,184,183,185,185,184,183,184,184,140,146,152,144,158,161,163,166,168,172,174,176,178,180,181,182,183,184,185,185,185,185,185,186,185,185,186,186,140,149,156,107,137,166,163,168,171,173,175,178,179,181,184,184,184,185,185,186,186,185,186,186,186,187,187,186,142,150,150,102,101,170,165,170,172,174,178,179,179,182,185,185,185,186,187,189,189,186,188,189,189,189,189,189,144,150,156,118,82,157,169,169,174,176,178,182,185,186,186,189,189,186,189,189,190,189,189,190,190,190,190,189,144,150,159,132,80,133,175,171,174,177,182,180,169,180,191,170,179,192,188,190,192,190,189,190,191,191,190,192,147,152,159,147,100,100,175,171,141,130,171,178,142,112,151,158,121,169,196,190,191,191,191,191,191,184,168,136,147,153,157,165,124,81,145,166,147,135,138,187,160,109,132,170,118,110,199,191,192,192,193,193,185,168,130,111,149,153,158,166,140,105,109,155,181,164,132,176,171,125,149,171,117,92,186,197,194,194,193,188,174,137,113,186,149,154,159,162,161,134,108,100,180,174,130,158,177,125,144,172,119,79,168,202,194,196,189,185,159,103,158,204,150,155,160,163,170,141,118,118,143,184,144,138,181,131,131,178,134,75,156,204,196,186,187,181,129,99,195,197,151,157,161,166,170,155,164,151,126,162,148,105,164,127,110,176,149,78,124,206,175,172,184,155,96,161,203,196,152,158,162,166,167,177,176,128,102,121,140,84,135,126,100,205,176,73,74,133,150,170,159,105,132,207,197,200,151,157,162,166,168,175,165,134,114,112,130,107,125,136,99,130,115,77,115,142,152,148,118,104,195,201,200,200,152,158,161,165,168,171,186,169,131,118,115,127,104,156,123,104,156,166,171,158,130,120,89,155,207,197,200,199,152,158,162,164,168,171,186,179,155,137,118,109,113,149,168,195,192,180,167,149,118,98,107,198,198,198,200,199,152,157,162,165,169,172,185,187,176,150,121,102,136,174,196,189,182,169,155,135,109,92,174,203,198,201,201,201,152,157,162,165,171,172,185,193,185,150,121,118,152,183,193,187,176,158,138,123,91,143,206,198,201,201,202,202,152,157,162,166,170,172,179,188,191,157,141,146,148,182,190,186,169,151,130,106,100,196,200,199,201,202,202,202,148,155,160,164,169,173,176,183,187,165,147,154,134,167,180,175,160,147,121,92,160,211,201,203,202,203,204,203,110,113,114,116,119,124,124,155,183,163,149,147,119,141,163,150,142,128,104,110,180,181,185,187,189,192,197,198,102,102,103,105,104,105,101,115,185,168,142,133,110,134,158,141,123,109,97,106,110,111,114,116,117,120,121,120,106,107,110,110,111,111,113,108,174,160,132,123,119,137,155,134,112,95,96,113,113,113,113,115,110,108,115,128,105,105,107,107,107,109,110,107,177,157,141,137,136,138,144,124,100,88,102,115,115,115,116,118,134,168,176,164,106,107,109,109,109,110,109,112,189,171,159,155,142,130,137,114,95,87,108,116,115,116,111,134,191,184,198,174,107,108,109,109,109,110,109,116,183,171,167,159,130,122,130,105,95,85,108,116,115,115,115,180,209,178,166,196
2,39,48,60,80,89,96,103,107,109,113,117,120,123,127,129,131,133,134,134,137,137,137,138,139,138,139,139,138,41,49,63,82,91,98,104,109,111,114,117,120,125,129,130,132,135,135,135,138,139,140,141,140,140,141,141,141,42,51,66,83,92,99,107,110,112,117,116,123,123,114,127,131,132,136,139,143,141,141,142,143,142,143,142,142,43,52,69,86,95,101,108,111,112,117,124,160,147,126,123,116,118,133,127,127,142,144,144,145,144,144,144,144,46,54,73,87,96,102,107,113,119,108,139,160,155,165,163,138,109,96,110,89,91,143,148,144,145,144,145,145,47,55,75,88,97,104,103,151,157,144,146,136,120,117,133,157,133,82,54,91,124,106,136,149,146,146,146,147,46,55,76,88,99,99,127,178,150,155,164,162,148,110,71,78,133,113,63,61,111,62,106,155,145,148,148,148,48,58,78,90,100,100,160,133,111,121,130,121,133,143,106,100,88,115,124,101,53,82,140,148,147,149,149,149,50,60,79,92,96,114,147,142,143,134,114,99,127,122,129,135,92,54,109,104,55,139,152,147,148,150,151,150,51,60,83,92,103,156,156,159,149,142,136,130,135,79,53,79,57,76,81,68,94,150,148,149,148,151,152,150,52,63,85,88,150,162,132,119,99,74,81,83,68,52,35,45,120,150,144,138,152,149,150,152,151,151,152,151,51,67,81,107,177,126,82,59,37,32,34,35,44,42,34,53,152,146,150,153,151,154,155,148,149,156,152,152,52,69,77,149,154,98,64,33,23,35,33,31,41,40,29,45,148,148,148,150,157,133,100,89,85,119,156,152,55,64,109,180,114,71,45,33,31,31,30,37,36,30,25,30,143,151,151,157,112,73,84,93,94,66,142,157,58,61,151,163,95,67,52,43,29,27,33,35,31,30,36,19,115,160,157,119,74,100,110,109,87,70,149,158,57,65,157,141,89,66,52,35,23,27,32,36,36,37,37,31,53,158,149,74,101,113,107,85,88,140,160,156,56,71,158,134,90,61,38,26,25,26,33,42,43,43,47,53,42,55,99,84,106,104,70,101,160,161,157,158,57,75,161,131,85,52,34,31,25,29,40,45,51,56,64,71,70,30,70,103,94,66,59,156,162,159,160,159,56,79,162,130,95,64,44,33,25,31,42,55,66,72,79,80,83,56,85,98,79,45,103,170,158,161,161,160,56,85,158,122,96,66,50,41,28,30,43,66,81,83,88,92,94,70,78,97,72,54,147,166,162,163,162,162,59,85,152,119,96,71,58,50,35,32,49,79,89,94,98,103,97,80,66,97,60,64,167,163,164,163,164,164,61,83,145,118,96,80,67,54,36,32,55,86,95,99,100,103,93,75,66,62,61,132,170,164,167,167,166,165,62,81,136,115,98,85,68,53,40,34,58,84,90,94,93,92,83,68,51,90,154,171,166,168,168,168,168,167,65,76,129,118,98,83,65,51,42,43,65,78,81,80,82,82,72,47,96,174,167,164,168,167,167,168,168,167,65,74,127,124,99,81,62,55,50,50,72,74,75,75,76,68,49,84,161,162,161,163,166,167,167,168,168,167,64,76,140,124,96,79,69,64,57,52,69,67,67,64,50,63,110,162,163,163,164,166,167,167,168,169,166,165,59,119,140,131,101,82,76,67,59,47,48,50,48,53,102,146,165,161,162,164,165,166,167,167,169,165,168,175,82,153,99,125,107,80,67,59,49,42,41,41,30,64,163,157,157,161,162,164,165,166,167,168,167,170,169,173
8,200,200,200,200,201,199,204,174,147,203,199,200,200,199,198,196,196,195,194,193,192,190,189,189,187,186,185,183,201,201,201,201,201,201,199,152,107,201,201,201,201,202,201,199,199,197,196,195,194,193,192,191,189,188,187,185,203,202,202,203,203,204,190,127,118,212,203,203,203,202,202,202,200,200,199,198,197,195,194,192,191,190,188,188,206,204,205,206,205,201,178,100,154,216,203,205,206,206,205,203,201,202,202,200,198,198,196,195,194,192,192,190,206,206,206,206,207,202,159,87,194,210,205,205,205,206,206,204,205,205,202,201,200,199,199,197,196,194,194,191,207,207,207,208,208,202,155,95,204,210,208,211,213,208,207,205,204,206,204,203,202,201,200,200,199,196,195,193,209,208,208,208,209,200,144,101,211,211,209,187,174,213,211,209,211,206,206,204,200,204,201,201,201,198,197,195,210,210,210,211,211,194,136,94,209,213,198,167,120,150,174,138,181,215,206,208,162,186,207,202,202,200,199,197,212,212,212,212,212,197,171,107,188,214,194,185,153,97,131,126,107,179,147,163,168,135,217,203,203,202,200,199,212,212,213,213,214,200,189,129,166,212,193,200,164,111,107,132,112,163,136,108,171,134,162,218,204,203,201,200,213,213,214,213,214,206,183,152,155,182,188,204,170,116,94,111,142,168,126,93,154,164,107,165,210,204,202,201,214,216,215,214,215,209,193,184,165,164,148,188,172,126,88,88,151,156,112,79,124,180,145,100,167,214,202,201,216,217,216,216,217,210,206,179,153,145,143,157,180,129,80,83,156,143,105,64,121,192,154,88,160,217,203,202,217,218,218,217,218,211,193,154,128,113,113,128,194,161,101,89,157,129,85,49,161,194,129,91,205,208,205,204,218,219,219,218,219,208,196,172,144,108,96,81,179,206,139,93,158,119,63,89,172,173,95,146,220,205,207,206,219,219,218,219,219,203,198,185,146,101,97,92,169,195,140,100,135,124,135,142,176,133,88,202,213,209,207,206,219,219,219,220,219,198,203,186,143,112,94,109,196,154,89,114,142,153,159,125,142,95,115,224,208,211,208,206,220,220,221,221,219,202,204,179,153,119,102,122,177,167,165,187,180,159,149,106,103,67,174,221,211,211,209,207,220,220,221,221,218,203,201,186,156,115,111,159,201,202,212,199,174,155,133,95,62,133,222,212,213,211,211,209,220,219,220,221,218,196,201,193,155,119,132,190,207,207,207,187,164,143,117,64,120,224,216,215,214,213,212,210,219,219,221,221,219,197,194,189,163,128,149,197,203,215,201,174,152,131,78,104,221,217,214,214,213,212,210,208,220,221,221,222,222,203,195,188,165,129,155,192,188,194,178,157,138,92,90,212,218,214,213,213,213,212,210,207,222,221,221,222,221,203,198,191,162,138,155,188,177,173,148,131,95,77,201,223,214,216,214,214,213,212,211,207,221,221,221,222,219,204,194,181,166,154,153,183,170,155,133,92,68,188,228,217,220,218,215,213,211,211,210,211,220,220,220,222,214,201,191,185,182,163,153,173,158,135,103,69,182,228,218,220,219,217,214,214,215,217,221,198,225,227,228,230,206,198,194,194,180,163,163,171,144,108,67,167,237,219,223,221,220,224,225,217,203,188,150,102,156,161,166,168,181,205,203,196,178,164,165,156,124,83,94,209,207,210,210,212,212,190,150,118,91,78,62,63,112,113,115,108,170,212,201,186,171,166,149,137,112,75,91,120,124,128,128,129,115,86,63,62,58,57,63,57
4,127,131,134,138,141,146,151,155,157,158,164,165,166,169,173,173,172,174,174,176,178,178,177,177,177,177,176,176,128,133,136,139,143,148,154,157,159,161,164,166,170,170,173,177,179,175,178,179,178,180,180,179,181,180,178,178,130,136,136,140,145,151,155,157,162,164,167,175,168,182,166,124,155,186,174,178,185,181,182,183,183,182,180,181,132,137,138,143,147,152,156,160,162,168,157,150,175,213,183,125,96,165,153,108,161,190,182,184,185,183,182,183,134,138,140,145,150,155,159,158,176,208,167,142,143,210,188,161,120,102,157,100,82,180,188,187,188,187,186,186,136,139,140,145,151,156,163,153,201,244,203,180,119,167,207,162,137,75,142,127,78,134,199,185,188,189,187,188,137,140,141,146,153,157,159,157,190,221,237,204,149,120,214,175,137,68,134,135,83,124,202,188,190,191,190,189,138,141,145,149,155,155,175,185,170,167,187,215,152,82,160,183,117,63,125,134,74,121,202,188,190,190,191,190,139,141,145,150,157,150,209,231,208,191,146,122,118,66,92,134,85,62,103,111,65,135,202,189,193,192,191,191,139,141,146,151,158,152,216,212,207,199,142,70,72,68,53,97,65,32,66,63,53,160,200,192,196,194,192,193,140,142,146,151,159,157,205,138,132,154,106,62,52,84,36,80,88,108,140,75,43,182,198,192,195,194,194,194,142,144,146,153,159,161,197,116,56,108,116,68,50,75,77,103,161,201,178,108,62,142,205,198,194,198,196,195,143,146,147,154,161,161,197,141,106,86,125,86,85,134,146,159,188,197,147,101,90,74,120,190,203,197,198,197,144,146,148,155,162,159,196,162,132,90,82,63,88,167,135,152,163,148,110,95,99,95,78,86,161,205,197,199,144,149,151,156,163,160,192,179,120,80,64,51,42,102,103,107,102,95,81,91,97,98,97,82,71,188,203,198,146,148,152,158,165,160,190,191,134,108,87,71,49,38,66,88,94,83,66,75,95,107,97,92,76,167,207,197,147,148,152,158,165,162,186,207,168,116,93,76,63,55,82,136,143,138,129,105,100,123,99,88,93,187,205,199,146,150,153,159,165,165,183,205,168,129,120,93,77,66,110,175,192,193,183,153,126,116,99,86,131,206,202,202,146,150,153,160,165,166,180,209,171,158,141,101,84,76,120,197,205,197,178,146,121,98,90,93,180,208,202,204,148,149,154,161,165,168,177,203,175,170,141,95,87,85,120,199,191,179,165,139,111,95,86,118,208,204,205,204,150,150,155,161,165,171,174,197,177,160,131,90,94,93,122,183,170,162,154,130,102,96,91,158,215,205,205,206,150,149,155,161,167,173,174,194,179,156,124,93,105,103,139,172,159,156,140,114,95,96,105,193,209,205,207,208,148,151,156,163,168,172,176,187,186,154,119,112,131,114,141,159,151,143,116,98,94,93,145,212,206,208,209,207,150,150,156,163,168,172,177,183,183,153,131,136,136,118,116,134,128,117,97,91,92,108,194,210,209,209,209,207,150,151,157,163,169,173,179,181,187,165,141,136,124,107,92,100,99,93,90,99,92,149,216,210,211,211,210,208,149,151,157,163,168,173,179,181,188,184,140,117,106,94,90,92,92,92,94,101,79,160,219,209,211,210,209,210,151,153,160,164,170,175,180,183,184,189,143,99,86,85,87,97,95,94,95,96,67,136,222,208,210,212,212,212,151,154,159,164,169,174,179,185,184,183,159,110,98,101,102,104,99,91,93,90,72,115,218,208,209,212,213,213
24,138,141,142,142,143,144,145,145,145,146,146,147,147,147,147,146,147,147,146,146,145,144,143,142,81,6,0,0,142,143,144,145,146,147,148,148,148,148,149,150,149,149,149,149,149,149,149,149,148,147,146,147,74,0,1,2,144,145,147,148,149,150,150,151,151,151,152,152,152,152,152,151,151,151,151,152,150,150,147,153,100,3,10,18,145,147,149,149,151,151,152,153,153,154,154,155,154,155,154,155,156,155,155,154,153,151,149,151,143,25,9,11,147,149,150,152,152,153,155,155,156,156,156,156,156,157,157,157,157,156,156,155,155,155,153,149,157,80,2,0,149,151,152,153,155,155,157,157,157,157,157,157,158,158,158,158,159,159,159,158,157,157,156,154,158,130,9,0,151,153,154,155,155,157,158,158,158,159,159,158,159,160,160,160,161,162,160,160,160,157,158,158,154,161,33,0,151,154,156,155,161,160,158,159,161,162,161,161,162,162,162,162,162,163,162,162,163,160,160,159,157,164,102,81,153,155,156,160,133,156,162,162,162,162,162,162,163,163,163,163,163,164,163,163,163,162,162,161,158,165,108,127,155,156,157,163,102,113,171,160,163,163,163,163,163,164,165,164,165,165,165,163,164,164,163,162,161,165,118,151,156,157,159,160,117,68,160,163,164,164,164,164,165,165,165,165,166,166,167,169,165,165,164,164,162,162,151,127,157,158,161,163,142,65,112,175,163,165,165,165,166,169,167,167,170,174,153,146,170,165,165,165,165,164,169,123,157,159,162,163,154,111,66,156,171,165,167,168,165,157,166,172,138,170,156,85,130,175,166,165,163,154,135,123,158,162,163,163,164,145,82,87,171,168,166,170,173,127,134,179,101,98,170,95,91,177,167,164,166,140,91,70,158,161,162,162,165,156,127,92,113,173,165,171,187,158,120,145,127,81,165,113,96,175,166,169,172,112,65,83,157,160,161,161,163,163,146,121,97,130,168,169,184,187,133,100,155,89,143,127,102,178,160,178,150,67,115,171,158,159,162,162,163,164,159,137,123,139,144,154,146,188,153,87,129,110,131,145,85,134,144,171,105,80,171,162,158,160,163,164,164,165,166,162,163,160,132,122,109,148,166,99,77,118,127,158,74,78,150,141,77,143,170,162,156,160,161,162,163,164,166,168,180,149,122,103,80,90,157,111,53,131,118,171,96,106,148,99,94,174,164,164,163,167,169,169,171,171,173,171,178,177,149,106,86,96,123,129,62,128,129,97,118,138,131,68,121,174,164,165,109,115,117,121,126,130,134,137,140,182,184,159,103,88,114,133,89,97,150,93,175,136,109,76,168,178,172,167,55,56,56,59,59,57,60,61,51,160,195,186,163,98,102,145,136,117,152,170,158,110,95,70,99,96,107,132,66,65,66,67,65,65,66,69,54,119,200,174,184,137,101,113,181,195,198,179,133,101,78,65,89,123,148,169,66,63,63,63,64,66,65,67,64,75,175,171,185,166,122,102,134,192,185,154,124,84,73,163,182,177,173,178,64,63,63,62,63,65,65,66,69,60,113,186,190,175,134,111,113,171,169,138,116,65,102,157,150,168,165,164,62,64,65,62,63,64,64,66,67,66,64,168,173,151,116,99,107,138,145,119,86,61,150,149,122,139,154,155,61,61,63,63,64,65,63,64,65,68,55,133,166,122,116,110,110,125,131,105,65,74,143,163,111,100,130,151,62,62,62,62,64,67,62,62,64,67,57,110,173,145,145,131,120,126,129,96,55,83,137,157,124,88,123,140
6,154,156,160,161,164,168,170,171,175,177,178,179,181,181,182,185,184,184,184,183,184,185,186,187,188,187,187,186,156,158,160,161,164,168,171,173,176,177,178,179,181,180,183,186,184,185,186,185,185,186,186,186,187,188,187,186,157,158,160,163,166,169,171,172,175,175,178,179,183,182,183,184,184,182,185,186,183,185,185,185,187,187,188,186,158,159,161,165,168,170,171,175,177,177,180,181,184,186,186,185,187,188,188,187,185,185,188,186,187,192,188,186,159,161,164,167,170,171,173,177,178,179,182,184,184,183,179,168,151,155,168,160,158,154,133,168,177,170,189,188,161,162,165,170,171,173,176,177,179,179,181,185,185,183,179,159,127,132,149,152,143,137,121,134,158,124,188,189,161,162,164,169,172,174,177,177,178,181,190,196,191,186,167,141,125,110,107,112,105,106,105,102,105,144,195,190,162,165,167,169,172,175,179,183,184,189,186,175,162,141,116,94,91,106,110,116,134,145,153,162,174,195,191,192,164,167,169,172,172,178,190,176,163,158,157,151,149,140,126,102,116,155,174,199,199,203,203,200,197,194,194,193,167,169,170,174,171,205,201,156,133,133,139,147,156,158,153,147,137,128,110,184,200,196,197,196,196,196,196,195,167,169,171,175,173,221,188,151,151,141,136,128,129,134,134,128,119,117,80,164,208,197,199,199,199,199,197,197,168,169,174,177,176,220,180,170,182,156,138,140,137,145,148,139,119,107,94,183,206,200,201,201,200,201,200,199,170,169,174,176,183,220,203,215,197,156,132,133,134,138,139,135,131,125,104,146,214,201,202,202,203,203,201,200,170,170,176,175,191,222,217,214,194,175,163,139,117,102,114,120,114,108,99,76,165,212,203,204,203,204,204,203,171,172,178,174,201,222,214,207,207,205,185,151,130,125,137,132,112,98,98,60,105,217,204,205,204,205,205,204,172,174,179,174,211,225,218,216,218,201,184,164,140,130,136,130,120,108,113,72,137,216,204,205,205,207,207,206,172,175,177,177,217,224,217,218,215,201,186,156,140,138,134,132,124,118,101,125,207,207,207,206,206,208,208,206,173,175,177,181,224,218,217,215,213,195,166,152,142,140,125,119,123,119,96,185,214,205,208,207,206,208,208,207,175,177,178,186,228,217,215,213,206,167,156,157,144,121,108,64,93,104,110,208,207,208,209,210,210,211,210,207,175,178,176,193,222,212,213,210,190,153,147,155,141,98,61,44,73,89,163,215,206,208,209,211,211,210,209,207,176,178,174,201,216,207,209,198,168,143,154,150,122,103,64,73,118,163,211,210,211,211,211,211,211,210,211,209,177,180,177,208,211,200,202,185,160,145,162,147,120,99,73,102,217,215,209,211,212,212,213,212,211,212,212,210,178,182,178,209,205,203,194,175,156,162,170,141,118,98,73,135,224,208,212,212,214,214,213,213,212,213,212,211,178,181,175,203,205,193,176,171,153,168,161,131,111,93,83,189,218,213,213,214,215,214,213,214,214,214,212,211,178,182,176,195,196,187,174,158,154,169,146,122,107,82,141,221,211,215,214,215,215,215,215,215,215,213,211,211,179,182,171,203,202,184,175,149,158,161,138,120,93,113,214,216,215,216,216,216,216,216,215,215,214,213,213,212,179,175,173,208,195,180,168,151,159,149,125,111,83,176,225,215,218,218,218,216,215,217,217,215,214,214,215,213,182,172,178,199,186,163,153,154,148,137,115,100,89,197,219,217,219,219,219,218,218,219,217,217,215,214,214,214
1,65,77,56,34,35,24,41,0,19,56,74,86,138,96,74,120,120,128,129,133,138,141,143,147,148,150,153,154,69,81,53,39,33,31,40,0,28,59,81,90,140,113,57,120,82,116,135,135,140,143,145,150,151,153,154,155,72,83,49,43,29,41,32,0,37,56,125,103,104,139,69,136,79,77,141,136,141,143,147,150,152,153,155,157,76,83,46,48,30,49,21,0,42,58,139,114,88,142,75,137,114,60,137,140,143,145,149,151,153,155,157,158,81,80,44,52,28,55,9,0,49,62,141,123,88,163,105,119,130,59,126,146,143,147,151,153,155,158,160,160,86,79,48,56,30,62,0,0,51,62,141,130,90,174,116,112,157,76,108,151,146,150,153,156,158,162,163,163,90,76,52,60,33,67,0,3,90,90,131,158,95,162,120,117,174,97,86,154,149,153,155,159,162,165,164,165,95,75,58,58,37,68,0,12,136,99,121,161,93,147,127,105,166,113,75,152,152,153,158,162,164,166,166,167,97,72,62,56,44,64,0,24,140,93,116,160,88,145,145,97,162,125,72,150,155,156,161,164,166,168,169,170,97,69,66,53,52,60,0,30,147,98,108,171,88,138,161,93,167,137,74,144,157,160,163,166,168,170,171,171,99,68,73,50,61,48,0,34,154,124,104,176,101,109,162,84,152,142,68,136,164,162,164,168,170,172,172,172,94,69,78,48,72,36,0,38,148,128,84,174,108,73,151,74,129,154,69,125,168,160,166,170,172,173,174,173,93,70,79,44,80,23,0,41,133,136,75,152,121,110,136,127,146,124,64,103,170,162,168,170,173,176,175,174,92,71,79,44,86,10,0,43,129,158,76,128,150,122,102,143,144,79,48,84,171,165,169,172,174,175,176,179,88,75,79,42,89,0,7,45,131,144,103,140,141,138,128,173,161,88,40,59,163,168,171,174,175,176,180,180,86,79,78,44,89,0,15,47,133,150,149,128,126,134,143,160,152,121,62,34,150,173,171,174,176,177,178,181,86,82,75,50,89,0,22,49,150,172,139,112,110,117,125,120,148,153,103,36,127,179,170,175,176,178,179,182,81,89,72,59,85,0,26,52,161,165,122,100,110,121,141,159,164,173,143,65,93,180,171,176,177,179,180,181,81,93,69,68,77,0,32,52,146,164,114,94,119,122,150,189,171,174,157,93,71,175,172,176,177,180,180,180,84,95,63,75,64,0,39,52,122,170,126,104,110,131,155,188,183,161,142,87,68,174,173,177,178,180,181,183,84,96,57,85,53,0,41,57,94,166,135,111,107,139,158,190,185,158,129,71,77,179,172,176,179,181,182,183,85,99,55,93,42,0,42,62,77,151,154,124,104,131,156,185,181,152,123,66,80,180,172,176,179,181,182,182,89,103,53,104,30,0,45,62,71,130,163,135,118,116,149,180,169,141,121,62,80,180,173,178,180,181,182,182,94,106,52,114,19,0,46,61,73,100,153,144,135,118,138,171,158,132,111,57,88,180,172,179,180,181,181,182,100,106,55,118,7,0,44,57,73,84,125,151,142,132,126,146,151,123,105,52,108,178,170,175,176,177,179,180,105,102,57,121,0,0,41,55,70,84,98,146,146,136,116,120,135,108,94,57,138,174,169,172,174,175,178,178,109,96,63,120,0,1,40,52,66,84,87,135,146,127,109,108,109,102,92,57,152,167,167,172,174,176,178,178,112,91,69,113,0,7,35,43,56,75,79,124,140,114,111,118,111,102,83,52,153,163,163,168,170,173,174,173
4,147,151,154,158,160,163,166,167,169,172,173,174,175,176,177,178,178,177,176,177,176,175,175,174,174,174,174,173,149,153,155,159,161,164,167,168,170,173,174,176,176,179,178,178,180,182,180,178,178,178,177,176,175,175,175,174,150,154,157,160,163,166,168,170,172,174,175,175,175,179,182,186,165,143,171,183,180,180,178,178,177,177,176,175,151,154,158,162,163,166,168,171,175,178,176,184,170,140,172,210,171,120,116,193,181,181,180,180,179,179,178,176,151,155,160,163,166,168,170,173,174,171,186,218,183,140,128,211,173,129,101,169,167,182,183,180,179,179,179,177,153,156,161,164,167,168,170,172,183,181,171,206,196,153,113,197,178,126,70,111,136,125,183,183,181,180,180,179,154,158,161,165,169,171,171,179,211,209,156,141,207,169,111,181,181,122,62,113,146,96,124,191,181,183,181,181,153,159,162,165,169,174,170,190,208,198,145,120,196,154,98,150,160,105,62,121,147,104,84,188,184,184,182,182,155,159,162,168,169,172,172,190,191,190,143,109,176,141,93,113,138,98,75,151,153,101,82,188,185,183,182,182,156,160,164,168,170,174,171,190,185,170,152,118,158,136,95,77,120,76,104,183,141,84,89,192,186,183,183,184,156,161,165,168,172,176,173,192,203,172,158,136,133,170,124,99,117,84,108,149,115,64,91,195,186,187,185,184,157,162,166,169,172,175,174,196,214,188,150,96,104,169,141,162,138,143,149,162,150,91,97,199,186,188,186,185,158,162,167,170,171,176,174,204,209,171,138,105,85,87,104,162,141,165,179,189,171,104,107,199,187,189,187,186,158,162,167,170,173,176,175,210,195,150,121,100,84,80,78,116,144,154,165,169,150,108,92,189,190,190,187,187,159,164,168,171,174,177,178,214,199,163,133,101,88,90,102,105,115,128,131,138,142,123,78,165,197,188,188,187,159,164,168,172,174,176,183,216,196,160,123,103,95,90,102,128,114,145,156,155,157,135,85,124,203,187,190,188,160,165,169,173,175,177,186,215,193,155,120,100,99,91,109,133,139,190,187,193,184,145,103,79,188,193,192,190,161,167,170,173,178,177,188,213,191,155,128,112,105,101,111,128,175,200,203,196,196,157,111,67,159,201,191,192,161,167,170,172,177,177,189,207,186,159,134,123,112,108,107,158,205,203,205,179,175,143,107,69,164,200,190,192,160,165,169,171,175,177,186,203,183,163,136,116,105,112,131,200,211,206,189,168,146,122,84,96,195,192,191,191,160,164,169,170,176,177,183,205,193,157,124,117,112,126,162,214,209,195,168,149,122,97,67,157,200,190,191,191,161,165,169,173,176,180,181,202,195,166,149,147,121,132,182,212,199,180,155,130,108,72,104,201,192,193,192,192,162,166,169,173,177,180,180,199,197,174,152,153,125,121,196,200,184,160,138,114,90,65,170,200,193,194,192,192,161,166,170,172,176,181,177,200,203,179,159,153,123,126,192,185,162,140,114,96,64,111,205,194,194,194,193,193,162,167,171,173,176,180,175,213,209,183,157,142,108,128,177,167,140,117,94,77,64,179,198,194,193,194,193,192,161,167,171,173,179,172,194,218,199,171,149,118,100,136,155,128,99,88,77,56,141,202,193,194,194,193,193,192,159,164,168,171,174,173,214,212,198,180,150,122,119,139,128,94,83,84,65,120,200,193,194,194,193,194,193,194,122,125,125,126,116,165,219,202,197,178,145,131,129,128,113,87,88,87,71,118,129,128,128,127,128,129,130,131
19,182,183,183,186,187,188,187,188,188,188,187,187,186,186,186,185,184,182,182,182,182,181,180,179,180,179,177,176,182,183,185,187,187,189,188,188,190,189,189,189,188,187,187,186,186,184,182,183,183,182,181,181,181,180,179,178,183,185,187,187,188,189,190,190,190,190,190,190,189,189,189,186,186,186,185,185,184,183,183,182,183,181,180,181,186,186,187,188,190,190,191,191,191,190,192,190,189,190,190,188,187,187,186,185,186,186,184,183,184,181,182,181,187,188,188,189,191,192,193,194,193,193,194,192,191,191,190,190,187,187,188,187,187,186,185,185,183,182,182,181,187,188,189,191,192,194,195,195,194,195,194,194,195,192,190,190,189,189,189,189,189,188,186,185,184,184,183,182,188,189,192,193,194,194,196,196,196,196,196,194,194,193,192,193,191,190,190,189,189,188,186,186,186,183,184,184,189,192,193,195,195,196,197,196,197,196,196,195,195,194,194,195,195,193,193,192,191,190,189,189,186,188,186,185,191,193,194,195,197,197,198,198,199,199,197,195,195,195,191,176,178,192,187,186,188,188,185,184,190,167,182,186,191,194,194,196,197,197,197,197,198,195,195,198,196,199,197,180,185,198,185,183,191,185,185,184,175,114,173,190,192,195,195,196,199,200,199,201,205,181,170,178,187,190,183,180,186,188,178,186,201,188,168,146,124,147,188,188,194,195,195,196,200,201,198,198,181,171,179,181,179,183,179,167,138,140,138,140,164,152,146,152,173,192,190,189,194,195,196,198,200,195,202,206,189,192,198,191,177,171,148,142,129,106,106,149,185,184,195,197,195,192,190,191,196,197,198,199,201,192,227,232,213,201,198,191,185,166,127,100,118,105,102,183,203,196,195,192,192,192,191,191,197,197,198,201,203,194,232,227,196,173,153,156,158,151,127,107,117,107,116,195,197,195,195,194,194,194,193,192,198,198,199,200,205,194,217,215,179,143,132,101,106,158,134,112,118,108,125,200,198,196,196,195,195,195,194,193,198,199,201,202,205,190,209,212,172,129,103,82,131,168,135,117,120,107,145,206,197,199,198,197,196,194,193,193,199,200,202,202,207,187,210,215,181,152,113,94,134,131,118,119,116,115,133,206,199,200,199,199,196,195,194,193,200,202,202,202,207,186,208,216,185,155,133,111,82,73,76,89,102,113,113,198,202,199,199,199,198,196,195,195,200,203,202,203,209,181,206,215,186,158,132,125,111,89,83,91,105,109,110,188,205,201,201,200,200,197,196,196,201,202,202,204,210,185,199,212,183,157,133,125,125,109,103,108,113,117,113,188,206,201,202,200,200,199,198,198,201,202,203,204,211,187,197,209,180,154,136,127,127,111,107,112,117,120,121,196,204,202,202,201,201,201,201,199,201,203,204,205,212,193,198,206,177,152,135,126,125,114,111,115,121,120,138,207,203,203,203,203,202,201,201,199,202,204,205,206,211,193,205,204,172,149,134,124,124,122,119,122,130,120,173,211,204,204,203,203,202,201,200,199,203,203,206,207,209,192,211,208,176,152,139,126,124,129,127,131,126,144,206,208,207,206,205,204,203,201,202,201,203,204,206,208,208,190,214,203,183,162,141,126,124,131,130,129,153,199,210,208,208,208,207,206,204,203,201,201,202,203,204,207,204,195,211,194,174,162,141,126,129,129,123,163,210,208,207,208,207,205,204,204,204,203,201,200,201,202,204,208,201,210,210,196,171,154,141,128,128,122,124,191,209,205,206,207,206,204,203,203,203,201,200,199
24,130,136,144,155,163,168,173,177,182,184,188,190,192,193,193,193,191,190,190,189,187,185,183,183,182,179,176,174,132,137,147,159,167,172,177,181,185,189,192,194,197,198,198,198,197,196,195,195,193,191,190,188,186,184,181,180,135,139,150,162,169,175,180,184,189,193,196,199,201,201,201,202,201,201,200,200,199,196,195,194,193,190,187,185,137,142,153,164,172,178,183,186,192,196,200,203,203,203,205,205,205,205,204,203,202,200,199,198,197,195,192,189,139,143,154,167,175,181,186,190,194,199,203,206,207,208,209,208,208,207,207,206,207,206,203,203,202,200,197,195,141,146,164,172,178,184,189,193,197,201,205,208,209,209,210,211,211,211,210,209,209,209,208,207,207,205,202,199,139,162,172,137,185,186,190,195,200,204,207,210,212,212,213,214,213,213,213,213,212,211,212,211,210,209,206,203,139,172,160,99,183,189,192,196,202,206,210,211,211,214,215,216,221,216,214,216,214,213,215,215,212,210,209,207,141,179,159,94,178,192,195,200,205,207,210,214,221,219,219,194,168,214,218,214,216,218,216,212,218,214,211,208,143,184,148,88,176,194,196,199,202,213,212,213,179,197,247,195,124,138,223,219,212,193,177,136,153,221,213,217,145,178,143,87,176,195,205,189,148,185,228,220,142,112,178,204,157,104,197,209,196,165,120,92,184,234,212,183,146,178,157,89,169,196,222,218,182,158,213,223,161,122,111,205,174,122,145,173,206,136,100,182,200,145,81,56,148,180,172,100,150,201,214,243,232,191,147,223,186,156,115,187,176,116,97,193,178,98,90,102,62,42,49,44,153,171,192,151,156,192,213,210,242,215,150,163,214,164,108,134,155,93,127,212,132,81,51,43,57,62,56,53,155,160,204,184,176,195,214,171,193,220,155,102,206,186,119,74,89,97,180,184,102,57,47,45,42,60,56,48,157,160,191,204,199,220,221,198,170,189,150,86,176,202,128,61,69,155,189,149,80,36,41,55,38,46,58,54,158,165,182,229,208,191,198,183,153,167,157,109,122,158,97,88,123,159,156,116,57,50,28,46,49,38,48,59,157,168,177,228,210,173,186,171,133,139,161,136,106,105,153,181,169,167,128,88,24,52,43,29,45,40,43,52,158,170,178,217,219,156,145,157,140,142,161,173,149,169,237,220,188,177,112,70,11,35,57,36,32,42,40,43,123,129,125,170,223,173,130,145,183,152,198,230,209,233,243,213,187,168,101,69,22,18,50,53,38,39,34,39,111,114,107,132,229,203,153,129,171,168,210,229,237,248,234,202,178,152,91,58,38,9,36,54,47,44,34,31,116,118,118,121,213,217,176,142,142,175,197,236,242,238,218,190,167,144,85,36,49,8,23,49,48,48,40,27,118,119,121,114,193,226,196,161,142,168,184,233,242,228,206,180,157,142,89,23,52,19,10,39,50,45,42,36,116,118,122,111,169,228,207,174,157,167,174,221,235,215,197,176,149,134,87,23,47,34,4,25,48,42,40,39,115,117,119,114,138,219,211,188,167,172,165,207,226,205,194,176,135,121,79,25,42,45,11,11,42,44,36,37,115,116,117,118,116,193,211,197,177,179,163,183,214,200,197,168,122,112,60,10,39,48,25,4,29,46,31,33,115,115,116,118,113,144,213,206,188,180,168,161,192,191,184,155,114,104,49,3,22,50,37,12,12,41,35,25,114,115,115,116,118,113,181,210,192,180,164,147,160,175,160,137,112,91,35,3,8,45,42,24,7,26,42,22
10,153,153,154,155,155,156,158,158,157,158,158,157,156,156,155,154,153,152,151,150,147,156,148,111,141,141,139,138,157,157,158,160,160,160,161,162,161,162,161,161,161,160,159,159,157,155,155,154,150,167,156,91,136,143,141,140,162,162,163,164,165,165,166,166,167,167,165,165,166,165,164,163,162,160,159,158,154,171,157,92,132,148,144,143,167,168,168,169,170,170,170,171,171,170,170,170,170,169,168,167,165,164,162,162,158,175,148,87,130,154,148,146,171,172,173,174,174,174,174,174,176,175,175,176,175,174,173,171,170,169,167,166,163,178,151,90,131,157,152,151,174,175,177,178,178,178,179,179,180,180,179,180,180,179,178,176,174,172,171,170,167,186,157,96,136,161,156,154,178,179,180,180,181,182,183,183,183,182,182,183,184,182,181,180,178,176,174,173,173,193,152,137,137,164,160,157,182,183,183,184,184,185,186,187,186,186,186,186,187,186,184,183,182,181,179,178,178,188,167,157,94,166,163,160,183,185,187,187,188,188,189,189,188,188,188,188,189,189,188,187,186,185,182,178,154,147,173,154,77,148,170,164,187,188,189,190,191,190,191,191,191,191,190,191,192,192,192,190,188,188,187,191,180,148,130,138,95,87,172,168,190,190,192,193,194,194,194,195,195,194,195,195,195,195,195,194,192,180,164,175,191,167,136,103,101,71,123,176,194,194,195,196,196,196,197,196,197,197,197,197,197,197,194,190,195,172,134,105,124,175,177,139,81,78,86,177,196,196,197,198,198,198,200,199,199,199,200,200,199,198,177,139,154,192,162,113,39,118,167,112,68,65,93,180,198,198,199,200,200,200,202,201,201,201,201,201,200,196,187,158,123,180,188,139,63,40,68,113,94,65,103,185,199,200,201,201,202,202,202,202,202,202,203,203,201,189,188,185,149,138,194,151,97,46,51,145,137,74,109,187,201,201,202,204,204,204,203,204,205,205,205,204,199,172,145,176,158,100,155,160,104,54,76,145,156,86,105,188,202,203,204,205,206,206,206,207,207,207,207,205,201,183,128,121,140,76,100,164,106,64,89,139,146,81,101,189,203,204,206,207,208,208,207,208,209,208,209,207,193,174,144,107,124,94,79,158,150,96,92,140,109,66,121,192,204,207,207,207,208,209,209,210,210,209,209,207,199,202,176,123,115,117,88,140,171,118,82,120,88,60,161,192,207,208,208,209,209,210,210,210,211,211,211,210,198,208,188,151,123,115,111,165,161,101,78,104,81,75,189,191,208,209,210,210,210,211,212,211,212,213,215,215,199,203,197,166,134,128,143,200,193,149,112,101,73,105,198,191,208,210,211,211,212,213,213,213,214,215,216,216,202,190,192,175,149,141,148,196,194,166,129,99,64,141,200,192,206,208,209,210,211,210,211,212,214,215,215,216,208,185,189,181,170,154,149,189,185,153,114,88,66,178,198,194,207,208,209,210,211,211,211,212,215,215,215,215,215,188,178,185,180,158,138,173,162,134,100,69,93,199,194,193,209,208,210,212,212,214,214,214,216,216,216,216,216,204,171,177,171,154,130,146,145,118,87,54,147,202,194,192,210,211,211,213,213,215,215,215,215,216,217,217,216,215,187,175,163,148,131,130,144,115,74,82,196,199,195,193,206,209,211,213,214,216,217,217,218,219,219,220,220,216,195,177,161,154,144,129,139,108,63,139,205,197,196,197,132,134,139,143,147,152,158,163,166,171,174,179,185,185,189,182,165,168,151,134,133,98,62,165,200,195,188,149
12,189,191,191,192,192,193,194,195,194,195,195,195,196,196,196,196,196,196,196,196,195,195,195,196,194,195,195,194,190,191,193,194,194,194,196,196,195,196,196,196,197,196,196,197,197,197,197,197,196,195,196,197,196,196,196,195,191,191,193,195,195,196,197,197,197,197,197,198,198,198,198,198,198,199,199,198,197,197,197,197,197,197,197,196,192,193,194,195,196,196,198,198,197,198,199,198,199,198,199,200,200,201,199,199,199,199,199,198,198,198,197,197,194,195,196,196,196,196,199,200,198,198,199,200,198,206,200,196,202,200,201,202,200,201,200,200,200,200,199,199,196,196,197,197,198,199,199,201,199,206,209,196,206,219,208,170,180,209,202,189,202,200,201,201,201,200,201,199,196,197,198,198,200,201,201,198,211,236,222,183,196,226,212,157,138,211,203,158,175,205,201,203,202,202,202,201,196,197,199,200,201,200,202,196,218,239,226,183,185,231,211,164,130,208,196,156,134,204,204,203,203,202,203,202,197,198,200,201,201,203,202,199,223,236,226,182,182,233,207,175,153,212,182,144,120,191,209,204,204,203,203,203,198,200,201,201,202,200,213,222,199,210,226,205,165,229,215,175,169,213,190,140,113,183,211,205,205,205,205,205,198,200,201,202,202,203,237,224,180,171,204,195,146,218,214,148,173,219,177,133,111,178,214,205,207,206,206,205,200,202,203,204,200,221,239,226,200,152,182,155,116,155,159,124,179,187,137,114,110,176,215,206,208,207,207,206,201,203,204,205,202,230,236,231,206,167,154,152,107,101,116,181,201,182,145,146,133,178,217,207,208,208,207,206,202,204,206,205,206,233,216,230,210,186,141,124,132,117,181,236,230,211,184,183,154,180,217,208,209,208,208,208,203,205,206,204,212,239,224,210,211,189,152,123,124,170,239,234,227,211,186,175,146,165,218,210,210,209,209,208,205,206,207,203,224,239,230,192,207,188,162,129,120,227,239,234,226,212,190,165,136,166,220,211,212,210,209,210,206,207,209,203,229,239,234,214,192,188,197,152,151,239,236,234,225,209,180,161,132,168,220,211,213,212,211,212,206,208,210,206,221,239,235,217,190,171,190,183,209,239,235,234,225,204,178,158,135,152,219,212,214,213,212,212,207,208,210,206,224,239,237,223,211,198,183,218,234,239,232,233,225,200,182,153,133,145,220,214,213,213,213,212,208,208,211,207,226,239,238,232,223,218,204,219,227,239,228,227,219,202,178,151,123,164,223,214,214,214,214,214,208,209,212,208,223,239,238,236,229,220,209,214,220,237,225,217,212,203,168,145,121,199,219,215,216,215,216,214,208,210,212,211,217,239,238,238,230,216,207,214,215,230,220,209,208,194,160,128,145,223,214,216,216,216,216,215,208,210,212,212,212,234,238,235,227,210,201,210,211,221,213,205,200,177,144,116,193,223,217,217,217,216,217,216,210,212,214,217,215,233,239,230,222,210,206,213,218,231,221,207,190,161,120,147,225,217,218,218,218,217,217,217,208,204,200,195,183,192,188,168,164,162,161,166,162,168,157,149,145,133,112,207,233,220,220,219,219,219,219,218,162,158,151,144,129,120,118,112,106,100,94,92,81,80,80,79,78,82,85,126,180,220,221,219,219,219,219,219,144,145,146,140,130,124,121,114,109,103,99,92,85,84,83,81,78,75,73,66,70,204,223,218,219,218,217,218,157,144,146,138,130,123,118,113,108,100,96,91,84,82,82,81,76,73,76,65,118,225,217,219,218,218,218,217
20,153,156,160,163,165,167,171,172,174,175,176,177,175,177,178,175,176,175,175,175,172,171,171,170,168,166,165,164,155,159,162,165,167,171,173,175,176,177,178,177,182,164,170,182,177,177,177,176,176,174,172,171,170,170,169,167,157,161,165,167,171,175,176,177,178,181,182,176,206,145,126,185,180,179,180,179,178,176,176,174,173,173,172,170,159,163,167,171,174,177,178,179,181,184,184,180,214,153,131,148,158,186,180,181,180,178,178,175,176,175,174,173,161,165,171,173,176,179,181,183,185,185,186,183,212,149,159,163,125,192,182,184,183,182,180,179,178,178,177,176,164,168,173,176,177,180,184,187,187,188,188,186,218,163,163,181,113,186,186,185,185,184,183,182,182,181,180,177,168,172,175,178,180,182,186,189,190,191,191,189,224,175,157,199,115,179,192,188,187,186,185,184,184,184,183,180,170,174,177,180,182,184,188,191,191,191,195,194,220,165,155,207,123,168,198,190,190,188,187,186,185,184,184,183,172,176,178,182,185,188,191,191,197,200,179,195,238,172,160,210,130,157,201,192,192,191,189,189,187,187,185,184,174,177,181,185,187,190,191,191,204,229,183,169,194,166,151,224,144,151,203,192,193,193,192,192,190,189,187,186,175,179,183,186,189,189,197,230,178,168,210,165,126,120,123,206,148,144,204,194,195,195,193,192,193,191,189,188,177,181,184,187,192,190,211,208,197,159,205,200,197,170,122,154,144,137,207,198,198,197,195,193,193,192,192,190,178,183,185,190,194,193,210,195,169,155,168,196,210,209,142,101,119,129,207,198,198,198,196,195,193,193,193,192,180,185,188,191,195,197,205,219,186,139,104,103,132,205,171,108,83,122,208,199,200,200,199,197,196,195,194,194,181,185,191,194,196,199,202,233,196,145,112,102,93,191,206,141,81,109,208,203,202,201,200,200,199,197,194,194,182,188,192,195,199,201,204,226,194,152,120,130,144,201,228,176,111,96,204,207,204,203,202,201,200,199,196,194,185,190,193,196,200,203,206,235,204,155,140,132,174,234,222,180,137,94,200,210,205,204,203,202,201,200,198,196,186,191,195,199,203,206,208,239,208,163,147,149,203,239,203,158,124,94,202,209,207,206,204,204,202,201,201,198,187,192,196,199,204,206,209,238,216,180,164,156,221,230,184,139,100,112,214,208,208,207,207,206,205,203,202,199,189,195,199,202,205,207,209,233,217,180,172,163,228,221,172,131,93,120,220,209,211,209,207,207,207,206,202,199,191,196,200,204,206,209,209,225,218,183,184,166,221,206,158,123,86,126,222,210,213,211,209,208,207,206,204,202,191,197,201,205,208,210,211,219,222,197,196,167,213,192,143,112,80,143,225,211,213,213,212,209,208,208,205,203,192,198,202,205,209,210,214,217,223,203,198,161,199,172,127,107,78,169,225,213,214,213,212,211,210,209,207,204,192,198,203,206,209,212,215,218,230,199,172,143,184,151,131,109,90,205,221,216,216,213,212,212,212,210,207,205,194,199,204,206,210,213,215,219,234,207,169,161,182,140,146,92,140,228,217,219,218,216,215,214,212,212,209,206,194,199,204,208,211,214,213,223,240,221,194,187,166,136,135,82,191,226,217,220,219,217,215,215,214,213,210,208,193,198,201,206,211,214,210,223,225,202,201,186,155,130,111,103,216,220,218,218,217,215,215,214,214,212,211,208,193,198,203,207,211,216,207,229,218,184,183,172,139,119,89,133,227,219,219,219,218,217,215,213,212,212,210,207
1,51,54,69,87,100,107,110,116,122,125,128,131,135,138,139,144,143,142,143,144,145,146,146,146,148,148,147,148,51,56,72,90,103,109,113,119,126,129,133,135,137,148,149,111,147,149,149,147,149,149,149,149,151,150,149,149,53,59,76,94,106,111,116,123,131,135,137,139,143,161,168,78,129,122,138,157,152,153,153,153,153,152,151,151,55,61,78,97,109,114,120,128,134,138,144,158,106,159,169,75,122,125,91,165,156,157,159,157,157,156,154,154,56,64,83,99,111,117,123,132,139,141,152,178,86,144,169,70,122,147,71,152,166,163,163,161,161,160,159,158,56,66,87,102,114,119,125,135,142,145,155,183,92,132,176,82,125,154,72,135,173,165,166,166,165,165,164,163,57,69,90,106,119,123,130,138,144,147,160,188,100,118,167,87,127,168,88,124,180,168,170,170,169,169,168,167,58,71,93,109,120,125,131,141,149,157,123,181,108,98,149,88,126,164,91,119,185,172,174,174,174,173,172,171,59,75,96,113,123,128,135,142,162,166,90,170,112,79,157,96,119,174,102,119,190,176,177,178,178,177,175,175,59,77,99,116,125,129,140,146,173,158,83,174,122,68,146,91,116,183,112,120,193,181,183,183,181,181,179,179,60,79,101,118,128,131,142,148,177,156,76,165,141,72,116,112,117,164,117,115,196,184,187,185,185,183,182,182,62,81,104,120,129,134,145,151,185,167,73,134,162,126,129,135,115,107,94,112,199,186,188,187,188,187,185,184,63,84,106,122,132,136,148,154,187,172,75,111,128,133,137,101,107,138,89,114,205,188,192,191,191,190,189,189,65,87,109,126,135,139,152,157,184,175,118,131,72,115,95,78,154,177,153,111,179,200,191,194,193,193,192,192,66,90,113,130,137,142,154,160,194,180,134,110,73,100,67,116,168,173,178,124,91,189,198,197,196,196,196,194,67,92,114,131,140,145,157,165,203,180,129,93,78,107,110,170,190,177,158,102,66,121,209,197,199,199,199,198,69,94,117,134,140,147,160,168,209,190,132,89,93,116,131,188,199,185,144,96,63,105,210,199,200,200,201,200,71,97,119,136,143,149,163,169,210,201,144,90,104,129,152,187,197,182,143,100,53,124,215,201,204,202,200,205,74,101,122,138,145,152,165,171,207,206,164,101,110,138,158,199,199,174,134,98,52,145,218,201,205,213,217,201,77,104,125,141,146,154,168,172,203,211,183,116,118,141,154,203,195,170,123,91,49,162,214,213,209,177,117,59,80,106,128,144,149,157,170,174,197,206,193,130,133,132,151,194,189,163,112,85,51,178,223,155,78,37,18,23,83,108,130,145,150,158,171,178,189,197,198,145,148,126,153,182,184,151,105,75,60,203,130,35,14,19,22,15,85,109,132,147,151,159,171,179,181,190,197,162,151,133,138,180,166,140,94,68,76,112,29,37,26,1,19,23,86,111,134,147,150,159,169,177,180,184,189,168,156,146,122,161,153,126,90,70,51,18,11,33,40,0,1,27,87,114,136,149,151,161,172,179,185,179,186,175,163,157,126,133,152,117,89,66,36,30,10,6,39,14,0,13,89,115,138,151,153,164,173,181,188,181,187,184,171,158,122,117,140,113,83,56,40,29,17,0,19,31,0,0,87,115,140,152,155,166,174,182,188,186,190,174,154,147,124,118,117,103,72,49,44,19,17,0,0,31,5,0,100,118,136,145,151,160,167,176,184,180,189,181,151,154,145,118,103,97,68,46,39,28,9,0,0,17,19,0
6,170,173,175,177,180,181,182,183,184,184,184,182,182,182,182,182,181,180,180,180,179,177,176,177,175,174,173,170,170,173,177,179,181,183,183,184,185,187,187,186,185,184,183,183,183,183,182,181,180,179,180,179,177,176,174,173,172,175,179,181,182,183,186,186,187,188,188,187,188,188,186,185,185,184,183,182,182,181,182,181,180,179,177,176,173,176,179,182,183,185,188,189,188,188,188,189,189,190,190,190,189,188,187,185,185,182,179,181,183,181,180,179,175,179,181,183,186,187,189,190,190,190,191,191,190,184,175,172,173,175,169,171,161,159,194,162,162,187,181,180,177,181,184,186,188,190,192,193,190,191,190,188,184,174,157,154,168,181,170,172,158,156,199,142,133,192,182,182,180,182,184,187,190,191,193,192,194,197,204,204,201,187,171,161,164,167,160,153,153,133,131,124,169,189,185,183,180,183,186,189,189,190,190,197,208,209,205,187,172,150,135,113,108,112,124,131,136,147,163,182,190,187,187,184,180,183,186,186,201,209,192,192,191,183,167,158,149,133,128,117,104,161,179,186,192,196,196,193,189,189,189,187,180,184,188,185,223,210,182,177,172,181,189,187,173,163,163,167,111,151,206,194,195,193,193,193,192,190,190,189,180,184,188,191,212,178,167,175,183,192,198,195,184,175,163,145,100,109,204,195,197,195,195,194,193,190,190,189,182,186,185,209,219,175,168,171,177,185,189,190,178,158,153,131,84,87,187,201,196,196,196,195,193,193,191,190,184,189,186,214,192,177,181,175,177,180,189,192,174,147,154,147,84,71,157,207,195,196,196,196,195,195,193,190,185,189,188,208,195,199,191,190,191,199,204,191,174,165,160,132,92,75,142,208,196,197,197,196,196,195,193,192,185,189,189,202,225,222,187,186,188,187,184,177,167,155,133,102,92,83,129,208,198,199,198,197,197,197,194,192,187,191,190,201,234,222,191,180,167,144,142,155,152,150,147,91,84,89,148,209,199,200,199,198,197,196,196,194,188,191,189,206,221,215,199,178,160,164,184,185,166,157,168,113,69,117,202,201,200,200,200,199,199,199,196,194,188,192,189,209,214,217,212,180,174,190,198,175,159,150,139,112,85,147,210,200,201,200,200,200,198,199,197,196,189,193,190,209,217,208,205,184,178,184,183,170,153,137,114,98,93,171,210,202,202,200,202,202,200,200,198,196,189,193,190,207,217,209,199,186,177,177,159,145,122,102,95,89,114,197,206,204,203,202,202,202,200,199,197,196,189,194,188,201,212,213,196,177,163,149,122,100,73,66,80,128,193,208,205,204,205,206,204,202,200,200,198,197,188,192,187,196,208,197,172,158,145,122,97,78,63,80,110,199,212,204,204,206,206,204,203,203,201,198,197,197,187,192,187,189,202,177,159,156,148,110,92,90,73,89,163,210,203,206,205,204,202,201,201,202,200,198,197,195,188,193,182,180,194,165,162,164,132,103,96,98,82,140,209,206,205,206,206,204,202,202,201,201,200,198,196,195,188,192,180,175,188,157,170,163,124,102,95,101,131,204,208,206,206,206,206,205,203,201,201,200,199,199,197,196,188,194,176,178,182,161,173,159,124,101,95,104,184,212,205,207,208,205,205,204,204,203,202,201,200,199,198,196,186,195,168,185,185,159,167,144,112,95,100,114,196,208,205,207,207,205,204,203,205,203,203,203,201,199,198,196,185,189,162,194,178,152,150,122,101,96,100,132,208,204,204,203,204,203,201,203,202,199,201,200,200,199,198,195
21,121,122,124,125,126,126,126,127,128,127,128,132,129,129,129,129,128,128,128,129,128,127,127,126,125,124,124,123,123,125,129,129,129,129,129,130,131,132,129,111,132,131,132,131,131,131,132,132,132,130,129,128,127,126,126,125,127,128,131,131,133,133,132,133,133,134,141,80,113,141,133,135,135,134,134,133,133,133,132,131,131,130,129,128,130,131,132,133,135,135,136,137,137,137,145,84,96,146,137,138,139,139,136,136,135,135,134,133,133,133,131,130,133,134,136,136,137,138,138,140,139,140,147,85,81,147,140,132,105,131,143,139,139,138,137,136,136,135,134,132,136,137,139,140,142,142,142,143,142,142,152,102,76,145,143,131,85,92,151,141,141,140,139,139,139,138,137,135,138,140,142,143,144,144,145,144,146,142,159,133,77,136,150,129,90,79,149,145,144,144,142,141,140,140,138,137,140,142,144,144,146,146,146,147,148,144,161,139,77,121,155,128,92,75,142,151,147,145,145,144,143,142,142,140,143,144,147,147,147,148,149,149,149,146,163,151,90,110,159,135,113,81,138,152,148,148,148,147,146,145,144,143,145,147,147,149,149,150,151,150,150,150,142,138,115,99,160,132,111,82,135,155,150,150,149,148,148,147,146,144,148,150,149,149,151,151,152,152,152,157,138,101,98,93,157,129,122,80,134,159,152,151,150,150,150,149,148,146,148,150,150,152,153,153,153,155,152,168,159,119,63,73,157,136,137,93,136,161,154,153,153,152,152,150,150,149,149,151,153,154,155,155,155,156,156,168,167,120,88,117,118,108,119,100,105,163,155,156,155,154,154,153,152,150,152,153,155,155,155,157,158,156,152,139,153,124,81,103,93,105,99,101,86,142,162,157,157,155,155,154,153,152,154,155,157,158,158,159,159,160,146,91,114,142,69,37,80,94,71,132,104,108,167,157,159,158,157,155,155,154,155,157,158,160,160,161,159,163,155,112,74,144,99,48,60,48,106,161,133,90,151,162,159,159,159,157,157,155,156,158,158,159,160,160,164,155,151,139,73,130,123,50,68,120,108,149,143,89,107,170,158,160,159,158,158,157,157,159,159,160,161,162,163,168,139,133,83,65,72,39,67,149,142,131,111,81,73,160,163,160,159,158,159,158,158,159,160,161,163,163,162,158,124,122,84,54,45,56,105,152,155,129,88,71,73,158,164,162,161,159,159,159,159,161,161,163,165,165,162,157,152,109,104,86,59,95,149,161,147,125,90,64,92,172,163,164,162,161,160,160,160,161,162,164,165,167,162,167,143,125,114,102,70,124,167,158,149,122,87,55,128,175,163,165,163,162,161,161,160,162,164,165,165,167,165,167,154,136,104,141,128,162,171,164,149,107,77,60,156,170,166,165,164,164,163,161,161,163,164,165,166,167,167,164,163,127,124,140,150,174,180,172,135,94,61,82,174,166,167,166,166,164,163,163,162,164,164,165,167,167,168,154,156,141,137,125,145,166,174,159,117,87,55,115,180,168,168,167,167,165,165,163,162,163,164,165,166,166,169,151,150,147,139,125,139,154,152,131,95,73,59,155,174,170,169,168,167,166,167,167,160,163,164,165,165,166,170,161,142,141,136,134,125,130,134,106,76,54,106,179,170,170,169,169,168,166,165,156,161,163,165,165,166,166,168,170,143,139,134,138,119,117,124,94,65,61,161,172,171,170,169,169,168,167,165,102,163,164,165,166,167,167,168,172,149,134,123,125,112,109,113,89,52,87,176,170,171,171,171,168,172,142,113,80
23,172,174,178,180,181,182,183,184,184,186,187,186,186,185,185,186,187,187,187,187,186,187,187,186,187,185,186,185,174,176,179,181,182,184,184,186,187,186,186,186,187,187,188,188,188,188,190,188,187,188,188,188,188,187,187,187,177,179,181,184,185,186,186,187,189,188,188,189,189,189,189,185,177,179,188,189,189,191,191,191,191,190,189,188,178,180,183,185,186,188,189,190,190,192,193,192,191,201,209,192,170,158,164,157,182,194,194,194,193,193,192,190,180,182,185,187,189,190,192,192,192,194,194,195,204,209,198,174,153,148,134,122,180,196,195,195,195,195,194,193,181,184,186,188,191,193,193,193,193,194,196,207,204,171,160,135,143,147,148,173,195,196,197,196,197,197,197,196,183,186,188,190,192,193,194,195,196,195,196,201,179,134,128,164,196,197,198,199,198,199,199,198,198,199,199,198,186,188,190,193,193,195,196,196,198,197,198,193,165,140,133,201,200,199,193,189,199,200,201,202,201,201,200,200,188,189,192,194,195,197,198,198,199,200,200,194,169,159,131,195,201,207,189,137,176,202,203,203,203,203,201,201,188,192,194,195,196,198,199,200,201,201,200,200,183,167,155,206,219,212,185,120,144,203,202,204,203,203,202,201,190,194,195,196,199,200,200,201,202,202,200,205,194,200,215,216,205,198,176,103,110,160,172,205,204,203,203,202,191,193,196,197,200,200,201,202,203,202,201,201,205,215,211,204,203,191,151,98,64,117,132,197,207,205,205,204,192,194,197,199,200,201,202,203,204,203,200,201,208,214,214,201,199,182,115,82,52,89,92,129,200,208,207,206,193,195,197,200,201,201,203,204,204,207,205,204,206,208,203,197,197,170,103,75,52,72,81,76,132,207,207,207,195,196,198,200,201,203,204,206,205,212,214,201,201,202,201,198,182,138,95,78,55,62,80,83,94,198,209,208,195,197,199,201,203,204,205,206,206,207,210,203,203,202,191,167,127,91,94,82,57,59,78,81,131,208,209,208,196,198,199,201,204,205,206,207,207,201,206,202,198,183,155,115,69,73,94,78,53,68,85,94,185,213,211,209,195,199,201,202,205,206,206,207,209,202,204,199,194,179,134,90,59,82,81,55,50,71,86,141,211,212,212,211,195,198,200,203,205,206,207,208,209,203,201,198,199,179,114,72,56,64,52,49,60,73,96,190,215,213,213,213,195,198,200,202,202,204,206,207,207,202,198,198,201,165,112,82,52,49,53,64,78,77,132,212,214,214,215,214,196,199,200,202,203,205,205,206,207,201,199,203,203,168,121,92,57,53,76,89,93,87,169,218,216,214,214,214,196,198,201,203,205,206,206,206,207,200,197,209,201,170,130,99,71,60,86,98,99,92,186,217,215,214,214,213,195,198,201,203,205,206,206,206,207,199,192,209,199,170,134,103,81,63,88,100,97,105,202,216,215,214,213,213,195,198,201,203,205,206,207,207,208,197,191,203,195,167,131,102,85,68,86,99,91,133,214,215,215,215,215,214,197,199,201,203,205,207,208,208,209,190,189,200,190,161,129,100,85,74,80,93,95,181,217,215,215,215,215,215,191,194,198,199,202,204,206,207,207,187,199,200,182,155,125,100,85,79,76,91,153,214,217,217,216,216,215,212,129,133,138,141,144,146,149,154,154,174,212,204,177,146,119,99,86,81,79,134,191,199,201,207,208,204,201,199,100,101,103,103,104,105,107,106,104,179,221,205,175,139,117,100,85,82,89,111,129,144,154,176,188,182,186,185
11,137,142,149,156,161,164,169,173,176,179,180,185,197,170,186,184,184,185,184,184,184,182,181,182,162,187,198,204,141,148,155,162,165,170,175,178,182,185,183,191,215,133,183,190,187,186,185,184,184,183,182,178,178,204,205,210,145,151,161,169,173,177,182,186,188,191,190,197,238,127,164,199,190,191,190,189,188,187,185,180,202,147,201,214,150,156,166,174,179,183,188,192,195,199,197,206,242,123,149,209,196,197,195,194,194,192,190,187,189,194,217,211,154,161,172,180,185,189,195,200,203,206,204,214,235,117,153,215,202,203,202,201,200,198,196,193,191,198,169,204,157,165,178,187,192,197,202,207,210,212,211,225,241,121,161,222,209,210,210,208,207,204,201,198,197,188,168,209,161,169,183,191,198,203,209,212,216,221,214,248,233,103,178,228,216,217,216,215,213,210,207,205,202,199,197,215,165,174,189,197,203,208,214,219,222,226,221,255,232,100,199,232,223,222,223,221,219,216,214,210,208,204,202,225,169,179,194,202,208,213,219,224,228,228,232,240,160,107,207,236,228,228,227,227,226,223,221,217,214,211,206,228,173,183,197,206,213,219,224,229,232,229,255,235,122,101,214,240,233,232,232,232,230,229,226,223,219,215,212,229,176,186,201,211,216,222,229,230,239,239,172,194,161,111,224,243,237,237,237,236,235,233,230,228,224,222,216,227,179,191,205,214,220,227,230,242,255,235,114,113,179,122,215,249,241,241,241,239,238,236,234,229,234,200,123,241,182,194,209,218,223,227,241,196,197,210,158,109,166,126,189,255,242,245,245,244,242,241,241,236,245,143,74,152,184,197,211,220,224,247,255,185,111,140,193,123,131,132,155,255,245,248,248,248,241,228,213,211,202,100,87,76,186,200,214,221,250,255,222,216,178,113,158,134,109,148,119,247,253,252,245,236,236,215,191,189,161,101,87,86,188,203,214,252,255,186,138,184,210,131,108,123,97,177,146,213,255,243,243,243,241,209,179,156,128,89,79,82,190,204,218,255,231,164,124,103,193,136,99,127,81,166,187,129,205,248,255,232,190,151,106,73,71,72,69,79,191,206,218,251,205,140,110,79,159,149,104,143,87,121,176,138,207,242,221,164,117,88,62,66,66,64,71,66,192,208,216,240,201,146,120,96,119,156,116,158,118,177,189,165,198,192,142,86,63,81,76,56,61,64,75,40,191,207,215,244,222,167,133,110,107,129,145,176,169,228,187,143,157,115,61,73,60,63,79,68,50,53,54,50,192,209,218,248,228,178,152,120,120,132,197,244,247,214,163,137,106,71,54,59,72,56,64,73,60,51,49,52,195,211,220,248,234,197,163,127,138,142,226,254,229,191,146,116,46,54,74,47,65,69,54,59,68,51,49,49,186,199,210,240,234,205,167,141,149,147,218,238,201,161,133,101,46,35,72,64,50,66,63,51,57,60,42,49,137,140,134,185,232,212,176,159,154,151,196,223,191,149,120,77,65,27,56,72,58,55,63,54,47,59,46,40,137,138,135,150,221,216,183,171,157,144,182,203,178,138,83,45,77,33,37,68,64,58,55,55,44,49,53,37,139,140,141,143,219,214,189,176,157,130,162,166,142,102,48,37,74,52,23,57,68,57,55,53,46,43,46,46,139,141,142,142,220,223,194,174,154,133,141,142,103,44,50,43,62,69,27,38,67,60,51,54,50,44,40,41,139,140,143,132,205,223,177,158,146,136,138,126,82,41,25,48,53,74,46,25,55,63,49,51,51,43,42,37
23,216,218,219,222,223,223,223,224,226,227,230,231,231,227,225,226,226,227,229,226,228,228,229,229,228,229,225,224,219,219,220,223,223,224,227,227,230,231,230,227,228,231,247,255,251,224,221,230,231,228,229,230,230,230,228,227,219,221,222,224,226,227,228,229,232,230,234,244,255,255,255,255,252,235,220,220,176,207,234,232,232,231,230,229,221,223,225,226,229,230,229,232,233,230,255,255,255,255,252,221,172,176,171,151,150,227,233,233,233,233,233,233,223,225,225,227,229,231,232,234,229,242,255,255,221,222,189,155,193,194,183,194,230,236,233,235,235,235,235,234,224,224,226,230,232,233,235,236,227,254,255,255,195,147,169,216,241,241,242,242,237,235,235,238,237,236,235,235,226,226,229,232,233,234,237,238,229,255,255,255,207,173,244,243,252,253,226,236,236,238,238,239,239,238,237,237,227,229,232,233,234,236,237,237,237,255,255,255,195,182,255,255,255,255,184,231,253,240,239,241,242,241,241,240,229,233,233,234,235,238,241,232,249,255,255,255,217,255,255,255,255,249,164,158,193,240,243,242,242,242,241,241,231,234,235,236,238,240,242,232,255,255,255,255,255,255,255,255,254,236,240,188,104,188,253,240,242,244,243,242,234,235,237,239,240,240,242,237,255,255,255,255,255,255,255,255,255,255,255,233,132,143,255,245,247,246,245,244,236,237,240,241,242,242,238,255,255,255,255,255,255,255,255,255,255,255,236,196,134,116,203,253,246,249,247,246,236,237,241,241,243,236,255,255,255,255,255,255,255,255,255,255,254,238,240,219,130,112,138,249,249,249,249,249,238,240,243,244,243,236,255,255,255,255,255,255,255,255,255,255,254,247,251,231,140,104,148,255,250,250,251,251,240,241,244,247,246,243,255,255,255,255,255,255,255,255,255,255,241,235,230,194,142,103,192,255,250,252,252,252,242,243,243,248,253,247,255,255,255,255,255,255,255,255,217,219,208,196,181,179,140,124,237,255,253,253,253,252,244,245,245,249,253,248,255,255,255,255,255,255,255,241,184,147,128,134,172,178,132,157,255,255,255,255,253,254,245,247,248,249,252,249,255,255,255,255,255,255,255,224,192,153,47,96,179,176,128,198,255,255,255,255,255,255,246,248,250,251,252,251,255,255,255,255,255,255,255,255,188,102,70,134,167,151,121,232,255,255,255,255,255,255,249,250,251,252,253,253,253,255,255,255,255,255,255,255,184,103,96,151,133,119,146,255,255,255,255,255,255,255,249,252,251,253,255,255,254,255,255,255,255,255,255,240,188,139,92,111,120,122,165,255,255,255,255,255,255,255,249,253,253,255,255,255,255,255,255,255,255,255,255,242,186,151,90,105,135,124,186,255,255,255,255,255,255,255,251,253,254,255,255,255,255,255,255,255,255,255,255,243,189,158,114,118,143,124,218,255,255,255,255,255,255,255,251,253,255,255,255,255,255,255,255,255,255,255,255,246,195,162,126,130,146,132,250,255,255,255,255,255,255,255,251,254,255,255,255,255,255,255,255,255,255,255,255,234,192,159,136,134,133,162,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,252,222,181,157,146,140,120,229,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,199,172,162,152,126,159,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,230,200,173,159,147,138,252,255,255,255,255,255,255,255,255,255
2,25,34,47,68,77,85,92,97,98,102,106,110,113,117,119,121,123,124,125,128,127,128,129,129,129,130,130,129,27,36,50,70,79,86,93,98,100,103,106,110,115,119,120,122,125,125,126,129,130,131,131,131,130,132,132,132,28,37,53,71,81,88,96,99,101,106,106,113,112,103,117,122,123,127,130,134,132,132,133,134,133,134,133,133,29,38,56,74,83,90,98,100,102,107,114,151,138,116,113,105,108,123,117,117,133,135,135,136,135,135,135,135,32,40,61,75,84,90,96,102,109,97,129,152,146,157,155,129,98,84,99,77,80,134,139,135,136,135,135,136,33,41,62,76,86,93,92,142,149,135,137,126,110,107,124,149,124,70,41,79,114,95,126,140,137,137,137,137,32,42,64,76,87,88,117,170,141,146,155,154,139,99,59,66,123,102,50,47,100,49,95,147,136,139,139,139,34,45,66,78,88,89,151,124,100,111,120,111,123,133,95,88,76,104,114,90,39,70,131,139,138,140,140,140,36,47,67,80,85,104,138,133,134,124,104,88,117,112,119,125,80,41,98,93,42,130,143,138,139,141,142,141,37,47,71,81,92,147,148,151,141,132,126,121,125,67,40,67,44,64,69,55,82,141,139,140,139,143,143,141,38,50,73,76,142,154,122,109,87,61,69,71,56,38,21,31,110,141,134,128,143,141,142,144,142,142,144,143,37,54,69,96,169,116,70,46,22,18,20,20,30,28,20,40,143,137,141,144,142,145,147,139,140,148,144,144,38,56,64,140,146,87,51,19,8,21,18,16,27,26,14,31,139,139,140,141,149,123,89,77,73,108,147,143,42,51,98,173,103,58,31,18,16,16,15,23,22,16,10,15,134,143,142,149,101,60,72,81,82,54,133,149,45,48,142,154,84,54,39,29,15,12,18,21,17,15,22,4,104,151,149,109,61,88,100,99,76,58,140,149,44,52,149,132,77,53,38,20,8,12,17,22,21,22,23,17,40,149,141,61,90,103,96,73,77,130,152,148,43,59,149,124,78,48,24,11,10,11,19,28,29,29,34,40,28,41,87,72,96,93,57,90,152,153,149,149,44,62,152,121,73,38,19,16,10,14,26,31,37,43,51,58,57,16,57,92,82,53,46,148,154,150,152,151,43,66,154,120,83,51,31,19,10,16,28,41,53,60,67,68,71,43,73,86,66,31,92,162,150,153,153,152,43,73,149,112,84,53,37,26,14,16,29,53,69,71,76,80,82,57,66,86,59,41,138,158,154,154,154,153,45,73,144,108,85,58,45,37,20,17,35,66,78,82,87,92,85,67,53,86,47,51,159,155,155,155,156,155,48,70,136,107,85,68,54,40,22,17,41,74,84,88,89,92,81,63,54,49,48,122,162,156,159,159,158,157,49,68,127,104,87,73,55,40,26,20,45,72,78,82,81,80,71,55,38,78,145,163,158,160,160,160,159,159,52,63,119,108,86,71,52,38,28,29,52,66,68,68,70,70,59,33,85,166,159,156,160,159,159,160,160,159,52,61,117,114,87,69,49,41,36,36,60,62,63,63,63,56,35,72,153,154,153,155,158,159,159,160,160,159,51,63,130,114,85,66,56,51,44,39,56,54,54,51,37,50,99,154,155,155,156,158,159,159,160,161,158,157,46,109,130,122,89,70,63,54,46,34,35,36,35,39,91,137,157,152,154,156,157,158,159,159,161,157,161,168,70,144,88,115,96,68,54,46,36,28,26,27,15,51,155,148,148,153,154,155,157,158,158,160,159,162,161,165
15,83,96,110,118,120,124,132,141,148,153,157,162,166,170,175,179,183,187,191,194,197,199,201,202,203,205,207,207,86,98,111,119,121,123,133,143,149,154,159,164,168,172,177,182,184,189,192,194,197,200,203,202,204,207,208,209,89,99,110,118,122,124,134,143,150,156,161,165,168,173,179,182,185,189,193,197,199,202,203,204,207,209,210,211,89,100,114,119,124,129,137,143,151,159,165,167,171,174,180,182,188,192,195,199,202,203,206,209,209,210,211,212,90,102,113,121,122,127,135,142,150,156,162,168,173,178,184,187,191,193,197,200,201,203,208,209,211,212,213,214,90,100,126,162,132,130,140,138,148,158,159,158,156,162,168,181,190,194,199,203,206,208,207,208,211,214,215,216,93,103,130,161,126,118,129,136,156,164,170,175,179,170,158,158,160,170,185,182,185,199,216,211,209,215,215,217,95,106,121,114,85,91,105,114,141,158,165,189,199,179,177,174,182,181,175,185,159,141,159,209,218,212,218,217,95,109,119,122,125,129,124,121,127,138,142,167,198,202,198,195,196,206,195,180,197,170,111,101,196,224,216,218,97,110,118,123,128,138,148,156,161,163,161,155,148,165,194,223,197,163,203,163,175,204,114,100,90,199,226,218,97,110,120,124,126,134,144,152,159,162,175,176,124,102,111,140,182,149,152,145,174,218,97,114,133,97,211,221,97,110,119,122,127,135,144,151,159,156,208,173,116,100,104,125,166,155,104,105,151,180,108,106,169,107,109,233,98,110,119,123,127,136,145,152,159,157,226,177,93,105,131,159,178,153,115,112,111,106,111,126,145,115,53,159,98,112,120,122,128,137,146,153,158,169,216,228,145,128,147,161,166,138,117,118,117,113,112,133,149,113,58,59,98,113,120,123,129,137,146,155,152,201,226,222,225,179,112,92,107,101,94,99,111,123,134,145,153,128,72,52,100,114,122,124,128,139,146,156,159,198,233,215,210,216,177,90,25,42,34,42,69,107,143,141,133,116,73,64,100,113,122,125,129,138,146,156,161,174,222,231,192,187,220,176,32,14,13,18,21,55,123,132,120,104,84,78,98,112,120,123,128,137,146,155,158,167,210,215,208,172,206,137,43,19,14,28,18,50,130,145,141,131,117,97,97,108,116,120,126,133,141,151,153,187,229,207,183,171,168,92,42,22,18,31,27,44,113,144,148,143,133,112,66,71,76,79,82,85,87,92,97,110,198,234,203,150,146,138,49,21,29,30,45,54,76,116,132,136,130,113,66,68,71,69,72,74,74,70,71,69,104,154,167,163,146,135,80,34,32,30,44,60,63,89,112,120,120,108,74,74,75,77,78,80,82,82,81,88,86,84,90,99,90,87,87,44,34,26,36,60,68,76,112,120,113,98,75,74,74,76,78,80,81,81,81,85,87,87,88,87,100,100,112,82,67,62,65,76,75,71,106,116,105,93,76,76,78,78,77,79,80,80,81,83,84,84,86,85,86,117,141,138,148,132,110,134,135,117,116,121,101,87,74,76,77,79,79,79,81,82,82,85,87,85,85,87,88,82,90,139,166,144,168,186,185,179,155,142,119,85,73,74,75,76,78,80,82,82,83,84,87,89,86,87,89,91,86,93,106,132,182,204,191,183,161,132,111,95,73,74,75,77,76,80,81,81,82,83,86,88,87,87,86,90,89,88,86,94,115,134,164,141,123,109,104,121,73,73,74,76,78,80,81,81,82,84,84,84,85,85,86,87,90,90,92,89,84,86,124,106,118,138,134,113
3,180,182,184,185,189,190,191,191,192,192,192,192,192,191,191,188,202,203,139,175,189,185,185,183,181,180,179,178,182,185,186,187,190,191,192,194,194,195,194,193,194,194,193,189,205,194,129,155,195,186,185,185,183,182,180,179,183,186,187,189,191,193,194,196,196,196,196,196,195,195,194,191,204,186,129,147,196,187,187,187,185,183,181,180,184,187,189,190,193,195,196,197,198,198,198,197,197,196,196,193,204,187,129,145,196,189,189,187,186,185,183,181,186,188,190,192,194,196,198,199,199,199,199,199,199,198,197,194,207,206,145,139,195,190,190,189,187,186,184,182,188,190,192,194,196,198,199,201,202,202,202,202,200,200,199,194,212,209,145,133,194,192,190,190,188,186,185,184,189,192,194,196,199,200,202,203,203,203,203,203,202,201,201,196,215,201,137,131,196,193,192,191,189,187,186,186,190,193,196,198,201,202,204,205,206,205,205,205,203,203,203,197,216,200,139,133,199,195,194,192,190,189,187,186,192,195,198,201,202,203,206,207,207,207,207,207,206,205,204,201,225,198,141,133,199,196,196,194,192,190,189,187,193,196,200,202,204,206,207,208,209,210,209,209,208,205,206,198,186,167,124,131,203,197,196,195,193,190,189,187,194,198,201,203,205,208,209,210,211,211,211,210,208,211,227,193,139,114,98,147,208,197,198,197,194,192,190,189,195,200,202,205,208,209,210,212,213,212,212,209,208,194,191,195,160,128,86,180,209,199,200,198,196,194,191,190,197,200,204,206,208,210,212,213,214,214,210,221,221,168,121,169,215,151,118,164,197,206,202,199,197,195,193,191,197,201,204,207,210,212,213,215,211,217,189,157,201,174,135,151,220,146,129,114,141,159,201,200,198,197,196,193,198,202,205,208,211,214,214,214,226,226,189,139,163,192,150,132,190,154,144,129,153,124,179,207,198,197,196,195,199,203,207,209,212,214,214,221,228,216,205,171,139,188,149,122,162,163,154,138,150,114,171,210,199,199,197,195,199,203,207,210,212,215,214,232,228,205,212,175,133,163,148,122,155,133,125,149,132,106,169,212,200,201,198,197,199,203,207,210,212,214,214,228,222,185,189,174,127,138,146,109,177,179,112,166,155,107,150,212,200,199,198,196,201,204,208,212,213,215,217,219,219,199,189,157,111,133,134,94,174,184,114,152,159,105,135,213,200,200,197,195,201,205,208,211,213,215,217,221,229,215,197,149,129,136,144,115,161,165,145,146,137,102,169,210,200,200,201,204,200,205,210,212,213,215,216,221,232,220,209,152,136,136,154,164,205,187,164,148,109,123,211,210,211,209,192,159,202,207,212,214,216,219,221,223,232,228,206,165,150,142,192,214,196,171,142,136,106,176,216,184,163,141,105,85,162,162,164,165,166,166,164,164,219,224,199,183,160,153,200,207,180,155,136,126,107,131,114,85,73,70,76,79,142,143,143,143,142,141,142,130,190,224,200,185,171,146,174,183,159,140,127,112,88,72,71,73,78,76,70,73,148,149,148,148,148,149,157,132,130,222,201,185,170,139,140,139,134,124,111,88,75,77,78,72,72,79,75,70,149,149,148,147,147,147,149,128,84,149,195,187,154,125,126,124,126,105,76,88,70,67,75,74,68,71,77,76,149,151,151,150,149,150,145,108,96,91,123,146,131,127,121,116,106,74,53,75,83,60,66,73,71,69,72,76,150,150,150,149,148,151,130,98,99,97,87,97,120,114,99,92,75,55,54,65,83,71,57,69,72,70,69,75
23,184,185,186,187,188,188,188,189,188,189,189,189,189,189,189,189,189,188,188,187,187,186,186,186,184,184,184,174,186,187,187,187,189,190,190,190,191,192,191,191,191,191,191,192,192,190,188,189,188,188,187,186,185,186,184,184,187,188,189,191,191,192,192,192,192,193,193,193,193,193,193,193,193,193,193,190,190,189,189,187,188,187,187,186,189,191,192,192,192,192,192,193,193,194,194,193,194,194,194,194,195,195,194,193,193,192,192,192,191,190,189,188,191,192,192,193,194,194,194,195,194,195,195,195,195,195,194,194,195,196,195,195,194,189,189,189,187,192,191,190,192,193,194,195,196,196,196,196,195,196,196,198,195,195,195,196,196,195,203,212,205,196,187,153,127,196,193,192,193,194,195,195,196,197,197,196,197,197,198,199,198,197,198,198,198,210,220,213,171,157,152,117,140,197,194,194,195,195,196,198,198,199,200,200,200,200,200,199,201,200,199,201,218,219,194,165,106,141,162,176,196,196,196,196,196,196,197,199,200,200,200,200,201,200,200,200,201,200,198,216,229,194,117,117,168,202,199,198,198,196,196,196,197,198,199,200,200,200,201,200,201,201,201,201,202,199,206,226,227,158,96,185,205,201,199,200,200,196,198,198,198,199,200,200,200,201,202,201,201,202,202,203,204,201,218,225,219,166,172,201,180,192,201,187,187,202,200,200,199,199,200,201,201,201,202,203,202,201,203,202,204,204,217,215,203,214,219,212,156,142,184,174,147,203,201,199,199,200,201,201,202,201,201,203,203,203,197,182,185,199,204,206,135,185,186,189,151,104,163,178,123,203,202,201,200,201,201,202,204,203,202,204,204,211,207,184,160,172,187,208,188,212,211,194,141,87,129,154,115,206,203,201,201,202,203,203,203,203,204,205,207,221,220,214,190,178,168,165,156,164,186,193,155,88,76,103,90,190,206,203,199,201,204,204,203,204,205,206,205,218,228,219,212,193,173,186,172,152,145,149,149,109,69,80,80,137,210,204,198,200,202,202,202,203,203,205,202,214,230,216,209,181,142,158,185,180,163,144,103,118,79,70,85,110,207,204,198,201,202,202,202,203,204,206,200,213,228,223,216,153,114,100,150,156,144,120,84,113,86,64,81,150,208,202,201,202,202,203,203,204,204,207,199,214,229,232,213,148,94,62,103,167,128,81,93,126,92,66,99,195,204,202,201,201,203,204,203,205,205,206,196,215,232,227,196,152,105,47,123,148,99,56,118,131,93,71,159,209,203,203,200,201,201,202,203,205,205,205,197,219,232,216,182,144,109,56,108,112,48,58,133,118,78,102,205,206,204,204,201,201,201,202,203,204,206,204,202,222,228,206,173,140,108,54,91,87,34,95,127,90,71,163,211,205,206,205,204,203,204,204,206,208,208,203,208,228,222,194,167,141,112,62,83,72,46,113,103,73,92,202,208,206,206,205,171,173,175,179,183,188,193,189,210,219,209,180,157,139,114,66,74,71,72,91,87,78,158,214,211,211,210,209,102,101,100,103,107,106,104,128,209,213,198,165,153,152,112,74,64,77,100,95,82,89,153,162,164,167,170,172,103,102,101,101,102,102,98,125,206,208,189,162,167,164,107,86,70,89,108,105,91,95,93,93,97,94,93,101,103,104,104,103,104,104,101,138,209,201,190,172,177,165,116,93,81,94,102,98,96,105,102,104,109,129,162,188,103,105,105,105,106,106,99,152,218,212,204,186,183,164,125,96,85,90,97,95,106,115,133,170,197,211,205,207
14,216,218,218,218,218,219,219,219,219,218,218,218,218,219,218,216,216,214,212,211,210,209,208,207,206,205,202,200,220,221,221,222,222,221,222,223,221,221,222,222,222,222,221,219,219,216,215,215,212,213,212,210,209,207,205,204,222,223,224,225,224,223,225,225,223,223,224,224,224,222,225,226,223,221,221,221,218,216,214,215,213,212,209,207,225,227,226,227,229,228,228,228,228,227,227,228,228,226,215,204,215,220,215,212,213,219,224,214,216,214,214,212,229,230,229,230,231,231,230,230,230,229,231,231,229,221,203,179,188,193,186,192,185,150,190,231,217,216,215,213,231,232,232,232,233,234,233,233,233,231,230,207,202,215,222,217,211,192,144,156,180,146,112,171,227,222,217,215,234,234,235,234,236,236,233,234,236,233,231,230,225,231,231,221,211,198,175,139,152,167,134,127,172,209,221,217,236,236,237,236,237,237,236,236,236,234,234,218,197,187,174,156,129,132,174,179,179,187,133,141,166,134,217,225,238,238,239,239,239,239,239,238,238,239,232,196,191,195,162,128,108,108,105,138,159,139,103,87,121,88,120,224,239,240,240,239,240,241,240,241,237,218,220,233,229,210,185,164,164,195,132,187,209,176,205,154,90,84,77,135,243,244,242,242,242,242,243,244,236,222,227,220,205,170,147,140,138,127,138,237,243,243,237,251,193,77,98,104,245,245,244,244,244,243,245,246,231,223,215,179,142,85,65,68,66,107,230,240,236,236,237,232,128,111,129,123,245,245,245,245,246,246,245,243,231,219,163,106,70,60,66,71,53,175,255,236,241,237,250,170,110,149,140,109,246,247,248,246,249,248,249,242,234,212,144,85,72,75,78,86,69,196,252,241,241,245,223,122,137,145,130,96,249,249,249,249,250,249,251,243,232,206,147,80,77,78,76,78,69,227,249,243,241,255,161,109,137,138,102,150,252,250,251,251,251,252,253,241,233,190,113,78,94,76,73,75,56,199,255,240,251,222,119,115,122,123,93,219,252,252,252,252,252,254,251,237,233,186,127,108,91,75,76,71,56,76,189,252,249,132,124,132,120,85,167,249,254,255,254,254,252,255,247,236,237,202,144,111,84,76,82,81,83,83,75,147,147,101,130,131,102,128,248,237,254,255,255,255,254,255,248,232,236,196,144,117,84,79,90,98,102,108,114,110,96,115,128,115,102,228,248,239,255,255,255,255,255,255,248,226,230,196,165,120,80,82,92,108,109,115,122,134,130,109,135,97,179,255,241,242,255,255,255,255,255,255,249,220,226,206,165,118,91,78,94,113,116,115,122,138,138,121,105,107,243,249,246,244,255,255,255,255,255,255,249,224,234,208,174,139,103,78,96,117,119,121,130,145,144,129,86,176,255,246,247,246,255,255,255,255,255,255,248,226,237,206,170,134,111,81,91,121,120,126,138,146,140,107,124,255,251,250,248,247,255,255,255,255,255,255,246,229,232,196,163,138,117,92,84,122,120,126,141,141,132,84,185,255,249,252,250,247,255,255,255,255,255,255,245,226,229,190,158,143,120,99,82,111,120,125,135,132,112,95,245,255,252,252,250,250,255,255,255,255,255,255,240,220,224,186,159,145,118,100,83,102,121,119,121,122,75,180,255,252,254,252,251,249,255,255,255,255,255,255,242,214,212,184,158,133,112,100,86,95,114,114,114,86,127,255,253,253,253,252,249,248,255,255,255,255,255,255,239,211,204,182,151,129,113,101,89,94,105,108,91,110,249,255,253,253,253,253,251,248
24,161,164,167,171,172,174,176,178,180,180,180,181,181,182,182,182,182,183,184,183,183,183,183,183,182,181,180,179,163,167,171,173,175,176,180,181,181,182,183,183,184,184,185,186,186,186,186,186,186,186,186,186,185,183,182,182,165,168,172,175,178,181,182,183,184,185,185,186,187,187,187,188,187,188,186,187,187,188,188,188,187,186,185,185,166,170,175,178,181,183,184,186,187,187,187,187,188,189,190,190,190,190,189,190,190,190,191,190,189,188,188,186,171,176,176,181,184,185,186,188,188,189,190,191,192,192,193,192,192,193,193,194,193,192,193,192,190,190,189,187,154,143,184,182,185,187,189,190,190,191,192,193,193,193,194,194,194,195,195,195,195,195,195,194,193,191,191,191,144,94,184,185,187,189,191,193,192,192,195,196,197,195,196,196,198,198,196,197,198,197,196,199,199,197,198,193,143,86,177,187,189,191,192,195,198,200,197,190,186,202,198,199,199,199,199,200,199,200,200,194,181,152,154,201,131,73,179,191,191,193,198,194,171,169,199,168,131,146,205,200,199,200,201,201,201,201,193,164,141,87,136,206,121,71,178,194,188,153,157,199,156,118,171,178,152,111,172,208,200,200,201,201,203,201,192,159,95,120,205,200,136,79,167,198,202,166,141,191,173,151,149,190,174,139,132,211,201,203,203,204,202,199,186,128,95,203,203,200,147,97,155,199,209,205,167,156,197,175,134,165,190,148,109,196,206,204,206,206,201,196,166,83,140,214,201,203,169,154,165,192,190,212,196,136,164,196,150,124,185,136,83,189,215,207,203,193,194,177,107,92,204,207,204,203,188,185,175,190,176,166,202,127,97,199,170,99,117,106,64,165,189,184,174,164,167,121,79,189,215,207,206,206,182,194,188,185,183,167,163,121,73,143,142,82,44,82,109,155,179,182,164,138,119,76,161,220,207,208,208,207,186,200,188,186,183,162,150,129,98,77,94,61,47,121,186,199,194,178,148,118,87,120,222,209,209,209,210,208,188,198,188,155,164,159,145,137,118,102,105,102,154,186,198,195,180,161,127,90,79,200,217,211,212,211,211,210,190,194,196,174,145,148,174,158,151,133,126,176,204,200,195,185,168,142,106,66,150,224,212,215,214,213,212,211,192,193,206,206,174,147,150,167,187,186,188,212,205,199,188,172,148,117,73,122,224,213,215,215,214,213,213,213,190,192,198,209,190,164,146,157,174,203,210,206,206,199,178,151,122,85,88,210,218,215,215,215,215,215,214,213,191,196,194,204,209,180,158,159,179,205,211,213,212,190,157,127,100,68,168,223,213,216,215,214,214,214,213,210,191,196,196,208,220,208,177,174,182,212,223,215,200,166,133,104,73,106,222,215,216,216,215,215,214,213,213,216,191,195,197,198,211,221,196,182,185,208,218,205,176,140,110,86,64,184,224,216,219,219,217,217,214,217,209,204,194,195,201,190,186,207,197,186,186,190,192,186,158,120,90,61,107,224,214,217,218,218,216,217,220,206,199,135,187,192,196,200,182,184,190,184,179,163,160,168,148,108,80,58,173,231,223,223,223,223,221,222,200,192,217,184,111,116,117,124,123,164,189,176,162,145,147,158,137,109,82,68,157,184,185,188,191,199,203,196,201,183,181,127,101,100,99,100,94,125,179,145,140,141,157,169,135,116,98,71,90,101,99,101,102,104,109,183,217,177,172,128,104,107,113,112,109,107,159,140,149,163,166,171,139,112,108,76,99,116,115,115,110,110,149,151,198,208,102,158
19,172,173,176,179,181,181,184,185,186,186,186,187,187,186,186,185,185,185,185,183,182,183,182,179,178,178,176,174,173,175,177,180,183,184,185,186,188,190,189,188,190,189,189,187,187,187,186,186,185,185,184,183,181,182,179,179,176,178,181,184,186,186,189,191,192,192,191,191,191,193,192,191,190,188,189,189,187,185,186,186,184,183,180,180,177,180,183,185,187,189,191,191,193,193,193,193,193,194,193,192,194,191,191,191,188,188,187,187,186,186,184,182,178,182,184,186,187,191,192,193,195,196,195,196,196,196,195,193,195,194,192,191,191,191,189,189,186,186,185,183,180,184,185,188,188,192,194,196,198,199,199,199,200,198,196,196,195,196,194,194,193,191,192,191,189,189,187,185,183,185,189,190,191,194,195,198,200,200,200,200,199,197,199,191,203,198,195,196,195,194,192,192,192,190,189,188,184,186,190,193,192,196,198,200,202,202,201,203,210,201,218,175,132,203,197,195,197,196,196,194,192,190,190,190,185,188,191,194,196,199,200,202,202,204,206,174,149,180,224,203,75,153,212,206,203,202,200,198,195,197,194,191,186,189,193,196,200,201,202,202,204,202,189,146,96,100,122,137,114,97,127,141,174,180,186,189,194,187,180,189,187,192,195,199,201,201,204,206,203,188,184,192,184,119,52,84,118,106,103,83,96,119,130,112,141,117,124,183,191,193,196,199,200,203,201,197,176,184,202,205,163,88,48,41,69,86,97,84,88,111,118,113,119,122,117,166,191,193,198,200,203,201,198,186,180,184,189,190,166,111,48,39,37,43,48,42,49,58,71,72,70,77,83,106,192,193,198,201,201,198,197,193,189,176,188,198,199,153,69,36,43,28,56,103,128,131,129,128,140,144,158,181,193,196,200,202,201,198,197,195,192,188,197,202,196,155,74,36,43,26,130,231,215,215,213,215,215,212,210,205,195,197,196,201,198,201,198,198,200,195,193,192,183,163,94,36,38,40,48,202,213,207,205,204,205,204,201,204,191,194,207,207,205,201,202,204,203,193,185,199,195,180,116,41,35,46,19,114,228,207,208,209,207,206,205,205,194,225,229,212,203,205,206,203,193,190,197,204,198,158,104,53,32,50,22,82,228,208,211,211,210,208,207,206,224,234,220,206,200,202,197,192,188,187,179,179,167,128,95,65,43,46,29,158,226,211,211,211,212,210,208,207,233,228,209,201,199,196,192,190,181,178,167,161,153,130,94,70,60,47,14,165,229,214,213,212,211,211,210,208,228,223,211,195,187,189,184,186,183,174,166,155,146,155,101,66,67,48,38,201,222,215,215,214,212,211,210,209,225,219,206,189,173,175,173,174,180,168,157,132,127,148,82,58,74,46,74,234,214,216,216,215,213,212,212,211,219,212,193,172,156,153,157,155,164,150,125,96,97,84,29,56,78,35,128,230,215,216,216,216,215,214,212,211,206,195,170,152,140,119,125,133,139,114,86,82,76,37,49,66,59,140,225,221,218,217,218,217,216,215,213,212,205,167,160,150,118,94,81,94,99,84,68,59,40,34,59,100,172,230,219,220,218,218,218,218,216,216,215,212,162,147,163,144,104,69,61,60,63,49,90,165,151,156,188,218,229,219,220,219,219,218,218,217,215,214,213,211,93,149,157,126,87,42,17,18,80,151,212,233,232,230,227,222,220,221,221,220,220,219,218,215,213,213,212,210,26,80,77,39,12,0,0,0,190,240,220,221,221,222,221,222,221,222,222,221,221,220,218,217,216,214,212,212
15,47,49,49,50,52,53,55,56,59,63,71,81,91,99,106,111,113,115,116,120,124,127,129,131,134,136,137,139,50,49,48,50,52,55,54,57,59,62,70,82,92,100,104,110,113,115,118,120,124,128,131,133,135,137,138,141,52,49,49,49,51,55,56,58,59,63,74,83,91,100,105,110,114,117,120,121,125,128,131,133,135,137,140,141,52,49,49,50,51,54,49,55,61,64,74,83,91,99,106,111,115,118,120,122,127,129,133,134,137,140,143,145,51,49,49,50,49,50,92,73,56,60,74,85,95,100,106,113,115,117,119,122,126,128,133,135,137,141,143,145,51,49,49,51,43,69,159,130,104,82,75,82,91,101,110,115,117,117,119,123,126,131,133,136,139,141,142,144,51,50,49,50,46,58,128,134,119,125,110,106,95,91,98,106,111,116,120,126,131,132,134,136,140,141,142,146,50,50,50,51,51,48,65,96,82,98,111,118,117,112,98,98,96,99,103,106,114,125,134,141,139,143,144,146,50,49,50,50,51,53,52,58,62,73,85,83,105,118,112,108,104,108,111,104,87,83,73,111,148,141,147,148,50,49,50,50,51,53,56,58,58,66,73,69,77,98,97,94,88,102,126,130,110,91,71,42,112,153,143,149,50,49,49,50,50,52,55,58,58,66,79,88,93,93,92,91,74,100,123,127,116,105,98,65,52,131,150,146,51,49,49,49,51,53,54,57,58,65,78,86,97,105,108,107,101,133,129,122,125,122,112,94,67,56,139,152,51,49,49,49,50,53,55,56,59,67,73,88,97,101,113,116,134,156,115,103,137,119,124,117,91,50,61,148,50,49,50,49,51,54,54,57,60,61,103,109,103,104,95,113,148,112,100,76,142,102,133,134,96,68,40,76,49,49,49,49,51,51,53,56,57,63,134,125,125,132,118,88,94,77,46,54,131,86,136,134,98,73,53,38,49,48,49,49,49,52,53,55,58,66,100,103,130,152,133,92,91,93,64,65,103,102,129,127,99,78,55,47,49,48,48,48,47,51,53,55,58,65,77,91,114,138,111,94,113,106,102,103,97,95,82,98,91,72,52,47,47,47,46,47,47,48,49,52,55,65,78,86,99,98,79,98,114,107,107,119,116,91,54,58,71,61,55,51,46,43,45,45,47,48,48,50,54,65,78,87,86,128,105,72,87,108,115,119,116,84,53,51,56,54,57,58,46,43,43,44,46,47,49,51,55,64,77,90,83,149,146,74,22,39,94,107,108,79,55,57,56,54,59,59,46,44,43,43,45,45,49,50,54,66,77,89,87,135,134,70,24,13,29,86,85,61,53,57,58,57,60,60,46,43,42,42,45,46,48,48,54,65,77,89,87,133,136,54,47,53,18,55,84,59,57,60,65,63,61,57,43,42,40,41,43,46,48,46,52,61,75,87,88,126,134,40,89,74,56,63,79,93,79,76,68,64,59,55,42,41,39,39,42,43,46,47,51,62,73,84,84,126,141,27,89,124,50,94,83,87,67,62,58,57,57,57,36,35,33,32,36,36,37,38,42,55,69,81,79,134,129,28,73,149,65,63,130,54,56,51,41,45,47,47,92,88,85,82,79,78,76,77,79,83,90,95,95,118,77,44,106,128,67,81,137,107,124,95,32,29,31,30,73,72,71,70,68,70,72,75,75,73,70,66,65,71,48,57,79,75,65,77,81,85,82,82,53,34,34,43,62,61,61,59,59,59,60,59,58,60,60,55,54,58,63,64,59,58,63,62,59,58,58,58,63,59,64,62
10,91,101,104,108,114,122,130,135,139,144,148,151,155,158,159,162,165,166,168,168,165,171,170,171,170,169,169,167,95,103,108,111,118,125,133,139,142,147,150,154,158,159,162,167,169,170,168,178,186,151,175,175,174,172,173,171,95,106,109,111,120,128,136,141,145,149,152,157,160,162,167,169,170,171,164,205,211,119,172,177,177,176,175,174,96,106,109,114,123,130,136,142,147,151,154,158,162,165,170,172,174,176,168,213,221,121,165,182,178,179,177,177,100,108,111,115,124,133,140,144,149,152,156,160,165,169,171,175,177,179,172,206,239,137,157,187,180,181,182,181,101,110,113,117,126,134,141,145,150,155,159,163,168,171,173,175,178,181,176,201,255,166,143,192,183,185,184,184,104,112,115,121,129,137,143,149,155,159,162,168,171,172,175,177,179,183,179,199,255,189,128,193,187,187,187,187,105,114,117,123,131,138,145,152,158,162,165,170,172,176,176,179,185,186,182,195,255,202,122,192,190,189,189,189,107,115,117,124,133,141,147,153,160,161,166,173,175,173,192,192,145,189,187,194,255,207,116,187,194,191,191,191,110,118,122,125,135,143,149,154,159,171,170,167,176,178,215,212,107,136,196,197,255,216,116,180,200,194,196,195,112,119,122,128,138,145,150,157,157,209,166,104,104,115,169,213,181,140,172,206,253,210,120,164,203,196,198,197,112,120,123,131,140,147,153,160,163,182,138,88,81,91,89,185,242,186,115,209,227,203,135,146,208,197,199,199,114,122,125,132,141,149,156,161,167,172,159,136,119,112,104,119,215,196,110,151,175,178,142,134,210,201,202,202,116,123,128,135,144,152,158,164,170,174,183,178,213,206,96,75,193,231,162,86,98,129,134,111,202,204,203,203,118,124,130,137,145,154,161,166,172,177,178,190,255,204,69,52,141,255,196,111,70,98,116,94,184,211,204,205,119,126,131,138,146,154,162,168,173,181,175,230,255,193,83,83,76,247,226,158,89,81,114,93,172,215,204,206,121,127,131,139,147,156,163,169,176,182,179,226,255,233,110,44,96,235,247,188,114,73,107,95,177,219,208,210,122,129,131,140,150,158,165,171,177,182,184,193,240,254,153,91,127,234,246,184,118,84,96,90,184,221,211,212,123,129,134,142,152,160,167,172,178,183,187,186,217,223,149,134,144,246,237,201,140,95,93,86,191,220,213,215,125,131,135,144,154,160,167,174,180,185,188,193,191,213,212,164,185,255,233,212,166,111,92,84,198,220,215,217,127,133,137,145,154,161,169,175,182,186,191,197,194,237,255,223,225,255,238,203,170,126,97,81,201,220,216,217,127,131,136,145,154,162,169,175,181,187,191,197,196,224,255,243,246,255,238,203,171,136,105,83,203,222,220,220,126,131,135,144,154,160,167,174,180,185,191,195,196,211,255,255,250,255,236,202,166,144,113,85,204,222,218,218,128,133,136,146,157,164,170,176,182,187,192,197,199,208,255,255,255,255,232,203,175,152,118,80,203,223,220,220,127,133,137,147,157,164,171,178,184,189,194,198,202,202,250,255,255,255,230,212,184,149,114,83,213,223,221,222,128,133,139,148,159,165,172,178,184,190,194,199,203,201,234,255,251,246,223,225,197,145,103,93,225,220,224,225,128,134,139,148,157,164,172,180,187,191,196,200,204,210,226,255,233,231,228,227,211,146,92,96,231,228,224,225,123,130,137,145,155,162,170,180,184,190,195,198,206,166,85,207,230,242,240,224,215,141,91,37,45,180,233,223
24,162,163,164,164,165,166,166,167,166,166,166,166,166,166,165,164,163,161,161,162,160,158,158,158,156,155,152,151,165,166,167,168,169,169,169,169,169,169,169,169,169,169,168,168,167,166,165,164,162,162,161,159,158,157,156,154,168,169,171,171,171,170,172,172,172,171,171,171,171,171,171,170,170,169,167,166,165,164,165,165,161,160,159,157,171,172,173,174,174,175,175,175,174,174,174,174,174,174,174,172,171,171,170,169,168,169,150,145,168,162,161,160,174,174,175,175,175,176,176,176,176,175,176,175,175,176,176,175,174,173,172,172,169,173,143,100,167,165,163,161,176,177,177,178,179,178,178,179,179,183,178,177,177,177,177,176,176,175,175,174,171,179,146,96,165,169,165,163,179,179,179,181,182,181,181,183,173,145,181,181,180,181,180,179,177,177,176,176,173,182,139,100,171,170,168,165,180,181,182,182,182,182,182,184,166,106,143,190,182,184,183,182,181,180,179,177,178,186,131,108,177,170,170,168,182,183,183,184,184,183,183,186,167,125,105,188,184,185,185,184,183,182,181,177,185,184,125,119,182,171,171,169,184,185,185,186,186,186,186,187,182,146,93,171,191,185,186,185,183,183,183,183,190,169,104,133,186,174,174,172,186,187,187,188,188,188,188,187,188,161,97,143,198,186,187,189,189,187,183,173,193,163,87,152,185,177,177,175,187,188,189,189,189,189,189,188,191,175,124,109,196,188,190,175,158,183,175,124,116,152,97,177,182,179,178,176,189,189,190,190,190,190,191,190,193,182,143,87,175,197,180,161,138,136,143,124,93,98,112,189,182,182,180,178,190,192,192,192,193,193,193,193,194,188,154,99,137,203,170,172,150,139,128,141,141,69,124,195,181,183,181,179,192,193,194,194,194,194,194,194,194,192,171,138,105,176,158,183,151,142,144,148,133,72,146,195,184,183,182,181,193,194,194,195,196,195,195,195,193,195,183,151,99,129,134,178,169,116,103,130,148,91,124,198,185,186,184,182,194,195,195,196,196,196,196,196,197,199,189,166,151,126,118,147,169,106,52,122,164,115,86,187,188,186,185,183,195,197,198,198,198,198,198,198,198,200,190,188,167,115,85,125,150,91,58,106,172,153,87,131,198,185,187,186,197,199,199,199,200,200,200,200,199,201,194,186,149,114,94,127,140,91,72,169,183,168,105,92,195,187,187,186,199,200,200,201,201,201,201,201,202,201,200,185,168,157,119,123,153,104,135,195,178,152,90,101,197,188,188,187,200,201,201,201,202,203,202,202,203,203,203,186,181,171,125,121,119,128,196,189,161,141,75,120,203,189,189,189,199,200,200,201,202,202,202,203,202,203,204,183,180,181,147,123,103,181,198,183,155,132,72,142,204,188,190,189,200,200,201,202,202,201,202,202,203,204,204,188,174,172,159,134,110,181,190,174,150,121,70,161,199,188,189,188,201,201,201,202,202,202,203,204,205,203,206,189,168,168,166,151,116,166,192,168,137,103,72,179,196,190,189,188,202,202,202,202,203,204,204,204,205,205,207,197,171,172,166,166,125,149,187,158,124,80,90,200,193,193,191,188,202,202,202,204,204,205,205,203,204,206,205,205,180,176,166,170,127,119,166,131,101,57,124,207,192,193,191,191,197,199,201,204,205,207,207,207,210,211,210,214,188,179,168,158,130,110,133,121,86,57,172,203,194,196,196,183,126,129,132,136,139,143,148,151,154,159,162,164,179,183,162,150,142,118,121,127,70,92,195,187,189,179,136,89
13,187,188,189,188,187,188,189,190,189,188,188,190,190,191,191,190,190,191,191,191,191,190,190,189,189,189,188,188,189,190,190,189,189,190,191,190,190,190,191,190,190,192,193,192,193,193,192,191,193,192,190,191,192,191,189,188,189,191,190,191,191,191,191,191,192,191,192,192,192,192,192,191,191,190,194,196,194,193,191,192,192,191,190,190,189,190,191,191,191,193,192,193,191,191,192,194,194,192,194,201,199,175,154,180,188,193,196,193,193,192,192,192,189,190,192,192,191,193,193,192,192,191,192,194,191,200,220,221,217,188,146,113,130,134,182,197,193,193,192,192,190,190,191,192,192,192,192,193,195,194,193,193,193,199,193,205,216,197,152,111,98,108,127,205,191,193,193,193,191,191,192,192,193,193,193,194,195,192,197,185,166,186,165,158,193,199,173,123,106,152,123,197,194,194,195,194,191,192,192,193,194,194,194,195,194,197,218,185,147,176,187,181,192,187,189,129,101,130,117,195,196,195,196,194,191,192,192,193,193,194,195,194,190,201,225,193,170,141,158,189,194,175,137,103,72,128,185,196,197,196,196,196,191,193,192,193,194,196,191,200,198,147,159,204,188,156,92,125,183,182,153,136,110,109,200,198,197,196,196,195,191,192,194,193,193,190,197,218,193,132,102,176,209,171,110,51,119,150,161,183,168,110,144,208,195,197,196,196,191,191,193,193,192,201,219,203,175,141,105,138,215,170,136,74,66,75,171,201,188,155,106,185,200,196,196,196,192,191,192,191,197,213,195,176,177,155,123,101,211,179,159,105,72,72,134,212,199,174,123,123,204,195,195,195,193,192,193,192,208,199,164,159,185,163,137,76,165,206,174,139,70,80,124,203,205,175,146,105,172,203,196,196,193,193,193,194,211,205,181,153,186,168,146,113,75,194,195,163,111,101,201,195,193,171,152,112,151,208,196,197,193,192,191,195,207,197,183,154,153,175,173,149,67,95,200,187,177,133,198,194,172,146,135,103,160,206,196,197,191,191,192,192,209,213,196,175,146,148,180,159,143,65,146,196,174,178,193,180,162,136,110,97,184,202,197,196,196,197,198,196,207,216,205,185,172,156,158,156,174,119,173,210,197,204,187,171,153,131,104,111,199,198,199,197,155,158,162,160,193,220,211,195,179,172,174,159,134,143,205,216,216,196,184,168,147,123,94,144,209,202,203,202,103,102,105,93,156,224,210,202,189,178,181,181,154,144,194,214,212,196,171,159,141,114,96,130,156,157,160,160,108,108,109,102,124,214,205,205,202,190,182,179,170,137,164,211,204,190,168,143,129,107,103,102,96,94,95,102,108,108,108,110,102,186,205,202,205,202,191,180,169,152,139,195,193,178,161,134,118,105,99,102,109,128,151,175,107,109,110,112,101,136,208,198,206,206,193,181,165,156,141,164,182,165,143,129,114,96,109,166,185,198,203,203,108,109,109,110,113,101,172,207,202,199,184,172,161,151,141,143,162,156,138,124,111,86,163,218,198,191,184,192,108,109,109,108,112,103,123,208,197,183,171,164,157,148,131,130,150,158,145,115,99,98,201,203,189,180,162,157,108,109,109,108,107,110,103,185,202,172,159,161,155,144,126,117,155,168,136,107,86,146,215,197,184,150,141,145,108,108,109,107,107,113,100,164,207,180,175,170,156,140,128,115,162,161,117,99,96,201,210,210,191,142,117,142,108,109,110,107,107,112,99,156,212,188,187,178,160,144,134,114,163,146,110,88,127,212,199,218,207,156,109,125
7,49,61,77,105,118,128,134,137,139,143,146,148,149,150,152,153,153,152,152,150,148,148,147,145,143,141,138,136,49,62,79,107,120,129,135,138,141,146,148,150,152,153,155,155,155,155,154,153,151,151,149,147,145,144,140,139,51,63,81,108,121,130,136,140,144,146,149,152,154,155,156,157,158,158,156,155,155,153,151,149,147,146,143,141,54,64,83,109,121,132,138,141,144,148,152,154,155,157,158,160,160,160,159,157,156,154,152,151,150,149,147,144,55,66,84,111,122,133,139,143,146,150,154,155,157,157,158,161,161,161,160,157,157,156,155,153,152,151,148,146,56,66,86,112,123,133,141,144,147,151,155,156,158,159,160,162,164,164,165,165,164,162,161,156,154,152,149,147,57,67,86,113,124,135,141,144,146,151,156,159,162,165,164,163,160,158,152,139,139,140,151,160,156,154,153,150,58,68,87,113,125,135,143,149,150,151,150,149,139,131,121,97,99,103,94,84,131,135,106,166,157,156,155,152,59,69,89,115,126,135,141,127,116,110,113,111,95,87,81,63,77,67,69,73,86,80,96,153,161,158,154,152,60,69,91,114,123,143,130,87,89,98,97,94,87,77,77,75,70,78,78,73,65,58,74,98,115,162,155,154,60,71,90,116,140,144,115,75,62,63,70,82,93,99,101,81,59,89,84,66,60,48,60,80,73,159,158,155,62,66,100,140,139,124,115,100,92,96,109,110,104,97,87,59,47,54,47,38,41,43,51,71,122,165,157,156,54,91,143,138,128,130,113,93,87,92,99,87,81,73,50,40,60,86,109,128,145,154,162,167,169,163,160,157,92,151,143,135,134,119,94,50,51,65,53,37,30,41,113,152,166,180,182,179,177,173,171,167,166,164,161,158,152,149,139,137,114,96,76,39,39,29,10,3,10,15,23,106,184,169,170,171,171,171,171,169,167,165,162,159,142,141,142,123,102,91,82,71,45,24,27,30,27,23,1,43,183,172,174,174,173,172,172,171,168,165,164,161,140,143,125,99,90,85,98,104,58,26,31,30,27,25,17,22,164,179,174,174,174,173,173,171,169,165,163,161,139,120,93,81,80,77,82,71,32,16,5,10,20,24,10,9,151,181,174,175,174,173,173,171,169,166,164,162,112,92,85,83,80,65,54,42,27,12,11,33,39,25,24,150,179,176,176,176,174,173,172,171,170,167,164,162,90,89,82,73,61,46,39,51,51,32,28,24,19,23,116,182,172,173,174,173,172,172,171,168,167,165,163,160,89,77,62,55,51,49,55,68,52,18,29,71,112,156,177,170,173,174,172,171,172,171,170,169,166,164,161,157,79,70,64,64,59,49,44,35,20,60,141,173,175,173,170,172,172,173,172,171,171,171,169,169,166,164,159,154,43,41,47,44,36,32,34,66,116,158,165,161,164,168,170,171,171,172,172,173,172,171,170,169,166,164,161,162,12,7,0,11,111,112,137,156,162,156,160,165,167,169,171,172,172,171,171,169,168,166,164,160,160,161,156,105,14,6,0,14,128,106,106,99,97,98,98,96,94,94,95,95,90,86,86,84,81,76,72,75,58,33,15,0,3,0,0,18,66,56,59,60,60,62,60,60,62,61,61,59,59,60,57,55,54,53,54,36,0,0,0,0,0,0,0,39,76,70,69,68,69,69,68,68,68,68,68,67,67,68,67,63,62,52,11,0,0,0,0,0,0,0,0,25,72,67,68,68,68,68,69,68,68,67,67,67,63,61,61,61,34,0,0,0,0,0,0,0
21,2,55,73,80,90,105,124,135,145,151,156,160,163,166,169,179,179,180,182,183,186,189,190,190,190,192,192,192,9,59,73,81,91,107,126,137,147,152,156,160,163,175,173,140,179,182,185,187,188,190,191,193,193,194,194,194,16,63,74,83,92,111,129,140,148,153,159,165,160,199,182,83,168,189,186,189,191,193,195,196,196,196,196,197,24,67,76,85,93,113,131,141,149,156,161,166,162,201,184,94,160,193,189,191,191,194,196,196,197,197,198,199,34,70,76,87,98,116,133,142,150,157,163,167,163,202,181,97,152,196,189,194,195,197,200,200,199,204,202,202,41,72,77,88,99,119,134,146,153,158,165,171,164,202,189,108,146,201,190,195,198,200,203,200,145,159,212,204,50,73,79,90,102,123,136,148,155,160,167,171,168,200,192,118,133,204,195,198,200,200,206,180,107,138,216,204,57,73,82,92,104,124,137,148,157,164,169,171,169,198,189,125,116,202,196,200,202,209,201,153,104,194,211,207,62,74,84,92,105,127,139,148,157,165,170,171,171,206,204,127,110,202,197,200,203,212,186,121,142,218,208,210,66,76,85,94,108,131,141,151,158,165,170,175,174,214,211,141,119,204,199,203,205,192,156,109,201,214,211,211,70,78,85,95,111,131,142,153,160,166,170,174,169,200,190,134,113,200,198,206,207,182,113,147,223,211,213,213,71,78,87,96,113,132,144,153,160,168,173,213,168,153,153,110,108,200,201,207,207,162,105,203,216,213,214,214,72,78,89,98,115,134,144,153,164,165,180,222,161,111,102,87,112,181,191,198,190,109,152,224,212,216,216,215,74,80,90,98,117,136,146,155,164,168,211,170,137,107,69,82,115,163,178,173,135,102,212,215,215,216,217,216,74,81,90,98,119,138,147,158,158,210,226,194,157,135,79,68,99,135,152,136,87,163,227,213,217,218,217,218,75,81,91,101,122,136,147,157,164,221,211,234,209,161,95,67,93,110,131,108,103,221,217,217,218,218,218,218,75,82,93,103,123,137,148,151,186,191,189,226,210,130,89,76,82,98,109,84,161,228,217,219,220,220,220,220,75,83,94,104,127,138,153,153,207,203,162,127,165,129,97,81,77,85,88,81,200,222,220,220,220,220,220,220,77,84,94,105,126,138,152,157,210,166,124,106,155,152,108,82,79,76,81,84,206,221,221,222,223,223,222,222,78,87,93,105,127,140,150,167,223,175,168,147,147,180,120,97,86,79,74,85,210,224,221,222,223,225,224,224,78,87,95,106,129,142,148,177,222,191,173,137,219,219,138,126,93,74,73,96,218,222,222,223,223,224,224,225,78,87,97,109,130,142,147,182,236,205,158,175,255,202,145,130,95,75,70,110,226,221,223,223,224,224,225,225,79,89,97,111,129,142,147,184,236,181,157,196,227,172,130,119,102,80,65,143,233,220,223,224,224,225,226,226,82,89,94,111,131,143,150,179,214,173,171,188,214,168,142,107,100,82,68,178,228,220,224,225,226,226,227,227,80,88,94,112,132,144,151,172,193,194,189,184,217,163,156,117,83,79,75,201,226,221,225,225,226,228,227,228,80,88,97,115,131,142,154,164,199,222,169,189,210,149,134,109,80,71,90,215,223,224,226,226,226,227,228,228,79,86,93,114,129,140,155,157,196,213,168,163,185,130,108,89,78,61,114,223,217,223,227,226,226,228,228,228,78,86,91,112,127,140,152,159,181,190,166,164,163,129,109,95,81,56,132,226,215,221,223,223,224,226,227,227
18,164,167,170,173,175,177,181,184,186,187,190,192,193,195,196,196,196,196,197,196,196,197,197,198,198,199,199,199,166,170,171,174,176,179,183,186,189,190,192,193,195,196,196,196,198,199,201,203,197,200,201,200,201,201,201,201,167,170,172,175,178,182,184,187,191,193,194,195,197,198,201,201,200,190,165,181,209,201,200,207,202,203,204,204,169,171,174,177,181,184,185,188,192,192,197,198,199,200,197,196,222,187,146,114,167,171,149,176,212,204,206,206,169,173,177,180,183,185,187,191,193,196,198,200,202,201,166,141,190,170,115,114,89,150,149,108,181,213,206,208,172,175,177,181,184,187,191,193,196,197,199,194,210,219,160,134,173,150,103,104,87,146,169,116,117,218,207,208,175,176,179,183,187,190,194,195,198,199,205,167,147,196,184,160,181,157,138,130,112,118,146,120,102,213,210,210,176,178,181,184,189,193,194,198,199,204,219,183,152,133,190,173,158,182,174,173,164,132,104,98,107,215,212,212,177,180,182,185,189,192,196,199,199,210,213,212,187,135,137,176,135,159,192,185,185,152,98,71,107,219,213,213,178,181,184,188,191,193,197,199,202,211,179,206,186,158,103,135,148,111,162,185,180,145,107,73,108,224,212,214,179,183,186,189,194,197,200,199,203,212,146,144,172,140,86,96,137,95,98,148,170,160,126,78,123,227,212,216,180,184,187,191,194,198,200,202,204,215,168,135,158,110,76,81,112,87,72,99,179,180,143,88,116,229,213,218,181,185,187,192,194,198,200,202,204,219,198,158,147,109,79,71,104,82,60,75,173,199,157,116,85,203,222,217,182,186,190,192,195,198,201,204,206,220,189,146,131,111,83,65,110,90,46,149,204,212,180,131,82,123,230,218,184,187,191,194,197,200,203,206,206,215,208,183,147,115,91,81,93,70,132,221,219,205,175,130,100,107,226,220,186,188,191,194,198,201,205,209,207,218,215,188,149,118,102,96,87,124,213,232,226,205,163,122,97,124,230,219,185,188,193,195,198,201,205,209,208,219,218,194,158,132,119,122,124,188,228,234,212,191,154,111,86,145,233,218,187,190,193,195,199,203,205,209,210,216,219,201,174,154,145,124,134,198,227,228,194,164,136,107,81,171,234,221,186,190,193,197,199,204,206,209,209,214,215,203,182,160,148,132,134,185,229,221,184,156,123,102,85,190,233,224,185,189,194,198,200,203,207,211,212,211,214,205,185,159,153,155,132,173,228,211,170,141,114,96,94,211,229,225,185,189,194,197,199,203,206,208,212,212,209,203,190,169,175,166,132,155,227,193,159,125,107,91,111,227,227,227,185,189,192,195,199,202,207,205,210,213,207,199,192,178,170,172,139,141,214,177,143,114,100,86,131,236,224,227,186,190,193,196,199,202,208,207,210,212,209,200,195,181,169,168,145,126,195,166,124,106,100,83,153,234,223,227,188,192,196,198,199,204,208,208,210,214,213,208,203,183,165,156,135,110,174,145,108,99,99,91,196,230,226,227,188,191,196,198,201,205,206,209,211,213,207,219,202,173,151,134,106,108,149,123,107,103,88,136,234,227,227,227,187,191,194,198,202,204,207,208,212,210,206,225,196,167,147,118,109,113,141,118,107,102,94,197,229,225,227,228,188,192,195,198,202,206,207,209,213,207,212,226,201,177,159,133,120,123,140,110,112,82,139,235,225,226,227,228,187,192,194,197,201,205,206,208,211,205,213,219,207,185,172,136,113,139,130,112,101,79,185,230,223,227,227,227
12,94,98,105,113,131,147,156,164,171,177,178,182,185,187,192,195,199,201,203,205,206,209,210,210,211,211,212,212,94,100,107,114,133,150,157,165,172,177,179,183,186,190,194,195,199,203,206,205,209,210,211,212,213,213,214,214,96,101,109,116,134,150,160,169,174,177,181,185,189,191,196,203,200,206,198,210,211,213,213,213,215,217,217,217,97,103,111,119,138,152,161,169,175,178,184,186,188,208,167,165,214,219,153,147,217,209,218,219,216,220,219,220,97,103,112,121,141,154,162,169,175,182,188,180,218,235,179,133,188,224,169,112,154,165,145,211,223,220,220,220,98,104,114,122,142,157,164,172,178,184,189,180,248,247,195,152,163,226,187,147,109,163,120,145,227,222,223,223,98,106,115,124,145,158,165,173,180,185,189,190,252,255,219,159,158,233,185,148,100,152,149,102,203,230,223,224,99,109,116,128,148,160,167,176,181,187,182,203,232,248,237,159,146,241,187,139,94,150,142,103,207,230,227,226,102,109,118,129,149,160,170,176,181,177,192,211,216,200,207,146,118,202,173,125,96,154,132,115,222,231,229,229,102,109,118,132,151,160,168,177,180,237,255,179,123,130,181,125,98,162,134,108,102,147,118,137,239,228,230,230,104,111,118,135,153,161,172,169,216,255,224,158,130,95,161,141,94,144,138,109,103,138,111,150,241,229,231,231,104,112,119,136,152,161,174,173,247,214,200,172,149,98,137,180,98,142,182,123,117,181,131,160,245,230,233,233,105,112,121,138,154,163,170,185,248,187,176,190,153,120,72,106,65,99,152,113,125,190,146,96,189,243,233,235,105,113,122,140,157,165,166,197,247,195,157,179,145,129,66,48,88,131,130,129,165,148,117,102,128,241,235,236,107,115,122,142,157,164,167,200,255,210,170,144,129,110,59,77,147,199,204,194,184,151,144,126,142,243,236,237,109,115,125,146,158,168,168,209,255,212,187,142,109,111,93,133,200,226,222,203,179,146,137,114,183,246,236,238,109,116,125,148,160,169,168,214,255,220,193,152,133,162,153,205,235,235,224,192,162,144,120,113,221,241,238,239,110,117,127,148,157,170,172,206,249,213,186,155,156,163,161,231,231,233,220,176,151,139,111,148,245,236,240,240,109,117,128,149,157,169,175,195,243,207,183,163,158,148,174,220,220,228,200,163,142,131,110,204,245,237,241,240,110,117,131,151,159,170,179,188,237,204,190,181,165,165,197,215,221,211,180,155,135,116,134,241,240,240,240,242,112,118,131,152,162,173,180,182,221,212,201,197,179,171,196,207,206,181,155,140,130,109,183,248,239,242,243,244,112,119,134,154,163,171,180,181,208,223,200,189,172,155,163,185,182,161,138,130,119,131,234,241,240,242,245,244,113,119,135,153,160,172,179,185,199,233,192,180,163,146,147,159,152,142,128,129,110,191,247,239,243,244,245,244,114,119,138,155,160,173,179,187,193,238,212,177,151,142,153,149,150,143,128,117,138,240,237,242,244,245,245,245,113,120,139,155,162,174,181,189,191,237,231,186,167,166,170,148,151,144,124,101,186,248,238,244,246,246,247,247,114,122,140,154,163,173,182,185,207,255,245,197,186,176,172,145,139,128,118,90,200,248,241,244,246,246,247,247,113,121,142,156,164,177,177,211,246,230,255,208,196,175,165,143,127,116,114,87,203,249,239,245,246,246,248,248,115,122,143,156,165,177,181,252,255,203,229,208,194,170,160,136,115,116,112,91,214,247,241,246,246,247,248,248
0,171,173,176,178,180,182,183,185,185,186,186,186,186,186,186,186,187,186,185,185,185,184,184,184,184,184,181,180,172,174,177,179,181,183,185,186,187,187,188,188,189,188,187,188,188,187,187,187,186,185,185,185,185,185,183,182,173,175,178,180,182,185,186,187,187,188,189,190,191,190,190,191,191,190,189,188,187,187,186,186,184,184,184,183,176,177,180,182,184,186,188,188,189,191,192,192,192,192,191,191,190,189,190,189,188,188,188,187,187,186,185,185,177,179,181,182,186,188,189,190,192,192,193,191,187,177,186,190,167,164,189,190,189,188,187,189,189,187,186,186,178,180,182,184,187,188,190,191,193,184,184,208,183,143,133,194,160,114,159,178,181,176,156,190,190,188,187,187,180,182,183,186,188,189,191,193,201,172,143,192,196,161,119,196,167,127,91,114,148,182,126,182,191,190,190,188,180,182,185,187,189,190,191,199,213,197,159,141,202,163,118,195,170,130,83,134,145,182,145,138,188,190,192,190,180,183,186,188,190,191,192,212,205,205,175,115,179,162,115,193,173,127,100,150,121,179,167,129,147,188,192,191,181,184,186,188,189,192,195,212,173,198,164,100,144,162,116,187,163,110,101,144,98,157,181,153,117,152,194,192,184,186,188,189,190,191,206,209,165,191,139,92,140,144,105,162,140,97,97,135,102,184,200,164,111,130,192,192,185,187,189,191,193,192,215,205,175,183,125,87,135,125,93,131,122,91,97,128,116,201,197,157,98,163,194,194,186,187,189,192,194,197,222,195,157,158,134,88,122,117,87,119,114,80,135,146,164,195,176,132,101,190,195,194,187,188,191,194,195,199,227,208,173,132,109,74,126,134,91,134,131,121,169,167,166,178,144,102,140,198,196,195,187,189,192,194,195,203,227,208,185,154,112,90,115,119,90,125,175,192,180,168,144,142,118,84,177,199,198,196,188,190,193,195,197,210,227,206,189,170,141,105,109,132,145,188,206,197,174,158,131,107,100,90,193,200,200,199,189,191,194,196,197,213,228,208,190,174,154,116,109,143,191,214,212,192,164,147,118,92,82,130,201,201,200,200,190,192,194,196,197,210,227,212,192,179,166,131,122,143,203,217,209,182,153,132,104,83,88,189,202,201,201,201,191,193,195,197,197,205,226,215,196,181,171,144,124,153,211,216,197,169,138,115,91,77,154,202,202,202,202,201,191,194,195,199,199,202,225,217,200,181,167,146,123,165,207,205,180,157,128,99,80,119,200,204,204,202,202,203,191,194,196,199,200,202,226,213,199,182,162,143,130,176,191,180,168,146,116,86,83,184,205,206,205,204,203,203,192,194,196,199,199,203,227,213,202,183,157,141,146,176,162,161,151,128,100,77,152,205,207,206,206,206,204,203,192,194,195,198,196,216,229,217,211,185,160,148,158,171,147,147,131,109,83,121,202,209,209,208,207,206,205,203,192,195,197,197,199,230,225,216,209,180,158,154,159,153,141,136,118,93,102,194,210,210,209,208,207,207,206,205,191,194,197,194,215,224,208,206,200,169,151,155,149,138,131,118,97,96,180,209,211,209,208,208,208,207,205,205,191,193,195,188,223,211,188,179,177,156,147,151,139,128,119,101,91,162,204,209,209,209,209,208,207,207,206,205,191,194,192,194,224,203,177,157,151,137,148,150,121,118,109,83,134,202,210,210,210,210,209,208,207,207,206,206,192,194,185,214,222,193,161,150,140,122,149,140,107,113,94,89,184,209,210,210,210,210,209,208,207,207,207,207
23,107,111,113,117,121,123,125,128,130,132,133,135,136,137,137,139,140,140,143,143,144,146,147,147,146,147,148,148,107,112,115,118,122,124,126,129,130,133,134,135,137,138,140,141,142,143,145,148,146,147,147,147,149,147,148,150,109,113,116,119,123,125,126,129,131,133,134,136,139,140,138,141,135,139,143,122,143,149,149,150,150,150,151,150,110,113,117,120,125,126,127,130,132,133,136,138,138,138,146,147,132,122,100,62,143,151,150,153,151,151,153,152,112,115,118,121,125,127,129,132,133,136,137,136,139,148,153,131,82,81,73,118,154,150,151,153,152,153,153,152,112,116,119,122,125,126,129,133,133,137,135,145,158,138,127,74,80,127,148,156,151,152,154,153,154,154,154,154,112,116,120,122,126,127,130,133,135,138,133,159,164,105,64,101,153,96,127,155,150,154,155,154,155,155,155,155,113,116,121,124,126,129,130,133,135,139,135,161,167,115,126,177,141,93,95,163,154,154,155,155,155,156,157,157,112,118,121,124,127,129,130,134,136,140,138,167,161,159,175,149,124,133,108,126,139,155,155,156,156,157,157,158,113,118,121,125,128,129,132,136,138,139,141,164,156,164,153,151,152,142,106,56,67,140,159,157,158,158,158,159,115,119,122,126,128,130,133,137,138,139,144,150,145,149,152,147,139,131,88,44,34,97,170,157,158,159,159,158,115,119,123,126,129,130,132,136,137,149,153,140,136,146,145,139,135,117,76,45,39,52,113,163,158,158,158,157,114,118,123,126,129,131,133,136,140,177,161,142,148,136,129,119,97,99,79,46,32,55,53,121,167,158,159,158,114,119,124,127,130,131,134,138,138,171,172,158,151,121,90,49,49,113,78,44,24,56,55,113,168,158,160,160,115,119,124,127,130,133,134,138,139,164,168,152,136,121,91,35,53,115,73,40,40,63,68,154,163,160,161,161,115,120,124,128,131,132,134,138,139,165,169,143,159,117,49,26,80,69,32,31,64,66,103,168,160,162,162,163,115,120,125,129,131,132,135,138,138,164,164,154,150,106,53,14,31,9,22,42,72,71,149,163,161,161,161,162,116,120,125,128,130,132,135,139,139,163,160,161,147,105,68,5,5,29,55,65,62,98,168,159,162,162,161,161,117,122,125,128,131,133,136,139,140,165,160,162,146,103,74,23,24,58,75,79,61,138,167,162,163,163,162,161,118,122,126,129,132,134,137,139,143,166,162,160,140,103,75,31,39,69,78,70,91,169,160,163,164,163,162,163,118,122,126,130,132,134,136,139,144,167,160,152,133,100,74,37,45,74,79,61,122,171,161,164,164,164,163,164,117,121,126,131,131,135,138,139,147,166,150,143,127,97,75,52,48,76,74,63,151,164,162,163,164,164,164,164,117,122,126,131,132,134,138,139,148,164,147,139,122,100,81,59,51,73,62,92,170,161,164,164,164,165,166,166,118,123,127,131,132,134,139,138,152,164,148,143,123,104,87,64,55,64,62,148,166,164,164,165,166,167,167,166,118,123,127,131,132,134,140,137,157,166,148,139,124,110,85,64,58,51,118,168,161,164,165,165,166,167,167,167,118,123,127,131,134,137,138,140,164,159,146,133,121,105,72,65,52,111,168,162,164,164,164,165,167,168,168,167,118,123,128,131,134,139,136,155,167,153,143,123,105,89,72,55,90,169,162,164,164,164,165,165,167,168,168,167,119,124,129,131,132,137,135,163,159,152,137,117,97,88,71,53,146,167,162,164,164,165,166,166,166,168,168,168
21,125,132,137,139,142,148,152,156,159,161,162,164,166,167,167,167,168,167,166,166,167,166,165,164,163,162,162,160,126,134,139,141,144,149,154,157,160,163,164,166,167,168,170,169,169,168,168,167,168,167,167,165,163,162,162,162,128,136,141,143,146,152,155,158,162,165,167,168,168,168,170,173,171,171,171,170,169,169,168,166,165,164,162,162,129,137,141,143,146,153,156,161,164,166,168,170,168,186,153,142,177,171,172,172,171,170,170,169,167,166,165,163,130,138,143,144,148,154,158,162,164,167,170,171,170,198,163,110,169,176,174,174,172,173,172,170,172,169,167,165,132,140,144,145,150,156,160,162,166,169,171,173,170,193,181,117,152,181,174,175,175,173,176,164,135,168,169,168,132,141,145,146,151,157,161,164,168,171,173,175,173,186,204,147,139,184,176,176,176,175,182,160,101,156,174,169,134,142,146,148,153,159,164,166,169,172,174,177,176,183,214,166,124,180,179,179,177,178,180,153,107,161,174,170,136,143,147,149,155,161,165,167,170,174,175,178,178,181,209,171,120,167,184,180,178,187,183,139,111,178,173,173,137,144,149,150,157,162,166,169,173,175,177,180,181,180,210,183,127,152,188,180,180,192,180,127,127,184,174,174,137,144,149,152,158,162,167,171,174,176,178,181,182,178,209,199,140,144,190,179,186,187,157,109,152,184,176,175,138,146,150,152,158,163,168,171,175,177,180,181,183,180,199,199,137,140,191,183,197,187,147,99,173,181,177,176,140,148,151,154,160,166,170,173,176,179,181,183,185,185,198,196,123,124,191,186,196,181,129,122,187,178,179,178,141,149,153,155,161,166,171,174,177,180,181,184,185,156,155,202,129,141,172,182,177,154,101,153,189,179,181,180,141,150,155,157,162,168,173,176,178,181,182,191,198,149,121,163,141,138,166,177,174,124,101,184,183,182,182,181,141,150,156,157,163,169,174,177,180,182,184,178,195,154,144,126,143,138,127,160,164,103,144,194,183,184,183,182,143,151,155,158,165,171,175,178,181,184,200,153,150,162,163,157,166,143,81,111,136,89,159,193,186,186,185,183,143,153,156,159,166,171,176,180,180,198,211,182,124,153,162,154,154,131,108,83,88,85,167,193,186,187,186,184,145,154,157,160,166,172,177,181,181,198,210,190,129,125,153,106,124,141,128,104,79,78,177,193,187,188,187,186,145,154,158,161,167,173,178,182,182,207,202,178,142,111,158,141,92,150,147,120,98,69,152,200,188,189,187,186,145,155,159,162,169,174,179,183,184,208,195,182,145,88,152,209,113,137,175,129,112,81,117,203,189,190,189,187,147,156,158,162,169,175,180,185,183,208,221,195,135,121,117,155,109,162,166,134,115,87,112,203,190,192,190,188,148,156,158,162,169,176,181,186,184,204,221,206,154,169,101,126,182,166,155,119,112,78,124,204,190,192,191,189,148,157,160,163,171,176,181,186,186,199,224,194,168,149,119,171,193,147,148,141,104,73,138,206,191,193,192,191,148,158,160,164,172,178,181,187,188,196,220,191,188,151,159,203,177,158,149,148,115,68,163,204,193,193,193,193,148,156,158,164,171,176,181,187,189,191,212,193,189,160,168,201,174,159,138,129,99,78,191,198,194,194,194,193,148,156,157,163,171,176,181,185,188,193,205,194,184,167,140,172,155,134,116,105,71,112,206,194,195,193,193,192,150,156,159,164,171,177,182,184,194,169,166,203,181,158,129,132,134,125,106,91,70,168,204,196,195,193,193,192
5,169,172,176,177,178,180,181,181,182,184,184,183,184,185,185,184,189,186,184,185,183,183,182,181,179,178,179,177,173,177,179,180,181,183,185,186,185,187,188,188,189,190,189,189,157,184,188,187,188,186,186,184,183,182,182,180,178,181,184,185,186,188,189,190,190,191,193,193,190,193,193,209,129,159,201,191,192,191,190,188,188,187,185,184,183,186,189,189,190,192,194,194,194,195,196,195,197,158,172,222,138,134,208,194,196,195,194,193,192,191,189,188,187,189,193,195,195,196,197,198,198,200,201,198,213,154,135,229,136,117,214,198,200,198,197,196,194,194,194,192,190,193,198,199,199,201,202,203,204,203,204,201,220,169,122,223,136,120,217,202,203,202,201,199,198,197,197,196,193,195,201,202,202,206,205,206,200,204,209,205,224,174,111,219,151,128,219,207,208,207,206,204,202,201,202,199,197,199,203,205,206,209,208,215,173,162,219,206,226,187,115,215,139,133,222,210,211,210,214,212,204,204,204,202,200,202,206,209,210,211,209,217,185,126,217,210,229,191,101,207,132,137,226,213,213,209,171,193,214,206,205,205,202,205,210,212,213,213,211,222,210,106,210,216,227,189,91,206,158,137,229,211,217,217,169,140,214,213,209,208,203,208,212,214,214,215,216,221,209,110,209,220,220,206,103,178,173,140,227,208,197,175,207,177,173,215,212,211,208,210,215,217,217,218,219,220,228,123,186,227,214,216,111,134,176,151,224,211,189,80,169,200,139,199,220,214,210,213,219,218,220,220,220,222,234,160,152,230,216,221,115,126,174,150,211,206,175,132,208,175,144,223,218,217,210,215,219,221,221,221,224,223,217,221,176,188,215,203,141,153,158,132,178,190,146,195,227,136,185,229,218,219,213,217,221,224,225,225,225,228,211,228,214,173,177,176,148,149,147,136,181,189,150,216,204,108,207,226,221,220,217,220,222,225,226,228,228,229,223,224,240,199,168,167,137,144,141,139,174,185,167,234,175,92,222,226,224,223,218,222,224,225,227,229,230,230,230,226,255,225,155,150,129,123,134,144,171,179,167,239,169,112,236,225,225,225,220,223,226,227,228,229,230,231,233,230,255,235,160,119,120,113,129,160,182,165,157,233,171,130,240,226,228,228,223,226,227,229,230,230,233,234,234,230,252,231,169,121,119,115,148,174,196,210,172,217,172,137,242,229,228,228,223,227,227,228,231,234,235,235,237,230,247,225,169,124,112,125,164,183,217,231,188,187,146,131,242,231,231,228,225,227,229,231,233,235,235,236,238,229,248,225,179,126,112,134,179,211,217,221,203,154,103,115,242,232,233,232,226,228,229,233,234,235,237,236,240,230,244,226,184,128,114,133,190,226,223,211,177,123,66,147,248,232,235,234,226,228,233,235,235,236,238,239,242,234,235,225,183,131,122,124,201,236,220,188,152,93,92,231,241,235,236,234,228,229,234,235,236,236,239,240,244,230,218,222,183,136,132,122,198,221,195,164,127,75,192,252,238,238,236,235,228,229,233,235,236,236,240,240,245,232,209,213,174,150,138,125,182,199,180,152,89,121,252,240,242,240,238,237,227,229,232,234,235,235,237,238,242,235,207,201,167,157,131,122,172,184,169,113,74,217,249,241,242,241,240,238,226,229,232,234,234,234,236,239,242,233,211,204,172,155,134,109,154,152,123,72,178,253,239,242,242,241,239,238,227,229,233,235,235,235,238,241,246,230,218,205,160,146,136,105,132,116,71,142,255,241,244,242,242,241,239,237
10,171,174,178,181,184,186,189,190,190,191,193,194,195,194,195,195,195,195,195,196,195,195,196,195,195,195,193,192,173,177,181,184,187,189,191,194,194,195,196,196,198,197,198,197,198,198,198,198,198,197,199,198,197,197,196,196,177,180,184,187,190,192,195,196,198,198,199,199,201,200,200,204,202,201,201,201,200,200,201,202,201,200,200,199,180,183,186,190,193,196,198,200,201,202,203,203,202,205,202,167,205,205,204,204,203,204,205,204,204,204,203,201,182,185,189,192,196,199,201,203,204,205,206,206,205,209,219,147,179,214,205,206,205,207,207,208,207,206,205,204,184,188,192,195,198,201,204,205,206,207,209,209,210,208,222,190,146,209,209,209,209,210,210,210,210,208,207,206,187,190,194,197,201,204,206,207,209,209,210,211,214,212,220,220,159,185,219,210,211,212,213,212,212,211,211,209,189,192,197,200,203,206,207,209,210,211,211,212,207,205,222,241,197,156,218,213,213,214,214,214,213,212,212,211,190,194,198,203,206,208,209,210,211,213,212,220,205,140,189,248,227,150,192,222,217,219,217,218,217,215,214,213,192,196,201,205,207,210,211,213,215,216,215,221,224,163,127,229,240,169,159,227,217,219,219,219,218,218,218,216,194,199,202,204,208,211,213,215,217,218,219,217,241,228,172,173,226,194,139,224,219,221,222,221,221,220,219,219,195,200,204,206,210,212,214,217,219,220,219,232,214,255,221,141,159,214,127,212,224,223,224,223,223,222,221,220,198,200,205,208,211,214,217,218,218,220,230,232,171,179,224,157,113,155,123,193,231,222,225,224,224,225,224,224,197,201,205,209,212,216,218,220,217,236,243,216,168,89,182,194,127,97,102,145,234,225,226,226,225,225,226,225,198,202,206,210,213,217,219,220,218,237,251,176,119,54,123,191,157,105,93,109,216,231,227,227,226,226,226,226,199,203,207,211,215,219,219,224,234,212,244,203,134,60,99,178,182,148,105,99,193,237,227,229,229,227,226,226,199,203,208,212,216,219,219,226,250,232,214,245,212,104,113,206,197,176,116,91,182,240,228,231,232,229,228,227,201,203,208,213,217,219,221,223,225,251,220,199,230,178,167,226,202,180,124,86,177,243,230,232,232,230,230,229,199,203,208,211,215,218,219,225,201,211,213,151,203,208,143,231,204,170,134,89,171,243,230,233,232,231,230,231,201,204,208,211,214,218,219,223,236,204,186,163,142,190,214,242,212,169,125,93,170,243,230,232,231,230,230,230,200,204,208,212,214,218,219,222,245,234,189,174,168,245,255,239,206,159,121,96,178,243,230,231,231,230,230,231,200,205,209,212,214,218,221,220,234,242,210,204,201,254,243,225,195,144,121,100,169,244,231,232,232,231,231,231,202,206,209,213,215,218,219,221,228,242,221,232,208,249,235,206,182,146,137,112,159,244,231,232,232,232,232,231,200,206,211,215,219,222,224,227,230,236,233,242,209,224,230,200,185,158,162,119,170,247,233,235,234,234,232,232,134,139,144,147,152,159,163,164,166,228,244,239,220,197,217,201,200,173,160,116,173,228,221,227,228,231,231,232,119,119,118,115,115,117,118,121,113,177,242,223,210,194,196,207,217,176,144,117,122,131,133,136,140,142,142,146,125,126,126,130,132,131,129,129,128,132,219,206,200,193,191,211,216,173,136,115,130,130,127,128,127,126,125,124,124,124,124,127,127,130,128,126,130,119,193,211,198,197,204,200,205,173,132,115,141,138,135,140,139,140,140,142
4,110,118,130,137,139,142,146,149,152,153,155,158,159,162,164,165,167,169,171,173,174,176,177,178,178,179,182,181,112,120,130,137,139,143,148,150,152,154,157,160,159,160,162,166,171,169,172,174,175,177,177,178,179,180,180,181,114,122,130,137,140,145,149,151,155,154,153,156,164,174,155,149,153,174,170,176,178,177,179,179,179,180,179,181,115,123,133,138,142,147,149,152,154,167,170,149,146,180,191,162,121,128,156,135,162,180,177,180,181,181,181,181,117,125,136,139,143,147,150,151,151,190,202,184,148,118,185,160,121,89,152,111,113,186,177,182,182,183,183,183,117,126,135,140,146,148,149,171,174,160,137,185,155,103,144,150,109,84,135,117,106,184,180,182,182,183,184,185,119,128,137,141,146,145,166,212,190,153,104,156,149,98,114,166,123,84,150,137,99,177,182,184,183,184,185,185,119,130,139,142,146,143,180,188,189,150,104,128,168,106,86,172,139,72,164,145,87,175,185,184,184,185,185,185,120,132,139,142,147,143,186,186,165,172,138,97,175,133,50,133,173,107,124,129,142,131,167,187,184,186,187,187,122,132,138,143,149,144,186,186,144,158,141,70,116,123,68,115,179,145,121,129,144,121,136,191,184,188,188,189,124,134,141,144,150,144,186,193,172,146,116,97,86,114,107,124,149,150,146,133,125,147,124,179,189,188,188,188,126,136,142,146,151,149,202,193,163,144,128,105,108,134,116,137,152,148,137,132,154,169,125,155,196,188,190,190,127,137,143,147,150,154,211,191,154,133,117,101,113,130,133,147,164,141,107,153,187,172,145,133,195,190,190,191,128,138,143,147,149,160,215,185,156,135,119,110,120,129,150,154,167,180,181,159,162,175,153,119,183,195,190,190,129,138,144,148,148,168,222,189,159,136,127,113,123,137,159,166,177,194,191,180,172,152,140,103,160,200,192,193,132,139,144,150,148,166,226,193,165,145,125,114,123,139,165,178,190,197,191,181,171,147,123,94,154,203,193,196,134,139,144,150,149,165,228,198,175,153,125,121,125,140,173,189,197,198,190,181,162,144,121,92,174,200,194,196,135,141,143,149,151,168,232,199,180,160,139,133,132,145,183,201,203,196,183,172,158,138,109,109,200,194,196,196,135,141,144,150,151,165,224,201,187,168,156,136,141,160,189,211,206,195,182,165,149,128,91,145,205,193,197,197,135,141,145,151,154,158,212,207,195,178,169,152,145,177,184,206,203,192,181,159,140,111,93,185,199,196,197,197,135,141,145,151,155,153,199,210,200,186,176,165,150,170,180,198,198,188,175,155,137,99,126,206,194,197,197,198,136,140,145,151,156,155,184,220,203,193,179,166,155,165,177,197,193,178,171,154,134,99,172,201,196,197,198,198,138,141,145,152,156,157,175,229,206,192,177,161,158,163,178,190,182,168,157,152,123,123,203,197,198,197,198,198,138,141,145,152,157,158,173,235,199,185,176,167,165,168,176,178,164,156,143,133,114,182,199,198,198,198,198,198,137,141,146,151,158,158,174,227,189,185,183,180,174,169,171,173,160,148,137,104,163,201,196,199,198,199,199,199,139,143,146,152,157,156,178,221,191,192,189,184,184,173,167,167,156,142,114,116,202,193,197,197,199,199,199,199,137,142,146,153,158,157,180,223,208,194,184,188,192,174,158,155,148,134,94,150,202,193,197,198,199,199,200,200,137,142,148,153,158,158,180,220,214,193,187,195,193,168,155,148,147,122,91,178,200,195,199,199,199,199,201,201
3,72,65,15,49,74,87,96,107,114,119,123,126,129,132,134,137,139,141,144,144,146,149,149,152,153,153,153,154,79,60,16,56,78,90,99,109,116,121,126,129,131,133,135,138,141,140,141,147,148,150,151,153,154,155,156,156,85,55,18,60,81,91,101,112,117,122,127,130,132,134,138,139,142,150,105,141,152,152,153,154,154,155,157,156,86,45,22,64,82,92,102,112,118,123,128,131,133,134,139,141,146,164,98,125,156,151,154,155,156,157,158,158,87,36,28,66,83,93,103,113,119,124,128,131,133,137,140,142,149,162,95,125,156,153,155,157,157,158,159,159,87,30,36,69,85,95,106,115,120,126,130,132,135,138,142,143,153,166,96,130,157,153,156,157,158,159,159,160,85,23,41,71,87,96,107,117,122,128,132,136,139,137,138,138,162,154,93,133,160,156,158,159,160,161,161,161,81,20,48,74,89,97,110,118,124,129,130,133,133,166,152,116,154,132,86,135,161,158,159,160,161,161,162,162,75,19,54,77,91,100,111,119,125,127,148,154,124,141,174,131,105,122,84,144,161,160,161,161,162,163,164,164,66,20,59,78,91,101,112,121,126,124,154,186,162,109,138,142,109,133,91,154,159,160,161,163,164,165,166,165,57,22,63,81,93,104,115,120,129,167,151,118,152,127,102,166,144,126,85,150,163,160,163,164,165,166,166,167,47,26,66,82,95,105,116,119,137,179,165,120,98,141,98,102,116,132,87,108,165,162,164,165,166,167,167,168,38,31,69,84,97,106,117,118,146,153,112,140,123,124,129,64,90,147,139,98,129,170,164,166,167,168,169,169,29,38,71,86,97,107,119,118,153,148,83,100,102,93,102,98,94,132,156,102,124,173,166,168,168,169,170,169,21,44,73,87,98,108,120,119,156,148,126,102,76,90,103,117,99,137,157,95,141,173,168,169,169,170,170,171,17,50,75,87,98,109,118,120,166,160,124,93,82,101,122,123,110,158,163,96,154,170,168,170,171,171,171,172,16,54,76,89,99,109,119,122,166,149,107,89,92,111,133,135,151,174,151,94,158,170,169,170,171,172,172,172,18,57,77,90,100,109,121,121,163,156,120,99,94,117,140,159,180,163,136,91,160,170,170,171,172,173,172,173,23,60,80,92,101,111,121,121,162,162,128,105,100,116,152,182,180,148,111,99,170,171,172,172,172,172,173,174,27,62,80,93,102,112,121,121,159,170,143,110,106,120,169,181,173,148,92,106,175,169,172,172,172,173,173,173,30,64,81,92,102,112,121,122,151,169,144,122,115,125,176,180,164,142,86,118,177,169,172,172,173,173,174,173,34,67,81,92,101,112,120,125,140,160,148,138,127,129,170,171,153,134,81,138,176,169,172,172,173,174,174,174,38,69,83,93,102,113,119,126,132,154,155,145,139,126,155,156,139,117,85,160,173,171,173,173,174,174,174,174,42,70,84,93,103,113,119,126,131,158,160,147,134,119,135,139,131,109,100,174,170,172,173,174,174,175,174,174,45,70,84,93,103,113,120,127,130,170,166,144,128,117,129,127,132,95,136,175,169,172,173,174,175,175,175,175,49,71,84,93,103,113,120,127,133,179,165,147,133,122,136,126,116,91,162,170,170,172,173,174,174,175,175,175,52,73,85,94,103,113,120,126,136,177,173,160,131,135,144,118,91,104,171,167,171,172,174,174,174,176,176,175,56,74,86,95,103,113,119,126,136,178,181,161,130,142,136,111,79,117,173,168,171,172,173,174,175,177,177,177
17,147,149,151,153,155,156,157,158,159,159,161,161,163,164,166,166,167,168,168,168,169,170,170,169,170,171,171,171,148,150,152,154,155,156,157,159,160,161,162,163,164,165,167,168,169,170,170,170,170,171,170,170,171,171,172,171,148,150,152,155,156,157,158,159,162,162,164,165,165,166,168,169,170,170,170,171,169,172,172,172,172,172,173,173,148,150,153,156,158,158,159,161,162,163,164,167,168,168,169,171,171,165,147,152,135,150,174,174,174,173,173,173,150,151,153,156,158,159,161,162,164,165,166,167,168,170,171,172,174,173,139,108,104,127,175,175,175,174,174,174,150,152,155,157,159,161,162,163,165,167,168,169,169,170,172,172,173,186,153,106,85,131,177,175,176,176,175,174,151,154,156,158,159,162,163,164,166,167,167,169,170,171,172,173,173,188,164,121,81,141,178,177,177,176,175,175,152,154,156,158,161,163,164,165,166,167,169,170,171,172,173,174,174,190,175,135,95,159,178,177,177,177,176,175,153,156,157,159,160,163,164,166,167,168,169,171,162,154,173,175,176,193,175,139,110,170,179,178,177,178,178,177,154,156,158,160,162,164,165,167,168,169,170,174,163,131,142,173,179,195,172,138,114,172,179,179,179,179,179,178,154,157,159,160,162,164,166,167,168,165,165,178,169,149,132,147,162,184,171,138,113,171,180,180,180,180,180,179,156,158,159,161,163,165,165,172,177,154,131,160,180,178,173,144,111,138,158,138,114,170,181,181,181,181,179,179,156,157,159,163,165,166,165,181,182,153,124,153,163,181,187,164,119,102,132,128,110,166,182,181,182,181,180,180,156,158,161,164,165,166,169,180,160,164,144,138,128,134,189,182,143,98,106,112,103,164,183,183,182,181,180,181,156,159,161,163,165,166,171,183,147,135,128,99,89,88,181,194,163,110,92,97,96,161,184,183,183,182,182,181,157,159,162,164,166,167,176,175,142,125,126,104,99,103,166,204,175,128,91,94,93,154,184,182,183,183,183,182,157,159,162,165,167,167,181,180,161,144,135,118,124,131,156,208,178,141,99,92,93,148,185,183,183,184,184,183,157,159,162,165,167,168,187,174,149,140,134,127,142,154,180,195,176,148,107,88,88,148,186,185,185,184,184,183,158,159,162,166,169,172,189,163,143,134,132,139,147,186,207,182,164,146,106,83,82,148,186,185,185,184,184,184,158,160,163,166,168,176,193,166,149,136,135,144,166,208,203,182,157,137,103,81,82,155,186,184,185,184,184,184,158,161,165,167,168,180,196,171,155,138,137,150,190,208,194,177,149,131,100,82,88,169,185,184,185,185,184,184,159,162,165,167,167,185,198,175,162,146,139,165,206,204,190,170,140,125,96,81,108,182,185,185,185,185,185,184,160,163,167,168,167,190,200,178,169,160,144,174,208,196,185,169,136,116,94,80,140,187,186,186,185,185,184,183,161,164,167,169,168,191,205,182,177,171,154,173,201,187,179,166,136,108,90,92,170,187,186,186,185,185,185,184,162,165,167,168,168,186,207,188,181,174,163,166,193,182,178,161,133,104,85,119,186,186,186,185,185,185,185,185,160,164,166,169,169,179,205,192,179,170,167,166,182,176,178,165,129,101,83,137,189,185,186,185,185,186,186,185,161,164,166,168,171,176,202,189,177,166,164,168,176,169,179,167,129,100,86,155,189,186,186,186,186,186,186,186,162,164,167,169,171,176,200,184,176,165,161,166,174,166,177,160,124,99,99,175,188,187,187,187,187,186,186,186
14,192,191,191,191,191,192,193,193,193,193,194,193,193,192,194,193,194,194,192,193,193,192,191,192,191,191,193,151,195,194,195,194,195,195,196,197,198,197,198,197,195,196,196,196,197,198,196,196,195,195,194,194,193,191,197,131,197,197,197,196,198,198,199,200,198,199,197,198,199,199,197,202,203,199,200,199,199,197,196,196,195,196,198,167,201,199,200,201,202,201,200,200,204,210,198,186,202,201,186,181,197,204,204,202,202,201,200,201,198,198,198,188,204,204,204,206,205,204,201,214,231,193,186,184,187,173,140,158,178,184,190,208,204,207,206,204,202,201,202,197,208,208,207,210,207,215,229,225,204,125,98,126,139,137,92,86,158,139,112,211,208,209,208,206,204,205,204,202,210,210,210,213,204,232,242,155,115,87,45,61,83,91,68,62,99,103,67,186,221,212,204,209,207,206,206,206,212,211,211,215,205,242,234,142,65,53,46,40,48,57,61,53,65,76,92,108,185,182,149,165,213,207,209,208,215,214,215,217,206,249,228,160,88,58,55,49,47,46,57,53,54,96,149,109,83,176,145,147,220,210,212,210,219,216,218,218,208,251,212,132,65,46,53,64,60,46,57,62,57,74,95,65,143,200,111,176,225,213,215,214,218,217,219,217,222,251,207,156,104,61,46,60,51,65,55,83,145,186,160,123,200,185,99,189,225,216,216,216,220,221,222,218,231,255,216,174,132,91,74,50,54,92,66,141,242,225,234,208,205,183,97,182,228,218,219,218,224,225,226,218,240,255,227,179,117,88,78,71,70,75,69,188,231,221,224,191,201,173,98,168,232,219,220,219,225,225,227,219,243,255,234,181,109,79,72,68,88,71,96,233,224,228,214,198,203,166,97,141,238,221,221,221,225,226,227,223,245,255,236,196,137,87,62,64,85,69,134,245,223,230,203,217,207,158,83,174,236,223,225,223,226,227,231,223,243,255,240,199,152,100,63,61,77,55,155,232,232,218,190,220,209,130,111,235,227,227,227,225,229,230,234,220,235,255,242,208,164,106,72,66,63,60,110,135,184,182,192,208,186,102,184,241,226,230,227,227,232,232,234,221,235,255,244,210,174,125,83,48,66,80,100,133,154,166,186,190,146,115,232,232,233,233,231,229,232,232,235,224,236,255,250,214,179,138,100,51,72,88,123,156,170,165,159,158,106,168,244,233,235,235,233,231,234,233,236,222,233,255,251,220,185,145,109,66,70,104,146,172,176,152,135,116,92,223,239,236,235,235,234,234,236,233,237,222,226,255,249,224,189,151,113,84,69,102,149,172,172,148,114,91,125,248,233,235,235,236,237,236,236,234,238,226,223,255,248,228,193,159,117,96,72,92,146,171,165,132,102,93,209,244,237,238,236,236,237,236,239,238,238,225,228,255,248,229,198,167,127,107,86,87,153,168,153,121,81,152,255,237,239,239,238,238,237,236,241,240,242,222,233,255,246,227,205,176,127,112,104,82,150,149,133,110,75,208,251,240,241,241,239,239,240,239,241,241,247,224,240,255,244,227,213,180,132,114,108,85,125,133,125,94,104,247,245,243,242,241,241,240,240,239,242,241,245,225,255,255,248,241,214,181,133,113,103,89,108,117,114,75,178,255,244,245,243,242,242,240,240,239,242,242,238,223,255,255,250,235,203,164,125,107,98,92,101,103,90,121,248,249,245,245,245,243,242,242,241,241,243,245,229,225,255,255,247,218,179,143,114,99,92,97,100,100,92,217,255,246,247,247,246,243,244,244,243,241
6,199,200,200,199,200,200,199,199,199,199,198,198,196,195,194,191,191,189,189,187,186,185,183,181,181,179,176,174,201,202,201,201,202,202,201,201,202,201,201,200,199,197,196,195,194,192,191,190,188,187,186,184,182,181,179,177,202,203,203,203,203,204,203,203,203,204,202,201,201,200,198,197,196,195,194,193,190,189,189,187,185,182,180,178,204,204,205,205,205,205,206,207,206,206,205,204,202,201,201,200,198,198,196,195,193,193,192,190,187,185,182,181,206,206,207,207,207,206,207,208,207,207,207,206,206,205,203,203,201,199,195,190,187,184,178,174,176,175,182,184,207,207,208,208,208,208,209,209,211,211,209,203,202,197,189,181,173,159,144,147,153,153,141,146,190,177,161,186,208,208,209,208,208,210,210,210,197,176,165,157,159,157,153,146,144,139,125,143,141,133,135,136,165,149,149,188,209,210,211,209,209,211,205,187,165,145,141,147,151,157,155,150,136,125,115,111,105,110,112,107,121,147,181,188,212,211,212,212,211,195,179,174,164,138,118,125,130,128,119,112,95,90,104,128,147,165,175,186,193,195,192,190,212,213,214,211,184,169,172,168,155,133,98,82,66,95,151,163,172,178,195,206,206,204,202,200,197,196,194,193,213,215,211,180,166,169,172,169,167,157,125,77,51,84,153,187,209,213,208,206,204,202,201,201,198,197,195,194,217,211,184,170,173,179,178,178,180,162,108,65,61,60,59,64,91,192,211,207,207,204,203,202,200,199,197,195,198,176,175,182,181,182,180,171,173,131,72,57,59,62,65,62,49,117,216,209,208,207,204,203,201,200,198,195,171,175,184,183,181,180,166,161,165,130,95,63,42,54,62,66,60,56,190,213,209,207,205,203,202,200,198,196,175,179,184,186,183,169,161,166,168,169,148,93,52,50,49,48,63,122,204,210,208,208,207,204,202,201,200,198,178,180,186,185,177,162,161,164,162,166,139,81,57,57,58,46,152,220,211,210,209,208,207,206,204,202,200,199,178,184,185,175,164,159,158,154,151,146,113,63,50,54,58,43,152,222,213,212,209,207,208,206,205,203,201,200,179,177,166,164,164,160,158,147,135,136,124,82,41,46,46,104,204,213,210,210,209,207,207,204,202,201,199,198,167,157,155,160,155,146,137,131,134,150,152,102,57,58,46,159,222,214,210,208,208,208,207,204,203,202,203,197,157,156,155,147,134,129,129,135,142,152,140,86,57,53,44,167,220,214,211,210,209,208,208,208,194,173,138,104,156,153,143,134,130,130,129,124,120,115,85,56,62,73,146,216,216,218,217,213,209,206,205,158,92,64,56,52,141,129,118,125,127,125,109,90,77,68,65,127,186,207,220,219,209,179,163,118,104,104,93,63,56,57,42,47,105,82,77,97,106,99,82,68,71,112,164,215,215,213,214,207,129,82,69,39,45,45,40,45,41,49,41,30,63,49,64,85,88,85,80,84,100,117,121,118,119,123,120,98,71,62,57,44,30,45,34,39,33,37,36,23,52,67,112,111,111,112,111,109,110,109,108,105,90,78,64,55,51,49,39,50,21,38,31,30,32,33,27,24,49,96,125,118,118,124,119,114,119,118,118,103,65,47,53,48,41,42,39,43,25,26,29,26,29,32,21,27,54,105,114,113,115,116,113,111,113,108,89,59,51,34,42,46,36,36,34,35,30,17,25,25,28,30,18,27,62,111,112,113,117,115,112,113,105,83,69,37,42,36,32,43,32,32,27,29,31,15,22,24,27,28,19,27
8,164,164,165,168,169,169,169,168,167,166,167,165,165,165,164,162,162,161,160,159,158,157,157,156,154,152,150,150,167,167,168,170,170,169,170,170,169,168,168,167,169,165,164,164,163,163,162,160,160,159,159,157,155,153,151,151,169,169,169,171,171,170,170,170,171,170,170,163,157,167,166,166,165,165,164,162,160,160,159,158,156,154,153,152,169,170,172,173,173,173,172,171,171,170,173,160,107,159,171,167,167,167,165,163,162,162,161,160,158,156,155,153,171,171,173,174,174,173,173,173,173,170,181,147,83,153,173,169,169,166,165,165,164,164,163,162,161,158,156,154,172,173,174,175,176,175,175,175,175,173,185,123,82,168,172,170,169,167,167,167,165,165,164,163,161,159,158,157,173,175,176,177,178,178,177,178,175,180,188,115,94,178,170,172,170,170,169,167,166,166,165,164,163,160,159,158,175,177,176,176,178,178,178,179,174,188,183,106,109,181,171,175,175,168,169,169,167,166,165,165,163,162,160,158,176,177,178,177,179,179,179,179,175,192,170,91,121,184,175,152,152,179,171,168,167,167,165,166,164,162,161,159,177,178,179,180,180,180,180,181,176,197,166,120,136,180,185,155,111,144,168,176,169,167,167,167,165,163,162,160,178,180,179,180,181,181,182,182,179,200,167,147,147,176,177,182,148,110,114,126,173,174,174,169,166,165,163,162,179,180,180,181,182,183,183,182,182,194,174,155,161,192,155,187,172,163,145,80,94,130,122,167,168,165,165,163,180,181,182,182,183,184,184,180,191,190,157,165,179,181,149,137,170,159,145,99,45,55,51,96,177,165,166,164,180,183,183,184,184,184,185,184,191,169,155,159,168,168,137,84,112,179,147,109,53,42,52,55,165,170,167,165,182,183,185,185,185,186,183,194,189,149,136,138,160,155,109,67,49,189,160,116,56,56,62,60,169,169,167,166,183,184,185,186,187,187,185,208,196,165,127,99,152,138,90,64,75,187,170,119,58,47,39,115,180,168,169,167,184,185,186,187,189,185,195,214,190,162,135,107,143,166,147,169,172,160,155,116,71,25,76,176,171,170,169,168,185,187,188,187,190,185,206,208,178,166,140,126,103,180,197,170,174,144,124,117,74,58,169,178,173,173,171,170,186,188,189,189,190,190,213,199,179,168,126,111,154,195,183,149,163,147,99,112,57,119,189,174,176,174,172,169,186,189,190,190,188,196,215,196,181,163,125,151,198,190,173,147,143,142,85,86,45,156,184,176,177,174,173,171,188,188,190,189,192,199,213,199,182,160,142,181,192,181,163,137,129,124,82,54,70,187,179,178,177,175,174,173,189,190,191,194,171,199,212,198,175,156,144,174,174,163,150,125,126,99,67,33,125,191,179,179,178,177,175,172,188,188,196,177,64,105,185,181,154,141,146,151,166,151,134,119,105,72,45,47,178,182,182,179,178,176,175,173,190,190,196,95,58,50,76,150,162,150,146,145,166,144,120,98,69,55,26,121,191,180,182,179,179,177,176,175,187,202,142,53,58,57,50,57,116,145,136,143,154,119,91,73,60,34,76,191,182,184,183,180,179,178,176,176,198,177,70,56,54,50,55,36,20,53,67,106,128,88,60,55,33,60,180,188,184,184,183,181,180,178,177,177,193,99,51,57,51,46,49,52,11,25,26,26,40,47,41,28,83,181,189,184,184,184,182,181,179,177,177,176,125,49,55,53,48,42,45,50,8,15,29,20,12,15,5,64,198,186,185,184,183,184,182,179,179,177,174,174
23,120,123,126,132,135,139,143,145,146,148,150,151,153,153,155,155,155,155,153,152,154,153,152,152,151,151,149,146,121,124,127,132,135,140,143,145,148,149,152,154,153,155,156,156,156,157,156,156,155,153,153,153,153,153,152,148,122,125,128,132,136,142,143,147,149,151,152,155,156,158,159,158,157,157,157,158,157,156,156,155,154,152,153,151,125,126,131,136,139,142,146,148,149,152,156,154,154,154,150,160,162,159,160,159,160,159,158,157,154,155,155,154,126,126,133,137,142,144,148,151,152,150,151,162,177,173,129,101,149,163,163,162,160,161,158,158,156,155,155,154,125,127,134,139,142,145,149,151,150,160,187,182,178,164,144,127,127,101,162,163,161,161,160,160,159,157,156,156,128,129,133,138,142,146,149,154,150,180,180,130,134,95,100,121,92,101,165,162,162,162,163,161,160,158,158,158,128,130,135,140,144,149,152,156,154,178,155,117,54,104,162,155,149,166,165,164,163,163,163,162,162,161,160,157,127,131,136,141,146,151,154,157,154,183,158,139,42,128,177,171,173,168,168,168,167,167,163,162,163,162,161,159,130,132,137,143,149,150,154,158,156,185,162,141,71,142,173,112,160,170,168,168,167,167,166,165,164,163,163,161,131,134,138,142,149,151,154,160,157,192,173,180,195,197,180,59,110,184,167,168,169,169,168,168,166,165,165,163,132,136,141,144,149,152,156,156,162,199,207,210,186,174,122,61,92,186,175,171,171,171,170,169,168,167,166,166,132,136,142,146,150,154,155,173,189,198,203,193,182,169,66,96,128,90,154,172,176,173,172,172,170,168,169,166,134,136,141,147,152,152,191,202,193,198,204,196,178,138,54,84,126,45,49,82,127,180,172,172,171,171,169,168,134,138,143,150,153,157,203,184,176,184,183,166,169,111,46,44,88,62,52,66,60,165,178,174,173,174,171,169,135,138,145,152,151,164,199,178,189,203,195,186,161,101,58,37,45,67,62,75,70,157,181,175,176,174,173,173,133,139,145,152,153,152,211,209,208,198,173,149,123,79,66,54,12,38,65,73,75,162,182,176,177,176,174,173,135,138,145,152,156,152,213,207,178,134,94,84,70,74,79,43,0,34,70,79,82,169,182,178,178,178,176,175,137,140,146,152,156,151,200,181,149,99,72,26,43,92,78,24,25,48,70,81,80,173,183,180,178,179,178,177,136,141,147,153,158,151,185,182,137,79,52,18,69,58,27,24,49,62,63,77,90,182,181,181,182,181,179,177,138,142,148,154,162,146,183,179,127,89,67,38,15,4,28,46,63,73,69,74,146,189,182,182,183,183,179,178,137,142,148,153,162,145,179,179,136,100,71,64,30,23,60,77,83,88,71,112,193,184,185,185,184,183,180,179,136,141,150,153,164,140,177,186,142,105,80,77,57,43,78,89,90,89,73,142,197,187,187,186,186,185,183,182,138,142,150,155,164,142,169,183,139,111,86,80,65,48,77,88,89,84,81,170,192,187,188,188,186,186,185,184,139,143,151,156,164,147,164,178,135,112,88,81,69,57,76,83,91,77,116,196,189,188,189,189,188,186,184,184,138,143,151,156,164,155,162,171,134,109,87,76,74,70,79,86,81,100,180,193,191,190,189,189,189,187,185,184,138,144,151,157,164,158,163,165,123,100,81,78,79,77,77,82,103,182,196,192,193,193,192,191,189,188,187,185,139,143,151,156,164,157,166,170,121,96,82,80,80,80,80,77,160,197,190,193,192,193,192,192,190,188,187,186
20,161,162,164,163,165,164,163,164,164,163,164,163,162,164,163,159,158,157,156,154,152,150,149,148,145,144,143,141,165,166,167,167,168,167,166,167,168,167,167,167,171,155,151,165,160,160,159,157,156,154,152,150,148,147,145,144,168,170,171,170,171,171,170,170,170,171,171,169,186,153,112,170,166,163,163,160,159,158,156,153,152,150,149,147,174,174,175,174,174,175,175,174,175,175,175,172,182,164,92,104,139,171,165,164,162,161,158,156,155,154,151,148,177,178,179,178,179,179,179,178,178,179,179,176,188,161,78,111,104,162,171,168,166,164,162,160,159,156,154,152,180,181,182,182,182,183,183,182,182,183,182,180,193,149,75,155,112,139,181,171,170,168,167,163,162,161,159,155,183,184,185,185,185,186,185,185,185,186,186,183,199,155,87,168,115,121,184,174,173,171,170,167,165,164,161,161,187,187,188,188,189,189,189,189,189,189,189,187,206,150,88,173,139,116,186,178,177,176,175,171,167,168,165,164,189,190,190,190,191,191,191,191,191,192,191,196,207,128,91,183,148,108,185,181,179,179,177,175,171,170,168,167,192,193,194,193,195,194,194,194,195,194,184,198,211,126,113,198,142,99,185,185,182,181,179,177,175,173,172,167,196,197,197,197,198,197,197,197,198,196,177,164,179,141,110,190,148,99,186,186,184,184,182,179,178,175,178,150,198,199,199,200,200,200,199,200,199,202,213,197,156,129,104,172,163,110,182,190,187,186,184,183,180,177,178,163,202,202,202,203,203,203,203,202,204,194,170,197,166,168,113,144,154,107,178,195,190,189,186,185,182,181,180,169,204,204,203,204,204,205,205,205,204,209,150,120,175,184,101,86,113,93,173,200,191,191,189,187,184,182,181,171,206,205,204,205,205,206,206,206,206,214,156,64,163,180,127,83,80,74,163,204,194,192,191,190,186,183,182,181,207,206,206,206,206,207,206,208,207,207,159,97,122,169,157,114,108,62,149,208,195,193,192,191,188,185,184,182,208,208,208,208,209,210,210,210,201,200,167,139,87,97,155,139,120,61,128,212,197,196,195,192,190,188,185,183,211,211,211,211,211,211,212,206,201,185,183,168,121,94,120,146,126,74,107,214,199,198,197,195,193,190,186,184,212,211,211,211,212,212,210,202,184,133,145,173,145,96,96,139,161,108,80,198,205,199,198,197,195,192,189,186,213,214,214,213,213,215,210,201,192,147,77,125,141,79,78,120,173,144,74,140,215,200,200,198,195,193,191,189,214,216,215,215,215,217,213,201,180,152,107,81,116,85,80,163,188,167,90,100,215,202,202,201,197,195,193,191,215,216,217,217,217,217,215,198,196,183,116,88,120,110,131,204,191,151,79,114,217,202,203,201,199,197,195,193,217,218,218,218,218,220,219,196,200,186,130,107,127,189,210,200,168,135,61,151,217,203,203,202,199,198,196,193,219,219,219,219,220,221,221,196,192,181,147,108,129,212,210,182,145,119,66,186,213,205,205,204,201,199,197,193,218,219,219,219,219,221,222,195,177,173,149,112,126,198,189,164,130,95,84,210,209,206,205,204,201,199,203,202,219,219,219,219,220,221,223,204,177,173,149,128,129,196,186,151,115,68,119,222,205,205,203,202,207,204,181,143,220,220,220,221,221,221,222,217,182,172,157,136,119,183,172,132,93,61,183,217,207,207,210,202,177,114,66,60,220,221,222,222,222,223,224,220,192,175,157,134,113,146,137,101,62,100,220,209,209,202,165,109,65,50,46,56
7,200,200,200,199,199,199,199,200,199,198,197,196,192,171,192,190,176,162,152,145,131,117,105,76,57,36,74,162,201,202,202,202,201,201,201,200,200,201,200,199,196,186,192,194,178,158,134,123,104,82,68,50,43,33,83,168,203,203,204,204,204,204,204,204,204,204,202,201,199,190,194,194,184,167,134,108,81,61,46,37,33,39,86,171,205,206,206,206,207,207,207,207,207,205,202,202,202,192,192,193,187,182,175,161,136,98,62,43,44,45,87,172,206,206,206,206,207,207,208,208,207,206,205,203,173,175,195,193,187,187,189,183,178,136,81,59,55,51,89,174,208,207,207,207,207,207,208,208,208,208,209,193,136,152,197,197,190,189,192,183,180,139,70,64,62,59,83,168,209,209,208,209,209,209,209,209,209,209,211,178,151,196,181,187,189,184,191,184,173,124,71,68,70,65,53,97,212,211,211,211,211,212,212,212,211,210,208,182,209,234,191,150,173,178,181,175,158,114,78,72,74,67,41,52,214,213,214,214,214,215,214,208,199,191,191,213,226,223,221,179,145,160,171,168,152,123,90,79,79,67,37,53,214,214,214,214,211,201,188,175,164,149,117,113,137,159,169,158,135,126,139,149,146,126,97,87,82,67,58,125,215,212,203,193,180,169,166,161,157,142,103,80,95,112,117,114,117,115,103,103,114,110,99,94,82,68,87,158,188,179,170,166,164,166,164,159,154,133,100,87,89,97,105,109,112,112,98,87,96,90,95,93,89,78,115,125,169,170,172,170,168,171,170,170,161,140,104,85,91,101,106,105,109,107,93,86,89,90,97,98,119,107,143,92,175,173,173,170,172,176,176,172,164,145,101,78,90,103,113,111,110,107,99,93,89,100,94,94,108,105,101,47,174,174,177,177,175,171,171,165,157,128,89,84,92,97,101,102,103,101,99,92,91,104,96,93,92,103,111,87,182,180,177,175,172,173,171,166,159,127,80,73,73,69,75,80,86,92,91,91,88,90,90,87,86,92,104,94,180,180,176,174,174,174,166,164,170,142,79,61,61,60,84,94,92,130,147,119,112,81,80,89,80,77,72,67,170,172,174,170,169,167,160,165,166,131,80,66,67,65,67,78,95,116,123,101,89,96,104,95,52,59,79,62,162,162,167,165,161,158,156,158,151,113,75,70,72,71,66,73,149,154,110,84,82,109,143,65,22,33,88,104,157,156,156,159,158,155,154,156,151,105,66,55,67,75,69,89,133,89,94,79,81,107,101,35,54,52,90,136,154,154,151,154,155,153,154,153,148,103,61,46,51,65,62,71,91,70,78,73,76,84,82,84,86,79,100,137,153,147,139,139,137,136,138,136,121,90,62,56,63,71,70,72,112,81,117,103,88,79,109,80,64,68,94,128,136,137,125,113,107,107,106,100,84,78,78,107,102,89,93,80,99,98,129,74,57,51,107,90,71,75,72,100,117,120,111,99,92,95,99,97,120,161,168,167,139,115,106,93,68,68,110,61,65,45,72,100,70,79,62,72,110,108,125,135,139,145,173,151,164,174,175,155,165,181,177,107,73,68,86,82,65,59,108,79,67,81,61,67,147,117,191,218,203,178,194,127,166,152,172,179,175,177,187,139,73,106,84,73,56,107,175,108,73,89,69,63,151,123,174,205,208,192,184,112,148,129,162,177,174,172,174,161,121,154,147,95,44,127,170,123,114,146,98,64,129,135,183,209,214,213,184,137,102,113,160,170,162,144,153,159,164,155,163,118,52,121,149,120,144,169,131,77
12,183,183,185,188,189,189,193,193,194,195,194,193,193,193,192,191,190,190,189,189,189,187,186,185,184,182,182,182,184,186,188,189,191,193,194,195,195,196,196,196,196,194,194,195,193,191,191,190,189,189,188,187,186,185,184,184,186,187,189,191,194,195,196,197,197,197,198,198,198,198,198,198,196,193,193,192,192,191,190,190,189,189,186,186,188,189,191,194,196,196,197,199,198,198,199,200,198,198,198,196,197,196,196,195,195,194,193,192,190,190,189,187,189,191,194,197,197,197,200,202,201,201,202,203,203,205,201,198,199,202,204,195,195,195,196,194,193,191,190,189,190,194,196,197,199,201,202,204,204,205,205,202,199,190,200,206,192,161,161,205,202,201,197,197,196,195,192,190,193,196,198,199,202,204,205,205,206,207,204,214,200,148,122,198,184,130,61,161,184,178,204,199,195,195,195,193,196,198,200,203,205,205,207,209,208,209,211,222,198,147,67,143,178,127,80,87,150,89,114,204,197,196,197,195,197,200,204,206,207,206,209,209,210,208,178,212,183,128,63,121,215,150,105,83,134,92,49,141,212,196,198,197,199,200,205,206,207,209,209,209,228,211,138,172,197,140,47,139,255,169,118,112,144,96,53,114,216,198,199,199,201,202,205,207,208,210,207,231,252,211,158,113,244,184,55,121,243,141,86,174,162,111,42,131,217,200,201,201,203,204,206,208,211,215,209,239,242,218,159,87,215,167,86,99,142,103,107,215,142,75,34,148,217,203,205,202,205,206,208,211,212,212,214,254,218,187,130,77,76,103,76,82,144,196,187,145,87,41,48,189,212,205,206,205,204,208,212,213,214,212,244,247,207,130,97,76,27,37,152,194,194,195,175,135,127,58,109,223,205,207,206,207,207,209,212,214,215,216,255,234,182,133,129,58,27,160,240,228,199,178,147,123,128,69,131,227,208,210,208,207,208,210,214,216,216,219,255,237,151,157,161,71,139,250,238,228,198,170,150,119,105,52,144,228,210,213,211,209,210,212,215,217,214,230,255,238,198,175,146,172,233,242,238,219,195,162,140,111,83,40,169,226,212,213,212,211,210,213,216,220,216,239,255,246,221,206,156,197,233,243,226,211,186,145,126,99,73,29,157,230,212,215,214,213,212,214,218,221,217,238,255,250,230,210,167,212,227,231,210,196,168,134,115,86,66,26,154,231,214,217,215,214,215,216,219,223,220,233,255,248,238,206,169,196,219,206,198,188,148,117,95,74,49,36,202,223,218,219,216,215,215,216,219,222,219,228,255,249,238,189,158,184,195,200,185,168,129,102,84,64,26,148,231,219,222,220,219,217,216,215,220,222,234,231,240,238,205,159,158,185,193,202,185,152,130,102,76,45,150,233,220,223,223,221,219,218,214,216,221,221,155,215,242,218,200,193,186,183,203,206,177,134,125,94,40,148,243,222,223,223,224,223,220,218,216,215,230,187,45,100,241,238,225,206,180,158,188,188,144,111,105,50,104,237,225,226,225,223,224,223,222,220,217,219,225,111,86,58,106,183,175,161,151,140,170,154,114,99,64,71,227,231,226,227,227,225,224,224,223,221,214,230,186,73,85,80,7,54,55,53,48,51,80,87,84,70,46,197,239,227,229,229,228,227,226,225,225,223,213,222,121,75,79,89,7,17,44,38,24,16,11,15,25,8,37,210,233,229,230,229,229,228,226,225,224,222,224,183,77,79,76,85,0,0,32,34,23,19,16,13,5,0,0,123,247,226,229,228,228,226,224,224,223,221
22,129,136,140,145,152,158,164,168,172,175,177,178,180,181,182,182,180,179,180,179,178,178,177,176,175,174,172,170,131,138,143,147,154,161,166,168,172,175,178,179,182,184,184,185,184,183,183,181,180,179,177,178,177,176,174,173,133,141,144,148,156,164,167,170,175,176,179,182,183,184,184,181,185,184,183,184,182,179,181,179,178,177,175,175,134,141,144,150,158,164,169,173,174,175,180,184,184,186,186,227,139,171,188,182,190,191,162,183,179,179,177,175,135,143,147,151,160,167,171,174,179,232,139,175,190,186,193,243,117,155,194,178,217,185,123,188,180,179,178,178,138,143,145,153,162,169,173,175,184,245,130,166,194,185,201,230,124,155,196,182,227,156,128,191,181,181,180,179,139,145,147,155,163,170,175,178,178,238,155,153,199,185,207,238,136,158,196,193,226,141,133,194,182,183,182,180,139,146,151,158,165,171,177,181,177,250,192,143,201,187,212,237,142,161,194,212,237,135,150,195,186,185,185,182,141,148,152,160,167,173,176,184,176,243,223,140,197,191,216,227,143,159,196,234,229,131,166,195,187,187,186,184,142,150,154,160,168,175,179,187,179,234,241,137,184,194,222,231,146,153,205,247,203,116,177,195,189,188,187,186,143,151,155,162,168,177,183,188,180,220,255,176,164,198,229,241,149,155,233,250,174,110,191,194,191,190,188,186,146,152,156,164,172,178,185,184,204,222,191,182,153,202,229,231,137,175,255,237,149,131,202,194,192,191,190,188,147,153,157,166,175,180,187,183,255,255,216,176,115,186,216,210,192,223,253,222,123,164,205,195,195,193,192,191,147,154,159,168,177,183,188,191,255,255,254,193,105,110,181,200,226,219,209,175,119,196,203,198,197,195,194,192,149,155,160,170,178,185,189,201,252,236,224,233,177,123,119,155,195,197,186,123,136,211,200,202,200,198,196,194,149,156,161,171,180,186,188,204,255,234,203,250,248,186,112,95,151,182,169,106,149,214,202,203,201,201,198,195,150,156,161,172,181,187,186,220,255,217,187,186,253,230,170,100,98,147,158,111,166,215,204,205,204,203,200,198,151,157,162,173,183,190,186,234,255,213,163,130,190,243,220,161,94,97,122,103,191,214,208,207,206,205,203,200,152,158,162,173,182,191,188,245,255,217,152,179,162,231,254,215,154,91,85,107,208,212,210,208,206,206,204,202,152,157,162,173,182,190,188,246,255,221,147,192,190,255,255,234,194,139,85,116,219,209,210,209,206,205,203,201,152,157,162,173,184,191,189,244,255,209,161,194,221,255,255,232,210,149,80,128,224,209,210,211,209,206,204,203,151,157,163,175,185,193,190,241,255,195,185,187,248,255,255,226,182,133,80,143,225,212,213,211,210,208,206,204,150,156,163,174,183,193,191,234,255,197,204,184,255,255,255,229,160,113,86,167,223,212,212,208,208,207,204,203,152,158,165,175,186,196,196,231,255,211,216,186,255,255,251,214,150,105,93,203,228,221,220,218,217,215,213,214,132,136,139,143,145,150,145,175,255,235,226,197,255,251,234,188,134,105,98,146,149,147,147,146,146,148,140,129,107,107,108,109,107,105,102,118,255,244,225,191,250,235,196,160,123,106,99,94,92,90,90,89,89,76,85,153,117,116,117,118,117,118,116,125,253,227,207,182,208,209,167,145,130,112,102,107,106,104,102,105,102,135,222,232,116,117,118,117,116,116,116,113,222,199,181,172,176,191,177,147,134,115,105,106,105,105,104,97,158,243,228,193
0,200,198,199,199,199,199,198,197,199,199,199,199,199,198,197,198,197,196,196,195,193,192,192,192,191,189,189,189,202,202,201,201,202,202,201,201,201,201,201,200,201,200,199,199,198,197,197,196,196,194,194,195,192,191,190,190,204,204,203,204,204,204,204,204,203,202,202,202,202,201,201,200,199,198,198,197,197,195,196,195,193,191,191,190,204,204,204,204,204,204,203,204,204,203,204,204,202,201,203,202,201,200,200,197,198,197,196,196,196,194,193,192,205,205,205,204,205,204,204,204,205,204,205,205,205,204,204,206,203,202,204,203,199,198,198,198,197,196,195,195,207,206,207,205,205,205,205,205,205,205,206,205,204,205,200,186,201,207,187,183,204,178,174,203,197,196,196,196,207,207,207,207,206,206,205,205,206,205,206,208,210,203,168,133,131,173,150,124,144,181,124,197,200,198,197,195,207,208,208,207,207,208,208,208,209,212,208,189,166,177,165,139,97,104,154,126,93,179,124,162,211,196,199,196,208,208,209,209,208,208,207,208,191,190,198,170,121,102,161,146,123,112,156,131,95,159,154,102,189,205,197,198,209,210,210,210,209,209,206,196,159,117,179,166,131,91,153,154,135,110,162,135,88,133,167,113,109,188,202,198,210,210,210,210,210,210,196,190,166,122,165,172,142,102,148,160,126,107,167,138,83,96,171,144,98,125,213,197,210,211,211,211,212,207,185,183,176,141,150,180,140,106,128,162,123,93,144,124,76,99,176,152,91,133,214,198,213,212,212,212,212,203,173,165,176,149,136,174,136,103,113,161,122,66,88,87,61,144,183,146,80,179,208,200,214,213,211,212,211,198,190,153,160,145,108,157,142,112,82,110,89,43,69,70,108,178,177,120,102,210,202,204,214,214,212,213,209,192,173,126,134,108,68,127,135,105,55,52,66,106,145,130,160,179,159,92,146,215,202,204,214,215,214,216,206,190,180,146,117,85,61,76,95,65,50,81,144,180,177,165,147,165,137,73,186,211,204,204,214,215,215,217,204,193,191,169,133,115,100,102,111,115,136,167,185,178,171,166,132,131,102,84,212,206,206,205,215,216,215,218,202,193,198,174,149,130,120,130,156,179,187,191,192,180,165,155,116,101,65,155,218,206,207,205,215,216,215,218,203,187,198,177,155,127,129,137,180,192,193,196,190,170,154,141,107,59,122,218,207,208,208,207,215,216,215,217,208,178,191,179,161,139,135,152,193,196,193,195,180,157,139,125,73,97,215,210,209,209,210,208,214,215,215,215,215,181,187,185,167,157,145,165,191,195,194,184,161,147,128,95,73,199,213,209,208,209,208,207,215,215,215,215,220,190,177,187,179,166,146,168,188,188,186,169,145,131,111,64,168,219,206,209,209,208,207,205,216,216,217,215,218,203,172,183,177,162,145,161,181,174,166,148,127,112,64,133,222,208,211,210,208,208,207,206,216,216,216,216,217,215,179,180,170,155,145,154,172,162,148,130,109,65,105,217,212,212,210,209,209,209,209,208,216,215,215,217,218,213,185,180,163,149,146,149,166,155,132,116,71,98,214,214,212,213,212,211,210,210,209,208,215,215,215,215,217,205,184,178,170,167,162,153,159,151,122,89,73,207,217,213,213,214,212,211,210,210,208,208,219,218,218,218,221,188,183,185,181,176,166,156,155,138,106,63,141,227,211,215,214,213,214,212,212,211,208,206,185,188,191,194,196,174,186,193,185,175,166,157,142,117,95,66,183,218,214,215,215,214,213,212,211,210,208,207
7,133,148,158,166,171,174,176,178,182,185,186,187,188,190,191,191,191,190,189,189,187,184,183,182,179,178,176,173,134,149,159,167,172,177,177,179,184,187,189,190,191,191,192,193,192,192,191,190,188,187,185,183,182,181,179,176,136,151,161,168,174,177,180,182,185,189,189,192,193,194,196,196,194,194,193,193,190,189,187,186,185,182,182,179,138,151,163,169,175,178,181,184,188,189,190,193,196,197,197,197,197,196,197,196,193,191,190,190,187,186,184,181,139,152,163,171,176,181,183,186,190,191,193,196,196,198,198,199,199,198,198,197,195,193,192,191,189,187,186,183,141,153,164,172,177,182,183,187,191,192,196,197,197,199,199,199,200,200,198,198,197,196,194,193,192,189,187,185,142,154,165,173,180,183,184,188,192,193,196,198,199,201,203,206,208,208,206,204,203,203,198,197,196,191,189,187,142,154,165,173,180,184,186,192,197,200,202,201,198,197,192,182,172,169,167,170,154,139,158,161,176,195,189,189,143,155,167,173,181,186,184,169,160,152,151,151,142,126,117,125,92,97,107,106,101,100,157,151,132,200,191,190,144,157,167,173,180,184,163,123,105,117,118,124,123,114,104,92,87,87,93,83,94,90,102,93,135,195,197,193,146,157,167,173,179,171,149,109,84,92,95,98,102,106,108,108,111,90,91,104,96,90,82,74,96,120,157,197,146,158,167,168,163,150,140,120,101,94,104,116,122,125,125,120,112,78,79,106,92,81,81,69,87,108,102,193,152,165,162,159,150,148,144,128,120,121,127,136,124,120,116,110,85,66,67,70,61,56,56,52,59,74,130,200,174,166,162,158,158,155,136,102,78,89,104,107,91,82,77,69,64,83,102,123,135,148,154,160,165,175,197,198,175,169,169,165,153,130,124,78,59,78,74,51,79,138,153,177,189,204,214,220,219,218,216,215,211,207,200,199,172,171,167,149,127,124,110,74,59,47,34,25,45,92,94,155,226,214,210,209,208,207,207,205,203,202,200,198,174,172,153,132,119,110,113,112,83,46,41,48,43,31,20,24,195,218,213,213,211,210,210,208,207,203,201,199,170,152,126,118,115,113,125,131,94,48,46,50,51,49,42,42,199,219,213,213,213,212,210,210,209,207,204,200,142,125,111,110,106,99,105,99,61,40,32,31,40,40,36,28,186,222,212,214,214,213,211,210,208,207,204,201,123,115,109,108,101,84,81,69,50,29,19,34,46,47,32,38,185,222,213,215,214,213,210,209,208,207,203,200,117,107,100,93,81,65,62,71,67,42,46,58,54,33,54,194,221,216,216,216,214,213,210,209,209,207,205,202,101,88,83,78,75,74,83,94,77,50,39,37,47,74,184,223,215,216,216,215,214,212,209,208,208,206,205,201,96,91,89,82,77,78,82,77,48,42,103,149,183,212,217,210,214,212,213,212,211,210,208,206,205,205,202,200,87,88,85,76,66,60,55,54,86,168,213,217,215,210,210,213,214,213,212,212,211,210,208,207,207,204,201,198,50,52,68,67,68,79,118,168,203,208,202,204,208,210,211,214,214,214,213,212,211,209,208,208,206,202,201,197,0,0,156,157,171,186,197,198,197,200,203,207,208,209,210,211,211,210,210,210,210,208,207,206,202,200,198,196,0,19,173,172,183,185,186,192,197,201,204,208,211,213,213,213,213,213,214,213,214,212,210,209,206,205,204,200,0,59,195,173,177,179,180,181,182,183,180,180,182,182,182,177,174,174,172,167,163,160,157,153,149,142,136,98
4,154,156,159,161,164,165,168,171,173,176,179,179,180,182,183,184,183,183,184,185,185,186,186,186,184,184,184,184,157,159,162,164,166,168,170,173,175,177,180,181,182,185,191,192,178,172,182,186,187,188,188,187,187,186,186,186,160,163,165,168,170,171,173,176,178,180,186,187,177,186,212,206,161,132,159,177,181,187,190,190,189,189,188,188,163,166,168,171,173,175,177,180,181,193,209,202,162,144,172,188,146,103,108,132,140,166,190,192,192,192,190,189,166,168,171,174,177,180,188,183,171,198,218,209,162,112,106,153,140,97,83,111,110,126,184,194,194,194,193,192,169,171,174,177,180,191,214,202,170,168,173,196,168,116,78,124,152,118,90,120,124,119,178,196,196,196,195,195,172,175,177,180,184,207,215,203,188,161,131,161,176,126,69,126,174,143,110,120,131,127,170,198,199,198,198,198,176,178,181,183,192,220,205,176,164,140,104,119,164,123,78,142,174,141,108,102,110,113,145,193,201,201,200,200,178,181,184,186,196,225,216,185,164,149,127,107,128,110,90,129,151,130,111,104,100,104,125,172,202,203,201,201,180,183,186,189,195,219,219,198,173,151,133,110,109,116,115,131,147,137,127,111,100,119,127,142,192,205,204,203,182,186,189,192,196,216,218,196,167,139,119,107,110,125,134,149,161,156,149,135,133,152,147,131,165,203,207,206,185,188,191,194,198,220,222,198,169,136,114,106,113,127,144,163,176,185,196,199,191,180,160,136,133,186,208,209,187,190,193,197,201,223,229,205,175,142,117,109,115,131,156,181,188,206,216,212,199,179,151,123,107,157,207,211,189,193,196,198,202,222,233,211,185,154,124,112,115,135,169,189,194,209,212,202,186,165,140,114,97,130,201,214,190,195,198,201,205,224,236,217,195,165,135,119,120,138,174,195,205,214,213,200,178,157,134,110,95,120,197,216,193,197,200,203,207,225,239,224,203,175,147,131,129,138,172,201,214,217,213,200,175,149,125,104,94,135,206,218,195,199,202,205,208,223,239,230,212,183,158,147,141,142,172,202,216,218,213,198,169,139,115,99,100,167,218,221,197,200,204,207,209,220,236,235,221,194,170,160,152,150,176,201,214,218,212,192,161,131,110,95,116,197,223,223,199,202,206,208,210,217,232,237,227,204,182,170,160,156,180,201,210,214,203,179,150,125,106,95,146,216,225,225,202,205,208,211,213,215,226,235,229,209,190,177,165,159,176,201,206,203,187,162,139,119,103,105,181,225,227,227,205,208,210,213,216,216,219,229,226,211,193,180,169,157,161,191,200,189,169,146,127,114,100,128,209,228,229,229,207,210,212,215,218,219,215,226,227,213,194,182,172,155,150,179,194,182,159,134,117,108,107,169,224,229,230,230,210,212,215,218,221,222,216,227,231,215,193,182,173,157,147,169,184,172,147,123,106,103,143,211,231,231,231,231,212,214,217,220,223,224,219,229,230,209,188,179,174,156,144,161,171,157,130,110,100,137,203,230,233,233,232,232,213,216,219,222,224,225,222,231,228,204,186,183,178,161,145,151,154,141,116,99,123,197,230,234,234,232,225,214,215,218,221,223,225,227,220,230,231,207,195,194,185,170,147,140,139,130,107,101,170,226,234,231,217,189,152,124,217,220,222,224,227,228,217,230,236,215,208,208,191,173,146,130,128,124,100,116,203,233,226,188,134,93,72,61,219,221,223,225,228,226,200,224,241,227,222,217,194,174,145,127,126,122,98,134,219,231,187,117,77,54,47,44
10,162,164,164,164,165,166,166,167,166,165,165,166,165,164,163,162,160,160,156,157,156,153,152,151,150,148,146,146,169,169,169,170,170,170,170,171,171,170,169,169,168,168,166,164,163,161,164,153,151,156,154,152,151,150,148,147,175,174,175,177,177,177,177,177,176,176,175,174,173,172,170,167,167,160,190,151,109,163,155,153,153,152,151,150,180,180,180,181,182,181,182,181,181,181,180,179,179,176,174,172,171,166,197,160,94,159,159,157,156,154,153,151,186,186,186,186,187,187,186,185,185,186,185,184,183,181,178,177,177,172,199,159,92,158,166,161,159,157,155,153,191,191,191,190,193,192,190,191,191,192,191,190,187,186,184,182,181,178,200,148,87,160,172,165,162,161,159,157,196,197,195,196,198,197,196,196,197,197,196,194,192,191,189,187,186,183,207,165,92,162,177,170,167,166,163,159,201,202,201,201,202,203,202,201,202,202,202,199,197,195,194,193,190,190,215,158,131,167,180,174,171,169,166,163,204,204,205,206,206,207,206,205,206,207,205,203,203,201,199,197,193,207,210,184,160,123,189,177,175,172,170,167,207,208,208,210,210,210,210,209,210,211,209,208,207,205,203,201,194,179,185,206,149,86,192,182,179,176,174,171,211,211,212,214,213,212,212,212,213,213,212,211,210,210,208,207,205,177,150,165,166,74,138,200,182,181,177,175,215,215,214,215,215,216,216,215,217,217,216,214,212,212,207,202,222,218,176,127,116,109,70,174,192,184,180,180,218,217,218,219,220,220,219,220,221,221,220,220,222,218,183,146,138,186,196,189,135,97,76,115,204,184,185,185,221,221,221,222,222,222,223,223,222,222,223,201,170,203,207,168,98,51,180,200,117,71,62,117,206,190,189,187,224,224,225,225,226,225,224,226,225,223,222,200,154,138,222,199,143,39,50,101,109,84,57,132,210,193,193,190,227,227,227,227,229,228,227,227,228,225,219,220,204,146,175,224,160,91,37,48,174,134,61,141,212,197,195,191,228,228,229,229,229,229,229,230,229,227,189,180,211,173,119,200,172,109,52,82,174,170,73,138,217,200,198,195,229,230,230,230,231,231,232,233,229,228,204,135,159,164,67,135,184,101,60,96,162,170,72,129,218,200,200,197,232,232,233,234,234,234,234,234,233,220,191,140,114,142,81,91,187,153,85,108,160,126,61,144,219,202,202,198,235,235,235,235,235,236,236,237,232,222,217,189,122,129,127,90,167,197,119,94,140,90,62,186,215,205,204,201,236,236,236,236,237,237,237,238,234,226,235,201,152,128,125,109,176,177,101,81,123,78,85,218,210,208,206,204,237,237,236,237,238,238,237,238,239,223,235,219,178,143,134,161,230,207,140,111,114,68,125,229,210,210,208,205,239,239,238,239,240,241,241,242,243,224,220,219,191,159,149,172,227,222,187,140,109,59,166,229,212,212,209,206,239,239,241,241,241,243,244,243,245,229,209,216,200,186,165,171,219,211,167,123,95,68,206,223,216,213,211,207,238,238,238,239,240,242,243,242,244,240,207,206,210,204,173,159,205,186,149,112,68,105,232,218,218,214,212,210,238,239,239,240,241,243,243,243,242,246,218,190,204,194,171,143,173,163,127,97,47,166,231,216,216,213,211,208,239,240,242,242,242,244,245,245,244,245,240,202,197,185,166,142,150,162,126,76,85,223,221,218,216,213,210,213,240,241,243,243,243,244,245,245,246,246,240,219,198,178,167,155,143,158,121,58,159,238,219,220,217,213,215,169
12,196,197,198,199,201,201,202,203,203,203,204,204,204,205,206,206,206,206,206,206,205,206,206,205,205,204,203,203,198,199,200,200,201,202,203,205,204,205,205,205,206,206,207,206,207,208,208,207,207,207,207,206,206,205,205,204,199,200,201,202,203,203,205,206,206,206,207,207,208,212,209,201,202,208,209,207,207,208,208,207,207,207,207,206,201,202,203,204,205,205,206,207,208,215,217,208,207,223,215,186,175,204,209,196,198,207,209,209,209,208,208,208,201,202,204,205,207,207,207,207,215,237,234,207,197,227,219,176,146,193,207,178,170,201,210,210,210,210,210,209,202,203,205,207,208,208,208,208,220,246,239,205,192,228,220,179,145,192,198,163,140,186,212,211,211,211,211,210,203,205,207,208,208,209,211,213,221,238,235,207,189,227,221,186,162,201,192,150,124,169,212,213,212,212,212,212,205,206,208,208,209,210,221,228,211,208,222,213,180,217,223,182,171,207,192,144,115,159,210,214,214,214,213,213,206,207,209,210,210,216,238,237,204,177,192,189,156,189,201,159,169,205,174,130,109,153,209,215,215,215,214,214,207,209,210,211,212,226,247,242,213,171,166,157,122,131,145,142,172,186,145,117,111,152,210,217,217,216,215,215,209,210,211,211,214,233,246,242,220,181,152,138,112,102,125,179,206,195,160,145,138,161,213,218,218,217,216,215,210,211,212,212,216,236,236,234,223,192,151,121,119,128,180,230,236,217,189,174,159,166,213,219,219,217,217,217,211,212,213,213,221,244,241,223,216,196,158,121,120,171,235,248,240,222,196,173,152,157,210,220,220,218,218,218,212,214,215,215,228,250,244,219,207,196,171,138,132,210,250,250,240,222,195,166,141,152,211,222,221,220,219,220,213,215,216,216,229,251,248,228,202,191,190,171,167,235,253,250,240,219,189,160,137,150,211,223,222,222,221,221,214,215,217,217,227,250,250,233,207,189,188,197,215,249,252,249,238,215,186,158,134,143,208,224,223,223,222,221,215,216,217,218,228,251,252,240,225,211,200,220,239,252,248,245,236,212,186,154,130,143,209,226,224,224,223,223,216,217,218,219,230,251,254,248,237,229,217,225,238,250,244,239,230,211,181,148,126,157,217,226,226,225,225,225,216,217,219,220,229,251,254,251,243,232,222,224,231,244,239,229,222,206,170,137,129,185,225,226,227,226,226,226,217,218,220,222,227,247,254,252,244,229,219,223,228,238,233,222,214,194,156,127,148,211,228,227,227,227,227,227,218,219,221,223,225,241,252,248,239,224,214,218,225,233,229,217,203,176,139,127,183,226,229,228,228,227,228,227,218,218,218,219,217,228,235,223,214,205,200,205,210,217,210,196,179,151,122,150,215,230,231,230,229,229,229,229,201,193,186,178,168,164,161,148,140,136,132,133,129,129,125,118,113,104,102,162,216,229,232,231,230,230,230,230,161,152,146,139,126,116,112,104,96,89,84,79,70,67,66,63,61,60,64,93,142,207,231,231,230,230,229,229,152,140,138,131,121,112,106,99,91,84,79,72,63,60,59,56,53,50,50,52,86,191,230,230,230,229,229,228,167,141,137,131,120,112,104,98,90,83,77,70,63,60,60,57,52,49,47,52,124,216,231,231,230,230,230,229,181,144,136,129,120,112,103,96,88,81,76,69,63,61,60,56,51,47,46,64,171,231,233,232,231,231,231,231,189,147,135,129,121,112,104,96,88,79,74,69,63,61,59,56,51,47,47,76,191,234,235,234,233,232,232,232
4,121,127,132,135,138,142,145,148,150,152,154,157,159,161,163,164,165,165,167,170,170,171,172,173,173,173,173,174,122,127,133,136,139,141,145,148,150,152,153,157,159,163,163,163,166,167,168,168,172,172,174,174,174,174,174,175,123,128,133,137,141,144,146,149,150,153,155,159,159,163,164,167,163,157,163,169,169,171,174,175,176,175,175,175,124,130,134,138,142,145,148,150,152,155,153,162,168,157,151,182,161,122,101,145,137,130,170,177,176,177,177,178,125,131,135,138,142,146,150,149,154,170,151,143,160,155,118,149,151,113,71,107,122,96,125,178,178,178,178,179,124,130,135,138,143,148,150,150,175,191,173,145,112,113,105,125,147,103,68,128,122,90,84,179,180,180,181,181,126,132,137,139,144,148,150,151,194,164,174,134,99,72,83,131,157,105,108,142,108,71,68,174,180,180,182,181,128,132,137,140,144,148,149,162,183,142,169,110,80,72,78,113,142,140,154,139,113,64,81,178,181,181,183,183,128,133,138,141,146,149,149,178,177,145,161,110,72,90,104,115,140,152,139,149,133,108,100,183,183,183,184,184,126,133,138,143,145,150,150,191,167,148,144,117,60,110,154,143,142,136,121,165,151,138,116,169,183,184,186,187,127,134,139,143,147,151,158,187,149,124,112,88,52,71,125,122,118,103,108,168,168,157,131,117,178,186,187,187,127,134,140,143,148,149,177,185,152,126,106,78,56,51,63,76,83,95,130,155,170,160,141,111,129,186,187,188,128,135,140,145,150,151,197,181,154,135,111,88,69,59,66,79,119,171,168,159,154,138,133,119,94,170,189,189,129,136,140,145,149,157,206,183,164,139,110,90,75,74,110,158,183,188,170,154,138,117,115,111,91,159,190,190,131,136,141,145,149,174,210,187,163,134,113,105,86,114,170,188,191,187,165,145,127,105,95,98,97,180,190,190,131,137,143,146,150,190,211,187,158,137,128,115,111,159,178,184,187,177,158,136,117,98,88,87,144,189,190,190,132,136,142,146,148,196,209,182,163,154,144,127,147,170,180,183,177,166,145,124,108,92,84,104,182,189,192,193,132,138,143,148,149,200,209,189,175,164,150,140,163,174,182,177,162,150,131,113,101,86,82,161,191,190,194,194,133,138,143,147,149,193,209,196,182,166,148,139,159,172,172,165,149,137,121,104,92,81,120,189,192,191,195,195,134,139,144,147,150,181,207,194,181,165,144,131,149,160,160,152,136,126,110,94,85,91,175,193,193,192,194,195,134,140,145,149,153,170,201,184,167,155,139,138,147,158,157,145,125,114,99,86,82,156,192,194,194,195,195,195,135,140,146,150,154,166,194,168,158,151,144,149,142,149,148,136,119,105,91,78,133,188,194,194,195,196,196,196,135,140,145,151,154,165,190,168,166,159,164,159,139,137,140,127,108,97,81,106,183,191,194,195,195,197,196,197,136,141,146,151,155,175,190,175,172,166,161,151,133,122,130,117,100,91,80,166,190,194,196,196,196,197,197,197,137,142,146,151,179,191,174,165,171,169,153,139,125,113,117,108,95,79,114,189,193,194,195,196,197,197,197,198,137,141,146,162,197,192,189,137,143,163,145,130,120,104,104,101,91,72,134,191,193,194,196,196,197,197,198,199,137,143,149,191,191,190,191,185,121,122,128,125,110,91,99,93,86,71,141,193,193,195,196,198,198,198,199,199,138,142,172,196,186,191,193,187,181,111,98,113,102,88,94,88,82,69,147,192,195,195,196,198,199,199,200,200
1,167,169,170,171,173,172,171,171,171,170,169,168,169,168,167,170,168,164,162,162,160,158,155,154,152,151,149,147,169,169,171,172,172,173,172,172,171,170,169,170,168,170,170,142,154,166,161,161,160,158,155,155,153,152,150,148,169,169,171,173,173,174,174,174,173,172,171,173,168,134,152,120,110,174,165,161,160,159,157,156,154,152,151,150,170,172,173,173,173,175,174,174,174,173,172,173,172,111,112,133,84,110,131,168,161,160,158,157,155,153,152,151,172,174,174,175,176,176,176,177,176,175,174,174,169,104,114,133,67,93,91,162,165,161,159,158,155,153,153,151,174,176,175,177,177,178,178,178,178,176,174,179,162,92,123,122,64,113,86,149,168,161,161,159,158,156,155,154,176,176,177,180,180,181,180,180,180,180,141,151,159,90,138,124,71,119,79,141,172,163,163,161,160,158,156,154,177,179,180,181,181,182,182,181,180,183,128,115,162,95,137,117,72,126,86,139,174,165,166,164,161,160,158,155,180,181,181,181,182,182,183,183,183,181,112,120,142,87,138,100,81,138,89,133,176,166,167,165,163,161,160,159,181,182,183,184,185,184,184,184,186,176,97,130,126,88,142,98,101,141,78,133,179,168,168,167,164,162,160,160,182,182,183,185,185,186,187,186,187,177,99,131,139,94,145,111,99,137,80,140,180,171,170,169,166,164,161,160,183,183,184,186,186,187,188,186,191,168,86,131,149,92,138,111,90,141,94,138,181,171,171,169,168,165,163,161,182,185,187,187,188,189,189,187,193,169,92,127,139,75,119,85,88,146,88,135,185,172,173,170,169,166,165,162,184,187,188,188,189,190,191,188,194,176,96,109,137,99,118,127,125,110,88,118,176,175,173,172,170,167,166,164,186,187,189,190,190,191,191,189,196,165,114,129,126,130,125,131,132,96,97,81,116,184,172,172,171,168,167,166,187,188,189,191,192,193,193,193,196,174,152,125,101,110,113,121,119,108,90,94,93,172,175,172,171,168,167,166,187,189,190,191,193,194,195,194,200,177,138,102,95,98,117,128,109,100,120,136,92,143,184,173,172,168,167,165,188,189,190,193,194,193,195,197,201,173,132,96,97,103,126,133,137,145,132,145,114,113,184,174,174,170,167,166,190,190,192,194,194,195,196,197,197,176,137,98,98,110,130,143,152,169,138,133,129,90,173,178,173,173,169,167,190,191,194,194,195,196,197,197,193,177,146,108,89,113,132,148,151,153,150,123,103,69,166,179,173,172,170,168,191,192,193,195,196,196,197,198,191,180,156,121,95,99,134,160,161,155,136,113,87,76,179,177,174,172,171,169,190,191,193,195,196,197,197,198,191,175,154,125,103,99,140,169,162,149,129,108,71,116,190,176,175,173,172,169,190,192,194,196,196,197,198,200,190,172,155,131,109,111,149,167,155,141,120,100,65,160,186,178,176,174,172,169,191,194,195,196,197,198,199,200,195,174,157,142,123,120,156,162,154,135,112,79,88,190,180,179,177,175,174,171,192,193,195,197,198,198,200,201,200,179,160,148,133,120,146,150,139,121,100,55,146,192,181,181,178,177,174,173,193,194,195,198,199,200,201,201,201,189,167,153,137,118,131,135,118,102,61,97,193,185,183,182,179,177,175,173,193,194,196,197,196,198,201,203,200,192,171,145,135,127,125,121,101,66,91,190,189,186,183,182,179,176,175,173,192,195,196,197,197,200,203,204,195,190,172,149,150,131,118,108,76,64,178,195,186,187,183,181,179,176,175,173
11,148,153,158,163,166,170,173,177,179,181,182,183,184,188,187,187,187,187,187,187,187,186,184,188,156,135,171,207,150,154,159,164,168,172,174,177,180,181,183,183,199,175,186,186,187,187,186,186,186,185,183,188,163,149,172,210,154,158,163,168,171,174,177,180,183,184,186,183,217,157,171,192,187,188,187,187,186,185,184,182,173,208,202,206,157,161,167,172,176,179,183,186,187,188,190,187,228,164,151,197,188,189,189,188,187,187,186,180,196,182,204,206,161,165,171,176,180,184,187,190,192,194,195,193,231,160,142,200,193,193,193,192,191,190,189,188,191,164,212,206,164,169,177,182,185,188,192,195,198,199,200,200,230,153,148,206,197,199,198,197,196,195,193,190,192,207,202,206,167,172,181,187,191,193,197,200,203,205,204,209,236,149,155,212,202,203,203,202,201,199,197,194,195,182,171,208,168,175,185,191,195,199,203,206,208,210,206,227,239,130,169,217,207,207,207,206,205,203,202,199,198,190,190,206,171,179,190,195,199,203,208,211,212,215,210,234,222,130,186,221,213,213,212,211,210,208,206,204,202,199,203,211,174,182,193,199,203,207,211,215,217,216,230,232,154,122,194,224,216,216,215,215,215,212,210,208,206,203,205,221,177,185,196,202,207,211,215,218,218,220,220,223,160,123,202,226,221,220,221,220,219,217,214,212,210,206,206,222,180,188,199,205,209,214,218,223,241,238,148,146,179,135,207,229,224,224,224,223,222,220,218,217,213,211,213,221,182,192,202,208,213,216,221,210,229,226,158,126,172,147,192,235,226,227,227,226,225,223,221,218,218,207,196,225,184,194,204,211,214,220,243,195,135,168,190,139,153,147,173,239,228,230,230,229,229,227,226,223,231,157,132,229,186,197,207,210,223,244,233,211,172,132,176,154,131,153,147,236,232,234,233,230,225,215,201,199,195,125,108,137,188,199,207,223,245,211,172,197,210,149,135,145,123,166,142,222,242,234,227,220,225,207,187,185,167,126,114,106,189,201,208,242,232,177,143,136,199,156,121,138,115,181,177,181,228,226,232,230,222,198,175,156,138,118,111,111,191,202,211,239,214,163,138,108,172,163,123,150,108,148,187,136,192,232,234,210,175,147,115,99,108,104,107,109,193,203,210,231,198,152,132,115,145,171,131,163,128,154,178,167,205,216,191,149,123,105,96,99,99,99,100,108,194,205,211,231,214,170,145,128,127,152,148,170,154,212,190,163,182,166,128,97,104,110,96,95,96,97,105,81,194,205,212,235,219,176,155,136,134,145,182,212,217,214,176,153,150,101,96,99,92,106,106,90,89,95,95,77,194,205,212,236,223,191,166,140,146,155,217,243,231,195,159,142,109,96,85,104,92,91,106,100,86,86,86,88,193,205,212,232,224,200,169,148,156,162,223,230,204,175,151,113,74,103,91,88,102,91,93,101,94,85,87,87,197,209,219,227,219,207,175,162,161,164,208,221,190,158,141,110,71,86,104,85,94,100,89,90,98,86,85,86,170,178,182,193,219,210,181,174,162,164,193,209,184,154,121,103,84,73,101,98,86,94,96,85,90,93,79,85,148,148,144,158,219,206,187,180,162,153,183,185,164,133,84,93,97,66,89,101,93,90,92,88,83,92,82,76,153,154,151,165,223,210,192,179,162,147,164,157,136,100,74,85,105,72,75,100,96,92,89,87,80,84,86,76,152,153,154,157,220,212,186,172,159,149,154,146,98,86,83,79,104,86,65,90,99,90,89,87,84,81,79,80
14,167,166,166,166,167,167,168,168,168,168,169,168,168,168,168,168,169,169,168,168,168,167,167,167,166,166,165,134,169,169,169,169,169,169,170,171,171,171,172,171,170,170,170,171,171,171,170,170,170,169,168,169,168,167,166,123,171,171,171,170,172,172,172,173,172,173,171,171,172,173,171,173,174,173,173,173,173,171,170,170,170,170,169,147,174,173,174,174,175,174,174,175,178,179,171,164,173,171,160,159,170,175,176,176,175,175,174,174,172,172,171,163,177,177,177,178,178,177,177,186,193,166,158,157,160,150,127,137,153,159,163,179,178,179,178,177,175,175,174,171,180,180,179,181,180,186,195,188,168,116,95,111,122,118,89,86,131,124,109,175,181,181,180,179,177,177,177,175,182,181,182,183,180,198,201,143,107,80,52,62,77,82,66,63,89,91,77,155,184,181,175,178,179,179,179,178,184,183,183,185,181,206,196,129,70,54,46,44,50,56,58,53,63,73,86,105,153,157,138,147,180,180,181,180,186,185,186,187,182,211,193,137,80,56,52,49,48,47,54,52,56,85,117,97,93,147,131,137,184,183,183,182,188,187,188,188,184,211,181,121,68,50,52,59,56,49,55,60,62,77,91,75,125,160,111,153,188,186,186,185,189,188,189,188,193,212,180,137,94,61,50,56,52,61,57,81,126,155,141,118,165,156,101,162,190,188,187,187,190,191,191,190,200,216,186,150,114,82,67,53,56,76,69,125,193,193,194,175,177,154,99,157,191,190,189,188,193,194,194,191,206,221,195,155,108,82,71,66,67,70,74,160,196,194,192,170,173,146,99,147,194,191,190,189,194,194,195,192,210,226,201,157,103,76,67,65,77,71,94,190,195,195,186,174,174,142,96,131,196,193,191,191,194,195,196,194,211,227,203,168,121,82,62,62,74,71,120,200,196,195,179,186,177,135,90,153,197,194,194,193,195,196,198,194,209,229,206,173,133,91,63,60,68,63,132,189,196,187,170,187,175,120,110,191,197,196,196,194,198,199,200,193,204,228,208,179,143,98,69,62,60,62,99,126,159,160,168,177,157,105,158,201,198,198,196,196,200,200,200,193,204,227,210,182,151,111,77,52,62,74,94,119,138,147,160,161,130,113,191,201,200,201,199,198,200,200,201,195,205,227,214,185,156,122,89,55,67,82,110,135,147,144,140,134,105,149,203,203,203,202,201,199,201,201,202,194,202,226,215,190,161,128,97,65,68,93,127,148,151,135,120,105,95,185,204,203,203,203,202,201,203,201,202,194,197,224,214,193,164,133,102,78,68,93,130,149,149,129,102,90,119,203,203,203,203,204,204,203,203,202,203,196,195,221,213,196,168,139,106,87,71,87,127,148,142,117,93,95,174,206,205,205,203,204,204,203,205,205,204,195,198,219,213,197,172,146,114,95,81,84,131,144,133,107,84,135,208,207,206,206,205,205,204,203,207,207,206,195,202,222,212,196,177,152,116,101,93,81,127,130,119,97,82,175,211,208,208,207,206,206,206,206,207,208,209,196,208,225,211,197,183,156,119,103,96,83,110,117,110,89,103,203,211,209,208,208,207,206,207,206,208,208,209,197,218,224,214,205,184,156,119,102,93,84,97,104,99,83,154,213,212,211,209,208,208,207,207,206,208,208,204,196,224,225,215,201,175,143,113,97,89,85,91,93,88,115,203,214,212,211,210,209,208,208,208,207,210,209,199,197,221,223,212,189,158,128,104,91,85,88,90,90,92,177,215,213,213,212,212,210,210,209,209,208
20,163,165,168,169,171,173,173,174,175,175,175,175,174,174,173,172,171,171,169,170,168,166,165,163,163,161,161,160,164,166,169,170,172,175,175,176,177,177,177,178,176,175,176,173,172,171,170,158,167,168,167,165,165,164,163,163,165,167,170,172,173,175,176,178,178,179,179,178,177,176,177,176,173,173,179,122,129,175,169,167,167,166,165,164,166,168,171,173,174,176,178,178,179,180,180,178,178,178,178,177,175,177,180,113,112,153,166,170,168,167,166,165,167,169,171,173,175,177,178,179,181,181,180,179,179,179,178,177,177,183,170,109,82,111,125,174,169,167,166,166,168,171,173,175,176,178,180,180,182,183,182,181,181,180,180,181,177,191,164,100,102,129,110,174,170,169,167,167,169,172,174,176,177,180,181,182,184,184,184,183,182,181,181,181,179,194,159,98,140,134,106,174,172,170,169,168,170,173,175,178,179,181,183,184,186,186,185,185,184,184,183,182,181,192,149,99,163,140,111,174,174,172,172,170,171,174,177,179,180,182,184,185,186,187,187,187,187,185,185,185,186,187,137,111,172,135,118,178,175,173,172,171,173,175,178,180,182,183,184,186,187,187,187,188,188,181,149,158,197,185,131,133,174,124,122,181,176,175,174,172,174,177,178,181,182,184,186,187,188,190,188,188,186,187,145,106,169,174,119,152,181,120,129,183,178,177,175,174,174,177,179,182,183,186,188,189,189,190,188,194,191,187,179,143,119,111,90,151,168,111,142,184,180,178,177,176,175,178,182,185,185,186,188,189,191,192,191,202,198,193,204,184,134,85,63,122,139,104,155,184,182,179,178,178,177,180,183,186,187,189,190,192,193,192,196,188,147,177,180,180,138,93,78,96,104,93,166,184,181,179,179,178,178,181,184,186,188,189,191,193,193,192,205,176,121,160,155,177,160,113,84,79,87,90,175,185,182,180,180,178,179,181,184,186,188,190,193,194,193,193,208,186,148,122,102,153,176,131,91,76,79,95,182,186,183,181,181,181,180,182,184,186,188,191,194,195,195,196,196,156,129,106,74,110,190,147,106,83,75,105,188,185,184,183,182,181,181,182,185,187,188,192,194,196,195,203,194,156,142,120,97,162,195,155,130,94,76,118,192,186,186,185,182,181,180,183,186,188,190,192,195,196,195,208,189,166,140,120,165,211,183,150,139,100,82,127,193,187,186,185,183,182,181,184,186,188,190,193,195,196,198,215,198,161,133,149,219,193,163,138,129,102,88,143,193,187,187,186,184,182,182,184,186,189,192,194,197,198,204,225,192,147,143,185,222,185,155,124,113,102,94,166,192,189,188,187,185,183,182,185,188,190,193,194,197,197,207,221,169,164,144,202,212,181,152,125,99,97,103,184,192,190,188,188,186,184,180,183,187,189,192,193,195,196,208,209,186,180,143,211,201,169,142,121,99,94,122,192,190,189,188,187,185,184,180,182,185,188,191,194,195,196,202,209,207,170,164,209,182,152,129,110,100,93,150,194,191,188,188,187,185,183,181,183,187,189,192,193,195,195,198,209,201,168,154,186,169,138,117,102,97,100,177,194,192,189,188,187,185,184,180,184,188,190,192,194,196,196,199,200,178,161,150,165,161,135,119,103,89,123,192,193,192,189,188,188,186,185,180,184,187,189,192,194,196,196,198,188,172,164,163,163,169,151,117,99,87,149,197,193,191,189,188,188,187,185,179,183,186,189,192,194,196,197,197,199,191,190,181,166,162,150,111,93,90,170,196,191,190,189,188,187,186,185
21,185,188,190,192,195,196,197,198,199,199,199,199,198,198,196,196,194,193,193,193,190,188,188,187,185,184,181,181,187,189,192,194,196,197,199,200,201,201,202,201,201,200,200,197,200,196,194,194,193,191,189,188,188,186,184,182,188,191,194,195,197,199,202,202,203,203,203,203,203,202,201,198,177,195,198,196,195,193,191,191,190,188,187,184,189,192,195,195,198,201,204,204,205,205,205,204,204,203,204,212,126,167,205,197,198,195,191,192,191,190,190,188,190,194,197,197,200,202,205,206,206,206,206,206,206,203,211,202,122,174,206,197,198,200,196,195,194,192,191,191,191,195,198,199,201,204,205,206,207,207,207,208,209,202,220,194,125,190,206,200,199,182,192,199,196,195,192,190,193,195,198,201,203,204,206,208,209,209,211,210,209,205,226,189,131,200,205,203,187,132,154,206,195,196,194,193,195,198,201,203,205,206,209,210,211,211,211,211,210,211,229,178,137,207,206,199,178,125,167,205,196,197,196,195,195,198,202,204,206,209,210,211,212,212,214,212,209,215,224,167,135,211,206,194,168,126,197,202,199,199,197,195,195,200,204,205,208,210,211,212,213,213,213,215,214,224,218,150,140,216,200,192,151,150,210,200,201,199,198,196,198,201,204,206,209,211,213,212,215,216,214,181,179,239,213,135,166,215,185,181,127,181,210,203,203,201,200,198,198,202,205,207,210,211,213,215,217,215,223,183,128,167,167,118,185,205,189,153,133,210,207,206,204,202,201,200,199,203,206,208,211,212,214,217,216,221,222,218,185,144,111,111,196,195,185,125,174,216,207,206,205,204,202,200,200,205,207,210,212,214,216,216,221,233,221,239,224,162,112,114,147,159,148,130,210,210,210,209,207,206,204,201,202,205,209,211,213,216,218,219,233,187,208,208,208,157,117,110,116,125,112,171,219,210,210,209,209,206,204,202,203,206,210,213,215,217,216,229,223,166,179,144,197,180,129,109,108,112,124,211,215,211,210,210,210,209,205,203,203,208,211,213,216,219,217,234,218,179,139,100,179,200,143,113,106,102,163,225,214,214,213,212,211,210,208,206,205,209,213,215,218,218,222,236,190,157,144,113,187,213,161,128,111,102,193,223,215,215,215,214,212,209,208,206,206,211,213,216,219,218,231,236,194,183,152,174,245,205,177,146,115,104,197,224,217,217,215,214,212,212,210,207,206,210,212,216,220,217,237,237,210,170,164,243,233,188,173,147,121,116,204,224,220,219,215,215,215,213,211,210,207,211,213,217,220,219,245,253,203,169,204,255,213,178,155,147,124,127,216,222,220,219,218,218,217,214,211,210,208,212,214,218,220,220,250,234,193,186,216,253,212,189,146,133,122,146,227,221,220,220,219,218,216,214,212,211,209,212,216,218,222,221,244,218,220,186,221,246,203,182,150,127,118,173,231,222,222,220,219,218,217,216,213,212,206,210,213,216,220,223,231,237,237,186,235,226,189,162,141,131,121,199,229,222,221,221,220,220,218,215,214,211,205,209,213,216,220,221,227,238,224,180,215,209,172,145,132,124,133,217,226,222,220,219,219,218,216,214,213,210,206,210,213,217,221,222,230,225,204,182,196,199,170,150,135,116,154,230,223,224,222,220,221,218,217,215,213,211,206,210,214,218,221,224,228,221,202,202,202,197,192,151,131,110,175,232,224,225,221,221,221,219,218,216,214,211,206,210,213,217,220,223,225,225,229,226,208,189,189,149,122,109,193,232,224,224,222,221,220,219,217,216,214,212
3,136,138,140,142,146,147,148,149,149,149,149,150,150,149,148,145,160,162,90,130,146,142,141,140,138,136,135,133,138,141,143,144,147,148,150,152,152,152,152,151,152,151,151,146,164,151,78,108,152,143,142,142,140,138,136,135,139,142,144,146,149,151,152,153,154,154,154,154,153,153,152,148,163,142,79,100,154,144,144,144,142,139,137,136,140,144,146,147,150,153,154,155,156,156,156,155,155,154,153,151,163,144,80,96,154,146,146,144,142,141,140,137,143,145,148,150,152,154,156,157,158,158,158,157,157,156,155,152,167,165,97,90,152,148,147,146,144,143,141,138,145,147,149,152,154,156,158,159,160,160,160,160,159,158,157,152,172,168,97,83,152,149,148,147,145,143,142,141,146,149,151,154,157,159,160,161,162,162,162,161,160,160,160,153,175,159,88,81,154,151,149,148,146,144,143,142,147,150,154,156,159,161,162,164,165,164,164,164,162,162,161,155,176,159,91,83,157,153,152,149,148,146,144,143,149,153,156,159,161,162,165,166,166,167,167,166,166,164,163,159,186,156,92,83,157,154,153,151,150,147,146,144,150,154,158,160,162,165,166,168,168,169,168,168,168,164,165,156,143,122,74,81,162,155,154,153,150,148,146,144,152,156,160,162,164,167,169,170,171,170,171,170,168,170,188,151,90,63,45,100,167,155,156,155,152,149,147,146,153,158,161,164,167,169,170,172,173,172,172,169,167,151,149,153,114,78,31,136,169,157,158,157,154,151,149,147,155,159,162,165,168,170,172,173,174,174,169,182,182,123,70,124,175,104,67,118,155,165,161,157,155,153,151,149,155,160,163,166,169,172,173,175,170,178,146,111,160,129,85,103,181,98,79,63,92,113,159,159,156,155,153,150,156,161,164,168,171,174,174,174,187,188,147,90,117,150,103,83,148,107,96,79,106,73,135,166,156,156,154,152,158,162,166,169,171,174,174,181,190,176,164,126,90,145,101,72,116,117,107,89,102,62,126,169,157,157,155,153,157,162,167,169,172,175,175,194,190,164,172,131,84,118,100,71,108,83,75,101,83,53,123,171,159,159,156,155,157,161,166,169,172,175,174,189,183,141,146,129,77,89,98,56,133,135,60,120,108,55,103,172,159,158,156,154,159,162,167,171,173,176,177,179,179,157,146,111,59,84,84,40,129,141,63,105,113,53,86,173,159,158,155,152,159,164,168,171,173,176,177,182,191,175,156,101,80,87,95,64,115,119,97,98,88,48,124,170,158,158,160,162,159,164,169,172,173,176,177,181,194,181,169,105,86,87,107,118,164,144,118,100,57,72,171,170,171,168,150,112,161,167,171,175,177,179,182,184,194,189,165,119,103,94,149,174,154,126,93,87,54,131,176,140,117,92,52,30,116,116,118,119,121,121,118,118,179,185,157,139,114,106,159,166,136,108,86,76,55,81,63,30,16,13,19,24,93,95,94,95,94,92,94,81,147,185,158,142,126,98,129,139,113,91,77,60,33,15,14,16,22,20,13,16,101,101,100,101,101,101,110,82,80,183,159,142,125,91,92,90,85,73,59,33,19,21,22,15,15,23,19,13,101,101,100,99,99,99,101,78,29,102,153,144,106,74,76,74,76,52,20,33,13,10,19,18,11,15,21,20,102,103,104,102,102,102,96,56,42,37,73,98,81,77,70,64,53,18,0,19,27,1,9,17,15,12,15,20,102,103,103,102,101,104,80,44,45,43,33,43,69,62,46,38,19,0,0,8,28,15,0,12,15,13,12,19
12,195,196,197,199,201,201,202,203,203,203,203,204,204,205,206,205,205,206,206,205,205,205,206,205,205,204,203,203,197,199,200,200,201,202,203,206,204,205,205,205,205,206,206,208,207,208,208,206,207,207,207,206,206,206,204,204,199,200,201,202,203,203,204,207,206,205,205,207,208,211,210,200,208,208,208,210,209,207,208,208,207,207,207,206,200,202,203,204,205,206,206,207,205,210,219,206,204,232,222,179,165,216,213,192,205,209,208,209,209,208,209,208,201,202,203,206,207,208,207,206,210,248,243,204,182,240,227,174,114,202,221,169,157,214,210,210,210,209,210,209,202,203,205,207,208,209,209,205,215,255,245,200,177,243,224,183,113,206,205,165,115,196,217,209,211,210,210,210,203,205,207,208,208,210,209,206,222,249,242,203,171,246,220,190,143,219,194,146,104,170,224,210,213,212,213,213,204,207,208,208,210,207,218,241,204,203,232,233,158,229,239,181,159,222,203,145,95,157,224,212,214,213,213,213,205,207,209,210,211,208,246,246,199,157,195,203,138,205,230,141,160,234,180,129,92,150,223,213,215,215,215,214,207,209,210,212,208,222,255,245,221,155,167,163,100,126,148,113,168,193,126,102,95,144,226,214,217,217,215,214,208,210,211,212,209,236,252,247,223,180,140,150,103,87,89,188,217,196,151,146,134,151,229,216,218,217,216,215,210,211,213,213,210,243,228,238,230,196,151,103,129,110,184,251,245,225,191,186,163,158,229,217,219,217,217,217,210,213,213,213,213,252,246,216,221,199,158,112,108,164,255,250,242,223,196,174,148,138,225,220,220,218,218,218,212,214,216,212,226,255,249,208,206,202,169,135,97,231,255,250,241,224,198,166,134,137,227,221,222,220,219,220,213,215,218,212,227,255,251,234,194,187,206,174,135,255,252,251,241,222,186,160,129,138,229,221,223,222,221,221,213,215,217,216,220,255,253,233,204,176,181,195,218,255,251,250,241,215,185,158,132,124,225,225,223,223,222,221,214,216,218,215,223,255,254,240,225,218,188,227,246,255,247,246,241,210,190,152,127,122,225,227,224,223,224,222,216,217,219,216,227,255,254,250,237,234,215,226,236,255,243,240,233,214,183,148,114,144,235,223,227,224,225,225,216,217,220,219,225,255,255,253,244,234,221,225,225,250,239,228,221,214,169,138,105,193,235,224,227,226,226,225,217,218,220,222,221,252,255,253,246,229,215,225,225,241,232,219,218,200,155,116,128,233,228,227,227,227,227,227,217,218,220,224,220,241,255,251,243,222,208,217,222,234,229,217,206,178,138,98,192,237,228,228,228,227,227,227,221,224,226,230,224,242,255,236,229,219,214,222,227,243,232,212,193,161,107,137,236,228,231,229,228,228,229,228,211,199,188,179,163,158,157,136,130,130,124,128,119,121,116,111,111,107,85,195,249,233,232,231,231,230,231,230,153,143,137,134,117,104,102,97,87,78,73,70,56,53,55,52,49,50,54,77,132,219,234,230,230,230,229,229,150,136,140,132,121,112,108,101,92,84,80,74,63,61,60,57,53,51,49,45,30,202,237,229,230,229,228,228,174,133,139,132,120,113,103,98,90,82,78,70,61,60,61,58,52,48,51,34,118,245,228,231,229,229,229,229,193,135,138,128,119,112,101,96,88,81,76,69,61,61,60,57,51,45,48,34,197,244,230,233,231,231,232,231,203,138,135,129,122,112,104,95,88,78,73,70,63,61,59,56,51,46,46,50,221,237,235,235,233,232,232,232
24,207,211,212,216,219,222,222,223,225,226,227,228,228,229,229,229,229,229,228,228,228,227,228,226,226,224,223,222,210,213,216,220,222,225,226,226,228,229,229,230,231,232,231,231,233,233,232,231,230,230,230,228,229,227,225,224,212,214,218,221,224,227,228,229,231,233,233,234,235,234,233,234,235,235,236,236,233,232,232,232,230,229,226,226,213,217,219,222,225,227,229,232,234,236,236,237,237,236,237,237,238,236,237,237,235,235,235,235,233,233,231,230,215,217,220,225,225,228,234,234,236,238,237,239,238,238,240,241,241,240,241,239,239,240,238,237,237,236,235,232,218,220,224,228,230,236,232,237,238,238,239,239,241,242,243,243,243,245,245,242,239,241,240,240,240,239,237,235,220,223,229,226,253,255,196,237,241,242,241,243,246,246,244,245,245,242,245,246,243,243,244,243,241,239,239,237,223,226,231,230,250,255,193,217,248,245,244,243,248,245,245,248,248,255,255,222,245,247,245,246,244,244,243,239,224,228,232,237,234,255,233,194,249,248,244,255,242,251,255,244,219,255,255,203,196,255,245,245,247,246,245,243,225,229,234,239,236,255,255,224,219,250,255,255,251,252,255,255,197,255,255,219,155,244,251,248,249,247,246,246,227,232,236,239,242,240,255,255,196,232,255,255,255,240,255,255,211,245,255,223,144,228,255,252,251,251,251,227,230,234,238,242,246,242,255,255,255,234,255,255,255,238,255,255,212,213,255,205,133,221,255,254,251,255,240,181,232,236,240,244,246,249,246,255,255,255,255,255,255,252,226,255,226,172,235,186,124,193,255,254,236,246,207,161,235,239,243,245,248,252,250,255,255,255,255,255,255,244,190,255,237,148,182,196,123,134,240,227,239,232,162,203,237,240,244,247,249,252,255,251,255,255,255,255,255,235,183,206,221,156,177,214,139,184,207,241,243,170,186,255,238,242,245,248,252,253,255,253,255,255,255,232,230,255,234,172,238,185,155,223,244,255,255,236,197,167,252,255,240,245,248,251,252,255,255,255,255,255,255,244,236,252,244,212,236,199,204,255,255,255,241,200,157,210,255,255,241,246,249,251,254,255,255,255,255,255,255,255,237,241,255,255,255,255,255,255,255,255,228,180,169,254,255,255,243,246,250,254,255,255,255,255,255,255,255,255,252,239,255,255,255,255,255,255,255,246,214,161,208,255,255,255,244,249,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,183,162,255,255,255,255,246,251,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,226,164,204,255,255,255,255,247,251,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,210,171,255,255,255,255,255,248,253,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,255,255,233,202,156,220,255,255,255,255,255,248,254,255,255,255,255,255,255,255,255,255,255,255,252,231,237,245,252,232,200,149,165,255,255,255,255,255,255,249,253,255,255,255,255,255,218,198,203,214,255,239,234,240,247,255,250,222,183,125,241,255,255,255,255,255,255,249,254,255,255,255,255,255,185,153,156,131,125,124,133,129,135,130,119,119,115,102,164,221,255,255,255,255,255,249,255,255,255,255,255,255,203,157,162,136,119,110,94,83,73,62,61,58,57,63,39,126,255,255,255,255,255,252,255,255,255,255,255,255,217,157,156,134,117,109,99,89,78,70,67,65,62,62,53,231,255,255,255,255,255
11,180,183,185,187,189,189,191,192,193,193,192,192,193,191,191,190,189,188,187,187,185,185,184,183,181,181,180,178,182,184,186,189,191,191,193,194,194,194,194,193,193,193,193,192,191,190,189,188,187,187,186,185,183,182,180,180,184,187,188,190,192,193,194,195,195,196,195,194,195,194,193,192,193,192,190,189,189,188,187,186,185,184,182,181,185,188,189,191,194,194,196,196,196,197,197,197,197,196,195,194,189,191,194,191,190,190,189,187,186,185,184,182,187,189,191,192,194,196,198,198,197,198,197,198,198,198,196,200,188,148,191,192,191,191,191,188,189,187,185,183,188,191,192,193,196,197,198,198,198,199,199,199,198,198,196,205,195,129,173,199,192,193,192,191,190,188,186,186,189,191,194,195,197,198,199,200,199,200,200,200,200,199,197,205,190,135,168,202,192,193,193,192,190,189,188,187,190,192,195,197,198,199,201,202,202,202,202,201,201,201,197,210,199,141,167,203,195,193,193,192,192,190,189,187,191,193,195,198,198,201,203,203,203,203,203,201,202,203,198,215,206,147,159,204,195,195,194,193,193,190,190,189,193,195,197,198,201,202,203,204,203,203,203,203,202,203,199,216,194,139,158,205,195,196,196,195,193,192,190,189,194,196,197,200,202,203,204,204,204,204,204,203,205,207,204,216,188,134,162,206,196,197,197,196,195,193,191,190,195,197,200,202,204,204,204,205,205,206,209,209,197,170,189,221,186,138,170,206,197,198,198,197,196,194,193,191,197,198,201,203,204,205,206,210,212,202,178,190,188,146,136,199,167,129,178,206,199,199,198,198,197,195,193,192,198,199,201,203,206,206,207,181,188,197,152,119,174,163,117,123,129,117,195,205,201,200,199,198,198,196,193,193,198,201,203,204,206,210,210,171,127,186,164,115,174,162,116,107,110,132,209,202,202,202,202,201,200,200,196,193,199,202,204,206,205,219,214,192,126,170,171,116,165,148,113,108,108,140,212,203,204,202,198,194,186,184,195,198,201,203,204,206,213,229,217,189,128,139,157,109,152,144,111,101,99,136,214,203,204,199,190,184,166,154,152,178,202,204,206,206,222,216,201,187,133,114,145,111,169,153,118,96,103,141,215,198,206,205,178,153,132,128,114,129,203,204,208,206,224,227,204,179,119,128,159,114,197,188,130,102,116,137,194,202,202,166,118,109,142,162,157,169,203,205,209,208,228,229,207,164,134,150,207,136,191,187,114,113,146,155,185,196,166,114,118,187,209,206,205,201,203,206,209,208,230,226,195,176,170,140,226,150,117,158,139,157,158,153,167,154,113,128,203,209,202,200,199,197,203,206,208,208,227,224,205,189,163,152,185,144,152,190,185,168,152,139,138,109,121,208,208,203,204,202,200,198,204,207,210,209,222,223,212,194,181,194,200,205,189,178,170,158,148,128,108,114,198,212,206,206,205,203,202,200,205,208,211,210,218,220,208,192,172,172,186,190,179,175,158,151,142,103,128,200,213,208,208,207,207,203,202,201,204,208,208,214,217,215,203,174,155,169,181,176,171,160,152,143,107,139,214,215,209,209,208,208,206,204,203,202,203,211,133,108,199,204,190,168,170,178,176,168,158,145,124,109,156,218,213,211,210,208,208,207,206,204,202,200,212,170,96,88,130,189,198,195,188,170,168,153,132,103,128,199,220,213,212,212,210,209,208,207,206,204,202,200,205,120,96,104,95,120,172,181,173,160,152,136,109,107,212,222,213,214,213,212,210,209,209,207,206,204,203,202
1,183,187,191,194,197,199,201,203,205,205,206,209,210,210,209,210,209,210,209,208,208,208,208,206,204,204,203,202,184,188,192,196,198,200,203,205,206,208,209,211,211,211,213,212,213,194,199,211,208,208,208,207,206,205,205,204,185,189,194,197,200,201,205,205,208,211,212,211,212,215,193,203,225,171,156,223,208,209,209,207,207,206,205,205,186,190,195,199,201,203,205,208,210,212,213,212,213,227,161,177,229,169,147,202,208,211,210,210,209,208,206,206,189,192,196,200,202,206,207,210,211,212,214,214,223,226,152,185,223,157,150,167,166,219,210,210,210,210,208,207,190,193,198,201,204,207,210,211,212,214,216,211,192,209,146,197,221,149,174,187,143,217,211,211,212,211,210,209,191,195,199,202,204,207,211,211,213,214,222,210,142,186,155,206,229,160,184,189,136,213,214,213,212,212,210,210,192,197,201,204,206,209,211,212,216,215,228,195,130,184,162,202,217,157,191,191,133,211,218,215,214,213,213,212,192,197,201,205,207,210,211,214,217,216,229,182,123,168,148,184,205,148,203,201,140,211,219,216,216,214,213,212,193,198,202,206,208,211,214,216,217,220,231,175,127,182,147,197,206,148,208,195,140,210,219,217,217,215,215,214,194,200,204,206,209,212,215,217,217,225,227,166,133,200,143,202,204,144,216,192,141,213,220,219,218,217,216,215,196,200,205,207,210,213,216,218,218,230,231,168,119,166,118,187,172,144,225,194,146,216,221,219,218,218,217,216,196,201,205,208,211,214,217,220,217,236,225,170,152,164,155,188,191,168,193,191,145,219,222,221,220,219,219,217,196,202,206,209,212,215,217,220,221,240,221,187,167,210,218,221,224,200,149,167,149,222,222,222,222,220,218,218,197,203,207,209,213,216,218,218,230,239,201,173,145,156,200,194,220,229,180,126,141,227,222,222,222,222,220,220,198,203,207,210,214,216,219,217,239,235,197,160,146,135,153,150,221,243,216,141,137,231,223,222,222,222,221,221,198,204,208,211,214,217,219,219,244,231,187,159,156,153,168,201,211,229,217,164,149,231,223,224,223,223,222,221,199,204,208,211,215,218,219,222,247,224,190,160,164,161,192,236,223,208,181,160,132,215,229,224,224,224,223,223,197,203,207,211,215,218,219,224,248,226,197,172,170,175,220,240,217,197,166,138,127,217,230,225,225,224,223,223,198,203,207,210,213,217,218,224,247,226,194,175,172,182,234,245,213,186,158,127,126,226,226,224,224,224,223,222,199,204,208,211,214,217,219,223,245,228,198,190,173,180,236,243,206,177,152,118,142,233,226,226,224,224,223,222,198,204,209,212,214,218,220,222,241,231,208,207,179,173,240,228,198,164,141,114,198,233,226,226,226,225,223,223,199,204,208,212,215,218,221,222,238,235,213,210,178,180,235,214,192,158,124,136,232,227,227,227,227,225,224,223,199,203,207,211,215,217,220,221,241,238,214,203,168,185,222,194,180,148,110,175,236,226,226,226,224,223,223,222,199,205,210,215,220,221,225,222,242,231,210,189,165,189,201,181,167,136,120,220,236,232,232,231,230,230,228,227,174,176,178,179,181,185,181,200,248,225,211,189,175,192,188,179,159,126,131,188,187,188,188,189,190,190,189,187,148,145,145,146,145,147,139,215,246,227,217,190,189,187,172,166,140,118,133,137,137,136,136,137,134,134,132,131,155,154,155,156,156,154,162,242,228,210,208,199,187,169,160,150,121,126,149,147,147,146,146,146,145,144,144,145
10,27,73,75,80,87,94,103,116,127,130,135,140,145,150,154,156,161,161,164,166,166,166,166,167,168,168,166,165,35,75,77,82,88,95,106,118,127,133,138,143,149,153,157,160,162,176,163,167,170,168,169,169,169,169,169,167,41,78,77,83,89,95,108,121,131,137,142,148,154,158,161,160,172,217,139,152,176,171,173,172,171,171,171,169,49,77,79,85,90,96,110,124,134,140,146,152,157,160,165,163,179,215,151,131,182,174,177,176,175,174,174,172,55,79,81,86,91,97,112,127,138,140,146,154,160,165,169,168,176,218,180,124,181,178,178,178,178,177,176,175,61,79,82,86,92,100,116,130,138,160,156,152,167,169,171,173,174,227,213,125,174,185,182,181,179,180,178,177,68,80,83,87,92,101,117,131,142,221,154,100,155,173,175,179,177,223,214,132,162,192,185,184,184,184,182,180,73,79,83,88,94,104,119,133,143,182,136,96,91,186,156,145,185,216,225,139,146,197,187,188,187,187,185,184,75,78,83,89,96,104,120,136,146,153,144,116,100,178,120,115,188,221,236,148,128,201,190,191,190,189,188,187,78,81,84,90,96,105,122,137,149,154,160,150,144,192,117,66,178,218,198,137,102,197,195,195,194,192,191,190,80,82,85,90,95,106,125,140,151,157,161,178,160,195,135,65,134,201,132,108,84,187,199,195,196,196,194,193,82,82,85,91,95,107,127,143,154,158,163,174,167,198,161,122,86,116,99,104,79,178,206,199,200,198,196,195,83,84,86,91,96,108,127,144,155,160,165,178,192,155,186,173,140,76,68,91,78,152,215,202,203,201,200,198,84,84,85,90,96,109,128,144,157,162,162,203,210,127,137,219,183,145,91,78,73,110,217,205,206,205,203,202,84,85,85,91,97,111,130,146,160,163,172,196,223,175,76,173,221,178,146,72,59,83,213,210,210,208,206,204,84,84,85,91,96,110,132,149,157,174,227,161,200,165,92,156,238,194,159,79,51,84,213,213,211,211,209,207,85,83,86,92,96,112,133,151,157,184,249,167,138,182,133,221,222,183,158,94,59,58,193,222,213,214,212,210,85,84,86,92,96,113,134,151,162,170,222,191,121,217,198,239,226,178,151,103,68,51,188,226,217,217,213,213,85,85,86,92,96,113,135,151,165,163,200,195,130,220,157,210,229,189,138,98,75,58,199,225,219,220,217,214,86,85,87,92,96,115,136,154,165,166,196,217,180,177,90,229,225,175,132,95,78,68,210,226,221,221,221,217,87,85,86,90,95,116,137,154,167,172,173,234,234,165,135,248,214,169,127,91,80,75,217,228,223,222,220,219,86,85,86,90,96,116,136,156,168,172,176,207,255,241,218,238,201,158,120,93,83,85,226,227,225,224,222,221,86,84,85,90,96,116,137,155,167,172,179,195,251,248,218,202,181,145,118,103,80,106,236,226,227,226,224,222,86,83,83,87,95,116,136,154,166,170,179,182,173,239,191,161,175,157,137,122,77,130,239,224,227,226,223,222,84,82,82,85,93,115,136,154,164,168,185,169,38,219,170,182,190,188,175,140,68,131,239,225,227,227,225,223,83,79,80,84,90,114,136,154,166,167,188,158,0,177,230,204,173,181,166,112,49,42,233,230,229,227,226,223,78,75,77,81,88,110,133,153,164,168,188,128,1,100,187,167,141,143,112,51,0,77,245,227,229,227,226,224,85,80,81,81,88,110,131,151,161,167,182,107,18,51,51,43,33,35,20,1,0,135,245,224,228,227,226,225
22,137,143,147,151,158,163,168,172,175,178,180,181,182,184,184,184,183,182,182,182,181,180,179,179,178,177,175,174,139,145,149,153,160,166,170,172,175,178,180,182,184,186,186,187,185,185,185,183,182,181,180,180,179,179,177,176,141,148,150,154,162,169,171,174,178,179,181,184,185,186,186,183,186,186,185,186,184,182,183,181,181,180,178,178,142,148,151,156,163,168,173,176,177,178,183,186,186,187,187,224,147,174,189,184,191,192,166,185,181,181,180,178,143,149,153,157,165,171,174,177,182,228,146,178,191,188,193,237,127,160,195,181,215,186,132,189,183,181,181,180,145,150,152,159,166,172,176,178,186,240,138,170,195,187,200,226,133,160,197,184,223,161,136,192,183,183,182,182,146,151,153,160,167,174,177,181,181,234,160,158,199,187,206,233,144,163,196,194,223,148,141,195,184,185,184,182,146,152,157,163,169,174,179,183,180,244,193,150,200,189,210,233,149,166,195,210,232,143,156,196,187,187,186,184,148,154,157,164,171,176,179,185,179,238,220,147,197,192,214,224,149,163,196,230,226,139,170,195,188,189,188,185,149,156,159,165,172,178,182,188,181,230,236,144,186,194,219,227,152,159,205,242,203,126,180,196,190,190,189,187,150,157,160,166,172,180,185,189,183,217,255,179,168,198,225,236,155,160,229,244,177,121,192,195,192,191,189,188,152,158,161,168,175,181,187,186,203,219,192,184,159,202,226,227,145,178,255,233,155,139,202,195,193,192,191,189,153,158,162,170,178,182,189,185,248,254,214,179,125,188,214,208,193,220,246,219,132,168,204,195,195,194,193,192,154,160,164,172,180,185,190,192,255,255,248,194,117,121,183,200,222,217,208,178,128,197,202,198,197,196,194,193,155,161,165,173,181,187,190,201,246,232,221,229,179,132,129,160,195,198,188,132,144,210,200,201,200,198,196,194,155,161,165,175,182,188,190,204,255,230,203,244,242,187,123,107,157,184,173,117,155,212,202,203,201,200,198,196,156,161,166,175,184,189,188,217,255,215,189,188,246,227,173,112,110,153,163,121,170,213,204,204,203,203,200,198,157,162,167,176,185,191,188,230,255,211,167,138,191,238,218,166,106,109,131,114,192,212,207,206,206,204,202,200,157,163,166,176,184,192,189,240,255,215,158,182,166,227,247,213,159,104,98,118,207,210,208,207,205,205,203,201,158,162,166,176,184,191,189,240,255,218,153,193,192,250,249,230,195,146,99,126,217,208,209,207,205,205,203,201,158,162,166,177,186,192,190,239,255,208,166,194,219,255,250,228,208,155,94,137,221,208,209,210,208,205,203,203,157,162,168,178,187,194,191,236,255,196,187,188,243,255,255,223,184,141,94,150,222,211,211,210,209,207,205,203,156,161,167,177,185,194,192,230,255,197,203,186,255,255,250,225,164,123,99,171,220,211,211,207,207,206,204,202,158,163,169,178,187,196,196,227,255,209,214,188,255,255,245,212,156,116,105,203,225,219,217,215,215,213,212,212,140,143,147,150,152,156,152,178,255,231,223,198,255,245,230,190,142,116,111,153,155,153,153,152,152,154,147,137,118,118,119,120,118,117,114,128,255,239,222,192,244,231,196,165,132,117,111,107,104,103,103,102,102,91,99,159,126,126,127,128,127,128,126,133,246,223,206,184,207,208,171,151,139,123,113,118,117,116,114,116,114,143,219,228,126,127,128,127,126,126,126,124,219,199,183,175,179,192,180,153,141,125,116,118,116,116,115,109,163,237,225,194
7,94,120,136,145,151,157,161,161,164,167,171,172,173,174,174,176,177,176,176,175,173,173,171,170,169,166,165,163,97,122,138,146,153,158,162,164,165,169,173,173,175,175,175,176,178,178,177,176,176,174,173,171,170,168,166,165,99,125,138,148,154,159,162,165,167,171,173,174,176,178,178,180,180,180,180,179,178,175,175,174,172,170,169,167,100,126,139,149,156,160,164,167,170,173,173,175,177,180,181,181,181,181,180,180,180,178,177,177,175,173,171,169,100,127,139,149,157,162,165,168,171,174,174,176,179,181,181,181,181,181,182,181,181,181,181,179,176,175,173,170,101,128,139,151,157,162,166,167,171,173,175,177,181,184,186,187,188,189,187,185,182,177,173,172,178,177,175,172,102,128,140,150,157,163,167,171,175,178,182,180,179,175,167,158,143,140,136,140,124,112,144,147,139,179,175,174,103,129,141,151,158,163,166,156,147,140,139,137,130,114,108,114,83,94,99,92,93,95,142,137,110,183,180,176,106,131,142,153,158,167,149,113,104,112,114,120,118,106,96,86,82,83,86,81,87,81,82,75,106,154,171,180,107,132,140,152,165,161,137,97,86,94,92,94,96,98,100,104,104,84,91,103,94,89,83,75,81,109,110,169,108,131,146,157,157,143,127,103,84,81,93,106,116,119,118,112,100,71,79,102,86,73,72,62,71,99,80,157,106,146,156,151,142,137,134,121,116,117,124,129,116,113,109,102,77,63,63,65,58,54,55,56,62,77,119,180,147,159,150,148,148,144,125,96,84,91,103,102,93,88,74,61,56,76,96,119,137,153,162,168,176,180,186,183,168,156,154,153,147,125,111,68,59,77,74,58,48,70,129,154,172,184,197,202,200,199,196,194,192,187,184,182,161,158,156,143,119,114,97,60,56,49,34,21,28,41,72,90,187,198,191,191,191,190,190,189,188,186,185,183,160,161,146,126,114,107,99,89,67,42,39,44,42,36,27,3,111,208,191,195,194,193,192,191,191,188,185,184,162,150,125,113,107,103,117,122,86,46,45,48,47,44,45,24,116,210,193,195,193,194,193,192,191,188,186,184,144,123,104,102,101,99,104,100,61,38,36,31,36,38,39,15,72,205,195,196,196,195,193,192,191,190,189,184,116,106,101,100,93,82,85,69,44,29,16,24,41,44,41,23,106,201,195,197,196,196,193,192,191,190,188,185,110,106,102,96,84,66,58,60,57,39,37,53,55,46,24,123,209,196,196,197,196,195,193,192,192,190,188,185,102,90,80,73,65,61,68,82,74,51,41,35,36,41,107,196,194,195,195,194,194,193,192,191,189,188,186,183,91,81,78,75,72,72,77,81,61,33,53,102,138,176,198,191,192,193,193,192,192,192,191,191,189,186,184,183,87,83,83,78,68,63,58,47,42,97,172,196,197,193,190,192,193,193,193,192,192,192,191,190,190,189,185,183,61,66,62,57,52,48,62,105,152,189,188,185,187,189,191,192,193,193,192,192,192,191,191,190,188,187,184,183,25,0,57,111,113,135,162,177,178,177,181,184,188,189,190,190,191,191,191,192,192,191,191,190,187,186,183,181,12,0,97,173,167,175,175,174,177,183,186,189,191,192,194,194,194,192,193,192,189,188,189,187,183,182,182,181,0,0,107,140,127,128,127,127,126,126,125,120,119,121,121,120,116,113,113,111,107,104,102,99,95,91,66,55,0,0,71,78,77,81,79,79,81,81,78,79,79,80,81,77,77,76,74,75,75,74,72,69,68,34,0,0
11,197,200,202,203,204,205,206,207,208,208,209,208,208,211,210,211,210,209,209,209,208,207,207,208,206,204,203,203,198,202,203,203,205,207,208,208,209,210,210,212,214,206,213,214,212,211,211,211,210,209,209,209,209,208,205,204,202,203,205,207,207,208,210,211,212,213,210,220,229,166,213,216,214,212,213,214,214,212,211,211,211,210,208,207,203,204,207,209,209,210,212,214,214,216,210,234,227,148,209,216,214,214,215,216,215,215,215,214,212,211,209,208,204,206,209,210,211,211,213,215,215,216,213,255,210,147,215,216,217,216,216,216,216,216,216,215,213,213,212,210,207,209,210,211,212,213,215,216,218,213,229,255,177,159,223,215,217,218,218,217,218,217,217,216,215,214,214,212,208,210,211,213,214,215,215,217,219,212,252,255,157,188,225,218,219,220,221,219,218,218,219,218,217,215,215,214,210,212,213,215,216,216,217,219,215,227,255,229,148,208,224,222,222,222,222,221,220,221,221,219,218,217,216,216,210,213,214,216,217,219,220,221,220,255,255,188,152,226,223,223,223,223,223,223,222,222,222,220,220,218,217,217,211,214,216,217,219,221,222,218,238,255,249,149,177,232,223,224,224,225,225,224,223,224,223,222,222,221,219,218,215,216,218,219,221,222,223,219,251,255,230,132,210,231,224,225,224,225,226,225,226,224,224,223,222,222,222,220,216,217,219,221,222,224,224,228,255,255,213,186,242,205,223,228,225,226,227,228,229,227,224,225,223,223,223,221,216,219,220,222,224,225,218,245,255,255,255,255,227,156,203,233,226,228,229,228,229,228,227,226,225,224,224,223,217,219,222,222,220,225,235,255,255,255,255,216,161,145,188,235,227,229,230,230,229,229,228,227,228,226,224,223,218,220,223,225,245,255,255,255,255,254,237,199,144,141,172,235,228,230,231,231,231,230,229,228,229,229,225,224,219,223,220,246,255,255,255,255,255,226,157,167,147,148,157,231,232,232,232,232,232,231,230,230,229,229,227,225,220,222,226,255,255,255,255,255,255,206,150,147,148,149,153,225,235,232,234,232,232,232,232,232,230,230,229,228,223,220,240,255,255,255,255,244,212,215,171,145,143,149,154,225,235,234,236,234,232,233,232,233,231,231,231,230,225,221,255,255,255,251,219,180,156,224,194,151,137,138,165,234,234,233,235,235,234,234,234,233,233,231,231,230,223,230,255,255,254,205,161,124,106,226,207,148,148,195,226,239,241,242,241,238,237,240,237,234,234,231,232,231,221,245,255,255,235,192,157,114,167,227,158,122,157,233,240,232,220,197,176,167,167,182,226,239,234,234,233,234,224,255,255,255,216,171,138,111,155,165,105,112,107,122,150,153,154,151,147,154,151,139,147,218,240,235,235,234,238,255,255,240,187,146,123,114,112,114,113,116,121,116,126,148,163,174,168,166,158,146,125,157,244,231,234,234,255,255,255,217,174,143,117,112,112,116,123,128,134,138,156,168,169,168,170,176,196,202,179,196,241,233,233,233,255,255,249,202,166,136,110,112,121,135,145,146,149,154,167,162,183,214,234,241,244,244,246,241,236,236,246,197,255,255,232,189,159,131,111,130,146,156,163,163,159,148,163,206,245,246,243,241,240,240,238,239,245,234,191,138,255,255,215,179,151,130,120,149,163,163,162,168,149,186,235,246,241,241,242,242,241,241,240,245,217,156,128,121,255,239,196,168,149,132,125,152,159,160,162,150,184,250,243,242,243,242,243,244,244,243,246,215,146,133,127,117
1,177,178,179,179,180,181,183,182,183,184,184,181,169,175,182,182,181,180,180,180,179,178,178,176,175,174,173,172,180,181,181,182,183,184,185,185,186,187,188,183,152,139,179,181,186,184,183,183,182,181,181,180,179,179,177,175,182,184,184,185,186,187,187,188,188,178,172,189,159,103,123,142,182,189,187,187,186,185,184,183,181,181,180,179,185,186,187,187,189,190,191,191,191,169,126,176,168,96,102,121,147,193,189,189,188,187,186,186,184,182,182,181,187,189,190,190,191,192,194,194,193,179,123,154,170,103,109,133,110,187,193,192,191,190,189,188,187,186,185,185,189,191,192,194,194,194,195,196,194,190,131,132,173,120,122,144,101,174,196,194,193,192,192,192,190,188,188,188,191,193,194,194,195,196,196,188,184,195,144,116,160,120,129,158,110,159,199,196,196,195,195,194,193,192,191,189,194,195,195,196,197,199,198,171,139,192,154,102,149,120,121,158,117,149,202,199,199,197,196,196,195,195,193,191,195,196,197,198,199,201,200,178,122,177,156,99,153,136,102,161,130,142,203,200,200,199,198,198,197,197,196,195,196,198,200,200,201,202,202,181,122,166,171,108,136,141,103,159,148,136,203,202,201,200,199,200,200,199,198,197,198,200,201,201,202,203,204,186,125,155,178,111,106,132,128,156,131,121,190,200,204,203,202,201,202,201,200,200,199,202,203,203,204,205,204,190,133,128,171,111,107,127,132,145,115,106,114,144,205,204,203,202,202,201,200,201,202,203,205,205,207,207,204,197,144,111,157,127,129,125,134,145,133,111,91,102,185,207,205,204,203,201,201,202,202,204,205,206,208,209,205,197,159,135,145,126,132,127,149,166,136,103,124,122,146,208,206,206,205,203,203,202,204,206,207,208,209,209,209,203,174,145,136,120,129,134,155,163,146,144,175,156,125,193,208,207,206,206,205,204,205,207,209,209,210,210,211,209,181,144,123,117,127,137,162,172,172,167,159,160,117,153,210,207,207,206,206,206,206,207,209,209,211,212,211,212,191,149,115,118,130,143,175,181,196,193,164,136,97,105,204,209,208,207,206,207,207,209,210,211,212,214,212,213,208,166,123,121,133,157,177,187,194,188,162,132,89,92,199,212,211,208,207,208,208,209,212,213,212,214,214,211,217,189,145,120,136,164,182,198,200,186,163,136,89,113,208,212,212,210,209,209,209,210,213,214,215,216,216,208,221,209,171,133,134,158,189,207,203,189,173,134,86,145,216,213,213,213,212,210,209,211,213,215,217,217,218,208,218,217,189,150,140,156,190,211,207,198,171,122,86,176,217,214,214,214,212,210,211,213,214,216,216,216,217,212,208,213,201,162,149,155,185,203,211,195,155,107,96,202,216,215,215,215,214,211,211,214,215,216,216,216,218,216,197,203,201,172,151,150,175,195,195,169,128,89,123,217,218,216,216,215,215,213,210,213,213,215,216,216,217,218,200,189,190,174,157,151,158,170,162,131,96,86,175,220,218,216,216,215,215,214,210,213,214,215,216,217,217,218,213,184,182,174,161,155,139,140,141,111,80,133,214,219,218,216,216,215,214,212,211,214,214,215,216,217,218,219,219,195,188,172,156,150,129,126,126,95,85,189,220,218,217,216,216,215,214,212,212,214,214,215,216,217,218,219,219,199,190,166,151,149,134,126,109,82,109,213,219,219,218,217,217,216,215,213,212,213,215,216,216,217,217,219,221,199,197,185,168,164,145,131,102,76,127,219,220,220,220,218,217,217,216,214
15,122,121,124,122,127,128,129,132,134,143,156,165,173,178,183,188,190,193,196,200,203,206,208,210,212,215,217,218,122,122,123,121,125,127,124,130,135,145,155,164,173,179,184,189,190,194,197,199,202,207,210,211,213,216,218,220,123,122,123,122,125,125,141,129,131,145,156,166,175,179,184,190,191,193,198,202,203,207,210,212,215,218,221,221,123,122,122,125,110,164,223,178,149,144,151,165,176,184,188,193,193,193,196,201,205,208,211,214,216,218,219,221,124,122,121,125,113,167,227,212,199,186,169,170,165,176,186,192,195,195,199,203,206,207,211,216,217,217,220,221,123,123,123,124,124,126,178,180,176,193,192,193,180,172,167,172,177,184,191,201,209,214,216,215,217,218,222,223,122,123,122,123,127,125,129,143,144,162,172,178,197,192,183,179,176,178,177,170,173,181,198,222,217,221,222,224,122,123,122,123,124,128,128,130,136,146,150,145,174,181,181,174,178,192,201,186,163,147,128,188,225,219,224,225,123,124,123,124,126,130,131,131,136,146,157,159,165,169,167,161,156,192,200,203,181,170,137,118,206,227,222,226,121,123,123,124,125,128,130,130,135,148,158,168,177,179,178,171,171,205,202,203,191,187,166,140,134,219,227,225,122,123,123,123,125,126,129,132,136,145,154,167,174,185,193,184,216,216,190,195,210,194,188,170,129,139,225,227,123,124,124,123,126,126,129,131,135,145,174,174,176,174,181,211,222,207,161,199,210,193,213,183,149,113,154,236,123,124,124,124,126,126,130,132,127,174,214,190,197,192,170,185,183,152,132,190,190,188,222,189,154,132,110,179,123,123,123,123,123,126,128,131,130,169,191,198,222,222,183,151,164,142,108,178,169,196,215,190,161,138,120,116,122,121,121,122,124,127,128,130,133,146,164,179,215,214,175,175,184,174,164,165,170,181,188,180,159,137,121,118,121,121,121,120,122,126,126,128,134,147,159,173,184,170,169,190,188,180,187,191,176,142,138,155,145,132,120,117,120,119,119,121,121,122,123,125,133,148,158,162,176,184,154,174,190,192,197,200,178,137,120,130,131,127,128,119,118,118,118,120,121,121,123,124,132,146,158,162,187,248,165,120,124,177,188,192,170,132,124,129,127,129,132,126,117,117,118,118,119,120,123,124,133,147,157,161,184,236,170,112,72,105,165,178,154,133,132,131,128,129,134,131,117,117,117,118,118,120,122,123,133,147,156,161,181,226,159,101,123,88,114,163,133,126,129,135,135,133,133,130,117,116,117,117,118,120,122,123,131,146,157,161,180,225,149,118,137,115,129,153,167,146,145,144,140,137,132,128,115,115,115,115,116,118,120,121,130,142,153,163,174,231,132,133,162,138,178,135,178,159,151,142,136,132,130,125,112,112,112,113,114,115,118,119,128,142,152,159,183,241,115,139,224,105,198,186,152,126,129,128,128,128,128,128,115,113,114,115,114,114,116,116,125,139,152,158,179,194,107,157,225,103,181,215,158,156,162,105,108,113,111,113,170,168,166,163,160,159,162,162,164,164,166,167,178,157,136,187,176,139,191,195,199,205,204,137,101,104,104,106,139,136,136,133,135,135,139,142,138,137,135,131,135,134,139,143,140,141,143,142,144,140,143,140,116,116,125,130,138,137,137,136,136,135,136,134,134,137,136,132,134,136,136,137,136,137,140,138,136,135,136,138,137,144,150,142,139,139,138,138,136,138,140,137,138,140,143,141,140,143,140,139,141,141,143,141,142,141,142,144,142,145,179,153
18,167,168,170,172,173,175,175,176,177,177,178,178,178,177,176,176,176,175,174,174,174,174,173,172,171,170,169,169,169,170,171,173,174,176,177,177,179,179,179,180,180,179,178,178,177,177,176,176,176,175,174,173,173,172,171,171,171,172,174,175,177,178,179,179,179,180,180,181,180,180,180,179,179,179,178,177,177,177,176,175,175,174,173,172,173,174,176,177,179,180,180,180,181,181,181,181,181,181,181,181,181,180,180,179,178,178,178,176,176,175,174,173,173,174,177,178,180,181,181,181,182,182,182,183,183,183,183,183,182,182,181,180,181,175,170,177,177,177,176,175,175,176,178,180,181,182,183,183,183,184,184,184,185,185,185,184,183,182,182,183,191,164,142,172,179,178,177,177,177,178,180,181,182,183,184,185,185,186,186,186,186,186,186,183,181,181,179,184,201,162,117,158,180,180,179,178,178,180,181,182,183,185,187,187,187,188,187,188,188,188,189,175,155,158,155,164,201,174,116,131,174,181,180,180,179,181,182,184,185,187,188,189,189,190,189,189,189,189,190,179,149,130,128,151,198,185,130,105,148,178,181,181,180,182,184,186,187,188,189,190,191,192,192,192,192,178,156,157,159,133,111,129,175,181,145,113,115,154,181,182,181,183,185,187,188,189,190,192,193,193,196,202,198,175,139,115,139,137,104,91,119,156,154,128,105,116,172,184,183,185,186,188,189,191,192,193,194,195,207,213,209,182,148,111,109,125,97,71,76,129,162,138,109,100,165,186,184,186,187,189,191,192,193,194,195,202,212,206,210,185,154,114,86,94,82,62,64,130,172,153,116,101,164,186,186,187,189,191,193,194,194,196,199,214,211,191,195,175,151,112,78,76,72,59,61,122,172,162,121,100,163,187,187,188,190,192,194,195,195,198,209,214,199,182,180,149,124,96,77,82,69,57,68,123,168,163,122,99,163,189,188,190,192,193,194,196,196,203,220,209,180,160,157,121,98,80,83,97,85,92,110,137,164,153,116,96,162,190,189,191,192,194,195,197,198,207,227,217,188,152,131,117,97,63,89,124,141,156,157,143,141,134,110,92,155,190,190,192,193,195,197,199,200,213,229,220,195,156,125,119,94,66,130,179,187,176,160,141,118,116,106,90,150,191,191,193,195,197,199,201,203,220,230,216,186,155,133,118,100,121,188,204,193,172,147,134,113,103,97,91,158,193,193,194,196,198,200,201,206,224,228,209,178,158,134,113,125,179,206,201,186,166,142,127,111,94,85,108,177,195,193,194,196,198,200,201,208,226,226,205,178,163,136,124,161,202,205,193,179,161,136,120,106,87,83,143,191,195,194,195,196,199,200,202,210,225,224,205,184,172,141,146,177,200,198,185,173,154,127,111,97,79,98,174,197,197,195,196,197,200,201,203,211,223,220,207,191,171,141,144,173,186,187,174,162,142,117,101,87,78,132,192,199,199,196,196,198,200,202,203,211,222,219,209,192,159,131,135,162,174,173,164,151,130,108,90,76,97,171,199,200,200,196,197,199,201,202,204,212,219,215,206,181,143,123,137,155,166,163,153,138,116,95,77,79,142,195,201,201,201,197,199,200,201,202,205,215,216,209,198,172,145,135,144,154,161,156,141,124,103,82,74,121,185,201,202,202,201,198,199,200,200,203,207,221,222,217,205,188,169,153,144,151,158,147,126,108,90,75,108,177,201,202,202,202,202,197,199,196,193,202,210,225,225,221,209,192,173,155,138,144,152,136,115,98,79,87,158,200,204,203,203,203,202
24,211,215,216,220,223,226,226,227,229,230,231,233,232,233,234,234,233,233,233,232,232,231,233,230,230,228,227,226,214,217,220,224,226,230,230,231,232,233,234,234,235,236,235,236,237,237,236,235,235,234,234,232,233,231,229,229,215,218,222,225,228,232,232,234,235,237,237,238,239,238,237,238,240,240,240,240,237,236,237,236,235,233,231,230,217,221,223,226,229,232,234,237,238,240,241,241,241,241,241,241,243,241,241,241,239,239,240,239,237,237,236,234,219,221,224,229,229,233,238,239,241,242,242,243,242,243,244,245,245,244,246,244,243,244,243,242,242,240,239,236,222,224,228,232,234,241,236,241,242,243,243,244,246,246,247,248,247,249,250,247,243,246,245,244,244,243,241,239,224,227,233,230,255,255,200,242,245,247,246,248,250,250,248,249,250,247,249,250,247,248,248,247,245,244,244,242,227,231,235,235,255,255,197,221,253,249,249,247,253,249,249,252,252,255,255,227,249,251,250,251,248,249,248,244,228,232,236,242,238,255,237,198,253,253,249,255,246,255,255,249,223,255,255,206,200,255,250,250,251,251,250,248,229,233,238,243,240,255,255,228,223,254,255,255,255,255,255,255,201,255,255,223,158,248,255,252,253,251,250,251,232,236,240,243,247,244,255,255,199,236,255,255,255,244,255,255,215,249,255,227,147,232,255,255,255,255,255,231,234,238,242,246,250,246,255,255,255,238,255,255,255,243,255,255,215,217,255,209,136,225,255,255,255,255,245,184,236,240,244,249,250,254,250,255,255,255,255,255,255,255,230,255,230,176,240,190,127,197,255,255,240,250,211,164,239,244,247,250,252,255,255,255,255,255,255,255,255,248,193,255,242,151,185,200,126,136,245,231,243,236,165,207,241,244,248,252,254,255,255,255,255,255,255,255,255,239,187,210,226,159,181,218,142,187,211,246,247,173,189,255,242,247,250,253,255,255,255,255,255,255,255,236,235,255,238,175,242,189,158,227,249,255,255,240,200,171,255,255,244,249,252,255,255,255,255,255,255,255,255,249,241,255,249,216,240,203,208,255,255,255,245,203,160,214,255,255,246,251,253,255,255,255,255,255,255,255,255,255,241,245,255,255,255,255,255,255,255,255,232,184,173,255,255,255,247,251,255,255,255,255,255,255,255,255,255,255,255,243,255,255,255,255,255,255,255,251,218,164,212,255,255,255,248,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,239,187,165,255,255,255,255,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,230,167,208,255,255,255,255,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,214,174,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,205,159,224,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,236,241,250,255,237,204,152,169,255,255,255,255,255,255,253,255,255,255,255,255,255,222,201,206,218,255,244,239,244,252,255,254,226,186,128,245,255,255,255,255,255,255,254,255,255,255,255,255,255,188,156,159,133,128,126,135,132,137,133,121,122,117,104,168,226,255,255,255,255,255,253,255,255,255,255,255,255,207,160,165,139,122,112,96,85,74,64,62,59,58,65,40,129,255,255,255,255,255,255,255,255,255,255,255,255,221,161,159,137,119,112,101,91,80,72,68,67,64,63,54,235,255,255,255,255,255
10,170,171,171,172,172,173,174,174,174,174,175,174,173,173,172,171,171,170,169,168,165,174,166,136,162,161,159,158,173,174,175,176,176,176,177,178,177,177,177,177,176,176,175,175,174,172,172,172,166,183,175,118,158,163,161,160,177,178,179,179,180,180,181,181,182,181,180,180,180,180,179,178,177,176,175,175,170,185,176,120,153,169,163,162,181,182,182,183,184,184,184,184,185,184,184,183,184,183,182,181,180,179,178,178,173,188,168,115,152,173,166,165,184,185,186,187,187,187,187,187,188,188,188,189,188,187,186,185,184,183,181,181,177,191,172,118,152,176,169,169,187,188,189,190,190,190,191,190,192,192,190,192,192,191,190,189,187,185,184,184,180,197,176,122,157,179,172,171,190,191,192,192,192,193,194,194,194,193,193,194,195,193,192,192,190,189,187,186,186,202,169,156,159,180,175,173,193,194,194,195,195,196,196,197,196,196,196,197,197,196,195,194,193,192,191,190,192,198,183,175,121,182,178,176,194,196,197,197,198,198,199,198,198,198,198,198,199,198,198,197,196,195,193,190,170,163,189,174,105,169,186,178,197,198,199,200,200,200,200,201,201,200,200,200,201,201,201,199,198,199,199,201,191,165,149,161,123,115,189,181,199,200,201,202,203,202,203,204,204,203,204,204,204,203,203,203,201,192,178,190,204,181,155,129,132,102,146,192,203,203,204,204,204,204,205,204,205,205,205,205,205,205,203,200,206,184,154,129,147,192,191,161,114,111,116,192,204,204,205,206,206,206,207,206,207,207,207,207,206,207,189,156,171,203,179,139,73,144,187,136,103,97,124,195,206,206,207,208,207,208,209,209,208,208,208,209,207,205,197,175,143,192,200,161,99,78,102,139,125,97,131,199,207,207,208,209,209,209,209,209,209,209,210,210,209,198,198,199,166,157,206,169,128,86,87,168,162,103,136,201,209,208,209,210,211,211,210,211,211,211,212,210,208,186,163,191,177,125,173,179,131,93,109,164,177,113,132,202,209,210,211,212,212,212,213,213,213,213,213,211,208,196,146,144,165,103,128,183,131,99,118,161,168,110,128,203,210,211,212,213,214,213,213,214,214,214,214,213,202,186,164,133,148,124,112,176,171,124,122,163,137,98,145,205,211,213,213,213,214,214,214,215,215,215,215,212,206,211,191,146,139,145,117,158,189,143,113,147,120,93,178,203,213,214,214,214,215,215,215,215,216,216,216,215,205,214,198,169,147,140,136,181,178,126,109,134,112,107,201,200,214,214,215,216,215,216,217,216,217,218,219,219,207,210,206,181,156,149,163,211,202,167,137,132,105,132,210,199,214,215,216,216,217,218,218,218,218,219,220,220,209,199,201,187,167,159,166,205,203,182,151,130,96,160,211,199,212,214,215,216,216,215,216,217,219,219,219,220,213,195,200,193,185,171,166,200,196,170,139,120,100,191,207,202,213,213,215,215,216,216,216,217,219,219,219,219,220,198,189,197,193,174,157,187,178,155,131,101,122,210,201,202,214,214,215,217,217,218,219,219,220,220,220,219,221,211,183,189,185,171,152,165,165,142,120,88,166,213,201,201,215,216,216,217,217,218,219,218,219,219,220,220,219,219,197,188,178,166,152,152,165,142,106,113,208,206,204,201,214,216,218,219,220,222,223,223,224,225,225,225,225,221,204,189,176,171,163,151,160,137,94,160,216,203,205,207,153,154,159,162,165,169,174,177,180,184,186,190,196,195,199,193,179,184,169,155,155,128,96,180,209,202,198,166
0,161,162,161,161,160,161,161,160,159,159,157,158,157,156,155,155,154,153,151,151,150,148,148,146,146,145,143,142,161,163,162,162,162,161,161,161,160,159,158,159,158,158,157,156,155,154,154,153,151,149,148,146,145,145,144,144,162,163,162,163,163,163,163,162,161,161,160,159,159,158,158,157,155,154,153,152,152,151,149,148,146,146,145,144,164,164,164,164,164,164,164,164,162,161,161,161,163,163,159,160,160,157,152,152,151,152,151,149,148,147,144,144,163,165,166,166,165,165,163,163,165,166,162,149,121,131,164,143,129,145,160,156,157,155,150,152,150,149,146,145,165,167,166,167,166,164,164,156,136,146,159,130,99,71,115,117,88,69,136,130,116,141,156,146,149,149,148,147,167,167,166,167,166,165,164,147,117,94,125,142,103,70,80,128,96,63,62,102,71,56,130,118,115,155,147,146,168,168,167,167,166,167,166,162,139,111,83,139,111,79,80,132,103,69,67,117,91,44,66,116,86,156,147,147,168,168,168,168,166,170,162,154,144,121,71,124,118,82,79,132,106,70,57,112,93,51,41,106,79,148,151,149,169,169,168,168,167,172,159,121,145,104,60,126,114,75,73,123,96,61,41,92,75,43,37,106,66,116,158,149,170,169,169,169,168,168,134,96,140,86,58,118,92,55,66,111,84,50,45,106,85,33,41,112,90,69,147,152,169,169,170,170,171,168,147,118,138,96,72,111,92,52,64,113,84,39,84,128,93,25,47,112,104,58,101,162,170,171,170,170,173,164,142,118,122,105,76,116,111,55,81,129,96,43,110,135,66,19,90,120,103,50,88,162,171,173,173,172,168,141,113,96,83,69,63,128,109,50,89,135,101,47,20,52,14,55,125,123,88,39,130,155,173,172,173,173,168,144,117,91,64,54,50,81,86,46,42,87,68,42,48,17,39,118,125,111,54,76,161,150,173,172,174,170,162,143,120,91,69,68,71,63,71,68,53,57,91,121,127,111,96,120,110,83,40,136,158,151,174,174,174,170,161,146,124,97,72,65,72,79,95,107,113,129,140,130,118,119,92,96,99,47,69,165,152,154,174,175,175,173,165,148,126,106,81,72,74,87,118,130,141,143,137,124,114,108,82,74,79,27,125,163,154,154,174,175,175,172,167,148,131,112,91,90,77,113,146,145,146,142,133,118,110,104,73,60,39,61,165,158,157,154,175,175,175,172,170,153,136,120,106,104,108,142,152,148,148,140,127,114,104,90,62,33,39,147,161,158,158,156,175,175,175,173,171,155,140,128,117,111,137,146,150,152,146,131,121,106,92,74,37,30,142,164,157,158,158,157,175,176,176,170,168,159,146,132,118,116,146,147,152,151,138,119,108,97,79,50,21,133,168,158,160,160,158,157,175,176,176,169,165,161,149,137,119,114,143,148,145,140,123,106,93,82,57,20,122,172,159,161,161,161,159,158,176,177,177,172,166,164,153,145,130,117,139,145,134,125,110,93,78,53,18,111,174,162,163,162,161,161,160,158,176,176,178,174,169,160,153,146,137,124,137,136,123,110,99,80,51,17,108,174,163,165,163,163,161,160,159,159,175,176,178,173,166,157,163,158,146,131,132,127,108,97,87,55,17,114,178,165,166,166,164,163,162,161,159,159,176,176,177,171,168,156,165,159,140,128,123,118,97,79,65,26,117,180,166,168,168,167,165,164,162,162,160,159,178,178,175,168,162,148,161,148,134,127,117,103,87,71,35,77,182,168,170,168,168,166,166,164,162,162,162,160
7,147,157,163,168,171,173,175,176,178,180,181,182,182,183,184,184,184,184,183,182,182,180,179,178,177,176,174,173,148,158,164,169,172,175,175,177,179,182,182,183,184,184,185,185,185,185,184,183,182,182,180,179,178,178,176,174,149,159,165,169,173,175,177,178,180,183,183,185,185,186,187,187,186,186,185,185,183,183,181,181,180,179,178,176,150,159,166,170,174,176,178,180,182,183,183,186,187,188,188,188,187,187,188,187,185,184,184,183,182,181,180,178,151,159,166,171,174,178,179,181,183,184,185,187,187,188,189,189,189,188,188,188,187,185,185,184,183,182,181,179,152,160,167,172,175,178,179,182,184,185,187,188,188,189,189,189,189,189,188,188,187,187,186,185,184,183,181,180,153,161,167,172,177,179,179,182,184,185,187,188,189,190,192,194,195,195,193,192,192,191,189,188,187,184,183,182,153,161,168,173,177,180,181,185,188,190,191,190,188,188,185,178,172,170,169,171,161,151,163,165,174,186,183,183,154,161,169,173,177,181,180,170,164,160,159,159,153,143,137,142,121,124,131,130,127,126,163,159,147,189,184,184,155,162,169,173,177,179,166,141,130,137,138,142,141,135,129,122,118,118,122,116,123,120,128,122,149,186,187,185,156,162,169,173,176,171,158,132,117,122,123,125,128,130,131,132,133,120,121,129,124,120,115,110,124,139,163,188,155,163,169,169,166,158,152,139,127,123,129,137,141,142,142,139,134,113,113,131,121,114,115,107,118,131,128,185,159,168,166,163,158,157,154,144,139,140,144,149,142,139,137,133,117,105,106,107,102,99,99,96,101,110,145,189,173,168,165,163,163,161,149,128,112,120,129,131,121,115,112,107,104,116,128,141,149,157,161,165,168,174,188,188,174,170,170,168,160,146,142,112,100,113,110,96,113,150,160,175,183,192,199,202,202,201,199,199,197,194,190,189,172,171,169,158,144,141,133,110,101,93,85,79,92,122,122,161,206,198,196,195,195,194,194,193,191,191,190,188,173,172,160,147,138,133,135,134,116,92,89,94,90,83,76,79,187,201,198,198,197,196,196,195,194,192,191,189,171,160,143,138,136,135,142,146,123,94,93,95,95,94,90,90,189,201,198,198,198,197,196,196,195,194,192,190,153,142,134,133,130,126,130,126,102,89,83,83,89,89,86,81,181,203,197,198,199,198,196,196,195,194,192,190,141,136,132,132,127,117,115,107,95,82,75,85,92,93,83,88,180,204,198,199,199,198,196,196,194,194,192,190,137,131,127,122,115,105,103,108,106,90,92,100,97,84,97,186,203,200,200,199,198,198,196,195,195,194,193,191,127,119,115,112,111,110,116,123,112,95,88,87,93,110,179,204,199,200,200,199,198,197,196,195,195,194,193,191,124,121,120,115,112,112,115,112,94,90,129,158,179,197,200,196,199,197,198,197,196,196,195,194,193,193,191,189,119,119,117,112,105,101,98,97,118,169,198,200,199,196,196,198,199,198,197,197,196,196,195,194,194,192,190,189,95,96,107,106,107,113,138,170,191,195,191,192,195,196,197,198,199,198,198,197,196,195,195,194,193,191,190,188,59,63,162,163,171,181,188,188,188,190,192,194,195,195,196,197,196,196,196,196,196,195,194,193,191,189,189,187,42,75,173,172,179,180,181,185,188,190,192,195,197,198,198,198,198,198,198,198,199,197,196,196,193,193,192,190,36,101,186,173,175,176,177,177,178,179,177,177,178,178,178,175,173,173,172,169,166,165,163,160,157,153,149,125
19,183,183,185,187,187,188,190,190,191,191,192,191,190,190,189,191,192,189,189,188,187,187,186,186,185,184,183,183,183,185,186,188,190,190,192,192,192,192,192,192,192,190,190,173,175,193,190,189,190,189,189,188,186,186,185,184,184,186,189,190,192,192,193,193,194,194,194,193,191,200,195,155,113,179,194,190,190,191,190,189,188,186,185,186,185,187,190,191,192,193,194,194,193,193,194,195,191,210,194,161,107,150,202,190,191,191,190,190,189,187,187,187,187,189,192,192,193,194,196,197,196,195,196,196,194,214,189,164,109,139,203,191,192,192,191,191,189,189,189,189,189,191,192,194,196,196,198,198,198,197,198,197,198,213,179,154,101,133,205,192,194,193,191,189,191,190,190,190,190,192,194,197,197,197,198,198,198,198,199,197,202,213,165,131,97,136,203,187,190,184,196,202,177,191,191,191,191,193,196,197,198,199,199,199,198,199,199,196,201,208,177,157,172,189,195,183,201,184,221,231,140,190,191,192,192,195,196,197,199,202,201,200,199,199,203,206,204,197,197,196,212,215,201,188,200,192,181,164,148,197,192,192,194,196,197,199,201,201,201,200,207,214,219,225,221,204,183,176,176,175,163,147,139,138,137,153,192,195,195,194,197,198,199,201,200,207,210,206,218,225,224,216,201,191,182,175,141,108,127,145,164,176,195,201,197,196,196,194,198,198,201,201,207,226,216,212,209,208,208,206,206,205,205,208,161,109,199,204,205,202,200,197,197,196,196,195,198,199,203,200,215,230,219,216,209,212,217,218,214,208,205,194,153,97,189,203,199,200,200,198,198,197,196,196,200,202,205,203,212,230,218,210,215,221,220,222,213,202,198,180,136,86,152,211,199,203,200,199,199,198,197,197,202,204,205,204,212,225,205,201,207,216,220,207,198,206,212,211,156,90,108,206,204,203,202,201,199,199,198,198,202,204,207,205,220,213,198,199,200,188,188,208,221,213,205,214,156,93,88,187,209,204,203,202,202,201,199,199,203,206,208,207,219,199,200,204,201,189,209,220,206,197,198,190,141,98,77,169,214,204,204,204,203,203,202,201,203,206,208,208,212,213,218,215,219,224,221,208,201,195,184,162,121,93,76,185,211,205,205,205,205,204,203,202,204,207,209,210,208,229,228,216,213,214,213,201,186,181,195,202,161,78,137,216,206,206,206,207,206,205,204,203,205,207,209,212,207,220,229,208,202,194,168,161,197,218,217,217,182,91,167,218,206,208,206,207,206,205,205,204,206,209,211,212,212,205,218,203,196,187,182,205,227,209,187,183,160,94,119,220,208,210,207,209,207,206,205,204,207,209,211,213,215,209,208,221,219,212,218,219,203,186,175,164,134,76,150,221,209,210,210,209,207,206,205,204,206,209,211,213,217,212,205,223,222,201,200,201,189,174,155,123,117,155,207,214,211,211,212,210,208,207,208,206,206,209,211,214,217,213,202,211,211,189,189,181,163,142,111,82,187,225,212,213,212,212,211,210,209,209,208,206,206,208,210,212,215,212,196,205,201,176,167,150,129,108,95,85,171,220,211,211,212,211,210,210,208,208,208,206,207,210,211,213,215,215,192,195,195,169,155,153,138,102,97,85,125,224,211,213,212,211,209,210,209,208,208,206,208,211,212,215,216,214,194,188,186,168,147,132,117,98,96,84,123,224,212,213,212,210,210,211,210,209,207,206,208,211,213,215,217,212,194,194,181,177,155,129,108,102,99,83,131,226,213,214,213,211,211,211,211,210,209,208
7,206,207,206,207,207,207,207,207,206,206,205,204,203,202,201,200,200,199,197,195,193,192,191,188,187,185,183,180,209,208,208,208,209,209,209,208,207,207,208,207,206,205,204,202,201,199,199,198,196,194,193,191,189,187,186,182,209,209,210,210,210,210,211,211,210,209,210,209,208,208,206,204,203,202,201,200,198,196,194,193,192,189,188,186,211,210,212,212,212,212,212,213,212,212,210,210,210,209,208,206,206,205,203,202,201,200,198,197,195,193,190,188,212,213,213,214,214,214,213,214,214,214,213,211,211,210,210,209,209,208,206,201,195,186,181,181,185,195,193,190,214,215,215,215,214,215,214,215,215,216,216,215,215,212,208,195,178,168,158,163,149,131,155,180,154,188,196,192,216,216,216,216,215,216,217,218,218,212,205,195,180,165,152,149,133,122,135,129,123,120,136,149,133,190,197,193,217,217,217,217,218,219,212,191,168,155,147,149,147,142,138,132,121,107,111,100,103,96,82,104,141,163,187,196,219,218,219,219,221,206,179,159,132,131,140,135,135,131,129,113,110,115,106,102,108,101,98,91,82,98,124,192,217,217,220,218,196,179,177,157,122,113,109,105,109,116,125,135,140,139,109,88,106,97,85,80,69,92,99,184,218,221,212,184,174,177,172,158,142,127,124,129,141,148,144,143,131,122,95,74,80,71,68,73,76,95,141,197,221,211,180,171,173,172,166,164,159,145,142,137,139,135,122,118,105,91,75,83,114,142,164,179,192,198,202,200,214,180,172,173,175,169,172,169,151,114,95,101,103,91,82,109,125,146,171,198,213,215,213,210,209,205,203,200,183,179,177,178,175,174,169,151,127,79,70,76,65,58,53,116,215,223,221,218,214,211,210,209,208,206,202,201,179,182,180,177,176,166,144,137,113,81,68,53,50,50,48,38,141,225,217,216,214,212,210,209,207,205,203,202,180,181,178,181,170,151,139,132,126,127,104,60,51,53,47,60,174,219,215,214,212,211,208,207,206,204,204,201,175,179,185,179,159,138,129,125,135,143,104,57,51,46,61,171,223,217,215,214,214,212,209,209,209,208,189,120,177,182,180,162,133,118,117,114,119,110,71,49,43,32,115,231,219,219,216,215,214,215,215,204,177,130,83,60,177,175,158,135,124,122,121,108,100,88,70,54,49,40,117,227,219,220,219,219,220,189,143,103,71,56,51,55,168,152,134,132,129,125,115,91,78,86,88,62,46,84,206,227,222,201,191,188,153,90,65,51,53,52,53,55,145,134,132,126,113,97,80,74,83,98,85,53,70,173,189,171,127,79,72,67,60,55,63,52,41,46,52,56,136,135,123,101,89,85,83,84,83,76,59,76,96,94,85,79,48,42,53,40,51,44,46,50,29,38,47,54,135,128,108,99,98,94,84,74,66,65,97,107,87,73,66,62,55,28,47,37,40,39,38,38,25,31,42,51,119,99,88,87,85,80,71,69,85,108,110,86,69,61,54,49,45,31,32,38,31,35,34,31,20,26,41,48,78,59,68,74,80,82,91,107,116,107,69,61,57,52,43,46,40,36,19,33,27,30,33,24,20,29,39,46,47,84,112,115,121,117,114,114,107,79,55,41,48,49,37,40,35,36,14,24,28,27,33,22,22,31,36,43,61,115,119,116,122,115,113,107,86,50,44,37,37,45,30,34,26,31,17,16,27,26,32,18,25,31,37,41,75,117,119,116,116,115,108,91,60,30,44,40,27,41,25,31,20,28,24,11,25,27,30,19,29,30,38,38
22,133,138,143,147,153,158,162,166,169,172,174,176,178,179,179,180,180,180,179,178,178,177,175,174,173,172,171,170,134,140,144,148,154,159,164,167,171,174,173,174,179,181,181,181,180,179,179,180,179,179,177,176,175,173,172,171,136,142,146,150,155,161,166,169,174,182,165,153,177,182,183,183,182,168,161,178,181,180,179,177,176,175,174,173,138,143,148,151,157,163,168,171,177,193,165,134,173,184,185,185,185,153,131,172,183,182,180,164,160,175,176,175,139,144,148,153,159,164,169,173,179,199,171,132,171,185,186,187,181,143,125,174,184,185,178,142,130,170,178,177,140,145,150,154,160,166,171,174,180,201,179,136,169,187,188,187,175,135,135,180,186,187,173,131,130,174,180,178,141,147,150,155,162,168,173,176,181,204,188,141,165,188,188,182,166,128,149,186,191,189,159,122,150,181,181,180,142,148,152,157,163,169,174,177,182,204,189,140,158,189,188,178,156,121,159,190,196,184,145,129,172,184,182,181,143,149,153,158,164,171,175,179,183,203,190,142,150,188,188,182,155,122,170,196,191,163,131,150,183,186,184,183,145,151,155,159,166,172,177,180,185,201,200,155,145,185,185,177,144,129,188,206,185,140,126,171,188,187,186,185,146,152,155,160,167,173,178,182,186,197,201,155,132,174,172,162,131,145,203,206,174,127,142,185,189,188,187,186,147,152,156,162,169,175,180,184,187,190,193,144,113,151,161,165,161,180,202,188,150,122,168,192,191,190,188,187,148,153,157,162,169,176,181,186,189,175,166,136,120,151,167,176,188,194,190,161,122,138,186,193,192,191,189,188,149,154,158,163,170,177,182,190,196,173,157,143,140,143,151,172,184,186,173,135,119,170,194,195,194,192,191,189,150,155,159,165,172,179,184,197,204,184,177,168,155,125,112,140,162,168,146,115,138,191,198,196,195,194,192,191,151,156,160,166,173,179,185,204,211,187,169,165,160,141,116,104,119,127,112,103,154,198,199,197,196,195,193,193,152,156,160,167,174,180,187,210,210,177,136,125,148,159,144,114,94,92,89,99,169,201,201,199,198,197,195,194,152,157,161,168,175,181,190,214,212,177,131,99,126,168,163,138,110,90,78,95,175,203,203,201,199,198,196,195,153,157,162,168,175,182,191,218,222,188,163,117,142,189,178,151,128,102,73,85,170,204,203,201,200,199,197,196,153,158,162,169,176,182,192,220,223,189,165,136,174,205,186,156,133,105,70,81,170,205,203,202,201,200,199,197,154,158,162,168,176,182,191,218,224,190,167,171,202,198,181,154,126,97,68,93,181,205,203,202,201,201,200,198,153,158,161,168,176,182,189,214,222,198,175,191,212,187,171,158,123,90,67,115,194,204,203,202,201,201,200,197,153,158,161,169,177,183,189,209,220,204,179,194,209,183,166,155,123,83,69,138,201,205,203,202,201,201,200,198,154,158,162,169,177,184,189,203,216,205,179,183,196,174,156,142,110,74,77,162,205,206,205,203,202,201,200,199,153,158,162,169,177,184,185,179,201,199,170,160,169,154,135,117,88,67,101,186,207,206,205,202,201,201,200,199,150,155,158,165,173,179,165,115,144,174,147,136,143,140,121,97,75,73,137,196,202,200,199,197,196,196,195,194,132,134,136,140,143,143,118,72,79,117,128,135,141,144,126,94,72,75,128,153,153,152,152,152,151,151,149,147,114,114,115,116,116,107,79,60,59,73,109,133,139,142,125,89,60,58,98,110,109,108,107,106,106,104,96,86
18,183,184,187,188,191,196,201,204,206,210,213,214,216,219,220,222,224,223,225,226,226,226,227,228,227,227,226,226,183,186,187,190,193,197,201,204,209,212,214,215,217,219,220,222,225,225,226,228,228,229,229,228,228,228,227,227,184,187,189,189,193,199,204,207,211,213,215,218,219,221,222,225,226,226,227,228,229,229,229,232,230,230,228,228,183,187,189,191,194,199,204,209,212,214,216,218,220,222,223,225,226,226,227,229,229,231,229,185,231,229,230,230,185,188,190,192,196,198,204,209,213,214,217,219,221,224,226,227,226,226,229,230,226,248,233,142,169,246,235,229,188,190,191,192,197,202,206,210,213,216,219,221,222,225,226,227,227,228,231,238,218,240,238,170,135,180,218,237,188,190,192,194,199,204,208,212,215,217,220,222,223,227,230,227,234,208,179,207,214,209,253,216,178,136,131,180,188,191,193,195,199,204,208,212,215,217,220,222,224,225,209,232,247,200,183,131,190,210,252,230,188,177,174,133,188,191,193,195,199,204,209,212,218,220,221,218,233,235,187,155,228,213,196,140,164,209,220,226,208,190,174,153,190,192,195,197,201,205,210,214,218,222,221,225,251,237,215,142,195,235,189,151,125,199,169,165,207,203,175,161,190,192,195,199,203,206,211,216,220,222,219,255,255,243,220,166,161,236,192,158,107,160,151,111,236,229,191,167,192,196,196,199,204,208,212,217,221,223,227,254,255,252,220,178,134,221,184,146,96,107,127,111,224,244,202,165,192,196,196,199,205,209,213,217,222,217,240,255,252,231,222,173,120,175,157,129,101,81,93,81,215,238,211,166,192,195,197,200,205,210,214,219,222,223,255,255,243,203,180,143,114,144,137,127,82,76,150,139,232,245,200,166,194,197,197,201,206,210,215,220,217,241,255,231,222,198,128,120,114,140,150,115,112,215,242,201,198,223,181,158,196,198,199,202,207,213,217,222,220,237,255,255,212,171,140,143,110,170,184,168,243,249,229,208,157,196,167,154,196,198,199,203,208,214,218,223,223,235,255,255,230,172,163,162,112,179,214,252,255,228,203,210,163,166,172,150,196,199,200,204,209,215,220,225,221,245,255,255,240,209,189,190,160,175,255,255,234,211,193,201,193,150,167,137,197,200,200,205,210,215,220,226,222,253,255,255,220,209,183,168,192,255,255,240,221,210,204,200,198,156,145,126,198,200,201,205,211,216,220,226,222,255,255,251,222,210,184,181,235,255,255,230,223,221,194,196,188,151,125,105,199,201,202,206,212,218,221,225,223,255,255,250,223,227,188,224,241,255,245,221,224,205,175,195,175,139,116,84,200,203,203,208,213,217,222,227,225,255,255,254,244,231,196,212,235,231,231,210,209,187,180,191,153,127,92,141,200,202,204,207,213,218,222,227,226,255,255,250,251,219,191,184,217,214,215,206,198,182,180,157,130,106,103,238,199,201,204,208,213,220,224,228,226,255,255,255,247,207,166,192,203,212,215,203,194,174,155,122,113,83,199,255,200,202,204,210,214,220,223,229,229,251,255,255,222,178,169,202,201,215,216,203,180,163,137,122,90,140,255,248,202,202,203,209,214,220,223,228,229,254,249,237,221,211,208,205,200,221,210,189,160,149,132,104,94,238,255,250,202,202,204,209,214,224,231,227,233,255,255,255,253,240,223,202,191,215,201,176,150,134,117,91,211,255,250,253,202,203,207,211,220,200,187,222,242,255,255,255,251,234,210,202,189,205,192,167,145,128,94,172,255,251,254,254
1,151,152,154,155,157,158,158,158,159,159,159,158,158,158,158,156,154,157,153,153,152,151,150,149,147,146,145,144,152,154,156,157,159,160,159,160,160,159,160,160,159,160,158,160,151,128,156,156,152,152,151,151,149,147,146,146,153,156,158,160,160,162,162,162,162,161,162,162,161,161,159,170,156,84,137,152,155,153,153,152,151,150,149,147,155,158,159,161,162,164,165,165,165,164,164,164,162,166,148,151,153,96,139,106,145,158,155,153,152,152,150,149,158,160,161,163,164,166,167,166,166,166,167,167,164,177,133,118,141,97,152,101,132,164,157,156,155,153,152,152,159,161,164,165,165,167,168,167,168,168,168,169,169,179,122,121,143,100,147,99,120,168,158,158,157,155,154,153,161,162,164,168,168,168,170,170,170,170,171,168,161,177,109,118,142,99,145,102,114,170,161,161,159,158,157,155,163,165,167,169,170,171,172,172,173,173,173,172,128,166,106,114,140,98,144,111,113,170,163,164,161,161,159,158,164,167,169,171,172,172,173,173,174,173,181,158,109,157,99,127,142,98,137,110,113,171,164,165,163,162,160,160,166,168,170,172,173,174,174,174,175,174,186,140,101,144,96,156,145,101,153,125,110,174,167,167,165,164,163,161,167,169,173,174,173,174,177,178,177,177,187,129,109,156,102,151,129,99,169,131,114,176,169,169,166,165,164,163,168,171,174,177,177,178,178,179,178,184,187,108,115,151,86,128,102,94,166,120,117,177,170,170,168,167,166,165,170,173,175,177,179,181,179,180,179,190,183,115,145,124,96,129,115,132,161,115,119,179,171,172,170,168,167,165,172,174,176,179,180,182,180,181,179,197,170,109,162,152,144,135,127,152,146,112,121,180,171,173,173,171,170,167,173,175,177,180,182,182,183,183,181,198,168,147,129,157,173,172,138,113,120,105,119,182,175,175,174,171,171,168,174,176,179,180,181,183,184,183,188,195,172,148,106,128,137,164,167,144,112,85,117,185,177,176,175,173,172,170,174,178,180,180,181,184,185,182,194,193,151,126,116,121,125,157,174,166,149,102,112,188,177,178,176,174,174,172,175,179,181,182,183,185,186,183,201,196,143,129,136,128,151,170,171,180,157,135,101,170,183,179,177,175,173,173,177,180,182,183,185,186,188,184,203,197,150,136,138,138,172,194,180,170,150,134,94,157,186,179,179,177,175,173,178,180,182,184,185,187,187,185,200,201,165,145,134,148,191,202,180,156,131,115,94,157,187,179,179,179,176,173,177,181,183,185,186,188,188,186,197,209,182,151,140,144,201,209,174,141,118,99,93,157,188,180,179,179,176,174,179,181,184,186,188,190,190,188,194,206,181,155,145,136,200,195,163,132,112,96,100,174,187,183,181,179,178,176,180,181,184,187,187,188,190,190,192,199,178,164,146,143,190,177,151,125,108,94,116,187,183,184,182,180,180,177,180,181,184,187,188,189,190,191,191,194,186,182,155,166,183,161,138,117,104,95,152,191,184,184,183,180,180,178,180,182,185,187,189,190,189,191,190,189,190,182,152,149,162,147,124,109,99,108,181,187,186,184,183,181,180,179,181,183,186,187,189,190,191,192,193,191,183,167,146,134,140,137,121,109,96,126,193,187,186,185,184,181,180,180,181,183,185,188,190,190,191,191,192,192,177,154,143,145,141,138,134,109,94,152,194,187,186,185,183,182,181,181,180,182,184,187,188,189,190,190,190,189,186,167,167,160,144,133,133,102,91,172,190,186,186,185,183,181,180,179
2,115,128,135,136,141,145,150,155,159,162,164,162,166,172,175,172,179,182,184,181,182,185,185,184,185,185,186,187,117,130,137,138,143,148,151,157,159,158,164,188,207,205,189,186,188,157,131,182,180,179,186,183,184,185,185,184,118,129,137,140,146,151,156,156,168,189,204,190,160,140,102,100,125,97,62,109,119,98,168,188,183,184,184,183,120,131,137,141,148,155,154,171,227,214,156,112,92,89,73,68,72,71,74,78,67,68,167,190,183,183,183,184,123,133,140,143,150,153,176,230,205,138,72,57,63,63,61,65,61,53,75,93,109,167,189,183,183,183,183,182,125,136,142,146,154,158,229,214,116,75,59,43,61,51,49,56,61,98,166,187,192,190,187,186,186,187,185,184,128,138,143,150,154,175,243,172,80,58,55,56,66,50,63,60,156,199,192,190,190,190,190,190,187,186,188,186,131,141,146,154,154,189,241,151,81,56,47,59,54,59,60,96,206,194,194,195,195,195,196,191,197,167,183,191,134,144,148,156,155,212,230,121,60,48,50,48,42,57,51,161,208,199,200,199,201,202,195,200,202,133,184,197,138,147,151,159,158,235,217,121,81,67,65,50,52,52,95,212,203,204,204,204,204,204,202,215,166,114,202,199,142,151,155,158,173,254,211,135,93,76,62,55,74,58,141,220,205,209,209,208,208,204,204,202,127,135,216,202,145,153,159,160,204,255,206,136,88,75,56,58,70,55,174,219,210,213,213,211,215,198,189,182,97,146,221,206,150,156,160,163,215,255,200,130,86,73,56,58,61,57,185,225,214,215,214,217,212,184,191,156,84,134,225,209,152,158,163,165,216,255,195,125,87,69,58,52,65,70,128,212,209,221,227,223,195,196,191,141,78,168,226,214,153,160,166,167,211,255,195,136,95,72,57,56,75,96,90,116,139,144,183,185,189,197,187,119,125,229,217,220,156,163,170,169,215,255,195,140,99,77,58,62,94,108,107,125,146,148,130,162,196,188,149,102,215,227,222,222,160,164,172,173,228,255,196,146,106,80,57,71,102,100,108,133,154,167,163,150,179,168,97,176,237,226,227,225,163,166,174,176,235,249,195,150,117,85,61,78,101,102,131,152,163,153,150,135,138,110,132,241,227,230,230,229,165,170,179,179,234,241,195,156,125,89,67,82,106,122,154,158,153,139,123,115,99,82,220,238,231,233,233,232,168,172,180,185,235,233,191,162,134,92,73,85,109,129,146,150,138,125,111,92,75,181,246,232,234,235,234,233,171,174,183,186,226,222,188,171,144,96,86,89,107,130,134,140,130,115,93,99,205,248,237,239,237,238,238,237,174,176,187,187,218,216,193,182,147,104,96,89,110,126,131,132,124,95,113,233,251,238,241,241,241,241,240,240,176,180,188,191,219,216,201,181,141,109,103,91,117,121,123,122,98,97,228,250,238,242,242,243,243,242,241,242,179,182,191,198,231,219,198,171,138,118,108,91,111,112,107,90,101,217,252,241,245,244,243,244,244,243,243,242,182,185,192,206,242,220,205,174,139,118,105,93,102,108,76,131,235,252,244,247,247,247,246,245,245,243,244,249,183,187,192,214,244,221,215,174,134,112,101,93,102,80,126,249,251,245,248,249,248,249,248,246,249,255,255,226,185,189,195,217,231,213,198,159,115,99,92,95,89,105,236,247,248,249,250,250,249,249,251,255,241,187,120,71,187,192,197,215,216,205,196,160,109,98,100,106,77,176,252,246,251,251,251,250,250,253,232,160,94,52,42,43
14,106,108,110,112,115,117,119,121,121,122,123,126,127,126,128,130,129,128,129,129,130,130,130,130,130,129,129,129,105,108,110,113,117,118,121,121,122,123,126,127,128,128,130,131,130,131,132,132,133,133,132,132,132,131,132,131,106,109,111,114,116,118,121,122,124,125,126,127,129,129,129,134,136,133,133,133,133,134,134,133,133,133,133,132,107,110,111,115,118,119,122,124,124,126,132,129,133,130,118,110,115,129,134,137,136,135,135,135,135,135,134,134,109,113,115,118,119,121,123,125,121,143,150,139,127,113,103,104,98,99,95,97,129,138,134,135,135,135,134,135,110,113,117,119,121,123,125,120,138,167,135,106,93,74,55,73,87,79,60,59,72,141,137,137,136,136,136,136,111,114,116,118,122,123,125,122,173,152,100,65,52,45,45,42,53,57,56,65,50,100,147,138,139,140,138,136,111,114,116,120,122,124,119,149,180,121,83,65,37,34,39,28,34,52,67,65,52,57,90,100,107,142,138,139,114,115,119,121,124,125,121,177,149,92,68,45,33,42,39,29,31,43,69,70,41,62,46,70,84,142,139,141,114,117,119,122,126,119,144,183,124,80,61,34,26,34,31,40,34,116,143,136,111,68,65,73,91,147,139,140,115,118,120,122,126,123,179,171,116,79,66,57,36,18,30,36,64,145,142,142,151,90,91,74,90,149,139,141,114,118,124,127,119,150,192,159,116,77,65,57,41,33,33,37,120,146,140,144,141,86,100,77,69,145,141,141,115,119,124,127,116,162,189,157,113,72,61,51,36,40,35,70,151,141,143,144,140,80,98,84,53,122,148,141,117,121,124,129,115,158,192,157,119,84,58,43,32,38,28,98,151,142,143,147,138,76,90,85,59,106,151,141,117,122,125,130,116,160,193,157,122,94,67,44,35,36,23,109,154,144,143,149,126,90,105,91,65,118,150,142,118,123,126,131,115,167,191,159,128,96,72,54,31,33,24,83,145,145,148,155,113,94,109,94,71,133,150,143,119,123,125,132,115,169,192,164,129,103,81,67,38,36,44,44,62,77,101,131,88,95,105,91,79,142,148,147,120,123,126,133,115,168,189,162,131,108,89,77,50,35,49,51,55,64,73,75,76,100,105,84,86,151,147,147,121,125,129,133,118,166,184,161,134,112,91,76,59,35,50,59,72,82,88,90,73,78,100,79,98,154,147,148,121,127,129,133,118,169,182,162,134,113,89,74,67,43,55,69,83,88,89,89,77,68,84,73,117,155,148,149,123,128,130,133,116,167,176,156,131,108,85,73,68,54,59,72,84,88,88,88,80,74,81,68,132,154,148,149,124,129,131,135,120,161,169,148,128,107,87,79,71,63,67,76,82,85,84,82,80,81,72,96,150,149,149,149,124,127,132,134,126,165,169,150,130,109,96,86,76,68,73,79,81,86,82,79,83,77,106,149,152,152,151,150,125,128,132,135,128,172,172,151,133,110,95,83,76,73,71,79,82,84,81,85,76,115,156,153,152,153,152,152,125,130,133,137,125,174,172,154,136,110,89,76,78,79,74,80,84,86,86,75,98,154,153,152,153,153,151,152,126,131,133,135,126,176,166,149,131,104,83,78,81,81,79,84,88,87,76,96,150,154,153,154,154,153,151,153,128,132,134,136,129,174,163,150,134,107,81,79,81,78,76,82,87,79,104,154,154,154,154,154,154,154,153,152,129,132,134,135,135,169,164,152,142,118,81,76,77,77,76,80,79,101,153,156,155,154,155,154,154,154,154,154
21,122,130,136,139,142,149,154,158,161,164,165,168,170,171,171,171,172,171,170,170,171,169,169,168,166,165,165,163,123,132,138,141,144,150,156,159,163,167,168,170,171,172,175,174,173,173,172,172,172,171,171,168,166,165,165,165,126,135,140,143,147,153,157,161,165,168,171,172,172,173,173,176,176,175,175,175,173,173,172,170,169,167,166,166,126,136,141,143,147,154,159,164,167,170,172,174,173,191,157,143,180,177,177,177,176,175,174,173,172,170,168,167,127,137,143,144,149,156,161,165,167,171,174,175,176,205,165,108,173,180,179,179,177,177,177,174,175,172,171,169,130,139,144,145,151,158,163,166,170,173,176,177,176,201,183,117,154,184,180,180,180,179,181,167,135,171,173,172,131,140,145,146,153,159,165,168,172,175,178,180,180,193,210,151,139,187,182,182,182,181,188,160,98,159,176,174,133,142,147,149,155,161,167,170,173,177,179,182,183,190,223,170,123,185,185,185,183,184,186,154,101,165,178,176,135,143,148,151,157,164,169,171,175,179,181,184,185,188,220,175,119,171,189,187,185,194,187,142,106,181,179,178,136,144,149,152,159,165,170,174,178,181,182,186,187,187,221,186,128,154,192,188,187,200,182,128,126,186,181,179,137,144,150,153,160,166,171,176,179,182,184,187,188,186,219,204,144,146,194,188,194,194,158,106,154,187,183,181,137,146,151,154,161,167,172,176,180,183,186,188,189,189,209,205,140,139,196,192,206,193,147,95,176,187,183,182,139,149,152,156,162,169,174,178,182,185,187,189,192,192,204,203,125,122,195,194,205,184,129,120,191,186,185,184,141,150,154,157,164,170,176,179,183,186,188,191,192,162,156,207,130,140,178,189,183,154,98,156,193,187,187,186,140,151,157,159,165,172,178,181,184,187,190,197,205,151,120,165,141,138,169,182,177,123,97,188,191,189,188,187,141,151,158,160,167,174,180,183,186,189,191,184,201,157,144,126,145,137,126,161,162,101,144,198,192,191,190,188,143,153,157,160,168,175,181,184,188,192,207,159,152,163,166,158,169,139,77,106,130,86,161,198,194,193,192,190,143,154,158,162,170,176,182,185,188,207,221,187,123,154,164,153,154,130,101,75,79,77,172,199,194,194,193,191,145,155,159,163,170,176,182,187,189,208,220,195,131,123,150,107,121,139,126,97,68,69,181,199,196,196,194,193,146,155,160,165,171,178,184,188,190,218,212,184,143,105,158,144,87,148,146,117,88,62,153,205,198,196,195,194,146,156,161,165,173,179,185,189,192,218,204,188,144,85,153,207,111,140,175,128,103,74,114,208,199,198,197,195,148,158,160,165,173,180,186,191,191,219,231,203,134,120,112,156,108,164,167,132,107,81,107,208,200,200,197,196,149,158,161,166,174,181,187,192,192,215,233,216,158,168,97,129,184,170,157,117,104,72,121,209,201,201,199,197,149,159,163,167,175,182,187,193,194,209,235,204,173,149,119,173,197,152,148,139,96,66,138,211,202,201,200,200,149,160,162,167,177,184,188,194,197,205,231,201,194,154,163,210,185,161,150,146,107,60,167,210,203,202,201,201,149,158,161,167,175,182,188,194,197,201,223,202,194,165,173,206,180,161,136,126,91,70,197,207,203,202,202,202,149,157,160,166,175,182,188,192,196,200,213,204,190,171,142,176,157,133,112,96,64,108,212,205,203,201,202,200,151,158,162,168,176,182,188,192,200,176,173,209,188,161,128,132,133,122,100,81,61,170,211,206,204,202,202,200
12,156,156,159,160,161,164,165,164,164,163,163,163,162,162,161,159,160,160,158,158,158,157,156,156,154,152,152,151,157,157,159,161,163,165,166,165,165,166,165,166,164,164,165,166,165,160,161,160,157,158,157,156,155,154,155,154,158,159,159,163,166,165,166,166,167,167,167,169,166,165,152,134,154,164,153,156,170,161,158,156,157,157,157,156,159,160,161,164,166,167,167,167,167,168,168,168,165,162,126,79,48,143,119,75,83,157,165,159,155,158,157,157,160,161,165,166,166,167,168,169,170,170,166,167,170,137,100,66,46,123,93,67,0,90,152,153,166,157,158,158,161,164,165,166,168,168,168,171,168,169,157,112,146,139,121,37,90,146,100,62,46,113,91,45,105,168,157,157,163,165,164,167,171,170,169,170,170,176,161,96,125,181,124,31,136,162,103,67,84,97,74,32,4,109,169,157,164,165,165,169,170,171,171,169,181,193,165,109,105,167,90,27,165,161,83,71,137,114,74,39,11,30,168,159,165,167,167,169,170,173,174,169,188,176,156,106,47,54,57,3,79,103,22,89,177,115,94,33,0,21,162,161,166,167,169,169,173,174,171,178,200,171,128,84,50,0,0,32,87,110,80,134,176,108,57,3,0,28,166,159,167,168,169,171,173,172,176,193,171,160,103,67,43,0,51,159,166,152,136,154,104,51,26,25,0,30,173,162,167,169,172,173,174,170,192,195,154,116,102,122,37,81,179,168,152,142,121,134,134,70,71,65,16,67,177,161,168,171,173,173,174,175,205,189,161,132,101,129,116,191,179,158,147,153,129,129,128,84,48,51,6,127,174,163,169,172,173,174,175,180,206,194,175,170,135,136,166,173,179,154,158,145,117,131,108,62,31,17,7,161,168,164,170,173,175,176,175,183,205,200,184,169,156,143,157,159,165,154,153,134,126,123,86,41,23,0,39,180,164,166,171,174,176,178,177,183,204,201,184,161,142,141,145,155,161,152,148,130,122,94,55,24,17,0,80,185,164,167,171,173,175,176,176,181,201,197,168,142,136,147,146,160,167,151,137,122,95,59,30,14,9,0,118,184,169,168,171,174,177,177,178,181,184,176,162,159,156,150,149,172,159,139,114,103,75,41,24,13,0,13,171,174,171,167,172,176,176,179,180,186,196,197,191,182,166,144,146,170,144,115,91,81,52,32,23,0,0,142,179,171,171,171,174,175,177,180,178,195,204,198,188,172,158,143,140,159,130,95,76,57,38,22,0,19,143,181,171,173,172,172,174,176,178,178,181,203,202,196,183,159,147,144,145,141,112,85,61,43,12,1,83,170,183,174,174,174,175,173,172,176,178,175,185,206,196,186,174,157,140,141,145,129,101,69,37,5,13,138,188,176,175,176,175,175,174,172,180,175,176,171,194,193,182,168,167,155,130,136,132,105,84,60,16,0,142,187,174,177,174,175,174,173,172,169,127,174,183,176,192,172,165,156,154,141,140,135,122,90,62,42,1,101,185,174,178,177,175,174,174,173,172,171,23,26,100,199,177,154,144,139,139,149,139,123,113,78,51,17,21,168,181,180,178,177,176,174,174,173,173,173,33,13,7,132,165,142,130,139,151,154,125,107,99,64,40,0,75,190,181,180,180,177,176,176,175,174,174,173,22,25,27,5,28,45,41,51,73,93,89,89,80,50,23,0,137,189,179,181,181,179,177,176,175,174,175,172,21,17,25,9,0,0,0,0,0,0,0,4,26,26,0,31,171,181,181,181,181,180,178,175,174,174,173,173
18,153,156,159,161,164,166,169,172,174,175,178,180,181,182,184,184,184,184,186,184,184,185,185,186,186,187,187,187,154,158,160,162,165,167,171,174,177,178,180,181,183,184,184,185,186,186,187,189,186,188,188,188,189,189,189,189,156,158,160,164,167,170,172,175,179,181,182,183,185,186,188,189,188,177,156,169,193,189,187,192,191,190,192,191,157,159,163,165,169,172,173,177,180,181,185,186,187,187,184,183,205,175,136,107,155,158,141,164,196,193,193,193,158,161,165,168,171,174,175,179,181,183,186,188,190,189,155,135,176,155,107,103,84,139,137,104,168,198,195,195,160,163,165,169,173,175,179,181,184,185,187,183,195,203,151,128,162,138,98,93,80,135,151,110,110,201,196,196,163,165,168,171,175,178,182,183,186,187,192,157,140,181,170,151,166,147,128,119,104,110,133,110,95,199,198,197,164,167,170,173,177,181,182,185,187,192,205,171,144,126,175,161,147,168,163,161,151,122,95,90,98,200,200,199,165,168,171,174,177,180,184,186,188,198,199,198,172,128,128,160,129,148,177,174,172,139,89,67,98,203,201,200,166,170,172,176,179,181,185,187,190,198,168,192,173,145,96,125,134,104,151,171,168,135,96,68,99,207,201,202,168,171,174,177,182,185,187,187,191,197,140,137,157,129,80,89,122,88,92,135,158,148,114,74,113,210,202,203,169,172,175,179,182,186,188,190,192,200,158,127,145,101,70,72,100,80,64,90,167,167,131,84,106,211,203,205,170,173,175,180,182,186,188,190,192,206,183,146,136,97,72,64,92,75,51,71,162,184,147,106,80,188,207,205,171,174,178,180,183,186,189,192,194,206,177,138,121,99,77,60,95,80,45,137,190,198,167,119,78,115,212,207,172,175,179,182,185,188,191,194,194,203,196,171,137,106,82,72,82,66,123,203,207,193,163,119,93,99,210,209,174,176,179,182,185,189,192,196,195,205,201,176,139,109,93,86,81,116,197,219,213,192,152,111,91,114,213,208,174,176,181,183,185,189,192,196,196,206,204,183,148,122,110,112,113,174,214,221,200,178,143,100,82,135,215,208,175,178,181,183,187,190,193,196,198,203,205,189,162,143,132,114,126,185,213,214,183,154,125,95,77,160,216,210,174,178,181,184,187,191,194,196,197,201,202,190,170,149,137,123,126,172,214,208,173,145,114,91,80,178,216,212,174,177,182,185,188,191,194,199,199,199,201,193,173,149,142,144,124,160,214,199,160,131,104,87,87,197,215,213,173,177,182,185,187,190,194,195,199,199,197,190,177,159,162,154,125,143,211,182,148,116,96,84,102,211,214,214,174,177,180,183,187,190,194,193,198,200,195,187,180,167,159,159,131,131,199,166,133,105,90,81,121,219,213,214,174,178,181,184,187,189,195,195,197,199,197,189,183,169,158,155,135,118,180,154,115,97,88,78,143,216,212,214,176,179,184,185,187,191,195,196,198,201,200,195,190,171,154,144,124,102,161,133,100,90,89,85,183,215,214,214,176,179,183,186,188,192,194,197,199,200,195,206,188,162,141,124,98,100,138,113,99,91,83,127,216,215,214,214,176,179,182,186,189,192,194,196,199,198,194,210,185,157,136,109,100,104,129,107,99,91,89,183,215,213,214,215,176,180,182,186,190,193,194,197,200,196,200,212,189,165,148,122,111,113,129,101,100,78,129,216,214,213,213,215,175,180,182,185,189,192,194,196,198,192,201,205,194,173,159,126,105,127,121,103,90,74,172,215,211,214,213,214
1,159,161,163,165,167,170,172,173,173,174,174,175,176,175,175,174,173,172,175,172,171,171,170,168,167,167,166,164,160,164,165,167,169,172,173,174,176,176,176,176,176,176,175,175,179,177,163,174,172,172,172,170,169,167,167,165,162,165,168,169,171,174,176,176,177,177,177,178,178,176,183,170,184,188,126,165,172,173,172,171,171,168,167,167,164,167,170,172,173,176,178,178,179,179,179,179,180,178,204,159,135,182,120,136,150,155,176,172,172,171,170,168,166,170,172,173,175,177,179,180,182,182,182,181,179,189,209,149,116,174,117,135,151,126,179,173,174,173,172,170,167,171,173,175,177,179,181,182,184,183,182,193,187,147,182,138,128,188,124,136,153,119,176,176,175,174,173,172,169,172,175,177,179,181,183,184,185,186,183,208,175,111,156,138,133,188,129,124,153,120,175,180,177,176,174,172,171,174,177,179,181,183,185,185,187,187,188,209,157,111,157,131,123,167,119,139,166,125,170,183,178,178,177,175,173,176,178,180,183,184,186,188,189,187,196,210,154,111,146,119,135,162,113,143,164,122,166,186,180,180,178,177,174,177,179,181,184,185,187,189,191,187,204,201,146,120,152,117,153,171,117,137,157,119,171,186,182,182,180,179,176,179,180,183,186,187,188,191,191,188,207,193,138,130,169,123,139,161,114,155,163,121,173,187,184,183,181,179,176,180,182,184,187,188,190,191,194,190,214,197,157,120,146,104,113,130,105,172,161,123,176,189,186,185,183,181,177,181,183,185,187,189,190,193,195,193,215,183,144,109,113,112,116,115,118,159,140,118,185,188,187,186,184,184,179,183,185,187,189,190,193,195,196,197,209,182,164,158,131,148,121,152,162,128,117,129,195,187,188,187,185,183,180,184,187,189,190,193,195,196,197,204,224,212,172,187,185,176,170,184,154,112,109,153,197,188,188,188,186,184,180,184,189,190,193,195,196,198,195,217,233,182,147,154,180,188,184,170,156,135,94,161,198,189,190,188,187,185,182,186,190,192,195,196,198,200,196,226,213,156,145,118,118,153,143,170,185,150,99,164,200,191,191,189,188,186,184,187,190,194,197,198,199,201,200,231,218,183,145,135,127,114,158,161,204,169,112,151,202,192,192,191,189,187,186,189,192,195,197,200,202,202,206,233,216,189,141,144,120,167,218,172,199,179,130,113,194,196,193,193,191,188,186,190,194,197,199,202,203,204,208,230,218,187,137,149,131,210,219,204,174,154,142,111,188,199,194,194,192,190,187,191,195,198,200,202,205,204,211,230,223,181,143,146,160,229,221,194,173,142,122,120,200,198,197,194,193,191,189,193,196,199,201,204,206,205,212,232,215,172,160,133,188,230,213,192,166,153,105,136,208,198,198,196,195,193,189,194,198,200,202,205,207,206,212,229,207,187,168,141,211,225,205,185,163,141,101,174,207,200,200,198,195,194,190,194,198,201,203,205,207,213,219,222,206,203,171,159,216,217,198,178,153,116,123,207,202,202,200,198,196,194,191,195,199,202,204,206,213,181,174,226,207,208,171,150,199,197,178,160,138,99,177,212,203,202,201,200,198,196,193,196,200,204,205,207,213,120,96,175,204,201,143,135,162,165,154,137,100,131,215,204,205,205,203,201,199,198,193,198,200,204,204,214,179,104,107,98,125,136,119,133,141,140,122,103,107,201,210,206,206,206,204,201,200,198,192,195,200,203,204,213,141,106,104,102,98,102,105,113,111,111,90,68,159,219,206,207,207,206,204,202,200,198
15,87,86,89,87,92,93,94,97,99,108,120,129,136,141,146,151,153,156,159,163,166,169,171,173,174,177,179,181,87,87,88,87,90,91,90,94,99,109,119,128,136,142,147,152,153,156,160,162,164,170,172,173,175,178,180,182,88,87,87,87,90,92,107,96,97,109,120,130,138,143,148,153,154,156,160,164,166,170,173,174,177,180,183,183,88,87,87,88,80,127,179,143,114,110,116,128,138,146,150,155,156,156,159,164,167,171,174,176,178,180,181,183,89,87,86,88,82,130,183,174,159,148,133,134,130,140,148,155,157,157,161,165,169,171,174,177,179,179,182,183,88,88,88,89,89,93,140,144,140,154,153,155,144,136,132,136,141,147,154,162,170,174,177,178,179,180,183,185,87,88,87,88,91,91,95,108,110,126,136,141,158,154,146,142,140,142,141,135,137,144,160,182,181,183,184,186,87,88,87,88,89,92,93,95,101,110,115,112,138,144,143,137,140,154,162,150,127,113,97,149,185,183,185,187,88,89,88,89,91,94,95,96,100,111,120,123,130,133,131,126,122,154,163,165,143,132,102,88,166,187,185,188,86,88,88,89,90,93,94,95,100,111,121,131,139,142,141,135,136,167,165,165,154,150,128,105,102,177,189,188,87,88,88,88,90,91,94,96,100,109,119,131,138,147,154,150,176,177,154,157,172,158,151,131,97,107,183,190,88,88,89,88,91,91,94,96,100,110,138,138,140,139,146,171,181,168,128,159,171,158,172,146,111,83,119,192,88,89,89,89,91,91,95,96,95,136,172,154,160,155,135,147,147,116,101,151,151,156,181,153,118,95,79,142,88,88,88,88,88,91,92,95,97,131,153,162,183,181,146,119,127,106,78,141,131,159,175,153,125,102,85,83,87,86,86,87,89,92,92,95,99,111,128,145,176,173,141,138,145,136,127,130,133,144,150,142,123,101,86,83,86,86,86,86,87,90,91,93,99,111,123,136,148,136,132,151,151,145,150,152,138,108,104,118,109,97,86,82,85,84,84,86,87,87,88,90,98,112,122,128,139,147,121,137,150,155,160,162,140,102,86,95,95,93,93,84,83,83,83,85,86,86,87,89,97,111,121,128,149,204,130,87,90,138,151,155,133,98,89,94,92,94,96,91,82,82,83,83,84,85,88,90,98,111,120,127,147,196,133,77,44,72,127,141,118,98,96,95,93,94,98,96,82,82,83,83,83,85,87,88,97,111,120,127,143,185,124,68,84,58,81,124,100,92,94,99,100,98,98,94,82,82,82,82,83,85,87,88,96,110,120,127,143,184,116,81,102,80,94,118,129,111,109,108,105,101,97,93,80,80,80,80,81,83,85,86,95,107,117,128,138,189,102,94,129,103,136,106,136,121,113,106,100,97,95,90,77,77,78,78,79,81,83,84,92,106,116,125,144,195,87,103,178,77,158,147,119,94,96,93,92,92,93,92,81,79,80,81,80,80,83,83,91,104,115,124,141,154,80,120,180,76,146,172,126,120,124,75,73,78,76,78,133,131,128,126,123,122,125,125,127,127,129,131,139,122,103,145,141,105,151,157,159,164,161,102,69,70,70,73,104,101,100,98,99,100,103,105,102,101,99,96,100,98,103,107,105,104,108,108,109,107,108,103,82,81,89,95,103,102,102,100,101,100,101,100,100,102,101,97,99,101,102,102,101,102,104,103,102,100,101,103,102,107,113,107,104,103,103,102,101,103,104,101,102,104,107,105,104,107,104,103,105,105,107,105,106,105,106,108,107,109,141,118
22,78,81,87,95,103,110,114,117,120,125,128,131,133,135,138,140,140,142,142,141,141,142,140,139,140,139,139,138,79,82,88,97,105,112,116,119,123,127,130,133,136,138,140,142,142,144,145,144,144,144,143,142,142,142,141,140,79,83,88,98,106,113,118,121,125,130,134,137,139,139,142,144,144,145,146,147,146,146,146,146,145,144,144,144,80,84,89,99,108,116,121,122,125,131,136,136,142,142,144,146,146,148,148,150,152,150,149,149,147,149,147,146,81,85,91,101,110,119,123,124,128,133,136,158,121,137,148,147,149,150,154,144,134,154,151,150,150,134,147,148,81,84,91,103,111,120,123,126,130,132,145,181,101,122,153,148,152,152,169,133,89,156,152,160,150,87,126,155,82,84,92,103,112,120,124,127,132,134,148,187,111,117,157,150,153,157,170,113,89,162,155,170,143,82,140,156,82,85,93,105,115,122,125,128,135,137,146,191,128,113,159,154,154,168,170,94,117,166,171,164,106,99,162,153,83,86,94,106,115,124,127,130,136,139,147,196,146,107,158,156,157,164,152,84,138,169,180,153,93,140,163,156,83,86,95,107,117,124,128,131,137,142,147,191,149,101,152,159,162,171,136,75,159,179,158,121,103,164,159,159,84,86,96,108,117,125,130,132,138,145,146,186,167,111,141,162,170,186,123,79,193,190,150,88,135,168,160,160,83,86,96,108,118,127,131,134,140,147,145,183,179,126,132,167,168,176,81,112,209,182,132,91,165,163,164,163,83,87,97,109,119,128,132,134,141,148,147,167,174,116,95,154,159,164,138,179,186,161,94,115,175,164,165,164,85,87,97,110,120,130,133,135,142,148,150,151,173,114,118,160,166,172,189,185,169,123,76,157,171,166,165,165,84,88,99,111,121,130,134,137,141,152,166,125,162,137,140,184,163,179,178,179,149,87,114,180,168,169,166,167,84,88,99,112,122,131,134,138,139,171,174,146,131,136,121,145,162,178,174,158,126,81,148,178,170,170,168,169,85,88,99,112,122,132,136,140,143,168,167,169,160,156,119,70,120,156,154,124,114,80,161,178,173,172,170,169,85,88,101,112,123,132,136,141,143,161,173,150,158,146,113,95,74,83,107,106,95,80,174,177,175,173,172,171,84,89,101,113,126,133,136,141,142,167,167,147,131,123,134,123,101,76,72,68,89,77,172,179,175,174,173,173,85,88,101,114,125,133,138,142,145,163,200,173,127,119,131,140,121,102,97,73,61,70,167,180,176,175,174,174,85,89,101,114,125,133,137,141,146,157,209,164,147,145,168,177,136,116,108,68,51,61,170,180,177,176,175,175,84,89,102,114,126,134,138,141,148,154,206,174,155,177,199,190,152,124,104,66,48,73,181,178,178,177,175,176,84,88,102,115,126,136,138,141,150,152,199,184,156,174,199,170,151,114,98,72,44,94,189,178,179,177,177,176,83,89,102,115,126,134,138,143,151,151,188,195,171,166,199,157,152,135,97,73,42,102,192,179,181,179,177,176,81,87,102,115,127,135,137,143,150,152,174,197,179,154,192,165,147,139,99,66,42,118,191,179,181,180,178,177,79,86,102,115,126,134,136,142,150,157,171,193,181,142,172,160,134,121,84,59,48,151,188,179,180,178,178,177,79,85,102,115,126,134,137,143,152,147,121,173,173,128,130,130,107,90,67,57,70,180,183,181,181,179,178,178,78,84,100,114,126,134,137,141,157,92,11,139,159,111,121,126,112,87,74,53,95,193,181,181,181,179,179,179
6,164,164,163,164,164,164,164,164,163,163,164,163,162,162,159,159,158,157,156,156,154,152,151,151,150,148,147,144,167,167,167,168,167,167,167,166,166,166,166,164,163,162,161,160,160,159,158,157,157,155,153,152,152,150,149,147,168,169,169,168,169,170,169,168,168,168,168,167,167,165,164,163,163,161,160,160,159,157,156,155,154,152,151,149,170,171,170,170,171,170,170,171,170,170,171,169,168,168,167,166,164,163,162,161,160,160,158,157,156,155,152,151,173,173,173,172,173,173,173,172,172,172,172,172,171,170,169,168,167,165,164,163,162,161,161,159,157,157,155,154,174,174,175,174,174,175,174,174,174,174,174,173,172,172,170,170,169,168,167,165,164,163,163,162,159,158,157,156,175,175,176,176,175,176,176,176,175,176,175,174,174,173,173,171,170,169,169,167,166,164,163,163,161,160,158,156,176,176,177,177,178,178,178,178,178,178,177,177,176,174,173,173,172,172,172,172,171,168,167,167,164,160,161,159,178,177,178,179,179,179,179,179,179,179,179,180,179,180,179,177,175,170,164,159,154,155,151,141,143,151,147,159,179,178,179,178,179,180,180,180,182,182,178,171,166,164,156,148,141,139,122,118,126,131,125,117,147,176,139,145,180,180,180,180,180,180,181,183,172,150,134,132,129,133,134,131,128,127,119,116,129,115,116,112,113,125,117,151,181,182,181,182,180,183,179,165,151,139,122,124,129,132,137,132,126,103,99,90,87,90,103,105,111,130,153,165,183,183,183,183,185,172,153,150,149,135,108,91,101,100,94,93,94,89,98,122,145,159,166,170,175,174,170,165,183,183,184,186,167,145,147,148,143,132,116,85,66,47,126,171,176,176,178,183,182,178,175,173,170,169,168,168,184,185,186,166,143,147,150,149,150,150,139,100,63,56,81,111,139,177,181,177,177,175,174,174,173,172,170,169,187,184,164,151,152,155,157,156,154,154,119,72,58,61,57,52,47,82,182,180,179,178,177,175,174,172,171,170,173,152,149,158,158,156,159,147,145,140,89,59,53,56,63,66,66,48,139,189,178,179,178,176,175,174,172,169,149,149,159,160,157,157,150,139,144,141,119,97,59,44,53,57,61,39,97,190,179,179,179,177,175,174,172,171,152,154,157,160,161,155,141,142,147,146,150,121,71,53,54,48,55,103,167,183,179,179,179,177,176,174,173,172,154,155,161,163,156,144,138,141,139,139,136,96,59,55,57,55,60,187,188,181,181,180,179,178,177,175,174,172,155,157,158,153,145,140,139,138,131,125,118,87,51,45,54,49,68,181,183,182,182,180,179,178,176,175,174,173,156,153,143,139,144,142,136,130,119,118,125,115,69,47,49,59,166,187,181,180,180,179,178,177,174,172,171,171,146,137,134,139,136,125,117,113,117,126,138,127,74,58,57,60,183,185,182,180,179,178,178,176,178,181,178,170,139,137,138,130,120,112,115,118,122,123,125,96,60,50,41,93,187,182,182,181,184,182,182,185,166,141,113,84,135,133,126,118,117,116,114,104,97,92,79,51,64,93,121,183,186,190,191,185,170,169,168,147,83,59,47,51,123,113,94,96,109,111,102,85,70,61,66,114,181,196,198,191,189,146,124,96,67,73,66,57,49,60,49,42,87,71,54,64,81,82,74,65,68,101,141,167,169,167,168,171,128,69,66,50,36,50,40,45,43,41,50,32,68,49,59,85,89,87,85,85,93,97,97,92,90,92,92,79,63,61,54,57,33,42,41,37,39,37,39,33
21,167,170,172,174,176,178,180,183,185,187,186,187,187,188,188,188,189,189,187,188,188,188,189,188,186,186,185,183,168,171,173,176,178,180,183,185,186,188,187,195,201,174,186,192,192,191,190,190,190,190,190,190,189,188,187,186,170,173,176,178,181,183,185,186,188,190,190,206,224,170,164,193,194,193,194,193,193,193,192,192,192,191,190,188,172,175,177,180,183,185,187,189,191,193,194,196,228,193,147,187,197,195,196,195,195,195,194,196,187,180,191,190,173,176,179,182,184,186,189,191,193,195,195,195,215,219,170,171,197,197,198,197,197,197,197,211,175,147,192,193,174,178,181,184,185,188,191,194,195,195,196,196,204,236,202,160,191,200,200,200,200,198,204,218,165,148,194,194,176,180,183,185,187,190,193,195,196,197,198,199,200,234,218,163,175,201,201,200,200,199,217,213,153,166,197,195,178,181,184,186,189,192,194,195,197,199,199,200,199,224,228,177,160,201,202,202,202,206,228,201,148,186,200,199,180,183,186,188,192,194,195,197,199,200,201,202,202,218,227,193,152,195,205,204,203,216,219,180,147,197,201,200,181,185,188,191,193,195,197,199,201,202,203,203,214,239,224,196,140,163,205,205,208,227,209,154,164,204,202,201,183,186,189,192,195,197,199,200,201,203,204,212,220,236,226,198,160,141,187,206,217,227,198,145,191,206,204,202,185,187,190,193,196,199,200,201,202,205,210,238,219,212,234,215,205,188,161,182,205,207,169,155,206,206,205,204,186,188,192,195,198,200,201,202,205,207,217,229,224,204,192,197,227,212,156,133,165,168,138,179,209,207,207,206,187,190,192,195,199,201,202,204,206,206,219,218,191,157,116,126,201,214,168,124,131,135,132,200,210,208,208,207,188,191,193,197,200,202,204,207,208,207,223,212,164,152,129,119,159,225,194,139,113,116,142,210,211,210,209,208,189,192,194,198,200,203,206,208,209,209,228,224,203,177,143,142,147,224,216,158,114,105,157,215,213,212,211,210,190,193,197,200,202,205,207,209,210,211,239,236,198,168,150,162,166,229,233,182,128,103,162,216,213,213,213,213,192,195,198,201,203,206,207,209,212,214,242,225,181,165,167,182,196,245,236,195,145,109,159,217,213,214,213,213,192,194,198,201,204,207,208,210,212,215,241,229,199,188,188,195,222,253,232,194,150,112,158,218,214,214,213,213,191,194,198,201,204,207,208,209,212,213,242,239,211,195,199,209,238,254,229,188,156,115,157,219,215,215,214,214,193,196,199,201,205,207,208,210,213,212,240,246,222,199,205,220,248,251,231,190,155,117,161,219,216,216,215,214,194,198,201,203,206,207,209,212,214,213,237,250,227,209,209,230,252,244,225,186,152,116,165,220,218,217,216,216,195,198,201,203,206,208,211,213,216,217,233,251,233,226,219,234,253,240,217,185,146,113,160,223,220,219,218,218,196,199,201,206,207,210,213,215,217,218,226,249,241,237,232,230,245,228,208,182,140,110,158,224,221,221,220,220,196,199,202,206,208,211,215,216,218,219,220,241,246,242,233,223,229,212,196,177,135,106,164,225,223,222,222,216,186,191,194,198,202,205,208,210,213,214,214,230,249,240,221,203,209,203,186,178,130,101,184,227,225,224,202,156,139,141,144,147,150,151,155,156,156,156,159,178,242,230,203,179,188,201,181,174,122,95,164,182,184,182,134,108,112,113,114,114,113,115,118,117,115,117,106,105,220,213,185,169,181,200,172,165,108,78,98,115,122,122,100,95
15,71,74,77,80,82,87,96,105,113,118,121,124,127,132,135,137,140,142,143,145,146,149,149,149,150,150,151,150,72,75,77,81,83,87,97,106,113,119,122,123,128,132,135,138,141,143,145,147,148,149,150,151,150,152,153,153,73,74,76,81,85,89,99,108,115,121,124,125,129,135,137,141,143,145,146,148,150,151,152,153,154,153,154,154,73,75,77,82,80,85,98,108,115,121,124,126,131,136,138,142,145,146,147,150,152,153,153,154,156,154,155,155,73,75,78,79,107,114,113,113,120,126,125,128,132,137,141,143,144,147,150,152,153,154,155,156,158,158,158,158,73,78,71,114,175,130,123,118,132,140,126,122,124,132,133,142,150,150,152,152,154,156,157,159,159,159,159,159,74,78,71,114,149,97,96,95,126,125,109,109,141,142,121,111,121,139,148,157,159,156,159,160,161,160,161,160,75,76,78,80,93,86,89,85,112,106,91,101,145,144,127,97,111,118,125,122,142,165,158,162,162,161,162,161,75,76,79,82,83,92,101,107,113,109,102,104,135,139,107,100,146,132,130,121,92,135,169,161,164,163,164,163,75,77,79,82,86,93,105,115,124,130,130,130,123,104,87,165,142,141,113,142,123,80,146,169,163,165,166,165,76,76,79,82,84,93,105,114,123,127,135,161,114,88,94,144,137,111,110,143,127,112,76,159,167,165,166,166,74,76,78,82,84,94,105,116,124,126,151,170,138,87,68,70,102,87,130,116,120,128,78,92,175,166,167,167,75,77,79,82,85,95,107,116,125,127,142,172,161,122,104,88,77,90,144,112,120,98,94,59,129,179,167,169,75,77,79,82,85,95,108,116,125,129,152,150,156,143,156,137,91,89,88,95,95,71,63,66,63,159,174,169,75,77,79,82,86,95,106,118,122,144,166,137,135,124,152,131,76,77,80,75,84,70,54,61,52,74,171,172,76,77,80,82,85,96,108,118,124,141,139,107,111,116,136,102,73,78,76,79,86,78,61,60,60,43,106,182,76,77,78,82,85,97,108,117,126,135,147,115,112,89,78,71,64,69,70,71,75,72,72,68,59,57,56,162,76,77,79,82,85,98,109,118,124,141,159,158,136,98,80,98,87,50,72,82,80,77,82,80,65,60,49,106,75,77,79,82,85,98,109,118,127,133,142,158,143,115,108,103,107,55,75,100,93,94,99,91,68,55,59,56,76,77,79,82,86,98,109,119,128,133,138,138,124,103,73,70,100,120,71,99,110,108,101,84,60,57,62,59,76,75,78,81,85,98,110,121,128,133,134,137,121,99,72,57,85,112,79,78,117,114,92,72,58,62,64,63,76,76,78,80,85,97,110,121,128,133,134,140,148,153,154,136,107,129,130,104,101,97,76,68,64,68,67,63,73,74,77,78,84,97,109,119,128,133,134,138,144,147,156,154,84,101,115,124,90,92,82,60,48,47,47,50,72,73,76,77,83,97,109,119,128,132,133,139,145,149,159,132,64,61,43,47,55,57,46,33,26,24,21,16,72,73,75,76,81,96,108,119,128,132,134,140,145,149,162,112,65,68,66,25,29,39,33,28,27,24,19,12,71,72,74,76,81,95,108,119,128,133,135,140,146,150,158,93,64,61,62,55,7,30,35,29,27,24,19,12,69,70,73,74,80,94,107,118,127,133,135,139,145,154,144,69,63,61,56,63,12,10,29,26,19,17,17,9,67,67,71,72,79,93,105,116,126,131,133,138,143,157,117,62,66,58,55,65,15,3,19,20,15,19,21,6
19,129,129,129,131,132,133,134,134,134,135,135,134,134,133,133,133,132,131,130,129,129,129,128,128,127,126,127,126,129,130,131,133,134,134,135,135,135,135,136,135,135,135,134,134,133,133,132,131,131,130,129,129,128,128,128,127,129,131,133,133,134,135,136,136,137,136,136,136,136,135,135,135,134,133,133,133,132,132,131,131,130,129,128,128,130,132,133,135,135,136,137,137,138,139,138,137,137,136,136,136,136,134,134,134,133,134,133,131,130,130,129,128,131,133,133,135,136,137,139,139,140,140,139,140,140,138,137,137,136,135,135,134,135,134,134,132,131,130,130,129,132,134,134,135,137,139,139,140,140,140,140,140,141,141,139,138,137,136,136,135,135,134,134,133,131,132,131,130,133,134,135,137,138,140,141,142,141,141,141,141,140,139,140,142,140,139,137,136,136,136,134,134,133,133,132,131,133,135,138,139,140,141,142,142,142,142,141,142,141,140,135,130,136,139,138,139,139,136,135,135,133,131,133,131,135,136,138,140,141,142,143,143,143,143,142,142,141,144,130,98,106,141,130,131,134,132,129,133,131,86,128,134,137,137,139,140,141,143,143,142,143,140,137,140,139,145,139,134,142,144,134,134,144,137,131,118,89,78,132,135,137,139,140,141,141,143,143,145,148,127,120,126,132,135,128,120,112,118,110,118,131,114,93,86,98,129,137,135,136,139,140,141,142,143,142,143,127,122,131,132,125,126,122,115,86,77,78,82,110,110,122,133,141,138,136,137,139,140,141,142,144,139,147,159,145,146,146,140,132,120,91,73,78,62,59,119,146,143,143,140,139,137,136,137,141,141,142,143,147,138,167,176,156,142,134,130,126,112,84,60,71,63,66,135,144,141,140,139,139,139,139,139,139,141,143,144,147,139,165,168,141,119,97,89,90,98,88,66,72,65,70,139,143,143,141,141,140,139,140,139,140,141,144,145,147,139,152,158,132,91,82,54,50,111,93,71,73,65,80,144,144,143,143,142,142,141,140,140,141,142,144,145,148,137,146,158,130,95,64,42,90,110,88,74,74,64,97,151,144,144,145,144,143,142,141,140,141,142,144,146,149,136,143,162,134,107,83,57,61,61,58,64,65,70,80,148,146,145,144,144,144,142,141,140,143,144,145,146,150,137,142,162,138,113,88,77,53,35,32,40,55,65,63,137,149,146,145,144,144,143,141,140,142,145,147,147,151,135,136,160,135,113,91,80,78,61,52,57,65,71,65,127,152,146,146,145,144,144,143,143,143,145,146,147,150,138,133,157,134,112,92,81,80,69,61,65,71,76,70,131,152,146,147,146,145,145,144,144,143,145,146,149,152,141,131,156,134,109,92,82,81,70,62,66,73,76,76,141,150,147,147,146,146,146,146,144,144,145,147,149,152,144,135,150,128,106,90,80,79,74,68,70,77,77,92,152,150,149,148,147,146,146,145,145,146,147,147,149,152,145,143,153,128,104,91,82,78,78,76,78,84,75,120,155,149,150,149,148,148,147,146,146,146,147,148,151,153,142,145,156,133,110,96,85,78,82,82,84,80,99,150,151,151,151,150,148,148,147,147,146,145,146,147,150,155,138,146,152,134,120,100,84,79,85,84,82,113,149,153,152,151,150,150,148,148,148,147,146,144,146,146,147,149,139,150,144,125,113,98,83,82,83,77,101,152,152,150,151,150,149,149,148,148,147,146,145,144,147,147,148,147,149,157,147,130,112,101,87,80,79,72,114,151,152,151,151,150,149,148,148,148,146,146,145
12,70,74,79,87,100,113,121,127,133,137,139,142,144,146,150,153,156,158,159,160,161,164,165,165,166,166,166,167,71,75,81,87,102,115,122,128,134,138,140,143,145,148,151,154,156,159,160,161,163,165,166,166,167,167,168,168,72,76,82,89,103,115,124,131,135,138,141,144,147,150,152,156,158,161,154,160,165,167,168,168,168,170,170,170,73,78,84,91,106,117,125,131,136,139,143,145,149,160,135,132,162,167,126,119,161,162,166,170,170,172,172,172,73,78,85,93,108,119,126,132,137,141,145,144,170,179,141,112,146,169,132,96,118,128,120,159,173,173,173,173,74,79,86,94,109,121,127,134,139,144,146,147,190,191,153,122,131,170,145,112,90,119,100,117,171,175,175,175,74,80,87,96,111,122,128,135,140,144,147,152,196,206,170,128,126,175,146,114,81,114,110,88,157,177,176,176,75,82,89,98,114,123,130,136,141,144,146,158,182,193,178,128,117,178,145,108,77,112,107,87,159,178,179,178,77,83,90,99,115,124,132,137,141,144,154,162,165,156,157,115,97,151,131,97,77,113,101,95,168,181,180,180,77,83,90,101,116,124,131,137,146,184,194,141,105,104,135,100,80,122,105,85,79,107,94,110,180,181,181,181,78,84,90,103,117,125,132,136,170,210,176,127,100,78,120,108,77,109,106,85,81,104,92,119,183,182,182,182,79,85,91,104,117,125,134,140,187,171,156,134,112,80,103,124,79,106,129,96,93,130,106,123,182,183,183,184,80,85,92,106,119,126,133,147,188,152,139,143,118,90,60,76,55,80,111,92,100,138,110,85,145,186,185,185,80,86,93,108,120,127,132,154,189,154,127,135,112,94,50,43,68,100,106,104,124,116,93,82,107,182,186,186,81,87,94,109,121,127,133,158,200,165,134,114,98,82,48,61,111,149,155,148,140,118,108,96,115,184,187,187,82,87,96,112,122,129,134,164,202,169,144,111,87,86,75,104,153,175,173,158,138,114,103,93,142,188,187,187,83,88,97,113,123,130,135,166,198,174,149,118,105,120,119,157,181,184,174,150,127,110,93,95,168,188,188,188,84,89,97,114,122,131,137,161,191,169,145,122,119,125,129,175,182,182,170,139,118,105,89,119,185,188,189,189,83,89,99,114,122,131,138,154,186,164,144,128,122,119,137,170,175,177,156,128,110,99,92,156,189,188,189,189,83,89,100,116,123,132,139,149,181,162,149,140,129,130,152,168,172,163,140,119,103,92,109,181,190,189,190,190,85,90,101,117,125,134,139,145,171,165,157,152,139,133,150,160,159,142,121,108,97,91,142,189,190,190,192,192,86,91,103,118,126,133,139,143,162,172,157,147,133,122,128,142,140,125,108,99,93,108,176,189,190,191,193,193,86,91,104,117,125,133,139,145,157,179,154,140,126,114,116,123,119,110,99,96,92,147,189,190,191,192,193,193,86,91,105,119,125,134,140,146,153,183,165,139,119,112,118,116,116,109,97,91,111,180,188,190,192,193,193,193,86,92,107,119,126,135,141,147,153,185,179,147,131,128,129,115,115,109,93,84,142,189,190,192,193,194,194,195,87,93,107,119,127,135,141,147,165,195,191,156,144,136,131,113,107,98,88,76,153,191,191,192,194,194,195,195,87,93,108,120,128,136,142,165,190,184,202,166,152,137,127,110,98,89,84,74,156,191,190,193,194,194,196,196,87,94,109,120,128,137,145,193,202,166,180,163,151,134,123,105,90,87,83,77,163,191,191,193,194,195,196,196
5,178,181,185,186,186,188,190,189,190,192,192,191,193,193,193,192,197,195,192,193,192,191,191,190,188,187,188,186,182,185,188,189,189,192,193,194,194,195,197,197,197,198,197,197,167,192,197,195,196,195,194,192,191,190,190,188,186,189,193,194,194,196,197,198,198,199,201,201,198,201,201,216,140,169,208,199,200,199,198,196,196,195,193,192,191,194,197,198,198,200,202,202,202,203,203,203,204,167,181,229,149,145,215,202,204,203,202,201,200,199,197,196,195,197,201,203,203,204,205,206,206,208,208,205,220,164,146,236,146,128,221,206,208,205,205,204,202,202,201,200,198,201,206,207,207,209,210,210,211,211,212,209,227,178,134,230,146,132,224,209,211,209,208,207,206,205,205,203,201,203,208,209,210,213,213,213,208,212,217,213,230,183,122,226,161,139,226,214,215,214,213,211,210,209,209,206,205,207,210,213,213,216,215,222,182,172,225,214,232,196,126,222,150,144,228,217,218,217,221,219,212,212,211,209,208,209,213,216,217,218,216,224,193,137,224,217,236,199,113,214,142,147,232,220,220,217,180,201,221,213,213,213,210,213,217,219,220,220,219,228,217,118,218,223,233,197,103,213,167,148,235,218,224,224,178,150,221,220,217,215,211,215,219,221,221,222,223,227,216,121,216,227,227,214,115,186,182,150,233,215,205,184,215,185,182,222,219,218,215,218,222,223,224,225,226,227,234,134,194,233,221,223,123,145,185,161,230,218,197,93,178,207,150,207,227,221,217,220,225,225,227,227,227,228,240,169,162,236,223,227,127,137,182,159,218,213,183,143,215,184,154,230,225,224,217,222,226,227,228,228,230,229,224,228,185,196,221,211,151,163,168,143,187,198,156,203,233,146,193,235,224,226,220,224,227,231,231,232,231,234,219,235,221,182,186,185,158,159,157,146,189,197,160,223,212,120,214,233,228,227,224,227,228,231,233,234,234,235,230,230,245,206,177,176,148,155,151,150,183,193,176,240,184,105,229,232,230,229,225,228,230,231,233,236,236,236,237,233,255,231,164,160,140,134,145,154,180,188,177,245,178,123,242,232,232,232,226,230,232,233,234,236,237,237,239,236,255,241,170,131,132,125,140,169,190,175,167,239,179,141,246,233,234,234,229,233,234,235,236,236,239,240,240,237,255,237,178,132,131,126,158,183,204,217,181,223,180,147,248,235,235,234,229,233,234,235,237,240,241,241,243,236,253,231,178,135,124,136,173,191,224,237,196,195,156,142,248,237,237,234,232,234,235,237,239,241,241,242,244,236,253,232,188,137,123,145,188,218,224,227,210,163,115,126,248,238,239,238,233,234,236,239,240,241,243,242,246,236,249,233,192,139,126,143,198,232,229,218,186,134,80,157,253,238,241,240,232,234,239,241,241,242,244,245,248,240,241,231,192,141,133,135,209,242,227,196,161,106,105,237,246,241,242,240,234,235,240,241,242,242,244,246,249,236,224,229,192,147,142,133,206,228,203,173,138,89,200,255,244,244,242,241,235,236,239,241,242,242,246,245,251,238,217,220,183,160,148,136,190,207,189,162,102,132,255,246,248,246,244,243,234,236,239,240,241,241,243,244,247,241,214,208,176,166,142,133,180,193,178,125,87,224,254,247,248,247,245,244,233,235,239,240,240,240,242,245,248,240,218,211,181,164,144,121,164,162,134,85,187,255,245,248,248,247,245,244,234,235,239,241,241,241,244,247,251,236,225,212,169,156,147,117,143,128,85,153,255,246,249,248,248,247,245,243
22,56,97,118,118,123,127,129,142,158,169,175,179,182,186,189,193,197,198,199,205,204,204,205,204,204,205,204,203,54,102,118,120,124,128,131,143,159,171,177,180,183,188,191,194,198,199,205,186,198,207,207,208,205,206,204,203,58,108,118,121,125,130,131,145,161,173,178,182,184,189,194,198,198,201,220,140,174,215,201,194,210,207,206,205,61,112,120,122,125,130,133,146,162,173,180,183,188,188,196,200,198,209,221,136,181,220,183,144,211,208,208,207,67,114,120,123,127,131,134,148,163,174,178,199,201,141,197,201,199,221,222,134,190,229,172,146,217,210,209,209,73,116,119,124,128,131,135,149,165,179,180,202,189,120,191,205,199,231,215,137,202,236,166,160,222,212,212,211,79,120,121,125,129,132,137,151,167,179,184,195,197,127,180,210,203,227,199,137,214,236,158,181,221,214,214,213,86,121,122,125,130,132,137,154,167,180,187,191,201,137,163,213,206,219,183,133,222,229,144,195,222,215,216,216,90,121,122,126,131,134,139,156,169,181,188,189,203,153,145,210,210,214,170,138,239,205,133,210,222,219,219,218,95,122,123,127,131,133,139,156,172,182,188,187,204,160,123,197,214,198,162,141,246,182,142,223,220,221,221,220,102,123,123,127,131,133,140,157,172,183,190,187,205,192,133,177,210,182,144,158,245,161,154,228,220,223,223,221,108,123,123,127,131,135,141,159,172,183,189,189,205,220,148,145,192,180,164,214,229,144,170,231,222,224,224,224,114,124,124,126,131,134,142,160,173,184,190,204,177,186,134,134,174,201,232,237,203,133,191,232,223,225,225,225,117,124,124,128,130,134,142,160,173,183,196,215,175,160,138,154,181,218,240,228,188,130,210,230,226,227,227,226,119,123,125,128,132,135,144,160,172,184,194,200,216,217,175,125,151,197,219,219,185,129,219,231,228,227,228,228,122,123,124,127,132,134,144,162,175,185,194,211,228,235,172,131,129,159,184,195,170,128,220,233,230,229,230,229,123,124,125,127,132,135,145,163,176,188,190,229,214,192,181,163,134,134,142,146,154,125,210,236,232,232,231,231,124,124,126,128,133,136,145,163,177,188,191,227,212,180,196,189,162,139,132,122,137,123,200,239,232,234,232,232,126,125,125,128,131,135,145,164,176,188,190,232,227,195,185,197,187,176,150,121,122,120,197,242,234,236,235,234,125,125,124,127,131,135,147,164,177,190,190,232,234,204,188,244,199,189,154,127,126,119,199,243,235,237,237,235,125,124,123,126,131,134,147,165,180,191,192,220,248,198,207,255,205,176,150,134,132,122,206,244,236,238,236,236,125,125,125,127,130,135,148,166,179,191,193,211,241,185,219,251,206,174,151,142,133,126,218,243,238,239,238,238,126,125,125,126,131,137,149,166,178,191,194,203,225,191,214,233,211,187,153,140,135,130,218,242,239,240,240,240,126,126,126,129,131,136,151,166,179,190,196,199,214,211,216,224,205,180,153,137,135,131,218,244,241,242,243,243,125,124,125,128,132,135,151,167,180,191,196,198,208,222,206,208,196,158,145,138,134,124,215,248,242,243,243,243,127,123,123,127,131,134,151,167,180,192,195,198,207,218,195,186,191,150,145,141,132,113,203,250,242,244,243,243,125,123,123,125,129,134,150,166,180,191,194,199,208,209,178,184,208,192,169,144,133,112,176,250,240,243,243,242,123,121,122,125,127,132,148,165,179,189,194,199,206,213,213,220,219,204,189,153,129,115,139,240,240,242,242,241
1,127,130,133,135,136,137,138,138,138,138,140,141,141,141,140,141,141,141,144,142,141,142,143,141,140,140,140,140,132,134,136,139,140,140,140,142,142,142,144,144,143,143,146,145,147,144,132,145,145,145,146,145,144,143,144,143,136,137,141,143,143,144,144,146,146,148,149,148,147,151,125,137,162,155,80,142,152,148,147,148,147,146,145,144,139,141,145,146,146,147,149,149,149,149,151,148,157,172,91,122,171,143,72,145,146,152,151,150,149,148,147,146,143,145,150,150,151,152,153,152,154,154,155,151,170,165,83,132,172,123,80,155,116,113,160,151,153,151,151,150,147,149,153,155,156,156,156,156,157,158,152,120,165,149,83,147,173,106,90,166,121,80,163,155,156,154,153,153,150,152,156,157,158,159,161,161,159,172,151,93,140,138,89,159,180,110,110,176,122,79,162,159,159,158,157,156,153,156,158,159,160,164,165,164,162,180,141,90,136,135,101,162,169,105,123,180,112,84,167,161,161,160,160,159,156,159,161,163,164,167,166,165,165,180,126,94,130,116,93,148,152,94,136,184,111,92,173,165,164,164,162,161,159,161,164,166,167,169,170,167,167,187,128,104,123,118,75,156,150,91,157,180,109,102,180,168,167,167,166,166,161,164,165,168,170,171,172,171,172,187,118,95,126,137,78,170,156,98,170,165,101,115,181,170,172,172,170,169,164,166,168,170,172,173,173,172,177,192,138,88,111,122,70,161,131,103,182,171,98,131,183,171,174,173,172,172,166,169,171,173,174,175,175,173,178,192,132,77,108,105,72,142,107,118,185,163,94,148,185,176,176,175,174,173,168,171,173,176,178,178,179,176,183,193,144,111,135,163,151,163,161,114,137,159,89,163,184,180,179,177,176,175,169,172,174,177,180,179,181,177,192,193,150,123,95,132,174,170,173,141,89,121,89,177,184,181,180,179,179,179,172,174,177,178,179,181,182,179,200,179,136,105,80,75,106,122,181,181,115,59,90,189,183,184,184,182,180,179,172,175,179,180,181,183,183,183,206,180,137,97,87,93,100,125,189,200,161,64,104,197,184,185,185,184,182,182,175,179,180,183,184,186,185,187,208,178,129,102,102,105,136,171,161,192,171,92,116,200,185,188,186,185,186,185,178,180,182,184,185,187,186,191,207,173,133,100,112,111,164,194,175,154,137,101,85,192,188,188,187,186,186,186,179,182,183,184,184,186,187,196,204,175,138,115,118,131,191,195,170,146,108,79,91,196,190,190,190,189,189,188,181,182,185,186,186,189,190,196,203,176,139,126,112,149,204,200,159,131,97,60,109,203,191,192,191,191,191,190,183,185,186,188,189,189,191,194,199,173,145,134,115,146,204,193,148,120,87,58,146,204,193,194,193,193,191,191,183,184,187,189,190,192,191,192,193,174,153,146,119,140,202,170,136,104,74,83,196,197,195,194,194,193,193,193,183,186,188,190,190,191,193,193,191,177,155,149,116,147,192,157,131,92,60,131,207,195,197,195,195,195,197,195,184,187,190,192,192,192,195,194,199,179,158,145,107,149,172,142,119,81,63,177,205,197,198,196,196,197,197,195,185,187,191,193,194,195,194,192,202,184,166,137,112,147,142,122,106,65,96,205,200,200,200,199,199,198,198,197,185,187,188,191,193,195,188,196,201,199,177,139,123,145,130,118,95,63,158,207,200,201,201,202,201,199,199,198,184,187,189,190,191,191,187,197,193,187,172,139,133,132,121,105,69,108,207,201,202,201,202,202,201,200,200,199
12,155,159,162,166,168,170,172,174,176,177,178,178,179,181,180,178,177,181,182,177,178,177,176,177,176,176,175,173,157,160,163,166,168,171,174,176,177,178,179,180,179,173,171,184,181,157,158,183,179,180,180,177,178,177,176,175,157,160,163,167,169,172,174,177,177,179,181,179,190,177,147,158,192,173,129,148,171,145,164,183,178,178,177,177,159,162,165,168,170,173,176,177,179,181,181,181,208,205,183,138,144,202,172,112,124,149,117,173,182,179,179,177,160,163,166,169,172,175,177,178,180,182,178,200,193,196,194,152,100,164,175,120,85,138,120,121,187,180,180,180,162,164,167,170,173,176,178,180,182,182,179,209,167,183,194,141,96,153,162,117,86,116,123,90,178,183,180,180,164,166,169,172,175,178,180,183,182,184,187,149,128,185,175,129,89,160,155,108,90,124,112,94,183,182,182,181,165,168,171,174,176,179,183,181,190,207,189,130,95,138,167,146,81,147,182,125,92,147,118,109,191,181,182,182,167,170,172,176,178,181,180,194,207,200,192,147,96,100,177,142,71,153,191,118,99,179,119,137,193,182,183,182,168,171,174,177,181,181,193,208,172,174,200,152,97,65,138,128,50,97,178,107,90,158,119,175,190,186,185,184,170,173,177,179,183,183,205,201,174,155,185,143,100,62,75,78,74,100,112,125,130,137,94,162,194,185,186,186,172,175,178,181,183,191,197,173,150,120,169,144,103,67,74,79,152,193,159,157,140,130,111,118,196,186,187,186,172,177,180,184,185,187,203,179,157,110,148,145,101,72,84,125,175,186,176,154,130,106,120,101,182,192,187,187,175,179,182,185,185,189,205,183,161,124,126,147,122,78,107,165,184,180,174,157,129,105,102,101,188,192,189,188,177,180,183,187,187,198,208,190,170,145,110,138,138,88,165,191,188,182,179,143,123,105,78,135,201,189,188,187,180,183,186,189,189,204,210,196,177,151,126,119,117,142,195,193,194,192,168,128,117,96,84,184,194,194,197,196,182,185,188,190,190,206,207,199,183,157,147,133,130,171,183,189,197,187,151,121,114,77,128,212,197,182,155,127,184,187,189,192,192,202,203,203,187,165,160,144,138,166,170,192,196,174,137,115,104,78,160,149,109,80,64,62,187,190,191,193,195,195,206,204,189,173,169,153,142,173,167,195,189,156,125,107,95,76,74,59,56,57,59,57,189,192,194,196,199,193,204,199,188,177,174,159,144,172,181,177,170,139,114,101,87,59,56,56,58,55,59,52,191,194,196,198,202,196,199,200,189,178,169,161,152,162,179,161,146,125,107,98,66,45,61,58,48,50,61,56,192,194,197,199,202,195,194,204,189,177,167,157,145,150,167,153,134,117,101,89,57,38,52,65,50,43,53,61,192,195,197,199,204,194,197,202,183,170,164,155,140,149,160,145,119,110,96,71,67,40,39,57,61,44,44,57,194,197,200,202,206,195,199,198,169,159,161,149,138,151,149,134,107,100,62,51,68,54,29,45,59,55,40,46,195,198,201,203,207,193,199,204,168,166,168,156,147,153,138,121,103,83,46,40,59,64,32,33,50,59,48,38,196,200,202,203,210,178,195,206,175,182,179,161,146,149,131,116,97,64,55,36,48,63,44,26,39,56,56,41,201,203,206,206,220,132,177,211,190,200,183,154,147,147,126,112,88,56,53,41,35,55,53,27,31,49,57,49,176,180,184,187,198,102,119,205,191,196,171,144,151,146,122,109,76,62,50,43,29,50,56,32,25,43,55,54
18,199,199,199,200,200,201,202,202,202,201,202,202,201,201,200,199,200,201,201,201,200,199,197,196,195,194,192,191,199,200,201,202,201,201,202,203,203,203,202,202,202,201,201,201,201,202,201,201,200,198,198,198,196,194,194,194,202,202,203,203,203,204,203,203,202,202,203,202,203,203,203,202,202,204,201,202,200,198,198,198,197,195,195,194,203,203,204,204,205,206,205,204,203,203,204,204,204,203,203,204,204,210,197,191,201,201,200,199,198,197,196,195,204,205,206,206,205,206,206,207,205,204,205,205,204,206,205,205,207,225,198,167,188,202,202,201,200,200,198,196,206,207,207,207,207,207,207,208,207,207,208,208,221,219,195,200,226,237,217,179,181,198,197,199,200,199,198,198,207,207,208,207,207,209,209,209,207,210,208,221,242,222,190,175,213,229,233,221,220,208,172,168,197,199,199,200,208,209,209,208,209,209,210,209,216,229,205,216,242,217,192,167,210,213,232,234,233,215,168,131,179,201,201,201,209,210,210,211,210,210,208,217,244,237,200,180,234,213,188,171,219,203,203,229,237,214,160,121,154,202,202,201,209,209,210,210,209,210,211,242,254,240,204,177,234,218,187,172,223,209,178,231,245,215,153,116,143,205,204,203,211,211,211,211,212,210,228,250,252,243,208,175,232,223,189,174,226,207,181,243,249,213,148,111,155,207,204,203,213,214,214,214,213,217,247,237,241,246,214,176,224,218,185,162,203,190,183,246,246,204,142,110,180,208,206,205,214,215,214,215,216,236,248,229,227,230,204,166,194,202,175,134,158,161,201,250,234,189,138,127,202,208,207,206,215,215,215,214,224,251,235,205,204,197,166,134,162,176,144,109,171,207,232,243,220,177,131,163,211,209,208,207,217,217,218,216,229,254,237,204,183,175,145,114,169,172,134,183,237,241,229,217,204,165,131,194,213,210,209,208,217,219,219,216,238,254,238,212,176,162,143,110,177,172,205,251,249,238,213,192,184,148,131,204,212,213,211,210,217,219,220,219,247,253,240,219,194,168,155,142,150,203,251,253,247,230,197,172,160,129,154,215,213,213,212,212,219,220,221,224,253,254,244,227,208,181,168,170,198,249,254,252,241,214,179,157,143,115,178,217,215,214,214,213,221,221,220,228,253,255,249,236,221,196,189,207,242,254,252,247,232,198,165,145,124,136,207,217,216,215,215,214,221,222,220,228,253,255,252,243,231,212,205,224,249,251,244,236,221,186,154,135,115,184,220,218,217,216,216,215,220,221,220,226,253,255,254,247,233,218,212,222,247,244,234,228,199,173,140,119,134,213,220,218,217,217,217,215,221,221,221,225,253,255,254,244,230,216,214,218,237,230,220,216,186,155,124,107,177,220,219,219,217,218,217,218,221,222,221,225,252,253,248,237,222,210,211,216,227,216,208,203,178,135,110,124,210,220,218,219,219,218,217,220,221,223,222,228,252,241,230,225,212,203,204,210,224,208,196,185,155,114,97,171,223,221,220,219,220,218,212,179,220,220,220,231,254,240,231,227,218,214,206,210,227,197,174,156,124,92,126,213,222,221,221,221,222,217,168,116,174,167,160,194,234,233,228,223,222,224,200,203,216,176,148,126,93,101,200,224,223,222,221,214,192,159,120,104,133,130,124,130,137,138,140,142,149,162,154,166,172,144,121,99,77,165,218,224,225,223,190,146,121,106,96,89,144,119,116,119,114,110,104,98,89,86,85,88,88,80,74,70,64,97,122,149,188,186,120,111,110,104,96,87
24,146,147,147,147,147,148,148,148,148,147,147,147,146,145,143,142,141,140,138,137,135,134,133,132,129,127,127,124,149,149,149,150,150,151,150,149,150,150,150,149,149,147,146,146,144,142,141,144,140,137,137,135,133,132,128,127,153,153,154,155,154,154,153,152,153,153,154,153,151,150,149,148,148,147,143,113,135,143,140,138,136,134,131,129,155,155,156,155,156,156,155,156,155,155,156,155,154,153,152,151,150,149,151,82,97,151,140,140,138,137,134,132,158,158,157,158,158,161,162,157,157,157,156,156,156,155,154,154,152,152,157,83,90,153,143,143,140,139,137,135,162,161,161,162,165,137,141,165,159,160,160,160,159,158,156,156,154,157,157,80,95,158,147,146,145,143,140,139,163,163,163,164,163,116,76,160,165,164,164,163,162,161,160,159,155,164,155,73,110,159,148,149,147,144,142,142,165,165,164,164,163,127,67,118,175,164,166,166,165,163,162,162,157,170,150,73,125,160,150,150,148,146,144,142,168,167,167,166,171,147,87,84,178,165,167,168,166,164,164,163,166,170,128,64,142,159,153,152,150,149,147,144,169,169,169,168,172,161,107,60,164,171,168,169,172,170,167,158,161,174,107,60,160,158,156,157,153,152,149,147,170,171,171,170,171,169,135,63,128,181,169,171,147,148,170,138,82,117,101,85,171,158,160,157,154,153,151,149,172,172,172,172,172,173,148,81,82,183,172,156,128,107,121,115,80,59,68,114,173,161,162,159,156,155,154,151,174,175,175,175,174,178,153,105,58,162,172,150,145,119,108,97,122,90,28,140,172,163,163,161,159,158,156,153,176,177,176,176,176,178,164,139,79,114,155,145,153,116,119,118,126,85,38,161,169,165,164,163,161,158,157,155,177,178,178,178,177,178,173,157,94,72,110,119,171,120,82,85,112,105,45,144,176,168,166,164,163,160,159,157,178,179,180,179,180,181,181,160,127,111,94,94,150,126,50,25,132,126,57,91,184,166,168,166,165,164,160,157,180,180,180,181,181,182,182,165,169,124,76,53,128,104,46,20,110,146,103,44,152,174,168,168,167,165,162,160,182,182,183,183,183,182,184,170,161,102,75,56,122,93,38,59,161,161,132,45,102,183,166,169,168,165,162,161,183,184,184,185,186,185,186,178,160,133,124,74,117,116,58,137,173,153,112,40,108,183,167,169,168,166,163,163,184,186,187,186,186,187,188,182,163,159,133,84,100,90,116,185,159,136,97,28,135,182,170,171,170,167,165,163,185,186,186,186,186,186,188,183,155,169,144,115,76,95,175,180,154,124,88,36,158,180,171,172,170,170,168,165,185,185,185,185,186,187,188,185,159,156,147,131,85,105,177,168,146,118,73,44,170,176,172,171,170,169,166,164,186,186,186,187,188,189,188,189,159,146,144,142,106,94,167,167,136,105,55,57,181,174,173,171,169,167,164,161,187,187,188,189,189,190,189,193,166,148,148,144,132,91,153,164,127,88,32,93,190,173,174,172,170,166,167,171,187,188,188,188,187,189,189,191,181,155,153,143,144,79,120,143,96,62,16,138,185,173,174,171,171,179,158,119,193,195,196,196,196,199,198,199,196,160,159,145,129,88,88,112,79,39,34,177,180,177,179,183,169,131,58,19,121,124,130,135,138,142,146,150,153,165,156,135,121,109,79,104,84,21,97,186,172,173,157,110,59,20,13,13,72,73,75,75,72,72,72,67,82,167,162,148,142,119,95,105,70,27,69,84,80,69,45,16,15,20,13,11
14,170,172,171,172,173,174,175,175,175,175,175,174,174,175,176,174,176,175,176,175,175,175,174,174,174,173,172,173,172,173,173,174,175,175,175,175,177,176,175,175,183,174,172,178,177,175,177,176,176,177,176,176,176,174,174,173,173,173,174,175,175,177,178,180,177,177,187,188,181,141,140,187,178,178,178,178,178,178,178,178,178,176,175,175,173,174,176,177,177,177,178,177,178,201,193,162,135,120,110,156,175,174,178,178,179,179,178,177,177,177,177,175,175,176,177,178,179,179,176,183,207,203,148,113,111,105,115,142,164,134,143,183,179,180,179,179,178,178,178,178,175,176,178,179,179,177,184,216,203,166,123,103,115,100,107,130,142,113,147,186,179,182,182,180,180,180,180,179,177,178,180,180,180,175,208,217,165,120,101,102,107,96,100,104,119,108,154,185,184,183,184,183,182,181,180,179,178,180,180,181,181,179,217,212,146,96,84,87,97,113,122,105,130,155,149,138,169,186,183,184,184,182,181,181,179,180,180,183,181,189,221,203,144,104,92,95,89,100,106,91,101,137,143,109,168,190,183,186,185,183,183,182,179,180,182,184,180,198,221,186,125,96,100,110,88,96,103,110,111,116,109,106,168,183,187,186,185,184,184,184,183,183,183,186,180,207,221,191,137,99,101,111,98,106,117,124,117,105,125,131,133,127,180,190,186,186,186,185,183,184,186,186,183,216,221,199,155,119,101,97,108,111,91,103,110,138,138,130,126,137,150,183,190,188,187,186,184,186,187,184,191,221,220,197,153,124,108,94,116,110,131,167,182,195,189,175,155,174,141,178,193,189,189,188,184,185,187,185,197,221,221,198,153,121,111,99,110,100,178,200,191,189,192,184,162,170,139,185,192,189,189,188,185,186,189,186,200,221,221,204,164,128,106,106,96,130,198,189,191,191,195,172,158,167,136,188,192,190,189,189,186,187,190,186,202,221,221,206,170,135,106,101,101,185,196,192,193,192,198,169,158,169,128,177,196,191,190,191,186,189,191,187,204,221,221,209,173,138,112,91,123,200,191,194,195,193,201,160,144,163,132,151,200,191,193,192,188,189,193,187,205,221,221,209,177,143,119,86,155,209,193,197,194,199,177,152,160,159,136,142,201,192,193,194,189,192,192,187,207,221,221,210,179,143,125,91,125,179,190,189,199,186,139,155,164,154,127,175,199,193,194,193,190,191,192,189,209,221,221,211,176,146,131,107,88,102,118,122,146,141,141,155,158,138,155,203,195,195,194,194,191,191,195,191,213,221,221,209,175,157,143,116,99,108,111,125,132,134,141,152,143,136,195,199,196,196,196,195,191,193,195,192,216,221,221,208,180,170,151,127,103,116,127,135,140,142,136,140,127,179,203,197,198,197,197,196,193,195,196,193,217,221,221,211,189,177,152,130,113,119,132,136,139,140,137,117,151,206,198,200,199,198,198,198,194,196,196,196,219,221,221,214,200,179,153,131,119,116,131,135,135,137,128,129,197,201,200,200,199,199,200,200,195,196,197,199,221,221,221,216,203,178,149,127,120,115,128,133,131,130,126,191,203,199,201,201,200,199,199,200,194,196,195,200,221,220,220,216,200,168,131,115,114,115,127,127,134,117,170,209,200,202,201,201,201,200,200,200,197,200,200,213,221,221,221,210,185,141,105,106,106,112,119,125,122,142,206,202,203,203,203,202,201,201,201,201,186,174,158,161,160,145,140,124,111,97,84,82,91,107,114,115,132,198,204,203,205,203,205,204,202,203,202,201
18,162,163,165,167,169,173,177,179,182,184,187,188,189,192,193,194,196,196,197,198,198,198,199,199,198,198,198,198,162,164,166,168,170,174,177,180,184,186,187,189,190,192,193,194,197,197,198,199,200,200,201,199,199,199,198,199,163,165,167,167,170,175,179,182,185,187,188,191,192,194,194,197,198,198,199,199,201,200,200,203,201,201,199,199,162,166,167,168,171,175,180,184,186,187,189,191,193,194,196,197,198,198,198,200,200,202,200,164,202,200,201,201,164,166,168,170,173,174,180,184,187,188,190,192,194,196,198,198,198,198,200,201,198,216,204,128,151,214,205,200,166,168,169,170,174,177,182,185,187,190,192,194,195,197,198,198,198,200,202,208,191,209,208,152,122,160,191,207,166,168,170,171,175,179,183,186,188,191,193,194,196,199,201,199,204,183,159,182,188,183,220,189,158,123,119,159,166,169,170,172,176,180,183,186,189,190,192,194,196,197,183,203,215,176,162,119,168,184,219,201,166,157,154,121,167,169,171,172,175,180,184,186,191,192,194,191,204,205,165,139,199,187,173,126,146,184,193,198,183,168,155,137,168,170,172,173,177,180,185,188,191,194,193,197,219,207,189,128,172,205,167,135,114,176,150,147,182,178,155,144,168,170,172,175,178,181,185,189,192,195,192,222,232,212,193,148,144,206,169,141,99,143,136,102,206,200,169,149,169,173,173,175,180,183,186,190,194,195,198,221,230,219,192,158,121,194,163,132,90,99,116,102,196,212,178,147,169,173,173,176,180,183,187,191,195,191,209,234,219,202,195,154,110,156,140,117,94,78,88,78,188,208,185,148,170,172,174,177,181,184,188,192,195,195,228,227,212,179,160,129,105,130,124,115,78,74,135,126,203,214,176,148,171,174,174,177,181,185,189,193,190,211,236,202,194,175,117,110,105,126,135,106,104,188,211,177,174,195,160,141,173,174,175,178,182,187,190,194,192,207,248,225,186,152,126,129,102,152,163,150,212,217,200,183,141,173,149,138,173,174,175,178,183,188,191,195,195,205,246,230,201,153,146,145,103,159,187,219,222,199,178,184,145,148,153,135,173,175,176,180,184,188,193,196,194,213,247,231,209,183,167,168,143,155,232,226,204,186,170,177,171,135,149,124,174,176,176,180,184,188,193,198,194,220,246,226,193,183,162,150,170,232,229,209,194,185,180,176,175,140,131,115,175,176,177,180,185,189,193,197,195,224,245,218,195,184,163,160,205,237,222,201,196,194,171,173,167,136,114,98,175,177,178,181,187,191,194,197,195,227,239,218,195,199,167,196,210,223,214,193,196,180,156,172,156,125,107,80,176,178,179,183,187,191,194,198,197,227,235,221,212,202,173,186,205,202,202,184,184,166,160,169,137,116,86,127,176,178,179,182,187,191,195,199,198,224,232,218,218,192,169,163,190,188,189,181,175,161,160,140,118,98,96,208,176,177,179,183,187,193,196,199,198,223,233,223,216,182,148,170,179,186,188,179,171,155,139,112,105,80,175,226,176,178,179,185,188,192,195,200,200,219,228,223,194,158,151,177,177,189,189,179,159,146,124,112,85,127,228,216,178,178,179,183,188,193,195,200,200,221,217,207,193,185,183,180,176,193,185,167,143,134,120,97,88,207,223,217,178,178,180,184,188,196,202,199,204,234,229,223,220,209,195,178,169,189,177,156,135,121,108,86,185,227,217,220,178,179,182,185,193,176,165,194,211,236,228,229,218,204,184,178,167,180,169,149,130,116,88,153,234,218,221,221
22,139,143,146,149,151,153,156,158,160,160,162,163,163,163,163,162,162,163,163,162,162,162,161,160,158,157,156,156,142,145,148,151,153,155,157,160,162,162,162,164,165,166,169,158,149,163,165,164,164,164,163,162,160,159,158,158,145,148,151,153,156,158,160,162,166,169,148,157,168,169,179,151,127,161,167,166,164,164,165,164,163,162,161,160,146,150,153,156,159,160,162,164,172,175,131,145,170,173,182,148,124,162,169,166,152,152,165,165,165,164,164,163,148,152,155,159,161,163,165,167,174,176,130,139,171,174,178,144,128,165,172,168,136,131,165,168,167,166,166,165,150,153,157,161,163,165,167,169,174,179,138,136,172,176,175,146,134,169,177,172,131,130,167,171,170,168,168,167,152,155,159,163,165,167,169,172,175,185,151,135,171,178,177,151,137,172,182,174,130,139,171,173,172,170,170,170,155,158,162,165,168,170,172,174,177,190,163,134,167,179,175,148,137,174,188,173,128,151,175,175,174,173,172,172,157,160,164,167,169,172,174,176,179,192,168,129,159,179,174,145,137,178,192,168,128,161,178,177,176,175,174,173,158,162,166,168,171,174,176,178,180,195,181,133,150,181,180,144,140,185,191,153,127,169,180,179,178,177,176,175,160,163,167,170,173,176,178,181,183,192,182,138,146,180,179,140,148,194,190,138,135,177,182,181,180,179,178,177,161,165,169,172,174,177,180,185,195,189,177,153,149,164,168,144,163,197,178,127,151,183,184,183,182,181,180,179,162,166,170,173,176,179,181,192,207,186,181,190,176,148,141,163,179,185,155,123,166,186,186,185,184,183,182,181,164,167,171,175,179,181,183,194,204,174,150,185,192,155,119,139,157,158,130,128,178,188,187,186,185,185,184,183,166,170,174,177,181,183,186,198,200,174,125,130,175,175,135,107,114,120,106,140,185,189,189,187,186,186,185,184,168,172,175,179,183,185,188,205,200,166,122,98,138,186,168,121,95,90,95,154,190,191,189,188,187,187,186,186,170,174,177,181,184,187,191,209,194,156,126,118,136,188,193,151,112,87,94,164,193,192,191,190,189,188,187,187,171,175,179,182,186,188,193,213,199,161,142,147,165,206,199,164,128,89,98,173,195,194,193,192,191,189,188,188,172,177,181,184,187,190,196,215,199,163,151,166,196,218,192,155,122,85,105,181,196,196,195,193,192,191,190,189,173,178,182,186,189,192,198,216,203,175,164,174,210,214,181,140,110,85,124,190,198,197,196,195,194,193,191,190,175,179,184,187,190,193,199,215,207,185,174,178,213,203,167,129,101,86,142,196,199,199,198,197,196,194,193,191,176,180,184,188,192,194,198,213,208,192,182,182,206,188,154,120,94,86,152,199,201,200,200,198,197,195,194,194,177,181,185,189,192,195,198,209,210,199,190,183,198,174,143,112,87,88,161,201,202,202,201,200,199,197,196,196,178,182,186,190,193,197,199,205,210,201,191,181,192,165,135,106,85,96,172,203,203,203,202,201,200,199,198,197,179,183,187,191,195,198,200,204,209,196,180,169,180,157,135,108,85,115,188,205,205,204,203,202,201,200,199,198,180,184,188,193,196,199,201,205,211,192,170,167,176,150,138,109,88,145,201,207,207,206,205,203,202,201,201,199,180,185,189,194,197,200,201,207,220,204,185,181,177,146,138,100,100,176,207,208,207,206,206,206,204,202,201,200,180,184,189,193,197,200,201,208,223,214,199,191,175,143,131,92,117,193,209,209,207,207,207,206,205,203,202,201
13,195,197,198,199,199,201,201,201,200,200,200,201,201,200,199,198,198,197,196,195,194,193,192,191,190,190,190,188,197,198,199,200,201,203,204,205,203,202,202,202,202,201,201,199,198,198,197,198,196,195,194,192,191,191,190,190,199,200,202,202,204,205,205,206,206,204,203,203,203,202,203,201,200,199,199,200,198,197,196,194,193,193,192,191,200,203,204,204,205,206,205,206,205,205,206,204,204,205,205,203,203,206,203,200,199,197,198,197,196,196,193,193,202,204,204,205,206,207,207,207,206,205,207,206,206,206,204,203,187,176,201,202,199,207,200,198,198,198,197,194,203,206,208,207,208,208,210,209,209,212,210,209,204,205,209,202,160,104,122,198,165,157,198,202,198,199,199,196,205,206,208,208,210,212,210,215,201,177,209,215,178,152,201,190,154,110,81,151,147,94,127,207,200,199,199,197,206,207,210,212,212,211,216,226,202,134,150,208,174,126,180,198,149,121,80,136,141,115,85,177,208,199,199,199,208,210,213,213,214,210,242,232,202,146,146,202,165,133,198,226,163,121,92,167,153,125,72,166,212,201,201,200,210,212,213,213,214,214,250,236,206,147,159,208,160,127,229,231,157,110,131,203,150,108,76,180,210,203,202,202,211,213,215,215,212,237,248,221,209,140,152,203,166,112,169,200,127,100,113,143,109,80,86,199,208,205,205,204,212,214,217,214,225,247,220,192,164,111,148,198,157,115,65,97,127,120,109,108,114,83,117,216,206,207,207,205,214,215,216,213,242,245,205,158,123,92,142,162,136,91,43,59,107,104,128,151,152,118,133,220,207,209,208,206,215,216,217,217,255,254,230,185,148,87,120,134,110,109,138,179,183,174,177,162,171,150,109,204,213,211,210,208,215,218,217,228,255,249,232,218,189,128,125,168,186,219,226,216,207,196,187,149,137,133,99,171,222,212,212,210,219,220,217,234,255,248,236,223,192,177,182,217,232,223,215,207,200,185,172,151,127,131,104,144,225,212,213,211,220,221,217,238,255,248,237,223,199,198,210,223,232,219,213,207,198,181,162,151,134,126,103,125,225,213,214,212,220,220,218,239,255,246,237,220,203,200,210,220,233,221,213,207,188,167,155,142,123,118,84,152,225,213,213,213,221,221,218,233,254,244,233,212,193,191,204,214,218,215,209,194,172,158,144,126,113,80,122,222,216,216,215,214,219,225,233,231,241,234,213,191,183,198,205,208,200,203,198,181,166,147,126,110,79,89,211,222,218,217,216,215,229,202,153,217,231,218,207,198,192,204,210,200,189,182,175,157,138,119,100,72,95,201,225,218,219,218,217,215,229,146,70,123,236,231,227,223,202,191,205,191,166,151,154,135,114,86,92,150,217,226,221,221,219,220,218,216,174,102,110,89,137,224,232,223,201,178,188,173,143,133,131,105,75,123,213,234,224,221,224,221,221,220,219,218,119,99,100,102,86,119,175,173,169,166,181,155,129,119,101,75,161,232,229,223,225,225,223,223,222,221,220,219,109,100,94,95,104,55,64,82,82,85,101,102,98,91,69,169,244,227,225,227,226,226,224,224,224,222,220,219,102,94,93,90,101,80,40,72,71,63,57,56,56,59,57,186,231,230,228,228,227,225,224,225,225,222,222,220,98,95,90,86,96,88,33,57,67,59,59,56,54,49,28,72,233,229,227,228,227,225,225,225,224,222,221,219,97,92,90,79,91,83,30,48,60,56,57,52,54,46,25,166,239,225,228,227,226,225,224,224,223,221,220,219
7,121,123,125,127,130,131,134,134,136,138,139,140,142,143,143,144,144,144,146,146,146,146,146,146,147,147,145,145,121,125,127,128,130,132,134,135,138,139,140,141,143,142,143,145,145,145,146,146,147,147,147,147,147,148,146,146,124,126,127,129,132,133,134,136,139,139,140,142,143,144,144,145,145,147,147,147,147,147,147,147,147,147,146,146,125,126,128,131,134,134,136,138,139,140,142,141,143,145,145,145,145,147,147,148,148,148,148,148,148,149,148,147,125,127,130,133,134,136,139,140,140,141,143,144,145,145,145,147,147,147,148,149,149,149,149,149,149,149,149,147,126,128,131,134,135,137,139,141,143,144,147,147,146,146,148,148,150,150,150,149,150,151,150,148,151,151,149,148,126,128,131,133,136,138,139,142,144,145,148,148,147,150,151,146,140,142,147,146,143,137,135,157,127,145,154,149,127,130,132,134,136,140,141,143,145,145,148,149,148,145,136,129,126,115,118,124,128,119,115,133,96,137,148,145,131,132,133,135,138,140,140,143,143,141,143,144,149,141,133,133,130,110,116,116,122,118,115,112,104,129,132,109,131,132,135,137,139,141,142,147,127,121,130,138,143,136,130,125,113,110,105,96,100,102,96,94,92,91,92,119,131,133,136,138,140,139,155,145,113,118,124,118,108,98,98,96,88,83,85,96,97,97,101,107,113,123,136,156,132,132,136,140,138,156,161,143,131,114,105,91,78,66,75,100,103,124,150,156,155,154,157,161,161,162,159,155,132,135,138,137,154,167,154,155,145,105,96,99,102,101,96,105,128,162,161,158,159,160,159,157,156,155,158,158,134,137,135,149,167,157,156,152,132,110,102,93,98,104,97,80,66,97,163,158,160,160,159,158,159,159,159,159,135,134,145,162,160,155,150,136,124,115,104,79,72,89,95,92,83,74,158,162,160,161,161,161,160,159,160,160,130,141,163,161,150,141,136,129,123,116,103,81,66,67,71,73,77,81,161,162,162,161,162,161,161,160,161,160,139,161,159,153,145,136,132,131,129,124,109,86,80,83,68,51,53,82,168,162,162,162,162,161,161,161,161,160,160,156,146,146,143,135,134,129,125,121,111,96,89,87,82,75,65,70,148,168,162,163,164,163,163,163,162,160,153,148,146,142,135,133,127,120,123,120,103,89,84,82,85,80,75,46,56,141,169,162,165,164,165,164,163,161,149,146,139,138,135,131,118,120,125,108,87,74,59,48,69,77,75,53,53,117,174,163,165,164,165,165,163,163,146,143,135,133,125,121,128,123,104,87,76,52,43,41,35,71,76,60,103,160,166,165,165,166,165,166,164,165,143,140,132,121,125,128,124,106,89,79,65,48,53,49,49,67,71,140,172,168,166,166,166,166,166,166,166,166,133,130,118,123,127,118,103,90,82,66,69,87,100,108,67,82,147,171,165,167,167,167,168,166,167,166,166,166,112,112,110,110,105,96,89,77,66,83,142,166,169,174,149,154,173,166,168,169,169,168,169,167,166,166,166,166,99,93,88,87,87,77,72,80,117,158,167,163,164,164,170,170,167,169,169,169,169,169,169,168,167,167,166,166,95,80,73,69,59,74,126,153,166,160,161,164,165,166,165,168,170,170,170,170,170,170,169,167,168,168,167,167,93,75,62,58,105,146,164,159,159,160,164,167,166,167,169,169,170,171,170,170,170,171,171,170,170,168,168,168,95,77,59,65,156,159,155,159,162,162,164,167,167,168,170,170,171,172,172,171,171,171,171,171,171,170,170,169
21,151,155,158,161,163,164,165,166,168,169,169,169,170,168,168,168,168,166,165,164,163,162,162,161,159,159,158,156,152,156,159,162,164,165,167,168,170,170,171,171,171,171,170,168,160,165,166,166,165,164,164,163,161,160,159,159,154,157,160,163,165,166,168,170,172,172,173,172,173,172,174,173,120,140,169,168,166,166,166,164,163,161,161,160,156,158,162,164,166,167,169,171,174,174,174,174,174,173,178,172,107,133,171,170,169,167,167,167,165,162,162,162,157,160,163,166,167,168,171,173,175,175,175,175,175,174,183,165,108,140,173,171,170,166,161,166,167,165,164,164,158,161,164,166,169,171,172,174,175,176,176,177,178,176,188,162,109,147,175,171,169,153,119,146,170,167,167,166,159,162,165,167,171,172,173,174,176,177,179,179,179,179,191,160,112,156,175,173,166,140,99,139,170,169,168,166,160,164,167,169,172,173,174,176,178,179,181,180,180,181,191,155,110,161,176,173,161,136,103,157,170,169,168,167,161,164,167,170,172,174,176,178,179,180,180,180,179,184,190,151,106,161,178,172,157,125,116,169,171,170,169,169,162,166,169,172,173,175,177,179,179,180,181,181,179,191,190,144,105,166,176,165,152,113,141,175,172,172,171,170,164,168,170,173,174,176,178,180,181,181,179,175,177,196,184,135,114,176,170,159,138,108,162,176,174,173,172,171,164,168,171,174,175,178,180,181,181,185,177,141,137,175,157,115,118,178,167,158,118,121,176,177,175,175,174,173,165,168,172,174,176,179,181,181,182,185,180,145,115,112,104,91,127,174,168,146,106,153,180,177,176,175,174,173,166,169,172,175,178,180,181,182,185,191,183,177,150,120,86,84,124,152,153,122,114,174,180,178,177,176,175,174,166,170,174,176,179,181,183,184,191,196,193,204,182,138,93,85,100,114,119,101,142,182,180,179,178,178,177,176,167,171,174,177,180,181,184,187,187,165,180,187,174,130,95,85,89,95,95,103,169,183,182,181,180,178,179,178,167,171,175,178,181,182,184,194,175,141,162,138,160,141,106,87,80,86,86,127,184,184,183,183,181,179,179,179,169,173,176,179,182,184,185,198,182,149,121,93,143,158,120,91,79,81,86,153,187,186,184,183,182,182,181,180,171,174,177,180,182,184,187,197,166,131,109,91,128,170,135,103,86,82,88,165,188,187,186,184,183,183,182,180,170,174,178,181,183,184,194,199,164,147,133,118,166,182,147,124,96,86,87,167,191,189,188,186,184,183,183,182,170,175,178,181,183,184,200,198,172,156,134,159,207,184,148,133,103,91,94,170,192,189,189,188,185,184,184,183,171,176,179,181,184,186,204,206,184,149,147,204,204,170,140,131,107,95,103,178,190,190,189,189,187,186,185,183,171,176,179,181,185,187,208,213,177,152,160,213,194,166,136,121,109,96,114,185,190,190,189,189,188,187,185,183,172,176,180,183,186,187,207,200,167,165,165,211,191,167,145,111,102,95,130,191,192,192,191,190,188,187,186,185,171,175,179,181,184,187,200,186,182,174,166,209,186,159,141,111,100,96,149,193,192,192,190,190,189,188,186,185,171,174,176,180,183,185,192,193,202,174,173,200,172,145,125,108,101,101,164,193,192,190,189,188,187,186,186,183,171,175,177,181,184,187,189,197,195,165,161,182,158,131,111,103,98,109,177,194,192,191,190,188,188,187,186,184,172,175,178,181,184,188,189,193,181,160,151,167,153,127,113,102,95,118,187,194,193,192,191,189,189,188,187,185
18,137,139,141,143,146,148,150,151,153,155,156,158,158,158,158,159,158,159,159,161,161,162,163,163,163,163,163,163,139,141,143,145,148,150,152,154,156,157,159,160,160,160,161,161,160,161,162,163,164,164,165,165,165,165,165,165,141,143,146,148,150,152,155,157,159,160,161,162,163,163,163,164,164,164,165,165,166,166,167,167,167,168,167,167,144,145,148,150,153,155,157,159,161,163,164,165,165,166,166,166,166,166,167,167,168,168,169,168,169,170,170,170,146,147,150,152,155,157,159,161,163,165,166,167,167,168,169,169,168,169,168,169,170,170,169,166,168,172,172,173,147,148,151,155,157,158,161,164,166,167,167,169,170,170,171,171,171,169,158,155,166,170,152,134,144,165,174,175,150,151,154,157,159,161,163,166,167,168,169,171,172,172,172,172,173,168,149,143,161,168,142,106,106,136,172,176,152,153,156,159,161,163,166,168,170,171,172,173,174,175,173,171,169,162,156,157,166,163,154,116,88,101,159,178,154,156,158,161,163,166,168,171,172,173,174,175,175,178,175,157,150,147,154,155,149,149,167,133,90,78,141,180,156,158,160,163,165,168,170,173,174,175,176,176,170,180,177,142,121,124,137,129,113,148,181,147,103,76,130,180,157,159,162,164,167,170,172,174,175,176,179,178,147,146,166,143,117,112,130,105,92,164,190,159,118,83,129,181,159,161,163,166,168,172,174,176,177,179,189,186,137,116,155,156,133,117,148,119,98,172,198,174,132,91,129,182,159,162,165,167,170,174,176,178,180,185,187,187,150,119,143,164,142,114,133,134,124,171,198,179,138,95,109,172,161,163,167,169,172,175,177,179,186,187,169,183,168,131,126,158,145,114,104,137,170,187,184,164,133,100,89,150,162,165,168,171,173,176,179,181,191,187,161,174,172,136,111,139,144,128,141,171,186,185,166,148,130,106,86,138,164,166,170,172,175,178,181,186,192,176,147,151,151,120,90,108,132,156,186,188,178,170,152,136,124,101,94,153,165,168,172,174,177,179,181,187,196,176,144,132,116,90,66,76,136,187,197,185,170,157,141,121,107,88,115,176,168,170,173,176,178,181,183,187,197,183,157,130,95,79,62,92,173,198,192,179,165,150,126,104,87,85,147,190,170,172,174,177,180,183,184,189,199,190,168,138,114,116,106,152,197,199,189,173,159,139,110,89,77,102,176,195,170,172,176,178,181,183,185,192,202,196,167,145,150,146,152,195,204,197,182,165,148,123,96,80,77,129,190,197,172,174,177,180,182,184,186,196,203,197,166,156,163,151,180,210,207,191,173,156,135,106,84,75,90,161,196,198,173,176,178,181,184,186,187,195,204,196,168,164,163,151,195,211,204,183,162,141,117,91,76,76,124,186,198,198,174,177,179,182,185,187,189,190,197,196,175,171,161,158,201,208,194,171,151,127,101,81,72,93,166,198,199,200,175,178,180,183,186,188,191,189,190,191,180,178,166,170,193,195,179,157,138,115,92,78,75,129,191,200,200,200,176,179,182,185,186,189,192,190,185,189,184,183,172,168,177,180,167,147,127,106,87,76,98,171,200,202,201,201,177,180,183,186,188,190,192,191,184,190,184,177,165,156,166,173,163,140,116,97,81,81,140,194,203,203,203,203,178,181,183,186,189,191,193,192,184,182,169,160,153,151,163,169,158,133,106,88,75,102,177,202,204,204,205,205,178,181,183,187,190,192,194,194,185,174,158,155,155,164,171,168,154,128,102,84,75,128,193,204,204,205,205,206
11,170,172,176,178,180,181,183,185,186,187,186,187,187,187,186,187,187,187,186,185,185,183,181,181,180,179,176,175,172,175,177,179,181,183,185,186,187,188,188,188,187,189,190,188,187,187,187,186,186,184,182,182,181,180,178,177,174,177,180,181,184,185,187,188,189,190,190,190,191,183,176,191,188,188,187,186,186,185,184,183,182,181,179,180,177,179,181,184,186,188,190,191,192,192,192,191,195,198,140,192,191,189,190,189,187,187,186,184,183,181,185,166,179,182,184,185,188,191,192,192,193,193,194,191,200,208,132,186,195,191,192,191,190,189,187,186,185,184,185,128,179,183,186,188,191,192,193,194,195,195,197,191,209,206,123,187,197,194,192,192,192,191,190,188,186,190,173,103,182,185,186,190,193,194,196,196,198,200,197,195,228,201,125,195,197,195,195,194,193,193,192,191,190,194,162,93,184,187,190,192,194,196,198,198,198,191,209,187,225,192,134,203,198,198,198,197,195,195,194,193,192,195,171,111,186,190,192,194,196,199,195,221,205,147,192,172,138,176,137,186,203,199,199,199,198,197,196,196,194,193,188,125,188,191,193,196,199,195,218,235,221,184,135,159,126,148,134,162,209,200,201,201,200,199,198,198,197,195,196,142,190,192,195,199,197,208,246,199,206,205,145,134,131,159,138,169,211,202,203,203,202,201,201,199,198,196,199,177,192,194,197,199,201,238,226,170,168,202,137,129,125,158,137,174,213,205,206,205,204,203,202,201,200,199,198,194,192,196,199,196,221,244,196,163,182,181,114,135,124,150,131,184,213,207,208,208,206,205,204,203,202,201,200,198,194,197,201,197,231,235,185,143,154,159,116,133,124,147,127,201,212,208,209,208,207,206,204,203,203,202,201,200,195,198,201,198,235,237,197,158,120,121,142,117,133,144,131,214,211,210,209,208,208,207,206,206,205,203,203,201,196,200,202,201,243,236,190,148,120,109,148,115,157,150,110,185,221,211,213,214,209,204,201,199,205,209,204,203,198,201,204,205,251,233,190,156,127,111,120,108,150,138,103,123,201,212,202,187,176,169,166,157,149,180,209,203,198,202,203,211,252,231,194,164,136,120,122,127,141,142,139,138,143,158,162,173,179,167,147,140,126,140,211,205,199,204,204,213,250,228,194,166,141,125,127,160,182,182,173,163,149,151,166,166,149,135,149,185,196,200,208,206,201,205,206,212,249,230,201,173,148,130,140,180,178,168,164,158,147,139,134,138,166,190,213,218,215,213,209,207,202,206,206,217,248,232,207,174,158,138,151,174,173,164,151,148,128,121,162,210,221,219,215,212,213,212,210,207,203,209,204,228,251,233,204,172,157,142,149,160,164,157,140,124,142,196,223,221,217,214,215,214,214,213,211,209,205,208,207,245,244,219,191,164,148,142,150,147,153,147,122,165,223,226,218,219,218,217,217,216,215,215,213,211,206,205,237,251,233,211,182,159,145,146,148,139,135,130,179,230,224,221,220,219,219,218,218,216,215,215,214,212,204,212,252,242,222,204,178,163,152,144,140,124,152,211,231,224,223,223,221,220,220,219,218,217,216,215,214,213,202,223,251,237,202,178,172,162,145,138,120,142,223,230,223,225,224,224,223,222,221,220,219,219,218,216,215,213,203,235,250,230,185,161,156,150,137,126,127,210,230,225,227,226,226,224,224,222,222,221,219,220,219,216,215,214,212,246,246,219,167,155,151,143,130,117,185,233,226,229,229,227,227,225,224,223,222,222,221,221,220,218,216,216
7,135,136,137,137,136,136,136,136,136,136,136,136,137,136,135,134,134,134,124,36,18,42,57,60,81,103,116,137,137,139,140,139,139,139,139,139,140,139,140,138,138,138,137,137,136,140,103,26,35,59,53,55,79,99,120,138,142,142,142,142,143,143,143,143,144,143,143,143,142,142,140,140,137,144,79,23,41,50,54,49,74,105,126,140,144,144,145,144,145,145,145,144,146,145,144,141,140,142,138,137,134,139,111,82,97,52,46,65,82,116,133,134,147,148,148,148,148,148,147,148,148,147,149,139,125,139,147,139,125,127,118,136,170,87,39,64,91,129,134,126,150,150,151,151,153,152,149,151,158,164,159,145,133,141,141,137,127,122,117,112,145,92,55,78,109,139,135,125,154,154,153,153,152,154,161,169,172,169,161,146,146,142,112,119,139,131,131,120,119,103,101,139,125,140,143,130,158,156,158,157,151,158,166,166,163,157,155,156,150,139,119,126,143,132,130,124,103,97,85,114,109,138,148,144,159,157,176,172,161,160,162,159,160,160,157,157,150,131,127,118,106,93,87,85,74,70,77,78,84,136,147,152,159,163,186,173,156,152,159,162,161,158,152,143,132,115,102,92,89,93,105,104,83,141,135,114,86,136,144,153,162,169,183,170,142,139,149,151,149,135,111,96,76,71,102,147,157,155,167,141,109,178,115,144,96,130,142,148,163,173,178,160,135,140,141,125,106,84,92,119,88,90,97,78,152,163,160,153,138,101,93,167,98,115,141,138,164,175,175,159,160,156,141,129,121,129,134,130,123,119,129,65,92,173,158,161,158,106,146,173,104,92,138,132,169,178,178,180,186,164,131,134,139,138,131,119,116,115,109,64,88,174,161,162,159,154,139,157,131,85,129,134,171,179,180,187,186,159,123,124,121,114,114,109,104,98,79,72,160,168,164,164,161,160,169,157,145,128,132,136,173,179,183,185,169,148,134,124,102,82,89,102,98,95,82,90,174,167,166,165,166,163,141,106,112,138,134,136,179,183,182,176,160,152,153,156,127,102,114,128,121,106,102,90,137,177,168,166,167,172,139,102,124,132,132,137,183,186,179,168,160,151,163,163,126,102,110,112,103,92,92,70,135,177,168,169,169,171,164,128,144,126,131,137,182,184,177,169,160,161,175,156,121,102,103,101,97,91,74,87,170,173,172,171,169,168,169,144,136,129,122,133,180,183,176,166,165,170,164,139,110,94,84,78,69,56,73,156,179,172,172,171,170,170,171,154,138,135,119,124,178,177,170,163,165,156,140,122,108,99,77,55,67,106,159,182,174,174,172,172,171,171,173,160,140,145,127,109,172,171,165,162,162,147,133,126,114,97,104,149,168,185,181,178,176,175,174,175,174,172,175,162,138,149,143,121,167,165,164,159,156,148,139,127,95,75,168,190,180,178,177,177,177,177,176,177,175,172,174,161,135,146,145,134,165,157,159,158,144,136,127,100,61,128,192,180,181,181,180,179,178,177,177,176,176,174,174,161,136,143,142,137,162,152,147,141,130,118,100,68,92,185,184,183,184,184,182,182,179,177,178,178,177,175,177,162,138,143,140,132,155,145,138,123,107,91,66,73,170,187,183,185,183,184,182,181,181,180,179,179,177,176,178,158,140,143,138,132,137,128,119,102,81,64,79,161,190,184,185,185,185,185,184,183,182,181,179,179,178,178,175,149,143,143,138,129,122,110,104,92,71,101,171,190,184,185,185,185,185,186,185,185,184,182,181,181,179,181,163,142,147,146,142,133
3,138,138,139,138,139,139,139,141,139,138,138,136,136,136,135,134,134,132,130,128,126,124,124,122,121,120,119,116,139,139,141,141,141,140,140,142,140,139,140,137,136,136,136,134,128,131,131,129,128,125,123,123,122,120,119,117,141,141,142,142,142,141,142,142,142,141,140,138,138,137,133,151,90,110,136,129,129,127,125,124,122,121,120,119,143,142,143,143,142,143,142,142,143,142,142,141,139,136,143,146,68,113,138,130,129,128,128,126,124,122,121,120,144,145,146,147,145,144,145,144,144,144,143,142,142,136,160,116,65,133,137,133,130,129,129,128,127,124,121,121,148,147,148,149,148,148,147,146,146,145,144,144,141,149,161,80,91,143,135,136,135,133,131,130,128,126,124,122,149,149,149,151,150,150,149,150,149,146,147,147,141,171,143,67,116,147,139,139,137,136,133,131,129,128,126,125,150,151,152,153,151,152,152,151,150,149,150,145,160,164,109,67,138,147,143,142,138,137,135,134,131,130,128,127,152,155,155,155,155,154,153,154,153,152,152,149,167,143,72,97,143,133,140,142,144,139,136,135,134,133,131,128,155,156,157,158,158,156,158,156,156,155,153,152,161,148,111,121,140,133,140,132,126,139,140,135,137,136,134,132,156,157,159,159,159,158,159,158,158,157,155,155,164,170,152,123,124,125,128,142,124,89,136,143,131,132,137,134,159,159,160,160,160,160,160,159,159,158,158,155,182,159,135,138,128,107,101,88,114,98,83,112,117,91,129,139,162,162,161,161,162,163,162,161,161,161,157,167,186,161,141,126,110,95,71,73,51,105,105,79,90,84,134,139,163,163,163,163,163,164,164,163,163,162,164,190,175,129,85,72,104,95,79,72,58,57,90,71,60,129,143,139,165,165,166,166,165,166,165,165,164,162,185,191,136,88,54,37,119,146,96,75,64,61,44,56,93,150,140,140,166,166,167,167,167,167,167,167,163,175,200,166,99,65,49,39,69,165,158,137,90,57,64,63,113,151,142,141,167,168,169,168,169,169,168,170,157,189,195,145,95,70,45,38,32,80,154,179,109,52,75,68,134,151,143,143,170,170,170,170,171,170,170,172,156,181,179,147,95,55,41,35,39,32,62,109,60,73,81,81,148,150,146,144,171,171,171,171,171,171,171,173,161,173,187,157,105,65,42,40,45,55,56,52,54,84,80,90,154,149,147,144,172,173,173,173,173,173,173,174,160,170,195,158,119,80,51,46,57,64,75,87,79,81,79,102,159,150,148,147,173,174,174,175,174,174,174,175,161,167,201,166,124,89,67,48,60,75,93,102,91,78,69,116,161,150,150,150,174,175,175,175,175,176,175,177,162,162,203,169,129,101,83,52,61,90,104,104,94,74,84,150,156,152,151,151,174,174,176,176,177,177,177,179,164,156,196,166,136,105,87,60,63,91,98,93,86,77,141,164,156,155,153,151,175,176,178,178,177,177,177,179,167,155,193,170,141,107,83,66,66,85,91,87,75,98,163,159,158,156,155,153,177,178,178,179,180,179,179,181,172,154,186,170,140,106,84,76,69,82,87,83,76,138,166,160,159,158,156,154,177,178,179,179,179,180,180,181,173,163,185,161,134,107,92,83,71,78,83,79,123,167,163,162,159,158,156,154,178,179,179,179,179,179,179,181,174,162,189,161,138,114,97,85,77,79,82,119,170,165,165,162,161,159,156,154,178,180,179,180,180,180,181,182,172,160,182,154,134,114,91,82,83,79,102,167,170,167,166,164,163,161,157,155
3,193,195,197,199,200,201,203,202,202,202,202,201,201,201,202,200,199,197,195,195,193,191,189,185,183,182,180,177,194,196,198,200,201,201,204,203,203,204,203,202,202,201,201,203,201,199,197,196,193,192,190,187,184,182,181,179,194,197,198,201,201,202,203,204,204,203,204,203,201,207,180,160,204,198,198,196,195,192,190,188,186,184,182,180,195,197,199,202,201,203,204,205,204,205,204,204,203,209,179,120,196,201,198,197,196,194,191,188,186,184,183,181,196,198,201,203,204,205,205,205,205,206,205,204,204,209,178,114,182,206,199,197,196,195,192,189,187,186,185,183,197,199,202,203,205,206,207,207,207,208,208,206,204,208,174,107,179,208,199,199,197,196,193,191,189,188,185,184,199,202,204,206,207,209,209,210,210,211,211,210,208,213,191,117,171,210,200,201,199,197,195,193,191,189,187,186,201,203,206,208,209,211,212,212,212,212,211,211,209,207,178,114,159,215,202,202,201,198,197,195,194,191,189,188,202,205,207,210,210,211,214,214,213,214,213,211,215,195,155,113,149,213,205,203,202,201,199,196,194,193,191,189,203,206,210,212,213,214,216,216,216,216,216,214,220,227,200,142,173,166,196,208,203,202,200,198,196,194,192,191,204,207,211,213,215,216,217,218,218,218,219,214,172,169,202,159,192,133,151,218,203,203,201,200,197,196,194,192,206,210,213,215,216,216,218,219,221,219,213,216,174,130,153,163,170,156,103,165,213,204,204,202,200,197,195,193,207,210,214,215,216,217,218,219,221,220,167,156,203,165,126,165,169,167,129,108,185,212,204,203,200,198,197,194,209,211,215,217,217,218,220,221,223,217,182,145,169,190,132,152,157,154,150,106,169,217,205,204,201,201,198,195,209,213,216,218,218,220,222,223,223,184,195,175,141,179,144,98,92,162,159,102,184,217,207,205,203,201,198,196,210,214,216,218,219,221,221,227,209,154,151,175,117,142,136,88,82,160,165,107,195,215,208,206,204,203,200,197,211,213,217,218,220,223,222,228,207,162,115,152,97,118,152,114,113,170,163,108,199,216,210,208,205,204,201,199,212,214,217,219,222,222,224,223,190,154,119,128,117,107,155,116,157,175,148,106,206,216,211,209,207,205,202,199,212,215,219,221,223,224,225,222,203,176,132,113,116,128,177,169,179,159,112,128,223,213,212,211,208,206,202,200,213,216,219,222,223,224,227,224,210,187,147,134,123,181,219,201,167,146,95,175,226,213,214,212,209,207,203,201,214,217,219,222,223,225,227,223,207,190,159,139,134,200,203,182,163,137,106,212,220,215,214,213,210,208,204,202,213,217,219,223,224,225,227,224,198,183,163,149,145,198,196,176,159,115,134,231,217,217,215,213,211,209,205,202,212,216,219,223,225,226,228,230,203,186,174,164,150,188,190,167,140,97,187,230,219,218,217,215,212,209,207,204,213,216,221,223,224,227,229,232,217,190,185,168,147,166,169,146,106,122,232,223,221,218,218,216,213,210,208,205,213,217,221,224,225,226,229,231,226,203,186,169,152,149,152,132,89,189,232,222,223,219,217,216,213,211,208,206,214,217,221,224,226,228,228,231,228,212,182,172,167,154,147,112,118,231,224,224,223,221,218,216,214,212,210,206,213,216,220,223,225,229,230,231,218,210,193,189,174,156,138,96,152,237,222,225,224,223,219,216,215,212,211,208,212,216,221,223,226,229,230,230,209,214,203,189,170,147,124,90,179,236,223,224,223,221,218,216,214,211,210,207
12,131,132,134,134,134,135,135,134,135,136,136,135,136,138,136,136,136,136,136,136,136,137,135,135,135,134,134,134,134,135,135,135,136,136,137,137,137,138,138,139,138,136,138,140,138,136,137,137,138,138,137,137,137,136,136,134,135,135,136,137,138,138,138,140,139,139,138,129,136,150,130,121,136,141,139,139,139,140,139,137,137,138,137,136,136,137,139,138,139,140,139,140,138,162,150,123,106,167,145,110,101,146,139,141,143,140,140,140,140,139,139,139,137,139,141,140,140,141,142,141,144,182,166,140,92,147,169,131,77,129,137,114,127,146,141,142,142,141,141,140,139,140,141,143,142,143,143,141,148,183,179,149,100,117,180,143,101,72,132,111,76,133,146,143,144,142,142,141,141,141,142,142,143,145,146,143,152,175,181,154,114,93,173,149,121,66,106,121,62,93,154,143,147,145,145,143,141,142,143,143,144,145,146,143,155,164,172,165,125,79,146,156,121,79,61,106,68,85,156,146,147,145,145,144,142,143,145,146,146,147,146,146,148,132,155,166,147,114,97,146,112,68,33,71,66,93,157,147,148,147,147,146,144,145,147,147,149,143,150,169,125,102,121,139,148,112,62,79,81,39,59,93,54,106,157,148,150,148,148,149,144,144,147,150,146,158,180,160,101,82,88,80,112,83,57,68,100,80,119,105,54,128,154,149,151,150,149,148,146,147,147,146,157,184,166,137,102,84,55,50,67,101,94,106,138,160,139,89,54,145,158,151,152,151,151,150,145,147,149,148,175,160,140,146,120,97,57,53,57,57,66,85,126,166,171,153,102,84,146,155,152,152,151,152,147,147,147,152,174,152,130,150,128,98,66,48,65,67,65,59,130,157,172,156,124,87,80,157,153,152,152,152,148,147,146,167,172,149,118,138,141,132,98,54,68,83,74,129,164,154,149,133,126,119,71,138,158,153,153,153,148,149,149,163,182,162,131,94,137,157,113,65,65,86,128,169,164,155,143,108,113,106,72,147,157,154,154,154,149,149,150,158,182,172,149,109,97,125,149,126,67,143,176,163,157,146,134,105,90,74,85,163,155,155,155,155,149,149,150,158,182,178,156,125,120,103,112,110,127,182,175,165,151,139,122,100,75,54,118,164,156,157,156,155,149,150,151,156,176,179,166,135,132,126,93,119,177,177,176,161,139,128,107,95,65,60,151,158,156,158,157,157,149,149,149,152,169,174,174,151,138,129,123,119,172,175,173,153,125,112,96,92,56,91,166,155,158,158,158,158,149,148,150,148,159,176,177,165,147,132,133,115,159,174,160,143,112,95,99,83,49,126,164,156,158,158,157,157,149,149,151,149,146,178,178,167,151,135,130,123,145,168,144,125,100,89,102,69,60,155,159,158,157,157,157,156,149,151,151,154,145,168,168,150,141,133,129,128,132,147,131,107,95,95,92,53,101,167,157,158,157,158,158,158,149,151,152,156,147,163,160,137,131,129,130,124,125,132,122,111,92,90,73,63,151,162,159,158,158,158,158,158,149,152,152,154,150,160,157,140,139,139,133,123,120,132,130,106,78,77,54,119,166,158,160,159,159,159,159,158,150,151,153,153,150,157,163,149,147,143,137,131,117,138,123,86,70,58,79,163,158,160,159,159,159,159,159,158,148,150,153,155,153,155,170,152,154,149,139,138,110,134,107,82,68,53,134,166,160,161,160,160,159,159,159,158,94,96,97,102,100,134,177,161,158,157,144,139,107,124,102,84,58,65,148,150,152,153,156,157,158,159,158,158
0,185,187,189,192,193,194,195,198,197,196,196,197,197,196,196,195,194,194,194,193,191,189,188,187,186,186,184,183,186,188,191,193,194,195,196,198,198,197,198,199,199,198,198,196,196,195,194,193,192,190,189,188,187,187,186,185,186,189,192,193,195,196,197,199,200,199,200,200,199,199,199,197,197,196,194,193,193,192,191,185,176,183,187,187,188,189,192,194,196,198,199,201,201,201,201,200,198,198,193,180,179,189,183,169,177,191,195,182,150,170,188,187,189,191,194,196,198,199,200,201,201,202,200,187,173,178,174,145,127,143,150,129,128,174,196,175,133,167,189,188,190,192,195,197,198,200,200,195,185,191,194,165,129,123,145,136,112,97,117,121,104,145,188,164,125,167,190,190,192,194,197,199,200,201,200,184,151,144,172,159,123,101,128,142,123,97,110,125,105,131,177,156,115,156,191,191,193,195,198,200,201,203,202,185,153,123,146,162,132,109,126,149,128,101,108,125,103,112,161,146,101,133,188,193,194,196,199,200,203,208,202,194,168,132,127,161,137,108,115,147,126,96,101,119,95,87,135,137,94,111,182,193,195,197,199,201,207,205,193,198,173,138,113,146,135,104,103,141,122,86,83,99,84,79,124,135,94,110,183,194,196,198,200,203,215,208,181,186,166,136,101,125,132,102,92,126,108,74,66,78,73,90,136,133,94,126,189,195,196,199,201,206,213,200,173,167,144,112,84,107,120,92,76,97,85,67,69,76,74,104,141,128,96,146,194,196,197,200,202,207,210,193,167,155,124,89,75,97,99,76,70,85,78,66,77,80,85,124,144,125,102,165,196,196,198,201,203,207,219,212,187,155,117,95,82,99,97,69,71,96,88,84,100,100,107,137,142,115,107,178,198,197,198,201,203,208,222,221,203,171,130,106,92,109,110,89,103,124,129,138,141,134,127,131,122,97,113,187,199,199,199,201,204,209,222,224,210,185,151,124,112,114,125,148,167,172,171,166,154,143,125,108,95,81,125,193,200,200,199,201,204,208,220,223,209,186,161,135,124,134,156,183,187,185,175,164,151,137,116,91,79,86,154,199,201,200,198,200,203,207,216,219,207,188,169,145,133,148,169,186,185,179,168,155,142,126,106,83,79,129,188,201,201,200,198,200,203,206,212,215,205,191,174,153,141,156,168,178,179,170,157,143,130,115,95,79,114,181,202,202,201,200,199,202,204,207,209,211,204,191,175,155,141,147,158,166,172,161,147,133,119,102,84,104,171,202,204,203,202,200,200,202,204,207,208,208,203,191,175,154,134,130,143,151,155,148,137,123,104,87,99,162,200,205,205,203,202,200,200,202,204,207,208,207,202,190,175,150,124,117,128,135,133,128,120,106,91,99,155,199,205,205,205,203,195,180,199,201,203,205,208,204,191,182,166,138,115,114,119,121,113,104,97,97,122,164,198,206,205,204,202,187,141,101,179,181,177,158,180,206,190,176,159,141,127,120,113,110,98,83,79,122,167,183,186,184,175,169,165,126,71,48,129,129,113,78,128,195,194,181,165,152,136,118,102,97,85,69,71,106,121,121,115,100,83,75,74,57,40,34,115,111,87,64,87,143,170,174,165,149,127,106,91,84,71,57,71,93,87,71,55,42,34,35,36,35,31,28,117,107,79,67,66,80,108,135,143,132,110,92,80,70,54,39,50,66,54,39,32,28,25,25,29,32,30,28,116,101,75,67,63,60,64,84,104,103,88,75,65,54,37,19,14,27,33,27,25,26,23,20,23,29,30,29
4,186,190,194,196,199,202,204,207,208,210,210,212,214,215,214,215,214,214,211,212,212,211,211,210,211,210,209,208,187,191,195,198,201,203,205,208,210,212,212,217,217,214,212,213,220,215,216,214,214,213,212,211,211,210,210,209,189,193,196,200,203,204,207,210,211,211,211,206,213,231,212,165,177,223,216,217,216,214,214,213,214,213,210,210,190,195,197,200,204,208,209,212,210,228,219,179,168,251,221,169,119,223,224,221,218,217,216,215,216,214,213,213,192,196,200,203,206,209,210,210,205,255,246,195,136,219,227,171,110,164,185,199,224,218,218,217,217,216,215,214,193,198,203,205,207,206,220,238,216,189,245,220,150,189,236,171,89,109,170,130,189,227,217,219,218,217,216,215,194,198,203,206,209,210,248,255,223,136,215,223,144,159,221,155,85,119,175,136,108,223,222,220,219,218,216,216,195,199,204,208,209,214,242,232,212,132,196,201,134,125,182,141,80,141,187,141,90,211,226,221,219,220,219,217,195,201,205,207,209,210,242,213,215,136,178,188,131,96,150,128,94,203,194,129,92,214,227,221,219,221,219,218,197,202,205,208,211,211,247,205,195,180,160,193,169,101,132,105,104,202,160,95,92,226,225,221,221,222,220,219,199,203,207,210,212,213,255,240,200,153,114,209,189,182,168,157,159,185,173,117,94,231,227,224,223,223,222,220,200,203,209,210,211,218,255,233,195,144,105,124,129,198,174,190,211,225,215,145,114,234,227,227,224,224,224,222,200,205,209,211,211,227,255,208,165,137,116,99,91,131,175,188,203,211,196,144,108,223,228,227,225,224,224,224,200,205,209,214,210,236,255,211,172,132,106,103,115,115,142,161,161,170,178,157,97,188,237,226,225,224,225,225,201,205,209,214,209,242,255,216,171,136,118,112,121,148,140,146,174,183,195,171,109,148,243,226,227,226,225,225,202,206,210,215,212,249,252,209,161,129,121,112,115,158,154,196,223,224,228,187,133,103,227,231,228,228,226,225,203,207,211,215,215,251,249,208,164,136,122,121,124,155,175,232,245,236,242,201,148,86,183,243,229,232,228,228,204,207,211,216,215,249,240,209,170,152,138,128,127,152,227,243,248,227,220,187,141,85,174,245,229,231,229,228,204,206,210,215,215,245,233,209,178,154,137,131,135,199,255,251,235,215,186,159,115,96,218,236,231,231,229,228,203,205,210,214,213,243,242,212,167,141,133,142,165,242,255,246,216,189,160,129,88,151,242,230,230,230,229,227,204,205,210,214,214,237,248,214,177,174,151,153,191,254,248,229,198,168,138,104,95,223,235,231,230,231,230,227,203,207,210,215,216,230,243,222,194,188,165,136,207,253,230,207,178,151,121,79,157,246,232,233,232,231,229,228,203,207,210,215,217,228,248,226,195,189,168,136,217,238,207,180,150,125,98,90,226,237,233,232,232,231,229,228,204,207,210,218,212,231,255,236,204,183,153,137,212,215,183,156,125,109,70,160,246,232,233,233,233,232,230,228,205,207,211,217,208,253,255,225,192,164,126,146,198,177,138,120,104,78,103,233,234,233,233,233,233,231,229,227,206,209,215,212,226,255,245,224,199,156,139,164,176,134,107,103,91,88,214,241,235,236,235,235,234,235,232,232,194,195,200,194,248,254,245,231,196,165,157,162,156,119,110,115,84,165,225,217,220,220,220,221,221,221,220,219,135,135,125,162,255,235,223,212,175,161,175,141,127,111,106,101,92,128,130,130,129,128,128,129,130,133,134,132
1,107,111,113,116,119,123,126,127,128,128,129,130,131,130,130,129,127,126,130,126,125,124,124,120,119,119,118,115,110,114,117,119,122,125,127,129,131,131,131,131,131,131,130,130,136,133,114,129,126,126,126,123,122,119,119,117,112,117,121,122,125,128,131,132,133,133,133,134,134,131,141,123,142,147,62,116,126,128,126,124,124,121,120,119,115,119,123,126,127,131,134,134,136,136,136,136,136,134,169,108,76,140,54,77,95,103,131,125,126,125,123,121,118,123,126,128,130,132,135,137,139,140,140,139,136,149,177,95,49,128,51,76,96,62,136,128,128,127,126,124,120,125,127,130,133,136,138,140,142,142,139,155,147,91,140,79,65,148,60,76,100,53,131,132,130,129,127,126,122,126,130,133,136,138,141,143,144,145,142,176,129,42,103,79,73,147,67,60,100,55,130,136,132,131,129,126,124,129,133,135,138,141,144,144,147,146,148,177,105,42,105,70,59,119,53,81,118,61,123,141,135,135,132,130,127,131,134,137,141,143,145,148,149,147,159,178,102,42,91,53,75,112,44,87,114,57,118,145,137,137,134,133,129,133,136,139,142,143,147,150,152,147,170,166,90,54,98,51,100,124,51,78,105,53,124,146,140,140,137,135,131,135,137,141,145,146,148,152,152,148,174,155,79,68,121,58,80,111,47,103,114,56,127,147,142,141,138,135,132,136,139,142,147,148,150,152,156,151,183,160,105,55,91,32,45,69,35,127,111,58,131,149,145,143,141,138,133,138,142,144,147,149,151,154,158,155,185,141,87,39,45,44,49,48,52,108,81,52,143,148,146,145,143,142,136,142,144,147,149,151,154,158,159,160,177,140,116,107,69,93,56,98,113,66,50,67,157,147,148,146,144,141,137,143,146,149,151,155,158,159,160,169,197,180,126,147,143,131,124,142,101,43,39,100,160,148,148,147,145,142,137,143,149,151,154,157,160,162,157,188,209,140,91,101,137,148,142,123,104,75,19,111,162,149,150,149,146,144,139,145,150,153,158,159,162,164,159,200,182,104,89,51,52,99,86,123,144,96,25,115,164,152,152,150,148,145,142,147,151,156,160,161,163,166,165,207,188,140,88,75,64,47,107,110,169,122,43,97,167,153,153,152,149,147,145,149,153,157,161,164,166,167,172,210,186,150,83,88,55,119,189,126,163,136,69,44,156,159,155,155,151,148,146,151,156,160,163,167,169,170,175,206,188,147,78,94,70,178,191,169,128,101,85,43,148,163,156,155,153,150,146,152,157,161,165,167,171,170,179,205,196,138,86,90,109,204,193,156,127,85,57,55,164,162,160,157,155,151,149,154,159,162,165,170,173,171,181,208,185,126,109,73,148,206,182,153,118,99,34,76,175,162,162,158,157,155,150,156,161,164,167,171,174,172,181,205,173,147,120,84,179,198,172,143,113,83,28,129,174,164,164,161,158,157,151,157,162,166,169,172,173,183,190,194,173,168,125,108,186,188,161,134,100,50,58,174,167,167,165,162,159,157,152,158,163,167,170,172,183,138,128,201,174,176,124,96,163,161,135,109,79,26,132,180,169,168,166,164,162,159,155,159,164,170,171,174,182,55,22,130,170,166,86,75,112,116,101,78,27,70,185,170,172,171,168,166,164,161,155,161,164,170,170,184,135,32,37,24,61,76,53,73,83,82,57,31,36,165,178,172,173,172,169,166,165,162,153,158,165,169,170,182,84,36,33,30,24,29,34,45,42,43,13,0,108,190,172,174,173,172,170,166,164,162
6,154,157,161,164,167,170,173,175,177,179,181,181,182,184,185,186,187,186,187,187,187,188,188,187,186,187,185,185,155,158,162,165,168,170,173,176,178,179,181,182,183,185,186,186,187,187,188,188,188,188,188,188,187,187,187,186,155,158,162,165,169,171,174,176,178,179,182,183,184,185,186,188,187,188,188,189,189,189,189,188,188,188,187,186,156,159,163,166,170,173,176,177,179,180,182,184,185,186,187,188,188,189,190,190,190,190,191,189,188,188,188,188,157,161,164,168,171,173,176,178,179,181,182,185,186,188,187,188,190,192,192,191,191,191,191,191,191,190,190,190,157,161,165,168,171,174,176,179,181,181,182,185,187,188,187,188,191,191,192,192,191,191,192,192,193,191,190,190,159,162,165,169,172,175,178,179,181,181,183,183,185,187,184,185,186,191,190,185,183,174,172,181,188,189,191,191,159,162,166,169,176,187,189,180,180,186,191,194,197,199,189,191,192,203,200,190,184,168,158,172,175,166,191,191,158,160,166,182,199,205,198,179,165,169,188,195,197,194,185,181,188,187,184,182,173,162,155,161,159,155,191,192,158,171,191,205,206,205,199,183,149,127,141,148,151,154,155,155,152,149,152,151,149,148,153,160,165,183,193,192,187,205,206,201,201,206,205,183,145,110,101,96,99,116,131,144,162,176,182,184,186,188,190,191,192,193,193,192,209,205,201,203,207,205,188,154,132,112,103,103,98,110,160,187,193,193,194,195,195,195,194,194,194,193,193,193,208,205,205,203,203,194,180,155,126,109,103,109,113,107,117,142,186,196,195,196,195,195,195,195,195,194,193,193,208,207,205,203,204,204,204,177,129,110,98,100,113,116,114,99,126,186,196,196,196,196,195,195,195,195,194,193,203,204,203,201,204,211,204,166,129,115,114,110,106,106,113,108,94,136,195,197,197,196,195,195,195,195,194,193,201,201,198,198,206,210,183,150,128,120,118,120,117,99,95,98,99,114,191,197,197,196,195,194,195,195,194,193,194,194,192,192,199,199,178,146,120,110,116,125,132,115,103,93,93,130,185,188,188,187,186,186,185,185,185,185,195,195,193,192,197,197,185,149,117,98,95,108,135,131,117,103,98,117,130,129,127,127,126,126,125,124,122,122,197,197,198,197,203,201,183,142,117,116,113,109,105,112,117,112,108,101,99,99,100,100,99,97,96,96,95,94,195,193,191,192,200,192,171,139,123,124,123,117,110,104,101,105,107,104,103,103,104,104,103,101,100,100,100,98,185,180,175,180,185,175,159,140,129,127,126,117,109,104,104,109,109,108,106,104,103,102,103,103,102,101,100,99,172,167,163,169,168,155,140,130,121,116,120,118,116,113,110,110,109,109,106,105,104,103,103,103,103,102,102,101,155,152,145,142,138,127,117,110,106,100,103,107,111,112,108,107,107,107,105,104,103,102,102,103,102,101,101,101,132,126,117,112,111,111,111,110,109,109,108,107,109,109,108,108,107,107,106,106,103,103,103,103,102,101,100,99,105,108,109,109,110,111,111,111,110,110,111,110,110,109,108,108,106,106,106,106,103,103,103,102,102,100,98,119,107,110,111,110,110,110,110,110,110,110,110,108,109,108,108,106,105,105,105,105,103,103,103,103,103,97,114,181,110,111,111,112,112,110,110,110,110,110,109,109,109,108,108,106,106,105,105,105,104,104,104,105,103,105,171,193,111,111,111,111,110,110,109,108,109,108,108,109,109,108,108,107,106,105,105,105,104,104,104,107,102,149,197,177
19,156,159,161,161,161,164,164,163,164,165,165,165,164,164,163,161,166,163,159,159,159,159,159,158,157,157,156,156,158,159,162,162,163,165,166,165,166,167,166,166,166,165,165,158,126,146,166,160,161,161,161,160,159,158,157,156,160,161,163,165,165,166,167,168,167,167,167,169,169,165,179,155,104,89,169,163,164,162,162,161,160,159,159,158,161,162,164,167,167,168,169,170,170,168,168,170,168,170,188,156,121,74,159,167,165,165,164,165,161,160,161,161,162,165,167,168,169,169,170,171,171,170,171,172,169,176,185,151,115,68,158,170,166,167,164,162,165,162,161,162,163,166,167,168,170,172,173,171,171,171,171,173,168,181,180,130,97,62,156,166,162,158,162,184,149,160,164,164,165,167,168,170,171,173,173,173,173,173,172,172,168,178,175,137,130,144,170,158,168,164,175,215,112,152,166,164,166,167,171,174,173,174,174,174,174,174,172,176,179,178,169,167,175,191,183,163,162,163,139,116,117,168,166,165,168,169,172,174,175,176,175,174,172,179,188,199,202,191,171,149,142,135,131,111,101,101,109,132,167,167,166,167,171,172,173,174,176,176,179,181,182,196,200,197,187,173,167,163,153,87,87,117,142,155,172,177,169,170,169,167,173,173,175,176,176,183,200,191,189,184,186,185,182,182,179,178,167,86,124,188,177,176,172,171,171,170,170,168,174,174,175,178,174,193,208,195,186,185,192,194,197,187,178,172,141,76,98,185,171,173,173,171,172,172,171,169,174,175,178,180,177,192,203,183,177,188,197,199,187,177,179,181,163,81,66,175,175,174,173,172,172,173,172,170,175,176,179,181,179,193,193,176,178,182,175,175,181,190,180,182,174,89,49,140,183,173,175,174,172,173,172,171,177,179,180,182,182,199,178,180,181,171,159,185,189,178,171,170,143,84,47,113,188,175,176,175,174,173,173,172,178,179,181,183,184,192,188,192,189,191,195,196,182,174,166,152,122,75,46,91,189,177,178,177,176,174,174,173,179,181,182,185,185,185,210,199,190,190,192,181,166,158,171,183,175,98,35,121,190,177,179,178,176,175,175,175,181,181,184,186,188,182,206,204,184,178,161,128,155,193,190,176,175,105,63,179,183,181,179,180,178,178,177,175,181,184,187,186,189,184,188,197,182,176,166,174,197,188,165,152,143,90,58,171,185,181,182,181,181,179,179,177,181,184,186,187,188,187,184,193,203,195,187,190,183,166,154,139,118,68,66,181,183,182,183,182,182,181,179,177,183,186,187,189,190,190,186,189,203,189,171,175,167,151,128,93,63,72,161,188,183,184,183,183,183,182,181,180,185,188,188,189,192,193,182,190,192,181,161,156,133,110,80,53,36,149,199,184,185,184,184,185,183,182,182,181,185,188,189,191,192,194,183,187,187,173,151,137,119,91,67,54,92,197,185,188,187,186,186,186,184,182,181,181,185,188,190,193,193,194,184,177,183,168,142,131,129,91,67,56,106,201,187,189,189,188,188,187,186,184,183,182,185,188,190,193,193,196,184,172,173,166,138,121,95,75,68,61,68,190,191,189,189,189,188,188,187,185,184,182,185,187,189,191,192,196,182,171,163,165,153,132,98,78,71,62,66,186,191,188,188,187,187,186,186,183,181,180,186,188,189,191,192,196,174,174,170,160,146,134,101,79,71,60,75,192,189,189,189,187,187,186,186,184,183,181,186,188,190,192,192,198,169,183,189,175,143,113,89,72,69,53,120,199,188,189,189,188,188,188,187,185,183,182
10,146,147,147,147,148,149,149,150,149,148,148,149,148,147,146,145,143,143,141,140,139,138,137,136,135,133,132,132,151,151,152,152,152,152,152,153,152,152,151,152,151,150,148,147,146,145,146,138,135,139,138,137,135,135,134,132,156,156,156,158,158,158,158,158,157,157,156,155,155,154,152,150,149,147,164,138,106,141,140,138,137,137,136,135,160,161,160,161,163,162,162,161,161,161,160,160,159,157,155,154,153,151,171,141,93,141,142,141,140,138,137,136,166,165,166,166,166,167,166,165,165,166,165,164,163,162,159,158,157,156,174,140,91,142,147,144,143,141,139,138,170,170,170,170,171,171,169,170,170,171,170,169,167,166,164,162,161,160,175,131,87,144,151,148,146,144,143,141,174,175,174,174,175,175,174,174,175,175,174,172,171,170,168,166,166,164,181,144,95,146,155,152,150,148,146,143,178,179,179,179,179,180,179,179,179,180,179,177,175,174,172,171,170,170,187,143,122,147,158,156,153,151,148,146,181,181,182,183,183,183,183,182,183,184,182,181,180,178,176,175,173,176,184,162,143,117,162,160,156,154,152,150,184,184,185,186,186,186,186,185,186,186,186,184,184,182,180,179,174,162,169,172,136,90,162,163,160,157,155,153,187,187,188,189,188,188,188,188,189,189,188,187,186,186,184,182,180,162,141,146,140,81,126,167,164,161,158,156,190,190,190,191,191,191,191,191,192,192,191,190,189,188,184,179,187,184,157,125,108,97,76,152,167,165,161,160,193,192,193,194,195,195,194,194,195,195,195,193,191,188,165,136,131,161,167,163,123,87,79,111,170,167,165,165,195,195,196,197,197,197,197,197,197,197,195,179,159,177,180,150,100,66,150,163,111,70,69,109,173,171,168,167,198,198,199,199,200,199,199,199,199,198,194,178,148,131,190,172,125,52,58,92,102,79,67,119,176,174,172,169,200,200,200,201,202,201,201,201,201,199,192,190,174,140,157,187,142,82,47,56,145,115,72,127,178,177,174,171,201,202,202,202,202,202,202,203,202,198,173,163,179,151,115,173,148,101,54,79,151,142,82,127,181,179,176,173,203,204,204,203,204,204,205,205,203,199,178,133,143,138,82,123,151,101,63,92,139,141,81,121,182,180,178,175,205,205,206,206,207,207,207,207,205,193,168,130,107,125,87,86,157,136,86,100,136,112,71,134,183,181,179,177,207,207,207,208,208,208,208,208,205,198,192,164,115,119,111,89,152,163,109,91,120,86,69,164,186,183,181,178,208,208,208,208,209,209,209,209,208,200,203,178,138,118,114,105,156,154,102,82,106,79,83,185,187,184,183,181,209,209,209,209,210,210,210,210,211,198,205,191,158,129,128,143,193,181,130,104,99,75,116,191,189,186,184,182,211,211,211,211,212,212,213,213,213,199,195,192,170,144,139,153,195,192,161,125,97,68,150,193,190,188,185,183,211,211,212,212,212,214,215,215,214,203,187,189,177,163,151,156,189,184,149,113,89,72,180,194,191,189,187,184,210,210,211,211,212,213,214,214,214,211,186,183,184,177,156,145,177,164,134,101,75,100,194,195,193,190,188,186,210,211,211,212,212,214,215,215,215,214,194,174,180,171,154,132,153,145,117,87,62,149,195,193,191,189,187,185,211,212,213,214,214,215,215,216,216,215,210,181,175,165,149,132,136,142,113,79,83,189,195,193,191,189,187,185,212,213,214,215,214,215,216,216,217,216,212,192,175,159,149,140,130,138,107,70,140,199,197,194,192,189,187,153
16,121,118,115,113,114,116,116,119,119,124,139,150,161,170,178,185,189,191,195,196,202,209,213,217,221,225,228,231,120,117,115,113,114,114,116,118,117,124,139,149,160,168,177,186,190,189,192,198,203,206,213,217,220,224,228,230,119,117,114,112,113,114,115,115,115,124,137,148,158,168,177,183,187,209,193,171,193,212,215,213,219,223,226,230,119,116,113,112,113,113,115,116,114,125,137,147,158,165,178,183,219,226,194,163,140,155,198,223,220,221,226,229,120,115,112,112,113,113,113,114,114,124,137,151,149,207,226,221,227,200,172,165,147,118,115,165,220,231,229,230,118,115,113,112,113,113,113,112,114,122,138,136,174,248,222,208,202,183,164,146,138,134,117,102,130,185,214,230,116,115,114,111,112,111,112,113,112,124,128,157,234,217,191,188,178,168,151,128,132,137,125,117,108,108,128,156,117,115,112,111,112,110,112,112,114,117,133,220,217,187,181,168,150,141,128,126,123,136,137,120,121,113,108,106,115,112,111,109,110,108,110,114,104,141,198,199,179,173,157,138,129,119,121,123,102,138,136,145,126,117,112,107,113,110,109,108,110,108,111,103,121,230,200,171,165,150,128,121,113,107,119,106,94,146,141,157,133,124,112,103,110,107,103,103,104,104,109,83,201,247,196,164,135,122,117,110,98,108,109,79,100,151,144,155,138,125,110,105,174,169,167,162,157,155,145,155,246,224,182,141,110,100,98,92,98,107,81,61,116,148,142,162,146,138,119,114,153,150,149,148,147,146,141,230,226,196,151,117,95,92,89,73,78,69,52,49,116,142,143,176,170,151,130,115,145,145,145,146,146,133,175,228,187,157,122,101,88,93,78,52,47,39,43,39,103,142,152,186,172,152,145,110,151,151,150,152,147,151,230,201,154,116,104,93,90,92,76,45,36,38,42,36,79,131,163,192,146,150,150,102,151,153,152,155,137,201,229,166,123,91,88,93,98,99,99,83,44,39,43,46,44,127,198,166,124,143,137,94,152,154,157,145,168,219,173,129,93,117,105,96,102,106,104,104,74,69,74,64,68,193,190,139,118,122,108,95,151,154,151,154,219,176,128,90,112,166,125,126,121,115,110,101,92,90,91,69,162,206,159,122,108,102,93,94,153,153,141,208,197,130,92,97,149,136,119,124,126,117,113,105,95,95,72,107,225,184,136,103,97,90,91,96,153,154,148,188,147,97,100,144,152,139,142,127,111,101,103,97,90,95,88,179,229,185,112,91,89,86,94,92,150,153,153,152,140,135,149,151,153,154,151,144,135,119,130,129,126,141,144,228,227,192,110,76,84,102,98,91,150,151,152,152,153,154,151,151,152,152,152,154,155,155,156,154,155,155,146,231,233,192,121,77,117,108,98,96,148,151,152,151,150,150,150,150,152,152,152,153,153,152,152,152,152,153,144,204,215,180,111,129,180,122,116,113,146,149,150,150,151,151,150,151,151,152,152,153,153,153,153,152,153,155,148,169,187,140,111,150,186,153,125,126,147,149,150,150,150,150,150,151,151,151,151,152,153,153,153,153,153,153,153,153,158,131,132,147,174,203,152,138,146,149,148,150,150,150,150,149,151,152,151,153,153,153,153,153,153,153,152,152,153,153,156,150,150,216,188,167,146,148,149,151,150,149,150,149,150,152,151,151,152,152,152,152,154,154,152,153,152,152,154,156,141,208,215,187,148,147,149,150,148,148,150,149,150,151,150,149,151,151,150,151,153,153,152,152,153,152,154,157,138,193,229,199
12,158,158,160,162,163,164,167,167,168,168,168,167,167,167,166,165,165,164,164,164,163,162,161,160,159,157,157,158,159,161,163,163,165,167,168,168,169,170,170,170,170,168,168,169,167,165,165,164,163,164,163,162,161,160,159,159,161,162,163,165,168,169,169,170,171,171,172,171,171,171,171,171,169,167,167,166,166,166,164,164,163,164,161,161,162,164,165,168,169,169,171,172,172,172,173,174,172,172,171,170,170,170,170,169,168,168,167,166,164,164,163,162,163,166,168,170,171,171,173,175,174,174,175,176,176,178,174,172,173,175,177,169,169,169,170,168,167,165,165,163,165,168,170,171,172,174,175,177,177,177,178,175,173,165,173,179,167,139,139,178,175,174,170,170,169,169,166,165,168,170,171,173,175,176,178,178,178,179,177,186,174,127,105,171,159,111,51,139,159,153,177,173,169,169,168,167,170,171,173,176,178,178,180,181,180,181,183,193,172,127,56,123,153,109,67,74,129,75,97,177,171,170,171,169,171,173,177,178,179,179,181,181,182,180,154,184,158,110,53,104,186,129,89,70,115,78,40,121,184,169,172,171,172,174,178,178,179,181,182,181,198,183,118,148,171,120,38,119,231,146,101,96,124,82,44,98,187,171,172,173,174,175,178,179,181,182,180,200,219,183,136,97,212,159,45,104,211,122,73,150,140,95,34,112,189,173,174,174,176,177,178,180,183,186,181,208,210,189,137,73,186,144,73,84,122,87,91,187,122,63,27,127,188,176,177,175,177,178,180,183,184,184,186,221,189,162,111,65,64,88,64,69,124,170,162,125,74,33,39,163,184,178,178,177,177,180,184,185,186,184,212,215,179,112,83,64,21,30,131,168,168,169,151,116,109,48,93,194,178,179,179,179,179,181,184,186,186,188,229,203,158,114,111,48,21,138,209,198,172,154,126,105,110,58,112,197,180,182,180,179,180,182,186,187,187,190,230,206,130,135,139,60,119,217,207,198,171,146,129,102,89,42,124,198,182,184,183,181,182,184,186,189,186,200,233,207,172,151,125,149,202,210,206,190,169,139,120,95,70,32,146,196,184,185,183,183,182,185,187,191,187,207,232,214,192,179,134,171,202,211,196,183,161,125,108,85,61,23,135,199,184,186,185,185,184,185,189,192,188,207,229,218,200,182,144,184,197,200,182,170,145,115,98,73,55,20,132,201,186,188,186,186,186,187,190,194,191,202,223,215,207,179,146,170,190,179,171,162,128,100,81,62,40,29,175,193,189,190,187,186,187,187,190,193,190,198,223,216,206,164,136,159,169,174,160,145,110,87,71,53,20,127,200,190,192,191,190,188,187,187,191,192,203,201,208,207,178,138,136,160,167,175,160,131,111,87,64,37,129,202,191,193,193,192,190,189,186,187,192,192,134,186,211,189,173,167,161,159,176,179,153,115,107,80,32,128,211,192,194,194,194,193,191,190,187,187,199,162,37,85,209,207,195,179,156,136,163,163,124,95,90,41,89,206,195,196,195,194,194,193,192,191,188,190,195,95,72,49,90,159,151,139,130,120,147,133,98,85,54,59,197,201,196,197,197,195,195,194,194,192,185,200,161,61,72,67,3,44,45,44,39,42,68,74,71,58,37,171,208,197,199,199,198,197,196,195,195,194,185,193,104,63,67,75,3,12,36,31,18,11,7,11,19,4,30,182,203,199,199,199,199,198,196,195,195,193,194,158,65,66,64,72,0,0,25,27,17,14,11,8,1,0,0,105,215,196,199,198,198,196,194,194,193,191
0,180,181,181,181,180,180,180,180,179,178,177,178,177,176,175,174,174,173,171,171,170,168,168,166,166,165,163,162,181,182,181,182,182,181,181,181,180,178,178,179,178,178,176,176,175,174,174,173,171,169,168,166,165,165,164,164,181,182,182,182,183,183,183,182,181,180,179,179,178,178,178,177,174,174,173,172,172,171,168,168,166,166,165,164,183,184,184,183,184,184,184,184,182,181,181,181,183,183,178,180,180,176,172,172,171,172,171,169,168,167,164,164,183,185,186,186,185,185,183,183,185,185,181,169,141,151,183,163,149,165,180,176,177,175,170,172,170,168,166,165,185,186,186,187,186,183,184,176,156,166,179,150,120,92,135,137,109,90,156,150,136,161,176,166,169,169,168,167,187,187,186,186,186,185,184,166,137,115,145,162,123,91,101,148,117,84,84,123,92,77,151,138,136,174,167,166,187,187,186,187,186,186,185,181,159,131,104,159,131,100,101,153,124,90,88,137,112,66,87,136,107,176,167,167,188,188,188,187,186,190,182,174,164,141,92,144,138,103,100,152,126,91,79,133,113,72,63,126,100,168,170,168,189,188,188,188,187,192,178,141,165,124,82,146,134,96,94,144,117,82,63,113,96,64,59,126,88,137,178,169,190,189,189,188,188,187,154,116,160,106,79,139,113,76,87,131,105,71,67,126,106,55,63,132,111,91,167,172,189,189,189,189,190,188,167,139,158,117,93,131,113,74,85,133,105,61,105,148,113,47,68,132,124,80,122,181,190,191,190,189,192,184,162,138,142,126,97,137,131,76,102,149,117,65,131,155,87,41,111,140,124,71,109,181,190,192,192,191,188,161,133,117,104,90,84,148,129,72,110,155,121,68,42,73,36,77,145,143,108,60,150,175,192,192,192,193,188,164,137,111,86,75,72,102,107,68,63,108,89,64,70,39,61,138,145,131,76,97,181,170,193,192,193,190,182,163,141,112,91,89,92,84,92,90,75,79,112,141,148,132,117,140,131,104,61,156,178,171,194,193,194,189,181,166,144,117,93,86,93,100,116,128,133,149,160,150,139,140,113,116,120,68,90,184,172,174,194,194,194,192,185,167,147,127,102,93,95,108,138,150,161,163,157,144,135,128,103,95,100,49,145,182,173,174,194,194,194,192,186,167,151,132,112,111,98,133,166,165,166,162,153,138,131,124,94,81,60,82,185,177,177,174,194,195,194,192,189,173,156,140,127,124,128,162,171,168,167,160,147,135,124,110,83,55,60,167,181,177,178,175,194,195,194,192,190,174,160,148,137,131,157,166,170,172,166,151,142,127,112,95,59,51,162,184,177,178,177,177,194,196,195,190,187,179,166,152,138,136,166,166,172,171,158,140,128,117,100,71,43,153,187,177,180,180,178,176,195,196,196,189,185,181,169,157,140,135,163,168,165,160,144,127,114,103,78,42,142,191,178,181,180,181,179,178,196,197,197,192,185,183,173,165,150,137,159,165,154,145,130,114,99,74,40,132,194,181,183,182,180,181,179,178,195,195,198,194,189,179,173,166,157,144,157,156,144,130,120,101,73,39,129,194,182,185,183,182,181,180,179,179,195,195,198,193,186,177,182,178,166,151,152,148,129,118,108,76,39,134,197,184,186,186,184,183,182,180,179,179,195,196,197,191,188,176,185,179,160,148,143,139,118,100,86,48,137,200,186,188,188,187,185,184,182,181,180,179,197,197,195,188,182,168,180,168,154,147,137,123,107,92,56,98,202,188,189,187,188,186,185,184,182,182,182,180
20,211,214,217,219,221,223,224,224,226,226,226,226,225,224,223,222,221,221,219,221,218,215,215,212,211,209,209,208,212,216,219,220,222,226,225,227,228,229,228,229,227,226,227,224,223,221,220,206,217,217,216,214,214,212,212,211,214,216,220,222,223,226,227,229,229,230,231,230,228,227,228,227,223,222,235,157,168,233,217,216,216,215,214,213,215,218,221,223,224,227,229,230,231,232,232,229,230,230,229,229,225,228,237,148,149,204,215,220,217,216,215,214,217,219,221,224,226,228,230,231,233,233,231,231,231,231,230,229,226,237,222,144,115,146,165,228,217,217,215,216,217,221,224,226,227,229,231,232,234,236,234,233,233,232,231,233,227,246,218,130,140,174,145,228,219,219,217,217,219,223,224,227,228,231,234,235,237,237,236,235,234,233,233,233,230,249,211,130,187,179,142,227,221,220,219,218,220,223,226,230,230,232,235,237,239,239,238,237,236,236,235,233,233,247,196,133,214,184,148,227,223,223,222,220,221,225,228,230,232,234,237,237,239,241,240,241,241,238,241,239,238,242,177,148,227,175,157,232,224,224,223,221,223,226,229,231,234,235,236,239,241,241,240,242,242,235,192,204,255,241,168,175,232,159,161,237,225,226,224,223,225,228,230,233,234,237,239,240,242,243,242,240,238,241,189,135,220,233,154,198,242,154,170,239,228,229,226,225,224,228,231,234,236,238,242,242,243,245,241,249,246,239,233,188,156,151,121,197,226,144,186,240,230,230,228,227,226,229,234,237,238,239,241,243,246,246,244,255,255,246,255,240,178,118,89,162,188,137,201,240,233,230,230,229,229,232,235,239,240,242,244,246,248,244,253,240,190,229,230,234,181,128,111,132,143,126,215,239,233,230,230,229,230,234,236,238,242,242,244,248,248,245,255,229,156,209,204,227,210,151,116,112,122,123,227,238,233,232,232,230,231,233,237,239,242,244,247,248,248,247,255,242,195,165,136,201,233,171,125,109,110,130,236,238,235,233,233,233,232,234,237,239,241,245,248,249,249,251,252,202,170,147,98,145,250,190,144,117,104,142,244,237,237,235,234,233,233,235,237,240,242,246,249,251,248,255,249,200,188,163,128,212,253,200,173,131,104,159,250,237,239,238,234,232,232,235,239,241,244,246,249,251,249,255,243,216,187,157,214,255,234,195,184,139,110,169,252,238,239,238,236,234,233,236,239,241,244,247,250,251,253,255,255,210,172,195,255,246,210,181,173,141,119,188,251,239,240,239,236,234,234,237,240,242,246,249,253,252,255,255,247,192,185,238,255,235,202,164,152,140,126,216,248,241,241,240,237,235,234,238,241,244,247,249,252,251,255,255,215,214,188,255,255,232,200,166,135,133,138,238,246,244,241,242,239,236,231,235,240,243,246,248,250,249,255,255,238,233,185,255,255,218,186,163,137,127,162,249,243,243,241,240,238,237,232,234,238,241,245,248,250,250,255,255,255,217,212,255,234,198,171,149,139,125,196,251,243,242,241,240,237,235,233,236,240,243,246,247,250,249,254,255,255,216,200,242,218,180,156,139,133,135,230,250,245,242,242,240,238,237,232,236,241,243,246,248,251,250,255,255,229,209,194,214,209,177,160,142,121,163,250,246,246,243,242,241,239,237,231,236,240,242,246,249,251,251,254,240,221,212,212,211,219,200,156,137,117,196,255,245,245,243,242,241,240,238,231,235,239,243,246,249,251,252,252,254,245,244,234,215,211,198,148,129,123,222,252,244,243,243,242,240,240,238
14,150,154,158,161,164,166,168,170,171,172,173,174,175,175,176,176,176,176,176,175,174,174,173,173,172,171,170,170,151,155,159,163,166,168,170,172,173,174,175,176,177,178,178,178,178,178,178,177,177,176,175,174,174,173,172,172,153,157,161,164,168,170,172,174,175,176,177,179,179,180,180,181,180,180,180,180,180,179,177,176,176,175,174,173,155,158,162,166,169,172,174,176,178,178,180,181,182,182,183,184,183,181,175,176,178,179,180,179,179,178,176,176,156,160,164,167,171,173,175,178,179,180,182,184,185,184,185,189,194,186,170,167,165,164,174,180,181,180,179,179,158,162,166,170,172,174,177,179,180,181,184,186,187,187,191,200,200,188,174,167,156,142,142,165,181,182,181,181,160,164,168,172,174,176,178,181,183,184,186,187,188,191,201,205,199,176,165,173,157,135,109,124,170,184,183,183,161,166,170,173,176,179,181,183,185,186,187,189,191,198,202,191,173,133,110,136,139,148,105,84,134,182,185,185,163,167,170,174,178,180,182,184,186,188,190,193,201,207,192,149,116,90,70,75,104,159,131,88,112,175,187,186,166,169,173,177,180,182,184,186,188,190,193,203,214,208,178,135,94,65,53,52,73,143,146,104,100,165,189,188,166,170,175,178,181,183,186,188,190,192,199,214,212,185,146,115,90,64,51,57,88,146,146,117,99,150,189,190,166,171,176,180,182,185,188,189,191,195,211,218,204,169,118,85,72,59,59,95,153,183,173,142,105,140,189,191,167,172,177,181,183,186,189,191,193,207,223,215,196,161,114,77,56,54,89,163,193,190,175,136,96,141,191,194,169,173,178,182,184,187,190,192,203,223,223,210,189,150,112,77,49,59,132,190,199,186,165,129,87,120,186,195,171,175,179,183,186,189,192,198,221,232,221,206,182,148,111,69,46,59,107,156,192,174,152,123,87,95,168,196,172,176,181,185,188,191,194,211,234,232,217,199,175,138,99,64,58,68,78,104,152,150,145,123,95,94,162,197,173,178,182,186,190,193,200,226,236,227,210,192,164,121,86,67,80,91,94,96,107,129,141,121,95,123,183,200,174,179,183,187,190,194,212,234,230,218,201,181,149,112,85,81,98,106,108,108,105,121,129,108,113,171,199,201,175,179,184,187,188,199,227,234,222,208,191,172,141,112,90,93,106,111,110,109,108,110,109,112,162,199,203,202,175,180,185,175,148,178,226,228,212,197,181,162,138,110,92,98,109,109,103,102,102,90,101,157,198,205,205,204,176,181,180,142,97,113,171,200,191,175,158,140,117,92,87,91,100,102,95,93,93,102,150,197,207,207,206,206,177,180,159,106,82,81,97,131,152,145,122,96,75,69,74,77,85,87,86,102,140,176,202,209,209,208,207,207,178,170,125,89,76,73,73,80,88,84,74,61,52,53,56,58,69,83,112,164,201,212,213,212,210,209,208,208,174,143,96,80,72,69,68,69,60,38,36,37,34,33,33,39,84,145,185,209,214,215,214,213,212,211,210,209,154,111,83,73,69,66,65,65,63,37,22,26,25,23,22,26,88,191,215,216,216,215,215,214,213,213,211,211,118,87,74,69,66,63,61,61,63,41,17,20,21,19,19,26,106,203,217,217,217,217,216,215,215,214,212,212,93,77,67,63,60,60,59,58,62,39,14,16,17,16,17,37,148,216,219,219,218,218,217,216,215,214,213,213,88,77,66,56,54,73,68,55,61,33,12,15,15,14,16,52,174,219,220,219,219,218,217,217,216,215,214,213
20,159,162,166,171,174,175,177,180,181,183,184,185,186,186,186,187,187,187,187,187,186,186,185,185,185,183,182,180,160,164,168,172,175,177,179,181,183,185,186,187,188,188,189,189,188,189,189,190,188,187,187,187,187,185,185,182,163,166,170,174,177,179,182,183,185,187,188,189,191,191,190,205,184,173,189,191,191,190,191,190,189,187,187,185,165,168,172,176,179,181,184,185,187,189,190,192,193,193,191,218,181,157,181,171,194,193,193,193,191,191,189,187,167,170,174,178,181,184,187,187,189,191,193,194,195,196,194,220,182,174,194,146,192,195,194,194,194,193,191,190,169,172,176,180,183,185,188,190,191,193,195,195,196,197,196,226,195,180,209,147,188,197,197,196,196,195,193,192,171,174,178,181,184,187,190,192,194,195,196,196,198,199,200,232,196,184,220,157,185,200,200,199,199,197,196,195,172,176,179,183,186,189,192,194,195,197,198,199,200,200,205,231,189,196,221,158,181,203,202,201,200,198,197,196,174,178,181,185,188,191,194,196,198,199,200,202,219,212,192,224,186,204,218,152,180,205,203,202,202,201,200,199,176,180,184,187,190,193,195,198,199,200,203,213,240,222,167,163,167,199,212,151,185,207,206,204,204,203,201,200,178,181,185,188,192,195,198,200,200,208,234,227,191,199,183,154,144,168,187,149,191,209,207,206,206,204,203,201,180,183,187,190,194,197,200,201,201,221,231,221,204,184,205,211,175,133,148,139,194,210,208,207,207,206,204,203,181,185,188,192,195,199,201,203,203,223,206,158,172,135,169,219,192,134,118,125,195,211,210,209,209,208,207,205,182,186,190,193,197,200,202,205,205,226,198,146,131,107,116,195,218,164,115,117,194,213,212,211,210,210,209,207,183,186,191,194,198,201,203,206,206,231,219,186,149,123,126,165,237,197,130,112,194,216,214,213,212,211,211,209,185,188,192,196,199,202,205,207,208,238,229,179,145,134,148,167,243,221,153,112,188,217,215,214,213,213,212,210,186,189,194,198,200,204,207,209,210,240,222,175,152,152,163,200,249,227,172,120,184,218,216,216,215,215,214,212,187,190,194,198,201,204,208,210,212,241,230,190,168,169,183,235,251,219,176,124,184,220,218,218,217,216,215,214,187,191,195,198,202,205,209,212,213,242,238,204,175,186,205,251,249,212,169,127,186,223,220,219,218,217,217,215,187,191,195,199,202,206,210,213,213,241,245,214,188,193,224,253,239,206,165,126,187,223,220,220,219,218,218,217,188,192,196,199,202,206,210,213,213,239,248,219,204,198,234,250,227,200,157,120,184,223,220,220,218,218,218,217,190,194,198,201,204,207,211,215,215,234,249,227,220,209,229,243,218,193,154,114,183,224,221,221,220,219,219,217,191,194,197,201,205,209,212,215,216,226,248,236,228,218,211,225,200,185,146,110,187,226,223,222,222,220,221,219,192,195,199,202,206,209,212,216,218,221,245,243,227,207,192,203,184,182,142,113,201,226,223,224,223,224,212,181,193,196,200,204,207,210,213,217,219,220,243,241,214,183,169,185,179,176,131,128,220,227,225,225,225,199,141,108,179,185,189,193,198,203,207,204,171,150,221,229,195,166,160,187,175,162,111,158,228,226,226,226,196,130,104,92,134,136,139,140,142,144,147,149,94,49,177,228,199,165,167,197,159,136,87,104,163,174,176,174,127,95,88,80,108,113,116,117,115,114,117,129,123,82,134,211,195,168,179,198,136,110,63,45,95,117,121,126,102,78,72,73
21,31,77,93,99,108,122,139,148,157,162,167,170,173,175,178,187,187,188,190,190,193,196,196,196,197,199,199,198,37,81,94,101,110,124,140,150,158,163,167,171,173,183,182,153,187,190,192,194,195,196,198,199,199,201,201,200,44,85,95,103,111,127,143,153,160,165,169,175,170,204,190,102,177,196,193,195,197,199,201,202,202,202,202,203,51,89,97,105,112,129,145,153,161,166,171,176,172,207,192,112,171,200,196,198,197,200,202,202,203,203,204,204,59,91,97,106,115,132,146,154,161,167,172,177,173,207,189,115,163,202,196,200,201,203,205,206,205,209,208,208,65,93,97,107,117,135,147,158,164,168,175,180,174,208,196,125,158,206,197,201,204,205,208,205,157,169,216,209,73,94,99,109,119,138,149,159,166,170,176,180,177,205,198,134,146,209,201,203,206,206,211,188,124,151,220,209,80,94,101,110,121,138,150,160,167,174,178,180,179,204,196,139,132,207,202,205,207,213,207,164,121,200,215,211,84,95,103,110,122,141,152,160,168,174,179,180,180,211,209,142,126,207,202,206,208,216,193,136,154,222,212,215,87,96,104,112,125,145,153,162,169,175,179,183,182,218,215,153,134,209,205,208,210,198,167,126,206,218,215,215,91,98,104,113,127,145,154,164,170,175,179,183,178,206,196,148,129,205,204,211,212,190,129,158,226,215,217,217,92,98,106,114,129,146,156,164,170,177,181,217,177,164,164,127,125,206,206,212,211,172,121,208,220,217,218,218,93,98,108,116,131,148,156,165,173,175,188,225,172,127,120,106,128,189,198,203,196,125,163,226,216,220,219,219,95,100,108,115,132,149,158,166,173,177,216,179,150,123,91,101,131,173,186,182,148,119,216,218,219,220,220,220,94,100,108,116,134,151,159,169,168,214,229,200,168,148,99,90,117,148,164,149,106,173,229,217,221,221,221,221,96,101,110,118,137,149,159,167,174,224,215,236,214,171,113,88,112,126,145,125,120,224,221,221,221,221,221,222,96,102,111,120,138,150,160,163,193,198,196,228,214,144,108,97,102,116,126,103,172,230,220,222,223,223,223,223,95,103,112,121,141,151,164,164,212,208,172,141,175,143,115,101,97,104,107,101,206,225,223,223,223,223,223,223,97,104,112,122,140,151,163,167,215,176,138,122,166,163,124,102,99,96,101,103,211,224,224,225,226,226,225,225,98,106,111,122,141,153,161,177,226,184,177,159,159,188,135,115,105,99,95,105,214,226,224,225,226,227,227,227,98,106,113,123,143,154,160,185,225,198,182,150,222,223,150,140,111,94,93,114,221,225,225,226,226,227,227,227,98,106,114,126,144,154,159,190,237,210,168,184,254,207,157,143,113,95,91,126,228,224,226,226,226,227,227,228,99,108,114,127,143,154,159,191,237,188,168,202,229,181,144,134,119,100,87,155,235,223,226,227,227,227,228,229,101,108,112,127,145,155,162,187,218,181,180,195,218,177,155,124,117,101,89,186,230,223,227,227,228,229,229,229,100,107,112,128,145,156,162,181,200,200,195,191,221,173,166,133,102,99,95,206,228,224,227,227,229,230,230,230,100,106,114,131,145,154,165,173,204,225,179,196,214,161,148,126,100,92,109,218,226,226,229,228,229,230,230,230,99,105,111,130,143,153,165,168,202,216,178,173,192,144,125,107,98,83,130,225,221,226,229,228,229,230,230,230,98,105,109,128,141,153,163,170,188,196,176,174,173,143,126,113,100,78,146,228,218,224,226,225,227,228,229,229
2,165,165,164,165,165,165,164,163,162,160,158,158,157,154,153,151,149,149,147,144,145,145,143,140,139,139,136,133,168,167,168,168,168,168,167,165,165,164,162,160,158,157,156,156,155,153,151,154,149,147,145,144,142,139,138,136,172,171,173,172,172,170,168,167,167,166,164,163,163,163,159,154,144,134,89,111,148,149,151,146,145,141,140,139,174,174,174,174,173,172,171,170,170,169,167,166,159,151,145,134,107,77,30,12,88,108,98,152,147,145,142,140,176,176,176,176,177,175,174,174,173,172,172,165,145,141,134,93,45,16,0,11,52,67,26,135,151,146,146,143,179,179,179,178,178,178,176,177,176,175,172,153,151,128,76,9,0,0,0,0,6,16,0,45,160,149,148,146,181,182,181,181,181,181,179,179,177,177,163,158,134,57,4,0,0,0,0,0,0,0,0,73,165,151,150,148,184,184,183,185,185,185,182,180,181,173,162,156,88,2,0,0,0,0,0,16,14,21,60,153,160,154,153,151,187,186,187,187,186,185,184,183,184,167,164,133,46,0,0,0,0,16,96,161,153,157,168,163,159,157,156,153,190,190,190,190,189,187,186,187,178,164,156,86,6,0,0,0,93,174,177,171,171,169,164,164,163,159,157,155,190,190,190,192,191,191,192,183,162,177,148,66,15,0,0,9,177,177,170,171,171,170,167,166,163,163,160,157,193,192,193,193,192,192,195,162,171,183,134,64,28,5,0,105,187,173,175,175,174,172,168,168,166,165,162,159,194,194,196,195,193,197,185,157,185,168,122,66,23,0,31,187,180,181,180,179,176,174,171,171,168,165,163,163,195,195,197,198,196,199,165,163,195,157,102,49,10,0,77,201,179,184,183,181,177,175,173,172,168,167,166,164,198,197,198,198,199,193,153,183,194,136,91,47,11,0,116,201,182,184,183,181,179,175,172,174,175,172,166,165,201,200,199,198,204,174,163,201,178,112,86,44,3,0,176,192,186,186,184,182,178,180,181,170,151,152,174,166,201,201,200,202,201,158,190,196,148,104,95,40,2,0,121,205,189,185,183,182,190,171,124,95,84,70,105,171,201,200,201,207,181,170,200,173,123,119,90,31,0,0,10,81,186,192,191,187,139,72,63,80,82,48,66,170,203,203,203,204,169,185,188,157,121,115,75,18,0,2,21,7,78,196,150,95,55,52,85,81,39,93,170,172,205,204,208,190,173,184,178,146,118,104,52,4,0,19,24,26,22,47,41,51,69,70,59,25,112,183,175,171,208,207,207,177,181,180,166,131,111,84,38,0,19,35,33,32,32,18,42,58,51,32,18,113,190,177,175,174,208,211,193,182,185,176,153,125,95,71,32,7,35,36,33,32,29,22,29,22,40,106,162,189,180,182,178,176,210,202,184,189,186,173,151,106,73,67,25,17,34,32,27,25,13,0,14,102,174,201,189,181,183,182,181,177,211,184,184,173,178,167,128,85,65,48,12,22,29,31,24,0,18,76,160,203,194,189,188,188,186,184,182,179,193,176,163,168,163,142,98,52,36,16,14,20,20,10,0,46,175,210,201,193,193,192,191,189,185,183,182,180,181,172,150,160,145,127,81,36,27,16,4,0,0,17,106,203,204,197,196,195,195,193,191,191,188,184,183,182,181,162,153,161,153,134,62,34,26,6,32,99,146,193,216,203,200,200,198,196,194,193,192,191,190,186,184,182,175,158,151,160,150,121,44,31,13,40,190,222,216,205,199,201,201,198,198,198,194,192,191,190,187,186,184,181
2,199,199,198,198,199,199,199,198,197,196,196,196,196,194,193,192,191,190,192,190,189,188,188,189,186,184,183,182,200,200,200,200,200,200,200,200,200,199,198,198,198,197,196,196,194,192,193,192,191,190,189,188,187,185,184,184,201,201,202,202,201,201,201,200,201,201,199,200,200,199,197,191,189,192,192,195,196,194,191,188,188,186,186,185,202,203,204,203,203,203,203,202,203,203,201,202,199,204,204,188,180,181,176,172,177,186,197,191,190,188,187,188,204,205,204,204,205,205,205,205,205,204,203,200,212,218,203,195,190,180,174,157,148,126,144,199,192,190,190,187,205,206,205,204,206,206,205,205,205,204,202,212,222,216,212,211,211,190,178,176,145,141,109,161,195,193,190,188,206,207,207,206,207,207,207,207,206,204,209,221,219,223,159,139,169,132,126,178,171,160,138,120,128,176,193,189,208,208,208,208,208,208,208,209,207,205,218,222,207,184,125,84,91,89,89,120,143,127,99,98,91,170,198,190,210,210,210,210,211,211,210,208,211,221,233,185,133,113,97,87,84,92,185,173,181,161,123,108,142,198,193,193,212,213,212,212,211,213,211,213,229,236,220,168,124,97,77,80,81,142,213,205,206,206,201,193,199,196,195,194,212,213,214,213,213,213,211,225,236,230,198,158,130,109,93,78,131,203,202,203,203,200,201,202,199,197,195,195,215,215,215,215,214,207,222,236,230,200,155,125,113,99,85,135,215,205,206,205,203,202,201,202,201,198,196,194,216,217,216,217,209,221,244,235,216,197,148,95,90,95,88,190,212,205,207,206,205,204,202,202,201,198,198,195,217,217,218,210,222,247,242,221,201,197,147,108,93,82,130,217,207,208,209,207,207,206,205,202,202,201,199,197,218,221,214,222,249,245,226,211,212,172,130,106,86,74,194,217,210,209,210,209,207,206,205,204,204,203,198,198,222,219,217,248,249,238,218,221,197,154,128,93,85,75,172,225,210,211,212,210,209,208,211,207,194,197,205,199,222,217,244,253,246,231,217,207,178,148,116,77,82,83,96,201,215,212,212,210,210,213,192,168,164,147,179,205,217,234,255,247,238,222,210,198,172,130,96,78,85,88,81,131,226,210,216,217,216,173,147,166,173,120,158,208,227,255,248,238,226,217,201,187,154,113,90,90,99,100,96,94,190,226,205,169,136,137,160,168,123,151,205,200,255,255,242,232,217,202,190,173,133,108,93,104,114,114,111,97,104,153,121,122,114,137,159,119,130,214,204,203,156,230,241,222,212,193,182,158,131,109,100,116,119,118,110,106,97,106,109,130,138,135,125,82,193,210,206,206,86,110,180,196,189,184,169,157,126,99,103,121,116,115,111,107,104,117,124,128,131,112,82,123,215,207,207,206,95,87,86,133,152,141,135,116,95,93,99,113,110,110,106,106,110,115,117,109,99,118,164,207,212,210,208,207,85,91,86,82,93,97,88,76,82,88,88,101,106,104,94,92,87,87,104,143,183,215,222,215,213,212,210,209,86,84,83,88,84,62,68,74,71,72,77,85,79,75,97,117,126,163,208,225,224,219,215,214,214,212,210,208,85,80,81,78,89,66,43,56,55,54,69,82,107,158,209,226,228,229,224,219,218,218,217,216,215,212,211,210,83,80,79,76,88,81,40,45,51,41,86,205,235,235,230,226,223,222,222,222,221,221,219,217,216,214,213,211,78,76,74,72,80,83,41,41,45,44,38,80,213,230,225,228,227,226,226,224,223,221,221,219,216,215,214,211
19,76,84,91,98,103,103,107,109,114,117,120,124,125,128,131,132,134,134,137,139,141,142,143,142,142,144,143,143,77,86,93,100,102,105,108,111,116,120,124,127,129,132,132,134,137,138,140,140,144,145,143,145,143,146,145,145,78,88,95,101,104,107,110,113,118,122,125,127,133,135,132,137,138,140,142,142,144,142,153,137,144,146,146,146,81,90,97,102,106,109,110,116,121,121,139,133,105,125,141,137,140,143,142,145,139,162,178,74,128,151,146,147,83,92,99,104,108,109,114,118,124,121,176,143,92,67,133,140,139,142,153,155,167,169,102,62,142,151,149,148,83,93,101,107,109,110,114,122,126,119,164,161,108,93,141,157,145,150,165,163,142,89,60,130,154,151,150,150,85,93,102,109,110,110,123,112,117,126,146,160,150,158,150,147,138,121,136,114,68,83,138,157,150,152,152,152,87,95,103,110,104,152,162,120,111,117,133,140,132,117,109,118,103,80,78,82,121,159,156,152,154,154,154,155,88,97,106,107,116,178,133,123,127,135,144,142,131,116,111,93,92,62,138,155,160,153,155,155,154,156,156,155,87,97,108,102,133,155,109,110,120,138,142,138,137,130,104,61,50,84,168,155,155,157,157,155,156,157,158,157,89,97,108,103,158,158,125,125,132,126,114,111,111,88,74,54,34,113,164,155,158,158,157,157,159,160,158,159,91,99,106,114,198,169,146,142,143,135,132,125,104,49,49,52,40,138,163,158,159,159,159,159,161,160,160,159,93,102,106,121,188,161,138,121,112,124,126,118,87,50,46,53,52,150,160,160,163,162,162,162,161,161,162,162,94,103,108,118,167,155,124,100,75,69,85,85,84,53,51,48,83,165,158,161,163,163,164,164,163,163,163,163,94,104,110,116,157,157,124,68,56,23,24,80,94,57,56,50,80,169,160,163,163,163,165,166,166,166,164,163,96,107,113,113,156,160,125,81,44,12,66,93,85,49,48,47,56,158,164,164,165,165,167,167,167,167,167,167,96,106,116,108,157,158,125,91,66,34,33,37,30,29,40,50,53,152,168,165,166,167,167,167,167,168,167,167,97,107,115,107,165,161,127,98,69,56,45,26,28,38,45,51,57,155,168,165,166,168,168,167,167,167,167,167,99,109,116,104,163,160,126,95,72,63,62,44,36,41,49,47,68,164,164,167,169,171,170,169,169,171,169,169,100,108,117,103,152,150,121,93,69,62,59,46,37,45,53,48,97,174,164,169,170,171,170,170,171,171,170,171,101,108,117,108,150,144,116,86,68,61,58,47,43,50,57,48,138,173,167,170,170,171,172,172,172,172,172,172,103,111,116,119,156,138,111,83,65,60,60,54,52,56,45,84,169,166,169,171,172,173,173,173,173,172,173,173,103,113,112,126,161,136,105,78,64,62,64,58,54,49,95,161,167,167,170,171,171,172,173,173,173,173,173,173,104,114,113,132,152,131,108,86,69,65,63,60,45,87,168,164,166,169,171,172,172,173,174,173,174,174,175,174,104,114,114,141,145,122,104,86,67,56,53,54,47,135,166,164,169,170,171,174,174,174,175,174,176,176,175,175,104,114,118,161,139,118,92,74,61,49,47,46,59,151,165,167,170,171,172,175,175,175,177,177,177,177,177,177,105,110,127,165,142,124,100,85,85,55,46,41,73,161,163,168,169,171,172,173,174,176,177,177,177,177,178,178,105,115,123,150,145,127,107,99,92,55,47,38,75,164,162,165,167,170,172,173,174,174,176,176,176,177,177,177
13,225,228,231,233,232,234,236,238,240,240,241,241,242,243,242,242,243,242,242,242,242,242,242,243,242,241,240,239,226,228,233,233,233,237,240,242,242,242,243,243,244,245,245,245,245,244,243,243,242,242,242,243,241,242,243,243,228,231,234,235,238,241,241,243,243,244,244,245,247,248,248,248,248,247,246,248,243,243,244,245,245,244,245,244,231,234,235,237,239,241,243,244,244,246,246,247,250,251,248,250,248,255,255,241,251,244,248,247,247,248,247,246,234,235,237,239,241,242,244,247,246,248,248,248,250,249,250,250,251,255,255,200,217,255,241,250,251,250,249,249,234,238,240,242,243,245,247,248,249,250,250,251,248,253,252,248,255,255,255,184,212,255,206,188,252,250,251,249,237,239,242,243,244,246,249,250,251,251,253,250,254,255,255,232,255,255,255,174,235,255,209,132,211,255,250,251,237,241,244,245,247,249,251,252,252,254,254,246,255,255,255,237,246,244,216,129,239,255,196,124,182,255,251,253,239,243,246,246,249,251,253,253,253,255,255,255,255,255,255,255,192,128,135,119,233,222,141,105,192,255,254,255,241,244,246,249,252,252,253,255,255,252,255,255,246,229,255,255,221,122,113,165,246,208,156,117,198,255,255,255,244,245,247,250,253,253,255,255,255,255,255,255,255,202,255,255,217,152,81,128,255,255,255,171,201,255,255,255,244,247,250,251,253,255,255,255,253,255,255,255,255,238,192,253,203,144,89,158,255,255,255,215,209,255,255,255,246,249,253,254,255,255,255,255,255,255,255,255,255,245,149,214,239,149,157,255,255,255,234,220,185,255,255,255,246,250,254,255,255,255,255,255,255,255,255,255,248,199,122,184,255,191,255,255,255,255,224,198,170,255,255,255,249,251,255,255,255,255,255,255,255,255,255,255,233,197,141,110,236,255,255,255,255,252,216,169,192,255,255,255,251,254,255,255,255,255,255,255,255,255,255,255,219,216,176,144,255,255,255,255,255,228,202,156,218,255,255,255,252,255,255,255,255,255,255,255,255,255,255,255,255,228,255,255,255,255,255,255,253,223,192,148,232,255,255,255,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,213,169,148,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,188,143,188,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,211,155,139,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,245,255,255,255,255,255,231,175,116,188,255,255,255,255,255,255,255,255,255,255,255,216,203,199,191,171,152,147,143,145,151,165,157,158,156,131,142,255,255,255,255,255,255,255,255,255,255,255,255,175,177,176,166,148,141,134,125,114,108,88,76,73,68,66,92,192,255,255,255,255,255,255,255,255,255,255,255,187,175,178,162,148,144,138,124,117,106,95,85,78,69,64,62,46,140,255,255,255,255,255,255,255,255,255,255,196,172,172,158,148,143,134,121,110,101,89,80,73,67,62,69,49,186,255,255,255,255,255,255,255,255,255,255,200,174,170,159,157,146,131,116,106,99,89,78,72,66,66,47,137,255,255,255,255,255,255,255,255,255,255,255,203,168,171,156,154,144,127,110,100,96,87,78,72,67,63,64,255,255,255,255,255,255,255,255,255,255,255,255,202,167,166,156,148,137,121,108,99,96,88,79,71,67,51,123,255,255,255,255,255,255
23,213,214,215,217,218,218,218,219,221,222,224,224,225,222,219,220,221,222,223,221,222,222,223,223,222,223,220,219,214,215,216,218,218,219,221,222,224,224,224,221,222,225,238,248,241,218,217,224,225,223,223,224,224,224,222,221,215,216,217,219,221,222,222,223,225,224,227,235,246,255,255,255,242,228,215,216,179,204,227,226,226,225,224,223,216,218,220,220,223,224,223,225,227,224,255,255,254,245,242,217,176,180,175,158,158,222,227,226,226,227,227,227,218,219,220,221,223,224,226,227,223,233,255,255,216,217,189,162,193,194,185,194,224,229,226,228,228,228,228,227,219,219,221,224,225,226,228,229,221,243,255,251,195,155,173,212,233,233,234,234,229,228,228,230,229,229,228,228,221,220,223,226,226,227,230,230,223,255,255,248,205,177,236,234,242,243,220,229,229,231,231,232,231,230,230,229,222,223,226,226,227,229,230,230,229,255,255,255,195,184,255,255,255,255,186,224,243,232,232,233,234,233,233,232,223,226,227,227,228,231,233,226,240,255,255,255,213,253,255,255,255,239,169,164,193,232,235,234,234,234,233,233,225,227,228,229,230,232,234,225,255,255,255,255,255,255,255,255,243,229,232,189,119,189,242,232,233,235,234,233,227,228,230,231,232,232,233,230,255,255,255,255,255,255,255,255,255,255,255,226,143,152,246,236,238,237,236,236,228,230,232,233,234,234,230,255,255,255,255,255,255,255,255,255,255,246,229,196,145,129,202,243,237,240,238,237,229,230,233,233,235,229,254,255,255,255,255,255,255,255,255,255,244,230,232,215,141,126,147,239,240,240,239,239,231,232,235,235,235,229,255,255,255,255,255,255,251,255,255,253,244,238,241,225,149,120,156,246,240,241,241,241,232,233,235,238,237,235,255,255,255,255,255,255,255,255,250,245,233,228,224,194,151,119,192,251,240,242,242,242,233,234,235,238,243,238,253,255,255,255,255,255,255,246,213,215,206,196,183,182,149,136,230,249,243,243,243,242,235,236,236,239,243,239,249,255,255,255,255,255,255,233,186,155,140,144,176,181,143,163,252,246,246,245,243,243,236,238,239,240,242,240,246,255,255,255,255,255,245,219,192,160,72,113,182,179,139,197,255,246,247,247,246,245,237,239,240,241,242,242,244,255,255,255,255,255,255,255,189,118,92,144,172,158,134,225,253,246,248,249,248,245,239,240,241,242,243,243,243,255,255,255,255,255,255,248,186,118,113,158,144,132,154,253,249,248,249,249,248,248,240,242,241,243,246,246,244,255,255,255,255,255,255,232,189,149,109,126,133,135,170,255,247,249,250,251,249,249,240,243,243,244,246,249,244,255,255,255,255,255,255,234,188,159,108,120,145,136,187,255,249,251,251,253,251,250,241,243,243,246,247,249,245,255,255,255,255,255,255,234,190,165,128,131,152,136,214,255,251,253,253,254,253,253,241,243,245,247,248,250,245,255,255,255,255,255,255,237,195,168,138,141,154,142,241,255,252,254,254,254,254,253,242,243,246,247,249,251,245,255,255,255,255,255,255,227,192,165,146,144,144,168,255,252,254,254,255,255,255,253,243,245,247,248,249,253,247,255,255,255,255,255,242,217,184,163,154,149,133,223,255,254,255,255,255,255,255,255,245,247,249,249,249,254,249,255,255,255,255,247,225,198,176,167,159,138,165,255,255,255,255,255,255,255,255,255,247,248,250,250,251,255,250,255,255,255,255,244,224,199,177,165,155,147,242,255,255,255,255,255,255,255,255,255
5,158,158,158,158,159,159,159,158,158,157,157,157,156,155,154,153,152,150,149,147,147,146,145,143,142,142,140,140,162,162,162,162,162,162,161,162,162,160,159,159,158,157,157,156,155,153,151,150,149,149,146,145,143,143,142,141,166,166,166,166,165,166,166,165,166,165,163,163,162,161,158,159,153,151,155,152,151,151,150,147,146,145,143,141,169,169,169,168,168,169,170,169,168,168,167,166,164,161,161,166,124,134,159,156,154,153,151,150,148,146,145,142,172,172,173,173,175,161,167,174,171,171,170,169,170,159,143,115,96,146,161,158,158,157,155,152,151,149,148,145,175,176,178,177,188,136,141,179,176,174,173,180,165,122,105,124,151,165,164,162,161,160,158,156,154,152,150,148,180,180,181,180,184,116,138,183,179,172,176,166,121,111,158,171,170,168,164,163,165,163,161,159,157,155,152,151,184,183,183,184,172,112,158,186,176,157,145,113,115,143,127,129,129,130,129,128,147,160,161,162,160,158,156,155,187,187,187,186,160,114,174,189,173,134,103,106,159,108,91,99,116,128,129,128,128,143,129,158,163,161,159,158,190,190,191,189,169,115,161,191,168,123,99,112,127,96,91,87,94,95,89,98,104,107,115,162,165,163,161,159,193,193,193,192,173,117,146,193,160,119,96,94,103,100,78,64,61,59,62,69,75,83,136,164,169,166,163,162,195,196,196,194,170,124,115,179,154,111,80,78,87,81,63,66,73,74,89,93,114,127,124,118,158,170,166,164,197,199,199,198,166,137,129,131,128,110,90,75,68,56,61,78,72,101,133,141,156,139,128,121,123,165,169,167,200,200,201,202,193,158,149,138,116,113,96,73,69,61,62,72,110,177,188,186,180,160,161,149,122,167,171,170,202,202,202,203,203,188,159,165,157,128,90,67,61,67,66,129,185,191,189,186,161,158,157,121,146,176,172,171,204,204,204,205,205,206,184,174,172,143,103,64,60,60,92,191,196,193,192,171,142,155,129,116,175,179,176,174,205,205,206,207,207,208,201,175,180,154,114,68,61,63,99,169,185,196,181,155,145,134,93,151,185,181,179,176,206,207,207,208,209,210,206,182,185,163,122,78,64,78,83,103,125,149,144,146,134,99,126,183,185,183,181,179,208,208,209,209,210,210,208,179,190,171,128,87,67,80,84,99,120,113,120,133,105,125,186,188,186,184,182,180,209,209,211,210,210,210,210,180,193,172,130,100,71,75,85,99,118,118,100,98,115,185,193,190,187,185,183,181,212,211,212,213,212,212,211,181,194,172,136,111,77,71,87,103,114,106,80,90,176,197,194,192,189,187,185,183,214,213,214,214,214,215,211,184,190,170,141,114,80,67,88,101,103,85,80,167,200,198,195,194,192,189,187,185,215,214,215,216,215,216,212,184,180,164,139,115,82,66,85,90,86,66,131,203,201,199,197,196,194,191,188,186,216,215,216,216,217,217,212,183,176,162,136,114,81,67,80,83,72,85,189,205,203,201,199,198,196,192,189,188,217,217,217,217,218,219,209,185,178,161,136,111,80,68,73,69,72,162,208,206,204,202,201,199,196,193,191,189,217,218,218,218,220,220,206,190,181,164,140,104,74,64,61,76,158,209,208,207,205,203,201,200,197,195,193,190,217,217,218,219,220,217,201,189,180,166,135,93,68,59,100,181,212,212,209,208,207,204,202,201,199,195,194,192,216,217,217,219,218,212,191,174,174,158,123,82,66,73,184,215,210,211,209,207,206,204,201,200,199,196,194,193
2,179,179,179,179,179,179,179,178,177,176,176,176,176,174,173,172,171,170,171,170,169,168,167,168,166,163,162,161,180,180,180,180,180,180,180,180,180,179,178,178,178,177,176,174,173,171,172,172,171,170,168,168,166,165,163,163,181,181,182,182,182,181,181,181,181,181,180,180,180,179,177,171,169,172,172,173,173,172,171,168,168,166,165,165,182,183,184,184,183,183,183,182,183,183,181,182,181,183,184,170,162,161,155,151,156,164,170,171,170,168,167,167,184,185,184,185,185,185,186,185,185,184,182,182,192,196,183,175,170,159,152,139,128,110,127,171,171,170,170,167,185,186,185,185,186,187,186,185,185,184,184,193,201,197,189,185,183,167,154,151,124,118,92,140,166,170,170,168,187,187,187,186,187,187,187,187,186,184,190,199,200,195,140,123,137,114,107,145,145,132,111,100,107,156,169,170,189,189,189,189,188,188,189,189,188,187,198,200,182,157,104,67,70,68,74,103,122,108,84,77,78,151,173,170,191,191,190,191,192,191,190,189,193,201,208,164,116,93,74,60,63,72,157,155,160,139,103,91,119,171,173,172,192,193,193,192,192,193,191,195,210,214,197,148,104,74,56,54,67,119,181,182,182,180,176,170,174,175,174,173,193,194,195,194,194,193,193,206,215,208,175,135,104,82,67,60,110,175,183,184,183,181,181,181,179,177,175,175,196,195,195,195,194,191,203,215,209,179,136,104,89,74,68,114,181,186,186,186,183,183,181,182,181,178,176,174,197,197,197,196,193,204,222,215,197,175,127,76,67,69,72,166,188,187,187,186,185,184,183,182,181,178,178,175,198,198,198,194,205,225,221,203,183,172,123,85,66,64,108,188,190,189,189,188,187,186,185,182,182,181,179,176,199,201,197,205,227,225,209,193,189,151,109,81,60,55,167,193,192,189,190,190,188,187,186,184,183,182,179,178,202,201,201,227,230,219,201,199,175,134,104,69,59,57,147,194,193,191,192,191,190,189,188,184,175,175,181,179,203,201,224,233,228,212,198,186,158,124,91,54,56,60,79,174,194,193,193,192,191,188,170,150,142,128,160,180,202,217,234,229,219,203,190,177,148,107,74,54,60,61,66,110,194,194,194,192,188,152,132,144,143,111,142,180,211,235,230,221,208,197,182,165,131,91,68,66,73,75,72,77,166,194,181,148,118,119,136,138,108,134,178,181,228,235,225,213,198,183,169,151,113,85,70,80,88,89,84,77,85,126,103,102,97,116,127,103,115,182,185,183,139,203,215,203,190,175,161,136,107,85,77,91,93,93,86,80,75,88,89,105,111,108,98,70,168,186,187,186,72,94,155,170,167,160,145,130,101,76,78,95,92,91,87,81,80,91,97,103,103,91,74,102,186,189,187,186,66,66,70,109,126,118,110,91,72,69,73,87,87,85,82,79,82,88,94,92,84,99,143,181,191,190,189,188,60,63,61,62,70,72,65,54,57,62,63,74,79,76,71,74,70,71,86,123,162,188,194,195,194,193,190,189,60,59,58,61,58,39,42,46,44,47,52,62,61,61,77,94,107,143,182,197,199,199,197,195,194,192,191,189,59,54,55,54,59,41,20,28,28,29,41,61,89,137,184,199,201,202,202,202,201,199,198,197,195,193,192,190,57,54,53,51,60,53,14,18,22,20,66,170,202,208,208,207,206,205,204,203,202,202,200,198,196,195,193,191,53,49,49,47,54,55,15,14,17,16,18,60,188,209,208,209,208,207,206,205,204,202,202,200,197,196,194,192
6,174,176,179,180,182,185,187,188,191,193,194,195,196,196,197,200,199,199,199,198,199,200,201,202,202,202,201,201,176,177,178,180,182,185,188,190,192,193,194,195,197,196,198,200,199,200,201,200,200,201,201,201,201,202,202,201,176,177,179,181,184,186,188,189,191,192,194,195,198,198,198,199,199,198,200,201,199,200,200,200,201,202,202,201,177,178,179,183,186,187,188,192,193,193,195,197,199,201,200,200,201,202,202,201,200,200,202,201,202,206,203,201,178,180,182,185,187,188,190,193,194,195,197,199,199,198,195,186,171,175,185,179,177,174,156,186,193,187,203,202,179,181,183,187,188,189,192,193,195,195,197,200,200,198,195,178,151,155,170,172,164,159,146,157,177,148,202,203,180,180,182,187,189,190,193,193,194,196,204,209,205,201,185,162,149,137,134,139,133,133,132,130,133,165,209,204,181,183,184,187,189,191,195,198,199,204,201,191,180,163,142,123,121,133,136,142,157,166,173,180,191,208,205,205,182,184,187,189,188,194,204,192,182,177,177,171,169,162,150,130,142,175,191,212,212,215,215,212,210,208,207,206,185,186,187,190,188,217,214,175,156,156,161,168,175,177,173,168,159,152,136,199,212,209,210,209,209,209,209,208,185,187,188,191,190,230,202,171,171,163,158,152,153,157,157,152,144,142,111,182,219,210,212,211,211,211,210,210,185,186,191,193,192,230,196,187,198,175,160,162,159,166,169,161,145,134,123,198,217,213,213,213,213,213,213,212,187,187,190,192,198,230,215,225,210,176,155,156,157,160,161,158,154,149,132,167,224,214,214,214,215,215,214,213,187,188,192,191,205,231,227,224,207,192,181,161,143,130,140,145,140,135,128,108,183,222,215,215,215,216,216,215,188,189,194,191,213,231,224,219,218,216,200,171,154,149,159,156,138,127,126,95,133,227,216,217,216,217,217,216,189,190,194,190,222,234,228,226,227,213,199,182,162,153,159,153,145,135,139,105,159,226,216,217,216,218,219,217,189,191,193,193,227,232,227,228,225,213,201,176,162,160,157,155,149,144,130,149,218,218,218,217,217,219,219,218,189,192,193,196,232,228,227,225,223,209,184,172,164,162,149,144,148,144,125,200,225,217,219,218,218,219,219,218,191,193,194,200,236,227,225,224,217,185,175,176,165,146,135,98,122,131,137,219,219,219,220,221,221,221,221,218,191,194,192,207,231,223,223,221,204,173,168,175,163,127,95,82,106,119,182,225,217,219,220,222,222,221,220,218,193,194,191,213,226,219,220,210,185,164,174,171,147,131,98,106,143,181,222,221,222,222,222,222,221,221,221,220,193,196,193,219,222,213,214,200,179,166,180,168,145,128,105,130,226,225,220,222,222,222,223,222,222,222,223,221,194,198,194,220,217,215,207,191,175,180,187,163,144,127,105,157,232,219,223,223,224,224,223,223,222,223,223,221,194,196,191,215,217,206,192,188,173,185,179,154,138,123,114,203,228,223,223,224,225,224,223,224,224,225,223,222,194,197,193,208,209,202,191,177,173,186,167,147,134,113,163,230,221,225,224,225,225,225,225,225,225,223,222,222,195,197,188,215,214,199,191,170,177,180,160,146,122,140,224,226,225,226,226,226,226,226,225,225,224,223,224,223,195,191,190,219,209,196,185,171,178,170,150,138,114,192,233,225,228,228,228,226,225,227,227,225,224,225,225,223,197,189,194,211,200,181,173,174,169,160,141,128,119,210,228,227,228,228,229,228,227,229,227,227,225,224,225,224
0,191,192,192,192,191,191,191,191,190,189,188,189,188,187,186,185,185,184,182,182,181,180,179,178,177,176,174,174,192,193,192,193,193,192,192,192,191,189,189,190,189,189,187,187,186,185,185,184,182,180,179,178,177,176,176,176,192,193,193,193,194,194,194,193,192,191,190,190,189,189,189,188,185,185,184,183,183,182,180,179,178,177,176,175,194,194,194,194,195,195,195,194,193,192,192,191,194,194,189,191,191,187,183,183,182,183,182,181,179,178,176,176,194,196,196,197,196,195,194,194,196,196,192,180,153,163,194,175,161,177,191,187,188,186,181,183,181,180,178,176,196,197,197,197,196,194,194,187,168,177,190,162,133,106,148,150,122,104,168,162,149,172,187,177,180,180,179,178,197,197,197,197,196,196,195,178,150,128,157,174,136,105,115,160,130,98,98,135,106,91,163,150,148,185,178,178,198,198,197,197,196,197,196,192,170,144,117,171,144,113,114,164,137,104,102,150,125,80,101,148,120,187,178,178,198,198,198,198,196,200,193,185,176,153,106,156,150,116,114,164,139,104,93,145,126,87,77,139,113,179,182,180,200,199,199,199,197,202,189,153,177,137,96,158,147,110,107,156,130,96,77,126,110,79,74,139,101,149,189,180,200,199,200,199,198,198,165,129,171,120,93,151,126,90,101,144,118,85,81,139,119,69,78,145,124,104,179,183,200,199,200,200,201,198,178,151,169,130,107,144,126,88,99,146,118,75,118,160,126,62,83,144,137,94,134,192,200,202,201,200,203,195,174,151,154,138,110,149,144,90,115,161,130,79,143,167,101,56,124,153,136,86,122,192,201,203,203,202,198,173,146,130,117,104,98,160,142,86,123,167,134,83,57,87,51,91,157,155,122,75,162,186,203,203,203,203,199,176,149,125,100,90,86,115,120,82,78,121,103,78,84,54,75,150,157,144,90,111,192,182,203,202,204,200,192,174,153,125,104,103,105,98,106,103,89,93,125,153,160,144,130,153,143,117,76,168,189,182,204,204,204,200,192,178,156,130,107,100,106,113,129,140,146,161,171,162,151,152,126,129,132,83,104,195,183,185,204,205,205,203,195,179,158,139,116,106,108,121,150,162,173,175,169,156,147,141,116,109,114,64,157,193,185,185,204,205,205,202,197,179,163,145,125,124,112,145,177,176,177,173,164,151,143,137,107,95,75,96,196,188,188,185,205,205,205,202,200,184,168,152,139,137,141,174,183,179,179,172,159,147,137,123,97,70,75,178,192,188,189,187,205,205,205,203,201,186,172,160,149,143,169,178,181,183,178,163,154,139,125,109,73,66,173,195,188,189,188,188,205,206,206,200,198,190,177,164,151,148,177,178,183,182,170,152,141,130,114,85,58,165,198,188,191,191,189,187,205,206,206,200,196,192,180,168,152,147,175,179,176,171,156,140,127,117,92,57,154,202,189,192,191,192,190,189,206,207,207,202,196,194,184,176,162,149,171,177,166,157,143,127,112,89,55,144,204,192,194,193,191,192,190,189,206,206,208,204,200,190,184,177,169,156,168,168,156,143,133,115,87,55,141,204,193,196,194,193,192,191,190,190,205,205,208,203,196,188,193,189,177,163,164,159,141,131,121,90,54,147,208,195,196,197,195,194,193,191,190,190,206,206,207,201,199,187,195,190,172,160,155,151,131,114,100,63,149,210,197,199,199,197,196,195,193,192,191,190,208,208,205,199,192,179,191,179,166,159,150,136,121,105,71,112,212,198,200,198,199,197,196,195,192,193,193,191
15,97,93,91,90,92,95,96,96,99,110,124,138,147,157,165,169,170,175,179,185,191,195,200,203,205,207,212,213,96,92,91,91,91,94,97,97,100,112,125,139,148,158,166,171,171,175,181,187,192,196,201,204,206,209,212,215,96,92,91,91,91,94,99,97,101,113,126,139,149,158,166,171,172,176,182,187,193,197,203,206,208,212,214,217,96,93,91,90,94,93,92,95,100,114,128,139,150,160,166,171,173,177,182,188,193,200,205,207,210,213,214,218,96,93,92,93,90,97,130,110,105,114,129,140,150,160,170,174,174,176,182,189,195,200,205,208,211,213,215,218,97,94,94,94,79,186,191,148,141,137,132,133,150,159,161,162,171,179,188,192,197,199,204,208,212,213,216,220,98,95,93,92,83,179,163,135,136,135,119,134,138,141,136,130,135,143,158,179,196,205,211,212,211,213,218,221,98,94,93,93,87,107,121,101,108,100,95,130,120,121,116,130,144,133,132,137,151,163,178,199,220,215,219,221,98,94,92,91,93,92,93,93,96,91,94,103,97,96,96,134,141,135,138,142,145,137,118,116,157,227,219,222,98,95,92,90,93,96,96,96,103,116,130,129,130,127,114,123,120,119,110,133,159,150,131,127,90,156,234,220,98,96,92,91,92,93,94,94,102,118,131,147,156,165,170,156,119,102,130,162,165,161,128,139,131,78,182,238,98,94,90,91,92,93,94,93,103,118,133,143,153,176,177,156,136,142,210,160,172,142,150,162,140,114,90,207,98,92,91,91,92,92,94,94,103,119,130,148,206,189,146,126,122,118,197,136,124,152,195,147,169,150,94,98,96,93,89,88,89,91,91,92,102,120,121,185,228,143,117,123,127,92,127,102,89,222,163,140,185,163,121,77,95,92,89,89,89,89,91,91,100,120,121,178,198,120,121,145,152,143,116,86,111,197,109,128,187,174,132,93,95,92,89,87,87,88,89,90,103,121,122,166,176,98,135,155,164,155,119,105,116,122,117,143,167,158,127,93,92,90,87,87,87,88,89,90,103,120,121,172,226,128,124,157,170,152,108,100,114,117,134,144,132,109,101,88,91,91,87,87,86,89,89,89,101,119,122,174,195,215,166,127,123,110,95,105,112,115,123,135,127,88,81,83,92,90,87,86,84,86,89,88,99,120,118,222,199,185,205,149,103,61,65,98,116,121,131,147,128,89,82,82,93,89,85,86,85,87,88,89,99,117,126,169,189,205,191,176,149,84,27,40,69,130,130,134,109,86,85,86,81,78,76,75,75,76,78,80,92,108,125,135,147,173,164,167,141,127,64,41,55,124,146,121,100,95,98,98,138,132,128,124,120,114,113,115,122,131,138,147,156,160,141,129,147,180,118,48,75,89,143,155,137,124,114,106,142,137,136,136,133,134,138,138,133,131,128,126,131,136,138,135,137,211,140,78,97,79,97,124,124,113,101,93,124,123,123,121,120,122,124,122,122,123,117,112,117,120,122,126,114,143,121,124,130,122,118,105,93,93,89,84,130,131,132,129,129,130,132,132,130,131,131,129,132,133,133,134,135,130,133,133,137,136,147,147,116,95,88,82,131,133,135,133,132,131,132,132,132,133,133,133,132,133,130,133,134,134,134,135,131,130,147,161,142,119,97,106,132,134,135,134,134,131,133,135,134,135,134,135,135,134,132,133,134,134,135,134,133,132,127,144,193,130,134,144,132,132,133,131,132,132,132,133,132,133,133,133,135,133,133,135,136,135,134,134,133,133,131,131,237,221,191,179
1,56,80,83,91,101,119,130,140,145,148,152,153,156,161,165,165,167,173,171,172,174,176,175,177,178,178,178,178,62,80,84,93,103,123,133,140,146,150,154,155,158,163,163,179,151,136,179,176,174,177,178,178,179,179,179,178,67,80,86,94,104,124,134,141,147,151,155,157,162,165,166,193,138,103,159,154,180,178,179,180,180,180,180,180,72,81,88,95,107,126,134,142,148,153,156,158,161,172,152,186,136,124,152,114,182,179,180,181,182,182,181,181,74,81,89,96,109,129,137,144,149,154,157,159,164,184,129,178,131,134,165,110,174,182,182,183,183,183,183,183,76,83,89,97,112,131,139,145,151,155,159,156,176,175,128,185,134,137,168,106,168,186,183,184,185,185,185,184,78,85,90,98,114,132,139,147,151,156,161,158,182,165,120,180,129,139,174,112,166,189,185,186,186,186,186,186,80,85,91,101,117,133,141,148,153,154,175,154,163,156,122,183,130,136,167,109,164,191,186,188,188,188,188,187,80,85,92,101,119,132,142,150,153,157,186,126,163,141,144,189,124,140,178,108,163,193,187,189,189,189,189,189,81,87,94,102,122,133,142,151,151,169,180,112,167,128,166,185,116,157,191,111,164,194,189,190,190,190,192,191,82,86,95,105,125,135,142,152,150,187,163,115,181,129,154,160,100,162,177,109,169,195,191,192,192,192,192,192,83,88,96,107,125,136,144,152,154,196,144,115,171,107,144,142,96,174,168,104,175,195,192,193,193,193,193,193,83,90,97,108,127,136,146,150,163,200,135,107,156,145,147,154,169,178,161,103,179,195,194,195,194,194,194,194,85,91,98,110,129,137,148,147,179,193,131,122,163,187,145,160,169,164,148,101,182,196,194,196,195,195,195,195,85,91,99,112,131,139,148,147,192,193,175,165,183,184,176,165,148,142,128,100,181,197,194,196,197,198,197,197,86,92,99,113,131,140,147,154,206,177,164,166,158,149,190,192,178,150,123,97,182,198,195,198,198,199,198,198,88,94,100,114,132,142,143,176,206,158,135,128,112,111,183,184,179,165,136,97,183,198,196,198,198,199,200,199,88,94,101,117,134,143,141,191,196,152,148,154,140,174,199,188,165,148,125,84,168,204,198,199,200,200,201,200,88,94,101,120,136,143,143,196,201,167,150,154,180,223,204,178,157,123,108,80,136,209,198,201,201,201,201,201,88,95,101,120,134,144,145,193,213,181,161,155,186,227,208,174,150,116,95,81,121,209,198,202,202,202,202,202,89,96,102,121,133,143,146,185,214,181,167,158,180,219,199,173,141,115,93,76,145,210,199,203,202,202,203,203,90,97,105,123,135,145,148,178,210,180,173,161,168,206,191,164,133,111,92,88,189,206,202,203,204,204,205,205,90,97,105,124,136,144,150,168,205,186,183,172,183,200,173,147,123,106,82,130,210,203,205,204,206,206,206,206,90,98,106,126,135,144,153,160,191,187,181,168,182,186,158,134,116,101,82,172,209,204,205,206,207,207,207,207,91,97,106,127,137,147,154,157,180,184,177,165,156,162,148,127,118,97,92,194,207,206,207,208,208,208,208,208,90,95,105,124,134,145,153,156,168,181,175,164,155,156,154,138,118,89,107,204,202,204,206,207,208,208,207,207,89,94,105,124,132,142,152,157,170,186,182,173,166,155,154,142,114,83,132,209,200,203,205,206,206,207,207,207,88,93,105,124,132,143,152,155,199,186,178,183,167,153,135,127,110,76,134,210,199,204,206,207,207,207,208,208
17,101,105,107,112,113,114,115,117,120,121,122,123,125,128,127,129,130,129,130,130,131,132,130,129,129,130,130,128,105,107,110,114,115,118,119,121,121,122,123,125,127,127,130,129,131,130,131,133,133,133,132,130,131,130,129,128,108,113,114,117,119,121,123,124,124,124,127,125,147,105,105,138,132,133,133,134,134,135,134,132,132,132,131,130,113,116,119,123,124,125,126,127,129,130,128,139,140,69,72,143,134,137,136,136,136,136,136,135,134,134,133,132,119,122,125,127,129,129,130,131,133,134,133,143,157,64,69,149,136,140,139,139,140,139,140,139,137,138,137,136,123,127,129,131,134,135,136,137,137,138,136,151,176,99,56,142,141,143,143,142,143,143,143,143,141,139,140,140,128,132,135,137,140,140,140,141,143,145,141,160,180,120,39,115,153,145,147,147,147,147,148,148,146,143,141,141,133,137,139,141,144,145,145,146,149,151,145,170,171,137,63,85,160,148,151,150,151,152,152,151,149,147,145,146,137,141,144,147,149,149,150,152,153,154,147,183,148,157,89,60,157,156,155,156,156,156,155,154,153,152,150,150,142,146,149,152,153,153,155,156,156,157,158,187,126,171,104,51,149,163,159,161,161,159,159,159,157,155,154,153,145,149,152,157,158,158,160,160,160,158,153,192,139,186,141,59,134,171,163,164,165,165,163,162,161,160,158,157,149,152,156,159,160,161,163,164,166,171,137,106,109,176,156,72,115,176,165,168,168,167,166,164,164,163,162,161,153,156,160,162,163,164,165,164,181,193,155,95,46,126,153,78,98,180,167,172,172,172,170,168,166,166,165,164,156,158,162,164,166,167,169,169,176,145,142,141,110,88,100,73,81,182,171,173,175,174,173,173,170,169,167,166,158,162,165,167,170,170,171,174,180,116,123,158,172,136,54,44,68,180,175,177,177,177,178,176,174,172,170,171,161,166,168,172,172,172,171,178,204,186,114,127,155,116,43,30,46,167,182,180,180,180,179,178,178,175,173,173,164,167,171,174,174,174,181,168,119,203,139,59,134,123,56,31,26,141,191,181,182,183,182,181,180,179,178,175,165,169,174,175,176,177,191,151,73,115,149,24,82,162,75,32,15,127,196,183,185,185,184,184,183,182,181,179,168,173,175,177,178,182,195,166,107,60,130,68,72,186,100,45,11,121,201,184,187,187,187,185,183,183,182,181,171,174,178,181,180,186,183,116,71,38,104,99,107,197,124,70,14,125,203,186,189,189,189,187,185,185,184,184,173,175,180,183,182,189,174,133,88,79,76,121,167,177,130,87,22,138,202,187,190,191,189,189,190,189,187,185,175,178,182,185,184,196,191,125,109,101,106,209,187,142,108,79,28,166,199,191,193,192,190,190,190,190,189,188,177,180,183,186,188,212,173,142,132,83,144,207,148,127,98,57,40,186,197,195,195,195,194,193,191,190,189,189,179,181,184,187,190,215,189,169,104,99,161,185,131,125,97,42,49,198,198,198,198,197,196,196,194,193,191,190,180,183,187,187,192,209,207,137,131,98,194,184,130,120,83,33,65,206,198,199,199,198,198,197,196,196,193,191,181,184,187,190,191,192,191,146,137,114,212,177,126,101,68,25,85,211,198,200,200,200,199,198,196,196,195,193,181,185,187,191,189,182,178,162,124,121,206,159,105,74,52,18,122,213,200,204,202,201,200,199,198,197,197,197,182,188,189,190,195,180,157,161,126,125,186,139,89,56,39,31,177,208,202,204,203,202,203,202,200,199,198,198
21,198,201,203,205,208,209,211,211,212,212,212,212,211,211,210,209,207,206,206,206,203,201,201,199,197,197,194,194,200,202,205,207,209,211,212,214,215,215,215,215,215,213,213,210,213,209,207,207,207,204,202,201,201,199,197,195,201,204,207,209,210,213,215,216,217,217,216,217,216,216,215,212,190,208,212,209,208,206,204,204,203,201,200,197,202,205,208,208,211,215,218,218,219,218,218,218,218,217,218,226,136,179,219,211,211,208,205,205,204,203,203,201,203,207,210,210,214,216,219,219,220,219,219,219,220,216,225,216,131,187,220,210,211,213,210,209,207,205,204,204,204,208,211,212,215,218,219,220,220,221,221,222,223,216,234,207,135,203,220,213,212,195,205,212,209,208,205,203,206,209,212,215,217,218,220,222,223,223,225,224,223,219,241,202,141,213,219,217,200,143,165,219,208,209,208,206,208,211,215,217,219,220,223,224,225,225,225,226,224,225,244,191,147,221,220,212,190,134,179,218,209,210,209,208,208,212,216,218,220,223,224,225,226,226,228,226,223,230,238,179,146,225,220,207,180,136,211,215,212,212,210,209,209,213,217,219,222,224,225,226,227,228,227,229,228,238,232,161,151,230,213,205,162,161,224,214,214,213,212,210,212,215,218,219,223,225,227,226,229,230,229,194,192,255,228,146,178,229,198,194,137,194,224,217,216,215,213,212,212,215,218,220,224,226,227,229,232,229,237,196,138,179,179,127,197,219,202,164,143,224,220,219,218,216,215,214,212,217,220,222,225,226,228,232,230,235,237,233,197,154,121,121,209,208,198,135,186,230,221,220,218,218,215,214,214,218,221,224,226,228,230,230,236,248,235,254,239,174,122,123,158,170,159,140,224,224,224,223,221,219,217,215,215,219,223,225,228,230,232,233,248,199,222,222,222,168,127,119,125,135,121,183,234,224,224,223,223,220,218,216,217,219,224,227,230,232,230,244,238,178,191,155,211,193,139,118,117,121,134,225,229,226,224,224,224,223,219,217,217,221,225,228,231,233,232,250,233,192,149,109,191,214,153,122,115,111,175,240,228,228,227,227,225,224,222,219,218,223,227,229,232,233,237,252,203,168,155,123,199,227,172,138,120,111,206,238,229,229,229,228,226,223,222,220,220,225,227,230,233,232,246,251,208,196,163,187,255,219,190,157,124,113,211,239,231,231,229,228,227,226,224,221,220,224,226,231,235,232,253,253,224,182,176,255,248,200,185,158,130,126,218,239,234,233,229,230,229,228,225,224,221,225,227,232,235,234,255,255,217,181,218,255,228,191,167,158,134,137,231,237,234,233,233,233,231,228,225,224,222,226,229,232,234,234,255,250,207,199,230,255,226,202,157,143,131,157,242,235,234,234,233,232,230,228,226,225,223,226,230,232,236,236,255,233,235,199,236,255,217,194,161,137,127,185,246,237,237,235,234,233,231,230,227,226,219,224,227,230,235,237,246,252,252,199,250,241,202,174,152,141,131,212,244,237,236,235,235,234,232,229,228,225,219,223,227,231,235,236,242,254,239,192,229,223,185,156,142,134,144,232,241,236,234,233,233,232,231,228,227,224,220,224,227,231,236,237,244,240,218,194,209,212,182,161,145,126,166,245,238,239,236,234,235,233,231,229,227,225,220,224,228,232,235,239,243,235,215,216,215,210,205,162,141,119,187,247,238,240,236,235,235,234,232,230,228,225,220,224,228,231,235,238,240,240,243,241,222,202,202,160,132,119,206,247,239,239,236,236,234,233,232,231,228,226
1,134,134,135,135,136,137,137,136,138,137,136,137,136,136,135,132,132,134,131,127,126,126,124,123,122,120,117,115,140,139,139,140,140,141,141,141,141,141,140,140,140,139,138,139,135,121,132,132,131,130,130,126,125,123,120,119,144,144,144,143,144,145,145,145,146,145,144,145,143,142,139,131,148,78,109,149,133,134,132,130,130,126,124,123,149,148,148,148,148,149,149,148,149,148,148,149,147,146,153,87,127,87,67,119,140,137,135,133,132,130,127,127,152,150,151,151,152,153,153,152,152,153,153,153,151,152,156,70,121,81,19,50,116,146,138,137,135,133,131,128,155,155,155,154,155,155,155,156,155,155,157,157,157,160,142,60,133,59,49,78,83,154,138,140,139,136,133,132,157,158,158,158,158,158,160,160,158,156,159,153,121,159,128,65,150,61,73,92,66,156,142,143,141,140,137,134,162,162,162,162,163,163,164,163,163,162,161,154,75,136,126,83,143,47,86,101,68,158,146,147,144,142,141,138,164,165,164,165,167,164,164,164,165,163,164,149,66,139,95,104,128,43,116,109,69,159,149,150,147,145,144,141,168,167,168,167,167,167,166,166,167,165,172,135,66,145,78,123,128,60,142,95,67,163,150,152,150,148,147,144,170,170,170,170,171,171,171,171,171,169,173,123,61,157,82,125,134,58,137,92,74,166,152,154,153,151,149,146,172,171,172,173,172,173,174,173,171,173,175,100,64,164,67,110,117,41,141,103,85,169,157,156,155,154,151,148,175,174,174,174,174,174,174,175,175,174,177,98,66,149,41,105,100,41,150,92,82,173,159,158,158,156,154,151,176,176,176,176,176,178,177,177,176,178,169,83,74,130,89,124,124,74,96,76,87,175,162,162,159,157,154,153,178,179,179,179,178,178,179,178,178,178,152,115,119,91,105,108,110,105,80,62,61,168,165,164,163,161,158,156,180,180,180,180,180,180,180,180,180,176,161,129,89,72,78,102,117,91,81,100,51,142,175,165,165,162,159,157,181,181,182,182,181,181,182,182,180,180,157,101,64,72,78,117,124,96,140,139,63,106,183,165,165,163,161,159,181,182,183,183,183,182,184,185,182,174,153,96,59,83,91,126,136,151,108,139,105,79,179,168,169,166,164,162,182,183,184,185,185,185,185,186,183,167,161,113,55,71,110,134,144,161,126,120,105,48,166,173,170,168,166,164,185,185,186,187,186,187,186,188,182,163,167,127,72,59,110,139,148,146,127,106,61,28,168,174,171,170,167,164,187,187,187,187,187,188,188,190,184,157,164,131,87,58,101,157,164,159,120,88,36,66,188,172,173,172,169,167,187,188,189,188,189,189,189,191,187,154,147,130,95,71,113,172,161,147,105,71,20,135,187,173,173,172,171,167,187,188,188,189,189,189,189,190,191,162,148,131,106,85,128,166,150,125,87,45,42,184,178,177,174,174,173,169,185,187,188,187,188,188,189,189,193,170,144,140,122,89,127,154,137,102,67,15,104,193,176,177,174,174,172,170,186,187,188,188,188,189,189,189,192,179,145,144,125,96,114,126,103,74,29,25,175,181,178,176,173,171,170,167,187,187,188,189,189,190,190,188,193,177,152,145,123,101,103,107,76,41,6,138,189,179,179,177,173,172,170,167,187,187,188,189,189,189,189,190,193,164,158,145,136,118,94,86,50,7,125,198,180,182,179,179,176,176,179,167,186,187,188,190,189,189,190,193,185,148,165,151,146,114,89,61,13,55,197,182,185,182,180,178,177,160,126,66
12,174,176,178,177,177,178,179,178,179,180,180,180,181,182,181,181,181,180,180,180,181,181,179,179,179,178,178,178,177,178,179,179,180,181,181,181,181,182,182,182,182,182,182,182,182,181,181,181,182,183,181,181,181,180,180,178,179,179,180,181,182,183,183,184,183,186,183,174,179,193,176,165,177,185,184,184,184,185,184,182,182,182,181,180,180,181,183,183,184,184,184,185,185,208,195,168,152,207,190,155,143,185,184,183,186,186,185,185,184,184,183,183,182,183,185,185,185,186,186,186,193,229,215,182,139,191,212,172,122,165,177,159,167,188,187,187,187,186,186,185,184,185,186,188,188,188,188,188,197,233,228,192,145,161,221,188,140,115,166,149,120,170,190,189,190,188,187,186,185,186,187,188,189,190,191,190,200,225,231,200,155,137,213,196,157,106,140,150,103,134,193,191,192,191,190,189,186,187,189,189,190,191,192,191,201,212,222,211,167,126,186,197,160,112,96,132,104,125,195,194,193,192,191,190,188,189,191,192,193,193,193,195,191,179,201,211,189,152,140,179,146,97,67,101,100,132,196,195,194,193,194,193,190,191,193,193,194,192,200,212,169,143,161,180,186,147,100,115,114,76,91,118,92,145,198,196,196,195,195,195,190,191,194,195,195,209,226,204,144,118,122,119,145,121,92,105,133,121,151,135,93,166,199,197,198,197,196,195,192,193,193,194,208,229,214,184,142,117,87,81,100,128,124,140,176,198,182,132,96,178,202,199,199,198,198,197,192,194,195,198,222,210,188,189,160,129,89,80,86,90,97,120,170,211,217,192,141,130,182,201,200,199,199,199,193,193,194,202,222,201,175,191,171,136,99,77,91,96,96,103,172,206,219,200,163,128,124,196,201,200,199,199,194,193,195,214,222,197,165,178,182,172,133,86,96,112,115,167,206,204,196,177,167,151,112,181,203,202,201,200,194,195,197,213,231,210,174,142,176,193,154,103,97,126,170,211,213,202,186,152,150,140,113,188,204,203,202,202,195,196,198,209,232,222,193,150,142,168,184,157,114,183,219,214,205,192,175,144,124,110,126,203,205,203,203,203,196,196,198,208,233,228,204,168,159,146,152,152,172,225,227,214,198,183,162,137,106,92,157,207,206,205,204,203,196,197,198,205,227,229,214,183,174,163,139,163,219,229,227,210,184,169,145,129,97,99,190,206,205,206,206,205,196,196,197,200,219,226,223,199,183,171,163,163,218,228,222,200,168,151,133,122,91,129,206,206,206,207,206,206,195,195,196,196,209,227,228,214,194,177,173,161,206,222,208,186,152,134,132,112,87,164,208,206,206,206,206,205,195,196,198,196,196,227,229,215,196,179,172,167,191,212,191,166,139,126,133,101,100,194,207,207,206,205,205,204,196,198,199,201,194,218,217,199,186,177,172,170,177,191,174,148,132,129,121,92,140,208,207,207,206,206,206,206,196,198,200,203,196,211,207,185,177,173,173,166,168,175,165,148,127,121,104,104,188,209,208,207,206,206,206,206,196,199,200,201,198,208,205,187,184,183,176,166,163,175,169,142,113,105,93,157,208,209,208,208,208,208,207,207,197,198,200,200,199,205,210,196,193,189,181,173,160,178,161,123,101,91,119,201,208,209,208,208,208,208,208,207,190,192,195,197,196,202,217,202,200,196,185,179,153,173,146,116,97,90,170,210,209,209,209,209,208,208,207,207,134,136,138,143,145,180,223,211,206,203,190,180,149,163,140,115,90,100,186,198,200,202,204,206,207,208,207,206
0,205,207,208,208,209,210,211,210,211,210,209,209,209,210,209,211,211,209,210,210,209,210,211,210,209,210,210,209,208,209,210,209,209,211,212,211,212,210,210,211,211,211,210,209,211,215,211,213,212,212,211,211,211,212,211,211,210,210,211,212,211,211,212,212,212,212,211,211,212,212,222,209,170,181,218,206,208,217,216,214,212,210,212,212,210,211,211,213,215,213,212,213,213,212,216,216,185,174,226,204,169,142,144,164,152,191,211,167,200,216,212,212,211,212,212,213,215,214,213,214,215,216,241,226,186,150,189,211,181,168,97,145,153,132,185,139,177,224,212,214,211,212,213,213,213,215,214,221,200,186,241,224,196,165,182,232,186,175,113,166,168,135,156,146,169,226,214,216,212,213,214,215,215,215,218,247,201,153,195,240,202,173,168,244,201,181,119,182,172,128,126,148,144,230,214,217,213,214,215,215,217,212,232,241,208,180,171,245,212,174,155,243,206,178,114,185,169,115,112,161,104,210,221,217,215,216,216,216,214,230,227,226,221,194,151,225,220,168,137,236,208,164,98,150,155,106,101,169,96,152,230,216,215,216,217,216,217,234,198,217,232,200,143,197,226,167,117,201,197,149,91,121,140,98,104,173,108,127,229,218,217,217,219,214,228,228,185,196,227,198,142,165,217,160,106,162,182,140,98,107,129,86,118,183,122,130,230,220,217,218,218,216,228,222,192,182,205,179,133,135,195,152,101,126,175,136,95,107,131,95,166,198,134,133,231,222,214,216,215,220,230,210,181,151,187,174,128,113,184,150,92,102,173,135,86,126,140,114,199,193,135,141,232,220,213,215,216,215,242,227,191,142,156,177,118,103,176,154,91,96,180,134,143,200,170,132,189,199,136,150,231,219,215,217,216,217,240,229,196,156,117,152,144,99,178,173,101,104,177,179,199,197,180,149,144,185,128,155,233,220,217,218,217,220,244,233,207,176,137,125,151,119,172,183,158,193,207,205,195,183,163,148,129,131,109,149,234,220,218,218,218,220,244,239,215,187,172,160,153,172,190,200,218,220,218,208,193,177,153,135,128,110,94,143,235,220,217,218,217,221,240,239,222,202,190,179,168,169,191,207,218,217,218,210,188,171,153,129,117,111,88,167,234,221,216,216,217,220,235,235,229,216,206,187,177,172,184,203,215,216,212,204,183,166,148,126,113,97,128,221,228,226,221,222,223,216,230,236,237,228,211,191,177,175,185,208,217,218,205,197,180,162,142,123,100,114,214,226,224,225,181,186,192,184,215,236,240,231,211,195,180,174,184,212,219,212,199,190,175,154,132,114,98,199,236,228,232,231,112,113,119,104,161,240,231,225,212,198,186,173,183,208,208,196,183,175,162,142,123,105,121,183,183,187,183,183,119,120,120,110,129,235,219,212,212,204,192,171,180,205,201,184,165,151,140,130,112,110,116,113,108,105,128,165,118,119,121,116,122,228,210,206,214,206,189,171,174,203,198,175,144,125,119,111,111,120,115,114,143,191,232,231,117,118,117,119,120,221,208,207,215,201,188,178,172,196,191,162,123,109,105,111,119,123,152,198,237,238,224,208,117,118,117,120,115,221,223,210,212,196,184,181,167,178,179,146,110,104,104,110,134,209,247,255,242,234,227,206,118,117,117,119,111,219,231,219,211,195,184,187,164,168,171,137,105,100,103,160,235,254,251,245,234,241,245,230,119,118,119,119,113,209,228,225,210,194,185,187,162,160,168,134,102,85,163,243,242,244,248,233,228,237,247,249
12,170,170,170,170,170,171,171,170,170,167,166,166,166,165,164,164,163,163,162,159,159,157,156,156,156,155,153,152,173,173,172,172,172,172,173,172,171,170,169,169,168,167,166,166,165,164,164,163,163,161,158,158,157,157,156,154,175,175,174,174,175,175,175,175,175,173,172,173,169,170,169,167,169,167,166,165,165,163,163,161,159,158,157,157,178,178,177,177,178,178,177,178,179,177,175,175,173,173,172,175,170,170,170,173,169,164,165,163,162,160,159,158,180,179,179,180,179,179,179,179,179,179,177,178,175,163,134,144,176,171,160,147,158,173,166,164,164,164,162,161,183,182,180,180,183,182,182,181,181,180,180,179,180,165,139,92,148,173,148,119,90,152,176,169,168,166,165,164,186,185,182,184,185,185,184,182,183,183,181,179,189,183,155,121,90,140,166,133,86,97,177,156,168,171,167,165,186,186,185,185,185,186,186,185,185,185,182,186,192,194,168,142,89,88,176,141,105,72,103,119,106,157,172,167,187,187,187,187,188,188,189,188,187,187,189,188,173,185,177,140,112,69,157,148,118,65,60,113,82,96,179,169,189,189,189,188,188,188,189,190,188,177,168,180,170,175,170,135,99,53,143,147,118,64,54,104,79,54,168,174,190,189,190,188,189,190,191,188,186,161,122,134,163,157,164,122,83,59,156,139,110,58,51,97,74,48,166,177,192,191,191,191,193,194,191,182,188,168,148,126,123,114,167,132,93,72,164,128,102,54,64,107,76,65,183,175,193,192,194,193,195,195,192,188,188,183,168,156,103,79,168,165,109,82,164,131,95,58,100,120,66,104,190,176,195,196,196,194,196,194,195,180,157,179,179,161,129,90,163,164,106,86,178,154,96,88,128,108,57,147,186,177,197,197,197,196,197,193,197,182,129,137,178,165,137,83,109,140,83,108,191,149,89,118,154,110,65,171,183,180,198,198,199,199,198,195,202,200,163,88,118,159,113,70,49,66,41,70,154,129,80,148,167,104,111,188,180,182,199,199,201,202,199,199,191,173,142,97,69,141,95,71,55,58,46,67,103,74,79,194,162,89,114,197,182,184,201,200,201,203,200,194,197,185,164,132,78,109,110,90,77,75,76,135,162,139,137,147,117,63,65,194,184,184,202,201,201,202,201,192,203,197,172,128,90,91,120,113,83,82,147,170,173,154,160,135,71,48,71,193,186,185,203,203,202,203,203,191,203,204,178,139,120,100,110,121,102,151,198,189,184,149,146,138,91,47,113,201,185,187,203,202,203,204,204,192,200,205,182,155,128,114,112,136,179,198,205,198,182,146,134,123,82,48,164,196,187,186,205,204,205,205,205,194,194,199,181,159,130,120,118,153,204,201,201,190,168,138,122,106,70,65,195,191,190,187,206,207,207,206,207,195,187,191,183,160,130,129,122,166,207,199,195,178,153,133,113,96,51,110,205,190,191,190,208,208,208,207,210,196,186,192,181,158,133,133,127,180,201,199,187,162,143,129,105,79,56,180,199,193,192,191,209,209,208,207,210,200,185,188,186,168,143,130,128,186,193,194,178,153,134,117,98,53,101,208,193,195,194,193,209,209,209,209,211,206,187,187,186,177,151,127,125,179,185,181,164,142,121,101,83,45,166,204,196,196,196,194,211,210,209,209,211,210,188,187,184,171,145,128,123,162,174,164,147,123,104,87,50,86,208,197,201,198,196,196,210,209,209,211,212,209,189,186,180,164,139,128,126,150,163,153,134,112,88,70,46,172,206,198,200,199,197,197
21,65,74,83,100,117,127,135,139,144,147,149,153,157,160,165,166,168,170,172,174,174,174,175,176,177,176,176,176,67,75,85,103,119,129,135,140,145,149,151,155,158,161,158,169,170,173,174,175,177,178,179,179,179,178,179,178,70,78,86,106,121,131,138,143,147,150,153,156,170,175,93,159,177,175,176,177,180,181,180,180,181,181,180,180,71,80,89,109,123,131,139,145,148,152,157,155,181,177,86,152,182,176,177,180,182,182,180,181,183,183,183,183,71,80,92,111,125,133,140,145,152,155,160,157,183,175,94,147,183,179,181,181,185,186,185,189,187,185,184,184,73,82,93,113,125,136,142,146,152,156,159,158,186,184,101,145,186,179,183,182,187,189,182,170,188,187,187,187,74,85,96,116,126,137,144,149,154,156,161,160,188,184,106,137,190,182,186,186,187,188,153,95,169,194,189,190,76,86,99,119,128,139,145,150,155,157,161,161,188,182,109,122,192,182,188,186,191,176,123,101,189,192,191,191,79,86,100,120,129,138,146,153,157,157,164,162,195,185,109,120,193,182,188,193,191,152,95,163,202,192,192,192,80,88,104,123,131,141,147,154,157,158,163,165,206,190,119,126,194,184,190,188,167,118,125,202,194,195,194,193,80,89,107,123,133,143,149,154,157,160,176,149,185,170,114,121,195,185,193,183,141,95,183,199,195,196,197,196,81,90,108,124,134,143,150,156,157,169,173,120,121,121,96,123,195,187,192,174,104,139,206,195,198,198,197,197,84,92,110,125,133,144,151,154,171,191,133,117,84,80,82,126,173,174,175,127,99,196,198,199,199,199,197,198,84,91,111,126,135,144,152,156,199,207,175,146,90,61,80,113,148,149,132,81,160,206,196,199,199,199,199,198,84,93,114,127,136,144,150,167,205,216,221,144,93,63,73,99,120,126,88,111,205,198,200,201,201,201,201,201,85,94,114,127,137,146,150,175,185,173,183,126,88,73,71,89,102,103,80,183,204,200,200,201,201,201,202,201,86,96,116,127,136,147,150,198,183,112,138,147,101,78,72,77,89,70,119,210,198,201,202,203,202,202,202,201,87,97,118,128,139,145,157,199,142,105,118,162,114,84,74,70,79,65,151,209,200,202,202,203,202,203,204,203,87,99,120,128,139,141,174,197,152,147,140,184,134,111,85,70,74,66,160,210,202,204,204,203,203,204,205,202,87,100,118,127,141,141,187,201,178,138,187,219,141,129,92,68,72,70,177,207,203,204,206,206,206,206,205,203,88,102,122,129,142,143,197,216,169,148,228,190,135,124,92,69,68,77,195,206,204,204,205,206,206,206,205,205,89,103,121,130,142,143,206,204,155,169,213,168,130,112,100,75,62,102,210,203,204,204,206,206,207,207,206,206,88,103,120,129,143,144,197,181,169,168,209,163,152,109,86,77,59,142,212,202,205,205,206,207,208,207,206,206,87,105,122,133,145,147,179,188,192,166,213,153,144,113,77,74,62,171,209,202,206,205,207,208,209,208,207,207,88,107,123,133,143,149,169,214,180,161,198,137,118,91,73,68,74,190,207,204,206,207,208,209,209,209,208,208,86,107,122,132,141,150,165,202,174,151,169,127,101,86,75,58,92,203,202,206,208,209,210,210,210,209,208,209,84,105,118,130,140,151,158,180,160,154,157,137,118,96,78,52,107,207,198,202,206,206,207,207,208,208,208,208,85,105,117,130,140,151,157,171,167,161,157,151,135,98,75,46,116,207,196,201,205,206,206,207,207,208,209,207
24,90,98,106,111,115,120,123,125,128,132,134,137,140,142,145,145,147,148,150,151,154,155,156,156,156,156,156,156,92,100,107,113,118,121,124,127,130,133,135,141,142,144,146,148,150,151,154,156,157,157,158,157,156,156,157,158,94,102,110,113,119,122,125,129,133,135,138,142,146,147,147,150,151,153,156,158,158,158,158,158,159,160,159,160,96,103,112,117,120,125,125,130,133,136,140,143,147,148,149,152,153,156,157,158,159,160,162,159,162,163,162,163,98,105,113,119,122,125,129,131,136,139,143,144,147,147,149,153,156,157,157,160,162,164,164,162,164,163,163,164,100,107,114,120,124,134,120,133,136,140,143,147,149,149,152,156,157,158,160,161,162,164,163,164,165,165,165,164,99,108,115,117,145,142,75,131,139,142,144,149,151,153,156,157,159,160,162,163,163,165,165,166,167,167,166,169,102,110,117,119,168,108,73,136,140,144,147,150,153,154,157,157,160,163,163,167,170,170,166,167,169,170,169,169,104,114,113,136,169,84,91,143,140,147,152,152,154,159,160,160,161,164,164,153,126,142,171,168,170,170,170,170,104,115,109,162,156,68,111,144,145,140,131,152,151,130,147,166,163,168,135,92,67,77,171,173,172,172,172,172,105,115,116,186,132,105,125,126,169,143,87,124,152,117,91,147,174,155,96,60,62,123,175,172,173,174,173,173,109,113,127,189,132,184,141,113,167,140,75,130,140,119,74,98,191,133,78,60,148,180,172,173,175,175,174,174,109,109,148,186,172,194,151,114,160,127,66,123,128,97,59,139,166,109,62,105,187,171,175,176,177,175,175,176,111,108,163,185,170,216,151,106,153,119,57,45,107,100,109,153,116,79,61,161,177,176,177,178,178,178,178,178,113,108,173,202,165,202,144,91,160,101,78,93,140,147,128,120,105,58,101,186,176,179,180,179,178,179,179,179,110,122,188,186,160,179,125,73,153,161,172,176,150,124,103,89,93,59,149,186,178,180,180,180,181,180,180,181,103,154,164,146,130,150,135,104,185,207,186,165,139,113,86,78,74,74,181,181,181,181,181,182,183,183,182,182,109,191,168,139,118,117,138,194,213,196,185,167,131,101,76,74,56,117,193,181,184,183,183,184,184,184,183,183,137,213,169,146,131,105,139,220,197,183,172,144,116,89,70,67,50,156,189,184,184,185,186,187,185,185,185,185,176,217,170,161,150,162,200,210,188,166,154,125,98,79,68,64,56,167,189,185,185,185,186,187,188,188,187,187,200,218,181,171,160,189,202,185,167,148,138,111,86,74,68,58,78,187,185,186,187,187,187,190,189,188,188,188,204,229,192,173,157,175,186,172,159,134,128,99,79,66,63,49,139,192,185,188,188,189,189,190,190,189,189,189,190,235,197,182,165,169,182,176,152,133,121,91,72,60,40,102,191,186,188,189,190,190,190,191,191,191,191,190,163,225,191,176,175,164,163,169,140,116,104,82,56,44,111,181,185,186,188,190,192,193,192,191,191,192,194,193,147,203,194,180,181,164,144,160,140,111,94,68,36,111,190,183,186,188,189,191,191,193,194,193,194,194,194,195,136,199,196,181,168,162,136,150,133,110,89,46,68,177,181,184,187,189,190,191,192,193,194,194,194,195,195,194,137,208,199,173,152,161,136,137,127,103,88,44,112,189,181,186,188,190,191,193,194,193,194,195,195,196,197,196,144,208,200,164,140,164,132,128,128,101,80,48,122,189,180,187,189,190,192,194,195,195,196,196,196,197,197,198
24,162,169,177,190,198,204,209,214,219,222,226,228,230,231,232,231,230,229,228,227,225,222,221,221,219,216,213,211,165,170,181,194,203,208,214,218,223,227,231,233,236,237,237,237,236,235,234,233,232,230,228,226,224,222,218,217,168,173,184,197,206,212,217,222,227,232,235,239,240,240,241,241,241,240,239,239,238,235,234,232,231,229,225,223,170,176,187,200,208,215,220,224,230,235,239,242,243,243,245,245,245,245,244,243,242,239,239,237,236,234,230,227,172,177,188,203,212,219,224,228,233,238,242,246,248,248,249,249,248,247,248,246,247,246,243,242,241,240,236,233,174,180,200,209,215,221,227,231,236,241,245,249,250,249,250,252,252,251,250,249,249,249,248,247,247,245,241,238,172,198,208,171,223,224,229,234,239,243,247,250,252,252,253,255,254,254,254,253,252,252,253,251,250,249,246,243,173,209,195,128,221,227,230,235,242,246,250,252,252,254,255,255,255,255,254,255,255,254,255,255,253,250,249,247,174,217,195,122,215,230,233,240,245,247,251,255,255,255,255,233,204,255,255,255,255,255,255,252,255,255,251,248,176,222,183,116,213,233,235,238,242,254,252,254,216,236,255,234,156,171,255,255,252,232,214,169,187,255,254,255,178,215,177,115,213,234,245,227,182,223,255,255,175,143,215,244,193,134,236,250,235,200,151,120,222,255,253,220,180,215,192,118,205,235,255,255,219,193,254,255,196,153,142,244,211,153,179,210,246,169,129,220,239,179,109,81,182,217,209,129,184,241,255,255,255,229,181,255,224,191,145,225,213,147,126,232,215,127,119,132,87,65,74,68,188,208,230,186,191,231,254,251,255,255,185,198,255,200,138,167,190,122,159,252,164,109,75,66,82,88,81,78,190,195,243,222,213,234,254,207,231,255,190,132,246,224,150,101,117,126,218,222,132,82,72,69,65,85,81,72,192,195,230,244,238,255,255,237,207,227,184,114,213,241,160,87,95,190,227,183,108,59,65,80,61,70,83,79,194,201,220,255,248,230,237,220,188,203,192,139,154,193,126,117,154,194,191,147,82,74,51,70,74,62,72,84,192,204,215,255,250,210,224,207,166,173,196,169,136,135,188,218,206,203,160,116,46,77,67,52,69,64,66,77,193,206,216,255,255,191,178,192,173,175,196,209,183,205,255,255,226,214,143,96,32,58,82,60,55,66,63,67,154,162,157,206,255,209,162,179,220,186,237,255,249,255,255,254,225,204,131,95,44,39,74,78,61,62,56,63,142,144,137,165,255,243,187,161,207,204,251,255,255,255,255,241,215,187,119,83,61,29,59,79,71,67,57,54,147,149,149,152,254,255,212,175,176,211,236,255,255,255,255,228,204,178,113,59,74,28,45,73,72,73,63,49,149,150,153,144,231,255,235,196,175,204,222,255,255,255,246,217,193,175,117,44,77,41,30,63,74,69,65,59,147,149,153,142,205,255,247,211,193,203,211,255,255,255,236,213,183,166,115,45,72,57,24,47,72,66,64,63,146,148,151,145,172,255,251,226,203,209,201,247,255,245,232,213,168,152,106,47,66,69,31,32,66,68,59,60,146,147,148,149,147,232,252,236,214,217,199,221,255,239,236,204,153,142,86,30,62,72,47,24,51,71,54,56,146,146,147,149,143,177,254,245,226,218,204,197,231,230,222,190,145,134,74,23,44,74,61,32,33,65,57,47,145,146,146,147,150,143,218,251,230,217,200,181,195,212,196,170,142,120,58,23,28,69,65,46,27,48,65,44
22,131,139,142,146,153,158,162,166,169,172,174,175,178,179,179,179,180,179,178,177,177,177,175,174,172,171,170,170,133,140,144,147,154,159,164,166,171,173,174,180,180,181,181,182,179,182,184,180,179,179,177,176,174,173,172,171,135,143,146,150,155,161,166,170,171,190,161,142,186,181,183,182,185,167,160,185,180,180,178,180,180,175,174,172,136,145,148,151,156,163,168,172,170,208,166,106,185,183,185,183,196,153,102,184,183,181,184,164,161,180,176,174,138,145,148,152,159,164,169,173,172,212,176,106,183,186,186,188,191,140,100,189,183,185,188,135,103,182,177,176,139,146,150,154,160,165,171,175,172,210,187,111,179,190,187,190,184,125,122,196,182,190,184,125,112,188,178,178,139,147,150,155,162,168,173,177,173,214,204,120,168,194,187,183,177,110,147,196,188,196,165,96,154,190,180,180,140,149,151,156,163,170,174,179,175,213,200,120,158,198,187,177,162,97,166,193,201,196,141,107,189,184,182,181,141,150,153,158,164,171,176,181,177,211,198,120,141,201,187,187,166,94,180,197,195,168,115,147,194,184,184,183,143,152,154,159,166,173,177,181,180,205,216,150,131,200,185,188,146,105,202,215,193,133,100,186,189,187,185,185,145,152,155,160,168,173,177,182,184,195,216,153,116,197,168,168,103,124,225,213,185,108,134,200,187,188,187,187,146,153,155,161,169,176,181,184,186,188,216,141,82,157,152,167,155,187,212,193,156,92,182,196,191,189,188,187,147,153,157,162,169,176,181,184,195,167,170,131,104,162,174,174,199,199,193,167,101,124,203,192,193,191,189,188,148,154,157,163,169,177,182,187,205,167,147,134,143,145,158,182,187,187,183,132,91,188,198,194,194,193,190,188,149,156,158,164,173,181,180,198,211,180,188,174,164,110,84,151,170,181,153,99,132,211,195,196,195,195,192,191,150,157,159,166,174,180,182,204,224,187,173,177,165,144,111,79,121,133,108,85,157,210,197,196,196,195,193,193,150,157,160,167,175,180,181,216,216,177,120,112,158,168,150,112,75,84,91,79,184,207,201,199,198,197,195,193,151,157,160,167,176,181,184,221,216,177,119,72,111,176,165,143,110,84,75,79,196,205,203,200,200,198,195,194,151,158,161,169,175,182,184,224,235,182,189,100,133,208,180,149,132,108,67,60,187,209,202,201,200,199,197,195,153,158,161,169,176,183,186,225,233,181,172,105,180,226,189,155,137,110,64,53,185,211,202,201,200,200,200,197,153,158,161,168,176,183,184,224,236,183,160,168,219,196,186,150,124,99,58,70,203,206,202,202,202,202,200,197,152,158,161,168,176,183,182,217,229,199,166,192,228,179,167,168,118,93,50,106,217,201,202,201,201,201,200,197,152,158,160,169,177,184,184,211,227,208,167,198,221,180,163,163,130,82,45,141,218,202,203,201,201,202,200,197,153,158,161,169,177,185,186,204,221,211,171,182,209,175,158,150,114,71,48,177,214,205,205,202,202,202,200,198,152,158,161,169,176,183,189,185,220,204,172,155,179,151,132,120,85,52,77,210,205,205,204,201,200,199,199,198,154,160,163,171,180,188,193,74,152,203,135,124,139,138,116,91,73,53,154,225,212,213,211,208,207,207,206,204,131,134,136,139,141,149,124,53,55,125,130,136,142,153,132,93,73,65,145,154,150,150,151,151,151,151,150,150,109,109,107,109,109,102,63,57,57,50,110,138,138,145,130,86,53,42,97,98,95,95,94,93,92,92,82,66
24,91,103,116,125,133,137,138,144,151,155,158,162,164,166,169,172,173,175,177,178,178,179,178,178,178,177,177,176,91,105,118,127,135,138,140,145,153,157,160,164,166,168,171,173,175,177,179,180,180,181,181,180,180,180,180,180,92,106,119,129,136,140,142,149,154,159,162,166,169,172,174,175,177,178,180,181,182,183,182,181,181,181,181,181,94,108,120,131,138,140,146,151,156,160,164,168,171,174,176,178,179,181,182,183,183,184,184,183,183,183,183,182,95,109,121,133,139,168,138,148,159,162,166,169,173,175,178,180,181,183,184,186,185,186,186,186,186,185,185,185,95,110,122,133,145,182,116,124,163,164,167,171,174,177,180,181,184,185,187,187,188,188,187,187,187,187,188,187,96,110,124,134,142,163,109,99,162,166,170,174,176,180,182,185,186,189,190,190,190,188,190,189,188,188,188,188,97,112,125,135,141,164,119,84,150,171,171,177,178,179,180,191,193,164,179,193,192,191,192,191,191,190,190,189,98,113,126,137,144,153,139,94,117,172,171,162,186,180,135,177,204,154,113,183,195,194,193,193,193,192,192,192,99,114,127,138,146,149,167,112,89,162,188,148,188,193,123,152,195,146,93,125,200,196,195,194,194,194,194,193,99,115,128,140,148,149,162,134,111,162,215,170,204,204,133,183,180,113,83,91,187,198,197,195,195,196,196,195,101,116,129,141,149,152,158,176,138,168,232,176,196,201,127,193,170,92,71,82,153,206,197,198,199,198,194,185,103,117,130,141,149,152,156,174,160,189,224,169,176,200,130,202,178,88,73,87,114,207,201,201,199,194,183,163,103,119,131,143,151,154,156,175,218,194,207,177,157,190,131,213,179,75,69,84,80,185,206,199,198,197,165,124,105,119,133,144,152,155,158,181,206,173,175,162,123,171,135,219,146,59,77,94,89,128,193,191,201,175,124,95,106,121,135,146,153,157,160,179,226,192,167,150,113,156,131,105,67,78,91,113,137,150,173,178,162,117,97,167,107,122,135,147,153,156,160,176,229,205,168,146,156,160,174,110,111,166,165,172,169,162,154,142,106,112,188,209,107,123,137,147,155,157,161,173,224,212,185,157,152,159,190,193,214,210,198,184,166,142,122,99,108,198,211,207,108,124,137,148,155,157,162,173,222,213,183,159,170,206,225,230,216,201,187,170,144,116,91,98,193,213,209,208,108,125,138,148,155,157,163,170,215,215,190,176,181,210,230,229,213,190,173,147,116,85,103,190,215,211,211,209,110,125,137,149,156,158,163,169,203,218,199,184,176,208,227,222,205,178,152,122,85,127,205,215,213,213,212,211,110,126,138,150,157,159,165,171,192,217,200,174,163,201,208,199,187,163,132,88,135,215,217,214,214,214,213,212,109,125,137,150,157,158,164,171,186,209,180,157,163,199,192,173,155,129,86,130,215,216,214,215,215,214,213,212,109,125,137,149,155,157,162,170,182,203,180,171,176,200,184,154,128,89,93,207,217,214,214,214,213,213,213,213,109,124,138,149,156,157,163,172,182,222,204,191,184,195,175,137,115,77,154,216,213,214,215,215,215,214,214,214,109,124,138,149,156,157,164,173,181,229,218,197,179,190,159,128,105,83,186,216,215,215,216,216,215,215,215,215,108,124,137,149,156,158,164,172,179,213,203,183,175,190,154,134,90,86,198,217,215,216,216,216,215,215,216,216,106,123,137,149,155,158,164,171,181,206,186,164,170,180,151,126,75,88,204,217,216,216,216,216,216,216,216,216
7,172,172,173,173,173,173,173,173,172,172,172,171,170,170,169,169,168,166,165,165,164,164,150,89,71,62,65,83,174,174,174,175,175,175,175,175,175,174,174,173,172,172,172,171,170,167,166,166,166,165,164,106,65,50,59,73,175,176,176,177,179,178,177,177,177,177,176,175,175,174,173,172,172,170,169,169,168,168,168,127,54,40,55,63,178,179,180,180,180,180,179,179,179,179,178,178,178,177,175,174,174,173,172,171,170,169,169,154,65,36,45,57,179,180,182,181,182,181,181,181,181,181,180,180,180,179,177,176,175,174,172,172,171,170,170,168,120,74,59,73,180,181,182,183,184,183,183,183,183,183,182,181,180,170,168,172,171,165,158,161,154,168,168,164,128,130,138,129,183,184,185,186,186,186,186,185,184,184,184,185,182,164,155,170,174,163,151,150,142,170,162,149,103,151,163,157,185,187,187,188,187,187,188,189,190,195,199,197,186,167,160,164,153,150,138,135,130,130,131,151,118,157,131,149,186,188,189,190,190,187,185,193,202,205,203,195,185,176,174,163,133,131,149,141,135,126,122,124,114,136,119,168,187,190,191,192,205,197,187,189,195,195,192,188,186,184,178,160,142,135,148,145,139,137,123,106,107,134,125,171,189,191,191,204,218,206,192,185,190,193,191,190,187,182,177,155,142,133,126,119,116,115,105,98,94,107,129,163,190,191,194,218,220,205,179,171,180,189,189,185,176,164,152,133,121,116,113,116,121,127,126,131,140,149,166,171,193,193,203,224,217,197,169,168,176,169,164,155,144,135,123,111,109,156,178,178,180,181,180,181,179,178,167,122,195,194,217,223,213,195,183,176,164,156,159,161,155,149,144,145,127,105,160,188,187,185,184,182,180,179,175,126,193,202,226,222,218,214,209,184,163,165,166,164,155,146,142,137,118,72,69,169,189,186,184,183,181,180,178,163,193,216,227,225,223,222,215,180,151,157,154,149,142,138,132,123,106,73,50,149,191,188,186,184,183,181,179,178,207,227,228,225,222,218,205,173,153,140,120,108,117,129,138,142,139,88,79,170,190,188,188,186,185,182,181,179,225,230,229,225,220,211,197,177,160,143,125,126,151,166,156,147,151,112,163,191,190,189,189,187,185,184,181,179,228,230,229,224,214,204,187,169,166,164,145,151,162,154,144,135,127,103,181,195,192,191,190,188,186,185,183,181,229,228,226,221,207,188,168,173,185,175,154,151,147,138,130,120,102,100,187,196,194,192,190,189,188,186,184,182,230,227,223,214,197,184,185,197,195,178,155,131,118,107,94,85,92,151,196,196,196,194,192,190,189,187,185,182,226,221,214,205,197,197,198,194,185,163,133,107,107,117,99,133,173,196,198,197,196,195,193,191,188,187,185,184,218,212,206,203,202,201,188,178,172,151,124,114,170,197,192,199,201,200,199,197,196,196,194,192,190,188,187,186,207,205,206,200,196,193,181,174,160,128,110,172,205,204,204,202,201,201,200,199,197,196,195,194,192,190,187,185,199,197,199,193,185,180,173,157,126,104,162,206,206,204,203,202,202,202,201,199,199,197,196,194,192,190,188,180,198,192,187,177,167,163,150,124,101,152,204,206,204,204,203,202,201,201,200,197,197,196,195,194,192,191,187,173,192,183,171,156,147,136,113,100,153,203,208,207,205,205,203,202,201,201,199,198,197,196,195,192,190,168,162,174,173,161,145,128,117,102,91,151,205,207,207,207,207,205,203,202,201,201,199,199,198,196,195,193,179,94,75,124
1,156,158,160,161,163,164,164,164,164,165,165,164,164,164,163,162,159,157,158,158,157,156,155,154,152,151,150,149,158,159,161,163,164,165,166,166,166,166,166,166,165,165,165,165,154,138,153,159,158,157,156,155,154,152,151,150,159,161,163,165,166,168,168,168,168,167,168,168,167,167,165,168,150,113,137,150,156,159,158,157,156,155,153,152,161,163,165,167,169,170,171,171,171,170,170,170,169,169,156,154,145,113,131,125,146,161,161,159,158,157,155,154,164,165,167,169,170,172,173,173,173,173,173,173,173,173,143,132,136,115,135,116,136,163,163,162,160,159,157,157,166,167,170,171,172,174,175,174,175,175,175,175,175,174,134,127,135,116,135,113,128,164,166,164,163,161,160,159,167,169,171,174,174,175,176,177,177,177,177,174,168,167,125,123,134,115,134,114,124,164,168,167,165,164,163,161,169,171,173,175,177,178,179,179,180,180,180,170,147,155,120,121,132,114,133,117,124,165,171,169,168,166,165,164,171,173,176,177,179,179,180,180,181,182,183,159,129,143,116,130,136,114,132,119,125,166,172,171,170,168,167,166,173,175,177,179,180,181,182,182,182,184,184,147,119,136,116,144,140,117,143,129,126,168,174,173,172,170,169,168,174,176,179,181,181,183,184,185,185,186,183,138,122,140,117,140,129,116,153,135,129,170,176,175,173,172,171,170,175,178,181,183,184,186,186,187,187,191,181,129,125,136,107,124,113,114,152,131,131,172,178,177,175,173,172,171,178,180,182,185,187,188,187,188,189,195,179,133,140,132,113,125,122,134,151,126,131,174,179,179,177,175,174,172,179,181,183,186,188,189,189,189,190,198,173,135,151,152,145,142,135,143,142,120,132,175,181,180,179,178,176,174,180,182,185,187,189,190,191,191,193,199,176,148,140,154,166,165,146,130,122,110,130,177,183,182,181,179,177,175,182,184,186,188,189,191,192,192,197,198,175,147,123,133,148,166,166,146,121,101,126,179,186,184,182,180,179,177,182,185,187,188,190,192,193,193,201,196,162,135,123,126,138,163,176,168,145,114,125,178,187,185,183,182,180,179,184,187,189,190,191,193,194,195,206,196,157,136,134,136,155,175,181,179,159,132,120,167,187,187,185,183,181,180,185,187,190,191,193,195,195,196,208,199,162,143,140,148,176,194,187,174,153,130,113,158,188,187,186,184,182,181,186,188,190,192,194,195,195,197,207,204,174,151,143,156,192,205,187,161,136,116,109,157,188,188,187,186,184,181,186,188,191,193,195,196,196,197,206,210,186,159,147,158,200,208,180,148,122,104,108,159,190,189,188,186,184,182,187,189,192,194,196,198,198,198,204,209,188,164,150,154,196,198,169,137,114,100,114,170,191,191,189,187,186,184,188,189,192,195,196,197,199,199,202,204,188,171,155,158,189,182,156,129,109,101,129,181,192,192,190,188,187,185,188,190,193,195,197,198,199,199,200,201,194,183,164,168,181,166,142,120,105,108,153,190,193,192,191,189,187,186,189,191,193,195,197,198,199,200,200,199,195,184,162,157,163,151,130,112,103,121,174,194,194,193,191,189,188,187,189,191,194,196,198,199,200,201,201,199,190,173,154,145,146,141,126,110,104,136,187,196,195,194,192,190,188,188,189,191,193,196,198,199,200,200,201,198,186,166,154,150,145,140,131,110,107,153,193,196,195,193,192,190,189,188,188,190,193,195,197,198,199,199,199,198,190,174,167,161,148,138,130,107,107,165,194,195,194,193,191,189,188,187
12,70,74,79,87,100,113,121,127,133,137,139,142,144,146,150,153,156,158,159,160,161,164,165,165,166,166,166,167,71,75,81,87,102,115,122,128,134,138,140,143,145,148,151,154,156,159,160,161,163,165,166,166,167,167,168,168,72,76,82,89,103,115,124,131,135,138,141,144,147,150,152,156,158,161,154,160,165,167,168,168,168,170,170,170,73,78,84,91,106,117,125,131,136,139,143,145,149,160,134,132,163,167,125,119,162,163,166,170,170,173,172,172,73,78,85,93,108,119,126,132,137,141,145,144,170,179,141,111,146,169,132,95,118,128,119,159,173,173,173,173,74,79,86,94,109,121,127,134,139,144,146,146,191,191,153,122,130,170,145,112,89,120,100,116,171,175,175,175,74,80,87,95,111,122,128,135,140,144,147,152,196,207,170,128,125,176,146,114,80,115,110,87,157,177,176,176,75,82,89,98,114,123,130,136,141,144,145,158,182,193,179,128,117,179,145,108,76,112,107,86,159,178,179,178,77,83,90,99,115,124,132,137,141,143,154,162,166,156,158,115,96,152,131,97,76,113,101,95,169,181,180,180,77,83,90,101,116,124,131,137,145,184,195,141,105,103,135,100,80,122,105,85,79,108,94,109,180,181,181,181,78,84,90,103,117,125,132,135,170,211,176,127,100,78,120,108,76,109,106,85,80,104,91,118,183,182,182,182,79,84,91,104,117,125,134,139,187,170,157,134,112,80,104,125,78,106,130,96,93,131,105,123,183,183,183,184,80,85,92,106,119,126,133,147,189,152,139,143,118,91,59,76,55,80,112,91,100,139,110,84,145,186,185,185,79,86,93,108,120,127,132,154,190,154,126,136,112,94,49,42,68,100,105,104,125,116,92,82,106,183,186,186,81,87,94,109,121,127,133,158,201,165,133,113,98,82,48,61,111,149,155,149,140,118,108,96,114,185,187,187,82,87,96,112,122,129,134,164,202,169,144,111,87,85,74,104,153,175,173,158,138,114,103,93,142,188,187,187,83,88,97,113,123,130,134,166,199,174,149,118,105,120,119,157,181,184,175,150,127,110,93,94,168,188,188,188,84,89,97,114,122,131,136,161,191,169,145,122,119,125,129,176,182,182,170,139,117,105,89,118,185,188,189,189,83,89,99,114,122,131,138,154,186,164,144,128,122,119,137,170,175,177,156,128,110,99,91,156,189,188,189,189,83,89,100,116,123,132,139,148,182,162,149,140,129,129,152,168,172,163,140,119,103,91,108,182,190,189,190,190,85,90,101,117,125,134,139,145,171,165,157,152,139,133,151,160,159,142,121,108,97,90,142,190,190,190,192,192,86,91,103,118,126,133,139,143,162,173,157,147,133,122,128,142,141,125,108,99,93,107,177,190,190,191,193,193,86,91,104,117,124,133,139,145,156,179,154,140,126,114,115,123,119,110,99,96,91,147,189,190,191,192,193,193,86,91,106,119,125,134,140,146,153,184,165,139,119,112,118,116,116,109,97,91,111,181,188,190,192,193,193,193,86,92,107,119,126,135,141,147,153,185,179,146,131,128,130,115,115,109,93,83,142,189,189,192,193,194,194,195,87,93,107,119,127,135,141,147,165,195,192,156,144,136,131,112,107,98,88,76,153,191,191,192,194,194,195,195,87,93,108,120,128,136,142,165,191,184,202,165,152,137,128,110,98,89,84,74,156,192,190,193,194,194,196,196,87,94,109,120,128,137,145,193,203,166,180,163,151,133,123,105,90,87,83,76,163,191,191,193,194,195,196,196
22,106,112,116,120,125,130,135,138,142,144,146,147,148,149,150,150,149,148,148,148,147,146,145,145,144,143,142,140,108,114,118,121,127,133,137,139,142,144,146,148,150,151,151,152,151,151,151,149,148,147,146,146,146,145,143,143,110,117,119,122,129,135,138,140,144,145,147,150,151,152,151,149,152,152,151,151,150,148,149,147,147,146,144,144,111,117,119,124,131,135,139,143,143,144,148,151,151,153,153,186,115,141,154,150,156,157,133,150,147,147,146,145,112,118,121,125,132,137,141,143,148,191,115,144,156,153,159,199,97,128,160,147,178,152,102,155,148,147,147,146,114,118,120,126,134,139,143,144,151,201,107,137,160,153,165,189,103,128,161,150,186,129,106,157,149,149,148,148,115,120,121,128,134,140,144,147,147,196,128,126,163,153,170,195,113,130,161,159,186,117,110,160,150,151,150,148,115,121,124,130,136,141,145,149,146,205,158,118,165,154,174,195,118,133,160,174,194,112,124,161,153,152,152,150,116,122,125,132,138,143,145,151,145,200,183,115,162,157,178,186,118,131,161,192,188,108,137,160,154,154,153,151,117,124,127,132,138,144,148,154,147,192,198,113,152,159,183,190,121,126,169,203,167,96,146,161,155,155,154,153,119,125,128,133,139,146,151,155,148,181,217,145,135,163,188,198,123,128,191,205,144,92,157,160,157,156,155,153,120,126,129,135,142,147,152,151,167,183,157,150,126,166,188,190,113,144,216,195,123,109,166,160,158,157,156,154,122,126,130,137,144,148,154,150,209,215,178,145,95,153,177,172,158,183,208,182,102,135,168,160,160,159,158,157,122,127,131,139,146,151,155,157,216,225,209,159,87,91,149,164,185,180,172,144,98,161,167,163,162,161,159,158,123,128,132,140,147,152,156,165,207,194,184,191,146,102,99,128,160,162,153,102,113,174,165,166,165,163,161,159,123,129,133,141,148,153,155,168,219,192,167,205,204,153,93,79,125,150,140,88,123,176,166,167,166,165,163,161,124,129,133,142,149,154,153,181,226,178,154,153,208,189,140,83,81,121,131,92,137,177,168,168,168,167,165,163,125,130,134,143,151,156,154,192,222,175,134,107,157,200,181,133,78,81,101,86,158,176,171,171,170,169,167,165,125,130,133,143,150,157,155,201,229,179,126,148,133,190,208,177,127,75,71,88,171,174,172,171,169,169,168,166,125,129,133,143,150,156,155,202,223,181,121,158,157,211,210,192,160,115,71,96,180,172,173,171,169,169,167,166,126,129,134,143,151,157,156,200,226,172,133,159,182,227,211,191,172,123,67,106,184,172,173,174,172,170,168,167,125,130,135,144,152,159,157,198,231,161,152,154,204,232,216,186,150,110,66,118,185,174,175,174,173,171,169,168,124,129,134,143,151,159,157,192,228,162,168,152,220,227,211,188,132,93,71,138,183,175,175,171,171,170,168,167,125,130,136,144,153,161,161,190,226,173,178,153,228,219,206,176,124,87,77,167,187,182,181,179,179,176,175,176,109,112,115,118,120,124,120,144,224,193,185,162,223,206,192,155,111,87,82,121,123,121,121,121,121,122,115,107,89,89,89,90,89,87,85,98,219,200,185,157,205,193,161,132,102,88,83,78,76,75,75,74,74,63,71,126,97,96,97,98,97,98,96,103,207,186,170,150,171,172,138,120,108,93,84,89,88,87,85,87,85,112,182,191,96,97,98,97,96,96,96,94,182,164,149,142,145,157,146,121,110,95,87,88,87,87,86,80,130,199,188,159
6,239,241,243,245,245,244,244,245,246,247,247,247,248,247,247,248,247,246,245,243,243,241,241,240,237,237,236,235,241,242,243,245,246,246,247,246,246,248,250,249,248,248,248,249,248,248,247,245,244,245,243,241,241,239,239,239,243,242,245,246,247,248,248,248,249,249,249,248,247,250,251,251,250,249,249,248,247,247,244,244,243,241,241,240,244,245,247,247,248,250,251,249,248,249,249,250,250,251,251,251,250,249,249,248,248,247,246,246,244,243,243,240,247,248,248,249,251,250,251,251,251,251,251,252,252,253,253,253,253,253,252,251,249,249,246,247,245,244,242,240,248,249,250,251,252,251,252,253,254,254,254,254,253,253,253,254,254,255,253,253,251,250,249,248,248,247,246,245,248,249,252,253,254,254,255,255,254,253,255,255,255,255,255,255,255,255,255,254,252,251,249,248,247,247,245,246,250,252,253,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,253,251,250,249,248,248,251,253,254,254,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,252,251,248,248,246,247,254,254,255,255,255,255,255,255,255,255,255,255,250,232,242,253,254,251,251,251,251,244,246,244,241,248,233,255,253,255,255,255,255,255,255,255,255,255,255,255,247,223,195,232,248,252,252,251,237,241,239,238,238,240,228,239,255,255,255,255,255,255,255,253,247,248,252,252,255,245,180,172,187,199,201,203,205,200,199,203,203,205,207,211,255,255,255,250,248,248,248,244,237,239,237,231,227,208,180,168,152,152,197,210,222,227,234,243,249,248,249,255,255,255,255,247,242,237,230,230,233,230,223,221,224,200,168,168,176,171,212,255,255,255,255,255,255,255,255,253,255,255,255,246,235,228,227,227,228,228,229,237,252,231,172,149,163,183,166,188,255,255,255,255,255,255,245,185,255,255,250,244,232,222,216,215,222,229,237,238,235,221,186,170,164,166,178,166,188,255,255,255,255,255,186,158,255,252,248,249,237,226,218,215,217,221,228,244,226,194,186,188,184,173,164,167,170,255,255,255,255,247,166,165,255,247,247,245,238,232,225,220,221,217,217,231,239,202,161,167,195,196,180,154,197,255,255,255,243,172,156,139,246,243,241,239,238,236,229,223,223,223,225,239,233,197,172,157,167,189,197,171,194,255,226,214,174,145,142,126,184,198,217,236,242,243,238,230,226,223,222,235,233,200,179,186,179,165,173,180,174,180,160,151,142,134,123,118,103,108,130,183,245,243,239,234,230,225,219,213,216,202,201,203,193,182,173,153,148,148,159,154,142,132,118,112,100,92,87,91,166,237,219,208,204,200,199,186,182,169,170,194,198,197,182,147,115,128,144,136,133,130,126,114,92,87,87,88,81,140,218,220,226,232,240,252,181,136,141,159,189,181,166,153,119,109,130,130,124,126,131,119,86,81,78,78,74,201,255,255,255,255,255,255,247,202,196,186,182,134,156,151,116,102,108,124,120,118,127,125,82,75,74,62,101,188,176,179,180,181,185,187,193,196,196,194,168,116,148,149,112,96,100,112,113,115,123,125,76,73,71,66,94,164,159,159,160,159,162,163,159,156,176,183,152,106,143,140,107,92,102,104,108,109,116,120,78,76,78,61,97,178,169,170,170,170,166,168,171,178,163,151,141,107,133,131,105,88,95,103,103,104,109,115,85,83,76,52,123,179,168,170,172,173,169,169,169,157,142,128,127,113,123,127,102,90,91,98,98,102,105,111
12,184,184,186,189,190,190,191,194,195,195,195,194,194,194,193,192,191,192,191,190,190,189,189,188,187,185,186,186,186,186,189,190,191,192,194,195,196,196,196,196,195,195,196,195,194,192,193,192,192,191,190,189,188,187,187,187,187,188,190,191,193,194,196,197,197,197,198,198,197,197,196,196,197,194,194,193,192,193,191,192,190,190,189,188,189,189,190,192,195,196,196,198,198,198,198,199,201,199,198,198,199,200,197,195,194,194,194,193,192,191,191,190,189,191,192,194,196,197,198,200,201,201,200,200,196,200,203,198,184,175,196,201,200,197,195,196,193,192,192,191,190,192,195,195,197,199,199,201,201,202,203,202,173,148,192,204,168,108,133,197,174,190,202,195,196,195,194,193,192,194,196,198,200,202,203,203,204,202,212,216,175,122,125,202,151,126,90,154,140,105,164,202,195,196,195,194,194,196,197,201,202,203,205,204,203,201,213,206,161,121,100,202,161,137,96,137,145,98,92,189,199,196,196,196,196,196,200,203,203,203,203,205,214,172,178,205,151,110,96,214,206,153,117,134,134,106,84,176,204,197,198,197,197,198,200,202,204,205,204,230,219,179,142,196,192,115,84,236,228,144,123,175,149,112,82,184,205,198,199,199,199,200,202,204,206,205,216,248,219,192,123,191,229,124,97,177,173,99,152,206,147,100,84,194,205,202,201,200,199,202,203,203,208,204,224,235,219,187,123,141,188,124,107,119,159,140,169,168,106,71,108,210,203,204,203,202,201,203,204,206,207,209,242,224,190,151,120,82,96,97,118,136,185,215,178,137,111,73,170,213,203,205,204,203,202,204,207,209,205,233,239,216,161,121,110,81,54,133,213,208,199,184,159,147,146,89,182,212,205,206,204,204,203,204,207,210,205,238,245,201,155,155,119,60,122,228,226,214,191,178,148,139,132,90,186,215,207,207,205,204,204,205,209,211,208,242,246,193,151,179,131,124,213,238,227,214,190,169,153,131,113,87,200,212,210,209,207,207,205,206,209,211,212,250,243,210,196,168,174,201,234,233,224,206,187,161,148,122,101,79,196,215,210,210,208,208,205,208,211,211,217,250,243,223,217,180,174,209,235,228,213,202,176,150,137,116,95,72,188,219,211,212,210,209,208,209,211,213,216,246,243,229,220,186,185,216,223,215,199,189,163,142,127,106,87,72,201,218,213,214,211,210,208,210,211,215,215,241,241,234,219,191,176,208,210,200,194,179,151,129,112,99,66,131,223,212,214,213,212,211,209,210,213,214,212,237,239,233,217,181,171,190,194,193,182,165,136,117,107,79,112,219,217,214,215,214,213,212,209,211,212,219,222,229,235,231,196,160,173,186,191,195,178,154,136,119,91,113,218,219,215,216,216,215,214,213,209,210,218,196,180,230,221,206,185,181,189,187,200,198,173,141,134,109,82,201,225,217,218,216,216,215,215,214,210,211,224,139,63,203,235,213,208,198,180,172,198,186,149,127,123,78,159,230,218,220,219,218,217,217,215,215,210,218,193,114,95,109,202,216,204,188,168,156,180,157,128,119,86,123,231,221,222,220,221,219,219,217,217,216,209,224,149,99,119,71,93,126,119,115,111,115,136,124,112,93,87,216,227,221,221,221,222,221,220,219,218,217,213,206,116,103,114,88,43,78,73,69,59,56,56,64,72,54,82,208,226,222,222,222,221,221,219,218,219,218,218,162,103,106,110,100,33,61,75,71,61,59,55,51,46,42,29,159,235,220,223,221,220,220,219,218,218,217
12,139,140,140,141,141,141,141,141,142,142,142,142,142,142,142,142,141,142,142,142,142,142,141,141,140,139,138,138,142,142,142,143,142,142,143,143,143,144,144,144,144,144,144,143,143,143,144,144,143,144,143,142,142,141,140,139,143,143,143,144,144,144,146,144,145,145,146,147,147,145,146,145,144,145,146,146,145,145,144,144,143,141,141,141,144,145,146,146,145,147,147,146,147,147,150,148,146,148,149,147,145,146,146,147,146,145,145,145,143,143,143,142,146,147,147,148,147,147,148,149,147,146,142,147,153,140,143,151,147,149,147,148,147,148,148,147,146,146,145,144,148,149,149,149,149,149,150,148,159,162,133,107,158,146,109,128,155,150,153,149,149,150,149,148,148,147,147,146,150,150,150,150,151,151,153,148,180,183,157,96,122,176,127,96,151,135,135,153,151,150,152,150,150,149,149,148,150,150,151,153,152,152,152,152,179,186,168,118,92,170,149,110,92,125,92,121,159,151,153,151,152,151,150,149,151,153,154,154,153,155,153,157,178,171,175,141,88,136,157,120,70,90,96,71,154,155,153,153,153,152,151,151,153,154,155,155,155,153,158,148,164,153,165,158,121,84,126,102,56,47,78,65,146,157,155,155,154,154,153,152,153,155,156,157,151,164,181,124,103,121,134,134,93,59,76,80,60,121,86,66,154,157,156,156,155,154,155,154,154,156,157,155,171,190,163,114,88,106,88,112,106,85,114,140,139,129,73,76,162,158,159,158,156,155,155,156,155,157,155,164,184,165,158,128,96,65,67,71,107,119,133,168,178,152,90,94,171,157,160,159,158,158,157,156,156,158,155,179,166,146,165,142,103,64,67,69,60,68,99,166,179,180,143,96,133,166,159,160,159,158,158,158,156,155,163,178,160,130,163,144,124,78,62,76,80,86,131,160,162,153,139,125,84,151,163,160,160,159,159,159,158,155,170,185,162,127,116,163,153,96,63,79,96,143,171,159,158,128,118,133,82,133,169,160,161,161,160,160,160,158,166,189,176,152,110,122,144,148,89,80,161,174,161,157,148,124,101,98,76,153,165,161,161,161,160,160,159,158,165,191,184,160,132,123,112,119,109,155,188,171,160,151,135,116,91,67,96,170,163,164,162,162,161,161,160,158,164,185,185,173,147,141,127,99,145,186,179,175,147,135,118,111,82,58,134,170,164,165,163,162,162,162,160,160,161,179,183,182,164,149,137,126,133,179,175,166,137,115,111,106,71,78,166,165,165,164,164,164,163,162,159,160,155,170,189,185,170,155,140,137,131,173,167,147,126,100,115,98,57,116,174,164,165,164,165,164,164,164,157,160,156,152,186,176,161,152,143,140,138,156,154,126,110,107,112,83,61,155,169,166,165,164,165,165,165,164,159,160,161,150,180,165,152,147,146,141,137,143,139,126,107,107,101,62,96,173,164,165,165,165,165,164,163,163,161,160,161,157,177,166,157,158,153,142,133,140,146,128,97,90,78,67,154,169,165,165,165,165,165,164,163,162,161,160,161,156,177,172,164,164,153,148,130,142,148,108,82,80,61,128,173,166,167,166,166,166,165,165,165,164,160,161,162,155,178,177,168,170,155,156,127,138,136,99,81,62,94,174,167,167,167,166,167,167,166,165,165,165,160,160,163,154,171,184,173,174,159,156,125,125,127,101,75,59,149,172,166,167,166,167,167,167,166,165,166,165,157,159,162,155,168,186,169,165,157,150,120,114,126,98,62,81,172,167,167,167,167,168,167,166,166,165,166,166
13,175,178,180,181,182,183,185,187,187,186,186,187,187,188,189,188,188,190,189,188,188,188,188,189,189,188,188,188,177,179,181,183,185,186,187,188,188,188,189,188,189,188,181,184,191,190,189,190,190,190,191,191,191,191,190,189,179,181,183,184,186,187,188,188,189,190,192,191,195,186,148,121,173,194,192,191,192,193,193,193,193,193,192,192,180,183,186,186,188,189,190,190,192,187,172,176,201,191,147,90,140,194,190,194,194,195,195,195,195,195,195,195,181,184,186,187,189,192,192,191,205,190,144,125,176,187,146,90,119,139,132,158,195,197,196,195,194,195,195,195,183,185,187,189,191,193,193,188,207,200,158,120,168,188,138,85,107,146,110,83,171,200,198,197,196,197,197,197,185,185,188,191,191,192,194,164,133,155,170,123,162,186,130,84,156,165,117,72,140,203,200,199,199,200,200,199,186,188,191,192,193,200,202,164,125,102,155,121,154,197,131,106,175,153,112,73,142,204,201,201,201,202,202,201,188,192,193,193,199,199,197,179,139,96,132,128,126,164,115,111,182,157,106,69,160,205,202,202,203,203,203,202,190,193,194,196,202,176,181,183,138,94,106,134,87,56,62,118,188,155,92,75,179,204,203,203,203,204,203,203,191,193,194,201,204,178,158,173,140,90,87,128,90,23,64,141,155,110,68,90,196,205,205,205,203,204,205,204,194,195,197,209,200,171,140,173,136,90,80,115,95,38,68,153,167,131,90,124,208,207,207,207,206,205,206,205,194,195,198,215,202,170,132,161,130,90,75,116,106,81,152,163,158,145,121,107,196,208,208,208,207,206,207,207,194,196,200,216,196,163,128,140,130,99,76,145,134,135,190,176,150,126,106,86,168,211,210,209,208,208,208,208,196,197,202,215,197,172,149,129,127,119,66,141,161,186,190,170,144,111,92,85,177,211,210,210,210,209,209,208,196,198,205,216,199,178,159,133,107,93,78,163,198,206,187,160,134,104,86,96,197,211,211,211,212,210,210,209,197,198,206,216,199,178,163,151,120,110,126,196,207,205,177,148,123,96,83,120,209,212,212,212,212,211,210,211,198,198,204,211,200,182,169,161,132,119,127,193,207,193,159,132,110,89,85,165,216,214,215,213,212,212,212,212,198,199,201,204,201,186,172,165,141,120,130,191,202,178,147,121,101,83,118,206,216,216,215,214,213,213,214,213,198,199,200,204,203,188,173,165,145,123,141,179,190,161,138,111,93,82,169,216,214,216,215,214,214,214,214,213,197,199,200,204,203,188,171,161,143,123,146,170,166,144,126,103,87,101,201,214,214,214,214,214,214,214,214,214,197,199,199,205,202,181,166,151,131,122,150,155,142,130,114,96,84,149,215,215,214,214,214,214,214,214,213,214,198,199,195,207,196,173,162,140,125,128,152,143,132,122,104,89,112,198,214,214,214,215,215,215,215,214,214,214,197,196,195,214,192,175,162,140,134,143,154,137,127,109,94,94,175,214,214,215,214,215,215,215,215,215,215,214,197,194,201,217,195,185,166,142,144,152,143,126,115,94,83,141,208,214,214,214,214,215,215,215,216,215,215,215,198,192,202,205,190,187,169,148,151,148,131,113,98,84,98,193,215,214,214,214,214,216,216,216,216,215,215,215,196,187,200,193,177,174,162,144,143,143,121,98,90,76,144,211,214,215,214,214,215,215,216,217,216,216,216,216,151,166,201,187,168,152,144,134,141,145,110,93,86,80,168,205,208,211,212,213,215,215,217,217,216,217,214,207
1,211,212,213,213,213,215,217,216,218,218,218,216,202,214,217,216,215,214,213,213,212,212,211,209,208,207,206,205,214,215,215,216,218,219,219,220,220,224,227,221,175,163,225,219,222,219,218,218,217,216,215,214,214,213,211,208,217,219,219,220,222,222,222,224,225,211,206,232,195,115,145,168,223,225,222,222,221,220,219,218,216,216,215,213,220,221,223,222,224,225,226,226,229,204,135,216,210,105,124,143,173,238,221,224,223,222,221,221,219,216,217,216,222,224,225,226,227,228,230,230,229,221,137,186,216,114,134,169,118,233,228,228,227,225,224,222,222,221,219,219,224,227,228,230,231,231,231,233,231,233,151,153,223,139,146,184,109,213,237,229,230,228,229,228,225,224,223,223,227,229,230,231,232,233,234,223,220,240,170,132,203,139,155,204,123,189,243,230,232,231,231,230,230,228,226,224,230,231,231,232,233,235,238,201,155,240,188,113,187,141,144,202,131,176,249,233,236,234,232,232,231,231,230,226,231,233,234,235,235,238,240,218,133,218,192,106,194,169,112,205,150,165,249,234,237,235,234,235,234,233,232,231,232,235,237,237,238,238,242,221,135,202,216,120,169,181,109,200,183,155,251,236,238,237,236,237,237,236,234,233,234,237,238,238,239,239,244,227,139,189,227,125,124,165,152,197,155,140,241,242,241,240,239,238,239,238,237,237,236,240,241,240,242,241,243,231,155,149,218,127,128,156,157,181,132,128,131,170,253,240,240,239,239,237,237,238,239,241,243,243,245,245,241,240,171,122,197,154,159,149,160,174,165,139,104,110,229,247,242,242,241,238,238,239,239,241,243,244,245,247,243,237,187,163,178,151,162,149,182,208,163,114,155,143,168,255,241,244,243,241,240,239,241,244,245,247,246,247,248,243,209,174,165,144,157,160,187,198,170,169,226,191,140,238,247,244,244,244,242,241,242,245,248,247,249,249,249,250,216,170,149,141,154,165,196,205,208,199,184,204,133,182,255,243,244,244,243,244,244,245,247,247,249,250,248,253,229,177,136,143,158,170,212,214,237,235,196,164,113,117,254,246,246,245,244,244,245,247,249,250,250,254,249,251,252,198,144,146,160,190,210,220,231,224,195,161,106,100,244,252,249,245,245,246,245,247,250,252,250,253,252,248,255,227,172,141,163,200,217,235,239,220,194,169,102,131,255,249,251,248,248,247,247,248,251,254,254,255,255,244,255,251,205,156,157,189,226,247,241,224,210,166,93,174,255,249,252,251,251,248,247,249,252,254,255,255,255,244,255,255,226,177,167,185,227,252,244,237,207,150,91,216,255,251,253,252,251,248,249,252,253,255,255,255,255,249,244,255,241,192,178,184,222,241,254,236,187,128,106,250,255,254,254,254,253,249,250,254,253,255,255,255,255,255,229,241,243,205,179,177,210,235,235,205,158,101,141,255,255,255,255,255,254,252,248,252,252,254,255,255,255,255,235,221,228,207,187,179,189,206,195,156,117,89,215,255,255,255,255,254,255,253,248,252,252,254,255,255,255,255,255,214,216,208,194,188,165,167,173,138,88,157,255,255,255,255,255,254,253,250,250,253,253,254,255,255,255,255,255,231,224,206,186,183,152,151,157,118,90,237,255,255,255,255,255,254,253,250,250,252,253,254,255,255,255,255,255,235,226,195,177,179,161,153,137,94,127,255,255,255,255,255,255,255,255,251,250,252,254,255,255,255,255,255,255,233,235,223,201,200,175,161,127,85,152,255,255,255,255,255,255,255,255,252
24,167,169,172,173,174,174,176,176,176,176,176,176,175,175,175,173,172,172,171,171,170,167,166,166,164,163,161,161,168,171,174,174,175,176,177,178,178,177,177,177,177,176,175,175,174,174,174,174,171,169,169,168,168,165,165,163,170,172,174,176,177,178,178,180,181,179,180,181,181,180,178,177,176,176,175,174,174,172,170,171,170,168,166,165,171,173,175,177,179,179,180,181,181,180,181,181,181,181,180,179,179,177,175,176,174,174,173,172,170,169,168,167,173,174,176,177,178,177,181,184,183,182,182,182,182,182,180,179,179,177,177,177,175,175,174,173,173,171,170,168,174,175,178,176,191,162,137,189,183,184,184,183,183,183,182,181,181,179,178,178,178,177,176,174,174,173,171,170,175,177,180,177,200,140,119,191,183,184,184,185,184,184,183,182,182,181,179,178,178,178,177,176,175,173,173,172,175,177,180,181,197,117,135,193,183,185,186,186,188,184,183,182,182,181,180,180,180,179,177,176,176,175,174,173,178,180,180,187,194,116,145,194,185,187,186,184,180,188,186,183,184,183,182,182,181,180,178,177,176,176,175,174,180,181,182,191,193,113,150,201,187,187,194,191,158,128,185,187,183,184,183,183,184,183,184,181,177,176,176,175,181,182,182,193,179,132,155,167,191,152,153,194,175,126,109,186,187,185,185,183,173,160,151,173,182,178,178,177,180,185,183,196,190,196,189,159,207,158,112,182,187,139,73,132,195,185,182,162,123,107,92,124,188,180,180,177,181,186,185,196,195,217,190,182,207,173,108,175,181,127,74,95,187,184,176,134,94,96,123,154,183,181,180,178,184,187,186,197,189,224,196,194,214,168,91,135,144,101,56,69,164,185,158,111,92,165,188,185,182,182,181,180,185,190,187,201,219,221,187,197,223,155,98,43,97,134,106,117,161,161,124,94,150,196,184,185,184,183,182,181,185,190,189,207,213,201,166,152,187,127,81,78,171,189,174,163,159,130,93,120,193,187,189,187,186,185,183,181,186,188,194,205,179,182,156,114,110,114,160,209,204,184,169,149,138,121,94,178,193,189,190,189,188,186,184,183,188,187,199,219,190,176,162,143,107,209,226,210,200,181,153,134,121,107,138,199,190,191,189,188,189,186,185,184,189,186,206,226,201,177,160,171,215,233,213,207,194,168,140,118,115,108,186,197,192,192,190,189,189,187,185,186,189,187,216,230,206,192,193,221,234,224,215,201,180,153,121,117,98,137,203,194,195,192,191,191,190,189,188,187,190,188,221,231,211,201,217,233,232,220,211,188,162,131,117,107,106,191,198,196,196,194,192,191,190,191,190,188,192,188,220,237,216,203,223,230,216,196,189,168,139,121,108,103,179,203,198,198,197,196,194,193,192,192,190,188,192,189,215,241,219,201,211,215,205,179,166,146,123,112,106,179,206,198,199,198,197,196,195,195,193,191,191,189,192,192,206,222,205,200,215,217,205,180,165,137,112,89,168,210,201,202,200,199,199,198,197,195,194,194,191,190,192,194,199,206,199,208,213,205,201,173,152,126,84,115,209,203,204,202,202,199,200,199,197,196,195,195,192,191,193,195,197,212,222,213,207,195,197,169,142,111,74,164,211,204,205,204,204,201,200,199,198,198,196,193,193,192,193,195,197,225,224,198,205,194,183,162,140,99,86,194,209,206,205,206,205,202,201,200,199,198,197,196,195,192,190,193,195,232,222,187,211,188,172,162,133,102,89,196,207,204,204,205,203,202,199,199,199,198,197,196,194,192
1,143,145,148,150,151,152,153,153,153,153,155,156,156,156,155,156,156,156,159,157,156,157,158,156,155,155,155,155,147,149,151,154,155,155,155,157,157,157,159,159,158,158,161,160,162,158,147,160,159,160,161,160,159,157,159,158,151,152,156,158,158,159,159,161,161,163,163,163,162,166,140,152,176,170,96,157,166,163,162,162,162,161,159,159,154,156,160,161,161,162,164,164,164,164,165,163,172,186,106,137,186,158,88,160,161,167,166,165,164,163,161,161,158,160,165,165,166,167,168,167,168,169,169,166,184,179,99,147,187,138,96,170,131,128,175,166,168,166,165,165,162,164,168,169,171,171,171,171,171,173,167,135,179,164,99,162,187,122,106,180,137,96,178,170,170,169,168,167,164,167,171,172,173,174,175,175,174,186,166,109,155,153,105,174,195,126,125,191,138,95,177,174,173,173,172,171,168,171,173,174,174,179,179,179,176,195,156,105,151,150,116,177,184,121,138,195,128,100,181,176,176,175,174,173,171,173,175,177,179,182,180,180,179,195,141,110,145,131,109,163,167,110,151,199,126,107,187,179,179,178,177,175,173,176,178,180,182,184,184,182,182,201,144,120,138,133,91,171,165,107,171,194,125,117,194,183,182,181,181,180,176,179,180,183,184,186,186,186,187,201,133,110,141,152,94,185,170,114,184,180,117,130,196,185,187,186,184,183,179,181,182,185,186,188,187,186,191,206,153,104,126,137,86,176,146,119,196,186,114,146,197,186,188,187,187,186,181,184,186,187,189,190,190,187,193,206,147,93,124,120,88,157,122,133,199,177,110,163,199,191,191,189,188,187,182,185,188,190,192,192,193,190,197,207,159,127,151,178,166,178,176,129,152,173,104,177,198,194,193,192,191,189,183,187,188,191,194,194,195,192,206,207,165,138,110,147,188,185,187,156,105,136,105,191,198,196,194,193,194,193,187,188,192,193,194,196,196,194,214,193,151,121,96,91,122,137,196,195,131,75,105,203,198,198,198,196,194,193,187,190,193,194,196,197,197,197,220,194,152,113,103,108,115,140,203,215,176,81,120,211,198,199,199,198,197,196,190,193,195,197,199,200,199,202,222,193,144,118,117,121,151,186,176,206,186,107,131,214,199,202,200,200,200,199,192,195,197,198,199,201,201,206,220,187,148,116,128,126,178,208,189,169,152,117,101,206,203,202,202,200,201,201,194,196,198,198,199,200,202,210,218,190,153,130,133,146,205,209,184,161,123,95,107,210,204,204,204,203,203,202,196,197,199,200,201,203,204,210,217,190,154,141,128,164,218,214,174,146,113,76,124,217,205,207,206,205,205,204,198,199,200,202,203,204,205,208,214,187,159,149,131,161,218,208,163,135,103,74,161,218,207,208,207,207,206,205,198,199,201,204,205,206,205,206,207,188,168,161,134,155,216,185,151,120,90,99,210,211,209,208,208,207,207,207,197,200,202,204,204,205,207,208,205,192,170,164,131,162,206,172,146,108,76,146,221,209,211,209,209,209,211,209,198,201,204,206,206,206,209,208,213,194,173,160,123,164,186,157,134,97,80,191,219,211,212,210,210,211,211,209,199,201,205,207,208,209,208,206,216,198,181,152,127,162,157,138,122,81,111,219,214,214,214,213,213,212,212,211,199,201,202,206,207,209,202,210,215,213,191,154,139,160,145,133,111,79,173,221,214,215,215,216,216,214,213,212,198,202,203,204,205,205,201,211,207,201,186,154,148,147,136,121,85,123,221,215,216,215,216,216,215,214,214,213
1,0,12,16,25,37,58,72,83,89,93,98,99,103,109,113,113,116,122,121,121,124,126,125,127,128,129,129,129,0,12,17,27,39,63,75,83,90,95,100,101,104,110,110,130,96,79,129,126,124,127,128,129,129,129,129,129,0,12,20,29,41,64,76,84,91,97,101,104,109,113,114,146,80,39,106,100,131,128,130,131,131,131,131,131,2,13,22,30,44,67,76,86,93,98,102,104,109,121,97,138,78,64,97,53,133,130,131,133,133,133,132,132,5,14,22,31,47,70,80,88,94,100,104,106,112,135,71,128,73,76,113,47,124,133,133,134,134,134,134,134,7,15,22,32,49,72,83,90,96,101,106,103,126,125,69,137,76,80,116,43,117,138,134,136,137,137,136,136,10,18,24,34,53,74,82,91,97,102,108,105,134,113,60,131,70,82,124,50,115,142,136,138,138,139,138,138,12,18,25,36,56,75,84,93,99,100,125,100,111,102,62,134,71,79,115,47,112,144,138,140,140,140,141,139,12,18,26,37,59,74,85,95,99,103,138,67,110,85,88,142,64,83,128,45,110,146,139,141,141,141,142,141,14,20,29,38,62,75,86,97,97,117,131,50,115,69,115,136,55,103,144,49,112,147,141,143,143,143,145,144,14,20,29,41,65,77,86,97,95,139,110,54,132,70,100,107,36,110,127,46,118,149,144,145,146,146,145,145,16,21,31,43,65,79,88,97,100,150,88,53,121,44,88,85,31,124,116,40,125,149,145,146,146,147,146,147,16,24,33,45,68,79,90,95,111,155,78,44,102,89,92,100,117,128,108,39,130,149,147,149,147,148,148,148,18,24,33,48,70,80,92,92,130,146,72,62,110,140,90,107,118,112,93,37,134,150,148,150,148,149,148,149,18,25,34,50,72,82,92,92,145,146,125,113,134,135,126,113,92,86,69,36,132,151,148,150,151,152,152,151,19,26,35,51,73,83,91,100,161,127,112,114,105,94,143,145,128,95,63,32,133,152,149,152,153,153,153,152,21,28,35,53,74,85,87,126,161,104,77,69,50,48,134,136,130,113,78,32,134,152,150,152,152,154,154,154,21,28,37,56,77,87,85,144,150,98,93,100,84,124,154,141,113,93,65,17,117,160,152,154,154,155,156,155,21,29,37,59,78,86,87,149,156,116,95,100,131,182,160,129,104,63,45,12,78,166,152,155,156,156,156,156,21,30,37,60,76,88,89,146,170,133,108,101,138,187,164,123,96,55,30,13,61,165,153,156,157,157,157,157,23,31,38,61,75,87,90,137,171,132,116,105,131,178,153,122,84,53,27,8,90,166,154,158,158,157,158,159,24,32,42,63,78,89,93,128,166,131,123,109,116,161,144,112,74,49,26,22,141,162,157,158,160,160,160,161,24,32,42,64,78,88,95,116,160,139,135,121,134,155,123,92,63,43,15,72,167,158,160,160,162,161,161,161,23,33,42,66,78,88,99,107,144,139,132,117,133,139,105,76,55,37,14,122,165,159,161,162,162,163,164,163,25,32,43,67,80,91,99,103,131,135,127,113,102,109,93,68,57,32,26,147,162,161,163,164,164,164,164,164,24,30,41,64,76,90,99,102,116,132,124,111,101,103,100,81,58,22,44,159,157,160,161,164,164,164,163,163,23,29,41,65,73,86,97,104,119,138,133,122,114,101,100,86,52,16,73,166,154,158,161,162,162,163,163,163,22,28,42,64,74,87,98,101,154,138,128,135,116,99,78,68,48,7,76,167,154,159,161,163,163,163,164,164
8,104,112,118,123,127,131,134,136,138,140,142,144,146,149,151,152,155,156,157,158,158,159,161,163,163,163,163,163,106,113,118,124,128,132,136,137,138,146,133,136,148,150,152,154,156,157,158,158,159,161,163,164,163,164,163,163,108,115,120,125,130,134,138,138,146,166,117,103,152,151,152,155,157,158,159,160,163,164,163,164,164,164,164,164,108,116,122,128,130,135,138,136,157,156,99,98,154,152,153,156,158,158,159,162,164,163,166,165,165,165,165,166,110,115,123,130,132,136,138,136,173,136,83,116,156,153,154,157,160,161,162,164,165,164,146,161,167,165,167,167,114,117,124,130,133,137,139,144,176,120,79,133,156,156,157,158,160,163,165,164,174,161,91,133,172,167,168,168,115,118,125,129,132,138,139,156,174,122,82,148,156,156,158,160,165,164,165,164,184,153,76,128,175,170,171,170,115,120,126,131,136,140,138,166,165,118,87,152,152,157,160,151,143,159,165,152,184,156,94,121,177,171,171,171,115,122,128,132,137,140,137,177,158,108,101,150,127,133,166,147,115,114,158,137,180,164,129,98,165,174,174,174,117,124,131,133,136,141,139,188,163,121,163,157,130,115,163,148,109,104,147,127,155,176,138,93,125,178,173,175,118,124,130,133,138,142,144,195,163,143,199,164,125,117,159,135,93,105,137,108,160,185,141,94,105,182,175,177,118,125,130,135,139,141,151,188,153,128,197,173,114,124,156,121,79,103,127,98,182,182,141,90,118,183,177,178,120,126,131,134,138,140,154,182,163,140,180,164,99,137,152,110,79,81,118,99,184,171,131,82,125,184,179,179,120,127,133,135,141,140,164,184,177,168,180,162,118,138,164,124,76,84,118,130,176,151,116,78,137,184,180,181,121,126,133,135,139,141,183,175,170,154,169,173,136,150,179,134,78,105,141,165,169,139,105,76,151,183,180,181,119,126,133,138,139,149,183,148,142,134,144,150,116,145,142,108,132,166,168,147,149,135,104,74,155,185,181,181,121,127,133,137,139,167,181,151,136,124,106,103,98,105,136,170,183,169,161,134,121,121,101,70,160,185,181,183,122,129,133,138,137,192,180,159,141,118,104,100,109,158,204,205,179,162,148,119,102,101,88,79,180,184,183,184,122,130,134,138,148,204,182,163,141,120,106,91,143,205,208,200,177,150,131,107,92,91,73,117,188,184,184,185,123,131,136,135,168,207,179,162,144,130,116,123,191,203,201,188,163,138,118,97,84,85,68,164,188,185,185,186,124,131,138,133,184,209,179,161,151,142,136,172,197,196,189,176,150,126,109,89,80,77,73,178,189,184,186,188,125,131,138,133,197,206,181,169,163,156,173,194,201,185,170,160,138,116,100,83,79,72,92,187,187,186,187,188,126,132,138,135,204,208,183,170,160,163,190,201,196,170,156,147,127,108,91,80,76,67,141,190,187,189,189,188,127,133,139,136,197,210,190,173,161,164,187,193,176,159,146,136,117,98,85,77,68,108,184,186,187,188,189,190,125,132,138,137,189,210,192,178,163,160,176,179,169,157,138,131,111,92,80,71,95,178,187,187,187,189,189,190,126,133,138,139,177,200,177,170,160,160,166,174,172,159,140,129,109,87,70,75,164,189,187,187,188,189,190,190,126,133,139,139,167,184,176,168,170,170,157,163,165,150,132,121,100,74,60,139,186,186,187,188,188,189,190,191,127,134,140,140,164,190,186,177,180,172,154,155,161,146,125,112,90,59,94,181,185,187,188,189,190,190,190,191
21,72,78,87,101,116,124,131,135,139,142,144,147,150,154,157,159,160,162,164,165,166,166,167,167,168,168,168,168,73,80,89,104,117,126,132,136,140,143,145,149,152,155,150,160,163,164,165,166,168,169,169,169,169,169,169,169,75,82,90,106,119,128,134,138,142,145,147,151,161,160,108,151,166,166,167,168,170,171,171,170,171,172,171,171,76,84,92,109,121,128,135,140,143,146,150,152,169,161,101,145,169,168,169,171,173,173,172,172,173,173,173,173,77,84,94,111,122,130,136,141,146,149,152,154,171,161,106,142,169,170,171,172,175,175,175,176,177,175,175,174,78,86,96,112,123,132,137,142,147,150,152,155,174,167,112,141,172,171,173,173,177,177,170,161,175,177,177,177,80,88,98,114,124,133,139,144,148,150,153,156,175,167,115,135,174,174,176,176,177,175,145,110,161,180,179,179,81,89,101,117,126,134,140,145,149,150,154,157,176,166,117,125,174,174,177,177,179,163,124,112,173,181,180,180,83,89,102,118,127,134,141,147,150,151,155,159,182,169,118,122,175,175,178,181,176,144,108,153,184,182,181,181,84,91,104,120,129,136,142,148,151,152,156,160,188,172,124,127,176,176,179,176,157,122,129,182,184,183,183,182,84,92,107,121,130,138,144,148,151,154,163,147,170,155,118,124,177,178,181,171,136,109,167,186,185,185,185,184,86,93,108,121,131,138,144,149,153,161,158,125,121,116,104,124,177,178,179,159,114,138,186,185,186,186,185,185,87,95,109,122,131,139,145,150,163,176,137,118,91,85,90,122,161,165,162,127,112,176,186,187,187,187,186,186,88,95,111,123,132,139,146,153,184,190,166,138,93,71,84,113,141,143,126,98,151,187,186,187,187,188,187,187,88,96,113,124,132,140,146,159,190,198,195,140,95,72,79,100,118,120,98,117,183,188,188,188,188,188,189,189,89,97,113,124,133,140,146,166,175,165,169,128,93,78,77,91,102,102,94,166,189,189,188,189,189,189,190,189,90,98,115,125,133,141,148,182,166,122,136,137,104,83,78,82,89,82,119,188,188,189,190,190,190,190,190,189,91,99,116,126,134,141,153,181,142,113,120,150,116,90,80,76,81,78,143,191,190,190,190,190,190,191,192,190,91,101,118,126,135,140,164,182,151,140,140,170,132,110,89,76,77,79,152,192,191,192,191,191,191,191,192,190,91,102,117,125,136,141,174,186,166,141,175,193,140,123,94,75,75,82,164,191,191,192,193,193,193,193,192,191,92,103,119,127,136,142,183,195,164,150,202,178,135,120,95,76,74,88,177,192,192,192,193,193,193,193,193,192,93,104,119,127,136,143,188,187,156,161,195,162,130,113,99,79,73,107,188,192,192,192,193,193,194,194,193,193,92,104,118,127,137,144,181,173,164,162,191,158,143,110,91,79,73,137,192,192,192,192,193,194,195,194,194,194,92,105,119,130,139,144,170,177,179,162,191,151,137,110,84,77,77,159,192,191,193,193,194,195,195,195,194,194,92,107,120,130,138,145,163,192,173,157,179,137,117,95,79,74,85,173,192,192,193,194,195,196,196,196,195,195,91,107,120,129,137,145,158,185,166,148,159,127,105,90,78,69,99,183,191,193,194,195,196,196,196,196,195,195,89,105,117,127,136,145,153,169,156,149,150,134,117,97,80,66,110,186,189,190,193,193,194,195,195,195,195,195,89,105,116,127,136,145,151,162,159,154,151,144,129,100,78,63,116,187,187,189,192,193,194,194,194,195,195,194
20,132,134,136,140,142,144,147,148,151,154,153,154,155,157,159,159,145,160,163,165,165,166,167,167,167,167,169,168,133,136,139,141,143,146,149,150,152,155,156,157,158,158,162,166,121,139,144,158,167,168,168,168,168,168,169,169,134,137,142,144,145,148,150,152,153,155,158,160,160,160,166,172,126,150,131,124,169,169,170,169,169,169,169,169,135,138,142,144,146,149,151,153,154,157,159,159,160,163,169,168,129,169,143,111,169,170,171,171,171,170,171,171,137,139,142,145,147,149,152,154,157,159,159,160,163,164,178,177,141,171,145,110,169,171,171,172,172,172,171,172,137,140,144,146,148,150,153,155,157,159,160,161,163,164,187,177,145,182,152,113,170,173,172,173,172,172,172,173,138,142,145,147,149,152,154,157,158,160,162,162,164,165,188,164,146,184,151,110,170,175,175,174,174,174,174,175,139,142,145,148,150,152,155,158,161,162,165,142,139,164,184,153,143,179,145,107,171,176,176,176,177,176,176,176,139,143,146,148,151,154,156,159,161,163,167,145,105,138,177,149,147,177,141,107,173,177,177,177,177,177,177,177,140,144,147,149,152,155,156,159,159,155,170,148,128,114,127,130,138,164,137,113,174,177,178,178,178,178,177,178,141,144,147,149,153,156,155,176,169,130,149,163,163,142,107,96,111,144,131,115,177,178,179,179,179,179,179,178,141,145,148,150,153,157,159,178,172,140,135,154,169,157,122,83,97,123,118,115,179,179,179,180,180,179,180,179,142,146,150,152,155,158,161,171,150,152,112,88,141,172,148,104,95,106,103,115,181,181,181,181,181,181,182,181,142,146,150,152,154,158,163,172,126,116,99,78,105,179,171,129,89,96,96,110,181,181,182,182,182,182,181,181,142,146,150,153,155,158,163,173,152,133,112,93,109,166,187,152,103,89,90,109,182,182,183,183,183,183,182,182,143,147,151,152,156,159,169,188,159,132,114,107,127,152,197,166,125,88,83,103,182,183,184,184,184,184,183,183,144,148,151,153,157,160,174,183,148,126,119,123,138,177,194,166,135,94,78,104,184,183,184,184,184,184,183,183,144,149,152,154,157,159,177,184,156,135,133,130,155,207,188,157,135,95,76,109,184,184,184,184,184,184,184,184,144,150,154,155,157,160,180,188,160,142,137,143,178,210,189,154,132,100,77,121,184,185,186,186,186,186,185,185,145,151,153,156,158,160,178,193,168,146,139,159,190,197,183,157,131,101,76,134,184,185,186,186,186,185,184,184,146,149,152,155,158,160,178,196,170,157,148,164,196,189,175,156,125,101,76,153,185,185,186,186,186,185,185,185,146,150,153,156,158,162,176,196,176,170,161,162,196,187,171,155,122,97,77,166,185,186,186,186,186,186,185,185,146,151,154,157,158,162,169,194,184,181,175,161,187,178,166,153,125,92,78,167,186,186,186,186,186,186,186,185,147,150,154,156,159,164,165,185,188,184,177,167,171,176,160,153,122,93,81,171,186,187,187,186,186,186,186,186,147,151,154,156,159,164,164,178,190,180,167,160,165,171,153,159,129,94,91,180,186,187,187,188,187,187,187,187,147,151,154,156,159,164,165,176,186,169,160,151,161,169,149,161,129,93,110,185,186,187,187,188,187,187,187,187,147,151,152,156,159,164,167,178,184,166,158,150,159,172,145,158,121,89,139,186,186,188,188,189,188,187,187,187,146,151,153,157,158,164,166,181,192,178,167,157,160,174,137,150,113,87,166,186,187,188,189,188,188,188,188,188
15,97,105,115,122,124,128,134,140,146,150,153,157,161,164,167,171,174,177,180,182,184,186,188,189,190,191,192,193,99,106,116,122,125,128,134,141,147,151,155,158,162,165,169,172,174,178,181,183,185,187,189,189,191,192,193,194,100,107,116,122,125,128,135,142,147,152,156,159,162,166,170,173,176,179,182,184,186,188,190,191,192,194,194,195,101,109,117,123,126,130,136,142,148,153,158,161,164,167,171,174,177,180,183,186,188,190,191,193,194,195,196,196,102,110,120,128,128,131,136,141,147,153,157,160,163,167,171,175,179,181,184,187,188,190,192,194,195,196,197,198,102,111,128,144,134,131,136,140,147,154,156,157,158,160,163,169,175,179,183,186,188,191,193,194,196,198,199,199,104,113,130,142,128,122,128,136,148,156,161,166,168,164,159,159,163,168,174,176,176,181,190,194,196,198,199,200,106,114,124,123,111,111,117,125,139,151,159,172,180,174,169,168,171,173,172,172,163,155,159,178,194,198,200,201,107,115,122,124,124,127,128,130,136,143,149,163,176,180,182,183,183,182,180,173,173,159,131,132,169,196,201,201,108,115,122,126,130,136,142,147,151,154,155,155,152,158,172,185,180,168,174,164,171,172,127,114,128,171,198,202,108,115,123,127,130,136,143,149,154,158,166,160,133,122,129,149,165,153,148,146,165,175,125,118,128,134,176,200,108,115,122,126,130,136,143,149,154,160,180,163,125,112,118,136,156,147,125,123,145,154,123,122,141,122,133,184,108,116,122,126,130,137,143,149,154,163,190,169,124,117,132,150,160,146,124,119,122,122,120,129,139,117,98,138,109,117,123,126,130,137,144,150,155,169,196,192,154,137,139,146,149,135,121,119,120,120,123,134,140,117,86,87,109,117,124,127,131,138,144,150,156,182,202,203,191,166,134,115,110,105,100,103,112,123,133,141,142,123,89,75,110,118,124,127,131,138,145,151,158,182,204,202,195,187,161,113,71,65,63,69,85,109,133,139,133,118,92,82,110,118,124,128,131,138,145,152,157,173,199,203,188,183,184,142,70,46,44,48,56,83,122,134,128,115,100,93,109,117,123,126,131,137,144,150,155,169,193,198,187,174,176,132,71,47,43,48,50,75,121,139,138,130,119,108,104,110,115,119,123,128,134,140,146,167,195,195,180,165,155,114,69,49,46,51,54,72,111,136,142,139,130,119,86,90,94,96,98,101,103,107,111,129,171,192,180,156,145,124,77,52,51,54,62,73,94,118,131,134,130,120,83,84,86,87,88,90,90,90,90,97,122,147,153,147,137,124,90,61,54,54,63,75,84,101,118,125,123,116,87,87,88,89,90,92,92,92,92,96,100,105,110,113,109,106,96,72,61,57,64,77,84,94,113,121,117,110,88,88,88,90,91,92,93,93,94,96,97,98,98,100,105,110,113,99,89,84,85,93,95,97,112,119,113,105,89,89,90,91,91,92,93,93,94,95,96,96,97,97,102,115,127,131,134,126,122,132,132,126,125,124,112,101,88,89,90,91,91,92,93,94,94,96,97,97,97,97,98,101,110,131,145,144,156,168,168,161,148,136,119,103,87,88,89,90,91,92,94,94,95,96,98,98,97,98,99,99,100,108,119,133,159,175,174,166,150,132,118,109,87,88,88,89,90,92,93,93,94,95,97,98,97,98,98,99,99,100,102,110,125,139,151,143,131,122,118,119,87,87,88,89,91,92,93,93,94,95,96,96,96,97,97,99,100,100,100,101,102,109,126,122,124,131,129,121
5,161,162,164,165,167,168,168,168,169,168,167,168,168,165,167,166,166,164,164,163,161,160,159,158,157,156,156,154,164,165,166,167,169,169,169,170,169,169,169,167,171,169,168,167,167,167,165,164,162,162,162,160,159,158,156,156,164,167,168,169,170,171,170,170,172,171,171,179,142,163,171,169,169,169,168,166,164,163,163,162,161,160,158,158,167,168,169,171,172,172,173,176,174,172,175,188,114,140,177,170,170,169,168,166,166,165,164,164,162,162,161,159,169,170,170,172,171,179,174,145,180,172,183,184,101,142,178,171,172,170,169,169,168,167,167,165,164,164,161,160,170,171,172,175,171,193,159,108,179,173,186,160,94,163,178,174,174,173,170,171,171,169,168,167,166,165,163,161,171,173,175,174,177,199,124,114,183,177,177,141,103,179,177,177,174,171,182,149,157,174,169,169,168,167,165,164,172,174,177,174,190,177,89,158,187,171,158,124,114,182,179,175,173,185,176,109,137,180,171,171,169,168,166,166,174,175,178,174,204,172,92,179,185,159,145,98,138,189,164,164,170,154,107,114,170,176,174,173,171,169,167,167,176,177,178,178,215,160,96,181,180,153,134,89,168,147,151,173,127,91,130,174,178,175,175,174,172,170,169,168,177,179,180,185,213,130,96,194,159,157,139,101,120,115,139,124,93,145,188,178,177,176,176,175,173,171,170,169,178,180,182,183,206,183,99,158,148,146,122,91,93,107,85,105,158,185,180,180,178,177,176,176,175,173,171,169,180,183,186,183,201,201,128,100,117,121,97,83,107,95,104,183,186,181,181,181,179,178,177,177,176,175,173,171,183,184,187,186,195,200,169,124,109,112,91,81,107,97,167,193,184,183,182,182,181,179,179,177,177,176,174,172,184,186,188,188,189,219,201,155,109,97,97,95,92,156,187,169,173,186,187,185,184,182,180,179,178,177,175,174,186,188,189,190,191,220,200,149,104,90,88,98,100,136,137,145,151,156,166,172,178,186,182,180,180,178,176,175,188,188,191,192,197,218,191,141,94,84,83,98,104,112,144,150,177,170,168,172,173,138,173,185,181,179,178,176,190,190,193,189,207,217,199,150,100,79,80,98,107,103,121,97,132,154,150,165,163,121,159,190,181,180,179,177,190,192,194,192,217,212,196,143,105,82,79,89,89,83,104,108,161,163,146,163,189,144,136,192,181,181,179,178,191,194,192,204,216,204,192,140,105,78,72,82,74,148,198,192,200,196,187,194,158,108,180,188,185,183,181,178,193,195,192,217,209,206,190,141,97,77,75,90,97,108,173,207,189,160,164,175,96,142,200,186,187,185,183,181,193,194,200,222,206,203,182,123,91,73,87,94,103,109,114,152,158,170,164,133,68,174,195,189,188,185,184,183,196,190,221,218,201,202,166,111,91,80,106,120,129,126,110,120,154,163,145,86,99,193,193,191,189,188,185,185,195,107,137,210,212,188,151,112,91,95,117,130,131,119,114,115,144,125,92,128,192,195,194,194,190,188,187,184,124,77,72,103,177,179,145,119,92,101,125,122,116,100,111,100,84,102,167,204,197,195,196,194,190,188,187,185,85,80,79,71,77,113,130,100,79,89,111,109,100,92,84,73,121,196,206,198,197,196,195,194,192,190,189,188,89,76,72,75,71,67,56,51,55,63,76,86,80,70,127,184,209,203,199,201,201,199,197,195,193,190,189,189,78,72,70,69,65,71,46,34,44,44,47,51,64,147,213,208,203,203,202,202,201,200,198,195,194,192,189,189
15,82,86,88,89,92,93,96,107,115,121,127,130,135,137,139,141,143,146,149,152,154,154,157,158,160,161,161,162,82,85,84,83,88,91,97,107,114,121,127,131,136,137,139,141,145,147,149,152,154,156,158,161,162,161,162,162,85,79,107,135,101,90,94,106,116,123,127,132,137,138,138,141,145,147,149,152,155,156,158,161,162,160,162,163,86,71,139,170,149,130,115,108,113,117,128,135,138,139,139,141,144,148,151,153,157,158,159,160,161,161,164,165,84,79,103,149,140,138,144,135,132,120,119,120,127,131,136,142,148,152,153,154,155,158,159,160,162,163,164,166,83,86,81,101,110,106,124,132,137,141,134,125,123,122,125,126,127,134,142,150,158,157,160,160,163,164,165,167,83,84,87,88,91,94,105,109,108,132,135,133,128,128,136,139,126,111,105,97,145,163,160,164,165,165,165,167,83,85,87,90,90,92,100,105,100,113,121,119,115,112,133,147,148,126,117,90,83,153,164,163,165,166,167,169,83,84,86,89,90,91,101,111,116,121,121,120,115,110,140,143,147,132,133,116,91,97,161,164,165,167,169,170,82,84,85,87,90,91,102,109,115,124,131,134,127,142,156,144,140,150,139,132,118,88,100,165,165,168,169,171,82,83,85,87,89,93,100,108,122,124,127,134,142,165,159,122,139,153,135,150,132,107,75,108,171,165,169,170,82,83,84,87,90,90,104,145,131,132,128,119,147,146,122,105,128,148,129,161,140,109,92,70,130,174,168,171,82,83,85,87,90,88,114,152,144,155,158,134,109,116,95,66,119,131,129,160,142,113,96,82,76,145,174,172,82,83,86,88,89,90,102,121,129,159,167,137,116,126,120,100,115,122,136,141,135,115,98,84,78,79,153,175,82,82,84,85,87,91,99,110,125,140,138,121,130,135,126,131,132,126,107,101,116,107,95,81,80,69,91,166,81,82,82,83,86,90,100,110,116,123,116,108,128,136,132,137,144,131,102,81,92,93,89,88,81,80,70,103,80,82,82,83,85,88,100,109,115,121,170,119,95,104,131,137,139,126,97,83,88,87,87,90,86,81,80,70,78,79,80,84,84,88,98,109,115,119,180,141,89,45,76,120,132,121,97,87,89,87,88,92,88,84,82,76,78,79,80,82,82,88,99,107,115,118,166,135,80,63,56,71,117,97,86,86,90,92,90,92,89,87,84,78,78,78,80,81,81,88,99,107,117,118,165,134,72,99,71,68,99,110,93,91,96,98,95,91,88,86,84,82,76,77,79,80,81,86,96,106,115,116,158,131,68,136,78,115,86,119,115,107,101,95,92,89,85,84,83,84,76,77,77,80,80,85,95,104,116,111,172,129,60,145,120,90,136,110,100,90,92,89,88,88,87,88,87,84,75,74,73,75,74,81,93,102,112,112,165,114,63,136,153,64,144,133,84,105,76,74,78,76,77,81,84,87,115,111,110,112,112,114,116,118,122,122,131,83,96,143,125,87,141,145,138,150,102,66,66,65,66,69,75,82,94,93,95,97,100,99,96,94,91,91,93,82,95,100,96,95,101,101,102,101,101,79,70,77,83,87,89,91,93,94,93,93,92,92,93,91,87,89,92,96,94,92,93,95,93,92,93,92,93,94,93,100,95,102,100,104,96,94,95,97,95,95,96,96,95,95,98,96,96,98,100,98,97,97,98,98,100,100,95,122,109,110,104,112,98,96,95,96,96,96,98,98,99,98,98,96,95,97,98,98,98,98,97,97,97,100,92,122,137,122,120,121
23,94,103,117,124,128,132,136,139,140,142,144,147,148,150,151,152,154,155,156,156,158,159,160,161,162,164,164,164,95,104,119,125,129,133,137,140,142,144,145,148,150,151,152,153,154,155,156,156,160,160,161,162,163,163,164,164,96,108,121,125,130,134,137,140,142,144,147,149,150,153,154,155,155,156,157,157,161,162,163,163,164,164,165,166,98,109,122,126,132,134,137,140,144,147,149,150,150,154,155,156,158,159,159,160,161,162,163,163,164,167,167,166,98,111,123,127,133,136,139,142,145,147,149,150,151,154,156,157,158,161,160,160,160,163,165,168,166,167,168,168,100,112,125,129,134,137,140,143,146,147,150,152,154,155,156,158,160,159,162,165,153,153,157,121,157,171,169,169,103,115,126,129,135,138,141,144,147,149,151,153,155,156,157,158,158,167,175,162,139,128,108,94,165,170,169,170,105,118,127,131,135,137,141,145,148,150,153,154,155,158,158,163,172,168,163,125,93,118,123,161,173,170,171,173,105,119,128,132,136,139,142,145,148,150,152,155,157,158,155,185,171,137,112,95,143,154,176,173,171,173,174,175,106,121,128,132,135,139,143,146,148,150,153,156,157,158,157,190,173,109,102,175,168,99,156,174,171,174,174,175,107,121,127,132,136,140,144,146,150,151,154,157,157,158,163,194,174,155,191,184,146,113,133,184,173,175,176,175,108,122,128,133,138,141,145,148,149,151,154,156,158,158,169,191,179,193,180,157,146,156,126,141,150,178,175,176,109,123,128,133,138,142,146,149,150,152,154,157,160,159,170,181,176,178,168,174,174,161,118,80,97,166,181,177,111,124,129,133,138,143,145,149,151,153,154,158,159,162,171,169,164,173,178,169,159,142,103,66,68,121,186,178,113,124,129,134,140,143,146,150,151,153,158,158,165,179,171,160,162,166,160,156,157,136,91,64,69,78,121,179,114,125,130,134,140,144,147,150,152,154,157,154,183,195,166,162,163,163,159,153,136,118,89,67,62,87,82,141,115,125,130,134,139,143,148,150,152,154,157,155,172,199,177,177,159,132,115,102,104,123,88,64,58,85,87,156,117,126,131,136,139,144,148,151,153,154,156,158,167,194,180,166,146,132,94,48,105,129,87,65,76,89,110,186,118,127,131,137,140,145,149,152,155,155,157,160,170,188,166,157,167,122,79,65,120,107,64,64,93,88,148,189,119,128,130,135,141,146,149,153,156,156,159,160,168,191,165,170,168,111,56,63,69,48,57,77,96,104,183,183,121,127,132,136,141,145,150,152,155,156,159,160,169,186,167,176,159,123,75,33,38,57,83,93,86,138,189,181,121,128,133,137,141,147,150,151,154,156,158,160,171,183,168,180,160,123,89,43,61,86,99,101,96,174,183,183,122,128,133,138,142,148,151,153,155,156,160,160,173,182,173,178,160,124,99,58,74,96,103,93,128,191,180,184,122,127,133,139,142,146,150,154,155,158,162,161,176,181,176,176,155,125,98,60,80,101,103,86,153,189,183,185,123,127,133,139,143,147,150,154,156,157,161,162,178,184,171,166,151,125,99,74,79,101,97,93,177,185,184,185,123,128,133,140,142,146,151,154,156,158,162,162,176,181,165,160,146,124,101,86,79,98,85,123,190,180,183,184,123,127,134,140,142,146,151,154,157,159,162,163,177,180,166,160,143,126,108,90,83,90,89,171,186,183,184,185,122,127,133,138,143,147,151,155,157,158,162,162,184,179,168,161,144,129,112,91,86,83,136,189,182,185,185,186
12,79,94,107,114,118,126,134,142,145,149,153,158,162,166,170,173,176,177,180,182,183,185,185,186,188,190,190,190,82,97,110,116,120,129,138,144,147,151,156,160,164,169,173,175,178,186,187,184,184,188,190,189,192,193,192,192,85,100,114,117,121,131,141,147,150,154,159,163,167,172,174,178,179,160,171,193,187,189,192,199,192,194,195,194,87,102,116,119,124,133,142,149,152,157,162,167,170,176,182,188,193,118,81,161,201,158,111,163,202,193,197,196,89,104,116,121,126,136,144,150,155,159,164,168,174,161,137,198,200,130,85,77,139,149,89,69,181,202,197,198,91,107,119,123,129,139,147,152,158,162,165,168,199,151,85,95,189,159,114,70,73,150,118,63,123,215,198,200,93,109,121,125,131,141,148,154,160,166,165,184,210,153,110,65,155,192,128,95,64,137,136,84,98,215,201,203,96,111,123,127,134,142,150,156,162,166,170,199,194,182,137,103,114,205,154,101,56,104,136,92,83,211,204,206,99,114,125,129,136,146,151,158,165,165,184,186,159,204,167,122,78,169,179,105,57,66,115,89,67,206,208,208,101,116,126,130,138,148,154,159,163,165,213,146,137,198,181,121,76,117,181,103,61,46,101,75,58,205,211,210,103,119,128,132,139,149,156,159,147,140,170,139,122,165,176,133,87,69,152,98,61,42,83,70,63,207,212,211,105,119,129,132,140,147,167,185,170,165,162,129,76,58,158,130,73,38,120,103,62,40,75,72,71,213,212,213,107,120,129,133,142,146,179,209,199,202,189,102,62,8,104,101,56,24,81,123,100,46,90,90,88,224,211,214,109,123,130,135,145,146,188,204,161,163,145,75,62,17,49,84,67,12,45,161,124,59,95,111,55,186,222,214,110,125,131,136,145,149,182,184,143,115,138,101,70,28,13,85,77,28,75,154,132,67,69,99,33,135,230,213,113,126,132,137,146,152,174,157,122,81,114,135,66,42,10,52,54,76,148,145,122,65,51,66,46,161,227,215,112,125,133,136,146,152,171,180,147,107,84,135,70,52,30,36,79,139,160,149,127,98,74,59,77,211,222,225,113,125,131,135,145,152,176,182,146,116,87,109,81,53,35,48,125,157,160,158,146,113,83,46,141,238,213,192,115,127,131,135,147,152,178,178,160,147,96,78,99,81,59,69,164,167,165,172,140,103,72,65,207,188,174,132,115,126,133,137,148,154,175,176,171,155,91,91,125,105,72,90,178,175,182,163,114,92,63,100,201,97,104,170,115,127,132,138,147,156,170,169,163,160,92,108,124,97,102,154,186,185,176,137,96,79,61,95,97,115,83,102,114,127,132,138,147,156,164,159,164,153,104,115,125,102,142,166,188,177,154,113,80,65,81,145,94,131,94,85,115,126,131,138,148,158,167,166,171,148,111,120,126,100,143,151,173,164,137,95,72,52,118,182,109,74,135,184,89,95,98,102,107,112,114,138,164,145,122,126,121,102,134,153,151,143,109,75,56,87,99,105,108,95,144,132,84,86,85,86,89,88,82,98,166,147,128,124,115,109,117,143,135,103,77,61,59,102,175,134,125,132,98,125,89,88,92,93,94,96,98,94,162,169,140,121,117,115,113,130,118,81,62,63,147,169,224,197,198,156,128,182,89,90,90,92,94,94,96,91,145,156,136,115,107,102,104,115,99,73,45,96,222,190,160,164,172,138,102,114,89,91,92,94,96,95,97,94,149,153,99,85,84,86,96,96,76,61,39,85,215,172,170,188,215,180,122,94
8,139,144,150,153,155,157,162,166,168,169,169,170,171,173,172,173,173,174,174,174,174,174,174,172,172,171,170,170,141,147,154,158,156,172,165,163,172,172,172,173,174,174,175,175,175,175,175,175,175,175,174,172,173,171,170,170,145,151,158,162,159,195,158,138,180,175,177,177,178,178,178,179,179,179,178,178,177,178,176,176,175,174,172,171,148,154,161,165,165,208,155,123,185,181,183,183,184,184,183,183,182,184,183,181,181,181,179,180,178,176,175,173,151,158,164,169,169,221,154,123,191,187,188,189,189,188,188,190,190,186,186,190,185,184,184,184,183,180,179,176,154,161,168,173,175,218,150,128,195,191,193,193,198,195,194,186,185,203,191,164,188,190,188,189,186,184,183,182,159,166,172,176,178,222,162,127,197,196,197,198,171,184,225,178,128,183,216,144,145,197,193,193,191,188,187,185,162,169,174,179,184,225,169,134,195,198,213,232,172,163,216,192,147,161,191,169,128,176,203,197,196,193,192,190,166,173,179,184,187,226,193,161,185,207,233,239,227,206,179,179,191,214,160,121,126,151,209,200,200,198,196,194,169,176,183,189,188,222,199,186,199,220,219,221,234,187,183,187,197,196,168,123,91,131,212,202,203,202,200,197,172,179,187,192,191,219,209,196,217,223,199,170,232,195,176,186,169,161,180,144,87,141,217,204,205,204,203,202,174,181,188,194,194,220,224,192,210,212,210,165,189,212,145,125,121,170,193,156,106,177,217,209,209,207,206,205,178,185,191,196,196,223,235,165,194,195,175,172,170,206,149,93,87,211,209,173,118,166,223,211,212,210,208,207,181,188,193,199,199,222,237,175,147,189,153,155,164,189,178,131,100,193,230,188,133,116,216,217,215,212,211,209,182,190,195,200,201,221,240,201,139,154,170,150,178,196,186,134,198,223,222,195,145,100,186,227,217,215,213,212,185,191,197,202,204,219,248,214,159,134,179,152,206,223,193,189,238,227,196,168,141,108,185,231,219,218,216,214,187,193,199,205,208,220,249,222,182,141,154,163,202,231,228,243,231,206,185,148,127,116,214,226,222,223,227,225,189,196,201,207,210,223,250,233,199,159,149,166,194,237,236,242,226,194,166,142,104,150,240,233,232,217,175,129,190,197,204,209,211,223,249,239,208,179,162,169,186,235,241,233,212,182,154,128,102,204,214,170,137,98,73,70,191,198,205,209,212,222,244,239,217,190,181,168,182,221,241,225,197,167,144,119,103,123,87,70,73,80,80,77,192,200,206,210,214,219,236,239,226,199,200,172,171,204,231,220,188,156,137,112,86,65,69,73,69,82,84,72,193,201,206,212,216,217,226,239,230,207,202,180,164,197,212,212,179,148,130,106,76,66,65,79,64,69,83,82,194,201,206,212,217,220,219,233,227,213,199,180,147,189,193,198,164,137,121,87,74,67,53,72,75,62,70,79,192,200,206,210,216,221,214,228,230,213,195,172,145,162,188,174,153,129,112,58,59,80,57,58,77,70,59,68,194,201,206,211,215,221,215,227,241,221,197,173,149,146,176,165,143,123,97,49,44,71,74,54,65,74,64,62,195,201,207,211,215,221,218,227,234,213,186,172,148,144,157,156,135,109,83,67,36,55,77,65,53,71,71,61,196,202,208,212,215,224,209,228,229,187,188,177,154,142,145,151,133,88,66,79,42,42,67,74,58,59,70,66,190,197,203,209,213,226,165,227,232,195,204,186,160,138,140,146,125,66,51,79,54,34,56,74,67,58,61,69
0,189,189,191,193,194,198,199,200,201,201,202,205,207,207,206,206,207,208,208,208,207,208,209,208,208,208,207,207,188,191,194,196,198,199,200,201,201,203,203,205,206,208,208,206,208,209,209,209,208,208,208,209,209,209,208,209,188,191,194,198,199,200,203,202,204,207,205,207,208,206,206,210,208,207,209,211,210,211,212,212,211,211,212,210,190,193,195,197,199,200,203,204,206,207,206,208,212,210,217,209,208,213,226,211,205,235,199,204,217,214,213,211,192,195,197,198,200,202,204,207,206,214,235,210,191,237,238,198,172,225,243,206,178,233,197,176,222,213,214,213,194,195,198,199,202,205,204,209,204,242,249,219,161,205,235,204,157,173,236,212,163,200,220,160,211,219,214,215,195,198,200,202,204,202,226,230,194,244,240,227,176,174,234,213,175,156,241,214,158,156,223,179,168,206,219,215,196,198,201,204,203,217,254,233,190,217,249,225,195,176,234,217,175,171,243,204,158,114,200,206,177,161,196,221,198,200,202,204,201,239,255,240,208,197,249,222,201,168,238,227,166,175,240,185,149,77,154,216,202,150,160,228,199,201,203,204,207,250,254,250,222,184,240,227,195,166,244,228,153,146,211,167,124,71,177,230,209,156,169,230,201,202,204,200,220,245,230,252,230,176,222,228,185,158,234,213,151,111,163,157,100,94,228,231,215,152,195,230,202,204,208,199,239,245,223,236,203,148,194,214,173,141,185,182,147,101,160,150,91,173,239,226,188,145,219,226,203,207,204,211,253,243,203,213,165,116,161,188,162,122,137,165,118,101,187,187,194,225,224,205,155,158,232,223,203,207,201,230,255,236,196,194,173,129,145,182,168,106,114,155,132,198,238,235,223,203,197,174,147,176,234,225,207,211,205,223,255,248,226,188,171,145,136,201,174,93,102,190,238,251,240,228,211,186,167,159,133,191,235,227,209,213,208,221,255,252,237,214,183,165,168,197,170,150,215,254,254,242,234,221,197,171,156,146,144,225,231,230,209,212,208,227,255,254,244,227,214,187,189,204,222,250,255,253,249,236,219,202,179,157,145,138,209,235,231,231,207,211,208,228,255,254,252,239,230,211,201,226,242,255,253,251,242,227,204,180,158,149,128,187,237,229,233,232,209,212,209,225,255,254,254,247,237,226,215,225,240,255,253,244,235,214,191,163,148,131,155,237,231,232,233,233,209,212,213,221,255,253,254,249,235,223,217,219,231,246,242,228,218,200,169,151,133,134,222,237,233,235,233,233,209,212,215,216,251,254,252,242,227,211,210,215,222,228,222,209,190,176,154,134,124,212,241,233,234,235,234,234,212,217,220,218,244,255,252,242,227,209,211,219,222,223,208,190,164,149,130,105,193,244,233,235,236,235,234,235,210,207,207,196,208,221,202,194,186,179,190,203,200,197,177,164,146,126,102,177,244,234,237,236,236,237,237,235,166,150,149,143,132,125,124,113,104,94,94,91,82,81,79,81,88,87,109,225,245,235,236,237,238,237,237,236,141,143,140,132,130,128,118,107,101,87,80,69,61,60,57,54,52,58,64,75,177,248,235,238,239,238,238,238,148,145,144,136,132,124,116,107,97,86,80,71,65,63,60,58,56,57,62,36,127,255,235,240,239,239,239,239,168,143,146,137,135,122,114,104,90,84,78,72,63,61,58,55,54,53,55,52,216,245,238,241,239,239,239,239,184,146,141,138,133,122,110,102,92,83,74,71,64,62,58,54,52,55,42,117,255,236,239,240,241,241,241,241
4,87,98,110,114,119,123,126,128,130,132,135,137,138,141,143,144,146,145,147,149,149,150,151,150,150,151,151,152,87,101,111,116,121,124,127,129,131,134,137,138,141,143,142,145,144,148,149,151,153,152,152,152,153,153,153,153,89,103,111,116,121,125,128,131,133,135,136,138,134,138,149,151,128,119,147,142,140,155,153,154,154,154,155,154,91,104,113,118,123,125,129,133,134,131,144,167,139,122,149,165,126,84,117,136,90,112,158,154,155,155,156,156,92,106,114,119,123,126,130,133,139,145,126,143,167,123,112,154,114,80,82,118,95,72,146,160,156,157,158,157,93,108,115,120,124,126,131,130,161,157,134,110,124,116,90,123,104,73,83,120,95,64,141,162,157,158,159,159,95,108,115,120,124,128,128,143,171,164,147,125,84,87,84,139,116,62,118,125,81,65,155,160,158,159,160,160,97,109,116,121,125,129,128,158,146,138,142,106,78,70,82,146,115,102,140,105,59,81,164,160,159,161,162,161,99,110,118,122,126,130,130,167,131,127,133,81,68,76,61,98,122,152,135,119,81,99,170,159,161,161,162,162,102,111,117,123,126,129,137,173,142,142,123,86,57,98,111,124,138,136,120,127,110,101,163,162,162,163,163,163,103,112,116,123,129,128,147,167,129,117,112,90,46,122,138,125,125,107,121,142,126,104,116,168,161,166,165,164,105,113,117,125,129,126,156,159,124,103,92,67,47,63,97,99,94,68,120,147,141,129,91,131,171,164,167,167,105,114,118,125,130,130,175,162,132,114,97,79,61,55,60,65,86,121,124,141,149,133,108,84,155,168,167,166,107,114,118,125,128,136,184,156,135,124,97,80,70,80,104,126,154,165,151,143,132,126,117,85,122,175,166,167,110,115,119,127,127,145,189,161,149,126,96,91,79,109,148,163,169,163,147,136,116,106,110,83,128,174,167,168,111,115,120,127,124,155,189,164,146,116,101,99,92,141,164,169,171,168,145,125,106,92,90,93,162,168,169,169,110,114,120,129,125,159,188,161,137,115,113,102,114,157,162,167,170,157,134,116,100,88,78,137,174,168,170,169,111,115,120,128,125,161,185,156,139,131,127,114,135,157,161,164,160,142,124,106,95,77,102,173,169,170,171,171,112,115,121,127,127,159,179,160,154,147,133,128,150,155,160,155,143,132,112,100,88,79,157,174,170,172,173,173,112,116,122,128,128,150,179,167,161,147,131,127,145,150,149,138,127,119,102,94,76,125,178,170,170,172,173,173,113,116,123,129,130,142,176,162,156,144,127,114,128,137,137,129,116,107,97,81,96,171,171,172,171,173,173,173,113,118,124,129,133,139,173,156,145,136,121,115,123,133,131,118,104,98,87,78,153,174,171,173,174,174,174,174,112,118,124,129,133,136,167,146,135,128,116,122,119,126,129,113,100,93,71,129,176,170,173,173,174,174,175,175,113,118,125,130,132,144,167,147,138,133,134,137,119,113,119,104,94,78,98,172,171,173,174,174,175,175,175,175,113,118,126,129,136,176,152,143,146,138,136,128,114,105,110,98,89,73,146,175,171,173,174,174,175,175,175,175,114,119,126,126,166,174,171,111,122,144,130,119,110,99,99,93,85,71,160,172,172,173,174,174,175,176,176,177,114,122,122,142,181,167,173,160,81,114,120,110,104,89,92,88,79,73,164,172,172,173,175,175,175,176,177,177,115,121,124,173,170,169,168,177,140,68,96,106,95,78,87,83,77,72,162,174,173,173,175,176,176,177,178,178
18,169,170,172,174,176,178,178,178,180,180,181,181,181,179,179,180,178,178,177,176,177,176,175,175,173,173,172,170,170,172,174,175,177,179,180,180,183,182,183,184,184,182,181,182,181,180,178,179,180,179,177,175,176,175,174,174,175,175,177,178,181,181,182,182,182,183,183,184,183,183,183,183,183,182,181,180,181,179,180,178,178,177,175,175,175,176,179,181,182,183,184,184,185,185,184,185,185,185,185,185,184,184,183,183,181,182,183,179,179,177,176,176,176,177,180,181,184,184,184,184,185,186,185,186,186,186,187,186,185,185,185,183,183,180,176,182,180,180,179,178,177,178,182,184,184,185,186,186,187,188,187,188,189,188,189,188,186,185,186,181,207,163,124,190,181,182,181,179,180,182,183,185,185,186,189,189,189,190,190,190,189,189,189,189,193,192,186,190,226,165,78,178,186,183,182,181,181,184,185,185,187,189,191,192,191,192,191,192,192,190,195,174,141,168,157,147,224,189,90,127,197,182,184,184,182,184,186,188,189,191,192,193,192,194,193,194,193,193,213,195,140,113,124,146,224,201,127,68,164,194,182,185,183,185,188,191,191,192,192,194,195,197,197,194,198,183,139,169,181,132,95,126,200,199,146,107,90,171,191,184,185,186,189,191,191,193,194,197,197,197,195,207,205,178,135,80,155,149,98,72,112,171,158,130,97,89,194,187,185,189,190,193,193,195,197,197,199,194,217,227,223,185,154,101,98,149,95,60,51,122,182,133,110,68,183,192,188,190,191,193,196,197,197,198,198,202,225,204,231,191,158,115,65,95,80,56,38,147,193,157,116,75,186,191,190,191,193,195,198,198,198,202,197,228,226,180,207,179,166,113,66,67,70,57,39,121,190,172,119,70,182,194,191,192,194,196,198,199,201,199,215,225,207,185,195,148,126,92,63,86,63,40,41,123,181,175,124,69,183,196,192,194,196,197,199,201,199,204,236,213,173,147,180,103,87,76,79,107,59,80,105,139,182,161,114,66,182,200,193,196,196,197,200,202,201,207,243,227,196,146,123,118,110,37,78,115,145,176,179,137,143,137,112,61,171,201,193,196,198,200,202,205,201,216,243,229,209,160,111,127,101,13,132,205,206,181,164,147,102,118,114,62,157,206,195,197,199,201,203,207,202,229,242,227,188,151,136,124,83,103,227,214,200,176,140,140,108,98,106,57,171,207,197,199,201,202,205,206,206,234,239,216,173,163,134,100,106,205,218,207,189,169,140,127,114,88,77,83,203,198,197,198,200,203,205,205,210,237,238,211,176,170,134,104,171,223,211,197,183,165,136,119,107,86,55,151,210,196,198,199,200,203,205,206,213,237,234,211,182,188,129,153,185,212,206,187,179,160,122,111,97,71,70,202,202,201,200,200,202,205,206,206,214,233,228,210,198,181,136,138,185,190,196,175,167,143,114,99,90,50,130,216,201,203,200,201,202,205,207,206,213,232,226,214,205,162,126,123,170,177,175,168,155,130,107,90,68,65,200,206,204,204,200,201,203,206,208,207,218,227,222,219,188,136,106,139,155,171,166,154,141,114,92,75,41,152,216,204,207,206,202,203,205,204,208,208,223,220,209,201,166,134,129,150,156,166,161,143,126,101,81,45,110,215,204,206,207,206,202,204,207,207,208,207,232,230,228,212,199,180,159,140,155,166,150,124,105,91,53,86,211,208,207,207,207,206,200,206,200,191,209,213,239,230,229,216,196,176,158,130,142,159,133,109,96,69,66,194,214,209,208,207,208,207
4,192,192,192,191,192,191,190,190,189,186,186,184,185,187,184,183,183,177,177,176,175,175,174,174,171,168,165,165,193,193,193,193,193,192,191,192,191,189,189,190,190,188,184,180,182,185,177,176,176,176,175,174,172,170,167,166,196,196,196,194,194,193,193,194,192,191,177,161,165,182,185,152,116,141,188,182,183,182,174,174,173,171,168,167,198,198,196,195,195,194,195,195,194,195,183,174,157,132,133,150,138,90,142,166,136,153,180,174,175,173,170,169,198,197,196,197,197,198,196,196,187,186,181,172,167,159,108,81,127,131,89,83,93,65,140,183,173,173,173,171,200,198,198,199,198,199,197,192,177,177,161,124,74,135,117,52,84,130,90,49,83,72,78,185,174,175,174,172,201,200,200,201,200,199,198,193,193,179,166,135,67,90,119,59,62,105,70,47,99,94,58,163,180,175,174,173,200,200,200,200,199,199,201,193,142,105,138,158,89,83,128,116,96,95,56,60,109,97,56,159,183,174,174,173,203,202,201,201,200,200,199,202,158,87,43,167,137,101,128,151,152,100,96,97,96,121,75,156,183,176,173,173,202,202,203,202,202,202,202,191,136,77,18,90,138,82,86,107,140,109,100,104,97,113,68,112,191,176,175,174,203,203,204,206,202,201,204,178,132,110,96,58,59,71,58,51,78,115,104,98,93,89,77,73,186,179,176,175,205,204,206,206,204,202,204,183,166,140,98,63,47,68,63,69,58,75,92,85,82,104,101,55,160,185,178,177,206,206,207,207,205,204,205,190,168,127,90,58,55,64,69,92,84,56,39,92,141,134,111,59,121,191,176,175,207,207,209,208,207,205,204,193,151,110,76,52,54,68,92,97,96,93,107,119,137,141,124,85,83,189,177,175,209,209,209,208,208,204,204,191,158,127,88,61,68,78,93,110,108,131,160,160,132,161,150,104,62,176,181,176,211,209,210,210,209,207,203,197,171,135,97,65,64,78,109,126,133,143,160,170,162,140,133,99,47,164,184,177,209,209,210,210,211,208,203,191,175,145,109,69,63,85,112,130,149,159,169,164,148,135,104,75,50,177,184,178,208,209,210,210,212,209,200,185,182,159,124,88,69,70,109,143,158,175,177,161,137,118,94,42,97,195,179,179,210,210,210,210,212,211,198,179,182,165,131,104,82,67,111,159,171,182,173,153,126,108,77,38,166,188,181,180,209,209,209,210,210,211,198,174,172,162,135,110,89,77,112,170,172,173,161,138,114,97,51,91,199,182,183,182,210,210,211,211,212,213,199,172,167,166,148,117,98,89,123,171,165,158,145,123,102,82,41,160,193,184,182,181,210,211,213,213,212,214,204,170,168,170,154,124,111,95,131,164,159,151,131,104,90,50,79,199,187,187,184,182,211,212,213,212,212,214,212,181,172,175,160,134,114,91,127,157,151,142,117,88,72,36,161,198,190,189,186,183,212,214,213,212,213,214,215,187,182,180,157,140,119,93,114,147,136,122,95,78,33,101,205,189,189,188,185,184,212,213,212,214,215,215,212,195,189,174,157,145,126,102,105,125,116,97,79,47,56,193,194,190,189,187,185,184,213,214,214,214,214,215,211,198,191,171,154,138,123,109,99,106,102,82,62,28,163,202,192,191,191,189,187,185,215,215,214,214,213,215,205,196,185,172,160,151,138,128,107,97,94,76,35,99,208,193,194,192,189,189,187,185,215,215,215,215,214,214,195,195,187,174,162,159,141,132,111,94,86,61,40,174,203,197,194,192,190,188,187,185
18,171,172,173,173,173,174,175,175,175,175,175,174,173,172,172,171,170,170,169,169,167,166,166,164,162,161,160,159,172,173,174,174,175,177,177,177,177,178,177,175,174,173,173,172,172,172,172,170,168,168,166,165,163,162,161,160,173,174,175,175,176,178,178,178,178,178,178,178,177,176,175,174,175,174,172,172,170,169,168,167,165,162,161,160,174,175,176,177,179,179,179,180,180,180,180,179,179,166,148,164,173,153,131,142,170,169,160,164,166,165,163,162,175,176,178,179,180,180,181,181,182,181,180,179,180,150,113,103,142,142,108,82,140,139,113,107,150,166,165,165,176,177,180,180,180,182,183,182,182,176,150,152,172,154,123,101,104,161,113,94,82,115,106,84,94,167,167,166,177,179,180,182,181,182,183,183,185,176,141,125,126,159,133,106,88,155,121,105,97,95,103,88,66,153,168,165,180,181,181,183,183,184,184,185,188,180,161,140,117,126,145,109,88,117,129,120,111,105,118,100,63,147,169,168,181,181,182,183,184,186,187,185,188,169,170,144,125,93,134,114,95,89,133,127,116,114,113,96,63,149,170,170,181,181,182,183,184,186,187,187,191,147,141,144,113,71,110,118,91,73,120,114,113,114,113,97,64,139,171,171,181,182,183,185,186,187,188,189,183,132,101,142,92,60,91,97,73,60,101,85,95,136,133,103,72,122,173,173,181,183,185,186,187,188,188,191,182,147,115,135,88,63,82,79,64,53,78,68,76,152,143,113,82,102,175,173,183,185,185,186,188,188,188,192,186,161,129,121,99,70,80,86,68,51,74,67,62,138,147,124,91,81,175,174,185,185,187,187,188,189,189,193,186,157,127,102,87,60,80,91,65,52,76,105,139,147,161,136,96,67,166,174,185,186,187,189,189,190,190,193,173,140,116,96,75,61,63,69,59,68,103,154,163,154,148,131,93,62,156,176,186,187,188,189,189,191,191,193,185,161,134,110,87,81,77,78,98,125,155,169,162,154,131,113,83,60,161,176,187,187,188,189,190,192,192,193,189,169,143,113,89,83,90,104,131,156,176,175,157,140,120,93,72,77,175,178,187,188,188,190,192,193,194,194,191,174,150,122,102,93,95,106,150,172,182,171,147,130,112,84,57,119,178,178,188,189,190,191,193,193,194,194,190,177,155,131,112,101,101,118,165,179,177,163,140,121,104,76,57,161,180,178,188,190,191,191,193,194,195,192,186,174,155,134,119,108,109,127,171,174,167,154,135,113,95,68,82,179,181,179,188,191,192,192,193,194,195,193,179,167,155,138,125,119,113,135,168,169,158,140,126,107,85,58,124,182,182,180,189,191,192,193,193,195,195,195,181,168,158,143,132,129,118,140,161,163,151,129,115,97,75,57,164,182,181,180,191,192,193,195,196,197,197,198,189,167,159,149,138,129,115,133,157,155,143,123,102,84,62,91,182,183,182,182,191,192,193,195,196,196,198,198,194,174,165,156,143,128,114,121,147,144,130,110,90,73,53,152,185,185,183,182,192,193,195,196,196,197,198,199,198,185,171,157,146,135,122,118,134,133,119,100,80,59,87,184,187,185,184,183,192,193,195,196,196,198,198,198,197,192,179,162,147,134,125,119,126,127,111,92,70,52,153,188,187,186,184,183,193,194,195,196,197,198,198,198,197,194,182,159,146,141,138,133,124,120,104,85,62,91,185,188,187,186,186,184,194,195,196,196,197,198,198,199,196,194,181,163,156,152,140,132,118,115,97,75,56,144,189,190,188,187,186,185
23,187,188,189,192,192,192,193,193,195,196,198,199,200,196,194,195,195,196,197,195,196,197,198,197,197,197,194,193,189,189,190,193,192,193,196,196,198,199,198,196,196,199,212,222,215,193,191,199,199,197,197,198,198,198,197,196,189,190,192,194,195,196,197,198,200,198,201,210,221,235,239,233,216,202,190,190,153,179,202,200,200,199,199,197,191,192,194,195,197,198,197,200,201,198,242,249,229,220,216,191,150,154,150,133,132,196,201,201,201,201,201,201,193,194,194,196,198,199,200,202,198,208,255,235,190,192,164,136,168,169,160,169,198,203,201,202,203,203,202,202,194,193,195,198,200,201,202,204,196,218,255,226,170,130,148,186,207,208,209,208,204,203,203,205,204,203,202,202,195,195,198,200,201,202,204,205,198,237,255,222,180,151,210,209,217,217,195,204,203,205,205,206,206,205,204,204,196,198,200,200,202,203,204,204,204,252,244,231,169,158,233,239,250,242,161,199,217,206,206,208,208,207,207,206,198,200,201,201,203,205,207,200,214,255,234,233,188,227,255,253,244,214,144,138,167,206,209,208,208,208,208,207,199,201,202,204,205,207,208,200,231,255,232,240,253,255,249,232,218,203,206,163,94,164,217,207,208,210,209,208,201,203,204,206,207,207,208,204,247,253,245,245,247,247,240,234,235,237,238,201,117,127,220,210,212,211,211,210,203,204,206,207,208,208,205,232,250,247,244,238,241,244,244,242,235,220,203,170,119,104,176,217,211,214,212,212,203,204,207,208,209,204,229,255,250,252,245,238,233,235,237,230,218,205,206,189,115,101,122,214,214,214,214,214,205,207,209,210,209,203,239,255,254,254,247,230,225,231,232,228,218,213,216,199,124,94,131,220,215,215,216,216,207,208,210,212,211,209,233,255,253,254,252,241,241,233,225,219,207,202,198,169,125,93,167,226,214,217,216,217,208,209,209,213,217,212,227,255,253,255,253,240,243,221,188,189,180,170,158,156,124,111,204,224,217,218,217,217,210,210,211,214,217,213,224,255,254,255,249,237,234,208,161,129,114,119,150,156,118,138,226,221,220,219,218,218,210,212,213,214,217,214,221,255,254,255,247,236,220,194,167,134,47,87,157,154,114,172,232,220,221,222,221,219,212,213,215,216,217,216,219,254,254,255,249,233,238,236,164,92,66,119,146,133,108,200,228,220,222,223,222,220,214,215,216,217,218,218,218,252,255,255,250,239,242,222,160,93,88,133,118,106,129,227,223,222,223,224,222,222,214,216,216,218,220,221,218,249,255,254,250,245,242,207,163,123,84,100,108,109,145,234,221,223,224,226,224,223,214,217,217,219,221,223,219,246,255,255,250,249,245,208,162,133,82,95,120,111,162,236,224,226,226,227,225,224,216,217,218,220,222,224,220,246,255,254,251,250,242,209,165,139,102,105,126,111,188,236,225,228,228,229,228,228,216,217,219,222,222,225,219,246,255,254,252,249,238,211,170,142,112,115,128,117,215,230,227,228,228,229,228,227,216,218,220,222,223,226,220,247,255,254,251,245,229,202,167,140,120,119,118,142,238,227,229,229,229,229,229,228,217,220,221,222,224,227,221,245,255,254,247,234,216,191,158,138,129,123,108,197,238,229,231,231,231,230,230,229,220,222,223,224,224,229,223,244,255,254,244,221,199,173,151,142,134,112,139,236,231,232,230,232,231,231,231,230,221,222,224,225,225,230,225,246,255,254,243,218,198,173,151,140,130,122,216,236,230,231,232,232,232,232,231,230
5,123,127,132,136,140,144,147,150,151,153,155,155,156,157,156,155,155,156,156,154,155,154,152,150,149,149,148,146,124,130,135,138,144,146,149,153,153,155,157,158,158,158,159,158,157,157,157,158,156,157,155,153,152,151,150,149,126,133,138,143,147,148,152,155,156,158,159,160,163,161,162,161,159,170,97,138,164,158,158,156,156,155,151,150,129,136,141,144,148,150,153,157,159,158,170,147,104,169,164,161,176,159,65,133,168,161,159,158,158,157,154,152,132,138,143,147,150,153,155,159,163,159,182,136,70,170,167,167,187,100,85,171,164,164,163,162,160,159,157,156,133,139,144,149,154,154,162,164,165,159,199,101,95,181,165,184,151,57,138,175,165,166,165,165,164,162,160,159,135,141,147,151,153,168,128,153,168,173,200,64,130,182,174,181,101,85,178,171,169,168,168,168,167,164,163,163,138,143,149,154,153,183,106,111,174,191,181,58,158,180,177,140,68,149,182,173,173,172,172,171,170,168,167,168,140,146,150,155,157,179,141,81,178,195,131,72,174,173,165,78,97,186,177,177,176,174,175,175,172,172,170,170,141,146,152,157,159,172,169,71,170,180,79,92,184,157,150,62,143,189,179,179,178,178,177,176,175,176,175,173,143,149,154,160,164,166,193,103,134,180,90,96,173,145,128,73,166,187,181,184,184,182,179,177,177,176,177,176,145,151,157,162,166,166,193,147,91,172,105,83,122,130,93,89,189,186,181,163,169,183,187,180,178,178,178,178,146,153,159,162,168,170,184,186,119,104,105,83,94,119,73,109,194,172,173,176,165,155,155,186,181,181,180,179,149,154,162,166,171,174,175,187,169,110,94,101,94,101,72,100,150,167,154,155,168,171,122,154,191,183,183,181,150,157,162,168,170,175,178,178,198,172,116,96,79,79,68,96,111,120,99,84,129,144,152,104,156,189,184,184,151,156,161,167,172,176,182,179,213,214,139,92,75,69,65,87,96,71,105,167,195,184,157,152,108,185,186,185,152,158,165,169,175,176,183,180,199,232,158,92,71,68,67,79,76,104,198,197,193,184,171,120,140,196,186,189,153,160,167,171,175,177,183,183,188,233,157,97,73,67,63,81,59,137,212,191,194,164,141,83,170,196,190,192,154,161,167,173,177,180,185,184,184,216,149,100,76,62,61,83,85,99,161,202,185,158,114,75,172,198,191,191,157,162,168,174,177,180,185,185,182,221,153,103,83,65,63,79,93,111,112,119,159,158,95,103,194,195,194,193,156,162,168,174,177,181,186,185,186,219,151,116,95,68,60,83,100,120,133,100,140,139,92,156,202,196,195,194,157,164,170,175,179,183,188,185,188,207,154,126,97,72,60,92,119,129,135,107,105,118,110,198,196,196,196,195,158,165,171,176,180,184,189,186,185,206,158,128,96,75,61,96,122,126,121,99,88,91,158,206,196,197,195,196,159,166,173,177,182,184,190,188,189,199,153,122,99,81,71,90,111,110,108,90,96,159,203,201,200,199,198,198,161,167,173,178,183,185,190,186,205,202,146,119,105,83,79,92,107,106,95,95,180,209,201,201,201,201,200,200,161,168,174,179,184,185,191,182,213,213,163,127,100,85,80,89,96,89,90,160,209,200,202,201,201,201,201,200,161,168,174,178,184,185,192,185,210,200,158,110,82,86,88,90,91,106,175,208,203,204,204,203,203,202,201,199,162,168,174,178,183,186,192,192,210,196,162,110,81,86,86,84,108,193,214,204,204,204,204,204,203,203,202,200
8,184,189,193,197,198,203,205,207,208,210,212,213,213,214,215,214,214,214,214,212,211,211,211,208,207,207,205,204,186,191,196,198,201,203,206,209,211,214,215,215,216,217,217,216,216,216,216,216,215,214,212,212,211,209,207,206,187,193,197,199,203,205,208,212,212,215,217,218,218,219,220,219,219,217,218,218,217,215,214,214,213,211,210,210,188,194,198,202,206,208,210,214,217,217,219,220,222,221,221,221,220,220,220,220,221,218,217,215,214,213,214,212,191,196,199,204,208,208,221,200,196,225,221,222,222,222,222,222,223,222,222,222,222,221,219,218,217,216,215,214,192,198,202,206,209,209,234,194,146,222,223,224,224,224,225,224,225,225,224,224,223,221,221,222,221,219,217,215,194,200,205,207,211,208,232,207,127,204,229,225,227,227,227,227,227,227,226,225,224,222,222,222,221,220,218,217,195,199,204,208,212,210,229,228,126,186,234,227,230,228,227,229,230,228,228,227,227,227,225,223,222,221,221,221,197,200,205,211,213,215,221,225,132,165,239,228,230,232,234,230,230,230,234,228,227,227,227,226,224,223,222,222,199,203,207,211,216,219,219,240,177,145,235,232,229,211,205,234,230,196,191,236,232,234,227,229,228,226,223,221,198,204,208,212,215,220,219,244,199,126,215,234,249,229,176,198,253,202,140,188,197,196,232,228,229,229,226,225,201,204,208,213,216,221,221,238,208,150,178,240,255,255,206,143,243,214,204,149,150,141,168,240,228,229,228,228,202,206,211,215,218,224,223,235,239,189,167,225,255,255,233,140,194,218,214,199,171,168,132,212,234,228,229,228,203,208,212,215,221,226,228,229,246,186,180,217,223,255,237,153,154,211,172,224,226,229,211,140,209,236,228,228,205,211,214,217,222,225,229,229,243,222,205,238,225,226,238,160,124,189,121,188,222,229,220,136,176,245,229,231,206,211,216,221,223,227,230,228,252,255,202,200,218,199,237,184,120,152,125,136,196,231,218,140,168,247,231,232,208,212,217,222,225,229,231,228,253,237,169,174,187,166,213,247,158,119,117,131,220,250,231,142,163,248,230,232,208,214,219,223,225,228,233,231,249,249,199,172,165,157,179,200,150,135,109,139,228,255,232,143,164,248,232,236,208,214,219,223,227,228,233,232,253,255,224,178,163,167,150,188,201,152,132,197,231,255,221,139,147,248,235,237,209,215,221,224,228,229,234,231,255,255,226,192,157,145,155,224,234,206,218,241,224,226,187,130,129,244,237,237,211,217,222,225,229,230,236,233,255,255,233,211,181,145,159,216,243,255,255,234,208,182,159,114,155,248,236,237,212,217,222,225,230,233,237,234,255,255,236,220,198,159,152,210,255,255,255,230,193,152,132,103,217,244,237,237,212,218,223,228,232,235,237,234,255,255,243,222,211,176,169,221,255,255,243,216,178,135,96,155,251,238,240,238,212,217,223,227,229,233,238,237,254,255,252,233,223,190,172,239,255,245,216,190,156,117,101,228,246,242,241,238,210,216,221,224,228,232,236,237,246,255,255,237,227,200,175,238,252,223,197,165,140,95,162,252,239,241,240,237,212,217,222,225,229,233,237,237,243,255,255,240,221,189,172,226,227,208,188,154,119,103,235,245,242,239,240,238,213,217,223,228,230,233,237,239,245,255,253,229,202,167,175,217,198,182,175,148,91,180,255,241,243,242,241,240,214,219,223,228,231,232,237,235,247,255,244,223,186,176,185,207,184,165,161,120,127,249,244,243,244,243,242,240
7,130,132,134,135,138,139,141,141,143,145,146,146,148,149,149,150,151,150,152,152,152,152,152,152,152,152,151,151,130,133,135,136,138,140,141,142,145,146,146,148,149,149,149,151,151,151,152,152,153,153,153,153,153,153,152,152,132,134,135,137,140,141,142,143,145,145,146,149,149,150,150,151,151,152,153,153,153,153,153,153,153,153,152,152,133,135,136,139,141,142,143,145,146,147,149,148,149,151,151,151,151,152,153,154,154,154,154,154,154,154,154,152,133,135,138,140,141,143,145,146,147,147,150,150,151,151,151,153,153,152,153,155,155,155,154,155,154,154,155,152,134,136,139,141,142,144,146,147,149,150,152,153,152,152,153,154,155,156,155,155,155,156,156,154,156,156,155,153,134,136,139,141,143,145,146,148,150,151,153,153,153,155,156,152,147,148,153,152,149,144,142,161,136,151,159,155,135,138,140,142,143,146,148,149,151,151,153,154,154,151,143,137,135,125,127,133,136,128,125,141,108,144,154,151,138,139,141,143,145,147,147,149,149,148,149,150,154,147,141,141,138,120,126,126,131,128,124,122,115,137,139,119,139,140,142,144,146,148,148,153,135,129,138,145,149,143,138,134,122,120,116,108,111,113,108,106,104,104,104,129,139,140,143,145,146,146,160,151,123,127,132,127,118,110,110,108,101,96,99,108,109,109,112,117,123,132,143,161,139,140,144,146,145,160,165,149,138,124,116,103,92,81,89,111,114,133,156,161,160,159,161,165,165,166,164,160,140,142,145,144,159,170,159,160,151,115,108,111,114,112,108,115,136,166,165,162,163,164,163,161,161,160,162,162,141,144,142,155,170,162,161,157,140,120,113,106,110,115,109,94,82,109,166,162,164,164,164,163,163,163,163,163,142,141,151,166,164,160,155,143,133,125,115,93,87,102,107,105,97,88,162,166,164,165,165,165,164,163,164,164,138,148,167,165,155,147,143,137,131,125,114,95,81,83,86,88,91,94,165,166,166,165,166,165,165,165,165,165,146,165,164,158,151,143,140,139,137,133,119,99,94,96,84,68,70,95,171,166,166,166,166,165,165,165,165,164,165,161,152,152,149,142,142,137,133,130,121,108,102,100,95,90,81,85,153,172,166,166,168,167,167,167,166,164,158,154,152,148,143,141,135,129,132,129,114,101,97,96,98,93,89,63,72,148,172,166,169,168,168,168,167,165,155,152,146,145,142,139,127,129,134,119,100,88,76,66,84,91,89,70,70,126,176,167,168,168,168,168,167,167,152,149,142,140,133,130,136,132,115,100,90,69,62,59,55,86,90,77,114,164,170,168,169,169,169,169,168,168,150,146,140,130,133,136,132,117,102,93,81,65,70,66,66,82,86,146,174,171,170,169,169,169,169,169,169,170,141,138,127,132,135,128,114,103,96,81,84,100,111,119,83,96,153,174,169,170,171,171,171,170,170,170,170,169,122,122,120,121,116,108,101,91,81,97,149,169,172,176,154,159,175,170,171,172,172,172,172,170,170,170,169,169,110,105,101,100,100,91,87,94,126,163,170,167,167,168,173,173,170,172,172,172,172,172,172,171,170,170,170,170,107,93,88,84,75,89,134,158,169,164,165,168,169,170,169,172,173,173,173,173,173,173,172,171,172,171,170,170,105,89,78,75,116,152,168,163,164,165,168,170,170,171,172,172,173,174,173,173,173,174,174,173,173,172,171,171,107,91,76,81,161,163,160,163,166,166,168,171,171,171,173,173,174,175,175,174,174,174,174,174,174,173,173,172
19,60,64,69,72,79,86,91,95,99,101,103,106,108,111,113,115,117,118,119,121,122,124,124,126,127,127,128,129,61,64,68,73,80,86,92,97,100,102,103,106,109,112,114,117,118,119,121,123,124,125,125,128,129,129,130,130,62,66,70,75,82,88,93,98,102,103,105,108,110,113,115,118,119,121,123,124,126,127,128,129,130,131,132,131,62,67,72,76,83,90,95,100,103,104,107,109,112,115,118,120,122,124,124,126,128,129,131,131,132,133,132,133,63,68,72,77,84,91,96,101,104,106,107,111,113,117,118,122,125,127,125,128,130,130,131,131,133,132,138,129,63,69,73,78,85,92,98,102,105,107,109,112,116,116,128,127,106,119,131,129,130,132,132,133,131,148,157,83,64,69,74,78,86,93,100,104,107,108,111,113,117,116,156,134,98,76,123,130,131,132,139,141,148,153,105,70,64,69,74,79,87,94,101,105,108,109,111,116,119,115,146,147,106,91,127,142,134,138,148,148,135,96,74,121,64,70,74,81,89,95,100,106,109,108,115,111,117,122,134,146,137,143,141,137,130,118,128,116,80,84,126,144,66,71,75,81,91,97,102,107,106,131,146,115,109,115,126,131,126,118,110,117,104,88,86,88,113,142,142,140,66,71,75,81,90,97,103,107,109,157,133,119,120,124,132,132,123,112,109,99,99,72,125,141,146,141,142,143,66,72,75,83,90,97,104,104,121,146,111,111,117,131,135,132,130,124,108,75,67,85,150,141,141,144,144,143,67,72,76,84,92,97,105,102,134,142,118,117,122,121,114,109,112,100,86,69,53,104,149,141,144,144,144,144,68,73,77,84,92,99,105,105,166,155,136,134,134,126,124,118,106,68,63,67,56,123,148,144,145,145,146,146,69,73,77,86,95,101,106,111,166,150,134,121,115,121,123,117,96,66,60,68,63,134,146,144,146,147,148,148,68,73,78,86,94,102,108,111,150,143,121,106,87,84,99,96,91,69,63,65,84,147,144,146,146,147,148,148,69,73,78,88,95,102,108,110,141,142,122,83,73,52,44,77,96,72,66,68,83,150,145,147,146,147,149,149,70,73,78,89,96,103,109,109,140,145,122,87,62,33,68,95,96,68,64,65,65,140,148,146,148,149,150,150,70,73,79,89,96,103,111,105,138,146,122,98,78,53,56,64,57,51,57,65,65,133,151,147,149,149,150,150,70,73,80,89,97,105,113,104,141,149,124,102,80,70,58,46,46,56,61,66,67,136,152,149,149,150,151,150,71,73,81,90,98,106,113,104,141,147,123,102,83,75,74,62,54,57,62,64,73,143,150,150,151,152,152,152,71,75,82,92,99,105,113,105,133,142,119,100,81,74,73,63,55,60,65,64,89,153,148,152,152,152,152,152,71,75,83,92,101,105,114,105,131,137,116,95,80,74,71,64,60,64,71,61,117,156,150,152,152,153,154,154,70,75,83,92,101,107,113,111,136,133,112,92,79,72,72,69,66,68,64,79,148,150,151,153,153,154,154,154,70,75,85,93,101,108,111,114,144,132,109,88,76,73,75,72,68,64,86,139,150,150,152,153,153,154,155,155,71,75,86,94,101,109,111,116,142,126,110,93,79,76,75,73,64,81,145,149,149,151,153,154,154,155,155,155,72,76,85,94,102,110,111,123,135,120,107,95,81,72,68,69,60,114,150,148,151,152,154,155,155,155,156,156,71,75,85,94,102,111,111,138,136,118,100,86,74,65,62,65,63,127,149,149,152,153,154,155,155,156,157,158
13,170,170,173,175,176,177,178,178,180,180,180,180,180,180,180,180,177,176,176,175,175,174,171,169,168,166,165,164,170,171,173,176,178,179,179,181,181,182,183,184,187,181,182,184,185,179,178,177,175,175,174,172,171,169,167,165,171,174,175,177,180,181,181,182,182,183,169,140,148,190,168,137,147,184,179,179,177,176,176,174,172,172,170,167,172,175,176,179,181,181,183,185,184,189,169,134,104,138,146,117,71,152,190,179,179,179,178,175,173,173,171,169,173,176,178,180,181,183,185,186,184,197,192,153,127,74,137,133,81,108,196,180,181,180,179,177,175,173,173,170,174,177,180,181,182,184,185,186,186,188,195,155,121,71,109,127,80,90,193,183,183,181,179,178,177,175,173,172,174,178,181,183,184,185,186,187,192,193,184,152,114,75,81,102,67,81,192,183,184,181,180,179,179,177,175,173,176,179,182,183,186,187,188,187,175,180,168,150,117,88,77,114,69,92,195,183,185,184,183,181,181,179,176,174,177,179,181,184,187,189,189,173,124,102,110,154,154,104,87,123,81,97,199,184,187,186,183,181,181,179,177,176,178,181,183,186,188,188,200,172,124,108,85,153,169,115,77,108,77,59,172,193,187,187,185,183,182,180,179,177,179,182,184,187,187,180,144,149,144,131,91,73,118,81,69,79,77,71,108,197,187,188,186,184,184,181,180,178,180,182,186,184,194,172,110,95,155,136,117,53,27,35,62,83,97,109,76,161,197,186,187,185,185,183,181,179,180,183,183,195,202,154,124,102,126,147,117,89,33,60,67,101,123,121,82,107,202,187,187,186,185,183,182,180,181,184,186,201,161,153,141,124,95,138,126,105,47,72,131,142,127,108,85,92,199,188,187,187,187,184,182,180,180,183,187,202,158,129,137,118,96,110,115,80,45,84,147,156,137,101,70,107,202,189,189,189,187,186,183,180,182,183,191,190,159,116,107,107,78,57,83,73,53,110,156,148,134,100,56,138,204,190,189,188,186,186,183,181,182,185,188,191,181,152,110,80,57,44,80,87,88,163,166,141,125,92,57,171,201,192,190,188,187,186,184,181,183,186,187,189,186,163,135,116,98,96,107,107,155,184,157,131,113,84,73,195,195,193,192,189,188,187,185,183,184,188,188,188,183,169,147,123,104,107,146,177,179,167,147,124,105,70,97,207,194,194,192,189,188,186,185,184,183,187,189,191,171,157,143,121,107,109,136,175,169,155,133,113,98,56,127,209,194,195,193,190,188,187,186,186,183,186,190,192,165,155,145,126,120,113,127,165,167,151,124,100,87,50,164,206,196,195,193,191,188,188,188,185,184,187,189,194,180,155,147,134,125,112,120,157,159,139,109,88,63,76,203,197,197,195,194,193,189,188,187,185,183,186,188,193,194,162,147,138,123,111,108,137,144,123,95,81,46,145,210,197,198,196,194,193,190,189,188,186,184,186,190,193,197,190,155,134,118,111,108,123,137,117,94,71,66,197,200,199,197,196,195,193,191,190,189,186,184,187,191,194,195,196,171,143,124,117,122,123,133,119,92,61,115,212,198,199,198,198,195,193,193,192,189,186,184,187,190,192,194,190,178,153,146,143,139,130,133,114,84,61,159,208,197,198,197,196,195,192,192,190,189,186,182,185,188,193,192,182,187,165,157,151,141,137,125,103,78,67,187,202,198,196,195,195,193,190,189,188,186,184,182,186,188,192,192,178,193,169,159,158,141,127,107,98,69,79,201,198,198,196,196,195,194,192,190,188,185,184
23,108,117,130,136,140,143,147,150,151,153,155,157,158,161,161,162,164,165,166,166,167,169,170,171,171,173,173,173,109,118,131,137,141,144,148,151,152,154,155,159,160,161,162,163,164,165,166,166,169,169,171,171,172,172,173,173,110,121,133,137,142,145,148,151,153,155,157,159,161,163,164,165,165,166,167,166,170,171,172,172,173,173,174,175,112,122,134,138,143,146,148,151,154,157,159,160,160,164,165,166,167,169,168,169,170,171,172,172,173,176,175,175,112,124,135,139,144,147,150,153,155,157,159,160,161,164,165,166,168,170,169,169,170,172,174,176,175,176,177,177,114,125,137,141,145,148,151,153,156,158,160,162,164,165,166,167,169,168,171,174,163,163,166,133,166,179,177,178,116,127,138,140,146,149,152,155,158,159,161,163,165,166,167,167,167,176,183,172,150,140,121,109,174,179,178,179,119,130,139,142,146,148,152,156,158,160,163,164,165,167,167,172,181,177,172,137,107,130,135,170,181,179,180,182,119,132,140,144,148,150,153,156,158,160,162,164,166,167,164,192,180,148,125,109,154,164,184,181,180,181,182,183,120,133,140,144,146,150,154,156,159,160,163,166,166,167,167,198,181,122,116,184,177,113,166,182,180,182,183,183,121,133,139,144,147,151,154,157,160,161,164,166,167,167,172,201,183,165,198,192,157,126,144,191,181,183,184,183,122,134,140,145,149,152,156,158,159,161,164,166,167,168,178,198,187,200,188,166,156,165,138,152,160,186,183,184,122,135,140,144,149,153,156,159,160,162,164,166,169,168,179,189,184,186,176,182,182,171,130,95,111,175,189,185,124,136,140,144,149,153,156,159,161,163,164,168,169,171,179,177,173,182,186,178,168,153,116,83,85,133,193,186,126,137,141,145,151,154,157,160,161,163,167,167,174,187,180,169,171,175,169,165,167,147,106,80,85,93,134,187,127,137,141,145,150,154,157,160,162,164,167,164,191,202,175,171,172,172,168,163,148,131,104,83,79,102,97,152,128,137,142,145,150,154,158,160,162,164,166,165,180,205,185,185,169,143,128,115,118,136,103,80,75,100,102,166,129,138,143,147,150,154,159,161,163,163,166,167,175,200,187,175,157,143,108,66,119,141,102,82,91,104,123,193,130,139,143,148,151,156,160,162,165,165,167,169,178,195,175,166,176,134,94,82,132,120,80,81,108,103,158,196,132,139,142,146,152,156,159,163,166,165,168,169,177,198,174,179,177,124,74,79,85,66,74,92,110,118,191,191,133,139,143,147,151,156,160,162,164,166,169,169,178,194,176,184,168,135,91,52,57,74,98,107,101,149,196,189,134,140,144,149,152,157,160,161,164,166,168,169,179,190,177,188,169,135,104,61,78,101,113,114,111,183,191,190,135,140,144,149,152,158,161,163,165,166,170,169,182,189,181,186,169,136,113,75,89,110,117,108,140,198,188,192,134,139,144,150,153,157,160,164,165,168,171,170,184,189,184,184,165,137,112,77,95,115,117,101,163,196,191,193,135,139,144,150,154,157,160,164,166,167,171,171,186,191,179,175,161,137,113,90,94,115,112,108,185,193,192,193,135,139,144,151,153,157,161,164,165,168,171,171,184,189,174,169,156,136,115,101,95,112,101,135,197,188,191,192,135,139,145,150,153,157,161,164,166,168,171,172,185,188,175,170,154,138,121,104,98,105,103,180,194,191,192,192,134,139,145,149,154,157,161,165,167,168,172,171,192,187,177,170,155,141,125,106,101,98,147,196,190,193,193,193
15,64,76,88,93,95,101,110,119,125,131,137,141,146,148,152,155,158,164,166,169,172,175,176,178,181,181,183,184,66,77,89,94,96,101,111,120,125,132,138,142,146,149,153,156,161,164,167,171,175,176,178,180,183,183,185,186,67,79,89,94,98,105,113,120,127,135,139,142,146,150,155,159,163,166,171,174,175,177,181,182,183,184,186,188,69,81,93,96,100,107,115,123,129,134,138,144,148,152,156,160,164,168,173,174,175,178,181,184,185,185,187,188,69,81,90,95,100,106,114,124,130,135,140,144,148,153,157,160,165,167,171,174,178,180,182,184,184,186,188,188,81,89,101,104,106,117,123,128,125,130,135,139,147,153,157,160,165,172,176,174,178,183,184,187,188,188,189,191,123,107,115,117,119,133,142,145,151,148,137,133,136,137,150,150,143,144,156,178,183,182,186,189,189,190,190,191,101,76,83,94,113,131,136,147,169,160,148,150,155,165,158,160,161,132,112,101,160,190,184,189,189,191,191,192,60,58,68,71,81,96,106,126,160,170,168,169,169,173,178,159,155,178,119,79,65,148,195,187,189,191,191,192,77,91,96,95,98,102,108,110,121,139,159,184,189,151,155,165,116,188,118,82,101,74,148,197,185,192,191,192,75,87,96,98,105,115,119,131,121,98,107,113,147,144,120,133,105,193,123,68,120,129,54,157,193,188,191,193,77,90,97,98,105,111,118,156,110,85,73,87,127,138,95,87,95,144,118,93,119,131,68,56,187,190,189,191,77,90,96,98,106,108,136,174,86,70,83,109,146,136,99,85,97,83,84,102,123,106,56,24,92,203,186,191,78,90,95,98,104,112,129,189,104,70,109,124,142,125,94,88,90,89,88,107,125,121,60,30,21,119,200,194,78,91,97,98,106,109,151,194,187,138,110,92,98,89,66,68,71,84,102,116,122,116,71,35,32,26,103,190,78,90,96,98,104,108,166,196,178,190,155,85,21,15,16,8,15,42,82,106,99,90,61,46,45,37,22,66,78,90,95,98,105,111,141,192,182,158,168,179,77,0,0,0,0,0,36,92,100,93,81,78,62,48,41,31,64,71,78,82,89,92,99,167,186,156,147,187,88,2,0,0,0,0,33,108,121,119,111,102,81,55,44,43,37,41,44,43,47,43,56,189,174,152,136,133,43,10,0,0,5,2,18,84,111,116,113,103,83,58,43,50,48,48,50,50,53,54,56,155,192,161,114,104,78,17,0,2,6,17,29,47,78,91,98,93,79,58,46,49,50,48,50,53,53,57,53,68,126,149,128,111,101,42,9,10,4,16,35,40,55,82,89,81,65,58,54,50,50,50,52,52,53,56,57,55,56,63,66,66,56,46,21,14,3,10,33,46,34,63,78,74,64,59,56,56,50,50,53,53,54,53,55,56,57,60,58,58,56,64,59,40,39,31,45,62,50,50,68,63,58,50,51,55,49,49,50,53,55,55,57,58,58,61,63,63,65,76,82,101,96,75,95,105,112,100,92,83,56,44,61,66,49,49,50,51,53,56,56,57,58,60,61,62,62,62,60,93,83,112,148,150,141,133,112,96,69,66,90,87,48,49,49,51,54,56,55,56,58,61,61,62,62,64,61,60,60,81,111,126,133,106,84,70,79,89,93,113,48,49,50,51,53,53,56,56,57,58,59,60,61,60,61,63,64,65,57,76,90,71,88,99,89,78,95,130,47,49,50,52,52,52,55,56,56,56,57,58,59,60,61,62,63,64,65,65,62,82,109,112,78,86,108,131
4,163,164,165,166,168,169,170,171,172,172,174,174,175,174,174,173,173,173,172,172,172,170,170,170,171,171,170,168,162,163,165,168,168,169,170,171,173,173,174,174,175,174,174,173,174,174,174,173,172,172,172,172,172,171,170,169,164,165,166,168,169,171,172,171,172,173,175,175,175,175,173,177,173,174,176,174,174,174,173,173,171,172,171,171,165,166,167,169,169,171,172,173,174,175,177,175,186,177,161,159,183,174,160,171,176,174,174,172,172,172,171,171,165,167,168,169,171,172,173,174,175,178,167,184,208,173,163,136,195,169,149,133,175,176,177,174,173,172,172,171,166,169,169,169,172,175,174,172,206,204,178,154,207,182,154,155,205,173,153,108,167,157,157,178,173,173,174,173,165,169,170,169,172,175,171,186,222,218,192,132,183,195,143,169,211,172,135,146,180,141,111,154,179,173,175,174,167,170,172,172,173,175,171,204,210,212,178,129,179,195,152,166,191,177,189,178,134,131,104,116,179,175,176,175,169,170,172,175,175,173,179,213,188,207,166,117,165,185,189,184,194,216,217,180,129,105,102,107,179,176,176,175,169,171,173,174,177,172,189,212,178,193,172,106,147,173,179,195,203,206,192,186,154,109,90,113,183,176,177,176,170,172,174,175,176,174,209,206,176,175,184,105,130,169,123,154,181,185,178,193,163,126,87,123,185,176,177,177,171,172,173,176,172,190,216,185,166,156,139,95,130,175,100,138,172,148,183,199,172,139,95,140,185,176,178,177,171,172,175,177,171,206,208,174,150,151,134,114,131,155,104,143,185,107,185,213,186,152,103,161,184,178,178,178,171,174,176,176,176,219,206,171,146,137,126,121,126,125,120,124,152,119,177,223,196,161,109,140,187,179,179,178,173,174,177,174,182,228,203,172,145,131,117,121,130,128,155,156,172,194,188,204,192,156,124,109,182,182,180,180,173,177,179,172,192,230,202,171,141,134,123,125,125,134,171,181,203,199,200,178,170,161,137,107,174,184,180,180,174,176,178,172,202,230,203,164,144,150,134,122,117,152,193,202,202,194,188,165,141,156,129,117,180,181,181,181,173,175,177,171,210,229,200,167,166,166,139,132,165,205,213,202,201,193,172,152,131,132,110,140,187,180,181,180,172,174,177,172,214,226,202,186,190,171,143,180,211,218,219,202,195,180,161,144,126,115,109,171,183,182,181,181,172,175,177,175,219,224,212,199,192,180,150,198,216,219,223,196,177,168,153,140,122,101,138,188,182,183,181,181,173,175,178,175,219,227,219,202,186,183,158,203,220,220,212,187,164,155,146,134,113,108,177,185,183,182,181,182,173,175,180,174,212,230,218,205,186,180,173,205,218,207,194,176,154,148,140,123,102,142,189,182,184,183,183,182,174,176,179,173,202,226,210,202,191,180,178,195,204,192,177,160,151,150,133,109,111,180,185,185,183,183,183,181,174,175,179,174,205,218,199,197,197,185,180,187,195,183,170,153,147,144,126,101,154,191,183,184,184,182,181,181,174,176,179,173,203,210,192,197,198,181,168,184,196,183,164,142,137,136,113,130,188,186,186,184,183,183,182,182,172,175,179,174,196,212,195,197,189,181,164,178,198,178,149,128,131,122,115,175,185,183,184,184,182,181,181,181,132,132,137,125,172,222,203,202,188,182,166,169,194,167,137,125,124,113,113,127,126,125,125,125,123,126,125,121,108,107,111,97,153,232,213,207,194,188,171,160,190,166,136,123,116,108,103,102,100,100,100,100,100,99,103,158
14,154,158,162,165,166,169,171,172,173,176,175,177,177,176,176,176,176,174,175,174,174,173,172,170,169,168,167,166,156,160,164,167,169,171,172,173,175,177,178,179,179,179,178,177,179,180,179,175,174,175,175,172,171,171,169,169,158,163,166,169,171,173,174,176,178,180,180,180,180,180,180,180,158,163,177,178,178,174,174,173,173,171,171,171,159,164,168,170,172,174,177,179,180,180,181,181,181,180,180,166,157,143,149,141,165,185,174,172,174,172,173,173,160,165,170,171,174,177,179,180,182,182,183,184,181,194,194,184,174,157,127,107,104,134,178,181,173,174,174,174,162,166,171,174,176,179,180,182,183,184,186,181,191,213,181,155,194,166,131,86,71,70,89,161,183,173,175,174,163,167,173,176,177,180,181,183,185,186,186,193,209,207,159,75,129,117,153,111,53,78,51,57,156,183,174,176,164,169,174,176,178,182,183,185,186,187,188,207,189,147,112,69,55,74,162,140,77,75,78,53,65,180,179,178,165,170,174,178,180,182,184,186,188,193,203,217,167,101,66,49,48,47,122,156,103,81,99,82,58,129,189,177,166,170,176,178,182,183,186,189,188,202,219,216,177,130,87,67,58,49,55,111,122,80,89,77,85,78,173,183,167,171,176,179,182,185,187,189,192,210,223,204,155,117,86,63,64,56,114,170,189,165,112,82,83,64,123,189,168,173,177,180,183,187,189,188,199,222,217,169,111,75,66,58,48,91,201,195,189,195,195,126,85,89,113,189,170,175,180,181,186,187,192,185,208,222,205,180,133,79,58,42,71,192,200,189,192,192,188,115,125,84,119,195,171,177,180,184,187,189,190,191,222,215,193,183,137,95,62,35,44,87,166,200,189,202,158,113,129,78,90,196,173,179,181,185,188,193,185,211,226,205,191,184,129,100,53,40,48,47,65,171,208,170,96,111,120,82,58,164,174,179,183,186,189,190,194,227,214,192,198,179,133,103,51,45,59,68,68,79,117,87,100,119,104,81,52,151,174,179,185,188,192,187,211,227,211,198,198,172,136,97,52,60,81,82,83,78,64,84,103,117,103,61,116,194,176,180,186,189,191,193,228,225,213,196,185,170,132,84,57,77,95,96,93,92,84,85,106,98,71,126,197,191,178,182,186,190,189,205,232,220,205,187,174,163,119,85,67,90,99,101,97,91,89,85,86,72,145,202,193,193,179,183,187,191,189,221,230,212,195,181,164,148,111,88,79,92,104,99,96,83,89,68,63,161,207,193,195,195,180,184,188,191,193,230,223,205,191,171,154,140,110,94,80,92,105,95,89,80,67,99,175,206,197,198,196,194,181,186,190,191,202,236,219,198,183,166,146,129,118,90,80,86,95,92,81,63,146,207,205,199,200,199,197,195,182,186,192,190,220,232,212,185,159,151,142,129,99,80,82,82,86,72,66,154,215,202,200,202,200,199,199,197,182,187,188,204,234,220,202,169,167,157,125,99,76,82,86,66,76,109,179,213,202,204,203,202,201,200,200,199,184,193,184,207,226,212,198,176,165,133,116,96,81,80,68,120,190,213,213,206,207,206,203,202,201,201,200,199,177,181,170,208,221,212,192,175,148,113,108,89,82,59,122,225,215,209,209,208,207,206,205,204,202,202,201,199,71,24,104,226,214,204,186,163,130,103,98,85,70,74,194,213,209,212,210,208,208,206,207,206,204,203,202,200,60,26,83,197,212,196,181,153,113,94,87,78,51,142,219,209,211,211,210,209,209,208,208,206,204,203,202,200
19,182,184,188,190,191,194,195,196,197,198,198,199,199,200,202,202,202,202,202,202,203,201,202,203,201,201,201,200,185,187,192,194,196,198,199,200,201,202,201,202,203,205,205,207,205,205,205,206,206,205,206,206,205,205,205,203,189,192,196,199,201,202,203,205,206,206,206,206,206,208,212,208,208,209,209,209,209,208,208,208,207,208,207,206,194,196,200,203,204,206,206,208,208,209,208,213,207,165,183,217,210,213,213,213,213,212,212,212,212,211,209,208,196,199,203,205,206,208,208,210,211,212,210,224,214,164,133,217,215,215,215,215,215,215,216,216,216,215,214,213,199,201,205,208,210,212,213,213,214,215,214,229,219,178,115,202,228,223,223,220,219,219,217,219,218,218,217,217,202,206,208,211,213,215,216,217,218,219,218,229,220,174,116,184,202,198,218,219,220,225,226,224,224,222,220,220,206,209,211,214,215,217,219,220,224,226,223,227,211,193,204,211,186,154,182,183,177,187,194,217,216,222,223,221,208,212,214,216,219,220,222,224,222,218,219,215,216,218,210,197,182,149,162,187,184,181,168,192,172,205,230,223,211,214,216,219,222,223,224,220,191,189,198,202,202,196,192,195,189,148,125,151,158,153,148,149,179,224,229,227,213,216,219,222,224,225,230,208,183,181,181,186,190,197,194,195,188,134,195,223,215,208,211,218,234,233,230,229,214,218,221,223,226,227,234,204,202,186,170,173,179,184,178,174,174,138,206,247,238,241,241,239,235,235,232,231,217,220,223,226,229,230,228,231,226,186,160,168,173,183,191,183,174,146,164,247,235,237,237,238,237,236,236,234,219,223,225,227,230,232,226,233,237,208,180,153,153,166,171,161,156,128,168,250,236,240,239,240,239,238,237,236,220,224,228,230,231,234,230,222,232,239,195,162,159,168,169,154,144,118,201,252,241,243,243,242,241,240,238,238,222,225,229,232,234,234,228,233,234,222,181,171,166,164,156,137,128,115,222,250,246,245,243,244,243,241,241,242,225,227,231,235,236,235,230,239,234,212,185,167,171,148,116,93,106,135,247,245,247,247,245,245,245,243,242,242,226,229,233,235,238,236,232,239,230,202,171,174,195,134,90,81,100,183,255,243,247,248,247,246,245,244,243,243,228,231,236,238,241,240,229,236,227,197,168,188,181,117,83,89,151,246,247,246,248,249,249,248,246,246,244,244,229,233,237,240,241,243,228,229,222,189,173,199,167,121,101,87,206,255,246,250,250,249,250,249,248,248,247,246,231,234,237,241,243,244,224,218,213,189,197,205,160,118,109,103,230,255,251,252,251,251,251,251,250,250,249,249,232,235,238,241,243,245,222,214,214,203,208,194,148,115,105,135,255,249,253,253,253,252,252,252,251,251,250,250,233,236,239,242,243,246,215,216,217,205,199,173,135,115,103,190,255,250,253,253,254,254,253,253,252,252,252,251,235,237,240,243,245,246,212,220,210,189,180,152,127,114,127,246,255,254,253,255,255,255,255,255,255,255,254,253,236,239,240,244,247,245,213,221,207,183,162,131,126,111,185,255,254,255,255,255,255,255,255,255,255,255,255,254,238,240,242,244,250,243,216,238,216,183,150,121,118,100,213,255,255,255,255,255,255,255,255,255,255,255,255,255,237,240,243,244,251,234,221,237,203,170,140,121,106,126,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,237,243,245,252,224,225,222,176,153,136,127,94,173,255,254,255,255,255,255,255,255,255,255,255,255,255,255
18,145,147,148,151,153,155,155,155,158,158,158,159,159,157,156,157,156,155,154,153,154,153,152,153,150,149,149,147,147,149,151,152,154,157,158,158,160,160,161,162,162,160,158,159,158,157,156,156,158,156,154,152,153,153,151,151,152,152,154,155,158,159,160,160,160,161,161,162,161,161,161,160,161,160,158,158,158,156,157,155,156,154,153,152,152,154,157,159,160,161,162,161,163,163,162,163,163,163,163,163,162,162,161,161,159,160,161,156,156,155,154,153,153,154,158,159,162,162,162,162,163,164,163,165,165,164,165,165,163,163,164,161,161,158,153,160,158,158,156,155,155,155,159,161,162,163,164,164,165,166,166,167,167,167,168,167,165,163,164,158,187,139,96,168,159,159,158,157,157,160,161,163,163,164,167,168,167,168,168,168,168,168,167,167,171,171,164,168,208,141,46,155,164,161,159,159,159,162,163,163,165,167,169,171,170,171,170,170,171,169,174,151,115,145,132,121,206,167,58,99,177,159,162,162,160,162,164,166,168,170,171,172,171,173,172,173,172,172,194,175,114,84,96,120,206,181,100,34,140,173,160,163,161,163,166,169,169,171,171,173,175,176,176,173,178,161,112,145,159,105,64,98,179,179,120,78,59,148,170,162,163,164,167,170,170,172,173,176,176,176,174,188,185,156,108,48,130,123,68,39,82,148,134,103,66,57,173,165,164,167,169,171,172,174,176,176,178,173,198,209,204,163,129,71,67,123,64,26,16,94,160,106,81,35,161,171,166,169,170,172,175,176,176,178,177,182,207,184,214,170,134,86,31,64,47,21,1,122,171,132,87,42,164,170,168,169,172,174,177,178,178,181,176,211,209,158,187,157,142,84,32,33,37,22,2,92,169,148,91,37,160,173,169,170,173,176,178,178,180,178,197,208,187,163,174,123,98,61,29,54,29,3,4,95,159,153,96,35,161,175,170,173,175,177,178,181,178,184,220,194,150,122,158,72,55,44,46,78,24,48,75,113,160,137,85,32,160,179,171,175,175,177,179,181,180,187,227,209,176,121,94,89,80,1,45,86,120,153,157,111,117,110,82,26,148,180,172,175,177,180,182,185,181,197,227,212,189,135,82,99,70,0,105,185,186,158,140,121,72,90,85,27,132,186,174,177,178,181,183,187,181,211,226,209,166,125,109,96,50,73,210,195,180,153,113,114,79,67,76,22,147,187,177,179,180,182,185,186,186,217,223,198,150,138,107,69,76,185,199,187,168,145,114,99,85,57,45,51,182,178,176,178,180,183,185,185,191,220,221,191,153,146,107,74,148,205,191,177,161,141,109,90,77,55,20,126,190,176,178,178,180,183,185,186,194,220,217,192,159,166,102,128,163,193,186,165,156,136,94,82,66,38,36,182,182,181,180,180,182,185,187,186,195,216,211,191,177,158,109,112,163,168,175,152,143,117,85,69,58,14,103,197,180,183,179,180,182,185,187,186,194,215,208,195,185,138,98,95,147,155,152,145,130,103,77,58,34,31,179,186,184,184,179,181,183,186,188,187,199,210,204,200,167,110,76,113,130,148,142,129,115,85,61,42,5,127,198,184,187,186,181,183,186,184,188,188,205,202,189,180,143,107,102,124,131,142,137,117,98,71,49,9,80,196,184,186,188,186,182,184,187,188,189,188,214,213,210,192,178,157,135,114,130,142,125,96,75,60,18,54,192,188,187,188,188,186,180,186,180,170,189,194,222,213,211,197,175,153,133,102,116,134,106,79,65,36,32,173,195,189,188,188,188,188
4,98,104,114,121,124,127,130,133,136,138,140,142,143,145,147,149,151,153,155,157,158,159,160,161,162,163,164,165,99,106,114,121,124,128,132,134,137,138,140,142,144,146,145,147,151,153,155,157,159,160,161,161,162,163,164,164,101,107,115,121,125,130,133,135,138,140,141,141,145,152,147,139,138,147,151,153,157,160,162,162,163,163,163,164,102,109,117,122,127,131,134,136,140,150,152,142,138,151,160,142,117,118,134,129,141,159,162,163,164,164,164,165,104,110,119,124,128,131,135,138,144,161,166,158,135,124,150,139,107,94,120,108,115,156,163,164,165,166,166,166,104,111,119,125,129,132,139,154,155,146,136,152,134,105,125,130,101,85,113,106,106,153,164,165,166,166,167,168,106,113,121,126,130,133,152,175,167,136,110,132,129,97,106,133,108,86,120,116,103,149,165,166,167,167,168,168,107,115,122,126,129,134,158,171,164,136,106,116,134,100,88,131,120,89,124,121,103,142,163,167,168,168,168,169,108,116,123,127,130,135,162,166,152,144,117,100,130,106,70,114,136,107,112,116,118,126,148,166,168,169,170,170,109,116,123,128,132,136,163,164,143,138,115,82,99,99,75,106,142,127,114,115,121,117,130,162,169,170,171,171,111,118,125,129,133,138,165,170,151,131,107,85,84,97,94,111,133,133,125,118,120,125,123,154,170,171,171,172,113,120,126,130,134,142,174,172,148,127,109,92,94,109,108,121,134,130,121,123,137,141,124,142,170,173,173,173,114,121,127,131,135,147,180,171,142,121,105,93,100,113,120,131,141,131,118,135,155,151,131,130,166,174,174,174,115,122,127,131,135,152,184,169,142,121,106,98,105,116,131,140,151,157,153,148,151,150,132,119,156,175,174,174,116,122,128,132,136,156,189,172,145,124,110,102,108,122,140,150,161,172,171,161,152,139,121,105,143,175,176,176,118,123,128,133,136,157,192,177,151,129,112,103,110,125,147,161,171,177,173,164,151,132,109,97,139,176,178,178,120,124,128,133,136,157,195,181,158,136,116,108,113,128,154,171,178,179,172,162,146,127,105,98,149,177,178,179,121,125,128,133,137,158,196,184,164,144,126,118,119,135,163,180,184,178,167,155,140,120,99,111,165,178,178,179,121,125,129,134,138,156,192,185,170,153,139,126,128,146,169,187,186,177,165,149,132,110,95,131,175,179,179,179,121,125,129,135,138,150,184,188,177,162,150,137,135,154,169,184,184,175,162,144,124,100,100,154,178,179,180,180,121,125,130,135,138,146,176,189,182,170,158,147,140,152,165,179,179,170,158,140,119,97,121,171,179,180,180,180,122,125,130,135,139,144,169,193,186,174,162,149,142,150,162,175,173,162,152,137,116,105,147,178,180,180,181,181,123,126,130,136,140,144,165,198,188,174,160,149,144,149,161,169,163,152,141,130,114,124,169,180,181,180,181,181,123,126,130,136,140,145,164,199,185,170,161,153,150,152,158,160,151,140,129,117,119,154,178,181,181,181,181,181,123,126,130,136,141,145,164,194,179,170,166,162,158,154,155,154,144,132,117,109,143,173,180,181,181,181,181,181,124,127,131,136,140,144,165,192,181,174,171,168,165,157,151,148,139,124,105,117,166,178,180,181,182,182,182,182,123,126,131,136,141,145,166,194,189,177,170,172,171,157,145,140,132,115,98,133,174,178,180,181,182,182,182,182,123,127,132,137,141,146,166,194,193,178,172,175,172,154,141,135,128,108,97,147,178,179,181,182,182,182,183,183
23,133,136,139,142,146,149,151,154,155,157,158,161,161,162,163,165,165,166,169,169,170,172,172,172,172,173,173,174,133,137,141,144,147,150,152,154,156,158,159,161,162,164,165,166,167,168,170,171,171,173,173,173,174,173,174,175,135,138,141,145,149,151,152,155,157,158,160,162,164,165,165,166,161,164,163,148,168,174,174,175,175,175,177,176,136,138,142,146,150,151,153,156,158,159,161,163,164,165,171,169,154,145,126,105,165,176,176,178,177,177,178,177,138,140,143,147,150,152,154,157,159,161,162,163,166,172,173,151,115,112,110,142,175,176,177,178,178,178,178,178,138,141,144,147,150,152,155,158,159,162,162,171,180,162,146,112,115,145,166,177,177,178,179,179,179,180,180,180,138,142,145,148,151,153,156,159,160,162,162,182,183,137,105,131,163,129,153,178,177,179,180,180,181,181,181,181,139,142,146,149,152,154,156,158,161,163,163,186,187,149,154,187,164,128,129,178,179,180,181,181,181,182,182,183,138,143,147,149,152,154,156,159,162,164,166,190,187,183,191,177,156,154,135,150,160,178,181,181,182,183,183,183,139,143,147,150,153,155,157,161,163,165,168,187,182,187,181,177,174,164,130,90,101,160,183,183,183,184,184,184,141,145,148,152,153,155,159,162,164,165,170,175,171,176,177,172,165,154,114,73,69,122,183,185,184,184,184,184,141,145,148,152,154,156,158,162,164,175,177,167,164,170,169,164,158,140,103,73,64,84,138,181,184,184,184,183,140,144,148,152,155,156,159,162,168,196,186,171,172,162,153,139,123,125,103,74,60,78,90,147,187,185,185,184,140,144,149,152,155,157,160,163,166,194,195,182,174,147,118,83,84,130,103,71,55,78,87,142,187,186,185,185,141,145,149,152,156,158,160,163,167,188,192,178,164,145,111,68,84,128,96,68,67,86,101,172,187,186,186,187,141,146,150,154,156,158,160,163,166,188,192,174,178,140,82,56,94,91,63,61,85,95,131,186,187,187,187,188,141,146,150,154,156,158,160,163,166,187,188,180,173,131,82,44,55,43,52,69,94,104,168,187,187,187,187,187,142,146,150,153,156,158,161,164,167,187,186,185,171,131,91,37,36,55,78,88,93,127,185,187,187,187,187,187,143,147,151,153,156,159,162,164,168,189,186,186,169,130,97,51,52,80,98,101,96,160,189,188,188,188,187,187,144,147,151,154,157,160,162,164,169,189,188,184,164,129,99,60,66,92,102,99,120,185,187,189,189,188,188,188,144,147,151,155,157,160,162,165,171,190,185,176,157,126,98,67,73,97,102,95,147,190,188,189,189,189,189,189,143,147,152,156,157,160,163,165,173,189,177,168,152,124,100,79,76,98,98,98,171,188,188,189,189,190,190,190,143,147,152,156,157,160,163,165,174,187,174,164,148,126,106,86,79,95,92,123,187,189,189,189,190,191,191,192,144,148,152,156,158,160,164,165,177,188,175,167,149,130,111,90,81,88,98,166,189,190,190,191,191,192,192,192,144,148,152,156,158,160,165,165,182,188,174,164,149,134,110,90,83,88,142,187,189,190,190,191,192,193,193,192,144,148,153,157,159,162,164,168,187,184,171,158,145,128,100,89,86,136,184,189,189,189,190,191,192,193,193,192,144,149,153,157,159,163,164,179,190,179,167,149,131,116,96,86,120,183,189,189,189,190,190,191,192,193,193,193,145,149,154,157,158,162,163,185,184,177,163,143,124,113,96,88,162,189,189,190,190,190,192,191,192,193,193,193
3,150,150,151,153,154,153,154,154,153,154,154,153,153,152,151,150,150,148,148,145,144,144,143,141,139,138,137,137,155,155,156,156,158,158,158,157,156,157,156,156,157,155,154,153,153,152,149,149,147,145,143,142,142,140,138,137,159,160,159,160,162,162,161,161,160,162,161,159,159,158,156,163,139,140,156,151,150,148,146,145,144,141,141,139,163,164,164,165,166,166,166,165,165,165,165,164,163,162,159,169,128,104,163,154,153,151,150,149,146,145,143,141,168,169,169,169,169,170,170,169,170,169,168,168,167,165,164,168,134,89,160,159,157,156,155,152,150,149,146,144,172,172,172,173,174,174,172,173,175,173,172,171,170,169,167,170,135,78,158,163,160,158,157,156,152,150,149,147,175,176,176,177,177,177,176,177,177,177,177,175,173,172,172,171,136,77,157,168,163,162,161,159,157,154,152,150,180,179,179,179,180,180,180,180,181,181,180,178,177,177,175,180,147,79,152,173,166,165,163,162,159,157,155,154,183,183,183,184,184,183,183,183,184,184,183,182,181,180,177,184,139,72,156,174,169,169,167,164,162,161,158,157,186,186,186,187,187,188,187,186,186,185,186,185,183,183,181,175,135,84,157,178,172,171,170,167,165,163,161,159,190,190,190,190,190,190,190,190,189,188,188,188,186,185,183,175,139,87,145,184,173,173,172,171,168,166,164,162,191,192,192,192,192,192,191,192,192,192,192,190,188,189,187,190,141,70,135,188,175,176,174,172,170,169,166,164,193,194,194,195,194,194,193,194,194,194,193,195,196,188,171,158,166,113,127,200,179,177,177,175,173,170,169,167,195,196,197,197,197,197,197,196,196,195,197,182,170,186,152,82,145,154,87,146,180,183,177,177,175,172,171,169,197,198,197,197,198,198,199,198,199,196,190,161,102,147,163,98,101,143,82,72,99,175,183,179,177,175,172,170,198,198,197,199,200,199,201,201,201,193,182,162,131,112,168,125,77,129,109,91,72,138,192,179,179,177,175,172,199,200,200,201,202,202,202,203,197,185,138,134,152,111,140,133,71,77,111,98,59,123,195,182,181,179,177,174,201,202,202,202,202,202,203,204,191,179,145,91,129,95,103,140,74,69,108,133,74,104,196,182,183,181,178,175,203,203,204,204,203,204,204,205,194,176,141,85,100,62,94,113,56,79,101,158,103,83,191,185,184,182,179,178,203,204,205,205,205,205,205,206,199,172,158,127,84,70,107,92,60,123,158,156,108,81,194,188,185,183,181,179,205,205,205,206,206,206,207,208,202,174,172,142,99,96,123,109,131,189,163,132,70,137,200,189,188,186,182,181,206,206,207,207,207,208,209,210,206,171,170,150,117,99,128,182,190,177,137,97,77,193,194,191,189,186,183,182,205,207,208,209,209,209,210,210,212,174,154,144,120,105,119,178,168,150,115,68,118,207,191,192,191,188,185,183,205,206,206,207,209,209,209,208,213,189,145,146,129,117,116,162,157,131,89,62,176,201,194,193,191,188,185,182,204,207,206,207,209,209,209,209,210,207,155,143,142,124,103,131,127,99,55,139,205,194,194,191,188,186,189,190,205,207,208,209,209,210,210,210,210,208,176,156,142,112,91,99,94,52,115,209,194,194,192,193,197,192,168,124,207,208,209,209,209,210,210,210,213,195,178,170,143,117,103,97,83,70,196,202,202,202,198,184,139,98,63,46,206,207,209,209,209,210,210,211,213,182,167,175,152,139,119,101,62,117,212,196,174,140,111,80,54,50,44,44
11,114,121,126,129,133,137,140,143,144,148,150,151,152,155,157,159,159,161,163,164,164,165,166,167,166,165,166,165,115,122,128,131,136,138,141,142,146,149,150,153,155,157,159,160,161,162,163,166,167,168,167,168,167,167,168,167,117,123,129,134,137,139,142,145,147,150,152,155,158,159,161,160,166,167,166,168,168,169,169,169,168,168,169,168,118,124,130,133,138,141,143,146,148,150,154,156,158,160,161,162,146,162,168,168,169,169,169,170,170,170,170,170,119,124,129,134,138,141,143,146,151,153,155,158,160,161,161,171,118,120,175,168,170,170,172,172,172,171,170,170,118,124,130,135,139,141,144,147,151,155,158,159,160,162,161,179,121,107,177,169,172,172,172,172,172,171,171,172,120,125,131,136,140,142,145,147,151,155,158,160,162,163,163,183,101,119,179,170,172,173,174,174,173,172,172,172,121,127,132,137,141,142,145,149,151,155,158,160,162,161,172,181,94,137,179,172,174,175,174,175,174,174,174,173,121,127,134,137,141,144,146,150,152,154,158,160,161,162,184,155,89,153,177,173,175,175,175,175,174,175,174,174,121,128,134,138,141,144,148,150,153,155,159,160,160,161,182,112,91,171,174,173,174,175,175,175,175,175,175,174,121,128,133,138,143,145,148,151,156,156,155,168,180,119,115,94,110,180,171,174,175,175,176,176,175,176,175,174,122,127,133,138,141,145,153,151,140,175,152,119,151,118,82,80,146,179,172,175,176,176,176,176,176,176,176,175,122,128,135,137,149,183,183,160,90,136,150,86,119,114,74,76,170,174,174,176,177,177,177,177,177,176,176,176,123,128,133,143,177,152,167,162,89,124,130,84,145,107,58,97,182,173,175,176,177,177,178,178,179,178,177,175,124,130,131,156,153,125,143,156,87,123,109,92,143,90,50,119,184,172,175,176,176,177,178,178,178,178,177,175,124,131,135,174,143,103,117,141,78,111,90,102,123,77,50,133,182,172,174,175,179,180,180,178,177,179,178,176,125,126,151,181,144,109,117,100,73,105,70,109,109,64,42,137,185,174,177,175,170,165,168,182,183,179,178,178,126,125,176,174,140,114,101,87,90,97,51,133,88,46,55,105,172,168,164,159,151,143,124,126,169,183,178,178,124,130,190,165,138,119,97,77,114,81,34,95,79,86,113,111,138,159,165,159,143,122,113,103,95,175,181,179,124,134,183,165,147,129,104,93,105,111,125,133,146,148,136,143,156,145,126,115,111,130,151,141,120,171,182,179,124,132,176,167,154,137,112,112,139,164,155,152,149,146,129,123,119,98,121,155,175,185,185,184,184,181,180,180,123,132,188,171,154,137,114,120,153,159,142,150,144,131,99,86,106,154,185,183,180,178,179,180,181,182,181,180,122,142,196,157,143,123,113,121,143,143,143,139,123,87,77,132,177,182,178,179,179,180,182,182,181,182,182,181,117,156,174,131,129,120,120,125,124,130,132,108,73,89,156,181,175,176,178,179,179,180,181,181,181,181,182,181,115,163,168,134,129,138,127,128,113,113,100,68,115,171,174,169,173,175,175,175,176,178,179,179,179,177,178,180,119,175,175,135,128,155,132,120,100,90,70,127,174,168,168,170,172,174,174,175,176,176,177,178,179,193,198,201,125,182,177,130,130,157,129,108,88,62,109,171,162,167,168,169,172,172,173,175,175,176,178,177,200,210,210,197,125,183,177,124,131,154,127,108,75,63,151,161,162,166,166,168,171,172,173,175,175,177,177,177,168,140,182,195
11,186,186,185,185,185,183,184,184,180,184,180,177,177,176,175,173,170,168,167,166,162,160,159,158,155,153,150,153,191,190,189,190,189,189,190,188,192,152,179,183,180,180,179,177,175,173,171,169,167,164,162,160,158,156,161,137,196,195,195,195,195,195,195,193,206,133,128,198,186,185,183,180,178,177,175,172,171,169,166,161,162,161,91,19,201,201,201,200,200,201,199,199,195,172,89,176,197,190,187,186,183,180,178,176,174,173,169,167,161,69,0,0,205,205,205,205,206,206,204,204,200,189,105,130,207,193,193,190,189,186,184,181,180,177,173,179,100,16,8,10,211,210,210,209,210,209,209,208,205,189,119,101,210,197,198,195,194,190,189,186,184,180,181,168,42,34,26,7,213,215,214,214,213,213,213,212,210,196,162,86,193,208,201,198,198,195,194,191,189,184,190,155,28,35,25,19,217,217,217,216,217,215,217,217,213,217,182,81,168,217,205,203,202,198,197,196,193,187,193,149,29,23,4,10,222,223,222,221,220,220,221,220,216,219,193,85,145,225,206,207,206,203,199,198,196,190,200,129,15,25,0,17,224,225,224,223,224,223,222,224,220,198,189,108,114,225,211,209,207,206,205,202,200,193,207,113,5,20,0,6,226,226,225,226,226,227,226,225,228,199,190,164,89,195,225,219,210,210,208,206,204,198,209,97,4,15,0,2,229,229,230,230,229,231,230,228,231,218,199,208,113,164,139,179,222,211,211,209,207,204,202,56,6,0,0,17,232,232,232,232,233,232,230,230,230,225,197,208,221,209,87,88,230,214,215,213,209,208,205,77,63,76,60,27,233,234,233,235,234,233,234,231,234,236,206,215,183,142,105,63,211,222,217,215,212,208,197,175,169,159,137,71,236,235,235,236,236,236,238,236,223,182,212,231,158,54,88,66,171,232,217,217,213,200,197,191,165,110,76,54,238,239,239,238,239,241,236,223,215,118,99,189,151,63,67,71,123,236,216,221,201,206,208,178,109,94,70,27,241,240,240,241,242,240,225,229,205,134,81,103,156,91,58,73,75,227,233,214,181,196,191,108,79,158,149,18,241,242,244,243,240,224,235,207,151,153,122,73,127,119,51,72,67,149,201,162,174,183,123,104,166,176,162,87,244,243,245,246,230,224,203,146,81,125,128,79,86,124,55,64,82,54,89,142,169,136,100,218,154,118,139,137,246,247,247,247,227,222,200,156,72,79,147,45,39,129,74,52,125,95,91,138,142,84,187,226,198,37,113,139,249,250,249,250,221,223,204,150,88,70,110,11,21,137,74,42,151,114,87,123,80,122,233,212,226,154,136,153,250,249,249,252,233,214,201,178,157,94,43,27,26,135,110,65,85,105,106,91,66,212,226,220,216,220,178,135,252,250,251,253,248,216,210,197,170,128,75,57,82,143,138,86,104,163,114,52,164,239,221,222,216,220,184,128,253,253,254,254,255,229,207,195,187,149,109,72,94,175,151,99,139,126,81,64,224,231,225,223,219,221,189,101,253,254,254,254,255,240,214,198,181,152,114,91,81,149,184,159,135,105,51,115,247,227,226,225,222,223,194,87,253,253,253,253,253,249,207,196,168,151,123,101,88,120,153,143,125,84,43,203,239,227,225,224,220,225,184,137,254,254,254,254,252,255,221,185,175,155,136,116,96,94,120,111,98,40,141,244,227,227,224,223,227,213,156,153,255,255,255,255,253,255,248,186,173,158,146,124,92,75,91,82,48,106,243,230,231,227,225,221,165,147,145,154
5,188,188,190,191,194,194,194,194,195,194,194,194,194,192,193,192,192,190,190,189,187,186,185,184,183,182,182,180,190,191,192,193,195,196,195,196,196,196,195,194,198,195,194,194,193,193,191,190,188,188,188,186,185,184,182,182,191,193,195,196,197,198,197,197,199,198,197,205,167,189,198,195,195,195,194,192,190,190,189,188,187,186,184,184,194,194,195,197,198,199,199,203,201,199,202,215,138,165,204,196,196,196,194,193,192,191,191,190,188,188,187,185,196,196,197,199,198,206,201,170,207,199,210,211,124,167,205,198,198,197,196,195,194,193,193,191,190,190,187,186,197,198,198,202,198,220,185,132,206,200,213,186,117,190,205,201,200,199,197,198,198,195,195,193,193,192,189,187,198,199,202,201,204,227,149,138,211,203,204,166,126,206,203,204,201,198,209,175,183,201,196,196,195,193,191,190,199,201,204,201,217,204,112,184,214,198,184,148,138,209,206,202,199,212,203,132,162,207,198,198,195,194,193,192,201,202,205,201,232,198,115,206,212,185,171,121,163,216,191,191,196,180,131,137,196,203,201,200,197,196,194,193,203,204,205,205,244,187,119,208,207,178,159,112,195,172,177,199,151,113,155,200,205,202,202,201,199,197,196,194,204,206,207,212,242,155,119,221,185,183,164,124,145,139,164,148,116,170,215,205,204,203,202,202,200,198,196,195,204,207,209,210,234,210,122,184,173,172,146,113,116,130,108,128,184,212,207,207,205,203,203,203,202,200,198,196,207,210,213,210,229,229,153,123,141,146,120,106,130,118,127,210,214,208,208,208,206,205,204,204,203,202,199,197,210,211,214,213,223,228,196,148,133,136,113,103,130,120,193,221,211,210,209,209,208,206,206,204,204,203,201,199,212,213,215,216,217,248,229,181,133,120,120,118,114,182,215,195,200,214,215,213,211,209,208,206,205,204,202,200,213,215,217,218,218,249,228,174,127,113,111,121,123,161,161,171,177,181,192,199,205,213,210,207,207,205,203,202,215,216,218,219,225,246,218,166,116,106,105,121,127,135,170,175,204,197,195,199,200,163,200,212,208,206,205,203,217,218,221,217,235,246,227,176,123,101,102,121,130,126,145,120,157,180,176,191,189,145,185,218,208,207,206,204,218,219,222,219,246,241,224,168,128,104,101,112,112,106,127,132,187,189,172,190,217,169,161,219,209,208,206,205,219,222,219,232,245,232,220,165,128,100,93,104,96,174,226,219,229,224,215,222,184,131,207,216,212,210,208,205,221,222,220,246,238,234,217,166,121,99,97,113,121,132,200,235,216,186,190,202,118,167,228,213,215,212,210,208,221,221,228,251,234,231,209,147,114,95,109,117,127,133,138,177,184,196,190,157,90,200,223,217,215,213,211,210,224,218,250,247,229,230,193,135,114,103,129,144,154,150,134,144,180,189,171,109,122,220,221,219,217,215,213,212,223,130,162,238,240,215,177,135,114,118,141,154,156,143,138,139,169,149,115,152,219,223,222,221,217,216,214,212,148,99,94,127,204,206,171,143,115,124,149,146,140,124,135,123,106,125,194,232,225,223,223,222,217,216,215,213,108,103,101,93,99,137,154,123,101,111,135,132,124,115,107,95,146,224,234,226,225,224,223,222,220,217,216,215,111,98,94,97,93,88,77,72,76,84,98,109,102,91,151,211,238,231,227,229,229,227,225,222,221,218,216,216,100,93,92,91,86,93,67,54,65,64,67,71,85,173,242,237,231,231,231,230,229,228,225,223,222,219,217,217
0,189,189,191,193,195,198,199,200,201,201,202,205,207,207,206,206,207,208,208,208,207,208,209,208,208,208,207,207,188,191,194,196,197,199,200,201,202,203,203,205,207,207,207,207,208,208,209,209,208,208,209,209,209,209,208,209,189,191,194,198,199,200,202,202,204,206,205,207,208,207,207,209,209,208,210,210,210,212,211,211,211,211,212,210,190,193,195,197,199,200,203,204,206,207,209,208,210,212,217,208,206,214,223,211,207,228,202,204,215,214,213,211,192,195,197,198,200,202,204,206,207,216,230,211,195,230,233,200,179,219,236,208,185,224,200,182,216,215,214,213,194,196,198,199,202,204,206,209,206,239,244,217,172,204,230,203,165,179,230,210,171,198,212,170,206,216,215,215,195,197,200,202,204,206,225,226,200,239,240,223,181,181,228,211,177,166,232,211,164,161,212,182,175,202,215,216,196,199,201,203,205,219,248,231,197,218,243,224,197,180,228,215,179,176,233,204,158,123,192,202,179,168,194,218,198,200,202,204,205,237,254,239,211,201,243,222,201,175,233,222,172,178,227,187,146,89,158,210,197,158,167,221,200,201,203,204,210,247,252,247,222,191,235,224,197,172,236,222,160,152,201,167,124,85,175,223,207,162,173,224,201,202,203,203,220,243,235,247,225,183,219,221,188,164,224,209,153,119,162,151,106,108,215,229,209,160,195,225,202,204,206,204,236,243,225,232,200,156,192,207,174,146,183,180,144,109,158,149,109,171,230,223,188,155,214,225,203,206,205,214,248,240,208,210,166,128,161,184,162,127,140,158,125,115,182,188,191,218,222,202,162,163,225,225,204,206,204,229,253,237,202,194,168,135,148,179,164,111,117,153,145,194,231,230,220,204,196,173,151,178,228,227,207,209,207,225,254,247,223,192,170,148,144,191,169,106,116,188,230,245,240,228,211,187,170,157,141,192,229,228,209,212,210,223,254,252,236,212,185,167,170,193,174,159,209,246,252,243,233,220,197,172,156,147,153,218,230,230,209,211,210,228,255,254,244,227,212,189,189,205,221,243,254,253,248,236,219,201,179,158,145,147,204,231,231,231,208,210,211,229,255,255,251,239,228,211,203,224,240,254,254,250,242,226,204,181,160,146,137,187,229,231,233,232,209,211,211,226,255,255,254,246,236,224,215,225,240,253,252,243,233,214,190,164,147,136,162,227,232,232,233,233,209,211,214,223,253,254,254,248,235,223,217,220,232,244,241,228,217,199,171,150,135,145,214,235,234,234,233,233,210,212,216,219,249,255,252,243,228,213,212,216,223,229,222,209,191,175,153,134,136,205,236,235,234,235,234,234,212,215,218,218,243,255,249,237,223,208,209,217,220,220,206,189,166,149,129,121,189,236,235,235,236,235,235,235,207,204,202,195,206,215,201,192,183,177,185,196,193,190,173,159,143,124,111,175,234,236,237,236,236,237,236,236,166,155,152,146,138,133,129,119,110,101,100,97,89,88,84,85,89,90,111,205,237,236,236,237,238,237,237,236,144,143,140,133,130,126,118,108,100,88,81,71,63,62,59,57,56,60,67,90,176,241,237,238,239,238,238,238,148,145,143,136,132,124,116,106,97,86,79,70,64,62,59,57,55,57,58,51,140,242,239,239,239,239,239,239,166,146,144,137,134,123,114,104,91,84,77,71,63,61,58,55,54,53,54,66,203,241,239,240,239,239,239,239,180,148,141,138,133,122,111,102,92,83,75,70,64,62,58,54,52,52,51,116,240,239,239,240,241,241,241,241
6,138,140,141,143,146,147,147,148,149,149,149,147,147,147,148,147,147,146,146,146,145,143,143,143,142,141,140,138,138,141,143,145,146,148,148,149,150,151,151,150,150,149,149,148,149,148,148,146,146,145,146,145,144,142,141,140,139,142,145,147,147,149,151,151,151,152,152,152,153,152,151,150,150,149,148,148,147,147,147,147,146,145,144,142,140,143,145,147,149,150,152,153,153,153,152,153,153,154,154,154,153,152,152,150,150,148,145,147,148,147,146,145,142,145,147,149,151,152,153,154,154,154,155,155,154,149,142,139,140,142,137,139,130,129,157,131,131,152,147,146,143,147,149,151,153,154,155,156,154,155,154,152,149,141,127,124,136,146,138,140,128,126,162,115,108,155,147,147,146,148,149,152,154,155,156,156,157,160,166,165,163,152,139,130,133,135,130,124,124,108,106,101,137,153,150,149,146,148,151,153,153,154,154,159,169,169,166,152,139,121,109,91,87,91,101,106,110,119,132,148,154,152,152,149,146,148,151,151,163,169,155,156,155,149,136,128,121,107,104,94,84,131,145,151,155,159,159,156,153,153,153,151,146,149,152,150,181,171,148,143,140,147,153,152,140,132,132,135,90,122,167,157,158,157,156,156,156,154,154,153,146,149,152,155,172,144,136,142,148,156,161,158,149,141,132,117,80,88,165,158,159,158,158,158,156,154,154,153,147,151,150,169,177,141,136,138,143,150,153,154,144,128,124,106,67,70,152,163,159,159,159,158,156,156,155,154,149,153,151,174,156,143,147,142,144,146,153,156,141,119,125,119,68,57,127,168,158,159,159,159,158,158,156,154,150,153,152,168,158,161,155,154,155,162,166,155,141,134,130,107,74,60,115,169,159,160,159,159,159,158,156,156,150,153,154,164,183,180,152,151,152,152,149,143,135,125,107,83,74,66,104,169,160,161,160,160,160,160,157,156,152,155,154,163,190,180,155,146,136,117,115,125,123,122,119,73,67,72,120,169,161,162,161,161,160,159,159,157,152,155,153,167,179,174,162,144,129,133,149,150,134,127,136,91,55,94,164,163,162,162,162,162,161,161,159,157,152,155,153,169,173,176,172,145,141,154,160,142,129,121,112,90,68,119,170,162,163,162,163,162,161,161,160,159,153,157,154,169,176,169,166,149,144,149,148,138,124,111,92,79,75,139,170,164,164,163,163,163,162,162,160,159,153,157,154,168,176,169,162,151,144,143,129,117,99,83,77,72,92,160,167,165,165,164,164,164,162,162,160,159,153,157,153,163,172,172,159,144,132,121,99,81,59,53,64,103,157,168,166,166,166,167,165,163,162,162,160,160,152,156,152,159,169,159,140,128,117,98,78,63,51,65,89,161,172,166,166,167,167,166,165,165,163,161,160,159,152,156,152,153,163,143,129,126,119,89,74,72,59,71,132,170,165,167,166,165,164,163,163,164,163,161,159,158,152,157,148,146,158,133,132,133,107,83,78,79,66,114,170,167,166,167,167,165,164,164,163,163,162,161,159,158,152,156,146,142,153,127,137,132,100,83,76,81,106,166,168,167,167,167,167,166,164,163,163,162,162,161,160,159,152,157,143,144,148,130,140,129,101,81,77,84,149,172,166,168,168,166,166,166,165,165,164,163,162,161,160,159,151,158,136,150,150,129,135,117,90,76,80,92,159,169,167,168,168,166,165,165,166,164,165,164,163,161,160,159,150,153,131,158,144,123,121,98,82,77,81,107,169,165,165,164,165,164,163,164,164,162,163,162,162,161,161,158
15,45,44,47,45,51,52,53,57,59,70,84,95,105,110,116,122,124,128,131,136,140,144,146,148,150,153,156,158,44,45,45,44,49,51,47,54,60,71,84,94,104,111,118,123,124,129,132,135,138,145,148,149,151,155,157,159,46,45,46,45,48,48,67,53,55,71,85,97,107,112,118,125,126,128,134,139,140,145,148,150,154,158,161,161,46,45,44,48,31,94,163,111,76,70,79,95,107,117,122,127,128,128,131,138,142,146,149,153,155,158,159,160,47,45,43,48,34,98,168,150,135,119,100,101,95,109,119,127,130,131,135,139,143,145,149,154,156,156,159,161,46,46,46,47,47,49,110,113,108,128,126,128,113,103,98,104,109,117,126,137,146,152,155,153,156,157,161,163,45,46,45,46,50,49,53,70,71,91,104,111,133,127,116,111,108,111,109,100,105,114,134,162,156,161,162,165,45,46,45,46,47,51,52,54,62,73,78,72,105,114,113,106,110,127,137,120,92,74,51,122,166,159,164,165,46,47,46,47,50,54,55,55,61,73,85,88,95,100,97,91,85,126,137,140,113,101,62,40,144,167,161,167,44,46,46,47,49,52,54,54,60,75,87,98,109,112,111,102,102,142,139,140,125,121,96,66,58,159,167,166,45,46,46,46,48,49,53,56,61,72,82,98,106,118,127,118,155,154,124,131,148,129,122,101,53,65,166,168,46,47,47,46,50,50,53,56,60,72,106,105,108,106,114,149,162,145,91,135,148,128,151,116,77,34,83,178,45,47,47,48,49,50,54,57,50,106,153,124,133,126,101,119,116,80,57,125,125,122,162,124,82,56,30,112,45,46,46,46,46,49,51,55,55,99,125,134,162,162,116,79,94,68,28,111,100,131,154,124,90,63,43,38,45,44,44,45,47,51,51,55,58,73,94,112,154,153,107,107,118,105,94,95,101,114,122,112,88,62,44,41,44,43,43,43,45,49,49,52,59,74,88,104,118,101,99,125,122,113,121,125,108,68,63,83,71,57,43,39,43,42,41,43,44,45,47,48,58,76,87,92,108,117,82,106,124,126,133,136,110,62,43,54,55,51,52,41,40,40,40,42,44,44,45,47,57,73,87,92,121,192,95,42,47,109,122,127,102,57,47,53,51,53,56,49,39,39,40,40,41,43,46,48,58,74,85,91,118,178,101,33,0,25,95,111,83,58,57,55,52,54,58,55,39,39,39,40,40,42,44,45,57,74,85,91,113,166,88,20,46,5,36,93,58,49,53,60,60,57,58,54,38,38,39,39,41,42,44,45,55,73,85,91,113,165,76,40,62,36,53,81,98,73,72,70,66,62,56,52,36,36,37,36,38,40,42,44,54,69,81,93,106,173,56,57,92,64,110,60,110,88,79,69,61,57,54,48,33,33,34,34,35,37,41,41,51,68,80,88,116,184,36,65,164,25,134,120,80,49,53,52,52,51,52,52,37,34,36,37,36,35,38,38,49,65,80,87,112,129,27,86,165,22,114,154,86,84,91,25,29,35,31,34,101,99,96,93,89,88,92,92,94,94,96,98,110,85,61,121,108,65,125,130,135,142,141,63,20,23,23,26,64,61,61,58,59,61,65,68,63,62,60,56,60,58,65,69,66,67,69,69,70,66,69,66,37,37,48,55,63,62,62,61,61,60,61,59,59,62,61,57,58,61,62,62,61,62,65,63,62,60,61,63,63,71,77,68,65,64,64,64,62,64,66,62,64,65,69,67,66,69,65,64,67,67,69,67,68,67,68,71,68,72,112,81
12,195,196,196,197,197,197,197,197,198,199,198,198,199,198,198,198,198,198,198,198,198,198,197,197,195,195,194,194,198,198,199,199,198,198,200,199,200,200,200,201,201,200,201,199,199,199,201,200,199,200,199,199,198,197,196,195,199,200,200,201,201,201,203,201,202,202,203,204,204,201,203,202,201,201,203,203,202,202,201,200,200,198,198,197,201,202,202,203,202,204,204,203,205,204,207,205,203,206,206,204,202,203,203,204,203,202,202,202,200,199,199,199,203,204,205,205,204,205,206,206,205,203,198,205,212,196,199,209,205,206,204,206,205,205,205,204,203,203,202,201,205,206,206,207,206,207,208,205,218,222,187,157,217,203,160,182,213,208,211,206,207,207,207,206,205,205,205,203,208,208,208,208,209,208,211,206,244,246,216,144,175,239,180,144,209,190,190,211,209,208,210,208,207,206,206,206,207,207,209,211,211,210,211,210,243,250,229,170,138,232,206,160,138,177,139,173,219,209,211,209,210,209,208,207,209,211,213,213,212,213,211,216,241,232,238,197,134,192,216,172,112,136,143,113,212,214,211,211,212,210,209,209,211,212,214,213,214,211,217,206,224,211,226,217,173,130,179,151,95,85,123,106,203,217,214,214,213,212,211,210,212,213,215,216,209,225,245,176,152,173,188,188,140,99,120,124,101,173,132,108,212,216,215,215,213,213,213,213,213,215,216,213,233,255,223,165,133,155,134,163,156,131,165,195,195,183,116,119,222,217,218,217,215,214,214,214,214,216,214,224,249,226,217,181,144,106,109,113,157,170,187,229,241,210,136,141,233,216,219,219,217,217,216,215,214,217,214,242,227,203,226,198,152,105,110,112,100,110,147,226,243,243,199,144,188,227,218,219,218,218,217,217,215,214,223,241,219,184,223,201,177,122,103,120,125,132,185,219,222,211,195,178,130,209,224,219,220,219,219,218,217,214,232,250,222,181,167,223,211,144,104,123,144,199,232,218,217,182,170,187,127,188,230,220,221,220,220,220,219,217,226,254,238,210,160,174,200,206,135,124,221,236,221,216,205,177,149,146,119,212,225,221,221,220,220,220,219,217,226,255,248,220,187,175,163,170,159,214,253,233,219,209,189,168,138,109,143,232,223,224,222,221,221,220,220,218,225,249,250,235,204,197,181,147,202,250,242,238,204,190,170,161,127,99,189,232,224,225,223,223,222,222,220,220,221,242,247,246,225,207,192,179,188,242,237,226,192,166,161,155,114,122,227,226,225,225,224,224,223,222,218,220,213,231,254,249,231,213,196,192,185,235,228,204,180,148,166,146,97,167,237,225,225,225,225,225,225,225,217,220,215,210,250,239,220,211,200,196,193,215,213,180,160,157,163,128,102,213,230,226,225,225,225,225,225,225,219,220,221,208,243,226,210,204,203,197,192,199,195,179,157,157,149,103,144,235,225,226,226,226,225,225,223,223,220,220,221,216,240,227,216,217,211,198,187,196,203,182,145,136,122,109,212,230,226,226,226,226,225,225,224,222,221,220,221,215,240,234,224,224,211,206,184,199,206,158,127,124,102,181,235,226,228,227,226,226,226,225,225,224,220,221,222,214,241,239,230,232,213,215,180,193,191,147,125,104,141,236,228,229,228,227,228,228,226,226,226,225,219,220,223,212,233,248,235,236,219,214,178,178,181,149,119,99,207,234,227,228,227,228,228,228,227,226,226,226,216,218,222,213,229,250,231,226,216,208,172,165,179,146,103,125,234,228,229,228,228,229,228,227,227,226,227,227
19,166,166,167,168,170,171,172,172,172,173,173,172,172,171,171,171,170,169,167,166,166,165,165,165,164,163,163,162,166,168,169,170,171,172,173,173,173,174,174,173,173,173,172,172,171,171,170,169,168,167,166,166,165,165,165,164,167,169,170,171,172,173,174,174,175,175,175,174,174,174,173,173,172,171,171,171,170,169,168,168,167,166,165,165,168,169,171,173,174,174,176,176,177,177,177,176,175,175,174,174,174,172,172,172,171,171,171,169,167,167,166,165,169,170,171,173,174,175,177,178,179,179,178,179,179,176,176,176,174,174,173,173,173,172,171,170,168,167,167,166,170,172,172,174,176,178,178,180,179,179,179,179,180,180,178,177,176,175,174,174,173,172,171,171,169,169,168,168,171,172,173,176,177,179,180,181,181,181,181,180,179,179,178,179,178,178,176,175,175,174,172,172,171,170,169,169,172,174,176,178,179,180,181,182,181,181,181,181,180,179,174,167,174,177,177,177,177,175,173,173,170,165,169,169,173,175,177,179,181,181,182,183,182,182,181,181,180,183,167,140,142,176,169,168,172,170,166,166,163,121,165,170,175,176,178,179,181,182,183,182,182,179,176,179,180,184,177,172,178,181,171,171,180,173,166,151,126,113,167,172,176,177,179,180,181,183,183,184,186,166,158,163,169,171,162,152,145,150,142,155,167,151,128,120,133,162,174,174,175,178,180,180,182,183,183,183,166,160,168,169,163,162,156,147,119,105,108,115,142,147,159,169,174,175,175,175,179,179,181,182,183,181,189,200,187,184,184,178,169,154,124,101,102,86,89,153,179,180,179,178,178,176,175,175,180,181,182,183,186,181,210,216,197,180,171,164,157,143,113,87,96,87,93,170,181,182,180,179,178,178,178,178,178,180,182,184,186,180,208,209,181,153,129,119,121,130,114,92,97,89,97,176,181,183,181,181,179,179,179,178,179,181,184,185,186,180,195,198,170,126,108,81,80,139,120,98,99,91,108,181,183,183,183,182,182,180,180,179,180,181,183,185,187,179,188,197,167,127,92,67,113,134,114,98,99,94,124,186,186,184,185,184,183,181,180,179,181,182,184,186,188,178,184,200,172,139,110,80,84,85,82,87,88,99,106,184,187,186,185,184,184,182,181,179,183,184,186,187,188,178,182,201,177,146,117,101,79,59,54,62,78,89,92,175,187,187,186,185,183,182,181,180,182,185,187,188,189,178,176,197,174,147,120,107,101,82,73,79,88,94,94,166,188,188,187,185,184,184,183,182,183,185,187,188,189,181,172,195,173,145,122,108,106,93,84,88,95,100,99,168,189,188,187,186,185,185,185,184,183,185,187,190,191,183,170,193,172,142,122,109,107,96,86,91,97,102,106,178,190,189,188,187,186,186,186,185,184,186,188,190,192,186,174,189,165,139,120,108,105,100,93,96,102,107,124,188,191,190,189,188,187,187,186,185,186,187,188,190,192,187,184,191,166,138,121,110,105,104,102,104,109,110,155,191,191,191,190,189,188,188,186,186,187,188,189,192,193,184,187,194,171,144,126,112,105,109,109,110,113,132,186,192,193,192,192,189,189,188,187,187,185,187,188,191,194,179,189,190,171,153,130,112,106,112,111,113,148,184,193,194,192,191,191,189,189,189,188,186,185,187,187,188,189,179,192,183,162,147,129,112,109,109,107,133,185,193,192,192,191,190,190,189,189,188,187,186,184,187,188,189,189,189,197,187,167,147,132,116,107,105,103,147,189,194,193,192,191,190,189,189,189,187,186,186
12,100,111,123,130,134,141,149,156,159,163,167,171,175,179,183,185,188,191,193,194,195,197,197,199,200,201,202,202,103,114,125,131,136,144,152,158,161,165,169,173,177,181,185,187,190,192,194,196,197,199,200,201,202,203,203,203,105,116,128,133,138,146,154,160,163,167,172,176,180,184,187,191,189,174,176,193,198,195,193,200,204,205,205,205,107,119,130,135,140,148,156,162,166,170,174,179,183,185,187,197,191,148,128,162,189,172,148,168,200,206,207,207,109,120,131,136,142,150,157,163,168,172,176,181,185,173,161,187,194,151,114,115,147,154,121,119,177,207,209,209,111,123,133,138,144,153,160,165,170,175,178,186,196,165,126,135,180,168,129,101,110,145,129,104,147,206,211,211,113,125,135,140,146,154,161,167,172,177,181,196,204,170,129,113,160,184,148,111,99,136,139,110,132,203,214,213,116,127,137,142,148,156,163,169,174,179,186,201,201,187,153,125,141,187,165,119,91,116,135,113,122,199,215,216,118,129,139,144,150,159,165,171,176,181,193,190,183,198,175,136,120,167,174,124,87,93,119,106,112,195,217,218,120,131,140,145,152,161,167,171,173,180,197,171,163,193,183,140,110,136,166,123,84,78,105,96,105,193,219,220,122,133,142,147,154,162,170,174,168,167,177,155,142,163,175,145,107,104,144,118,83,72,93,91,107,196,220,221,124,134,142,147,154,163,179,191,185,180,173,140,104,102,148,136,94,79,119,118,89,72,90,93,113,201,222,222,126,135,143,148,155,165,189,207,202,198,179,124,82,61,106,112,81,61,97,129,111,82,99,106,121,203,223,223,128,137,144,150,157,166,193,203,182,173,156,109,78,52,72,95,80,53,85,145,131,92,104,111,104,181,223,225,129,139,146,151,158,167,188,188,159,140,142,118,85,54,51,86,85,68,104,151,137,95,92,100,86,158,222,226,130,140,146,152,159,168,182,174,144,118,128,131,91,61,46,69,83,103,144,155,135,96,81,84,91,170,224,228,130,140,147,151,159,168,182,182,156,125,116,129,96,70,54,66,101,142,165,161,142,113,91,84,116,199,227,228,131,140,146,150,159,168,185,186,163,135,114,117,100,77,64,79,132,164,173,170,153,125,98,90,154,217,217,203,132,140,146,151,160,169,185,187,173,152,117,107,111,97,82,100,159,178,180,175,150,120,95,107,183,193,180,166,133,141,147,152,161,170,184,186,179,160,119,113,127,115,101,123,176,188,186,169,134,109,92,120,170,141,135,158,133,141,147,153,161,170,180,181,177,162,123,123,132,120,126,159,189,192,181,151,117,97,92,116,128,126,114,123,132,140,146,152,161,169,176,175,175,161,129,130,135,127,148,174,191,186,165,131,102,89,108,139,124,128,120,120,128,135,141,147,155,163,170,174,176,160,135,135,135,128,151,168,179,172,147,114,91,89,125,157,128,115,142,164,111,115,118,122,126,131,136,152,170,159,141,138,134,127,146,162,163,151,124,97,85,102,127,135,127,123,144,151,104,105,106,107,109,110,110,128,165,163,146,138,132,128,137,151,146,123,99,87,96,130,168,158,149,142,133,143,106,106,107,109,110,111,112,122,163,171,153,137,131,128,130,139,129,103,85,98,150,178,204,197,188,163,145,163,106,107,108,109,111,111,112,119,155,165,147,130,122,119,122,126,113,91,78,118,195,197,187,187,187,161,134,134,107,108,109,111,112,112,113,119,154,159,128,111,107,108,114,113,98,81,72,118,198,193,186,196,207,181,141,120
8,91,100,108,114,119,123,127,129,131,134,138,140,142,145,148,149,152,154,155,155,156,156,159,162,161,162,162,162,93,102,108,114,120,124,129,130,132,141,125,129,145,146,148,151,154,154,156,156,157,159,162,163,162,163,162,162,95,104,110,116,122,127,132,130,141,171,103,87,153,146,148,152,155,156,157,158,162,164,161,162,163,163,163,164,96,105,113,120,122,128,133,126,156,159,80,82,155,148,150,154,156,156,157,161,164,162,166,165,164,164,165,165,98,104,114,122,124,129,133,128,175,133,60,105,157,149,151,154,158,160,160,163,164,165,141,160,167,165,167,167,102,106,115,122,125,131,131,139,180,110,57,125,156,152,155,156,158,161,165,161,176,165,68,125,177,165,168,169,104,108,116,121,124,133,130,155,178,111,64,144,154,153,156,159,166,163,165,162,190,154,49,119,181,169,171,171,103,110,117,123,129,135,128,167,170,104,70,151,148,156,159,148,137,160,166,147,188,157,73,111,183,170,172,171,104,112,119,125,130,136,127,180,161,88,85,152,114,125,167,143,100,101,159,126,184,165,120,82,167,176,174,175,106,114,124,125,128,136,131,193,166,106,162,159,119,103,164,146,94,88,149,115,151,182,133,72,114,185,172,177,107,115,122,125,132,137,138,202,162,139,209,164,112,107,160,130,74,91,138,88,156,193,136,74,91,190,174,179,107,116,122,129,133,134,149,193,147,116,204,179,98,115,159,111,57,89,123,80,188,187,138,69,108,191,176,180,110,117,123,126,132,133,152,185,163,130,181,170,76,132,153,95,59,63,111,80,189,173,125,59,115,192,178,182,109,118,126,128,137,132,162,189,179,169,180,165,103,128,167,116,54,65,108,119,181,146,108,54,129,193,180,183,110,117,126,128,134,133,188,179,171,151,167,180,130,144,189,130,53,91,137,165,171,131,93,54,147,191,181,183,109,118,126,132,132,145,188,141,137,125,137,151,102,142,138,89,125,169,169,141,146,129,92,50,152,192,181,184,111,118,126,132,130,168,186,144,128,114,92,90,83,87,127,171,190,169,161,126,110,112,89,46,158,192,182,186,112,120,126,132,128,198,185,157,137,107,92,87,93,156,216,216,179,161,144,109,87,88,71,57,186,188,186,188,112,122,128,131,144,213,184,162,135,110,94,71,136,218,215,206,179,146,124,94,75,79,48,105,198,184,187,188,114,123,130,126,169,219,179,161,138,123,103,111,200,210,208,193,162,131,108,83,65,70,44,164,194,187,189,190,114,123,134,121,187,221,178,159,148,138,128,175,204,202,194,178,146,117,97,72,62,58,51,181,195,187,190,193,115,123,134,123,204,217,181,170,163,153,175,199,209,188,169,159,131,105,87,65,62,50,74,195,190,190,191,192,117,124,133,124,213,219,184,171,157,161,196,208,203,170,154,143,118,96,75,62,60,40,136,198,189,194,193,192,118,126,135,126,203,223,192,175,159,162,192,200,177,156,141,130,106,83,67,60,43,94,193,189,191,192,193,194,115,124,134,126,194,223,196,182,162,158,178,181,169,155,131,123,99,75,64,49,77,185,191,191,191,193,193,194,116,126,134,129,179,210,176,171,157,158,166,176,173,157,134,121,97,71,49,51,168,195,189,192,192,194,194,195,117,126,135,130,168,189,176,168,170,171,154,162,165,146,125,111,86,55,32,135,194,187,190,192,193,193,195,196,118,127,135,132,163,196,189,180,184,174,151,152,160,142,115,100,76,33,79,189,187,191,192,193,195,195,195,195
14,172,172,172,174,174,174,175,174,174,174,173,172,172,171,168,168,167,165,164,164,161,160,159,158,156,154,152,150,174,173,174,175,176,177,177,177,177,176,177,175,174,173,172,171,170,168,166,166,166,163,161,160,159,158,156,154,175,177,176,178,179,180,180,180,179,178,178,177,176,174,173,172,171,170,168,167,166,165,164,163,160,158,157,155,176,178,179,180,181,181,181,181,181,181,179,179,180,176,173,172,172,172,170,168,167,166,165,164,163,159,158,157,179,179,180,181,181,182,184,183,184,185,184,178,168,180,181,182,175,173,173,171,169,168,166,165,164,162,160,158,181,182,182,184,184,185,187,186,183,168,157,148,98,113,121,151,173,179,178,173,172,170,168,166,166,164,161,159,182,183,184,186,186,187,188,181,157,135,109,82,53,63,86,93,119,134,159,177,174,172,171,168,168,166,164,161,183,184,185,186,187,187,188,176,142,97,64,53,56,50,69,84,97,78,114,190,173,173,172,169,168,167,165,163,184,186,187,189,188,183,177,153,107,45,39,42,43,40,45,49,68,51,71,159,179,173,173,172,169,168,166,165,185,187,189,190,189,172,158,121,65,44,36,36,41,41,44,44,52,64,63,72,173,177,175,173,172,171,167,166,187,189,190,190,188,166,141,76,46,50,43,42,42,37,40,43,44,62,55,87,188,177,176,174,172,171,168,167,190,189,190,190,190,173,145,70,44,42,42,49,41,64,161,144,151,75,56,66,148,185,177,175,173,172,170,168,189,192,193,192,192,174,145,82,41,37,39,49,36,139,206,194,200,172,106,71,80,113,166,179,173,173,171,168,191,192,192,192,191,175,143,78,49,51,42,30,111,201,190,190,187,195,172,95,100,76,139,186,174,174,173,172,192,192,192,195,191,180,148,86,61,58,48,54,190,196,195,192,192,189,119,101,100,75,157,184,176,175,174,173,192,193,194,197,192,183,158,107,74,55,43,70,198,194,195,192,197,153,95,101,84,87,186,180,179,176,175,173,193,196,197,196,188,181,163,112,81,56,35,100,214,195,193,197,184,99,87,96,64,128,193,180,180,178,177,174,194,196,197,196,184,184,162,120,87,57,40,67,168,196,203,198,133,90,79,81,50,168,187,182,181,179,177,174,193,196,197,195,185,181,161,122,85,57,53,49,61,87,161,139,89,99,90,50,120,194,183,184,182,181,178,175,194,196,198,194,184,188,164,121,93,62,52,58,66,69,74,72,82,92,65,99,196,187,185,183,181,181,179,176,195,196,200,192,184,193,163,120,92,65,49,58,67,75,80,73,78,80,76,188,191,187,186,184,182,181,179,178,196,197,200,188,186,190,156,115,95,68,49,59,68,72,80,81,70,53,158,200,189,189,187,185,183,181,179,178,197,198,200,187,187,184,152,114,100,73,50,58,71,75,78,80,53,101,202,190,190,190,188,186,183,182,180,178,196,197,199,186,189,176,146,117,102,73,50,61,75,81,81,63,70,197,195,192,191,190,189,188,186,183,181,179,197,198,200,185,183,164,140,112,97,72,49,61,77,76,74,40,132,210,192,195,193,190,189,188,186,183,180,179,198,199,199,184,176,161,137,111,93,71,51,60,72,73,53,68,199,197,196,196,195,191,190,188,186,185,182,179,197,201,198,185,169,159,131,104,86,68,51,58,66,61,42,167,207,197,197,196,195,192,190,189,187,185,183,181,197,198,197,184,163,153,126,101,78,63,50,54,54,40,142,212,198,199,198,196,194,192,191,189,187,184,182,181
2,150,150,149,149,150,150,150,149,148,147,148,148,147,145,144,144,143,141,143,142,140,139,139,140,138,136,135,134,151,151,151,151,151,151,151,151,151,150,149,149,149,148,147,147,146,143,144,143,142,141,140,140,138,137,136,136,151,152,152,152,152,152,152,151,152,152,150,151,151,150,148,143,141,144,144,146,147,145,143,140,140,138,137,137,152,153,155,154,153,153,154,153,153,153,152,153,150,155,155,140,132,132,128,125,129,138,148,142,142,140,139,139,154,156,155,155,155,156,156,156,155,155,153,151,163,168,154,146,142,132,126,110,101,80,98,150,143,142,142,139,156,157,155,155,156,157,156,156,155,155,153,163,172,167,162,161,161,141,130,128,99,94,64,114,146,144,141,140,157,158,157,156,158,157,157,158,157,154,160,170,169,173,111,92,121,86,80,130,123,113,92,74,82,128,144,141,159,159,159,159,159,158,159,159,158,155,168,172,157,135,80,41,47,45,45,74,96,82,54,54,47,122,149,141,160,161,160,161,162,161,160,159,161,170,182,137,87,68,53,43,41,48,136,125,133,113,78,63,96,149,144,144,162,163,163,162,162,163,161,163,179,185,170,120,78,52,34,36,37,96,163,156,156,157,152,145,150,147,146,145,162,164,164,163,163,164,161,175,185,180,149,111,84,64,49,34,85,154,153,154,153,151,152,153,150,148,147,146,165,165,165,165,165,157,172,186,179,150,108,80,68,55,41,89,165,156,157,156,154,153,152,153,152,149,147,146,166,167,167,167,160,171,193,185,166,148,101,50,46,51,44,141,162,156,157,157,156,155,153,153,152,149,149,146,167,168,168,161,172,196,191,171,152,148,101,64,49,38,84,167,158,159,159,158,158,157,155,153,153,152,150,148,168,171,164,172,197,194,176,161,163,125,84,61,42,31,145,168,161,159,160,160,158,157,156,155,155,154,149,149,172,169,167,196,198,187,168,171,149,107,83,49,41,32,124,174,161,161,162,160,160,158,161,157,145,148,156,150,172,167,193,201,195,180,168,158,130,101,70,33,38,39,52,152,165,162,162,161,160,163,143,121,117,100,131,156,167,184,204,196,187,172,160,149,124,84,52,34,41,44,37,86,175,160,166,167,166,125,100,118,125,75,111,158,177,204,197,187,175,167,152,138,107,68,46,46,55,55,52,50,142,175,155,121,90,91,113,120,77,104,156,151,205,206,191,181,167,153,142,125,87,64,49,60,69,69,66,53,60,106,75,76,68,90,111,74,84,164,155,154,109,180,190,172,162,144,134,111,85,64,55,71,73,73,65,62,53,62,65,84,92,89,80,39,144,160,156,156,42,65,132,147,140,135,121,109,81,55,58,75,71,70,66,62,59,72,79,82,85,67,38,78,165,157,157,156,51,43,42,87,105,95,89,71,51,49,55,67,66,65,62,61,65,70,72,64,55,72,117,158,162,160,159,158,41,47,42,38,49,52,44,33,39,44,44,56,61,59,49,48,43,43,60,97,135,165,172,165,164,163,160,159,42,40,39,44,40,19,25,31,28,29,34,41,36,31,53,72,80,115,158,175,174,169,165,164,164,162,161,159,41,36,38,35,45,23,1,14,12,11,26,39,62,111,160,175,178,179,173,169,168,168,167,166,165,163,162,160,39,36,35,32,44,38,0,3,9,0,43,156,184,184,179,176,173,172,172,172,171,171,169,168,166,164,163,161,35,32,31,29,37,39,0,0,3,2,0,36,163,180,175,177,176,176,175,174,173,171,171,169,166,166,164,162
13,164,169,171,173,175,177,180,181,181,182,184,185,185,184,184,184,184,182,182,181,179,178,177,177,176,173,172,170,167,170,171,174,176,179,180,182,182,185,186,186,187,187,187,187,186,186,185,183,181,181,180,179,178,176,174,171,168,170,174,176,177,181,183,184,186,188,188,188,188,188,187,188,188,188,188,187,185,184,183,182,180,178,177,175,169,173,176,177,178,181,184,186,188,189,189,191,192,192,191,188,189,193,191,188,187,187,185,184,182,181,179,177,170,174,176,177,180,182,186,188,189,190,190,193,194,185,189,196,191,187,192,193,187,188,187,186,185,183,181,178,171,175,177,178,182,185,187,189,191,192,192,195,181,141,108,171,185,134,105,162,197,189,188,187,187,184,183,180,172,176,178,179,183,186,188,190,191,194,192,199,192,153,117,92,141,134,80,76,198,191,191,189,189,187,184,181,174,177,179,180,185,188,190,192,192,195,196,199,212,167,141,73,105,145,103,49,170,200,193,192,190,189,185,184,175,179,180,181,185,189,191,194,194,197,197,196,208,172,129,73,79,133,101,41,153,204,192,193,193,191,188,187,175,179,181,183,186,189,191,195,197,198,203,205,198,170,123,80,58,99,81,35,149,205,192,193,192,190,189,187,176,181,182,184,187,190,194,196,197,192,158,175,173,166,126,94,57,100,90,40,170,205,195,195,194,191,190,188,176,180,182,186,189,193,196,196,201,172,110,90,97,149,172,124,70,107,109,44,167,208,196,196,196,194,191,190,177,181,184,187,189,193,197,198,212,167,119,104,68,129,200,140,71,86,101,37,98,213,196,197,196,195,193,192,177,183,185,187,191,193,195,181,138,156,140,126,80,43,137,100,62,77,73,61,52,168,209,196,197,196,194,192,177,183,186,188,192,189,203,164,95,97,160,131,109,37,11,23,42,83,82,89,73,90,211,199,198,196,195,194,179,184,186,188,189,206,208,143,115,89,130,140,108,78,11,37,57,66,116,114,101,53,173,208,198,197,197,195,179,183,188,190,194,209,162,150,134,115,87,136,116,94,31,38,113,123,129,115,101,51,147,213,198,198,197,195,179,185,189,190,194,215,163,134,131,112,86,105,108,69,34,43,142,161,155,105,86,51,165,212,198,198,196,195,181,185,188,191,198,205,163,112,101,99,71,39,74,60,48,66,161,158,148,114,72,55,195,207,202,199,197,196,181,185,190,191,196,197,185,156,108,69,42,21,59,88,67,123,184,153,138,108,54,80,215,203,205,202,199,197,182,187,190,190,193,197,194,170,135,107,90,85,87,99,110,187,179,143,120,102,44,117,222,205,205,202,200,198,183,189,189,191,196,195,189,178,151,132,105,102,123,168,182,185,162,135,109,91,39,155,219,205,206,203,200,198,184,188,189,193,195,198,185,163,147,124,102,104,117,184,180,166,146,122,101,73,43,190,213,206,206,204,201,198,184,189,190,193,196,201,176,152,147,126,109,113,113,165,173,161,134,108,89,57,63,215,208,207,206,204,202,200,185,189,191,194,196,203,190,159,148,130,122,117,115,159,168,155,126,93,78,31,119,224,207,207,206,204,201,200,184,188,188,192,195,201,206,168,146,142,126,109,104,137,153,137,107,76,54,42,198,214,209,207,206,203,202,201,183,188,190,192,196,199,205,197,158,139,120,109,101,118,137,124,92,73,31,114,226,208,210,207,205,203,203,203,181,186,188,191,195,199,201,205,182,143,121,106,105,110,127,120,91,71,36,174,218,208,207,205,204,203,201,200
21,177,181,184,186,188,190,191,192,193,194,195,194,195,193,193,193,194,191,190,190,188,188,188,187,185,184,183,182,178,182,185,188,189,191,192,194,195,196,197,197,197,196,195,193,188,193,192,192,190,190,190,189,187,186,185,185,180,183,186,189,190,191,193,195,197,198,198,198,198,197,199,205,136,164,199,192,192,191,191,190,188,187,187,186,182,184,188,190,191,192,194,197,199,199,199,199,200,197,204,206,124,157,202,194,194,193,194,192,191,188,188,188,183,186,189,192,193,194,196,198,200,200,200,200,200,198,210,196,127,167,203,196,196,193,189,195,193,191,190,190,183,187,190,191,194,196,198,199,200,201,201,202,204,198,216,193,128,174,205,195,196,182,139,172,199,192,192,191,185,188,191,193,196,197,198,199,201,202,204,204,205,202,219,189,132,185,203,197,193,170,118,163,201,193,194,192,186,190,193,195,197,199,199,201,203,204,206,205,205,204,219,183,130,190,203,199,188,165,124,188,197,194,193,193,186,190,193,196,198,199,201,204,204,205,205,205,203,208,218,179,126,189,206,198,186,150,137,201,195,196,194,194,187,192,194,197,199,200,202,204,204,206,206,207,202,215,219,170,124,196,203,190,184,134,168,205,196,197,196,195,189,194,196,198,200,201,203,204,206,206,204,203,203,225,216,158,136,209,194,186,168,126,193,202,198,198,197,196,190,193,197,199,200,203,205,206,205,211,205,161,157,211,190,137,141,211,190,189,139,143,209,201,200,200,199,198,191,193,197,200,201,204,206,206,206,209,208,168,134,133,132,113,154,208,194,177,124,183,208,202,201,201,199,198,192,195,198,200,203,205,206,207,209,216,206,205,177,148,111,108,155,183,184,147,134,207,205,203,202,201,200,199,192,196,199,202,204,205,208,208,216,225,216,234,213,168,120,114,128,140,149,121,169,213,204,204,203,203,202,201,193,197,200,202,205,206,208,212,214,185,208,215,202,153,121,113,118,124,122,124,201,209,207,206,205,203,204,203,192,197,200,203,206,208,207,222,200,158,195,159,190,169,133,115,108,117,110,153,216,208,208,208,206,204,204,203,195,198,201,204,206,209,209,225,212,178,148,110,173,190,146,118,107,111,109,182,216,209,209,208,207,207,206,205,196,200,202,205,207,208,211,225,190,153,136,112,150,204,160,130,115,111,110,197,215,211,210,208,208,208,207,205,195,200,203,206,208,208,219,228,185,174,165,137,195,213,171,154,123,115,109,196,219,213,212,211,209,208,207,206,195,200,204,206,208,207,225,224,196,186,154,182,244,210,173,163,130,120,117,200,219,213,213,213,210,209,209,207,196,201,204,205,209,209,229,232,212,172,167,237,231,192,165,161,135,123,125,208,216,214,213,214,212,211,210,208,196,201,204,206,210,209,232,243,201,173,184,243,218,191,160,148,139,122,137,217,214,214,213,213,213,211,210,208,197,202,205,208,211,209,234,228,186,191,188,240,215,193,175,135,131,119,155,222,215,216,216,214,213,212,210,209,197,200,204,206,209,210,227,207,208,199,185,240,210,184,170,138,129,119,176,223,216,216,215,215,213,213,211,210,196,199,201,205,207,210,216,216,233,196,198,231,196,171,152,136,131,123,192,221,215,215,213,212,212,211,210,208,196,200,202,205,209,212,212,223,224,186,184,212,183,157,136,131,126,132,207,220,216,215,215,213,213,212,211,208,197,200,203,206,209,212,213,218,206,185,173,195,179,153,141,132,120,142,219,218,217,216,215,214,213,212,212,210
17,117,121,122,124,127,128,128,130,133,134,134,136,137,138,138,142,142,140,144,143,142,145,143,143,144,144,144,143,117,120,123,125,128,129,130,132,134,135,135,137,138,140,142,143,142,147,147,148,145,145,144,144,146,145,144,143,117,120,124,128,128,130,131,133,133,137,137,138,139,141,142,145,131,111,123,102,146,147,147,146,147,147,146,145,118,121,123,128,130,131,132,134,135,137,136,138,140,144,142,149,149,83,58,54,137,151,147,148,147,148,147,145,119,123,126,128,130,132,134,137,139,140,139,141,143,145,144,148,167,109,43,45,146,149,149,149,147,148,148,146,120,123,127,129,130,133,136,138,138,140,141,144,148,145,147,146,168,129,56,56,159,149,150,150,148,150,150,147,121,125,128,129,133,135,136,137,138,140,145,135,125,156,148,145,171,138,69,90,162,149,151,151,149,150,151,149,124,126,128,130,134,135,137,140,143,141,146,141,88,108,156,155,171,131,74,113,160,152,153,153,152,152,151,151,125,127,129,131,134,135,138,138,139,133,151,149,118,90,114,149,167,129,71,111,162,152,154,154,153,152,151,149,125,128,129,132,135,136,134,155,143,87,106,158,159,153,100,58,125,127,76,111,163,153,156,153,152,153,153,151,126,129,130,134,138,137,141,157,149,94,114,129,150,166,139,62,65,101,67,108,164,154,155,153,155,155,154,153,128,130,132,134,139,137,152,143,124,124,84,71,62,176,164,98,45,71,54,103,166,155,156,155,155,155,155,154,127,130,133,134,138,136,156,141,76,83,71,38,30,159,182,124,52,50,41,99,168,155,158,157,156,155,155,155,127,130,134,136,140,138,160,139,105,104,82,75,75,137,194,137,71,44,44,90,167,156,158,158,156,156,156,156,128,132,135,136,139,142,168,139,116,106,86,103,111,144,183,141,90,45,40,88,167,156,159,159,158,158,157,156,128,131,135,140,137,152,161,114,101,97,101,111,157,189,149,135,96,43,30,86,169,157,159,159,159,159,156,154,129,131,136,141,135,161,161,120,105,98,108,130,194,184,143,117,87,41,22,89,169,158,160,159,159,159,158,156,129,133,135,139,136,170,164,130,110,98,110,168,190,168,139,110,77,41,23,114,170,158,160,159,159,159,160,158,129,133,136,139,137,176,163,137,123,99,132,190,179,164,129,95,72,37,37,149,164,159,160,161,159,158,159,158,129,133,138,141,138,184,164,145,140,110,143,187,166,159,133,86,64,27,76,171,157,161,162,162,160,160,158,158,131,135,138,143,139,187,170,151,151,127,140,179,160,150,126,81,54,30,132,168,159,161,162,163,160,159,160,160,131,136,139,142,136,180,181,157,148,138,134,165,154,151,120,75,42,51,164,161,160,160,161,162,160,160,160,160,132,136,139,143,139,169,183,155,140,135,139,151,142,156,129,72,38,71,172,160,162,163,163,163,162,163,161,160,133,137,139,143,139,167,175,152,140,128,137,148,139,156,120,73,37,106,174,160,164,164,164,164,163,162,162,160,132,135,139,144,140,172,179,161,142,137,142,150,136,150,103,64,47,150,166,163,163,163,163,164,163,163,162,160,129,134,139,144,142,180,188,159,140,147,151,142,123,135,88,43,87,172,161,164,163,164,164,164,163,164,162,161,132,135,140,143,143,189,180,142,141,150,153,127,109,117,70,40,144,168,162,164,165,165,164,163,165,164,163,162,133,136,140,142,146,191,173,136,143,151,147,119,106,99,53,66,169,161,164,165,165,165,165,164,165,164,162,162
6,104,107,110,111,113,117,119,120,123,126,126,128,129,129,130,132,132,132,132,131,132,133,134,135,135,135,134,134,106,108,109,111,113,117,120,122,124,125,126,127,129,128,131,133,132,133,134,133,133,134,134,134,134,135,134,134,107,108,110,112,115,118,119,121,123,124,126,127,130,130,130,132,132,130,133,134,131,133,133,133,134,135,135,134,108,109,111,114,117,119,120,124,125,125,128,129,131,133,133,132,134,135,135,134,133,133,135,134,135,139,136,134,109,111,113,117,119,120,122,125,126,127,130,131,132,131,127,117,101,105,117,110,108,104,86,117,125,119,136,135,111,112,114,119,120,121,124,126,127,127,129,132,133,131,127,109,79,85,100,102,94,89,74,86,108,77,135,136,111,112,113,118,120,122,125,125,126,129,137,142,138,133,117,92,78,64,62,66,60,60,60,57,60,95,142,137,112,115,116,118,121,123,127,131,132,137,133,123,112,93,70,49,47,60,64,70,87,96,103,111,123,141,138,139,113,116,118,121,120,127,137,125,113,108,107,101,100,91,79,57,70,106,123,146,146,149,149,146,144,141,141,140,117,118,119,122,120,151,148,106,85,86,91,98,106,108,104,98,89,81,64,131,146,142,143,142,143,143,142,142,117,118,120,123,122,165,135,102,101,93,88,81,82,86,86,81,72,71,37,114,153,143,146,145,145,145,144,144,117,118,123,126,124,165,128,119,130,106,90,91,89,96,99,91,73,62,49,131,151,147,147,147,146,147,146,146,119,118,122,124,131,165,149,160,143,107,84,85,86,90,91,87,83,78,59,97,159,147,148,148,149,149,147,147,119,119,124,124,138,166,162,159,141,124,113,91,71,57,68,73,68,62,54,34,115,157,149,150,149,150,150,149,120,121,126,123,147,166,159,153,153,150,133,102,83,78,89,85,66,54,53,19,60,162,150,151,150,151,151,150,121,122,127,122,156,169,163,161,162,147,132,113,92,82,88,82,74,62,67,30,89,161,150,151,151,153,153,151,121,123,125,125,162,168,162,163,160,147,133,106,92,90,86,84,77,72,57,78,152,153,152,152,151,154,154,152,121,124,125,129,168,163,162,160,158,142,115,102,94,91,78,73,76,72,51,133,159,151,153,152,152,154,154,152,124,125,126,133,171,162,160,158,151,116,106,107,95,74,63,22,49,59,65,153,153,153,154,155,155,156,155,153,124,127,124,140,166,158,158,155,137,104,98,105,92,54,19,5,31,45,113,160,151,154,155,156,156,155,155,152,125,127,123,147,160,153,154,144,117,94,105,101,76,58,23,31,71,113,157,155,156,156,156,156,156,156,156,154,126,128,125,153,156,146,148,133,110,96,112,98,73,55,30,57,161,160,155,156,157,157,158,157,156,157,157,155,126,130,126,154,151,149,140,123,106,112,119,92,72,54,30,87,168,153,157,157,159,159,158,158,157,158,157,156,126,129,123,149,151,140,124,120,104,117,111,83,66,49,40,136,163,158,158,159,160,159,158,159,159,159,157,156,126,129,125,141,143,135,123,108,104,118,97,76,62,39,93,165,156,160,159,160,160,160,160,160,160,158,156,157,127,129,120,149,148,132,123,100,108,111,89,74,49,67,159,160,159,161,161,160,161,160,160,160,159,158,158,157,127,123,122,153,142,128,117,102,109,100,78,66,40,124,169,160,163,163,163,161,160,162,162,160,159,159,160,158,130,121,126,145,133,113,104,105,99,89,69,55,45,143,163,162,163,163,164,163,162,164,162,162,160,159,159,159
2,187,187,188,189,190,190,190,189,189,189,189,189,189,189,188,188,187,187,187,185,185,182,182,184,178,73,31,56,191,193,194,192,192,192,191,193,192,193,193,195,192,191,192,192,187,194,190,192,185,186,187,192,165,51,49,63,197,198,199,197,196,198,198,198,198,200,200,198,193,201,210,168,103,152,172,153,199,193,190,192,183,79,60,56,201,201,202,200,200,201,201,202,203,201,199,203,213,208,159,108,70,78,110,77,135,186,194,191,198,115,59,65,205,204,205,204,204,204,204,206,205,206,221,232,186,117,84,69,62,63,74,62,52,148,206,192,205,137,54,51,209,208,209,208,208,209,209,210,205,219,238,208,111,57,62,59,51,44,58,61,47,144,209,196,204,166,62,30,211,212,213,211,211,212,213,213,208,243,210,118,71,46,50,56,47,42,46,55,101,197,203,199,200,200,70,11,215,215,216,216,216,214,216,213,222,255,157,71,60,50,42,49,55,71,127,170,208,208,206,203,203,203,120,99,218,218,219,219,219,218,219,211,242,235,136,80,60,71,56,58,72,167,224,215,211,210,208,206,206,209,165,145,217,220,223,223,222,222,220,225,251,199,112,61,57,65,56,87,190,221,212,213,215,214,211,209,208,222,118,159,222,223,224,224,224,225,217,242,245,178,110,66,60,55,63,137,240,217,219,217,216,216,216,214,211,218,137,199,224,227,228,227,226,226,225,255,234,168,112,89,75,61,59,165,233,224,224,220,219,218,217,216,214,214,195,174,226,227,229,231,230,225,240,255,216,150,101,85,81,77,69,212,232,225,225,225,224,222,222,219,216,216,220,184,229,228,230,232,232,223,255,255,202,135,88,78,73,78,98,232,229,228,226,226,225,226,225,222,220,221,217,210,230,232,232,231,229,225,255,248,192,134,90,74,72,74,109,237,229,229,226,226,226,225,224,224,223,223,219,211,232,233,232,235,225,247,255,229,177,122,90,77,82,67,134,248,230,230,230,229,228,227,228,229,228,229,229,220,234,234,234,237,228,255,255,214,162,112,88,75,72,58,117,248,231,233,232,233,235,235,226,213,203,194,206,229,237,236,240,229,233,255,249,203,152,105,83,68,63,79,68,159,252,234,240,238,216,199,186,182,176,161,124,165,237,237,243,224,251,255,239,189,139,103,79,54,68,83,85,77,201,237,216,188,179,180,194,186,157,134,117,145,240,242,236,231,255,255,226,171,126,101,70,49,79,84,93,102,103,134,153,178,198,187,160,117,128,191,221,229,242,245,228,251,255,251,213,161,121,97,59,62,98,103,118,121,119,128,160,186,170,129,93,136,231,238,235,233,246,238,233,255,255,242,197,153,117,95,61,78,112,122,128,124,125,132,147,126,114,144,189,237,237,233,232,231,241,233,255,255,254,230,188,144,103,91,70,94,118,130,132,125,114,103,95,136,209,245,247,240,238,236,235,234,226,249,255,255,247,226,179,131,97,90,80,112,126,130,122,107,88,97,177,247,247,242,241,241,241,239,239,238,240,255,255,248,230,195,148,112,97,86,90,115,120,123,103,85,153,225,253,244,244,246,245,243,242,240,241,241,250,253,246,222,194,160,126,101,95,87,98,106,113,103,81,174,255,252,245,246,247,248,248,247,245,243,243,241,247,245,224,193,169,147,117,98,92,96,96,96,92,106,196,255,248,249,250,249,249,249,249,249,246,245,242,241,244,232,206,163,150,122,95,98,99,98,95,87,152,240,255,250,253,253,252,252,251,250,250,248,248,247,245,243
12,181,183,183,184,185,186,187,187,187,188,187,188,189,189,189,189,189,189,189,189,188,188,188,189,187,188,188,186,183,184,185,187,186,187,189,189,188,189,189,189,190,189,190,190,190,190,190,190,189,188,188,190,189,189,189,188,183,184,186,188,188,189,190,191,190,190,191,191,191,191,191,192,192,192,193,192,190,190,190,190,190,190,190,189,184,186,186,188,189,189,192,192,190,191,192,192,192,191,192,193,193,194,193,192,192,193,192,192,191,192,191,190,187,188,189,189,189,189,192,193,192,191,192,194,192,200,193,189,195,193,194,196,194,194,194,194,193,193,192,192,188,189,190,191,191,192,192,194,192,201,204,189,200,215,202,160,171,204,195,182,196,194,195,195,195,194,194,193,189,190,191,192,193,194,194,191,206,233,218,175,189,223,207,145,124,206,197,146,166,199,194,196,196,196,196,195,189,190,192,194,194,194,196,189,214,237,222,174,177,228,206,153,115,203,189,145,120,198,198,197,196,196,197,196,190,192,194,194,195,196,195,192,220,234,223,173,174,230,202,166,141,207,174,131,104,184,204,198,198,197,197,197,191,194,194,194,196,193,208,218,193,204,222,199,155,226,211,165,159,208,182,127,96,174,206,199,199,199,199,199,192,194,195,196,196,197,235,220,172,161,198,188,133,214,209,135,163,215,168,118,94,169,209,200,201,200,200,199,194,195,197,198,193,217,237,223,193,140,173,144,99,144,148,109,170,179,123,98,93,167,211,201,203,201,201,200,195,197,198,199,196,227,234,228,200,156,142,139,89,83,100,173,195,173,131,133,118,169,212,202,203,203,201,201,196,198,200,199,200,231,212,227,205,178,127,109,118,100,172,234,227,206,175,174,142,171,212,203,204,203,202,202,197,199,200,198,206,237,221,205,206,181,140,108,109,160,237,232,223,205,178,165,133,154,214,204,205,203,203,203,199,200,201,197,220,237,227,185,201,180,151,114,104,223,237,231,223,206,182,154,122,155,216,206,207,204,204,205,200,201,203,197,226,237,231,209,185,180,190,140,138,237,234,231,221,203,171,149,118,158,216,206,208,206,206,206,201,202,205,200,217,237,233,213,182,161,182,175,204,237,232,232,221,198,169,146,120,140,215,207,209,208,207,207,201,202,205,200,220,237,235,219,205,191,174,214,232,237,229,230,221,193,174,141,118,132,216,209,208,209,208,207,202,203,205,202,222,237,236,229,219,214,198,215,224,237,224,224,215,196,169,138,108,153,220,209,209,209,210,209,202,204,207,203,219,237,236,234,226,216,204,209,216,234,221,213,206,196,157,132,105,192,214,210,211,210,211,210,203,205,207,206,212,237,236,235,227,211,202,209,210,227,216,203,202,186,148,113,132,219,209,211,212,211,212,210,203,204,206,207,206,232,236,232,223,205,195,205,206,217,208,199,193,168,131,100,186,219,212,213,213,212,212,211,204,207,209,213,210,230,237,228,218,204,200,209,214,229,216,201,182,150,104,134,221,213,214,213,214,213,213,212,203,198,193,187,175,185,180,157,154,151,150,156,151,157,146,137,132,118,95,201,230,215,216,215,215,215,215,213,151,147,139,131,114,104,102,96,89,82,75,73,60,59,60,58,58,61,65,111,171,216,217,214,215,215,215,214,131,132,134,126,115,108,105,98,91,85,81,73,65,63,63,61,57,54,51,44,48,198,219,213,214,214,213,213,145,131,133,124,115,107,102,96,91,81,77,71,64,62,62,60,55,52,55,43,102,221,212,215,214,214,213,213
7,250,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,253,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,233,212,243,255,255,255,250,247,255,253,255,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,228,202,219,239,250,250,245,243,239,235,243,230,226,221,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,203,193,200,214,232,245,237,235,244,243,236,249,246,248,255,255,255,255,255,255,255,255,255,255,255,255,255,248,207,205,205,197,195,185,200,211,212,219,213,217,226,226,225,251,255,255,255,255,255,252,250,254,255,255,255,226,200,198,214,223,215,186,211,255,255,255,255,255,254,255,255,255,255,255,255,255,255,252,254,249,245,255,255,233,190,176,198,210,212,209,190,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,207,207,211,199,200,177,222,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,217,222,225,213,209,189,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,251,233,220,203,196,204,210,183,246,255,255,255,255,255,255,255,255,255,255,161,173,206,248,255,255,248,238,227,213,205,194,152,132,154,189,187,255,255,255,255,255,255,255,255,255,255,255,95,93,102,130,183,221,208,215,224,242,255,255,193,146,175,194,255,255,255,255,255,255,255,255,255,255,252,174,97,91,87,82,84,98,235,255,255,255,255,255,255,234,255,255,255,255,255,255,255,255,255,255,240,217,170,148,88,83,81,84,64,128,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,190,166,155,144,130,82,79,76,77,59,133,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,209,141,139,158,145,137,130,79,81,78,79,50,124,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,162,130,110,131,131,124,127,87,91,85,75,39,113,255,255,255,255,255,255,255,255,255,255,255,255,255,208,147,171,129,99,107,124,117,119,99,93,77,53,47,84,190,186,189,191,194,198,202,202,205,208,206,212,211,151,124,163,126,92,96,108,109,110,108,85,58,50,51,104,181,169,169,172,171,172,172,172,173,170,169,190,188,139,115,154,120,89,93,100,103,105,99,66,53,60,53,134,193,182,184,185,185,183,184,182,182,180,185,171,153,134,113,144,113,91,88,95,98,100
24,168,171,172,174,175,175,175,175,176,176,177,177,177,177,176,176,177,176,176,176,175,174,172,175,93,5,0,0,172,174,175,176,177,178,178,178,179,179,180,180,181,181,179,179,180,180,180,179,177,176,178,157,67,14,7,0,175,177,179,179,179,181,182,182,182,182,183,183,182,183,183,182,183,183,183,182,181,179,181,160,48,13,20,31,177,179,182,183,183,184,184,184,184,184,185,185,186,185,185,185,185,185,184,184,184,182,182,176,68,16,39,34,179,182,182,183,184,186,187,187,188,188,187,189,188,188,188,190,189,188,188,187,186,185,181,190,122,17,39,15,181,183,184,186,187,189,190,190,190,190,190,191,191,191,191,191,191,191,191,190,189,188,187,187,171,47,25,8,184,185,186,188,189,191,191,193,191,191,192,192,193,192,193,193,193,193,192,192,191,191,190,186,198,93,15,5,185,188,190,190,189,186,195,193,192,193,193,194,194,196,195,196,197,196,196,196,193,191,192,189,197,148,8,3,187,188,192,192,196,138,177,199,194,196,196,197,197,197,197,197,198,198,198,198,196,194,194,193,194,180,104,103,188,189,193,193,195,128,132,208,195,197,197,198,198,198,199,199,198,199,199,198,198,197,196,195,195,183,127,182,189,191,195,195,200,152,91,194,200,198,199,198,198,199,199,199,200,199,199,203,199,198,198,196,199,180,150,200,191,192,196,197,198,176,99,146,210,196,199,198,200,202,205,202,202,207,204,178,194,202,197,199,198,195,177,143,192,194,197,197,199,196,145,94,195,203,200,200,203,194,182,207,194,169,214,154,123,197,201,199,199,197,177,113,192,195,197,198,199,202,178,112,129,208,203,198,212,197,142,188,192,106,158,189,90,173,209,199,197,188,148,117,194,198,198,199,199,202,193,166,122,157,209,196,225,221,182,142,183,128,136,200,104,174,211,197,208,182,114,85,193,196,198,197,199,201,200,181,147,135,183,204,200,227,212,129,155,163,127,190,126,172,212,199,214,136,91,157,192,195,197,197,198,200,200,196,173,183,168,181,175,196,223,152,115,168,126,197,127,147,183,199,190,87,159,213,192,196,198,199,199,199,202,199,213,199,175,153,142,140,204,176,95,132,142,195,148,86,155,192,134,113,206,194,193,195,198,199,199,200,203,202,213,214,159,139,115,100,156,187,92,120,159,170,180,96,172,158,105,183,203,197,192,195,197,198,198,200,203,204,204,219,216,166,114,121,130,173,120,114,186,117,143,166,168,114,116,208,199,199,200,203,205,205,206,206,207,209,207,218,226,216,166,112,126,158,150,96,187,123,191,185,153,92,160,209,199,199,149,154,157,162,166,171,176,181,181,197,235,225,222,152,114,158,190,155,183,202,205,151,128,115,213,212,206,202,81,81,82,84,84,85,87,88,85,106,230,217,223,192,138,125,192,237,237,228,179,140,112,101,136,136,159,179,90,91,92,91,90,90,91,91,92,80,181,219,223,215,164,134,145,221,227,198,160,128,95,106,135,170,196,210,90,89,89,89,91,92,91,92,94,87,111,220,230,217,176,142,134,193,212,175,153,101,108,215,217,208,210,221,89,88,88,88,90,91,91,93,93,96,80,182,215,183,151,129,134,164,182,156,123,87,149,182,189,207,199,206,88,90,89,88,89,89,90,92,92,95,80,151,213,162,156,145,141,155,165,141,94,104,199,163,153,179,190,191,86,87,88,90,90,90,90,92,92,93,83,133,215,187,184,166,153,156,163,130,78,119,195,180,122,143,174,188
5,146,150,154,157,162,165,167,170,171,173,174,175,175,176,175,175,175,175,175,173,174,173,171,170,169,169,168,167,147,153,157,160,164,167,169,172,173,174,176,177,177,177,177,177,176,176,176,177,175,176,174,173,172,170,170,169,149,155,160,163,167,168,171,174,175,177,178,179,181,180,180,180,177,188,124,159,182,176,177,175,175,174,171,169,151,158,162,165,168,170,173,176,178,177,188,167,130,187,182,179,192,178,96,155,186,179,178,177,177,176,173,171,154,160,164,167,170,172,174,178,181,177,198,157,100,187,185,184,202,127,113,188,182,182,181,180,178,177,176,175,156,161,165,169,173,173,180,182,183,178,213,128,122,196,183,199,170,89,159,192,183,184,183,183,182,180,178,178,157,162,167,171,173,185,150,173,186,190,213,95,153,198,191,197,127,114,194,188,186,186,186,185,184,182,181,181,160,164,169,174,173,198,132,136,191,205,196,90,177,196,194,162,99,169,198,190,190,189,189,188,187,185,185,185,161,166,170,175,176,195,162,110,194,209,154,102,191,189,183,107,124,201,193,193,192,191,191,191,189,189,187,187,162,167,172,176,177,189,186,101,187,196,108,120,200,176,169,94,164,204,195,195,195,194,194,192,192,192,191,190,164,169,174,179,182,184,207,129,156,196,118,123,189,166,151,103,184,202,197,200,200,197,195,194,193,192,193,193,166,171,176,180,184,184,207,167,119,189,130,112,145,153,121,117,204,201,197,181,186,198,202,196,194,194,194,194,167,172,178,180,185,187,200,201,143,130,131,112,122,143,103,134,208,189,189,193,183,174,174,201,197,197,196,195,169,174,180,184,188,191,191,202,187,135,121,127,121,127,102,127,170,184,173,174,186,188,145,173,205,198,198,197,170,176,181,185,188,192,194,194,211,189,140,123,108,108,99,123,136,144,126,112,151,165,172,130,175,204,199,199,170,175,179,185,189,193,198,195,225,225,161,120,105,99,96,116,123,101,131,185,209,199,176,171,134,200,201,200,172,177,183,187,191,193,198,196,212,241,177,119,101,99,98,109,106,130,211,211,207,199,188,144,161,210,201,203,173,178,184,188,192,193,199,199,203,242,176,124,103,98,94,110,91,159,224,205,208,182,162,111,187,210,204,206,173,179,185,189,193,196,200,199,200,227,169,127,106,94,92,112,113,125,180,215,200,177,139,105,189,211,205,206,176,181,185,191,194,196,200,200,198,231,172,129,112,96,95,109,120,136,137,143,177,177,122,129,208,209,208,207,175,181,185,191,193,196,201,201,201,229,171,141,122,99,92,112,127,144,155,127,161,161,119,175,215,209,209,208,176,182,187,191,195,199,202,200,203,220,173,149,124,102,91,120,143,151,157,133,131,142,136,211,210,210,210,209,177,183,188,193,196,199,204,201,201,219,177,151,123,105,93,123,146,149,145,126,116,118,177,219,210,211,209,209,177,184,190,193,198,199,204,202,204,212,173,146,125,110,101,118,136,136,133,118,123,178,216,214,213,213,211,211,179,184,190,194,198,201,204,201,217,215,166,143,131,112,109,119,132,132,123,122,196,221,214,214,214,214,213,213,180,186,191,195,199,200,205,198,225,225,181,150,126,114,109,117,123,117,118,178,221,213,215,214,214,214,214,213,179,186,191,195,199,200,207,200,222,214,177,135,111,114,116,117,119,132,192,220,216,217,216,216,215,215,214,213,181,186,191,194,199,201,206,206,222,210,181,135,110,115,115,113,133,207,226,216,217,217,217,216,215,215,215,214
19,130,134,137,142,146,149,152,154,157,159,161,163,164,165,165,165,167,166,165,165,165,163,163,163,162,161,161,161,132,136,139,143,147,151,153,156,159,160,162,164,165,165,166,168,168,166,165,165,166,166,165,165,163,163,162,162,132,136,142,146,149,153,155,157,159,161,164,165,165,166,168,168,169,168,168,167,167,167,166,166,166,166,165,163,132,137,143,147,151,154,156,158,160,162,164,166,167,169,169,168,169,169,170,169,169,168,167,167,166,166,167,165,135,138,143,147,152,154,157,159,161,164,165,167,169,168,171,173,169,170,172,171,170,169,169,168,168,167,167,166,135,139,143,148,153,156,159,161,162,165,166,166,175,165,117,154,175,171,173,172,171,171,170,170,169,168,167,166,136,140,145,150,155,158,160,161,164,166,168,165,186,172,96,96,179,172,174,173,171,172,172,171,169,169,168,167,137,141,146,151,156,158,161,164,166,166,170,167,193,180,112,71,165,177,174,173,172,174,174,172,171,170,169,169,138,142,148,153,157,160,161,162,168,171,172,167,187,166,113,62,146,182,174,175,174,176,173,170,169,172,171,169,139,142,148,153,157,159,166,169,135,121,141,151,140,131,117,102,115,135,142,134,131,142,121,152,173,156,173,171,139,143,149,153,159,158,178,163,121,118,123,132,139,134,130,120,112,124,146,130,126,134,122,175,182,119,174,173,140,145,151,156,157,169,179,166,135,90,87,90,118,121,123,108,104,108,116,115,112,110,110,127,125,135,179,171,141,146,151,156,159,181,190,175,129,73,63,73,74,75,79,71,70,84,96,100,100,107,115,129,155,177,174,174,141,147,152,154,177,188,191,157,116,85,69,80,83,77,45,84,158,173,176,175,179,184,183,183,182,175,174,174,142,149,150,170,193,191,194,172,126,81,67,66,89,89,66,60,153,191,180,182,182,180,180,178,178,178,176,175,144,147,156,190,191,192,202,182,126,75,63,57,72,94,84,62,51,175,185,182,183,184,181,180,180,179,179,178,145,145,179,194,192,199,199,179,127,78,63,72,68,63,64,78,48,152,193,182,184,185,183,182,181,180,180,178,140,161,196,192,194,197,193,178,137,85,61,58,82,76,54,42,66,183,187,185,185,185,185,184,182,181,180,179,146,187,193,193,194,192,194,188,154,87,64,52,68,81,73,34,125,199,183,186,186,186,185,184,183,182,180,180,181,197,191,193,189,189,195,180,135,91,73,66,61,57,73,49,164,193,185,186,186,187,186,185,184,182,182,181,199,187,193,187,177,176,174,154,115,101,94,81,74,58,42,72,187,189,187,187,187,187,186,186,185,184,182,181,189,186,184,177,175,170,160,146,126,105,92,89,81,69,38,145,200,187,188,189,188,188,188,187,186,185,184,182,182,178,180,174,173,171,161,144,147,125,86,78,84,76,48,163,198,188,188,189,189,189,188,187,186,186,186,185,177,179,179,167,168,167,153,134,136,111,57,54,82,60,97,199,188,191,190,189,189,189,189,187,186,186,186,184,177,182,167,158,156,151,133,110,94,72,36,49,71,65,171,193,188,189,188,188,188,188,188,188,187,185,185,184,178,177,158,135,133,132,106,78,71,59,54,69,97,162,193,186,188,188,188,188,188,188,188,187,187,186,185,185,166,162,150,122,99,99,85,67,61,153,167,172,190,192,187,189,189,190,190,190,189,188,188,187,187,187,185,185,142,151,146,108,66,47,47,28,113,196,187,189,187,188,189,190,191,192,191,191,190,189,189,188,188,187,186,185
4,157,157,157,156,155,155,154,153,154,153,152,152,152,151,150,149,148,147,146,145,143,143,142,140,139,139,139,137,158,158,158,157,156,156,156,156,155,154,153,153,153,151,150,150,148,148,147,146,146,143,143,142,140,140,139,138,158,158,158,158,158,157,156,156,157,156,155,154,153,152,151,150,149,147,147,147,147,145,144,143,142,140,139,139,160,159,159,158,159,159,158,159,158,157,156,156,155,156,155,151,152,153,148,147,146,146,146,144,142,142,141,140,162,162,162,161,160,159,159,158,157,157,157,149,142,144,143,149,133,130,150,150,148,149,145,144,143,143,142,141,162,162,162,161,160,160,160,159,158,159,157,148,142,138,121,102,107,102,107,144,141,143,150,144,144,143,142,140,163,163,162,162,162,162,161,161,159,149,150,137,109,86,126,89,61,109,98,81,84,80,119,151,144,143,142,140,164,163,162,163,163,163,162,161,157,155,149,140,114,62,96,96,51,91,96,60,64,75,69,148,145,144,143,142,163,164,164,163,164,163,163,163,161,129,99,119,137,81,88,109,102,94,81,54,86,95,61,124,152,144,144,143,164,164,165,164,164,164,164,161,163,136,80,49,142,117,90,111,131,116,86,88,86,103,76,114,154,144,144,144,165,166,165,164,165,165,164,164,155,116,76,32,76,100,64,81,92,113,96,96,88,96,76,92,155,144,145,145,166,167,166,166,166,166,165,165,149,120,101,82,55,62,63,56,47,85,108,95,87,86,85,70,147,148,146,144,167,167,167,166,165,167,166,164,154,140,116,86,59,62,74,67,70,66,75,82,86,107,105,61,126,153,145,144,167,168,167,166,167,167,166,164,157,132,99,77,58,62,69,77,92,81,61,74,132,126,110,71,100,156,144,145,168,169,168,168,168,168,165,166,156,127,98,69,57,62,73,88,91,83,90,103,113,127,124,91,79,154,145,145,169,169,169,169,169,169,166,165,160,139,111,78,62,69,80,93,92,97,124,138,123,126,129,97,64,145,149,146,170,170,170,171,171,170,168,164,156,140,118,86,64,68,83,102,109,116,130,135,131,120,105,88,54,139,150,146,170,170,170,171,171,170,169,163,155,148,127,99,72,66,85,104,121,133,141,138,123,112,93,66,62,150,148,147,170,170,170,170,170,170,169,162,151,152,134,109,86,68,75,115,132,145,144,135,116,102,85,46,101,157,147,147,171,171,171,170,170,171,170,161,149,148,136,114,92,75,77,127,140,144,140,127,107,93,70,54,147,151,149,148,171,171,171,170,170,170,171,158,145,144,142,122,96,87,85,131,140,139,133,117,98,85,50,101,160,149,150,148,172,171,171,171,171,170,172,158,143,146,144,126,105,94,94,132,138,135,122,103,90,70,54,148,154,151,150,149,173,171,170,172,172,171,172,162,148,151,147,129,111,92,93,131,131,127,111,90,80,46,103,163,151,152,151,150,172,171,170,172,172,173,173,166,151,155,144,130,117,96,88,123,123,113,97,82,57,60,156,156,153,153,152,151,173,172,172,174,173,172,173,166,159,155,142,132,120,103,90,107,111,98,85,69,41,132,162,154,153,153,152,151,173,173,173,174,173,172,174,166,159,152,141,130,118,110,97,96,101,88,75,40,97,166,155,155,154,153,152,151,173,173,174,174,174,173,171,162,158,152,143,136,128,118,106,90,91,78,55,64,161,158,158,156,155,153,152,151,173,174,174,174,174,175,163,155,159,153,141,138,127,114,108,90,82,69,44,124,167,156,158,156,155,154,152,152
12,168,173,176,181,183,186,189,191,194,196,196,196,197,198,197,197,196,198,199,196,196,195,195,195,194,193,192,190,169,174,177,181,183,188,191,193,195,196,197,199,198,191,189,201,199,172,173,200,198,197,197,196,196,195,194,193,171,174,178,182,185,189,192,195,195,198,200,198,211,195,161,172,210,190,141,160,183,159,179,200,198,197,196,195,172,176,180,184,187,190,193,195,197,200,200,202,232,228,199,150,156,220,185,120,129,157,125,188,200,199,198,196,174,178,181,185,188,193,195,197,198,200,199,221,215,222,214,161,106,180,188,125,84,141,125,127,203,200,199,198,177,179,182,186,190,194,196,199,201,201,200,230,183,205,212,150,99,165,173,121,83,120,126,90,195,202,200,199,178,181,185,189,193,196,198,202,202,205,205,161,137,202,192,136,89,172,165,111,89,127,115,94,200,201,201,200,180,184,187,191,194,198,201,201,212,231,209,137,98,146,181,155,79,160,196,130,93,153,123,113,207,202,201,201,182,186,189,193,196,199,200,217,231,223,213,155,97,102,187,148,68,161,205,124,100,189,126,148,210,204,203,202,184,187,192,195,200,201,215,231,192,193,220,163,96,59,144,128,46,99,187,115,90,168,125,192,209,206,205,204,186,190,195,198,202,203,229,223,192,168,203,153,99,54,69,73,69,103,116,129,137,142,97,176,213,207,206,206,188,193,196,200,203,211,219,191,161,127,184,152,103,58,65,76,162,207,175,167,147,133,114,124,214,209,207,206,189,195,199,203,205,208,227,199,168,117,158,151,103,63,80,129,191,206,193,167,137,108,121,102,202,212,208,208,192,197,201,204,206,211,229,203,173,132,132,154,127,73,111,178,204,200,192,168,134,106,102,101,208,213,210,209,195,199,203,207,209,221,233,212,186,153,115,145,143,90,178,210,209,202,196,153,128,102,77,143,220,213,210,209,199,203,206,210,211,229,235,219,195,163,133,122,123,152,213,217,216,213,184,135,119,94,83,203,217,216,217,215,201,205,208,211,212,231,232,223,202,171,157,140,137,185,203,211,220,206,163,126,112,77,134,229,218,199,167,134,204,208,210,213,214,226,228,227,208,181,172,155,145,182,189,213,218,191,146,118,103,75,170,157,112,76,58,55,207,211,213,215,218,218,231,228,211,191,184,166,151,189,184,215,209,169,131,108,93,68,68,52,47,46,47,44,210,214,216,219,222,216,228,223,209,196,190,172,156,187,199,196,185,148,117,100,81,49,45,42,44,42,47,39,213,216,219,222,225,219,223,223,210,196,186,174,165,177,196,176,157,131,108,95,57,32,48,46,35,36,49,44,213,217,220,223,226,218,218,227,211,194,182,169,157,162,182,165,141,121,101,84,46,23,38,53,38,28,40,49,214,217,220,223,228,217,220,224,202,186,179,166,151,160,172,155,123,111,93,63,56,25,24,45,49,30,30,44,216,220,223,227,230,219,223,219,186,174,174,160,148,162,160,141,108,97,53,40,57,41,13,30,47,42,25,32,218,222,225,228,231,217,224,226,186,182,183,169,158,164,147,127,102,76,34,25,46,53,16,16,36,47,34,23,220,224,227,230,235,196,219,228,195,201,197,174,157,159,137,120,94,55,42,20,34,51,29,8,23,43,44,26,223,226,230,232,241,142,198,231,214,223,202,168,158,157,131,114,83,46,40,24,19,42,39,9,13,35,45,35,194,199,205,210,216,107,127,224,215,218,188,156,162,156,127,110,70,51,35,28,12,36,42,14,7,27,42,42
15,79,91,103,107,109,115,125,133,139,145,150,155,159,161,165,168,171,176,178,182,185,187,189,190,193,193,195,196,82,92,103,108,110,115,125,134,139,146,151,155,159,162,166,169,173,176,179,183,187,188,190,192,195,195,197,198,83,94,104,109,113,119,127,134,141,148,153,155,159,163,167,172,176,179,183,186,188,189,193,194,195,196,198,200,85,96,107,111,114,122,129,136,143,147,152,157,161,165,169,173,177,180,185,186,187,190,193,196,197,197,199,200,84,96,105,109,114,120,128,138,143,148,154,157,161,166,170,173,178,179,183,186,190,192,194,196,196,197,200,200,97,104,116,118,120,131,137,142,138,144,148,152,160,166,170,173,177,184,188,187,190,195,196,199,199,200,200,202,137,122,129,131,133,146,156,158,164,161,151,147,149,150,163,163,156,157,169,190,195,194,198,200,201,201,202,203,115,91,99,109,127,145,149,160,181,173,161,163,168,177,171,173,174,145,126,116,173,202,196,201,201,203,203,204,76,74,83,87,96,111,120,139,173,182,181,181,181,186,190,172,168,190,133,95,81,161,207,199,201,203,203,204,92,106,111,109,112,116,123,125,135,153,171,196,201,164,168,177,130,199,132,97,115,89,161,208,197,203,203,204,90,102,110,113,120,129,132,145,135,113,121,127,160,157,134,146,119,205,137,83,134,142,70,169,205,200,203,204,93,105,112,113,119,125,132,169,124,100,88,102,141,152,109,102,110,157,132,108,133,145,83,72,199,202,201,202,92,105,111,112,120,122,150,186,101,85,98,123,159,149,114,100,111,98,99,116,136,120,72,41,107,215,198,202,93,105,110,113,119,126,143,200,118,85,123,138,155,139,109,102,105,104,103,121,139,135,75,47,38,133,211,205,94,106,112,112,120,124,164,205,199,151,124,106,112,104,82,83,86,99,117,130,136,130,86,51,49,42,117,201,93,105,111,113,119,122,178,207,190,202,168,100,38,32,33,26,33,59,97,120,114,105,77,62,62,54,39,81,93,105,110,113,120,125,154,204,194,171,180,191,92,0,10,1,7,16,53,107,115,108,96,93,78,64,57,48,79,86,93,97,104,107,113,179,197,168,160,199,103,19,11,4,17,9,49,122,135,133,125,116,96,71,61,60,54,58,60,59,63,59,72,201,186,165,150,147,59,28,15,8,22,19,35,99,125,130,128,117,98,74,59,66,64,65,66,66,70,70,72,168,204,173,128,118,93,34,17,19,24,34,46,64,93,106,113,108,94,74,63,65,66,64,66,69,69,73,69,83,140,162,142,125,115,58,26,27,22,33,52,56,71,97,104,96,81,74,70,66,66,67,68,69,69,72,73,70,72,79,81,82,71,62,38,32,21,27,50,62,51,79,94,90,80,75,72,72,66,66,69,69,70,69,71,72,73,75,74,73,72,79,75,57,56,48,61,77,66,66,83,79,74,66,67,71,65,65,66,69,71,71,73,74,74,77,79,79,81,91,97,116,111,90,109,120,126,115,107,98,72,60,77,82,65,65,66,67,69,72,72,73,73,76,77,78,78,77,76,108,98,126,161,163,154,146,127,111,85,82,105,102,64,65,65,67,70,72,71,72,73,77,77,77,78,79,77,76,76,96,125,139,147,121,99,86,94,104,108,127,64,66,67,67,69,69,72,72,73,74,75,76,76,75,77,79,80,81,73,91,104,86,103,114,104,93,110,143,64,65,67,68,68,68,71,72,72,72,73,74,74,76,77,78,79,80,80,80,77,97,123,126,93,101,122,145
17,181,185,186,188,191,192,192,194,196,198,198,200,201,202,202,205,205,204,207,207,206,208,207,207,208,208,208,207,181,184,187,189,192,193,194,196,198,199,198,201,202,204,206,206,206,211,210,212,208,209,207,208,210,209,208,207,181,184,188,192,192,194,195,197,197,201,201,201,203,204,206,209,195,175,187,166,210,211,210,210,211,211,209,208,182,185,187,192,194,195,196,198,199,201,200,202,203,207,206,212,213,148,123,119,201,214,211,212,211,212,211,209,183,187,190,192,194,196,198,201,203,203,203,204,206,208,208,211,230,173,109,110,210,213,213,213,211,212,212,210,184,187,191,193,194,196,199,202,202,204,205,207,212,209,210,210,231,193,121,121,222,212,213,213,212,213,213,211,185,189,191,193,196,199,200,201,202,204,209,199,189,219,212,209,234,202,134,155,225,213,215,214,213,214,214,213,188,190,192,194,198,199,200,204,206,205,210,205,153,172,219,218,234,195,139,177,223,215,217,216,215,215,214,214,189,191,193,195,198,199,202,202,202,197,215,213,182,155,178,212,231,193,136,175,225,215,217,217,216,215,214,213,189,192,193,196,199,200,198,218,207,152,171,221,223,217,164,123,189,191,140,175,227,217,219,217,216,217,216,215,190,193,194,198,201,201,205,221,212,158,178,193,214,229,203,127,130,166,132,172,228,217,218,217,218,219,217,217,192,194,196,198,202,200,215,207,188,188,149,136,127,239,228,163,110,136,119,168,230,219,219,218,219,218,218,217,191,193,196,198,202,200,219,205,141,148,136,104,96,222,245,188,117,115,107,164,231,219,221,220,219,219,219,218,191,194,197,199,203,202,224,203,170,168,147,140,140,201,255,201,136,110,109,155,230,219,221,221,220,219,220,220,192,196,199,200,203,206,232,203,180,170,151,168,176,208,246,205,155,110,105,152,231,219,222,223,221,221,221,220,192,195,199,204,201,216,224,178,165,162,166,175,220,252,213,199,161,108,95,151,232,220,223,223,222,222,220,217,192,195,200,205,199,225,225,184,169,162,172,194,255,247,207,181,152,106,88,153,232,222,224,222,223,223,221,219,192,197,199,203,200,234,227,194,174,162,174,231,253,231,203,174,142,107,89,178,234,221,224,222,223,222,223,221,193,197,200,203,200,239,226,201,187,163,196,253,242,228,193,160,137,103,103,212,227,223,224,224,223,222,222,221,193,197,202,204,202,248,227,208,204,175,206,250,230,223,197,150,129,93,141,234,221,225,225,226,224,223,222,221,194,198,202,206,203,250,234,215,215,191,203,243,223,213,190,146,119,95,195,232,223,224,226,226,224,223,223,224,195,200,203,205,200,243,244,221,211,201,198,229,218,215,184,140,108,117,228,224,223,224,225,225,224,224,223,224,195,200,203,207,203,232,246,218,204,198,203,215,206,220,193,137,103,136,235,224,226,226,226,226,226,226,225,223,197,200,203,207,203,230,238,215,203,192,201,212,202,220,185,138,103,170,237,224,227,227,227,227,226,226,225,224,196,199,203,207,204,235,242,224,206,201,205,214,200,214,167,129,112,213,230,226,227,226,227,227,227,227,225,224,193,198,203,208,206,243,251,222,203,211,214,205,187,199,153,109,152,236,224,227,227,227,227,227,227,227,226,225,196,199,204,206,206,252,243,206,205,214,216,191,173,181,135,106,208,231,226,228,228,228,227,227,228,228,226,225,197,200,204,205,210,254,236,200,206,215,210,183,170,163,118,131,232,224,228,228,228,228,228,227,229,227,226,226
20,166,170,175,180,184,187,189,193,194,196,198,199,200,201,203,203,205,200,205,202,202,201,201,200,200,200,199,197,168,173,178,183,186,189,191,195,197,199,200,201,203,204,205,204,240,170,183,203,204,205,203,203,203,202,201,200,171,175,180,185,189,192,194,198,200,201,202,204,207,209,207,206,255,159,181,188,172,214,206,207,207,205,203,202,173,178,181,187,192,193,196,200,201,203,205,207,208,209,208,211,252,165,207,206,142,216,209,210,209,208,208,205,174,179,183,188,194,195,199,202,204,205,208,210,211,212,209,214,255,185,204,227,139,211,213,212,211,210,209,208,176,182,186,190,195,197,200,204,207,208,210,212,213,216,211,221,255,185,209,247,149,205,218,216,215,214,212,211,179,184,188,192,196,200,204,207,209,211,212,212,213,213,212,233,254,178,225,242,149,201,222,218,217,216,214,212,181,187,190,195,199,202,205,209,211,212,216,218,217,233,216,233,255,176,233,237,142,201,224,219,219,218,216,215,183,189,193,198,201,204,208,210,213,215,217,210,241,255,247,171,200,176,233,233,145,208,225,222,221,220,219,217,184,191,196,200,203,207,210,211,215,217,223,249,242,222,233,177,122,132,206,210,147,214,228,225,222,222,221,219,187,192,197,201,206,209,213,215,218,213,249,255,255,187,206,213,201,162,147,173,142,219,229,226,224,224,223,222,189,194,198,203,207,212,215,216,220,218,255,209,201,239,160,216,248,201,123,129,134,225,228,228,226,225,225,224,191,196,200,205,209,213,216,218,221,218,255,195,119,137,100,137,237,218,149,113,123,224,230,230,229,227,227,227,192,198,202,207,211,215,218,221,223,224,254,204,184,142,117,106,197,255,191,118,116,226,234,232,231,229,228,228,194,199,203,208,213,216,219,223,225,228,255,247,189,148,138,141,167,255,228,144,105,222,237,234,233,231,231,231,196,200,204,209,214,217,221,225,225,230,255,229,167,144,150,167,198,255,250,173,109,213,241,235,235,232,232,232,198,202,206,212,216,219,223,226,225,231,255,234,184,167,171,181,243,255,247,191,119,211,241,234,236,235,234,234,200,204,207,213,218,221,225,227,229,232,255,250,203,177,189,211,255,255,233,188,122,209,247,240,238,237,236,235,201,205,210,215,219,223,225,230,232,235,255,255,220,183,204,237,255,255,228,180,126,210,250,241,239,238,238,238,200,205,210,214,217,222,225,229,232,231,255,255,225,202,206,255,255,255,222,174,120,206,251,239,240,239,240,239,201,206,211,216,217,222,226,230,232,230,255,255,231,228,212,255,255,240,213,167,112,202,252,241,240,237,238,237,202,208,212,216,219,225,228,231,233,231,255,255,245,245,228,246,255,227,203,164,103,203,253,242,242,240,238,237,202,208,211,216,221,225,228,231,234,234,247,255,255,250,235,218,240,203,194,151,100,212,252,243,243,243,241,240,202,208,213,218,222,225,228,232,234,236,241,255,255,244,212,193,210,187,193,146,107,237,249,244,245,241,247,245,204,210,215,220,223,225,228,232,239,250,241,255,255,221,179,167,196,187,184,120,141,255,245,247,246,253,233,157,199,206,213,219,224,229,233,243,221,116,89,255,240,198,167,159,208,181,165,93,193,255,253,254,255,231,137,105,151,152,155,158,161,167,167,176,163,82,17,207,255,209,166,175,227,155,128,70,60,181,215,212,208,130,93,95,112,109,113,117,118,116,114,117,134,142,94,128,222,196,171,194,216,124,99,42,26,87,118,125,136,109,81,69
4,123,126,128,129,134,135,137,142,144,146,151,150,150,153,154,153,156,157,154,156,156,158,158,157,155,155,155,155,127,129,132,134,137,139,141,144,145,147,152,152,154,153,154,164,150,149,160,158,158,158,159,158,159,158,157,157,130,134,136,138,141,142,144,147,148,150,150,160,146,168,211,199,127,74,148,163,162,164,161,162,161,161,160,159,133,136,139,142,144,146,147,153,157,160,189,188,121,93,156,177,113,56,62,100,98,148,168,163,164,164,162,160,136,139,142,145,148,149,157,153,123,190,213,192,132,65,38,148,108,53,30,84,61,69,174,164,167,166,165,163,140,142,145,149,150,151,206,188,120,127,130,193,137,84,20,90,135,85,32,104,103,57,166,168,168,167,166,167,142,145,148,153,147,186,194,185,181,148,78,139,167,108,0,93,173,118,75,93,118,86,154,176,170,171,169,170,146,150,152,152,158,208,173,124,130,103,41,64,172,99,5,140,167,110,67,57,77,72,106,184,171,173,172,172,148,153,157,157,161,214,198,154,131,123,111,54,106,72,36,98,125,91,72,74,68,63,78,154,183,173,173,173,151,155,158,161,158,198,196,177,148,122,111,77,66,89,81,93,122,101,101,80,47,89,93,90,186,176,177,175,153,158,160,165,162,192,196,167,135,103,82,70,77,100,103,122,135,123,113,83,87,132,126,75,137,189,178,179,155,160,162,168,164,200,201,168,141,102,78,69,81,93,112,132,151,155,176,194,178,158,137,113,78,176,182,181,158,162,165,171,166,201,211,177,146,108,80,76,83,98,124,164,155,187,199,188,176,154,119,91,50,130,195,181,159,166,168,171,168,197,215,182,158,126,87,76,79,100,145,165,157,186,182,173,157,135,107,80,54,79,193,185,160,167,169,175,173,197,218,189,169,137,102,82,84,102,154,169,179,188,190,173,148,128,105,76,59,64,186,190,163,170,172,177,175,199,222,196,177,146,115,96,97,99,145,177,191,192,187,175,146,120,93,72,49,86,200,190,166,172,174,178,177,195,221,203,187,154,123,117,111,103,141,180,192,191,188,174,139,107,80,68,43,147,205,192,168,172,176,181,180,191,215,210,199,165,138,130,124,112,150,175,190,193,189,167,131,97,77,59,59,194,198,197,170,174,178,181,181,187,209,213,205,177,151,140,131,118,157,175,180,193,180,151,119,92,77,43,107,211,195,198,173,178,181,183,188,183,201,213,206,182,162,149,136,125,149,182,180,179,161,132,107,86,74,43,168,208,199,200,177,182,182,185,190,189,188,207,199,183,164,152,141,124,122,170,175,158,139,113,95,84,61,72,209,200,203,202,179,182,185,188,191,194,181,202,203,188,163,153,145,124,105,154,173,155,129,102,81,85,44,143,214,200,203,203,182,184,188,191,193,200,182,202,211,191,165,152,148,129,107,142,163,145,118,89,77,49,94,211,203,206,204,204,185,187,189,193,196,201,185,206,209,182,155,148,148,124,104,134,148,130,95,80,48,86,203,208,205,205,203,207,185,189,193,196,197,201,192,209,204,172,150,154,151,132,108,122,128,113,80,59,64,199,212,205,208,215,219,206,186,191,194,195,198,204,185,206,212,175,164,168,158,145,113,108,108,102,76,40,152,218,203,215,216,183,122,72,190,193,196,198,200,207,188,206,219,181,177,188,161,149,112,94,95,99,60,59,201,206,219,176,87,36,19,17,192,194,196,199,201,211,148,201,224,200,200,198,163,148,111,91,95,101,46,95,218,214,153,48,29,8,11,5
15,107,120,130,140,147,148,153,160,166,171,176,182,186,190,194,198,201,204,207,208,210,211,212,215,215,216,218,217,109,122,132,141,149,151,154,162,169,174,178,184,187,191,196,200,204,208,209,209,211,214,214,216,217,218,220,220,111,123,134,145,153,155,157,164,172,176,180,185,190,193,198,202,206,209,209,211,213,215,216,216,217,218,220,222,112,126,135,146,151,154,157,167,173,177,183,189,192,197,201,204,207,211,212,214,215,218,219,218,220,222,221,223,114,127,139,147,153,153,159,169,175,180,186,190,193,198,201,205,210,213,215,216,218,220,221,221,223,225,225,225,115,129,141,150,155,157,162,170,178,184,188,191,195,200,204,208,210,214,216,217,219,221,223,225,226,226,227,228,117,130,142,150,152,159,164,172,179,185,189,194,198,203,206,208,212,216,217,219,222,224,226,228,228,227,228,230,117,131,142,156,224,197,178,176,179,187,191,197,201,208,208,212,217,218,220,223,224,225,228,229,230,230,230,231,119,135,139,172,255,208,193,191,184,196,195,194,192,197,208,216,218,221,223,224,225,227,228,230,231,233,233,234,121,135,145,156,193,192,182,175,175,202,200,195,186,169,185,198,205,214,222,224,230,234,233,232,235,235,236,236,123,135,148,157,161,165,163,154,162,181,184,186,184,187,195,185,189,195,209,210,199,211,232,239,233,237,237,237,126,139,150,159,165,169,173,181,183,184,180,170,168,182,188,180,175,171,198,211,198,181,169,215,247,237,239,241,127,141,152,159,166,169,175,184,191,197,201,198,194,190,181,167,156,169,196,208,219,180,170,153,204,249,241,243,127,141,153,161,168,171,177,185,191,198,203,208,213,216,215,204,194,210,207,200,209,199,182,190,151,194,252,241,130,143,156,163,171,174,178,185,192,199,204,210,213,220,218,232,255,237,199,150,206,206,178,206,183,139,200,255,131,144,156,165,171,173,178,187,194,200,207,211,237,205,178,198,234,227,177,110,197,206,184,205,202,173,128,203,132,147,158,167,173,173,180,189,196,203,206,219,245,201,162,205,255,241,175,149,177,190,199,200,191,172,142,122,135,148,158,169,174,176,182,190,197,205,210,219,218,174,166,216,255,232,168,161,162,160,180,186,160,161,150,133,135,149,161,171,175,178,183,191,198,206,211,213,225,224,180,207,239,205,174,173,176,172,179,182,147,139,150,145,135,149,162,171,173,177,184,192,200,207,212,213,230,255,236,142,122,125,144,180,189,185,193,188,158,148,150,147,136,151,163,171,175,178,186,195,201,207,215,218,222,255,252,165,69,36,26,53,125,185,187,183,167,168,154,137,137,151,165,173,176,178,187,195,202,209,216,219,221,255,250,158,93,82,51,16,21,138,171,161,149,129,106,85,138,152,165,173,176,178,188,197,203,210,217,222,219,255,250,129,137,140,121,79,47,59,108,93,76,57,52,42,139,153,166,174,176,178,188,198,205,212,217,224,219,255,255,143,181,177,162,155,117,68,59,55,54,48,49,47,138,153,166,174,177,181,188,197,206,211,216,224,221,254,255,155,171,191,171,141,91,63,61,59,60,51,51,47,138,154,166,174,175,179,187,197,205,210,216,221,223,234,255,163,166,254,220,124,74,55,60,60,58,51,51,48,140,154,167,174,176,180,189,200,206,212,217,223,225,236,255,134,189,255,233,114,64,56,59,58,56,51,53,52,141,156,167,175,177,183,191,199,206,213,218,224,225,239,204,166,245,247,248,119,76,66,64,55,52,53,54,54
16,192,193,192,193,194,194,195,195,195,196,195,195,195,196,196,196,196,196,196,197,197,195,196,197,197,195,196,196,193,194,195,195,195,196,195,196,197,197,195,196,196,196,196,197,197,197,197,199,199,197,198,199,198,198,198,197,194,195,195,196,197,196,196,197,198,199,197,198,198,197,198,197,198,199,199,201,200,199,199,200,199,200,200,198,195,195,196,196,197,197,197,199,199,198,200,199,200,200,199,201,203,204,201,199,199,199,201,200,201,201,200,200,195,196,197,198,199,198,198,199,199,199,201,202,201,200,198,182,181,180,198,208,200,201,200,201,201,201,200,199,195,196,196,198,199,199,199,199,200,200,197,190,187,203,214,166,146,136,123,168,209,207,200,202,201,202,201,200,195,196,197,198,200,201,201,201,201,201,194,170,181,219,214,185,165,151,116,81,120,187,210,201,202,203,202,201,195,196,198,200,200,201,200,192,184,223,209,179,199,220,204,192,179,151,108,101,77,87,155,211,200,202,202,201,197,197,198,200,202,198,211,189,189,214,206,187,202,221,188,181,171,144,93,106,91,84,74,144,211,202,203,203,198,198,199,201,202,199,226,202,194,205,204,201,194,208,174,174,159,130,89,95,85,89,88,69,146,215,201,205,200,200,200,202,200,201,209,201,188,206,211,205,198,203,178,171,149,114,87,84,79,86,88,85,65,175,213,204,198,199,200,200,203,206,199,207,201,195,214,206,202,215,193,173,141,103,82,73,75,85,85,85,71,112,215,204,197,197,199,197,212,204,197,210,216,198,206,205,203,212,198,168,127,96,71,58,78,89,88,83,75,87,205,205,197,198,199,198,205,206,202,202,213,199,207,212,211,209,196,156,112,87,49,55,78,91,94,97,75,99,211,203,199,199,200,201,200,208,213,205,216,209,175,221,218,207,197,149,100,59,24,56,74,85,102,97,77,110,215,202,199,199,200,201,201,208,215,218,187,202,180,209,217,209,200,141,87,27,18,46,62,81,110,89,77,118,213,203,199,200,200,201,202,201,203,227,156,166,204,199,211,215,194,133,79,27,14,30,53,92,117,85,72,147,216,204,200,200,201,201,201,201,189,201,223,194,187,199,215,219,187,130,74,45,30,21,61,115,117,85,73,168,216,206,200,201,202,203,202,202,193,177,205,201,192,197,218,219,181,123,71,63,65,45,85,143,130,91,70,166,215,206,190,193,194,196,199,202,206,191,192,194,182,173,209,217,176,112,73,74,75,57,110,168,161,113,67,176,215,204,111,116,119,121,125,130,133,136,138,138,111,114,198,217,175,102,78,82,82,72,122,170,177,144,78,160,211,220,97,97,97,96,94,96,95,93,93,94,96,88,194,224,176,99,102,92,86,86,130,168,183,176,107,151,228,244,103,104,105,103,101,104,103,103,103,103,109,89,180,230,171,106,155,111,100,86,114,158,177,188,135,164,230,238,100,101,101,101,102,102,103,103,103,104,107,92,154,226,165,116,188,130,116,103,86,133,171,166,128,112,231,222,100,101,100,103,103,103,104,103,104,105,109,93,143,242,154,135,210,155,134,121,98,85,134,142,104,138,197,201,100,101,99,100,101,103,103,102,104,105,108,93,140,235,116,181,217,175,151,138,113,84,83,94,96,207,155,175,100,100,100,100,101,101,102,102,104,104,105,101,114,139,164,223,213,186,164,150,122,91,81,75,89,229,196,156,99,101,99,102,102,100,101,104,104,103,104,106,99,105,215,224,217,193,171,157,133,96,82,78,92,234,226,198
12,62,66,72,78,92,106,113,119,125,130,131,134,136,138,142,145,148,150,151,153,153,156,157,157,158,158,158,159,63,68,73,79,94,108,114,121,126,130,132,135,137,141,144,145,148,152,153,153,156,157,158,158,159,159,160,160,64,68,75,80,95,108,116,123,127,130,133,137,140,141,146,151,149,154,147,157,158,159,160,159,161,163,163,163,65,70,76,83,98,109,117,124,128,131,136,138,139,156,122,120,160,164,110,106,163,156,163,164,162,165,164,165,65,70,77,85,101,111,118,124,129,134,139,132,164,177,132,94,139,168,123,77,111,120,104,158,167,165,165,165,66,71,78,85,102,114,120,126,131,136,140,133,188,187,145,110,118,170,138,105,75,119,84,104,171,166,167,168,66,73,80,87,104,115,121,127,132,137,140,141,191,205,164,115,115,176,137,106,67,110,108,69,152,173,167,168,67,74,81,90,107,116,122,129,134,139,134,151,175,188,179,116,104,182,138,100,63,108,102,70,155,173,171,170,69,75,82,91,107,116,124,129,133,130,143,158,162,149,155,105,82,150,127,88,64,112,93,79,167,174,172,172,69,75,82,94,109,116,123,130,133,179,199,132,86,92,133,88,66,118,95,74,69,105,82,98,180,172,173,173,70,76,82,96,111,117,126,123,162,219,168,115,92,63,117,100,62,103,98,75,69,98,76,108,182,173,174,174,71,77,83,97,110,117,128,127,187,160,149,126,107,66,98,133,66,102,134,86,81,133,93,117,185,173,176,176,72,77,84,98,112,119,124,137,188,138,129,141,111,84,45,73,39,67,109,78,88,141,105,64,140,184,175,177,71,78,85,100,113,120,121,147,187,145,114,132,104,91,39,25,58,92,92,91,121,107,81,69,90,182,177,178,73,79,86,102,114,120,122,149,202,157,125,104,91,75,34,49,106,148,152,144,135,109,103,88,102,184,178,179,74,79,88,105,114,123,123,156,202,158,139,102,75,76,62,94,149,170,167,151,132,105,97,79,135,186,178,179,75,80,88,107,116,123,122,160,197,165,143,109,95,118,111,153,178,177,168,143,118,103,84,78,166,182,180,180,76,82,89,107,114,124,126,154,188,160,138,112,113,118,117,174,174,176,165,130,109,99,76,107,186,178,181,181,75,81,91,108,114,124,129,145,183,155,135,119,115,107,127,165,165,172,149,119,102,92,76,152,186,179,182,181,75,81,92,109,115,124,132,139,179,152,140,134,120,120,147,161,166,158,132,112,96,81,95,182,182,181,182,183,77,82,93,110,118,127,132,134,166,158,150,147,132,125,146,154,154,134,112,100,92,75,135,188,181,183,184,185,78,83,95,111,118,125,132,133,155,168,149,140,126,112,119,136,134,117,99,91,83,93,177,182,181,183,185,185,78,83,96,110,116,126,132,136,148,176,143,132,118,105,106,115,110,102,90,91,75,141,187,181,184,185,185,185,78,83,98,112,117,127,132,138,143,180,158,130,109,101,111,108,108,102,90,81,98,181,179,183,185,186,185,185,78,83,99,112,118,127,133,140,142,179,174,137,122,121,124,106,109,103,87,68,137,187,180,185,186,186,187,187,79,85,100,112,119,127,134,136,154,194,186,146,137,129,126,104,99,91,82,59,149,188,182,184,186,186,187,187,78,85,101,113,120,130,130,158,186,173,205,155,145,128,121,103,90,81,79,57,151,188,180,185,186,186,188,188,79,85,102,113,121,130,133,191,201,151,173,156,144,125,116,97,80,80,77,60,161,187,183,186,186,187,188,188
10,78,88,98,114,136,145,152,157,159,162,163,164,165,165,165,167,168,167,166,165,164,162,161,159,157,156,153,151,79,89,100,117,137,147,154,158,160,162,163,166,167,168,168,168,168,167,167,166,164,166,162,160,160,158,155,152,81,91,101,119,138,148,156,159,161,164,165,167,168,169,171,171,171,170,168,168,168,156,161,163,160,158,157,153,82,92,103,120,140,150,157,160,164,166,167,169,170,171,173,173,173,173,172,169,176,123,123,170,160,160,158,156,85,93,104,122,142,151,158,163,165,167,170,172,173,174,174,174,175,175,174,172,180,125,106,172,164,163,160,158,86,94,105,124,143,153,160,165,166,169,172,174,174,175,178,178,178,178,176,175,181,123,102,172,166,165,164,161,87,96,107,125,145,154,162,167,168,170,174,176,177,178,181,181,180,179,179,179,187,128,103,176,170,169,166,164,88,97,108,128,147,155,163,167,168,171,176,178,180,181,181,182,182,182,180,182,168,127,104,178,173,172,169,167,89,99,109,129,148,157,163,169,171,173,178,181,181,182,183,183,185,186,187,190,109,102,102,179,175,173,172,169,90,99,109,131,149,158,165,170,172,175,180,181,181,185,185,185,186,181,171,167,102,76,107,183,175,175,172,170,91,99,110,132,149,159,166,171,173,177,181,182,184,186,188,192,193,180,151,102,91,62,114,189,177,177,175,173,92,100,111,133,149,160,167,172,175,178,182,184,186,187,185,165,178,175,129,75,69,76,94,188,179,179,176,173,94,102,112,135,150,161,168,173,175,179,183,186,189,195,179,135,106,85,66,72,92,77,73,182,182,180,178,174,96,103,113,136,151,162,169,174,177,180,185,188,179,171,192,163,104,39,42,66,147,99,70,176,185,181,179,176,96,104,114,136,151,163,170,175,178,180,184,191,173,133,143,178,127,59,50,66,160,130,71,170,189,182,180,178,95,105,114,136,150,163,170,175,178,182,186,192,188,171,126,160,135,80,42,83,161,139,70,153,194,183,182,179,96,105,115,137,152,163,171,177,178,183,188,190,157,167,122,120,136,87,50,127,162,135,67,135,197,183,183,181,97,105,117,139,153,163,171,178,179,184,187,197,163,124,115,89,146,135,88,159,150,110,65,144,196,184,183,180,96,105,118,140,153,164,171,178,180,185,188,193,174,133,110,108,139,149,98,157,139,92,62,162,195,185,185,182,97,106,118,140,153,164,172,178,181,186,189,193,198,161,121,106,108,141,134,154,127,88,58,173,196,186,186,183,97,106,118,141,154,164,172,178,180,185,189,191,198,177,146,121,118,184,182,145,117,83,64,186,194,188,186,184,97,106,119,141,153,164,173,178,182,186,190,192,182,173,156,140,130,177,172,134,108,74,75,197,193,191,188,186,97,106,120,141,153,164,173,179,182,186,190,195,178,172,162,150,133,168,163,123,97,57,96,205,191,192,189,187,96,104,118,141,153,164,173,179,181,186,189,193,190,169,164,148,127,146,143,109,86,47,138,204,191,190,188,185,95,103,117,138,151,162,172,177,179,184,187,190,195,181,159,141,124,126,134,110,79,63,183,196,191,188,186,184,94,101,115,137,150,162,171,177,180,184,188,191,194,194,166,141,138,129,137,118,68,97,203,191,190,187,186,183,94,100,115,136,148,162,170,177,179,184,187,191,194,192,176,159,154,136,134,109,63,126,205,191,189,186,184,183,91,98,114,136,147,160,169,175,177,182,185,189,192,183,187,170,156,135,117,99,60,133,203,188,188,187,184,182
17,135,139,141,147,153,157,160,164,167,169,171,173,174,175,175,175,175,175,173,165,172,173,172,172,172,170,168,167,137,140,143,149,155,159,163,166,168,171,173,174,175,177,177,177,176,181,174,127,159,175,174,173,172,171,169,168,138,142,144,149,155,161,164,167,170,172,175,177,177,179,180,179,187,178,132,99,145,178,176,174,173,172,172,171,140,143,146,151,157,163,166,168,172,174,177,179,180,181,182,180,195,187,138,80,140,180,178,176,175,174,173,172,141,144,147,153,159,164,167,171,173,176,178,180,182,182,183,181,192,195,161,93,148,181,179,178,177,176,175,173,143,146,149,154,160,165,169,173,175,178,180,181,183,184,184,183,189,208,181,119,159,183,181,180,179,178,177,175,144,147,151,156,162,167,171,173,177,179,181,183,185,186,186,186,192,216,189,136,156,185,183,181,180,180,178,177,146,148,152,157,163,168,172,175,178,180,182,185,186,187,187,186,196,219,193,141,139,187,185,184,181,181,180,179,147,150,153,159,165,169,173,177,180,183,185,187,187,190,190,189,208,223,204,153,121,185,186,186,184,183,181,180,148,151,154,161,166,171,175,179,181,184,187,186,171,169,191,194,214,219,201,157,115,182,188,187,186,185,183,181,150,152,156,162,167,172,177,180,183,185,191,187,156,111,175,198,185,192,193,152,111,178,189,188,187,187,186,184,151,153,157,163,169,173,178,181,183,183,192,180,152,93,119,151,147,181,189,153,106,176,191,190,189,187,187,186,152,154,158,164,170,175,178,184,193,193,194,166,154,133,102,96,142,187,177,154,110,174,193,191,189,189,188,187,153,155,160,167,172,177,180,193,207,197,208,196,187,164,114,85,135,173,166,149,113,166,195,193,190,190,189,189,154,156,161,168,173,178,182,194,204,163,180,197,188,168,143,103,97,131,142,133,106,151,197,194,193,192,191,190,155,157,162,169,174,180,184,189,198,163,115,125,154,170,169,137,93,84,104,111,99,142,198,195,194,194,192,191,156,158,164,170,175,181,185,189,202,179,131,76,103,150,184,163,127,93,80,92,90,148,200,196,196,195,193,192,157,159,164,171,177,182,186,191,214,196,192,107,102,164,196,173,147,117,79,73,76,154,200,198,197,196,195,193,158,160,165,172,178,184,188,191,222,208,168,127,134,216,205,176,153,125,76,59,67,166,202,199,198,197,196,195,159,161,166,173,180,185,189,192,223,206,161,163,195,218,202,165,150,116,72,58,80,189,202,201,199,199,197,196,159,162,167,174,180,186,190,193,223,203,185,183,225,200,192,168,136,110,72,57,129,205,202,201,200,200,199,197,160,162,168,175,181,186,191,195,220,213,190,192,225,200,190,182,138,96,69,66,177,206,203,202,201,200,200,198,161,163,168,176,182,188,192,195,217,220,192,197,215,193,174,166,125,84,64,83,197,205,204,204,202,201,200,200,161,163,169,176,183,188,193,195,211,220,193,182,194,169,151,133,96,73,61,117,208,206,206,204,203,202,201,201,161,164,170,177,183,188,194,197,207,213,179,158,168,156,137,111,85,75,68,170,212,208,207,206,204,203,202,201,160,162,169,176,182,188,188,184,202,205,158,146,159,166,145,113,89,70,105,205,209,208,207,206,205,203,202,201,159,161,169,176,182,187,128,65,163,200,184,179,168,170,154,114,87,69,157,211,209,208,207,206,204,203,202,201,159,162,169,176,184,167,88,47,124,197,189,176,169,166,153,115,81,79,186,210,209,208,207,206,205,203,202,201
0,191,192,193,193,193,195,196,196,196,197,195,196,196,195,196,195,196,198,197,197,196,196,196,196,195,194,195,195,193,193,194,195,194,195,195,196,197,198,197,196,196,197,198,203,182,167,192,198,195,200,199,197,197,196,197,197,194,195,195,196,196,196,196,197,198,200,199,199,191,171,185,216,170,141,134,158,152,164,197,181,170,199,198,200,194,196,196,196,198,198,197,197,198,199,203,221,193,159,138,198,176,161,119,97,139,131,145,169,122,203,199,200,196,196,197,198,200,199,200,199,200,181,199,230,191,171,139,201,188,170,130,106,156,140,113,162,116,199,202,201,196,196,198,199,200,200,197,209,218,162,146,218,202,181,140,197,208,178,136,118,171,139,98,145,110,186,205,202,197,197,199,200,201,201,199,224,218,176,151,193,220,184,139,183,218,181,132,122,174,132,85,132,112,138,209,201,198,198,200,201,202,199,215,209,213,190,163,157,226,180,135,162,222,176,123,100,154,122,76,124,127,89,193,205,198,199,200,202,201,206,216,185,218,201,166,131,217,180,134,128,209,162,110,77,128,109,71,127,135,82,169,210,200,201,202,202,201,215,198,161,204,203,165,119,194,176,129,99,178,148,109,75,109,97,71,143,145,91,167,210,200,201,202,202,203,217,200,172,184,188,152,105,159,164,122,78,150,142,109,71,111,94,96,171,160,98,170,212,198,199,201,200,210,207,185,154,149,175,142,98,132,158,117,62,128,142,100,73,128,97,137,186,162,99,174,211,198,199,200,198,211,222,196,159,121,164,136,89,122,157,117,58,126,152,104,143,168,126,142,186,163,100,186,210,197,200,201,200,210,225,202,166,118,119,138,101,114,166,127,68,120,163,163,186,176,152,123,157,157,100,190,209,199,201,202,200,213,228,208,180,145,106,124,122,111,174,149,137,178,189,185,176,162,142,127,111,121,89,189,210,201,201,202,200,213,229,215,189,163,145,136,141,159,174,188,203,205,198,184,171,152,130,120,102,92,82,187,211,200,202,203,201,213,226,219,198,179,169,157,148,162,184,197,205,206,202,185,167,148,124,109,98,87,88,199,211,199,202,203,202,210,221,221,207,194,182,167,159,158,179,194,201,199,195,181,161,145,121,104,93,84,149,213,211,199,202,204,201,201,220,220,219,205,189,170,162,161,178,196,205,196,187,176,158,140,117,98,82,137,210,210,210,188,190,194,195,189,214,221,225,206,190,174,162,162,180,201,201,192,181,172,154,132,109,87,108,206,212,212,211,115,116,120,124,117,196,219,219,203,192,178,164,158,181,196,190,176,166,157,142,121,103,84,156,198,197,199,199,98,100,100,100,87,164,216,203,196,194,184,168,156,177,191,179,162,145,133,122,109,96,95,109,114,114,114,125,104,104,105,105,94,148,212,191,195,197,185,168,155,171,188,173,149,122,110,103,94,97,103,98,96,112,156,196,104,102,102,103,97,138,211,186,196,196,182,170,158,167,181,165,131,101,94,89,101,105,107,122,166,212,221,209,103,101,101,104,100,134,221,197,197,192,176,168,159,156,165,154,114,92,87,93,104,121,183,220,233,223,214,201,101,101,103,103,98,128,224,208,202,189,175,169,164,147,156,146,104,89,85,98,143,214,237,236,231,222,226,219,104,102,103,103,99,126,214,211,207,188,175,171,165,141,150,142,100,81,83,160,221,229,233,231,216,216,226,231,105,102,103,104,98,126,206,210,204,182,171,170,167,138,143,136,97,70,133,224,215,229,225,217,212,216,224,229
7,160,165,170,174,178,180,182,184,186,188,189,189,189,189,190,189,189,190,189,188,187,187,186,185,184,183,182,181,162,167,171,175,178,180,184,186,187,188,191,191,193,192,192,191,192,191,190,189,189,188,188,187,186,184,184,183,163,168,173,178,180,183,185,187,189,189,191,193,194,193,193,193,193,192,191,191,191,190,189,187,187,185,186,185,165,170,174,179,182,184,186,190,191,192,193,195,195,195,195,195,195,194,194,192,193,192,190,189,189,187,187,186,167,172,175,180,183,185,188,191,192,194,195,196,197,197,196,196,197,198,197,194,191,190,190,192,190,189,189,187,168,173,176,181,184,188,189,191,192,196,196,198,200,201,200,197,194,188,186,166,183,211,170,190,194,191,189,188,170,174,179,183,186,189,191,194,195,196,198,197,193,184,179,181,178,167,168,155,174,192,143,185,192,190,193,190,171,175,181,185,187,190,192,194,193,193,188,177,164,144,156,170,174,153,142,134,128,145,149,201,211,148,192,193,173,177,183,187,189,191,188,170,165,166,166,165,157,148,133,138,125,126,148,150,149,155,167,190,185,128,191,195,173,178,183,187,192,197,181,165,166,159,150,152,155,142,130,125,141,170,188,171,160,153,137,121,135,173,198,193,174,179,183,189,200,190,175,171,165,139,139,160,172,155,150,141,140,155,160,141,122,110,125,156,187,202,197,196,175,179,188,194,185,181,181,178,147,111,130,143,146,134,133,131,112,117,109,114,139,172,202,206,202,198,198,197,175,185,194,189,186,183,174,177,156,118,115,102,92,84,86,94,104,130,168,195,209,209,203,201,200,200,199,198,190,195,192,192,189,175,170,168,170,151,108,85,63,110,162,168,191,209,213,208,204,203,205,205,203,202,201,200,198,193,189,185,177,172,172,172,170,148,114,92,86,107,187,222,211,209,208,207,207,206,204,204,204,203,203,202,197,190,179,174,169,165,159,155,149,130,109,86,91,87,72,161,218,208,210,209,209,208,206,205,205,204,204,203,191,179,172,165,159,154,149,144,141,131,107,79,83,104,86,96,216,211,212,210,210,209,209,207,206,205,205,204,184,180,165,161,153,150,149,148,148,146,113,80,74,93,89,105,219,211,212,211,211,210,210,209,208,206,204,203,108,161,164,159,154,151,147,146,147,138,107,85,84,69,72,78,176,222,210,212,212,211,210,210,209,207,205,204,52,72,138,166,159,154,145,138,128,113,98,95,92,81,71,65,155,226,211,214,213,211,211,210,210,208,207,206,61,49,55,131,165,151,142,132,123,108,99,93,97,82,98,136,206,219,215,216,215,214,213,211,210,210,209,207,55,53,47,52,128,137,123,111,107,90,73,85,89,90,204,226,218,217,217,216,215,214,213,212,211,210,209,208,51,48,47,42,57,95,94,99,87,60,60,72,100,189,226,215,217,218,218,216,216,215,214,213,212,211,210,209,46,44,42,46,40,27,49,188,157,81,108,146,207,225,218,219,219,219,218,217,216,216,215,213,212,212,211,209,34,38,40,46,42,36,171,221,216,211,217,226,222,219,221,219,219,219,219,218,217,218,217,215,214,213,211,210,69,39,36,50,38,160,222,209,215,219,218,217,220,221,221,221,219,221,220,219,219,217,217,216,215,214,211,211,58,64,46,36,80,219,206,212,214,216,218,219,220,221,222,221,220,220,220,219,218,217,217,216,215,213,212,211,29,49,47,27,106,221,206,212,213,215,217,218,219,218,218,220,220,219,219,218,217,217,216,216,213,211,212,211
21,151,155,158,161,162,164,165,166,168,169,169,169,170,168,168,168,167,166,165,165,163,162,162,161,159,158,158,156,152,156,159,162,164,165,167,168,170,170,171,171,171,171,170,168,161,165,166,166,165,164,164,163,161,160,160,159,154,157,160,163,165,166,168,170,172,172,173,172,172,173,173,174,118,142,168,168,166,166,166,164,163,161,161,160,156,158,162,164,166,167,169,171,174,174,174,174,174,174,177,172,107,135,169,170,169,167,167,166,165,162,162,162,157,160,163,166,167,168,171,173,175,175,175,175,175,175,184,164,108,143,171,171,170,167,161,167,167,165,164,164,158,161,164,166,169,171,172,174,175,176,176,177,178,175,190,161,107,151,174,171,169,153,118,148,169,167,167,166,159,162,165,168,171,172,173,174,176,177,179,179,179,178,192,159,109,160,175,172,166,140,98,141,169,169,168,166,160,164,167,169,172,173,174,176,178,179,181,180,180,179,193,156,106,165,176,173,161,137,100,161,169,169,168,167,161,164,167,170,172,174,176,178,179,180,180,180,179,182,191,152,102,165,177,172,157,127,113,170,171,170,169,169,162,166,169,172,173,175,177,179,179,181,181,181,180,190,189,146,100,170,176,165,153,113,143,174,172,172,171,170,164,168,170,173,174,176,178,180,181,181,179,176,177,196,183,137,111,178,170,159,139,105,165,175,174,173,172,171,164,168,171,173,175,178,180,181,181,184,177,139,136,179,156,118,115,179,167,158,119,120,176,177,175,175,174,173,165,168,172,175,176,179,181,181,182,185,180,146,115,110,102,93,126,173,168,146,104,156,179,177,176,176,174,173,166,169,172,175,178,180,181,182,185,191,181,178,149,122,85,85,126,151,154,123,111,176,180,178,176,176,175,174,166,170,174,176,179,181,183,184,192,196,193,205,181,138,92,85,100,114,119,101,144,181,180,179,178,178,177,176,167,171,174,177,180,181,184,185,192,163,178,187,174,130,94,84,89,95,96,100,172,183,182,181,180,178,179,178,167,171,175,178,181,182,184,193,174,136,166,135,163,141,106,87,79,86,88,126,184,184,183,183,181,179,179,178,169,173,176,179,182,184,185,200,182,150,121,92,146,156,120,91,79,81,85,155,186,185,184,183,182,182,181,180,170,175,177,180,182,184,186,199,165,129,108,92,126,169,135,103,86,82,85,169,187,187,186,184,183,183,182,180,170,174,178,181,183,185,193,200,165,148,135,118,168,181,147,124,95,87,85,170,190,189,188,186,184,184,183,182,170,175,178,181,183,185,199,198,172,156,134,158,207,184,148,134,102,93,91,174,191,189,189,188,185,184,184,183,171,176,179,181,183,187,205,205,185,149,146,207,202,170,140,131,106,96,99,181,190,190,188,189,187,186,185,183,171,176,179,181,185,187,208,212,177,153,156,217,193,166,136,121,109,97,110,188,190,190,189,189,188,187,185,183,172,176,180,183,186,187,207,201,165,168,161,213,191,166,146,109,102,96,129,191,192,192,191,190,188,187,186,185,171,175,179,181,184,186,201,185,182,177,162,210,187,158,141,111,100,97,150,192,192,192,190,190,189,188,187,185,171,174,176,180,183,185,193,192,202,175,173,199,172,145,126,108,101,100,166,192,192,190,189,188,187,186,186,183,171,175,177,181,184,187,189,198,195,165,161,182,158,131,110,103,99,107,179,193,192,191,190,188,189,187,186,184,172,175,178,181,184,188,188,193,180,161,150,167,153,127,114,103,96,116,188,193,193,192,191,189,189,188,187,185
12,194,195,196,197,197,198,199,200,200,200,200,201,201,201,201,202,202,202,202,202,201,201,201,201,200,200,200,199,195,196,197,198,199,199,201,201,201,201,202,202,202,202,202,203,203,203,203,203,202,201,201,202,201,201,201,201,195,196,198,200,200,201,203,203,202,203,203,204,204,204,204,204,205,205,205,204,203,203,203,203,203,203,202,202,197,198,199,200,201,202,204,204,203,204,204,205,205,205,205,205,206,207,206,206,205,205,205,205,204,204,204,203,199,200,201,202,202,203,205,205,205,206,207,206,208,212,207,200,203,207,207,206,207,207,207,207,206,206,205,205,201,201,202,203,204,205,206,207,209,217,215,205,212,224,210,180,183,208,207,195,201,207,208,208,208,207,207,206,201,202,204,205,206,207,207,207,222,239,227,198,206,229,213,165,154,203,202,171,177,204,209,209,209,209,209,208,202,203,205,206,207,207,208,208,229,249,232,195,199,231,214,167,148,199,194,156,147,196,211,211,210,210,210,210,203,205,206,207,208,209,210,213,229,243,232,197,194,230,215,177,164,203,186,143,128,185,212,213,212,211,211,211,204,206,207,208,209,211,223,225,213,218,226,204,183,225,217,178,176,207,185,136,119,177,213,214,213,213,212,212,205,207,208,209,210,219,240,230,196,184,202,187,160,203,201,160,177,205,171,126,114,173,214,215,215,214,213,213,207,209,210,211,212,231,248,236,201,167,174,154,123,146,152,144,177,184,143,114,115,172,215,217,216,215,215,214,208,210,211,212,216,238,247,239,211,172,153,136,105,103,130,177,202,186,151,138,135,178,217,218,217,217,215,215,210,211,213,213,220,240,237,235,217,183,143,120,115,124,180,229,233,212,184,171,155,181,217,219,218,217,216,216,211,213,214,214,226,246,237,223,215,189,148,118,122,173,234,247,238,218,192,171,150,172,217,220,219,218,217,217,213,214,214,216,235,251,239,213,208,190,161,128,136,216,250,248,238,219,191,163,141,169,218,222,221,219,218,219,214,215,216,217,238,253,245,221,201,190,185,157,169,239,252,248,236,215,185,157,136,168,218,222,222,221,220,221,215,216,217,218,235,253,248,227,201,185,190,192,215,250,251,247,235,211,181,153,134,158,215,223,223,222,222,222,216,217,218,219,236,253,250,235,218,203,198,220,241,252,248,245,233,208,181,150,130,155,216,225,224,223,223,222,216,217,219,220,237,253,253,245,234,224,215,228,241,250,243,238,228,207,177,145,127,168,220,226,225,224,224,224,217,218,220,221,236,253,254,250,241,230,220,225,234,246,238,229,221,203,168,137,132,192,224,226,226,226,226,225,217,219,221,222,231,251,254,251,242,227,218,222,228,239,231,221,213,193,156,129,153,214,226,227,227,227,227,225,218,219,221,223,227,247,253,248,238,222,214,219,225,232,226,215,202,175,139,130,187,226,228,228,228,227,227,227,218,219,220,221,222,239,244,233,222,210,206,211,217,225,217,202,183,153,124,155,217,230,230,229,229,229,228,228,207,203,199,193,185,189,186,170,162,157,155,157,156,158,151,141,132,116,113,178,225,231,231,230,230,230,230,229,165,161,155,145,132,124,119,110,103,96,91,86,78,76,74,71,69,68,76,118,171,219,231,230,230,230,230,230,143,141,139,131,120,111,106,99,92,85,79,72,64,61,60,58,54,52,52,57,97,197,230,230,230,229,229,229,148,139,137,129,119,111,105,98,91,83,77,70,63,60,59,57,52,49,49,50,108,208,229,230,230,229,229,228
4,180,179,179,178,177,177,176,175,176,175,174,174,173,172,171,170,168,168,166,165,163,163,161,160,158,158,158,156,181,181,180,179,178,178,178,178,177,176,175,174,174,172,171,170,169,168,167,166,166,163,162,161,160,159,158,157,181,181,181,180,181,180,179,179,179,178,177,176,175,174,173,172,170,168,167,167,167,165,164,163,161,159,158,158,183,182,182,181,182,182,181,181,180,179,178,177,176,176,175,172,171,171,169,168,167,167,166,164,162,161,160,159,185,185,185,184,183,182,182,181,180,180,179,170,163,165,163,164,151,149,166,170,169,168,166,164,163,162,161,160,186,186,185,184,183,183,183,182,181,180,179,169,160,153,138,118,118,117,125,156,156,159,166,165,164,162,162,160,186,186,185,185,185,185,185,184,181,172,170,155,126,102,133,100,74,115,109,94,95,96,132,167,165,163,162,160,187,187,186,186,186,186,185,184,180,174,165,155,127,79,106,102,67,101,101,70,72,83,85,161,166,164,163,161,187,188,188,187,187,187,186,186,181,147,119,129,146,97,99,118,113,106,89,65,92,99,75,139,169,165,164,163,188,188,189,188,188,188,187,185,183,149,92,65,146,126,101,122,139,126,99,95,96,108,88,128,170,166,164,163,189,190,189,188,189,189,188,187,175,132,84,44,85,104,76,90,102,122,109,105,98,103,88,106,169,167,165,165,190,191,190,190,190,190,189,188,170,138,112,86,63,69,68,62,58,94,114,105,97,97,95,83,160,168,166,164,191,191,191,190,189,190,190,187,175,155,126,93,65,66,77,72,75,74,83,90,100,118,112,77,140,170,166,164,191,192,192,190,191,191,190,188,178,150,113,85,64,66,76,85,97,86,73,88,140,140,121,85,114,170,166,165,193,193,193,193,193,192,189,189,177,145,111,78,63,67,80,96,100,94,100,115,130,143,136,103,93,167,167,166,194,194,193,194,194,193,190,188,180,156,123,87,68,74,87,102,104,111,136,151,141,142,140,107,78,159,168,166,195,195,195,195,195,194,192,187,178,159,132,96,71,74,92,112,122,131,147,153,147,136,118,95,68,154,169,167,195,195,195,195,196,195,193,187,177,167,143,110,80,74,92,116,136,150,159,155,140,125,103,75,75,163,169,167,195,195,195,195,195,195,193,185,174,171,151,122,94,76,85,128,149,163,162,152,131,114,90,58,113,171,170,168,196,196,196,195,195,196,194,184,170,168,154,129,102,84,88,140,158,163,158,143,121,102,76,68,158,172,170,169,196,196,196,195,195,195,195,181,166,164,160,137,108,96,98,145,159,158,149,131,110,90,62,114,174,172,171,169,197,196,196,196,196,196,196,181,165,166,162,142,117,105,107,146,156,152,137,116,98,76,69,160,175,173,171,169,198,196,196,197,197,196,196,185,171,172,166,146,124,105,105,144,148,142,125,101,83,59,116,177,175,174,172,171,197,196,195,198,197,198,197,189,174,175,164,147,130,108,102,135,138,127,108,88,64,76,166,178,175,174,173,172,198,198,197,199,198,198,198,191,181,176,163,150,134,116,103,119,123,110,93,72,57,142,180,177,175,174,173,172,198,198,199,199,199,198,198,190,182,173,160,147,134,123,109,108,111,97,78,53,110,179,179,177,176,175,174,172,198,198,199,200,200,199,195,186,181,173,163,154,144,132,118,102,99,84,63,78,170,182,180,178,177,175,174,172,199,199,199,200,200,199,188,179,181,174,161,156,144,129,120,101,90,74,55,132,184,181,180,179,177,176,174,173
23,81,83,87,96,106,116,123,126,129,134,140,144,147,150,151,153,157,159,161,161,160,161,161,162,163,162,161,161,81,84,88,98,108,117,124,128,130,136,141,145,149,151,152,155,159,161,161,163,163,163,163,163,164,163,162,162,81,84,89,99,109,119,125,129,131,137,142,147,150,152,155,157,160,161,164,164,165,165,165,165,165,165,164,163,82,84,88,100,110,120,127,130,132,138,144,149,152,154,158,159,161,163,165,166,166,165,166,166,166,166,166,165,83,86,88,100,111,121,128,132,135,140,145,150,152,155,158,160,163,165,165,166,167,166,166,166,166,167,166,164,83,85,91,101,112,122,128,132,136,141,146,151,154,157,160,161,164,165,166,167,169,168,168,167,167,167,166,166,82,85,91,102,113,123,130,132,136,143,148,152,155,158,161,163,165,166,168,169,168,169,167,169,170,167,166,167,83,86,92,103,114,124,131,134,137,144,150,154,157,160,163,165,166,168,169,169,193,199,177,168,164,168,168,167,82,86,93,104,114,124,131,135,138,145,151,156,159,161,164,167,168,169,175,209,220,185,181,160,109,163,171,170,83,86,92,105,116,126,133,136,140,147,153,157,160,164,166,168,169,180,228,200,166,111,135,141,145,172,172,172,83,86,93,106,117,127,134,136,141,148,154,158,161,164,166,169,168,214,241,136,94,143,174,175,177,174,173,173,83,85,93,107,118,129,135,138,142,149,155,159,164,166,169,171,174,233,232,170,177,165,165,178,177,176,175,174,83,86,94,107,119,129,136,138,144,151,156,161,165,166,169,172,195,238,237,235,219,142,129,185,178,178,177,176,82,86,95,107,119,131,138,139,145,151,157,163,164,178,198,208,227,183,206,195,181,122,99,161,178,180,179,178,83,87,96,109,121,132,139,142,147,152,159,162,182,211,207,215,228,192,219,218,187,119,84,135,159,185,180,180,84,87,96,110,122,133,140,144,149,155,160,173,213,197,189,194,193,173,196,206,171,108,74,101,117,187,183,182,84,86,96,110,123,134,142,144,149,156,158,219,236,214,201,202,192,180,177,145,126,106,72,100,88,137,186,184,84,87,97,110,123,134,142,144,150,157,163,235,238,214,179,179,191,188,176,128,104,111,63,98,101,98,168,187,84,86,97,111,123,135,142,145,149,156,166,232,233,198,152,123,134,154,156,114,109,108,58,95,104,113,179,187,84,86,98,112,124,137,142,144,150,157,169,238,235,170,117,95,71,163,153,106,115,87,76,104,105,146,191,188,83,86,99,112,124,136,143,146,153,158,172,244,223,165,118,83,88,158,133,105,93,61,90,113,119,185,191,191,83,85,98,112,125,138,144,146,153,157,180,245,214,162,122,90,81,92,93,75,68,76,91,106,151,197,192,192,80,83,98,113,124,136,142,144,152,156,188,242,208,160,123,87,58,62,68,80,96,98,97,106,178,194,192,192,80,82,96,111,125,137,144,145,153,157,199,239,202,160,124,96,75,85,99,106,112,105,97,143,196,195,193,192,78,82,95,110,124,137,144,146,154,158,197,229,194,157,127,102,86,91,111,116,115,102,116,193,196,195,195,194,77,80,94,110,125,136,144,146,153,158,199,219,185,158,133,109,98,94,113,119,116,98,155,202,196,196,195,194,73,78,91,108,123,135,142,146,153,157,208,211,188,173,146,120,105,95,111,116,109,122,193,199,197,195,195,195,75,80,92,106,120,133,140,143,152,159,220,217,201,186,159,126,109,100,109,110,113,177,200,195,195,194,195,194
8,184,185,186,187,188,189,189,190,191,190,189,189,190,190,191,191,190,190,188,186,184,182,181,180,178,178,176,174,187,188,187,189,190,191,193,193,193,193,191,193,193,192,193,192,191,190,189,188,186,184,183,183,180,179,178,175,188,190,190,192,194,194,195,195,194,199,207,171,194,195,195,195,194,193,191,189,189,187,186,185,183,181,180,178,190,191,192,193,195,196,196,198,192,212,216,143,195,198,196,197,196,194,193,192,192,190,188,186,185,185,183,181,191,192,194,195,197,198,198,200,193,221,211,142,201,197,201,201,195,197,195,193,194,190,190,190,187,187,185,184,194,195,197,198,199,199,199,202,195,228,218,150,205,215,189,193,208,190,190,197,193,200,189,182,193,187,187,186,197,198,200,200,200,202,201,203,197,236,215,148,227,245,186,163,232,186,155,198,184,214,186,155,198,189,189,187,198,200,201,201,202,202,202,204,197,237,217,149,243,250,203,155,222,197,141,194,187,203,194,142,196,193,190,188,199,201,201,202,203,204,205,207,201,235,235,187,246,255,212,153,212,204,130,196,188,172,207,151,168,196,192,189,201,202,203,204,206,207,207,208,204,240,231,234,238,244,215,146,197,198,127,203,179,131,190,186,140,173,198,191,202,202,204,206,207,207,207,206,212,244,229,232,235,230,206,138,197,187,131,201,158,123,176,206,138,169,200,192,203,203,205,207,209,209,211,204,226,244,206,209,207,216,220,143,193,182,118,168,148,127,200,214,142,186,199,196,203,206,208,208,209,211,211,205,235,250,188,181,178,185,224,140,196,186,105,171,134,149,226,198,143,199,199,195,206,208,209,210,211,210,213,208,240,251,205,164,171,175,182,173,200,173,131,179,142,201,224,166,148,208,200,202,207,209,210,211,212,212,215,211,242,252,214,174,152,171,189,214,189,184,208,212,207,204,193,145,161,202,193,171,207,209,210,211,212,213,216,211,242,254,222,188,156,166,199,211,219,239,244,230,203,174,158,133,125,126,116,101,207,208,211,211,211,213,215,210,241,255,231,206,170,162,201,231,249,247,234,219,191,157,134,116,115,111,104,100,208,209,210,213,214,215,216,211,239,255,242,220,194,177,205,240,249,238,224,202,171,141,120,113,110,103,101,101,210,211,211,215,216,214,217,213,232,255,248,229,209,185,207,242,243,228,208,179,146,121,108,101,83,73,60,48,210,213,214,214,216,216,218,216,223,255,251,233,208,190,202,234,230,210,189,154,123,105,95,87,74,62,58,44,210,212,214,213,215,217,219,221,225,255,245,224,203,187,199,217,208,186,167,130,107,102,96,81,63,52,54,49,215,217,219,218,220,220,228,190,183,255,211,205,189,179,197,200,182,160,133,104,95,97,99,95,71,48,44,47,186,189,191,193,196,197,215,121,99,243,206,203,187,186,191,184,159,132,102,72,78,89,85,96,91,59,40,41,119,117,114,116,117,118,130,119,60,158,213,203,195,185,175,166,137,109,58,42,56,77,72,82,98,75,46,36,117,117,120,119,118,116,120,132,113,113,163,184,184,167,153,138,111,76,18,22,54,67,65,69,91,86,57,37,122,121,124,124,125,124,130,129,110,116,114,123,143,142,125,121,87,39,10,48,82,86,54,60,80,91,70,43,125,122,124,125,125,124,132,131,109,108,107,98,95,98,98,98,71,22,32,74,94,85,45,53,70,88,80,56,125,122,125,127,128,127,136,127,113,110,106,102,91,82,78,74,68,58,59,60,60,50,34,44,61,78,83,65
1,115,119,121,124,126,130,132,133,134,134,135,136,137,137,136,135,134,133,136,133,131,131,130,127,126,126,125,122,118,122,124,126,129,132,134,135,137,138,137,137,137,138,136,137,142,139,121,135,132,132,132,129,128,126,126,124,120,124,127,129,131,134,137,138,139,139,139,140,140,138,146,130,148,152,74,123,133,134,132,131,131,128,127,126,122,126,130,133,133,137,140,140,142,142,141,142,142,140,173,116,86,146,66,87,104,111,137,132,133,131,130,128,125,130,132,134,136,139,141,143,145,145,145,144,142,153,179,104,61,134,63,86,105,73,141,134,135,134,133,130,127,131,134,137,139,142,144,146,147,147,145,159,152,101,146,89,76,153,71,86,108,65,137,138,137,135,134,133,129,133,136,139,142,143,146,148,149,150,147,179,136,55,112,89,84,152,78,71,108,67,136,142,138,137,135,133,131,136,139,141,144,146,149,149,152,151,152,180,113,55,113,81,70,126,65,91,125,73,129,146,140,140,138,136,133,138,140,143,146,148,150,152,154,152,163,181,110,55,100,65,85,119,57,96,122,68,125,150,143,143,140,139,135,139,142,144,148,149,152,154,157,152,173,170,100,66,106,63,108,131,63,88,113,65,131,151,146,145,142,141,137,141,143,146,150,151,153,156,157,153,177,159,89,79,128,70,90,119,59,111,121,68,134,152,148,146,143,141,138,142,145,147,152,153,155,156,160,156,186,164,113,67,100,46,58,79,48,133,119,70,137,154,150,148,146,144,139,144,147,149,152,154,156,159,162,159,187,147,96,52,57,57,61,61,64,116,91,64,149,153,151,150,148,147,141,147,149,152,154,155,159,162,163,164,179,145,123,115,80,102,68,107,120,77,62,78,161,152,153,151,149,146,143,148,151,154,155,159,162,163,164,173,198,183,133,152,148,137,130,148,109,56,52,109,164,153,153,152,150,147,143,148,154,155,158,161,163,166,162,190,209,146,100,109,143,152,147,130,112,86,34,119,166,154,155,153,151,149,145,150,155,157,162,163,165,168,163,201,184,112,99,63,64,108,96,130,149,105,40,123,167,156,156,154,153,150,148,152,156,160,164,165,167,169,168,208,190,146,98,85,75,59,115,118,172,129,56,106,170,157,158,157,154,152,150,154,158,161,164,168,170,171,175,210,188,155,93,98,67,126,190,133,166,141,80,57,160,163,159,159,156,153,151,156,160,164,167,170,172,173,178,206,190,152,88,103,81,181,193,173,134,110,95,56,153,167,161,160,158,155,151,157,161,165,168,170,174,174,182,206,198,143,95,99,117,205,195,160,133,95,69,67,168,166,164,161,159,156,154,159,163,166,169,173,176,174,184,208,187,133,117,83,153,207,184,157,125,108,47,86,178,166,165,162,161,159,155,161,165,168,170,174,177,175,184,205,176,152,127,94,181,199,175,148,121,93,42,135,177,167,168,165,162,161,155,161,166,169,172,175,176,185,192,195,176,172,131,116,188,189,165,140,109,62,70,177,171,170,168,166,163,161,156,162,166,171,173,175,185,144,134,202,177,178,131,105,166,164,141,117,89,40,138,183,172,171,170,168,166,163,159,163,168,173,174,177,184,67,37,136,174,170,95,85,119,123,109,88,41,80,187,173,175,174,172,169,167,165,159,165,168,173,173,186,141,46,50,38,72,86,65,83,92,92,69,45,50,169,181,175,176,175,173,170,168,166,157,162,168,172,173,185,93,49,46,44,38,43,48,57,55,55,28,1,116,192,175,177,176,175,173,170,168,166
6,201,201,202,200,201,201,201,201,201,200,200,199,197,196,195,193,192,191,190,189,188,187,185,183,183,181,177,175,202,203,203,202,203,204,203,202,203,203,202,202,200,199,197,196,195,194,193,192,190,189,188,186,184,183,181,179,203,204,205,204,204,205,205,204,205,205,203,202,202,202,200,198,197,196,196,194,191,191,190,188,187,183,181,180,206,206,206,206,206,206,207,208,208,207,206,205,204,202,202,201,199,199,197,196,195,195,194,193,190,188,184,182,207,207,208,208,209,208,208,209,208,208,207,207,207,207,206,205,204,202,197,192,189,186,180,175,176,175,184,186,208,208,209,209,209,209,210,210,213,214,212,205,204,199,190,183,175,161,145,148,155,155,141,147,196,180,161,190,209,209,210,210,209,210,212,212,199,177,167,158,160,158,154,145,145,141,127,148,146,137,139,139,169,148,150,192,210,211,212,210,210,213,207,188,166,146,143,150,152,161,161,157,141,129,118,111,104,110,114,107,120,148,184,191,213,213,213,213,214,197,180,176,167,142,121,128,135,129,115,111,95,90,105,130,149,167,177,188,197,199,195,191,214,213,215,214,185,169,174,171,157,135,98,86,67,97,159,165,173,179,198,211,211,208,206,202,198,196,195,194,214,217,214,181,166,171,174,171,168,161,129,81,51,88,161,193,217,218,209,206,204,202,202,201,200,198,197,195,219,214,185,171,176,181,180,180,182,167,112,68,67,61,56,63,90,195,213,207,209,206,204,204,201,200,198,196,200,176,176,185,183,184,182,171,177,133,71,59,63,68,71,69,45,120,223,208,210,208,206,204,202,201,199,197,171,176,186,185,182,183,167,162,168,131,97,66,44,58,65,71,64,53,192,216,209,208,207,205,203,201,200,197,177,181,186,187,185,171,162,169,170,172,153,97,54,53,52,53,64,123,208,211,209,209,208,205,204,202,201,199,179,181,188,187,179,164,163,166,163,169,143,84,61,61,65,47,155,230,211,211,210,210,209,207,205,204,202,200,179,186,188,176,166,161,160,156,153,148,114,64,53,57,66,38,152,227,211,213,210,208,209,208,206,204,203,201,181,179,167,165,167,162,161,149,137,138,127,85,44,52,48,108,209,213,211,211,210,208,208,205,203,201,199,198,170,158,156,163,158,149,139,132,136,152,157,106,60,67,46,163,230,212,211,209,209,209,208,204,205,205,207,201,158,158,158,149,135,130,131,137,145,155,145,91,61,58,40,167,224,212,210,210,209,208,209,211,198,177,140,105,158,156,146,136,132,132,132,127,123,120,88,53,63,72,148,220,215,222,222,218,213,210,211,162,92,65,56,54,145,133,121,129,131,129,113,93,79,67,63,130,190,211,224,220,213,181,167,120,106,107,96,64,59,62,47,53,109,85,78,99,108,102,84,70,74,115,169,224,220,216,216,213,130,80,71,38,47,47,41,50,45,55,45,33,67,51,66,88,90,87,82,87,103,123,125,116,119,124,123,100,72,65,64,48,34,51,38,44,37,40,41,26,54,70,118,115,115,116,116,114,113,109,108,107,92,80,66,57,55,54,42,54,25,42,35,34,36,38,31,27,51,99,131,120,121,127,122,117,122,122,123,109,68,51,58,53,45,46,42,48,30,29,34,30,33,36,25,31,57,108,117,115,117,118,115,113,115,111,92,61,54,38,46,51,40,39,37,40,34,19,30,29,32,35,21,32,66,115,115,116,120,117,115,116,108,86,71,40,47,40,34,49,35,35,31,33,36,18,27,29,31,32,23,32
22,174,175,176,175,176,177,176,176,175,177,176,176,175,174,173,171,172,172,170,168,167,166,165,163,161,159,157,155,178,179,178,179,179,180,180,179,179,179,184,180,178,177,178,179,174,174,172,171,171,170,167,166,164,162,160,158,181,181,182,182,183,182,182,182,182,184,153,176,183,180,170,160,179,177,175,175,173,172,171,168,169,168,163,161,184,184,185,185,186,186,186,186,184,183,129,142,191,184,181,114,169,183,179,178,177,175,172,174,144,153,169,164,186,187,188,188,187,188,188,188,186,181,149,113,191,184,189,114,147,189,180,180,179,177,175,183,120,114,177,164,188,188,191,192,189,190,192,190,189,188,167,99,179,189,189,113,127,195,182,182,180,178,182,178,104,124,179,169,191,192,194,194,193,193,194,193,194,188,170,93,162,197,192,120,117,194,184,185,184,180,187,162,93,146,180,170,195,195,194,195,195,196,196,195,196,193,180,117,135,203,196,131,108,194,187,188,185,184,192,141,92,171,176,173,197,196,196,197,198,198,198,196,197,197,191,140,112,203,197,123,97,193,190,190,186,191,186,125,108,187,177,176,199,199,198,199,200,199,200,199,200,200,196,152,89,193,201,118,95,190,194,191,188,189,165,96,142,190,179,179,200,201,201,201,201,201,200,201,202,201,195,170,92,159,208,132,99,188,198,192,190,181,139,84,180,185,180,179,201,202,202,202,202,202,201,202,201,204,189,176,135,109,200,138,96,186,201,194,196,185,115,116,198,184,184,182,204,203,203,203,203,203,203,204,203,205,198,181,161,124,170,140,112,161,203,199,192,168,96,163,196,186,187,186,206,206,206,206,205,205,205,205,205,206,207,186,183,195,188,170,176,116,120,185,184,133,98,194,191,188,187,185,207,207,207,207,207,207,206,207,207,208,210,196,186,171,160,163,173,122,83,93,128,92,136,205,190,190,189,186,208,208,208,208,207,208,209,209,209,208,209,205,197,146,70,105,165,139,112,100,101,64,172,203,194,193,190,188,209,209,209,210,208,209,210,210,210,210,209,205,186,126,81,58,120,147,128,122,118,59,178,204,196,195,193,191,210,210,211,211,211,211,211,211,212,211,210,202,184,154,114,69,66,74,104,122,99,53,139,212,196,197,193,192,212,212,213,213,214,214,213,214,215,213,212,198,188,162,107,72,79,81,107,156,126,77,84,207,197,197,194,194,214,214,215,214,214,215,215,216,216,216,213,196,188,150,108,84,85,114,178,187,160,115,53,152,209,196,196,194,213,213,214,214,214,215,215,215,216,215,213,198,190,166,125,90,91,147,199,206,183,149,63,114,213,195,197,195,214,213,214,214,214,214,215,215,215,215,214,196,188,172,132,89,100,168,204,200,179,136,58,130,211,194,195,194,214,214,215,215,215,216,216,216,216,216,216,192,182,186,138,96,111,185,207,184,152,114,48,164,206,194,195,192,216,216,216,216,217,217,217,218,217,217,217,188,177,181,140,99,109,194,194,166,129,101,63,192,203,196,197,202,215,216,216,215,215,216,217,217,217,217,218,187,172,170,141,96,99,180,178,161,120,81,80,203,201,207,197,142,221,223,224,224,224,225,226,226,225,224,227,202,171,171,140,103,101,173,175,149,105,56,116,223,197,151,91,45,146,150,155,161,165,168,173,174,178,184,189,187,171,164,138,119,97,161,168,130,86,50,145,153,84,47,45,42,101,100,101,102,101,99,101,99,98,101,100,113,177,165,137,122,91,127,134,93,63,48,64,50,30,41,51,36
10,64,65,67,70,75,78,84,95,104,111,116,120,122,126,129,132,135,138,139,141,143,143,144,146,146,146,147,148,64,66,68,71,75,79,85,97,106,113,118,121,123,127,130,133,135,138,139,141,143,145,145,147,147,147,147,148,64,67,69,72,76,79,87,99,108,115,120,122,124,128,131,135,136,143,144,126,144,146,147,148,149,148,149,148,63,67,69,73,77,81,89,101,109,117,121,123,127,130,134,137,138,163,151,95,135,148,149,150,151,151,150,150,64,68,70,74,78,82,91,103,111,118,123,125,129,132,135,138,140,156,157,107,109,151,151,152,153,153,153,153,65,69,72,74,78,83,92,104,112,120,124,128,132,135,138,142,144,150,167,117,88,148,155,156,156,156,156,156,66,70,72,75,79,83,94,106,115,122,127,129,133,137,140,143,147,148,169,133,96,132,157,158,158,158,158,158,67,70,73,77,80,84,95,107,116,123,128,130,134,139,143,146,149,151,163,145,107,111,160,160,160,161,161,160,67,71,74,78,80,85,97,109,118,125,129,131,135,139,144,148,160,149,107,132,116,93,159,164,164,164,164,164,69,71,74,77,81,86,99,111,119,127,130,133,138,142,146,149,174,123,88,108,149,97,150,166,167,167,166,166,69,72,75,78,82,88,101,112,121,128,131,134,140,144,149,151,173,118,96,82,162,106,133,167,169,170,169,168,69,72,75,79,82,89,102,113,122,130,132,136,141,151,147,163,183,138,127,92,123,114,113,170,171,172,171,171,70,73,75,80,83,90,104,115,124,131,134,138,152,190,163,177,160,153,148,106,82,109,97,169,172,173,173,174,72,73,76,80,83,91,104,116,125,133,140,151,157,209,183,185,138,121,151,125,83,86,84,158,174,175,175,174,72,74,77,80,84,91,106,117,127,132,181,194,154,156,184,192,144,86,137,145,107,77,72,139,176,176,176,176,73,74,77,80,84,93,107,119,128,133,190,207,161,108,141,185,134,84,93,145,125,89,69,121,177,178,178,179,72,74,77,81,85,94,108,120,130,135,168,147,166,154,103,134,98,62,68,128,133,105,79,108,178,179,179,180,73,74,78,81,86,95,109,121,132,137,171,131,145,157,94,104,106,62,98,136,136,122,91,96,179,180,180,181,73,75,78,81,86,96,110,123,133,137,183,163,124,108,91,112,125,119,164,162,140,129,100,93,175,182,181,181,74,76,78,81,86,98,112,125,134,138,184,166,143,125,113,123,136,187,188,156,142,125,102,98,175,183,182,182,73,76,79,82,86,99,112,126,136,139,203,192,165,133,130,146,209,212,178,142,127,115,103,106,179,183,184,184,74,76,80,82,86,100,113,125,137,140,206,205,173,146,156,172,230,203,169,141,116,104,100,119,184,185,185,186,75,76,79,82,86,100,114,127,138,140,210,210,174,168,167,186,223,192,158,136,113,99,98,138,185,185,186,186,75,76,79,82,87,101,116,128,138,141,202,203,182,183,172,206,210,178,145,124,109,99,97,152,186,187,187,187,75,77,80,82,88,102,116,129,139,142,187,201,199,193,188,209,193,158,132,114,103,99,100,170,187,187,188,188,75,77,80,82,88,102,116,129,140,143,169,212,210,191,176,187,174,144,122,108,101,95,114,184,188,189,189,190,75,77,81,82,89,103,118,130,140,145,152,205,198,180,163,164,159,145,125,112,101,90,136,188,190,190,190,193,75,77,81,83,90,105,118,132,140,145,147,182,178,168,157,160,156,156,135,112,97,85,151,189,190,191,192,193
14,116,119,124,127,130,131,133,135,137,137,138,139,140,140,140,141,141,141,141,139,139,139,138,138,138,136,136,135,117,122,125,129,132,134,135,137,139,139,140,142,142,144,143,144,143,144,143,143,142,141,140,139,139,138,138,137,118,123,127,130,133,136,138,139,140,142,143,144,145,145,145,146,145,146,148,146,145,144,142,141,141,140,140,139,120,124,128,131,135,138,139,141,143,143,145,146,147,148,147,150,145,147,137,143,146,148,145,144,144,143,141,141,122,126,130,133,136,139,141,143,145,146,147,149,151,149,149,149,165,154,128,131,130,127,150,147,145,146,145,144,124,128,132,136,138,140,142,145,145,146,150,152,152,151,151,170,166,155,140,129,121,104,102,144,150,146,146,146,125,130,134,138,139,141,143,147,148,149,151,152,153,153,170,171,171,147,139,156,128,98,62,83,155,149,148,147,126,132,136,138,141,144,146,147,151,151,152,153,153,161,172,163,158,94,53,125,101,133,61,24,100,160,148,150,128,132,136,140,143,146,148,149,151,153,155,156,163,177,165,101,70,61,33,29,62,161,102,40,68,157,151,151,131,135,138,142,145,146,149,151,152,155,155,166,185,183,150,104,58,23,21,21,14,123,131,69,45,148,155,152,131,136,140,144,145,148,151,153,156,156,157,183,181,148,109,87,66,34,17,20,34,119,104,80,47,122,163,153,130,137,141,145,147,151,153,154,157,152,177,188,170,137,75,42,43,31,20,43,138,167,148,126,59,98,167,153,132,137,142,146,149,151,153,158,152,167,199,178,164,133,80,44,23,19,33,158,169,152,147,105,41,118,168,157,134,138,143,147,149,152,155,155,159,197,186,173,159,111,79,51,15,11,131,177,162,153,135,104,33,81,174,156,136,140,145,149,151,153,158,154,191,200,183,173,147,118,85,35,6,22,74,126,181,139,117,93,49,38,147,165,136,142,146,149,153,157,155,171,206,197,181,164,144,107,69,27,24,38,33,47,144,108,117,91,69,36,130,171,137,143,148,151,155,159,155,196,204,191,174,160,136,83,51,25,54,65,66,63,54,96,118,97,47,75,167,164,139,144,148,153,154,154,172,206,193,183,166,148,114,78,48,46,72,77,78,84,68,93,107,72,53,159,169,165,139,145,150,152,164,160,198,199,186,172,153,142,104,80,54,62,78,82,80,77,78,82,84,49,141,175,165,166,139,144,151,154,98,155,215,193,177,164,150,128,112,80,57,69,82,79,71,69,82,51,36,134,178,168,169,167,140,145,159,115,39,59,152,187,156,139,126,116,93,56,57,61,72,74,64,64,46,37,122,181,169,171,170,170,141,149,142,56,54,45,43,96,135,125,91,62,34,36,47,46,57,62,47,47,103,161,181,172,173,172,171,171,142,153,85,52,45,44,41,38,49,54,44,29,22,26,29,29,30,30,57,142,188,180,176,176,173,173,172,172,150,116,50,52,39,39,38,43,28,0,5,7,3,2,4,0,59,122,169,186,176,177,178,176,176,175,173,173,140,69,51,41,39,37,35,32,45,5,0,1,0,0,0,0,37,191,181,178,179,179,178,177,177,177,175,174,90,49,43,40,38,35,31,30,39,16,0,0,0,0,0,0,59,189,177,181,179,180,180,179,178,178,176,176,61,45,33,34,32,25,26,26,41,13,0,0,0,0,0,0,135,195,180,183,182,182,181,180,179,178,177,177,60,46,38,25,13,57,44,17,43,0,0,0,0,0,0,0,171,187,183,183,183,182,181,180,180,178,177,177
17,178,181,183,184,187,187,188,189,190,190,191,191,193,194,195,196,196,197,197,197,198,199,199,199,199,200,200,200,180,181,184,185,186,186,188,190,191,191,193,193,194,195,197,197,199,200,199,199,200,200,200,200,201,200,201,201,180,181,184,186,187,187,188,190,192,192,194,195,195,196,197,198,200,200,202,202,201,204,201,201,201,201,202,202,180,182,184,187,188,189,189,191,193,194,194,197,198,198,198,200,201,194,174,189,165,181,207,202,203,203,202,203,181,183,184,187,189,190,191,193,194,195,196,197,198,199,200,201,203,204,169,140,136,156,210,202,204,203,203,203,182,183,186,188,189,191,193,193,195,197,198,198,199,200,201,201,201,219,187,140,115,166,211,203,205,205,204,203,183,185,187,189,190,192,194,194,195,197,197,198,199,200,201,203,201,219,196,156,110,175,212,204,205,205,204,204,183,185,186,189,191,193,194,195,195,197,199,200,202,204,201,204,201,219,207,170,123,193,209,205,205,205,204,204,184,187,188,190,191,193,194,196,197,197,198,202,191,184,208,204,201,222,206,171,141,205,208,207,205,207,207,205,185,187,188,190,192,194,195,197,198,199,199,203,195,157,170,208,208,225,201,169,143,206,208,207,207,207,208,206,185,188,189,191,192,193,196,196,196,196,197,211,199,180,158,176,195,218,203,170,141,205,209,209,208,208,208,207,186,189,189,191,194,195,194,201,208,184,157,190,212,208,209,175,135,171,194,172,143,203,210,209,209,210,208,207,186,188,190,193,195,196,193,210,216,184,150,187,194,215,217,197,150,131,170,164,139,199,212,209,210,209,208,209,186,189,191,194,195,195,198,210,187,202,177,175,161,162,223,212,177,129,141,150,133,197,214,210,210,209,208,209,187,189,191,194,195,195,199,217,175,165,163,130,123,113,216,224,195,142,126,135,127,195,214,210,211,210,210,210,188,190,192,193,197,196,206,206,170,154,161,139,135,133,198,238,205,161,125,134,124,187,216,209,211,211,211,210,188,190,193,195,197,195,210,212,193,179,171,151,161,163,181,244,206,174,133,131,126,181,217,210,211,212,212,211,187,190,192,195,198,195,218,205,178,172,167,158,177,182,209,224,206,183,141,126,121,181,218,211,212,212,212,211,188,190,192,195,198,201,219,191,173,166,164,173,174,216,240,207,193,181,140,121,113,181,219,211,214,212,212,212,189,190,193,197,197,204,224,195,181,168,167,175,193,240,230,210,187,172,139,119,114,188,217,211,213,212,212,212,188,191,195,198,196,209,227,198,187,169,170,178,220,236,220,206,180,166,135,120,119,204,214,211,213,213,212,212,189,193,195,197,194,213,228,202,193,177,169,195,236,231,217,200,171,162,133,115,139,218,212,212,213,213,213,212,190,192,197,198,193,219,229,204,199,191,172,203,238,222,214,201,167,151,132,110,174,220,212,213,213,212,212,211,191,194,197,199,194,220,235,208,206,202,182,202,231,213,207,198,169,142,127,122,207,216,213,214,213,213,213,212,192,195,196,199,195,214,236,214,210,204,193,193,224,209,207,191,166,141,117,153,222,211,214,213,213,213,213,213,190,194,196,199,197,206,235,220,208,198,198,193,212,205,207,197,162,139,114,170,223,211,213,213,213,214,214,213,191,194,196,198,201,202,231,217,205,195,194,198,205,197,208,200,162,137,117,188,221,213,214,214,214,214,214,213,192,194,196,198,199,204,230,211,205,194,191,195,204,194,207,192,157,134,131,211,216,214,214,214,214,214,214,214
23,93,102,115,123,128,133,137,140,141,144,146,148,150,152,153,155,156,157,158,159,160,162,163,164,165,166,167,167,94,104,116,124,129,133,137,140,143,145,147,150,151,153,154,155,156,158,159,159,162,163,164,165,166,166,167,167,96,106,118,125,130,134,138,141,144,146,148,151,152,154,156,157,158,159,160,160,163,164,165,166,167,168,168,169,98,108,120,126,131,135,138,142,145,148,150,152,153,156,157,159,160,161,162,162,164,165,166,167,168,169,170,170,99,110,121,127,133,137,140,143,146,149,151,152,154,156,158,159,161,163,163,163,162,164,165,163,167,171,171,171,101,111,123,129,134,138,141,144,147,149,152,154,156,157,159,160,162,164,166,164,156,153,147,135,158,171,172,173,103,114,124,130,135,138,142,145,149,151,153,155,157,158,159,161,164,169,170,157,138,129,119,121,159,172,173,174,106,116,126,131,135,139,143,146,149,152,154,156,158,159,161,168,171,165,154,129,114,123,133,153,171,174,175,176,107,118,127,132,136,140,143,147,150,152,154,157,159,160,163,180,171,141,121,118,135,144,163,173,175,176,177,178,108,119,127,132,136,140,144,147,150,152,155,158,159,160,166,186,170,130,127,157,154,127,153,175,176,177,178,178,109,119,127,133,137,141,145,148,151,153,156,159,160,161,170,189,178,163,175,176,151,127,140,170,174,178,179,179,110,120,128,133,138,142,146,149,151,153,156,159,160,163,174,189,185,186,182,168,155,147,132,138,150,174,180,180,111,121,128,133,139,143,147,150,152,154,156,159,162,164,173,182,180,182,177,173,169,154,118,93,108,156,181,182,112,122,129,134,139,144,147,151,153,155,157,160,163,168,173,172,171,176,176,171,162,141,102,71,77,122,169,181,114,123,129,134,140,144,148,151,153,156,159,162,171,179,174,166,166,168,165,160,153,131,92,65,66,87,126,166,115,124,130,135,140,145,149,152,154,156,159,162,181,191,176,168,164,160,154,145,135,118,88,64,62,79,96,140,116,125,130,135,140,145,149,152,154,156,158,161,178,194,183,174,159,138,118,104,110,114,87,63,61,79,98,147,118,125,131,136,141,145,150,153,155,156,159,162,174,191,182,169,153,128,92,70,100,113,84,65,72,87,118,169,119,126,132,137,142,146,151,154,157,158,160,163,174,187,174,165,158,121,79,68,97,93,68,66,83,99,145,182,120,127,131,136,142,147,151,155,157,158,161,164,174,187,174,171,160,114,67,56,63,57,59,73,90,116,170,187,121,127,132,137,142,147,151,154,157,159,161,164,174,185,175,175,158,119,72,41,42,56,75,86,96,139,182,187,122,128,133,138,143,148,151,154,157,159,161,164,175,183,177,178,159,123,84,48,55,77,92,96,110,164,186,188,123,128,133,138,143,148,152,155,157,159,162,165,176,183,179,178,159,125,92,61,69,89,97,99,132,180,187,188,123,128,133,139,144,148,152,155,158,161,163,166,178,184,180,175,155,125,94,67,76,94,97,100,150,186,189,189,123,128,133,140,144,148,152,156,158,161,164,167,179,184,176,168,151,124,97,75,78,93,95,109,167,188,189,189,123,128,134,140,144,148,153,156,158,161,164,168,179,182,171,162,147,124,101,83,80,90,94,130,180,187,188,189,123,128,134,140,144,148,153,156,159,161,164,168,179,181,171,161,145,126,106,88,82,87,105,160,187,188,189,189,123,127,134,139,144,149,153,157,159,161,164,169,183,182,172,162,146,128,109,90,83,89,130,179,188,189,190,190
7,79,88,101,123,133,140,145,148,149,152,155,156,157,157,159,160,160,160,159,157,156,156,155,154,152,150,148,147,79,89,103,124,134,141,146,149,151,154,156,158,159,160,161,162,162,162,161,160,158,158,157,155,154,153,150,149,81,90,104,125,135,142,147,150,153,155,157,160,161,162,162,163,164,163,163,162,161,160,159,157,155,154,152,151,83,91,105,126,135,143,148,151,153,156,159,160,162,163,164,166,165,165,164,163,162,161,160,159,157,157,155,153,84,92,106,127,136,144,149,152,154,158,160,161,163,163,164,166,166,166,165,163,163,162,161,160,160,158,156,154,85,93,108,128,137,144,150,153,155,158,161,163,164,165,165,167,169,169,169,169,169,167,166,163,161,159,157,155,85,93,108,129,138,146,150,153,155,159,162,165,167,169,168,168,166,164,159,149,149,150,159,165,162,161,160,158,86,94,108,129,138,146,152,157,158,158,158,157,149,143,135,117,118,121,114,106,143,146,124,170,163,162,161,159,87,94,110,130,139,146,151,139,131,127,129,128,115,109,104,90,101,93,95,98,108,103,116,160,166,164,161,159,88,95,112,130,137,152,142,109,110,117,116,114,109,101,101,100,95,102,101,98,92,86,99,117,131,167,162,160,88,96,111,131,150,153,131,99,89,90,95,104,113,118,119,104,87,110,106,92,88,78,88,103,98,165,164,161,89,93,119,150,149,138,130,119,112,115,126,126,122,116,109,87,77,83,77,70,73,75,81,96,136,169,163,163,83,111,152,149,141,142,129,113,108,112,118,109,104,98,80,72,87,108,126,141,154,161,167,171,173,168,165,163,113,158,152,146,145,133,114,80,81,92,83,70,64,73,129,159,170,181,182,180,178,176,174,171,170,169,166,164,159,157,149,148,129,116,100,71,71,64,49,43,49,53,59,123,184,173,173,174,174,174,174,173,171,169,167,165,151,151,151,136,120,112,105,96,76,60,62,65,62,59,42,74,183,174,177,176,176,175,175,174,172,169,169,166,150,152,138,118,111,107,117,122,86,62,65,64,62,60,54,58,168,180,176,177,176,176,175,174,172,169,168,166,149,134,114,104,103,101,105,97,66,53,45,48,57,60,49,48,159,182,177,177,176,176,175,174,172,170,168,167,128,113,107,106,103,92,83,74,62,50,49,67,72,60,60,157,180,178,178,178,176,175,175,174,173,171,169,167,111,110,105,98,88,77,71,80,81,66,63,59,56,59,131,183,174,176,176,175,175,175,174,172,171,169,168,165,110,101,89,84,80,79,84,94,81,55,63,96,128,163,179,173,176,176,175,174,174,174,173,173,170,169,166,163,103,96,91,91,87,80,75,68,57,88,151,175,177,176,173,175,174,175,175,174,174,174,173,173,170,168,165,161,75,73,78,75,69,66,67,92,131,164,169,166,168,172,173,174,174,175,175,175,175,174,173,172,170,169,167,167,51,47,22,50,127,128,147,162,167,163,166,170,171,172,174,175,175,174,174,173,171,170,168,166,165,166,163,123,52,46,0,52,141,123,123,118,117,117,117,115,114,114,115,115,111,108,108,106,104,100,97,99,86,67,53,23,44,20,0,55,92,85,87,87,88,89,88,88,89,88,88,87,87,87,85,84,83,82,83,69,31,12,9,5,0,0,5,71,100,95,95,94,94,95,94,94,94,94,94,93,93,94,93,90,89,82,49,20,12,11,7,0,7,24,31,60,97,93,94,94,94,94,94,94,94,93,93,93,90,88,88,89,68,35,7,8,6,4,3,0
23,103,107,110,114,119,122,124,128,130,132,133,137,137,138,139,141,141,142,146,146,147,149,150,150,150,151,151,152,103,108,113,116,121,123,125,128,131,134,134,136,138,140,142,143,144,145,148,152,149,150,151,151,152,151,152,154,105,110,113,117,122,125,126,129,131,134,135,137,141,141,140,143,135,141,146,121,145,153,152,154,154,153,156,154,106,110,114,119,124,125,127,130,133,134,137,139,140,140,150,150,133,121,94,49,146,156,154,157,155,156,157,156,109,112,116,120,124,126,128,132,134,137,139,137,141,151,157,131,73,71,62,116,159,153,155,158,157,157,157,157,108,113,117,121,124,126,129,133,134,139,137,148,164,139,126,64,71,126,152,161,155,156,159,158,159,159,159,159,109,114,118,121,125,127,130,134,135,139,134,165,170,101,52,95,158,90,127,160,154,158,160,159,160,160,160,160,110,114,119,122,126,129,130,133,136,140,136,167,174,112,125,186,143,86,88,169,159,158,160,160,160,161,162,163,109,115,120,123,127,129,130,134,137,141,140,174,168,165,183,153,123,134,104,126,141,160,160,161,161,163,163,163,110,116,120,124,127,129,132,137,139,141,143,171,161,170,158,155,157,145,102,42,56,142,165,162,163,164,163,164,112,117,121,126,127,130,134,139,140,140,147,154,148,153,156,150,141,132,80,27,16,91,178,163,163,164,164,164,112,117,122,126,129,131,132,138,138,153,158,142,137,149,147,141,137,115,66,29,21,38,110,170,163,164,164,163,111,116,122,126,129,131,134,137,142,186,167,145,152,138,129,117,90,93,70,30,14,41,38,119,174,163,165,163,111,117,123,127,130,132,135,140,140,179,180,163,155,119,83,34,34,110,69,27,4,42,41,110,176,164,166,165,112,117,123,126,130,133,135,140,141,170,176,156,137,120,84,18,39,113,63,23,23,50,57,158,169,166,167,167,113,118,123,128,131,133,135,139,140,172,177,146,165,115,34,6,70,58,14,13,52,54,98,176,166,168,168,169,112,118,124,129,131,132,136,140,140,170,170,158,154,101,39,0,13,0,2,25,61,60,152,169,167,167,167,168,114,118,124,127,131,133,136,141,141,170,166,167,151,101,56,0,0,9,41,53,49,93,175,165,168,168,167,167,115,121,124,127,131,134,137,141,143,172,166,168,149,98,63,3,4,45,64,70,48,140,175,168,169,169,168,167,116,120,125,129,133,135,139,140,145,172,169,166,142,98,65,12,22,58,69,59,83,176,166,170,170,169,169,169,116,120,125,130,132,135,138,140,146,174,166,156,133,94,63,20,29,64,70,48,121,178,167,170,171,171,170,170,115,119,126,131,132,136,140,141,151,173,153,145,127,91,64,37,32,65,63,50,156,171,168,170,170,171,170,171,115,120,125,131,132,135,140,141,152,171,150,141,121,94,72,46,37,62,49,85,177,168,170,170,171,172,173,173,116,121,126,131,133,135,141,140,156,171,151,145,122,99,79,52,40,51,49,151,173,170,171,172,173,174,174,173,116,121,126,132,132,135,142,139,162,173,151,140,123,106,76,51,44,36,116,175,168,171,171,172,173,175,174,174,116,122,127,132,135,138,140,142,171,164,149,133,119,100,61,53,37,107,175,168,170,170,171,172,174,175,175,174,116,122,127,132,135,140,137,159,174,157,145,122,100,81,61,41,83,177,168,170,170,170,171,172,174,175,175,174,117,123,128,132,133,138,136,169,165,156,139,115,91,80,60,39,149,174,168,171,171,172,173,173,173,175,175,175
8,178,179,181,181,182,183,184,184,185,185,183,183,185,184,185,185,184,184,182,180,178,176,175,174,172,172,169,167,181,182,182,183,184,186,187,188,188,187,186,187,187,186,188,186,185,184,183,182,180,178,177,177,174,173,171,169,182,184,184,186,189,188,189,189,189,193,202,164,188,189,189,189,188,187,185,184,183,181,180,179,177,175,173,172,185,185,186,187,190,190,191,192,186,207,211,136,189,193,191,191,190,188,187,187,186,185,182,180,179,179,177,175,186,187,189,189,191,192,192,195,187,217,206,135,195,191,195,195,190,192,189,187,188,184,185,184,181,181,179,178,188,190,192,193,194,194,194,197,189,224,213,143,200,210,183,188,203,184,184,192,187,195,183,176,187,182,181,180,191,192,194,195,195,196,195,198,191,231,210,141,223,241,180,156,227,180,148,193,178,209,180,148,192,183,184,181,192,194,195,196,196,197,196,199,191,233,212,142,239,246,197,148,217,192,134,188,181,198,189,135,191,188,184,182,194,195,196,197,198,199,199,202,195,231,231,181,242,251,207,146,207,198,123,190,182,166,201,144,162,191,186,184,196,197,197,199,201,202,201,203,198,236,227,230,234,240,210,139,191,193,120,197,173,123,184,180,133,167,193,185,196,197,199,201,202,202,202,200,207,239,225,228,231,225,200,131,192,182,124,196,151,115,170,201,130,162,195,186,197,198,200,202,203,204,206,198,222,240,201,204,202,211,215,136,187,176,110,162,141,119,195,209,134,180,193,190,198,201,202,203,204,206,205,200,231,246,182,175,172,179,220,133,190,180,96,165,126,142,221,192,135,194,194,190,201,202,204,204,206,205,208,202,236,247,200,157,165,168,176,166,194,166,123,173,135,196,219,159,140,202,195,196,202,204,205,206,207,207,210,206,238,248,209,168,145,164,183,209,183,179,203,207,202,198,187,138,155,197,187,164,201,204,205,206,207,208,211,206,238,250,218,183,149,159,194,206,214,234,240,226,198,168,151,125,117,118,108,93,202,203,206,206,206,208,210,205,237,251,226,200,164,155,196,227,245,243,230,214,185,150,126,108,107,103,95,91,203,204,205,207,209,210,211,206,235,251,238,215,188,170,200,236,245,234,220,196,165,133,112,104,102,94,93,93,205,206,205,210,211,209,212,208,228,251,244,224,204,179,202,238,239,223,203,173,139,113,99,93,74,64,50,38,205,208,209,209,211,211,213,211,218,251,248,228,203,184,197,230,226,204,183,147,115,96,86,78,65,52,48,34,205,207,209,208,210,212,214,216,220,251,241,219,197,182,193,212,202,180,160,122,99,94,87,72,53,42,44,39,210,212,214,213,215,215,224,184,177,251,206,200,183,173,192,195,176,153,126,95,86,88,90,86,61,38,34,37,180,184,185,188,191,192,210,113,91,239,200,198,181,180,186,178,152,124,93,63,69,80,76,87,82,49,29,31,111,109,106,108,109,110,122,111,50,152,208,198,189,179,168,160,130,100,48,32,46,67,63,73,89,65,36,26,109,108,112,111,110,108,112,125,105,105,157,178,178,160,146,131,102,67,6,11,43,58,55,59,82,77,47,26,114,113,116,116,118,116,122,122,101,108,106,115,136,135,117,113,78,28,0,38,73,77,43,50,71,82,61,33,117,114,116,117,118,116,125,123,101,99,98,89,86,89,90,90,61,11,22,65,85,76,35,43,60,79,70,46,117,114,117,120,120,119,128,119,104,102,98,93,82,73,69,64,59,48,49,50,50,40,23,33,51,69,74,55
8,171,173,174,175,175,176,177,177,178,177,176,176,177,177,178,178,177,177,175,173,172,169,169,168,166,166,164,162,174,175,175,176,177,178,179,180,180,180,178,180,179,179,180,179,178,177,176,175,174,172,171,171,168,167,166,164,175,177,177,178,181,181,182,181,181,185,193,160,181,181,182,182,180,180,178,177,176,174,173,172,171,169,168,166,177,178,179,179,182,182,183,184,179,197,201,134,181,185,183,183,182,181,179,179,179,177,175,174,173,172,170,169,178,179,181,182,183,184,184,187,179,206,196,134,187,183,187,187,182,184,182,180,181,177,177,177,174,174,173,171,180,182,184,185,186,186,186,188,181,212,202,141,191,200,176,180,194,177,177,184,179,186,176,169,179,175,175,173,183,184,186,187,187,188,187,189,183,218,200,139,211,227,174,153,215,174,145,185,172,199,173,145,184,176,177,175,184,186,187,187,188,188,188,190,183,220,202,140,226,232,189,146,206,184,133,181,174,189,181,134,183,180,177,175,185,187,187,188,189,190,190,193,187,218,218,175,228,236,197,144,197,190,123,182,175,161,192,142,157,183,179,177,187,188,188,190,192,193,192,193,189,223,214,217,221,226,200,137,183,185,120,189,167,123,177,174,132,162,185,178,188,188,190,192,193,193,193,191,197,226,213,216,218,213,191,130,183,175,124,187,148,116,164,192,130,158,186,179,189,189,191,193,194,195,196,190,210,227,192,195,193,201,205,134,179,170,112,157,139,120,186,199,133,173,185,182,189,192,193,194,195,196,196,191,218,231,176,169,166,173,208,132,182,173,99,160,126,140,210,184,134,186,185,182,191,193,194,195,196,196,198,193,223,232,191,153,160,163,170,161,186,161,123,167,133,187,208,155,138,193,186,188,193,194,196,196,197,197,200,196,225,234,199,162,143,160,176,199,176,172,193,197,193,190,180,137,151,188,180,159,192,194,195,197,197,198,201,196,225,235,207,176,146,155,186,197,204,221,226,214,189,163,148,125,118,119,110,96,193,194,196,196,196,198,199,196,224,236,214,191,159,151,187,215,231,229,217,204,178,147,126,110,109,105,99,95,193,194,196,198,199,199,200,196,221,236,225,204,181,165,191,223,231,221,208,188,160,132,114,107,104,98,97,96,195,196,196,199,201,199,202,198,215,236,230,212,195,172,193,224,225,211,194,167,137,115,102,96,80,71,59,48,195,198,199,199,201,200,202,200,207,236,233,216,194,177,188,217,214,195,176,144,116,99,91,83,72,60,57,44,195,197,198,198,200,202,204,205,209,236,227,208,189,175,185,201,193,174,156,122,102,97,92,78,62,52,53,49,200,202,203,203,205,204,212,177,171,236,196,191,176,167,184,186,170,150,125,98,90,92,94,91,69,48,45,47,174,176,178,180,183,184,200,114,94,225,191,189,175,173,178,171,149,124,97,70,75,85,81,91,87,58,40,42,112,111,108,110,111,111,122,112,59,148,198,189,181,173,163,156,129,103,57,43,55,74,70,79,94,72,46,37,111,110,113,112,112,110,114,125,107,107,153,172,171,156,144,130,105,74,20,25,53,65,63,67,87,82,56,37,115,114,117,117,118,117,122,122,104,110,108,116,134,134,118,115,84,39,14,48,79,82,53,59,77,87,68,44,118,115,117,118,118,117,125,123,103,102,101,93,91,93,94,94,68,24,34,72,89,82,45,53,68,84,77,55,118,115,117,120,121,120,128,120,107,104,101,97,87,79,75,71,66,57,58,58,59,50,35,44,60,76,80,63
2,153,156,159,161,161,162,164,165,165,164,164,164,162,162,163,162,161,162,163,159,154,153,151,150,149,147,146,143,156,158,161,162,162,164,166,167,166,167,167,167,169,169,167,165,163,156,146,155,165,157,154,151,150,147,147,145,158,159,162,163,164,165,166,168,167,168,168,154,127,128,137,134,121,113,94,71,111,153,161,157,152,151,148,146,159,162,165,166,165,166,168,168,168,170,169,145,117,114,120,122,113,98,88,59,39,80,112,135,157,152,151,149,159,163,165,166,168,168,170,170,171,174,156,132,136,134,133,129,116,88,64,70,75,69,74,85,157,152,151,149,160,163,165,167,169,170,171,170,172,168,134,125,141,142,130,119,115,89,77,85,102,99,61,73,159,153,152,150,161,164,166,168,169,169,171,172,174,164,144,136,128,112,99,124,135,63,43,65,76,68,58,127,162,155,152,151,163,165,168,169,170,171,172,173,175,165,138,137,129,112,102,99,70,85,145,117,94,102,156,165,156,156,154,152,164,167,167,169,171,173,174,175,173,162,158,145,121,97,69,64,88,159,178,175,173,171,163,163,165,164,159,153,165,167,167,170,174,174,174,174,152,152,147,124,87,24,92,171,177,175,168,167,167,164,168,149,107,90,134,159,165,167,170,171,173,173,176,170,143,140,122,89,36,0,99,190,171,174,173,170,167,170,149,80,46,38,72,161,165,168,170,173,173,175,174,162,135,121,86,35,15,12,87,187,172,175,173,169,173,154,91,56,50,42,67,163,166,170,170,172,175,176,170,161,144,112,46,10,24,15,103,187,172,175,171,174,160,93,62,61,51,31,116,165,167,169,172,172,174,176,169,164,143,111,49,13,26,15,85,195,174,174,175,177,101,44,46,53,36,64,166,157,167,169,173,174,175,175,172,163,139,104,42,17,27,20,19,131,182,183,175,122,63,30,33,37,34,145,165,157,168,171,173,176,176,176,168,161,138,91,37,32,28,22,22,23,74,137,94,56,50,51,33,31,131,170,159,160,168,170,174,176,178,175,168,163,137,90,54,42,26,25,29,34,31,38,33,34,46,45,38,139,174,165,162,160,168,170,174,176,178,176,167,159,137,101,60,39,25,25,26,34,41,45,38,40,49,34,135,176,165,166,164,160,167,170,174,176,178,176,160,151,137,98,65,45,23,24,26,33,40,47,45,38,23,103,184,166,167,166,163,160,167,170,174,176,178,175,157,148,132,97,75,45,20,24,30,34,40,49,54,33,48,170,173,169,166,165,163,161,168,171,175,176,178,173,157,148,127,101,73,43,23,23,30,36,42,47,50,27,139,182,170,170,168,166,165,163,168,171,175,176,179,172,153,155,140,101,71,51,24,22,32,39,45,51,35,52,181,174,174,172,169,167,166,163,168,170,174,176,180,167,152,165,145,99,70,51,26,20,35,41,46,50,17,121,185,172,172,171,169,166,164,162,166,169,171,174,177,163,155,164,136,95,68,54,30,17,36,43,46,24,55,180,173,172,171,169,167,165,163,162,165,167,169,172,176,159,156,156,128,89,66,55,33,19,34,42,32,23,151,180,171,171,170,168,167,164,161,160,165,168,169,171,176,158,154,148,118,86,69,54,35,20,33,34,14,125,184,171,173,170,168,167,166,164,161,159,165,166,168,171,173,155,149,133,105,82,65,50,31,22,24,23,118,186,173,174,172,170,168,168,166,163,161,159,162,165,168,170,170,154,138,125,100,75,62,47,34,19,32,145,184,174,174,173,170,168,166,164,163,162,160,158
2,142,141,141,142,142,141,141,140,139,138,136,136,136,134,133,132,130,130,129,126,127,127,125,124,123,122,120,118,143,143,143,144,144,143,143,142,141,141,139,138,136,136,135,135,134,133,131,134,130,129,127,126,125,123,122,121,146,146,147,147,146,145,144,143,143,142,141,140,140,140,138,133,126,119,86,102,129,130,132,127,127,124,123,123,148,148,148,148,148,147,146,145,145,145,143,142,137,131,127,119,99,77,43,30,85,100,93,132,128,127,125,123,150,150,149,150,150,149,148,148,147,147,146,141,127,124,119,89,54,33,21,29,59,70,40,120,131,128,128,126,152,152,152,151,151,151,150,150,150,149,146,133,131,114,77,28,16,16,12,14,26,33,19,54,138,130,129,128,154,154,153,153,153,153,151,152,150,150,140,137,119,63,24,11,5,14,11,3,9,17,11,75,141,132,131,129,155,155,155,156,156,156,154,152,153,147,139,135,86,23,18,11,12,7,10,33,32,37,65,132,138,134,133,131,158,157,158,157,157,156,155,154,155,143,141,119,55,19,18,13,10,33,91,139,133,136,144,140,137,136,135,133,160,160,160,160,159,158,157,158,151,141,135,84,26,10,19,10,89,148,151,146,146,144,141,141,140,138,136,134,160,160,160,161,161,160,161,155,139,150,129,69,32,18,15,28,150,150,145,146,146,145,143,143,140,140,138,136,162,161,162,162,161,161,164,139,146,155,119,68,42,25,4,98,158,147,149,149,148,147,144,144,142,141,140,138,163,163,164,164,162,165,156,135,156,144,110,70,38,16,44,158,153,153,153,152,150,148,146,146,144,142,140,140,164,164,165,165,164,166,142,140,163,136,96,57,29,10,77,168,151,155,155,153,150,149,148,147,144,143,142,141,165,165,166,166,166,162,133,155,163,120,87,56,29,9,106,167,154,155,155,153,151,149,147,148,149,147,142,142,168,167,166,165,170,148,140,168,151,103,84,53,23,17,150,161,157,157,156,154,151,152,153,145,131,132,148,142,168,167,167,169,168,137,160,164,129,97,91,50,23,11,110,171,159,156,154,154,160,146,112,90,82,72,98,146,168,167,168,172,153,145,167,147,111,108,87,44,17,20,29,80,157,161,161,158,123,74,67,80,81,56,70,145,170,169,169,170,144,156,158,136,110,105,76,34,13,23,37,26,78,164,131,91,62,59,83,80,50,89,145,146,171,170,173,160,147,155,151,127,107,97,59,24,18,35,39,40,37,56,51,58,72,72,64,40,103,155,149,146,173,172,172,150,153,152,142,117,102,82,49,21,35,47,46,45,45,34,52,64,58,45,35,104,160,150,149,148,173,175,162,154,156,150,133,113,90,73,44,26,47,47,45,45,42,38,42,37,51,99,139,159,153,154,151,150,174,168,156,159,157,148,131,98,74,70,40,34,46,44,41,40,31,16,31,96,148,168,159,153,155,154,153,151,175,156,156,147,151,143,115,83,69,57,30,37,43,44,39,20,34,77,138,169,163,159,158,158,157,155,154,152,162,150,140,144,140,125,93,60,48,33,32,36,36,28,11,55,149,174,168,162,162,161,161,159,156,155,154,153,153,147,131,138,127,114,80,48,41,33,24,12,15,34,98,169,170,165,164,163,163,162,161,160,159,155,154,154,153,140,132,139,133,119,66,46,40,25,45,94,128,162,179,169,167,167,165,164,163,162,161,161,159,157,155,154,149,137,131,138,130,109,54,44,31,51,159,183,179,171,166,168,168,166,166,165,162,161,161,160,158,157,155,153
11,127,132,137,144,147,151,155,159,162,163,165,166,167,171,170,170,170,170,170,170,170,169,167,171,136,113,153,192,129,133,139,145,149,153,156,159,162,164,166,166,183,157,169,170,170,170,169,169,169,168,166,171,143,128,154,196,133,137,143,149,152,156,159,163,166,167,169,166,203,137,152,176,170,171,171,170,169,168,167,164,155,194,187,191,136,141,148,154,158,162,165,169,171,172,173,170,217,144,130,181,172,173,173,171,171,170,169,162,181,165,189,192,141,145,153,158,163,167,171,174,176,178,179,177,219,140,120,185,177,177,177,176,175,174,172,172,174,145,198,192,144,150,159,164,168,172,176,179,183,184,185,185,218,132,127,191,182,184,182,182,180,179,177,173,176,193,187,192,148,153,163,171,175,177,182,185,188,190,190,195,225,128,134,198,187,189,188,187,186,183,181,178,179,165,152,194,149,157,168,175,180,184,188,191,194,196,192,215,228,107,151,204,193,193,193,192,191,189,187,184,183,174,174,192,153,161,174,180,184,189,194,197,199,202,196,222,210,106,169,209,199,199,199,197,196,194,191,189,187,184,188,198,156,165,177,184,188,193,197,202,204,202,218,221,134,98,179,212,203,203,202,202,201,199,196,194,192,188,191,208,159,168,181,188,193,198,202,205,205,208,207,211,140,98,187,214,208,208,208,207,206,203,201,199,196,192,192,209,163,172,184,191,195,201,205,211,230,227,127,125,161,112,193,217,211,212,212,211,210,207,205,204,199,197,200,209,165,176,187,194,199,202,208,196,218,213,138,102,154,125,176,224,214,215,216,214,212,210,208,206,205,193,180,213,167,178,189,198,200,207,233,180,113,149,174,116,132,126,155,229,216,219,218,217,217,215,214,210,220,137,108,217,169,181,193,196,211,234,222,197,154,109,158,133,108,132,126,225,220,222,222,218,213,201,186,183,180,101,82,114,172,184,193,210,235,197,153,181,196,128,112,123,99,147,120,209,231,223,216,208,213,193,171,169,147,102,89,79,173,186,194,232,220,160,122,113,184,135,96,116,89,163,160,164,216,214,220,219,210,183,156,135,116,93,85,85,175,187,197,229,200,143,116,82,154,143,99,128,82,127,170,114,176,220,223,196,157,125,90,72,82,78,81,84,177,189,196,219,182,132,109,89,123,153,107,143,104,133,160,148,190,203,175,128,99,79,69,71,72,72,73,82,178,191,197,219,201,151,123,104,104,132,126,152,133,198,174,144,165,147,104,70,78,84,69,67,69,70,79,52,178,190,198,224,206,158,135,113,111,123,165,199,204,200,158,132,129,74,68,72,64,80,80,62,61,68,68,47,178,190,198,225,211,175,147,118,124,134,204,233,220,180,140,120,83,68,56,78,65,63,80,73,57,57,58,60,177,191,198,221,211,185,150,127,135,142,210,218,189,157,130,88,44,77,63,59,75,63,66,74,67,56,58,58,182,195,206,216,206,192,157,142,141,145,193,208,173,138,119,85,41,58,78,57,66,73,61,62,71,57,56,57,152,160,165,177,207,196,163,156,142,144,177,195,167,134,97,76,56,43,75,71,57,67,68,57,62,65,50,56,126,127,122,138,206,192,170,163,142,132,166,169,144,110,56,65,70,36,60,75,65,61,64,60,54,64,53,46,132,133,130,145,211,196,176,161,142,126,145,137,113,73,44,57,78,42,45,73,68,64,61,58,51,55,57,46,132,133,133,137,207,198,169,154,139,128,134,125,71,57,55,49,77,57,34,62,72,62,60,58,55,52,49,51
2,128,130,131,133,136,139,139,139,139,139,138,139,138,138,136,131,131,133,131,133,131,130,129,128,128,127,125,123,130,132,134,136,138,139,140,141,141,140,139,141,140,134,139,157,170,160,136,126,128,132,133,130,130,129,128,125,131,132,134,139,139,140,141,141,142,142,143,138,142,163,190,195,177,165,165,108,81,78,108,132,130,130,129,127,133,135,137,139,141,142,142,141,143,144,139,153,204,189,189,188,157,120,107,72,40,42,34,111,136,131,129,129,135,137,140,140,142,144,145,145,144,147,135,193,201,182,190,144,91,58,52,42,39,42,21,90,141,129,131,132,136,138,140,142,143,144,146,147,147,144,147,214,199,184,128,75,34,24,31,30,41,43,68,125,137,134,133,132,138,139,141,143,146,147,147,149,149,140,168,224,195,117,56,35,20,35,39,83,126,124,138,140,138,136,134,134,139,140,142,146,147,148,149,151,153,141,181,219,165,74,25,32,30,39,103,146,145,144,140,139,137,137,136,135,141,142,145,147,147,149,149,151,153,145,209,203,118,40,14,24,26,46,149,142,141,141,141,139,138,138,137,136,142,145,146,147,150,151,151,154,146,173,222,147,61,14,12,8,24,52,147,144,144,144,142,141,141,139,137,137,141,144,146,148,151,152,152,153,154,218,191,104,44,26,31,21,11,73,155,144,146,145,143,142,142,140,138,138,142,145,148,150,153,153,156,147,200,229,162,95,56,45,42,38,20,95,158,145,147,146,144,143,143,142,140,139,145,147,149,151,155,156,156,158,237,214,144,83,51,55,45,44,31,103,159,146,148,147,145,143,145,144,139,138,147,149,150,154,156,157,151,180,245,193,118,68,55,54,42,47,37,107,161,148,150,148,148,146,145,147,146,141,148,150,152,156,157,162,150,207,240,175,103,60,49,46,41,48,39,115,162,150,151,150,151,150,149,136,123,134,149,151,153,157,159,160,157,237,225,160,97,57,45,45,46,49,32,112,164,151,152,151,152,148,127,126,82,86,150,153,156,158,163,152,189,250,203,147,89,53,41,42,40,40,25,78,168,154,154,155,150,122,133,109,63,132,153,155,158,160,164,156,228,238,189,138,85,48,38,35,35,43,34,39,157,158,156,158,116,118,129,62,106,154,155,157,159,164,157,180,249,221,177,128,77,45,34,30,38,48,48,27,101,173,155,110,102,126,85,60,148,147,156,158,160,166,157,208,244,207,164,120,74,43,32,33,40,44,50,43,38,88,100,97,115,104,60,86,157,147,157,159,161,165,161,229,231,195,161,117,71,44,31,42,42,38,43,46,40,43,88,125,112,77,72,135,154,149,158,160,164,162,176,235,218,190,161,111,73,50,37,52,50,48,54,55,51,70,111,122,96,78,140,157,152,151,159,161,166,160,204,234,212,198,166,118,87,57,43,62,66,72,69,69,61,75,113,90,83,144,162,157,153,150,159,163,165,165,231,234,215,199,169,127,94,63,51,72,81,86,72,67,65,73,77,89,152,162,158,159,154,152,161,165,163,179,238,228,213,194,152,111,91,69,58,74,85,86,75,67,59,63,88,156,166,161,160,157,157,154,161,168,155,203,231,220,206,171,123,88,77,69,68,81,82,78,73,56,89,142,162,165,162,160,159,159,156,152,163,161,184,232,215,200,174,129,89,81,76,66,69,73,72,69,58,100,167,170,164,164,163,160,159,159,155,152,161,170,237,216,193,177,149,95,84,85,78,72,70,64,63,71,122,172,170,165,166,165,162,162,161,159,157,154
18,178,179,180,180,180,181,182,182,182,181,181,181,180,179,179,178,177,177,176,175,174,172,173,171,169,168,167,166,179,180,181,181,182,183,184,184,183,185,184,182,180,179,179,178,179,179,178,176,175,174,173,172,170,170,168,167,180,181,182,182,183,185,185,185,185,185,185,184,184,185,187,183,181,183,184,183,176,176,176,174,171,169,168,167,181,182,183,183,186,186,186,186,187,186,186,185,187,174,151,175,187,159,133,150,184,178,167,175,176,171,170,169,181,183,185,186,186,187,188,188,188,188,190,190,190,157,112,105,154,148,112,79,149,152,117,109,162,176,172,172,182,183,187,187,187,188,190,189,190,184,154,157,186,162,132,100,108,179,121,100,82,123,118,80,98,182,172,173,184,185,187,189,188,189,190,189,193,184,144,124,129,174,140,113,94,168,129,112,105,101,112,98,66,159,178,171,187,188,188,190,190,190,191,192,195,190,168,152,116,135,160,117,90,123,143,126,119,111,128,113,64,151,182,173,187,188,189,190,191,192,194,193,193,176,183,152,135,97,143,126,98,95,146,136,124,123,122,106,64,156,182,176,188,188,189,190,191,193,194,194,201,152,150,154,123,73,116,133,98,80,130,123,120,119,119,108,63,144,186,176,188,188,190,191,192,194,194,197,193,131,104,155,97,62,99,109,78,66,113,87,102,149,143,114,70,127,190,177,188,190,192,193,194,195,194,199,189,152,120,143,98,67,88,89,69,59,89,69,81,171,150,123,79,108,191,178,190,191,192,193,194,195,194,200,195,174,137,128,116,76,85,99,74,57,88,72,59,145,158,133,93,86,188,180,191,192,193,194,194,195,195,200,196,163,133,108,96,65,87,107,71,56,80,113,152,152,175,146,103,69,174,184,192,193,194,195,195,196,196,201,181,144,123,103,82,67,70,76,64,71,108,167,174,160,156,143,101,63,162,188,193,193,195,195,195,198,198,200,192,169,143,118,94,90,85,83,105,134,168,178,170,164,138,121,91,62,168,187,193,194,195,196,197,199,198,200,197,177,150,120,95,90,98,114,140,164,185,184,164,148,129,102,73,82,189,183,194,194,194,196,199,200,200,201,199,182,157,129,109,101,101,112,159,180,191,179,154,137,120,94,54,124,195,182,195,195,196,198,199,200,201,201,197,186,163,139,119,111,104,124,177,186,185,170,147,128,113,84,58,171,191,184,194,197,197,198,200,200,202,199,193,182,161,141,127,118,111,133,186,180,174,162,142,120,106,69,87,196,187,186,195,198,198,199,200,200,202,200,186,174,163,145,131,130,117,140,180,176,165,147,135,115,97,55,129,200,186,187,196,198,199,200,200,201,202,202,187,175,166,150,138,140,122,146,172,171,159,136,123,106,84,57,174,192,187,187,197,198,199,201,203,204,204,206,196,173,165,157,146,137,119,141,168,162,152,131,109,96,61,95,200,187,189,189,198,199,200,202,203,203,204,206,202,180,172,163,150,135,118,127,157,151,138,118,98,83,50,162,198,190,190,189,198,200,201,203,203,203,204,205,205,192,177,165,154,144,129,124,142,142,126,107,92,58,91,203,191,192,191,190,198,199,201,203,203,205,205,204,204,200,186,169,152,140,132,125,134,136,119,101,80,48,163,201,193,192,191,190,200,200,201,202,203,205,204,204,204,202,190,165,152,148,146,140,131,129,112,96,60,97,204,192,194,193,193,190,201,201,202,203,203,204,205,206,202,200,189,169,164,162,148,140,125,124,105,85,56,154,204,195,194,194,193,191
16,131,144,152,157,163,170,177,183,187,192,195,200,205,207,211,214,216,217,218,220,222,222,222,223,225,225,226,225,136,149,156,160,166,174,181,188,192,195,198,204,208,212,215,219,221,221,226,228,227,228,227,229,229,228,229,229,139,152,159,163,170,178,185,191,196,199,204,208,212,216,219,223,226,223,218,215,220,228,235,233,231,233,234,233,141,154,160,166,174,181,188,195,198,203,206,210,214,219,224,219,206,195,179,160,152,153,177,224,239,236,237,238,144,158,164,169,175,184,192,199,203,208,213,216,217,212,200,186,180,185,172,149,138,126,106,125,209,241,239,240,147,160,165,171,179,187,195,202,204,207,207,198,190,183,178,181,173,165,156,129,127,130,104,89,116,230,246,244,148,161,167,171,181,190,198,200,218,210,189,162,171,172,183,167,155,159,136,110,111,112,98,97,86,184,253,245,152,164,170,175,185,193,199,216,244,224,226,163,183,204,186,147,157,142,121,105,103,99,95,97,88,158,253,247,155,165,172,177,188,195,203,225,217,222,222,177,220,223,143,140,138,110,108,98,94,93,98,100,88,180,255,251,159,169,174,181,190,197,207,201,208,233,202,193,244,214,145,135,113,97,95,94,93,90,94,99,96,216,255,254,161,172,177,183,191,199,208,206,218,240,216,211,238,191,174,152,118,93,89,92,93,92,94,90,130,246,255,255,162,174,179,184,194,202,210,215,216,236,229,212,232,207,182,146,114,93,86,89,94,96,95,87,171,255,255,255,164,177,179,187,197,207,213,219,212,236,230,225,228,200,156,117,98,83,88,93,97,97,94,92,212,255,255,255,168,176,180,189,199,208,216,223,219,233,237,233,206,168,120,94,69,64,92,103,98,98,93,104,243,255,255,255,170,179,183,191,200,209,217,223,225,233,238,219,176,131,93,45,25,72,98,107,100,98,86,124,255,255,255,255,174,182,185,194,204,212,219,225,229,225,221,185,142,112,44,7,21,74,101,117,112,103,78,145,255,255,255,255,175,183,188,196,206,213,220,226,231,215,193,152,123,85,17,15,20,57,96,119,123,103,74,169,255,255,255,255,176,185,190,197,208,214,222,228,234,218,170,129,106,64,33,22,39,40,84,129,125,98,79,184,255,255,255,255,179,185,190,199,210,217,224,229,237,214,146,96,81,83,78,57,55,64,100,138,113,101,82,196,255,255,255,255,183,187,191,201,211,218,226,230,236,206,123,118,97,70,81,76,75,121,124,143,106,101,84,214,255,255,255,255,183,188,192,203,213,221,225,236,227,175,98,238,245,163,126,99,141,143,138,139,100,99,83,222,255,255,255,255,183,187,193,203,212,220,223,221,201,112,160,255,253,251,223,182,151,145,161,137,93,96,77,211,255,255,255,255,183,187,193,204,214,220,219,208,149,106,244,252,251,237,213,179,143,166,176,142,93,92,77,181,255,255,255,255,183,188,194,204,212,227,234,184,93,202,255,251,250,238,208,181,145,178,185,145,95,88,90,103,150,127,164,215,183,188,196,201,223,255,198,101,161,250,245,252,247,235,203,179,145,174,195,154,86,91,95,75,53,55,132,159,185,188,195,199,248,200,121,176,248,242,248,250,244,231,207,181,145,151,196,171,91,91,92,82,54,96,91,80,184,189,196,205,220,179,211,244,238,244,249,252,241,228,205,179,147,129,180,187,108,89,90,72,18,67,87,75,184,190,198,208,216,231,234,233,240,244,248,252,237,226,206,172,142,129,138,175,131,91,90,58,13,50,87,67
4,189,190,191,191,191,190,189,189,189,189,189,188,187,186,187,186,184,184,183,182,180,181,180,179,180,178,176,175,192,192,192,192,193,192,190,189,189,190,188,188,188,186,187,187,186,186,184,183,182,181,181,180,179,179,179,176,193,194,194,194,193,192,192,192,192,191,189,189,188,187,188,188,186,186,186,183,182,182,182,180,179,179,180,178,194,195,194,195,195,194,194,193,193,193,192,192,190,191,190,189,189,187,185,184,184,183,182,181,181,181,181,179,196,196,195,195,196,195,194,193,188,181,185,189,170,162,182,184,172,172,187,187,187,184,182,183,181,182,181,180,197,197,197,197,197,196,198,202,177,160,122,138,162,122,103,159,154,112,128,192,188,187,184,184,183,182,182,180,198,199,197,198,197,194,209,213,184,148,102,81,149,115,72,127,146,106,73,110,129,149,184,184,185,183,182,181,200,200,200,199,196,202,214,189,192,132,89,82,144,105,65,123,141,99,76,51,77,77,120,188,184,184,182,182,201,200,201,200,198,204,213,176,191,135,121,82,150,141,62,115,167,125,79,50,74,70,84,189,184,185,185,182,201,200,201,202,200,204,204,160,182,175,154,87,178,169,65,115,209,146,83,58,114,98,100,191,186,186,186,184,201,201,202,202,199,212,224,194,164,170,127,84,176,147,61,105,197,139,83,87,147,140,97,179,188,187,186,184,202,202,201,203,201,221,213,188,159,129,91,67,100,89,102,177,151,138,145,136,144,132,92,126,195,187,187,185,203,203,205,205,205,217,195,169,137,114,102,88,66,62,116,198,159,147,162,152,147,133,116,93,177,190,187,187,204,203,205,202,210,232,212,187,159,113,87,80,75,80,78,148,155,142,155,144,130,158,149,99,132,195,187,187,204,204,206,204,214,233,213,195,153,106,93,84,75,75,82,106,116,129,142,99,130,179,166,124,90,191,189,188,207,207,208,205,220,232,216,195,147,105,102,85,77,84,101,114,124,150,163,147,143,179,175,128,74,165,193,190,207,208,208,205,222,230,215,176,143,116,102,89,78,110,149,176,183,186,178,181,157,138,146,117,74,127,196,189,208,208,208,207,222,230,211,176,153,111,98,108,140,180,193,194,185,183,166,155,157,117,114,103,82,98,196,188,209,209,209,209,224,229,209,180,160,133,129,156,182,198,193,191,180,170,158,142,141,117,103,99,85,83,195,190,209,209,210,204,209,223,209,188,174,145,145,175,176,203,189,183,173,166,153,136,125,111,97,91,66,114,197,191,211,212,212,121,95,120,168,195,169,145,135,168,169,183,179,173,173,156,132,122,114,96,80,63,88,188,194,193,212,219,181,77,75,69,74,88,87,85,95,132,152,164,168,167,158,138,117,111,96,78,57,74,180,199,196,195,214,217,119,74,71,72,70,40,25,44,44,50,71,100,127,154,144,129,111,94,74,54,72,176,200,196,197,195,222,171,76,75,69,69,69,58,13,34,41,40,38,35,41,67,92,100,85,67,47,82,181,203,198,198,198,197,214,106,72,67,61,62,67,64,12,22,37,40,36,34,32,29,31,44,43,39,109,193,205,200,200,199,198,197,154,74,75,63,58,61,66,56,9,19,33,36,32,30,33,31,30,28,8,85,211,204,202,201,200,200,200,197,89,71,56,83,81,44,70,36,6,21,32,32,28,29,29,28,30,23,12,20,170,211,203,203,202,201,200,199,71,62,52,76,104,56,58,14,10,24,27,27,24,26,26,28,29,17,14,2,110,216,204,204,201,201,200,200
22,108,116,120,123,131,137,141,145,148,152,154,155,158,160,159,160,160,160,158,157,158,157,155,154,152,151,150,149,109,117,121,125,133,137,143,146,150,152,154,161,160,161,162,162,160,162,165,160,160,160,157,156,154,153,152,151,111,120,124,128,134,139,146,150,151,171,140,119,167,162,164,162,166,146,139,166,160,161,159,161,161,155,154,152,113,122,126,129,135,142,147,151,150,191,145,81,166,164,166,164,177,131,76,164,164,161,164,143,140,160,156,154,114,122,126,130,137,143,148,153,152,195,156,80,164,167,167,169,172,117,74,170,164,165,169,111,77,163,158,156,116,124,128,133,139,144,150,156,152,193,168,85,160,171,168,171,165,101,98,177,162,171,165,101,87,169,158,158,116,125,128,133,141,148,153,157,153,198,186,96,148,176,168,163,157,85,125,177,169,177,145,70,132,171,160,160,117,126,129,135,142,150,154,159,155,196,182,95,136,180,168,157,140,70,146,174,183,178,118,82,170,165,162,162,119,128,131,136,143,151,156,161,157,194,180,96,119,183,168,168,145,67,161,179,176,148,90,125,176,165,165,164,121,130,133,138,146,152,157,162,160,187,199,128,108,182,166,169,124,79,185,198,174,109,74,167,170,169,166,165,122,131,133,139,147,153,157,162,165,177,200,131,91,179,147,148,78,100,209,197,165,82,111,182,168,169,168,167,123,131,134,140,149,156,161,164,167,169,199,118,55,135,130,147,133,168,195,174,134,65,163,178,172,171,169,168,125,132,135,141,149,156,162,164,177,147,149,107,78,141,154,154,181,181,175,146,75,100,185,173,174,172,170,169,126,132,136,142,149,157,162,168,187,146,124,110,121,122,136,163,168,168,164,108,64,169,180,175,175,174,172,169,127,135,136,144,152,161,161,180,194,160,169,154,144,85,56,129,149,161,132,72,108,194,177,178,177,176,174,172,128,136,138,145,154,160,162,186,208,168,153,157,145,122,86,51,97,110,82,57,136,193,179,178,178,177,175,174,128,136,139,146,154,160,162,199,199,157,95,87,136,148,128,87,47,57,64,52,165,189,183,181,180,179,176,175,129,135,139,147,156,161,165,205,199,158,94,43,86,156,144,120,84,57,47,51,178,188,185,182,182,180,177,176,129,137,140,148,155,163,165,208,220,162,170,73,110,191,160,127,108,83,38,31,168,192,185,183,182,181,179,177,131,137,140,149,156,164,167,209,218,162,152,79,160,210,170,133,114,85,35,24,166,194,184,184,182,182,182,179,131,137,140,148,156,164,165,208,221,163,139,147,203,177,167,128,100,73,28,42,186,189,184,184,184,184,182,179,130,137,139,147,156,164,163,201,213,181,145,174,213,159,146,148,93,66,19,80,200,184,184,184,183,183,182,178,130,137,139,149,157,165,165,193,211,191,147,180,205,160,142,142,106,54,14,118,201,184,185,184,183,184,182,179,132,137,140,149,157,166,167,187,204,194,150,163,192,155,137,128,89,42,17,157,197,187,188,185,184,184,182,180,130,137,140,148,157,164,170,166,203,186,152,133,159,129,109,96,58,22,49,192,188,187,186,183,182,181,181,180,132,139,142,151,160,169,175,46,130,185,112,100,116,115,91,65,45,23,132,209,195,196,194,191,189,190,189,187,107,111,113,116,119,127,100,23,25,101,106,113,119,131,109,66,44,36,123,132,128,127,129,129,129,129,128,128,83,83,82,84,84,76,34,27,28,20,85,115,115,123,106,58,23,11,71,71,69,68,67,67,65,65,55,37
0,197,198,198,197,197,197,197,198,197,196,194,194,194,194,191,191,190,190,188,187,184,184,183,182,180,180,177,176,199,200,199,200,200,198,198,199,199,197,196,195,196,194,193,191,191,190,190,189,186,186,184,182,180,179,179,178,200,200,200,200,200,198,199,200,199,198,197,197,198,195,195,193,194,189,189,189,188,188,186,184,181,181,180,179,203,202,202,201,200,200,202,201,200,199,199,196,187,199,199,196,196,200,191,191,190,186,186,185,183,182,181,180,202,203,204,204,202,202,201,202,199,204,199,172,129,130,190,160,133,144,198,187,185,193,186,189,187,183,181,180,203,204,204,205,203,203,204,187,151,157,189,161,131,87,116,147,112,73,125,138,107,126,191,166,170,187,181,181,207,205,204,205,203,202,203,182,154,116,137,184,131,96,103,165,125,88,70,133,99,53,122,145,118,192,181,181,207,206,205,204,204,204,203,204,172,146,100,166,140,103,97,163,132,89,85,146,118,65,61,141,103,189,183,183,208,207,205,205,204,210,200,183,181,147,84,150,149,104,94,161,131,89,62,128,109,66,47,129,90,169,190,185,208,208,207,207,207,211,187,137,177,121,74,151,133,88,84,145,114,76,47,114,96,54,49,132,93,112,196,183,209,209,208,209,209,204,162,117,173,108,75,144,109,68,76,132,102,63,60,140,113,46,45,136,124,76,154,191,209,207,208,208,211,205,185,150,168,128,93,136,120,72,78,143,111,51,114,169,114,34,66,140,128,79,98,200,209,210,210,210,212,194,166,141,141,127,90,146,139,72,102,161,124,62,103,152,68,32,125,150,125,61,115,199,210,212,212,214,207,169,136,113,95,77,68,147,129,65,90,162,123,56,6,29,13,88,157,150,102,56,176,191,213,212,213,211,204,179,147,115,84,74,70,84,97,63,41,77,77,76,104,62,75,155,151,133,62,111,203,185,214,213,213,209,199,178,149,115,88,85,93,87,94,100,90,95,137,166,160,153,124,138,137,96,53,178,194,187,214,214,215,213,202,181,154,125,93,82,91,104,126,142,153,170,174,160,145,144,115,111,118,56,96,203,189,190,213,213,213,211,204,181,157,133,107,95,94,108,151,168,179,176,169,154,141,137,106,89,92,36,160,201,192,191,213,215,214,210,206,186,163,141,116,114,103,147,185,182,182,176,165,147,135,129,93,75,41,90,204,193,194,192,214,215,214,211,209,192,169,151,135,129,140,178,188,184,183,174,159,143,126,109,79,36,67,192,198,195,195,194,215,216,215,212,209,194,174,159,147,139,168,181,187,189,181,159,148,134,114,94,44,53,191,201,196,197,195,194,215,216,216,210,206,199,182,165,149,142,177,184,189,186,169,147,133,120,100,58,40,180,205,195,198,198,196,193,215,217,217,209,203,197,184,171,152,143,174,185,176,170,150,132,114,103,67,32,164,210,198,200,198,198,196,194,216,219,219,213,205,201,189,181,165,150,167,177,163,152,135,115,98,66,27,150,213,200,204,201,198,197,195,194,217,217,220,215,209,197,188,182,172,157,164,168,152,134,122,102,63,28,147,216,201,205,201,200,200,198,197,195,218,218,219,213,205,195,199,199,184,167,159,157,136,119,107,71,30,152,220,205,208,205,202,200,200,198,197,196,218,218,218,211,210,193,198,199,177,165,153,146,121,97,85,36,148,222,206,208,208,206,203,202,202,199,198,196,218,218,215,206,201,172,194,183,168,159,147,126,109,90,50,86,223,207,209,207,207,206,204,204,201,200,199,197
6,137,137,137,139,141,140,142,143,143,144,143,142,142,143,142,141,142,142,143,143,144,142,141,141,139,137,138,140,143,144,143,144,145,144,144,144,145,146,145,145,145,145,146,145,147,147,145,145,146,145,144,143,142,141,142,141,146,147,147,147,148,148,148,148,148,150,150,150,150,150,149,151,151,150,149,149,149,149,147,145,147,146,146,137,149,150,150,152,151,152,151,151,152,154,153,152,151,153,153,154,154,151,151,152,151,152,149,149,151,149,152,123,153,153,153,153,154,154,155,155,156,157,155,156,161,156,154,156,155,155,157,157,155,153,158,154,152,152,153,144,157,156,158,157,157,158,158,158,159,160,163,146,131,162,160,161,158,158,152,155,146,156,200,152,148,157,155,150,160,160,161,161,160,162,163,164,163,160,179,130,53,137,152,148,159,159,144,150,152,139,162,119,150,160,156,157,162,163,165,165,163,165,168,168,167,169,183,132,135,157,148,141,158,153,141,122,111,91,88,133,162,159,160,159,165,166,168,168,169,169,172,172,167,167,171,177,183,166,138,129,101,88,76,71,85,122,160,169,163,164,163,160,168,170,170,171,171,172,165,159,162,168,174,172,150,124,101,73,72,92,120,154,171,176,171,166,166,165,164,163,171,172,173,173,175,173,156,152,153,155,140,105,73,57,71,135,168,174,179,175,172,172,172,170,168,168,167,165,174,174,175,173,183,182,177,175,132,96,97,82,57,72,150,180,183,181,175,176,175,175,175,173,171,170,169,169,177,177,177,175,189,191,202,162,96,85,86,103,112,111,100,100,123,157,184,178,178,177,178,176,175,173,172,171,179,179,178,182,196,197,207,145,110,125,96,88,105,116,103,98,92,66,157,187,179,179,181,179,177,176,175,174,180,181,180,193,207,203,203,192,194,173,109,77,91,100,88,81,88,49,136,196,182,182,181,181,178,177,177,176,182,183,183,200,209,202,203,205,209,182,116,72,88,99,101,90,78,56,129,197,183,184,184,184,181,180,180,179,185,185,188,198,204,204,202,202,197,189,160,120,84,68,92,98,93,72,66,191,186,185,185,185,185,184,183,182,186,186,185,203,201,206,201,202,200,202,205,167,97,63,84,92,85,62,82,196,188,187,186,187,188,187,185,185,187,185,186,204,207,209,206,206,201,202,207,160,100,78,79,83,78,60,72,181,194,189,188,189,189,188,186,186,191,183,195,205,208,211,215,206,199,203,187,134,93,85,80,80,76,73,40,150,203,191,190,189,189,188,188,188,193,175,196,206,207,213,209,195,194,186,154,117,96,88,67,75,77,66,76,187,196,193,193,192,191,190,190,189,188,173,198,206,208,210,192,185,184,163,133,107,111,117,69,49,50,58,174,201,193,195,195,194,193,193,190,190,178,183,207,202,201,193,177,175,175,156,132,124,119,123,44,20,55,162,206,195,197,196,196,194,194,193,192,192,171,190,204,198,192,184,173,170,165,155,143,131,102,72,111,146,192,207,201,200,197,197,197,195,195,195,194,193,169,194,201,186,181,172,177,177,158,144,138,109,63,108,220,207,204,201,202,201,200,199,199,199,198,196,196,194,178,193,192,182,178,163,169,169,149,136,117,86,56,181,207,202,202,201,201,202,202,201,200,200,199,198,197,195,183,188,181,178,170,154,156,149,137,119,93,60,117,215,203,205,204,204,203,204,202,202,202,201,201,201,198,197,183,185,186,179,163,153,146,138,113,89,66,70,194,207,202,205,205,204,204,204,204,203,203,202,201,201,201,199
0,188,189,191,193,194,198,199,200,201,201,202,205,207,207,206,206,207,208,208,208,207,208,209,208,208,208,207,207,188,191,194,196,198,199,200,201,201,203,203,205,207,207,207,206,208,208,209,209,208,208,208,209,209,209,208,209,188,191,194,198,199,200,202,202,204,207,205,207,208,206,207,209,209,207,210,210,210,212,211,212,211,210,212,210,190,193,195,198,199,200,203,204,206,207,207,208,211,211,217,209,208,213,225,211,206,232,200,204,215,214,212,211,192,195,197,198,200,202,204,206,207,215,233,210,192,234,236,199,175,223,240,207,181,229,199,178,218,215,214,213,194,196,198,199,202,205,205,209,204,242,247,218,165,205,233,203,161,175,234,211,167,200,216,164,209,218,215,215,195,198,200,202,204,204,226,228,196,243,240,224,179,177,231,212,177,160,237,213,161,158,218,181,171,204,217,216,196,198,200,203,204,218,252,231,194,217,246,225,198,176,232,216,178,172,238,205,159,116,197,204,177,164,195,219,198,200,202,204,202,239,255,239,210,198,247,221,203,169,237,224,169,177,233,187,148,80,157,213,199,154,162,224,199,201,203,204,207,249,254,249,223,186,239,224,198,167,242,226,157,149,206,167,124,75,177,228,208,159,170,227,201,202,203,202,219,244,233,250,228,179,222,224,188,159,231,212,153,114,163,152,103,99,222,232,212,155,196,226,202,204,206,202,238,244,224,234,201,152,194,209,174,142,185,181,146,102,161,148,98,173,235,226,188,148,218,225,203,206,205,212,251,242,205,212,163,122,161,185,163,124,139,160,122,105,184,188,193,223,224,204,159,159,229,225,203,206,203,230,255,237,199,194,168,133,146,180,165,108,114,153,137,196,235,233,222,203,197,172,149,176,230,227,207,210,206,224,255,248,224,190,169,147,139,196,171,99,107,188,236,248,241,229,211,187,169,156,136,192,231,228,209,212,210,222,255,252,237,213,184,166,169,195,171,153,213,251,254,244,234,221,197,171,155,146,147,223,230,230,209,211,209,227,255,254,244,228,213,187,189,204,223,247,255,253,249,236,219,201,178,157,144,141,207,233,232,231,208,210,210,228,255,255,252,240,229,211,202,225,241,255,254,251,242,227,204,180,159,146,132,187,233,231,233,232,209,211,211,225,255,255,254,246,237,225,215,225,240,255,253,244,234,214,191,163,146,133,157,233,233,232,233,233,209,211,214,222,255,254,254,248,235,223,216,219,232,246,242,229,218,200,170,150,133,139,219,236,234,234,233,233,210,212,216,217,251,255,253,243,228,213,211,216,223,229,223,209,190,176,153,133,129,209,239,235,234,235,234,234,212,216,219,218,244,255,251,240,225,209,210,218,221,222,207,190,165,149,129,113,191,240,235,235,236,235,235,235,209,206,205,196,208,219,203,194,185,179,189,201,198,195,176,162,144,124,105,176,240,237,237,236,236,237,236,235,166,152,150,143,134,128,126,115,106,96,96,92,84,83,80,82,88,88,110,217,242,236,236,237,238,237,237,236,142,143,140,132,130,127,117,107,100,87,80,69,62,61,57,55,54,58,64,81,176,245,237,238,239,238,238,238,148,145,143,136,132,124,116,106,97,86,79,70,64,62,59,57,55,57,57,44,133,249,239,239,239,239,239,239,168,145,145,137,135,123,114,104,91,84,77,72,63,60,58,55,54,53,54,56,211,243,239,241,239,239,239,239,183,147,141,138,133,122,110,102,91,83,74,70,64,62,58,54,52,52,48,116,250,239,239,240,241,241,241,241
23,209,212,216,217,218,220,221,222,222,224,225,224,224,223,223,224,225,225,225,226,224,225,225,224,225,223,224,223,211,214,217,219,220,222,222,224,225,224,224,224,225,225,226,227,229,228,229,226,225,226,227,226,226,225,225,225,214,217,218,222,223,224,225,225,228,227,226,227,228,225,225,222,212,216,228,232,229,229,230,229,229,228,227,226,216,218,222,223,224,227,228,228,228,230,232,231,226,239,253,232,209,193,207,193,219,235,232,232,231,232,230,228,217,220,223,225,227,228,230,231,230,232,233,231,244,255,240,215,187,185,166,140,221,237,233,234,233,233,233,231,219,222,225,226,229,231,232,232,231,232,234,249,248,206,198,160,173,180,178,214,237,233,236,234,235,236,235,235,221,224,226,228,230,232,232,233,235,233,234,242,219,162,157,202,244,241,245,241,236,238,238,237,237,238,238,236,224,226,229,232,232,233,234,234,236,235,236,233,203,171,164,255,235,236,229,229,241,237,240,241,240,239,239,238,226,228,231,233,233,235,236,236,238,238,240,234,203,200,157,235,236,248,233,160,215,245,240,241,242,242,240,240,226,230,233,234,235,237,238,239,239,239,238,240,222,201,183,249,255,254,230,145,177,255,241,243,242,242,240,240,228,232,234,234,238,238,239,240,240,240,238,246,231,239,255,255,240,237,222,128,145,202,207,248,241,242,241,240,229,232,234,235,238,239,239,241,241,241,240,239,244,255,249,239,243,232,191,134,86,156,163,249,245,243,243,242,231,232,235,238,239,239,241,242,243,242,238,239,247,254,255,239,238,226,145,116,79,128,120,159,255,247,245,245,232,233,235,239,239,239,242,243,243,246,244,243,244,248,241,232,238,215,134,108,84,106,120,95,165,255,244,246,233,234,237,239,240,241,243,245,243,252,255,237,239,239,240,241,227,176,127,114,86,94,118,120,111,244,249,246,234,235,238,240,241,243,244,245,245,246,250,240,243,245,234,208,164,118,131,120,89,90,116,109,164,255,246,247,234,236,238,239,242,244,244,245,247,238,245,241,238,220,191,149,93,103,135,116,83,102,124,115,233,255,248,248,234,237,239,241,244,245,245,246,248,240,243,238,232,220,171,124,88,124,121,85,80,109,115,176,255,249,251,250,233,237,239,242,244,244,246,246,248,242,240,235,241,223,146,101,90,101,81,80,94,107,121,238,255,251,253,251,234,236,238,240,241,242,245,245,247,241,235,235,244,202,143,118,83,79,85,97,116,104,166,255,251,253,254,254,235,237,239,240,242,244,244,245,246,240,236,242,246,207,154,129,87,84,114,126,133,112,212,255,253,253,253,253,234,237,239,241,244,245,245,244,247,238,233,251,242,208,166,135,105,91,124,134,137,117,229,255,252,253,253,253,233,237,240,241,244,245,245,245,248,238,227,251,240,208,170,138,116,93,124,137,132,130,249,255,253,253,252,252,233,237,240,241,244,245,246,245,248,236,228,243,236,205,167,136,121,99,121,141,119,163,255,252,255,254,254,253,235,237,239,241,243,245,246,245,250,226,224,241,231,198,165,134,120,106,114,133,112,226,255,251,253,253,254,255,236,239,243,244,248,250,252,252,255,223,237,241,219,192,161,134,119,113,110,114,193,255,255,255,255,255,255,251,161,167,172,176,178,180,184,191,187,207,255,244,215,183,154,134,120,118,105,177,245,238,241,247,248,243,240,238,132,132,134,133,134,135,137,137,124,221,255,243,213,173,153,136,119,117,125,146,158,175,184,212,227,215,223,222
4,114,123,135,142,144,148,151,155,158,159,162,164,166,169,170,172,174,176,178,180,182,183,184,185,186,187,189,189,116,124,135,143,144,149,154,156,159,160,164,166,166,166,168,172,178,176,179,181,182,184,184,185,186,187,188,189,118,127,135,142,146,151,155,157,161,160,159,162,171,181,161,155,159,181,177,183,185,184,186,187,187,187,187,189,119,128,139,143,148,153,155,158,160,174,177,155,152,187,199,168,125,133,163,140,168,187,185,188,188,189,189,189,121,130,141,145,149,153,156,157,157,198,210,192,154,123,193,167,125,92,158,115,117,194,184,189,189,190,191,191,122,131,141,146,151,154,155,178,182,166,142,193,161,106,150,157,113,87,141,121,110,191,187,190,189,191,191,192,124,133,142,147,152,151,172,221,198,159,108,162,155,102,119,173,127,87,156,142,103,184,189,191,191,192,192,192,124,135,144,147,152,149,188,196,197,156,107,133,175,110,89,179,145,74,171,151,90,182,193,191,192,193,193,193,125,137,145,148,153,149,193,194,172,179,143,101,182,138,51,138,180,111,129,134,147,136,174,194,192,194,194,195,127,137,143,149,155,150,194,194,150,165,146,72,120,128,70,119,186,151,126,134,150,126,141,199,192,196,196,197,129,139,147,150,156,150,194,201,179,151,121,100,89,118,110,129,155,156,152,138,130,153,128,186,197,195,196,196,131,141,148,151,157,155,211,201,169,149,133,109,112,139,120,142,158,154,142,137,160,176,130,161,204,196,198,198,132,142,149,153,156,160,220,199,160,138,122,105,117,135,138,152,171,146,111,159,194,179,151,138,204,198,198,199,133,143,149,153,155,167,224,193,163,141,124,114,124,134,157,160,174,188,188,166,168,182,159,123,190,203,198,198,134,143,149,154,154,175,232,197,166,141,132,117,127,142,166,173,184,202,199,188,179,158,146,106,166,208,200,202,137,144,150,156,154,173,236,201,172,151,130,118,127,145,172,185,198,205,199,189,178,153,128,97,160,211,202,204,139,145,150,156,155,172,238,207,183,160,130,125,130,146,181,197,205,206,198,188,169,150,125,96,181,208,202,204,140,146,149,156,157,174,242,208,188,166,145,138,137,151,190,209,211,205,190,179,165,143,113,113,208,202,204,204,140,147,149,156,157,172,234,209,195,175,162,142,146,167,197,220,214,204,189,172,155,133,95,151,214,201,205,205,141,147,151,157,160,164,221,215,203,185,176,158,151,184,192,215,212,200,189,166,145,115,97,193,207,204,205,206,140,146,151,157,161,159,207,219,208,194,183,172,156,177,188,207,206,196,183,162,142,103,131,214,203,205,206,206,142,146,151,158,163,161,192,229,211,201,187,173,161,172,184,205,201,186,178,161,140,102,179,210,205,206,206,207,143,147,151,158,162,163,182,239,215,200,184,168,164,170,185,198,189,175,163,158,128,128,211,205,206,206,206,207,144,147,151,158,164,165,180,245,208,193,183,173,172,175,184,186,171,162,149,138,119,190,208,206,207,207,207,207,143,147,152,158,164,165,182,236,197,193,191,187,181,176,178,181,167,154,142,108,170,209,205,207,207,207,207,207,144,148,152,159,163,162,185,230,198,200,197,192,192,180,174,174,162,147,118,121,211,201,205,205,208,208,208,208,143,147,152,159,164,163,187,232,217,202,192,196,200,181,165,161,154,139,97,156,211,202,205,206,208,208,208,208,142,148,154,159,164,164,188,229,223,201,194,203,202,175,161,154,153,127,94,186,209,203,207,208,208,208,209,209
6,202,202,203,201,202,202,201,201,201,201,200,199,197,196,195,192,191,189,188,187,185,184,182,179,179,177,172,170,204,204,204,204,204,205,204,204,205,204,203,203,201,199,197,196,195,193,192,190,188,186,185,183,181,179,177,174,205,206,207,206,206,207,207,206,206,207,205,203,203,202,200,198,197,196,195,193,190,189,188,185,184,180,177,176,208,208,208,208,208,208,210,211,210,209,208,207,205,203,203,202,199,200,197,196,195,194,193,191,188,185,180,178,209,209,211,211,211,210,211,212,211,210,210,209,209,210,208,207,205,203,197,191,187,184,176,169,171,170,181,183,211,211,212,212,212,212,213,213,217,218,215,207,205,199,189,179,170,152,132,136,144,144,126,135,195,175,152,188,212,212,213,213,211,214,215,216,199,172,159,148,151,148,143,132,132,127,110,136,133,122,125,125,162,135,138,191,213,214,216,214,213,217,210,186,158,133,129,138,141,152,152,147,127,112,98,90,81,88,93,85,101,135,180,189,217,216,216,217,218,197,175,170,160,128,101,111,119,111,94,89,69,63,82,113,136,159,171,186,197,200,194,190,218,217,220,218,182,162,168,164,147,120,74,58,34,73,149,157,167,174,198,215,214,211,208,204,199,196,194,193,218,221,218,176,158,165,168,164,161,151,113,52,15,61,152,192,222,223,212,209,205,203,203,202,200,198,197,194,224,218,182,164,171,176,176,176,179,160,91,37,35,28,21,30,63,194,216,210,211,208,206,205,202,200,199,196,200,171,171,181,180,181,178,165,171,117,40,25,30,35,40,38,7,101,230,210,213,211,208,206,204,202,200,197,165,171,183,182,178,179,159,153,160,115,72,34,6,23,32,40,31,17,191,221,212,211,209,206,205,202,200,197,172,177,183,184,182,165,153,162,163,166,142,72,18,18,16,17,31,105,211,214,212,212,210,207,205,203,202,200,175,177,185,185,174,155,155,159,155,162,130,56,27,27,32,10,144,238,214,214,214,213,211,209,207,205,203,201,174,183,185,171,158,152,150,146,142,136,93,31,17,23,33,0,141,234,214,217,213,211,212,210,208,206,204,202,177,175,160,157,159,153,152,137,121,123,110,57,5,15,11,85,212,217,214,214,213,211,211,207,205,202,199,199,163,148,146,154,148,137,125,116,121,141,147,84,25,35,8,155,238,216,214,212,212,212,210,206,207,207,210,202,148,148,148,137,120,114,114,122,132,145,132,64,27,23,1,159,231,215,213,213,212,211,211,214,198,172,126,83,148,146,133,120,115,116,115,109,105,101,61,17,29,41,136,226,220,228,228,223,216,213,215,153,66,32,21,18,132,116,102,112,115,112,92,67,50,35,30,113,188,214,230,226,217,176,159,101,83,85,71,30,24,28,9,17,87,57,49,74,86,78,55,39,43,94,162,231,225,220,220,217,113,51,40,0,10,9,3,13,7,20,7,0,35,14,33,61,63,59,53,59,80,104,107,96,99,106,104,75,41,33,31,11,0,15,0,5,0,1,2,0,19,38,98,95,95,96,95,93,92,87,86,85,66,51,33,23,20,18,4,18,0,4,0,0,0,0,0,0,14,75,114,100,102,109,103,97,104,103,105,87,36,14,24,17,7,9,4,11,0,0,0,0,0,0,0,0,22,86,97,95,97,98,95,93,95,90,66,28,19,0,9,15,1,0,0,1,0,0,0,0,0,0,0,0,33,94,94,95,100,98,94,95,86,58,40,1,10,1,0,12,0,0,0,0,0,0,0,0,0,0,0,0
13,169,170,171,170,169,170,171,172,171,170,170,172,172,173,173,172,172,173,174,173,174,172,172,171,172,171,170,170,171,172,173,171,171,172,173,172,172,172,173,172,172,174,175,175,175,175,174,174,175,174,172,173,174,174,171,170,171,173,172,173,173,173,174,173,174,174,174,174,174,175,174,174,173,172,177,178,176,175,173,174,174,174,173,172,171,172,173,174,173,175,175,175,174,173,174,176,176,175,176,184,182,156,134,161,170,175,178,175,176,174,174,174,171,173,174,174,174,176,176,174,174,174,175,177,174,183,204,205,201,170,125,90,109,113,163,180,176,175,175,174,172,172,173,175,175,174,174,175,177,177,175,175,175,181,176,188,200,179,132,88,74,85,105,188,174,175,176,175,173,173,174,175,175,175,175,176,178,174,179,167,146,168,145,138,175,181,154,100,82,131,101,179,177,176,177,176,173,174,175,175,176,176,177,178,177,179,202,167,127,157,169,163,174,169,171,107,77,108,94,177,178,178,178,177,173,174,175,176,176,176,177,177,172,184,209,176,150,120,138,171,177,156,115,80,47,106,167,179,179,179,178,178,173,175,174,175,176,179,173,182,181,126,139,187,170,136,67,103,164,164,132,115,87,86,183,181,179,179,179,178,173,174,176,176,175,172,179,201,175,110,78,157,192,151,86,24,96,129,141,164,149,87,123,191,177,180,179,178,173,174,175,176,174,184,203,186,156,120,82,117,199,151,115,49,40,50,152,184,170,134,83,166,183,179,179,179,174,174,174,174,179,196,178,157,158,135,100,78,195,160,139,82,47,46,112,196,182,155,100,101,187,178,177,178,175,175,176,174,192,182,145,139,167,144,116,51,145,189,155,117,45,55,101,186,188,156,125,81,153,186,178,178,176,175,176,176,194,188,163,132,168,148,126,90,50,177,177,143,88,77,184,178,175,152,132,89,131,191,179,180,175,174,173,177,190,179,165,134,132,156,154,129,42,71,183,169,158,111,181,176,152,125,114,79,140,189,179,180,173,173,174,174,192,196,179,156,125,127,161,139,122,39,125,178,155,159,175,162,142,114,87,73,166,184,180,179,179,179,180,178,191,200,188,167,153,136,138,136,155,97,154,193,180,187,169,151,133,109,80,88,182,180,181,180,135,138,143,140,176,204,195,177,161,153,155,139,112,122,188,200,199,179,165,148,126,101,69,123,193,185,186,185,79,79,82,69,136,209,193,185,171,160,162,162,134,123,176,198,196,178,152,139,119,91,72,108,136,136,140,140,85,84,86,78,102,197,188,188,185,172,164,160,151,115,144,194,187,172,148,122,107,83,79,79,72,69,71,79,85,85,85,87,78,168,188,185,188,184,173,162,149,132,118,177,176,159,142,112,95,82,75,78,86,106,131,157,84,85,87,89,77,114,191,181,189,190,175,163,146,136,120,144,164,145,123,108,91,72,85,146,167,180,186,186,84,86,86,86,90,77,153,190,185,182,166,153,141,130,119,122,142,136,117,101,88,61,144,202,181,173,166,174,85,86,86,85,89,79,101,191,179,165,152,144,137,128,109,108,130,138,124,92,75,74,184,186,171,161,142,137,85,86,85,85,84,87,79,167,184,153,139,141,135,123,104,95,135,149,115,84,62,126,199,180,166,129,120,124,85,85,86,84,83,90,76,145,191,161,156,150,135,118,106,93,142,142,94,75,72,184,193,194,173,121,94,121,85,86,87,84,84,89,75,136,196,170,169,159,141,123,112,91,144,125,87,63,105,196,182,202,190,136,86,103
4,190,190,190,189,190,189,188,188,187,184,184,182,183,185,182,181,181,176,175,175,173,173,172,173,170,167,164,164,191,191,191,191,191,190,189,190,189,187,187,188,188,186,182,179,181,183,175,174,175,174,174,173,171,169,165,165,194,194,193,192,192,191,191,191,190,189,176,160,164,180,184,151,116,141,186,180,181,181,173,173,172,170,167,166,196,196,194,193,193,192,193,193,192,193,182,173,156,132,133,149,138,92,142,165,136,153,178,172,174,171,169,168,196,195,194,195,195,195,194,194,185,184,180,171,166,158,109,82,127,131,91,84,94,67,140,182,171,172,171,169,198,196,196,196,195,197,195,190,175,175,160,124,76,135,117,54,85,130,92,52,84,73,80,184,172,173,173,171,199,198,198,198,198,197,196,191,191,177,165,134,69,91,120,62,65,106,72,50,100,95,60,162,179,174,172,171,198,198,198,197,197,197,199,191,141,105,137,157,90,85,128,116,97,96,58,63,110,98,58,158,182,173,172,171,200,200,199,199,198,198,197,200,157,88,46,166,136,102,128,150,151,101,97,98,97,121,77,155,181,174,172,172,200,200,201,200,199,200,200,189,136,79,22,91,138,84,87,108,139,109,101,105,98,113,70,112,189,175,174,172,201,200,202,203,200,199,201,177,132,111,97,61,61,73,60,53,79,115,105,98,94,91,79,74,185,177,175,174,203,202,203,204,202,199,201,181,165,140,99,65,50,70,65,71,60,77,93,87,83,105,101,57,159,183,177,175,204,204,204,204,202,201,202,188,167,127,91,60,58,66,71,93,85,58,42,93,140,134,111,62,121,189,175,174,205,205,206,205,205,202,202,191,150,110,77,54,57,69,94,98,97,95,108,119,137,140,124,87,85,187,175,173,207,207,207,205,206,202,202,189,157,127,90,63,69,80,94,111,109,131,160,159,132,160,149,105,64,174,180,175,208,207,208,207,207,204,201,195,170,135,98,67,66,80,109,126,133,143,159,169,161,139,133,100,49,163,183,175,206,206,207,208,208,206,201,189,173,145,110,70,65,86,112,130,149,158,168,163,148,134,105,76,53,176,182,177,206,206,207,208,209,206,198,184,181,158,124,90,71,72,109,143,157,173,175,160,137,119,95,45,98,193,177,178,207,207,207,207,209,208,196,177,181,164,131,105,83,69,112,158,169,180,172,152,126,109,78,41,165,186,180,179,207,207,207,207,208,208,195,173,171,161,135,111,90,79,112,168,170,171,160,138,115,98,53,92,197,180,182,180,207,207,208,209,210,211,197,170,165,165,147,118,99,91,123,170,164,157,144,123,103,84,44,159,191,183,181,179,208,208,210,210,210,211,202,168,167,169,153,124,112,96,131,163,158,151,131,105,91,53,80,197,185,185,182,180,208,209,210,209,210,211,209,179,171,174,159,134,115,92,127,156,150,141,117,90,74,39,160,196,188,187,184,181,210,211,210,210,211,211,212,185,181,178,157,139,120,94,115,146,136,122,96,79,36,102,203,188,188,186,184,182,210,210,209,212,212,212,209,193,188,173,156,144,126,103,106,125,116,98,81,50,58,191,192,188,187,186,183,183,211,211,212,211,211,212,209,196,189,170,154,138,123,110,100,107,103,83,64,31,162,200,190,189,189,187,185,183,212,212,212,211,211,212,203,194,183,171,159,150,137,128,107,98,95,78,38,100,206,191,192,190,187,187,186,183,212,212,213,212,212,212,193,193,185,173,161,158,141,132,112,95,87,63,43,173,201,195,192,190,188,187,185,183
20,119,120,121,120,121,123,122,124,124,123,123,123,123,123,122,121,120,121,119,117,118,117,115,114,112,111,109,107,122,123,124,124,125,126,126,126,126,126,126,126,126,126,124,132,121,89,126,123,120,119,118,116,115,113,111,110,126,127,127,127,128,128,128,128,129,129,129,129,129,129,127,135,130,70,99,117,125,121,121,119,118,116,115,113,128,130,131,131,131,131,132,132,133,133,133,132,132,132,131,135,132,65,53,74,120,126,124,122,121,119,118,116,132,132,133,133,134,135,135,136,136,137,135,135,136,136,133,142,129,54,81,81,95,134,126,126,124,123,121,119,135,136,137,137,137,138,138,138,139,138,138,138,139,139,136,145,125,52,102,98,73,137,128,128,126,125,123,122,138,139,139,140,140,140,141,141,141,141,141,141,142,142,138,152,131,60,106,105,67,136,132,131,130,129,127,124,141,142,142,143,143,143,143,143,143,143,143,144,144,143,140,158,120,55,112,126,70,132,137,133,133,132,130,126,143,144,144,143,145,145,145,146,145,146,145,146,146,147,148,163,104,56,127,125,65,127,142,136,135,134,132,131,145,146,146,146,147,148,149,149,149,148,147,149,149,136,133,162,112,72,141,122,59,123,143,138,138,136,134,132,148,149,150,150,150,150,150,151,151,150,150,151,152,145,125,122,114,67,122,127,68,122,145,140,140,139,137,134,150,151,151,152,152,151,153,153,153,153,152,153,151,157,162,130,97,74,110,132,79,117,149,142,142,140,139,136,152,152,153,153,154,155,156,155,155,155,155,155,153,121,132,131,127,97,78,109,72,111,153,143,143,141,139,137,153,155,155,155,155,156,156,155,157,156,156,155,159,132,63,117,142,90,47,66,58,101,156,145,145,143,141,139,155,155,155,156,157,157,157,157,157,157,157,157,162,135,40,94,140,106,64,50,41,90,158,147,146,144,143,142,156,156,157,158,158,158,158,158,159,158,158,158,155,132,82,71,105,124,89,79,45,73,160,148,148,147,145,144,158,158,159,160,160,160,160,160,160,160,161,153,153,134,108,69,49,101,107,87,50,54,157,151,150,149,147,146,160,160,161,161,161,161,161,161,161,162,157,153,136,135,130,100,65,73,99,98,64,44,148,156,151,150,149,147,161,162,162,162,162,162,162,162,163,162,154,144,104,88,122,114,71,58,84,121,94,42,114,163,151,151,150,148,162,163,162,163,164,163,164,164,165,164,153,148,118,56,64,109,59,43,70,123,119,63,60,159,154,153,152,150,163,164,164,165,165,165,165,165,165,165,155,141,119,90,48,75,63,45,103,145,131,82,42,147,158,154,154,151,165,165,166,166,166,167,167,167,166,168,152,147,145,95,59,76,88,83,150,147,121,66,52,156,157,155,154,151,166,167,167,167,167,167,167,168,168,170,152,148,147,103,77,77,137,160,159,126,108,46,78,168,155,156,155,153,166,167,167,167,168,168,168,168,169,171,153,142,138,113,81,75,148,160,142,110,91,42,111,169,156,156,156,154,165,166,166,167,167,167,167,168,168,171,154,133,130,114,85,76,138,145,127,98,72,41,139,164,156,156,155,153,167,166,167,168,168,168,168,169,169,171,163,135,130,114,97,83,135,145,118,85,50,57,164,158,155,156,160,157,167,167,168,168,169,169,169,170,171,171,172,143,128,118,103,78,121,133,100,67,30,114,170,162,163,154,124,81,167,167,169,169,170,171,170,170,172,172,170,150,134,118,101,79,95,102,69,41,48,162,160,130,104,68,32,24
7,255,255,255,255,255,255,255,255,255,255,253,251,249,248,247,245,243,240,239,237,235,235,233,231,228,223,221,219,255,255,255,255,255,255,255,255,255,255,255,255,253,251,249,249,246,245,243,240,239,237,236,232,231,228,223,225,255,255,255,255,255,255,255,255,255,255,255,255,254,254,254,253,251,248,245,243,242,239,237,234,232,230,226,225,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,252,248,247,245,242,239,239,236,232,228,227,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,249,247,246,242,240,238,235,232,230,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,251,249,249,247,244,240,238,235,232,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,248,247,245,242,240,237,236,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,250,245,241,239,237,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,246,243,238,243,246,240,239,255,255,255,255,255,255,255,255,255,255,255,255,255,251,239,225,213,191,186,190,193,163,170,211,201,236,245,241,255,255,255,255,255,255,255,255,226,203,193,186,187,178,166,162,167,136,146,153,147,145,155,199,165,223,250,243,255,255,255,255,255,255,239,211,186,146,154,164,164,169,165,167,138,131,122,121,120,125,104,130,185,244,254,246,255,255,255,255,247,223,220,213,184,139,132,132,130,136,140,145,142,153,144,112,121,116,110,115,123,135,210,252,255,255,255,224,208,213,214,201,188,169,151,150,153,164,170,168,171,163,150,100,110,117,101,96,82,108,144,254,255,255,214,209,210,211,200,200,203,188,168,163,162,174,161,155,148,137,115,82,81,84,80,84,82,97,184,254,253,219,218,215,212,207,205,214,197,170,116,106,123,128,114,110,117,120,125,146,179,199,216,220,227,234,251,247,213,225,226,217,213,214,212,188,173,139,82,87,94,70,169,240,240,255,255,255,255,255,255,255,255,255,255,255,217,224,222,217,216,208,182,164,162,130,101,76,69,71,79,233,255,255,255,255,255,255,255,253,255,255,234,195,216,216,221,224,215,189,168,153,152,164,160,95,64,76,44,163,255,255,255,255,255,255,255,255,252,162,101,83,213,219,226,217,192,159,148,145,148,166,147,82,68,58,94,255,255,255,255,255,255,255,240,180,116,72,65,74,216,219,213,188,160,146,141,134,131,135,96,67,46,80,255,255,255,255,255,250,202,148,99,71,66,73,60,68,213,202,176,163,159,152,150,132,107,103,94,76,49,106,255,255,255,255,210,120,81,68,72,73,73,75,57,57,186,170,165,160,149,135,117,98,90,109,115,78,52,157,189,110,104,99,79,73,90,70,61,69,70,73,55,48,172,171,162,137,114,104,98,98,105,116,91,67,88,106,56,55,67,53,72,59,64,71,40,55,67,71,52,46,171,162,141,122,116,113,105,97,92,80,77,95,91,84,72,41,67,51,57,51,54,57,35,46,63,67,45,49,149,127,117,118,115,108,92,82,85,89,92,82,72,63,66,39,47,52,42,46,51,44,30,41,62,61,39,50,96,78,86,92,94,93,101,109,85,87,75,67,57,63,56,47,29,49,36,41,47,35,31,40,59,57,35,50,68,119,139,136,133,139,140,111,70,57,67,66,50,55,48,49,23,36,37,38,48,31,33,44,57,54,31,56
1,177,178,179,179,179,181,183,182,183,184,184,181,170,178,182,182,181,180,179,179,178,178,178,176,174,174,173,172,180,181,181,182,184,184,184,185,185,188,190,184,149,135,186,184,186,184,183,184,182,181,181,180,180,179,177,175,182,184,184,185,187,187,187,189,188,178,173,193,161,96,120,139,186,189,187,187,186,185,184,183,181,181,181,179,185,186,187,187,189,190,191,191,192,170,116,181,172,90,100,118,147,196,188,189,188,187,186,186,184,182,182,181,187,189,190,190,191,192,194,194,194,182,116,156,175,98,107,138,100,193,193,192,191,190,189,187,187,186,185,185,188,191,192,194,194,194,195,196,195,193,127,128,181,117,121,149,92,178,198,194,193,192,193,192,189,188,188,188,191,193,193,194,195,196,197,188,185,199,143,110,166,116,129,164,104,159,202,196,196,195,195,194,193,192,191,189,194,195,195,196,197,199,200,170,131,199,155,94,154,117,119,163,112,148,205,199,199,197,195,196,195,195,193,190,195,196,197,198,199,201,201,181,113,183,157,90,161,137,94,167,127,138,207,200,200,198,198,198,197,197,196,195,196,198,200,200,201,202,203,184,114,169,175,102,139,145,95,164,151,130,209,202,201,200,199,200,200,199,197,197,198,200,201,201,202,203,205,189,118,157,185,107,101,134,127,159,131,115,200,203,204,203,202,201,202,201,200,200,199,203,203,203,205,205,205,193,129,124,178,107,105,127,132,148,112,103,109,141,210,204,202,202,202,200,200,201,202,203,205,205,207,207,204,200,143,103,162,126,131,124,132,144,135,112,86,92,191,208,205,204,203,201,201,202,202,204,205,206,208,209,205,199,158,133,148,125,133,125,150,170,135,95,124,120,142,213,206,206,205,203,202,202,204,206,207,209,208,209,210,205,175,144,137,117,130,133,156,163,145,144,183,159,117,199,209,207,206,206,205,204,204,207,209,209,210,210,211,211,181,142,122,115,127,136,163,173,172,167,156,165,113,152,214,207,207,206,206,206,206,207,209,209,211,212,211,214,192,148,112,117,130,140,178,181,198,197,165,136,93,96,211,209,208,207,206,207,207,209,210,211,212,214,211,213,211,166,119,120,133,157,177,187,194,189,163,132,86,82,205,212,211,208,207,208,207,209,212,213,212,214,214,210,220,190,143,117,136,165,182,199,201,186,163,137,85,107,215,212,212,210,209,209,209,210,213,215,215,216,217,206,223,211,171,130,132,158,190,209,203,189,175,135,79,145,221,213,213,213,212,210,209,211,214,215,217,217,218,207,219,220,190,148,139,154,191,213,207,200,173,122,76,181,219,214,214,214,212,210,211,213,214,216,217,216,218,212,207,214,203,161,148,153,187,204,214,198,156,105,87,209,217,215,215,215,214,211,211,214,215,216,217,216,218,218,194,203,204,171,149,149,176,197,198,171,128,84,117,224,219,216,216,215,215,213,210,213,213,215,216,216,217,219,199,187,191,174,156,149,158,172,163,130,94,75,179,223,218,216,216,215,215,214,210,213,213,215,216,217,217,218,215,181,182,175,161,156,138,139,142,110,74,130,221,219,218,216,216,215,214,212,211,214,214,215,216,217,218,219,221,194,189,172,156,152,127,125,128,94,75,197,222,218,217,216,216,215,214,212,212,214,214,215,216,217,218,219,221,199,190,163,148,149,134,126,109,79,103,221,219,218,218,217,217,216,216,213,212,213,215,216,216,217,217,219,223,197,199,186,168,166,145,132,101,71,125,225,220,220,220,218,217,216,216,213
19,130,138,145,150,155,156,159,162,165,168,171,175,176,179,182,183,185,185,187,189,191,192,193,192,192,194,193,193,131,139,146,152,154,157,160,163,168,171,175,178,180,182,183,185,187,188,190,191,194,195,193,195,193,196,195,195,132,141,148,154,156,159,162,165,169,174,176,178,184,185,182,187,189,190,192,192,194,192,202,187,194,196,196,196,135,143,150,155,159,161,162,168,172,172,189,184,158,176,191,188,190,193,193,194,190,211,226,129,178,200,196,196,137,145,152,156,160,161,166,170,175,172,224,193,145,122,183,190,190,192,202,205,216,218,154,117,192,200,198,198,137,146,154,159,161,162,166,173,177,171,213,210,160,146,191,207,195,200,214,212,192,142,115,181,204,201,200,199,138,146,155,162,162,162,174,164,169,177,196,209,199,207,200,197,188,172,186,165,123,136,188,206,199,202,202,201,141,148,156,162,157,201,211,172,163,169,184,190,183,169,161,169,156,134,132,136,172,208,205,202,203,203,203,204,141,150,158,159,168,226,184,174,178,185,194,192,181,168,163,146,145,117,188,204,209,203,204,205,204,205,205,205,141,150,160,155,184,204,161,162,172,188,192,188,187,181,156,116,105,137,217,204,204,206,206,205,205,207,207,207,143,150,160,156,208,207,176,176,183,177,166,163,163,142,128,110,91,165,213,205,207,207,206,206,208,209,208,208,144,152,159,166,245,217,196,192,193,185,182,177,156,104,104,108,97,188,212,207,208,208,208,208,210,209,209,208,146,154,158,173,235,210,189,172,164,175,177,169,140,106,102,109,108,200,209,209,211,211,211,210,210,210,211,210,147,156,160,169,215,204,175,153,129,123,138,138,138,108,106,104,137,214,207,210,212,212,213,213,212,212,212,212,147,156,162,168,207,206,175,123,111,81,81,134,147,113,111,106,134,217,209,212,212,212,214,214,215,215,213,212,149,159,165,165,206,209,176,135,100,70,121,146,138,105,104,103,111,207,213,212,213,214,216,216,216,216,215,215,149,158,167,161,207,207,176,145,121,90,89,93,87,86,97,106,109,201,216,213,215,215,216,216,215,216,216,216,150,160,166,159,214,210,178,151,124,111,101,83,85,95,101,107,112,204,216,214,214,217,216,215,216,216,215,215,152,161,168,157,212,209,177,148,126,118,117,100,92,97,104,103,123,212,213,215,218,219,219,218,218,219,218,217,153,160,168,155,202,200,172,146,124,117,114,102,94,101,108,104,150,222,213,218,219,219,218,218,219,219,219,219,154,160,169,160,200,194,168,140,123,116,113,103,99,106,112,104,188,221,215,219,218,219,220,220,221,220,221,221,155,163,167,170,205,188,163,136,120,115,115,109,107,111,101,138,217,214,218,220,220,221,221,221,221,221,221,221,155,165,164,177,210,186,158,132,119,117,119,113,109,105,148,210,216,216,218,219,219,221,221,221,221,221,221,221,156,166,165,183,201,182,160,139,123,119,118,115,101,141,217,213,215,218,219,221,220,222,222,222,222,222,223,222,156,165,166,191,195,173,156,140,122,111,109,109,103,186,215,212,218,218,220,222,222,222,223,223,224,224,223,223,156,165,170,210,189,170,145,128,116,104,103,102,114,200,213,216,218,219,220,223,223,223,225,225,225,225,225,225,158,162,178,214,192,175,153,139,139,110,102,97,127,210,212,216,217,219,220,222,222,224,225,225,225,225,226,226,158,167,175,200,195,178,159,152,145,110,103,95,129,213,210,213,216,218,220,221,222,222,224,224,224,225,225,225
21,171,172,172,173,174,174,174,174,173,173,174,169,166,171,171,170,169,168,167,166,165,163,161,159,158,156,153,151,174,174,175,176,177,177,177,177,176,176,178,165,146,165,173,173,172,171,170,169,167,166,164,162,161,159,156,154,177,177,178,179,180,180,180,181,181,180,181,170,137,147,175,177,176,175,174,173,171,169,167,163,161,162,160,158,180,180,181,182,182,183,183,184,184,184,182,176,144,127,169,181,180,179,177,176,174,172,170,154,140,160,163,161,183,183,184,184,185,185,186,187,186,186,185,182,156,116,155,182,182,181,180,180,178,175,173,145,118,155,166,164,186,186,187,187,188,188,189,189,188,188,188,187,169,124,140,181,185,184,182,182,180,179,175,136,116,159,169,167,188,189,189,190,190,191,191,191,190,190,191,192,183,139,127,176,187,186,185,184,183,183,170,126,125,168,172,169,190,191,193,193,193,193,193,193,193,193,194,195,192,150,119,166,189,188,187,186,186,186,162,119,140,174,174,172,193,194,195,196,196,196,196,196,195,196,196,197,198,164,123,155,190,190,189,188,188,182,149,118,157,178,176,174,196,197,198,198,199,199,199,198,198,199,198,198,199,179,138,146,188,192,191,191,189,170,129,125,172,181,178,176,199,200,200,200,201,201,200,200,200,201,201,199,194,181,148,137,183,194,194,195,189,158,115,144,181,183,181,178,200,201,201,201,202,202,202,201,202,202,202,199,185,167,147,131,176,197,196,197,184,144,121,170,186,184,182,180,202,202,203,203,203,203,203,203,203,203,204,200,192,183,165,141,167,195,196,192,168,127,140,185,189,187,184,182,203,204,205,206,205,205,205,206,206,206,206,196,185,191,186,161,147,166,178,171,143,117,163,192,191,188,186,185,206,207,207,207,207,207,207,207,208,208,207,195,164,149,167,166,146,125,133,137,113,121,182,195,193,190,188,186,207,207,208,208,208,208,208,208,209,209,208,197,157,107,110,154,151,104,91,97,90,130,191,196,194,192,190,188,208,208,208,209,210,210,210,210,210,210,210,200,170,131,106,126,139,103,86,81,81,138,196,198,196,194,192,190,209,210,210,211,212,211,211,211,212,211,205,194,185,167,136,114,126,115,100,95,84,142,198,200,198,195,193,191,211,211,212,213,214,214,214,214,214,211,200,193,186,176,162,138,119,117,110,103,81,128,195,201,199,197,194,193,212,213,213,214,215,215,215,215,216,211,198,184,158,151,163,154,123,97,103,98,75,100,181,201,200,198,196,194,212,213,214,214,214,215,215,215,216,211,199,181,143,109,120,141,114,75,86,107,86,77,145,198,200,199,197,195,212,213,214,215,215,215,215,215,216,211,198,180,149,112,88,107,99,72,83,118,106,75,121,193,199,198,194,189,213,214,215,215,216,215,216,216,216,212,196,183,165,126,94,108,122,97,106,132,114,79,130,195,196,185,161,134,213,214,215,216,217,216,216,217,217,212,194,185,171,132,108,132,174,155,140,134,99,79,147,177,155,119,83,63,211,211,213,215,215,215,216,217,217,213,195,184,167,139,111,136,184,177,149,122,88,72,108,100,77,55,47,47,169,171,175,178,181,184,186,189,191,190,183,176,161,135,106,130,172,164,137,109,80,57,57,53,50,37,40,48,115,116,117,118,121,123,123,124,126,127,148,169,160,132,108,127,164,154,123,92,65,48,44,42,43,29,33,48,109,109,109,109,110,112,113,112,113,112,134,168,160,133,112,120,152,142,108,76,52,42,39,36,37,25,29,46
7,133,136,137,138,140,140,142,142,142,143,142,143,142,143,142,141,141,141,142,140,139,139,138,137,136,135,134,133,135,137,139,139,141,141,143,143,143,144,144,144,143,144,143,142,142,141,141,141,141,139,138,137,137,136,136,135,136,138,140,141,143,144,145,145,146,147,146,145,145,146,146,144,143,143,142,143,141,141,140,138,137,137,137,136,138,139,141,142,144,145,147,147,147,147,147,147,148,147,146,145,144,145,143,143,142,142,140,140,139,138,138,137,139,141,143,144,145,147,149,149,148,149,148,148,149,148,147,146,146,145,145,144,143,143,141,141,141,139,139,138,140,143,146,146,148,150,150,150,150,150,150,149,148,149,149,148,147,146,146,145,143,144,143,142,141,141,140,139,142,144,147,147,150,152,154,157,155,153,154,154,155,155,154,153,152,152,151,151,149,146,145,144,143,142,141,140,143,145,148,149,150,149,137,130,139,144,137,129,130,130,136,136,133,131,135,125,125,140,143,144,145,144,142,142,144,147,149,150,149,135,108,87,89,101,111,103,95,86,99,115,114,101,112,89,111,146,121,144,147,144,143,142,146,148,147,145,137,127,120,109,85,70,87,93,96,84,88,104,103,99,96,92,101,123,108,144,149,146,144,143,144,141,134,129,130,135,135,116,72,58,72,82,76,55,65,61,66,74,69,67,73,78,114,149,136,145,146,144,137,133,132,132,126,117,127,101,52,63,73,89,88,76,61,71,100,114,106,90,102,102,131,168,106,131,151,145,135,131,129,123,114,110,113,106,71,48,53,70,76,87,81,70,101,118,110,99,98,96,88,102,101,146,149,147,134,126,120,117,116,115,114,117,93,49,27,28,38,58,63,60,73,71,74,68,73,84,96,117,149,153,149,149,128,122,117,114,113,112,113,106,80,49,28,38,101,81,77,85,97,108,118,129,147,156,158,159,154,152,150,150,122,115,109,108,102,101,99,92,72,43,35,27,130,176,160,164,168,168,165,162,159,156,155,155,154,154,152,150,117,113,109,108,107,105,103,99,82,44,32,31,52,169,163,163,162,161,160,158,158,158,157,156,155,155,153,151,117,115,110,110,106,106,109,110,85,46,36,36,33,156,168,163,164,163,162,160,160,160,159,157,156,155,154,153,122,124,119,110,103,94,98,96,75,52,46,40,24,125,174,164,163,163,163,162,161,161,160,158,158,156,154,154,123,123,120,109,101,91,86,79,62,55,55,47,29,55,174,166,166,165,164,163,162,161,161,159,159,157,155,154,117,114,104,91,85,77,70,65,55,51,57,45,22,76,175,166,166,165,164,162,162,161,160,160,159,157,156,155,103,100,83,66,55,52,56,37,35,45,47,67,117,154,169,166,165,164,163,162,162,161,161,160,160,158,156,155,66,76,68,50,68,108,151,123,92,99,130,163,176,169,168,167,167,166,164,163,162,162,161,160,160,159,156,155,3,14,8,80,172,170,170,175,175,174,175,171,167,168,169,168,168,167,166,165,164,163,161,161,160,159,157,156,0,0,0,146,171,164,167,166,167,168,169,169,170,169,168,168,168,167,167,166,164,163,162,162,160,160,157,155,0,0,67,174,163,166,167,168,170,171,170,170,171,169,169,168,168,167,167,166,163,162,162,161,161,161,161,161,2,0,150,170,166,169,170,171,172,172,173,173,173,172,171,170,170,170,169,169,167,165,167,167,160,155,146,134,4,0,139,155,151,153,154,155,155,155,155,154,154,154,153,151,150,150,150,149,147,146,135,101,65,51,35,21
6,127,129,131,132,134,135,135,136,137,137,137,136,135,136,136,135,135,134,134,134,134,132,132,132,131,130,130,127,128,130,132,134,135,136,136,137,138,139,139,138,138,137,137,136,137,136,136,135,134,134,134,134,132,131,130,129,129,131,134,135,136,136,138,138,139,139,139,139,140,139,139,138,137,137,136,136,135,135,135,135,134,134,132,131,130,132,134,135,137,138,140,140,140,140,140,140,141,141,141,141,140,139,139,137,137,136,134,135,136,135,134,134,131,134,135,137,138,139,140,141,141,141,142,142,141,137,131,129,130,131,127,128,121,120,144,122,122,139,135,134,132,135,137,138,140,141,142,143,141,142,141,139,137,130,119,117,126,135,127,129,119,118,147,108,103,142,135,135,134,136,137,139,141,142,143,143,144,146,151,150,148,139,128,122,123,125,121,116,116,103,101,97,127,140,137,137,134,136,138,140,140,141,141,145,153,154,151,139,129,114,104,89,86,89,97,101,105,112,123,136,141,139,139,137,134,136,138,138,148,154,142,142,142,137,126,120,114,102,99,92,83,122,134,139,142,145,145,143,140,141,140,139,135,137,140,137,163,155,136,132,129,135,141,139,130,123,122,125,88,114,152,143,144,143,143,143,142,141,141,140,135,137,139,142,156,133,126,131,136,142,147,144,137,131,123,111,80,86,150,145,145,145,144,144,143,141,141,140,135,138,138,154,160,131,126,128,132,138,140,141,133,120,116,101,69,72,139,148,145,145,145,144,143,143,142,141,137,140,138,157,142,132,135,131,132,134,140,143,130,112,117,112,70,61,119,152,144,145,145,145,145,145,143,141,138,140,140,153,145,147,142,141,142,147,150,142,130,124,121,102,75,63,109,153,145,146,145,145,145,144,143,142,138,140,141,149,165,162,139,138,139,139,137,132,126,117,102,82,75,69,100,153,146,147,146,146,146,146,144,142,139,141,141,149,170,163,142,134,126,110,109,117,115,114,112,74,69,73,113,154,147,147,147,147,146,145,145,144,140,141,140,152,162,158,147,133,121,123,137,138,125,119,126,89,60,92,149,148,148,147,148,147,147,147,145,144,139,142,140,154,157,159,156,134,130,141,146,131,120,114,106,88,70,112,155,147,148,148,148,147,147,147,146,145,140,143,141,154,159,153,151,137,133,137,136,128,116,105,90,79,75,129,154,149,149,148,149,149,148,147,146,145,140,143,141,153,159,154,147,138,132,132,120,111,95,82,77,73,90,146,152,150,150,149,149,149,148,147,146,145,140,144,140,148,156,156,145,133,123,114,95,80,62,58,67,99,143,153,151,151,151,152,150,149,148,147,146,146,140,143,139,145,153,145,129,120,111,95,78,65,56,67,87,147,156,151,151,152,151,151,150,150,148,147,146,146,139,143,139,140,149,132,120,118,112,87,75,74,62,73,123,154,150,152,151,150,149,148,149,149,148,147,145,144,139,143,136,134,144,124,122,123,102,82,78,79,68,107,154,152,151,152,152,150,149,149,148,148,148,146,145,144,140,142,134,131,140,119,127,123,97,82,77,81,101,151,153,152,152,152,152,151,149,149,149,148,147,147,146,145,140,144,132,133,136,122,130,120,97,81,77,83,137,156,151,153,153,151,151,151,150,150,149,149,148,147,146,145,138,144,126,137,138,120,125,110,88,77,80,90,145,153,151,152,153,151,150,150,151,150,150,149,148,147,146,145,138,141,122,144,133,116,114,95,81,78,81,102,153,150,150,149,150,149,149,149,149,147,149,148,148,147,146,145
15,118,115,113,113,114,116,117,118,120,128,139,149,156,164,170,173,174,178,181,186,190,193,197,199,200,202,206,207,118,114,113,114,114,115,118,118,120,129,139,150,157,165,171,174,175,178,182,187,191,194,198,200,201,204,206,208,117,114,114,113,113,116,120,118,121,130,141,150,157,165,171,175,176,178,183,187,191,195,199,201,203,206,207,210,117,115,113,113,115,115,114,116,120,131,142,150,158,166,170,175,176,179,183,188,192,196,200,202,205,207,208,210,117,115,114,115,112,118,143,128,124,131,142,151,159,166,174,177,177,178,183,188,193,197,200,203,205,206,208,211,118,115,115,116,104,186,190,157,152,148,144,146,158,166,167,168,174,181,187,191,194,196,200,203,206,207,209,212,118,116,115,114,107,181,169,147,147,147,135,146,150,152,148,143,147,153,165,181,194,201,205,206,206,207,210,213,119,116,115,115,111,126,137,121,127,121,117,144,136,136,132,143,154,146,145,148,159,168,180,196,212,208,211,213,119,116,114,113,115,114,115,115,118,113,116,123,118,117,117,147,151,147,149,152,155,148,134,133,164,217,211,214,118,117,114,113,115,117,117,118,123,133,143,142,143,141,131,138,136,134,128,145,165,158,144,141,112,163,223,212,119,117,114,113,114,115,116,116,122,134,144,157,163,170,174,163,135,121,143,167,170,167,142,150,144,103,183,225,119,116,112,113,114,115,116,115,122,134,146,153,161,179,180,163,148,152,204,166,175,152,159,168,151,131,112,202,118,114,113,113,114,114,116,116,123,135,144,157,201,188,156,140,137,134,195,148,138,160,193,156,173,159,116,119,117,115,112,111,112,113,113,114,122,136,136,185,218,154,134,138,141,114,141,122,112,213,169,151,185,169,136,103,116,114,111,112,112,112,113,113,120,136,136,180,195,136,136,155,160,153,132,109,128,194,127,142,186,177,145,115,117,114,112,111,111,111,112,112,122,136,137,171,178,119,147,162,169,162,135,124,133,137,133,153,171,164,141,115,114,113,111,110,110,111,112,113,123,135,136,175,217,142,139,164,174,160,126,120,131,133,146,154,144,127,121,111,114,114,111,110,110,112,112,112,121,135,137,177,193,208,171,141,138,128,116,124,129,132,138,147,141,111,106,107,114,113,110,110,108,110,112,111,119,136,134,213,196,185,201,158,122,90,93,119,133,136,144,156,141,112,107,106,115,112,109,110,109,110,111,112,120,133,140,173,188,200,190,178,158,108,65,74,97,143,144,146,127,109,109,110,106,103,102,101,101,102,103,105,114,127,139,147,156,176,169,172,152,141,93,75,86,139,156,136,120,116,119,119,149,145,142,139,136,131,131,132,137,144,149,156,163,166,152,142,156,182,134,81,101,112,153,162,149,139,131,125,153,149,148,147,146,146,149,150,146,144,142,140,144,148,149,147,149,205,151,103,118,104,118,138,139,130,121,115,138,138,138,136,136,137,139,137,137,138,133,130,133,136,137,140,131,153,136,139,143,137,134,124,115,115,112,108,143,144,144,143,142,143,145,145,143,144,144,143,145,146,145,146,147,143,145,146,148,148,156,156,133,116,111,107,144,145,147,146,145,144,145,145,144,145,146,145,145,145,144,145,146,146,146,147,144,143,156,167,152,135,118,125,145,146,147,147,146,144,146,147,146,147,146,147,147,146,145,145,146,146,147,146,146,145,141,154,191,144,146,154,145,145,145,144,145,144,145,145,145,146,145,146,147,145,145,147,148,147,147,146,145,145,144,144,225,213,190,181
8,186,186,187,187,187,187,187,187,186,185,182,161,162,181,183,182,182,181,179,177,176,176,175,174,172,171,169,168,186,186,187,188,188,188,188,188,187,188,181,145,143,180,184,184,183,182,180,179,177,177,176,175,173,172,171,168,187,188,189,190,189,189,190,190,189,192,176,129,137,181,185,185,185,184,182,181,179,179,178,177,175,173,171,170,189,190,190,192,192,191,192,192,191,195,170,120,145,184,187,186,186,185,184,183,181,180,179,178,177,174,173,172,190,191,192,194,194,193,193,193,194,200,168,122,155,187,188,188,187,186,185,184,182,182,181,179,178,176,174,174,192,193,193,194,195,194,194,194,196,201,160,122,161,189,188,185,186,187,186,184,183,183,182,181,179,177,176,175,193,194,195,194,195,195,196,195,198,200,157,128,167,191,185,165,171,185,186,185,184,184,183,182,180,179,178,175,194,195,196,196,196,196,197,196,202,202,168,149,173,193,190,159,145,158,168,179,185,185,184,183,181,180,179,176,195,196,196,196,197,197,197,196,203,201,179,166,181,192,194,181,153,138,131,142,171,173,177,182,182,180,179,177,196,197,197,198,198,199,199,198,204,199,185,178,192,190,183,189,178,164,134,104,118,123,131,166,183,182,181,179,197,198,198,199,200,201,200,201,206,191,182,185,194,182,159,163,177,169,141,94,72,77,81,128,180,184,183,181,199,199,200,200,201,202,202,204,198,177,174,176,184,167,134,116,160,176,147,99,65,65,70,108,175,185,183,181,200,201,201,202,203,203,205,211,192,164,154,159,174,148,112,84,137,185,155,106,68,69,74,122,179,185,183,182,200,201,202,203,203,204,212,219,198,166,138,141,163,139,110,99,144,189,160,110,68,63,91,157,186,185,184,183,201,202,203,204,204,207,221,219,196,168,142,137,164,168,163,170,175,177,152,112,71,74,138,182,187,186,185,184,202,203,204,205,205,211,225,213,193,170,149,136,162,197,197,187,180,156,138,113,82,121,179,190,189,188,186,185,203,204,205,206,207,217,225,209,192,167,144,149,185,205,191,174,175,141,123,105,90,158,192,192,190,189,188,187,204,205,206,206,209,222,225,208,192,164,153,180,207,201,182,163,162,131,104,88,102,177,195,194,192,189,188,187,205,206,207,207,210,224,224,209,191,166,173,198,206,191,172,152,146,120,88,77,131,191,196,195,193,191,189,188,207,207,207,196,192,216,219,205,185,168,176,193,190,176,158,141,130,102,73,82,162,197,197,195,194,193,191,189,207,208,200,150,121,166,196,190,172,163,169,179,177,162,144,129,109,81,65,111,185,199,198,196,195,193,191,189,207,206,170,102,78,95,139,166,165,162,162,171,169,149,128,107,84,66,80,156,197,200,199,196,195,194,192,190,208,192,125,78,70,70,83,117,145,154,152,162,156,128,104,84,68,70,129,191,201,201,199,196,196,194,193,191,201,152,90,71,66,65,63,58,78,98,113,134,128,98,78,68,70,115,182,202,202,201,199,197,196,195,193,192,163,103,73,67,63,62,62,45,38,49,58,73,77,66,56,70,123,180,201,202,202,201,199,198,196,195,193,191,103,75,67,64,60,58,62,44,26,37,38,35,35,35,42,110,183,202,202,201,201,201,199,197,195,194,192,191,71,63,59,64,60,54,58,39,20,31,33,27,25,23,29,78,157,200,203,202,202,201,199,197,195,194,192,189,68,57,51,73,68,51,54,30,17,27,28,24,22,22,20,29,115,196,204,203,202,201,200,197,196,195,192,190
14,140,140,140,140,140,141,141,141,141,142,142,141,142,141,142,141,142,142,141,141,142,141,140,140,139,139,141,104,143,142,143,142,143,143,144,145,146,145,146,145,143,144,144,144,145,146,144,144,144,143,142,142,141,139,145,87,145,145,145,144,146,146,146,147,145,146,144,146,146,147,145,149,150,146,147,147,147,145,144,144,143,144,145,118,148,147,147,149,149,149,148,148,151,156,146,136,149,148,135,131,145,151,151,149,149,149,148,148,146,146,146,137,151,151,151,153,152,151,149,160,175,141,135,133,136,124,95,111,128,134,139,155,151,153,153,151,149,148,149,145,155,154,154,156,154,160,173,169,151,82,58,82,94,92,52,47,111,94,70,157,154,155,155,153,151,152,151,149,156,156,156,159,151,176,185,108,73,48,11,25,45,52,31,26,59,62,30,135,166,158,151,156,154,153,153,153,158,157,157,161,152,184,178,96,28,18,12,7,13,22,25,18,29,38,52,67,135,132,103,117,159,153,155,155,161,160,161,163,153,191,172,112,49,23,19,14,13,12,21,18,19,55,103,67,45,126,99,101,165,156,158,156,164,162,163,163,155,192,158,88,28,12,18,28,25,12,22,26,21,36,55,28,97,148,69,126,169,159,161,160,164,163,165,162,167,193,154,109,63,25,12,24,16,29,20,45,99,135,112,79,148,134,59,138,170,162,162,161,166,166,167,163,175,196,161,124,87,52,36,16,19,53,29,95,185,169,178,154,152,133,57,132,172,163,164,163,169,169,170,163,183,202,171,129,75,49,40,34,33,38,32,137,175,166,168,140,148,123,58,119,176,164,165,164,169,170,171,165,186,208,178,130,68,41,34,31,49,34,56,177,169,172,160,146,150,118,57,95,181,166,166,166,170,171,172,168,187,208,180,144,92,48,26,28,46,32,90,187,167,174,151,162,154,110,44,125,179,167,169,168,170,171,175,167,185,211,182,146,105,60,27,25,39,20,108,176,176,164,139,165,156,86,69,178,172,171,171,170,173,174,178,165,178,210,184,155,116,65,35,30,26,24,68,90,134,131,141,154,135,61,133,184,171,174,171,171,176,175,177,166,179,209,186,156,124,81,45,14,29,42,59,89,107,117,135,139,100,72,175,176,176,177,175,173,176,176,178,168,180,208,191,160,129,93,59,16,35,49,80,109,121,117,112,111,65,119,187,177,179,178,176,174,177,176,180,167,177,207,192,165,134,99,68,29,33,63,100,122,126,105,90,74,53,168,181,179,178,179,178,177,179,177,180,167,170,206,190,169,138,104,71,45,32,62,103,123,123,101,72,51,81,190,176,178,179,180,180,180,179,177,181,170,168,202,190,172,142,111,74,56,35,52,100,122,116,87,61,53,156,186,180,181,179,179,180,179,182,181,181,169,172,198,189,173,146,119,83,65,47,48,106,119,106,78,43,105,196,180,182,182,181,181,180,179,183,182,185,167,176,203,188,171,152,126,83,70,63,43,103,103,89,68,38,155,193,183,184,183,182,182,183,182,183,183,189,168,183,207,186,171,159,130,87,72,67,46,82,89,81,54,63,189,187,185,184,184,183,182,183,182,184,184,187,169,196,202,189,184,160,131,88,71,62,50,67,74,72,38,128,199,186,187,186,185,184,183,183,182,185,184,181,167,204,204,192,178,150,115,81,66,58,53,60,62,51,77,190,190,188,188,187,185,185,185,184,183,186,187,173,170,200,200,189,163,129,97,72,59,52,57,59,59,52,162,197,188,189,189,188,186,186,186,185,184
17,149,154,156,162,167,171,173,178,181,182,184,187,188,189,189,188,188,189,186,181,188,186,186,186,185,184,182,181,151,155,158,163,169,173,177,180,182,185,186,188,189,190,191,192,188,195,197,135,174,191,186,187,186,184,183,182,153,156,158,163,169,175,179,181,184,186,188,190,191,192,194,191,201,194,143,107,159,197,188,188,187,186,186,184,154,158,160,165,171,178,180,182,185,188,190,193,193,195,196,190,211,205,153,84,155,200,190,190,188,188,187,186,155,159,162,167,173,179,181,185,187,190,192,194,196,195,196,193,205,210,180,98,163,200,191,191,190,189,188,187,157,160,163,168,174,179,183,186,188,192,193,195,196,197,197,196,201,223,199,126,174,200,194,193,193,192,190,188,159,161,165,170,176,181,184,187,191,193,194,197,199,199,200,199,204,232,206,145,171,203,195,195,193,193,192,190,160,163,166,172,177,182,185,188,192,193,196,199,199,200,200,198,207,235,209,149,150,206,197,198,194,194,194,193,161,164,167,174,179,183,186,190,193,196,199,200,202,205,203,199,220,239,221,165,128,204,199,200,198,196,195,193,162,165,168,176,180,184,188,192,194,197,200,201,182,185,207,204,231,235,218,172,122,200,202,200,199,199,196,194,164,167,170,176,181,186,191,194,196,199,205,204,170,115,196,220,195,202,210,166,118,195,204,201,200,200,199,197,165,167,171,177,183,187,192,194,196,193,206,196,171,95,130,172,152,195,206,168,111,193,206,202,202,200,200,199,166,168,172,178,183,188,191,198,205,206,209,173,165,151,114,103,157,208,190,172,117,191,209,204,202,202,201,201,167,169,174,181,185,191,191,209,223,211,229,209,203,184,128,91,155,193,180,167,121,181,212,204,203,204,202,202,168,171,174,182,187,192,193,209,222,166,198,220,205,180,160,115,107,148,160,152,114,164,216,205,206,205,204,203,169,171,176,182,188,193,197,201,214,178,117,137,171,188,186,154,103,93,120,129,109,154,218,206,207,207,205,204,169,172,178,184,189,194,199,200,216,197,142,79,113,162,203,178,143,106,92,113,100,162,220,207,209,208,206,205,171,172,178,185,190,196,199,203,228,208,222,119,109,175,215,185,162,136,93,91,85,169,219,209,210,210,208,206,172,173,179,186,191,197,202,201,238,226,180,136,140,244,219,191,168,144,90,75,75,183,219,211,211,210,209,207,173,175,179,187,193,198,203,201,240,221,168,175,211,236,216,174,167,132,87,73,86,211,215,213,212,212,210,209,173,176,180,187,194,199,203,203,239,215,198,194,246,208,205,181,147,128,89,65,144,228,212,214,213,213,212,210,174,176,182,189,195,200,205,207,234,229,199,203,243,210,204,202,154,111,85,73,200,222,215,215,214,213,213,211,175,176,182,190,195,201,206,207,230,237,200,209,233,206,188,184,143,99,78,92,220,217,217,217,215,214,213,212,174,177,182,190,197,202,207,206,223,237,205,195,212,179,165,149,108,91,70,128,231,216,219,217,215,215,214,214,175,178,184,190,197,201,207,209,218,230,191,167,183,168,150,125,98,95,73,190,230,219,220,218,217,215,215,214,174,176,183,190,195,201,207,207,218,223,164,155,173,182,160,128,107,81,114,229,220,221,220,219,218,216,215,214,173,175,182,190,194,208,145,57,184,219,197,196,181,186,172,128,105,75,176,229,220,221,219,218,217,216,214,214,173,175,183,189,200,184,99,51,135,219,201,188,182,180,169,131,94,89,209,224,221,221,220,219,218,216,215,214
15,78,77,78,80,80,81,84,92,101,109,116,123,128,131,132,134,138,142,146,149,152,154,155,157,159,161,162,164,77,77,79,79,79,81,84,93,101,110,117,123,129,132,132,135,138,142,147,150,152,155,156,158,160,162,163,165,77,78,78,79,81,81,84,94,102,111,117,125,130,132,132,135,139,143,147,150,153,155,157,159,161,163,165,167,77,77,78,79,82,81,85,94,103,111,118,125,130,133,133,134,140,145,148,150,154,156,158,161,162,164,165,167,77,77,80,78,78,80,85,95,105,111,119,126,130,133,134,136,140,145,148,151,154,156,159,161,163,165,166,167,78,79,75,89,102,87,87,95,105,113,120,127,132,134,134,137,141,145,149,152,155,157,159,161,164,165,166,168,78,77,76,155,133,114,112,107,104,107,118,124,123,124,130,138,145,148,151,153,154,158,160,162,165,166,167,169,78,76,83,146,119,107,107,104,95,109,109,111,105,106,107,112,122,136,147,155,160,160,160,162,164,166,167,169,78,79,76,96,96,83,88,80,82,103,94,97,93,110,111,107,107,109,116,122,129,147,166,163,164,166,168,170,79,77,79,78,78,79,81,77,80,84,81,78,84,109,107,105,108,110,118,107,95,90,124,172,163,167,169,171,77,78,78,80,80,81,87,97,104,105,107,104,97,98,94,92,88,113,125,116,104,102,76,129,175,165,170,172,77,78,78,79,80,80,86,97,106,117,123,130,134,119,91,87,115,129,128,121,101,115,98,71,146,175,168,172,78,78,79,79,80,80,87,98,107,112,125,140,131,117,100,124,156,117,129,106,129,121,110,91,76,164,174,171,77,77,78,78,80,79,88,99,103,129,161,134,106,101,89,98,143,99,94,136,141,115,137,113,73,95,180,172,76,76,76,76,79,77,86,99,97,157,161,103,94,103,101,83,100,70,94,170,108,115,142,123,94,59,132,183,76,76,75,76,77,78,86,99,98,146,136,92,101,115,120,113,94,72,106,133,81,112,142,130,101,73,71,145,76,75,74,76,77,78,87,99,98,142,128,77,110,121,129,119,91,88,94,96,102,116,122,115,96,75,68,74,75,74,75,76,77,77,86,99,98,143,168,105,101,122,128,111,83,84,93,96,106,111,99,82,80,72,69,71,74,74,74,76,76,76,85,98,100,143,143,163,128,96,88,82,80,90,91,94,100,111,99,72,71,71,71,74,73,74,73,75,75,76,84,97,100,174,144,147,150,115,83,49,55,80,95,98,107,115,95,73,72,72,73,75,71,72,72,73,73,75,84,95,102,130,140,153,142,134,111,67,32,40,63,106,104,100,82,73,75,76,75,74,73,72,71,71,70,73,83,93,103,109,118,129,122,125,110,102,55,47,60,104,115,98,85,84,85,84,79,75,116,112,109,106,108,109,109,111,113,116,120,121,107,103,124,147,86,48,72,73,110,120,109,98,90,84,77,75,99,99,98,100,102,101,100,99,93,93,95,98,101,98,105,158,89,80,85,72,83,93,93,88,81,77,73,72,102,102,102,102,102,101,102,104,99,99,102,102,103,104,99,110,95,106,106,102,100,89,78,75,74,70,68,68,106,104,103,104,105,104,103,105,106,105,107,106,105,107,108,103,107,105,107,108,121,115,96,82,76,71,68,69,108,107,105,105,106,105,106,106,106,107,106,107,106,106,106,106,107,107,105,104,116,122,113,90,85,94,86,72,107,106,105,104,106,107,107,107,107,108,108,107,106,107,106,106,107,107,106,108,98,122,150,107,115,119,105,91
0,149,149,152,152,152,153,153,153,153,153,152,153,153,152,153,153,153,151,151,150,151,150,148,147,147,148,147,146,152,153,153,154,154,154,154,154,153,153,152,155,154,154,155,153,152,153,154,153,151,153,151,147,148,150,149,148,153,155,156,156,157,158,157,156,155,157,156,155,155,156,156,159,155,154,155,156,153,147,139,153,150,151,150,150,157,159,159,157,158,159,159,159,158,157,159,159,158,158,140,121,146,152,129,115,149,154,85,148,152,151,151,151,158,159,158,158,159,160,161,161,160,160,148,129,150,172,144,102,77,137,125,99,81,134,98,102,163,151,151,152,158,159,159,160,161,161,161,160,161,177,154,108,116,174,145,126,74,130,133,123,74,63,140,83,119,155,155,154,158,161,160,162,162,161,165,138,130,183,158,134,117,171,146,134,71,136,137,118,84,32,120,121,84,91,157,153,159,161,161,162,160,168,181,155,106,149,177,139,108,178,154,129,59,144,135,96,91,13,69,140,116,52,131,161,161,162,163,164,161,178,180,169,144,104,181,144,94,173,159,123,56,113,120,75,75,2,81,153,132,68,113,165,162,164,164,164,170,170,168,177,151,81,156,154,87,144,159,108,55,57,91,66,55,4,120,157,135,71,104,169,161,163,164,162,171,155,117,146,123,66,114,138,80,95,123,80,60,24,52,73,44,30,134,152,128,67,94,169,162,163,165,164,167,171,128,133,98,47,83,109,68,54,89,66,44,12,90,133,110,105,126,137,121,62,90,170,163,166,168,167,171,183,151,139,100,62,68,90,69,35,67,84,81,127,157,144,134,122,102,109,113,67,79,170,166,168,169,167,178,178,147,123,105,78,42,98,98,21,73,154,169,171,157,140,126,113,95,84,95,74,72,168,167,168,169,165,184,194,172,151,124,90,62,93,92,98,163,180,173,162,151,136,121,106,85,75,79,65,88,170,169,168,171,167,186,197,179,156,133,126,126,122,143,176,181,173,167,154,145,131,114,94,76,71,74,56,136,170,169,170,172,168,192,203,182,158,140,136,135,149,165,171,177,172,157,152,137,120,107,85,71,76,59,110,171,165,169,170,174,171,193,207,188,171,158,147,149,162,170,174,175,162,153,148,126,111,96,77,74,62,79,171,167,167,169,170,173,169,191,208,196,179,163,152,151,164,175,173,165,151,142,137,117,100,85,76,70,55,144,173,167,167,170,171,173,171,184,207,203,189,166,150,144,150,157,153,154,137,121,121,100,87,83,73,54,123,175,167,169,169,172,173,174,175,176,199,197,184,167,149,142,148,151,154,151,133,114,110,89,80,73,64,124,174,168,171,171,170,173,174,175,176,173,185,185,168,155,137,141,148,142,152,145,129,118,105,86,66,67,143,176,171,170,171,171,170,173,175,176,176,176,181,169,165,159,148,161,152,127,146,142,121,107,95,73,51,142,180,170,172,171,171,172,172,174,176,177,177,177,181,177,184,175,165,162,154,119,135,142,116,97,85,46,98,184,171,175,174,173,173,173,172,175,176,176,176,176,183,195,192,181,155,153,149,113,132,128,109,93,72,47,151,181,174,176,175,173,174,174,173,175,176,177,177,177,174,203,192,178,146,149,145,118,125,114,105,90,58,60,174,177,176,176,174,174,175,175,174,175,176,177,177,177,171,197,185,169,141,150,153,115,106,112,100,88,54,73,184,175,178,177,176,176,176,175,174,175,176,176,177,176,173,195,175,160,140,150,149,104,113,109,96,84,52,76,184,176,177,177,177,176,176,176,175
11,110,116,121,124,128,131,134,137,138,141,143,144,146,149,150,152,153,154,156,157,157,158,159,159,159,158,158,158,111,117,123,126,130,132,135,136,140,142,144,147,148,150,152,153,154,155,156,159,160,161,160,161,160,160,161,160,112,118,124,128,131,133,136,139,141,143,145,149,151,152,154,153,158,159,158,160,161,162,161,162,161,161,161,161,113,118,124,128,132,135,137,139,142,143,147,149,152,153,154,155,140,155,161,161,162,161,162,163,163,163,163,162,114,119,124,128,132,135,137,140,144,147,149,151,153,154,154,164,113,115,168,161,163,163,164,165,165,164,163,163,113,118,124,129,133,135,138,141,144,148,151,152,153,155,154,172,116,102,169,161,164,164,165,165,164,164,164,164,115,120,125,130,134,136,139,141,144,148,151,153,155,156,156,175,97,114,171,162,165,166,166,166,166,165,165,165,116,121,126,131,135,136,139,142,145,149,151,153,155,154,164,174,90,131,171,165,167,167,167,167,167,166,166,166,116,122,128,131,135,138,140,144,145,148,151,153,154,155,176,148,86,147,170,166,167,167,168,167,166,167,167,167,116,122,128,132,135,138,141,144,146,149,152,153,153,155,174,107,88,164,167,166,167,167,167,168,167,168,167,167,116,122,127,132,137,139,141,145,149,150,148,161,172,114,110,90,106,173,164,166,167,168,168,168,167,168,168,166,117,122,127,132,135,139,146,144,134,167,146,114,145,113,79,77,140,171,165,168,168,168,168,168,168,168,169,168,117,123,129,131,143,175,175,153,87,130,144,82,114,109,71,73,163,167,166,169,169,169,169,169,169,168,168,169,118,123,127,137,170,145,159,155,86,119,124,81,139,103,56,93,175,165,167,169,169,169,170,171,171,170,169,168,118,124,125,150,147,120,137,149,84,118,104,89,137,87,49,114,176,165,168,168,168,170,170,171,170,171,170,168,119,125,129,167,137,99,112,135,75,106,86,98,118,74,48,127,174,165,167,168,171,172,173,170,169,171,170,169,120,120,145,173,138,105,112,96,70,101,68,104,105,62,41,131,177,167,169,168,162,158,160,174,175,171,171,170,121,120,168,166,134,109,97,84,86,93,49,128,84,45,53,101,164,161,157,152,144,137,119,121,162,175,170,171,119,125,182,158,132,114,93,74,109,78,33,91,76,83,108,106,132,152,158,152,137,117,108,98,91,167,173,171,119,128,175,158,141,124,100,90,101,106,119,127,140,141,131,137,150,139,121,110,106,124,144,135,115,164,174,171,118,126,169,160,147,132,107,108,133,157,148,146,143,139,123,117,114,94,116,148,168,177,177,176,176,173,173,172,118,126,180,164,147,132,109,115,146,152,136,144,138,126,95,83,102,148,177,175,173,171,172,172,173,174,173,172,117,136,188,150,137,117,108,116,137,137,136,133,118,83,74,126,169,174,170,171,172,172,174,174,174,174,174,173,112,149,166,126,123,115,115,119,119,125,126,103,70,86,149,173,168,169,170,171,171,172,173,173,173,173,174,173,110,156,161,129,123,132,122,123,108,108,96,66,110,164,166,162,166,168,168,168,168,170,171,171,172,169,170,172,114,168,167,130,123,148,127,115,96,86,67,122,167,161,161,162,164,166,166,167,168,168,169,171,171,185,189,192,120,174,169,124,124,150,124,104,84,60,105,163,155,160,161,162,164,165,166,167,168,168,171,169,192,201,200,188,120,175,169,119,125,147,121,103,72,60,145,154,155,158,159,161,163,164,166,167,168,169,170,169,161,134,174,187
22,174,180,185,188,190,193,196,200,202,202,204,205,206,206,204,206,209,206,207,205,203,205,203,201,200,198,198,197,180,184,188,191,193,196,199,202,205,202,210,209,209,208,216,200,187,212,207,208,207,207,207,205,202,200,200,199,183,187,191,193,197,199,202,205,207,223,178,202,215,207,245,192,127,219,209,210,212,212,209,208,206,205,204,202,183,190,194,198,201,203,205,207,214,250,133,182,225,211,249,187,134,220,212,216,188,192,215,208,208,207,207,207,186,192,197,201,205,208,209,209,218,242,139,173,228,215,238,175,143,224,214,223,160,143,224,210,212,210,210,209,190,194,200,203,206,209,211,213,215,246,159,158,232,219,230,180,154,228,221,234,152,149,227,214,215,212,212,211,191,196,201,206,209,211,214,218,215,251,186,152,231,222,237,191,158,229,228,237,144,170,229,217,217,215,216,215,195,199,204,209,212,214,218,222,218,253,213,147,224,228,227,185,155,230,242,236,135,196,228,219,220,218,217,217,198,203,209,212,214,217,219,223,219,252,217,133,209,232,225,179,156,236,251,226,133,216,229,223,222,222,220,219,198,205,210,212,216,220,222,226,221,255,250,144,187,238,241,173,158,246,251,193,133,231,228,226,226,225,222,221,201,206,211,215,219,222,225,229,223,245,250,152,178,244,243,160,171,255,255,157,152,242,226,228,228,227,225,223,204,209,214,218,220,223,228,230,253,238,222,178,172,213,235,151,200,255,241,130,193,243,231,232,230,228,227,225,204,209,215,219,223,226,227,237,255,227,242,255,232,169,168,233,236,246,202,124,226,239,235,233,232,231,230,230,206,212,216,222,227,229,229,243,255,214,159,255,255,197,111,187,208,215,157,141,245,236,237,236,234,234,232,231,208,216,220,224,229,232,231,250,255,240,131,140,250,234,168,103,143,162,114,172,250,237,238,237,235,235,234,232,212,218,221,226,231,236,231,255,255,213,159,83,158,255,222,143,101,111,97,209,250,239,239,237,236,236,235,235,214,220,224,228,232,238,234,255,245,188,149,151,148,244,255,195,141,106,97,225,249,242,240,239,239,236,236,236,214,222,226,230,235,238,236,255,255,200,177,190,195,255,255,211,175,106,98,242,248,245,243,243,241,238,237,237,216,224,229,233,237,240,240,255,253,196,182,211,252,255,241,196,160,93,109,254,247,246,246,244,243,241,240,239,218,225,231,234,239,243,243,255,255,217,208,209,255,255,231,171,144,88,148,255,246,249,247,246,246,243,242,239,219,226,233,236,240,245,245,255,255,230,218,209,255,255,211,159,131,85,187,255,249,251,249,248,247,245,243,241,221,227,233,238,243,246,245,255,255,239,230,218,255,237,194,150,121,82,202,255,251,253,252,250,248,246,245,244,223,229,234,239,243,247,246,255,255,250,244,221,255,217,181,143,110,83,218,255,253,255,255,252,251,249,248,247,223,229,235,239,243,249,250,255,255,254,249,220,255,206,171,130,105,95,236,255,254,255,255,254,253,252,250,249,225,232,237,241,246,250,251,255,255,248,230,198,237,195,172,139,98,123,255,255,255,255,255,255,254,253,251,249,226,232,238,244,248,250,254,255,255,236,201,198,237,178,184,147,81,185,255,255,255,255,255,255,254,254,254,251,227,234,240,245,249,253,253,255,255,255,231,228,239,171,194,117,94,252,255,255,255,255,255,255,255,255,255,252,226,233,239,244,249,253,253,255,255,255,253,245,227,169,179,93,140,255,255,255,255,255,255,255,255,255,255,253
12,157,161,165,167,170,172,174,176,177,177,177,177,178,177,177,177,177,178,177,175,175,174,173,172,172,171,169,167,159,162,166,169,171,173,176,178,178,178,179,179,179,179,179,182,180,177,178,176,177,177,176,175,174,172,171,170,159,163,166,170,172,174,177,178,179,181,180,179,180,184,179,164,174,183,180,183,179,179,179,178,177,176,173,172,160,164,167,171,174,176,178,179,181,181,187,173,143,167,195,159,122,165,176,154,178,182,180,179,178,177,175,175,161,165,168,171,175,177,178,180,183,180,207,206,175,132,157,207,158,106,135,136,123,183,182,181,179,179,178,177,164,167,170,173,177,179,182,183,181,194,206,205,199,151,92,172,178,108,77,142,105,136,191,181,181,180,179,178,166,169,172,176,178,180,183,185,179,214,180,180,202,141,86,146,165,108,68,112,114,84,185,183,182,182,180,179,167,170,174,177,180,185,184,182,188,160,127,187,183,125,77,155,153,98,76,116,103,84,187,184,184,183,182,181,169,172,176,178,183,183,186,209,199,130,86,134,167,141,70,141,179,115,77,138,105,99,194,184,186,185,183,181,171,174,178,181,182,190,214,211,199,147,89,85,172,144,57,146,196,112,88,179,108,130,197,184,186,185,184,183,172,176,181,182,187,216,187,174,206,159,91,47,136,129,34,90,184,98,77,164,115,173,192,187,187,186,184,184,175,178,184,183,205,214,182,152,189,148,92,47,60,69,50,86,111,115,122,133,85,166,197,188,188,188,185,184,177,181,184,188,205,183,156,115,163,148,95,52,55,59,137,197,159,156,137,122,99,113,200,189,190,189,187,185,179,184,187,186,209,187,160,106,134,150,91,57,64,111,174,188,180,155,122,96,111,89,182,195,190,190,188,186,182,185,190,185,210,192,166,126,111,145,119,66,89,161,186,181,175,155,119,97,91,87,188,195,191,191,190,187,185,188,190,194,215,197,175,148,104,123,140,74,154,195,191,183,180,139,112,98,63,123,206,193,192,190,188,187,187,191,190,202,219,203,182,153,125,107,109,129,195,195,198,195,165,121,108,88,65,184,199,194,196,198,200,193,189,192,193,207,216,208,191,159,146,132,118,166,182,190,200,185,142,114,107,65,110,214,204,205,188,165,128,90,191,194,195,203,209,211,195,167,160,147,128,166,167,197,198,167,131,110,97,65,182,191,150,109,70,52,46,40,193,196,199,196,211,213,197,175,172,156,133,174,169,194,188,146,120,101,82,82,113,62,44,36,38,39,42,51,196,198,203,197,205,206,194,179,173,158,141,166,187,172,162,129,108,93,73,43,34,34,40,36,40,35,32,46,199,201,205,202,198,206,195,182,169,157,148,154,177,159,137,118,99,88,49,24,34,43,31,30,39,41,26,34,199,202,206,202,193,210,195,181,167,156,141,143,164,150,125,109,93,72,49,19,23,45,38,22,29,42,36,25,200,203,208,202,197,209,187,171,161,154,135,143,157,141,108,98,81,49,55,31,12,30,44,29,20,33,40,29,204,207,211,203,198,207,173,155,159,149,135,147,146,126,97,84,47,22,45,47,12,14,36,40,20,21,36,36,204,207,211,203,196,217,174,164,172,160,146,148,136,112,93,66,40,13,30,49,25,3,22,38,34,15,26,38,206,208,217,189,184,219,183,184,189,161,143,142,127,106,87,45,40,20,18,37,37,4,9,28,40,25,18,33,207,208,225,153,149,222,196,204,192,152,144,145,124,102,77,44,31,29,9,25,41,13,0,19,37,35,19,22
13,149,151,157,168,176,181,185,187,191,194,201,203,205,208,212,213,214,215,215,217,218,216,217,216,217,218,217,216,152,155,160,169,177,182,186,188,192,197,201,205,207,211,214,215,216,217,218,220,220,219,219,218,221,222,221,218,155,158,164,172,181,185,188,191,195,200,203,207,210,213,216,217,217,220,220,219,220,221,222,222,223,223,223,221,157,160,167,175,184,188,191,195,198,202,205,208,212,216,217,214,219,213,218,230,230,225,224,225,226,224,223,223,159,162,169,177,184,189,194,198,202,205,208,211,216,217,226,255,252,196,142,191,209,224,233,226,227,227,226,226,161,164,171,180,187,193,196,201,204,207,212,213,218,215,218,244,255,194,116,83,143,146,199,234,227,229,229,228,161,167,174,181,188,194,198,201,205,212,215,221,235,177,152,168,239,201,124,78,159,128,98,235,231,230,229,229,162,167,176,182,190,196,198,205,208,214,201,250,255,222,168,109,186,243,164,83,167,125,97,233,233,232,231,231,163,168,179,185,192,197,201,205,210,234,167,144,253,255,206,118,88,239,172,84,176,141,111,242,232,234,233,232,166,171,178,186,194,199,203,203,247,255,193,113,143,255,227,150,51,113,147,70,215,150,156,247,234,236,234,233,169,172,180,190,195,201,199,242,245,253,230,161,68,231,219,140,58,31,70,71,179,117,185,250,235,238,236,235,169,174,185,193,198,198,224,252,182,222,241,177,62,168,208,124,57,24,83,137,155,119,121,245,240,239,239,238,171,177,189,195,200,202,255,250,192,193,212,147,65,127,206,151,52,70,171,181,144,122,100,188,253,238,242,239,176,182,191,199,200,220,251,215,163,168,188,118,48,88,223,169,60,174,220,187,138,101,109,124,251,241,242,242,177,184,194,204,202,237,255,224,175,140,163,119,43,34,201,147,129,240,214,178,136,107,91,117,252,243,243,244,179,187,199,209,206,242,255,231,195,128,121,109,46,95,212,211,236,227,195,156,129,102,65,178,255,244,247,246,180,190,203,212,208,252,255,243,203,148,114,118,157,219,252,255,246,212,177,143,119,85,85,242,249,247,247,247,183,194,206,215,212,255,255,255,203,173,184,176,195,226,248,242,233,199,163,138,107,62,135,255,244,250,249,249,188,200,211,218,217,255,255,255,219,199,201,165,214,230,241,243,215,182,152,124,97,50,192,255,249,251,250,250,193,206,216,224,224,249,255,255,237,215,205,179,221,246,229,223,191,161,135,114,71,93,255,254,255,254,253,253,197,209,220,228,230,234,255,255,249,223,202,187,209,239,225,193,172,145,130,101,74,228,255,255,255,255,255,255,201,212,222,228,236,231,255,255,250,233,218,201,196,225,218,183,156,130,121,73,195,255,255,255,255,255,255,255,204,215,225,230,238,235,242,255,253,247,239,214,194,214,208,170,129,125,86,145,255,255,255,255,255,255,255,255,206,218,229,236,242,238,233,255,244,238,231,204,185,198,187,155,113,108,96,252,255,255,255,255,255,255,226,150,209,222,233,240,243,244,238,255,211,211,222,207,187,189,172,147,122,80,178,255,255,255,255,255,255,178,60,30,211,223,234,240,246,246,238,255,222,225,237,226,192,175,164,148,123,77,229,255,255,255,255,255,165,51,50,20,212,225,234,239,244,248,234,255,238,241,251,226,199,169,162,147,119,81,250,255,255,255,215,110,42,52,65,22,213,227,236,241,245,252,235,255,255,255,255,228,204,173,159,148,113,84,255,255,255,214,67,40,22,37,64,44
21,163,167,168,171,173,175,176,179,182,183,183,182,181,187,184,184,186,186,183,184,184,184,186,185,182,182,181,179,165,168,170,173,175,177,180,182,183,185,183,191,200,165,185,188,188,188,186,186,186,186,187,187,186,184,184,183,166,169,172,175,177,180,182,183,184,187,184,204,232,157,158,195,190,190,190,190,190,190,188,188,189,189,186,184,169,171,174,177,179,181,184,186,187,190,191,188,232,192,130,188,194,191,193,191,191,192,190,193,183,178,189,186,169,173,176,178,181,183,186,188,190,191,193,188,213,222,160,165,198,193,194,193,194,194,191,214,170,132,194,188,170,175,178,181,182,184,187,190,192,191,192,191,197,240,201,149,191,198,196,196,197,193,199,224,157,137,197,188,172,177,180,182,184,187,189,192,193,193,194,196,192,235,220,151,170,202,197,197,197,192,215,217,140,161,198,190,175,178,181,183,186,189,190,192,193,195,196,198,191,222,231,168,152,202,198,198,198,199,230,201,137,185,199,195,177,179,182,185,189,191,191,194,195,196,198,199,195,211,228,191,142,199,201,201,197,212,221,175,135,200,196,196,178,181,184,187,190,192,194,196,197,199,200,197,210,241,218,197,125,158,209,198,202,227,210,142,157,207,196,197,179,183,185,189,191,193,196,196,197,199,199,205,216,237,222,194,154,123,189,206,214,229,199,131,192,204,200,198,181,183,186,190,193,196,197,197,198,201,203,244,211,202,242,212,203,190,151,181,205,211,162,145,210,201,202,200,182,185,188,191,195,197,197,198,202,201,213,226,226,206,189,197,232,215,147,120,165,168,125,177,210,203,203,202,183,186,189,191,195,197,198,201,203,199,217,216,188,150,99,110,204,214,163,115,129,132,122,203,206,204,205,203,184,188,190,193,197,198,200,203,205,201,221,212,148,147,129,108,151,233,191,133,108,110,136,213,206,206,204,204,185,189,191,195,197,199,202,204,206,203,226,221,204,181,139,140,135,226,217,153,108,96,155,218,207,208,207,206,186,190,193,196,198,201,203,205,207,203,238,240,194,162,142,161,157,227,236,179,125,91,161,219,207,210,209,209,188,191,195,197,199,202,203,205,208,207,242,221,172,158,163,179,190,246,235,193,144,98,155,221,207,210,209,209,188,191,194,197,200,203,205,206,208,209,240,226,194,186,186,188,219,250,227,191,149,100,155,221,208,210,209,209,186,190,194,197,200,203,204,205,208,205,241,238,206,190,196,204,234,250,225,183,156,103,152,223,209,211,210,210,189,193,195,198,201,203,204,207,210,205,237,246,218,192,202,215,245,249,230,186,155,106,156,223,210,212,211,210,190,194,197,200,202,204,205,208,211,206,233,250,221,204,202,226,250,239,222,182,152,104,162,224,212,213,213,212,191,195,197,199,202,204,207,209,213,211,228,250,226,223,213,229,250,237,214,183,145,102,156,227,214,215,214,214,191,195,197,202,204,206,210,211,213,213,220,249,236,234,228,224,244,224,205,180,138,99,152,228,215,217,215,215,193,196,199,202,204,208,211,212,214,214,213,238,243,238,230,218,228,207,191,176,133,94,159,228,216,216,220,218,187,191,195,199,203,207,210,212,214,217,213,229,248,237,217,198,208,198,181,181,128,86,189,234,223,227,206,147,134,135,139,143,145,146,150,152,152,152,154,174,246,228,199,172,183,199,178,176,117,86,171,182,181,185,126,99,107,108,109,108,107,109,112,111,107,112,98,84,226,209,178,162,176,200,166,166,102,70,89,105,114,115,93,94
4,154,159,165,168,171,174,176,178,180,182,181,184,185,188,189,188,187,186,188,186,186,187,185,185,184,184,184,184,155,160,166,169,171,172,175,179,181,183,183,185,187,187,188,191,191,186,192,191,188,187,186,186,186,186,185,185,157,162,166,170,173,174,177,180,181,185,185,187,186,199,196,168,174,205,180,174,193,190,188,189,188,186,185,184,159,165,168,171,174,177,178,182,183,181,193,183,191,235,192,165,147,225,177,136,160,196,192,192,190,189,186,186,160,165,168,172,175,178,180,184,180,209,242,203,169,237,203,161,176,231,182,129,119,191,151,187,194,189,188,188,163,166,170,174,176,179,182,185,179,240,255,236,144,192,226,147,191,239,179,116,187,181,111,121,197,187,187,188,162,168,174,175,180,182,184,182,197,245,246,220,133,174,228,143,192,223,163,174,208,140,108,76,173,195,188,189,164,170,174,176,181,183,186,178,224,227,224,206,116,151,196,198,194,204,232,251,187,106,87,75,172,197,190,191,165,169,174,179,182,184,187,179,239,218,204,207,116,118,180,193,221,236,249,229,196,136,79,71,185,196,192,194,165,170,176,180,182,187,184,202,253,215,177,203,122,93,176,113,155,202,209,192,208,159,91,82,195,196,194,194,165,171,175,179,182,188,180,233,238,184,166,146,92,99,181,90,131,187,153,193,220,175,103,114,205,196,195,195,167,173,176,182,184,186,187,253,222,168,146,140,110,114,137,99,125,181,80,202,243,195,124,114,207,195,197,195,170,173,177,182,185,185,195,255,223,169,137,121,104,118,112,125,133,155,133,200,255,213,148,86,182,203,197,197,170,174,179,182,188,184,210,255,222,169,132,114,108,124,123,171,169,198,232,212,229,205,152,93,136,210,197,200,169,175,180,183,189,183,225,255,223,161,134,130,118,111,127,179,197,233,222,224,187,173,163,110,126,211,198,200,169,176,181,184,190,182,237,255,222,159,157,155,122,118,171,223,239,231,221,204,166,135,149,101,158,211,201,201,169,174,178,182,188,182,244,255,219,182,196,164,144,202,245,255,237,230,213,179,147,120,108,103,197,202,200,200,169,174,179,182,188,184,249,255,236,220,215,168,176,248,254,255,241,212,193,163,138,113,85,154,211,199,201,201,170,175,180,183,190,184,248,255,253,226,212,188,181,253,255,255,231,184,174,151,133,98,105,204,203,203,203,203,170,175,180,184,190,184,239,255,255,230,206,192,195,255,254,236,210,171,153,142,120,85,164,213,204,203,203,203,171,178,181,185,191,183,225,255,244,229,208,194,202,238,231,207,183,157,150,135,93,112,210,206,208,204,204,203,172,177,181,185,191,185,223,255,227,220,217,199,198,215,212,190,162,149,147,118,84,180,213,204,205,206,203,202,170,174,181,184,191,185,217,246,212,218,220,194,186,214,210,186,150,134,134,94,139,215,205,205,203,204,202,200,171,178,184,187,193,190,212,241,213,216,210,189,174,211,211,167,128,122,112,118,209,213,211,212,211,209,209,207,138,141,141,141,145,139,170,255,227,224,204,194,168,199,202,146,117,115,97,120,147,140,140,140,138,138,138,141,94,91,90,90,93,84,119,255,245,232,214,205,170,187,200,144,113,101,95,85,83,82,81,80,79,80,78,73,104,103,102,104,107,104,113,255,254,229,214,210,169,166,206,151,108,94,91,95,96,95,93,92,93,91,87,171,104,104,104,105,106,105,100,240,254,222,202,205,172,153,196,147,103,91,88,95,97,96,93,92,96,81,177,251
7,141,153,161,167,172,174,176,177,180,183,184,185,185,187,187,188,187,187,186,186,185,182,181,180,178,177,176,174,143,154,162,168,172,176,177,178,182,185,186,187,188,188,189,189,188,188,188,187,186,185,183,181,181,180,178,175,144,155,163,169,174,176,178,180,183,186,186,188,189,190,191,191,190,190,189,189,187,186,184,183,182,181,180,178,146,156,165,170,175,177,180,182,185,186,187,190,192,192,193,192,192,192,192,191,189,188,187,186,185,183,182,180,147,156,165,171,175,179,181,184,186,188,189,191,192,193,193,194,194,193,193,192,191,189,189,188,186,185,184,181,148,157,166,172,177,180,181,185,188,189,191,193,193,194,195,195,195,195,194,194,193,192,191,189,188,186,184,183,149,158,166,173,179,181,182,186,189,190,192,193,194,195,195,197,197,197,195,195,193,192,191,190,189,188,186,185,149,158,167,173,179,182,183,186,189,191,192,193,191,190,187,179,172,169,168,168,157,149,161,165,175,188,187,186,150,159,168,173,179,183,181,170,162,157,155,155,148,137,131,135,113,118,122,122,120,120,157,157,145,189,189,187,151,160,168,173,179,180,163,136,123,129,130,135,134,127,121,111,106,104,107,104,109,106,115,114,143,184,189,189,152,160,168,173,176,170,153,124,107,111,113,116,118,119,121,122,121,108,109,116,111,108,103,99,111,133,159,189,153,161,168,168,165,156,147,131,117,112,119,128,133,134,132,128,121,98,98,114,105,97,96,90,104,121,123,187,157,166,165,162,156,154,148,135,127,128,133,139,131,128,125,120,104,93,94,98,93,88,87,84,88,103,138,190,172,167,165,162,159,156,142,117,101,107,117,118,110,109,105,99,93,104,117,134,144,153,159,163,167,175,188,192,174,170,169,165,156,140,132,99,85,95,92,81,99,137,151,169,184,194,200,203,202,201,200,200,198,196,195,194,173,171,167,153,138,134,122,97,84,74,64,59,71,99,107,151,205,205,204,203,203,202,202,200,198,197,195,193,173,170,156,141,131,124,125,121,100,74,69,71,70,68,63,69,190,206,206,205,204,203,202,201,200,197,196,194,168,155,137,129,127,126,133,134,107,74,70,72,73,70,66,70,191,206,206,205,205,204,203,202,202,200,198,195,148,136,126,123,119,114,117,113,86,68,62,62,68,67,64,65,182,207,206,206,206,205,203,203,201,200,198,195,133,127,122,120,115,103,100,92,77,59,53,63,71,69,65,78,181,208,206,207,206,205,203,202,201,200,197,195,127,120,115,108,100,89,87,91,87,70,69,76,76,70,86,182,207,208,207,207,206,205,203,202,202,200,199,196,116,107,102,98,95,94,101,106,92,75,73,73,80,100,176,206,208,207,207,207,206,204,202,201,201,200,199,196,111,107,105,100,96,95,97,94,81,78,117,153,179,196,203,205,206,205,205,205,204,203,201,200,199,198,196,195,103,102,102,96,89,88,86,86,108,166,195,200,202,203,204,205,206,205,205,204,203,203,201,201,200,198,196,193,75,76,92,92,93,101,130,167,189,196,198,200,202,203,204,206,206,206,205,204,203,202,201,201,199,197,196,193,36,41,152,160,169,178,185,189,193,196,198,201,201,202,203,204,204,204,204,203,203,202,201,200,197,195,194,192,17,53,163,171,179,182,184,188,191,194,196,199,201,203,202,203,202,202,203,202,202,201,199,198,196,194,193,189,10,80,180,177,178,179,179,180,181,182,180,180,181,182,181,178,176,175,174,170,167,164,162,159,155,150,143,117
18,199,199,200,201,202,203,204,204,204,204,205,205,204,204,204,203,201,201,203,202,200,199,200,199,198,198,196,195,200,202,203,203,203,204,205,206,205,205,205,205,205,204,205,204,203,203,203,202,203,201,201,200,200,198,197,197,200,204,205,204,204,205,207,207,206,207,207,206,206,206,205,206,206,205,203,206,204,202,201,201,200,200,199,198,202,204,205,206,206,206,207,208,207,209,209,207,208,207,208,207,207,204,209,192,195,205,203,203,201,201,200,200,204,206,207,206,207,208,209,210,210,211,210,209,210,211,210,207,207,209,232,164,160,212,203,204,203,202,201,200,205,207,208,207,209,210,210,211,210,211,211,210,209,207,209,213,201,215,238,170,127,210,205,205,204,205,203,202,207,208,209,210,211,212,213,212,212,213,211,214,220,186,160,185,168,183,240,200,124,164,217,204,206,207,204,204,208,210,210,211,212,213,213,215,214,214,213,213,223,213,174,146,153,192,239,206,149,116,191,212,205,207,206,205,209,210,210,212,213,214,216,216,215,214,219,193,153,182,199,159,130,156,213,210,171,150,126,194,213,207,207,206,210,212,212,213,215,216,217,215,219,232,221,196,163,122,187,171,131,112,137,188,183,160,125,139,220,206,209,206,210,212,214,215,216,216,217,214,241,238,237,201,175,130,141,164,123,101,101,183,201,163,135,132,218,208,209,209,211,213,215,216,216,219,215,230,230,220,238,203,179,139,109,128,117,98,97,194,208,181,134,135,219,209,210,210,212,214,216,217,219,218,221,251,232,205,216,195,176,135,106,115,107,99,94,171,205,190,136,127,220,212,212,210,214,216,218,218,218,220,238,230,206,206,209,159,141,121,111,138,94,92,104,179,206,191,140,126,220,211,213,212,215,217,218,220,217,229,251,227,192,176,185,132,127,111,133,134,118,161,164,177,197,175,134,123,221,213,213,213,216,218,219,220,219,230,254,236,216,169,147,163,130,75,139,176,203,204,199,162,162,160,137,114,213,217,215,214,217,219,220,222,218,241,252,241,219,179,151,159,114,96,217,228,218,196,182,168,136,152,141,111,208,220,216,216,218,219,221,222,222,248,251,233,195,177,165,151,122,196,240,224,214,192,164,168,139,137,127,119,220,217,217,216,219,220,222,221,227,249,249,225,196,188,158,129,179,234,228,219,203,186,167,158,144,130,106,167,227,217,217,216,218,220,222,222,231,250,247,221,196,195,156,164,213,236,223,210,200,186,161,152,140,118,111,216,220,219,218,217,219,220,222,223,233,248,242,223,208,205,156,193,207,227,217,202,196,177,150,144,133,101,153,229,218,219,218,218,220,222,224,222,233,245,239,225,218,190,162,169,205,207,206,195,186,164,145,134,121,102,208,225,220,220,219,218,220,223,224,222,232,245,238,233,215,177,148,167,192,197,193,189,174,155,136,127,96,156,232,220,222,221,220,220,222,223,224,224,236,235,231,227,193,154,147,178,185,194,188,177,163,141,124,104,116,222,224,223,224,223,221,221,220,220,224,224,240,233,228,215,193,174,173,177,188,190,182,164,151,133,113,99,203,229,222,225,224,223,221,221,226,230,225,226,247,243,241,228,217,201,184,165,183,187,171,149,137,122,93,181,234,223,225,225,224,223,222,222,198,184,220,238,248,241,240,228,208,191,180,158,175,179,156,140,129,99,167,235,225,226,225,225,225,223,223,222,142,110,121,205,242,239,235,222,201,177,173,158,171,165,145,135,105,148,237,227,228,227,227,226,225,225,224,224
12,177,179,179,179,180,180,180,180,181,182,181,181,182,181,181,181,181,181,181,181,181,181,180,180,178,177,177,176,181,181,182,182,181,181,183,182,183,184,183,184,184,184,184,182,182,182,184,183,183,183,182,182,181,180,179,177,182,183,183,184,184,184,187,184,186,185,186,188,187,185,187,185,184,185,186,186,185,185,184,184,183,180,180,180,184,185,186,187,185,188,187,186,188,188,191,189,187,190,190,188,186,187,186,187,187,186,185,185,183,182,183,182,187,187,188,189,188,188,190,190,188,187,181,188,196,179,182,193,188,190,188,189,188,189,189,188,186,186,186,184,189,190,190,191,190,191,192,189,204,208,169,135,202,187,138,163,198,192,195,190,191,191,191,190,189,188,188,187,192,192,192,192,193,193,195,189,232,235,201,121,155,227,161,120,194,172,172,195,193,192,194,192,191,190,190,189,191,191,193,196,195,194,195,195,231,240,215,150,114,219,190,138,114,158,115,153,204,194,195,193,194,193,192,191,194,195,197,198,196,198,196,201,229,219,226,179,109,174,201,151,85,112,120,87,197,198,195,195,196,194,193,193,195,197,199,198,198,196,203,190,210,195,212,203,153,105,160,128,66,55,97,79,186,202,199,198,198,197,196,195,196,198,200,201,194,211,233,157,130,153,170,170,116,71,94,98,72,153,107,80,197,201,200,200,198,198,198,198,197,200,201,198,220,244,209,144,109,133,109,142,134,106,144,178,178,164,89,93,208,202,203,202,200,199,198,199,199,201,199,210,238,212,202,162,120,79,82,86,135,150,169,215,229,194,112,118,220,202,205,204,202,203,201,200,199,202,198,230,213,187,212,181,130,78,82,85,72,82,124,213,231,232,182,120,170,213,204,205,203,203,203,202,200,199,209,229,205,165,209,184,157,96,75,94,99,107,167,205,208,196,178,158,104,193,209,205,205,204,204,204,202,199,219,239,208,162,146,209,196,120,76,98,120,183,219,204,203,163,149,169,101,170,217,205,207,206,205,205,205,202,213,244,226,195,139,155,183,189,111,99,207,223,206,201,189,158,127,123,93,196,211,207,207,206,206,205,204,202,212,246,237,205,169,155,141,150,138,198,243,220,204,193,171,147,114,81,120,219,209,210,208,207,207,206,205,203,211,238,239,222,187,179,162,124,185,239,230,226,188,172,149,139,102,70,171,219,210,211,209,208,208,207,205,206,207,230,236,234,211,191,174,160,169,230,225,212,175,145,140,133,87,96,213,212,211,211,210,210,209,208,204,206,198,218,243,238,218,198,178,174,167,223,214,187,160,125,146,123,68,147,224,211,211,211,211,211,211,211,202,205,200,194,239,227,206,195,183,179,175,200,197,160,139,135,142,103,74,198,217,213,211,211,211,211,211,211,204,206,206,192,231,212,194,188,186,179,174,182,178,160,135,135,126,75,120,222,211,212,212,212,211,211,209,209,206,206,207,201,227,214,201,202,196,181,169,178,187,163,121,112,96,82,197,217,212,212,212,212,211,211,210,208,206,205,206,200,228,221,210,210,196,189,165,182,190,137,102,99,73,162,222,212,214,213,213,213,212,212,212,210,206,207,208,199,229,227,216,218,198,200,161,175,173,124,100,76,117,224,214,215,214,213,214,214,213,212,212,211,204,206,209,197,220,237,222,224,204,199,158,159,162,126,93,71,191,221,213,214,214,214,215,214,213,212,212,212,202,203,208,198,216,239,218,212,201,192,152,144,160,122,74,100,221,214,215,215,215,215,214,213,213,212,214,213
21,137,139,146,152,158,163,166,169,174,177,181,183,185,189,191,191,191,194,194,194,196,196,196,195,196,197,197,197,139,142,149,155,161,165,169,172,176,180,183,185,188,192,193,193,199,197,198,198,198,198,197,198,200,200,199,199,140,143,151,158,163,168,171,175,179,183,184,188,191,194,200,176,157,202,199,200,200,203,206,202,203,204,203,203,142,146,154,159,165,170,174,177,181,184,187,191,194,196,205,186,104,193,205,202,205,190,179,209,206,205,205,205,145,148,156,163,168,172,177,180,183,186,190,193,198,197,207,197,112,171,213,204,208,195,120,185,215,208,208,207,147,150,158,166,170,175,178,182,186,189,193,196,200,200,209,200,120,147,217,204,210,205,128,153,221,209,210,209,148,153,160,168,172,176,180,185,188,192,195,199,202,204,208,203,139,133,215,209,212,202,135,134,221,210,211,211,149,155,162,169,174,178,183,186,189,194,198,202,204,205,207,216,171,126,204,214,213,205,143,126,219,214,214,214,152,156,165,171,177,181,184,188,192,195,198,203,206,208,207,221,183,126,185,220,213,212,165,122,217,217,217,216,152,158,166,173,178,182,185,190,193,197,201,204,206,210,211,227,190,133,162,225,214,213,175,118,209,221,219,220,153,160,168,175,179,183,187,192,195,199,202,206,207,208,202,234,213,160,150,224,218,212,181,119,202,224,220,221,154,161,170,175,180,184,188,192,197,200,204,207,209,204,186,192,232,189,148,218,220,223,201,127,199,226,220,221,155,161,170,176,182,186,191,194,198,203,206,207,221,240,226,185,178,174,141,211,224,222,205,127,197,229,221,222,156,164,172,177,184,188,192,196,199,203,206,210,215,209,221,214,171,124,109,187,222,208,198,126,194,231,222,223,157,163,172,178,185,190,192,196,201,205,208,212,211,190,168,158,183,148,138,135,155,180,182,123,189,236,223,226,159,166,175,180,186,191,195,198,202,206,210,212,219,228,203,145,142,189,192,180,137,118,159,117,180,237,224,226,160,168,176,181,186,191,196,200,203,207,211,216,205,194,213,169,95,139,203,198,155,95,117,104,179,238,227,228,161,169,177,182,187,191,195,199,203,208,211,216,206,126,163,182,112,70,133,186,168,131,93,85,171,239,226,229,161,170,178,184,188,192,196,200,204,209,213,217,203,171,148,168,150,114,50,145,196,162,112,75,145,243,228,231,160,169,177,183,188,192,197,201,204,209,213,216,221,204,141,115,150,132,70,100,199,189,145,94,116,240,230,231,159,168,176,182,186,190,196,200,204,209,212,214,228,197,164,136,104,95,106,141,196,211,165,128,104,224,234,232,162,169,177,183,187,191,196,201,205,209,214,214,231,223,196,136,111,120,147,217,217,196,164,134,102,216,235,232,162,170,177,183,189,192,198,202,205,210,215,215,230,225,179,129,135,146,174,242,219,186,144,118,98,218,235,231,162,170,178,183,189,194,199,202,205,210,213,214,226,223,174,159,152,138,192,244,208,175,137,106,100,222,235,233,162,170,178,183,188,193,197,201,205,209,212,214,221,217,193,166,144,139,200,240,204,168,131,106,103,225,235,234,164,174,181,187,193,198,202,206,211,215,218,219,221,213,197,153,152,151,194,230,200,167,125,101,108,227,233,233,135,139,146,153,156,162,168,175,182,189,193,196,203,210,198,157,178,155,180,216,180,150,118,96,119,240,236,238,106,108,106,107,107,109,111,114,116,117,118,119,126,196,200,171,181,162,167,206,161,130,109,98,110,168,172,177
1,107,31,76,92,99,109,130,149,161,167,173,176,178,183,187,191,198,195,198,201,203,205,204,207,208,206,208,209,97,31,83,93,100,111,133,150,163,170,174,177,181,184,195,189,156,200,204,202,203,206,205,208,209,209,210,210,83,35,88,93,103,115,139,155,163,171,177,180,182,183,213,192,107,179,181,205,205,208,208,210,210,210,210,209,69,42,91,94,104,115,142,157,165,172,179,180,191,181,201,187,121,178,129,195,211,209,211,211,212,211,211,211,56,49,92,96,107,119,144,158,168,175,181,177,213,167,175,180,128,194,128,183,217,210,212,213,214,213,212,214,43,57,93,97,107,122,147,160,168,175,181,182,220,154,185,182,134,196,128,170,220,211,214,215,215,215,214,215,33,65,94,98,109,125,149,161,168,175,184,188,223,138,180,178,130,201,139,166,221,212,215,217,218,218,217,217,32,75,96,101,111,129,152,162,171,176,204,168,206,131,184,179,129,190,135,163,225,215,219,219,219,220,219,220,33,81,95,102,113,132,153,164,169,191,196,144,194,135,212,179,127,201,145,156,228,217,221,221,221,221,221,221,38,85,96,103,112,135,155,165,168,214,174,139,185,142,221,165,135,229,153,157,228,219,222,223,222,223,224,223,44,89,96,105,115,139,157,167,175,227,150,159,193,141,195,136,135,220,140,162,229,221,225,225,225,225,226,226,50,92,97,106,118,140,159,166,186,227,131,157,170,124,182,120,154,213,130,166,230,222,226,226,227,228,227,227,57,94,97,108,119,141,159,162,202,225,126,141,178,171,168,194,201,201,129,170,232,224,227,228,227,229,229,229,64,96,100,109,121,144,161,162,219,205,139,147,207,192,166,196,186,185,123,168,236,225,230,231,230,229,229,230,71,98,100,109,123,147,160,167,232,217,196,188,220,211,196,178,165,157,117,167,237,226,229,231,232,232,232,231,76,97,100,110,124,150,157,183,246,198,188,192,180,181,220,216,192,162,113,164,237,227,231,232,234,234,234,233,83,97,103,111,125,152,152,210,236,173,150,146,117,144,216,213,206,185,123,157,240,227,231,233,234,235,235,234,88,97,105,113,128,155,154,224,226,174,169,177,165,216,228,215,188,167,120,124,237,232,234,235,235,236,237,236,92,98,105,113,131,157,156,223,233,191,174,181,220,255,234,207,173,135,116,98,216,239,235,237,237,237,237,237,94,97,105,113,132,156,157,216,246,209,187,180,221,255,236,195,165,122,104,95,211,241,235,238,238,238,238,238,96,98,108,114,133,154,159,204,248,209,191,181,211,252,226,189,153,124,96,116,235,237,237,239,239,239,240,240,96,99,109,117,137,157,164,192,240,206,198,186,194,235,217,184,144,122,90,171,247,237,240,240,242,242,242,242,97,99,109,117,138,156,167,181,228,213,209,197,214,227,196,163,133,113,102,218,241,241,241,241,243,243,244,242,96,100,108,117,139,156,167,177,211,213,205,190,201,210,175,146,128,102,126,241,239,242,242,243,244,244,245,244,97,100,108,115,139,156,169,178,195,210,199,189,174,177,163,140,130,95,148,246,239,242,244,246,246,245,245,245,96,100,107,115,138,153,166,177,184,208,201,185,176,174,174,154,129,92,178,245,235,240,243,244,244,244,244,244,96,98,105,114,139,152,165,173,207,214,204,202,189,176,166,152,120,89,194,245,236,240,242,243,244,245,245,245,96,97,104,114,139,152,166,176,234,228,178,203,191,172,145,132,118,82,175,246,234,241,243,245,245,245,245,245
16,232,233,235,236,235,235,236,237,238,237,236,238,239,238,238,236,238,238,240,241,239,238,240,240,240,240,240,236,233,234,235,236,237,237,238,240,238,238,237,240,241,238,242,244,245,243,239,241,240,240,241,242,240,240,240,238,235,235,236,238,239,237,237,239,239,241,242,242,239,239,216,211,206,225,252,245,241,241,241,240,240,241,240,239,234,236,236,238,239,239,238,239,239,237,229,222,241,255,207,181,172,144,174,235,250,243,241,241,242,242,241,240,234,236,237,239,239,241,241,241,242,236,210,215,255,255,227,207,189,153,108,118,185,244,247,239,242,242,241,241,235,237,238,240,242,239,234,220,255,255,220,235,255,248,232,220,191,136,131,109,99,136,229,250,240,243,243,242,238,239,238,240,238,253,234,226,253,249,228,239,255,231,219,209,182,118,131,118,112,101,121,227,252,243,244,243,239,239,240,241,237,255,251,228,245,243,240,232,249,215,210,197,165,116,118,110,111,115,99,113,238,248,245,245,237,237,240,239,238,247,246,225,241,251,248,236,245,220,208,188,146,112,106,102,107,112,113,89,149,255,246,246,236,238,239,241,249,237,244,244,235,249,250,240,255,236,212,176,132,106,94,98,108,111,107,105,97,232,252,246,237,238,236,250,249,234,246,255,242,242,248,242,255,240,209,162,123,98,78,99,111,114,116,106,91,211,254,242,237,239,238,242,246,244,239,253,240,243,254,250,251,237,196,145,114,71,71,99,113,120,128,110,99,233,248,244,239,239,240,239,244,255,248,255,255,210,255,255,247,240,194,130,85,34,69,92,104,127,123,110,109,241,246,246,242,241,241,239,245,255,255,226,234,224,243,255,250,242,184,118,56,25,59,78,97,140,116,103,121,246,247,247,240,239,241,240,241,240,255,215,186,242,240,249,255,239,176,109,57,28,40,65,111,151,115,98,146,254,247,248,238,239,240,240,241,231,232,255,241,219,236,252,255,233,173,102,71,56,40,70,145,155,118,97,152,255,246,249,243,244,246,246,247,245,219,235,249,230,236,255,255,228,166,100,86,92,75,96,179,179,135,92,147,255,248,248,188,194,198,202,206,213,206,206,238,213,208,238,255,225,155,99,96,101,83,116,200,208,172,96,151,255,244,249,120,123,122,122,124,127,127,130,169,142,126,214,255,224,144,98,105,109,96,132,200,219,201,130,122,214,255,255,130,130,128,126,126,127,125,124,123,130,108,203,255,228,133,134,121,112,105,139,193,217,221,180,145,250,255,255,127,130,129,128,128,130,130,131,131,135,115,185,255,231,127,198,155,131,118,119,177,206,220,201,153,240,255,255,127,127,127,130,129,129,129,129,131,134,120,155,255,228,134,227,184,151,141,114,129,192,200,183,113,201,255,246,127,127,126,129,129,130,129,130,132,135,125,140,255,221,146,253,212,176,160,138,104,129,172,141,147,221,212,243,126,127,125,127,129,129,128,129,131,132,128,135,255,176,183,255,229,196,179,154,121,100,115,95,210,255,179,215,125,127,126,128,128,127,128,131,131,131,130,132,169,172,255,255,238,209,190,166,131,107,110,85,216,255,236,193,125,128,127,129,127,125,128,131,130,130,129,131,110,208,255,255,246,216,197,176,141,107,111,89,211,255,255,242,126,127,128,129,128,124,126,128,129,128,129,131,119,193,255,255,250,224,200,181,150,113,109,88,189,255,255,228,125,125,127,132,128,125,126,128,128,128,129,132,120,190,255,255,248,223,201,184,156,120,111,92,176,255,255,206
15,84,88,93,96,100,106,119,132,143,149,154,158,163,169,173,175,180,183,185,187,189,192,193,193,193,194,195,194,86,89,92,98,101,106,120,133,143,151,155,157,163,169,173,177,182,184,187,190,192,192,195,195,195,197,199,198,86,88,91,98,104,110,124,135,145,153,158,159,165,173,176,181,184,188,189,191,193,195,197,198,199,198,199,199,87,89,92,99,97,104,121,135,145,154,158,161,167,174,178,183,187,189,190,194,196,198,199,200,202,200,201,202,87,89,94,96,135,144,143,143,152,161,159,163,169,176,182,185,186,189,193,197,198,200,201,203,205,205,205,205,87,93,83,144,229,166,157,150,169,181,161,155,158,169,171,183,194,195,197,197,199,203,204,206,207,207,206,206,88,94,83,144,192,120,119,118,161,159,136,137,181,183,154,140,153,179,191,203,207,203,206,208,209,208,209,209,89,91,93,97,115,105,108,103,141,133,112,125,187,186,162,120,139,150,160,156,183,214,206,210,211,210,211,210,89,91,95,100,101,113,126,135,142,137,127,130,174,179,134,125,189,168,167,153,113,174,220,209,214,212,213,212,89,92,95,100,104,115,131,146,157,166,166,166,157,130,106,214,182,182,143,183,157,97,188,221,213,215,216,215,91,91,95,100,102,115,131,145,157,162,173,210,144,107,116,186,176,139,139,184,162,141,90,206,218,215,216,216,89,91,94,99,103,116,132,146,158,161,195,222,177,106,79,82,127,106,166,146,152,163,93,114,228,216,218,218,90,93,95,99,103,117,134,146,159,163,183,225,209,156,131,107,92,110,186,141,152,122,116,67,165,235,217,220,89,92,95,99,104,117,135,147,159,165,197,194,203,185,202,176,111,109,108,117,117,85,74,78,73,206,227,221,90,92,95,99,104,118,133,149,155,185,217,176,174,158,197,168,91,92,96,89,102,82,60,71,57,89,223,225,91,93,96,100,104,119,135,149,158,182,178,134,140,147,175,127,86,94,91,95,105,94,70,68,68,45,133,238,91,92,94,100,104,120,136,148,161,173,189,145,141,109,94,83,74,81,82,84,90,85,85,80,68,64,63,210,91,93,94,99,104,121,137,150,158,181,207,206,174,121,96,122,107,54,86,100,96,92,99,97,76,68,54,133,90,93,96,99,104,121,137,150,162,171,183,205,184,145,136,128,134,61,90,124,115,116,123,112,79,61,68,63,91,92,95,99,104,121,137,151,164,170,177,177,158,128,87,82,125,152,84,123,139,135,125,103,68,65,71,67,91,90,94,98,104,121,138,153,163,171,172,175,153,123,86,65,104,141,94,94,148,144,113,85,66,71,75,73,91,90,94,96,104,121,138,153,164,170,172,181,191,198,199,175,134,164,166,129,125,120,91,79,74,79,79,73,87,89,92,94,102,120,137,151,163,170,172,178,185,190,202,200,102,126,145,158,111,114,99,69,51,50,51,54,85,87,92,92,100,120,137,151,164,169,171,178,187,192,207,169,75,70,45,50,61,64,49,31,21,18,14,7,86,86,90,91,98,118,135,151,164,169,172,180,187,192,211,141,76,80,77,20,25,40,32,24,23,19,11,2,84,85,88,91,98,117,136,151,163,171,174,180,188,195,205,115,74,70,72,62,0,27,33,26,23,19,12,2,81,82,86,89,97,116,135,150,162,170,173,179,186,199,186,82,73,70,63,72,1,0,25,21,11,9,9,0,78,79,84,86,96,115,131,147,160,168,170,178,185,203,149,72,77,66,61,75,6,0,11,14,6,12,15,0
8,182,182,183,185,186,186,186,185,184,184,183,183,183,182,181,179,179,178,177,176,175,174,174,172,170,168,167,166,184,184,185,186,187,186,186,186,186,185,185,183,183,182,181,180,180,179,179,177,176,176,175,173,171,169,168,167,186,186,187,188,188,188,187,187,187,187,186,179,172,180,183,182,182,182,180,179,177,177,176,174,173,171,170,169,187,187,188,189,190,190,189,188,188,188,187,169,143,170,185,184,184,183,181,180,179,178,177,176,175,173,171,170,188,188,190,191,191,191,190,190,190,189,189,157,124,164,186,186,185,184,182,182,181,180,179,178,177,175,173,171,189,190,191,192,193,192,192,192,192,193,190,144,120,170,187,187,186,185,184,183,182,182,181,180,178,176,174,173,191,192,193,194,195,195,194,194,193,197,190,139,127,178,189,189,188,186,185,184,183,183,181,180,179,177,176,175,192,193,194,194,195,196,195,195,194,201,186,134,136,184,190,188,187,187,186,185,184,183,182,181,180,178,177,175,193,194,195,195,196,196,196,196,196,203,179,130,144,188,191,175,170,184,187,186,185,184,183,182,181,179,178,176,194,195,196,196,197,197,197,197,198,205,181,146,157,189,195,174,149,159,174,182,185,185,184,184,182,180,179,177,196,196,197,197,198,198,199,199,200,207,186,165,169,190,193,189,164,145,143,148,171,180,181,184,183,181,180,179,197,197,198,198,199,200,200,200,202,205,189,176,182,195,183,190,184,170,150,116,117,134,141,168,183,182,181,180,198,199,199,199,200,201,201,200,205,200,182,181,190,191,168,159,173,176,156,113,77,77,84,122,176,184,182,181,198,200,201,201,202,202,202,203,203,187,172,174,183,178,148,116,134,178,163,121,74,62,67,93,166,185,184,182,199,201,202,202,203,203,204,210,202,175,156,156,171,164,126,91,101,178,173,128,79,67,71,98,169,186,185,183,201,202,202,203,204,204,207,219,208,178,147,134,159,155,121,101,117,180,177,131,81,61,74,130,182,187,185,184,202,203,204,204,205,205,214,223,206,179,151,133,153,173,166,167,173,176,164,130,86,63,105,170,188,188,186,185,203,204,205,205,206,208,220,220,200,180,155,138,145,188,199,187,183,164,143,125,91,94,160,190,191,189,188,187,204,205,206,207,207,212,224,216,198,179,149,143,171,201,197,176,174,157,125,114,90,132,188,194,193,191,189,187,204,206,207,207,208,215,226,215,198,177,154,169,200,204,188,167,160,147,110,94,88,158,195,195,194,192,190,188,206,206,208,208,207,217,226,215,197,177,165,188,203,195,178,156,146,131,97,77,104,180,197,195,194,192,191,190,207,207,209,202,184,200,219,211,191,172,167,184,190,180,164,145,134,111,80,72,136,193,198,196,195,193,192,190,207,207,206,173,116,132,179,191,177,164,164,172,179,168,150,132,114,88,66,89,170,198,199,197,195,194,192,191,208,208,190,124,81,79,108,149,166,164,161,165,173,157,134,111,88,68,68,133,192,200,199,197,196,194,193,192,208,202,151,88,71,68,71,87,119,141,144,153,159,134,107,88,71,66,108,180,200,201,200,197,196,195,194,193,206,174,105,73,67,64,64,56,54,74,89,112,123,102,78,67,66,101,169,200,202,201,200,198,197,195,194,193,183,124,77,68,64,60,61,56,33,39,46,53,61,60,53,61,110,170,199,203,202,201,200,198,196,195,194,193,139,85,69,66,62,58,59,56,29,30,38,34,32,32,34,83,171,200,203,202,201,201,199,197,196,194,192,191
15,87,91,93,94,98,100,105,116,126,134,140,145,151,153,155,158,161,164,167,171,173,174,177,179,181,182,183,184,87,89,92,94,95,98,105,116,126,134,141,146,151,153,156,158,162,165,168,171,174,176,179,181,183,182,183,184,88,87,117,143,115,102,105,116,127,135,141,148,153,154,155,158,162,166,168,172,174,176,179,182,183,182,183,185,89,83,146,180,163,142,128,122,127,131,141,148,152,155,155,158,162,167,170,173,176,178,179,181,182,182,185,186,88,86,115,160,155,151,155,149,145,135,134,135,141,146,152,158,163,168,170,173,176,178,179,181,183,184,186,188,88,90,91,112,121,120,136,145,149,154,148,140,138,137,140,142,143,149,156,165,176,178,180,182,185,186,187,189,88,89,92,95,99,103,115,121,123,144,148,145,140,141,150,153,142,126,118,113,156,180,182,185,186,187,188,190,88,90,93,95,96,100,109,115,113,126,134,133,128,127,149,163,162,140,127,102,101,163,184,185,187,188,190,192,88,89,91,94,96,99,110,120,126,133,134,133,128,127,156,161,163,150,146,125,103,114,171,185,187,190,191,193,87,89,90,93,96,99,110,119,127,137,144,147,144,158,172,161,158,166,155,146,127,101,116,176,188,191,192,193,87,88,90,93,96,100,110,123,134,138,142,149,159,180,173,141,153,169,154,164,146,114,89,122,183,189,192,193,87,88,89,93,96,99,116,155,147,149,145,138,159,161,135,117,141,161,151,175,156,121,97,84,142,189,193,194,87,88,90,93,95,97,123,163,162,172,174,149,126,129,105,84,128,144,149,174,157,125,103,86,91,156,192,196,87,88,91,93,95,98,112,135,147,175,181,152,131,138,129,113,128,135,149,155,148,126,106,89,82,95,164,195,86,87,89,91,93,98,108,122,139,156,153,137,143,148,142,143,146,139,120,113,124,116,102,88,82,77,105,175,86,86,87,88,91,97,108,120,129,136,135,124,138,147,148,153,158,143,111,90,99,100,96,93,86,82,78,113,84,86,86,88,90,95,108,119,127,137,181,134,107,112,139,151,154,139,106,89,93,93,93,95,91,86,83,76,82,83,85,88,89,94,106,118,127,136,193,153,97,55,84,127,144,131,105,93,94,93,95,98,94,90,86,79,82,83,84,87,87,94,107,117,127,135,182,148,88,66,60,80,122,109,94,93,97,98,97,98,95,92,89,82,81,82,84,85,86,94,106,117,128,135,180,145,84,103,73,79,106,117,103,99,103,104,101,97,94,92,89,87,80,81,82,84,86,92,104,115,125,132,174,141,82,138,92,116,101,126,122,114,108,102,99,95,91,90,88,89,79,80,80,83,84,90,102,114,125,129,183,138,77,150,131,103,141,125,109,101,97,94,93,93,92,92,91,89,81,81,80,82,82,90,102,113,123,129,175,123,80,147,157,86,152,143,101,114,86,78,81,80,81,85,88,91,121,118,116,118,119,121,124,127,130,132,141,96,105,148,137,100,149,156,148,154,109,72,68,68,70,74,81,87,102,102,102,105,107,107,105,103,100,100,101,90,102,110,107,102,112,113,113,113,107,84,75,81,87,92,95,97,100,101,101,101,101,100,101,99,95,97,99,101,102,101,102,103,101,101,101,101,102,100,99,107,104,109,108,113,103,102,102,104,102,102,103,103,102,102,105,104,103,105,107,105,104,104,105,105,107,107,105,130,121,121,116,123,105,103,102,103,103,104,105,106,106,106,106,104,103,105,106,106,105,105,105,104,105,107,103,134,147,136,131,132
23,97,101,105,117,129,141,150,154,158,164,172,177,181,185,187,189,194,196,199,199,198,198,199,200,201,200,199,198,97,101,106,119,131,143,153,157,160,167,174,179,184,186,187,191,197,198,199,201,201,201,201,202,203,201,200,200,98,102,107,120,133,145,154,159,161,168,175,181,185,188,191,194,197,199,202,203,204,204,204,204,204,204,202,202,98,101,107,121,134,146,156,160,162,170,177,183,187,191,195,196,199,202,204,205,205,204,205,205,205,205,205,203,100,103,107,121,136,148,157,162,166,173,179,186,188,191,195,198,201,204,204,205,206,205,206,205,205,206,206,203,100,103,110,123,137,149,157,162,167,174,181,186,189,194,197,199,203,204,205,206,210,209,208,207,206,207,206,205,99,102,110,124,138,151,160,162,167,176,183,188,191,196,200,202,204,205,209,209,206,208,205,209,212,207,205,206,100,103,111,126,139,152,161,165,168,177,185,190,194,197,202,204,205,209,209,205,239,250,220,210,205,208,209,206,99,103,112,127,139,152,162,165,170,179,186,192,196,199,203,206,209,208,214,255,255,231,226,198,127,201,214,210,100,103,112,128,141,155,163,167,172,181,189,193,197,203,205,209,208,220,255,253,206,127,163,173,177,215,212,212,101,104,113,129,144,156,165,168,173,182,190,196,199,203,205,211,205,255,255,159,101,181,218,218,223,216,214,214,100,103,113,130,145,158,166,169,175,183,191,197,202,205,210,211,213,255,255,206,222,209,202,222,218,218,216,216,100,103,113,131,145,158,167,170,177,186,192,199,206,204,208,210,242,255,255,255,255,168,156,236,218,220,219,217,99,104,115,131,146,161,169,171,179,187,193,203,201,220,247,255,255,224,253,239,224,146,118,203,219,223,222,220,100,105,117,133,148,163,171,175,181,188,197,198,224,255,255,255,255,236,255,255,234,143,101,165,196,231,222,223,101,105,117,134,149,163,173,177,183,192,196,213,255,243,232,240,239,215,242,255,214,129,90,122,141,238,226,225,102,104,116,134,151,164,175,177,183,194,192,255,255,255,251,253,236,220,220,176,154,129,84,125,103,167,235,226,102,104,118,134,150,165,175,178,184,194,200,255,255,255,220,222,241,236,222,155,125,139,72,121,125,114,208,234,101,103,117,136,151,166,176,178,184,193,204,255,255,247,187,150,165,189,194,137,134,135,63,116,128,136,223,232,101,104,118,137,152,168,175,177,185,193,208,255,255,209,142,115,77,203,193,124,145,107,88,131,125,179,241,231,100,103,121,137,152,168,176,180,189,193,211,255,255,202,146,96,106,203,164,128,114,69,110,140,143,232,237,237,100,103,120,137,153,170,177,180,190,192,222,255,255,199,152,109,97,111,112,88,78,90,111,127,185,248,237,238,97,100,119,138,152,167,175,177,189,189,233,255,255,196,151,105,64,73,80,95,119,120,118,126,222,242,238,238,96,99,117,136,153,168,177,179,191,190,247,255,250,198,152,117,89,105,122,130,138,129,115,175,246,240,240,239,94,99,116,135,152,169,178,180,191,192,245,255,240,193,155,125,103,110,136,142,142,122,140,244,243,242,242,241,92,97,114,134,153,168,178,180,191,192,247,255,227,195,163,133,118,113,139,145,145,114,191,255,241,243,243,241,87,92,110,131,151,167,175,179,189,192,255,255,231,215,180,147,128,115,136,143,131,147,243,246,244,243,242,242,90,95,111,130,147,163,172,176,188,195,255,255,249,232,197,154,133,121,133,135,135,222,250,241,242,241,242,241
19,94,100,106,111,115,115,118,120,123,125,128,131,132,134,136,137,139,139,141,142,144,144,145,144,145,146,146,146,95,102,107,112,114,116,119,121,125,128,131,133,135,137,137,139,141,142,143,143,146,147,145,147,145,148,147,147,96,103,109,113,115,118,120,123,126,130,131,133,138,139,137,141,142,143,144,145,146,145,153,141,146,148,148,148,98,105,110,114,118,119,121,125,128,128,142,138,117,132,144,141,143,145,145,147,143,160,172,93,134,151,148,148,100,106,112,116,118,119,123,126,131,128,171,145,106,88,138,143,143,145,153,155,164,165,114,84,145,151,150,150,100,107,113,118,120,120,123,129,132,127,162,159,119,107,144,156,147,151,162,161,145,104,82,135,154,152,151,151,101,107,114,120,120,120,130,122,126,133,147,158,151,157,151,148,141,129,140,123,88,99,141,156,151,152,153,152,103,109,115,120,116,152,160,128,121,126,138,143,137,126,120,126,115,97,95,99,129,157,155,153,154,154,154,154,103,110,117,118,125,172,138,130,133,139,146,145,136,125,121,107,106,83,141,155,159,153,155,155,154,155,156,155,103,110,119,114,138,154,119,120,128,142,145,142,141,136,115,83,74,100,165,155,155,156,156,155,156,156,157,157,104,110,119,115,157,157,132,132,137,133,124,121,121,103,93,77,62,122,162,155,157,157,156,156,158,158,157,157,106,112,117,123,188,165,148,144,146,139,137,132,116,73,73,76,67,141,161,157,158,158,158,158,159,159,158,158,107,114,117,129,180,160,142,129,122,131,133,126,103,74,71,77,76,151,158,159,160,160,160,160,159,159,160,160,108,115,118,126,163,154,131,112,93,89,101,101,100,76,75,73,100,162,157,159,161,161,161,162,161,161,161,161,108,116,120,125,157,156,131,88,79,54,54,97,108,80,79,75,98,165,158,161,161,161,162,163,163,163,161,161,110,118,123,122,156,158,131,98,69,45,87,107,101,74,73,72,79,157,162,161,162,163,164,164,164,164,163,164,110,117,125,119,157,157,131,106,87,62,61,64,59,59,67,75,77,152,164,162,163,164,164,164,164,164,164,164,110,118,124,118,162,159,133,111,89,79,70,56,57,65,71,75,80,154,164,162,163,165,164,164,164,164,164,164,112,119,125,116,161,158,132,109,91,84,84,70,63,67,73,72,88,161,162,164,166,167,166,165,166,167,166,165,113,118,125,115,152,151,128,107,89,83,81,71,65,70,77,73,110,169,161,165,166,167,166,166,167,167,166,166,114,119,126,119,151,146,125,102,88,83,81,72,69,74,79,73,142,168,164,166,166,167,168,168,168,168,168,168,115,121,125,127,155,142,121,99,86,82,82,77,76,79,71,100,165,163,165,167,167,168,168,168,168,168,168,168,114,123,122,132,159,140,117,96,85,83,85,81,77,74,109,159,164,164,166,167,167,168,168,168,168,168,168,169,116,124,122,137,152,137,118,102,89,85,84,82,71,103,165,161,163,165,167,168,168,169,169,169,169,169,170,169,116,123,123,144,147,129,115,102,87,79,77,77,72,140,163,161,166,166,167,169,169,169,170,169,171,171,170,170,116,123,127,159,142,127,106,93,82,73,72,71,81,151,162,164,166,167,168,170,170,170,171,171,171,171,172,172,117,120,133,163,145,131,113,101,101,78,71,67,92,160,161,164,165,167,168,169,169,170,171,171,171,171,172,172,117,124,130,151,147,133,118,112,107,78,72,65,94,162,160,162,164,166,167,168,169,169,170,170,171,171,171,172
15,85,89,91,92,96,96,100,111,119,126,132,135,141,142,145,147,149,152,155,158,160,161,163,165,167,167,168,169,85,88,86,86,91,94,101,111,119,126,132,137,141,143,145,146,151,153,155,158,160,162,165,167,169,168,169,169,88,82,111,141,104,93,98,110,120,128,132,138,142,143,144,146,150,153,155,159,161,162,165,167,169,167,169,170,89,74,145,177,155,135,120,112,118,122,133,140,143,145,144,147,150,154,157,159,163,164,165,166,168,168,171,171,87,81,107,155,146,143,150,141,137,125,124,125,132,136,142,148,154,158,159,160,162,165,165,167,169,169,171,173,86,89,84,105,115,110,128,138,142,147,139,130,128,127,130,131,132,139,147,157,165,164,166,167,170,171,172,174,86,87,90,91,94,97,109,113,112,137,140,138,133,134,141,144,131,116,109,100,151,170,167,170,171,172,172,174,86,88,91,93,93,96,104,109,104,117,126,124,120,117,139,153,154,131,121,94,86,159,171,169,172,173,174,176,86,87,89,92,93,95,105,115,120,125,125,125,119,114,146,149,153,138,138,120,94,100,167,171,172,174,176,177,85,87,88,90,93,95,105,114,119,129,137,139,132,148,162,150,146,156,145,137,123,91,104,172,172,175,177,178,85,86,88,90,93,97,104,113,127,129,132,140,148,172,165,127,145,159,141,156,138,111,78,112,178,172,177,177,85,86,87,90,94,94,108,150,136,137,133,124,153,152,127,109,133,154,134,167,146,114,95,72,135,181,175,178,85,86,88,91,93,91,118,159,150,162,165,140,113,120,98,68,124,137,134,167,147,118,99,84,78,151,181,179,85,86,89,91,92,93,106,126,134,165,174,143,121,131,125,104,120,126,141,147,140,119,102,87,80,81,159,183,84,85,87,88,91,95,103,115,130,146,144,126,136,140,131,136,137,131,111,105,120,111,99,84,83,71,95,173,84,85,85,86,89,93,104,114,121,128,121,112,133,141,138,143,150,137,106,84,95,97,92,91,83,82,72,107,83,85,85,86,88,92,103,113,119,125,177,124,98,108,137,142,145,132,100,86,91,90,90,93,89,84,83,72,81,81,83,87,87,91,102,113,120,123,187,147,93,46,78,125,137,126,100,90,92,90,91,95,91,87,85,78,81,81,82,85,85,91,103,111,120,123,173,140,83,65,57,73,121,101,89,89,94,95,94,95,92,90,87,80,80,81,83,84,84,91,102,112,122,123,172,139,74,103,73,70,103,114,97,95,99,101,98,94,91,90,87,85,79,80,81,83,84,89,100,109,119,121,165,136,70,141,81,119,89,123,119,112,105,98,96,92,88,87,86,87,78,79,80,82,83,88,98,108,120,115,179,134,61,151,125,93,141,114,104,93,95,92,91,91,90,91,90,87,77,77,75,78,77,84,96,106,117,116,172,118,65,141,159,66,149,138,87,109,79,76,81,79,79,84,87,90,120,115,114,117,116,119,120,123,126,126,137,86,100,149,129,90,146,151,144,156,106,68,68,67,68,71,78,85,98,97,98,100,104,102,100,98,94,94,96,85,99,103,100,98,105,105,106,105,105,82,72,80,86,90,92,94,96,97,96,97,96,95,96,95,90,93,95,99,98,95,97,98,96,96,96,96,97,97,97,104,99,106,103,108,100,98,99,101,98,99,100,100,99,99,102,100,99,102,104,101,100,100,102,102,103,104,99,127,114,114,108,117,101,99,98,99,99,100,102,101,102,102,102,99,99,100,101,101,101,101,100,100,101,104,95,127,143,126,125,126
21,197,200,202,205,207,209,210,211,212,212,212,212,211,211,209,208,206,205,205,205,202,200,200,198,196,195,192,192,198,201,204,207,208,211,212,214,215,215,215,215,215,213,213,210,213,209,207,207,206,203,201,200,200,198,195,193,200,203,206,208,210,212,215,216,217,217,216,217,217,216,215,211,188,208,211,209,208,206,203,203,202,200,199,196,201,205,208,208,211,215,218,218,219,219,219,218,218,217,218,227,129,176,220,210,211,208,204,205,203,202,202,200,202,206,210,210,214,216,220,220,220,220,220,220,220,217,225,216,125,184,220,210,211,213,209,208,207,205,203,203,203,208,211,212,215,218,220,221,221,221,221,222,223,216,236,207,129,202,220,213,212,193,204,212,209,208,204,203,205,208,211,215,217,218,221,223,224,224,226,224,224,219,243,201,135,213,219,217,199,137,161,220,207,209,207,205,208,211,215,217,219,220,224,225,226,226,226,226,225,226,246,189,142,222,220,212,188,128,176,219,209,210,209,208,208,211,216,218,221,224,225,226,227,227,229,227,223,231,240,176,140,225,220,206,177,129,210,215,212,212,210,208,208,213,217,220,223,225,226,227,228,229,228,230,229,240,233,157,146,231,213,204,158,157,225,214,214,212,211,209,211,215,218,220,224,226,228,227,230,231,230,192,190,255,229,140,175,230,196,192,131,192,225,217,216,215,213,211,212,215,219,221,224,226,229,230,233,230,239,194,132,176,177,120,196,220,201,160,137,225,221,220,219,216,215,214,212,217,220,223,226,227,229,233,232,237,239,234,196,150,113,113,209,208,197,129,184,232,222,220,219,218,216,214,214,219,222,225,227,230,231,232,238,251,237,255,241,171,114,115,153,166,154,134,224,225,225,224,221,220,218,215,215,219,223,226,229,231,233,235,250,198,222,222,222,165,119,112,118,129,113,180,235,224,225,224,223,220,218,216,217,220,225,228,231,233,231,246,240,175,189,150,210,191,133,110,109,114,127,226,230,226,225,225,225,224,219,217,217,222,226,229,232,235,233,253,234,190,144,100,189,214,148,115,107,103,171,242,229,229,228,228,226,225,222,220,219,223,228,230,234,234,239,255,202,164,150,115,198,228,169,131,112,102,206,240,230,230,230,229,227,224,223,221,220,226,228,231,234,234,249,254,207,195,159,184,255,219,188,153,117,104,211,241,233,233,230,229,228,227,225,222,221,225,227,232,237,233,255,255,225,179,172,255,251,199,183,154,123,119,218,241,236,235,231,231,230,229,226,224,221,225,228,233,236,235,255,255,217,178,218,255,229,189,163,153,127,131,232,239,236,235,234,234,232,229,226,225,223,227,230,233,236,236,255,253,206,198,231,255,227,201,153,137,125,152,244,237,236,236,235,234,231,229,227,226,224,227,232,234,238,238,255,234,237,198,237,255,217,192,157,131,120,183,249,238,239,237,235,234,232,231,229,227,220,225,228,232,237,239,249,255,255,197,253,243,201,171,147,135,124,212,247,239,238,237,236,236,233,230,229,226,219,224,228,232,236,238,244,255,241,191,230,223,182,151,136,127,138,233,243,238,236,235,235,233,232,229,228,225,221,225,228,233,238,238,247,242,218,193,209,212,179,156,139,118,162,247,240,241,238,236,237,234,232,230,228,226,221,225,230,234,237,241,245,237,215,216,215,210,205,157,135,112,185,250,240,242,238,237,237,236,234,231,229,226,220,225,229,233,236,240,242,242,246,243,223,201,201,155,126,111,205,250,241,241,238,238,236,235,233,232,229,228
7,229,229,229,229,229,229,229,228,228,227,226,225,223,223,221,220,220,218,216,213,212,211,208,207,205,202,200,198,231,230,231,231,230,231,230,231,230,229,229,228,227,225,225,223,222,221,219,216,215,214,213,210,208,205,202,200,231,232,231,232,234,233,233,233,232,232,231,230,229,228,227,224,224,223,221,218,217,215,215,212,209,209,205,203,233,234,234,233,236,235,235,236,234,233,233,233,231,230,228,225,227,225,225,226,223,221,219,213,212,211,207,206,236,236,237,237,237,237,238,238,237,235,233,232,232,235,234,234,230,224,216,206,205,201,212,219,215,213,210,208,237,238,237,237,237,237,237,237,237,238,240,240,234,220,209,192,188,185,161,154,207,199,174,219,217,216,213,210,239,239,239,239,239,241,243,245,241,231,217,199,183,172,146,159,160,148,146,146,174,158,169,231,220,217,214,211,239,240,240,242,242,233,218,200,192,180,169,161,163,155,136,138,131,118,125,107,97,134,168,168,206,221,216,214,240,241,243,234,201,173,162,163,167,172,170,163,151,126,130,123,121,125,126,121,121,110,99,124,142,220,218,215,242,246,232,202,189,158,145,157,146,139,135,134,137,146,161,152,116,130,139,115,111,95,88,113,115,214,222,217,244,223,202,203,190,155,134,123,120,132,148,166,174,169,156,138,98,103,103,79,80,82,91,115,175,226,220,218,211,195,201,199,187,177,166,169,170,178,181,166,160,147,136,104,80,88,118,148,178,200,219,231,232,224,223,220,193,196,200,194,191,187,169,158,147,149,145,126,120,117,112,126,164,208,238,245,243,238,232,229,227,225,223,221,197,203,197,197,198,176,134,99,110,109,92,78,67,112,230,249,250,247,238,236,234,233,231,231,229,225,222,221,204,202,200,194,171,152,101,78,86,69,61,60,61,53,119,248,239,241,241,239,238,235,232,232,230,227,222,220,201,203,194,167,158,143,110,100,76,63,63,61,63,47,107,242,243,239,239,238,236,232,231,230,228,225,226,230,204,201,181,165,155,151,158,155,98,65,69,71,54,115,241,242,242,239,238,237,235,231,229,226,226,232,212,166,205,194,167,152,147,151,163,142,81,64,60,43,93,247,247,243,244,240,239,238,235,232,234,238,225,189,103,64,194,163,136,137,134,134,136,98,68,56,54,54,82,252,242,244,240,238,237,236,242,238,210,164,110,71,65,59,163,145,142,146,138,123,111,94,85,65,68,47,138,252,241,244,252,249,248,246,184,120,87,67,61,63,66,55,151,153,152,147,123,94,96,116,104,68,55,141,255,253,253,239,190,174,173,133,81,74,61,62,63,63,65,51,153,143,125,102,88,92,110,121,85,60,98,180,182,168,153,104,64,65,56,63,59,68,66,42,53,62,65,50,133,109,100,100,101,101,96,76,69,109,122,103,89,85,85,59,44,66,49,62,53,50,58,35,42,56,63,45,120,115,117,111,97,84,77,83,124,144,118,96,85,77,67,68,36,52,48,45,48,48,47,31,37,52,59,36,106,103,99,91,81,84,110,133,132,111,91,75,68,60,57,54,43,32,49,37,43,43,40,30,37,50,56,33,79,87,95,100,113,127,132,130,117,73,62,66,62,50,54,49,46,24,38,34,36,43,35,29,40,47,54,28,126,132,136,142,134,128,128,118,80,63,47,54,59,45,46,41,43,23,26,36,32,44,32,30,41,45,50,26,132,135,131,135,129,127,119,93,52,51,48,42,56,37,40,32,38,29,21,34,34,43,28,34,40,48,49,22
21,127,134,140,142,145,150,155,158,161,163,165,167,168,169,169,170,170,169,168,168,169,168,168,167,165,164,164,163,128,136,142,143,147,151,156,159,162,166,167,168,169,171,173,171,171,171,170,170,170,169,169,167,165,164,165,164,131,139,143,145,149,154,158,161,165,167,169,170,170,171,172,175,173,173,173,173,171,172,170,169,168,166,165,165,131,139,144,146,149,155,159,163,166,168,171,172,171,188,156,145,179,174,175,175,173,173,172,171,169,168,167,166,132,140,145,146,150,156,161,164,166,169,172,173,172,201,165,112,172,178,176,176,175,175,174,172,174,171,169,167,134,142,147,147,153,158,162,165,169,171,173,175,172,195,183,119,154,184,176,177,177,176,179,166,137,170,171,170,135,143,147,148,154,159,164,167,171,173,175,177,176,188,206,149,141,186,178,178,179,177,184,162,103,158,176,171,137,145,149,150,155,161,166,169,171,174,177,179,179,185,217,168,127,182,181,181,179,181,182,156,109,164,177,173,138,146,150,152,157,163,168,170,172,176,177,181,181,183,212,174,122,169,186,182,180,190,186,142,113,180,176,175,139,147,151,153,159,164,168,172,175,178,179,182,183,182,213,185,129,154,191,183,182,195,182,130,129,186,177,176,140,147,151,154,160,165,170,173,176,178,180,183,185,180,211,201,142,147,192,182,189,189,160,111,155,186,178,177,140,149,152,155,161,166,170,174,177,179,182,184,185,183,202,201,139,143,193,186,200,190,149,102,175,184,179,178,142,151,154,156,162,168,172,176,178,181,183,185,187,187,200,199,125,126,193,188,199,184,131,125,190,181,181,181,143,152,155,158,164,169,173,177,179,183,184,186,188,159,157,204,132,144,175,184,180,157,103,156,192,182,183,182,143,152,157,159,164,170,175,178,181,183,185,193,200,151,124,165,144,141,169,179,176,126,103,186,186,185,184,183,143,152,158,160,166,172,177,179,182,184,186,180,197,156,147,128,145,140,130,163,166,105,147,196,185,186,185,184,145,154,158,160,167,173,178,181,183,187,202,155,152,165,166,159,169,145,83,114,139,91,161,195,188,188,188,185,146,155,158,162,168,174,178,182,182,200,213,184,126,155,164,156,156,133,110,85,91,87,170,195,188,189,189,187,147,156,159,162,168,174,179,183,184,200,213,193,131,127,155,108,126,144,131,107,81,81,180,195,190,191,189,188,148,156,160,164,169,175,181,184,184,210,205,181,145,114,161,143,95,152,149,122,101,71,155,202,190,191,190,189,148,157,161,165,171,176,182,185,186,210,197,184,147,90,155,211,115,140,177,131,114,83,119,206,191,192,191,190,149,159,160,164,172,177,182,187,186,210,224,197,137,124,119,158,111,164,168,136,117,89,114,205,192,194,192,190,150,158,161,165,172,178,183,188,187,207,223,208,157,171,103,128,184,169,157,121,114,81,126,207,193,195,193,192,150,159,162,166,173,178,183,188,188,201,226,196,171,151,122,173,196,149,150,143,107,76,141,208,194,195,194,194,151,160,162,166,174,180,184,189,191,198,223,193,191,154,161,206,179,160,152,150,117,70,166,206,196,196,195,195,150,159,161,166,173,179,184,189,191,194,214,195,191,162,171,204,176,162,140,132,101,80,193,200,197,196,196,195,150,158,160,165,173,179,184,187,190,195,207,197,186,169,143,175,157,136,119,108,73,114,209,197,197,195,196,194,152,158,161,167,174,179,184,187,197,171,169,205,183,161,132,134,137,127,108,94,72,170,206,198,197,196,196,194
21,91,99,106,108,112,118,123,127,131,133,135,137,139,141,140,141,141,140,139,139,140,139,139,137,135,135,134,133,93,101,108,110,114,119,125,129,132,136,137,139,140,142,144,142,143,142,142,141,141,140,141,138,136,135,135,134,95,104,110,112,116,123,127,130,135,138,140,141,142,142,143,147,145,145,145,144,142,143,141,140,138,136,135,135,95,105,110,113,116,123,128,133,137,139,142,144,142,163,124,112,152,145,147,146,145,144,144,143,140,139,138,136,97,106,112,113,118,125,130,134,137,140,144,145,144,177,135,73,143,151,148,148,147,147,146,144,146,142,140,138,99,109,114,114,121,127,132,135,140,143,145,147,144,171,157,81,123,157,149,149,150,148,151,137,103,142,143,141,100,109,114,115,122,129,134,137,142,145,147,150,148,162,183,116,107,160,150,151,151,149,158,132,63,128,148,142,102,111,116,118,124,131,137,140,143,146,149,152,151,159,196,139,90,156,154,154,152,154,155,124,70,134,149,144,104,113,117,120,126,133,138,141,144,148,150,153,154,157,190,145,85,140,160,156,153,164,159,108,74,153,148,147,105,114,119,121,128,134,139,143,147,150,152,155,157,155,191,159,93,122,165,156,155,170,155,94,94,160,149,149,106,114,119,122,130,135,141,145,148,151,153,156,158,153,190,178,109,114,167,155,163,164,129,72,123,160,151,150,107,116,120,123,130,136,142,145,149,152,155,157,159,156,178,178,105,109,168,160,176,164,117,61,147,157,152,151,108,118,122,125,132,139,143,148,151,154,156,159,162,161,176,175,89,90,168,162,175,157,96,88,164,154,154,154,110,120,123,127,134,140,145,149,152,156,157,160,162,128,126,181,96,110,146,158,152,126,63,124,166,155,157,156,110,120,126,128,135,142,147,150,154,157,158,168,176,119,87,135,110,107,140,152,148,90,63,160,160,158,157,157,110,121,127,129,136,143,149,152,155,158,160,153,173,125,114,92,112,106,94,132,136,66,114,172,159,160,159,158,112,122,127,130,138,145,150,154,157,161,179,124,120,135,136,128,140,112,40,75,105,49,131,171,162,162,162,159,113,123,128,131,139,145,151,155,156,177,192,158,90,124,135,125,125,98,71,42,48,44,141,171,162,164,163,161,114,125,129,132,139,146,152,156,157,177,191,168,96,91,124,69,90,110,95,67,37,36,152,170,164,165,164,162,115,125,129,134,140,147,154,158,158,188,182,154,112,75,130,110,53,120,117,85,60,26,123,179,165,166,164,163,115,126,131,135,142,149,155,159,160,188,173,158,115,48,123,189,77,106,150,96,75,39,82,183,166,167,166,164,117,128,130,134,143,150,155,161,160,188,204,173,102,87,82,127,72,135,139,101,79,46,76,182,167,169,167,165,118,127,130,135,143,150,156,163,161,184,203,186,125,143,63,92,158,139,126,84,76,37,90,184,168,170,168,166,118,128,132,136,145,151,157,162,163,178,207,172,142,119,85,145,171,117,118,110,67,31,107,186,169,171,169,169,119,129,132,137,146,153,157,164,165,174,203,168,166,122,131,183,152,130,120,118,79,24,136,184,171,171,170,170,118,128,130,136,145,151,157,163,166,169,193,171,166,132,142,181,149,132,106,96,61,36,169,177,172,172,172,171,118,127,129,135,145,151,157,161,165,170,185,172,160,140,109,147,126,102,81,68,28,76,186,172,173,171,171,170,120,127,131,137,145,152,158,161,172,143,140,182,156,130,96,99,102,91,69,52,26,141,184,174,173,171,171,170
0,202,205,208,210,213,214,216,218,219,220,220,219,219,220,220,220,220,219,219,218,219,218,217,217,218,217,214,213,204,205,209,211,214,216,219,220,221,221,222,222,223,221,221,222,221,221,221,221,220,219,219,218,218,218,216,215,205,207,211,213,215,218,220,220,221,222,223,225,225,224,224,225,225,223,223,222,220,220,220,220,217,218,217,216,208,209,213,215,217,220,221,222,222,225,226,227,227,230,226,225,227,228,224,222,221,223,222,220,221,220,218,218,209,212,214,215,219,222,224,224,226,230,229,223,221,206,225,228,194,193,228,228,224,222,225,223,222,221,219,220,211,213,215,218,221,222,224,225,229,215,216,254,218,158,155,235,191,120,189,220,215,204,183,229,223,222,221,221,213,215,216,219,222,224,225,226,239,201,156,235,240,189,136,233,204,150,101,127,177,223,139,218,229,223,224,222,212,215,218,220,223,225,223,234,255,237,180,162,249,194,138,231,207,154,95,155,175,226,166,156,232,224,227,224,212,216,219,221,224,227,225,249,248,246,213,128,211,202,129,227,216,142,121,187,140,218,204,143,172,231,226,225,214,217,220,222,224,226,231,250,198,238,201,106,167,208,131,223,206,121,121,183,104,183,220,186,126,176,238,224,217,220,222,223,225,222,245,253,190,226,169,98,167,183,119,192,175,109,114,170,113,216,247,200,122,145,239,224,218,221,222,225,227,226,254,246,205,219,152,98,162,153,106,153,151,105,110,154,133,244,238,191,106,190,236,227,219,221,223,227,227,233,255,230,179,184,171,104,141,145,99,142,143,81,162,175,193,237,214,150,114,232,230,229,220,222,225,229,228,234,255,248,205,151,131,84,153,172,101,163,155,137,209,199,201,216,174,109,163,245,229,230,221,223,227,230,228,239,255,244,220,184,129,103,139,148,97,140,213,235,214,200,168,168,144,93,211,241,233,231,221,224,228,231,228,248,255,241,223,204,169,125,126,155,170,223,250,234,205,188,156,127,118,101,233,237,235,234,223,225,228,233,229,251,255,244,223,206,186,133,129,173,229,255,251,227,192,176,140,114,86,152,248,234,236,236,224,227,229,232,229,247,255,250,225,211,201,154,140,169,242,255,249,215,181,158,125,95,97,232,241,236,238,237,225,228,230,233,229,242,255,253,230,213,205,172,143,179,253,255,233,199,164,138,112,79,185,248,236,238,238,237,226,229,230,235,233,238,255,255,236,213,198,175,142,192,249,245,211,187,152,122,84,137,251,239,240,238,238,239,225,228,231,235,234,238,255,251,234,215,191,168,150,210,230,211,199,176,140,101,88,227,245,242,242,241,239,239,227,229,231,235,233,238,255,249,238,216,185,164,172,213,192,188,181,153,123,76,183,253,241,243,243,242,240,239,226,229,230,235,227,253,255,254,251,219,188,174,189,204,172,177,157,135,86,140,252,245,246,244,244,243,241,239,226,230,233,231,232,255,255,255,249,213,187,181,192,181,167,163,145,105,113,242,250,246,245,244,244,243,242,241,225,229,234,226,253,255,243,245,240,198,178,186,178,164,157,144,113,102,222,251,248,246,245,245,245,244,242,241,225,228,231,220,255,252,219,210,211,185,172,181,165,153,144,122,96,195,250,245,246,245,246,245,244,243,243,242,225,231,223,227,255,239,208,184,179,160,176,182,141,139,136,89,156,251,247,247,247,247,246,245,244,244,243,242,226,231,215,253,255,226,188,179,165,141,181,168,123,139,109,102,227,248,246,247,248,248,246,245,244,244,244,244
10,131,138,149,153,157,161,164,165,168,171,172,174,176,176,178,180,182,183,184,184,185,186,188,188,189,190,191,191,132,139,149,154,157,161,164,166,169,171,173,175,176,178,180,181,178,179,186,185,187,189,189,189,190,192,193,193,133,142,152,156,158,163,165,167,171,173,174,175,177,180,180,188,178,148,186,187,189,189,191,192,193,195,195,195,135,143,152,156,159,163,167,169,171,173,175,177,179,181,180,196,186,137,177,191,190,191,192,194,194,195,196,196,135,145,153,157,160,163,167,170,172,174,175,178,180,181,179,197,189,142,168,193,190,193,194,195,195,195,197,197,136,145,154,157,160,165,169,170,172,174,176,176,179,184,182,191,195,154,158,196,190,193,194,196,196,196,197,197,138,147,155,157,162,166,169,170,172,174,176,179,185,162,180,194,204,167,147,196,192,194,195,196,197,196,197,199,139,149,156,159,163,166,169,171,174,174,176,181,193,142,148,198,201,178,140,190,195,195,196,196,197,199,200,200,140,150,157,159,163,167,168,174,178,179,180,191,181,147,125,193,194,175,138,185,198,197,197,196,198,199,199,199,141,151,157,160,163,169,180,157,150,147,155,186,191,165,126,175,192,165,135,176,200,197,198,198,199,200,200,201,142,152,157,160,163,172,172,141,120,116,114,132,193,179,128,149,182,154,135,166,202,196,199,200,200,202,202,202,143,154,157,162,165,170,166,147,125,115,133,121,168,190,140,144,165,139,135,155,204,197,200,200,201,202,203,202,144,153,158,162,165,170,175,175,173,156,134,114,160,196,153,134,140,128,135,146,204,197,201,201,202,203,202,202,144,153,157,162,166,171,173,171,199,192,133,109,181,198,162,121,116,127,136,139,201,200,201,202,203,203,202,203,144,154,157,162,166,168,172,171,199,187,140,100,193,200,168,129,110,129,138,128,192,202,201,202,204,203,203,203,146,155,158,162,167,167,188,188,197,195,139,93,208,200,166,133,111,125,136,120,181,206,202,203,203,205,205,204,147,155,159,162,168,165,200,198,191,190,130,137,213,190,164,129,111,119,132,112,172,208,201,203,203,205,205,206,148,155,159,164,167,167,184,199,186,182,151,210,201,184,168,132,115,119,122,114,190,204,202,203,205,205,205,206,149,155,158,164,168,171,175,181,165,183,194,222,200,179,165,137,118,119,112,135,207,200,202,203,205,205,206,206,150,155,160,164,168,172,175,184,164,198,220,217,198,176,159,137,120,117,106,167,208,200,202,203,205,206,206,206,150,155,159,163,168,172,173,199,187,175,217,212,195,174,157,139,121,111,113,195,203,202,203,204,206,206,206,206,150,155,159,164,167,171,174,208,199,169,212,209,195,173,156,140,124,105,139,208,199,202,203,205,205,206,206,207,151,156,159,164,167,170,177,215,205,190,216,205,194,175,157,142,122,103,175,206,200,203,205,205,205,206,207,207,150,156,159,164,168,170,180,220,209,198,211,206,201,177,157,143,115,118,201,201,202,204,204,205,206,206,206,207,151,156,160,166,169,171,179,219,204,203,207,204,207,183,155,142,110,146,208,199,202,203,204,205,206,207,207,208,152,155,159,164,168,170,179,213,197,199,205,205,207,185,155,138,107,176,205,200,203,204,205,205,207,207,208,208,151,156,161,165,168,171,178,197,197,208,207,203,204,181,153,128,126,202,200,201,203,204,205,206,206,207,207,208,151,155,160,165,168,172,174,202,209,213,207,198,199,176,151,118,152,206,199,201,203,204,205,206,207,207,207,208
12,98,111,123,130,134,141,149,156,159,163,166,171,175,179,182,185,188,190,193,194,195,196,197,198,199,201,201,202,101,114,125,131,136,144,152,158,161,164,169,173,177,182,185,187,190,194,196,196,196,199,201,202,203,203,203,203,103,116,128,133,137,146,154,160,163,167,172,176,180,184,187,191,190,174,179,198,199,198,197,204,204,205,205,205,105,119,130,135,139,148,156,162,165,170,174,179,183,186,190,198,198,140,114,167,198,172,138,171,206,206,207,207,108,121,131,137,141,150,158,163,168,172,176,181,186,173,157,197,203,147,107,106,148,158,114,103,184,210,209,209,109,123,133,138,144,153,160,165,171,174,178,184,203,164,115,123,190,171,128,95,101,154,130,94,143,214,211,211,111,125,136,140,146,155,161,167,173,178,180,196,212,169,125,99,164,193,147,110,90,145,143,107,122,213,214,213,114,127,137,142,148,156,163,169,174,179,184,206,203,190,152,123,135,201,167,117,83,119,141,113,109,210,215,216,116,129,139,144,150,159,165,171,176,180,195,193,179,207,178,136,108,175,182,123,82,89,124,107,97,206,218,218,118,131,141,145,152,161,167,172,174,179,208,165,158,200,188,138,103,134,179,122,82,72,110,95,89,205,220,220,120,133,142,147,154,162,169,173,165,161,179,155,140,169,183,146,106,95,155,116,81,66,97,90,92,208,221,221,122,134,143,147,154,162,180,193,184,180,174,141,99,89,160,140,93,68,128,119,85,66,91,92,100,213,222,222,124,135,144,148,155,163,190,213,206,206,189,121,81,45,114,114,78,52,98,133,114,75,102,107,112,218,223,224,126,138,145,150,157,164,196,208,179,174,158,101,78,45,70,98,82,43,76,158,135,86,107,118,89,190,226,225,127,139,146,151,158,165,192,192,159,136,148,119,86,52,43,93,89,59,99,159,142,91,90,106,71,155,228,226,129,140,147,152,159,167,184,172,140,108,128,140,88,61,39,69,78,99,152,158,136,90,76,83,78,173,229,228,129,140,147,151,159,167,183,186,158,125,108,139,93,70,51,62,99,148,170,162,143,114,91,80,105,211,230,230,130,140,146,150,158,167,187,190,162,133,109,122,99,75,59,73,135,168,173,171,156,127,98,79,156,230,222,203,131,141,146,150,160,167,188,188,174,156,115,101,113,98,80,94,168,179,179,180,152,120,93,95,200,196,183,156,132,141,147,152,161,169,186,187,181,164,114,110,133,118,96,116,182,188,190,173,133,108,88,117,190,130,127,169,132,141,147,153,161,169,181,181,177,167,116,123,136,116,123,164,194,195,184,151,115,97,86,115,121,126,108,121,131,141,146,152,161,170,176,174,176,164,125,130,138,121,153,176,195,188,166,130,99,86,102,150,118,137,115,111,129,138,143,149,158,167,174,176,180,161,130,135,138,122,154,166,182,175,149,113,89,81,129,174,125,106,145,179,108,113,116,120,124,129,133,152,174,160,139,139,135,123,147,164,165,154,124,94,80,101,124,130,124,118,149,150,103,104,105,106,108,107,105,121,172,162,145,139,131,126,135,154,148,121,97,82,88,123,177,155,145,145,125,141,106,105,108,109,110,112,112,116,170,176,154,137,131,129,129,142,131,101,82,89,157,181,216,205,197,167,142,176,107,107,108,109,111,111,112,113,158,167,149,131,123,119,121,128,114,90,72,115,213,199,180,182,186,154,126,132,106,108,109,111,112,112,113,115,158,162,122,106,104,106,113,113,96,79,66,109,212,188,186,198,218,188,141,115
6,157,159,160,162,164,166,166,167,168,168,168,167,167,167,166,166,166,165,165,165,164,163,162,162,161,160,159,157,157,159,162,164,165,167,167,168,169,170,170,169,169,168,168,167,167,167,166,165,165,164,164,164,162,161,160,159,158,161,163,165,166,168,169,170,170,171,171,171,171,171,170,169,169,168,167,167,166,166,165,165,164,163,162,161,160,162,164,166,168,169,171,172,172,172,172,172,172,172,171,170,169,169,167,166,165,164,165,163,164,165,165,164,161,164,166,168,169,171,172,173,173,173,173,173,171,167,161,159,160,162,159,158,153,154,166,153,152,166,166,165,163,165,167,169,171,173,174,175,174,175,175,174,170,162,151,148,154,160,156,153,147,147,159,140,141,165,167,166,165,166,168,171,172,174,175,176,178,180,182,180,174,163,151,143,144,146,144,142,139,133,135,134,152,168,169,168,165,167,169,172,174,175,174,178,183,183,179,169,158,143,130,118,114,122,130,134,138,143,151,160,168,171,170,169,165,167,170,172,182,183,175,173,173,170,163,154,145,133,126,117,112,137,157,163,167,170,173,173,173,172,172,170,165,168,170,174,190,184,169,164,163,167,170,166,157,149,145,137,116,138,173,176,176,176,176,175,174,173,173,172,166,168,171,178,186,170,159,160,165,172,176,174,165,156,148,131,105,118,169,179,178,177,177,176,175,174,173,172,167,169,172,185,186,165,158,159,163,169,173,172,162,149,141,123,94,101,157,179,179,178,178,177,176,175,174,173,168,171,174,186,179,167,165,163,165,169,173,172,159,145,141,126,92,90,142,178,179,178,178,178,177,177,175,174,169,172,174,184,182,179,173,171,172,176,178,171,159,149,140,120,93,89,133,177,180,179,179,178,178,177,176,175,170,172,174,185,196,193,176,170,168,166,164,160,153,143,128,105,91,91,129,176,181,180,180,179,179,178,177,175,171,173,175,185,201,196,177,165,155,146,146,149,145,141,131,100,86,99,141,179,182,181,180,180,179,179,178,176,171,173,175,186,197,194,181,164,153,154,162,161,151,145,139,107,87,117,166,182,182,181,181,181,180,180,178,177,172,174,175,187,193,193,185,168,161,168,172,161,148,138,127,106,96,136,178,183,182,182,182,181,181,180,179,178,172,175,176,187,193,190,183,170,164,166,164,153,139,125,110,98,105,152,182,184,183,182,183,182,181,181,179,178,173,175,176,186,192,189,180,169,161,157,145,131,114,100,95,99,124,168,185,185,184,184,183,183,182,181,179,178,173,175,174,182,189,187,175,161,150,137,118,100,83,79,92,126,163,183,186,185,185,185,184,183,182,181,180,179,172,174,173,178,184,176,161,149,136,118,99,84,73,83,115,164,184,186,185,186,185,185,184,184,182,180,179,179,172,174,171,173,177,164,151,145,132,109,94,87,80,100,146,180,186,186,186,185,184,183,183,183,182,180,179,178,172,173,168,167,171,156,151,146,125,104,95,94,97,134,175,186,186,186,186,185,184,183,182,182,181,180,178,177,172,173,166,164,166,152,153,145,121,101,95,102,128,170,186,187,187,187,186,185,184,183,182,182,181,180,179,178,172,173,164,164,164,153,154,142,118,100,96,111,156,184,187,187,187,186,185,185,184,184,183,182,181,180,179,178,171,172,161,166,164,151,148,132,110,97,99,119,168,186,186,187,187,186,185,184,184,184,184,183,182,181,179,178,170,169,159,169,162,146,138,120,102,96,101,128,175,185,185,185,185,184,183,184,183,182,183,182,181,180,179,178
13,178,179,180,180,180,180,180,181,180,180,180,182,182,182,183,184,181,181,182,182,181,181,181,181,180,178,177,178,179,180,180,180,180,181,182,181,180,182,183,182,180,180,178,178,187,186,184,183,180,181,182,182,181,180,178,179,180,181,181,181,182,182,181,181,181,182,181,183,194,197,178,144,138,169,167,182,183,183,184,184,182,182,180,179,180,181,181,181,182,182,181,181,182,182,181,202,213,211,197,151,107,84,115,119,185,183,183,182,182,182,180,181,181,181,181,181,181,182,183,183,181,183,183,172,175,201,203,162,115,71,98,75,153,191,181,184,182,183,183,183,181,181,181,182,183,183,182,184,184,152,170,169,147,167,193,175,127,76,111,118,133,195,183,185,184,184,183,183,180,181,183,183,183,184,180,199,200,143,145,172,176,182,176,180,154,77,111,110,125,195,185,185,185,185,183,183,182,182,183,184,184,183,182,215,201,167,143,113,152,177,170,141,106,67,59,114,174,188,187,186,185,186,185,185,181,182,182,184,182,193,154,136,183,191,169,108,53,129,174,147,123,103,79,99,196,186,187,186,186,186,186,185,180,182,182,176,196,203,137,89,113,202,182,141,53,45,100,130,156,168,143,85,131,200,185,187,187,185,185,184,181,181,180,196,206,180,131,111,71,175,194,144,103,44,44,66,180,191,177,141,83,158,195,184,185,185,185,183,182,180,191,207,172,169,144,133,67,126,203,155,137,68,54,47,131,205,191,157,113,90,184,187,184,186,185,184,182,183,198,174,137,162,157,140,89,56,182,184,157,109,42,78,148,193,193,158,134,89,145,196,184,186,186,186,181,188,203,185,148,149,170,138,127,66,77,195,173,146,90,111,206,186,174,148,134,91,140,198,186,187,187,187,180,188,197,182,163,135,152,160,157,119,36,99,187,176,164,129,194,180,158,124,107,79,158,195,187,186,187,186,183,187,200,197,179,156,127,147,164,142,121,46,151,177,163,178,184,166,148,118,86,77,179,190,187,187,187,185,174,175,201,207,193,170,155,142,146,145,160,98,177,197,190,193,177,158,138,112,80,99,197,192,192,191,189,188,102,99,191,210,200,181,165,161,162,144,117,138,197,207,207,184,171,156,131,102,76,117,179,173,177,177,179,181,87,69,159,214,201,190,175,165,170,169,140,134,185,206,202,185,158,142,123,93,82,87,93,96,96,96,96,97,92,81,117,207,196,195,190,177,170,168,158,124,151,201,193,178,156,128,108,88,81,89,82,76,77,87,116,142,90,90,85,180,190,190,193,190,177,168,156,140,125,180,181,164,146,119,98,86,77,90,108,128,156,178,190,182,89,93,82,122,194,184,193,196,182,169,153,140,127,146,168,149,125,112,97,78,83,150,187,194,190,184,187,181,90,89,92,80,157,192,189,189,173,161,148,135,125,125,143,142,127,108,92,65,138,218,195,182,175,161,163,172,90,90,91,84,95,189,185,170,158,150,142,132,113,108,129,146,134,100,80,69,191,203,189,177,153,134,130,145,90,89,88,91,77,160,195,161,142,144,139,129,112,95,132,157,123,89,64,116,219,194,194,177,133,106,126,136,90,90,87,93,80,128,198,167,157,157,143,125,112,95,136,155,102,84,61,177,209,190,205,188,138,92,111,136,90,91,87,92,81,112,200,178,170,170,150,131,122,97,134,144,97,74,81,207,188,184,206,206,157,98,94,127,91,92,87,91,81,111,192,186,181,175,153,141,131,92,127,138,98,63,109,210,186,180,196,213,175,107,84,107
12,171,171,173,174,175,177,178,177,177,176,176,176,176,175,175,173,174,174,172,172,172,171,171,170,169,167,167,167,171,171,173,175,176,178,179,178,178,179,178,179,177,177,178,179,178,174,175,174,171,172,172,171,169,169,170,169,173,173,173,176,179,178,179,179,180,180,179,181,178,178,167,153,169,177,168,171,182,175,172,171,171,171,171,171,173,174,175,178,179,179,180,180,180,181,180,181,178,175,146,107,81,160,140,103,110,171,178,173,170,172,172,172,174,175,178,179,179,180,180,181,182,182,179,180,182,155,125,96,80,143,119,97,37,116,167,168,179,172,172,172,175,177,178,179,181,180,181,183,181,181,172,135,162,157,141,72,116,162,124,93,79,135,117,79,128,181,171,171,176,178,177,180,183,183,182,182,182,188,175,121,145,191,144,67,154,175,126,97,111,122,102,68,44,132,182,171,177,178,178,181,182,183,183,181,191,201,178,132,128,180,116,64,178,175,110,100,155,136,103,74,50,66,180,173,178,180,180,181,182,185,185,181,197,187,170,129,80,86,89,44,107,126,60,115,188,136,120,68,36,59,176,175,179,180,181,182,184,186,183,189,207,183,147,111,83,27,18,68,113,133,108,152,188,131,88,44,33,65,179,173,180,181,182,183,185,184,187,201,183,174,127,97,77,20,84,173,179,167,154,169,128,84,63,62,41,67,185,175,180,181,184,185,186,183,200,203,169,138,126,142,72,109,190,180,168,159,141,152,153,99,100,95,55,97,188,175,181,183,185,185,186,186,211,198,174,151,125,148,137,200,189,172,163,168,148,149,147,111,81,84,47,147,186,176,182,184,185,186,186,191,212,202,186,183,153,154,179,185,190,169,172,162,138,150,131,93,67,56,48,175,180,177,182,185,187,187,186,193,211,207,193,181,170,160,171,173,178,169,168,153,146,143,112,76,60,37,73,191,177,179,183,185,188,189,188,193,210,208,194,175,159,158,162,170,175,167,164,149,143,119,87,61,55,27,108,195,177,180,183,184,187,187,187,192,208,205,181,159,154,163,163,174,179,166,155,142,120,90,66,53,49,22,139,194,181,180,183,186,188,188,188,192,194,187,175,173,171,165,165,184,173,156,136,127,104,75,61,52,31,52,183,185,183,180,184,187,187,190,190,196,204,204,199,192,179,160,162,182,161,136,116,109,84,68,61,32,38,159,189,183,183,183,185,186,188,190,189,203,210,206,197,184,172,159,157,173,149,120,104,88,73,60,31,57,160,191,183,184,184,184,185,188,188,189,191,209,209,204,193,173,163,160,162,158,134,112,92,77,51,42,110,182,193,185,186,186,186,185,184,187,189,186,195,212,204,195,186,172,158,158,161,148,125,99,72,45,52,155,197,187,186,187,186,186,185,184,191,187,187,183,202,201,192,181,180,170,149,154,151,128,111,91,55,41,159,196,185,188,186,186,186,185,184,182,147,185,193,187,201,184,178,171,169,158,158,154,142,116,93,76,43,125,194,185,189,188,187,186,186,185,184,183,60,63,124,206,188,169,160,157,157,165,157,143,135,106,84,56,59,180,191,190,189,188,187,186,186,185,185,184,69,53,47,151,178,159,149,157,167,169,145,130,124,95,75,37,104,199,191,191,190,188,187,187,186,185,186,185,60,62,63,46,65,79,76,84,102,118,115,115,108,83,61,34,155,198,190,192,191,189,188,187,186,185,187,184,59,56,62,49,0,18,24,21,19,21,27,45,63,63,34,67,183,192,191,191,191,190,188,186,185,185,185,185
5,182,182,183,183,185,186,186,187,188,192,191,193,193,193,191,198,193,192,192,192,192,191,191,192,189,188,186,190,186,186,188,190,190,191,192,192,192,192,194,194,195,196,203,170,195,196,194,195,193,191,191,193,193,189,198,148,192,192,193,195,194,195,197,197,197,197,198,202,200,202,226,102,180,203,198,197,195,197,197,194,194,200,166,59,195,197,198,199,200,200,202,202,202,202,203,198,197,235,199,101,197,205,202,201,212,154,185,199,196,188,76,46,202,203,203,204,205,205,206,207,208,203,233,153,168,255,139,148,219,204,202,201,183,106,184,203,209,139,43,61,206,208,209,210,211,211,211,211,212,203,252,161,171,232,112,197,214,211,190,184,119,142,211,205,202,95,57,87,211,213,214,215,215,216,216,215,216,210,253,170,177,192,122,223,216,191,180,130,125,214,211,211,198,82,76,83,216,217,218,218,220,220,220,221,221,218,245,165,164,146,157,231,181,167,148,114,210,217,214,213,216,119,81,84,220,222,222,223,224,224,224,225,224,221,255,184,132,115,205,176,134,135,105,194,229,217,219,217,220,141,77,77,224,226,226,227,228,228,228,227,227,227,255,200,129,130,189,128,119,93,181,234,222,222,221,219,225,171,70,54,228,228,229,229,231,231,230,230,231,232,252,188,129,129,134,128,103,148,247,228,227,227,223,222,227,204,68,47,230,231,233,233,234,233,234,234,236,233,242,207,129,109,108,129,102,204,235,222,239,230,226,228,231,215,156,151,232,234,236,237,237,237,237,236,238,236,243,231,154,102,97,107,123,217,156,153,202,239,236,230,227,233,153,200,235,236,238,239,240,239,239,239,241,240,241,243,178,112,103,100,119,132,137,175,176,191,220,236,237,236,151,245,239,239,241,241,243,241,243,243,244,244,246,255,216,145,104,107,102,119,126,151,199,197,192,206,210,202,214,184,242,243,243,244,246,246,247,246,246,245,250,255,240,171,112,102,115,107,93,133,163,165,188,195,168,157,189,148,244,244,245,246,247,247,248,248,249,250,249,255,254,181,119,93,111,94,147,242,228,208,180,175,215,203,136,156,246,247,247,249,249,249,249,251,253,252,251,255,255,189,129,92,90,128,255,249,254,244,201,222,206,145,195,234,247,248,250,251,252,251,252,253,254,251,250,255,255,194,137,94,65,138,231,255,243,187,203,194,125,184,255,242,250,251,252,253,254,254,253,253,255,254,252,255,255,191,138,88,78,106,111,214,179,185,199,129,137,253,247,245,252,253,254,254,255,255,255,255,255,252,255,255,247,190,138,86,84,115,119,121,149,185,145,148,247,251,250,249,253,254,254,255,255,255,255,255,255,247,255,255,242,190,139,94,90,119,127,143,151,144,140,251,255,251,251,249,254,255,255,255,255,255,255,255,255,248,255,255,237,186,137,96,97,130,137,144,128,123,240,255,253,255,253,251,255,255,255,255,255,255,255,255,255,248,255,255,232,182,133,96,96,130,141,137,110,216,255,253,255,255,255,254,255,255,255,255,255,255,255,255,250,255,255,255,225,173,130,101,95,132,145,115,152,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,255,255,254,218,172,127,103,106,139,135,100,224,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,255,255,255,249,224,169,122,106,113,136,107,164,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,255,255,255,244,201,144,114,102,116,120,141,255,255,255,255,255,255,255,255,255
20,157,160,164,168,172,174,176,180,181,182,184,185,186,186,188,188,191,185,189,187,188,187,187,186,186,185,184,183,158,162,166,171,174,176,178,181,183,185,186,187,188,189,190,190,218,161,173,185,189,190,188,188,188,187,186,186,160,164,168,173,176,179,180,184,185,187,188,189,191,193,192,192,229,155,170,174,165,195,192,191,191,190,188,188,162,166,169,174,179,180,182,186,186,188,190,192,193,193,193,195,228,160,189,188,140,197,195,194,194,193,192,190,163,167,171,175,180,181,185,188,189,190,192,194,195,196,194,198,236,177,189,205,136,194,197,196,196,195,194,192,165,170,173,177,181,183,186,189,192,192,194,196,197,199,196,204,239,177,194,221,146,190,200,200,199,198,196,195,167,171,175,179,182,185,189,192,194,195,196,196,197,198,198,213,230,173,207,217,145,187,203,202,201,200,198,196,170,174,177,181,185,188,190,193,195,196,199,200,201,214,203,213,229,171,214,212,140,187,205,203,202,201,200,198,171,176,179,184,187,189,193,194,197,199,200,198,222,255,226,164,182,165,214,209,142,193,206,205,204,203,202,200,172,178,182,186,189,191,194,196,199,201,206,227,223,207,213,168,122,130,190,190,143,198,209,207,205,205,204,202,174,179,183,186,191,194,197,198,200,199,228,247,233,180,190,195,185,154,141,160,137,202,210,209,207,206,206,205,177,180,184,188,192,196,199,200,202,203,232,195,187,211,154,198,223,185,121,125,128,206,210,210,209,207,207,207,178,182,186,190,193,197,200,201,204,203,234,183,122,131,103,134,215,201,143,112,119,206,212,212,211,209,209,209,179,183,187,192,195,199,201,204,206,207,232,190,170,137,111,109,184,232,179,117,114,206,215,213,213,211,210,210,180,185,188,193,197,200,202,205,207,210,245,223,175,140,129,136,160,248,210,138,106,203,216,216,215,213,212,212,182,185,189,194,198,200,204,207,208,213,247,211,159,139,141,157,185,253,228,162,110,196,219,217,216,214,214,213,184,187,191,196,200,202,206,208,208,213,247,215,173,157,159,171,223,255,226,176,118,195,219,217,217,216,215,215,186,189,192,197,201,204,207,209,211,215,251,228,188,166,178,195,252,253,215,174,121,194,223,221,219,218,217,216,186,190,194,199,202,205,207,211,214,216,251,238,203,172,191,218,255,249,210,167,124,194,226,222,220,219,219,219,186,190,194,198,201,204,207,211,213,214,249,244,208,189,192,236,253,234,205,161,119,191,227,221,220,220,220,220,186,191,195,199,201,205,208,211,213,213,246,247,214,210,197,240,250,221,197,155,113,188,227,223,221,218,218,218,187,192,196,199,203,207,210,212,214,214,236,250,226,224,210,226,238,209,188,152,106,189,228,223,222,221,219,218,187,192,195,199,204,208,210,213,215,216,227,250,234,229,215,202,219,188,180,142,103,196,228,224,223,223,222,222,188,193,197,201,205,208,210,214,216,219,223,249,242,223,195,181,194,175,179,139,109,216,227,225,225,223,225,222,189,194,199,203,206,208,211,215,219,223,219,248,234,204,168,159,181,174,171,120,137,232,228,228,228,230,211,151,184,189,195,201,204,209,212,219,201,117,93,234,220,185,157,153,191,167,154,97,175,238,231,231,232,208,134,106,143,145,147,150,152,157,159,164,153,87,35,190,229,194,157,166,206,146,123,74,68,167,197,197,191,128,95,93,110,108,112,115,116,114,113,116,129,128,94,127,201,183,163,180,198,121,98,50,40,90,117,124,132,107,82,73
5,100,104,109,113,117,121,124,126,127,130,131,131,132,133,132,131,131,132,132,130,131,130,128,127,125,125,124,123,101,107,112,115,120,123,125,129,129,131,133,134,134,134,135,134,133,133,133,134,132,133,131,129,128,127,127,125,104,110,115,119,124,125,128,131,132,134,135,136,139,137,138,137,134,146,76,115,139,133,134,132,132,131,127,126,106,113,118,121,124,126,129,133,135,134,146,123,83,145,139,136,151,135,45,110,144,137,135,134,134,133,130,128,109,115,119,123,127,129,131,135,139,134,157,113,50,145,143,142,161,79,64,146,140,140,138,137,136,135,133,132,111,116,121,125,130,130,137,139,141,135,173,80,74,155,141,159,127,37,114,150,141,142,141,141,139,138,135,135,112,117,123,127,129,143,105,130,144,148,174,44,107,157,149,156,79,64,153,146,144,144,144,143,142,140,139,139,115,120,125,130,129,158,85,89,149,165,156,39,134,155,152,117,48,125,157,149,148,147,147,147,145,143,143,143,117,122,126,131,133,154,117,60,153,169,108,52,149,148,140,57,75,161,152,152,151,150,150,150,148,147,145,145,118,123,128,133,135,147,144,51,145,155,58,71,159,133,126,42,120,164,154,154,153,153,152,151,150,151,150,148,119,125,130,136,140,142,167,81,111,155,69,74,148,122,106,52,142,162,156,159,159,157,153,152,152,151,152,151,122,127,133,138,142,141,168,123,70,147,83,62,99,107,72,68,164,160,156,139,144,158,161,155,153,153,153,153,123,129,135,138,143,145,159,161,96,83,84,63,73,97,53,87,168,148,148,151,141,131,131,160,156,156,155,154,125,130,137,142,147,149,150,162,145,88,73,79,73,79,52,79,126,142,130,131,144,147,99,130,165,158,158,156,126,132,138,143,146,150,153,153,172,147,94,75,58,58,48,75,89,98,78,63,106,121,129,82,132,164,158,159,127,132,137,142,147,151,157,154,186,187,116,71,54,49,45,67,74,51,83,143,169,159,133,128,87,159,161,160,129,134,141,145,150,151,157,155,173,204,134,71,51,48,47,59,56,82,172,171,167,158,147,97,116,170,161,163,129,135,142,146,150,152,158,158,163,205,133,75,53,47,43,61,40,114,185,165,168,140,118,62,145,170,164,166,130,136,143,148,152,155,159,159,159,189,126,79,56,42,41,63,64,77,137,176,159,134,92,55,148,172,165,166,133,138,143,149,152,155,160,160,157,194,129,81,63,45,43,59,71,89,90,97,135,134,74,81,168,169,168,167,132,138,143,149,152,155,161,160,161,192,127,94,74,48,41,62,79,98,110,79,117,116,71,132,176,170,169,168,133,139,145,150,154,158,162,159,163,181,130,103,76,52,40,71,97,106,112,86,84,96,89,172,170,170,170,169,134,140,146,151,155,159,163,160,160,180,134,105,75,55,41,74,100,103,99,78,67,70,134,180,170,171,169,170,134,142,148,152,157,159,164,162,163,173,129,100,77,61,51,69,89,89,86,69,75,135,177,175,174,173,172,172,136,142,148,153,157,160,164,160,179,176,123,97,84,62,59,71,85,85,74,74,155,183,175,175,175,175,174,173,137,143,149,154,158,159,165,157,187,187,138,104,78,65,60,68,75,68,69,135,183,174,176,175,175,175,175,174,136,144,150,153,158,159,167,160,184,174,134,88,61,65,67,69,70,85,150,181,176,178,177,177,176,176,175,173,138,144,149,153,158,160,166,166,183,170,138,88,60,65,66,63,86,167,188,177,178,178,178,177,176,176,176,174
12,210,212,212,213,214,215,216,216,216,217,216,217,218,218,218,218,218,218,218,218,217,217,217,218,216,217,217,215,212,213,214,216,215,216,218,218,217,218,218,218,219,218,219,219,219,219,219,219,218,217,217,219,218,218,218,217,212,213,215,217,217,218,219,220,219,219,220,220,220,220,220,221,221,221,222,221,219,219,219,219,219,219,219,218,213,215,215,217,218,218,221,221,219,220,221,221,221,220,221,222,222,223,222,221,221,222,221,221,220,221,220,219,216,217,218,218,218,218,221,222,221,220,221,223,221,229,222,218,224,222,223,225,223,223,223,223,222,222,221,221,217,218,219,220,220,221,221,223,221,230,233,218,229,244,231,189,200,233,224,211,225,223,224,224,224,223,223,222,218,219,220,221,222,223,223,220,235,255,247,204,218,252,236,174,153,235,226,175,195,228,223,226,225,225,225,224,218,219,221,223,223,223,225,218,243,255,251,203,206,255,235,182,144,232,218,174,149,227,227,226,225,225,226,225,219,221,223,223,224,225,224,221,249,255,252,202,203,255,231,195,170,236,203,160,133,213,233,227,227,226,226,226,220,223,223,223,225,222,237,247,222,233,251,228,184,255,240,194,188,237,211,156,125,203,235,228,228,228,228,228,221,223,224,225,225,226,255,249,201,190,227,217,162,243,238,164,192,244,197,147,123,198,238,229,230,229,229,228,223,224,226,227,222,246,255,252,222,169,202,173,128,173,177,138,199,208,152,127,122,196,240,230,232,230,230,229,224,226,227,228,225,255,255,255,229,185,171,168,118,112,129,202,224,202,161,162,147,198,241,231,232,232,230,230,225,227,229,228,229,255,241,255,234,207,156,138,147,129,201,255,255,235,204,203,171,200,241,232,233,232,231,231,226,228,229,227,235,255,250,234,235,210,169,137,138,189,255,255,252,234,207,194,162,183,243,233,234,232,232,232,228,229,230,226,249,255,255,214,230,209,180,143,133,252,255,255,252,235,211,183,151,184,245,235,236,233,233,234,229,230,232,226,255,255,255,238,214,209,219,169,167,255,255,255,250,232,200,178,147,187,245,235,237,235,235,235,230,231,234,229,246,255,255,242,211,190,211,204,233,255,255,255,250,227,198,175,149,169,244,236,238,237,236,236,230,231,234,229,249,255,255,248,234,220,203,243,255,255,255,255,250,222,203,170,147,161,245,238,237,238,237,236,231,232,234,231,251,255,255,255,248,243,227,244,253,255,253,253,244,225,198,167,137,182,249,238,238,238,239,238,231,233,236,232,248,255,255,255,255,245,233,238,245,255,250,242,235,225,186,161,134,221,243,239,241,239,240,239,232,234,236,235,241,255,255,255,255,240,231,238,239,255,245,232,231,215,177,142,161,248,238,240,241,240,241,239,232,233,235,236,235,255,255,255,252,234,224,234,235,246,237,228,222,197,160,129,215,248,241,242,242,241,241,240,233,236,238,242,239,255,255,255,247,233,229,238,243,255,245,230,211,179,133,163,250,242,243,242,243,242,242,241,232,227,222,216,204,214,209,186,183,180,179,185,180,186,175,166,161,148,124,230,255,244,245,244,244,244,244,242,180,176,168,160,143,133,131,125,118,111,104,102,89,88,89,87,87,90,94,140,200,245,246,243,244,244,244,243,160,161,163,155,144,137,134,127,120,114,110,102,94,92,92,90,86,83,80,73,77,227,248,242,243,243,242,242,174,160,162,153,144,136,131,125,120,110,106,100,93,91,91,89,84,81,84,72,131,250,241,244,243,243,242,242
13,175,178,180,181,182,183,185,187,187,186,186,187,187,188,189,189,188,190,188,188,188,188,188,189,189,188,188,188,177,179,181,183,185,186,188,188,188,188,189,188,188,189,182,187,193,190,189,190,190,190,191,191,191,191,190,189,179,181,183,184,185,187,188,188,189,191,194,192,195,188,146,115,176,195,192,191,192,193,193,193,193,194,192,192,180,183,186,186,188,189,190,190,191,188,171,177,204,193,148,82,140,201,194,197,194,195,195,195,195,195,195,195,181,184,186,187,189,192,193,191,207,192,139,118,177,189,147,85,120,136,128,160,198,196,196,195,194,195,195,195,183,185,187,189,191,193,193,188,214,206,158,114,170,192,138,81,102,150,109,72,176,202,198,197,196,196,197,197,184,185,188,191,191,192,195,163,126,156,175,118,163,189,129,76,162,169,118,66,138,207,200,199,199,201,200,199,186,188,191,193,192,201,205,163,124,94,160,117,154,206,130,101,181,153,112,67,141,207,201,201,201,202,202,201,188,192,193,193,200,201,199,181,140,92,135,128,124,173,115,106,187,158,106,61,164,207,202,202,204,203,203,202,190,193,195,195,204,173,182,186,138,91,104,139,84,49,56,116,197,160,90,67,184,205,203,203,203,204,203,202,191,193,193,201,206,179,155,175,141,87,84,133,92,14,63,146,155,105,62,84,203,206,205,205,203,204,205,204,194,195,196,211,201,170,135,178,136,88,77,117,97,32,60,157,171,132,86,125,214,207,207,207,206,205,206,205,193,194,197,217,204,171,128,166,129,88,72,117,106,74,160,163,159,147,124,100,203,208,208,208,207,206,206,207,194,196,199,218,196,163,123,140,131,98,70,152,133,131,196,177,150,125,105,79,169,214,210,209,208,208,208,208,196,197,201,217,197,172,149,126,128,125,57,144,160,189,192,171,145,109,91,79,180,213,210,210,210,209,209,208,195,197,205,217,199,178,160,133,104,91,69,166,201,208,188,160,135,103,85,89,203,211,211,211,212,210,210,209,196,197,205,217,199,177,162,152,119,109,125,202,208,207,177,148,123,95,81,115,215,212,212,212,212,211,210,211,198,198,204,212,200,182,169,162,131,119,123,196,208,194,159,131,110,88,78,168,218,214,215,213,212,212,212,212,198,199,200,204,201,186,172,166,141,118,126,195,204,178,147,121,100,80,113,213,216,216,215,214,213,214,214,213,198,199,199,204,204,188,172,166,145,121,141,180,193,161,138,111,93,75,173,219,214,216,215,215,214,214,214,213,197,199,200,204,204,189,171,162,144,120,147,171,167,143,126,103,86,94,207,214,213,215,214,214,214,214,213,214,197,199,199,206,203,180,166,151,130,119,152,156,141,130,114,96,78,149,219,215,214,214,214,214,214,214,213,213,198,199,194,208,196,172,163,138,124,127,154,143,132,122,104,87,105,205,215,214,214,215,215,215,215,214,214,214,197,197,193,217,191,174,163,139,134,143,156,136,128,109,94,86,180,216,214,215,214,215,215,215,215,215,215,214,197,194,200,220,194,186,166,140,144,154,144,126,115,93,78,140,213,215,214,214,214,215,215,215,216,215,215,215,198,191,203,206,189,189,170,147,152,149,131,113,98,82,91,200,216,214,214,214,214,216,216,216,216,215,215,215,199,186,201,193,176,176,163,144,143,143,121,97,90,70,146,215,215,215,213,215,215,215,216,217,216,216,216,216,148,164,204,186,167,150,143,132,141,147,108,93,86,75,173,207,208,210,212,213,215,215,217,217,216,217,214,206
4,127,130,133,136,139,143,147,150,152,154,157,158,160,162,165,166,166,166,167,168,169,169,169,169,169,169,168,167,128,132,134,137,141,145,149,152,154,155,158,160,163,164,165,165,168,168,169,170,170,171,171,170,171,171,170,169,130,134,135,138,142,147,150,152,156,157,159,163,163,172,159,133,148,171,166,165,172,173,173,173,173,172,171,171,132,135,137,140,144,148,151,154,157,162,154,149,165,192,170,131,113,151,147,122,151,175,174,175,175,174,173,173,133,136,138,142,146,150,153,155,169,189,163,144,145,188,177,152,123,112,143,110,102,164,177,177,177,176,176,176,135,137,138,142,147,151,155,154,185,214,191,167,132,160,186,159,133,93,135,122,95,136,179,177,178,178,177,177,136,138,139,143,148,152,154,156,179,201,210,188,146,129,187,166,132,87,130,128,97,128,181,179,179,179,179,178,136,139,141,145,150,152,167,175,168,167,178,188,144,102,150,163,119,82,121,125,92,125,182,180,179,179,180,179,137,139,142,146,151,151,191,205,193,177,147,127,116,84,101,127,95,75,104,107,84,135,182,180,181,181,180,180,137,139,143,147,151,153,196,193,189,179,137,87,83,79,70,99,79,60,82,77,75,151,183,182,183,182,181,181,138,139,143,147,153,156,185,142,134,144,113,77,68,85,61,89,99,114,130,87,70,161,184,183,183,183,183,183,140,141,143,148,153,158,179,122,85,110,114,82,68,87,88,112,151,177,161,109,82,137,180,185,184,185,184,184,141,143,144,149,154,157,179,139,110,97,118,93,93,129,137,151,173,178,144,108,95,92,126,170,185,186,185,185,141,143,145,150,155,157,180,155,127,98,90,78,94,146,136,145,153,142,115,102,102,99,93,104,150,186,186,186,142,145,147,151,156,158,178,167,126,92,77,67,65,104,108,112,110,103,91,96,102,103,100,91,95,172,188,187,143,145,148,153,157,158,177,176,137,111,93,79,64,61,80,98,103,95,84,88,101,110,103,95,93,160,189,187,144,145,148,153,157,159,175,187,158,120,101,86,74,70,93,130,139,136,127,111,108,119,105,96,106,172,190,187,143,146,148,154,158,160,174,188,162,132,120,99,85,80,114,162,178,177,168,145,125,116,103,98,133,186,190,189,143,146,149,154,158,161,171,190,165,151,136,107,91,88,123,179,189,183,168,143,122,105,98,106,166,191,190,191,145,146,150,155,158,162,169,187,168,159,137,103,94,95,125,180,180,171,158,137,115,101,97,124,187,192,192,191,146,146,150,155,159,163,168,183,169,154,130,100,99,102,126,169,164,157,148,129,108,101,103,152,194,193,192,192,146,146,150,155,160,165,167,180,170,151,125,103,109,110,136,161,155,150,137,116,102,102,115,177,193,192,193,194,145,147,151,157,161,164,168,176,173,150,123,117,126,119,137,150,146,138,119,104,100,104,143,191,194,194,195,194,146,147,151,157,161,165,169,173,172,150,132,133,132,120,119,130,127,118,104,99,100,118,176,194,195,195,195,194,146,147,152,157,162,165,170,172,175,159,140,133,124,110,101,106,105,101,98,102,102,144,194,197,197,196,195,195,146,147,152,157,161,166,170,172,176,171,139,119,110,100,97,99,99,99,100,102,95,151,197,197,197,196,195,195,147,149,154,158,162,166,170,173,175,175,141,108,96,94,96,101,101,99,100,98,86,136,197,196,196,197,197,197,147,149,153,158,162,166,171,174,175,172,151,115,103,105,106,107,104,98,98,95,87,122,195,196,196,197,198,198
10,140,144,146,149,151,154,156,158,160,162,162,163,164,164,165,164,165,166,166,166,166,166,166,165,167,166,166,166,143,146,148,151,154,157,158,161,162,164,165,166,167,167,167,167,168,168,168,168,168,168,168,167,168,168,167,167,145,148,151,153,156,159,161,164,165,167,168,168,169,169,170,170,170,172,172,171,171,170,170,170,170,171,170,169,146,150,153,156,159,161,164,167,168,169,170,171,172,172,172,172,174,166,168,175,173,173,172,173,173,173,172,172,149,152,156,158,161,163,166,169,171,173,173,173,174,174,175,172,182,164,132,179,174,174,174,175,175,175,175,174,151,154,157,160,163,166,168,170,173,174,174,175,176,177,176,175,181,185,131,155,181,176,177,178,178,177,177,176,152,156,159,162,164,167,170,173,174,175,176,177,177,179,179,181,179,190,160,132,182,179,179,179,179,179,178,179,154,157,161,163,167,169,172,174,176,177,178,179,179,179,179,173,177,193,193,138,165,185,179,181,181,181,180,180,156,159,162,165,168,171,174,176,177,178,179,180,181,180,188,153,126,192,206,161,136,188,182,184,183,183,183,182,157,160,163,166,170,174,175,177,178,180,181,182,183,181,191,178,119,143,210,181,124,176,187,185,185,185,184,184,158,161,165,169,172,174,176,178,180,181,183,184,185,184,187,208,180,140,166,193,128,158,191,184,186,186,186,186,159,162,166,170,173,174,178,179,180,182,184,185,184,192,183,181,212,159,106,175,142,138,195,185,188,188,188,187,160,163,167,170,174,176,178,180,182,184,184,185,187,195,176,122,166,174,118,113,126,121,197,187,189,189,189,189,160,164,168,171,174,177,179,182,184,185,186,185,205,191,158,98,91,173,147,94,90,96,179,194,190,190,190,190,161,164,169,171,175,178,180,183,185,186,187,184,207,185,120,70,61,141,158,123,87,83,143,200,190,191,190,191,162,166,169,173,175,179,181,184,186,185,193,195,180,204,177,106,58,133,166,155,113,86,121,199,192,192,191,191,163,167,169,173,176,179,182,184,186,185,198,211,191,176,208,160,95,165,184,170,126,85,109,197,194,194,194,192,164,167,171,173,176,180,183,185,186,188,186,190,209,165,166,202,142,169,187,163,132,87,104,198,195,195,195,194,163,166,170,172,176,179,181,184,185,187,187,167,179,158,124,172,136,174,195,161,129,94,102,196,196,196,195,194,163,167,171,173,176,178,180,184,185,185,194,196,169,158,131,136,204,208,192,163,120,93,106,196,195,195,193,194,164,167,169,173,177,179,181,184,185,185,193,208,185,157,150,181,219,204,187,151,114,95,111,199,195,195,194,194,164,167,169,173,177,179,181,184,185,187,186,204,192,183,174,193,213,192,173,141,111,104,105,196,196,195,195,194,164,167,171,174,176,179,181,184,185,187,187,198,197,193,189,183,209,182,164,141,129,121,105,194,196,195,196,196,161,165,170,174,179,181,184,187,189,191,193,196,201,200,197,169,193,178,170,152,147,124,113,199,197,197,197,197,111,113,117,122,125,128,132,137,140,142,142,157,203,201,192,172,171,174,180,164,141,110,118,189,188,191,192,194,104,105,105,105,104,102,102,103,104,104,106,105,177,192,178,171,164,168,191,169,133,107,103,114,116,119,122,124,109,109,110,110,110,114,114,114,113,113,115,106,140,187,168,171,170,171,182,164,130,104,110,114,111,113,112,111,106,107,108,108,108,109,110,114,112,111,111,110,118,181,179,172,177,170,168,168,130,103,115,121,119,121,121,122
7,113,121,130,136,140,143,148,154,158,162,165,167,170,172,174,176,177,179,180,181,181,181,182,182,182,182,182,180,113,121,131,138,141,144,149,155,159,162,165,168,171,174,175,177,178,179,181,182,182,182,183,183,183,183,182,181,113,122,132,139,143,146,150,156,160,163,166,169,172,174,176,178,179,180,182,183,184,184,184,184,184,184,183,182,114,122,132,140,144,147,152,157,161,165,168,171,173,175,177,179,180,181,183,184,184,185,186,185,185,185,184,184,114,123,132,140,144,147,152,157,161,166,169,172,174,176,178,180,182,183,184,185,186,186,186,186,186,186,186,186,115,123,133,140,144,148,152,157,162,166,170,172,174,177,180,182,183,184,185,186,187,187,187,187,187,187,187,186,116,124,133,141,145,148,153,158,163,167,170,173,175,178,180,183,185,185,186,187,188,188,189,188,187,187,188,187,116,125,134,142,145,149,154,160,165,168,171,174,176,179,181,182,184,185,186,188,188,188,189,189,189,189,188,188,117,125,135,143,146,150,158,170,176,174,176,181,184,186,185,180,179,183,181,180,178,178,184,188,189,190,190,190,117,126,136,145,152,165,182,192,191,181,176,185,192,194,190,180,179,187,181,172,165,159,169,174,186,192,192,191,118,128,141,159,178,192,198,198,192,176,165,171,181,186,184,171,170,179,175,168,160,153,158,159,181,191,192,191,125,144,170,190,199,199,199,200,190,169,159,168,183,189,189,178,172,175,174,177,173,163,159,163,171,179,185,190,165,185,199,202,203,201,201,200,187,159,144,149,166,172,174,172,171,170,172,177,178,171,167,168,164,169,170,180,202,205,206,205,207,203,203,204,189,147,122,122,124,120,123,133,146,153,156,158,160,160,158,158,156,160,163,179,211,211,208,206,206,204,206,206,179,134,111,111,109,95,86,98,146,169,174,175,174,173,172,171,171,174,181,189,211,209,207,204,205,205,206,198,162,120,107,110,112,106,94,94,155,188,192,193,193,193,193,193,193,193,194,194,207,207,207,206,207,208,208,196,153,110,96,97,109,120,111,101,145,188,193,194,195,196,195,195,195,195,195,194,206,208,208,206,207,207,208,189,145,107,93,79,85,110,115,113,149,188,194,195,195,196,195,195,195,195,194,193,204,203,200,195,190,190,187,162,131,109,100,90,86,104,121,136,163,178,181,182,182,182,182,181,181,180,179,179,190,189,184,176,168,168,162,138,120,111,105,98,96,105,116,124,129,130,131,131,132,131,129,129,128,127,125,124,169,169,164,157,150,146,137,120,111,107,108,104,103,104,106,106,105,105,104,104,104,104,104,104,104,102,100,98,136,141,139,132,123,118,114,110,108,107,108,109,108,108,108,107,107,109,109,107,106,105,104,104,103,102,100,100,111,112,110,108,107,108,109,109,108,108,108,108,108,108,108,107,107,109,110,109,109,106,103,103,102,102,102,101,95,92,95,104,108,110,110,109,109,109,109,109,109,108,108,108,107,107,106,107,107,105,104,103,102,102,102,102,100,94,96,105,109,110,110,110,110,110,111,111,110,109,109,109,109,108,107,107,106,106,105,103,102,102,105,121,109,100,97,103,109,110,110,110,110,110,111,111,110,109,109,109,109,108,107,107,106,105,105,104,103,104,126,168,105,99,97,100,107,110,110,110,110,110,110,110,110,109,109,109,109,108,107,107,106,105,104,104,105,119,164,185,105,101,96,96,106,110,110,110,110,110,109,109,109,108,108,108,108,108,107,107,106,105,105,105,118,151,173,171
11,129,133,138,142,144,147,149,152,154,156,158,159,161,163,165,165,167,168,168,170,171,172,172,172,172,172,171,170,130,134,139,142,145,149,151,153,155,157,159,161,164,165,166,167,168,170,171,172,173,173,174,173,174,174,173,172,131,135,140,143,145,149,152,154,157,158,160,162,165,166,166,168,170,171,172,173,174,174,175,174,175,175,174,174,132,137,141,145,147,149,151,154,158,159,161,163,165,167,167,166,169,172,173,174,174,175,175,175,175,176,176,176,133,138,142,145,148,150,153,156,159,161,163,165,166,168,170,156,139,172,175,176,176,176,177,177,177,177,177,177,135,139,143,147,149,152,154,158,160,163,164,166,168,169,174,157,112,166,176,177,177,178,179,178,178,178,178,177,135,140,143,147,151,153,155,159,161,164,166,167,169,169,181,151,109,167,177,178,178,179,179,179,179,178,178,178,135,140,145,148,151,153,157,160,163,165,167,168,169,171,185,135,116,175,178,179,180,179,180,180,180,179,180,180,136,141,146,150,151,154,157,160,163,166,168,169,170,178,184,126,130,179,180,180,181,181,181,181,181,181,180,180,137,142,146,150,152,155,158,160,164,166,168,168,171,186,162,113,147,180,181,181,182,182,182,182,182,181,181,181,138,143,146,150,153,155,158,161,164,166,167,168,169,184,130,107,165,180,181,181,181,182,182,182,182,181,181,181,138,143,147,150,154,156,159,162,163,163,174,172,137,141,113,120,178,181,181,182,182,183,183,182,183,182,182,181,138,143,147,151,156,159,153,160,175,148,147,159,121,98,99,146,182,181,182,182,182,183,183,183,183,183,182,182,138,143,150,169,185,178,144,118,166,137,109,139,113,87,96,167,181,181,182,183,183,183,184,184,184,183,184,184,138,142,163,172,166,177,142,106,151,121,114,145,106,79,110,179,181,182,183,183,183,185,185,185,185,184,184,184,138,147,167,155,141,166,137,106,142,108,126,138,96,75,128,184,182,182,183,183,184,185,186,186,186,185,184,183,137,158,171,139,117,148,126,101,128,101,132,122,84,73,142,184,182,182,183,184,185,185,186,186,186,186,185,184,139,175,170,141,118,131,102,102,110,94,127,105,75,70,146,183,182,183,184,184,183,185,186,186,186,185,185,185,150,188,166,141,118,115,93,109,91,95,133,88,68,76,130,179,180,178,172,164,159,156,170,185,186,186,185,185,166,190,161,141,120,105,99,120,75,81,115,82,94,109,120,151,165,170,167,158,148,134,126,150,185,187,186,185,169,183,164,147,128,110,108,120,109,121,133,140,144,144,148,158,162,158,148,135,129,132,124,112,172,187,186,186,164,181,168,153,135,120,129,152,162,160,158,159,155,143,145,145,129,127,139,151,167,177,167,153,179,187,187,186,168,186,169,156,137,126,140,165,163,156,159,154,143,120,116,119,142,169,183,187,188,189,188,188,187,187,187,187,182,185,161,147,131,127,141,158,154,152,151,135,113,100,127,164,183,186,187,187,187,188,188,188,188,188,188,188,189,162,145,136,130,131,138,143,147,142,125,101,104,145,177,184,185,186,186,187,188,189,189,188,188,188,188,188,187,157,142,142,140,135,134,128,129,113,94,121,164,180,182,183,185,186,186,187,188,188,188,188,188,189,188,188,183,166,137,151,152,138,128,112,103,96,136,171,177,178,179,181,183,184,183,185,186,187,187,187,187,188,189,192,182,169,134,158,155,133,115,99,87,129,171,173,175,177,178,180,181,183,183,184,185,185,186,187,196,203,205,206
0,196,198,201,202,203,205,204,203,203,203,203,202,203,201,201,200,198,199,198,198,196,195,194,191,192,191,190,188,198,199,202,204,205,207,207,207,205,205,205,204,206,203,203,202,200,199,198,199,199,196,196,194,194,191,190,190,199,200,202,206,206,208,208,208,208,206,206,206,207,205,203,201,199,202,201,199,199,197,197,194,193,194,192,193,201,202,205,206,207,210,209,210,209,207,208,207,205,207,205,222,200,170,197,204,200,202,198,197,195,195,192,193,202,204,206,207,208,209,210,211,212,212,209,206,220,201,204,255,209,161,130,183,167,180,204,194,197,195,194,193,204,207,208,209,209,210,210,214,212,210,206,224,248,214,209,255,214,164,125,197,165,118,158,129,172,202,196,195,205,208,210,210,212,213,213,211,214,227,189,237,248,218,206,255,228,149,185,229,158,90,118,99,167,205,197,197,206,210,213,212,214,215,218,207,239,255,211,233,255,215,186,255,235,149,150,201,140,85,127,103,186,203,198,198,210,211,214,215,215,216,216,212,249,255,246,202,255,224,158,215,209,144,104,168,117,114,163,101,180,204,197,200,211,213,214,214,215,218,213,226,237,255,255,178,237,208,131,164,189,139,100,165,109,164,188,105,161,210,198,201,213,215,216,216,216,219,214,236,226,227,224,156,197,185,114,107,194,132,94,177,120,204,198,110,165,211,200,202,213,216,216,217,218,220,213,248,247,212,204,134,166,188,110,81,201,145,98,107,177,229,180,103,180,211,202,202,213,216,217,217,219,219,223,255,211,168,197,154,129,208,122,91,183,209,208,134,193,219,154,102,197,208,205,203,216,218,217,219,219,218,234,255,227,174,154,164,128,188,136,157,227,237,216,187,152,177,140,114,210,206,207,203,216,219,220,221,222,220,236,255,233,195,163,154,199,205,224,241,236,221,192,172,154,129,124,119,212,206,207,204,218,221,224,224,226,219,250,255,240,218,201,181,207,245,254,255,237,213,186,162,144,117,100,127,216,206,207,207,218,222,224,225,226,220,255,255,248,233,213,193,224,255,255,255,240,207,185,157,131,110,94,180,216,210,209,208,220,224,223,225,228,222,255,255,249,227,207,198,229,255,255,255,241,207,175,145,121,96,126,219,213,210,209,208,219,221,224,224,228,221,255,255,252,228,206,194,224,254,255,248,231,199,162,130,110,95,187,218,211,210,210,208,218,220,224,225,227,221,241,255,247,228,213,199,228,244,235,219,196,173,150,122,100,172,221,213,212,212,210,208,218,222,225,225,228,223,238,255,230,233,223,201,224,236,219,191,165,155,132,111,177,222,214,215,214,212,210,207,223,224,227,227,230,226,239,255,234,235,219,202,217,232,207,167,144,136,110,178,225,217,218,216,213,212,211,209,223,224,225,228,229,226,245,255,254,227,208,205,203,217,184,141,131,107,167,227,219,218,220,218,215,214,212,209,222,224,226,224,238,219,215,255,255,225,209,210,189,200,160,126,107,144,227,220,221,219,218,217,217,216,216,209,220,223,228,221,250,255,197,228,253,217,211,199,182,186,137,106,93,200,226,218,219,219,216,217,216,211,194,182,225,227,231,224,255,255,255,152,255,250,234,219,194,181,140,106,99,212,227,228,224,213,220,224,199,172,179,171,165,167,164,156,255,255,255,161,164,255,247,229,199,175,152,137,121,138,152,142,148,204,230,215,191,126,204,186,107,108,92,144,255,255,255,187,105,255,234,212,186,165,144,129,124,114,90,112,204,241,215,187,202,113,170,206
3,151,151,153,154,155,155,156,156,155,156,156,155,155,154,153,151,151,150,149,147,145,145,144,142,140,139,138,138,157,157,157,158,160,160,160,159,158,159,158,158,158,156,156,155,154,153,151,150,148,146,144,143,143,141,139,137,161,162,161,162,164,164,164,163,162,164,163,161,161,160,158,163,140,142,156,153,151,149,147,146,145,142,142,140,165,167,167,168,168,168,168,168,167,167,167,166,165,164,162,169,131,106,162,157,155,153,152,150,148,146,144,142,171,171,171,172,172,173,172,172,172,172,171,171,169,168,168,169,135,89,161,161,159,158,157,154,151,150,147,145,175,175,175,176,176,177,176,176,178,176,175,174,173,171,171,171,135,78,159,165,163,160,159,157,154,151,150,148,178,179,180,180,180,180,180,180,180,180,180,178,176,175,175,173,136,77,158,169,166,165,163,161,158,155,153,151,183,182,183,183,184,184,183,183,184,184,184,182,181,180,179,182,145,79,154,174,170,168,166,164,161,159,157,155,186,186,187,187,188,187,187,186,187,187,187,186,184,183,181,185,138,74,157,175,173,172,169,167,164,163,160,158,189,190,190,191,191,191,191,190,190,189,189,188,187,187,185,177,134,84,158,179,175,174,173,170,168,165,163,161,194,194,194,194,194,194,194,194,193,192,192,192,190,189,187,178,138,88,147,184,178,176,175,174,171,168,166,164,195,196,196,196,196,196,195,196,196,196,196,195,193,192,191,191,140,74,136,189,181,179,177,175,173,171,169,166,198,198,199,199,198,198,197,198,198,198,197,198,198,192,174,160,162,116,127,195,185,181,180,178,176,173,171,169,200,200,201,201,201,201,201,201,200,200,200,186,173,187,153,88,142,151,90,146,181,186,181,180,178,175,173,171,201,202,202,202,203,203,203,203,204,201,193,163,108,146,159,102,100,141,83,72,98,176,186,183,181,178,175,173,203,203,201,203,204,204,205,205,206,197,184,162,132,114,167,124,77,126,108,85,72,140,191,185,183,181,178,175,204,204,204,206,206,206,207,207,202,188,142,135,148,113,141,130,70,76,108,93,60,123,194,187,184,182,181,177,206,207,207,207,207,207,208,209,196,182,145,93,126,95,103,134,72,68,106,129,77,102,196,188,186,184,181,179,208,208,209,209,208,209,209,209,199,179,139,86,97,62,93,106,55,79,101,156,104,82,192,189,188,186,182,181,208,209,210,210,210,210,210,210,203,176,160,126,81,68,105,89,62,124,158,154,109,82,194,193,189,187,185,182,210,210,210,211,211,211,212,213,207,178,173,142,98,95,120,110,132,187,165,130,72,138,200,195,191,189,186,185,211,211,212,212,213,214,214,215,211,175,172,151,116,100,127,183,193,180,138,97,76,194,198,195,193,190,187,186,210,212,213,214,215,214,215,216,216,177,157,144,119,105,119,179,172,153,111,69,119,207,198,196,194,192,188,186,210,211,211,212,214,214,214,215,217,193,149,146,128,117,115,163,158,130,85,63,177,204,200,197,195,192,190,187,209,212,211,212,214,215,215,215,215,211,158,145,141,123,102,131,126,95,57,138,206,200,198,195,194,191,192,191,210,212,213,214,215,215,215,215,216,212,179,159,142,112,91,98,90,53,116,208,202,200,198,197,198,192,167,124,212,213,214,214,214,215,216,216,218,200,182,172,144,117,102,94,81,69,196,207,205,204,200,185,139,96,61,44,211,212,214,214,214,216,216,216,217,187,172,177,154,140,118,96,63,116,213,203,177,142,110,79,53,47,40,37
11,139,141,145,148,151,152,155,157,158,159,159,160,159,160,160,160,160,159,158,157,157,155,152,152,151,149,146,145,141,144,147,150,152,154,157,158,160,161,161,161,160,161,161,161,160,160,159,158,158,156,154,153,152,150,149,147,143,147,150,153,155,157,159,161,163,163,164,163,163,157,146,162,161,161,160,159,158,157,156,155,153,152,151,149,147,150,152,155,158,161,163,164,165,165,166,165,169,168,113,160,164,163,163,162,160,160,159,156,155,154,154,132,149,153,155,158,161,164,166,166,167,168,168,167,176,177,103,155,167,166,165,165,164,162,160,159,157,157,151,91,151,155,158,161,164,166,167,168,170,171,171,169,186,176,94,155,170,168,167,166,166,165,163,161,160,160,138,62,153,157,159,164,166,168,170,171,173,174,173,173,203,173,97,164,172,171,170,169,167,167,166,165,164,164,127,51,157,160,163,166,168,171,173,176,174,164,179,165,193,161,104,170,174,173,173,172,170,170,168,168,166,166,137,70,159,163,166,169,171,173,176,198,180,127,156,140,112,136,105,156,177,175,175,175,174,173,171,171,169,167,155,87,161,164,168,171,174,175,198,213,197,154,107,117,90,110,98,134,181,178,177,177,176,175,174,173,172,170,165,109,163,166,170,173,175,191,221,182,182,172,110,94,90,117,102,139,184,181,180,180,179,178,177,175,174,172,171,147,165,169,172,175,182,217,202,147,144,166,102,87,85,116,102,145,186,184,183,182,181,180,179,177,176,175,173,167,167,170,174,175,201,223,174,136,146,145,79,89,83,108,96,156,187,186,186,186,183,182,181,179,178,177,176,173,168,172,176,177,212,216,160,113,115,118,78,87,83,104,93,172,189,187,187,186,185,183,182,180,180,179,178,176,170,174,177,178,218,218,170,121,82,80,95,77,92,104,96,181,191,189,188,188,187,185,183,182,182,181,180,178,172,176,179,182,227,217,165,113,78,66,99,75,113,106,75,150,194,192,191,189,184,179,175,173,177,183,182,180,173,177,181,187,235,216,165,121,85,66,75,67,108,97,65,91,168,185,176,161,149,140,134,123,118,150,183,181,174,178,181,192,236,214,168,129,95,75,78,87,105,106,99,99,110,126,133,142,144,130,113,105,95,115,183,183,176,180,183,194,234,211,170,134,102,82,87,123,146,147,137,125,112,115,127,129,117,105,120,154,166,172,185,184,177,182,185,195,233,213,178,142,111,90,103,144,148,137,130,122,107,98,100,109,136,161,185,193,192,190,187,185,179,184,186,200,233,216,183,144,121,100,114,140,141,130,115,107,90,90,131,179,195,196,195,193,193,192,188,186,181,186,185,212,235,215,180,141,120,104,112,125,129,120,99,90,112,164,196,201,199,196,196,194,194,193,190,188,182,186,192,229,229,201,165,132,112,104,112,110,114,107,91,135,192,203,201,200,199,198,197,196,195,194,192,190,183,186,220,236,218,189,154,126,109,107,108,98,97,101,150,202,207,204,202,201,200,199,198,197,195,195,194,192,183,194,235,229,204,179,149,129,114,104,97,87,123,180,206,208,206,205,203,202,201,201,199,198,197,196,194,193,182,207,236,221,180,151,139,126,107,95,82,113,191,210,208,208,207,206,205,204,203,202,200,200,199,196,195,193,185,219,235,211,160,129,121,113,96,84,95,179,211,210,210,209,208,207,206,204,204,203,201,201,200,197,195,194,194,230,232,199,140,121,114,104,87,80,150,209,212,213,212,210,209,208,207,205,204,204,203,202,201,199,197,196
12,168,170,172,175,176,177,179,181,183,184,185,185,186,187,187,189,188,188,189,188,189,191,190,189,190,191,191,190,169,171,173,176,177,179,181,183,184,186,187,188,189,188,190,190,190,190,191,190,190,192,190,190,191,193,193,193,171,173,176,177,180,182,183,184,186,188,188,189,190,190,190,191,192,192,192,191,192,193,191,192,194,194,193,194,172,175,176,178,181,183,185,186,188,189,190,189,194,196,195,193,194,195,197,198,193,194,195,195,196,196,195,195,173,176,178,180,182,183,186,188,190,191,191,192,189,175,182,196,196,185,164,176,198,194,197,196,196,196,197,197,175,177,180,182,183,185,188,190,191,192,191,205,195,169,141,182,210,190,160,116,193,200,196,203,198,198,198,198,176,178,181,183,185,187,189,191,192,193,192,224,216,193,158,136,214,190,168,131,144,159,154,162,203,199,199,199,177,180,182,184,187,189,190,192,194,194,197,223,226,201,169,130,210,200,170,147,92,142,152,112,164,208,200,201,179,181,183,186,188,189,191,194,196,195,204,214,228,216,184,143,200,210,168,134,92,164,161,110,115,210,200,203,181,183,185,187,189,190,193,195,196,194,204,173,156,208,191,138,180,199,154,118,95,171,163,108,106,206,203,203,182,184,186,188,190,193,194,196,194,212,208,154,115,151,178,124,166,179,149,125,94,161,159,116,104,205,205,205,183,185,187,189,191,194,196,195,211,216,202,160,137,116,162,118,154,178,144,118,95,165,155,118,108,208,205,206,184,186,189,190,192,194,196,203,211,190,205,177,148,105,128,120,139,175,148,112,105,181,170,122,113,214,207,207,185,187,189,191,193,195,195,209,196,161,197,175,143,107,102,143,135,190,172,121,129,223,195,125,144,218,206,208,185,188,189,193,195,196,199,211,202,167,170,173,146,106,89,146,124,170,165,113,109,194,161,95,132,218,207,208,186,188,190,193,196,196,202,207,191,157,156,181,135,110,67,92,77,85,156,122,140,166,124,116,99,166,217,206,187,189,191,194,197,198,204,215,193,164,148,175,125,110,74,66,66,137,198,196,190,180,155,132,107,126,218,207,187,190,192,195,198,198,208,214,191,163,132,161,125,117,73,78,124,197,201,195,180,169,145,123,102,143,219,208,188,190,192,195,198,196,208,213,193,175,143,132,136,129,82,106,186,208,210,199,173,159,139,118,98,173,221,210,189,191,193,195,199,197,209,213,197,183,170,142,126,119,125,161,216,210,218,194,164,152,133,114,102,195,218,212,190,192,194,196,199,200,209,214,204,187,177,173,150,139,161,173,216,216,217,185,155,144,125,105,127,214,214,213,191,192,194,197,199,200,207,213,206,193,183,180,172,150,154,165,218,218,200,176,150,135,121,98,168,222,213,214,191,193,196,198,199,200,204,207,202,197,187,180,172,156,145,172,219,212,185,166,145,127,115,102,199,217,213,214,191,194,198,200,200,202,203,202,201,198,186,181,171,157,142,173,204,200,170,153,136,120,104,122,219,213,214,215,191,194,197,199,201,202,205,204,204,203,188,181,173,158,139,170,191,179,157,141,127,117,97,166,225,214,216,216,192,194,196,198,199,201,203,204,207,199,184,176,167,150,134,168,176,155,144,128,119,108,117,211,216,216,217,216,192,194,195,198,200,201,202,202,208,192,172,166,150,134,138,163,165,144,138,121,115,103,172,219,213,214,216,216,192,194,195,198,200,202,201,200,212,189,175,165,140,136,144,163,159,142,131,119,106,135,217,212,213,215,217,216
7,179,181,184,186,188,188,190,191,191,192,191,191,191,191,190,189,190,187,188,187,184,183,184,182,179,180,179,177,181,183,185,188,190,192,193,192,192,192,191,192,191,190,191,191,190,188,189,188,187,185,184,183,182,181,180,178,181,183,187,190,191,193,194,194,195,196,193,194,193,192,192,193,192,190,190,188,188,188,186,184,184,183,182,180,184,185,188,190,192,194,195,196,196,196,196,196,196,195,195,194,192,192,192,191,190,189,188,186,186,184,183,182,185,188,190,192,194,194,195,197,196,196,196,196,196,195,195,196,195,194,193,191,190,190,190,187,186,185,185,183,185,190,192,193,194,195,196,197,197,197,197,197,197,196,195,195,197,197,195,195,195,191,188,190,188,188,187,183,188,190,192,196,196,196,197,199,198,199,199,199,199,200,200,199,197,193,188,184,163,174,190,175,191,189,187,186,190,190,192,196,197,199,200,203,204,205,202,195,191,183,175,173,174,163,156,157,134,176,198,146,185,188,191,188,190,192,195,195,197,201,198,189,180,182,180,171,157,141,132,149,168,163,148,139,128,134,151,129,183,188,173,191,191,194,195,198,201,192,180,158,150,148,146,154,149,143,127,123,129,114,119,126,123,121,135,147,201,200,125,187,193,196,196,197,196,185,168,156,155,147,135,137,146,142,118,113,107,135,157,175,153,150,147,148,151,144,133,194,192,195,193,186,175,171,170,167,152,114,109,133,156,152,137,133,121,139,155,159,140,125,109,103,112,147,188,195,191,187,181,175,172,171,164,166,150,98,102,117,125,122,119,124,111,107,119,103,99,103,135,169,191,201,195,194,185,180,178,177,177,164,154,154,153,130,92,75,65,64,67,80,81,91,113,141,170,192,206,204,199,195,196,195,182,180,176,171,164,158,157,155,160,151,107,70,46,77,133,139,160,179,204,212,208,203,199,198,197,197,197,196,180,174,166,161,156,152,150,150,147,129,105,77,65,79,192,224,213,212,207,202,203,203,202,201,200,199,197,196,175,166,159,151,146,141,136,132,130,120,93,67,70,68,63,188,214,206,207,204,204,203,204,202,201,200,200,198,164,166,151,148,136,135,132,127,126,122,95,62,64,87,58,100,222,207,209,207,207,205,204,203,202,201,201,200,67,134,154,147,140,134,132,133,135,134,98,60,56,78,73,98,219,210,210,209,208,207,206,204,202,201,202,199,34,42,124,155,146,139,130,123,121,110,87,69,63,53,45,130,225,210,212,209,208,208,208,205,203,203,202,201,38,29,40,130,152,141,132,118,105,93,80,77,73,56,50,74,210,215,212,210,210,209,207,206,204,204,203,202,32,33,22,53,134,126,116,106,99,85,78,76,76,64,50,80,212,215,213,212,211,210,209,207,206,205,203,202,29,25,27,23,69,104,91,77,75,50,52,73,66,79,147,185,220,212,211,212,211,210,210,208,208,206,204,203,23,22,24,26,14,26,73,123,46,38,49,60,75,186,233,219,216,216,214,212,213,210,210,209,208,206,204,204,14,17,22,31,2,24,186,192,37,46,59,108,195,225,215,217,216,217,216,212,214,212,210,209,209,208,206,204,16,13,31,19,40,194,228,216,156,148,186,222,224,217,219,218,216,216,216,213,211,212,211,210,210,208,208,204,45,29,17,48,204,221,213,218,226,227,224,216,216,217,217,217,217,216,215,212,212,211,211,210,209,208,205,203,29,25,4,125,230,210,217,217,216,216,216,217,217,217,217,217,217,217,216,212,212,211,210,210,208,208,206,203
12,180,181,183,184,185,186,186,187,190,191,189,193,195,193,192,193,195,195,195,196,194,195,195,195,195,194,195,196,181,183,184,185,186,186,186,188,190,187,191,185,181,194,196,189,179,186,196,195,195,197,197,196,195,196,196,196,183,183,184,185,186,187,187,190,188,207,210,177,147,151,208,187,163,141,190,201,199,198,198,197,196,195,196,196,183,184,184,185,187,188,191,186,206,238,216,171,158,130,201,181,166,142,146,167,176,197,197,196,197,197,198,197,182,184,185,186,187,188,190,187,223,209,209,184,187,134,178,195,177,144,123,153,137,147,200,198,199,200,199,199,184,185,186,187,187,190,189,194,232,187,195,198,179,137,167,205,183,138,133,164,149,111,180,206,199,200,200,199,185,186,187,189,191,191,189,202,237,186,198,178,152,119,109,174,153,124,144,177,158,123,176,206,199,200,200,199,185,187,189,190,189,193,184,178,211,150,189,183,161,126,91,118,112,98,190,191,155,123,190,203,200,202,201,199,186,187,190,188,194,212,188,161,147,135,162,187,180,179,162,155,140,105,164,167,133,122,202,201,202,202,201,200,187,189,191,185,221,227,196,175,138,137,158,165,163,180,184,183,183,144,103,111,112,141,210,202,202,202,201,200,188,192,186,206,227,221,209,182,150,138,167,154,132,152,157,185,204,177,136,95,100,167,212,202,202,201,200,200,189,192,186,231,208,208,214,189,157,134,134,144,128,130,139,197,206,197,176,120,99,188,208,204,203,202,201,200,189,186,204,226,182,171,204,192,168,144,125,135,127,141,160,195,202,203,195,154,114,199,206,205,203,203,202,201,189,186,219,215,196,176,170,198,172,144,126,136,126,138,147,185,208,198,200,179,131,200,207,205,203,203,203,202,189,187,227,221,204,178,144,185,180,144,127,125,127,140,161,175,188,203,186,191,141,180,212,202,205,204,204,205,188,189,222,196,170,152,129,144,191,158,149,118,138,141,180,203,191,191,180,173,155,145,213,204,206,205,206,206,188,191,230,208,188,168,152,135,170,179,179,137,145,161,203,208,204,189,172,160,153,133,211,206,206,206,206,205,191,191,235,216,192,173,163,145,141,166,160,149,158,197,218,210,204,188,172,155,135,146,213,205,207,206,206,206,192,193,236,218,197,182,170,146,143,168,141,153,183,217,218,209,201,187,174,155,124,162,216,206,207,207,206,206,191,196,240,221,202,189,177,153,147,176,157,178,211,227,217,207,196,185,173,154,118,173,215,206,207,207,206,206,190,200,245,221,202,194,183,167,150,169,173,191,226,228,217,204,191,184,171,149,116,189,212,207,207,207,206,206,188,202,247,222,208,197,184,180,161,165,183,192,233,224,212,201,190,183,165,142,123,202,211,208,208,207,207,207,189,200,242,226,216,200,190,184,174,162,189,191,234,219,205,200,190,181,162,134,132,209,207,208,209,209,207,207,194,195,232,231,222,207,195,190,183,165,187,192,229,217,197,193,188,176,160,127,151,216,206,209,209,208,207,207,194,191,223,235,221,211,200,196,186,169,177,189,222,214,195,191,186,168,156,118,177,214,206,209,210,208,208,207,194,190,216,239,223,215,205,197,186,174,173,178,212,211,192,187,181,168,149,122,199,211,208,208,210,209,208,208,194,190,207,243,227,214,204,193,180,175,176,174,198,203,183,179,178,171,134,140,215,206,209,210,210,209,208,208,194,189,210,247,223,207,200,190,179,171,175,175,189,194,179,175,178,165,122,172,217,207,209,210,209,209,210,208
4,195,196,197,198,200,201,202,203,204,205,206,207,207,206,207,205,205,205,205,204,204,202,202,202,204,203,202,200,194,195,197,199,200,201,202,203,205,205,206,206,207,206,206,205,206,206,206,205,204,204,204,204,204,203,202,201,196,197,198,200,201,203,204,203,205,205,207,207,208,207,205,210,205,207,208,207,206,206,205,205,203,204,203,203,197,198,199,201,201,203,204,205,206,207,209,207,219,209,193,190,216,206,192,203,209,206,206,205,204,204,204,203,197,199,200,201,203,204,205,206,208,211,199,216,242,205,195,167,228,201,180,164,207,208,210,206,205,204,204,203,198,201,201,201,204,207,206,204,240,237,210,185,240,215,186,186,238,205,184,138,199,189,188,210,205,205,206,205,197,201,202,201,204,207,203,218,255,251,225,163,216,228,174,201,244,204,166,177,212,172,141,186,211,205,207,206,199,202,204,204,205,207,203,237,243,246,210,160,212,228,183,198,224,210,222,210,165,162,134,146,212,208,208,207,201,202,204,207,207,205,211,246,220,240,198,147,197,217,222,216,227,250,251,213,160,135,131,137,212,209,208,208,201,203,205,206,209,204,222,245,211,226,205,136,178,205,211,227,236,239,225,219,186,139,119,144,215,208,209,208,202,204,206,207,208,206,242,240,208,207,217,135,161,201,154,185,213,218,210,225,195,156,116,154,217,208,209,209,203,204,206,208,204,223,250,217,198,187,170,124,161,207,130,169,204,179,216,232,205,170,124,171,217,208,210,210,203,204,207,209,203,240,241,206,182,183,164,144,162,186,134,174,218,137,218,246,218,183,133,193,217,210,211,210,203,206,208,208,208,253,239,203,178,168,157,152,156,155,151,155,183,149,209,255,229,193,139,171,220,211,212,210,205,206,210,206,215,255,236,204,177,161,147,152,161,159,187,187,204,227,220,237,225,187,155,139,215,214,213,212,206,209,211,204,225,255,235,203,172,165,154,156,155,165,203,214,236,231,233,210,202,192,168,137,206,216,213,212,206,208,211,204,235,255,236,196,175,181,165,152,147,184,226,235,235,226,221,197,172,187,160,147,213,214,213,213,205,207,210,203,243,255,233,199,198,198,170,162,197,238,247,235,234,225,204,183,162,163,141,172,220,213,213,213,204,206,209,204,248,255,235,219,222,203,174,212,244,252,253,235,228,213,192,175,157,146,139,203,216,214,214,213,204,207,210,207,252,255,246,232,225,213,182,231,249,252,255,229,210,200,184,171,153,131,169,221,214,215,213,213,205,208,210,208,253,255,252,235,219,216,190,236,254,253,245,220,196,187,178,165,143,138,209,218,215,215,214,214,205,207,212,206,245,255,252,238,219,212,205,238,252,240,227,208,186,179,171,154,132,173,222,214,216,216,215,214,206,208,212,205,235,255,243,235,224,212,210,227,237,225,209,192,183,181,164,140,141,213,218,218,216,216,215,214,206,208,212,206,238,251,232,230,230,218,212,220,228,216,202,184,178,175,156,131,185,224,216,216,216,215,214,213,206,208,212,205,236,244,225,230,231,213,200,216,228,215,195,174,168,167,143,161,221,219,218,217,215,215,215,214,205,207,211,206,229,245,228,229,222,213,196,210,231,211,180,159,161,153,145,207,218,216,217,216,214,213,214,213,163,163,168,156,204,255,236,235,221,215,198,201,227,198,168,156,154,143,143,158,156,155,156,155,154,157,156,152,138,137,141,127,185,255,246,240,227,220,203,192,223,198,167,153,146,138,133,132,129,130,130,129,130,128,133,189
5,186,187,190,194,193,193,194,195,195,195,198,196,197,197,197,196,201,189,196,195,194,193,191,191,190,188,187,186,188,191,193,195,195,195,197,192,212,202,164,203,198,198,199,196,226,154,188,200,197,195,193,193,192,190,189,188,190,192,195,197,197,199,200,196,209,232,144,198,202,200,198,205,237,140,184,204,198,198,196,194,194,193,192,192,192,194,196,199,198,198,202,200,204,244,153,188,207,203,196,229,215,136,200,202,200,200,199,197,196,195,195,192,194,197,198,199,203,222,170,199,206,254,176,180,211,203,205,243,179,147,211,201,203,202,200,200,200,198,196,194,196,199,200,202,198,238,167,178,210,255,202,173,213,199,228,238,156,173,212,204,206,203,201,202,201,200,198,198,199,200,201,205,197,237,199,157,217,252,196,166,212,208,234,204,138,197,210,207,207,205,204,203,202,200,199,199,200,202,204,207,200,232,235,161,211,242,184,154,213,216,216,150,152,216,208,209,208,207,206,205,204,202,201,201,201,203,206,208,203,218,255,181,196,242,205,158,208,208,199,128,189,216,210,210,209,208,207,207,206,205,203,203,203,204,206,209,208,213,255,211,167,241,204,168,178,188,187,142,208,214,211,212,212,209,209,208,207,207,206,205,204,206,207,209,211,210,251,253,183,211,198,181,138,164,166,155,215,214,214,214,213,212,211,211,209,207,206,205,206,207,209,211,213,210,232,255,247,193,170,182,132,139,142,175,221,216,216,211,211,210,210,208,208,209,209,208,207,209,211,212,213,214,215,252,255,237,162,156,140,133,124,188,221,211,218,225,230,232,232,224,211,210,198,199,209,211,213,214,215,217,213,232,255,255,212,146,132,132,125,150,194,207,202,183,194,209,194,197,211,197,149,180,210,212,213,215,216,218,219,217,252,255,224,161,133,131,127,136,156,179,156,125,148,161,160,176,184,183,149,204,212,214,215,216,218,220,221,217,240,255,222,162,135,127,125,136,132,125,135,188,221,217,221,218,217,192,162,214,213,214,216,218,220,221,223,219,239,255,223,167,138,124,128,127,125,181,218,227,220,223,214,214,201,159,204,217,213,216,218,219,220,223,224,220,246,255,224,173,142,128,123,104,200,239,223,222,225,214,200,217,160,180,225,213,214,218,220,221,221,222,223,221,251,255,218,171,141,126,118,117,169,199,223,224,207,200,205,196,136,199,222,217,215,218,221,222,222,222,223,226,255,255,210,171,137,118,116,128,124,140,162,175,182,200,200,156,164,222,222,212,216,219,220,221,222,224,222,232,255,249,208,165,132,114,116,120,131,153,154,164,188,181,157,182,224,227,184,137,214,218,220,221,222,225,221,239,255,244,200,158,136,117,121,127,149,168,162,159,167,146,192,228,224,210,130,129,217,219,221,222,223,225,223,247,255,233,187,164,146,119,128,148,163,167,166,143,137,203,230,219,230,190,125,128,218,220,222,224,225,226,226,255,255,221,184,175,152,121,130,155,165,165,154,146,212,232,222,233,196,123,114,102,218,220,223,226,228,225,233,255,255,219,192,177,151,122,128,154,155,155,136,209,237,226,232,221,142,112,109,93,219,221,223,225,226,223,245,255,251,227,201,171,142,115,120,142,144,128,184,237,227,235,192,137,118,108,94,83,222,224,226,228,231,230,255,255,248,228,184,135,110,92,98,109,124,178,236,233,235,179,127,120,112,105,95,80,204,208,212,214,193,211,255,254,231,200,139,94,84,74,82,67,144,246,231,233,173,116,117,110,101,99,101,89
12,155,158,160,163,165,166,168,171,173,175,176,176,177,178,178,180,179,179,180,179,180,182,181,181,181,182,182,182,157,159,161,164,167,169,171,173,175,177,178,178,180,179,181,181,181,182,183,181,182,184,182,182,183,185,184,185,159,162,164,166,169,172,173,174,177,179,179,181,182,181,181,182,183,184,184,183,184,185,183,183,186,186,185,186,160,164,165,168,171,173,175,177,179,181,181,180,186,188,187,184,186,187,190,191,185,186,187,187,188,188,187,187,162,165,167,170,172,173,177,179,181,182,182,184,180,164,171,189,188,175,151,165,191,186,189,189,188,188,189,189,164,166,169,171,173,175,179,181,182,184,183,199,188,157,124,172,205,181,147,95,185,193,189,197,191,190,190,190,165,167,171,174,176,178,180,182,184,185,184,221,212,185,144,118,209,182,155,112,127,144,139,149,196,191,192,192,166,170,172,174,177,180,182,184,185,186,190,220,223,195,157,111,205,193,158,131,66,126,137,90,151,203,193,195,169,171,173,177,179,181,183,186,188,187,197,209,226,212,174,126,193,205,156,115,67,151,147,88,93,205,193,196,171,173,175,178,180,182,184,187,188,186,198,161,141,202,182,120,169,192,139,97,70,159,149,85,83,200,197,197,172,174,177,179,181,184,186,188,186,207,203,139,94,136,167,104,153,169,133,105,69,147,146,95,81,199,199,199,173,176,178,180,183,186,189,187,206,212,195,147,119,95,148,97,139,168,127,97,71,152,140,98,85,202,199,200,174,176,180,181,184,186,188,196,206,182,199,166,132,82,109,99,121,164,132,90,82,170,157,102,92,210,201,201,175,178,181,183,185,188,187,203,188,148,189,163,126,84,78,126,117,181,160,100,110,220,187,105,127,214,200,202,175,178,180,184,187,189,191,206,195,154,158,161,129,83,63,130,104,158,152,91,86,185,147,71,114,214,202,202,177,179,181,185,188,188,195,201,182,143,141,171,117,88,37,67,49,58,142,101,123,154,104,95,75,153,213,200,178,180,183,186,190,190,198,210,185,151,132,164,105,88,46,36,37,119,191,189,181,169,141,114,84,107,215,202,178,181,184,187,190,191,202,209,183,150,114,147,106,96,45,50,104,190,194,187,170,156,129,103,78,126,216,203,179,181,184,187,190,188,203,208,185,163,127,113,118,110,55,84,177,202,205,191,161,146,122,97,74,161,217,205,180,183,185,187,191,189,204,208,190,173,158,125,106,98,105,148,211,205,214,185,151,137,115,92,78,187,215,207,181,183,186,189,192,193,204,210,198,178,167,161,134,122,148,162,211,212,212,175,140,128,105,82,108,210,209,208,182,184,186,189,192,193,201,209,200,185,173,170,161,134,139,153,214,214,193,165,135,116,101,74,155,219,208,209,182,185,188,190,192,194,197,201,196,189,178,170,160,141,129,160,215,207,176,153,128,107,93,79,192,213,209,210,182,186,190,193,193,196,197,195,194,191,177,171,159,143,125,161,198,193,158,138,118,99,81,102,215,208,210,211,182,185,189,192,194,195,199,197,197,197,179,171,161,144,121,158,183,168,142,124,108,96,72,154,222,209,212,212,183,186,188,190,192,194,196,198,201,192,175,165,154,135,116,156,165,140,128,109,98,85,95,206,212,212,213,212,183,186,187,191,193,195,196,195,203,184,161,153,135,116,121,150,152,128,120,101,94,79,160,215,208,210,212,212,183,186,187,191,194,195,194,193,207,180,164,152,123,119,127,149,146,126,112,98,83,117,213,207,208,210,212,212
21,187,189,192,193,193,193,193,195,195,195,195,200,197,197,197,197,196,195,195,197,196,195,194,194,192,191,191,190,191,193,196,197,197,197,197,198,199,200,196,176,200,200,200,199,199,199,200,200,200,198,197,196,195,194,193,192,195,196,199,199,201,201,200,201,201,203,210,142,179,210,201,204,203,202,202,202,201,201,200,199,199,198,197,196,198,199,201,201,203,204,204,205,205,206,215,147,159,216,205,207,208,208,204,205,204,203,202,201,201,201,199,198,201,202,205,205,206,206,207,209,208,209,217,148,143,217,209,200,170,199,212,208,208,206,206,205,204,204,202,200,204,205,208,209,211,211,211,212,212,211,223,167,138,215,213,199,147,155,221,210,210,209,208,208,208,207,205,204,207,209,212,213,213,213,214,214,215,211,230,201,139,204,221,196,153,141,219,215,213,213,211,210,210,209,207,205,210,212,213,214,215,215,216,217,218,214,232,208,138,188,226,196,155,136,212,221,216,215,214,213,212,212,211,209,212,214,216,217,217,218,219,219,219,215,235,222,154,175,230,204,179,143,207,223,218,218,218,217,215,214,213,212,215,217,217,219,219,220,221,221,220,220,212,206,182,163,232,200,177,144,204,226,220,220,219,218,218,217,215,214,218,220,219,219,221,221,222,223,222,228,207,166,162,157,228,197,188,142,202,231,222,222,221,220,220,219,218,216,219,220,221,222,223,224,224,226,223,240,231,185,123,134,227,205,205,156,205,232,224,224,224,223,222,220,220,219,219,222,223,224,225,226,226,227,227,240,239,187,151,183,184,173,185,164,170,235,226,226,225,225,224,223,222,220,222,224,225,226,226,228,230,227,222,208,224,191,143,167,156,170,163,166,149,211,233,228,228,226,226,225,224,222,224,226,228,229,229,231,230,232,215,154,180,211,129,93,142,157,132,200,169,173,239,228,230,229,228,226,225,224,226,228,230,231,231,232,231,235,225,177,136,214,164,106,119,107,171,232,201,153,222,234,230,230,230,228,228,225,226,229,229,231,231,231,236,225,221,208,134,198,190,109,129,187,173,219,212,152,172,243,230,231,231,229,229,228,228,230,230,231,233,234,235,241,208,201,146,125,133,96,128,219,211,199,177,143,134,231,234,231,230,229,230,229,229,231,231,233,235,235,234,229,191,189,147,113,103,115,170,223,225,197,151,131,134,229,236,233,232,231,230,230,230,232,232,235,237,237,233,228,222,175,169,149,119,159,219,233,217,192,153,124,155,244,235,235,234,232,231,231,231,233,234,236,237,239,234,239,212,193,180,166,130,191,239,229,219,189,150,114,195,248,235,236,235,234,233,232,232,234,235,236,237,239,237,239,225,205,168,210,196,233,244,236,220,172,138,119,227,243,238,237,236,236,234,233,233,235,236,237,238,239,239,235,235,194,192,209,220,248,253,244,204,157,121,144,247,238,239,239,238,236,235,235,233,236,236,237,239,239,240,224,227,210,206,192,214,238,247,230,183,150,114,181,253,241,240,239,239,237,237,235,234,235,236,237,239,238,241,221,221,216,208,192,208,225,223,199,159,135,119,226,247,242,242,241,239,238,239,240,231,234,236,237,237,238,242,233,211,210,204,202,192,197,202,171,138,113,171,252,242,242,242,241,240,238,237,227,233,235,237,237,238,238,241,243,212,208,203,207,185,184,191,158,125,121,233,245,243,242,242,241,241,240,237,166,234,235,237,238,239,240,240,244,219,202,191,192,178,174,179,152,111,150,250,242,244,244,243,240,245,211,179,142
11,195,198,200,201,202,202,204,205,205,206,206,206,205,208,207,208,207,206,206,206,205,205,205,205,204,202,201,200,196,200,201,201,203,204,206,206,207,207,207,209,211,203,210,210,209,208,208,208,207,206,206,206,206,205,203,202,200,201,202,204,204,206,207,208,209,210,208,216,224,167,210,212,210,209,210,210,210,209,208,208,208,207,205,205,201,202,204,206,207,207,209,211,211,212,207,229,223,151,206,212,211,211,212,212,212,211,211,210,209,208,207,206,202,204,206,207,208,208,210,212,212,212,210,249,207,151,212,213,213,213,212,213,213,212,212,211,210,209,209,207,204,206,207,208,209,210,212,213,215,210,224,255,177,161,219,212,214,214,214,214,214,213,213,213,212,211,211,209,206,207,208,209,211,212,212,214,215,209,245,249,160,188,221,214,215,216,217,215,214,214,215,215,213,212,212,210,207,209,210,212,213,213,213,216,212,222,255,224,152,205,220,218,218,218,218,217,216,217,217,215,214,213,213,212,207,210,211,212,214,215,216,217,216,249,254,188,155,222,219,219,219,219,219,219,218,218,218,216,216,215,213,214,208,210,212,214,215,217,218,214,232,255,242,153,177,227,218,219,220,220,220,220,219,219,219,218,218,217,215,215,211,213,214,215,217,218,219,215,244,255,225,137,207,226,220,220,219,221,221,221,221,220,219,218,218,218,218,216,212,213,215,217,218,219,219,223,255,255,210,186,236,202,219,223,221,222,222,223,224,222,220,220,219,218,218,217,213,215,216,218,220,220,215,238,255,255,253,250,222,159,201,228,222,223,224,224,224,223,222,222,220,219,219,219,213,215,218,218,216,220,230,254,255,255,255,213,163,149,188,229,223,224,225,225,224,224,223,222,223,221,220,219,214,216,219,220,239,251,255,255,255,246,231,198,148,145,173,230,223,225,226,226,226,225,224,223,224,224,221,220,215,218,216,239,255,255,255,255,255,222,159,168,150,152,159,226,227,226,227,227,227,226,225,225,224,224,223,221,216,218,221,254,255,252,255,255,249,204,153,150,152,152,156,221,230,227,228,227,227,227,227,227,225,225,224,224,219,216,234,255,255,255,255,238,209,212,173,149,147,153,157,221,230,228,230,228,227,227,227,227,226,226,225,225,221,217,248,255,255,244,215,180,159,220,193,155,142,143,167,228,229,228,230,229,229,228,228,228,228,226,225,225,219,225,255,255,246,202,164,130,114,222,204,152,151,193,222,233,235,236,235,232,231,234,231,228,228,226,226,226,217,239,255,252,229,191,159,121,169,223,160,129,160,228,234,227,216,195,177,169,169,182,222,233,229,229,228,228,220,252,255,248,213,172,143,118,158,166,113,119,115,128,153,156,157,154,151,157,155,144,151,214,234,229,229,229,232,255,255,234,186,150,129,121,119,122,120,123,128,123,132,151,165,175,170,168,160,150,131,160,237,226,229,228,251,255,251,213,175,147,124,119,120,123,129,134,140,143,159,170,170,169,171,177,195,200,180,194,234,228,227,228,255,255,242,200,168,141,118,120,127,140,149,150,153,157,168,164,183,210,228,235,237,238,239,235,230,231,239,195,255,255,227,188,161,136,118,135,149,159,165,165,161,152,165,204,238,239,237,235,234,234,232,233,238,229,190,143,255,247,212,179,155,136,126,153,165,165,164,169,152,186,229,239,235,235,236,236,235,235,234,239,214,159,133,127,255,233,195,169,153,137,131,155,161,162,164,154,184,243,237,236,237,236,236,237,237,236,239,212,150,139,133,124
6,166,168,170,172,173,175,176,175,174,174,175,176,175,174,174,173,174,173,173,172,171,171,171,171,169,168,167,166,167,169,171,172,174,176,176,176,178,177,178,177,177,176,176,175,175,175,173,173,172,172,172,172,172,171,167,166,167,169,172,173,175,178,178,178,180,179,178,178,178,178,176,176,176,175,174,174,173,174,173,172,172,171,168,167,166,169,172,174,176,178,178,179,179,178,179,179,178,178,178,178,176,176,175,175,174,174,174,173,172,172,171,169,168,170,172,174,177,177,178,180,179,179,180,180,178,177,175,175,175,175,177,176,176,177,176,175,174,172,171,170,168,171,172,175,178,178,179,180,180,179,177,173,167,158,140,141,148,153,152,153,154,151,162,165,171,173,172,171,169,172,174,175,178,177,176,180,180,182,179,174,170,158,139,140,152,158,148,148,135,128,169,157,137,175,172,172,169,172,174,179,181,173,176,186,188,189,183,175,167,153,139,136,146,154,151,147,144,133,159,146,122,175,173,172,171,174,175,200,189,173,173,176,173,165,157,152,143,139,124,102,98,115,121,124,129,126,129,131,158,176,174,173,172,174,177,209,188,170,163,157,162,167,167,160,147,144,145,118,99,159,160,162,163,167,168,173,178,176,174,173,173,174,180,193,166,160,164,169,177,182,176,165,157,152,149,126,94,179,185,183,183,182,181,180,179,177,175,173,173,173,197,189,160,156,162,169,178,182,180,172,161,150,134,108,84,151,186,182,181,181,180,180,180,178,176,175,174,175,199,174,160,156,159,162,167,170,171,164,150,142,128,88,83,119,186,182,182,182,181,180,180,180,178,176,174,177,187,162,171,168,167,167,172,179,179,163,143,143,142,89,79,107,183,184,183,183,182,181,181,179,178,177,174,175,185,185,184,174,176,177,184,187,174,158,147,147,134,96,83,103,179,185,186,185,182,181,180,179,178,177,175,174,188,211,192,172,173,174,176,174,168,158,151,136,112,94,92,109,183,186,186,185,183,181,180,180,179,178,172,173,192,208,189,171,167,157,146,144,145,142,135,122,89,85,99,158,188,185,184,184,184,181,179,179,177,177,173,172,191,195,188,175,159,143,139,152,161,155,153,154,101,72,107,181,186,184,182,182,183,181,180,178,176,174,175,173,191,187,198,180,159,160,176,183,167,151,144,148,108,83,130,187,185,184,183,182,181,181,180,178,177,174,175,173,191,185,193,178,162,164,172,173,158,146,137,124,101,94,148,190,185,184,183,182,181,181,180,179,178,176,173,168,187,188,183,171,164,163,166,160,150,134,118,102,91,100,166,187,185,185,185,184,182,181,180,179,179,177,175,168,179,187,186,170,162,155,149,132,118,101,91,101,134,161,185,183,185,185,184,184,184,183,182,181,179,173,162,157,175,184,173,159,147,137,121,101,91,75,93,151,176,177,175,174,175,175,173,174,175,174,174,173,170,205,98,103,167,175,153,143,136,127,101,89,93,92,98,102,103,101,101,101,101,101,99,99,100,100,100,99,191,248,95,99,163,165,143,144,137,117,95,92,98,103,92,89,88,87,87,87,88,86,85,84,84,82,79,176,251,245,95,105,166,157,141,152,135,107,93,91,103,99,93,92,92,92,90,94,100,96,96,98,95,83,177,253,248,243,93,115,171,155,145,151,132,106,91,92,109,97,93,93,92,91,90,92,94,92,92,94,84,160,252,250,244,237,93,127,173,152,141,142,120,98,90,97,108,95,94,93,92,91,90,91,91,91,93,86,131,247,249,250,236,232
24,136,138,140,142,143,147,148,148,149,151,148,149,148,149,147,146,147,147,146,145,145,144,142,140,140,140,139,138,136,139,142,144,145,147,150,151,149,152,150,151,150,150,149,150,149,148,148,147,146,146,145,144,142,139,138,137,138,139,143,143,151,150,150,152,152,152,153,152,152,152,152,152,151,148,148,148,148,147,145,146,144,140,139,139,140,142,143,149,126,146,152,153,154,154,155,153,153,153,153,153,152,150,149,149,148,148,146,146,145,143,141,141,142,144,147,165,78,132,159,154,154,155,156,155,155,154,153,153,153,153,151,152,149,149,148,147,146,144,143,144,143,144,154,152,67,135,158,155,156,156,158,160,156,154,156,155,155,153,152,153,151,149,148,147,146,144,144,145,144,143,157,147,67,133,160,156,158,157,153,147,161,157,156,157,156,154,153,154,154,156,153,148,148,147,145,145,146,145,159,153,71,135,165,158,161,164,160,105,111,160,159,157,158,156,155,142,127,110,141,153,149,147,147,146,146,147,159,150,74,119,159,155,122,155,171,141,71,82,161,160,157,157,132,91,74,55,107,159,150,149,148,148,147,147,158,146,145,142,142,175,100,112,178,147,74,42,107,169,159,150,95,56,67,115,146,156,153,151,150,149,149,149,157,169,188,163,166,181,123,94,174,139,63,35,58,153,168,132,69,60,150,163,158,155,153,152,153,151,149,152,158,159,195,166,173,183,125,60,127,95,55,22,56,143,150,96,55,126,167,155,156,156,154,154,153,152,151,154,156,166,199,167,184,192,121,56,8,84,125,108,134,145,105,61,84,168,159,159,158,158,156,156,154,153,151,155,155,193,190,147,152,170,95,41,59,171,169,153,137,129,85,54,145,168,162,162,161,160,157,156,154,154,152,154,161,178,160,131,88,90,65,121,194,183,160,139,117,101,74,89,172,163,163,163,162,161,160,157,156,155,155,153,173,176,158,135,105,57,149,211,192,181,156,123,97,82,64,137,175,164,164,164,164,161,161,160,158,156,156,152,183,194,166,135,123,152,215,198,190,175,140,106,83,74,71,164,170,166,165,164,164,164,162,161,160,157,156,154,192,198,173,157,171,210,208,198,185,159,122,86,82,56,108,179,168,168,168,168,165,165,163,161,160,159,156,153,197,200,181,181,204,212,200,191,169,136,98,79,70,69,165,175,170,169,169,168,166,164,164,163,162,160,156,154,196,205,187,196,214,199,176,163,143,110,86,76,62,145,180,172,171,171,169,168,167,166,165,164,163,161,158,155,194,213,191,182,190,181,159,139,121,89,78,57,136,183,173,172,172,172,170,170,169,167,166,164,163,163,159,156,184,204,181,178,189,186,164,141,116,84,49,83,181,175,177,175,173,172,170,171,171,169,167,166,165,163,158,160,171,178,164,181,188,182,163,135,109,70,30,129,183,176,177,177,176,173,171,170,171,170,169,169,168,164,157,162,164,173,181,189,180,172,163,131,101,55,44,160,182,177,178,178,178,175,172,172,171,171,170,168,167,165,156,160,160,185,195,177,175,168,153,126,99,52,56,172,177,176,177,177,175,173,172,172,172,171,170,168,167,166,155,159,158,190,191,165,180,156,143,125,95,60,48,166,178,176,176,177,173,172,172,173,171,169,168,168,166,164,156,160,158,197,193,164,182,151,147,125,90,61,42,153,182,177,177,177,174,172,171,172,171,169,168,168,165,164,155,160,160,198,196,170,182,160,143,122,89,63,38,143,184,177,179,176,176,174,172,172,171,171,170,168,167,165
4,122,125,127,130,133,136,140,143,144,145,149,149,150,153,155,155,155,156,156,158,159,159,159,158,159,159,158,157,123,127,129,131,134,138,142,144,145,147,149,151,154,154,155,158,160,157,159,160,159,161,160,160,161,161,159,159,125,129,129,132,136,139,142,144,148,149,151,157,152,162,150,120,142,165,156,159,164,161,162,162,162,162,161,161,126,129,131,134,137,140,144,146,147,152,144,139,157,184,163,121,100,149,141,109,147,168,162,164,164,163,162,162,128,130,132,135,139,142,145,145,158,181,151,133,134,182,166,147,117,104,144,103,90,161,166,165,166,165,165,165,129,131,132,135,140,143,148,141,176,206,177,161,117,151,180,148,130,85,133,123,87,128,174,164,166,167,165,166,130,132,132,136,141,144,146,144,168,190,201,177,138,117,185,157,129,80,128,128,91,120,176,166,168,168,168,167,130,132,135,138,143,142,157,164,153,151,165,186,140,90,146,163,115,76,121,127,84,118,176,167,168,168,168,168,131,133,136,139,144,139,181,197,181,168,136,119,116,79,97,128,92,76,105,111,78,128,176,167,169,169,168,168,131,133,136,140,145,140,186,183,180,174,133,81,83,80,69,101,78,54,78,76,69,146,175,169,172,170,169,170,132,133,136,140,145,144,179,130,126,142,107,76,69,92,57,89,94,109,132,85,62,162,173,169,171,171,171,171,133,135,136,141,145,147,173,115,71,109,114,80,67,85,86,105,146,176,159,108,75,133,178,173,170,173,172,171,134,136,137,141,147,147,172,133,107,93,121,93,92,128,136,146,166,173,137,104,96,84,118,167,177,172,173,173,135,136,138,142,147,146,172,148,126,96,90,76,94,151,128,141,148,137,110,99,102,100,87,93,146,178,173,174,135,138,140,143,148,146,169,160,118,89,77,68,62,105,105,108,105,99,89,96,101,101,101,90,82,166,177,173,136,138,141,145,150,146,168,168,128,109,94,82,67,58,79,94,99,91,79,85,99,108,101,97,86,151,180,173,137,138,140,145,149,147,165,179,151,115,98,86,77,71,90,129,134,130,124,106,103,120,103,94,98,165,179,174,136,139,141,145,150,150,163,179,151,124,118,98,86,79,110,157,169,169,163,141,122,114,103,93,125,179,176,176,136,139,141,146,150,151,161,181,154,145,132,104,91,86,118,173,178,173,159,136,118,101,96,98,161,180,177,178,138,138,142,147,150,151,158,177,157,153,133,99,94,92,117,174,168,160,150,131,111,100,93,116,181,178,179,178,139,139,143,147,149,154,156,173,158,146,125,96,99,98,119,163,153,148,142,124,104,100,96,145,185,178,179,179,139,138,142,147,151,156,156,170,160,143,120,98,107,105,131,155,146,143,132,113,100,100,106,170,181,178,180,180,137,139,143,148,152,155,157,166,165,142,116,111,125,113,133,145,140,134,114,101,99,98,136,183,179,180,181,180,139,139,143,148,152,155,159,162,163,141,125,129,129,116,114,127,123,115,101,97,97,109,170,182,181,181,181,180,139,140,144,148,152,156,160,161,166,149,133,129,120,108,97,103,102,98,96,102,97,138,186,182,183,182,182,181,138,139,144,148,152,156,160,161,166,163,131,115,108,99,96,97,97,97,99,104,88,146,188,181,183,182,181,182,139,141,146,149,153,157,160,163,164,167,134,102,93,92,94,101,99,98,99,100,80,129,190,181,182,183,183,183,140,142,145,149,153,156,160,164,164,163,146,110,102,104,105,106,103,97,98,96,83,114,188,181,182,184,184,184
2,169,170,172,173,173,173,173,172,172,172,170,170,170,169,169,168,167,166,165,166,166,165,162,163,148,54,44,57,171,172,173,174,174,173,174,174,173,174,172,172,172,170,170,169,169,168,167,166,166,165,162,168,132,43,49,65,172,173,174,176,174,174,175,176,175,174,174,174,171,170,171,169,162,168,169,170,167,166,166,168,146,65,56,63,174,175,176,175,177,177,176,176,176,176,175,173,174,177,178,148,91,110,142,107,166,170,167,164,169,90,61,64,174,176,178,178,178,178,178,178,177,176,178,187,182,165,126,95,66,58,87,58,126,173,167,165,172,104,50,49,175,176,179,179,179,179,180,180,178,184,194,193,141,89,71,61,52,55,60,62,51,137,176,165,174,135,43,28,176,178,180,180,181,181,181,182,179,190,192,152,91,45,50,53,41,45,51,56,40,130,179,169,169,171,59,13,178,180,181,181,182,182,183,182,184,209,153,79,62,44,38,48,51,46,56,73,119,173,171,172,170,174,112,70,179,180,182,181,183,184,185,179,195,204,122,60,57,57,48,52,45,112,164,173,180,173,174,172,171,174,133,119,181,181,182,183,185,186,185,180,210,187,112,66,55,59,48,63,132,180,180,176,173,175,176,174,170,180,88,118,181,182,183,186,186,187,183,191,210,160,92,50,49,49,47,113,196,177,179,178,176,177,176,174,173,178,97,148,183,182,185,186,187,187,183,204,203,148,98,65,62,49,45,122,191,179,180,180,179,177,175,175,175,177,143,129,184,186,187,187,189,187,189,218,195,138,93,73,69,64,44,150,189,181,182,181,179,178,177,176,176,175,174,141,186,188,189,189,189,186,202,220,177,123,83,68,66,66,67,173,187,182,183,181,180,180,179,178,177,176,173,163,186,188,189,190,189,185,216,213,164,113,75,65,64,65,69,177,188,184,183,182,181,181,180,178,177,177,176,167,188,188,189,191,189,189,227,206,156,106,74,66,68,68,76,183,186,185,184,183,182,181,180,179,180,178,175,173,187,189,191,193,186,205,225,191,146,100,72,67,70,61,76,193,186,186,187,185,182,182,184,184,181,181,181,176,188,190,193,192,187,224,217,176,135,91,67,65,61,61,50,138,198,184,185,187,188,183,167,153,140,131,138,174,190,192,193,187,198,227,205,164,121,86,68,57,55,60,63,63,187,197,191,184,158,137,136,133,130,118,72,127,193,193,194,184,213,221,192,150,114,85,66,48,53,59,67,53,106,166,154,133,131,135,143,130,103,104,105,149,192,195,189,191,224,214,184,142,106,82,60,43,60,67,69,73,62,80,113,136,150,140,109,80,116,171,182,181,191,193,181,215,224,207,174,139,101,74,54,49,74,80,89,89,89,96,120,137,120,90,68,129,189,182,179,178,193,180,202,226,217,200,168,132,94,74,52,61,83,90,99,96,95,100,106,91,88,125,163,188,180,180,179,177,182,193,226,215,205,190,162,123,87,73,55,73,88,93,97,95,87,73,72,121,174,192,188,183,181,181,179,178,186,212,214,210,199,181,152,109,82,73,63,86,95,97,89,80,60,79,154,194,191,185,185,186,183,181,180,179,209,205,204,198,181,158,131,93,79,67,69,86,91,92,70,61,135,187,194,187,188,187,186,186,184,182,180,179,204,201,192,173,151,135,103,79,68,66,75,78,83,65,61,151,200,191,187,189,188,187,186,186,183,182,181,181,205,196,176,150,131,121,86,66,64,71,68,67,64,85,169,199,187,189,189,189,189,187,187,186,184,182,182,181
8,140,145,152,156,159,160,166,171,172,174,174,175,177,178,178,178,179,179,180,180,180,179,179,177,177,177,175,176,142,148,157,161,160,178,170,167,177,177,178,179,180,180,181,181,181,181,181,181,182,181,180,178,178,177,175,176,146,154,161,166,163,204,162,138,187,181,184,184,185,185,185,185,186,186,185,184,183,184,182,182,181,180,177,176,150,157,165,170,170,219,158,122,193,188,190,190,191,191,191,190,190,191,190,188,188,188,186,186,185,183,181,179,153,161,169,174,175,234,156,121,200,194,196,197,197,196,196,198,199,194,194,198,193,192,192,191,190,187,185,182,157,165,173,178,181,231,152,127,204,199,202,202,207,204,203,193,192,213,199,168,196,199,197,197,194,191,190,189,162,171,177,182,185,235,166,126,207,205,206,208,177,191,238,184,127,191,228,145,146,207,202,202,200,196,195,193,166,175,180,186,191,239,174,134,204,208,225,247,178,168,229,200,149,165,200,175,127,183,214,206,205,202,200,198,171,179,186,191,195,240,202,165,193,217,248,255,241,216,186,185,200,227,163,119,124,153,220,209,209,208,206,203,174,183,191,197,196,235,208,194,208,233,232,234,249,195,190,195,206,205,173,121,85,130,223,212,213,212,210,207,177,186,194,200,199,232,221,205,229,236,209,175,247,204,183,194,174,164,187,145,79,142,230,215,216,215,213,212,180,188,196,203,203,232,238,201,222,224,221,169,197,224,147,124,119,175,202,159,101,183,230,220,220,217,217,215,184,193,199,206,205,236,250,169,204,204,181,177,175,217,151,87,80,222,220,179,115,170,236,222,224,221,219,218,187,196,202,208,209,235,253,181,149,197,156,158,168,198,184,130,94,202,245,196,133,113,228,229,227,224,222,220,189,198,204,210,212,234,255,211,139,157,176,153,185,205,194,134,208,237,235,204,146,95,194,242,229,228,225,224,193,200,206,212,214,232,255,226,163,134,185,155,217,236,201,197,253,241,205,172,142,103,193,245,232,231,228,226,195,202,209,216,219,233,255,235,189,142,156,167,212,246,243,255,245,217,193,150,126,113,226,240,235,236,241,239,197,206,211,218,221,236,255,248,208,163,151,171,203,252,252,255,239,203,170,143,100,152,255,248,247,229,181,128,198,206,214,220,223,237,255,255,219,186,166,174,193,251,255,248,224,189,157,126,97,215,226,175,137,92,64,60,199,208,215,221,224,235,255,255,230,199,189,173,189,234,255,239,206,172,145,117,99,121,79,60,63,72,71,69,201,210,216,222,226,232,251,255,240,208,210,177,177,214,246,232,196,160,137,108,78,54,59,63,58,74,77,62,202,211,217,223,229,230,240,255,245,218,213,187,168,207,223,224,185,150,129,101,67,55,55,71,53,59,75,74,202,211,217,224,229,233,232,248,241,225,208,186,149,197,202,208,169,137,119,80,65,57,41,62,66,51,60,70,201,210,216,222,228,234,226,242,245,225,205,178,147,166,196,180,156,128,108,47,47,71,45,47,68,60,48,58,203,211,217,222,227,235,227,241,255,234,206,179,151,148,182,169,144,121,92,35,30,61,64,41,54,65,53,51,204,211,218,222,228,234,230,241,249,225,194,178,150,145,160,159,135,105,76,56,20,43,68,55,40,61,62,50,205,212,219,224,227,237,220,242,243,194,196,183,157,143,147,153,133,80,56,70,28,27,57,65,46,47,60,55,198,206,214,221,225,240,170,241,247,205,215,194,164,139,141,147,124,55,38,71,42,18,44,64,57,46,49,59
4,148,149,149,149,150,151,151,149,151,151,150,153,152,152,152,152,152,153,152,151,154,152,149,149,150,149,148,148,150,151,151,151,151,152,152,152,152,153,153,154,152,153,152,152,153,153,152,153,152,152,152,152,151,152,150,149,152,153,153,152,153,153,153,153,154,153,152,152,152,154,157,154,154,156,158,155,153,153,154,153,152,153,152,150,153,154,154,153,154,154,153,154,154,155,155,156,155,141,133,150,153,136,131,155,158,157,153,153,153,154,153,151,153,155,155,154,155,155,155,154,154,154,145,152,184,159,120,112,164,138,99,100,152,143,156,157,155,155,154,153,154,154,155,156,155,155,158,157,155,167,162,136,140,188,146,99,169,161,114,66,127,103,93,156,158,155,154,154,155,154,155,156,158,158,158,156,161,179,178,150,98,168,159,88,163,169,115,101,159,123,60,95,166,154,156,155,156,158,158,158,158,159,160,156,170,159,171,152,96,143,160,71,142,171,101,105,164,122,70,72,165,158,158,157,156,159,159,159,160,159,159,160,181,135,160,156,82,123,166,90,107,150,84,114,172,143,70,86,169,157,160,157,156,158,159,159,161,160,156,171,165,105,119,163,93,101,167,142,130,130,135,160,177,146,83,102,172,159,161,159,158,159,159,160,161,160,161,175,165,136,111,137,93,75,107,141,143,143,158,160,156,130,109,77,160,162,162,160,158,159,159,160,162,160,171,173,155,140,112,90,61,64,80,77,114,122,129,141,130,114,132,65,125,172,160,161,158,159,159,160,161,161,173,161,133,109,102,85,62,70,91,57,88,93,95,108,96,131,138,83,83,173,160,162,159,160,161,161,162,161,177,165,133,99,79,74,68,81,88,85,119,116,92,59,119,170,146,113,61,146,169,161,159,160,161,161,163,162,184,179,148,111,80,61,68,90,80,117,140,133,106,121,137,166,161,141,74,98,176,161,158,160,160,161,162,164,183,182,155,115,78,66,68,91,104,145,131,140,151,168,165,153,167,133,83,70,170,164,158,159,160,160,160,166,185,183,166,116,79,81,72,78,112,132,140,162,168,160,163,148,135,115,88,60,156,167,158,159,160,161,159,166,186,180,171,118,88,102,87,93,123,136,159,165,163,157,150,139,110,94,77,74,163,165,159,159,160,161,160,169,181,179,159,124,119,107,94,135,155,166,172,167,159,147,135,120,96,74,59,137,169,164,159,159,160,161,160,169,182,178,164,143,132,112,93,152,172,171,176,165,150,136,124,105,84,54,110,172,165,166,160,160,160,161,160,162,184,177,174,156,132,131,102,141,174,172,172,156,134,125,114,94,66,77,166,167,167,166,159,160,160,160,162,154,177,179,181,164,143,134,116,139,174,167,160,145,125,113,98,80,57,141,173,166,167,165,163,163,164,164,166,155,167,177,169,154,145,132,122,136,163,157,147,133,113,102,87,58,92,173,166,167,167,166,140,143,148,148,153,146,164,180,160,144,145,137,125,134,146,145,131,116,101,94,76,60,158,177,173,173,173,172,73,75,75,76,81,70,150,180,157,151,152,143,128,133,142,139,127,103,90,86,61,85,142,139,146,147,143,141,70,70,68,69,72,56,142,182,159,158,153,144,129,134,146,144,125,89,79,71,62,68,69,69,62,64,94,107,72,72,73,73,77,60,144,187,161,158,157,152,130,129,145,141,108,76,70,60,68,71,67,70,105,132,166,181,71,71,73,73,77,58,140,190,162,158,164,166,133,117,142,128,90,71,62,64,83,85,107,144,188,173,132,154
24,155,155,157,157,157,158,160,160,160,160,161,161,160,160,161,159,158,157,156,155,155,154,152,150,150,148,147,145,158,160,160,161,162,163,163,163,164,164,164,163,163,163,163,162,162,161,160,158,158,156,154,156,155,150,150,149,161,163,163,164,166,165,166,168,168,167,168,166,165,166,167,165,165,164,163,162,162,161,157,146,147,157,154,152,164,165,167,167,168,169,170,171,170,170,169,169,170,169,169,169,168,167,166,165,164,162,165,136,89,158,157,154,166,169,170,171,171,171,171,171,171,174,174,172,171,170,170,170,170,170,169,167,167,163,171,140,71,151,160,157,169,171,171,171,172,174,175,175,176,171,169,178,173,173,173,173,172,171,171,170,170,166,178,139,73,155,164,160,171,173,174,174,176,178,178,177,180,166,101,160,183,177,179,178,177,175,174,172,172,170,182,126,79,164,165,163,175,176,178,179,179,178,179,179,183,156,92,102,189,178,181,180,179,178,178,177,174,176,187,123,88,173,166,165,178,178,180,181,181,181,181,180,185,169,121,73,173,185,181,183,182,180,179,178,173,183,178,105,99,180,168,167,180,181,182,182,183,184,184,184,184,183,143,70,144,194,181,183,184,184,180,182,180,198,163,77,116,183,169,171,183,183,185,185,185,185,186,185,185,189,161,90,103,197,184,187,185,179,188,178,134,142,165,71,147,181,173,173,184,185,187,187,187,186,187,187,187,189,174,123,72,181,192,185,158,126,146,160,114,59,103,85,173,180,177,175,187,187,188,189,189,189,189,190,189,191,182,138,64,135,204,170,160,142,118,114,110,109,61,82,186,179,179,177,187,188,190,191,191,192,192,192,192,193,189,153,104,92,197,159,172,140,132,125,135,141,49,99,196,178,179,178,190,191,191,192,193,194,194,193,193,193,194,173,144,70,132,128,174,159,116,121,123,121,64,105,197,180,181,179,191,192,193,194,193,194,195,196,194,194,197,186,147,101,107,111,147,174,100,45,99,153,96,66,189,185,184,181,192,193,194,195,196,195,196,196,196,197,200,190,172,164,113,83,106,160,90,31,68,156,124,56,133,196,182,182,194,195,197,198,198,198,198,198,198,199,200,191,183,161,92,60,93,138,71,29,95,174,165,94,61,189,185,185,196,197,199,200,200,200,200,200,201,201,200,198,184,149,117,98,100,135,90,57,177,182,159,99,53,178,188,185,197,199,200,201,201,202,202,202,203,203,203,203,186,172,159,113,96,137,93,141,195,168,143,71,62,191,186,187,197,199,200,201,202,202,204,203,203,203,203,205,184,175,177,124,109,83,129,198,191,154,130,61,83,203,186,187,195,197,200,200,201,203,202,201,203,203,203,206,186,168,179,145,123,80,174,194,179,150,120,56,107,204,187,187,196,198,200,201,202,203,202,202,203,204,204,206,190,166,162,153,136,86,154,189,170,139,108,43,126,202,187,187,199,198,200,202,203,203,203,204,205,205,205,208,196,161,162,160,153,106,138,191,168,126,88,37,159,200,190,189,199,199,201,202,203,204,205,205,205,205,207,207,206,173,167,158,163,124,108,177,148,104,57,51,194,192,191,190,207,207,208,208,208,209,210,210,209,209,210,209,213,186,173,165,160,126,86,141,118,79,28,86,208,189,190,192,158,162,168,172,177,180,184,188,191,194,199,200,205,188,175,162,145,120,96,101,114,68,29,163,208,197,199,188,87,86,85,88,89,91,93,98,99,100,103,106,101,148,186,158,146,140,114,100,118,55,47,143,146,145,127,84
10,94,102,113,119,123,128,131,133,136,139,141,143,144,146,147,149,151,153,154,155,156,157,159,159,160,161,162,163,95,103,114,120,124,128,131,133,137,140,142,143,145,147,150,150,148,147,156,156,158,159,160,160,162,163,164,165,96,106,117,122,125,129,132,135,138,141,143,144,146,149,151,157,147,121,153,158,159,161,162,163,164,166,166,167,99,107,117,122,126,130,134,137,139,142,144,146,148,150,151,165,151,110,144,160,161,162,164,165,166,167,168,168,99,109,118,123,127,131,135,138,140,142,144,147,149,151,151,166,156,114,136,161,162,164,166,166,167,167,169,169,100,110,119,123,127,132,136,139,140,143,145,146,149,152,153,163,161,125,128,163,163,164,166,167,168,169,169,170,102,111,120,123,129,133,137,139,141,143,145,149,153,133,148,164,171,138,117,162,165,165,167,168,169,169,170,171,104,114,121,125,130,134,137,140,143,144,146,152,157,114,119,164,171,146,112,157,166,167,168,169,170,171,172,172,105,115,122,126,130,135,138,140,144,144,147,160,149,114,96,157,164,142,108,153,168,169,169,169,170,171,171,172,106,116,123,127,130,137,145,125,115,112,122,150,158,131,96,140,158,132,104,144,169,170,170,170,172,173,173,173,107,117,123,127,131,139,138,108,85,79,81,102,156,143,99,116,145,120,102,135,170,170,172,172,173,175,175,175,108,118,123,128,133,138,134,113,91,81,91,88,136,153,111,108,126,105,101,124,171,171,172,173,174,175,176,175,109,118,124,129,133,138,142,141,138,121,96,80,128,159,122,98,101,92,99,114,170,171,173,174,175,176,175,175,109,118,123,129,134,138,141,142,166,154,100,77,145,164,129,86,78,88,99,107,168,173,174,175,176,176,175,176,110,119,123,129,133,137,141,144,169,155,103,70,158,167,135,92,73,89,99,96,159,174,175,175,177,176,176,176,111,120,124,129,134,137,156,159,169,160,104,68,171,169,134,96,74,86,96,88,149,176,175,176,177,178,178,178,112,120,125,129,134,137,167,169,164,153,102,108,177,162,131,93,73,80,90,80,141,176,175,176,177,178,178,179,113,120,125,131,134,137,154,168,157,150,126,174,173,155,134,96,77,79,82,83,156,175,175,176,178,178,179,179,115,120,125,131,136,139,145,151,137,155,165,193,173,150,131,100,80,78,75,102,172,174,175,176,178,179,179,180,116,120,126,131,136,140,144,153,137,166,190,191,170,145,125,101,81,75,72,133,175,175,176,176,178,180,180,180,115,121,126,130,135,140,144,168,157,151,188,185,167,143,123,102,82,71,80,160,175,176,176,177,179,180,180,179,116,121,126,131,135,139,145,179,169,146,184,182,166,142,122,103,84,69,105,173,174,175,177,178,179,180,180,180,116,121,126,131,134,139,149,186,178,163,188,179,166,144,123,105,82,71,140,175,174,176,178,179,179,179,180,181,116,121,126,131,135,139,151,190,182,172,184,179,172,147,123,105,79,85,165,174,175,177,178,179,180,180,180,181,117,121,127,133,136,140,151,189,178,176,180,178,178,152,122,103,76,112,174,174,175,176,177,179,180,181,181,182,117,121,126,132,136,140,150,182,172,173,179,178,178,154,122,99,76,142,174,174,176,177,178,179,180,181,181,182,117,122,127,132,136,140,148,169,171,180,181,177,174,150,118,92,94,166,174,174,176,177,178,179,180,180,181,182,116,121,127,132,136,140,146,173,181,186,180,172,169,145,114,86,117,172,173,174,176,177,179,180,180,180,181,182
3,132,134,137,139,141,142,144,144,143,144,143,142,142,142,144,141,140,138,135,135,132,129,127,123,120,119,116,113,133,136,138,141,142,142,145,145,145,146,145,143,143,143,141,145,142,139,137,135,132,131,128,125,122,118,118,115,134,137,139,142,142,143,144,145,145,145,145,144,142,149,117,91,146,138,138,136,134,131,129,126,123,121,119,117,135,137,139,143,142,145,146,147,146,147,146,146,145,152,115,43,135,142,138,137,136,133,129,126,123,121,119,118,136,138,141,144,145,147,147,146,147,148,147,146,145,151,114,35,119,148,139,137,135,134,131,127,125,123,122,120,137,140,143,145,147,148,150,149,150,151,151,148,146,151,108,26,115,151,140,140,137,136,133,129,127,126,123,121,139,143,146,148,149,152,152,153,154,154,154,153,150,157,129,39,105,153,141,141,139,137,135,132,130,127,125,124,142,145,148,150,152,154,155,155,155,155,155,155,152,149,114,35,91,159,143,143,142,139,136,134,133,130,127,126,143,147,150,153,154,155,158,158,157,158,157,154,160,135,85,34,79,157,147,145,143,141,140,136,134,132,129,127,145,148,153,155,157,159,160,160,161,161,161,158,165,174,140,70,108,99,135,151,144,143,141,139,136,134,131,129,146,150,154,157,160,161,162,163,163,163,164,157,106,103,143,90,131,58,81,163,144,145,143,141,137,136,133,130,148,153,156,159,160,161,163,164,166,164,157,161,109,55,83,95,104,87,22,98,156,146,146,143,140,137,134,132,149,153,157,159,161,162,163,165,166,165,100,87,144,97,50,98,103,100,54,27,123,155,145,145,141,139,137,133,151,155,159,161,162,163,165,167,170,161,119,73,103,128,57,82,87,85,80,25,103,162,147,146,142,142,138,135,152,157,160,162,163,165,167,169,169,121,135,110,68,116,72,15,8,94,90,20,121,161,149,147,145,142,139,136,153,158,161,163,165,167,166,174,151,84,81,110,39,70,62,3,0,92,97,27,135,160,151,148,146,144,140,137,154,157,161,163,166,168,168,175,149,94,36,82,14,40,82,35,34,104,95,28,139,160,153,150,147,146,142,139,155,157,162,164,167,168,171,169,128,84,41,52,39,27,86,38,88,110,77,26,149,161,154,151,150,147,143,140,155,159,163,166,169,170,172,167,145,111,58,34,38,53,112,102,115,91,32,52,169,157,156,154,151,148,144,141,156,160,164,168,169,170,174,170,153,125,75,59,47,118,164,142,100,75,12,110,172,156,158,156,152,149,144,142,158,162,164,168,169,171,174,169,150,129,90,66,60,140,144,119,95,63,26,156,165,160,158,156,153,151,145,143,157,161,164,169,170,172,174,171,138,120,96,78,74,139,136,112,90,37,60,178,162,161,159,157,154,151,147,144,155,161,165,169,171,173,176,177,144,123,109,96,80,126,128,100,67,15,124,177,164,163,162,159,156,152,149,146,156,160,166,170,170,173,176,180,162,129,122,102,76,99,102,75,25,45,179,168,166,163,162,160,156,154,150,147,157,161,167,170,172,173,176,179,173,144,124,103,81,78,82,57,5,127,180,167,169,164,162,160,157,154,151,148,158,162,167,170,172,175,175,178,175,155,119,107,100,84,76,32,40,179,170,170,169,166,162,160,158,155,153,148,157,161,166,169,172,176,177,179,163,153,132,127,109,87,65,13,81,187,168,171,171,169,164,160,159,156,154,151,156,161,166,169,173,176,178,177,151,159,145,127,103,75,48,5,115,185,169,170,168,167,163,161,158,155,153,149
0,206,207,208,210,211,213,215,215,216,217,217,217,218,219,221,219,222,222,221,222,222,222,222,222,223,221,222,222,207,208,211,212,213,214,216,217,217,218,219,219,220,222,223,222,222,223,223,223,224,223,224,223,223,223,223,223,206,209,211,214,215,215,217,218,219,221,221,221,222,224,223,222,224,225,223,223,224,225,225,225,225,224,224,224,207,209,212,214,215,216,218,219,220,223,222,223,224,223,223,225,226,224,224,225,226,227,224,226,227,226,226,227,209,212,213,215,216,217,219,221,222,222,225,226,225,231,235,221,221,232,242,221,223,245,206,223,229,228,229,227,212,213,215,216,217,220,220,221,221,232,252,220,203,251,243,207,188,242,247,214,196,245,205,200,234,226,228,228,212,214,216,218,219,221,222,226,222,255,252,229,179,219,241,220,178,198,245,222,179,220,226,184,225,230,228,231,214,215,217,219,221,220,247,239,209,254,247,238,193,207,241,228,186,198,248,224,170,183,235,198,186,218,233,230,215,216,218,221,216,237,255,242,206,234,253,237,206,206,242,232,185,207,247,213,173,141,221,218,200,176,215,235,213,217,219,221,216,253,255,249,221,218,255,235,207,199,250,236,174,209,241,194,162,109,191,232,217,169,196,242,215,218,220,219,226,255,255,255,231,204,251,236,202,197,253,231,167,176,210,182,138,122,223,240,222,173,211,240,216,218,220,216,238,249,241,255,232,194,238,233,196,187,239,217,168,145,186,176,114,165,247,238,215,173,232,238,218,220,222,217,253,253,237,238,202,164,210,215,188,164,196,192,162,138,189,171,146,228,244,230,186,183,241,236,218,221,221,232,255,246,212,220,180,146,189,198,182,142,167,181,135,162,224,225,230,231,227,208,172,202,243,237,219,222,216,243,255,248,218,205,193,158,176,206,189,129,149,180,196,245,251,243,229,210,198,187,167,213,241,238,223,225,219,236,255,255,238,209,194,172,178,221,186,126,168,242,255,253,247,236,220,199,181,176,158,228,241,239,224,225,223,237,255,255,246,230,210,196,201,213,199,215,255,255,255,247,239,226,205,185,176,160,193,245,239,241,223,226,223,242,255,255,252,240,231,209,214,229,249,255,255,255,252,240,224,209,190,179,164,180,242,241,241,241,222,226,223,241,255,255,255,250,242,228,225,240,252,255,255,255,246,233,213,191,177,168,162,233,244,242,242,241,223,227,224,240,255,255,255,255,246,237,231,236,250,255,254,246,240,220,197,178,169,155,211,248,241,243,243,242,223,227,228,237,255,255,255,254,241,230,229,230,241,250,243,230,222,207,182,173,151,193,250,243,244,245,244,243,224,228,229,229,255,255,255,247,235,223,224,228,235,237,225,213,198,186,172,150,180,250,244,245,245,245,244,244,227,232,233,229,252,255,253,243,233,221,229,235,237,231,216,200,180,164,139,159,244,247,245,246,246,246,244,245,212,204,204,192,195,199,188,179,175,170,181,183,179,175,165,161,154,140,148,246,249,243,247,246,247,247,246,246,176,167,168,162,151,150,148,137,132,120,116,109,103,105,102,102,106,109,133,197,245,247,246,247,248,247,247,246,168,171,168,164,159,155,149,139,132,124,120,110,106,104,102,99,98,100,101,86,188,255,245,247,247,247,246,247,176,168,170,167,161,151,147,139,128,124,117,109,104,102,100,96,98,98,102,87,209,255,245,247,247,248,249,249,188,171,171,165,160,151,146,137,126,123,115,109,104,102,99,96,96,98,90,131,255,246,247,247,248,248,249,250
23,194,197,198,200,202,203,205,208,207,208,208,210,210,212,212,212,214,214,212,212,212,211,211,211,209,209,210,210,196,199,201,203,204,205,209,211,210,211,211,213,215,217,218,217,214,212,214,213,213,214,213,214,214,214,213,214,197,201,204,205,207,207,211,211,212,214,214,215,218,217,215,216,227,242,249,230,207,209,219,214,214,216,216,217,199,202,205,207,207,209,212,215,215,215,215,218,217,226,236,254,255,255,250,231,218,205,192,145,208,218,218,218,202,204,206,208,208,210,213,215,216,215,218,216,229,255,255,244,239,235,187,151,158,149,127,159,221,219,221,220,203,205,207,209,211,213,213,216,217,218,220,211,247,255,246,202,200,155,144,193,183,176,199,227,221,221,222,221,204,206,209,211,213,214,217,218,220,220,223,212,255,255,236,163,132,170,216,230,231,231,228,223,222,222,223,223,205,208,211,214,214,218,220,219,220,222,223,221,255,255,241,174,181,236,232,251,236,209,227,224,224,225,224,225,207,211,212,214,217,219,220,221,224,227,219,235,255,255,253,151,196,255,255,255,252,157,233,237,228,227,228,228,208,211,214,216,218,217,220,224,227,230,217,251,255,255,254,208,255,255,255,255,216,139,143,178,232,231,230,229,210,213,215,219,219,220,223,225,228,228,221,255,255,255,255,255,255,255,254,238,227,238,157,89,198,238,228,231,212,216,219,220,221,224,227,229,230,225,231,255,255,255,255,255,255,255,255,255,255,255,199,104,152,247,229,234,214,217,221,223,223,226,228,231,229,232,255,255,255,255,255,255,255,255,255,255,236,218,169,109,105,200,239,232,216,219,220,223,224,227,229,232,226,255,255,255,255,255,255,255,255,255,252,238,223,232,192,102,96,143,247,235,218,219,222,224,226,229,230,232,227,255,255,255,255,255,252,251,255,255,252,240,234,238,204,113,87,162,249,236,220,222,223,227,228,230,232,236,231,255,255,255,255,255,255,255,255,249,239,224,220,211,169,116,94,208,249,238,221,223,225,228,230,231,235,237,230,255,255,255,255,255,255,255,231,200,199,191,176,167,160,115,127,244,243,240,222,224,228,230,231,233,235,239,231,255,255,255,255,255,255,255,215,160,126,105,122,169,159,109,172,255,241,242,224,227,230,232,234,235,237,240,233,253,255,255,255,255,255,238,206,174,118,20,99,170,155,109,212,253,245,245,227,228,230,233,236,237,239,241,239,251,255,255,255,255,255,255,254,156,67,66,134,157,126,120,241,247,245,248,228,230,233,235,237,239,240,241,241,249,255,255,255,255,255,255,232,158,76,94,135,118,99,159,255,245,247,249,229,231,234,237,238,239,242,242,242,247,255,255,255,255,255,255,216,170,110,78,96,109,104,181,255,244,248,248,230,232,235,237,241,241,242,244,245,245,255,255,255,255,255,255,219,166,126,72,99,122,106,202,255,248,250,250,230,232,236,238,240,241,244,245,247,245,255,255,255,255,255,255,221,168,138,95,111,127,112,230,255,251,252,253,231,233,237,238,240,242,245,247,248,247,255,255,255,255,255,255,223,174,140,108,122,125,132,255,250,253,254,254,231,234,237,238,241,243,246,248,249,247,255,255,255,255,255,249,214,169,140,117,124,110,176,255,251,254,254,255,234,236,238,240,243,244,248,249,251,249,255,255,255,255,254,233,201,160,141,128,119,118,245,255,254,255,255,255,236,238,239,242,245,248,249,249,253,250,255,255,255,255,238,213,179,155,146,137,107,172,255,253,255,255,255,255
4,97,104,111,114,118,123,126,128,132,133,136,140,142,144,147,148,148,148,151,155,154,155,157,158,158,158,158,159,98,105,112,116,118,122,126,129,132,134,135,139,143,147,146,146,150,154,153,152,158,156,158,159,160,159,159,160,100,107,112,116,121,124,127,130,132,136,137,142,139,146,151,151,147,138,151,157,154,161,160,160,161,161,160,160,101,108,113,117,122,126,129,131,134,135,133,147,160,138,129,175,150,92,70,132,114,105,161,162,161,162,163,164,102,109,114,118,123,127,132,130,134,157,131,119,150,147,81,134,141,87,32,74,107,55,101,173,161,164,164,164,101,109,114,118,124,129,133,127,159,190,161,124,81,92,72,100,137,73,26,108,108,59,48,170,166,166,167,167,103,110,116,119,124,129,131,131,185,150,163,115,72,38,46,115,157,67,81,132,82,33,30,162,167,165,168,167,106,111,116,120,125,130,125,148,172,115,157,82,45,43,39,82,126,120,145,117,89,19,48,170,166,168,169,169,105,112,117,122,127,132,124,166,166,126,145,85,38,61,80,84,121,142,118,126,119,76,73,181,167,170,171,171,103,112,118,123,126,132,129,182,156,134,125,101,18,87,155,127,125,117,98,152,134,118,88,158,174,169,173,174,105,113,119,123,128,129,143,178,127,99,85,62,9,37,113,102,102,63,74,162,153,145,105,84,172,174,174,174,105,113,120,124,131,124,164,178,129,101,79,46,21,12,26,44,45,59,110,139,156,147,126,75,104,183,173,175,106,114,120,125,132,128,189,171,134,116,89,62,38,26,27,37,92,165,158,141,136,116,115,102,55,153,182,175,107,116,120,127,128,139,200,168,149,121,83,61,45,37,85,148,180,178,153,136,118,90,90,93,54,136,187,175,109,116,121,127,124,161,208,173,148,111,87,81,51,86,164,181,179,176,150,126,105,78,67,70,64,169,179,177,109,116,123,129,125,179,210,173,138,113,108,90,81,148,166,170,175,164,141,115,93,70,62,47,124,187,176,178,110,115,122,130,123,186,207,165,144,138,126,101,128,157,165,169,164,151,126,101,82,65,49,72,177,176,180,181,110,117,123,132,125,191,206,174,160,151,130,120,150,160,170,164,144,132,109,89,74,59,42,147,186,176,182,183,112,118,124,130,125,182,206,184,170,151,129,116,142,159,157,149,130,116,97,77,68,41,94,189,178,179,183,184,112,119,125,130,126,168,204,181,169,151,124,106,131,144,142,133,115,104,85,68,53,53,167,184,180,180,183,183,113,120,126,132,131,155,197,169,150,137,116,114,130,142,140,126,102,90,73,58,40,142,187,181,183,184,183,184,114,120,127,133,132,152,186,149,141,131,122,131,122,130,131,116,96,79,66,37,111,187,180,182,183,185,185,185,114,120,125,135,131,149,182,146,151,141,150,146,117,114,123,105,82,74,44,75,182,178,182,183,184,185,185,185,115,121,127,133,133,162,181,163,155,150,145,134,111,97,111,94,73,63,41,156,183,180,185,185,185,186,185,186,116,122,128,128,167,187,154,148,163,155,135,118,102,87,96,83,72,39,89,188,178,183,183,184,185,186,186,186,116,122,122,145,191,177,182,107,116,157,124,108,97,78,79,75,68,29,112,191,178,182,184,185,185,186,186,188,117,124,127,183,180,176,182,178,88,92,110,104,86,60,72,66,61,30,120,192,179,183,185,187,187,187,188,189,119,116,160,191,169,180,179,178,180,78,64,93,74,58,67,59,57,27,127,190,181,184,184,187,188,188,189,189
10,46,47,49,52,54,67,87,101,126,123,115,139,142,149,154,158,163,167,169,172,175,177,179,180,180,181,183,183,46,47,49,52,54,69,89,100,144,132,80,127,151,150,156,161,165,169,173,176,178,180,181,183,183,184,185,185,46,47,50,52,55,71,91,107,130,137,95,74,141,157,158,163,167,171,175,179,181,182,184,186,186,187,187,187,47,47,50,53,56,74,94,111,122,129,105,71,76,162,161,165,170,174,176,181,183,185,187,188,188,189,190,190,47,48,51,53,57,77,97,114,124,131,108,88,58,112,172,167,172,175,180,184,187,189,190,191,191,191,193,192,47,48,51,52,58,79,99,116,127,132,129,104,85,59,149,175,173,178,184,187,189,191,193,194,193,193,195,194,47,48,51,53,59,81,100,117,126,132,146,128,93,65,81,179,177,182,187,189,191,194,194,195,195,195,196,197,47,49,51,50,65,86,106,117,143,101,126,154,118,101,59,150,188,183,188,192,193,194,195,196,197,199,199,199,47,50,46,97,119,68,89,128,155,84,71,161,146,116,73,101,192,184,189,192,194,195,198,198,199,200,201,200,47,50,44,107,108,50,40,76,115,92,44,113,169,114,86,59,171,190,189,193,195,198,200,200,201,202,202,201,47,50,49,59,74,53,45,38,49,86,69,51,149,126,84,56,116,201,189,195,197,200,202,203,203,203,203,204,47,49,53,51,71,73,48,43,43,85,95,67,66,124,99,97,57,175,197,196,198,201,203,203,203,204,204,205,47,48,52,53,72,96,99,73,48,78,111,89,54,55,82,103,56,112,205,196,201,201,203,205,205,206,207,207,46,48,51,54,74,96,118,133,109,64,115,111,83,45,48,72,64,60,185,202,202,203,204,206,206,208,208,208,46,46,49,54,75,96,111,143,153,76,55,143,116,79,44,41,55,46,159,209,200,204,204,206,207,207,208,209,45,46,48,54,76,103,122,147,157,117,22,118,155,107,75,49,51,40,141,209,198,202,203,205,206,207,208,209,45,45,47,54,73,127,146,137,174,142,51,59,176,127,103,72,48,35,124,211,200,202,204,205,206,208,208,209,42,44,45,54,74,115,160,131,162,151,84,92,175,141,122,83,49,34,109,210,200,204,207,207,208,209,209,210,45,44,43,52,77,96,142,136,133,146,107,132,163,123,118,77,55,42,101,211,201,203,206,206,208,208,209,209,84,81,81,83,90,94,114,138,133,160,122,116,163,114,112,80,58,46,89,204,202,206,209,211,214,215,216,218,77,79,83,85,84,79,87,141,144,155,163,112,145,126,114,87,60,50,66,119,123,126,130,134,138,142,147,152,81,81,81,85,88,90,83,145,173,143,174,119,77,127,113,90,65,55,54,91,99,99,100,97,98,97,96,97,81,82,83,86,88,90,85,112,178,159,148,137,76,102,109,87,67,56,51,91,108,103,105,107,107,108,109,109,80,82,83,86,88,90,90,94,160,169,160,169,158,116,101,82,66,55,52,84,106,102,102,105,105,105,107,107,80,82,84,85,88,88,91,86,125,164,166,160,170,144,96,73,66,59,54,82,105,103,103,103,104,104,106,106,79,80,82,84,86,88,89,91,92,147,168,158,154,151,103,71,72,66,55,82,104,102,103,104,103,104,105,106,78,79,81,84,87,87,90,92,89,110,160,154,141,132,114,92,89,74,52,73,103,102,102,107,103,103,104,102,77,79,80,82,85,87,88,90,92,88,133,145,131,118,117,115,106,85,59,60,98,102,103,103,103,105,99,132
4,155,158,159,163,164,167,170,171,170,173,174,174,175,176,176,176,176,176,175,174,175,174,174,174,173,172,171,171,156,159,160,164,165,168,170,171,172,173,175,175,175,178,178,176,177,178,177,175,176,174,174,174,175,174,174,173,157,160,162,164,166,168,170,172,173,174,177,176,177,177,179,180,178,178,179,178,177,176,176,175,176,175,174,172,158,161,164,166,168,170,171,173,176,175,176,178,175,186,175,165,181,182,169,180,179,178,177,177,175,174,174,174,159,163,165,167,169,171,173,174,175,175,178,172,197,202,172,138,177,191,150,145,182,181,180,178,177,176,175,175,159,163,167,168,170,172,174,177,172,205,207,170,181,215,172,142,194,189,160,104,165,166,171,182,179,177,176,175,161,165,167,170,172,172,176,175,182,235,232,189,134,211,177,139,214,193,138,129,186,137,114,174,180,176,178,177,163,166,167,172,174,173,178,171,203,225,225,176,127,204,179,144,205,182,165,186,153,127,87,134,187,177,179,179,163,165,169,173,174,176,178,175,220,199,213,160,113,179,189,190,189,210,235,199,127,96,86,122,189,180,181,180,164,168,171,173,175,178,176,185,224,188,199,172,94,160,173,194,209,220,211,193,158,101,72,136,190,180,181,180,165,168,172,173,176,179,174,212,221,181,174,175,85,147,144,117,170,192,180,196,173,121,72,149,190,181,182,181,164,168,172,174,176,176,183,229,194,163,154,123,86,150,146,87,180,148,163,212,182,137,91,170,187,183,182,182,166,170,173,175,178,173,198,231,183,149,142,126,112,128,125,99,173,116,136,237,199,154,101,175,188,183,183,183,167,171,173,176,180,171,214,234,184,147,128,111,115,120,120,132,143,150,165,226,212,164,101,136,194,184,185,184,167,171,174,177,181,174,227,231,184,144,124,112,120,118,144,167,180,212,208,196,196,158,119,106,190,186,186,185,169,171,175,179,180,179,236,229,179,139,140,126,117,110,158,189,212,208,204,186,153,161,129,112,188,187,187,186,168,171,175,178,178,186,243,225,176,154,164,136,119,153,206,220,211,208,191,165,131,136,107,137,195,186,187,186,166,170,172,177,176,190,244,223,189,189,177,140,178,222,234,223,209,200,174,147,125,109,101,174,190,187,187,186,168,171,174,178,177,194,244,231,212,203,187,151,209,229,234,231,194,182,160,140,120,94,133,195,186,189,187,187,168,171,175,179,177,194,245,237,219,197,191,161,213,235,232,218,179,163,149,135,111,98,181,192,190,190,188,187,169,172,175,180,180,185,242,236,221,198,185,176,215,230,214,197,168,148,141,123,92,141,197,189,190,189,189,188,170,172,176,179,181,182,234,227,212,203,187,182,201,210,192,171,154,149,138,104,102,188,194,192,190,189,189,187,169,171,176,179,181,182,230,214,202,207,195,182,193,201,184,162,142,142,126,91,157,198,190,191,190,188,187,186,168,172,176,180,183,181,224,204,201,205,189,168,189,203,180,149,128,130,107,129,199,194,195,192,191,191,190,189,164,167,169,172,177,173,221,213,206,197,186,167,179,202,166,130,120,116,108,172,183,180,181,179,179,178,179,173,113,113,113,112,116,107,214,227,216,202,189,171,169,196,156,123,115,106,99,106,106,105,104,103,103,106,96,112,101,102,103,101,107,91,202,242,221,206,199,176,155,193,163,122,105,99,98,95,95,95,94,93,94,86,128,203,109,109,110,111,115,97,187,243,218,200,196,176,145,185,165,116,102,97,100,102,101,99,100,102,91,141,221,212
19,147,152,156,162,167,172,175,178,182,184,186,189,190,191,191,192,194,193,192,192,191,189,189,189,188,186,187,187,149,155,159,164,169,173,177,180,183,185,187,190,191,192,193,195,195,193,192,192,193,192,192,191,189,189,188,188,150,155,162,167,171,176,178,181,184,187,191,192,191,193,195,195,196,196,195,194,194,194,193,193,193,193,192,189,150,156,164,169,174,177,180,182,185,187,191,192,194,197,197,195,196,196,198,197,196,195,195,194,193,193,194,192,153,158,164,169,175,178,181,184,186,190,192,194,196,195,199,201,197,198,200,200,198,197,196,195,195,194,194,193,153,158,164,170,176,180,184,186,188,192,193,193,204,191,131,178,204,199,201,201,199,199,198,198,197,195,194,193,154,160,166,173,178,183,185,187,190,192,196,192,218,201,104,104,209,200,203,201,199,201,200,199,197,196,195,195,156,161,168,174,180,183,186,190,192,192,198,194,227,210,125,72,192,207,203,201,200,202,203,200,199,198,197,197,158,163,170,176,181,185,186,188,195,199,200,194,219,193,126,61,168,213,203,204,203,205,202,197,197,201,199,197,159,163,170,176,182,183,193,196,154,136,161,174,160,148,131,111,128,153,162,153,148,163,136,175,202,180,202,199,158,164,171,177,184,183,208,189,135,132,139,150,159,152,147,135,125,139,167,148,143,152,137,204,213,133,203,201,160,166,174,180,182,197,209,192,154,96,92,96,132,136,139,119,114,119,130,128,124,122,122,144,141,154,209,199,161,168,174,180,184,211,223,204,146,75,63,75,77,78,83,72,71,88,104,109,109,119,128,146,179,206,203,203,161,169,175,178,207,221,225,181,130,90,70,83,87,79,39,89,183,201,206,205,209,216,214,215,213,204,203,203,162,171,172,198,227,224,229,200,142,84,67,67,95,95,67,58,176,224,211,213,213,211,210,208,209,208,206,204,164,169,180,223,224,226,238,213,142,77,62,55,74,101,88,61,48,204,217,213,214,215,212,211,211,210,209,208,167,167,209,228,226,234,234,209,143,81,62,74,69,62,64,81,43,175,226,214,215,216,215,213,212,210,210,208,160,187,231,226,229,232,227,208,156,91,60,56,86,78,50,36,66,214,219,217,216,217,216,216,213,211,211,209,167,220,227,226,229,225,228,221,178,93,64,48,69,85,75,26,141,235,214,217,218,218,217,215,214,213,211,210,211,232,225,227,222,221,230,211,153,98,75,66,60,54,75,44,190,228,217,218,218,219,218,217,216,214,213,212,235,220,227,220,207,205,203,177,128,111,101,86,77,56,35,74,219,222,219,220,220,220,219,218,217,215,213,212,222,218,216,207,204,198,185,168,142,116,98,96,86,70,31,166,236,219,221,222,221,221,221,220,218,217,215,214,213,208,211,203,201,199,186,165,168,141,92,81,88,79,44,189,233,221,221,222,222,222,221,220,218,218,218,217,207,209,209,194,195,194,176,152,154,123,55,51,86,59,105,234,221,224,223,222,222,222,221,220,218,218,218,216,206,213,194,182,180,174,151,122,102,74,28,44,73,64,199,227,221,221,220,220,220,221,221,220,219,217,217,215,208,206,182,154,151,150,117,81,72,58,51,70,106,188,227,218,221,221,221,221,221,221,221,219,219,218,217,216,193,188,172,137,108,108,90,67,60,176,194,201,223,226,219,222,221,223,223,223,221,220,221,220,219,219,217,217,163,174,167,120,66,42,42,18,125,230,219,222,219,220,222,223,225,225,225,224,223,222,222,220,220,219,218,217
20,108,111,115,119,120,123,127,128,130,131,132,133,131,134,134,131,132,132,132,131,128,126,126,126,123,122,121,120,109,113,117,121,123,126,129,131,133,134,135,134,139,120,126,139,134,134,134,132,132,130,128,127,126,126,124,123,111,116,120,123,127,131,132,134,135,138,139,133,166,99,77,142,136,136,137,135,134,132,132,131,130,129,128,126,114,119,123,127,130,133,134,136,138,141,141,137,174,107,83,101,113,144,137,138,136,134,134,132,132,132,130,129,116,121,127,129,132,135,138,140,142,142,144,140,172,103,114,118,77,150,139,141,140,139,137,136,135,134,133,132,119,124,129,132,134,137,141,144,145,145,146,143,179,119,118,138,63,144,144,143,142,141,140,139,139,137,137,134,123,128,131,134,136,139,143,146,147,148,149,146,185,131,112,158,66,135,150,145,145,143,142,142,142,141,140,137,126,130,133,137,139,142,146,148,149,149,153,152,181,120,109,166,74,123,157,148,148,146,144,143,143,142,141,140,128,132,135,139,143,146,148,148,155,159,136,154,200,128,115,170,81,111,159,150,150,149,147,147,145,145,143,141,130,134,138,142,144,148,149,148,164,190,141,124,153,121,105,185,97,105,162,150,151,151,150,149,148,147,145,143,131,136,140,144,147,147,155,192,135,124,170,121,77,71,74,165,102,97,163,152,154,153,151,151,151,149,147,146,133,138,142,145,150,148,170,168,156,114,164,159,155,126,73,109,97,89,166,156,156,156,153,151,151,150,150,148,135,140,143,148,152,151,170,154,124,110,123,154,170,168,95,50,69,81,166,156,157,156,155,153,151,151,151,149,137,142,145,149,153,155,164,179,144,91,54,52,84,165,127,57,30,73,167,158,159,159,157,155,155,154,152,152,138,142,149,152,155,158,161,195,155,99,62,51,42,148,166,94,28,59,167,162,161,160,159,158,158,156,152,152,140,145,150,153,157,159,163,187,153,106,71,82,97,160,189,132,61,45,163,166,164,162,161,159,159,157,155,153,143,148,152,155,159,162,165,198,163,109,92,84,130,196,183,137,90,42,158,169,164,163,162,161,160,159,157,155,143,149,154,158,162,165,168,202,168,118,101,102,162,202,162,113,75,42,161,169,166,165,163,163,162,160,160,157,144,150,154,157,163,166,169,201,176,136,120,110,182,192,142,92,49,62,174,167,167,166,166,166,164,162,161,157,147,153,157,161,164,166,169,195,178,137,128,118,190,181,128,83,41,71,181,169,171,168,166,167,166,165,161,158,149,154,159,163,165,169,169,186,178,140,141,122,182,166,113,74,34,77,183,170,173,171,169,167,166,165,163,160,149,155,160,164,167,170,171,179,183,156,154,122,174,150,96,62,26,97,186,171,173,173,172,168,167,167,164,162,150,156,161,165,169,170,174,177,184,162,156,116,157,128,78,57,25,125,186,173,174,173,172,170,170,168,166,164,150,157,162,165,169,172,175,178,191,157,128,96,141,105,83,59,38,165,181,177,176,173,172,172,172,169,167,165,152,158,163,165,170,173,175,179,196,167,125,116,139,93,100,40,92,190,177,180,179,176,175,174,172,172,168,165,153,158,163,167,171,174,173,184,203,182,152,144,121,88,87,29,149,187,178,180,180,178,175,175,174,173,170,167,151,157,160,166,170,174,170,184,186,161,160,143,110,82,60,52,177,181,179,179,178,175,175,174,174,172,171,168,151,157,162,167,170,176,166,190,178,142,140,128,91,70,36,85,188,180,180,180,178,177,175,173,172,172,170,167
12,125,129,132,133,137,139,140,141,142,143,144,144,147,148,148,148,148,147,148,148,148,148,146,145,144,144,144,143,127,130,132,134,138,140,141,143,143,144,144,147,148,148,149,149,149,149,148,148,148,147,147,147,147,145,145,144,128,130,134,136,138,140,141,143,145,146,147,148,148,149,146,149,151,151,148,149,149,149,149,148,148,146,146,146,128,131,134,137,139,141,142,144,146,147,146,149,147,144,169,148,126,141,153,150,150,148,150,149,148,148,148,146,129,132,136,138,140,141,144,146,148,145,160,182,163,125,164,174,118,96,152,149,151,152,149,149,150,148,148,147,130,133,136,139,140,143,146,148,150,144,184,204,180,141,106,162,147,88,134,168,133,134,152,151,150,148,148,148,131,134,136,139,141,143,146,148,150,145,182,188,190,164,139,108,138,117,111,177,129,91,131,155,150,149,149,148,131,135,138,141,142,144,146,148,148,144,178,158,146,170,141,78,120,134,78,121,134,82,94,156,151,150,150,150,132,135,139,141,143,145,148,143,157,177,140,122,134,150,137,117,134,105,60,84,112,81,81,153,153,151,150,151,132,136,139,142,144,147,144,157,203,175,124,85,112,159,160,160,144,113,93,137,99,76,82,154,153,151,151,152,133,137,140,142,144,147,142,192,191,162,132,88,61,135,148,142,155,164,151,143,93,68,92,160,153,153,153,153,133,137,140,143,146,143,165,186,171,176,140,96,44,75,102,128,153,183,171,138,89,54,116,161,153,154,153,153,135,138,141,143,147,141,187,177,165,179,146,109,55,56,57,79,146,169,176,154,124,77,139,160,154,154,154,153,134,138,141,145,142,165,188,166,150,185,166,126,61,62,64,110,170,162,154,133,135,104,111,162,154,155,155,154,132,137,141,144,139,189,192,166,127,146,182,137,79,56,129,180,172,157,149,118,115,104,94,159,155,155,155,155,134,138,140,141,140,195,194,166,128,106,148,174,108,120,195,169,163,152,141,116,99,84,110,161,155,155,154,154,135,138,142,143,147,203,195,166,151,150,116,124,133,194,194,172,159,152,130,113,90,76,131,162,156,156,155,155,134,139,143,142,149,203,192,174,172,164,137,135,186,198,195,177,148,138,119,110,86,81,150,160,157,157,155,155,135,139,143,142,148,199,195,186,178,166,148,144,187,196,185,168,141,122,115,105,80,98,162,158,158,157,156,156,134,139,140,144,145,194,200,191,177,162,150,145,181,190,174,153,128,117,117,95,73,131,164,158,159,159,156,154,133,136,139,144,139,178,198,185,174,165,155,152,173,177,159,137,122,121,115,82,91,159,159,158,158,156,155,154,135,139,142,147,143,165,192,174,166,162,156,152,166,172,152,131,119,116,102,78,139,166,161,161,161,159,159,159,113,115,116,118,112,142,189,160,159,159,150,138,155,171,149,123,110,105,89,83,116,116,114,114,113,113,113,113,80,79,78,81,70,110,191,155,159,161,150,136,147,166,134,104,96,93,83,75,71,72,71,70,70,70,69,70,88,87,87,89,80,112,195,161,168,165,151,137,142,161,122,97,90,86,81,82,80,81,79,78,79,77,77,77,87,87,87,90,81,112,200,172,180,173,156,138,133,157,121,99,83,80,82,83,82,80,78,78,78,77,77,77,88,87,87,90,82,106,196,181,187,173,155,134,126,151,123,97,82,78,81,82,82,80,80,79,79,79,78,75,87,88,88,89,85,97,188,182,183,162,148,135,122,141,119,92,81,78,82,82,80,80,79,79,80,79,75,83
11,166,169,171,174,177,177,179,180,181,181,181,180,181,180,179,178,177,175,175,174,172,172,170,169,167,167,165,163,168,171,173,176,179,179,181,182,183,183,182,182,182,181,182,180,179,178,176,176,174,174,172,172,169,168,166,165,170,173,175,178,180,182,183,184,184,185,185,184,184,183,182,181,180,180,178,177,176,176,174,173,171,170,168,166,172,175,177,179,182,183,185,186,185,187,187,187,186,185,184,183,179,177,181,180,178,178,176,174,173,172,170,168,174,177,179,181,183,186,188,188,187,187,187,187,187,187,187,188,175,130,177,180,179,179,179,176,176,174,171,169,175,179,180,182,185,187,188,188,188,189,189,189,189,188,188,194,175,112,161,182,181,181,181,179,178,175,173,172,177,180,183,185,187,188,189,191,190,190,191,191,190,189,189,194,172,118,153,185,183,181,181,181,178,177,175,174,178,181,184,186,188,189,192,193,193,193,192,192,192,191,190,200,182,128,151,186,185,182,182,181,180,177,176,174,180,182,185,188,189,192,194,194,194,194,194,192,193,193,191,206,188,134,142,187,186,184,183,182,181,179,177,176,182,184,186,188,191,193,194,195,195,195,195,194,194,194,193,209,177,125,141,188,186,185,185,184,182,180,178,177,183,185,187,191,193,194,195,196,196,196,196,196,196,195,194,210,171,118,146,189,188,187,186,186,184,182,180,178,184,187,190,193,195,196,196,197,198,198,198,196,185,159,173,209,168,120,156,190,189,189,188,186,185,183,182,179,187,188,191,194,196,197,198,199,200,191,166,174,171,133,112,181,147,107,167,192,191,190,189,188,187,185,182,180,188,190,192,195,198,199,197,172,173,182,138,96,157,138,89,99,101,91,182,194,193,191,190,189,188,186,183,181,189,192,194,196,198,203,200,158,108,170,141,89,157,135,86,76,84,104,194,195,193,193,192,190,188,187,185,183,189,193,195,198,199,215,207,174,105,153,142,89,147,120,83,73,80,112,197,196,195,193,189,183,174,172,181,184,192,194,196,200,207,224,210,172,108,117,126,83,133,116,80,65,71,109,199,196,195,189,177,166,145,131,130,159,193,195,198,199,216,209,193,168,110,88,116,82,153,128,90,60,76,115,198,193,198,191,157,132,113,105,98,108,195,196,200,201,220,222,197,160,101,102,132,92,179,163,106,68,88,112,179,191,187,143,98,87,119,143,139,151,195,197,201,202,225,224,196,145,119,125,182,118,174,163,96,85,119,133,169,178,143,95,98,168,191,191,189,187,195,198,201,202,227,220,187,159,156,124,207,134,99,134,118,132,136,130,145,129,93,108,183,195,195,193,190,188,195,198,201,202,224,219,198,175,148,133,168,125,134,170,165,147,131,114,106,88,100,188,198,197,195,193,191,189,196,200,203,204,218,218,204,182,165,178,188,189,172,163,153,138,124,96,84,93,179,201,200,198,197,195,193,191,197,201,203,205,213,214,200,177,156,159,171,177,165,157,139,127,112,80,106,182,202,203,201,199,198,195,193,192,197,200,196,200,209,209,194,162,140,153,165,160,153,140,126,115,88,119,195,205,204,202,201,200,198,196,194,193,196,194,109,86,181,189,177,154,153,159,159,149,136,117,100,89,137,200,206,205,203,201,201,200,198,195,193,191,197,150,69,60,108,168,185,180,172,153,149,130,103,77,108,182,206,208,207,206,204,202,201,200,198,196,193,191,191,94,64,64,65,95,153,167,157,141,130,110,82,80,193,210,209,208,207,206,204,202,201,200,198,195,194,192
6,119,124,128,130,132,136,139,142,145,148,149,150,153,155,156,158,159,160,161,163,163,163,163,164,164,164,164,164,121,125,127,129,132,136,140,142,145,148,150,151,153,155,157,159,159,161,161,163,164,164,164,164,164,164,164,164,120,125,128,129,132,137,141,144,145,148,151,153,155,156,157,158,161,162,163,163,164,165,166,166,165,165,164,164,121,126,129,130,134,138,142,144,147,150,152,154,156,157,158,159,162,164,165,164,166,166,168,167,166,166,165,166,121,127,128,131,133,137,140,144,147,150,152,154,157,157,159,160,162,165,165,164,167,167,168,169,168,168,170,169,122,127,129,132,133,138,142,145,148,151,152,154,157,157,159,160,161,162,162,163,160,163,163,164,164,162,158,160,123,127,130,132,133,137,143,145,147,148,157,161,158,161,164,166,167,171,170,166,168,172,180,172,164,159,142,141,121,125,128,129,132,137,140,142,152,170,179,175,161,155,167,178,182,183,179,167,170,178,182,179,172,162,150,149,121,126,128,130,131,134,146,164,179,181,179,171,158,131,126,150,155,154,152,148,150,143,136,137,136,129,125,131,123,130,129,126,138,160,181,181,174,173,176,179,164,125,95,96,97,102,113,113,116,128,142,147,149,151,153,158,122,124,133,155,174,183,178,173,175,179,181,170,141,121,97,91,88,81,104,147,161,168,171,171,172,173,171,171,126,153,177,184,180,180,175,176,180,178,166,148,124,111,100,98,104,98,95,128,152,170,168,170,169,169,168,168,178,185,182,180,178,181,181,178,177,177,175,173,145,107,97,87,97,109,102,93,78,138,177,169,171,170,169,170,184,182,183,182,179,176,177,175,176,179,185,181,140,107,101,96,89,98,109,114,95,78,147,175,169,170,170,170,188,186,185,178,178,177,178,173,175,184,185,156,126,112,105,107,109,97,86,94,101,87,100,175,169,170,169,169,188,185,180,173,171,169,169,167,171,178,171,145,121,108,109,112,114,107,88,84,83,89,110,171,169,169,168,168,183,181,175,169,170,168,167,164,166,170,169,154,121,97,80,100,116,138,107,95,83,86,104,117,115,115,114,113,181,181,181,175,172,172,173,172,170,175,173,153,114,102,92,89,90,106,114,107,93,93,88,86,86,87,87,85,184,184,179,173,172,171,171,169,172,177,168,141,109,105,110,109,102,91,94,98,101,96,93,95,95,94,94,94,179,176,171,168,169,162,158,156,163,165,153,134,116,114,113,108,101,95,91,89,99,100,97,94,93,92,92,92,168,166,166,161,155,153,145,146,156,152,138,126,116,111,114,113,104,96,95,99,97,98,98,94,95,93,92,92,150,153,147,146,140,140,138,136,135,127,114,104,102,95,95,101,102,101,100,98,95,97,96,93,94,93,91,91,118,119,123,123,125,119,112,106,101,99,98,97,97,97,94,93,94,99,97,95,96,96,96,94,96,93,92,92,108,98,97,97,93,93,96,96,95,98,99,100,99,98,99,98,98,97,97,97,95,94,96,95,96,94,93,93,97,94,88,82,90,97,98,100,100,100,100,99,99,99,98,98,98,98,98,97,96,94,94,94,94,93,92,93,88,79,76,82,93,100,99,99,100,101,99,99,98,99,99,97,97,98,97,97,96,95,94,94,95,94,93,92,109,101,90,87,91,99,100,100,99,99,98,98,98,98,98,97,97,97,97,97,96,95,93,94,94,92,92,92,115,98,90,88,91,98,100,100,99,99,99,98,98,98,97,97,97,97,97,97,96,94,94,93,94,92,93,93
12,173,177,180,183,186,188,190,192,193,194,194,194,194,194,194,194,194,194,194,192,191,190,189,189,188,187,185,184,174,178,181,185,187,189,192,194,195,195,195,195,196,196,195,195,195,195,195,194,193,193,192,191,190,189,187,186,175,178,182,186,188,191,193,195,196,197,197,194,192,196,195,185,184,193,195,194,195,195,195,194,193,191,189,188,176,179,183,187,190,192,194,196,197,199,203,193,176,182,195,181,160,172,181,176,185,195,197,196,194,193,192,191,178,181,184,187,191,194,195,197,199,203,217,214,189,164,172,196,170,139,144,151,153,184,198,198,196,195,194,193,180,183,186,189,193,196,198,199,201,211,218,218,205,162,135,176,177,127,109,136,131,154,194,199,198,197,195,195,182,185,188,192,195,197,199,200,202,211,198,203,203,155,118,157,167,122,96,121,121,124,186,200,199,198,197,196,183,186,190,193,197,200,202,204,200,178,158,186,189,144,110,154,162,120,98,122,116,119,186,201,201,200,198,198,185,188,192,195,199,202,209,219,205,155,120,147,174,146,105,151,176,130,106,138,123,131,193,203,202,201,200,198,188,190,194,197,201,211,221,221,209,160,110,112,162,144,94,145,183,132,115,159,136,153,199,203,203,202,201,200,189,193,197,200,209,222,209,200,207,166,107,83,127,121,74,113,163,125,114,154,140,175,204,205,204,203,202,201,192,195,200,204,218,220,195,176,191,160,106,69,78,84,82,114,138,133,133,139,123,168,206,206,205,204,203,202,194,198,201,207,217,204,174,148,168,155,107,69,67,87,140,180,172,161,146,131,117,141,199,208,207,206,204,203,197,200,203,207,219,203,172,137,147,151,110,75,82,125,178,200,190,168,138,117,114,123,188,209,208,207,205,204,200,202,205,209,222,208,180,145,133,146,125,90,113,167,196,199,190,165,133,111,103,121,191,210,209,208,206,205,202,205,208,215,227,214,189,158,130,136,134,113,159,199,207,201,188,155,126,105,93,143,205,213,210,209,207,206,205,208,210,221,231,220,197,168,141,129,130,148,193,210,213,205,177,140,119,98,104,180,214,214,211,208,202,193,207,209,213,223,231,224,205,177,159,144,141,171,196,209,213,196,160,130,112,93,135,204,212,202,185,164,139,116,209,211,214,221,228,226,210,187,174,159,151,176,190,209,208,181,147,122,105,99,159,180,156,125,97,80,69,61,211,214,216,218,226,227,213,194,184,169,158,181,191,203,196,163,134,113,95,91,110,92,71,58,52,49,50,55,214,216,219,218,222,223,212,197,187,172,163,179,194,189,174,145,122,103,80,59,54,49,46,44,46,44,42,50,216,219,222,219,218,221,212,198,185,172,164,171,185,174,153,131,112,93,62,39,40,46,41,38,44,45,39,41,217,220,223,220,216,222,211,196,183,170,159,162,174,162,139,120,102,80,57,34,32,45,43,34,37,45,42,35,219,222,224,221,218,221,204,187,177,167,155,159,166,151,125,107,86,62,56,39,26,36,45,37,31,39,43,38,222,225,227,222,218,219,195,178,175,166,155,159,157,138,112,91,61,40,48,46,26,24,39,41,32,31,40,42,224,226,228,220,217,223,197,185,185,173,161,159,148,126,102,75,49,29,37,47,31,17,28,40,37,28,33,41,225,227,229,208,205,225,206,201,198,177,161,155,140,118,94,61,44,29,28,41,37,17,18,33,41,33,29,36,226,228,228,187,184,224,216,215,203,174,160,155,137,114,87,56,41,32,22,33,40,20,12,27,41,38,29,30
15,120,132,140,149,155,156,160,166,171,175,180,184,188,192,194,198,200,203,206,207,208,209,210,212,213,213,215,214,122,133,142,150,157,158,161,168,173,177,181,186,188,192,197,200,204,206,208,208,209,212,211,214,214,215,217,217,124,135,144,153,159,162,163,169,176,179,183,187,191,194,198,202,205,207,208,210,211,212,213,214,214,215,217,219,125,137,145,153,158,161,163,172,177,181,186,190,193,197,200,203,206,209,210,212,213,215,216,215,216,219,218,219,127,138,148,155,159,160,165,173,178,182,188,192,193,198,201,204,208,211,212,214,215,217,218,218,220,222,221,221,127,139,149,157,161,163,168,174,181,186,190,192,196,200,203,207,208,212,213,214,216,218,219,221,222,222,223,223,129,140,150,157,159,165,169,176,182,187,190,195,198,203,205,207,210,214,215,216,218,220,222,223,224,223,224,225,129,141,150,162,220,198,181,179,181,189,192,197,201,206,206,210,214,215,217,219,221,221,224,225,225,225,225,227,131,144,148,176,248,207,194,192,186,197,196,195,193,198,207,214,215,217,220,220,221,223,223,225,226,228,228,229,133,144,153,162,194,193,185,178,179,202,200,195,188,174,187,198,204,212,219,221,225,229,228,227,229,230,231,230,134,145,156,163,167,170,168,160,167,183,186,188,186,188,196,187,191,196,207,208,199,209,227,233,228,231,232,232,136,148,157,165,170,173,177,183,185,187,182,174,173,184,189,183,178,175,198,209,198,184,174,212,240,231,233,235,137,149,159,165,171,174,178,186,192,197,201,198,195,191,183,172,162,173,196,207,216,182,174,160,204,241,234,237,137,149,159,167,173,175,180,187,192,198,202,207,211,213,212,204,195,208,206,200,207,199,185,191,158,194,244,235,140,151,162,168,175,178,181,187,193,199,203,208,211,217,215,227,255,231,199,157,205,205,181,205,185,148,200,250,141,152,162,170,175,176,181,188,194,200,206,209,232,204,181,198,229,222,180,123,197,205,186,204,202,177,138,202,142,154,164,171,177,177,183,190,196,202,205,216,239,201,168,204,248,235,178,156,181,191,199,200,192,176,150,133,144,156,164,173,178,179,184,191,197,204,208,216,215,178,171,213,249,227,172,166,168,166,182,188,166,166,157,143,144,156,167,175,178,181,185,192,198,205,209,211,221,221,182,205,233,204,178,177,179,176,182,185,155,148,157,153,145,157,167,175,177,180,186,193,200,205,210,211,226,255,231,150,133,136,152,183,191,187,194,190,164,155,157,154,146,158,169,175,178,181,188,195,201,206,213,215,219,255,244,170,88,60,51,75,136,187,188,185,172,172,161,146,146,158,170,177,179,181,189,195,202,208,214,216,218,255,242,164,109,100,73,43,47,147,175,167,156,140,120,102,147,159,170,177,179,181,189,197,203,209,214,219,216,255,242,139,146,148,133,96,70,79,121,109,94,78,74,65,148,160,171,177,179,181,190,198,204,210,214,220,216,255,255,151,184,180,167,162,129,87,80,76,75,70,71,69,147,160,171,178,180,184,190,197,205,209,214,220,217,246,255,161,175,192,175,150,107,83,81,79,80,73,73,69,147,160,171,177,178,182,189,198,204,209,214,218,219,229,255,168,171,246,217,135,92,76,80,80,79,73,73,70,149,161,171,178,179,183,191,199,205,210,214,220,221,231,253,144,190,253,228,127,84,77,79,79,77,73,74,74,150,162,172,179,181,185,192,199,205,211,215,220,221,233,204,171,238,240,241,130,94,86,84,76,73,75,76,76
18,178,181,184,187,189,191,194,198,200,201,204,205,206,208,209,210,210,209,211,209,209,210,211,211,211,212,213,213,180,184,185,188,190,193,197,200,203,204,206,207,208,210,210,210,211,212,214,216,210,213,214,213,214,214,214,214,182,184,186,189,192,196,198,201,205,206,207,209,210,212,214,214,213,203,179,195,222,214,213,220,215,216,217,217,183,185,188,191,195,198,199,202,206,206,210,211,212,213,210,209,234,201,160,130,182,185,164,190,225,217,219,219,183,187,191,194,196,199,201,204,206,209,211,214,215,214,181,156,203,184,131,130,106,165,164,124,195,226,219,221,186,189,191,195,198,200,205,206,209,210,213,207,223,232,175,149,187,165,119,120,104,161,183,132,132,231,220,221,189,190,193,197,200,204,207,208,212,212,218,181,162,209,198,174,195,172,153,145,128,133,161,135,119,226,223,223,190,192,195,198,202,206,207,211,212,218,232,196,167,148,203,187,172,195,188,187,178,147,120,114,123,228,225,224,191,194,196,199,203,206,209,212,213,223,226,224,201,150,152,190,150,174,206,199,198,166,114,88,124,231,226,226,192,195,198,201,204,207,210,212,216,224,193,219,199,172,119,151,163,127,177,199,193,160,123,90,124,236,225,227,193,197,200,203,207,210,213,213,216,225,161,159,186,155,103,113,152,112,114,162,184,174,142,95,139,239,225,229,194,197,200,204,208,211,213,215,217,228,182,150,173,126,93,98,128,104,89,115,193,194,158,104,132,242,226,231,195,199,201,205,208,211,213,215,217,231,211,172,162,125,96,88,120,99,78,92,187,212,172,131,102,216,234,229,196,199,203,206,209,212,214,217,219,232,203,161,146,127,100,83,126,106,64,164,217,224,194,146,99,138,242,230,198,200,204,207,211,213,216,219,219,228,221,197,162,131,107,97,109,87,147,234,231,218,189,145,117,123,238,233,199,201,204,207,211,215,218,222,220,230,228,202,164,134,118,112,104,140,226,244,238,218,177,138,113,139,243,232,199,202,207,208,211,215,218,222,221,231,231,208,173,147,134,138,139,202,240,246,225,205,169,127,103,160,245,231,201,203,207,209,212,216,218,222,223,229,231,215,188,169,160,139,150,212,239,240,208,178,151,123,98,185,246,233,200,204,206,210,213,217,219,222,222,226,228,216,196,174,163,148,149,198,241,234,198,171,139,118,102,203,245,236,199,203,208,211,214,216,220,224,225,224,226,218,199,174,168,170,147,187,240,224,185,156,130,112,111,224,242,237,198,202,208,210,212,216,219,221,225,225,222,216,203,183,189,180,147,169,239,206,174,141,123,107,127,239,239,239,199,202,206,208,212,215,220,219,223,226,220,213,206,192,184,186,154,156,226,191,158,130,117,103,147,248,237,239,199,203,207,210,212,215,221,220,222,224,222,214,208,195,183,182,160,142,208,180,139,122,116,99,168,246,235,239,202,205,209,211,212,217,221,221,223,227,226,221,216,197,180,170,150,126,188,160,124,115,116,107,209,242,238,239,201,205,209,211,214,218,219,222,224,226,220,232,215,187,166,150,122,124,164,139,123,119,105,151,246,239,240,240,201,205,208,212,215,217,220,221,225,223,219,237,209,181,162,133,125,129,156,134,123,118,111,211,242,238,239,240,201,206,208,211,215,219,220,222,226,220,225,239,214,191,174,148,136,139,156,126,128,99,154,247,238,239,239,240,201,205,207,211,214,218,219,221,224,218,226,231,220,199,186,151,129,154,146,128,117,96,199,242,235,239,239,240
19,169,172,174,174,175,177,178,177,177,179,179,178,178,178,176,175,175,174,174,173,173,172,172,172,170,170,170,169,172,173,175,175,177,178,179,179,180,180,180,180,180,178,179,169,143,158,176,175,175,174,174,173,172,171,171,170,173,174,176,178,179,179,181,181,181,181,181,182,182,179,191,165,127,107,177,177,177,176,175,174,173,172,172,172,174,176,178,180,181,181,183,183,183,182,182,183,183,183,198,168,133,90,172,179,179,178,177,177,175,173,174,174,175,178,180,181,182,183,184,184,184,184,184,185,184,188,195,162,127,85,171,179,180,179,178,178,176,175,175,176,177,179,181,182,183,186,186,185,185,185,184,185,184,192,189,148,115,84,170,177,177,174,176,194,161,175,177,177,178,180,182,184,185,187,187,187,187,187,186,186,185,192,186,154,147,156,181,172,180,179,186,211,133,171,177,178,180,181,184,187,187,187,187,187,187,188,187,191,193,192,181,177,182,193,190,172,170,171,155,139,134,177,179,179,181,183,186,187,189,190,189,189,187,194,202,210,212,203,185,165,159,150,147,131,121,120,127,150,176,180,180,180,184,186,187,188,190,191,194,195,196,208,211,210,201,188,181,177,165,107,106,131,157,169,181,184,183,183,182,181,186,187,188,190,191,197,211,205,201,198,201,200,198,196,191,187,170,108,138,185,187,186,185,186,185,184,183,182,188,188,189,190,191,206,218,209,201,201,206,207,208,201,193,185,154,101,113,188,188,187,187,185,185,185,185,182,188,189,192,193,193,205,214,198,192,200,208,209,201,192,193,193,173,100,84,182,188,188,187,186,185,186,185,183,189,190,193,194,194,206,205,192,192,195,191,191,195,202,194,193,179,101,73,153,189,188,188,188,186,186,186,185,190,192,194,195,196,211,193,195,194,186,177,199,200,192,185,181,156,96,70,126,192,191,190,189,187,187,186,186,192,193,194,196,198,206,202,206,203,204,206,206,195,187,181,167,138,88,69,108,193,193,192,190,189,188,188,187,193,195,196,198,200,200,220,213,204,203,202,191,182,175,185,194,182,109,61,136,194,193,193,192,190,189,188,188,195,195,198,200,201,198,218,215,200,192,176,151,172,202,200,188,181,119,80,185,195,195,193,193,192,191,191,189,195,197,200,200,202,199,202,209,197,191,182,189,206,198,181,166,154,104,76,183,196,196,195,194,194,193,192,191,195,198,200,201,202,202,199,207,215,207,198,199,195,180,166,148,126,89,89,190,197,196,196,196,196,194,193,191,197,199,201,203,203,204,200,204,214,201,187,188,178,162,139,106,82,93,166,198,198,197,197,197,196,196,195,194,199,201,202,203,205,206,196,204,205,194,176,168,147,123,94,68,62,159,200,200,199,198,198,198,196,196,195,195,199,202,203,205,206,206,198,201,199,186,165,151,132,106,80,74,101,199,202,201,201,200,200,199,197,196,195,195,199,201,204,206,207,207,198,193,194,181,157,145,138,103,79,76,114,205,203,203,202,202,202,201,200,198,197,196,199,202,204,207,208,208,198,188,184,179,153,134,110,89,80,77,85,200,204,203,203,202,202,201,201,199,197,196,199,201,203,205,207,207,196,187,177,178,163,143,112,91,82,76,82,197,203,202,202,201,201,200,200,197,195,194,200,202,203,205,206,207,189,190,182,174,160,144,113,92,82,77,91,200,203,203,202,201,201,200,199,198,196,195,200,202,204,206,207,209,184,198,199,187,156,127,102,85,79,74,131,203,204,203,203,201,201,202,200,199,196,196
13,161,165,167,168,170,172,174,175,175,176,177,178,178,178,177,178,177,176,176,175,173,172,171,171,171,168,167,165,163,165,167,169,171,173,174,176,176,178,179,179,180,180,180,180,179,179,178,177,175,175,174,173,172,170,169,167,164,166,169,170,171,174,176,177,179,180,181,181,181,181,180,181,181,181,181,180,178,178,176,176,174,172,171,170,165,168,171,171,172,174,178,179,181,182,182,183,184,184,183,181,182,185,184,180,180,180,179,177,175,175,173,172,165,169,171,172,174,176,179,181,181,183,182,185,186,178,181,188,183,180,184,185,180,181,180,179,178,177,174,172,166,170,172,172,175,178,180,181,183,184,184,186,175,141,114,166,178,136,111,159,189,181,181,180,179,178,176,174,167,171,173,173,177,179,181,182,183,185,184,190,184,151,121,100,141,135,90,87,189,183,183,182,181,179,177,175,169,172,173,174,178,180,183,184,184,187,187,190,201,163,141,84,111,144,110,64,166,191,185,184,183,181,178,177,170,173,174,175,178,181,183,186,186,188,188,187,197,167,131,84,89,135,108,57,151,194,184,185,185,183,181,180,170,174,175,177,179,181,183,187,188,189,193,195,189,166,126,90,72,106,91,52,148,195,184,185,184,183,181,180,170,175,176,178,180,183,186,188,188,184,156,170,168,162,128,102,71,107,98,56,166,195,187,187,185,183,182,181,170,174,176,179,181,185,187,188,191,167,115,98,105,148,167,127,81,113,115,60,163,198,188,187,187,186,183,182,171,175,177,180,181,185,189,189,201,163,122,110,80,131,190,140,83,95,107,54,105,202,187,188,188,187,185,184,172,177,178,180,183,185,186,174,138,153,141,129,90,59,138,107,75,87,84,74,66,164,199,187,188,187,186,184,172,176,179,181,184,181,194,161,103,104,158,132,115,54,32,42,58,92,92,98,84,98,200,190,189,187,187,186,173,177,179,181,182,196,197,143,120,97,132,141,114,89,32,54,71,78,120,119,108,67,168,198,189,189,188,186,173,177,181,182,185,198,159,149,135,119,96,137,120,102,49,55,118,126,131,120,108,65,146,202,189,189,188,187,173,178,181,183,186,204,160,135,133,117,95,111,113,81,51,59,142,158,153,111,95,66,162,201,189,189,187,187,174,178,181,183,189,195,160,116,108,106,82,56,85,73,63,78,158,155,147,119,83,69,187,197,192,190,189,188,175,178,182,183,187,189,178,154,113,81,58,41,73,96,79,126,177,151,139,113,68,90,203,194,195,192,190,188,176,180,183,182,185,189,186,166,136,113,98,94,96,106,115,180,173,143,124,108,59,121,209,195,195,192,191,189,177,181,182,184,187,186,181,172,150,133,111,108,126,164,176,178,159,136,115,99,56,153,207,195,196,193,191,189,177,181,181,185,187,189,178,160,146,127,108,110,121,177,174,162,145,125,107,84,59,182,202,195,195,194,192,189,177,182,183,185,187,191,171,150,147,128,115,117,117,161,168,158,136,114,97,71,76,203,197,197,195,194,192,191,178,182,183,186,187,193,182,156,147,132,125,121,119,156,164,153,129,101,89,48,123,211,197,197,196,194,192,191,178,181,181,184,187,191,196,164,146,142,129,115,110,138,152,138,112,86,68,58,189,202,198,197,196,193,192,192,177,181,182,184,187,190,195,188,156,140,123,114,107,121,137,127,100,84,49,118,213,197,199,197,195,193,193,194,175,179,181,183,187,190,191,195,176,143,124,112,111,115,129,124,99,82,53,169,206,197,197,195,194,193,191,191
4,154,158,164,167,171,173,176,177,180,181,180,183,185,187,188,187,186,185,187,185,185,186,184,184,183,183,183,183,154,160,165,169,171,172,174,178,180,182,183,185,186,186,187,190,190,185,191,190,187,186,185,185,185,185,185,184,156,162,166,169,172,173,176,179,180,184,184,186,185,198,195,168,173,204,179,174,192,189,187,188,187,186,184,184,158,164,167,170,174,176,178,181,182,180,192,182,190,233,191,165,147,224,176,136,159,195,191,191,189,188,185,185,160,165,167,172,174,177,180,183,179,208,241,202,169,235,201,160,175,230,181,129,119,190,151,186,192,188,187,187,162,166,169,174,176,179,181,184,178,239,255,234,143,191,224,146,190,237,178,117,186,180,111,122,196,186,186,187,161,167,173,174,179,181,183,181,196,243,244,219,133,173,226,143,191,221,162,174,206,140,108,77,172,194,187,188,164,169,174,176,180,182,185,177,222,225,222,205,117,151,195,197,193,203,231,249,186,106,88,76,171,196,189,190,164,169,174,178,181,183,186,179,237,216,203,206,116,118,180,192,220,234,247,227,195,135,80,72,184,195,191,193,164,170,176,179,181,186,183,201,251,214,177,201,122,93,175,114,154,200,208,191,207,158,92,83,194,195,193,193,165,170,174,178,181,187,180,231,236,183,165,145,93,99,180,90,131,186,153,192,219,174,104,114,203,195,194,194,167,172,176,181,183,185,186,251,221,168,146,140,110,114,137,99,125,180,80,201,242,194,124,114,206,194,196,194,169,172,177,181,184,184,194,255,222,168,137,121,105,118,112,125,133,155,133,199,254,211,147,87,181,202,196,196,169,173,179,181,187,183,208,255,221,169,132,114,108,124,123,171,168,197,230,210,227,204,152,94,136,209,195,198,169,174,179,182,188,182,224,255,221,161,133,130,118,111,127,178,195,232,221,222,186,172,163,110,126,210,197,199,169,175,180,183,189,181,235,255,220,158,157,154,122,118,171,222,237,230,220,203,165,135,148,102,157,209,200,200,168,173,177,182,187,181,242,255,217,181,195,164,143,201,243,255,235,228,211,179,147,120,108,103,195,201,199,199,168,173,178,181,187,183,247,255,234,218,213,167,175,246,252,255,239,210,191,162,137,113,86,154,210,198,200,200,169,174,179,182,189,183,246,255,251,224,211,187,180,251,255,255,229,184,173,151,133,98,106,203,202,201,202,202,169,174,179,183,189,183,237,255,254,229,205,191,194,255,252,234,209,170,152,142,120,85,164,211,203,202,202,202,170,177,180,184,190,182,223,255,242,228,207,193,200,237,229,205,182,157,149,135,93,112,209,205,207,203,203,202,171,176,180,184,190,184,222,255,225,219,216,198,197,214,211,189,161,148,147,118,85,179,211,202,204,204,202,201,170,173,180,183,190,184,216,244,210,217,218,193,185,213,208,185,149,134,134,94,139,213,204,204,202,202,201,199,170,177,183,186,192,189,211,239,211,215,208,188,173,210,210,167,128,122,112,118,208,211,210,210,209,208,208,206,138,140,141,141,145,138,170,253,225,222,203,193,168,198,200,146,117,115,98,120,147,140,140,140,138,137,138,141,94,92,90,91,94,85,119,255,243,231,213,204,170,186,199,144,113,101,96,86,83,82,82,80,80,81,79,74,104,104,102,105,107,104,113,254,252,227,213,209,168,166,205,151,108,94,91,95,96,96,94,93,93,91,88,170,104,105,104,105,106,105,100,238,252,221,201,204,171,152,195,147,103,92,89,96,97,97,93,93,96,81,176,249
10,40,51,61,78,100,109,117,122,124,126,127,129,130,130,130,132,133,132,131,130,128,127,126,124,122,121,118,116,41,52,63,80,101,111,118,122,125,127,128,131,132,133,133,133,133,132,132,131,129,131,127,125,124,122,119,117,43,53,64,82,102,113,120,123,126,129,130,132,133,134,136,136,136,135,133,133,133,120,126,128,125,123,121,118,44,54,66,83,104,114,121,125,129,131,132,134,136,136,138,138,138,138,137,135,142,86,87,136,125,125,123,121,47,55,66,86,106,116,122,128,130,132,135,137,138,139,139,140,140,140,139,137,146,89,69,137,128,128,124,123,48,57,68,88,107,117,125,130,131,134,137,139,139,141,143,143,143,143,142,140,146,87,65,137,131,130,129,126,49,59,70,89,110,119,127,132,133,135,139,141,143,144,146,147,146,144,145,144,152,92,66,141,135,134,131,129,51,60,71,91,111,120,128,132,133,137,141,144,145,146,147,147,147,147,146,148,133,91,67,143,138,137,134,132,52,62,72,93,112,122,128,134,136,139,144,146,147,147,149,149,150,151,152,156,72,65,65,145,140,138,137,134,52,62,72,95,113,122,130,135,137,140,145,146,147,151,151,151,152,147,136,132,65,38,70,148,141,140,137,135,53,62,73,95,113,124,131,136,138,142,146,147,149,152,154,157,159,145,116,65,53,24,78,155,143,142,140,138,54,63,74,96,113,125,132,137,141,143,147,150,151,153,151,130,143,140,93,37,30,38,57,153,145,144,141,139,57,64,75,99,114,126,133,138,140,145,149,152,155,161,145,98,69,47,28,34,54,40,35,147,147,145,144,139,58,66,76,100,115,127,134,139,142,145,150,154,144,136,157,127,66,0,3,28,111,62,31,142,150,146,144,141,59,67,78,101,115,127,135,140,143,146,150,157,138,97,108,144,90,20,11,28,125,93,33,135,154,147,146,143,58,68,78,100,115,128,135,140,143,148,152,158,153,137,89,125,99,42,3,45,126,103,32,117,160,148,147,145,59,68,78,101,116,128,136,142,144,149,153,156,122,132,86,83,100,50,11,90,127,99,29,99,163,148,148,146,60,68,80,103,118,128,136,143,145,149,152,163,128,88,79,51,110,99,51,124,115,74,27,108,162,149,149,146,59,68,82,104,118,129,136,143,146,150,154,159,139,97,73,71,103,114,61,122,103,54,24,127,161,151,150,147,60,69,81,104,118,129,137,143,146,151,155,159,164,126,84,69,71,106,98,118,91,50,20,138,162,152,152,149,60,69,82,105,118,129,137,144,146,151,154,156,164,142,110,84,81,149,148,110,81,45,26,151,160,154,152,149,60,70,83,105,118,129,138,144,147,152,156,158,148,139,121,104,94,142,137,98,71,36,38,163,159,156,153,151,60,69,83,105,117,129,138,144,147,152,155,161,144,137,127,114,97,133,128,86,60,19,59,171,157,157,155,153,59,66,82,105,118,129,138,144,147,151,155,159,156,134,129,112,91,111,107,72,49,8,102,171,157,156,154,151,57,66,80,102,115,127,137,142,145,149,153,156,161,146,124,105,87,90,98,73,41,25,149,162,157,154,152,149,57,64,78,101,114,127,137,142,145,150,153,156,160,160,131,106,102,92,101,82,30,60,170,157,155,153,151,149,57,63,78,100,112,126,135,142,144,149,152,157,160,158,141,124,119,100,98,72,25,90,171,156,155,152,150,149,54,61,78,100,111,124,134,140,142,147,151,154,158,149,153,135,121,99,80,61,21,97,169,154,154,152,149,147
5,161,166,168,171,175,179,183,186,188,190,190,192,195,195,196,197,197,197,196,196,196,195,195,195,194,193,193,192,161,166,169,171,176,181,185,187,187,198,195,165,197,196,198,198,199,199,199,199,198,196,196,196,195,194,194,194,163,168,171,173,178,182,186,189,184,216,191,154,197,198,198,199,199,199,199,200,198,198,197,198,197,195,195,194,163,169,171,174,179,183,186,187,192,231,158,171,202,198,199,200,200,200,200,197,199,197,198,198,198,197,196,195,164,169,172,173,179,184,189,184,214,231,144,188,202,200,201,202,202,199,200,209,220,164,183,203,198,198,196,196,165,171,170,185,181,180,191,183,231,221,151,197,201,201,202,204,200,205,230,218,185,155,192,203,199,199,197,196,166,172,165,214,190,154,195,187,242,205,156,201,202,203,205,202,210,244,221,161,161,197,203,201,201,200,198,197,166,174,166,218,184,151,195,192,249,190,158,206,203,204,202,211,243,225,170,156,200,206,203,201,201,201,200,199,168,174,170,231,173,160,194,201,248,180,153,207,203,203,211,239,213,165,162,204,208,204,204,203,202,202,201,199,169,175,172,230,180,154,194,205,240,191,148,201,205,205,233,222,158,153,204,209,206,205,205,204,203,203,202,200,168,177,171,221,204,148,194,201,238,194,142,197,209,214,224,185,145,189,214,206,208,207,207,205,206,205,204,202,170,177,173,206,225,153,165,198,231,193,132,180,206,196,183,156,169,210,206,207,209,209,207,206,202,203,205,203,172,177,175,193,229,192,176,166,209,211,158,142,159,162,151,157,201,202,227,232,229,225,219,209,161,179,214,202,173,177,180,185,204,214,208,185,184,200,164,143,144,150,149,174,190,211,206,195,204,219,209,194,170,148,194,209,173,178,180,185,188,196,212,223,226,205,166,140,140,143,159,163,164,180,153,147,215,225,192,170,158,152,192,210,174,178,179,185,193,192,196,229,247,227,178,140,141,141,149,157,151,136,162,208,235,196,155,166,198,209,210,207,175,179,181,186,192,198,198,213,243,237,190,145,138,136,141,149,135,169,222,216,213,161,151,211,216,211,210,209,176,180,182,188,193,197,202,201,233,246,209,158,136,137,135,133,125,173,199,204,212,156,178,220,211,211,212,210,177,180,182,189,193,198,203,201,227,250,223,178,141,133,131,138,150,170,177,199,203,152,194,219,213,213,212,210,176,180,182,188,193,196,201,202,214,254,235,199,153,132,133,141,151,178,192,188,190,152,200,219,213,214,213,211,175,180,181,187,193,197,201,202,211,255,245,217,171,136,134,140,161,189,191,172,165,145,204,218,214,213,212,211,175,180,182,187,194,199,204,204,211,254,247,226,187,145,132,146,172,192,185,158,146,166,218,216,216,213,212,212,177,182,182,188,194,198,202,204,209,249,249,228,202,160,137,140,176,186,179,150,147,212,220,217,216,214,213,213,176,181,182,187,193,199,202,205,207,237,250,231,213,177,150,137,166,180,168,144,158,221,216,216,216,214,212,212,174,180,183,188,194,200,204,210,209,231,245,240,222,197,164,144,147,168,158,141,189,228,220,221,221,218,217,218,169,172,175,178,180,184,186,190,185,224,252,249,230,203,168,151,145,156,148,146,186,193,189,190,190,189,190,182,143,143,143,144,143,142,142,145,133,211,255,248,227,191,164,154,147,148,148,143,135,135,133,134,134,131,129,171,147,148,148,148,148,146,148,152,139,208,255,240,209,169,156,150,148,150,147,142,142,141,140,141,138,143,206,238
18,153,156,159,161,164,166,169,172,174,176,178,180,181,183,184,184,184,184,186,185,184,185,186,186,186,187,187,187,155,158,160,162,165,168,171,174,177,178,180,181,183,184,184,185,186,186,186,188,187,188,188,188,189,189,189,189,156,158,161,164,167,170,172,175,179,180,182,183,185,186,188,188,188,177,158,167,189,187,185,190,191,190,192,191,158,160,163,165,169,172,174,177,180,181,184,186,187,187,183,182,200,173,136,113,151,158,145,163,193,193,193,193,158,161,165,168,171,173,175,179,181,183,186,188,190,188,157,140,174,154,110,102,91,137,137,112,165,196,195,195,161,163,165,169,173,175,179,181,184,185,186,182,192,198,153,132,160,139,101,95,85,132,147,112,117,196,196,196,163,165,168,171,175,178,181,183,186,187,191,160,146,177,169,152,163,147,129,120,106,112,130,110,102,193,198,197,164,167,170,173,177,180,182,185,187,193,202,172,145,132,169,161,149,165,162,159,149,122,98,91,103,195,200,199,165,168,171,174,177,180,184,186,188,197,198,195,170,131,131,155,132,147,174,173,169,137,91,70,102,198,201,200,167,170,172,176,179,181,185,187,190,196,171,187,172,142,101,124,132,109,148,169,166,136,97,71,104,201,201,202,168,171,174,177,181,185,187,188,191,194,145,140,155,127,83,91,119,90,95,134,157,147,114,78,115,205,202,203,169,172,175,179,182,186,188,190,192,198,159,131,142,103,72,74,98,80,67,94,162,165,131,88,110,204,203,205,170,173,176,180,182,186,188,190,193,203,181,146,134,99,73,66,91,75,54,79,160,181,147,106,88,181,206,205,171,174,178,180,183,186,189,192,194,204,178,141,122,99,77,63,92,78,55,135,187,195,165,119,83,121,207,207,172,175,179,182,185,188,191,194,194,202,194,169,136,106,83,74,81,73,124,197,205,192,162,120,94,106,205,208,174,176,179,182,185,189,192,195,195,204,200,175,139,110,94,87,84,119,191,216,211,190,152,112,92,118,208,208,174,176,181,183,186,189,192,196,196,205,203,182,149,123,111,111,115,171,211,219,199,177,142,102,85,136,211,208,175,178,181,183,187,190,193,196,198,203,204,188,162,143,131,116,127,182,212,213,184,155,126,96,82,158,213,210,174,178,181,184,187,191,194,196,197,201,201,190,170,149,137,124,128,172,212,207,173,144,114,92,86,175,214,212,174,177,182,185,188,191,194,198,199,199,200,192,173,151,143,142,127,161,210,197,160,131,105,88,93,192,214,213,173,177,182,185,187,190,194,195,199,199,197,190,177,160,160,152,127,146,206,181,148,117,97,85,107,205,214,214,174,177,180,183,187,190,194,194,198,200,195,187,180,167,160,157,132,134,193,166,133,106,90,83,124,213,213,214,174,178,181,184,187,190,195,195,197,199,197,189,183,169,158,154,134,122,175,153,116,97,88,82,145,213,212,213,176,179,183,185,187,191,195,196,198,201,199,196,189,171,154,143,123,107,156,133,102,91,88,92,179,213,213,214,176,179,183,186,188,192,194,197,199,200,196,204,188,162,141,124,101,102,135,114,99,91,86,130,210,215,214,214,176,179,182,186,189,192,194,196,199,198,195,208,185,158,137,111,101,106,127,108,99,91,95,179,213,213,214,214,176,180,182,186,190,193,194,197,199,196,200,210,189,166,147,123,111,114,127,103,98,82,131,210,214,213,214,215,176,180,182,185,189,192,194,196,198,193,201,205,194,173,158,127,108,125,120,103,91,80,167,212,211,214,214,214
24,164,164,166,166,166,167,168,169,168,169,169,169,168,168,169,168,167,166,165,164,164,163,162,160,159,158,157,156,167,168,169,169,170,171,171,171,172,172,172,171,171,171,171,170,170,169,168,167,166,165,163,165,164,160,160,159,169,171,171,172,173,173,173,175,175,175,175,173,172,174,175,173,173,172,171,170,170,169,166,156,158,166,163,162,172,173,174,174,176,176,177,178,177,177,176,176,177,176,176,176,175,175,173,172,171,170,173,148,107,167,165,164,174,176,177,177,177,178,178,177,178,180,180,178,178,177,177,177,177,177,176,175,174,171,178,151,92,161,168,166,176,178,178,178,179,181,181,181,182,178,176,183,179,180,180,180,179,178,178,177,177,173,184,150,94,164,172,168,178,179,180,180,182,183,183,183,185,174,118,169,188,183,185,183,183,181,180,179,179,177,187,139,99,172,173,171,181,182,183,185,185,184,184,185,188,165,110,119,193,184,187,186,185,184,183,183,180,182,192,137,107,180,174,173,183,184,186,186,186,186,186,186,190,176,135,94,180,189,186,188,187,186,185,184,179,188,184,121,116,185,175,174,186,186,187,187,188,189,189,189,189,188,154,91,155,197,186,188,189,189,185,187,186,201,171,97,130,188,176,178,188,188,190,190,190,190,190,190,190,193,169,109,120,200,189,191,189,185,192,184,146,153,173,92,157,187,179,179,189,190,191,191,191,191,191,191,191,193,180,137,93,186,196,190,167,140,157,168,129,82,120,104,180,185,183,181,191,191,192,193,193,193,194,194,193,195,187,150,86,147,206,177,168,153,133,129,126,125,84,102,191,184,184,183,191,193,194,194,195,195,196,196,196,196,193,162,120,111,200,167,179,151,144,139,147,152,73,116,199,183,185,184,194,195,195,196,196,197,197,197,197,196,198,179,154,92,144,141,180,167,131,135,137,135,87,122,200,185,186,185,195,195,197,197,197,198,199,199,198,197,200,191,157,118,123,127,157,181,117,70,116,162,114,88,193,189,189,186,195,196,197,198,199,199,199,199,199,200,202,194,178,172,128,102,122,169,109,58,90,165,138,80,145,199,187,187,197,198,200,201,201,201,201,201,201,201,203,195,188,169,110,83,111,150,92,56,113,181,172,112,84,193,190,189,199,200,201,202,202,202,203,203,203,203,203,201,189,159,132,115,117,147,108,81,183,187,168,116,77,184,193,190,200,202,203,203,203,204,204,204,205,205,205,205,190,179,168,128,114,149,111,152,198,175,154,92,85,195,191,191,200,201,203,204,204,205,206,205,205,205,205,207,188,181,183,138,124,102,142,201,195,163,143,84,102,205,191,192,198,200,203,202,203,205,204,204,205,205,205,207,191,176,184,156,137,100,181,198,185,160,134,79,123,206,192,192,200,201,202,203,204,205,204,204,205,206,206,208,194,174,170,162,148,106,164,193,177,150,124,68,139,205,191,191,202,201,202,204,205,205,205,206,206,207,206,209,199,169,170,169,162,122,150,195,175,139,107,63,168,203,194,193,202,202,203,204,205,206,206,207,207,207,209,209,207,179,174,166,171,137,124,183,158,120,81,75,198,196,195,194,209,209,209,209,210,210,211,211,210,210,211,210,214,190,179,172,168,139,105,152,132,99,56,105,209,193,194,196,167,170,175,178,183,186,189,193,195,198,202,203,207,192,181,170,156,134,114,118,129,90,56,171,209,200,202,192,106,105,105,107,108,109,111,115,116,117,120,122,118,158,191,166,156,152,129,117,132,79,72,154,157,155,140,104
3,138,142,146,149,152,154,157,158,159,158,159,158,156,157,156,156,153,151,153,148,147,147,145,142,140,138,135,133,142,146,149,152,156,158,160,162,163,163,162,161,160,160,159,157,166,154,129,155,149,149,148,146,142,140,139,136,144,149,153,155,159,162,164,164,165,165,165,165,164,163,162,156,186,157,66,146,156,152,150,149,146,143,141,139,147,151,155,158,161,164,166,167,168,167,166,167,167,166,166,160,185,156,58,124,164,154,153,151,149,147,143,140,150,154,158,161,164,166,169,171,171,169,169,169,169,169,169,162,183,159,64,118,168,155,157,155,152,148,146,144,152,156,159,163,167,169,171,174,175,172,172,172,173,171,169,164,185,192,89,105,170,160,159,156,154,150,148,145,153,158,162,164,169,172,174,177,177,177,176,175,176,174,173,166,191,203,94,84,170,162,160,159,156,153,150,147,155,160,165,169,173,176,177,178,179,179,179,179,178,177,177,171,194,194,86,75,169,163,163,161,158,155,152,149,158,163,168,172,176,178,180,181,182,181,181,180,180,180,179,171,204,203,96,77,171,166,165,164,160,156,154,150,161,166,171,175,179,181,183,184,185,185,185,184,182,181,178,175,169,161,94,72,171,169,168,166,162,159,156,154,164,170,175,178,180,184,186,188,188,188,188,186,184,180,195,201,108,59,45,65,179,169,170,168,164,161,158,155,166,172,178,180,184,187,189,190,191,191,190,192,201,182,123,137,172,107,24,96,193,178,172,169,167,164,160,156,169,176,180,183,187,190,193,193,195,191,197,154,177,183,92,55,204,120,69,72,116,144,175,171,168,166,162,158,171,178,182,187,189,192,195,198,196,203,212,138,77,160,136,70,151,123,93,70,103,75,139,181,168,166,165,160,174,180,185,188,191,194,196,197,201,228,207,179,105,119,153,65,93,144,124,92,111,52,115,187,171,170,165,163,178,183,188,191,193,197,200,197,219,208,197,194,117,82,132,62,88,101,68,93,85,38,108,191,173,172,167,164,179,185,189,194,196,198,202,199,235,217,166,173,120,58,106,59,92,164,51,111,125,45,95,193,175,175,170,168,180,187,190,196,198,200,204,204,215,192,144,156,90,39,103,38,88,211,71,84,142,51,62,190,177,176,172,168,182,188,193,197,199,204,206,205,212,221,190,152,84,68,97,60,56,140,80,88,107,44,54,187,180,179,175,172,183,190,194,197,202,204,207,207,223,229,209,155,89,70,111,92,141,189,140,116,71,25,117,197,181,181,178,175,182,190,195,198,203,204,209,207,220,235,220,163,109,82,90,167,199,166,112,87,63,35,183,189,185,182,179,178,180,188,194,199,203,204,207,208,214,231,213,159,153,95,125,217,180,128,98,80,50,92,203,183,185,181,178,176,181,190,197,199,205,208,210,209,216,221,205,175,160,116,118,171,157,113,92,65,38,165,197,186,186,182,177,174,183,192,197,202,206,209,209,225,99,162,210,178,157,125,88,116,111,88,66,39,127,205,191,189,185,183,186,187,183,190,196,202,204,206,214,201,24,43,165,173,157,99,63,62,69,69,41,122,206,193,199,202,202,191,153,91,189,198,203,207,210,212,231,125,23,26,37,94,106,52,49,44,51,30,23,202,211,205,176,132,112,70,18,0,129,131,136,138,138,139,137,55,32,27,16,11,22,49,47,24,19,0,0,49,104,62,12,0,0,0,0,0,87,88,89,90,88,89,62,33,42,19,18,12,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,125,133,138,139,143,149,154,157,160,161,164,166,168,170,171,173,173,174,175,175,174,175,175,174,173,173,172,171,126,133,138,140,144,150,155,158,161,163,165,167,170,172,172,173,175,176,176,177,176,177,178,176,175,174,173,172,128,134,139,141,145,151,155,158,162,164,166,168,171,172,174,175,176,177,178,178,178,177,178,177,176,176,175,173,128,135,138,141,145,151,155,159,163,165,167,169,172,174,175,177,177,178,179,179,178,179,179,179,178,178,177,175,130,136,139,142,147,152,156,159,163,166,169,171,173,175,177,178,178,179,179,179,180,180,180,180,180,179,178,176,131,137,141,144,148,153,157,161,164,166,170,172,175,177,178,179,179,181,181,181,181,181,180,181,181,180,179,177,133,139,143,145,149,154,158,162,165,168,172,173,176,178,180,182,181,183,183,184,183,182,182,182,182,181,180,178,133,139,143,146,150,155,159,165,166,169,172,174,174,178,179,180,182,183,183,183,184,183,183,183,183,182,182,180,132,140,144,146,151,161,180,182,172,174,181,183,182,179,172,168,176,173,174,175,178,184,185,185,184,184,183,182,133,141,144,151,175,195,198,189,170,164,176,187,191,187,172,171,187,176,164,156,145,165,172,185,186,185,184,184,135,144,167,192,198,197,199,188,164,157,165,176,180,178,161,159,172,163,157,150,143,155,144,183,188,187,186,186,159,189,199,199,198,200,197,178,157,154,165,184,190,193,179,175,170,166,175,168,155,151,154,165,176,185,187,186,201,202,202,206,200,201,202,185,138,127,131,153,156,159,164,168,167,169,175,176,167,162,165,154,165,163,185,186,207,207,205,206,202,206,208,177,126,107,112,103,92,109,125,139,141,144,145,149,152,151,153,147,157,150,186,188,210,208,206,207,206,207,201,152,113,105,107,109,90,73,86,173,179,182,180,177,173,167,166,163,165,177,188,188,207,206,203,205,204,206,191,142,101,101,113,115,109,98,95,183,189,190,190,191,191,190,191,190,189,189,189,188,210,209,207,209,210,213,193,133,98,85,82,109,128,108,93,167,190,190,191,191,191,190,189,190,189,189,189,187,207,206,202,198,198,197,161,125,101,95,77,86,114,115,114,175,190,191,192,192,193,192,192,192,190,190,190,189,195,193,183,177,180,167,139,120,111,101,92,89,121,145,166,187,190,191,192,193,193,194,193,193,191,191,190,190,180,172,167,162,162,144,121,115,110,110,99,99,170,186,188,189,190,192,192,193,194,195,193,193,193,193,191,191,154,154,145,134,127,125,138,145,128,125,128,146,183,186,187,190,192,193,193,193,193,193,194,193,192,192,192,190,125,122,115,115,130,150,161,166,168,169,172,176,180,181,183,185,186,188,188,188,188,188,189,188,186,186,186,185,102,98,99,116,123,122,123,124,124,124,124,124,125,126,128,126,127,128,129,127,125,125,124,123,121,120,120,118,81,96,102,102,106,104,102,101,100,101,101,101,102,103,101,99,99,100,101,101,102,101,101,99,97,96,96,94,95,101,105,105,106,107,106,105,106,106,107,106,106,105,104,107,107,104,104,103,103,103,102,100,98,99,98,96,98,101,106,107,107,108,106,104,106,106,106,105,105,104,104,109,110,108,109,104,102,102,101,101,100,100,100,127,99,97,107,107,108,107,106,106,107,107,106,106,107,106,105,105,104,104,106,103,102,101,101,101,100,113,158,180,97,93,103,108,109,109,109,108,108,109,108,108,108,108,108,106,104,104,104,103,104,102,100,100,106,175,169,163
2,143,145,146,148,151,153,153,153,154,153,153,154,153,153,151,146,146,148,146,148,146,145,144,144,143,142,140,138,145,147,149,151,153,154,154,155,155,155,153,155,154,149,154,170,182,172,151,142,144,147,148,146,145,144,143,141,146,147,149,154,154,154,155,156,156,156,157,153,156,176,201,205,189,178,177,125,100,97,125,147,145,145,144,142,148,149,151,153,155,156,156,156,157,158,154,166,213,199,200,199,170,136,124,91,62,64,56,128,151,146,144,145,150,152,154,154,156,158,159,159,158,161,150,203,211,193,200,158,109,78,73,64,61,64,45,108,155,145,146,147,151,152,155,156,157,158,160,161,160,158,161,223,209,195,143,94,56,47,54,53,63,64,88,141,152,148,148,147,152,154,155,157,160,161,161,163,162,154,180,232,205,133,76,57,43,57,61,102,141,140,152,154,153,150,148,149,153,155,156,160,160,161,163,164,166,155,192,228,178,93,48,54,53,61,120,160,159,158,155,153,152,152,151,150,155,156,159,161,160,163,163,164,167,159,218,213,134,62,38,47,49,67,163,156,155,155,155,154,153,152,152,151,156,159,160,161,163,164,164,167,160,184,230,161,82,38,37,32,47,73,160,158,158,158,156,155,155,154,152,151,156,158,160,162,164,166,166,166,167,226,201,121,65,49,54,44,35,92,168,158,160,159,157,156,156,155,153,153,156,159,162,164,166,166,169,161,210,236,175,113,77,67,64,60,44,112,171,159,161,160,158,157,157,156,154,154,159,161,163,165,168,169,169,171,244,223,158,101,72,76,66,65,53,120,172,160,162,161,159,157,159,158,154,153,161,163,164,167,169,170,165,191,251,203,134,88,75,75,64,68,59,124,173,162,163,162,162,160,159,161,160,155,162,164,165,169,170,174,163,216,246,187,120,80,71,67,63,69,61,131,174,164,164,164,164,164,162,151,138,149,163,164,167,170,172,173,170,244,233,172,115,78,66,67,67,70,54,129,176,165,166,164,166,161,142,141,100,105,164,166,169,171,176,166,200,255,213,161,107,74,63,64,62,62,48,97,180,167,168,168,164,138,148,126,84,147,167,168,171,173,177,169,236,245,200,152,103,69,60,58,57,65,57,61,170,171,169,171,132,134,144,82,123,167,168,170,172,176,170,191,255,229,189,143,96,67,57,53,60,69,69,50,119,185,169,127,119,142,103,81,162,161,169,171,172,178,170,217,250,217,177,135,93,65,55,56,62,66,71,64,60,106,118,115,131,121,81,104,170,161,170,172,173,177,174,236,239,205,174,133,90,66,54,64,64,60,65,67,62,65,107,140,128,97,91,150,167,162,171,173,176,175,187,242,226,201,173,127,93,72,59,73,71,69,75,76,72,90,128,137,114,97,154,170,165,164,172,174,178,173,214,241,221,208,178,134,106,78,65,83,86,91,89,89,81,94,129,109,101,158,175,170,166,164,172,175,177,177,238,241,224,208,181,143,112,83,72,91,100,105,91,87,85,92,97,107,166,174,171,172,167,165,174,177,175,191,245,236,222,204,166,128,109,89,78,94,104,105,94,87,80,83,107,169,178,174,172,170,170,167,174,180,168,212,238,228,216,183,138,106,96,89,87,99,101,97,93,76,107,156,175,178,174,173,172,172,169,165,176,174,195,239,224,210,185,144,108,100,95,86,89,92,91,89,78,117,179,182,177,177,176,172,172,172,169,165,174,182,244,225,203,189,162,113,102,103,97,92,90,84,83,91,138,184,182,178,178,178,175,174,174,172,170,168
1,139,141,144,146,148,149,149,151,152,152,153,152,153,155,153,153,153,153,153,154,154,154,154,153,153,153,152,151,142,144,146,149,151,152,153,154,154,155,155,159,149,144,157,154,156,156,156,155,156,156,156,155,155,154,154,154,144,147,149,151,153,154,154,155,156,157,152,167,155,102,162,163,159,159,158,158,158,159,159,159,158,157,156,156,147,149,151,154,156,157,157,158,157,173,157,131,165,93,137,144,163,162,161,161,161,161,162,161,160,160,159,159,149,152,153,157,158,159,160,163,158,179,158,113,166,95,102,109,137,170,162,163,164,163,164,163,162,163,162,160,150,153,156,159,161,161,162,164,162,180,164,115,168,116,106,126,105,174,164,165,166,166,166,164,164,163,164,163,152,155,159,160,162,165,165,168,159,172,180,114,164,139,99,137,96,159,169,168,168,167,168,168,167,166,165,165,155,158,161,163,164,166,165,174,168,121,185,122,143,148,103,148,117,138,177,169,170,170,170,170,169,169,168,166,158,160,163,165,167,169,167,180,171,102,180,132,125,155,116,159,148,116,174,171,171,172,171,171,170,170,169,168,160,163,165,166,169,171,168,180,173,106,176,140,127,171,133,137,167,112,158,179,174,174,173,172,172,171,171,169,162,164,166,167,170,172,170,182,183,113,176,168,124,173,142,119,179,133,134,183,174,176,176,175,174,173,173,171,163,165,168,169,172,174,172,184,184,112,165,179,115,144,146,107,182,155,118,178,178,178,177,177,176,175,175,174,165,167,169,172,175,176,173,183,185,130,133,174,93,126,157,97,164,166,115,163,184,178,179,179,178,178,177,175,167,169,171,174,175,177,176,184,191,145,102,169,140,145,150,155,171,139,116,141,189,179,180,180,179,179,178,176,168,170,172,175,176,178,178,185,192,133,109,154,183,150,138,184,166,127,127,108,183,182,182,181,180,180,179,178,168,170,173,175,177,180,179,185,188,156,166,129,159,153,156,190,147,125,134,101,155,190,183,182,181,181,180,180,168,171,174,176,178,181,180,186,190,174,166,128,130,166,193,186,172,147,117,102,124,192,184,185,183,182,182,181,168,173,175,177,179,182,180,191,192,157,151,130,149,188,190,156,166,184,159,118,98,187,187,186,185,184,184,183,170,173,176,179,180,182,180,193,199,152,135,147,168,153,140,108,153,201,189,160,109,167,192,186,186,186,186,184,170,173,176,178,181,181,181,191,209,166,132,134,123,121,116,160,176,184,185,156,121,129,196,187,188,187,186,184,170,173,175,176,180,181,181,185,207,185,131,140,145,162,189,204,197,183,172,145,102,126,196,186,187,187,186,186,170,173,175,177,180,181,181,184,203,202,146,145,157,164,202,203,200,183,162,140,93,132,197,185,187,187,187,185,171,174,176,178,180,181,183,182,200,213,168,150,166,156,198,211,204,183,155,133,90,144,197,187,189,188,187,186,171,174,175,178,180,181,182,182,194,211,185,158,183,150,187,213,204,178,147,123,89,156,197,188,190,188,187,187,171,174,175,177,180,181,183,184,185,202,195,171,189,155,169,211,194,167,142,116,87,162,197,188,190,189,187,186,171,176,179,181,184,186,187,190,188,195,199,187,181,165,146,202,190,164,135,110,86,174,199,191,190,189,189,189,114,118,121,126,129,131,133,138,135,162,206,194,174,161,137,173,184,153,124,104,96,173,181,184,191,195,190,187,97,96,97,98,98,98,100,101,93,122,201,181,165,152,132,150,168,141,115,102,101,110,142,187,183,181,195,186
8,198,201,204,204,206,207,209,210,208,208,207,208,207,206,206,206,205,205,204,201,200,200,199,198,198,196,193,191,199,203,206,207,209,210,210,210,211,210,210,210,210,208,208,209,208,207,206,204,203,201,200,200,200,198,195,194,203,206,208,209,211,212,213,213,213,213,214,212,210,213,210,210,210,209,208,207,205,204,204,203,202,199,197,196,206,208,210,214,216,213,214,214,215,215,215,215,211,204,214,211,210,210,211,209,207,206,206,205,205,202,198,198,208,211,212,214,216,217,216,217,218,218,211,227,230,149,200,218,213,211,211,211,209,208,208,206,204,203,201,199,211,214,217,215,217,218,219,219,220,219,213,246,214,113,187,222,214,215,214,213,210,210,208,208,206,204,205,203,214,216,218,218,218,220,221,222,221,221,217,251,181,106,201,222,216,218,216,214,212,211,209,208,208,207,206,204,214,217,220,221,221,223,224,223,224,223,225,252,164,110,218,223,220,218,218,215,214,214,212,212,210,210,207,206,218,218,221,223,223,223,224,226,227,222,235,255,161,126,222,223,221,217,218,218,216,215,214,213,211,210,208,208,220,221,223,224,226,226,228,228,230,223,244,238,136,133,227,223,223,222,220,218,217,216,215,214,212,211,209,209,221,224,225,227,229,229,229,230,231,223,251,235,137,148,233,223,222,218,226,219,217,218,217,217,214,214,212,211,224,227,227,230,233,233,233,234,235,226,255,233,170,169,226,225,241,164,176,234,224,224,217,216,217,216,214,211,225,228,229,232,234,235,236,235,236,232,255,224,188,181,236,250,244,172,116,157,161,206,228,224,217,218,216,214,226,229,232,234,234,234,236,237,237,236,255,232,208,194,255,252,244,213,159,92,93,111,207,194,226,218,218,217,230,232,235,236,236,238,238,241,236,251,255,224,207,216,246,224,235,237,186,172,130,81,125,91,148,230,216,217,232,234,237,240,240,241,241,243,237,255,251,204,196,189,242,207,148,224,212,208,156,85,88,90,65,204,224,217,234,236,239,241,241,242,243,237,248,255,206,165,180,167,225,184,109,119,216,195,151,83,51,80,60,162,236,217,237,240,241,243,244,243,244,241,255,255,219,171,145,132,216,212,162,61,235,212,161,92,47,70,71,201,230,220,237,241,243,244,245,247,242,255,255,251,208,169,148,114,206,219,139,69,209,231,161,96,61,52,140,238,224,225,237,241,245,245,247,248,244,255,255,241,194,163,151,99,109,174,142,129,212,239,164,99,53,120,233,229,228,226,240,241,244,246,249,246,255,255,255,218,203,180,151,112,205,244,232,227,214,217,159,85,108,241,233,232,232,228,242,243,246,248,248,251,255,255,247,230,208,160,139,219,255,255,221,232,196,173,148,91,116,252,232,236,233,230,243,244,248,248,255,222,255,255,244,240,193,148,211,255,253,233,194,213,181,138,141,85,154,250,233,234,234,232,244,245,249,251,255,119,159,255,250,240,175,205,255,255,240,219,188,195,180,112,112,84,235,242,236,236,235,234,244,247,248,255,166,89,80,152,240,225,183,213,246,251,232,215,174,177,164,107,63,159,255,239,241,239,236,234,245,247,255,218,95,89,91,75,105,162,167,203,224,234,220,198,166,171,130,73,78,244,245,242,243,240,238,235,246,254,243,115,90,86,81,92,54,37,80,101,137,178,187,173,163,139,88,50,199,255,244,245,244,242,240,237,246,251,150,86,90,83,79,79,83,18,43,48,44,53,77,95,96,77,46,153,255,245,247,246,244,242,239,236
0,188,190,193,195,197,198,199,203,202,200,200,202,201,200,201,200,198,198,198,197,195,193,193,190,189,189,188,186,189,192,195,197,199,200,201,203,202,201,203,204,204,202,202,200,199,200,198,197,195,193,193,193,193,191,189,188,189,193,196,197,199,200,201,204,204,204,204,205,203,203,204,206,205,199,200,204,199,195,194,190,180,190,191,191,192,193,196,198,201,203,204,206,205,206,207,208,209,206,203,186,191,210,193,170,195,199,201,197,128,174,196,190,192,194,199,200,202,204,205,206,210,208,206,194,175,199,187,134,102,152,162,111,103,193,210,190,106,176,198,191,192,197,199,201,202,205,206,202,191,211,210,165,110,101,154,137,107,66,115,132,76,139,212,170,99,184,198,193,196,199,201,204,206,204,207,193,131,124,194,161,123,75,130,150,130,86,108,140,92,127,198,167,88,168,204,193,197,200,203,205,205,207,211,189,158,95,149,179,130,101,128,166,129,92,103,141,92,100,189,155,73,129,210,194,198,201,204,206,205,221,209,202,177,130,110,190,136,101,103,167,126,86,97,136,93,57,148,148,75,87,207,195,200,201,204,204,212,211,188,220,177,141,89,167,138,96,86,163,125,74,74,109,80,56,123,155,77,85,207,197,200,203,205,203,229,227,167,201,172,152,82,129,144,99,74,151,113,62,51,75,62,77,155,145,69,118,213,197,200,204,205,211,224,209,172,173,146,115,62,106,138,88,58,101,76,57,65,79,60,98,156,136,66,152,211,198,201,205,206,213,217,190,152,163,124,72,57,103,94,68,62,83,77,53,75,76,67,131,153,134,70,183,206,200,202,206,207,208,233,228,195,155,105,96,70,99,99,51,53,107,74,59,100,89,98,148,157,115,79,204,203,201,202,206,209,210,232,231,213,179,121,104,74,119,123,60,89,121,124,151,152,143,128,141,127,86,92,215,202,203,203,206,209,212,231,234,217,195,156,122,113,105,111,160,191,185,187,177,156,150,125,102,95,61,110,220,202,204,202,207,210,211,229,234,217,187,163,131,120,134,162,202,191,194,178,166,153,140,118,80,78,50,164,215,204,205,202,204,209,209,223,228,213,191,176,144,126,149,176,196,187,185,171,157,146,127,106,83,50,123,216,204,205,205,202,205,208,211,217,223,211,195,179,154,136,166,170,183,185,174,158,143,130,115,97,56,93,216,208,206,206,204,203,207,210,212,213,220,209,197,179,158,137,150,162,167,182,163,148,134,119,105,71,70,201,213,208,208,207,204,204,207,209,213,211,214,209,195,180,156,133,125,146,153,161,152,138,125,107,77,61,187,217,207,210,208,205,206,205,206,208,211,213,213,214,196,184,156,119,110,128,137,132,129,124,109,73,59,171,220,207,210,210,208,215,198,206,208,211,221,221,209,189,188,173,134,101,109,119,122,110,100,97,70,104,187,221,210,214,215,211,216,147,73,193,196,201,162,189,224,188,176,157,138,127,123,112,112,96,81,55,139,213,209,203,209,199,187,200,132,42,33,116,119,114,19,124,235,201,187,168,158,142,119,97,98,84,62,53,109,109,113,113,91,61,49,57,36,31,27,112,115,81,52,67,158,191,186,174,154,128,104,86,82,70,46,71,103,90,64,41,24,19,26,26,28,23,19,119,114,67,65,56,57,101,146,153,139,110,90,77,69,52,25,49,78,42,27,24,23,17,16,23,29,23,21,119,100,64,64,59,54,43,64,97,97,79,66,57,47,27,5,0,9,27,17,17,20,16,11,14,22,24,23
4,221,223,224,224,224,226,227,227,229,229,229,229,229,229,229,230,230,229,228,228,228,229,229,229,229,228,227,226,221,223,224,225,226,228,229,229,230,230,230,230,230,230,231,230,230,230,229,230,229,228,229,229,229,229,229,228,223,224,226,226,226,229,230,230,231,231,230,231,231,232,231,229,230,232,231,230,231,231,231,231,231,230,230,230,225,225,227,229,229,231,231,231,231,231,232,230,229,230,230,235,234,233,231,234,233,233,232,233,233,233,232,231,226,227,229,229,230,231,231,231,233,231,230,235,255,255,237,235,255,254,213,218,233,232,238,235,235,234,232,231,227,228,229,230,230,232,232,234,231,239,252,252,234,255,245,185,221,245,204,165,231,224,210,237,235,234,233,233,230,230,230,231,231,233,235,231,242,255,255,239,176,212,229,172,177,223,174,177,255,223,162,217,240,234,235,235,230,231,232,234,234,234,236,231,255,255,255,238,172,191,240,166,144,232,186,233,255,214,154,215,243,237,238,237,230,232,233,236,236,235,237,231,255,255,242,254,212,165,240,176,164,237,246,255,253,240,171,220,244,238,239,236,232,234,235,236,237,236,238,232,255,255,231,230,195,123,185,250,240,242,252,240,243,255,213,206,246,237,238,239,233,235,236,238,238,236,237,240,255,255,240,209,175,142,133,217,216,220,228,206,252,255,250,195,233,244,240,241,233,235,237,239,240,240,236,248,255,255,220,195,186,171,161,164,164,186,184,166,255,255,255,217,198,249,240,240,235,237,237,239,239,243,238,253,255,255,225,192,171,166,174,179,162,188,164,194,255,255,255,230,180,236,244,241,237,238,239,240,241,243,238,255,255,255,229,195,177,170,178,188,194,218,228,255,255,255,240,213,175,215,251,243,238,238,239,241,243,243,239,255,255,255,238,208,182,173,183,202,207,234,255,255,255,253,225,195,170,217,250,242,239,241,242,243,243,245,240,255,255,255,247,222,187,174,181,202,229,255,255,255,255,245,215,184,169,235,247,243,239,242,243,243,244,245,241,255,255,255,255,228,202,187,186,212,255,255,255,255,254,232,203,172,182,250,245,246,239,241,242,243,245,246,241,255,255,255,255,236,224,200,206,230,255,255,255,255,244,218,190,163,206,255,245,247,242,242,243,243,246,247,242,255,255,255,255,243,235,223,215,233,255,255,255,251,230,204,177,161,234,254,247,248,242,243,244,244,245,246,246,255,255,255,255,252,242,232,216,216,247,255,250,237,220,190,166,175,253,249,249,248,242,244,245,248,250,251,248,247,255,255,255,254,243,226,219,214,234,255,234,219,207,181,153,211,255,249,250,249,244,245,247,236,220,206,192,181,182,181,169,160,156,159,165,174,196,220,218,212,197,170,156,247,255,252,252,251,244,249,209,189,179,174,169,166,157,147,138,127,120,117,104,100,113,120,131,153,175,150,189,255,252,253,251,250,245,250,193,178,181,176,172,168,156,149,138,129,126,119,106,106,111,107,97,93,103,122,242,255,252,253,252,251,244,254,210,173,177,173,169,165,149,140,134,125,124,114,108,107,112,104,98,98,96,85,155,255,253,253,254,254,246,255,224,175,176,169,170,159,149,137,132,125,121,114,108,108,109,102,95,93,94,97,75,215,255,252,255,255,248,254,233,180,174,172,170,160,146,139,131,123,119,115,108,108,105,100,93,92,94,92,97,239,255,255,255,255,247,253,239,177,172,176,164,155,144,137,128,121,116,113,109,107,104,98,93,90,98,77,176,255,253,255,255,255
6,152,153,153,154,156,155,157,157,158,158,158,157,157,157,157,156,157,157,158,157,158,157,156,156,154,153,153,154,157,158,158,158,159,158,158,159,159,160,159,159,159,159,159,159,160,160,159,159,160,159,158,157,156,156,156,155,160,160,160,161,161,162,162,162,162,163,163,163,163,163,163,164,164,163,162,162,163,162,160,159,160,160,159,152,163,163,163,164,164,164,164,164,165,166,166,165,165,166,166,166,166,165,165,165,164,165,163,163,164,163,162,144,166,166,166,166,166,167,167,167,168,169,168,167,169,169,168,168,168,168,169,169,167,166,172,167,165,165,165,157,169,168,170,169,169,170,170,171,171,172,173,159,147,169,171,171,170,170,166,167,162,169,194,165,163,168,167,164,172,172,173,173,172,173,174,175,174,174,183,146,100,151,163,163,170,170,159,161,161,153,168,144,163,170,169,169,173,174,176,176,175,176,178,179,178,179,187,154,150,167,162,157,165,161,151,139,131,119,122,150,171,172,172,171,176,177,178,179,179,180,181,180,178,178,182,183,184,173,152,141,124,116,108,105,115,141,167,175,175,175,174,172,179,180,181,181,181,181,176,172,174,178,181,177,160,139,122,106,106,119,139,162,175,180,180,178,177,176,175,174,181,182,183,183,185,182,171,168,165,163,153,128,103,91,105,148,173,179,183,183,182,183,182,180,179,178,178,176,184,184,184,184,191,190,186,180,148,122,119,107,91,102,153,179,186,187,186,186,185,185,185,183,181,181,180,179,186,186,186,186,196,199,203,172,124,112,111,119,126,127,124,126,143,166,188,188,187,186,187,186,184,183,182,181,188,188,188,191,203,204,206,165,137,139,118,112,124,131,123,119,114,103,167,192,189,189,189,188,186,185,184,184,189,189,190,200,210,208,208,198,196,178,129,104,113,120,113,107,105,87,151,196,192,191,190,190,188,187,186,186,191,191,193,205,212,209,208,210,211,188,138,104,110,117,119,112,102,90,142,196,193,192,192,192,190,189,189,188,193,193,196,204,209,209,208,208,204,196,172,138,109,97,112,117,112,98,103,191,195,193,193,193,193,192,192,191,194,194,194,208,208,210,208,208,206,207,205,172,120,93,107,113,107,92,108,194,197,195,194,195,195,194,193,193,195,194,195,208,212,213,211,210,207,208,208,170,123,102,103,106,101,90,100,183,199,198,196,196,196,195,194,194,198,193,201,209,213,215,217,210,206,206,192,151,117,108,102,103,100,93,83,165,202,199,198,197,197,196,196,196,198,187,202,211,213,216,213,202,200,192,167,137,119,111,95,98,97,93,109,188,202,200,200,199,198,198,197,197,195,186,204,211,212,213,200,194,191,175,150,131,130,130,93,77,81,98,175,203,202,202,201,201,200,200,198,198,189,192,209,208,206,200,188,185,184,169,149,141,135,132,82,66,94,167,205,204,203,203,202,201,201,200,200,199,183,197,208,204,199,192,184,181,176,166,156,144,122,106,133,158,190,207,208,206,204,204,204,202,202,202,201,200,182,200,205,195,190,183,185,184,170,159,150,126,98,133,206,208,208,208,208,207,206,205,205,205,204,203,202,201,188,199,198,191,186,175,179,177,162,150,134,109,96,183,210,210,208,207,207,208,207,207,206,206,205,204,203,202,191,196,191,187,180,168,168,163,151,135,113,95,138,209,210,210,210,209,208,209,208,207,208,207,207,206,204,203,191,193,193,187,175,166,160,152,133,113,95,101,190,211,209,210,210,210,209,209,209,208,208,208,207,207,206,205
15,125,138,146,149,154,162,169,176,181,186,191,194,198,202,206,210,212,215,218,219,220,222,222,223,224,225,225,225,128,140,148,151,155,165,173,179,184,189,192,196,200,204,208,211,214,217,219,221,223,223,223,226,225,226,226,226,129,142,150,152,156,166,173,180,186,190,192,197,201,206,209,213,216,219,221,223,224,225,226,226,226,229,228,227,130,142,152,153,158,167,175,181,186,191,194,200,203,206,209,214,217,220,222,224,225,226,227,228,229,231,230,230,131,144,153,154,161,169,177,183,189,194,196,201,205,207,211,216,218,222,224,225,226,228,229,230,231,231,232,232,134,146,154,156,162,170,177,184,191,195,197,201,205,209,214,217,220,223,224,224,226,228,230,231,233,232,232,233,136,148,155,156,164,173,180,186,192,197,200,206,213,218,220,223,227,228,231,233,237,237,232,231,231,231,232,234,138,150,156,157,164,175,182,188,192,194,193,183,175,181,189,196,202,201,192,183,185,208,229,239,241,240,239,235,138,150,156,162,167,173,173,169,169,172,164,154,149,145,148,150,159,169,159,154,137,123,137,155,182,206,228,239,140,151,162,172,168,174,166,146,145,140,125,138,159,159,154,140,158,184,175,174,158,140,130,113,100,101,117,147,142,154,161,142,121,118,100,78,85,83,79,86,101,100,93,94,141,156,157,154,142,142,149,137,120,106,97,103,144,155,159,158,149,131,125,139,160,176,187,181,172,160,145,118,134,136,143,120,124,135,164,146,130,113,106,116,145,154,158,164,176,185,193,200,203,205,211,215,219,230,214,168,156,133,121,101,122,150,177,157,144,127,119,130,145,154,159,164,171,180,186,191,197,201,206,210,214,211,179,188,150,81,93,57,136,193,183,159,157,144,134,135,145,154,157,162,171,180,186,192,197,201,205,209,214,198,180,158,140,51,56,38,160,207,186,156,157,146,135,127,146,155,157,163,171,180,187,193,197,201,206,212,205,196,194,139,80,45,58,27,154,213,181,153,138,129,122,109,147,155,158,164,173,181,189,193,197,201,206,211,209,176,196,170,76,47,56,36,159,196,176,144,114,107,93,89,147,156,160,164,174,182,188,193,198,202,206,211,219,204,189,193,133,71,112,169,175,170,171,128,99,91,80,89,146,156,160,165,173,182,188,193,199,203,208,212,215,224,203,192,174,163,170,160,151,139,112,80,73,66,72,77,147,154,158,165,174,182,189,192,198,203,207,211,215,223,205,176,182,161,116,121,105,82,87,142,134,136,158,185,148,156,158,167,177,183,191,198,204,209,213,216,220,197,155,141,149,131,96,82,66,50,56,204,255,248,251,249,116,122,126,130,136,140,148,153,156,163,170,172,194,180,144,119,96,94,74,54,55,48,53,114,249,234,241,243,101,102,102,105,108,106,104,104,106,106,109,105,138,159,104,77,66,87,102,79,76,106,95,109,144,145,150,156,109,111,113,115,116,118,117,117,120,123,123,122,126,120,90,97,113,123,125,124,122,124,125,120,117,118,117,117,108,109,111,113,115,114,116,117,117,120,120,122,122,118,126,133,129,125,123,124,125,124,123,125,127,127,128,128,109,112,113,114,115,115,116,117,117,118,118,118,121,121,123,125,126,130,125,124,123,123,126,127,126,127,128,130,110,111,115,116,117,118,118,119,119,120,119,121,123,123,122,121,122,126,125,123,123,124,126,127,127,128,128,130,109,110,114,115,116,117,118,119,119,121,120,122,122,123,124,123,122,124,124,125,124,124,125,126,126,126,128,128
15,50,83,90,103,112,119,127,136,146,150,154,158,162,165,167,169,172,174,176,178,180,182,183,183,185,187,188,190,53,85,91,105,113,121,128,137,147,150,155,160,163,166,168,170,174,175,177,179,181,182,183,184,186,189,190,191,56,87,95,106,114,122,127,138,148,150,155,160,163,166,169,172,174,175,177,180,181,183,184,187,188,190,192,192,61,89,95,108,116,119,128,140,149,151,155,160,163,167,170,173,174,175,178,181,181,183,186,187,188,190,191,192,67,90,96,107,114,139,137,137,148,154,157,160,162,167,171,173,175,176,178,181,182,185,187,188,190,191,191,193,72,91,100,107,121,182,150,133,128,141,157,163,164,167,171,174,175,177,180,181,183,185,186,189,190,191,192,194,77,91,100,110,119,157,157,146,135,124,130,148,164,172,172,173,175,179,180,181,184,187,188,190,190,190,191,194,81,90,101,112,118,126,141,140,139,133,135,134,134,146,169,178,176,178,180,182,184,187,189,190,190,191,193,195,83,91,102,110,118,126,132,140,129,134,142,147,142,131,126,151,175,181,182,181,183,187,189,191,191,192,195,197,85,93,103,111,119,128,134,146,145,144,143,143,144,140,130,126,131,158,182,186,185,187,189,190,192,193,196,197,88,95,105,113,120,127,133,144,151,154,157,144,130,134,144,145,134,125,133,161,184,191,188,190,191,193,196,198,88,95,106,114,121,128,137,147,150,154,160,162,152,142,127,127,134,129,127,133,132,162,192,191,193,194,196,198,88,96,106,115,121,128,139,148,150,156,171,140,127,146,142,113,105,119,140,144,145,122,145,195,192,196,197,198,89,97,108,116,122,127,138,148,148,164,170,143,117,114,139,139,131,140,142,150,156,139,107,155,203,195,198,199,90,97,109,116,123,129,140,149,149,160,148,135,135,138,147,128,137,143,132,145,153,143,134,113,187,198,197,199,91,98,109,116,124,129,139,147,150,155,160,138,149,169,159,133,109,111,98,137,159,143,155,122,134,204,196,198,91,101,109,116,123,129,139,147,151,151,183,154,139,166,155,137,133,123,107,120,127,137,146,135,102,176,203,197,92,101,109,115,123,129,139,149,148,164,176,136,108,114,143,153,150,147,135,120,117,116,124,131,113,126,205,198,92,101,109,116,123,129,141,149,146,175,154,114,104,65,72,120,161,162,155,147,141,117,104,115,118,97,178,205,93,102,111,117,124,130,143,146,153,181,134,97,93,76,63,53,101,165,168,163,154,126,104,111,114,98,130,209,93,103,111,118,125,131,144,142,164,168,109,96,127,114,96,71,43,126,172,164,154,132,119,114,113,109,99,181,94,102,110,117,126,133,143,152,169,131,91,145,156,130,128,114,60,82,175,163,155,146,138,126,116,113,102,126,95,104,111,118,126,132,142,157,135,103,120,176,165,137,138,134,115,93,163,170,165,157,152,138,124,115,112,103,97,105,112,119,124,132,145,148,135,137,160,160,158,148,129,130,130,121,144,169,168,164,156,143,133,123,117,112,97,105,111,118,125,133,143,147,154,160,162,165,159,141,117,114,109,134,138,151,165,161,154,146,136,127,122,116,97,105,111,119,124,135,144,147,151,157,160,164,171,172,163,152,136,134,147,126,145,152,150,146,138,131,121,119,96,105,110,116,122,134,144,147,151,158,161,164,169,172,177,179,178,179,166,147,139,153,148,145,142,135,123,120,97,105,109,115,122,132,142,145,150,157,160,164,169,172,174,176,180,190,191,181,168,166,151,139,138,140,135,127
4,188,190,191,192,192,193,194,194,194,194,196,195,195,196,196,196,195,194,195,196,195,195,195,195,195,196,194,194,190,192,192,193,193,195,195,195,196,196,196,196,197,197,197,197,198,200,197,197,197,197,197,197,196,197,197,196,193,193,193,194,196,196,197,197,197,197,197,196,196,198,201,191,171,179,201,198,200,197,198,199,198,198,198,198,194,194,194,196,197,197,198,198,197,196,199,185,170,180,223,199,170,130,192,204,200,203,199,201,199,198,199,200,196,195,197,198,198,199,198,200,200,203,224,198,190,159,216,209,180,144,151,181,169,180,206,201,202,200,201,201,197,198,198,200,201,200,199,198,190,194,222,222,189,162,185,219,177,153,109,173,168,132,184,207,202,204,203,203,198,199,199,202,203,201,201,208,203,193,166,212,205,170,162,221,184,151,104,177,178,138,130,211,204,206,205,205,198,200,201,202,204,200,206,221,214,203,141,144,211,163,140,219,192,148,99,177,181,144,112,202,208,206,206,207,200,202,202,203,204,201,211,203,197,189,133,121,182,161,136,183,171,129,100,183,178,138,109,201,211,208,208,208,202,203,205,205,205,203,211,204,180,189,130,107,181,170,148,150,135,101,97,180,162,117,119,209,210,208,209,209,202,204,205,206,207,204,208,211,172,181,146,111,166,181,176,163,163,138,105,148,139,108,122,216,208,211,210,209,203,204,205,206,209,207,208,222,203,170,156,116,125,192,200,201,191,176,135,108,122,106,136,220,209,212,211,211,205,205,207,208,209,209,209,222,206,176,139,104,99,162,195,201,200,173,136,101,107,101,153,223,210,211,211,212,205,206,208,210,210,207,211,221,188,154,138,122,104,94,144,187,190,167,140,114,105,99,166,224,212,213,213,213,206,208,210,210,209,207,214,215,184,156,136,121,108,106,110,133,174,173,156,125,109,94,170,222,212,214,214,213,208,209,210,210,210,209,216,222,198,168,146,132,121,115,134,119,172,197,171,139,117,93,178,223,213,215,215,214,208,209,210,211,211,210,218,220,196,157,136,131,121,112,139,174,207,210,194,159,130,96,169,226,214,215,215,215,208,210,210,211,212,211,219,219,190,161,142,130,136,125,161,210,223,214,208,171,139,111,133,227,214,217,217,216,210,210,211,212,213,213,220,216,192,163,148,139,158,135,186,224,228,211,192,163,140,116,135,227,216,218,217,218,210,210,211,213,214,214,220,214,194,166,156,158,157,149,205,225,221,207,186,152,136,109,158,229,218,219,218,218,211,211,213,213,214,213,216,213,192,172,164,162,153,155,212,225,209,188,175,140,125,104,185,226,218,219,217,218,211,212,214,214,214,215,214,210,188,170,155,173,152,156,212,221,197,172,160,132,116,111,210,222,219,219,217,217,211,213,215,214,216,216,213,206,191,169,173,189,148,156,217,213,186,161,145,124,112,134,226,219,220,221,220,220,211,214,214,214,217,217,215,202,192,178,172,188,155,157,218,192,173,151,132,120,106,170,230,220,222,221,221,221,212,213,213,214,216,217,216,207,197,182,169,183,158,161,206,178,162,137,124,119,108,202,227,221,222,221,221,221,211,211,212,212,214,214,209,219,206,183,169,166,151,147,197,171,146,131,121,114,123,220,222,222,222,222,222,222,211,212,212,213,215,207,211,225,205,180,166,150,134,141,176,153,131,125,121,105,165,227,221,222,222,222,222,222,211,213,213,215,215,204,221,217,203,191,170,141,137,152,172,129,130,120,115,126,213,223,221,221,221,221,221,221
15,107,109,109,110,112,113,115,117,119,123,132,142,153,161,168,173,176,178,179,183,187,191,193,195,198,200,201,203,110,109,108,110,112,115,114,117,120,123,131,144,153,162,167,172,176,178,181,184,187,191,195,196,199,201,202,206,112,109,109,109,111,115,116,118,120,124,135,144,153,163,168,173,177,180,183,185,188,191,195,197,198,201,204,206,112,109,109,110,111,114,109,115,121,125,135,145,153,161,169,174,178,181,183,186,191,193,197,198,201,204,207,209,111,109,109,110,109,110,154,133,116,120,135,147,157,162,168,176,178,180,183,185,190,192,197,199,201,205,207,210,111,109,108,111,103,130,224,194,166,144,136,143,152,163,173,178,180,180,182,186,190,195,197,200,204,205,206,208,111,109,109,110,106,119,191,197,182,188,173,169,157,153,160,169,174,179,183,190,195,196,198,200,204,205,207,210,110,110,110,111,111,107,125,158,144,160,174,181,180,175,160,160,158,162,165,168,177,188,198,206,203,207,208,210,110,109,110,110,111,113,112,119,122,134,146,145,167,181,175,171,166,171,174,167,148,144,134,174,213,205,211,212,110,109,109,110,111,112,116,118,118,127,134,130,139,160,159,156,149,165,189,194,173,153,132,102,175,218,208,213,110,109,109,110,110,112,115,119,118,127,140,149,155,155,153,153,135,163,186,190,179,168,160,126,112,195,215,211,111,109,109,109,111,113,114,118,118,126,139,148,159,167,170,170,163,197,192,185,188,185,175,156,128,116,203,217,111,109,109,109,110,113,115,116,120,128,134,149,160,163,176,179,198,221,178,166,201,182,187,180,152,109,121,213,110,109,109,109,111,114,114,117,120,122,165,172,166,167,157,176,213,175,162,138,206,165,197,198,158,129,99,137,109,109,109,109,111,111,113,116,117,123,197,189,189,196,181,149,156,138,105,114,195,148,200,198,160,134,113,97,109,108,109,108,109,112,113,115,118,126,163,165,193,217,197,153,153,155,125,126,165,165,193,191,161,140,115,106,109,108,108,107,107,111,113,115,118,126,138,153,177,202,174,156,176,169,164,166,159,157,143,160,153,133,112,106,107,107,106,107,106,108,109,112,115,125,139,148,161,160,140,160,177,170,170,182,179,153,114,119,131,121,115,110,106,102,105,105,107,108,108,110,114,125,139,149,148,192,168,133,149,171,178,182,179,145,113,111,117,114,117,118,106,103,103,104,105,107,109,111,115,124,138,151,145,214,211,135,80,98,156,169,171,140,115,117,116,114,120,119,106,103,102,103,105,105,109,109,114,126,138,150,149,199,198,131,83,71,88,148,147,121,113,117,118,117,120,121,105,103,102,102,104,105,107,108,114,126,138,150,148,196,200,114,107,113,76,115,145,119,117,121,126,124,121,117,102,101,100,100,103,105,108,106,112,121,136,148,150,189,198,99,151,135,116,123,140,155,140,137,129,124,120,115,101,101,99,99,102,103,105,107,111,122,134,145,146,190,206,86,151,187,110,156,145,148,128,123,118,117,117,117,96,94,92,91,95,95,97,97,102,115,129,142,141,198,193,87,134,214,125,124,193,114,116,111,101,105,107,107,154,150,147,143,140,139,137,138,140,145,152,157,157,181,138,103,169,192,127,142,201,169,188,157,91,88,90,89,134,133,132,131,128,130,133,136,136,134,131,127,125,132,108,117,140,136,125,138,143,147,143,144,113,93,93,102,122,121,121,120,119,119,120,119,119,121,120,115,114,118,124,125,120,119,123,123,120,118,118,119,124,119,125,122
5,133,138,141,143,148,152,156,159,161,163,163,166,168,169,170,170,171,171,170,170,170,169,169,169,168,167,167,165,133,139,142,144,149,154,158,160,160,172,169,137,171,170,171,172,173,173,173,173,172,170,170,169,168,168,168,167,135,141,143,146,151,156,160,162,157,190,165,126,171,172,172,173,173,173,173,174,172,172,171,172,171,169,169,168,136,142,144,147,152,156,159,161,166,206,130,143,176,172,173,174,174,174,174,171,173,170,172,172,172,170,169,168,136,142,145,145,152,158,162,158,189,206,116,162,176,174,175,176,176,173,174,184,195,136,156,177,172,172,170,169,138,144,143,158,154,153,164,156,207,196,122,170,175,175,176,178,174,179,206,193,159,127,166,177,173,173,171,170,138,145,138,188,163,126,169,160,219,180,128,176,176,177,179,176,184,220,196,133,133,171,177,175,175,174,172,171,138,146,138,193,157,123,169,166,225,164,130,180,177,179,176,185,219,200,143,128,174,180,177,175,175,175,174,173,140,147,142,207,145,132,168,175,224,153,125,181,177,177,186,214,188,137,134,178,182,178,178,177,177,176,175,173,141,147,145,206,153,126,168,179,216,165,119,175,179,179,209,197,130,125,178,183,181,180,179,179,178,178,176,174,141,149,143,196,178,119,167,175,213,168,114,171,184,188,200,158,117,163,188,180,182,182,181,179,180,179,178,177,143,150,145,180,200,124,137,172,207,167,103,153,181,170,156,128,141,185,180,181,184,183,181,181,176,177,179,177,145,150,148,167,205,166,149,139,183,185,130,114,131,134,123,129,175,176,203,208,204,201,194,183,133,152,188,176,146,150,153,158,178,189,183,158,157,174,136,115,115,121,121,147,163,186,181,169,179,194,183,168,142,119,168,183,146,151,153,158,162,169,186,199,202,180,138,111,111,114,131,135,137,153,124,118,189,200,166,142,129,123,165,185,146,151,152,158,166,166,170,205,223,202,151,111,112,112,121,129,123,107,134,182,211,170,127,139,171,183,185,182,148,152,154,160,166,172,172,188,220,212,163,116,109,107,112,120,106,141,197,191,188,133,123,186,190,185,185,184,148,153,155,161,166,171,176,175,209,223,184,130,107,108,106,104,95,146,173,178,186,128,151,195,186,186,186,185,150,153,155,162,167,172,177,175,202,227,198,151,112,103,102,109,121,142,150,173,177,124,167,194,188,187,187,185,148,153,155,162,166,170,175,176,189,231,211,173,125,103,104,112,123,151,166,161,164,124,174,194,188,188,187,186,148,153,154,160,166,171,175,176,185,232,221,192,144,107,105,111,133,162,165,144,137,116,178,193,189,187,187,185,148,153,155,161,168,173,178,178,185,231,223,201,160,117,103,117,144,166,158,130,117,138,193,191,191,188,187,186,150,155,155,162,168,172,177,178,183,225,225,204,177,132,108,111,148,160,152,121,118,186,195,192,191,189,188,187,149,154,155,161,167,173,176,179,181,213,227,207,187,149,122,108,138,153,140,115,130,196,191,191,190,189,187,186,147,153,156,162,168,174,179,184,183,207,222,216,197,171,136,115,119,140,130,112,162,203,195,196,196,193,192,193,141,145,148,151,153,157,159,164,158,199,228,226,205,177,141,123,116,128,120,118,159,166,163,163,163,163,164,155,114,115,115,116,114,113,113,116,103,186,239,224,202,165,137,125,119,120,120,115,106,106,103,104,105,102,99,144,119,119,119,119,120,118,119,123,110,182,233,216,183,141,128,122,119,121,118,113,113,112,112,112,109,115,180,214
3,180,182,182,182,182,183,184,183,184,183,183,184,183,182,180,179,177,170,178,174,174,173,172,170,168,166,165,164,184,185,185,185,185,185,186,186,186,186,187,187,185,184,183,182,187,132,159,183,177,176,175,174,171,170,168,166,186,188,188,189,189,189,190,190,189,189,191,191,190,188,187,187,180,115,132,191,179,179,178,178,175,173,171,169,190,191,192,191,193,193,193,194,195,193,193,192,193,192,190,190,179,114,115,192,183,183,181,180,178,176,174,172,194,195,195,196,197,197,197,198,197,197,196,196,195,195,193,193,178,110,108,194,186,186,185,183,181,179,177,175,197,198,198,198,199,200,200,199,199,199,199,199,198,198,197,196,178,116,105,194,189,187,187,186,184,182,179,177,199,200,201,201,201,202,202,203,202,202,203,201,202,200,198,199,187,123,100,193,193,190,188,187,187,185,183,180,202,203,204,204,204,205,205,205,205,205,205,205,204,203,202,200,183,110,100,198,194,193,191,190,190,187,186,183,204,206,207,206,206,207,206,206,206,205,207,207,206,206,205,199,173,125,107,189,199,195,194,192,192,190,188,185,206,206,206,208,209,209,209,209,209,209,210,210,209,208,207,202,185,150,103,174,205,197,197,195,194,192,190,186,206,208,209,209,209,211,211,211,211,211,212,211,210,209,210,203,189,149,91,163,209,198,198,198,195,194,192,189,209,210,210,210,210,211,212,212,212,212,212,213,211,212,210,207,198,150,95,137,215,197,200,199,197,196,193,191,211,211,212,212,211,212,213,214,214,213,214,214,216,209,193,182,175,173,129,155,193,210,200,200,198,197,195,192,212,212,212,213,213,214,215,215,215,215,217,216,208,201,193,147,107,157,168,195,128,180,211,201,200,199,197,193,213,213,213,215,215,216,216,216,216,218,211,195,149,161,194,146,103,116,170,169,104,79,154,210,201,200,198,196,215,214,216,216,217,218,217,217,219,211,201,186,141,114,160,171,126,99,146,154,111,84,87,198,206,201,199,198,215,215,216,217,218,218,217,219,217,204,190,167,162,143,126,178,138,92,97,122,124,91,81,187,210,202,201,199,216,216,216,218,218,218,218,219,214,195,165,127,148,150,110,145,149,96,86,105,140,103,74,177,213,203,201,200,215,216,216,217,219,220,221,222,217,195,179,125,95,130,78,107,144,85,89,103,146,135,76,156,216,203,204,201,215,216,216,218,219,220,221,221,223,198,170,145,116,98,78,103,110,70,97,141,160,149,82,158,217,204,205,202,216,217,217,217,218,219,220,220,225,198,180,175,141,105,105,124,115,105,167,175,160,118,99,205,209,205,203,200,216,217,218,218,220,221,221,221,224,205,174,175,152,124,116,138,179,186,194,161,134,85,153,219,202,203,206,207,215,216,216,218,219,220,220,220,224,213,171,172,155,130,118,125,186,184,169,141,105,84,195,215,213,214,194,160,222,222,222,223,224,224,225,225,225,228,179,153,148,130,123,121,167,169,150,120,78,136,224,196,173,141,97,76,182,186,190,193,198,202,206,209,211,216,202,148,147,140,136,117,141,152,130,90,97,165,124,93,74,67,67,72,118,119,121,121,122,125,125,126,126,125,137,169,146,144,130,108,109,109,87,75,97,86,67,64,70,65,64,61,127,126,127,128,126,126,132,129,130,126,145,191,172,147,118,104,103,102,80,81,82,75,77,60,64,59,56,57,126,127,127,128,127,127,134,132,134,130,161,178,176,154,133,122,111,100,78,79,76,72,67,67,54,55,52,56
5,194,195,194,195,196,196,196,195,195,193,194,194,193,191,189,189,187,184,183,181,181,179,178,176,174,174,173,172,201,200,200,200,200,200,199,200,201,197,196,196,195,194,194,193,191,189,187,184,185,183,180,178,176,176,175,174,205,205,206,205,204,205,205,205,205,204,202,201,200,200,194,196,193,188,192,188,186,186,185,182,180,178,175,173,209,209,209,208,207,211,211,209,207,208,207,206,203,197,199,223,144,158,203,191,190,188,186,185,183,180,179,175,212,213,214,213,217,199,209,216,211,212,210,206,211,202,181,132,99,184,201,194,195,194,191,188,186,184,182,179,217,219,221,215,246,159,165,231,217,216,212,226,215,143,111,145,193,206,201,199,198,197,194,192,191,188,185,182,223,223,225,221,240,129,162,236,221,212,223,218,136,122,213,225,218,212,206,207,209,202,198,196,194,191,187,186,228,227,227,229,220,123,196,237,217,194,184,127,130,192,153,155,155,156,154,150,180,199,204,201,198,194,193,192,232,231,232,233,198,128,223,238,217,164,114,123,221,122,101,117,144,161,164,161,156,183,150,196,203,198,197,196,236,236,236,236,216,128,198,245,208,150,113,143,161,107,115,106,117,118,104,119,129,128,134,206,204,201,199,197,239,240,239,240,223,130,180,254,195,146,117,112,126,127,93,71,67,64,69,79,83,86,175,214,210,205,202,201,242,243,243,242,214,148,125,238,195,132,91,90,108,100,71,77,92,86,107,108,139,162,149,130,202,214,204,203,244,247,247,250,201,166,156,155,158,134,109,89,81,58,71,104,76,115,165,172,197,168,155,145,143,207,210,206,249,248,250,252,246,189,187,168,131,140,120,87,84,71,75,74,125,235,242,237,230,198,204,195,138,210,213,209,251,250,251,251,255,237,189,209,200,157,104,77,69,85,67,154,244,237,230,233,196,192,203,136,179,225,211,212,253,253,254,255,253,255,227,215,217,177,127,71,73,63,107,255,243,236,243,212,165,200,158,129,227,221,218,215,255,255,255,255,255,255,254,212,225,192,140,75,74,67,120,218,233,254,228,188,180,174,92,189,236,222,222,218,255,255,255,255,255,255,255,223,232,203,151,90,74,98,95,116,147,185,175,181,175,103,148,239,228,227,224,221,255,255,255,255,255,255,255,217,238,216,157,103,76,98,101,120,151,128,146,175,115,145,247,232,230,228,226,222,255,255,255,255,255,255,255,218,242,215,157,123,81,89,102,119,146,150,122,114,127,245,239,235,232,230,226,224,255,255,255,255,255,255,255,220,246,215,165,140,89,83,106,126,142,133,91,87,233,247,240,238,235,232,230,227,255,255,255,255,255,255,255,224,239,212,173,141,94,77,108,124,129,103,79,219,255,244,242,241,238,234,231,229,255,255,255,255,255,255,255,225,223,202,171,142,96,74,105,108,109,62,159,255,245,248,245,243,242,237,234,230,255,255,255,255,255,255,255,224,219,202,167,141,95,78,97,106,83,85,250,255,252,249,247,246,244,239,235,233,255,255,255,255,255,255,255,227,222,199,167,137,95,79,92,82,63,210,255,253,254,251,249,247,244,240,237,234,255,255,255,255,255,255,255,235,226,203,176,127,86,77,64,67,205,255,255,255,255,252,250,248,245,242,240,236,255,255,255,255,255,255,250,235,223,208,168,111,80,62,111,241,255,255,255,255,255,254,251,249,247,243,241,239,255,255,255,255,255,255,235,212,217,197,150,96,77,77,250,255,255,255,255,255,255,253,250,248,247,243,241,239
24,136,139,140,141,142,143,144,145,144,144,145,144,144,143,142,141,138,136,135,134,134,130,128,127,122,120,120,117,137,142,143,144,145,146,146,147,148,148,148,146,145,144,143,143,142,140,138,136,135,133,130,129,126,123,121,120,140,143,146,146,148,148,149,150,150,151,151,149,148,146,145,145,143,143,142,138,135,134,133,131,128,125,125,123,142,144,147,153,149,152,152,153,153,154,154,152,151,149,149,147,145,144,142,141,138,137,137,134,131,128,128,126,142,152,141,114,154,154,155,156,155,156,156,155,155,153,153,152,148,147,145,144,143,140,137,136,135,133,129,127,142,159,126,50,112,164,156,160,159,158,159,158,158,156,155,154,152,150,147,146,146,143,141,138,137,135,132,130,146,153,116,64,48,156,159,160,161,161,159,160,159,158,157,155,155,152,150,148,147,146,144,141,138,137,135,132,148,156,145,88,29,111,172,160,163,162,166,167,160,160,160,155,155,158,158,151,150,147,146,142,139,139,138,141,150,154,160,118,44,53,168,163,164,165,144,145,169,164,162,165,162,143,138,159,152,149,148,146,144,136,107,90,153,155,160,149,90,34,114,177,165,150,98,57,134,148,94,93,141,108,55,108,162,149,149,149,136,111,65,60,154,156,159,165,124,51,41,166,167,132,119,85,54,99,70,25,60,104,51,20,143,157,151,139,121,85,45,130,155,157,159,166,146,75,36,111,178,124,140,113,61,52,78,37,65,104,56,14,133,164,140,107,105,44,70,151,156,158,161,164,165,128,80,58,152,104,127,130,82,33,73,52,76,108,55,27,152,163,91,80,83,18,113,151,157,161,164,165,169,162,95,60,98,99,87,135,93,50,39,38,69,106,45,54,177,130,62,86,56,42,149,145,160,163,165,168,169,172,127,115,99,84,63,103,106,55,18,14,30,59,23,35,166,78,64,87,30,113,158,144,160,164,167,170,171,173,167,141,99,58,37,39,105,77,50,3,0,17,5,0,53,54,77,61,40,155,150,147,162,166,169,170,172,172,176,141,77,56,46,31,77,117,98,22,0,17,30,57,65,73,81,33,88,165,148,147,162,164,170,173,173,175,177,148,117,93,50,37,69,113,82,30,11,47,88,95,91,68,58,21,136,161,153,150,163,166,171,172,173,178,175,166,142,100,51,42,62,101,82,90,82,80,97,92,84,57,11,57,166,155,155,154,165,169,172,172,175,180,177,163,155,117,80,53,38,92,137,132,125,109,100,88,74,33,15,149,161,156,156,155,164,168,173,174,177,179,180,160,155,127,95,57,45,84,145,143,137,117,97,80,61,1,108,174,157,158,156,154,165,170,173,173,178,180,183,162,140,122,105,65,61,95,138,132,121,104,85,70,26,46,173,161,162,160,156,155,168,171,173,175,178,180,183,168,130,128,114,81,67,97,121,119,115,90,65,45,7,141,171,163,164,162,158,156,168,172,173,176,179,180,180,183,151,127,114,90,57,78,106,105,99,71,49,2,93,179,163,166,162,160,159,157,167,172,173,176,181,181,180,184,173,142,115,86,51,60,85,83,72,49,6,71,180,169,168,165,163,161,159,157,167,171,174,177,182,182,181,185,178,140,109,76,61,63,77,73,53,13,32,184,173,170,169,166,164,163,160,157,167,172,175,179,180,181,183,182,175,145,113,97,89,81,81,74,39,0,123,186,171,172,169,168,165,163,160,156,165,170,174,175,177,180,184,175,168,157,136,110,85,91,86,61,18,27,174,174,173,170,169,167,165,162,159,156
12,174,176,178,177,177,178,179,178,179,180,180,179,180,182,180,180,181,180,179,180,180,181,179,179,179,178,178,178,177,178,179,179,180,181,181,181,181,182,182,183,183,180,183,185,182,181,181,181,182,183,181,181,181,180,180,178,179,179,180,181,182,183,183,185,183,184,183,172,181,196,173,162,181,186,184,183,184,185,184,182,182,182,181,180,180,181,183,183,184,184,183,185,182,211,197,164,144,217,191,148,137,192,184,186,189,185,185,185,184,184,183,183,181,184,186,185,185,186,187,186,190,236,216,185,127,194,220,174,108,171,181,153,169,192,186,188,187,186,186,185,184,185,186,188,188,188,188,186,195,237,232,195,137,157,233,189,138,102,175,150,108,176,192,189,190,188,187,186,185,186,188,188,188,191,192,188,199,227,234,201,153,128,225,196,162,95,143,161,90,128,202,189,193,191,190,189,186,187,189,189,190,191,193,189,203,214,223,215,167,111,192,204,162,111,89,144,98,119,204,192,193,191,191,190,187,189,191,192,193,194,192,193,194,176,203,216,193,153,133,193,150,97,55,101,95,128,205,193,194,193,194,192,190,191,193,193,195,188,197,220,167,138,162,184,194,151,90,111,114,62,86,128,81,143,206,194,196,194,195,195,190,190,194,197,192,207,234,209,138,115,122,113,151,116,84,98,136,113,159,142,81,170,202,196,198,197,195,195,192,193,194,192,206,238,217,181,138,117,82,76,96,138,129,144,183,209,184,124,80,191,206,198,200,198,198,197,191,194,196,195,227,209,185,192,160,133,85,80,85,84,96,118,168,217,222,200,139,117,192,203,199,199,199,199,194,193,194,200,226,200,172,196,171,134,96,73,94,96,94,87,173,206,224,204,165,121,112,206,201,200,199,199,194,193,192,217,224,196,158,182,186,175,134,80,98,116,105,172,213,202,195,176,168,160,101,182,207,201,201,200,194,196,195,213,236,212,174,129,181,206,152,94,94,120,170,220,213,203,188,146,152,144,102,193,206,202,202,202,195,196,197,206,235,224,196,147,133,167,196,168,96,188,228,213,205,192,177,143,124,105,119,213,203,203,203,203,196,196,197,207,236,230,204,167,161,140,151,148,169,235,227,215,198,184,163,137,107,80,159,213,205,205,204,203,196,197,198,204,228,231,216,179,175,169,128,160,229,229,229,211,183,170,144,131,94,88,199,207,205,206,206,205,196,196,196,199,220,226,226,198,183,171,164,159,223,228,225,200,166,151,132,126,83,125,216,204,206,207,206,206,195,195,197,194,208,229,229,215,194,175,177,154,208,226,209,189,151,130,135,116,74,167,214,204,206,206,206,205,195,196,199,195,192,231,231,217,198,179,172,164,190,219,189,167,137,123,139,99,88,204,207,206,205,205,205,204,196,198,199,202,191,219,219,197,186,177,172,170,175,193,174,145,130,131,127,80,137,217,205,206,206,206,206,206,196,198,199,205,194,213,209,182,175,172,173,165,167,175,163,150,127,124,104,91,198,211,207,207,206,206,206,206,196,200,200,202,197,208,206,184,184,184,177,164,161,176,172,143,110,108,80,159,216,207,208,208,208,208,208,207,197,198,201,200,197,205,212,195,194,189,181,174,157,182,164,120,100,86,111,213,206,209,208,208,208,208,208,207,194,197,200,203,200,203,221,199,201,196,184,182,148,177,146,114,98,79,178,217,209,210,209,209,208,208,208,207,129,132,132,139,136,177,230,210,207,205,190,183,144,165,139,117,86,94,195,196,199,201,204,206,207,208,207,206
8,186,185,187,187,187,187,188,186,186,185,184,161,165,182,183,181,181,181,179,177,176,176,175,173,172,171,169,167,186,186,187,188,188,188,188,188,188,187,186,145,132,185,184,184,183,182,180,179,177,177,176,175,173,172,171,168,187,188,189,190,189,189,190,191,189,193,181,124,129,185,185,186,185,185,182,181,180,179,177,177,175,173,171,169,189,190,190,192,192,191,192,192,191,198,172,108,146,187,187,186,186,185,184,183,181,180,179,178,177,174,172,172,190,192,192,194,194,193,193,193,192,208,171,111,161,188,189,188,187,186,185,183,182,182,181,179,178,176,174,174,192,193,193,194,195,194,194,194,193,212,157,109,169,190,189,188,187,187,186,184,183,183,182,181,178,177,176,175,193,195,195,194,194,196,196,195,195,209,150,114,177,192,187,156,176,189,187,186,184,184,183,182,180,179,178,175,194,196,196,196,196,196,197,196,199,210,163,144,179,193,197,155,133,163,174,186,185,185,184,183,181,180,179,175,195,196,196,196,197,198,197,196,203,204,177,163,183,188,200,184,149,128,119,137,183,179,183,184,182,180,179,177,196,197,197,198,198,199,200,197,205,200,187,172,198,192,180,197,180,171,139,90,123,121,124,177,184,182,181,179,197,198,198,199,200,201,201,198,213,188,182,185,200,185,153,167,182,169,143,89,64,73,72,124,185,184,183,180,198,199,200,200,202,202,202,205,201,176,178,170,190,168,135,99,171,177,150,98,59,65,69,93,185,185,183,181,199,200,202,202,203,204,202,217,190,158,153,157,183,148,112,72,139,192,157,105,63,73,70,117,186,185,183,182,200,201,202,203,203,203,209,225,199,168,135,130,169,134,96,81,136,202,163,111,61,62,75,170,188,185,184,184,201,202,202,205,204,204,225,222,197,167,141,130,174,169,167,184,175,185,152,113,67,55,147,188,187,186,185,183,202,203,204,205,205,207,231,212,191,171,151,132,151,205,204,184,188,152,138,116,72,124,189,191,189,188,187,185,203,205,204,205,207,216,229,207,194,168,140,139,191,210,193,167,186,133,125,112,68,173,193,193,190,189,188,187,203,205,206,207,207,224,227,206,194,162,146,182,212,203,183,158,168,131,103,88,83,192,195,194,192,189,188,187,205,206,207,207,208,228,225,209,193,162,177,200,210,192,174,147,150,125,85,66,133,197,196,195,193,191,189,188,207,207,208,203,200,225,220,207,185,166,176,195,192,176,158,139,135,101,71,62,178,198,197,195,194,193,191,189,207,208,209,148,98,177,206,192,171,161,168,179,178,162,143,131,111,79,59,101,197,199,198,196,195,193,191,189,207,208,182,90,73,81,142,171,164,161,161,172,173,148,129,108,81,63,61,170,199,200,199,196,195,194,193,190,208,206,117,73,70,69,73,121,157,163,151,167,160,127,105,82,67,57,130,200,201,201,199,196,196,194,193,191,210,156,81,70,66,65,65,44,73,97,114,146,134,95,77,67,58,106,196,202,202,201,199,197,196,195,193,191,183,90,71,67,63,61,65,43,35,45,49,68,79,66,55,53,120,194,203,202,202,201,199,198,196,195,193,191,102,71,67,66,59,58,63,47,20,39,38,32,31,33,32,127,199,203,202,201,201,201,199,197,195,194,193,190,69,62,60,60,57,54,61,41,15,33,33,26,25,22,22,72,168,204,203,202,201,201,199,196,195,194,192,189,70,56,46,82,70,48,58,26,15,28,28,23,22,22,20,13,105,205,204,203,202,201,200,198,196,195,193,190
17,155,159,161,166,167,168,169,171,174,176,177,178,180,183,182,184,185,184,185,185,186,187,185,184,184,185,185,183,158,161,165,169,170,173,174,176,176,177,178,180,182,182,185,184,186,186,186,188,188,188,187,186,186,185,184,183,162,167,169,171,174,175,178,179,179,179,182,180,203,159,158,193,187,188,188,189,189,190,189,188,187,187,186,186,167,170,173,177,179,180,181,182,184,185,183,195,196,121,124,199,189,193,192,192,192,192,192,190,189,189,188,187,173,177,179,182,184,185,185,187,188,190,188,199,213,116,121,205,192,195,195,195,195,195,196,195,193,193,193,191,178,182,185,187,190,190,191,193,193,194,191,207,233,153,108,198,196,198,199,198,199,198,199,198,197,194,195,196,183,187,190,192,195,195,196,197,199,201,196,217,237,174,90,170,209,201,203,203,203,203,204,204,202,198,197,197,188,193,195,197,200,201,201,202,205,207,200,227,228,192,115,137,217,204,207,206,207,208,208,207,205,203,201,202,193,196,200,203,205,205,206,208,209,211,203,241,204,214,142,112,213,212,212,212,212,212,211,210,209,208,206,206,198,202,205,208,209,209,211,213,213,214,214,245,181,228,158,103,205,219,216,218,217,216,215,215,213,212,210,210,201,205,208,213,215,215,216,217,216,214,210,250,195,244,197,111,189,228,220,221,221,221,220,219,217,216,214,213,205,209,212,216,217,217,219,221,223,229,192,160,163,234,213,124,170,234,222,225,225,224,223,221,220,220,219,217,210,212,216,218,220,220,222,221,239,252,212,148,97,181,210,130,151,237,224,229,229,230,227,225,223,223,222,221,212,215,219,221,223,224,226,226,233,201,198,197,164,141,154,125,133,240,228,230,232,231,230,230,227,227,224,223,214,218,222,224,227,227,228,231,238,171,178,215,229,191,106,95,120,237,232,234,235,235,235,234,231,229,227,228,218,223,225,229,230,230,228,235,255,243,169,182,212,171,94,80,97,224,240,237,237,237,236,235,235,233,231,230,220,224,228,231,232,231,238,225,173,255,194,111,189,178,107,81,76,197,249,238,240,240,240,239,237,237,235,232,221,227,231,232,234,234,249,208,126,169,205,74,135,219,127,82,64,182,255,241,243,242,242,242,240,240,239,237,225,231,233,235,236,240,253,223,161,111,185,120,124,244,154,96,60,176,255,241,245,245,244,242,241,241,240,238,228,232,236,238,238,244,240,170,124,88,158,153,160,255,179,122,63,180,255,244,247,247,247,245,243,243,241,241,230,233,237,240,240,248,231,189,141,132,129,176,224,235,185,140,72,194,255,245,249,249,247,247,248,247,245,243,232,236,239,243,241,254,249,180,163,154,160,255,245,198,162,132,79,223,255,249,252,250,249,248,248,248,247,246,234,238,241,244,245,255,231,198,187,136,200,255,204,182,152,108,90,244,255,253,253,253,253,251,249,249,247,247,237,239,242,245,248,255,247,226,157,153,217,242,186,180,151,92,100,255,255,255,255,255,254,254,252,252,249,248,238,241,245,245,250,255,255,192,186,151,252,241,185,174,136,83,117,255,255,255,255,255,255,255,255,255,251,250,239,242,245,248,249,250,249,202,192,168,255,235,181,155,120,75,138,255,255,255,255,255,255,255,255,255,253,251,239,243,245,249,247,239,236,219,179,176,255,215,159,126,104,68,177,255,255,255,255,255,255,255,255,255,255,255,240,246,247,248,253,238,213,217,181,180,243,194,143,108,89,81,234,255,255,255,255,255,255,255,255,255,255,255
10,85,95,107,124,147,157,165,170,172,175,176,177,179,179,179,181,182,181,180,179,177,176,175,173,170,169,166,164,86,97,108,127,149,159,166,171,173,176,177,179,181,182,182,182,182,181,181,180,178,180,175,173,173,171,167,165,88,98,109,128,150,161,168,172,175,178,179,181,182,183,185,185,185,184,182,182,182,168,175,177,174,172,170,166,89,99,111,130,152,163,170,174,177,180,181,183,185,185,187,187,188,187,186,184,191,133,134,185,174,174,171,169,92,100,112,132,154,164,171,176,179,181,184,187,187,188,188,189,189,190,188,186,195,136,115,186,177,177,173,171,93,102,114,134,155,166,174,179,180,182,186,188,189,190,193,193,192,192,191,189,196,133,110,186,180,179,178,175,94,104,115,136,157,167,175,181,182,184,189,191,192,193,196,196,195,194,194,193,202,139,112,190,184,183,180,178,95,105,117,138,159,168,176,181,182,186,190,193,194,196,196,197,197,197,195,197,182,138,113,193,187,186,183,180,97,107,118,140,160,170,177,183,185,188,193,196,196,197,198,199,200,201,202,206,118,111,110,194,189,187,186,183,97,107,118,142,161,171,179,184,186,190,195,196,196,200,201,200,201,197,185,181,111,82,116,198,190,189,186,184,99,108,119,142,161,172,180,185,187,191,196,197,199,202,204,207,209,195,164,110,98,68,124,205,192,191,189,187,100,109,120,144,161,174,181,187,190,193,197,200,201,203,200,179,193,190,140,81,74,82,102,203,194,194,191,188,102,110,121,146,162,174,182,187,189,194,198,202,205,211,194,146,115,92,72,78,99,84,79,197,197,195,193,189,104,112,123,147,163,175,183,188,191,195,200,204,193,185,207,176,112,43,46,72,159,108,75,191,200,196,194,190,104,113,124,148,163,176,184,189,192,195,200,207,187,144,155,193,137,64,55,72,173,140,78,184,204,197,195,193,103,113,124,148,163,177,184,189,192,198,201,208,203,186,136,173,146,86,46,90,175,151,76,165,210,198,197,194,104,114,124,149,165,177,185,192,193,199,203,206,170,180,132,130,148,95,54,137,175,147,72,146,214,198,198,196,105,114,127,150,166,177,185,193,194,199,202,213,176,134,125,96,158,146,96,173,163,120,71,156,213,199,199,195,104,114,128,151,166,177,185,192,195,200,204,209,188,144,119,117,150,162,106,170,150,99,67,176,211,200,200,197,105,115,128,152,166,177,186,193,196,201,204,209,214,175,131,114,117,153,145,166,138,95,63,188,212,202,201,199,105,115,128,153,167,177,186,193,195,201,204,206,215,192,158,131,127,199,197,157,127,90,70,201,210,204,201,199,105,115,129,153,166,178,187,193,197,202,206,208,197,188,169,152,141,192,186,145,117,80,82,213,209,206,203,201,105,115,130,153,166,178,188,194,197,201,205,211,193,186,175,162,144,182,177,133,105,62,104,222,207,207,205,202,104,112,128,152,166,177,187,194,197,201,205,209,206,183,178,160,138,159,155,118,94,51,150,221,207,206,204,201,103,111,126,150,163,176,186,191,194,199,203,206,211,195,172,153,134,137,145,119,86,68,199,213,207,204,202,199,102,110,125,149,162,176,186,192,194,199,203,206,210,210,180,153,149,139,148,128,74,105,220,207,205,203,201,198,102,109,124,147,160,175,184,191,194,199,202,207,210,208,190,172,167,147,146,118,69,137,222,206,205,202,200,198,99,107,124,147,159,173,183,189,191,197,201,204,208,198,202,184,169,146,126,107,65,144,220,204,204,202,199,197
15,115,112,111,111,112,114,114,115,117,124,134,144,150,157,163,166,167,170,173,178,182,185,188,190,191,193,196,197,115,111,111,111,111,113,115,115,117,126,135,145,151,158,164,167,168,170,174,179,182,185,189,191,192,194,197,199,115,112,111,111,111,113,117,115,118,126,136,145,152,158,164,168,168,171,175,179,183,186,190,192,194,196,198,200,114,112,111,110,113,113,112,114,117,127,137,145,152,159,164,167,169,171,175,180,183,188,191,193,195,197,198,201,115,112,112,112,110,115,138,124,121,127,137,146,153,159,166,169,170,171,175,180,185,188,191,194,196,197,198,201,115,113,113,113,102,178,182,151,147,143,140,141,152,159,160,161,167,173,179,183,186,187,191,194,196,197,199,202,116,114,112,112,105,173,162,142,142,142,131,141,144,146,143,138,142,147,158,173,185,192,196,196,196,197,200,203,116,113,112,113,108,122,132,118,123,118,114,139,132,132,128,138,148,141,140,143,153,161,173,187,202,199,201,203,116,113,112,111,112,112,112,112,115,111,113,120,115,114,114,142,146,142,144,147,149,143,130,129,158,207,201,203,116,114,112,110,112,114,114,115,120,129,138,138,138,136,127,133,132,130,124,140,159,152,139,136,110,157,212,202,116,114,111,111,111,112,113,113,119,130,139,151,157,163,167,157,131,118,138,161,163,160,137,145,139,102,175,214,116,113,110,111,112,112,113,113,119,130,141,147,155,171,172,157,143,147,195,159,168,147,153,161,145,127,110,193,116,112,111,111,111,112,113,113,119,131,139,151,192,180,150,136,133,130,186,143,134,154,185,150,166,153,113,116,114,112,110,109,110,111,111,111,119,131,132,177,207,148,130,134,136,112,136,119,110,203,162,146,177,162,132,101,114,111,109,109,109,109,111,111,117,131,132,172,186,132,132,149,154,148,128,107,125,186,123,137,178,170,140,112,114,111,109,108,108,109,109,110,119,132,133,164,171,116,142,156,162,156,131,121,129,133,129,148,164,158,137,112,112,110,108,108,108,109,110,110,120,131,132,168,206,137,135,157,167,154,123,117,127,129,141,148,140,124,118,109,111,111,108,108,108,109,110,109,118,131,133,170,184,198,164,137,133,124,114,120,125,128,133,142,136,109,104,105,112,111,108,108,106,108,109,109,116,131,130,203,187,177,192,152,119,90,92,116,129,132,139,150,137,109,105,104,112,109,107,108,106,108,109,109,117,129,136,166,180,191,182,171,152,106,66,75,96,138,139,141,124,107,107,108,104,102,100,100,100,101,102,103,111,123,135,142,151,169,163,165,146,137,92,76,86,134,150,132,117,114,116,116,144,140,137,134,132,127,127,128,133,139,144,151,157,159,146,138,151,174,130,81,100,110,147,156,143,134,127,121,147,144,143,142,141,141,144,144,141,139,137,135,139,143,144,142,143,196,146,102,115,102,115,134,134,127,118,113,134,133,133,132,132,133,134,133,133,134,129,126,129,132,133,136,127,148,132,134,139,133,130,121,112,112,110,106,138,139,140,138,138,138,140,140,138,139,139,138,140,141,140,141,142,138,140,141,143,143,150,150,129,114,109,105,139,140,142,141,140,139,140,140,140,140,141,140,140,140,139,140,141,141,141,142,139,138,150,161,147,130,115,122,140,141,142,142,141,139,141,142,141,142,141,142,142,141,140,140,141,141,142,141,141,140,136,149,183,139,141,148,140,140,141,139,140,140,140,140,140,141,141,141,142,141,140,142,143,142,142,141,141,141,140,139,214,203,181,173
16,117,119,119,122,128,131,134,137,140,143,144,146,148,150,150,151,152,154,156,155,156,157,156,156,156,154,155,156,118,120,120,122,127,132,135,137,141,142,143,146,149,150,154,155,157,157,160,161,161,159,156,156,158,157,156,156,117,119,120,122,127,133,136,139,141,143,145,149,150,148,140,132,126,122,122,127,136,153,164,160,157,158,157,158,119,120,120,124,128,134,136,140,142,141,139,134,123,113,101,89,78,75,75,65,56,62,101,141,164,157,159,159,119,119,120,124,129,132,136,134,143,116,113,104,99,101,95,86,77,65,63,65,52,33,31,39,98,164,160,159,118,119,121,127,129,137,149,150,160,124,115,99,92,97,91,82,77,70,57,60,61,43,38,36,25,102,169,158,120,120,122,128,127,142,166,162,160,135,117,95,83,86,85,83,74,74,62,57,55,44,43,40,43,30,137,167,119,120,123,127,128,136,156,165,161,130,112,82,74,74,73,79,74,69,68,60,55,48,43,39,45,30,65,174,120,121,123,127,127,143,155,171,160,128,94,71,57,63,65,72,73,68,74,69,52,50,52,43,34,46,25,135,119,121,123,127,127,144,159,172,152,119,71,55,36,50,67,76,82,76,79,77,55,48,56,39,37,48,30,64,119,121,124,128,131,137,161,171,143,97,58,53,21,4,68,80,97,94,95,83,59,52,60,39,40,46,46,21,121,121,123,128,132,131,162,167,128,83,49,39,4,0,40,74,96,120,119,96,60,55,61,41,40,46,51,37,121,121,122,127,132,133,157,156,111,76,42,29,21,0,27,54,100,131,120,96,60,56,51,41,41,43,48,48,119,120,123,128,131,135,149,137,94,69,33,38,37,34,39,28,120,125,101,88,66,57,43,43,44,45,47,50,117,119,121,125,128,133,142,125,78,46,24,44,42,35,26,45,133,109,96,85,64,45,44,43,43,47,48,50,116,119,121,126,129,136,152,117,59,45,14,32,37,57,97,127,123,94,92,74,46,35,43,46,44,47,47,48,119,119,123,127,129,137,153,111,53,76,62,81,124,156,155,133,99,89,81,54,32,38,43,47,49,48,47,46,118,119,122,127,130,138,160,107,42,125,156,156,159,158,144,121,82,71,62,56,37,39,43,46,51,50,49,48,117,119,123,128,129,139,154,94,47,144,152,152,154,156,146,107,74,47,74,77,45,43,44,47,51,50,51,51,115,118,122,126,128,139,148,67,65,156,150,152,154,156,149,105,60,53,123,96,63,52,46,48,50,50,52,52,116,119,123,125,127,140,139,49,86,156,149,151,154,156,152,115,36,91,158,109,81,60,51,47,49,52,53,55,113,115,119,126,124,151,130,38,115,153,149,151,155,158,149,126,44,113,172,119,97,73,59,51,50,50,51,53,113,117,121,123,117,166,99,46,133,140,143,145,145,148,140,123,68,94,166,122,108,86,70,58,54,53,53,56,71,71,74,76,70,102,63,50,75,74,76,79,81,81,81,81,69,65,79,80,115,97,81,70,64,58,55,57,63,61,61,64,62,62,62,60,61,63,62,62,64,61,62,63,61,60,57,55,101,108,91,78,70,64,59,57,66,67,68,68,69,69,68,67,69,71,73,70,69,70,70,69,70,68,69,60,85,119,99,86,77,71,66,62,66,67,67,68,69,68,66,68,69,69,69,68,67,69,68,67,73,77,76,70,74,120,109,93,84,79,72,67,68,68,67,67,68,67,67,69,68,68,68,67,67,69,68,67,68,67,68,69,65,117,119,105,95,87,75,69
20,101,105,108,116,134,149,155,160,169,175,179,183,187,194,186,196,200,196,197,197,197,197,197,196,196,195,194,192,101,105,109,118,137,153,159,164,174,180,184,188,190,219,164,161,193,201,202,201,201,201,201,200,199,199,198,197,103,107,110,121,141,156,162,169,179,185,190,195,195,233,174,163,166,169,214,205,206,205,204,205,203,202,202,201,103,108,111,124,144,158,164,172,183,190,194,200,200,239,176,168,200,128,208,213,210,210,209,209,207,206,206,205,104,109,111,126,146,160,166,175,187,193,198,204,205,235,174,151,216,122,179,223,214,215,215,213,212,211,210,209,105,108,111,129,148,163,169,177,189,195,201,207,209,235,197,139,211,144,154,228,218,219,218,217,216,216,214,213,105,109,112,132,151,164,170,180,191,198,203,209,209,239,203,134,209,174,139,226,224,223,222,221,221,220,219,217,106,109,113,133,151,166,172,182,194,201,207,213,213,242,192,130,202,180,129,221,229,227,226,225,224,224,223,221,107,109,115,134,153,168,174,184,196,204,210,216,216,250,205,131,203,204,130,213,234,229,230,229,228,228,226,225,107,109,115,136,155,170,175,186,198,206,211,216,218,242,200,128,192,216,138,203,240,231,232,231,231,231,230,227,108,110,117,137,157,171,176,189,201,207,215,215,191,224,161,115,186,212,135,191,245,234,235,234,234,233,230,229,107,110,118,139,159,172,179,191,203,209,222,245,220,216,191,116,168,205,131,177,249,236,236,235,235,238,244,238,107,108,119,142,162,174,180,193,203,207,223,255,247,183,190,171,140,148,120,166,247,236,244,248,242,225,185,127,108,108,120,143,164,176,181,193,214,201,198,205,237,194,132,162,177,134,100,140,255,244,216,174,137,104,78,80,106,108,122,145,164,177,183,193,234,251,213,150,186,233,151,106,158,172,126,110,186,135,93,78,77,88,93,89,104,106,121,145,165,176,184,196,226,227,238,184,132,217,223,121,127,180,177,126,83,75,77,83,82,75,91,86,103,104,120,146,166,176,183,199,217,159,168,201,176,181,225,147,125,170,189,163,107,75,78,69,88,75,78,87,102,104,122,146,167,177,185,200,227,197,147,135,187,176,135,127,120,129,177,177,140,92,82,69,73,83,72,79,98,100,120,147,169,179,188,202,232,205,145,128,136,146,141,158,164,153,178,173,154,112,68,86,67,74,74,75,127,129,134,145,158,165,173,179,218,197,158,153,155,166,182,202,227,229,199,148,144,112,49,80,81,67,73,70,133,134,133,130,133,135,139,130,179,231,197,161,159,187,205,234,250,231,193,145,127,102,44,63,86,76,72,66,134,135,138,140,140,140,143,138,159,236,209,178,161,195,205,241,248,225,188,146,124,100,50,50,78,79,77,69,136,137,138,139,140,142,144,142,146,229,226,203,162,200,204,235,239,209,178,148,124,100,64,43,66,79,77,74,136,136,137,137,138,140,142,145,138,210,233,213,168,200,201,214,232,208,174,146,123,91,75,45,52,77,75,73,135,135,137,137,138,139,140,143,137,176,230,216,181,204,185,191,215,217,175,141,123,78,79,57,41,69,76,68,135,135,136,136,138,139,139,142,143,143,208,226,197,204,180,169,203,207,166,131,116,68,78,71,42,53,77,64,135,135,136,136,137,139,140,140,143,138,162,223,207,197,180,153,175,185,154,133,98,41,73,79,57,41,67,72,134,134,136,136,137,138,139,139,140,143,138,205,216,192,173,156,151,167,153,137,70,37,60,81,68,47,50,70
12,113,116,119,121,124,126,127,130,132,134,136,138,142,143,142,141,144,145,146,147,146,147,145,146,146,148,149,148,114,118,121,123,125,128,129,132,133,135,139,141,142,145,147,148,145,146,141,140,150,148,148,149,148,149,149,149,116,120,122,124,127,129,132,133,135,137,141,142,142,130,109,131,152,151,128,92,105,158,152,153,155,150,152,149,117,121,123,125,128,131,132,134,137,139,140,146,161,134,110,85,155,161,134,108,60,144,132,124,136,156,152,153,119,122,125,127,128,131,133,136,138,141,139,156,177,152,136,82,126,170,128,119,77,72,110,106,75,130,160,152,120,122,126,128,130,132,135,138,140,142,141,161,179,162,134,89,122,175,129,120,73,51,125,108,74,61,160,153,121,124,127,130,132,134,137,140,140,143,143,160,179,175,142,106,121,180,137,117,58,67,138,104,64,39,143,160,122,126,128,131,133,136,138,141,144,144,144,149,139,170,154,114,108,172,130,100,42,79,140,100,61,36,132,165,124,127,129,131,134,136,139,141,143,144,157,130,81,109,150,96,93,149,106,90,47,70,129,98,65,35,128,167,124,127,130,133,135,138,140,143,142,163,162,111,87,64,118,85,77,134,101,91,50,66,119,97,68,31,128,169,126,128,131,134,135,139,142,140,159,162,148,121,103,63,80,86,57,124,100,75,47,66,123,101,68,33,142,164,126,129,132,134,136,139,142,143,159,127,145,137,103,72,46,82,73,106,123,87,54,91,161,124,75,44,162,160,126,130,133,135,137,140,142,150,162,123,128,131,98,77,34,80,90,102,144,102,58,108,166,132,57,37,156,164,127,132,134,135,139,142,142,153,156,131,105,121,104,75,29,46,78,51,100,97,36,85,121,68,52,50,82,169,129,132,133,136,139,143,142,157,156,131,98,124,100,64,43,10,20,0,75,127,113,131,119,91,79,67,55,156,129,133,134,137,140,143,142,159,160,132,103,110,94,59,50,15,21,55,142,157,152,140,126,99,77,60,65,161,130,133,136,139,141,143,144,160,159,131,101,90,93,68,61,23,42,114,158,155,150,132,116,90,71,51,78,172,131,134,137,140,142,145,146,162,158,138,119,92,76,84,62,42,90,155,159,166,147,123,107,86,67,47,92,176,131,134,136,140,143,145,145,162,157,144,130,117,92,77,80,100,130,168,165,170,138,114,99,77,62,48,133,173,132,135,137,141,144,145,145,160,161,149,134,126,120,102,105,119,130,169,168,161,126,104,92,74,53,74,169,166,132,135,137,140,142,146,147,155,159,153,139,132,130,117,104,111,127,172,165,144,119,97,84,69,46,108,175,164,131,134,137,139,142,146,148,152,153,151,144,136,131,121,107,101,133,172,158,131,113,91,73,64,45,138,173,166,132,133,136,139,143,147,148,150,146,149,145,138,133,122,106,95,131,158,146,114,99,82,66,56,60,163,168,166,132,134,137,140,143,146,148,149,150,151,148,139,133,121,108,91,126,143,127,101,87,71,63,45,103,174,165,168,132,135,137,142,144,146,148,150,151,154,145,134,128,114,100,86,120,125,103,91,75,61,56,57,155,169,166,168,132,135,138,140,144,147,148,150,149,152,135,119,113,98,80,87,113,112,91,84,67,62,50,112,173,166,166,167,132,135,138,140,143,147,148,148,147,156,129,114,105,83,81,88,110,107,90,79,67,55,66,162,168,167,167,167,132,135,139,142,145,146,151,144,153,160,130,123,107,91,94,97,114,102,89,69,60,46,114,171,167,168,169,168
21,54,62,71,87,104,113,121,125,130,133,134,139,142,146,150,151,153,155,157,159,159,160,160,161,162,161,161,161,55,63,73,90,105,116,121,126,131,135,136,141,144,147,144,154,156,158,159,160,162,163,164,164,164,163,164,163,58,66,74,94,108,117,124,129,133,136,139,141,155,160,81,145,162,160,161,162,165,166,165,165,166,166,165,165,59,68,77,96,110,118,125,131,134,137,142,141,166,162,74,138,167,161,162,165,167,167,165,165,168,168,168,168,60,68,79,98,111,120,126,131,138,141,145,142,168,160,82,133,168,164,166,166,170,170,170,173,172,170,169,169,61,70,81,100,111,123,128,132,138,142,145,144,171,169,89,131,171,164,168,167,172,174,166,156,172,172,172,172,63,72,84,103,113,124,130,135,140,142,146,146,172,169,94,123,175,167,171,171,172,173,139,82,154,179,174,175,64,74,87,106,115,125,131,136,141,142,147,147,172,166,96,109,176,167,172,171,176,161,109,89,174,177,175,175,67,73,87,106,116,124,132,139,142,143,149,148,180,170,96,106,178,167,173,177,175,138,83,148,186,177,177,177,68,75,91,109,118,127,133,140,143,144,149,150,190,175,106,113,178,169,174,173,152,105,112,187,178,179,178,178,68,77,94,110,119,129,135,139,142,145,161,135,170,155,101,108,179,170,178,168,127,83,168,184,179,181,181,180,69,78,95,110,120,129,135,141,143,154,158,107,108,108,84,110,179,172,177,159,91,125,190,179,182,182,181,182,72,79,97,111,120,130,137,140,156,176,119,103,72,68,70,112,158,159,160,114,86,180,182,183,184,183,182,182,72,79,98,112,121,130,137,141,183,191,160,132,78,49,68,100,134,134,118,69,146,190,181,183,183,184,184,182,72,81,101,114,122,130,136,152,189,200,204,130,80,52,62,86,106,113,76,99,189,182,184,185,185,185,185,185,73,82,101,113,123,132,135,160,169,158,168,113,75,61,59,77,90,91,68,168,188,184,185,185,185,185,186,186,74,83,103,114,123,133,135,183,167,99,124,133,88,66,60,65,76,58,106,194,182,185,187,187,187,186,187,186,75,85,105,115,125,131,143,183,129,93,105,147,101,72,63,58,67,54,137,193,184,187,186,187,186,188,189,187,74,86,107,114,126,128,159,182,138,133,126,169,120,98,73,58,62,55,146,194,187,188,188,187,187,188,189,187,75,88,105,114,128,127,171,185,163,124,171,202,127,116,79,57,60,59,162,191,187,189,190,190,190,190,189,187,75,90,108,115,128,129,181,200,154,134,212,175,122,110,79,57,57,65,179,190,188,188,189,190,190,190,190,189,77,90,108,116,128,129,190,188,141,154,197,153,117,99,88,63,50,89,194,187,188,189,190,190,191,191,190,190,76,90,107,116,129,130,182,166,154,153,193,149,138,96,74,65,48,128,196,186,189,189,190,191,192,192,190,190,75,92,108,119,131,133,164,173,176,152,197,139,130,100,66,62,51,157,193,186,190,189,191,192,193,192,191,191,76,94,109,119,129,135,154,198,164,146,182,123,105,79,62,57,62,174,191,188,190,191,192,193,193,193,192,192,74,94,109,118,128,135,150,187,159,137,155,114,88,74,63,47,80,187,186,190,192,193,194,194,194,193,192,193,72,92,105,117,127,137,144,164,146,140,143,123,105,84,66,41,94,191,183,186,190,190,191,191,192,192,192,192,73,92,104,117,127,137,142,156,152,147,143,137,121,85,63,35,103,191,181,185,189,190,190,191,191,192,193,191
23,164,167,170,173,176,178,180,182,183,184,184,183,183,184,183,182,182,181,181,179,178,177,178,177,176,178,191,201,167,170,174,177,179,183,185,185,187,188,188,188,188,188,189,186,187,185,182,182,181,181,180,179,178,180,165,162,170,174,178,180,183,188,189,190,192,192,193,193,192,189,189,189,185,188,191,185,184,185,185,183,182,183,172,120,174,178,182,185,188,191,194,195,196,197,197,196,196,205,218,219,192,161,177,189,191,188,188,185,185,184,187,154,177,180,185,188,191,194,197,199,201,201,203,226,226,233,239,225,210,193,185,183,178,195,192,190,189,187,186,185,179,183,187,190,193,197,200,203,205,203,215,239,211,189,182,143,155,176,172,144,151,200,195,193,192,191,190,188,181,186,190,192,196,201,203,206,208,205,229,225,209,117,132,173,189,172,153,155,193,202,199,197,195,194,193,191,183,188,191,195,198,202,205,208,209,211,238,224,204,157,187,192,219,212,212,213,207,204,204,203,200,197,196,194,186,190,193,197,200,204,207,211,211,219,233,219,227,238,205,116,195,218,209,207,209,208,207,206,204,201,200,197,187,192,195,199,202,206,209,213,212,225,233,238,247,234,198,119,180,214,219,217,213,210,211,210,208,206,203,207,189,194,196,200,205,208,211,214,212,232,246,244,222,216,177,176,232,166,169,198,212,220,213,213,212,209,213,170,191,195,199,202,207,210,212,214,227,238,234,210,190,206,190,198,224,170,107,99,123,194,221,214,213,215,204,97,193,197,201,204,208,210,217,233,236,224,212,214,221,228,224,182,178,164,111,98,95,138,227,215,212,224,155,87,193,199,203,206,208,223,232,229,228,230,236,240,235,222,206,169,112,153,125,110,103,140,227,220,228,222,110,90,195,200,205,208,211,231,220,218,214,212,222,219,204,190,181,154,94,92,113,112,100,155,238,202,179,137,94,92,196,202,206,208,215,240,226,205,201,206,208,208,204,197,188,151,101,72,102,120,114,123,136,102,79,79,89,90,199,203,206,209,217,234,223,209,210,218,221,219,199,185,173,134,103,83,123,141,128,80,65,86,83,85,87,86,200,203,206,211,214,221,225,223,223,213,214,175,153,158,150,127,102,81,103,138,127,88,68,70,70,87,84,82,200,204,208,212,216,219,224,222,215,198,174,137,94,110,151,129,95,92,112,125,114,78,78,73,68,73,79,74,201,206,209,214,217,217,217,226,226,183,142,118,87,116,164,122,84,100,116,121,98,76,72,74,76,70,70,73,201,205,209,213,216,214,210,234,220,144,115,84,93,126,116,90,99,114,113,113,85,80,78,65,67,75,73,74,202,205,209,213,217,212,208,227,198,146,122,94,72,74,79,99,115,124,123,100,69,77,81,71,59,64,67,79,202,206,210,213,217,207,209,228,199,150,128,100,76,85,110,122,129,129,122,92,61,66,80,79,63,58,63,68,201,206,210,213,217,204,218,232,205,157,133,110,93,95,124,130,132,127,112,81,63,66,70,80,71,56,62,59,207,211,215,219,223,210,215,226,203,166,138,121,102,96,114,130,132,127,99,64,66,66,68,71,78,62,56,61,175,181,185,191,197,191,214,220,200,166,139,130,109,103,103,128,134,125,80,57,68,62,63,66,69,71,53,56,127,128,130,132,127,144,213,212,191,158,141,144,111,107,108,121,130,96,73,68,65,61,56,64,64,67,60,49,137,138,138,141,129,131,215,200,175,147,154,148,112,109,108,120,94,59,74,71,69,64,54,56,62,63,62,48
7,101,116,126,133,139,141,144,145,149,152,153,154,155,157,158,158,158,157,156,156,154,151,150,149,147,145,143,141,103,117,127,134,140,144,144,146,151,154,156,157,158,158,159,159,159,159,158,157,155,154,152,150,149,149,146,143,104,119,129,135,141,144,147,149,152,156,156,159,159,161,163,162,161,160,160,160,157,156,154,153,152,150,149,146,106,120,131,137,142,146,148,151,155,156,157,160,163,164,164,164,163,163,163,162,160,158,157,157,154,153,151,148,107,120,131,138,143,148,150,153,157,158,160,162,163,165,165,165,165,165,164,164,162,160,159,158,156,154,153,150,109,121,132,139,145,149,150,154,158,159,162,164,164,166,166,166,166,166,164,164,163,162,161,160,158,156,154,152,110,122,132,140,147,150,151,154,159,160,162,164,165,168,169,173,174,175,172,171,170,169,165,164,163,158,156,154,110,122,133,141,148,151,153,159,164,167,168,167,165,163,159,149,139,136,135,138,122,108,126,129,143,161,156,156,111,123,134,141,148,153,151,136,128,120,119,119,110,95,86,94,62,67,76,75,71,70,125,119,101,166,158,157,113,125,134,141,148,151,131,92,75,86,87,93,92,83,74,62,57,57,63,53,64,60,72,63,104,161,163,159,114,125,135,140,146,138,117,78,55,62,65,68,72,75,77,78,80,60,61,74,66,60,52,45,66,89,125,164,114,126,135,135,131,118,109,89,70,64,73,85,91,94,94,89,82,49,49,76,62,51,52,40,57,77,71,160,120,133,130,126,118,116,112,97,89,90,96,105,93,89,86,79,55,37,38,40,32,27,27,23,30,45,98,166,141,134,129,126,126,123,105,72,48,59,74,76,61,52,47,40,35,53,72,92,104,116,122,128,133,142,164,165,142,136,136,133,121,99,93,48,30,48,45,23,49,106,121,144,156,170,180,186,185,184,182,181,177,173,167,165,139,138,135,118,96,93,79,44,30,19,6,0,17,62,64,123,192,180,176,175,174,174,173,171,169,168,167,165,142,139,121,100,88,80,82,81,53,17,13,19,14,3,0,0,162,184,179,179,177,177,176,174,173,169,168,166,137,120,95,87,84,83,94,100,64,20,18,22,22,20,13,13,166,185,179,179,180,178,177,176,175,173,171,167,111,94,81,79,75,68,75,69,32,12,4,2,12,12,8,0,153,188,178,180,180,179,177,176,174,174,171,167,92,84,78,77,71,55,51,40,22,1,0,6,17,18,4,10,152,188,179,181,180,179,176,176,174,173,170,167,86,77,70,62,51,36,33,42,38,14,17,29,25,5,25,161,187,182,182,182,180,179,176,175,175,173,171,168,71,58,53,48,46,44,54,64,47,21,10,9,19,45,151,189,181,182,182,181,180,178,176,174,174,173,171,168,66,61,59,52,48,48,52,47,19,14,73,117,150,178,183,176,180,179,179,178,177,176,174,173,171,171,168,166,58,58,55,47,37,31,26,25,56,136,179,183,181,176,176,180,180,179,178,178,177,176,174,174,173,170,168,165,21,23,39,38,39,49,87,136,169,175,169,171,174,176,178,180,180,180,179,178,177,175,174,174,172,169,168,164,0,0,124,125,138,153,164,165,164,167,170,174,174,175,176,177,177,177,177,177,176,174,174,172,169,166,165,162,0,0,141,139,150,152,153,159,164,168,170,175,177,179,179,180,179,179,180,180,180,178,176,176,172,171,171,167,0,30,162,140,144,146,147,148,149,150,147,147,149,149,149,144,142,142,140,135,131,128,125,121,117,111,104,68
4,193,193,193,194,194,194,193,193,193,194,193,194,194,194,195,195,195,194,194,193,194,194,193,193,193,192,190,189,195,194,195,194,194,194,195,195,194,195,194,194,194,196,196,196,197,196,196,195,194,194,193,194,193,192,191,191,196,195,196,196,196,195,196,196,196,196,196,196,193,194,197,196,196,196,199,198,196,195,195,195,195,193,192,193,196,197,197,196,198,197,197,197,198,197,196,207,196,171,172,194,183,162,176,199,198,196,195,195,195,195,194,194,196,196,198,199,200,199,198,197,200,196,189,197,220,189,146,184,197,155,121,175,173,181,197,196,196,196,196,195,199,199,199,200,201,200,200,198,210,216,198,157,192,207,146,178,210,166,120,173,154,120,170,201,198,198,197,196,200,200,200,200,200,201,200,203,209,212,202,156,165,201,137,162,215,165,138,195,167,114,115,197,200,199,198,199,200,201,201,202,201,202,200,211,202,192,204,148,144,194,145,137,194,142,135,200,178,121,107,196,200,201,199,200,200,201,202,203,202,201,203,215,183,155,192,154,127,189,178,158,169,160,179,211,190,132,127,203,201,201,200,201,200,201,202,204,203,202,210,210,180,145,166,149,109,148,170,177,176,189,199,200,176,145,124,197,203,202,201,201,201,201,202,204,203,206,215,203,186,156,133,110,95,119,120,153,162,171,180,177,159,163,112,167,207,203,203,202,202,202,202,204,205,210,211,186,161,144,124,100,97,123,98,115,133,137,149,146,164,172,124,133,206,203,203,204,202,203,203,204,205,213,213,180,144,122,114,103,108,127,115,140,146,130,111,146,199,187,147,110,188,206,205,206,202,202,203,205,205,219,224,194,155,119,99,97,114,120,137,171,174,147,140,170,207,200,173,114,149,209,206,208,202,202,202,204,205,222,227,203,162,118,100,97,120,130,168,177,180,176,196,200,195,205,175,119,118,206,207,207,201,201,202,203,204,224,227,211,167,119,109,102,113,138,169,178,194,204,203,202,191,181,156,121,105,195,207,207,201,201,203,203,205,226,225,215,170,126,127,120,118,149,172,195,205,204,199,191,178,151,130,114,111,194,206,206,201,201,203,205,208,225,222,208,171,151,143,128,156,187,202,213,209,200,189,177,159,134,108,100,161,205,206,206,202,202,203,205,208,225,222,211,187,169,152,132,176,210,212,216,208,192,178,163,144,118,95,138,202,208,208,207,202,202,204,204,203,224,222,218,202,177,164,147,171,212,213,212,199,176,164,150,130,103,113,193,210,209,208,207,202,203,204,206,199,216,221,222,208,186,171,160,171,209,210,202,186,164,150,134,114,99,167,210,210,210,208,207,200,201,202,204,198,206,220,214,198,186,174,163,173,199,198,186,171,152,139,120,96,131,207,212,211,211,211,210,142,144,147,150,148,188,225,208,191,185,179,168,174,187,185,170,153,138,129,108,98,175,205,206,206,206,205,205,99,100,101,103,96,169,222,206,197,194,184,170,174,185,181,165,139,124,116,98,102,129,132,134,137,143,163,191,103,104,103,105,98,169,223,208,201,198,186,171,174,187,184,161,124,111,102,94,99,97,100,113,152,173,186,197,104,104,104,105,98,168,226,210,203,201,197,175,167,184,177,142,110,101,94,103,111,127,175,195,195,212,206,185,105,106,105,106,100,166,226,210,203,208,207,176,156,177,163,125,102,91,97,142,181,200,214,203,170,173,199,198,103,105,104,106,101,167,221,204,198,207,208,175,152,171,155,115,94,91,154,210,220,207,193,178,161,144,164,190
15,42,42,43,45,46,47,50,63,75,86,96,105,113,117,118,121,127,132,137,142,146,149,150,153,155,158,159,162,42,42,44,45,45,46,51,63,75,87,97,106,113,118,119,122,127,132,139,143,146,150,151,155,158,160,161,164,42,42,42,45,46,46,51,65,77,88,97,108,115,118,118,122,128,134,140,143,148,151,153,156,159,162,164,166,42,42,42,45,48,47,52,65,78,89,99,108,115,120,120,121,129,137,140,144,149,151,155,158,160,163,165,167,42,42,45,42,43,46,52,67,80,89,100,110,115,120,121,124,130,136,140,145,149,152,155,159,161,164,165,167,43,44,38,57,76,55,56,67,81,92,101,111,118,121,121,125,131,137,142,146,151,154,156,159,162,164,166,168,43,42,41,150,120,93,90,83,79,84,99,107,106,107,115,127,136,141,145,148,149,154,157,160,164,165,166,169,43,41,50,137,100,83,83,80,67,85,85,88,80,81,83,91,104,123,139,151,157,157,158,160,163,165,167,170,42,45,40,68,68,50,57,45,49,77,66,69,63,87,89,83,83,87,96,104,114,139,165,161,163,166,169,171,44,41,44,42,43,44,47,41,46,52,48,43,51,86,83,81,84,88,98,83,66,59,107,174,162,167,170,173,42,42,42,46,46,47,55,70,79,80,83,79,69,71,65,63,56,92,109,96,79,76,40,114,178,164,171,173,42,42,43,44,45,46,54,70,82,97,106,115,121,99,60,55,94,113,112,103,75,95,70,33,137,178,169,174,42,43,43,44,46,46,56,70,83,90,108,130,116,97,74,107,152,96,114,82,114,103,87,61,40,162,176,173,42,41,42,43,46,44,56,72,77,114,158,121,82,74,59,71,133,72,66,123,131,94,124,91,36,66,185,174,41,40,40,41,44,42,54,72,70,154,158,78,66,77,75,49,73,31,66,171,85,95,132,106,65,17,118,190,41,40,39,41,42,42,54,72,70,138,124,63,75,95,101,92,65,34,81,119,47,90,132,115,75,36,33,136,40,39,38,40,41,42,56,72,71,132,112,41,87,102,114,100,60,56,65,67,76,96,104,95,68,38,28,37,38,38,38,40,41,41,54,72,71,134,168,80,75,104,112,89,49,51,63,68,82,88,73,48,45,35,30,33,37,37,37,39,40,40,53,71,73,134,133,161,112,68,57,49,45,59,61,65,74,89,71,35,33,33,33,38,36,37,36,39,38,40,51,69,74,176,134,139,143,94,50,2,11,45,66,71,83,94,66,36,34,34,36,39,33,34,34,36,35,38,52,66,77,115,130,147,132,121,89,28,0,0,22,82,78,74,49,36,38,40,38,37,36,34,33,33,32,36,49,64,78,86,99,114,105,108,88,77,11,0,18,78,94,70,52,51,53,51,44,38,96,91,87,82,84,86,86,89,92,96,101,103,84,77,107,138,54,1,35,35,88,101,86,71,59,51,42,39,73,72,71,74,77,74,73,72,64,63,66,71,75,70,81,155,59,45,52,35,49,64,64,57,47,41,36,34,77,76,76,77,76,75,77,79,73,72,76,76,78,79,72,88,66,82,82,76,74,58,42,39,37,32,29,29,82,79,78,79,80,79,78,81,81,80,83,81,81,83,84,78,84,80,83,84,102,95,68,48,40,33,29,30,84,84,80,80,82,81,82,82,82,83,82,83,82,81,82,82,83,83,81,80,96,104,92,60,53,65,53,34,83,82,80,80,82,84,83,84,83,84,85,83,82,83,82,82,83,83,82,84,71,104,143,84,94,100,81,60
12,189,189,192,195,196,196,198,201,202,203,203,202,201,201,200,198,198,199,198,196,196,196,195,194,193,191,191,192,191,192,195,197,198,199,201,203,204,204,204,204,203,203,203,202,201,199,200,199,198,198,196,196,194,193,192,192,193,194,196,197,200,202,203,204,205,204,206,206,204,205,204,204,204,202,201,201,199,200,198,198,197,197,195,193,195,196,197,199,203,203,204,206,207,206,206,207,209,208,206,206,207,209,205,202,201,202,201,200,198,198,197,196,195,197,199,201,204,204,206,209,210,210,208,209,204,209,212,206,189,178,203,210,209,205,202,204,200,199,199,198,196,199,202,203,206,207,208,210,210,211,213,211,176,144,199,214,169,96,126,205,177,197,211,202,203,203,202,200,199,202,204,206,208,211,213,213,214,211,223,228,178,113,117,211,149,118,74,152,135,92,165,211,202,204,202,202,202,204,205,210,211,212,215,214,212,210,224,216,160,112,86,211,161,132,81,131,141,83,76,195,207,203,204,204,204,204,208,212,212,212,213,215,226,175,182,215,148,99,80,226,216,151,107,127,127,93,67,179,214,205,206,205,205,207,209,211,213,215,214,246,231,183,137,204,199,104,67,253,243,140,114,179,146,100,64,189,215,206,208,207,207,209,212,213,216,215,228,255,232,199,114,198,245,116,82,181,175,85,150,216,144,86,66,201,215,211,209,208,208,212,213,213,218,213,238,252,232,192,114,136,194,115,95,110,159,135,170,169,94,50,96,221,212,214,212,211,210,213,214,215,217,220,255,238,196,149,111,64,81,82,108,130,190,228,182,132,99,53,172,225,213,215,214,212,211,213,217,220,215,249,255,229,161,112,98,63,29,127,224,218,207,189,158,143,142,72,187,224,215,215,214,213,213,214,218,221,215,255,255,210,153,153,109,37,113,243,241,226,197,181,145,134,125,73,192,228,217,217,215,214,213,215,219,222,218,255,255,200,149,182,124,115,225,255,242,225,196,171,151,124,102,70,209,224,221,219,218,217,214,216,219,222,224,255,255,220,204,169,177,210,250,250,238,216,192,161,145,113,87,60,203,227,221,221,219,218,215,218,222,222,229,255,255,237,229,184,176,219,251,243,224,211,179,147,131,105,80,52,193,232,222,223,220,220,218,220,222,225,228,255,255,244,233,192,190,228,237,227,207,196,164,137,119,93,70,51,210,231,224,225,222,221,219,221,223,227,228,255,255,251,231,197,179,219,220,209,201,183,148,122,101,85,44,124,237,223,226,224,223,222,220,221,224,226,223,254,255,249,229,186,173,196,202,200,187,166,130,107,95,61,100,232,229,226,227,226,225,224,220,222,223,232,235,244,252,247,204,160,175,192,198,202,182,152,130,110,75,102,230,232,227,228,228,227,226,225,220,220,230,204,184,245,234,216,191,185,195,193,209,206,175,136,127,97,64,210,240,230,230,229,228,227,227,226,221,222,238,134,41,212,251,224,218,206,184,174,206,191,146,119,114,59,158,245,231,233,232,230,230,229,227,227,221,230,200,104,80,97,211,228,214,193,170,155,184,156,120,109,69,114,247,234,235,234,234,232,232,230,229,229,219,238,146,84,110,51,78,118,110,104,99,105,130,116,100,78,70,229,241,235,235,235,235,234,234,232,230,230,225,216,106,90,103,72,15,59,52,48,36,32,32,42,51,29,64,219,241,236,236,235,235,234,233,231,231,231,231,162,89,93,98,86,4,38,55,50,38,35,30,26,20,15,0,159,252,233,237,235,234,233,231,230,231,230
7,132,136,138,141,144,146,148,149,152,154,155,156,159,160,161,161,162,162,164,164,164,164,164,165,165,165,163,163,133,137,140,142,144,147,149,151,154,155,156,159,160,160,161,163,163,163,164,165,165,165,165,165,166,166,165,165,136,139,140,143,147,148,150,151,155,155,156,160,160,161,161,162,163,165,165,166,166,166,166,166,166,166,165,165,137,139,142,146,149,150,152,154,155,157,160,158,161,164,163,163,163,165,166,167,167,167,167,167,167,168,167,165,138,140,144,147,149,152,155,156,157,158,161,162,163,163,163,165,165,165,166,168,168,168,168,168,168,168,168,165,139,142,145,149,151,153,155,157,160,162,165,166,165,165,166,167,169,169,169,169,169,170,170,167,170,171,168,166,139,142,146,148,151,154,156,159,161,163,166,166,166,169,170,165,157,159,166,164,161,153,151,178,141,163,174,169,140,144,147,150,152,156,158,161,163,163,166,168,167,163,152,143,139,126,129,137,141,130,125,148,102,152,167,163,145,146,148,151,154,157,157,161,160,158,160,162,168,158,148,148,144,118,127,127,134,129,125,121,111,143,146,117,145,147,150,153,156,158,159,166,140,132,144,154,161,151,144,138,122,119,113,101,106,109,101,99,96,95,96,131,145,147,151,154,156,156,176,163,122,129,136,129,116,104,104,101,91,84,88,101,102,102,107,114,123,135,151,177,146,147,152,156,154,176,184,160,145,124,113,94,78,62,74,105,110,136,170,177,176,175,178,183,183,184,181,176,147,150,155,153,174,191,174,175,163,112,101,105,109,107,101,112,141,184,183,179,180,181,180,178,177,176,179,179,149,152,150,168,191,178,177,172,147,118,108,98,104,110,103,81,63,102,185,179,181,181,181,180,181,180,180,181,150,149,163,185,182,176,169,151,137,125,111,80,71,92,100,96,85,73,179,184,182,183,183,183,182,181,182,182,144,158,186,183,169,157,152,143,135,126,110,82,63,65,69,72,77,82,183,185,184,184,184,184,183,183,183,183,155,184,181,173,162,151,147,145,143,137,117,88,81,84,66,44,46,83,192,185,185,185,184,184,183,184,183,182,182,177,165,164,161,150,150,143,138,133,120,101,92,89,83,75,62,69,166,192,184,185,187,186,185,186,185,182,173,167,164,159,151,148,140,131,135,131,110,92,86,83,87,80,74,37,50,158,193,185,188,188,188,188,185,183,168,165,156,155,150,146,129,131,138,116,90,73,54,40,66,77,74,46,46,127,199,186,188,188,188,188,186,185,164,160,151,148,138,133,141,136,111,90,76,45,34,31,24,69,76,56,109,182,190,188,189,189,188,189,188,188,161,156,147,133,138,141,136,113,92,79,62,40,46,41,41,64,70,156,197,192,190,189,189,189,190,190,189,190,148,144,129,135,140,129,110,93,83,63,66,90,106,116,65,84,166,196,189,191,191,191,192,190,190,190,190,189,122,122,119,119,113,101,91,76,63,85,159,190,193,199,168,174,198,190,192,193,193,193,193,191,190,190,189,189,104,97,90,89,89,77,71,81,127,180,190,185,187,187,194,194,190,194,194,193,194,194,194,192,190,191,190,190,99,80,72,66,53,74,138,173,189,182,183,187,188,190,189,193,194,194,194,194,194,195,194,191,193,192,191,191,97,74,58,53,112,164,187,181,181,183,187,190,190,191,193,194,195,195,195,195,195,196,195,194,195,193,192,192,99,77,55,62,177,180,176,181,185,185,187,191,191,192,195,195,195,197,197,196,195,196,195,195,195,195,194,194
24,188,189,191,192,193,196,197,197,197,199,197,198,197,198,196,196,196,196,195,194,194,194,192,191,190,191,190,189,188,190,192,194,195,196,198,199,198,199,198,199,198,199,197,198,198,197,197,196,195,195,195,194,192,190,189,189,189,190,193,193,199,198,198,200,200,200,200,200,200,200,200,200,199,197,197,197,197,196,195,195,194,191,190,190,190,193,193,198,180,195,200,201,201,202,202,201,201,201,201,201,200,198,198,197,197,197,196,196,195,193,192,192,192,194,196,210,144,185,205,201,201,202,203,202,202,201,201,200,201,200,199,199,198,197,197,196,195,194,193,194,193,194,201,199,136,187,205,202,203,203,204,206,203,201,203,202,202,201,200,200,199,198,197,196,195,194,194,195,194,193,203,196,136,185,206,203,204,204,200,196,207,203,203,204,203,201,200,202,201,203,201,197,197,196,195,195,195,194,205,201,138,187,209,204,206,209,206,164,169,206,205,203,204,203,202,192,181,168,191,201,197,196,196,195,195,196,205,198,141,175,205,202,178,202,214,191,139,148,207,206,204,203,185,154,141,126,166,205,198,197,197,197,196,196,204,195,194,193,192,217,161,170,220,196,141,117,166,212,205,198,157,127,136,172,195,203,200,199,199,198,197,198,203,212,227,208,210,222,178,156,217,190,133,112,129,201,212,185,137,131,198,208,204,202,201,200,200,199,198,200,204,205,232,210,216,224,179,130,181,157,127,102,127,193,198,157,127,180,211,202,203,203,202,201,201,200,199,201,203,211,235,211,224,230,177,128,91,149,179,166,186,194,164,132,148,212,205,205,205,204,203,203,201,200,199,202,202,230,229,196,200,213,157,116,130,214,213,201,189,182,150,126,195,212,207,207,207,206,204,203,202,202,200,201,207,220,206,184,152,153,134,176,231,223,206,190,173,162,141,152,215,208,208,208,207,207,206,204,203,202,202,200,216,218,204,187,164,128,197,244,230,222,203,178,159,147,134,189,217,209,209,209,209,207,206,206,204,203,203,200,223,231,210,187,178,200,247,234,229,217,191,165,148,141,139,209,213,210,209,209,209,209,207,207,206,204,203,201,230,234,216,204,214,244,242,235,224,205,177,150,147,127,167,220,212,212,212,212,210,210,208,207,206,205,203,201,234,236,222,222,239,245,236,229,213,188,159,145,138,137,209,217,214,213,212,212,210,209,209,208,207,206,203,201,233,240,226,233,247,236,218,208,193,168,150,142,132,195,221,215,214,214,212,212,211,210,209,209,208,207,205,202,231,246,229,223,228,222,205,190,176,152,144,129,188,223,215,215,215,215,213,213,212,211,210,209,208,208,205,203,224,239,222,220,228,226,209,192,172,149,122,148,221,217,219,217,215,215,213,214,214,213,211,210,210,208,204,206,214,220,209,222,227,223,208,187,167,138,108,183,224,218,218,218,218,216,214,214,214,214,213,212,212,209,204,207,209,216,222,228,221,215,208,184,161,127,118,206,222,219,219,220,219,217,215,215,214,214,214,212,211,210,203,206,206,225,232,219,217,212,201,180,160,125,128,215,219,218,218,218,217,215,215,215,215,214,213,212,211,210,202,205,205,229,229,210,221,203,193,180,157,131,122,210,219,218,218,218,216,215,215,216,214,213,212,212,210,209,203,206,204,234,231,209,223,199,196,180,153,132,117,201,223,219,219,219,217,215,214,215,214,213,212,212,210,209,202,206,206,235,233,214,223,206,193,177,152,133,114,193,224,218,220,218,218,216,215,215,214,214,213,212,211,210
19,167,167,168,170,172,173,172,173,173,173,172,172,171,171,170,170,169,167,167,167,166,166,165,164,164,163,161,160,167,168,170,171,172,173,173,173,174,174,174,173,172,172,171,171,170,168,167,167,167,166,166,165,165,164,163,163,168,170,171,172,173,174,174,175,175,175,175,174,174,173,173,171,171,170,169,169,169,168,167,167,167,166,165,165,170,171,172,173,174,175,176,176,176,176,176,175,174,174,174,173,172,171,171,170,170,170,169,168,167,166,166,166,171,172,173,174,176,177,178,178,178,178,178,177,176,176,175,174,173,172,172,172,171,171,170,169,168,167,166,166,172,173,174,176,177,178,179,179,179,179,179,179,178,177,176,175,174,173,173,173,173,172,171,170,169,168,167,167,173,174,176,178,179,180,181,181,181,181,180,179,179,178,177,178,176,175,175,174,174,173,171,171,170,169,168,168,175,177,178,179,180,181,182,182,182,182,181,180,180,179,178,177,177,177,176,175,175,174,173,172,171,169,169,169,176,178,179,180,181,182,183,183,183,183,181,181,180,180,176,167,168,175,173,172,173,172,170,170,166,153,163,170,176,178,180,181,182,182,183,183,183,179,177,178,179,181,177,167,170,176,170,170,174,171,166,161,147,126,155,170,177,179,180,181,183,185,184,185,182,168,162,166,171,173,169,163,163,164,159,163,173,166,151,137,127,137,164,172,179,180,181,182,184,185,184,183,172,163,164,166,165,165,158,147,130,125,124,135,152,148,143,144,154,167,173,174,180,181,182,183,184,183,190,191,179,176,178,173,164,153,134,122,109,96,100,134,163,167,171,173,175,176,175,175,181,182,183,184,185,185,205,209,193,181,175,169,161,144,115,95,96,89,99,154,179,180,179,178,178,177,176,176,182,182,183,186,186,186,208,207,182,158,142,136,137,133,111,93,95,91,109,166,182,181,180,179,179,179,178,177,183,184,185,186,187,184,199,196,165,132,111,95,106,130,116,98,97,94,118,172,183,182,181,180,180,179,179,178,184,185,186,187,187,181,193,191,158,120,92,79,108,132,116,101,98,97,128,177,184,184,183,182,181,179,179,178,184,186,187,188,188,180,192,193,165,131,98,84,101,106,97,95,95,98,123,176,185,185,184,183,182,180,179,178,185,187,187,188,188,178,191,195,169,139,112,92,77,67,66,75,85,93,111,169,186,185,185,184,183,181,180,180,186,187,188,189,189,176,189,194,170,141,117,103,89,72,67,74,85,91,106,163,187,187,186,185,184,182,181,181,187,187,188,190,190,177,185,190,168,141,118,108,102,89,83,87,93,96,109,163,187,187,187,186,185,184,183,183,187,188,189,191,191,178,183,188,165,139,119,110,105,94,89,92,98,101,117,170,188,188,187,187,186,186,186,184,187,188,189,192,193,182,184,185,162,137,119,109,105,97,94,97,102,105,131,179,189,188,188,188,187,187,186,184,187,189,190,192,193,183,188,184,159,135,118,108,105,103,101,104,108,115,154,188,191,190,189,189,188,187,186,185,188,189,191,193,192,183,192,187,162,138,121,109,106,109,108,111,116,138,178,192,192,191,190,190,188,187,187,186,188,189,191,193,190,183,193,186,165,144,124,110,107,111,112,120,143,173,191,193,193,192,191,191,189,188,187,186,187,188,190,192,189,185,192,180,160,143,124,111,109,109,114,145,179,191,193,193,192,191,190,190,189,188,186,185,187,188,190,192,189,192,193,179,157,139,124,112,109,106,117,163,190,192,192,192,192,190,189,189,188,187,186,185
7,112,121,130,136,140,142,148,154,158,162,164,167,170,172,174,176,177,178,180,180,180,181,181,181,181,182,182,180,111,121,131,138,141,144,149,155,159,162,165,168,171,174,175,177,178,179,181,182,182,182,182,183,183,183,182,181,112,122,132,139,143,145,151,156,160,163,166,169,172,175,176,178,179,180,182,184,184,184,184,183,183,184,183,182,112,122,132,140,144,147,152,157,161,165,168,171,173,175,177,180,181,181,183,184,184,185,186,185,185,186,184,184,113,123,132,140,145,147,152,157,161,166,169,172,174,176,178,181,182,183,183,185,186,186,186,186,186,186,185,186,114,123,133,141,145,147,152,157,162,167,170,173,174,176,180,182,183,184,184,186,187,187,187,187,187,187,187,186,114,124,133,142,145,148,153,158,163,167,170,173,175,178,180,183,185,185,186,187,188,188,189,188,187,187,188,187,115,124,135,142,144,149,154,160,164,168,171,174,176,178,181,183,185,186,187,189,190,190,190,190,189,189,188,188,115,125,135,144,146,148,154,169,176,173,176,182,184,186,184,179,176,182,180,180,178,179,186,190,190,190,190,189,116,126,136,144,148,162,184,197,194,181,177,188,197,198,194,180,179,192,183,172,164,153,170,173,188,192,192,190,117,126,137,155,180,197,201,198,193,176,162,168,179,184,182,167,167,180,175,166,157,150,159,150,185,194,193,191,118,138,171,195,202,199,199,201,191,169,158,170,187,192,195,179,170,176,172,179,176,163,157,163,171,177,187,192,162,191,204,201,204,201,200,201,188,158,143,148,172,178,179,176,176,172,175,182,182,174,169,171,163,172,166,181,205,206,207,205,208,203,203,206,195,145,118,120,120,113,121,133,142,147,150,151,154,156,154,155,151,158,155,182,211,212,209,206,206,204,206,211,183,131,108,110,110,91,77,86,150,171,176,177,175,173,171,171,170,173,182,192,212,209,207,203,205,205,206,201,161,115,107,112,113,106,94,83,165,193,193,195,195,195,195,195,195,196,195,194,206,206,207,206,207,207,209,201,153,105,93,98,114,128,113,92,142,194,193,194,196,196,195,196,195,196,195,194,206,210,209,207,209,209,214,196,145,103,93,71,77,112,116,106,145,193,195,195,196,197,196,195,195,195,195,194,206,204,201,196,190,189,192,160,129,107,100,92,82,103,122,139,173,186,187,188,189,189,188,188,188,187,186,185,191,190,184,175,166,169,164,136,120,111,107,96,95,106,118,124,126,126,126,127,128,126,124,124,123,121,120,119,170,170,164,158,151,148,139,117,110,105,109,104,103,104,104,103,102,102,100,100,102,101,102,102,102,100,97,95,133,142,140,133,121,114,111,109,108,107,109,109,109,109,109,108,106,110,110,107,107,105,103,104,103,102,100,100,110,112,107,104,105,108,109,109,107,108,108,108,108,108,107,107,106,110,111,109,110,106,103,103,102,103,102,102,92,88,93,105,108,110,110,109,109,109,109,109,109,108,108,108,107,107,105,106,108,105,104,103,102,101,102,100,101,92,95,106,110,111,110,110,111,110,111,111,110,109,109,110,109,108,106,107,107,106,105,103,102,102,101,119,113,100,96,103,109,110,110,110,110,110,111,111,109,109,109,109,109,108,107,106,106,105,105,104,103,102,117,182,105,98,97,99,108,110,110,109,110,110,111,111,110,109,109,109,109,108,107,107,106,105,104,104,103,109,175,190,106,101,96,94,107,110,110,110,110,110,109,109,109,108,108,108,108,107,107,107,106,105,105,104,117,159,177,167
23,160,162,163,167,171,176,179,182,184,186,187,189,190,192,193,194,195,194,195,195,194,194,194,193,192,192,191,191,160,164,164,168,173,176,180,181,183,187,188,190,191,193,193,195,196,195,195,195,195,195,195,194,194,194,193,192,161,164,165,169,174,177,180,182,185,188,189,191,193,193,194,196,196,196,195,195,196,196,195,195,195,195,194,194,161,164,166,170,174,177,181,184,185,189,190,193,194,196,196,196,196,196,196,198,199,199,200,197,195,194,194,194,162,164,167,171,176,180,183,185,187,190,191,193,194,196,198,198,198,199,198,199,196,182,177,190,198,197,196,195,164,165,167,172,177,181,185,187,189,191,193,194,195,196,198,200,200,199,198,196,190,179,172,164,184,186,199,195,164,166,167,173,177,182,185,187,189,192,194,195,197,198,200,199,201,205,192,198,193,160,181,175,146,125,201,197,164,167,170,174,178,182,185,188,190,194,195,197,199,201,202,201,207,203,166,173,146,102,145,134,121,166,202,197,165,169,171,174,179,183,186,190,192,194,196,199,199,202,201,207,207,198,145,95,137,175,203,190,197,205,200,200,167,170,172,175,180,183,186,189,192,195,197,198,199,202,202,212,202,200,144,122,217,204,206,206,203,201,201,201,167,169,172,176,181,186,188,191,194,195,197,199,200,200,200,205,194,196,178,178,193,170,152,201,204,202,202,202,168,170,173,178,182,187,190,192,194,197,200,200,204,191,187,185,195,200,201,208,196,173,99,170,213,202,203,202,169,171,173,178,183,186,190,193,194,197,200,206,208,187,169,169,175,173,168,181,176,163,99,156,216,202,203,203,170,170,173,179,184,187,191,194,195,199,200,210,202,176,152,143,178,187,179,167,149,153,107,147,218,204,205,203,171,172,174,179,185,188,191,194,198,199,204,215,202,175,155,151,161,178,183,189,173,139,95,138,218,205,206,205,170,172,175,180,186,189,192,196,199,198,212,215,205,190,188,188,171,150,140,151,161,137,78,145,222,204,206,206,171,173,176,182,186,190,193,197,200,201,217,214,204,189,189,179,191,173,151,140,116,105,79,140,207,209,207,207,171,173,177,182,186,190,194,197,198,214,219,219,199,177,173,145,188,189,161,135,107,86,108,146,160,219,206,208,171,173,177,182,187,191,196,193,209,226,218,211,172,134,138,122,126,167,173,126,94,90,114,135,100,165,218,207,173,174,178,182,187,193,191,204,228,225,212,190,170,135,97,104,121,198,187,117,93,89,113,110,83,82,202,212,173,174,177,183,188,190,198,227,228,218,202,181,168,141,91,122,175,192,160,102,88,84,111,103,92,74,175,218,174,175,177,183,188,188,224,231,221,207,188,185,166,129,88,85,114,131,116,83,80,101,109,103,81,106,202,212,174,176,178,184,185,204,236,225,217,200,187,179,153,126,102,77,81,89,96,92,87,112,108,93,127,203,216,210,173,173,181,186,192,234,225,220,208,190,179,167,143,119,94,91,110,116,113,108,96,90,110,168,219,215,211,212,172,174,165,157,225,231,215,209,195,181,169,154,131,110,90,104,121,123,117,101,89,135,207,220,212,212,212,212,171,180,112,75,217,227,206,195,179,166,156,142,121,105,96,112,116,111,88,98,180,221,217,212,213,213,213,212,175,158,87,76,105,179,197,180,171,160,150,134,117,97,94,107,103,83,108,196,223,213,214,214,214,213,213,213,176,111,73,80,76,84,126,146,147,144,134,126,101,77,77,86,89,130,209,223,213,216,216,216,215,213,213,213
15,55,54,55,57,57,58,61,70,80,88,95,102,108,111,112,114,118,122,126,129,132,135,136,138,140,142,143,145,54,54,56,56,56,58,62,70,79,88,96,102,108,111,112,115,118,122,127,130,133,136,137,139,141,143,144,146,54,55,55,56,58,58,61,72,81,89,96,104,110,112,111,115,119,123,128,130,134,136,138,140,142,145,146,148,54,54,55,56,59,58,62,72,82,90,97,104,109,113,113,114,120,126,128,131,135,137,139,142,143,146,147,148,54,54,57,55,55,57,62,73,83,90,98,105,109,113,114,116,120,125,128,132,135,137,140,142,144,146,147,149,55,56,52,66,80,64,65,73,83,92,99,106,112,114,114,117,121,126,130,132,136,138,140,142,145,146,147,149,55,54,53,136,113,93,91,85,82,86,97,104,102,104,109,118,125,129,132,134,135,139,141,143,146,147,148,150,55,53,60,126,98,85,86,83,73,87,87,89,83,84,85,91,101,116,128,136,141,141,141,143,146,147,149,151,55,56,53,74,74,60,65,57,60,81,72,75,70,88,90,85,85,88,95,101,108,127,147,144,146,147,150,152,56,54,56,55,55,56,58,53,58,62,59,55,61,88,86,83,86,89,97,85,72,67,104,154,145,148,151,153,54,55,55,57,57,58,64,75,82,83,85,82,74,76,72,70,65,92,105,95,82,80,53,108,157,146,152,153,54,55,55,56,57,57,63,75,84,96,103,109,114,98,68,64,94,108,107,100,79,94,76,47,126,157,150,154,55,55,55,56,57,58,65,76,85,91,104,120,110,96,78,103,137,95,108,85,109,100,88,69,53,145,156,153,54,54,55,55,57,56,65,77,81,109,142,114,85,79,67,76,123,77,72,116,121,94,116,91,50,72,162,154,53,53,53,53,56,54,63,77,75,138,142,81,72,81,79,60,78,46,72,151,87,94,122,103,72,35,111,166,53,53,52,53,54,55,63,77,76,127,116,70,79,94,99,92,72,49,84,112,58,90,122,109,79,50,47,125,53,52,51,53,54,54,65,77,76,122,107,54,88,100,109,98,68,65,72,74,80,95,101,94,74,52,44,50,52,51,51,53,54,54,63,77,76,124,149,83,79,101,107,90,60,61,70,74,85,89,78,59,57,49,46,48,50,51,51,52,53,53,63,76,78,124,123,144,107,74,66,60,57,67,69,72,78,90,77,49,47,48,47,51,50,51,50,52,51,53,61,75,78,156,124,127,130,93,61,24,31,57,73,76,85,94,73,50,48,48,50,52,47,48,48,50,49,51,62,73,81,109,121,133,122,114,90,44,7,15,39,84,82,78,59,50,52,53,51,50,50,49,47,47,47,50,60,71,81,87,97,109,101,104,89,81,31,22,36,82,94,76,62,61,63,61,56,51,95,91,88,84,86,88,88,90,92,95,99,100,86,81,103,127,63,24,49,49,89,99,87,76,67,61,54,52,77,77,76,78,80,79,78,77,71,70,73,76,79,76,84,139,67,57,62,49,60,71,71,66,58,53,50,48,81,80,80,81,80,79,80,82,77,77,80,80,81,82,77,89,73,84,84,80,78,67,55,52,50,47,45,45,84,82,81,83,83,82,82,84,84,83,85,84,84,85,86,82,86,83,85,86,100,94,74,59,53,48,44,45,86,86,83,83,85,84,84,85,85,85,84,85,84,84,84,85,85,85,83,83,95,101,92,68,63,72,63,49,85,85,83,83,85,86,86,86,85,86,87,85,85,85,84,85,85,85,84,86,76,101,131,86,93,98,84,68
1,150,153,156,157,159,160,161,161,161,161,162,163,163,164,163,164,164,164,167,164,164,165,166,163,163,162,162,162,155,157,159,161,162,162,163,165,165,165,167,167,166,166,169,168,170,166,155,168,167,167,168,167,166,165,167,166,158,160,163,166,166,166,167,168,168,170,171,170,170,174,148,160,184,178,104,164,174,171,170,170,170,169,167,166,162,163,168,169,169,170,171,171,172,171,173,171,179,194,114,145,193,166,96,167,168,174,174,173,172,171,169,169,165,167,172,173,174,174,175,175,176,176,177,173,192,187,107,155,195,146,104,178,139,136,183,174,175,174,173,172,170,172,176,177,179,179,178,178,179,180,175,142,187,172,107,170,195,129,114,188,144,103,185,177,178,177,176,175,172,175,179,180,181,182,183,183,181,194,174,116,162,160,112,182,202,133,133,198,145,103,185,182,181,181,179,179,176,179,180,182,182,186,187,187,184,202,163,113,159,158,124,185,192,128,146,202,135,108,189,183,183,182,182,181,179,181,183,185,187,190,188,188,187,202,149,118,153,139,117,171,175,117,159,206,134,115,195,187,186,186,185,183,181,184,186,188,189,191,192,189,189,209,151,127,146,141,99,179,172,114,179,202,132,125,202,191,190,189,189,188,184,186,188,190,192,193,194,193,194,209,141,118,149,159,101,192,178,121,192,187,125,138,203,192,195,194,192,191,186,189,190,193,194,195,195,194,199,214,161,111,134,145,94,183,154,127,204,193,121,154,205,193,196,195,194,194,189,191,193,195,196,197,197,195,200,214,155,100,131,128,96,164,130,141,207,185,117,171,207,198,199,197,196,195,190,193,195,198,200,200,201,198,205,215,166,134,158,185,174,185,183,137,160,181,112,185,206,202,201,200,198,197,191,194,196,199,202,201,203,200,214,215,173,146,118,155,196,192,195,164,112,144,112,199,206,203,202,201,201,201,194,196,199,200,201,203,204,201,222,201,158,128,104,99,130,145,203,203,138,83,113,211,205,206,206,204,202,201,195,197,201,202,203,205,205,205,228,202,159,120,111,116,123,148,211,222,183,88,128,219,206,207,207,206,204,203,197,201,202,205,206,207,207,209,229,200,152,125,125,128,159,193,183,214,193,115,139,222,207,209,208,207,208,207,200,202,204,206,207,209,208,213,228,195,156,124,136,134,186,216,197,177,160,124,109,214,210,210,209,208,208,208,201,204,205,206,206,208,209,217,226,197,161,138,141,154,213,217,192,168,131,103,114,218,212,211,212,211,211,210,203,204,207,208,208,211,212,218,225,198,162,149,135,172,226,221,181,154,121,84,132,224,213,214,213,213,213,212,205,207,208,210,211,211,213,216,221,195,167,157,138,168,226,215,170,143,110,82,169,225,215,216,215,215,213,212,205,206,209,211,212,213,213,214,215,196,176,168,142,163,224,192,158,127,97,107,217,219,216,215,216,215,215,215,205,208,210,212,212,213,214,215,213,199,178,171,139,169,214,180,154,116,83,154,228,217,219,217,217,217,218,217,206,209,212,214,214,214,217,216,220,201,180,168,130,172,194,165,142,104,87,199,226,219,220,218,217,218,218,217,207,209,212,215,215,217,215,214,224,206,188,160,135,170,164,145,130,88,119,227,221,222,222,221,221,220,219,218,207,209,210,213,215,217,210,218,223,221,199,162,146,168,153,141,118,87,181,229,222,223,223,223,223,221,221,220,206,209,211,212,213,213,209,219,215,209,194,161,156,154,144,129,93,131,228,223,223,223,224,223,223,222,221,221
4,180,180,181,181,181,181,180,180,178,179,179,178,177,176,177,176,173,173,172,171,169,170,169,168,168,166,164,162,183,182,182,183,183,182,180,180,180,180,178,178,179,176,177,177,176,176,173,173,171,170,170,169,167,168,167,164,183,185,185,185,183,182,182,182,182,180,179,179,177,176,178,178,175,175,176,172,171,172,171,169,168,168,169,167,185,186,185,187,186,185,185,185,184,185,182,181,181,184,181,179,181,177,174,173,173,173,172,170,170,169,169,168,188,187,186,187,187,186,185,183,178,169,176,183,156,147,174,175,159,161,180,175,176,172,171,172,170,171,170,169,189,189,188,189,188,186,189,195,165,145,99,120,150,99,75,146,142,84,108,190,178,179,173,174,172,172,171,168,190,190,189,189,189,184,202,209,173,134,76,51,136,99,38,108,136,81,42,89,111,133,177,174,174,173,171,170,192,192,192,191,186,195,208,178,184,113,60,56,129,81,32,103,126,72,50,15,50,44,99,182,172,173,171,171,192,192,192,193,188,198,207,164,182,116,99,51,137,126,28,92,159,105,52,20,49,39,54,182,172,175,175,171,193,192,193,194,191,197,197,142,169,170,143,55,170,164,30,91,212,131,54,26,98,71,78,185,173,177,176,173,193,193,194,194,189,205,223,186,148,160,105,55,171,137,23,77,196,120,52,60,135,125,70,169,179,176,176,174,195,194,193,195,193,217,208,177,145,109,65,35,78,60,78,170,130,119,130,118,127,118,60,106,191,175,178,174,195,195,198,197,198,211,185,154,119,93,80,64,39,26,98,200,141,130,150,137,131,114,96,65,166,182,176,177,196,195,199,194,202,231,206,178,146,90,61,54,49,54,46,132,144,124,141,131,108,144,139,69,112,191,174,177,197,197,199,196,208,231,206,186,139,83,69,57,47,49,56,83,93,106,129,68,109,172,154,103,62,185,178,178,200,200,201,197,215,230,209,188,130,81,80,61,50,57,77,92,103,134,151,129,124,170,165,111,42,152,188,178,200,201,201,197,217,227,210,163,126,95,79,64,46,87,132,164,175,179,167,176,141,118,132,99,41,107,193,176,200,202,202,198,216,228,205,163,139,87,73,84,123,172,186,186,174,172,152,137,144,95,91,82,52,74,192,176,202,203,202,202,220,224,201,168,146,113,111,143,172,190,182,181,169,157,143,124,124,97,79,78,58,54,190,179,202,202,204,199,203,223,205,176,163,127,128,164,162,197,179,172,161,153,138,119,106,89,72,72,31,90,194,179,204,205,209,100,67,99,156,192,159,129,118,157,156,171,168,159,161,141,112,101,93,71,57,31,58,184,185,183,203,217,172,43,49,37,43,62,62,58,69,115,139,153,157,153,144,119,95,90,72,55,24,40,175,191,186,186,206,216,97,45,46,46,45,3,0,12,10,17,43,76,108,143,130,110,90,70,51,19,38,170,194,185,188,186,222,160,42,50,41,40,43,30,0,2,11,7,4,0,5,37,68,78,61,40,10,51,176,197,188,190,189,188,212,82,42,41,32,31,39,37,0,0,4,7,3,2,0,0,0,12,12,2,83,191,198,190,192,191,190,189,140,42,51,32,26,32,38,27,0,0,0,2,0,0,0,0,0,0,0,62,219,193,193,193,191,192,192,189,62,45,22,59,58,7,46,3,0,0,0,0,0,0,0,0,0,0,0,0,158,208,193,195,194,193,192,191,43,34,19,50,84,24,29,0,0,0,0,0,0,0,0,0,0,0,0,0,87,218,192,197,193,192,192,192
15,86,87,87,88,90,92,93,95,97,101,109,119,129,137,144,149,151,153,154,158,162,165,168,170,173,174,176,177,88,88,87,88,90,93,93,95,98,101,109,120,130,138,143,148,151,153,156,159,162,166,169,171,173,175,177,179,90,87,87,88,90,93,93,95,98,102,112,121,129,138,143,149,152,155,158,160,163,166,170,172,173,176,178,180,90,88,87,88,89,92,92,95,99,102,112,121,130,138,144,150,153,156,158,161,165,167,171,173,175,178,181,182,89,88,87,88,87,93,128,114,100,101,112,123,132,138,145,151,154,155,158,160,165,167,171,173,175,179,181,183,89,87,87,88,86,109,181,165,140,123,117,122,130,138,146,152,154,155,157,161,165,169,172,175,177,179,180,182,89,88,88,88,86,100,160,167,155,157,147,143,135,132,137,145,149,153,157,162,167,170,172,175,178,179,181,184,88,88,88,89,89,89,107,131,124,137,146,152,152,149,139,137,136,140,143,146,152,161,168,176,178,181,182,184,88,88,88,88,89,91,92,99,102,113,123,125,142,153,148,144,141,145,149,144,130,124,119,147,179,181,184,186,88,87,88,88,89,91,93,96,97,105,111,111,120,136,136,133,128,142,161,164,147,130,111,95,147,185,184,186,88,88,87,88,89,90,93,96,97,105,116,124,130,132,132,129,119,141,160,164,155,144,133,106,102,162,185,186,89,88,87,88,89,91,93,95,97,104,115,125,134,141,145,145,142,168,165,161,163,158,150,131,108,106,168,188,89,88,88,88,89,91,93,95,98,105,115,127,136,141,149,154,171,184,155,145,171,157,162,153,126,94,108,175,88,88,88,88,89,91,92,95,98,103,139,146,144,143,138,152,177,151,135,120,172,145,169,168,135,105,85,115,87,87,87,88,89,90,91,94,96,105,162,161,163,168,155,131,133,118,93,97,160,134,170,170,137,112,91,81,87,87,87,87,88,90,91,94,96,105,137,143,166,185,167,133,132,128,107,107,140,142,162,162,137,116,94,84,87,87,86,86,86,89,91,93,96,104,117,131,153,171,149,135,148,143,138,139,137,132,123,134,127,110,92,86,85,85,85,85,85,86,88,90,94,103,116,125,136,140,124,134,148,146,147,155,151,129,98,100,107,100,94,89,84,82,83,84,85,86,87,89,93,103,115,124,129,162,142,117,123,140,151,156,151,123,94,91,95,93,95,96,84,82,82,82,84,85,87,89,93,102,115,125,129,179,174,115,69,82,126,143,143,117,94,94,94,93,97,97,84,82,81,81,83,84,87,88,93,104,115,125,130,171,168,110,66,58,74,120,123,102,93,95,96,96,98,98,84,82,81,81,83,84,86,86,92,103,115,125,130,167,166,100,87,86,66,94,118,102,97,100,103,101,99,96,81,80,79,79,82,84,86,85,90,100,113,123,130,162,163,91,119,113,95,101,118,125,115,111,105,102,97,94,79,78,77,77,79,81,83,84,89,99,110,121,128,162,167,82,124,151,98,126,125,122,107,101,96,95,94,94,79,78,76,76,78,78,80,81,85,96,109,119,125,165,156,80,118,171,111,111,153,105,100,93,82,83,85,85,125,122,119,116,113,113,112,112,114,119,125,129,132,148,117,89,137,157,110,121,163,144,151,126,77,69,70,71,111,110,108,107,105,107,109,111,112,110,109,105,105,109,92,96,116,115,105,114,122,123,121,118,91,75,75,81,102,101,101,100,99,99,100,100,99,100,99,95,94,97,100,102,100,99,101,102,100,99,99,100,100,96,100,98
14,181,183,184,183,184,186,187,183,191,209,198,169,144,116,168,188,189,191,186,187,187,187,186,187,186,185,184,184,183,185,186,186,186,188,183,194,219,196,146,125,113,105,126,168,169,168,189,187,187,187,187,187,186,187,186,185,184,186,187,187,188,183,205,226,206,158,107,107,105,107,134,155,140,117,189,189,189,190,190,189,188,188,188,187,185,187,188,188,186,193,234,208,158,121,106,111,101,88,108,126,108,141,199,189,190,192,190,190,191,190,188,187,187,189,189,191,183,207,235,190,115,92,88,96,100,111,107,116,127,141,174,193,191,192,193,192,193,190,190,189,188,189,190,193,186,220,234,184,115,90,85,89,103,118,97,106,153,161,126,153,199,191,194,195,192,192,191,191,188,189,192,193,191,232,225,164,109,96,102,86,87,97,93,92,113,127,102,170,205,194,194,195,195,194,193,192,189,191,193,192,198,235,218,159,103,96,112,94,99,113,122,121,108,113,107,141,162,195,196,195,196,196,195,194,192,192,195,190,207,235,224,181,129,101,100,99,108,102,108,101,109,123,126,126,112,167,198,196,197,196,195,195,193,194,197,190,221,235,224,183,140,112,89,110,114,103,132,155,191,176,152,135,162,146,182,203,197,197,197,197,194,196,196,194,229,235,226,181,135,116,97,110,100,172,211,204,201,205,203,168,178,144,187,204,198,199,198,198,195,196,196,198,232,235,228,189,144,113,102,97,109,198,202,201,202,206,184,155,172,139,195,203,200,199,199,200,197,199,197,203,235,235,231,195,154,117,100,93,171,209,202,203,203,207,176,156,171,134,193,204,202,201,200,200,198,200,198,204,235,235,232,199,158,124,92,110,208,203,204,204,202,211,170,148,170,129,169,210,202,202,202,201,199,201,202,206,235,235,232,202,164,133,90,141,215,202,206,205,207,204,156,148,161,137,146,212,203,204,205,204,200,202,202,207,235,235,232,204,166,134,93,146,213,210,212,213,210,154,149,168,161,129,163,212,204,205,205,204,202,202,200,209,235,235,233,205,166,137,117,88,119,148,150,174,163,132,155,159,148,143,207,208,206,205,204,204,202,202,201,209,235,234,233,202,168,148,131,97,97,104,113,123,129,139,153,154,131,187,213,206,206,206,205,205,203,204,202,214,235,235,232,198,177,162,140,106,107,120,128,138,141,137,146,135,163,215,208,210,207,208,206,206,205,206,202,219,235,235,231,204,187,170,144,117,112,129,133,137,141,139,127,134,212,211,210,211,208,207,208,207,205,207,204,221,235,235,231,214,195,171,143,125,114,129,135,135,139,138,116,184,217,211,211,210,210,209,209,209,206,207,205,225,235,235,231,220,200,170,142,126,117,124,135,131,137,122,170,219,211,211,212,212,211,211,211,211,205,207,203,227,234,233,230,220,196,159,126,118,114,122,131,133,124,141,219,212,214,212,212,212,211,211,211,211,211,214,216,235,235,235,233,215,181,130,108,110,109,119,125,130,120,197,218,212,214,213,213,213,213,212,212,211,186,173,164,173,156,151,136,120,106,87,80,89,105,117,119,115,175,222,213,216,215,215,216,215,213,213,212,213,115,106,96,89,83,78,71,67,68,64,55,55,66,90,108,169,223,213,215,216,215,215,216,216,215,215,213,214,110,106,97,93,90,85,75,72,71,63,55,54,53,48,75,221,217,217,218,217,218,216,217,217,215,215,215,215,110,104,96,91,85,81,73,70,67,61,54,51,54,48,79,223,218,219,218,218,218,217,217,217,216,216,216,216
13,154,157,162,169,174,177,181,183,185,188,192,194,196,198,199,201,203,203,203,204,204,205,205,204,205,204,203,203,155,159,164,170,176,180,183,185,187,189,193,196,198,201,202,200,201,204,209,206,206,206,206,206,207,206,206,206,157,160,166,173,177,181,184,187,189,191,195,198,200,200,206,216,217,180,167,208,206,212,208,209,210,208,207,207,159,162,168,175,179,183,186,190,192,194,198,200,203,205,209,239,228,174,120,126,157,172,211,210,210,209,209,208,160,164,169,175,180,184,187,190,194,198,197,202,206,171,169,186,224,172,117,97,161,122,145,220,209,211,210,210,162,165,171,175,182,184,187,192,194,197,197,234,223,183,145,143,208,207,138,109,170,120,120,220,211,212,211,210,163,167,172,178,183,187,190,192,197,200,155,195,243,218,176,104,150,229,148,106,177,123,136,224,212,214,212,212,163,167,173,179,185,189,192,190,226,215,162,111,204,240,194,126,82,173,145,105,207,133,161,225,213,215,215,214,164,169,175,181,186,191,189,219,229,229,199,128,122,241,187,134,64,82,95,99,195,129,200,221,215,216,216,216,165,170,178,183,187,189,206,220,182,226,212,150,84,205,178,122,68,64,100,137,155,112,163,228,215,218,218,217,166,172,181,185,188,191,232,219,171,199,189,138,79,171,178,132,65,90,158,169,147,133,117,212,222,219,219,218,169,175,183,189,189,204,229,199,161,184,165,120,64,147,203,146,81,177,200,174,132,118,116,160,230,218,219,219,170,177,186,192,190,221,224,196,154,158,155,120,55,109,204,125,139,221,194,168,135,118,108,140,234,220,221,221,171,179,189,194,191,227,237,210,176,132,144,110,63,103,198,174,211,208,183,154,130,112,89,179,231,220,225,224,174,183,192,198,194,234,240,213,185,138,119,117,147,198,227,231,221,196,169,142,126,99,106,224,224,224,225,225,179,187,194,201,200,241,248,221,184,166,166,170,189,216,226,221,212,185,158,138,117,83,153,238,222,226,226,225,181,190,197,203,205,243,244,233,193,187,184,166,205,208,226,217,199,174,153,130,109,78,191,235,225,227,227,226,184,193,200,206,209,235,241,240,209,199,188,175,216,216,215,206,182,160,138,123,91,106,234,229,229,229,228,227,187,195,205,209,211,224,242,239,220,204,188,182,206,222,203,186,165,148,134,111,84,201,239,230,231,230,231,231,190,198,207,211,213,216,237,231,226,209,196,187,194,213,199,174,154,136,128,90,179,246,231,233,233,233,231,230,192,201,208,212,218,214,229,233,227,221,213,195,188,206,192,162,138,131,103,145,247,234,236,236,235,232,238,241,194,203,212,215,221,213,222,238,226,224,215,191,182,192,180,148,124,119,111,229,240,237,238,238,236,242,219,164,197,207,214,218,222,218,222,227,198,202,203,187,177,182,165,144,125,98,180,250,238,240,238,240,245,172,87,66,198,208,215,219,223,220,224,230,196,210,213,204,178,175,158,148,119,104,225,242,242,242,249,249,157,78,66,56,200,208,214,218,223,220,219,243,209,221,221,206,177,166,158,149,115,115,239,242,243,248,210,131,74,79,81,47,200,209,216,220,223,225,220,244,227,238,229,208,183,166,157,150,110,124,247,238,254,188,86,64,55,76,86,59,202,211,218,221,224,229,203,241,235,236,224,201,184,169,158,148,108,115,243,249,227,105,81,82,50,53,80,72,203,213,219,223,226,230,131,228,234,229,216,197,187,171,162,137,110,83,239,253,138,87,79,77,59,39,67,77
0,151,152,155,156,157,158,159,162,161,160,160,161,161,159,160,159,158,158,158,158,156,154,154,152,151,152,150,149,151,154,156,158,159,160,160,162,162,161,162,163,163,162,162,160,159,160,158,157,156,155,154,154,155,153,152,151,152,154,157,158,159,160,161,163,163,163,163,163,162,162,163,164,164,159,159,163,159,156,155,152,145,152,153,153,153,154,157,158,161,162,163,164,164,164,165,166,167,164,162,149,153,168,155,137,156,159,160,157,105,140,157,152,154,156,159,160,162,163,164,165,167,166,165,155,141,159,150,109,85,123,131,92,86,154,167,152,88,141,158,153,154,157,159,161,162,164,165,161,153,168,167,133,91,84,125,112,88,57,95,108,65,113,169,137,83,148,158,155,156,159,161,163,164,163,165,155,107,102,155,130,101,64,107,122,106,72,90,114,77,104,158,135,74,136,163,155,158,160,162,164,163,165,168,152,128,80,121,144,107,84,105,134,106,77,86,115,77,83,152,125,63,105,168,155,158,160,163,164,163,176,167,161,142,106,91,152,111,84,85,134,103,73,81,111,78,51,120,120,64,73,165,156,160,161,163,163,169,168,151,175,142,114,75,135,112,80,73,131,103,64,63,90,68,50,101,125,66,72,165,157,160,162,164,162,182,180,134,160,138,123,69,106,117,83,63,123,93,54,46,64,54,66,126,118,60,97,169,157,159,163,164,168,178,167,138,139,118,95,54,88,112,74,51,84,65,50,56,67,53,81,126,111,58,123,168,158,160,164,164,170,173,152,123,131,101,62,50,86,79,59,55,70,66,47,64,65,58,107,124,110,61,147,164,160,161,164,166,166,185,181,156,125,87,80,61,83,83,46,47,89,64,52,83,75,82,120,127,95,67,163,162,161,161,164,166,168,184,184,169,144,99,86,64,98,101,53,75,99,102,122,123,116,105,115,104,73,77,171,161,162,162,165,167,169,184,186,173,156,126,100,94,87,92,129,153,149,150,142,126,121,103,85,79,53,91,175,161,163,162,165,167,168,182,186,173,150,132,107,99,110,131,161,153,156,143,134,124,114,97,68,67,45,132,171,163,164,161,163,166,167,177,181,170,153,141,117,103,121,141,156,150,148,137,127,118,104,88,70,45,101,172,163,164,163,161,163,166,168,173,178,168,156,144,124,111,134,137,147,149,140,128,116,106,95,81,50,78,172,166,165,164,163,162,165,167,169,170,175,167,157,144,127,112,122,131,135,146,132,120,109,98,87,61,60,161,170,166,166,165,163,163,165,167,169,169,171,167,156,144,126,109,102,118,124,130,123,113,103,89,66,53,150,173,165,167,166,163,164,163,164,166,168,170,170,170,156,147,126,98,91,105,112,108,105,102,90,63,52,138,175,165,167,167,166,171,159,164,166,168,176,176,167,151,150,139,109,84,91,98,100,91,83,81,61,86,150,176,168,171,171,169,172,119,63,154,157,160,130,151,178,151,142,127,112,104,101,92,92,80,69,49,113,169,167,162,167,159,150,160,108,39,32,95,98,94,21,102,186,160,150,135,128,115,98,81,82,71,54,47,91,91,93,93,76,54,44,51,35,30,28,92,95,69,47,58,128,153,149,140,124,105,86,73,70,61,42,61,85,76,56,38,25,22,27,27,28,24,22,98,94,58,57,50,50,84,119,124,113,91,75,66,60,47,26,44,66,39,27,25,24,20,19,25,29,25,23,98,83,56,56,52,49,39,56,81,81,67,57,50,43,28,11,1,14,28,20,20,22,19,16,17,24,25,25
19,168,169,171,173,174,175,176,177,177,177,177,178,178,178,177,177,177,177,177,176,175,176,175,173,173,173,171,170,169,170,172,174,175,176,177,178,179,180,180,179,180,179,179,178,178,178,178,177,177,177,176,175,174,175,173,173,171,172,174,176,177,177,179,181,181,181,181,181,181,182,181,181,180,179,180,180,178,177,177,177,176,176,174,174,171,174,175,177,178,179,181,181,182,182,182,182,182,182,182,182,182,181,181,180,179,178,178,178,177,177,176,175,172,175,176,177,178,181,181,182,183,184,183,184,184,184,184,182,183,182,182,181,181,181,179,180,178,177,177,176,174,176,177,179,179,181,183,184,185,186,186,186,186,185,184,184,184,184,183,182,182,181,181,181,179,179,178,177,175,177,180,180,181,183,183,185,186,186,186,186,186,185,186,181,188,185,183,184,183,182,182,181,181,180,180,179,176,177,180,182,182,184,185,186,188,188,187,188,193,187,198,170,143,188,184,183,184,184,184,182,182,180,180,180,177,179,181,183,184,186,187,188,188,189,191,169,154,173,202,188,106,156,194,190,188,187,187,185,183,184,183,181,178,180,182,184,186,187,187,188,189,188,179,152,120,122,137,146,131,121,140,149,170,173,178,180,183,178,174,179,178,181,183,186,187,187,189,191,188,179,176,181,176,135,91,112,134,126,124,112,120,134,141,130,148,133,138,176,181,182,184,186,187,188,187,184,171,176,188,190,162,114,89,84,103,113,120,112,115,129,134,131,134,136,133,165,181,182,185,187,188,187,185,178,174,176,180,180,165,129,89,83,82,86,89,85,89,96,103,104,103,107,112,126,181,182,185,187,187,185,185,182,179,171,179,185,186,156,102,81,86,76,94,124,140,142,141,140,148,150,160,174,182,184,186,188,187,185,184,184,181,179,185,188,184,158,106,81,86,75,141,207,196,196,195,196,196,194,193,190,183,184,184,187,185,187,185,185,187,183,182,181,175,163,118,81,83,84,89,188,195,191,189,189,190,189,187,189,181,183,191,191,190,187,188,189,189,182,177,185,183,173,132,85,81,88,70,132,204,191,192,192,191,190,190,190,183,202,205,194,189,189,191,188,182,180,184,189,185,160,125,92,79,90,72,111,204,192,193,193,193,191,191,190,202,208,199,190,186,187,185,182,179,178,173,173,165,141,119,100,86,87,76,160,203,194,194,193,194,193,192,191,208,204,192,187,186,184,181,180,174,172,165,161,156,141,118,103,96,88,67,164,205,195,195,194,193,193,193,191,204,201,193,183,178,180,176,177,176,170,164,158,152,158,123,100,101,89,83,187,201,196,196,196,194,193,193,192,202,199,190,179,169,170,169,169,174,166,159,143,140,153,110,95,105,88,105,208,195,197,197,196,195,194,194,193,199,194,182,168,158,156,159,158,163,154,138,120,120,112,77,94,108,81,140,206,196,197,197,197,196,196,194,193,190,183,167,156,148,134,138,143,147,131,113,111,107,82,90,101,96,148,203,200,198,197,198,197,197,196,195,194,189,165,161,154,134,119,110,118,122,112,102,96,84,80,96,122,168,206,199,199,198,198,198,198,197,197,196,194,162,153,163,150,125,102,97,97,98,89,116,164,155,158,179,198,205,199,199,199,198,198,198,197,196,195,195,193,118,154,159,139,114,85,69,69,110,155,194,208,207,206,204,200,199,200,200,199,199,199,198,196,195,195,194,193,75,110,108,83,66,52,42,40,180,212,199,200,200,200,200,200,200,200,201,200,200,199,198,197,197,195,194,194
6,182,184,184,185,186,186,184,185,184,184,184,182,181,180,179,178,178,175,174,172,172,172,171,169,167,166,108,128,184,185,186,186,187,186,185,186,186,185,185,184,183,183,182,180,179,177,176,175,174,174,173,172,169,166,160,111,187,187,189,189,189,189,187,187,188,187,186,185,184,185,184,183,180,178,179,178,178,176,174,173,172,168,167,149,187,190,191,191,191,191,191,190,191,190,189,186,185,186,185,183,183,181,181,181,181,177,174,174,172,170,167,158,189,191,192,193,193,193,192,192,191,191,189,189,187,187,187,186,185,184,182,182,181,178,176,176,174,172,168,164,191,192,193,194,195,194,194,194,193,193,193,191,190,188,188,189,187,185,183,183,183,181,178,176,176,174,173,168,192,193,193,196,197,197,197,197,195,194,193,194,193,192,192,189,187,182,182,181,181,178,174,174,167,170,170,171,193,194,195,197,199,200,198,198,201,199,194,191,187,180,177,174,172,147,148,164,166,149,160,156,165,212,151,162,194,196,199,200,199,199,198,196,188,175,177,179,172,174,177,178,166,161,148,172,177,158,162,164,154,189,129,156,196,199,201,201,200,199,199,206,179,155,164,179,181,187,190,189,170,145,147,140,141,127,115,117,106,111,141,176,197,198,200,202,202,198,211,219,187,169,158,157,161,156,150,142,131,120,91,85,76,83,130,137,156,173,180,175,198,199,201,201,203,200,221,222,201,186,167,150,144,134,126,115,99,77,47,31,28,151,201,189,188,184,178,176,198,200,202,204,203,208,229,225,215,181,141,134,139,148,146,138,127,118,115,71,114,201,185,185,184,182,180,178,200,202,203,206,201,219,235,230,212,148,114,124,129,142,148,147,136,123,124,88,129,203,187,188,186,184,182,180,202,204,206,206,200,231,231,227,181,121,131,127,117,120,140,130,118,118,110,60,137,202,189,190,186,184,183,182,201,204,206,203,208,235,227,226,192,168,151,132,106,106,144,135,127,131,111,75,186,196,192,190,189,186,185,183,203,206,208,201,224,230,228,230,228,212,166,129,136,147,147,138,123,110,107,87,154,203,191,192,189,186,185,182,205,207,203,208,231,230,232,226,225,220,159,117,124,130,130,127,110,99,99,63,146,204,192,194,191,188,184,182,205,207,198,217,229,233,228,220,218,197,150,122,115,105,110,118,114,107,84,81,187,198,193,193,191,187,187,190,206,196,199,224,228,231,221,212,205,199,179,158,121,77,87,114,109,108,74,119,206,192,194,192,187,187,185,159,205,182,214,226,229,223,218,218,211,203,209,195,138,98,115,139,126,102,91,76,184,199,191,190,192,200,115,26,192,191,223,226,226,222,224,220,205,210,215,180,119,95,106,108,97,83,71,67,182,199,198,202,170,97,24,11,186,211,219,223,220,215,208,204,200,210,196,151,107,100,99,86,75,69,63,145,211,200,168,101,42,13,13,8,203,213,219,215,206,198,190,192,191,175,152,120,102,89,65,107,127,149,179,187,139,83,29,10,11,10,11,11,212,211,215,207,191,186,183,179,177,153,124,110,110,100,115,179,154,127,92,48,15,0,0,8,8,2,5,2,209,211,201,188,176,164,176,174,161,148,134,118,93,60,62,34,12,2,0,11,0,0,0,0,1,0,1,0,208,206,197,185,169,156,158,152,136,127,107,77,41,15,0,1,0,2,7,8,0,0,0,0,0,0,0,0,211,200,192,173,148,141,134,116,97,84,59,30,4,14,2,0,0,0,1,3,0,0,0,0,0,0,0,0
1,180,183,186,188,190,191,192,192,192,192,194,195,195,196,195,195,195,196,199,196,196,196,197,195,194,194,194,194,185,187,190,193,194,194,194,197,196,197,199,199,198,198,201,200,202,198,186,200,199,199,200,199,198,197,199,197,189,191,195,198,197,198,199,200,200,203,204,203,202,207,177,191,218,211,127,196,207,203,202,202,202,201,199,198,193,195,200,201,201,202,204,204,204,204,206,203,213,230,139,174,229,197,118,199,200,207,207,206,204,203,201,201,197,199,205,206,207,207,208,208,209,210,210,206,228,222,130,186,230,175,128,211,167,164,217,207,208,207,206,205,202,204,209,210,212,212,212,212,213,214,208,171,222,205,131,202,231,156,138,223,173,127,220,211,211,210,209,208,205,208,212,213,215,215,217,217,215,230,207,142,194,191,137,216,239,161,160,234,174,126,219,215,215,215,213,212,209,212,214,215,216,221,222,221,218,239,195,138,190,188,150,219,227,155,175,239,163,132,224,218,217,216,216,215,212,215,217,219,221,225,223,223,221,239,178,143,183,167,142,203,208,143,190,244,161,140,231,222,221,221,219,217,215,218,220,223,224,226,227,224,224,246,181,154,175,169,122,212,205,139,212,239,160,151,239,226,225,224,224,223,218,221,222,226,227,229,230,229,230,246,169,144,178,190,125,228,211,147,227,222,151,166,240,228,230,229,227,226,221,224,225,228,230,231,231,229,235,252,192,136,162,174,116,217,184,153,240,229,147,184,242,229,232,231,230,229,224,227,229,231,232,233,233,231,237,252,185,123,158,155,119,196,157,169,244,219,143,203,244,235,235,233,232,231,225,228,231,234,236,236,237,234,242,253,198,162,189,220,207,220,218,165,191,215,137,219,243,238,238,236,235,233,226,230,232,235,238,238,240,236,252,254,205,175,143,186,232,228,230,195,137,172,137,235,243,240,239,238,238,237,230,232,236,237,238,240,241,238,255,237,189,155,127,122,157,174,240,240,167,103,138,249,242,243,243,241,239,238,230,233,237,239,240,242,242,242,255,239,190,146,135,141,149,177,248,255,218,110,154,255,243,244,244,243,241,240,233,238,239,242,243,245,244,247,255,237,182,152,152,155,190,229,218,252,229,140,167,255,244,247,246,245,245,244,236,239,241,243,244,246,246,251,255,231,186,150,163,161,221,254,233,210,191,151,133,252,248,248,247,245,246,246,238,241,243,243,244,246,247,255,255,233,192,166,170,184,251,255,227,200,158,126,139,255,250,249,250,249,248,248,240,241,244,246,246,249,250,255,255,234,193,178,163,205,255,255,215,184,146,105,159,255,251,253,251,251,251,250,242,244,245,247,248,249,251,254,255,231,199,188,166,200,255,254,203,172,135,103,201,255,253,254,253,253,252,251,242,244,246,249,250,252,251,252,253,232,209,200,170,194,255,228,189,154,120,131,255,255,255,254,254,253,253,253,242,245,248,250,250,251,253,254,251,236,211,204,167,202,252,213,184,141,104,184,255,255,255,255,255,255,255,255,243,247,250,252,252,252,255,255,255,238,214,200,157,205,229,196,171,128,109,235,255,255,255,255,255,255,255,255,244,246,251,253,254,255,254,252,255,243,223,190,162,202,196,174,157,110,145,255,255,255,255,255,255,255,255,255,244,247,248,252,253,255,248,255,255,255,235,193,176,200,183,169,144,108,215,255,255,255,255,255,255,255,255,255,243,247,248,250,251,251,246,255,253,246,230,193,186,185,173,155,115,158,255,255,255,255,255,255,255,255,255,255
17,128,130,132,135,137,138,139,140,142,143,144,145,147,149,149,150,151,150,151,151,152,152,151,150,150,150,150,149,130,132,134,137,139,140,142,143,144,144,145,147,149,146,147,151,151,151,152,153,153,153,152,151,151,151,150,150,133,136,138,140,142,143,145,146,146,147,148,150,153,133,133,151,153,153,153,154,154,154,154,153,153,152,152,151,137,139,141,144,146,147,148,149,150,150,151,156,152,114,115,151,156,156,156,156,156,156,156,155,154,154,154,153,142,144,146,148,150,150,151,152,153,154,155,162,159,113,110,152,158,159,159,159,159,159,159,158,157,157,157,156,146,148,150,152,154,155,155,156,157,158,159,169,173,128,106,147,160,161,162,161,162,162,162,161,160,159,159,159,150,152,155,156,158,159,160,160,162,162,163,176,179,139,101,133,163,165,165,165,165,165,165,165,164,162,161,161,154,156,158,160,162,163,164,165,166,167,168,181,178,151,109,121,163,168,168,168,168,169,169,168,167,165,164,164,158,160,162,165,166,167,168,169,170,170,172,185,171,162,121,111,159,172,172,172,172,172,172,171,170,169,168,168,161,164,166,169,170,171,172,173,173,173,177,186,166,171,134,108,154,175,176,177,176,176,175,174,173,172,171,171,164,167,169,172,174,174,175,176,176,175,173,180,165,180,152,114,148,178,179,180,180,179,179,178,176,175,174,173,167,170,172,175,176,177,178,179,182,181,162,143,140,172,161,119,141,179,182,182,183,182,181,180,179,178,177,177,171,173,175,177,178,179,180,182,189,189,165,131,113,143,151,118,132,179,184,185,186,186,184,183,182,181,180,179,173,175,177,179,181,182,183,185,185,169,160,153,137,128,122,106,122,178,187,187,188,188,187,186,185,184,182,182,175,177,180,182,184,184,185,188,187,159,151,165,168,142,100,86,110,175,189,190,190,190,190,189,188,186,185,185,177,180,183,185,186,186,187,190,195,183,151,148,161,137,90,73,95,165,192,193,193,193,192,191,190,189,188,187,179,182,185,187,188,189,190,178,161,181,153,116,141,139,96,71,82,152,193,195,195,195,194,194,193,192,191,189,181,184,187,189,190,192,194,168,129,141,144,96,119,153,111,74,74,143,194,197,197,197,196,196,195,194,193,192,184,187,189,191,192,195,196,169,126,110,132,108,121,169,129,84,73,140,196,199,199,199,198,197,196,195,195,194,186,188,191,193,194,196,188,149,111,95,120,126,144,181,145,100,78,143,198,200,200,200,200,199,198,197,196,196,187,189,192,195,196,198,186,151,120,108,119,150,174,179,147,109,86,152,200,202,202,201,201,200,200,200,198,197,189,191,194,196,198,204,191,155,134,125,142,189,188,163,134,104,92,165,203,203,204,203,202,201,201,201,200,199,191,193,195,198,202,210,191,164,143,128,161,196,173,149,123,94,98,178,205,206,205,205,204,203,202,202,201,200,192,194,196,199,204,214,199,173,141,135,173,188,160,143,118,86,103,186,207,208,207,207,206,206,204,204,202,201,193,196,198,200,204,212,203,168,147,143,188,189,156,137,109,81,112,193,209,209,209,208,208,207,206,206,204,203,194,196,199,201,202,203,196,170,153,153,198,185,149,124,97,78,124,199,210,210,210,209,209,208,207,206,205,204,195,197,199,201,200,196,188,173,152,156,194,173,134,106,85,79,144,205,211,212,211,210,210,209,208,207,207,207,195,198,200,202,202,192,179,172,152,156,185,161,122,94,77,87,167,210,212,213,212,211,211,210,209,209,208,208
10,96,103,115,121,125,130,133,136,139,141,142,145,146,147,148,150,155,155,156,156,157,160,161,162,162,162,164,165,96,105,116,122,126,131,133,136,140,142,143,146,147,148,149,152,137,153,157,158,160,161,161,162,163,164,165,166,98,107,118,123,126,132,134,136,141,143,144,146,149,150,154,166,113,136,162,158,161,163,164,164,166,166,167,166,101,110,120,125,128,132,135,138,141,144,145,147,150,150,160,172,119,119,164,158,162,163,164,166,166,168,168,168,102,110,120,125,129,132,137,140,142,145,146,149,151,151,160,171,129,109,163,160,164,166,166,166,168,169,170,170,101,112,123,127,129,134,138,140,142,145,147,148,153,155,155,171,142,108,158,163,164,167,167,167,169,170,170,171,103,113,124,126,130,136,139,140,143,146,146,158,136,140,159,177,157,109,147,168,164,166,166,168,170,171,171,172,105,115,124,128,133,137,140,142,144,146,147,165,135,95,156,174,162,115,129,171,164,167,167,169,171,171,172,173,107,118,124,128,133,137,140,145,150,148,158,154,131,80,137,172,157,117,118,172,166,168,168,171,172,172,173,173,107,119,126,129,132,143,140,131,127,127,147,168,143,101,112,176,144,116,109,172,167,169,169,172,173,173,174,175,107,118,126,130,130,150,127,93,81,80,82,148,161,117,85,160,125,114,101,169,168,170,172,173,174,175,175,175,110,121,126,131,134,135,116,90,72,87,86,110,164,132,84,138,105,111,95,163,171,172,173,174,175,176,176,176,110,120,125,129,134,139,138,133,123,101,85,94,162,145,94,108,89,105,89,154,175,171,173,174,176,177,177,177,110,121,126,131,136,141,140,165,177,118,66,113,172,151,104,75,85,102,92,142,177,173,175,174,175,176,177,177,113,122,126,132,138,140,138,167,171,123,61,106,187,150,115,73,82,102,92,125,181,173,175,175,176,177,177,177,113,123,127,133,134,151,162,163,179,132,51,112,199,148,121,80,81,98,91,109,181,174,176,176,178,179,179,179,115,124,127,133,131,162,179,158,171,130,56,152,185,149,114,81,72,92,87,95,180,175,176,177,177,179,180,180,116,125,128,134,134,148,178,154,161,126,125,193,162,152,115,82,75,88,78,109,183,173,176,177,179,179,179,180,115,124,128,132,137,140,153,135,145,147,182,189,160,146,121,87,78,84,72,147,181,175,177,178,179,179,179,180,116,124,127,133,137,139,153,131,147,183,197,184,161,138,118,92,80,75,84,172,175,176,178,179,180,180,181,181,118,125,128,132,138,139,164,166,141,174,197,176,156,135,116,93,80,67,111,183,173,176,178,179,180,180,180,181,119,125,128,132,139,136,174,183,141,152,196,175,157,132,117,95,80,65,142,181,174,176,177,180,180,180,180,181,119,125,130,135,140,138,179,186,159,173,190,173,158,133,117,99,77,78,170,174,175,177,179,181,180,180,181,182,118,124,129,134,139,139,187,196,167,177,187,173,159,135,119,101,69,109,182,173,176,178,180,181,181,181,181,182,119,124,129,135,140,138,185,192,174,177,180,178,169,138,117,99,68,143,180,174,176,177,178,180,181,182,182,183,120,123,129,135,139,138,179,184,166,178,175,179,175,142,116,93,78,169,175,175,177,177,179,180,181,182,182,183,120,123,129,135,139,140,169,172,168,178,177,180,172,139,115,82,108,181,173,176,177,179,181,181,182,181,182,183,120,125,130,136,139,142,159,169,178,185,174,175,168,136,111,77,144,179,173,175,178,179,181,181,182,182,182,184
7,149,159,165,165,171,178,184,188,190,192,195,197,199,202,204,205,206,207,208,208,207,207,208,207,205,206,204,203,150,159,165,166,172,178,184,189,191,194,196,198,202,204,205,206,207,210,210,210,210,210,212,209,208,207,206,205,152,161,166,168,173,180,184,188,193,196,198,200,203,205,207,208,210,211,211,212,211,211,211,211,210,210,208,206,153,161,165,168,173,181,185,189,194,196,198,202,204,207,208,210,211,212,213,213,212,213,213,212,212,211,210,208,155,162,166,169,175,181,186,190,194,198,201,204,206,208,210,211,211,213,213,213,214,214,214,214,214,213,211,210,156,164,169,171,177,182,187,192,195,198,202,205,208,211,211,213,213,215,215,215,215,215,214,215,215,214,213,211,158,166,171,173,178,184,190,193,196,200,206,207,209,212,214,217,216,218,218,218,217,216,216,216,216,215,214,212,158,166,171,174,180,183,186,195,196,200,203,204,205,211,213,214,216,218,218,219,221,218,217,217,218,216,216,214,157,167,173,173,175,190,216,218,204,208,219,219,218,215,205,199,210,205,207,207,212,220,222,220,219,218,218,217,160,168,167,176,209,234,239,227,202,193,210,223,228,223,202,203,225,208,195,185,169,198,207,219,220,220,218,220,156,167,199,232,239,234,238,225,192,184,195,207,213,211,186,186,206,194,185,178,167,183,167,221,227,222,220,220,186,227,241,237,233,236,235,210,186,185,201,226,231,236,215,210,204,195,210,200,183,176,182,195,207,223,222,221,243,242,237,245,237,237,241,224,162,148,156,182,188,192,197,204,201,203,211,214,203,198,202,181,197,193,219,222,245,245,244,245,239,245,253,216,146,124,134,120,102,126,149,162,166,168,168,174,176,177,179,171,186,174,221,225,250,246,244,245,244,246,241,178,132,127,129,131,105,80,100,209,213,216,213,209,203,196,196,192,192,212,225,223,244,243,240,242,241,244,229,169,117,120,141,142,137,113,110,226,227,227,228,231,231,231,231,230,229,226,224,223,250,248,246,249,251,255,236,157,115,100,92,136,160,131,104,196,231,225,227,226,226,225,224,224,223,224,224,223,247,246,242,234,237,238,192,148,119,118,86,97,134,134,129,208,230,225,227,228,229,228,228,228,225,226,226,225,232,230,217,207,215,199,164,145,135,122,115,105,142,173,201,225,226,227,228,229,229,230,230,229,227,227,226,226,214,204,198,195,198,172,139,133,128,131,113,111,207,229,225,224,225,228,228,229,229,231,229,228,229,229,227,226,184,185,174,158,146,145,164,175,150,148,150,175,221,219,222,225,228,228,229,230,228,229,230,229,229,228,228,226,150,146,136,137,157,184,200,207,210,209,215,219,219,221,223,226,227,229,228,229,229,229,230,228,226,226,226,226,122,115,116,140,152,147,145,146,146,146,146,146,147,149,151,149,150,152,153,150,148,147,146,144,143,143,142,140,96,115,123,118,123,120,118,116,116,116,116,116,118,119,116,113,113,114,116,117,118,117,116,115,111,110,111,110,115,122,127,128,128,130,128,128,129,130,130,129,129,128,126,131,132,127,126,125,125,125,125,122,119,121,121,111,118,121,128,128,128,129,127,125,127,127,127,126,125,125,124,131,133,130,131,125,123,122,121,121,122,118,111,154,119,117,128,129,129,129,128,127,128,128,127,127,128,127,126,126,123,124,127,123,123,122,121,123,117,128,194,223,117,110,124,131,130,131,131,129,130,131,130,130,130,130,130,127,125,125,125,124,125,122,120,119,122,218,211,187
10,74,77,81,85,93,108,119,127,131,135,140,146,150,154,163,153,155,164,164,164,165,165,165,163,164,163,161,159,75,77,81,85,95,110,121,129,132,137,142,148,152,158,184,142,131,165,165,165,166,167,165,164,164,163,162,160,76,78,82,86,97,112,122,130,133,138,144,150,154,164,186,146,116,163,168,167,168,168,167,166,165,165,163,162,77,80,83,87,99,113,124,132,135,140,147,152,157,165,188,161,112,157,171,170,170,170,169,167,167,167,166,164,77,81,84,88,100,115,127,134,137,142,149,154,160,164,191,178,121,151,174,172,172,171,171,171,170,168,167,166,78,81,86,89,102,117,128,135,138,144,151,157,161,165,199,187,129,142,176,174,174,174,173,173,172,171,169,167,79,82,87,90,104,119,130,137,140,146,153,159,164,167,199,187,137,133,177,176,176,176,176,175,174,173,171,170,80,83,87,90,105,120,132,138,142,149,155,161,166,168,202,194,138,119,177,179,179,179,178,176,175,175,173,172,80,83,87,91,106,122,134,140,144,151,159,162,166,170,205,200,146,107,173,180,180,180,179,178,178,177,175,174,81,83,88,93,108,124,138,143,145,157,178,138,150,173,198,186,142,98,163,184,182,182,182,180,179,179,177,177,81,85,89,94,109,140,165,132,110,138,161,103,114,174,191,169,132,90,149,186,185,184,183,182,181,181,179,179,82,85,89,95,110,151,161,105,82,91,122,93,69,140,173,150,135,94,142,189,186,186,185,184,183,183,181,180,82,86,88,96,112,133,135,104,91,86,113,97,66,72,110,119,139,108,125,189,187,186,186,186,184,183,183,182,83,86,89,97,113,129,140,141,136,126,124,106,87,66,68,84,113,108,100,180,189,188,188,187,186,186,185,183,83,86,89,97,114,130,144,151,160,159,119,119,108,96,76,70,88,92,83,166,193,192,190,188,188,188,186,185,84,86,90,98,115,131,145,151,173,159,102,108,136,129,109,85,75,78,74,156,196,194,192,191,190,189,187,186,82,85,90,99,117,133,148,156,167,171,136,90,115,153,135,115,90,70,67,136,197,195,194,193,192,190,188,187,83,87,89,98,118,133,163,168,144,176,148,100,108,187,154,134,110,71,59,101,194,196,195,195,194,192,191,190,84,87,89,98,118,134,175,189,140,140,139,110,147,209,170,142,121,80,59,87,192,199,197,196,196,194,194,192,84,86,89,100,119,135,166,191,152,110,144,139,158,210,169,139,122,90,63,85,193,201,199,199,197,196,194,193,84,86,89,101,120,137,152,172,159,116,150,176,161,198,175,142,118,93,68,84,193,201,201,200,199,197,196,195,84,86,89,102,121,138,150,162,161,122,152,204,144,174,176,151,116,89,72,83,193,203,202,201,200,199,197,196,83,85,88,102,121,138,151,156,173,150,167,152,103,147,172,144,111,86,72,90,196,204,203,202,201,200,198,196,84,87,88,101,122,139,153,157,170,193,172,117,116,159,161,133,104,82,72,103,202,204,205,203,202,201,199,197,82,85,87,102,122,139,151,156,162,189,193,171,151,165,145,120,98,84,74,119,205,204,204,203,202,201,199,199,80,83,86,101,121,138,151,154,161,172,190,177,144,145,132,113,101,92,77,131,205,204,204,203,201,201,199,198,79,81,85,101,122,138,152,156,154,92,159,178,138,146,147,143,127,105,77,144,207,205,205,203,202,201,201,199,78,80,83,99,120,137,151,158,109,16,142,192,174,165,154,161,141,106,71,147,209,206,206,204,202,202,201,199
10,69,79,98,123,133,142,148,150,152,156,157,160,160,161,162,162,160,159,159,156,158,157,151,149,148,147,144,140,70,81,100,125,135,145,149,152,155,158,160,162,162,163,164,164,164,163,161,162,142,142,157,152,151,148,146,142,70,83,101,126,137,146,150,154,157,160,163,164,166,166,167,167,167,167,163,172,124,85,161,155,154,150,148,145,73,84,104,128,140,147,154,156,158,162,165,166,167,169,170,169,169,169,166,174,130,75,155,159,156,155,151,148,75,85,106,129,141,149,156,158,160,164,167,169,170,171,172,173,172,171,169,176,126,69,151,165,159,158,155,152,76,87,107,132,142,152,159,160,163,166,169,170,173,173,174,175,175,175,173,178,126,69,152,168,163,161,158,155,78,88,109,133,144,154,160,162,163,169,172,173,175,175,176,179,177,177,174,183,135,72,151,171,164,164,161,157,79,89,110,133,146,154,160,162,165,171,175,175,176,178,179,181,181,178,178,184,128,66,151,173,166,165,162,159,80,89,112,134,146,155,161,163,166,172,176,176,179,180,180,181,184,182,184,162,88,61,154,175,168,168,164,161,81,90,113,135,147,156,162,165,168,174,177,179,180,182,182,182,179,166,188,141,54,69,165,176,172,168,166,162,82,92,114,135,147,156,163,166,169,174,179,181,181,183,187,189,174,133,121,109,57,53,174,175,173,170,167,164,83,93,116,136,148,158,164,167,171,177,180,181,183,183,166,175,188,166,112,56,60,45,154,181,173,171,167,166,84,95,118,137,149,159,164,168,172,178,181,183,188,179,127,95,94,129,74,43,64,40,110,191,172,173,170,168,84,95,119,136,150,160,165,169,173,178,183,180,170,187,151,105,17,26,25,75,81,36,98,192,174,174,172,169,86,96,119,137,151,160,167,170,174,178,185,169,117,131,174,123,43,20,25,103,130,50,88,191,175,176,173,170,85,96,122,138,151,160,168,171,175,178,187,179,155,106,153,134,73,20,32,105,153,71,74,190,179,177,174,171,85,97,122,138,152,160,168,172,176,181,185,156,165,126,116,132,79,17,49,131,151,84,54,179,182,177,174,172,86,97,122,139,152,161,168,172,177,180,191,155,122,112,69,120,93,43,89,150,131,79,50,176,183,178,176,173,86,96,122,140,152,161,169,172,177,182,187,161,116,98,75,109,141,82,110,155,99,57,64,188,184,180,176,173,86,98,124,140,152,161,170,172,177,182,184,186,152,100,92,94,137,83,112,140,90,40,83,195,180,180,178,174,86,98,124,139,152,163,171,173,178,182,181,188,168,129,100,84,138,139,136,118,87,31,103,200,181,181,179,177,83,97,124,138,151,162,168,171,175,181,183,176,166,143,119,102,154,177,138,103,79,29,126,197,181,179,176,175,82,95,122,135,149,160,167,170,175,180,185,167,156,146,133,115,146,165,127,92,68,25,150,191,180,178,174,173,81,94,121,134,148,159,166,169,175,180,184,182,156,151,139,115,133,149,114,79,46,38,180,183,180,179,175,173,76,90,117,130,145,156,164,168,173,178,181,186,168,147,131,110,110,124,96,68,27,92,197,181,180,178,176,174,92,104,128,141,153,163,170,173,177,181,185,188,188,155,123,106,100,112,101,67,28,147,189,178,177,173,170,168,123,127,132,131,124,123,123,122,122,120,120,114,130,166,131,128,116,112,106,61,37,87,93,89,86,86,86,76,84,82,82,82,82,82,84,84,85,84,83,81,94,171,151,143,121,111,90,57,36,69,71,69,67,59,23,0
1,164,166,170,173,174,176,177,177,176,177,179,180,180,181,180,180,180,181,184,181,181,182,183,180,179,178,179,178,169,172,174,177,179,179,179,182,181,182,184,184,183,183,186,185,188,183,170,186,185,185,186,185,184,182,184,183,174,176,180,183,183,184,184,186,186,189,190,189,188,193,160,176,206,198,106,181,193,189,188,188,188,187,185,183,178,180,185,186,187,188,190,190,190,190,192,189,200,218,118,156,217,183,96,185,186,194,193,192,190,189,187,187,182,185,191,192,193,194,195,194,196,196,197,192,216,210,109,170,219,158,106,198,150,146,204,193,195,193,192,191,188,190,195,197,199,199,199,198,200,201,194,154,209,191,109,188,219,138,118,211,156,105,207,198,198,196,195,194,191,194,199,200,202,203,204,204,202,218,193,121,179,176,116,203,228,143,142,223,157,105,206,203,202,202,200,199,195,199,201,203,203,208,210,209,206,228,180,117,174,173,131,206,215,136,158,229,145,111,212,205,205,204,203,202,199,202,204,207,209,213,211,210,209,228,162,123,167,150,122,189,194,123,174,234,143,120,219,209,209,208,207,205,202,205,208,210,212,215,216,212,212,236,165,135,158,152,99,199,191,119,199,228,141,132,228,214,213,212,212,210,205,208,210,214,215,217,218,217,219,237,152,123,162,175,103,216,198,127,215,210,132,148,230,216,219,218,215,214,209,212,213,216,218,220,219,218,224,243,177,115,143,157,93,205,168,134,230,217,128,168,232,218,221,219,219,218,212,215,218,219,221,222,222,220,226,243,169,101,140,136,96,181,138,152,234,207,122,189,234,224,224,221,220,220,213,217,220,223,225,226,227,223,232,244,184,144,173,208,193,207,205,147,176,202,116,207,233,228,227,225,224,222,214,218,221,224,228,227,229,225,243,245,192,158,123,170,221,216,219,180,116,155,116,224,233,230,228,227,227,227,218,220,225,226,227,230,231,227,253,227,174,136,106,99,138,157,230,229,149,79,117,239,232,233,233,230,228,227,219,222,227,228,230,232,232,232,255,228,175,126,114,121,129,160,239,253,205,86,135,249,233,234,234,233,231,230,222,227,229,232,233,235,234,237,255,226,166,132,132,136,174,217,205,243,217,119,149,253,234,237,236,235,235,234,225,229,231,233,234,236,236,242,255,219,171,130,145,143,208,245,222,197,176,131,112,243,239,238,237,235,236,236,227,231,232,233,234,236,237,247,255,222,177,148,152,168,241,247,216,186,140,104,119,248,240,240,241,240,239,238,230,231,234,236,236,239,240,248,255,223,178,161,145,191,255,252,203,168,127,81,141,255,242,243,242,241,242,240,232,234,235,238,239,240,241,245,252,220,185,172,149,186,255,245,189,154,114,79,186,255,244,245,244,244,242,241,232,234,236,240,241,242,242,243,244,221,195,186,153,179,255,216,174,135,98,109,247,249,246,245,246,244,244,244,231,236,238,240,241,241,244,245,242,225,198,190,150,187,243,200,168,121,80,168,255,247,249,247,246,247,249,247,233,237,240,243,243,243,247,246,251,227,201,185,139,191,218,182,153,106,85,224,255,250,250,248,247,248,249,247,234,237,241,244,245,246,245,243,255,233,211,175,144,188,181,157,138,86,125,255,252,253,253,252,251,250,250,249,234,237,238,242,244,247,238,248,254,252,224,178,159,185,166,152,124,85,202,255,253,254,254,255,255,252,252,250,233,237,239,240,242,241,237,249,244,236,218,178,171,169,156,137,92,140,255,254,255,254,255,255,254,253,252,251
6,189,190,189,189,189,189,190,189,190,188,188,187,186,186,185,186,185,184,183,182,180,180,180,179,178,177,175,174,191,191,191,191,191,191,191,191,191,189,189,189,188,188,187,186,185,186,184,183,182,181,181,180,179,178,177,175,193,193,193,193,193,193,192,193,192,191,191,191,190,189,188,187,187,187,186,185,184,182,182,181,180,179,178,176,194,195,195,195,194,194,194,194,193,193,193,192,191,190,189,189,189,187,186,185,185,184,183,181,180,179,178,177,195,196,197,196,196,196,195,195,194,194,194,193,193,192,191,191,191,189,187,187,186,185,184,182,181,180,179,179,196,198,199,198,199,199,198,197,196,196,195,194,195,193,193,193,192,190,189,188,188,186,186,184,183,181,180,179,197,199,200,201,201,200,199,199,199,197,196,195,196,195,195,194,194,192,191,190,189,187,186,186,185,183,181,180,199,201,201,201,202,201,201,201,200,200,200,199,197,196,195,195,193,192,190,187,185,181,173,172,182,181,182,181,201,203,203,202,203,202,202,199,194,184,180,182,182,176,167,162,156,164,167,166,159,157,143,154,186,169,172,182,202,204,205,205,203,202,193,180,171,156,144,138,137,156,152,141,131,140,157,159,150,145,140,143,166,144,168,184,204,205,207,204,194,182,162,156,161,159,154,131,92,117,136,133,110,124,130,129,121,108,110,118,136,158,182,185,205,202,192,179,168,161,153,149,153,159,150,109,73,63,77,83,86,102,114,125,131,146,158,169,180,187,187,185,190,181,170,162,155,150,147,141,145,151,140,105,68,56,68,99,130,162,183,189,192,196,195,194,193,190,188,187,182,176,167,158,152,151,150,145,145,148,148,126,79,55,117,191,199,202,200,199,198,197,197,195,193,191,189,188,188,176,167,159,154,152,151,147,146,149,149,128,82,58,84,193,204,203,201,200,199,198,198,195,194,193,191,190,178,171,166,159,154,153,151,152,149,150,148,132,85,61,59,156,206,204,203,202,200,199,198,197,194,193,193,191,171,167,164,158,156,154,154,153,154,156,154,139,94,61,55,111,205,205,204,202,201,200,199,198,196,194,193,192,176,159,156,159,163,160,154,148,144,145,144,125,90,63,56,75,196,207,204,203,202,201,200,199,197,195,194,193,170,153,154,162,165,164,152,146,139,137,129,108,87,68,56,103,201,207,205,204,204,203,202,200,199,196,195,195,146,141,153,159,158,154,146,136,129,133,122,96,86,76,62,170,210,207,206,205,205,205,203,201,199,198,196,194,105,120,137,150,146,136,126,117,108,105,92,84,83,82,64,180,209,207,206,206,205,204,202,201,199,197,196,194,51,72,96,123,122,111,101,94,86,69,56,70,87,83,60,170,210,208,207,205,204,203,202,201,198,197,195,193,40,27,32,58,77,81,75,72,68,58,56,77,87,81,83,186,210,208,207,206,205,204,202,201,199,197,195,194,42,29,11,15,19,47,97,121,104,78,75,94,112,156,185,208,209,209,207,207,206,205,203,202,201,199,196,195,40,36,11,11,13,125,209,213,202,174,158,170,196,211,213,211,209,209,207,207,206,205,203,202,202,200,198,196,38,37,13,7,49,198,219,217,217,217,216,215,215,213,212,211,210,209,208,208,207,205,204,203,202,201,200,198,42,32,10,17,139,219,217,216,217,217,215,215,214,214,213,212,210,209,209,208,207,206,201,195,185,158,134,133,42,20,4,71,210,218,217,216,216,216,215,215,213,213,213,212,211,211,207,185,154,138,122,102,81,55,38,36
10,68,102,92,35,59,81,83,88,93,101,113,118,124,129,132,135,137,138,140,143,145,148,148,149,152,153,153,154,74,107,86,33,65,82,84,89,94,100,114,120,125,129,132,136,137,138,143,144,147,148,149,150,152,154,155,155,83,109,78,33,70,82,85,90,95,104,115,120,127,131,135,135,143,140,132,146,147,148,150,151,153,154,156,157,93,110,70,35,74,82,86,90,95,106,117,122,128,133,136,134,158,140,108,147,148,149,151,152,154,154,157,159,100,110,61,40,77,82,87,91,96,108,118,123,129,133,137,135,161,148,106,144,150,150,152,153,155,156,158,159,102,111,53,45,79,83,88,93,98,110,118,124,130,133,138,136,158,152,101,136,153,151,153,155,156,158,159,159,107,111,45,49,80,83,88,92,98,112,120,126,130,134,138,139,153,158,112,122,157,151,154,155,158,159,160,160,111,107,39,56,81,83,89,94,100,112,123,127,131,135,140,139,148,160,120,106,157,153,155,157,159,160,160,162,115,103,35,63,82,84,88,94,99,135,123,101,131,136,138,141,145,154,129,96,147,156,156,157,160,161,161,163,119,95,33,67,83,83,95,99,104,146,117,88,110,140,139,142,144,162,144,92,130,159,156,158,160,161,162,164,123,87,34,72,79,97,146,100,93,131,131,101,87,135,141,144,141,175,158,100,114,161,155,160,160,162,163,165,125,76,35,77,81,97,124,88,75,103,145,121,85,116,149,142,143,172,149,108,102,161,156,160,162,163,164,165,124,67,38,79,84,86,95,95,81,90,143,123,93,83,122,145,148,161,141,114,93,156,159,160,163,165,165,166,126,57,44,83,83,88,93,99,99,92,139,126,95,81,78,111,147,144,137,122,90,148,163,161,163,166,167,167,124,49,50,85,85,89,94,99,110,115,155,145,110,86,77,76,103,118,129,122,91,142,164,161,164,166,167,168,119,42,55,84,85,89,95,99,108,140,170,153,127,94,79,68,79,93,115,118,88,133,166,162,165,166,167,168,114,37,61,86,86,90,94,100,157,164,160,160,139,110,88,78,82,98,106,110,83,119,168,163,165,167,168,168,106,34,67,87,86,91,91,114,178,168,161,159,151,129,98,84,85,92,101,101,79,115,169,162,166,168,168,169,96,34,72,87,87,91,93,111,181,168,161,166,152,133,99,83,78,84,95,92,75,137,169,163,166,168,169,170,86,34,75,87,87,92,96,102,154,125,166,171,146,126,95,84,79,88,97,86,93,162,164,167,167,168,169,170,74,35,79,87,88,92,97,100,125,108,182,160,138,124,101,89,82,88,94,80,126,168,163,167,167,168,169,170,63,40,83,87,88,92,99,97,149,164,179,161,135,121,105,92,87,87,88,85,154,165,165,166,168,168,170,171,53,44,84,86,88,93,97,104,175,179,178,153,137,111,106,95,90,86,79,110,167,163,166,167,168,169,171,172,45,49,85,86,87,94,93,116,187,177,170,145,134,105,100,97,91,83,79,149,165,164,167,168,169,170,172,173,38,53,87,85,88,94,94,115,186,179,161,136,125,102,96,95,93,76,107,166,162,165,166,168,169,170,172,173,34,58,88,86,89,94,94,117,189,172,157,130,119,102,95,92,89,71,135,166,163,165,166,168,169,171,172,173,33,63,88,86,89,95,95,121,180,160,159,138,127,107,92,87,79,77,149,163,164,165,166,168,171,172,172,173,34,66,88,86,90,95,98,112,156,158,165,155,136,111,91,83,71,89,160,161,164,166,167,169,171,172,172,174
20,141,144,148,151,152,155,159,160,162,162,164,164,163,164,165,164,164,163,163,162,160,158,158,158,156,154,153,152,142,146,150,153,155,158,161,162,164,165,166,166,169,153,158,168,166,165,165,164,163,162,160,159,158,158,157,155,145,149,152,155,159,162,164,165,166,169,170,167,190,136,118,167,169,167,168,167,166,164,163,162,161,161,159,158,147,151,155,159,161,165,166,168,169,172,171,170,198,142,119,134,148,172,169,169,168,166,165,164,164,163,161,161,149,153,158,161,164,167,169,171,173,173,174,172,197,140,145,149,117,176,171,172,171,170,168,167,166,166,165,163,152,156,161,164,165,168,172,175,175,176,176,175,204,155,150,165,104,173,174,173,173,172,171,170,170,169,168,165,155,159,163,166,168,170,174,177,178,178,179,178,209,165,146,183,107,167,178,176,175,174,173,172,172,171,170,168,158,162,165,168,170,173,176,178,179,180,182,182,208,157,143,189,115,157,183,179,178,176,175,174,173,173,172,171,160,164,166,170,173,176,178,179,184,188,169,183,219,163,149,192,123,146,185,181,180,179,177,177,176,175,174,172,161,165,169,172,175,178,179,181,193,213,173,159,179,155,140,205,137,140,187,182,181,181,180,180,178,177,175,174,163,167,171,174,177,178,187,213,170,160,193,157,118,112,111,187,140,133,188,184,183,183,182,181,181,179,178,177,165,169,172,175,179,180,199,193,185,148,190,188,182,157,112,139,133,126,191,187,186,185,183,182,181,180,180,179,166,171,173,178,181,183,196,186,158,144,156,180,197,192,131,89,106,117,192,187,187,186,185,183,182,181,181,180,168,173,176,179,183,186,193,206,174,128,92,93,122,191,159,95,73,108,194,189,189,188,187,185,185,184,182,182,169,173,179,182,184,188,191,220,183,133,99,89,85,179,191,129,72,96,193,193,191,189,189,188,187,186,182,182,171,176,181,183,187,189,193,215,183,140,108,115,132,190,214,163,100,84,190,195,193,191,191,189,188,187,185,183,173,178,182,185,188,192,195,223,191,143,126,121,162,219,210,167,124,83,187,197,194,192,192,190,189,188,186,185,174,179,183,188,191,194,197,227,196,153,134,138,191,225,192,146,112,83,189,197,196,194,193,192,191,189,189,187,175,181,184,187,192,195,198,226,204,168,151,146,209,217,173,125,91,99,200,197,196,195,195,195,194,191,190,187,177,183,187,190,193,195,198,221,205,169,161,152,215,208,161,116,83,107,205,199,199,197,196,196,195,194,190,188,179,184,188,192,194,198,199,213,205,172,172,156,209,193,147,108,77,114,206,201,201,200,197,196,195,194,192,190,179,185,190,194,196,198,200,207,210,186,183,156,201,178,131,97,70,131,209,202,201,201,200,197,196,196,194,191,180,186,191,194,197,199,203,205,211,191,183,150,187,158,116,92,69,158,209,204,202,201,200,199,198,197,195,193,181,186,191,194,198,200,204,206,218,187,161,133,171,138,119,95,80,192,208,206,205,202,201,201,200,198,196,194,182,187,192,195,199,202,204,207,222,196,159,150,168,128,130,83,128,212,208,207,207,204,203,202,201,200,197,194,183,187,192,196,200,202,203,211,227,209,182,173,155,123,119,73,178,212,207,208,208,206,204,203,202,201,199,196,182,186,190,195,199,202,200,211,213,192,188,172,144,116,99,92,202,210,207,207,206,204,203,203,202,201,199,196,181,186,191,196,200,203,196,217,205,175,171,160,127,104,79,120,211,210,208,208,206,205,203,202,201,200,199,196
12,131,136,140,142,145,147,148,151,151,151,152,152,152,152,152,151,151,152,152,150,149,148,147,147,146,146,143,141,133,137,141,144,146,148,150,152,153,153,153,154,154,154,153,156,155,152,153,151,151,151,150,150,149,147,145,145,134,138,141,145,147,149,152,153,154,156,154,153,155,159,153,138,148,158,154,158,154,153,153,153,151,150,148,147,135,139,142,145,148,151,153,153,155,155,161,148,118,142,170,134,98,140,150,129,153,156,155,154,152,151,150,150,136,139,142,146,150,152,153,155,157,154,181,180,149,108,131,181,133,81,110,111,98,157,157,156,154,153,153,152,139,142,144,147,151,154,156,158,156,168,180,179,174,126,68,146,153,84,53,118,81,111,165,155,156,155,153,153,140,144,147,150,153,155,158,159,153,188,155,154,176,116,62,121,140,84,45,88,89,60,159,158,156,156,155,154,142,144,149,151,155,159,158,157,162,134,103,161,158,100,53,130,128,74,52,92,78,60,161,159,158,157,156,156,144,146,151,153,157,158,160,183,173,105,62,110,141,116,46,116,154,91,53,113,81,75,168,159,160,159,158,156,146,149,152,155,156,164,188,185,173,122,65,61,147,119,33,121,170,88,64,154,84,105,171,159,160,160,159,158,147,151,156,157,161,190,161,149,181,133,67,24,111,104,11,66,159,74,54,139,90,147,166,162,161,160,159,158,150,153,159,158,179,188,157,127,163,123,68,24,36,45,26,62,87,90,97,108,61,141,172,162,163,162,160,159,152,156,158,163,179,158,131,91,138,123,71,28,32,35,113,172,134,130,112,97,75,88,175,163,164,163,162,160,154,158,161,160,183,161,135,81,109,125,67,33,40,86,148,163,154,130,97,72,86,65,157,169,165,165,163,160,157,159,164,160,184,167,141,101,87,120,95,43,65,136,161,155,150,130,95,73,67,63,163,169,165,165,164,162,159,162,165,168,189,171,149,123,80,99,115,50,129,169,165,158,155,114,88,74,39,98,180,168,167,165,163,162,161,166,165,177,193,177,157,128,101,83,85,105,169,169,172,169,140,96,84,64,42,159,173,168,170,172,174,168,163,167,168,181,190,182,165,134,121,107,94,141,157,165,175,160,117,90,83,41,86,188,179,179,162,139,104,66,165,169,170,177,183,185,169,142,135,122,103,141,142,172,172,142,106,85,73,41,157,165,125,85,46,29,23,17,167,170,174,171,185,187,172,150,147,131,108,148,144,168,162,122,96,77,58,58,88,38,21,12,15,16,19,27,170,172,177,171,179,180,168,154,148,133,117,140,161,147,137,104,84,69,49,20,11,10,16,13,17,11,9,23,173,175,179,176,173,180,169,157,144,132,123,129,151,134,112,94,75,64,25,1,11,20,8,7,15,18,3,11,173,176,180,176,168,184,169,155,142,131,116,118,139,125,101,84,69,48,26,0,0,21,14,0,6,19,12,2,175,177,182,177,172,183,162,145,136,129,111,118,132,116,84,74,57,26,32,8,0,6,21,5,0,10,17,5,178,181,185,177,173,181,147,130,134,124,110,122,121,101,72,60,23,0,22,23,0,0,12,16,0,0,13,13,179,181,185,177,171,191,149,139,146,135,121,123,111,88,69,42,17,0,7,25,1,0,0,14,10,0,3,14,181,182,191,163,159,193,157,158,164,136,118,117,103,81,63,21,17,0,0,14,14,0,0,5,17,2,0,10,182,182,199,128,124,196,171,178,166,127,119,120,99,78,53,20,8,6,0,2,18,0,0,0,14,11,0,0
23,139,141,143,147,149,152,155,156,158,159,161,161,162,163,164,164,164,164,163,162,163,162,161,161,161,161,160,157,139,141,144,147,150,153,155,157,159,160,162,163,163,164,165,164,165,165,165,164,164,163,163,162,163,162,162,159,140,142,145,147,150,155,156,158,159,161,162,164,165,166,167,166,166,165,166,166,166,165,165,164,163,162,163,161,142,143,146,150,152,155,157,159,160,162,165,163,163,163,160,168,169,167,167,167,168,167,166,166,164,164,164,163,143,143,148,151,155,156,159,161,162,160,161,169,180,177,145,125,160,170,170,169,168,168,167,166,165,164,164,163,142,144,149,152,154,157,159,161,160,168,187,184,181,171,156,143,144,125,169,170,168,168,168,168,167,165,165,164,144,145,148,152,154,158,160,163,160,183,182,146,148,120,124,139,118,125,171,169,169,169,170,168,167,166,166,166,144,146,150,153,156,160,162,165,163,181,164,136,91,127,169,164,160,172,171,170,170,170,170,169,169,169,167,166,144,147,150,154,157,161,163,166,163,184,166,152,81,144,180,176,177,173,173,173,173,172,170,169,170,169,168,167,145,147,151,155,159,161,163,166,164,186,169,153,103,155,177,133,167,175,174,174,173,173,172,171,171,170,170,168,146,149,152,154,159,161,163,167,165,191,177,182,193,194,182,94,131,185,173,174,174,174,174,173,172,171,171,170,147,150,153,156,159,162,165,164,169,196,202,204,187,178,140,96,118,186,178,176,175,176,175,174,174,173,172,172,147,150,155,157,161,163,164,177,189,195,199,192,184,174,99,121,144,116,163,177,179,177,176,177,175,174,174,172,148,150,154,158,162,162,190,198,192,195,200,194,181,152,90,113,143,84,87,111,144,182,176,177,176,176,175,174,149,151,155,160,162,166,199,185,179,185,185,172,174,132,85,83,115,96,89,99,95,171,181,178,177,178,176,174,149,152,156,162,161,170,196,181,189,199,193,186,168,124,93,78,84,100,96,106,102,166,183,178,179,178,177,177,148,152,157,162,163,162,205,203,203,196,177,160,141,109,99,91,59,79,98,104,106,169,184,180,180,179,178,177,149,152,157,162,164,162,206,202,180,148,120,112,102,105,109,82,44,75,102,109,111,175,184,181,181,181,179,179,151,153,157,162,165,161,196,183,160,123,103,70,82,118,108,68,69,86,102,110,109,177,184,182,181,182,181,180,150,154,158,162,166,161,186,183,151,109,89,64,101,93,70,69,86,96,97,107,117,184,183,183,184,183,181,180,151,154,159,163,169,158,184,182,143,116,99,79,62,54,71,84,97,104,102,105,157,189,184,184,184,184,182,181,151,154,159,163,169,157,182,182,150,124,103,98,73,68,95,107,112,115,103,133,192,185,186,186,185,185,182,182,150,154,160,162,171,153,180,186,155,128,109,107,92,82,108,116,117,116,104,155,194,187,188,187,186,186,185,184,151,155,160,164,171,155,174,184,152,132,114,109,99,86,107,115,116,112,110,175,191,187,188,188,187,186,186,185,152,155,161,165,171,158,170,181,149,133,115,110,102,93,106,112,117,107,135,194,189,188,189,189,188,186,185,185,152,155,161,164,171,164,169,175,149,131,115,106,105,102,109,114,110,124,182,192,190,189,189,189,189,188,186,185,152,156,161,165,171,166,169,171,141,124,110,108,109,107,107,111,126,184,194,191,192,192,191,190,189,188,187,186,152,155,161,165,171,165,172,175,139,121,111,110,109,109,109,107,168,195,189,191,191,192,191,191,189,188,187,186
19,202,203,203,206,207,208,207,208,208,208,208,207,207,207,206,206,205,202,202,202,202,201,200,199,200,198,196,195,202,204,206,207,207,209,209,209,210,210,209,209,208,208,207,207,206,204,203,203,203,202,201,201,201,200,199,198,204,205,207,207,209,210,210,210,211,210,210,210,209,209,209,207,206,206,205,205,204,203,203,202,203,201,200,201,206,206,208,209,210,211,212,212,212,211,212,211,210,210,210,208,207,207,207,206,206,206,205,204,204,201,202,202,207,208,209,210,211,213,214,214,214,214,215,213,212,211,211,210,208,208,208,207,207,206,206,205,203,202,202,201,207,208,210,211,213,214,215,215,214,215,215,214,215,212,211,211,210,209,209,210,209,208,206,206,204,204,203,202,208,209,212,214,214,215,217,217,217,217,216,215,215,213,213,214,212,211,210,209,210,209,207,207,206,204,204,204,210,213,214,215,216,217,217,217,218,217,217,216,215,215,215,216,216,214,214,212,211,210,209,209,207,208,206,205,212,214,215,216,218,218,219,218,220,219,218,216,216,215,212,196,198,212,207,207,208,208,205,205,210,187,202,206,211,214,215,216,218,217,218,218,219,215,216,218,217,220,218,200,205,219,205,203,211,205,205,205,194,131,193,210,212,216,216,217,220,221,220,222,226,201,190,198,207,210,203,200,206,209,198,206,222,209,188,164,142,165,208,208,214,216,216,217,221,222,219,219,201,191,198,201,199,203,199,187,156,158,156,158,184,171,165,170,193,212,211,209,215,216,217,219,221,216,223,227,209,213,218,211,197,190,166,161,147,122,123,167,205,205,215,218,216,212,210,211,216,217,219,220,222,212,249,254,235,222,219,211,205,186,144,116,135,122,119,203,224,217,215,213,213,213,211,211,218,218,218,222,224,215,254,249,217,192,172,175,177,169,144,123,133,123,133,216,218,215,215,215,214,215,214,212,219,219,220,221,226,214,239,237,199,161,149,118,123,177,152,129,135,124,142,221,219,217,217,216,215,215,214,214,219,220,222,223,226,211,230,233,192,147,120,97,148,187,153,133,138,123,163,227,218,220,219,217,217,215,214,214,220,221,223,223,229,208,231,236,201,170,130,110,151,148,135,136,133,132,151,227,220,221,220,219,217,215,215,214,220,223,223,223,229,206,230,238,206,174,150,128,97,88,91,105,119,130,129,219,223,220,220,220,219,216,215,215,221,224,223,224,231,201,227,237,206,177,149,142,128,105,98,106,121,125,126,209,226,222,222,221,220,218,216,217,222,223,223,225,231,205,220,233,204,176,151,142,142,126,119,125,130,134,130,208,227,222,223,221,221,220,219,218,222,223,224,225,232,208,218,231,200,173,153,145,144,128,123,128,134,137,138,217,225,223,223,222,222,222,222,220,222,225,225,227,233,214,218,227,197,171,153,143,142,131,127,131,138,137,156,228,224,224,224,224,223,222,222,220,223,225,226,227,233,214,226,225,191,167,152,141,142,139,136,139,147,137,192,233,225,225,224,224,223,222,221,219,224,224,227,228,231,213,232,229,196,171,157,143,141,146,144,148,143,162,227,229,228,227,226,225,224,222,223,222,224,225,227,229,230,210,236,224,203,181,159,143,141,149,148,146,172,220,231,229,229,229,228,227,225,224,222,222,223,224,225,228,225,215,232,214,194,182,159,144,146,147,140,182,232,230,228,229,228,226,225,225,225,224,222,221,222,223,226,229,222,231,231,217,190,172,159,146,145,139,142,211,230,227,228,228,228,226,224,224,224,221,221,220
2,201,202,203,202,203,204,204,204,203,202,203,203,202,202,202,201,200,199,197,196,196,195,194,193,191,190,189,188,202,203,204,205,204,205,206,206,206,205,205,203,203,205,205,204,204,204,204,200,196,197,194,192,192,190,189,188,203,204,205,207,207,207,207,207,207,206,206,206,204,192,193,195,189,185,179,185,201,196,194,194,194,192,190,189,206,206,207,208,208,208,209,209,208,208,208,205,188,177,178,180,177,158,141,131,169,201,201,195,195,194,192,191,207,208,208,208,209,209,209,210,210,210,209,195,184,182,174,169,180,152,131,149,156,158,179,198,196,195,194,193,208,209,210,210,210,211,211,211,212,212,210,202,193,178,161,148,137,109,105,127,137,117,109,186,202,196,194,192,209,210,211,212,212,212,213,213,213,207,198,195,182,146,120,109,119,134,177,172,143,119,145,198,199,198,196,194,209,210,213,213,213,214,214,215,215,203,192,178,147,108,91,100,200,215,211,212,208,201,207,202,199,199,197,195,211,211,213,214,214,216,216,216,214,204,183,140,107,98,92,134,219,207,208,208,206,205,204,203,200,200,198,197,212,214,214,215,215,217,217,217,214,205,176,114,92,92,95,188,216,210,210,209,208,205,204,205,204,201,199,197,213,214,215,215,217,216,218,217,214,203,171,114,94,88,123,221,212,213,211,210,209,208,208,197,192,202,200,197,214,215,217,217,218,218,220,215,210,200,156,102,104,98,130,221,212,214,212,210,209,210,174,143,133,174,205,198,215,216,216,218,220,219,221,215,212,194,146,112,112,97,141,223,213,215,213,211,213,178,144,144,127,159,208,198,215,216,217,219,220,221,220,213,212,194,151,125,111,91,163,227,212,216,213,216,187,144,150,141,125,191,204,200,216,217,219,220,221,222,218,212,211,191,151,127,108,96,129,225,220,213,221,196,135,134,143,122,158,211,202,201,217,219,220,220,221,223,219,212,208,186,156,130,105,105,102,136,194,226,200,151,128,128,127,119,205,207,204,203,218,219,220,221,221,223,218,212,207,186,154,123,106,105,110,108,121,166,136,130,141,125,108,179,213,206,206,203,218,220,221,222,222,223,215,211,217,186,150,129,106,105,110,116,122,116,117,129,126,118,186,216,207,209,206,204,218,220,221,222,223,225,211,218,216,180,147,128,108,106,112,115,122,127,118,123,117,192,219,209,210,209,207,204,218,219,221,223,224,224,210,221,209,172,144,130,109,106,113,116,122,126,120,101,181,223,210,210,210,209,207,204,220,221,221,223,226,222,212,219,201,167,146,132,109,106,117,121,123,124,107,159,222,213,212,211,210,209,208,206,220,221,223,224,226,219,212,215,189,165,149,130,109,107,120,122,125,108,127,225,216,215,213,213,211,209,208,207,221,222,224,225,227,218,210,202,181,161,143,126,108,107,120,118,116,97,195,224,216,216,215,214,211,210,208,207,221,222,223,224,226,218,207,197,179,156,142,124,107,107,118,117,93,166,229,218,218,217,215,214,213,211,208,208,221,222,223,225,224,216,200,190,171,150,136,121,108,109,108,94,157,230,220,220,219,218,215,214,214,212,209,208,221,223,223,224,223,216,196,188,168,149,131,118,106,97,105,176,230,222,222,220,219,218,217,214,212,211,210,208,221,223,224,223,222,212,194,183,169,147,126,111,92,140,220,233,223,223,222,221,219,217,217,215,213,212,210,208,221,222,225,223,215,193,182,180,165,139,115,100,107,221,232,224,225,223,223,222,221,219,218,216,213,213,210,208
15,113,122,130,138,143,145,149,154,159,163,168,172,175,179,182,185,188,190,192,194,195,196,197,198,199,200,201,201,115,123,131,139,145,147,150,156,161,165,169,173,176,179,183,187,190,192,194,194,196,197,198,199,200,201,202,203,116,124,133,141,147,149,152,158,163,167,171,175,178,181,185,188,191,193,195,196,197,199,200,200,201,202,203,204,117,126,134,142,147,149,153,159,165,169,173,177,180,184,187,190,193,195,196,198,199,201,202,202,203,204,204,205,119,127,136,143,147,150,154,161,166,170,175,178,181,185,188,191,194,197,198,199,201,202,203,204,205,207,207,207,120,128,138,145,149,152,156,162,168,173,176,180,183,187,190,193,195,198,199,200,202,204,205,206,207,208,208,209,121,129,139,147,156,158,160,164,169,174,178,182,185,189,191,194,197,199,201,202,204,206,207,209,209,209,210,210,122,130,140,158,189,182,171,169,171,176,180,183,186,190,193,196,199,201,203,205,206,207,209,210,211,211,211,212,123,132,141,166,204,192,179,175,174,181,183,182,181,183,190,196,199,202,205,206,207,209,210,211,212,213,213,214,125,133,142,156,178,178,171,167,169,181,183,180,175,171,178,185,190,196,202,204,206,210,212,213,214,215,216,216,126,134,144,152,159,162,160,157,162,172,175,174,172,174,178,177,178,183,192,195,192,195,204,212,215,216,217,217,128,136,146,153,158,161,164,168,171,174,173,169,168,173,175,170,166,170,184,192,187,177,175,193,213,218,219,220,129,138,147,153,159,162,166,173,178,182,184,183,181,180,175,167,162,169,183,192,192,175,165,167,189,213,220,221,130,139,148,155,160,164,168,174,179,185,189,192,194,196,194,189,188,191,188,184,190,183,173,172,165,184,214,222,131,140,149,156,162,165,169,175,180,186,190,195,199,199,197,206,219,209,183,161,183,187,177,183,170,159,184,215,133,141,150,158,163,165,169,176,181,187,192,199,207,192,179,193,214,206,170,142,174,185,180,186,180,161,150,176,134,143,152,159,164,166,170,177,183,188,193,202,210,186,169,192,221,210,170,150,166,176,181,183,175,161,142,137,135,144,153,161,165,167,172,178,184,190,195,201,200,179,170,196,221,205,169,157,159,162,171,173,159,152,144,135,136,145,154,162,166,169,173,179,185,191,195,199,206,203,183,186,197,183,165,164,166,166,171,169,151,143,144,142,136,145,155,162,165,169,174,180,186,192,196,200,215,238,208,158,134,126,132,150,165,172,177,172,155,147,145,142,137,146,156,163,166,169,175,182,187,193,198,201,213,241,219,156,98,74,69,84,121,160,172,169,158,151,142,132,138,147,157,164,167,170,176,182,188,194,199,202,212,240,218,155,109,90,72,56,70,123,151,148,137,124,110,98,138,147,157,164,167,170,177,184,189,195,200,204,210,236,216,151,135,132,116,91,75,86,107,103,92,80,73,67,139,148,158,164,167,170,177,184,191,196,200,204,209,233,223,161,160,162,150,134,106,82,78,75,71,66,64,62,139,148,158,165,168,171,177,184,191,195,200,204,208,228,231,169,165,179,166,137,101,79,73,71,70,66,65,62,139,149,158,164,167,170,177,184,191,195,200,204,207,221,231,171,172,208,189,132,90,73,72,72,70,66,65,64,140,149,159,165,167,171,178,185,191,196,200,205,208,217,215,164,184,221,200,128,84,72,72,71,69,66,66,66,141,150,159,165,168,173,179,186,192,197,201,206,209,213,196,173,206,224,206,132,89,77,74,70,67,67,68,68
21,145,148,155,162,168,174,177,181,186,189,194,195,198,202,204,204,205,208,207,208,210,210,210,209,210,211,211,211,147,151,158,165,172,176,180,183,188,193,195,198,202,206,207,207,213,211,212,212,212,212,211,213,214,214,213,213,148,152,161,168,173,179,183,187,191,195,197,201,205,208,214,188,167,216,214,215,214,218,221,217,218,218,218,218,150,155,163,170,176,182,186,189,193,197,201,205,208,210,220,199,109,207,220,217,220,204,191,224,221,220,220,220,153,158,166,174,179,184,189,192,196,199,203,207,212,211,223,211,117,182,229,219,223,209,126,198,231,223,223,222,156,159,168,177,182,187,190,194,199,203,206,210,215,215,225,214,127,156,234,219,225,219,135,162,238,224,225,225,157,163,171,179,184,188,193,198,201,206,209,213,217,219,223,217,147,141,231,224,228,217,143,142,237,225,226,227,159,165,173,180,186,190,195,199,203,207,212,216,219,220,223,232,183,133,219,229,229,219,152,133,236,229,230,229,161,166,175,183,189,193,197,201,205,209,213,217,220,223,222,238,196,133,198,237,229,227,176,129,233,234,233,232,162,168,178,185,190,195,198,203,207,211,215,219,221,225,227,244,204,141,173,242,230,229,187,125,225,237,235,236,163,170,179,187,191,196,200,205,208,213,217,221,222,223,216,251,229,170,160,241,234,227,194,125,217,241,236,237,164,172,181,187,193,197,201,206,211,215,218,222,225,219,199,206,249,202,157,234,236,239,215,134,213,243,237,237,165,172,182,188,194,199,204,208,212,217,221,223,238,255,243,198,190,186,149,226,241,239,220,135,211,246,237,238,166,174,184,190,196,201,206,210,214,218,221,225,231,225,237,230,182,130,114,200,239,223,212,133,208,249,239,240,167,174,184,191,198,203,205,210,215,220,223,227,227,203,180,168,196,157,146,143,164,192,195,130,202,254,240,243,170,177,186,192,199,204,208,212,216,221,225,227,235,245,218,154,150,202,206,193,145,125,169,123,192,255,241,243,170,180,188,194,199,204,210,215,217,222,226,232,220,208,228,180,99,147,217,212,165,99,123,109,192,255,244,245,171,181,189,195,200,204,209,214,218,223,227,232,221,133,174,195,118,71,141,199,180,139,97,88,183,255,243,246,171,182,191,196,201,205,210,214,219,224,228,233,218,183,157,180,160,120,50,154,210,172,118,77,153,255,245,248,171,180,189,196,201,206,211,215,219,224,229,232,237,219,149,121,160,140,72,105,213,202,154,98,123,255,247,249,169,179,188,194,199,204,210,214,219,224,228,230,246,211,175,144,109,99,111,150,210,226,176,136,109,240,252,250,172,181,189,195,200,204,210,216,220,224,230,230,249,239,210,144,117,127,156,234,233,210,175,142,106,232,253,249,173,181,190,196,202,206,212,217,220,225,231,230,248,241,191,136,143,155,186,255,235,199,153,125,103,234,253,249,173,181,190,196,202,208,213,217,220,226,228,230,243,239,186,169,161,146,206,255,223,187,145,111,104,238,253,250,172,181,190,195,201,207,211,215,220,225,227,229,238,233,206,177,152,148,214,255,218,179,138,111,108,242,252,251,175,185,193,201,207,212,217,221,226,231,234,236,237,229,211,163,162,161,208,247,214,178,132,106,113,244,250,250,143,147,155,163,166,172,179,187,195,202,207,210,217,225,212,167,190,165,193,232,193,159,124,100,125,255,254,255,111,113,112,112,112,114,116,120,122,123,125,125,133,211,214,182,193,173,178,221,171,138,114,102,116,180,184,189
6,172,174,176,178,179,182,182,181,181,181,182,182,182,181,181,180,181,180,180,179,177,177,177,177,175,175,173,173,173,175,178,179,181,182,183,183,184,184,184,183,184,183,183,182,182,181,180,179,178,179,179,178,179,177,174,173,174,176,178,179,182,185,185,185,187,185,185,185,185,185,183,182,182,181,180,181,180,180,180,179,178,178,175,173,173,175,179,181,183,185,185,185,186,185,185,185,185,185,185,184,183,182,182,181,180,180,181,179,178,179,177,175,174,177,179,181,183,184,185,186,186,186,187,187,186,184,183,183,182,183,185,184,184,186,183,182,181,179,178,177,175,178,179,181,185,184,186,187,186,186,183,179,172,163,144,145,153,159,157,158,160,156,168,171,178,180,179,178,175,179,181,182,184,184,182,187,187,189,186,181,177,165,144,145,158,165,153,155,138,131,179,162,141,184,178,179,176,179,180,186,189,179,183,194,196,197,191,182,174,160,145,143,154,163,158,155,152,138,169,151,123,184,179,179,178,180,181,209,197,179,181,182,179,170,162,157,147,144,129,105,100,117,123,128,133,129,133,134,165,184,180,179,179,181,183,218,195,176,169,162,168,173,173,166,152,149,154,121,102,168,166,169,169,173,175,181,186,182,181,179,180,180,187,200,171,166,170,176,184,190,183,171,163,158,158,131,97,190,193,192,191,190,188,187,185,184,182,180,180,178,206,198,164,163,168,176,186,190,187,178,168,155,139,114,84,156,195,187,188,187,186,186,187,185,183,181,180,181,208,182,165,162,164,168,173,176,177,170,156,148,133,92,84,123,196,187,189,189,188,187,187,187,185,183,181,184,194,166,178,175,173,173,177,185,186,170,147,149,151,92,81,112,192,190,190,190,189,188,188,186,184,183,180,183,192,193,192,180,184,184,192,196,180,164,153,154,141,99,86,107,187,193,193,192,189,188,187,186,185,184,182,180,195,221,200,177,180,181,184,182,175,165,157,142,116,99,95,111,192,192,193,192,190,188,187,187,186,185,179,178,199,217,196,177,174,163,150,147,150,146,140,127,91,89,102,165,197,192,191,191,191,188,186,186,184,183,180,178,198,203,194,181,165,148,142,158,168,160,158,163,105,72,112,190,193,191,189,189,189,188,187,185,183,181,182,180,198,194,206,187,165,166,185,193,174,157,149,156,115,83,136,196,191,191,190,189,188,188,187,185,183,181,182,180,199,192,201,185,168,170,179,179,163,151,142,129,107,96,154,200,190,191,190,189,188,188,187,186,185,183,180,174,194,196,189,177,171,169,173,167,157,141,124,105,92,101,172,194,191,192,192,190,189,188,187,186,185,184,183,174,186,195,194,177,168,162,155,138,123,105,93,104,140,168,193,190,192,193,191,192,191,190,189,188,187,178,170,164,181,193,180,165,153,142,126,105,94,77,96,160,188,186,183,183,183,183,182,183,183,183,183,182,173,213,101,105,175,182,158,148,142,133,105,93,97,96,103,106,105,103,104,104,104,104,102,102,103,103,105,95,199,255,99,102,171,172,147,150,144,122,99,95,103,108,95,91,91,90,90,90,91,88,87,87,87,87,74,183,255,252,99,109,174,162,146,159,141,110,97,94,108,104,96,97,97,97,95,99,106,100,101,104,103,80,184,255,255,252,94,119,181,159,150,158,138,110,95,95,114,101,97,97,96,95,94,96,98,96,96,101,82,166,255,255,253,245,94,132,184,156,145,149,125,102,93,102,113,98,98,97,96,95,94,94,95,95,99,87,136,255,255,255,244,240
6,138,140,143,144,146,150,151,153,155,158,158,159,161,160,161,164,164,164,163,162,163,164,165,166,166,166,166,165,140,142,143,144,146,150,152,154,156,157,158,159,161,160,163,165,164,164,165,164,164,165,165,165,166,166,166,165,141,141,143,145,148,151,152,153,155,156,158,159,162,162,162,163,163,162,164,165,163,164,164,164,166,166,166,165,141,142,144,147,150,151,152,156,157,158,159,161,163,165,165,164,166,167,166,166,164,164,167,165,166,170,167,165,142,144,146,149,151,152,154,158,158,159,162,163,163,162,159,150,135,139,150,143,142,138,121,150,157,152,168,167,144,145,147,151,152,154,156,158,159,159,161,164,164,163,159,143,115,120,134,136,129,124,110,121,141,113,167,168,144,145,146,151,153,155,157,157,158,160,168,173,169,165,149,127,114,101,98,103,97,97,97,94,97,130,173,168,145,148,149,151,154,156,159,162,163,168,165,155,145,127,106,87,85,97,101,107,122,130,137,144,155,172,169,170,146,149,151,153,153,159,168,157,146,142,141,135,134,126,115,95,106,139,155,176,176,179,179,176,174,172,172,171,149,151,151,154,152,181,178,140,120,121,126,132,140,141,137,132,124,117,101,163,177,173,174,173,174,174,173,173,149,151,152,155,154,194,167,136,135,127,123,116,117,121,121,116,108,107,76,147,183,174,176,176,176,175,175,175,150,151,155,158,157,194,160,152,162,140,125,126,123,130,133,125,109,98,87,163,181,177,178,177,177,177,177,176,151,151,155,156,162,194,179,190,174,140,120,120,121,124,126,122,119,114,96,131,188,178,179,178,179,179,178,177,151,152,157,156,169,195,191,188,171,156,146,126,107,94,104,109,104,99,92,73,148,186,179,180,179,180,180,179,152,153,158,155,178,195,189,183,183,181,164,136,118,114,124,120,103,91,91,59,97,191,180,181,180,181,181,180,153,155,159,155,186,198,192,190,191,177,163,146,126,118,123,118,110,99,103,69,123,190,180,181,181,183,183,181,153,155,157,157,191,196,191,192,189,178,165,140,126,125,121,119,113,108,94,114,182,183,182,182,181,184,183,182,154,156,157,161,197,192,191,189,188,173,148,136,128,126,114,109,112,108,89,164,189,181,183,182,182,184,183,182,156,157,158,165,200,191,190,188,182,149,140,141,130,110,99,62,87,96,101,183,183,183,184,185,185,186,185,183,156,159,157,171,195,187,187,185,168,137,132,139,127,91,60,46,70,83,146,190,181,183,185,186,186,185,184,182,157,159,155,177,190,183,184,175,150,129,138,135,111,95,63,70,108,146,186,185,186,186,186,186,186,185,186,184,158,160,157,183,186,177,178,164,143,130,145,132,109,92,70,94,191,189,184,186,187,186,187,187,186,186,187,185,158,162,158,184,181,180,171,156,140,145,152,127,108,91,70,122,197,183,187,187,188,188,188,187,186,187,187,186,158,161,156,179,181,171,156,152,138,150,144,119,102,87,79,168,192,188,188,189,189,188,187,188,188,189,187,186,158,161,157,172,173,166,155,141,138,150,131,112,99,77,127,194,186,190,188,189,189,189,189,189,189,187,186,186,159,161,152,179,179,163,156,134,142,144,124,110,86,104,189,190,189,190,190,190,190,190,190,189,189,188,188,187,159,155,154,183,173,160,150,135,142,134,114,102,79,156,197,189,192,192,192,190,189,191,191,189,189,189,189,188,161,153,158,176,165,146,137,138,133,124,106,92,83,174,192,191,192,192,193,192,192,193,191,191,189,189,189,189
3,117,124,129,132,135,139,144,149,151,152,154,155,156,156,157,158,159,158,159,159,159,159,159,160,160,159,158,157,119,127,133,136,139,143,148,152,154,156,158,159,160,160,161,164,164,133,155,163,162,162,163,163,162,162,161,160,125,132,137,142,145,149,154,157,159,162,163,164,165,166,166,171,170,109,135,169,168,169,168,167,166,166,165,164,130,136,141,146,150,154,158,161,164,166,168,169,170,171,172,175,172,104,114,174,173,173,173,171,170,170,168,167,134,140,145,150,154,158,162,166,169,171,172,173,175,176,177,179,177,105,101,174,178,178,177,176,175,173,172,172,137,145,150,153,158,162,167,171,173,176,177,178,179,181,181,183,187,118,97,174,182,182,182,181,180,179,177,176,140,148,154,157,162,166,171,174,177,180,181,182,184,185,185,180,189,122,90,168,186,186,186,185,184,183,181,179,144,151,156,160,165,169,174,179,181,183,185,186,185,191,203,168,138,117,101,165,190,190,190,189,188,187,184,182,147,154,160,164,169,173,178,183,186,187,190,193,178,169,213,190,130,159,117,157,195,193,193,192,191,190,188,187,150,157,162,166,172,176,181,186,189,188,182,205,201,167,188,195,151,168,100,126,197,196,195,195,193,193,192,191,153,159,165,169,175,179,184,188,192,199,184,173,200,181,165,187,146,166,120,98,176,201,199,198,197,196,195,194,155,162,167,172,178,182,186,190,195,207,206,168,147,184,151,178,145,153,153,110,130,203,202,201,200,199,197,197,157,164,169,175,180,184,189,193,197,182,171,153,103,157,129,167,175,127,157,122,113,201,205,204,202,202,201,200,159,167,172,176,181,186,191,196,200,176,140,146,97,136,125,113,114,79,140,126,113,202,208,207,205,204,204,202,162,169,174,179,184,188,193,196,203,198,160,136,110,118,156,104,50,72,161,134,109,200,209,209,207,206,206,206,163,170,175,181,186,190,194,198,205,198,146,105,87,77,122,96,70,119,184,137,98,187,212,210,209,208,207,207,165,172,177,182,187,192,196,200,206,202,164,123,96,75,82,111,144,170,172,127,96,183,215,213,212,211,209,208,167,173,179,184,189,194,198,201,208,213,178,132,105,102,116,178,213,197,153,110,102,195,216,215,214,213,212,211,168,174,180,185,190,196,200,202,208,215,188,147,126,124,138,207,220,184,142,98,112,209,217,216,216,215,213,212,168,175,181,186,192,196,200,203,207,213,196,162,136,127,147,209,210,169,130,93,132,218,218,218,217,216,215,214,168,174,181,187,191,195,199,204,207,209,195,166,144,140,146,203,200,158,117,90,158,221,220,219,219,218,216,215,169,175,181,187,192,196,199,203,206,205,195,172,158,150,139,192,184,145,106,92,182,222,219,218,219,218,216,215,170,177,182,188,193,197,200,204,207,207,196,178,160,151,129,167,165,129,99,105,201,221,219,219,218,217,216,214,171,177,183,188,193,198,201,204,207,207,205,182,160,141,114,139,137,108,95,146,218,221,220,220,219,218,207,185,168,177,182,187,194,199,202,205,208,207,213,183,158,131,112,123,114,99,110,195,218,219,214,214,209,202,178,149,124,129,134,140,147,152,156,163,168,199,212,185,163,134,122,118,107,92,145,212,194,186,196,170,177,186,145,139,100,101,102,104,105,104,105,108,114,188,204,181,165,152,129,112,97,93,185,227,193,169,173,169,150,168,121,148,102,103,106,107,106,109,113,112,124,197,196,167,158,156,122,103,88,114,179,214,195,174,148,171,150,142,116,160
0,187,188,190,192,193,195,198,198,200,201,201,201,202,204,206,204,206,206,206,207,207,207,206,207,207,206,207,207,188,190,192,194,196,197,199,200,201,202,203,203,204,206,207,207,207,207,207,208,208,208,208,208,208,208,208,208,188,190,193,196,198,199,201,202,203,205,205,206,207,208,208,207,209,209,208,208,209,210,210,210,210,209,209,210,188,191,194,197,198,199,202,203,205,207,207,208,209,209,209,210,211,210,211,209,211,213,208,211,212,212,212,213,191,194,196,198,199,201,203,205,206,208,212,211,209,218,220,206,204,218,227,207,208,228,192,206,215,214,214,213,194,196,198,200,201,204,205,206,207,221,236,207,189,233,228,192,173,223,232,200,182,225,191,184,216,214,214,214,194,197,200,202,203,205,209,212,209,244,241,212,166,204,225,201,161,184,228,204,162,200,205,170,205,214,215,217,197,198,200,203,205,208,234,225,198,240,238,221,178,192,225,210,168,182,230,206,151,162,211,181,171,198,217,217,197,199,201,204,202,225,250,229,196,221,241,222,190,190,226,215,168,191,228,195,148,117,196,200,179,158,197,220,197,200,203,204,204,242,253,238,208,205,241,221,191,184,233,219,157,189,219,174,131,83,170,214,196,151,180,224,199,201,204,204,214,247,250,247,218,191,237,220,186,180,235,213,147,153,186,156,107,97,199,225,203,155,193,224,200,202,204,203,226,239,234,245,215,178,221,214,178,167,218,197,143,119,159,145,90,143,226,225,195,156,214,225,202,204,206,206,242,243,225,223,182,144,189,194,166,140,173,167,132,112,163,149,127,205,229,212,168,165,224,225,202,205,207,220,251,235,201,202,157,123,165,176,157,115,139,150,115,141,202,208,210,214,210,187,153,183,227,227,204,206,204,231,253,238,205,188,166,134,153,181,160,100,122,157,179,225,237,229,215,193,179,163,145,195,227,227,208,209,206,226,255,247,224,194,171,149,158,195,161,106,149,223,247,244,237,224,203,178,158,148,139,210,228,229,209,209,210,227,255,251,236,215,193,175,181,195,184,198,241,254,250,238,227,210,186,163,148,138,174,228,229,230,208,211,210,231,255,254,243,230,215,194,198,215,235,253,255,251,243,229,209,190,168,152,140,162,222,230,230,230,208,211,210,231,255,254,250,240,230,214,211,227,243,254,254,246,236,219,195,170,152,140,144,212,231,232,232,231,209,212,211,229,255,254,254,246,235,224,218,225,240,251,246,236,226,204,177,154,140,135,191,233,232,232,232,232,208,212,215,226,253,255,253,245,230,217,215,218,231,239,232,217,206,187,159,143,129,174,231,234,234,234,234,233,210,214,216,219,249,255,250,238,224,210,211,216,224,225,211,196,179,162,142,126,161,229,235,235,235,235,234,234,211,215,216,214,240,251,239,227,214,202,209,216,218,212,195,176,154,134,114,142,222,237,236,236,236,236,234,235,192,185,183,172,175,178,166,156,150,145,154,157,153,147,136,130,120,108,120,215,237,235,236,236,237,237,236,236,152,144,143,136,126,124,119,108,100,88,83,75,69,70,65,64,67,71,99,169,226,238,237,237,238,238,237,236,142,143,140,135,128,123,116,104,96,86,80,69,63,61,58,55,55,58,59,62,169,242,238,238,238,238,237,237,149,142,142,138,131,120,114,104,92,85,77,68,62,59,56,53,54,54,56,57,188,241,238,238,238,238,239,240,162,145,143,137,131,120,113,102,89,85,76,68,62,59,56,52,52,53,52,97,232,239,238,238,239,239,240,241
18,187,190,194,197,200,203,205,207,210,211,214,214,214,214,215,217,218,219,219,219,219,220,220,220,220,219,219,218,190,193,196,199,202,205,208,210,212,213,217,216,217,218,217,220,221,221,223,222,220,221,222,222,222,222,221,220,192,195,199,202,204,207,211,213,216,217,219,219,220,220,221,222,223,222,222,223,222,224,224,224,225,226,225,224,195,198,201,203,206,210,214,216,218,219,220,221,223,224,224,225,225,226,228,226,225,227,227,227,228,228,227,226,196,199,203,206,210,213,216,218,220,221,224,224,225,228,228,228,225,225,211,225,231,233,233,228,229,229,229,228,197,201,205,209,211,214,218,220,222,224,226,226,227,230,228,225,247,215,166,159,229,214,212,236,233,231,230,231,200,203,207,211,212,215,220,220,225,228,227,230,232,229,199,168,221,189,130,126,132,181,155,181,243,232,234,234,202,206,210,212,215,218,220,224,226,228,230,223,224,255,193,154,191,182,133,127,104,174,180,118,209,244,235,235,204,209,212,215,219,221,224,227,228,228,240,207,156,207,222,184,197,206,185,182,162,148,161,119,167,252,235,237,204,209,214,219,220,222,226,228,229,232,255,226,186,142,208,204,163,211,222,220,216,174,118,100,165,254,239,242,207,210,215,219,221,224,227,231,231,239,236,247,220,161,147,203,145,163,220,217,220,180,122,84,179,254,241,244,209,212,217,219,222,226,228,232,231,243,198,216,213,182,117,155,164,137,182,178,208,187,136,84,189,255,242,244,210,214,219,222,225,227,230,233,233,247,179,157,195,151,99,119,151,113,122,166,220,207,153,90,210,250,242,245,212,215,219,223,227,228,232,235,237,250,221,180,177,124,88,110,130,97,98,117,234,219,169,101,217,255,243,244,214,218,220,224,227,230,234,237,240,249,215,167,160,125,86,99,130,81,80,155,239,237,188,115,145,255,245,246,215,219,221,224,227,231,234,236,240,248,229,187,153,126,85,102,131,80,166,247,240,230,184,137,103,238,255,250,216,220,222,226,228,232,236,238,238,254,244,206,163,130,113,102,102,170,255,255,248,213,166,135,115,240,254,251,219,221,224,227,230,234,237,239,239,254,245,209,172,149,137,130,161,246,255,249,230,201,146,117,130,255,251,251,220,222,224,229,232,235,239,242,241,251,248,220,192,176,157,143,195,254,255,240,200,175,139,101,159,255,250,253,219,223,226,228,232,236,240,243,241,249,247,226,200,175,162,148,194,253,255,228,191,159,130,100,190,255,251,254,220,224,227,230,233,237,240,244,243,243,244,228,200,177,187,156,179,252,255,213,175,144,122,102,221,255,253,255,221,224,227,233,235,238,242,243,246,241,239,234,210,196,199,163,159,250,235,195,156,131,114,117,247,255,255,255,221,225,229,232,235,240,241,241,244,242,235,230,217,195,200,173,151,239,217,176,144,123,106,142,255,255,255,255,222,225,227,231,234,236,239,241,244,246,240,232,221,198,192,172,144,223,202,155,134,122,98,176,255,255,255,255,220,223,226,230,235,235,238,242,244,245,243,243,220,192,177,151,131,200,174,134,126,120,105,222,255,255,255,255,220,222,228,230,235,237,239,242,245,235,248,241,205,179,151,126,140,183,152,137,130,110,154,255,254,255,255,255,221,224,228,232,236,238,241,244,243,236,255,236,207,187,157,152,150,179,142,141,126,111,225,255,255,255,255,255,221,225,229,233,237,238,242,245,241,241,255,245,221,203,166,153,166,164,143,139,102,171,255,255,255,255,255,255
21,132,134,140,146,151,155,158,161,165,167,171,172,175,178,179,179,180,182,182,182,184,184,184,183,184,185,185,185,133,137,143,148,153,157,160,163,167,170,172,175,177,181,182,181,186,185,186,186,186,186,185,186,188,188,187,186,134,138,145,150,155,160,162,166,169,172,174,177,180,182,187,167,149,189,187,188,188,190,193,190,190,191,190,191,136,140,147,152,157,162,165,167,171,174,177,180,183,184,192,175,103,182,192,190,192,179,169,195,193,192,192,192,139,142,149,155,159,163,167,170,173,175,179,182,186,185,194,185,110,162,199,191,194,183,117,175,201,195,195,194,141,143,150,158,161,165,168,172,175,178,181,184,188,188,196,188,117,141,203,191,196,192,124,146,206,196,196,196,142,146,153,159,163,167,170,174,177,181,184,187,189,191,195,190,134,128,201,195,198,190,131,130,206,196,197,197,143,148,154,160,165,168,172,175,178,182,186,189,191,192,194,202,162,122,191,200,199,192,138,122,205,200,200,200,145,149,156,163,167,171,174,177,180,183,186,190,193,194,194,207,173,122,174,206,199,198,157,119,202,203,203,202,146,150,158,164,168,172,175,179,182,185,188,191,193,196,198,212,179,129,154,210,200,199,165,116,196,206,204,205,146,152,160,166,169,173,176,180,183,186,190,193,194,194,189,217,199,152,144,209,204,198,171,116,190,209,205,206,147,153,161,166,170,174,177,181,185,188,191,194,196,191,175,181,216,178,142,203,205,208,188,123,187,211,206,206,148,154,162,167,171,176,179,183,186,190,193,194,207,223,211,175,168,165,136,197,209,207,192,124,185,213,206,207,149,156,163,168,173,177,181,184,187,190,193,196,201,196,206,200,162,120,107,176,207,195,186,122,182,215,207,208,150,155,163,168,174,179,180,184,188,192,195,198,198,179,160,150,173,141,133,130,148,170,172,120,178,219,208,210,152,158,165,170,175,179,183,186,189,193,196,198,204,212,191,139,136,178,181,170,132,116,151,114,170,221,209,211,152,160,166,171,175,180,184,188,190,194,197,202,192,182,199,160,95,134,190,185,148,95,114,103,169,221,211,212,153,161,167,172,176,179,183,187,190,195,198,202,193,123,155,172,110,73,129,176,160,127,94,86,162,222,211,213,153,161,169,173,177,180,184,187,191,195,199,203,190,162,142,160,144,112,55,139,184,154,110,77,139,225,212,215,153,160,167,173,177,181,185,188,191,196,199,202,206,191,136,113,144,128,73,100,186,178,139,94,114,222,214,215,152,159,166,171,175,179,184,187,192,195,199,200,213,185,156,131,103,95,105,136,184,197,157,124,103,208,218,216,154,161,167,172,176,179,184,189,192,196,200,200,215,208,184,131,109,117,141,203,203,184,156,129,101,202,219,215,155,161,168,173,178,181,186,189,192,196,201,201,214,209,169,125,131,140,165,225,204,175,139,116,98,204,219,215,154,161,168,173,178,182,186,190,192,197,199,200,210,208,165,151,145,133,181,227,195,166,132,105,99,207,219,216,154,161,168,172,177,182,185,188,192,196,198,200,206,203,181,158,138,134,187,223,191,159,127,105,102,210,218,217,156,164,170,177,181,186,189,193,197,201,203,205,206,199,185,146,146,144,182,214,187,158,121,100,106,212,216,216,130,134,140,146,149,154,159,166,172,178,181,184,190,196,186,150,168,148,170,201,170,144,115,96,116,223,219,221,105,106,105,105,106,107,109,112,114,114,116,116,123,185,187,162,171,154,158,193,153,126,107,97,108,160,163,168
24,150,152,155,156,157,157,159,158,159,159,158,159,158,158,158,156,155,154,153,153,152,150,149,148,147,145,144,144,151,154,157,156,158,159,159,161,161,160,160,160,160,158,158,158,157,156,157,157,154,152,152,151,151,148,147,145,152,155,157,159,160,161,161,163,164,162,163,164,164,163,161,160,159,159,157,156,156,154,153,153,152,151,149,148,154,155,158,160,162,162,163,164,164,163,164,164,164,164,163,162,162,160,157,158,157,157,156,155,153,152,151,150,155,156,159,160,161,159,164,167,166,165,165,165,166,165,163,162,162,160,160,160,158,158,157,156,155,154,152,151,157,158,161,159,175,145,119,172,166,167,167,166,166,166,165,164,164,162,161,160,161,160,159,157,156,156,154,153,158,159,163,160,184,122,100,175,166,167,167,168,167,167,166,165,165,164,162,161,161,160,160,158,157,156,155,155,158,160,163,164,180,98,116,176,166,168,169,169,171,167,166,165,165,164,163,163,163,162,160,159,159,158,157,156,160,162,163,170,177,96,127,177,169,170,169,167,163,171,169,166,167,166,165,165,164,163,161,159,159,159,158,157,163,164,165,174,177,94,132,185,170,170,177,174,140,110,168,171,166,167,166,166,167,166,167,164,159,159,159,158,164,165,165,176,162,114,137,149,175,134,135,177,158,107,90,169,170,168,169,166,156,142,133,156,165,161,161,160,163,168,167,180,174,180,172,141,191,140,93,165,170,120,53,114,178,168,165,145,104,88,72,105,171,163,163,160,164,169,168,180,178,201,174,165,191,156,89,158,164,109,54,75,171,167,159,115,74,76,105,136,167,164,163,161,167,170,170,181,172,208,179,177,199,150,72,116,126,82,35,48,147,168,140,91,72,148,171,168,165,165,164,163,168,173,170,185,203,205,170,180,207,137,78,22,78,115,87,98,143,144,105,74,132,180,168,168,168,166,165,164,168,173,172,191,197,185,149,134,170,108,61,58,153,172,157,146,142,111,73,101,177,170,172,171,170,168,166,164,169,171,178,188,162,165,138,95,91,95,142,193,188,167,151,131,120,102,75,161,176,172,174,172,172,169,167,166,171,171,183,204,174,159,144,125,88,193,210,194,184,164,135,116,102,88,120,183,173,175,172,172,172,169,168,168,172,169,190,210,185,160,142,153,199,217,197,190,178,150,122,99,96,89,169,181,176,175,174,173,172,170,168,169,173,170,200,214,190,176,176,205,219,209,200,184,163,135,102,98,78,118,187,178,179,176,175,174,173,172,171,170,173,171,205,216,195,185,202,218,217,204,195,171,144,113,98,88,87,175,181,179,180,177,176,175,174,174,173,171,175,172,205,222,200,187,207,215,200,180,172,151,120,102,89,83,162,187,181,181,180,179,178,177,175,175,173,171,175,172,199,226,203,184,195,199,188,162,148,128,104,93,87,162,190,182,183,182,181,180,178,178,176,175,174,172,176,176,190,206,188,184,199,202,189,163,147,119,93,69,151,194,185,186,184,182,182,182,181,179,177,177,174,173,176,178,183,190,182,192,197,189,185,156,134,107,63,96,193,187,188,186,186,183,183,182,181,179,178,178,175,174,176,179,181,196,206,197,191,178,180,151,124,92,54,147,195,188,188,187,187,185,183,183,182,181,179,177,177,176,176,178,181,210,208,182,189,177,166,144,121,80,66,177,193,190,189,189,189,186,184,184,182,182,180,180,178,175,174,176,179,217,206,170,195,171,154,144,115,83,69,180,191,188,188,189,187,186,183,183,182,181,180,179,177,175
5,115,120,125,129,131,135,137,139,141,145,146,147,147,152,153,155,156,157,161,161,161,163,165,163,164,165,166,165,116,122,126,130,133,137,138,140,143,146,147,148,152,154,155,156,157,160,162,162,165,165,165,164,165,166,167,166,117,123,127,131,134,138,140,142,144,147,150,150,124,153,156,157,159,162,163,163,155,164,165,167,167,167,167,166,118,124,129,132,136,140,138,145,147,147,149,166,94,137,160,158,162,163,161,173,118,140,170,166,167,167,168,167,120,125,129,132,137,141,157,115,141,151,151,173,96,132,165,159,162,162,165,176,97,133,174,166,169,170,170,169,121,126,130,134,140,136,177,125,110,157,153,181,107,134,166,160,163,163,175,137,86,164,170,171,172,172,172,170,122,127,132,137,141,137,161,157,96,154,158,180,115,131,167,161,163,174,171,91,118,179,169,173,174,173,172,171,124,129,133,138,144,142,153,189,118,139,167,163,96,129,170,162,166,173,135,93,168,174,172,174,174,173,173,173,124,130,134,138,144,145,148,205,144,118,170,150,103,127,172,159,158,134,83,137,179,171,173,174,176,175,175,174,126,132,136,140,144,146,144,192,177,109,162,144,120,122,169,151,147,81,107,179,174,175,176,176,178,178,177,176,126,132,138,141,146,147,146,167,202,158,134,130,122,109,143,146,133,85,166,176,174,175,176,177,178,177,178,178,127,133,138,142,146,147,149,152,196,197,148,102,112,90,104,134,103,116,181,175,178,178,177,178,179,179,179,176,127,133,138,142,146,146,150,151,172,209,179,126,91,86,90,96,86,157,179,177,178,175,178,180,181,182,180,180,127,134,138,143,146,147,150,154,156,204,189,139,93,77,81,78,90,178,171,167,164,162,167,171,168,167,173,171,128,134,140,145,147,148,152,156,152,197,194,138,91,72,72,75,90,132,155,156,147,162,180,174,167,166,155,119,130,136,140,144,148,150,153,157,156,208,191,142,99,68,68,73,94,106,132,134,103,106,129,122,126,149,136,92,130,137,140,145,149,150,155,154,165,220,179,136,97,72,68,75,90,95,86,91,105,146,152,152,152,159,122,110,129,135,141,147,149,150,156,150,187,219,167,131,94,71,69,73,76,80,117,152,179,190,186,166,164,123,113,177,130,135,142,146,149,152,156,152,207,207,160,126,88,70,72,76,61,126,188,191,184,171,149,152,143,93,180,187,130,136,142,146,149,152,154,166,221,199,155,111,87,68,69,81,95,120,128,155,154,149,161,156,103,122,193,180,131,137,142,147,149,153,150,188,220,187,143,111,91,66,72,90,112,126,122,117,144,156,150,117,115,175,187,184,131,137,144,147,149,152,153,209,212,175,134,120,96,64,84,118,135,141,130,124,145,123,112,150,188,189,186,185,132,137,144,147,150,148,169,220,205,170,135,123,97,65,94,135,137,140,135,108,96,121,175,192,185,186,186,185,133,138,143,147,151,147,199,216,195,166,137,118,97,68,104,141,129,138,119,84,134,188,188,184,186,186,186,185,133,138,144,149,145,169,218,200,189,162,120,105,86,69,114,135,122,121,103,159,191,184,186,186,186,187,187,185,133,139,144,149,146,199,206,187,177,147,104,97,77,80,111,115,115,104,167,190,184,186,187,186,186,187,187,185,133,139,145,144,174,203,189,179,175,146,92,87,80,88,92,99,120,166,189,183,186,186,186,187,187,187,187,187,133,139,144,147,205,193,183,171,183,139,77,90,93,79,80,131,181,186,184,186,186,186,186,188,188,187,187,187
4,117,120,123,124,128,129,131,136,138,140,145,144,144,148,148,147,150,151,148,150,150,152,152,151,149,149,149,149,121,124,126,129,131,133,135,138,139,141,147,146,148,148,148,158,144,144,154,152,152,153,153,152,153,152,151,151,125,128,130,133,136,136,138,141,143,144,144,154,141,162,205,192,121,69,142,157,156,158,155,156,155,155,154,153,128,131,133,136,138,140,141,147,151,154,183,182,116,88,150,171,108,51,58,95,93,142,162,157,158,158,156,154,130,133,137,139,143,143,151,147,117,183,206,186,127,60,34,142,103,49,26,79,56,64,168,158,161,160,159,158,134,136,139,143,144,146,199,182,114,122,125,186,132,79,16,85,129,80,28,99,98,53,160,162,162,161,160,161,137,139,143,147,141,180,188,178,174,142,74,134,161,103,0,88,166,113,70,89,112,81,148,169,164,165,163,164,141,144,146,147,152,201,167,119,124,98,37,59,166,94,2,134,161,105,62,53,73,68,100,177,165,167,166,166,142,147,151,151,155,207,192,148,126,118,106,50,101,67,32,93,120,86,68,69,64,59,74,148,176,167,167,167,145,149,152,155,152,192,189,170,142,116,106,73,61,85,77,88,117,96,96,75,43,84,88,85,179,170,171,168,147,152,154,159,156,185,189,161,129,98,77,65,72,95,98,117,129,118,108,78,82,127,120,70,131,183,171,173,149,154,156,162,158,193,194,162,135,97,74,65,76,88,107,126,145,149,170,187,172,153,132,108,74,170,176,175,152,156,159,164,160,195,204,171,141,103,75,71,79,93,119,158,149,180,192,182,169,148,114,86,45,124,189,174,153,160,162,165,162,190,209,175,152,120,82,71,74,95,139,159,151,179,175,167,151,129,102,76,49,75,187,179,155,161,163,169,167,191,212,183,163,131,97,78,79,97,148,162,173,182,184,167,142,122,100,72,54,60,179,183,157,164,166,171,169,193,215,189,171,140,109,92,92,94,140,170,184,186,180,169,140,115,88,67,45,81,193,183,160,166,168,172,170,189,214,197,180,148,118,112,106,98,135,174,186,185,182,168,133,102,75,63,39,141,198,185,162,166,170,174,174,184,209,203,192,159,132,125,118,107,144,169,184,187,183,161,126,92,72,55,55,188,191,190,164,168,172,175,175,181,202,207,199,171,145,135,126,112,151,169,174,186,173,146,114,87,72,39,102,204,189,192,167,172,174,177,182,177,194,207,199,176,156,144,130,120,143,176,173,173,155,126,102,81,69,39,162,201,192,194,171,176,175,179,184,182,182,200,192,177,158,146,135,119,117,164,169,152,134,108,90,79,56,68,202,194,196,196,173,176,179,182,184,188,174,195,196,181,157,147,139,119,100,148,167,150,124,97,76,81,40,138,208,193,197,197,176,178,182,184,187,193,176,196,204,184,159,147,142,123,102,137,157,140,113,85,72,44,89,205,197,199,198,197,178,181,183,186,189,194,179,199,203,175,149,142,142,119,99,128,142,125,90,75,44,81,197,202,199,199,197,200,179,182,187,189,191,194,186,203,198,165,145,148,145,126,102,117,122,108,76,55,59,192,206,198,201,208,212,199,180,184,187,189,192,197,179,199,205,169,158,162,153,140,108,103,103,97,71,36,147,211,197,209,210,177,117,67,183,187,190,191,193,201,182,199,212,175,171,181,155,143,107,89,90,94,55,55,194,200,213,170,82,32,16,13,185,188,190,192,195,204,142,195,217,194,193,191,157,142,106,86,90,96,42,90,211,207,147,44,25,5,7,2
4,118,121,123,126,128,131,134,135,135,138,138,139,140,141,142,141,141,141,140,138,140,139,138,139,138,137,136,136,119,122,123,128,129,132,135,136,137,138,140,141,140,144,143,141,142,143,142,140,141,139,138,139,140,139,139,137,120,123,126,128,130,133,134,137,138,139,142,142,142,142,145,145,143,143,145,143,142,141,141,140,141,140,139,137,121,125,127,130,132,135,136,138,141,140,141,143,140,152,140,129,146,147,134,145,145,143,143,143,140,139,139,139,123,126,128,131,134,136,138,139,140,140,143,137,165,170,137,98,142,158,112,106,147,147,145,144,143,141,140,140,123,127,131,132,134,136,139,142,136,174,176,135,146,185,137,104,161,156,123,61,129,130,135,148,144,142,141,141,124,129,131,134,137,137,141,140,147,207,204,156,95,180,143,99,183,161,99,89,153,98,72,139,145,141,143,143,127,130,131,136,139,138,143,136,171,196,196,141,87,173,144,106,173,147,129,153,115,87,42,94,153,142,145,144,127,129,133,137,139,142,143,140,191,166,182,123,71,145,155,157,156,179,207,167,87,51,41,81,155,145,146,145,128,132,136,138,140,144,141,151,195,154,166,137,49,124,138,162,178,190,181,160,121,58,25,96,157,145,147,146,129,133,136,138,141,144,139,182,191,147,139,140,40,109,106,75,135,159,145,163,138,79,26,111,157,147,148,147,128,133,137,139,142,141,149,200,161,126,117,82,41,112,107,42,145,110,127,181,148,97,46,135,154,149,148,148,131,135,138,141,144,138,165,203,149,111,103,85,69,87,85,55,138,74,96,209,167,117,58,140,155,149,149,149,131,135,138,141,145,136,183,206,150,109,88,69,73,78,79,92,104,113,129,197,181,127,57,97,161,150,151,150,131,135,138,142,147,138,199,202,150,106,83,70,79,77,105,131,146,181,177,164,164,121,78,63,157,153,153,152,133,136,140,144,146,144,208,201,145,100,101,85,75,67,121,156,181,177,172,152,115,125,88,69,155,153,153,152,133,136,140,143,144,153,216,196,141,117,128,97,78,116,174,190,180,176,158,128,91,97,65,98,163,152,153,152,130,134,137,143,142,157,218,194,155,156,142,101,144,192,206,194,178,168,139,109,84,67,57,139,157,154,153,152,132,135,138,144,142,162,217,203,181,171,153,113,178,201,206,202,162,148,123,101,79,49,94,162,153,156,154,153,132,135,140,145,142,161,218,210,189,164,158,125,183,207,204,188,145,127,111,95,68,54,147,159,156,157,154,154,133,137,140,145,145,151,214,208,191,166,151,142,185,202,184,164,132,110,102,82,47,102,165,155,157,156,156,154,134,137,141,144,147,148,206,198,181,171,153,147,169,179,159,136,117,111,98,60,59,155,161,158,157,156,155,153,133,136,141,144,147,148,202,183,171,176,162,148,160,169,150,125,103,103,86,46,120,166,157,158,157,155,153,152,132,137,141,145,149,147,195,172,169,174,156,133,156,172,146,111,88,90,64,89,166,161,162,159,158,158,157,156,128,131,134,137,142,138,191,182,175,164,152,131,145,170,130,90,79,75,65,137,149,146,147,145,144,144,145,138,71,71,71,70,74,64,184,199,186,170,155,136,133,164,119,82,73,63,55,63,63,61,61,59,60,63,52,70,57,59,59,58,64,47,170,215,191,175,166,141,118,160,127,80,62,56,54,51,50,51,49,49,50,40,88,171,66,66,67,68,73,53,153,215,188,168,164,142,107,152,128,75,59,52,56,59,57,56,57,58,46,102,191,181
15,91,100,110,119,125,126,131,139,146,151,156,159,164,166,170,172,176,179,181,183,185,187,188,188,188,189,191,191,90,102,112,121,126,128,133,141,147,153,157,161,165,169,172,175,178,180,183,185,187,189,189,189,190,193,193,192,93,105,113,122,127,128,135,143,148,153,158,164,166,171,173,177,180,183,185,187,189,190,191,193,194,195,196,196,96,106,115,124,129,131,137,145,150,156,161,163,168,173,175,178,181,184,187,188,190,192,194,196,196,196,196,198,95,107,117,126,130,133,140,146,153,159,162,166,172,175,178,181,182,186,188,189,192,195,197,197,198,198,199,200,96,107,121,124,127,132,140,147,156,161,165,170,174,176,181,184,185,187,190,193,195,195,198,200,200,201,201,202,98,111,116,151,166,144,145,149,157,161,167,172,177,177,181,186,188,189,193,195,196,199,199,200,201,202,203,203,100,113,113,210,202,166,164,156,162,168,168,168,172,180,185,188,189,193,195,196,198,202,202,203,204,204,205,205,101,114,120,169,183,163,162,151,172,175,171,165,149,155,172,178,184,194,197,200,203,204,204,205,207,207,207,208,102,114,125,133,143,139,132,130,154,160,163,164,155,165,160,163,169,181,188,177,183,198,210,204,207,209,209,210,106,115,127,137,139,139,144,146,153,151,145,143,153,167,162,154,149,163,185,176,163,149,169,215,210,208,211,212,107,117,130,137,139,143,154,160,166,169,164,158,156,153,146,137,134,160,175,192,168,146,131,152,215,214,210,213,107,120,132,139,142,145,154,161,166,173,178,182,185,182,171,152,163,182,176,179,172,157,161,138,139,211,217,214,109,121,132,141,144,146,156,162,168,173,178,180,186,192,195,226,215,190,144,150,194,154,172,171,130,127,215,219,109,121,134,143,145,148,157,164,170,176,177,191,194,161,163,200,207,171,107,115,202,148,176,174,166,115,126,219,111,122,136,144,146,149,159,165,171,178,176,213,191,144,147,207,221,172,127,133,171,166,180,171,157,134,98,120,114,125,136,145,146,150,159,166,172,179,181,202,163,141,155,217,223,166,132,141,137,148,164,148,134,133,118,98,115,127,138,146,147,151,159,167,174,180,185,189,186,147,162,213,201,154,137,149,148,146,158,139,111,122,123,119,114,128,139,146,148,152,160,170,175,180,187,184,240,233,143,117,122,122,148,166,161,164,168,146,121,124,123,119,115,128,140,148,150,153,163,170,175,181,190,185,229,249,176,77,29,14,32,74,145,161,161,143,140,136,117,106,117,128,141,149,151,155,163,170,176,183,190,186,223,245,175,91,56,37,6,0,59,144,140,130,113,91,70,52,118,130,142,148,151,157,165,171,178,183,190,189,216,250,151,92,112,103,69,35,16,70,81,63,42,32,27,15,119,132,142,148,150,158,165,171,178,184,191,192,207,252,159,120,158,135,129,120,65,39,35,33,29,27,27,21,117,131,141,147,148,156,162,170,176,182,190,193,200,252,186,113,173,143,135,95,51,42,40,38,33,29,28,24,117,130,141,146,148,156,163,172,178,184,188,193,191,239,211,101,205,209,148,69,40,37,38,38,34,30,28,26,117,131,142,147,150,157,166,174,180,186,190,197,192,234,192,92,211,228,161,57,36,36,37,38,34,31,33,33,118,132,143,148,151,157,167,174,181,187,190,197,199,215,139,165,219,226,177,59,49,43,39,34,33,33,34,32,118,133,144,150,153,158,167,173,181,187,191,196,202,204,199,216,215,219,223,101,58,50,42,35,34,34,33,29
7,151,150,150,152,150,151,150,148,147,144,145,144,142,141,140,140,138,136,135,134,131,130,129,127,126,123,122,120,154,154,153,153,151,151,151,150,150,147,147,147,144,143,143,143,141,139,137,135,134,133,132,129,129,126,124,123,157,157,155,155,153,152,152,152,151,151,150,148,147,147,146,143,143,141,140,140,137,135,134,131,132,129,126,125,159,158,158,159,157,156,155,155,154,152,152,151,151,150,148,146,145,143,142,142,140,137,135,134,133,131,128,126,161,161,160,160,159,158,158,157,156,155,154,152,152,153,151,149,147,145,144,143,142,140,139,137,135,133,131,129,163,164,162,162,161,160,160,158,158,157,156,154,153,153,154,150,150,150,146,144,144,142,141,138,135,135,132,131,165,165,163,163,163,162,162,162,160,159,158,156,155,154,155,154,152,151,149,147,145,144,143,141,139,137,135,133,168,168,166,166,166,165,164,162,159,159,164,165,163,159,157,156,154,153,152,150,148,147,144,142,142,139,136,135,169,170,168,167,168,167,163,173,150,114,143,128,144,157,163,163,162,155,151,151,150,148,145,144,143,142,138,137,169,169,170,169,169,166,166,192,161,171,157,73,54,75,104,119,135,157,162,156,152,150,148,146,146,145,141,139,172,171,172,171,172,167,180,183,177,194,155,93,75,56,52,65,66,78,110,143,151,154,153,150,147,144,143,140,173,172,173,173,172,170,185,176,185,182,154,147,151,99,47,46,55,55,52,53,72,88,112,137,153,146,144,143,176,175,174,175,171,177,188,187,192,176,166,173,158,122,82,51,51,52,43,49,50,52,48,89,154,149,147,144,177,177,176,177,174,183,186,192,187,174,171,168,149,140,124,86,47,50,42,43,54,55,52,46,70,102,144,146,177,175,177,175,178,189,193,185,176,170,162,155,156,157,137,99,57,45,52,48,61,53,45,40,37,50,136,150,179,178,179,174,179,190,196,185,174,166,146,149,161,157,134,93,64,54,38,71,153,137,117,105,101,120,150,148,180,180,180,170,184,192,192,175,168,164,151,152,159,139,113,83,61,59,49,64,165,165,164,164,161,158,151,149,181,180,180,169,192,198,187,163,165,166,155,150,139,105,96,81,58,64,71,57,141,166,157,158,157,154,153,151,183,183,172,171,200,194,181,165,163,157,147,140,109,97,97,77,67,62,60,99,163,163,160,160,157,155,153,152,183,186,163,179,200,186,172,173,160,150,142,122,103,106,90,75,43,34,95,159,168,164,163,161,158,156,154,152,185,180,158,192,191,176,170,168,147,144,131,114,114,104,78,70,70,131,172,169,165,165,165,162,158,155,153,152,188,164,166,195,184,172,170,158,148,137,123,117,108,90,65,124,178,176,171,168,168,167,164,161,159,158,155,152,183,153,182,185,179,171,162,157,141,123,122,109,94,69,92,176,176,172,172,171,170,168,165,164,161,158,158,154,169,164,182,176,177,175,150,136,119,115,111,95,75,83,164,180,174,174,172,172,170,168,168,165,162,159,158,155,159,177,176,174,177,158,127,113,104,96,90,74,94,165,183,176,176,175,175,171,170,169,169,165,163,160,158,156,157,177,181,187,152,129,114,96,85,75,64,81,172,184,178,179,178,175,175,172,171,171,168,166,163,161,159,157,164,166,186,171,124,131,104,79,70,64,73,152,188,179,180,179,178,176,174,174,172,170,168,166,165,162,160,157,163,164,171,153,129,138,103,69,60,73,164,188,184,182,180,178,177,177,176,175,172,170,169,167,165,162,161,158
4,90,96,102,104,107,112,114,117,119,121,123,126,128,130,132,133,133,133,136,139,138,139,141,141,141,142,142,143,91,97,103,106,108,111,115,117,119,122,122,125,129,132,131,131,135,138,137,136,141,140,142,142,143,142,143,143,93,98,103,106,110,113,116,118,119,123,124,128,125,132,135,136,132,125,136,140,138,144,143,143,144,144,143,144,94,100,104,107,111,115,118,119,121,122,120,132,143,125,117,156,135,86,68,120,104,97,144,145,144,145,146,146,94,101,104,108,112,115,119,118,121,140,118,108,135,132,76,121,127,81,35,71,99,55,93,154,144,147,147,147,94,100,104,108,113,117,121,115,142,168,144,113,77,86,69,93,124,70,31,99,100,58,49,152,148,148,149,149,95,101,106,109,113,117,119,119,165,135,146,105,69,41,47,105,141,65,77,120,78,36,34,145,149,148,150,149,97,102,106,110,113,118,114,133,153,105,141,78,46,45,41,77,114,109,130,107,84,25,49,151,148,150,150,151,97,103,107,111,116,119,113,148,149,115,130,80,41,60,76,80,110,128,108,115,109,72,70,160,149,152,153,153,95,103,108,112,115,119,117,162,139,122,114,94,24,82,139,115,114,107,91,136,121,108,83,141,155,151,154,155,97,104,109,112,116,117,129,159,115,92,80,61,16,39,104,95,94,61,71,145,137,130,97,79,153,155,155,155,97,103,109,113,119,113,147,158,117,94,75,48,27,19,30,46,47,59,101,125,140,132,115,72,96,163,154,156,97,104,110,114,120,117,168,152,122,106,83,61,40,30,31,40,86,147,142,128,123,106,105,94,55,137,161,156,99,106,110,115,116,125,177,150,134,111,78,60,47,40,80,133,160,159,137,123,108,84,84,87,54,123,166,156,100,106,110,116,113,144,184,154,133,102,81,77,52,81,146,161,159,157,135,115,97,74,65,67,62,151,159,158,100,106,112,117,114,159,185,154,125,104,99,85,76,133,148,151,156,147,127,105,87,67,61,48,113,166,156,158,101,106,111,118,112,165,183,147,130,125,115,94,116,141,148,151,146,135,115,94,78,63,49,70,158,157,160,161,101,107,112,119,114,169,182,155,144,135,118,109,135,143,151,146,130,119,100,83,71,59,44,133,165,157,162,163,103,108,113,118,114,162,182,163,151,135,117,106,128,142,141,134,118,107,90,73,66,44,87,167,158,159,163,163,103,109,114,118,114,150,180,160,151,135,113,98,118,130,128,121,105,96,80,65,53,53,149,164,160,160,162,162,104,110,114,119,118,139,174,151,135,124,106,105,118,128,127,115,95,84,70,57,42,128,166,161,163,163,163,163,105,110,115,120,120,136,165,133,127,119,112,119,111,118,119,106,90,75,64,39,102,166,160,162,162,164,164,164,105,109,114,122,119,134,161,131,136,127,135,131,107,105,112,97,78,70,46,72,161,158,162,163,163,164,164,164,106,110,115,120,121,145,161,146,139,135,131,122,102,90,102,88,70,61,43,139,162,160,164,164,164,165,165,165,106,111,116,116,149,166,138,133,146,139,122,108,95,82,89,79,69,42,84,167,158,162,163,163,164,165,165,165,106,111,112,131,170,158,161,98,106,140,113,99,90,74,75,71,66,33,103,169,159,162,164,164,164,165,165,167,107,113,115,162,160,157,162,159,83,86,101,96,81,59,70,64,60,34,109,170,159,162,164,166,166,166,166,167,109,106,143,169,151,160,159,158,160,74,63,87,71,57,65,58,56,32,115,169,161,163,164,166,167,167,168,168
19,172,172,175,175,174,174,174,173,173,173,173,172,172,171,170,171,169,169,168,167,166,166,165,164,163,162,161,159,173,174,174,174,175,175,175,175,174,174,174,173,173,172,171,171,171,170,168,167,167,166,166,164,164,164,161,160,174,175,174,176,177,177,176,176,176,175,175,175,174,173,172,172,172,171,170,168,168,167,167,166,165,163,161,161,175,176,178,178,177,179,171,159,162,176,175,176,176,173,173,172,172,171,171,169,169,168,168,166,165,164,162,161,177,178,178,179,177,192,185,161,128,154,177,177,177,174,175,174,173,172,171,170,170,169,168,167,165,165,164,163,178,178,178,179,179,185,207,180,143,106,165,178,177,176,174,174,174,173,172,171,170,170,169,167,167,166,164,162,180,181,180,181,180,180,207,191,153,102,121,180,179,176,175,175,175,174,172,171,171,170,170,169,168,166,164,164,181,182,181,182,181,180,201,188,148,104,91,176,179,178,177,175,175,175,172,171,172,171,171,170,169,167,165,164,183,182,183,184,183,199,196,174,147,107,91,171,180,181,180,178,177,177,174,172,173,173,171,171,170,168,166,165,183,184,184,183,207,218,193,169,169,159,143,165,167,173,178,179,178,178,176,174,172,172,172,171,171,169,167,166,185,185,184,195,214,187,155,146,160,184,192,185,170,159,151,162,173,177,177,174,174,174,173,172,171,170,167,166,186,186,187,219,214,189,144,112,121,163,190,197,195,189,167,160,150,161,168,174,175,175,175,173,172,170,169,167,187,186,208,222,204,186,166,139,121,130,153,170,181,186,183,183,180,179,160,147,156,168,174,174,172,171,170,168,188,190,218,206,182,168,161,157,162,154,146,141,139,147,162,177,186,194,186,162,147,129,148,170,173,172,170,168,186,208,225,202,166,143,143,135,166,178,169,157,138,112,111,142,151,166,173,171,161,143,135,150,161,172,171,170,193,228,230,201,173,158,154,151,149,162,176,173,156,127,115,144,177,170,160,152,151,154,154,154,139,173,172,171,207,230,218,192,173,170,175,175,168,138,129,155,156,142,132,117,179,184,183,179,171,160,151,148,162,174,172,171,221,226,205,177,157,164,187,188,182,147,118,129,123,133,136,127,181,184,185,183,182,181,177,175,175,173,173,172,223,225,202,164,142,123,156,185,194,171,154,131,121,110,117,160,185,185,185,183,181,180,179,178,176,174,173,171,231,229,193,166,153,150,143,144,137,176,176,146,134,116,160,185,186,185,185,184,182,180,179,178,177,175,173,171,232,218,190,171,163,162,158,149,137,153,161,152,132,143,186,187,186,186,186,184,182,181,180,179,179,177,175,172,225,211,193,177,172,170,160,145,133,134,125,119,151,183,190,188,188,186,186,185,183,182,181,180,178,177,175,173,221,203,186,172,165,168,161,147,134,135,126,150,187,191,191,189,189,187,186,185,183,183,182,181,179,178,176,173,215,199,180,149,132,132,140,142,138,136,144,186,193,192,192,190,188,187,186,186,185,184,182,180,180,179,177,175,200,181,156,123,105,95,134,154,150,167,187,192,193,192,191,189,187,187,187,186,185,183,182,180,182,183,183,176,178,153,126,114,102,97,158,170,170,169,169,169,168,167,166,166,166,165,165,164,163,170,183,189,189,178,174,163,147,128,115,110,105,102,106,105,102,100,100,101,100,98,98,98,99,97,98,114,151,182,184,176,171,175,178,148,125,115,110,107,108,106,104,103,100,99,99,99,97,96,95,95,94,95,141,188,183,176,166,173,160,176,197,156
12,70,74,79,86,100,113,120,127,133,138,139,142,144,146,150,152,156,158,159,160,161,164,165,165,165,165,166,167,70,75,81,86,102,116,121,128,134,138,139,143,145,148,151,153,156,159,161,160,163,164,165,166,167,167,168,168,72,75,82,88,103,116,124,131,135,138,141,144,148,149,154,159,157,161,155,164,165,167,167,167,168,171,171,171,72,78,84,90,106,117,125,131,136,139,144,145,147,163,130,128,168,172,118,113,170,164,171,172,170,173,172,172,73,78,85,92,109,119,126,131,136,142,147,140,171,185,139,102,147,176,131,85,119,128,112,165,175,172,173,173,74,78,86,93,109,121,127,134,139,144,148,140,196,194,152,118,126,177,146,113,82,126,91,111,179,174,175,175,74,80,88,95,112,123,128,135,140,145,148,149,199,213,172,123,122,183,144,114,75,118,115,76,159,181,175,176,75,82,88,98,114,124,130,137,141,146,142,159,183,195,186,123,112,190,146,107,70,116,109,77,163,181,178,178,77,83,89,99,115,124,132,137,141,137,150,166,170,157,162,113,90,158,134,95,71,119,101,87,174,182,180,180,76,83,90,101,116,124,131,138,140,187,206,139,94,100,141,95,74,126,103,82,76,113,90,105,188,180,181,180,78,84,89,103,118,125,133,131,169,226,176,123,100,71,125,108,70,111,106,82,77,106,84,116,190,180,182,182,78,85,91,105,118,125,136,135,194,168,157,134,115,74,105,140,73,110,142,94,89,141,100,124,193,181,183,184,79,85,92,106,119,126,132,144,196,146,137,148,118,92,52,80,47,74,117,85,95,148,113,72,148,192,183,185,79,86,93,108,121,128,129,154,195,152,121,140,112,99,47,33,66,100,100,99,128,115,89,77,97,190,185,186,80,87,93,109,121,127,130,157,210,165,132,111,99,83,42,56,113,155,160,152,143,117,111,96,109,191,186,187,82,87,95,112,122,130,130,163,209,166,146,109,83,84,70,102,156,178,174,159,139,113,105,86,142,194,186,187,83,88,96,114,124,131,130,168,205,173,151,117,102,125,119,160,185,185,176,150,126,111,92,86,174,190,187,188,83,89,97,114,122,132,133,161,196,167,145,120,121,126,125,182,181,183,173,137,117,107,84,114,193,186,189,189,83,89,98,115,122,131,136,152,191,162,143,127,122,115,135,172,173,179,157,127,110,100,83,160,193,187,189,189,83,89,100,117,123,132,139,146,187,160,148,141,128,128,154,169,174,165,140,120,104,88,103,190,189,189,189,191,85,89,101,118,125,135,140,142,174,166,158,154,140,133,154,162,161,141,120,107,99,82,142,196,188,190,192,192,85,90,102,119,126,133,140,141,163,175,156,147,134,120,126,144,142,125,106,99,91,101,184,190,189,190,193,193,86,90,104,118,124,133,140,144,156,184,150,140,126,113,114,123,117,109,98,99,83,149,195,188,191,192,193,192,86,90,106,120,124,134,139,146,151,187,166,138,116,109,118,115,116,110,97,89,106,189,187,190,192,193,193,193,86,91,107,120,126,135,141,147,149,187,181,145,129,129,132,114,116,111,95,76,145,195,188,192,194,194,195,195,87,93,108,119,126,134,142,144,162,201,193,154,145,137,133,111,107,98,90,67,156,196,190,192,194,194,195,195,86,92,109,120,127,137,138,165,194,181,212,163,153,136,128,110,97,88,87,65,159,196,188,193,194,194,196,196,87,93,110,121,128,137,141,199,209,159,180,163,152,132,124,105,87,88,85,68,168,195,190,194,194,195,196,196
8,145,147,150,150,153,153,155,156,155,155,154,154,153,153,153,152,152,151,151,148,147,146,146,145,145,143,140,138,146,150,153,154,156,156,156,156,157,156,156,156,156,155,155,155,154,153,153,151,150,148,147,147,147,145,143,141,150,153,154,155,157,158,160,159,159,159,160,158,157,159,156,157,156,156,154,153,152,151,151,150,148,146,144,143,153,154,156,160,162,160,160,161,162,161,161,161,158,151,160,157,156,156,157,156,154,153,152,151,152,149,145,144,154,157,159,160,162,163,162,163,164,164,158,173,175,98,147,164,159,157,158,158,156,154,155,153,151,150,148,146,157,160,163,161,163,164,165,165,166,165,159,190,160,64,134,168,160,161,160,159,156,156,155,154,153,150,151,150,160,162,164,164,164,166,167,168,167,167,163,196,128,57,148,168,162,164,162,160,158,157,155,155,155,153,153,151,161,163,166,167,167,169,170,169,169,168,171,197,113,61,164,169,166,164,164,161,160,160,158,158,156,156,154,153,164,164,167,169,169,169,170,171,172,168,180,200,110,76,168,168,167,163,164,164,162,161,161,159,158,156,154,154,166,167,169,170,171,172,173,173,175,168,188,183,86,83,172,168,169,168,166,164,163,162,161,160,159,158,156,155,167,170,171,173,174,174,174,176,177,169,195,180,86,97,178,169,168,164,171,165,163,164,163,163,160,160,158,157,170,172,173,176,178,178,178,179,180,171,206,178,118,117,172,170,185,112,124,180,170,169,163,162,163,162,160,157,171,173,175,177,180,180,181,181,181,177,207,169,135,129,181,195,189,120,67,106,109,152,173,170,163,164,162,160,172,175,177,179,179,180,181,182,182,181,203,177,154,142,200,196,189,160,107,44,45,62,154,141,171,164,164,163,175,178,180,181,182,183,184,186,181,195,216,170,154,162,190,170,180,182,133,120,80,33,75,43,97,176,162,163,178,179,182,185,185,185,186,188,182,209,196,150,143,136,187,153,97,169,158,154,105,37,40,42,18,150,170,163,179,181,184,186,186,186,188,182,193,205,153,114,128,115,171,132,60,69,162,142,100,35,5,32,13,111,181,163,182,185,186,188,188,188,189,186,218,207,165,119,95,82,162,158,111,14,180,158,109,44,1,23,24,148,176,166,182,186,188,189,189,192,187,205,229,196,154,117,97,64,153,165,89,22,155,177,110,48,14,5,90,183,170,170,182,186,190,190,192,193,189,224,223,186,142,111,100,51,60,122,91,79,158,184,113,51,6,71,179,175,173,172,185,186,188,190,194,191,199,231,203,164,150,128,100,63,151,189,178,172,160,163,108,38,59,186,178,177,177,173,187,188,190,193,193,195,215,226,191,175,154,109,89,165,217,200,167,177,143,121,97,43,67,196,178,181,179,176,187,189,193,192,202,168,213,225,189,185,140,98,158,212,198,178,141,160,128,87,91,38,103,194,178,179,180,178,189,190,194,195,203,69,107,230,194,184,123,152,204,209,185,165,136,142,127,63,63,36,180,187,182,181,180,179,189,192,192,208,115,41,32,101,185,171,130,160,191,195,177,162,122,125,113,58,16,108,202,184,186,184,181,179,190,192,204,164,47,41,43,28,56,111,115,150,169,179,166,145,114,119,80,26,30,189,189,187,188,185,183,180,191,198,187,66,42,39,34,44,7,0,32,53,87,126,134,121,111,88,40,4,146,202,189,190,188,187,185,182,191,195,99,38,42,35,32,32,35,0,0,2,0,7,30,47,48,29,0,102,206,190,191,191,189,187,184,181
11,86,91,97,104,109,112,117,120,123,125,127,132,142,117,132,131,130,131,131,131,130,129,128,129,109,133,144,149,89,96,103,109,113,117,122,125,129,131,130,137,160,82,130,136,133,133,132,131,130,129,129,125,125,149,150,155,94,99,108,116,120,124,129,132,135,137,136,143,182,76,111,145,136,137,136,135,135,133,131,127,147,95,146,159,98,104,114,121,126,129,134,138,141,144,143,151,186,73,97,154,142,143,141,140,140,138,136,134,135,140,162,156,102,109,119,127,132,136,141,146,149,151,150,159,179,67,101,160,147,149,148,146,145,144,142,139,137,144,116,150,105,112,124,133,138,143,148,152,155,158,156,170,185,70,109,167,154,156,155,153,152,149,147,144,143,134,116,154,108,117,129,138,144,148,154,157,161,165,159,192,177,53,124,172,161,162,161,160,158,155,152,150,148,145,143,160,112,121,136,143,149,154,159,163,167,171,165,208,176,51,145,176,168,167,168,166,163,161,159,155,153,150,148,169,116,125,140,148,153,158,164,169,172,173,176,184,108,57,152,180,173,172,171,172,170,168,166,162,159,156,152,172,120,130,143,151,158,164,169,173,177,173,211,179,71,51,159,184,177,177,177,177,175,173,171,168,164,160,157,173,123,132,147,156,161,167,173,175,183,183,119,140,108,61,169,187,181,181,181,180,179,177,174,172,168,167,161,172,126,137,151,159,165,171,175,185,225,179,64,63,125,72,160,193,185,184,185,183,182,180,178,174,179,146,73,184,128,140,154,163,168,171,185,142,143,156,106,59,113,76,135,199,186,188,189,187,186,185,185,180,188,92,26,100,131,143,157,165,168,191,206,131,61,88,139,73,80,81,103,201,189,192,192,191,185,173,159,156,148,50,38,28,132,146,159,166,194,199,166,161,125,63,105,83,59,96,69,191,197,196,189,180,181,160,137,136,109,51,38,37,134,148,159,195,200,132,87,131,156,80,58,72,48,124,94,158,204,187,187,187,185,155,125,103,77,40,31,33,136,150,163,206,175,112,74,53,139,85,50,77,33,114,133,78,150,191,198,176,137,99,56,24,23,24,21,30,137,152,163,194,151,89,60,30,107,97,54,91,38,71,122,87,153,186,166,112,66,39,14,18,18,16,22,18,138,153,161,184,147,95,69,47,69,104,66,106,68,124,135,112,144,138,91,37,15,32,28,8,13,16,26,0,137,153,160,188,167,114,82,60,57,78,94,123,116,172,133,92,105,65,13,24,12,15,31,20,2,6,7,3,139,155,163,192,173,125,100,69,70,81,143,188,191,159,111,86,56,23,6,11,24,8,16,25,12,3,2,4,141,156,165,191,178,142,110,76,86,91,171,198,173,137,94,66,0,6,26,0,17,20,7,12,20,4,1,2,132,145,155,183,178,150,115,89,97,96,163,182,147,109,82,52,0,0,23,16,2,18,15,4,9,12,0,2,86,89,82,131,176,157,122,106,102,99,142,168,137,97,70,28,17,0,8,24,10,7,15,7,0,11,0,0,86,87,84,98,166,161,130,118,105,92,129,148,125,87,34,0,29,0,0,19,16,11,8,7,0,2,6,0,88,88,89,92,164,159,136,123,105,79,110,113,90,52,0,0,26,4,0,9,20,10,7,5,0,0,0,0,88,89,90,91,165,168,140,121,102,82,89,90,53,0,2,0,14,21,0,0,19,12,4,6,3,0,0,0,87,89,92,81,151,167,124,106,95,84,86,75,33,0,0,1,6,25,0,0,7,15,2,3,4,0,0,0
1,125,129,131,134,138,143,146,146,147,148,151,152,153,155,155,155,156,156,161,158,159,159,159,159,158,157,158,159,129,132,136,138,141,146,148,151,151,152,154,154,156,154,159,159,167,162,137,163,162,161,160,159,159,159,160,161,134,137,139,142,146,149,152,155,156,157,159,159,159,173,141,149,186,167,96,163,167,166,163,163,162,162,161,162,138,141,144,147,150,153,156,159,160,161,163,161,167,194,117,133,191,150,98,165,147,157,170,166,167,166,165,166,141,145,147,151,155,157,160,163,164,165,166,165,179,189,108,144,191,137,103,176,140,115,177,169,170,169,168,167,144,148,152,156,159,162,166,167,168,168,177,156,166,183,107,150,193,128,112,189,142,104,178,173,173,172,172,170,149,153,156,159,163,167,170,173,174,174,196,142,131,166,114,157,198,136,126,194,135,104,180,177,176,176,175,174,153,157,159,163,168,171,175,177,178,180,202,126,131,154,123,157,188,131,130,199,136,106,184,181,180,179,179,177,156,160,163,167,172,174,178,180,182,186,192,115,135,137,114,137,182,122,140,204,141,111,189,185,184,183,182,180,160,163,167,170,175,178,180,185,186,189,198,125,137,144,114,138,197,127,156,198,136,118,195,190,188,186,185,184,162,166,170,173,179,181,184,189,187,194,196,123,128,160,126,139,198,126,168,202,136,124,199,192,192,191,190,189,165,169,173,177,182,184,188,191,190,200,206,139,119,149,111,130,174,111,181,204,140,135,204,193,194,195,194,193,168,172,175,180,185,188,189,194,193,202,215,143,107,133,111,136,153,132,188,189,131,146,207,196,199,197,195,195,171,175,178,182,188,190,192,197,195,203,211,148,137,174,162,173,177,164,152,177,125,156,209,199,202,200,199,198,173,177,181,185,189,192,196,200,197,211,221,178,148,147,188,203,212,174,114,143,112,164,211,203,203,203,202,200,175,178,183,187,190,193,198,202,199,220,210,160,133,101,127,156,175,197,153,92,89,181,213,205,206,206,204,202,177,181,185,190,193,195,200,204,201,225,204,157,121,110,115,128,173,221,195,119,82,199,212,208,207,207,206,205,179,183,187,192,195,198,202,206,204,229,211,157,128,131,136,171,190,214,218,154,93,197,217,211,210,209,208,209,181,185,189,193,196,201,205,207,208,230,207,155,127,138,144,204,215,198,197,159,98,175,223,212,212,211,210,210,184,188,191,195,200,203,205,207,211,229,206,164,136,149,164,226,223,195,160,131,91,175,224,213,214,213,212,211,185,188,193,198,202,204,207,210,211,226,209,167,150,144,179,234,219,180,147,110,87,193,223,215,216,216,215,214,186,191,194,198,203,205,208,211,212,221,205,167,156,142,179,230,203,165,135,97,116,223,218,219,219,216,216,217,187,192,195,199,203,205,210,214,214,216,204,176,169,147,169,218,186,152,120,85,160,231,217,220,220,219,218,218,189,192,197,201,204,208,210,213,215,213,201,180,175,151,166,211,175,141,108,90,198,227,221,222,221,221,220,220,191,194,198,202,206,208,212,214,217,217,207,182,175,143,158,196,162,132,96,110,225,223,223,223,223,223,223,222,190,194,199,204,207,209,212,216,214,219,212,184,168,130,149,168,137,121,86,153,235,224,226,224,224,223,224,222,189,193,198,202,206,208,210,216,209,223,215,202,167,135,152,153,129,107,104,213,228,226,226,224,225,225,223,223,189,194,198,201,207,211,213,212,210,224,216,204,174,146,153,142,124,88,169,233,224,226,226,224,225,225,223,223
19,205,207,209,212,214,215,217,218,219,219,219,220,220,219,219,218,219,218,218,217,215,217,216,212,212,212,209,208,207,208,211,213,216,218,218,220,221,223,222,221,223,222,222,220,220,220,219,219,218,218,217,216,214,215,212,212,209,211,214,217,219,219,222,224,225,225,224,224,224,226,225,224,223,222,222,222,220,218,219,219,217,216,213,213,210,213,216,218,220,222,224,224,226,226,226,226,226,227,226,225,227,224,224,224,221,221,220,220,219,219,217,215,211,215,217,219,220,224,225,226,228,229,228,229,229,229,228,226,228,227,225,224,224,224,222,222,220,219,218,216,213,217,218,221,222,225,227,229,230,232,232,232,232,231,229,229,228,229,227,227,226,224,225,224,222,222,220,218,216,218,222,223,224,227,228,231,233,233,233,233,232,230,232,224,236,231,228,229,228,227,225,225,225,223,222,221,217,219,223,226,225,228,231,233,235,235,234,236,243,234,251,208,166,236,230,228,230,229,229,227,225,223,223,223,219,221,224,227,229,232,233,235,235,237,239,207,183,213,255,236,110,187,245,239,235,234,233,231,228,230,227,224,219,222,226,228,233,234,234,235,237,235,222,180,130,134,156,171,148,132,161,175,207,213,219,222,227,220,213,222,220,225,228,232,233,234,237,239,236,221,217,225,217,154,87,119,152,140,138,118,130,153,164,146,174,151,159,217,224,226,229,232,233,236,234,230,209,217,235,238,196,122,83,76,104,120,131,119,123,145,152,147,153,156,151,200,224,226,231,233,236,234,231,219,214,217,222,223,199,145,83,74,73,78,83,78,84,93,106,107,105,112,118,140,225,226,231,234,233,231,230,226,222,210,221,231,231,187,104,71,79,64,91,137,162,165,163,162,174,177,192,214,226,229,233,235,234,231,229,228,225,222,230,235,229,189,109,72,78,61,164,255,248,248,245,247,248,245,242,238,228,230,229,234,231,234,231,231,233,228,226,225,216,197,129,72,74,75,83,235,245,240,238,237,238,237,234,237,224,227,240,239,238,234,235,237,236,226,218,231,228,213,150,77,71,82,55,149,255,240,241,242,240,239,238,238,227,255,255,244,236,237,239,236,226,223,230,237,231,192,138,88,67,85,58,117,255,241,243,244,242,241,240,239,255,255,253,239,233,234,230,225,221,220,213,213,200,162,130,100,78,81,64,192,255,244,244,244,245,243,241,239,255,255,241,234,232,229,225,223,214,211,200,194,186,164,129,105,95,82,50,198,255,246,246,244,244,243,242,241,255,255,243,228,220,222,217,219,216,208,199,189,180,189,135,101,102,83,74,234,255,248,248,247,244,243,243,242,255,251,238,222,206,208,206,207,213,201,190,166,161,182,116,93,109,81,109,255,246,248,249,248,246,245,245,243,251,245,226,205,190,186,191,189,197,184,159,131,131,119,65,91,113,71,162,255,248,249,249,249,247,247,245,244,239,228,203,186,174,153,159,167,173,148,121,117,111,73,85,101,94,174,255,253,251,250,250,249,249,248,245,245,238,201,194,183,152,129,116,128,134,118,103,94,75,70,94,134,205,255,252,253,251,251,251,250,249,249,247,245,196,181,196,178,139,104,96,95,98,84,125,199,185,189,221,251,255,252,252,252,251,251,250,250,248,247,246,244,127,183,191,160,122,78,53,54,115,184,244,255,255,255,255,254,252,253,254,253,253,252,250,248,246,246,244,243,61,115,112,75,48,27,11,9,223,255,253,254,253,254,254,254,254,254,255,253,253,253,251,249,248,247,245,244
19,150,151,153,155,155,156,158,159,159,159,160,160,158,158,157,159,160,157,157,156,155,155,154,153,152,151,151,151,151,153,154,156,158,159,160,161,160,160,160,161,160,158,158,140,142,161,158,157,158,157,157,156,154,154,152,152,152,154,157,159,160,161,161,162,163,162,163,162,159,169,164,121,76,147,163,158,159,159,159,157,156,153,152,154,153,155,158,159,161,162,162,162,162,162,163,164,159,180,162,127,70,115,171,158,159,159,159,159,157,155,155,155,154,157,160,160,161,163,164,165,164,164,165,164,162,184,157,130,72,104,172,159,160,160,160,160,158,157,157,157,157,159,161,163,165,165,167,166,167,166,166,165,167,183,146,120,64,98,174,160,163,161,159,158,160,158,158,158,158,161,163,165,166,166,167,167,167,167,168,165,171,183,132,96,59,100,172,155,158,152,165,171,145,159,159,159,159,162,165,165,167,167,168,168,167,168,168,165,170,177,144,123,139,157,163,151,170,152,192,202,105,158,159,160,160,163,165,166,168,171,170,169,168,168,172,175,173,165,166,164,181,184,170,156,169,160,149,131,114,166,160,161,162,165,166,168,170,170,170,169,176,184,189,195,191,173,151,143,143,142,129,112,104,103,101,119,160,164,164,163,165,167,167,170,169,177,179,175,188,196,195,186,170,160,150,142,106,71,92,110,131,143,163,170,165,165,164,162,166,167,170,170,176,197,186,181,179,178,178,175,175,174,174,178,128,72,167,173,174,171,169,166,165,165,164,163,167,168,172,169,185,200,189,186,178,181,187,188,184,177,174,163,119,59,157,172,168,168,169,167,167,165,165,165,169,171,174,172,182,200,187,179,184,192,191,192,183,171,167,148,101,48,118,181,168,172,169,168,167,167,166,165,170,173,174,173,182,195,174,170,177,186,190,177,166,175,181,180,122,51,70,175,173,172,171,170,168,168,167,166,171,173,177,174,190,183,166,168,168,156,156,177,192,183,174,184,122,55,49,155,178,173,172,171,171,170,168,167,172,175,177,176,189,167,168,174,170,157,179,190,175,165,166,158,106,60,38,136,183,173,173,173,172,172,171,170,172,175,178,177,181,182,188,185,189,195,191,178,170,164,151,128,85,55,37,153,180,174,175,174,174,173,172,171,173,176,179,179,177,199,198,185,182,184,182,170,153,149,163,170,127,39,102,186,175,175,175,176,175,174,173,172,174,176,179,181,177,190,200,177,170,162,134,127,166,188,187,187,149,52,133,188,175,177,175,177,176,174,174,174,175,178,180,182,182,175,188,172,165,155,149,174,198,178,155,151,127,56,83,190,177,179,177,178,177,175,174,173,176,178,180,183,185,178,177,192,189,181,188,189,172,154,142,131,99,37,115,191,178,180,179,178,176,175,174,173,175,178,181,183,187,181,175,194,193,170,169,169,157,141,121,87,80,121,176,184,181,181,181,179,178,176,177,175,175,178,180,183,187,182,171,180,180,157,157,148,129,107,74,43,155,195,182,182,182,181,181,180,179,178,178,175,175,177,180,182,185,181,165,174,170,144,134,116,93,71,57,46,138,191,180,181,181,180,179,179,178,177,177,175,177,179,181,183,185,185,160,163,163,136,121,119,103,64,59,46,89,195,180,182,181,180,178,179,178,178,177,175,178,180,181,184,186,184,162,156,154,134,113,96,80,61,58,45,87,194,181,182,182,180,179,180,180,178,177,175,178,181,183,185,187,181,162,162,148,145,121,93,71,65,61,44,96,197,182,184,183,181,181,180,180,179,178,177
6,195,196,195,195,197,196,196,195,194,195,195,194,193,193,190,189,188,187,186,185,183,181,179,179,178,175,173,170,200,200,200,201,200,200,200,199,198,199,198,196,195,193,192,191,190,189,188,187,187,184,182,181,180,178,177,174,202,203,203,202,202,203,203,202,201,201,202,200,199,198,196,194,194,192,191,190,189,187,185,184,183,181,179,177,204,205,204,204,205,204,204,205,204,204,205,203,202,202,200,198,196,195,194,192,190,190,188,186,186,184,180,179,208,207,207,207,207,208,208,207,207,206,206,207,205,203,202,201,200,198,196,195,194,192,192,189,187,187,184,182,208,209,210,209,209,210,209,209,209,210,209,208,207,207,204,203,202,201,200,198,196,195,194,193,190,188,186,185,210,210,212,211,211,212,212,211,211,212,211,210,209,208,207,205,204,203,202,201,198,196,195,194,193,191,188,186,212,212,213,213,214,214,214,214,214,214,213,213,212,209,207,208,206,206,207,206,205,202,201,200,196,191,192,189,214,214,215,215,215,216,216,216,216,216,216,217,216,217,215,213,211,203,196,189,182,184,180,166,168,180,174,190,216,214,215,215,216,217,217,216,220,219,214,206,199,196,186,175,166,164,142,136,146,153,145,135,174,212,163,172,216,217,217,218,217,217,218,221,207,178,157,154,150,156,157,153,149,147,138,133,150,132,133,128,129,145,134,180,218,219,218,219,218,221,216,197,179,164,141,144,151,155,161,154,146,117,111,99,95,99,116,119,126,152,181,198,221,221,221,221,224,206,182,178,176,158,123,101,113,113,104,103,105,99,109,140,172,189,199,204,210,210,203,198,220,221,222,225,199,171,174,175,168,154,133,93,67,43,146,205,212,211,214,221,219,214,211,208,203,203,201,201,222,223,225,199,169,174,178,176,178,178,163,112,63,55,87,127,164,214,218,213,214,211,209,209,208,206,204,203,226,222,196,178,180,184,187,185,183,183,137,76,57,61,56,50,42,88,219,217,216,215,212,211,210,207,205,203,208,181,176,188,188,186,189,174,171,165,98,58,51,55,64,68,68,44,164,228,215,216,215,212,210,209,206,203,176,177,189,191,187,186,178,163,170,166,138,108,59,39,51,56,62,33,108,231,215,216,215,213,211,209,207,205,181,183,187,191,192,184,167,168,173,173,178,139,74,51,52,44,53,116,201,221,216,216,215,214,211,210,208,207,183,185,192,195,186,170,162,165,163,163,159,107,59,53,56,53,61,226,228,218,219,217,216,215,212,211,208,207,185,187,189,182,171,165,163,162,153,145,136,95,48,40,52,46,71,218,221,219,219,217,215,214,212,210,209,208,185,182,169,163,169,167,159,152,138,135,145,132,71,42,45,59,198,226,219,217,217,216,215,213,209,207,206,206,172,161,156,163,159,145,135,129,134,147,162,148,78,57,56,60,221,224,220,217,215,215,215,211,214,218,214,203,164,161,162,152,138,129,132,136,141,143,145,107,60,48,35,103,227,220,219,218,222,219,219,223,199,166,129,91,158,156,146,135,134,133,131,118,109,101,85,48,65,103,140,221,225,230,231,223,203,203,202,174,90,58,43,48,142,129,105,107,123,126,115,93,72,61,68,130,218,237,240,231,228,172,144,107,69,77,68,56,46,60,46,37,95,74,52,65,87,89,79,67,71,113,165,199,203,199,202,205,149,72,68,47,29,46,34,40,38,36,46,24,71,46,59,92,98,95,92,93,103,109,109,102,100,102,101,85,63,61,52,56,24,36,35,30,32,29,33,25
1,69,72,77,80,92,112,125,131,135,140,146,151,155,158,165,165,167,170,171,172,173,175,176,176,177,178,178,179,70,73,78,83,96,114,127,134,137,144,150,153,158,172,151,169,172,170,171,172,173,175,176,176,176,177,177,177,71,75,79,84,99,117,131,137,141,149,153,154,172,200,113,143,161,173,173,173,174,175,176,176,176,176,177,177,72,76,81,85,101,121,134,141,146,152,165,158,163,208,109,122,127,150,183,177,178,177,178,178,177,178,177,177,73,77,82,87,104,124,138,143,151,153,197,168,127,208,107,126,142,113,189,183,183,183,183,181,180,181,180,179,75,79,83,87,107,128,142,146,155,157,202,175,118,193,106,119,153,94,181,190,188,188,188,188,185,185,184,184,76,79,84,91,112,130,143,148,159,159,206,178,106,186,126,119,160,96,173,199,193,193,193,193,191,190,189,188,77,81,85,94,116,134,146,152,163,169,196,181,98,159,125,121,175,105,162,207,198,200,199,197,196,195,193,192,77,81,85,96,120,138,149,152,179,176,169,183,96,136,124,108,169,104,159,213,202,204,204,203,201,199,198,197,79,83,86,99,123,141,153,151,206,168,157,179,96,153,137,105,191,124,156,219,206,208,208,207,206,205,205,204,79,84,87,101,126,145,155,156,214,149,151,194,105,146,137,106,200,140,149,222,211,213,213,211,210,210,209,207,82,85,87,104,130,148,157,163,216,140,135,194,99,110,123,106,195,143,139,226,214,216,215,215,214,214,212,211,84,88,89,107,133,151,159,170,221,147,108,181,107,110,122,143,175,131,133,229,218,220,220,219,218,216,216,215,84,87,90,111,136,154,162,174,228,159,85,196,186,147,149,166,149,103,121,228,222,223,223,221,220,219,220,220,84,86,90,114,139,158,165,177,224,149,125,166,153,140,144,136,131,130,104,218,228,225,226,225,224,223,222,222,84,86,91,116,142,160,166,184,229,175,164,126,118,141,144,119,142,169,132,165,238,227,229,229,228,228,227,226,84,86,92,119,144,164,167,195,237,184,148,115,130,123,151,166,188,201,186,124,191,240,229,231,229,229,231,230,85,87,95,123,147,168,168,206,240,178,133,112,131,142,184,232,199,201,207,130,110,229,235,234,232,233,232,230,85,87,96,126,151,171,170,211,242,178,127,121,139,156,206,234,238,209,165,108,98,211,243,234,233,234,241,246,85,87,98,130,154,173,174,207,247,188,128,125,146,174,214,229,234,202,147,102,103,226,239,238,249,243,208,153,86,87,101,132,157,175,176,204,244,200,143,125,155,183,223,236,225,189,142,98,117,242,244,237,176,113,66,47,85,87,103,135,160,177,180,203,241,218,165,130,159,181,228,237,209,176,137,93,138,255,223,111,48,44,51,49,84,85,104,138,161,178,182,198,230,221,179,140,155,183,229,228,202,166,129,84,174,218,89,59,61,34,54,53,82,83,105,138,163,177,181,195,215,219,188,155,157,180,223,217,193,155,120,91,130,76,38,53,72,34,33,61,82,83,107,141,167,180,184,197,206,216,196,169,167,164,212,202,182,141,111,89,76,62,56,30,59,54,20,44,76,78,105,142,168,182,187,199,208,212,197,174,169,152,188,186,164,127,103,80,85,68,54,31,33,65,28,25,95,95,115,144,167,180,187,198,209,210,198,180,172,155,157,175,150,117,91,74,85,70,46,36,22,49,47,17,126,127,126,123,128,135,139,143,144,160,207,185,175,157,142,160,141,110,78,68,81,58,56,33,22,33,55,21
20,157,160,164,168,172,174,177,180,181,183,184,185,186,187,188,189,192,184,188,187,188,187,187,186,186,186,185,183,158,162,166,171,174,176,178,181,183,185,186,187,188,189,190,191,213,166,173,185,188,190,189,188,188,187,186,186,160,164,168,173,176,178,180,184,185,187,188,189,191,193,192,194,223,160,170,175,166,193,192,191,191,190,188,188,162,166,169,174,178,180,182,185,187,188,190,192,193,194,193,197,223,165,186,186,146,194,195,194,194,193,192,190,164,167,171,175,180,181,185,188,189,190,192,194,195,196,195,200,231,180,189,201,144,191,197,196,196,195,194,193,165,170,173,177,181,183,186,189,192,192,194,196,197,198,197,206,233,181,195,215,151,188,199,200,199,198,196,195,167,171,175,179,182,185,189,192,194,195,196,197,197,198,199,213,227,177,206,213,151,185,202,201,201,200,198,196,170,174,177,181,185,188,190,193,195,196,199,200,203,214,204,211,223,175,211,209,146,186,204,203,202,201,200,198,171,176,179,184,187,189,192,194,197,199,200,200,221,248,222,171,180,167,210,206,148,190,206,205,204,203,202,201,173,178,182,186,189,191,194,196,199,201,208,226,223,209,210,169,131,136,186,187,148,196,208,207,205,205,204,202,175,179,183,186,190,194,197,198,200,201,227,242,228,185,190,193,183,155,144,158,142,199,209,209,207,206,206,205,177,180,184,188,192,196,199,200,202,204,229,198,188,202,158,194,218,183,127,126,133,202,210,210,209,208,207,207,178,182,186,190,193,197,200,201,204,205,229,183,131,134,109,138,209,200,145,114,124,201,212,212,211,209,209,209,179,183,187,191,195,199,201,204,206,208,229,192,167,137,113,115,183,226,178,121,119,202,214,213,213,211,210,210,181,185,188,193,197,200,202,205,207,212,241,220,175,141,130,137,165,241,207,140,113,199,216,215,215,213,212,212,182,185,189,194,198,200,204,207,208,214,243,211,162,141,142,158,188,248,225,162,118,193,218,217,216,214,214,213,184,187,191,196,200,202,205,208,209,215,244,215,174,158,160,174,222,252,224,175,125,192,218,217,217,216,215,215,186,189,192,197,201,204,207,209,211,216,248,227,189,168,177,197,248,251,215,173,128,192,222,221,219,218,217,216,186,190,194,198,202,205,207,211,214,218,249,237,203,175,190,218,254,246,210,167,130,192,224,222,220,219,219,219,186,190,194,198,201,204,208,211,213,216,247,243,209,190,194,234,251,233,204,162,125,189,225,221,220,220,220,219,187,191,195,199,201,205,208,211,213,215,244,245,216,209,201,238,248,221,196,156,119,186,225,223,221,219,218,218,187,192,196,199,203,207,210,212,214,215,236,248,227,223,211,225,236,209,187,151,113,186,226,223,222,221,219,219,187,192,196,199,204,208,210,213,215,217,228,248,235,228,214,204,216,190,179,142,110,193,226,224,223,222,222,221,188,193,197,201,205,208,210,214,216,219,224,248,241,222,196,182,193,177,176,138,117,210,227,225,225,223,224,219,189,194,198,203,206,208,211,215,218,217,215,245,233,204,170,161,181,174,168,123,141,226,228,227,228,227,206,155,182,187,193,198,202,206,210,215,196,124,105,225,220,187,159,156,188,167,151,103,167,231,229,229,229,203,138,109,144,145,148,151,153,157,159,164,151,91,51,183,224,193,159,167,200,148,122,76,77,163,194,195,187,132,98,93,112,110,114,117,118,117,116,120,130,124,94,132,198,183,164,179,194,125,98,53,45,93,121,128,134,108,84,74
18,141,142,143,143,143,144,145,145,145,145,144,144,143,142,142,141,140,140,139,139,137,136,136,134,132,132,131,130,142,143,144,144,145,146,147,147,146,148,147,145,143,143,142,142,142,142,141,139,139,138,136,136,134,133,132,131,143,144,145,145,146,148,148,148,148,148,148,147,147,148,149,146,144,146,147,146,140,139,140,137,135,133,132,131,144,145,146,146,149,149,148,149,150,149,149,148,150,138,115,138,150,124,98,115,147,141,131,138,140,134,134,133,144,146,148,149,149,150,150,151,151,151,152,153,153,121,78,71,118,112,78,47,113,116,83,76,126,139,135,136,146,146,149,150,150,151,152,152,152,147,118,121,149,126,97,67,75,142,86,67,50,89,84,48,65,145,136,136,147,148,149,152,151,151,153,151,156,147,109,90,95,138,105,79,61,131,94,78,71,68,78,65,35,123,142,135,150,151,151,152,153,153,153,154,157,153,132,117,82,100,124,83,57,89,108,91,85,77,94,79,33,116,145,137,150,151,152,152,154,155,156,156,155,139,146,116,100,64,108,91,65,62,111,101,90,89,87,73,33,120,145,139,151,151,152,152,154,155,156,156,163,117,114,118,89,41,82,99,64,48,96,89,86,85,85,74,31,109,149,139,151,151,153,154,155,156,156,160,155,96,70,119,64,31,66,75,46,35,79,55,69,114,107,80,38,93,152,140,151,152,154,155,157,157,156,162,152,116,86,108,65,35,56,56,37,28,56,37,48,135,114,89,47,75,154,141,153,154,155,155,157,158,156,162,158,138,102,93,82,44,53,66,42,26,55,40,28,110,122,98,60,53,151,143,154,155,156,156,157,158,157,163,158,127,98,74,63,33,55,74,39,25,48,79,116,116,138,110,69,37,138,147,154,155,157,158,158,159,158,164,144,109,89,70,49,36,39,44,32,39,74,131,138,124,120,108,68,31,126,151,156,156,158,158,158,160,160,163,155,132,108,84,61,58,52,50,72,99,131,142,133,128,104,87,58,31,132,149,156,156,157,158,159,161,161,162,160,140,115,86,62,57,65,81,105,128,148,147,128,112,94,68,41,49,152,146,156,157,157,159,161,162,162,163,161,145,121,95,75,68,68,79,123,143,153,143,118,102,86,62,23,90,158,145,158,158,159,160,161,162,163,163,159,149,127,104,85,77,71,89,141,149,148,134,111,93,79,52,27,135,153,147,157,159,160,160,162,162,164,161,155,145,125,106,92,84,77,98,148,143,138,126,107,86,73,37,54,158,150,149,157,160,160,161,162,162,164,162,148,137,127,109,96,95,83,105,143,139,128,112,100,81,64,24,95,162,149,150,158,160,161,162,162,164,164,165,150,138,130,114,103,105,88,110,136,135,124,101,89,73,51,25,137,155,150,150,160,161,162,164,165,166,166,168,158,136,129,121,111,102,85,106,132,126,116,97,76,63,29,62,163,150,152,151,160,161,162,164,165,165,166,168,164,143,135,127,115,100,84,92,122,116,103,84,65,51,19,126,161,153,153,151,160,162,163,165,165,165,166,167,167,155,140,129,119,108,95,90,107,107,92,74,59,26,58,165,154,155,153,152,160,161,163,165,165,167,167,166,166,162,149,132,117,105,97,91,99,101,85,68,47,17,127,163,156,155,154,153,162,162,164,164,165,167,166,166,166,164,153,129,116,113,110,105,96,94,79,63,29,64,166,155,156,156,155,153,163,164,164,165,165,166,167,168,164,163,152,133,128,126,113,105,90,89,72,53,24,119,166,157,157,156,155,154
6,186,187,188,189,189,189,188,188,188,188,187,186,185,184,183,183,182,180,179,177,177,177,177,175,173,169,129,139,187,189,189,189,190,190,189,189,189,189,188,187,187,186,186,184,183,182,180,180,179,179,178,177,175,172,162,131,190,190,192,192,192,192,191,190,191,190,189,188,188,188,187,186,184,183,183,182,182,181,179,178,177,174,171,157,191,192,193,194,194,194,193,193,193,193,191,190,189,189,188,187,186,185,185,185,185,181,180,179,178,176,173,166,192,194,195,195,196,195,195,194,194,193,192,192,190,190,190,189,188,187,186,186,185,183,181,180,179,177,174,171,194,195,195,196,197,196,196,196,195,195,195,194,193,191,191,192,190,188,187,187,186,185,182,181,180,179,177,174,194,195,196,198,199,199,198,199,197,196,196,196,194,193,193,191,189,184,184,185,184,182,179,178,175,179,175,176,195,196,198,199,200,200,199,199,200,198,195,193,190,185,183,181,177,160,160,171,172,162,167,166,173,200,163,169,196,198,200,201,200,200,199,198,191,181,182,183,179,180,183,182,173,167,159,174,177,164,164,166,161,182,148,165,198,200,202,202,201,200,202,204,185,167,171,181,183,187,188,186,172,155,152,149,147,139,134,134,128,135,153,177,199,200,201,202,202,201,210,214,191,175,166,166,168,165,160,153,143,132,110,103,98,110,142,151,163,175,181,180,199,201,202,203,204,203,218,219,203,188,171,159,154,147,141,131,118,101,77,63,70,154,191,188,188,186,183,181,200,202,203,204,204,209,224,222,211,183,152,145,149,155,153,147,138,129,121,96,126,191,191,189,188,186,184,183,202,203,204,206,204,218,229,225,207,160,133,137,141,151,156,154,144,135,130,108,142,197,192,191,189,188,186,184,203,205,206,206,204,225,228,222,187,143,142,139,132,135,149,143,134,132,122,94,150,197,194,192,190,188,187,186,203,205,206,205,210,228,225,222,196,174,159,142,125,126,150,146,139,139,124,102,179,197,195,193,192,189,188,187,204,206,207,204,221,226,225,226,222,207,172,143,144,152,154,147,135,125,119,108,163,198,195,195,192,190,188,186,206,207,204,209,226,227,227,224,222,213,167,135,136,141,141,138,126,117,111,95,158,198,196,196,193,191,188,187,206,206,202,215,225,229,225,218,216,199,162,138,130,122,125,131,128,121,104,107,183,198,196,195,193,191,190,190,205,199,203,220,225,227,220,212,207,200,183,164,134,102,108,127,125,119,101,130,196,197,196,195,192,191,183,163,203,190,212,223,225,222,218,216,210,205,206,191,147,116,127,143,134,117,105,104,184,199,196,195,193,187,128,67,196,196,218,223,223,220,220,217,207,210,210,182,135,114,120,122,113,102,93,100,184,200,197,193,167,114,60,42,193,209,217,220,218,214,208,205,202,206,194,159,124,115,113,108,101,97,98,151,199,193,166,117,74,49,41,37,204,212,217,214,207,200,194,194,193,180,161,136,119,108,96,122,135,151,170,176,145,102,63,46,41,38,39,39,211,211,213,206,194,188,187,184,180,162,139,126,122,115,125,164,152,131,107,78,51,30,29,35,36,33,34,33,209,209,203,192,181,172,179,177,167,155,142,127,107,83,80,65,51,42,38,40,28,16,24,29,31,29,31,29,208,206,199,188,174,164,165,159,146,137,120,95,67,47,33,32,31,31,35,34,17,10,19,25,29,27,28,29,210,202,194,179,159,152,145,132,116,104,84,59,39,41,31,21,24,26,31,31,12,7,16,23,27,24,24,28
15,144,155,162,164,168,175,181,187,191,195,199,202,205,208,212,215,217,219,222,223,224,225,226,226,227,228,228,228,146,157,163,166,169,177,184,190,193,197,200,203,207,210,213,216,219,221,223,225,226,226,226,228,228,229,229,229,147,158,165,167,170,178,185,190,195,199,200,204,208,212,214,217,221,223,225,226,227,228,229,229,229,231,230,230,148,158,166,167,172,179,186,191,195,199,202,207,209,212,215,219,222,224,226,227,228,229,229,230,231,233,232,232,149,160,167,168,174,181,188,193,198,202,204,208,211,213,217,220,222,225,227,228,229,230,231,232,233,233,234,234,151,161,168,170,175,182,188,194,199,203,205,208,211,214,219,221,224,226,227,227,229,231,232,233,234,234,234,235,153,163,169,170,177,184,190,195,200,205,207,212,218,222,224,227,229,230,233,235,238,238,233,233,233,233,234,235,154,165,170,171,177,186,191,196,200,202,201,192,185,191,197,203,208,208,200,193,194,213,231,240,241,241,240,237,155,164,170,175,179,184,184,181,181,183,177,168,164,161,163,165,173,181,172,168,154,143,154,169,191,212,230,240,156,166,175,183,180,185,178,162,161,156,144,155,172,172,168,156,172,193,186,185,172,156,148,134,122,124,137,162,158,168,174,158,140,138,122,104,110,109,105,111,123,123,117,118,158,170,170,168,158,158,164,154,140,128,121,125,159,169,173,172,164,149,144,156,174,187,196,191,183,173,161,138,152,153,159,140,143,152,177,162,148,134,128,136,160,168,172,177,187,194,201,207,209,211,216,220,223,232,219,180,170,151,140,124,142,165,188,170,160,146,139,148,160,168,172,176,183,190,195,200,204,208,212,215,219,216,189,196,164,107,117,87,153,201,192,173,171,159,151,152,160,168,171,175,183,190,195,200,204,207,211,215,219,205,190,171,157,82,86,71,173,213,195,170,171,162,153,146,162,169,171,175,183,190,196,201,204,208,212,217,211,203,202,155,106,76,88,61,168,218,191,167,154,147,141,130,162,169,172,177,184,191,198,201,204,207,212,216,215,186,204,182,103,79,86,69,173,204,187,159,135,128,117,114,162,170,173,177,185,192,197,201,205,209,212,216,223,210,198,201,151,98,133,181,186,181,182,146,122,115,106,113,162,170,173,177,184,191,197,201,206,209,214,217,219,227,209,200,185,176,182,173,166,156,133,106,100,94,99,103,162,169,171,177,185,191,197,200,205,210,213,216,220,226,211,186,192,174,136,141,127,108,112,158,152,153,172,194,163,170,172,179,187,193,199,205,210,215,218,221,224,204,169,158,164,149,119,108,94,81,86,210,255,247,250,248,136,141,145,148,153,156,164,167,170,176,182,184,202,190,160,138,119,118,101,84,85,79,83,134,248,235,241,243,124,125,124,127,130,128,126,126,128,128,131,127,154,172,126,103,94,112,124,105,103,127,118,130,160,161,165,170,131,132,134,135,136,138,137,137,140,142,142,141,144,140,114,121,133,142,144,143,141,143,144,140,137,138,137,137,130,130,132,133,135,135,136,137,137,139,139,141,141,138,145,151,147,144,142,143,144,143,142,144,145,146,146,146,131,133,134,134,135,136,136,137,137,138,138,138,141,140,142,144,145,148,144,143,142,142,145,146,145,146,147,148,131,132,135,136,137,138,137,139,139,139,139,140,142,142,141,141,141,144,144,142,142,143,144,145,145,146,147,148,130,131,134,136,137,137,138,139,139,140,140,141,141,142,143,142,141,143,143,144,143,143,144,145,144,144,147,146
5,186,188,187,188,190,191,192,192,193,193,194,194,192,194,198,194,194,194,192,192,191,189,187,187,187,185,183,183,190,190,191,192,194,195,196,195,196,197,198,197,198,196,180,196,196,196,196,195,194,193,191,190,189,188,188,186,195,195,196,196,198,199,200,199,201,203,202,205,202,211,139,178,206,200,200,199,197,196,196,194,194,192,191,188,198,199,200,201,202,202,203,203,206,206,204,174,192,227,144,155,215,203,204,202,202,201,200,198,197,196,195,193,202,203,205,205,206,207,207,209,210,207,217,158,155,236,143,136,221,206,207,206,205,204,203,203,202,199,198,196,205,206,208,207,210,213,213,212,213,209,228,175,140,235,138,135,225,209,211,210,208,207,206,206,205,203,202,199,209,208,211,212,213,214,209,214,216,213,233,181,128,233,151,143,227,212,215,215,212,210,209,208,208,207,204,203,212,213,214,216,215,220,181,178,226,213,235,189,128,228,145,151,230,216,219,219,223,216,212,212,212,209,208,207,216,217,218,219,217,228,189,141,227,216,237,193,120,221,131,157,232,219,220,210,184,213,217,214,213,212,212,211,218,220,220,221,220,232,210,120,224,222,234,188,104,223,154,159,234,219,225,216,157,170,230,218,217,216,215,214,219,221,222,222,224,229,210,118,221,226,228,204,110,201,169,160,234,214,205,192,215,173,197,222,220,219,218,215,221,223,224,225,228,229,234,130,201,232,223,217,111,163,176,168,229,222,178,101,195,190,149,224,224,221,219,219,225,225,227,228,228,230,239,167,167,236,225,221,114,150,175,170,221,220,169,160,216,157,177,234,225,223,221,219,227,228,229,228,231,229,224,229,184,196,218,204,148,166,161,147,194,194,162,225,209,133,221,229,226,225,223,222,227,230,230,231,232,235,217,236,220,179,182,180,156,159,152,149,197,187,175,234,178,127,237,228,229,227,226,226,230,233,233,234,233,237,230,232,245,203,172,170,144,149,149,151,192,184,193,243,144,131,245,230,231,230,229,228,232,233,234,236,237,237,238,234,255,226,159,154,134,131,145,156,188,177,196,247,141,157,249,231,232,232,230,229,232,234,236,236,236,237,237,238,255,234,163,126,129,127,141,174,195,165,189,245,150,171,248,232,234,235,233,229,234,235,236,237,238,238,238,239,255,230,172,126,128,127,164,184,210,212,182,230,153,177,249,233,236,235,234,231,236,236,237,239,241,241,241,236,255,226,175,130,121,141,179,199,225,230,191,191,130,173,252,236,236,235,234,234,235,237,238,241,242,242,244,235,255,229,183,132,122,151,196,220,222,222,194,144,94,162,254,237,239,237,235,235,237,239,240,242,242,243,246,236,250,231,184,136,124,150,209,233,229,208,166,114,80,200,250,239,242,239,236,236,239,241,242,242,243,245,246,238,239,230,182,140,132,146,221,238,215,185,147,87,148,254,241,243,243,241,237,236,240,242,242,243,243,245,248,233,224,227,181,152,140,146,217,218,197,168,120,103,240,250,243,243,243,242,239,237,239,240,242,243,244,245,250,235,219,217,174,165,140,146,200,204,187,150,83,181,255,245,246,245,244,243,241,237,238,240,241,242,243,244,246,238,215,207,176,166,134,143,187,189,164,97,120,253,248,248,245,245,244,243,242,240,238,240,242,243,243,244,248,236,222,211,177,163,140,126,167,151,111,97,229,252,246,247,244,245,243,243,241,240,239,241,243,243,243,245,250,231,226,202,157,153,139,119,144,114,84,198,255,246,249,247,246,247,243,242,241,239
24,96,108,121,130,138,142,143,149,156,160,163,167,169,170,175,177,178,180,182,183,184,184,183,183,183,183,182,181,96,110,123,132,140,143,145,151,158,162,165,169,171,173,177,178,180,182,184,185,185,186,186,185,186,185,185,185,97,111,124,134,141,146,146,154,159,164,167,171,174,177,179,180,182,184,185,186,187,188,188,186,186,186,187,186,99,113,125,137,143,143,151,156,161,165,169,173,176,179,181,183,184,186,187,188,188,189,190,189,188,188,188,187,99,114,126,138,143,175,143,152,165,167,171,174,178,180,183,185,186,188,189,191,191,192,191,191,191,190,190,190,100,115,127,137,150,192,118,127,171,168,172,176,179,182,184,186,189,189,191,192,193,193,192,192,192,193,193,192,101,115,129,139,147,169,112,102,169,170,175,179,181,186,187,189,191,196,195,195,196,193,195,194,193,193,193,193,101,117,130,141,144,171,125,84,157,177,176,183,183,183,186,199,200,166,185,200,196,197,197,196,196,195,195,194,102,118,131,143,148,159,147,95,123,180,175,166,191,188,135,181,215,156,114,191,201,198,198,199,198,197,198,197,104,119,133,143,152,154,174,117,89,167,198,147,191,206,120,154,205,153,93,128,209,200,200,199,199,200,199,198,104,120,133,145,153,153,168,141,111,168,227,171,208,215,133,190,189,115,88,94,194,204,201,200,200,201,201,201,106,121,134,146,154,156,163,185,139,171,243,176,200,212,127,199,179,93,77,84,158,214,200,203,204,204,199,190,107,123,135,146,155,158,161,179,164,193,234,168,180,212,129,206,186,91,79,91,119,216,203,206,204,198,188,168,108,124,136,148,156,159,160,179,227,199,214,181,162,200,131,220,188,77,74,91,82,192,214,202,203,204,173,128,109,124,138,150,157,161,161,187,214,173,182,168,125,178,136,231,156,59,84,101,90,130,201,194,208,184,127,96,111,126,140,151,158,162,163,184,233,195,172,156,114,163,137,107,67,81,95,117,143,154,177,184,171,119,95,176,112,128,141,152,158,162,164,181,236,211,172,152,161,164,184,108,114,175,169,178,176,168,160,149,107,112,198,217,112,128,142,153,160,162,165,178,230,217,191,162,156,164,195,199,225,217,204,190,171,146,130,101,108,209,217,210,113,129,143,153,160,162,167,177,228,219,187,163,174,213,231,236,220,205,192,176,149,123,93,98,203,219,212,213,113,130,143,153,160,162,168,174,221,221,194,180,186,216,235,234,217,195,178,152,123,86,104,200,222,214,216,214,115,130,143,154,161,163,169,172,208,225,204,190,180,213,234,227,210,183,157,130,85,130,216,221,216,218,217,216,115,131,143,155,162,164,170,175,197,224,205,180,167,207,214,203,192,169,140,87,138,228,221,218,219,219,218,217,114,130,142,155,162,163,169,175,192,215,185,161,166,206,197,177,160,136,87,132,227,220,218,220,220,220,218,217,114,130,143,154,160,162,167,175,188,208,183,176,180,206,190,158,135,91,95,218,221,218,219,219,218,218,218,218,114,130,143,154,161,162,169,177,188,229,209,196,189,201,181,141,122,78,160,225,216,219,220,220,220,219,220,219,113,129,144,155,161,162,169,178,186,236,225,202,183,196,165,132,111,85,192,223,219,220,222,221,221,221,220,220,113,129,143,154,161,163,169,177,184,218,208,188,180,196,159,142,94,89,205,222,220,221,221,221,220,221,221,221,111,128,142,154,160,163,169,175,187,212,191,167,175,186,155,134,76,91,213,221,221,221,221,221,221,221,222,221
19,166,169,171,171,171,174,174,173,174,175,175,175,174,175,173,171,176,174,169,170,170,169,169,169,167,167,166,166,169,170,172,172,173,175,176,175,176,177,177,177,177,175,175,168,136,156,176,171,172,171,171,170,169,168,167,167,170,171,173,175,175,176,178,178,178,177,178,179,179,175,189,165,114,99,179,174,174,173,172,171,170,169,169,168,171,172,174,177,178,178,179,180,180,178,178,180,178,180,198,166,131,84,169,177,175,175,174,175,171,170,171,171,172,175,177,178,179,180,180,181,181,180,181,182,179,186,195,161,126,78,168,180,176,177,174,172,175,172,171,172,173,176,178,178,180,182,183,182,181,181,181,183,178,191,190,140,107,72,166,176,172,168,172,194,159,170,174,174,175,177,179,180,181,184,183,183,183,183,183,182,178,189,185,147,141,154,180,168,178,174,186,225,122,162,177,174,176,178,181,184,183,184,184,184,184,184,182,186,189,188,179,177,185,201,193,173,172,173,149,126,127,178,176,176,178,179,182,184,185,187,185,184,182,190,198,209,212,201,181,159,153,145,142,121,111,111,119,142,177,177,176,177,181,182,183,184,187,186,189,192,192,206,210,207,197,183,177,173,163,97,97,127,152,165,182,187,180,180,179,177,183,183,185,187,186,193,210,201,199,194,196,195,192,192,189,188,177,97,134,198,187,186,182,181,181,180,180,178,184,184,185,188,184,203,218,205,196,195,202,204,207,198,189,182,152,87,108,195,181,184,184,182,182,182,181,179,185,185,188,191,187,202,214,193,187,198,207,209,197,187,189,191,173,91,76,185,185,184,183,182,182,183,182,180,185,187,189,191,189,204,203,186,188,192,185,185,191,200,190,192,184,99,59,150,193,183,185,184,182,183,182,182,187,189,190,192,192,209,188,190,191,181,169,195,199,188,181,180,153,94,57,123,198,185,186,185,184,183,183,183,189,189,191,193,194,202,198,202,199,201,205,206,193,184,176,163,132,85,56,102,199,187,188,187,186,184,185,183,189,191,192,195,195,195,220,209,200,201,202,191,176,168,181,193,185,108,45,131,200,188,189,188,186,185,185,185,191,192,194,196,198,193,216,214,194,188,171,138,165,203,200,186,185,115,73,189,193,191,190,190,188,188,187,186,191,194,197,196,199,194,198,207,192,187,176,184,207,198,175,162,153,100,68,181,195,192,192,191,191,190,189,187,191,194,197,198,199,197,194,203,213,205,197,200,193,176,164,149,128,78,76,191,194,192,193,192,192,191,189,188,194,196,197,199,200,200,196,199,213,199,182,186,177,162,138,103,73,82,171,199,193,194,193,193,193,192,191,190,195,198,198,199,202,203,192,200,202,191,172,166,143,120,90,63,46,159,209,194,195,194,194,195,193,192,192,191,195,198,199,201,202,204,193,197,197,183,161,147,129,102,77,64,102,207,195,198,197,196,196,196,194,192,192,191,195,198,200,203,203,204,194,187,193,178,152,141,139,102,77,66,116,211,197,199,199,198,198,197,196,194,193,192,195,198,200,203,203,206,194,182,183,176,148,131,105,85,78,72,79,200,202,199,199,199,198,198,197,195,194,192,195,197,199,201,202,206,192,181,173,175,163,142,108,88,81,72,77,196,201,198,199,197,197,197,196,194,191,190,196,198,200,201,202,206,185,184,180,170,157,144,112,89,81,70,86,202,199,199,199,197,197,196,196,194,193,191,196,198,200,202,203,208,179,193,199,186,153,123,99,82,79,63,130,209,198,199,199,198,198,198,197,195,193,192
3,167,169,170,170,170,171,171,171,171,171,171,171,170,169,167,166,164,156,164,161,161,160,158,157,154,152,150,149,171,173,173,173,173,173,174,174,174,174,175,175,173,172,171,170,173,116,145,168,165,162,161,160,158,156,153,152,174,176,177,177,177,178,178,178,178,178,179,179,178,177,175,175,164,100,116,175,168,166,165,164,162,160,157,155,179,180,181,180,181,181,182,183,183,182,181,181,181,181,179,178,163,96,96,177,172,170,169,167,165,163,161,159,183,184,184,185,186,186,186,187,187,186,185,185,184,183,183,182,162,93,89,179,175,173,172,171,169,166,164,162,186,187,187,187,188,190,189,189,189,189,188,188,188,187,186,185,163,99,85,179,178,176,175,174,172,170,166,164,189,190,191,191,191,192,192,193,192,192,193,191,192,190,188,188,172,104,79,180,182,179,177,175,175,173,170,168,192,193,194,194,194,195,195,195,195,195,195,195,194,193,192,189,168,93,80,184,184,182,180,178,178,176,173,171,194,196,197,197,197,197,197,196,196,196,197,197,197,197,195,188,159,106,87,176,187,184,183,181,180,178,176,173,196,196,197,199,199,200,200,199,199,199,200,200,199,199,197,192,173,131,84,161,192,187,186,184,183,181,178,175,197,199,199,200,200,201,202,202,202,202,202,202,201,200,200,194,177,129,74,147,196,189,187,187,184,182,180,177,200,200,201,201,201,202,203,203,203,203,203,204,202,202,200,196,185,132,78,122,201,190,189,189,187,185,182,180,202,202,202,203,202,203,204,205,205,204,205,206,206,200,182,170,161,156,112,142,179,198,192,189,188,186,183,180,203,203,203,204,204,205,206,207,207,207,208,207,198,189,180,131,90,141,151,180,113,165,197,192,190,188,186,182,204,204,205,206,207,207,207,207,208,209,202,183,136,147,179,128,85,99,153,155,83,61,137,197,192,190,187,185,206,206,207,208,209,209,209,209,210,203,190,173,125,99,145,154,108,78,128,137,89,61,67,186,196,191,189,187,206,207,207,208,209,210,209,211,209,193,178,153,144,126,109,162,120,70,78,100,103,69,58,175,198,193,191,188,207,208,208,209,210,210,210,211,205,184,151,110,129,129,92,129,128,76,63,83,122,81,54,163,200,194,191,190,206,208,208,209,211,212,213,214,209,184,164,109,76,106,58,87,120,65,65,83,129,112,57,141,203,195,193,191,206,207,208,209,211,212,213,213,214,187,157,128,96,76,57,81,86,50,78,122,144,128,63,145,204,197,195,192,207,208,209,209,210,211,212,213,216,188,168,159,123,85,84,103,96,87,150,159,143,99,80,191,199,196,194,191,208,209,209,210,211,212,212,213,215,195,162,160,135,104,97,118,165,172,180,148,113,67,138,205,196,195,195,195,208,208,209,211,212,213,213,213,216,205,159,157,139,112,99,107,172,172,156,124,84,66,184,205,203,200,180,146,211,211,212,213,214,214,216,216,217,218,167,139,131,112,105,102,153,155,134,97,61,116,207,185,159,122,76,55,169,174,178,182,187,191,195,198,201,204,189,135,130,122,117,98,124,133,110,69,75,145,106,72,53,45,42,45,101,102,103,104,105,108,109,109,109,110,120,154,132,127,111,88,88,88,65,52,73,65,46,39,43,37,37,35,106,106,107,108,106,107,113,111,110,109,130,176,158,130,100,83,81,79,57,56,58,51,50,34,38,31,30,29,107,108,108,109,108,108,115,113,114,112,145,164,163,138,115,102,90,77,53,55,51,47,40,41,27,27,25,28
22,126,133,138,143,150,156,162,166,170,174,176,177,178,180,181,181,179,178,179,178,177,176,175,174,173,173,171,169,128,135,140,145,152,159,164,167,170,174,176,178,181,182,183,184,182,182,182,179,179,178,176,176,175,175,172,171,130,139,141,146,154,162,165,169,173,175,177,181,182,183,182,180,183,183,182,183,181,178,180,177,177,176,174,173,131,139,142,148,156,162,167,172,173,174,179,183,182,185,184,227,137,169,186,181,189,190,160,181,178,177,176,174,132,140,144,149,158,165,169,172,178,233,136,174,189,185,192,243,114,153,194,177,217,184,120,187,179,178,177,176,135,140,143,151,160,167,171,173,182,246,127,164,193,184,200,230,121,152,195,180,227,154,125,190,179,180,179,178,137,142,144,153,161,169,173,177,177,239,153,150,198,184,207,238,134,156,195,193,227,139,131,193,181,182,180,179,137,144,148,156,163,169,175,180,176,251,191,140,200,186,212,238,140,159,193,211,237,132,148,194,184,184,183,181,138,145,149,158,166,172,175,182,175,244,223,137,196,190,216,227,140,157,195,235,230,128,164,194,186,186,185,182,139,147,151,158,166,173,178,186,177,234,242,134,183,193,222,232,144,151,205,248,203,113,176,194,187,187,186,184,141,149,153,160,167,176,182,187,179,220,255,174,162,197,229,241,147,153,233,251,173,107,190,194,190,189,187,185,143,150,154,162,170,177,184,183,203,222,190,181,151,201,229,231,134,173,255,238,147,128,202,193,191,190,189,186,145,150,155,164,174,178,186,182,255,255,216,175,112,185,216,209,191,223,254,222,120,162,204,194,194,192,191,190,145,152,157,166,176,182,187,190,255,255,255,192,102,106,180,199,226,219,208,174,115,195,202,198,196,195,193,191,147,153,158,168,177,184,188,200,253,237,225,233,175,120,116,153,194,197,185,120,134,211,200,201,200,197,195,193,147,154,159,170,178,185,187,204,255,234,203,251,249,185,109,91,149,180,168,102,147,213,201,202,201,200,197,194,148,154,159,170,180,186,185,220,255,217,186,185,254,231,168,96,94,144,156,107,164,215,204,204,203,202,200,197,149,155,160,172,182,189,185,234,255,213,161,127,189,244,220,159,90,93,119,99,190,214,207,207,206,204,202,200,149,156,160,171,181,190,187,246,255,217,150,178,160,231,255,215,151,86,80,103,208,212,209,208,205,206,203,201,150,155,160,171,180,189,187,247,255,220,144,191,189,255,255,235,193,136,81,113,219,209,210,208,206,205,202,201,150,155,160,172,183,190,188,245,255,208,159,193,221,255,255,233,209,146,75,125,224,209,210,211,208,206,204,202,149,155,161,173,184,192,189,242,255,195,184,186,249,255,255,226,181,130,75,140,225,212,213,211,210,208,205,203,148,154,161,172,182,192,190,235,255,196,203,183,255,255,255,229,158,109,81,165,223,212,212,208,207,206,204,202,150,156,163,173,184,195,195,231,255,211,216,185,255,255,252,214,148,101,88,203,228,221,220,217,217,214,213,213,129,133,137,141,143,147,143,173,255,235,226,197,255,252,235,187,132,101,94,144,147,144,145,144,144,145,137,126,103,103,104,105,103,102,98,115,255,245,225,190,251,236,195,158,120,102,95,90,87,86,86,84,85,71,81,151,113,113,114,115,113,114,113,121,254,227,206,181,208,209,166,142,128,109,98,103,102,101,98,101,99,132,222,232,113,114,114,113,112,113,112,110,222,199,180,170,174,190,175,144,131,111,101,103,101,101,100,93,156,243,229,192
7,200,200,200,200,199,200,200,200,199,199,197,196,190,178,189,189,176,162,150,142,128,113,98,74,55,41,80,151,201,202,202,202,201,201,201,201,201,201,200,198,195,187,191,192,178,159,137,122,104,85,69,53,43,39,86,156,203,203,204,204,204,204,204,204,204,203,202,201,198,191,193,193,183,166,140,116,90,67,50,39,36,42,90,159,205,205,206,206,206,206,207,207,206,205,203,202,198,192,193,193,187,181,172,156,133,98,64,46,44,48,92,160,206,206,206,206,207,207,208,208,207,206,205,199,175,176,193,193,188,187,187,181,170,131,82,59,55,54,93,161,208,207,207,207,207,208,208,208,208,208,207,189,148,160,192,194,190,189,190,184,176,134,78,64,62,60,87,149,209,209,209,209,209,209,209,209,209,209,207,180,163,189,186,183,187,185,188,183,168,124,77,69,69,64,61,94,212,211,211,211,211,212,212,211,210,209,205,190,205,223,193,163,171,177,180,174,156,117,82,73,73,65,46,55,213,213,213,213,213,213,211,204,196,188,186,198,213,217,209,175,152,158,167,165,151,122,92,80,78,66,45,58,214,214,213,212,208,199,188,177,167,151,127,124,142,160,167,155,136,130,138,145,142,123,98,87,81,68,67,112,211,208,201,192,182,173,168,162,156,139,105,87,98,114,120,118,118,115,107,108,114,109,99,92,83,71,92,142,188,182,175,169,167,167,164,161,154,133,103,88,91,99,106,109,112,110,98,90,95,93,95,94,91,85,112,124,171,171,171,169,169,170,170,169,160,138,105,87,91,100,105,106,109,106,95,88,89,92,96,99,111,109,126,97,174,173,173,172,172,174,174,171,162,140,102,83,91,102,110,110,109,106,99,92,90,97,95,96,106,107,102,64,175,175,176,176,174,172,171,166,156,129,93,84,90,95,99,101,101,100,97,92,92,100,96,93,94,102,105,86,180,179,177,175,173,173,170,165,158,127,85,73,73,73,79,84,89,96,98,95,92,91,89,87,86,93,100,92,179,179,176,174,173,173,167,165,165,136,84,65,63,63,79,90,94,121,134,115,104,86,84,88,79,77,76,70,171,172,173,170,168,166,161,164,161,128,84,67,67,66,70,81,101,122,123,103,93,96,103,89,57,59,75,69,162,163,166,164,161,158,157,158,149,114,78,69,70,70,67,82,133,138,109,87,85,109,124,69,33,42,84,102,157,157,157,159,157,155,154,155,146,106,69,58,65,72,69,90,121,100,93,81,82,103,98,51,53,58,90,128,154,153,151,153,153,152,152,151,142,102,65,50,54,65,64,76,92,77,81,78,79,86,87,78,79,78,99,131,150,146,139,137,136,135,136,133,119,90,66,61,66,72,71,77,100,90,108,97,83,80,100,84,69,72,94,122,136,135,125,115,110,109,108,103,93,89,89,105,102,90,90,84,94,99,116,81,63,60,95,90,72,74,76,96,118,119,113,104,99,102,106,106,122,150,157,156,138,121,112,93,74,76,99,70,62,52,78,92,74,76,66,74,114,114,131,140,141,146,161,148,158,170,173,162,163,172,163,112,76,73,85,79,64,69,103,86,71,78,64,67,139,127,177,203,195,181,182,141,157,156,169,176,175,178,179,136,88,102,92,76,62,106,154,109,82,89,73,64,144,132,175,205,206,194,178,128,138,137,160,175,172,170,172,155,128,145,137,95,59,120,160,125,117,133,100,69,133,138,180,205,213,208,183,137,111,121,156,169,163,151,154,159,158,157,155,113,65,117,146,126,141,159,127,82
5,164,164,166,167,170,170,171,171,171,171,170,170,171,169,169,168,168,167,166,165,163,162,161,159,159,158,157,156,166,167,168,170,172,172,172,173,172,172,172,171,171,171,171,170,170,169,167,166,164,164,163,162,161,159,158,157,167,169,171,172,173,174,174,174,175,174,174,179,146,163,173,172,172,171,170,168,166,166,165,164,163,161,160,159,170,171,172,174,175,176,176,176,178,176,179,184,121,142,175,174,173,172,171,169,169,167,167,166,164,164,163,161,172,172,173,175,176,182,175,150,179,178,186,178,107,143,177,176,175,173,172,172,171,170,169,167,166,165,163,161,173,174,175,178,178,192,158,117,177,179,186,158,100,160,180,178,177,176,175,172,172,172,171,170,169,168,165,163,174,176,178,178,183,194,128,119,181,181,176,141,106,175,181,180,178,177,181,151,159,175,173,172,171,169,167,166,176,177,180,180,192,176,99,154,186,175,157,123,117,180,182,178,177,184,168,117,142,178,176,174,172,171,169,168,178,179,181,182,205,170,100,175,186,162,142,102,139,182,170,169,167,150,115,118,167,179,178,176,174,172,170,169,180,181,182,186,215,159,101,179,181,155,131,93,157,148,154,164,126,100,131,169,180,179,179,178,175,173,172,171,181,183,185,191,212,140,101,183,165,156,134,98,116,115,130,122,102,143,182,182,181,180,179,178,177,174,173,172,182,185,187,190,209,179,107,152,145,144,117,87,90,98,87,110,155,183,186,184,182,181,180,180,179,177,174,172,185,188,190,191,207,199,132,105,113,117,93,79,96,91,108,175,188,187,186,185,183,182,181,181,180,179,176,174,187,189,191,192,201,205,170,125,106,105,85,76,97,102,162,192,189,188,187,187,185,184,183,182,181,180,177,175,190,191,193,194,198,223,203,153,106,92,88,86,92,147,182,175,177,188,190,188,188,187,185,183,182,181,179,177,191,193,195,196,200,225,204,150,100,83,81,91,96,131,140,148,156,161,171,177,182,185,186,185,184,182,180,179,193,194,196,198,205,223,196,142,91,76,76,91,99,111,138,146,171,170,169,174,173,145,175,188,185,183,182,180,195,196,198,198,214,223,202,149,96,72,72,89,98,97,114,102,135,155,155,166,163,128,160,191,186,185,183,181,196,198,200,201,223,219,199,144,100,74,70,81,82,84,106,114,161,166,154,169,183,143,145,190,188,186,184,182,197,200,199,211,223,212,195,141,99,71,64,72,74,138,189,193,200,195,188,191,156,119,177,192,190,188,185,183,199,201,202,223,219,212,191,139,92,69,67,81,90,110,171,204,192,170,169,167,104,143,196,193,192,190,188,186,200,201,210,228,216,209,182,123,85,67,79,89,99,106,117,152,162,171,161,126,77,170,198,195,193,191,189,187,201,192,218,225,212,205,167,111,84,75,99,115,123,119,109,122,152,159,138,93,104,189,199,197,195,193,191,189,187,114,141,203,214,192,153,109,86,89,112,125,126,115,110,111,134,123,102,130,185,200,201,199,196,194,192,190,119,75,72,107,170,175,144,113,86,94,118,117,111,97,102,92,88,110,165,200,203,202,202,200,196,194,193,191,80,71,67,66,78,108,118,91,72,80,102,102,93,83,83,80,125,190,207,206,205,203,202,200,198,196,194,193,78,67,62,63,61,60,50,42,44,53,67,75,72,73,127,179,206,209,208,208,207,206,203,201,199,196,194,194,69,62,60,59,55,57,35,23,30,32,36,41,61,140,206,213,212,211,210,209,208,206,204,201,200,197,195,195
8,131,133,134,134,134,135,135,136,136,135,134,134,134,132,131,131,131,129,129,128,128,126,124,123,123,120,119,118,133,134,135,135,135,136,137,138,137,138,137,135,135,134,133,133,132,131,130,128,128,128,127,125,124,122,120,119,135,134,136,137,137,141,140,139,138,139,139,137,137,137,135,135,134,133,132,130,129,128,128,126,126,124,121,120,135,136,137,142,128,97,139,141,140,140,140,139,139,138,137,136,135,135,134,133,131,130,130,128,127,124,122,120,136,138,137,143,114,56,121,146,140,141,141,141,140,140,140,138,136,135,135,134,132,132,131,130,128,127,124,122,138,139,140,141,92,52,122,149,143,143,142,142,141,140,140,140,140,140,137,136,137,133,132,130,128,128,127,125,139,140,143,139,83,51,137,147,145,145,146,144,142,142,141,140,134,125,138,136,125,135,133,132,130,129,128,127,140,141,143,134,70,54,147,146,147,148,138,146,147,145,147,146,110,74,71,123,87,123,137,132,131,129,128,127,141,142,144,140,76,51,143,149,148,123,86,88,143,120,98,110,112,90,48,81,79,99,144,133,133,131,130,128,142,144,146,142,86,47,137,153,136,112,101,69,89,103,72,52,103,103,69,43,78,72,142,135,135,134,131,129,142,145,147,138,83,40,114,158,128,125,115,87,68,104,80,58,103,101,70,34,63,51,100,144,134,133,132,130,143,146,147,142,112,71,85,160,122,125,126,95,60,95,97,64,91,85,52,29,50,70,49,123,139,134,132,131,144,146,147,147,135,93,68,138,114,110,131,100,59,80,107,62,66,87,66,28,42,75,40,102,144,133,133,132,144,147,148,150,138,93,90,106,101,88,126,97,64,57,97,66,53,108,89,40,55,78,42,124,141,134,134,133,145,147,149,150,147,128,123,97,101,79,105,101,59,42,88,76,37,98,87,34,73,72,53,142,139,137,135,133,146,147,149,150,152,142,120,92,74,73,93,98,64,41,57,56,14,25,37,48,86,59,73,149,139,138,135,134,146,147,150,150,153,143,103,80,61,53,66,105,95,59,30,26,58,66,63,102,96,45,96,151,139,139,136,134,146,148,151,151,153,141,117,98,72,62,60,104,107,70,46,69,111,114,101,94,87,35,116,149,139,139,137,136,147,149,151,153,152,151,132,105,72,60,57,92,94,66,53,102,117,114,104,70,59,39,139,143,140,140,139,138,147,150,153,153,153,148,136,107,81,69,60,79,111,108,111,130,120,105,93,63,30,87,153,141,141,140,139,138,149,152,153,153,153,146,138,115,93,74,65,80,134,141,143,135,113,94,84,48,39,144,147,144,142,141,140,139,150,152,154,154,154,144,133,116,94,73,71,90,140,134,129,121,100,84,74,29,96,156,144,145,143,141,140,139,151,151,153,154,155,141,127,120,98,76,78,98,133,126,124,111,90,78,55,41,147,149,147,145,144,142,140,139,151,153,155,154,158,146,130,126,99,84,79,102,125,126,120,100,81,70,31,97,160,145,146,146,145,144,141,139,150,152,154,155,156,155,137,131,108,92,76,99,120,115,109,90,71,49,41,151,152,149,147,147,145,144,142,140,151,153,154,155,156,156,147,133,110,93,78,91,110,102,92,74,57,22,110,161,150,150,148,147,146,144,141,140,151,153,154,155,157,157,149,129,110,91,82,86,100,93,77,64,28,79,164,152,153,150,149,147,146,144,142,141,151,153,154,156,157,157,149,125,108,94,90,86,92,89,72,49,44,153,156,154,153,152,149,147,146,145,143,142
10,85,93,106,113,117,122,125,129,132,134,136,139,139,140,142,144,149,149,150,150,152,155,156,157,157,157,159,160,86,95,107,114,118,123,126,128,134,135,136,139,141,142,143,146,130,147,152,153,155,156,156,157,158,159,160,161,88,97,109,114,118,124,127,129,134,137,138,140,143,144,149,161,104,129,157,152,156,158,159,159,161,162,162,162,90,100,112,116,120,124,128,131,135,137,139,141,144,144,155,167,110,110,159,153,157,158,159,161,161,163,164,163,92,101,112,117,122,125,129,133,136,138,140,143,145,145,154,166,122,100,158,154,159,161,161,162,163,165,165,166,91,103,115,118,121,127,131,133,135,138,141,142,147,149,149,167,136,98,153,158,159,162,163,163,165,166,166,167,93,103,115,118,123,129,132,133,137,140,140,153,129,133,154,173,152,99,141,163,159,161,162,163,165,166,166,168,95,106,115,120,125,130,133,135,138,139,141,160,127,85,151,170,156,106,121,167,159,162,163,164,166,167,168,169,97,109,116,120,126,130,133,139,144,142,152,148,124,68,130,168,152,108,109,168,161,164,164,167,167,168,169,169,98,110,118,121,124,137,133,123,119,119,141,163,136,91,102,172,137,107,99,167,162,165,165,167,169,169,170,170,98,109,117,122,122,144,119,83,69,68,70,142,156,108,73,155,117,105,91,164,164,166,167,169,170,171,171,171,100,112,118,123,126,128,107,79,60,76,74,100,159,125,73,131,96,101,85,158,166,167,169,170,171,172,172,172,101,112,117,121,127,132,131,126,115,91,74,83,157,138,83,99,78,96,78,149,171,167,169,170,172,173,173,173,101,112,118,124,128,134,133,160,173,109,53,104,167,145,94,63,73,92,81,135,174,169,171,170,171,172,173,173,104,114,118,124,131,133,131,162,167,114,47,96,184,144,106,61,71,92,81,116,177,169,171,171,173,173,173,173,104,115,119,126,127,145,157,158,175,125,37,103,197,142,112,68,70,88,80,99,177,170,172,172,174,175,175,175,106,116,119,126,123,157,176,153,167,123,42,146,181,143,105,69,60,81,76,84,176,171,172,173,173,176,176,176,107,117,120,126,127,141,174,148,156,118,117,191,156,146,106,71,63,77,66,99,180,169,172,173,175,175,175,176,106,116,120,125,130,133,148,128,138,141,179,187,154,139,113,76,66,73,59,140,177,171,174,174,176,176,176,177,107,116,119,125,130,132,147,124,141,180,194,181,156,130,109,81,68,63,72,168,171,172,174,175,176,177,178,178,109,117,120,124,131,132,159,162,134,170,195,172,151,128,107,82,69,54,102,179,169,172,174,175,176,176,177,177,110,117,120,124,132,129,170,179,134,146,194,171,152,124,108,84,68,52,135,177,170,172,173,176,177,177,177,177,111,116,122,127,133,131,175,183,153,169,187,169,152,125,108,88,65,66,166,170,171,173,175,177,176,177,178,178,110,116,121,127,132,132,184,193,162,174,184,169,154,128,110,91,56,100,179,168,172,174,176,178,177,177,178,179,110,116,121,127,133,131,182,189,169,173,176,175,165,130,109,89,55,136,176,169,172,174,175,176,178,178,179,180,112,115,121,127,132,131,175,181,162,174,171,176,171,135,107,82,66,164,171,171,173,174,175,176,178,178,179,179,111,115,121,128,132,134,164,167,163,174,173,176,168,132,106,70,99,177,169,172,173,175,177,178,178,178,179,180,111,117,123,128,132,135,153,165,174,182,170,171,163,129,102,65,137,176,169,171,174,176,177,178,178,178,179,180
0,153,155,159,161,163,165,167,169,169,170,170,170,170,170,170,171,171,170,169,169,169,168,168,168,168,168,164,163,154,156,160,162,164,167,169,171,171,172,173,173,174,172,172,173,172,172,171,171,170,170,169,169,169,169,167,165,155,158,161,164,166,169,171,171,171,173,174,175,176,174,175,176,175,173,174,173,171,171,171,170,168,168,168,167,159,160,163,165,168,170,172,173,173,175,177,177,178,181,176,176,177,179,175,172,172,173,173,171,172,170,169,169,159,163,165,166,170,172,174,174,177,180,180,174,171,157,175,178,145,143,178,178,175,173,175,174,173,172,170,170,161,164,165,168,172,173,175,175,180,166,167,204,169,108,105,186,142,70,139,171,166,155,133,179,174,173,171,171,163,166,166,170,173,174,176,177,190,151,107,185,190,140,87,184,154,101,52,77,127,173,89,168,180,174,175,173,163,166,169,171,173,175,174,185,208,188,130,112,199,144,88,181,157,105,45,106,126,177,117,106,183,174,177,174,163,166,170,172,175,177,176,200,198,197,164,78,161,152,79,178,167,92,71,138,90,168,154,93,123,181,176,176,164,168,171,173,174,176,182,200,148,188,152,57,118,158,82,173,156,71,71,133,55,134,171,137,77,127,189,174,167,171,173,174,176,172,195,204,140,177,120,49,117,134,70,143,125,59,64,121,63,166,197,150,72,96,189,174,169,171,173,175,178,176,204,197,156,169,103,48,113,104,57,104,102,56,61,104,83,195,188,142,56,141,187,178,170,171,173,178,177,183,215,181,129,135,122,55,91,95,50,93,93,32,112,126,144,187,165,101,65,183,180,180,171,173,176,180,179,184,222,198,156,101,82,34,103,123,52,114,105,88,159,149,151,167,124,60,114,196,180,181,171,174,178,180,178,190,221,195,170,134,80,54,90,98,47,90,164,186,164,150,119,119,95,43,161,192,184,181,172,175,179,181,179,199,222,192,174,155,120,75,77,106,121,173,200,185,156,139,106,77,69,52,184,187,186,185,174,176,179,183,180,202,223,195,174,157,136,84,79,124,179,210,202,178,143,127,91,64,37,102,199,184,187,186,175,177,179,183,179,197,222,200,176,162,151,105,91,119,192,207,199,165,132,109,76,46,47,183,191,187,188,187,176,179,180,184,180,193,220,204,181,164,156,123,93,130,203,209,184,149,115,89,62,29,135,199,187,188,188,187,176,179,180,185,183,189,218,206,187,164,149,125,93,143,200,196,162,137,103,73,35,88,201,189,191,188,189,189,176,179,182,186,185,189,218,202,185,165,142,118,100,161,181,162,150,126,91,51,39,178,195,192,193,191,190,190,177,179,182,186,183,189,220,200,189,166,135,115,123,164,143,139,131,104,74,27,133,204,192,194,194,193,191,190,177,179,180,186,177,204,224,204,202,170,139,125,140,155,122,127,107,85,36,90,202,195,197,195,194,194,192,190,177,180,184,182,183,225,216,206,199,163,137,132,142,131,118,114,96,55,64,192,201,197,196,195,195,194,193,191,176,180,185,177,204,218,194,196,191,149,128,137,128,114,108,94,64,52,173,202,198,197,196,196,195,195,192,192,176,178,181,170,214,202,170,160,162,135,123,132,116,103,95,72,47,146,200,195,197,196,196,196,195,194,193,193,175,182,173,177,220,190,158,134,129,110,127,133,92,90,87,40,107,201,198,197,198,198,197,196,194,195,193,193,177,182,166,203,217,177,138,130,116,92,131,119,73,89,60,52,177,199,197,197,198,199,197,196,195,195,195,195
1,40,61,67,75,85,103,115,124,130,134,137,139,142,147,150,152,152,155,158,159,160,161,161,163,164,164,165,165,45,61,68,76,87,106,117,125,131,135,139,141,144,148,150,162,137,125,159,160,161,163,164,165,165,165,165,165,50,62,70,78,89,108,118,126,132,136,140,143,147,151,152,171,126,97,141,141,163,164,165,166,166,166,166,166,55,64,71,79,92,110,119,127,133,138,141,143,148,156,140,166,124,109,133,109,162,166,166,168,168,168,167,167,58,64,72,80,94,112,122,129,134,139,143,145,151,164,122,158,121,120,142,103,157,167,168,169,169,169,169,169,59,66,72,81,96,114,124,130,136,140,144,145,159,158,119,161,124,124,145,100,152,170,170,170,171,171,171,170,62,68,73,83,98,116,124,132,137,141,146,146,163,149,113,157,121,125,149,105,151,172,172,172,172,173,172,172,63,68,75,85,101,117,126,133,138,142,156,141,149,139,115,159,121,124,145,103,149,174,174,174,174,174,174,174,63,68,76,85,103,117,127,134,138,144,164,119,145,129,133,164,117,128,154,102,148,175,174,175,175,175,176,175,65,70,77,87,106,118,127,136,139,154,160,106,146,119,149,160,109,142,164,105,149,176,176,176,177,177,178,178,65,70,78,89,108,119,128,136,139,168,146,107,156,118,139,139,95,146,155,103,153,178,178,178,179,179,179,179,66,71,80,91,109,120,129,137,142,175,132,104,147,103,128,125,94,154,148,98,158,179,179,179,180,180,180,180,67,73,81,92,111,121,130,136,150,178,125,97,138,132,132,139,149,160,142,96,161,180,181,181,180,181,181,181,69,74,82,94,113,122,131,136,163,173,124,114,147,165,137,144,152,148,130,94,164,181,182,182,182,182,182,182,69,74,83,96,114,124,132,137,176,176,158,149,165,167,161,152,138,128,113,91,163,182,182,183,184,184,184,184,69,75,83,97,115,125,132,144,186,163,150,147,142,137,172,175,161,136,108,89,164,182,183,184,185,185,185,185,71,77,84,98,116,125,132,161,186,147,124,116,104,107,165,171,164,147,118,88,163,183,183,185,185,186,186,186,71,77,85,101,118,126,132,174,179,143,133,136,130,159,183,174,152,132,106,77,150,186,186,186,186,187,188,187,71,78,86,103,119,126,133,178,184,155,137,141,164,202,190,165,142,110,90,71,123,188,187,187,188,188,188,188,71,78,86,104,118,127,134,177,195,168,146,143,172,209,194,161,134,101,79,69,111,188,187,188,189,189,189,189,73,79,87,105,118,127,135,171,195,169,153,147,168,201,186,158,126,99,75,68,131,190,188,190,189,189,190,190,74,81,89,107,120,129,136,163,192,169,158,150,158,189,177,149,118,95,76,81,168,191,190,190,191,191,192,192,74,80,90,108,120,129,137,154,187,174,168,159,168,182,160,132,108,89,73,117,188,191,191,192,193,193,193,193,73,81,90,109,120,129,138,147,175,173,166,156,166,169,144,120,101,84,74,153,191,192,192,193,194,194,194,194,75,81,91,110,121,131,138,144,165,169,163,151,144,147,134,114,101,82,83,173,192,193,194,195,195,195,195,195,74,79,89,108,119,130,138,142,154,167,161,150,142,142,138,122,101,77,97,183,190,191,193,194,195,195,194,194,73,78,89,108,117,127,137,143,157,171,167,159,151,141,137,124,97,73,117,188,189,190,192,193,194,194,194,194,72,77,89,107,117,128,137,144,180,172,165,167,153,138,122,112,92,67,120,189,188,190,192,194,194,194,195,195
7,222,225,227,229,230,231,232,234,235,236,235,235,235,235,234,235,236,237,236,236,236,234,233,232,231,227,225,224,225,226,228,230,232,234,234,237,236,236,237,238,237,238,238,239,238,240,238,238,238,237,236,234,233,231,230,228,225,228,230,232,234,236,238,239,239,239,240,240,241,241,242,242,241,240,239,240,241,239,238,236,235,233,233,231,227,231,233,235,236,238,239,241,242,241,242,243,243,243,242,242,242,243,242,241,242,240,240,239,237,237,235,234,230,234,236,238,239,240,241,242,242,243,244,244,243,245,245,244,244,245,244,243,243,243,242,240,240,240,238,235,232,235,237,239,240,242,243,245,245,246,246,245,245,247,247,247,247,246,246,246,245,244,243,242,241,241,240,237,234,236,240,241,241,244,246,247,248,247,249,248,248,248,249,249,249,248,248,249,248,247,246,245,245,242,243,242,234,237,240,242,243,246,247,247,248,251,249,249,251,250,249,250,251,250,250,250,250,248,249,244,242,244,242,241,236,238,241,243,244,246,247,252,255,255,234,209,227,241,243,241,243,249,246,247,242,246,237,250,255,241,243,241,239,241,241,244,248,255,255,255,255,255,253,206,186,215,228,227,229,222,220,228,226,235,223,245,233,231,249,243,238,243,254,255,255,255,255,255,248,244,240,201,176,193,212,222,222,218,216,212,208,216,203,199,194,234,245,245,255,255,255,255,255,253,246,235,228,237,247,215,177,168,174,188,205,218,210,207,217,215,208,221,219,220,239,229,255,255,255,253,245,239,234,231,235,244,250,221,181,178,179,171,169,160,174,185,185,193,187,190,199,199,199,223,255,255,253,240,229,224,223,226,231,243,230,199,174,173,188,197,188,161,184,249,239,233,229,229,227,229,237,254,255,255,252,238,228,225,226,221,218,232,237,206,164,151,172,184,185,183,165,255,255,255,255,255,255,255,255,254,255,255,253,244,237,231,231,231,227,234,247,218,181,180,185,173,174,152,195,255,255,255,255,255,255,255,255,255,252,248,245,244,242,236,232,228,229,234,238,217,190,196,198,187,183,164,255,255,255,255,255,255,255,255,255,255,235,232,236,241,242,240,232,226,225,224,206,193,177,170,178,184,158,219,255,255,255,255,255,255,255,255,255,255,137,147,180,220,242,235,221,211,200,187,179,168,127,108,130,163,161,255,255,255,255,255,255,255,255,255,255,231,72,71,79,107,158,194,182,188,197,215,243,255,168,122,150,169,228,255,255,255,255,255,255,255,255,255,224,149,74,69,65,60,61,76,208,255,255,255,255,255,254,207,235,255,255,255,255,255,255,255,255,254,213,191,145,123,66,61,58,61,42,104,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,228,164,141,130,120,106,60,56,54,55,37,109,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,183,117,115,134,121,113,106,57,59,56,57,29,100,255,255,255,255,255,255,255,255,255,255,255,255,255,255,211,138,106,86,108,107,100,104,65,69,63,53,18,90,255,249,255,255,255,255,255,255,255,255,255,255,255,181,122,146,105,76,84,101,93,95,77,71,55,32,25,62,164,160,163,166,168,172,176,176,179,182,180,186,185,127,100,138,102,69,73,85,86,87,85,63,37,29,30,81,155,144,144,147,146,147,147,147,148,145,144,164,163,115,92,130,97,66,70,77,80,82,77,44,32,38,31,110,167,156,158,160,159,158,158,156,157,155,160,146,128,110,90,120,89,69,66,72,75,77
4,136,141,146,149,153,155,157,159,161,163,162,165,166,168,170,169,168,167,168,167,167,168,166,166,165,164,165,164,137,142,147,151,153,154,156,160,162,164,164,166,167,167,168,171,172,166,172,172,169,168,166,167,166,167,166,166,139,144,148,151,154,155,158,161,162,165,166,168,166,179,176,150,155,185,161,156,173,171,169,170,168,167,166,165,141,147,149,152,156,158,159,162,164,162,173,164,172,213,172,147,130,204,158,119,142,176,173,172,170,170,167,166,142,147,149,154,156,159,161,164,161,189,220,183,151,215,182,143,157,210,163,112,103,172,134,167,174,169,169,168,144,148,151,156,158,160,163,166,160,218,239,214,126,173,205,129,171,217,160,100,168,162,95,105,177,168,168,169,144,150,155,156,161,162,164,163,177,223,224,199,116,155,206,126,172,202,144,156,187,123,92,62,154,175,169,170,146,151,156,158,162,163,167,159,202,206,202,186,100,133,176,179,174,184,211,229,168,90,73,61,153,177,171,172,147,151,155,160,163,165,168,160,217,197,184,187,100,102,161,174,200,215,226,208,177,119,65,57,165,176,173,174,146,152,158,161,163,167,164,182,231,194,158,183,106,78,157,97,137,182,189,172,188,141,76,67,176,176,174,174,147,152,156,160,163,169,161,211,216,165,147,128,77,84,162,75,114,168,135,173,199,156,88,98,184,176,175,175,149,154,157,163,164,166,168,231,201,150,129,123,94,98,120,83,108,162,65,182,221,176,107,98,187,176,177,176,151,154,159,163,166,165,175,243,202,150,120,105,89,102,96,109,116,137,117,180,233,192,130,72,163,183,177,178,151,155,160,163,168,164,189,250,201,151,116,98,92,107,106,153,150,178,210,191,207,185,134,78,119,190,177,180,151,156,161,164,170,164,204,251,201,143,117,113,102,95,110,160,177,212,201,203,168,154,145,94,110,191,178,180,151,157,162,165,170,163,215,248,201,140,139,137,105,102,153,202,217,210,200,184,147,118,131,86,140,190,181,181,151,155,159,163,168,163,222,245,198,163,176,146,126,182,223,235,215,208,192,160,129,104,92,87,177,182,180,180,150,155,160,162,168,165,227,244,214,199,194,149,157,226,231,242,219,191,173,145,121,97,70,136,191,179,181,181,151,156,161,164,170,165,225,247,230,205,192,169,162,230,235,236,210,165,155,133,116,83,90,184,183,182,183,183,151,156,161,165,171,165,217,250,234,209,186,173,175,235,231,214,189,152,135,125,104,70,146,192,184,183,183,183,152,159,162,166,171,164,204,248,222,208,187,175,182,216,209,186,164,139,132,118,78,96,190,186,187,184,184,183,153,158,162,166,171,166,202,237,205,199,196,179,178,195,192,171,144,131,130,102,69,161,192,183,185,185,183,182,152,155,162,165,171,166,197,224,191,197,199,175,167,193,189,166,132,117,117,79,122,194,185,185,183,183,182,180,152,159,165,168,173,170,191,219,192,196,189,170,155,190,191,149,112,106,96,102,189,192,191,191,190,189,189,187,121,123,124,124,128,122,152,232,206,203,184,174,150,179,182,128,101,99,82,104,130,123,123,123,121,121,121,124,79,76,75,75,78,69,103,243,223,211,193,185,152,168,180,127,97,86,80,70,68,67,67,65,65,66,64,59,88,88,87,89,91,88,97,233,232,208,194,190,150,148,186,134,92,79,76,80,81,80,78,77,78,76,72,152,88,89,88,90,90,89,85,218,231,201,182,185,153,135,177,130,88,76,74,80,82,81,78,77,81,66,158,228
24,52,64,77,86,95,99,99,105,113,117,120,124,126,127,132,134,135,137,139,140,141,141,140,140,140,140,139,138,52,66,79,89,97,100,101,107,115,119,122,126,128,130,134,135,137,139,141,142,142,143,143,143,143,142,142,142,53,67,80,90,97,102,103,111,116,120,124,128,131,134,136,137,139,141,142,143,144,145,145,143,143,143,144,143,55,69,82,93,100,100,108,113,118,122,126,130,133,136,138,140,141,143,144,145,145,147,147,146,145,145,145,144,55,70,82,95,99,132,99,109,122,124,128,131,135,137,140,142,143,145,146,149,148,149,148,148,149,148,147,148,55,71,83,94,106,150,74,84,128,125,129,133,136,139,142,143,147,146,148,150,150,150,149,149,150,150,150,149,57,72,85,96,104,126,68,58,126,127,132,136,138,143,145,146,148,154,153,152,153,150,152,151,151,151,151,150,57,73,87,97,101,128,81,40,113,134,133,140,141,140,143,156,157,123,142,158,153,154,154,154,153,152,152,152,58,74,87,99,104,116,103,51,79,137,132,123,149,146,92,138,173,113,70,148,159,156,155,156,156,155,155,154,60,76,89,100,108,111,131,74,44,124,155,104,149,164,77,111,163,110,49,84,166,157,157,157,157,157,156,155,60,77,90,101,110,110,125,97,67,125,185,128,166,173,89,147,146,71,44,50,151,162,159,158,158,158,159,158,62,77,91,103,111,113,120,142,95,128,201,133,157,169,83,157,136,49,33,40,115,172,158,161,161,161,156,147,63,79,92,103,111,114,117,136,120,151,192,125,137,169,85,163,143,46,34,46,75,174,161,164,162,155,145,125,64,80,93,105,113,116,117,136,185,157,172,138,119,157,88,178,145,32,30,47,38,149,172,159,160,161,130,84,65,81,94,106,114,118,118,144,171,130,139,125,81,135,92,189,112,15,39,57,45,87,158,151,165,142,83,52,67,83,96,107,115,119,120,141,191,152,129,113,70,120,94,63,22,36,50,73,99,111,135,141,128,75,51,133,68,84,97,109,115,118,121,138,194,168,129,109,117,121,141,64,70,132,126,135,133,125,117,106,63,68,155,174,68,84,98,109,117,119,122,135,188,175,148,119,113,121,153,156,182,175,162,147,128,103,86,57,64,167,175,167,69,85,99,109,117,119,124,134,186,176,145,119,131,171,189,194,178,162,149,133,105,80,49,54,161,177,170,171,69,86,100,109,117,119,125,131,179,179,152,137,144,173,193,192,175,152,135,109,79,42,60,157,180,172,174,172,71,87,99,110,118,120,126,129,166,183,161,148,137,170,192,185,168,140,114,86,40,86,174,179,174,176,174,174,71,88,100,112,119,121,127,132,155,182,163,137,123,164,172,160,149,125,97,43,94,186,179,175,177,177,175,174,70,87,99,112,119,120,126,132,149,173,142,118,123,163,155,134,117,93,42,89,185,177,176,178,178,177,176,175,70,87,99,111,117,119,124,132,145,166,140,133,137,164,147,115,91,47,50,176,179,176,176,176,176,176,176,175,70,86,100,111,118,119,125,134,145,187,167,154,147,159,138,98,79,33,117,183,173,176,178,178,177,177,177,176,69,86,100,111,118,119,126,135,143,194,182,160,140,153,122,88,67,41,150,181,177,178,180,179,178,178,178,178,69,86,99,111,118,119,126,134,141,176,165,145,138,153,115,99,49,44,163,180,177,179,178,178,178,178,179,178,67,84,99,110,117,120,126,132,144,170,148,124,132,143,112,90,32,47,171,179,178,178,179,179,179,179,179,179
6,147,147,148,149,149,150,151,150,150,151,152,152,151,151,149,149,149,150,149,148,147,147,147,145,144,144,143,142,147,149,149,150,151,151,152,152,152,153,153,153,153,153,150,149,150,150,149,150,148,148,148,147,145,144,146,144,149,151,151,152,152,153,154,153,153,153,153,153,153,153,151,151,151,150,150,150,149,149,148,148,147,146,145,145,149,151,153,152,153,154,153,153,155,154,154,154,153,153,153,153,153,152,151,151,149,150,149,149,148,146,146,145,151,152,154,153,154,156,156,157,157,156,156,156,154,155,154,154,152,153,153,152,152,152,150,144,143,152,145,145,151,153,153,154,155,156,157,157,157,157,156,155,156,156,155,155,156,156,154,151,148,140,138,119,149,174,132,138,153,154,154,156,158,158,158,158,158,158,159,159,157,156,153,150,143,135,138,143,139,131,132,120,134,146,110,139,154,155,156,157,160,161,160,159,158,158,154,153,153,148,137,129,110,117,123,139,129,119,101,91,87,102,132,150,155,156,158,159,160,162,162,161,160,154,130,128,117,125,138,130,122,99,107,104,89,77,79,98,120,143,152,149,157,159,159,160,161,163,163,160,156,147,136,137,110,73,97,96,83,65,74,80,102,121,147,158,157,154,150,150,159,160,160,163,164,163,160,144,147,149,151,140,98,60,47,46,50,74,114,150,161,161,156,154,154,153,152,151,161,162,162,164,161,156,151,144,139,144,149,126,83,58,50,55,122,150,165,162,159,158,157,157,156,154,153,152,162,162,161,159,155,151,147,142,133,140,139,132,117,70,51,53,146,169,157,161,161,160,160,158,156,154,154,154,162,160,159,156,152,144,142,140,136,137,141,144,129,81,54,50,62,164,162,162,161,160,160,159,158,156,156,155,158,159,161,155,147,142,142,142,139,139,141,138,127,89,53,56,44,108,174,162,162,162,160,159,159,158,158,156,167,169,163,154,147,143,141,142,140,135,139,140,137,112,59,50,54,54,156,168,163,163,161,160,160,159,158,157,173,170,158,150,152,144,141,140,142,143,146,146,139,108,64,51,49,45,152,169,164,164,164,162,161,160,160,158,169,161,153,155,150,143,140,140,139,133,131,128,116,93,69,56,42,100,177,164,165,165,164,164,162,161,160,159,172,158,149,152,141,140,143,137,133,123,117,114,102,85,73,65,42,97,180,165,167,165,165,164,163,164,162,160,174,166,147,136,136,141,144,140,131,123,115,115,104,79,72,73,58,48,159,173,168,166,166,164,163,164,163,160,159,161,139,125,128,136,136,134,124,113,99,95,78,66,68,79,60,48,159,173,169,168,166,165,164,164,163,162,67,113,118,109,117,126,125,117,104,93,82,72,42,52,69,74,53,122,177,170,170,169,167,166,165,166,165,164,32,41,76,91,100,111,107,94,77,66,58,53,47,60,70,77,140,178,172,171,171,170,169,167,166,166,165,164,35,34,31,40,52,70,79,73,81,103,125,99,82,86,118,161,179,173,173,171,171,171,170,168,168,167,165,164,30,32,31,12,9,18,23,29,159,184,183,181,174,176,180,178,175,175,174,172,171,172,171,170,169,168,165,165,27,26,34,25,7,13,0,74,186,175,177,176,177,176,175,175,175,174,173,175,172,171,171,170,169,168,166,165,24,23,30,30,8,11,5,148,186,175,178,177,176,177,176,176,175,174,174,173,172,172,170,170,169,167,166,166,22,21,31,31,11,0,59,186,175,178,177,177,178,178,177,177,176,175,175,174,173,172,171,171,170,168,167,166
12,163,163,165,166,167,169,169,169,169,168,168,168,168,167,167,166,166,166,165,165,165,164,164,163,162,161,161,160,164,164,165,167,168,170,170,170,170,171,170,170,169,169,170,170,169,166,167,166,164,165,164,163,162,162,163,162,165,165,165,168,170,170,170,171,171,171,171,172,170,170,160,148,162,169,161,163,173,167,165,163,164,164,164,164,166,166,167,169,170,171,171,171,171,172,172,172,170,167,142,109,87,154,137,106,112,164,170,166,163,165,164,164,166,167,170,170,170,171,172,172,173,173,171,171,173,150,124,100,86,140,119,101,49,117,160,161,171,164,165,165,167,169,170,171,172,172,172,174,172,172,164,133,156,151,138,79,117,156,124,97,85,133,118,85,127,172,164,164,168,170,169,171,174,174,173,173,173,178,167,121,142,181,141,75,149,167,126,101,112,122,105,76,56,130,173,164,169,170,170,172,173,174,174,173,181,189,170,130,127,171,117,72,170,167,111,103,150,134,105,81,61,74,172,165,170,171,171,172,173,176,176,172,186,177,163,128,86,91,94,55,109,126,69,116,179,134,120,76,48,68,168,167,171,171,172,173,175,176,174,179,195,174,144,112,88,41,33,76,115,131,110,148,178,130,93,55,46,73,170,166,171,172,173,174,176,175,178,189,174,166,126,101,84,34,89,166,171,161,150,162,127,89,72,71,53,75,176,167,171,173,174,175,176,174,188,191,162,135,125,139,79,110,180,172,161,154,138,148,148,103,103,99,65,101,178,167,172,174,175,175,176,176,198,187,167,147,125,144,135,188,179,164,157,161,144,145,143,112,87,89,57,143,176,168,173,175,176,176,177,181,199,190,177,174,148,150,171,176,180,162,165,156,136,145,129,97,75,65,58,167,172,169,173,175,177,177,177,182,198,194,183,172,163,154,164,166,169,162,161,148,142,140,114,82,69,49,80,181,169,170,174,176,178,179,178,183,197,195,183,167,154,153,156,162,167,160,157,145,140,119,92,70,65,41,110,184,169,171,174,175,177,177,178,181,195,193,172,154,150,157,157,166,171,160,150,139,120,95,74,63,60,36,136,183,172,172,174,176,178,178,179,181,183,177,167,165,163,159,159,175,165,151,134,126,106,82,70,63,44,62,174,176,174,171,175,177,177,180,180,185,192,192,188,182,170,155,156,173,155,134,117,111,90,76,69,45,50,153,179,174,174,174,176,177,178,180,179,191,197,193,186,175,165,154,152,166,145,120,107,93,80,69,44,67,154,181,174,175,174,175,176,178,179,179,181,196,196,192,182,166,157,155,156,153,132,113,96,83,61,54,112,173,182,176,176,176,177,176,175,177,179,177,184,198,192,184,176,164,152,153,156,144,125,102,79,57,62,150,186,178,177,177,177,177,176,175,181,177,177,174,190,190,182,172,171,163,145,150,146,127,112,96,65,52,153,185,176,178,176,177,176,176,175,173,143,176,183,178,189,175,170,164,162,153,152,149,139,117,97,83,54,125,184,176,179,178,177,176,176,175,175,174,69,72,124,194,178,162,155,152,151,159,151,140,133,108,90,66,68,172,181,180,179,178,178,176,176,176,175,175,77,63,58,147,169,154,145,151,160,162,141,129,123,99,82,49,106,188,181,181,180,178,178,177,177,176,176,176,69,71,72,57,73,85,82,89,104,119,116,116,110,89,69,47,150,187,180,181,181,179,178,177,177,176,177,175,68,65,71,59,16,33,38,35,34,36,41,56,71,72,46,75,174,181,181,181,181,180,179,177,176,176,176,175
14,169,173,177,179,180,182,184,185,186,188,188,189,190,189,188,189,188,187,187,187,187,186,185,184,182,182,181,180,171,175,178,180,182,185,186,186,188,190,191,191,191,191,190,189,191,192,191,188,186,188,187,185,184,184,183,182,173,177,180,182,185,186,187,189,190,192,192,192,192,192,192,192,173,177,189,191,191,187,187,186,186,185,184,184,173,179,182,184,186,187,189,191,192,192,193,193,193,192,192,180,172,160,165,158,179,196,187,185,187,185,186,186,175,179,183,184,187,189,191,192,194,194,195,195,193,205,205,196,187,172,146,129,126,152,191,193,186,187,186,187,176,180,185,187,188,191,192,194,195,196,197,193,202,221,193,170,204,180,150,111,97,97,113,175,195,186,188,187,177,181,186,188,190,192,193,194,196,197,197,203,217,216,174,101,148,137,169,133,82,104,80,85,172,195,187,189,178,182,186,189,191,194,194,196,198,198,199,216,200,163,133,96,83,100,176,158,103,101,103,82,92,192,191,190,179,183,187,190,192,194,195,198,199,203,212,224,181,124,93,78,77,77,142,171,126,106,122,107,86,148,200,189,180,184,189,191,194,195,198,200,199,212,226,223,190,149,112,94,86,78,84,132,142,105,113,103,110,104,186,195,181,184,188,192,194,196,199,200,203,219,229,213,170,138,111,91,91,84,135,183,200,179,133,107,108,91,143,200,182,186,190,193,195,198,200,199,209,229,224,182,132,101,93,86,78,115,210,205,200,205,205,145,109,113,134,200,184,188,192,193,197,198,202,196,216,229,214,192,152,105,86,73,98,203,210,200,203,202,199,136,145,109,139,205,185,190,192,196,198,200,201,202,229,222,203,195,154,119,90,66,74,111,180,209,200,211,173,134,148,103,114,206,186,191,193,196,199,204,196,219,232,214,201,196,148,123,82,71,77,77,92,184,216,183,119,132,140,107,86,178,187,191,195,197,200,201,204,233,222,202,207,191,151,125,80,75,87,95,95,104,137,112,123,139,126,106,81,167,187,191,197,199,203,198,219,233,219,207,208,185,154,120,81,88,106,107,108,104,92,109,125,137,125,89,137,204,188,192,197,200,201,203,233,231,220,206,196,183,150,109,86,102,118,119,117,116,108,109,128,121,97,145,207,202,190,194,197,201,200,214,237,227,214,198,187,177,139,110,94,114,122,124,120,115,113,109,111,98,162,211,203,203,191,195,198,202,200,228,235,220,205,193,178,164,132,112,105,116,126,122,119,108,113,95,91,175,216,203,205,205,192,196,199,201,203,236,230,214,201,184,170,157,131,117,106,115,127,118,113,105,94,121,188,215,207,207,206,205,193,197,201,201,211,241,226,208,194,180,163,148,138,114,105,111,118,116,107,91,163,216,214,209,210,209,207,205,194,198,202,201,227,238,220,197,174,167,159,148,122,106,107,107,111,98,93,169,222,211,210,211,210,208,208,207,194,198,199,213,239,227,211,183,181,172,144,122,102,107,111,93,102,131,191,221,212,213,212,211,210,209,209,208,196,203,196,215,232,219,208,188,179,151,137,119,107,105,95,140,201,221,221,214,216,214,212,211,210,210,210,209,189,193,184,217,228,219,202,188,164,134,129,114,107,87,141,231,223,218,217,216,216,215,214,213,211,211,211,209,97,56,126,232,222,213,197,178,149,125,121,110,96,100,205,221,218,220,219,217,216,215,216,214,213,212,211,210,88,59,108,207,220,206,193,168,134,117,112,103,80,159,226,218,219,219,218,217,217,216,216,215,213,212,211,210
22,124,127,132,149,163,172,176,179,186,193,197,200,204,206,209,210,212,213,213,211,211,210,210,208,206,206,204,203,125,127,134,150,164,173,176,181,189,193,198,205,205,207,211,212,214,207,209,215,212,213,211,213,211,208,206,206,125,128,136,153,166,175,178,183,189,203,208,175,209,210,213,212,229,187,159,221,214,213,215,198,207,213,208,207,126,129,137,155,167,177,181,187,187,222,226,141,204,214,214,215,239,185,143,222,216,219,223,155,169,221,210,209,126,129,138,156,168,178,183,189,190,219,236,147,193,219,214,220,235,175,153,228,215,229,221,146,175,222,212,211,127,129,139,158,170,179,184,190,193,212,242,158,180,223,216,223,229,169,168,230,219,232,203,139,203,220,214,213,126,128,140,158,170,181,185,191,196,209,249,185,165,224,219,220,211,155,177,229,232,240,180,150,225,216,216,214,127,130,141,159,171,182,186,192,198,206,246,195,155,218,222,223,212,145,185,231,238,226,160,182,228,218,219,216,127,130,142,159,173,184,187,192,201,205,241,204,145,204,227,222,216,146,198,242,238,191,141,211,225,221,220,218,126,130,143,162,174,185,189,194,203,205,234,231,165,185,232,210,197,131,222,255,233,171,151,230,222,222,221,220,128,130,143,162,175,187,191,195,203,208,223,238,171,157,220,187,184,156,240,242,219,145,188,235,225,223,222,221,127,131,144,163,177,187,191,197,205,213,217,235,163,123,178,192,213,237,243,223,180,136,223,230,226,226,224,221,126,131,145,163,178,188,191,198,207,213,213,232,184,149,199,204,213,230,227,210,140,177,241,227,227,227,226,223,127,131,147,165,179,189,192,200,205,226,214,178,184,161,188,199,220,214,223,185,130,218,238,230,229,228,228,225,127,131,147,165,180,190,193,201,207,240,207,200,183,192,159,141,189,203,193,147,132,229,236,233,231,230,228,227,125,130,147,165,182,190,193,202,208,247,224,211,212,201,161,127,120,162,160,131,139,240,234,233,233,232,230,228,125,130,148,167,182,191,195,200,214,253,232,188,167,182,186,173,139,112,116,118,140,242,234,234,235,234,231,228,127,132,150,168,183,192,195,204,215,255,240,174,118,127,186,190,170,142,126,109,117,235,240,235,235,233,232,231,125,130,150,167,183,191,195,204,210,255,249,198,183,115,227,212,183,161,143,100,101,229,242,236,234,234,234,232,123,128,148,167,182,192,195,203,208,252,255,209,187,158,248,231,194,167,146,96,113,240,239,235,234,234,234,234,122,127,148,168,184,192,195,205,207,247,255,210,188,219,240,212,195,155,137,91,138,252,236,237,235,234,235,233,121,126,147,168,184,192,195,204,209,237,255,232,197,240,239,194,200,173,131,87,158,252,236,238,236,234,234,233,114,120,143,165,183,192,196,205,213,229,248,235,198,231,231,199,190,176,127,83,196,254,241,242,239,237,236,235,143,146,155,165,176,184,188,194,202,199,238,236,200,196,214,183,167,148,105,96,213,226,221,220,220,219,219,219,151,152,148,141,146,148,147,148,154,117,147,236,179,154,169,156,135,116,98,115,144,140,138,138,138,137,140,137,149,149,151,151,151,150,151,152,152,110,76,143,158,153,162,170,148,121,90,115,149,141,141,141,141,141,121,95,151,152,151,152,152,152,152,156,132,90,95,78,119,161,165,170,140,98,54,93,153,143,143,144,124,99,77,69,151,151,151,151,151,151,154,151,103,97,95,92,81,100,126,114,79,56,45,112,152,141,144,125,86,80,71,62
1,150,152,154,155,155,157,157,157,157,158,158,158,160,160,160,160,160,160,159,159,160,160,159,158,158,159,158,157,153,156,157,157,159,159,159,160,161,162,162,162,162,163,163,163,162,163,163,162,161,161,162,161,160,160,159,158,157,159,160,161,162,163,163,164,165,165,166,167,166,165,164,165,167,158,155,166,165,165,164,164,162,161,161,160,161,164,164,166,166,166,167,168,169,170,170,170,171,168,141,161,178,152,118,168,169,168,167,167,165,165,164,164,164,167,168,170,170,170,170,171,171,173,174,173,180,174,115,155,180,141,111,167,164,171,171,170,168,168,167,166,168,170,171,173,174,174,174,176,175,175,172,166,185,165,112,163,178,126,124,163,127,157,175,173,172,171,171,170,171,172,173,175,177,178,177,178,179,181,165,133,167,151,115,175,174,117,140,169,114,143,180,176,175,174,173,173,174,175,176,179,181,180,181,181,181,188,161,118,150,147,122,183,177,123,156,173,112,143,183,179,178,177,176,175,176,178,180,182,184,184,183,184,184,189,148,117,144,140,127,177,165,121,170,172,109,147,184,182,182,180,180,179,179,180,183,184,186,187,186,186,186,192,145,122,135,127,115,171,148,119,182,173,113,157,187,187,185,184,183,182,181,183,185,186,187,187,189,189,189,193,138,118,135,131,109,179,146,130,188,164,114,168,189,188,187,186,186,185,184,186,187,188,189,189,190,191,193,197,144,109,133,131,109,180,142,143,189,156,113,178,192,190,189,188,187,186,185,188,190,191,192,193,193,192,195,199,148,100,120,114,104,161,126,159,192,157,120,188,194,193,191,190,189,188,187,189,191,193,194,195,194,194,199,199,153,119,143,159,150,168,152,144,174,148,130,195,196,194,194,193,192,190,190,192,192,194,195,196,196,196,205,198,159,130,120,160,181,183,179,139,131,129,142,199,198,197,196,195,193,193,191,193,194,195,197,198,198,199,210,189,149,120,98,108,136,159,194,174,115,91,156,202,199,199,198,196,195,194,193,195,197,198,199,200,200,202,215,190,146,112,101,105,117,153,204,201,144,88,171,204,201,201,200,200,198,197,194,196,198,200,201,202,200,206,215,186,143,115,113,121,156,180,184,194,159,105,177,204,202,201,200,200,200,200,196,197,199,201,202,203,201,209,213,184,146,117,125,134,185,200,182,164,139,103,154,207,204,204,203,202,201,200,197,198,200,202,203,205,203,211,214,186,150,129,130,156,205,202,175,149,113,91,158,210,206,205,205,205,202,201,199,200,202,203,203,205,205,211,212,185,153,139,131,171,214,202,164,134,101,88,180,211,208,207,206,206,204,202,200,202,202,204,204,205,206,209,209,186,161,147,133,170,213,194,152,121,92,108,198,209,208,208,207,207,206,204,201,203,203,205,205,206,207,208,206,188,167,155,132,173,204,177,139,109,89,154,211,210,209,209,210,210,208,207,201,204,206,206,207,208,209,210,209,191,169,155,131,177,190,165,131,98,101,194,213,212,210,210,211,210,208,208,202,204,207,207,207,209,208,210,213,194,173,148,131,170,166,148,118,89,134,213,213,214,213,212,212,211,209,208,202,204,206,208,208,209,204,210,214,207,181,148,139,161,148,135,108,93,177,216,214,215,215,214,213,212,210,209,202,203,204,206,207,206,203,211,210,205,182,153,148,151,140,123,97,131,208,216,215,215,215,214,214,213,212,211,203,204,205,206,206,203,204,202,192,191,175,151,145,135,127,103,101,186,216,216,215,215,215,214,213,213,212,211
1,90,92,96,99,109,124,136,140,143,148,153,157,159,162,168,168,169,172,172,173,175,176,177,177,178,179,178,179,90,93,97,101,111,126,137,142,145,151,155,158,162,173,156,171,173,172,173,173,174,176,177,177,177,177,178,178,92,95,98,102,114,129,140,145,148,155,158,159,173,197,125,150,165,174,174,175,175,176,177,177,177,177,178,177,92,95,99,102,116,132,143,148,152,157,168,162,166,203,122,133,137,156,182,178,178,178,178,178,177,178,178,177,93,96,100,104,118,135,146,150,156,158,194,170,137,203,121,136,149,125,188,182,182,182,182,181,180,181,180,179,94,98,101,105,121,138,149,153,160,161,198,176,130,190,120,130,158,110,181,188,187,187,186,186,184,184,184,183,95,98,102,107,124,139,150,154,163,163,201,178,120,185,136,131,163,112,174,196,190,190,191,190,189,188,188,187,96,99,103,110,128,143,153,157,166,171,193,181,114,163,135,132,176,119,165,202,194,196,195,194,193,192,191,190,96,100,103,111,131,146,155,157,179,177,171,182,111,144,135,121,171,118,163,207,198,199,200,198,197,196,195,194,98,101,103,114,134,149,158,156,201,170,161,179,112,158,145,119,189,135,160,211,202,203,203,202,201,200,200,199,98,102,104,116,136,152,160,160,207,155,156,192,119,152,145,120,197,147,155,214,205,207,207,205,205,204,204,202,100,103,104,118,139,154,161,166,210,148,144,191,114,123,134,120,192,150,147,218,208,209,209,208,208,208,206,205,102,105,106,121,141,156,163,172,214,153,121,180,120,123,133,150,176,140,141,220,211,213,212,212,211,210,209,208,102,104,107,123,144,159,166,175,219,163,103,193,185,153,154,168,155,117,132,219,214,215,215,213,212,212,213,212,101,104,107,126,147,162,168,178,216,155,136,169,158,147,151,144,140,139,118,211,219,217,217,217,216,215,214,214,102,104,108,128,149,164,169,183,220,176,167,136,129,148,151,130,149,171,141,167,227,218,220,220,219,219,219,218,102,104,109,131,151,167,170,192,227,183,154,127,139,134,157,168,187,197,185,134,189,228,220,221,220,220,221,221,102,104,110,134,153,170,170,201,229,178,142,125,140,149,183,222,196,197,202,139,123,220,224,224,223,223,222,220,102,104,111,136,156,172,172,205,230,178,137,132,147,160,201,224,227,204,168,121,113,205,231,224,223,224,230,233,103,104,114,139,159,174,175,202,235,186,137,136,152,175,208,220,224,198,153,117,117,218,228,227,236,231,203,158,103,104,115,141,161,176,177,199,232,197,150,135,160,183,215,226,217,187,149,113,129,230,232,227,177,125,87,72,103,104,117,144,164,178,180,198,230,211,167,139,163,181,219,227,204,176,145,109,146,245,215,124,73,69,75,74,102,103,118,145,165,178,181,195,221,213,179,148,159,182,220,219,198,169,138,102,175,211,106,81,83,61,77,76,100,101,119,146,166,178,181,192,208,212,187,160,162,180,215,210,190,159,131,107,140,95,64,77,92,61,60,83,101,101,121,148,169,180,183,194,201,209,193,171,169,167,206,198,182,148,124,106,95,84,79,58,82,78,50,69,95,97,119,149,170,182,186,196,203,206,194,175,171,157,186,185,167,137,117,99,103,89,77,59,61,86,56,54,111,111,127,151,169,180,186,195,204,204,194,180,173,159,161,176,156,129,107,94,103,91,71,63,52,73,71,47,136,137,136,134,138,143,147,150,151,163,202,184,176,161,149,164,148,123,97,89,99,80,79,61,51,60,79,50
19,109,115,122,127,131,133,136,138,142,145,148,151,153,156,158,159,160,161,163,165,167,168,168,168,168,169,169,169,110,116,123,128,131,134,137,140,144,147,150,153,156,158,159,160,162,164,165,166,168,169,169,168,169,170,170,170,112,118,124,130,133,135,138,142,146,149,153,155,155,158,160,162,164,166,167,168,169,172,174,161,165,171,171,171,114,120,126,131,135,137,140,144,147,152,163,158,142,147,160,164,165,168,169,171,173,181,172,134,154,171,172,172,115,121,128,133,136,138,142,146,149,156,180,166,132,123,154,166,167,170,176,179,181,172,139,123,159,173,174,173,116,122,130,135,137,139,143,147,150,155,179,175,146,137,162,174,170,171,179,175,158,133,122,148,172,176,175,175,117,123,131,136,139,145,151,145,146,153,170,177,168,166,167,167,159,151,153,143,125,130,153,172,176,177,177,177,119,125,132,137,143,168,170,151,145,150,162,167,161,152,146,144,134,120,126,132,148,167,176,178,178,178,178,179,120,126,133,137,151,179,163,150,151,159,166,165,158,147,137,124,115,113,151,168,176,179,179,179,179,180,180,180,120,127,134,138,160,172,150,144,151,160,163,160,157,146,127,101,94,123,173,180,180,181,181,180,181,181,182,181,121,127,134,143,176,178,158,154,157,156,150,146,139,121,105,89,87,137,178,182,182,182,182,182,183,183,183,183,123,129,135,152,195,189,170,162,161,158,154,147,127,96,87,84,92,151,181,183,183,183,183,183,184,184,184,184,124,130,137,155,193,185,164,149,142,144,146,139,117,90,83,86,103,162,182,184,185,186,185,185,185,185,186,185,125,132,137,152,182,178,154,129,111,105,112,118,112,91,85,88,117,173,184,185,186,187,187,187,187,187,187,186,126,133,138,149,176,176,149,112,89,71,81,108,114,94,87,88,118,175,185,186,187,187,188,189,189,189,188,187,127,135,140,148,174,177,150,114,83,65,86,107,104,86,82,84,106,168,186,187,188,189,190,190,190,190,190,189,128,135,141,146,175,177,152,122,95,74,75,77,74,72,77,83,102,165,188,189,189,190,190,190,190,191,190,190,128,136,141,146,178,179,154,126,103,88,79,68,67,72,79,85,105,167,188,189,190,191,191,191,191,191,191,190,130,137,141,144,176,178,152,126,105,95,89,78,72,76,81,86,114,173,188,190,192,193,193,192,192,193,192,192,131,137,141,142,170,171,148,123,104,95,90,81,75,79,84,91,132,182,190,192,193,193,193,193,194,194,194,193,132,137,142,145,168,166,144,119,102,95,90,83,80,83,87,101,155,188,191,193,193,194,194,195,195,195,195,195,133,139,143,151,171,163,139,115,100,94,92,88,85,87,95,127,176,190,192,194,194,195,195,195,195,195,195,195,134,140,143,156,174,161,136,113,99,95,95,91,87,96,130,169,187,191,193,194,194,195,196,196,196,196,196,196,134,140,144,159,170,157,136,116,102,96,94,90,89,123,170,186,190,192,194,195,195,196,196,196,197,197,197,197,135,141,147,164,166,150,132,115,100,91,87,86,96,150,183,189,192,193,194,196,197,197,197,197,198,198,198,198,135,141,152,174,166,147,126,110,98,86,82,83,104,163,186,190,192,194,195,196,197,198,199,199,199,199,199,199,135,141,156,177,168,150,131,118,109,90,81,81,112,171,187,190,192,194,195,196,197,198,199,199,199,199,200,200,136,143,154,172,168,153,136,126,116,92,81,81,114,173,186,189,191,193,195,196,196,197,198,198,199,199,199,200
15,137,119,127,95,86,139,40,29,67,64,65,68,71,74,85,98,107,115,119,123,128,133,137,140,143,145,147,150,136,123,132,89,98,137,30,38,68,65,66,69,72,75,87,99,110,118,121,125,131,136,140,142,146,148,150,153,135,124,134,83,110,131,22,46,69,65,69,72,73,76,89,100,112,120,123,126,133,138,143,146,148,151,153,155,133,127,134,77,123,121,14,52,67,64,66,68,70,76,92,104,114,122,124,128,135,141,145,148,151,154,156,158,130,128,132,74,136,108,18,64,73,75,83,91,93,80,89,101,115,125,128,132,138,143,152,155,153,156,160,161,130,138,128,98,120,109,95,98,95,102,105,100,92,88,87,88,93,101,109,115,113,105,111,137,162,163,161,164,135,142,113,103,106,100,98,86,87,88,84,82,82,93,95,93,93,91,90,102,105,96,86,73,98,149,173,169,137,125,95,93,89,89,84,80,83,84,85,83,87,97,98,95,90,86,89,101,103,101,96,82,67,68,115,165,137,139,107,85,98,75,73,75,80,83,82,83,91,98,95,91,87,87,97,101,95,99,93,86,82,76,63,78,140,147,101,102,156,42,36,73,67,69,71,73,78,89,100,113,99,95,96,97,99,99,94,88,87,91,79,66,142,150,92,115,152,30,39,74,66,67,71,72,72,84,106,147,127,108,102,96,89,96,89,91,88,102,88,76,142,150,88,127,143,22,47,74,67,68,71,72,75,82,132,136,113,89,82,89,73,73,87,93,96,112,96,83,144,149,83,138,132,16,54,73,66,68,70,73,72,100,149,117,104,80,46,55,46,38,108,112,112,108,90,88,146,146,82,148,121,12,60,72,67,69,70,72,73,140,137,105,91,75,43,33,25,37,126,128,122,101,82,87,147,142,81,158,110,11,66,71,68,68,71,67,96,165,134,100,85,58,33,34,20,59,133,135,131,103,80,81,153,138,85,164,95,11,70,71,67,68,71,67,90,152,142,111,87,50,26,33,39,70,125,142,137,107,81,78,159,132,90,174,85,15,73,70,67,68,70,72,71,131,158,133,99,63,24,48,75,68,112,142,125,101,83,70,163,126,98,179,73,18,77,69,67,67,70,72,74,102,166,153,115,69,33,27,55,106,128,124,99,91,80,61,167,116,108,179,60,23,76,68,65,65,68,68,77,90,151,165,134,115,105,103,122,123,109,91,77,78,76,64,169,109,120,176,47,29,75,66,65,64,67,67,76,92,121,168,153,139,132,131,135,104,78,73,71,70,73,75,168,101,132,169,37,37,76,65,64,63,65,68,78,91,139,152,117,109,111,130,133,94,66,67,60,66,72,66,166,97,145,162,26,42,74,63,63,62,66,68,75,103,164,122,107,111,107,125,129,97,67,63,115,98,50,50,164,92,156,150,20,49,71,59,58,58,60,62,67,109,152,114,102,99,95,113,117,99,63,87,200,113,52,51,159,93,161,146,105,101,108,100,97,94,91,93,95,108,129,115,111,122,94,76,104,103,75,99,192,114,59,54,152,95,164,149,115,83,98,97,97,96,99,103,102,97,93,101,99,141,137,79,78,109,93,102,121,92,64,58,148,98,168,146,110,86,98,97,98,98,98,98,100,100,101,103,98,106,153,118,84,105,105,104,105,86,56,55,141,105,172,143,109,92,98,99,100,100,99,102,103,103,105,105,104,102,113,119,101,107,106,106,109,87,52,34,132,112,171,142,109,94,100,98,99,100,100,102,102,103,105,105,104,106,104,104,105,105,106,105,107,86,61,45
18,169,170,170,172,174,174,172,174,174,172,170,169,169,168,167,166,167,166,165,163,162,161,159,158,157,156,153,152,170,171,173,174,174,175,175,175,175,175,173,172,170,170,170,172,171,167,167,166,164,161,161,159,157,156,154,153,173,173,173,175,174,175,178,177,176,174,176,177,179,177,175,169,162,174,169,171,172,169,161,160,160,159,157,155,174,174,176,176,176,177,178,179,177,176,176,140,112,160,170,124,89,113,177,154,127,140,167,162,160,160,159,158,175,176,176,177,179,179,179,181,180,186,176,125,85,75,136,128,87,52,108,120,89,63,121,173,161,161,159,158,177,177,178,178,179,181,183,157,124,146,175,134,111,72,109,162,93,78,46,107,99,61,48,163,165,162,160,159,178,179,181,181,181,181,190,156,122,97,128,162,112,87,82,161,97,88,83,79,92,78,34,134,172,163,162,161,178,181,181,183,184,183,188,171,147,128,87,141,133,91,62,114,119,104,99,88,109,94,37,134,173,164,163,161,179,181,182,185,183,190,172,170,160,132,104,85,132,98,68,81,130,116,103,101,106,89,36,140,176,165,165,164,180,182,184,185,182,193,175,128,145,130,93,46,116,107,68,60,118,107,102,97,93,86,34,122,180,166,165,164,182,183,184,187,183,191,162,79,112,128,60,34,89,83,47,44,93,60,85,120,116,91,42,102,182,167,166,165,182,184,185,187,185,194,161,117,108,120,54,37,68,58,37,32,65,37,64,161,132,100,54,80,185,169,168,167,183,185,185,186,186,195,175,151,103,112,78,45,63,69,39,30,60,37,33,135,138,107,68,56,176,172,170,168,186,186,186,186,188,195,178,141,106,84,68,35,68,81,36,28,47,89,130,137,160,125,82,38,155,178,171,170,186,186,186,188,190,194,153,116,94,70,49,34,47,44,33,44,86,154,162,144,147,130,84,33,137,185,171,171,185,187,189,190,191,192,170,141,115,91,67,64,55,59,84,117,155,168,161,155,123,111,73,29,143,183,171,171,187,189,191,191,190,195,182,152,123,88,65,64,76,96,124,151,175,172,151,139,114,81,56,41,170,177,174,174,189,190,191,192,191,193,184,159,129,97,77,75,80,98,147,171,183,170,142,123,102,73,32,79,188,174,176,174,189,190,191,192,193,191,185,168,139,113,91,87,77,114,167,180,177,159,134,114,96,64,21,137,187,175,175,173,190,191,192,193,193,189,181,166,140,118,99,95,85,127,177,171,164,150,127,104,88,51,40,178,180,177,176,175,191,193,195,196,195,188,170,155,138,121,107,105,91,131,173,162,153,138,120,96,78,32,85,193,176,179,177,175,191,193,194,194,196,192,168,158,146,126,113,118,97,135,162,158,144,120,106,87,65,21,140,191,178,179,178,175,193,194,194,195,197,197,175,156,146,133,124,122,99,136,155,150,138,113,92,74,42,47,186,181,181,179,179,176,193,195,196,195,196,201,187,156,151,142,128,115,96,120,149,139,125,102,77,63,17,115,197,181,182,181,179,177,193,195,195,196,195,198,195,173,157,143,130,118,101,105,133,128,110,87,68,38,40,186,185,184,183,182,180,177,193,193,194,197,198,200,198,183,164,150,135,124,110,103,121,119,97,77,61,13,118,199,183,184,184,182,181,177,194,195,195,195,198,199,199,192,174,147,129,119,114,110,113,111,93,74,39,46,189,187,187,185,184,183,181,177,195,195,197,196,198,200,197,192,175,149,141,139,133,125,108,105,86,65,22,116,202,185,186,185,185,183,181,178
21,157,164,169,171,174,179,183,186,189,191,192,194,196,197,197,197,198,197,196,196,197,195,195,194,193,192,192,191,158,166,171,172,176,180,185,187,190,193,194,196,197,198,200,198,198,198,198,197,197,197,197,195,193,192,192,192,160,168,172,174,177,183,186,189,192,195,197,198,198,198,199,202,200,200,200,200,198,199,197,196,195,194,193,192,161,169,173,175,177,183,187,191,194,196,198,199,198,215,184,174,206,201,202,202,201,200,199,199,197,196,195,193,162,170,174,175,179,184,189,192,194,197,199,200,200,226,193,143,199,205,203,203,202,202,201,199,201,198,197,195,164,171,175,176,181,186,190,192,196,199,200,202,199,221,210,150,183,210,203,204,204,203,205,194,167,198,199,197,164,172,176,177,182,187,192,194,198,200,202,204,203,214,231,178,170,213,205,205,205,204,211,190,134,187,203,198,166,174,177,179,184,189,194,196,199,201,204,206,205,212,241,196,157,209,208,208,206,207,209,184,140,192,204,200,167,175,178,180,185,191,195,197,200,203,204,207,207,210,237,201,152,197,213,209,207,216,212,171,144,207,203,202,169,175,180,181,187,192,196,199,202,205,206,209,210,209,238,212,159,182,217,209,209,221,209,159,159,212,203,203,169,176,180,182,188,193,197,200,203,205,207,210,211,207,236,227,172,176,218,208,215,215,188,142,183,212,205,204,170,177,181,183,189,193,198,201,204,206,209,210,212,209,227,227,168,172,219,212,225,216,178,133,202,210,206,205,171,179,182,184,190,195,199,203,205,208,210,211,214,213,226,224,155,156,219,214,224,210,161,155,216,208,208,207,172,180,183,186,191,196,201,204,206,209,210,212,214,187,186,229,162,173,202,211,206,185,135,184,218,208,210,209,172,181,185,187,192,198,202,205,208,210,211,219,225,180,154,193,173,170,196,206,203,157,135,213,212,211,210,210,173,181,186,188,193,199,204,206,209,211,212,207,223,185,176,158,174,169,159,190,194,137,175,222,212,213,212,210,174,182,186,188,195,200,205,208,210,213,227,183,180,192,193,187,196,174,116,144,168,124,189,221,214,214,214,212,174,183,187,190,196,201,205,209,209,226,238,211,156,184,192,184,184,163,141,118,123,120,197,221,214,215,215,213,176,184,187,190,196,201,206,210,210,226,237,219,161,157,183,139,156,173,161,138,114,114,206,221,216,217,215,214,177,184,188,192,197,202,208,211,211,235,230,207,174,144,189,172,127,180,178,152,132,105,183,228,217,217,216,215,177,185,189,192,198,203,208,211,213,235,223,211,176,123,183,236,146,169,204,161,145,116,150,231,217,218,217,216,178,187,188,192,199,204,209,213,212,235,248,223,166,154,150,186,142,192,196,165,148,121,145,230,218,220,218,217,179,186,189,192,199,205,210,215,213,232,247,233,185,199,135,158,211,196,185,152,145,114,156,232,219,221,219,218,179,187,190,193,200,205,210,214,215,227,250,222,198,180,152,201,221,178,179,172,138,109,170,233,219,221,220,220,179,188,190,194,202,207,210,215,217,224,247,219,217,182,189,231,206,188,180,179,148,104,193,231,221,221,221,221,179,187,189,194,200,205,210,215,217,220,239,221,217,190,198,229,203,190,169,161,133,113,219,226,222,222,222,221,179,186,188,193,200,206,210,213,216,221,232,222,213,197,172,202,185,166,149,139,107,145,234,222,223,221,221,220,181,186,189,194,201,206,211,213,222,199,196,230,210,189,161,164,166,157,140,126,105,198,232,224,223,222,222,220
11,159,162,164,166,167,168,169,170,171,171,172,171,171,174,173,174,173,172,172,172,171,170,170,171,169,167,166,165,160,164,166,166,168,170,171,171,172,173,173,175,178,168,177,177,176,174,174,175,173,172,172,172,172,171,168,167,164,166,168,170,170,171,173,174,175,176,174,184,193,126,176,179,177,176,176,177,177,175,174,174,174,173,171,170,166,167,169,172,172,173,175,177,177,179,173,199,191,108,172,179,178,177,178,179,179,178,178,177,175,174,172,171,166,169,172,173,174,174,176,178,179,179,176,222,173,107,179,179,180,180,179,179,180,179,179,178,177,176,175,173,170,171,173,174,175,176,178,180,182,176,193,231,138,119,187,179,180,181,182,181,181,180,180,180,178,177,177,175,171,173,174,176,177,178,179,181,183,175,217,223,117,150,189,181,183,184,185,183,181,181,182,182,180,178,178,177,173,175,177,179,180,180,180,183,178,191,233,193,108,171,188,185,185,185,186,184,183,184,185,183,181,180,180,179,173,176,178,179,181,182,184,184,184,222,228,150,112,190,187,187,187,187,187,187,186,186,185,184,184,182,180,181,175,177,179,181,182,184,185,181,202,233,214,109,138,196,186,187,188,189,188,188,187,187,187,186,186,185,182,182,178,180,181,182,184,185,187,183,216,233,194,91,173,195,188,189,187,189,189,189,189,188,187,186,186,185,185,184,179,180,183,184,186,187,187,192,230,233,176,148,207,167,187,192,189,190,191,192,192,190,188,189,187,186,186,185,180,182,184,185,188,188,182,210,233,230,227,223,191,117,166,197,190,192,193,192,193,192,191,190,188,187,187,187,180,182,186,186,184,189,200,228,232,232,232,180,121,105,150,199,191,193,194,194,193,193,191,191,191,190,188,187,181,183,186,188,210,225,232,232,232,219,201,162,104,101,133,199,192,194,195,195,195,194,193,192,193,193,189,188,182,186,183,211,233,232,231,231,233,190,117,128,107,108,117,195,196,196,196,196,196,195,194,194,193,193,191,189,184,186,189,228,229,226,232,233,222,169,110,106,109,109,113,189,199,196,198,196,196,196,196,196,194,193,193,192,187,184,205,233,229,233,230,209,175,178,133,104,103,110,114,189,199,198,200,198,196,197,196,197,195,195,195,194,189,185,221,233,231,216,182,141,116,188,156,111,97,97,126,198,199,197,199,199,198,198,198,197,197,195,195,194,187,194,232,233,219,167,122,82,64,190,170,108,107,157,190,203,206,206,206,202,201,205,201,198,198,195,196,195,184,210,233,225,199,154,117,73,128,191,118,81,118,197,204,196,183,159,138,128,128,144,190,204,198,198,198,198,188,225,233,221,180,132,98,69,115,125,63,70,65,81,110,113,114,111,107,114,112,99,107,181,204,199,199,199,202,233,231,204,149,106,82,72,70,73,71,75,80,75,85,108,124,135,129,127,118,106,84,118,208,195,198,198,225,233,225,180,136,103,76,70,70,74,82,87,94,97,116,129,130,128,131,138,159,165,141,158,205,197,197,197,232,233,214,164,127,95,68,70,80,94,105,106,109,114,128,123,144,177,198,205,208,209,210,206,200,201,210,159,232,231,196,151,120,90,69,89,105,117,124,123,119,108,124,169,209,210,208,206,204,204,202,203,210,199,153,98,233,220,178,140,111,89,78,109,124,124,122,129,109,148,199,210,206,205,207,207,205,206,205,210,181,117,87,80,229,203,159,129,109,91,84,112,120,120,122,111,146,215,208,206,208,207,207,208,208,207,210,179,106,93,86,76
6,206,208,212,213,214,217,218,219,218,218,218,217,217,215,213,213,212,211,210,208,206,204,204,201,202,200,198,197,208,212,215,215,216,218,219,220,220,218,219,219,219,218,216,214,213,212,212,209,207,206,206,205,206,203,200,198,211,214,216,217,219,221,221,221,221,220,220,221,221,219,217,216,217,215,214,213,212,209,207,207,205,204,202,200,214,216,217,218,222,221,222,222,222,223,223,222,221,220,221,218,218,217,216,215,215,212,209,208,206,205,203,201,214,218,221,220,222,224,225,224,224,225,224,224,223,222,219,220,218,216,216,216,215,214,211,210,208,207,205,204,216,219,222,222,224,224,225,226,225,225,225,223,223,222,221,223,222,220,221,221,220,220,218,214,210,209,206,204,218,219,224,224,226,229,228,227,226,226,227,229,228,226,223,222,218,212,202,196,197,187,178,174,172,147,180,199,221,223,224,225,227,229,229,229,229,228,224,209,200,204,201,185,165,149,126,145,162,171,153,151,150,120,182,200,222,225,227,228,229,230,230,232,232,214,198,161,151,154,160,172,158,141,131,135,152,164,143,136,126,104,124,145,222,224,229,231,231,231,234,230,225,212,195,174,156,138,96,123,133,128,102,82,92,83,83,85,97,106,130,170,224,226,230,231,232,235,229,225,213,193,188,173,169,168,95,50,50,45,51,97,134,161,178,198,214,215,219,218,226,228,231,235,234,228,214,217,190,172,180,181,187,141,77,55,33,122,188,222,234,234,230,227,223,220,217,214,227,230,235,231,222,211,208,194,181,177,173,183,184,122,59,56,48,111,244,229,225,223,222,222,222,220,219,216,227,231,229,222,212,210,200,190,188,176,170,182,171,155,109,58,55,31,135,245,226,226,225,225,224,221,219,217,233,224,219,219,212,205,192,186,182,173,168,170,171,174,135,74,48,57,47,205,236,227,226,225,224,223,220,219,196,230,221,212,202,198,186,178,172,166,165,167,175,172,121,71,54,58,29,159,247,227,228,227,225,224,224,222,62,145,231,222,199,187,176,167,164,163,161,163,171,172,138,82,48,51,54,215,237,231,229,229,229,226,224,222,60,43,98,196,199,179,178,173,168,166,168,165,174,171,160,106,51,45,53,222,238,233,231,231,229,227,225,224,54,57,23,44,151,196,174,166,166,164,170,172,171,172,152,96,56,58,35,195,247,232,232,231,229,230,227,225,51,31,26,13,30,130,166,166,169,168,161,149,145,140,111,85,66,63,52,221,245,235,234,232,231,230,227,225,30,21,18,25,19,15,97,159,164,157,146,130,119,106,88,78,75,74,36,147,255,235,236,233,232,230,229,225,19,27,25,21,16,14,9,78,157,159,140,122,108,122,111,72,75,74,29,147,255,235,237,236,233,232,229,227,21,28,30,20,10,18,13,0,72,134,117,99,75,98,70,51,69,71,134,240,242,239,239,236,234,234,232,230,24,28,21,14,9,11,3,5,0,66,70,67,129,217,191,164,194,220,249,244,242,241,240,238,237,234,232,231,23,21,9,6,5,3,1,0,0,0,77,222,254,255,255,255,255,252,243,244,243,242,240,239,237,235,232,230,24,8,3,1,4,0,0,0,0,34,243,255,247,248,247,245,245,244,244,242,241,242,239,238,236,233,231,229,16,0,0,1,0,0,0,0,0,106,255,242,250,249,249,247,247,244,242,241,241,240,239,238,236,233,232,227,8,3,2,0,0,0,0,0,0,151,255,248,251,248,249,248,248,246,245,243,242,240,239,239,238,235,230,225
3,159,161,164,166,169,171,173,173,173,174,174,174,174,173,172,171,184,179,116,149,168,166,165,163,161,159,158,156,161,164,166,168,171,173,174,176,177,177,176,175,176,175,174,173,186,169,105,130,171,168,166,165,163,161,159,157,162,166,168,170,173,175,176,178,179,179,179,178,178,177,176,175,186,162,104,121,172,169,167,167,165,162,160,159,164,167,170,172,174,177,179,180,181,181,181,180,179,179,178,177,186,164,105,117,172,171,170,168,166,164,163,160,167,169,172,174,176,179,181,182,183,183,183,182,182,181,180,179,191,184,120,112,171,172,171,170,167,166,164,161,169,171,173,177,179,181,183,185,186,186,186,185,184,183,182,180,196,188,120,106,171,173,172,171,168,166,165,164,170,173,176,179,182,184,186,187,187,187,188,187,186,185,184,181,199,180,113,103,173,176,174,172,170,167,166,166,171,175,179,181,184,186,188,189,190,190,190,190,188,188,186,183,201,179,115,105,175,178,176,174,172,169,167,166,173,177,181,184,186,188,191,192,192,193,193,192,191,190,188,187,204,174,115,104,176,179,178,176,174,171,169,167,175,179,183,186,188,191,193,194,195,195,195,194,193,192,192,181,165,137,95,104,180,181,179,177,175,172,170,168,176,181,185,188,190,193,195,196,197,197,197,196,194,196,207,174,117,82,66,121,185,183,181,179,176,174,171,169,178,183,187,190,193,195,197,198,199,199,198,197,193,176,170,172,136,93,57,149,188,185,184,181,179,176,173,171,180,184,188,191,194,197,199,200,200,201,196,203,202,147,102,146,187,122,88,135,173,185,186,183,180,178,175,173,181,185,189,192,196,198,200,201,200,202,171,141,177,149,109,126,192,123,97,86,115,135,180,184,181,180,178,175,181,186,190,194,198,200,201,203,214,212,169,121,139,164,124,105,164,128,113,97,118,99,158,187,182,180,179,177,183,187,192,195,198,201,202,210,217,204,186,146,115,159,121,93,135,133,122,109,114,85,148,189,184,182,180,178,183,188,192,196,199,202,204,219,217,192,191,152,107,135,117,91,126,107,95,117,101,77,142,191,186,184,181,180,182,187,192,196,199,201,203,216,208,172,171,145,98,108,110,80,146,147,86,133,120,78,123,190,186,183,181,179,185,188,193,198,200,203,205,208,206,184,169,129,82,99,98,66,145,154,90,122,123,76,110,190,187,183,181,179,185,189,194,198,200,203,205,211,217,200,178,123,98,104,109,88,137,140,117,115,102,73,144,191,187,185,184,182,185,191,196,199,201,204,206,211,222,209,190,128,105,105,128,141,179,164,135,114,78,97,187,193,191,186,166,132,182,188,193,196,199,201,204,207,221,215,190,142,121,118,169,192,178,148,115,101,76,142,186,159,134,108,71,49,138,139,141,142,144,143,142,145,202,210,185,160,136,129,176,188,159,128,104,90,70,93,80,49,35,30,31,32,114,116,115,116,115,114,113,108,166,206,185,165,146,121,149,158,133,109,91,72,45,32,28,26,29,27,23,25,118,118,118,118,118,119,123,101,104,193,185,166,144,111,111,109,103,88,70,47,30,28,29,24,24,30,28,23,120,120,119,118,118,118,117,90,54,120,166,161,126,94,92,90,87,63,33,40,24,19,26,26,21,24,29,29,120,122,122,121,120,120,111,71,53,57,90,112,99,92,84,77,63,28,4,26,33,13,17,24,23,21,24,29,121,121,121,120,120,120,96,60,56,53,49,61,82,76,61,51,30,6,2,17,35,22,8,20,23,21,21,27
4,115,122,138,149,155,160,165,169,172,175,176,178,181,183,186,189,190,191,193,193,195,196,197,198,198,198,198,199,116,124,140,151,156,163,165,170,173,175,177,180,181,184,185,188,193,194,194,198,197,197,198,200,200,199,200,201,117,126,142,151,157,162,166,171,175,176,175,177,182,187,193,187,175,186,194,184,194,202,199,201,202,202,202,203,119,126,144,152,158,163,168,172,176,175,194,195,176,180,222,197,145,122,176,151,129,198,204,201,204,203,204,203,119,129,145,153,160,165,168,171,181,182,180,209,206,151,174,188,138,99,131,152,105,160,212,201,204,205,205,204,119,132,148,153,161,165,170,169,207,205,174,157,170,143,126,166,129,95,147,158,101,146,215,202,205,206,207,206,119,133,149,155,162,167,168,184,221,214,193,161,115,114,123,195,137,104,181,142,85,157,215,204,207,208,208,209,121,135,150,155,162,168,164,203,201,178,186,138,107,99,118,181,146,178,184,144,93,175,213,205,208,209,210,210,121,138,151,155,162,169,166,210,180,163,182,116,96,107,90,136,173,193,168,169,137,164,216,207,209,210,211,212,123,138,151,157,163,169,170,222,193,180,169,126,85,137,162,172,176,164,159,183,165,141,177,218,211,212,212,212,125,142,153,158,164,166,180,224,181,159,150,127,70,143,177,158,158,123,154,197,184,174,134,183,219,211,213,214,127,144,153,158,165,164,190,217,171,147,129,102,75,79,111,120,109,105,152,183,197,185,154,125,197,217,214,214,128,145,154,159,167,162,208,224,183,159,143,119,94,81,87,89,131,200,196,191,188,171,165,127,145,222,213,216,129,145,154,161,168,163,223,221,183,173,148,120,105,103,135,180,212,218,202,190,172,144,146,125,146,223,214,218,130,146,155,161,167,167,232,222,202,181,147,131,116,127,192,217,221,220,203,180,161,133,126,116,187,221,217,218,130,147,155,160,166,171,241,226,206,175,147,144,122,164,211,212,221,216,194,169,148,129,111,138,221,216,218,219,133,148,156,162,166,170,236,227,200,172,158,158,142,185,208,208,215,207,182,159,141,124,105,189,224,217,219,220,136,149,156,163,169,172,235,224,196,183,182,167,164,194,204,212,204,189,169,148,136,112,138,223,217,218,219,221,135,150,156,163,169,171,223,223,208,199,191,171,174,198,203,203,187,172,156,139,126,107,195,224,218,219,221,221,138,149,155,163,170,168,209,229,220,207,189,169,157,182,190,185,173,159,146,133,108,146,225,218,220,220,223,222,140,150,155,163,171,170,195,229,210,202,186,164,148,168,177,173,159,146,136,122,112,206,222,221,222,222,223,223,141,151,156,163,171,173,186,224,200,186,175,155,155,167,178,173,156,140,132,105,169,226,218,222,223,223,224,224,143,150,157,165,171,175,181,213,187,179,168,158,174,162,163,166,147,133,113,123,219,220,221,222,224,224,224,225,143,151,159,166,172,177,179,216,190,186,175,179,184,163,149,155,140,126,103,176,226,218,220,221,224,225,226,226,143,151,159,166,173,174,209,210,208,190,182,181,171,157,142,144,135,122,106,204,223,218,221,224,224,225,225,227,144,151,159,168,166,192,225,205,183,189,189,178,161,152,136,133,126,118,102,203,224,219,222,224,225,225,226,227,146,151,160,166,173,225,211,218,193,141,176,170,155,147,124,123,122,113,103,205,223,222,224,224,226,226,227,227,146,152,163,162,198,225,208,211,225,176,123,149,151,141,116,120,119,110,99,201,223,223,224,225,226,227,227,227
8,77,85,90,95,100,105,108,111,114,117,120,122,123,124,126,127,127,127,127,128,128,128,128,127,128,127,127,126,81,87,92,99,104,109,113,114,120,122,124,126,128,128,129,129,129,130,130,130,130,129,129,129,128,127,127,126,86,92,96,103,110,115,117,136,110,126,130,131,133,133,134,133,132,134,136,135,134,133,132,132,131,130,130,128,89,97,100,107,114,118,124,158,84,113,140,136,138,138,139,139,139,138,139,139,138,137,136,136,135,134,133,131,91,99,103,110,117,121,132,171,80,99,148,141,144,145,145,145,145,144,143,143,145,144,140,141,140,140,139,137,96,102,106,114,122,124,136,179,79,98,154,146,149,150,152,150,148,151,153,152,138,143,149,146,145,145,144,141,100,105,110,118,125,129,138,176,86,97,159,151,153,151,149,157,169,114,113,178,135,89,143,153,150,150,149,146,103,108,114,122,128,134,142,183,100,89,161,154,164,169,112,141,180,123,79,142,148,95,96,161,155,155,153,151,106,111,119,126,134,138,146,185,121,95,155,157,189,199,172,159,137,131,142,165,111,69,70,144,162,158,157,156,108,113,121,131,138,141,147,186,148,124,146,178,188,189,193,149,135,139,147,148,117,70,34,120,171,160,161,159,111,117,125,134,141,147,148,181,155,146,168,182,157,134,199,154,128,141,120,106,130,93,36,131,173,163,163,162,115,119,128,137,143,151,150,177,175,153,172,178,161,105,143,175,97,73,66,116,148,109,61,152,174,168,167,164,117,122,131,141,147,153,153,177,194,132,160,153,144,126,112,167,106,41,28,157,168,130,69,116,182,169,170,168,120,125,133,143,149,155,156,176,202,128,113,148,108,111,107,144,130,87,33,132,192,150,89,63,172,176,173,171,122,127,137,146,151,158,160,173,200,161,89,112,113,98,117,139,145,89,130,187,176,151,100,47,140,186,175,175,122,129,140,148,155,161,164,173,206,183,119,83,130,103,141,180,148,129,187,192,154,116,93,55,141,190,177,177,124,132,142,149,156,162,168,172,207,191,145,94,101,113,148,191,179,199,197,168,142,103,74,64,172,185,180,183,128,133,144,153,158,163,169,174,206,200,167,122,93,114,139,194,194,203,193,160,124,94,53,99,204,195,191,172,128,134,145,153,160,165,170,175,204,206,179,141,112,118,131,184,201,198,177,145,111,84,47,154,172,122,85,43,129,134,146,155,162,166,172,173,198,205,188,153,137,125,126,164,198,193,165,129,99,74,49,68,34,15,18,24,129,136,147,157,162,168,174,175,191,200,194,165,151,144,115,147,178,186,157,116,93,66,34,8,16,18,14,27,130,138,149,158,164,169,175,178,183,197,196,176,157,154,111,141,157,176,145,108,82,60,23,8,10,24,7,13,130,138,150,158,164,169,175,180,177,189,193,179,163,148,111,114,151,149,132,94,73,43,21,9,0,17,20,6,128,137,149,158,163,168,174,179,180,176,191,180,164,142,114,93,135,133,115,86,67,15,3,24,0,1,21,14,130,139,150,158,164,168,173,178,184,174,197,192,168,142,115,91,111,126,102,80,53,0,0,17,16,0,8,18,131,140,151,158,164,170,175,180,184,177,194,188,159,135,116,93,99,110,94,67,38,6,0,0,21,8,0,14,131,140,152,159,166,170,175,179,185,168,198,168,140,140,125,99,91,98,95,55,16,22,0,0,12,20,0,2,128,136,145,153,160,167,173,179,177,135,209,171,151,158,135,101,85,91,91,40,0,23,0,0,1,20,10,1
6,197,199,201,204,206,207,208,209,209,209,208,207,206,204,204,204,201,200,198,197,195,194,190,188,187,185,182,180,197,199,204,207,208,208,209,210,211,211,209,208,206,207,206,205,205,202,199,199,198,197,194,191,189,187,184,182,200,204,208,208,209,210,212,213,214,213,211,211,211,209,207,206,206,204,203,200,199,198,196,193,190,188,186,184,201,205,209,210,210,212,214,215,215,214,214,213,211,211,209,208,207,207,205,204,201,199,197,195,192,190,188,187,203,207,210,210,213,215,215,215,216,216,215,214,214,213,212,210,209,208,205,205,203,200,198,196,193,191,190,188,202,208,211,212,215,216,216,217,216,216,217,217,216,214,213,212,210,208,206,207,204,202,201,200,196,192,192,189,204,207,211,214,216,216,216,216,217,217,216,215,216,216,215,216,216,215,213,209,209,208,206,198,193,188,186,188,205,209,212,215,217,216,216,217,217,218,222,223,223,221,217,209,198,181,165,147,132,143,145,134,118,139,169,150,206,211,214,214,215,218,221,224,222,218,204,185,171,166,159,152,142,133,121,110,98,115,113,117,114,117,134,111,206,210,215,219,221,214,200,185,176,164,145,132,125,129,134,144,142,134,109,100,89,84,85,91,88,88,113,157,211,214,211,200,185,157,142,141,138,134,130,114,90,95,100,88,85,87,93,106,124,144,158,169,175,187,200,200,188,168,155,154,152,146,143,143,141,140,137,124,77,53,42,103,154,177,199,212,222,220,217,213,211,204,198,195,161,152,156,162,159,155,153,154,153,154,149,132,82,63,56,165,223,237,229,216,212,209,207,207,205,202,200,198,165,162,158,156,152,149,146,141,143,148,133,97,64,67,77,64,76,125,193,225,215,214,211,209,206,203,200,199,168,162,157,154,150,144,137,132,127,124,108,79,64,71,79,81,75,57,57,155,224,213,212,209,207,204,203,200,164,158,153,148,146,137,133,129,125,134,130,93,54,46,65,86,88,86,66,75,221,214,214,212,208,206,204,200,157,150,146,138,134,129,128,121,125,140,143,99,59,51,44,39,53,75,50,120,229,215,214,213,209,207,205,202,151,146,134,126,127,123,120,108,111,121,103,74,66,71,71,56,33,58,144,217,221,218,215,214,211,208,206,203,136,135,128,118,115,111,106,95,91,98,79,52,55,69,73,70,55,80,230,223,219,217,215,213,212,209,206,204,124,132,126,117,109,106,104,100,104,108,86,45,33,49,66,74,60,47,204,224,217,217,215,213,213,211,206,204,108,124,127,123,113,101,97,103,114,107,80,58,63,60,46,49,66,144,229,221,221,220,217,215,213,210,206,205,67,83,99,111,107,97,92,91,88,71,57,54,57,61,36,96,218,232,225,224,222,219,217,216,213,209,207,206,0,84,147,105,81,87,92,101,102,119,145,141,99,71,93,202,238,223,226,224,222,220,217,215,214,213,209,205,0,172,242,218,203,211,219,227,231,239,242,242,235,220,236,232,224,226,225,223,221,218,216,214,213,211,208,205,42,216,217,221,227,228,227,228,229,227,226,227,229,231,227,224,224,224,223,222,219,216,214,212,210,208,206,203,157,224,216,219,221,223,224,227,230,230,230,230,229,228,227,225,225,223,222,221,219,216,214,212,210,208,207,204,216,213,218,220,223,224,226,228,230,230,230,230,230,230,229,226,225,223,222,221,219,216,215,213,210,207,205,204,207,215,218,220,222,225,226,228,228,229,229,229,229,229,229,227,224,222,222,221,218,216,213,209,210,207,204,203
2,171,172,173,173,173,174,175,174,174,173,174,173,172,173,172,171,170,169,168,166,165,165,163,162,160,158,157,156,172,173,174,175,175,176,176,176,177,176,175,174,174,173,173,173,172,172,170,167,166,166,163,161,160,158,157,156,174,175,176,177,178,178,178,178,178,177,177,176,172,163,163,164,158,153,148,152,166,166,164,163,162,161,159,158,177,177,178,179,179,179,180,180,180,179,179,175,157,146,146,147,143,123,105,97,135,165,167,165,164,163,161,160,178,179,179,180,180,180,181,181,181,181,179,166,153,148,139,133,138,111,93,107,118,121,143,165,166,164,163,161,179,180,181,181,182,183,183,182,183,183,180,171,159,142,123,109,99,76,71,89,99,82,81,152,168,166,164,161,180,181,183,183,184,184,185,185,184,178,168,163,145,107,80,69,83,98,140,135,108,84,109,164,168,167,165,163,181,182,184,185,185,186,186,187,186,175,161,141,108,68,52,61,164,178,178,177,173,168,171,171,169,168,166,164,182,183,185,186,186,189,188,188,186,172,149,103,67,52,53,96,181,181,180,180,178,176,175,173,171,170,168,166,184,185,186,187,188,189,189,189,186,173,140,76,50,45,56,153,183,183,181,180,179,177,175,174,172,171,169,167,185,186,187,188,189,189,190,190,185,171,133,72,49,48,82,183,185,185,183,181,180,179,175,165,160,169,170,167,186,187,189,190,191,191,192,187,182,166,119,63,58,58,90,186,186,186,184,182,181,176,140,109,100,140,171,169,187,188,188,190,193,192,193,187,182,161,110,72,66,60,102,188,187,187,185,183,180,144,112,103,93,129,172,170,188,189,190,191,193,194,193,185,182,161,114,84,65,57,122,190,188,188,187,183,152,111,111,100,91,158,172,171,188,190,192,193,194,194,192,184,180,159,115,87,63,57,90,184,188,188,187,162,103,95,99,88,124,174,173,172,189,192,193,193,195,195,192,184,178,154,118,90,62,60,63,102,158,188,165,117,91,85,88,86,168,177,174,173,190,192,193,194,194,195,191,184,178,153,116,83,63,61,65,71,85,127,100,94,97,85,77,142,179,178,176,174,191,192,194,195,195,196,188,184,186,153,114,88,63,62,66,72,79,80,78,86,86,85,149,180,180,179,177,174,190,193,194,196,196,197,184,190,185,147,110,87,65,62,68,72,79,83,75,82,84,156,183,182,181,180,178,175,191,192,194,196,198,197,183,193,177,139,107,89,67,63,70,74,80,83,76,70,145,185,184,182,181,180,178,175,193,194,195,197,199,196,184,190,169,133,108,90,67,63,73,78,81,79,71,125,184,187,184,182,181,180,179,176,193,194,196,198,198,193,185,184,158,130,111,88,67,63,77,80,80,71,93,185,189,187,185,184,183,180,179,178,194,195,197,199,199,191,181,172,149,125,105,84,65,64,77,75,72,66,160,191,190,188,187,186,183,181,180,178,194,195,197,198,199,190,178,165,145,120,102,83,64,64,73,70,63,130,192,193,190,190,187,186,185,182,179,179,194,195,197,198,198,188,170,158,136,113,96,79,65,63,65,63,121,192,194,193,192,191,188,186,185,183,180,179,194,196,197,198,195,187,166,155,134,111,91,75,61,59,72,140,192,196,195,193,192,191,189,187,184,183,181,180,194,196,197,197,194,182,163,150,133,109,85,66,55,104,181,199,198,197,195,194,192,190,189,187,185,184,182,180,194,196,198,195,187,164,150,146,129,101,73,59,67,183,200,200,199,197,196,195,194,192,191,188,185,184,182,179
12,195,196,197,199,201,201,202,203,203,203,203,204,204,205,205,205,205,206,206,205,205,205,206,205,205,204,203,203,197,199,200,200,201,202,203,205,204,205,205,205,205,206,206,207,207,208,208,207,207,207,207,206,206,205,204,204,199,200,201,202,203,203,204,207,206,206,206,207,207,211,209,201,205,207,209,208,208,208,208,208,207,207,207,206,200,202,203,204,205,206,206,207,207,212,217,209,203,230,218,184,170,211,212,194,202,208,208,209,208,208,208,208,201,202,204,206,207,208,207,207,211,245,237,208,184,237,223,174,127,200,212,175,160,209,211,210,210,209,210,209,202,203,205,207,208,209,208,208,216,253,243,205,179,239,222,184,122,205,201,164,125,195,212,210,211,210,210,210,203,205,207,208,208,210,209,211,221,242,239,208,173,241,220,193,144,215,193,146,115,171,215,212,213,212,213,213,205,207,208,208,209,209,219,236,209,205,226,225,163,228,232,182,159,219,198,143,107,156,216,214,214,213,213,213,205,207,209,210,211,211,244,240,204,164,194,198,145,203,214,153,162,222,175,129,103,148,216,215,215,215,215,214,207,209,210,211,211,223,252,244,216,163,168,156,111,128,141,130,171,187,137,107,105,145,218,217,217,216,215,214,208,210,211,211,212,236,248,245,223,181,142,147,105,96,103,186,213,197,156,144,140,153,220,218,218,217,216,215,210,211,213,212,212,242,229,237,228,191,153,112,123,118,185,240,240,221,188,178,166,160,220,219,219,217,217,217,210,212,213,214,215,250,244,220,220,197,158,114,117,166,248,251,242,223,197,173,153,141,221,220,220,218,218,218,212,214,215,215,226,254,246,214,206,198,170,136,111,226,253,250,241,223,197,165,141,139,222,222,222,220,219,220,213,215,216,216,227,254,250,230,197,193,195,177,145,249,253,251,241,221,187,160,135,138,224,222,223,222,221,221,213,215,217,218,222,254,252,233,206,182,181,198,216,253,252,250,240,215,185,158,135,127,222,224,223,223,222,221,215,216,217,218,224,255,253,241,225,215,193,229,241,254,247,246,239,210,188,152,130,126,222,226,224,223,223,222,216,216,218,219,227,255,254,249,237,231,214,228,235,253,244,240,231,213,182,146,124,147,227,226,226,225,225,225,216,217,219,221,225,254,255,252,243,233,221,227,225,248,239,229,221,210,170,136,115,193,227,226,227,226,226,225,217,218,220,222,222,251,254,253,245,229,216,224,226,241,232,221,216,198,155,124,133,224,228,227,227,227,227,227,218,219,221,223,222,243,254,250,241,223,212,219,224,235,229,218,205,178,137,112,190,230,230,228,228,227,228,227,219,220,221,224,221,237,247,231,224,213,207,215,220,233,222,205,186,155,116,140,227,230,231,229,228,228,229,228,208,197,187,178,164,158,157,139,132,130,125,127,120,122,116,112,111,105,93,187,230,231,232,231,231,230,231,230,156,148,141,138,122,111,109,102,92,85,80,76,65,62,62,59,56,54,56,81,134,217,231,231,230,230,229,229,151,140,138,131,120,111,106,99,91,84,79,72,62,60,58,56,52,50,49,49,54,202,230,230,230,229,228,228,172,138,137,132,120,112,104,98,90,82,78,69,62,60,60,58,52,49,48,46,119,230,231,231,230,229,230,229,191,139,137,128,119,112,101,96,88,81,76,69,62,61,60,57,51,46,46,44,191,233,233,233,231,231,232,231,202,140,136,129,121,112,105,95,88,79,73,70,62,61,59,56,51,46,48,54,217,234,235,235,233,232,232,232
14,195,196,197,197,198,200,200,202,211,217,199,171,144,131,165,192,197,199,200,200,201,201,200,200,199,198,198,197,196,197,199,199,199,200,203,214,222,201,161,136,121,117,142,173,177,179,197,201,201,201,201,201,200,200,199,199,197,199,200,201,200,203,221,229,210,167,126,114,109,111,134,154,147,149,193,203,203,204,204,203,202,202,201,200,199,201,202,202,201,214,238,219,171,131,110,109,103,101,115,129,127,151,196,204,204,205,205,204,204,203,202,201,201,202,203,203,203,225,242,201,136,102,93,98,103,109,111,120,134,154,179,197,205,206,206,206,206,205,204,203,201,202,204,205,208,234,240,191,127,96,89,92,102,111,104,114,144,154,147,174,205,207,208,208,207,206,205,205,202,203,205,207,214,241,233,177,121,100,99,91,94,102,101,105,121,130,125,169,204,209,209,209,209,208,207,207,203,205,207,207,219,246,230,174,120,103,106,98,101,111,117,116,114,118,120,148,173,200,209,210,210,210,209,209,206,207,208,208,226,250,235,189,137,109,102,103,108,109,116,119,127,134,134,135,143,177,205,211,211,211,210,210,207,209,210,211,236,252,237,194,147,116,100,109,114,122,146,165,185,181,165,153,161,166,195,213,213,212,212,212,209,210,210,215,242,253,238,195,149,120,103,108,119,170,204,210,214,213,201,178,177,165,196,215,214,214,213,213,210,211,212,219,246,254,241,201,155,121,105,104,133,197,217,217,218,217,197,175,175,163,199,216,216,215,214,214,212,213,214,223,249,254,244,208,163,125,104,112,172,214,219,219,219,217,191,171,172,158,195,217,217,216,215,216,214,215,215,225,249,254,245,212,169,130,104,129,201,220,220,220,220,216,184,165,169,151,181,217,219,218,217,217,215,216,217,226,250,254,246,216,174,136,108,149,214,221,222,222,221,206,173,163,165,150,170,215,220,219,220,219,216,217,218,227,250,254,247,218,177,140,113,147,200,213,216,219,209,175,164,170,164,151,180,218,221,220,220,220,217,217,218,228,250,254,247,218,179,146,121,111,135,156,166,179,172,153,161,166,158,166,207,222,222,221,220,220,217,218,218,229,251,254,247,217,182,157,133,106,106,117,128,139,143,147,158,158,158,194,221,224,223,222,221,221,219,219,220,233,252,254,246,217,190,170,144,115,111,122,132,141,145,146,149,151,179,217,226,225,224,223,223,222,220,221,222,236,253,254,246,222,200,178,150,125,119,131,138,143,146,144,139,159,209,227,227,227,225,224,224,223,221,222,224,239,253,254,248,230,208,181,152,131,122,132,140,142,144,141,145,190,225,228,228,227,226,226,225,225,222,223,225,242,254,254,249,235,212,180,149,131,123,130,139,139,140,143,181,220,229,228,229,228,228,227,227,227,222,223,227,245,254,254,249,234,206,166,135,123,120,127,135,137,137,163,215,230,230,229,229,229,228,228,228,227,222,221,225,241,244,242,232,212,179,137,113,111,114,123,129,133,147,199,229,231,231,231,231,230,229,229,228,228,188,180,174,177,169,161,148,133,115,93,83,88,101,114,123,140,185,225,232,232,232,232,232,232,230,230,229,230,130,121,112,106,99,92,83,77,73,65,57,59,69,87,116,176,222,232,233,233,233,232,233,233,232,231,230,231,113,108,99,93,88,82,74,70,67,59,52,50,51,56,100,205,234,235,235,235,235,234,234,234,233,232,232,232,112,106,98,91,85,80,72,68,64,58,50,48,48,50,99,212,236,237,236,236,236,234,234,234,233,233,233,233
0,199,199,199,198,199,198,198,197,197,199,198,199,198,197,196,195,195,195,193,194,191,190,191,191,189,188,187,186,200,201,200,200,201,201,201,201,201,200,199,200,200,199,198,197,196,195,194,194,194,193,193,192,189,188,188,187,202,202,201,202,202,201,201,201,201,200,202,203,201,201,199,199,198,197,196,197,197,195,196,194,193,191,190,188,202,202,202,202,201,201,201,201,202,202,203,203,203,202,201,202,201,200,201,201,197,194,192,195,195,193,192,191,203,203,204,203,202,203,202,202,203,203,203,204,203,203,196,179,187,203,182,166,188,185,152,195,195,195,194,194,203,204,205,205,205,204,204,204,205,204,205,207,207,201,168,130,109,145,146,118,114,173,122,167,200,195,195,193,205,205,206,206,206,207,206,205,207,209,206,186,157,163,164,131,100,77,143,123,82,147,141,119,205,197,195,194,207,206,206,206,207,207,207,205,185,178,192,171,121,85,146,139,122,89,147,126,89,125,158,91,148,204,196,196,207,208,208,208,206,206,204,194,157,109,165,163,122,81,133,147,134,90,151,130,88,94,158,118,90,149,201,196,209,208,208,208,208,207,194,188,158,115,147,168,131,96,126,151,127,85,153,135,85,60,153,140,106,82,197,197,209,209,209,209,209,204,182,177,169,139,132,174,132,102,107,152,127,73,126,113,73,66,160,153,97,95,204,199,209,209,209,210,210,198,176,156,167,147,121,166,128,100,88,150,120,54,64,70,47,105,176,148,77,145,208,200,211,211,211,211,209,196,189,148,150,138,99,143,133,105,64,90,79,29,46,57,82,161,175,131,74,190,202,201,211,213,213,212,208,189,170,121,121,99,56,102,125,95,43,32,45,84,133,127,140,175,158,100,104,210,201,201,212,214,214,213,205,188,179,145,111,73,48,55,80,56,36,58,122,169,169,163,142,153,139,64,147,211,203,201,213,215,214,214,205,188,189,166,128,104,90,86,96,100,120,152,175,176,168,163,132,114,101,54,185,207,204,202,213,215,214,215,205,188,195,172,142,122,107,116,141,170,180,186,189,179,159,152,118,85,58,112,212,206,205,203,213,214,213,215,206,183,197,175,149,122,117,127,166,187,192,194,189,169,149,136,101,55,82,201,209,207,205,205,210,212,212,213,209,175,186,176,155,130,125,138,183,194,192,192,179,154,134,115,74,63,190,211,207,206,206,205,211,213,214,214,215,180,182,181,161,146,139,152,186,192,190,181,159,142,120,92,51,163,213,207,207,206,204,203,214,214,214,214,217,192,172,181,174,161,143,156,182,183,182,169,140,122,101,55,125,215,209,208,207,206,204,204,214,214,214,215,216,206,170,178,173,155,139,149,174,168,162,144,121,100,63,89,207,212,208,209,207,207,206,204,214,214,214,215,215,215,178,173,166,147,137,143,163,155,142,124,97,60,67,193,213,211,210,209,208,208,207,206,214,214,214,214,214,214,183,174,159,140,136,138,156,148,126,104,67,62,185,215,212,211,212,209,208,207,207,206,216,215,215,215,217,206,179,172,164,157,155,146,150,144,113,82,48,174,217,213,212,211,212,210,209,208,207,206,205,208,209,210,213,190,176,180,172,170,159,150,144,133,95,57,95,221,217,217,217,215,214,213,212,210,209,207,126,130,132,134,134,153,179,189,181,170,160,150,136,108,84,51,113,182,181,182,185,188,189,189,191,192,193,193,104,103,101,100,96,142,180,190,176,168,159,148,112,96,76,50,79,104,104,104,104,106,106,107,109,111,112,111
10,75,82,93,98,101,106,109,110,113,116,118,119,121,122,123,125,127,129,129,130,131,132,134,134,135,136,137,137,76,83,94,99,102,106,109,111,114,117,119,120,121,123,126,126,123,124,132,131,133,134,135,135,136,137,139,139,77,86,97,101,103,108,110,112,116,118,119,121,122,125,125,134,124,93,132,133,134,135,137,137,139,141,141,141,79,87,97,101,104,108,112,114,116,118,120,122,124,127,125,142,132,81,122,136,135,137,138,140,140,141,142,143,80,89,98,102,105,108,112,115,117,119,120,123,126,127,125,143,135,86,113,139,136,139,140,141,141,142,143,143,80,90,99,102,105,110,114,116,117,119,121,122,125,130,127,137,141,99,103,142,136,139,140,142,142,143,143,144,82,91,100,102,107,111,114,116,117,119,121,125,130,107,126,140,150,112,91,142,138,140,141,143,143,142,143,145,83,94,101,104,108,112,114,117,119,120,121,127,139,87,93,144,148,123,85,135,141,141,142,142,143,145,146,146,84,94,101,104,108,112,114,119,123,125,125,137,126,92,69,139,140,120,82,131,144,143,143,142,144,145,145,145,86,95,102,105,108,114,126,102,94,92,99,131,137,110,70,120,138,110,79,121,146,143,144,144,146,146,147,147,86,96,102,105,108,117,118,85,63,59,57,76,139,124,72,94,128,98,79,112,148,142,145,146,146,148,148,148,88,98,102,107,111,115,111,92,69,58,77,65,114,136,84,88,110,84,79,100,150,143,146,147,147,149,149,148,88,97,103,107,111,115,120,120,118,101,78,57,105,142,98,78,84,72,79,90,150,144,147,147,148,149,149,148,89,98,102,107,111,116,119,116,145,138,78,52,126,144,107,64,59,71,81,83,147,146,147,148,149,149,149,149,89,98,102,107,111,114,117,117,146,133,84,43,139,146,113,73,53,73,83,72,138,149,148,149,150,149,149,149,90,99,103,107,112,112,134,133,143,141,84,36,154,146,112,77,55,69,81,64,127,153,148,149,150,151,151,151,91,100,103,107,113,110,146,144,137,136,74,81,159,136,109,73,55,62,76,56,118,154,147,149,150,151,151,152,92,99,103,109,112,113,129,145,132,128,95,156,147,130,114,76,58,62,66,58,136,151,148,149,151,151,151,152,94,99,103,109,113,117,120,127,110,128,140,169,146,125,110,81,61,63,55,79,154,146,149,149,151,152,152,153,95,99,104,109,113,117,120,130,109,144,166,163,144,121,104,81,63,60,49,112,154,146,149,149,151,153,153,152,94,99,104,108,113,118,119,145,133,120,164,158,141,120,102,83,65,55,56,141,149,149,149,150,152,153,153,152,95,100,104,109,112,116,119,155,145,114,158,156,141,118,100,84,68,48,83,154,146,148,150,151,152,152,153,153,95,101,104,109,112,116,123,161,151,135,163,151,140,121,102,86,66,46,121,152,146,150,151,152,152,152,153,154,95,100,104,109,113,115,125,167,155,144,157,153,148,123,102,87,59,61,148,147,148,150,151,152,153,153,153,154,96,100,105,111,114,116,125,165,150,149,153,150,154,128,99,86,53,90,155,145,149,149,150,152,153,154,154,154,97,100,104,109,113,116,125,159,143,145,152,151,153,131,100,82,50,121,151,146,150,150,151,152,153,154,154,154,96,100,105,110,114,116,123,143,143,154,154,149,150,126,98,72,70,148,147,147,149,151,151,152,153,153,154,155,95,100,105,110,113,117,120,149,155,160,153,144,145,121,95,62,97,153,145,148,149,151,152,153,153,153,154,155
24,139,145,151,155,158,161,164,166,167,168,169,170,170,170,171,171,170,169,168,168,167,167,166,166,165,164,161,160,141,146,153,157,158,162,164,166,168,170,172,172,172,172,173,172,171,171,171,170,169,168,166,167,166,165,163,161,142,149,153,155,163,163,166,168,169,171,172,173,173,172,174,173,172,172,173,171,170,170,168,168,166,164,164,163,144,147,165,180,144,167,168,170,171,173,174,174,174,174,175,175,173,173,173,172,171,172,170,170,168,165,165,164,147,144,186,203,114,171,170,171,172,174,175,177,176,175,177,177,175,174,173,172,172,172,171,170,168,166,166,166,148,145,190,196,108,168,172,173,174,176,178,179,180,180,178,178,177,176,176,174,173,174,173,171,171,169,167,166,150,147,189,203,105,160,176,174,177,178,178,180,181,181,180,179,179,179,177,176,176,174,174,172,171,170,169,167,151,149,183,211,116,156,177,174,177,180,180,180,181,181,181,181,182,181,179,178,177,176,175,174,173,172,171,170,153,153,178,215,121,145,182,177,180,180,182,183,181,183,185,183,183,181,180,179,178,178,177,175,175,174,172,170,152,154,174,222,143,124,180,179,180,189,184,178,198,192,171,186,182,182,183,181,180,178,176,175,176,175,174,172,153,159,171,232,174,125,215,192,163,225,187,131,211,210,132,154,194,185,185,183,182,183,181,182,177,175,175,173,154,160,169,221,182,160,252,190,171,230,191,134,205,195,146,111,184,189,187,186,183,175,168,163,179,176,175,173,156,164,166,217,204,197,255,191,170,238,182,146,223,181,135,91,156,196,185,186,161,135,114,91,156,183,176,176,158,166,166,221,228,213,255,200,152,240,170,151,221,174,111,76,146,192,186,180,136,102,107,133,170,182,179,178,159,164,175,219,221,208,242,205,143,223,173,155,210,163,83,51,139,196,184,155,112,132,183,190,184,181,180,179,161,162,186,215,186,192,220,202,137,211,179,156,207,137,64,96,157,188,145,114,123,192,190,186,185,183,181,180,163,163,195,240,171,163,202,190,129,216,170,158,201,123,159,189,174,147,104,110,183,193,189,189,189,187,184,182,163,161,201,255,189,150,191,185,144,224,146,143,206,194,208,180,150,130,98,176,199,192,192,190,190,189,186,183,163,160,204,255,203,141,183,195,178,216,131,175,233,203,184,171,133,108,154,203,192,192,191,191,190,188,186,183,163,162,204,255,206,155,173,187,173,194,205,237,219,193,178,154,113,123,201,196,195,193,193,191,189,188,186,183,164,163,203,255,214,185,166,194,237,250,253,221,203,190,169,128,103,176,202,197,197,196,195,193,191,189,188,185,163,164,192,255,227,193,181,207,249,252,242,214,189,168,148,106,154,206,197,198,197,198,195,195,193,190,190,187,162,168,178,250,230,197,190,215,254,249,226,207,174,146,117,134,205,199,199,198,197,197,193,193,193,190,190,188,165,172,182,237,217,197,192,216,241,227,205,183,158,128,121,199,209,206,207,205,204,202,200,199,197,199,195,186,135,134,141,224,208,205,201,211,227,216,184,155,138,113,122,143,136,136,136,135,134,134,135,135,134,122,127,160,107,105,99,211,218,213,210,214,221,204,163,137,124,106,100,96,94,94,93,91,90,91,92,82,77,119,176,189,115,116,102,211,239,216,219,216,210,190,151,128,114,106,108,108,108,106,105,104,102,103,101,118,182,214,193,166,115,116,99,202,252,222,229,209,195,184,154,119,105,106,106,107,107,105,105,104,104,97,137,215,215,180,178,151
13,136,138,142,150,157,161,164,166,169,172,177,179,180,183,186,187,188,189,188,190,191,190,190,189,190,191,190,189,138,140,145,152,158,162,165,167,170,174,178,180,182,185,187,188,189,190,191,192,192,192,192,191,193,194,193,191,140,143,147,154,161,164,167,169,173,176,179,182,185,187,189,189,190,191,192,193,193,193,194,194,195,195,194,193,142,145,150,156,163,166,170,172,175,178,180,183,186,189,191,192,193,187,188,195,197,196,197,196,197,196,195,195,144,146,151,158,163,168,171,175,178,180,183,185,188,190,196,215,214,174,137,167,181,193,198,198,198,198,198,197,145,148,154,160,166,170,173,177,180,182,186,188,191,190,189,205,216,171,118,91,132,137,173,199,199,200,199,199,145,150,156,161,167,172,175,178,181,185,188,193,203,162,144,156,203,174,119,85,139,124,104,199,201,201,200,200,146,150,157,162,169,173,175,180,183,187,181,210,223,194,154,114,165,198,145,90,146,118,99,199,202,202,201,201,147,151,159,164,170,174,177,181,187,199,154,142,210,217,176,119,98,189,147,92,154,131,113,203,203,204,203,202,150,153,159,165,171,175,178,183,211,216,168,125,137,223,197,132,68,110,126,83,177,137,144,205,205,205,204,203,151,155,161,168,172,177,180,207,208,218,194,144,83,197,185,126,67,50,73,80,151,119,165,207,206,206,205,205,152,156,164,170,174,178,194,210,172,196,200,149,80,154,171,118,65,43,85,122,139,118,118,204,209,208,207,207,154,158,167,172,176,181,220,210,177,172,178,130,81,122,166,136,66,83,146,156,133,109,106,168,210,209,209,208,158,162,169,175,179,191,214,188,154,147,162,112,67,91,176,147,78,153,181,164,128,99,108,119,211,210,210,210,159,164,172,178,182,204,224,196,162,128,142,110,56,59,170,142,126,197,186,159,125,101,96,114,211,212,211,211,160,167,175,182,185,209,228,202,170,122,118,106,61,99,183,183,201,195,173,141,120,95,81,160,214,214,214,213,161,169,178,184,187,217,235,212,178,137,113,114,144,181,212,216,210,186,159,131,110,88,90,203,214,215,214,214,163,172,181,187,190,224,238,221,181,157,158,155,173,194,214,211,201,176,147,126,100,78,126,216,215,216,216,216,167,176,185,190,193,225,231,230,193,177,173,155,189,198,210,207,188,162,138,116,91,71,170,218,218,217,217,217,171,181,189,195,197,216,227,233,206,189,179,163,192,210,201,193,170,146,125,105,82,99,215,220,220,219,219,219,174,183,192,198,201,205,228,228,215,195,180,168,184,205,195,172,154,133,118,98,90,191,224,223,222,222,221,221,178,186,194,199,204,202,222,221,217,203,192,179,176,195,188,164,140,121,110,89,170,225,226,225,224,223,223,222,180,188,196,201,206,206,211,225,218,212,205,186,173,187,179,152,122,113,96,137,223,227,228,228,226,225,225,222,182,191,200,205,209,210,203,225,212,207,200,181,167,174,163,141,109,105,102,209,230,229,230,230,228,224,192,139,184,194,202,208,211,213,206,219,191,188,193,183,168,167,153,136,110,93,159,230,233,232,232,232,225,155,78,50,186,195,203,208,213,214,207,227,197,199,204,194,171,157,147,135,112,86,198,230,235,234,234,224,147,69,59,34,186,197,203,208,212,214,204,231,208,209,215,197,176,153,147,133,112,88,214,233,236,232,183,111,62,56,65,35,187,198,205,209,213,216,206,230,225,226,223,199,179,154,145,133,108,89,218,233,237,186,87,56,37,48,63,51
2,196,195,196,197,198,198,197,197,197,197,197,197,197,197,196,196,196,195,195,194,194,191,192,193,189,111,80,99,198,200,200,199,199,199,199,199,199,200,200,201,199,199,199,199,195,200,198,199,194,195,195,199,179,95,93,103,203,204,204,202,202,204,204,203,203,205,205,204,200,205,212,181,133,169,184,170,204,200,198,199,192,115,102,98,206,206,206,205,205,206,206,206,207,206,204,207,214,211,174,137,109,115,138,113,157,195,200,198,203,142,101,105,209,208,209,208,208,208,208,210,209,209,220,229,194,144,119,108,103,103,112,103,95,166,209,199,208,158,97,95,211,211,211,211,211,211,212,213,208,219,233,211,139,99,103,100,95,89,100,102,92,164,212,202,208,180,103,79,213,214,214,213,213,214,215,215,211,237,213,145,109,91,94,98,92,88,91,98,132,203,207,204,205,205,108,65,216,216,217,217,217,216,217,215,222,245,173,110,101,94,88,93,98,109,151,183,211,211,209,207,207,207,146,130,218,218,219,219,219,218,219,213,236,231,157,116,102,109,98,99,110,181,223,216,213,212,211,209,210,212,179,164,218,220,222,222,222,222,220,223,243,204,140,102,99,105,98,121,197,220,214,215,216,215,213,212,211,221,144,174,221,222,223,223,223,223,218,236,238,189,138,106,101,97,103,158,234,217,219,218,217,217,217,216,213,218,158,204,223,225,226,225,224,224,223,249,230,181,140,122,113,102,100,179,230,223,223,220,219,218,218,217,215,215,201,186,224,225,227,228,227,223,234,255,217,168,132,120,117,114,108,214,228,223,224,223,223,221,221,219,217,217,220,193,226,226,227,229,229,222,245,253,206,157,122,115,111,114,130,229,227,226,224,224,224,224,223,221,220,221,217,213,227,228,228,228,226,223,255,240,199,156,123,112,110,111,138,233,226,226,224,224,224,224,223,223,222,222,219,213,228,229,229,231,223,239,255,227,188,147,124,114,117,106,156,240,227,227,227,226,226,225,226,226,225,227,226,220,230,230,230,232,226,255,248,215,177,140,122,112,110,100,144,240,228,229,229,229,231,231,224,215,207,200,209,227,232,232,234,226,229,255,241,207,169,134,118,107,104,115,107,175,243,230,235,233,217,204,195,191,187,176,149,179,232,233,237,223,243,255,234,197,160,133,115,97,107,118,120,114,206,232,217,196,189,190,200,195,173,156,143,164,234,236,231,228,255,250,224,183,150,132,108,93,115,119,125,133,133,156,170,189,203,196,175,143,152,198,221,227,236,239,225,243,255,243,215,176,146,128,100,103,129,133,144,146,145,152,176,195,183,152,126,158,228,233,231,230,239,233,230,255,253,236,202,170,143,127,102,115,140,147,152,149,150,155,166,150,141,163,197,233,233,229,229,228,236,229,252,254,245,227,196,163,133,124,109,126,145,153,155,149,141,133,127,157,212,238,240,234,233,231,231,230,224,241,255,249,240,224,190,154,129,124,116,139,150,153,147,136,122,128,188,240,240,236,235,235,235,234,234,233,235,246,247,241,227,201,166,140,129,121,123,142,146,148,133,120,170,223,244,238,237,239,238,237,236,235,235,235,242,244,239,221,201,175,150,132,127,121,129,136,141,133,117,186,248,244,238,239,239,240,240,240,238,237,237,236,239,238,223,200,182,166,143,130,125,128,128,128,125,135,202,249,240,241,242,241,241,241,241,241,239,238,236,235,237,229,210,178,168,147,127,129,130,129,127,121,170,234,249,242,244,244,243,244,243,242,242,241,240,240,238,237
12,157,160,162,165,167,168,172,176,177,178,178,178,180,178,179,181,179,178,180,180,179,178,178,178,176,175,175,174,160,163,165,168,169,170,174,177,180,180,179,180,181,182,182,182,182,180,183,184,182,180,180,179,178,177,177,176,161,164,167,169,171,173,176,177,179,182,182,182,183,184,182,184,184,185,184,185,185,185,184,182,181,180,178,179,161,164,168,170,171,174,177,179,180,182,183,186,187,185,185,187,187,185,184,186,187,187,186,184,183,183,181,180,163,167,170,172,175,177,179,181,182,185,186,187,187,185,192,190,187,187,191,188,185,187,185,185,185,184,185,183,164,167,170,173,177,179,183,184,184,186,187,185,188,187,172,183,195,178,151,178,191,186,185,187,187,187,187,185,167,169,172,175,177,181,184,187,188,187,189,184,212,211,146,140,223,171,98,105,203,191,196,188,188,189,189,188,168,171,174,177,179,180,184,186,188,188,188,187,246,223,160,129,216,166,97,53,151,136,146,197,189,190,191,191,171,174,177,179,183,183,184,186,186,190,200,148,162,209,152,116,208,158,88,62,172,123,48,154,199,189,192,194,170,173,177,180,183,185,188,190,183,225,214,166,89,150,145,102,201,158,75,111,187,136,60,89,208,192,193,192,171,174,177,180,184,187,189,188,203,247,231,179,108,88,170,101,221,204,111,143,194,151,63,77,206,194,194,192,172,177,179,182,185,187,191,185,228,210,224,183,112,72,189,107,188,189,82,155,237,169,55,82,208,195,196,196,174,177,181,184,186,191,192,190,240,201,207,183,111,51,100,86,47,124,101,153,179,98,25,91,209,195,196,197,177,180,182,185,187,193,187,223,239,179,190,177,114,57,29,32,26,161,209,189,153,122,38,103,211,195,199,197,178,181,184,188,189,191,191,242,219,156,163,170,116,68,51,56,161,195,181,169,141,127,67,128,215,199,200,197,179,181,186,189,192,191,204,241,207,173,135,159,163,68,39,189,225,190,169,151,112,93,65,134,214,199,202,200,180,183,187,190,194,190,222,242,211,189,143,116,131,69,132,242,222,185,163,140,100,86,53,147,216,201,204,201,182,185,186,191,196,189,231,240,211,182,169,126,122,150,222,238,220,177,154,125,90,78,47,168,214,204,204,203,183,186,189,193,198,191,232,240,214,191,177,145,148,160,229,238,210,168,141,115,84,76,36,154,217,201,205,204,185,186,190,194,198,192,229,245,220,202,189,161,135,175,234,228,196,165,130,100,78,68,37,181,214,203,205,205,186,189,193,194,198,195,222,245,222,202,188,167,143,203,224,205,182,156,123,90,76,40,117,219,205,206,206,206,186,190,194,196,199,197,215,242,213,197,175,156,168,210,192,186,165,139,109,84,47,99,216,210,208,208,209,207,188,191,194,196,199,197,221,238,206,194,171,168,193,206,177,176,151,122,100,62,93,212,212,211,211,210,209,208,190,192,196,198,203,195,233,236,215,206,187,186,205,203,174,163,139,117,81,69,198,216,212,213,210,211,211,211,190,194,197,199,204,195,251,246,231,208,195,202,204,186,169,134,118,97,57,148,220,213,214,212,212,212,211,211,191,194,197,199,201,201,255,244,242,214,206,204,187,173,146,112,105,59,115,217,217,217,215,214,213,213,212,211,191,196,199,202,198,207,243,227,232,207,202,187,180,152,127,108,83,70,195,221,218,219,217,215,214,213,213,212,192,196,201,204,195,213,237,205,201,188,186,190,170,134,129,102,60,124,219,219,219,219,219,217,215,215,215,213
14,142,144,144,146,148,147,147,148,148,148,146,147,146,144,143,143,141,141,140,139,137,135,134,133,131,130,129,128,144,145,146,146,149,149,150,150,150,149,148,148,147,148,145,143,142,142,142,141,139,136,136,135,134,131,129,128,146,147,148,148,150,150,151,150,151,152,153,152,151,141,145,153,148,143,143,142,140,138,136,135,136,134,131,130,147,149,150,150,151,151,152,153,153,153,143,128,125,96,83,106,125,148,148,145,142,142,139,137,137,135,133,131,148,150,151,153,154,153,154,155,155,141,115,94,69,46,35,55,66,96,121,141,146,143,141,139,137,137,135,133,150,151,152,154,155,154,156,156,150,130,89,52,37,38,36,46,64,72,76,82,147,144,142,141,139,138,137,134,151,152,154,155,156,157,154,146,132,103,46,19,24,28,25,27,34,54,48,48,146,147,143,143,141,139,137,135,152,153,154,156,157,159,150,132,111,61,31,23,18,23,24,28,24,37,41,38,78,144,145,144,142,140,138,136,152,153,155,158,158,160,148,129,83,30,33,28,26,25,25,18,23,24,44,52,42,141,148,144,142,141,139,137,153,156,157,158,159,160,153,134,91,30,28,23,28,31,22,98,101,110,63,33,37,114,157,147,144,143,142,139,155,157,158,160,160,161,154,132,93,33,23,19,30,21,63,169,163,166,147,81,52,54,96,132,147,142,143,141,155,157,159,160,160,161,154,135,84,35,36,29,18,43,151,160,156,156,159,154,82,72,60,96,153,142,143,142,156,158,159,160,162,162,156,140,95,54,41,36,22,120,171,159,160,158,161,112,78,81,57,110,154,144,144,143,157,158,160,160,163,161,155,144,107,66,42,32,27,142,166,162,160,163,145,78,77,71,53,142,151,146,145,143,159,160,162,163,164,157,153,147,110,73,48,26,42,168,166,161,161,164,94,64,74,54,80,159,149,149,146,145,159,161,163,164,165,156,153,144,112,78,45,28,33,122,160,168,170,126,72,59,66,31,115,159,149,149,146,145,158,162,163,164,165,157,153,144,112,77,48,35,33,38,59,116,133,70,75,72,40,67,157,153,152,151,148,146,160,161,164,165,165,154,157,149,109,81,54,35,38,45,48,52,54,56,69,54,58,154,157,154,151,150,149,147,161,164,164,166,164,151,161,146,107,79,56,34,36,44,53,59,55,53,64,46,141,162,154,154,152,150,148,147,161,164,164,166,163,151,161,141,103,79,61,35,36,46,51,57,61,53,34,108,169,156,156,155,153,151,149,148,161,164,165,169,161,153,157,136,102,85,63,36,37,50,57,59,58,41,60,162,160,159,157,156,154,152,151,149,162,164,165,169,158,154,150,126,101,84,62,35,37,54,59,60,50,37,151,165,160,160,159,156,155,152,152,150,163,163,164,169,159,151,140,121,95,78,60,36,37,54,57,54,28,87,175,161,163,160,158,157,157,154,151,150,162,165,166,169,158,147,138,120,91,75,57,36,38,51,53,39,36,158,166,162,162,160,158,157,156,154,152,150,163,165,166,167,160,142,131,113,89,67,52,36,37,47,44,20,126,175,163,164,163,162,160,157,156,154,153,151,163,165,166,166,159,139,132,111,86,62,48,33,36,27,22,114,178,165,167,166,164,162,160,158,157,155,153,152,162,165,166,165,157,138,127,110,85,60,41,29,25,52,136,176,168,168,167,166,164,162,160,159,158,156,155,152,161,165,163,165,149,129,122,109,84,53,36,17,80,175,174,165,166,167,165,165,162,160,160,157,156,155,152,151
23,175,176,176,177,178,178,179,179,179,179,179,179,180,179,179,180,179,179,178,178,178,177,176,176,175,175,175,166,177,178,177,178,180,180,180,180,181,182,182,181,181,181,181,182,182,180,179,179,178,178,178,177,176,177,175,175,177,179,180,181,182,182,182,182,183,183,183,183,183,183,183,183,183,184,183,180,180,180,179,178,178,178,177,176,180,181,182,182,182,183,182,183,183,184,184,184,184,184,184,184,184,186,184,183,183,183,182,182,181,180,179,178,181,182,183,184,184,184,184,185,184,185,185,185,185,185,184,184,185,187,184,184,183,178,179,180,180,182,181,180,183,183,184,185,186,186,186,186,185,186,186,187,185,185,185,186,186,183,192,201,195,187,182,144,119,189,182,182,184,184,185,185,185,187,187,186,187,187,188,189,188,187,188,189,187,198,209,204,164,147,146,108,132,190,183,184,185,185,186,188,188,189,190,189,189,189,190,189,191,190,188,189,207,208,187,158,97,134,153,168,189,186,186,186,186,186,187,188,190,189,189,190,190,189,190,190,190,190,187,204,220,185,110,109,161,195,191,189,186,187,186,186,187,188,189,189,190,190,190,190,190,190,190,190,191,188,195,213,219,147,84,182,198,189,187,190,190,186,188,188,188,189,190,190,189,190,192,191,190,191,192,192,193,190,207,211,211,156,164,195,168,183,193,176,178,192,189,189,189,189,190,191,190,191,191,192,192,191,192,192,193,193,205,204,192,204,208,204,145,134,179,162,140,194,190,189,189,190,190,191,191,191,191,193,192,192,187,172,176,191,194,196,127,173,174,181,145,97,159,171,116,194,190,191,189,190,191,192,193,192,191,194,192,200,197,174,150,164,176,198,181,202,202,185,134,81,127,149,109,197,191,191,190,191,193,193,192,193,194,194,196,210,209,203,181,168,159,157,149,154,176,186,149,83,74,100,86,182,196,191,189,190,193,193,192,193,195,195,193,206,216,207,202,184,166,178,162,143,137,141,145,107,67,81,76,130,202,191,188,190,191,192,192,192,192,195,190,202,219,203,197,175,134,151,181,173,157,138,99,116,77,70,83,104,199,192,188,191,192,192,191,192,193,195,190,202,216,210,206,145,109,97,143,148,138,116,81,111,83,65,77,143,200,189,190,191,191,193,192,193,193,197,188,202,216,219,204,140,92,59,96,163,124,77,90,125,89,64,95,187,194,191,190,191,192,193,193,194,194,196,185,203,220,215,186,146,103,45,120,147,95,53,116,128,91,66,154,201,191,192,190,190,191,192,193,194,194,194,186,207,220,205,173,137,107,55,103,112,45,55,132,116,73,97,199,194,193,193,189,189,190,190,191,193,195,193,191,211,216,196,165,134,105,53,89,87,32,95,124,88,66,157,203,192,195,194,195,194,194,195,196,198,199,193,196,217,210,184,159,135,109,61,83,72,45,113,102,69,86,193,196,193,194,193,163,165,168,171,174,179,184,180,199,208,199,171,150,132,112,64,74,71,70,88,86,74,154,207,200,202,201,200,97,96,95,98,102,102,96,122,200,200,189,156,145,147,109,71,64,75,98,92,80,86,149,155,157,161,164,165,101,99,98,98,99,101,92,120,197,196,180,153,159,158,102,84,70,86,106,103,88,93,87,89,91,87,85,94,100,102,101,100,101,103,95,133,201,189,181,163,169,158,111,91,80,92,100,94,93,102,99,100,105,123,156,181,100,102,102,102,102,105,92,146,210,199,194,177,174,157,120,94,83,88,94,92,103,111,128,163,189,204,196,198
6,172,179,184,187,190,196,200,204,208,212,214,216,219,222,224,227,229,230,232,233,234,233,234,235,236,236,235,235,174,180,183,186,190,196,202,204,208,212,216,218,220,223,225,228,229,231,232,234,235,235,236,236,236,236,236,236,173,180,184,185,190,197,203,207,208,213,217,220,223,224,225,227,231,233,234,234,235,236,238,238,236,236,236,236,174,182,185,187,193,198,204,208,211,215,218,221,224,225,226,228,233,236,237,235,238,238,240,240,238,238,237,238,175,184,185,188,192,198,202,207,212,216,218,221,225,226,228,230,233,236,236,236,240,239,240,242,241,241,243,243,176,183,186,190,192,198,204,208,212,218,218,222,225,225,228,229,231,232,233,234,230,234,234,236,235,232,227,230,177,183,188,190,191,198,205,208,212,213,225,231,227,231,236,238,239,246,244,238,242,247,255,247,235,228,204,203,175,181,185,186,190,197,202,204,219,244,255,250,232,222,240,255,255,255,255,239,243,255,255,255,247,232,216,215,174,181,184,187,188,193,210,235,255,255,255,245,226,188,182,215,222,221,218,213,216,205,196,198,195,186,180,188,177,187,185,182,199,229,255,255,249,248,252,255,235,180,138,140,140,148,163,163,167,185,204,212,214,217,220,226,175,179,192,223,250,255,255,249,251,255,255,243,202,174,141,132,128,118,150,211,231,242,246,245,247,248,246,245,182,220,254,255,255,255,250,252,255,255,239,212,179,161,145,142,151,142,138,185,219,243,241,243,243,242,241,242,255,255,255,255,255,255,255,255,254,254,251,248,208,154,140,126,141,157,148,134,113,199,254,243,246,244,243,243,255,255,255,255,255,252,254,251,253,255,255,255,201,155,146,139,129,142,158,164,138,114,212,251,243,245,244,244,255,255,255,255,255,253,255,248,251,255,255,224,182,161,152,155,158,140,124,136,147,126,145,251,242,244,243,242,255,255,255,248,245,242,243,239,245,255,245,208,175,156,158,162,165,155,128,122,121,129,160,246,242,242,242,241,255,255,250,243,244,241,240,236,238,244,242,222,175,140,116,145,167,199,155,137,121,125,150,168,166,165,165,164,255,255,255,251,246,247,248,247,243,250,248,220,165,147,133,129,131,153,164,155,135,135,128,125,125,127,126,123,255,255,255,249,247,245,245,242,247,254,241,203,158,152,159,158,147,133,137,141,147,139,135,137,137,137,137,136,255,253,246,242,242,233,227,224,234,237,219,193,168,165,163,156,147,137,131,129,143,144,141,137,135,134,133,133,241,238,238,231,223,219,208,211,224,218,199,181,168,160,165,163,151,139,138,143,140,142,142,137,137,135,133,133,216,220,212,210,201,202,198,195,195,182,164,151,148,138,138,146,147,146,145,142,138,140,138,136,137,135,132,133,170,172,178,177,181,171,162,153,146,143,142,141,141,141,136,135,137,143,141,138,139,140,140,137,139,135,133,133,156,141,140,141,134,135,139,139,138,142,144,144,143,143,144,142,142,141,141,141,138,137,138,137,139,136,134,135,141,137,127,119,130,140,142,144,144,145,145,144,143,143,142,141,142,143,142,141,139,136,137,137,136,135,133,135,128,115,111,119,135,145,144,143,145,146,143,143,143,143,143,141,141,142,141,140,139,138,136,136,137,136,135,134,157,146,130,126,132,143,144,144,143,143,143,143,142,143,142,140,141,140,140,140,139,137,136,136,136,134,134,134,167,142,131,127,132,142,145,144,143,143,143,142,141,142,141,140,140,140,140,140,139,137,137,135,136,133,134,135
6,161,163,165,167,168,171,172,170,170,170,171,172,171,170,170,169,170,169,169,168,166,166,166,166,164,163,162,161,162,164,167,168,170,172,172,172,174,174,174,173,174,173,172,171,171,170,169,168,167,168,168,167,168,167,163,162,162,165,168,168,171,174,175,174,176,175,174,174,175,174,172,171,172,170,169,170,169,169,169,168,167,167,164,162,161,164,168,170,172,175,174,175,175,174,175,175,174,174,174,174,172,172,171,170,169,169,170,169,168,168,166,164,163,166,168,170,173,173,175,176,176,175,176,176,175,174,172,172,172,172,174,173,173,175,172,171,170,168,167,166,164,167,168,171,174,174,175,176,176,175,172,168,161,152,131,133,141,147,145,147,148,144,156,160,167,169,168,167,164,168,170,171,174,174,171,176,176,178,176,170,166,153,131,133,146,153,141,143,125,117,169,150,128,173,167,168,165,168,169,175,178,168,172,184,186,187,181,171,162,148,132,130,142,151,146,143,139,125,157,139,110,173,168,168,167,170,170,199,187,168,170,172,168,159,150,145,135,132,115,90,86,103,110,114,120,116,120,121,153,173,169,169,168,170,173,209,185,165,157,151,156,162,162,155,140,137,142,107,87,157,154,157,158,162,164,170,175,171,170,168,169,169,176,190,160,155,159,165,174,180,173,160,152,146,146,118,82,180,183,181,181,180,178,177,174,173,171,169,169,167,197,188,153,151,157,165,175,179,176,167,156,143,126,100,69,144,185,176,177,177,176,176,176,174,172,170,170,170,198,171,154,150,153,157,162,165,166,159,144,135,120,77,69,110,186,177,178,178,178,177,176,176,174,172,170,174,184,155,167,164,162,162,167,175,176,159,134,137,138,76,65,98,182,180,179,180,179,178,177,175,174,173,170,172,182,182,182,170,173,174,182,186,170,152,141,142,128,85,70,92,176,182,182,182,179,177,177,175,175,173,171,169,185,212,190,166,170,170,173,172,164,153,145,129,102,84,80,97,182,182,182,182,179,177,177,176,176,174,168,168,189,208,186,166,163,152,138,135,138,134,127,113,76,74,88,154,187,181,181,180,181,178,176,175,173,173,169,167,188,193,184,170,153,136,129,146,157,148,146,152,91,56,97,180,182,181,179,179,179,178,176,174,172,170,172,169,189,183,196,177,153,154,175,183,163,145,137,144,101,67,123,186,181,181,180,179,178,177,176,174,173,170,171,169,189,181,191,174,157,159,168,168,151,139,130,116,92,81,142,190,180,180,180,178,178,177,176,175,174,172,169,163,184,186,178,166,159,158,161,155,146,128,110,91,77,86,161,184,181,181,181,180,179,177,176,175,175,174,172,163,175,185,184,166,157,150,143,125,109,91,78,90,127,156,183,180,182,182,181,181,181,180,178,177,177,167,159,153,171,182,170,153,141,129,112,91,79,61,81,148,177,175,172,172,173,172,171,172,173,172,172,172,162,204,86,90,163,172,147,135,129,120,90,78,82,81,89,91,90,89,90,90,90,90,87,88,89,89,90,80,189,254,84,87,159,161,135,138,131,108,85,80,88,94,80,76,76,75,75,75,75,73,72,72,72,71,58,172,255,244,84,95,163,150,133,147,129,96,82,79,93,89,82,83,82,82,80,85,92,86,86,90,88,65,174,255,248,245,79,105,170,147,138,146,125,96,80,80,100,86,82,82,81,80,79,81,83,81,81,86,66,154,255,249,245,237,79,119,173,144,133,136,111,87,78,87,99,84,83,82,81,80,79,79,80,80,84,71,123,255,248,252,236,232
4,61,67,82,93,98,103,107,111,114,117,118,119,123,125,128,131,131,132,134,134,135,137,138,139,139,138,139,140,62,69,84,94,100,105,108,112,115,117,119,122,123,126,127,130,134,135,135,138,138,138,139,140,141,140,141,141,63,71,86,95,100,105,109,113,117,118,117,119,124,128,134,129,117,127,135,125,135,142,140,141,143,143,143,143,64,71,88,96,101,106,110,115,118,117,135,136,118,121,161,138,89,67,118,94,74,138,144,141,144,144,144,144,64,74,89,96,103,108,111,113,123,124,122,149,146,94,116,130,82,46,75,95,51,103,152,142,145,145,145,144,64,76,91,97,104,108,113,112,147,145,116,100,112,87,71,109,74,42,91,101,48,90,154,142,146,146,147,146,65,78,92,98,105,109,110,125,160,154,134,104,61,60,68,136,81,50,123,86,32,100,155,144,147,148,149,149,66,80,94,99,105,110,107,144,141,120,128,83,53,45,63,123,90,119,125,88,41,117,153,145,148,149,150,150,67,82,95,99,105,111,108,150,122,106,123,61,43,53,37,80,115,134,110,111,81,107,155,147,149,150,151,152,69,83,95,100,106,112,113,161,134,122,111,71,33,82,105,115,118,107,102,124,108,86,119,158,151,151,152,152,70,86,96,101,107,109,122,163,123,102,94,72,18,87,119,101,101,68,97,137,125,116,78,125,159,151,153,153,72,88,97,102,108,106,131,156,113,91,74,49,23,27,57,65,55,52,95,125,138,126,97,70,138,157,154,154,73,89,97,102,109,105,148,163,125,102,87,65,41,29,34,37,76,140,136,132,129,113,108,72,89,161,153,156,74,89,97,104,110,106,162,160,125,115,92,66,51,49,79,122,152,158,142,132,114,88,90,70,90,162,154,157,75,90,98,104,109,110,171,161,142,122,91,76,62,72,133,156,160,159,144,122,104,77,71,62,128,160,156,157,75,91,99,103,108,113,179,165,146,117,91,88,68,106,151,152,160,155,135,112,91,74,57,83,160,155,157,158,78,92,99,105,109,113,175,166,141,115,101,101,86,127,148,148,155,147,124,102,85,69,51,130,163,156,158,160,80,93,99,106,111,114,173,163,137,125,123,110,107,135,145,152,144,130,112,92,80,58,82,162,156,158,159,160,80,94,99,106,111,114,162,162,149,140,132,114,116,138,144,143,128,114,100,83,71,53,136,163,157,159,160,160,82,93,98,106,113,111,149,168,159,148,130,111,100,124,131,127,115,102,90,78,55,90,164,158,159,160,162,162,84,93,98,106,113,113,136,168,150,142,128,106,92,111,119,116,102,90,81,67,58,147,161,160,161,161,162,163,85,95,99,106,113,115,127,163,141,127,117,98,98,109,120,115,99,85,76,52,112,165,158,161,162,162,163,163,87,94,100,108,114,117,123,153,129,121,111,101,116,105,106,109,91,77,59,68,158,160,160,161,163,163,163,164,87,94,102,108,114,119,121,156,132,128,117,121,126,106,93,99,84,71,50,118,165,157,159,161,163,164,165,165,87,95,102,109,115,116,149,150,148,131,124,122,114,100,86,88,79,67,52,145,162,158,160,163,164,164,164,166,88,95,102,110,109,133,164,145,125,130,130,120,104,95,81,77,71,63,48,143,163,158,162,164,164,164,165,166,90,94,103,109,115,164,151,157,134,85,118,113,98,91,69,68,67,59,50,145,162,161,163,163,165,165,166,166,90,96,105,105,138,164,148,151,164,118,68,93,94,85,62,66,64,56,45,142,162,162,163,164,165,165,166,166
20,136,139,143,147,151,153,155,159,160,161,163,163,164,165,167,167,169,165,169,166,167,165,166,165,165,164,163,162,137,141,145,150,153,155,157,160,162,163,165,166,167,168,168,168,199,138,150,167,168,169,167,167,167,166,165,165,140,143,147,152,155,158,159,163,164,166,167,168,170,172,171,170,213,129,148,154,140,177,169,170,170,169,167,166,141,145,148,153,158,158,161,164,165,167,169,171,172,172,172,174,209,135,170,169,115,179,173,173,172,172,171,169,142,147,150,154,159,160,164,167,168,169,171,173,174,175,172,177,218,152,168,188,112,174,176,175,174,173,172,171,144,149,152,156,160,162,165,168,171,171,173,174,176,179,174,182,221,151,172,205,121,169,180,178,178,177,175,174,146,151,154,158,161,164,168,170,172,174,175,175,176,176,174,192,211,146,186,201,121,165,183,180,179,178,177,175,149,153,156,160,164,167,169,172,174,174,178,179,179,193,178,193,214,144,193,196,115,165,185,181,181,180,179,177,150,155,158,163,166,168,171,173,176,178,179,173,200,233,205,140,164,144,192,193,117,171,186,183,183,182,180,179,151,157,161,165,167,170,173,174,178,179,184,207,200,183,193,145,98,107,170,173,120,177,188,186,183,183,182,180,153,158,162,165,169,172,176,177,180,176,207,229,214,153,170,176,165,132,119,141,115,181,189,187,185,185,184,183,155,159,163,167,171,175,177,178,181,180,213,173,165,198,131,178,206,166,99,104,108,186,188,188,187,186,186,185,157,161,165,169,172,176,178,180,183,180,214,161,95,111,79,110,196,180,121,90,99,185,191,190,189,188,188,187,158,162,166,170,174,177,180,182,184,185,210,168,151,115,93,84,162,216,157,95,93,187,194,191,191,190,189,189,159,163,167,172,176,179,181,184,186,188,224,205,155,120,111,114,136,230,188,117,83,183,196,194,193,191,191,191,161,164,168,172,176,179,183,186,186,190,226,189,136,117,122,136,162,233,207,142,87,175,199,194,195,192,192,191,163,166,170,175,178,180,184,186,186,191,226,194,151,136,140,148,201,233,204,157,95,174,200,194,196,194,194,194,164,168,171,176,180,182,186,188,190,192,230,207,167,145,156,174,231,231,192,154,98,172,204,198,197,196,195,195,165,169,173,177,181,184,186,190,192,194,230,217,182,150,168,196,233,227,188,148,101,173,207,199,198,197,197,197,165,169,173,177,179,183,186,190,192,191,227,224,186,166,170,215,232,211,183,142,96,169,208,198,198,198,198,198,165,170,174,178,179,184,187,190,192,190,224,226,191,188,175,219,229,199,175,137,89,166,209,199,199,196,197,197,166,171,175,178,181,186,188,191,193,191,214,230,203,203,188,204,218,188,167,134,82,167,210,200,201,199,197,196,166,171,174,178,182,186,189,191,194,194,204,229,211,207,195,180,198,167,159,123,79,175,209,201,201,201,200,199,166,172,176,180,184,186,188,192,194,196,199,228,221,202,175,159,173,154,158,118,85,196,206,202,203,200,204,203,168,173,177,181,184,186,189,192,198,207,200,227,213,182,146,136,161,154,151,96,114,212,203,205,204,210,192,128,164,170,175,181,185,189,192,201,183,93,70,217,199,163,136,129,171,148,135,73,159,226,209,211,214,191,111,84,122,124,126,129,131,136,137,144,133,64,8,170,212,173,135,143,188,126,103,53,45,148,177,175,171,105,73,75,89,87,91,93,95,93,91,94,108,115,74,103,183,161,140,160,178,99,78,30,16,68,95,101,110,86,62,52
24,103,109,118,130,139,145,150,155,160,163,167,169,171,172,172,172,170,169,169,168,166,163,161,161,160,157,154,152,105,111,121,135,144,149,155,159,164,168,171,174,176,178,178,178,177,175,174,174,173,170,169,167,165,162,159,158,108,113,125,138,146,153,158,163,168,172,175,179,181,181,182,182,182,181,180,180,179,176,175,173,172,169,166,163,110,117,128,140,149,156,161,165,171,175,180,183,184,183,185,186,186,186,185,183,182,180,179,178,177,175,171,168,112,118,129,143,153,159,165,169,173,178,183,186,188,188,189,189,189,188,188,187,187,186,184,183,182,180,177,174,115,120,140,149,155,162,167,172,177,181,186,189,190,190,191,193,192,192,190,190,190,189,188,188,188,186,182,179,113,138,149,111,163,164,169,174,179,184,188,191,193,193,194,195,195,194,194,194,193,193,193,192,191,190,187,184,113,150,136,69,161,167,171,176,182,187,190,193,192,195,196,198,203,198,195,197,196,195,196,197,193,191,190,188,115,157,135,63,156,171,174,180,186,188,191,195,203,200,201,174,144,196,199,196,198,200,197,193,200,196,192,188,117,162,123,57,154,174,175,179,183,194,193,194,157,177,232,175,96,111,205,201,193,172,155,110,128,203,194,199,119,156,117,56,154,174,186,168,123,163,211,202,116,83,155,185,133,75,177,190,175,141,92,61,162,217,194,161,121,155,133,58,145,175,204,200,160,134,195,205,137,94,83,185,152,94,120,151,187,110,70,161,180,120,49,21,123,158,149,70,125,181,196,227,215,170,122,205,165,132,86,165,154,88,67,173,155,67,59,72,28,6,14,9,128,148,171,127,132,171,194,191,226,197,125,139,196,140,79,107,131,62,99,193,105,49,16,7,23,28,22,18,131,136,184,162,153,175,195,148,172,201,130,73,187,165,91,42,58,67,158,162,73,22,12,10,6,26,22,12,133,136,170,185,179,201,203,178,147,168,125,55,154,182,101,28,36,131,168,124,48,0,6,21,1,11,24,20,134,141,160,212,189,170,178,161,128,143,133,80,94,134,67,57,95,135,132,88,23,15,0,11,14,2,13,25,133,145,155,210,191,150,165,148,106,113,137,110,77,75,129,159,146,143,101,57,0,18,7,0,9,4,7,17,134,146,156,199,201,132,119,133,114,116,137,150,124,145,220,202,167,155,84,37,0,0,23,0,0,7,4,7,95,102,98,146,205,150,103,120,161,127,178,213,189,216,227,194,165,145,71,36,0,0,15,19,1,3,0,3,82,85,77,105,211,184,128,102,148,145,191,212,220,233,218,182,156,128,60,24,2,0,0,20,12,8,0,0,88,90,90,93,194,198,153,116,117,152,177,219,227,222,200,169,144,118,54,0,14,0,0,14,13,13,4,0,89,91,94,85,172,208,175,137,116,145,163,217,226,211,187,158,133,116,58,0,18,0,0,3,15,10,6,0,87,90,94,82,145,210,188,152,133,143,151,203,219,197,176,154,124,107,55,0,12,0,0,0,13,7,4,3,86,89,91,85,112,201,192,166,144,150,142,187,209,186,173,153,109,93,46,0,7,10,0,0,6,8,0,1,87,87,89,90,88,173,192,177,154,157,139,162,195,179,177,145,94,83,26,0,3,13,0,0,0,11,0,0,86,87,87,89,84,118,194,186,166,158,144,137,172,171,162,130,85,74,15,0,0,15,1,0,0,6,0,0,85,86,87,87,90,84,159,191,171,157,141,121,136,153,136,111,83,60,0,0,0,9,6,0,0,0,6,0
1,199,200,201,201,201,201,201,202,202,202,201,202,202,201,201,202,193,179,196,195,195,194,192,190,190,189,187,185,202,203,204,204,205,204,205,205,205,204,204,205,204,205,196,194,202,140,192,205,197,197,194,193,192,191,190,188,206,207,207,207,208,208,208,209,208,208,207,208,207,213,199,150,200,137,146,173,201,199,198,196,196,195,192,191,210,210,210,210,211,211,211,211,210,211,211,211,209,219,192,144,199,127,112,130,186,206,200,198,198,197,195,192,212,212,212,212,214,214,214,214,214,214,214,216,215,222,171,148,197,113,141,145,166,212,201,201,200,199,197,195,216,216,216,216,216,216,216,216,215,215,218,198,200,224,153,161,201,119,161,149,152,215,204,204,203,202,200,198,219,219,220,220,220,220,220,219,218,217,221,187,156,226,152,178,191,115,168,152,151,218,207,208,205,203,202,200,221,222,222,223,222,222,223,222,222,221,224,176,153,214,143,192,168,117,187,161,152,220,210,210,208,206,205,202,223,224,224,225,224,223,223,223,223,223,225,154,168,193,142,203,165,140,207,152,152,222,212,212,210,208,207,205,226,226,226,227,226,226,226,226,226,226,225,147,175,196,150,208,170,146,207,144,155,225,213,214,212,210,209,208,227,228,228,228,228,229,228,228,227,229,217,135,179,204,142,205,167,132,203,157,165,227,215,215,214,213,211,209,230,229,229,230,230,230,229,230,228,233,208,128,188,191,122,193,143,132,212,154,167,230,217,217,217,215,213,210,231,232,232,231,232,233,232,232,231,234,213,131,182,178,131,198,140,145,207,146,166,231,219,221,219,218,215,213,233,234,234,234,233,233,233,233,232,235,196,136,190,182,183,201,177,148,169,148,169,232,221,223,220,218,217,216,233,234,234,234,234,234,234,234,235,230,196,194,181,161,173,175,180,165,150,142,144,229,223,223,222,220,218,217,235,236,236,236,235,235,236,235,235,230,213,184,154,147,158,177,181,160,149,155,127,211,230,223,223,222,220,218,236,236,237,237,236,237,237,237,238,232,199,157,144,146,161,192,184,170,199,190,132,184,238,225,226,223,222,220,238,237,238,238,238,239,239,240,235,228,193,149,148,157,170,197,205,204,185,202,158,158,238,226,227,224,223,221,239,240,240,240,240,240,240,241,231,224,202,153,137,160,184,205,215,226,175,199,180,135,227,230,227,226,224,222,240,240,240,241,241,241,240,243,227,224,211,165,131,161,190,207,213,216,200,183,150,119,225,232,228,228,226,224,241,241,241,242,242,242,242,245,225,222,215,177,144,147,191,219,218,214,187,174,123,139,240,230,229,229,228,226,241,241,241,242,242,243,242,246,226,210,208,179,152,145,201,230,225,213,178,152,111,193,242,231,231,230,229,228,240,241,242,242,243,243,242,246,233,204,199,181,159,154,209,223,209,193,163,130,122,236,235,233,233,230,229,228,240,241,241,241,242,242,243,245,239,210,201,187,168,164,209,215,200,174,149,108,166,247,233,234,233,230,229,228,240,242,242,242,242,243,243,244,245,214,200,197,176,163,198,201,186,157,125,105,222,238,234,233,231,229,228,226,241,242,243,242,243,244,243,244,247,221,204,196,177,162,181,175,154,129,91,175,246,234,235,234,232,229,226,226,241,241,242,243,244,244,244,245,242,220,209,196,179,166,168,158,129,96,167,247,237,237,235,235,233,232,235,226,241,241,242,243,243,244,244,247,229,213,216,200,194,177,157,144,102,130,250,239,239,238,236,234,234,221,192,143
24,158,160,163,163,164,165,166,166,167,167,166,167,166,166,165,163,163,162,161,161,160,158,157,157,155,154,153,152,159,162,164,164,165,166,167,168,168,168,168,168,167,166,166,166,165,164,164,164,162,160,160,159,158,156,155,154,160,163,165,166,167,168,169,169,171,170,170,171,170,170,168,167,166,166,165,164,164,162,161,161,160,159,157,156,162,163,166,167,169,169,170,171,171,170,171,171,171,171,170,169,169,167,165,166,165,164,164,163,161,160,159,158,163,164,167,168,168,167,169,173,173,172,172,172,172,172,171,169,169,167,167,167,166,165,165,164,163,161,160,159,165,165,168,168,176,155,134,173,173,174,174,173,173,173,172,171,171,169,168,168,168,167,166,164,164,163,162,161,166,167,170,169,183,138,119,174,174,174,174,175,174,174,173,172,171,171,169,169,169,168,167,166,165,164,163,162,166,168,170,170,181,121,129,175,175,175,176,175,176,174,173,172,172,171,171,170,170,169,168,167,166,165,164,163,168,170,172,174,177,118,139,176,177,177,176,175,171,173,174,174,173,173,172,172,171,171,169,167,166,166,165,165,170,171,173,178,175,119,146,178,179,176,178,177,154,127,168,175,174,174,173,173,172,170,170,169,167,167,167,166,171,172,174,180,168,132,148,156,179,149,146,179,163,125,108,169,176,175,174,171,161,149,143,161,170,169,168,167,171,174,176,182,181,184,176,155,191,152,111,172,171,127,81,125,177,176,170,152,118,103,99,122,171,171,170,167,172,175,177,184,183,203,183,172,191,161,106,164,161,121,73,90,173,173,164,126,94,96,118,146,171,171,170,168,174,176,178,186,182,208,188,185,196,156,95,124,128,102,61,74,156,168,146,108,94,153,171,172,172,172,171,170,175,179,179,190,205,204,181,185,197,146,93,56,96,123,103,113,150,149,117,98,141,177,176,175,174,173,172,171,175,179,180,195,200,187,162,146,166,122,87,82,157,170,160,149,146,122,96,116,175,178,179,177,176,174,173,172,176,179,182,193,174,170,146,114,112,115,152,185,187,175,159,141,130,114,97,164,179,179,180,178,178,176,174,173,177,179,187,204,182,167,150,140,112,190,204,199,189,170,145,128,113,106,131,181,181,180,179,178,178,176,175,174,178,179,194,210,190,169,153,164,197,213,204,195,182,158,133,113,107,107,172,184,183,181,180,179,179,177,175,176,178,180,203,214,196,183,184,206,218,213,204,189,169,144,116,107,99,131,185,185,185,182,181,180,180,178,177,177,179,180,208,215,202,192,204,218,218,206,199,177,152,126,109,103,108,175,186,186,185,183,182,181,180,180,179,178,181,181,208,220,205,195,210,216,205,186,179,158,132,114,104,105,164,188,188,187,186,185,184,183,181,181,180,178,180,182,202,222,207,192,201,202,194,171,158,138,116,106,108,165,189,189,189,187,187,186,184,184,182,181,180,179,182,184,195,207,196,191,203,203,193,171,154,129,105,92,157,190,192,191,190,188,188,187,186,185,183,183,181,180,182,185,188,195,191,196,201,194,189,164,143,115,87,113,188,193,193,191,191,189,189,188,187,185,184,184,181,181,182,185,187,201,208,199,197,185,184,159,134,104,78,154,193,195,194,193,192,190,189,188,187,187,185,183,183,182,183,185,187,211,210,188,195,182,172,153,130,97,85,178,195,195,194,194,194,191,190,189,188,187,186,186,184,181,180,183,185,218,210,180,198,178,164,151,125,99,87,182,194,194,193,194,192,191,189,188,188,187,186,185,183,182
0,191,192,193,192,193,195,195,195,196,196,195,194,194,194,195,195,194,194,195,195,194,194,196,196,193,194,194,193,192,193,194,194,194,196,197,196,197,196,195,196,196,196,194,195,197,200,196,198,196,196,197,196,195,196,196,195,194,195,196,196,195,196,196,196,197,197,196,196,196,198,207,190,157,173,202,189,194,201,198,198,197,196,198,198,195,195,196,196,198,197,196,198,198,197,200,198,168,165,214,183,154,130,137,150,143,183,189,153,192,200,198,198,195,196,197,198,199,198,198,199,199,201,222,206,171,135,181,191,170,150,89,141,140,124,176,120,178,206,197,199,197,197,199,199,198,199,198,204,183,173,227,204,181,149,175,210,173,156,106,160,153,120,151,127,170,207,199,200,197,198,200,199,199,199,202,228,182,140,190,217,186,157,164,226,185,160,112,174,155,112,127,132,145,214,199,202,197,198,199,200,202,197,214,222,191,163,165,229,192,156,151,226,189,156,109,176,151,101,114,144,100,200,202,202,198,199,199,200,197,213,209,208,202,177,141,213,199,153,132,223,186,145,90,145,140,93,102,155,87,151,213,201,199,200,201,200,201,217,182,203,212,183,130,189,205,152,112,195,176,132,82,118,126,87,104,159,97,125,214,201,200,201,203,199,212,208,169,184,208,181,127,161,198,145,96,157,164,127,87,103,115,78,122,169,108,128,215,204,200,201,202,200,211,203,176,169,190,165,119,132,179,137,88,125,158,123,85,105,117,90,164,180,118,131,215,205,198,199,199,205,213,192,166,140,175,157,115,110,171,136,79,102,160,119,80,128,120,117,191,176,118,140,215,203,199,199,200,200,224,207,175,129,147,159,106,100,165,141,78,97,168,120,141,186,152,125,180,182,116,151,215,204,200,201,200,203,223,210,180,143,108,140,126,95,169,154,89,106,167,170,186,179,164,135,134,168,109,155,214,203,200,201,199,206,227,214,191,162,127,116,138,113,166,165,149,184,193,189,179,167,149,138,117,121,96,152,215,203,201,201,200,206,228,220,197,172,159,148,143,164,177,187,204,204,201,191,176,161,140,125,118,102,86,149,217,204,201,202,201,206,222,222,206,187,174,165,155,159,181,194,202,201,203,192,171,157,138,118,107,101,82,172,215,207,200,201,200,202,217,218,212,199,189,171,164,160,173,190,200,200,195,187,166,153,133,114,106,88,134,210,210,208,203,205,205,199,215,218,219,209,194,175,164,163,174,194,203,200,188,180,165,149,128,111,89,120,207,207,208,208,167,171,177,169,202,220,222,210,194,179,167,163,175,198,201,194,183,175,161,140,121,100,99,199,215,213,215,215,104,106,111,97,156,222,212,204,196,184,171,159,175,195,191,180,169,160,148,129,113,96,122,170,170,174,172,169,111,112,112,100,127,218,200,196,196,188,176,158,170,191,183,168,151,138,129,120,102,104,105,103,101,98,119,152,110,111,113,106,119,212,190,193,198,188,173,158,165,188,178,158,129,116,110,103,106,113,107,105,134,178,214,213,109,109,110,108,115,209,190,193,198,184,174,164,161,181,172,144,110,101,96,105,113,114,142,184,219,221,208,192,109,108,109,109,111,213,205,194,196,181,170,167,155,166,163,130,101,95,97,103,125,195,229,237,224,216,210,191,108,110,109,108,107,210,212,202,195,179,171,172,150,157,157,122,97,93,96,149,219,235,233,226,217,223,227,212,110,109,109,109,107,199,211,209,194,179,172,172,147,149,153,118,92,82,154,225,224,226,230,216,212,219,229,229
5,133,135,136,139,141,141,141,141,142,138,153,107,115,144,138,138,138,135,137,138,134,134,133,131,134,71,25,31,135,137,138,141,141,141,143,142,143,139,166,87,86,149,139,140,139,141,132,123,138,134,134,141,106,25,37,51,137,139,140,141,143,144,144,145,147,145,166,79,102,150,140,141,138,150,109,72,144,135,136,134,57,21,40,58,138,141,142,143,144,145,147,145,131,157,150,70,127,150,142,142,142,132,72,84,145,135,142,112,33,29,39,51,139,141,144,145,146,147,151,159,72,151,136,68,142,148,144,146,127,96,60,132,143,137,145,87,27,41,54,61,140,142,145,146,148,151,148,167,76,127,133,74,150,147,149,134,102,61,107,149,140,140,145,98,38,50,53,58,142,144,146,147,149,152,149,173,102,104,117,82,155,151,131,107,77,82,152,144,143,140,147,117,47,54,51,45,143,145,147,149,152,153,152,164,112,91,90,99,162,129,93,83,64,135,151,146,145,143,144,134,54,41,36,38,145,147,150,150,153,154,152,167,127,81,68,117,152,90,73,58,115,154,146,147,146,144,144,150,80,18,24,41,146,148,151,151,153,155,153,172,147,87,78,107,120,76,61,88,160,149,149,148,147,147,145,152,104,27,29,26,148,149,151,153,156,156,156,168,146,86,80,85,92,77,60,121,159,152,149,148,149,148,146,150,129,96,96,62,149,151,152,155,157,157,157,160,142,87,66,65,70,69,68,150,158,145,150,153,151,150,148,150,137,71,127,128,151,153,154,156,157,159,158,160,150,107,73,65,56,53,99,157,112,87,97,146,157,152,149,150,132,86,140,101,151,153,155,158,159,160,160,158,158,124,75,58,57,51,81,87,74,91,94,101,127,149,151,154,150,121,80,86,152,154,155,158,160,161,161,158,166,143,96,62,56,59,55,64,79,73,100,120,110,122,129,127,135,151,98,120,153,155,157,158,160,161,162,162,173,162,129,79,57,58,66,56,50,57,92,90,109,119,114,82,83,137,138,132,153,156,158,160,163,163,163,163,173,172,143,88,59,53,61,49,87,141,153,124,115,96,111,111,96,67,138,140,155,157,158,160,163,164,164,163,178,181,145,91,63,54,42,94,178,159,162,159,123,121,128,106,83,96,146,90,155,157,159,163,164,165,165,164,181,186,149,98,66,49,34,72,127,169,152,105,105,124,99,76,132,155,155,116,156,157,160,162,164,166,166,165,181,188,151,103,70,43,42,52,57,124,93,98,116,90,56,131,161,150,151,147,157,158,160,163,165,166,166,169,183,185,148,102,72,43,44,58,64,51,73,104,87,64,123,159,153,153,152,151,157,159,161,164,164,167,165,169,187,181,144,103,72,44,46,61,66,69,77,83,71,140,165,155,155,154,152,151,157,158,160,162,164,166,164,168,186,177,136,99,72,47,50,69,70,73,66,61,138,165,157,157,154,153,152,150,157,160,161,163,165,166,165,171,182,168,128,100,72,45,53,73,76,71,57,128,165,156,159,157,155,152,152,151,158,159,161,164,165,165,160,177,181,161,129,104,69,44,49,72,78,60,88,171,157,159,159,158,155,153,154,152,158,159,161,163,166,160,164,187,180,156,130,104,70,49,50,73,75,50,131,165,158,159,158,158,155,154,154,152,158,160,162,164,166,154,182,189,174,151,133,103,66,51,59,76,54,83,167,160,160,160,159,157,156,155,154,151,158,160,163,167,156,158,191,183,162,146,132,96,61,52,62,62,59,151,165,161,160,159,159,158,157,155,155,144
7,212,215,218,221,224,223,226,227,227,228,227,227,228,227,227,226,226,223,224,223,219,218,219,216,213,214,213,210,215,217,220,224,227,229,230,229,228,229,228,229,227,227,227,227,226,224,225,223,223,220,219,217,216,215,214,211,215,218,223,226,227,230,232,231,233,233,230,231,230,229,228,229,229,227,226,223,224,223,222,219,219,218,216,214,219,220,224,226,229,231,233,233,234,234,234,233,233,233,232,231,228,228,229,227,227,225,224,222,221,218,218,216,220,223,226,228,232,231,232,234,234,234,234,234,234,232,233,234,232,232,229,227,227,227,226,223,222,220,220,218,220,227,229,230,231,233,234,234,235,234,235,236,235,233,233,232,235,234,233,233,232,228,223,226,224,224,222,217,223,226,229,234,234,234,235,237,237,237,237,237,238,239,239,238,235,230,224,218,193,206,227,208,228,225,223,221,227,227,229,234,235,237,238,243,243,244,241,233,228,218,208,205,206,193,184,185,156,208,236,171,220,224,227,223,226,228,232,233,235,240,236,225,213,216,214,202,185,165,154,175,199,193,173,163,149,157,177,150,217,223,205,227,228,232,232,236,240,229,214,186,176,174,171,181,174,168,148,142,150,131,138,146,142,141,158,172,240,238,144,223,230,234,234,235,233,220,199,183,183,172,157,160,171,166,136,130,123,158,185,207,180,176,173,173,177,169,156,231,229,233,230,221,208,202,201,198,179,131,125,155,184,178,160,155,140,162,183,187,164,146,126,118,129,172,224,233,228,223,214,208,204,203,193,197,177,112,117,134,145,141,137,144,128,122,137,118,113,118,157,199,227,239,233,232,220,214,211,210,211,193,182,181,180,151,104,83,71,69,72,89,90,103,130,164,201,229,247,243,237,233,233,232,216,213,209,203,194,187,185,183,189,177,123,77,47,85,155,162,189,213,244,254,249,243,238,237,235,235,235,233,214,206,197,190,184,179,177,176,173,150,120,86,70,87,229,255,255,254,247,242,242,242,241,239,239,237,235,234,208,196,187,178,171,165,159,154,151,139,105,73,76,74,68,224,255,246,247,244,244,242,243,242,241,238,238,236,194,197,177,173,159,158,154,148,147,141,107,66,69,98,62,114,255,247,249,248,247,244,243,242,241,240,240,238,73,156,182,173,164,157,154,155,158,156,111,65,59,87,81,111,255,251,252,250,249,248,246,244,241,240,241,238,31,42,144,183,171,163,151,142,140,126,98,75,68,55,46,151,255,251,253,250,249,249,248,245,243,242,242,240,36,25,39,152,179,165,153,137,120,105,89,85,81,60,52,82,251,255,254,252,251,250,247,246,244,243,242,241,29,31,16,56,156,146,134,122,112,95,86,84,84,69,52,89,253,255,255,253,252,251,250,247,246,245,243,241,25,21,23,17,76,118,103,86,83,51,54,80,71,88,172,219,255,254,253,254,252,251,251,249,248,247,244,242,18,16,19,21,7,22,80,143,47,37,50,63,83,221,255,255,255,255,255,253,255,252,251,250,249,247,244,244,6,11,17,28,0,19,221,229,35,47,62,124,232,255,255,255,255,255,255,254,255,254,251,251,250,248,247,244,9,5,28,13,38,232,255,255,183,174,221,255,255,255,255,255,255,255,255,255,252,254,252,251,251,249,248,243,45,25,10,50,244,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,252,252,251,250,249,246,242,25,21,0,145,255,251,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,253,252,251,249,249,246,243
23,177,179,180,185,190,195,199,202,204,207,209,210,212,214,216,217,218,217,218,218,217,216,216,215,214,214,213,214,177,181,181,187,192,196,201,202,204,208,210,211,213,215,216,218,219,218,218,218,218,218,217,217,217,216,215,214,178,181,182,188,193,197,201,203,206,209,211,213,216,216,217,219,219,219,217,218,219,219,217,218,218,217,217,216,178,182,183,188,193,197,202,205,206,210,212,215,217,219,219,219,219,219,219,221,222,223,224,221,218,217,217,217,180,182,185,189,195,200,204,206,209,212,214,216,217,219,221,221,222,222,221,222,219,202,197,212,222,220,219,218,181,183,185,191,197,202,206,208,211,213,215,216,218,219,221,224,223,222,221,219,212,199,191,182,205,207,222,218,182,184,184,192,197,202,206,208,210,214,217,218,220,221,223,223,225,229,214,222,216,177,202,194,161,136,224,220,181,185,188,193,198,202,206,210,212,216,218,220,223,224,226,224,232,227,183,192,160,109,160,146,132,184,226,220,183,187,189,193,199,204,207,212,214,217,219,222,223,225,224,231,231,221,159,100,150,194,227,212,220,230,224,224,185,188,190,195,200,204,207,211,215,218,220,221,223,226,226,237,226,223,158,133,244,228,230,230,228,225,225,224,185,187,191,196,201,207,210,213,216,218,221,223,224,223,224,230,217,218,198,198,216,188,167,224,228,226,226,226,187,188,192,198,202,208,212,214,217,220,223,224,229,213,209,206,218,224,225,233,219,192,105,189,239,225,227,226,187,189,192,198,203,208,212,215,216,221,223,231,233,208,187,187,195,192,186,201,195,180,106,172,242,226,227,227,188,189,192,199,205,209,213,216,217,222,223,235,226,196,167,157,198,209,199,185,164,169,115,162,244,228,229,228,189,191,193,199,206,210,213,216,221,222,228,241,226,194,171,167,178,198,204,211,192,153,100,151,244,229,230,230,189,190,194,201,207,211,214,218,222,222,237,242,229,212,210,209,189,165,154,167,178,149,81,159,250,229,231,231,190,192,196,202,208,211,216,221,223,225,243,240,229,211,211,199,213,192,166,153,126,112,82,153,232,234,232,231,190,191,196,203,207,211,217,220,221,240,245,246,222,197,192,159,209,211,178,148,115,90,116,160,177,246,231,233,189,191,196,202,208,213,219,216,234,254,245,236,191,146,151,133,137,185,192,137,99,95,123,148,107,183,244,232,192,193,198,203,208,215,214,228,255,253,238,212,188,147,103,112,131,221,208,127,98,94,122,118,87,86,226,237,192,194,197,203,209,212,222,255,255,244,226,201,186,155,96,133,194,215,177,109,92,88,119,110,98,76,195,245,193,195,197,204,210,209,252,255,248,231,210,206,184,141,93,88,123,143,126,87,84,107,117,110,85,113,226,238,193,195,198,205,206,229,255,253,243,223,209,199,169,137,109,80,84,94,101,98,91,120,116,99,138,227,242,236,192,191,202,207,214,255,253,247,233,212,199,185,157,129,100,95,119,125,122,116,102,95,119,186,246,242,237,238,191,193,183,174,252,255,241,234,218,202,187,170,143,118,95,111,131,133,126,108,94,148,232,247,238,238,238,237,189,201,120,78,244,255,231,218,199,184,172,156,131,112,101,121,126,119,93,104,200,249,243,238,239,238,238,238,195,174,91,78,112,199,220,200,190,177,165,146,126,103,100,114,110,86,116,219,251,239,240,241,240,239,238,238,196,119,75,84,78,88,137,161,162,157,146,137,108,80,80,91,93,142,234,250,239,242,242,242,241,239,239,239
2,159,163,167,168,169,170,171,172,172,171,172,172,169,169,170,169,169,169,171,166,161,159,158,156,155,153,151,149,163,165,168,169,170,172,174,175,174,175,175,175,178,178,175,173,170,163,152,162,173,164,160,158,156,153,153,151,165,166,170,170,172,173,174,176,175,176,177,161,131,133,142,139,125,116,95,69,114,160,168,164,158,157,154,152,166,169,172,174,173,174,176,177,176,178,177,151,120,117,124,126,116,100,88,56,34,79,114,140,164,158,157,155,167,171,173,174,176,177,179,178,179,182,163,136,140,139,138,134,119,88,62,68,74,68,73,85,165,158,158,155,167,171,173,175,177,178,179,179,181,176,139,129,146,147,134,123,118,89,76,85,104,100,59,72,166,160,158,156,168,171,174,177,177,178,179,180,182,172,150,141,132,115,100,128,140,60,39,63,74,66,55,131,169,161,159,158,171,173,176,178,179,180,181,181,184,172,143,143,133,115,104,100,68,85,150,120,94,103,163,173,163,163,160,159,171,175,175,177,180,182,183,183,181,170,166,150,124,99,67,62,88,167,187,184,182,179,171,170,173,172,166,159,173,175,175,178,183,183,183,182,158,158,153,127,87,18,92,180,186,184,177,175,175,172,177,155,109,90,139,166,173,175,178,179,181,182,185,179,149,146,125,89,31,0,100,200,180,183,182,178,175,179,156,80,42,33,71,168,173,176,179,181,182,184,183,170,140,125,86,30,8,4,87,197,181,184,182,178,182,161,91,53,46,38,65,171,174,178,178,181,184,185,178,169,150,114,41,2,17,8,105,197,181,184,180,183,167,93,60,59,47,25,119,173,175,177,180,181,183,185,177,172,149,113,45,5,20,8,85,206,182,182,184,186,103,40,42,50,31,62,174,164,175,178,182,183,184,184,180,171,144,106,37,10,21,14,12,135,192,193,184,126,61,25,27,32,28,151,173,164,176,179,181,185,185,185,176,169,144,92,32,27,22,15,16,16,72,142,95,53,46,47,27,26,135,178,167,167,176,178,182,185,187,184,176,170,142,90,50,37,20,19,24,29,25,33,28,29,42,41,33,144,183,173,170,167,176,178,183,185,187,185,175,166,142,103,58,35,18,19,20,29,36,41,33,35,45,28,140,185,173,174,171,167,175,179,183,185,187,185,168,158,142,100,63,41,17,18,20,28,35,43,41,33,17,104,194,174,176,173,171,167,175,179,183,185,187,184,164,154,136,98,74,41,14,18,24,28,35,45,51,28,44,179,181,177,174,173,171,169,176,179,183,185,187,182,164,154,131,103,71,39,17,17,25,31,38,43,46,21,145,191,178,179,177,174,173,171,176,180,184,185,188,180,159,162,145,103,69,47,18,16,27,34,40,48,29,49,191,183,183,180,178,175,174,171,176,179,182,184,190,175,158,173,151,100,68,47,20,14,29,36,42,46,10,125,195,181,181,179,177,174,172,170,174,177,180,182,186,170,162,172,141,96,66,50,25,11,31,39,42,18,52,190,182,181,179,177,175,173,170,170,172,176,177,180,184,166,163,163,132,89,64,51,28,12,29,37,26,17,158,190,180,179,178,176,175,172,169,168,172,176,177,179,184,165,160,154,121,86,67,51,30,14,27,29,7,129,193,179,181,179,176,175,174,171,168,166,172,174,176,179,182,162,155,138,107,82,63,46,26,16,17,17,121,196,181,183,180,178,176,176,174,170,169,167,169,173,176,179,179,160,143,129,101,74,59,43,29,12,27,151,194,183,183,182,178,176,174,172,171,169,167,165
22,175,175,176,175,176,177,177,176,176,177,177,177,175,174,173,172,172,172,170,169,167,166,165,163,161,159,157,155,178,179,178,179,179,180,180,179,179,180,180,180,178,177,177,176,175,174,172,171,171,170,167,166,164,162,160,158,181,181,182,182,183,183,182,182,182,180,158,174,182,180,171,160,176,177,175,175,173,172,170,168,167,166,163,161,184,184,185,185,185,186,186,186,184,178,139,146,185,184,176,126,166,180,179,178,177,175,173,171,147,153,166,164,186,187,188,188,188,188,188,188,186,179,150,122,184,186,181,122,149,183,181,180,179,177,176,175,127,123,169,166,188,189,191,192,190,190,191,190,189,185,162,110,174,188,182,122,132,186,184,182,180,179,180,170,113,128,173,171,191,192,193,194,193,193,194,193,193,188,165,107,160,192,186,127,124,186,186,185,183,181,184,157,104,145,175,172,194,195,195,195,195,196,196,195,196,192,175,125,140,195,191,134,116,186,188,188,185,185,187,142,102,165,176,173,197,196,196,197,198,198,198,196,197,196,186,143,120,194,192,128,107,185,190,189,187,190,179,129,116,178,178,176,199,199,198,199,200,199,200,199,200,199,192,151,103,184,193,125,105,184,193,191,188,187,160,107,143,183,180,179,200,201,201,201,201,201,200,201,202,201,193,164,107,157,195,135,108,182,196,193,190,179,139,98,172,184,181,180,202,202,202,202,202,202,202,202,202,203,191,173,136,123,186,139,108,179,199,196,195,178,122,124,188,186,184,182,204,203,203,203,203,203,203,204,203,204,198,181,159,134,168,142,122,159,193,197,191,162,108,160,191,188,186,185,206,206,206,205,205,205,205,205,205,206,205,187,183,185,183,169,166,124,128,174,176,135,110,185,191,189,187,185,207,207,207,207,207,207,206,207,207,208,208,196,187,171,157,160,168,123,93,102,124,101,138,196,193,190,189,186,208,208,208,208,208,208,209,209,209,208,209,204,192,144,87,108,155,138,112,102,101,77,165,198,195,193,190,188,209,209,209,210,209,209,210,210,210,210,209,204,184,129,85,69,117,136,125,119,110,72,169,200,197,195,193,191,210,210,211,211,211,211,211,211,212,211,210,201,184,152,110,72,72,82,106,121,99,67,138,202,198,197,193,192,212,212,213,213,214,214,213,214,214,213,211,198,186,158,109,76,78,86,113,150,125,84,94,192,199,197,194,194,214,214,214,214,214,215,215,215,216,216,212,197,186,152,111,85,87,117,169,183,158,112,70,150,201,198,196,195,213,213,214,214,214,215,215,215,216,215,213,198,189,164,124,91,95,146,194,202,180,140,75,122,202,198,196,195,214,213,214,214,214,215,215,215,215,215,213,197,187,170,132,94,104,166,201,199,176,131,71,132,201,197,196,194,214,215,215,215,215,216,216,216,216,216,214,193,183,180,138,101,114,180,202,184,152,112,65,159,200,196,195,194,216,216,216,216,217,217,217,218,217,217,215,190,179,177,139,104,114,186,191,166,131,100,76,182,201,199,197,195,216,217,217,217,217,217,218,218,218,218,217,190,174,169,139,102,105,174,178,159,119,85,90,195,202,200,186,143,214,215,216,217,217,218,220,220,220,219,220,198,174,167,139,107,106,167,172,147,103,68,117,203,188,146,96,56,149,152,156,161,165,168,172,174,177,181,185,183,172,163,139,118,103,156,162,128,86,60,132,143,92,58,49,42,106,106,107,109,108,107,108,107,107,109,110,123,171,164,138,120,97,128,132,97,66,51,68,59,38,41,48,37
19,166,167,168,170,172,173,172,172,173,172,172,172,171,171,170,170,169,167,167,167,166,166,165,164,164,163,161,160,167,168,170,171,172,173,173,173,174,174,174,173,172,172,171,171,170,168,167,167,167,166,166,165,165,165,164,162,168,170,171,172,173,174,174,175,175,175,175,174,174,173,173,171,170,170,170,169,169,168,167,167,167,165,165,165,170,171,172,173,174,175,176,176,176,175,176,175,174,174,174,173,172,171,171,170,170,170,169,168,168,166,166,166,171,172,173,174,176,177,178,178,178,178,179,177,176,176,175,174,172,172,172,172,171,171,170,169,167,167,166,166,171,172,174,175,177,179,179,179,179,179,179,179,179,177,176,175,174,173,173,174,173,172,170,170,169,168,167,167,172,174,176,178,179,179,181,181,181,181,180,179,179,178,177,178,176,175,175,174,174,173,171,171,170,169,168,168,174,177,178,179,180,181,182,181,182,181,181,180,180,179,178,178,178,177,177,176,175,174,173,173,172,170,170,169,176,178,179,180,182,182,183,183,184,183,181,180,180,180,176,165,167,176,173,172,173,173,171,169,171,151,167,169,176,179,179,181,182,182,182,183,183,180,180,181,181,182,179,165,169,179,170,169,176,170,168,164,154,108,159,171,177,180,180,181,184,185,184,185,186,166,157,162,170,172,168,163,166,168,161,166,179,170,153,133,116,131,169,173,179,180,181,182,185,185,184,183,167,158,164,167,166,169,163,149,127,124,121,129,148,139,134,139,157,172,174,174,179,181,181,183,184,182,189,191,178,177,180,174,163,153,130,124,110,89,94,136,167,171,176,177,177,177,175,175,181,182,183,184,185,179,212,213,196,184,180,173,165,146,113,87,98,86,90,163,181,180,179,178,178,177,176,176,182,182,183,186,187,180,216,210,181,157,139,138,138,135,109,89,98,89,99,178,182,180,180,179,179,179,178,177,183,184,185,186,189,180,204,198,165,130,113,88,95,138,115,95,99,91,108,182,183,181,181,180,180,180,179,178,183,185,186,187,189,177,196,193,157,114,87,69,109,143,116,98,101,94,125,185,184,184,183,182,181,179,178,178,184,186,188,188,190,174,196,196,166,132,99,78,109,111,99,97,96,101,114,185,185,185,184,183,182,180,179,178,185,187,187,188,190,173,195,197,170,139,112,91,68,58,59,71,83,95,98,181,186,185,184,184,183,181,180,180,186,188,188,189,191,170,193,196,171,141,116,104,91,71,65,73,86,90,95,173,187,187,186,185,185,182,181,181,186,188,188,190,192,174,187,193,169,140,116,107,104,89,83,87,93,97,98,173,187,187,187,185,185,184,183,183,186,188,189,191,193,175,185,190,165,138,118,109,107,93,88,92,98,102,106,180,188,188,187,186,186,186,186,184,187,189,189,192,194,180,185,188,162,136,118,108,106,96,93,96,102,105,123,187,189,188,188,188,187,187,186,184,187,189,191,192,195,179,190,187,157,133,117,106,106,103,101,103,108,109,157,191,191,189,189,189,188,186,186,184,188,189,191,193,194,179,196,190,161,137,121,108,106,110,108,111,114,129,186,193,193,192,190,189,189,187,187,186,188,189,192,193,194,176,198,187,166,144,123,109,106,112,112,115,139,179,193,194,193,193,192,191,189,188,186,186,187,188,190,191,191,181,194,180,159,145,124,110,110,110,109,147,188,192,193,193,192,191,189,189,189,188,187,185,187,188,190,193,187,195,194,181,156,138,124,110,109,105,109,171,192,192,192,192,192,190,189,189,188,186,185,185
21,145,148,152,155,158,159,162,163,164,166,166,167,168,168,169,167,167,166,166,165,165,164,162,163,161,159,159,158,144,149,153,157,158,161,163,165,166,166,168,169,171,171,170,169,169,168,168,166,165,165,164,163,163,160,160,159,146,150,153,157,159,163,164,165,167,168,170,172,173,171,176,143,142,174,170,169,168,167,166,164,164,163,162,161,148,151,155,158,161,164,166,166,168,171,173,173,174,174,189,127,102,175,172,170,169,168,167,166,166,164,163,162,147,152,157,160,162,165,168,168,170,173,175,174,173,176,187,126,111,176,173,172,171,168,168,169,168,166,166,165,149,153,157,162,163,165,168,171,172,173,175,175,174,182,185,124,115,178,174,173,170,146,121,168,169,168,167,166,152,156,159,163,166,167,170,172,173,174,175,176,176,187,184,125,121,179,175,173,167,131,95,166,171,169,168,167,152,156,160,164,167,170,172,173,174,175,177,178,178,190,180,127,124,180,176,173,162,124,107,174,172,171,170,168,151,155,160,164,167,170,172,174,176,178,179,179,178,193,177,125,120,182,177,172,156,112,130,178,174,173,171,169,152,157,161,165,168,171,173,174,177,179,179,180,179,198,177,123,116,182,178,170,151,104,157,178,175,173,172,171,154,158,163,168,170,172,174,175,178,180,181,182,180,206,178,116,128,185,173,163,135,108,176,177,175,174,174,172,155,160,164,167,170,173,175,177,180,180,179,178,184,202,161,105,141,184,168,161,110,127,181,178,176,175,175,174,156,161,164,167,171,174,176,178,179,185,164,137,155,179,132,91,145,182,175,149,98,161,182,179,177,176,175,175,156,162,165,169,172,174,176,179,179,188,163,118,109,104,96,85,153,178,172,127,109,182,181,180,179,178,177,175,156,162,165,169,173,175,178,180,185,184,176,157,137,97,79,99,139,154,148,102,141,188,181,181,180,179,178,177,158,163,167,170,174,177,180,180,196,201,192,204,170,124,79,91,106,121,116,95,171,186,182,182,182,181,180,179,159,163,167,172,174,178,180,187,182,183,186,200,163,112,86,82,93,99,95,114,188,186,185,184,183,182,181,180,159,164,168,173,176,179,180,194,159,148,173,152,155,121,95,83,80,89,84,144,193,187,186,185,184,183,181,181,160,164,169,173,177,180,180,200,179,149,125,99,160,143,105,88,79,83,84,163,193,188,187,186,185,184,182,183,160,164,170,174,177,180,184,201,168,127,104,85,143,158,123,97,86,82,80,163,193,188,187,187,186,185,183,183,161,165,170,175,179,180,188,201,162,145,138,113,168,176,140,118,92,86,80,162,195,188,187,188,187,187,185,183,161,166,171,175,179,179,195,204,171,160,133,151,216,181,144,132,100,90,86,168,196,191,189,189,188,187,186,186,161,166,171,176,180,180,197,206,189,153,141,204,209,169,137,129,106,93,90,173,196,192,191,189,189,188,187,186,162,167,172,177,180,181,197,216,190,148,156,213,195,164,133,120,109,95,99,184,196,193,192,191,190,189,188,187,161,166,172,176,180,180,196,208,168,162,158,211,191,167,149,112,102,96,110,192,195,192,192,192,190,189,189,188,159,165,171,174,177,179,191,191,165,183,152,207,191,160,147,116,99,96,125,196,193,193,192,191,189,187,187,187,160,165,171,175,178,180,186,184,194,190,156,202,178,148,129,111,101,95,137,197,194,194,192,191,190,188,188,187,159,165,172,176,178,181,184,187,197,179,150,188,166,136,112,102,99,93,152,198,194,195,193,191,190,188,189,187
6,186,187,188,188,189,189,188,188,188,187,188,186,185,184,183,182,182,180,179,177,177,177,177,175,173,172,123,140,187,189,189,189,190,190,188,190,189,189,188,187,187,186,186,184,183,182,180,179,179,179,178,177,175,172,167,125,190,190,192,192,192,192,190,190,191,190,189,188,188,189,187,187,184,182,183,182,182,181,179,178,177,174,173,158,190,193,193,194,194,194,193,192,193,193,192,190,189,189,188,187,186,185,185,185,185,181,179,179,177,176,173,165,192,194,195,195,196,196,194,194,194,193,192,192,190,190,190,189,188,188,186,185,185,183,181,181,179,177,174,170,194,195,195,196,197,196,196,196,195,195,195,194,193,191,191,192,190,188,187,187,186,185,183,181,181,179,178,174,194,195,196,198,199,199,198,199,197,196,196,196,195,194,194,192,190,186,186,185,185,183,179,179,173,176,176,176,195,196,197,199,200,201,199,200,202,200,196,194,190,184,182,179,178,156,157,171,172,158,167,163,171,211,159,169,196,198,201,201,200,200,199,198,191,180,182,183,177,179,181,183,172,168,157,178,182,165,169,171,162,192,141,163,198,201,202,202,201,200,201,206,183,162,171,183,185,191,193,191,176,155,156,150,150,139,128,131,121,125,151,181,199,200,201,203,203,199,210,218,190,174,165,164,168,163,159,151,142,133,108,103,95,101,141,147,164,178,184,180,199,201,202,202,204,201,219,220,202,189,173,158,153,144,138,128,115,96,70,57,55,159,202,192,191,187,182,181,200,201,203,205,204,208,226,222,214,185,151,144,149,157,155,149,139,131,129,91,128,202,188,188,187,186,184,183,202,203,204,207,202,217,231,226,211,157,128,136,141,152,157,156,146,135,136,106,141,204,190,191,189,188,186,184,203,205,206,207,201,227,228,224,185,134,143,139,131,133,150,141,132,131,125,82,147,203,192,193,190,188,187,186,202,205,207,204,208,231,224,223,194,174,160,143,121,121,154,146,139,142,125,94,189,198,194,193,192,189,188,187,204,207,208,202,222,226,225,227,225,211,173,141,147,156,156,149,136,124,122,105,162,204,194,195,192,190,188,186,206,207,203,208,228,226,228,224,222,218,167,130,136,142,141,139,124,115,115,84,155,205,195,196,193,191,188,186,205,207,200,216,226,229,226,218,217,199,158,134,129,120,124,131,128,122,102,99,190,200,195,195,194,190,190,193,206,198,200,222,225,227,219,211,206,200,183,165,134,96,104,128,124,123,94,132,206,194,196,195,190,190,189,166,206,186,213,223,226,221,217,217,210,203,209,197,148,114,129,149,138,117,108,95,187,201,194,193,194,201,128,53,195,193,221,224,223,220,222,219,206,210,214,184,132,112,121,122,113,102,91,87,186,200,199,203,176,113,51,40,190,211,217,221,218,214,208,204,201,210,198,159,122,116,115,104,95,89,84,154,211,201,174,116,66,41,41,37,204,213,218,214,207,200,193,194,194,180,160,133,117,107,86,121,139,158,183,190,149,101,55,39,40,39,40,39,212,211,214,207,193,189,187,183,182,161,136,125,124,116,129,183,162,139,109,71,43,22,27,37,37,32,35,32,209,210,202,191,180,170,181,179,168,156,145,131,110,81,83,59,40,32,30,40,28,14,25,30,32,29,31,28,208,206,199,188,175,164,166,160,147,139,122,96,65,43,26,31,31,32,36,37,16,8,20,25,30,27,28,30,210,201,195,179,157,151,145,130,113,102,81,56,34,42,32,19,24,26,31,33,10,5,16,23,28,24,23,28
21,18,62,77,83,92,104,121,130,138,143,147,151,153,156,158,167,166,167,169,170,172,175,175,175,176,178,178,177,24,66,78,85,93,106,122,132,139,144,147,151,154,163,161,134,166,169,171,173,174,176,177,178,178,179,179,179,30,69,79,86,94,109,124,134,140,145,150,155,151,183,169,86,157,175,173,175,176,178,180,181,181,180,181,181,37,73,80,88,95,111,126,134,141,147,151,156,152,185,171,95,151,179,175,177,176,179,181,181,182,182,183,183,44,75,80,89,98,114,128,135,142,148,153,157,153,186,168,97,144,181,175,179,180,182,184,184,184,188,186,186,50,77,81,90,100,117,128,139,145,149,155,159,154,186,175,107,139,185,176,180,182,184,187,184,138,150,194,188,58,78,83,92,102,120,130,140,146,151,156,160,157,184,177,116,128,187,180,182,184,185,189,167,106,132,198,188,64,78,85,93,104,120,132,141,148,154,158,160,158,183,175,121,114,186,181,184,185,191,185,145,104,179,194,190,68,79,87,93,104,122,133,141,148,155,159,160,160,190,188,123,109,186,181,185,187,195,172,118,135,200,191,193,71,80,87,95,107,126,135,143,149,155,159,163,162,196,193,134,116,187,184,186,189,177,147,108,185,196,193,194,75,82,87,96,109,126,135,144,151,155,159,162,158,184,176,129,111,184,183,189,190,169,111,139,204,193,195,195,76,82,89,97,111,127,137,144,151,157,161,195,157,144,145,109,107,184,185,190,190,152,104,187,198,195,196,196,77,82,91,99,113,129,137,145,154,155,168,203,152,109,102,89,110,169,177,182,176,108,144,204,195,198,197,197,78,84,92,98,114,131,139,146,154,157,194,159,131,106,75,85,113,153,165,162,129,102,195,197,197,198,198,198,78,84,92,99,116,132,140,149,149,192,206,179,148,130,83,74,99,129,144,130,89,153,207,195,199,199,199,199,79,84,93,101,119,131,140,148,154,202,193,213,192,151,96,72,95,109,127,107,103,201,199,199,199,199,199,200,79,85,94,102,120,131,141,143,173,177,175,206,193,126,91,80,85,99,108,87,152,208,198,200,201,201,201,201,79,86,95,103,123,133,145,145,190,187,153,122,155,124,98,84,81,88,90,85,184,203,201,201,201,201,201,201,81,87,95,104,122,132,144,148,193,156,120,105,147,144,107,85,83,80,85,86,190,202,202,203,203,204,203,203,82,89,94,105,123,134,142,157,203,163,157,140,140,167,117,98,89,82,79,88,192,204,202,203,204,205,205,204,82,89,96,105,124,135,141,165,203,177,162,131,200,201,132,122,94,78,77,97,199,203,203,203,204,204,204,205,82,89,97,108,126,135,140,169,214,188,149,163,230,186,138,125,96,79,75,108,206,202,203,204,204,204,205,206,82,91,97,109,125,135,140,171,215,168,148,180,207,161,125,116,102,83,71,136,212,201,204,205,205,205,206,206,85,91,95,109,126,136,143,167,196,161,160,174,196,157,136,106,100,85,73,166,207,201,204,205,206,206,207,207,84,90,95,110,127,137,143,161,179,179,175,170,199,153,147,115,86,82,79,185,206,202,205,205,206,207,207,207,83,90,97,113,127,135,146,154,183,202,158,175,192,142,129,108,84,76,92,197,204,204,206,206,206,207,207,207,82,89,94,112,125,134,146,148,181,195,158,153,171,125,107,91,82,67,112,203,199,204,207,206,206,208,207,208,82,88,92,111,123,134,144,150,168,175,156,154,153,125,108,96,84,63,127,206,197,202,203,203,204,206,206,207
22,115,119,122,126,128,132,135,139,141,145,149,148,148,150,151,153,154,154,152,153,154,154,156,156,156,155,156,155,118,123,125,129,132,135,140,143,145,148,151,151,156,155,156,157,156,161,157,158,159,158,160,160,159,159,159,159,121,127,129,132,135,139,142,146,149,151,154,155,119,154,160,161,156,121,161,159,155,163,163,165,163,163,163,161,123,128,132,135,138,141,144,150,152,154,160,150,75,142,168,167,167,71,150,173,124,121,173,165,165,165,167,165,125,130,134,137,141,145,148,153,156,155,169,142,60,147,168,178,164,78,155,183,125,86,178,168,169,168,169,169,128,132,137,141,144,148,152,156,158,158,175,139,55,150,169,186,161,86,163,182,123,83,176,170,171,172,172,172,131,135,140,143,146,150,154,157,162,160,177,151,60,150,174,186,147,90,169,186,132,90,178,174,174,174,175,175,133,138,141,145,149,153,157,161,166,162,179,166,62,141,179,184,130,88,173,185,129,96,182,177,177,176,177,175,136,141,143,148,152,156,160,164,168,165,186,168,61,139,184,172,114,91,177,185,128,97,187,179,180,180,180,180,137,142,146,150,155,157,161,166,170,168,187,180,73,130,196,150,107,90,183,187,129,103,190,180,181,181,182,182,138,143,148,151,155,158,163,166,171,172,182,192,125,107,114,133,120,92,189,192,120,112,194,180,183,184,183,184,140,146,149,154,157,161,165,169,172,174,181,181,152,122,97,102,115,109,194,185,109,125,198,183,186,187,187,186,142,147,151,155,158,163,166,171,175,173,189,209,172,164,164,142,84,119,192,178,100,141,198,186,187,187,188,188,144,149,153,156,160,164,168,173,176,180,183,169,174,122,180,161,96,70,149,143,86,160,196,188,188,189,190,190,146,151,155,159,164,166,170,175,177,184,176,145,158,61,101,170,133,70,71,97,68,172,195,189,188,190,191,190,147,152,156,160,165,167,170,176,178,188,191,144,144,94,21,133,173,115,61,58,71,188,194,192,191,192,193,192,148,153,157,161,165,170,174,177,178,196,183,131,123,105,45,74,194,155,94,52,74,196,194,194,194,195,194,194,149,154,158,162,165,170,174,179,178,202,192,141,95,76,64,141,201,165,118,77,75,198,195,196,196,196,195,195,150,155,159,162,167,171,173,179,180,208,186,133,97,103,108,207,195,147,116,80,74,203,196,196,197,196,196,196,151,157,160,164,168,172,176,180,183,202,179,135,126,106,151,206,176,135,95,61,94,206,195,197,197,199,199,198,152,158,162,166,170,173,178,182,183,199,176,132,130,102,173,204,157,121,89,53,122,212,197,200,200,202,202,202,152,157,162,167,170,174,178,181,183,193,173,131,141,113,187,203,145,108,81,53,131,213,200,203,204,204,204,203,152,157,163,165,169,174,178,182,184,185,174,139,157,118,178,186,138,102,75,47,146,213,200,203,204,204,204,204,152,157,162,166,169,173,178,182,186,181,173,146,158,120,168,165,125,95,70,48,165,209,201,203,203,203,205,205,154,158,163,167,171,174,178,182,185,185,179,151,146,111,147,145,107,94,67,59,184,204,202,203,203,204,204,203,154,159,163,168,172,175,179,184,184,185,180,145,118,98,139,121,102,97,62,99,205,201,202,203,204,205,204,204,153,158,163,168,171,176,179,183,181,187,183,150,124,119,146,106,115,84,53,169,209,203,204,204,205,205,204,203,154,158,163,167,172,175,179,183,177,191,191,162,147,128,142,101,117,56,104,209,201,204,205,205,205,205,205,204
13,101,103,108,118,125,130,134,135,139,143,149,151,152,155,158,159,160,161,161,163,164,162,163,162,163,164,163,162,104,107,112,119,127,131,135,137,140,145,149,152,154,157,160,161,162,163,164,166,166,165,165,164,167,167,167,164,106,109,115,123,131,134,136,140,143,147,150,154,157,160,162,163,163,166,166,165,166,166,168,167,169,168,168,167,109,111,118,125,133,136,140,143,145,150,152,155,159,162,163,160,165,159,164,175,175,170,169,170,171,170,168,168,111,113,119,127,133,138,142,146,149,152,155,158,162,163,171,198,195,144,95,139,156,170,177,171,172,172,171,171,112,115,122,130,136,141,144,148,151,154,159,160,164,161,164,187,200,142,71,42,96,99,146,178,172,174,174,173,112,117,124,130,137,142,146,149,152,158,161,167,180,126,104,118,183,149,79,37,111,82,55,179,176,175,174,174,113,117,126,131,139,144,145,152,155,161,148,193,211,167,119,65,135,186,115,41,118,80,54,178,177,177,176,176,114,118,128,134,140,145,149,152,157,178,118,97,196,203,153,73,46,183,122,43,126,94,67,186,177,179,177,177,117,121,128,135,142,146,150,151,190,198,141,69,96,218,172,102,12,68,99,29,161,103,108,190,178,180,179,178,119,123,130,138,143,149,147,186,188,196,174,112,28,176,165,93,19,0,29,30,128,73,134,193,179,182,180,180,120,124,134,141,146,146,169,195,131,167,185,126,22,119,155,78,17,0,41,90,106,74,76,188,184,183,183,182,121,127,137,143,148,149,201,193,140,141,158,100,24,81,153,103,13,29,121,130,97,76,57,137,196,182,185,183,126,131,139,146,148,166,194,161,114,118,137,73,10,46,169,120,21,124,166,135,91,58,65,78,194,184,186,186,127,133,143,151,149,181,206,169,125,93,114,74,5,0,148,99,83,184,160,128,90,63,48,72,195,186,187,187,128,136,147,155,153,186,213,176,143,82,76,65,8,52,158,157,180,172,143,107,83,59,25,128,202,187,190,190,130,139,150,158,155,195,221,187,151,100,69,73,109,165,194,198,190,159,127,95,74,43,43,185,192,191,191,190,132,142,153,161,158,202,224,199,151,123,133,126,143,171,191,186,177,147,114,91,63,22,88,206,188,193,192,192,137,147,157,164,163,204,214,210,165,146,149,116,161,175,185,186,161,131,104,79,54,11,140,206,192,194,193,193,141,153,162,169,169,192,207,215,181,161,152,128,166,189,174,168,139,112,89,70,30,50,203,197,197,196,196,196,145,155,166,173,175,179,209,208,192,169,149,135,156,183,170,141,122,98,84,57,33,173,208,199,200,199,198,198,148,158,168,173,180,176,199,198,193,177,164,149,144,171,164,132,108,84,75,32,143,217,201,203,202,201,198,197,151,161,170,175,182,180,186,206,196,190,183,161,142,160,155,120,83,80,44,97,217,203,206,207,203,201,209,209,153,164,174,180,185,182,177,207,188,182,176,151,134,146,136,107,68,64,53,195,211,206,209,207,205,213,171,103,155,167,178,184,187,187,182,199,158,157,167,154,136,138,122,100,77,38,127,223,209,210,208,210,218,127,21,0,158,169,178,184,189,190,182,208,167,171,181,171,141,125,115,101,77,35,174,214,214,212,223,220,115,12,12,0,158,171,178,183,188,191,178,213,182,185,194,171,147,119,113,99,74,39,193,215,214,218,161,66,4,13,25,0,159,172,180,185,188,195,180,208,204,205,203,173,151,123,111,100,69,42,199,212,224,161,27,2,0,0,24,6
10,114,115,115,117,117,118,120,119,119,120,120,119,118,118,117,116,115,114,112,112,108,119,109,71,105,102,101,99,118,119,120,121,122,122,123,124,123,124,123,123,122,122,121,120,119,117,116,116,109,130,120,48,99,106,102,101,124,124,125,126,127,127,128,128,129,129,127,126,127,127,126,125,123,121,120,121,114,134,122,50,93,113,105,105,128,130,130,131,132,132,132,133,133,132,132,131,132,131,130,129,127,126,124,124,118,137,112,44,92,118,109,108,132,134,134,135,136,135,136,136,137,137,137,138,137,135,134,133,132,131,128,128,123,141,116,48,92,122,113,113,136,137,138,140,140,140,140,140,142,142,140,142,142,141,139,138,136,134,132,132,127,149,122,53,97,126,117,115,140,141,142,142,142,144,144,145,145,144,143,144,146,144,143,142,139,138,136,134,134,155,114,97,100,127,121,118,143,144,145,145,146,147,148,148,148,147,148,148,148,147,145,145,144,143,141,140,142,150,131,120,52,130,124,121,145,147,148,149,149,150,151,150,149,150,150,150,151,150,150,149,148,146,143,139,115,106,139,120,32,112,134,124,149,149,150,152,153,152,152,153,153,153,152,153,154,154,154,151,149,151,150,153,141,108,88,103,55,44,139,129,151,152,153,155,156,155,156,157,157,156,157,157,157,157,156,156,153,142,124,139,157,128,95,62,66,28,84,142,156,156,157,158,158,158,159,158,158,159,159,159,159,159,156,152,160,133,95,62,85,142,141,103,43,39,46,143,158,158,159,159,160,160,161,160,161,161,161,161,160,161,139,97,115,156,126,75,0,81,136,71,30,22,56,146,160,160,161,162,162,162,163,163,163,163,163,163,161,159,148,120,80,142,152,102,24,0,28,75,57,21,65,151,161,161,162,163,163,164,164,164,164,164,165,165,163,150,150,151,109,98,159,112,60,8,9,111,104,29,72,154,163,163,164,165,166,166,165,166,166,166,167,165,162,134,105,141,124,57,118,126,64,16,37,107,123,42,66,155,164,165,166,167,168,167,168,169,169,169,169,166,163,147,84,81,108,29,61,131,64,24,49,103,112,38,61,156,165,166,168,169,170,169,169,170,170,170,171,169,155,135,106,67,86,56,40,122,115,56,53,105,72,22,82,159,166,169,169,169,170,171,170,171,171,171,171,168,160,166,141,84,75,82,47,99,138,80,42,85,50,16,124,157,169,170,170,171,171,171,172,172,172,173,173,172,159,170,149,113,85,76,72,128,125,58,37,68,41,34,154,152,170,170,172,172,172,173,174,173,174,175,176,177,161,165,160,128,96,88,105,166,155,110,73,66,31,66,165,151,170,171,173,173,173,175,175,175,176,176,178,178,164,151,154,136,111,100,109,159,156,129,91,64,21,102,166,152,168,170,171,172,172,172,172,174,176,177,177,178,169,146,152,143,133,115,109,153,147,114,75,50,25,140,161,155,169,169,171,172,172,173,172,174,176,177,177,177,178,149,138,148,143,119,98,136,124,95,64,27,53,165,154,155,170,170,171,174,174,176,176,176,177,178,178,177,179,166,131,139,133,116,91,108,107,79,51,10,109,168,153,154,172,172,172,174,174,175,176,176,176,177,178,177,177,177,148,137,125,109,91,91,107,79,33,42,162,160,157,154,170,172,175,177,178,181,181,181,182,184,183,184,184,179,157,139,122,116,106,90,102,73,18,102,172,156,159,161,92,94,100,104,108,113,119,124,127,132,135,140,147,146,151,144,126,132,113,95,96,61,20,128,164,155,150,109
24,181,183,186,187,188,189,190,190,191,191,190,191,190,190,189,187,186,186,185,185,184,181,180,179,178,176,175,175,182,185,189,188,190,190,191,193,193,192,192,192,192,190,190,190,188,188,188,188,185,183,183,182,182,179,178,176,184,187,189,191,192,193,193,194,196,194,195,196,196,195,193,192,191,191,189,188,188,186,184,185,184,182,180,179,186,187,190,191,194,194,195,196,196,195,196,196,196,196,195,194,193,192,189,190,189,189,188,186,184,183,182,181,187,188,191,192,192,191,196,199,198,197,197,197,198,197,195,193,194,191,192,192,190,189,189,188,187,185,184,182,189,189,193,190,207,176,148,204,198,199,199,198,198,198,197,196,196,194,192,192,192,192,191,188,188,187,186,184,190,191,195,191,217,152,129,207,198,200,199,200,199,199,198,197,197,196,194,193,193,192,191,190,189,188,187,186,190,192,194,196,213,127,146,208,198,201,201,202,203,200,198,197,197,196,195,195,195,193,192,191,190,190,188,187,192,194,195,203,210,125,157,210,201,203,201,199,195,203,201,198,199,198,197,197,196,195,193,191,190,191,189,189,194,195,197,207,209,122,162,218,202,202,210,207,171,139,200,203,198,199,198,198,199,198,199,196,191,191,191,190,196,197,197,209,194,143,167,181,207,165,165,210,190,137,118,201,203,200,201,198,188,173,164,188,197,193,193,192,195,200,199,213,206,212,205,172,225,171,121,197,202,150,79,143,211,201,197,176,133,116,99,134,203,195,195,192,196,201,200,212,211,235,206,197,225,188,117,190,196,138,80,103,203,199,191,145,102,104,134,167,199,196,195,193,199,202,202,214,205,242,212,210,232,182,99,146,156,110,61,75,178,200,171,120,99,179,203,200,197,197,196,195,200,206,202,218,237,239,202,213,241,168,106,47,105,145,115,126,174,175,134,102,163,213,200,200,200,198,197,196,200,206,204,224,231,218,180,165,203,137,88,84,185,205,189,177,173,141,101,130,209,203,205,203,202,200,198,196,201,203,210,221,194,198,169,124,119,123,173,226,221,199,183,161,150,131,102,193,208,205,206,204,204,202,199,198,203,203,215,237,206,190,175,155,116,226,244,227,217,196,166,146,131,116,150,215,205,207,205,204,204,201,200,200,204,202,223,244,218,192,173,185,232,252,230,224,210,182,152,128,124,117,201,213,208,207,206,205,205,203,201,202,205,203,234,249,223,208,209,239,253,243,233,217,195,165,131,126,106,148,220,210,211,208,207,207,206,204,203,202,206,203,239,250,229,218,235,253,251,238,229,204,175,142,127,116,115,207,214,212,212,210,208,207,206,207,205,204,208,204,239,255,234,220,241,249,233,212,205,182,150,131,117,111,194,220,214,214,213,212,210,209,208,208,206,203,207,204,232,255,237,217,229,232,222,194,180,159,133,121,115,194,223,215,216,214,213,213,211,211,209,207,207,205,208,208,223,240,222,217,233,235,222,195,178,148,121,96,182,227,218,219,217,215,215,215,213,211,210,210,207,206,208,211,216,223,215,225,231,222,217,187,164,136,91,125,226,220,221,219,219,216,216,215,214,212,211,211,207,206,209,211,214,230,240,230,224,211,213,183,154,120,80,178,229,221,222,220,220,218,216,216,214,214,212,209,209,208,209,211,213,244,242,214,222,210,198,175,151,107,93,210,226,223,222,223,222,219,217,217,215,215,213,212,211,207,206,209,211,252,240,203,229,203,186,175,144,111,96,213,225,221,221,222,220,219,216,215,215,214,213,212,210,208
7,178,180,182,183,184,184,186,186,187,187,187,187,186,187,186,186,186,185,186,184,183,183,182,181,180,179,179,178,180,182,183,184,185,185,187,187,188,188,188,188,187,188,187,186,187,185,185,186,185,184,182,182,181,181,180,180,181,182,184,185,187,188,189,189,190,191,190,189,189,190,190,188,187,187,187,187,185,185,184,183,182,182,181,181,182,183,185,186,188,189,191,190,191,191,190,191,192,191,190,189,188,189,187,187,187,186,184,184,184,183,182,182,183,185,187,188,189,191,193,193,192,193,192,192,193,192,191,190,190,189,189,188,187,187,186,185,185,184,184,182,185,187,190,190,192,193,193,194,194,194,194,193,192,193,192,192,191,190,190,189,187,188,187,186,186,185,184,183,187,188,191,191,193,195,197,200,198,197,197,198,198,198,198,196,195,195,194,195,193,190,189,188,187,186,185,184,187,189,192,193,194,193,181,175,184,188,182,174,175,175,181,180,178,175,179,170,170,184,187,189,189,188,186,186,189,191,193,193,192,180,154,135,136,147,157,149,142,134,146,161,160,148,158,137,157,190,166,188,190,188,187,186,190,192,191,189,181,172,165,156,132,119,135,140,143,131,135,151,149,146,143,139,148,169,154,188,193,190,188,187,188,185,179,174,175,179,180,162,120,108,120,130,124,105,114,110,115,122,118,116,122,126,160,193,180,189,190,188,181,177,177,177,171,163,172,148,102,112,122,137,135,124,110,120,146,160,152,137,148,149,176,211,152,176,195,189,179,176,174,169,160,156,159,153,120,98,103,118,124,134,129,119,147,163,156,146,145,143,135,149,148,190,193,191,179,171,166,163,162,161,160,163,140,99,79,79,89,108,112,110,121,120,122,117,122,132,143,163,192,197,193,192,173,167,163,160,159,158,159,152,128,99,79,89,148,129,126,133,144,155,163,174,191,199,202,203,197,195,194,194,167,161,156,154,149,148,146,139,120,93,86,78,174,218,203,207,210,210,208,205,202,200,198,198,198,197,195,194,163,159,155,154,153,152,149,146,130,95,83,82,102,212,206,206,205,204,203,201,201,201,200,199,198,198,196,194,163,161,156,156,152,153,156,156,133,96,86,87,84,199,211,206,207,206,205,203,203,203,202,200,199,199,197,196,167,169,165,156,150,141,145,143,123,102,96,91,75,171,217,206,206,205,206,205,204,204,203,201,201,199,198,197,169,168,166,155,148,139,133,127,111,104,105,97,81,105,216,209,208,207,207,206,205,204,204,203,202,200,199,197,163,159,151,139,132,126,119,114,105,101,106,95,74,124,217,209,209,208,207,205,205,204,203,203,202,200,199,198,150,146,131,115,105,102,105,88,86,95,97,115,162,198,212,208,208,207,206,205,205,204,204,203,203,201,199,198,115,125,116,100,117,154,194,168,139,146,175,206,218,211,210,210,209,208,207,206,205,205,204,203,203,202,199,198,56,66,61,128,214,212,212,217,217,216,217,213,209,211,212,211,211,209,208,208,207,206,204,204,203,202,200,200,41,40,44,190,213,207,210,209,210,211,211,212,213,211,211,211,211,209,209,209,207,206,205,205,203,203,200,198,49,35,116,216,205,209,209,211,213,213,212,213,213,211,211,211,211,209,209,208,206,205,205,204,204,204,204,204,55,44,193,212,208,211,212,214,215,214,215,215,215,214,213,213,212,212,212,212,210,208,209,210,203,199,190,179,57,50,183,198,194,196,198,198,198,199,198,198,197,198,196,195,194,193,193,192,191,190,180,148,114,101,86,73
15,99,102,105,108,85,77,79,81,71,39,83,90,38,0,37,52,53,57,61,65,70,81,89,93,98,102,105,108,100,103,106,107,84,80,80,85,66,44,87,91,29,4,41,52,54,57,61,66,71,82,89,93,99,103,105,108,101,104,108,106,83,83,82,88,58,52,89,87,21,9,45,51,54,58,62,66,71,83,90,93,99,103,106,109,103,105,108,104,82,81,81,91,51,60,91,85,13,12,46,51,54,59,62,66,73,83,88,94,99,102,107,110,104,107,109,103,101,94,85,85,52,67,91,78,2,13,48,51,55,58,63,67,74,85,89,95,101,104,107,110,103,108,110,105,98,99,97,93,87,83,86,73,35,35,52,52,54,57,63,66,75,86,91,96,101,104,107,110,105,108,112,99,82,79,69,81,86,87,90,93,94,85,82,78,73,69,66,66,77,89,91,97,102,104,108,111,106,109,113,97,86,82,64,62,69,64,73,95,89,89,88,90,97,97,82,71,70,75,92,97,102,105,109,112,106,110,113,96,89,89,93,76,46,68,58,78,81,78,74,79,97,109,99,81,75,52,70,100,102,106,108,112,107,110,112,94,89,89,96,72,46,98,92,45,53,75,64,82,105,107,99,92,89,66,49,88,105,107,109,112,109,112,113,92,90,90,98,65,51,97,101,26,5,46,70,113,105,108,110,108,101,83,62,57,103,107,110,112,109,112,113,92,93,89,101,66,60,97,98,16,3,51,84,123,84,106,115,119,116,91,68,49,72,111,110,113,110,113,109,93,94,100,93,81,85,82,83,23,53,104,95,71,75,108,116,123,114,90,71,61,47,93,114,113,111,115,108,92,98,103,86,91,102,99,80,66,80,81,73,45,67,130,111,100,101,91,80,65,49,57,113,113,111,116,106,92,100,90,68,79,100,102,80,69,78,76,77,82,93,95,78,80,91,92,78,63,57,42,83,119,111,116,105,95,100,99,79,64,89,90,70,74,83,80,85,93,94,77,61,66,80,80,70,61,57,48,48,106,112,116,104,99,100,101,95,47,92,70,58,70,76,78,84,93,86,69,59,59,67,68,69,67,60,55,44,59,113,117,103,101,101,105,85,49,108,58,39,48,60,63,76,85,84,69,60,61,64,64,69,71,64,59,52,43,114,117,103,102,101,108,79,73,76,46,38,25,66,75,57,72,73,66,64,66,66,66,68,69,63,59,54,48,114,115,102,103,101,105,102,66,44,40,31,5,106,112,53,67,68,64,67,73,74,72,71,66,64,61,56,51,114,115,102,105,101,111,96,48,33,55,24,0,79,113,73,69,92,85,90,91,83,75,70,64,62,64,61,52,116,113,101,106,104,109,64,38,60,102,19,5,43,84,94,59,68,93,90,88,82,73,66,62,61,63,64,59,117,112,101,109,105,116,52,72,114,103,10,10,50,53,68,55,42,73,85,77,75,68,64,63,64,66,65,63,117,112,104,111,109,118,48,94,119,99,5,13,52,56,53,56,57,69,96,75,66,66,63,66,71,70,64,61,117,110,107,112,112,116,44,98,122,93,0,17,54,54,55,57,61,60,85,105,81,59,59,60,65,70,70,64,116,109,109,113,113,110,44,106,122,82,0,21,55,53,54,56,59,63,63,100,117,90,71,58,60,70,78,68,116,109,112,114,117,103,49,112,125,72,0,27,56,53,53,55,59,62,67,79,112,91,77,84,83,86,81,74,117,112,114,114,120,95,50,116,126,61,0,30,56,51,53,55,59,62,67,78,85,81,92,100,92,95,93,89
20,72,75,80,90,108,124,132,139,147,154,159,163,169,175,166,169,177,178,179,179,179,179,179,178,177,177,176,174,72,76,81,92,111,127,136,143,152,159,164,168,175,187,156,149,166,176,183,183,183,183,182,181,180,180,179,178,74,77,83,95,115,130,139,147,157,164,170,175,183,199,160,145,151,155,185,189,188,187,187,186,185,184,184,183,75,78,84,98,118,133,142,151,162,169,175,180,188,204,164,150,160,133,175,193,193,192,192,191,190,189,188,187,75,79,84,100,120,136,144,154,165,173,179,185,192,205,163,143,168,126,157,196,198,198,197,196,194,194,193,191,76,79,85,102,123,138,147,157,168,176,182,188,195,208,172,138,168,135,143,196,203,203,202,200,199,199,197,196,76,80,87,105,125,140,149,159,171,179,185,191,198,212,177,134,170,149,136,194,208,207,206,205,204,204,202,201,77,80,88,106,127,142,151,162,174,182,189,195,202,214,174,130,168,156,131,189,212,211,210,209,209,208,207,206,78,81,89,108,128,144,153,164,176,185,192,198,205,219,179,131,170,170,134,185,214,215,214,213,213,212,211,209,78,81,90,110,131,146,155,166,178,187,194,198,202,212,171,125,165,178,137,179,217,218,217,217,216,216,214,213,78,82,91,111,133,148,157,169,181,190,198,200,191,195,151,113,156,174,134,171,219,221,220,220,220,219,217,216,78,81,92,113,135,149,159,171,183,192,207,220,206,191,159,118,142,159,125,161,219,224,223,222,222,220,214,204,78,81,93,116,137,151,161,173,185,191,206,228,219,179,158,139,129,124,106,148,217,225,223,217,206,186,154,121,78,81,94,117,139,153,162,176,193,193,188,192,204,176,133,131,137,116,92,127,205,207,181,149,120,94,71,61,77,81,96,119,140,154,163,179,209,218,193,157,169,188,141,106,127,136,108,104,140,119,86,67,58,57,58,56,75,79,95,120,141,154,164,180,203,205,198,162,143,183,177,114,112,145,141,106,76,56,49,48,49,47,55,55,73,78,95,120,142,155,165,181,192,164,157,161,155,167,174,124,108,138,155,131,83,52,44,41,48,45,47,52,72,77,95,121,143,156,166,183,199,171,134,127,149,147,128,111,105,120,150,146,109,67,48,40,42,45,43,46,75,79,97,121,142,155,165,182,202,179,131,113,122,128,126,136,142,144,155,145,121,79,44,45,39,40,41,41,96,99,106,118,131,139,147,160,188,180,145,129,131,144,160,181,199,196,172,134,113,76,32,41,44,38,38,37,106,107,108,109,113,116,119,123,162,196,174,145,141,163,185,212,226,210,172,127,100,67,24,30,46,43,39,34,108,109,111,112,113,114,116,117,147,201,191,161,148,171,191,220,228,205,166,125,96,66,25,20,39,45,42,37,110,111,112,113,114,116,117,118,136,196,204,179,154,175,190,213,219,194,158,124,96,66,32,16,30,43,44,40,110,110,111,112,113,114,116,118,128,182,208,190,162,176,183,197,208,190,155,122,94,62,39,17,20,39,42,40,109,109,110,111,112,114,115,117,121,157,199,195,172,178,171,176,194,189,153,117,90,54,42,24,14,31,40,37,109,109,110,111,112,113,114,116,118,133,178,199,183,179,162,156,177,178,144,109,80,43,41,33,14,20,36,34,108,109,110,111,112,113,114,115,116,120,149,191,190,177,157,141,153,158,133,104,63,23,34,40,23,14,28,35,108,108,110,110,111,112,113,114,115,117,130,180,192,174,153,136,135,143,129,102,46,9,26,42,30,15,20,33
13,143,144,147,150,152,155,157,158,161,162,163,164,165,165,166,166,165,168,169,167,167,167,166,167,168,168,168,168,144,146,149,151,153,156,158,160,162,163,164,166,166,166,167,166,166,164,162,170,168,169,168,169,169,170,170,170,145,147,150,152,154,157,159,161,163,163,165,168,167,166,169,168,171,151,110,120,175,170,170,169,169,170,171,171,147,149,151,154,156,159,160,162,164,164,166,167,167,168,168,176,184,152,106,77,176,166,173,174,170,171,172,172,148,150,152,155,157,160,163,164,165,165,168,166,172,151,126,143,181,148,104,73,123,112,113,154,178,173,174,173,149,151,153,156,159,161,163,165,167,168,169,174,196,149,113,103,173,141,107,55,110,126,79,86,180,174,175,173,149,152,154,157,160,163,164,166,169,169,167,166,183,170,129,108,165,133,90,74,159,138,84,65,162,179,174,175,150,153,156,158,162,164,166,168,167,169,170,125,98,141,142,98,161,154,77,111,171,128,86,66,165,180,176,178,152,154,157,159,162,165,167,168,169,182,168,130,96,92,140,88,176,167,89,127,164,121,82,70,174,179,178,178,153,155,159,162,164,166,167,168,179,169,170,145,111,80,128,99,107,123,66,126,186,137,73,79,183,179,180,180,153,157,160,163,164,167,168,172,178,140,164,148,109,71,106,118,44,24,61,136,166,116,52,99,188,178,181,182,153,157,160,163,164,167,168,177,177,143,138,143,110,65,89,115,69,11,74,149,131,88,58,139,191,179,181,181,155,157,159,163,166,168,171,182,173,142,123,151,103,71,78,104,73,54,118,148,146,137,106,102,188,182,182,182,156,157,160,163,166,168,170,186,174,147,116,143,101,71,71,120,88,110,180,149,132,119,103,70,155,191,181,183,157,158,160,164,167,169,170,186,171,145,112,128,110,83,74,147,114,149,173,158,133,104,88,71,161,191,182,183,156,158,161,164,168,170,173,186,173,155,135,112,109,99,57,138,156,181,169,149,127,97,81,81,180,186,185,184,157,160,163,165,168,169,175,188,174,158,144,124,97,84,95,174,180,184,165,141,118,92,74,95,190,186,188,187,157,160,162,164,167,169,174,185,174,158,147,142,116,109,123,175,181,178,153,127,106,87,70,135,194,185,187,186,156,159,162,165,167,170,171,178,174,164,152,148,125,110,109,168,183,167,137,114,97,79,87,183,186,185,186,186,156,160,162,165,168,170,172,173,172,166,153,150,133,112,115,163,179,153,129,105,90,67,125,193,183,185,186,186,158,160,163,166,168,171,172,173,175,169,153,148,135,115,118,152,163,137,119,98,84,69,160,188,185,186,186,187,159,161,163,167,168,169,171,174,176,168,152,145,130,109,119,146,136,123,106,90,76,99,188,184,187,186,187,187,159,161,163,166,169,170,172,174,176,158,144,135,114,103,126,135,117,114,95,85,70,155,191,184,187,187,187,188,159,160,163,165,169,172,169,173,177,150,143,126,111,113,130,130,115,107,94,73,115,189,185,186,187,187,188,188,162,165,167,169,173,177,168,181,178,154,148,126,115,126,138,119,111,92,81,81,171,189,184,185,186,186,187,187,128,133,139,145,148,149,156,185,179,159,158,128,122,136,128,108,99,84,65,131,195,188,190,191,193,193,193,192,84,87,88,89,91,82,127,181,164,158,157,130,125,133,122,99,85,76,70,106,124,125,130,130,133,140,142,151,94,96,95,93,95,83,135,179,154,146,143,125,119,131,121,87,81,71,75,89,89,90,90,97,113,126,126,138
7,128,127,127,128,127,127,127,125,124,121,122,122,120,119,118,118,117,115,114,113,111,110,109,107,106,104,103,102,130,130,129,129,127,127,127,127,126,124,124,124,121,121,121,121,119,117,115,114,113,112,112,109,109,106,105,104,133,132,131,131,129,128,128,128,128,128,126,125,124,125,123,121,121,119,118,118,116,114,113,111,111,109,106,106,134,134,133,134,133,132,131,131,130,129,128,127,127,127,125,124,123,121,120,120,118,116,114,113,112,110,109,107,136,136,135,135,134,133,133,133,131,131,130,128,129,129,128,125,124,122,121,121,120,118,117,116,114,113,110,109,138,138,136,136,136,135,135,134,133,133,131,130,129,129,130,126,127,126,123,122,121,120,119,117,114,114,112,111,139,139,138,138,137,137,137,137,135,134,134,132,131,130,131,130,129,128,126,124,122,121,121,119,117,115,114,112,142,142,140,140,140,139,138,137,135,134,138,139,137,134,133,131,130,129,128,127,125,124,122,120,120,117,115,114,143,143,142,141,141,141,137,146,127,97,121,109,122,132,137,138,137,131,128,127,127,125,123,121,121,120,117,116,143,143,144,143,142,140,140,162,136,145,132,62,46,64,88,101,114,132,137,132,128,126,125,123,123,122,119,117,145,144,145,145,145,141,152,154,149,163,131,79,63,48,44,55,56,66,93,120,128,130,129,127,124,122,121,119,146,145,146,146,145,144,156,149,156,153,130,124,128,84,40,40,47,47,44,45,61,75,95,116,129,123,122,121,148,148,147,148,144,149,158,158,162,148,140,146,133,103,70,43,43,44,37,41,42,44,41,75,130,126,124,122,149,149,149,150,147,154,157,162,158,147,144,142,126,118,105,73,40,43,36,37,46,46,44,39,59,86,122,123,149,148,149,147,150,159,163,156,148,144,136,131,132,133,115,84,49,38,45,41,52,45,39,34,31,43,115,126,151,150,151,147,151,160,165,156,147,140,123,126,136,133,113,79,55,46,32,60,129,115,99,88,85,102,127,125,152,151,152,144,155,162,162,148,142,138,128,128,134,118,95,71,52,50,42,55,139,140,139,138,136,134,127,126,153,152,152,142,162,167,158,138,139,140,131,126,117,89,81,69,49,54,60,49,119,140,133,133,132,130,129,127,154,154,145,144,169,163,152,139,138,133,124,118,92,82,82,66,57,53,51,84,137,138,135,135,133,131,129,128,154,157,137,151,168,157,145,146,135,127,120,103,87,90,76,64,37,29,80,134,141,138,138,136,133,131,130,129,156,152,133,162,161,149,144,142,124,121,111,96,97,88,66,60,59,111,145,143,139,139,139,137,133,131,129,128,159,138,140,164,155,145,144,133,125,116,104,99,91,77,55,105,150,149,144,142,142,141,138,136,134,133,131,128,155,129,153,156,151,145,136,132,119,104,103,93,80,59,78,149,148,145,145,144,144,141,140,138,136,134,133,130,142,138,154,148,149,147,127,115,101,97,94,80,63,70,138,152,147,146,145,145,143,142,141,140,137,134,133,131,134,149,148,147,149,134,107,96,88,82,76,62,79,140,154,149,148,148,147,144,143,143,142,139,137,135,133,132,133,149,153,158,129,109,96,82,72,64,55,68,145,155,150,151,150,148,147,145,144,144,142,140,137,136,134,132,138,140,157,144,104,110,88,67,59,54,62,128,158,151,152,151,150,148,147,147,145,144,142,140,139,137,135,133,138,138,145,129,109,116,87,59,51,62,138,159,155,154,152,150,150,149,148,148,145,144,143,141,140,137,136,134
10,74,76,80,83,91,105,115,123,126,129,134,139,143,146,155,146,149,157,156,156,157,157,157,155,156,155,153,151,75,77,81,83,93,107,117,124,127,131,136,141,144,148,182,131,122,161,156,156,158,158,157,156,156,155,154,152,75,78,81,85,95,109,118,125,128,132,138,144,145,155,181,138,105,159,159,159,160,160,158,158,157,157,155,154,77,79,82,86,96,110,120,127,130,134,140,145,149,156,181,155,100,152,164,161,162,161,160,158,159,158,157,155,77,80,83,86,97,111,123,129,131,136,142,147,152,154,182,175,110,144,168,163,163,163,162,162,162,160,158,157,78,80,85,87,99,114,123,130,132,138,144,149,154,154,191,183,118,134,172,163,164,165,164,164,163,162,160,158,79,81,86,88,101,115,125,131,134,140,146,152,157,155,190,181,126,125,173,166,167,167,166,166,165,164,162,161,79,82,86,88,102,116,128,133,135,142,148,153,158,156,193,189,126,110,174,168,169,169,168,167,166,166,164,163,79,82,86,89,103,119,129,134,137,142,149,156,159,158,196,196,137,96,170,171,170,170,170,169,168,168,166,165,80,82,86,90,106,118,130,138,141,150,177,128,144,164,189,178,138,87,159,176,172,172,172,171,170,169,168,168,80,84,87,92,103,135,164,128,100,137,164,89,109,173,181,162,127,79,143,181,173,174,173,172,172,171,170,170,81,84,87,93,103,150,162,96,75,86,121,90,58,140,173,142,134,83,136,184,174,176,175,174,173,173,171,171,81,85,87,93,108,128,129,97,87,78,110,97,62,63,109,114,141,101,117,186,176,176,176,176,174,173,173,172,81,85,87,94,110,124,135,137,132,121,123,103,87,62,64,81,112,107,90,177,179,178,178,177,176,176,175,173,82,85,88,94,111,125,138,144,153,158,113,118,103,96,74,66,87,93,74,161,186,180,179,178,178,177,176,175,83,85,88,95,111,126,139,142,167,154,88,103,140,124,108,82,72,80,66,152,190,181,182,181,180,179,177,176,81,84,88,96,113,127,142,147,160,166,135,79,109,149,129,113,87,70,61,133,193,182,183,182,181,180,178,176,82,86,86,95,115,125,157,161,130,176,146,93,95,188,144,129,110,69,54,93,191,184,184,184,183,182,180,179,83,86,87,95,115,125,169,187,127,133,137,97,142,208,159,137,119,78,56,80,189,187,186,185,185,184,183,181,83,85,87,97,115,128,158,187,146,97,143,129,147,208,156,131,120,89,59,79,191,189,188,188,186,185,184,182,83,85,87,97,117,132,143,164,156,106,144,170,150,193,166,134,114,93,65,77,190,189,189,189,187,186,185,184,83,85,87,99,117,132,142,155,157,107,144,211,131,166,170,146,111,88,70,75,189,191,190,190,189,187,186,184,82,84,86,99,117,133,145,147,168,139,161,147,87,138,170,137,108,85,70,82,193,191,191,190,189,189,186,185,83,86,86,98,118,134,147,148,161,190,165,100,107,156,156,128,101,81,68,96,199,191,193,191,190,189,187,186,81,84,85,99,118,134,144,149,151,178,188,167,146,162,138,116,95,84,67,113,202,190,192,192,190,190,188,187,79,82,84,98,117,133,144,146,153,169,183,170,134,136,126,105,96,92,70,124,202,190,192,192,190,189,188,187,78,80,83,98,118,132,145,148,157,78,152,175,122,139,142,139,124,106,68,138,202,192,193,191,190,190,189,187,78,79,81,96,116,132,142,156,108,7,141,190,165,160,146,157,137,105,60,141,204,192,194,192,190,190,190,187
3,74,17,43,66,85,94,104,113,120,125,130,133,136,138,140,143,144,146,148,150,137,152,156,158,160,161,161,162,68,15,47,69,86,95,105,114,121,126,130,134,137,139,140,144,146,148,150,158,112,136,157,159,160,161,162,164,59,17,51,72,88,97,106,116,122,127,131,135,137,139,142,145,148,149,153,166,115,122,158,160,160,162,163,164,49,20,54,75,89,99,108,118,123,128,134,137,139,141,143,145,149,151,156,164,109,123,159,160,161,162,164,165,40,24,56,77,90,100,110,119,123,129,134,137,139,143,145,147,150,152,162,163,109,130,160,162,163,164,165,167,29,30,59,80,92,101,112,120,125,131,135,137,141,144,148,150,141,145,168,148,107,130,161,164,165,166,167,168,21,36,62,82,94,103,113,122,127,132,136,140,143,136,158,176,148,118,159,128,100,134,164,165,166,167,168,169,16,41,65,85,95,104,114,123,128,132,136,161,174,147,130,153,158,116,132,123,90,146,165,167,168,168,169,170,13,46,68,87,96,106,116,124,129,133,143,156,166,171,135,115,157,134,144,119,89,157,167,168,169,170,171,171,15,50,70,89,98,108,118,124,129,151,183,161,121,132,140,103,145,143,148,115,87,158,166,168,169,171,172,173,18,54,73,90,99,108,119,126,130,160,169,157,133,110,139,125,85,84,142,124,105,123,167,169,171,172,173,174,22,57,76,90,100,109,120,125,129,167,148,112,138,130,117,136,84,79,129,153,141,98,152,170,172,173,174,175,27,59,79,92,101,110,121,126,131,173,136,88,94,91,98,100,97,101,110,156,144,99,152,172,173,174,175,176,31,62,80,92,103,111,121,125,133,171,140,124,108,85,96,100,115,112,120,164,143,97,163,173,174,175,176,176,35,64,82,93,104,112,122,127,142,177,154,126,102,88,103,118,131,120,135,176,144,102,171,174,175,176,178,179,41,66,84,94,104,113,121,126,144,178,145,112,93,95,110,132,138,141,161,176,136,108,173,174,175,176,179,179,47,68,84,95,105,114,122,127,147,174,143,116,99,101,116,142,149,174,175,169,127,108,174,175,176,177,178,180,51,70,86,96,105,115,123,127,147,179,153,122,106,104,119,148,170,188,172,150,121,112,175,176,178,179,179,180,54,71,87,97,106,115,123,128,145,181,159,133,111,112,122,160,189,188,169,132,103,127,175,177,178,179,180,180,57,72,88,98,106,116,123,129,143,183,166,140,117,117,129,173,188,182,165,126,89,140,175,176,178,180,180,180,60,74,88,98,107,116,123,129,138,177,164,143,130,123,136,181,187,175,157,119,84,154,176,176,178,181,181,181,62,76,88,98,107,117,123,128,134,165,164,151,144,134,141,175,180,167,149,111,86,166,176,178,179,181,181,181,64,78,89,98,107,117,122,128,134,154,167,160,151,144,137,161,167,154,136,106,100,175,178,178,179,180,181,181,64,79,90,99,108,119,124,128,135,150,171,165,154,141,132,146,155,143,133,95,127,177,177,178,179,180,182,182,65,80,90,99,108,119,124,129,135,153,181,165,150,133,127,138,142,139,128,94,158,176,178,179,180,181,182,183,66,81,91,99,109,119,124,129,135,160,185,164,151,134,131,140,135,136,113,109,173,176,178,179,180,181,182,182,67,82,91,100,109,118,123,129,135,171,185,171,157,138,142,147,133,126,98,138,174,176,178,179,180,181,182,182,67,82,91,100,109,118,123,130,135,177,186,182,154,140,148,147,128,109,89,157,174,177,179,179,180,181,182,182
8,186,185,187,187,187,187,187,186,186,185,184,161,164,183,182,181,181,181,179,177,176,176,175,173,172,171,169,167,186,186,187,188,188,188,188,188,187,188,186,142,134,186,184,184,183,183,180,179,177,177,176,175,173,172,171,168,187,188,189,190,189,189,190,191,189,194,181,121,130,186,185,186,185,184,182,181,180,179,177,177,175,173,171,170,189,190,190,192,192,191,192,192,190,199,173,107,145,189,187,186,186,185,184,183,181,180,179,178,177,174,172,172,190,191,192,194,195,193,193,193,192,207,172,111,158,190,189,188,187,186,185,183,182,182,181,179,178,176,174,174,192,193,193,194,195,194,194,194,194,210,158,109,166,191,189,188,188,187,186,184,183,183,182,181,178,177,176,175,193,195,195,194,194,196,196,195,197,207,152,115,173,193,187,157,174,190,188,186,184,184,183,182,180,179,178,175,194,196,196,196,196,196,197,196,201,209,165,144,176,195,196,153,134,160,173,185,185,185,184,183,181,180,179,175,195,196,196,196,197,197,197,195,204,204,177,162,181,190,199,185,149,129,120,138,182,178,183,184,182,180,179,177,196,197,197,198,198,199,199,197,206,200,187,173,197,192,182,197,180,171,138,91,121,122,126,175,185,182,181,179,197,198,198,199,200,201,201,199,212,189,181,186,199,185,154,166,182,170,143,89,63,73,70,125,187,184,183,180,198,199,200,200,202,203,202,205,201,175,177,173,188,168,134,101,168,179,149,98,59,64,66,96,184,185,183,181,199,201,202,202,203,203,203,216,191,159,152,157,181,148,112,68,136,195,157,105,63,73,67,117,187,185,183,182,200,201,202,203,203,203,210,224,200,167,133,134,168,134,98,82,138,203,163,110,62,59,78,167,189,185,184,184,201,202,203,205,204,204,225,222,197,167,140,131,172,169,165,182,177,183,153,113,67,57,144,189,187,186,185,183,202,203,204,205,205,209,230,213,192,171,151,130,154,206,204,187,186,152,139,116,71,122,190,192,189,188,187,185,203,205,205,205,206,216,229,207,194,168,139,141,189,211,192,169,183,135,124,110,73,169,195,193,190,189,188,187,203,205,206,207,207,224,227,206,194,161,145,183,214,203,183,159,168,130,102,86,87,190,195,194,192,189,188,187,205,206,207,208,209,227,226,210,193,161,175,202,211,192,173,149,149,123,86,65,131,199,196,195,193,191,189,188,207,207,208,202,198,225,222,207,186,165,176,196,192,176,157,139,135,102,70,66,174,200,197,195,194,193,191,189,207,208,210,148,101,175,206,192,171,161,168,179,178,162,144,131,111,80,55,103,197,200,198,196,195,193,191,189,207,210,180,91,71,82,142,173,164,162,161,172,173,149,129,107,81,62,63,167,201,200,199,196,195,194,192,190,209,205,119,71,70,68,74,120,156,163,153,166,160,128,105,82,67,55,129,201,201,201,199,196,196,194,193,191,212,156,80,70,66,65,63,46,74,97,114,145,134,96,77,66,57,108,196,203,202,201,199,197,196,195,193,191,179,93,70,67,63,61,66,43,33,45,50,69,78,66,54,55,120,193,204,202,202,201,199,198,196,195,193,191,102,71,67,65,59,58,64,46,20,39,38,32,31,33,32,124,202,204,202,201,201,201,199,197,195,194,193,190,68,61,59,62,58,53,62,40,14,33,33,26,25,22,22,74,165,205,203,202,201,201,199,196,195,194,192,189,69,56,45,81,71,47,58,26,14,28,28,23,22,22,20,10,106,207,204,203,202,201,200,197,196,195,193,190
1,17,40,41,47,53,71,90,104,108,115,121,125,129,138,138,142,142,143,146,146,147,149,150,150,150,150,151,149,26,41,43,48,55,74,95,107,112,120,127,128,142,163,97,139,149,149,149,150,150,150,151,151,151,151,151,150,33,41,45,50,56,78,98,111,117,125,133,133,155,175,75,96,107,141,159,156,155,156,156,154,153,153,152,152,40,42,47,51,58,81,103,115,121,125,165,133,121,182,77,86,100,96,171,160,163,163,162,161,158,157,156,156,43,43,48,52,61,85,105,117,124,128,182,138,89,175,77,79,119,65,163,169,168,168,167,166,164,163,162,161,43,44,50,54,65,90,110,120,128,132,182,148,79,155,82,74,121,56,147,181,173,174,173,171,170,169,168,166,45,45,51,54,68,94,114,123,131,136,186,149,64,142,104,80,131,70,131,189,177,179,180,178,175,175,173,173,46,46,51,55,73,99,117,125,139,154,159,155,63,107,97,75,137,78,117,197,182,184,184,183,181,181,180,178,47,47,53,56,76,103,122,124,157,157,134,156,65,89,100,59,129,83,109,200,188,190,189,187,186,186,185,182,49,49,54,57,78,106,126,124,182,151,114,153,64,105,116,62,152,112,106,201,192,192,192,192,191,190,188,188,49,51,56,59,82,109,129,130,187,133,101,172,79,95,113,64,151,129,98,202,197,197,197,196,194,194,193,192,49,51,55,60,86,113,132,134,188,128,84,164,86,63,96,73,142,129,83,199,201,201,200,198,197,197,198,196,49,51,55,61,90,116,134,139,193,133,64,138,77,53,87,92,157,129,79,195,206,204,204,204,203,201,201,201,51,52,54,62,93,119,137,143,198,151,56,122,125,116,110,131,162,101,64,181,213,206,207,206,206,206,206,205,51,53,55,65,97,123,142,145,196,149,67,133,177,132,114,124,125,98,51,150,221,207,209,209,207,208,209,206,50,53,55,67,99,126,145,149,196,159,121,125,96,113,103,102,93,106,87,113,222,210,212,213,211,209,211,218,50,53,55,69,104,131,147,152,209,180,126,104,79,104,106,118,107,134,134,92,154,227,212,213,219,226,215,177,49,53,55,72,107,134,148,158,219,178,121,90,87,108,116,182,170,150,173,138,76,182,225,225,196,138,70,26,50,54,55,75,111,138,150,162,219,174,111,86,94,114,150,203,214,162,188,141,63,126,229,114,37,17,12,17,49,52,54,77,113,139,152,161,215,181,112,88,104,124,167,200,221,207,162,102,58,115,101,22,14,10,24,8,47,50,52,78,114,140,153,160,207,188,122,89,108,135,179,209,217,197,146,90,67,43,10,33,31,0,19,19,48,50,52,80,117,144,155,161,202,194,146,95,111,139,181,216,209,178,136,91,63,34,15,4,36,0,0,24,42,45,48,80,119,146,158,162,195,196,165,109,112,138,181,216,193,162,125,86,59,32,21,0,15,22,0,6,61,57,58,86,122,148,160,167,188,190,173,124,115,130,181,202,182,155,112,78,55,33,11,0,0,24,0,0,97,95,97,96,96,106,112,116,126,180,178,134,130,125,168,186,173,144,102,73,47,28,19,0,0,12,9,0,91,91,91,93,92,94,95,98,91,149,184,145,134,124,144,172,157,126,89,63,40,5,23,1,0,3,19,0,93,93,96,97,99,100,102,103,101,112,170,150,135,126,119,148,137,106,73,52,41,7,10,2,0,0,21,0,92,93,94,96,97,99,100,102,104,99,148,162,139,132,112,120,126,95,63,40,42,21,0,0,0,0,15,13
1,39,61,67,75,85,103,115,124,130,134,137,139,142,147,150,152,152,155,158,159,160,161,161,163,164,164,165,165,45,61,68,76,87,107,117,125,131,135,139,141,144,148,150,162,138,124,159,160,161,163,164,165,165,165,165,165,50,62,70,78,88,108,118,126,132,136,140,143,147,151,151,172,127,94,142,141,163,164,166,166,166,166,166,166,55,64,71,79,91,110,119,127,133,138,142,143,148,156,137,170,126,107,135,105,164,165,166,168,168,168,167,167,58,64,72,80,93,112,122,129,134,139,143,145,149,166,118,162,123,118,142,100,160,167,168,169,169,169,169,169,59,66,72,81,96,114,124,130,136,140,144,145,157,159,115,165,126,122,143,97,156,169,170,170,171,171,171,170,61,68,73,83,98,116,124,132,137,141,145,148,164,149,109,159,123,125,148,103,154,171,172,172,172,173,172,172,63,68,75,85,101,117,126,133,137,142,156,142,150,140,112,160,123,124,143,101,153,172,174,174,174,174,174,174,63,68,76,85,104,117,127,134,138,143,166,116,148,130,132,162,118,128,152,100,152,173,174,175,175,175,176,175,65,70,78,87,106,118,127,136,140,152,160,103,150,117,151,158,110,143,163,103,153,175,176,176,177,177,178,178,65,70,78,89,109,119,127,136,139,169,146,103,159,117,142,137,94,149,153,101,157,177,178,178,179,179,179,179,66,71,80,91,109,120,129,137,141,178,132,100,149,102,129,124,91,157,147,95,162,178,179,179,180,180,180,180,67,73,81,92,111,121,130,137,147,180,128,93,139,133,133,139,152,160,143,93,166,179,181,181,180,181,181,181,68,74,82,94,113,122,131,137,162,172,123,116,146,164,137,144,152,148,130,91,168,180,182,182,182,182,181,182,69,74,83,96,115,124,131,137,176,174,159,149,166,167,161,153,136,128,114,88,167,181,182,182,184,184,184,184,69,75,83,97,115,125,133,141,187,162,151,146,143,135,173,175,162,137,109,86,168,181,183,184,185,185,185,185,71,77,84,98,116,125,133,159,185,147,124,115,105,103,165,170,163,147,119,85,167,182,183,185,185,186,186,186,71,77,85,101,118,126,133,174,177,143,134,138,130,162,184,174,151,133,106,76,153,184,186,186,187,187,188,187,71,78,86,103,119,126,134,179,182,156,136,142,163,201,190,165,143,109,90,73,122,187,187,187,188,188,188,188,71,79,86,104,118,127,136,177,193,168,146,144,172,208,194,161,134,101,79,72,109,187,187,188,189,189,189,189,72,79,87,105,117,127,136,171,194,169,152,149,168,201,185,158,125,99,75,69,132,188,188,190,189,189,190,190,74,81,89,107,119,129,137,162,191,169,158,152,157,187,177,149,117,95,77,78,171,190,190,190,191,191,192,192,74,81,90,108,120,129,138,152,188,174,168,159,167,182,159,132,108,89,74,116,187,191,191,192,193,193,193,193,73,81,90,110,120,129,138,146,176,172,166,156,166,169,145,120,101,84,73,156,190,192,192,193,193,194,194,194,74,81,90,110,121,131,138,144,165,168,163,151,144,146,134,114,101,83,80,176,191,193,194,195,195,195,195,195,73,79,89,108,119,130,138,142,154,166,162,150,142,142,137,122,100,78,94,183,190,191,193,194,195,195,194,194,72,78,89,108,117,127,137,144,156,171,167,159,151,142,137,125,97,76,116,187,189,190,192,193,194,194,194,194,72,77,89,107,117,128,137,143,182,171,165,167,152,139,122,112,92,69,120,188,188,190,192,194,194,194,195,195
3,163,166,170,172,173,174,175,176,178,178,178,178,173,195,177,161,179,175,174,173,172,170,168,167,166,164,161,158,166,169,173,174,176,178,179,179,181,182,182,182,174,208,207,131,178,180,177,176,175,174,171,170,168,166,163,161,169,172,174,177,180,181,182,182,184,184,185,184,180,197,231,129,159,187,179,179,178,177,175,173,170,169,166,164,171,173,177,179,181,183,184,184,186,186,186,188,186,188,241,167,144,191,183,182,181,180,178,175,173,171,168,166,172,176,179,181,184,186,186,187,187,188,188,189,192,182,239,198,130,187,186,184,183,182,180,179,176,174,171,171,176,179,182,185,186,187,189,191,190,192,190,190,187,209,242,203,143,180,193,188,186,183,181,181,179,177,175,172,178,181,184,186,187,189,191,193,193,191,204,229,210,223,246,249,197,159,191,191,188,186,186,184,182,180,178,176,179,183,186,189,189,191,192,194,198,188,229,255,255,233,185,210,213,132,190,190,177,191,187,186,184,183,181,179,181,184,188,192,193,195,194,196,195,209,243,241,207,222,185,133,210,170,198,164,162,198,189,189,186,185,184,182,184,187,191,194,196,197,197,200,197,244,254,244,189,165,198,155,174,212,195,141,130,201,192,192,191,188,186,185,187,189,194,196,199,199,201,200,206,242,203,172,216,199,166,190,135,135,183,161,116,170,202,193,192,191,189,187,188,192,196,199,200,201,202,200,214,244,176,94,123,156,118,130,115,81,161,191,147,140,203,196,194,193,191,189,190,194,198,200,200,202,205,202,221,239,159,128,115,110,111,109,105,84,143,204,152,151,203,198,196,195,193,192,192,196,199,201,202,205,207,202,230,238,195,168,129,117,117,123,103,93,183,211,150,165,206,198,198,197,196,194,194,197,200,203,205,207,209,205,235,246,205,153,123,119,128,126,131,158,213,217,153,178,207,200,201,200,197,195,196,198,201,204,207,208,211,208,235,245,188,138,120,125,138,140,189,222,229,211,145,189,209,203,202,201,199,197,197,200,204,206,207,209,211,209,235,243,190,144,129,131,143,167,228,241,224,191,138,195,211,206,204,202,201,199,198,201,206,207,208,211,215,211,234,249,201,154,136,138,147,196,243,239,211,161,147,207,209,206,205,204,202,201,199,203,207,209,211,212,215,211,230,251,207,164,142,145,163,223,241,230,204,146,153,216,209,208,213,211,208,199,200,204,208,209,211,213,214,212,227,253,220,176,148,151,173,236,239,217,192,141,166,219,211,213,174,144,139,122,200,204,207,209,212,213,214,215,224,250,225,187,159,160,179,231,233,205,179,136,183,218,221,179,113,115,108,105,201,205,209,213,214,215,216,218,220,242,228,199,173,175,175,215,213,183,160,136,202,220,212,138,109,107,103,98,202,205,209,212,215,216,217,219,220,238,233,208,183,182,160,182,186,155,136,149,225,211,143,103,90,75,61,44,203,207,208,212,215,216,217,226,194,209,247,215,186,169,142,147,152,138,118,177,170,121,105,96,78,63,63,52,207,210,213,217,219,219,226,199,68,165,255,213,172,142,120,123,126,126,83,60,83,107,106,104,86,57,53,56,186,191,196,199,202,204,211,117,12,137,241,191,143,112,100,113,112,97,41,7,51,92,91,97,106,72,46,53,119,121,124,125,124,122,133,111,44,81,177,183,136,95,108,118,95,59,15,30,79,73,74,78,102,93,55,45,119,116,123,122,119,121,126,133,105,87,115,165,130,101,120,107,80,53,34,55,82,57,54,67,87,100,73,45
1,138,139,141,142,143,145,145,144,145,145,145,145,144,144,145,142,141,144,140,139,138,138,137,136,134,133,132,132,139,140,142,144,145,146,146,146,146,146,147,146,146,147,145,146,138,116,142,142,139,138,138,138,136,134,134,133,140,143,145,146,147,148,148,148,149,147,148,148,148,148,145,156,142,74,125,139,141,140,140,139,138,137,136,134,142,144,145,148,149,150,151,151,151,150,151,150,148,152,135,138,140,85,127,95,132,145,142,140,139,139,137,136,145,146,148,149,150,152,153,153,152,153,153,153,150,162,121,107,129,86,139,90,120,150,144,143,142,140,139,139,146,148,150,152,152,154,154,153,154,154,155,155,155,165,110,109,131,89,134,88,109,154,145,145,144,142,141,140,147,149,151,154,154,154,156,156,156,156,157,154,148,163,98,107,129,89,132,91,103,156,148,148,146,145,144,142,149,151,153,155,156,157,158,158,159,159,159,158,116,153,95,102,127,88,131,100,102,156,150,150,148,147,145,144,151,153,156,157,158,158,159,159,159,159,167,145,97,144,88,115,129,88,125,99,102,157,151,151,150,148,147,147,153,154,156,158,159,160,160,160,161,160,172,128,90,132,86,142,133,91,140,113,98,160,153,153,152,151,149,148,153,155,159,160,159,160,163,164,163,162,173,117,98,143,91,138,117,88,155,119,103,161,155,155,152,152,150,150,154,157,160,162,162,164,164,165,164,169,172,97,104,138,76,116,92,83,152,108,106,163,156,156,154,153,152,151,156,159,160,163,165,166,165,166,164,175,169,104,132,112,85,117,104,120,148,104,107,164,157,158,156,154,154,152,158,160,162,164,166,167,166,167,164,182,156,98,148,139,131,123,115,139,133,101,109,166,157,159,159,157,156,153,159,160,163,165,167,168,168,169,167,183,154,134,117,144,159,157,126,102,108,94,108,168,161,160,159,157,157,154,160,162,165,166,167,169,169,168,173,180,158,136,95,116,125,150,153,132,101,75,105,170,163,162,161,159,158,156,160,164,165,166,167,169,170,168,179,178,138,114,105,109,113,144,160,152,136,91,101,173,163,164,162,160,160,158,161,165,166,167,168,170,171,168,186,181,130,117,123,116,138,156,157,166,143,122,90,156,168,164,163,161,159,159,163,165,167,168,170,172,173,170,188,181,137,123,125,126,158,179,166,156,137,121,84,144,171,164,164,163,161,159,163,166,168,169,171,172,172,170,185,185,151,132,121,135,176,186,166,143,119,104,83,144,172,164,164,164,162,159,163,166,169,171,172,174,173,171,182,193,167,138,127,132,186,193,160,128,107,88,83,144,174,166,165,165,162,160,164,167,169,171,173,175,175,174,179,190,166,141,132,123,185,180,149,120,101,86,89,160,172,168,167,165,164,162,165,167,170,172,173,174,175,175,177,184,163,150,133,130,175,163,138,113,96,84,105,172,169,169,168,166,165,163,165,167,170,172,173,174,175,176,176,179,171,167,142,152,168,147,126,105,93,85,139,176,169,170,168,166,165,164,166,168,170,172,174,175,175,176,175,175,175,168,139,136,148,134,113,98,88,97,167,172,171,170,168,167,166,164,166,168,171,172,174,175,176,177,178,176,169,154,133,122,128,124,109,98,86,114,178,172,172,171,169,167,166,166,167,168,170,173,175,175,176,176,177,177,163,141,131,132,128,126,122,97,83,139,179,172,171,170,169,167,166,166,165,167,169,172,173,174,175,175,175,175,172,153,153,147,131,120,121,91,81,158,175,171,171,170,168,167,165,165
4,225,225,226,226,226,227,227,227,227,226,226,227,226,226,226,224,223,219,220,220,219,218,216,215,213,212,212,210,228,228,230,230,229,230,230,229,230,229,228,229,232,228,227,227,227,229,225,222,221,219,219,218,216,215,214,212,233,233,233,233,233,233,233,233,233,233,232,230,227,234,233,222,190,178,223,229,228,227,221,221,221,219,217,216,236,235,234,236,235,235,234,234,234,234,233,214,183,185,232,226,188,135,164,227,182,194,227,223,222,221,219,218,238,238,237,238,238,237,237,237,237,236,242,245,213,174,160,219,211,164,116,182,173,120,180,236,221,224,222,221,239,239,240,241,241,241,239,241,239,231,226,231,241,211,153,152,218,187,119,152,187,126,114,234,226,227,225,223,242,242,242,242,242,243,243,245,233,219,216,161,188,210,135,112,214,186,119,128,189,146,99,227,230,227,226,225,244,244,245,245,245,244,245,244,238,233,222,160,132,185,125,103,189,149,93,154,196,154,115,236,233,231,229,229,245,245,246,245,246,247,246,247,228,176,211,181,124,159,166,102,148,131,77,163,162,108,136,248,232,234,233,231,248,247,248,248,249,248,248,247,245,176,157,213,163,136,200,112,120,154,149,154,112,64,164,252,234,236,235,233,249,249,248,249,250,248,247,250,231,154,122,199,168,189,198,172,176,174,209,171,98,69,212,245,237,239,236,235,250,250,250,250,250,250,249,252,231,199,194,158,97,211,198,184,196,179,193,159,108,99,244,242,241,241,238,236,251,251,251,251,252,252,251,251,245,226,179,132,90,128,168,153,158,153,146,144,132,96,209,253,241,241,240,238,252,252,252,252,253,252,251,249,247,211,160,117,105,102,125,139,139,132,121,159,151,116,119,250,244,242,242,241,253,253,254,253,253,255,252,249,237,189,145,113,110,134,140,177,189,183,159,168,170,158,94,184,255,240,243,242,255,255,255,255,255,255,253,246,237,203,161,123,125,134,165,214,213,232,215,183,218,185,117,114,254,244,244,242,255,255,255,255,255,255,255,243,238,207,164,119,120,146,189,228,229,243,248,224,203,184,114,107,253,247,246,244,255,255,255,255,255,255,255,235,236,220,174,130,128,149,193,237,239,249,236,217,191,150,90,150,255,246,247,245,255,255,255,255,255,255,255,230,235,230,183,147,140,143,205,245,251,249,226,201,177,129,80,214,255,248,248,246,255,255,255,255,255,255,255,230,227,231,195,156,142,150,213,252,251,239,215,189,167,106,107,255,251,250,249,248,255,255,255,255,255,255,255,235,211,219,196,160,144,157,225,249,236,226,202,171,149,86,171,255,248,251,250,249,255,255,255,255,255,255,255,252,206,219,204,165,156,164,231,236,224,212,185,154,123,86,237,255,253,252,250,250,255,255,255,255,255,255,255,255,222,217,210,182,179,160,226,224,220,194,166,141,88,138,255,252,254,252,250,249,255,255,255,255,255,255,255,255,241,211,211,198,180,149,203,212,208,178,142,113,78,228,255,250,251,251,249,249,255,255,255,255,255,255,255,255,251,218,207,190,173,151,178,189,175,144,115,71,160,255,252,254,252,252,251,249,255,255,255,255,255,255,255,255,253,226,211,188,168,153,164,176,148,116,85,91,253,255,255,255,253,252,251,249,255,255,255,255,255,255,255,255,240,229,213,193,177,168,161,169,152,113,68,171,255,255,255,255,253,252,251,252,255,255,255,255,255,255,255,255,222,227,217,207,204,186,170,160,142,102,80,225,255,255,255,255,255,252,252,242
0,186,187,189,190,192,194,194,195,195,196,198,198,198,198,198,198,198,199,199,198,197,195,195,195,194,195,194,194,186,188,189,192,193,194,196,196,197,198,199,199,199,199,199,199,199,199,199,199,198,196,197,197,195,195,195,194,188,189,192,193,193,195,197,198,198,200,201,201,200,200,200,201,198,199,199,200,200,198,197,197,197,195,196,195,188,189,191,193,193,194,197,198,199,200,200,201,201,203,201,201,202,202,199,201,200,199,198,198,196,195,198,197,188,191,192,193,194,196,199,198,201,205,202,200,194,186,201,200,185,187,201,199,199,199,201,198,198,197,198,198,188,191,193,194,195,198,199,199,198,178,189,215,186,147,149,203,172,126,168,215,201,185,168,205,199,199,199,199,190,192,194,194,196,198,197,203,204,173,139,202,203,161,120,204,178,134,118,169,177,196,136,186,206,198,200,200,191,193,195,195,197,199,196,217,217,200,145,142,210,155,126,207,176,139,94,132,153,200,172,143,188,205,199,200,192,193,195,196,200,198,207,210,206,206,154,108,193,161,133,210,179,121,121,169,132,192,194,169,142,177,205,200,193,195,196,198,200,197,218,192,187,197,131,112,190,151,139,203,163,102,136,172,107,177,215,189,147,112,204,201,193,196,198,199,197,198,223,198,188,179,110,128,185,131,131,182,149,96,135,168,115,206,222,184,132,109,203,201,194,196,198,200,198,212,217,188,182,174,121,130,167,120,116,163,139,86,139,156,151,210,195,167,100,152,213,201,195,198,199,200,198,225,219,181,147,157,121,116,167,121,106,169,121,106,174,165,179,182,160,131,98,197,207,205,195,198,199,201,199,226,217,194,166,123,82,124,192,128,111,187,171,187,177,166,145,159,138,96,137,214,204,206,196,198,199,200,203,227,208,194,181,158,115,112,142,110,117,208,205,187,168,159,125,126,126,85,176,213,204,204,196,198,200,199,209,231,210,194,182,172,139,107,122,147,202,215,202,179,161,148,118,109,106,92,203,209,205,205,197,198,201,199,214,232,215,196,184,180,153,126,131,186,221,211,194,170,151,134,108,104,80,147,217,206,205,207,199,199,201,199,213,231,219,200,185,181,161,131,136,199,222,205,188,163,142,118,102,85,105,211,207,207,206,205,198,199,201,202,208,230,220,204,190,177,161,131,163,204,211,196,184,155,129,107,94,81,185,214,208,209,206,206,197,200,202,203,207,230,218,207,194,175,158,147,188,200,188,188,175,144,113,99,74,156,219,209,209,209,209,209,199,200,204,200,210,231,221,217,195,174,166,172,198,178,174,175,159,129,106,77,123,218,210,211,211,211,210,211,199,201,203,197,222,230,223,223,199,181,171,180,190,162,170,161,140,115,88,94,209,214,212,212,212,211,210,211,200,201,200,203,229,218,220,217,188,177,177,177,164,161,162,149,128,99,86,188,218,211,211,212,212,211,210,210,199,201,196,212,211,196,208,201,175,174,175,164,157,155,141,133,105,81,172,218,210,213,211,211,211,210,209,209,199,197,195,218,198,178,179,177,167,167,168,155,146,143,128,110,86,156,213,211,213,213,212,211,210,210,209,209,202,187,207,216,182,171,164,156,155,175,166,132,138,137,112,81,154,214,211,214,214,213,213,212,212,210,210,211,194,187,225,208,168,155,161,141,149,176,147,120,139,126,85,132,212,213,213,214,213,213,213,212,212,211,211,211,182,209,222,204,165,143,150,134,151,163,134,122,130,98,97,199,213,213,215,214,213,213,213,213,213,212,213,211
19,187,191,195,200,204,208,211,214,217,219,221,224,224,225,225,226,228,227,226,226,226,223,223,224,223,221,222,222,188,194,197,202,205,210,213,215,218,220,222,224,225,226,227,229,229,227,226,226,227,226,226,225,224,223,223,223,189,194,200,204,208,212,214,217,219,221,225,226,226,227,229,229,230,230,229,228,228,228,227,227,227,227,226,224,189,195,201,206,210,213,215,218,220,222,225,226,228,231,230,229,230,230,231,230,230,229,228,228,227,227,228,226,192,196,201,206,211,214,216,219,221,224,226,228,230,229,232,234,231,231,234,233,231,230,230,229,229,228,228,227,192,196,201,207,212,216,219,221,222,226,227,227,237,225,172,214,237,232,234,234,232,232,231,231,231,229,228,227,193,198,203,209,214,218,220,222,225,227,229,226,249,234,149,148,241,233,235,234,233,234,234,232,231,230,229,228,195,199,205,210,215,218,221,225,226,227,231,228,255,242,167,120,226,239,236,234,233,235,236,234,233,232,231,230,196,200,207,212,216,220,221,223,229,232,233,228,250,227,168,110,205,245,236,236,236,238,235,231,230,234,232,231,197,200,207,212,217,219,227,230,193,177,198,211,198,187,172,155,170,192,200,191,188,200,177,211,235,215,235,233,197,201,207,213,219,218,240,223,176,173,179,189,197,191,186,176,167,179,204,187,183,191,178,237,245,174,236,234,198,203,210,216,217,230,241,226,192,142,138,142,173,177,179,162,158,162,171,170,167,164,165,184,181,192,241,233,199,205,210,216,219,243,254,236,186,123,112,123,125,125,130,121,119,135,149,153,153,161,170,186,215,239,235,236,199,205,211,214,239,252,255,216,171,136,119,130,134,127,92,135,218,234,238,237,241,247,246,246,245,237,236,236,200,208,209,231,255,254,255,233,182,131,116,116,141,141,116,108,212,255,243,245,244,243,242,240,241,240,238,237,202,206,216,254,255,255,255,245,182,125,112,105,122,146,135,110,99,237,248,244,246,246,244,243,243,242,241,240,204,204,241,255,255,255,255,242,183,129,112,122,118,111,113,129,95,211,255,245,247,248,246,245,243,242,242,241,198,222,255,255,255,255,255,241,195,137,110,106,133,126,101,89,115,245,250,248,248,248,248,247,245,243,243,242,204,251,255,255,255,255,255,252,214,139,113,99,118,132,123,80,181,255,245,249,249,249,248,247,246,245,243,242,243,255,255,255,252,252,255,243,192,143,123,115,110,105,123,96,225,255,249,249,249,250,249,248,247,245,244,243,255,251,255,250,239,238,236,213,169,154,146,132,124,106,88,122,250,252,250,251,250,250,250,249,248,247,245,244,252,249,247,239,236,232,220,205,182,159,144,141,132,119,84,203,255,250,251,253,252,252,251,250,249,248,247,245,245,241,243,236,234,233,221,202,205,181,138,128,135,126,95,223,255,252,252,252,252,252,252,250,249,249,249,248,239,241,241,228,229,228,212,191,193,166,105,102,133,109,150,255,252,254,253,252,252,252,252,251,249,249,249,247,239,245,228,217,215,210,190,164,147,122,82,96,121,114,232,255,252,252,251,251,251,252,252,251,250,248,248,246,240,239,217,193,190,189,160,129,121,108,102,119,150,222,255,249,251,252,252,252,251,252,251,250,250,249,248,248,227,223,209,177,152,152,137,116,110,212,228,234,254,255,250,252,252,253,254,253,252,251,252,250,250,250,249,248,200,210,204,163,115,94,94,73,167,255,250,252,250,251,252,253,255,255,255,254,254,252,252,251,251,250,249,248
6,138,141,145,147,151,154,156,159,160,162,164,164,165,167,168,169,170,169,170,170,170,171,171,170,169,170,168,168,139,143,146,149,152,154,156,159,161,162,165,165,167,168,169,170,170,170,171,171,171,171,171,171,171,171,170,169,139,142,145,149,152,155,157,159,161,163,165,166,167,168,169,171,170,171,172,172,172,172,171,172,171,171,170,169,140,143,147,150,154,156,160,161,162,163,165,167,169,170,170,171,171,172,173,173,172,173,174,172,171,171,171,171,140,145,148,152,154,157,159,161,163,164,166,168,169,171,171,171,173,175,175,174,174,174,174,173,174,172,173,173,141,144,149,152,155,158,160,162,164,164,166,169,171,172,171,172,175,174,175,175,175,176,177,177,176,174,173,173,142,146,149,153,155,157,160,162,164,163,165,165,167,169,166,167,168,173,172,166,166,156,154,164,171,175,175,174,143,147,151,151,157,170,174,162,164,171,175,177,181,184,171,175,175,189,186,173,169,152,138,158,161,145,177,174,142,143,145,165,185,191,183,161,146,155,177,183,184,182,170,166,176,172,169,168,159,146,137,146,139,131,179,174,138,152,176,192,189,186,181,169,130,106,127,133,136,138,139,137,131,126,130,130,127,127,134,141,146,169,177,174,169,193,192,182,182,189,192,172,130,91,82,76,78,100,111,121,143,162,167,169,171,174,177,177,178,177,175,175,194,187,182,185,191,190,171,133,117,97,90,91,81,91,154,182,180,178,178,179,179,178,177,176,176,175,176,176,191,187,188,186,186,175,161,138,110,94,88,98,101,91,97,123,177,179,177,178,178,178,178,177,178,177,176,176,191,190,188,186,186,186,192,166,111,95,81,82,100,104,102,74,104,180,178,178,179,179,178,178,177,178,177,176,186,187,186,184,186,195,191,150,111,99,101,96,89,90,102,100,69,116,185,178,180,179,178,177,177,178,176,175,184,184,182,180,189,196,165,131,113,106,104,106,104,80,78,84,86,89,180,180,180,178,178,177,178,178,177,176,176,176,173,174,181,183,160,129,104,95,103,112,121,100,87,78,74,117,179,175,176,175,174,174,174,174,173,174,177,178,175,173,179,180,171,134,101,79,77,90,124,121,104,88,81,103,114,111,109,109,107,108,106,105,104,104,180,181,182,180,187,186,169,124,99,103,99,94,86,96,105,98,96,85,80,82,83,83,82,79,79,79,77,77,178,177,174,174,185,177,156,121,106,110,108,104,97,88,84,90,92,89,90,90,91,91,90,88,87,88,87,85,170,163,157,163,170,158,144,125,115,113,112,102,94,88,90,95,95,94,92,89,88,88,88,89,88,86,85,84,156,151,146,155,155,140,125,116,106,100,107,104,102,99,95,96,95,95,91,91,90,88,88,89,88,88,88,87,141,138,131,127,123,111,100,94,91,83,86,92,97,98,94,91,93,92,90,90,88,88,88,89,88,87,86,87,118,110,100,95,94,95,97,95,95,96,94,92,95,94,94,93,93,93,91,92,89,89,89,88,88,86,87,82,87,92,94,94,96,97,97,97,96,96,97,96,96,95,94,94,91,92,91,92,89,88,89,88,88,87,80,101,92,96,97,96,96,96,95,96,96,95,95,93,94,94,93,91,90,91,91,90,89,88,89,88,90,80,90,177,96,97,96,98,97,96,96,95,95,95,95,94,94,94,93,92,92,91,91,90,90,90,89,92,90,78,163,181,96,96,97,96,95,95,95,94,94,94,93,95,94,94,93,92,91,90,90,91,90,90,89,96,81,138,191,155
15,144,155,163,171,177,178,182,188,193,197,201,206,210,213,216,219,221,224,227,228,229,230,231,233,233,234,236,235,146,156,165,172,179,181,183,190,195,199,203,208,210,213,218,221,224,227,228,228,230,232,232,234,235,235,238,237,147,158,167,175,182,184,185,191,198,201,205,209,213,215,219,223,226,228,229,230,231,233,234,234,235,236,237,239,148,160,167,176,181,183,186,194,199,202,207,212,214,218,221,224,227,230,231,232,233,235,237,236,237,239,239,240,150,161,170,177,182,182,187,195,200,204,209,213,215,219,222,225,229,231,233,234,236,237,238,238,240,242,241,241,151,162,172,179,184,185,190,196,203,207,211,214,217,221,224,228,229,233,234,235,236,238,240,241,242,242,243,244,152,163,173,180,182,187,191,198,203,209,212,216,219,224,225,228,231,234,235,237,239,241,242,244,244,244,244,245,153,164,173,185,241,219,203,201,203,210,214,218,222,227,227,231,235,236,238,240,241,242,244,245,245,245,245,247,154,167,171,198,255,228,215,213,207,218,217,216,214,219,227,234,236,238,240,241,241,243,244,246,247,248,248,249,156,167,176,184,215,214,206,200,200,223,221,217,209,196,208,219,225,233,239,241,245,249,248,248,250,250,251,250,157,167,178,186,189,192,190,183,189,205,208,209,208,210,217,209,212,217,228,229,220,230,247,253,249,251,252,252,159,170,180,187,192,195,199,205,207,208,204,196,194,206,211,204,200,197,219,230,219,205,196,233,255,251,253,255,160,172,181,187,193,196,200,208,214,218,222,219,216,212,205,194,185,195,217,227,236,204,196,182,224,255,254,255,160,172,182,189,195,197,202,208,213,219,223,227,232,234,233,224,216,229,227,221,228,220,206,213,180,216,255,255,163,174,184,190,197,199,203,209,214,220,224,229,232,238,236,247,255,251,220,180,226,226,203,226,207,170,221,255,164,174,185,192,197,198,203,210,216,221,227,230,252,225,202,219,249,243,202,146,219,226,208,225,223,199,161,223,164,177,186,193,199,199,204,211,218,223,226,237,255,222,190,225,255,255,200,178,202,213,220,221,214,198,173,156,167,178,186,195,200,201,206,213,218,225,229,236,235,199,193,234,255,248,194,188,190,188,204,210,188,188,180,166,167,179,189,197,200,203,207,213,219,226,230,232,242,241,204,226,253,225,200,199,201,198,204,206,177,171,179,176,167,179,189,197,198,202,208,214,221,226,231,232,246,255,251,173,156,159,175,205,212,209,215,211,186,178,179,177,168,180,191,197,200,203,210,216,222,227,233,236,239,255,255,192,112,85,77,99,159,208,210,207,194,194,183,169,169,180,192,199,201,203,211,217,223,228,234,236,238,255,255,186,133,124,98,69,73,169,197,189,179,163,143,126,169,181,192,199,201,203,211,218,224,230,235,239,237,255,255,162,169,171,156,121,95,104,144,132,118,103,99,90,170,182,193,199,201,203,211,220,225,231,235,241,237,255,255,174,205,201,189,184,152,112,105,101,100,95,96,94,170,182,193,200,202,205,211,218,226,230,234,240,238,255,255,183,197,214,197,172,131,108,106,104,105,98,98,94,170,182,193,199,200,203,210,219,225,230,234,238,240,249,255,190,193,255,237,158,117,101,105,105,103,98,98,96,171,183,193,199,201,205,212,221,226,231,235,240,241,251,255,167,211,255,248,150,108,102,104,104,101,98,99,99,172,184,194,200,202,207,213,220,226,232,236,241,242,253,225,193,255,255,255,154,119,110,109,101,98,100,100,100
11,146,149,151,153,155,155,155,156,156,156,154,153,151,152,151,150,148,147,144,144,143,142,139,138,136,136,134,131,149,151,153,155,155,158,157,158,157,156,157,155,154,154,156,153,151,150,148,147,145,144,142,140,138,137,135,132,149,153,156,156,158,160,159,159,159,160,158,156,155,155,141,152,155,152,150,149,146,145,144,143,140,139,137,135,153,155,157,159,161,160,160,161,161,162,160,160,157,173,110,98,162,152,152,153,149,147,147,145,143,140,139,137,154,156,159,162,163,162,162,162,163,162,163,161,160,177,116,67,160,154,154,154,152,150,149,148,145,142,139,138,156,158,161,162,163,164,163,165,165,165,163,162,163,172,114,72,156,157,154,155,154,152,150,148,146,145,143,140,159,160,163,163,165,167,167,167,167,167,165,164,163,187,129,77,153,161,156,156,155,154,153,150,148,145,143,142,159,163,163,165,168,169,169,169,168,167,167,166,167,194,139,74,147,165,157,157,156,155,153,151,149,146,144,143,161,164,165,168,169,169,170,170,170,169,169,165,173,187,124,67,148,165,159,159,158,156,154,152,150,149,147,145,162,164,168,169,169,170,170,170,170,170,173,170,179,178,121,63,154,166,160,160,159,159,157,154,151,150,147,146,163,167,170,171,171,171,173,176,178,171,143,129,185,173,123,72,160,165,163,163,161,161,159,156,153,151,146,146,167,169,171,171,174,179,175,154,148,166,122,61,136,151,97,74,170,166,163,163,163,161,159,157,156,153,150,147,168,170,173,173,162,149,177,127,64,100,138,77,46,73,49,83,180,168,166,164,163,162,160,157,156,154,152,148,168,172,174,183,154,72,124,142,62,83,141,76,29,44,33,118,181,167,168,166,165,165,163,161,156,155,154,151,172,172,180,191,169,93,85,154,68,82,123,64,31,43,32,128,180,169,169,165,162,154,144,150,162,158,153,152,174,172,197,202,173,102,58,127,61,64,108,55,28,32,23,126,183,169,169,157,154,134,112,101,107,153,155,151,172,181,200,179,160,108,38,87,54,77,118,71,22,28,28,134,180,168,182,162,127,95,71,66,36,113,165,152,173,182,210,180,159,99,34,105,61,95,169,97,33,40,43,113,170,173,157,97,38,49,88,107,95,141,162,155,175,186,215,195,145,79,54,146,104,96,205,94,31,61,92,123,163,155,97,29,74,162,175,172,171,164,157,155,173,189,215,184,134,134,80,163,177,49,106,74,69,110,101,118,126,91,33,94,182,173,167,165,161,161,160,156,174,188,210,183,154,138,78,129,121,49,120,152,133,116,87,89,76,28,91,187,173,171,170,167,165,162,161,159,177,186,204,192,171,141,147,158,163,151,145,136,121,106,82,60,29,69,181,176,174,173,170,168,166,164,163,160,177,182,198,188,168,142,130,143,165,152,137,126,104,98,70,24,83,177,180,176,175,173,170,169,167,166,163,161,192,192,193,185,156,119,108,130,139,130,126,104,97,81,29,102,191,181,179,178,177,174,170,169,168,167,163,161,53,120,185,163,133,102,126,135,130,118,105,91,61,38,120,194,180,179,179,177,177,174,172,170,168,166,163,161,4,21,148,164,156,154,140,125,120,95,67,27,72,160,192,182,182,180,178,177,176,174,172,170,167,164,162,160,30,23,35,113,153,147,125,110,99,70,22,66,198,192,183,184,183,181,179,178,176,175,172,170,170,166,163,162,19,22,15,22,67,88,96,87,65,35,12,158,195,184,186,185,184,182,181,179,176,176,173,171,170,165,164,152
7,184,186,189,191,193,193,195,196,196,197,196,196,196,196,195,195,195,193,193,192,190,189,189,187,185,185,184,183,186,188,190,193,195,197,198,197,197,197,197,197,196,196,196,196,195,193,194,193,192,191,190,188,187,186,185,184,187,189,192,195,196,198,199,199,200,200,199,199,198,198,197,197,197,196,195,193,193,193,191,189,189,188,187,185,189,190,193,195,197,199,200,201,201,201,201,201,200,200,200,199,197,197,197,196,195,194,193,191,191,189,188,187,190,193,195,197,199,199,200,201,201,201,201,201,201,200,201,201,200,199,198,197,196,195,195,193,192,190,190,189,191,195,197,198,199,200,201,202,202,202,202,203,202,202,201,201,202,201,200,199,197,195,194,194,193,193,192,189,193,195,197,201,201,201,203,204,204,204,204,203,204,203,203,202,200,197,192,186,171,181,193,181,195,194,193,191,195,196,198,201,202,204,205,207,206,207,205,199,194,187,180,178,179,171,163,160,145,177,194,157,189,193,194,193,196,197,200,201,203,205,202,193,185,186,184,176,163,149,142,154,169,164,152,144,135,142,155,142,186,192,178,193,197,199,200,203,204,197,185,166,159,156,153,158,154,148,133,129,133,125,129,134,131,131,142,153,197,195,142,189,198,201,201,201,199,189,175,162,158,149,140,143,151,146,127,121,117,140,159,172,156,151,147,149,155,154,146,193,198,199,197,191,182,177,174,171,156,123,117,136,156,153,139,134,126,141,156,158,143,131,120,117,127,156,188,199,196,192,186,182,178,176,169,169,153,111,108,119,127,125,121,124,115,114,125,117,113,118,143,172,190,200,200,200,190,186,183,182,180,169,161,161,157,133,101,84,74,76,83,93,96,105,125,148,173,192,204,204,203,202,201,200,187,184,181,176,170,163,161,161,163,150,112,77,58,82,132,147,163,181,202,209,209,207,206,205,203,202,202,201,185,179,172,166,161,157,155,153,151,134,109,81,71,89,177,215,214,213,212,209,209,208,207,206,205,204,203,201,180,172,164,157,151,147,142,139,136,125,99,75,74,76,87,184,217,213,212,210,210,208,209,207,206,205,205,203,163,167,158,153,143,140,137,133,132,126,99,70,70,85,72,116,216,215,214,212,212,210,209,208,207,206,206,205,81,132,155,153,146,140,137,137,138,134,101,69,64,79,79,111,215,217,215,214,213,212,211,209,207,207,207,205,43,58,122,155,151,144,135,129,125,114,93,75,68,59,61,130,219,218,217,215,214,213,212,210,209,208,207,206,40,37,55,127,153,146,135,123,111,99,87,81,76,62,57,90,207,219,217,216,215,214,212,211,210,209,208,207,37,36,32,65,129,130,121,110,102,88,82,81,79,69,67,99,209,219,218,217,216,215,214,212,211,210,208,207,34,31,31,34,74,100,97,89,78,58,60,74,75,94,149,186,220,218,217,217,216,215,215,214,213,211,209,208,28,27,29,30,23,41,87,121,57,45,55,70,95,182,225,222,222,220,219,217,218,216,215,214,213,212,209,209,20,23,28,31,14,51,174,182,64,59,74,120,190,224,224,223,221,221,220,217,218,217,215,215,214,213,211,209,23,21,32,30,63,181,224,217,162,156,185,216,225,224,223,223,221,221,221,218,217,217,216,215,215,213,212,209,45,31,28,64,190,221,222,223,224,224,225,223,222,222,222,222,222,221,220,217,217,216,216,215,214,213,211,208,34,27,23,123,222,220,222,222,223,223,223,223,222,222,222,222,222,222,221,218,217,216,215,215,213,213,211,209
13,156,160,164,166,168,169,171,173,175,177,177,177,178,179,179,180,180,180,179,179,178,176,175,174,173,173,171,170,157,161,165,167,169,171,172,175,176,178,179,179,179,180,180,181,181,181,181,181,181,178,177,176,175,175,173,171,157,161,166,169,170,171,173,176,179,179,181,182,182,183,183,182,182,183,182,183,181,179,179,179,177,176,175,174,158,162,166,169,171,173,175,178,180,180,182,184,184,183,179,159,157,182,177,159,160,179,181,181,179,178,177,176,159,163,168,171,172,174,176,179,180,181,183,185,185,185,173,142,114,142,153,128,98,140,183,182,181,179,179,177,160,164,168,172,173,174,177,180,181,183,184,186,186,190,190,156,130,93,131,130,100,90,182,184,182,181,180,178,161,165,170,172,174,176,179,181,183,184,185,186,188,189,197,163,131,86,108,129,102,74,176,185,183,182,181,179,162,166,170,173,174,177,180,183,184,186,187,187,188,190,185,162,123,88,82,110,90,67,172,185,184,183,183,182,162,166,170,174,176,178,181,184,185,187,188,188,184,190,175,162,122,94,72,102,85,66,174,187,186,185,184,182,162,168,172,175,176,179,182,184,187,189,189,177,138,128,127,151,146,110,81,115,98,73,180,188,187,186,184,182,163,168,172,175,177,180,182,185,187,189,192,169,125,105,97,141,167,127,87,106,98,65,157,189,188,187,185,184,163,168,172,176,178,181,183,185,187,184,171,162,134,122,93,93,151,116,78,88,81,71,100,186,189,188,187,186,164,169,174,177,179,182,185,186,187,170,123,117,148,133,108,56,61,55,71,84,84,92,84,148,191,189,187,186,164,169,174,178,180,181,184,189,197,158,120,99,140,138,116,81,34,47,62,87,110,111,98,95,189,190,189,187,163,169,174,178,180,182,184,197,178,153,132,119,106,138,121,99,49,62,100,113,125,117,101,75,178,191,190,188,165,170,174,179,180,182,186,199,159,143,137,119,99,119,119,92,57,66,131,149,143,108,95,75,179,192,190,189,166,170,175,180,181,183,186,197,163,124,119,108,95,77,94,71,58,83,144,151,144,111,83,85,190,193,191,189,165,171,176,180,183,183,187,189,172,143,110,90,68,44,76,82,76,119,162,149,138,106,75,111,195,194,192,189,166,172,176,180,182,184,187,189,184,160,129,101,82,76,86,96,107,167,168,143,124,101,68,145,195,195,193,190,167,172,177,181,182,186,187,187,184,170,145,129,106,109,120,140,164,177,159,135,113,93,67,173,195,195,193,192,166,172,178,181,182,186,187,188,180,165,147,126,108,113,128,173,175,165,146,125,104,83,75,192,197,195,194,192,166,172,177,181,182,185,188,190,170,155,146,128,113,117,122,163,169,157,134,113,95,74,97,198,198,197,195,193,166,172,177,182,184,186,189,193,175,157,146,132,124,120,120,158,164,152,127,100,84,62,142,199,199,197,195,193,167,173,178,182,183,186,188,193,189,159,148,139,127,115,114,143,152,139,110,86,71,72,188,199,199,196,195,193,167,173,179,181,183,185,188,192,194,179,153,139,124,114,108,127,139,126,99,80,60,132,199,200,198,197,195,194,167,173,179,182,183,186,189,192,194,194,168,142,123,112,111,118,131,123,97,79,65,180,200,200,198,197,195,193,167,172,178,181,183,184,188,191,193,192,178,152,135,129,130,127,129,124,93,76,96,197,200,198,198,196,195,193,165,171,176,180,181,183,187,189,192,186,184,160,149,145,138,133,129,116,88,72,130,199,200,198,196,195,194,192
15,158,151,134,140,110,105,148,54,54,87,85,88,90,93,96,106,118,128,136,139,142,148,152,155,158,160,163,166,164,152,136,144,105,118,147,45,61,88,86,88,92,94,98,109,120,130,138,140,144,151,154,158,161,163,166,169,169,150,138,148,98,131,142,38,69,89,87,88,92,94,99,111,122,132,140,142,146,152,157,160,163,166,168,171,172,152,143,150,95,145,131,34,76,89,88,89,92,95,100,113,125,134,141,144,149,154,159,162,165,168,170,172,173,152,148,149,95,157,119,35,82,89,88,91,95,95,101,115,127,137,143,145,151,157,162,165,168,171,173,175,172,151,152,144,96,165,105,35,86,87,87,89,91,92,103,117,128,139,144,147,152,158,163,168,171,173,176,178,173,151,155,137,100,173,92,42,94,91,96,102,109,106,103,119,131,142,150,151,157,165,171,172,173,176,179,181,171,155,162,138,123,142,122,117,116,115,123,125,121,112,105,107,113,122,134,142,147,148,153,171,184,180,181,185,165,159,157,126,124,125,120,117,106,109,109,105,102,105,114,112,111,111,111,117,125,121,112,111,136,180,192,187,166,157,138,115,114,110,109,105,103,106,106,106,105,112,120,120,115,112,108,114,128,126,119,107,89,102,158,196,166,157,160,112,118,114,94,97,99,105,107,106,107,117,120,117,114,109,110,122,120,119,119,112,105,93,86,120,164,158,167,103,156,153,42,79,94,90,93,94,99,107,119,124,120,110,117,119,121,119,120,111,107,109,101,86,163,165,165,100,167,140,33,82,93,89,91,93,94,97,112,140,164,138,126,121,118,119,116,116,107,117,114,99,164,168,161,100,177,127,33,87,92,89,90,94,95,100,114,164,159,139,117,119,111,104,107,116,108,126,124,108,167,169,156,106,183,113,33,91,91,89,91,94,97,95,140,170,136,126,85,87,92,73,92,129,118,134,126,111,170,173,148,110,186,99,38,95,90,89,91,94,93,106,171,148,126,114,85,59,61,44,97,153,140,136,114,108,172,175,140,119,189,85,42,97,90,90,91,95,88,152,183,135,117,100,73,56,53,42,116,160,153,138,109,102,172,178,132,127,189,73,49,99,90,90,91,95,90,161,176,146,117,93,56,52,50,55,131,160,166,147,113,99,175,183,125,140,185,61,55,100,90,90,92,95,90,126,182,165,134,100,58,49,78,76,111,158,166,143,113,101,177,187,118,153,185,52,63,100,90,89,91,94,95,102,173,185,155,110,65,44,78,101,122,157,145,124,112,94,178,187,113,165,180,45,70,99,89,89,90,93,95,100,146,198,166,130,105,91,97,140,148,136,114,103,106,92,181,185,108,178,169,38,75,97,88,87,88,90,91,106,125,185,183,170,162,155,161,150,117,103,97,95,95,92,184,181,109,188,157,34,81,94,87,87,87,89,91,106,124,178,168,140,135,143,156,139,100,89,93,83,95,100,185,174,110,197,142,33,87,94,86,85,86,89,93,101,158,177,133,131,130,139,158,139,96,86,84,112,90,82,187,166,116,204,127,27,88,89,83,82,84,88,92,100,174,158,131,125,125,129,145,137,104,84,164,194,84,73,189,158,121,205,117,48,98,94,86,84,84,84,88,101,150,149,130,128,118,110,124,125,100,86,198,203,90,78,191,151,133,194,156,129,128,131,127,124,120,121,123,124,129,138,141,163,164,111,91,148,116,112,183,189,95,83,192,143,142,191,162,113,111,117,117,117,118,122,122,122,116,118,121,122,173,156,100,123,125,120,129,127,94,85
0,164,164,166,166,166,167,167,167,167,167,166,167,167,166,166,167,166,165,165,164,165,165,163,162,162,162,162,161,166,167,167,168,168,168,168,167,167,167,167,168,168,168,168,168,166,166,167,167,166,166,164,163,162,164,163,163,167,169,170,170,170,171,170,170,169,170,170,169,169,169,169,168,167,167,166,166,165,164,153,165,164,164,164,164,170,172,171,171,171,172,172,172,171,171,170,169,170,170,155,143,158,162,147,138,159,162,115,160,165,165,165,165,171,172,171,172,172,173,173,173,173,172,162,150,163,179,159,128,106,152,142,123,111,141,123,129,165,166,166,166,171,172,172,173,174,174,174,172,172,186,165,139,136,179,161,139,102,149,146,136,105,92,146,112,138,162,168,167,172,173,173,175,174,174,176,157,150,188,169,154,135,179,163,146,98,153,149,134,106,67,135,133,115,115,166,167,172,174,174,175,175,180,189,167,136,163,181,158,127,186,166,144,89,156,147,118,106,52,99,147,131,89,149,168,174,175,176,176,176,187,188,178,158,127,186,158,120,182,167,138,87,131,133,100,94,43,108,158,143,99,135,169,175,176,176,177,179,182,178,181,160,112,168,157,118,157,163,126,86,85,106,92,82,45,135,164,146,103,125,171,174,175,176,176,179,172,143,159,137,97,134,143,110,116,134,105,83,58,84,95,79,64,145,162,141,101,116,172,175,176,177,178,179,180,148,150,116,83,107,122,98,82,108,92,76,54,112,141,130,123,142,150,134,97,111,173,176,178,179,180,183,189,166,151,116,94,90,108,94,66,94,107,109,141,162,157,146,137,125,129,126,100,102,174,178,180,180,180,187,187,166,141,123,107,77,113,112,66,103,159,175,177,170,156,144,131,116,108,113,101,98,174,179,180,180,180,194,199,183,163,141,115,92,113,115,123,171,186,183,175,165,152,139,125,107,100,100,95,112,174,181,180,182,182,196,203,190,169,149,141,139,141,159,179,188,185,179,169,160,147,132,115,100,95,95,91,150,177,181,182,183,182,200,208,192,173,157,152,152,162,175,183,188,184,171,166,152,138,126,107,96,95,91,131,175,178,181,182,184,184,202,211,198,183,171,162,163,173,182,185,184,176,167,161,143,129,116,101,95,91,107,173,179,179,181,182,183,183,200,212,205,189,175,166,165,175,184,183,177,165,157,151,135,120,108,99,94,90,156,180,180,180,182,183,184,185,194,212,210,197,179,165,160,165,171,168,167,155,141,138,122,110,103,96,90,139,179,181,181,181,184,184,185,187,188,206,205,193,178,163,158,163,165,167,164,150,133,128,112,102,97,97,140,178,181,182,183,182,185,185,186,187,186,195,194,181,170,156,158,162,157,164,159,145,134,124,106,93,99,154,181,183,182,183,183,182,185,186,187,187,187,191,182,178,173,165,172,166,146,159,157,140,126,114,97,86,154,183,184,183,183,183,184,183,186,187,187,188,188,191,189,193,184,177,173,166,139,151,154,134,118,104,81,121,183,185,186,186,185,184,184,183,186,187,187,187,188,192,202,201,189,171,168,162,135,148,143,128,113,95,80,162,187,186,187,186,185,185,185,185,186,187,188,188,189,186,209,200,187,162,163,159,137,141,133,125,110,88,88,179,187,187,187,186,185,186,186,185,187,187,188,188,189,182,204,195,180,158,164,163,135,128,129,120,107,87,98,186,188,189,188,187,187,187,186,185,186,187,187,187,189,184,203,187,173,157,164,161,127,132,127,117,104,86,101,186,188,188,188,188,187,187,187,186
10,109,114,118,122,125,129,132,135,138,140,140,142,143,143,144,144,145,146,146,145,145,146,145,145,147,146,146,146,113,117,120,125,129,133,135,139,141,144,144,146,147,147,147,147,149,148,149,149,148,148,148,147,149,148,147,147,116,120,125,128,132,136,139,142,145,147,149,149,150,150,152,152,152,154,154,152,152,152,151,151,152,152,152,150,118,123,128,132,135,139,143,147,149,150,152,153,154,154,155,154,157,146,149,158,156,156,154,155,155,155,155,155,121,127,131,134,139,142,146,150,153,155,155,156,157,157,158,154,169,143,98,164,157,158,157,158,158,159,159,157,125,129,133,138,141,145,149,152,156,157,157,158,160,161,160,159,167,173,96,131,168,160,161,163,162,162,162,160,126,132,136,140,143,147,151,155,158,159,161,161,162,164,164,166,164,180,138,97,168,164,164,164,165,164,163,164,128,133,139,142,147,150,154,157,160,161,162,164,164,165,164,156,161,185,185,107,144,172,165,167,167,167,165,165,131,136,141,145,149,153,157,160,162,163,164,166,167,166,177,127,90,182,203,139,104,178,168,171,170,170,170,168,133,137,142,147,151,157,159,161,164,165,167,168,170,167,182,162,80,113,208,167,86,160,175,172,173,173,172,172,134,139,144,150,154,157,160,163,166,167,170,171,172,171,175,206,166,109,146,184,93,134,182,172,174,175,175,174,136,141,145,151,155,158,162,165,166,169,172,173,171,182,170,167,212,135,62,159,112,106,188,173,177,177,177,176,138,142,147,152,157,160,163,166,168,171,172,173,176,187,161,84,146,157,78,71,90,82,190,176,179,179,179,178,138,142,148,152,157,161,164,168,171,173,174,173,202,182,135,50,40,156,119,44,39,47,165,185,180,179,180,180,138,144,150,153,158,162,165,169,172,174,175,172,204,173,81,10,0,111,135,84,34,28,113,194,180,182,180,181,141,145,150,155,159,164,167,171,174,172,185,187,166,200,161,60,0,99,146,130,70,32,82,192,182,183,181,181,142,147,150,156,161,164,169,172,175,173,191,209,181,160,205,138,45,145,171,151,90,31,65,189,186,186,185,183,143,148,153,156,160,166,170,172,174,176,174,180,207,145,146,196,112,150,176,142,98,33,58,191,187,188,187,186,142,146,151,155,159,164,168,171,173,175,176,147,165,135,86,155,103,157,187,138,93,43,55,189,188,188,187,186,142,148,152,156,160,163,166,172,173,172,186,188,150,134,96,103,199,206,183,141,81,42,61,188,187,187,185,185,142,147,150,156,161,165,167,171,173,172,184,206,172,134,123,167,221,200,176,125,73,45,69,192,187,187,185,185,143,147,150,156,161,164,167,171,173,176,175,200,183,170,157,183,212,183,156,111,68,59,60,189,188,187,186,186,143,148,153,157,160,164,168,171,173,175,176,191,190,185,178,169,207,168,144,110,93,82,60,185,188,187,188,188,139,144,151,158,164,168,172,176,179,181,184,188,195,194,190,150,184,163,152,126,118,86,71,193,190,190,190,190,67,71,77,83,88,92,97,104,108,112,112,133,198,196,183,154,153,157,166,144,111,67,78,179,177,181,182,185,58,60,60,60,58,55,55,57,59,59,61,60,162,182,163,153,142,149,181,150,99,63,57,72,76,79,83,86,65,65,67,67,67,72,73,72,70,71,74,61,109,176,149,152,151,153,168,144,94,58,66,72,69,70,69,67,61,62,64,64,64,66,67,72,70,68,68,66,78,167,164,154,161,152,149,148,94,56,74,82,79,83,82,84
12,169,169,171,173,174,175,177,177,178,178,178,178,178,177,177,176,175,175,174,174,173,172,172,171,170,169,168,168,170,171,173,174,175,177,178,178,179,179,180,179,179,178,178,178,177,176,175,175,174,174,173,172,171,171,170,170,171,172,174,176,177,178,179,180,180,181,181,181,181,181,180,180,179,178,177,177,176,176,175,174,173,173,172,171,173,174,176,178,179,180,181,182,182,182,182,183,182,182,181,181,180,180,180,179,178,178,177,176,175,174,173,173,174,176,178,180,180,181,183,184,184,184,185,185,184,184,183,182,181,179,179,180,180,179,179,178,177,176,175,174,176,178,179,181,182,183,185,186,186,186,187,186,181,173,174,182,174,155,150,173,180,180,180,180,179,178,176,175,178,179,181,183,184,186,187,187,188,188,189,191,178,148,135,165,163,128,103,140,161,160,171,180,180,179,178,177,180,181,183,185,187,187,189,189,189,189,189,193,175,135,100,135,157,126,95,104,129,112,124,167,181,180,180,179,181,183,185,187,188,189,190,191,192,186,172,182,167,125,88,126,174,143,107,100,118,96,85,136,180,182,181,181,182,184,186,188,189,190,191,195,202,186,152,159,172,132,85,133,196,156,118,117,126,98,76,121,180,184,182,182,184,185,187,189,190,191,193,206,214,190,149,136,184,152,91,124,179,139,114,145,140,101,74,125,182,185,184,184,186,186,188,190,192,193,196,212,211,188,144,115,159,142,97,106,136,125,127,160,129,84,70,136,185,187,186,185,187,188,190,192,193,194,202,216,198,166,125,91,93,99,96,109,141,161,158,141,103,67,81,157,188,188,187,187,187,189,192,193,194,198,214,214,183,138,106,78,57,82,136,164,172,173,157,132,110,80,112,180,190,189,188,188,189,190,193,194,195,202,223,209,169,135,116,77,73,140,193,198,182,165,143,123,112,88,129,188,192,191,190,189,190,191,194,196,196,205,226,207,163,147,135,105,136,197,212,202,181,159,139,117,99,82,136,191,194,193,192,190,191,193,195,197,198,211,229,213,182,163,147,156,192,214,211,198,177,152,131,109,85,74,144,193,195,194,193,192,192,194,196,198,200,215,231,220,200,180,158,179,205,213,204,190,168,141,121,99,76,67,141,194,195,195,194,193,193,195,197,199,201,214,229,223,207,187,166,185,202,204,192,178,155,129,110,89,68,65,143,195,197,196,195,194,195,196,198,201,202,212,226,222,210,185,165,179,193,190,181,167,141,116,97,78,62,81,165,198,198,198,196,195,196,196,198,201,202,209,223,220,205,175,157,170,180,182,172,154,128,105,87,71,75,134,191,200,200,199,198,197,196,196,199,200,200,206,216,211,190,163,156,168,178,181,167,144,123,100,80,84,136,187,200,201,201,200,199,198,195,197,199,187,158,181,208,203,188,175,168,169,179,180,159,131,115,91,82,137,191,202,202,202,202,201,200,199,196,198,197,158,98,120,183,200,192,179,163,155,168,165,138,113,98,82,119,186,204,204,204,202,202,202,201,200,197,199,184,123,87,82,112,149,151,142,132,129,142,136,114,95,81,105,176,204,206,205,205,204,203,203,202,201,197,197,160,98,85,75,51,69,77,74,69,70,84,87,81,70,77,154,203,207,207,206,206,205,204,203,203,202,195,184,127,88,83,76,36,36,50,49,42,37,37,40,41,35,63,160,206,208,207,207,206,205,204,203,203,201,195,165,103,83,82,75,30,23,41,44,37,33,30,28,24,18,32,128,202,207,207,206,206,205,203,203,202,201
0,196,197,199,199,200,202,201,200,200,200,200,200,200,199,199,198,197,197,197,197,195,195,194,192,193,192,191,190,197,197,199,201,202,203,203,203,202,202,201,201,202,200,200,199,198,197,197,198,197,195,196,194,194,192,191,191,198,198,200,202,202,203,204,204,203,202,202,202,203,201,200,199,197,200,199,198,197,196,196,194,194,194,193,193,199,200,201,202,203,205,205,205,204,203,203,203,201,203,201,213,198,178,196,201,198,200,197,196,195,194,193,193,200,201,202,203,203,205,205,206,206,206,204,203,212,199,201,236,205,171,151,186,176,184,201,194,196,195,194,193,201,203,204,204,204,205,205,207,206,205,202,215,231,207,204,238,208,173,147,196,174,142,169,149,179,200,196,195,202,204,205,205,206,207,207,206,208,217,190,224,231,211,202,242,218,163,188,218,170,123,142,129,175,202,196,196,203,205,207,206,208,209,210,203,225,245,205,221,239,209,188,237,222,164,164,199,157,120,148,132,189,200,197,196,205,206,208,209,208,209,209,206,232,255,230,199,246,214,170,209,205,160,133,176,141,140,173,131,185,201,196,198,206,207,207,208,209,211,207,216,223,246,241,183,224,204,151,174,191,157,130,174,136,173,190,133,171,205,197,199,207,209,209,209,209,211,208,223,216,217,214,168,196,188,139,134,194,151,126,182,144,201,196,137,174,206,198,199,207,209,209,210,211,212,207,231,230,206,201,153,175,190,136,117,199,160,128,135,183,218,185,132,185,205,200,199,207,209,210,210,211,211,214,238,206,176,196,167,150,204,145,124,186,204,204,153,193,211,167,131,196,203,201,200,209,210,210,211,211,211,221,245,216,180,167,173,149,190,154,169,217,224,209,190,166,182,157,139,205,203,203,200,209,211,212,213,213,212,223,248,221,195,173,167,197,202,215,226,223,212,192,179,167,150,146,143,207,202,203,201,210,212,215,215,216,211,232,253,226,210,199,185,203,229,235,236,224,207,188,172,160,141,130,148,209,202,203,203,211,213,214,215,216,212,239,253,231,221,207,194,215,238,244,245,225,203,188,169,151,136,126,184,209,205,205,204,212,214,214,215,217,213,241,249,231,217,203,197,218,240,247,244,226,203,181,161,144,127,148,211,207,205,204,204,211,212,214,215,217,213,238,250,233,218,202,194,215,235,238,231,220,197,172,150,136,127,190,211,206,205,205,204,211,212,215,215,217,213,226,247,230,217,207,198,217,228,222,211,196,180,164,145,130,179,212,207,206,206,205,203,211,213,215,215,218,214,224,237,219,221,214,199,215,223,211,192,174,168,152,137,182,213,208,208,208,207,205,203,214,214,217,216,218,216,225,236,221,222,211,199,210,220,203,175,160,154,136,183,215,210,211,209,207,206,205,204,214,215,216,217,218,216,229,249,235,216,203,202,200,210,187,158,151,135,176,217,211,210,212,211,208,208,206,204,213,215,216,214,224,211,209,255,242,216,204,205,191,198,171,148,134,160,217,212,213,211,211,210,209,209,209,205,212,214,217,213,232,255,196,217,234,210,205,198,186,189,155,134,125,198,216,211,211,211,209,210,209,205,194,186,216,217,220,215,236,255,254,165,245,233,222,211,194,185,157,134,129,207,217,217,215,207,212,214,198,179,184,178,174,176,174,168,251,255,255,171,174,246,230,218,197,181,165,155,144,156,166,159,162,201,219,208,192,147,201,188,134,135,124,160,255,255,255,189,133,240,221,207,189,174,160,150,146,140,123,138,201,226,209,189,199,138,178,202
7,184,186,189,191,193,193,195,196,196,197,196,196,196,196,195,195,194,193,193,192,190,189,189,187,185,185,184,183,186,188,190,193,195,197,198,197,197,197,197,197,196,196,196,196,195,194,194,193,192,191,190,188,187,186,185,184,187,189,192,195,196,198,199,199,200,200,199,199,198,198,197,197,197,196,195,193,193,193,191,189,189,188,187,185,189,190,193,195,197,199,200,201,201,201,201,201,200,200,200,199,197,197,197,196,195,194,193,191,191,189,188,187,190,193,195,197,199,199,200,201,201,201,201,201,201,200,201,201,200,199,198,197,196,195,195,193,192,190,190,189,191,195,197,198,199,200,201,202,202,202,202,203,202,202,201,201,202,201,200,199,197,195,194,194,193,193,192,189,193,195,197,201,201,201,203,204,204,204,204,203,203,203,203,202,200,196,192,186,171,181,193,181,194,194,193,191,195,196,198,201,202,204,205,206,206,207,205,199,194,187,180,179,179,171,164,160,146,177,193,158,189,193,194,193,196,197,200,201,203,205,201,193,185,186,183,176,163,150,142,154,169,163,152,144,135,143,155,142,186,192,178,193,197,199,200,203,204,197,185,166,159,156,153,158,154,147,133,130,134,126,130,135,131,131,142,154,196,194,143,188,198,201,201,201,199,189,175,163,158,149,140,144,151,146,127,121,118,140,159,171,155,150,147,149,155,155,147,193,198,199,197,191,182,177,174,171,156,123,117,136,156,152,139,134,126,141,155,158,143,131,121,118,128,156,187,199,196,192,187,182,178,175,169,169,153,112,108,119,127,125,121,124,115,114,125,118,114,119,144,171,190,199,200,200,190,186,183,182,180,169,161,161,157,133,101,84,75,76,84,94,96,106,126,149,173,191,203,204,203,202,201,200,187,184,181,176,170,164,161,161,163,150,111,77,59,82,132,147,163,181,201,209,209,207,206,205,203,202,202,201,185,179,172,166,161,157,155,153,151,134,109,81,71,89,176,214,214,213,212,209,209,208,207,206,205,204,203,201,179,172,164,157,151,147,142,139,136,125,99,75,74,76,88,183,217,213,212,210,210,208,208,207,206,205,205,203,162,167,158,153,143,141,137,133,132,126,99,70,71,84,73,117,216,215,214,212,212,210,209,208,207,206,206,205,82,131,154,153,146,140,137,137,138,133,101,69,64,79,79,111,214,217,215,214,213,212,211,209,207,207,207,205,43,59,121,154,151,144,135,129,125,114,93,75,68,59,61,130,218,218,217,215,214,213,212,210,209,208,207,206,40,37,56,127,152,145,135,123,111,99,87,81,76,62,58,91,207,219,217,216,215,214,212,211,210,209,208,207,37,36,33,65,128,130,120,110,102,88,81,81,78,69,67,100,208,219,218,217,216,215,214,212,211,210,208,207,34,31,31,34,74,100,97,89,78,58,60,74,75,95,149,185,220,218,217,217,216,215,215,214,213,211,209,208,28,27,29,30,23,42,88,121,58,45,55,71,96,182,224,222,222,220,219,217,218,216,215,214,213,212,209,209,20,23,28,31,15,53,173,181,66,60,75,121,189,223,224,223,221,221,220,218,218,217,215,215,214,213,211,209,23,21,32,31,64,180,223,217,162,156,184,215,225,224,223,223,221,221,221,218,217,217,216,215,215,213,212,209,44,31,28,65,189,221,222,222,223,224,225,223,222,222,222,222,222,221,220,218,217,216,216,215,214,213,211,208,34,27,24,123,221,220,222,222,223,223,223,222,222,222,222,222,222,222,221,218,217,216,215,215,213,213,211,209
20,177,180,184,186,189,191,192,193,194,196,197,195,194,195,195,192,194,181,190,191,189,189,188,186,184,184,183,182,178,182,186,188,190,192,195,195,197,197,198,198,197,196,195,197,208,147,159,195,191,189,189,187,187,187,185,184,179,183,186,189,192,194,196,197,198,198,199,199,198,198,195,205,209,142,127,173,155,192,190,189,189,188,187,185,182,185,188,190,193,196,197,199,200,200,201,199,199,200,196,208,203,136,131,183,118,180,195,191,190,189,188,187,183,186,190,192,195,197,199,202,202,201,203,203,202,201,197,219,209,138,136,184,122,170,199,192,193,191,190,189,184,188,190,193,196,198,200,203,203,202,203,204,203,203,199,227,203,138,145,185,128,171,201,194,194,192,191,189,185,190,192,195,197,199,202,203,203,204,204,205,205,202,206,220,181,127,171,197,135,165,204,195,195,194,192,191,187,191,194,196,199,201,202,204,204,205,206,206,209,207,216,216,173,112,176,188,129,164,205,196,196,196,194,192,189,192,196,198,200,202,204,206,206,207,208,207,190,176,224,218,166,111,185,182,120,171,206,198,198,197,196,193,190,194,196,198,202,204,205,206,209,210,207,216,185,124,203,198,126,134,207,178,122,179,207,200,199,198,197,195,191,195,198,200,203,205,206,207,210,210,216,228,196,154,158,127,91,152,194,164,117,190,207,200,199,200,198,197,193,196,198,202,204,206,209,209,211,208,184,202,214,185,140,117,102,148,161,134,118,205,204,202,203,202,200,198,194,197,200,204,206,208,210,210,223,218,159,161,219,175,165,158,151,156,128,112,143,215,204,205,204,203,201,199,194,198,202,204,207,209,210,217,237,227,180,165,193,186,181,168,178,166,110,95,176,214,205,205,204,203,202,200,196,199,204,205,209,211,209,228,224,231,180,157,208,194,165,164,166,148,123,89,184,215,207,207,205,204,203,202,197,200,204,207,209,211,211,241,218,207,193,137,179,170,103,107,165,158,141,95,179,218,208,208,206,205,205,203,198,202,205,209,211,211,219,235,201,193,194,118,94,97,77,76,162,190,153,111,129,218,209,209,208,207,204,203,200,203,205,209,212,214,218,244,231,212,181,155,115,77,114,181,190,198,168,127,93,187,216,209,209,208,206,205,200,203,207,210,212,213,220,246,236,209,174,190,131,105,200,228,210,183,164,130,101,176,220,209,210,209,208,204,200,205,209,211,213,215,221,246,239,202,172,160,118,165,231,209,188,177,136,128,102,198,216,211,211,210,208,205,202,205,210,211,214,215,221,245,234,202,198,149,165,236,219,187,165,176,133,107,116,220,213,213,212,211,209,207,203,206,211,213,217,217,220,241,232,210,203,156,201,235,206,187,171,167,148,89,151,227,214,214,214,211,210,208,203,207,210,214,216,218,221,233,229,212,203,161,192,215,195,183,162,150,132,90,200,221,215,215,214,212,211,208,203,208,211,214,215,220,223,232,227,214,196,163,162,184,175,160,141,136,94,143,228,216,217,216,215,213,211,209,203,206,210,212,223,201,111,186,224,210,168,138,141,152,168,150,129,99,99,216,222,218,217,216,216,214,212,210,202,205,208,216,210,118,81,94,169,182,149,143,150,153,172,143,113,86,186,226,216,218,217,216,214,212,211,209,202,206,212,215,126,84,97,87,94,147,164,157,152,153,161,130,88,157,232,218,219,218,217,216,215,212,211,209,203,205,218,146,90,99,86,90,85,91,130,139,143,141,131,105,107,220,223,220,220,218,218,217,216,214,212,211
5,178,178,178,178,179,179,179,179,178,177,177,178,177,175,174,174,172,171,169,168,168,167,166,164,163,163,162,161,182,182,182,182,182,182,181,182,183,180,179,179,178,178,177,176,175,174,172,170,171,170,167,166,164,164,164,163,186,186,187,186,185,186,186,185,186,185,184,183,182,182,178,179,177,173,176,173,172,172,171,168,167,166,164,162,188,189,189,188,187,190,190,189,187,188,187,186,184,180,181,199,141,151,184,176,175,173,172,171,169,167,166,163,191,192,193,192,195,181,189,194,190,191,189,187,190,184,168,132,107,171,183,178,178,178,175,173,172,170,169,166,194,196,198,193,216,152,156,205,194,194,191,202,193,140,116,141,177,187,183,181,180,180,178,176,175,173,171,169,199,199,200,198,212,130,154,208,198,191,199,195,135,124,191,201,195,191,187,187,189,184,180,179,178,175,173,172,203,202,202,203,197,125,179,209,194,178,170,128,130,176,147,149,148,149,148,145,167,181,185,183,181,178,177,176,206,205,206,206,181,129,199,210,195,155,119,125,198,124,109,120,140,153,155,153,150,169,145,179,184,181,179,179,208,208,209,209,194,129,181,216,188,145,118,140,153,113,119,113,121,121,111,122,130,129,133,186,185,183,181,179,211,212,211,212,199,130,167,222,178,142,121,117,128,128,102,87,83,81,85,92,95,98,164,192,189,185,184,183,213,214,214,213,192,143,126,210,178,132,101,101,114,108,86,91,102,97,113,114,137,154,144,130,184,192,185,184,215,217,217,219,183,157,149,149,151,133,114,100,94,77,86,111,90,119,156,161,180,159,149,142,140,187,189,186,218,217,219,221,216,174,173,158,131,137,123,98,96,86,90,89,127,208,213,210,204,180,185,178,136,189,192,189,220,219,220,220,223,209,174,189,182,150,111,91,85,97,84,148,215,209,204,207,179,176,184,135,166,201,190,191,221,221,222,223,221,227,202,193,194,165,128,86,88,81,113,228,214,208,214,191,156,182,151,129,202,198,195,193,223,223,224,225,224,225,222,191,201,176,137,90,88,84,123,195,206,222,203,173,167,163,102,174,209,198,198,196,224,225,225,225,226,227,225,199,206,185,146,100,89,107,105,120,143,171,163,168,163,110,144,211,202,202,200,198,225,226,226,226,227,227,227,195,210,194,150,110,90,106,109,123,145,129,142,164,119,141,217,206,204,203,201,198,226,226,228,227,227,227,229,195,213,193,150,125,94,100,110,122,142,145,124,119,128,215,211,208,206,204,202,199,229,228,229,230,229,229,230,197,216,193,156,137,100,95,112,127,139,133,101,99,207,217,211,210,208,206,204,202,231,230,231,231,231,232,229,200,211,191,162,138,103,91,114,126,130,110,92,196,223,214,213,212,210,207,205,203,231,231,232,233,232,233,231,201,199,184,160,139,105,89,112,114,115,80,152,233,215,218,215,214,213,210,207,204,233,232,233,233,234,234,231,200,196,183,158,139,105,91,106,112,95,97,219,223,220,219,217,216,214,211,208,206,234,234,234,234,234,236,227,202,199,181,158,136,104,92,102,95,81,190,231,221,222,220,219,217,214,211,210,207,234,235,235,235,236,239,223,208,202,185,164,128,98,91,82,84,186,235,223,225,223,220,219,218,215,213,211,208,234,234,234,236,237,235,219,208,199,188,158,116,93,80,116,212,236,228,226,225,225,222,220,219,217,213,212,211,233,234,234,235,235,230,208,191,195,180,145,105,91,91,219,238,224,229,226,224,223,221,219,218,217,214,212,211
5,163,164,166,167,170,170,170,171,171,170,170,171,170,168,169,168,168,166,166,165,162,162,161,159,159,158,157,155,166,167,168,169,172,172,172,173,172,172,171,170,174,172,170,170,170,169,167,166,164,164,164,161,161,159,157,157,167,169,171,172,173,174,173,173,175,174,174,183,141,165,174,172,172,172,170,168,166,165,165,164,163,161,160,159,170,170,172,174,175,176,176,180,178,175,179,193,110,139,181,173,173,172,171,169,169,167,167,166,164,164,163,161,172,173,173,175,174,183,178,145,184,175,187,189,95,141,182,174,175,173,172,172,170,170,169,167,166,166,163,161,173,174,175,179,175,199,161,103,183,177,191,162,87,165,183,178,177,176,173,175,174,172,171,170,169,168,165,163,174,176,179,178,181,206,121,109,188,180,181,140,96,183,180,181,178,174,186,150,158,177,172,172,171,169,167,166,176,177,181,178,195,181,81,159,192,174,160,120,109,187,183,179,176,190,180,103,136,184,174,174,172,171,169,169,178,179,182,177,212,175,85,183,190,161,145,92,137,194,167,167,173,155,102,109,173,179,178,177,174,172,170,169,180,181,182,182,225,162,89,185,184,153,132,82,171,146,152,176,124,83,128,177,182,179,179,178,175,173,172,170,181,183,184,190,222,128,89,200,161,158,138,95,117,110,137,121,85,145,193,182,181,180,179,179,177,174,173,172,182,185,187,188,214,187,93,159,148,146,118,83,86,101,77,99,160,190,184,184,182,181,180,180,179,177,174,172,185,188,191,188,208,208,126,94,113,118,90,75,101,88,98,188,192,185,185,186,183,182,181,181,180,179,176,174,187,189,192,191,201,207,172,121,104,108,83,72,101,90,169,199,188,188,186,186,185,184,184,181,181,180,177,175,189,191,193,194,195,229,209,157,104,90,91,88,84,157,192,172,176,192,193,191,189,186,185,183,182,181,179,177,191,193,195,196,197,229,207,149,98,82,80,92,93,134,135,145,152,157,168,175,182,191,187,184,184,182,180,179,193,194,197,198,204,227,197,140,86,75,74,92,98,107,144,150,181,173,171,175,177,136,176,190,185,183,182,180,195,196,199,195,215,226,206,151,93,70,70,91,101,97,117,90,130,155,151,167,165,117,160,196,185,185,183,181,196,198,200,198,226,221,202,143,99,73,69,81,82,75,98,103,163,165,146,165,195,143,135,197,186,186,183,182,197,201,198,211,225,212,198,139,99,69,61,73,64,148,204,198,208,202,193,201,159,103,185,194,190,188,185,182,199,201,198,226,218,213,195,140,91,67,65,83,91,103,176,214,194,162,166,179,89,141,207,191,192,190,188,186,199,200,207,232,214,210,186,119,84,63,78,87,97,104,109,152,160,173,166,131,57,177,202,195,193,190,189,187,203,196,230,227,208,209,169,106,83,71,100,117,127,123,105,117,155,165,145,78,93,199,199,197,195,193,190,190,202,101,136,218,220,193,152,107,84,88,113,127,129,115,109,111,144,122,85,125,198,202,200,200,196,194,192,189,120,67,62,97,181,184,145,115,85,95,122,118,112,94,106,94,75,96,170,211,204,201,202,200,195,194,193,191,77,71,69,61,67,109,127,93,70,81,107,103,94,84,76,63,118,203,214,204,204,203,201,200,198,195,194,193,81,67,62,65,61,56,44,38,43,51,66,78,71,59,124,189,218,210,206,208,208,206,203,201,199,196,194,194,69,61,60,59,54,61,33,19,31,30,33,38,53,147,222,216,210,210,210,209,208,207,204,201,200,198,195,195
4,155,156,156,157,159,160,161,162,162,162,162,161,162,163,162,162,161,161,162,162,162,162,163,162,162,161,160,160,157,157,158,160,161,161,162,162,162,163,162,163,162,162,163,165,167,164,163,163,166,164,163,164,163,162,162,162,158,159,161,162,163,163,163,163,163,164,164,165,167,167,162,145,137,158,158,136,138,167,167,165,166,165,164,163,161,162,163,163,163,164,165,165,165,165,165,156,152,158,175,167,141,118,123,148,125,106,155,170,167,167,166,165,162,163,163,164,166,166,167,167,167,168,168,166,150,119,122,174,162,120,72,99,134,81,100,179,166,167,167,167,163,164,165,166,166,167,168,165,165,157,169,175,162,126,81,114,166,116,78,53,109,88,84,175,167,169,168,168,165,166,166,167,168,168,167,168,166,124,103,132,167,132,83,51,150,130,93,46,98,109,83,172,171,170,169,170,166,168,168,169,169,167,170,168,168,127,74,62,151,153,97,40,124,169,121,55,93,136,90,170,172,171,171,171,166,169,170,170,170,169,171,147,143,135,102,44,130,174,98,74,134,166,127,74,70,123,110,177,172,172,171,172,167,169,169,171,172,171,173,153,100,135,136,64,90,158,102,67,95,126,121,71,60,82,70,165,176,172,173,173,168,169,171,171,172,172,175,159,128,126,127,81,67,89,87,79,76,90,98,69,76,99,76,110,183,172,175,174,169,170,173,172,173,172,177,172,154,127,97,75,73,83,78,87,91,84,80,71,126,133,122,90,156,181,174,174,172,172,173,173,174,173,179,171,144,126,103,87,89,92,94,107,108,111,120,117,129,152,140,102,99,184,175,176,171,172,173,175,175,174,179,167,134,113,100,89,100,108,125,133,144,159,173,169,146,139,119,91,64,153,183,175,171,172,174,176,176,175,178,171,142,120,106,97,112,114,143,169,155,169,169,165,154,134,109,80,63,119,190,175,173,174,176,177,177,176,178,182,157,131,109,103,111,118,162,168,160,167,166,161,147,131,108,83,61,137,187,176,173,175,177,177,178,178,176,181,166,142,119,103,111,126,164,169,168,173,171,159,148,133,105,77,74,174,181,178,174,176,177,177,178,179,177,181,177,152,128,106,125,127,158,172,177,181,176,165,149,120,98,68,113,191,180,181,175,177,177,178,179,179,178,179,182,162,134,116,136,135,150,174,182,183,186,175,142,111,92,67,154,188,180,181,176,177,178,179,180,181,178,176,179,175,138,123,137,143,157,175,185,188,190,168,131,110,80,83,185,183,183,182,177,178,179,179,181,182,181,172,171,175,147,129,137,141,160,178,181,191,176,146,120,107,68,122,195,182,184,183,178,179,179,180,181,181,184,169,166,175,160,138,133,139,157,177,175,174,155,132,113,95,65,166,189,182,184,183,178,179,180,180,180,180,184,175,162,174,167,151,140,142,154,168,170,153,139,120,100,72,109,194,184,184,184,183,178,178,179,179,180,181,183,183,163,161,163,156,147,145,145,149,152,136,120,99,76,78,178,188,185,186,186,184,176,177,178,178,179,180,181,185,168,157,162,154,148,144,134,133,140,128,106,85,58,133,194,183,185,186,186,185,177,177,177,179,180,181,181,185,170,162,159,148,143,139,126,122,129,118,86,75,66,172,188,185,185,184,185,184,179,179,179,180,181,181,181,184,173,162,150,128,134,133,127,125,120,105,83,68,88,189,185,186,186,184,185,185,178,179,181,181,181,182,182,185,176,163,157,138,149,147,138,129,117,103,90,62,111,193,184,187,186,185,184,185
23,160,163,169,170,171,173,175,176,176,178,180,179,178,177,178,179,180,179,179,180,179,180,180,179,180,177,179,177,163,166,170,172,173,176,176,178,180,179,178,178,179,180,181,183,184,183,185,180,180,181,182,180,181,180,180,179,167,170,172,176,177,178,179,180,183,182,181,182,184,180,180,176,164,169,183,188,184,184,185,185,184,184,182,181,169,171,176,177,179,182,183,184,184,186,188,186,181,197,214,188,160,140,158,140,172,191,189,188,187,188,186,183,170,173,177,179,182,183,186,187,186,188,189,186,203,216,199,167,133,131,108,75,175,194,190,191,190,189,189,188,172,176,179,181,185,187,188,188,188,189,191,209,208,156,146,100,116,124,122,167,194,190,193,191,192,193,192,192,175,178,181,183,186,188,188,190,191,189,191,201,172,103,96,151,203,200,204,200,193,195,195,194,194,195,195,194,179,181,184,188,188,190,191,191,194,192,194,189,153,114,104,219,192,193,184,185,199,194,197,199,198,197,197,196,180,183,187,189,190,192,193,193,195,196,198,191,153,149,96,192,193,208,189,99,167,204,198,199,201,200,198,198,181,186,189,191,192,194,196,197,197,197,196,198,176,150,128,209,226,216,186,81,120,217,199,202,201,200,198,198,184,189,190,191,195,196,196,198,198,199,196,205,187,197,227,222,199,194,176,60,81,151,158,208,200,201,199,199,184,188,191,192,196,196,197,199,200,199,198,196,203,218,209,197,202,188,138,67,9,94,104,209,205,202,202,201,187,188,192,196,197,197,199,200,201,201,195,196,207,215,218,197,195,180,81,46,0,61,51,98,216,206,204,205,188,189,192,197,197,197,200,202,201,205,203,202,203,208,200,188,196,167,68,36,6,34,50,20,106,218,203,205,190,191,194,197,198,199,202,204,201,213,218,194,197,197,198,199,182,119,59,43,9,19,48,51,40,203,209,206,190,192,196,198,200,201,203,205,204,205,211,198,202,204,190,159,105,48,65,51,12,13,46,37,105,219,206,207,191,193,196,197,201,203,203,205,207,196,205,200,195,173,137,86,18,29,69,45,5,29,55,45,189,219,208,208,190,195,197,199,203,204,204,206,208,198,202,195,188,174,113,56,11,55,52,8,2,37,44,120,223,209,211,210,189,194,197,200,202,204,205,206,208,200,198,192,199,177,83,28,13,27,3,2,19,34,51,195,218,212,213,212,190,194,195,199,199,201,204,205,206,199,192,192,203,152,79,48,6,1,7,23,46,31,107,226,211,214,215,215,191,195,197,198,200,202,203,204,205,198,193,200,206,158,93,62,10,7,43,58,66,40,164,228,214,214,214,214,190,194,197,200,203,204,204,203,207,195,190,211,200,159,107,69,32,15,55,68,71,47,185,223,213,214,213,213,189,194,198,200,204,204,205,204,207,195,183,211,198,158,112,73,46,18,56,71,66,63,209,218,215,215,213,213,189,194,198,199,203,204,206,205,207,193,183,202,193,155,108,70,52,24,52,76,50,103,228,213,216,215,215,214,192,195,197,199,202,204,205,205,210,181,179,199,187,146,105,68,50,33,44,66,41,180,222,212,214,214,216,216,193,197,202,203,207,211,212,213,217,178,194,199,173,139,101,68,50,43,38,43,140,230,218,220,218,219,217,212,101,108,115,119,122,125,130,138,133,158,218,203,168,127,93,68,50,48,33,121,204,196,199,207,208,201,198,196,65,66,68,67,68,69,72,72,56,174,232,202,165,116,91,70,49,46,56,83,97,119,129,163,182,167,177,176
1,92,110,110,114,119,132,147,157,161,166,170,173,177,183,183,186,186,187,189,189,190,191,192,192,192,192,193,192,99,110,112,116,120,135,150,160,164,169,175,175,186,202,152,184,191,192,191,192,192,192,193,193,193,193,193,192,104,110,113,117,121,138,153,163,167,173,179,180,196,211,136,152,160,185,199,197,196,197,196,195,195,195,194,194,109,111,115,118,123,140,157,165,170,174,204,179,170,216,137,144,154,152,208,200,202,202,201,200,198,197,197,196,112,112,115,119,125,143,159,167,173,176,216,183,146,211,137,139,169,128,202,207,205,205,205,204,203,202,201,201,112,112,117,120,128,147,162,170,176,178,216,190,139,196,141,135,170,122,190,216,209,210,209,208,207,207,205,204,113,113,117,120,130,150,165,171,178,181,219,192,128,186,157,139,178,132,178,221,213,214,214,213,211,211,210,209,114,114,118,120,134,154,168,173,184,195,199,196,127,160,152,136,182,138,167,227,217,218,218,217,215,216,215,213,114,114,119,122,136,157,171,172,198,197,180,197,128,146,154,124,177,142,161,230,220,222,222,220,219,219,218,216,116,116,120,122,138,159,174,173,216,193,165,195,128,158,166,126,193,164,159,231,224,224,224,224,223,222,221,221,116,118,121,124,141,161,176,177,220,179,156,208,139,150,164,127,193,176,153,231,227,228,228,227,225,225,224,224,116,118,121,124,144,164,178,180,220,176,143,202,144,127,151,134,186,176,141,229,231,230,230,229,227,227,228,227,116,118,120,125,147,167,180,184,224,179,127,183,137,119,145,149,198,176,138,226,234,233,233,232,232,231,231,231,117,118,120,126,149,169,182,187,228,193,121,171,173,167,162,178,201,155,128,216,240,234,235,235,234,234,234,234,117,119,120,128,152,171,186,188,227,191,129,179,212,179,165,173,174,153,118,192,246,235,237,237,235,236,236,234,117,119,120,130,154,174,188,191,226,199,170,173,152,164,157,156,149,159,145,164,246,237,239,239,238,237,238,244,117,119,121,131,157,178,190,194,237,214,174,157,139,157,159,168,160,180,180,148,195,250,238,239,244,249,241,212,116,119,121,133,160,180,190,198,244,213,171,147,144,160,166,216,207,192,209,183,136,216,248,249,227,183,132,99,117,120,121,136,162,183,192,201,244,210,163,144,150,165,192,232,240,201,221,186,126,174,252,165,107,92,88,92,116,119,120,137,164,184,194,200,241,216,164,145,157,173,205,230,246,235,201,156,123,166,155,96,90,87,97,86,115,117,119,138,165,185,194,200,235,220,171,146,161,181,214,236,242,227,189,147,130,112,87,104,103,73,94,94,115,117,118,140,167,188,196,200,231,226,189,151,162,184,215,242,236,213,181,148,126,105,91,82,106,79,75,97,111,113,115,139,168,189,198,201,226,227,203,161,163,183,215,242,224,201,173,144,124,103,95,72,91,96,66,83,125,122,123,144,171,190,199,205,221,222,209,173,166,177,215,232,216,196,164,138,120,104,88,77,73,97,74,70,152,151,152,151,152,159,164,167,174,214,213,180,177,173,206,219,210,188,156,134,115,100,94,76,67,88,86,62,148,148,148,149,149,150,151,153,148,191,217,189,180,172,187,209,197,174,146,127,109,83,96,80,63,81,94,67,149,149,151,152,154,154,156,157,155,163,207,192,180,174,169,190,182,159,135,118,110,84,87,81,64,73,95,80,148,150,150,152,152,153,155,156,157,154,190,201,183,179,163,170,174,151,126,109,111,95,74,63,72,67,91,89
17,178,178,181,181,183,185,187,187,188,189,190,191,192,192,193,194,195,196,197,196,197,197,198,197,198,198,198,199,177,178,180,181,183,186,187,188,188,190,191,192,192,192,194,195,196,198,199,200,199,201,199,198,199,199,199,200,177,179,181,183,186,187,187,188,189,191,191,193,194,194,194,196,197,198,192,187,196,176,195,200,200,200,200,200,179,180,182,184,187,187,189,190,190,191,192,193,193,196,196,198,197,200,195,158,154,141,167,207,200,201,201,200,179,181,183,185,187,189,190,191,192,193,195,196,196,196,198,199,198,201,213,176,132,123,170,208,200,202,202,201,180,181,184,186,188,189,192,191,192,194,194,195,197,197,198,200,200,199,216,185,145,112,182,207,200,203,202,202,181,182,185,186,187,190,191,192,193,194,194,197,197,200,201,200,202,199,216,198,160,121,196,205,203,203,202,202,181,183,185,187,188,189,192,193,194,195,195,197,200,185,188,206,201,200,219,199,164,143,207,204,205,204,204,203,181,185,186,187,188,191,192,193,195,196,196,196,201,187,152,179,207,206,220,194,163,151,209,205,205,204,205,204,181,184,186,188,189,190,192,194,194,194,193,196,207,193,174,157,181,202,218,194,160,147,208,205,205,205,205,205,183,185,187,187,189,192,194,192,199,202,176,160,196,208,205,201,165,139,186,191,165,148,207,206,207,206,206,204,183,185,186,189,192,193,194,193,210,212,174,150,188,194,215,210,189,141,140,172,159,146,206,206,206,206,206,205,182,186,187,190,191,193,193,199,202,187,198,171,176,156,175,222,206,165,127,148,147,141,206,207,207,206,205,206,184,186,188,190,191,193,193,202,211,170,167,159,131,120,124,224,217,184,134,130,134,134,205,208,208,207,206,207,185,186,188,190,192,194,193,208,198,164,151,161,136,135,134,211,227,196,149,126,133,130,201,210,207,208,208,208,185,187,189,192,193,195,192,210,205,189,175,167,149,165,154,196,235,197,163,128,132,129,195,212,207,209,208,208,186,187,190,191,193,194,195,217,197,176,171,164,159,178,180,212,218,200,173,133,125,127,197,211,208,209,209,209,185,187,190,192,194,194,202,214,183,169,165,164,173,176,222,230,199,189,172,132,121,121,198,213,209,209,209,209,185,187,189,192,196,193,208,217,188,176,166,168,173,201,237,224,200,181,165,132,118,123,202,211,211,210,209,209,186,187,190,193,196,193,213,219,192,181,165,170,180,227,225,217,197,176,159,130,117,133,213,209,210,210,209,209,186,188,191,193,196,192,218,217,196,189,171,172,200,236,221,214,190,166,155,129,114,158,218,208,209,210,210,210,186,188,192,195,196,191,224,217,200,195,184,173,211,232,213,211,192,159,147,127,118,194,213,209,211,210,209,209,186,189,192,195,198,193,226,222,203,204,194,178,210,225,208,204,191,158,141,120,139,216,209,210,210,210,210,210,187,190,193,194,196,193,221,227,207,207,198,188,198,220,204,203,183,156,136,115,177,217,209,210,210,210,210,210,186,190,193,195,197,193,212,230,211,202,194,195,193,211,199,206,188,151,134,118,196,215,210,211,211,210,210,210,187,191,193,194,197,196,207,228,208,200,189,193,197,203,194,208,190,151,131,125,208,212,212,212,212,211,211,211,188,190,192,194,197,195,209,224,206,200,189,190,196,201,192,207,181,151,128,150,218,210,212,212,212,211,211,211,186,189,192,194,198,195,212,225,214,201,193,196,199,200,188,203,169,144,125,185,217,211,212,212,212,211,211,211
4,151,155,159,161,165,168,171,174,175,178,178,179,182,183,182,184,182,182,179,180,180,179,179,178,178,177,176,175,152,156,160,164,167,169,171,175,178,180,180,185,185,182,180,180,189,183,184,182,182,180,180,178,179,178,177,176,154,158,162,166,169,171,174,177,179,179,178,173,181,201,179,126,140,192,185,185,184,182,182,180,181,180,178,178,155,160,162,166,171,175,177,180,178,198,188,142,129,224,190,131,74,192,193,190,186,186,184,183,184,182,181,181,157,162,166,170,173,177,178,177,172,233,218,161,93,188,197,133,64,125,149,165,194,186,186,186,185,184,183,182,158,163,169,172,174,173,189,210,184,153,217,189,109,153,207,134,40,63,132,86,153,197,185,188,187,185,184,183,160,164,170,173,177,178,220,229,192,93,183,193,102,119,190,114,35,74,138,93,61,192,190,189,187,187,185,184,160,164,170,175,176,182,214,203,180,88,162,167,92,81,146,99,30,99,151,99,42,178,196,190,188,188,187,186,161,167,172,174,176,178,213,181,183,93,140,153,88,48,109,84,46,169,159,85,43,182,196,189,188,190,188,186,163,168,171,175,179,178,219,171,160,143,121,158,131,53,89,59,57,168,120,47,44,195,195,189,190,191,189,187,165,169,174,178,180,181,229,212,166,112,68,177,153,145,130,117,120,149,136,72,45,201,197,194,193,192,191,188,166,170,176,178,179,187,233,204,161,102,58,80,85,164,136,155,178,194,183,104,68,204,197,197,194,194,193,191,166,171,176,178,179,196,231,175,126,95,70,51,42,87,138,152,170,178,161,102,62,192,198,196,195,193,194,193,166,171,176,181,177,207,230,179,134,89,60,56,69,69,100,122,122,132,141,117,49,153,208,196,195,194,195,194,167,172,177,182,176,214,229,185,133,94,73,66,76,107,97,105,136,146,160,134,63,107,215,195,197,196,194,194,168,173,178,183,180,222,224,176,122,85,76,66,70,119,114,161,192,193,198,151,89,55,197,202,198,198,196,195,169,174,179,183,182,224,222,175,125,94,78,77,80,114,137,202,217,207,213,168,107,36,146,215,198,202,197,197,171,174,179,184,183,221,211,176,132,111,95,84,83,112,197,215,220,197,188,151,99,35,137,217,199,201,199,198,170,173,177,183,183,218,204,176,141,114,95,88,93,165,230,224,206,183,150,120,70,48,187,207,201,201,199,197,170,171,178,182,181,215,213,179,128,99,90,100,126,214,231,218,184,153,120,86,39,111,213,200,201,200,199,197,170,172,177,182,181,208,221,182,140,137,111,113,156,227,220,199,164,130,96,57,46,192,206,202,201,201,200,197,170,174,177,183,184,200,214,192,159,153,126,94,174,226,200,174,141,110,76,29,117,218,202,204,202,202,199,197,170,174,178,183,185,198,221,195,161,154,129,94,185,209,174,144,109,81,51,41,196,208,203,203,203,202,199,198,170,174,178,186,180,201,231,207,171,146,113,95,179,183,147,116,81,63,18,120,219,203,204,203,203,203,200,198,171,174,178,185,175,227,228,194,157,125,82,105,164,140,96,75,57,27,56,203,204,203,203,203,203,202,199,197,173,176,183,179,195,240,217,194,165,116,96,125,139,91,60,56,42,39,182,213,205,207,206,206,205,205,203,202,159,160,166,160,221,227,217,201,161,127,117,123,116,74,64,69,35,126,195,186,189,189,189,190,190,190,189,188,93,92,81,123,232,205,192,179,138,122,138,99,83,65,60,54,43,84,86,86,86,84,85,85,86,90,91,89
20,140,144,147,150,152,155,157,158,160,161,163,163,163,162,166,167,165,166,166,166,166,168,168,166,167,167,166,164,144,148,151,155,157,159,161,162,165,166,167,167,165,181,145,154,173,169,169,170,170,170,171,170,172,171,169,168,147,151,155,158,160,163,166,167,168,169,170,171,171,206,125,119,172,173,172,173,173,174,175,174,174,173,172,170,150,154,159,161,164,168,168,170,172,173,175,174,178,206,129,107,140,140,184,176,177,177,178,178,177,176,174,173,154,158,163,166,168,170,172,174,175,176,178,178,182,203,125,130,162,106,186,180,180,180,180,181,180,179,178,177,158,161,165,168,171,173,175,176,179,179,181,181,186,205,129,144,176,99,177,186,183,183,184,184,184,182,181,180,160,164,168,171,175,176,178,180,182,183,184,182,190,210,135,144,189,103,172,192,186,187,188,187,186,186,185,183,162,166,170,174,177,180,182,183,184,186,188,184,198,208,135,144,201,112,162,196,188,190,191,190,189,190,188,187,166,168,172,176,179,183,185,187,189,190,190,187,207,211,140,151,202,119,150,201,191,193,193,192,192,193,190,190,168,171,175,179,182,185,188,189,192,193,191,162,196,225,138,156,213,128,142,206,193,196,197,196,196,195,194,192,169,173,177,181,184,188,190,191,186,200,216,164,147,172,117,142,218,136,141,208,196,199,199,198,198,197,196,195,172,177,180,183,187,191,192,198,187,167,213,192,123,99,84,125,187,136,138,209,198,202,201,200,199,199,199,197,174,179,183,185,189,194,194,205,214,163,166,192,150,144,115,111,151,132,133,212,202,204,203,203,202,202,201,199,175,180,184,189,191,196,198,195,192,167,132,181,170,185,166,105,106,120,122,211,203,205,204,204,204,203,203,203,178,182,186,190,193,197,199,193,159,164,116,192,171,176,172,114,80,89,119,213,203,206,207,206,207,205,204,204,180,185,189,191,195,198,199,202,193,165,137,141,127,94,173,144,93,68,111,214,206,209,210,210,209,207,206,205,180,185,189,193,196,200,201,211,186,133,97,66,68,54,149,181,121,75,91,212,211,211,211,212,210,209,208,207,182,186,190,195,197,203,204,211,189,151,114,96,94,99,171,211,152,99,83,202,214,211,212,213,211,211,211,210,184,187,191,196,198,202,203,213,205,156,122,113,128,178,224,201,156,121,87,198,218,212,214,215,214,213,213,212,184,189,193,197,200,204,204,214,209,167,133,135,149,210,224,189,141,109,92,208,217,214,215,215,214,214,213,212,184,190,195,197,202,206,204,215,217,186,157,144,155,219,206,173,129,92,98,217,216,216,217,217,217,216,214,215,186,191,196,200,204,206,205,213,223,194,161,155,160,220,199,158,120,90,102,219,218,219,219,219,218,218,217,215,186,191,197,200,204,206,207,208,216,191,174,179,162,216,193,144,110,86,113,222,218,220,220,220,219,219,218,216,186,191,195,199,203,205,207,206,200,193,175,181,155,205,176,135,103,79,127,228,217,219,219,220,220,220,218,217,187,191,197,201,203,205,206,207,204,193,175,177,141,181,154,119,103,76,149,228,216,218,219,220,220,219,218,218,188,192,196,200,202,205,207,206,209,197,167,154,119,158,135,114,105,84,194,224,218,219,220,220,220,219,219,218,188,193,197,200,203,205,208,204,211,199,170,138,127,166,125,123,90,128,225,219,220,220,222,221,220,220,220,219,188,194,198,200,203,205,208,203,213,209,183,158,152,165,115,117,79,186,223,219,220,221,223,221,221,221,220,219
7,187,186,186,187,186,186,186,184,183,181,182,181,180,179,178,179,177,176,175,174,173,172,171,169,168,167,166,165,189,188,188,188,186,186,186,186,185,184,183,183,181,181,181,181,179,178,176,175,174,174,173,171,171,168,167,166,191,190,189,189,188,187,187,187,187,187,185,184,184,184,183,181,181,180,178,178,176,175,174,172,173,170,169,168,192,192,191,192,191,190,189,189,188,187,187,186,186,186,184,183,182,181,180,180,178,177,175,174,174,172,170,169,193,193,193,193,192,191,191,191,190,189,188,187,187,188,186,185,184,182,181,181,180,179,178,177,175,174,172,171,195,195,194,194,193,193,193,192,191,191,190,189,188,188,188,186,186,185,183,181,181,180,180,177,175,175,173,172,196,196,195,195,195,194,194,194,193,192,192,190,189,189,189,188,187,186,185,184,182,181,181,179,178,176,175,173,199,198,197,197,197,196,196,194,192,192,195,196,195,192,191,190,188,188,187,186,185,183,182,180,180,178,176,175,199,200,198,197,198,198,195,202,186,161,181,170,182,191,195,195,194,189,186,186,186,184,182,181,181,180,177,176,199,199,200,199,199,197,197,216,194,201,190,132,118,133,153,164,175,190,194,190,187,186,184,183,183,182,180,178,201,200,201,201,201,198,207,209,205,217,189,145,132,119,116,126,127,135,157,180,187,189,188,186,183,182,181,179,202,201,202,202,201,200,210,204,210,208,188,184,186,150,113,112,118,118,117,117,130,142,159,177,188,183,182,181,204,203,203,204,200,205,212,212,215,204,197,202,191,166,138,116,115,116,110,114,115,116,114,142,188,185,183,181,204,205,204,205,202,209,211,215,212,202,201,198,185,178,167,140,113,115,109,110,118,118,116,112,129,151,181,183,205,203,205,203,205,213,216,210,204,200,194,189,190,191,176,150,120,111,117,113,123,117,112,108,106,115,176,185,206,205,206,203,206,214,218,211,203,197,183,185,194,191,174,145,125,118,106,130,188,176,162,154,151,165,186,185,207,207,207,200,210,215,215,204,199,196,187,187,192,178,159,139,123,121,115,125,196,196,196,195,194,192,186,185,208,207,207,199,215,220,212,195,196,197,189,186,178,154,147,137,120,125,130,120,179,197,191,191,190,189,188,186,209,209,201,200,221,217,207,196,195,191,184,179,157,149,148,134,127,123,122,149,194,195,193,192,191,189,188,187,209,211,195,206,221,211,201,202,193,186,180,166,153,155,143,133,110,104,147,192,198,195,195,194,191,190,189,187,210,207,191,215,214,204,200,199,183,181,172,160,160,153,135,129,129,172,201,199,196,196,196,194,191,189,188,187,213,195,197,217,210,201,200,191,184,177,166,163,156,144,126,167,205,204,200,198,198,198,195,194,192,191,189,187,209,187,208,210,206,201,194,190,179,167,166,157,146,129,144,204,204,201,202,201,200,198,197,195,193,191,191,189,199,195,209,204,204,203,186,176,164,161,158,147,132,138,195,207,203,202,201,201,200,198,198,197,194,192,191,189,192,205,204,203,205,192,169,160,153,148,143,132,146,197,209,204,204,203,203,200,199,199,199,196,195,193,191,190,191,205,208,212,187,171,160,148,140,133,125,137,201,210,205,206,205,203,203,201,200,200,199,197,195,193,192,191,196,197,211,200,167,172,153,135,129,125,131,187,212,206,207,206,205,204,203,203,201,200,198,197,196,194,192,191,195,195,201,187,171,177,152,129,122,131,196,213,209,208,207,206,205,205,204,203,201,200,199,198,197,194,193,192
5,162,165,168,171,174,177,179,181,182,182,183,184,185,184,185,185,185,185,185,186,186,185,184,184,185,185,186,185,164,167,170,173,176,179,181,183,184,185,185,186,186,186,186,186,187,187,187,188,187,187,188,187,187,187,187,187,166,168,171,175,179,181,183,185,186,187,187,188,188,188,181,176,188,190,190,190,190,191,191,191,190,189,189,189,168,170,174,177,180,183,185,187,188,189,189,191,192,193,167,149,184,192,192,192,193,193,194,194,192,191,191,190,170,173,176,179,182,185,187,187,189,191,192,194,200,187,154,154,187,194,194,194,195,195,195,196,195,194,193,192,171,174,178,181,185,187,187,171,178,192,194,202,203,158,147,180,194,195,196,196,194,187,188,197,198,197,195,194,173,176,179,183,186,190,189,148,159,192,197,210,186,139,169,195,197,199,202,198,186,157,164,196,200,199,198,197,174,177,181,184,187,194,183,135,165,195,198,196,155,149,190,198,201,207,198,174,161,149,173,199,201,201,201,199,175,179,182,185,189,199,166,137,183,197,189,162,134,171,196,196,200,190,159,147,169,184,197,202,202,202,202,201,176,179,184,186,191,201,159,147,192,194,173,140,133,186,192,188,172,144,148,178,198,203,204,204,204,203,203,203,177,180,184,187,193,202,160,151,194,190,168,140,138,185,181,173,134,137,182,202,205,204,205,206,205,205,205,204,178,181,184,188,194,201,165,150,190,189,167,135,139,169,168,157,126,164,201,206,206,205,206,206,206,207,206,205,179,182,186,189,193,199,186,156,173,184,163,125,127,143,153,142,139,188,206,207,208,207,202,200,207,208,207,207,179,183,187,191,193,196,200,177,155,166,150,126,112,120,134,133,159,201,206,205,209,207,191,172,197,209,208,207,179,182,186,189,192,192,201,201,166,144,128,116,107,109,115,130,170,200,203,204,204,192,186,164,177,205,209,208,179,182,186,189,192,193,200,213,189,145,112,100,99,100,107,131,160,186,195,182,166,159,173,173,158,184,207,208,180,184,187,189,192,194,199,213,200,150,107,94,93,94,103,127,143,153,160,144,149,174,183,170,147,173,205,208,181,185,188,190,192,195,198,210,204,153,104,90,90,91,99,114,121,122,140,162,185,191,181,153,157,196,208,209,182,185,188,191,193,196,198,208,207,158,106,88,89,90,95,102,104,128,178,200,198,186,158,139,186,209,210,210,180,184,187,190,193,195,196,205,209,165,111,88,88,91,92,96,98,143,199,205,193,169,131,150,203,211,211,211,154,159,165,168,172,176,179,195,209,172,119,90,87,89,94,108,119,141,176,193,187,150,126,175,208,209,209,210,106,108,111,113,116,120,125,172,211,180,128,93,88,90,97,118,139,150,151,177,179,136,124,160,173,176,178,179,99,98,98,99,100,100,105,165,211,187,138,98,88,94,108,130,150,156,148,161,157,118,105,111,114,116,117,117,99,99,100,103,104,103,108,166,209,190,145,104,91,97,125,149,160,152,132,128,125,110,108,107,108,108,110,113,98,98,99,102,103,104,108,162,206,192,152,115,99,98,132,155,157,137,112,102,105,110,112,110,113,121,141,161,98,98,99,100,101,102,107,161,202,190,156,125,106,97,126,149,144,119,100,99,105,109,109,116,141,172,191,193,98,99,100,100,100,101,110,172,205,188,158,129,106,93,111,128,122,105,98,104,109,110,123,162,198,205,196,184,97,98,99,100,100,100,113,181,206,185,154,122,100,89,98,108,104,98,102,108,111,119,166,209,211,199,186,170
4,188,188,188,188,188,188,187,187,186,184,184,182,183,185,182,182,181,178,177,177,176,176,175,175,173,171,169,169,189,189,189,189,189,189,187,188,188,186,186,187,187,186,183,180,181,183,177,177,177,176,176,175,174,173,170,170,191,191,191,190,189,189,189,189,188,188,178,166,169,181,184,160,134,152,185,181,182,181,175,176,175,173,171,171,192,192,191,190,190,190,190,190,189,190,182,176,163,145,146,158,149,115,152,170,148,161,179,175,176,174,173,172,193,192,191,192,192,192,191,191,184,184,181,174,170,164,128,108,141,144,115,110,117,97,151,182,174,175,174,173,194,193,193,193,192,193,192,188,177,177,166,139,103,148,134,88,111,143,115,86,110,102,107,183,175,176,175,174,195,194,194,194,194,193,193,189,189,179,170,147,99,115,136,93,95,126,100,84,122,118,92,168,180,176,175,174,194,194,194,194,193,193,195,189,152,126,149,164,114,110,142,133,119,118,91,94,129,120,90,164,182,175,175,174,196,195,195,195,194,194,193,195,164,113,81,170,149,123,142,159,160,122,120,120,120,137,104,162,182,176,175,175,196,195,196,195,195,195,196,188,148,106,64,115,149,109,112,127,151,128,122,125,120,131,100,131,188,177,176,175,196,196,197,198,196,195,197,178,145,130,120,92,93,101,92,87,106,133,125,120,117,115,106,103,184,179,177,176,198,197,198,199,197,195,197,182,170,151,120,96,84,99,96,100,92,104,116,112,109,125,123,90,165,183,178,177,199,199,199,199,197,197,197,187,171,142,115,92,90,96,100,117,111,90,78,116,151,146,130,93,137,187,177,176,199,199,200,200,199,197,197,189,159,129,105,88,89,99,117,120,119,118,127,136,149,151,139,112,110,186,177,176,201,201,201,200,200,197,197,188,164,142,114,94,99,107,117,130,128,145,166,165,145,166,158,125,95,177,181,177,202,201,201,201,201,199,196,192,173,147,120,97,96,107,128,141,146,153,166,173,166,151,146,121,84,168,183,177,200,200,201,201,202,200,196,188,176,155,129,100,96,111,131,144,158,164,172,168,157,147,125,104,86,178,182,178,200,200,201,201,202,200,194,183,181,164,139,114,100,101,129,153,164,176,177,166,149,135,118,80,120,190,179,179,201,201,201,201,202,202,193,179,181,169,145,125,109,99,130,164,173,181,175,160,141,128,105,78,170,186,180,180,201,201,201,201,202,202,192,176,174,167,147,129,114,106,131,172,174,174,166,150,132,120,87,115,193,181,182,181,201,201,202,202,203,204,194,174,170,169,157,135,121,115,139,173,169,164,154,139,124,109,80,165,189,183,181,180,201,202,203,203,203,204,197,172,171,173,161,139,130,118,144,168,164,159,145,125,115,86,107,193,185,185,183,181,202,202,203,203,203,204,203,180,174,176,165,146,132,116,142,163,159,152,134,114,102,76,166,192,186,186,184,182,203,204,203,203,204,204,205,185,181,179,163,151,136,117,132,156,148,138,118,106,74,123,198,186,186,185,184,182,203,203,203,204,204,204,203,190,186,175,163,154,141,124,126,140,133,120,107,84,91,189,190,187,186,185,183,183,204,204,204,204,204,205,202,192,187,173,161,150,139,129,121,127,124,109,95,70,168,195,188,188,187,186,184,183,205,205,204,204,204,205,198,191,183,174,165,158,149,142,127,120,118,105,75,121,200,189,190,188,186,186,185,183,205,205,205,205,204,204,190,191,185,175,167,165,152,145,130,118,112,94,79,175,196,192,190,188,187,186,184,183
7,197,197,199,200,200,200,200,200,200,200,199,198,198,197,196,195,195,194,192,193,192,191,190,194,167,88,79,89,198,199,200,201,201,201,202,201,200,201,200,199,199,199,201,197,196,195,194,192,194,190,189,194,185,156,137,129,199,200,202,204,204,204,204,203,203,203,201,200,201,194,180,189,192,189,178,179,175,178,197,186,165,127,189,187,202,203,204,205,204,205,205,204,203,202,203,204,205,196,177,181,198,194,177,173,168,171,201,171,156,150,206,158,203,204,205,205,205,205,205,205,208,212,218,218,212,193,183,187,174,166,168,157,158,147,145,164,178,159,154,137,204,205,206,207,207,207,201,205,216,222,221,214,207,200,198,194,174,145,168,176,164,160,151,151,138,158,153,180,205,206,209,207,219,221,208,204,209,212,209,206,205,204,203,190,173,162,168,174,166,165,160,145,127,152,151,158,206,207,209,211,234,226,216,204,205,211,210,208,207,204,201,190,171,159,149,142,136,137,131,127,123,125,139,188,208,210,208,223,237,227,208,189,193,206,209,206,199,186,174,159,146,151,146,148,154,162,165,164,173,181,187,181,210,211,209,234,232,223,197,182,196,190,183,176,165,158,152,141,137,158,214,208,207,208,207,206,203,200,201,170,211,208,220,239,230,218,205,200,193,180,180,184,182,177,173,170,177,129,138,200,206,203,203,201,199,198,198,197,211,209,236,236,232,228,229,216,188,187,190,189,184,172,168,165,160,135,79,135,213,204,205,203,201,200,198,198,208,220,241,236,234,234,235,217,175,176,182,178,173,164,159,152,142,125,90,111,212,205,206,205,203,201,200,198,211,236,239,237,235,233,227,204,179,172,153,137,135,149,159,165,173,152,99,164,212,205,207,205,204,204,201,199,228,241,239,237,235,227,218,204,189,174,158,149,163,190,189,174,178,161,158,218,206,207,207,206,205,204,202,199,237,240,240,237,230,222,213,195,181,188,177,170,185,183,172,164,162,136,158,219,208,208,207,207,206,204,203,201,239,240,238,235,227,213,192,184,199,203,182,174,176,169,164,157,148,111,175,218,211,211,208,207,207,205,204,202,239,238,236,232,219,202,201,210,216,205,188,167,153,140,130,117,113,145,211,213,213,212,210,208,206,206,204,202,238,234,228,222,214,212,215,212,207,194,170,149,122,155,134,146,187,215,215,214,213,212,211,210,207,206,204,203,233,228,221,218,216,219,212,197,194,184,167,135,161,220,219,222,222,216,216,214,212,211,212,211,208,207,206,203,224,219,220,218,213,211,204,193,192,173,134,158,224,219,218,217,217,218,217,215,214,212,212,212,210,208,207,205,217,210,213,212,204,199,194,187,170,133,145,222,220,219,218,217,218,217,217,215,215,214,213,211,210,209,205,202,215,211,206,199,189,186,180,167,131,138,217,222,218,219,218,218,217,217,215,215,213,213,212,211,207,209,209,197,213,206,196,183,171,168,154,124,141,214,224,221,220,220,219,218,217,217,216,215,215,214,211,209,215,189,131,168,197,184,172,157,148,134,115,151,219,225,221,222,222,222,219,218,218,217,216,215,214,212,214,216,197,121,79,84,177,166,158,151,132,131,179,227,224,222,222,222,221,221,220,219,219,218,216,216,220,220,204,156,104,85,82,78,172,169,154,132,131,219,230,222,222,222,222,222,222,222,220,218,219,220,222,213,189,151,107,85,83,87,82,80,189,179,155,122,143,232,221,223,222,222,222,223,221,221,220,218,213,206,172,127,92,74,79,82,78,79,80,80
23,227,228,229,231,232,232,232,233,235,236,238,239,240,236,234,235,235,236,237,235,236,236,237,237,237,237,234,233,228,229,230,232,232,233,236,236,238,239,238,236,236,240,253,255,255,233,231,239,239,237,237,238,238,238,236,235,229,230,232,233,235,236,237,238,240,238,241,250,255,255,255,255,255,243,229,230,191,218,242,240,240,239,239,237,230,232,234,234,237,238,237,240,241,238,255,255,255,255,255,231,188,192,187,169,169,236,241,241,241,241,241,241,232,234,234,236,238,239,240,242,237,248,255,255,230,231,202,173,206,207,198,207,238,243,241,242,243,243,242,242,233,233,235,238,240,241,243,244,235,255,255,255,208,166,185,226,248,248,249,249,244,243,243,245,244,243,242,243,235,235,238,240,241,242,244,245,238,255,255,255,219,189,251,249,255,255,234,244,243,246,245,247,246,245,245,244,236,237,240,241,242,244,245,244,244,255,255,255,208,196,255,255,255,255,199,239,255,247,246,248,249,248,248,247,238,241,241,242,243,245,248,240,255,255,255,255,227,255,255,255,255,254,181,176,206,247,250,249,249,249,248,247,240,241,242,244,245,247,249,240,255,255,255,255,255,255,255,255,255,243,247,202,129,202,255,247,248,250,249,248,241,243,245,246,247,247,248,245,255,255,255,255,255,255,255,255,255,255,255,241,153,163,255,251,253,252,251,251,243,244,247,248,249,249,245,255,255,255,255,255,255,255,255,255,255,255,244,209,155,139,215,255,252,255,253,253,244,244,248,248,250,244,255,255,255,255,255,255,255,255,255,255,255,245,247,229,151,136,158,255,255,255,255,254,246,247,250,250,250,244,255,255,255,255,255,255,255,255,255,255,255,253,255,239,160,129,167,255,255,255,255,255,247,248,250,253,252,250,255,255,255,255,255,255,255,255,255,255,248,243,238,207,162,128,205,255,255,255,255,255,248,249,250,254,255,253,255,255,255,255,255,255,255,255,227,229,219,209,196,194,160,146,244,255,255,255,255,255,250,251,251,254,255,254,255,255,255,255,255,255,255,248,199,166,150,155,188,193,154,175,255,255,255,255,255,255,251,253,254,255,255,255,255,255,255,255,255,255,255,233,205,171,80,122,194,192,150,210,255,255,255,255,255,255,252,254,255,255,255,255,255,255,255,255,255,255,255,255,202,127,100,155,184,170,144,240,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,199,128,122,170,154,142,165,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,202,160,118,135,143,145,182,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,249,200,170,117,130,156,147,200,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,249,203,176,138,141,163,147,228,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,208,179,148,151,165,153,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,205,177,156,155,154,180,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,196,175,165,160,143,237,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,239,211,188,179,171,148,176,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,212,189,177,166,158,255,255,255,255,255,255,255,255,255,255
4,198,200,201,202,202,204,205,205,207,207,207,207,208,207,207,208,208,207,206,205,206,207,207,207,207,206,204,203,198,200,202,203,203,206,207,207,208,208,208,208,209,209,209,208,209,208,207,208,207,206,207,208,208,208,207,206,200,202,204,204,203,207,208,208,209,209,208,209,210,211,210,208,208,211,209,208,209,209,209,210,210,209,209,209,202,203,205,207,207,209,210,209,210,210,211,208,207,209,209,215,213,211,210,213,212,212,211,212,212,211,210,209,203,205,207,207,209,210,210,210,211,210,208,214,239,243,217,214,250,236,189,194,212,210,218,214,214,213,211,209,205,207,207,208,209,210,211,213,210,219,235,234,213,247,226,156,198,226,178,132,209,202,185,217,214,213,212,212,208,208,209,209,209,212,214,210,223,255,255,219,145,188,208,141,147,201,143,146,247,200,129,193,220,213,214,214,208,210,211,213,213,213,215,209,245,252,252,218,140,163,220,133,108,211,156,211,246,190,119,191,224,216,217,216,209,211,212,215,215,214,217,210,248,239,223,236,187,132,220,145,131,216,227,254,236,220,140,197,225,218,218,216,210,213,214,216,216,215,218,211,249,239,209,208,167,83,155,232,220,222,234,220,223,241,188,180,227,217,217,219,211,214,215,217,218,216,217,220,255,249,220,184,143,105,95,193,191,196,206,180,234,254,232,168,212,224,220,221,212,215,216,219,220,220,215,229,255,241,197,168,157,140,128,131,131,157,154,133,250,255,248,193,171,231,220,220,215,216,217,219,219,224,218,235,255,242,203,164,139,134,142,148,129,159,132,167,252,253,243,208,149,216,225,222,216,217,219,220,221,223,218,241,255,245,207,168,146,138,147,159,166,194,206,255,252,242,220,189,144,191,233,223,217,217,219,222,223,224,219,245,255,246,218,183,152,142,153,176,181,214,253,255,250,235,203,167,138,193,232,223,219,221,222,224,223,226,220,246,255,248,228,199,158,143,152,176,207,246,255,254,246,226,190,155,137,214,229,224,219,222,223,224,224,226,221,246,255,250,237,206,175,158,157,187,241,255,255,254,237,211,176,141,152,232,226,227,219,222,223,224,226,227,221,245,255,255,244,215,201,173,180,208,250,255,255,247,225,194,162,130,180,239,226,228,222,222,223,224,227,228,223,241,255,255,249,223,214,200,191,212,239,255,249,233,209,178,146,127,213,236,228,229,222,223,225,225,226,227,228,237,255,255,255,235,222,211,191,192,228,255,231,217,197,161,134,144,236,231,231,229,223,225,226,229,232,233,229,228,254,254,250,236,223,204,195,190,213,244,213,195,181,151,119,186,242,230,231,230,225,225,229,216,196,180,163,151,152,151,137,127,122,125,133,143,169,197,195,187,169,138,122,228,238,234,234,233,225,230,184,160,149,143,137,133,123,111,100,88,79,76,61,56,71,79,93,118,144,114,161,244,234,235,233,232,226,231,165,147,151,145,140,136,122,114,100,90,86,79,63,63,69,64,53,47,60,82,222,242,235,235,234,233,225,237,185,141,146,141,137,132,114,103,96,86,84,73,65,65,70,61,54,54,52,39,121,247,235,236,236,236,227,237,202,144,146,137,138,126,114,100,94,85,81,72,65,66,67,58,51,48,50,53,27,190,249,235,239,238,229,236,212,150,142,141,138,126,110,102,92,83,78,73,65,65,63,56,48,47,49,46,53,219,244,237,238,238,229,235,219,146,141,145,131,120,108,100,89,81,75,72,66,64,60,54,48,45,53,30,145,255,235,239,239,239
15,114,114,106,52,124,77,0,46,56,56,59,63,68,75,91,105,115,123,127,130,136,142,148,153,157,160,162,164,119,120,104,55,132,67,0,51,56,57,60,65,69,75,94,107,118,125,128,131,138,145,151,155,159,162,165,167,124,125,100,61,141,58,0,56,55,57,62,66,69,76,95,109,121,127,130,134,141,147,153,159,161,164,167,169,127,132,95,69,149,45,0,58,55,59,62,67,69,79,98,109,120,130,133,135,143,148,154,160,163,165,169,171,129,137,88,78,152,33,0,61,56,59,64,69,69,80,98,111,123,131,134,138,145,152,158,161,164,168,170,173,132,142,81,90,152,24,8,64,58,62,65,70,71,80,99,113,125,132,136,140,147,154,159,162,167,171,173,176,136,146,75,101,149,4,7,56,51,54,60,66,70,82,100,115,127,134,137,142,150,156,161,165,170,172,175,177,139,150,73,131,153,84,81,105,96,92,86,79,74,83,100,115,127,137,139,143,151,155,162,166,170,174,176,178,143,146,93,170,132,131,128,156,140,137,139,144,125,109,96,110,122,125,127,147,152,156,163,166,171,176,177,179,144,146,75,128,79,86,86,122,102,97,136,154,128,102,109,142,151,128,94,92,158,159,163,169,173,176,179,182,146,146,64,140,98,26,56,84,79,73,116,136,111,84,125,156,145,142,152,75,93,166,167,170,175,179,181,183,152,143,63,163,117,0,50,63,61,65,69,98,98,122,170,144,129,160,164,138,72,80,173,174,175,180,183,186,158,138,65,170,101,0,60,65,63,61,73,115,119,122,164,123,120,155,141,157,110,54,80,178,181,178,185,188,162,133,72,179,90,0,63,64,62,60,162,147,91,78,88,82,126,136,137,135,114,91,43,74,171,188,185,189,169,126,79,187,76,0,67,64,59,72,173,161,109,67,27,37,129,154,142,95,83,81,67,41,55,166,194,189,177,120,91,191,64,0,70,63,62,48,132,184,145,127,103,110,123,126,113,66,54,63,57,56,38,57,187,192,183,111,103,191,51,0,74,61,61,107,159,164,157,127,105,108,100,96,104,77,53,58,54,50,49,28,100,208,185,103,115,189,39,0,77,51,138,164,145,122,144,111,63,82,78,77,80,63,53,59,57,52,48,47,37,137,188,96,124,188,29,6,77,55,150,125,98,85,104,75,49,54,51,50,51,53,61,76,75,52,45,51,48,46,189,89,138,185,16,13,78,58,83,78,54,80,77,50,45,63,47,35,70,74,84,97,80,45,42,51,52,48,191,85,150,180,7,20,76,62,60,61,61,99,155,112,75,71,68,52,62,75,84,83,65,44,45,53,56,54,189,81,164,176,0,27,76,61,62,64,67,65,88,91,57,36,82,107,41,50,82,74,56,50,52,61,56,53,189,78,181,175,0,34,75,60,60,63,64,67,72,90,105,118,131,109,86,80,66,58,54,57,62,61,56,54,186,78,193,167,0,41,76,60,60,61,63,65,74,97,116,130,147,132,42,66,93,96,84,73,54,39,32,28,178,82,204,156,0,48,74,61,60,61,62,63,73,95,113,125,149,102,32,27,108,81,35,12,0,0,0,0,170,85,211,144,0,53,70,58,58,59,60,62,73,94,113,127,149,77,46,47,0,2,4,0,0,0,0,0,159,94,218,130,0,58,68,56,55,57,59,60,70,93,112,131,136,61,40,46,22,0,11,0,0,0,0,0,151,105,225,118,0,63,67,55,54,54,57,58,69,91,109,133,115,45,43,39,38,0,0,0,0,0,0,0
10,39,77,79,83,89,94,102,113,122,125,129,133,137,142,145,147,151,151,154,155,155,155,155,156,157,157,155,154,45,79,80,84,90,95,105,114,123,128,132,136,141,144,147,150,152,164,152,156,158,157,158,158,157,158,158,156,50,81,80,85,91,95,106,117,126,131,135,140,145,148,151,150,160,198,132,144,164,159,161,160,159,159,159,158,57,81,82,87,91,97,108,120,129,133,138,143,147,150,154,153,166,196,142,126,169,162,164,163,163,162,162,160,62,82,83,88,92,98,110,122,132,133,138,145,150,154,158,157,164,198,167,120,168,165,165,166,165,164,164,162,67,82,84,88,93,100,113,125,131,150,147,144,156,158,160,161,162,206,195,121,162,171,169,167,166,167,166,165,73,83,85,89,93,101,114,126,135,201,145,100,146,161,163,166,164,203,196,127,152,177,171,171,170,170,169,167,77,82,86,89,95,103,116,127,136,168,130,96,92,172,147,138,171,198,204,133,138,181,173,173,172,173,171,170,78,81,85,91,96,103,117,130,139,144,137,113,100,165,116,112,173,201,214,140,124,184,176,176,175,174,174,173,81,83,86,91,96,104,119,131,141,145,151,142,136,177,114,71,166,199,182,130,102,181,180,179,179,177,176,175,83,85,87,91,95,104,121,133,143,147,151,165,150,180,129,70,128,184,127,106,86,173,183,180,181,180,178,178,84,85,87,92,96,105,122,135,145,148,152,162,156,182,151,118,88,113,99,103,82,165,189,183,184,182,180,180,86,86,88,92,96,106,123,137,146,150,154,165,177,146,172,161,133,79,73,92,82,143,196,185,186,185,184,182,86,86,87,91,97,108,124,137,148,152,152,186,192,122,130,200,169,138,92,81,77,108,198,188,189,188,186,185,86,87,87,92,97,109,125,139,150,153,160,181,203,163,79,161,202,166,138,76,65,86,195,192,192,190,189,187,87,86,87,93,96,108,126,141,148,162,206,151,184,154,93,147,215,179,149,82,58,87,195,195,193,193,191,190,87,86,88,93,96,110,127,142,148,170,225,156,132,168,128,202,203,169,149,95,65,64,178,202,195,195,194,193,87,87,88,93,96,111,128,143,152,159,202,176,118,198,182,216,206,165,142,102,72,59,173,205,198,198,195,195,87,87,88,93,96,111,129,143,154,153,184,180,125,201,148,192,209,175,131,98,79,64,183,205,199,200,198,196,88,87,89,93,96,112,130,145,154,155,180,198,167,164,92,208,204,163,127,96,81,73,192,205,201,202,201,198,88,87,88,91,96,114,130,145,156,160,161,212,212,155,129,224,195,158,123,92,83,79,198,207,203,202,201,199,88,87,88,92,96,113,130,147,157,160,164,189,231,219,199,216,185,149,117,94,85,87,206,207,205,204,202,201,88,86,87,91,96,113,131,146,156,160,166,180,227,224,199,185,168,137,115,102,83,105,214,205,206,205,204,202,88,86,85,89,95,113,130,145,155,158,167,168,161,217,176,151,163,148,131,118,80,125,217,204,206,206,203,202,86,84,85,87,94,112,130,145,154,157,171,158,47,200,159,169,175,174,163,133,73,126,217,204,207,206,205,203,85,82,83,86,92,111,130,145,155,156,174,149,12,164,209,187,161,168,155,110,57,51,211,209,208,207,206,203,81,79,80,84,90,108,128,144,154,157,174,123,16,100,173,156,134,136,110,58,14,81,221,207,208,207,206,204,87,83,83,84,90,108,126,142,151,156,168,106,30,59,59,52,44,45,32,16,0,129,222,204,207,207,206,204
10,151,153,156,159,159,161,164,164,166,166,167,167,169,172,175,176,173,174,174,174,175,176,176,174,173,174,175,175,155,158,160,163,164,166,167,169,169,170,171,172,174,175,176,173,176,177,177,178,178,178,178,178,176,176,176,176,160,163,166,168,171,172,173,174,175,175,176,178,178,177,204,147,149,185,180,182,182,182,182,181,179,177,178,177,165,169,173,173,175,177,177,179,179,179,182,182,182,181,218,147,125,193,183,185,185,186,185,185,183,182,181,180,170,173,177,178,181,182,181,184,184,184,187,187,185,187,223,157,117,194,187,189,190,189,187,186,187,186,185,184,176,178,182,185,186,186,187,188,192,189,189,190,190,191,227,170,119,195,193,192,192,192,191,190,191,189,187,186,180,182,187,191,189,189,191,197,187,197,199,199,197,195,231,183,123,196,199,197,196,196,195,194,193,192,190,189,184,186,191,193,193,193,196,209,143,117,185,177,194,202,233,196,121,190,204,203,201,202,200,199,196,196,196,195,188,191,194,196,199,199,203,184,106,60,93,101,138,213,231,201,117,186,210,206,206,205,204,202,201,200,200,197,191,195,198,200,203,202,205,206,126,67,88,85,97,215,246,212,117,188,215,208,210,210,208,206,205,204,203,200,193,199,202,204,205,207,207,215,191,118,164,111,79,200,216,191,114,193,218,213,213,214,213,212,210,208,207,206,198,202,206,209,208,208,214,229,191,102,216,173,99,131,122,140,108,195,223,217,218,218,216,215,214,212,211,209,201,205,209,210,214,209,210,243,201,68,171,207,134,76,79,106,98,198,225,220,221,221,220,218,216,215,212,212,204,208,212,213,224,237,219,240,214,97,92,226,173,102,83,112,90,197,227,222,224,224,222,222,220,218,218,216,207,211,214,216,222,249,215,224,220,144,52,192,215,139,91,105,86,201,232,225,226,226,225,224,223,222,220,219,209,214,217,219,218,207,184,167,255,205,68,109,230,174,110,86,86,195,236,226,228,228,228,228,226,226,222,220,213,217,219,221,223,211,181,141,217,162,56,84,193,192,148,89,79,199,240,231,231,231,230,230,228,227,225,224,216,219,221,221,226,231,178,165,150,68,81,139,174,191,152,91,73,205,242,234,234,234,234,233,230,227,227,228,218,220,224,226,227,242,217,170,142,107,186,238,197,165,139,93,80,215,241,235,235,235,235,233,232,230,229,229,220,223,226,228,229,253,221,194,194,177,250,251,205,149,127,94,103,238,237,237,239,236,236,233,233,233,232,231,223,226,226,228,231,246,235,218,209,194,255,236,194,148,118,90,127,250,237,238,238,238,237,236,235,235,234,233,223,226,228,232,232,243,237,210,208,201,249,219,181,143,114,85,136,253,240,241,241,241,239,237,237,236,236,234,226,229,231,235,233,236,238,226,226,196,227,210,169,135,107,82,143,255,240,243,243,242,242,242,240,237,236,235,227,230,231,234,235,232,230,231,225,189,222,209,161,127,106,85,157,255,242,244,245,244,243,241,241,239,238,238,228,233,233,234,237,236,231,226,208,174,205,201,160,131,110,88,190,254,243,245,244,243,243,243,242,241,241,240,228,232,233,233,236,234,243,216,183,176,201,176,173,154,107,104,236,251,248,249,248,245,246,245,244,243,242,242,229,231,233,235,238,232,250,233,210,200,195,183,192,165,91,148,255,249,251,250,250,250,249,248,247,246,244,243,226,229,233,234,234,222,248,241,223,208,185,188,182,148,84,208,255,248,250,251,249,248,250,250,248,247,244,243
21,151,151,151,152,153,154,154,153,152,153,154,149,153,152,149,148,148,146,146,144,142,141,139,135,135,133,128,126,154,155,155,156,158,159,158,157,157,154,166,144,102,156,154,152,152,150,149,148,147,144,142,141,138,137,132,130,157,159,159,161,162,161,161,162,163,160,163,162,89,120,166,157,157,156,153,153,151,148,147,144,146,141,137,135,161,162,163,163,164,164,164,166,166,166,163,165,120,73,167,162,162,161,158,157,155,152,154,131,103,148,141,139,164,165,166,167,167,167,169,169,169,168,167,170,143,50,143,171,163,163,161,162,159,154,161,125,57,142,147,142,168,168,169,170,170,171,171,172,170,170,171,171,162,75,107,179,164,166,163,164,162,157,171,107,62,152,149,144,171,171,173,172,173,175,175,174,173,172,174,176,179,108,77,174,170,168,167,166,163,166,161,84,81,165,149,149,173,175,176,177,177,177,177,177,177,176,178,178,188,125,59,159,177,169,169,170,165,176,152,65,113,166,152,151,177,178,179,180,180,180,179,180,179,180,181,178,195,147,66,135,184,172,172,170,172,174,131,61,147,164,156,153,180,181,183,183,183,184,184,183,183,183,183,179,189,173,97,110,187,173,175,174,176,156,92,75,171,161,160,155,184,185,185,185,186,186,185,185,186,186,185,185,180,178,125,90,181,178,177,179,178,147,51,120,175,164,162,159,185,186,187,186,187,188,187,186,186,187,187,188,159,132,122,75,170,184,178,185,177,122,61,171,171,166,164,161,186,187,189,189,188,187,188,189,188,188,190,186,182,170,146,92,153,196,181,186,159,79,105,186,169,169,166,164,188,190,191,191,190,190,191,191,192,191,195,180,162,196,183,144,99,155,171,155,125,55,154,183,174,171,169,167,192,194,193,194,194,193,193,193,194,194,195,186,134,113,174,147,124,75,112,124,72,71,187,177,177,172,171,168,193,193,194,194,195,195,194,194,195,194,196,188,137,36,44,157,148,57,38,69,39,97,195,177,177,175,173,170,194,194,194,195,196,196,196,197,197,196,199,195,150,104,52,97,131,57,49,37,22,114,198,180,179,177,175,172,196,196,196,197,199,198,197,197,197,199,193,171,172,160,115,52,113,87,62,75,27,127,198,182,183,180,176,174,198,197,198,200,201,201,201,202,201,202,180,179,180,165,145,118,73,103,79,90,20,101,201,183,184,180,178,175,198,200,200,202,203,203,203,203,204,199,181,169,121,131,164,143,99,51,82,65,20,46,197,185,185,182,180,177,198,200,200,201,201,202,202,202,204,200,183,169,117,41,86,140,93,14,45,92,50,7,125,199,183,184,180,176,199,200,201,202,201,202,202,203,203,199,184,164,123,83,25,75,60,24,31,101,87,15,69,199,179,180,183,186,199,202,203,203,204,203,203,204,205,202,177,165,154,103,44,72,101,34,66,124,101,15,94,202,186,190,159,102,198,200,201,203,203,202,203,204,204,202,172,165,166,96,70,102,193,139,118,122,64,8,161,191,149,88,26,0,209,208,210,211,211,209,209,209,210,208,177,172,146,121,67,105,187,172,128,94,49,18,103,53,21,0,0,6,153,157,163,169,174,178,182,186,191,194,173,156,140,113,54,97,165,141,109,81,48,10,2,3,13,0,0,10,69,70,70,70,74,76,75,77,79,73,115,157,144,104,64,96,160,137,94,56,25,3,4,0,10,0,0,13,80,80,80,80,80,84,84,81,85,75,98,162,140,106,79,78,139,118,71,34,4,0,0,0,0,0,0,10
15,86,83,81,81,83,85,85,86,89,98,110,122,130,139,145,149,151,154,158,164,168,172,176,179,180,183,186,187,86,83,81,82,82,84,86,87,90,100,111,123,131,140,146,150,151,155,159,165,169,173,177,180,181,184,187,189,86,83,82,81,82,84,87,87,90,100,112,123,131,140,146,151,152,155,160,165,170,174,178,181,183,186,188,190,86,83,82,81,83,84,86,87,91,101,114,123,132,141,147,151,153,156,161,166,171,176,180,182,185,187,189,191,86,83,82,82,82,93,113,101,97,103,114,124,133,141,148,152,154,156,161,167,172,176,180,183,186,187,189,192,86,84,84,82,80,152,158,130,123,119,116,120,131,139,141,142,149,155,162,168,173,176,180,184,186,188,190,193,87,85,84,82,81,147,141,121,118,116,107,118,122,124,122,118,123,129,141,156,169,177,182,185,187,188,191,194,87,85,83,83,81,99,107,94,97,92,89,111,107,107,104,115,125,120,120,125,136,145,156,171,187,191,193,194,87,84,83,82,83,84,85,84,87,85,87,95,91,90,91,116,122,119,119,124,129,124,111,112,141,189,194,195,87,85,83,81,83,85,85,86,92,102,112,114,115,112,105,111,109,105,104,121,138,131,116,111,95,139,195,196,88,85,82,81,82,83,84,85,92,105,116,128,135,143,146,134,109,98,120,140,145,138,119,122,110,89,155,200,87,84,81,81,82,83,84,84,92,105,118,128,140,155,153,135,121,124,170,144,145,130,135,138,124,102,95,169,87,83,81,81,82,83,84,85,92,105,116,136,174,161,131,115,111,110,160,123,115,138,162,135,145,128,91,94,86,83,80,80,80,81,82,83,91,105,114,158,187,133,109,111,112,92,112,95,93,175,145,129,157,142,107,75,85,82,80,79,79,80,81,82,90,105,113,154,167,114,109,126,132,123,103,84,101,158,109,118,158,150,117,85,85,82,80,78,78,79,80,81,92,105,113,144,153,101,116,135,144,134,106,94,102,112,107,126,143,136,112,85,83,81,79,78,78,79,80,81,92,105,113,151,183,124,117,135,144,130,99,92,101,105,116,125,118,100,91,80,82,81,79,78,77,79,80,81,91,104,113,155,172,178,147,119,110,97,85,92,100,103,111,119,111,83,75,75,82,81,78,77,76,78,79,80,89,104,113,180,175,169,172,134,96,63,61,83,99,108,117,126,110,81,74,74,81,78,76,76,75,77,78,79,88,103,114,149,164,175,168,152,125,77,36,42,66,111,117,117,98,79,77,78,78,76,74,73,72,73,74,76,86,99,112,124,135,153,147,145,127,111,62,41,56,105,124,111,94,87,88,88,118,114,111,107,104,101,100,101,107,114,120,127,135,138,126,119,130,150,102,53,67,84,121,130,118,108,99,93,123,120,118,117,116,116,119,119,116,115,113,113,117,120,121,119,126,169,122,78,84,77,92,108,108,100,91,84,113,112,111,110,110,111,112,111,111,111,106,103,107,109,111,112,108,127,111,109,112,107,106,98,88,85,81,76,115,115,116,114,114,115,116,116,115,116,115,114,116,117,116,117,118,117,117,118,120,120,127,126,104,86,79,76,116,118,119,118,117,116,117,117,117,118,118,118,118,118,116,118,119,119,119,120,117,117,128,139,128,106,91,95,117,119,119,119,118,117,118,119,119,119,119,119,119,118,117,118,119,119,119,119,118,117,117,130,162,125,121,126,117,118,118,117,117,117,118,118,118,118,118,118,119,118,118,119,120,120,119,119,118,118,117,123,196,187,165,156
10,54,89,76,16,40,64,70,75,82,91,106,113,120,127,131,135,136,138,140,144,147,150,150,152,155,156,157,158,61,93,70,15,45,66,71,77,83,92,107,115,121,127,131,135,137,139,143,145,148,150,152,153,155,157,158,159,72,95,62,14,50,66,72,77,84,95,108,116,124,129,133,135,143,139,131,146,149,151,153,154,157,158,160,162,84,97,54,17,55,67,73,78,85,98,111,117,125,131,135,136,158,139,108,145,150,151,154,156,157,158,161,163,92,97,44,22,58,68,74,80,86,100,112,119,126,132,135,137,162,146,104,143,152,153,156,157,159,161,163,163,95,98,36,27,61,69,75,81,88,102,113,121,127,132,136,138,161,150,101,134,154,155,157,159,160,162,164,164,99,98,29,30,62,69,75,81,89,104,115,123,128,133,137,140,156,157,111,121,156,156,158,160,163,163,165,166,103,94,22,37,64,70,76,83,91,107,118,122,129,134,139,141,150,159,119,104,155,157,159,161,164,165,166,167,107,89,18,42,66,71,76,83,93,129,117,98,125,135,138,142,147,156,127,93,145,159,160,162,165,166,167,168,110,81,16,47,67,72,87,89,97,139,113,83,103,136,140,143,146,165,141,90,128,160,161,163,165,167,168,170,113,72,17,52,66,87,133,93,85,124,126,93,81,129,141,144,146,179,155,98,111,161,161,164,166,167,169,171,114,61,18,57,68,86,113,79,66,96,138,114,79,109,143,145,147,175,149,105,98,160,162,165,167,169,170,172,113,51,21,60,69,75,86,82,71,83,137,117,84,76,115,142,150,163,142,109,89,155,164,165,169,171,171,173,114,41,26,65,70,76,82,88,88,86,136,122,87,68,70,104,142,144,136,115,86,147,166,167,170,172,173,174,112,33,32,68,72,77,83,90,101,112,155,143,104,75,62,65,95,112,125,114,86,141,167,168,170,172,174,175,107,26,36,68,72,77,84,89,107,140,171,156,123,85,65,53,67,86,108,108,83,131,168,169,171,173,174,175,100,20,41,70,73,78,83,95,156,168,166,163,138,104,76,64,68,87,97,98,76,116,169,170,172,174,175,175,92,18,47,71,74,79,83,108,181,176,165,165,151,124,89,71,70,80,90,88,71,113,170,170,172,175,176,176,81,18,52,72,74,79,84,106,182,172,167,172,154,129,90,70,65,72,83,78,68,135,171,171,173,175,176,178,69,17,56,72,75,80,85,97,151,130,171,174,149,122,87,71,66,74,83,75,87,161,171,173,174,175,177,178,55,18,60,73,76,81,86,93,122,114,185,165,139,120,93,77,69,75,79,72,122,169,171,173,174,175,177,178,43,22,64,73,76,81,87,94,148,165,188,166,136,116,97,81,74,74,75,79,152,170,172,173,175,176,178,179,31,25,66,73,75,81,87,101,177,186,185,158,135,106,96,84,77,71,69,106,167,171,173,174,175,176,179,180,23,30,68,73,75,81,85,113,191,187,176,148,130,99,91,86,79,69,73,146,169,171,174,175,176,178,180,181,15,34,70,73,76,81,86,113,191,187,166,137,120,95,86,84,79,66,101,165,170,172,173,175,176,178,180,181,11,38,71,74,77,82,86,115,193,180,161,131,115,94,84,80,74,63,130,169,170,171,172,175,177,179,180,181,11,44,73,74,77,83,87,117,182,169,163,139,124,100,82,74,65,69,147,168,170,171,173,175,178,180,181,182,12,47,73,74,77,83,88,108,159,163,168,156,134,104,80,68,59,80,157,168,170,173,174,176,178,180,181,182
3,114,117,121,123,126,128,130,131,132,131,132,131,130,130,130,129,127,125,127,123,122,122,120,117,116,114,111,110,117,121,124,126,129,131,133,134,135,135,135,133,133,133,132,130,138,127,106,128,124,123,122,121,118,116,115,113,119,123,127,129,132,134,136,137,137,137,137,137,136,136,135,130,155,131,52,121,130,126,124,123,121,119,117,115,121,125,129,131,134,136,138,139,140,139,138,138,139,138,138,133,154,129,46,102,136,128,127,125,123,121,119,116,124,128,131,134,136,138,140,142,142,140,141,141,141,141,141,135,152,132,51,97,140,129,130,129,126,123,121,119,126,130,132,136,138,140,142,145,145,143,143,143,144,142,141,137,154,160,72,86,141,133,132,129,128,125,122,120,127,131,134,137,140,143,145,147,147,147,146,146,146,145,144,138,159,169,77,68,141,135,133,132,130,127,124,122,129,133,137,140,144,146,147,149,149,149,149,149,148,147,147,142,162,162,69,61,141,135,136,134,131,129,126,124,131,135,139,143,146,149,150,151,151,151,151,150,150,150,149,142,171,169,78,62,143,138,137,136,133,130,128,125,134,138,142,146,149,151,153,153,154,154,154,153,151,150,148,145,140,133,76,58,142,141,139,138,135,132,129,127,136,141,146,148,150,154,155,156,157,156,156,155,153,150,163,168,88,46,35,52,149,140,142,139,137,133,131,129,138,143,148,150,154,156,158,158,159,159,158,160,168,152,102,114,143,87,16,78,161,148,143,141,139,136,133,130,141,147,150,153,156,158,161,161,163,160,164,128,148,152,75,44,170,99,55,58,95,119,146,142,140,138,134,131,142,148,152,155,158,160,163,165,163,169,177,114,62,133,112,56,125,101,76,56,84,60,115,151,140,138,137,133,145,150,154,157,159,162,163,165,168,191,173,149,86,98,127,52,75,119,102,75,91,41,95,156,142,141,137,135,148,152,156,159,161,164,167,164,183,173,165,161,96,67,109,50,71,83,54,76,69,29,89,159,144,143,139,136,149,154,157,162,164,165,169,166,197,181,138,144,99,46,87,47,75,136,40,91,103,35,77,161,146,146,141,139,150,156,159,164,165,167,170,171,180,160,119,130,74,30,84,29,71,176,57,68,118,40,49,158,147,147,143,140,151,156,161,164,166,170,172,171,178,185,159,126,68,55,79,48,44,116,64,72,88,34,42,156,150,149,145,143,153,158,162,164,168,170,173,173,187,192,175,129,73,56,91,75,116,158,116,96,57,18,96,164,150,151,148,146,151,159,162,165,170,171,174,173,184,196,184,135,90,66,73,139,166,138,92,70,50,27,152,158,154,152,149,148,150,157,162,166,170,171,173,174,179,194,178,132,127,77,103,182,150,105,80,65,39,75,169,153,154,151,148,147,151,159,164,166,171,173,175,175,181,185,171,146,133,95,97,143,130,93,75,51,29,137,164,155,155,151,147,145,152,160,165,168,172,175,175,188,81,135,176,148,131,103,72,96,91,71,53,30,104,171,159,157,154,152,155,156,153,159,163,168,170,172,179,168,17,33,137,144,130,81,50,50,55,55,31,101,172,161,166,169,168,159,127,74,157,165,169,173,176,177,193,103,16,19,28,77,87,41,38,34,40,22,16,168,176,172,147,109,92,56,11,0,107,108,112,114,114,115,113,43,23,19,10,6,15,38,36,17,13,0,0,38,85,49,7,0,0,0,0,0,71,71,73,73,71,73,49,25,32,13,12,7,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,184,186,186,187,188,189,190,190,191,191,189,190,190,190,191,191,190,190,188,186,184,182,181,180,178,178,176,174,187,188,188,189,190,191,193,193,193,193,193,191,192,192,193,192,191,190,189,188,186,184,183,183,181,179,178,176,188,190,190,191,194,194,195,195,195,199,203,175,192,195,195,195,194,193,191,190,189,187,186,185,183,181,180,178,190,191,192,193,195,196,196,197,195,210,209,155,191,197,197,197,195,194,193,192,192,190,188,187,185,184,183,181,192,193,194,195,197,198,198,199,197,217,207,153,196,199,199,200,197,196,194,193,194,191,190,189,187,187,185,184,194,195,197,198,199,199,199,201,199,224,213,159,203,213,192,193,206,192,189,195,194,198,189,182,191,188,187,186,197,198,199,200,200,201,201,202,201,230,211,160,222,236,192,172,220,189,162,193,189,207,187,162,192,191,189,187,198,200,201,201,202,202,202,203,201,232,214,165,237,245,203,164,215,194,150,190,188,200,191,152,190,193,190,188,199,201,201,202,203,204,205,206,204,233,230,196,243,250,210,162,207,197,142,191,186,175,197,159,169,192,192,190,201,202,203,204,206,207,207,207,207,237,232,231,239,241,210,156,194,191,139,195,176,142,186,181,149,175,195,192,202,202,204,206,207,207,207,207,214,240,230,230,233,229,203,150,192,183,140,190,159,132,176,197,147,171,196,193,203,204,205,207,208,209,210,207,225,240,210,208,209,215,212,152,189,177,128,165,147,136,196,205,150,184,197,196,204,206,207,208,209,211,210,209,234,243,195,183,180,189,211,155,191,177,120,163,140,157,215,195,151,195,199,197,206,208,209,210,211,211,212,211,239,245,205,169,170,175,184,177,194,173,143,174,153,196,214,171,155,201,200,198,207,209,210,211,212,212,214,214,241,248,214,176,157,170,189,207,194,190,204,210,202,200,188,152,160,192,187,169,207,209,210,211,212,213,215,214,241,250,222,189,160,168,197,213,220,234,239,227,203,176,158,135,128,129,121,108,207,208,210,211,211,213,214,214,240,252,231,204,173,167,200,229,245,245,234,218,190,158,135,118,115,111,105,100,208,209,211,213,214,215,215,214,238,254,242,219,194,180,205,238,247,238,223,201,171,141,121,112,108,101,98,97,210,211,211,214,216,215,216,215,233,255,248,228,208,188,208,239,241,227,207,179,147,122,108,100,85,74,63,53,210,213,214,214,216,216,217,217,226,253,250,231,208,192,204,231,228,209,187,154,125,106,96,87,74,62,57,46,211,213,214,214,216,218,220,219,224,252,242,223,202,189,199,215,207,186,165,131,109,102,96,82,65,53,53,49,212,214,215,216,218,219,221,191,187,246,217,206,190,183,196,199,182,159,133,105,95,96,97,92,72,51,45,47,184,186,187,189,192,195,199,134,116,222,210,203,189,186,190,182,159,132,101,75,78,87,86,93,87,60,42,41,124,123,122,123,123,126,132,117,79,158,203,202,193,184,174,164,137,106,60,46,57,75,74,83,94,74,48,38,118,117,120,119,118,118,122,128,111,121,161,180,180,166,153,138,110,74,25,28,54,68,66,71,89,83,58,39,122,121,123,124,124,124,128,128,112,114,118,127,141,139,126,118,86,42,18,48,78,81,57,61,79,87,70,46,125,122,124,125,125,125,131,129,111,108,106,101,99,100,99,96,70,30,35,69,88,81,49,54,70,85,78,58,125,122,125,127,127,128,134,126,114,110,106,101,92,84,80,76,68,56,56,60,62,52,37,45,62,78,81,66
7,164,165,165,168,170,170,169,170,170,171,171,171,171,171,171,171,171,171,171,171,169,168,167,166,164,163,162,160,165,167,168,169,170,171,171,173,173,172,172,172,172,172,173,174,173,172,172,173,171,170,169,167,164,164,165,163,166,168,170,172,173,174,173,173,174,175,174,175,176,176,176,175,174,175,175,174,174,172,170,169,168,167,165,164,168,170,172,173,174,175,176,175,175,176,177,177,177,178,177,176,176,176,177,176,174,174,172,170,170,168,167,165,171,172,174,174,175,177,177,177,177,178,178,178,178,178,178,178,177,178,178,177,177,176,174,173,172,171,169,169,172,174,175,176,177,178,178,179,179,179,178,180,179,180,180,179,179,179,179,178,178,176,176,176,174,172,170,169,174,175,175,177,179,180,180,180,181,180,180,181,181,181,181,181,181,181,180,180,180,178,177,177,176,174,173,171,175,177,177,179,180,181,182,182,184,186,185,183,184,184,184,183,183,183,183,182,182,181,178,177,178,177,174,173,176,178,179,180,180,182,186,189,178,160,174,181,181,179,182,184,185,183,182,181,179,178,184,180,178,177,176,175,177,178,180,184,188,190,192,195,187,155,137,157,170,168,171,171,169,171,172,173,169,181,197,167,181,178,177,176,180,186,190,193,193,190,187,185,184,156,125,138,154,162,162,156,152,156,152,160,153,152,141,164,182,178,178,178,194,195,194,190,185,178,170,170,177,160,129,120,128,145,155,163,162,153,154,158,149,149,154,156,179,176,178,179,193,190,184,179,176,170,169,175,185,172,132,122,121,117,122,126,128,130,138,142,142,144,154,147,154,152,180,179,189,180,171,167,163,165,169,177,173,153,131,125,134,136,129,109,113,159,155,152,146,145,147,150,150,172,184,182,187,177,166,161,163,162,158,167,174,154,121,105,120,137,139,133,115,174,199,192,192,191,190,188,190,188,183,183,188,180,172,168,168,168,164,165,179,165,131,117,123,122,121,120,112,180,193,189,191,190,189,188,186,187,185,186,182,180,178,172,169,168,167,170,179,165,137,135,142,132,133,105,150,202,192,193,192,192,191,190,189,188,190,173,174,176,178,176,172,165,163,165,158,149,134,132,138,135,124,126,198,195,193,195,193,193,192,191,190,194,150,103,140,163,179,174,165,160,154,145,131,117,103,79,88,119,107,159,204,194,194,195,194,193,193,192,197,179,101,105,54,80,124,155,144,130,130,134,154,170,109,70,87,106,129,193,196,196,195,194,193,192,192,194,191,138,96,92,37,31,39,52,109,174,184,196,200,206,185,120,140,161,191,199,197,196,196,193,193,198,194,191,135,91,83,65,32,32,28,31,176,204,197,197,196,196,198,198,199,203,198,198,198,197,196,199,200,163,124,105,86,76,66,54,26,26,18,50,200,194,195,197,198,198,198,197,196,196,198,199,199,196,199,179,129,95,94,86,78,65,55,49,28,28,17,41,198,195,195,197,198,198,198,199,198,198,199,198,197,207,181,103,65,67,83,74,69,69,61,46,34,31,6,38,205,200,201,201,201,203,203,204,204,204,203,204,206,178,119,97,68,47,62,68,61,64,66,50,34,19,2,25,162,168,169,172,174,176,178,179,180,182,182,186,173,97,70,99,64,40,43,59,55,56,66,58,21,6,6,31,100,98,99,101,103,106,108,109,110,111,109,120,119,78,62,92,61,35,40,48,49,51,60,62,10,9,7,50,112,103,104,105,105,104,104,105,105,102,106,115,105,69,56,84,57,35,36,43,45,47,54,60
7,171,176,183,187,190,192,193,193,193,195,196,197,197,196,196,195,195,195,194,193,193,190,196,171,198,215,208,216,178,184,189,192,195,196,198,199,200,201,202,202,201,200,198,197,196,196,195,194,193,192,191,191,207,145,221,215,187,191,195,199,202,203,205,206,206,207,207,207,204,205,203,204,203,200,199,198,196,196,192,197,185,155,226,215,194,198,202,207,210,209,212,213,212,213,213,213,211,210,209,208,206,206,204,203,201,199,198,193,204,227,207,215,200,205,210,213,216,218,219,219,220,219,218,218,217,216,216,214,213,212,211,208,207,204,200,199,201,181,153,217,205,212,217,220,222,224,225,225,225,224,225,226,224,224,223,222,221,219,217,214,213,211,207,204,204,191,182,220,211,218,223,226,228,231,231,231,231,230,232,231,231,230,228,226,227,225,224,222,219,216,213,209,208,203,204,222,217,222,229,231,234,235,236,237,236,235,235,236,235,233,233,231,231,231,228,226,224,221,219,216,213,210,214,233,223,228,233,236,240,241,244,247,250,247,246,245,244,244,243,243,241,237,234,230,228,226,223,222,218,214,215,237,230,235,239,243,248,245,237,210,189,207,216,221,220,217,213,209,222,231,238,241,240,236,230,225,223,216,218,239,233,240,246,246,243,240,227,178,110,134,173,193,183,183,181,169,157,167,177,175,198,210,227,234,226,231,229,240,240,245,242,238,238,231,220,178,139,140,148,165,163,168,171,160,132,149,156,147,161,165,202,200,239,185,188,247,238,236,237,244,242,236,222,173,126,143,148,157,152,155,166,155,133,127,133,146,154,161,194,169,214,56,135,255,243,244,244,251,247,238,214,169,103,115,139,163,174,165,170,151,150,140,152,166,143,145,147,167,177,82,75,178,250,246,245,251,242,233,213,149,108,127,134,147,146,147,149,149,141,130,146,163,150,151,150,176,197,160,73,54,248,250,246,248,249,239,236,180,98,96,91,77,122,147,132,127,126,135,144,151,141,137,134,133,157,124,74,61,254,247,243,251,239,228,247,193,94,83,91,74,113,195,255,255,255,255,231,153,74,77,76,72,74,65,63,64,244,235,233,236,217,220,221,165,105,94,98,99,84,64,222,245,163,124,75,47,46,39,38,57,54,56,62,61,236,235,226,219,212,209,208,163,99,82,99,115,109,89,75,54,34,41,60,58,46,50,44,44,48,45,59,62,228,223,215,210,210,210,225,180,93,57,40,87,99,82,79,59,49,35,53,67,47,34,47,45,43,52,46,17,211,205,213,211,210,208,206,173,94,66,53,61,91,104,109,61,47,47,29,56,62,39,27,39,43,60,14,0,199,191,191,185,180,177,158,124,96,82,73,56,27,55,65,26,28,60,36,30,52,60,35,23,31,31,24,15,187,168,148,139,134,131,127,102,89,71,37,68,19,9,42,47,17,45,52,31,36,50,53,26,26,23,26,23,167,159,131,124,112,138,145,70,36,53,6,52,49,1,28,54,33,22,51,47,32,33,50,42,18,24,23,23,128,132,138,152,203,237,88,64,35,44,18,24,60,12,7,45,50,19,36,51,37,31,30,44,22,17,24,21,119,255,255,255,255,127,47,72,50,21,31,8,47,37,0,31,54,31,27,39,43,30,22,30,35,9,18,22,55,199,185,200,145,50,63,45,32,37,21,5,21,52,0,9,47,42,31,33,34,31,21,20,33,17,7,17,30,136,133,113,76,55,49,46,12,38,27,0,4,51,16,0,34,48,33,33,29,28,19,17,22,27,6,9
4,201,202,202,202,202,203,203,203,203,202,203,203,202,202,202,201,200,197,198,198,197,196,194,193,192,191,191,189,204,204,205,205,205,206,205,205,205,204,204,205,207,204,203,203,203,205,202,199,198,196,197,196,194,193,193,191,208,208,208,208,208,208,208,208,208,208,207,205,203,209,208,199,173,163,200,205,204,203,198,198,198,197,195,194,210,210,209,210,210,209,209,209,209,208,208,193,168,170,207,202,171,129,152,203,167,177,203,200,199,198,197,196,212,212,211,212,212,211,211,211,211,211,215,217,192,161,149,197,190,153,114,167,160,117,166,210,198,201,199,198,213,212,214,214,214,214,213,214,213,207,203,206,214,190,143,143,196,171,116,143,171,122,113,209,202,203,201,200,215,215,215,215,216,216,216,217,208,196,194,150,172,189,130,111,193,170,116,124,173,138,101,203,205,203,202,201,217,217,217,217,217,217,217,217,212,208,199,150,127,169,121,104,172,140,95,144,178,145,113,211,208,206,205,205,218,218,218,218,219,219,219,219,204,162,190,166,121,149,154,103,140,126,83,152,151,108,130,220,207,209,208,206,220,219,220,220,220,220,220,219,217,162,147,192,152,130,181,111,118,145,140,145,111,72,153,223,209,211,209,208,221,220,220,221,221,220,219,222,206,145,119,181,156,173,179,159,162,161,189,158,100,76,191,218,211,212,210,209,221,221,222,222,221,221,221,223,206,181,177,148,99,190,180,168,178,165,176,149,108,100,217,215,214,214,212,210,222,222,222,222,223,223,222,222,218,203,164,127,93,123,155,144,147,144,138,137,127,98,189,224,214,214,213,212,223,223,223,223,224,223,222,221,219,190,149,115,105,103,121,132,132,127,118,149,142,114,116,222,216,215,215,214,224,224,224,224,224,225,223,221,211,172,137,112,109,128,133,163,172,167,148,156,157,148,97,168,229,214,216,215,225,226,226,226,226,226,224,218,211,184,150,120,121,129,153,193,192,207,193,167,196,169,115,112,225,217,217,215,227,227,227,227,227,227,226,216,212,187,152,117,117,138,172,204,205,216,220,200,184,168,112,106,224,219,218,216,227,228,228,227,227,228,227,210,210,197,160,125,124,140,176,211,213,220,211,195,174,141,93,141,232,218,219,217,228,227,228,228,228,229,229,205,209,205,167,139,133,136,185,218,222,221,202,182,163,124,85,193,229,220,220,219,228,228,229,229,229,229,232,205,203,207,178,146,135,141,192,223,222,213,193,172,155,106,107,228,222,222,221,220,229,229,229,230,230,229,232,209,190,197,178,150,136,147,202,220,211,203,183,158,141,90,158,236,220,223,221,221,228,228,229,230,229,229,232,223,186,196,184,153,146,153,207,211,201,191,169,145,120,90,211,231,224,223,222,222,227,228,228,229,229,229,229,231,199,195,190,167,165,149,202,201,198,177,154,134,92,132,237,223,225,223,221,221,228,228,228,229,229,228,228,233,214,190,190,180,165,141,184,191,188,164,135,112,84,204,229,222,222,222,221,220,228,228,229,229,229,230,229,232,222,196,187,173,159,142,164,173,161,137,113,78,149,238,223,225,224,223,222,221,228,229,229,230,229,230,230,233,224,203,190,172,155,144,153,162,140,114,89,94,224,229,227,226,224,223,222,221,228,230,230,230,230,230,231,233,214,204,192,176,163,156,150,157,143,112,76,158,241,225,228,226,224,223,222,223,228,228,229,229,230,229,231,230,199,203,195,187,184,171,158,149,135,103,85,202,234,228,227,226,225,224,223,215
1,118,122,124,127,131,136,138,139,140,141,143,144,146,148,148,149,150,150,151,151,152,152,152,152,150,150,151,152,122,125,128,131,134,138,141,143,144,145,147,147,149,149,150,152,158,155,131,154,155,154,153,152,152,152,153,154,126,130,132,134,138,141,145,147,148,150,151,152,152,162,135,147,172,157,97,153,157,157,156,156,155,155,154,155,130,134,136,139,143,146,149,152,153,154,156,156,160,178,117,135,173,144,95,153,143,148,160,160,160,159,158,158,134,137,140,144,148,150,153,156,157,158,159,160,167,176,108,140,175,134,101,161,139,113,163,164,163,162,161,160,137,141,145,148,152,155,158,160,161,162,167,151,157,168,109,145,176,128,109,171,138,101,166,166,166,165,165,163,142,146,148,152,156,159,163,166,167,167,183,139,130,150,113,151,181,134,122,178,132,100,170,170,169,169,168,167,146,150,152,156,160,164,168,170,172,173,189,124,129,138,117,149,174,131,125,182,133,102,173,174,173,172,172,170,149,153,156,160,165,167,171,174,176,177,181,113,131,126,112,131,167,125,135,185,139,107,178,179,177,176,175,174,153,156,160,163,168,171,173,178,179,181,186,121,133,130,115,132,176,129,150,181,138,113,183,184,182,180,179,178,155,159,163,166,172,174,177,182,182,185,186,121,125,143,122,132,176,127,162,185,139,120,185,186,185,184,183,182,158,162,166,170,175,177,181,184,185,191,194,134,117,137,111,125,158,115,173,187,141,131,189,188,188,188,187,186,161,165,168,173,178,181,183,187,188,194,201,140,108,124,111,131,146,129,177,174,133,143,192,191,192,191,189,188,164,168,171,175,181,184,186,189,190,196,200,146,133,160,152,164,167,157,148,160,125,153,194,194,195,194,192,191,166,170,174,178,182,185,189,192,193,203,209,169,140,139,174,190,197,168,117,132,109,161,197,198,197,196,195,194,168,171,176,180,184,187,191,195,195,211,200,157,127,101,124,151,170,184,147,92,88,174,200,200,199,199,197,196,170,174,178,183,187,189,193,197,197,216,195,152,115,104,110,130,169,206,182,115,83,188,203,203,201,200,200,199,172,176,181,185,188,192,195,199,199,221,200,152,122,122,129,161,186,206,201,145,92,189,206,205,204,203,202,202,175,178,182,186,190,194,198,200,203,221,198,151,123,132,140,193,207,193,186,147,99,171,208,207,206,205,204,204,177,181,184,189,193,196,199,201,204,220,198,157,132,144,155,215,214,187,155,122,92,172,209,209,208,207,206,205,178,182,186,191,195,198,200,203,205,218,200,161,144,141,171,221,211,173,140,103,88,186,211,210,210,209,208,207,180,184,188,192,197,199,202,205,206,213,197,162,150,138,171,218,196,159,126,97,112,209,213,212,212,210,210,211,181,185,189,193,196,199,204,207,208,209,197,169,162,144,161,207,181,145,111,89,152,215,214,213,214,212,212,212,183,186,191,194,198,201,204,207,208,206,194,173,166,149,158,197,169,134,101,90,189,215,215,215,215,214,213,214,184,187,192,195,199,202,205,208,210,210,200,177,165,141,152,183,154,123,94,106,212,217,217,217,217,217,216,216,183,187,193,197,200,203,206,209,209,212,204,179,160,129,143,157,130,111,91,147,219,220,219,218,217,217,217,216,182,187,191,196,200,202,204,208,204,217,207,193,159,132,143,143,123,102,103,200,219,220,220,218,219,218,217,217,183,187,191,195,200,204,206,206,204,217,208,196,167,140,145,133,114,90,159,217,220,220,220,218,219,218,217,217
6,152,153,152,154,155,155,157,157,158,158,157,157,156,157,156,156,157,157,158,157,158,157,156,156,154,152,153,154,158,158,158,158,159,158,158,158,159,159,159,159,159,159,160,159,161,160,159,159,160,159,158,157,156,156,156,155,160,160,160,161,161,162,162,162,162,163,163,163,163,163,162,164,164,163,162,162,163,163,160,159,161,160,160,152,162,163,163,165,164,165,164,164,165,166,166,165,164,166,166,167,166,165,164,165,164,165,162,162,165,163,165,140,165,165,166,166,166,167,167,167,169,169,168,168,172,169,167,168,168,167,170,169,168,165,170,167,165,165,166,158,169,168,170,169,169,171,170,171,171,172,174,159,147,173,172,173,170,170,165,168,159,169,206,165,162,169,167,163,172,172,173,173,172,173,175,175,175,172,188,146,81,152,165,162,171,171,158,163,165,154,174,137,163,172,169,169,173,174,176,176,174,176,178,179,178,180,192,148,150,169,162,155,170,166,156,140,130,113,110,149,174,171,172,171,176,177,179,178,179,180,182,182,178,178,181,186,191,177,153,146,121,110,100,96,107,140,172,179,174,175,174,172,179,180,181,181,181,182,176,171,174,178,184,182,163,141,121,97,97,113,137,167,181,185,182,177,177,176,175,174,181,182,183,183,184,183,169,165,166,167,155,125,98,84,96,150,179,184,188,184,182,182,182,180,179,178,178,176,184,184,184,183,191,191,186,185,148,117,118,105,84,97,163,189,192,189,184,186,185,184,185,183,181,181,179,179,186,186,186,185,197,198,207,173,117,108,109,123,131,130,120,120,140,170,192,187,187,186,187,186,184,183,182,181,188,188,187,191,203,203,212,159,129,142,117,110,125,134,123,119,114,91,169,195,188,188,189,188,187,185,184,184,189,190,189,200,212,209,209,199,201,183,128,101,113,121,111,105,110,77,151,203,191,191,190,189,187,187,186,185,191,191,192,206,214,208,208,211,214,190,134,97,111,120,122,112,102,83,145,203,191,192,192,193,190,189,189,188,193,193,195,204,209,209,208,208,203,196,172,138,107,93,114,119,115,97,92,198,194,193,193,193,193,193,192,191,194,194,193,209,207,211,207,208,206,208,210,178,118,89,107,114,108,88,105,203,196,195,194,195,195,195,193,193,195,193,194,209,212,213,211,211,207,208,212,172,121,102,102,106,101,87,96,190,201,197,196,196,197,195,194,194,198,192,202,210,213,215,219,211,205,209,195,150,114,108,103,103,100,97,70,164,208,198,198,197,197,195,196,196,200,184,202,212,212,217,214,201,201,194,167,135,118,110,92,100,101,92,100,195,203,200,200,199,198,198,197,197,196,183,205,211,213,215,199,193,193,174,148,127,130,135,94,77,78,85,184,207,200,202,202,201,200,200,198,198,188,191,212,208,207,200,187,185,185,169,148,141,137,140,73,52,82,173,211,202,204,203,203,200,201,200,199,199,181,197,209,204,199,192,183,180,176,167,157,147,122,97,130,160,199,212,207,206,204,204,204,202,202,202,201,200,180,201,206,194,190,182,186,186,170,158,153,129,89,127,223,212,209,207,208,207,206,205,205,205,204,203,203,201,187,200,199,191,187,174,180,179,162,151,135,109,83,190,212,208,208,207,207,208,208,207,206,206,205,204,203,202,191,196,189,187,180,167,169,163,152,137,115,87,135,218,208,210,210,209,208,209,208,207,208,207,207,207,204,203,191,193,194,188,174,165,160,153,132,111,92,95,201,212,208,210,210,210,209,209,209,208,209,208,207,207,207,205
8,171,173,171,173,174,174,175,174,174,175,175,173,176,176,175,175,176,175,174,173,171,171,171,171,169,168,169,168,172,173,173,176,177,176,176,177,176,176,176,176,158,166,180,177,178,178,176,177,175,174,173,172,170,169,170,168,176,175,176,177,178,177,177,178,177,178,174,191,138,119,187,177,180,179,178,178,177,177,176,174,175,172,171,171,176,177,178,179,179,180,178,178,179,178,179,194,115,117,191,179,180,182,181,180,179,179,179,176,176,175,174,173,178,179,180,179,181,182,181,180,181,178,190,189,83,136,191,180,182,184,183,180,180,180,179,178,177,176,175,173,179,180,180,180,183,184,182,183,184,179,198,186,74,151,191,183,184,184,184,183,183,181,179,180,179,178,177,176,180,181,182,183,184,184,184,185,186,180,205,169,79,171,191,184,185,185,184,184,184,184,182,183,179,179,179,179,183,183,183,185,184,184,184,185,185,184,208,137,87,185,185,187,190,185,191,189,181,184,184,186,184,180,180,180,183,184,185,186,186,186,185,185,184,191,203,133,89,199,181,137,165,189,155,171,194,187,190,177,177,184,182,183,184,185,186,186,186,186,187,188,183,198,201,144,99,221,194,136,111,186,122,104,135,139,163,153,98,178,185,182,185,185,186,186,186,186,186,189,183,204,199,141,141,236,204,167,96,159,148,95,78,116,144,147,51,170,189,182,185,185,187,187,187,187,188,188,186,206,193,141,174,234,218,182,90,128,152,97,151,126,159,163,57,169,189,182,184,185,187,187,187,187,188,187,195,194,176,171,174,205,225,180,96,106,136,112,172,122,164,179,96,149,197,183,183,184,186,186,187,187,189,188,202,164,170,182,169,161,224,185,105,78,116,139,158,110,156,180,141,103,192,187,184,185,186,186,187,187,188,189,204,151,144,173,150,153,208,195,110,53,95,149,146,82,134,184,134,67,175,192,185,185,186,186,187,188,186,191,213,149,110,139,131,120,187,194,101,43,84,150,133,67,152,168,93,90,194,185,185,186,187,187,188,189,186,197,225,162,96,111,101,95,142,188,133,41,73,163,121,83,163,122,60,152,196,185,186,187,187,187,187,189,188,208,224,185,94,100,99,96,125,174,153,42,68,145,94,135,129,70,86,195,186,186,186,186,186,187,188,190,191,211,220,199,110,79,100,92,116,162,105,71,149,159,140,168,109,46,148,197,187,189,186,185,186,187,187,188,189,215,218,209,116,85,112,95,140,189,168,182,178,160,133,137,104,47,180,194,189,190,185,188,191,194,196,196,193,215,219,204,115,98,112,113,182,205,204,196,172,159,119,96,70,86,199,190,191,192,99,104,110,111,115,112,140,220,215,196,121,130,106,147,212,211,207,199,178,147,106,72,47,153,200,189,185,180,60,60,62,60,61,52,85,226,216,195,147,139,114,150,218,217,211,187,167,129,90,59,56,83,83,90,120,163,71,72,72,73,72,72,78,211,217,202,160,140,134,140,219,222,196,167,150,105,72,53,56,73,113,161,191,193,73,72,71,71,71,73,64,194,215,193,157,141,136,142,224,208,180,148,122,84,54,76,141,182,205,201,202,194,73,71,69,71,73,74,70,196,201,176,153,141,130,162,213,183,162,120,93,68,39,181,225,179,168,172,177,191,70,70,70,71,71,68,87,207,189,168,151,144,138,171,179,167,140,98,89,51,84,184,202,205,177,157,164,166,70,70,70,69,74,62,104,214,179,164,155,148,147,166,165,156,124,88,81,60,162,170,155,182,194,160,123,119
21,96,110,125,138,146,149,159,166,172,177,180,182,185,187,190,191,193,193,193,192,192,191,191,189,189,187,186,186,95,111,127,139,146,150,161,169,175,179,182,190,190,191,194,196,197,198,197,197,196,195,194,194,193,192,191,191,97,112,128,141,148,152,162,171,175,186,191,145,177,200,197,199,201,201,201,201,200,202,202,198,198,197,195,194,98,113,129,142,148,153,164,172,176,190,198,137,127,206,199,202,202,203,203,204,206,165,184,206,200,200,199,198,100,115,131,143,149,155,166,174,179,187,204,166,104,186,206,202,205,206,206,207,218,152,125,212,204,204,203,202,101,117,133,145,151,157,168,175,182,185,214,182,106,154,214,205,207,207,208,209,223,168,107,201,211,207,207,207,102,119,134,147,152,159,169,177,184,185,213,197,112,121,213,208,209,210,211,213,225,170,106,185,217,208,209,209,103,121,136,149,154,161,171,178,185,187,204,205,132,106,198,212,211,212,213,216,222,162,109,175,220,211,212,211,105,121,137,151,155,163,173,181,187,191,199,219,167,111,173,219,211,214,214,217,218,167,113,175,222,211,213,213,106,123,139,152,157,165,176,183,189,194,196,225,184,118,144,221,212,215,216,221,220,174,115,181,223,213,213,212,107,125,141,154,157,166,177,184,190,195,195,225,194,122,122,213,216,217,216,224,211,165,117,189,222,216,221,225,109,127,143,156,159,167,178,185,191,196,197,224,207,140,114,196,220,218,218,229,198,155,112,207,233,218,193,157,110,128,144,156,160,170,179,187,192,197,199,217,226,171,122,170,225,218,219,232,202,155,114,179,142,104,83,69,112,130,146,158,162,171,181,188,194,199,200,206,214,179,127,144,225,218,221,230,195,158,106,73,63,65,67,79,112,131,147,158,163,172,183,189,195,198,208,199,157,142,131,124,216,221,223,218,182,150,92,65,66,68,59,65,112,130,147,157,162,171,182,189,194,195,219,208,177,187,130,104,195,223,206,195,172,133,84,58,55,70,66,56,113,131,148,158,162,172,183,189,196,197,225,229,213,211,144,106,128,169,177,178,152,115,67,69,51,58,72,63,113,132,149,158,163,173,184,189,195,196,224,238,229,204,155,118,101,115,152,166,139,106,45,61,68,47,61,67,111,131,149,158,163,173,183,190,200,166,165,205,227,207,185,139,124,120,115,126,124,102,44,42,72,61,49,61,121,134,149,157,163,174,182,194,217,169,145,139,200,180,194,167,150,152,115,89,104,101,55,31,57,73,55,53,118,116,121,124,127,132,126,177,228,205,181,132,137,161,147,172,162,155,137,103,88,92,69,30,42,67,68,58,118,118,119,119,120,124,112,178,207,212,195,152,108,115,120,104,139,160,156,135,105,82,77,37,33,57,69,64,122,123,123,123,126,128,117,181,182,164,201,167,115,85,119,91,86,177,184,165,140,102,79,49,29,46,66,63,122,124,124,125,127,128,119,191,203,157,167,183,125,103,101,110,88,147,212,190,163,130,98,64,32,37,60,65,123,124,123,124,126,128,120,191,202,168,121,147,153,143,109,116,115,153,172,211,183,145,114,90,42,28,52,66,123,124,124,123,125,129,119,179,205,153,117,112,141,163,127,133,143,178,163,197,201,158,123,106,56,27,40,61,122,123,123,124,125,128,118,156,202,158,148,130,119,141,148,160,175,189,215,194,182,139,131,110,64,37,31,51,122,122,123,124,124,127,121,141,210,185,161,133,132,145,165,179,209,210,213,189,161,109,125,105,65,50,29,38
2,164,165,166,168,167,168,168,168,168,168,167,167,166,165,166,166,164,163,163,160,160,160,158,156,155,153,152,151,166,167,168,169,169,169,170,170,170,169,169,168,169,170,170,169,169,168,168,166,160,160,159,158,157,155,154,152,169,169,170,170,171,171,171,171,171,171,170,171,161,152,156,155,147,142,136,148,169,161,159,159,158,157,155,154,170,170,171,171,172,172,172,172,173,172,173,164,145,139,143,142,132,115,99,90,131,165,164,160,159,158,156,155,171,172,172,173,174,174,175,173,175,175,167,146,145,149,140,142,146,110,103,114,115,117,141,162,160,160,158,156,172,173,174,175,175,176,176,176,177,177,168,158,150,135,124,123,115,72,77,99,107,81,77,156,164,160,158,157,173,173,175,176,176,178,178,178,179,173,168,161,145,121,101,87,97,129,146,122,104,85,118,166,162,161,159,158,174,175,176,177,177,179,179,180,176,159,157,144,115,74,54,98,180,178,177,177,172,167,171,166,163,162,160,159,175,176,178,178,178,179,181,181,173,156,145,111,74,59,51,141,183,172,172,171,170,170,167,166,165,164,161,159,175,176,179,179,179,180,181,181,172,156,115,70,56,47,86,180,176,176,174,173,171,169,169,172,170,165,162,161,176,177,180,180,181,182,183,178,174,155,109,57,56,43,128,188,175,177,176,174,172,173,167,144,137,160,164,162,177,179,180,181,182,183,183,175,173,148,104,58,64,54,123,189,177,178,177,175,175,169,121,93,83,124,170,161,178,179,180,182,183,184,182,176,170,141,86,62,71,56,133,189,179,179,177,178,174,127,103,104,87,121,172,162,178,180,182,183,184,185,181,178,169,134,90,77,70,56,154,188,179,180,179,179,133,100,108,97,87,158,168,164,179,181,182,183,184,185,179,178,168,138,99,81,67,54,115,195,182,179,185,145,86,92,101,79,124,176,166,166,179,182,182,183,184,187,178,176,166,136,102,81,65,65,66,111,168,189,150,105,87,87,83,84,172,170,168,166,180,182,184,185,184,187,178,174,160,134,109,80,65,67,72,68,91,120,89,91,101,82,75,153,175,170,169,167,182,184,185,185,186,186,177,173,161,135,103,77,65,67,71,79,82,76,79,90,83,84,160,180,171,172,170,167,181,183,184,186,188,186,173,178,170,131,103,82,64,69,73,76,84,87,80,85,81,164,181,172,173,172,170,168,183,184,184,186,187,183,172,184,166,127,102,83,65,68,74,77,83,89,81,62,149,186,173,174,173,172,170,169,183,185,186,187,188,180,175,182,157,121,101,86,66,68,77,81,84,86,69,122,186,177,177,176,174,172,172,170,183,185,186,187,190,178,176,176,150,117,103,86,66,70,80,84,87,72,86,187,180,179,178,177,175,173,171,170,184,185,187,187,189,176,178,168,141,119,105,85,67,70,83,81,81,57,149,190,180,180,179,178,176,175,172,172,184,185,187,189,189,175,172,156,134,115,99,82,65,70,81,80,57,109,193,182,182,181,179,178,176,175,173,172,183,185,186,188,187,175,164,152,131,112,97,80,66,71,79,58,94,187,185,183,182,181,180,178,176,175,173,171,184,185,187,188,184,173,156,146,123,106,92,78,68,65,54,99,186,190,185,185,183,182,181,178,177,176,174,172,184,185,187,187,185,169,154,143,121,103,87,76,58,71,142,191,190,186,186,185,184,183,182,179,177,176,174,171,183,185,186,185,183,166,151,139,122,100,83,67,55,158,203,187,187,188,186,185,183,181,181,178,177,175,173,171
22,53,89,107,107,112,115,117,128,142,151,157,160,163,166,169,172,176,176,177,183,182,182,183,182,182,182,182,181,52,94,107,109,112,116,118,129,143,153,159,161,163,168,171,174,176,177,182,166,177,184,184,186,183,183,182,181,55,98,107,110,113,117,118,130,145,155,159,163,164,169,173,177,177,179,196,126,156,192,179,173,187,185,184,183,58,102,109,110,113,117,120,132,145,155,161,163,168,168,175,178,176,186,197,123,162,196,164,130,188,185,185,184,63,103,109,112,115,118,121,133,146,156,159,178,180,127,175,180,177,197,197,121,170,204,154,132,193,187,186,186,68,105,108,112,116,119,122,134,148,160,161,180,169,109,170,182,178,205,191,123,180,210,148,144,197,189,189,188,74,109,110,113,117,119,124,135,150,160,164,174,176,115,161,187,181,202,178,124,191,209,142,161,197,190,190,189,79,110,110,113,117,120,124,138,150,161,167,170,179,123,146,189,184,195,164,120,197,204,130,174,198,191,192,192,83,110,111,114,118,121,125,140,151,162,168,169,181,137,131,187,187,191,152,124,212,183,120,187,198,194,195,194,88,111,111,115,119,120,125,140,154,163,168,167,181,144,111,176,191,177,145,127,218,163,128,198,196,196,197,195,93,112,112,115,118,120,127,141,154,164,169,167,183,171,120,159,187,163,130,142,218,145,139,203,196,199,198,196,98,112,112,115,118,122,127,143,154,163,169,169,183,196,133,131,171,161,147,191,203,130,153,205,197,199,199,199,104,112,112,114,118,121,128,143,155,164,170,182,159,166,121,121,156,179,206,210,181,120,171,206,199,200,200,200,107,112,113,116,118,121,128,144,155,164,175,191,157,144,125,138,162,194,213,203,168,118,187,204,201,202,202,201,108,112,113,116,119,122,130,143,154,165,173,178,193,193,157,113,136,176,195,195,166,116,195,205,203,202,202,202,110,112,113,115,120,121,130,146,156,166,173,188,203,209,154,118,116,143,164,174,152,116,196,207,204,204,204,203,112,112,113,115,119,122,130,146,158,168,170,203,191,172,162,146,121,121,128,132,139,114,187,210,206,206,205,205,112,112,114,116,120,123,131,146,158,168,171,202,188,161,175,169,145,125,119,111,124,111,178,213,206,208,206,206,114,113,113,115,119,122,131,147,158,168,170,206,202,174,165,176,167,157,135,110,111,109,176,215,208,210,209,208,114,113,112,115,118,122,132,147,159,170,170,206,208,182,168,217,178,168,139,115,114,108,177,215,209,210,210,209,113,112,112,114,118,121,132,148,161,170,172,196,220,176,184,237,183,158,135,121,120,111,184,216,210,211,210,209,113,113,113,115,118,122,133,149,160,170,173,187,214,166,195,222,183,156,136,128,120,114,194,216,212,212,212,211,114,114,113,114,118,123,134,149,159,170,173,181,200,171,190,207,188,167,138,126,122,118,194,215,212,213,213,213,114,114,114,116,119,123,135,149,160,169,175,178,191,188,192,200,183,161,137,124,122,118,194,217,214,215,216,215,113,112,113,116,119,122,136,150,161,171,175,177,185,197,184,185,175,142,131,125,121,112,192,220,215,216,216,216,115,112,112,115,119,121,136,150,161,171,174,176,184,194,174,166,170,135,131,127,119,103,181,222,215,216,216,215,113,112,112,114,117,121,135,149,161,170,173,177,185,186,159,165,186,171,152,130,120,102,158,222,213,216,215,215,112,110,110,113,115,119,133,148,160,169,173,177,184,190,190,195,195,182,169,137,116,105,125,213,213,215,215,214
1,168,169,170,170,170,170,170,171,171,171,171,171,171,170,170,170,161,145,165,164,163,162,160,158,158,156,154,152,172,172,173,173,174,174,174,175,175,174,174,174,174,174,166,161,168,105,158,171,166,165,163,161,160,159,157,155,176,176,177,177,178,178,178,179,178,178,177,178,177,182,168,115,165,98,111,137,169,168,166,164,164,163,160,158,180,180,180,181,182,182,181,181,181,181,181,181,181,188,160,107,164,89,72,92,154,173,170,167,166,165,163,160,183,183,183,183,185,185,185,185,184,185,185,186,186,191,139,111,160,77,97,105,133,179,172,170,169,168,165,164,187,187,187,187,187,187,188,187,186,186,188,168,169,192,121,125,162,83,121,111,118,182,175,174,172,171,169,166,190,190,191,191,191,192,192,191,189,189,190,157,123,191,120,144,151,80,130,115,117,185,179,178,174,172,171,169,193,193,194,195,194,194,194,194,194,193,193,144,118,178,110,160,129,80,150,125,117,188,182,180,178,175,174,172,195,196,196,197,196,195,195,195,195,195,194,122,133,157,108,171,130,102,172,119,116,190,184,182,180,178,176,174,198,199,199,199,199,198,198,198,199,199,193,114,141,159,116,176,136,109,171,112,119,192,186,184,183,180,179,178,200,200,201,201,201,202,201,200,200,202,184,101,145,167,107,172,131,94,167,124,131,195,188,186,185,183,181,179,203,202,202,203,203,203,202,203,202,205,175,93,154,155,87,158,107,94,175,122,133,198,190,188,188,186,184,181,204,205,205,205,205,206,205,205,205,207,178,97,148,141,96,161,105,108,168,114,132,200,193,192,190,189,186,184,206,207,207,207,207,207,207,207,206,207,164,101,155,146,150,166,141,113,131,113,134,201,195,195,192,190,188,187,207,208,208,208,208,208,208,208,208,202,166,159,146,126,138,141,145,128,112,105,106,199,196,195,194,192,189,188,209,209,210,209,209,209,209,209,209,203,181,149,118,110,123,142,147,125,113,117,89,181,200,196,195,194,191,189,210,210,211,210,210,210,211,212,212,204,168,122,105,108,125,158,152,138,165,154,97,152,207,200,198,195,194,192,212,211,212,212,212,213,213,214,209,200,161,113,109,120,136,166,173,174,153,166,126,122,207,201,199,196,195,193,213,214,214,214,214,214,214,215,204,197,169,117,98,123,151,175,186,196,145,166,144,97,199,202,200,198,196,194,214,215,215,215,215,215,215,217,201,196,180,129,93,125,156,178,184,188,167,150,112,80,196,204,202,201,199,196,216,216,215,216,216,217,217,219,198,194,184,142,105,110,158,189,191,184,156,137,86,102,209,205,202,202,200,198,215,216,216,216,217,218,218,220,199,182,177,145,114,109,169,200,198,182,145,112,71,161,212,206,204,203,202,200,215,216,216,217,218,218,217,220,206,175,167,147,123,119,178,194,180,161,126,91,83,206,209,207,206,203,202,201,214,216,216,216,217,217,218,219,213,181,170,153,133,128,177,186,169,140,108,69,131,216,209,207,206,203,201,201,214,216,217,217,217,218,218,219,219,185,170,164,142,128,166,169,152,119,83,67,191,211,208,207,205,202,200,199,216,217,217,217,218,219,218,219,221,192,175,164,143,128,147,140,116,86,54,140,216,210,209,208,205,202,200,199,215,216,217,218,218,218,219,220,216,192,179,164,145,131,132,121,87,57,132,216,213,211,209,208,207,205,205,196,215,216,216,218,218,219,219,221,203,185,186,170,162,143,121,104,62,90,218,216,214,212,210,208,207,192,160,107
18,178,181,185,187,190,193,196,200,202,204,207,208,210,212,213,213,213,213,215,213,213,214,215,215,215,217,217,217,180,184,186,189,191,195,199,202,206,207,209,210,212,213,213,214,216,216,219,221,214,218,218,217,219,218,219,219,182,184,187,190,194,198,200,203,208,209,211,212,214,216,219,219,217,206,179,197,228,219,218,225,219,221,222,221,183,185,189,192,197,200,201,205,209,209,214,216,216,217,214,213,241,204,158,123,182,186,161,191,231,222,224,224,183,188,192,195,199,201,203,207,210,213,215,218,219,219,181,153,207,184,124,123,96,163,161,117,197,232,225,226,187,190,192,197,200,203,208,210,213,214,217,211,228,239,174,145,187,163,110,112,93,158,184,125,126,238,226,226,190,191,195,199,203,207,211,212,216,216,223,181,160,213,200,173,197,171,149,140,121,127,158,129,110,232,228,228,191,193,197,200,205,210,211,215,216,222,239,198,165,144,206,188,171,197,189,188,178,143,112,105,115,234,231,230,192,195,198,202,206,209,213,216,217,229,232,230,204,146,149,191,146,173,209,201,201,164,106,76,116,238,232,232,193,197,200,204,207,210,214,217,220,230,195,225,202,171,111,147,160,120,176,201,195,158,115,78,116,244,231,233,195,199,202,206,211,214,217,217,221,231,158,156,186,151,92,104,148,102,105,160,185,173,136,83,133,247,231,235,196,200,203,208,211,215,218,220,222,234,182,146,172,118,81,86,121,94,76,106,195,196,155,94,126,250,232,238,197,201,204,208,211,215,217,220,222,238,216,171,159,118,85,76,112,88,64,80,188,217,171,125,91,221,242,236,198,202,207,209,212,216,219,222,224,239,206,159,142,119,89,70,118,96,48,161,222,230,195,142,88,132,250,237,200,203,207,211,215,218,221,224,224,234,227,199,159,125,98,86,100,74,143,241,238,223,190,140,108,115,246,240,202,204,207,211,215,219,223,227,225,237,234,205,162,128,110,103,93,135,232,253,246,223,177,132,104,134,251,239,201,204,210,212,215,219,223,227,226,238,237,211,172,143,128,132,134,204,248,255,230,208,168,120,92,157,254,238,203,206,210,212,216,221,223,227,229,235,238,219,189,167,157,134,145,216,247,248,211,178,147,115,87,186,254,241,202,207,210,214,217,222,224,228,227,232,234,221,198,173,160,143,145,201,249,241,200,169,133,110,91,206,254,244,202,206,211,215,218,221,225,230,231,230,233,223,201,173,166,168,143,188,248,230,185,153,123,103,101,229,250,245,201,205,211,214,217,221,224,226,231,231,228,221,206,183,190,180,142,168,247,210,173,136,115,97,120,247,247,247,201,205,209,212,216,220,225,224,229,232,225,217,209,193,185,187,150,152,233,192,155,123,108,92,142,255,244,247,202,206,210,213,217,219,226,226,228,230,228,218,212,197,183,182,157,136,212,180,134,115,107,89,166,255,243,247,205,208,213,215,217,222,226,227,229,233,232,226,220,199,180,169,146,119,189,157,117,106,107,98,213,251,246,247,204,208,213,215,218,223,225,228,230,232,225,239,219,188,164,145,115,117,161,133,115,111,95,147,255,247,248,248,204,208,211,216,219,222,225,227,231,229,224,245,213,181,159,127,118,121,153,127,115,110,101,215,250,245,247,248,204,209,212,216,220,224,225,228,232,226,231,246,219,192,173,144,130,133,152,118,121,88,150,255,245,247,247,248,203,209,211,215,219,223,225,227,230,223,232,238,226,201,187,147,122,150,141,121,109,85,201,251,243,247,247,248
1,174,176,178,179,179,180,182,181,181,181,182,182,184,184,184,184,184,184,182,183,184,184,183,182,182,183,182,181,177,180,182,181,183,183,183,184,184,186,186,186,186,187,186,187,186,187,188,185,185,185,186,186,184,184,183,183,181,184,184,185,186,187,187,188,189,189,190,191,190,189,191,190,192,181,181,191,189,189,188,188,186,185,185,184,185,188,188,190,190,190,190,192,193,194,194,193,195,195,162,184,208,176,132,199,192,191,191,191,189,189,188,188,188,192,192,194,194,194,194,195,194,197,198,196,204,206,127,178,213,163,127,198,189,197,194,194,192,191,191,190,191,194,195,197,197,197,197,200,199,199,196,189,215,194,128,189,209,144,145,197,141,182,202,196,195,195,195,194,195,196,196,198,201,202,201,202,202,206,191,150,197,176,131,205,204,131,163,206,128,165,209,198,198,197,197,196,197,198,199,202,204,203,205,204,202,215,188,134,178,172,139,214,208,139,182,208,128,166,213,201,202,200,199,199,200,202,203,205,207,208,206,208,206,217,170,135,176,164,149,207,193,137,197,204,122,171,213,204,205,204,203,202,202,203,206,208,209,210,210,210,208,222,166,145,164,149,133,200,172,133,212,205,127,182,215,209,208,207,206,205,204,206,209,209,211,210,212,213,211,223,157,139,164,158,125,215,168,148,220,191,130,194,215,211,210,210,209,209,207,209,210,212,212,212,213,214,216,226,167,128,164,159,128,219,163,161,220,180,128,206,217,212,212,211,210,209,209,212,213,214,215,216,216,214,218,227,172,115,147,132,117,195,137,186,224,180,136,218,217,216,214,213,212,211,210,212,215,216,217,218,217,216,222,228,175,138,175,189,171,195,176,164,209,170,148,226,217,217,216,217,216,213,213,215,215,216,218,219,219,218,229,224,184,157,141,192,216,210,209,153,154,155,161,230,219,220,219,218,216,216,214,216,217,218,220,221,221,221,236,212,171,145,119,126,157,179,223,203,134,104,181,232,220,222,220,219,218,217,216,218,220,221,222,223,223,224,241,215,170,135,126,130,134,172,235,232,172,98,201,230,223,223,223,223,221,220,217,219,222,223,223,225,222,228,242,210,165,139,139,145,184,206,204,224,189,121,208,230,224,224,223,223,223,223,219,220,222,224,225,227,223,231,239,207,170,139,150,154,212,227,206,186,168,121,175,237,224,227,226,225,224,223,219,220,223,225,226,228,225,234,239,210,174,153,153,179,235,225,198,174,138,107,181,240,227,228,228,228,225,224,222,223,224,226,226,228,227,234,237,209,175,164,151,196,242,227,186,160,127,103,209,237,229,230,229,228,226,224,223,225,225,227,227,228,229,232,234,209,185,173,152,193,242,218,175,148,114,124,230,232,230,230,229,229,229,227,224,226,226,228,228,229,229,230,230,211,190,184,149,196,234,199,163,136,104,180,241,231,231,231,232,233,230,230,224,227,229,228,229,231,232,233,233,215,192,183,149,205,218,189,158,121,117,226,236,234,232,233,233,233,231,231,224,227,230,230,230,231,230,232,238,215,197,172,150,199,189,173,146,106,156,245,234,236,235,235,235,234,232,231,225,226,229,231,231,233,226,232,238,232,206,169,162,188,170,162,136,105,206,243,235,238,238,236,236,235,233,232,225,225,227,229,230,229,225,235,234,231,207,175,174,178,165,153,114,151,241,237,238,238,238,237,237,236,234,233,226,227,228,228,229,225,227,225,212,214,199,173,170,158,153,124,119,221,242,238,238,238,237,237,236,236,234,233
14,126,126,126,126,126,126,127,127,127,127,128,127,127,126,127,127,127,128,127,127,127,126,126,126,125,125,127,96,128,128,128,128,128,128,129,130,131,130,131,130,129,129,129,129,130,130,129,129,129,128,128,128,127,125,130,82,130,130,130,129,131,131,131,132,130,131,130,130,131,131,130,134,134,131,132,132,132,130,129,129,128,129,130,108,133,132,132,133,134,133,132,132,135,139,131,122,133,132,122,118,130,135,135,134,133,133,132,133,131,131,131,123,135,135,135,137,136,135,133,143,155,127,122,120,123,113,88,102,116,121,125,138,135,137,137,135,134,133,133,130,138,138,137,139,137,143,153,150,135,78,58,78,88,86,53,49,102,87,68,140,138,138,138,137,135,136,135,134,139,139,139,141,135,155,163,99,70,50,19,31,47,53,36,31,59,61,35,122,148,140,135,139,137,137,137,136,141,140,140,143,136,162,157,90,33,25,20,15,21,28,30,25,34,41,53,65,121,119,95,106,141,137,138,138,143,142,143,145,137,168,153,103,50,29,26,22,21,20,28,25,26,56,95,66,47,114,92,93,146,139,141,139,146,144,145,145,138,169,141,83,33,20,25,33,30,20,28,32,28,40,56,33,90,132,67,114,150,142,143,142,145,145,146,144,148,170,137,100,62,31,20,30,23,34,26,47,92,122,103,76,132,121,59,124,151,144,144,144,147,147,148,145,155,173,144,113,82,53,40,23,26,53,34,89,163,150,157,138,136,120,57,119,152,145,146,145,150,150,151,145,161,178,151,116,72,50,43,38,38,41,36,123,155,148,149,125,133,112,58,109,156,146,146,146,150,150,152,146,164,182,157,118,66,44,38,36,51,38,56,156,150,152,143,130,134,107,57,89,160,147,147,147,150,151,152,149,165,182,159,129,86,50,32,33,48,36,84,165,148,154,135,144,137,101,47,113,158,149,150,149,151,152,155,148,163,185,161,131,97,59,32,31,43,26,100,156,155,145,125,147,139,81,67,157,152,152,152,150,153,154,157,147,158,184,163,138,106,64,39,35,32,30,66,85,121,119,126,138,122,61,120,162,151,154,151,151,155,155,157,147,158,183,164,139,113,77,47,21,34,45,59,83,99,107,122,125,92,70,155,155,156,156,155,153,155,155,157,149,159,182,168,142,117,87,59,23,39,50,76,100,110,107,102,102,64,109,164,156,158,157,156,154,157,156,159,148,156,181,169,146,121,92,66,34,38,62,93,111,115,97,85,71,54,149,160,158,158,158,157,157,158,156,159,148,151,180,168,150,124,96,68,47,37,61,95,112,112,94,70,52,77,167,156,157,158,159,159,159,158,157,160,151,149,177,167,152,127,102,71,56,39,53,92,111,106,82,61,54,139,164,159,160,158,159,159,158,160,160,160,150,152,174,167,153,131,108,79,64,49,50,98,109,98,74,46,97,173,159,161,160,160,159,159,158,162,161,163,148,156,178,166,152,136,114,79,68,62,46,95,95,83,66,41,138,169,161,162,162,160,161,161,161,162,162,166,149,161,181,164,152,141,117,82,69,65,48,78,83,77,55,62,167,165,163,162,162,162,161,161,161,163,162,165,150,173,178,167,162,142,118,83,68,62,51,65,71,69,41,116,174,164,165,164,163,162,161,161,161,163,163,160,149,179,179,169,157,134,106,77,64,58,53,60,62,52,74,167,168,165,165,165,163,163,163,162,162,164,165,153,150,175,176,166,145,117,91,70,59,53,57,59,59,53,144,173,165,167,166,166,164,164,164,163,162
16,130,141,147,151,156,161,167,172,175,179,181,185,189,191,195,197,199,199,200,202,203,203,203,204,205,205,206,206,134,144,150,153,158,164,170,176,179,181,184,189,192,195,198,201,202,202,206,208,207,208,207,209,209,208,209,209,136,147,152,156,161,168,174,178,182,185,188,192,195,198,201,204,206,204,200,198,201,208,213,212,211,212,213,212,138,149,154,158,165,170,176,181,184,188,190,193,197,201,205,201,190,181,169,153,147,148,167,205,217,214,215,216,141,152,156,160,166,173,179,185,188,192,196,198,199,195,186,174,170,173,163,145,136,126,110,125,192,218,217,217,143,153,157,162,168,175,181,187,189,191,191,184,177,172,168,170,164,157,151,129,127,130,109,96,118,210,222,221,144,155,159,163,171,177,184,186,200,193,177,155,162,163,172,159,150,153,134,114,114,115,104,103,94,172,228,221,147,156,161,165,174,180,185,199,221,204,206,156,172,188,174,143,151,139,122,110,108,105,101,103,96,152,228,223,149,158,163,167,175,182,188,205,199,203,203,167,201,204,140,137,136,113,111,104,100,100,103,105,96,169,231,226,152,161,165,170,177,183,191,187,192,212,187,180,221,196,142,133,115,103,102,100,99,97,101,105,102,198,232,229,154,163,167,172,179,184,192,190,200,218,199,194,216,178,164,147,120,100,96,99,100,99,101,97,130,222,231,231,155,165,169,173,180,187,194,197,198,214,208,195,211,191,171,142,117,99,94,97,101,102,101,95,162,234,234,234,157,167,169,175,183,191,196,200,195,214,209,206,208,185,150,119,104,92,96,100,103,103,101,99,195,238,233,235,160,166,169,176,184,192,198,204,200,212,215,212,191,160,121,100,81,76,99,107,103,103,100,109,220,237,234,236,162,169,171,178,185,193,199,204,206,212,216,200,166,130,99,61,45,83,104,111,105,103,94,124,235,237,237,238,165,171,174,180,189,195,201,205,208,206,202,173,139,115,60,30,42,84,106,119,115,108,88,142,243,236,237,237,165,172,176,183,191,196,201,206,210,197,180,147,124,93,38,37,41,71,102,121,124,107,84,161,249,237,239,239,166,174,177,183,192,197,203,208,213,200,162,128,110,77,52,43,57,57,92,128,125,104,88,173,250,238,241,241,169,173,177,185,193,199,205,209,215,196,142,102,90,91,88,71,70,77,105,135,116,106,91,182,251,240,242,243,172,175,178,186,194,200,206,210,214,190,123,119,103,82,90,86,85,122,124,140,110,106,92,197,253,242,244,244,172,176,179,187,196,202,206,214,207,165,103,216,221,156,126,104,138,140,135,136,106,105,92,203,252,242,244,245,172,175,180,188,195,202,204,202,187,115,154,237,228,226,204,171,146,142,154,135,100,102,87,195,254,243,247,248,172,175,180,188,196,201,200,192,145,110,221,227,226,215,196,169,140,158,166,139,99,99,87,170,255,250,244,240,172,176,181,188,195,207,213,173,100,187,233,226,225,216,192,170,141,168,173,141,101,96,97,108,146,127,157,198,172,176,182,186,204,235,184,106,155,226,221,227,223,213,188,168,141,165,181,148,94,98,101,85,68,69,131,152,174,176,181,184,224,185,122,166,224,219,224,225,221,210,191,170,141,146,182,163,98,98,98,91,68,102,98,89,173,176,182,189,201,169,194,221,216,221,224,227,218,208,189,168,143,128,170,175,112,96,97,83,39,78,95,85,173,177,184,192,198,210,213,212,218,221,224,227,215,206,191,163,139,128,135,165,130,98,97,72,35,65,95,78
14,102,104,106,108,110,112,114,116,116,116,117,120,121,120,122,123,123,122,122,123,123,124,124,123,124,123,123,123,102,104,106,108,112,113,115,115,116,117,120,121,122,122,124,124,123,124,125,125,126,126,125,125,125,124,125,124,102,105,107,109,112,113,115,116,118,119,120,121,122,122,123,127,128,126,126,126,126,127,127,126,126,126,126,126,103,106,107,111,113,114,117,118,118,120,125,123,126,123,113,106,111,122,127,130,129,128,128,128,127,128,127,127,105,109,110,113,114,116,117,119,116,135,141,131,121,108,100,101,96,96,93,94,123,130,127,128,128,128,127,128,106,108,112,114,115,117,119,115,130,156,128,103,91,74,57,73,85,79,62,61,72,133,129,129,129,129,129,129,107,109,111,113,116,117,119,116,162,143,97,66,55,49,48,46,55,59,58,66,53,97,139,131,131,132,131,128,107,109,111,115,117,118,114,140,167,116,82,66,42,39,44,34,39,54,68,66,55,59,88,97,103,134,131,131,109,111,113,116,118,119,116,165,141,90,69,49,38,46,43,35,36,47,70,71,45,64,50,71,83,134,131,133,110,112,114,116,120,114,136,170,118,80,63,39,31,39,36,44,39,111,134,129,107,69,66,73,89,138,131,133,110,113,115,117,120,117,166,159,112,78,67,59,41,25,36,41,66,137,134,134,142,88,89,74,89,140,132,133,110,113,118,121,114,141,178,149,111,77,67,59,45,38,38,42,114,138,132,135,133,84,97,77,69,137,133,133,110,114,118,121,111,152,175,147,109,72,63,54,41,45,40,71,142,133,135,136,132,79,95,83,56,116,140,133,112,116,118,122,110,148,178,147,114,83,60,47,37,42,34,95,142,134,135,138,130,76,88,84,61,102,142,133,112,117,119,123,111,150,179,147,116,92,68,48,40,40,30,105,145,136,135,140,120,88,101,89,66,113,141,134,113,117,120,125,110,156,177,149,122,93,72,56,37,38,30,82,136,137,139,146,109,92,105,92,72,126,141,135,114,117,119,125,111,158,178,154,122,100,80,68,42,40,47,48,64,76,98,125,86,92,102,89,79,134,139,139,115,117,120,126,110,157,176,152,124,104,87,77,53,40,53,54,57,65,73,75,76,97,101,83,85,142,138,138,115,119,122,126,113,156,171,151,127,108,89,76,61,40,53,61,73,81,87,88,73,78,97,79,96,145,138,139,116,121,123,126,113,157,169,152,127,108,88,74,68,47,58,70,82,87,87,87,77,69,83,73,112,145,139,140,118,122,124,126,111,156,164,146,124,104,84,73,69,56,61,73,83,86,86,86,79,75,80,69,125,145,140,140,118,122,124,127,115,151,157,140,122,103,86,79,72,64,68,76,81,84,83,81,80,80,72,93,141,140,140,141,118,121,125,127,120,154,158,141,123,105,93,85,76,69,73,79,80,84,81,78,82,77,102,140,143,143,142,141,119,122,125,128,122,161,160,142,126,106,93,82,76,73,72,79,81,83,80,84,76,110,147,143,143,144,142,143,119,123,126,129,119,162,161,145,129,106,88,76,78,78,74,80,83,84,85,75,95,145,143,143,144,144,142,143,120,124,127,128,120,164,155,141,124,101,82,78,81,80,78,83,86,86,76,94,141,144,144,144,144,144,142,144,121,125,127,128,123,162,152,141,127,104,81,79,81,78,76,81,86,78,100,144,145,145,145,145,145,145,144,143,123,125,127,128,128,158,154,143,134,113,80,76,77,77,76,80,79,97,143,147,145,145,145,145,144,144,145,144
2,175,173,175,174,174,176,175,175,174,173,173,173,174,173,170,171,170,168,167,167,167,166,170,88,38,43,39,42,178,176,178,177,177,179,178,178,176,177,177,178,174,174,176,170,176,175,175,171,172,168,176,123,41,48,33,45,181,180,182,180,181,182,180,181,181,182,181,180,179,185,172,105,111,158,145,178,176,172,177,145,46,31,16,42,183,184,185,186,185,186,186,185,185,181,185,187,187,152,100,70,46,88,65,141,178,174,176,164,64,13,21,52,188,187,188,190,188,188,190,189,186,194,204,192,107,65,51,46,43,57,49,45,146,185,175,185,93,0,8,40,191,191,192,191,191,191,190,190,191,207,194,127,53,42,39,33,29,37,49,36,140,189,178,187,124,97,63,22,194,194,195,196,195,195,194,188,201,216,122,56,35,28,38,32,23,30,30,60,173,188,182,186,159,108,169,147,197,196,196,197,197,197,196,187,217,195,89,45,34,25,29,36,44,79,124,172,191,188,186,197,131,108,208,175,199,200,199,198,198,200,196,199,222,154,76,43,52,39,41,49,139,199,199,196,190,190,187,199,142,145,199,112,201,201,201,202,201,202,198,217,202,129,61,37,48,39,70,164,203,195,194,196,195,194,191,192,180,160,111,108,203,203,203,203,205,201,204,229,190,123,75,53,39,40,140,218,197,199,198,199,198,196,194,193,194,182,117,184,206,205,204,205,207,202,220,234,174,111,73,66,48,41,168,210,201,200,201,200,199,197,196,197,194,188,181,164,207,207,206,208,208,202,237,221,158,94,66,63,54,71,204,206,205,203,202,201,200,199,199,198,199,191,189,196,208,207,207,210,203,208,244,203,150,94,61,55,50,106,218,205,207,205,204,202,203,202,202,201,199,198,188,165,211,209,210,210,197,228,235,188,136,87,62,56,49,113,221,205,207,206,206,206,205,202,202,202,201,199,204,155,213,213,214,207,208,243,218,173,123,78,61,62,42,146,224,205,208,208,207,207,208,207,207,205,207,205,201,200,213,212,215,198,222,244,207,161,110,76,55,49,38,111,222,210,210,209,211,214,208,189,175,163,158,185,207,200,214,214,216,198,239,234,196,149,102,74,47,42,58,50,120,227,221,216,200,175,154,159,154,142,118,81,182,208,214,218,203,217,244,226,184,134,94,72,34,44,61,68,57,140,180,156,144,157,160,155,131,108,120,120,186,209,217,214,200,241,239,216,167,123,87,62,31,64,73,85,90,81,94,126,159,163,139,93,93,165,209,215,210,207,221,206,226,246,232,203,157,117,83,59,42,80,92,100,99,100,109,131,131,105,91,104,194,222,211,209,208,208,207,220,242,232,221,194,147,101,76,61,57,88,102,104,102,93,94,89,91,141,193,216,217,212,213,212,211,208,205,229,234,226,215,179,129,89,74,60,76,100,107,102,90,76,64,119,203,225,221,215,214,215,214,214,213,212,220,227,225,208,182,143,103,80,73,64,85,98,102,86,68,98,166,225,228,219,218,218,218,217,214,213,212,213,218,218,204,178,152,124,93,78,70,74,83,93,88,60,127,221,229,222,222,222,219,219,220,217,216,215,214,213,216,205,177,148,138,106,83,77,77,79,77,70,74,148,229,227,223,223,223,224,223,222,220,219,219,218,216,215,207,193,155,115,103,77,74,81,79,73,71,124,200,235,224,225,226,225,225,224,224,223,223,222,221,219,218,209,200,178,135,93,70,68,76,80,68,118,187,234,234,225,228,227,226,226,226,225,224,224,224,223,222,220,221,183
12,155,157,159,162,163,164,167,170,171,172,172,173,174,173,173,174,173,173,174,174,174,172,172,172,171,170,170,169,157,160,161,163,165,166,169,172,173,174,174,174,175,175,175,176,175,175,176,177,176,174,174,173,173,172,171,171,158,160,163,165,166,168,171,171,174,176,176,176,177,177,176,178,177,178,178,178,178,178,177,176,175,174,173,173,158,161,164,166,167,169,171,173,174,176,177,178,179,178,178,180,180,179,178,179,179,180,179,177,177,176,175,174,160,163,165,167,170,171,173,175,176,178,179,180,180,179,181,182,180,179,179,180,179,180,179,178,178,178,178,176,161,163,166,168,171,173,176,177,178,179,180,179,182,180,169,175,186,172,152,169,182,180,180,180,180,180,180,179,163,165,167,170,172,174,177,179,180,180,181,180,201,195,153,147,200,165,115,117,182,181,183,181,181,181,181,181,164,167,169,171,173,174,177,179,181,181,181,181,217,205,159,137,196,160,106,78,146,141,145,181,182,183,183,183,166,169,171,173,176,177,178,179,180,185,188,154,162,189,152,127,190,154,101,85,157,126,82,148,185,184,184,185,166,168,171,174,176,178,181,182,181,208,200,160,112,145,143,119,185,155,98,117,170,135,81,106,188,186,185,185,167,169,171,174,177,180,181,182,195,223,213,170,117,104,156,121,196,183,121,142,181,147,83,95,187,188,186,185,168,171,173,175,178,180,182,181,211,202,208,173,120,90,162,120,170,170,108,153,205,156,78,96,188,188,187,187,169,172,175,177,179,183,184,187,218,194,195,173,117,73,104,92,76,127,118,153,167,111,57,101,190,189,188,188,171,174,176,178,180,184,184,209,217,178,180,167,119,73,54,54,62,152,186,178,153,121,66,112,191,189,189,188,173,175,177,180,182,184,187,221,204,163,159,161,124,80,64,81,150,181,177,164,141,122,86,131,195,192,191,188,173,175,179,181,183,185,196,221,197,169,141,153,149,84,72,170,203,184,166,149,119,101,84,137,195,192,192,190,174,176,179,183,185,185,208,222,201,179,145,126,128,93,138,214,209,179,159,139,109,92,76,146,197,194,194,192,176,178,180,184,187,185,215,222,201,178,161,132,130,147,202,221,206,173,151,127,100,86,71,158,198,195,194,193,177,179,182,185,188,187,216,222,203,184,170,146,146,159,212,220,198,165,141,118,95,83,64,152,198,194,195,194,178,180,182,186,188,187,214,225,208,192,180,157,141,172,215,212,188,161,133,108,89,77,68,170,199,195,195,195,179,181,184,186,188,189,209,225,209,193,179,162,148,190,207,195,175,153,126,100,82,69,123,196,197,196,196,196,180,183,186,187,189,190,205,222,203,188,170,158,166,195,186,179,161,139,114,91,73,113,191,200,198,197,198,197,181,183,186,187,190,191,208,219,198,186,168,166,184,193,174,169,150,126,104,81,109,187,201,201,200,199,199,198,182,184,187,189,192,190,217,220,205,194,180,180,193,191,170,158,139,119,92,93,178,202,202,201,200,200,200,200,183,185,188,190,193,191,230,228,216,198,188,191,192,179,163,137,122,102,83,146,201,204,203,201,201,201,200,200,183,186,189,190,192,195,233,227,223,203,195,192,181,167,145,119,107,82,124,195,206,205,204,202,202,202,201,200,184,187,190,192,191,198,224,215,215,197,191,182,173,151,131,112,93,92,177,206,207,207,205,203,203,202,202,201,185,187,191,193,189,202,219,199,193,182,181,181,165,139,129,107,81,126,198,208,207,207,206,205,203,203,203,202
10,90,99,114,133,145,152,157,160,162,165,166,168,168,169,170,170,169,168,167,166,163,162,161,159,158,157,154,152,91,100,116,135,146,154,158,161,164,166,168,170,170,171,172,172,172,171,170,167,154,150,161,162,160,158,156,153,92,101,117,136,148,155,160,163,165,168,171,172,173,173,174,174,174,174,172,170,142,124,157,164,163,160,158,156,93,103,119,138,149,157,162,165,167,170,172,174,175,176,177,177,176,176,175,173,139,114,153,166,165,163,160,158,95,104,121,139,151,158,164,167,168,171,174,176,177,178,179,179,179,178,178,174,138,110,151,169,168,166,163,161,96,105,122,141,152,160,166,168,170,173,176,178,179,180,181,182,181,181,180,176,138,109,151,172,171,169,167,164,98,107,124,142,154,162,167,169,172,176,179,180,181,182,183,184,183,183,183,179,142,111,151,174,173,171,169,166,99,107,124,143,155,163,168,170,173,178,181,181,182,184,185,186,186,185,185,177,135,107,151,175,174,172,170,168,99,108,125,144,156,163,168,171,174,179,182,183,185,186,186,187,187,186,185,162,113,101,153,177,176,174,172,169,100,109,127,144,156,164,169,172,176,180,183,185,186,187,188,188,183,175,175,143,93,99,159,180,178,176,173,170,101,110,128,145,156,165,170,173,177,181,184,186,187,188,188,189,179,157,140,116,84,93,160,181,179,177,174,172,102,111,129,146,157,166,171,174,178,182,186,187,188,185,174,172,173,158,122,89,79,85,148,181,180,178,175,174,103,112,130,146,158,167,172,175,179,183,187,188,189,181,151,127,118,121,94,77,79,78,129,180,182,179,177,175,104,113,131,147,159,167,172,176,180,184,187,183,176,177,157,117,70,62,64,88,94,78,119,179,183,181,178,176,104,114,132,147,159,168,173,177,181,184,187,175,151,151,162,129,74,51,60,107,122,89,114,177,184,182,180,177,104,114,133,148,160,168,174,178,182,185,188,178,158,139,151,136,90,54,66,117,140,101,108,174,185,183,180,178,105,115,133,148,160,168,175,179,182,186,187,171,160,138,131,132,97,60,81,132,144,105,99,168,186,183,181,179,105,115,133,149,161,169,175,179,183,187,188,166,142,123,107,123,109,81,106,145,135,99,96,166,187,185,182,180,105,115,134,149,161,169,175,179,183,187,188,169,138,116,103,121,132,107,124,146,118,87,102,173,188,186,183,180,105,115,134,150,161,169,176,179,183,187,189,183,156,124,110,116,136,119,129,138,107,78,111,180,188,186,184,181,105,116,135,149,160,170,176,180,183,187,188,187,169,140,119,115,143,147,142,129,100,75,122,185,189,186,184,183,103,115,134,148,160,169,175,178,182,186,187,182,170,151,132,126,155,168,147,119,93,75,134,187,188,185,183,182,102,113,132,146,158,168,174,177,181,186,187,178,167,156,143,134,153,163,139,109,84,76,148,188,187,184,182,180,101,112,131,145,157,167,173,177,181,185,188,183,169,158,146,134,143,150,127,97,73,87,165,188,186,184,182,180,100,111,130,144,156,166,172,176,180,184,188,188,176,159,142,128,128,132,114,88,69,114,180,188,185,183,181,179,112,122,137,148,156,163,168,171,174,177,180,181,178,162,140,126,122,124,113,86,74,132,171,172,170,167,165,162,126,130,135,137,136,136,137,137,137,137,137,137,148,163,148,138,129,125,113,84,71,103,118,116,114,111,106,99,109,109,109,109,108,108,109,109,109,109,108,108,125,163,159,149,135,124,107,80,68,87,93,92,90,81,60,45
5,193,194,193,195,196,197,198,197,199,198,199,199,198,199,203,199,199,199,198,197,197,195,194,193,194,192,190,189,196,196,197,198,200,200,201,200,201,202,203,202,203,201,187,201,201,201,201,201,200,198,197,196,195,194,194,193,200,200,201,201,203,204,204,204,205,207,206,209,206,214,151,186,210,204,205,204,202,201,201,200,199,198,197,194,203,204,204,206,206,206,207,208,210,210,208,182,198,228,156,165,218,207,208,206,206,205,205,203,202,201,200,198,206,207,209,209,210,211,210,212,213,211,219,168,166,236,156,149,223,210,211,210,209,208,207,207,206,204,203,201,209,210,212,211,213,215,216,215,216,213,229,183,153,235,151,149,226,213,214,213,212,210,210,209,209,207,206,204,212,212,214,215,216,217,213,216,219,216,233,188,142,233,162,155,228,215,217,218,215,214,213,212,212,210,208,207,215,215,217,219,218,222,188,186,227,216,235,195,142,229,157,162,231,218,221,221,224,218,215,215,215,212,211,210,218,219,220,221,220,229,195,153,228,218,237,198,135,223,145,167,233,221,222,213,190,216,220,217,216,215,215,214,220,222,222,223,222,232,213,135,225,223,234,194,122,224,165,169,234,221,227,218,168,178,231,220,219,219,218,217,221,223,223,224,226,230,214,134,223,227,229,208,126,205,178,169,234,217,209,197,217,181,202,224,222,221,220,218,223,225,225,227,229,230,234,144,205,232,224,220,127,173,183,177,230,224,185,119,200,196,161,225,225,223,221,221,226,226,228,229,229,231,238,176,176,236,226,223,130,161,183,178,223,222,177,170,218,167,184,234,226,225,223,221,228,229,229,229,231,230,225,230,191,201,220,208,159,175,171,159,199,200,171,226,213,146,223,229,227,226,224,223,228,231,231,232,232,235,219,236,222,187,189,187,167,169,163,160,202,194,183,234,185,141,237,228,230,228,227,227,231,233,234,234,234,237,231,232,244,207,181,179,156,160,160,162,197,191,199,242,156,145,244,231,231,230,230,229,232,234,234,236,236,236,237,234,255,227,169,164,147,145,157,166,194,184,201,246,153,167,247,231,232,232,231,230,233,234,235,236,236,236,237,238,255,234,172,140,143,141,153,182,200,174,195,244,161,180,247,232,234,235,233,230,234,235,236,237,238,238,237,238,255,231,180,140,142,141,173,191,213,215,189,231,164,184,247,234,236,235,234,231,235,236,237,238,240,240,240,236,254,227,183,144,136,153,186,203,227,231,197,197,144,181,250,236,236,235,234,234,235,236,238,240,241,241,242,235,252,230,190,145,136,162,201,222,224,224,200,156,113,171,252,237,238,236,235,235,237,239,240,241,241,242,244,236,248,231,191,149,139,161,212,233,230,212,175,130,100,205,248,239,241,239,236,236,238,241,241,241,242,244,245,237,238,230,189,152,146,158,223,237,218,192,158,106,159,252,240,242,242,240,237,236,240,241,241,242,242,244,246,233,226,228,188,163,153,157,219,221,202,177,135,120,239,248,242,242,242,241,238,237,239,240,241,242,243,244,248,235,221,220,182,174,152,158,204,208,193,161,103,188,255,244,245,243,242,242,240,237,238,239,240,241,242,242,245,238,218,211,183,175,147,155,193,195,174,115,135,251,246,246,244,244,243,242,241,239,237,239,241,242,242,243,246,236,224,214,185,173,152,141,176,162,127,115,230,250,244,245,243,244,242,242,241,239,239,240,242,242,242,243,248,232,227,206,167,164,152,134,156,130,103,203,255,244,247,245,244,245,242,241,240,238
12,153,157,161,162,166,169,170,171,173,174,174,175,178,180,179,179,179,179,179,179,179,179,177,176,175,175,175,173,155,158,161,163,167,169,171,173,173,174,175,177,179,180,180,180,181,180,180,180,179,178,178,178,177,176,176,174,156,159,163,165,167,169,171,173,175,177,178,179,179,180,180,180,181,181,180,180,180,180,180,179,179,177,177,177,157,159,163,166,168,171,172,175,177,178,179,183,179,176,197,180,158,168,182,182,182,180,181,180,180,179,179,177,158,161,165,167,169,172,174,177,178,178,194,215,196,162,191,199,152,128,178,183,181,182,181,181,181,179,179,178,159,162,165,168,170,173,176,179,180,179,218,237,215,174,144,186,169,121,162,195,166,162,180,183,181,180,179,179,159,162,166,169,171,174,177,179,180,179,217,224,222,195,166,139,162,144,141,197,158,123,157,184,182,181,181,180,160,163,167,170,173,175,177,179,180,180,208,190,183,199,167,113,147,150,108,147,153,109,121,182,184,182,181,181,160,164,168,171,173,176,178,178,193,206,172,151,163,182,168,147,159,130,88,112,132,104,107,180,185,182,181,182,161,165,169,172,174,177,176,194,232,208,154,114,136,184,190,187,172,144,121,155,123,98,107,180,185,183,182,184,162,166,170,172,174,177,179,224,226,198,159,111,89,155,174,175,185,194,180,168,117,91,117,186,186,185,185,185,162,166,170,173,176,176,198,221,210,207,169,118,66,96,123,154,185,214,204,167,113,81,140,188,187,186,186,185,164,167,171,173,176,178,219,213,201,212,178,132,74,73,77,110,176,203,208,182,148,105,162,190,187,186,186,185,163,167,171,174,175,199,222,202,185,214,199,151,84,77,89,139,198,197,187,164,158,129,140,189,187,187,187,186,162,166,171,173,174,223,227,199,162,178,207,167,102,85,154,204,205,190,178,148,140,127,125,187,188,187,188,187,163,167,170,171,175,231,230,199,159,142,179,194,140,153,219,207,197,184,169,142,122,110,136,189,189,187,187,187,164,168,171,173,182,238,232,202,183,176,150,156,168,223,232,209,192,182,158,138,112,103,157,191,190,188,187,187,164,168,172,173,183,238,231,211,206,194,168,168,216,236,232,211,181,167,146,133,108,107,176,192,191,190,188,187,164,169,172,173,182,234,234,223,214,199,181,177,221,234,222,201,171,151,140,126,104,125,188,192,191,190,188,188,163,168,170,174,179,229,238,228,213,197,183,179,216,225,209,185,158,145,140,116,101,157,194,192,192,191,189,187,162,166,170,174,174,214,233,222,209,199,188,185,207,212,192,168,151,146,137,107,120,185,193,192,191,190,188,187,162,166,169,173,173,198,226,211,201,196,188,184,199,205,184,160,146,140,124,105,160,191,190,189,189,188,187,187,138,139,141,142,141,172,220,198,193,192,182,171,188,202,179,151,135,127,112,105,137,142,140,139,139,138,138,139,103,102,101,102,99,140,219,193,192,194,181,168,179,196,164,131,119,115,104,96,95,95,94,93,93,92,92,92,108,107,106,107,104,140,224,199,202,199,182,168,173,189,152,122,111,106,102,101,99,99,98,96,96,95,95,95,108,107,108,109,106,140,229,211,215,207,187,169,164,184,150,122,105,100,101,102,102,99,98,97,98,96,96,95,109,108,108,110,106,135,226,220,223,207,186,165,156,177,150,120,103,98,101,102,101,100,99,99,98,98,97,95,108,109,109,109,107,126,219,220,219,197,180,165,152,168,145,115,101,98,101,101,100,99,99,99,100,98,95,102
7,211,210,210,211,210,210,210,208,207,203,204,204,202,200,199,200,198,196,195,193,191,190,188,187,185,183,182,180,214,213,212,213,210,211,210,210,209,207,206,206,203,203,203,203,201,198,196,195,194,193,192,189,188,185,184,182,217,216,214,214,213,212,212,212,211,211,209,207,207,207,206,203,203,201,199,199,197,194,193,191,191,188,186,185,219,218,217,218,217,216,215,215,213,212,212,211,210,210,208,206,205,203,202,201,199,197,195,193,193,190,188,186,221,221,219,220,219,218,218,217,215,215,213,212,212,212,211,208,207,204,203,202,201,200,198,197,194,193,190,189,223,223,221,221,220,220,220,218,217,217,215,214,213,213,213,209,210,209,206,204,203,202,201,198,194,194,192,191,225,225,223,223,223,222,222,222,220,219,218,216,215,214,214,214,212,211,209,207,204,203,203,201,199,196,194,192,228,228,225,226,226,224,224,222,219,218,223,224,222,218,217,215,213,213,211,210,208,206,204,202,202,199,196,195,229,229,228,226,227,227,222,232,210,174,203,188,204,217,222,223,222,215,211,211,210,208,205,203,203,201,198,197,229,229,230,229,228,226,226,252,221,231,216,133,114,135,163,179,195,216,222,216,211,209,207,206,206,204,201,198,232,231,232,231,231,227,239,243,237,254,214,153,134,116,111,125,126,138,169,202,211,214,213,210,207,204,203,200,233,232,232,233,232,230,245,236,245,241,214,207,211,159,107,106,115,114,112,113,131,148,172,197,213,205,204,203,236,235,234,235,230,236,247,247,251,236,226,233,218,182,142,111,110,112,103,108,109,111,108,149,214,209,206,204,236,237,236,237,233,243,245,252,247,233,231,228,209,200,183,145,106,110,102,103,113,114,111,106,130,161,204,206,237,235,236,234,238,248,253,244,236,230,221,214,216,217,196,159,117,105,112,107,120,113,105,100,96,110,195,209,239,238,239,234,239,250,255,245,234,225,206,209,221,217,194,153,124,114,97,131,213,196,176,164,160,180,210,208,240,239,240,230,244,251,251,235,228,224,211,211,218,199,173,143,121,119,109,124,225,225,224,223,221,218,211,209,241,240,240,228,252,255,247,223,225,226,215,209,198,165,155,141,117,123,130,117,201,226,217,218,216,214,213,210,243,243,232,230,255,253,240,224,223,217,207,200,169,157,157,137,126,122,120,158,222,223,219,219,217,214,212,211,243,246,222,239,255,245,232,233,220,210,202,182,163,166,150,135,103,94,155,219,227,223,223,221,217,215,214,212,244,240,217,251,250,236,230,228,207,204,191,173,174,163,138,130,130,191,231,229,225,225,224,222,217,215,213,211,248,224,225,254,244,232,230,218,207,197,183,177,168,150,125,184,238,236,230,228,227,227,223,221,219,217,215,211,243,212,241,244,239,231,221,216,201,183,182,169,154,129,151,236,236,231,232,231,230,227,225,224,220,218,217,214,229,224,242,235,236,234,210,196,179,174,170,154,134,143,223,240,234,233,232,232,230,228,227,225,222,219,217,214,218,236,235,234,237,218,186,173,163,156,150,133,154,225,242,236,236,235,234,230,229,229,228,225,222,220,218,216,217,236,241,247,212,188,173,156,144,135,124,140,231,244,237,238,237,235,234,231,230,230,228,225,222,221,218,217,224,226,246,230,183,190,164,138,130,123,133,212,247,239,240,238,238,235,234,234,232,230,228,226,224,222,219,217,223,223,231,212,188,197,163,129,120,132,224,248,243,242,240,238,237,237,236,235,232,230,229,227,225,221,220,218
1,195,196,197,197,197,199,201,200,202,203,203,200,185,198,201,200,199,198,197,197,196,196,195,193,191,191,190,189,198,200,199,200,203,204,204,204,205,209,211,205,157,144,210,203,206,203,202,203,201,200,199,198,198,197,195,192,201,203,204,204,206,206,206,209,209,195,190,217,178,95,126,149,208,209,206,207,206,204,204,202,200,200,199,197,204,206,207,207,209,210,211,211,214,187,115,200,194,84,104,123,155,223,206,209,207,207,205,205,203,200,201,200,206,209,210,210,211,213,215,215,214,206,117,169,201,93,114,151,98,218,213,213,212,210,209,207,207,205,204,204,208,211,213,215,215,215,216,218,216,218,132,134,208,119,127,166,88,197,222,214,214,213,214,213,209,208,207,208,212,214,214,215,217,218,219,207,204,225,152,112,187,119,136,187,102,172,229,215,217,216,216,215,214,213,211,209,214,216,216,217,218,220,223,184,136,225,171,92,169,122,124,185,111,158,234,218,221,219,217,217,216,216,215,210,216,218,219,220,220,223,225,202,113,202,175,85,177,151,91,188,131,146,235,219,222,220,219,220,219,218,217,216,217,220,222,222,224,223,227,206,116,185,200,100,151,163,88,184,165,137,237,221,223,223,221,223,222,222,219,218,219,222,223,224,225,225,229,212,120,172,212,105,104,146,133,180,136,120,226,228,227,225,224,224,224,223,223,222,221,225,226,225,227,227,229,216,136,129,202,106,108,137,139,163,112,108,111,152,239,225,225,225,225,223,222,223,224,226,228,228,230,231,226,225,153,102,180,135,141,130,142,156,146,119,82,89,214,233,227,227,226,223,224,224,225,227,229,230,231,233,228,222,170,144,160,132,143,130,164,192,145,93,137,123,150,243,227,229,229,226,225,224,226,229,230,232,232,233,234,229,193,156,146,125,139,142,169,181,152,151,210,174,120,223,233,230,230,230,228,226,227,230,233,233,234,234,235,236,200,152,130,122,135,146,179,188,192,183,167,188,114,164,246,228,230,230,229,230,229,231,233,232,235,236,234,239,213,160,116,123,139,152,196,198,223,220,180,146,92,96,240,232,231,230,230,230,230,233,235,236,236,240,234,237,238,181,124,127,142,173,194,204,216,208,178,142,85,79,230,237,235,231,231,232,231,233,236,238,236,239,238,234,247,211,154,122,145,183,201,220,224,205,177,151,80,111,244,234,236,233,233,233,232,234,237,240,240,241,243,229,249,237,189,138,139,172,211,232,226,208,194,148,71,157,254,235,238,237,236,234,233,235,238,240,242,243,245,229,244,247,210,159,148,168,212,238,230,222,191,131,69,200,249,237,239,238,237,234,235,238,239,241,242,241,244,235,229,241,227,174,161,167,206,227,240,221,170,108,85,236,242,240,241,240,239,235,235,240,239,242,242,241,243,244,213,226,228,188,161,160,194,220,220,189,139,79,121,255,242,241,241,241,240,238,233,238,238,240,241,241,242,247,220,205,212,191,170,161,172,190,178,138,96,67,199,253,241,241,241,240,241,239,234,238,238,240,241,242,242,244,241,198,200,192,177,171,147,149,155,118,66,138,254,242,243,241,241,240,239,236,235,239,239,240,241,242,244,244,248,216,208,189,169,165,133,132,139,97,68,222,250,243,242,242,241,240,239,236,236,238,239,240,241,242,243,244,247,220,210,178,159,161,143,134,117,73,107,252,242,244,243,242,242,242,241,237,236,238,240,241,241,242,242,244,251,218,220,207,184,183,157,143,107,63,133,255,243,246,246,244,243,242,241,238
1,130,132,133,134,135,135,134,134,134,132,131,131,132,130,130,133,131,127,125,125,124,122,119,118,116,115,113,112,132,132,134,134,135,135,135,134,134,133,131,132,131,133,132,107,118,129,125,124,123,122,119,119,117,116,114,112,131,132,133,135,135,136,136,136,135,134,133,135,130,100,116,87,77,136,128,125,123,122,121,120,118,116,115,114,132,134,135,135,136,137,136,136,136,135,135,135,134,79,80,99,55,78,97,131,124,123,122,120,119,117,116,115,134,136,136,137,138,138,138,139,138,137,136,136,131,72,82,99,38,63,60,125,128,124,123,122,119,117,117,116,136,138,137,139,139,140,140,140,140,138,136,141,125,61,90,88,36,80,56,114,131,124,124,123,122,120,118,118,138,138,139,142,142,142,141,141,141,141,106,115,122,60,103,90,42,86,50,106,134,126,126,124,123,122,120,118,139,141,142,143,142,143,143,143,142,144,95,82,125,64,102,85,43,92,56,104,136,128,129,127,125,123,121,119,141,143,143,143,144,144,144,144,144,142,80,87,107,57,103,69,52,103,59,98,138,129,129,128,126,124,123,123,142,143,144,145,146,146,146,145,147,138,66,96,92,58,107,67,70,106,48,99,141,131,131,129,127,125,124,123,143,143,144,146,146,147,148,147,148,138,68,97,105,63,110,79,68,103,50,106,142,133,132,131,129,127,125,123,144,145,146,147,147,148,149,147,152,131,56,97,113,61,104,78,59,106,63,103,143,134,133,132,130,128,126,124,144,146,148,148,149,149,150,148,154,132,61,93,105,46,86,56,58,110,58,101,146,134,135,133,131,129,128,125,145,148,149,149,149,151,151,149,155,138,65,76,102,68,85,93,91,78,58,85,138,137,135,134,133,130,129,127,147,148,150,151,151,152,152,150,156,128,81,96,92,96,92,97,98,66,66,51,83,145,134,134,133,131,130,129,148,149,150,151,153,154,154,154,156,136,116,91,70,77,80,88,86,76,59,63,62,134,137,134,133,131,130,129,148,149,151,152,153,154,155,155,160,139,103,71,64,67,84,94,77,69,87,101,62,107,145,135,134,131,130,128,149,150,151,153,154,154,155,157,161,135,98,66,66,71,92,99,102,109,98,110,82,80,145,136,136,132,130,129,151,150,152,154,155,155,156,157,157,138,103,67,67,78,96,108,116,132,103,99,95,60,135,139,135,135,132,130,151,151,154,154,155,156,157,157,154,139,111,76,59,81,98,112,116,117,114,90,72,41,129,141,135,134,133,130,151,152,153,155,156,156,157,158,152,142,120,88,64,68,100,123,124,119,101,80,57,47,140,139,136,134,133,131,150,151,153,155,156,157,157,158,151,137,118,91,71,68,105,132,125,113,95,76,42,83,151,138,137,135,134,132,151,153,154,156,156,157,158,159,150,134,119,97,77,79,113,129,118,106,87,69,37,124,147,140,138,136,135,131,151,154,156,156,157,158,159,160,155,137,121,107,90,87,120,125,118,100,79,50,58,150,141,141,138,137,136,134,152,154,155,157,158,158,160,161,160,140,123,113,98,87,111,114,104,88,68,28,111,153,142,142,140,138,136,135,153,154,155,158,159,160,160,161,161,150,130,117,103,85,97,101,85,70,33,66,153,146,144,143,141,139,137,135,153,155,156,157,156,158,161,162,160,153,133,110,100,93,92,88,69,37,61,151,150,147,144,143,141,138,137,135,153,155,156,157,157,160,162,163,155,150,134,113,114,97,85,76,47,36,139,155,147,148,144,143,141,138,137,135
24,117,123,130,135,140,144,148,152,155,158,162,166,168,170,171,174,174,175,175,175,176,177,177,177,178,177,177,176,119,126,132,138,142,146,150,154,158,161,165,167,171,173,175,175,175,176,177,177,179,179,180,182,181,180,179,179,121,129,134,143,145,149,152,155,160,164,168,170,173,175,177,177,178,180,181,181,182,182,184,184,183,182,183,183,123,131,139,128,147,151,155,158,162,166,170,172,175,177,179,180,181,183,184,184,185,184,185,185,184,184,185,185,123,135,145,77,119,158,155,161,165,168,171,174,176,179,183,183,183,184,184,186,186,184,186,186,186,187,186,186,125,136,136,71,68,163,157,164,167,170,174,175,177,181,184,184,184,185,187,189,190,186,188,190,189,190,190,189,127,136,145,92,44,145,163,163,170,173,174,180,184,186,185,190,190,186,190,190,191,190,190,191,191,191,191,190,129,136,149,112,40,113,171,166,170,174,180,178,162,178,192,164,176,195,189,191,193,192,190,192,192,193,191,194,132,140,149,132,68,68,170,164,124,109,165,175,125,84,137,147,96,163,199,192,193,192,193,193,193,183,161,117,132,141,146,156,101,42,129,159,132,116,120,186,150,81,112,164,93,81,203,193,194,194,195,195,185,162,108,83,134,141,147,158,123,75,81,144,179,156,112,172,165,102,135,165,91,57,185,201,197,197,195,189,169,118,85,186,135,142,148,153,151,114,79,68,177,170,109,147,173,102,129,167,93,39,161,207,197,199,190,184,148,72,148,211,136,144,150,154,163,124,92,92,127,183,128,119,179,110,111,174,115,33,145,211,200,186,187,178,107,67,198,201,138,146,152,158,164,144,156,138,104,153,134,74,155,105,82,172,135,38,101,213,171,166,183,143,62,151,209,200,139,147,152,158,159,173,172,106,70,96,123,46,116,104,68,211,172,31,32,112,136,164,149,75,112,214,200,205,138,145,153,159,161,170,157,114,87,84,109,77,101,117,66,109,88,37,88,126,139,134,93,73,198,206,204,205,139,147,151,157,162,165,186,163,111,92,89,104,73,145,99,74,145,158,165,147,109,95,52,143,215,201,205,204,139,148,152,156,161,166,186,176,143,119,93,80,86,135,161,198,194,177,159,134,92,65,78,202,203,203,205,204,139,146,153,157,163,166,184,187,172,137,96,71,117,169,199,190,180,162,144,116,80,57,169,209,202,206,206,206,140,147,153,157,164,166,184,195,184,136,96,92,139,181,196,187,172,147,120,100,56,126,214,202,206,207,207,207,139,146,153,159,163,166,177,189,193,146,124,131,133,180,191,186,162,137,109,76,68,199,205,203,206,207,207,207,134,143,150,156,162,168,172,182,187,156,132,142,115,160,178,170,150,132,96,56,149,220,207,209,208,209,211,210,81,85,86,89,94,101,101,143,181,154,135,132,94,123,154,136,126,106,73,82,177,179,184,187,190,194,200,202,71,70,73,74,73,75,69,88,184,161,125,113,81,114,148,124,99,81,63,76,81,82,87,89,90,95,96,95,75,77,81,82,83,83,85,79,169,150,112,99,94,118,143,114,83,61,62,86,86,86,86,88,82,79,89,105,75,75,77,78,78,80,81,78,173,146,124,119,118,119,128,101,67,52,70,88,88,88,89,93,115,160,171,155,76,77,80,79,79,81,80,84,189,165,149,143,125,109,119,87,60,50,78,90,88,90,83,114,193,182,202,169,78,78,80,80,80,82,80,90,181,165,159,148,110,98,110,75,60,47,78,90,88,89,88,177,217,174,158,200
13,140,143,148,155,161,165,168,170,173,176,180,182,184,187,188,190,192,193,192,193,194,195,194,194,194,194,192,193,141,145,151,157,164,167,171,173,175,177,181,184,187,190,191,189,190,193,198,195,196,195,195,196,197,195,195,195,143,147,153,160,164,169,172,175,178,179,184,187,188,189,195,206,207,168,154,197,196,202,197,199,199,197,197,196,146,149,155,162,167,171,174,178,181,183,186,188,192,194,199,231,218,161,103,110,143,159,200,199,199,198,199,198,146,151,156,162,168,172,175,179,182,187,186,191,196,158,156,174,214,159,101,80,147,106,131,210,198,200,200,199,148,152,158,163,169,172,175,181,183,186,186,225,214,171,131,129,198,196,122,92,157,104,103,210,200,201,201,200,150,154,160,165,171,175,178,180,186,189,140,183,235,208,164,87,136,220,133,89,165,107,121,214,202,204,202,202,150,154,160,167,173,177,180,178,217,205,149,94,193,231,182,110,63,160,130,88,196,118,148,216,202,205,205,204,151,156,162,169,174,179,177,209,220,219,188,112,106,232,176,118,44,63,77,81,184,113,189,212,205,206,206,206,151,157,166,171,175,177,195,210,170,216,201,136,65,194,166,106,48,44,82,122,141,95,150,218,205,208,208,207,153,159,168,173,177,180,223,210,158,188,178,123,60,158,166,117,46,72,145,156,132,118,101,201,212,209,210,208,156,162,171,177,177,193,220,188,148,172,151,104,44,132,192,132,62,164,189,161,117,102,100,146,221,208,209,209,157,165,174,180,178,212,214,184,140,145,141,103,34,92,193,109,124,211,182,154,119,101,90,125,225,210,211,212,158,167,177,182,179,218,229,200,163,117,130,93,43,85,187,162,201,197,171,140,114,96,71,166,222,211,215,214,161,170,180,187,183,225,231,203,173,122,102,100,132,187,217,221,211,184,155,128,110,81,89,214,215,214,216,215,166,175,183,190,188,233,240,212,172,152,153,157,177,205,216,211,202,172,144,123,100,65,139,229,212,216,216,216,169,178,186,192,194,235,236,224,182,175,172,152,194,198,217,207,187,162,139,114,92,59,180,226,216,218,217,216,172,182,189,195,198,226,233,232,199,188,176,162,205,206,205,195,169,147,123,106,72,89,225,220,220,220,218,218,175,184,194,199,200,214,234,230,210,193,176,170,195,212,192,174,151,133,118,94,66,190,230,220,221,221,222,222,178,186,196,201,203,206,229,222,217,198,184,175,183,203,187,161,140,121,113,72,167,238,222,224,224,224,222,221,181,189,197,202,208,204,220,224,217,211,203,183,176,195,181,148,123,116,86,131,239,225,227,228,227,223,229,233,182,193,201,205,212,203,212,229,217,214,205,179,170,180,167,134,108,103,94,220,232,228,230,229,227,234,209,151,185,196,204,209,212,208,213,218,187,191,193,176,165,170,151,129,109,80,168,242,230,232,229,231,237,159,68,46,187,197,205,209,213,211,214,221,185,199,203,193,166,162,145,133,103,87,216,234,234,233,242,241,143,59,47,35,188,197,204,208,213,210,209,234,198,211,212,195,165,152,144,135,99,99,231,233,235,240,199,115,54,60,62,26,189,198,206,210,213,215,210,236,217,230,220,198,171,152,143,136,93,108,239,230,246,176,68,44,34,57,68,39,191,201,208,212,215,220,192,233,227,228,215,190,172,156,144,133,91,99,234,242,217,87,62,63,29,33,61,53,193,203,209,213,217,221,116,219,225,220,205,186,175,158,148,122,93,64,230,245,123,68,60,57,39,17,47,58
7,182,184,184,186,188,188,187,188,188,188,188,189,189,189,189,189,189,189,189,189,187,186,185,184,182,181,180,179,183,185,186,187,188,189,189,190,190,190,189,190,190,190,191,192,190,190,190,190,189,188,187,185,183,183,183,181,185,186,188,189,190,191,191,190,191,192,192,192,193,193,193,192,192,193,192,192,191,190,188,187,186,185,184,183,186,188,189,191,192,192,193,193,193,193,195,194,194,195,194,193,193,194,194,193,192,191,189,188,188,187,185,183,189,190,191,191,193,194,194,194,194,195,195,195,195,195,195,195,195,195,195,194,194,193,191,191,190,189,187,187,190,192,193,194,194,195,195,196,196,196,195,197,196,197,197,196,196,196,196,196,195,193,193,193,191,189,188,187,191,193,193,195,196,197,197,197,198,197,197,198,198,198,198,197,198,198,197,197,197,195,194,194,193,191,190,189,193,194,194,196,197,198,198,198,200,202,201,200,200,201,200,200,199,200,200,198,199,198,195,194,195,194,192,191,193,195,196,197,197,199,202,205,195,179,191,198,198,196,199,200,201,200,199,198,196,195,200,197,195,194,193,192,194,195,197,200,204,206,208,211,203,174,158,176,188,186,189,188,187,189,189,191,187,198,212,185,198,195,194,193,197,202,206,209,209,206,204,202,200,176,147,159,173,180,180,175,172,175,172,179,172,172,162,182,199,195,195,195,209,210,209,206,201,195,188,188,194,179,150,142,149,165,174,182,180,173,174,177,169,169,173,175,196,193,195,196,209,206,201,196,193,188,187,192,201,190,154,144,144,140,144,148,150,151,159,163,162,164,173,167,174,172,197,196,205,197,188,185,182,184,187,194,190,172,152,147,155,157,151,132,136,178,174,172,166,165,167,170,170,190,200,198,203,194,184,180,181,181,177,185,192,173,144,129,142,158,160,155,138,191,214,208,208,207,206,204,206,204,200,200,204,197,190,186,186,186,182,184,196,184,153,140,145,144,143,143,136,197,209,206,207,206,205,204,202,203,202,203,199,197,195,190,187,186,185,188,196,183,158,156,163,153,154,129,170,217,208,209,208,207,207,206,205,205,206,191,191,194,195,194,189,184,181,183,177,168,155,153,159,156,146,148,213,210,209,210,208,209,208,207,206,210,170,127,160,182,196,192,183,179,173,165,152,139,127,105,114,141,131,178,219,209,210,210,210,209,209,208,212,196,125,129,83,106,146,174,165,151,152,155,174,187,132,97,112,130,150,209,211,211,211,210,209,208,207,209,207,159,121,117,67,61,69,81,133,192,201,212,215,221,202,143,161,179,207,214,212,212,211,209,209,214,210,207,156,116,109,92,63,63,59,61,193,218,212,212,211,211,214,214,215,218,214,213,213,213,211,215,216,181,146,129,112,103,94,82,57,57,50,79,215,210,211,213,213,213,213,212,211,211,213,214,214,212,214,196,150,120,119,111,104,93,84,78,58,59,49,70,214,211,211,212,213,213,213,214,213,213,214,214,213,222,198,127,92,94,109,101,96,96,88,75,65,61,39,68,219,215,216,216,216,218,218,219,218,219,218,218,220,195,142,121,95,76,89,95,89,91,93,79,64,50,35,56,180,186,187,190,191,193,195,196,197,199,199,202,191,122,97,123,92,70,73,87,83,84,93,86,53,39,39,61,125,122,124,125,127,130,132,132,134,135,132,142,142,104,90,117,89,65,70,77,78,79,88,89,42,42,40,79,135,127,128,129,128,128,128,129,129,126,130,138,129,96,85,110,85,65,66,73,75,76,82,88
14,142,146,150,154,157,160,162,164,166,167,168,170,171,172,173,173,173,172,172,172,172,171,171,170,170,169,168,168,142,146,151,155,158,161,163,165,167,167,169,171,172,173,174,174,174,173,173,173,173,172,172,171,171,170,169,169,144,148,152,156,160,161,163,166,168,169,171,172,173,174,175,176,176,175,174,174,174,173,173,172,172,171,171,170,145,149,154,158,160,162,165,168,170,171,173,174,175,176,177,177,177,176,176,175,175,174,174,173,173,173,172,171,146,150,155,158,161,164,166,169,171,172,174,175,176,181,186,182,182,180,176,175,176,175,175,175,175,174,173,172,146,150,155,159,163,165,167,170,172,173,175,177,180,201,211,204,200,190,174,165,167,173,175,176,175,175,174,173,147,152,157,160,164,166,168,171,173,174,176,177,191,215,217,210,198,183,171,162,155,152,164,175,175,175,175,174,148,154,158,162,165,167,170,172,174,176,177,182,208,219,198,173,154,139,139,144,135,112,122,157,174,176,176,175,149,154,159,163,166,169,171,173,176,178,179,191,221,211,163,117,101,98,99,110,111,104,100,117,161,177,177,177,150,155,159,163,167,170,172,175,177,179,181,206,223,192,131,86,83,87,82,89,102,113,105,96,130,169,178,178,152,156,160,165,168,171,173,175,178,179,188,220,209,156,97,71,80,86,83,86,94,100,105,110,114,145,171,177,154,158,162,166,169,172,174,176,178,182,204,222,180,121,79,68,69,75,86,91,100,103,111,121,126,135,148,173,155,159,163,167,170,173,175,178,180,192,226,218,165,115,88,80,75,74,88,108,135,134,129,129,148,137,138,173,155,160,164,168,172,174,176,179,182,208,239,211,158,116,96,87,85,85,96,142,177,179,171,161,162,128,137,176,156,161,166,170,173,176,178,181,184,219,241,204,150,112,96,86,86,92,119,173,188,188,183,171,161,124,134,176,157,161,166,171,174,177,180,181,187,226,239,200,145,105,88,81,84,92,142,186,190,189,180,166,156,123,127,172,157,162,167,171,174,177,180,181,191,232,237,200,148,105,84,77,76,82,141,186,190,188,170,158,150,126,128,169,158,163,167,171,175,178,180,181,197,238,234,198,150,106,81,71,71,74,103,152,179,177,160,156,144,128,144,177,158,162,167,171,175,179,181,183,206,242,230,194,150,107,78,68,75,83,89,106,130,143,156,160,142,136,168,185,159,163,168,172,176,180,183,185,216,244,226,191,151,109,78,68,76,86,94,105,113,128,153,150,136,155,183,187,158,163,168,172,176,180,183,188,225,241,220,187,154,113,82,74,81,91,106,121,125,129,142,136,145,178,188,188,157,162,168,172,176,180,182,191,229,236,212,187,161,117,89,86,95,107,122,129,126,123,125,131,166,188,189,189,157,163,169,173,177,180,182,194,229,229,207,193,165,119,99,94,106,121,132,128,120,116,122,149,183,190,190,189,159,164,170,174,178,180,182,196,227,224,209,201,169,128,108,97,111,127,132,124,115,118,151,181,192,192,192,190,159,164,170,174,178,181,183,198,227,226,216,207,176,139,114,100,109,124,127,118,112,136,181,193,193,193,192,191,159,164,170,174,178,181,184,203,233,232,224,210,178,141,116,103,106,118,119,114,121,163,192,195,194,193,192,190,158,163,169,173,177,181,183,206,235,234,226,204,168,135,116,107,107,113,113,118,149,185,195,195,194,193,191,189,157,161,167,171,175,179,182,208,234,233,221,190,155,128,115,109,110,111,115,141,179,193,195,195,193,192,190,188
21,161,164,166,168,169,171,172,175,177,178,178,177,176,181,179,179,180,180,178,179,179,179,180,179,177,177,176,174,163,165,167,170,171,173,175,177,178,179,177,184,192,163,180,182,182,182,181,180,180,181,181,181,180,178,179,178,164,167,169,171,173,175,177,178,178,181,178,195,218,156,157,188,183,183,184,183,183,184,182,182,183,183,181,179,166,168,170,172,175,177,178,180,181,184,184,182,219,185,134,182,187,185,186,185,185,185,183,186,178,173,183,180,166,170,172,174,176,178,180,182,183,184,186,182,202,210,159,163,190,186,187,186,187,187,184,204,167,136,187,182,167,171,174,176,177,179,181,184,185,185,185,185,190,225,192,150,184,190,188,189,189,186,191,211,156,140,189,182,169,172,175,177,178,181,183,185,186,186,187,189,186,221,208,152,167,193,189,189,190,185,204,206,143,160,191,184,171,173,176,178,180,183,183,185,186,188,188,190,185,210,218,165,152,194,190,190,190,191,217,193,140,179,191,188,173,175,177,179,182,184,185,187,188,189,190,191,188,201,215,184,144,191,193,193,189,202,209,171,138,192,189,189,173,176,179,181,183,185,187,188,189,191,192,189,200,225,207,190,130,157,199,190,194,214,200,144,156,197,189,189,175,178,180,183,184,186,188,189,190,191,191,196,205,222,210,187,154,128,183,197,203,216,191,135,185,195,192,190,176,178,180,183,186,188,189,189,191,193,195,228,201,193,226,202,195,184,151,176,196,201,161,146,200,193,193,192,177,179,182,184,187,189,190,191,193,193,203,213,213,197,183,190,219,204,148,126,163,165,130,173,200,194,195,194,178,181,183,185,188,190,190,192,194,191,206,206,182,151,109,117,195,204,162,122,133,136,127,194,197,196,196,195,179,182,183,186,189,190,192,195,196,192,210,201,149,148,133,116,151,219,185,137,116,117,139,203,197,197,196,195,179,183,184,187,189,191,194,195,197,194,213,209,195,176,141,143,138,213,206,153,116,106,155,207,198,199,197,197,180,183,186,189,190,193,194,196,198,195,223,225,187,161,144,160,156,215,222,174,130,102,159,208,198,200,200,199,182,185,188,189,191,193,194,196,199,197,226,209,169,157,161,174,184,230,221,186,146,108,155,209,198,200,200,199,182,184,187,190,192,195,196,197,199,199,225,213,187,180,180,182,208,234,214,184,150,109,155,210,199,200,200,200,181,183,187,189,192,194,195,196,199,196,226,223,197,183,189,195,220,234,213,178,156,111,152,211,199,201,200,200,183,186,188,190,193,195,195,197,200,196,223,230,207,185,193,204,229,233,217,180,155,114,156,211,200,201,201,200,184,187,189,191,194,195,196,199,201,197,219,233,209,195,194,214,234,224,210,177,152,112,160,211,202,202,202,201,184,187,190,191,194,195,198,199,202,201,215,234,213,211,203,216,234,222,204,178,147,111,155,214,203,205,204,204,185,188,190,194,195,197,200,201,203,203,209,232,221,220,215,212,229,211,196,175,141,108,152,215,204,206,205,204,186,188,191,194,195,198,201,202,204,204,203,223,227,223,217,207,215,198,185,172,136,104,158,215,205,205,209,207,181,185,188,191,195,198,200,201,204,206,203,216,232,223,206,190,199,190,176,176,132,98,182,220,211,214,197,148,137,138,141,144,146,147,151,152,152,152,154,170,230,215,191,169,177,191,174,172,123,98,168,177,176,180,130,108,115,116,116,116,115,116,119,118,115,119,107,96,213,199,174,161,172,192,164,163,111,85,100,114,120,122,103,104
6,156,158,160,162,164,165,166,167,168,168,168,167,166,166,166,166,166,165,165,165,164,162,162,162,160,160,159,156,157,159,162,164,165,167,167,168,169,170,170,169,169,168,168,167,167,167,166,165,165,164,164,164,162,161,160,159,158,161,164,165,166,168,169,170,170,171,171,171,171,171,170,169,169,168,167,167,166,165,166,165,165,164,162,161,159,162,164,166,168,169,171,172,172,172,172,172,172,172,172,171,171,170,169,168,167,165,165,164,165,166,165,164,161,164,166,167,169,171,172,173,173,173,174,173,172,168,161,159,160,162,157,157,151,151,171,151,151,168,166,165,162,165,168,170,171,173,174,175,174,174,174,173,169,161,148,145,155,162,156,156,147,146,169,137,133,169,167,166,165,166,168,171,172,174,175,176,177,179,184,182,178,167,154,145,147,150,146,142,140,129,129,125,154,170,169,167,165,167,170,172,173,174,174,178,185,186,182,170,158,141,129,113,108,115,123,128,132,140,151,163,171,171,170,168,165,167,169,171,182,186,175,174,174,169,158,150,141,129,123,114,106,144,161,167,171,174,175,175,172,172,172,170,165,168,171,172,196,187,168,163,161,167,171,168,158,150,147,144,111,139,179,177,177,176,176,176,174,173,173,172,165,168,171,176,189,166,156,160,166,173,178,176,167,158,150,133,102,111,177,179,179,178,177,177,175,174,173,172,166,169,171,187,192,163,156,158,163,169,173,172,162,148,142,123,88,92,165,180,179,178,178,177,175,175,174,173,168,171,172,190,176,165,165,162,163,167,173,174,160,141,142,131,87,81,144,182,179,178,178,178,177,177,175,174,169,172,173,186,179,180,173,172,173,179,181,173,159,150,144,122,91,82,132,182,180,179,179,178,178,177,176,175,169,172,173,185,199,196,173,169,170,168,166,162,154,144,127,102,90,87,125,182,181,180,180,179,179,178,176,175,171,173,174,184,206,199,176,165,154,140,139,145,143,141,134,94,84,93,140,183,182,181,181,180,179,179,178,176,171,173,173,186,198,194,181,163,150,153,165,166,152,146,146,107,80,113,175,183,182,181,181,181,180,180,178,177,171,174,174,188,193,195,188,166,160,170,176,161,148,139,129,106,90,136,184,183,182,182,182,181,180,180,179,178,172,175,175,188,194,190,184,169,163,168,166,155,140,126,109,96,97,155,186,184,183,182,183,183,181,181,179,178,172,175,174,187,194,189,181,169,162,159,146,133,115,100,93,94,116,174,186,185,184,184,183,183,181,181,179,178,172,175,173,182,191,190,177,162,150,138,117,98,78,73,85,124,169,186,186,185,186,186,184,183,182,181,180,179,172,174,172,178,186,178,160,147,136,117,96,81,69,81,110,172,188,186,185,186,186,185,184,184,182,180,179,179,171,174,171,173,180,163,149,144,135,107,92,87,76,94,149,186,186,186,186,185,183,182,183,183,182,180,179,177,172,174,168,166,174,154,150,148,125,101,94,94,89,133,182,187,186,187,186,185,183,183,182,182,181,180,178,177,172,173,165,162,168,148,155,148,119,100,93,100,125,178,187,187,187,187,186,185,184,183,182,182,181,180,179,178,172,174,163,164,165,151,156,144,118,99,94,106,163,188,187,187,188,186,185,185,184,184,183,182,181,180,179,178,171,174,157,168,167,149,151,134,108,95,97,113,174,187,186,187,187,186,185,184,185,184,184,183,182,180,179,178,170,171,153,174,163,143,139,118,100,94,100,126,183,186,185,184,185,184,183,183,183,182,183,182,181,180,180,178
19,162,163,167,167,165,165,165,165,164,164,164,163,163,162,161,161,159,159,158,157,156,155,155,152,152,150,149,147,165,165,166,165,166,166,166,166,165,166,166,164,164,163,161,161,162,160,157,157,156,155,155,153,153,153,149,147,166,166,166,168,170,170,169,172,171,165,167,167,166,164,163,162,163,161,160,158,158,157,156,156,154,151,149,150,166,168,171,171,170,171,161,142,150,174,165,168,168,164,165,164,163,162,161,159,159,158,157,156,154,152,151,150,169,170,171,173,166,192,183,145,98,141,176,168,169,166,167,166,164,163,162,160,160,160,158,156,154,154,153,151,171,171,171,173,168,180,214,177,126,69,159,174,169,168,165,166,165,165,163,162,161,161,160,157,156,156,154,150,172,174,173,175,173,171,209,192,145,63,95,184,169,168,166,167,167,165,163,162,161,161,161,159,158,156,153,153,175,175,174,175,175,167,200,189,134,74,56,172,172,170,169,167,167,167,162,162,162,162,162,160,159,156,155,153,177,175,177,178,173,198,195,165,132,74,50,165,178,176,173,170,168,169,165,163,165,164,161,162,161,158,155,153,176,177,179,172,210,231,193,160,161,147,124,151,154,162,173,175,172,170,168,166,163,164,163,162,161,160,156,156,180,181,175,190,223,179,137,128,153,189,196,178,157,142,131,148,164,171,172,166,165,165,164,163,162,160,157,156,180,181,178,226,216,185,123,76,92,152,191,201,198,188,154,141,131,147,156,167,170,168,166,165,163,161,159,157,183,176,210,233,206,184,160,122,90,104,137,161,177,187,184,183,176,173,143,126,142,161,172,166,163,162,161,158,182,183,223,206,173,157,149,150,158,141,125,118,117,128,150,167,184,198,187,151,127,101,130,164,167,162,161,158,177,207,235,201,150,122,124,110,157,178,162,145,118,80,81,128,132,152,163,165,155,125,111,135,151,165,161,160,185,236,242,199,163,144,139,134,129,153,176,171,147,105,84,133,175,157,145,135,134,138,147,134,115,170,162,161,206,240,222,188,165,163,168,169,161,111,103,146,146,129,114,87,173,183,179,173,160,147,135,130,151,168,163,162,225,231,204,169,139,154,191,182,187,127,80,113,96,116,121,101,175,179,178,178,179,177,170,170,169,164,165,163,226,232,201,151,122,92,141,181,203,164,137,112,98,81,83,153,183,179,179,177,174,172,172,171,168,165,164,161,238,239,188,153,140,134,121,126,111,174,180,128,121,87,145,187,179,180,179,178,176,173,172,170,169,167,164,162,241,222,183,160,152,151,150,134,113,141,153,146,102,124,190,180,180,181,180,178,176,173,173,172,171,169,167,163,229,212,191,170,165,161,148,129,115,114,101,87,135,182,186,183,183,181,180,179,177,175,174,173,171,169,167,164,226,202,180,163,156,164,153,134,114,121,98,129,193,187,186,183,184,181,180,179,177,177,176,175,173,171,168,164,218,199,175,135,110,112,119,121,116,111,125,187,188,187,187,184,181,181,179,179,179,177,175,174,172,171,168,167,201,178,144,100,76,55,117,149,135,160,191,194,194,193,192,190,186,186,186,186,185,180,174,171,175,180,179,169,175,139,102,90,75,64,154,173,167,167,161,162,160,159,158,158,158,157,160,151,144,158,178,188,186,170,163,153,132,107,90,86,79,76,76,73,69,67,67,69,68,65,64,66,66,64,57,82,135,176,180,167,159,168,172,129,102,90,85,81,84,81,76,76,72,70,71,71,69,68,66,67,65,61,124,193,184,169,156,162,143,170,204,138
18,159,161,164,166,168,170,172,173,176,177,179,178,179,179,179,181,182,182,182,182,182,183,183,183,183,182,182,181,161,163,165,167,170,172,174,176,177,178,180,180,180,181,181,183,184,184,185,184,183,183,184,184,184,184,184,183,162,164,167,169,171,173,176,178,180,180,182,182,183,183,184,184,185,184,184,185,184,185,186,186,187,187,187,186,165,166,169,170,173,176,178,180,181,182,183,184,185,185,186,186,187,187,189,187,187,188,188,188,189,188,188,187,165,168,170,173,175,178,180,181,183,184,186,185,186,188,189,188,187,186,176,186,191,192,192,189,190,190,190,189,166,169,172,175,176,179,181,183,184,186,187,187,188,190,188,186,203,179,144,138,189,179,177,194,193,191,190,191,168,170,174,176,177,179,182,183,186,189,188,190,192,190,168,145,183,160,117,114,119,154,135,154,200,192,193,193,170,172,176,177,179,182,183,186,187,189,190,185,185,212,163,135,161,155,119,115,98,149,154,109,175,200,194,194,171,174,177,179,182,183,185,188,189,189,198,173,136,173,184,157,166,173,158,155,141,130,140,109,144,206,194,195,171,175,179,182,183,184,187,189,189,192,208,187,158,126,174,171,141,176,184,182,180,149,108,96,143,207,197,199,174,175,179,182,184,186,188,191,191,197,194,203,183,140,129,171,128,141,183,180,183,154,112,84,153,208,198,200,175,177,180,182,184,187,189,191,191,200,167,180,177,155,108,135,142,122,155,152,174,159,122,84,160,208,199,200,176,179,182,185,187,188,190,192,192,202,153,137,165,133,95,109,132,105,112,144,183,173,134,88,175,205,199,201,177,179,182,185,188,189,192,194,195,205,183,154,151,113,86,102,117,93,94,108,193,182,146,96,181,208,200,201,179,181,183,186,188,190,193,195,197,204,179,144,139,113,85,95,117,81,81,135,197,195,160,106,128,211,201,202,179,182,183,186,188,191,193,194,197,203,190,159,134,114,84,97,118,81,143,203,198,190,157,122,97,196,208,204,180,183,185,187,188,191,194,196,196,207,200,173,141,117,105,96,97,146,212,209,203,178,143,121,106,198,208,205,182,184,186,188,190,193,195,197,197,208,201,175,148,131,122,117,140,201,213,204,190,169,129,107,117,210,205,206,183,184,186,189,192,194,197,199,198,206,203,183,162,151,137,127,164,208,214,198,168,150,124,96,138,215,205,207,182,185,187,189,192,194,197,200,198,204,203,187,168,150,140,130,164,207,213,189,162,138,117,95,161,216,205,207,183,186,188,190,192,195,197,201,199,200,200,188,168,151,158,136,153,206,208,177,150,128,111,97,183,214,207,209,184,186,188,192,194,196,199,199,201,198,196,193,176,165,168,141,138,205,194,165,136,118,106,107,203,212,210,210,184,186,189,192,194,197,198,198,200,199,194,190,180,165,168,148,132,197,181,151,127,112,100,126,216,210,211,211,184,187,188,191,193,195,197,198,200,202,197,192,184,167,162,148,128,185,170,135,120,111,94,151,220,209,211,211,183,185,187,190,194,194,196,199,201,201,200,199,183,162,152,132,118,168,149,120,114,110,99,184,215,210,211,211,183,185,188,190,194,195,197,199,201,194,203,198,172,153,132,115,124,156,133,122,117,103,135,212,208,210,211,211,184,186,189,191,195,196,198,200,200,194,212,195,173,159,137,133,132,153,126,125,114,103,187,213,209,211,211,211,184,186,189,192,195,196,198,201,198,198,212,201,183,170,143,134,144,142,127,124,97,147,215,208,211,210,211,212
4,165,166,167,169,171,172,173,174,175,176,178,179,179,178,178,177,177,177,176,176,175,174,173,173,175,175,173,171,164,165,167,170,171,172,173,175,176,176,178,178,180,178,178,176,178,178,178,176,176,176,176,175,175,174,173,172,166,167,169,171,172,174,175,174,176,176,179,179,180,179,177,182,177,179,180,179,178,178,177,176,175,175,174,174,167,169,170,171,173,175,176,177,178,179,182,179,193,182,162,159,189,178,161,175,181,178,177,176,175,176,175,175,168,170,170,172,174,176,177,178,180,183,170,190,220,176,164,132,204,172,148,129,179,181,182,178,176,176,176,175,169,172,172,173,175,179,178,176,217,214,183,154,218,188,154,155,215,177,153,98,170,158,157,183,177,177,178,177,168,173,174,172,176,180,175,192,235,231,200,127,189,203,141,172,222,175,131,144,185,138,102,154,184,177,179,178,170,173,175,175,177,179,174,214,221,225,183,124,184,204,151,169,199,182,196,183,130,127,94,108,184,180,180,179,172,173,176,179,179,177,184,225,195,218,169,109,168,191,197,190,202,229,230,186,124,94,91,97,185,181,180,180,172,175,176,178,181,175,196,223,183,201,176,96,146,176,184,203,213,216,200,193,154,100,76,105,188,181,181,180,173,175,178,179,181,178,220,217,180,179,190,94,125,172,117,154,186,191,182,201,165,120,73,117,191,180,182,181,174,175,177,181,175,198,229,191,168,156,136,82,125,179,88,135,176,146,189,208,176,136,82,137,191,181,183,182,174,176,179,182,174,217,219,177,149,151,129,105,126,155,94,140,191,97,192,225,192,151,93,163,190,183,183,183,175,178,180,180,180,233,216,175,145,134,121,114,120,119,113,118,151,112,182,237,204,162,100,137,194,184,185,183,176,178,182,178,188,244,213,176,144,126,109,114,125,123,156,156,175,203,194,215,200,156,118,99,188,188,186,185,177,181,184,176,200,246,212,174,138,130,117,119,118,130,175,187,213,208,209,183,174,162,133,97,178,190,186,185,178,180,183,176,212,245,213,166,141,149,130,115,109,152,201,212,212,202,195,167,138,156,124,109,186,187,186,186,177,180,182,175,222,244,209,169,169,169,136,127,167,215,225,212,211,200,175,151,126,127,101,138,194,186,187,186,175,178,182,176,227,241,212,193,197,174,140,185,223,231,232,212,204,186,162,141,120,107,99,175,189,188,187,186,175,179,182,179,232,239,224,208,200,186,149,208,228,232,238,204,182,171,153,137,116,90,135,195,188,188,186,187,177,180,183,180,233,242,232,211,193,189,159,213,234,233,224,194,166,155,145,130,105,98,182,192,189,188,187,187,177,179,185,178,224,246,231,215,193,185,177,216,232,217,203,181,154,146,137,117,91,139,197,188,190,190,189,188,178,181,184,177,212,241,221,212,199,185,183,203,214,200,181,162,151,149,129,100,102,186,192,192,190,189,188,187,178,180,185,178,215,231,208,206,206,192,185,194,204,189,173,152,145,141,120,90,153,199,189,190,190,188,187,186,178,180,185,176,213,222,200,206,207,187,171,190,204,189,166,140,134,132,104,125,195,193,192,191,189,189,188,188,176,179,184,178,205,224,203,205,196,186,166,182,207,183,148,123,126,116,107,179,192,189,191,190,187,186,187,186,128,128,133,119,176,236,213,212,195,188,169,172,202,169,134,119,117,105,104,121,120,119,119,119,117,120,119,114,98,97,102,85,153,248,225,218,203,195,174,161,197,169,132,116,108,98,92,91,88,89,89,88,89,87,92,158
21,170,171,173,174,175,175,175,176,177,177,177,181,178,178,178,178,177,177,177,178,177,176,176,175,174,173,173,172,173,174,178,178,178,178,178,179,180,181,178,160,181,181,181,181,180,180,181,181,181,180,178,178,176,175,175,174,176,178,180,181,182,182,182,182,182,184,190,128,162,190,183,185,184,183,183,183,182,182,181,180,180,179,179,177,179,180,182,182,184,184,185,186,186,186,195,133,144,195,186,187,189,188,185,186,184,184,183,182,182,182,180,180,182,183,185,186,187,187,188,189,188,190,197,134,130,196,189,181,154,180,192,188,188,187,186,186,185,185,183,181,185,186,188,189,191,191,191,192,192,191,202,151,125,194,193,180,133,140,200,190,190,189,189,188,188,187,186,185,188,190,192,193,193,193,194,194,195,192,208,182,125,185,200,178,139,127,198,195,193,193,192,191,190,189,187,186,190,192,193,194,195,195,196,197,198,194,210,189,125,171,205,177,141,123,192,200,196,195,194,193,192,192,191,189,192,194,196,197,197,198,199,199,199,195,213,201,139,159,208,185,162,130,187,202,198,198,197,197,195,194,193,192,194,196,197,198,199,199,200,200,200,200,192,187,164,148,210,182,160,130,184,205,199,199,198,198,197,197,195,194,197,199,198,199,201,201,201,202,201,207,187,150,146,142,207,179,171,129,183,209,202,201,200,199,199,199,198,195,198,199,200,201,202,203,203,205,202,218,209,168,111,121,206,185,186,142,186,210,203,203,203,202,201,200,199,199,199,201,203,203,204,205,205,206,205,218,216,169,137,166,167,157,168,148,154,213,205,205,204,204,203,202,201,200,201,203,204,205,205,207,208,206,201,188,203,173,129,152,141,154,148,150,135,191,212,207,206,205,205,204,203,201,203,205,206,208,208,209,209,210,195,140,163,191,117,84,128,142,119,182,153,156,217,207,209,207,206,205,204,203,205,206,208,209,209,211,209,213,204,161,123,194,148,96,108,96,154,211,182,138,201,212,208,209,208,207,206,204,205,208,208,209,210,210,214,204,200,188,121,179,172,98,117,169,157,198,192,138,156,220,208,209,209,208,208,207,207,208,209,210,211,212,213,218,188,182,132,113,120,87,116,199,191,180,160,129,121,210,212,209,209,208,208,208,208,209,210,211,213,213,212,208,173,171,133,102,93,104,154,202,204,178,137,119,122,208,214,211,210,209,209,209,208,210,210,213,215,215,212,207,201,158,153,135,107,144,198,211,197,174,139,112,140,221,213,213,212,211,210,210,209,211,212,214,214,216,212,217,192,175,163,151,118,173,217,208,199,171,136,103,177,225,213,214,213,212,211,210,210,212,213,214,215,216,215,217,204,186,152,191,178,212,221,214,199,156,125,108,206,220,216,215,214,214,212,211,211,213,214,215,215,217,217,213,213,176,174,189,199,224,230,222,185,142,110,131,224,216,217,216,216,214,213,213,212,214,214,215,217,217,218,203,206,190,187,174,194,216,224,208,166,136,103,164,230,218,217,217,216,215,215,213,212,213,214,215,216,216,218,200,200,196,189,174,188,204,202,180,144,122,107,205,224,219,219,218,217,216,217,217,210,212,214,215,215,215,220,211,191,190,185,183,174,179,183,155,125,102,155,229,220,220,219,219,217,216,214,206,211,213,215,215,216,216,218,220,192,188,184,188,168,166,173,143,113,109,211,222,221,219,219,219,218,217,215,151,212,213,215,215,217,217,218,222,199,183,173,174,161,158,162,138,100,136,226,219,221,221,221,217,222,191,162,128
19,206,210,212,212,213,216,216,215,215,217,217,217,216,216,214,212,218,215,210,210,210,210,210,209,207,208,207,206,209,210,213,213,214,217,217,217,218,219,218,218,218,216,217,208,172,196,218,212,213,212,212,211,209,209,208,207,211,212,214,216,217,218,220,220,220,219,219,221,221,217,233,206,148,131,222,215,216,214,213,212,211,210,210,209,212,214,216,219,219,220,221,222,223,220,221,223,221,223,242,207,167,113,210,219,217,216,216,216,212,211,212,212,213,217,219,220,221,222,223,223,223,222,223,224,221,230,239,200,161,107,209,222,218,219,215,213,217,213,213,214,215,218,220,220,222,225,226,224,224,224,223,226,220,235,234,177,140,100,206,218,213,208,213,238,198,211,216,215,217,219,221,223,224,226,226,226,226,226,225,225,221,232,228,185,178,193,222,209,220,216,229,255,156,202,218,215,218,220,223,227,226,227,227,227,227,227,224,229,233,231,222,219,228,246,237,215,213,214,188,161,162,220,218,217,220,221,225,227,228,230,228,227,225,233,243,255,255,246,223,198,191,183,179,155,144,144,153,179,219,219,218,219,223,225,226,227,230,230,233,235,236,252,255,253,242,226,219,215,203,128,128,163,190,205,225,230,222,222,221,219,226,226,228,230,230,237,255,247,243,238,240,240,236,236,233,231,219,128,170,243,230,229,224,224,224,223,222,220,227,227,228,231,227,249,255,251,241,239,248,250,252,242,232,225,190,116,141,239,224,226,226,224,225,224,224,221,227,228,231,234,230,247,255,237,230,243,253,255,241,231,232,235,215,122,105,228,228,227,226,225,224,225,225,222,228,230,233,235,232,249,248,229,232,236,228,228,235,245,234,236,227,130,85,189,237,226,228,227,225,226,225,224,230,232,234,236,236,255,232,233,235,223,210,239,244,231,223,223,192,125,83,158,243,228,230,228,226,226,226,225,232,233,234,237,238,248,243,247,244,246,251,251,237,227,218,203,168,114,82,133,244,231,232,230,229,227,227,226,233,235,236,239,239,240,255,255,245,246,247,235,218,209,223,237,228,141,69,167,245,231,233,232,229,228,228,228,235,235,239,241,242,237,255,255,238,232,212,175,205,248,245,229,228,149,101,233,237,235,233,234,232,231,230,229,235,238,241,240,244,238,242,253,236,230,218,227,253,242,217,202,192,132,95,224,240,235,235,235,234,233,232,231,235,239,241,242,243,242,239,248,255,251,242,245,237,217,204,187,163,107,105,235,238,236,237,236,236,235,233,231,238,240,241,244,245,245,241,244,255,244,224,229,219,201,175,135,101,111,212,243,237,238,237,237,237,236,235,234,239,243,243,244,247,249,236,245,247,234,213,206,180,154,120,90,70,199,255,238,240,238,238,239,237,236,236,235,240,243,244,247,247,250,237,241,242,226,201,185,165,133,105,91,133,253,240,242,241,241,241,240,238,236,235,235,239,242,245,249,248,250,238,230,237,220,191,178,176,133,105,93,149,255,242,244,244,243,243,242,241,238,237,236,240,242,245,249,249,252,238,224,226,218,186,167,138,115,107,99,107,245,247,244,244,244,243,242,242,239,238,236,239,242,244,246,248,251,236,223,215,216,203,179,141,118,110,100,105,240,246,243,243,242,242,241,241,238,235,234,240,243,244,246,247,252,227,227,223,211,196,181,145,120,110,97,115,247,244,244,243,242,241,241,240,238,237,235,240,243,245,247,248,254,221,237,244,229,192,158,130,111,108,89,165,255,243,244,244,242,242,243,241,240,237,236
4,101,102,104,105,105,106,108,111,112,113,114,115,115,117,119,119,120,121,122,123,123,123,123,122,123,124,126,126,100,102,104,105,106,108,109,111,113,114,114,115,116,116,118,120,120,121,122,123,124,124,125,126,126,125,125,127,101,103,105,105,108,109,110,112,113,113,114,116,119,116,115,117,122,121,122,122,123,124,125,127,126,127,127,127,101,103,106,107,108,108,110,112,114,119,115,107,109,129,119,99,94,124,121,126,125,124,126,127,127,126,128,128,102,104,106,109,109,108,108,111,114,122,129,113,75,104,126,93,65,83,102,90,119,127,127,128,128,128,128,129,103,106,106,108,108,110,135,125,107,76,118,114,71,76,117,85,57,62,92,58,81,135,127,128,129,128,128,128,104,106,108,109,105,125,154,133,97,64,100,113,72,60,114,108,54,63,96,68,71,134,127,128,129,129,129,130,104,105,108,111,107,136,127,137,104,69,81,124,84,42,109,120,60,63,114,71,69,137,126,129,131,131,130,131,105,107,109,110,109,144,115,113,123,84,51,123,92,23,76,129,98,76,95,76,77,117,131,129,131,131,131,132,106,107,109,109,114,142,115,99,93,70,34,64,74,24,46,119,105,93,86,90,90,77,128,131,131,131,132,132,106,108,111,108,120,141,120,107,90,74,66,49,70,61,58,95,108,105,94,84,92,88,104,136,130,132,133,134,107,108,112,106,137,140,115,95,89,79,65,69,88,73,81,92,101,95,80,97,120,100,83,134,131,133,133,134,107,109,112,110,146,132,111,92,80,66,63,74,88,81,93,108,93,66,93,133,123,111,78,125,136,133,135,134,108,111,110,117,154,130,112,93,83,71,69,77,84,93,100,113,114,117,114,114,112,106,77,106,140,134,134,134,108,111,109,122,156,131,116,99,82,72,69,79,92,103,106,117,130,129,121,112,98,86,71,80,140,134,134,134,109,111,108,128,159,132,120,105,85,73,74,77,95,109,123,128,131,124,120,108,95,80,62,67,139,135,136,135,111,113,106,133,161,131,123,108,95,83,81,79,102,124,136,134,127,118,114,106,91,77,59,74,142,136,137,136,109,114,106,136,162,138,127,116,107,89,85,97,112,137,140,135,127,116,106,98,84,74,53,107,144,134,137,138,113,115,108,133,163,144,133,124,116,103,93,111,116,133,137,132,126,116,102,89,73,59,66,139,137,136,138,138,113,113,110,126,166,150,138,125,120,111,102,110,119,133,136,128,126,118,101,83,66,49,111,142,136,137,137,138,112,114,113,117,165,154,137,123,116,109,107,111,121,135,135,123,120,118,100,88,59,77,143,136,137,137,137,138,114,114,114,112,163,154,132,127,120,114,114,116,126,130,125,119,111,108,102,85,59,128,141,138,138,137,138,139,113,114,114,113,165,149,132,136,128,123,120,118,124,126,115,111,104,102,97,64,103,144,136,138,138,138,138,140,113,114,113,118,165,141,137,141,133,131,126,118,121,123,113,106,99,91,70,89,141,137,137,138,138,138,139,140,114,115,111,124,165,149,141,137,133,135,130,117,115,117,110,100,90,69,76,141,137,138,138,138,139,139,140,140,112,115,110,131,166,157,137,132,135,139,130,111,109,108,105,93,80,55,122,140,136,138,138,138,139,139,139,140,113,114,109,139,164,157,137,130,135,135,124,109,102,105,100,87,63,77,144,134,136,137,138,139,139,139,139,140,113,116,109,145,165,158,135,129,133,132,120,107,100,108,96,81,54,107,143,136,137,138,140,139,139,139,139,140
4,178,178,178,179,178,177,177,176,175,174,174,172,172,171,172,171,166,165,164,164,164,164,162,162,160,156,156,154,180,179,179,180,180,178,178,179,178,179,178,177,174,170,159,160,173,167,166,165,165,164,162,163,160,157,156,155,181,182,181,181,180,180,179,179,176,157,145,158,173,166,129,95,124,178,169,167,172,166,164,162,161,160,157,157,184,184,182,180,181,182,181,182,181,167,157,131,121,128,149,126,84,130,138,108,119,165,166,164,163,162,160,157,184,184,183,182,182,183,181,176,177,170,168,163,133,90,91,133,119,79,76,95,57,118,176,163,164,162,161,160,185,184,183,184,185,183,172,160,159,144,100,101,142,89,47,105,115,80,47,87,74,73,172,165,164,162,160,159,186,185,186,185,185,185,182,183,165,146,102,57,114,93,47,78,97,61,55,101,89,57,155,169,163,163,161,160,186,187,186,187,185,187,160,135,120,156,113,65,92,117,87,76,87,46,65,105,85,57,156,170,164,163,162,160,188,188,187,188,186,190,172,115,58,115,151,100,100,128,143,121,94,89,86,97,109,73,156,170,165,164,163,162,188,189,188,189,187,190,170,119,48,31,147,122,86,104,131,135,94,102,101,96,116,64,115,179,165,165,164,163,189,190,190,190,188,188,146,99,81,71,65,84,65,59,64,106,101,94,93,93,88,69,72,175,167,166,165,164,192,191,191,191,188,185,160,147,120,88,53,46,65,58,55,59,89,95,84,76,89,90,52,153,173,167,165,163,191,192,191,190,191,186,166,150,114,79,53,56,60,66,83,67,51,43,80,109,120,103,54,113,180,166,164,163,192,192,193,192,192,187,175,139,100,70,53,54,66,87,88,86,80,85,107,136,126,108,78,76,178,166,167,164,192,193,194,194,190,190,165,131,101,69,54,64,77,90,102,100,122,150,139,114,150,136,101,56,159,172,168,166,193,194,194,194,191,189,175,151,117,82,62,67,75,104,119,122,136,152,162,146,137,136,103,46,140,177,167,166,194,195,194,195,194,188,175,153,124,88,60,63,86,109,124,140,145,159,157,147,130,105,86,42,147,176,167,167,195,194,194,195,195,184,173,162,136,103,72,67,75,108,133,147,159,165,154,132,119,94,56,63,176,171,169,167,195,195,194,195,195,180,167,168,146,116,90,71,68,113,146,158,170,166,148,124,107,83,34,122,181,169,169,168,194,194,194,195,195,180,161,164,147,120,98,80,72,112,156,162,167,156,136,114,96,65,52,175,174,172,170,169,195,195,196,196,197,179,158,155,146,128,104,86,83,117,163,156,152,144,122,102,87,43,110,188,172,173,170,168,195,195,198,196,199,180,156,154,154,136,108,100,90,122,156,150,144,129,109,92,70,46,166,180,175,172,171,169,196,196,197,197,197,188,159,157,156,140,115,108,90,125,148,144,139,117,93,81,39,97,190,176,177,173,172,171,197,198,197,197,198,197,169,161,163,146,125,108,88,117,144,136,126,103,81,59,44,171,182,178,178,173,172,171,197,198,197,198,198,197,175,172,164,144,130,113,91,103,128,120,104,82,68,30,130,192,179,178,177,175,172,171,198,198,198,199,199,195,183,176,160,146,132,116,98,96,110,103,84,70,34,85,191,180,180,177,176,176,173,172,198,198,198,198,200,196,184,175,157,142,129,115,107,97,97,94,77,52,41,175,185,180,180,178,176,175,174,172,198,198,198,198,200,190,182,170,158,149,143,132,124,105,91,88,70,34,105,196,182,183,180,178,177,175,173,172
6,187,188,188,189,190,190,192,192,192,192,192,192,191,190,191,191,188,187,189,189,186,183,183,184,182,180,178,179,189,191,191,191,191,192,193,194,194,194,194,194,194,193,194,193,191,190,188,189,189,185,185,184,183,182,181,180,190,192,194,193,194,194,193,194,196,196,197,197,197,197,197,196,194,193,191,190,189,189,186,185,182,182,182,179,191,193,194,195,195,196,195,196,198,198,198,198,196,197,198,197,196,194,192,192,191,189,188,187,185,185,184,182,194,195,195,198,198,197,197,197,198,198,196,198,200,199,199,198,197,197,195,195,193,192,191,189,188,187,185,183,197,197,198,199,200,199,198,198,198,198,198,198,200,199,198,198,197,197,196,196,195,195,193,191,190,188,186,186,197,197,200,199,199,200,201,201,200,200,199,200,202,201,201,200,199,198,197,197,195,195,193,191,190,189,188,189,200,201,201,201,201,202,203,202,201,201,202,204,204,205,205,204,201,202,199,198,198,198,195,195,191,186,189,189,201,201,202,203,203,203,204,206,206,206,199,198,203,201,201,200,201,200,202,191,196,189,191,186,184,210,197,186,202,203,204,204,207,209,212,214,209,200,180,161,186,199,202,200,205,198,189,189,193,188,194,186,188,221,173,184,206,208,210,210,211,205,199,201,204,200,194,146,132,171,185,185,182,175,168,166,160,160,158,158,152,150,167,196,208,203,203,203,202,194,193,198,198,198,199,154,104,100,99,118,123,132,137,137,148,157,163,165,170,184,198,194,199,194,194,193,189,183,185,182,175,169,155,126,113,109,88,120,184,195,199,203,205,207,209,205,204,208,205,202,198,190,182,176,175,179,179,171,168,175,174,127,101,106,123,116,145,208,215,207,206,205,203,204,199,172,157,156,196,184,173,170,172,172,175,175,178,194,199,143,100,88,109,123,106,115,195,211,207,207,206,204,135,97,95,92,193,183,170,161,158,161,172,178,184,182,168,144,119,112,106,104,116,103,137,218,208,204,216,165,95,106,101,96,195,187,176,167,161,161,163,166,182,188,151,121,124,130,127,113,105,96,145,213,204,209,205,128,97,94,91,93,190,186,179,172,167,167,164,160,167,185,169,120,89,113,139,139,118,92,183,221,212,207,121,92,80,63,54,41,184,184,183,177,170,169,170,169,180,189,156,122,109,103,110,127,134,107,151,171,137,113,83,79,65,49,40,31,171,186,188,186,177,172,170,167,171,182,160,131,125,130,118,104,112,112,102,97,92,80,72,62,53,44,35,34,91,169,193,183,180,179,171,166,155,154,151,137,147,145,133,128,108,78,73,88,90,80,71,60,48,40,32,28,18,59,159,166,150,147,140,138,138,120,110,92,114,131,142,136,106,64,45,72,74,66,66,66,56,40,29,26,21,14,36,144,175,175,183,190,204,202,101,85,88,112,126,103,99,70,43,46,66,61,56,64,66,44,31,24,10,0,74,186,191,191,194,196,195,200,179,151,141,129,93,65,100,66,38,30,47,56,51,56,66,54,33,24,0,0,92,106,101,103,106,107,109,112,117,118,131,124,70,55,96,66,30,30,39,45,46,51,62,58,35,25,2,0,82,105,100,99,100,100,101,99,95,108,121,110,59,48,86,58,28,29,37,38,40,44,53,56,38,24,2,0,100,111,107,108,108,104,104,107,115,106,83,76,63,42,79,51,30,19,32,35,36,40,46,53,45,28,0,14,115,108,108,108,110,109,109,104,93,78,75,62,59,43,70,48,29,22,24,28,31,36,43,50,45,31
13,197,199,201,202,202,203,205,206,207,207,208,208,209,209,209,209,209,209,208,209,209,209,209,209,209,208,208,207,198,200,202,203,203,205,208,209,209,208,210,210,210,211,211,211,211,210,210,209,209,208,209,210,208,209,209,209,199,201,204,204,206,208,208,209,210,210,210,211,212,213,213,213,213,212,211,213,210,209,210,211,211,210,211,210,201,203,204,205,207,208,209,210,210,211,211,212,214,215,213,214,213,217,218,208,215,210,213,212,212,213,212,212,203,204,206,207,208,209,210,212,212,213,213,213,214,214,214,214,215,243,229,180,192,220,208,214,215,214,214,213,204,206,207,209,209,211,212,213,214,214,214,215,213,216,216,213,226,247,219,169,189,238,184,172,216,214,215,214,205,207,209,210,210,211,214,214,215,215,216,214,217,244,225,202,240,239,228,163,204,229,186,135,188,221,214,215,206,208,210,211,212,213,215,215,216,217,217,211,233,253,238,205,212,210,191,133,207,225,178,129,168,226,215,216,207,210,211,212,214,215,216,216,216,218,218,227,222,245,246,226,175,132,137,126,203,195,141,116,175,226,217,218,208,210,212,213,215,216,216,218,218,216,235,250,212,200,253,234,194,128,122,157,212,186,151,125,179,227,219,220,210,211,212,214,216,216,217,220,218,222,253,250,236,182,225,235,192,148,100,132,219,235,231,161,181,228,219,221,210,212,214,215,216,219,219,221,216,239,249,251,248,206,175,216,182,143,106,152,218,228,226,191,187,228,221,223,211,214,216,217,218,220,221,221,219,250,239,239,241,210,146,190,207,146,151,242,238,220,203,194,171,224,223,224,212,214,217,217,219,221,222,219,233,253,241,222,213,180,128,170,222,175,228,252,239,222,197,179,160,222,226,224,213,215,217,219,220,221,223,220,236,253,245,225,202,179,141,120,205,236,250,243,236,216,191,159,175,230,224,225,215,217,219,221,221,221,224,222,234,253,247,226,193,191,164,143,242,253,250,243,227,200,182,151,193,232,225,225,215,217,220,222,221,222,224,222,239,253,249,234,221,199,219,234,253,250,248,240,216,196,175,146,202,234,227,227,216,218,221,222,223,224,226,223,241,253,251,242,237,221,230,239,252,247,241,235,212,189,160,145,218,231,228,228,217,219,221,223,223,225,228,224,237,253,251,247,239,228,227,232,251,242,231,230,210,172,142,173,236,228,230,229,218,221,222,224,226,225,227,227,233,253,252,252,240,225,229,233,241,229,222,218,188,150,139,220,235,229,231,230,221,222,223,225,226,228,231,228,225,245,241,231,217,211,224,229,242,230,219,201,164,124,172,241,230,233,232,232,221,222,224,225,227,226,192,182,180,174,161,148,145,142,143,148,157,152,152,151,134,141,237,235,232,233,232,232,220,223,226,226,229,220,164,165,165,158,146,141,136,130,123,119,105,97,95,91,90,108,175,233,234,233,233,233,222,224,226,227,230,228,172,164,165,155,146,143,139,129,124,117,110,103,98,92,89,87,77,140,243,231,234,234,223,224,225,227,230,234,178,162,161,152,145,142,136,127,120,114,106,99,95,91,88,92,79,171,245,234,235,235,221,224,226,227,228,234,181,163,161,153,151,144,134,124,117,112,106,98,94,90,90,78,138,248,235,237,236,236,221,223,225,226,228,233,183,159,161,151,149,143,131,120,113,110,105,99,94,91,88,89,220,241,236,236,236,236,221,223,225,228,229,234,182,158,158,151,146,138,128,119,113,111,105,99,94,91,80,129,246,234,238,236,236,236
1,148,152,155,157,160,162,164,165,166,167,167,168,169,168,169,169,169,169,169,168,169,169,169,169,168,167,166,165,151,155,158,160,163,165,166,167,168,169,170,171,170,171,171,172,172,172,172,171,172,172,172,172,172,170,169,169,154,158,161,163,166,168,170,171,171,172,173,173,174,174,175,175,175,176,176,175,175,176,176,176,175,174,172,172,157,160,164,166,170,171,173,173,174,176,176,176,177,178,160,164,179,178,178,177,178,178,178,178,177,177,175,174,160,163,167,170,173,175,176,177,178,178,178,180,173,181,152,129,184,182,179,179,180,180,181,180,178,178,177,176,162,166,170,174,176,178,179,179,179,180,180,191,167,154,156,107,149,162,183,182,183,183,183,182,181,180,179,179,165,170,173,176,178,180,181,182,182,183,183,196,167,148,165,103,134,119,181,185,186,186,186,186,184,184,183,181,169,173,175,179,181,183,184,186,185,186,182,197,175,145,180,120,140,116,165,189,188,188,188,188,187,186,185,184,173,175,178,181,183,185,187,187,188,190,170,163,187,137,180,132,142,133,146,192,190,191,189,189,189,188,187,186,174,178,181,184,186,186,188,190,190,196,166,138,190,132,172,146,154,168,133,189,193,193,193,192,191,190,189,187,176,179,181,185,187,188,190,192,192,201,170,140,190,138,174,161,144,181,133,176,196,195,195,194,194,192,191,190,177,180,183,186,188,190,192,193,194,206,172,147,204,150,166,171,131,185,147,155,199,197,196,196,195,195,193,193,179,183,185,187,190,192,194,196,195,205,170,140,198,138,137,167,122,189,164,139,199,199,199,198,197,197,195,194,180,184,187,189,192,193,195,197,197,207,179,127,175,143,137,161,139,175,156,129,191,201,200,200,199,198,197,196,181,184,188,190,193,195,197,198,199,210,173,125,156,187,161,164,181,162,134,119,173,204,201,201,201,200,199,198,181,185,189,192,194,197,199,199,200,206,182,169,142,169,176,197,189,155,134,118,138,205,202,203,203,202,201,201,182,186,191,193,196,198,199,199,203,205,183,171,139,157,200,202,186,192,157,119,110,197,205,204,205,203,202,202,183,187,191,194,197,199,199,200,206,211,172,153,156,177,176,156,157,216,204,159,107,180,207,206,207,206,205,204,183,187,191,194,197,200,199,201,208,222,176,145,142,139,132,139,176,206,203,168,127,159,210,207,207,206,206,205,184,186,190,193,195,198,199,200,206,229,192,144,151,152,175,204,216,201,185,151,111,144,210,208,207,206,206,206,185,187,190,194,196,198,200,200,204,228,213,154,167,162,201,224,222,204,175,141,95,143,211,208,207,207,206,207,185,187,191,194,196,199,200,201,204,226,226,171,181,168,198,230,229,204,165,130,91,151,212,208,208,208,206,206,185,188,191,193,196,199,201,202,203,219,227,191,195,177,185,231,228,194,156,119,92,173,212,210,209,208,207,206,186,189,193,195,197,200,202,202,203,210,225,210,199,186,170,225,220,185,148,110,94,191,212,212,210,209,209,208,166,171,175,181,185,189,191,193,196,196,220,223,202,181,158,206,209,174,137,104,107,205,214,214,212,210,209,209,102,104,106,111,115,117,119,122,125,128,199,215,191,173,153,180,191,160,125,104,112,169,175,180,196,213,211,207,98,99,99,99,100,101,101,101,102,100,178,204,185,169,149,163,180,154,117,101,99,106,130,172,197,198,205,205,99,102,108,107,106,104,102,103,103,102,174,203,186,165,152,161,177,147,105,97,119,169,208,214,195,174,173,199
15,169,142,145,125,81,169,58,5,70,68,69,74,79,82,95,110,125,138,142,146,154,162,167,171,174,178,182,185,169,143,153,116,93,172,42,14,72,69,72,75,78,82,96,113,128,140,144,150,157,164,170,173,178,181,184,187,170,149,161,106,110,172,26,27,74,69,73,78,80,82,98,116,131,143,147,152,159,168,173,176,181,184,187,191,168,152,166,99,126,165,15,39,76,70,74,77,79,84,101,118,134,145,149,154,162,171,176,181,184,188,191,194,167,153,167,88,147,154,0,46,72,68,73,79,85,87,106,125,139,149,152,156,167,175,179,184,188,192,196,198,163,165,161,107,144,138,77,99,99,106,117,119,116,93,94,109,127,146,155,161,170,178,191,194,191,196,199,203,159,180,145,121,123,120,123,108,99,107,103,98,90,99,99,95,99,106,117,129,129,122,137,173,205,204,202,207,164,158,116,111,110,106,98,91,93,95,94,91,93,108,112,108,105,103,101,116,124,109,95,81,125,195,218,211,169,167,132,96,103,89,92,87,93,98,98,96,102,114,115,112,105,98,105,119,119,116,109,91,71,81,158,218,169,176,139,100,186,66,33,81,79,83,86,90,101,113,116,109,99,101,115,118,110,114,107,99,93,80,66,106,173,182,124,116,201,43,15,81,71,73,75,79,80,99,120,150,129,114,114,114,116,114,109,102,101,104,88,66,177,188,113,134,192,28,31,81,72,74,77,80,82,96,132,186,165,133,120,113,103,109,104,106,105,120,100,82,179,190,104,150,184,14,40,82,73,74,77,80,83,96,175,166,140,96,89,102,78,80,103,107,116,132,108,94,179,188,99,166,171,5,50,81,72,74,78,82,75,134,185,138,124,85,41,56,36,44,140,129,134,126,105,102,181,185,93,180,155,0,60,80,72,75,78,77,94,194,160,122,102,78,34,27,12,50,166,153,145,112,96,103,183,178,93,195,140,0,68,80,74,74,78,69,136,210,160,114,92,48,24,28,7,81,168,169,157,116,90,96,189,174,95,204,120,0,75,79,74,75,79,71,111,197,178,132,98,39,17,26,30,91,160,181,165,121,91,87,198,166,102,216,104,0,80,77,73,74,77,81,78,175,201,165,111,56,10,60,74,77,152,173,145,115,91,72,205,159,111,227,88,2,84,76,73,73,76,81,80,134,220,188,128,66,26,34,98,142,157,139,109,104,85,63,210,146,123,229,70,9,86,75,71,71,74,76,86,108,205,202,170,152,143,143,161,140,118,96,83,87,82,66,214,135,140,227,51,17,85,72,70,69,73,73,87,105,168,213,174,157,153,162,157,108,78,80,75,76,83,87,216,124,156,220,36,26,84,70,69,69,72,74,84,115,194,161,129,126,135,163,156,93,69,71,65,79,84,77,213,116,175,209,24,37,85,70,68,67,72,76,77,150,198,135,127,130,127,151,149,102,69,83,180,111,49,44,209,110,191,196,0,35,75,59,58,59,64,68,73,148,177,129,113,111,108,132,133,105,58,180,255,122,50,49,203,107,202,182,74,96,111,96,90,86,82,84,94,125,150,142,156,153,100,78,126,98,74,171,255,130,58,52,196,111,206,187,150,112,125,125,123,120,122,126,123,120,122,133,141,192,157,76,134,133,107,157,193,116,67,56,188,114,213,185,132,94,113,110,111,112,115,114,116,115,112,117,110,144,192,118,104,122,121,117,121,96,63,63,180,121,217,180,132,105,116,117,118,118,118,119,121,123,125,126,125,121,145,136,125,128,129,129,135,101,48,28
0,189,189,191,193,195,198,199,200,201,201,202,205,207,207,206,206,207,208,208,208,207,208,209,208,208,208,207,207,188,191,194,196,197,199,200,201,202,203,203,205,207,207,207,207,208,208,209,209,208,208,209,209,209,209,209,209,189,191,194,198,199,200,202,202,204,206,205,207,208,207,207,209,209,208,210,210,210,212,211,211,211,211,211,210,190,193,195,197,199,200,203,204,206,208,209,208,210,212,217,208,206,214,223,211,207,227,202,204,215,214,213,211,192,195,197,198,200,202,204,206,207,217,230,211,195,229,233,200,180,218,236,208,186,224,200,182,215,215,214,213,194,196,198,199,202,204,206,209,207,238,244,217,173,204,230,203,166,180,230,210,172,198,211,171,206,216,215,215,195,197,200,202,204,206,225,225,201,238,240,223,182,182,227,211,177,167,231,211,164,162,211,183,176,202,215,216,196,199,201,203,205,219,247,231,198,218,243,224,197,180,228,215,179,176,232,204,158,124,192,202,179,168,194,218,198,200,202,204,205,237,254,239,211,202,242,222,201,176,232,222,172,178,227,187,146,91,159,209,197,158,167,221,200,201,203,204,210,246,252,247,221,191,234,223,197,173,236,222,161,152,200,167,124,86,175,223,206,162,173,223,201,202,203,203,220,242,235,247,225,183,219,221,188,165,224,208,153,120,162,151,107,109,214,229,209,161,194,225,202,204,206,205,236,242,225,231,199,157,192,206,174,146,182,180,144,109,158,149,110,171,230,223,188,156,214,225,203,206,205,214,248,240,208,209,167,128,161,184,162,127,140,158,125,116,181,188,191,217,221,202,162,164,224,225,204,206,205,229,253,236,203,194,168,135,148,179,163,112,117,153,146,193,230,230,220,204,196,173,152,178,227,227,207,209,207,225,254,246,223,192,170,148,145,190,168,107,118,188,229,244,240,228,211,187,170,157,142,192,229,228,209,212,210,224,254,251,236,212,185,167,170,193,174,160,208,246,252,243,233,219,197,172,156,147,154,218,230,230,209,211,210,228,255,254,244,227,211,189,189,205,221,242,253,253,248,236,219,201,179,158,145,148,203,231,231,231,208,210,211,229,255,255,251,239,228,211,204,223,240,254,254,250,242,226,204,181,160,147,138,186,229,231,233,232,209,211,211,226,255,255,254,246,236,224,216,225,240,253,252,243,233,214,190,164,147,137,162,226,232,232,233,233,209,211,214,223,253,254,254,247,235,223,217,220,232,244,241,228,217,198,171,150,135,146,213,235,234,234,233,233,210,212,216,219,249,255,252,243,228,214,212,217,224,229,222,209,191,175,153,134,137,204,236,235,234,235,234,234,212,215,218,218,242,255,248,237,223,208,209,217,220,220,206,189,166,149,129,122,189,236,235,235,236,235,235,235,206,203,202,195,205,214,201,192,183,177,185,195,193,189,172,159,142,124,111,175,234,236,237,236,236,237,236,236,166,155,153,146,138,134,129,119,110,101,100,97,90,88,85,86,89,90,112,203,236,236,236,237,238,237,237,236,144,143,141,134,130,126,118,108,100,88,81,71,64,62,59,57,56,60,67,91,176,240,237,238,239,238,238,238,149,145,143,136,132,124,116,106,97,86,79,70,64,62,59,57,55,57,58,52,141,242,239,239,239,239,239,239,166,146,144,137,134,123,114,104,91,84,77,71,63,61,58,55,54,53,54,67,202,241,239,240,239,239,239,239,180,149,141,138,133,122,111,102,92,83,75,70,64,62,58,54,52,52,52,117,239,239,239,240,241,241,241,241
8,158,159,158,159,159,157,163,131,102,161,157,158,159,157,156,154,154,154,152,151,149,148,147,146,144,144,142,141,160,159,159,159,159,159,157,108,60,160,160,159,159,160,159,157,157,155,154,154,152,151,150,148,147,146,144,143,161,160,161,161,161,163,147,81,71,171,161,161,162,161,161,160,158,159,157,156,155,154,152,150,149,148,146,146,164,163,164,164,164,160,135,52,109,176,161,163,165,164,163,162,160,161,160,158,157,156,154,153,152,150,150,148,165,165,164,165,166,160,115,38,152,170,164,164,164,165,165,163,164,164,161,160,159,158,157,155,154,152,152,149,166,166,166,167,167,161,111,47,163,169,167,170,172,167,166,164,163,165,163,161,160,160,159,158,157,155,153,151,168,167,167,167,168,158,99,53,170,170,168,144,131,172,170,168,170,165,165,163,158,163,159,160,159,157,155,153,170,170,169,170,170,152,90,46,169,173,156,123,73,105,130,93,138,174,165,167,118,143,166,160,161,159,157,155,171,171,172,171,171,155,128,60,145,173,152,143,109,49,85,79,60,136,102,119,125,90,176,162,162,161,159,158,171,172,172,172,173,158,147,83,123,172,151,159,120,63,60,86,65,119,91,61,128,88,118,177,162,162,160,159,173,173,173,173,174,165,141,107,110,139,145,163,127,69,46,64,96,124,80,44,109,120,59,121,169,163,161,159,174,176,174,173,175,168,151,142,121,120,103,145,129,80,39,39,106,112,65,30,78,138,99,52,124,174,161,160,175,177,175,176,177,169,164,136,109,100,97,113,137,83,31,34,111,97,58,13,75,150,109,39,116,176,162,161,176,177,178,176,178,170,151,110,82,65,66,82,152,117,54,40,112,83,36,0,117,152,82,43,164,167,164,163,178,178,178,178,179,167,155,129,99,60,48,32,136,165,93,45,114,72,12,41,129,130,47,101,180,164,166,164,178,179,178,179,179,161,156,142,101,53,49,43,125,153,95,52,89,77,89,97,132,87,39,160,173,168,166,165,179,179,179,180,178,157,162,143,98,65,46,62,154,110,40,67,97,108,115,78,97,47,68,184,167,170,167,165,179,180,181,181,178,161,162,136,109,72,54,76,134,124,121,144,137,115,104,58,55,17,131,181,170,170,169,166,180,180,181,181,178,162,160,143,111,68,64,115,160,160,172,157,130,111,87,46,12,87,182,172,172,171,170,168,180,179,180,181,177,154,160,151,110,73,86,147,166,166,166,144,120,98,70,14,73,185,176,175,173,172,171,169,179,179,181,181,178,156,152,147,119,82,104,155,161,175,160,130,108,85,28,57,181,176,174,173,172,171,169,167,180,180,181,182,182,161,153,146,121,83,111,150,146,152,135,113,92,44,41,172,178,173,172,173,172,171,169,166,182,181,181,182,181,161,156,149,118,93,110,145,134,130,103,85,47,27,159,183,174,175,174,173,172,172,170,166,181,181,181,182,179,163,152,139,123,109,109,140,127,111,88,43,18,146,188,176,179,178,174,173,171,170,169,171,180,180,179,182,173,160,149,143,139,119,109,130,114,89,55,18,139,189,177,180,178,177,174,174,174,176,180,156,185,187,189,191,164,156,152,152,137,119,119,128,98,61,17,123,198,179,183,181,180,184,185,177,162,145,105,54,112,117,122,124,138,164,162,154,135,120,121,112,77,34,46,168,166,169,170,171,171,148,105,71,42,29,12,13,65,66,68,61,127,171,159,143,128,123,104,91,64,25,42,73,78,82,82,83,68,37,13,12,7,6,13,6
0,211,213,214,217,217,219,223,222,224,225,225,225,226,227,230,227,230,230,229,230,230,230,230,231,231,230,231,231,212,214,217,219,220,221,223,225,225,226,227,227,228,230,232,231,231,231,231,232,232,232,232,232,232,231,232,231,212,215,218,221,223,223,225,226,227,230,229,230,231,233,231,230,233,234,232,231,232,234,233,234,234,233,232,233,213,216,219,221,222,223,226,227,228,232,231,232,233,232,231,234,235,233,233,233,235,236,233,235,236,235,235,237,216,218,220,222,223,224,227,229,230,230,234,235,234,241,245,229,229,242,253,229,232,255,211,231,239,238,238,236,218,220,222,224,225,229,228,230,229,242,255,228,208,255,255,213,191,254,255,222,200,255,211,204,245,235,237,238,218,221,224,226,227,229,230,235,231,255,255,238,180,227,253,228,179,203,255,230,180,228,235,186,234,239,238,241,221,222,224,227,230,228,255,251,215,255,255,250,196,213,253,238,188,202,255,233,169,185,245,202,189,226,244,240,222,223,225,229,223,248,255,254,212,244,255,248,212,211,254,242,187,213,255,220,173,135,229,226,204,176,222,245,220,224,227,229,224,255,255,255,229,225,255,245,213,203,255,247,174,215,253,198,160,98,194,243,224,168,200,253,223,225,229,227,235,255,255,255,241,210,255,247,207,201,255,241,166,176,217,184,132,113,232,252,230,173,217,252,224,226,229,224,250,255,252,255,243,198,249,244,199,189,250,224,167,140,188,177,104,164,255,249,222,173,242,249,226,228,230,225,255,255,248,249,207,162,216,223,190,162,200,195,160,131,192,171,142,238,255,240,188,184,253,247,226,229,230,242,255,255,219,229,181,141,191,202,184,137,166,182,128,160,233,234,240,240,236,214,172,207,255,248,227,231,224,255,255,255,226,210,196,156,176,211,191,121,144,181,200,255,255,255,239,216,202,189,166,220,253,249,231,234,227,247,255,255,249,215,198,171,178,229,188,118,167,254,255,255,255,247,228,203,182,176,155,238,253,251,233,234,231,248,255,255,255,240,216,200,206,220,203,222,255,255,255,255,250,235,211,187,177,158,196,255,250,252,232,235,232,253,255,255,255,252,241,215,221,239,255,255,255,255,255,252,233,215,193,180,162,182,254,253,253,252,231,235,231,253,255,255,255,255,254,238,234,252,255,255,255,255,255,243,220,194,178,167,160,243,255,254,254,253,232,236,233,252,255,255,255,255,255,248,241,247,255,255,255,255,251,228,202,179,169,151,218,255,253,254,255,254,231,236,238,247,255,255,255,255,252,240,238,240,253,255,255,240,230,213,184,174,147,197,255,255,255,255,255,255,233,237,239,239,255,255,255,255,246,231,233,237,246,248,233,219,203,188,172,146,181,255,255,255,255,255,255,255,236,242,244,239,255,255,255,255,243,230,239,246,248,241,223,205,181,162,134,157,255,255,255,255,255,255,255,255,219,210,209,195,198,204,190,180,175,170,182,185,180,176,163,159,151,135,144,255,255,255,255,255,255,255,255,255,177,166,167,160,147,146,143,131,125,111,106,98,91,94,89,89,94,98,126,201,255,255,255,255,255,255,255,255,167,170,167,162,156,152,145,133,125,116,111,99,94,92,89,86,85,88,88,72,191,255,255,255,255,255,255,255,176,168,170,165,158,147,142,134,121,115,107,98,92,90,87,83,85,85,90,73,215,255,255,255,255,255,255,255,190,170,171,164,158,147,141,130,118,114,106,98,93,89,87,83,82,86,76,124,255,255,255,255,255,255,255,255
14,183,184,185,185,184,185,185,185,185,184,184,185,185,185,185,183,182,181,180,179,178,177,176,175,174,172,171,169,186,187,187,188,188,187,188,189,187,187,188,188,188,187,187,186,185,183,182,182,180,180,179,177,176,175,173,172,188,189,190,190,190,189,190,190,189,189,189,190,190,189,189,188,187,186,186,186,183,183,182,181,180,178,176,175,191,193,192,192,194,193,194,193,193,192,192,193,193,190,183,174,182,184,181,181,181,182,185,183,183,181,180,179,194,195,194,195,196,196,196,195,195,194,195,195,194,187,174,157,160,164,157,157,152,130,160,185,185,183,181,180,196,197,197,197,198,198,198,198,198,196,194,178,173,182,185,181,175,160,124,132,146,124,101,145,185,186,184,182,198,199,199,199,200,200,198,199,200,198,196,194,189,192,191,181,171,159,143,121,129,132,112,110,144,172,185,185,201,201,201,201,201,201,201,201,200,199,197,183,169,159,148,132,114,116,139,144,145,148,110,111,133,115,177,187,202,202,203,203,203,203,203,202,202,200,196,169,163,164,137,111,92,89,89,117,131,119,90,79,94,75,101,178,204,204,204,204,204,204,204,205,201,187,188,194,189,172,149,133,130,147,118,161,171,154,169,127,79,65,67,113,207,207,206,206,206,206,207,207,200,190,192,183,168,140,120,112,109,110,118,194,201,199,198,198,154,68,76,86,208,208,207,208,208,207,208,208,196,187,177,147,115,70,54,53,57,92,187,202,202,202,201,191,108,92,101,96,208,209,209,209,209,209,208,207,196,183,137,88,58,47,50,51,50,144,204,204,205,203,203,143,99,116,111,89,210,211,211,210,212,211,211,206,199,175,121,70,55,55,58,62,58,167,206,207,206,205,185,105,110,116,105,80,212,212,212,212,213,213,213,206,197,170,118,64,59,58,57,59,56,185,209,208,207,207,136,97,108,108,89,125,214,213,214,214,214,215,215,205,197,159,96,63,71,58,55,54,49,162,211,209,209,183,103,94,98,98,82,179,215,215,215,215,215,216,214,202,195,156,106,85,70,57,57,52,46,68,156,204,199,116,103,104,94,79,139,201,217,217,217,217,215,216,212,201,198,167,118,89,66,59,62,62,63,65,74,117,120,89,102,103,89,111,199,202,217,218,218,218,217,217,212,198,196,165,121,94,66,61,69,76,80,84,88,93,84,91,102,94,91,186,207,205,218,219,218,218,218,218,212,193,192,166,135,97,64,63,72,85,87,92,98,106,103,90,104,86,151,208,208,206,218,219,219,218,218,220,213,188,190,172,137,97,72,61,73,90,92,93,100,112,111,98,88,92,200,211,210,208,218,219,220,220,221,221,213,191,195,175,145,112,82,62,75,92,95,98,106,117,117,100,79,148,213,212,210,209,220,220,221,223,222,221,213,193,197,173,141,110,88,65,72,95,97,102,112,119,111,92,105,209,214,213,212,210,222,223,223,223,223,223,211,196,194,165,136,114,93,73,67,96,97,103,114,114,103,78,156,215,215,214,213,211,222,222,223,223,222,223,209,194,190,160,132,116,96,78,64,88,96,101,109,106,91,84,202,216,215,215,213,213,221,222,222,223,222,223,206,188,185,156,132,117,95,79,65,81,95,96,98,93,74,151,217,217,216,215,214,212,222,222,223,223,223,224,206,183,177,154,130,109,90,79,68,76,89,91,88,77,107,208,216,216,215,214,213,212,223,223,224,224,223,224,203,181,171,152,125,106,91,79,70,75,83,84,77,93,199,218,217,216,216,215,214,211
12,158,163,166,167,171,174,175,176,177,178,179,179,182,184,184,183,183,183,184,183,183,183,182,180,179,179,180,178,160,164,166,168,172,174,176,178,178,179,179,182,183,184,184,185,185,184,184,184,183,183,183,182,182,180,181,179,162,164,168,170,172,174,176,178,180,181,183,183,184,184,181,184,187,187,184,185,184,184,184,183,183,181,182,182,162,165,168,171,173,175,177,179,181,182,182,185,182,179,206,183,159,175,189,186,186,184,185,185,184,183,184,182,163,166,170,172,174,176,179,181,183,180,196,221,200,159,201,212,151,127,187,185,187,188,185,185,185,183,183,183,164,168,171,173,175,177,181,183,185,179,223,245,219,176,137,198,182,117,168,205,167,168,188,186,186,184,184,183,165,168,171,174,176,178,182,183,185,180,221,227,230,201,174,139,173,150,143,215,163,121,165,191,185,185,185,184,165,169,172,175,177,179,181,184,183,179,217,194,181,208,176,107,153,168,107,153,168,110,124,193,187,186,185,186,165,169,173,176,178,180,183,178,193,215,174,155,168,186,171,149,168,136,87,113,144,110,109,189,189,186,185,186,166,170,174,176,179,182,179,193,243,213,157,114,143,195,196,196,179,145,123,171,129,105,111,190,189,187,186,188,167,171,175,176,179,182,177,232,231,199,166,118,88,169,184,176,191,201,187,178,123,96,121,197,189,189,188,189,167,171,175,178,181,178,202,225,209,214,175,126,69,103,132,162,189,222,209,172,118,80,148,198,189,190,189,189,169,172,176,178,182,176,227,216,202,218,181,140,81,82,83,108,182,206,214,190,157,105,174,197,190,190,190,189,169,173,175,180,177,202,227,203,186,224,204,159,88,89,91,141,207,198,191,167,169,135,143,199,190,191,191,190,166,171,176,179,174,229,232,203,160,181,221,171,108,82,162,218,210,193,185,151,147,135,125,195,191,191,192,191,168,172,174,176,175,235,234,203,161,138,183,212,140,152,235,207,200,188,175,148,130,114,141,198,191,191,190,190,169,173,177,177,182,244,236,203,187,185,149,157,167,234,235,210,195,188,164,145,120,105,165,199,193,192,191,191,169,173,177,177,184,244,232,212,210,201,171,169,225,238,235,215,184,173,152,142,115,109,185,196,194,194,192,191,169,174,177,176,183,240,235,225,217,203,184,179,226,236,224,205,175,155,147,136,108,128,199,194,194,193,192,192,168,173,175,179,180,234,240,230,216,199,186,180,220,230,212,189,162,150,149,125,101,165,202,194,195,195,193,190,167,170,174,180,174,217,238,224,212,202,192,188,211,215,195,171,155,153,147,111,121,196,195,194,194,192,191,190,169,174,177,182,178,202,231,212,203,199,192,188,204,210,187,165,152,149,133,106,173,203,197,198,197,196,196,195,145,147,148,150,144,177,229,197,196,196,186,172,192,209,185,156,141,136,119,112,148,148,146,146,145,145,145,145,109,107,106,110,97,141,231,191,195,198,185,170,183,203,169,135,127,124,112,103,99,99,99,98,97,97,97,97,118,117,116,118,109,144,236,197,206,203,186,171,177,198,155,128,120,115,110,111,109,109,108,107,107,106,105,105,117,116,116,120,109,144,240,210,219,211,192,172,167,193,154,130,112,109,111,112,111,108,107,106,107,105,105,105,118,116,117,120,111,138,236,220,227,211,191,168,159,187,156,128,111,107,110,111,111,109,109,108,108,108,107,103,117,118,118,119,114,127,228,221,221,199,183,169,155,176,151,121,109,107,111,110,109,108,108,108,109,107,103,112
7,123,131,140,145,148,150,154,160,163,167,169,171,174,175,177,179,180,181,182,183,183,184,184,184,184,185,184,182,122,132,141,146,149,151,156,161,164,167,170,172,175,177,178,180,181,182,183,185,185,184,185,185,185,185,185,183,123,132,142,148,151,152,157,162,165,168,170,173,176,178,179,180,182,183,184,186,186,186,186,185,185,186,185,184,123,132,141,148,152,154,158,162,166,170,172,175,176,178,180,182,183,184,185,186,186,187,188,187,187,188,186,186,124,133,142,148,152,154,159,162,166,170,173,176,177,180,181,183,184,185,185,187,188,188,188,188,188,188,187,188,125,134,142,149,152,154,159,163,167,171,174,176,177,179,183,184,185,185,186,188,189,189,189,189,188,188,188,188,125,134,142,150,152,155,159,164,168,171,174,177,179,181,183,185,187,187,187,188,189,189,190,189,189,189,189,189,125,134,143,150,151,156,161,165,167,171,174,176,178,180,184,186,187,188,189,191,193,192,192,191,190,190,190,190,126,135,144,152,154,153,157,172,180,176,179,185,185,188,186,180,178,184,182,182,181,182,189,193,191,191,192,191,126,136,145,151,151,164,188,201,197,184,179,192,200,201,197,183,182,197,185,176,169,155,175,177,190,193,193,191,128,135,142,158,184,201,203,197,195,179,164,170,179,184,183,168,168,183,178,168,161,154,165,150,189,198,194,192,123,142,176,199,204,198,198,202,194,172,163,177,191,194,199,182,173,181,173,183,180,167,160,168,174,178,191,195,164,197,207,200,203,200,200,202,190,162,150,154,180,186,185,182,184,178,181,188,189,181,176,179,166,179,168,183,208,206,205,204,209,202,202,206,201,150,125,130,128,120,130,143,145,150,153,153,156,158,157,159,154,163,156,185,209,211,208,205,206,203,204,213,188,137,117,121,122,102,87,94,159,176,179,180,177,176,173,173,173,175,185,194,211,208,205,202,204,204,205,203,165,122,120,126,126,119,108,90,178,198,195,198,198,198,199,198,198,199,196,195,204,205,206,204,206,206,208,204,160,114,104,112,129,142,128,100,147,199,192,194,196,195,195,195,195,195,195,195,205,210,209,207,210,209,215,202,151,113,109,82,87,126,128,110,149,199,194,196,196,197,196,196,196,196,196,194,206,203,202,197,191,189,195,164,137,118,114,109,94,115,134,150,185,193,193,194,194,195,194,194,194,194,193,192,192,192,186,178,168,173,170,142,130,124,120,108,108,118,130,135,134,133,133,134,135,132,131,131,130,128,127,126,176,175,169,164,158,156,149,126,121,116,122,117,115,116,115,113,112,112,110,110,112,111,112,113,113,111,108,106,140,151,150,142,131,123,120,120,121,119,121,122,121,122,122,121,119,124,124,120,120,118,117,118,117,116,114,114,122,124,118,114,116,119,121,121,119,120,120,119,119,120,119,119,118,122,123,121,122,118,116,115,115,116,115,116,105,100,105,118,121,122,122,121,121,121,121,121,121,119,120,120,119,118,117,118,120,117,116,116,115,114,116,111,114,105,108,119,122,123,122,122,123,122,122,123,122,121,121,122,121,120,119,119,119,118,118,115,115,117,111,127,128,114,109,116,122,122,122,122,122,122,122,123,121,121,121,121,121,120,120,119,118,117,117,116,117,113,119,195,116,110,111,111,120,122,122,121,121,122,122,122,121,122,121,121,121,120,120,119,119,117,117,117,115,111,187,195,119,114,110,106,120,122,122,122,122,121,121,121,121,120,120,120,120,120,119,119,119,117,118,116,126,172,182,166
21,165,168,170,171,171,172,173,173,173,173,173,167,167,172,170,169,167,166,165,164,162,159,158,157,156,154,153,151,166,169,171,172,173,174,174,175,175,175,176,152,129,167,173,171,169,168,167,167,165,162,160,159,157,156,155,153,167,170,173,174,175,176,177,177,177,177,176,155,116,137,175,173,172,171,169,169,167,165,159,146,156,158,156,155,168,171,173,175,177,178,179,180,179,179,178,166,129,104,168,175,174,173,171,171,169,167,153,109,132,161,159,157,170,173,175,177,178,179,180,181,181,181,181,175,142,94,149,178,175,175,174,173,170,168,145,96,126,164,160,159,172,175,177,178,179,180,181,182,182,183,184,181,159,112,125,180,178,177,176,175,172,168,136,92,138,165,162,161,173,176,179,180,181,182,183,183,183,185,186,184,173,126,106,173,180,179,177,177,174,163,122,93,154,165,163,161,175,178,180,181,183,184,185,185,185,186,187,186,182,135,96,160,181,179,178,178,174,156,114,106,166,166,165,163,177,180,181,182,183,186,187,187,187,188,188,187,184,150,104,143,184,181,180,178,168,140,99,126,170,168,167,165,178,181,182,184,184,185,186,187,187,189,190,188,182,166,124,125,183,182,181,179,159,124,85,150,172,169,167,165,179,180,183,185,185,186,187,188,188,190,191,190,186,180,148,116,165,185,183,178,157,113,99,168,172,171,169,166,179,181,183,186,187,188,189,189,190,191,192,192,189,183,172,138,126,157,168,161,139,98,131,176,173,172,170,168,180,182,184,187,188,189,190,192,192,193,193,192,185,145,141,145,118,117,120,124,99,85,157,177,174,173,171,170,181,183,185,188,189,190,191,193,194,194,194,193,180,131,102,128,125,121,125,123,80,96,176,178,175,174,173,171,181,184,186,188,189,191,193,194,194,194,194,191,166,146,112,109,124,110,115,113,81,101,179,179,176,175,174,172,182,185,187,189,190,193,194,195,195,195,194,172,133,143,119,93,106,77,102,127,95,82,167,179,177,176,175,173,183,186,188,191,192,194,195,196,196,196,193,168,125,125,116,75,81,65,94,135,111,76,130,180,178,177,175,173,184,187,189,192,193,195,195,196,197,197,192,170,127,107,100,61,79,88,137,150,132,85,90,176,178,177,176,174,184,188,191,193,194,196,197,197,199,198,188,160,128,99,87,60,88,127,166,154,127,82,84,175,179,178,176,175,185,188,191,193,195,196,197,198,199,198,187,171,148,109,79,70,112,165,162,139,112,71,96,180,180,179,177,175,186,188,191,193,195,196,197,198,199,198,187,175,156,120,97,99,156,176,152,125,106,67,117,184,181,180,178,175,187,189,192,194,196,197,198,199,200,199,185,172,156,127,100,105,163,167,149,124,101,68,137,185,181,179,178,176,186,189,192,194,195,197,198,200,200,200,184,163,151,126,102,105,155,161,141,117,90,67,154,185,182,180,178,177,186,189,193,195,196,198,198,200,200,200,187,161,153,133,112,105,147,152,131,104,75,74,173,185,183,181,179,177,187,189,192,195,196,198,199,200,201,201,196,170,156,138,116,97,129,131,111,87,58,100,185,184,183,181,179,177,186,187,190,193,194,196,197,199,199,199,198,181,165,142,115,97,109,114,97,75,53,139,186,183,181,179,178,176,185,188,190,192,195,197,197,198,199,199,198,185,166,143,118,106,103,109,102,68,79,175,184,182,180,179,178,176,186,188,191,194,195,197,198,198,199,199,197,187,170,147,132,123,111,110,97,62,124,187,184,182,180,179,177,175
8,195,197,197,198,199,199,202,199,199,198,198,197,197,197,196,194,193,193,193,191,190,188,188,186,184,184,182,181,197,198,200,200,200,195,185,201,201,200,199,199,198,198,197,196,195,193,193,193,192,191,189,188,185,184,182,182,199,200,201,200,205,192,131,185,208,202,203,201,199,199,198,197,197,194,194,193,193,192,190,188,186,185,184,184,200,201,202,201,206,176,123,170,212,203,204,202,201,201,200,199,198,197,196,195,194,193,192,190,188,185,185,185,200,203,204,203,207,176,116,174,214,204,205,202,202,202,201,201,200,200,198,197,196,194,193,192,190,186,187,186,202,203,204,206,207,171,109,185,212,206,206,208,206,204,203,202,201,199,201,202,195,196,195,193,191,189,188,187,204,205,206,206,209,173,108,183,214,207,208,197,205,208,205,208,203,166,143,178,176,168,200,193,194,192,191,189,206,207,208,207,211,187,119,172,218,209,191,154,146,201,177,154,171,168,134,113,159,139,201,194,194,192,192,190,207,207,207,209,211,184,113,159,222,201,186,172,137,151,166,130,123,175,155,109,125,133,185,201,194,194,193,191,207,208,209,210,211,185,135,140,219,197,193,185,151,130,168,143,129,175,146,110,104,126,135,202,196,194,194,192,208,210,211,212,211,205,174,134,206,199,188,194,157,119,159,156,124,158,136,106,92,134,115,155,205,195,195,193,208,211,210,211,212,210,179,139,178,181,166,192,160,121,141,162,115,143,167,123,92,137,118,130,207,195,196,194,209,210,212,212,213,214,185,177,168,170,146,178,161,117,119,161,119,137,185,126,104,151,111,154,209,196,197,195,211,212,213,214,214,216,210,193,164,154,147,163,163,123,108,141,115,82,127,98,121,152,106,181,205,198,198,196,212,212,213,214,215,215,214,179,150,129,125,143,175,159,108,92,93,100,90,129,164,140,113,201,202,200,199,197,213,212,214,215,216,217,211,178,157,132,119,121,181,169,125,93,134,175,169,160,168,121,128,212,200,200,198,197,213,213,216,216,217,217,217,197,169,136,122,121,158,152,119,128,178,177,177,149,138,103,150,214,201,201,199,197,212,213,217,217,218,218,216,200,172,144,126,121,148,165,166,184,194,172,166,140,115,98,191,209,203,201,200,199,212,214,216,217,218,219,215,205,179,154,134,121,152,197,205,202,189,166,156,133,89,144,216,204,204,202,201,200,213,214,217,218,219,220,212,202,184,157,135,131,165,205,197,194,178,157,145,118,99,204,210,206,204,203,202,200,214,216,216,218,219,219,207,197,189,161,141,141,174,197,195,190,167,151,136,95,156,219,207,206,205,205,202,201,215,217,217,219,220,221,210,202,194,165,149,144,179,190,194,181,157,142,117,105,210,212,208,207,207,205,203,201,216,217,218,220,221,222,217,206,198,173,154,141,176,184,180,166,144,131,90,163,222,210,210,208,207,206,204,202,215,217,219,220,220,223,220,212,197,174,155,145,166,175,165,150,132,101,114,217,213,213,210,209,208,206,204,202,216,218,219,220,221,222,221,210,191,171,157,151,157,168,156,140,118,92,198,219,212,212,210,210,207,206,205,204,217,219,220,220,220,222,221,211,192,178,170,164,155,164,150,133,94,163,227,213,213,212,211,209,206,206,206,204,216,218,220,221,222,220,218,215,197,192,176,170,160,158,138,111,116,220,217,216,214,213,211,209,206,207,205,203,217,219,221,221,223,215,211,217,200,195,174,170,160,142,128,97,165,228,216,217,215,212,212,211,209,207,207,205
12,96,101,108,116,134,150,159,167,174,180,181,185,188,190,194,198,202,204,205,207,209,212,213,213,214,214,215,215,97,103,110,117,136,153,160,168,175,180,182,186,189,193,197,198,202,206,208,208,211,213,214,215,216,216,217,217,99,103,112,119,137,153,163,172,177,180,184,188,192,193,199,206,203,209,201,213,214,216,216,216,217,220,220,220,99,106,114,122,141,155,164,172,177,181,187,189,191,211,170,168,217,222,155,150,220,212,221,221,219,223,222,222,100,106,115,124,144,157,165,172,178,184,191,182,221,238,182,136,191,227,172,115,156,168,148,214,226,222,223,223,101,107,116,125,145,160,167,175,181,187,192,183,251,249,198,155,165,228,190,149,112,166,123,147,230,224,226,226,101,109,118,127,148,161,168,176,182,188,192,193,255,255,221,161,161,236,188,151,103,155,152,104,206,232,225,227,102,111,119,131,151,163,170,178,184,190,185,206,235,250,240,162,148,244,190,142,97,153,145,106,210,233,229,229,105,112,120,132,152,163,173,179,184,179,195,214,219,203,210,149,121,205,176,128,98,157,135,118,225,234,231,231,104,112,121,135,154,163,171,180,183,240,255,182,126,133,184,128,101,165,137,111,105,149,121,140,241,231,233,232,106,114,120,138,156,164,175,172,219,255,227,161,133,98,164,143,97,147,141,112,105,141,114,153,243,232,234,234,107,115,122,139,155,164,177,176,249,217,203,175,152,101,140,183,101,145,185,126,120,183,134,163,248,233,236,236,108,115,124,141,157,166,172,188,251,190,179,193,156,123,75,109,68,102,154,116,128,193,149,99,192,246,236,238,108,116,125,143,159,168,169,200,250,198,160,182,148,132,68,51,91,133,133,132,168,151,120,105,130,244,238,239,109,117,125,145,160,167,170,203,255,213,173,147,132,113,62,80,150,202,207,197,186,154,147,128,145,246,239,240,111,118,128,149,160,171,171,211,255,214,190,145,112,114,96,136,203,229,225,206,182,149,139,117,186,249,239,241,112,118,128,151,162,172,171,217,255,223,196,154,136,165,156,208,238,238,227,195,165,147,123,116,224,244,241,242,113,120,129,151,160,172,175,209,251,216,189,158,159,165,164,234,233,236,223,179,154,142,114,151,248,239,242,243,112,120,131,152,160,172,178,198,245,210,186,166,161,151,177,222,223,231,203,166,145,134,113,207,248,240,243,242,112,120,134,154,162,173,182,191,240,207,192,184,167,168,200,218,224,214,183,157,138,119,137,244,243,243,243,245,115,121,134,155,165,176,182,185,224,214,204,200,182,173,199,209,209,184,158,142,133,112,185,251,242,245,246,247,115,122,137,157,165,174,183,183,211,226,203,191,175,157,166,188,185,164,141,132,122,134,237,244,243,244,248,247,116,122,138,155,163,175,182,187,202,236,195,183,165,149,150,162,155,145,131,132,113,194,250,242,246,247,247,247,116,122,141,158,163,176,182,190,196,241,215,180,153,144,156,152,153,146,130,120,141,243,240,244,247,248,248,248,116,122,142,158,165,177,183,192,194,240,233,189,170,169,173,151,154,147,127,104,189,250,241,247,249,249,250,250,117,125,143,157,166,176,185,188,210,255,248,200,188,179,174,147,142,131,121,93,203,251,244,246,249,249,250,250,116,124,144,158,167,179,180,214,249,233,255,211,199,178,168,146,130,119,117,90,206,252,242,248,249,249,251,251,117,124,146,159,168,179,184,255,255,206,232,211,197,173,163,139,118,119,115,94,217,250,244,248,249,250,251,251
10,107,109,112,115,122,135,144,151,154,157,161,166,170,172,180,172,174,182,181,181,182,182,182,180,181,180,179,177,107,109,113,115,124,137,146,152,155,159,163,167,171,174,205,158,150,186,181,182,183,183,182,181,181,181,179,177,108,110,113,116,126,139,146,153,156,159,165,170,171,180,204,164,135,183,184,184,185,184,183,183,182,182,180,179,109,111,114,117,127,139,149,155,157,161,167,171,174,181,204,180,130,178,188,186,186,186,185,183,184,183,182,181,109,112,115,118,128,140,151,156,158,163,169,173,178,179,205,198,139,170,192,187,187,187,187,187,186,184,183,182,110,112,117,118,130,143,152,157,160,164,170,175,179,180,213,206,146,161,196,188,189,189,188,188,188,187,185,183,111,113,117,119,131,144,153,159,161,166,172,177,182,180,212,203,154,153,197,190,191,191,191,190,189,188,187,186,111,114,118,119,132,145,155,160,162,169,174,178,183,181,214,211,154,139,197,192,193,193,192,191,190,190,188,188,111,114,117,120,133,147,157,161,164,169,175,181,184,183,218,217,164,127,194,194,194,194,194,193,192,192,190,189,112,114,118,121,135,147,157,165,167,176,200,155,171,189,211,201,165,119,184,200,195,196,196,194,194,193,192,192,112,116,119,123,133,162,188,156,130,164,188,121,138,196,204,186,154,111,169,204,197,198,197,196,196,195,194,194,113,116,119,124,133,175,186,127,107,117,149,121,92,166,197,168,161,115,163,207,198,199,198,197,196,197,195,195,113,116,118,124,138,156,157,128,118,110,139,127,96,97,139,143,168,131,145,209,199,199,199,199,198,197,197,196,113,117,119,125,139,152,162,164,159,150,151,133,119,96,97,113,141,136,121,200,202,201,201,200,200,199,198,197,114,117,119,125,140,153,165,170,179,183,142,146,133,126,106,99,118,124,106,185,208,203,202,201,201,201,199,198,114,117,119,126,140,154,166,169,191,179,119,133,167,152,137,114,105,112,99,178,212,204,204,204,203,202,200,199,113,116,119,127,142,155,168,173,185,190,162,111,139,175,157,142,119,103,94,160,214,205,206,205,204,203,201,199,114,117,118,125,144,153,182,186,158,199,172,124,125,210,170,157,139,102,89,124,213,206,207,207,206,204,203,202,115,117,119,126,144,153,193,209,155,160,164,128,169,229,184,163,148,110,90,112,211,209,208,208,207,206,206,204,115,117,119,127,144,155,183,209,172,128,169,156,173,229,181,158,148,120,93,111,213,211,210,210,208,207,206,205,115,117,118,128,145,159,169,189,181,135,171,194,175,215,190,161,143,123,99,109,212,211,211,211,210,208,207,206,115,116,118,129,146,160,169,180,182,137,170,231,158,191,194,172,140,119,103,107,211,213,212,212,211,210,208,207,114,116,118,129,146,160,171,173,192,165,186,173,118,164,194,164,137,116,103,114,215,213,213,212,211,211,209,207,115,117,118,128,147,161,173,174,186,212,189,130,137,181,181,156,131,113,101,127,220,213,215,213,212,212,209,209,113,116,117,129,146,161,170,174,176,201,210,191,172,187,165,145,126,116,100,142,223,212,214,214,212,212,210,210,112,114,116,128,146,160,171,172,178,193,206,194,161,163,154,135,127,123,103,152,223,212,214,213,212,211,210,209,111,112,115,129,147,159,172,174,182,110,177,198,150,166,169,165,152,136,101,165,223,214,215,213,213,212,211,210,110,111,113,126,145,159,169,181,137,45,168,212,190,184,172,182,164,135,94,168,225,214,216,214,213,212,212,210
2,195,198,200,202,202,203,204,204,205,204,204,204,202,202,203,202,202,202,203,200,196,195,194,193,192,191,189,188,198,199,201,202,202,204,205,206,206,206,206,206,208,208,207,205,203,198,190,197,205,198,196,194,193,191,191,189,199,200,202,203,204,205,206,207,207,207,208,196,175,176,182,180,170,164,149,131,163,195,201,198,194,193,191,190,200,202,204,205,205,206,207,208,207,208,208,189,167,165,170,171,164,152,144,121,105,138,163,181,198,194,194,192,200,203,205,205,207,207,209,209,209,212,198,179,182,180,180,177,166,144,125,130,133,129,133,142,199,194,194,192,201,203,205,207,208,209,209,209,211,207,181,173,186,187,177,169,165,145,135,142,155,152,123,132,200,196,194,193,202,204,206,207,208,208,209,210,212,204,188,182,175,163,153,172,181,124,109,126,134,128,120,175,202,197,195,194,203,205,207,208,209,210,210,211,212,205,183,183,176,163,155,153,129,142,189,167,149,155,198,205,198,198,196,195,204,206,206,208,210,211,212,212,211,202,200,189,170,151,129,125,144,200,215,213,211,209,203,203,205,204,200,195,205,206,206,209,212,212,212,212,194,194,191,172,143,94,147,210,214,212,208,206,206,204,208,192,159,145,181,200,205,206,209,209,211,211,213,209,188,185,171,145,103,69,153,225,210,212,211,209,206,209,192,138,111,104,132,201,205,207,209,211,212,213,212,203,181,170,142,102,86,84,143,222,210,213,211,208,211,196,146,118,114,108,127,204,205,209,209,211,213,214,208,202,188,163,110,82,93,87,156,222,210,213,210,212,201,148,124,123,114,99,166,205,207,208,210,211,212,213,208,204,187,162,113,85,95,86,142,229,212,212,213,214,155,109,111,116,103,125,205,198,206,208,211,212,213,213,210,203,184,157,107,88,96,91,89,178,218,219,213,171,124,98,100,104,101,189,205,199,207,209,211,213,214,213,207,202,184,147,104,100,96,92,92,92,133,183,149,119,114,115,100,99,178,209,200,201,207,209,212,213,215,213,207,203,183,145,117,108,95,94,98,101,99,105,101,101,111,110,105,184,212,205,203,201,207,209,212,213,215,213,206,200,182,154,122,106,94,94,95,102,107,110,104,106,113,101,181,214,205,206,204,201,206,209,212,213,215,213,201,194,183,152,126,110,93,94,95,101,106,112,110,105,93,156,220,206,207,205,203,201,206,209,212,213,215,213,198,191,179,151,134,110,90,94,98,101,106,113,117,101,112,209,211,208,206,205,203,202,207,209,212,213,215,212,199,191,175,154,132,109,93,93,98,103,108,112,114,96,185,218,209,209,207,206,205,203,207,210,213,213,216,210,195,197,185,154,130,115,93,92,100,105,110,115,102,116,217,212,212,210,208,207,205,203,207,209,212,213,217,206,194,205,189,152,129,115,95,91,102,107,111,114,88,170,221,210,211,209,208,206,204,203,205,208,210,212,214,203,197,204,182,150,128,117,98,88,103,108,111,94,118,217,212,210,209,208,206,205,203,202,204,207,208,210,213,200,198,198,176,144,127,118,101,90,101,108,100,93,194,217,210,209,208,207,206,204,202,201,205,207,208,209,213,199,196,191,168,142,129,117,102,91,100,101,85,173,220,209,211,209,207,206,205,204,202,200,205,206,207,209,211,197,192,180,158,139,126,114,99,92,93,93,168,221,211,212,210,209,207,207,206,203,202,200,202,205,207,209,209,196,184,173,153,134,123,112,102,89,100,189,220,212,212,211,209,207,206,204,203,202,201,199
1,175,177,179,180,182,182,183,183,185,185,185,186,185,183,186,188,184,186,186,186,185,186,186,186,185,185,185,184,177,179,181,182,183,185,185,186,187,186,186,187,188,191,175,163,189,186,187,187,186,186,187,187,188,187,186,185,180,182,183,185,186,186,186,186,188,188,187,190,180,194,186,119,189,194,187,188,188,188,189,189,189,188,188,187,182,184,184,186,187,188,188,188,189,192,188,204,171,158,194,117,166,176,190,190,191,191,191,191,191,191,190,189,183,185,187,188,189,190,190,190,191,193,189,207,168,154,195,121,140,144,155,200,191,193,192,193,193,192,191,191,185,187,188,189,191,191,192,193,193,193,192,207,172,156,204,144,140,165,125,199,193,193,193,194,193,193,193,192,186,188,189,191,192,193,194,193,194,194,177,209,184,146,206,159,134,172,122,186,198,195,196,195,194,194,194,193,188,190,192,193,192,193,196,195,196,203,147,180,200,138,195,167,140,188,141,165,202,196,198,197,197,197,196,195,189,191,192,193,195,196,197,196,198,206,139,174,201,138,183,176,147,201,165,145,204,197,199,199,198,198,197,197,190,192,193,194,197,197,199,198,201,211,145,175,199,141,187,187,145,183,188,136,192,203,200,200,199,198,199,198,192,193,195,196,197,198,201,199,203,211,146,184,215,155,175,201,143,166,201,143,171,209,200,201,201,200,200,200,192,194,195,196,198,199,201,200,205,203,145,177,216,151,148,198,139,166,210,155,151,210,201,203,202,202,202,201,193,195,197,198,199,201,202,201,207,202,162,148,208,129,138,192,138,151,206,169,139,206,204,204,204,203,203,201,193,196,197,199,200,201,202,200,212,205,156,125,198,181,167,161,178,186,167,155,134,197,208,204,204,204,204,203,194,196,198,200,202,201,203,202,212,197,156,159,159,208,170,172,199,176,153,159,127,174,213,204,205,205,205,204,196,198,199,200,202,202,203,204,209,196,189,185,138,182,187,210,202,186,152,148,135,138,215,206,207,207,206,204,196,198,200,201,202,203,203,205,210,191,180,172,142,180,211,209,187,207,194,158,132,118,204,211,207,208,208,207,196,199,200,202,202,203,203,206,216,187,167,161,183,194,187,171,147,215,220,202,164,110,185,215,207,209,208,208,196,198,198,201,202,202,202,207,224,194,160,162,155,152,145,139,167,202,216,200,179,138,167,219,208,209,208,208,196,197,198,199,202,202,203,206,230,207,158,158,158,157,169,194,220,203,198,188,159,133,153,218,207,209,208,208,197,198,200,201,202,202,202,205,228,220,166,162,176,174,214,223,219,211,194,179,152,110,152,218,207,208,208,208,197,198,200,202,203,203,203,205,226,231,182,170,185,172,210,225,223,214,191,169,146,106,147,219,208,209,209,209,196,198,200,202,203,204,204,204,222,232,195,179,198,170,207,230,229,214,185,161,139,106,162,219,208,210,209,209,197,197,199,202,203,204,204,202,215,229,206,191,207,171,196,232,228,204,179,155,131,110,188,216,210,211,210,210,201,202,203,205,206,207,208,205,210,225,216,203,200,183,179,231,223,198,174,149,122,114,208,212,211,211,210,210,172,175,179,184,185,187,191,193,196,221,225,214,194,186,163,222,216,190,166,141,117,129,221,216,219,219,212,211,117,120,122,123,123,125,128,129,127,209,224,206,188,178,160,200,203,180,154,136,121,130,172,173,174,175,195,216,123,124,125,125,126,125,125,128,115,186,217,195,185,177,163,185,194,175,147,134,127,121,119,119,138,183,199,206
19,119,122,125,129,133,136,138,140,142,144,145,148,148,149,149,149,151,150,149,149,149,147,147,147,147,146,146,146,120,124,127,130,133,137,139,141,143,145,146,148,149,149,150,151,151,150,149,149,150,149,149,149,147,147,147,147,121,125,129,132,135,138,140,142,144,146,148,149,149,150,151,151,152,152,151,151,151,150,150,150,150,150,149,147,121,125,130,134,137,139,141,143,145,146,148,150,151,153,153,152,152,152,153,152,152,151,151,151,150,150,151,149,123,126,130,134,138,140,142,144,145,148,149,151,152,151,154,156,153,153,155,154,153,153,152,151,151,151,151,150,123,126,130,135,139,142,144,145,146,149,150,150,157,149,108,140,157,154,156,155,154,154,153,153,153,151,150,150,124,128,132,136,140,143,145,146,148,150,152,149,167,155,90,90,161,155,156,155,154,155,155,154,153,152,152,151,125,128,133,137,141,143,146,148,149,150,153,151,173,162,104,68,149,159,156,155,155,156,157,155,154,154,153,152,126,130,134,139,142,144,145,147,151,154,155,151,167,150,105,61,133,163,157,157,157,158,156,153,153,155,154,153,127,130,135,139,142,144,150,152,124,111,128,137,128,120,108,95,106,123,129,123,120,129,112,138,156,141,156,154,127,130,135,139,144,143,160,147,111,109,113,121,127,122,119,111,104,114,132,119,116,123,112,157,164,109,157,155,128,132,137,141,142,153,161,150,123,85,82,85,109,112,113,100,97,100,107,106,104,102,102,117,115,123,161,154,128,133,137,141,144,162,170,157,118,70,62,71,72,72,76,69,68,79,90,93,93,100,106,118,140,159,156,157,128,133,138,140,159,169,172,142,107,80,67,76,79,74,47,80,143,156,159,158,161,165,164,164,163,158,157,157,129,135,136,153,173,171,174,155,116,77,65,65,84,84,65,59,138,171,162,164,163,162,162,160,160,160,158,158,131,134,141,170,171,172,181,164,116,72,62,57,70,88,80,61,52,158,166,163,164,165,163,162,162,161,161,160,132,132,161,173,172,178,178,161,116,75,62,70,66,62,63,75,49,138,172,164,165,166,165,164,162,161,161,160,128,146,175,172,174,176,173,160,125,81,61,58,78,73,54,44,64,164,168,166,166,166,166,165,164,162,162,161,132,168,173,172,174,172,173,169,140,82,63,52,66,77,71,37,115,178,164,166,166,167,166,165,164,164,162,162,162,176,171,173,169,169,175,162,123,86,70,64,60,57,70,50,148,173,166,167,167,168,167,166,165,164,163,162,178,168,173,168,159,158,157,139,106,94,88,78,72,58,44,70,167,169,168,168,168,168,167,167,166,165,163,163,169,167,165,159,157,154,145,133,116,98,86,84,78,67,41,132,179,168,169,169,169,169,169,168,167,166,165,164,163,160,162,157,156,154,145,131,133,115,82,74,79,73,49,147,177,169,169,169,169,169,169,168,167,167,167,166,159,161,161,151,151,151,139,122,124,103,57,54,78,60,91,178,169,171,170,169,169,169,169,168,167,167,167,165,159,163,151,143,141,137,122,102,89,70,39,50,69,63,154,173,169,169,168,168,168,169,169,168,168,166,166,165,160,159,143,124,121,121,98,75,69,59,54,67,91,146,173,167,169,169,169,169,169,169,169,167,168,167,166,166,150,147,136,112,93,93,81,65,60,138,151,155,170,172,168,169,169,170,170,170,169,168,169,168,168,167,166,166,129,137,133,101,65,48,48,32,104,175,168,169,168,168,169,170,171,172,171,171,171,169,169,168,168,168,167,166
2,195,195,196,196,196,196,195,195,195,193,192,192,191,191,189,190,190,186,185,186,185,183,182,180,179,177,177,176,197,197,197,197,197,197,196,196,196,195,195,194,193,192,190,191,191,188,189,188,186,184,182,182,181,179,177,175,197,197,198,198,198,197,198,198,196,196,196,196,195,195,191,192,193,191,190,189,188,186,183,183,182,181,178,175,199,199,199,200,199,199,200,198,197,198,198,196,193,190,191,188,188,192,192,191,190,187,185,183,182,181,180,177,201,202,201,201,200,200,200,200,199,199,197,204,199,185,187,183,166,170,174,178,180,183,187,186,183,181,181,179,202,203,202,202,202,201,201,202,202,198,208,229,221,216,216,215,198,173,149,136,135,167,178,182,184,183,182,180,203,203,202,203,202,202,203,202,202,193,196,208,202,195,198,204,200,196,174,139,143,169,143,152,191,182,182,181,203,204,204,204,203,203,205,200,205,217,206,210,214,201,186,174,153,162,180,175,190,154,118,167,190,184,183,182,205,206,206,205,205,205,203,206,229,219,210,209,212,208,199,193,165,169,173,153,158,132,150,193,187,187,185,183,206,207,207,207,207,206,204,227,216,176,162,175,187,176,175,205,173,162,174,124,142,162,188,191,188,186,186,184,207,207,208,208,207,206,222,225,187,189,202,206,206,190,188,196,146,125,142,154,196,196,194,195,193,188,186,187,207,207,208,208,208,210,230,207,205,224,227,203,179,167,152,147,159,189,190,198,197,199,190,171,162,181,190,186,208,208,208,209,208,216,219,218,217,202,179,158,129,116,96,139,210,201,203,198,200,170,127,112,111,121,180,190,209,209,209,209,209,218,222,228,197,158,130,109,102,98,88,100,202,201,198,205,163,108,114,123,127,106,164,193,208,209,210,208,206,224,234,208,169,132,107,97,97,94,95,83,136,213,209,183,112,118,129,134,127,133,184,190,208,209,211,206,203,239,228,181,138,118,104,94,96,96,96,95,89,139,190,139,108,134,134,124,147,183,191,189,210,210,211,205,212,243,208,159,128,120,99,92,98,96,96,99,102,86,92,117,119,131,123,146,195,193,190,189,211,211,212,204,213,227,186,147,128,112,92,96,99,104,105,108,112,109,93,118,125,121,125,186,197,193,191,189,210,210,211,203,210,219,181,145,121,106,93,97,105,111,114,119,121,125,109,120,127,119,151,202,195,195,193,191,208,208,211,198,212,221,181,146,121,110,95,98,108,119,124,128,132,135,123,116,129,118,177,201,195,195,193,190,209,209,213,191,213,215,177,149,128,116,101,99,112,126,136,138,141,140,130,118,122,159,197,196,195,192,188,189,210,210,215,193,212,208,174,149,129,121,112,100,116,132,138,140,143,138,125,124,170,199,197,196,193,193,210,225,209,210,213,193,207,206,177,152,135,128,118,102,116,132,137,138,137,134,118,157,206,197,198,196,212,216,244,245,208,209,213,193,204,201,172,151,140,131,119,106,120,127,130,130,128,120,139,194,200,199,194,234,255,233,221,248,212,213,216,198,202,199,168,152,138,129,120,111,123,122,124,125,120,141,194,206,205,195,224,255,248,255,224,222,185,185,189,178,200,197,169,151,134,127,123,119,122,122,120,123,144,182,190,189,179,219,254,255,245,237,254,211,120,121,118,132,212,192,165,143,132,129,127,122,116,122,125,113,116,116,118,106,175,255,253,255,240,224,244,241,120,124,116,160,211,186,164,139,131,129,127,123,115,122,121,113,113,115,105,151,255,252,253,255,233,215,238,240
24,171,172,174,174,174,175,177,177,177,177,178,177,177,177,177,176,175,174,173,171,171,170,169,168,167,165,164,162,175,176,177,178,178,179,179,180,180,180,180,179,180,180,179,179,179,178,176,175,174,173,171,171,171,168,167,166,177,179,180,181,182,182,182,184,184,184,184,182,181,183,183,182,181,180,180,179,178,177,173,164,164,173,171,169,180,182,183,183,185,186,187,187,186,187,186,186,186,185,186,185,184,184,182,181,180,179,180,155,110,173,173,171,183,185,186,187,187,187,187,187,188,189,190,188,188,187,187,187,186,186,185,184,183,181,186,155,94,168,176,174,185,187,187,188,189,190,191,191,192,188,184,193,190,189,190,189,189,187,187,186,186,183,192,155,95,170,179,177,188,189,190,190,192,194,194,193,195,181,123,176,196,194,195,194,193,191,190,188,188,187,196,145,100,179,181,179,191,192,194,195,195,194,195,196,198,171,116,122,200,196,197,196,195,194,193,193,191,192,199,143,109,187,184,181,194,194,196,197,197,197,197,197,200,185,138,95,189,199,197,198,198,196,195,194,191,201,190,127,119,192,186,183,196,197,198,198,199,200,200,200,200,198,157,94,162,205,198,199,200,200,197,197,195,210,176,102,136,194,187,187,198,199,201,201,201,201,201,201,201,204,174,114,122,208,202,202,200,195,202,191,154,159,175,95,165,194,190,189,200,201,202,203,203,202,203,203,203,205,189,140,94,195,207,201,175,146,164,175,133,87,121,102,189,195,193,191,202,203,203,204,204,205,205,206,205,207,198,153,89,154,214,189,177,158,139,133,128,123,85,102,199,196,195,193,203,204,206,206,207,207,207,208,208,208,204,168,125,112,207,176,187,158,147,144,152,151,75,119,206,196,195,194,205,207,207,208,208,209,209,209,209,209,210,188,159,93,150,147,188,174,137,136,141,137,89,123,207,198,196,195,206,207,209,209,209,210,211,211,210,210,213,200,165,121,125,133,163,186,118,70,116,164,118,88,201,201,200,197,207,208,209,211,211,211,211,211,212,213,215,206,189,176,127,104,124,173,108,56,90,169,141,82,151,206,200,198,210,211,213,213,214,213,213,214,214,214,215,208,197,178,111,85,111,153,92,52,117,188,178,114,85,201,201,201,211,212,214,215,215,215,216,216,216,216,216,214,199,167,135,119,118,148,111,81,188,197,175,117,75,194,203,202,212,214,215,216,216,217,217,217,218,218,218,218,201,189,172,132,117,148,117,158,207,186,159,94,83,204,203,202,212,214,216,217,217,218,219,219,218,218,219,219,200,192,191,143,127,104,147,210,207,172,144,85,103,213,204,203,210,212,215,215,217,218,217,217,218,218,219,220,203,186,194,161,140,102,188,209,196,167,134,81,126,214,206,203,212,214,215,216,217,218,217,217,218,219,220,221,205,184,179,169,152,109,172,203,187,157,122,68,145,212,205,202,214,214,215,217,218,218,218,219,220,220,220,222,211,179,178,177,168,127,156,203,184,144,104,61,176,212,207,204,216,216,217,218,219,220,221,221,221,221,223,223,221,189,183,175,177,143,129,189,165,121,79,72,206,209,207,206,219,219,220,220,221,222,223,223,223,223,224,224,226,201,190,181,175,143,108,156,136,95,56,108,218,209,207,208,175,179,184,188,192,196,199,203,206,209,213,214,217,203,192,178,163,137,116,121,129,87,54,175,217,212,211,201,109,108,107,109,110,112,114,118,119,120,123,125,123,165,199,176,164,156,133,118,132,78,67,158,165,162,145,105
21,131,136,140,143,145,147,148,150,152,153,154,153,154,152,151,152,153,149,148,148,145,145,145,143,141,140,139,137,132,138,141,145,147,149,150,152,154,155,156,157,157,156,154,151,145,152,150,150,148,147,147,146,143,142,142,141,134,139,142,146,148,149,152,154,157,158,158,158,158,157,160,167,77,114,160,151,150,149,149,148,145,143,143,143,137,140,145,148,150,151,153,156,159,160,160,159,160,157,165,168,62,104,164,152,153,151,152,150,149,145,145,145,138,142,147,151,151,153,155,158,161,161,161,161,161,158,174,155,65,117,164,155,156,152,147,154,151,149,147,147,139,144,148,149,153,156,158,160,161,163,162,163,166,158,182,151,66,127,167,155,156,137,81,124,160,150,151,149,141,145,149,151,156,157,158,159,161,163,166,166,167,164,185,146,71,141,165,157,151,121,53,112,162,152,152,150,142,148,151,154,157,159,160,162,165,166,168,168,167,167,186,138,69,147,165,159,145,114,61,146,156,152,152,151,143,148,151,155,158,160,162,165,165,167,167,167,165,172,184,133,63,147,169,158,142,96,79,162,154,155,153,153,144,150,153,157,159,161,164,166,166,168,168,170,163,181,186,122,61,156,165,148,140,74,118,167,155,157,156,154,147,152,156,158,160,163,164,167,168,169,166,165,165,194,181,106,77,173,153,142,119,64,151,164,159,158,157,156,147,152,156,159,161,164,167,169,168,176,167,109,105,175,147,78,83,175,148,147,81,86,172,162,161,161,159,158,148,152,157,160,163,166,168,169,169,173,171,119,74,73,72,46,101,171,153,130,61,138,172,163,162,162,159,158,150,154,158,161,164,167,168,170,173,181,169,167,131,93,44,41,102,139,140,92,74,169,167,164,163,162,161,160,150,155,160,163,166,168,171,171,182,194,182,205,177,119,56,48,66,82,95,57,120,177,165,166,165,164,163,163,151,156,160,163,167,169,171,177,179,141,171,181,164,100,57,47,54,61,58,61,162,172,169,169,167,165,166,165,150,156,160,164,169,171,169,189,160,106,155,107,147,120,73,50,40,52,43,100,181,171,171,171,169,166,166,165,154,158,162,167,169,173,172,193,176,132,92,42,126,148,90,54,39,44,42,138,182,173,172,171,170,169,168,167,155,161,163,168,170,171,174,193,148,99,77,46,95,166,108,68,50,44,43,156,180,175,174,171,171,171,169,168,155,160,165,169,171,171,186,197,141,126,115,78,154,178,123,100,61,50,41,156,185,177,177,175,173,172,170,169,154,161,166,168,172,170,194,192,155,143,101,137,218,173,125,113,69,56,52,161,185,178,178,178,173,172,172,170,156,162,166,167,172,173,198,203,176,125,117,210,202,151,115,109,75,60,63,171,181,179,177,179,176,175,174,171,156,162,166,169,174,173,203,217,162,126,140,218,184,149,109,93,81,58,78,183,179,179,178,178,177,176,173,171,157,163,168,171,176,172,205,197,142,149,145,214,180,152,127,76,71,55,102,190,180,182,182,179,177,176,174,173,156,161,166,169,173,173,197,170,171,160,141,214,174,140,121,80,68,54,129,191,181,182,180,180,178,177,176,173,155,159,162,167,170,173,182,182,204,155,158,201,155,123,98,77,71,60,150,189,181,180,178,177,176,175,174,171,155,161,164,168,172,176,176,191,192,142,140,177,139,104,77,71,64,72,170,186,181,181,180,177,178,176,175,172,157,161,165,168,173,177,178,184,168,141,125,154,134,99,84,71,56,85,185,184,183,182,181,179,178,177,176,173
8,139,144,151,154,156,157,163,167,169,170,170,171,173,174,173,174,174,175,175,175,175,175,175,173,173,172,171,171,141,147,154,159,157,174,166,164,173,173,173,174,175,176,176,176,176,176,176,176,177,176,175,174,174,172,171,172,145,152,159,163,160,196,159,138,182,176,179,179,180,180,180,180,180,180,180,179,178,179,178,177,176,175,173,172,148,155,162,166,166,210,155,123,187,182,184,184,185,185,185,185,184,185,184,182,183,182,181,181,180,178,176,175,151,159,165,170,170,223,154,123,193,188,190,191,190,189,190,192,192,188,188,191,187,186,186,185,184,182,180,177,155,162,169,174,176,221,151,128,197,193,195,195,200,197,196,187,186,205,192,165,190,192,190,190,188,186,184,183,159,167,173,178,180,225,163,127,199,198,199,200,172,185,227,179,127,185,218,144,145,199,195,195,193,190,189,187,163,170,176,181,186,228,170,134,197,200,215,235,174,164,219,193,147,162,193,171,128,178,205,199,198,195,193,192,167,174,181,185,189,229,195,162,187,209,236,243,230,208,180,180,193,217,160,120,126,151,211,202,202,200,198,196,170,178,185,190,190,225,201,187,201,223,222,224,237,189,184,189,199,198,169,122,90,131,214,204,205,204,202,199,173,180,188,194,193,222,212,198,219,226,201,171,236,197,178,188,170,161,182,144,85,141,220,207,208,206,205,204,175,183,190,196,196,222,227,194,213,215,212,165,191,214,145,125,120,171,195,156,105,178,220,211,211,209,208,207,179,187,192,198,198,225,238,165,196,196,177,173,171,209,150,92,86,213,211,174,117,167,226,213,215,212,210,210,182,190,195,201,201,225,241,176,148,190,154,156,165,191,179,131,99,195,233,190,133,116,219,219,217,215,213,211,183,191,197,202,204,223,244,203,139,155,171,151,180,198,188,134,200,226,225,197,145,99,187,230,219,218,216,215,187,193,199,204,206,222,252,217,160,134,180,153,209,226,194,190,241,230,198,169,141,107,187,234,222,221,218,216,189,195,201,208,210,223,253,225,184,141,154,164,204,234,231,246,234,209,187,149,127,116,217,229,225,226,230,228,190,198,203,210,212,226,253,236,201,160,149,167,196,240,240,245,229,196,167,142,103,151,244,236,235,219,176,129,191,199,206,211,214,226,253,242,210,181,162,170,187,239,244,236,214,183,155,127,101,206,217,171,137,96,71,68,193,200,207,212,215,225,248,242,220,192,183,169,183,224,245,228,199,168,144,119,102,122,85,68,71,78,78,75,194,202,208,213,217,222,239,243,229,201,202,173,172,206,234,222,189,157,137,111,84,63,67,71,66,80,83,70,195,203,208,214,219,220,229,242,233,209,205,182,165,199,214,214,180,148,130,105,74,64,63,78,61,67,81,80,195,203,209,214,220,223,222,237,230,216,201,181,148,191,195,200,165,137,120,85,72,65,50,70,74,60,68,77,194,202,208,213,218,224,216,231,233,216,197,173,146,163,190,175,154,129,111,56,57,78,54,56,75,68,57,66,196,203,209,213,217,224,218,230,244,224,199,174,150,146,177,166,143,122,96,46,41,69,72,51,63,72,62,60,197,203,209,213,218,224,220,230,237,215,188,173,149,144,158,157,135,108,82,65,32,52,75,63,50,69,69,59,198,204,210,214,218,226,211,231,232,188,189,178,155,142,145,151,133,86,64,77,39,39,65,72,56,56,68,63,191,199,206,212,215,229,166,230,235,197,206,188,161,138,141,146,125,64,48,77,51,30,54,72,65,56,58,67
24,145,148,150,151,152,153,153,153,154,153,154,155,155,155,154,154,155,154,154,153,152,152,149,153,61,0,0,0,149,152,153,154,155,156,156,156,157,157,158,158,159,159,157,157,158,158,158,156,155,153,156,132,32,0,0,0,153,154,157,157,157,159,160,161,160,161,162,162,161,161,162,160,161,161,161,161,159,157,160,136,11,0,0,0,155,157,160,161,161,163,163,163,163,163,164,164,164,164,164,164,164,163,163,162,162,161,161,153,32,0,1,0,157,160,161,162,163,164,166,166,167,167,166,168,167,167,167,170,168,168,168,166,165,163,159,169,94,0,0,0,160,161,163,165,166,168,169,169,169,169,170,170,170,171,171,171,171,171,171,170,168,167,166,165,148,10,0,0,162,164,165,168,168,170,171,172,170,170,171,172,172,172,173,173,173,173,172,172,171,170,169,165,179,61,0,0,164,167,169,169,168,164,175,172,172,173,173,174,174,176,175,176,177,176,176,176,173,171,172,168,178,122,0,0,166,167,171,171,176,112,155,179,174,176,176,177,177,177,177,177,179,178,178,179,176,174,174,173,174,158,73,72,167,169,172,173,175,100,105,189,174,178,177,179,179,178,179,179,179,180,179,178,178,177,176,175,175,162,99,160,168,171,175,175,180,127,58,174,180,178,179,178,178,180,179,180,180,179,179,184,180,178,179,176,179,158,124,180,170,172,176,177,178,154,67,120,191,176,179,179,180,183,187,183,183,188,185,156,174,183,178,179,178,175,155,117,171,174,177,178,179,176,119,62,175,183,180,181,183,174,160,188,174,146,196,129,94,178,181,180,179,177,155,84,172,175,177,178,179,183,156,82,101,189,184,178,194,177,115,167,172,75,133,168,57,150,191,179,177,167,122,87,173,178,178,179,180,183,172,142,93,133,191,176,209,203,161,115,161,100,109,180,73,151,193,177,189,161,85,52,172,176,178,178,180,182,180,159,122,108,161,185,180,210,194,101,130,139,99,169,97,149,194,180,196,109,58,132,171,175,177,177,179,180,181,176,150,161,145,160,152,176,206,126,85,145,97,178,99,121,162,179,169,54,135,195,172,176,179,179,179,180,182,179,195,180,152,128,115,113,185,153,64,104,115,174,123,53,130,171,106,84,188,174,172,175,179,179,179,180,184,182,195,196,135,112,86,69,131,166,60,91,134,148,158,65,149,133,74,162,184,177,172,175,177,178,179,180,183,184,185,202,199,143,85,92,103,150,91,84,165,87,116,142,145,84,86,189,179,179,180,184,186,186,187,187,188,191,189,201,210,199,143,83,98,134,125,65,165,94,170,164,128,60,136,190,180,179,124,129,132,138,142,148,154,159,159,177,220,209,205,127,84,133,169,130,161,183,186,126,100,85,195,194,187,182,47,47,49,51,51,52,54,55,51,76,214,199,206,171,111,97,172,222,222,212,156,114,82,70,109,109,135,158,58,58,60,59,57,58,58,58,60,46,159,202,206,197,140,107,119,204,210,178,136,100,64,76,108,147,176,191,58,56,56,56,59,60,59,60,62,54,81,202,214,199,153,115,107,173,194,153,128,70,78,198,199,190,192,204,56,55,55,55,58,59,59,60,61,64,47,160,198,162,125,101,106,141,161,131,94,54,124,161,169,188,179,187,56,57,57,56,56,56,57,60,60,63,46,126,195,138,131,119,114,130,141,115,62,73,179,139,128,157,170,170,53,55,55,57,58,57,57,60,59,60,49,106,197,166,162,143,127,132,139,102,45,89,174,158,93,117,151,167
3,147,157,163,167,170,175,181,187,189,191,193,194,195,195,197,197,198,202,200,199,199,198,199,200,201,198,197,197,150,161,168,172,175,180,186,191,194,196,198,200,200,201,202,205,210,162,197,205,202,203,204,204,203,202,202,201,157,167,173,179,183,188,193,197,200,203,205,206,206,207,207,214,223,124,169,218,208,211,211,209,209,207,206,205,163,172,178,183,189,193,198,203,206,209,210,211,213,214,213,219,224,121,139,227,215,216,216,215,212,213,211,209,169,176,183,188,194,198,203,208,212,214,215,216,219,220,220,224,229,123,121,227,222,222,221,220,218,217,216,214,172,183,188,192,199,203,209,214,217,220,221,223,224,226,227,229,241,145,114,226,227,227,227,226,225,223,221,220,176,187,194,197,203,208,214,218,221,225,226,228,230,229,229,222,253,153,99,218,235,231,233,231,230,229,225,223,180,190,196,200,206,212,217,224,225,228,230,231,231,241,255,204,166,144,120,209,241,236,237,236,235,233,230,227,184,194,200,205,211,217,223,229,232,234,238,243,217,203,255,245,146,214,145,198,250,239,240,239,238,237,234,234,188,198,204,208,215,220,226,233,236,234,221,255,255,196,235,252,186,225,108,155,255,240,243,243,241,240,240,238,191,200,207,211,219,224,230,234,238,251,225,206,255,227,200,242,173,217,150,107,231,253,247,246,245,244,243,242,194,203,210,215,223,227,233,236,242,255,255,208,175,243,183,230,170,194,206,130,154,255,249,250,249,248,245,246,196,206,212,218,225,229,235,240,249,223,214,198,113,209,151,218,241,152,209,152,130,255,254,254,251,251,250,249,199,209,215,220,226,232,239,243,253,217,163,195,108,178,154,135,154,84,181,159,133,255,255,255,255,254,254,251,203,211,217,223,230,234,241,243,253,254,205,175,141,147,218,135,46,82,218,168,126,255,255,255,255,255,255,255,204,213,219,226,232,237,242,246,255,251,177,127,109,90,165,124,75,151,248,172,110,240,255,255,255,255,255,255,205,215,221,227,234,239,245,248,255,253,206,156,123,91,93,134,182,218,220,162,107,232,255,255,255,255,255,255,208,217,223,229,235,241,247,249,255,255,225,163,131,131,144,231,255,252,191,137,119,252,255,255,255,255,255,255,209,218,225,231,237,244,249,250,255,255,236,183,159,159,168,255,255,229,181,118,134,255,255,255,255,255,255,255,209,220,227,232,239,245,248,253,255,255,247,204,171,155,181,255,255,210,167,109,162,255,255,255,255,255,255,255,210,218,226,233,238,243,248,255,255,255,246,205,180,176,177,255,255,197,150,102,199,255,255,255,255,255,255,255,211,219,226,233,240,244,248,252,255,255,244,214,199,193,166,248,235,182,135,106,234,255,255,255,255,255,255,255,212,221,228,234,241,245,249,253,255,255,244,222,199,193,155,213,213,162,123,120,255,255,255,255,255,255,255,255,212,220,227,233,239,245,248,252,255,255,255,227,200,180,137,178,176,135,111,180,255,255,255,255,255,255,255,229,215,228,235,240,248,255,255,255,255,255,255,226,198,163,138,158,144,125,128,255,255,255,255,255,255,254,222,178,155,161,167,176,185,190,197,207,208,250,255,229,205,166,153,152,141,108,180,255,234,228,251,203,219,241,177,170,124,125,126,127,128,126,126,131,128,237,255,226,207,195,163,142,126,103,241,255,239,204,222,211,179,223,141,190,132,134,138,138,137,142,148,143,153,255,246,203,197,202,152,131,107,143,226,255,243,219,178,217,190,178,137,209
18,156,159,160,161,162,164,166,167,167,168,169,171,172,172,173,175,175,175,176,177,177,177,178,177,176,176,176,176,157,159,161,162,163,165,166,168,168,169,170,171,172,173,174,176,177,176,175,177,178,178,179,179,178,177,177,177,158,160,162,164,165,166,167,168,169,170,171,171,172,173,174,177,178,177,176,177,176,178,180,180,179,178,177,177,159,160,163,164,165,167,167,169,170,171,172,172,174,174,175,166,161,176,177,179,179,179,180,180,180,179,179,179,159,161,165,164,165,167,168,169,170,172,173,174,175,175,182,161,127,148,178,179,178,179,179,179,179,180,180,180,159,161,164,165,165,166,169,170,170,173,175,167,157,170,177,168,124,97,154,175,162,154,171,181,181,181,180,180,159,160,163,165,166,167,170,171,172,177,185,168,139,139,179,162,135,102,113,141,139,127,130,181,181,181,180,180,159,161,164,165,166,167,170,168,164,184,187,168,140,126,190,176,159,128,100,105,122,117,97,165,182,182,181,180,160,162,164,166,166,168,180,168,139,168,187,164,139,139,190,193,175,138,102,90,108,107,87,144,185,183,182,181,161,163,165,166,166,179,195,169,134,156,186,163,132,153,184,190,174,138,99,79,92,98,83,144,186,183,182,182,162,163,165,166,167,185,197,171,134,146,186,165,124,161,183,188,171,135,96,72,81,88,83,157,185,183,183,183,163,165,165,166,169,180,190,172,137,137,184,161,113,134,169,192,168,130,93,70,74,77,93,171,185,183,184,183,163,165,166,166,174,185,175,168,140,121,165,149,105,81,146,194,163,125,88,71,68,73,112,184,184,184,184,185,162,164,167,169,179,172,156,145,130,94,125,123,90,54,157,196,161,120,85,72,71,77,126,186,183,185,185,186,164,164,166,177,187,163,147,123,106,81,101,109,77,90,191,188,156,121,88,69,72,78,140,188,185,186,186,186,164,166,166,180,194,171,149,128,119,85,100,117,134,178,199,180,150,120,90,76,76,87,167,187,186,187,187,187,165,167,165,189,193,170,151,132,124,107,117,162,202,191,179,170,144,113,87,77,73,108,184,185,186,186,186,185,166,165,169,199,188,169,151,136,132,134,155,206,207,184,162,156,135,103,84,80,87,155,187,185,185,185,185,183,166,166,176,203,185,169,159,144,141,143,192,213,201,176,149,144,125,94,84,85,142,185,186,186,185,185,185,184,166,166,182,203,185,176,166,145,150,175,209,207,190,168,141,132,115,89,82,122,183,186,186,186,187,186,186,185,166,166,184,204,188,180,170,149,166,197,203,198,183,156,134,122,105,84,95,171,187,186,186,186,187,187,186,186,167,167,180,201,190,183,171,157,175,199,194,183,175,146,126,114,95,81,140,187,187,187,186,187,187,187,187,187,167,167,178,201,191,182,170,167,176,195,182,175,158,141,117,105,88,99,178,186,187,187,187,188,188,187,186,187,168,166,181,197,185,175,167,170,175,186,171,170,147,134,108,96,80,133,189,187,187,188,188,188,189,188,186,186,167,166,185,185,174,170,165,170,176,176,162,168,152,122,102,90,85,165,187,187,187,187,188,188,189,188,187,186,167,167,187,172,166,167,166,169,176,170,160,166,150,116,96,84,118,186,186,187,188,187,187,188,188,187,187,187,167,167,194,182,173,174,176,175,180,164,156,157,137,109,91,94,167,188,188,189,188,188,188,189,189,188,187,188,166,170,201,190,176,177,182,180,181,152,149,146,124,101,85,142,188,188,187,188,189,189,189,189,189,189,188,188
0,173,175,176,179,180,182,186,185,187,188,189,188,189,191,194,191,194,194,193,194,195,194,194,195,195,194,195,195,174,176,179,181,183,184,187,188,188,189,191,191,191,194,196,195,195,195,195,196,197,196,197,196,196,195,196,196,174,177,180,184,186,186,188,190,191,194,194,194,195,197,196,195,197,198,196,196,197,198,198,199,198,197,197,198,174,178,181,184,185,187,189,191,192,196,195,196,197,196,196,199,200,197,197,198,200,201,197,200,201,200,200,202,178,181,183,185,186,188,190,193,195,194,198,200,198,206,212,193,193,207,220,193,196,226,173,195,204,203,203,201,181,183,185,187,188,192,192,194,193,208,234,192,170,234,222,174,149,221,228,184,160,226,172,165,211,200,202,203,181,184,187,189,191,193,195,200,195,241,235,203,138,190,220,192,136,163,225,194,137,192,200,144,198,205,203,206,184,186,187,190,194,192,228,218,177,237,227,216,156,175,220,203,147,162,229,198,125,143,211,163,147,189,210,205,185,187,189,193,186,214,247,221,174,210,236,214,173,173,221,208,145,175,228,183,130,87,193,190,165,133,185,212,183,188,191,193,187,236,247,231,193,189,238,212,175,164,231,213,131,177,220,158,114,44,153,208,188,124,160,221,186,189,192,191,200,242,242,243,206,171,234,213,168,161,235,206,121,133,179,142,83,62,196,219,195,130,180,219,187,190,192,187,216,230,219,242,208,157,215,209,159,147,217,188,123,93,146,134,51,119,228,216,185,130,208,215,189,192,194,188,236,236,214,216,168,117,178,186,149,117,160,155,114,82,151,127,94,203,224,205,146,142,220,213,190,193,194,207,247,226,182,192,139,93,150,163,141,89,121,140,79,115,197,199,205,206,201,176,128,168,223,215,191,195,187,222,247,229,189,172,156,110,133,173,150,71,97,138,160,226,233,222,204,178,163,148,121,182,220,215,195,198,191,214,247,239,216,177,157,128,136,193,146,67,122,221,247,236,228,213,192,163,140,133,110,203,220,218,197,198,196,215,247,243,227,206,178,160,166,182,164,185,243,247,241,228,217,200,172,146,134,112,156,225,217,220,196,200,196,221,247,245,234,219,207,177,184,204,230,247,246,242,234,219,197,177,152,137,118,139,222,220,220,219,195,200,196,220,247,246,243,231,221,203,198,219,235,245,246,238,226,209,182,154,135,122,115,209,223,221,222,220,196,201,197,219,247,245,246,238,227,214,206,213,231,244,238,227,218,192,162,136,124,105,181,229,220,222,222,222,196,201,203,214,247,246,246,237,219,205,203,205,220,231,223,206,195,175,141,130,100,157,232,222,224,225,224,223,197,202,204,204,242,246,241,228,212,195,197,202,212,214,198,182,163,147,128,98,138,231,224,225,225,225,224,224,201,207,210,204,235,247,235,223,209,194,204,212,215,207,186,166,138,117,85,111,224,228,225,226,227,226,224,225,182,171,170,155,158,164,149,137,132,126,140,143,138,132,118,113,104,86,97,226,230,223,227,226,228,228,226,226,133,121,122,115,100,98,96,82,75,59,54,44,37,40,35,34,40,44,76,162,225,228,227,228,229,228,227,227,123,126,123,117,111,105,98,84,75,64,59,46,40,38,35,31,29,33,33,14,149,244,225,228,228,228,227,227,133,123,126,121,113,100,95,85,70,64,55,44,38,36,32,27,29,30,35,16,177,240,226,228,228,229,230,230,149,126,127,119,113,100,93,81,67,63,53,44,38,35,31,28,27,30,20,74,242,226,228,228,229,229,231,232
6,162,163,163,162,162,163,162,162,162,162,161,160,159,158,157,155,154,153,152,151,150,149,147,145,145,143,140,138,164,164,164,164,164,165,164,164,164,164,163,163,162,160,159,158,157,155,155,153,152,151,150,148,146,145,143,141,165,165,166,165,165,166,166,165,166,166,165,163,163,163,161,159,159,158,157,156,153,153,152,150,149,146,144,143,167,167,167,167,167,167,168,169,168,168,167,166,165,163,163,162,160,161,159,158,157,157,156,154,152,150,146,145,168,168,169,169,169,168,169,170,169,169,168,168,168,168,167,166,165,163,159,154,151,149,143,138,139,138,146,148,169,169,170,170,170,170,171,171,174,174,172,166,165,160,152,145,138,125,110,112,119,119,105,112,157,142,125,152,170,170,171,170,170,171,172,173,160,140,130,122,124,122,118,110,110,106,93,112,111,102,104,104,132,112,114,154,171,172,173,171,171,174,168,150,129,111,108,114,117,125,125,121,106,95,84,78,71,76,80,74,86,112,146,152,173,173,173,174,174,158,142,138,130,106,87,94,100,94,81,78,62,58,72,95,113,130,139,150,159,161,156,153,174,174,176,174,147,132,137,134,121,100,66,54,36,65,122,128,136,142,160,172,171,169,167,164,160,158,156,156,174,177,174,143,129,135,137,134,132,124,95,49,22,56,125,155,178,178,170,167,165,163,163,163,161,160,158,157,179,174,147,134,139,143,143,143,145,130,78,38,36,31,26,33,58,157,173,168,169,167,165,165,163,161,160,158,161,139,139,147,146,147,144,134,139,99,41,29,33,37,40,39,16,86,183,169,170,169,167,165,164,162,161,158,135,139,148,147,144,145,130,125,131,97,65,36,15,28,35,40,34,23,154,176,170,169,167,166,165,162,161,159,140,144,148,149,147,134,126,132,133,135,118,65,24,24,23,23,33,89,169,171,170,170,169,166,165,163,162,161,142,144,150,149,141,127,127,130,127,133,108,52,31,31,34,18,119,189,172,171,171,170,169,168,166,165,163,161,142,148,150,139,129,125,124,120,117,113,81,34,23,27,35,9,116,187,171,174,171,169,170,168,167,165,164,162,144,142,131,129,130,125,125,114,102,103,93,53,14,22,19,75,170,174,172,171,171,169,169,166,164,162,160,160,133,122,120,126,122,113,104,98,101,116,121,73,30,37,16,127,189,173,172,170,170,170,169,165,166,166,168,162,122,122,122,114,101,96,96,102,110,119,109,59,31,28,11,130,184,172,171,171,170,169,169,172,159,139,105,73,122,120,110,101,97,98,97,93,89,86,56,23,32,41,113,180,176,182,182,178,173,171,172,125,60,34,26,24,110,98,87,95,97,95,80,61,48,37,33,96,152,172,184,180,173,143,130,86,73,74,64,33,29,32,17,23,76,53,47,66,75,69,52,40,43,81,132,184,180,176,176,174,96,49,40,9,18,17,12,20,15,25,16,4,36,21,35,56,58,55,50,55,70,89,91,83,85,90,89,67,41,35,34,19,5,22,9,14,8,11,12,0,24,39,84,82,82,83,82,80,80,76,75,74,60,49,35,27,26,24,13,24,0,13,6,5,7,9,3,0,21,67,96,86,87,92,88,83,88,88,89,76,38,21,28,23,15,17,13,18,1,1,5,1,5,8,0,3,27,75,84,82,83,84,82,80,82,78,60,31,25,9,17,21,11,10,9,11,6,0,2,0,4,6,0,3,35,81,81,82,86,84,81,82,75,54,41,11,18,11,6,19,7,7,3,5,7,0,0,0,3,4,0,3
1,118,120,122,124,127,130,132,132,133,133,134,135,136,135,135,134,133,132,135,132,131,130,130,127,127,127,125,123,119,123,125,126,129,131,133,134,136,136,136,136,136,136,135,135,140,137,123,134,132,131,132,129,128,127,126,125,121,125,128,129,131,133,136,136,137,137,137,138,138,136,143,130,144,148,83,124,132,133,131,131,130,128,127,127,123,126,130,132,132,136,138,138,139,139,139,139,140,138,165,118,93,143,77,94,108,114,136,131,132,131,129,128,125,129,132,133,135,137,139,140,142,142,142,142,139,149,170,108,73,133,74,93,109,83,139,133,133,133,132,130,127,131,133,135,137,139,141,143,144,144,142,154,148,105,143,96,85,148,81,94,112,76,136,136,135,134,133,132,129,132,135,137,139,141,143,145,145,146,144,170,134,67,115,96,91,148,87,81,112,78,135,140,137,136,134,132,130,134,137,139,141,143,145,146,148,147,148,171,116,67,116,89,80,126,76,98,126,82,129,143,138,138,136,135,132,136,138,140,143,145,146,148,150,148,157,172,113,67,105,76,93,121,69,102,123,79,125,146,140,140,138,137,134,137,139,142,144,145,148,150,152,148,166,163,105,77,110,74,112,131,74,95,116,76,130,147,143,142,140,139,136,139,140,143,146,147,149,151,152,149,168,154,96,87,128,80,97,120,71,114,123,79,133,148,144,143,141,139,136,140,142,144,148,149,150,152,154,151,176,158,116,77,105,60,70,88,62,132,120,80,135,149,146,145,143,141,137,141,144,146,148,149,151,153,156,154,177,144,102,65,69,69,73,72,75,118,98,75,145,149,147,146,145,144,139,144,145,148,149,151,153,156,157,158,171,142,124,117,89,106,78,111,121,86,74,86,155,148,148,147,145,143,140,145,147,149,151,154,156,157,157,165,186,173,132,148,145,136,130,144,113,68,65,112,158,148,148,148,146,144,141,145,149,151,153,156,157,159,156,179,195,143,105,113,141,148,144,129,115,93,50,120,159,149,150,149,147,145,142,146,150,152,156,157,159,161,157,189,175,115,104,75,75,111,101,129,145,109,55,124,161,152,151,150,149,146,144,148,151,154,158,159,160,162,161,194,180,143,103,93,84,71,117,120,165,128,69,109,163,152,153,152,149,148,146,149,153,156,158,161,163,163,167,196,178,150,99,103,78,126,180,132,160,139,88,69,155,157,154,154,151,149,147,151,155,158,160,163,165,165,169,193,180,148,95,107,89,172,181,165,133,113,101,68,148,160,155,154,152,150,147,152,155,159,161,163,166,166,172,192,186,141,101,104,119,192,183,155,133,100,79,77,161,159,157,155,154,151,149,154,157,160,162,165,167,166,174,194,177,132,119,91,148,193,174,152,126,111,61,94,169,159,159,157,155,154,150,155,159,161,163,166,168,167,174,192,168,148,127,100,172,187,167,145,122,99,57,134,169,161,161,159,156,155,151,155,159,162,165,167,168,175,181,184,168,164,131,118,178,179,159,138,112,73,80,169,163,163,161,159,157,155,152,156,160,163,166,167,175,141,133,189,168,170,130,109,160,158,138,119,96,55,137,173,164,164,163,161,159,157,154,157,161,166,166,168,175,78,52,135,166,162,101,93,121,124,112,95,56,89,177,166,167,166,164,162,161,159,154,158,161,165,166,176,139,60,64,54,82,94,76,91,99,98,79,59,63,162,172,167,168,167,165,163,161,159,152,156,161,165,165,175,99,63,61,58,54,58,62,70,68,68,45,23,118,181,167,169,168,167,165,163,161,159
11,173,176,177,179,181,181,182,182,182,182,180,180,177,178,178,176,174,174,172,172,171,169,167,166,164,164,163,159,176,178,179,181,182,184,183,183,183,182,183,181,180,181,182,179,178,176,175,174,172,172,170,168,166,165,163,160,176,179,182,182,184,185,185,185,185,185,184,182,181,181,169,179,181,178,177,176,173,172,171,170,167,167,165,164,179,181,183,185,187,186,186,186,187,187,186,185,183,197,141,130,188,178,179,179,176,174,174,172,170,167,167,165,180,182,185,187,188,188,187,187,188,188,188,187,186,201,146,102,185,180,180,181,179,177,176,174,173,169,167,166,182,184,186,188,188,189,189,190,190,190,189,188,188,196,145,107,182,183,181,181,180,179,177,175,173,172,170,167,184,186,188,188,190,192,192,192,191,192,191,189,188,209,158,111,179,187,182,182,181,180,179,176,175,172,171,169,185,188,189,191,193,193,194,194,193,192,192,191,192,216,166,108,174,190,183,183,182,181,180,177,176,173,172,171,187,189,190,193,194,194,194,195,194,194,193,191,197,210,153,102,175,190,184,185,184,182,180,178,177,176,174,172,188,189,192,194,194,194,195,195,195,194,197,195,203,202,151,99,180,191,186,186,185,185,183,181,178,177,174,173,188,192,194,196,195,196,197,200,202,196,170,158,208,198,152,107,186,190,188,188,187,186,184,182,180,177,173,173,192,194,195,196,198,203,199,180,175,191,151,97,164,178,129,108,194,191,188,188,188,187,185,183,182,179,176,174,193,195,198,198,187,176,201,156,100,132,166,111,84,108,86,116,204,193,191,189,188,188,186,183,182,180,178,175,193,196,198,206,180,106,154,170,98,117,169,110,68,82,72,148,204,192,193,191,190,190,189,187,182,181,180,178,196,197,203,214,194,125,119,180,103,115,153,99,70,81,71,157,203,193,194,190,187,180,172,177,188,184,180,178,198,197,219,224,197,134,94,156,97,100,139,92,67,71,63,155,206,194,194,183,180,162,142,133,138,179,181,178,196,204,221,203,186,139,76,120,91,111,148,106,62,67,67,162,203,193,205,187,156,127,106,102,75,143,190,178,197,206,230,203,184,131,73,136,97,127,194,129,72,78,81,143,195,197,183,129,77,86,121,138,127,168,188,181,199,209,235,217,172,113,91,173,136,129,226,127,70,97,124,152,189,182,129,69,108,188,199,197,196,190,183,181,198,211,234,207,162,163,114,188,200,86,137,109,104,141,133,148,155,124,72,126,205,197,192,190,187,186,185,182,198,211,231,206,180,166,113,158,151,86,150,179,161,146,121,122,110,67,124,210,197,196,195,192,190,187,186,184,201,209,225,214,195,169,174,183,189,178,173,164,150,137,116,96,68,104,205,200,198,197,195,193,191,189,188,185,201,205,220,211,193,170,159,170,190,178,165,155,135,130,105,64,116,201,203,200,199,198,195,194,192,191,188,186,214,214,215,208,182,149,139,159,167,159,155,136,129,115,68,134,214,205,203,202,201,198,195,194,193,192,188,187,90,150,208,188,161,134,155,164,159,148,136,124,97,76,150,216,204,203,203,201,201,198,196,194,193,191,188,187,46,61,174,189,182,180,168,154,150,127,103,67,107,186,215,205,205,203,202,201,200,198,197,194,192,189,187,185,69,63,74,144,179,174,154,141,131,105,62,101,220,214,206,207,206,205,203,202,200,199,197,195,194,191,188,188,60,62,56,62,103,121,128,120,101,74,53,184,217,207,209,208,207,206,205,202,200,200,197,196,194,190,189,179
21,149,151,153,156,158,160,159,160,161,164,164,162,163,163,163,164,164,163,163,162,162,162,162,161,159,159,157,157,151,153,155,157,158,160,162,163,163,163,163,164,163,164,166,166,165,164,164,164,164,163,162,162,161,159,159,158,152,155,156,158,160,162,164,164,164,163,191,165,144,168,168,168,168,167,166,166,166,165,164,163,163,162,161,160,155,156,158,161,163,163,164,165,167,165,201,186,125,158,171,168,169,169,169,169,168,167,167,168,165,164,163,162,156,158,160,162,164,165,166,168,170,165,181,205,135,135,175,169,171,171,171,170,170,169,170,159,167,166,166,163,158,160,162,164,166,169,168,169,170,169,170,207,177,136,165,172,172,173,172,173,169,181,173,115,163,169,168,167,159,161,163,166,168,170,169,170,171,173,167,200,206,145,147,178,174,174,174,175,169,195,162,108,167,171,169,169,160,162,165,168,171,171,171,173,173,175,171,191,213,154,131,176,176,175,176,172,182,200,143,125,177,170,171,170,161,163,166,169,171,172,173,174,175,175,175,179,214,171,129,168,178,176,177,174,198,191,129,148,180,172,172,171,163,165,168,169,172,173,174,174,175,177,176,193,201,186,126,155,183,179,176,182,197,169,115,167,177,174,175,173,164,167,169,171,173,175,176,175,176,173,187,222,199,183,132,112,179,181,177,198,193,139,126,183,175,176,176,173,166,169,170,173,175,175,176,178,177,193,194,196,206,181,158,129,149,183,186,202,186,121,160,184,177,177,177,175,167,169,172,175,175,176,178,179,182,219,196,175,211,198,191,187,139,140,175,181,152,121,183,180,180,178,177,175,169,171,174,175,176,178,181,178,191,194,197,185,146,148,202,194,146,102,135,146,113,147,188,180,182,180,178,177,170,173,176,176,179,181,183,178,195,198,148,130,94,85,155,202,161,111,106,117,103,174,185,181,182,181,180,179,171,174,176,177,181,182,184,180,200,187,148,149,122,105,117,207,187,132,96,97,114,188,184,184,182,182,180,180,173,175,177,179,181,183,184,181,205,208,186,157,124,129,120,193,209,150,102,84,131,193,185,186,184,183,182,181,174,176,178,180,182,184,185,183,214,210,164,139,127,146,146,203,216,169,120,81,137,194,185,186,185,185,184,183,175,177,180,181,182,185,187,186,215,197,159,147,153,160,173,222,212,175,134,90,136,196,186,187,186,186,184,185,176,178,181,182,184,186,187,187,217,208,178,167,165,169,199,223,205,172,137,90,138,198,187,188,188,187,186,186,175,179,181,182,184,185,187,186,216,213,188,167,177,184,211,223,205,165,140,94,138,199,188,190,189,189,188,187,175,179,181,182,183,185,188,185,214,219,195,172,178,194,221,221,205,165,136,94,145,199,188,189,189,188,187,187,177,179,181,183,185,187,189,185,211,222,196,186,180,202,223,213,197,161,133,92,151,199,188,189,190,189,187,186,177,180,181,184,186,188,190,188,207,223,201,203,193,206,223,211,190,161,127,90,149,202,190,191,191,191,189,188,178,180,181,186,187,188,190,189,198,223,211,210,204,200,216,195,181,156,118,86,150,203,191,193,192,191,192,186,178,180,183,186,189,191,192,192,192,217,217,212,201,190,201,179,168,154,113,83,158,203,192,195,196,199,192,128,180,183,186,189,190,193,194,195,193,211,221,208,185,170,181,172,164,157,107,83,182,201,194,198,193,153,110,84,162,167,171,173,176,177,181,186,172,182,218,196,168,150,163,175,158,149,89,99,202,195,197,191,128,90,85,79
14,123,128,131,134,137,140,141,143,146,147,149,151,153,154,153,154,156,157,159,160,161,161,161,163,163,163,163,164,125,128,132,135,138,141,143,145,147,148,151,152,155,155,157,158,160,161,160,161,161,162,163,164,163,163,164,165,126,129,134,138,139,141,144,146,148,148,150,151,152,159,138,135,148,150,162,165,166,164,164,164,164,163,166,166,127,130,134,138,140,142,145,148,149,148,155,158,159,151,101,92,135,140,155,135,146,169,165,164,165,164,166,166,127,130,134,138,140,143,146,147,149,165,167,151,130,113,96,87,123,145,136,88,118,176,164,168,168,168,168,168,128,132,135,139,141,144,145,150,177,178,147,96,77,82,95,93,103,111,109,79,78,162,169,168,170,169,169,169,130,133,137,141,143,145,145,182,182,149,113,71,50,58,78,91,117,109,116,122,99,130,166,169,170,170,169,169,130,133,137,141,145,142,155,193,143,96,66,73,65,79,89,61,80,102,107,133,142,113,123,177,169,171,170,170,131,135,139,142,145,141,177,180,115,67,61,72,66,96,86,68,88,101,113,104,110,84,89,175,171,170,172,172,132,136,140,142,144,148,193,157,106,61,58,58,60,78,66,91,107,72,109,126,117,108,97,120,176,174,172,173,132,136,139,143,140,166,189,134,78,56,65,71,70,59,63,98,95,84,163,177,166,134,114,93,136,167,174,172,133,138,140,145,143,185,165,113,80,76,71,77,74,75,80,71,85,154,175,170,174,174,142,136,105,156,178,173,133,138,142,141,158,195,155,116,98,77,71,73,73,82,87,65,136,180,169,171,176,160,148,134,102,175,174,175,133,138,143,140,182,193,150,112,87,73,69,68,72,81,76,93,174,170,173,173,174,149,151,104,128,184,173,175,133,138,143,141,189,180,141,111,78,67,67,70,77,80,63,113,180,168,173,176,170,143,144,88,132,186,175,176,134,139,144,143,194,177,134,98,70,67,69,73,79,69,61,95,175,175,175,174,135,138,140,92,115,185,174,176,134,140,141,151,199,166,134,100,74,69,73,77,81,79,86,91,125,165,167,148,145,147,136,89,126,186,175,176,135,141,139,162,200,163,132,99,76,68,71,82,85,94,107,117,108,105,129,148,157,151,114,114,176,177,176,176,135,142,137,174,196,159,130,98,78,70,72,82,92,104,116,126,128,118,148,153,152,124,118,178,179,177,177,177,135,141,137,183,189,158,131,104,83,72,75,86,105,118,129,129,131,126,142,148,118,116,176,181,178,180,178,178,135,141,140,190,181,155,130,107,89,75,74,94,121,132,140,139,130,126,122,115,104,173,181,178,180,180,178,178,135,140,145,190,173,153,128,111,91,76,75,103,135,138,138,138,134,124,91,94,167,180,177,180,179,179,180,180,136,139,151,187,165,147,132,116,94,79,76,110,140,135,135,134,135,102,100,168,182,177,179,180,180,180,180,179,138,138,157,184,158,149,138,117,101,84,80,109,140,135,121,129,112,100,174,182,177,180,180,181,181,181,180,179,137,136,168,186,160,155,141,118,102,91,79,100,130,123,111,112,97,162,183,178,180,179,180,181,180,180,180,180,136,136,183,186,165,159,140,119,103,90,78,92,114,107,112,86,151,182,177,180,179,179,180,181,180,180,180,181,137,144,195,180,172,158,128,110,97,82,80,92,98,92,104,148,182,175,178,180,180,181,181,181,181,181,181,181,132,161,195,170,168,147,112,100,89,81,87,88,81,95,155,182,175,177,178,181,181,182,181,181,181,181,181,181
6,186,188,190,191,191,191,192,192,191,191,191,190,189,188,188,188,187,186,184,183,182,182,181,181,180,178,175,174,188,189,191,193,194,194,194,193,193,193,193,192,191,189,188,189,187,186,185,185,185,184,184,182,181,179,177,175,188,190,192,194,195,195,196,195,195,194,194,193,192,191,190,190,189,188,187,186,186,185,184,182,181,180,179,177,189,192,194,195,196,197,197,196,197,196,195,195,194,193,192,191,191,190,188,187,187,186,185,183,183,181,179,179,191,193,195,196,198,199,198,198,199,198,197,197,196,195,193,192,193,191,188,184,184,184,184,180,180,177,175,179,193,194,196,199,200,200,200,200,200,200,199,198,196,193,188,184,181,180,175,159,162,172,172,160,167,165,178,199,194,196,197,199,201,201,200,200,200,198,188,179,181,183,179,180,182,181,171,165,161,175,174,161,164,162,167,186,194,196,199,200,201,202,201,200,204,202,181,165,171,180,182,185,186,183,168,153,150,148,146,138,135,134,130,137,196,198,199,200,202,202,202,201,213,210,187,173,165,164,165,161,157,150,140,127,107,103,98,118,141,149,162,173,198,199,200,201,202,203,203,204,221,216,201,184,166,155,151,145,138,129,114,96,73,62,83,168,189,188,187,186,199,200,201,202,204,205,203,213,225,221,208,176,148,143,148,153,150,144,134,125,117,91,147,192,190,189,187,186,200,201,203,203,205,206,204,222,229,224,197,152,132,136,141,150,154,149,140,133,128,102,160,194,193,190,188,186,200,202,205,205,206,205,207,228,226,219,176,142,141,136,129,135,148,139,132,129,116,95,168,195,194,191,189,187,201,203,205,206,207,203,216,228,224,220,193,175,156,139,122,129,149,142,138,135,117,112,189,196,194,192,190,189,202,204,205,207,206,207,224,226,225,226,220,203,164,140,144,150,151,141,131,121,116,108,178,197,194,193,191,189,203,206,206,208,203,215,226,227,227,223,221,206,157,131,136,140,141,135,122,114,108,98,177,197,195,194,192,190,202,205,206,204,204,220,226,228,223,217,213,194,157,136,127,119,124,129,126,117,99,121,193,197,195,195,192,189,201,203,204,195,210,222,225,224,218,212,206,200,182,160,126,100,112,128,124,116,97,150,198,196,195,193,191,190,201,204,198,192,218,224,224,220,219,217,208,205,206,183,137,115,128,141,129,112,100,117,193,196,195,194,191,173,203,204,191,204,219,223,221,219,220,214,206,211,206,172,128,114,120,119,109,98,89,116,194,198,196,184,138,87,203,196,198,214,219,218,215,210,206,203,202,204,186,150,121,114,110,106,99,96,106,169,196,180,139,93,57,45,199,192,207,214,216,210,202,197,192,194,190,176,154,130,116,105,100,130,139,154,168,157,119,78,51,43,39,38,190,198,210,212,211,201,191,187,185,182,176,156,136,124,121,111,131,155,134,114,87,62,37,28,31,35,34,33,183,207,209,208,200,189,178,173,179,173,163,151,138,120,98,73,67,54,43,39,38,38,17,19,25,30,30,30,195,210,209,204,195,184,170,164,162,154,143,131,111,85,59,40,29,30,29,32,35,28,9,14,20,26,28,26,207,210,207,199,187,168,153,148,140,124,109,94,72,48,38,41,24,20,24,28,32,23,5,10,17,25,26,23,211,209,205,198,173,145,141,136,126,108,80,57,41,31,30,38,27,15,23,25,26,18,3,9,18,25,24,23,211,208,203,191,150,137,149,139,117,91,53,39,29,25,26,34,27,17,23,18,23,13,2,10,18,24,21,20
0,186,187,189,190,191,192,191,190,190,191,191,190,190,189,189,189,188,188,187,187,186,185,185,183,184,182,182,181,187,188,190,191,192,193,194,193,192,192,192,191,192,191,191,190,188,188,187,188,188,186,186,184,184,183,182,182,188,189,190,192,193,194,194,194,194,193,193,193,193,192,191,189,188,190,190,188,188,187,187,185,184,184,183,184,189,190,192,192,193,195,195,195,194,193,194,193,192,193,192,203,189,169,187,191,189,190,187,187,186,185,184,184,190,191,192,193,194,195,195,196,196,196,194,193,201,189,192,225,195,163,143,177,167,175,191,184,187,185,185,184,192,193,194,194,195,195,195,198,196,195,193,205,220,198,194,227,198,165,139,187,166,135,161,142,170,190,186,186,192,194,195,195,196,197,197,196,198,207,181,213,220,201,193,230,207,155,179,207,162,117,135,123,167,192,186,187,193,195,197,196,198,199,200,193,214,233,196,210,228,199,179,226,211,156,156,189,150,114,141,125,180,190,187,187,195,196,198,199,198,199,199,196,221,245,219,190,234,204,161,199,195,152,126,168,134,133,164,124,176,191,187,188,196,197,197,198,199,201,197,205,213,234,229,174,213,194,144,165,182,149,124,166,129,165,181,127,163,195,187,189,197,199,199,199,199,201,198,212,206,206,204,160,187,179,132,128,185,144,119,174,137,191,187,130,166,196,189,190,197,199,199,200,200,202,197,220,219,196,191,145,166,181,130,111,190,153,122,128,174,208,176,125,176,196,190,190,197,199,200,200,201,201,203,226,196,168,187,159,143,194,138,118,177,194,194,146,184,201,159,125,187,194,192,190,199,200,200,201,201,200,211,233,206,172,158,165,141,181,147,161,206,213,199,180,158,174,150,133,195,193,193,191,199,201,202,203,203,202,212,236,210,186,165,159,188,192,204,215,212,202,183,170,159,143,139,136,197,193,193,191,200,202,204,204,205,201,221,241,215,200,189,176,193,218,224,224,213,197,179,164,152,134,124,141,199,193,193,193,200,203,204,205,206,202,228,241,220,210,197,184,204,226,232,233,215,193,179,160,144,130,120,175,199,195,195,194,202,204,204,205,207,203,229,237,220,206,193,187,208,228,235,233,215,193,172,153,137,121,141,201,197,195,194,194,201,202,204,204,207,203,227,238,222,207,192,185,204,224,226,220,209,188,164,143,130,120,180,201,196,195,195,194,201,202,205,205,207,202,216,235,219,207,197,188,207,217,211,201,186,171,156,138,123,170,202,197,196,196,195,194,201,203,205,205,207,204,213,225,208,210,204,190,204,212,201,183,166,160,145,130,174,203,198,198,198,197,195,194,204,204,206,206,208,205,214,225,211,211,201,190,199,210,193,167,152,147,130,174,205,199,201,199,197,197,196,194,204,204,205,207,208,206,218,237,224,206,194,192,191,199,178,150,143,128,167,206,201,200,201,201,198,198,197,194,203,204,206,204,214,201,199,250,231,205,195,195,181,189,163,141,128,152,207,202,203,201,201,200,199,199,199,195,202,204,207,203,221,252,187,207,223,200,196,188,177,180,148,127,119,188,206,201,201,201,199,199,199,196,185,177,205,206,209,204,225,255,242,157,233,222,211,201,185,176,150,127,123,197,207,207,204,197,202,204,188,171,175,170,166,167,165,160,239,252,255,163,165,234,219,207,188,172,157,148,137,148,158,151,155,191,208,198,182,140,191,179,128,129,118,152,255,249,255,180,127,228,211,197,180,166,152,142,139,133,117,131,191,215,199,180,190,132,169,192
11,168,170,172,174,174,175,176,177,178,178,178,178,178,180,180,181,180,179,179,179,178,177,177,178,176,174,173,173,169,172,174,174,175,177,178,178,179,180,179,181,183,176,183,183,182,181,181,181,180,179,179,179,179,177,175,175,172,174,175,177,177,178,179,181,181,182,180,188,196,141,182,185,183,182,182,183,183,181,181,180,180,180,178,177,174,174,177,178,179,180,181,183,183,184,179,201,195,125,178,185,183,183,184,184,184,184,184,183,182,181,179,178,174,176,178,180,180,181,182,184,184,185,182,220,180,125,184,185,185,185,184,185,185,185,185,184,182,182,181,179,177,178,180,181,181,182,184,185,187,182,196,228,151,135,191,184,186,186,187,186,186,185,185,185,184,183,183,182,178,179,180,182,183,184,184,186,188,181,216,221,134,161,193,187,188,189,189,188,187,187,187,187,186,184,184,183,180,181,183,184,185,185,185,188,184,194,229,196,126,178,192,190,190,190,190,189,188,189,189,188,186,186,185,184,180,182,183,185,186,187,188,189,188,220,225,161,129,194,191,191,191,191,191,191,190,190,190,189,188,187,186,186,181,183,184,186,187,189,190,186,204,229,213,127,151,198,191,191,192,192,192,192,191,191,191,190,190,189,187,187,184,185,186,187,189,190,191,188,215,229,197,112,180,198,192,192,191,193,193,193,193,192,191,191,190,190,190,188,185,185,187,189,190,192,192,195,227,229,182,159,207,175,191,195,193,194,194,195,196,194,192,192,191,191,190,189,185,187,188,190,192,192,187,210,229,227,224,221,194,133,174,199,194,195,196,196,196,195,194,194,192,191,191,191,185,187,190,190,189,192,202,225,229,229,228,185,137,123,161,201,195,196,197,197,196,196,195,194,195,193,192,191,186,188,191,192,210,222,228,228,229,217,203,170,122,120,147,201,195,197,198,198,198,197,196,195,196,196,193,192,187,190,188,211,229,228,228,228,229,194,133,142,125,126,133,198,198,198,199,199,199,198,197,197,196,196,195,193,189,190,193,225,226,223,228,229,220,176,127,125,126,126,130,193,201,199,200,199,199,199,199,198,197,196,196,196,191,189,206,229,226,229,227,209,181,184,146,123,122,127,131,193,201,200,202,200,199,199,199,199,198,197,197,197,193,189,219,229,228,215,187,153,133,192,166,129,116,117,140,200,201,199,201,201,200,200,200,200,200,198,197,197,191,197,228,229,218,175,137,105,90,194,177,126,125,166,194,205,207,207,207,204,203,206,203,200,200,198,198,198,189,210,229,223,201,164,133,96,142,195,134,103,134,200,205,199,188,168,150,142,142,155,194,205,200,201,200,200,192,223,229,219,185,145,118,93,132,140,88,94,90,103,128,130,131,128,125,131,129,118,125,186,205,201,201,201,204,229,228,205,160,124,104,96,94,97,95,98,103,98,106,126,139,149,143,141,134,124,106,134,209,198,200,200,222,229,222,185,149,122,99,95,95,98,104,109,114,117,133,143,144,143,144,150,168,173,153,167,206,199,199,200,228,229,213,172,141,115,93,95,102,115,123,124,127,131,142,138,156,183,200,206,209,209,210,207,202,202,210,168,229,227,199,162,135,111,93,110,124,133,139,139,135,126,139,176,210,211,209,206,205,205,204,205,210,201,163,117,229,218,184,152,129,110,101,127,139,139,138,143,127,159,201,211,207,206,208,207,206,207,206,210,186,133,108,102,226,205,168,143,127,112,106,129,135,136,138,128,157,215,208,207,208,208,208,209,209,208,210,184,124,113,107,99
24,179,182,183,184,185,186,187,187,187,188,188,190,189,190,189,188,189,189,189,187,187,185,184,183,110,19,3,0,183,185,186,187,188,189,190,191,190,191,192,192,191,191,191,192,191,192,191,191,191,189,188,189,101,4,12,14,186,187,189,190,191,193,193,194,194,194,195,195,195,195,195,194,194,195,194,195,193,192,190,197,132,15,24,34,186,190,191,192,194,195,195,196,197,198,197,198,198,199,198,199,200,199,198,198,196,195,192,194,184,42,22,25,189,191,192,195,195,197,199,199,200,200,199,200,200,201,201,201,201,201,200,199,199,198,196,192,201,108,14,12,192,194,195,197,199,199,201,202,201,202,201,202,202,202,203,203,203,204,203,202,201,201,201,197,203,168,23,2,193,196,198,198,199,201,202,202,202,204,203,203,204,205,205,205,207,207,205,205,205,201,202,202,198,206,52,0,194,198,200,199,206,205,202,204,206,207,206,206,207,208,208,207,208,209,207,207,208,205,204,203,201,210,135,109,196,199,200,204,172,200,208,207,207,207,207,208,209,208,209,209,209,209,209,209,208,208,207,206,202,211,142,165,198,200,202,209,135,148,218,205,209,209,209,208,209,210,211,210,211,211,210,209,210,210,209,207,206,211,154,194,200,202,204,205,153,93,205,209,209,210,209,209,210,211,211,211,213,212,213,216,211,211,209,209,208,208,194,165,201,203,206,209,183,91,146,223,208,211,211,211,212,216,214,213,218,222,196,188,217,211,211,211,210,210,216,160,202,204,207,209,198,145,91,201,218,211,214,215,211,201,213,219,179,217,200,114,169,223,212,211,208,198,175,160,203,207,208,208,210,187,110,116,218,215,212,217,220,166,173,228,133,130,217,126,122,225,213,210,212,181,121,96,203,207,208,207,211,201,165,123,148,221,211,218,238,202,156,186,165,109,211,148,127,224,213,215,220,147,90,112,201,205,206,206,208,209,189,157,129,169,215,216,233,238,172,133,199,120,184,165,135,226,205,226,193,92,150,219,202,204,207,208,208,210,204,177,161,179,185,197,189,239,197,116,167,144,170,187,115,174,186,218,139,109,218,207,202,205,208,210,209,211,212,207,208,204,171,159,144,190,212,131,105,154,165,202,101,106,193,181,104,184,217,207,201,204,207,207,208,209,212,214,229,191,159,136,108,120,201,146,76,169,154,218,128,139,190,131,125,222,209,210,209,213,216,216,218,218,221,219,227,225,192,139,116,128,160,167,87,166,167,128,154,178,170,93,158,222,209,211,144,150,152,158,163,168,174,177,181,232,234,204,137,117,149,172,119,129,193,124,223,176,143,103,215,227,219,214,78,79,79,82,83,80,84,86,73,205,247,237,208,129,135,187,175,153,196,217,203,145,126,96,131,127,141,171,91,89,91,92,90,90,91,95,77,155,253,222,234,177,134,148,230,247,251,228,172,133,106,90,119,160,190,216,91,87,88,88,89,92,90,92,89,102,223,219,235,212,159,135,174,244,236,197,161,113,100,208,232,225,221,226,88,87,88,87,88,90,90,91,95,84,148,237,241,223,173,145,148,218,216,178,152,90,135,202,193,215,211,210,87,88,90,87,88,89,89,91,93,91,89,215,220,193,151,131,141,178,187,156,115,85,193,191,159,180,198,199,86,86,87,88,89,90,88,89,90,94,78,173,212,159,151,144,145,162,170,139,90,101,184,208,146,132,168,194,86,86,87,87,89,93,87,87,89,92,80,144,221,186,186,170,157,163,167,127,78,111,177,202,161,118,160,181
13,117,120,125,135,143,148,152,153,157,161,167,169,171,174,177,179,180,181,180,183,184,182,182,182,183,183,182,181,120,123,128,136,144,149,153,155,158,163,168,171,173,176,179,180,182,182,183,185,185,184,184,183,186,187,186,184,123,126,132,140,148,152,154,158,162,166,169,173,176,179,181,182,183,185,185,184,185,186,187,187,188,188,188,186,125,128,135,142,151,154,158,161,164,168,171,174,178,182,182,179,184,178,183,195,194,190,189,190,191,189,188,188,127,130,136,145,151,156,160,164,168,171,173,177,181,183,190,219,216,163,111,157,175,189,197,191,192,192,191,190,129,132,139,147,154,159,163,167,170,173,178,179,183,180,183,208,221,161,86,55,112,115,165,199,191,194,194,193,129,134,141,148,155,160,165,168,171,178,180,187,200,144,120,135,204,167,94,50,127,97,69,199,196,195,194,194,130,134,144,149,157,162,164,171,173,180,167,214,232,187,136,80,153,207,132,54,135,95,68,198,197,197,196,195,130,135,146,152,159,163,168,171,175,198,135,113,217,224,172,88,60,203,140,56,144,110,81,206,197,199,197,197,134,138,145,153,160,165,169,169,211,219,159,83,112,240,192,118,24,83,115,42,180,119,125,211,198,200,199,198,136,140,147,156,161,167,166,206,209,217,194,129,40,196,184,109,31,5,42,43,146,87,152,214,199,202,200,200,137,142,152,159,164,165,189,216,149,187,205,144,34,136,174,93,30,0,55,106,123,89,91,209,204,203,203,202,139,144,155,161,166,168,223,214,158,159,177,116,37,97,172,119,25,42,138,148,113,92,71,155,217,202,206,204,144,149,157,165,166,185,215,180,131,135,155,88,21,59,188,137,33,141,185,153,107,72,80,93,214,205,206,206,145,151,161,170,168,201,228,189,143,109,131,89,16,8,167,115,99,204,179,145,106,77,62,87,216,207,207,208,146,154,166,174,172,206,235,195,161,97,91,79,20,66,177,176,200,192,161,124,98,73,38,145,223,208,211,210,147,157,169,177,174,216,243,207,169,116,84,88,125,184,215,219,210,178,144,111,89,57,57,206,212,211,211,211,150,161,171,180,177,223,246,220,169,140,151,143,162,191,212,206,197,166,131,107,78,34,104,228,208,213,213,213,155,166,176,183,183,225,235,232,184,165,168,133,180,195,206,207,180,149,121,94,68,23,158,227,213,215,214,214,160,171,181,189,189,213,228,237,201,180,170,146,186,210,194,188,158,129,104,84,43,64,224,218,218,217,217,217,163,174,185,193,195,199,230,229,213,188,168,153,175,204,190,160,139,114,99,71,46,193,230,220,221,220,219,219,167,177,187,193,200,196,220,219,214,197,184,168,163,190,183,150,124,100,91,45,161,239,222,224,223,222,219,218,170,180,190,195,202,200,206,227,217,211,204,180,160,180,174,137,98,95,57,113,239,224,227,228,225,222,231,231,172,183,194,200,206,203,197,228,208,202,195,170,152,165,154,123,83,79,67,216,233,228,230,228,227,235,191,119,174,187,198,204,208,208,202,220,177,176,187,173,154,156,139,116,92,52,145,245,230,232,229,232,240,145,33,4,177,188,199,204,210,210,203,229,187,190,201,191,159,142,132,117,92,48,194,236,236,234,245,243,132,24,24,0,177,190,198,204,208,212,198,235,203,205,215,191,165,137,130,115,89,53,214,237,236,240,180,80,15,25,38,0,178,192,200,206,209,216,200,229,225,227,225,193,170,141,128,117,83,55,220,234,246,180,39,13,0,11,36,17
19,172,173,174,175,174,174,174,174,173,173,173,173,172,171,171,170,169,169,168,167,166,166,165,164,163,162,161,160,173,174,174,175,175,175,175,175,175,174,174,173,173,172,171,171,171,170,168,167,167,166,165,164,164,163,161,160,174,175,175,176,177,177,175,175,175,175,175,175,174,173,172,172,171,171,170,168,168,167,167,166,165,163,162,161,175,176,177,178,178,179,173,162,161,172,176,176,175,174,173,173,172,171,170,169,169,168,167,166,165,163,162,162,177,178,178,179,179,188,184,161,139,151,173,177,176,175,174,174,173,172,171,170,170,169,168,167,165,165,164,163,178,179,179,179,179,188,199,179,142,122,156,177,177,176,174,174,174,173,172,171,170,170,169,168,167,166,164,163,180,180,180,181,180,184,201,188,150,109,127,173,178,176,175,175,175,174,172,171,171,171,170,169,168,166,165,164,181,181,181,182,181,184,197,185,148,107,107,164,179,178,177,176,175,175,172,172,172,171,171,170,169,167,165,164,183,182,183,183,188,197,195,176,149,115,109,160,179,180,179,178,177,176,174,173,173,172,171,171,170,168,166,165,183,184,184,187,204,209,189,170,163,154,148,164,169,171,174,177,178,177,176,174,173,173,172,171,171,169,167,166,185,185,185,198,209,191,161,147,158,179,186,182,173,164,158,163,170,174,176,175,174,174,173,172,171,170,168,167,186,186,193,212,210,186,149,123,129,160,184,192,191,183,168,161,159,165,167,170,173,174,174,173,172,170,169,167,187,188,206,217,204,185,162,139,128,138,156,169,177,182,180,180,178,176,164,154,157,164,171,173,172,171,170,168,188,195,213,206,184,168,159,155,157,154,149,146,144,147,157,171,181,187,180,162,149,139,150,166,172,172,170,168,190,208,221,201,170,151,145,144,161,172,167,156,139,120,122,146,160,169,172,167,157,143,141,152,161,171,171,170,199,222,225,200,173,159,154,152,154,162,169,168,153,128,120,142,169,170,165,159,155,152,152,149,150,170,172,171,211,226,217,192,173,169,174,173,165,143,137,152,150,140,130,131,171,183,180,175,169,162,156,154,161,172,172,171,221,223,205,178,159,162,180,185,181,149,125,131,128,131,131,138,174,185,184,183,181,178,174,173,174,174,173,172,225,223,200,168,145,137,157,177,184,169,150,134,122,115,127,159,182,185,185,183,182,180,179,178,176,174,173,171,230,224,195,168,154,147,146,149,150,169,170,147,132,125,154,180,185,185,185,184,182,180,179,178,177,175,173,172,230,217,192,172,164,161,156,146,139,152,157,147,136,149,179,187,186,186,186,184,182,181,180,179,178,177,175,173,223,210,192,177,171,168,159,146,136,135,130,131,153,177,189,188,188,187,186,185,183,182,181,180,179,177,175,173,218,204,187,171,163,163,158,146,136,134,130,150,181,190,190,189,188,187,186,185,184,183,182,181,179,178,176,174,211,197,177,151,134,132,140,142,138,140,152,179,192,192,191,190,188,187,186,186,185,183,182,181,180,179,177,176,197,180,155,127,108,105,136,155,155,165,180,189,191,190,190,188,186,186,185,184,183,182,182,181,182,182,180,176,174,153,129,114,103,104,142,159,159,160,162,162,162,160,160,159,159,159,159,159,163,173,183,186,184,179,174,165,145,130,116,110,105,104,111,113,111,109,109,109,108,107,106,107,107,106,112,132,156,176,181,177,173,176,176,156,126,118,111,108,107,105,103,102,100,98,98,98,97,96,95,95,94,99,133,170,179,177,172,170,164,177,188,161
24,178,178,178,178,178,179,179,179,179,178,178,178,177,176,174,173,172,171,169,168,166,165,164,163,160,158,157,155,180,180,180,181,182,182,181,181,181,181,181,181,180,178,177,177,175,173,172,175,172,168,168,166,164,163,159,157,184,184,185,186,185,185,185,183,184,184,185,184,182,181,180,180,179,178,174,143,166,174,171,169,167,165,162,159,186,186,187,186,187,187,186,188,187,187,187,186,185,184,183,182,182,180,182,112,128,182,171,172,169,168,165,163,189,189,188,189,190,192,194,188,188,188,188,188,187,187,186,185,183,183,188,113,121,185,174,174,171,170,168,166,193,193,192,193,196,168,172,196,191,192,192,191,190,189,188,187,185,188,189,110,125,189,178,177,176,174,171,170,194,194,195,195,195,146,106,191,196,196,195,194,194,192,191,191,187,195,186,103,140,191,179,180,178,175,173,173,196,196,196,196,195,158,97,149,207,195,198,198,196,194,194,193,188,202,181,103,156,192,181,181,179,177,175,174,199,199,198,198,203,178,117,114,210,196,198,199,197,196,195,195,197,202,159,94,173,191,185,183,181,181,178,176,201,201,201,200,203,192,138,90,196,202,199,200,204,201,198,190,193,205,137,90,191,189,188,188,184,183,180,178,202,202,202,201,203,200,166,93,159,213,201,202,178,179,201,169,112,147,132,115,203,189,191,189,185,184,183,180,204,204,204,204,204,205,179,111,112,214,204,187,159,137,152,146,110,88,98,145,204,192,193,191,187,187,185,182,206,206,207,207,206,210,185,136,88,193,204,181,176,149,139,128,153,120,57,171,204,194,194,193,190,189,187,184,208,208,208,208,208,210,195,170,109,145,186,176,185,147,150,149,157,115,68,192,200,197,195,195,193,189,188,186,209,210,210,209,208,209,204,188,125,102,140,150,202,151,112,116,142,136,74,175,207,199,197,196,194,192,190,188,210,211,211,211,211,213,213,192,158,141,125,124,181,157,80,55,163,157,86,121,216,198,200,197,196,195,191,188,212,212,212,212,213,214,213,197,200,155,106,82,159,135,76,49,141,177,133,73,183,205,200,199,199,196,194,191,214,214,214,215,215,214,216,202,193,132,105,86,153,123,67,88,192,193,163,74,132,215,198,200,199,197,194,193,215,216,216,216,217,217,218,209,191,164,154,104,148,147,88,168,205,184,143,69,139,214,199,200,199,197,195,194,216,217,218,218,218,219,220,213,194,191,164,114,131,120,147,217,190,167,128,57,166,214,201,202,201,198,196,195,216,217,218,218,218,217,220,215,186,201,175,145,106,125,207,212,185,155,119,66,189,212,203,203,201,201,199,196,217,217,216,217,218,219,220,217,190,187,178,162,116,135,208,199,177,149,103,74,202,207,203,203,201,200,197,195,218,218,218,219,220,221,219,221,190,177,176,173,137,125,198,198,167,135,85,86,213,205,204,202,201,198,195,193,219,219,220,221,221,222,221,225,197,179,179,175,163,121,185,195,158,118,61,123,222,205,206,204,202,197,199,202,219,219,220,219,219,221,221,223,212,186,185,175,175,110,151,174,127,91,45,169,217,205,206,203,203,211,190,150,225,227,228,228,228,231,230,231,228,191,190,176,160,118,118,142,109,68,64,209,212,209,211,215,201,162,88,48,151,155,161,166,169,173,177,181,184,196,187,165,152,140,109,135,114,50,128,218,204,204,188,141,89,50,42,42,102,103,105,105,102,102,102,97,113,199,193,179,174,150,125,136,100,57,99,114,110,99,75,45,45,49,42,40
13,130,130,133,135,136,137,138,138,139,140,140,140,139,140,140,140,137,136,136,135,135,134,132,129,129,127,125,125,130,131,133,136,138,139,139,140,141,141,143,144,147,141,142,144,144,138,138,137,135,135,134,133,132,129,127,126,132,134,135,137,140,140,141,142,142,143,130,102,110,149,128,99,109,144,139,139,137,136,136,134,133,132,130,128,132,135,136,139,141,141,142,145,143,148,129,97,69,100,108,80,37,114,149,139,139,138,137,135,134,133,132,129,133,136,138,140,141,142,144,146,143,155,151,114,90,40,99,96,46,72,154,140,140,140,139,137,135,133,133,130,134,137,139,141,142,143,145,146,145,148,154,116,84,37,73,90,46,55,152,143,142,140,139,138,137,135,133,132,134,138,140,143,144,145,146,147,151,152,143,114,77,41,47,67,34,47,151,143,143,141,140,139,139,137,135,133,136,139,141,143,145,146,147,146,135,139,129,112,80,53,43,78,36,57,154,143,144,144,142,141,140,139,136,134,137,139,141,144,146,148,148,133,87,66,74,116,115,69,52,86,47,62,158,144,146,145,143,141,140,139,137,136,138,141,143,145,147,148,158,132,87,72,51,114,130,79,43,73,43,26,132,152,146,146,144,143,142,140,139,137,139,141,143,146,146,140,106,111,106,94,56,39,82,47,35,45,43,38,72,156,146,147,145,144,144,141,139,138,140,142,145,143,153,132,74,60,116,98,81,21,0,3,29,48,62,73,42,121,155,145,146,145,144,142,140,139,140,143,143,154,161,115,87,66,89,109,81,55,2,27,33,66,86,85,48,71,160,146,147,146,144,143,141,140,140,144,145,159,122,114,103,87,60,101,89,69,15,38,94,104,90,72,51,57,157,147,146,146,146,144,142,140,140,143,146,161,119,92,99,82,60,74,79,45,13,50,108,117,99,65,37,71,161,148,148,148,146,145,143,140,141,143,150,149,120,80,71,71,44,24,49,39,21,74,117,110,97,64,23,101,163,149,148,147,146,146,143,140,141,144,148,150,141,113,74,46,24,12,46,52,53,123,126,103,88,57,24,132,159,151,149,147,146,146,144,141,143,145,146,149,145,124,98,80,63,60,71,71,116,143,118,94,77,50,40,154,154,152,151,148,147,146,145,142,143,147,147,147,142,129,108,87,68,71,107,137,139,128,108,87,70,36,62,165,153,153,151,148,147,145,144,144,143,147,148,150,131,118,105,85,71,73,99,135,129,116,96,77,62,24,90,167,153,154,152,149,147,146,145,145,143,145,149,151,125,116,107,89,83,77,90,125,128,113,87,64,53,18,125,164,155,153,152,150,147,147,147,145,144,146,148,153,140,116,108,97,88,76,83,118,120,101,73,54,30,42,161,156,155,154,153,151,148,147,147,145,142,146,148,152,153,123,109,100,86,75,72,100,106,86,60,46,14,107,168,156,157,155,153,152,149,149,147,146,143,146,149,152,155,149,116,96,81,75,72,87,100,81,59,37,32,156,159,157,156,155,154,152,150,149,148,146,144,147,150,153,154,154,131,105,87,80,85,86,95,82,57,28,79,170,156,158,157,156,154,152,152,151,148,146,143,146,149,151,152,149,138,114,108,105,102,92,96,78,49,28,120,166,156,156,155,155,154,151,151,149,148,145,142,145,148,152,151,141,146,126,119,113,103,99,88,68,44,33,146,160,156,155,153,153,152,149,148,147,145,144,142,145,147,151,151,138,152,130,120,119,103,90,71,63,35,45,159,157,157,155,154,154,153,151,149,147,145,144
4,241,243,245,245,245,247,248,249,250,250,251,251,251,251,251,252,252,251,250,249,250,251,250,250,251,250,248,247,242,244,245,246,247,250,251,251,252,252,252,252,252,253,253,252,252,252,250,252,251,250,251,251,251,251,251,250,243,245,247,247,247,251,252,252,253,253,252,253,254,255,254,252,252,255,253,252,253,253,253,253,254,253,252,252,246,246,249,251,250,253,253,253,254,254,255,252,251,252,252,255,255,255,254,255,255,255,255,255,255,255,254,253,247,249,250,251,252,253,254,254,255,253,252,255,255,255,255,255,255,255,232,237,255,254,255,255,255,255,255,253,249,250,251,252,253,254,255,255,254,255,255,255,255,255,255,197,241,255,220,172,253,245,228,255,255,255,255,255,252,252,253,253,253,255,255,254,255,255,255,255,186,230,251,181,188,244,184,187,255,244,169,236,255,255,255,255,252,253,255,255,255,255,255,253,255,255,255,255,181,204,255,173,147,255,198,255,255,232,159,234,255,255,255,255,253,254,255,255,255,255,255,254,255,255,255,255,230,172,255,185,171,255,255,255,255,255,180,240,255,255,255,255,254,255,255,255,255,255,255,255,255,255,253,252,209,121,197,255,255,255,255,255,255,255,231,222,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,226,184,144,133,236,234,239,250,222,255,255,255,209,255,255,255,255,255,255,255,255,255,255,255,255,255,255,240,210,199,180,168,171,171,198,195,173,255,255,255,236,213,255,255,255,255,255,255,255,255,255,255,255,255,255,246,205,180,174,183,189,168,200,172,208,255,255,255,252,190,255,255,255,255,255,255,255,255,255,255,255,255,255,251,209,187,178,188,201,208,237,249,255,255,255,255,232,185,234,255,255,255,255,255,255,255,255,255,255,255,255,255,225,193,183,194,218,224,255,255,255,255,255,246,209,179,236,255,255,255,255,255,255,255,255,255,255,255,255,255,243,200,183,193,218,250,255,255,255,255,255,233,196,177,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,218,200,199,230,255,255,255,255,255,255,219,181,193,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,215,222,252,255,255,255,255,255,237,203,170,222,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,234,255,255,255,255,255,253,220,187,167,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,235,255,255,255,255,240,203,174,185,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,238,233,255,255,255,238,224,192,158,228,255,255,255,255,255,255,255,255,239,223,205,192,193,192,178,167,161,165,173,183,210,240,238,230,211,178,161,255,255,255,255,255,255,255,227,202,189,184,178,173,162,150,139,126,117,114,98,93,109,117,131,158,184,154,202,255,255,255,255,255,255,255,206,188,192,186,180,176,162,153,139,128,124,116,100,100,106,101,89,83,97,119,255,255,255,255,255,255,255,255,227,182,187,182,178,172,153,142,134,124,122,110,102,102,108,98,90,90,88,75,161,255,255,255,255,255,255,255,245,185,186,178,178,166,153,139,132,123,119,109,102,102,104,95,87,84,86,89,62,233,255,255,255,255,255,255,255,191,183,181,178,166,149,140,130,121,115,110,102,102,99,92,85,83,85,82,89,255,255,255,255,255,255,255,255,187,181,186,171,160,147,138,127,119,112,109,103,101,97,90,84,81,90,65,185,255,255,255,255,255
16,155,156,157,160,165,168,171,174,177,179,180,182,185,186,187,188,189,191,193,192,193,193,192,192,192,191,191,192,156,157,158,160,165,169,172,174,177,179,180,183,185,187,188,189,190,190,192,193,194,194,193,193,194,193,193,192,156,157,158,160,165,170,173,175,178,179,181,184,184,182,175,168,162,159,159,163,170,182,192,194,194,194,193,194,157,158,158,161,166,170,173,176,179,176,174,169,161,153,142,131,122,118,117,110,103,109,139,171,192,194,195,195,157,157,158,162,166,170,174,174,179,158,153,144,140,140,134,125,117,107,104,103,93,80,80,91,137,189,197,195,156,157,159,164,167,173,185,187,191,164,152,139,131,134,129,122,116,109,100,100,99,84,79,77,81,139,195,196,157,158,160,164,166,178,197,198,194,171,154,134,123,125,124,122,114,112,103,98,95,86,83,81,82,86,166,199,157,158,160,164,166,175,192,200,195,169,148,123,114,114,114,118,114,110,108,101,95,89,85,81,83,78,111,196,157,158,160,164,166,179,192,205,194,165,134,111,99,104,107,112,113,110,113,108,95,91,92,84,78,83,79,162,157,159,161,164,166,180,194,205,187,154,115,96,80,89,106,116,121,118,119,115,97,91,95,82,80,86,77,104,157,159,161,165,169,176,196,204,178,137,102,90,65,54,102,120,133,134,134,122,101,94,98,82,82,87,85,70,158,159,161,165,169,171,196,198,165,124,93,78,50,30,80,113,135,155,153,133,103,96,99,83,82,87,89,79,158,159,160,164,169,172,191,188,150,116,86,72,62,48,70,96,138,164,155,133,103,97,92,83,83,85,89,88,157,158,161,165,169,172,183,172,134,107,78,78,77,73,77,81,151,160,142,127,107,96,86,84,84,86,88,91,155,157,159,163,166,171,178,161,119,89,69,82,82,79,77,96,161,148,135,122,104,87,85,85,85,88,89,91,154,157,159,163,167,174,184,154,104,89,65,78,87,104,134,156,158,136,129,112,88,79,84,87,86,88,88,89,156,157,160,164,167,175,185,147,100,114,107,125,158,182,184,167,140,128,118,97,77,79,84,88,89,89,88,87,156,157,160,164,168,176,189,143,95,157,182,186,191,193,181,158,124,111,104,97,80,81,84,88,92,91,90,89,155,157,160,165,168,176,184,133,99,174,188,190,191,192,181,146,114,95,115,113,89,85,85,88,92,91,92,91,154,156,160,164,167,176,177,115,112,183,188,189,190,192,182,144,104,101,152,134,105,93,88,89,90,91,92,93,154,157,160,163,166,176,168,101,129,185,187,188,191,192,185,149,91,129,183,150,121,102,93,89,90,92,93,95,152,154,158,163,165,183,159,94,150,184,186,187,190,192,184,157,98,148,196,159,135,114,100,93,91,91,92,94,148,151,155,156,156,187,137,98,158,172,175,177,178,179,172,154,113,135,186,159,146,126,111,100,95,94,94,96,113,114,116,117,116,137,108,95,115,118,120,122,124,124,124,121,109,109,122,123,148,136,121,110,104,99,96,97,104,103,104,106,105,106,103,101,104,105,105,105,106,104,105,105,103,102,100,102,137,144,131,118,110,104,100,98,106,107,107,108,108,108,107,107,108,110,111,109,109,109,109,108,109,108,107,104,125,152,139,126,117,111,106,103,107,107,107,108,109,108,106,108,109,109,109,109,108,109,108,108,112,115,114,111,117,153,147,133,124,118,112,108,108,108,107,108,108,108,107,109,108,108,108,108,107,109,108,107,109,108,109,109,110,152,154,143,133,125,115,109
0,148,150,152,154,155,156,157,160,159,157,158,159,158,157,158,157,156,156,156,155,153,152,152,150,149,149,148,147,149,151,154,156,157,157,158,160,159,158,159,161,160,159,159,157,157,157,156,155,154,152,152,152,152,151,149,148,149,152,155,155,157,158,158,161,161,161,161,161,160,160,161,162,161,157,157,161,157,154,153,150,142,150,151,150,151,152,154,156,159,160,161,162,162,162,163,163,165,162,160,147,150,165,152,135,154,157,158,155,103,138,155,150,152,153,156,158,159,160,161,162,165,163,162,153,138,157,148,107,82,121,129,89,83,152,165,150,85,139,156,151,152,155,157,158,159,161,162,159,150,166,165,131,88,82,123,110,86,55,92,105,63,111,167,135,80,146,156,152,154,157,158,161,162,161,163,152,105,99,153,127,98,62,104,119,104,70,87,112,75,102,156,132,72,133,160,152,155,157,159,161,161,163,166,149,126,78,118,141,104,82,102,131,103,75,83,112,75,81,149,123,61,103,165,153,156,158,160,162,161,174,165,159,140,104,89,149,109,82,83,132,101,70,79,108,75,48,118,118,62,71,162,154,157,158,161,160,167,166,149,173,140,112,73,132,110,78,71,129,100,61,61,88,66,47,99,123,64,70,163,155,158,159,161,160,180,178,132,158,136,121,67,104,115,81,61,120,91,52,43,62,52,63,123,115,57,95,167,155,157,160,161,166,176,164,136,137,116,93,52,86,110,72,49,82,63,48,54,65,50,79,124,109,55,121,166,156,158,161,162,167,170,149,121,129,99,60,48,83,77,56,52,68,64,45,62,63,56,105,121,107,58,144,162,157,159,162,163,164,182,179,153,123,85,78,58,81,81,44,45,87,61,50,81,73,80,118,125,92,65,161,160,159,159,162,164,165,182,181,167,141,97,84,61,96,98,51,72,97,100,120,120,114,102,113,102,70,75,169,159,160,160,162,164,166,181,183,171,154,124,98,91,85,89,127,151,146,147,140,124,119,100,82,77,51,89,173,159,161,159,163,165,166,179,183,171,148,129,105,96,107,129,159,150,153,140,132,122,111,95,66,65,43,130,169,160,161,159,161,164,164,175,179,167,151,139,115,101,118,139,154,148,146,135,124,116,101,86,68,43,99,170,161,162,161,159,161,164,166,170,175,166,154,142,122,109,131,135,145,146,137,126,114,104,92,79,47,76,169,164,162,162,161,160,163,165,167,167,173,165,155,142,125,109,120,129,132,144,129,118,107,96,85,59,58,159,168,164,163,163,161,160,163,164,167,166,168,165,153,142,124,107,100,116,122,128,121,110,100,87,64,51,147,171,163,165,164,161,162,161,162,164,166,167,167,168,154,145,124,96,88,102,109,106,103,100,88,61,50,135,173,163,165,165,163,169,156,162,163,166,173,174,164,149,148,137,107,82,88,96,98,89,81,79,58,84,147,174,165,168,169,166,170,117,61,152,154,158,128,149,176,148,139,125,110,101,99,90,90,78,67,47,111,167,164,160,164,157,147,157,105,36,30,93,96,92,19,100,184,158,148,133,126,113,96,78,80,69,52,45,88,88,91,91,74,51,42,48,32,28,25,90,93,67,45,56,126,151,147,137,122,103,84,70,67,58,40,59,83,73,54,36,23,19,24,24,26,22,19,96,92,56,54,48,48,82,117,122,111,88,73,64,57,44,24,42,64,36,25,23,22,17,17,22,27,22,20,96,81,54,53,49,46,37,54,79,79,65,55,48,40,25,8,0,11,25,18,18,20,17,13,15,22,23,22
0,199,199,199,198,199,198,198,197,198,199,198,199,198,198,196,195,195,195,194,193,191,190,191,191,189,188,187,186,200,201,200,200,201,201,201,201,201,200,200,200,200,199,198,197,196,195,194,194,194,193,193,192,189,188,188,187,202,202,201,201,202,201,201,201,201,201,202,202,201,201,199,199,198,197,196,197,196,195,195,194,193,191,190,188,202,202,202,202,201,201,201,201,202,202,203,203,203,202,201,200,200,200,200,199,197,194,191,195,195,193,192,191,203,203,204,203,202,203,202,202,203,203,203,204,203,202,194,179,184,198,181,167,184,183,156,191,195,195,194,193,204,204,205,205,205,204,204,204,205,204,205,205,204,198,169,134,115,143,146,122,119,167,129,165,199,195,195,193,205,205,206,206,206,206,206,205,206,207,205,186,159,161,161,131,101,85,139,122,89,144,140,125,197,197,195,194,207,206,206,206,207,207,206,203,186,177,190,169,124,94,143,139,121,94,143,125,92,125,153,100,148,198,196,196,207,208,208,208,207,206,203,193,158,118,163,162,123,87,131,146,131,95,146,129,90,97,153,119,98,148,198,196,209,208,208,208,208,206,194,186,158,120,147,165,131,99,125,149,126,91,147,132,86,68,148,138,105,93,192,197,209,209,209,209,209,203,183,176,167,139,135,169,133,103,109,148,125,79,121,111,74,72,155,150,99,103,199,199,209,209,210,210,209,198,177,158,165,146,124,161,129,100,92,142,116,58,66,70,54,106,171,145,85,144,204,200,211,211,211,211,209,196,185,149,148,136,102,139,131,103,68,89,77,36,51,62,86,156,171,130,85,183,202,201,211,213,213,211,207,189,170,126,120,99,62,100,121,93,46,37,52,86,127,126,138,170,156,103,110,203,201,201,212,214,213,213,205,188,178,145,112,77,52,60,81,61,42,63,120,163,167,161,143,151,135,73,146,208,203,201,213,214,214,214,205,189,188,164,128,104,90,86,98,102,119,148,172,175,167,161,133,115,100,66,179,206,204,202,213,214,214,214,204,189,194,171,142,122,108,116,140,166,177,184,187,178,160,150,118,86,66,116,205,206,205,203,213,213,213,214,205,185,194,175,149,123,118,128,165,186,191,193,188,169,149,135,100,61,91,192,208,207,205,205,211,212,212,213,208,178,185,175,155,132,126,140,181,193,191,191,178,154,134,114,76,74,181,209,207,206,206,205,211,213,214,214,213,182,181,180,161,147,139,153,184,191,189,180,160,141,120,91,64,158,209,207,207,206,204,203,214,214,214,214,216,192,173,180,173,159,144,156,181,183,181,168,141,122,99,64,126,207,209,208,207,206,205,204,214,214,214,215,215,204,172,178,172,155,140,150,172,168,162,144,121,99,68,97,198,211,209,209,207,207,206,205,214,214,214,215,215,212,179,173,166,148,138,144,161,155,142,123,97,65,79,184,211,211,210,209,208,208,207,206,214,214,214,214,215,212,184,173,159,142,138,140,155,147,126,103,70,73,176,212,212,211,212,209,208,207,207,206,215,215,215,214,216,205,180,173,164,157,154,147,149,142,113,82,59,166,213,213,212,211,212,210,209,208,207,206,202,204,206,206,208,190,177,180,173,169,159,150,144,131,96,62,98,211,215,215,215,214,213,211,211,209,208,207,129,132,134,136,137,155,178,187,180,170,160,150,135,108,84,56,111,177,179,180,183,186,186,186,188,189,190,190,105,105,103,102,101,142,179,188,176,168,159,147,114,96,76,53,81,107,109,108,109,111,111,112,114,116,117,116
6,224,225,225,225,226,226,228,228,228,228,228,227,227,226,226,227,224,224,225,225,222,220,220,221,219,217,216,217,225,227,227,227,227,227,229,229,229,229,229,229,229,228,229,229,227,226,224,225,225,222,222,221,220,220,218,217,226,228,230,229,229,229,229,230,231,231,232,232,232,232,232,231,230,229,226,226,226,225,223,222,219,220,219,216,227,228,230,230,231,231,231,231,233,233,233,232,231,232,233,232,231,230,228,227,227,225,224,224,221,222,221,219,229,230,231,233,233,232,232,232,233,233,232,233,234,234,233,233,232,232,231,231,229,227,227,225,224,224,221,220,232,232,232,234,235,234,233,233,233,233,233,233,234,234,233,233,232,232,231,232,231,230,229,227,226,225,223,222,232,232,234,234,234,234,235,235,234,234,234,234,236,236,235,235,234,233,232,232,230,230,229,227,226,225,225,225,235,235,236,236,236,236,237,236,235,235,237,238,238,239,239,238,236,236,234,233,233,233,231,230,227,223,225,225,236,236,236,237,237,237,238,240,239,239,234,233,237,236,236,234,235,235,237,227,231,225,227,223,221,243,232,223,237,237,238,238,241,243,245,246,243,235,218,201,223,234,237,234,238,233,225,225,228,224,229,222,224,252,212,221,240,241,243,243,244,239,234,235,238,235,229,188,177,210,222,222,219,213,208,206,200,201,199,199,193,192,206,231,242,237,237,237,236,229,228,233,233,233,234,195,152,149,148,165,169,176,180,181,190,198,203,205,209,221,233,229,234,229,229,229,225,220,221,219,213,208,196,172,160,157,139,166,221,230,234,237,239,241,242,239,238,241,239,237,233,226,219,214,213,217,216,210,207,213,212,172,150,154,169,163,188,241,248,240,240,239,237,238,233,211,197,197,231,221,211,209,210,211,213,213,216,229,233,186,149,139,157,169,155,162,231,244,241,241,240,238,179,146,145,143,228,220,209,201,198,202,210,216,221,219,207,187,165,159,154,152,163,151,181,250,242,238,249,204,145,154,150,145,230,224,214,206,201,201,203,206,219,224,193,167,170,175,172,160,153,145,188,246,238,242,238,173,147,144,141,143,226,222,217,211,206,206,204,201,206,221,208,166,140,161,183,182,165,142,220,252,245,240,167,142,132,117,110,99,221,221,220,215,209,208,209,208,218,225,197,168,157,152,158,172,178,155,193,210,181,160,134,131,120,106,98,90,210,223,224,223,215,211,209,207,210,219,201,175,170,174,165,153,160,159,151,146,142,132,125,116,109,101,93,93,141,208,229,220,217,217,210,206,196,195,192,181,189,187,177,173,156,130,126,139,140,132,124,115,105,98,91,88,79,114,200,206,192,189,183,181,181,166,158,142,161,175,185,180,154,119,102,125,127,120,120,120,112,98,89,86,82,76,94,187,213,213,220,226,238,236,150,137,139,159,172,151,148,124,100,103,120,116,112,118,120,102,90,84,73,59,127,223,227,227,230,231,231,235,217,193,184,174,143,119,149,120,96,89,104,111,107,112,120,110,92,84,62,62,142,154,150,152,155,155,157,159,164,165,176,170,124,110,146,120,89,89,97,102,103,107,117,113,93,85,65,61,134,153,149,148,149,149,150,148,145,156,167,158,114,105,137,113,88,88,96,97,98,101,109,111,96,85,66,59,149,159,155,156,156,153,152,155,162,154,135,129,117,100,131,107,89,80,91,93,95,98,103,109,102,88,51,76,162,156,156,156,157,157,157,153,143,131,128,116,114,100,123,104,89,83,85,87,90,94,100,106,103,90
22,218,219,219,218,220,221,220,219,219,221,220,220,219,217,216,213,215,215,213,211,209,208,206,204,202,200,197,194,222,223,223,223,224,225,225,223,223,224,230,225,222,221,223,223,218,218,215,214,214,213,209,207,205,203,201,198,226,226,227,228,228,228,227,227,227,229,193,220,229,225,212,200,224,221,219,219,216,215,213,210,212,210,204,202,229,230,231,231,232,232,232,231,230,228,163,179,238,229,226,145,211,228,223,222,221,219,215,218,181,192,211,205,232,233,234,235,234,235,235,235,232,226,187,143,238,230,235,145,185,236,224,225,224,221,219,228,153,145,221,205,235,235,238,239,236,237,239,237,235,234,209,126,224,235,236,144,160,242,227,228,225,222,227,222,133,157,224,211,238,239,241,242,241,241,242,241,241,235,212,120,203,245,239,152,149,242,230,231,229,225,233,202,120,183,225,213,242,243,242,243,243,244,244,243,244,240,225,149,171,253,244,166,138,242,233,235,231,229,240,178,118,214,220,216,245,244,244,246,246,247,246,244,245,245,238,177,142,252,246,155,125,240,237,236,232,238,232,158,138,233,221,219,248,247,247,248,249,248,249,248,249,249,244,191,114,241,250,150,123,237,241,238,234,236,207,123,179,236,223,223,249,250,250,250,251,250,249,250,251,251,243,212,119,199,255,167,127,234,246,239,237,226,175,108,224,231,225,224,251,251,251,251,252,251,251,251,251,254,236,220,170,139,249,174,123,232,251,242,245,231,146,148,246,229,229,227,253,253,253,253,253,253,253,253,253,255,247,226,201,157,212,177,142,202,253,247,239,210,123,204,245,232,233,232,255,255,255,255,255,255,255,255,255,255,255,232,229,242,235,212,220,147,152,231,230,168,126,242,238,235,233,231,255,255,255,255,255,255,255,255,255,255,255,244,232,214,201,204,217,154,107,120,162,118,171,255,237,237,236,232,255,255,255,255,255,255,255,255,255,255,255,255,245,183,92,134,207,176,142,129,130,85,215,252,242,241,237,234,255,255,255,255,255,255,255,255,255,255,255,255,232,159,105,77,152,184,161,154,150,79,222,254,244,243,241,238,255,255,255,255,255,255,255,255,255,255,255,252,230,194,144,91,86,97,133,155,126,71,176,255,244,245,241,239,255,255,255,255,255,255,255,255,255,255,255,246,234,203,136,95,103,105,137,195,160,101,109,255,245,245,242,241,255,255,255,255,255,255,255,255,255,255,255,244,234,189,138,109,110,145,222,233,201,146,72,191,255,244,244,242,255,255,255,255,255,255,255,255,255,255,255,247,237,207,158,115,117,185,248,255,228,188,84,146,255,243,245,243,255,255,255,255,255,255,255,255,255,255,255,244,235,215,167,115,128,210,254,249,223,171,77,164,255,241,243,242,255,255,255,255,255,255,255,255,255,255,255,239,227,232,173,123,141,231,255,230,191,145,66,206,255,242,243,239,255,255,255,255,255,255,255,255,255,255,255,235,221,226,177,127,139,242,241,208,164,129,84,239,252,245,246,251,255,255,255,255,255,255,255,255,255,255,255,233,215,213,177,124,127,224,222,202,153,106,104,253,250,255,245,179,255,255,255,255,255,255,255,255,255,255,255,251,213,214,176,132,129,216,218,188,134,74,147,255,245,190,118,61,184,189,194,202,206,211,216,218,222,229,236,233,214,205,174,151,125,202,210,164,111,67,183,192,109,64,61,58,129,128,129,131,129,127,129,127,126,130,128,143,221,206,173,154,117,161,169,120,83,65,84,68,44,57,69,50
10,118,124,128,130,136,142,148,152,156,159,162,165,168,170,172,174,176,177,178,179,178,179,180,181,180,180,179,178,120,126,130,133,138,144,150,155,158,161,164,167,170,171,174,177,179,180,179,187,191,167,182,183,183,182,182,181,121,128,131,133,140,146,152,157,160,163,165,169,172,173,177,179,180,180,179,204,206,150,179,185,185,185,184,183,122,128,131,135,142,148,153,157,161,164,167,170,174,176,179,182,183,183,182,212,214,150,175,187,187,187,186,186,124,130,133,136,143,150,155,159,163,166,169,172,176,179,181,184,185,186,185,209,226,162,171,190,189,189,189,188,125,132,134,138,145,151,156,160,164,168,171,175,178,180,182,184,186,188,188,207,241,182,163,193,192,192,191,191,127,133,136,140,147,153,158,163,168,171,174,178,180,182,184,186,188,189,189,206,246,197,154,193,194,194,193,194,129,135,137,142,149,155,160,165,170,173,176,180,182,184,186,188,189,192,192,203,246,205,149,193,196,195,195,195,130,136,138,143,150,157,162,167,171,174,177,181,183,185,197,195,165,189,194,203,246,208,146,190,198,197,197,197,132,138,141,145,152,158,163,167,172,181,179,175,180,185,209,206,145,158,196,206,246,213,146,186,201,200,200,200,134,139,142,146,154,160,164,169,173,203,173,132,129,140,177,208,187,162,181,209,241,209,149,176,203,202,202,202,134,139,143,148,156,162,166,171,176,187,157,121,114,118,127,188,225,190,148,204,220,202,157,164,205,203,203,204,135,141,144,150,157,163,168,173,177,181,171,153,142,136,128,145,210,198,143,165,179,183,160,155,206,206,206,205,137,142,146,152,159,165,171,175,180,183,187,187,209,197,124,113,193,220,173,123,126,146,150,139,200,207,207,207,139,143,148,153,160,167,172,177,182,185,188,202,242,201,108,96,157,235,200,137,106,122,135,126,189,210,208,208,139,144,149,154,161,167,173,178,183,187,188,227,253,200,117,107,118,231,222,169,118,111,130,125,182,211,209,209,141,145,149,155,162,169,174,179,185,189,190,223,246,223,136,90,126,226,236,191,136,108,125,125,184,215,212,212,142,147,149,156,164,170,176,180,186,189,192,203,233,236,167,122,148,227,236,192,141,113,119,122,189,217,214,213,143,147,151,158,165,172,177,182,187,190,193,196,216,219,170,153,165,234,232,203,157,122,117,119,193,217,215,216,144,149,152,159,167,172,178,183,188,192,195,198,200,216,209,182,195,244,232,211,175,135,118,117,198,218,217,217,146,150,153,160,167,173,179,184,189,193,197,200,202,230,248,224,225,251,234,207,179,145,122,116,200,218,218,218,146,149,153,160,167,173,179,184,189,193,197,201,203,224,254,241,241,251,234,206,180,152,128,118,201,220,220,220,145,149,152,159,167,173,178,183,188,192,197,200,202,215,252,251,245,249,232,206,178,159,134,119,202,220,219,219,146,150,153,161,169,175,180,185,189,194,198,201,204,213,250,254,251,250,230,207,184,164,138,117,202,220,220,220,146,150,154,161,169,175,181,186,191,195,199,202,205,209,242,255,253,248,228,213,191,163,135,119,208,221,222,222,147,150,155,163,171,176,182,187,191,196,199,203,206,208,232,253,245,240,225,222,200,160,129,125,216,222,223,224,146,151,155,162,170,175,182,188,193,197,201,204,207,209,219,245,233,230,227,224,208,161,122,124,211,223,224,224,143,148,153,160,168,174,180,187,192,196,200,203,206,176,130,208,227,236,235,224,212,159,116,81,97,185,226,224
1,46,68,69,74,80,96,115,127,131,138,144,147,151,160,160,164,163,165,167,167,168,170,171,171,171,171,172,170,54,68,70,76,81,100,119,131,136,142,149,150,163,183,121,160,170,170,170,171,171,171,172,172,171,172,172,171,61,69,72,77,83,103,122,134,140,147,154,155,175,195,101,120,131,162,180,176,176,176,176,175,174,174,173,173,67,69,74,78,84,106,127,138,144,148,185,155,144,201,103,111,124,121,191,180,183,183,182,181,178,177,177,176,70,70,75,79,87,110,129,139,147,150,201,159,113,194,102,104,142,91,183,189,188,187,187,186,184,183,182,181,70,71,77,81,91,114,133,143,150,154,201,169,104,176,107,99,143,83,168,200,192,194,193,191,190,189,187,186,72,72,77,81,94,118,137,145,153,157,204,170,90,164,127,105,153,96,153,208,197,198,199,197,195,194,193,192,73,74,78,81,98,123,140,147,161,174,179,175,89,131,121,100,159,104,140,215,201,203,203,202,200,200,199,198,74,74,80,83,101,127,144,146,178,177,156,176,91,114,123,86,151,108,133,218,206,208,208,206,205,205,203,201,76,76,81,83,103,130,148,147,201,171,137,174,91,129,139,88,172,136,130,219,210,211,211,210,210,209,207,206,76,78,83,85,107,132,151,152,205,155,125,191,104,119,136,90,171,151,122,220,215,215,215,214,212,212,211,210,76,78,82,86,111,136,154,156,206,151,109,184,111,89,120,99,163,151,108,217,219,219,218,216,215,215,216,214,76,78,81,87,114,139,156,161,211,155,90,160,102,80,112,117,178,151,104,213,224,222,222,221,220,219,219,219,78,79,81,89,117,142,159,164,216,171,83,145,148,139,133,153,182,125,90,200,230,224,224,224,224,224,223,223,78,79,81,91,121,145,163,166,214,170,93,155,196,154,137,147,148,122,78,171,238,224,227,227,225,225,226,223,77,79,81,93,123,149,166,170,214,180,143,148,121,136,127,126,117,130,112,136,238,227,230,230,228,226,228,235,77,80,82,95,127,153,168,173,227,199,148,127,104,127,129,141,130,156,156,116,175,243,229,230,236,242,232,196,76,80,82,98,131,156,169,178,236,197,144,115,111,131,138,201,190,171,193,160,101,201,241,241,214,159,96,55,77,80,82,100,134,160,171,182,236,194,134,111,118,138,171,221,231,182,207,163,89,148,245,137,65,46,41,46,76,79,81,103,136,161,173,181,232,200,135,113,127,147,187,218,238,224,182,125,85,138,125,51,43,39,52,38,74,77,79,103,137,162,173,180,224,206,145,113,132,157,198,226,234,215,167,115,93,71,40,61,59,23,48,48,75,77,79,105,140,165,175,181,219,213,167,120,134,160,200,233,226,197,158,116,89,62,44,34,63,30,24,53,69,72,75,105,141,167,178,183,213,214,185,133,135,159,200,233,211,182,147,111,86,60,50,21,44,50,14,35,87,84,85,110,145,169,180,187,207,209,193,147,138,152,200,220,201,176,136,103,81,61,41,27,22,53,24,18,121,120,121,120,121,129,135,139,149,199,197,156,152,147,188,205,193,165,126,98,74,56,48,26,15,41,38,8,115,115,116,117,117,119,119,122,116,170,203,167,156,146,165,192,178,149,113,90,68,34,51,31,9,33,48,14,117,117,120,121,123,124,125,127,125,135,190,171,156,149,142,169,158,130,99,79,68,37,39,32,11,22,49,30,116,118,118,120,121,123,124,126,128,123,169,182,160,154,135,143,148,119,89,68,70,50,24,10,21,15,44,43
4,181,181,183,183,183,182,181,181,180,181,181,179,179,178,179,177,175,175,174,173,171,172,171,170,171,169,167,165,184,183,184,184,185,183,181,181,181,182,180,179,180,178,178,179,178,178,175,175,174,173,172,171,170,170,169,167,185,186,186,186,185,184,184,184,184,182,181,181,179,178,179,180,177,177,178,174,173,174,173,171,170,170,171,169,186,187,186,188,187,186,186,186,185,186,184,183,183,185,182,180,182,179,176,175,175,175,174,172,172,172,172,170,189,188,188,188,188,187,186,184,180,171,177,185,159,151,176,177,162,163,182,177,178,174,173,174,172,173,172,171,190,190,189,190,189,188,190,196,167,149,105,126,154,106,83,150,146,91,114,191,180,181,175,176,174,174,173,171,191,191,190,190,190,185,202,208,175,139,84,60,140,105,49,114,140,89,52,96,117,137,179,176,176,175,173,172,192,193,193,192,187,196,208,180,186,119,69,65,134,89,43,110,131,80,60,27,60,54,105,183,174,175,173,173,193,193,193,194,189,198,207,167,183,121,106,61,141,131,39,99,162,111,61,31,59,49,63,184,174,176,176,173,194,193,194,195,192,197,197,146,171,172,147,64,172,167,41,98,212,136,63,37,104,80,86,186,175,178,178,175,194,194,195,195,190,205,222,187,152,163,111,64,173,141,34,85,197,125,61,69,140,130,79,172,181,178,178,176,195,194,194,196,193,216,207,179,149,115,74,45,86,69,86,172,135,125,135,123,132,123,69,112,192,177,179,176,196,196,199,197,198,211,186,157,124,100,88,73,49,37,104,200,145,135,154,141,136,119,103,73,168,184,177,178,196,196,199,194,203,229,206,179,150,97,70,63,59,63,56,136,147,129,145,135,114,148,143,78,118,192,176,179,197,197,199,197,207,229,206,187,143,91,77,66,57,59,65,90,100,112,133,76,115,174,157,109,71,186,180,179,200,200,202,198,215,228,209,189,135,88,88,69,60,66,85,99,109,138,154,134,129,172,168,117,52,155,189,180,200,201,201,198,217,226,210,166,131,102,87,73,56,94,137,166,177,181,169,178,145,124,137,105,51,113,194,178,201,202,202,199,215,226,205,165,143,95,81,92,128,174,187,187,176,174,156,141,148,102,98,90,61,82,193,178,202,203,202,202,219,223,201,170,150,118,116,147,174,191,183,182,171,160,147,129,129,103,87,86,67,63,191,181,202,202,204,199,204,222,205,178,166,132,133,167,165,197,181,174,164,156,142,124,112,96,80,80,41,97,195,181,204,205,209,106,76,106,159,193,162,134,123,160,159,173,170,162,164,145,118,107,100,79,66,41,67,185,186,184,203,216,174,53,59,47,53,71,71,67,78,121,143,156,159,156,147,124,102,97,80,64,35,51,176,192,187,187,206,215,104,55,55,55,55,16,0,24,22,28,53,84,114,146,135,116,97,78,61,31,48,173,194,186,189,188,221,163,52,60,51,50,53,41,0,14,23,19,16,11,18,48,77,85,70,50,22,61,178,198,189,191,190,189,212,89,52,51,42,42,49,47,0,0,17,19,16,14,11,5,7,24,24,14,90,191,198,191,193,192,191,190,144,52,61,43,37,43,48,37,0,0,12,15,11,8,12,11,10,9,0,71,218,194,193,194,192,193,193,190,71,55,33,68,67,19,56,15,0,0,12,11,6,8,8,6,10,2,0,0,160,208,194,195,195,194,193,191,53,45,30,60,92,35,40,0,0,4,6,5,2,4,5,7,8,0,0,0,94,217,193,198,194,193,193,193
5,126,131,135,138,143,148,152,156,158,161,161,161,166,167,168,169,170,170,169,169,168,168,167,167,166,165,164,163,127,132,136,139,144,150,154,157,158,169,165,137,166,169,170,170,171,171,171,171,170,169,168,168,167,166,166,165,128,134,137,141,146,151,156,158,159,186,159,127,166,171,171,171,172,172,172,172,171,170,170,170,169,167,167,166,129,135,138,141,147,152,156,158,167,199,132,139,170,172,172,173,173,173,172,172,173,166,169,171,170,169,168,167,130,136,139,142,147,153,158,159,188,200,119,156,172,173,174,175,174,173,176,184,187,137,156,173,171,170,168,168,131,137,139,154,151,149,159,159,205,192,124,165,174,174,175,177,175,183,203,187,156,129,162,174,172,171,170,169,132,138,138,180,157,127,161,163,216,178,128,170,175,176,177,177,189,216,191,136,134,164,174,174,174,173,171,170,133,139,139,187,152,123,162,169,221,165,128,174,177,177,178,190,215,196,145,129,167,178,177,175,174,174,172,172,134,141,143,199,145,128,163,177,220,156,123,175,177,178,189,211,185,139,135,170,181,179,178,177,176,175,174,172,136,141,145,199,152,124,164,181,214,163,118,170,179,183,207,193,131,125,170,182,181,179,179,178,177,177,175,174,136,143,144,192,173,120,160,176,211,164,112,164,182,188,195,155,118,157,184,182,182,182,181,179,179,178,177,176,138,144,145,178,193,127,136,168,203,164,104,146,173,167,151,126,138,179,183,184,186,184,182,180,173,175,179,177,139,144,146,166,199,165,146,141,180,178,124,109,124,128,118,125,167,178,201,205,204,202,194,178,136,148,182,178,141,145,148,157,177,185,178,160,160,168,130,106,106,111,114,139,159,181,176,169,182,195,182,164,135,119,165,181,141,146,149,155,161,170,185,198,201,179,134,103,101,105,121,129,132,144,124,124,187,196,162,139,126,123,163,182,141,146,148,155,162,165,172,205,224,201,147,104,101,102,112,119,113,106,133,176,205,167,127,138,167,178,183,182,143,147,150,156,163,169,172,191,222,214,161,110,98,97,102,108,99,134,187,191,186,132,122,178,188,186,185,184,144,148,151,158,164,170,174,179,212,224,183,126,98,95,94,93,90,138,170,179,180,127,147,191,188,187,187,185,145,149,152,159,165,170,175,177,205,229,199,147,104,92,91,99,111,137,151,170,170,124,164,192,190,188,187,186,144,149,152,159,164,168,174,177,193,233,214,171,119,93,92,101,116,145,160,158,156,121,171,193,190,189,188,186,144,148,151,157,164,169,174,177,189,235,226,191,139,99,94,102,126,156,160,140,130,115,176,192,191,188,187,186,144,148,151,158,165,171,176,178,189,234,228,202,157,110,94,107,138,160,153,124,113,136,189,193,192,189,188,187,145,150,151,159,165,171,176,178,187,228,230,207,174,126,100,103,140,155,145,115,115,179,195,194,192,190,189,188,144,150,152,158,165,171,175,179,184,217,230,211,186,146,114,101,130,146,132,110,128,193,195,194,193,191,189,188,142,147,151,158,164,171,176,181,183,210,227,221,199,168,129,107,112,131,121,109,155,197,195,194,194,191,190,190,134,137,141,145,147,151,154,157,157,201,232,231,207,174,135,114,108,119,111,111,150,161,158,158,158,157,157,155,106,107,107,109,107,106,107,109,105,186,239,231,203,163,131,117,109,111,110,104,101,100,98,98,98,97,102,141,109,109,109,109,109,108,109,111,107,181,234,222,185,140,121,113,110,112,108,103,101,101,100,99,97,108,171,207
7,102,109,113,113,117,122,126,129,131,132,134,136,137,139,141,142,142,143,143,143,143,143,143,143,141,142,141,140,103,109,113,114,118,122,127,130,132,134,135,137,139,141,141,142,143,145,145,145,145,145,146,144,143,143,142,141,104,110,114,115,119,123,127,130,133,135,136,138,140,141,142,143,145,146,146,146,146,145,146,145,145,145,143,142,105,110,113,115,119,124,127,130,134,135,137,139,140,143,144,145,146,146,147,147,146,147,147,147,146,146,145,144,106,111,114,116,120,125,128,130,133,136,138,140,142,144,145,146,146,147,147,147,148,148,148,147,148,147,146,145,107,113,116,118,121,125,128,132,134,136,139,141,143,145,146,147,147,149,149,148,148,148,148,148,148,147,147,145,108,113,117,119,122,127,130,133,135,138,142,143,145,147,148,150,149,150,150,151,150,149,149,149,149,148,148,146,108,114,117,119,124,126,128,134,135,138,140,141,141,146,147,147,149,151,151,151,153,151,150,150,150,149,149,148,107,115,119,119,120,131,149,150,141,144,151,151,151,148,141,137,145,141,143,143,146,152,153,152,151,151,151,150,109,115,115,121,144,162,165,157,139,133,145,154,157,154,139,140,156,144,134,127,116,136,143,151,152,152,151,152,107,115,137,160,165,162,164,155,133,126,134,143,147,146,128,128,142,133,127,122,114,126,114,153,157,153,152,152,128,157,167,164,161,163,162,145,128,127,138,156,159,163,149,145,141,135,145,138,126,121,125,135,142,154,154,153,168,168,164,170,164,164,167,155,111,101,107,125,130,132,136,140,139,140,145,148,140,136,139,125,135,133,151,153,170,170,169,170,166,170,175,149,100,84,91,81,69,85,102,111,114,115,115,119,121,121,123,118,128,120,153,155,173,170,169,170,169,170,167,122,90,86,87,89,71,53,67,144,147,149,147,144,140,135,135,132,132,146,155,154,169,168,166,168,167,169,159,116,79,81,96,97,93,76,75,156,157,157,158,159,159,159,160,159,158,156,155,154,173,172,171,173,174,178,163,108,78,67,61,92,110,89,70,135,160,155,157,156,156,155,155,155,154,155,155,154,171,170,167,162,164,164,132,101,80,80,57,65,91,91,88,143,159,156,157,158,158,157,157,157,156,156,156,155,161,159,150,143,148,137,112,99,92,82,78,71,97,119,138,156,156,157,158,158,159,159,159,158,157,157,156,156,148,141,137,134,136,118,95,90,87,89,76,75,143,158,156,155,156,157,158,158,159,160,158,158,158,158,157,156,127,127,120,108,100,99,112,120,103,101,102,120,153,151,153,156,157,158,158,159,158,159,159,158,158,158,157,156,102,100,92,93,107,127,138,143,145,144,149,151,151,153,154,156,157,158,158,158,158,158,159,158,156,156,156,156,82,77,78,96,104,100,99,100,100,100,100,100,100,102,103,102,102,104,104,102,101,100,100,99,97,97,97,95,64,78,83,80,83,82,80,78,78,79,78,79,80,80,79,77,76,77,78,79,80,79,79,78,75,75,75,74,77,83,87,87,87,88,87,87,88,88,89,87,87,87,86,89,90,86,85,85,85,85,85,83,80,82,82,75,80,82,87,87,87,88,86,85,86,86,86,85,85,85,84,89,90,88,89,85,83,82,82,82,83,80,75,105,81,79,87,88,88,87,87,86,87,87,87,86,87,86,86,85,84,84,86,84,83,82,82,84,79,87,133,154,79,74,84,89,89,89,89,88,88,89,88,88,88,88,88,86,85,85,85,84,85,83,82,81,83,150,145,129
5,158,158,158,159,159,160,159,159,158,158,157,157,157,155,154,154,152,150,149,148,147,146,145,143,142,142,141,140,162,162,162,162,162,162,162,162,162,160,159,159,158,158,157,156,154,152,151,150,149,148,147,145,143,143,142,141,166,166,166,165,165,166,166,166,165,165,163,163,162,161,159,159,151,150,154,153,151,151,149,147,146,144,143,141,169,169,169,169,168,168,169,169,168,168,167,166,164,161,159,155,129,138,157,156,154,153,151,150,148,146,145,143,172,172,173,173,173,162,164,173,172,171,170,170,167,155,140,122,113,143,160,159,158,157,155,153,151,149,148,146,176,176,177,178,179,143,146,175,176,174,174,175,158,128,118,129,147,161,163,162,161,160,158,156,154,152,150,148,180,180,181,181,175,128,142,178,178,172,171,159,127,121,146,160,163,163,160,160,163,162,160,159,157,155,153,151,184,183,183,183,166,125,154,182,175,157,142,122,122,132,128,130,133,134,134,134,146,157,158,161,160,158,156,155,187,187,187,184,159,127,165,186,170,137,109,113,140,113,97,102,114,123,124,125,129,138,136,156,163,161,159,158,190,190,190,187,165,127,158,186,165,127,102,111,123,100,90,87,92,94,92,98,103,108,124,157,165,163,161,160,193,193,193,190,169,126,146,184,159,121,97,96,103,96,79,68,66,66,69,76,83,95,130,157,166,166,164,162,195,196,196,192,167,129,127,166,150,113,86,80,85,79,67,67,71,76,89,97,112,122,124,127,153,167,166,165,197,198,199,195,170,140,131,136,128,110,90,76,70,61,63,74,80,106,132,142,150,141,132,125,132,161,169,167,200,200,201,201,189,161,148,139,123,113,95,75,67,62,64,81,117,165,181,181,174,159,155,142,132,163,171,170,202,202,202,203,201,186,164,162,152,126,93,69,63,65,75,127,173,188,189,182,163,158,151,130,147,172,173,172,204,204,204,205,205,202,184,174,168,141,103,68,61,63,98,173,193,193,189,170,149,149,130,128,167,178,176,174,205,205,206,207,207,207,198,179,176,153,113,73,63,67,101,157,179,188,177,157,144,130,111,148,180,181,179,177,206,207,207,208,209,209,203,184,182,161,122,81,67,76,87,110,132,148,147,144,131,111,132,175,184,183,181,179,208,208,209,209,209,210,204,185,186,168,128,90,71,78,86,100,117,118,122,127,114,133,175,187,186,184,182,180,209,209,210,210,210,211,206,185,188,170,132,100,75,75,86,100,116,115,102,103,126,174,191,190,187,185,183,181,212,211,212,213,212,212,207,187,189,171,137,109,80,73,87,102,111,103,86,106,166,193,194,192,189,187,185,183,214,213,214,214,214,214,208,188,186,168,140,113,82,71,87,99,100,87,95,157,194,198,196,194,192,189,187,185,215,215,215,215,215,216,209,187,179,163,139,113,83,70,83,90,85,79,132,193,201,199,197,196,194,191,188,186,216,216,216,216,217,217,209,186,176,161,137,113,83,70,79,81,76,101,176,203,203,201,199,198,196,192,190,188,217,217,217,217,218,218,207,187,177,161,137,110,82,69,72,72,90,155,201,206,204,202,201,199,196,193,191,189,217,218,218,218,219,218,205,190,180,163,138,105,76,65,68,92,152,199,208,207,205,203,201,200,197,195,193,191,217,217,218,219,219,215,201,188,179,163,133,95,70,67,107,168,203,211,209,208,206,204,202,200,198,196,194,192,217,217,217,218,218,211,193,178,173,157,124,86,68,83,165,207,211,211,209,207,206,204,202,200,199,196,194,193
16,109,115,118,119,123,128,132,135,138,141,146,147,150,151,153,155,156,158,159,161,162,163,164,165,166,165,165,166,110,116,119,120,124,128,133,136,139,142,146,148,151,154,154,156,158,159,161,163,164,165,166,167,166,166,166,168,113,118,119,121,124,129,134,137,140,144,147,150,153,155,156,158,159,161,162,164,166,166,167,168,168,168,169,169,112,118,120,122,126,130,135,139,142,146,149,151,154,156,159,160,161,162,164,165,166,167,168,168,170,170,171,171,114,119,121,123,128,132,136,141,143,147,150,150,154,158,158,160,162,163,166,167,167,167,169,169,170,172,172,172,116,121,123,124,129,133,137,142,145,149,149,158,157,156,168,159,159,169,166,166,168,168,170,171,172,173,173,173,118,122,124,126,130,135,139,144,147,147,159,197,179,189,195,165,140,142,168,174,171,170,171,173,173,174,175,175,118,124,124,127,132,135,140,145,140,181,200,204,202,205,192,166,142,112,106,140,168,177,173,173,174,176,177,176,119,124,125,127,132,137,141,142,164,205,204,206,203,193,179,156,122,111,92,88,102,138,175,176,174,177,177,177,121,125,126,128,134,140,138,165,207,203,204,204,191,175,162,133,110,115,94,98,90,86,114,174,179,177,179,179,120,124,127,129,134,141,136,182,203,203,205,197,177,152,130,106,108,106,97,105,95,93,83,103,176,180,178,179,120,124,126,129,135,142,139,191,205,204,193,179,160,125,102,101,88,106,104,110,100,94,92,82,109,191,181,179,122,126,128,131,136,143,141,196,207,196,168,152,124,102,93,68,52,111,106,108,102,97,91,92,83,123,175,183,123,128,129,133,137,144,140,192,207,196,168,127,94,78,38,17,51,107,105,111,101,95,92,95,84,22,82,194,124,129,129,133,138,145,140,184,207,199,165,107,85,49,8,11,51,107,113,117,99,93,94,93,47,16,95,199,125,129,130,133,138,144,142,169,207,196,147,93,70,44,21,37,52,88,130,112,98,92,95,56,26,15,138,198,125,129,131,133,139,145,146,158,207,184,126,86,79,80,58,67,66,98,151,94,95,96,65,15,31,18,166,192,126,130,131,134,139,145,146,160,203,159,102,94,98,89,83,77,69,158,141,91,97,63,5,20,26,29,183,188,127,131,131,134,141,147,145,175,202,136,101,105,98,96,99,68,128,180,126,98,67,12,17,32,13,46,193,187,128,131,131,136,142,149,144,180,201,114,127,91,56,74,75,82,193,177,124,87,40,24,31,22,9,71,202,186,129,131,132,136,142,149,143,191,185,91,149,87,65,72,56,98,207,186,140,64,37,28,19,21,8,117,202,186,127,130,132,136,142,146,154,202,128,106,162,86,84,90,74,88,198,187,150,53,29,23,17,24,11,140,200,187,127,129,131,135,143,144,158,151,111,160,149,86,93,95,93,78,157,189,152,58,17,20,21,27,14,135,201,187,128,131,132,136,143,148,150,151,158,169,139,89,99,100,99,78,69,130,102,28,15,20,23,28,17,141,201,187,128,131,132,136,143,148,152,156,157,169,132,92,97,97,79,47,23,21,22,19,23,23,24,27,17,147,201,188,129,131,133,137,143,148,152,157,159,169,125,87,89,82,48,24,26,29,29,30,28,28,24,27,13,101,207,187,129,132,133,137,144,148,154,158,160,170,131,92,80,65,37,31,38,40,41,40,35,31,26,29,13,104,206,188,129,132,135,137,144,149,154,157,162,163,115,95,83,69,49,42,48,47,47,44,38,34,29,31,12,125,206,190
4,173,174,174,175,176,174,174,174,175,173,172,173,173,172,170,171,170,169,168,167,167,166,166,164,163,162,161,160,175,176,176,177,177,178,177,176,176,175,175,176,173,174,176,170,159,159,166,169,169,168,167,166,165,164,163,162,177,178,179,179,180,180,179,177,177,178,184,184,166,150,176,197,171,133,118,170,170,169,167,167,167,165,164,163,180,180,181,181,181,181,180,182,182,153,177,190,169,118,98,167,163,118,79,124,146,154,168,169,168,166,166,165,181,181,182,183,182,181,194,202,172,129,97,169,149,103,73,127,137,99,74,66,104,104,117,170,168,167,167,167,182,183,182,184,183,184,218,210,163,126,79,152,140,103,64,104,124,97,71,67,97,85,70,164,171,170,168,168,184,184,183,185,185,191,215,207,172,177,99,126,163,142,66,88,146,127,79,81,106,83,67,162,172,172,170,169,184,185,185,186,187,191,219,192,192,197,119,98,183,145,68,73,154,133,76,91,145,112,83,165,174,173,171,170,185,187,187,188,188,189,220,202,186,158,104,80,139,118,73,73,113,113,54,88,168,128,101,172,175,174,172,172,187,188,188,189,188,194,231,220,195,165,128,108,87,81,83,99,146,148,89,80,133,109,130,177,177,174,174,173,189,189,190,191,189,209,233,212,180,161,141,132,118,128,137,154,179,145,109,85,82,66,156,179,179,176,175,174,190,191,191,193,190,221,223,191,158,140,142,194,171,171,187,164,171,138,125,95,81,74,168,179,180,178,177,176,191,193,193,194,192,229,224,193,165,142,136,188,172,174,182,168,157,155,145,109,73,69,165,180,178,179,178,176,192,195,195,195,198,237,225,197,168,141,122,138,144,142,155,141,135,177,168,125,82,66,160,182,181,180,179,178,195,196,196,195,206,237,221,198,165,131,116,107,92,98,133,109,123,182,182,133,95,69,150,184,183,181,180,179,197,198,197,197,214,236,221,197,155,129,128,117,105,129,189,183,154,187,188,137,104,72,141,184,183,181,180,179,198,199,199,197,219,235,221,193,155,135,136,124,114,190,215,202,186,171,182,139,113,82,125,186,185,183,182,181,199,200,201,199,224,234,213,175,154,150,137,117,167,220,222,206,183,171,148,132,109,85,136,187,186,185,182,181,201,201,202,200,228,229,202,173,176,148,131,130,213,229,221,200,173,154,137,112,97,79,168,187,186,185,183,182,202,202,202,202,232,226,200,185,180,145,123,174,226,224,208,189,165,142,126,101,85,90,184,188,188,186,184,183,202,204,205,161,214,222,201,189,184,140,154,198,227,211,193,178,158,133,111,91,69,141,189,190,189,187,185,185,205,205,181,88,114,199,201,192,177,131,162,198,215,196,183,170,145,119,99,81,87,184,191,190,191,189,187,186,207,195,106,78,74,98,164,179,154,125,144,190,198,181,167,153,131,106,86,70,155,194,194,193,193,190,189,187,205,130,79,75,74,70,82,116,119,106,128,164,176,163,149,134,114,90,70,112,193,195,194,194,193,192,190,188,152,87,81,71,67,70,68,67,69,88,115,135,152,139,126,109,92,71,81,185,198,197,196,195,194,193,190,188,86,81,78,68,65,65,64,67,55,58,82,103,117,104,92,81,71,72,165,200,200,199,199,196,195,193,192,191,83,78,69,66,62,63,61,64,61,27,40,51,65,65,53,49,59,157,201,200,200,200,200,198,196,194,193,192,77,71,66,65,60,59,57,59,64,37,21,31,34,34,31,28,104,202,204,202,202,201,201,199,197,195,194,192
11,161,165,168,172,174,178,180,181,182,184,183,182,182,183,183,184,182,182,181,179,178,176,176,174,171,168,167,165,163,166,171,175,176,180,182,184,184,185,185,186,184,187,187,184,183,183,182,182,180,178,176,174,174,171,169,170,166,170,173,176,179,182,184,187,189,188,188,187,195,159,176,189,184,185,183,182,180,181,179,177,176,172,175,145,170,173,176,180,182,186,187,189,191,192,193,183,221,149,132,200,186,188,187,184,183,184,181,179,177,177,176,71,173,178,179,183,187,189,191,193,195,194,196,186,232,161,114,202,189,191,191,188,187,185,183,182,178,187,134,37,176,182,183,187,191,193,193,196,198,198,198,190,244,148,111,206,192,193,192,191,190,189,185,183,181,189,91,42,179,182,186,192,194,197,198,200,202,206,196,206,255,134,127,210,195,197,196,193,191,190,189,188,189,183,72,49,182,188,192,194,197,200,201,200,203,193,214,199,239,131,145,215,198,200,199,197,196,194,193,193,191,192,104,64,184,191,195,197,200,204,198,231,217,119,191,161,103,159,112,187,210,203,202,201,200,197,197,195,191,202,134,64,188,192,196,199,205,199,229,255,229,173,99,136,88,116,94,152,219,203,205,204,203,199,200,200,196,202,164,61,190,195,199,203,203,221,255,207,213,212,117,102,97,130,105,159,220,207,208,207,206,205,204,201,201,199,198,89,193,198,202,202,212,255,240,155,150,206,115,91,88,132,106,165,223,210,211,210,209,209,205,204,203,200,204,146,195,200,204,200,247,255,194,145,170,186,76,98,88,122,100,179,225,215,214,213,212,211,208,208,205,203,205,175,197,202,207,202,255,252,174,113,142,148,70,101,83,116,89,202,224,217,216,216,215,212,210,208,208,205,209,165,200,204,210,203,255,255,198,136,82,85,103,77,92,112,103,226,219,220,217,216,219,217,215,215,211,208,209,194,201,205,210,210,255,255,188,122,75,55,118,67,126,119,73,207,232,221,225,225,216,206,198,196,211,217,209,207,202,206,210,219,255,252,185,130,88,64,80,60,126,108,50,102,217,219,201,172,156,146,141,126,114,177,217,207,206,212,210,228,255,246,190,145,100,78,82,83,106,108,105,103,113,132,136,155,164,142,112,107,84,136,223,209,207,213,212,228,255,241,190,147,109,84,88,136,167,168,153,139,117,126,148,142,116,99,134,191,204,209,216,212,209,215,215,231,255,245,200,156,117,90,102,163,164,150,143,138,119,106,99,112,160,193,227,230,225,220,216,215,211,217,216,238,255,249,212,160,131,103,120,157,155,144,126,120,91,83,151,224,236,233,226,223,223,220,217,215,212,221,212,255,255,251,209,158,134,111,121,137,142,131,109,86,116,203,242,234,228,228,228,226,225,222,219,217,216,217,221,255,255,233,187,143,120,111,121,120,128,119,81,151,239,241,233,234,232,231,229,227,227,225,222,219,217,217,255,255,252,217,172,135,115,115,120,109,101,89,166,250,237,235,236,236,234,232,231,229,228,226,224,221,211,232,255,255,235,207,167,140,122,114,111,87,127,213,250,240,238,238,237,235,234,234,232,231,228,226,225,222,210,250,255,255,204,167,156,138,118,107,80,118,241,251,242,242,241,240,238,238,236,234,234,233,231,229,227,224,215,255,255,249,177,139,132,124,105,88,94,224,249,242,245,244,241,241,239,238,238,235,235,232,233,230,227,225,233,255,255,232,149,131,124,112,94,77,185,255,247,249,247,246,243,243,241,239,238,238,236,235,232,231,229,227
14,169,172,175,179,182,184,185,187,190,190,190,192,193,193,194,194,194,194,194,194,193,193,193,192,192,191,190,190,169,173,176,180,183,185,186,188,190,189,191,193,194,195,195,195,195,195,195,195,194,194,194,193,193,192,191,191,170,174,178,181,185,185,187,189,191,191,193,194,195,195,196,198,197,196,196,195,195,195,194,194,193,193,193,192,171,175,179,182,184,186,188,190,192,193,195,195,196,197,197,199,198,197,197,196,196,196,195,195,195,195,194,193,172,176,180,183,184,188,189,191,193,194,195,197,196,197,202,196,198,198,196,199,199,196,196,196,196,195,194,194,172,176,180,183,186,188,189,192,194,195,196,199,194,221,235,219,221,213,192,181,190,201,195,196,197,196,195,194,172,178,182,184,187,188,190,194,195,195,197,196,203,237,233,234,223,210,200,188,179,179,199,199,195,196,196,195,173,179,183,185,188,190,192,194,196,196,199,194,228,240,217,199,182,162,166,178,172,129,140,195,199,197,197,197,174,180,184,187,189,191,193,195,197,200,199,202,244,233,185,136,127,127,129,143,141,135,126,137,200,199,198,197,175,180,183,187,190,192,194,196,197,201,194,222,246,218,160,113,119,127,115,121,138,159,146,111,155,205,199,199,176,181,184,188,190,193,195,196,199,200,196,245,234,183,124,103,125,130,118,124,128,130,135,151,132,169,203,198,178,182,186,189,192,194,195,196,200,196,217,250,198,142,106,106,105,111,127,125,131,132,143,158,153,161,167,202,179,183,186,189,193,194,196,199,200,201,249,239,185,143,124,121,114,106,128,132,171,158,152,143,186,167,155,205,179,184,188,191,194,195,197,201,196,221,255,228,180,145,133,125,124,126,117,173,213,208,202,187,199,144,161,208,180,185,189,192,195,197,199,203,196,235,255,221,173,141,133,123,124,127,142,209,207,206,206,191,195,143,159,210,181,184,189,193,195,198,201,203,198,242,255,218,166,134,124,117,125,122,174,213,206,209,203,187,189,146,146,208,181,185,190,193,196,198,201,201,199,251,253,219,175,136,119,118,116,105,186,219,206,212,190,179,180,154,144,202,182,187,191,194,197,198,200,200,205,255,248,217,175,137,119,110,110,107,123,186,216,207,177,183,171,150,166,207,182,185,190,193,197,199,203,199,217,255,242,213,176,139,113,106,116,127,123,126,155,163,183,192,171,151,200,207,183,186,190,193,197,200,204,198,230,255,239,209,177,140,113,105,116,124,128,140,138,152,186,181,152,178,211,205,181,186,191,194,198,201,204,199,243,255,234,205,180,144,116,110,118,124,138,156,160,157,177,160,162,211,207,206,180,185,191,194,197,200,202,201,249,251,226,202,191,146,122,123,132,140,156,163,156,152,157,147,196,211,207,207,180,187,192,195,198,201,201,204,249,243,217,213,194,140,134,127,142,154,165,159,151,147,139,171,213,208,208,207,182,187,192,196,199,201,201,208,247,235,220,223,192,153,144,127,145,161,165,154,146,140,177,212,210,211,210,208,182,187,192,195,198,202,201,210,245,237,228,227,199,166,146,130,141,158,160,150,139,155,216,211,211,211,211,209,182,188,193,196,199,203,201,215,251,244,237,231,202,167,148,135,138,153,151,146,138,192,215,211,213,211,210,207,182,187,191,195,199,202,199,219,253,244,242,224,191,162,147,139,139,146,146,138,173,215,212,213,212,211,209,207,181,184,189,193,196,200,197,224,250,242,237,205,176,155,146,143,144,145,142,171,214,212,212,212,211,210,208,207
0,192,192,194,194,194,194,195,195,195,195,194,195,195,194,194,194,195,194,193,192,193,193,191,190,190,190,190,189,194,195,194,196,196,196,196,195,195,195,194,197,196,196,196,195,194,194,196,195,193,195,194,190,190,193,192,191,195,197,198,198,198,199,198,198,196,198,198,197,196,197,198,200,196,196,196,197,195,190,184,195,192,193,192,192,198,200,200,198,199,200,200,200,199,198,200,200,199,199,184,168,189,194,174,163,192,196,138,191,194,193,193,193,199,200,199,199,200,201,201,201,200,200,191,175,193,211,188,152,131,182,171,150,134,178,149,152,203,193,194,194,199,200,200,200,202,201,201,201,202,215,195,157,164,213,188,172,128,176,178,170,129,120,184,136,166,196,197,195,199,201,201,202,202,202,205,183,176,220,199,179,165,210,189,179,126,180,182,166,137,93,167,168,137,142,199,195,200,201,202,203,201,208,218,196,155,192,215,183,157,216,196,175,116,187,179,147,143,77,124,184,164,110,177,201,202,202,203,204,202,216,217,208,187,153,218,187,145,211,200,169,114,161,167,129,129,68,134,195,177,123,161,205,202,204,204,204,209,209,207,215,193,135,197,196,140,187,200,157,113,114,142,121,112,70,167,198,180,126,153,208,202,203,204,202,210,197,164,189,169,122,162,182,133,146,170,133,117,86,110,128,103,91,179,194,174,123,145,208,202,203,205,204,207,210,174,178,149,105,136,158,123,112,141,122,103,76,141,178,159,155,172,182,168,118,141,209,203,206,207,206,210,220,194,183,150,118,123,142,124,95,122,137,134,173,199,187,179,169,152,158,161,122,132,209,206,208,208,206,216,216,190,170,155,132,102,149,149,84,128,195,208,210,198,184,172,161,146,137,146,129,127,207,207,207,208,205,221,229,211,193,171,142,119,145,143,149,203,218,212,202,193,181,168,155,138,129,133,121,140,209,208,208,210,207,223,232,217,197,178,173,172,169,187,214,219,212,206,196,188,177,162,146,130,126,128,114,181,209,209,209,211,207,227,237,219,199,184,180,179,191,205,210,215,211,199,194,181,167,156,138,126,130,116,159,210,205,208,209,212,210,228,241,225,210,199,190,191,202,209,213,213,203,195,191,172,159,147,131,129,118,133,210,207,207,209,209,211,208,227,241,231,217,203,194,193,204,214,212,205,193,186,181,165,150,137,130,125,113,188,212,206,207,209,210,212,210,221,240,237,225,206,193,188,192,198,195,195,182,168,168,151,140,136,127,112,170,213,207,209,208,211,212,213,213,215,234,232,221,207,192,185,191,193,196,193,178,162,159,141,134,127,120,171,212,208,210,210,209,212,212,213,214,212,222,222,208,197,182,185,190,186,194,188,175,165,154,138,122,123,186,215,210,210,210,210,210,212,213,214,214,214,218,208,205,200,191,202,194,173,189,186,168,156,146,127,109,186,217,210,210,210,210,211,211,213,214,215,215,215,218,215,221,214,205,203,196,167,180,186,163,148,138,105,149,221,210,213,213,212,212,212,211,213,214,214,214,214,220,230,228,218,196,195,192,161,178,174,158,144,126,105,194,219,212,214,214,212,212,213,212,213,214,215,215,215,213,237,228,216,189,191,188,165,171,162,155,142,115,117,212,215,214,214,213,212,214,213,213,214,214,215,215,215,210,232,222,208,185,192,195,163,156,160,150,140,111,128,221,213,216,215,214,214,214,213,212,214,214,215,215,214,212,230,213,201,184,193,191,154,161,158,147,137,110,130,221,214,215,215,215,214,215,214,213
12,154,156,156,156,157,157,157,157,158,159,159,159,159,159,158,158,158,159,159,159,159,158,157,157,155,154,153,153,158,159,159,160,158,158,160,160,161,161,161,162,161,161,162,160,160,160,161,161,160,161,160,159,158,158,156,154,160,160,160,161,162,162,164,161,164,163,164,166,165,162,164,163,162,162,164,164,163,163,161,161,160,158,158,157,162,163,164,165,163,166,165,164,166,166,170,167,165,168,168,166,164,165,164,165,165,164,163,163,161,160,160,159,164,165,166,167,166,166,168,168,167,165,158,167,175,156,160,171,166,168,166,168,166,167,167,166,164,164,164,162,167,168,169,169,168,169,171,167,183,188,145,108,181,165,111,139,177,170,174,168,169,170,169,168,167,166,166,165,170,170,170,170,171,171,174,168,215,218,180,92,130,209,136,91,172,148,148,174,171,171,173,171,170,168,168,167,170,170,172,174,174,173,174,173,213,223,196,124,85,200,169,111,85,133,86,127,184,172,174,171,172,171,170,169,172,174,176,177,175,177,174,180,211,201,207,157,79,150,181,126,53,83,91,54,176,178,174,174,175,173,172,172,174,176,178,177,177,174,182,168,190,174,193,182,127,74,135,100,32,20,66,46,164,181,178,177,177,176,175,174,175,177,179,180,172,191,216,132,102,128,146,147,87,37,63,67,39,127,77,48,176,180,180,179,177,177,177,177,176,179,180,177,201,228,190,118,79,106,79,115,106,76,117,155,155,140,57,62,188,182,183,182,179,178,177,178,178,180,178,190,221,193,182,138,92,46,49,54,108,124,145,196,211,173,82,89,201,181,185,184,182,182,181,179,178,182,177,212,193,164,192,158,102,44,50,52,38,50,96,193,213,214,160,92,146,194,183,184,183,182,182,181,180,178,189,211,184,141,189,161,132,64,42,62,69,77,143,184,188,175,155,134,74,171,190,184,185,184,184,183,181,178,200,222,188,137,120,189,175,92,42,67,91,160,200,183,182,138,123,145,71,146,198,185,187,186,185,185,184,182,193,227,208,173,112,129,161,168,81,68,187,205,186,180,167,133,98,95,62,175,191,187,187,186,185,185,184,181,192,230,220,185,145,130,115,124,111,177,226,201,184,172,148,121,84,49,91,200,189,190,188,187,187,186,185,183,191,221,222,203,165,157,137,95,163,222,212,207,166,148,123,113,71,36,147,200,190,192,189,188,188,187,185,186,187,212,218,217,191,169,151,135,146,213,206,193,151,119,113,105,55,65,194,193,192,191,190,190,189,188,183,185,177,199,227,221,199,177,155,151,142,204,195,165,136,97,119,94,34,121,206,191,192,191,192,191,191,191,181,185,180,173,222,209,186,174,160,156,152,179,176,136,112,108,115,72,40,177,198,193,192,191,192,192,192,191,184,185,186,170,214,192,173,166,164,157,151,159,155,136,108,108,98,42,92,203,191,192,192,192,192,191,189,189,186,185,187,180,209,194,181,182,175,158,145,156,165,139,93,83,65,49,176,198,193,192,193,193,192,191,190,188,186,185,186,179,210,202,191,190,174,168,141,159,168,110,71,68,40,138,204,193,195,194,193,193,192,192,192,191,185,187,188,178,211,209,197,199,177,179,136,152,149,95,69,42,88,205,195,196,195,194,195,195,193,193,193,192,184,185,189,176,201,220,204,205,184,178,133,134,137,98,61,37,169,203,194,195,194,195,196,195,193,193,193,192,181,183,188,177,197,222,199,193,181,171,126,118,135,94,41,69,202,194,196,195,195,196,195,194,193,193,194,194
24,150,152,152,153,154,154,154,155,154,154,154,154,155,155,153,152,151,150,149,150,148,146,146,146,144,143,141,139,153,154,155,156,157,157,157,157,157,157,157,157,157,157,157,156,156,154,153,152,150,150,149,147,146,145,144,142,156,157,159,159,159,159,160,160,160,159,159,159,160,159,159,159,158,157,156,154,153,152,153,153,149,148,147,145,159,160,161,162,162,163,164,163,162,162,162,162,162,163,162,160,159,159,158,157,156,157,138,134,156,150,149,148,162,162,164,164,163,164,164,164,164,164,164,163,164,164,164,163,162,161,160,160,157,162,132,88,155,153,151,150,165,165,165,166,167,166,166,167,167,171,166,165,165,165,165,164,164,163,163,162,159,167,135,84,154,157,153,151,167,167,167,169,170,169,169,171,161,133,169,169,168,169,168,167,165,165,164,164,161,171,127,88,159,158,156,153,169,169,170,170,170,170,170,172,154,94,131,178,170,172,171,170,169,168,167,165,166,174,119,96,165,158,158,156,170,171,171,172,172,171,171,174,155,113,94,177,172,173,173,172,171,170,170,165,173,172,113,107,170,160,159,158,172,173,174,174,175,174,174,175,170,134,81,159,179,173,174,173,171,171,171,171,179,158,93,121,174,162,162,160,174,175,175,176,176,177,176,175,177,149,85,131,186,174,176,177,178,175,171,161,181,151,75,140,173,165,165,163,175,177,177,177,177,177,177,177,179,164,112,98,184,176,178,163,146,172,163,113,104,140,85,165,170,167,166,164,177,178,179,178,179,178,179,178,181,170,131,76,163,185,168,149,126,124,131,113,81,86,100,178,170,170,168,166,178,180,180,180,181,181,181,181,182,177,142,87,126,191,158,160,138,127,116,130,129,58,112,183,169,171,170,168,180,181,182,182,183,182,182,182,182,181,159,126,93,164,146,171,139,130,133,136,122,60,134,183,172,172,171,169,182,182,182,183,184,183,183,183,182,183,172,139,87,118,123,166,157,104,91,118,136,80,112,186,173,174,172,171,182,183,183,184,184,185,184,184,185,187,178,154,139,114,106,136,157,95,40,111,152,103,74,176,176,174,173,171,183,185,186,186,186,186,186,186,186,188,179,176,156,103,73,113,139,79,46,94,160,141,75,119,187,174,175,174,186,187,188,188,188,188,188,188,187,189,182,174,137,102,82,115,128,79,61,158,171,156,93,80,184,175,176,175,187,188,188,189,189,189,189,189,190,190,188,174,156,145,107,111,141,92,123,183,166,140,79,89,185,176,176,175,188,189,189,189,190,191,191,190,191,191,192,174,169,159,113,109,107,116,184,177,150,129,63,109,191,177,178,177,187,189,189,189,190,190,191,191,190,192,193,171,168,169,135,112,91,169,186,171,144,120,60,131,192,176,178,177,188,189,189,190,191,190,190,191,192,192,192,176,162,160,147,122,98,169,178,162,138,109,58,149,187,177,177,176,189,189,190,191,191,190,191,192,193,191,194,178,156,156,154,139,104,154,180,156,125,91,60,167,184,178,178,176,190,190,190,191,191,192,193,192,193,193,195,185,159,160,154,154,113,137,175,146,112,68,78,188,181,181,179,177,190,190,190,192,193,193,193,192,192,194,193,194,168,164,155,158,116,107,155,120,90,45,112,195,180,182,179,179,185,188,190,192,193,195,195,196,198,200,199,202,177,167,157,146,118,98,121,109,74,45,160,191,183,184,185,172,114,117,120,124,127,131,137,139,142,147,150,152,168,171,150,138,130,106,109,115,59,80,183,176,177,167,124,78
22,176,178,180,182,182,181,182,184,183,183,185,185,184,184,184,184,183,183,185,183,181,181,180,182,156,47,0,0,179,181,183,183,184,186,187,187,187,188,189,189,188,187,188,188,188,187,188,187,184,184,181,184,163,33,4,15,182,184,185,186,188,189,189,190,190,191,192,190,191,191,190,191,192,192,190,189,189,187,186,183,190,87,6,31,183,187,188,189,189,190,191,193,193,193,194,195,191,193,196,193,193,194,191,195,192,191,190,186,192,135,15,20,186,189,191,191,192,194,196,196,196,196,197,196,204,170,178,201,195,200,184,157,199,193,193,190,190,190,42,6,189,192,193,193,196,197,197,198,199,199,198,195,221,158,143,211,197,207,192,106,197,196,196,193,190,165,67,0,191,193,196,197,198,199,198,200,201,201,201,199,221,156,131,215,200,204,176,101,194,200,199,194,209,117,94,58,192,195,197,199,199,199,202,202,202,203,204,200,229,179,121,212,203,205,181,107,189,203,199,204,198,101,136,148,194,198,200,202,203,201,204,204,205,207,206,200,231,211,118,207,205,208,191,119,192,206,199,214,174,110,139,177,196,198,201,204,205,204,206,207,207,207,207,203,223,236,122,200,210,205,182,123,198,209,203,229,165,117,185,176,198,199,202,202,203,206,207,207,207,207,208,206,218,251,127,176,217,201,182,120,196,210,210,228,142,135,213,144,199,200,203,205,206,207,207,206,207,209,209,208,216,255,172,137,219,205,197,128,193,210,222,209,112,155,217,163,200,201,205,206,207,208,209,209,210,212,211,211,212,249,206,116,201,201,195,131,196,216,226,190,98,181,212,196,202,204,207,208,208,209,210,211,212,211,212,215,209,234,198,141,150,139,189,154,208,227,222,158,112,211,206,205,202,204,206,207,208,208,209,211,213,213,214,215,217,247,211,183,177,76,132,174,194,193,195,122,152,220,206,206,201,201,202,206,207,207,209,210,210,211,214,210,235,224,234,182,193,143,103,110,138,144,140,100,200,213,208,207,200,201,205,207,208,208,211,210,209,211,212,214,235,179,211,179,149,198,177,101,76,119,100,107,219,207,208,206,201,203,206,207,209,209,211,210,211,215,212,226,239,203,187,180,81,165,191,157,91,75,78,119,220,206,206,206,199,202,205,206,207,208,210,210,212,216,212,233,231,179,136,179,82,62,166,189,158,84,53,140,222,208,207,206,207,210,213,213,211,213,215,214,216,220,212,230,234,173,138,143,108,44,127,218,204,151,61,163,221,208,207,206,167,172,177,182,185,190,195,198,202,208,205,221,247,188,144,109,126,139,199,205,222,186,110,122,229,220,219,216,77,78,80,84,84,86,89,90,94,101,90,174,255,220,142,118,157,217,238,219,212,182,137,92,157,155,155,166,83,84,85,85,83,83,83,83,82,87,69,161,255,243,144,127,151,225,240,231,202,165,111,72,78,106,146,183,86,83,82,84,87,87,87,88,88,90,81,160,250,245,148,148,144,228,246,229,195,159,84,124,212,218,228,234,82,82,82,82,84,85,85,87,88,91,80,132,246,243,166,172,139,220,253,213,183,142,73,160,226,208,209,224,81,83,82,82,83,83,84,87,87,88,83,100,232,240,190,172,144,202,238,188,159,113,74,152,182,203,206,209,80,81,82,83,84,82,83,87,87,85,88,82,202,238,198,160,136,170,218,164,123,85,80,181,135,151,185,205,81,82,83,83,89,84,83,86,87,88,88,79,190,218,174,144,120,124,183,141,101,69,100,203,129,130,173,200
7,170,171,170,171,171,171,171,170,170,170,169,168,167,166,165,165,164,163,162,160,157,156,156,153,152,150,148,145,172,172,172,172,173,173,173,172,171,171,172,171,170,169,168,166,165,163,164,162,160,159,158,155,154,152,151,147,173,173,174,174,174,174,175,175,174,173,174,173,172,172,170,168,167,166,165,164,162,160,158,158,157,154,153,150,175,174,176,176,176,175,175,177,176,175,174,174,174,173,171,170,169,168,166,166,166,165,163,163,160,157,155,152,176,177,177,178,178,177,177,177,178,178,176,174,174,173,173,174,175,173,171,166,161,152,146,145,151,161,157,155,178,178,179,178,178,178,178,178,178,180,180,180,181,177,173,160,144,134,124,129,116,95,121,148,118,151,161,156,180,179,179,180,179,179,181,183,183,176,170,160,145,131,117,115,98,88,103,96,92,88,105,118,99,158,163,157,180,180,181,180,181,183,177,155,133,121,112,115,113,108,106,101,89,75,80,68,71,65,49,70,110,129,153,162,182,182,182,182,185,170,143,124,97,98,109,103,104,98,96,80,77,84,74,71,77,69,68,62,52,65,92,158,181,180,184,183,160,143,143,125,89,80,76,71,76,83,92,101,107,108,78,58,80,69,57,51,37,61,64,149,181,185,177,148,138,143,138,124,109,94,91,97,109,116,112,113,101,93,65,42,47,36,34,41,45,60,108,164,186,176,144,135,140,138,131,131,126,114,112,106,108,103,90,83,70,56,41,50,82,109,131,145,158,165,169,164,179,144,137,139,141,133,138,136,118,82,62,69,72,59,51,80,93,111,136,164,181,183,179,176,173,169,166,165,148,143,143,143,140,140,136,117,96,47,39,47,35,29,20,87,188,190,187,182,176,173,172,172,171,170,166,165,143,148,145,142,142,132,110,104,81,49,37,24,21,22,24,1,103,191,177,178,177,176,174,173,171,169,167,165,146,146,143,146,137,117,106,100,94,96,74,30,22,26,16,26,141,184,177,177,175,175,172,171,169,166,169,168,140,144,150,146,126,105,97,92,102,112,74,27,23,18,28,140,192,179,179,178,177,174,171,172,175,176,157,87,141,148,146,129,99,85,85,82,87,79,40,19,17,0,85,202,178,182,179,178,176,179,182,171,144,98,51,28,142,142,124,101,91,90,89,77,70,57,40,25,24,4,80,193,178,184,184,183,188,156,109,71,39,24,21,27,135,119,100,99,98,94,85,60,46,56,59,35,14,51,177,194,188,167,157,155,121,57,31,20,25,24,25,26,111,100,100,95,82,65,49,43,53,70,57,21,37,145,157,136,95,46,40,35,27,24,37,24,12,18,23,27,102,103,91,69,57,54,52,55,54,46,26,45,68,61,50,48,15,12,25,11,25,16,17,23,0,10,19,25,103,96,77,68,68,65,56,44,36,33,67,79,55,42,38,34,29,0,20,9,12,10,10,11,0,3,14,22,89,68,57,56,54,49,39,37,54,78,81,54,38,32,25,19,18,2,3,11,3,6,7,3,0,0,14,19,48,27,37,43,49,52,59,75,87,77,36,31,28,23,14,18,12,7,0,7,0,1,5,0,0,1,11,18,16,53,82,84,90,86,84,83,77,49,25,12,20,21,9,12,7,8,0,0,1,0,6,0,0,3,8,15,31,86,87,84,90,82,80,76,56,19,16,9,8,17,2,5,0,3,0,0,0,0,5,0,0,3,9,13,45,87,86,83,84,83,76,61,30,0,17,12,0,14,0,3,0,0,0,0,0,0,2,0,1,2,10,10
15,93,106,116,126,132,134,138,145,151,156,161,166,171,174,178,182,184,187,191,192,193,195,195,198,198,199,201,200,96,108,118,127,135,137,140,147,154,158,163,168,171,175,180,184,188,191,193,193,195,197,197,199,200,201,204,203,97,110,120,130,138,140,142,149,157,161,165,169,174,177,182,186,189,192,193,195,196,198,199,199,200,201,203,205,99,112,121,131,137,139,142,152,158,162,168,173,176,181,184,187,191,194,196,197,199,201,202,201,203,205,205,206,101,113,124,133,138,139,144,154,159,164,170,174,177,182,185,189,193,196,198,199,201,203,204,204,207,208,208,208,102,115,126,135,140,142,147,155,162,168,172,175,179,184,187,192,193,197,199,200,202,204,206,208,209,209,210,211,103,116,127,135,138,144,149,157,163,169,173,178,182,187,189,192,196,199,201,202,205,207,209,211,211,210,211,213,104,117,127,141,207,181,163,160,163,171,175,181,185,191,191,195,200,201,204,206,207,208,211,212,212,212,213,214,105,121,125,157,238,192,177,175,168,180,179,178,176,181,191,200,202,204,206,207,208,210,211,213,214,215,216,216,108,121,131,141,177,176,167,160,160,186,183,179,170,154,169,182,188,197,205,207,213,217,215,215,217,218,219,218,109,121,134,142,146,150,147,139,147,165,168,170,168,171,179,169,173,179,192,193,183,195,214,221,216,219,220,220,112,124,136,144,150,154,158,165,167,169,164,154,153,166,172,164,159,156,182,195,182,166,154,198,229,219,222,224,113,126,137,144,151,154,159,168,175,181,185,182,178,174,165,152,141,154,179,191,202,164,155,138,188,231,223,226,113,127,138,146,153,156,162,169,175,182,187,192,197,199,198,188,178,193,190,184,192,183,167,174,136,178,234,223,116,129,141,148,156,159,162,170,176,183,188,193,196,203,201,215,246,219,183,136,190,190,163,189,167,124,184,240,117,129,141,150,156,157,163,171,178,184,191,194,220,189,162,181,217,209,162,97,181,189,168,188,186,158,114,186,118,132,143,151,158,158,164,173,180,186,190,203,228,185,147,189,238,223,159,134,162,174,183,184,175,157,127,108,121,134,143,154,159,160,166,174,181,188,193,202,201,159,151,199,239,215,152,146,147,145,164,171,145,146,135,119,121,134,146,156,159,162,168,175,182,190,195,197,208,207,164,190,221,189,159,158,161,157,164,167,133,125,135,131,121,135,147,156,158,161,169,176,184,190,196,197,213,255,219,128,108,111,130,165,173,169,177,172,143,133,135,132,122,136,148,156,159,163,170,178,185,191,198,201,205,255,234,150,57,25,15,42,111,169,171,167,152,152,140,123,123,136,150,158,160,163,172,179,186,193,200,202,204,255,232,143,80,70,39,5,10,123,156,146,134,115,93,73,123,137,150,158,160,163,172,181,187,194,200,205,203,255,232,115,123,125,108,66,36,47,94,80,63,46,41,31,125,139,151,158,160,163,172,182,189,196,200,207,202,247,247,128,165,161,147,140,103,56,48,44,42,37,38,35,124,139,151,159,162,165,172,181,189,194,200,207,204,236,255,140,155,175,156,127,78,51,49,47,48,40,40,35,124,139,151,158,159,163,171,181,189,194,199,204,206,217,255,148,151,236,203,111,62,44,48,48,46,40,40,37,126,139,151,159,160,165,173,183,189,196,200,206,208,219,245,120,173,244,216,101,52,45,47,47,44,40,41,41,127,141,152,160,162,167,175,183,190,196,201,207,208,222,188,151,227,229,230,105,64,54,52,43,40,42,43,43
12,155,157,159,162,163,164,167,170,171,172,172,173,174,173,173,174,173,173,174,174,174,172,172,172,171,170,170,169,157,160,161,163,165,166,169,172,173,174,174,174,175,175,175,176,175,175,176,177,176,174,174,173,173,172,171,171,158,160,163,165,166,168,170,171,174,176,176,176,177,177,176,178,177,178,178,178,178,178,177,176,175,174,173,173,158,161,164,166,167,169,171,173,174,176,177,178,179,178,178,180,180,179,178,179,179,180,179,177,177,176,175,174,160,163,165,167,170,171,173,175,176,178,179,180,180,179,181,182,181,179,179,180,179,180,179,178,178,178,178,176,161,163,166,168,171,173,176,177,178,179,180,179,182,180,169,175,186,172,152,168,182,180,180,180,180,180,180,179,163,165,167,170,172,174,177,179,180,180,181,180,200,195,154,148,199,165,115,117,181,180,182,181,181,181,181,181,164,167,169,171,173,174,177,179,181,181,181,181,216,205,159,138,195,160,106,80,146,142,145,181,183,183,183,183,166,169,171,173,176,177,178,179,180,185,187,155,162,188,152,128,189,154,101,86,156,127,83,147,185,184,184,185,166,168,171,174,176,178,180,182,181,208,200,160,113,145,143,120,184,155,99,118,169,135,82,106,187,186,185,185,167,169,171,174,177,180,181,182,195,222,213,170,117,105,155,122,195,183,122,142,181,147,83,95,186,188,186,185,168,171,173,175,178,180,182,182,210,202,207,173,120,91,161,121,169,169,109,153,203,155,78,97,187,188,187,187,169,172,175,177,179,182,184,188,218,194,195,172,117,74,103,92,77,127,119,153,167,112,58,102,189,189,188,188,171,174,176,178,180,184,184,208,216,179,180,167,119,73,55,55,63,152,185,178,153,120,67,112,191,189,189,188,173,175,177,180,182,184,187,220,204,163,159,161,124,80,64,82,149,181,177,164,141,121,86,131,194,192,191,188,173,175,179,181,183,185,196,221,197,169,142,152,148,85,74,169,202,184,166,149,119,101,85,137,195,192,192,191,174,176,179,183,185,185,208,222,201,178,146,126,128,94,138,213,209,179,159,139,109,92,77,146,197,194,194,192,176,178,180,184,187,186,215,222,201,178,161,132,130,147,201,220,206,173,151,127,100,86,72,158,197,195,194,193,177,179,182,185,188,187,216,222,203,184,170,146,146,160,212,220,198,165,142,118,95,83,65,152,198,194,195,194,178,180,182,186,188,187,214,225,208,192,180,157,142,172,214,212,188,161,133,108,89,77,70,169,199,195,195,195,179,181,184,186,188,189,209,225,209,193,179,162,149,190,207,195,175,153,126,100,82,70,124,196,197,196,196,196,180,183,185,187,189,190,205,222,203,188,170,158,166,194,186,179,161,139,115,91,73,113,190,200,198,197,198,197,181,183,186,187,190,191,208,219,198,186,169,166,184,193,174,169,150,126,104,81,110,186,201,201,200,199,199,198,182,184,187,189,192,190,217,220,205,194,181,180,192,191,170,158,139,118,93,94,177,202,202,201,200,200,200,200,183,185,188,190,193,191,229,228,216,198,188,191,192,179,163,137,122,102,84,145,200,204,203,201,201,201,200,200,183,186,189,190,192,195,232,227,223,203,195,192,181,167,145,119,107,83,124,194,206,205,204,202,202,202,201,200,184,187,190,192,191,198,224,215,214,197,191,182,173,151,131,112,94,93,177,206,207,207,205,203,203,202,202,201,185,187,191,193,189,202,218,199,193,182,181,181,165,139,129,107,82,126,198,208,207,207,206,205,203,203,203,202
16,110,110,112,113,113,127,140,153,164,173,182,189,192,194,196,203,208,213,218,222,226,230,232,236,238,240,244,246,109,110,112,112,114,128,141,153,164,172,183,190,191,193,196,200,207,213,219,224,226,230,233,237,240,241,245,247,108,108,110,111,113,127,141,153,161,172,182,189,191,190,195,199,204,211,217,222,225,229,231,236,239,242,244,246,107,107,112,111,113,128,140,152,164,175,183,188,190,191,190,202,209,210,215,221,225,228,230,235,240,241,244,246,107,107,110,110,115,128,140,152,163,169,178,180,209,215,179,162,188,216,223,219,222,228,233,235,239,242,245,248,107,107,108,108,114,128,140,153,157,182,193,212,236,211,181,153,127,141,189,225,230,230,232,235,240,242,246,247,106,106,108,106,112,125,141,141,181,248,232,234,219,185,163,159,137,112,102,143,200,226,237,240,240,241,244,246,106,107,107,107,110,127,135,146,242,241,216,205,196,174,154,135,134,125,108,101,108,137,171,205,236,247,244,246,103,106,107,105,111,122,135,236,243,201,191,184,170,158,135,122,126,133,115,113,107,101,101,112,150,210,246,252,102,104,107,104,111,106,187,248,198,184,173,157,142,128,120,120,112,141,125,121,114,107,102,99,98,113,165,229,96,96,97,96,99,167,205,192,177,168,146,130,119,110,116,103,102,136,135,145,119,111,102,98,101,101,96,122,153,147,150,141,178,230,182,169,161,139,121,114,101,105,111,76,105,139,144,147,125,117,101,98,97,100,103,96,143,148,148,146,252,230,187,153,127,117,109,95,91,105,85,60,121,141,145,149,131,121,106,104,96,97,100,101,139,145,124,184,255,213,168,128,98,95,86,80,92,85,48,58,126,137,144,162,148,135,114,107,95,95,98,97,150,144,154,244,223,188,135,104,83,90,71,59,53,42,33,42,122,132,151,180,170,146,130,99,93,97,96,92,152,134,211,221,181,147,108,87,79,81,51,32,30,27,30,32,107,134,159,192,157,152,139,92,91,93,92,90,140,171,235,188,139,107,90,82,83,81,61,29,24,25,25,23,78,125,183,180,129,154,138,88,91,87,91,90,141,231,215,155,107,78,78,85,90,91,93,70,30,33,40,42,37,151,206,149,118,143,116,87,91,88,90,85,190,217,161,113,90,112,93,92,96,98,96,89,66,68,70,52,84,213,179,126,113,113,92,87,87,88,84,82,224,158,115,76,121,144,111,122,111,107,100,90,84,84,78,60,182,203,153,113,98,89,82,88,86,83,86,91,172,118,77,103,140,118,117,118,114,107,101,91,83,81,58,114,226,182,132,96,86,80,81,83,79,85,93,93,122,85,105,147,147,141,138,119,105,97,102,85,85,100,106,191,228,185,108,83,80,83,85,82,84,91,89,89,127,128,146,147,150,150,148,148,138,132,139,134,138,150,142,228,232,191,103,64,74,89,87,85,87,88,90,91,151,148,146,146,148,149,148,150,149,152,150,151,151,150,144,231,237,197,118,73,126,106,100,94,92,95,93,94,147,144,145,147,148,148,148,148,147,148,150,150,150,152,139,201,220,181,108,130,182,119,111,111,109,107,98,94,146,147,145,146,149,147,146,148,148,150,149,149,151,154,144,161,190,143,104,139,192,168,126,117,122,124,112,98,147,147,146,146,148,148,147,147,148,148,147,148,151,150,149,149,156,125,122,141,168,209,166,148,143,142,129,116,146,146,147,147,148,148,148,148,148,148,149,149,152,150,151,151,151,150,151,146,147,224,194,174,163,153,142,127
2,183,182,183,184,185,185,184,184,184,184,184,184,184,184,183,183,183,182,182,181,180,178,178,180,175,89,56,76,186,187,188,186,186,186,186,187,187,188,187,188,186,186,186,186,182,188,185,186,180,181,182,186,165,72,70,81,191,191,192,190,190,191,191,191,191,193,193,191,187,193,201,167,114,154,170,155,192,187,185,186,179,94,79,76,194,194,194,193,193,194,194,194,195,194,192,195,203,199,159,118,87,94,120,92,140,182,188,186,191,124,78,83,197,196,197,196,196,196,196,198,197,197,210,219,181,125,98,86,80,81,91,80,72,150,197,186,197,141,74,72,200,200,200,199,199,200,200,201,197,209,224,199,121,77,81,78,72,66,77,80,69,148,200,189,196,165,80,55,202,203,203,202,202,202,204,204,199,228,201,126,88,68,70,76,69,64,68,75,112,190,195,192,193,193,87,39,205,205,206,206,206,205,206,203,211,237,158,88,79,71,64,70,75,88,134,169,199,200,197,195,195,196,128,111,207,207,208,209,208,208,208,202,227,222,141,95,79,88,76,77,89,166,212,205,201,201,200,198,198,200,165,148,207,209,212,211,211,211,209,213,234,192,121,80,77,83,76,101,184,210,202,204,205,204,202,200,199,210,126,159,211,212,212,212,213,213,207,227,229,175,119,84,79,75,81,142,225,206,208,207,206,206,206,205,202,208,142,192,213,215,216,215,214,214,213,241,220,166,121,102,91,79,78,164,220,212,212,209,209,207,207,206,204,204,188,172,214,215,217,218,217,213,225,252,206,152,112,99,96,93,86,202,219,213,213,213,213,211,211,208,206,206,209,180,216,216,218,219,219,212,237,245,194,140,102,94,89,93,110,219,217,216,214,214,214,214,213,211,209,210,206,201,218,219,219,218,216,213,251,232,187,139,103,90,88,90,119,223,216,216,214,214,214,213,212,213,212,212,208,202,218,219,219,222,213,231,250,217,174,129,104,93,97,84,139,232,217,217,217,216,216,215,216,216,215,217,216,209,220,221,221,223,216,248,241,204,162,122,102,91,89,77,126,232,218,220,219,220,221,221,214,204,195,188,197,217,223,222,225,216,219,253,233,196,154,115,97,86,82,95,85,160,235,220,225,223,206,192,182,178,173,161,131,164,223,223,228,212,234,248,224,184,143,114,94,74,85,97,99,93,194,223,206,183,176,176,188,182,158,139,125,148,225,227,222,218,249,242,214,169,132,112,87,70,95,98,106,113,114,140,155,175,191,182,160,125,134,185,210,217,227,230,215,235,249,234,204,161,128,109,78,81,110,114,126,128,127,134,161,181,169,135,106,141,218,224,222,220,230,224,220,250,245,227,190,154,125,107,80,94,121,129,134,131,132,138,150,133,123,147,184,223,223,220,219,218,226,219,245,247,237,217,183,147,114,104,87,107,126,136,138,132,123,114,107,141,201,229,231,225,224,222,222,220,214,232,248,241,231,214,176,137,109,104,95,121,133,136,129,117,101,109,174,231,231,227,226,226,226,225,225,224,225,238,239,232,218,188,151,121,109,100,103,124,128,130,114,99,154,213,236,229,228,230,229,228,227,226,226,226,234,236,231,211,188,160,133,113,108,101,110,117,122,114,96,172,241,235,230,230,231,232,231,231,230,228,228,226,231,229,213,187,168,150,125,110,105,108,108,108,105,116,189,241,232,233,233,232,233,232,233,232,230,229,227,226,228,219,198,163,152,129,107,110,111,110,107,101,154,225,242,234,236,236,235,235,234,234,233,232,232,231,229,228
22,8,47,67,67,72,75,77,89,104,114,121,124,127,130,134,137,141,142,143,148,148,147,149,147,147,148,147,146,7,52,67,68,72,76,79,90,105,116,122,124,127,132,135,138,141,142,148,130,142,150,150,152,149,149,148,146,10,57,67,69,73,77,79,92,107,118,123,127,129,133,138,142,142,144,162,87,119,158,144,138,153,150,149,148,14,61,68,70,73,78,80,93,108,118,125,127,132,133,140,143,142,152,163,84,126,162,128,91,154,151,151,150,19,63,68,71,75,79,82,95,109,119,123,143,145,88,140,145,142,163,164,82,135,171,117,93,159,153,152,152,24,65,68,72,76,79,83,96,111,124,125,146,134,69,135,148,143,173,158,84,146,177,111,106,164,155,155,154,30,68,70,73,77,80,84,97,113,124,128,139,141,75,124,153,146,169,143,85,157,177,104,125,164,157,157,156,36,69,70,73,78,80,85,100,113,124,131,135,145,84,109,155,150,162,128,81,164,171,91,139,165,158,158,158,41,70,71,74,78,82,86,102,114,126,133,133,146,99,92,153,153,157,116,85,180,149,81,153,164,161,161,161,45,71,71,75,79,81,86,102,117,127,133,132,147,107,71,141,157,142,108,88,187,127,89,165,163,163,164,162,51,72,71,75,79,81,88,104,118,128,134,132,149,136,80,122,153,127,91,104,186,107,101,170,162,165,165,163,57,71,72,75,78,82,88,105,117,127,134,133,149,162,94,92,136,125,109,157,171,91,116,173,164,166,166,166,63,72,72,74,79,82,89,106,118,128,134,147,122,130,82,82,120,144,173,178,146,81,136,173,166,167,167,167,66,72,73,76,78,82,90,106,118,128,140,157,120,106,86,100,126,161,181,170,132,78,153,172,168,169,169,168,68,72,73,76,80,83,91,106,118,129,138,144,159,159,120,73,98,141,162,162,130,77,162,172,170,169,170,170,70,71,73,75,80,82,91,108,120,130,138,154,170,176,117,78,77,105,128,139,115,76,162,175,172,171,171,171,71,72,73,75,80,82,92,109,121,132,134,171,157,137,126,109,82,81,89,93,101,74,153,178,173,174,173,173,72,72,74,76,81,84,92,109,122,132,135,169,155,125,140,133,108,86,80,70,85,71,143,181,174,176,173,174,74,73,73,76,79,83,92,110,121,132,134,174,169,139,130,141,132,121,97,70,70,69,141,183,175,177,177,176,74,73,72,76,78,82,94,110,122,135,135,173,175,148,132,185,143,133,101,75,74,68,142,184,177,178,178,177,73,72,72,75,79,82,94,110,124,135,136,163,189,142,150,207,148,122,97,82,80,71,149,184,178,179,178,177,73,73,73,75,78,82,95,111,124,135,138,153,182,130,162,191,149,119,98,90,81,74,160,184,180,180,180,179,74,74,73,74,78,84,96,112,123,135,138,146,168,135,157,175,154,131,100,87,83,78,161,183,180,181,181,181,74,74,74,77,79,84,97,112,124,134,140,143,157,154,158,167,148,125,99,85,83,79,161,185,182,183,184,184,73,72,73,76,80,83,98,113,125,135,140,142,151,164,149,151,140,105,92,85,81,72,158,188,183,184,184,184,75,72,72,75,79,82,98,113,125,136,139,142,150,161,139,130,135,97,92,89,80,62,147,191,183,185,184,184,73,71,71,74,77,82,97,112,125,135,138,142,151,152,123,129,151,136,115,91,81,61,121,191,181,184,184,183,72,69,70,73,75,80,95,111,124,133,138,142,150,156,156,162,161,148,133,99,77,64,86,181,181,183,183,183
1,139,143,147,150,153,155,157,159,161,161,162,165,166,166,165,166,165,166,165,164,164,164,164,162,160,160,159,158,140,144,148,152,154,156,159,161,162,164,165,167,167,167,169,168,169,150,155,167,164,165,164,163,162,161,161,160,141,146,150,154,156,157,161,161,164,167,168,167,168,171,149,159,181,128,112,179,164,165,165,164,163,162,161,161,143,146,151,155,157,159,161,164,166,168,169,168,169,183,117,133,185,125,103,158,164,168,166,166,165,164,162,162,145,148,152,156,158,162,163,166,167,168,170,170,179,183,108,141,179,113,106,123,123,175,166,166,166,166,164,163,146,149,154,157,160,163,166,167,168,170,172,167,148,165,102,153,177,105,130,143,99,173,167,167,168,167,166,165,147,151,155,158,160,163,167,167,170,170,178,166,98,142,111,162,185,116,140,145,92,169,171,169,169,168,166,166,148,153,157,160,162,165,167,168,172,171,184,151,87,140,118,158,173,113,147,147,90,167,174,171,170,169,169,168,148,153,158,161,163,166,167,170,173,172,185,138,79,124,104,140,161,104,160,157,96,167,175,172,172,170,169,168,149,154,158,162,165,167,170,172,173,176,187,131,83,138,103,153,162,104,164,151,96,166,175,173,173,171,171,170,150,156,160,162,165,168,171,173,173,181,183,122,89,156,99,158,160,101,172,148,97,169,176,175,174,173,172,171,152,156,161,163,166,169,172,174,174,186,187,124,75,122,74,143,128,100,181,150,102,172,177,176,174,174,173,172,152,157,161,164,167,170,173,176,174,192,181,126,108,120,111,144,147,124,149,147,101,175,178,177,176,175,175,174,152,158,162,165,168,171,173,176,177,196,177,143,123,166,174,177,180,156,105,123,105,178,178,179,178,176,174,174,153,159,163,165,169,172,174,174,186,195,157,129,101,112,156,150,176,185,136,82,97,183,178,178,179,178,176,176,154,159,164,166,170,172,175,173,195,191,153,116,102,91,110,106,177,199,172,97,93,187,179,178,178,178,177,177,154,160,164,167,170,173,175,175,200,187,144,115,112,109,124,157,167,185,173,120,105,188,179,180,179,179,178,177,155,160,164,167,171,174,175,178,203,180,147,116,120,117,148,192,179,164,137,116,88,171,185,180,180,180,179,179,153,159,164,167,171,174,175,181,204,182,153,129,126,131,176,196,173,153,122,94,83,173,186,181,181,180,179,179,154,159,163,166,169,173,174,180,203,182,150,131,128,138,190,201,169,142,114,83,82,182,182,180,180,180,179,178,155,160,164,167,170,173,175,179,201,184,154,146,129,136,192,199,162,133,108,74,98,189,182,182,181,180,179,179,154,160,165,168,170,174,176,178,197,187,164,163,135,129,196,184,154,121,98,70,154,189,182,182,182,181,179,179,155,160,164,168,171,174,177,178,194,191,169,166,134,136,191,170,148,114,80,92,189,183,183,183,183,181,180,179,155,159,163,167,171,173,176,177,197,194,170,159,124,141,178,150,136,104,66,131,192,182,182,182,180,179,179,178,155,161,166,171,176,177,181,178,198,188,166,145,121,145,157,137,123,92,76,176,192,188,188,187,186,186,184,183,130,133,134,135,138,141,137,156,204,182,167,145,131,148,144,135,115,82,87,145,143,144,144,145,146,146,145,143,104,101,101,102,101,103,95,171,202,183,173,146,145,143,128,122,96,74,89,93,93,93,92,93,90,90,88,87,111,110,111,112,112,110,118,198,184,166,164,155,143,125,116,106,77,82,105,103,103,102,102,102,101,100,100,101
5,131,135,139,143,147,151,154,156,157,160,161,162,162,163,162,161,162,162,162,160,161,160,158,157,155,155,154,153,132,138,142,146,150,153,156,159,160,161,163,164,164,164,165,164,163,163,163,164,162,163,161,159,159,157,157,156,134,140,146,149,154,155,158,161,162,164,165,166,169,167,168,167,164,176,107,145,169,164,164,163,162,161,157,156,136,143,148,151,154,156,159,163,165,164,176,153,114,175,169,166,180,165,77,141,173,167,165,164,164,163,160,158,140,145,150,154,157,159,161,165,169,165,186,143,81,175,172,172,191,110,95,176,170,170,168,167,166,165,163,162,141,146,151,155,160,160,167,169,171,165,203,111,105,185,171,188,157,69,145,180,171,172,171,170,169,168,165,165,143,148,153,157,159,173,135,160,174,178,204,76,138,186,179,185,110,96,183,176,174,174,174,173,172,170,169,169,145,150,155,161,160,187,116,119,179,195,185,70,164,184,182,147,79,155,186,178,178,177,177,176,175,173,173,173,147,153,156,162,163,184,148,91,182,198,139,83,179,178,170,89,106,190,182,181,181,179,180,179,177,177,175,175,148,153,158,163,165,177,174,82,175,185,90,102,189,163,156,74,150,193,183,183,183,183,182,181,180,180,179,178,150,156,160,166,170,172,197,112,142,184,100,105,178,152,136,84,172,192,186,189,189,186,183,182,182,181,181,181,152,158,163,168,172,171,197,153,101,177,114,94,130,138,103,100,193,190,186,169,174,187,191,185,183,183,183,183,153,159,165,168,173,175,189,191,127,114,115,94,104,128,84,118,198,177,178,181,171,161,161,190,186,186,185,183,155,160,167,172,176,179,180,191,175,119,104,110,104,110,83,110,156,172,160,161,174,177,130,160,195,187,187,186,156,163,168,173,176,180,182,182,201,177,124,106,89,90,79,106,119,129,109,94,136,151,159,113,162,193,188,188,157,162,167,172,177,181,186,183,216,216,147,102,86,80,76,98,105,82,114,173,199,189,163,158,117,189,190,189,159,164,171,175,180,181,187,185,202,233,164,102,82,79,78,90,87,113,201,200,197,188,176,128,147,200,191,193,159,165,172,176,180,182,187,188,192,234,163,106,84,78,74,92,71,144,215,195,198,170,148,93,175,200,194,196,160,166,173,178,182,185,189,188,189,218,156,110,87,74,73,94,95,108,167,205,189,164,123,86,177,201,195,195,163,168,173,179,182,185,189,189,186,223,159,112,94,77,75,90,103,120,120,128,165,164,105,112,198,198,198,197,162,168,173,179,182,185,191,190,190,221,157,125,105,80,72,93,110,129,140,110,147,147,102,162,206,199,199,198,163,169,175,180,183,188,192,189,192,210,160,134,107,83,72,102,127,136,143,116,115,127,119,201,199,200,199,199,164,170,176,181,185,188,193,190,190,209,164,136,106,86,73,105,130,134,129,109,98,101,164,209,200,201,199,199,164,171,178,182,186,188,194,192,193,202,159,131,108,92,82,101,120,119,117,100,106,165,206,204,204,203,201,201,166,172,178,183,187,190,194,190,208,205,153,127,115,94,90,102,116,116,105,105,185,212,204,204,204,204,204,203,167,173,179,184,188,189,195,186,216,216,168,135,109,96,91,99,106,99,100,166,212,204,205,204,204,204,204,203,167,174,179,183,188,189,196,189,213,204,164,119,93,96,98,100,101,116,180,211,206,207,207,206,206,205,204,203,168,174,179,183,188,190,196,196,213,200,168,119,92,97,97,95,117,196,217,207,207,208,207,207,206,206,205,204
24,125,131,138,149,157,162,167,171,176,178,182,184,186,187,187,187,185,185,184,183,181,179,177,177,176,173,170,169,127,132,141,153,161,166,171,175,179,183,186,188,190,192,192,192,191,189,189,188,187,185,184,182,180,178,175,174,130,134,144,156,164,170,174,178,183,187,190,193,195,195,195,196,195,195,194,194,192,190,189,188,187,184,181,179,131,137,147,158,166,172,177,180,186,190,194,196,197,197,199,199,199,199,198,197,196,194,193,192,191,189,186,183,133,138,149,161,169,175,180,184,188,192,196,200,201,201,202,202,202,201,201,200,200,199,197,197,196,194,191,188,136,141,158,165,172,178,183,187,191,195,199,202,203,203,204,205,205,204,203,203,202,202,201,201,201,199,196,193,136,154,166,135,176,181,184,189,193,197,201,203,205,206,206,208,208,207,206,206,205,205,206,205,204,202,200,197,137,164,154,99,175,183,186,190,196,200,203,205,206,208,208,209,211,210,208,209,208,208,209,209,207,204,202,201,138,172,151,92,171,185,189,194,199,202,204,208,212,212,214,188,164,205,211,209,210,210,208,204,209,208,205,203,140,176,141,88,169,187,190,193,195,205,206,205,174,191,234,188,126,134,213,213,205,188,168,134,152,213,209,208,142,171,136,87,169,188,199,182,148,180,218,213,140,113,170,196,150,105,190,199,192,158,117,95,176,220,204,176,143,170,148,90,161,189,215,210,178,157,204,214,156,119,111,196,167,117,143,168,196,132,98,171,188,140,79,55,145,172,163,101,144,193,210,233,223,185,147,213,180,149,110,179,167,112,98,185,168,98,84,94,62,43,47,40,149,165,184,147,152,186,207,205,233,206,149,158,204,159,107,129,143,94,123,200,128,78,49,43,52,55,51,49,150,156,195,177,172,189,205,169,189,208,150,102,198,179,116,71,85,96,171,177,99,53,43,40,39,55,52,44,151,156,184,198,194,211,214,192,167,182,143,88,169,189,121,59,69,148,179,143,77,34,37,50,35,43,53,51,153,160,177,221,201,187,191,175,149,160,148,108,117,149,98,86,116,154,150,111,54,45,27,41,44,36,44,54,152,162,174,220,203,169,178,164,132,134,154,133,102,105,149,173,164,162,122,84,23,46,39,28,40,36,40,48,152,162,172,209,210,154,140,150,136,138,155,166,145,163,225,213,183,170,107,66,10,31,51,34,30,38,36,39,118,123,124,164,213,168,128,140,173,148,191,220,203,224,235,208,181,161,97,64,19,16,45,48,35,35,30,35,107,109,106,129,219,196,148,126,163,163,203,223,231,240,227,197,172,146,88,52,33,8,31,50,43,39,31,28,111,112,112,117,206,209,170,138,138,169,192,228,236,231,212,185,162,137,83,33,44,7,20,44,44,44,36,24,113,114,115,112,187,216,190,155,138,163,178,226,234,222,200,175,153,134,85,21,47,16,8,35,45,42,38,32,111,113,115,110,163,217,202,169,152,160,169,215,227,210,191,170,144,127,82,23,42,29,3,21,43,39,37,35,110,112,113,111,133,211,205,182,162,165,162,200,218,200,188,169,131,115,73,24,37,40,9,9,37,40,33,33,110,111,112,112,114,186,203,192,172,172,159,177,205,195,190,161,119,105,56,10,33,43,21,3,25,41,28,29,110,111,111,112,110,140,203,200,182,174,162,157,185,185,177,149,111,97,45,0,18,45,33,9,10,36,31,22,109,110,110,111,112,111,176,202,187,174,158,143,155,169,155,133,107,86,32,0,5,40,38,21,4,22,37,19
4,190,190,191,191,191,190,190,189,189,189,189,188,187,187,187,186,184,184,183,182,180,181,180,179,179,178,176,175,192,192,192,192,192,191,190,190,190,190,188,188,188,186,187,187,186,186,184,183,182,182,181,180,179,179,178,176,193,194,194,194,193,192,192,192,192,191,189,189,188,187,188,188,186,186,186,183,182,182,182,180,179,179,180,178,194,195,195,195,195,194,194,193,192,192,191,191,189,189,190,189,188,186,185,184,184,183,182,181,181,181,180,179,196,196,195,196,196,195,194,193,187,181,182,185,171,163,177,182,173,171,183,186,187,184,182,183,181,182,181,180,197,197,197,197,197,196,198,201,178,159,127,138,158,125,110,155,153,118,131,184,184,184,184,184,183,182,182,180,198,198,198,198,197,196,208,209,183,147,104,89,143,115,79,127,143,106,80,111,130,148,178,184,185,183,182,181,200,200,200,199,196,202,211,191,188,134,93,86,138,107,71,120,139,101,76,57,78,83,123,184,184,184,182,182,201,200,201,200,198,204,210,179,186,139,120,88,146,136,70,115,163,125,80,54,75,73,92,183,184,185,185,182,201,200,201,201,200,204,203,166,179,172,148,95,170,161,74,117,197,144,85,64,110,100,105,185,186,186,186,184,201,201,202,202,200,212,220,192,166,165,126,91,165,142,71,112,187,139,90,92,142,135,104,172,188,187,186,185,202,202,202,203,203,219,212,187,158,130,95,72,100,92,104,168,154,140,141,135,143,132,97,129,189,188,187,185,203,203,205,204,206,216,197,171,140,116,101,86,70,67,115,187,159,148,159,151,145,134,116,101,171,189,187,187,204,203,205,203,211,229,211,186,156,113,90,81,75,78,84,145,152,143,153,142,133,155,146,105,134,190,187,187,204,204,206,205,215,230,213,193,153,108,94,84,75,76,84,108,119,130,142,108,132,175,164,123,99,184,189,188,207,207,208,206,220,230,215,192,147,108,101,86,78,86,103,117,128,150,161,147,145,175,170,127,83,161,192,189,207,208,208,207,221,229,213,177,144,116,102,90,83,113,148,172,180,183,177,177,156,140,144,116,80,129,192,189,208,208,208,208,221,229,210,177,152,114,101,111,139,176,189,192,185,181,167,156,154,120,115,103,84,104,190,189,209,209,209,210,222,227,208,180,160,134,130,155,179,196,193,190,180,170,158,143,140,117,104,98,84,92,189,190,209,209,210,200,204,216,206,188,172,146,145,172,177,199,189,183,174,165,152,136,125,110,96,89,72,118,192,191,211,212,205,127,104,125,164,185,165,142,136,164,169,182,179,173,171,155,133,122,113,96,80,68,96,179,194,193,212,216,175,85,76,73,80,91,89,87,96,128,148,161,166,166,158,138,118,110,95,78,61,84,171,196,196,195,214,209,123,77,72,71,69,45,30,45,47,55,75,100,124,148,142,127,110,93,75,59,82,168,197,196,196,196,218,167,83,75,69,69,69,55,18,33,41,40,40,39,46,70,91,97,84,67,55,90,173,200,198,198,198,197,204,112,74,68,62,62,67,60,16,23,36,39,36,34,32,31,35,46,44,48,111,183,202,200,200,199,198,197,149,80,74,65,60,60,65,53,12,19,32,35,32,30,32,31,30,28,15,82,196,203,202,201,200,200,200,198,90,72,59,80,79,49,66,36,9,21,31,31,28,29,29,28,30,23,13,31,162,208,203,203,202,201,200,199,71,63,54,77,98,58,56,18,11,24,27,27,25,26,27,28,29,18,14,9,113,210,204,204,202,201,200,200
8,215,217,218,218,219,220,220,221,221,220,218,219,219,216,215,215,214,212,211,210,210,207,205,203,202,199,197,197,217,218,219,221,220,221,223,224,223,224,223,220,221,219,217,217,216,214,212,210,210,210,208,206,204,201,199,198,220,219,221,223,223,229,228,226,225,225,226,223,223,223,220,220,218,217,216,213,211,211,210,208,207,204,200,198,220,221,222,230,210,167,226,229,227,227,227,226,225,224,223,221,220,220,218,217,214,213,212,210,209,205,201,200,222,225,224,231,190,108,201,235,228,229,228,228,227,227,227,224,222,221,220,219,216,216,214,213,210,208,205,201,224,226,227,228,159,102,202,240,231,231,230,230,228,228,227,227,227,227,223,222,223,217,216,213,211,210,209,205,226,227,231,226,146,101,223,237,234,235,235,233,230,229,229,227,219,205,224,222,205,220,217,215,213,212,210,208,228,229,232,219,128,106,238,236,237,239,225,235,237,235,236,236,184,134,130,203,152,203,223,216,214,212,210,208,229,230,232,227,137,101,231,240,239,203,150,153,231,199,168,184,188,156,96,144,140,169,232,217,217,214,213,210,231,232,236,230,151,95,223,245,221,187,171,127,155,175,130,103,175,175,126,90,139,131,230,220,220,218,214,212,231,234,236,224,147,86,191,253,210,206,191,153,125,177,142,112,174,172,128,77,118,101,171,233,219,218,216,214,231,235,238,230,188,129,149,255,202,206,208,164,114,164,167,120,158,150,103,70,99,128,99,203,226,218,216,215,233,235,237,236,220,160,125,224,191,185,214,170,112,142,180,116,123,152,122,68,89,135,85,174,233,218,217,216,233,237,238,241,224,161,157,179,172,154,207,167,120,109,167,122,103,182,155,85,107,139,88,205,229,219,219,218,235,237,239,242,237,210,203,166,172,140,177,172,113,88,154,137,82,168,152,77,132,131,105,230,226,223,220,218,236,236,240,241,245,230,199,160,134,133,160,167,120,87,109,109,48,64,82,97,151,112,132,240,225,225,221,219,236,238,241,242,246,232,175,142,116,103,123,177,163,112,72,65,111,122,118,173,165,93,164,242,226,226,222,219,236,239,243,243,246,228,195,168,131,117,114,176,180,128,94,127,186,190,172,162,152,78,193,240,226,226,223,221,237,240,243,245,245,242,216,177,131,113,110,159,162,123,104,173,195,190,176,127,112,84,226,232,228,227,225,224,237,242,245,246,245,239,221,180,143,126,114,141,186,182,186,214,198,177,160,118,72,153,246,229,228,227,225,225,240,244,246,246,245,236,224,192,161,134,121,143,219,228,232,220,188,163,148,96,84,233,237,232,230,228,227,225,241,244,246,247,246,233,217,193,162,132,130,156,227,218,211,201,170,148,134,71,166,250,233,234,231,228,227,226,242,243,246,247,248,228,209,199,168,137,139,168,217,207,205,186,156,140,106,88,237,240,237,234,233,229,227,226,242,246,248,248,252,235,213,207,170,148,141,174,206,207,199,171,144,128,73,167,255,235,236,236,234,233,229,226,242,245,246,248,250,248,223,214,183,159,136,169,198,192,183,156,130,98,87,243,245,240,238,237,235,233,230,227,243,246,247,248,250,250,237,217,184,160,140,157,185,173,159,134,110,60,185,255,241,241,238,238,235,233,229,228,243,246,247,249,251,251,240,211,184,157,145,151,170,160,138,119,69,140,255,245,246,242,239,237,235,233,230,228,243,245,247,249,252,251,240,206,182,162,156,150,159,155,131,98,91,245,250,247,246,243,240,237,236,234,232,229
6,162,169,174,177,180,185,190,193,197,201,203,205,208,210,212,215,217,218,219,221,221,221,222,223,223,223,223,223,164,170,173,176,179,186,191,193,197,201,204,206,209,211,213,216,217,218,220,222,222,223,223,224,223,223,223,223,164,171,174,175,179,186,192,195,197,202,205,208,211,212,213,215,219,220,222,221,223,224,225,225,224,224,223,223,165,172,175,177,182,187,193,197,200,204,206,209,212,213,214,216,221,223,224,223,225,226,228,227,225,225,224,225,166,174,175,178,182,187,191,196,200,205,207,209,213,214,216,218,221,224,224,224,227,226,228,230,229,228,231,230,166,173,176,179,182,188,193,197,201,206,207,210,213,214,216,217,219,220,220,222,218,221,222,223,223,220,215,218,167,173,178,179,181,187,194,197,200,202,213,219,215,219,223,225,226,233,231,225,229,234,245,234,223,216,193,192,165,171,175,176,180,186,191,193,207,231,243,237,220,210,228,241,247,249,243,227,231,241,247,243,234,220,204,203,164,171,174,177,178,183,199,222,243,246,243,232,214,178,172,204,210,210,206,201,204,194,185,187,185,176,170,178,167,176,175,172,188,217,246,246,236,235,239,243,222,170,130,132,132,139,154,154,158,175,193,201,202,206,208,214,166,169,181,211,237,249,243,236,237,244,246,230,191,164,133,124,121,111,142,200,219,229,233,233,234,235,233,232,172,208,241,251,245,244,237,239,245,242,226,201,169,152,137,134,142,134,130,175,207,231,228,231,230,229,228,229,242,251,247,245,242,246,246,242,241,241,238,235,197,146,132,119,133,149,140,127,106,188,241,230,233,231,230,230,250,247,248,248,243,239,241,238,240,243,252,246,191,146,138,131,121,134,149,155,130,107,200,238,230,232,231,231,255,253,251,242,242,240,243,235,237,249,251,212,172,152,144,146,149,132,117,128,139,119,137,238,229,231,230,230,255,251,244,235,232,229,230,226,233,242,232,197,165,148,149,153,156,146,121,115,114,121,151,233,229,229,229,228,249,246,237,230,231,228,227,223,225,231,230,210,166,132,110,137,158,188,147,129,114,118,142,159,157,156,156,154,245,246,246,238,233,234,235,234,231,237,235,209,156,139,125,121,124,145,155,146,127,127,121,118,118,119,118,116,250,250,243,236,234,232,232,229,234,241,228,193,149,144,150,149,139,125,129,133,139,131,127,129,129,129,129,128,243,240,233,229,229,221,215,212,221,224,208,183,159,155,154,147,138,129,124,122,135,136,133,129,127,126,126,126,228,225,225,219,211,208,197,199,212,206,188,171,159,151,156,154,143,131,130,135,132,134,134,129,129,128,126,125,204,209,200,198,190,191,188,185,184,173,155,143,139,130,130,137,139,138,137,134,130,132,131,128,129,127,125,125,160,162,168,167,171,162,153,144,138,135,134,133,133,133,128,127,129,135,133,130,131,132,132,129,131,127,126,125,147,133,132,133,127,127,131,131,130,134,136,136,135,135,136,134,134,133,133,133,130,129,131,129,131,128,126,127,133,129,120,112,123,132,134,136,136,136,137,136,135,135,134,133,134,134,134,133,131,128,129,129,128,127,126,127,120,108,105,112,127,137,136,135,137,137,135,135,134,135,135,133,133,134,133,132,131,130,128,129,129,128,127,126,148,138,123,119,125,135,136,136,135,135,135,135,134,134,134,132,133,132,132,132,131,129,128,128,128,126,126,126,157,134,123,120,124,134,137,136,135,135,135,134,133,134,133,132,132,132,132,132,131,129,129,128,128,126,126,127
3,128,128,129,131,131,131,132,132,131,132,132,131,131,130,129,128,128,127,126,124,123,123,122,120,119,118,117,117,132,133,133,133,135,135,135,134,134,135,134,134,134,132,132,131,131,130,128,127,126,124,122,122,121,120,118,117,136,137,136,137,139,139,138,138,137,138,137,136,136,135,133,139,119,120,133,129,128,126,125,124,123,121,120,119,139,140,140,141,142,142,142,141,141,141,141,140,139,139,136,145,110,89,140,132,131,129,128,127,125,124,122,121,144,144,144,145,145,145,145,145,145,145,144,144,143,141,141,144,115,76,137,136,134,133,133,130,128,127,125,123,147,148,147,148,148,148,148,148,149,148,147,146,145,144,143,146,115,67,135,139,137,135,134,133,130,128,127,125,150,150,151,151,151,152,151,151,151,151,151,150,148,147,147,147,116,66,135,144,140,139,137,136,134,132,130,128,154,153,153,153,154,154,154,154,155,155,154,153,152,151,149,154,126,68,130,148,142,142,140,138,136,135,133,132,156,156,157,157,158,157,157,156,157,157,157,156,155,154,151,157,119,62,133,149,145,145,143,141,139,137,136,134,159,159,159,160,160,160,160,159,159,158,159,158,157,157,155,149,115,72,134,152,147,146,145,143,141,140,137,136,162,162,162,163,162,163,163,162,162,161,161,161,159,158,156,149,119,75,124,157,148,148,147,146,144,142,140,138,164,164,164,164,164,164,163,164,164,164,164,163,161,161,160,163,120,60,115,161,150,151,149,148,146,144,142,140,165,166,166,166,166,166,165,166,166,166,165,167,167,161,146,135,142,96,108,171,153,152,151,149,148,146,144,143,167,168,168,168,168,168,168,168,167,167,168,155,145,159,130,70,124,132,75,125,154,157,152,152,150,147,146,144,168,169,169,169,169,170,170,169,170,168,162,138,87,126,139,84,87,123,71,62,85,149,157,153,152,149,147,145,170,170,168,170,171,170,171,172,172,165,156,139,113,96,143,107,66,111,94,78,61,118,164,153,153,152,150,147,170,171,171,172,172,172,173,173,168,158,118,114,130,95,120,114,61,66,95,84,51,106,167,155,155,153,152,149,172,173,173,173,173,172,174,175,164,153,124,78,110,81,88,120,64,59,93,114,63,89,168,156,156,154,152,150,173,173,174,174,174,175,175,175,166,150,121,73,86,53,80,97,48,68,87,135,89,71,163,158,157,156,153,152,174,174,175,175,175,176,175,176,170,147,135,108,72,60,92,79,52,105,135,133,93,70,166,161,158,156,155,153,175,175,175,176,176,176,177,178,173,149,147,121,85,83,106,93,112,162,140,113,60,117,171,161,160,159,156,155,176,176,177,177,177,178,179,179,176,146,146,129,100,85,110,156,163,152,117,83,66,165,166,163,161,159,157,156,176,177,178,179,179,178,179,179,181,148,132,123,102,90,102,152,144,129,98,58,101,177,163,164,163,161,158,156,175,176,176,177,178,179,179,178,182,161,124,125,110,100,99,138,135,112,76,53,151,172,166,165,163,161,158,155,174,177,176,177,178,179,179,179,179,177,133,123,121,106,88,112,109,85,47,119,176,166,166,163,161,159,162,162,175,177,178,178,179,180,179,179,180,178,151,134,122,96,78,85,81,45,99,179,166,166,164,165,168,164,143,106,177,178,178,179,179,179,180,180,182,166,152,146,122,100,88,83,72,60,168,173,173,173,169,157,119,84,54,39,176,177,178,178,178,180,180,180,182,156,143,150,130,119,102,87,53,100,182,167,148,119,95,69,46,43,38,38
21,188,190,193,198,200,202,201,203,204,208,208,205,207,206,206,208,207,207,206,205,205,205,205,203,201,201,199,198,191,192,196,198,200,202,205,206,207,207,206,208,207,208,210,211,209,208,208,207,208,207,205,205,204,202,201,200,192,195,197,200,203,205,207,207,208,206,244,210,181,214,213,213,213,211,211,210,210,209,208,207,206,205,204,203,195,198,200,203,206,206,208,209,211,209,255,237,156,200,218,214,214,214,215,215,214,212,212,213,209,208,207,205,197,200,203,206,208,210,210,214,216,209,231,255,168,169,222,215,217,217,217,216,215,215,216,201,212,210,210,206,199,202,205,208,210,214,214,215,216,215,216,255,225,170,210,218,219,220,219,220,214,231,220,142,206,215,213,211,201,203,206,210,213,215,215,216,217,219,212,255,255,182,185,226,221,222,221,223,215,250,205,132,211,217,215,214,203,206,209,213,217,218,217,220,220,222,218,244,255,194,163,224,224,222,224,219,232,255,179,155,225,216,217,216,204,206,211,214,217,219,220,221,222,223,223,228,255,217,161,214,227,224,225,221,254,245,160,187,229,219,219,217,207,209,213,215,218,220,221,222,223,225,224,247,255,237,157,195,234,227,224,232,252,214,141,212,225,222,222,220,208,211,215,217,220,223,223,223,223,219,239,255,254,234,165,138,228,231,225,254,247,174,156,233,223,223,223,220,210,214,216,220,222,223,224,226,225,247,248,250,255,231,199,160,187,234,238,255,238,150,202,234,225,225,225,222,212,215,219,222,223,224,226,229,232,255,251,222,255,254,244,239,174,176,223,231,192,149,234,229,229,227,225,223,215,218,221,223,224,227,231,226,244,249,253,236,183,187,255,248,184,124,168,184,139,185,241,230,232,230,227,225,216,220,224,224,229,231,234,227,249,253,186,161,113,102,196,255,203,136,130,145,125,222,236,231,232,231,229,228,217,222,224,226,230,232,235,229,255,239,186,187,151,129,144,255,238,164,116,118,140,240,234,234,232,232,230,229,219,223,225,229,231,233,235,230,255,255,238,198,154,161,149,247,255,189,124,100,164,247,236,237,235,234,232,231,221,223,227,230,233,234,236,233,255,255,208,175,158,183,183,255,255,215,149,96,172,248,236,237,237,236,235,234,223,226,229,230,233,235,238,238,255,253,201,185,192,202,220,255,255,223,167,109,170,251,237,239,238,237,235,236,223,227,230,232,235,237,239,239,255,255,226,212,210,215,255,255,255,218,171,108,173,253,238,241,240,239,238,237,223,227,231,232,234,236,239,238,255,255,240,212,225,234,255,255,255,209,176,114,172,255,240,243,242,241,240,238,223,228,231,232,234,237,241,237,255,255,249,218,226,248,255,255,255,209,171,113,183,254,240,242,241,240,239,238,225,228,231,233,236,239,241,237,255,255,250,237,230,255,255,255,252,204,166,111,191,255,240,242,243,241,239,237,226,229,231,235,238,240,243,240,255,255,255,255,247,255,255,255,243,204,158,108,188,255,243,245,245,245,241,241,226,229,231,237,239,240,243,242,254,255,255,255,255,255,255,250,231,197,146,102,189,255,244,247,245,244,246,238,226,230,233,238,241,244,246,246,245,255,255,255,255,243,255,228,214,194,139,98,200,255,246,249,251,255,245,160,229,234,237,242,243,246,248,249,247,255,255,255,236,216,231,219,207,199,130,98,232,255,249,253,246,194,135,100,205,212,217,220,223,226,230,238,219,232,255,251,213,188,207,222,200,187,106,120,255,249,253,244,159,108,102,94
6,207,207,208,208,209,209,210,211,211,211,211,210,210,209,209,209,207,207,207,207,205,203,203,203,202,200,198,199,208,209,210,210,210,210,212,212,212,212,212,212,212,212,212,212,210,209,207,208,207,205,204,203,202,202,200,199,209,211,212,212,212,212,212,213,214,214,215,215,215,215,215,214,213,211,209,209,208,207,205,204,202,202,201,199,210,211,213,213,214,214,214,214,216,216,216,215,215,215,216,215,214,213,211,210,210,208,207,206,204,204,203,202,212,213,214,216,216,215,215,215,216,216,215,216,217,217,216,216,215,215,214,213,212,210,209,208,207,206,204,203,215,215,216,217,218,217,216,216,216,216,216,216,218,217,217,216,216,215,215,214,213,213,211,210,209,207,205,205,215,216,217,217,217,218,218,218,218,217,217,218,219,219,219,218,217,217,215,215,214,213,212,210,209,207,207,207,218,219,219,219,219,219,220,220,219,219,219,221,221,222,222,221,219,219,217,216,216,215,213,212,209,208,208,207,219,219,219,221,221,221,222,224,223,222,216,214,219,220,219,218,219,218,218,211,213,209,210,206,206,223,213,206,220,221,222,222,224,226,227,228,225,218,202,187,202,214,219,217,219,214,207,206,208,205,207,203,206,224,198,204,223,224,226,226,226,222,218,219,221,218,208,173,162,187,198,200,198,194,189,187,184,184,183,182,179,181,191,211,224,221,220,220,219,213,211,214,215,214,209,173,137,132,133,148,157,163,166,168,175,182,187,189,193,204,214,214,217,213,212,211,208,204,204,201,197,192,180,154,138,133,123,147,193,209,214,216,218,220,221,219,218,219,217,215,216,208,202,197,196,198,198,193,191,196,191,154,131,132,142,143,169,213,227,225,224,223,222,221,211,191,178,177,213,204,194,190,191,192,195,195,199,209,208,165,131,121,135,144,139,151,207,226,225,224,224,215,162,133,128,126,211,202,192,184,181,184,191,197,202,202,189,165,144,138,134,133,137,135,168,227,226,224,226,185,131,129,126,122,212,205,196,188,183,183,185,189,201,203,176,150,146,150,149,140,132,128,171,225,225,225,212,155,125,119,117,116,209,205,199,192,188,187,185,184,191,202,185,147,124,140,158,158,142,129,194,227,223,212,152,123,108,95,87,77,203,204,202,197,191,190,190,190,198,204,179,149,136,133,139,150,152,138,171,185,164,142,115,107,95,82,73,66,188,203,207,204,197,193,191,189,192,197,180,157,150,152,144,136,138,135,130,129,123,112,102,93,85,76,68,66,125,180,205,202,197,195,189,184,177,175,169,158,164,165,157,150,134,110,104,114,115,107,100,91,80,73,65,62,61,98,168,186,179,175,170,168,167,154,139,125,140,154,162,155,131,97,82,99,103,97,95,95,87,73,63,60,53,54,85,165,192,195,200,206,215,207,138,121,123,140,147,131,125,99,77,79,93,91,88,93,93,77,65,58,43,39,104,188,201,202,204,206,208,209,189,168,159,149,123,101,121,97,71,66,79,85,83,88,94,84,67,58,35,40,112,136,136,137,139,140,142,144,145,145,154,145,104,90,117,95,66,64,71,76,78,83,91,87,68,59,36,39,109,129,128,127,128,128,129,127,127,136,143,131,94,83,109,88,64,62,69,71,72,76,84,85,71,60,37,40,120,134,133,133,133,130,130,132,136,130,114,106,92,78,103,83,64,56,64,67,69,72,78,83,76,63,28,52,131,135,135,134,135,135,135,130,122,110,105,94,88,78,97,79,63,57,59,62,65,69,75,80,77,65
0,180,181,181,181,180,180,180,180,179,178,177,178,177,176,175,174,174,173,171,171,170,168,168,166,166,165,163,162,181,182,181,182,182,181,181,181,180,179,178,179,178,178,177,176,175,174,174,173,171,169,168,166,165,165,164,164,181,182,182,182,183,183,183,182,181,180,179,179,179,179,178,177,175,174,173,172,172,171,169,168,166,166,165,164,183,184,184,184,184,184,184,184,183,181,181,180,181,181,179,179,178,176,173,173,172,172,171,170,168,167,165,164,183,185,185,186,185,185,183,182,183,184,181,168,143,151,180,164,150,164,178,175,174,174,171,172,170,168,166,165,185,186,186,187,186,184,183,175,158,166,176,152,121,96,135,137,111,94,154,149,139,159,174,166,168,169,168,167,187,187,186,186,186,185,183,167,139,119,144,160,122,94,103,144,116,87,87,121,96,81,147,140,138,172,168,166,187,187,187,187,186,186,185,180,157,132,106,157,130,103,100,150,123,92,89,133,110,69,88,135,109,174,168,167,188,188,188,187,186,189,182,174,163,140,94,144,135,106,100,150,125,93,79,129,112,73,64,124,101,167,171,168,189,188,188,188,187,191,178,143,164,124,84,144,131,99,94,141,116,84,65,111,96,66,60,122,91,138,175,170,189,189,189,189,188,187,154,119,159,108,81,137,112,80,87,129,105,73,70,125,104,57,65,128,112,94,164,172,189,189,189,190,190,187,166,140,157,117,94,131,112,76,87,130,104,65,104,145,111,49,72,129,121,84,123,177,190,191,190,190,192,183,161,138,140,124,97,136,128,79,103,145,116,69,127,146,88,45,110,139,121,76,111,176,190,192,192,191,187,161,134,118,104,92,86,144,126,76,109,148,119,70,47,71,41,79,142,142,108,65,149,173,192,192,193,192,187,165,137,112,86,76,73,102,104,71,66,106,92,66,70,44,63,135,146,128,80,99,176,172,193,192,193,190,182,163,140,112,91,88,91,87,93,89,77,82,113,140,143,129,116,139,131,103,64,155,176,172,194,193,194,189,181,166,144,118,94,86,92,99,115,127,132,147,156,150,140,138,114,118,116,72,92,179,174,174,194,194,195,192,184,168,147,126,103,93,95,109,137,151,160,163,157,145,135,128,104,96,96,54,145,179,175,174,194,194,194,192,186,168,151,132,113,110,100,134,164,165,166,162,153,139,131,123,95,78,64,85,180,179,177,174,194,195,194,192,189,173,156,140,127,124,129,161,171,169,168,160,148,135,124,110,81,57,65,163,180,178,178,175,195,195,194,192,190,175,160,147,137,132,156,166,171,172,166,151,141,127,113,93,60,57,157,182,179,178,177,177,194,196,195,190,187,179,166,152,139,137,165,167,172,170,158,140,128,117,98,70,50,149,184,180,180,180,178,176,195,196,195,189,185,181,169,156,140,136,163,168,165,159,144,127,114,102,76,49,139,187,181,181,180,181,179,178,196,197,197,192,185,183,173,164,150,138,159,165,154,145,131,114,97,72,48,130,189,184,183,182,180,181,179,178,195,195,198,194,189,179,173,166,157,144,157,156,144,130,120,100,71,47,127,189,185,185,183,182,181,180,179,179,195,195,197,193,186,177,182,177,166,151,152,147,129,118,106,75,47,133,192,187,186,186,184,183,182,180,179,179,196,196,197,191,187,176,184,178,161,148,143,138,118,100,84,54,136,194,189,188,188,187,185,184,182,181,180,179,197,197,195,188,182,169,180,168,155,147,138,123,108,89,61,98,194,191,189,188,188,186,185,184,182,182,182,180
4,198,200,202,202,202,204,205,205,207,207,207,207,208,207,207,208,208,207,206,206,206,207,207,207,207,206,205,203,199,201,202,203,203,206,207,207,208,208,208,208,209,209,209,208,208,208,207,208,207,207,207,208,208,208,207,206,200,202,204,204,204,207,208,208,209,209,208,209,209,210,209,209,209,211,209,209,209,209,209,210,210,209,209,208,203,203,205,207,207,209,209,209,210,210,210,209,209,210,209,213,214,213,210,212,212,212,212,212,212,211,210,209,204,205,207,207,209,210,210,210,211,210,210,215,236,239,217,215,245,233,191,194,211,211,216,214,214,213,211,209,205,207,207,208,209,210,211,212,211,219,233,232,213,242,222,164,197,220,181,137,208,202,186,215,214,213,212,212,208,208,209,210,209,212,213,211,223,253,254,217,155,189,203,148,148,197,151,152,240,200,136,194,217,214,214,214,208,209,211,213,213,213,214,211,243,251,250,215,149,165,213,140,117,205,163,212,241,191,126,193,220,217,217,216,209,210,212,215,215,214,216,211,246,239,225,230,187,136,211,151,137,213,225,250,235,216,146,197,222,219,218,216,210,212,214,216,216,215,217,212,247,238,211,207,167,93,158,225,218,222,231,222,224,236,192,182,223,218,217,218,211,214,215,217,217,216,217,220,253,247,218,185,146,110,102,191,192,197,203,181,233,251,230,172,211,222,220,220,212,214,216,218,219,219,217,229,255,240,199,169,157,140,130,135,136,158,157,141,246,255,244,196,175,226,221,220,214,216,217,219,219,222,219,235,255,241,203,166,142,138,143,149,134,159,138,170,248,252,241,207,154,215,223,222,216,217,218,220,221,222,219,241,255,244,208,169,148,140,149,160,166,195,205,252,251,242,220,187,149,193,228,224,217,217,219,221,223,223,219,245,255,245,217,183,154,143,155,175,182,215,250,255,249,234,203,168,143,194,229,224,218,220,222,223,223,225,221,245,255,247,228,199,161,145,154,178,207,244,255,254,245,225,191,157,141,213,227,224,219,221,223,223,224,225,221,245,255,250,236,206,177,159,160,189,239,255,255,252,236,211,176,145,154,229,227,226,219,221,223,223,225,226,222,244,255,253,242,215,200,175,182,207,249,254,254,246,224,194,162,136,181,234,228,228,222,222,223,224,226,227,224,240,255,254,248,224,213,201,190,211,239,255,248,232,209,179,148,132,212,233,229,229,222,223,224,225,226,227,228,237,255,255,253,234,223,211,193,196,229,253,232,217,196,162,138,147,232,232,230,229,223,224,226,228,229,230,227,226,249,250,246,233,219,202,192,190,212,239,215,197,182,150,126,186,237,232,231,229,225,225,226,215,196,181,165,154,155,153,141,131,125,128,134,145,169,195,193,185,169,141,127,226,236,234,233,232,225,228,185,164,152,147,141,136,127,116,106,93,86,82,69,65,78,85,98,121,142,120,165,239,235,234,233,231,226,229,168,151,151,146,141,137,124,115,103,93,89,81,67,67,72,68,60,55,66,88,219,240,235,234,233,232,226,233,185,146,147,143,140,135,117,107,99,90,88,77,70,69,74,65,58,57,55,49,123,240,236,235,235,235,228,234,202,148,146,140,139,129,116,104,97,89,85,76,70,70,71,63,56,53,54,54,42,193,243,236,238,237,229,233,212,153,144,143,139,129,113,105,96,87,82,77,70,70,67,61,54,52,53,52,61,217,241,237,237,237,229,233,218,150,143,147,133,123,111,103,93,85,79,76,71,69,65,59,53,50,55,42,145,250,238,238,238,238
21,103,113,129,147,157,166,172,177,181,183,186,194,196,199,201,204,205,208,210,210,211,211,212,213,212,212,213,212,105,116,133,149,159,168,174,176,184,215,145,156,204,199,203,206,208,209,211,212,214,214,215,215,215,215,215,214,106,115,136,152,162,170,176,178,193,231,132,132,209,199,206,209,210,212,211,215,215,216,217,217,217,217,217,217,108,116,137,154,163,171,177,181,193,227,145,127,206,203,207,211,213,213,213,216,220,220,219,220,219,219,220,218,111,119,139,156,165,173,179,182,193,220,151,121,202,206,209,211,214,216,218,214,180,211,224,222,222,221,220,221,112,123,142,156,169,175,179,185,193,222,167,122,198,210,210,214,217,216,223,194,121,181,232,223,224,224,224,224,114,125,145,158,170,177,183,188,193,221,176,122,187,215,213,217,219,224,218,172,125,213,230,224,226,227,227,226,116,127,146,160,170,179,186,191,190,220,179,122,167,220,214,218,219,230,204,144,153,238,225,227,227,228,227,226,115,128,149,161,170,179,186,191,191,233,188,126,158,222,214,217,225,224,185,130,205,235,229,230,230,229,228,228,117,129,153,164,171,179,186,192,192,244,198,139,159,222,215,220,223,201,155,149,236,229,232,232,232,230,230,229,118,133,153,163,174,181,186,191,191,227,183,136,150,225,216,226,222,192,123,195,238,230,233,233,233,233,233,231,119,134,154,165,175,181,193,211,171,195,157,122,145,226,215,223,220,165,140,235,232,232,234,234,234,234,234,234,120,137,156,167,176,174,222,255,172,149,125,108,140,206,206,215,202,125,193,242,233,235,235,235,235,235,235,235,122,139,158,168,178,177,214,224,166,118,101,109,149,193,201,195,148,133,237,233,234,236,236,236,236,237,236,235,121,141,159,169,172,209,236,177,157,125,88,97,133,173,178,159,111,189,243,233,235,236,237,237,237,237,237,236,123,143,159,168,177,255,229,209,179,165,106,89,122,143,159,136,127,233,234,236,237,238,238,238,238,237,238,237,125,144,162,166,202,228,219,243,229,185,124,95,111,124,141,111,172,243,233,237,238,239,238,238,239,238,238,239,127,148,162,165,221,204,213,238,236,158,113,102,101,118,119,100,208,241,236,238,239,239,238,238,240,240,239,239,128,147,161,171,236,193,171,150,184,151,122,109,102,101,108,103,212,242,236,240,240,241,242,242,241,240,239,239,129,150,160,182,230,168,153,150,166,164,133,109,102,103,104,99,208,244,237,241,242,242,244,244,243,242,242,241,131,152,157,194,237,195,190,160,162,203,143,120,111,105,100,100,214,244,240,241,242,242,244,244,244,243,243,242,134,153,156,199,233,212,186,156,237,253,161,145,125,100,99,103,223,242,240,242,243,243,244,244,244,243,243,243,135,153,157,199,248,215,173,183,255,228,173,147,129,100,95,119,235,239,241,243,244,244,244,245,245,244,244,244,136,154,159,196,241,189,178,193,245,195,160,137,130,108,90,143,245,238,241,243,244,244,245,246,246,246,245,245,138,154,163,187,222,184,196,185,230,188,171,134,120,108,87,165,247,237,242,243,244,245,246,247,247,247,246,245,139,153,163,181,204,204,215,185,231,188,171,154,112,104,90,180,249,237,243,245,246,247,248,247,247,248,247,246,137,150,163,173,203,229,195,179,230,179,151,139,109,99,95,205,242,237,242,245,244,244,245,246,246,246,246,246,136,149,163,170,195,223,196,168,200,162,130,114,102,93,102,219,237,236,240,240,242,244,245,246,246,246,246,246
7,176,176,176,176,176,176,176,176,175,175,173,172,171,170,170,168,167,165,164,163,162,162,160,159,157,154,153,152,179,178,179,177,178,178,178,177,177,177,176,175,173,172,171,171,169,169,167,165,164,163,162,160,159,157,154,155,179,180,180,179,180,181,180,180,179,178,177,176,174,174,174,173,172,170,169,167,166,164,163,161,160,158,156,155,181,181,181,181,182,182,181,181,180,179,178,177,177,176,175,174,174,173,170,169,168,167,165,164,162,160,157,157,182,182,182,183,183,184,183,182,181,181,181,180,179,177,176,175,175,174,173,171,170,169,166,165,164,161,160,158,184,183,183,183,184,185,184,183,182,182,182,182,181,179,179,177,176,175,174,172,171,171,169,167,165,164,162,160,185,185,184,186,185,185,186,186,184,183,182,182,181,181,180,179,178,176,175,175,172,170,170,168,166,165,163,162,186,186,186,187,186,185,186,187,186,184,183,182,182,182,181,179,179,177,177,175,175,174,173,172,168,165,164,163,187,187,187,187,187,187,187,187,186,185,185,184,185,185,185,184,181,182,179,176,173,169,167,164,167,169,165,164,188,188,188,188,189,188,188,190,191,189,185,184,179,172,164,155,147,133,130,133,134,115,120,146,139,162,169,166,189,189,189,189,188,190,189,176,156,141,134,130,130,125,117,114,118,97,103,108,104,103,109,138,116,154,171,167,190,190,189,191,193,183,164,146,130,104,109,115,116,118,116,117,98,94,88,88,86,90,76,93,129,167,174,169,191,190,192,190,169,154,152,147,129,99,94,94,94,97,100,103,101,108,102,81,87,84,80,84,89,96,146,173,190,194,184,154,144,147,148,139,131,119,107,106,108,116,119,118,120,115,106,73,80,85,74,71,62,79,102,174,196,179,148,145,146,146,139,139,141,131,118,115,114,122,114,110,105,98,83,62,61,63,61,63,62,72,128,174,174,152,151,149,147,143,142,148,137,119,84,78,89,92,83,80,85,87,90,104,125,138,149,152,156,161,172,169,147,155,156,150,147,148,147,131,121,99,62,66,70,54,119,165,165,177,184,187,188,186,185,184,178,176,176,177,150,155,153,150,149,144,127,116,114,93,74,58,54,55,60,161,196,186,184,181,179,178,177,174,175,178,161,136,150,149,153,155,148,132,118,108,108,116,113,71,50,58,37,115,197,183,186,183,179,179,181,183,173,114,74,63,148,151,156,150,133,112,105,103,105,117,104,62,53,46,70,180,188,185,184,187,189,183,165,126,84,55,51,57,149,151,147,131,113,103,100,96,94,97,71,52,38,60,177,193,188,189,192,172,140,105,73,55,51,56,48,53,148,140,123,115,112,107,106,95,78,76,70,58,40,78,204,182,177,176,146,87,61,53,56,56,56,57,46,46,130,119,116,113,106,97,85,73,67,80,83,59,42,111,132,80,76,73,60,56,67,54,48,53,54,56,44,40,121,120,114,98,83,77,72,73,77,84,68,52,66,78,45,44,52,43,55,47,50,55,34,44,52,55,42,39,120,114,100,88,84,82,77,72,69,61,59,70,68,63,56,35,52,41,46,42,44,46,31,39,49,52,38,41,105,91,84,86,83,79,69,62,64,66,68,62,55,50,51,34,39,42,36,38,42,37,28,35,49,48,34,41,71,59,65,68,70,69,75,80,64,65,57,52,46,49,45,39,28,40,32,35,39,31,29,35,47,46,31,41,53,86,99,97,95,99,100,81,54,46,52,52,41,44,40,40,23,32,33,33,40,29,30,37,46,44,29,45
24,185,188,189,189,190,190,191,191,191,192,192,193,193,193,193,192,192,192,192,192,191,190,189,189,138,75,64,57,189,190,191,191,192,193,193,194,194,194,195,195,194,194,194,195,194,195,194,194,194,193,192,192,131,64,70,71,190,191,193,193,194,195,196,196,196,196,197,197,197,197,197,196,196,197,197,197,196,195,193,198,153,71,78,85,191,193,194,195,196,197,197,198,198,199,199,199,199,199,199,200,200,200,199,199,198,197,195,196,189,91,77,79,193,194,195,197,197,198,200,199,200,201,200,201,201,201,201,201,201,201,200,200,200,199,198,194,201,136,71,69,195,196,197,198,200,199,201,202,201,201,201,202,202,202,202,202,203,203,203,202,201,201,201,198,202,178,77,62,196,198,199,199,200,201,202,202,202,203,203,202,203,204,204,204,205,205,204,204,204,201,202,202,199,204,97,55,196,199,200,200,205,204,202,203,204,205,204,205,205,206,206,205,206,207,205,206,206,204,203,203,201,207,155,137,198,199,201,203,181,200,206,205,206,205,205,206,206,206,206,207,206,207,207,207,206,206,205,205,202,208,160,176,199,200,201,206,155,164,213,204,206,206,207,206,206,207,208,207,208,208,208,207,207,207,206,206,204,208,169,196,200,202,203,204,167,126,204,206,207,207,207,207,208,208,208,208,209,209,210,212,208,208,207,207,206,206,196,176,201,202,204,207,188,124,163,216,206,208,208,208,209,211,210,210,213,216,198,192,212,208,208,208,208,207,211,173,202,203,205,206,199,162,124,201,213,208,210,211,208,201,209,214,186,212,200,141,179,217,209,208,206,199,183,173,202,205,206,206,207,191,138,142,213,211,208,212,214,176,182,220,154,152,212,149,146,218,209,207,208,187,146,128,202,205,206,206,208,201,176,147,165,215,208,213,227,202,170,191,176,137,208,164,150,217,209,211,214,163,124,139,201,204,205,205,206,206,192,171,151,179,211,211,224,227,181,154,200,144,190,176,155,219,204,219,196,125,166,213,202,203,205,206,206,207,203,185,173,186,190,199,192,227,198,142,178,161,179,191,141,182,190,213,158,137,213,205,202,204,206,207,207,208,209,205,206,204,180,172,161,193,209,153,134,168,176,202,132,135,196,187,134,189,212,205,201,203,205,205,206,207,208,210,220,194,172,156,136,145,201,163,114,179,168,213,150,158,193,153,148,216,207,207,207,209,212,212,213,213,215,213,219,218,195,158,142,150,172,178,122,177,177,151,168,185,179,126,171,216,207,208,161,166,167,171,175,178,182,184,187,223,224,203,156,143,165,181,144,151,195,148,217,184,161,133,211,219,214,210,116,116,116,119,119,117,120,121,112,204,233,226,206,151,155,191,183,168,197,212,203,162,149,128,153,150,159,180,125,124,125,126,124,124,124,127,115,169,237,216,224,184,154,165,222,233,236,220,181,154,135,124,144,173,193,211,125,122,123,122,123,125,124,125,123,132,216,213,225,209,172,155,182,231,225,198,174,140,131,206,223,218,215,219,123,122,122,122,122,124,124,125,127,120,165,226,229,217,182,162,164,213,212,185,167,124,155,202,195,211,208,207,122,123,124,122,123,123,123,124,126,125,123,211,215,196,166,152,159,185,192,170,141,121,196,194,172,186,199,200,121,121,122,123,123,124,123,123,124,127,116,181,209,172,167,161,162,174,180,158,124,131,189,206,163,153,178,196,121,121,122,122,123,126,122,122,123,126,117,162,215,191,191,180,171,175,178,150,115,139,184,201,173,144,173,187
23,154,157,160,163,167,169,172,174,175,176,176,175,175,176,175,174,174,173,172,171,169,169,169,168,167,170,177,183,157,160,164,167,170,174,176,177,179,179,180,180,179,179,179,178,178,176,175,173,172,172,171,170,169,168,160,152,160,164,168,171,175,179,181,182,184,185,185,185,184,185,186,185,179,176,178,177,176,176,176,174,173,171,158,127,164,168,172,176,179,183,186,188,189,190,191,194,195,202,210,206,186,167,171,177,180,180,180,178,176,176,170,147,168,171,176,180,183,187,190,192,194,195,201,215,216,217,219,205,191,178,172,168,170,183,184,182,180,179,177,172,171,174,179,182,186,190,193,196,198,200,212,224,207,181,171,156,160,166,158,145,156,185,188,186,184,183,182,180,173,177,181,185,189,193,197,199,201,205,221,220,193,138,139,160,175,169,157,157,178,192,192,190,188,187,185,184,176,180,183,188,192,196,199,202,204,211,227,219,197,164,167,173,197,200,196,196,198,198,197,196,193,191,189,188,178,182,185,190,194,198,202,205,207,216,227,222,222,215,185,140,181,207,206,204,204,202,201,200,198,195,193,192,180,184,188,192,196,200,204,207,210,221,231,234,236,223,183,138,175,198,203,206,207,206,205,204,203,200,198,193,182,186,190,194,199,202,206,209,213,228,238,233,220,207,178,172,199,172,161,175,190,206,209,208,206,204,196,162,184,188,192,196,201,205,208,214,223,230,227,212,199,201,189,189,199,157,110,102,125,176,209,211,209,207,178,110,186,190,194,198,203,208,215,225,229,224,217,214,215,217,206,179,164,144,101,83,91,141,206,213,212,204,144,85,187,192,196,200,205,217,223,225,224,223,227,228,223,213,194,156,117,121,105,90,91,137,207,214,210,185,111,75,189,193,198,202,209,224,220,214,210,211,216,215,204,190,174,138,89,81,91,93,94,138,195,182,158,124,83,72,191,195,200,204,213,229,221,205,200,204,207,205,197,187,171,133,86,65,85,101,99,106,118,99,79,70,68,68,193,196,200,205,213,226,220,208,206,210,211,202,186,173,156,121,85,69,96,116,104,72,59,62,59,62,64,64,194,197,201,206,211,218,220,217,214,207,197,168,143,141,136,112,83,69,90,113,103,68,49,48,50,59,61,59,194,198,202,207,211,215,219,218,211,190,163,126,94,105,128,109,79,75,92,105,91,62,52,49,47,51,54,53,196,200,204,208,212,212,214,221,212,171,131,98,79,101,126,101,75,81,95,98,78,58,51,49,49,48,48,49,196,199,204,208,211,209,210,222,203,145,104,76,73,93,96,81,82,93,96,89,67,57,53,45,44,47,48,51,196,199,204,208,211,207,207,217,190,139,104,75,58,62,71,82,96,104,100,79,53,52,55,47,38,40,44,51,196,200,205,209,210,205,208,217,189,142,111,82,61,66,86,101,110,110,99,70,44,45,53,52,41,35,39,43,197,201,205,209,211,204,212,220,194,149,118,92,75,77,99,111,114,109,90,60,42,42,48,53,46,35,35,36,195,199,203,208,210,204,211,216,194,155,124,103,85,81,95,111,115,106,77,48,41,41,43,48,49,39,33,34,163,167,172,177,180,184,205,211,190,155,128,112,93,85,90,107,113,98,63,40,40,38,38,42,45,42,31,29,122,124,126,128,128,147,196,202,180,149,131,122,98,89,91,102,102,76,54,43,40,36,33,37,40,41,33,26,120,121,121,122,116,133,192,193,168,142,137,127,99,91,91,97,78,51,48,46,43,38,31,33,37,38,34,24
14,121,125,129,133,137,139,141,143,147,147,147,150,151,151,152,152,152,151,152,152,151,151,151,149,149,149,147,147,121,126,130,134,138,141,142,144,146,146,149,150,151,153,154,153,153,153,153,153,152,152,151,151,150,150,149,148,122,127,132,136,140,140,143,146,148,149,151,152,153,153,154,156,156,154,154,153,153,153,152,151,151,151,150,149,123,129,134,137,140,142,144,147,149,151,153,153,154,156,155,158,157,156,156,154,154,154,153,153,153,153,152,151,125,130,135,138,140,144,146,149,151,151,153,155,155,156,162,155,157,157,155,158,158,154,155,154,154,153,152,152,125,129,134,139,142,145,146,150,152,153,155,158,152,185,202,183,185,175,150,136,147,160,153,155,156,154,153,152,125,132,137,140,144,145,147,152,153,153,156,154,163,204,200,200,187,172,160,145,133,133,157,159,154,154,155,153,126,134,138,141,144,147,150,151,154,154,159,152,193,209,180,158,137,113,117,133,125,72,86,154,157,155,155,155,127,134,139,143,145,148,151,153,156,159,158,162,213,200,141,80,69,69,71,89,87,79,69,82,159,158,157,156,129,134,138,143,147,150,152,155,156,160,152,187,216,182,110,52,60,70,55,62,83,109,93,49,104,166,158,158,130,136,140,144,147,151,153,154,158,159,155,215,201,139,66,40,67,73,59,66,71,73,80,98,76,121,163,157,132,137,141,145,149,152,153,155,159,155,180,221,157,88,44,43,42,50,69,67,74,76,89,107,102,111,118,161,134,138,142,146,150,152,155,158,159,161,220,208,140,89,66,62,54,44,71,76,123,108,100,90,142,119,104,165,134,140,144,148,152,153,156,161,154,185,235,194,134,91,77,67,66,69,58,126,175,169,162,144,158,91,111,170,135,141,146,150,153,155,157,162,154,203,235,185,126,87,77,64,65,70,88,171,168,167,167,149,152,90,109,171,135,140,146,151,153,157,160,162,156,211,230,182,118,78,66,58,67,63,127,175,167,171,162,143,145,93,93,169,136,141,147,150,154,156,160,161,158,222,225,182,128,80,59,58,57,42,142,183,167,174,146,134,135,103,91,161,137,143,148,151,155,157,160,160,165,232,218,180,128,81,59,49,48,45,65,142,179,168,131,138,124,98,117,167,137,141,147,151,155,158,162,158,180,235,211,175,129,84,53,44,56,69,64,68,104,114,138,150,124,98,159,168,138,142,147,151,155,159,165,156,196,235,207,171,131,86,53,42,56,66,71,86,83,100,143,135,101,132,173,165,136,143,148,151,157,160,164,158,212,230,201,165,134,91,56,48,59,66,83,106,110,106,131,110,112,172,168,167,135,140,148,151,155,159,162,161,219,222,191,162,148,93,63,65,76,86,105,114,106,101,106,94,154,173,168,168,135,143,150,153,157,160,161,165,220,212,180,176,152,86,78,70,88,103,117,108,100,95,85,123,175,169,169,168,137,144,150,154,158,161,160,169,217,202,184,188,149,101,90,69,92,111,116,103,93,85,132,174,172,172,172,170,137,144,150,154,157,161,161,171,214,204,194,193,158,118,93,73,87,108,110,98,85,104,179,173,173,173,172,170,137,144,151,154,158,162,160,178,222,213,205,197,161,119,95,80,82,102,99,93,83,149,178,173,175,173,171,168,137,143,149,153,157,162,158,183,224,213,210,188,148,112,94,85,84,93,92,83,126,178,174,175,174,172,171,168,135,140,146,151,154,160,155,188,221,211,204,165,129,103,93,89,90,91,88,124,177,174,175,174,172,171,169,167
11,172,174,178,180,183,184,186,188,189,190,190,190,190,190,190,190,191,190,189,188,188,186,183,184,183,182,179,177,174,178,179,182,184,186,188,189,191,191,192,191,191,192,193,191,190,190,190,189,189,188,185,185,183,183,181,179,176,179,182,184,187,189,190,191,193,193,194,193,195,187,178,195,191,191,191,190,189,188,188,186,185,184,182,183,179,182,184,187,189,191,193,194,196,195,196,194,200,202,139,195,195,193,193,192,190,190,190,188,186,184,188,168,182,184,187,189,191,194,196,196,197,197,198,195,205,213,131,190,198,195,195,195,194,193,191,190,188,188,188,126,182,186,189,192,194,196,197,197,199,199,201,195,214,211,121,190,201,198,196,195,196,195,193,192,190,193,176,99,185,188,190,194,196,198,200,200,203,204,201,199,235,206,124,199,201,199,199,198,197,196,195,195,193,198,163,89,188,191,194,196,198,200,202,203,202,194,215,190,231,195,133,207,202,202,202,201,199,199,198,197,195,199,174,108,190,193,196,198,200,203,199,227,210,147,196,174,137,178,137,190,208,203,203,204,203,202,200,200,198,197,191,123,191,195,197,200,203,199,224,242,227,187,134,160,124,148,133,164,215,204,205,205,204,203,202,202,201,199,200,141,193,196,199,203,202,213,255,204,211,209,144,133,129,160,137,171,217,207,208,208,207,206,205,203,202,200,203,179,195,198,201,203,206,246,232,171,170,206,136,127,123,158,137,176,218,209,211,210,209,208,207,205,204,203,202,198,196,200,204,201,227,252,200,165,185,184,111,134,123,150,129,187,218,212,213,213,210,210,209,207,206,206,204,202,198,201,205,201,238,243,188,143,155,160,113,131,122,147,125,206,218,213,214,213,212,211,209,207,207,207,206,205,199,202,206,202,242,245,201,159,118,119,142,114,132,144,130,219,216,215,214,213,213,212,211,211,209,208,208,206,200,204,207,205,252,243,194,148,118,106,148,112,158,150,107,188,227,217,219,219,215,209,206,204,210,214,209,208,202,206,208,210,255,241,194,157,125,108,117,105,150,138,99,121,205,218,207,190,179,171,168,158,149,183,214,208,202,207,208,216,255,238,197,165,135,118,120,125,140,142,139,137,142,159,163,175,182,168,147,139,124,140,217,210,204,208,209,218,255,234,198,168,140,123,125,162,185,185,175,164,149,151,168,167,150,134,150,188,200,204,213,211,205,210,211,218,255,237,206,175,148,129,140,183,181,170,165,159,147,138,133,137,167,193,219,224,221,218,214,212,207,211,211,223,255,239,212,176,158,137,152,177,175,166,151,148,127,119,163,215,227,225,220,218,218,218,215,212,208,214,209,235,255,240,209,174,158,141,149,161,165,158,139,122,141,200,230,227,223,220,221,220,219,219,216,215,209,213,212,254,252,225,195,166,148,142,151,147,154,147,120,167,229,232,224,225,224,223,223,221,220,220,218,216,211,210,245,255,241,216,185,160,145,145,148,138,134,128,182,237,231,227,226,225,225,224,223,222,221,221,220,218,209,217,255,250,229,209,181,165,152,143,139,122,153,216,238,230,230,230,227,227,226,225,224,223,222,221,220,219,206,229,255,244,207,180,174,163,145,137,118,141,229,237,230,231,231,231,229,228,227,226,225,225,224,222,221,219,208,242,255,237,189,162,157,151,136,124,125,216,237,232,233,233,232,231,231,228,228,227,225,226,225,222,221,220,218,254,255,225,169,156,152,142,128,115,188,241,233,236,235,233,233,232,231,229,229,228,227,227,226,224,222,222
11,180,183,185,187,188,189,190,191,192,192,193,192,192,195,195,196,194,193,193,194,192,192,192,192,190,188,187,186,181,185,187,187,189,191,193,193,194,194,194,197,199,190,198,198,197,196,196,196,194,194,193,193,193,192,189,188,185,187,189,191,191,193,194,196,196,198,195,205,214,147,197,200,198,197,198,198,198,197,196,195,195,194,192,191,187,188,191,193,194,194,196,199,199,200,194,220,213,128,193,201,199,199,200,200,200,199,199,198,197,195,194,193,188,190,193,194,195,196,198,200,200,201,197,244,194,127,200,201,201,201,200,201,201,201,200,199,198,197,196,194,191,193,194,196,196,198,200,201,203,197,214,254,159,140,208,200,202,203,203,202,202,201,201,201,200,198,199,197,192,194,195,197,199,200,200,202,204,196,239,245,138,171,211,203,204,205,206,204,203,203,203,203,202,200,200,198,194,197,198,200,201,201,201,204,200,212,255,214,128,192,209,207,207,207,207,206,204,206,206,204,202,202,201,200,195,198,199,200,202,203,205,206,205,244,250,171,132,212,209,208,208,208,208,208,207,207,207,205,205,203,202,202,196,198,200,202,204,206,207,202,224,255,236,130,159,217,208,209,209,210,210,210,208,209,209,207,207,206,204,203,199,201,203,204,205,207,209,204,238,255,216,111,194,217,209,210,209,210,211,211,211,210,209,208,207,207,207,205,201,202,204,206,208,209,209,213,252,255,198,169,228,189,209,213,211,212,212,213,214,212,210,210,208,208,208,206,201,203,205,207,209,210,203,232,255,252,249,245,212,137,187,219,212,213,214,214,215,213,212,212,210,209,209,208,201,204,207,208,205,210,221,250,255,255,254,201,142,125,171,221,213,215,216,215,214,214,213,213,213,211,210,208,202,205,208,210,232,247,254,254,255,241,223,183,124,121,154,221,214,216,216,217,217,216,214,214,214,214,210,209,204,208,204,233,255,254,254,253,255,212,137,148,127,129,137,216,217,217,218,218,218,217,215,215,215,214,213,211,205,207,211,251,251,248,254,255,244,190,130,127,129,129,133,210,221,218,219,218,218,218,218,218,216,215,214,214,208,205,227,255,251,255,253,231,196,200,153,125,123,130,134,210,221,219,222,220,218,218,218,218,217,216,216,216,211,206,243,255,253,238,204,162,137,209,177,132,117,118,146,220,220,219,221,220,220,220,219,219,219,216,216,215,208,216,254,255,241,189,142,102,84,212,191,128,128,178,212,225,228,228,228,224,223,227,223,219,220,217,217,217,206,232,255,248,220,175,138,92,148,213,139,101,138,219,226,218,205,180,159,149,149,164,212,226,220,220,219,220,209,247,255,243,201,152,118,88,136,146,82,90,85,100,130,134,134,131,128,135,132,119,127,203,226,221,221,220,224,255,253,226,170,126,102,92,90,92,91,95,100,95,105,128,144,156,150,147,139,127,104,138,230,216,220,219,247,255,247,201,156,123,95,90,90,94,101,107,114,118,136,150,150,149,151,158,180,186,162,179,227,219,218,219,254,255,235,185,147,115,88,90,99,114,125,127,130,135,148,143,165,198,220,227,230,231,232,228,222,222,232,180,255,253,218,172,140,110,88,109,126,137,144,144,140,128,144,190,231,232,230,227,226,226,224,225,231,220,174,118,255,242,200,161,132,109,98,130,144,144,143,150,129,169,221,232,228,227,229,229,227,228,227,232,202,137,107,99,251,225,180,149,130,111,104,132,140,141,143,131,166,237,230,228,229,229,229,230,230,229,232,200,126,113,106,95
1,118,119,121,122,123,124,124,124,125,125,125,124,124,124,124,122,121,124,120,119,119,118,117,116,115,114,113,112,119,120,122,123,125,125,125,126,126,125,126,126,125,126,124,125,118,98,122,122,119,119,118,118,116,115,114,113,120,122,124,126,126,127,128,127,128,126,127,127,127,127,125,135,122,60,106,119,121,120,120,119,118,117,116,114,122,124,125,127,128,129,130,130,130,129,130,129,127,131,116,118,120,70,108,79,113,124,122,120,119,119,117,116,124,126,127,128,129,131,132,131,131,131,132,132,129,140,103,90,109,71,119,74,102,129,123,122,122,120,119,119,125,127,129,130,131,132,133,132,133,133,133,133,133,143,93,92,112,74,115,73,92,133,124,124,123,122,121,120,127,128,129,132,132,133,134,135,135,135,135,133,127,140,81,90,110,73,113,76,86,134,127,127,125,124,123,122,128,130,132,134,134,135,136,137,137,137,138,136,98,131,79,86,108,73,112,84,85,135,129,129,127,127,125,124,129,132,134,135,136,136,137,137,138,137,144,124,81,123,73,98,110,72,106,82,85,136,130,130,129,128,126,126,131,133,134,136,137,138,138,138,139,138,149,109,75,112,71,122,113,75,120,96,82,138,132,132,130,129,128,127,132,134,137,138,137,138,141,142,141,140,150,99,82,123,76,118,99,73,133,101,86,139,133,133,131,130,129,129,133,135,138,140,140,142,142,143,142,146,149,81,87,118,61,98,76,68,131,91,89,141,134,135,133,132,131,130,135,137,138,141,142,144,143,143,142,152,146,87,113,94,70,99,87,102,127,87,90,142,136,137,135,133,132,131,136,138,140,142,143,145,144,144,142,158,134,82,127,119,112,104,97,119,114,84,92,143,136,137,137,136,134,132,137,138,141,143,145,145,146,146,144,159,133,115,99,123,137,136,107,85,91,78,91,145,139,138,138,136,135,133,138,140,142,143,144,146,146,146,150,156,136,116,79,99,106,129,132,112,84,61,89,147,141,140,139,137,136,134,138,141,143,143,144,146,148,145,156,155,118,96,88,92,95,123,138,131,117,76,84,150,141,141,139,138,138,136,139,143,144,145,146,148,149,145,161,157,111,99,105,98,118,135,136,143,123,104,75,134,146,142,141,139,137,137,140,143,145,146,148,149,150,147,163,158,117,105,107,107,136,155,143,135,117,103,69,124,148,142,142,140,139,137,141,143,145,147,148,149,149,147,161,161,130,113,103,115,153,162,143,123,101,87,69,124,149,142,142,142,140,138,141,144,146,148,149,150,150,148,158,168,145,118,108,112,162,168,138,109,90,73,68,123,150,143,143,142,140,138,142,144,146,148,150,151,152,150,155,166,144,121,113,105,161,156,128,102,85,70,74,138,149,146,144,142,142,140,143,144,147,149,150,150,152,152,154,160,141,129,114,111,152,141,118,95,80,69,88,149,146,147,145,143,143,141,143,144,147,149,150,151,152,152,152,155,148,145,122,131,146,126,107,89,77,70,119,152,147,147,145,143,143,142,143,145,147,149,151,152,151,152,152,151,152,145,119,117,128,115,95,82,73,80,144,149,148,147,146,144,143,142,144,146,148,149,151,152,153,153,154,153,146,132,113,103,109,106,92,81,70,96,154,149,149,148,146,144,143,143,144,146,148,150,152,152,153,153,154,154,141,121,111,113,109,107,104,81,68,119,155,149,148,148,146,145,144,144,143,145,147,149,150,151,152,152,151,151,149,132,132,126,112,102,102,75,66,137,152,148,148,148,145,144,143,142
10,64,65,67,70,75,78,84,95,104,111,116,120,122,126,129,132,135,138,139,141,143,143,144,146,146,146,147,148,64,66,68,71,75,79,85,97,106,113,118,121,123,127,130,133,136,138,139,142,143,144,145,147,147,147,147,148,64,66,69,72,76,79,87,99,108,115,120,122,124,128,131,135,136,145,144,126,143,146,147,148,149,148,148,148,63,67,69,73,77,81,89,101,109,117,121,123,127,130,134,137,137,163,151,97,133,149,149,150,151,151,150,150,64,68,70,74,78,82,91,103,111,118,123,125,129,132,135,138,139,157,158,105,110,152,152,152,153,153,153,153,65,69,72,74,78,83,92,104,112,120,125,128,131,135,138,142,143,152,166,116,91,145,155,156,156,156,156,156,66,70,72,75,79,83,94,106,115,122,127,129,133,137,140,143,147,149,168,134,95,130,158,158,158,158,158,158,67,70,73,77,80,84,95,107,116,123,128,130,134,139,143,146,149,151,162,147,105,112,161,160,160,161,161,160,67,71,74,78,80,85,97,109,118,125,129,131,135,140,144,147,161,148,109,131,115,96,157,164,164,164,164,164,69,71,74,77,81,86,99,111,119,127,130,133,138,142,146,150,171,126,85,108,149,100,147,167,167,167,166,166,69,72,75,78,81,88,101,112,121,128,131,134,140,144,149,152,170,121,93,87,159,107,132,169,169,170,169,168,69,72,75,79,82,89,102,113,122,130,132,136,142,152,146,162,183,141,125,92,121,113,115,171,171,172,171,171,70,73,75,79,83,90,104,115,125,131,134,136,155,189,163,175,162,154,147,105,84,106,100,167,173,173,173,174,72,73,76,80,83,91,104,116,126,132,141,150,160,207,186,183,137,122,150,125,84,85,86,155,175,175,175,174,72,74,77,80,83,91,106,117,127,131,180,196,153,156,185,191,144,88,134,146,107,77,71,137,178,176,176,176,73,74,77,80,84,93,107,119,129,134,188,208,162,107,141,185,135,82,93,146,125,89,67,121,178,178,178,179,72,74,77,81,85,94,108,120,130,137,164,149,166,150,107,133,98,61,68,128,133,105,76,109,178,179,179,180,73,74,78,81,85,95,109,121,132,139,168,133,145,155,94,104,106,62,97,136,136,121,90,100,177,180,180,181,73,75,78,81,86,96,110,123,133,138,180,164,124,107,92,114,122,120,165,161,141,129,99,96,172,182,181,181,74,76,78,82,86,98,112,125,135,140,183,168,142,123,112,122,139,186,189,157,142,125,101,101,172,183,182,182,73,76,79,82,86,99,112,126,136,141,200,194,165,134,130,146,207,214,178,143,127,115,102,109,176,184,184,184,74,76,79,82,86,99,113,125,137,141,203,207,173,146,154,174,229,204,169,141,116,104,99,121,183,185,185,186,75,76,79,82,86,100,114,127,138,141,207,212,174,168,166,187,224,193,159,136,113,99,96,138,186,185,186,186,75,76,79,82,87,101,115,128,138,142,200,205,182,183,174,205,210,177,146,124,108,99,97,151,188,187,187,187,75,77,80,82,88,101,116,129,139,141,186,204,199,192,188,210,193,158,132,113,103,99,102,168,188,187,188,188,75,77,80,82,88,102,116,129,140,141,170,213,210,191,177,186,173,144,121,108,101,94,116,183,189,189,189,190,75,77,81,82,89,104,118,130,140,144,154,203,199,180,163,164,159,145,126,112,101,89,136,189,190,190,190,193,74,77,81,83,90,105,119,131,140,145,147,181,180,167,157,160,157,156,136,112,98,85,149,191,190,191,192,193
10,180,181,181,183,183,185,186,186,185,186,187,185,184,185,183,182,181,180,178,178,174,186,175,134,170,168,166,165,185,185,187,188,188,189,190,191,190,191,189,190,189,189,188,187,185,183,183,182,175,198,187,110,164,171,168,167,190,191,192,193,194,194,195,195,196,196,194,193,195,194,193,192,190,188,187,187,181,201,189,113,158,179,171,170,195,197,197,198,199,199,199,200,200,199,199,199,199,198,197,196,194,193,191,191,185,205,178,106,157,185,175,174,200,201,202,203,204,203,203,203,205,204,204,205,204,203,202,201,199,198,195,195,190,209,183,110,156,189,179,179,204,205,206,207,208,208,208,208,210,210,208,210,210,209,207,206,203,201,200,200,194,217,189,115,162,193,183,181,207,209,210,210,210,212,212,213,213,212,212,212,214,212,211,210,207,206,204,202,201,224,180,162,166,194,187,185,211,213,213,214,214,215,216,217,216,216,216,216,217,216,214,213,212,211,209,208,210,218,198,187,114,197,191,188,213,216,217,217,218,218,219,219,218,218,219,219,219,219,218,217,216,215,211,207,181,171,206,186,93,179,202,191,217,218,219,221,221,220,221,222,222,222,220,221,223,222,222,220,218,219,219,222,209,173,153,169,118,106,206,196,220,221,222,224,225,224,225,226,226,225,226,226,226,226,225,225,222,210,191,207,226,196,160,124,129,89,148,210,224,225,226,227,227,227,228,227,227,228,228,228,228,228,225,221,229,200,159,125,149,210,208,169,105,100,108,211,227,227,228,228,229,229,231,230,230,230,230,231,229,230,207,162,182,225,192,139,50,145,204,134,90,82,118,214,229,229,230,231,231,231,233,233,232,232,232,232,230,228,217,187,144,210,221,168,84,56,88,138,120,81,128,220,230,231,232,233,233,233,233,233,233,233,234,234,233,219,219,219,175,163,229,178,123,67,68,177,170,90,135,223,233,232,234,235,236,235,234,236,236,236,237,235,232,202,171,209,190,120,184,193,127,76,98,172,190,103,129,224,233,234,235,237,238,237,238,238,238,239,239,236,232,215,149,145,174,90,123,198,127,84,110,168,178,99,124,225,234,236,237,238,239,239,239,240,240,239,241,239,223,202,172,130,150,118,102,188,181,118,115,171,135,83,146,228,235,238,239,239,240,240,240,241,241,241,241,238,229,235,209,148,139,147,109,164,206,144,103,149,112,76,191,226,238,239,239,240,241,241,242,242,242,243,243,242,228,240,218,179,149,140,135,195,192,121,98,132,103,95,223,220,239,240,241,242,242,243,244,243,244,245,246,247,230,235,229,195,161,153,171,235,224,176,136,129,92,129,235,219,240,241,243,243,243,245,245,245,246,247,248,248,234,219,223,204,177,166,174,228,225,197,155,127,81,167,236,220,237,239,241,242,242,242,242,244,246,247,247,248,239,214,221,211,201,181,175,221,215,180,139,112,85,208,231,224,239,239,241,242,242,243,242,244,247,247,247,247,248,218,206,216,211,186,163,203,191,160,127,87,115,235,222,224,240,240,241,244,244,246,246,246,248,248,248,247,249,235,198,206,200,182,156,173,173,143,113,70,175,238,222,223,241,242,242,244,244,246,246,246,246,247,248,248,247,247,217,204,192,175,156,156,173,143,94,103,231,229,226,223,239,242,245,247,249,251,252,251,253,254,254,254,255,249,226,207,189,182,171,155,167,136,78,168,242,225,228,230,157,159,165,170,174,179,185,190,194,199,203,208,215,214,219,212,193,199,179,160,161,124,80,195,234,224,219,175
15,169,160,138,146,108,102,156,38,38,80,77,80,84,88,90,103,118,131,141,144,149,156,161,165,169,171,174,178,176,161,140,151,102,118,155,27,48,81,78,81,86,89,94,107,120,134,143,146,151,160,164,168,172,175,178,182,183,158,144,156,94,134,148,18,57,82,79,81,86,89,95,110,124,136,145,149,154,161,167,171,175,178,181,184,186,161,149,158,89,152,135,14,66,82,80,82,86,89,96,113,127,139,147,151,158,164,170,174,177,181,184,186,187,161,156,157,90,168,120,14,74,82,81,84,89,90,98,114,129,143,150,153,159,167,173,177,180,184,187,190,186,160,161,151,91,177,102,15,79,80,80,83,84,87,100,117,131,145,151,154,161,169,175,181,184,187,191,193,187,160,165,143,96,187,86,24,88,85,91,98,107,104,99,119,135,149,158,159,167,177,184,186,187,190,195,197,184,164,174,143,125,149,123,117,116,115,125,127,122,111,103,105,112,123,138,148,155,157,162,184,201,196,197,202,178,170,167,129,126,127,121,117,103,108,107,102,98,102,114,111,109,110,110,117,128,122,111,110,141,196,211,205,178,168,143,115,113,109,107,102,100,104,103,104,102,111,121,121,114,111,107,113,131,129,120,105,82,98,168,216,178,167,171,111,119,114,88,92,95,103,105,103,105,117,121,118,114,107,108,124,121,120,120,112,102,87,79,121,176,169,180,99,166,163,24,70,89,84,87,89,94,105,120,126,121,108,117,120,123,120,121,110,105,107,98,78,174,177,177,96,179,146,12,73,87,82,84,87,88,92,111,146,176,143,128,122,119,120,116,116,105,117,114,95,176,181,172,96,192,130,12,80,86,83,84,88,89,96,114,176,170,145,118,120,109,101,105,116,106,128,126,106,180,182,166,103,200,112,13,85,85,82,85,88,92,89,146,184,141,129,77,80,86,62,85,132,118,139,128,110,183,187,155,109,203,94,18,89,84,82,85,88,88,103,185,155,128,113,78,44,48,26,92,163,146,141,114,106,186,190,146,119,207,78,24,92,84,84,85,89,81,161,199,139,118,96,63,42,38,23,117,170,163,144,108,99,186,193,136,130,207,62,32,95,84,83,85,89,83,172,191,153,117,87,41,36,33,39,134,171,178,154,112,95,189,200,127,145,202,48,40,96,83,84,86,90,83,129,199,177,138,96,44,33,68,66,110,168,178,149,113,98,192,204,118,162,202,36,50,95,83,82,85,88,90,99,188,202,164,108,53,26,69,97,124,167,152,126,111,89,194,205,112,177,196,27,58,95,83,82,83,87,90,97,154,219,179,133,102,85,92,146,156,140,114,100,103,86,197,202,106,193,182,19,65,92,81,80,81,84,85,103,127,202,200,183,173,165,173,159,117,99,92,89,90,85,201,197,107,206,167,13,73,89,80,80,80,83,85,103,125,193,180,147,139,150,166,145,95,83,87,75,90,97,202,188,108,217,149,12,80,88,79,78,78,82,87,97,169,193,138,135,134,144,168,144,91,78,76,111,83,74,204,179,116,225,130,6,81,82,75,74,76,81,86,96,188,169,135,127,127,133,153,143,101,76,176,214,76,62,207,169,122,227,117,31,94,88,78,76,76,76,81,97,159,157,134,131,118,108,125,127,96,79,218,224,84,68,210,160,137,213,166,133,131,135,129,126,121,122,124,126,133,143,148,174,176,110,85,156,116,111,200,207,90,74,211,150,149,210,174,112,110,117,117,117,118,123,124,123,117,118,122,124,187,166,96,125,127,121,132,130,88,78
1,71,77,79,83,88,95,98,98,100,101,104,105,107,110,110,110,111,111,118,114,115,115,115,115,113,113,114,115,77,81,85,88,92,98,101,104,105,106,108,108,111,109,115,115,125,119,86,120,119,117,116,115,114,114,116,117,82,87,90,93,98,102,106,109,111,113,115,115,115,133,92,102,150,125,34,120,125,124,120,120,119,119,118,119,87,92,95,99,103,107,111,115,117,118,120,118,125,160,60,82,156,103,37,122,100,112,129,124,125,124,123,124,92,96,100,105,110,113,116,120,122,123,124,123,140,154,49,95,157,87,43,137,90,58,138,128,129,128,127,125,96,101,106,111,115,118,123,126,127,127,138,111,124,146,48,104,158,75,54,154,93,44,139,132,133,132,131,129,102,107,111,115,120,125,130,133,135,134,163,93,79,123,57,113,165,85,72,160,84,44,142,138,137,136,135,134,107,113,115,120,126,131,135,139,140,142,171,72,78,108,69,112,152,79,77,166,85,46,147,143,142,141,140,138,112,117,120,125,132,134,140,142,144,149,157,58,84,87,56,86,144,67,91,173,91,54,154,148,147,146,145,142,116,120,125,129,136,139,142,149,149,154,165,71,87,95,57,88,164,73,112,165,86,62,162,155,153,150,149,147,119,123,129,133,141,144,147,154,151,160,163,68,75,116,73,89,165,72,126,171,86,70,166,157,157,156,155,154,123,128,133,138,144,147,152,156,155,168,175,89,64,103,53,77,134,53,143,173,91,84,173,158,160,162,160,158,127,132,136,142,149,152,154,160,159,170,187,94,48,81,53,85,108,80,153,153,79,98,177,163,166,164,162,161,131,136,139,144,152,155,158,163,162,172,182,101,87,134,119,133,138,122,106,138,71,111,180,166,170,168,166,165,132,138,143,148,154,158,162,167,165,181,195,139,100,99,153,172,183,134,57,95,55,121,182,172,172,172,170,168,135,140,146,151,155,159,165,170,167,193,180,117,82,40,73,111,136,163,107,29,25,144,185,174,175,175,173,170,138,143,149,155,159,162,168,173,169,200,173,113,66,52,58,75,134,194,161,63,16,167,184,178,177,176,176,175,140,146,152,158,161,166,170,175,173,205,182,112,75,79,86,131,155,185,191,109,30,164,189,182,181,179,178,180,144,148,153,158,163,169,174,176,178,207,176,109,74,88,95,173,188,165,164,114,36,136,197,183,184,182,181,181,147,152,156,162,168,171,175,177,181,205,175,121,85,102,121,201,198,162,117,78,27,136,199,185,185,184,184,182,148,153,159,165,170,173,177,180,182,201,179,125,103,95,141,211,192,141,99,51,23,159,198,187,189,188,187,185,150,156,160,165,172,174,179,182,184,195,174,126,111,93,140,207,172,123,85,35,60,197,191,192,192,188,189,190,151,157,162,167,171,174,180,186,186,189,173,136,127,99,128,191,150,106,65,20,116,208,190,193,193,192,192,191,154,158,165,169,173,178,181,185,186,184,169,142,136,105,124,182,135,92,49,26,165,203,194,196,195,195,193,194,156,159,165,170,175,179,183,186,189,190,177,145,136,94,114,163,119,80,33,52,200,198,198,197,197,197,197,196,155,160,167,173,177,179,183,189,186,192,184,147,127,78,102,127,86,66,21,107,213,199,201,199,198,198,198,197,153,159,165,171,176,178,181,188,180,198,187,170,125,83,106,107,77,47,43,184,204,201,201,199,200,200,198,197,154,159,165,169,176,182,184,183,180,198,188,173,134,99,107,93,69,24,127,210,199,201,201,199,200,200,198,197
5,151,154,158,160,160,162,164,163,165,167,166,166,167,168,168,166,172,169,167,168,166,166,165,164,162,161,162,160,155,159,162,163,163,166,168,168,168,170,172,171,172,173,172,172,139,167,172,170,171,169,169,167,166,164,164,162,160,163,167,168,168,171,172,173,173,174,176,176,173,176,177,193,109,141,184,174,176,175,173,171,171,169,168,167,165,169,172,173,173,175,177,178,177,179,179,178,180,139,154,207,119,115,192,178,179,178,177,177,175,174,172,171,170,172,176,178,179,180,181,182,181,184,184,181,198,135,116,215,116,97,198,182,184,181,181,179,178,178,177,175,174,176,182,183,183,185,186,186,188,187,188,185,205,151,102,208,116,100,201,186,187,185,185,183,182,181,180,179,176,178,184,186,186,190,189,189,184,188,194,189,208,157,90,204,132,108,203,191,192,191,190,187,186,185,185,182,181,182,186,189,190,193,192,199,156,144,203,190,210,170,94,199,120,113,206,194,195,194,198,196,188,188,188,185,184,185,190,193,194,195,193,202,168,106,202,194,214,174,80,191,112,117,211,197,197,194,153,176,199,190,189,189,186,189,194,196,197,197,196,206,194,86,195,201,212,172,69,190,139,118,214,195,201,201,151,121,198,197,193,192,187,192,196,198,198,199,200,205,193,89,193,205,205,190,82,160,156,120,212,192,180,157,191,159,155,199,197,195,192,195,199,201,201,203,204,205,213,103,169,212,198,200,90,114,159,132,209,196,172,57,151,183,120,183,205,198,194,198,203,202,205,205,205,206,219,141,133,215,200,205,94,106,156,131,195,190,157,112,192,157,125,208,202,201,194,199,204,205,206,206,208,207,201,206,159,171,199,187,122,135,140,113,161,174,127,178,212,116,168,214,202,204,198,201,205,209,210,210,209,213,196,213,198,155,160,159,129,130,128,116,163,172,131,200,188,87,191,211,206,205,202,205,206,210,211,213,212,214,208,209,225,182,150,149,118,125,122,120,156,168,149,219,157,71,207,211,209,207,203,206,208,210,212,214,215,215,216,211,241,209,136,131,109,103,114,124,153,162,149,225,151,91,222,210,210,210,204,208,211,212,213,214,216,216,218,215,244,220,142,99,100,93,109,142,165,147,139,219,153,110,226,211,213,213,208,211,212,214,215,215,218,219,219,216,238,216,151,100,99,94,129,157,179,194,154,201,154,117,228,214,213,213,207,211,212,213,216,220,220,220,223,215,233,210,152,104,92,105,145,165,202,216,171,170,127,111,228,216,216,213,210,212,214,216,218,220,220,221,223,214,234,210,162,106,91,115,162,195,202,205,187,135,82,94,228,217,218,217,211,213,214,218,220,220,222,222,226,215,230,211,167,109,94,113,173,211,208,195,159,103,44,128,233,217,220,220,211,213,218,220,221,222,223,224,228,219,220,210,166,111,102,104,185,221,205,171,133,71,71,216,226,221,221,220,213,214,219,221,221,222,224,226,229,215,202,207,166,117,112,101,182,206,178,146,107,53,175,239,223,223,222,221,213,214,218,220,222,222,225,225,231,218,193,198,156,132,118,105,165,183,163,133,67,101,238,226,228,226,223,222,212,215,218,219,220,221,223,224,227,220,191,184,149,138,112,102,154,167,151,93,51,201,235,227,228,227,225,224,211,214,218,219,220,220,221,225,228,219,195,188,154,136,114,88,135,134,103,49,161,240,225,228,228,227,225,224,212,214,218,220,220,220,223,227,232,215,203,188,142,127,117,84,112,96,49,123,241,226,229,228,228,227,224,222
24,213,215,216,216,217,218,218,219,219,218,219,218,219,219,217,216,215,212,212,212,211,208,207,207,204,203,200,197,217,219,220,221,222,222,222,222,223,223,222,223,222,222,222,221,220,218,216,215,213,213,212,209,207,206,205,202,221,222,225,225,225,224,226,226,226,225,225,225,226,225,225,224,223,222,220,218,217,215,216,217,212,210,209,206,225,226,227,228,229,230,231,230,229,229,229,229,229,230,229,227,225,225,223,222,221,222,196,190,220,213,212,210,229,229,231,231,231,231,231,232,232,231,231,231,231,232,231,231,229,228,226,226,223,228,188,129,220,217,214,212,232,233,233,234,236,234,234,235,236,241,235,233,233,233,233,231,231,231,230,229,224,236,192,124,218,222,217,214,235,236,236,238,240,238,238,241,228,189,238,239,237,238,238,236,234,233,232,231,228,240,182,129,225,224,221,217,238,239,240,240,240,240,240,242,219,137,188,251,240,242,241,240,239,237,235,233,234,245,171,140,233,224,224,221,240,241,242,243,243,242,241,245,219,162,137,249,242,244,244,243,241,240,239,233,244,243,163,154,240,226,225,223,243,244,245,245,246,245,245,247,240,191,120,225,252,244,246,244,241,241,241,241,251,223,135,173,245,229,229,226,245,246,247,247,248,249,248,246,248,211,125,188,255,245,247,249,250,246,241,228,254,214,112,200,244,233,233,230,247,248,249,249,249,249,249,248,252,231,162,142,255,248,251,230,208,242,230,162,151,199,126,234,240,236,234,231,249,250,251,251,251,251,252,251,254,240,187,112,230,255,237,212,180,178,187,162,120,127,145,250,239,239,237,234,250,253,253,254,255,255,255,254,255,249,202,128,180,255,224,226,197,182,167,185,185,88,162,255,239,241,239,236,254,254,255,255,255,255,255,255,255,254,225,180,136,232,207,241,198,186,189,193,174,91,191,255,243,242,240,238,255,255,255,255,255,255,255,255,255,255,242,198,128,169,176,234,223,151,133,170,194,118,161,255,244,245,242,240,255,255,255,255,255,255,255,255,255,255,250,218,198,165,153,193,222,138,64,160,216,149,110,247,248,246,244,242,255,255,255,255,255,255,255,255,255,255,251,248,220,150,109,163,197,117,73,137,226,200,111,171,255,244,246,245,255,255,255,255,255,255,255,255,255,255,255,245,195,148,121,165,183,117,92,223,241,220,136,118,255,247,247,246,255,255,255,255,255,255,255,255,255,255,255,245,221,206,155,161,200,135,177,255,234,199,116,131,255,248,248,246,255,255,255,255,255,255,255,255,255,255,255,245,238,225,163,157,155,167,255,249,212,185,95,157,255,249,250,249,255,255,255,255,255,255,255,255,255,255,255,241,237,238,192,161,133,239,255,241,204,172,92,186,255,248,250,249,255,255,255,255,255,255,255,255,255,255,255,248,229,227,208,175,142,239,250,228,196,157,89,211,255,248,250,248,255,255,255,255,255,255,255,255,255,255,255,250,221,221,218,198,150,218,254,221,179,133,91,236,255,251,250,248,255,255,255,255,255,255,255,255,255,255,255,255,225,226,218,218,163,195,247,208,161,103,115,255,255,254,251,249,255,255,255,255,255,255,255,255,255,255,255,255,238,232,219,223,166,155,219,172,131,71,161,255,253,255,252,252,255,255,255,255,255,255,255,255,255,255,255,255,249,235,222,208,170,143,173,157,111,71,226,255,255,255,255,242,164,168,173,177,181,187,195,198,203,208,213,216,236,241,213,197,186,154,158,166,89,118,255,247,249,236,178,115
0,180,180,180,180,180,180,180,180,179,178,177,177,177,177,175,174,174,174,172,171,169,169,168,167,166,165,163,163,181,182,181,181,182,180,180,181,181,179,178,178,178,177,176,175,175,174,174,173,171,170,169,167,166,165,165,164,182,182,182,182,182,181,182,182,181,180,180,179,179,179,178,176,177,174,173,173,172,172,170,169,167,166,166,165,184,183,183,183,182,182,184,183,182,182,181,177,170,176,179,177,175,177,175,174,173,172,171,170,169,167,166,165,184,184,185,185,184,183,183,182,179,182,179,159,130,129,165,150,132,137,172,169,166,171,171,171,170,168,167,166,185,185,185,186,185,184,184,171,147,149,167,152,125,98,117,136,113,90,121,130,113,124,165,156,156,169,167,166,187,186,185,186,184,184,183,169,145,122,133,160,127,101,106,145,120,93,85,122,102,75,116,136,123,170,168,167,187,187,186,185,185,185,184,181,158,135,108,149,131,106,102,146,125,95,89,130,112,75,75,127,109,167,169,168,188,188,186,186,186,188,181,167,163,135,95,138,135,106,99,144,123,93,75,118,106,74,64,117,100,152,171,170,189,188,188,188,188,189,170,137,158,119,87,136,124,94,90,131,111,83,64,109,97,67,64,118,101,116,170,170,189,189,188,189,189,183,154,122,154,110,87,130,109,80,84,123,102,74,75,127,107,61,63,123,116,91,142,171,189,188,189,189,190,184,166,142,152,122,98,128,114,82,88,130,107,70,107,146,108,54,78,127,120,88,107,173,189,190,190,190,191,176,154,135,131,119,96,133,126,84,102,142,117,75,98,127,78,56,115,137,116,78,117,173,190,191,192,192,186,159,133,113,98,86,81,130,119,79,93,138,115,69,40,50,42,91,140,138,102,78,155,173,192,192,192,191,184,164,138,113,90,80,78,91,97,74,62,86,88,87,98,76,84,135,141,122,80,113,175,173,193,193,193,189,181,164,140,113,92,87,92,92,97,100,94,102,129,146,144,135,119,130,127,98,74,156,175,172,193,193,194,191,183,166,144,120,97,88,94,103,121,133,142,152,156,150,139,135,115,111,109,73,102,175,175,174,192,193,193,191,184,167,147,127,107,97,97,110,141,155,163,162,156,145,135,129,107,93,89,63,144,178,176,175,193,194,193,190,186,170,152,134,115,111,108,139,165,167,167,162,153,139,129,121,95,77,62,99,175,178,177,176,194,194,193,191,188,175,157,142,129,125,134,161,171,170,167,160,148,135,121,107,80,56,84,163,180,178,178,177,194,195,194,192,188,177,161,148,138,134,154,166,172,172,165,149,139,127,112,92,61,75,161,181,180,179,178,177,194,195,194,190,187,180,167,153,141,137,161,168,172,169,156,139,128,116,97,69,67,154,182,180,180,180,179,177,194,196,195,190,185,180,169,158,144,138,159,168,163,157,142,127,113,99,73,63,144,184,183,182,180,180,179,177,195,197,197,192,186,182,173,165,153,143,155,162,152,143,129,113,96,72,59,135,184,185,184,182,181,180,178,177,196,196,197,194,188,180,173,168,159,149,152,154,143,129,118,99,71,60,133,185,186,185,183,182,182,180,179,178,196,197,197,193,187,179,180,179,168,155,149,145,130,116,104,77,62,137,187,189,188,186,183,182,182,180,179,179,196,196,196,191,188,176,180,178,164,153,144,136,118,99,85,63,135,189,190,188,188,187,185,183,183,181,180,179,197,197,194,187,182,163,175,169,157,149,139,123,109,90,68,92,186,191,189,188,188,187,185,185,183,182,181,179
21,196,197,197,198,199,199,199,199,198,198,199,195,198,198,195,194,194,193,192,191,189,189,186,183,183,181,177,175,199,200,200,201,203,203,202,202,202,199,209,191,155,201,199,198,197,196,195,194,193,191,189,188,186,184,181,178,202,203,204,205,206,206,205,206,207,205,207,206,143,170,210,202,202,201,199,198,197,194,193,191,192,188,185,183,205,206,207,207,208,208,208,210,210,210,207,208,170,130,210,206,206,205,203,202,200,197,199,180,155,194,189,186,208,209,209,210,211,211,212,212,212,211,211,213,190,111,190,213,207,207,206,206,204,199,205,175,116,189,193,189,211,212,212,213,213,213,214,214,213,213,214,213,206,131,159,221,208,209,207,208,206,202,214,159,121,197,195,191,213,214,215,214,215,217,217,217,216,215,216,218,220,160,134,217,213,212,210,210,207,210,205,140,137,208,195,195,215,217,218,219,219,219,219,219,219,218,220,219,228,175,118,203,219,212,212,213,208,218,198,123,165,210,197,197,219,220,221,222,221,222,221,221,220,221,222,220,234,193,124,183,225,214,214,213,215,216,180,120,193,208,201,198,221,223,224,224,224,225,225,224,224,224,224,221,229,216,150,162,228,216,217,216,218,201,147,132,214,205,204,200,224,226,226,226,226,227,226,225,226,227,226,226,222,220,175,145,223,219,219,221,220,193,111,170,218,208,206,204,226,227,227,226,227,228,227,226,227,228,228,228,204,180,172,132,213,225,220,226,219,172,120,214,213,209,208,205,227,227,229,229,228,228,228,229,228,228,230,226,223,213,193,147,198,235,223,226,204,136,157,226,212,212,210,207,228,230,231,231,230,230,231,231,231,231,234,221,206,235,224,191,153,200,214,200,174,115,199,224,216,214,212,210,231,233,232,233,234,233,232,232,233,233,235,227,182,165,217,194,173,132,163,174,129,128,228,219,219,215,214,212,232,233,233,234,234,234,234,234,235,234,235,229,185,98,105,202,194,116,100,127,101,150,234,219,219,217,215,213,233,234,233,234,235,235,235,236,236,235,238,234,196,156,112,151,179,116,110,100,87,165,237,221,221,219,217,215,235,235,236,236,237,237,236,236,236,238,233,214,214,204,166,112,164,142,120,132,91,176,237,223,224,221,218,216,236,236,237,238,239,240,240,240,240,240,221,221,222,209,192,169,130,156,135,144,85,154,240,224,225,222,220,218,237,239,239,240,241,241,241,241,242,238,222,212,171,179,208,190,152,112,138,124,85,107,236,226,226,223,221,219,237,239,239,239,240,240,240,241,242,238,224,212,168,103,141,187,148,80,106,146,110,73,174,238,224,225,222,218,238,239,240,240,240,240,240,241,241,238,225,208,173,139,89,132,119,88,95,154,142,81,127,238,221,222,224,226,238,240,241,241,242,241,241,242,243,241,219,208,199,155,105,129,154,96,124,174,154,80,148,240,227,230,203,155,237,238,239,241,241,240,241,242,242,240,214,209,209,150,127,155,232,187,169,172,122,75,205,231,195,143,90,67,246,245,247,248,248,246,246,246,247,245,219,215,193,171,125,157,227,215,177,148,109,83,155,113,85,65,67,73,198,202,207,212,216,219,223,227,231,233,215,201,187,164,114,150,208,188,161,137,108,77,70,70,79,57,67,76,127,127,128,128,131,133,132,134,135,130,166,201,191,157,122,149,205,184,148,116,89,70,71,65,76,49,56,79,136,136,136,136,136,139,139,137,140,132,151,206,187,158,135,135,186,169,128,97,71,65,65,58,67,44,50,76
20,148,151,155,159,161,164,168,169,171,172,173,174,172,175,175,172,173,173,173,172,169,167,167,167,164,162,162,160,150,154,158,162,164,167,170,172,174,175,176,175,180,160,167,180,175,175,175,174,173,171,169,168,167,167,165,164,152,157,161,164,168,172,174,175,176,179,181,174,208,139,117,184,178,177,178,177,175,174,173,172,171,170,169,166,155,159,164,168,171,175,176,177,180,182,182,178,217,147,122,141,153,185,179,179,178,176,175,173,173,173,171,170,157,161,168,170,173,176,179,182,184,184,185,181,214,143,155,158,116,192,180,182,181,180,178,177,176,176,174,173,160,165,170,174,175,178,183,186,186,187,187,185,222,159,158,180,102,185,185,184,184,183,181,181,180,179,178,175,164,169,172,176,178,181,185,188,189,190,191,188,228,172,152,200,105,176,191,187,186,185,183,183,183,182,181,178,167,171,174,178,181,183,188,190,190,190,195,194,224,161,149,209,113,164,199,189,189,187,186,185,184,183,183,181,169,174,176,180,184,188,190,190,197,201,177,195,243,169,156,212,121,152,201,191,192,190,188,189,187,186,184,182,171,175,179,183,186,190,191,190,206,233,182,165,194,162,146,228,137,145,204,191,193,193,192,191,190,189,186,184,172,177,181,185,188,188,197,235,176,165,212,161,117,110,113,207,142,137,205,194,195,195,193,192,193,191,189,188,175,179,183,186,191,190,213,210,198,155,206,201,197,167,112,149,137,129,208,198,198,198,195,193,193,192,191,190,176,181,184,189,194,193,212,196,165,150,164,196,212,211,135,88,108,121,208,198,199,198,196,195,193,193,193,191,178,184,187,190,195,197,206,222,185,131,92,91,124,207,168,96,68,113,210,200,201,201,199,197,197,196,194,194,180,184,190,194,196,200,203,238,197,139,101,89,80,190,208,134,66,98,209,204,204,202,201,200,200,198,194,194,181,187,192,195,199,201,205,230,194,147,110,121,137,202,232,173,100,83,205,208,206,204,203,201,201,199,197,194,184,189,193,197,201,204,207,241,205,149,132,124,171,239,225,178,130,80,200,212,206,205,204,203,202,201,199,197,185,190,195,200,204,207,210,245,210,159,141,143,204,245,204,153,114,81,203,211,209,207,206,205,204,202,202,199,186,192,196,199,205,208,211,244,219,178,160,151,224,235,183,132,87,101,217,209,210,209,208,208,207,204,203,199,189,195,199,203,207,208,211,238,221,178,169,158,233,224,169,122,79,110,224,211,213,211,209,209,209,207,203,200,190,196,201,205,207,212,212,229,221,182,182,163,224,208,154,113,71,117,225,213,215,214,211,209,208,207,205,203,190,197,202,207,210,212,213,222,226,198,196,163,216,191,136,101,64,137,229,214,215,215,214,211,209,210,207,204,191,198,203,207,211,212,217,220,227,204,198,156,199,169,118,95,63,166,229,216,216,215,214,213,212,211,209,206,192,199,204,207,211,214,218,221,234,199,169,136,182,145,122,98,76,207,224,219,219,216,215,214,214,212,209,207,194,200,205,208,212,216,218,222,239,209,166,156,180,133,140,79,132,233,220,222,222,219,217,216,215,214,211,207,194,200,205,209,214,217,216,227,246,225,194,186,162,128,127,67,191,230,220,223,223,220,218,218,216,215,212,209,193,199,202,208,213,217,212,227,229,203,202,184,150,122,99,91,219,224,222,221,220,218,218,217,216,214,213,210,193,198,204,209,213,219,208,233,221,183,182,169,131,109,74,124,231,223,223,222,221,220,218,216,215,214,213,209
5,181,182,186,189,188,188,189,190,191,190,193,191,192,192,193,191,197,184,192,190,189,188,186,186,185,183,182,181,183,186,189,190,190,190,193,188,208,197,157,198,194,194,195,191,223,148,183,195,193,190,188,188,187,185,184,183,185,187,190,192,192,195,196,191,205,230,137,193,198,195,193,201,234,133,179,200,193,193,191,190,189,188,187,187,187,189,191,195,194,193,198,195,200,242,147,183,203,199,192,226,211,128,195,198,195,195,194,193,191,190,190,188,190,192,194,194,199,218,164,195,202,253,171,175,207,198,201,241,174,140,208,197,198,198,196,196,195,193,191,189,192,195,196,198,194,236,161,172,206,255,198,167,210,195,225,236,150,168,208,200,202,198,197,198,197,196,193,193,195,196,197,201,193,234,194,150,213,250,191,160,208,204,232,200,131,192,206,203,203,201,200,199,197,195,195,195,196,198,200,202,196,229,232,154,207,240,179,148,210,212,212,143,145,212,204,205,204,203,202,201,200,197,197,196,197,199,202,204,199,214,255,176,191,240,201,152,204,204,195,121,184,213,206,206,206,204,203,203,202,201,199,199,199,200,202,205,204,209,255,207,161,238,200,162,172,183,182,134,204,211,207,208,209,205,205,204,203,203,202,200,200,202,203,205,207,206,249,251,178,207,193,176,130,158,160,149,212,211,210,210,210,208,207,207,205,203,202,200,202,203,205,207,209,206,229,255,245,189,164,177,124,132,135,170,218,212,212,208,207,206,206,204,204,205,205,204,203,205,208,208,209,210,211,250,255,234,156,150,133,126,116,183,218,207,215,222,227,229,229,221,207,206,193,195,205,207,209,210,211,213,210,229,255,253,208,139,124,125,117,143,189,203,198,178,189,206,190,193,207,192,142,174,207,208,209,211,212,214,215,213,250,255,221,155,126,123,119,128,149,173,150,117,141,155,154,170,179,177,142,200,208,210,212,212,215,216,218,213,238,255,219,155,127,119,117,129,124,117,127,183,217,213,217,214,213,187,156,210,209,210,213,214,216,218,220,215,236,255,220,161,131,116,121,119,117,176,214,224,217,219,210,210,197,153,200,214,210,212,214,216,217,220,220,216,244,255,221,167,134,120,115,95,195,237,220,218,221,210,196,213,153,175,222,209,210,214,217,217,217,219,220,218,249,255,214,165,133,118,110,109,163,195,220,221,202,196,200,192,128,194,219,213,212,215,218,219,218,219,220,223,255,253,206,165,129,109,107,121,116,133,156,170,177,195,196,150,158,218,219,208,212,215,217,218,219,221,219,229,255,247,204,159,125,105,107,112,123,146,147,158,183,176,151,177,221,224,178,130,210,214,217,218,219,222,218,237,255,242,196,151,129,108,113,119,142,162,156,153,161,139,187,224,221,206,123,121,213,215,218,219,220,222,219,245,255,230,182,157,139,111,120,141,157,161,160,136,130,199,227,215,227,185,117,120,214,216,218,221,222,223,223,254,255,217,179,169,145,113,122,148,159,159,147,139,209,229,219,230,191,115,105,92,214,217,220,223,225,222,231,255,253,216,187,172,145,114,120,148,149,148,129,205,234,223,229,218,135,103,100,83,215,218,219,222,222,220,243,255,249,224,197,165,135,107,112,134,137,120,179,235,224,232,187,130,110,99,84,73,219,220,223,224,228,227,253,255,246,224,178,127,102,82,89,100,116,172,233,230,233,174,120,112,103,96,85,70,200,204,208,210,188,208,255,252,229,196,132,85,74,63,72,56,137,244,228,231,167,107,108,102,92,90,92,79
22,156,157,157,157,157,158,158,157,157,158,158,158,157,156,155,153,154,154,153,151,150,150,149,147,146,144,142,140,159,160,160,160,160,161,161,160,160,160,164,161,159,159,160,160,156,156,154,154,154,153,151,149,148,146,145,143,162,162,163,163,163,163,163,162,162,164,139,158,164,161,152,144,161,158,157,157,155,155,153,151,152,151,147,146,164,164,165,165,166,166,166,165,165,163,119,130,170,164,162,107,152,163,160,159,159,157,155,156,131,139,152,148,166,167,167,168,167,168,168,168,166,162,136,106,170,164,168,107,134,169,161,161,160,159,157,163,112,107,158,148,168,168,170,171,169,169,171,169,168,167,150,95,160,168,168,107,118,173,162,163,161,159,162,159,99,115,160,152,170,171,172,173,172,172,173,172,172,168,152,90,146,175,170,112,110,173,164,165,164,161,167,146,90,133,161,153,173,173,173,173,173,174,174,173,174,171,161,110,124,180,174,121,103,172,167,168,165,164,171,129,89,154,158,155,175,174,174,175,175,176,176,174,175,175,170,129,106,179,175,114,94,171,169,169,166,170,166,116,103,167,158,157,176,176,176,177,177,177,177,177,177,177,174,138,87,172,178,111,92,170,172,170,167,169,149,92,130,169,160,160,177,178,178,178,178,178,177,178,179,178,173,153,90,144,184,122,95,167,176,171,169,162,127,83,161,165,161,161,178,179,179,179,179,179,178,179,178,181,169,158,124,103,178,127,92,166,178,173,174,165,108,109,176,164,164,162,180,180,180,180,180,180,180,180,180,181,176,162,145,115,152,129,105,145,180,176,171,151,93,147,174,166,166,166,182,182,182,182,181,182,182,182,181,182,183,166,164,173,168,153,158,109,112,165,165,123,94,173,170,168,167,165,183,183,183,183,183,183,182,183,183,183,185,174,166,153,145,147,156,113,82,90,119,89,125,182,169,169,168,166,184,184,184,184,183,184,184,185,185,184,185,181,175,133,71,100,149,128,105,96,97,67,155,179,173,172,169,167,184,185,185,185,184,185,185,185,185,185,185,182,166,117,81,62,112,134,118,114,111,63,159,181,174,173,172,170,185,186,186,186,186,186,186,187,187,186,185,179,164,140,107,71,68,75,99,114,95,58,128,187,174,175,172,171,187,187,188,188,188,189,188,188,189,188,187,175,167,146,101,73,79,80,102,141,117,77,83,183,175,175,173,172,188,189,189,189,189,190,189,190,190,191,188,174,167,137,102,83,84,107,159,166,145,108,58,138,184,174,174,173,188,188,189,189,189,189,190,190,190,190,188,176,169,149,116,87,88,134,177,182,163,136,66,108,188,174,174,173,188,188,189,189,189,189,190,189,189,189,189,174,168,154,122,87,96,151,181,177,160,125,62,120,186,172,174,172,189,189,190,190,190,190,190,190,191,190,190,171,162,166,126,93,104,165,183,164,138,107,54,148,182,172,173,171,190,190,190,190,191,191,191,192,191,191,191,168,159,162,129,95,104,172,172,149,120,97,66,170,179,174,175,179,190,190,190,190,190,190,191,191,191,191,192,167,154,153,129,93,95,161,159,146,112,81,80,180,178,183,175,130,195,196,197,197,197,197,198,198,198,196,199,179,153,154,128,99,97,155,157,136,100,60,108,196,175,137,89,51,133,137,140,145,148,151,155,156,159,164,169,167,154,148,127,112,94,146,151,120,85,55,133,139,83,53,51,49,96,96,96,98,97,95,96,95,94,97,96,106,158,148,126,114,89,118,123,91,66,54,66,55,39,48,56,43
20,149,152,156,159,163,165,167,170,171,173,174,175,176,176,178,178,180,176,179,177,177,176,177,176,176,175,174,173,150,154,158,162,165,167,169,171,173,175,176,177,178,179,179,179,207,152,162,178,179,179,178,178,178,177,176,176,152,156,160,164,167,169,171,174,175,177,177,179,181,182,181,181,220,143,161,166,153,187,180,181,181,179,178,177,154,158,160,165,169,170,173,175,176,178,179,181,182,183,182,184,217,148,181,180,129,189,183,184,183,182,182,180,155,159,162,166,170,171,175,177,178,179,182,183,184,185,183,187,225,164,179,197,127,184,186,185,185,184,183,182,157,161,164,168,171,173,176,179,181,182,184,185,186,189,184,192,228,163,183,213,135,179,189,188,188,187,185,184,159,163,166,169,173,175,178,181,183,184,185,185,186,186,185,201,218,158,195,209,135,176,193,190,189,188,187,185,161,165,168,171,175,178,180,182,184,185,188,189,189,202,188,202,221,157,202,205,129,176,195,191,191,190,188,187,162,167,170,174,177,179,182,183,186,188,189,183,208,239,213,153,175,157,201,201,132,182,196,193,192,191,190,189,163,168,172,176,178,181,183,185,188,189,194,214,208,193,202,157,114,122,180,183,134,187,198,195,193,193,192,190,165,169,173,176,180,183,186,187,190,186,214,235,221,165,181,186,176,145,133,154,130,191,198,196,195,194,194,193,167,171,174,178,181,185,188,188,191,190,220,183,176,207,144,188,214,177,115,119,123,195,197,197,196,195,195,195,168,172,176,179,182,186,188,189,192,190,221,172,112,126,97,125,205,190,136,107,115,195,200,199,199,197,197,197,169,174,177,181,184,188,190,192,194,195,218,179,163,130,110,101,173,223,168,111,109,196,202,200,200,199,198,198,171,175,178,182,186,189,190,193,195,197,230,213,167,134,126,129,149,236,198,131,100,193,204,202,202,200,200,200,172,175,179,183,186,189,192,195,196,199,233,198,149,132,136,149,174,239,215,155,104,186,208,203,203,201,201,200,174,177,180,185,188,190,194,196,196,200,232,203,163,150,153,161,210,239,212,168,111,184,208,203,204,203,203,203,176,179,181,186,190,192,195,197,199,201,236,215,178,158,167,184,237,237,201,166,114,183,212,207,206,205,204,203,176,180,183,187,191,194,195,199,201,203,236,224,191,162,179,205,239,233,198,160,117,183,215,208,206,205,206,206,176,180,183,187,189,193,195,199,201,200,233,230,196,177,180,222,238,219,193,155,112,180,216,207,207,207,207,206,176,180,184,188,189,193,196,199,201,200,230,233,200,198,185,226,235,207,186,150,106,177,217,208,207,205,205,205,177,182,185,188,191,195,198,200,202,200,222,236,211,211,197,212,225,197,178,147,99,178,218,208,209,207,205,205,177,182,184,188,192,196,198,200,203,203,212,235,219,215,203,190,207,178,170,137,97,185,217,210,210,209,208,207,177,182,186,190,193,196,198,201,203,204,208,234,228,210,185,170,184,166,170,133,102,204,214,210,211,208,212,211,179,183,187,191,193,195,198,201,207,215,208,233,220,192,159,149,172,165,163,112,129,220,211,213,212,218,201,142,175,180,185,191,194,199,201,209,192,109,88,224,207,174,149,143,182,161,148,91,170,232,217,219,221,200,126,101,136,138,140,143,145,149,150,156,146,82,31,181,220,183,149,156,197,140,119,73,65,160,187,185,181,121,91,93,106,104,107,110,111,109,108,110,124,129,92,118,193,172,153,171,188,115,96,51,38,86,111,117,125,103,81,72
6,200,200,200,200,200,200,200,200,200,199,199,198,196,195,194,192,191,190,189,188,187,185,184,182,181,179,176,175,201,201,202,201,202,202,201,201,202,201,201,200,199,197,196,195,194,192,191,190,188,187,186,184,183,181,179,177,202,203,203,203,203,203,203,203,204,204,202,201,201,200,198,197,196,195,194,192,191,189,188,187,185,182,180,179,204,204,205,205,205,205,206,206,206,206,205,204,203,201,201,200,198,197,195,194,192,191,189,187,185,183,182,181,206,206,206,207,207,207,207,208,208,207,206,205,204,203,201,199,196,192,187,184,183,180,175,173,178,177,179,183,207,207,208,208,208,208,209,209,208,205,201,197,195,191,185,179,172,162,152,153,156,154,147,154,177,172,167,182,208,208,209,208,208,209,209,205,193,178,169,164,164,163,158,152,147,139,131,137,137,134,133,138,156,154,160,182,209,210,210,210,209,208,201,188,169,151,143,145,149,152,150,144,132,123,117,117,117,121,125,127,139,156,176,187,211,211,212,211,205,194,183,174,161,140,122,122,124,126,127,124,115,112,121,137,150,161,169,176,183,188,190,190,212,213,212,204,187,175,172,168,157,136,107,89,80,102,142,158,165,170,182,193,197,198,198,198,197,195,194,193,214,213,205,185,172,171,172,170,165,151,117,80,62,87,134,164,186,202,206,206,204,202,201,200,199,197,195,194,212,204,188,176,174,177,177,176,173,152,107,71,62,64,73,84,112,175,206,207,207,205,203,202,200,198,197,195,194,183,179,180,180,181,177,172,167,133,86,62,58,61,64,63,67,124,197,209,208,206,204,203,201,199,198,196,176,177,182,183,181,177,168,164,161,135,100,69,51,54,60,62,62,92,180,209,209,207,205,203,202,200,198,196,176,179,184,184,180,171,163,165,165,159,134,89,56,52,52,55,80,131,192,209,208,208,206,204,202,201,199,198,178,181,184,183,175,165,161,162,162,159,132,85,59,56,56,62,133,197,209,210,209,208,207,205,204,202,200,199,179,181,181,174,166,161,158,154,150,143,115,73,53,53,56,69,152,210,212,211,209,208,207,206,204,202,201,200,177,174,168,165,162,158,154,146,139,137,122,83,52,49,57,110,187,211,211,210,208,207,207,205,203,201,199,198,166,160,157,158,153,146,139,135,137,146,139,98,61,56,63,146,209,213,210,209,208,208,207,204,202,198,192,184,158,156,153,146,137,132,130,133,138,143,128,88,62,58,76,162,212,214,211,210,209,207,206,198,180,159,135,115,153,149,141,135,130,128,125,121,117,111,91,75,81,97,144,199,214,212,208,199,193,191,183,149,106,81,67,60,136,126,118,122,124,120,108,93,84,82,90,129,167,187,206,212,196,172,153,125,113,110,100,77,61,56,47,46,101,87,84,97,104,99,86,76,81,107,143,181,195,198,198,184,135,97,79,56,52,52,48,47,44,47,41,33,66,61,74,89,93,91,86,87,98,115,125,129,129,129,124,106,79,64,56,44,35,41,37,37,35,37,34,26,56,73,101,108,109,110,108,107,110,110,110,104,91,80,71,61,54,49,44,43,30,34,32,31,32,32,28,24,59,91,117,117,117,119,117,114,116,115,110,95,69,53,52,49,43,42,39,39,29,26,28,27,29,30,24,25,64,99,114,114,115,116,114,112,111,105,89,65,51,40,42,44,38,36,34,34,29,20,24,25,28,28,22,26,71,103,112,113,116,115,113,111,104,88,70,47,43,37,35,41,34,32,29,30,28,18,22,25,27,27,22,26
7,176,179,181,183,184,185,187,188,189,190,189,190,189,189,188,189,190,192,190,190,190,188,187,186,185,182,179,178,179,180,182,184,187,188,188,191,190,190,192,193,191,192,192,193,193,194,192,192,192,191,190,188,187,185,184,183,179,182,184,186,188,190,192,193,193,193,194,194,195,195,196,196,196,195,193,195,195,193,192,190,189,188,187,185,181,185,187,189,190,192,193,195,196,195,196,197,197,197,197,196,196,197,196,195,196,194,194,193,191,191,189,188,184,188,190,192,193,194,195,197,197,197,198,198,197,200,199,198,199,199,198,198,197,197,196,194,194,194,192,189,186,189,191,193,195,196,197,199,199,200,200,199,199,201,201,201,201,200,200,200,199,199,198,196,196,195,195,191,188,191,194,195,195,198,200,201,202,201,203,202,202,202,204,203,203,202,203,203,202,201,200,199,199,196,197,196,188,191,194,196,197,200,201,202,202,205,203,203,205,204,203,204,205,204,204,204,204,202,203,198,196,198,196,196,190,192,195,197,198,200,201,206,212,215,188,163,181,195,197,195,197,203,200,201,196,200,192,204,214,195,198,195,193,195,195,198,202,210,213,214,217,216,207,160,140,169,182,181,183,177,174,182,180,189,177,199,187,185,203,197,193,197,208,214,217,216,213,210,202,198,194,155,131,147,166,176,176,172,170,166,162,170,157,153,148,188,199,199,211,219,218,216,213,207,200,189,182,191,201,169,131,122,128,142,159,172,164,162,171,169,163,176,173,174,193,183,229,221,212,207,199,193,188,186,189,198,204,175,135,133,133,125,123,114,128,139,139,147,141,145,153,154,153,177,225,217,207,194,184,179,177,180,185,197,185,153,129,127,142,151,142,115,138,203,194,187,183,183,181,183,191,208,218,213,206,192,182,179,180,175,172,186,192,161,118,105,126,138,139,137,119,211,220,217,218,217,215,214,212,208,212,210,207,198,191,185,185,185,181,188,201,172,135,135,139,127,128,106,149,224,213,215,214,213,212,211,210,209,206,202,199,198,196,190,186,183,183,188,192,171,144,150,152,141,137,118,211,220,216,218,216,215,214,213,213,212,189,186,190,196,197,194,186,180,179,178,160,147,131,124,132,138,112,173,230,215,217,218,217,216,216,216,214,214,91,102,134,174,196,189,175,165,154,141,133,122,81,62,84,117,116,212,221,218,218,218,217,214,212,212,219,186,26,25,33,61,112,149,136,142,151,169,197,212,122,76,104,123,182,225,219,220,219,217,214,218,221,226,178,103,28,23,19,14,15,30,162,215,220,226,223,229,208,161,189,211,226,221,222,221,218,218,226,209,167,145,99,77,20,15,12,15,0,58,235,218,219,219,220,220,222,227,226,223,220,223,222,220,224,223,182,118,95,84,74,60,14,11,8,9,0,63,232,216,219,220,221,222,221,219,220,221,223,223,222,224,221,137,71,69,88,75,67,60,11,13,10,11,0,54,237,219,223,223,223,225,225,225,224,226,225,225,227,228,165,92,60,41,62,61,55,58,19,23,17,7,0,44,217,203,210,212,213,215,217,217,218,221,221,223,220,135,77,100,60,30,38,55,47,50,31,25,9,0,0,16,118,114,117,120,122,126,130,131,133,136,134,140,139,81,54,92,56,23,27,39,40,41,39,17,0,0,0,35,109,98,98,101,100,101,101,101,102,99,99,118,117,69,46,84,51,21,24,31,34,36,31,0,0,0,0,64,122,110,113,114,113,112,112,111,111,109,114,100,82,64,44,74,44,23,20,26,29,31
5,82,88,95,102,108,115,120,123,125,130,134,137,139,142,145,146,156,135,139,155,157,158,158,159,159,160,160,159,83,89,95,103,109,116,121,124,127,131,134,138,142,144,147,148,170,121,116,156,158,159,159,160,161,161,162,161,84,90,97,104,111,118,123,126,129,131,142,133,141,147,148,160,160,94,128,158,159,160,162,162,163,164,164,164,85,92,99,106,113,118,124,128,130,134,168,112,125,149,150,180,128,82,148,161,161,163,164,164,164,164,165,164,88,93,99,107,115,119,125,130,132,145,158,95,130,152,160,182,110,98,161,163,164,166,166,166,166,166,167,167,88,95,100,108,120,137,113,130,131,167,129,85,144,152,183,151,96,129,165,165,166,167,167,168,167,169,169,169,89,95,101,109,131,150,93,130,133,179,119,96,150,166,176,111,93,157,165,167,168,168,166,170,170,170,170,170,90,95,102,111,137,166,90,129,142,159,105,115,153,184,155,96,112,165,166,171,186,174,133,165,172,172,172,171,91,96,103,112,135,194,112,121,151,143,96,135,159,190,146,102,142,168,177,186,180,186,136,158,174,174,174,174,91,96,105,115,124,206,170,132,150,149,115,135,170,174,130,104,160,178,192,163,149,182,112,162,175,176,176,175,92,97,106,114,119,194,210,190,155,138,120,124,160,146,120,126,173,189,153,114,143,171,99,155,178,178,177,178,94,98,107,115,122,146,205,215,178,132,106,101,116,114,120,155,182,175,132,95,162,168,101,125,181,180,179,179,93,99,109,117,125,131,160,219,184,140,103,90,90,95,115,158,151,136,109,116,176,161,107,99,180,181,182,182,93,99,110,118,127,133,135,214,192,150,118,93,87,88,105,132,129,105,94,164,189,174,119,100,180,182,183,183,94,101,111,119,128,132,134,212,202,162,136,104,86,85,94,113,114,90,137,177,192,179,128,109,183,185,185,185,95,102,112,121,129,134,136,217,211,176,151,114,87,85,92,115,131,137,163,166,187,177,125,114,185,186,186,187,95,102,113,122,129,135,136,214,216,186,156,114,86,81,98,134,159,167,166,145,149,168,120,123,187,187,187,188,95,103,114,123,129,136,137,209,221,189,159,121,91,82,115,157,168,166,158,133,118,125,104,132,188,188,189,190,96,105,115,125,130,137,137,193,218,190,166,132,102,100,126,155,160,153,143,119,101,98,94,147,189,189,191,191,96,106,117,125,131,136,138,179,216,194,169,138,107,104,137,146,148,132,126,107,95,93,127,182,190,191,193,193,96,107,116,125,133,138,139,180,221,195,158,128,106,93,122,127,128,112,107,97,96,137,183,190,193,193,192,193,97,107,117,126,133,139,137,185,216,177,140,112,99,95,108,115,112,98,94,98,151,186,190,191,194,194,194,193,97,108,118,127,134,140,139,192,209,169,136,107,104,106,100,106,97,90,92,150,188,190,192,193,194,194,195,194,97,108,119,128,135,141,159,198,204,175,141,109,112,113,97,95,87,87,146,186,190,193,194,194,195,195,195,195,98,108,119,128,136,161,210,213,189,160,137,113,112,106,89,84,76,130,185,190,192,194,194,195,196,196,196,196,99,108,119,128,147,203,217,217,205,178,128,108,103,98,84,79,79,174,189,190,193,195,196,196,196,197,197,198,98,108,118,130,193,208,215,203,190,187,170,131,99,88,77,74,96,185,188,190,193,195,196,196,198,197,197,198,98,108,118,161,208,206,203,193,187,165,172,160,117,95,84,78,79,159,186,189,191,194,194,195,197,197,196,198
20,156,158,159,159,160,159,159,159,160,159,159,159,159,158,156,155,154,152,151,150,148,146,144,143,141,140,138,136,160,162,162,163,163,163,162,163,163,163,163,163,164,152,147,158,157,156,155,152,151,149,148,145,144,142,141,139,164,166,166,166,166,166,166,165,166,166,166,167,177,151,111,158,159,158,158,156,154,153,151,148,147,145,144,143,169,169,170,170,170,171,171,170,170,170,171,170,176,154,90,105,132,162,161,159,158,156,154,152,150,149,146,144,173,173,174,174,174,174,174,174,174,174,174,174,181,151,81,111,101,158,165,163,161,160,158,156,154,152,150,147,175,176,177,178,178,179,179,178,178,179,178,178,185,142,79,141,109,139,169,168,165,163,162,159,158,156,154,151,179,180,181,181,181,182,181,181,181,182,182,181,191,147,89,157,115,121,172,171,169,167,166,163,161,159,157,156,183,183,184,184,184,185,185,185,185,185,185,184,197,142,90,164,136,116,175,174,173,171,170,167,163,163,160,160,185,185,186,186,187,187,187,187,187,188,187,189,199,127,93,173,143,106,177,177,175,174,173,171,167,165,163,162,188,189,190,189,191,190,190,190,191,190,184,191,197,128,108,185,142,99,178,180,178,176,175,173,171,168,167,162,192,193,193,193,194,193,193,193,193,191,175,164,173,137,107,180,146,98,180,181,180,179,178,175,173,171,169,149,194,195,195,196,196,196,196,196,195,198,202,189,157,128,101,166,153,108,178,184,183,182,180,179,176,173,172,160,198,198,198,199,199,199,199,198,199,191,169,184,161,162,108,139,141,106,175,187,186,185,182,181,178,177,174,165,200,200,199,200,200,201,201,201,201,199,152,119,164,176,102,87,104,92,169,190,188,187,185,183,180,178,175,168,202,201,200,201,201,202,202,203,203,202,149,75,153,168,122,84,77,75,159,192,191,188,187,186,182,179,178,176,203,203,202,202,202,203,203,204,204,199,154,101,120,156,147,110,99,67,145,194,193,190,188,187,184,181,180,178,204,204,204,204,205,206,206,205,197,192,163,131,88,98,144,132,110,68,125,197,195,192,191,188,186,184,181,179,207,207,207,207,207,207,207,202,197,179,174,159,117,93,114,136,118,80,103,198,197,194,193,191,189,186,182,180,208,208,208,207,208,208,206,197,177,134,140,159,136,91,96,132,149,107,82,188,199,196,194,193,191,188,185,182,209,210,210,210,210,210,207,197,185,143,86,118,128,78,77,120,162,133,82,138,200,198,196,194,191,189,187,185,211,212,211,211,211,212,209,196,175,146,106,81,110,84,82,157,177,155,93,101,201,200,198,197,193,191,189,187,211,212,213,213,213,213,211,195,190,172,112,89,111,110,129,190,183,143,86,112,202,201,199,197,195,193,191,189,214,214,215,215,215,216,214,194,194,178,127,105,121,181,199,193,162,126,71,147,202,202,200,198,195,194,192,189,215,215,215,216,216,217,216,193,187,175,141,108,126,200,202,177,140,112,69,181,204,202,201,200,197,195,193,190,215,215,215,215,216,217,217,192,175,167,143,114,123,191,185,160,124,94,83,200,204,202,201,200,198,196,195,191,215,215,215,216,216,217,217,200,176,167,144,127,124,187,179,145,107,76,118,206,204,202,201,198,197,191,173,138,216,217,216,217,217,217,217,212,179,167,152,133,116,175,163,126,89,66,175,206,205,203,200,193,168,112,68,60,216,218,218,218,219,219,219,215,188,170,152,130,111,142,131,96,67,95,204,208,205,197,160,107,68,53,42,48
10,81,88,98,103,107,111,114,116,119,120,122,124,125,126,127,129,133,132,133,134,135,137,138,139,139,139,141,142,82,89,99,104,107,112,114,116,120,121,122,125,126,127,128,130,117,131,135,135,137,138,138,139,140,141,142,142,83,91,101,105,108,113,115,117,121,123,124,125,127,129,132,142,96,117,139,135,138,140,140,141,142,143,143,143,85,94,102,106,110,113,116,118,121,123,124,126,129,129,137,147,101,101,140,136,139,140,141,142,142,144,144,144,87,94,103,107,110,113,117,120,122,124,125,127,130,129,137,147,110,93,140,137,141,142,142,143,144,145,145,146,86,96,105,108,110,115,118,120,121,124,126,127,131,133,133,147,122,92,136,140,141,143,143,143,145,146,146,147,87,96,106,108,111,117,119,120,123,125,125,136,117,119,136,151,135,93,126,144,140,142,143,144,146,146,146,147,89,98,105,109,114,117,119,121,123,125,126,142,115,81,134,149,139,98,110,147,141,143,143,145,147,147,147,148,91,100,106,109,114,117,120,124,129,127,135,132,112,67,117,148,135,100,101,147,142,144,144,147,147,147,149,149,91,101,108,110,112,123,120,112,109,108,126,144,122,86,95,151,123,99,93,147,143,145,145,147,149,149,149,150,92,101,107,111,111,129,108,79,68,68,70,127,138,100,72,137,107,97,86,145,144,146,147,148,150,150,150,151,93,103,107,112,114,116,99,76,61,74,73,93,140,113,71,118,90,94,81,139,146,147,149,149,150,151,151,151,94,103,107,110,115,119,118,114,105,86,72,80,139,124,80,92,75,90,76,132,150,147,149,150,151,152,152,152,94,103,108,112,116,121,120,141,152,101,56,97,147,129,88,64,72,87,78,121,152,148,150,150,150,151,152,152,96,104,108,113,118,119,118,143,147,105,51,90,160,128,98,62,70,87,78,106,155,148,150,150,151,152,152,152,96,105,108,114,115,129,139,140,153,113,43,96,171,127,103,68,69,83,77,93,155,150,151,151,152,153,153,153,98,106,109,114,112,139,154,136,147,111,46,130,158,128,97,68,61,78,74,80,154,150,151,152,152,154,154,155,99,106,109,114,115,126,152,131,138,108,107,166,138,130,98,70,63,74,66,93,157,149,151,152,153,154,154,154,98,106,109,113,117,120,131,115,124,126,157,163,137,125,103,74,66,72,60,125,155,150,152,153,154,154,154,155,99,106,109,113,117,119,131,112,126,157,169,158,138,118,100,78,67,64,71,148,150,151,152,154,154,155,155,155,101,107,109,112,118,119,140,143,121,149,169,151,134,116,99,79,68,56,95,157,149,151,152,154,154,154,155,155,102,107,109,113,119,117,149,157,121,130,169,150,135,113,99,80,68,55,122,155,149,151,152,154,155,155,155,155,102,106,111,115,120,118,154,160,136,148,163,149,135,114,100,84,65,66,146,149,150,152,153,155,154,155,156,156,101,106,110,115,119,119,160,168,143,152,161,149,136,115,101,86,58,93,157,148,151,153,154,155,155,155,155,156,102,106,110,115,120,118,159,165,149,152,154,153,145,118,100,85,57,122,154,149,151,152,153,155,156,156,156,157,102,105,110,115,119,118,154,158,143,153,150,154,150,121,99,79,66,145,150,150,152,152,154,154,156,156,157,157,102,105,110,115,119,120,145,147,144,152,152,154,148,119,98,69,92,155,148,151,152,154,155,156,156,156,156,157,102,107,111,116,119,122,136,145,152,159,150,150,144,116,94,65,123,154,148,151,152,154,155,156,156,156,156,158
4,207,207,207,207,207,207,206,206,204,202,202,200,201,203,200,199,199,195,194,194,193,193,192,192,190,187,185,185,208,208,208,208,208,208,206,207,207,204,205,206,206,204,201,197,199,201,194,194,194,193,193,192,190,189,186,185,210,210,210,209,209,208,208,208,207,206,195,181,185,199,202,174,143,164,204,198,199,199,192,193,191,190,187,187,212,212,211,210,210,209,210,210,209,210,200,192,178,157,158,172,162,122,165,186,160,175,197,192,193,191,189,188,212,212,211,212,211,212,210,211,203,202,198,191,186,179,137,114,152,156,121,116,124,101,163,200,191,192,191,189,214,213,213,213,212,213,211,207,194,194,181,150,108,160,144,89,116,155,122,87,116,106,112,202,192,193,192,190,215,214,214,215,214,213,212,208,208,196,185,159,103,122,146,96,98,134,104,86,129,125,94,183,197,193,192,191,214,214,214,214,213,213,215,208,165,134,162,178,121,116,153,143,127,125,93,97,137,127,93,179,200,192,192,191,216,215,215,215,214,214,213,215,179,119,82,186,161,131,153,173,174,130,127,128,127,148,109,177,200,193,192,191,216,216,217,216,215,216,216,207,161,111,61,121,162,115,118,136,163,137,130,133,127,141,103,140,207,194,193,192,217,216,217,219,216,215,217,196,157,139,127,95,95,106,95,89,111,142,133,128,124,121,111,107,202,196,194,193,218,218,219,219,217,215,217,200,185,164,128,99,85,103,99,104,95,109,123,118,115,133,130,92,180,202,195,194,219,219,220,219,218,217,218,206,187,153,122,95,92,99,104,123,116,93,79,123,164,158,139,96,147,206,194,193,220,220,221,221,220,218,218,208,173,138,109,90,92,103,124,127,126,124,136,145,161,164,150,117,116,204,195,193,222,222,222,221,221,217,218,207,178,153,120,97,103,112,124,139,137,156,181,180,157,181,172,133,98,194,198,194,223,222,223,222,222,220,217,212,190,159,127,100,100,112,137,151,158,166,181,189,182,163,158,129,85,183,201,194,221,221,222,223,223,221,217,207,193,168,138,103,99,117,140,155,171,179,188,183,170,159,133,109,88,195,200,196,221,221,222,222,224,221,214,202,199,179,150,120,104,105,137,166,178,193,194,182,161,145,125,81,128,210,196,197,222,222,222,222,224,223,213,196,199,185,156,134,114,103,139,179,189,199,191,174,152,137,110,78,186,204,198,197,222,222,222,222,223,223,212,192,191,182,159,138,120,111,140,188,190,191,181,162,142,128,89,122,213,198,200,199,222,222,223,224,224,225,213,190,186,185,170,145,128,121,149,190,185,179,168,149,132,115,80,181,208,201,199,198,222,223,225,225,224,226,217,188,187,189,175,150,139,126,156,183,179,173,156,133,121,88,112,213,203,203,201,199,223,224,225,224,224,226,224,198,190,193,180,158,142,123,153,178,173,165,144,120,106,76,181,212,205,205,202,200,224,226,225,224,225,226,226,203,199,197,178,163,146,124,142,169,160,148,125,111,74,131,218,205,205,204,202,200,224,225,224,226,226,226,224,210,205,192,178,168,152,132,134,151,143,127,112,86,93,208,209,206,205,203,201,201,225,225,226,226,226,226,224,212,206,190,176,162,149,138,129,135,132,115,98,69,183,216,207,206,206,205,203,201,227,226,226,226,225,227,218,211,201,190,181,172,162,153,136,128,125,110,75,129,221,208,209,207,205,204,203,201,226,226,227,227,226,226,209,210,203,192,182,180,164,156,139,125,118,97,79,192,217,211,209,207,206,204,203,201
6,207,207,208,208,209,209,211,211,211,211,211,210,209,209,209,209,207,207,207,207,205,203,203,203,202,200,198,199,208,209,210,210,210,210,212,212,212,212,212,212,212,212,212,211,210,209,207,208,207,205,204,203,202,202,200,199,209,211,212,212,212,212,212,213,214,214,215,215,215,215,215,214,212,211,209,209,208,207,205,204,202,202,201,199,210,211,213,213,214,214,214,214,216,216,216,215,214,215,216,215,214,213,211,210,210,208,207,206,204,204,203,202,212,213,214,216,216,215,215,215,216,216,215,216,217,217,216,216,215,215,214,213,212,210,209,207,206,206,204,203,215,215,216,217,217,217,216,216,216,216,216,216,218,217,217,216,216,215,215,214,213,213,211,210,209,207,205,205,215,216,218,217,217,218,218,218,218,217,217,218,219,219,219,218,217,217,215,215,213,213,211,210,209,207,207,207,218,219,219,219,219,219,220,220,219,219,219,220,221,222,222,221,219,219,217,216,216,215,213,212,209,209,208,207,219,219,219,221,221,221,222,223,223,222,216,214,219,220,219,218,219,218,218,211,213,209,210,207,205,222,213,207,220,221,222,222,224,226,228,229,225,218,203,187,202,213,219,216,219,215,207,206,208,206,206,204,207,225,196,206,223,224,226,226,227,221,218,219,221,218,209,172,161,188,199,200,199,194,191,188,185,185,184,183,178,179,190,212,225,220,220,220,219,213,212,215,215,214,210,173,136,131,131,147,155,161,162,165,173,181,187,189,194,206,214,213,217,213,212,211,208,204,204,200,196,191,180,154,138,134,124,150,196,211,217,218,219,220,220,219,217,218,216,214,216,208,202,197,196,198,198,193,191,196,192,153,131,132,142,141,167,215,226,224,224,223,221,221,212,193,179,177,213,204,194,191,191,192,194,195,199,209,208,165,131,119,136,145,140,148,209,226,225,224,223,216,160,132,128,126,211,202,192,183,181,184,191,197,202,202,190,166,144,139,134,132,138,137,166,226,227,224,224,185,132,129,126,122,212,206,196,188,183,183,185,189,201,204,175,149,147,150,149,141,132,129,169,224,225,224,214,155,127,120,118,117,209,205,199,192,187,187,186,184,189,201,186,147,122,141,159,158,142,128,198,225,223,215,148,123,108,94,86,75,203,204,202,197,191,190,190,190,198,205,178,148,138,133,137,150,152,139,173,184,162,141,115,107,95,82,73,66,187,203,207,204,197,193,191,189,192,197,180,157,150,151,145,136,137,135,130,128,124,112,102,93,85,76,68,66,123,182,204,202,197,195,189,184,177,175,170,158,165,165,157,149,134,110,104,114,115,107,100,91,80,73,65,62,61,96,171,187,180,176,170,167,165,152,140,123,141,154,162,155,131,97,81,99,102,97,95,95,87,73,63,60,53,55,81,162,189,194,201,207,217,212,131,122,123,139,148,129,125,99,78,79,94,92,88,93,94,77,65,58,43,40,106,192,202,202,204,206,209,209,192,171,161,149,124,98,122,98,71,65,79,85,83,87,94,84,66,58,36,38,115,133,135,136,138,138,141,143,144,142,152,144,104,87,118,97,65,64,72,76,78,82,91,87,68,60,36,36,113,129,129,128,128,128,129,128,127,136,143,132,94,81,111,89,63,62,69,71,72,76,84,85,71,60,38,35,124,134,133,134,133,130,130,132,137,130,113,106,94,76,106,82,63,55,65,67,69,72,78,83,76,62,29,50,134,135,135,134,136,135,135,130,121,110,106,94,89,76,100,78,62,57,59,61,65,69,75,80,77,65
12,202,205,207,211,213,214,219,222,223,225,224,225,227,225,225,227,226,225,227,227,226,224,225,224,222,222,222,221,205,209,211,214,216,217,221,224,226,227,226,227,228,229,229,229,229,227,230,231,229,227,227,226,225,224,223,223,206,210,213,215,218,219,223,223,226,229,230,229,230,231,229,232,231,232,231,233,232,232,232,229,228,227,225,225,207,210,214,216,218,221,224,225,227,229,230,233,234,232,232,234,235,233,231,233,234,235,233,231,230,230,228,227,209,213,216,218,222,223,226,228,230,232,234,235,235,232,239,238,234,235,238,236,233,234,233,232,232,232,232,230,210,213,216,220,224,226,230,231,232,234,234,233,236,234,218,230,243,225,196,225,239,233,232,235,235,235,235,233,213,215,218,222,224,228,231,234,235,234,236,231,255,255,191,184,255,217,139,147,251,238,244,235,236,236,236,235,215,217,221,224,226,227,231,234,236,236,235,234,255,255,206,173,255,212,138,91,196,180,191,245,236,238,238,238,217,221,224,226,230,230,231,234,234,238,248,193,208,255,197,159,255,204,129,101,218,166,87,199,248,237,240,241,216,220,223,227,230,232,235,238,230,255,255,212,130,194,189,144,249,204,115,153,235,180,99,130,255,240,240,240,217,221,223,227,231,234,237,236,252,255,255,226,150,129,216,143,255,252,153,188,242,195,103,118,255,242,242,240,218,224,226,229,232,235,238,232,255,255,255,230,154,111,236,149,235,236,122,200,255,215,94,122,255,243,244,244,221,224,228,231,233,238,240,238,255,249,255,230,154,89,142,126,85,167,143,198,226,140,62,132,255,243,244,245,224,227,229,232,235,241,235,255,255,226,237,223,157,96,66,69,63,206,255,237,198,165,76,144,255,243,247,245,225,228,231,235,237,239,239,255,255,202,209,216,159,108,89,94,207,243,228,215,185,171,106,172,255,247,249,245,226,228,233,237,239,239,253,255,255,220,179,204,209,108,77,237,255,237,215,196,154,134,104,178,255,247,250,248,227,230,234,238,242,237,255,255,255,237,188,159,175,108,176,255,255,232,209,184,142,126,91,192,255,250,252,250,229,233,234,239,244,237,255,255,255,229,215,169,165,195,255,255,255,223,199,168,131,118,85,214,255,252,253,251,230,233,237,241,246,239,255,255,255,239,224,189,193,205,255,255,255,214,186,157,125,116,74,199,255,250,254,253,232,234,237,242,246,240,255,255,255,250,237,207,179,221,255,255,244,211,174,142,118,107,74,228,255,251,254,253,233,236,240,242,246,243,255,255,255,251,236,213,187,251,255,254,229,202,166,131,116,77,159,255,254,254,254,255,234,238,242,244,247,246,255,255,255,245,222,202,215,255,240,234,211,183,151,125,85,141,255,255,255,255,255,255,236,239,242,244,247,245,255,255,254,242,217,214,241,254,224,222,197,165,141,101,134,255,255,255,255,255,255,255,237,240,244,246,251,243,255,255,255,254,234,233,253,251,221,209,183,160,122,108,246,255,255,255,255,255,255,255,238,241,245,248,253,243,255,255,255,255,243,250,252,233,215,178,161,139,95,193,255,255,255,255,255,255,255,255,238,242,246,248,249,250,255,255,255,255,254,252,235,220,191,154,147,98,158,255,255,255,255,255,255,255,255,255,239,244,247,251,246,255,255,255,255,255,250,235,227,197,170,150,124,110,243,255,255,255,255,255,255,255,255,255,240,244,249,252,243,255,255,254,249,235,234,238,216,178,172,144,99,168,255,255,255,255,255,255,255,255,255,255
12,177,178,180,182,183,182,183,183,184,185,184,183,183,182,184,186,181,177,178,176,176,175,173,172,170,169,167,164,178,183,184,184,185,186,185,185,186,187,187,187,185,184,173,156,170,184,178,178,178,176,173,173,173,170,168,165,181,183,184,186,187,187,188,188,187,188,186,171,183,188,132,101,77,158,190,182,183,180,175,175,174,173,169,167,183,186,186,187,187,188,188,190,187,190,168,114,94,142,145,117,76,85,168,129,115,155,183,174,174,173,170,168,185,187,187,188,189,191,190,189,187,198,166,130,89,79,162,127,99,72,69,100,82,56,155,184,176,174,172,170,185,187,188,188,190,190,192,192,189,203,178,145,121,69,156,139,108,79,46,94,90,37,83,192,177,176,173,171,186,188,188,189,192,192,192,192,197,205,195,155,127,72,125,145,111,84,35,89,86,46,52,188,178,177,176,174,189,192,191,191,193,192,194,191,205,181,205,163,129,81,89,146,113,85,35,73,94,48,55,189,178,178,176,175,189,191,192,191,191,194,190,189,177,109,163,172,120,89,73,147,116,89,43,63,97,46,73,195,178,180,178,177,189,191,192,192,193,190,189,195,157,89,79,166,127,88,49,140,130,96,58,36,78,38,118,196,180,181,180,178,190,192,193,194,193,206,205,181,127,87,46,135,130,76,37,128,164,123,75,33,59,29,141,194,182,183,180,178,191,193,195,193,203,204,176,162,116,102,51,109,132,88,50,139,182,132,78,43,68,48,166,191,185,183,181,180,193,194,194,193,218,192,143,162,125,112,61,73,145,131,73,101,158,103,52,42,76,44,147,199,185,184,182,179,194,193,192,202,198,170,121,119,137,105,62,47,152,142,102,32,31,29,24,65,75,22,70,202,185,185,184,181,194,195,194,203,188,152,122,75,118,113,84,36,123,141,92,36,9,50,62,62,41,32,37,183,191,186,184,182,192,195,196,200,202,172,142,100,82,128,85,42,19,81,85,39,65,93,109,88,53,39,54,190,188,188,184,184,194,197,198,200,206,179,146,116,77,103,77,65,14,88,162,134,125,113,121,95,61,20,108,204,187,189,185,183,195,197,200,202,208,189,157,127,94,70,91,99,59,156,195,176,146,123,114,85,53,16,151,203,190,190,186,183,195,197,199,204,200,179,153,125,94,71,79,95,118,190,185,164,138,118,99,80,42,25,181,196,191,189,186,185,196,198,200,202,185,168,154,125,87,99,68,106,172,182,173,151,129,110,90,74,23,87,207,190,191,189,187,186,196,199,201,199,185,171,157,122,90,113,93,157,176,174,165,141,120,100,80,50,39,186,198,193,192,191,187,186,198,201,201,203,189,170,158,128,107,103,106,164,164,172,160,134,106,85,74,23,100,214,193,194,192,193,190,187,198,201,201,203,193,174,161,140,115,89,103,162,157,161,142,120,90,72,54,17,173,206,199,195,194,193,191,190,197,201,202,203,200,186,162,137,113,84,95,145,146,140,124,97,73,63,19,80,215,199,198,196,194,193,191,190,197,201,203,203,202,184,160,140,118,99,96,131,135,117,102,84,63,40,24,184,205,199,197,195,195,194,192,190,200,201,204,203,206,176,145,131,113,110,100,121,137,118,97,79,59,9,130,215,198,200,199,196,194,194,194,192,201,201,204,202,206,174,149,140,131,129,115,121,133,115,93,72,32,63,211,202,202,200,199,199,196,193,194,193,201,202,203,197,201,176,154,154,145,133,122,123,130,107,69,56,23,154,215,202,204,202,200,200,198,195,193,192
5,136,137,140,143,142,142,143,143,144,144,146,144,145,145,146,144,149,138,145,144,143,142,140,140,139,137,137,136,138,140,142,144,143,144,146,142,158,149,117,150,146,147,147,144,170,109,138,148,146,144,142,142,141,140,138,138,139,141,143,145,145,147,148,144,156,176,100,146,150,148,146,153,179,97,134,151,146,146,145,143,143,142,141,141,141,143,144,147,146,146,150,148,152,186,108,138,154,150,145,173,160,93,148,150,148,148,147,146,144,144,143,141,143,145,146,147,150,167,123,147,153,194,128,131,158,150,152,185,130,102,158,149,150,150,148,148,148,146,144,143,145,147,148,150,146,181,120,129,156,198,150,125,159,147,172,181,111,125,158,151,153,150,149,150,149,148,146,146,147,148,149,152,146,179,147,111,162,193,144,119,158,155,177,151,95,145,157,154,154,152,151,151,150,148,148,148,148,150,151,154,148,176,178,114,158,184,135,109,159,161,162,105,107,162,154,155,155,154,153,153,152,149,149,149,149,151,153,154,151,163,198,132,145,184,152,112,155,155,147,87,138,162,157,157,156,155,154,154,153,152,151,151,151,152,153,155,155,159,198,158,120,183,152,121,129,138,137,98,155,160,158,158,159,156,155,155,154,154,153,152,152,153,154,156,157,156,191,193,134,157,146,132,95,117,119,110,161,160,160,160,159,158,157,157,156,154,153,152,153,154,156,158,159,157,175,198,189,142,122,133,90,96,98,127,166,161,162,158,158,157,156,155,155,155,156,155,154,156,158,158,159,160,161,192,198,179,115,111,97,91,83,138,166,158,164,169,173,175,175,169,158,156,146,148,155,158,159,160,161,162,159,176,198,195,158,102,90,90,84,105,143,154,150,133,142,156,143,146,157,145,105,131,157,158,159,161,162,163,164,163,193,198,169,115,91,89,86,93,110,130,111,84,104,115,114,127,134,133,105,152,158,160,161,162,163,165,166,162,182,198,167,115,92,85,84,94,90,84,92,138,166,163,166,163,162,141,116,160,159,160,162,163,165,166,168,164,181,198,168,120,95,84,87,85,84,132,163,171,165,167,160,160,149,113,152,163,159,161,163,164,165,167,168,165,187,198,168,125,98,86,83,66,148,182,168,166,169,160,148,162,113,131,170,159,160,163,165,166,166,167,168,166,191,198,163,123,97,85,78,77,122,147,168,169,154,148,152,145,93,147,167,163,161,164,166,167,166,167,168,171,197,195,157,123,94,78,76,87,83,97,116,127,133,148,148,111,117,167,167,158,162,164,165,166,167,169,167,176,198,190,155,119,90,74,76,80,89,108,109,117,137,132,111,133,169,171,134,94,160,163,165,166,167,169,166,182,198,186,148,112,94,77,81,86,105,121,115,113,120,102,141,172,169,156,89,88,162,164,166,167,168,170,167,189,198,176,137,117,102,79,86,103,116,120,119,100,95,151,174,164,174,139,84,86,163,165,166,168,170,170,170,195,198,166,134,127,107,80,88,109,118,118,109,102,159,175,167,176,145,82,75,64,163,165,168,171,172,169,177,198,195,165,141,129,107,81,87,109,110,110,94,156,179,170,175,166,99,73,70,57,164,166,167,170,170,168,186,198,192,171,149,123,98,76,80,98,100,86,135,180,171,178,141,95,78,69,57,48,167,168,170,172,174,174,195,198,189,172,134,93,72,56,61,70,83,129,179,176,178,130,86,80,73,66,58,46,152,155,158,160,142,158,198,194,175,148,96,58,49,40,47,34,100,187,174,176,125,76,77,72,64,62,64,53
23,198,200,201,202,203,204,205,207,207,207,207,209,208,209,210,210,211,211,210,209,209,209,209,209,208,208,208,209,199,201,203,204,205,205,208,209,208,209,209,210,211,213,214,213,211,210,211,210,210,211,210,211,211,211,210,211,200,203,204,205,206,207,209,209,210,211,211,211,214,213,211,212,219,229,233,221,207,208,214,211,211,212,212,213,201,203,205,206,206,207,209,211,212,212,212,213,213,219,225,236,244,243,234,222,214,205,197,167,207,214,213,213,203,204,206,207,207,209,210,212,212,211,214,212,221,255,249,230,227,224,193,171,175,169,155,176,216,214,215,215,204,205,206,208,209,210,210,212,213,213,215,209,232,255,231,203,202,173,166,197,191,187,201,219,215,215,216,216,205,205,208,209,210,211,213,213,214,215,216,210,242,255,225,178,158,183,212,221,221,222,220,217,216,216,217,217,205,207,209,211,211,213,215,214,215,216,216,215,253,252,228,185,190,225,223,234,225,207,219,217,217,218,217,218,207,209,210,211,213,214,215,215,217,219,214,224,255,245,236,171,199,245,250,255,236,175,223,226,220,219,220,220,207,209,211,212,214,213,215,217,219,221,213,234,255,240,236,207,251,255,254,244,212,163,166,187,223,222,221,221,209,210,211,214,214,215,217,218,220,220,215,248,255,239,252,255,255,249,237,226,219,226,175,131,200,226,220,222,210,212,214,214,216,217,219,220,221,218,222,255,255,250,249,251,249,244,243,244,244,242,201,140,171,232,221,224,211,213,215,216,217,218,220,222,220,223,246,254,251,247,243,248,250,250,246,239,225,213,182,143,141,202,227,222,212,214,215,217,217,219,220,222,219,247,255,255,254,250,242,239,242,242,235,226,217,223,196,139,135,165,232,224,214,214,216,217,219,220,221,222,219,252,255,255,255,250,235,235,239,239,235,227,224,226,204,146,129,178,234,225,215,216,217,219,220,221,222,225,222,247,255,255,255,254,247,247,238,233,227,217,215,209,182,148,134,207,233,226,215,216,218,220,221,222,224,226,221,242,255,255,255,254,245,249,222,202,201,196,186,181,176,147,155,230,229,227,216,217,220,221,222,223,224,227,222,238,255,255,255,251,243,238,212,176,154,141,152,182,176,144,184,237,228,229,217,219,221,222,224,224,226,227,223,236,255,255,255,247,241,226,206,185,149,86,137,183,173,144,210,236,231,230,219,220,221,223,225,226,227,228,227,234,255,255,255,250,239,246,237,174,116,116,159,174,155,150,228,232,231,232,220,221,223,224,226,227,228,228,228,233,255,255,255,251,245,247,222,175,122,134,160,149,137,175,240,231,232,233,220,222,224,226,226,227,228,229,229,232,255,255,255,253,250,245,212,183,144,124,135,143,140,190,242,230,233,233,221,222,224,226,228,228,229,230,231,231,255,255,255,253,253,246,214,180,154,120,137,152,141,203,242,233,234,234,221,222,225,226,227,228,230,231,232,231,255,255,255,254,253,244,215,181,162,135,145,155,145,221,238,235,235,236,221,223,225,227,228,229,231,232,233,232,255,255,255,254,252,241,217,185,164,143,152,154,158,238,234,236,237,237,222,223,225,226,228,229,231,233,233,232,255,255,255,252,247,234,211,182,163,148,153,144,186,247,235,237,237,237,224,225,226,228,229,230,232,233,235,233,254,255,255,248,236,223,203,176,164,156,150,149,231,240,237,238,238,238,225,226,227,229,231,233,233,233,236,234,254,255,255,244,226,210,188,173,167,161,142,184,246,236,238,238,239,239
6,190,192,194,196,198,199,200,201,202,202,202,200,200,200,200,200,200,198,199,199,198,196,195,196,194,194,193,190,190,193,196,198,199,201,201,202,203,204,204,203,203,202,202,201,202,201,201,199,199,198,199,198,196,195,194,192,192,195,198,199,200,201,204,204,204,205,205,205,206,205,204,203,202,202,201,200,200,199,200,199,198,198,196,195,193,196,198,200,202,203,205,206,206,206,206,206,207,207,207,207,206,205,205,203,203,201,198,199,201,199,199,198,195,198,200,202,204,205,206,207,207,207,208,208,207,202,195,192,193,195,189,191,182,181,211,183,183,205,199,199,196,200,202,204,206,207,209,209,208,208,207,205,202,194,179,176,188,199,190,192,180,178,215,166,159,208,200,200,199,200,202,205,207,208,209,209,211,213,219,219,216,205,191,182,185,187,182,175,175,159,157,151,190,206,202,201,199,201,204,206,206,207,207,213,223,223,220,205,192,173,160,141,137,141,151,157,161,171,184,200,207,205,205,202,199,201,204,204,216,223,208,209,208,202,188,180,172,158,154,144,134,183,198,204,209,212,212,210,206,207,206,204,199,202,205,202,235,225,200,196,192,199,207,205,193,184,184,187,140,173,221,210,211,210,209,209,209,207,207,206,199,202,205,208,226,197,188,195,201,209,214,211,202,194,184,169,130,138,219,212,213,212,211,211,209,207,207,206,200,204,203,223,232,194,188,191,196,203,206,207,197,180,175,157,116,119,205,216,212,212,212,212,209,210,208,207,202,206,204,228,209,196,199,195,196,199,206,209,194,171,176,170,117,106,179,221,212,212,212,212,212,212,209,207,203,206,205,222,212,215,208,207,208,215,219,208,193,186,182,158,124,109,166,223,213,213,213,212,212,211,210,209,203,206,207,218,237,234,205,204,205,205,202,196,188,177,158,132,124,115,155,222,214,214,214,213,213,213,211,209,205,208,207,217,244,235,208,199,188,168,166,177,174,173,171,122,116,121,171,223,215,215,215,214,213,213,213,210,205,208,206,221,234,228,215,197,181,185,202,203,187,179,188,141,104,144,217,217,216,215,216,215,214,214,213,210,205,209,206,223,227,230,226,198,193,207,214,194,180,173,163,140,117,170,224,215,216,216,216,215,214,214,213,212,206,210,207,223,230,223,220,202,197,202,201,190,175,162,142,129,124,191,224,218,217,216,217,217,216,215,214,212,206,210,207,222,230,223,215,204,196,196,181,169,149,132,126,121,142,213,221,219,219,218,218,217,216,215,213,212,206,211,206,216,226,226,213,196,184,172,149,130,107,101,113,154,210,222,220,219,220,221,219,217,216,215,214,213,205,209,205,212,222,213,192,180,169,149,128,111,99,114,139,215,226,219,219,221,220,219,218,219,216,214,213,213,205,209,205,206,217,196,181,178,171,139,124,122,107,121,184,224,218,221,220,219,218,216,217,218,216,214,213,211,205,210,201,198,211,185,184,185,158,133,127,129,115,165,224,221,220,221,221,219,218,217,216,216,216,214,212,211,205,209,198,194,206,179,190,184,151,132,126,131,157,219,222,221,221,221,221,220,218,217,217,216,215,215,213,212,206,211,196,197,200,182,193,180,151,131,126,134,202,226,220,222,222,220,220,219,219,219,218,217,216,215,214,212,204,211,188,203,203,181,187,168,140,126,130,142,212,222,220,221,222,220,219,219,220,218,218,218,217,215,214,212,203,207,183,211,197,175,173,149,131,127,131,158,223,219,219,218,219,218,217,218,218,215,217,216,216,215,214,212
17,124,127,129,133,134,135,136,138,140,142,143,144,145,148,147,149,150,149,149,150,151,151,150,149,149,149,149,148,127,129,132,135,137,139,140,142,142,142,143,145,147,147,150,149,150,150,150,152,152,152,151,150,150,149,149,148,130,134,135,138,140,141,143,144,144,144,147,145,165,127,127,157,151,152,152,153,153,154,153,152,152,152,151,150,135,137,139,143,144,145,146,147,149,150,148,158,159,95,98,161,153,156,155,155,155,155,155,154,153,153,152,151,140,142,145,147,149,149,150,151,152,153,152,161,174,91,95,167,155,158,158,158,158,158,158,158,156,157,156,155,143,147,149,151,154,154,155,156,156,157,155,168,190,122,84,161,159,161,161,161,161,161,161,161,160,158,158,159,148,151,154,156,158,158,159,160,161,163,159,177,194,140,68,136,170,163,165,165,165,165,165,166,164,161,160,160,152,156,158,159,162,163,163,164,166,168,163,186,186,156,90,109,177,166,168,168,168,169,169,168,167,165,163,164,156,159,162,165,166,166,168,169,170,171,164,197,165,174,113,87,174,173,172,173,173,173,172,171,170,169,168,168,160,164,167,169,170,170,172,173,173,174,174,201,146,186,126,79,166,179,176,178,177,176,175,175,173,172,171,171,163,166,169,174,175,175,176,176,176,175,170,205,158,200,160,86,153,186,179,180,180,181,179,178,177,176,174,174,167,170,173,176,176,177,179,180,182,187,156,128,131,191,173,98,136,191,181,184,184,183,182,180,180,179,178,177,170,173,176,178,179,180,181,180,195,206,172,118,75,146,170,103,121,194,183,187,187,187,185,183,182,182,181,180,173,175,178,180,182,183,184,185,191,163,160,159,132,112,123,99,105,197,186,188,190,189,188,188,186,185,183,182,174,178,181,183,186,185,186,189,195,137,144,175,187,155,82,72,94,194,190,192,192,192,192,191,189,187,186,186,177,181,184,187,188,188,186,192,216,199,136,147,172,137,72,60,75,182,196,194,194,194,193,192,192,190,188,188,180,183,186,189,189,189,195,183,140,215,157,86,153,144,83,61,56,159,204,195,196,197,196,195,194,194,192,190,181,185,189,190,191,192,204,169,99,136,166,55,107,179,100,61,47,147,209,197,199,198,198,198,197,196,195,194,184,188,190,192,193,196,208,182,129,87,150,94,98,200,123,74,43,142,213,198,201,201,200,198,197,197,196,195,186,189,193,195,195,200,197,137,97,67,127,122,129,209,145,96,45,145,215,200,202,203,202,201,199,199,198,198,188,190,194,197,196,203,189,153,112,104,102,142,182,192,150,111,53,157,214,201,204,204,203,202,203,203,200,199,190,193,196,199,197,209,204,145,131,123,128,220,201,161,130,104,59,181,212,204,206,205,204,203,203,203,202,201,191,194,197,200,201,223,188,161,151,108,162,219,166,147,121,84,69,200,209,208,207,208,207,206,204,204,203,202,194,196,198,200,204,225,202,184,126,122,177,198,150,145,120,70,77,210,210,210,210,209,209,208,206,206,204,203,194,197,200,201,205,220,218,156,151,121,207,198,149,140,107,63,92,218,211,212,212,210,210,209,209,209,206,205,196,198,201,204,204,205,204,164,156,135,223,192,146,124,94,56,110,222,211,213,212,212,212,211,209,209,208,206,195,199,201,204,203,196,193,179,144,142,218,175,127,100,80,50,142,224,212,216,214,213,212,211,211,210,210,209,196,201,203,204,208,194,173,177,146,145,199,157,113,84,68,61,192,220,214,216,215,214,215,214,212,211,211,211
12,151,153,154,156,156,157,157,158,162,163,161,165,168,165,164,166,168,168,168,169,167,168,167,167,167,167,167,169,152,154,155,156,157,158,157,160,162,159,163,157,152,167,168,161,150,158,169,167,168,169,169,168,168,168,169,169,154,154,155,157,158,158,159,162,160,181,184,148,115,119,182,159,132,108,162,174,172,171,170,170,168,168,169,169,154,156,156,157,159,159,163,157,180,214,190,141,127,96,174,152,135,109,114,137,147,170,170,169,169,170,170,170,153,156,156,158,159,160,162,159,198,183,183,156,158,101,149,168,148,112,89,122,103,114,173,171,172,173,172,172,155,156,158,159,159,162,161,166,208,158,167,171,150,104,137,178,154,105,99,133,117,75,151,180,171,173,173,172,157,158,159,160,163,163,161,175,214,157,171,149,120,84,73,144,122,90,111,148,126,88,146,179,171,173,173,172,157,159,161,162,161,165,156,149,185,118,161,154,130,92,53,82,76,61,162,163,124,88,162,176,173,175,174,172,158,159,162,160,166,187,160,130,115,101,131,158,151,150,131,123,106,69,133,137,99,88,175,174,176,175,174,173,159,161,163,157,196,203,169,145,105,104,127,134,132,150,155,154,154,112,66,76,76,108,184,175,175,175,174,173,160,165,157,179,202,196,182,153,117,105,137,122,98,121,125,156,177,148,103,57,63,137,186,175,175,174,173,173,161,164,157,207,182,182,188,161,126,100,100,112,93,96,105,169,180,170,146,85,62,160,182,177,176,175,174,173,161,158,177,202,154,141,177,164,137,112,91,101,93,108,129,167,175,177,168,122,78,172,180,179,176,176,175,174,161,157,194,189,169,146,140,171,142,111,91,102,91,104,115,157,181,171,172,150,97,173,181,178,176,177,176,176,161,158,203,196,178,149,111,157,150,111,93,90,93,107,130,145,159,176,157,163,108,151,186,175,179,177,178,178,159,160,197,169,140,120,95,111,163,126,117,83,105,108,150,176,163,163,151,143,124,112,187,178,179,179,179,179,159,162,206,181,160,138,120,101,140,149,150,104,112,130,177,182,178,161,142,129,121,99,185,180,179,180,179,178,163,163,211,191,164,144,132,112,108,136,129,117,127,169,192,184,177,160,142,123,102,114,188,178,180,180,179,179,164,165,213,193,170,153,140,114,111,137,108,121,154,192,193,183,174,159,144,123,89,131,190,179,181,181,180,180,163,168,217,196,175,161,148,121,114,146,126,149,185,203,192,181,168,157,143,123,83,144,189,180,181,181,180,180,162,173,223,196,175,166,154,137,118,139,143,163,201,204,192,178,163,155,141,117,80,161,186,181,181,180,180,180,159,176,225,198,181,170,156,151,130,135,155,164,209,199,187,174,162,154,134,110,88,175,185,181,182,181,181,181,161,173,220,202,191,173,161,155,144,131,161,163,210,194,179,172,162,152,131,101,98,183,181,181,182,182,181,181,166,167,208,207,197,181,168,162,155,135,159,164,204,192,169,165,160,147,129,92,119,190,180,183,182,181,181,181,167,163,198,211,196,185,172,168,158,139,147,161,197,188,167,163,158,138,124,83,148,189,179,183,184,182,182,181,166,161,190,216,198,189,178,169,157,144,143,149,186,185,164,159,152,138,116,87,172,185,182,182,184,183,182,182,167,162,180,220,202,188,177,165,151,146,146,144,171,177,154,150,148,141,100,107,189,180,183,184,183,182,182,182,166,161,183,224,198,180,173,162,150,141,146,146,161,166,150,145,148,134,87,142,191,181,183,184,182,182,184,181
14,123,127,130,134,137,139,140,142,145,146,146,148,149,150,151,150,151,150,150,150,149,149,149,148,148,147,146,146,123,128,131,135,138,140,142,144,145,145,147,149,150,151,152,151,151,151,151,151,151,150,150,149,149,148,147,147,124,128,133,136,140,140,142,145,147,147,149,150,151,152,152,154,154,152,152,151,151,151,150,150,150,150,149,148,125,130,134,137,140,141,144,146,148,149,151,151,152,154,153,156,155,154,153,152,152,152,151,151,151,151,150,149,126,131,135,138,140,144,145,147,149,150,152,153,153,154,159,153,155,154,153,156,156,152,153,152,152,151,151,150,126,130,135,139,142,144,145,148,150,151,153,156,150,180,194,178,180,171,148,136,146,158,151,153,154,152,151,151,126,132,137,140,143,144,146,150,151,152,154,152,160,196,193,193,181,168,157,144,134,134,155,156,152,152,153,151,128,134,138,141,144,146,148,150,152,152,156,150,187,200,175,155,137,116,119,133,127,80,92,152,155,153,153,153,128,134,139,142,144,147,149,151,154,156,155,159,204,193,141,87,77,77,79,95,93,86,77,89,157,156,154,154,130,135,138,142,146,149,150,153,154,158,150,181,207,176,113,63,69,78,65,71,90,113,98,60,108,162,155,156,131,136,140,144,146,149,151,152,155,156,153,206,194,139,74,51,75,81,68,75,79,81,87,103,83,123,160,155,133,137,141,144,148,150,152,153,156,153,175,211,155,93,55,54,53,60,77,76,82,83,95,111,106,115,121,158,134,138,142,145,149,151,153,156,156,158,210,199,140,95,74,71,64,55,79,83,125,111,105,95,141,121,108,162,134,139,144,147,150,151,154,158,152,179,223,187,135,97,84,75,75,77,67,127,170,166,159,143,156,96,114,166,135,140,145,148,152,153,155,159,152,195,223,179,128,93,84,73,74,78,94,167,164,164,164,147,151,95,112,167,136,140,145,149,151,154,157,159,154,202,219,177,120,85,74,67,75,72,128,171,163,167,159,142,144,98,99,165,136,141,145,149,152,154,157,158,156,212,214,177,129,87,69,68,66,53,142,178,163,169,145,134,135,107,96,159,137,142,146,150,153,155,157,157,162,221,209,175,129,88,69,59,59,56,74,142,174,164,132,138,125,103,120,164,137,141,146,149,153,156,159,156,175,223,203,171,130,90,63,55,66,77,73,76,108,117,138,148,125,103,157,164,138,142,146,150,153,157,161,154,189,223,199,167,132,92,63,54,66,74,79,92,89,105,142,136,105,133,169,162,136,142,147,150,154,157,161,155,203,219,193,162,135,96,66,59,68,74,90,109,113,110,132,113,115,168,164,164,135,140,147,150,153,157,159,158,210,212,185,159,147,98,72,74,83,92,109,117,109,105,110,99,152,169,164,165,135,142,148,151,154,157,158,162,210,203,175,171,150,92,85,78,93,107,119,112,104,100,91,125,170,165,166,165,137,143,148,152,156,158,157,165,208,195,178,182,148,106,96,77,97,114,119,107,98,91,132,170,168,168,168,166,137,143,149,152,155,158,158,167,205,196,187,186,156,120,99,81,93,112,113,103,91,108,174,169,168,169,168,166,137,143,149,152,156,159,157,173,212,204,197,190,159,121,100,87,89,106,104,98,89,148,173,169,170,169,167,165,137,142,147,151,155,159,155,178,214,204,202,182,147,115,99,91,91,99,98,89,128,173,170,170,170,168,167,165,136,140,145,149,152,157,153,182,211,203,196,162,130,108,98,94,96,97,94,126,172,170,170,170,168,167,165,164
10,60,61,62,65,69,72,77,86,94,99,104,107,109,112,115,117,120,122,123,125,127,127,128,129,129,128,130,131,60,62,63,65,69,72,78,88,95,101,106,108,110,113,115,118,120,121,122,127,127,128,128,130,130,129,130,131,60,62,64,67,70,73,79,89,97,103,107,109,110,114,117,120,120,128,128,111,129,129,129,131,131,131,131,131,59,62,65,68,71,74,81,91,98,104,109,110,113,116,119,122,117,148,138,76,121,133,131,132,133,133,132,132,60,63,65,68,72,74,82,93,100,106,110,111,115,117,120,123,121,139,145,89,96,139,133,134,135,135,135,135,61,64,66,68,72,75,83,94,101,108,111,113,117,119,122,126,125,134,151,101,76,132,137,137,137,137,137,137,62,65,67,70,72,75,85,95,103,109,113,114,118,121,124,126,131,130,151,121,80,116,143,138,139,139,139,139,62,65,68,71,73,76,86,97,104,110,114,115,119,123,126,129,131,131,149,137,89,97,147,140,141,142,141,141,62,66,68,72,74,77,88,98,105,112,115,116,120,123,128,128,145,135,90,120,101,81,142,144,144,144,144,144,64,66,69,71,74,78,90,100,107,113,116,118,122,126,129,130,156,113,69,96,142,81,132,149,146,146,146,146,64,67,69,72,75,79,91,101,108,114,116,119,124,127,132,132,151,106,80,72,156,89,115,153,148,149,148,148,64,67,69,73,75,81,92,101,109,116,117,122,124,133,126,141,168,123,114,77,111,102,97,156,149,151,150,150,65,67,69,73,76,81,94,103,111,117,119,117,137,171,138,155,144,139,133,93,72,99,85,152,151,152,152,152,67,67,70,73,76,82,94,104,112,117,123,129,139,191,162,163,114,106,138,111,72,77,74,139,156,153,153,153,67,68,71,73,76,82,95,104,115,112,161,180,128,136,167,170,130,69,123,136,96,69,59,123,160,153,154,154,67,68,71,74,76,84,96,107,116,114,168,193,144,79,124,173,124,71,80,138,113,81,55,108,162,154,156,157,67,69,71,74,77,85,98,107,116,121,143,125,152,136,90,122,85,53,55,116,121,95,65,96,162,155,157,157,67,69,72,74,78,86,98,108,117,121,152,111,129,149,78,91,101,46,85,123,121,111,78,85,161,157,157,158,68,69,71,75,78,87,99,109,120,119,162,149,105,91,79,106,109,102,154,144,124,117,89,81,155,160,159,159,68,70,72,75,78,88,101,111,120,121,162,146,124,110,100,108,116,169,170,136,127,112,90,86,155,161,159,159,68,70,73,75,78,89,101,112,122,120,179,173,147,117,114,124,187,192,154,124,112,104,91,93,159,161,161,161,68,70,73,75,78,90,101,112,122,120,179,184,151,126,136,152,206,176,147,125,102,94,87,106,165,161,162,163,69,70,73,75,78,90,102,113,124,120,185,190,149,149,143,161,201,168,139,121,101,89,83,123,167,161,162,163,69,70,72,75,78,91,104,114,124,121,178,181,155,162,148,181,186,155,128,110,97,90,83,133,168,162,163,164,69,71,73,75,80,91,104,114,125,121,164,179,174,168,164,188,170,138,117,101,92,90,87,150,167,163,164,164,69,71,74,75,80,92,104,114,125,122,148,191,185,167,153,164,153,125,106,96,92,83,100,166,164,165,165,166,69,71,74,75,80,93,106,116,124,127,132,181,174,157,141,143,140,128,111,101,93,75,120,170,165,166,166,169,69,71,74,75,81,95,106,117,124,129,127,158,157,145,138,141,138,140,122,99,89,72,134,171,165,166,168,169
10,142,143,143,143,144,144,145,146,145,144,144,145,144,143,142,141,139,139,137,137,137,134,133,133,132,130,129,129,147,147,147,148,148,148,147,149,148,147,147,147,146,146,144,143,142,141,143,134,133,137,135,133,132,132,131,129,151,151,152,153,153,153,153,153,152,152,152,151,150,149,148,146,146,140,164,133,99,142,136,135,134,133,133,132,155,156,155,157,157,157,157,156,156,156,155,155,154,153,151,149,149,145,169,140,88,139,139,138,137,135,134,133,160,160,160,160,161,161,161,159,160,161,160,159,158,157,154,153,153,149,171,139,86,138,145,140,139,137,136,134,164,164,165,164,166,165,163,164,164,165,164,163,161,160,159,157,157,154,172,130,82,140,149,144,142,141,139,138,168,169,168,168,170,169,168,168,169,169,168,166,165,164,163,161,161,158,177,144,86,141,153,147,146,144,142,139,172,173,173,172,173,173,173,172,173,173,173,171,169,168,167,166,163,164,183,138,117,145,155,151,149,147,144,142,174,174,176,176,176,177,176,175,176,177,175,174,174,172,170,169,166,177,179,159,140,111,163,153,152,149,148,145,177,177,178,179,179,179,179,178,179,180,179,178,177,175,174,173,167,155,159,176,131,81,165,157,155,152,151,148,180,180,181,182,181,181,181,181,181,182,181,180,179,179,178,177,175,153,132,143,144,72,122,171,157,157,153,151,183,183,183,183,184,184,184,183,184,185,184,183,181,181,177,173,188,186,153,114,105,99,68,151,165,159,156,156,185,185,186,187,188,187,187,187,188,188,187,188,188,185,158,129,123,161,168,163,120,90,73,105,174,159,159,160,188,188,188,189,189,189,189,189,189,189,190,172,148,174,177,146,91,54,155,172,106,70,62,106,176,163,163,161,190,191,191,191,192,191,191,192,191,189,189,171,135,122,189,171,126,44,53,93,99,80,58,117,179,166,166,163,192,193,192,193,194,193,193,193,193,191,187,187,175,129,152,191,140,85,42,51,151,119,62,124,181,169,167,165,193,194,194,194,194,194,194,195,194,192,163,155,180,150,107,172,150,99,54,79,151,147,71,123,185,171,170,167,195,195,195,195,196,196,196,197,195,193,174,120,139,143,66,120,158,93,61,89,141,147,70,115,185,171,171,169,196,197,197,198,198,198,199,198,197,187,164,124,104,126,78,85,161,134,80,98,140,113,62,127,186,173,173,170,199,199,199,199,199,200,200,200,197,189,185,163,110,115,114,84,146,169,107,88,124,85,63,160,184,175,174,172,199,200,199,200,201,201,200,201,198,192,199,172,134,114,112,100,152,153,93,77,110,75,80,185,179,177,176,175,200,201,200,200,201,201,201,201,202,190,199,186,154,126,119,140,195,177,124,101,103,67,113,194,180,179,177,175,202,202,202,202,203,203,204,204,205,191,187,186,164,139,131,149,192,188,161,124,100,60,144,194,181,181,178,176,202,202,203,204,204,205,206,206,207,194,178,184,171,160,144,149,187,180,145,111,89,67,176,189,184,182,180,177,201,202,202,202,203,204,205,205,206,203,177,176,179,175,150,139,175,160,131,102,67,96,197,186,186,183,181,179,201,202,202,203,203,205,206,206,205,208,186,163,174,167,149,127,150,142,114,90,51,144,196,184,184,182,180,178,202,203,204,205,205,206,207,207,206,207,203,173,169,160,145,126,132,142,113,73,80,190,188,185,184,182,180,182,203,204,205,206,205,206,207,207,208,207,203,186,170,154,145,136,126,138,109,59,139,201,187,187,185,182,183,147
15,109,111,110,111,113,115,116,118,121,124,132,142,152,160,166,171,174,175,176,180,184,188,190,192,195,196,198,199,112,111,110,112,113,116,116,118,121,124,132,143,153,161,165,170,174,175,178,181,184,188,191,193,195,197,198,202,113,111,111,111,113,117,118,119,121,125,135,144,152,161,166,171,175,178,180,182,185,188,192,194,195,198,200,202,113,111,111,111,113,115,111,116,122,126,135,144,152,160,167,172,175,178,180,183,187,189,193,195,197,200,203,205,113,111,111,112,110,112,153,134,118,121,135,146,156,161,167,174,176,178,180,183,187,189,194,195,197,201,203,205,112,110,110,112,105,131,219,190,165,144,137,143,152,161,171,175,178,178,179,183,187,191,194,197,200,201,202,204,113,111,111,112,108,120,188,194,180,185,171,167,156,152,159,167,172,177,181,186,192,193,194,196,200,201,203,206,112,112,112,113,113,109,126,157,143,159,172,178,177,173,159,159,157,160,164,167,175,185,194,202,199,203,204,206,112,111,111,112,113,115,114,120,123,135,146,144,165,179,173,169,164,169,172,165,148,144,135,172,208,201,207,208,111,111,111,112,112,114,117,119,119,128,134,131,139,159,158,155,149,163,186,191,171,152,132,104,173,213,204,209,111,111,111,111,112,113,117,120,119,128,140,149,154,154,153,152,136,161,184,187,176,166,159,127,114,191,210,207,113,111,110,111,113,114,116,119,119,127,139,147,157,165,168,168,162,193,189,183,185,183,173,155,129,117,199,212,113,111,111,111,112,115,116,118,121,129,135,149,158,162,174,177,194,216,176,164,197,179,184,177,152,111,123,208,112,111,111,111,113,115,115,119,121,123,164,170,164,165,156,174,208,173,160,138,202,163,193,194,157,130,101,137,111,111,111,111,113,113,115,118,118,124,194,186,186,192,179,149,155,138,107,116,191,147,197,195,158,135,114,100,111,110,111,110,111,113,115,117,119,127,161,164,190,212,194,153,152,154,126,127,164,163,189,188,160,140,116,108,111,110,110,109,109,112,115,116,119,127,138,152,175,198,172,155,174,167,163,164,157,155,143,159,152,134,114,108,109,109,108,109,108,109,111,114,117,126,139,147,160,158,140,159,174,168,168,179,177,152,116,120,132,122,117,112,108,104,107,107,109,110,110,112,115,126,139,148,147,189,166,133,148,169,176,179,176,145,115,113,118,115,118,119,108,105,105,106,107,109,111,112,116,125,138,151,144,209,206,136,84,100,155,167,169,140,116,118,118,116,121,120,108,105,104,105,107,107,111,111,116,127,138,150,148,196,195,131,86,75,91,147,147,122,115,119,119,119,121,122,107,105,104,104,106,107,109,109,115,126,138,150,148,193,196,115,109,115,80,116,145,120,118,122,127,125,122,118,105,103,102,103,105,107,110,108,113,123,136,148,149,186,194,101,150,135,118,124,140,154,140,137,129,125,121,116,104,103,101,101,104,105,107,109,113,123,134,145,145,187,201,89,150,184,112,155,144,148,129,124,119,118,118,118,98,97,95,94,98,97,99,100,104,117,130,142,141,194,190,90,135,210,126,125,190,116,117,113,103,107,109,109,153,149,146,143,140,139,138,138,140,144,151,156,156,178,138,105,167,189,128,142,198,167,185,156,94,91,93,92,134,134,132,131,129,131,134,136,136,134,132,127,126,132,110,119,140,136,126,138,143,146,143,143,115,96,96,105,123,122,122,121,120,120,121,120,120,122,121,116,115,119,125,125,121,120,124,124,121,119,119,120,125,120,125,123
20,196,199,204,209,213,216,218,222,223,225,227,228,229,229,232,232,234,229,234,231,231,230,230,229,229,229,227,226,197,202,207,212,215,218,220,224,225,228,229,230,231,233,233,233,255,199,212,231,233,233,232,232,232,231,229,229,200,204,209,214,218,221,223,227,229,230,231,233,235,237,236,235,255,188,210,217,201,243,234,235,236,233,232,231,202,207,210,216,221,222,225,229,230,232,234,236,237,238,237,239,255,194,235,234,171,245,238,239,238,237,236,234,203,208,212,217,223,224,228,231,232,234,236,239,239,241,238,243,255,214,233,255,168,240,242,241,240,239,238,236,206,211,215,219,224,226,229,233,236,236,239,240,242,245,239,249,255,214,238,255,179,234,246,245,244,243,241,240,208,213,217,221,225,229,232,236,238,240,241,241,242,242,240,255,255,208,254,255,179,229,250,246,246,245,243,241,211,216,219,223,228,231,234,237,240,240,245,246,246,255,245,255,255,205,255,255,171,230,253,248,248,247,245,243,212,218,222,227,230,233,237,239,242,244,245,239,255,255,255,200,229,205,255,255,174,237,254,251,250,249,247,246,214,220,225,229,232,235,238,240,244,246,251,255,255,250,255,206,152,162,235,238,177,243,255,253,251,250,249,247,216,221,226,230,234,238,242,243,247,242,255,255,255,216,235,242,230,191,176,202,172,248,255,255,253,252,252,250,218,223,227,232,236,240,244,245,248,247,255,238,229,255,190,245,255,230,153,159,164,254,255,255,255,254,253,253,220,225,229,234,238,242,245,246,250,247,255,224,149,167,130,166,255,247,179,143,153,253,255,255,255,255,255,255,221,226,231,236,239,244,246,249,252,253,255,233,213,172,147,136,226,255,220,149,146,254,255,255,255,255,255,255,223,228,232,237,242,245,247,251,253,255,255,255,218,177,168,171,196,255,255,174,135,251,255,255,255,255,255,255,225,228,233,238,242,245,250,253,254,255,255,255,196,174,179,196,226,255,255,203,139,241,255,255,255,255,255,255,227,230,235,241,245,247,251,254,254,255,255,255,213,196,200,210,255,255,255,220,149,239,255,255,255,255,255,255,229,233,236,242,247,249,253,255,255,255,255,255,231,206,218,240,255,255,255,217,152,238,255,255,255,255,255,255,229,234,238,243,248,251,253,255,255,255,255,255,249,212,233,255,255,255,255,209,156,238,255,255,255,255,255,255,229,234,239,243,246,250,254,255,255,255,255,255,254,231,235,255,255,255,251,203,150,234,255,255,255,255,255,255,229,235,239,244,246,251,254,255,255,255,255,255,255,255,241,255,255,255,241,197,142,231,255,255,255,255,255,255,230,236,241,244,248,253,255,255,255,255,255,255,255,255,255,255,255,255,232,193,134,232,255,255,255,255,255,255,230,237,240,244,250,254,255,255,255,255,255,255,255,255,255,246,255,232,223,180,131,241,255,255,255,255,255,255,231,237,242,246,251,254,255,255,255,255,255,255,255,255,240,222,239,216,222,176,137,255,255,255,255,255,255,255,233,239,243,248,251,254,255,255,255,255,255,255,255,249,208,196,225,216,213,150,170,255,255,255,255,255,255,187,228,235,241,248,252,255,255,255,250,146,119,255,255,227,196,188,237,210,195,123,222,255,255,255,255,255,167,136,180,182,185,188,190,196,197,205,192,112,49,236,255,238,195,205,255,184,158,101,91,210,243,241,236,160,124,125,142,139,144,147,148,146,145,147,164,171,124,158,251,225,200,223,245,154,130,74,58,118,148,155,166,139,111,100
0,166,168,170,172,173,175,176,177,178,178,178,178,178,178,178,178,179,178,178,177,177,177,176,177,177,177,174,173,167,168,171,172,174,176,177,178,179,179,180,180,181,179,179,180,179,179,179,179,178,178,178,177,177,177,176,175,168,170,172,174,175,177,178,179,179,180,181,182,182,181,181,182,182,180,181,180,179,179,178,178,177,177,176,176,170,171,174,175,176,178,179,180,180,182,183,183,183,185,182,182,183,184,181,180,179,180,180,179,179,178,177,177,171,173,174,175,178,180,181,181,183,185,185,180,179,169,182,184,161,160,184,184,181,180,182,181,180,179,178,178,172,174,175,177,179,180,181,182,185,175,176,202,177,136,134,189,159,110,157,179,175,168,153,184,181,180,179,179,174,175,175,178,180,181,182,183,191,165,135,189,192,157,121,188,167,131,97,114,149,180,123,177,185,181,181,180,173,175,177,179,180,182,180,188,204,190,151,138,198,160,122,186,169,133,93,134,148,183,142,134,187,181,183,181,173,176,178,179,181,183,182,198,197,197,174,115,172,166,116,183,176,125,110,156,124,177,167,126,146,186,182,182,174,177,178,180,181,182,186,199,163,190,166,101,142,170,118,180,169,110,111,153,99,153,179,155,114,148,191,181,176,179,180,181,182,180,195,201,158,183,144,95,142,153,110,159,148,102,106,144,105,176,197,164,111,127,191,181,177,179,180,182,183,182,202,196,168,178,132,95,139,133,101,133,131,100,103,133,119,195,190,159,100,158,189,183,178,179,180,183,183,187,209,186,150,154,145,99,124,127,96,125,126,84,139,148,160,190,175,131,106,187,185,185,179,180,182,185,184,188,214,197,168,131,118,85,132,146,97,140,134,122,171,164,165,176,147,103,140,196,185,185,179,181,183,185,184,192,213,195,178,154,116,98,123,129,94,124,174,189,174,165,143,143,126,91,172,193,187,186,179,181,184,186,184,198,214,193,181,167,144,113,114,134,144,180,199,188,168,157,134,115,109,97,187,190,189,188,181,182,184,187,185,200,214,195,181,169,155,119,116,147,184,206,200,183,160,148,124,106,87,132,198,188,190,189,181,183,184,187,184,197,214,199,182,173,165,134,124,143,193,204,198,175,152,136,114,93,94,187,193,190,190,190,182,184,185,187,185,193,212,201,185,174,168,146,126,151,201,204,187,164,140,122,104,82,154,198,189,191,191,190,182,185,185,189,187,191,211,203,190,174,164,147,125,159,198,196,172,156,132,112,86,122,199,191,192,190,191,191,182,184,186,189,188,191,211,200,188,175,159,143,130,172,185,172,164,148,124,97,88,183,195,193,194,193,192,191,183,185,186,189,187,191,212,199,191,176,154,140,146,174,159,156,152,133,112,80,153,201,193,194,194,194,192,192,183,184,185,189,183,201,215,202,200,178,157,147,157,168,146,149,135,120,86,123,200,195,196,195,195,194,193,192,183,185,188,186,187,216,210,202,198,174,156,152,159,152,142,140,127,100,105,193,199,196,196,195,195,194,194,193,182,185,188,183,201,211,194,196,192,163,149,155,149,140,136,126,105,98,180,200,198,196,196,196,195,195,193,193,182,184,186,178,208,200,178,171,173,154,146,152,141,132,126,111,94,162,199,195,196,196,196,196,195,194,194,193,182,186,180,183,212,192,170,154,150,137,148,152,124,123,121,89,135,199,197,197,197,197,197,196,195,195,194,194,183,186,175,201,210,183,156,151,141,124,152,143,112,123,103,98,183,198,196,197,197,198,196,196,195,195,195,195
6,171,173,175,177,178,181,182,180,180,180,181,181,181,180,180,179,180,179,179,178,176,176,176,176,174,173,172,171,172,174,176,178,180,181,182,182,183,183,183,183,183,182,182,181,181,180,179,178,177,178,178,177,178,176,173,172,172,175,177,178,181,184,184,184,186,185,184,184,184,184,182,181,181,180,179,180,179,179,179,178,177,177,173,172,171,174,177,180,182,184,184,185,185,184,184,185,184,184,184,183,182,181,181,180,179,179,180,178,177,177,176,174,173,176,178,180,183,183,184,186,185,185,186,186,185,183,182,182,181,182,184,183,183,185,182,181,180,177,177,176,173,177,178,180,184,184,185,186,185,185,182,178,171,162,142,143,151,157,155,157,158,154,166,170,177,179,178,177,174,178,180,181,184,183,181,186,186,188,185,180,176,163,142,143,157,163,151,153,136,128,178,160,139,183,177,178,175,178,179,185,188,177,182,194,196,197,191,181,172,158,143,140,153,161,157,153,150,136,167,149,120,183,178,178,177,179,180,209,197,178,179,181,178,169,160,156,145,142,126,101,97,114,120,125,130,126,130,131,163,183,179,178,178,180,182,219,195,175,167,161,166,172,172,165,150,147,152,118,98,167,164,167,168,172,174,180,185,181,180,178,179,179,186,200,170,165,169,175,183,189,182,170,162,157,156,129,93,190,193,191,191,189,188,186,184,183,181,179,179,177,206,198,163,161,167,175,185,189,186,177,166,154,136,111,80,154,195,186,187,187,185,185,186,184,182,180,179,180,207,181,164,160,163,167,172,175,176,169,154,145,131,88,80,121,196,186,188,188,187,186,186,186,184,182,180,183,193,165,177,174,172,172,176,184,185,169,144,147,149,88,76,109,191,189,189,189,188,188,187,185,184,182,179,182,191,192,192,179,183,183,191,195,179,162,151,152,139,96,82,103,186,192,192,191,188,187,187,185,184,183,181,179,194,221,200,176,179,180,183,181,174,163,155,139,113,95,91,108,192,191,192,192,189,187,186,186,185,184,178,177,199,217,196,176,173,162,148,145,148,144,138,124,87,86,99,164,196,191,190,190,191,187,185,185,183,182,179,177,197,202,194,180,163,146,140,156,167,158,157,162,102,67,108,190,192,191,189,188,189,187,186,184,182,180,181,179,198,193,206,187,163,164,184,192,173,155,147,154,112,79,134,196,190,190,189,189,187,187,186,184,182,180,181,178,198,191,200,184,167,169,178,178,161,149,140,127,103,92,152,199,190,190,189,188,187,187,186,185,184,182,179,172,193,196,188,176,169,168,171,165,156,138,121,102,88,97,171,194,190,191,191,190,188,187,186,185,184,183,182,173,185,194,193,176,167,161,154,135,120,102,89,101,138,166,193,189,192,192,190,191,191,189,188,187,186,177,169,163,180,192,179,163,151,140,123,102,90,73,92,158,187,185,182,182,182,182,181,182,182,182,182,181,172,213,97,101,173,181,157,145,139,131,101,89,94,92,100,102,101,100,101,101,101,101,98,99,100,100,101,92,198,255,95,98,169,171,145,148,142,119,96,92,99,105,91,87,88,86,86,86,87,84,83,83,83,83,70,182,255,253,95,106,173,161,144,158,139,107,93,91,104,100,93,94,93,93,91,96,103,97,97,101,99,76,183,255,255,253,91,116,180,158,148,156,135,107,91,92,111,98,93,94,92,92,91,92,94,92,92,97,78,165,255,255,254,246,90,130,183,154,143,147,122,98,89,98,110,95,94,93,93,91,90,91,91,91,95,83,133,255,255,255,245,241
7,184,183,183,185,183,184,183,181,180,176,177,177,175,173,172,173,171,169,168,166,164,163,161,159,158,155,154,152,187,187,186,186,183,184,184,183,183,180,179,179,176,176,176,176,174,171,169,168,166,165,164,161,161,158,156,155,190,190,188,188,186,185,185,185,184,184,182,181,180,180,179,176,176,174,172,172,170,167,166,164,164,161,158,157,192,192,191,192,190,189,189,188,187,185,185,184,184,183,181,179,178,176,175,174,172,170,167,166,165,163,161,159,194,194,193,193,192,191,191,191,189,188,187,185,185,186,184,181,180,178,176,175,174,173,171,170,167,166,163,162,197,197,195,195,194,193,193,192,191,190,189,187,186,186,187,183,183,182,179,177,176,175,174,171,167,167,165,163,198,199,197,196,196,196,195,195,193,192,192,189,188,187,188,187,185,184,182,180,177,176,176,174,172,169,167,165,202,201,199,199,199,198,197,196,193,192,197,198,196,192,190,189,187,186,185,183,181,179,177,175,175,172,168,168,203,203,202,200,201,200,196,206,183,146,176,161,177,190,196,197,195,188,184,184,183,181,178,176,176,174,171,170,203,203,204,202,202,200,200,227,194,205,190,104,84,106,135,151,168,190,195,189,185,183,180,179,179,177,174,171,206,205,205,205,205,200,214,217,211,228,188,124,105,86,81,95,96,109,141,175,184,187,186,183,180,177,175,173,207,206,206,207,206,204,219,210,219,216,187,180,184,130,76,76,85,85,82,83,102,119,144,170,186,178,177,176,210,209,208,209,204,211,222,222,226,210,199,207,191,154,113,81,80,82,72,78,79,81,78,120,187,182,179,177,210,211,210,211,208,217,220,226,222,207,205,201,182,172,156,116,76,80,72,73,83,84,81,76,100,133,177,179,211,209,210,208,212,223,228,219,210,204,195,188,189,191,169,131,87,74,82,77,91,83,75,69,66,80,168,182,213,212,213,208,213,224,230,220,208,199,179,182,195,190,167,124,95,84,67,102,186,169,148,136,132,152,183,181,214,213,214,204,218,226,226,209,202,197,184,185,192,172,145,114,91,89,79,94,199,199,198,197,194,191,184,182,215,214,214,202,226,233,222,196,199,200,188,183,171,137,127,112,88,94,101,87,173,199,191,191,190,187,186,184,217,217,206,204,235,228,214,198,197,190,180,173,141,129,128,108,97,92,90,130,196,197,193,193,190,188,186,184,217,220,196,213,234,220,206,207,194,183,175,154,135,138,121,106,73,63,126,192,201,197,197,195,191,189,187,185,219,214,191,226,225,210,204,202,180,177,164,145,146,135,109,100,100,163,205,203,198,199,198,196,191,188,186,185,222,197,199,229,218,206,204,191,180,170,155,149,140,121,95,156,212,210,204,202,201,200,197,195,192,191,188,185,217,185,216,219,213,205,195,190,174,155,154,141,125,99,123,210,210,205,206,205,204,201,199,197,194,191,191,187,202,197,216,209,210,208,183,169,151,146,142,126,105,114,197,214,208,207,206,206,204,202,201,199,196,192,191,188,192,211,209,208,211,192,159,145,135,128,121,104,125,199,216,210,210,209,208,204,203,203,202,199,196,193,191,189,190,210,215,221,185,161,145,128,116,106,94,111,205,218,211,212,211,209,208,205,204,204,202,199,196,194,192,190,197,199,220,204,156,163,136,109,100,94,103,185,222,213,214,212,212,209,208,208,206,204,201,200,198,195,193,190,196,197,205,185,161,170,134,99,90,103,197,223,218,216,214,212,211,211,210,209,206,204,203,201,199,195,194,192
1,132,132,133,133,134,134,135,134,135,134,134,134,133,134,133,130,130,132,129,127,126,125,124,123,122,121,118,117,137,136,136,137,137,137,137,138,138,138,137,137,137,136,135,136,133,122,131,131,130,129,128,125,124,123,121,119,140,140,140,140,140,141,141,141,142,141,140,141,140,139,136,130,144,87,112,144,131,132,131,129,128,125,124,123,144,143,143,143,143,144,144,144,144,144,144,144,143,142,147,93,126,94,78,120,136,135,133,131,130,128,127,126,147,145,146,146,147,148,147,147,147,147,147,147,146,146,149,80,121,89,39,64,118,142,135,134,132,131,130,127,149,149,149,149,149,149,149,150,149,149,150,150,151,153,138,71,131,71,63,87,90,148,135,137,136,134,131,130,151,152,152,152,151,151,153,153,151,150,152,147,122,153,127,76,145,72,83,97,76,150,138,139,138,137,135,132,155,155,155,155,156,155,156,156,155,154,154,148,84,133,126,91,140,61,93,105,78,151,142,142,140,138,138,135,157,157,156,157,159,156,157,156,157,156,156,144,76,136,100,108,127,58,117,112,79,152,144,145,142,141,140,138,159,159,160,159,159,159,158,158,159,158,163,133,76,141,86,123,127,71,138,100,78,155,145,146,145,143,142,140,161,161,162,161,162,162,162,162,162,161,164,123,72,151,89,125,132,70,135,98,83,158,147,148,147,146,144,142,163,162,163,163,163,164,164,163,162,163,165,104,75,156,77,112,118,56,137,106,92,161,151,150,149,148,146,144,165,165,164,165,164,165,165,165,165,164,167,103,76,144,56,109,104,56,145,98,90,164,153,152,151,150,148,146,166,166,166,166,166,168,167,167,166,168,161,90,83,129,95,124,124,83,101,85,94,165,155,154,152,150,149,148,168,168,169,168,168,168,169,168,168,168,146,116,120,97,108,111,112,108,88,73,73,159,157,157,156,154,152,150,169,169,170,170,169,169,170,170,169,166,154,128,95,81,87,106,118,97,89,104,64,138,165,157,157,155,152,151,170,170,171,171,170,170,171,171,170,170,150,105,75,81,87,118,123,101,137,136,74,109,172,157,157,156,154,152,171,171,171,172,172,171,173,173,171,165,148,101,71,91,97,126,134,145,111,136,109,87,169,160,160,158,157,155,171,172,173,173,173,173,174,174,172,159,154,115,67,81,112,132,140,154,125,120,108,62,158,164,161,159,158,156,174,174,174,175,175,175,175,176,171,155,159,126,82,71,112,136,143,142,126,109,72,46,160,165,162,161,159,157,175,175,175,176,176,176,176,177,173,150,156,129,94,70,105,151,156,152,120,94,52,76,176,163,164,163,161,159,175,176,176,176,176,177,177,178,175,148,143,129,100,81,115,163,154,142,108,80,39,133,175,163,164,163,162,159,175,176,176,176,177,177,177,178,178,155,144,129,109,92,127,158,145,125,94,59,57,173,168,167,164,164,163,160,173,175,176,175,176,176,177,177,180,162,140,137,122,95,126,148,135,106,78,35,107,180,166,167,165,164,163,161,174,175,176,176,176,177,177,177,179,168,141,140,125,101,116,126,107,83,46,43,166,170,168,166,164,162,161,158,175,175,176,176,177,178,177,176,180,167,146,141,123,105,107,110,85,56,28,135,177,168,169,167,164,163,161,159,175,175,176,177,177,177,177,178,180,156,151,141,134,118,99,93,64,28,125,184,169,171,169,168,166,166,168,159,175,175,176,177,177,177,178,180,173,144,157,146,142,116,95,72,34,67,183,171,173,171,169,168,167,153,125,77
10,91,95,100,95,82,69,68,45,39,59,64,70,81,95,101,107,112,119,124,129,135,138,140,144,146,148,150,151,97,102,106,99,86,73,73,44,43,60,66,72,99,119,105,108,114,121,126,131,135,139,142,145,147,149,150,151,107,112,114,103,91,77,78,42,47,62,67,75,122,140,102,106,117,124,129,133,137,140,144,147,148,150,151,152,116,121,122,108,96,81,80,41,51,64,69,76,120,146,103,101,120,127,132,136,139,144,148,150,151,152,153,153,126,131,129,112,99,87,81,40,55,65,70,76,109,147,113,97,122,133,137,141,145,149,153,155,156,157,157,157,134,140,135,117,102,93,79,41,60,67,71,77,100,147,130,99,121,138,143,147,152,157,160,162,162,163,163,163,142,147,139,121,104,99,77,43,63,69,72,78,96,144,144,105,116,143,149,153,159,163,166,168,169,169,169,170,148,153,143,125,106,104,73,46,65,70,74,80,97,139,154,112,110,146,155,160,164,169,172,174,175,175,176,176,154,158,145,129,108,109,68,49,67,71,74,82,99,141,165,123,108,149,161,166,170,175,178,181,182,182,182,182,159,162,147,132,110,112,63,54,69,72,75,83,102,142,166,129,108,150,167,171,176,180,183,186,187,188,188,188,163,164,149,134,111,114,66,74,77,74,78,85,105,141,158,127,105,149,171,176,181,185,189,191,193,193,194,194,167,166,150,134,113,117,98,107,82,78,83,86,108,143,149,129,103,145,175,180,186,191,194,196,197,197,198,199,169,167,150,133,115,122,116,113,82,70,69,73,98,135,140,136,101,138,178,184,190,195,198,200,201,201,201,202,172,168,152,133,120,126,103,104,95,77,64,56,64,92,112,120,93,127,179,188,194,199,202,203,204,204,205,205,174,168,154,131,122,112,79,86,108,99,77,54,46,65,87,97,88,114,177,192,197,201,204,205,206,206,207,208,175,169,156,131,125,101,79,110,127,113,83,58,47,55,70,81,82,103,174,195,199,203,206,208,209,209,210,210,177,169,158,130,130,91,98,152,147,116,89,69,57,55,62,69,74,100,174,197,201,206,209,210,211,212,212,213,178,169,158,129,131,83,102,165,152,110,97,85,68,60,59,63,70,102,178,199,204,208,211,212,213,214,215,215,179,170,158,128,133,74,89,171,168,104,91,98,85,71,58,58,67,108,183,201,206,210,213,214,215,216,217,217,180,172,159,130,135,67,85,171,168,107,110,111,101,83,63,58,65,116,188,202,207,211,214,215,217,218,218,219,179,173,160,132,136,63,80,157,151,123,148,133,110,94,71,61,65,122,191,202,207,212,215,217,218,219,220,220,180,175,159,135,135,59,74,147,167,152,165,149,122,102,81,67,69,127,192,203,207,211,215,216,218,219,220,220,182,177,157,138,130,55,70,128,170,167,167,156,136,110,87,72,72,130,193,203,207,211,214,217,218,219,220,221,183,178,154,141,124,53,68,101,161,178,170,163,140,115,91,76,73,130,193,203,207,211,215,217,219,219,221,222,182,178,151,145,132,77,83,96,151,178,171,169,139,113,91,78,77,133,188,198,203,207,211,213,215,217,219,220,178,177,148,149,150,109,100,104,135,171,167,163,137,111,94,82,77,113,147,154,158,162,166,169,171,174,175,170,180,175,147,153,152,110,99,101,114,153,157,149,138,123,108,87,71,89,112,116,117,119,120,121,121,121,115,94,183,173,145,155,151,110,101,103,107,131,140,137,140,139,125,91,64,73,106,113,115,117,117,115,116,114,95,70
20,170,174,179,183,184,188,192,193,196,197,198,200,197,201,201,197,199,198,198,197,194,192,192,191,188,186,185,184,172,177,181,185,188,192,195,197,199,200,201,200,206,184,191,206,200,201,200,199,198,196,194,193,192,191,190,188,175,180,184,188,193,197,199,200,202,205,207,199,237,160,135,210,203,202,204,202,201,199,198,197,196,195,193,191,178,183,188,192,196,200,201,203,206,208,209,204,247,169,141,163,176,212,204,205,203,201,201,198,198,198,196,195,180,185,192,195,198,202,205,208,210,210,212,207,244,164,178,182,135,219,206,209,208,206,204,202,201,201,200,198,184,189,195,199,200,204,209,212,213,214,214,211,252,183,182,206,119,212,212,211,210,209,208,207,206,205,204,200,188,193,197,201,203,207,211,215,216,217,218,215,255,197,175,229,122,202,219,214,213,211,210,210,209,208,207,204,191,196,200,204,207,209,214,217,217,217,223,221,255,185,172,238,132,188,227,216,216,214,213,211,211,209,209,207,194,199,201,206,211,214,217,217,225,229,202,223,255,193,179,242,140,174,230,219,219,218,215,216,213,213,211,209,196,201,205,210,212,217,218,217,235,255,208,189,222,186,168,255,158,167,233,219,221,220,220,218,217,216,213,211,198,202,208,212,215,215,225,255,201,189,242,185,135,128,131,237,163,158,234,221,223,223,221,220,220,218,216,215,200,205,209,213,219,217,243,239,226,178,236,229,225,191,130,171,158,149,237,226,226,226,223,221,221,219,219,217,202,207,211,216,221,220,242,223,190,173,188,224,242,240,155,103,126,139,238,226,227,227,224,222,221,220,221,218,204,210,214,218,223,225,235,253,212,151,108,106,143,236,193,112,80,131,239,228,230,229,227,225,225,223,222,221,205,210,217,221,224,228,232,255,225,160,118,104,94,217,237,154,79,114,239,233,232,230,230,229,228,226,222,222,207,213,220,222,228,230,234,255,222,169,128,140,158,231,255,198,116,97,234,238,235,232,232,230,229,228,224,222,210,217,221,225,229,233,237,255,234,172,153,143,196,255,255,204,150,95,229,242,235,234,233,231,230,229,227,224,211,217,223,228,233,237,240,255,240,183,162,164,232,255,233,176,133,95,232,241,238,237,234,234,232,230,230,227,213,220,224,228,234,237,240,255,249,203,184,173,255,255,209,152,102,117,247,239,239,238,237,237,236,233,231,227,215,223,227,232,236,238,241,255,251,204,194,182,255,255,194,142,93,128,255,241,243,240,238,239,238,237,231,228,218,224,229,234,237,241,241,255,252,208,209,187,255,237,176,131,85,135,255,242,245,244,241,239,238,237,234,231,218,225,231,236,239,242,243,253,255,226,224,187,246,219,156,118,76,158,255,244,245,245,244,240,239,239,236,233,219,226,232,236,241,242,247,251,255,233,226,179,228,193,136,111,75,190,255,246,247,245,244,243,242,240,238,235,219,227,233,236,241,244,248,252,255,228,193,157,209,167,142,114,89,236,255,250,250,246,245,244,244,241,238,236,221,228,234,237,242,246,248,253,255,238,190,179,206,154,161,93,153,255,251,253,253,249,248,247,245,244,240,237,222,228,234,239,244,247,246,255,255,255,222,212,186,148,146,79,218,255,251,254,253,251,248,248,246,245,242,239,221,227,231,237,243,247,242,255,255,232,231,211,173,141,116,106,250,255,252,252,251,248,248,247,247,244,243,239,221,227,233,238,243,249,237,255,252,209,208,194,151,126,88,144,255,254,254,253,252,250,248,246,245,244,242,238
21,34,73,86,91,99,110,124,132,139,144,148,151,153,155,157,165,165,165,167,168,170,172,173,173,173,175,175,174,39,76,86,93,100,112,126,134,141,145,148,151,153,162,160,136,165,167,169,170,172,173,174,175,175,176,176,176,44,79,87,94,101,115,128,136,142,146,150,154,151,179,167,94,157,173,170,172,173,175,177,178,177,177,178,178,50,82,89,96,101,116,129,137,143,148,152,155,152,181,169,102,151,175,173,174,173,176,178,178,178,178,179,180,57,84,89,96,105,119,131,137,143,148,153,156,153,182,166,104,145,177,172,176,177,178,180,181,180,183,182,182,62,86,89,97,106,121,131,140,146,149,155,159,154,182,172,113,140,181,173,177,179,180,183,180,139,150,189,183,69,87,91,99,108,124,133,142,147,151,156,159,157,180,174,120,131,183,177,179,181,181,185,166,112,134,192,183,74,87,93,100,110,124,134,142,148,154,158,159,158,179,172,125,118,182,177,180,182,187,181,146,109,176,189,185,78,87,95,100,110,126,135,142,149,154,158,159,159,185,183,127,114,182,178,181,183,190,170,122,137,194,186,188,81,88,95,102,112,129,137,144,150,155,158,162,161,191,188,136,121,183,180,182,184,174,148,113,181,191,188,189,84,90,95,102,114,129,137,145,151,155,158,161,158,180,173,132,116,180,179,185,186,167,116,141,198,188,190,190,85,90,96,104,116,130,139,145,151,156,160,190,157,145,146,114,112,180,181,185,185,152,110,182,192,190,191,191,86,90,98,105,118,132,139,146,153,155,166,197,152,114,108,97,115,167,174,179,173,113,145,198,190,192,192,192,87,92,99,105,119,133,140,147,153,156,189,158,134,111,84,93,117,153,164,161,132,108,189,191,192,192,193,193,87,92,99,105,121,134,141,149,149,188,200,176,149,132,91,83,106,132,145,133,97,153,200,190,193,193,193,193,88,92,100,107,123,133,141,148,154,196,188,206,187,151,103,82,102,114,130,112,109,196,193,193,194,194,194,194,88,93,101,108,123,134,142,144,170,174,172,199,188,129,98,89,93,105,113,95,152,201,193,194,195,195,195,195,88,94,102,109,126,135,145,145,186,183,152,126,155,128,104,92,90,95,98,92,180,197,195,195,195,195,195,196,89,95,102,110,126,135,145,148,188,156,124,111,147,145,112,93,91,89,93,94,185,196,196,197,197,197,197,197,90,97,101,110,126,136,143,156,197,162,157,141,141,165,121,104,96,90,87,96,187,198,196,197,198,199,198,198,90,97,102,111,128,137,142,164,197,174,160,133,195,195,134,125,101,87,86,104,194,197,197,197,198,198,198,199,90,97,104,113,129,137,141,167,207,184,149,162,221,182,139,128,103,88,84,113,199,196,197,198,198,198,199,199,91,98,104,114,128,137,141,168,207,166,149,177,200,160,128,121,108,92,80,138,205,195,198,198,198,199,200,200,93,98,102,114,129,138,144,165,191,160,159,172,191,157,138,112,106,93,82,164,201,195,198,199,199,200,200,200,92,97,102,115,130,139,144,160,176,176,172,168,193,153,148,119,94,91,88,181,200,196,199,199,200,201,201,201,92,97,104,118,130,137,146,153,179,196,158,172,187,143,132,113,92,85,99,191,198,198,200,200,200,201,201,201,91,96,101,117,128,136,147,149,177,190,157,153,169,128,112,98,90,77,117,197,193,198,200,200,200,201,201,201,90,96,100,115,126,136,145,150,166,173,156,154,153,128,113,102,92,74,130,199,191,196,197,197,198,199,200,200
6,138,140,143,144,147,149,151,153,155,158,158,159,161,160,161,164,164,164,163,163,163,164,165,166,166,166,165,165,140,142,143,144,146,150,152,154,156,157,158,159,161,160,163,164,164,164,165,164,164,165,165,165,166,166,166,165,141,141,143,145,148,150,152,154,155,156,158,159,162,162,162,163,164,163,164,165,163,165,165,165,166,167,167,165,141,142,144,147,150,151,152,156,157,158,159,161,163,164,164,164,165,166,166,165,164,164,165,165,166,169,167,165,142,144,146,149,151,153,154,157,158,159,161,163,164,163,159,150,136,139,149,144,141,137,123,149,156,151,167,167,144,145,147,151,152,154,156,158,159,160,162,164,165,163,159,142,117,119,132,135,128,122,111,121,139,116,166,168,144,145,146,151,153,155,157,158,159,161,168,172,168,163,147,125,113,103,100,104,99,100,98,96,101,130,171,169,145,148,149,151,153,156,159,162,163,167,164,156,145,128,108,90,86,97,101,108,122,131,138,144,155,170,169,170,146,149,151,153,153,159,168,157,146,142,141,136,134,127,114,97,107,137,153,173,174,176,177,174,173,172,172,171,149,151,152,154,154,180,176,141,122,121,126,131,137,139,135,129,122,117,103,163,176,175,175,174,174,174,173,173,149,151,152,155,155,193,166,137,135,127,122,117,118,123,122,117,109,104,80,149,180,176,176,176,176,175,175,175,150,151,155,158,157,193,161,154,160,139,125,125,124,130,133,125,110,98,89,161,180,178,178,177,177,177,177,176,151,151,155,157,162,193,180,188,173,141,121,120,120,123,125,122,117,111,98,130,184,179,179,178,179,179,178,177,151,152,156,157,169,194,191,187,172,156,145,126,108,96,105,109,105,99,91,77,147,184,180,180,179,180,180,179,152,154,157,156,177,194,190,184,183,179,163,136,118,114,123,120,104,92,89,63,100,187,182,181,180,181,181,180,153,155,158,156,186,196,193,190,191,178,164,145,126,118,123,118,109,99,100,73,124,187,182,181,181,183,183,182,153,155,157,158,191,196,192,192,189,178,164,140,127,125,121,119,113,107,96,115,179,183,183,182,182,184,183,182,154,156,157,161,196,192,191,189,187,172,148,137,129,125,114,107,111,106,91,163,186,183,183,182,182,184,184,182,156,157,159,165,199,192,190,188,180,151,140,140,130,110,98,64,86,95,103,182,184,183,184,185,185,186,185,183,156,158,158,171,194,188,188,184,167,138,133,138,126,91,61,48,71,88,146,187,183,183,185,186,186,185,184,183,157,158,156,177,189,184,184,174,150,130,138,135,113,94,63,70,108,145,184,186,186,186,186,186,186,185,186,184,158,159,158,183,185,178,178,163,144,132,144,132,110,91,71,95,186,188,185,186,187,187,187,187,186,186,187,185,158,161,159,184,181,179,171,155,140,145,150,127,108,89,73,123,193,187,187,187,188,188,188,187,187,187,187,186,158,161,156,179,180,171,157,152,138,149,143,119,102,86,82,167,190,188,188,189,189,188,188,188,188,189,187,186,159,161,157,173,173,166,155,141,139,149,132,112,97,81,127,190,188,189,189,189,189,189,189,189,189,187,186,186,159,161,153,178,178,163,155,135,142,143,125,108,88,106,185,190,189,191,190,190,190,190,190,189,189,188,188,187,158,157,155,181,173,160,150,136,141,134,114,100,82,155,194,191,192,192,192,190,189,191,191,189,189,189,189,188,160,154,158,175,165,146,138,138,133,124,106,92,85,173,191,192,192,192,193,192,192,193,191,191,189,189,189,189
15,104,114,122,130,135,136,139,145,150,153,157,162,165,168,171,174,176,178,181,182,183,184,185,187,187,187,189,188,106,116,123,130,137,138,141,147,152,155,159,163,165,169,173,176,179,181,183,183,184,186,186,188,188,189,191,191,107,117,125,133,139,141,143,148,154,157,161,164,168,170,174,177,180,182,183,184,185,187,188,188,189,189,191,192,108,119,126,134,138,140,143,150,155,158,163,167,170,173,176,178,181,184,185,186,187,189,190,189,190,192,192,193,110,120,129,135,139,140,144,152,156,160,164,168,170,174,177,180,183,185,187,188,189,191,192,192,193,195,194,195,111,121,130,137,141,142,147,153,159,163,166,169,172,175,178,182,183,186,187,188,190,191,193,194,195,195,196,197,112,122,131,137,139,144,148,154,159,164,167,171,174,178,180,182,185,188,189,190,192,194,195,197,197,197,197,198,112,123,131,142,194,174,159,157,159,166,169,173,176,181,181,185,188,189,191,193,194,195,197,198,198,198,198,200,114,126,129,154,219,182,170,169,163,173,172,171,169,174,182,188,190,191,193,194,194,196,197,198,199,200,201,201,115,126,134,142,170,169,162,156,157,177,175,172,165,152,164,174,179,186,192,194,198,202,201,200,202,202,203,203,116,126,136,143,146,149,147,140,146,161,163,165,163,165,172,164,167,172,182,183,175,184,200,205,201,204,204,204,119,129,138,144,149,152,155,161,163,164,160,152,151,161,166,160,156,154,174,184,174,161,152,187,211,204,206,207,119,130,139,144,149,152,156,163,169,173,176,174,171,168,161,151,142,152,172,182,190,160,152,140,179,213,206,209,119,130,139,146,151,154,158,164,168,174,178,182,186,188,187,179,171,183,181,176,182,175,162,168,138,171,215,207,122,132,142,147,153,156,159,164,169,175,179,183,186,191,189,200,225,203,175,138,180,180,159,180,162,129,176,220,123,132,142,149,153,155,159,165,171,176,181,184,204,179,159,174,201,196,158,107,173,180,163,179,177,155,120,178,123,135,143,150,155,155,160,167,172,178,180,190,210,176,147,179,219,207,156,136,158,168,175,176,169,154,131,116,126,136,144,152,156,157,162,168,173,179,183,190,189,156,150,188,219,200,151,146,147,145,160,165,145,145,137,125,126,137,146,154,156,159,163,168,174,180,184,186,195,194,160,181,205,179,156,155,157,154,160,162,135,129,137,134,126,137,146,153,155,158,164,170,176,181,185,186,199,240,203,131,116,118,133,161,167,164,170,166,144,136,137,135,127,138,148,154,156,159,165,171,177,181,187,189,192,238,215,149,75,50,42,63,118,164,165,163,150,151,141,128,128,138,149,155,157,159,166,172,177,183,188,190,192,238,214,143,94,86,62,35,38,128,154,146,137,122,104,88,128,139,149,155,157,159,166,173,178,184,188,193,190,232,214,121,128,129,115,83,59,67,105,94,80,66,63,55,129,140,149,155,157,159,167,174,179,185,189,194,190,226,225,132,161,158,146,141,112,75,68,65,64,59,60,58,128,140,150,156,158,161,166,173,180,184,188,194,191,217,239,141,153,169,153,131,92,71,69,67,69,62,62,58,128,140,150,155,156,159,166,173,179,184,188,191,193,202,240,147,150,217,191,118,79,65,68,68,67,62,62,60,130,140,150,156,157,161,167,175,180,185,188,193,194,203,224,125,167,223,201,110,71,66,68,67,65,62,63,63,131,142,150,157,158,162,169,175,180,185,189,194,195,205,179,150,210,211,212,113,81,73,72,65,62,63,64,64
19,97,101,106,109,117,124,129,134,138,140,142,145,148,151,153,155,157,159,160,161,163,165,165,167,168,168,170,170,97,101,105,110,118,125,131,136,139,141,143,146,149,152,154,158,159,160,162,164,165,166,166,169,170,170,171,171,99,103,108,112,120,127,132,138,141,143,145,148,150,153,155,159,160,162,164,165,167,168,169,170,171,172,173,173,99,104,110,114,121,129,134,139,142,144,147,149,153,156,159,161,163,165,165,167,170,171,172,172,174,174,173,175,100,105,110,114,123,129,136,140,144,146,147,151,154,157,159,162,166,168,166,169,171,172,172,173,175,173,180,170,100,106,111,116,124,131,137,142,145,147,149,152,157,157,169,168,145,160,173,170,172,174,174,175,172,190,200,121,101,106,111,116,125,132,139,143,147,147,151,153,158,156,199,175,137,114,164,172,172,174,181,183,191,196,145,107,100,107,112,117,126,133,140,145,148,149,151,156,159,155,188,190,146,130,168,184,176,180,190,191,177,135,112,162,101,108,112,119,128,134,140,146,149,148,155,151,157,163,175,188,178,186,183,179,171,158,169,156,119,123,167,186,103,108,112,119,129,136,142,147,146,173,188,155,149,155,167,173,167,159,151,157,143,126,125,127,153,184,184,182,103,109,113,120,129,136,143,147,149,200,175,160,160,165,174,174,163,152,149,138,138,110,166,183,189,184,184,185,103,109,112,121,129,136,144,144,161,189,151,151,158,172,177,174,171,165,147,113,105,124,193,183,184,186,186,185,104,110,114,122,130,137,145,141,175,184,159,157,163,162,154,149,152,139,124,107,89,143,191,183,186,187,186,186,106,110,115,123,131,138,144,145,210,198,178,176,176,167,165,159,146,106,100,104,92,164,191,186,188,188,189,189,106,111,115,125,134,140,146,151,210,193,176,162,155,162,164,157,136,103,97,105,100,175,189,187,189,189,190,190,105,111,116,125,133,141,147,152,193,185,162,145,125,122,138,135,130,107,100,102,122,190,186,188,189,189,191,190,107,110,116,127,134,142,148,150,183,184,163,121,111,89,80,115,135,110,103,105,121,193,188,189,189,190,191,191,107,110,116,127,136,143,149,149,182,187,163,125,99,68,105,134,135,106,102,102,102,182,190,188,190,192,193,193,107,111,117,128,135,143,152,144,180,189,163,137,116,89,92,101,93,87,93,102,102,175,194,190,191,192,192,192,108,111,119,128,136,144,153,143,183,191,165,142,118,107,95,82,82,92,98,103,104,178,195,191,192,193,193,193,108,111,119,128,137,145,153,144,184,190,164,141,121,112,112,99,90,93,99,101,110,185,192,193,194,195,195,194,109,112,120,130,138,145,153,144,174,184,160,139,120,112,111,100,91,97,102,101,128,196,190,195,195,195,195,195,108,112,121,131,140,145,154,145,173,179,156,134,118,111,108,101,97,101,108,98,157,199,193,195,195,196,197,197,107,112,122,131,140,147,154,152,177,175,152,131,117,109,109,107,103,106,101,117,190,193,194,196,196,197,197,197,108,113,123,132,140,147,151,154,187,173,149,126,114,110,113,109,105,101,125,181,193,192,195,196,196,197,198,198,109,113,124,133,141,149,151,156,185,167,151,132,117,113,113,111,102,119,188,192,191,194,196,197,197,198,198,198,109,114,124,133,141,150,151,164,177,161,147,134,119,109,106,106,96,155,193,190,194,195,197,198,198,198,199,200,108,113,123,133,142,151,151,180,177,158,139,125,112,102,99,102,100,168,191,192,195,196,197,198,198,199,201,201
10,121,129,136,132,112,92,105,63,52,92,90,101,104,122,138,144,151,160,165,172,179,184,185,191,192,195,198,200,131,139,146,135,121,95,119,56,63,93,95,95,131,176,136,148,153,163,168,174,179,184,187,192,194,196,198,200,143,151,158,139,129,98,128,47,72,93,99,88,184,210,116,149,157,166,172,176,181,185,191,193,196,197,200,200,155,163,169,144,135,103,133,41,81,93,100,93,167,220,119,134,167,169,175,179,184,190,195,198,199,199,200,201,166,176,177,148,138,113,133,37,88,94,100,99,139,221,141,116,172,176,182,186,191,197,201,204,206,206,206,206,176,189,184,154,139,125,126,38,97,95,100,105,122,218,180,113,169,186,190,193,200,207,211,212,213,214,214,213,186,199,188,162,138,139,116,44,101,97,103,108,117,206,206,122,155,197,195,202,209,215,218,220,221,221,221,222,194,206,190,170,136,154,103,53,102,98,104,111,122,189,221,135,135,205,202,210,215,222,225,228,229,228,229,230,200,214,190,176,133,167,87,64,104,99,104,113,127,188,243,157,126,210,211,217,223,229,232,237,237,238,238,238,206,219,191,182,133,178,74,70,101,101,105,113,131,192,241,168,125,213,219,224,230,234,238,242,244,245,244,244,212,222,192,187,133,182,55,108,112,100,105,116,136,190,224,167,119,209,226,229,236,242,246,249,251,252,252,252,217,225,194,185,139,170,121,175,104,113,129,117,143,199,201,174,114,201,234,234,242,248,252,255,255,255,255,255,221,224,195,182,145,165,163,166,99,92,94,100,137,210,184,210,108,187,242,238,247,254,255,255,255,255,255,255,225,225,199,177,151,194,128,154,134,100,85,75,81,119,151,178,103,167,249,243,252,255,255,255,255,255,255,255,228,224,204,170,161,161,88,97,157,140,114,76,55,91,123,137,115,139,250,248,255,255,255,255,255,255,255,255,231,221,212,166,174,142,85,149,176,159,114,79,66,76,97,115,112,117,247,253,255,255,255,255,255,255,255,255,234,219,216,159,195,107,121,237,205,154,120,93,83,78,89,98,103,115,248,255,255,255,255,255,255,255,255,255,235,220,217,152,202,89,135,239,200,136,146,121,92,85,84,91,94,119,253,255,255,255,255,255,255,255,255,255,238,220,217,149,210,78,92,255,243,120,108,145,118,100,81,82,90,130,255,255,255,255,255,255,255,255,255,255,237,222,220,150,214,64,97,255,253,111,150,148,144,116,85,83,82,148,255,255,255,255,255,255,255,255,255,255,236,224,222,154,222,56,94,236,186,135,225,175,145,135,95,88,76,158,255,255,255,255,255,255,255,255,255,255,236,229,216,160,218,50,89,215,237,192,232,203,156,141,113,97,81,169,255,255,255,255,255,255,255,255,255,255,238,235,208,170,208,46,91,177,241,210,221,204,188,148,117,103,82,175,255,255,255,255,255,255,255,255,255,255,240,238,199,184,192,32,99,116,226,242,221,218,187,157,126,107,83,167,255,255,255,255,255,255,255,255,255,255,238,241,189,192,189,77,127,106,213,243,216,237,179,155,122,110,90,186,255,255,255,255,255,255,255,255,255,255,228,243,184,192,224,148,142,138,178,241,213,227,177,143,123,117,95,156,197,201,206,211,220,222,226,231,236,233,235,241,179,202,217,131,130,137,135,218,210,195,185,162,147,122,89,123,147,144,144,146,146,147,147,147,147,101,239,236,174,211,212,137,137,142,137,171,183,172,187,193,180,123,81,88,157,154,158,161,160,157,156,163,129,87
10,75,81,87,84,68,51,62,28,19,51,50,58,61,75,89,94,99,107,110,116,122,126,127,131,132,135,137,139,83,89,95,86,75,54,73,22,27,52,53,54,83,119,87,96,100,109,113,118,122,126,129,132,134,136,137,139,92,99,105,89,81,56,81,15,35,52,56,48,126,147,71,97,104,111,116,120,124,127,131,134,135,137,139,139,102,109,114,94,86,60,85,9,43,52,58,52,112,155,73,85,112,114,119,122,126,131,135,137,138,139,139,140,111,119,120,97,89,68,85,7,48,53,57,57,90,156,91,71,117,120,125,128,131,136,140,143,144,144,144,144,120,130,126,102,89,78,79,8,55,54,58,62,75,154,123,68,114,128,131,133,139,145,148,149,150,150,150,150,127,138,129,108,88,90,71,12,59,55,60,65,71,144,144,76,102,136,135,141,146,151,154,155,156,156,156,157,134,144,131,115,87,102,60,19,59,56,61,67,76,130,156,86,86,143,141,147,151,157,159,162,162,162,163,163,139,150,131,120,85,112,47,28,61,57,61,68,80,130,174,104,79,147,148,153,158,162,165,169,169,170,170,170,144,154,132,125,84,121,37,33,59,59,62,68,83,132,172,113,78,150,155,159,164,167,170,174,175,176,175,175,149,157,133,128,85,125,21,64,67,58,61,71,87,131,159,112,73,147,160,162,169,173,176,179,180,181,181,181,153,159,134,127,89,115,75,119,61,68,81,71,93,138,140,118,69,140,167,167,174,178,181,184,184,185,185,186,156,158,135,124,94,111,109,111,57,51,53,58,88,147,126,147,64,128,174,170,178,183,186,188,188,188,189,189,159,159,138,120,99,134,80,101,86,57,45,37,42,73,100,121,60,112,179,174,181,186,190,191,191,191,192,193,162,158,142,115,107,108,48,56,104,90,69,38,21,50,77,88,70,89,180,178,184,188,190,193,194,194,194,196,164,156,149,112,118,92,45,97,120,106,69,41,30,38,55,70,67,71,177,182,187,191,194,195,196,196,197,198,167,155,152,106,135,63,75,169,143,102,74,52,44,40,49,56,60,70,178,185,188,193,196,197,199,200,199,200,168,155,153,100,141,48,86,171,139,87,95,75,51,45,45,51,53,73,183,187,192,195,198,200,201,202,203,203,170,155,153,98,148,40,51,185,174,74,64,94,72,58,42,43,50,82,188,187,193,198,201,201,202,203,204,205,169,157,156,99,151,28,55,184,182,67,98,97,94,71,45,44,43,97,192,187,194,199,202,202,204,205,205,206,169,159,157,102,157,22,53,168,128,86,159,119,94,86,53,48,38,105,195,187,195,199,203,204,205,207,209,208,169,162,152,106,153,17,49,152,169,133,165,141,103,91,68,55,42,114,195,188,194,198,203,204,205,207,208,207,170,168,146,115,146,14,51,121,172,147,156,143,129,97,72,60,43,119,195,188,194,198,202,204,205,206,208,208,172,170,139,126,133,3,57,71,160,173,156,154,128,104,79,64,44,113,193,187,193,197,201,204,205,205,207,208,170,172,130,133,130,39,80,63,150,174,152,169,122,102,75,66,49,127,200,195,202,206,209,211,213,215,216,219,162,174,126,132,158,97,92,88,122,173,149,161,121,93,76,72,53,103,137,140,144,148,155,157,160,164,168,166,167,173,122,141,153,83,82,88,86,154,147,135,127,108,96,75,49,77,96,93,94,95,95,96,96,96,96,58,171,168,118,148,149,88,88,92,88,115,125,117,128,133,123,77,42,48,104,101,105,107,107,104,104,109,81,47
1,150,153,159,162,166,166,167,170,171,171,172,171,173,177,172,172,173,173,174,174,174,174,175,173,172,173,172,170,155,159,162,166,170,171,172,174,174,176,176,182,166,159,180,175,177,177,177,176,178,178,178,177,176,175,174,174,159,164,167,170,173,175,175,177,178,180,172,196,177,91,187,188,182,183,181,180,182,183,183,183,181,179,178,178,163,167,170,174,177,180,180,181,179,204,179,138,193,77,148,158,188,187,186,186,186,186,187,186,185,184,183,182,166,171,173,179,182,183,184,188,182,215,181,109,193,79,91,102,147,200,188,189,190,190,191,188,187,189,187,185,169,173,178,182,186,186,188,191,187,217,190,112,197,113,97,130,97,206,190,192,193,194,194,191,190,189,190,189,172,177,183,185,187,192,192,197,183,204,217,110,190,150,87,147,81,182,199,197,197,196,197,197,195,194,192,192,177,181,185,189,190,195,193,207,196,122,225,124,157,164,93,165,114,149,211,198,200,201,201,200,199,198,197,194,181,185,189,193,195,199,195,216,202,90,217,139,128,176,113,182,165,113,207,202,202,204,202,202,201,200,199,197,185,189,192,194,198,202,197,216,205,98,209,152,130,201,140,147,196,106,181,214,207,207,205,204,204,202,201,199,187,191,194,196,200,204,201,220,221,109,210,198,127,205,156,118,215,141,142,222,207,210,210,209,207,206,204,202,189,193,197,199,203,206,204,224,222,108,192,215,112,159,161,99,220,176,116,213,213,213,212,211,210,209,208,207,192,196,199,203,208,210,206,222,224,136,140,207,76,129,179,83,191,193,111,189,222,214,215,214,213,214,211,208,196,199,201,207,209,211,210,223,235,160,91,199,152,160,168,176,202,150,114,154,231,214,217,216,215,215,212,211,197,200,204,208,210,213,213,224,236,141,103,174,222,169,149,223,194,130,131,100,221,220,219,218,217,216,215,212,196,201,205,209,211,216,215,224,229,178,194,134,183,173,177,233,164,128,142,89,176,232,221,220,219,219,217,217,198,202,206,209,213,218,216,226,233,206,194,132,137,194,238,226,204,163,114,90,126,236,223,224,221,220,219,218,198,204,209,212,214,219,217,234,236,180,169,136,167,230,232,178,194,223,183,116,84,228,227,225,224,223,223,222,200,204,210,215,217,220,217,238,247,172,144,163,197,173,151,101,172,251,230,184,102,195,236,226,227,227,225,222,200,205,210,213,218,218,218,233,255,194,139,143,125,121,113,185,210,223,225,178,122,135,242,227,229,227,226,224,200,205,208,210,216,218,217,224,255,224,138,152,161,187,231,255,244,221,203,160,91,129,243,226,228,228,227,225,200,205,208,211,217,219,218,222,254,252,162,161,180,191,252,253,248,221,187,152,76,139,244,225,228,228,227,225,202,207,210,214,217,218,221,220,249,255,197,168,194,177,245,255,255,221,176,140,72,158,243,227,231,229,228,226,202,206,208,213,216,218,220,220,238,255,224,180,222,168,228,255,254,213,163,124,70,178,244,230,233,230,228,228,202,207,209,212,216,218,221,222,225,252,241,202,231,177,198,255,239,196,155,114,67,188,243,230,233,230,228,226,203,210,215,218,223,226,227,232,229,241,247,228,217,192,162,252,233,191,144,104,66,207,246,235,232,231,232,231,110,116,121,129,134,138,142,148,143,188,255,238,206,185,147,205,222,173,126,94,81,205,218,222,235,240,233,228,84,81,82,84,84,85,87,90,77,124,250,218,192,172,140,167,198,154,112,91,89,104,155,227,222,217,241,227
0,164,164,166,166,166,167,167,167,167,167,166,167,167,166,167,167,166,166,165,164,165,165,163,162,162,162,162,161,166,166,167,168,168,168,168,168,167,167,167,168,168,168,168,168,167,167,167,167,166,166,164,163,162,164,163,163,167,169,170,170,170,171,170,170,169,170,170,169,169,169,169,169,168,167,166,166,166,163,154,165,164,165,164,164,170,172,171,171,171,172,172,172,171,171,171,170,170,171,156,143,156,162,147,138,158,161,119,157,166,165,165,165,171,172,171,172,172,173,173,173,173,173,163,149,163,179,158,126,109,149,142,123,112,140,123,128,166,166,166,166,171,172,172,173,174,174,174,172,173,185,165,136,139,179,161,139,104,145,147,135,102,95,143,114,137,162,168,167,172,173,173,174,174,174,176,157,151,186,171,151,138,178,163,146,101,149,150,134,105,69,131,134,114,117,165,168,172,174,174,175,174,181,188,167,136,162,182,156,132,183,167,143,94,152,147,119,105,53,98,148,130,91,146,170,174,175,176,176,176,187,189,179,156,131,183,158,123,178,169,138,89,128,133,101,92,44,105,159,144,99,133,172,175,176,176,177,180,181,178,182,159,113,164,160,118,155,164,126,85,86,106,92,79,47,132,165,147,102,125,173,174,175,176,176,180,170,144,158,137,97,132,145,108,117,135,105,82,58,83,96,77,68,143,162,141,99,117,173,175,176,177,177,180,179,149,148,118,82,106,123,96,83,107,92,74,57,111,141,128,123,141,150,135,94,113,174,176,178,179,179,183,189,165,150,118,91,91,109,94,67,92,107,110,139,163,158,147,137,125,128,126,97,105,174,178,180,180,180,188,188,166,143,124,102,77,113,111,65,103,160,175,178,170,156,144,131,116,109,113,99,102,172,179,180,180,179,194,200,183,163,140,114,93,114,116,123,169,187,184,175,165,152,139,125,107,99,100,93,114,174,181,180,182,181,196,204,190,169,150,141,139,141,157,179,189,185,179,169,160,147,132,115,100,95,95,92,149,178,181,182,183,182,200,208,193,173,157,152,152,162,176,184,188,183,172,165,152,138,126,107,96,95,90,130,176,179,181,182,184,184,201,212,198,183,170,162,163,174,182,185,185,175,167,161,144,129,116,101,95,89,109,173,180,179,181,182,183,183,200,213,205,190,176,166,165,175,184,183,177,165,157,151,135,120,107,99,93,92,154,181,180,179,182,183,184,184,195,212,210,197,179,165,160,165,171,168,167,154,141,138,121,110,103,95,91,139,180,181,181,181,184,184,185,186,189,206,205,193,178,163,158,162,165,167,164,150,134,128,112,102,96,98,140,178,181,182,183,182,185,185,186,186,186,195,194,181,170,156,158,162,158,164,159,146,134,123,106,92,100,153,181,183,182,183,183,182,185,186,187,187,187,191,182,178,173,165,171,165,147,159,157,140,126,114,95,88,152,184,184,183,183,183,184,183,186,187,187,188,188,191,189,192,185,176,174,165,140,151,154,134,118,104,81,121,184,185,186,186,185,184,184,183,186,187,187,187,188,192,202,200,190,171,167,161,136,147,144,128,113,94,82,159,188,186,187,186,185,185,185,185,186,187,188,188,188,187,208,201,187,163,163,159,138,140,133,124,110,86,91,177,188,187,187,186,185,186,186,185,187,187,188,188,188,184,204,195,180,159,164,163,135,128,129,120,107,84,101,185,188,189,188,187,187,187,186,185,186,187,187,188,188,186,202,187,173,158,164,160,128,131,127,117,104,83,104,186,188,188,188,188,187,187,187,186
13,215,215,217,215,215,215,217,218,217,216,216,218,218,220,220,218,219,219,220,220,220,219,218,218,218,217,216,215,216,218,219,217,217,218,219,218,219,219,219,218,218,221,222,221,222,222,220,220,222,220,219,219,221,220,217,216,217,219,218,219,220,219,220,220,220,220,221,220,220,221,221,220,220,219,224,225,224,222,220,221,221,220,219,219,217,218,219,220,219,222,221,222,220,219,221,223,223,221,223,232,230,199,173,205,216,222,226,222,223,220,221,221,217,219,220,221,220,223,222,221,221,220,221,224,220,231,255,255,253,216,161,120,141,147,207,228,222,222,221,221,218,218,220,221,221,221,221,222,224,224,222,222,222,230,223,238,252,227,169,117,100,113,138,238,220,222,222,222,220,220,220,221,222,222,222,223,225,221,227,212,187,213,186,177,222,229,196,131,110,169,132,227,224,223,225,223,220,221,221,222,223,223,224,225,224,227,254,212,163,200,215,207,221,214,217,140,104,141,124,224,226,225,225,224,220,220,221,223,223,223,224,224,218,233,255,223,192,155,177,217,224,199,150,107,67,139,212,226,227,226,226,226,220,222,221,222,223,226,220,231,229,162,179,236,216,175,92,135,209,208,170,149,116,114,231,229,227,226,226,225,219,221,223,223,222,218,227,254,222,143,104,200,242,193,115,39,127,166,181,209,190,115,159,241,224,228,226,226,219,220,222,223,220,232,255,235,199,155,109,152,251,193,149,69,59,71,194,232,215,173,110,211,232,226,226,226,221,220,220,220,227,248,225,200,201,173,132,104,245,204,178,109,67,66,146,247,230,198,132,132,236,225,225,225,222,221,222,220,242,230,185,179,212,184,150,72,186,239,197,152,64,77,133,235,238,199,161,109,195,235,226,225,223,222,222,223,245,238,207,170,213,190,162,119,71,224,224,183,116,104,232,225,221,194,170,118,168,242,226,228,222,221,220,224,240,227,209,172,170,199,196,166,61,97,232,214,201,145,228,223,195,161,148,106,180,239,226,228,220,220,221,220,242,247,226,199,161,164,205,178,158,58,161,226,197,203,222,206,182,149,115,99,210,233,227,227,227,227,228,225,241,252,238,212,196,175,178,174,198,127,196,243,228,237,214,193,171,142,107,117,230,228,229,228,173,177,183,180,222,255,246,225,204,196,197,179,146,158,237,252,251,226,210,190,163,132,94,159,243,234,236,234,106,105,110,94,174,255,244,234,217,203,207,206,172,159,224,249,247,226,194,179,155,121,98,141,175,175,179,179,113,112,114,104,134,249,237,238,234,219,208,204,192,150,185,245,236,219,189,158,139,111,106,106,98,94,96,106,113,113,113,115,105,214,237,234,237,233,220,206,191,170,153,224,223,203,181,146,125,109,101,105,114,138,168,200,112,113,115,118,104,148,242,229,239,239,222,207,187,174,155,185,208,186,158,140,120,97,114,187,212,228,235,235,112,114,114,115,119,103,195,240,234,230,211,195,181,167,155,158,182,174,152,133,117,84,184,254,229,219,211,221,113,114,114,113,118,106,132,241,227,210,194,185,176,164,142,141,167,177,161,122,101,100,233,235,217,205,182,176,113,114,113,113,111,116,106,212,233,195,179,181,174,159,136,125,173,190,149,111,85,162,251,228,211,166,155,160,113,113,114,112,111,119,102,185,241,205,199,192,174,154,138,122,182,182,124,102,97,233,244,244,220,157,124,156,113,114,115,111,112,118,101,174,247,216,214,202,180,159,146,120,184,162,115,86,137,247,230,255,240,174,115,135
0,187,188,190,192,193,195,198,198,200,201,201,201,202,203,206,204,206,206,206,207,207,207,206,207,207,206,207,207,188,190,193,194,196,197,199,200,201,202,203,204,204,206,208,207,207,207,207,208,208,208,208,208,208,207,208,208,187,190,193,196,198,199,201,202,203,205,206,206,207,208,208,207,209,209,208,208,209,210,210,210,210,209,209,210,188,191,194,197,198,199,201,203,205,207,207,208,209,209,210,209,210,211,211,209,211,213,208,211,212,212,211,213,191,194,196,198,199,201,203,205,206,208,212,211,209,217,220,207,205,216,227,207,208,230,190,208,214,214,214,213,194,196,198,200,201,204,205,206,207,220,237,208,188,235,228,193,172,225,231,201,179,226,191,184,215,214,214,214,194,197,200,202,203,206,208,212,207,245,240,213,166,205,224,201,163,183,227,204,162,203,205,168,207,213,215,217,197,198,200,203,206,208,235,225,196,243,237,221,180,193,222,210,171,183,227,206,152,162,210,181,171,198,217,217,197,199,201,204,202,226,250,229,196,222,240,221,193,189,224,215,169,193,226,194,151,114,199,199,180,157,199,218,196,200,203,204,203,244,252,238,210,202,242,219,195,181,232,219,157,192,218,172,134,80,170,213,196,152,180,222,199,201,204,206,212,248,250,247,219,187,240,218,190,178,234,213,147,153,186,154,109,97,201,224,203,154,196,222,200,202,204,204,225,239,233,244,215,176,224,212,181,164,218,197,144,118,160,144,92,144,224,225,196,153,217,224,201,204,206,205,243,243,225,224,181,143,192,192,167,137,174,166,134,111,165,148,122,208,227,212,170,162,224,225,202,205,208,219,251,235,198,204,154,123,168,173,157,113,140,151,117,139,202,210,211,214,210,187,154,184,225,227,204,205,204,231,252,238,206,189,164,136,156,179,160,100,126,156,179,227,236,228,215,192,179,162,144,198,225,227,208,208,207,226,254,247,224,194,170,149,158,195,162,105,147,223,247,243,237,224,203,179,159,149,136,214,227,229,209,209,211,226,255,251,236,216,193,176,181,194,183,199,242,253,250,238,227,210,186,163,148,140,173,228,228,229,208,210,211,231,255,254,243,229,215,193,198,215,236,252,254,251,243,229,209,190,168,152,141,161,222,230,230,230,208,211,212,230,254,254,250,240,229,214,211,227,243,254,254,246,236,219,195,170,152,141,142,214,230,232,232,231,209,212,212,229,254,254,254,246,236,224,218,225,240,250,246,236,226,204,177,154,140,135,193,231,232,232,232,232,208,212,216,225,254,254,253,245,230,217,215,218,231,239,232,217,205,187,159,144,130,174,231,234,234,234,234,233,210,214,217,217,250,254,249,238,223,210,211,216,224,225,211,196,178,162,141,128,159,230,234,235,235,235,234,234,211,215,216,214,241,251,239,227,214,201,209,215,217,211,194,176,154,134,116,140,223,236,236,236,236,236,234,235,193,185,183,171,174,177,165,155,149,144,155,157,153,148,137,131,121,110,117,217,235,235,237,236,237,237,236,236,152,143,144,136,127,125,120,108,102,89,83,75,69,70,65,64,66,72,97,169,228,237,237,237,238,238,237,237,142,143,140,135,128,123,116,104,96,86,80,69,64,61,58,56,56,58,60,64,170,239,238,238,238,238,237,237,149,142,142,138,131,120,113,104,93,85,76,68,62,59,56,52,54,54,56,54,193,238,238,238,238,238,239,239,162,146,143,137,131,120,113,102,89,85,76,68,63,59,56,52,52,53,55,94,234,238,238,238,239,239,240,241
1,181,181,182,182,183,182,182,183,182,180,180,180,179,177,176,174,173,172,171,171,170,169,166,165,164,104,42,30,181,182,184,183,185,184,184,183,183,182,181,181,180,178,177,178,171,151,168,173,172,170,169,167,164,82,37,32,183,184,185,186,186,187,186,185,185,185,183,182,181,180,167,155,168,119,143,173,173,171,170,168,164,70,40,34,185,186,187,188,188,188,187,186,186,186,184,183,182,184,159,102,134,114,110,144,149,173,171,169,166,88,40,26,187,187,189,189,189,189,188,188,188,187,184,181,175,186,154,91,109,110,105,137,106,166,173,171,170,91,36,26,188,189,190,191,192,191,189,188,189,188,187,174,131,141,143,86,121,123,105,139,92,153,175,172,171,100,36,33,189,190,192,193,193,193,192,191,190,189,191,164,107,104,143,87,122,131,91,128,88,145,176,173,173,135,86,92,190,192,193,194,193,193,194,193,192,191,193,159,99,103,135,85,102,115,91,143,96,137,178,175,174,149,148,149,192,194,195,195,195,195,195,194,193,193,199,162,105,96,117,78,99,102,92,147,101,123,179,177,175,151,144,119,193,195,196,196,196,196,196,196,195,195,203,153,103,100,118,82,116,110,89,135,97,120,181,178,176,160,143,104,195,196,198,198,198,198,198,197,197,196,200,151,103,110,129,85,107,109,87,131,96,124,182,180,178,171,153,137,196,197,199,200,199,199,200,199,198,200,204,157,118,93,106,70,84,86,100,141,106,125,183,180,179,175,160,150,197,199,200,200,200,200,200,199,198,202,196,151,107,76,74,62,76,63,101,134,102,120,184,181,180,178,171,151,198,200,201,202,202,201,201,200,200,204,190,153,130,119,108,99,84,85,110,114,83,130,187,182,180,179,178,167,200,201,201,202,202,202,202,202,200,212,199,167,153,131,165,132,126,121,137,112,73,158,187,185,182,180,179,178,201,202,202,204,205,204,204,204,203,221,192,161,133,106,145,149,151,139,134,112,89,172,187,185,183,181,180,178,201,203,204,206,206,206,206,205,208,221,183,140,113,89,80,120,142,131,140,129,95,146,190,186,184,181,180,178,203,204,205,207,207,207,208,206,212,224,189,152,122,87,72,71,102,116,160,154,108,111,188,186,185,183,181,179,205,206,206,207,208,208,208,207,215,220,189,163,120,96,85,76,140,137,148,169,126,86,167,188,186,185,183,180,206,207,208,209,209,210,209,208,215,216,189,165,111,101,83,120,179,169,147,152,130,80,128,191,186,185,183,181,206,208,210,210,210,210,210,209,214,214,193,165,108,105,94,165,189,172,150,127,111,83,109,190,188,186,183,181,208,209,210,211,212,211,212,211,214,213,194,154,114,98,117,188,189,168,138,121,92,73,135,192,188,187,185,182,208,210,211,212,212,213,213,211,214,209,189,151,127,92,137,191,180,157,128,111,87,73,172,192,189,187,185,185,209,210,211,213,212,212,211,210,210,203,184,157,135,95,152,187,167,145,124,101,72,104,193,193,190,188,186,187,207,209,210,210,210,210,210,209,205,198,180,163,142,102,153,176,153,136,118,87,66,158,195,191,189,187,186,181,208,209,211,212,212,213,213,209,203,199,180,168,138,100,142,158,137,122,100,66,107,192,194,192,190,190,185,139,209,211,212,212,214,200,184,203,194,187,178,164,116,93,122,135,117,99,70,81,178,196,195,191,179,160,119,69,209,211,211,213,216,153,82,120,157,162,155,129,89,90,104,114,95,73,57,153,200,197,179,129,86,59,47,48
14,186,188,191,193,192,193,195,195,196,196,197,196,197,196,195,194,194,193,192,192,191,190,190,188,187,186,185,185,188,190,192,194,194,195,198,198,198,199,199,198,200,199,199,198,197,196,195,194,193,193,192,190,189,189,189,187,191,192,194,196,197,198,199,200,199,201,201,200,202,202,200,201,199,198,197,197,196,194,193,193,192,192,191,190,192,193,195,198,199,200,203,202,203,203,203,203,201,201,202,204,203,200,199,200,199,197,196,195,194,193,192,191,193,195,198,199,200,202,205,206,205,206,205,205,216,194,185,194,193,206,203,201,201,199,199,197,196,195,194,193,194,196,200,201,202,204,205,206,206,207,209,224,216,197,182,179,165,175,204,204,202,201,201,200,199,198,197,196,197,199,201,204,205,206,207,208,209,210,227,223,217,202,206,190,161,132,143,213,204,204,203,201,200,199,198,198,200,201,203,205,207,207,206,210,209,221,229,225,203,119,183,183,175,138,83,157,215,204,205,202,202,201,200,199,201,202,204,206,208,210,209,212,216,233,196,150,138,99,94,108,189,180,90,100,205,207,206,205,204,202,202,201,202,204,206,209,211,213,212,229,242,228,179,125,86,81,73,54,163,208,142,93,189,214,207,207,206,204,203,203,205,207,208,210,214,211,222,243,227,187,157,132,97,61,81,59,102,161,140,92,159,220,208,209,207,206,205,204,206,207,209,212,213,212,242,238,211,158,104,101,90,74,63,94,197,177,180,131,133,221,208,211,209,208,206,206,205,207,210,214,209,239,249,226,210,157,107,75,77,62,115,210,220,212,188,111,131,222,212,213,210,210,208,207,207,210,215,208,231,254,232,225,190,142,118,81,64,94,221,226,214,195,176,101,119,226,213,215,214,212,211,210,209,213,212,220,255,245,234,218,184,154,113,64,51,130,208,226,218,181,167,108,82,193,222,215,216,214,213,211,212,216,210,247,255,243,228,208,181,139,98,64,79,84,90,204,195,161,157,124,93,149,231,216,217,215,214,213,214,212,226,255,253,238,221,204,159,117,82,87,110,112,107,115,142,173,161,121,94,189,227,219,218,216,216,215,213,212,250,255,243,230,211,187,140,117,87,115,127,129,135,119,133,164,148,93,166,231,220,221,219,219,218,217,215,231,255,246,235,217,205,177,141,116,105,127,131,135,128,133,128,155,106,139,231,220,222,221,220,220,218,217,190,255,255,239,221,212,194,173,149,112,113,131,131,129,117,136,122,96,127,230,226,224,224,222,221,221,220,218,99,175,246,229,200,186,170,157,119,105,112,120,127,120,115,116,79,113,223,230,225,226,226,225,222,222,221,219,102,89,129,182,195,160,127,95,84,98,98,106,116,107,93,116,169,229,233,227,228,227,226,226,225,223,222,221,93,96,88,98,111,105,91,79,79,83,84,82,83,88,147,228,242,232,230,230,228,228,227,226,225,225,222,221,91,88,92,92,50,49,60,56,54,56,48,90,145,193,241,235,232,232,232,232,231,229,228,227,226,226,224,222,88,87,83,92,80,34,51,48,44,44,37,67,224,248,232,235,235,234,233,233,232,230,229,228,227,226,225,224,86,83,81,86,85,35,40,45,43,43,39,49,216,241,235,236,236,236,234,233,233,231,231,229,228,227,227,225,75,79,75,83,85,31,38,41,40,43,27,119,255,235,239,238,237,236,235,235,234,232,232,231,230,228,226,226,87,117,67,88,68,27,39,38,37,40,26,171,253,235,239,238,237,236,235,235,235,233,233,232,231,228,228,227
5,164,166,169,170,170,172,173,173,173,175,174,174,175,175,175,175,178,177,175,176,174,174,174,173,171,171,171,170,167,170,172,172,173,174,175,176,176,177,178,178,178,179,178,179,155,175,178,177,178,176,176,175,174,173,173,172,170,172,175,176,176,178,179,179,179,180,181,181,179,181,181,193,136,157,187,180,181,180,179,178,178,177,175,175,174,176,178,179,179,180,182,182,182,183,183,183,184,156,166,202,142,139,192,182,183,182,182,182,181,180,178,177,177,178,181,182,183,184,185,185,185,186,187,185,196,153,140,207,140,127,196,185,186,185,184,183,182,182,182,180,179,181,185,186,186,187,188,188,189,189,190,187,201,164,131,203,140,129,198,188,189,188,187,186,185,184,184,183,181,183,187,188,188,190,190,190,187,189,193,190,203,168,122,200,151,134,200,191,192,191,190,189,188,187,187,185,184,186,188,190,191,193,192,197,167,159,200,191,205,177,125,197,143,138,202,193,194,193,196,195,189,189,189,188,186,188,191,193,193,194,193,199,176,133,199,194,207,180,115,191,137,141,205,196,196,193,166,181,197,191,190,190,188,190,193,195,195,196,195,202,193,119,194,198,206,178,108,190,156,141,207,194,198,198,164,143,196,195,193,192,189,192,195,196,196,197,198,201,192,122,193,201,201,191,117,170,167,143,206,192,184,168,192,170,167,197,195,194,192,194,197,198,198,199,200,201,206,131,176,206,196,198,122,139,169,151,203,194,178,100,164,186,143,186,201,196,194,196,200,199,201,201,201,202,210,157,152,208,198,201,125,133,167,150,194,191,168,138,192,168,146,203,199,198,194,197,200,201,202,202,203,203,198,202,169,178,197,189,144,153,156,138,171,179,148,183,205,140,176,207,199,200,196,198,201,204,204,205,204,206,195,207,196,167,170,169,149,149,148,140,173,179,151,198,189,120,191,205,201,201,199,201,202,204,205,206,206,207,203,203,215,185,163,162,141,146,144,143,167,175,163,211,168,109,202,205,203,203,199,202,203,204,206,207,208,208,208,205,226,204,154,150,136,131,139,146,165,171,163,214,164,123,212,205,205,204,200,203,205,206,206,207,208,209,210,208,228,211,158,129,129,124,136,158,173,161,156,210,165,136,215,205,206,206,203,205,206,207,208,208,210,210,211,208,224,209,164,129,128,125,149,168,183,194,166,198,166,141,217,207,207,206,203,205,206,207,209,211,211,211,213,208,220,204,164,132,123,132,160,174,199,208,178,177,148,137,216,209,208,206,205,206,207,208,210,211,212,212,214,207,220,205,171,133,123,139,172,194,199,201,188,153,116,125,217,209,210,209,205,206,207,210,211,212,213,212,215,208,218,205,175,135,125,138,179,205,203,194,170,131,90,149,220,209,211,211,205,206,210,211,212,212,213,214,217,211,211,204,174,136,130,132,187,212,201,178,152,110,109,209,216,212,212,211,206,207,211,212,212,212,214,215,218,208,199,202,174,141,137,130,185,202,183,161,134,97,181,224,213,213,212,212,207,207,210,211,212,212,215,215,219,210,193,196,168,151,142,133,173,186,172,152,107,130,224,215,217,215,213,213,206,207,210,211,212,212,213,214,216,211,191,187,163,155,137,130,166,175,164,124,96,199,221,216,217,216,215,214,205,207,210,211,211,211,212,214,216,210,194,189,166,154,139,121,153,152,131,94,171,225,214,217,216,216,215,214,206,207,210,211,211,212,213,216,219,208,199,190,158,147,141,118,138,126,94,145,226,215,218,217,216,216,214,213
19,148,153,157,162,167,171,174,177,180,182,184,187,188,189,189,189,192,191,189,189,189,187,187,187,186,184,185,185,150,155,159,164,168,172,175,178,182,184,185,188,189,189,190,192,192,190,189,190,190,190,190,189,187,187,186,186,151,156,162,167,170,175,177,180,182,185,188,189,189,191,193,192,193,193,193,192,192,191,191,191,190,190,189,187,151,157,163,168,173,176,178,181,183,185,188,190,192,194,194,193,193,193,195,194,194,193,192,191,191,191,191,189,154,158,164,169,173,176,179,182,184,188,189,191,194,192,196,198,194,195,197,197,195,194,194,193,193,192,192,190,154,158,163,169,175,179,182,184,186,190,191,190,200,189,133,177,201,196,198,198,196,196,195,195,194,193,191,190,155,160,165,172,177,181,183,185,188,190,193,189,214,198,108,108,205,197,199,198,196,198,197,196,194,194,193,192,157,161,167,173,178,181,184,188,190,190,195,192,222,206,127,79,190,204,199,198,197,199,199,197,196,195,194,194,158,163,169,175,179,183,184,186,192,196,197,191,214,190,128,68,167,209,200,200,200,202,199,194,194,198,196,194,159,163,170,175,180,182,190,194,154,138,161,173,160,149,133,115,130,154,162,153,149,162,138,174,199,178,199,196,159,163,170,175,182,181,204,186,137,134,140,150,159,153,148,137,127,141,167,149,144,153,139,201,209,135,200,198,160,166,173,179,180,194,205,190,154,101,98,101,134,138,140,122,118,122,132,130,127,125,125,145,142,154,205,196,161,167,173,179,182,208,219,200,147,81,70,82,83,84,89,79,78,94,108,113,113,122,131,147,177,203,199,200,161,168,174,177,203,216,220,179,132,95,77,89,93,86,49,94,181,198,202,201,205,212,210,210,209,201,200,200,162,170,171,195,222,219,224,197,144,90,74,74,100,100,74,66,174,219,207,209,209,207,206,204,205,204,202,201,164,168,179,219,219,221,232,209,143,84,69,63,80,106,94,68,56,201,213,209,210,211,208,207,207,206,205,204,166,166,206,223,221,229,229,206,145,87,70,81,76,69,71,87,52,174,221,210,211,212,210,209,208,206,206,205,160,185,225,221,223,226,222,205,157,96,68,64,92,85,59,45,73,210,215,212,212,213,212,211,209,207,207,206,166,215,222,221,223,220,223,216,176,98,71,57,76,90,82,36,142,229,210,213,213,213,212,211,210,209,207,207,207,227,220,222,217,217,225,207,154,103,81,73,68,63,81,53,188,222,213,214,214,215,213,213,212,209,209,208,229,215,222,215,203,202,199,176,130,114,106,91,83,64,45,81,214,217,215,215,215,215,214,213,213,211,209,208,217,214,211,203,200,195,183,167,143,119,103,101,91,77,41,165,231,215,216,217,217,216,216,215,213,212,211,209,209,205,207,200,198,196,184,164,167,143,97,87,94,85,52,186,228,217,217,217,217,217,216,215,213,213,213,212,203,205,205,192,192,192,175,152,155,126,63,59,92,67,110,228,217,219,218,217,217,217,217,215,214,214,213,212,203,209,192,180,178,173,152,125,106,80,38,53,79,72,196,222,216,217,216,216,216,216,216,216,215,213,212,211,204,203,180,154,151,151,120,87,79,65,59,77,110,186,221,214,216,217,216,216,216,216,216,214,215,214,213,212,191,186,171,138,112,112,96,74,68,175,191,197,218,221,215,217,217,218,219,218,217,216,217,215,215,214,213,212,162,172,167,123,74,51,51,29,128,225,215,217,215,216,217,218,220,220,220,219,219,217,217,216,216,215,213,213
16,108,110,114,120,131,142,148,156,161,165,166,168,173,178,182,187,189,191,192,195,198,198,200,202,203,203,206,207,108,110,115,121,132,142,151,158,163,165,166,169,175,180,182,185,189,193,195,196,198,199,201,203,205,204,205,207,108,111,116,121,133,143,152,159,164,165,167,171,175,180,183,187,190,193,195,197,198,200,202,204,205,206,207,208,109,113,116,121,134,144,152,158,164,167,170,173,177,180,185,188,190,194,195,197,200,203,204,205,206,207,208,208,109,114,116,122,136,148,155,161,166,169,172,174,181,186,187,191,197,196,197,200,202,204,207,207,207,208,209,209,110,114,117,125,138,149,159,161,165,169,170,169,171,165,152,144,157,198,200,199,205,206,208,207,210,211,211,211,112,115,119,127,140,150,153,163,174,168,154,140,128,114,106,109,101,123,196,207,205,208,210,211,212,212,213,214,113,116,118,129,139,148,168,186,178,152,120,116,114,102,94,104,114,91,112,200,211,207,212,215,215,214,215,216,113,117,122,124,139,177,194,164,136,114,94,108,109,97,92,103,108,98,98,115,214,210,214,215,215,216,217,217,114,118,109,146,180,172,132,117,110,97,93,112,109,95,98,106,105,97,118,82,149,225,212,216,216,218,219,218,112,111,156,193,151,117,97,101,100,82,105,119,106,97,107,108,96,107,115,101,88,207,216,216,219,222,221,221,107,201,216,146,110,97,86,85,116,148,113,96,72,99,116,103,77,112,112,100,77,139,232,217,222,222,222,223,137,243,167,128,99,81,105,147,221,221,131,72,75,78,106,87,67,124,109,95,91,74,179,230,220,222,223,223,117,185,139,105,103,161,233,228,235,207,151,91,83,78,67,46,79,132,104,108,108,98,92,190,230,222,225,226,112,121,124,114,212,235,231,219,233,199,154,109,90,82,36,19,88,130,103,117,120,120,102,107,228,226,226,227,117,118,121,146,238,212,232,225,229,183,138,111,106,95,85,29,69,121,102,114,126,112,102,78,187,236,226,227,117,122,114,168,248,214,239,227,209,155,107,111,116,106,100,75,46,100,111,160,143,103,90,71,139,242,226,229,118,121,112,200,251,211,238,223,184,130,116,122,125,120,102,90,50,63,167,204,199,177,137,68,140,245,227,231,119,123,113,210,250,206,210,199,134,102,106,130,124,109,104,93,84,67,194,223,224,224,220,166,176,238,230,233,118,121,116,182,255,205,147,136,94,91,101,107,103,94,89,86,104,83,187,232,226,229,233,218,160,185,240,232,118,120,124,148,219,146,107,99,99,110,116,105,86,82,88,80,86,72,152,244,219,226,226,199,150,126,239,233,118,119,128,139,165,116,97,117,110,96,88,84,75,71,74,71,87,108,115,189,212,211,210,182,124,159,243,234,120,121,128,143,155,155,105,102,84,105,108,117,109,84,71,95,108,117,105,88,115,172,184,161,176,234,239,237,120,120,129,143,162,149,91,92,80,87,170,136,106,96,79,65,65,54,53,52,23,118,242,229,243,241,237,238,118,121,129,143,161,125,94,87,91,72,48,76,51,36,27,22,22,24,23,27,10,87,253,236,237,238,239,240,118,121,129,147,150,107,92,84,79,94,41,12,40,37,28,21,20,21,23,25,12,184,249,234,238,239,241,242,117,121,129,148,131,97,89,81,77,81,74,9,29,40,29,21,21,21,23,15,45,236,237,238,241,242,242,242,117,121,130,145,107,91,87,79,74,78,85,19,14,33,28,22,21,20,25,4,105,255,234,239,242,243,243,243
2,71,79,91,109,118,125,132,136,138,141,145,148,151,154,156,158,160,161,162,164,164,165,166,166,166,166,167,166,72,80,93,110,119,126,133,137,139,142,145,148,152,155,157,159,162,163,163,166,167,167,168,167,167,168,168,168,73,81,95,112,121,128,135,138,140,144,146,153,152,146,154,157,159,163,165,168,168,169,169,170,170,170,169,169,74,82,98,114,123,130,136,139,141,145,154,180,172,158,154,148,147,156,154,155,164,170,171,172,171,171,171,171,76,84,102,115,124,130,135,143,148,143,165,183,180,184,182,165,141,128,133,122,130,164,173,172,172,172,172,172,77,85,103,116,125,131,137,174,178,171,173,167,154,150,159,173,156,117,94,117,144,137,161,174,173,173,173,174,77,86,105,117,126,131,156,192,177,178,185,182,170,142,113,118,152,136,101,99,128,104,140,176,174,175,175,175,79,89,107,118,127,134,178,164,148,153,158,153,161,162,135,130,122,137,143,124,93,116,162,174,174,176,176,176,80,91,108,120,127,145,173,171,168,160,146,135,153,149,149,150,118,98,132,126,97,158,175,175,175,177,177,177,82,91,111,121,137,177,181,180,172,163,157,152,151,112,91,107,97,109,115,108,127,172,176,176,176,178,178,177,83,94,112,123,172,182,159,145,126,108,110,111,101,83,70,83,143,168,166,163,173,177,178,178,178,179,179,178,82,96,112,139,190,155,115,91,72,67,69,69,75,72,67,86,168,174,176,178,179,178,176,172,172,179,179,179,84,97,114,171,174,129,94,67,57,64,63,63,70,68,63,80,167,176,176,178,178,157,133,123,122,146,178,179,85,98,139,192,145,104,77,64,60,61,61,67,66,61,58,68,161,178,179,177,141,113,117,122,119,108,167,182,87,99,169,182,129,98,82,71,60,59,63,65,63,61,63,60,137,181,180,146,113,126,135,132,117,111,172,183,88,102,176,166,121,95,80,65,56,57,62,67,66,67,67,66,92,168,168,115,127,138,132,119,126,162,184,184,87,106,176,159,120,91,70,58,56,57,64,71,73,74,78,81,77,92,125,117,131,127,107,135,177,185,185,184,89,109,178,157,116,84,66,61,56,60,69,75,81,87,94,99,95,71,103,126,120,99,100,173,187,187,186,186,89,112,179,157,123,94,75,64,57,61,72,84,95,101,107,110,109,89,112,123,107,85,132,188,188,188,188,187,90,116,176,151,124,97,81,71,60,62,75,95,109,112,117,120,119,102,108,122,101,92,167,190,189,189,189,188,91,116,172,148,124,101,88,79,66,64,80,106,117,123,126,130,124,109,99,117,95,105,184,190,190,190,190,190,93,114,165,146,125,109,96,83,68,65,85,112,123,127,128,130,120,104,95,97,102,155,192,192,193,193,193,192,93,112,158,143,127,113,97,83,71,68,88,111,118,122,121,120,111,96,90,124,172,192,194,194,194,194,194,193,95,108,153,145,127,112,95,82,74,75,94,107,110,110,111,109,99,88,128,186,192,192,194,194,194,194,194,193,94,107,152,149,128,110,93,85,80,81,99,103,104,104,103,98,90,119,177,189,189,190,193,193,193,194,194,193,95,112,160,151,126,109,99,93,87,83,95,96,95,93,89,102,139,179,189,190,191,192,193,194,194,194,193,192,96,144,162,156,130,112,104,96,88,78,79,80,79,87,130,166,184,188,189,190,191,192,193,194,194,193,195,200,114,169,137,150,134,110,97,89,80,73,72,71,67,97,175,183,185,188,189,190,191,192,193,194,194,195,195,199
18,117,120,124,126,130,132,134,136,139,141,144,143,143,143,145,146,148,148,149,148,148,149,149,149,149,148,148,147,119,122,125,128,131,134,137,139,141,142,146,145,146,147,147,149,150,150,152,151,150,150,151,151,151,152,151,149,121,124,128,131,133,136,140,143,145,146,148,148,149,149,150,151,152,151,151,152,152,153,154,154,155,155,154,153,125,127,130,132,136,139,143,146,147,148,150,151,152,153,153,154,154,155,157,155,155,157,156,157,157,157,157,156,125,128,132,135,139,142,145,147,149,151,153,153,154,157,157,157,155,154,140,154,160,162,162,158,159,159,158,158,127,131,134,139,140,144,147,149,152,153,155,155,157,159,157,154,176,145,96,88,158,144,141,165,163,160,160,160,129,132,137,140,141,145,149,149,154,158,157,159,161,159,128,97,150,119,59,55,61,110,84,110,172,161,164,163,131,135,139,141,144,148,150,153,156,157,159,152,153,189,122,83,120,111,62,56,33,103,110,48,138,173,164,164,133,138,141,144,148,150,153,156,158,157,169,136,86,136,151,114,126,136,115,112,92,77,91,49,96,181,164,166,133,139,144,148,149,151,155,158,158,161,184,155,115,72,137,134,93,140,151,149,145,104,47,30,94,183,168,171,137,139,144,149,151,154,157,160,160,169,165,177,150,91,76,133,75,92,149,146,150,110,52,13,108,183,170,173,138,141,146,148,152,155,158,161,160,172,127,145,142,111,46,84,94,66,112,107,138,117,65,14,118,184,171,173,139,144,149,152,155,156,159,162,163,176,108,86,124,80,29,48,80,42,52,96,150,136,82,19,139,180,172,174,141,144,148,152,156,157,161,164,166,179,150,109,106,53,17,39,59,26,27,46,164,149,99,30,146,184,173,174,143,147,150,154,156,160,163,166,169,178,144,96,89,54,15,29,59,10,10,84,169,167,117,44,74,188,174,176,144,148,150,153,156,160,163,165,169,177,159,116,82,55,14,31,60,9,95,176,170,159,113,66,32,167,184,179,145,149,152,155,157,161,165,167,167,183,173,135,92,59,43,31,32,99,189,185,177,143,95,64,44,170,183,180,148,151,153,157,159,164,166,168,169,184,175,138,102,78,66,59,90,175,191,178,159,130,75,46,59,187,180,181,150,151,153,158,162,165,168,171,171,181,177,150,121,105,86,73,124,184,192,169,129,104,68,30,88,193,179,182,148,152,155,157,162,165,169,173,170,178,176,155,129,104,91,77,124,182,190,158,120,88,59,29,119,194,180,183,149,153,156,160,162,166,169,174,172,172,173,157,129,106,116,86,109,181,184,142,105,74,51,31,150,192,182,185,151,153,156,162,164,167,171,172,175,171,168,163,140,125,129,93,88,179,164,125,86,61,44,46,177,189,186,187,151,154,158,162,164,169,170,170,173,172,164,159,146,124,129,102,80,168,146,105,73,52,35,71,195,186,188,188,151,155,157,161,164,166,169,170,173,175,169,162,150,127,121,101,74,153,131,84,63,51,28,106,201,185,188,188,150,152,155,159,164,164,167,171,174,174,173,172,149,121,106,80,60,129,103,63,55,49,34,151,193,186,188,188,149,152,157,159,165,166,169,172,174,164,177,170,134,109,80,56,69,112,81,66,59,39,83,189,184,186,188,188,150,154,158,161,165,167,170,173,173,165,189,166,136,116,86,81,79,108,71,71,55,40,155,191,186,187,188,188,151,154,158,162,166,168,171,174,171,171,189,174,150,132,95,82,95,94,72,68,31,101,193,184,188,187,188,190
17,152,155,157,161,162,163,164,165,168,169,170,171,172,175,174,176,177,176,177,177,178,179,177,176,176,176,177,175,155,158,160,163,164,167,168,169,169,170,171,172,174,174,177,176,177,177,178,179,179,179,178,177,177,177,176,175,158,162,163,166,168,169,171,172,172,172,174,173,192,155,155,184,178,179,179,180,180,181,180,179,179,179,178,177,162,165,167,170,172,172,173,175,176,177,175,185,186,124,127,188,180,183,182,182,182,182,182,181,180,180,179,179,167,170,172,174,176,176,177,178,179,180,179,188,200,121,124,193,182,185,185,184,185,185,185,185,183,183,183,182,171,174,176,178,181,181,182,183,183,184,182,194,216,151,114,187,186,187,188,187,188,188,188,188,187,184,185,185,175,178,181,183,185,185,186,187,188,190,186,203,219,168,99,164,196,190,191,191,191,191,192,192,191,187,186,187,179,183,185,186,189,189,190,191,193,194,189,211,212,183,120,138,203,192,194,194,195,195,195,195,193,191,190,190,183,186,189,192,193,193,194,195,196,198,191,222,192,200,142,117,200,199,198,199,199,199,198,197,196,195,194,194,187,190,193,195,196,197,198,199,199,200,200,226,173,212,155,110,193,205,202,204,203,202,201,201,200,199,197,197,190,193,195,200,201,201,202,202,202,201,197,230,184,225,186,116,180,211,205,206,206,206,205,204,203,202,200,200,193,196,199,202,202,203,205,206,208,212,182,156,159,216,199,127,164,216,207,209,209,209,208,206,205,205,204,203,197,199,202,204,205,206,207,206,220,231,198,147,105,173,197,132,149,219,208,213,213,213,211,209,208,207,207,206,199,201,204,206,207,208,210,210,216,189,187,186,160,141,151,128,135,222,212,214,215,214,213,213,211,211,208,208,200,204,206,209,211,211,212,214,220,165,171,201,213,182,112,103,124,219,215,217,217,217,217,216,214,212,211,212,203,207,209,213,213,213,211,218,240,224,163,174,198,165,103,91,105,208,221,219,219,219,219,218,218,216,214,214,205,209,212,214,215,214,220,209,167,239,184,117,180,171,114,92,88,186,229,220,221,222,221,220,219,219,218,215,206,210,214,215,216,217,229,195,128,164,193,86,136,204,130,93,79,174,234,222,224,223,223,223,222,221,220,219,209,214,216,217,218,221,232,208,157,117,177,124,127,225,151,105,75,169,238,222,226,225,225,223,222,222,221,220,212,215,218,220,220,225,222,165,127,98,155,150,157,234,172,126,77,172,239,225,227,227,227,226,224,224,223,223,214,216,219,222,221,228,214,180,141,134,131,169,208,217,177,140,85,184,238,226,228,229,227,227,228,227,225,224,215,218,221,224,222,233,229,173,159,152,156,244,225,187,158,133,90,207,236,229,231,230,228,228,228,228,227,226,217,220,222,225,226,247,214,187,178,137,189,243,192,174,150,114,100,224,234,232,232,232,232,231,229,228,227,227,219,221,223,225,228,249,227,210,154,150,203,223,178,172,149,101,107,235,235,235,235,234,233,233,231,231,229,228,219,222,225,226,230,244,242,183,178,149,231,223,176,168,137,94,122,242,235,236,236,235,235,234,233,233,231,229,221,223,226,228,229,230,229,191,183,163,247,217,173,152,124,87,139,246,235,237,237,236,236,235,233,233,232,231,220,224,226,228,227,221,218,204,172,169,242,201,155,129,111,81,170,248,236,240,238,237,236,236,235,234,234,234,221,226,227,228,232,219,200,203,174,172,224,184,142,114,99,92,217,244,238,240,239,239,239,238,236,236,235,235
20,141,144,149,153,158,160,163,166,167,169,170,172,173,173,176,176,178,173,177,175,175,174,174,173,173,172,171,170,142,147,151,156,159,162,164,168,169,172,173,174,175,177,177,176,211,144,156,175,177,177,176,175,175,175,173,173,145,149,153,159,162,165,167,171,172,174,175,177,179,181,180,179,226,134,155,161,146,186,178,179,179,177,175,175,147,151,154,160,165,166,169,173,173,175,177,180,181,181,181,183,223,139,179,178,117,188,182,182,181,181,180,178,148,153,156,161,167,168,172,175,176,177,180,182,183,184,182,186,232,159,176,199,114,183,185,184,184,182,181,180,150,155,159,163,168,170,173,177,179,180,182,184,186,188,183,192,236,158,181,218,124,177,189,188,187,186,184,183,152,157,161,165,169,172,176,179,181,183,184,184,185,185,184,204,224,152,197,213,124,173,193,190,189,188,186,184,155,160,164,167,172,175,178,181,183,184,188,189,189,204,188,204,228,150,204,208,117,174,196,191,191,190,188,187,156,162,166,170,174,176,180,182,185,187,189,182,212,249,218,145,173,150,204,204,120,180,197,194,193,192,190,189,158,164,169,173,176,179,182,184,187,189,194,220,212,194,204,150,98,108,179,182,123,186,199,196,194,193,192,190,160,165,170,173,178,181,185,187,190,185,220,245,228,160,179,185,174,136,122,147,117,191,200,198,196,195,195,193,163,167,171,175,180,184,187,188,191,190,227,182,173,210,135,188,219,174,99,105,110,197,199,199,198,197,196,196,164,169,173,177,181,185,188,189,193,190,228,168,96,113,77,112,208,190,125,90,99,196,202,201,201,198,199,198,165,170,174,179,183,187,190,192,195,196,224,176,158,117,93,83,170,230,164,95,92,197,205,203,202,201,200,200,167,172,176,181,185,188,191,194,196,199,239,218,162,123,113,116,141,246,199,119,82,194,208,205,204,203,202,202,169,172,177,182,186,189,193,196,197,202,242,200,141,120,125,141,170,249,220,147,86,185,212,206,206,204,204,203,171,174,178,184,188,190,195,197,197,202,241,205,157,141,145,155,214,249,217,164,95,183,212,206,207,206,205,205,173,176,180,185,190,193,196,199,201,204,246,220,175,151,163,183,247,247,204,161,99,181,217,210,209,208,207,206,173,178,182,187,191,195,196,201,203,206,246,231,192,157,177,208,249,242,199,154,102,182,220,211,210,209,209,209,173,177,182,186,189,193,197,201,203,203,243,239,197,175,178,229,248,225,194,148,96,178,221,210,210,210,210,210,173,178,183,187,189,194,197,201,203,202,239,242,203,199,184,233,245,211,185,141,89,175,223,212,211,208,208,208,174,180,184,188,191,196,199,202,204,202,228,246,215,216,199,216,232,198,175,138,80,176,223,212,213,211,209,208,174,180,183,188,193,197,200,202,206,205,217,244,225,220,206,190,210,175,167,126,78,184,222,214,214,213,212,211,175,181,185,190,194,197,199,204,206,207,212,243,236,214,184,166,182,161,166,121,84,208,219,215,216,212,217,216,177,182,187,191,194,197,200,203,210,220,212,242,227,192,153,141,169,160,158,96,116,226,216,218,217,224,204,132,172,178,185,191,195,200,204,213,193,93,67,231,211,171,141,133,180,155,140,70,166,241,223,225,228,202,113,82,125,127,130,133,135,141,142,149,137,60,0,179,226,182,140,149,198,130,104,49,39,154,187,184,180,106,71,72,89,86,90,93,95,92,91,93,110,117,71,104,194,169,145,167,188,100,77,22,7,65,95,102,112,86,59,47
2,121,130,136,139,143,147,151,156,159,161,164,168,173,176,176,175,178,175,173,178,180,181,182,182,183,183,184,184,123,131,137,140,145,149,153,157,161,164,171,181,188,185,174,170,170,152,140,162,168,169,179,182,182,183,183,183,123,131,138,142,147,152,155,161,175,184,184,174,158,141,120,116,123,107,93,114,121,123,163,182,182,182,182,182,125,133,139,143,149,154,161,179,201,189,152,122,105,97,85,81,83,80,81,89,91,107,160,182,182,182,182,181,127,135,141,145,151,158,181,203,186,141,96,75,74,72,70,71,71,75,94,109,124,153,178,183,182,182,181,181,130,137,143,148,154,169,206,194,134,92,70,60,66,63,62,68,85,114,151,169,176,183,185,184,184,184,183,182,132,139,145,150,157,180,213,170,102,72,63,64,67,63,67,85,141,175,185,188,188,188,188,187,186,182,184,184,135,142,147,153,160,190,211,153,92,66,59,63,63,65,73,114,179,193,192,192,193,193,192,191,188,172,180,187,138,145,150,155,165,202,205,136,82,63,60,58,57,64,83,150,194,198,197,196,197,197,195,196,184,155,179,192,141,148,152,158,172,214,201,134,90,74,68,61,62,69,111,184,201,201,201,201,201,200,200,198,165,144,185,196,145,151,155,161,184,226,201,140,100,81,70,66,72,80,140,199,204,205,205,204,204,201,198,186,143,148,196,201,148,153,158,166,200,234,199,141,99,81,68,67,73,84,160,206,208,208,209,208,206,196,188,169,124,150,201,205,151,156,160,171,209,235,195,137,97,79,67,65,69,86,162,208,210,211,212,211,204,190,182,152,112,148,204,208,153,158,163,173,210,234,192,135,97,78,66,64,72,87,135,185,197,204,211,209,197,191,180,141,115,167,209,212,155,160,165,174,209,234,193,140,102,80,67,67,82,97,108,133,151,161,177,185,189,190,172,135,146,200,214,215,158,162,168,176,211,233,193,144,107,83,69,74,94,107,112,128,144,150,150,165,184,178,150,139,190,217,218,218,160,164,170,180,218,233,194,149,113,87,71,80,100,107,117,136,152,159,156,155,167,155,133,173,216,222,222,221,163,167,173,184,221,231,194,153,120,92,75,85,103,113,132,149,157,153,147,138,135,127,152,210,224,225,224,224,166,169,176,186,221,227,193,157,127,97,80,89,108,125,146,154,151,141,128,118,109,124,193,226,227,227,227,226,168,172,178,189,220,221,191,162,134,101,85,93,111,130,144,148,140,128,114,105,117,173,222,230,229,229,229,228,171,174,180,190,214,213,189,169,141,107,94,96,112,129,137,139,131,117,110,132,184,223,232,233,232,232,232,231,173,176,183,190,210,209,193,175,145,113,101,99,113,127,132,131,122,112,140,200,230,235,235,235,234,234,234,234,176,179,185,193,211,210,196,175,144,118,106,101,115,123,123,120,112,133,199,233,236,236,236,236,236,236,235,236,178,182,188,199,218,213,196,171,142,122,110,102,112,115,110,111,136,194,232,238,238,238,237,237,237,237,237,237,181,184,191,205,226,217,199,172,142,121,109,101,106,106,106,148,204,234,239,240,240,240,240,239,239,239,238,238,182,186,193,210,227,217,202,170,137,116,105,100,102,104,146,212,237,240,241,242,242,242,241,241,240,235,222,205,184,187,195,211,221,210,193,161,125,107,101,100,99,129,203,236,242,242,243,243,243,242,240,232,211,175,135,105,185,189,196,209,212,204,190,158,120,105,103,103,103,162,227,241,243,244,244,244,243,242,222,176,128,91,69,60
1,165,168,170,171,173,174,175,176,177,177,177,178,178,177,177,178,177,179,179,178,177,178,178,178,178,178,177,177,168,170,173,174,175,177,177,178,179,179,179,180,181,182,167,152,179,180,180,180,179,179,180,180,181,180,178,178,171,173,175,177,178,179,179,179,181,181,181,182,174,183,172,111,174,184,181,181,181,181,182,182,183,182,181,180,174,175,177,179,180,181,181,181,183,185,184,195,164,151,175,104,150,164,179,184,185,185,185,185,185,184,183,183,175,177,179,181,182,184,184,184,185,186,185,199,161,144,177,110,121,131,145,188,186,187,186,187,187,186,185,185,177,179,181,183,184,185,186,187,187,187,187,200,164,145,189,132,120,144,115,186,189,188,188,189,188,188,187,187,179,181,183,185,186,187,188,188,189,187,171,199,175,137,192,147,119,153,111,173,191,191,191,190,189,189,189,188,181,183,185,187,187,188,190,191,192,192,142,173,185,131,183,155,127,171,130,154,193,193,193,193,193,192,191,190,183,185,186,188,189,191,192,192,195,195,133,164,185,130,173,163,135,186,154,134,193,195,195,195,194,194,193,192,184,186,188,189,192,193,195,194,198,200,137,166,186,135,175,173,136,173,173,127,182,198,197,196,195,195,194,194,186,188,190,191,193,194,197,196,200,201,140,174,201,147,164,184,135,156,184,135,162,201,198,198,198,197,197,196,187,188,190,192,194,196,198,197,201,194,140,166,202,142,136,180,130,153,194,147,141,201,199,200,199,199,198,197,188,190,192,194,195,197,198,199,204,195,150,137,192,123,126,171,131,142,190,157,127,197,202,201,201,200,200,198,188,191,193,195,196,197,199,199,209,196,145,116,182,169,154,153,166,172,157,141,119,187,204,202,202,201,201,200,190,192,194,196,198,198,200,200,209,190,149,145,150,192,165,167,188,167,141,138,112,162,206,203,203,203,203,201,192,193,195,197,199,199,200,202,207,191,179,169,129,173,182,204,196,179,142,131,116,125,205,206,205,205,204,202,192,194,196,198,199,200,201,203,207,186,171,159,133,172,202,202,181,201,185,147,115,103,194,208,206,206,206,205,191,194,196,199,199,200,201,205,213,182,156,150,168,180,176,161,144,208,216,192,146,98,173,210,207,207,207,206,191,193,195,198,199,199,200,206,221,189,149,147,142,139,134,131,159,198,212,195,163,123,157,212,208,208,207,206,191,193,194,196,198,199,200,206,229,202,149,144,145,144,160,186,211,202,195,180,144,116,141,210,208,207,207,206,192,194,196,197,199,199,200,205,228,217,160,149,163,165,205,221,220,209,190,168,133,94,137,210,208,207,207,207,193,194,197,199,200,200,201,205,228,229,178,160,175,167,206,227,226,213,185,157,125,88,133,211,208,207,207,207,191,193,196,199,200,201,202,203,224,231,193,173,189,166,204,232,231,212,178,147,116,88,149,212,209,209,208,208,193,194,196,199,201,202,202,201,217,229,206,188,198,168,192,232,230,202,170,139,108,92,177,212,210,210,209,209,194,195,197,200,201,202,203,202,209,225,217,201,194,177,175,229,224,194,163,131,100,98,198,212,212,212,209,209,158,162,166,172,174,176,180,182,187,219,226,212,190,176,158,217,214,184,152,122,97,112,206,212,213,213,210,211,98,101,104,105,106,108,111,112,117,201,222,204,183,168,152,194,198,171,140,116,99,110,156,162,165,172,192,212,97,99,100,101,102,102,102,103,100,178,212,193,178,166,153,177,186,165,132,114,103,98,101,103,126,173,195,204
15,110,122,130,138,143,145,148,154,159,163,167,172,175,179,181,185,187,189,192,193,194,196,196,199,199,199,201,200,113,123,131,139,145,147,149,156,161,165,169,173,176,179,184,187,190,193,194,194,196,198,198,200,200,201,203,203,114,124,133,141,148,150,152,158,164,167,171,174,178,181,185,189,191,194,194,196,197,199,200,200,200,201,203,204,115,126,134,142,147,149,152,160,165,168,173,177,180,184,187,190,192,195,197,198,199,201,202,201,202,205,204,205,117,127,137,144,148,149,153,161,166,170,175,179,180,185,188,191,195,197,199,200,201,203,204,204,206,207,207,207,118,128,138,146,150,151,156,162,169,173,177,179,183,186,190,193,195,198,199,200,202,203,205,207,208,208,209,209,119,129,139,146,148,153,157,164,169,174,177,182,185,189,191,193,197,200,201,202,204,206,208,209,209,209,210,211,119,130,139,151,206,184,169,167,169,176,179,184,187,193,193,196,200,201,203,205,206,207,209,210,211,211,211,212,121,134,137,164,232,193,181,179,173,183,183,181,180,184,193,200,201,203,206,206,207,208,209,211,212,213,214,214,123,134,142,150,181,180,172,166,166,188,186,182,175,162,174,185,190,198,205,206,211,214,213,213,215,215,216,216,123,134,144,152,155,158,156,149,155,171,173,175,174,176,183,174,178,183,194,195,186,196,212,218,214,217,217,217,126,137,146,153,158,161,165,171,173,174,170,162,161,172,176,170,166,163,185,196,185,171,162,199,225,217,219,220,127,138,147,153,159,162,166,174,179,184,187,185,181,178,171,160,151,161,183,193,202,170,162,148,190,226,220,222,127,138,148,155,161,163,168,174,179,185,189,193,197,199,198,190,182,194,192,187,193,186,172,178,146,181,229,220,129,140,151,156,163,165,168,175,180,186,190,195,197,203,201,212,239,216,186,146,192,191,169,191,173,137,187,234,131,141,151,158,163,164,169,176,181,187,192,195,217,191,168,185,214,208,168,113,184,191,174,191,188,165,128,189,131,143,152,159,165,165,170,177,183,189,192,202,224,187,156,191,232,220,166,145,168,178,186,187,179,164,139,123,133,144,153,161,166,167,172,178,184,190,194,202,201,165,159,199,233,213,160,155,156,154,170,176,154,154,146,132,133,145,155,163,166,169,173,179,185,192,196,197,207,206,170,192,218,191,166,165,167,164,170,172,144,137,146,142,134,145,156,163,164,168,174,180,187,192,197,197,211,255,216,139,123,126,141,171,178,174,181,177,152,144,146,143,135,147,157,163,166,169,175,182,188,192,199,201,205,253,229,158,80,53,45,67,126,174,176,173,160,160,149,135,135,147,158,165,167,169,176,182,188,194,200,202,204,253,227,152,100,91,65,37,41,136,163,155,145,129,110,93,136,147,158,165,167,169,177,184,189,195,200,205,202,247,227,129,135,137,123,88,62,71,111,99,85,70,66,58,137,149,159,165,167,169,177,185,191,197,200,206,202,240,240,140,171,167,155,150,119,79,72,69,67,63,64,62,136,149,159,166,168,171,177,184,191,195,200,206,203,230,254,150,163,179,163,139,98,75,73,71,73,65,65,62,136,149,159,165,166,169,176,184,191,195,200,203,205,214,255,156,159,231,203,125,84,69,72,72,71,66,65,63,138,149,159,165,167,171,178,186,191,197,200,206,207,216,238,133,177,237,213,117,76,70,72,71,69,65,67,66,139,151,160,166,168,172,179,186,192,197,201,206,207,218,190,159,223,225,226,120,86,78,76,68,66,67,68,68
7,163,165,167,168,170,171,172,173,174,174,174,175,175,176,176,175,174,175,175,174,175,174,173,172,171,170,168,168,166,167,169,170,172,172,174,176,176,175,176,176,177,177,177,177,176,176,176,176,176,177,175,174,173,171,170,169,167,170,171,171,173,174,176,177,177,177,177,177,177,177,177,178,178,178,177,177,177,178,177,176,175,173,172,171,168,170,172,173,175,176,176,177,179,178,179,179,179,179,179,180,179,180,180,179,178,179,178,177,177,175,174,173,170,171,172,174,176,177,178,179,180,180,180,181,181,182,182,182,182,181,181,181,181,180,180,179,177,176,175,175,170,172,175,176,177,179,180,180,181,182,182,182,182,183,182,182,183,182,183,182,183,182,181,179,179,178,177,176,171,174,177,178,179,180,181,181,183,183,183,184,184,184,183,183,183,184,184,184,184,183,182,181,180,180,179,178,173,176,178,179,181,181,182,183,184,184,185,184,184,186,186,185,186,186,186,186,185,184,183,183,182,182,181,179,176,177,179,180,182,183,184,185,186,185,187,188,186,186,187,188,187,187,187,187,186,185,184,184,183,182,182,181,176,177,180,182,184,185,184,185,188,189,181,185,187,187,187,188,188,189,189,188,187,187,184,184,186,184,183,182,176,179,181,182,183,185,188,193,198,194,166,153,170,181,180,179,182,185,180,183,178,183,173,203,190,179,185,183,177,180,181,185,189,195,196,197,198,197,185,145,147,164,171,170,169,162,164,167,166,171,161,168,156,182,187,185,178,184,192,197,198,197,194,191,185,184,173,144,136,146,160,168,169,170,165,158,162,163,153,159,155,178,187,183,195,199,198,198,193,189,184,175,172,183,185,152,131,128,131,141,150,155,147,152,157,159,155,166,161,167,164,173,204,198,194,188,182,179,176,177,180,187,185,155,135,140,140,134,126,115,142,148,146,146,143,145,152,152,159,185,201,195,187,178,172,169,170,171,177,183,167,143,129,133,146,151,143,127,152,201,193,189,189,190,188,190,193,191,197,193,187,178,170,170,171,166,167,178,176,147,120,119,131,135,138,128,139,200,194,195,195,194,194,193,192,191,195,192,189,182,176,174,175,175,173,183,184,154,136,141,141,134,132,111,182,201,195,197,195,195,194,193,193,192,190,186,185,183,181,178,175,174,173,177,177,155,143,150,148,143,129,150,205,196,197,196,196,195,195,195,194,192,179,178,180,182,183,179,174,171,171,165,150,141,126,123,130,136,118,189,198,198,198,196,196,196,195,194,194,197,117,128,151,176,181,172,164,155,146,137,134,132,89,85,104,119,140,203,198,199,198,197,195,195,197,200,197,149,58,60,71,97,133,147,137,144,151,171,190,200,131,102,125,144,191,201,200,200,199,198,198,202,188,172,146,104,58,54,51,50,51,78,178,196,201,203,200,203,193,173,192,202,202,200,201,200,199,202,202,166,122,108,96,89,53,50,48,50,34,95,212,195,198,198,199,200,201,204,201,199,200,200,200,199,202,187,128,97,103,101,93,86,49,47,43,44,30,87,211,196,200,200,201,201,201,200,201,201,201,200,199,204,205,132,90,73,85,89,83,82,46,46,46,48,23,82,207,191,197,198,200,200,201,201,202,203,204,204,206,192,128,111,97,70,65,81,78,75,53,53,50,41,20,58,135,129,131,135,136,139,141,144,144,146,148,146,155,134,79,102,95,63,59,68,71,70,61,56,44,27,23,53,112,107,107,108,109,109,109,110,112,110,110,113,126,113,71,95,91,60,55,63,65,67
4,125,138,149,154,159,163,166,169,170,173,175,178,179,181,183,184,187,186,188,190,189,190,192,191,191,192,192,192,126,140,151,156,161,164,167,169,172,174,178,178,181,183,183,186,185,189,190,192,194,193,192,193,194,194,194,194,128,142,151,156,161,165,168,171,173,175,176,178,174,178,190,192,168,159,188,183,180,195,194,194,195,195,196,195,129,144,152,158,162,165,170,173,174,171,185,208,179,162,190,206,166,123,156,176,129,151,199,195,196,196,197,197,131,145,153,159,163,166,170,173,179,185,166,184,208,163,152,195,154,118,120,158,134,110,187,201,197,198,199,198,132,147,155,160,164,167,172,171,202,199,175,150,164,156,128,163,143,111,122,160,134,102,182,203,198,199,200,200,134,148,155,160,164,168,168,184,212,206,188,165,122,126,122,179,156,100,158,164,119,103,196,201,199,200,201,201,136,149,156,161,165,169,168,199,186,179,183,145,116,108,120,187,154,141,181,145,97,120,206,201,200,202,203,202,138,150,157,162,166,170,170,209,172,167,173,120,106,114,98,137,162,193,176,159,119,139,212,200,202,203,203,203,141,151,157,162,166,169,177,214,182,182,163,124,94,137,150,164,178,177,160,167,149,141,204,203,203,204,204,204,142,152,156,163,169,168,188,208,169,157,152,129,83,162,179,165,165,147,161,182,166,143,155,209,202,207,206,206,144,152,157,165,169,166,197,200,164,143,131,105,85,101,136,138,133,106,160,188,182,169,130,171,212,205,208,208,144,154,158,165,170,170,216,203,172,153,136,117,98,92,98,103,125,161,164,181,190,173,147,123,196,210,208,208,147,154,158,165,168,176,226,197,175,163,136,118,108,118,143,166,195,206,192,183,172,166,157,124,161,216,207,209,149,154,159,167,167,185,231,202,190,166,135,130,118,149,189,204,210,205,188,176,156,145,149,122,168,216,208,210,150,154,159,167,164,196,231,206,187,156,140,138,130,182,205,210,212,209,185,165,145,131,128,132,203,210,211,211,150,154,160,169,165,200,230,202,177,155,153,141,153,198,203,209,211,198,174,156,139,127,116,178,216,210,211,211,151,154,160,169,165,202,227,197,180,171,167,154,175,198,202,205,201,182,164,146,134,116,141,215,211,212,213,213,152,155,161,167,167,200,221,201,195,188,173,168,191,196,201,195,183,172,152,139,127,117,198,216,212,213,214,215,151,155,162,168,168,190,221,209,203,187,171,167,185,191,189,179,167,158,142,133,115,165,219,211,212,214,215,215,152,156,163,169,170,182,218,204,197,185,167,154,168,177,177,169,156,146,136,119,135,213,212,213,213,214,214,215,152,158,164,169,173,179,215,197,186,176,161,154,163,173,171,158,143,137,125,117,194,216,212,214,215,216,215,216,152,158,164,169,173,176,208,187,176,168,156,162,159,167,169,153,140,131,109,170,218,211,214,214,215,216,216,217,153,158,165,170,172,184,209,188,178,173,174,177,158,153,159,143,133,116,137,213,212,214,215,216,217,217,217,217,153,158,166,169,176,217,193,184,186,178,176,168,153,145,149,137,128,111,187,216,212,215,216,216,217,217,217,217,154,159,166,166,207,216,212,151,162,185,170,159,149,138,138,132,123,110,201,214,213,215,215,216,216,218,217,219,153,161,162,183,223,208,214,201,119,153,160,150,144,128,131,127,117,111,205,213,213,215,216,217,217,218,219,219,154,160,164,214,211,210,209,218,180,106,135,145,134,117,125,122,115,110,204,215,214,215,217,218,218,219,219,220
2,196,195,196,196,196,197,197,196,195,194,194,195,195,195,192,193,192,191,190,190,190,190,192,128,88,92,89,91,198,197,198,198,198,199,199,199,197,198,198,199,196,196,197,192,197,196,196,193,194,191,197,155,91,96,85,94,201,200,202,201,201,202,200,201,201,202,201,200,200,204,194,141,146,183,172,199,197,194,198,173,95,82,70,91,203,203,204,205,204,205,205,204,204,201,204,206,206,178,137,114,95,127,110,169,199,196,197,187,109,68,75,100,206,206,207,208,207,207,208,208,205,212,219,210,143,110,98,94,92,103,97,94,174,205,196,204,131,54,65,90,209,209,210,209,209,209,208,208,209,222,211,158,100,91,89,84,81,88,97,86,169,208,198,206,156,135,108,75,211,211,212,213,212,212,211,207,217,229,155,102,86,80,88,84,76,82,82,106,195,207,202,205,183,143,192,174,214,213,213,213,214,214,213,206,229,212,128,94,85,78,81,86,93,120,156,194,209,207,205,214,162,144,223,197,215,216,216,214,215,216,213,215,233,180,118,92,99,89,91,96,168,215,215,213,208,208,206,215,171,172,215,147,217,217,217,217,217,217,214,230,217,160,106,87,96,89,113,188,218,212,211,213,212,211,209,210,201,185,146,143,218,219,218,219,220,217,219,239,208,156,117,100,89,90,169,230,213,215,214,215,214,213,211,210,211,202,151,204,221,220,220,220,222,217,232,243,196,146,116,111,96,91,191,224,217,216,217,216,215,214,213,214,211,207,201,188,222,222,221,222,222,218,245,233,183,133,110,108,100,114,219,221,220,219,217,217,216,215,215,215,215,209,208,213,222,222,222,224,218,222,250,218,177,132,106,101,98,142,230,220,221,220,219,218,218,218,218,217,215,214,207,189,225,224,224,224,213,238,244,207,166,127,107,103,97,147,232,220,222,221,221,221,220,217,218,218,217,215,220,181,227,226,227,221,222,250,230,195,155,120,107,107,91,173,235,220,222,222,222,222,222,222,222,220,222,220,217,216,226,225,228,214,233,251,221,185,145,118,102,97,89,146,234,224,224,223,225,227,222,207,196,187,183,204,221,216,227,227,228,215,247,243,213,176,139,117,95,92,104,98,153,237,232,229,216,196,180,184,180,170,152,122,202,222,227,231,218,229,251,236,203,164,133,115,85,93,106,112,103,169,201,181,172,182,184,181,162,143,153,153,205,223,230,227,216,248,246,229,190,155,127,107,82,109,116,125,129,122,132,158,184,187,168,132,132,188,223,228,224,221,233,221,237,252,241,218,182,151,123,105,91,121,131,137,136,137,144,162,162,141,130,140,211,233,225,223,223,223,221,232,249,241,233,211,174,138,118,106,103,128,139,140,139,132,133,128,130,169,210,229,229,226,226,226,225,223,220,239,243,236,228,199,160,128,117,106,118,137,143,139,129,118,108,152,218,236,233,228,227,228,227,227,227,226,232,237,236,222,202,171,140,122,116,109,125,135,139,126,112,136,189,236,238,231,230,230,230,230,227,226,225,226,230,230,219,199,178,156,131,120,113,116,124,132,128,105,158,233,239,233,233,233,231,231,232,229,229,228,227,226,228,220,198,175,167,142,124,119,119,121,119,113,117,175,239,237,234,235,235,235,234,233,232,231,231,230,229,228,222,211,180,149,139,119,117,122,120,116,114,156,216,243,235,236,236,236,236,235,235,235,234,234,233,231,231,224,216,199,164,132,113,111,118,121,112,152,206,243,243,235,238,237,236,237,236,235,235,235,235,235,234,232,233,203
2,211,211,210,210,211,211,211,210,209,208,208,208,208,206,205,204,203,202,204,202,201,200,199,200,198,196,194,194,212,212,212,213,212,212,212,212,212,211,210,210,210,209,208,208,206,204,205,204,203,201,200,200,199,197,196,196,213,213,214,214,214,213,213,212,213,213,212,212,212,211,209,203,201,204,204,207,208,206,203,200,200,198,197,197,214,215,216,216,215,215,215,214,215,215,213,214,211,216,216,200,191,192,187,184,189,198,209,202,202,200,199,199,216,217,217,217,217,217,218,217,217,216,215,212,225,230,216,207,202,192,185,167,158,135,155,211,203,202,202,199,217,218,217,216,218,219,218,217,217,217,215,225,235,229,224,223,223,202,190,188,156,151,118,172,207,205,201,200,218,219,219,218,219,219,219,219,219,216,222,233,232,236,169,149,180,142,135,189,182,171,148,129,138,187,205,201,221,221,221,220,220,220,220,221,219,217,230,234,219,195,135,93,99,98,97,129,153,137,108,107,99,181,210,201,222,223,222,223,224,223,222,220,223,233,246,197,142,122,106,96,93,100,196,184,193,171,133,117,152,210,205,204,224,225,225,224,224,225,223,225,242,249,232,179,133,105,86,88,89,153,225,217,218,218,213,205,211,208,207,206,224,226,227,226,225,226,223,238,249,243,210,169,139,118,102,86,141,216,214,215,215,212,213,214,211,209,207,207,227,227,227,227,227,219,234,250,243,212,165,135,123,108,93,145,228,217,218,218,215,214,213,214,213,210,208,206,229,229,229,229,222,234,255,249,229,208,158,103,99,104,97,202,224,218,219,218,218,216,214,214,213,210,210,207,230,230,231,223,235,255,255,234,213,209,158,118,102,90,140,229,220,221,221,220,220,219,217,214,214,213,211,209,231,233,226,235,255,255,239,223,225,184,140,115,94,82,205,230,223,221,222,222,220,218,217,216,216,215,210,210,235,232,230,255,255,251,231,234,209,164,138,102,93,83,183,237,222,223,224,222,222,220,223,219,206,209,217,211,235,229,255,255,255,244,230,219,189,158,125,85,90,91,105,214,228,225,224,222,222,225,204,179,175,157,190,217,230,247,255,255,251,235,222,211,183,140,105,86,94,96,89,141,238,222,228,230,228,184,157,177,184,130,169,220,240,255,255,252,238,230,213,198,165,122,99,99,108,109,105,102,202,239,217,180,146,147,171,179,133,162,218,212,255,255,255,245,229,215,202,184,143,118,102,114,123,123,120,106,113,163,130,132,123,147,169,129,140,227,217,215,167,243,255,235,224,205,194,169,141,118,109,125,128,127,120,115,106,115,119,139,148,145,135,91,204,222,218,218,94,119,192,208,201,195,180,167,136,108,112,130,125,124,120,116,113,126,134,138,141,121,90,133,228,219,219,218,104,95,94,142,162,151,145,125,103,102,108,122,120,119,115,115,119,125,127,118,108,127,175,220,225,222,220,219,93,100,94,90,102,105,97,85,91,96,97,110,115,113,102,101,95,95,113,154,195,227,235,227,226,225,222,221,94,92,91,97,92,69,75,82,79,80,85,94,88,83,106,127,136,173,220,238,237,232,228,227,226,224,223,221,93,88,90,86,98,74,50,64,62,61,77,91,116,169,221,239,241,242,236,232,231,231,229,228,227,225,224,222,91,88,87,84,96,90,47,52,58,48,95,218,248,248,243,239,236,235,235,235,234,234,232,230,228,226,225,223,86,84,82,80,88,91,48,48,53,51,45,88,225,243,238,241,240,239,238,237,236,234,234,232,229,228,226,224
0,207,205,206,206,208,207,206,208,208,208,211,212,207,209,209,209,210,207,208,210,207,207,207,209,208,206,206,206,208,207,208,207,209,210,210,210,210,211,211,211,212,209,207,208,209,206,210,211,207,210,209,210,209,208,208,208,207,209,210,209,209,212,211,209,212,214,210,211,215,213,209,210,211,209,210,210,209,210,209,210,210,208,207,207,211,211,211,211,212,212,210,210,203,193,211,209,207,212,212,205,206,217,215,214,215,210,208,211,211,210,209,209,212,210,211,213,213,212,208,222,202,127,116,175,172,153,183,193,170,154,201,200,198,215,215,210,212,212,210,210,212,211,211,213,212,214,212,217,210,122,38,135,179,104,88,182,162,84,85,153,118,115,164,216,211,210,210,211,213,212,212,212,209,212,206,175,202,141,70,103,163,94,56,152,133,73,56,143,112,56,69,148,220,210,212,211,214,213,214,214,209,205,193,150,167,180,105,62,137,94,46,135,126,56,64,150,106,51,82,107,157,226,209,212,214,215,215,215,211,205,192,159,124,149,110,40,120,90,27,122,149,62,62,159,124,57,97,146,86,183,221,209,216,215,215,215,214,205,187,155,115,98,77,56,113,73,17,134,142,48,82,170,147,121,113,121,87,98,230,210,215,216,216,217,213,204,194,178,145,94,77,72,84,63,35,111,108,93,163,165,152,137,107,81,64,93,225,211,217,218,218,219,214,209,200,190,173,130,81,68,61,82,94,97,137,177,182,172,155,123,105,85,51,121,230,211,218,217,218,221,215,211,207,194,185,168,112,71,73,90,97,139,186,191,189,180,157,117,94,83,47,154,232,213,218,218,219,220,215,210,217,203,197,188,148,107,107,93,115,171,189,199,205,183,149,113,90,76,55,199,225,216,218,220,220,220,217,198,221,215,210,202,177,150,142,118,124,170,184,201,210,184,141,107,89,60,104,230,218,218,220,221,221,221,222,189,210,223,221,209,190,172,161,148,136,163,190,204,197,175,129,99,91,58,176,229,219,218,221,221,221,221,228,192,193,224,225,214,200,184,171,160,152,150,178,202,187,164,119,95,78,78,220,220,220,220,221,221,220,221,226,209,171,214,225,224,208,195,182,171,152,145,160,181,171,141,109,94,58,118,235,218,220,221,222,221,221,221,222,227,172,192,224,226,207,188,182,170,153,144,152,166,155,119,97,87,51,187,228,220,222,221,221,221,223,224,220,228,198,174,226,222,193,179,182,164,158,145,133,145,141,105,90,54,113,231,222,219,223,222,222,222,224,225,222,226,213,187,221,222,198,192,198,173,161,140,120,123,130,103,71,69,207,226,222,223,224,224,222,223,224,226,224,226,218,194,225,228,209,198,209,179,158,139,116,109,118,102,53,160,233,223,225,226,226,226,222,223,225,226,224,227,220,182,221,228,217,204,203,176,154,135,119,104,114,89,63,209,228,226,227,226,226,226,222,221,223,223,224,228,220,176,220,226,218,201,192,173,150,135,123,101,108,78,85,224,220,228,227,227,227,227,222,220,221,221,224,227,217,193,218,226,217,203,188,172,155,134,124,102,100,67,106,241,221,227,227,227,227,227,222,222,221,223,223,226,208,207,219,214,213,198,186,171,154,133,122,99,93,63,127,241,221,225,225,227,227,227,224,224,222,224,225,225,205,203,214,210,211,188,177,167,154,132,115,91,86,59,152,229,220,225,224,225,225,225,224,223,222,224,226,226,202,197,211,215,211,185,165,158,151,133,110,84,79,58,181,227,223,225,225,226,226,226
24,177,179,180,180,181,182,183,183,183,184,184,185,185,185,185,184,184,184,184,184,183,182,181,175,117,51,35,27,180,181,182,183,184,185,185,186,186,186,187,187,187,186,187,187,186,187,186,186,186,185,184,178,115,42,40,42,182,183,184,185,186,187,188,188,188,189,189,189,189,189,189,189,189,189,189,189,188,187,186,185,136,52,49,55,183,185,186,187,188,189,190,190,191,192,191,192,192,192,192,192,193,192,192,191,190,189,188,188,169,75,51,50,185,186,187,189,190,191,192,192,193,194,193,194,194,194,194,194,195,194,193,193,192,192,191,189,186,118,50,39,187,188,190,191,192,193,194,195,194,195,194,195,195,195,196,196,196,197,196,195,195,194,194,192,192,159,58,33,188,190,192,192,193,194,195,195,196,197,196,196,197,198,198,198,199,199,198,197,197,195,195,195,193,186,81,36,189,191,193,194,195,197,196,197,198,199,198,198,199,199,200,199,200,201,199,199,200,198,197,196,195,195,139,120,190,192,194,194,174,190,199,199,199,199,199,200,200,200,201,201,201,201,201,201,200,200,199,198,197,196,152,163,192,194,195,194,150,155,200,199,200,200,201,200,201,201,202,202,202,203,202,202,202,201,200,200,199,198,164,184,194,195,197,194,156,120,189,201,201,201,201,201,202,203,202,203,204,204,203,204,203,203,201,201,200,199,187,169,194,196,198,198,173,118,151,203,203,202,203,203,203,204,204,205,205,208,192,184,201,203,203,202,202,201,198,164,195,197,199,200,189,148,119,185,205,204,204,205,203,195,201,206,181,199,188,139,168,207,205,203,200,191,172,157,196,199,200,201,199,177,129,137,197,205,204,207,207,175,175,204,151,145,194,141,140,206,205,203,201,175,134,117,196,199,200,200,201,192,162,137,157,201,204,209,219,194,165,179,162,131,191,153,141,206,205,206,202,150,114,125,195,197,199,199,200,199,183,158,143,172,200,207,218,217,174,147,178,138,177,164,146,204,200,210,181,121,153,195,195,197,199,200,201,201,195,177,164,177,183,189,188,216,187,136,160,150,170,176,133,170,185,198,149,132,195,201,196,197,200,201,201,202,203,198,198,193,171,159,153,183,194,142,122,155,166,185,124,128,181,173,128,176,203,201,195,198,200,201,201,202,204,206,213,190,164,143,124,137,184,149,105,162,161,192,142,147,175,144,139,202,203,202,195,198,201,202,203,204,205,206,212,211,187,150,128,136,161,159,113,158,163,145,158,171,163,120,162,206,204,203,148,152,154,158,162,166,169,172,178,214,216,192,147,131,151,165,136,142,179,149,198,172,148,122,190,205,203,202,100,101,101,104,104,103,105,106,106,192,227,220,194,143,144,175,173,163,192,201,192,152,133,113,140,145,154,173,103,102,103,104,103,103,104,104,101,158,225,216,215,174,146,156,207,224,228,211,173,139,119,114,137,164,185,203,104,102,103,102,103,105,104,105,104,122,202,211,220,200,161,147,176,223,221,193,161,125,122,187,207,207,208,212,103,102,102,101,102,104,104,105,106,106,154,215,224,208,170,149,156,203,204,176,150,113,143,189,191,203,203,202,101,102,103,102,102,103,103,104,106,104,114,197,208,188,157,141,148,175,181,157,126,110,178,185,166,176,189,193,100,101,102,102,103,104,103,103,104,105,103,169,197,167,156,149,150,163,167,143,109,117,176,193,154,144,168,187,101,101,101,101,103,106,102,102,103,104,102,150,201,184,178,167,159,163,164,134,101,123,172,190,161,134,160,177
4,132,136,139,142,146,149,155,158,159,161,166,167,168,171,174,174,174,175,175,177,179,179,178,178,178,178,177,177,134,138,140,144,147,152,157,160,161,163,166,168,172,172,174,178,180,176,179,180,179,181,181,180,181,181,179,178,135,141,141,145,149,154,158,159,164,166,168,176,170,182,168,130,158,186,175,179,185,182,182,183,183,182,181,181,137,141,143,147,151,155,159,162,164,170,160,153,176,211,183,131,104,167,156,115,163,190,182,185,185,183,183,183,139,142,145,149,153,157,161,161,177,206,168,146,147,208,188,164,126,109,160,108,91,181,188,187,188,187,186,186,141,143,144,149,154,159,165,156,200,239,201,181,126,168,205,165,142,85,146,133,88,139,197,185,188,188,187,187,142,144,145,150,156,160,162,160,190,218,232,202,152,126,212,176,141,79,139,140,92,130,200,188,190,190,190,189,142,145,148,153,158,158,176,186,172,169,187,213,155,92,162,184,123,74,130,139,84,127,201,188,190,190,190,190,143,146,149,153,160,153,207,227,206,191,149,128,125,77,101,139,94,73,110,118,76,140,201,189,192,191,190,190,143,146,149,154,161,155,214,209,205,198,146,80,83,79,65,105,76,46,77,74,65,163,199,191,195,193,192,192,144,146,150,154,161,160,204,142,137,157,113,73,64,94,50,90,97,115,145,85,56,182,197,191,194,194,193,194,146,148,150,156,161,164,196,123,68,115,122,79,63,85,87,111,163,200,179,115,73,146,203,197,193,197,195,194,147,150,151,156,163,163,196,145,113,95,131,96,94,139,149,162,188,196,150,109,99,84,126,189,201,196,197,196,148,150,152,158,164,162,195,165,137,99,91,74,97,169,140,156,165,151,117,103,107,103,88,95,163,203,196,198,148,152,154,159,165,163,191,180,126,90,75,63,55,110,111,114,110,103,90,100,105,106,106,91,82,188,201,197,150,152,155,161,167,163,190,191,139,115,96,81,62,51,77,97,103,93,77,85,103,114,105,100,86,169,205,196,151,152,155,161,167,164,186,205,169,123,102,86,74,67,92,141,147,142,134,112,108,129,107,97,102,187,204,198,150,153,156,162,167,167,183,204,169,135,126,102,87,77,117,176,191,192,183,156,131,122,107,95,136,204,200,201,150,153,156,163,167,168,181,207,172,161,145,109,93,86,126,196,203,196,178,149,127,106,99,102,181,206,201,202,152,153,157,163,167,169,178,201,176,171,146,103,96,95,126,198,191,180,167,143,118,104,95,125,206,203,204,202,153,153,158,163,167,172,175,196,178,163,136,99,102,102,128,184,172,164,157,135,109,104,99,161,212,203,204,204,153,153,157,163,169,174,175,193,180,159,129,102,113,111,143,173,162,159,144,120,104,105,112,192,207,203,205,206,152,154,159,165,170,173,177,187,186,157,125,118,136,121,145,161,155,147,122,106,103,102,149,209,204,206,207,205,153,153,158,165,170,173,178,183,183,156,136,141,140,124,122,139,133,123,105,100,101,115,193,207,207,207,207,205,153,154,159,165,170,174,179,182,187,167,145,141,130,114,101,108,107,101,99,107,101,152,213,208,209,208,208,206,153,154,160,165,170,175,180,181,188,184,144,123,114,102,99,101,100,101,103,109,89,162,216,207,209,208,207,208,154,156,162,166,171,176,180,183,185,189,147,107,95,94,96,105,103,102,103,104,78,141,218,206,208,210,209,209,155,157,161,166,171,175,180,185,184,183,162,117,106,109,110,111,107,100,101,99,83,122,215,206,207,210,211,210
13,251,252,253,253,253,253,253,254,253,253,253,255,255,255,255,255,255,255,255,255,254,255,254,254,254,251,249,251,252,253,253,253,253,254,255,255,253,255,255,255,253,254,250,250,255,255,255,255,254,254,255,255,254,253,251,252,253,254,254,254,255,255,255,254,255,255,254,255,255,255,251,204,196,238,235,255,255,255,255,255,255,255,253,252,253,254,255,255,255,255,255,255,255,255,254,255,255,255,255,214,154,124,165,171,255,255,255,255,255,255,253,254,254,255,255,255,255,255,255,255,254,255,255,243,247,255,255,229,166,106,142,111,216,255,254,255,255,255,255,255,254,254,255,255,255,255,255,255,255,215,240,239,209,236,255,247,182,113,160,169,190,255,255,255,255,255,255,255,253,255,255,255,255,255,253,255,255,203,206,242,247,255,247,253,218,115,160,158,179,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,203,163,215,249,240,200,153,101,90,165,245,255,255,255,255,255,255,255,254,255,255,255,255,255,218,193,255,255,239,156,82,185,244,208,176,150,117,144,255,255,255,255,255,255,255,255,254,255,255,248,255,255,195,131,162,255,255,200,82,71,145,185,221,237,203,125,186,255,255,255,255,255,255,255,254,255,253,255,255,254,187,159,107,247,255,205,149,70,70,99,253,255,249,200,122,224,255,255,255,255,255,255,255,253,255,255,243,238,204,190,101,180,255,220,196,102,82,74,187,255,255,222,163,132,255,255,255,255,255,255,255,255,255,245,195,229,222,199,130,86,255,255,223,157,67,115,209,255,255,223,192,130,206,255,255,255,255,255,254,255,255,255,210,212,240,196,182,99,114,255,244,207,131,160,255,255,246,210,192,133,200,255,255,255,255,255,253,255,255,255,230,192,216,227,222,170,58,144,255,247,231,185,255,253,223,178,154,116,223,255,255,255,255,255,255,255,255,255,252,221,181,209,232,202,173,73,214,249,230,250,255,234,210,170,126,114,252,255,255,255,255,255,246,246,255,255,255,240,219,202,207,206,226,142,249,255,255,255,249,224,197,162,118,144,255,255,255,255,255,255,148,143,255,255,255,254,232,227,229,204,168,196,255,255,255,255,242,220,187,148,113,168,251,244,249,249,252,254,128,103,224,255,255,255,246,232,239,239,199,191,255,255,255,255,223,202,177,136,121,128,135,140,139,140,140,141,134,119,168,255,255,255,255,249,240,237,224,177,214,255,255,251,220,183,156,130,119,130,121,112,113,128,166,201,132,131,125,253,255,255,255,255,250,237,220,199,178,253,255,231,207,171,143,126,115,132,155,183,220,251,255,255,130,136,121,175,255,255,255,255,255,238,217,200,182,207,237,211,179,161,141,116,122,213,255,255,255,255,255,254,131,131,134,118,222,255,255,255,244,228,210,193,179,179,203,202,181,156,135,97,196,255,255,255,246,228,230,243,132,132,133,123,138,255,255,240,223,212,202,189,163,156,184,207,191,145,118,104,255,255,255,248,217,191,185,206,131,131,129,133,114,226,255,227,202,204,198,185,161,139,188,222,176,131,97,166,255,255,255,250,189,153,180,194,132,132,128,135,118,183,255,236,221,222,203,179,161,139,194,220,148,123,92,250,255,255,255,255,196,134,160,194,131,133,127,134,120,162,255,251,239,240,213,188,175,140,190,204,141,110,119,255,255,255,255,255,222,142,136,182,133,134,128,133,120,160,255,255,254,246,217,201,188,134,181,197,142,96,157,255,255,253,255,255,246,155,123,154
4,212,212,212,212,212,211,211,211,209,207,207,206,206,208,205,205,205,201,200,200,198,198,198,198,196,193,191,191,213,213,213,213,213,212,211,212,211,209,209,211,210,209,206,203,204,207,200,200,200,199,199,198,196,195,192,192,215,215,215,214,213,213,213,213,212,211,201,188,191,204,207,181,153,172,209,204,205,204,198,198,197,196,193,193,216,216,215,214,214,214,214,214,213,214,205,198,185,165,166,179,170,133,173,192,169,182,202,198,199,197,195,194,217,216,215,216,216,216,215,215,208,207,204,197,193,186,147,126,161,165,132,127,135,114,171,205,197,198,197,195,218,217,217,217,216,217,216,212,200,200,188,159,120,168,154,103,128,163,133,101,127,118,124,207,198,199,198,196,219,219,218,219,218,218,217,213,213,202,192,167,115,133,156,109,111,145,117,100,140,136,108,190,203,199,198,197,218,219,218,218,217,217,219,212,173,144,170,185,132,127,162,153,138,136,106,110,147,138,106,186,205,198,198,197,220,220,219,219,219,218,217,220,186,130,96,193,169,141,162,180,181,141,138,138,138,157,121,184,205,199,198,197,220,220,221,220,220,220,220,211,169,123,77,133,170,127,130,146,171,147,141,143,138,150,116,150,211,200,199,198,221,220,221,223,220,219,221,201,166,149,138,108,109,118,108,102,123,152,144,139,135,132,123,119,208,202,200,199,222,222,223,223,221,220,221,205,192,172,139,112,99,115,112,117,108,121,134,129,126,144,141,105,187,207,201,200,223,223,223,223,222,221,222,210,193,162,133,108,106,112,116,135,128,106,93,134,172,167,149,109,157,211,200,199,224,224,225,224,224,222,222,212,180,148,122,103,105,115,135,138,137,135,146,155,169,172,159,129,127,209,200,199,225,225,225,224,224,221,222,211,185,162,132,110,115,124,135,149,147,165,188,187,165,188,179,144,111,200,204,200,227,226,226,226,225,223,221,216,196,168,138,113,113,124,147,160,166,174,187,195,188,171,166,139,99,190,206,200,225,225,226,226,226,225,221,212,199,176,148,116,112,129,150,164,179,186,194,190,178,167,144,121,102,201,205,201,225,225,226,226,227,225,218,207,204,186,159,132,116,117,147,174,185,198,200,188,169,155,136,95,139,214,202,202,226,226,226,226,227,226,217,202,205,191,165,144,126,115,149,186,195,204,197,181,161,147,122,92,192,209,204,203,225,225,225,226,226,227,216,198,197,189,168,148,132,123,150,195,196,197,188,170,152,138,102,133,217,204,205,204,226,226,227,227,228,229,218,196,192,192,178,154,139,132,158,196,191,186,175,159,142,127,95,187,213,206,205,203,226,227,228,228,228,229,221,195,194,195,182,159,149,136,165,190,186,180,165,144,133,102,124,217,208,208,206,204,227,227,228,227,228,229,227,204,197,199,187,167,152,134,161,185,180,173,154,131,119,91,188,217,210,210,207,205,228,229,228,228,229,229,230,208,205,202,185,171,156,135,151,177,169,157,136,123,89,141,222,210,210,209,207,205,228,228,227,229,230,230,228,214,210,198,185,175,161,142,145,160,153,138,124,100,106,213,214,211,210,208,207,206,229,229,229,229,229,230,227,216,211,196,183,170,158,148,140,145,142,127,111,84,190,220,212,211,211,210,208,206,230,230,229,229,229,230,222,215,206,196,187,180,170,162,146,138,136,122,90,140,225,213,214,212,210,209,208,207,230,230,230,230,229,229,214,215,208,198,189,187,173,165,149,136,130,110,94,198,221,216,214,212,211,209,208,206
18,57,60,62,65,69,75,78,83,89,95,100,104,108,110,112,113,116,119,120,123,125,127,129,131,132,133,133,136,57,60,63,66,71,76,78,83,89,96,101,105,109,110,112,114,118,121,121,124,126,127,129,130,132,133,135,137,58,60,64,66,70,76,79,83,90,96,101,106,110,111,113,114,119,121,122,125,128,129,130,132,133,134,137,138,59,61,64,67,70,76,79,84,92,97,102,107,111,113,113,116,118,121,125,127,128,131,133,133,133,134,137,139,59,61,64,68,72,77,80,85,92,99,104,108,111,113,116,115,124,122,111,123,132,128,126,137,137,136,138,139,59,61,64,67,73,78,80,86,92,100,107,106,113,119,109,119,154,113,87,80,134,137,103,93,138,139,139,140,59,62,65,66,73,77,81,89,94,101,106,103,157,127,85,124,145,116,111,114,155,136,101,70,82,141,139,140,60,62,65,67,74,78,81,89,91,104,100,133,178,127,95,138,141,120,130,136,135,112,106,98,58,111,148,141,61,63,65,68,74,80,84,84,107,147,101,108,163,127,119,115,125,114,120,122,106,98,113,107,82,78,150,142,61,64,66,69,75,79,85,78,161,162,121,86,132,148,121,92,93,108,90,95,75,113,119,111,103,65,113,155,62,64,66,69,75,80,78,96,179,160,141,114,95,156,124,94,77,134,88,54,68,140,124,125,117,88,66,134,62,64,66,69,75,81,72,122,151,152,156,132,78,115,134,99,62,122,118,75,36,111,128,138,128,99,74,73,62,64,66,71,76,82,73,132,120,115,145,112,74,72,113,86,56,78,94,58,47,112,145,153,131,103,85,66,63,64,66,71,75,82,72,150,145,111,123,74,64,49,73,68,43,47,45,79,152,155,138,138,124,103,89,77,62,65,66,70,76,79,75,161,149,123,126,68,59,38,63,66,34,17,89,166,161,146,139,121,106,94,87,70,62,65,67,70,77,77,92,173,145,118,109,76,55,29,60,59,30,75,169,172,163,146,127,110,88,81,75,76,63,64,66,70,76,77,88,189,162,139,127,103,75,64,65,61,85,159,175,172,161,135,119,100,80,75,64,107,63,65,67,72,76,78,85,186,172,153,140,118,101,105,97,104,152,173,173,167,147,123,108,92,77,69,67,139,62,65,67,72,77,80,84,186,179,160,140,121,111,116,114,136,167,168,166,153,132,114,98,85,76,62,89,157,62,65,67,71,77,81,81,181,178,160,142,129,126,122,127,150,163,167,154,135,124,106,91,84,78,58,122,157,63,66,67,72,77,82,79,165,180,163,149,140,136,133,140,151,155,156,136,119,112,97,84,78,70,73,152,153,63,66,68,74,79,84,80,141,182,167,164,152,139,133,137,141,140,137,123,109,100,88,78,77,61,113,158,150,64,66,68,75,79,83,83,115,179,171,175,161,144,130,120,121,123,120,116,100,88,81,76,67,70,149,153,152,63,66,69,75,77,82,90,92,166,172,166,160,144,125,113,108,113,112,110,95,81,78,77,55,106,157,151,154,63,65,69,74,78,82,94,91,132,170,146,144,137,122,109,106,109,113,111,98,84,79,70,58,140,154,152,156,63,65,69,74,79,81,90,97,105,159,146,130,120,107,106,112,99,104,108,97,82,78,60,77,154,149,152,155,63,66,70,75,78,82,92,102,99,141,134,116,120,111,121,125,100,96,107,97,81,77,54,94,159,149,153,155,61,64,69,74,76,83,91,100,100,127,142,125,131,121,118,121,103,88,101,97,81,73,52,86,159,151,154,155
14,190,192,192,193,195,195,196,196,197,196,196,195,196,197,197,196,197,197,198,196,197,196,196,196,195,194,193,194,192,193,194,195,196,197,197,197,199,197,198,199,203,194,191,200,199,197,198,198,198,198,198,197,197,196,195,194,193,194,196,196,197,199,200,201,200,202,210,209,197,159,156,201,201,200,200,200,200,200,200,200,199,198,197,196,194,196,198,198,199,200,200,200,205,225,212,178,148,128,122,171,194,193,197,201,201,201,201,199,199,199,198,197,196,197,199,200,201,201,199,210,232,224,166,125,117,110,121,155,175,151,163,202,203,202,202,202,200,200,200,200,197,198,200,201,201,200,211,242,226,183,133,108,116,103,112,137,150,126,162,205,204,205,205,203,203,202,202,201,200,201,202,203,202,201,236,243,187,131,105,103,108,100,104,110,125,120,168,201,206,207,207,207,206,204,203,202,201,202,203,204,204,205,246,237,164,103,84,88,99,114,122,109,136,162,163,155,190,209,208,208,207,206,204,204,202,203,203,206,205,217,252,227,157,107,92,95,90,102,108,95,109,145,149,124,184,211,209,210,209,207,206,205,202,203,205,207,206,227,252,210,139,101,101,110,89,97,106,113,116,120,117,117,180,201,210,210,209,208,208,208,206,206,207,209,206,237,251,215,151,105,103,112,100,108,118,126,121,115,133,139,146,146,198,212,211,211,210,209,207,208,210,210,210,246,252,224,170,125,104,100,110,113,100,112,123,150,151,143,138,151,168,205,214,213,211,211,208,210,211,210,219,253,252,223,171,132,111,98,117,115,143,181,200,214,209,194,173,186,159,201,216,214,214,212,208,209,211,211,226,254,253,224,171,131,114,102,111,113,193,219,217,216,217,205,182,187,157,206,216,215,214,213,209,210,213,213,229,255,254,231,183,138,112,106,103,144,217,218,217,218,219,195,178,182,154,208,217,216,215,214,210,211,214,213,232,255,254,234,190,146,112,103,111,200,220,219,219,219,221,190,176,181,147,196,219,217,216,216,211,214,216,214,234,255,255,237,194,151,116,97,135,220,220,221,221,221,222,180,164,175,148,170,222,218,218,218,213,215,217,215,235,255,255,238,198,156,123,95,164,227,222,223,222,222,198,171,176,173,150,163,222,220,220,220,215,217,217,215,237,255,255,239,201,158,130,97,135,193,209,211,219,204,160,171,179,167,145,194,223,221,220,220,216,217,218,217,239,255,255,240,199,162,139,110,95,112,129,138,160,157,155,170,171,155,175,223,223,222,221,221,217,218,220,219,244,255,255,238,199,174,154,122,101,111,119,134,144,146,153,164,156,157,214,226,224,224,223,222,217,219,221,221,247,255,255,238,204,188,165,135,108,121,133,144,150,153,148,149,145,198,228,226,226,224,224,223,219,222,222,221,248,255,254,241,216,197,168,139,119,125,140,147,150,152,145,132,170,226,228,228,227,226,226,225,221,223,223,225,251,255,254,245,227,201,169,141,126,123,140,146,145,147,139,148,215,229,229,229,227,227,227,228,222,223,224,228,253,255,254,248,231,200,163,137,126,122,136,142,141,139,144,208,229,229,229,229,229,228,227,228,222,224,224,232,254,255,254,248,226,186,142,122,119,121,134,136,141,133,189,232,230,230,230,230,229,229,228,228,223,225,225,241,253,250,247,232,202,153,111,107,108,117,126,132,135,160,227,232,232,231,232,231,230,230,229,229,210,196,180,183,181,166,158,140,122,101,84,81,91,110,119,123,146,215,233,233,234,232,234,233,231,231,231,230
20,198,201,205,208,211,212,215,216,217,218,220,221,222,220,221,224,220,222,221,222,220,221,218,216,215,215,215,212,200,204,208,210,213,216,217,218,220,220,221,224,221,238,225,207,224,224,223,222,223,221,221,220,219,217,216,216,203,207,210,212,215,218,220,222,222,223,224,226,219,255,229,164,225,203,226,224,224,224,224,223,222,220,217,217,206,209,213,214,218,221,222,224,225,226,228,231,223,255,229,172,246,165,218,231,226,227,227,224,224,223,221,219,208,213,215,216,220,223,224,225,227,229,230,233,225,255,230,184,255,170,201,238,230,231,229,228,227,224,223,222,210,215,216,218,223,225,226,228,231,231,231,234,227,255,250,187,255,192,192,240,232,233,232,231,229,228,226,225,212,215,219,221,225,228,229,231,233,233,236,237,230,255,239,194,255,208,190,243,235,236,235,233,231,230,228,226,214,217,220,223,227,230,231,234,233,234,234,236,238,255,225,208,255,204,184,245,238,239,237,236,234,233,232,230,215,219,222,225,229,232,233,235,237,235,253,250,235,255,230,210,255,196,183,249,239,240,239,238,235,234,233,232,217,222,224,227,230,234,236,237,234,241,255,255,230,192,209,210,255,196,192,251,240,242,241,240,238,237,236,234,220,224,226,230,232,234,238,236,255,255,250,255,235,163,138,181,246,186,199,254,243,244,242,242,240,239,238,237,221,225,229,231,235,237,237,248,255,255,235,201,239,213,200,165,190,173,199,255,246,246,244,244,242,241,239,238,223,226,229,234,236,240,238,255,255,212,255,228,205,255,252,186,147,149,199,255,246,248,245,244,245,243,241,240,224,229,231,236,238,240,238,255,255,160,159,162,132,225,254,202,150,136,197,255,248,250,247,247,247,246,244,244,226,229,232,237,239,243,240,255,245,206,183,143,138,154,255,244,179,129,196,255,250,252,250,248,249,248,245,244,228,232,236,238,241,245,240,255,255,237,188,160,168,152,254,255,211,132,185,255,252,254,252,250,250,249,247,245,228,233,236,240,243,247,242,255,255,213,173,165,183,187,255,255,237,156,174,255,253,255,253,252,252,251,250,247,231,236,238,242,245,248,243,255,255,220,189,186,196,216,255,255,246,174,173,255,254,255,255,253,254,253,251,250,231,237,240,243,246,250,247,255,255,237,205,201,212,255,255,255,234,181,168,255,255,255,255,255,255,254,252,252,233,238,242,244,247,253,249,255,255,253,212,213,231,255,255,255,226,180,170,255,255,255,255,255,255,255,253,252,235,237,240,244,248,252,248,255,255,255,226,217,246,255,255,255,224,175,162,255,255,255,255,255,255,255,255,254,235,237,240,244,247,252,248,255,255,255,241,232,249,255,255,248,219,168,156,255,255,255,255,255,255,255,255,253,235,238,243,247,250,252,251,255,255,255,255,255,245,255,255,240,214,162,152,255,255,255,255,255,255,255,253,255,235,239,245,248,251,252,255,255,255,255,255,255,240,255,249,221,204,152,155,255,255,255,255,255,255,255,255,246,237,241,245,247,251,254,255,253,255,255,255,253,226,227,228,204,207,140,176,255,255,255,255,255,255,255,234,163,238,242,245,247,251,253,255,255,255,255,255,230,194,198,217,201,197,124,214,255,255,255,255,255,241,175,135,120,239,244,248,253,255,255,227,142,215,255,233,206,179,194,226,192,169,131,255,255,255,255,255,227,148,132,125,116,203,208,214,218,222,232,156,35,149,255,244,209,179,207,231,166,146,88,177,255,255,255,223,140,129,123,113,112
21,178,179,182,186,189,190,190,191,192,196,196,193,194,194,194,196,195,194,194,193,193,193,193,191,189,189,188,187,180,181,185,187,189,191,193,194,194,195,194,196,194,196,197,198,196,196,195,195,196,195,193,193,192,190,189,188,181,184,186,188,191,193,195,195,196,194,229,197,171,201,201,201,200,199,198,197,198,197,196,195,194,193,192,191,184,186,189,192,194,194,196,197,199,197,241,222,148,188,204,201,201,201,202,202,201,200,199,200,197,195,195,193,186,188,191,193,196,197,198,201,203,197,217,246,160,160,209,202,204,204,204,203,202,202,203,189,199,197,198,194,188,190,193,195,198,201,201,202,203,202,203,248,211,161,197,205,206,206,206,207,201,217,207,136,194,202,200,199,189,192,194,198,200,202,202,203,204,206,199,240,248,172,175,212,208,208,208,209,202,234,193,127,199,204,202,201,191,194,197,200,204,204,204,207,207,208,205,228,255,183,155,210,210,208,210,206,217,239,169,148,211,203,204,203,192,194,199,201,204,206,207,208,208,209,209,214,255,204,153,201,213,210,212,208,237,229,152,176,215,205,206,204,195,196,200,202,205,207,208,208,210,211,211,231,240,222,149,184,219,213,210,218,236,201,135,200,211,208,209,206,196,199,202,204,207,209,210,209,210,206,224,255,238,219,156,132,214,216,212,238,231,165,149,219,209,210,210,207,198,201,203,207,209,210,211,212,212,231,232,234,248,217,188,152,177,219,223,242,223,143,191,220,212,211,211,209,200,202,205,209,210,210,212,215,218,255,235,209,254,238,229,224,165,167,210,217,181,142,219,215,215,213,211,209,202,204,208,210,211,213,216,213,229,233,237,221,173,176,242,232,174,119,160,174,133,175,226,215,217,216,213,211,203,207,210,211,214,216,219,213,233,237,176,153,109,99,184,242,191,130,125,138,121,208,221,217,218,217,215,214,204,208,210,212,216,218,220,215,239,224,176,177,143,124,138,248,223,156,112,114,134,225,220,220,218,217,215,215,206,209,211,214,216,218,220,216,246,249,223,187,147,153,142,231,250,178,120,97,156,231,221,222,220,219,218,217,208,210,213,216,218,220,221,218,255,252,195,165,150,173,173,244,255,202,142,94,163,232,221,222,222,221,220,219,209,212,215,216,218,221,223,223,255,236,189,175,181,190,207,255,254,209,158,105,162,235,222,224,223,222,221,221,210,213,216,217,220,222,224,224,255,250,212,199,197,202,238,255,246,205,162,105,164,237,223,225,225,224,223,222,209,213,216,218,219,221,224,223,255,255,224,199,211,220,254,255,246,196,167,110,163,239,225,228,227,226,225,223,209,214,216,217,219,222,226,222,255,255,233,205,212,232,255,255,246,197,162,110,173,238,225,226,226,225,224,223,211,214,217,218,221,224,226,222,253,255,234,222,216,243,255,255,236,192,157,107,180,239,225,227,227,226,224,223,212,215,217,220,223,225,228,225,249,255,242,243,231,247,255,253,227,192,150,104,177,242,228,229,229,229,226,225,213,215,217,222,224,225,228,226,238,255,253,251,244,239,255,234,216,186,140,100,178,244,229,232,229,228,230,223,212,216,219,223,226,228,230,230,229,255,255,254,241,228,241,214,201,183,133,96,188,244,230,233,235,238,229,152,215,219,222,227,228,231,232,233,231,254,255,249,221,203,217,205,195,187,125,96,218,241,233,237,231,183,130,98,193,199,204,207,210,212,216,223,205,218,255,235,200,178,195,208,189,177,103,115,242,233,237,229,151,105,99,92
16,116,117,121,124,132,140,145,150,154,157,157,159,162,167,169,173,174,176,176,179,180,181,182,184,184,184,186,187,116,118,121,125,133,140,147,152,155,157,158,160,164,168,169,171,174,177,178,179,181,181,183,184,185,185,186,187,116,118,122,125,134,141,148,152,156,157,158,161,164,168,170,173,175,177,179,180,181,182,184,185,186,186,187,188,117,120,122,125,135,142,148,152,156,158,160,163,165,168,172,174,175,177,178,180,182,184,185,186,186,187,188,188,117,120,122,126,136,145,150,154,158,160,162,163,168,172,173,176,180,179,180,182,184,185,187,187,187,188,188,188,117,120,123,128,138,146,152,154,157,160,161,160,161,157,148,142,151,180,182,182,185,187,188,187,189,190,190,190,119,121,124,130,139,146,148,155,163,159,149,139,130,120,115,117,111,127,179,187,186,188,189,190,191,191,191,192,119,122,123,131,138,145,159,172,166,147,125,122,120,112,106,113,120,104,119,182,190,187,191,193,193,192,193,193,119,123,126,128,138,166,178,156,136,120,106,116,117,108,105,112,116,109,109,121,192,189,192,193,193,193,194,194,120,123,117,143,168,162,133,122,118,108,105,119,117,107,109,115,114,108,123,97,145,200,191,193,194,195,195,195,119,118,151,177,147,122,108,111,111,97,114,124,115,108,115,116,108,115,121,111,102,187,194,193,196,198,197,197,115,183,194,143,118,108,100,100,122,145,120,108,90,109,122,113,94,119,119,110,94,138,205,194,197,198,198,198,137,213,158,130,110,96,114,144,197,197,132,90,92,94,115,101,86,127,117,106,104,92,167,203,196,198,199,199,123,172,138,114,112,154,206,202,207,187,147,104,98,94,87,71,95,133,113,116,116,109,105,175,203,198,200,201,119,126,128,120,191,207,205,195,206,182,149,117,103,97,64,52,102,132,112,123,125,125,112,116,202,201,201,201,123,123,125,143,209,191,205,200,203,170,138,118,114,107,100,59,88,125,112,121,129,119,112,94,173,208,201,202,122,126,121,159,217,192,210,202,188,150,115,118,122,115,110,92,71,110,118,153,141,112,103,90,138,213,201,203,123,125,119,182,219,190,210,199,170,132,121,126,128,124,112,103,74,84,159,185,181,165,137,87,139,214,202,204,124,127,120,190,218,187,189,181,135,112,115,132,128,117,113,106,99,87,178,199,199,199,196,157,165,210,204,205,123,125,122,169,223,186,144,136,106,104,111,115,112,106,103,100,113,98,172,205,201,203,206,195,154,171,211,205,123,124,127,145,196,143,116,110,110,117,122,114,100,97,101,96,100,90,148,214,196,201,201,181,146,129,210,206,123,124,130,139,157,122,108,122,118,107,101,99,92,90,92,89,101,116,121,174,190,190,189,169,127,152,213,207,124,125,130,141,149,150,114,112,99,114,116,122,117,99,90,107,116,122,114,101,121,162,171,154,165,206,210,208,125,125,131,141,155,145,104,105,96,101,161,136,114,108,95,85,85,78,76,76,55,124,212,203,213,211,209,209,123,125,131,141,154,129,106,101,104,90,73,93,75,65,58,54,54,56,55,58,46,101,220,208,209,209,210,211,123,126,131,144,146,115,105,99,95,106,68,47,68,65,59,53,53,54,55,56,47,171,217,206,209,210,211,212,123,125,131,145,132,108,102,96,94,97,92,45,59,67,59,54,53,54,55,49,71,208,208,209,211,212,212,213,123,125,132,143,115,104,101,95,92,95,99,52,48,62,58,55,53,53,56,41,114,224,207,210,212,213,213,213
0,189,189,191,193,194,198,199,200,201,201,203,205,207,207,206,206,207,208,208,208,207,208,209,208,208,208,207,207,188,191,194,196,197,199,200,201,201,203,203,205,207,207,207,207,208,208,209,209,208,209,208,209,209,209,208,209,188,191,194,198,198,200,202,202,204,206,205,207,208,207,208,209,208,208,210,210,210,212,210,211,211,211,212,210,190,193,195,198,199,200,203,204,206,208,209,208,210,211,216,209,207,213,224,211,206,229,200,205,214,214,212,211,192,195,197,198,200,202,204,206,208,215,231,211,194,231,233,200,178,220,236,208,184,225,201,182,215,215,214,213,194,196,198,199,202,205,206,209,205,240,243,218,171,205,229,202,167,177,230,210,172,199,212,168,208,216,215,215,195,198,200,202,204,206,225,226,199,241,239,222,185,180,227,210,181,164,231,211,166,160,212,182,175,202,215,216,196,199,200,203,206,218,248,230,198,218,243,223,201,176,228,214,183,174,231,204,160,120,195,202,179,168,195,217,198,200,202,204,204,238,253,238,213,198,244,221,205,170,234,222,174,178,225,187,148,86,160,209,197,160,165,220,199,201,203,205,208,248,252,247,222,187,238,222,201,167,238,222,161,151,200,166,127,83,177,223,206,164,173,223,201,202,203,204,219,244,234,246,225,181,222,219,191,160,226,209,155,117,163,149,110,106,215,228,209,159,197,223,202,204,206,204,237,243,224,232,199,156,194,205,175,143,185,179,146,106,162,149,107,174,228,223,189,152,217,224,203,206,206,212,249,240,206,212,164,129,163,182,162,126,142,158,128,112,182,188,193,218,221,202,164,161,225,225,204,206,205,229,252,236,203,195,166,139,149,177,163,112,119,154,142,195,231,230,220,202,197,173,154,178,226,227,207,210,208,224,254,247,223,191,168,152,143,190,168,107,115,187,232,243,240,228,210,187,170,156,142,194,228,228,209,212,211,222,254,251,236,213,185,168,170,194,173,157,211,246,251,243,233,219,197,172,155,149,151,221,229,230,209,211,211,227,254,254,244,227,212,188,189,205,222,243,252,253,248,236,219,201,179,158,146,146,206,230,231,231,208,210,212,228,254,255,251,239,228,212,203,224,239,254,254,250,242,226,204,181,160,146,138,187,228,231,233,232,209,210,212,225,255,255,254,246,236,224,215,226,239,253,252,243,233,214,190,164,147,138,160,228,232,232,233,233,210,211,215,222,254,254,254,247,235,223,217,220,232,244,241,228,216,199,170,150,137,144,216,234,234,234,233,233,210,212,216,218,251,254,252,243,228,213,212,217,223,229,222,209,191,175,153,136,135,207,235,235,234,235,234,234,212,215,217,218,242,254,247,236,222,207,208,216,219,219,205,189,166,149,130,121,191,235,235,235,236,235,235,235,207,205,203,196,207,216,202,193,185,179,188,199,196,193,174,161,143,123,109,174,234,236,237,236,236,237,236,235,165,154,152,145,138,132,128,118,109,99,98,94,86,85,83,84,88,92,111,209,236,236,236,237,238,237,237,236,144,144,141,133,131,127,118,108,101,89,81,71,64,63,59,58,57,60,66,88,177,240,237,238,239,238,238,238,148,146,142,136,132,124,116,106,98,86,78,71,64,62,59,57,55,57,57,56,139,240,239,239,239,239,239,239,167,146,144,137,135,123,113,103,92,85,77,71,63,61,59,55,54,53,56,62,208,239,239,240,239,239,239,239,181,149,141,138,133,122,110,102,92,83,74,70,64,62,58,55,53,52,55,114,240,239,239,240,241,241,241,241
18,184,184,184,184,185,185,186,186,186,186,186,186,186,185,185,184,185,185,186,185,185,184,182,181,180,179,178,176,184,185,185,186,186,186,187,187,187,187,186,187,186,185,186,186,186,186,186,185,184,183,183,183,181,179,179,179,186,187,188,188,188,188,187,187,187,187,187,187,187,188,187,186,187,189,186,188,184,183,183,183,182,180,180,180,188,188,188,189,189,191,189,189,187,187,189,188,189,188,187,188,187,194,181,177,189,185,184,184,182,182,181,180,188,189,190,190,189,190,191,191,189,189,190,189,187,189,190,189,188,213,183,146,174,188,186,185,185,185,183,181,190,191,192,191,191,192,191,192,191,192,192,189,204,205,177,185,214,222,203,159,161,184,183,187,185,184,183,183,191,191,192,191,191,193,193,194,190,193,191,205,229,208,173,156,198,213,218,205,206,195,154,153,186,183,183,185,192,193,193,192,193,193,195,192,197,217,185,200,229,200,179,148,196,195,218,218,217,203,155,111,169,189,185,186,193,194,194,195,195,194,190,197,229,223,182,157,222,197,171,154,209,183,185,211,221,199,148,104,140,192,185,185,193,192,194,194,193,195,191,226,236,222,188,157,222,203,169,153,212,195,154,214,231,201,140,101,128,195,187,187,195,195,195,195,197,192,210,234,233,226,192,154,219,210,171,157,217,192,162,230,234,199,136,95,142,198,186,188,196,198,198,198,196,197,234,217,222,232,199,156,212,206,169,146,197,176,161,233,230,190,130,92,170,196,189,190,198,199,197,199,196,219,233,211,210,216,193,150,181,191,164,120,144,137,183,236,216,176,124,109,195,191,191,191,198,198,199,196,206,236,217,184,189,183,152,118,145,167,132,83,157,192,218,228,204,165,113,150,201,192,193,191,200,201,202,198,210,236,220,186,167,164,131,97,161,163,108,170,229,227,212,199,191,154,113,184,199,193,192,192,201,202,204,197,220,236,220,197,158,149,133,90,176,151,189,236,229,221,195,175,174,136,111,193,196,197,195,193,200,202,204,200,230,235,222,203,181,153,143,132,126,187,236,232,229,214,182,157,151,113,140,206,195,197,195,195,202,204,203,206,236,235,226,210,193,166,154,154,180,236,234,233,223,199,164,144,136,95,165,206,197,198,198,196,204,205,202,209,236,235,230,218,206,178,173,192,228,236,232,229,216,183,151,135,112,118,198,201,200,199,199,198,204,205,202,210,236,235,234,225,215,196,188,209,232,232,225,218,207,171,141,127,96,174,209,199,200,199,200,198,203,204,202,208,236,235,236,229,216,201,195,204,231,226,216,213,182,161,129,106,117,205,202,201,200,201,201,198,204,204,204,207,235,235,235,226,212,199,198,200,221,213,201,203,171,143,116,89,166,209,201,202,200,201,200,200,205,205,204,206,234,235,231,219,205,193,194,200,211,198,191,189,167,124,99,107,203,203,201,202,203,201,200,208,204,206,203,208,236,220,210,208,195,185,187,192,209,192,181,174,145,107,78,160,213,203,204,202,202,201,201,164,208,208,207,216,236,220,212,209,199,197,189,192,214,181,160,145,116,76,109,207,204,204,202,204,207,211,155,97,161,154,142,181,227,222,219,212,212,217,186,190,208,161,136,118,81,80,196,208,204,204,208,204,182,147,107,96,118,117,111,115,121,122,125,128,136,153,141,156,164,134,113,93,60,166,216,212,211,212,179,130,106,93,87,80,136,107,107,110,104,99,92,86,76,71,71,74,75,68,65,63,57,85,105,130,175,175,98,99,103,97,89,79
24,161,164,167,171,172,174,176,178,180,180,181,181,181,182,182,182,182,183,184,183,183,183,183,183,182,181,180,180,163,167,171,173,175,177,179,181,181,182,183,183,184,184,185,186,186,186,186,186,186,186,186,186,185,183,182,182,165,168,172,175,178,181,182,183,184,185,185,186,187,187,187,188,187,188,187,187,187,188,188,188,187,186,185,185,167,171,175,178,181,183,184,186,187,187,187,187,188,189,190,190,190,190,189,190,190,190,191,190,189,188,188,186,170,175,176,180,184,185,186,188,188,189,190,191,192,192,193,192,192,193,193,193,193,192,193,192,191,190,189,188,155,144,182,183,185,187,188,190,190,191,192,193,194,193,194,194,194,195,195,195,195,195,195,194,194,192,192,191,145,97,182,185,187,189,191,193,193,193,195,196,196,196,196,196,198,198,196,197,198,197,196,198,198,196,196,193,142,87,177,187,190,192,193,195,197,199,197,190,186,200,198,199,199,199,199,200,199,200,199,194,179,152,156,199,130,76,177,190,191,192,196,193,172,170,197,167,136,147,202,201,199,200,201,201,201,201,193,165,138,95,140,202,120,74,177,192,188,156,158,198,157,124,170,176,152,117,173,205,201,201,201,202,203,201,192,156,98,122,200,201,134,83,166,196,202,167,145,189,171,153,149,189,172,140,134,207,203,203,203,204,202,199,184,128,98,198,203,201,146,102,155,197,209,202,169,156,195,173,138,166,186,149,111,196,206,205,206,205,202,195,161,90,141,210,204,202,169,153,166,192,191,210,192,140,163,191,154,126,180,136,85,187,211,207,202,194,193,173,110,97,199,207,204,203,187,184,177,187,176,169,197,129,101,194,167,102,116,102,71,166,187,185,175,165,165,120,87,185,213,208,206,206,182,194,188,185,184,169,163,121,78,142,138,84,47,82,110,156,180,183,164,139,117,82,160,216,210,208,208,207,186,199,188,185,181,163,150,128,99,80,93,63,52,121,182,196,193,177,147,115,90,121,216,212,210,209,210,208,189,197,188,158,164,158,144,137,120,101,104,105,151,184,198,195,180,161,127,90,83,196,216,212,212,211,211,210,190,194,196,174,148,149,172,158,150,133,128,174,202,201,195,185,168,141,103,72,149,220,215,214,214,213,212,211,191,193,205,204,173,148,150,166,185,186,189,210,206,200,188,172,148,115,77,124,218,215,215,215,214,213,213,213,190,193,199,209,190,164,147,158,175,202,209,208,206,198,178,151,121,87,92,205,219,216,215,215,215,214,214,213,191,196,194,204,208,181,159,159,179,205,212,213,211,190,157,127,98,73,166,220,215,216,215,215,214,214,213,211,191,196,197,208,219,208,178,174,183,212,222,215,200,166,133,102,76,108,217,217,216,216,215,215,214,214,213,215,192,195,198,199,211,220,196,182,186,207,217,204,177,141,110,84,69,182,221,218,219,219,217,217,215,215,208,204,194,196,200,192,188,206,197,187,186,190,192,185,158,121,88,65,109,220,218,218,219,219,217,218,219,208,199,138,185,190,194,197,180,185,190,184,178,164,160,168,148,108,78,62,170,224,222,221,221,222,220,219,202,191,215,183,112,117,118,123,124,163,187,176,161,147,148,158,137,109,82,70,155,182,185,187,191,197,201,197,203,181,179,128,101,102,101,101,99,126,176,148,141,142,157,167,136,116,97,72,93,103,102,103,104,107,115,181,214,181,171,131,103,106,112,111,108,108,158,141,150,161,166,170,139,113,106,77,98,113,114,113,110,110,147,151,198,203,106,157
18,140,143,146,149,152,154,158,161,163,165,168,170,171,173,174,174,174,174,176,174,174,175,176,176,176,178,178,178,141,146,147,150,153,156,160,163,167,168,170,171,173,174,174,175,177,177,180,182,175,179,179,178,180,179,180,180,143,146,148,152,155,159,161,165,169,171,172,173,175,177,179,179,178,168,140,158,189,180,179,186,180,182,183,182,145,147,151,153,158,162,163,166,170,170,175,177,177,178,175,174,202,165,120,85,143,147,123,152,191,183,185,185,145,149,153,157,160,163,164,169,171,174,176,179,180,180,142,115,168,146,87,85,59,125,123,79,158,193,185,187,148,151,153,158,162,164,169,171,174,175,178,172,189,200,136,107,149,125,73,75,56,120,145,88,88,198,186,187,151,153,156,161,164,168,172,173,177,177,184,143,121,174,161,135,158,133,111,102,83,89,120,92,73,193,189,189,152,155,158,162,166,171,172,176,177,183,200,160,127,106,167,149,133,159,150,149,140,105,74,68,78,195,191,191,153,157,159,163,167,170,174,177,178,190,192,191,165,108,111,153,108,134,170,162,162,126,68,39,78,199,192,193,155,158,162,165,168,171,175,178,181,190,156,185,163,133,74,109,122,82,138,162,156,120,78,41,79,204,192,194,156,160,164,167,172,175,178,178,182,192,120,118,148,113,55,67,110,65,68,122,146,135,99,46,96,208,192,196,157,161,164,169,173,176,179,181,183,195,143,108,133,81,44,49,83,57,40,69,156,157,117,57,88,210,193,198,158,162,165,169,172,176,178,181,183,199,177,133,121,80,48,39,75,51,28,43,149,178,132,87,54,182,202,197,159,163,168,170,173,177,180,183,185,200,167,120,104,82,52,33,81,59,12,123,183,191,157,104,51,95,211,198,161,164,168,172,176,179,182,185,185,195,188,160,121,87,60,49,62,37,105,201,199,184,152,102,71,78,206,201,163,165,168,172,176,180,183,188,186,198,195,166,124,90,73,66,56,97,192,213,207,184,138,94,67,96,211,199,163,166,171,173,176,180,184,188,187,199,198,172,133,105,91,94,96,166,209,216,191,169,129,82,55,119,214,198,165,167,171,173,177,182,184,188,189,196,199,180,150,129,119,96,108,177,208,208,172,140,109,78,50,147,215,201,163,168,171,175,178,182,185,188,188,193,195,182,159,135,122,105,107,162,210,202,161,131,95,73,54,168,214,204,163,167,172,176,179,182,186,191,191,191,193,184,162,134,128,130,105,149,209,191,146,115,86,66,64,190,210,205,162,166,172,175,178,182,185,187,192,192,189,182,168,145,152,142,105,129,207,171,134,98,78,60,82,207,208,208,163,166,170,173,177,181,186,184,190,193,186,178,170,155,146,148,112,114,193,154,117,86,71,55,104,218,205,207,163,168,171,174,178,180,187,186,189,191,189,179,173,158,144,144,119,99,173,142,96,77,70,52,128,215,203,207,166,169,174,176,178,183,187,188,190,194,192,187,181,160,141,130,108,81,150,119,79,69,70,60,174,211,206,208,165,169,174,176,179,184,186,189,191,193,186,200,180,149,126,107,77,79,123,96,78,73,58,109,215,207,208,208,165,169,172,177,180,183,186,188,192,190,185,205,174,142,121,90,80,84,115,90,78,72,64,176,210,206,208,208,165,170,173,177,181,185,186,189,193,187,192,207,180,153,135,106,92,96,114,81,84,51,112,216,206,207,207,209,164,170,172,176,180,184,185,187,191,184,193,199,186,163,148,109,85,112,103,83,72,48,162,211,203,208,207,208
12,100,104,110,117,131,144,151,158,163,168,169,172,175,177,180,183,186,188,189,191,192,194,195,195,196,196,197,197,101,106,112,117,133,147,152,159,165,169,170,173,176,179,182,183,186,190,192,191,194,195,196,197,198,198,198,199,102,106,113,118,133,146,154,162,166,169,171,175,178,179,184,190,187,192,185,195,196,198,198,198,199,201,201,201,103,108,115,121,137,148,155,162,166,169,174,176,177,194,160,159,198,203,148,144,201,195,202,202,200,204,202,203,104,108,115,123,139,150,156,162,167,172,177,170,202,216,170,132,177,206,162,116,149,159,142,196,206,203,204,204,104,109,117,124,140,152,158,164,169,174,178,171,226,225,183,148,157,208,176,144,113,157,122,142,209,205,206,206,104,111,118,125,143,153,159,165,170,175,178,179,229,244,202,153,153,214,175,145,106,148,146,107,190,211,205,207,105,113,119,128,145,155,160,167,172,177,172,189,213,226,217,154,143,221,176,138,101,147,140,108,193,211,209,209,108,113,120,129,146,155,162,168,171,168,181,196,200,187,193,143,120,189,165,126,102,150,132,118,205,212,210,210,107,113,120,132,147,154,161,168,171,217,237,170,124,130,171,126,104,156,134,112,107,144,120,136,219,210,212,211,109,114,120,134,149,155,164,162,200,255,206,153,130,101,155,139,101,141,137,113,108,136,115,146,220,211,213,212,109,115,121,135,148,155,166,165,225,198,187,164,145,104,136,171,104,140,173,124,120,171,131,155,224,211,214,214,110,116,123,136,150,157,162,175,226,177,168,179,149,122,83,111,77,105,148,116,126,179,143,103,178,222,214,216,109,116,123,139,152,159,159,185,225,183,152,170,142,130,78,64,96,131,130,129,159,145,119,107,128,220,215,217,111,118,124,140,152,158,160,187,240,196,163,142,130,114,72,87,144,186,191,182,174,147,141,126,140,222,216,217,113,118,126,143,153,161,161,194,240,196,177,140,113,114,100,132,187,208,205,190,170,143,135,117,173,225,216,218,113,118,126,145,154,162,161,198,236,204,181,148,133,156,149,191,216,215,206,181,156,141,122,116,204,221,218,219,114,120,127,145,152,162,164,192,227,198,176,151,151,157,155,213,212,214,203,168,147,138,114,145,224,217,219,219,113,120,129,146,152,162,167,183,222,193,173,157,153,145,166,203,204,210,187,157,140,131,114,190,224,217,220,219,113,119,131,147,154,162,170,177,217,190,179,172,158,159,185,199,205,196,171,150,135,119,133,221,220,220,220,221,115,120,131,148,156,165,170,172,204,196,188,185,170,163,184,192,192,172,151,138,130,113,173,226,219,221,222,223,116,121,133,149,157,164,171,171,193,206,187,178,165,150,157,175,173,155,137,130,121,131,215,220,220,221,224,223,116,121,135,148,155,164,170,174,187,214,181,170,157,143,144,154,148,140,129,129,114,180,226,219,222,223,223,223,117,121,136,150,155,165,170,176,181,218,197,169,147,139,149,146,146,141,128,119,136,220,218,221,223,224,224,224,116,122,137,150,156,166,171,178,180,217,212,175,160,159,163,144,147,141,125,107,176,226,218,223,224,224,225,225,117,123,138,150,157,165,173,175,193,232,224,184,175,167,164,142,137,129,120,97,187,226,220,223,224,225,226,226,117,123,140,151,158,168,169,196,225,211,243,193,184,167,159,141,128,119,117,95,189,227,219,224,224,225,226,226,118,123,141,151,159,168,172,229,239,189,211,194,182,163,154,135,118,118,115,98,199,225,221,224,225,225,226,226
3,152,154,156,158,159,160,162,161,161,161,161,160,160,160,161,159,158,156,155,154,152,150,148,145,143,142,140,137,153,155,157,159,160,160,163,162,162,163,162,161,161,160,160,162,160,158,156,155,152,151,149,146,144,141,141,138,153,156,157,160,160,161,162,163,163,162,163,162,160,165,140,120,163,157,157,155,154,152,149,148,145,143,142,140,154,156,158,161,160,162,163,164,163,164,163,163,162,168,138,81,155,160,157,156,155,153,150,147,145,144,142,141,155,157,160,162,163,164,164,164,164,165,164,163,163,167,138,76,142,165,158,156,155,154,151,148,146,145,144,143,156,158,161,162,164,165,166,166,166,167,167,165,163,167,133,69,139,167,158,158,156,155,153,150,148,147,145,143,158,161,163,164,166,168,168,169,169,170,170,168,166,171,150,79,131,169,159,159,158,156,154,152,151,148,147,145,160,162,164,167,168,169,170,171,170,171,170,170,168,166,138,76,120,173,161,161,160,157,156,154,153,150,148,147,161,164,166,169,169,170,173,172,172,172,172,170,174,154,115,75,110,172,164,162,161,160,158,155,154,152,150,148,162,165,168,170,172,173,174,174,175,175,175,172,178,185,159,103,133,126,155,167,162,161,159,158,155,153,152,150,163,166,170,172,174,175,176,177,177,176,178,172,132,129,161,119,151,94,112,177,162,162,160,159,156,155,153,151,164,168,171,173,174,175,177,178,179,177,172,175,134,92,114,123,130,117,65,125,171,163,163,161,159,156,154,152,166,169,172,173,175,175,177,178,179,178,127,117,162,125,87,125,129,127,90,69,145,171,162,162,159,157,156,153,167,170,174,175,176,177,178,180,182,175,142,106,129,149,93,112,117,115,111,67,129,176,164,163,160,160,157,155,168,172,174,176,176,178,180,181,182,143,154,134,102,139,105,60,55,122,119,64,144,175,166,164,162,160,158,156,169,173,175,177,178,180,179,185,167,114,112,135,79,103,97,50,44,120,125,69,154,174,167,164,163,162,159,156,169,172,175,177,179,181,180,186,166,122,77,112,59,80,112,76,75,130,123,70,158,174,168,166,164,163,160,158,170,172,176,177,180,181,183,181,149,114,80,89,78,69,116,78,117,134,108,68,165,175,169,167,166,164,161,158,171,173,177,179,181,182,184,180,162,136,94,75,78,90,136,129,138,119,73,89,181,172,171,169,167,165,161,159,171,174,177,180,181,182,185,182,169,146,107,95,85,141,178,160,127,107,58,135,184,171,173,171,168,166,162,160,173,175,177,181,182,183,185,182,166,149,119,100,95,159,162,142,123,98,68,171,178,174,173,171,168,167,163,161,172,175,178,181,182,183,186,183,157,142,124,109,106,157,155,136,119,77,95,189,176,175,173,172,170,167,164,161,171,175,178,181,183,185,187,188,162,145,134,124,111,148,149,127,101,60,146,188,177,176,176,174,171,168,165,163,171,175,179,182,182,185,187,190,176,150,144,128,108,126,129,107,68,83,190,181,179,177,176,174,171,169,166,164,171,175,179,182,183,185,187,189,184,162,146,129,112,109,113,93,52,148,190,180,181,178,176,174,172,170,167,165,172,176,180,182,184,186,186,189,186,170,142,132,127,114,108,73,79,189,182,182,181,179,176,174,172,171,169,165,172,175,179,182,183,187,188,189,177,169,152,148,134,117,99,58,112,195,181,183,183,182,178,174,173,171,170,167,171,175,179,181,185,187,188,188,167,173,162,148,130,107,86,52,139,194,181,182,181,179,177,175,172,170,169,166
12,152,153,155,157,157,158,158,160,163,163,163,165,166,167,167,166,167,167,169,170,168,169,168,169,169,168,169,170,153,155,156,157,158,159,159,161,163,163,165,157,153,164,168,161,152,157,169,170,170,171,170,170,169,169,170,170,155,155,156,158,159,159,160,162,164,182,182,149,123,122,178,159,136,114,160,169,170,172,172,171,170,169,170,170,155,156,157,158,159,161,162,162,182,206,192,144,128,102,172,153,134,113,118,136,148,166,171,170,171,171,172,171,155,156,157,158,160,161,163,163,197,184,189,154,152,104,155,164,146,114,91,122,110,117,170,173,173,174,174,173,156,158,159,160,160,162,163,168,206,165,172,164,146,107,137,168,150,108,100,129,115,85,153,175,174,174,174,173,157,159,160,161,163,164,165,172,208,158,172,150,122,92,78,136,119,93,114,145,122,92,151,174,174,175,174,173,158,160,162,163,163,167,159,150,181,123,161,153,130,95,63,84,81,66,151,158,122,92,163,175,176,176,175,174,159,160,162,163,169,185,161,135,119,106,134,153,149,146,127,123,108,73,130,130,103,91,173,176,177,177,175,174,160,162,163,162,196,199,171,144,109,105,124,135,133,147,152,152,148,111,75,74,81,109,178,178,177,176,175,174,161,164,162,181,199,199,182,154,120,106,131,123,101,120,130,157,173,146,104,61,70,136,180,178,177,176,175,175,162,164,162,203,182,184,185,161,126,103,102,109,94,99,109,168,179,169,142,86,69,158,179,179,178,176,175,175,161,163,178,199,162,147,174,164,137,112,92,100,93,107,127,165,176,177,164,123,82,170,179,180,178,177,177,176,161,161,193,189,171,150,142,167,142,112,91,99,92,105,116,159,178,173,171,149,100,173,180,180,178,178,178,177,162,161,203,193,175,146,118,154,148,114,94,91,93,107,130,150,161,175,160,156,115,153,181,179,180,179,179,180,161,162,198,171,144,121,101,112,158,127,116,88,104,111,151,172,168,163,153,141,127,117,183,180,181,180,181,181,162,163,206,184,162,139,120,107,139,142,146,104,114,133,175,182,176,163,143,129,123,102,183,182,181,181,181,180,164,165,210,191,166,145,131,113,112,133,130,118,130,169,191,186,179,160,143,122,108,115,183,182,182,182,181,181,166,167,213,195,172,154,139,117,113,134,113,126,153,191,194,185,175,159,144,120,98,132,183,183,183,182,182,182,167,170,217,198,177,162,147,124,116,142,127,152,184,202,194,182,170,157,143,119,91,146,183,183,182,182,182,182,167,174,221,199,178,167,154,137,120,138,144,165,200,205,194,180,165,156,140,116,87,162,182,184,182,182,182,182,165,176,222,201,184,171,157,150,133,134,156,167,206,201,188,176,164,154,134,110,91,175,184,184,183,183,182,182,166,173,218,205,192,175,163,155,145,133,164,165,207,197,181,173,163,151,130,105,99,180,183,183,184,184,183,183,168,169,209,208,199,183,170,163,154,139,161,164,205,193,173,167,160,147,126,100,120,184,183,184,184,183,183,183,167,167,200,211,199,187,174,169,157,143,149,160,198,189,169,164,158,139,121,91,150,183,183,185,185,184,183,183,167,166,192,215,201,191,179,170,157,146,144,152,187,184,166,159,153,137,116,92,172,184,184,184,186,185,184,184,167,167,183,218,205,190,179,166,153,146,146,148,172,175,157,152,148,137,107,108,184,183,185,185,185,184,184,183,166,167,186,221,201,184,174,163,151,143,146,148,162,166,152,147,148,131,96,142,185,184,185,185,184,184,185,183
8,106,112,118,123,127,131,134,136,138,140,141,143,146,149,151,153,155,156,157,158,158,159,161,163,163,163,163,163,107,113,118,124,128,132,135,137,140,144,134,135,147,150,152,154,156,157,158,159,160,161,162,163,163,164,163,163,109,114,120,125,130,134,137,138,147,153,121,116,146,151,152,155,157,158,159,160,162,163,163,164,164,164,164,164,110,116,122,127,131,135,138,139,154,148,107,110,146,152,154,156,158,159,160,162,164,163,163,164,165,165,165,166,112,116,123,129,132,135,138,143,160,135,97,117,150,154,155,157,159,161,162,164,165,161,146,156,166,166,167,167,114,117,124,129,133,137,139,149,162,125,95,127,153,155,157,158,161,162,164,165,171,154,113,136,167,168,168,168,116,119,125,129,133,138,141,156,163,123,99,137,154,156,158,159,161,163,164,165,175,149,99,127,168,170,170,170,116,120,126,131,135,139,142,162,159,119,104,141,149,154,158,152,145,153,161,158,174,152,108,124,166,171,171,171,117,122,128,132,136,139,143,168,157,117,116,143,134,139,157,146,123,125,149,146,168,161,127,114,154,172,173,173,118,124,130,133,136,140,147,176,161,134,152,154,130,127,153,143,113,112,139,133,156,168,137,105,131,170,174,175,119,124,130,133,138,141,152,180,163,150,180,163,128,126,149,133,101,108,130,121,157,174,140,102,119,170,176,176,120,125,130,135,139,142,155,176,157,146,180,166,123,128,147,121,90,101,120,116,167,174,139,101,123,173,177,178,121,126,131,134,138,142,158,175,163,152,172,160,117,133,146,114,85,90,112,118,168,165,130,96,128,175,179,179,121,127,132,135,140,144,164,178,173,166,172,160,128,139,155,123,85,91,118,136,166,150,117,93,135,177,180,180,121,126,132,136,140,148,173,173,165,157,164,163,139,148,162,129,96,112,139,155,162,139,108,92,143,179,180,181,121,126,133,137,140,154,173,156,145,138,141,142,124,137,142,127,134,154,159,150,146,131,104,91,146,180,181,181,122,127,133,137,142,166,175,153,138,124,114,110,106,121,146,164,172,167,157,136,124,117,99,90,151,182,182,182,123,128,133,137,147,180,179,159,140,120,107,102,117,156,189,195,179,162,145,121,106,101,89,99,164,183,183,184,123,129,134,139,156,191,181,162,141,122,108,106,146,191,203,196,175,151,131,109,94,90,84,122,177,184,184,185,125,130,135,140,169,197,181,162,145,131,120,133,178,199,199,186,163,139,118,99,87,83,86,149,183,185,185,186,125,131,136,141,179,200,180,163,152,144,144,168,192,194,187,174,150,127,109,91,82,78,92,162,186,185,186,188,126,131,137,143,188,202,182,169,161,158,171,189,196,184,171,159,138,117,100,86,79,76,107,172,187,187,187,188,127,132,137,145,192,204,185,171,162,166,185,196,191,172,157,146,127,108,93,81,76,84,137,182,187,188,188,188,128,133,138,145,189,206,189,174,163,166,183,189,177,161,147,135,118,99,86,78,80,117,169,186,187,188,189,189,127,132,138,144,183,203,190,176,164,163,175,178,170,157,141,129,112,93,81,78,108,161,184,187,188,189,189,190,127,133,138,144,175,193,180,171,163,163,167,172,169,156,140,126,108,87,75,93,150,182,187,187,188,189,190,190,127,133,139,143,167,184,178,171,170,167,161,163,163,150,134,119,99,77,78,132,176,185,187,188,188,189,190,191,128,134,139,143,165,185,183,178,177,170,158,157,159,146,128,112,91,70,97,162,183,186,188,189,189,190,190,191
24,178,178,179,179,179,180,179,179,179,179,179,178,178,176,175,174,172,171,170,169,167,166,165,163,161,159,158,156,181,181,181,182,182,182,181,181,181,181,181,181,180,179,177,177,175,174,171,169,169,169,168,166,164,162,160,158,184,184,185,185,185,185,184,184,184,184,185,184,183,181,180,179,179,177,170,152,160,171,171,169,167,165,162,160,186,186,187,187,187,187,187,187,186,187,187,186,185,184,183,182,181,180,171,131,139,171,173,171,169,167,165,163,189,189,189,189,190,188,188,189,188,188,188,188,187,186,186,185,184,184,174,127,132,172,176,174,172,170,168,166,192,192,192,193,190,172,170,188,192,192,192,191,190,189,188,187,186,187,175,126,135,176,179,177,175,173,171,170,194,194,195,195,187,153,134,175,194,195,195,194,193,192,191,190,189,191,173,124,143,180,181,180,178,175,173,173,196,196,196,196,189,156,120,152,194,197,197,197,196,194,194,193,192,195,169,124,153,183,183,181,179,177,175,174,199,199,198,199,196,171,127,132,190,199,199,199,198,196,196,194,196,193,155,119,163,186,185,184,182,180,178,176,201,201,201,201,200,184,141,119,177,200,200,200,198,197,196,188,183,183,142,119,174,189,188,187,184,182,180,178,202,202,202,202,202,194,158,118,156,200,202,196,182,179,185,165,136,140,129,132,185,191,191,189,186,184,183,180,204,204,204,204,204,200,171,124,131,193,202,187,166,152,154,144,120,105,106,146,191,194,193,190,188,187,185,183,206,206,206,206,206,204,181,139,119,175,195,183,171,151,142,138,138,111,92,158,196,196,194,192,190,189,187,185,208,208,208,208,208,207,192,162,125,146,174,176,177,153,143,142,145,116,96,169,198,197,196,194,192,190,188,186,209,210,210,209,209,209,202,179,136,123,141,156,180,152,120,118,139,128,102,160,199,200,197,196,194,192,190,188,210,211,211,211,211,212,208,190,161,139,126,132,166,145,93,84,140,146,109,132,192,200,199,197,196,194,192,189,212,212,212,213,213,213,211,199,185,149,113,106,145,130,83,77,140,164,130,107,168,200,200,199,198,196,193,191,214,214,214,215,215,215,213,203,186,146,114,104,138,123,86,107,170,181,147,99,143,198,201,200,199,197,194,193,215,216,216,216,217,217,216,207,190,165,143,118,137,132,114,158,190,178,138,94,142,199,202,201,199,197,195,194,216,217,218,218,218,218,218,211,195,185,160,127,127,130,154,195,190,165,124,90,156,203,203,202,201,199,197,195,217,217,218,218,218,218,219,212,194,191,172,143,120,136,187,204,184,154,116,95,171,206,204,203,201,200,198,196,217,217,217,218,218,219,219,213,194,186,176,156,128,142,193,198,176,145,106,101,181,206,204,203,201,200,197,196,218,218,218,219,220,220,220,216,195,181,176,166,141,140,186,192,166,132,94,110,191,206,204,203,201,199,196,195,219,219,220,220,221,221,221,219,200,183,179,173,156,137,173,184,153,114,83,131,201,207,206,204,202,200,196,192,220,220,221,221,221,222,222,222,210,190,183,175,161,129,148,161,130,92,78,157,206,207,206,205,202,196,173,148,211,213,215,215,216,218,219,220,213,195,187,174,156,128,126,136,111,77,94,182,209,208,205,198,179,147,101,72,157,159,163,166,169,172,174,177,182,192,186,170,155,137,121,128,106,74,117,183,192,187,171,138,102,71,52,45,114,115,117,118,118,118,118,119,138,185,190,178,167,147,129,127,100,72,101,129,128,118,97,70,56,49,43,41
24,130,134,139,142,144,146,148,150,151,151,153,153,153,153,154,154,153,152,152,152,151,151,150,150,149,149,147,145,131,135,140,143,144,147,149,150,152,153,155,155,155,155,156,154,154,154,154,153,152,152,150,151,150,149,148,147,132,137,140,142,148,148,150,151,152,154,155,156,156,155,156,156,154,155,156,154,154,153,152,152,150,149,148,148,134,136,150,161,134,151,151,153,154,155,156,156,156,156,157,157,156,156,155,154,154,154,153,153,151,149,150,148,136,133,166,178,111,154,153,154,154,156,157,158,158,157,159,159,157,156,156,155,155,155,154,154,152,150,150,150,137,135,168,173,106,152,154,155,157,158,159,160,160,161,159,159,158,158,158,156,156,156,155,154,154,153,151,150,138,136,168,178,104,146,157,156,158,159,160,161,162,162,161,160,160,160,158,158,158,156,156,155,154,154,152,151,139,137,163,184,113,143,159,156,159,161,161,161,162,162,161,162,162,161,160,159,159,158,157,156,155,155,154,153,140,140,159,187,116,134,162,158,161,161,163,163,162,163,165,163,163,162,161,160,159,159,158,157,157,156,155,153,140,141,156,193,133,119,161,160,160,168,164,159,174,170,154,165,162,162,163,161,161,159,158,157,158,157,156,155,141,145,154,200,156,119,187,170,148,194,166,124,184,183,125,141,171,164,164,163,162,163,162,162,158,157,157,155,141,146,152,192,162,146,215,169,154,198,169,126,179,172,135,109,164,168,166,165,163,157,152,148,160,158,157,156,143,148,150,189,179,174,218,169,153,204,162,136,193,161,127,94,143,173,165,166,146,127,111,94,142,163,158,157,144,150,150,192,197,185,218,176,140,206,153,139,192,157,108,82,135,170,165,161,128,102,106,126,154,163,160,159,145,149,157,190,191,182,207,180,133,193,155,142,184,148,88,63,130,173,164,142,110,124,163,168,164,161,161,160,146,147,165,187,166,170,191,178,128,184,160,142,181,129,73,98,143,167,134,111,118,170,168,165,164,163,162,161,148,148,172,206,154,148,177,168,123,188,154,144,177,118,145,167,156,136,104,108,163,171,168,167,167,166,164,162,148,147,177,220,168,138,169,164,134,194,135,133,180,171,182,160,138,123,99,158,175,170,169,169,168,167,165,163,148,146,179,222,178,131,163,172,159,188,124,157,201,178,164,154,125,107,142,178,170,170,169,169,168,167,165,163,148,147,179,219,180,142,156,166,155,171,180,204,190,171,159,142,110,118,177,173,172,171,170,169,167,166,166,163,149,148,178,218,187,164,150,172,204,213,216,192,178,168,152,121,103,158,177,173,173,173,172,171,169,167,167,165,148,149,170,219,196,171,161,181,213,215,208,186,168,152,137,105,141,180,174,175,174,174,172,172,170,168,168,166,147,152,159,213,199,174,168,187,216,213,195,181,156,135,113,126,180,175,175,174,174,173,170,171,170,168,168,167,149,155,162,204,188,174,170,188,207,196,179,163,144,121,116,175,183,181,181,180,179,177,176,175,174,175,172,165,127,126,132,194,182,180,176,184,196,188,164,142,129,110,117,133,128,128,127,127,126,126,127,127,126,117,121,146,106,104,100,184,189,186,183,187,192,179,148,129,119,105,100,97,96,96,95,94,93,94,94,87,83,115,158,168,112,113,102,184,205,188,190,188,184,168,139,122,111,105,107,107,106,105,104,103,102,103,101,114,162,187,171,150,112,113,100,178,215,192,198,182,172,164,141,115,104,105,105,106,106,104,104,104,104,99,128,187,187,161,159,139
10,89,98,114,134,144,152,157,159,161,164,166,168,168,169,170,170,168,168,167,165,165,163,161,159,158,157,154,151,89,99,115,136,146,154,158,161,164,166,168,170,170,171,171,172,172,171,169,169,154,151,164,162,160,157,156,153,90,100,117,137,148,156,160,163,165,168,171,172,173,174,174,174,174,174,172,174,140,112,163,164,163,160,158,155,92,102,119,139,150,157,162,165,166,170,173,174,174,176,177,176,176,176,175,177,140,101,159,167,165,163,160,158,94,103,120,140,151,158,164,167,168,171,175,176,177,178,179,179,179,178,177,179,137,97,157,171,168,166,163,161,95,104,122,142,152,161,167,168,170,174,176,177,179,180,181,182,182,181,180,180,137,97,157,173,171,169,167,164,96,106,124,143,154,162,168,170,171,176,179,180,181,182,183,184,183,183,182,185,143,99,157,176,173,171,169,166,98,106,124,144,155,163,168,170,173,178,181,181,182,184,185,186,186,185,184,185,137,94,157,177,174,172,170,167,98,107,125,145,156,164,169,171,174,179,182,183,185,186,186,187,188,187,187,167,108,88,160,179,176,175,172,169,99,108,127,145,156,164,169,172,175,180,183,185,186,187,188,188,185,176,184,148,84,91,168,181,179,176,173,170,100,109,128,145,157,165,170,174,177,181,185,186,187,188,190,191,181,151,137,119,81,81,171,181,180,177,174,172,101,110,129,146,158,166,172,174,178,183,186,187,189,187,174,178,183,167,124,82,78,75,157,183,180,178,175,173,102,111,131,147,158,167,172,175,179,184,187,189,190,184,144,119,113,131,93,71,80,70,127,187,182,179,177,175,102,112,132,147,159,168,173,176,179,184,187,185,177,185,159,118,55,55,56,91,95,69,116,187,183,180,179,176,103,112,132,147,160,168,174,177,180,184,189,175,141,146,172,132,69,47,54,113,131,82,108,186,184,182,180,177,103,113,134,148,160,168,175,178,182,185,190,181,161,130,158,140,91,48,60,119,151,97,98,185,186,183,180,178,103,113,134,149,161,169,175,179,182,187,189,168,165,138,130,138,97,50,76,137,153,103,85,178,187,183,181,179,104,113,134,149,161,169,175,179,183,187,192,165,138,124,96,129,109,72,106,152,140,98,82,176,188,185,182,179,104,113,134,150,161,169,176,179,183,187,190,168,134,114,97,123,141,103,125,155,116,83,90,184,189,186,182,180,104,114,135,150,161,169,176,179,183,187,189,187,158,119,109,113,142,110,129,144,106,71,104,190,188,186,184,181,104,115,136,149,161,170,177,180,184,187,188,190,173,141,116,108,147,148,145,130,101,65,120,194,189,186,185,183,102,114,135,148,160,169,175,178,182,187,188,183,172,153,132,121,160,175,149,119,94,63,137,193,189,185,182,181,101,112,133,146,159,168,174,177,181,186,188,176,166,156,143,131,156,168,139,109,84,61,156,191,187,184,181,180,99,110,132,145,158,167,174,177,182,186,189,185,167,160,148,131,144,154,127,97,70,72,177,189,186,185,182,180,98,109,131,144,156,166,173,176,181,185,188,190,176,158,142,126,126,134,113,86,60,111,190,189,186,184,182,180,109,119,137,148,158,166,172,175,179,182,185,187,186,164,138,123,118,125,115,85,62,146,183,179,177,174,172,170,132,135,140,140,137,136,136,135,136,135,134,132,144,168,145,139,130,126,117,83,64,104,112,110,107,106,103,96,105,104,104,104,104,104,105,105,106,105,104,104,117,172,159,151,134,124,106,79,63,88,91,90,88,80,53,35
13,156,160,164,166,168,169,171,173,175,177,177,177,178,179,179,180,180,180,179,179,178,176,175,174,173,173,171,170,157,160,164,167,169,171,172,175,176,178,179,179,179,180,181,181,181,181,181,181,180,178,177,176,175,175,173,172,157,161,166,168,170,171,173,176,179,179,181,182,182,183,183,183,183,183,182,183,182,180,179,179,177,176,175,174,158,162,167,169,171,173,175,178,180,180,182,184,184,184,178,159,156,182,177,158,158,179,181,180,179,178,177,176,159,163,168,171,172,174,176,178,180,181,183,185,185,186,173,141,115,141,154,128,98,139,184,182,181,179,179,177,160,164,168,172,173,174,178,180,181,183,184,186,186,191,190,156,130,95,128,132,97,94,180,184,182,181,180,178,161,165,170,172,174,176,179,181,183,184,185,186,187,190,196,164,130,85,106,130,101,78,172,186,184,182,181,179,162,166,170,173,174,177,181,183,184,186,187,188,188,190,187,163,123,86,82,110,89,70,167,187,184,183,183,182,162,166,170,174,176,178,181,184,185,187,188,187,183,189,177,161,122,93,74,101,85,71,169,188,185,185,184,182,162,167,172,175,176,179,182,184,187,189,190,177,139,129,130,150,145,111,82,112,98,78,176,189,187,186,184,182,163,168,172,175,177,180,182,185,187,189,193,169,124,104,96,141,168,128,87,105,98,67,153,191,188,187,185,184,164,168,173,176,178,181,183,185,187,184,171,161,135,122,92,95,149,116,79,87,82,69,102,185,190,188,187,186,164,169,174,177,179,182,185,185,188,170,122,119,149,133,107,57,61,57,69,84,84,91,84,146,193,189,187,186,164,169,174,178,180,181,184,190,197,159,120,100,138,140,116,80,34,46,62,86,109,111,95,99,187,191,188,187,164,169,174,178,180,182,185,197,178,152,132,117,109,137,122,99,50,61,99,114,126,117,100,79,173,193,190,188,165,170,175,179,180,182,187,198,160,143,138,119,99,119,119,92,55,67,132,150,142,109,94,79,174,193,190,189,166,170,175,180,181,183,187,196,163,124,119,110,92,78,94,72,57,82,145,152,144,111,80,90,187,193,191,189,166,171,176,180,182,183,188,189,171,141,110,90,67,45,74,83,75,118,162,150,137,107,71,113,196,194,192,189,167,172,176,180,182,184,187,190,185,161,128,101,82,74,86,97,110,166,169,144,125,101,67,142,198,195,193,190,167,172,177,181,182,186,187,188,184,170,145,128,108,107,120,142,163,177,160,135,113,92,70,168,197,195,193,192,166,172,178,181,182,186,187,188,180,164,147,127,108,110,130,174,175,165,146,125,104,81,80,188,198,195,194,192,166,172,177,181,182,185,188,190,171,155,145,127,113,115,124,163,169,157,135,113,95,70,101,198,198,197,194,193,166,172,177,182,184,186,189,193,175,157,146,132,124,119,121,157,164,152,126,100,84,61,140,202,199,197,195,193,167,173,178,182,183,186,188,193,188,160,148,139,127,115,114,142,153,139,111,86,69,76,184,200,199,196,195,193,167,173,179,181,183,185,188,192,194,179,153,139,124,113,109,127,139,126,100,80,59,130,201,200,198,196,195,194,168,173,179,182,183,186,189,192,194,194,169,141,122,112,111,119,131,123,98,78,69,176,202,200,199,197,195,193,167,172,178,181,183,184,188,191,193,192,179,152,135,129,130,127,129,123,93,72,100,196,200,198,198,196,195,193,165,171,176,180,181,183,187,190,192,187,183,161,149,145,139,133,129,117,89,69,129,201,200,197,196,195,194,192
4,108,109,112,113,114,116,119,123,124,126,127,128,129,132,134,134,136,137,139,140,141,141,140,139,141,142,144,145,107,110,112,115,115,119,120,123,125,127,127,129,131,130,133,135,136,138,139,140,141,141,143,144,144,144,144,146,108,111,114,115,118,119,121,124,125,126,127,130,134,131,129,131,139,137,139,138,141,143,144,146,145,146,146,146,108,111,116,117,118,119,122,124,127,135,129,117,120,150,135,105,98,142,137,145,143,142,145,146,146,145,147,148,109,113,116,120,120,118,119,123,127,138,149,126,70,113,145,97,56,82,110,92,134,146,146,148,147,147,148,149,111,115,116,119,118,122,157,143,117,71,134,128,64,71,132,85,44,51,95,46,79,158,146,148,149,148,148,148,112,115,118,121,114,143,186,156,103,54,107,125,67,48,127,118,39,53,101,59,65,156,146,148,150,150,149,150,112,114,119,123,117,159,147,161,112,61,79,143,84,22,120,136,49,52,127,65,62,161,145,149,151,152,151,152,114,117,120,121,120,171,128,126,140,84,36,141,95,0,71,150,103,72,100,72,73,132,152,149,152,152,152,153,115,118,120,120,127,169,129,106,97,63,10,55,68,0,28,135,114,96,87,92,93,73,147,152,152,153,154,154,116,119,123,118,136,166,136,116,92,69,57,32,64,49,46,99,119,115,99,83,96,90,112,160,151,154,155,156,118,119,124,115,161,165,129,100,91,76,56,61,89,67,79,95,108,100,77,102,136,107,82,157,153,155,156,157,117,120,124,121,174,153,123,95,78,58,53,69,90,80,97,119,97,58,97,155,141,123,74,144,159,156,157,157,118,123,121,132,185,150,124,96,82,64,61,73,84,97,107,126,127,132,128,128,125,116,74,116,165,156,157,156,119,123,120,139,189,152,130,106,80,66,62,77,95,111,115,131,151,149,137,124,104,86,65,78,166,157,157,157,120,123,118,148,194,153,135,115,85,67,69,73,99,119,140,148,152,142,136,119,100,78,52,59,164,158,159,158,123,126,115,155,195,152,140,119,100,82,79,77,110,142,159,157,147,133,127,115,94,73,47,68,168,159,161,159,121,127,116,160,197,162,147,131,116,90,84,103,125,161,166,157,147,131,115,104,84,68,38,117,170,157,161,163,125,129,119,155,199,172,155,141,130,111,96,122,130,155,161,153,145,130,110,90,67,47,57,163,161,159,162,163,126,126,122,144,203,180,163,144,136,122,110,121,135,155,159,147,144,133,109,82,58,32,123,169,159,161,161,162,124,127,126,131,202,185,161,141,131,120,117,123,138,157,157,140,136,133,107,90,47,73,169,159,160,161,161,163,127,127,128,125,199,186,154,146,136,128,128,131,145,151,144,134,123,119,110,85,46,147,167,162,163,161,163,164,125,128,128,126,201,179,153,159,148,140,136,133,141,145,129,123,113,109,103,54,111,171,160,163,162,162,163,165,126,128,126,133,202,166,161,167,155,152,145,133,138,140,126,115,105,93,63,91,167,162,161,163,162,163,164,165,127,129,123,142,201,179,166,161,155,158,150,131,129,131,122,107,92,62,72,167,161,162,162,163,164,164,165,166,125,128,122,152,204,190,161,154,157,164,150,122,120,119,114,97,78,42,139,165,159,162,163,163,164,164,164,165,125,128,120,164,201,191,161,151,159,158,142,120,110,114,108,88,53,73,172,157,160,161,163,163,164,164,164,165,126,130,120,172,202,191,158,149,155,153,136,118,107,119,101,79,39,117,170,160,160,163,165,164,164,164,164,165
1,90,25,63,77,83,91,109,125,135,141,146,149,151,154,158,161,168,165,168,170,172,173,173,175,176,174,176,177,81,25,69,77,84,93,112,126,137,143,147,149,153,155,165,160,131,169,173,171,172,174,174,176,176,177,177,177,69,28,74,78,86,96,117,130,138,144,150,152,154,154,180,162,89,151,153,173,174,176,176,177,177,177,177,177,57,34,76,78,87,97,119,133,139,145,151,152,161,153,170,158,101,150,108,165,178,177,179,179,179,179,179,179,46,40,77,80,89,100,122,133,141,148,153,150,180,141,148,152,108,164,108,155,183,177,180,180,181,180,180,181,35,47,78,81,90,103,124,135,142,148,153,154,186,130,156,154,113,165,108,144,186,178,181,182,182,181,181,182,27,54,78,82,91,105,126,136,142,148,155,159,189,116,152,150,109,170,117,140,187,179,182,183,184,184,184,184,25,62,80,84,93,109,128,137,145,149,172,141,175,110,155,151,109,160,114,137,190,182,185,185,185,186,185,186,27,67,80,85,95,111,129,138,143,162,166,122,164,114,179,151,107,170,122,131,193,184,187,187,187,187,187,187,31,71,81,86,94,113,130,140,142,181,147,117,157,120,187,140,114,193,129,132,193,185,188,188,188,188,189,189,36,74,81,88,97,117,132,141,148,192,127,134,163,119,165,115,113,186,118,137,194,187,190,190,190,190,191,191,41,77,81,89,99,118,134,140,158,192,110,133,144,104,153,101,129,180,109,140,195,188,192,191,192,193,192,192,47,79,81,90,99,118,134,136,170,191,106,119,151,144,142,164,170,170,108,144,196,190,192,193,193,193,193,194,53,81,83,91,101,122,136,137,185,174,117,124,175,162,140,166,157,156,104,141,200,190,194,195,194,194,194,194,59,82,84,92,103,124,135,140,197,183,165,159,186,178,166,150,139,132,98,141,201,191,194,195,196,196,196,196,63,81,84,92,104,126,132,155,208,167,159,162,152,152,186,183,162,137,95,139,201,192,195,197,198,198,198,198,69,81,87,93,105,128,128,177,200,146,127,123,98,121,183,180,174,156,104,132,203,192,195,197,198,199,199,198,74,81,88,95,108,131,130,190,191,146,143,149,139,183,193,182,159,141,101,104,201,196,198,199,199,200,200,200,77,82,88,95,110,132,132,189,198,161,147,152,187,218,198,175,146,113,97,82,182,202,199,200,200,200,201,200,78,81,88,95,111,131,132,182,209,176,158,152,187,221,199,165,140,103,87,79,179,204,199,201,202,201,201,201,81,82,90,96,112,130,134,172,210,177,162,153,178,213,191,160,129,104,81,97,199,200,201,203,202,203,203,203,81,83,91,98,115,132,138,162,203,174,168,157,164,199,183,155,122,103,75,144,209,200,203,203,205,205,205,205,81,83,92,98,116,132,141,153,193,180,177,167,181,192,165,138,112,95,85,185,204,204,204,204,206,206,207,205,80,84,91,99,117,132,141,150,178,180,173,161,170,177,148,123,108,85,106,204,202,205,205,206,206,207,208,207,81,84,90,97,117,131,142,150,165,177,168,160,146,150,138,118,109,79,124,209,202,205,206,208,208,208,207,208,80,84,90,96,116,129,140,150,155,176,170,156,148,147,147,129,108,77,150,207,199,203,206,206,207,207,207,206,81,82,88,96,117,128,139,146,175,181,173,170,159,149,140,128,101,74,164,207,199,203,205,206,207,207,207,207,80,81,87,96,117,128,140,149,198,193,150,172,161,145,122,111,99,69,148,208,198,204,206,207,208,207,207,208
7,216,218,219,221,222,223,225,226,226,227,227,227,226,227,226,227,228,229,228,227,228,226,225,224,223,220,218,218,218,219,221,223,225,226,226,228,228,228,229,230,229,229,230,230,230,231,229,230,229,228,227,226,225,224,222,221,218,221,223,224,226,227,229,230,230,231,231,231,232,232,233,233,232,232,231,232,232,230,229,228,227,226,225,223,220,223,225,227,228,229,230,232,233,232,233,233,234,234,233,233,233,234,233,232,233,231,231,230,229,228,227,226,222,226,228,229,230,231,232,233,233,234,234,234,233,236,235,235,235,235,235,234,234,234,233,231,231,231,229,227,224,227,229,231,232,233,234,235,235,236,236,235,236,237,237,237,237,237,237,236,235,235,234,233,232,232,232,229,226,228,231,232,232,234,237,237,238,237,239,238,238,238,239,239,239,238,238,239,238,237,237,235,235,233,234,233,226,229,231,233,234,236,237,238,238,241,239,239,241,240,239,240,241,240,240,240,240,238,239,234,233,235,233,232,227,230,232,234,234,236,237,242,247,249,226,204,220,232,234,232,234,239,237,237,233,236,229,240,248,232,234,232,230,232,232,235,238,245,248,248,251,250,242,201,184,210,221,220,222,216,214,221,219,227,216,236,225,223,239,234,230,234,243,249,251,250,247,245,238,235,231,198,176,190,207,216,216,212,210,207,203,210,199,196,191,226,235,235,245,253,252,251,248,242,236,227,221,228,237,210,176,168,174,186,201,212,205,203,211,210,204,215,213,214,231,222,255,255,247,242,235,231,226,224,227,234,240,215,180,178,178,171,169,161,174,183,184,190,185,188,196,196,195,217,255,251,242,231,222,218,216,219,224,234,223,196,174,173,186,194,186,162,183,239,231,225,222,221,220,221,229,244,252,248,242,229,221,218,219,215,212,224,229,202,165,154,172,183,184,181,166,246,253,251,252,251,249,248,247,243,247,245,242,234,229,223,224,223,220,226,237,212,180,180,184,173,174,155,192,255,247,249,249,247,246,246,245,244,242,238,236,235,233,228,224,221,221,226,230,211,188,193,195,185,181,165,246,253,250,252,250,249,249,247,247,246,227,224,228,232,233,231,224,219,218,217,202,191,177,171,178,183,160,213,255,249,251,252,251,250,250,250,249,249,142,151,179,214,233,226,215,206,196,185,178,168,133,116,135,165,163,246,255,252,252,252,251,249,247,247,253,224,86,84,91,115,160,192,180,186,194,210,234,246,168,129,153,169,221,255,253,254,253,251,248,252,255,255,217,152,87,82,79,75,76,89,203,249,254,255,255,255,243,203,227,246,255,255,255,254,252,252,255,244,207,188,149,130,80,76,73,76,60,113,255,252,253,253,254,253,255,255,255,255,254,255,255,254,255,255,221,165,145,136,127,115,75,72,69,71,55,117,255,250,253,254,255,255,254,253,254,254,255,255,255,255,254,182,125,123,139,128,121,115,72,74,71,72,48,110,255,252,255,255,255,255,255,255,255,255,255,255,255,255,206,142,115,98,116,116,110,113,79,82,78,69,39,101,251,239,245,247,248,249,251,251,252,254,254,255,253,180,129,149,114,89,95,110,104,106,89,84,71,51,45,76,165,162,165,167,169,172,176,176,178,181,179,184,183,133,110,143,111,83,86,96,97,98,96,78,55,48,49,93,158,148,148,150,149,150,150,150,151,149,148,165,164,123,103,135,107,81,84,90,92,94,89,61,50,56,50,118,168,158,160,162,161,160,160,159,159,157,161,150,134,119,101,127,100,83,80,86,88,90
6,144,146,148,151,152,154,155,154,153,153,154,155,154,153,153,152,153,152,152,151,149,149,149,149,147,146,145,144,145,147,150,151,153,155,155,156,157,157,157,156,157,156,155,154,154,154,152,151,150,151,151,150,151,150,145,144,145,148,151,152,155,157,158,158,160,158,158,158,158,157,155,155,155,154,152,153,152,153,152,151,151,150,146,145,144,147,151,153,155,158,158,158,158,158,158,158,158,158,158,157,156,155,154,154,152,153,153,152,151,151,149,147,146,149,151,154,156,157,158,159,159,159,160,160,159,157,156,155,155,155,158,157,156,158,156,155,153,151,150,149,146,150,151,154,157,157,159,160,159,159,156,151,144,134,113,114,123,129,127,129,130,126,139,143,151,153,151,150,147,151,153,154,157,157,155,160,160,162,159,153,149,135,113,114,129,136,122,124,106,98,152,132,110,157,150,151,148,151,153,158,162,151,156,168,170,171,165,155,145,130,114,111,124,133,128,125,121,106,140,120,90,156,151,151,150,153,153,184,171,151,153,155,151,141,132,127,116,113,96,69,65,83,90,95,100,96,100,102,136,157,152,152,151,153,156,195,169,148,140,133,139,145,145,137,122,118,124,87,66,139,137,140,141,145,147,153,159,155,153,152,152,152,159,174,142,137,142,148,157,163,156,143,134,129,128,99,61,164,167,165,165,163,162,160,158,156,155,152,152,150,181,172,135,134,140,148,159,163,160,150,139,125,107,80,47,126,169,160,161,160,159,159,160,158,155,154,153,153,183,154,136,132,135,139,145,148,149,142,126,117,101,55,47,90,170,160,162,162,161,160,160,160,158,155,153,157,168,137,150,147,145,144,150,158,159,141,116,118,120,55,43,78,165,163,163,163,162,161,161,159,157,156,153,155,166,166,166,153,156,157,166,170,153,134,122,123,109,64,49,72,160,166,166,165,162,161,160,158,158,156,154,152,169,198,174,149,153,154,157,155,147,135,127,110,82,63,59,77,166,166,166,166,163,161,160,160,159,158,152,151,173,193,170,149,146,134,120,116,119,115,109,94,55,53,67,136,171,165,164,164,165,161,159,158,157,156,152,150,172,177,168,154,136,117,111,128,139,130,129,134,70,33,77,164,166,165,163,162,163,161,160,157,155,153,155,152,173,167,181,160,136,137,158,166,146,127,118,126,81,45,104,170,164,164,163,163,161,161,160,158,156,153,154,152,173,165,175,158,139,141,151,151,133,121,111,97,72,60,124,174,164,164,163,162,161,161,160,159,157,156,152,145,167,170,162,149,142,141,144,138,128,109,91,70,55,65,144,168,165,165,165,164,162,161,160,159,158,157,156,146,159,169,167,149,139,133,125,106,90,70,56,69,108,139,167,163,166,166,164,165,165,163,162,161,160,150,142,135,154,166,153,136,122,110,92,70,58,39,59,130,161,159,155,155,156,156,154,155,156,155,156,155,144,188,65,70,146,155,129,117,110,101,70,57,61,60,68,70,70,68,69,69,69,69,66,67,68,68,70,59,173,242,63,66,142,144,116,119,112,88,64,59,67,74,59,55,55,53,54,54,54,52,51,50,50,50,36,155,245,231,63,75,146,133,115,129,110,75,61,58,73,69,60,61,61,61,58,64,71,65,65,69,68,43,157,245,235,231,58,85,153,130,119,128,106,76,59,59,80,66,61,61,60,59,58,60,62,60,60,65,44,137,245,237,232,224,58,100,156,126,114,118,91,66,57,66,79,63,62,61,60,58,58,58,59,59,63,50,104,242,235,239,223,218
19,169,172,174,174,175,178,178,176,177,179,178,178,178,178,176,174,179,177,173,173,173,172,172,172,170,170,170,169,172,173,175,175,176,178,179,179,180,180,180,180,180,178,179,171,138,159,179,174,175,174,174,173,172,171,171,170,173,174,176,178,179,179,181,181,181,181,181,182,182,178,193,169,117,101,183,177,177,176,175,174,173,173,172,172,174,176,178,180,181,181,183,183,184,181,182,184,182,184,201,169,134,86,172,180,179,178,177,178,174,173,174,174,175,178,181,181,182,183,184,184,184,184,184,185,182,190,199,164,128,80,172,183,180,180,177,175,178,175,175,176,176,179,181,182,183,186,187,185,185,185,184,187,182,195,194,143,109,74,169,179,175,171,175,198,162,173,178,177,178,180,182,184,185,187,187,187,187,187,186,186,182,192,189,150,143,157,183,171,182,177,189,230,124,165,180,177,180,181,184,187,187,187,187,187,187,188,185,190,193,191,183,180,189,205,197,177,175,176,152,129,130,181,179,179,181,182,186,188,188,190,188,188,186,193,202,213,216,204,184,162,156,148,144,124,114,113,122,145,181,181,179,180,184,186,187,188,190,190,193,195,195,210,214,211,201,187,180,177,166,99,99,130,155,168,185,191,183,184,182,181,186,187,188,190,190,196,214,205,202,197,200,199,196,196,193,191,181,99,137,202,190,189,185,185,185,184,183,181,188,188,189,191,188,207,223,209,200,199,206,208,210,201,192,186,155,88,110,198,185,187,187,185,185,185,185,182,188,189,192,194,190,206,217,196,190,202,211,213,200,191,193,195,177,93,78,188,189,188,186,186,185,186,186,183,188,190,193,195,192,207,207,190,192,195,189,188,194,204,193,196,188,101,60,153,197,186,188,188,186,186,186,185,190,192,194,196,195,213,192,193,195,184,172,199,203,191,184,184,156,96,58,125,202,189,190,189,187,186,186,186,192,193,194,196,197,206,202,206,203,205,209,209,196,188,179,166,135,87,58,104,203,191,192,190,189,188,188,187,193,195,196,199,199,199,224,213,204,204,206,194,180,172,184,197,188,111,46,134,204,191,193,192,190,189,188,188,195,195,198,200,201,196,220,218,197,192,174,141,168,206,203,190,188,118,75,193,197,195,193,193,192,191,191,189,195,198,200,199,203,198,201,211,195,190,179,187,211,201,178,165,156,103,70,185,199,195,195,194,194,193,192,191,195,198,200,201,202,201,198,207,217,209,201,204,197,179,167,152,130,80,78,195,197,195,196,196,196,195,193,191,197,199,201,203,204,203,200,203,217,202,185,189,180,165,141,106,75,84,175,202,197,198,197,197,196,196,195,194,199,202,202,203,206,207,196,203,205,194,175,169,146,122,92,65,47,162,213,198,199,197,197,198,196,196,195,195,199,202,203,205,206,208,197,201,201,186,164,150,132,104,79,65,104,211,199,201,200,200,200,199,197,196,195,195,198,201,204,207,207,208,198,190,197,181,155,144,142,104,79,68,118,215,201,203,203,202,202,201,200,197,197,196,199,201,204,207,207,210,198,185,187,180,151,134,108,87,80,73,80,204,205,203,203,203,202,201,201,199,197,196,199,201,203,205,206,209,196,184,177,178,166,145,110,90,83,74,78,200,205,202,202,201,201,200,200,197,195,194,199,202,203,205,206,210,188,187,184,173,160,147,114,91,83,72,87,205,203,203,202,201,200,200,199,198,196,195,199,202,204,206,206,212,182,197,203,189,156,126,101,84,81,64,133,213,202,203,203,201,201,202,201,199,196,195
14,163,165,168,170,170,170,173,173,173,174,175,173,174,174,173,172,171,170,170,169,168,168,167,165,164,164,162,162,165,168,169,171,172,173,175,176,176,177,177,176,178,177,177,176,175,173,172,172,171,171,169,168,166,166,166,164,168,170,171,174,175,176,177,178,177,179,179,178,180,181,178,179,177,176,175,174,173,171,171,171,169,169,168,167,169,171,173,176,177,178,181,180,181,181,181,182,179,179,180,182,181,178,177,178,177,175,174,173,171,170,170,169,170,173,175,177,178,181,184,184,184,184,183,183,195,171,162,172,171,184,181,179,179,177,176,174,173,172,172,171,171,174,177,179,180,182,184,185,184,185,188,203,195,175,159,156,141,151,182,182,180,179,179,178,177,176,175,174,175,177,179,182,184,184,185,187,188,189,206,203,196,180,184,168,136,105,117,192,182,183,181,179,178,177,176,176,178,179,181,183,186,186,185,189,187,200,209,205,181,91,160,160,151,112,53,132,194,182,183,181,180,179,178,177,179,180,182,184,186,189,187,190,195,213,174,125,112,70,65,80,167,157,60,71,183,186,184,183,182,180,180,179,180,182,185,188,190,192,191,209,223,207,156,98,56,52,43,23,138,187,116,64,166,193,185,185,184,182,181,181,183,185,186,189,193,190,201,224,207,165,132,106,69,30,52,28,74,137,114,63,135,199,186,187,185,184,183,183,184,186,188,191,192,190,223,218,190,133,76,73,61,44,32,66,175,154,156,104,107,201,187,189,188,186,185,184,184,185,189,193,187,219,230,205,189,132,79,45,47,31,87,188,200,190,165,83,105,202,190,192,188,188,187,185,185,189,194,186,211,235,212,204,168,116,90,51,33,65,200,205,193,172,152,73,92,206,192,194,193,191,190,188,188,192,190,199,239,226,214,197,161,129,85,33,19,103,186,205,197,157,143,80,52,170,201,194,195,193,192,190,191,195,189,228,241,224,208,186,158,113,69,34,49,55,60,182,172,136,133,98,64,124,211,195,197,194,193,192,193,191,206,244,234,218,200,182,134,90,52,57,82,84,79,87,116,149,137,94,65,166,206,198,197,195,195,194,192,191,232,238,224,209,190,164,114,89,57,87,100,103,109,92,107,140,123,64,141,211,199,200,198,198,197,196,193,211,244,227,215,196,183,153,115,89,77,100,105,109,101,107,101,131,78,113,211,200,202,200,199,199,197,196,168,241,242,219,201,191,171,149,123,84,85,105,105,103,89,110,94,67,100,210,206,204,204,202,200,200,199,197,70,151,227,209,178,163,146,132,92,77,84,93,100,92,87,88,49,85,202,210,205,205,205,204,202,201,200,199,73,60,102,159,172,135,100,66,54,70,70,78,89,79,64,88,145,208,213,206,208,206,205,205,204,203,201,200,64,67,58,69,83,77,62,49,49,54,54,52,53,59,121,208,223,212,210,210,208,208,207,206,205,204,201,200,61,59,63,63,18,17,28,24,22,25,17,61,120,170,222,215,212,212,212,212,211,209,208,207,206,205,203,202,58,58,54,63,50,1,19,16,11,12,4,36,204,229,212,215,216,214,213,213,212,210,209,208,207,206,205,204,56,53,51,56,55,2,8,13,11,11,6,17,195,221,215,217,216,216,214,213,213,211,211,209,208,207,206,205,45,49,45,53,56,0,5,9,8,11,0,91,237,215,219,218,217,216,215,215,214,212,212,211,209,207,206,206,58,90,36,58,38,0,6,6,5,8,0,147,234,215,219,219,218,216,215,215,215,213,213,212,211,208,208,207
11,93,97,103,109,114,117,121,125,127,129,130,135,145,122,136,134,134,135,134,134,134,133,132,133,115,137,147,151,96,102,109,115,118,122,126,129,133,135,133,140,161,89,133,139,137,136,135,134,134,133,133,129,129,151,153,157,100,105,114,121,125,128,133,136,138,140,140,146,182,84,116,148,140,140,139,139,138,137,135,131,150,102,149,161,104,110,119,125,130,133,138,141,144,147,146,153,185,81,104,156,145,145,144,143,143,141,139,137,139,143,163,158,108,114,124,131,135,139,144,149,151,153,152,161,179,75,107,161,150,151,150,149,148,147,145,142,141,146,121,152,111,117,129,136,141,145,150,154,157,159,158,170,185,79,114,168,156,157,157,155,154,152,149,146,146,137,120,156,114,121,133,141,146,151,156,159,162,166,161,191,177,62,128,173,163,163,163,161,160,157,154,152,150,148,146,161,117,126,139,146,151,155,160,165,168,172,166,206,177,60,147,176,169,168,169,167,165,163,160,157,155,152,150,170,121,129,143,150,155,160,165,170,173,173,176,184,113,66,154,180,173,173,172,172,171,169,167,163,161,158,154,173,125,133,146,153,160,165,169,174,177,173,208,179,79,61,160,184,177,177,177,177,175,174,172,168,165,162,159,174,128,136,149,158,163,168,174,175,182,182,124,143,114,70,170,186,181,181,181,180,179,177,174,173,169,168,163,172,130,140,153,161,166,172,175,185,221,179,72,71,129,80,161,192,185,184,184,183,182,180,178,174,179,149,81,184,132,143,156,164,169,172,185,145,146,157,112,68,118,83,139,197,186,188,188,187,185,184,184,180,188,98,37,106,134,146,158,166,169,190,204,135,70,95,142,81,87,89,109,200,188,191,191,190,184,173,160,158,150,60,49,39,136,148,160,167,193,197,167,162,129,71,111,90,68,103,77,190,195,194,188,180,180,161,140,139,114,61,48,48,138,151,160,194,199,136,94,135,157,88,67,80,58,128,101,159,202,186,186,186,185,157,129,109,85,51,42,44,139,152,164,204,176,117,82,63,142,92,59,84,44,119,137,86,153,191,196,176,140,105,65,36,35,36,33,41,140,154,164,193,153,96,69,41,112,103,64,98,48,79,127,94,155,186,167,117,75,50,27,30,31,28,34,30,141,155,162,183,149,101,77,57,77,110,74,111,76,128,139,117,147,141,97,48,27,43,39,21,26,28,38,7,140,155,162,187,168,119,89,69,66,86,100,127,121,173,137,98,110,73,26,36,25,27,42,32,16,19,20,16,142,156,164,191,173,129,106,77,78,88,146,187,190,161,116,93,65,35,19,24,35,21,28,37,25,17,15,17,144,158,166,190,179,145,115,84,93,98,172,196,174,140,100,75,12,19,38,14,29,32,20,24,32,17,15,16,136,148,157,183,178,152,119,96,103,102,165,182,149,114,89,61,12,3,35,28,16,31,27,17,22,25,9,15,93,96,90,135,177,159,127,112,108,105,144,169,140,104,78,40,30,0,21,35,23,20,27,20,13,24,13,7,93,94,91,104,167,162,134,123,111,99,132,151,129,94,45,11,40,1,5,32,29,23,21,20,11,15,19,5,95,95,96,98,165,160,139,127,111,87,115,118,97,61,14,4,37,18,0,22,32,22,20,18,13,10,12,12,95,96,97,97,166,169,143,125,107,89,96,97,63,11,16,10,27,33,0,5,31,25,17,20,16,11,7,8,94,96,98,88,153,168,128,111,101,91,93,83,44,8,0,14,19,37,12,0,20,27,15,17,17,10,9,4
21,198,200,203,208,211,213,212,214,215,219,219,216,218,217,217,219,218,218,217,216,216,216,216,214,212,212,210,209,201,203,206,209,211,213,216,217,218,218,217,219,218,219,221,222,220,219,219,218,219,218,216,216,215,212,211,211,202,206,208,210,213,215,218,218,219,217,255,221,191,225,224,224,224,223,222,221,221,220,219,218,217,216,215,213,206,208,211,214,217,217,219,220,223,220,255,249,165,211,229,225,225,225,226,226,225,224,223,224,220,219,218,215,208,211,214,216,219,221,221,225,227,220,243,255,178,179,234,226,228,229,228,228,226,226,227,212,223,221,221,217,210,213,216,219,221,225,225,226,227,226,227,255,236,180,221,230,230,231,231,232,226,243,232,151,217,226,224,222,212,214,217,221,224,227,226,228,229,231,223,255,255,192,195,238,233,233,233,234,226,255,216,141,222,228,226,225,214,217,220,224,228,229,229,231,232,233,229,255,255,205,173,236,235,233,235,230,243,255,189,164,237,227,228,228,215,217,222,225,228,230,231,233,233,234,234,240,255,228,170,225,239,235,237,233,255,255,169,197,241,230,230,229,218,220,224,226,229,232,233,233,235,236,236,255,255,249,166,206,246,239,235,244,255,225,150,224,237,233,234,231,219,223,226,228,232,234,235,234,235,231,251,255,255,246,174,147,240,242,237,255,255,184,165,245,234,235,235,232,222,225,227,231,234,235,236,238,237,255,255,255,255,243,210,170,197,246,250,255,250,159,213,246,237,237,237,234,223,226,230,234,235,235,238,240,244,255,255,234,255,255,255,251,184,186,235,243,203,158,246,241,241,238,236,235,226,229,232,235,236,239,242,238,255,255,255,248,193,197,255,255,194,132,178,194,148,195,253,241,244,241,238,236,227,232,235,236,240,242,245,239,255,255,196,171,121,109,206,255,214,145,138,154,134,233,248,243,244,243,240,240,228,233,236,237,242,244,247,241,255,251,197,198,160,137,153,255,250,174,124,126,149,252,246,246,244,244,241,240,231,234,237,240,243,245,247,242,255,255,250,209,163,170,158,255,255,199,133,107,173,255,247,249,247,246,244,243,233,235,239,242,244,246,248,245,255,255,219,184,167,193,193,255,255,226,158,104,181,255,248,249,249,248,247,245,234,237,241,242,245,247,250,250,255,255,211,195,203,213,232,255,255,234,177,116,180,255,249,251,250,249,247,248,235,239,242,244,247,249,251,251,255,255,238,223,221,226,255,255,255,229,181,116,183,255,250,253,252,251,250,249,234,239,243,244,246,248,251,250,255,255,252,223,237,246,255,255,255,220,186,122,182,255,252,255,254,253,252,250,235,239,243,243,246,249,253,249,255,255,255,229,238,255,255,255,255,220,180,121,193,255,252,254,253,252,251,250,237,240,243,245,247,251,253,249,255,255,255,249,242,255,255,255,255,215,175,119,201,255,252,254,255,253,251,249,237,241,243,246,250,252,255,252,255,255,255,255,255,255,255,255,255,214,168,115,198,255,255,255,255,255,254,253,238,241,243,249,251,252,255,254,255,255,255,255,255,255,255,255,242,208,155,110,199,255,255,255,255,255,255,250,238,242,245,250,253,255,255,255,255,255,255,255,255,255,255,239,225,205,148,106,211,255,255,255,255,255,255,169,241,245,249,254,255,255,255,255,255,255,255,255,248,228,243,230,218,209,139,105,244,255,255,255,255,204,144,108,216,223,228,231,235,237,242,250,230,244,255,255,224,199,218,233,211,198,114,128,255,255,255,255,169,116,109,101
0,188,190,192,194,195,197,201,200,202,203,203,203,204,206,208,206,209,209,208,209,209,209,209,209,210,209,209,209,190,192,195,197,198,199,202,203,203,204,205,206,206,209,210,209,210,210,210,210,211,211,211,211,211,210,211,210,189,192,195,199,201,201,203,205,205,208,208,208,210,211,210,209,212,213,211,210,211,213,212,213,213,212,211,212,190,193,196,199,201,202,204,206,207,211,209,211,211,210,210,213,214,212,212,212,214,215,212,215,215,214,214,216,193,196,198,200,201,203,205,208,209,209,213,214,213,220,225,208,208,221,234,208,211,239,189,210,219,217,218,216,196,198,200,202,203,207,207,208,207,222,247,207,185,246,236,190,166,235,241,200,176,239,188,181,224,215,216,217,196,199,202,204,206,208,209,214,209,253,248,218,155,205,233,207,153,179,239,209,154,206,214,161,213,219,217,220,199,201,202,205,208,207,241,231,193,249,241,230,172,190,234,217,164,178,242,212,143,160,225,179,164,204,224,219,200,202,204,207,201,228,255,234,189,224,249,228,189,189,235,222,162,191,241,198,148,106,207,204,181,150,201,225,198,203,205,207,202,249,255,244,208,204,250,225,190,180,244,227,148,192,234,174,133,66,170,222,203,142,177,234,201,204,207,206,215,254,255,255,220,187,246,227,183,177,248,221,139,150,195,159,103,82,210,232,209,147,195,232,202,204,207,202,230,243,233,255,222,174,229,223,176,164,231,203,141,112,163,151,73,137,241,230,200,147,222,229,204,207,209,203,249,249,228,230,184,136,194,201,166,135,176,171,132,102,168,145,113,217,237,219,163,159,234,227,204,208,208,222,255,240,197,207,156,113,167,179,158,108,139,157,99,133,211,213,220,220,215,192,146,184,236,228,206,210,202,235,255,242,204,187,172,128,150,188,167,91,116,155,176,239,246,235,219,194,179,165,139,197,234,229,210,213,206,227,255,252,230,193,174,145,153,208,163,88,140,235,255,249,241,227,206,179,157,150,128,217,234,231,211,213,210,229,255,255,240,220,194,176,182,197,180,200,255,255,253,241,231,214,188,163,151,131,172,238,230,233,210,214,210,234,255,255,247,233,221,193,199,218,243,255,255,254,247,232,212,192,169,155,136,156,235,233,234,233,210,215,210,233,255,255,255,244,234,217,213,232,248,255,255,251,239,223,198,170,152,140,133,223,237,235,235,234,211,215,212,232,255,255,255,251,240,228,221,227,244,255,250,240,231,207,178,154,142,124,196,242,233,235,235,235,210,215,217,228,255,255,255,250,233,219,218,219,234,244,236,220,209,190,158,148,119,173,245,235,237,238,237,236,212,217,218,219,254,255,253,241,226,210,212,217,226,228,212,197,179,163,146,118,156,244,237,238,238,238,237,237,216,221,224,218,248,255,248,236,223,209,218,226,228,221,201,182,155,136,104,129,237,241,238,239,240,240,237,239,197,187,186,171,174,180,165,154,149,144,157,160,155,150,136,132,123,106,116,239,243,236,240,239,241,241,239,239,151,139,140,134,119,117,115,102,95,80,75,66,59,61,57,56,62,66,97,178,238,241,240,241,242,241,240,240,141,144,141,135,129,124,117,104,95,85,80,67,62,60,57,53,52,55,55,37,166,255,238,241,241,241,240,240,151,141,143,139,131,119,114,104,91,84,76,66,59,58,54,50,52,52,57,39,193,252,239,241,241,242,243,243,165,144,145,137,131,119,113,101,87,84,74,66,60,57,54,50,49,53,42,94,254,240,241,241,242,242,244,245
24,174,176,177,179,179,180,180,180,181,181,181,182,182,182,181,181,182,181,181,181,180,179,178,173,105,33,17,20,177,179,180,181,181,182,183,183,183,183,184,184,185,185,184,183,184,184,184,183,182,181,181,160,85,38,29,25,180,181,183,183,184,185,185,186,186,186,187,187,186,187,187,186,187,187,187,186,185,184,184,161,74,38,40,49,182,183,185,186,187,188,188,188,188,188,189,189,189,189,189,189,189,188,188,188,187,187,186,173,89,42,54,52,184,185,186,187,188,189,191,191,191,191,191,192,191,191,192,193,192,192,192,191,190,189,187,186,130,49,54,38,185,187,188,190,190,192,193,193,193,193,193,194,194,194,194,194,194,194,194,193,192,192,191,189,169,72,46,31,187,189,190,192,192,193,195,195,194,194,195,195,195,195,196,196,196,196,196,195,194,194,193,192,190,107,42,26,189,191,193,193,192,188,196,196,195,196,196,197,197,198,198,198,199,199,198,198,196,195,195,194,195,149,45,32,191,192,195,195,194,155,180,199,198,199,199,199,199,199,200,199,200,200,200,200,199,197,197,196,196,179,117,113,192,193,196,196,192,146,146,201,199,200,200,200,200,200,201,201,201,201,201,201,201,199,199,198,197,185,141,177,193,194,197,198,197,159,117,189,201,201,201,200,200,202,202,202,202,202,202,202,201,201,200,199,199,186,162,193,194,195,198,200,199,176,123,155,203,201,201,201,202,203,204,204,204,205,204,185,193,202,201,201,200,196,179,155,195,197,199,200,201,194,153,120,189,203,203,202,204,197,188,204,196,178,204,166,142,194,202,202,201,197,178,131,195,198,199,200,201,202,178,132,146,200,205,203,212,197,163,186,187,135,164,180,119,177,206,202,200,189,156,127,196,200,200,201,202,203,194,168,139,167,204,202,220,216,186,156,179,144,148,189,128,177,207,202,206,180,129,108,196,199,200,200,201,203,201,184,156,152,185,202,205,222,206,149,159,164,143,184,143,175,206,203,206,147,116,159,195,198,199,200,201,202,202,196,181,183,176,185,182,197,214,162,132,166,143,190,145,155,185,199,185,117,163,203,196,198,200,201,201,202,203,202,210,200,179,161,150,154,199,175,118,141,152,190,154,113,163,185,148,135,197,200,196,198,200,201,201,202,204,205,212,211,171,149,128,122,162,179,117,131,164,174,175,123,170,160,127,182,202,200,197,199,201,201,202,203,205,206,208,218,211,173,132,130,142,172,135,127,178,138,156,167,169,131,134,201,203,201,198,200,202,203,203,204,205,207,207,217,224,211,172,131,137,163,156,123,182,145,188,182,158,117,167,206,203,202,156,159,162,166,169,173,177,181,182,197,230,225,214,161,133,161,186,167,190,200,200,162,140,128,197,206,203,202,101,101,103,104,105,105,107,107,107,128,218,220,221,192,150,142,190,226,230,221,184,149,125,118,148,154,171,185,102,103,104,104,103,103,104,104,104,104,180,216,223,211,170,146,159,216,224,201,167,137,113,126,151,177,197,209,104,102,103,103,104,105,104,105,105,103,130,211,226,213,178,150,148,194,208,182,156,119,127,199,208,206,209,218,103,102,102,102,104,104,104,106,106,106,105,183,211,189,161,142,145,170,184,163,132,110,156,185,193,205,202,207,102,103,103,102,103,103,104,106,106,106,102,159,205,175,164,153,150,162,169,148,113,121,190,173,164,182,192,195,100,101,102,103,104,103,104,105,105,104,102,144,207,191,184,170,160,163,166,138,101,131,190,181,140,155,179,190
16,132,138,142,142,146,151,155,158,161,164,168,170,173,174,176,178,179,181,182,183,184,185,187,188,188,187,188,189,134,139,142,143,147,151,156,159,162,165,169,171,173,176,177,178,180,182,183,185,187,187,189,189,189,188,189,190,136,141,142,144,147,152,157,160,163,167,170,173,175,177,178,180,182,184,185,186,189,189,189,190,190,190,191,191,136,141,143,146,149,153,158,162,165,169,172,174,177,179,181,182,184,185,187,188,189,189,190,191,192,193,193,194,137,142,144,146,151,155,159,163,166,170,172,173,177,180,180,183,185,185,188,189,189,189,191,191,193,194,195,195,139,144,146,147,152,156,160,164,168,172,171,181,179,178,190,182,182,191,189,189,190,190,192,193,195,196,196,196,141,146,147,149,153,157,162,166,170,170,181,219,202,211,217,187,163,165,191,196,193,192,193,195,195,197,197,197,141,147,147,150,154,158,163,168,163,203,221,226,224,226,214,189,165,135,130,163,190,199,195,196,197,198,199,199,142,147,148,150,155,160,164,165,187,227,226,227,225,215,202,178,145,135,116,111,126,161,197,199,197,199,199,200,144,148,149,151,157,163,161,188,228,225,226,226,213,197,185,156,134,138,117,122,114,110,137,196,201,199,201,201,143,147,150,152,157,163,159,204,225,225,227,219,200,174,153,129,131,129,120,129,119,116,107,127,198,202,200,201,143,147,149,152,158,164,162,213,226,226,215,201,182,148,125,124,111,129,127,133,124,118,116,105,133,213,203,201,145,149,151,154,159,166,164,218,228,218,190,175,147,125,116,92,76,134,129,131,126,121,114,116,107,146,198,205,146,151,153,156,160,167,163,214,228,218,191,150,117,102,62,42,75,131,128,134,125,119,116,119,108,47,106,216,148,152,152,156,161,168,163,206,228,221,188,131,109,73,33,36,75,131,136,140,122,116,118,117,71,41,119,221,148,152,153,156,161,167,165,192,228,218,170,117,94,68,46,62,77,111,153,135,121,115,119,81,51,40,161,220,148,152,154,156,162,168,169,181,228,206,149,110,102,104,82,91,90,122,174,118,119,119,89,39,56,43,188,214,149,153,154,157,162,168,169,182,225,182,125,117,121,112,107,101,93,180,164,114,120,87,30,45,51,53,205,210,150,154,154,157,164,170,168,197,224,159,125,129,122,120,123,92,151,202,149,122,91,37,42,57,38,71,215,209,151,154,154,159,165,172,167,202,223,137,150,115,80,98,98,105,215,200,147,110,65,49,55,46,34,95,224,208,152,154,155,159,165,172,166,213,207,115,172,111,89,96,81,121,228,208,163,89,61,52,43,46,33,140,224,209,151,153,155,159,165,168,176,224,151,129,185,109,107,114,98,111,220,210,172,77,54,48,41,49,36,163,222,209,150,152,154,158,165,167,180,174,134,183,172,110,117,119,117,102,180,211,175,82,41,45,46,51,39,158,223,209,151,154,155,159,166,171,173,174,181,191,161,112,122,124,123,102,93,153,126,53,40,45,48,53,42,164,223,209,151,154,155,159,166,171,175,179,179,191,155,116,121,121,103,72,47,46,46,43,47,47,48,52,42,170,223,210,152,154,156,160,166,170,175,179,181,192,148,111,113,106,73,48,51,54,54,55,53,52,49,52,37,125,228,210,152,155,156,160,167,171,176,181,182,193,154,116,104,89,61,55,63,64,65,64,59,55,51,54,38,128,228,210,152,155,158,160,166,172,177,180,185,186,139,118,106,93,74,67,72,71,72,69,63,59,53,56,37,148,228,212
7,97,104,109,109,113,117,122,125,127,128,130,132,133,135,136,137,138,139,139,139,138,139,139,138,137,137,137,136,98,104,108,109,113,118,122,125,127,129,131,132,135,137,137,138,139,140,140,141,140,141,142,140,139,139,137,137,99,105,109,110,114,119,122,125,128,130,132,133,136,137,138,139,141,141,142,142,142,141,142,141,141,141,139,138,100,106,108,110,114,120,123,126,129,131,132,135,136,139,140,141,141,142,143,142,142,143,143,142,142,141,141,140,101,106,109,111,116,120,123,126,129,132,134,136,138,140,141,141,142,143,143,143,144,144,143,143,143,143,142,140,102,108,111,113,117,120,124,127,130,132,135,137,139,141,142,143,143,144,145,144,144,144,144,144,144,143,143,141,103,109,113,114,118,122,126,129,131,133,138,138,140,142,144,145,145,146,146,146,146,145,145,145,145,144,144,142,103,109,112,115,119,121,124,130,131,133,136,137,137,142,143,143,145,147,147,147,148,146,145,146,146,145,145,144,103,110,114,114,116,126,145,146,137,139,147,147,147,144,137,133,141,137,139,138,142,148,149,148,147,147,146,146,105,111,110,116,140,158,162,153,135,128,141,150,153,150,135,136,152,139,130,123,111,132,138,147,148,148,147,148,102,110,133,156,161,158,161,151,128,122,130,139,143,142,124,123,138,129,123,118,110,121,110,148,153,149,148,148,124,153,163,160,158,160,159,141,124,122,134,152,156,159,144,140,136,130,141,134,121,116,121,130,138,150,150,149,165,164,160,166,160,160,163,150,106,96,102,121,125,128,132,136,134,136,141,144,135,132,135,120,131,129,147,149,166,166,165,166,162,166,171,145,95,79,86,76,63,80,97,106,109,111,111,115,117,117,118,113,124,115,149,151,169,167,165,166,165,167,163,118,85,81,82,84,65,47,61,140,142,145,143,140,136,130,130,128,128,142,151,150,165,164,162,164,163,165,155,111,74,76,91,92,88,71,69,152,153,153,154,155,156,155,156,155,154,152,151,150,169,168,167,169,170,175,159,103,73,62,56,87,105,84,65,131,156,151,153,152,152,151,150,151,150,151,151,150,167,167,164,158,160,161,128,96,75,74,52,60,86,86,83,139,155,152,153,154,154,153,153,153,152,152,152,151,157,155,146,139,144,133,107,94,87,77,72,65,92,114,134,152,152,153,154,154,155,155,155,154,153,153,152,152,144,136,132,130,132,113,90,85,82,84,71,70,139,154,152,151,152,153,154,154,155,156,154,154,154,154,153,152,122,123,115,103,95,94,108,115,98,96,97,116,149,147,149,152,153,154,154,155,154,155,155,154,154,154,153,152,97,95,87,88,103,122,133,139,140,140,144,147,147,149,150,152,153,154,154,154,154,154,155,154,152,152,152,152,77,72,73,91,99,95,94,95,95,95,95,95,95,97,98,97,98,99,100,98,96,95,95,94,92,92,92,90,59,73,78,75,78,76,75,73,73,73,73,73,75,75,73,71,71,72,73,74,74,74,73,73,70,69,69,69,72,77,81,82,82,83,82,82,83,83,84,82,82,82,81,84,84,81,80,80,80,80,79,78,75,77,77,70,75,77,82,82,82,83,81,80,81,81,81,80,80,79,79,84,85,83,84,80,78,77,77,77,77,74,70,100,75,74,82,83,83,82,82,81,82,82,81,81,82,81,81,80,79,79,81,79,78,77,77,78,74,82,129,150,74,69,79,84,84,84,84,83,83,84,83,83,83,83,83,81,80,80,80,79,80,78,76,75,78,146,141,124
8,131,132,133,133,134,135,135,135,135,134,133,134,134,131,131,131,130,128,128,127,127,125,123,122,121,119,117,117,132,133,134,135,135,135,137,138,137,137,136,135,135,134,132,132,131,130,129,127,127,127,126,124,122,120,118,118,134,134,135,137,136,141,140,139,138,139,139,137,137,137,135,134,133,132,132,129,128,128,127,125,124,122,119,118,135,135,136,142,127,94,139,141,140,140,140,139,139,138,137,135,134,134,133,132,130,130,129,127,126,123,120,119,136,138,137,143,111,49,120,146,140,141,141,141,140,140,140,138,136,135,135,134,132,132,130,129,127,125,123,120,138,139,140,141,88,44,120,150,143,143,143,142,141,140,140,140,140,140,137,136,137,132,131,129,127,127,126,123,139,140,143,139,78,44,137,148,146,146,146,144,142,142,141,140,134,123,137,136,123,135,132,131,129,128,127,125,140,142,144,134,64,47,148,146,147,149,138,146,147,146,147,146,107,69,66,122,83,121,137,131,130,129,127,126,141,142,144,140,71,44,143,150,149,122,81,83,143,119,94,107,110,86,40,76,74,96,144,133,132,130,129,127,143,144,147,142,82,39,137,154,135,110,97,63,85,100,66,45,100,100,63,35,73,67,143,134,135,133,130,128,143,145,147,137,79,32,112,160,127,124,112,83,62,101,75,52,100,98,64,25,57,43,97,144,133,133,132,130,143,146,148,142,110,65,80,162,121,124,125,92,54,92,94,58,87,81,45,20,42,64,42,122,139,133,132,131,144,146,148,147,134,89,62,138,112,108,130,96,52,75,104,55,60,83,59,19,34,69,32,99,144,133,133,132,145,148,148,150,137,89,86,103,98,84,125,94,58,50,94,60,45,105,85,31,48,73,34,123,141,134,134,133,146,147,149,151,148,127,121,93,98,74,102,98,52,34,84,71,29,95,82,25,67,66,46,142,139,137,134,133,147,147,150,151,153,142,119,88,69,68,89,94,58,33,50,49,3,15,29,40,82,52,67,150,138,138,135,134,147,148,151,151,155,144,100,75,55,45,60,102,91,52,21,16,52,60,56,99,93,37,92,151,139,139,136,134,147,149,152,152,154,141,115,94,66,56,53,101,104,64,38,63,109,112,98,90,82,26,114,150,139,139,137,136,147,150,152,154,154,152,131,102,67,53,50,88,90,60,46,99,116,111,101,64,52,31,139,144,140,140,138,138,148,151,154,155,154,149,135,104,76,63,53,74,109,106,108,130,118,102,89,57,21,83,154,141,141,140,139,138,150,153,155,154,154,147,138,113,89,69,59,75,134,141,143,134,110,91,80,40,31,144,148,144,142,141,140,139,151,153,155,155,155,145,132,114,90,67,66,85,140,133,128,120,96,80,69,20,93,158,145,145,143,141,140,139,152,152,154,155,156,141,126,119,94,71,72,95,133,125,123,108,86,73,48,33,148,150,148,146,145,142,140,139,152,154,156,156,159,146,129,125,96,79,74,99,124,124,119,97,76,65,22,94,162,146,147,147,145,144,141,139,151,153,155,156,158,156,137,130,106,88,70,95,118,113,106,86,66,41,33,152,153,150,148,148,146,145,142,140,152,154,155,156,157,158,147,132,107,89,73,87,108,99,88,69,50,12,108,163,150,151,148,148,146,144,141,140,152,154,155,157,158,158,150,128,107,87,77,82,96,89,72,58,19,73,166,153,154,151,149,148,146,145,142,141,152,154,155,157,159,158,150,124,105,90,86,81,88,85,67,41,36,154,158,155,154,152,150,148,147,145,144,142
8,167,169,170,170,170,171,171,172,172,171,170,170,170,168,167,167,167,165,164,164,164,162,160,159,158,156,155,154,169,170,171,171,171,172,173,174,173,174,173,171,171,170,169,169,168,167,166,164,164,164,163,161,160,158,156,155,171,170,172,173,173,177,176,175,174,175,175,173,173,173,171,171,170,169,168,166,165,164,164,162,162,159,157,156,171,172,173,178,164,133,175,177,176,176,176,175,175,174,173,172,171,171,170,169,167,166,165,164,163,160,158,156,172,174,173,179,149,92,157,182,176,177,177,177,176,176,176,174,172,171,171,170,168,168,167,166,164,162,160,158,174,175,176,177,128,88,158,185,179,179,178,178,177,176,176,176,176,176,173,172,173,169,168,166,164,164,163,161,175,176,179,175,119,87,173,183,181,181,182,180,178,178,177,176,170,161,174,172,161,171,169,168,166,165,164,163,176,177,179,170,106,90,183,182,183,184,174,182,183,181,182,182,146,110,107,159,123,159,173,168,167,165,164,163,177,178,180,176,112,87,179,185,184,159,122,124,179,156,134,146,148,126,84,117,115,135,180,169,169,167,166,164,178,180,182,178,122,83,173,189,172,148,137,105,125,139,108,88,139,139,105,79,114,108,178,171,171,169,167,165,178,181,183,174,119,76,150,194,164,161,151,123,104,140,116,94,139,137,106,70,99,87,136,180,170,169,168,166,179,182,183,178,148,107,121,196,158,161,162,131,96,131,133,100,127,121,88,65,86,106,85,159,175,170,168,167,180,182,183,183,171,129,104,174,150,146,167,136,95,115,142,98,102,123,102,64,78,111,76,138,180,169,169,168,180,183,184,186,174,129,126,142,137,124,162,133,100,93,133,102,88,144,125,76,91,114,78,160,177,170,170,169,181,183,185,186,183,164,159,133,137,115,141,137,95,78,124,112,73,134,123,70,109,108,89,178,175,173,171,169,182,183,185,186,188,178,156,128,110,109,129,134,100,77,93,92,50,61,73,84,122,95,109,185,175,174,171,170,182,183,186,186,189,179,139,116,97,89,102,141,131,95,66,62,94,102,99,138,132,81,132,187,175,175,172,170,182,184,187,187,189,177,153,134,108,98,96,140,143,106,82,105,147,150,137,130,123,71,152,185,175,175,173,172,183,185,187,189,188,187,168,141,108,96,93,128,130,102,89,138,153,150,140,105,95,75,175,179,176,176,175,174,183,186,189,189,189,184,172,143,117,105,96,115,147,144,147,166,156,141,129,99,66,123,189,177,177,176,175,174,185,188,189,189,189,182,174,151,129,110,101,116,170,177,179,171,149,130,120,84,75,180,183,180,178,177,176,175,186,188,190,190,190,180,169,152,130,109,107,126,176,170,165,157,136,120,110,65,132,192,180,181,179,177,176,175,187,187,189,190,191,177,163,156,134,112,113,134,169,162,160,147,126,114,91,77,183,185,183,181,180,178,176,175,187,189,191,190,193,182,166,162,135,120,115,138,161,161,156,136,117,106,67,133,196,181,182,182,181,180,177,175,186,188,189,191,192,191,173,167,144,128,112,135,156,151,145,126,107,85,77,187,188,185,183,183,181,180,178,176,187,189,190,191,192,192,183,169,146,129,114,127,146,138,128,110,93,58,146,197,186,186,184,183,182,180,177,176,187,189,190,191,193,193,185,165,146,127,118,122,136,129,113,100,64,115,200,188,189,186,185,183,182,180,178,177,187,189,190,192,193,193,185,161,144,130,126,122,128,125,108,85,80,189,192,190,189,188,185,183,182,181,179,178
11,120,123,125,128,130,133,134,135,136,137,137,136,136,136,136,137,136,136,135,133,133,132,131,130,127,125,124,123,122,124,128,130,131,134,136,137,138,138,138,139,137,139,139,137,137,136,136,135,134,133,131,130,130,128,126,127,124,127,129,131,133,136,137,139,141,140,140,140,145,119,131,141,138,138,137,136,134,135,134,132,131,129,130,109,127,129,132,134,136,138,139,141,143,143,144,137,165,112,99,149,139,140,139,137,137,137,135,133,132,132,131,54,129,133,134,137,139,141,142,144,145,145,146,139,173,120,85,151,141,143,142,140,140,138,137,135,133,139,100,28,131,136,137,139,142,144,144,146,147,148,148,141,182,111,83,154,143,144,143,142,141,141,138,137,135,141,69,32,133,136,139,143,145,147,148,149,150,153,146,153,201,100,95,156,145,147,146,144,143,141,141,140,141,137,54,37,136,140,143,145,147,149,150,149,152,144,159,149,178,98,109,160,148,149,149,147,146,145,144,144,143,143,78,48,138,142,145,147,149,152,147,172,162,89,142,120,77,119,84,140,156,151,151,150,149,147,147,145,143,150,100,49,141,143,146,148,153,149,171,194,171,129,74,102,66,87,70,114,163,152,152,152,151,148,149,149,146,151,123,46,142,146,148,152,151,165,205,154,159,158,88,77,73,97,79,119,164,154,155,154,153,153,152,150,150,149,148,67,144,148,151,151,158,198,179,116,112,154,86,68,66,99,80,123,166,157,157,156,156,156,153,152,152,149,152,109,145,149,152,149,184,198,145,108,127,138,57,74,66,92,75,133,167,160,160,159,158,157,155,155,153,151,153,131,147,150,155,151,196,188,130,85,106,111,53,76,62,87,67,150,167,162,161,161,160,158,156,155,155,153,156,123,149,152,156,151,199,192,148,102,62,64,77,58,69,84,77,168,163,164,162,161,163,161,160,160,157,155,156,145,150,153,156,157,208,190,140,91,56,42,88,51,94,89,55,154,173,165,168,168,161,153,148,146,157,162,156,155,151,154,156,163,215,187,138,97,66,48,60,46,94,81,38,76,161,163,150,128,116,109,106,94,86,132,162,154,153,158,156,170,214,183,141,108,75,59,61,62,79,81,79,77,85,99,102,116,122,106,84,81,63,101,166,156,154,159,158,170,209,179,142,110,82,63,66,102,125,125,114,104,88,94,111,106,87,74,101,143,152,156,161,158,156,160,160,172,209,182,149,116,88,67,76,122,122,112,107,103,89,79,74,84,119,144,169,171,168,164,161,160,157,162,161,177,207,186,158,119,98,77,90,117,116,108,95,90,68,62,112,167,176,173,168,166,166,164,162,160,158,165,158,191,209,187,156,118,100,83,90,102,106,98,82,64,87,151,180,174,170,170,170,168,168,166,163,162,161,161,165,208,200,173,140,107,90,83,91,90,95,89,61,113,178,180,174,175,173,172,171,169,169,168,165,163,162,161,199,209,188,162,128,101,86,86,90,82,76,67,124,186,177,175,176,176,175,173,172,170,170,169,167,165,157,173,213,198,175,154,124,105,91,85,83,66,95,159,186,179,177,177,176,175,175,174,173,172,170,169,168,166,156,186,210,193,152,125,116,103,88,80,60,88,180,187,180,180,179,178,178,177,176,174,174,173,172,170,169,167,160,197,209,185,132,104,99,93,79,66,71,167,186,180,183,182,180,180,178,178,177,175,175,173,173,171,169,167,174,206,205,173,112,98,93,84,70,58,138,192,184,185,184,183,181,181,179,178,178,177,176,175,173,172,171,169
1,150,152,153,155,155,156,157,157,157,157,158,158,160,160,160,160,160,160,159,159,160,160,159,158,158,159,158,157,152,156,158,157,159,159,159,160,160,162,162,162,162,163,163,163,162,163,163,162,161,161,162,162,160,159,158,158,157,159,160,161,162,163,163,164,165,165,166,167,166,165,166,165,167,158,156,167,165,165,164,164,162,161,161,160,161,164,164,166,166,166,166,168,169,170,170,170,171,170,138,162,181,153,110,172,169,168,167,167,165,165,164,164,164,168,168,171,170,170,170,171,171,173,174,173,181,179,106,156,184,141,103,171,165,173,171,170,168,168,167,166,167,170,171,173,174,174,174,176,175,175,172,166,189,168,105,166,182,123,121,168,120,159,177,173,172,171,171,170,171,172,173,174,178,178,177,178,179,182,166,127,171,152,108,180,178,110,140,175,107,142,182,176,175,174,173,173,173,175,176,179,181,180,181,181,181,190,163,111,152,149,116,188,181,117,158,179,107,142,185,179,178,177,176,175,176,178,180,182,184,184,183,184,183,192,147,112,146,141,124,181,167,115,173,175,102,147,186,182,182,180,180,179,179,180,183,184,186,187,186,186,186,196,143,121,135,127,110,175,148,112,187,177,106,159,188,187,185,184,183,182,181,182,186,186,187,187,189,190,188,197,134,116,135,134,101,187,145,124,194,166,107,171,190,188,187,187,186,185,183,186,187,188,189,189,190,191,192,201,143,105,136,134,103,189,141,139,194,156,104,182,192,190,189,188,187,186,185,188,190,191,192,193,193,191,195,202,147,93,119,110,96,166,118,162,197,158,112,193,195,193,191,190,189,188,187,189,192,193,194,195,194,194,199,203,152,116,147,163,150,169,152,141,180,148,124,200,196,194,193,194,193,190,190,192,192,194,195,196,196,196,205,200,160,130,116,165,187,186,182,134,128,130,139,203,198,197,196,195,193,193,191,193,194,195,197,198,198,199,212,189,148,119,95,103,135,156,198,178,109,83,157,205,199,199,197,196,195,194,193,195,197,198,199,200,200,201,218,191,146,110,100,103,112,150,210,206,146,77,176,205,201,201,200,200,199,197,194,196,199,201,201,202,200,206,218,186,141,114,113,120,157,182,182,199,163,97,183,205,202,201,200,200,200,200,196,197,199,201,202,203,201,209,215,184,145,114,126,130,188,203,183,163,141,98,152,210,204,204,203,202,201,200,196,197,200,202,203,205,203,211,216,186,149,128,129,154,210,203,174,150,111,84,158,213,206,205,205,205,202,201,199,200,202,203,203,205,205,211,214,186,151,139,128,171,217,205,163,134,100,80,185,212,208,207,206,206,204,202,200,202,202,204,204,205,206,209,211,186,160,147,130,170,217,196,151,121,90,100,205,210,208,208,207,207,206,204,201,203,203,205,205,206,207,208,207,188,166,157,127,173,207,178,139,108,82,156,215,210,209,209,210,210,208,208,201,204,206,206,207,208,209,210,210,191,169,157,126,180,193,166,132,96,93,201,213,212,210,210,210,210,208,208,201,205,207,207,207,209,208,209,215,193,173,148,127,173,166,149,118,84,131,219,213,214,213,212,212,211,209,208,202,204,206,208,208,209,203,210,215,209,182,146,137,163,147,136,108,84,182,218,214,215,215,214,213,212,210,209,202,202,204,206,208,207,202,213,211,207,183,152,149,153,140,124,92,127,214,216,215,215,215,214,214,213,212,211,203,204,206,206,206,203,204,202,190,191,175,149,145,134,127,100,95,194,218,216,215,215,215,214,213,213,212,211
4,188,190,192,192,192,194,195,195,197,197,197,197,198,197,197,198,198,197,196,196,196,197,197,197,197,196,195,194,189,191,192,193,194,196,197,197,198,198,198,198,199,199,199,198,199,198,197,198,197,197,197,198,198,198,197,196,190,192,194,194,194,197,198,198,199,199,198,199,200,201,200,198,198,201,199,198,199,199,199,199,200,199,199,199,193,193,196,197,197,199,199,199,200,200,200,198,197,199,199,204,203,201,200,203,202,202,201,202,202,201,200,199,194,195,197,197,199,199,200,200,201,200,198,204,227,230,206,204,237,225,180,185,202,200,207,204,204,203,201,199,195,197,197,198,199,200,201,203,200,208,223,223,203,234,215,149,188,215,170,127,199,192,176,206,204,203,201,202,198,198,199,199,199,202,204,200,212,243,243,209,139,179,198,135,141,191,137,140,234,191,123,184,209,203,204,203,198,199,201,203,203,203,205,199,232,240,239,207,134,156,209,128,104,201,150,201,234,181,115,182,213,206,207,206,199,200,202,205,205,203,206,200,236,227,212,224,178,127,209,139,126,206,216,241,224,209,134,188,214,207,208,205,200,202,203,205,206,205,207,201,236,227,199,198,160,81,149,221,209,212,222,210,212,229,180,172,216,206,207,208,201,204,205,207,207,205,206,209,242,237,209,175,137,101,92,184,182,187,196,172,222,241,220,160,201,213,209,210,202,204,206,208,209,209,205,218,244,229,188,160,150,134,123,125,126,150,147,128,237,244,235,184,164,219,209,210,204,206,206,208,208,213,207,223,244,230,193,157,133,128,136,142,123,152,126,159,239,240,231,198,143,205,214,211,206,207,208,209,210,212,207,229,244,233,197,160,140,132,141,152,159,185,196,243,240,230,209,180,138,182,221,212,207,207,209,211,213,213,208,233,244,234,207,174,145,136,146,168,173,203,240,242,237,224,193,160,132,184,221,212,208,210,211,213,212,215,210,233,244,235,217,190,151,137,145,168,197,234,244,242,234,215,181,148,131,204,217,213,208,211,212,213,213,215,210,234,244,238,225,196,167,151,150,179,229,244,243,241,225,201,168,135,145,221,215,216,209,211,212,213,215,216,210,233,244,242,231,205,192,165,171,198,238,243,242,235,214,185,155,125,172,227,215,217,211,211,212,213,215,217,212,229,244,242,236,212,204,191,182,201,227,244,236,221,199,170,140,122,202,224,217,218,211,212,214,214,215,216,216,226,244,243,242,223,211,200,182,183,217,243,220,206,187,154,128,138,224,220,220,218,212,214,215,218,221,221,218,217,241,241,237,224,212,194,186,181,203,232,202,186,173,144,114,177,230,219,220,219,214,214,217,205,187,172,156,145,145,145,132,122,117,120,127,137,161,187,186,179,162,132,117,217,226,222,222,221,214,219,176,153,142,137,132,128,118,107,97,85,77,74,60,56,70,77,90,114,138,110,154,231,222,223,222,220,215,220,157,141,145,139,134,130,118,109,97,87,84,77,62,62,67,63,52,47,59,79,211,230,223,223,222,221,214,225,176,135,140,135,132,127,109,100,93,83,81,71,64,64,69,60,53,53,51,39,116,234,223,224,224,224,216,226,192,138,139,132,132,121,109,97,91,83,79,70,64,64,66,57,50,48,49,52,28,181,237,223,227,226,218,224,202,143,136,135,132,121,106,98,89,81,76,71,64,64,61,55,48,46,49,46,52,209,232,225,226,226,217,224,208,140,135,139,125,116,104,96,86,79,73,70,65,63,59,53,47,45,53,31,139,244,223,227,227,227
20,140,142,144,143,145,143,143,144,144,143,144,143,142,144,143,139,137,136,135,133,131,128,127,126,123,122,120,118,145,147,147,147,148,147,146,147,148,148,147,147,152,134,129,145,140,140,139,136,134,133,131,128,126,125,123,121,149,151,151,151,151,151,151,150,151,151,152,150,169,131,86,151,146,142,142,140,138,137,134,132,131,129,127,125,155,155,156,155,156,156,156,155,156,156,157,153,164,143,63,77,116,152,145,144,142,140,138,135,134,132,129,126,159,159,160,160,160,161,160,160,160,160,161,157,171,140,48,85,77,142,152,148,146,144,142,140,138,135,133,130,161,162,164,164,164,165,165,164,164,165,164,162,176,127,44,133,85,116,163,152,150,148,147,143,142,140,138,134,165,166,168,168,168,168,167,167,168,169,169,165,183,134,57,149,89,96,167,155,154,151,151,148,145,144,141,140,169,170,171,171,171,172,172,172,171,172,171,169,191,128,59,153,115,91,168,159,159,157,156,152,148,148,145,144,172,173,173,173,174,174,174,174,174,175,174,179,192,103,63,165,126,82,167,162,161,160,159,157,152,150,148,147,175,176,177,177,178,178,177,177,179,178,166,182,196,102,87,182,120,72,168,167,164,162,161,159,156,154,152,147,180,181,181,181,182,181,181,180,181,180,158,144,161,118,84,172,126,72,168,168,166,166,164,161,159,156,159,128,182,183,183,184,185,184,183,184,182,186,198,181,135,105,77,153,143,84,164,173,169,168,167,165,162,159,160,143,186,186,186,188,187,187,187,186,189,177,150,181,146,148,87,121,133,80,159,178,173,172,169,167,164,163,162,149,189,188,188,188,188,190,189,190,188,194,128,94,157,166,74,57,87,64,153,184,174,174,172,170,166,164,163,152,191,189,188,189,189,191,191,191,190,200,135,32,142,162,103,53,50,43,142,188,177,175,174,173,168,165,163,162,191,191,191,190,190,192,191,193,192,192,138,69,97,149,136,88,81,30,128,193,178,177,176,174,171,167,166,164,193,193,193,193,194,195,195,195,185,184,148,116,58,69,133,116,94,29,104,198,180,180,178,176,173,171,167,165,196,196,196,196,196,196,197,191,185,167,165,148,95,66,95,123,101,43,80,199,183,182,181,179,176,173,169,166,197,197,197,196,197,197,195,186,166,109,122,153,122,68,68,116,140,81,50,182,189,183,182,181,178,175,172,169,199,199,199,199,199,201,196,185,176,125,46,100,118,49,48,95,153,121,43,117,201,184,184,182,179,176,174,171,200,201,201,201,201,203,199,185,162,130,80,51,91,56,50,143,171,147,61,72,200,186,187,185,181,179,176,174,201,202,203,203,203,203,201,182,179,165,91,59,94,84,107,189,174,130,49,88,203,187,187,185,182,180,179,176,203,204,204,205,205,206,205,180,185,168,106,80,103,172,195,184,148,112,29,129,203,187,188,186,183,182,179,176,206,205,205,206,207,208,207,179,175,163,125,81,105,198,195,164,122,94,35,169,199,189,190,189,186,183,180,176,205,205,205,205,206,207,209,179,159,154,127,86,102,182,172,144,106,67,54,195,194,191,190,189,185,183,187,186,205,205,205,205,206,207,209,188,159,154,127,104,105,180,168,129,90,37,93,209,190,190,188,186,192,188,163,121,206,207,207,207,207,207,209,203,163,153,136,113,93,165,152,108,65,29,165,203,192,192,195,187,158,88,34,28,206,208,208,208,209,210,210,206,175,156,136,110,87,124,113,73,30,73,207,195,195,186,145,82,34,17,12,23
7,220,222,223,225,226,227,229,230,230,231,231,231,230,231,230,231,231,233,232,231,231,230,229,228,227,224,222,221,222,223,224,226,229,230,230,232,232,232,233,234,233,233,234,234,234,235,233,234,233,232,231,230,229,227,226,225,222,225,226,228,230,231,233,234,234,235,235,235,236,236,237,237,236,236,235,236,236,234,233,231,231,229,229,227,223,227,229,231,232,233,234,236,237,236,237,237,238,238,237,237,237,238,237,236,237,236,235,234,233,232,231,230,226,230,232,233,234,235,236,237,237,238,238,238,238,240,239,239,239,239,239,238,238,238,237,235,235,235,233,231,228,231,233,235,236,237,238,239,239,240,240,240,240,241,242,241,241,241,241,240,240,239,238,237,236,236,236,233,230,232,235,236,236,239,241,242,242,241,243,243,242,242,243,243,243,243,243,243,242,241,241,239,239,237,238,237,230,233,235,237,238,240,241,242,242,245,243,243,245,244,243,244,245,244,244,244,244,242,243,238,237,239,237,236,231,234,236,238,239,240,241,246,251,254,230,208,224,236,238,236,238,243,241,241,237,240,233,244,252,236,238,236,234,236,236,239,242,249,252,253,255,255,246,205,188,213,225,224,226,220,217,225,222,231,220,240,229,227,243,238,234,238,248,253,255,255,252,249,242,239,235,201,179,194,211,219,219,216,214,211,207,214,203,199,195,230,239,239,250,255,255,255,252,246,241,231,225,232,241,213,180,171,177,189,204,215,208,207,215,213,207,219,217,218,235,226,255,255,251,246,239,235,230,228,231,239,244,218,183,181,181,174,172,164,177,186,187,193,188,191,199,199,199,221,255,255,246,235,226,221,220,223,228,238,227,199,177,176,189,197,190,165,186,243,235,229,226,225,223,225,233,248,255,252,246,233,225,222,223,219,216,228,233,206,168,156,175,186,187,185,169,250,255,255,255,255,254,253,251,247,251,249,247,238,233,227,228,227,224,230,241,215,183,183,187,176,177,158,195,255,252,254,253,252,251,250,249,249,246,242,240,239,237,232,228,225,225,230,234,215,191,196,198,188,185,168,250,255,255,255,254,254,253,252,252,251,231,228,232,236,237,235,228,223,222,221,205,194,180,174,181,186,163,217,255,253,255,255,255,255,254,254,253,253,144,154,182,218,237,230,218,209,200,188,181,172,136,119,138,168,166,251,255,255,255,255,255,253,251,251,255,228,87,86,93,118,163,195,184,190,197,213,238,251,171,131,156,172,225,255,255,255,255,255,253,255,255,255,221,155,89,84,81,77,78,90,207,254,255,255,255,255,247,206,231,250,255,255,255,255,255,255,255,248,211,192,152,132,82,77,75,78,61,115,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,224,168,148,138,129,117,76,73,71,72,56,120,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,185,127,125,141,130,123,117,73,75,73,73,49,112,255,255,255,255,255,255,255,255,255,255,255,255,255,255,210,145,117,100,118,118,112,115,80,84,79,70,40,103,255,243,249,251,252,254,255,255,255,255,255,255,255,183,131,152,117,91,97,112,106,108,91,86,72,52,46,78,168,165,168,170,172,175,179,179,181,184,182,188,186,135,112,145,114,84,88,98,99,100,98,79,56,49,50,95,160,150,151,153,152,153,153,153,154,151,151,168,167,125,105,138,109,82,85,91,94,96,91,62,51,57,51,121,171,161,163,165,164,163,163,162,162,160,164,152,137,121,103,129,102,84,82,87,90,92
11,147,152,156,161,163,166,169,172,173,176,177,178,180,183,185,185,187,188,188,190,191,192,192,193,193,192,192,191,148,153,158,161,164,168,171,172,175,177,179,181,184,186,186,187,188,190,191,193,194,194,194,194,194,194,193,193,150,154,159,162,164,169,171,173,176,177,180,182,185,186,186,188,190,191,192,194,194,195,196,195,195,195,194,195,150,156,160,164,167,169,170,174,177,179,181,182,185,188,188,186,193,193,194,195,195,195,195,196,196,196,196,197,151,157,162,164,167,170,172,176,179,182,184,184,187,188,193,174,153,197,195,196,197,197,197,197,197,197,198,198,153,158,162,166,168,171,174,177,180,183,184,187,188,187,196,182,115,190,198,197,197,199,200,199,199,199,199,198,153,158,162,166,170,172,175,179,181,184,186,187,189,187,206,174,115,191,199,199,199,199,199,200,199,199,199,198,153,159,165,168,170,172,177,180,183,185,188,188,189,189,215,149,125,203,197,200,201,200,200,200,201,200,200,201,154,161,165,169,171,173,177,180,184,186,188,190,189,198,216,137,144,207,199,201,202,202,202,202,202,201,201,200,156,161,165,170,172,174,177,180,184,187,188,189,188,211,188,119,166,206,200,202,203,203,203,203,203,202,202,202,157,162,165,169,172,175,178,181,185,187,185,186,192,217,144,114,190,203,201,202,202,203,203,203,203,202,202,202,157,163,166,170,174,174,180,182,182,182,200,198,149,164,127,131,206,200,202,202,203,204,204,203,204,203,202,202,156,162,167,168,172,179,171,183,203,162,166,186,135,111,111,166,208,200,203,203,203,204,204,203,204,204,203,202,156,162,166,190,213,204,162,125,195,157,115,160,132,100,105,194,202,201,203,204,204,204,205,205,205,204,205,205,157,158,186,198,184,204,162,114,178,135,128,175,122,87,124,209,200,203,204,204,204,206,206,206,206,205,205,205,156,164,190,174,155,192,156,117,172,116,144,166,112,81,148,212,201,204,204,204,204,206,207,207,207,207,205,204,152,178,197,155,127,173,146,112,153,111,156,144,98,80,164,210,200,203,204,204,205,206,206,207,207,207,206,205,152,199,195,159,132,155,113,117,132,104,148,124,90,76,172,210,201,205,206,207,206,209,210,206,207,206,206,206,166,216,185,161,134,134,103,130,106,111,166,100,79,83,148,208,202,199,191,183,177,173,192,212,206,207,206,206,186,218,178,159,137,120,114,148,77,88,138,86,108,128,130,168,184,191,190,180,170,150,136,170,211,207,207,206,189,208,182,166,146,126,123,137,122,139,150,163,168,165,171,180,187,182,166,148,141,148,140,112,194,211,207,207,182,204,187,174,153,136,147,174,190,185,181,182,178,162,168,169,140,136,152,167,189,202,190,170,201,210,207,207,186,212,188,177,156,142,160,190,182,173,180,174,166,138,128,126,157,193,210,214,213,211,212,214,209,208,208,208,203,213,180,168,147,143,160,180,173,171,174,157,128,106,140,189,211,209,207,207,208,209,209,208,209,210,209,209,214,179,162,153,147,150,157,161,168,164,146,109,110,167,206,208,205,206,207,208,209,210,210,209,209,209,209,210,212,173,159,161,158,154,154,146,151,131,97,134,193,207,202,203,207,207,207,208,209,210,210,209,210,211,209,208,205,189,150,173,173,157,148,129,120,103,157,201,199,197,200,202,204,204,204,206,207,208,208,209,206,207,209,214,205,191,145,181,176,150,131,115,95,151,202,191,195,197,199,201,202,204,204,205,206,206,208,207,219,227,229,229
3,150,153,156,158,160,162,164,165,166,166,166,165,164,164,164,164,162,160,160,158,157,157,155,153,151,150,147,146,152,156,158,160,163,165,167,168,169,169,169,167,167,167,166,165,171,162,143,161,159,158,157,155,153,151,150,148,154,158,161,163,166,168,170,170,171,171,171,170,170,169,168,166,185,162,98,155,163,160,159,158,156,154,152,150,156,160,163,165,168,170,171,172,173,173,172,172,172,171,171,169,186,160,91,139,167,163,161,160,158,156,154,151,159,162,165,168,170,172,174,175,176,174,174,174,174,174,173,170,183,163,96,133,170,165,164,163,160,158,156,154,160,164,166,170,172,174,176,178,178,177,176,176,177,176,174,172,186,188,116,123,172,168,166,164,162,159,157,155,162,165,168,170,174,176,178,180,180,180,179,179,179,178,176,174,190,196,119,108,172,169,167,166,164,161,159,157,163,167,170,174,177,179,180,181,182,182,182,182,181,180,179,178,193,192,113,101,172,170,169,168,165,163,160,158,165,169,173,176,179,181,183,184,184,184,183,183,183,183,181,178,198,195,121,102,174,172,171,170,167,164,162,159,168,172,175,179,181,183,185,186,186,186,186,185,184,183,182,181,172,164,115,98,174,175,173,172,169,166,164,162,170,175,178,181,183,186,187,188,189,189,189,188,187,184,192,194,130,90,80,94,180,176,175,173,170,167,165,163,172,177,181,183,186,188,190,191,191,191,190,191,196,183,140,150,172,122,66,114,187,181,177,174,172,170,167,164,174,179,182,185,188,190,193,193,195,192,194,165,179,181,119,90,196,134,96,97,134,153,177,176,173,171,168,166,176,181,184,188,190,192,194,196,195,201,206,151,107,166,143,99,159,137,116,98,121,102,152,180,175,172,171,167,178,183,186,189,191,194,195,196,200,219,204,178,126,135,154,97,115,149,137,114,123,85,134,184,178,174,171,169,181,185,188,191,193,196,198,197,211,205,196,189,136,106,142,94,110,120,98,114,106,76,126,187,179,176,172,170,182,187,190,194,195,197,200,199,224,211,174,176,135,88,122,89,113,164,87,127,133,82,115,188,181,178,175,173,183,188,191,195,196,199,201,202,210,191,156,163,113,75,117,76,111,196,102,109,146,86,90,187,182,180,177,174,184,189,193,196,198,201,203,203,209,214,190,160,108,94,114,91,87,149,107,110,122,78,85,186,184,181,178,176,185,190,193,196,200,201,203,204,216,222,205,162,112,96,125,117,152,185,151,131,95,65,133,192,185,183,181,179,184,190,194,197,201,202,205,204,214,225,213,169,128,107,113,171,196,170,131,109,90,72,182,189,187,184,182,181,183,189,194,198,201,202,204,205,211,223,208,168,159,117,140,207,184,143,118,101,82,114,196,188,186,183,181,180,183,190,196,198,202,204,206,206,208,214,203,179,165,133,136,174,164,130,113,90,76,170,194,189,187,184,181,180,185,192,196,200,203,206,207,213,122,170,201,184,165,139,111,132,129,110,92,78,140,199,194,191,189,186,185,184,186,192,196,201,202,206,210,195,66,80,166,175,162,119,92,91,95,93,75,138,200,197,196,197,196,187,159,114,187,194,198,201,204,207,215,139,61,60,74,113,122,83,79,75,79,64,61,191,203,198,176,145,127,95,57,41,143,145,148,150,150,151,147,86,67,60,54,52,61,78,76,59,55,33,5,81,119,91,53,33,27,25,29,34,111,112,113,114,113,112,93,68,72,57,54,49,47,35,28,27,22,16,9,24,33,24,24,24,29,29,21,27
4,229,229,230,231,230,230,230,229,229,230,229,231,231,230,231,232,231,231,231,229,230,230,229,229,229,227,225,224,231,231,232,231,230,230,232,232,230,232,231,230,230,234,231,233,234,233,232,231,231,231,228,230,230,228,226,228,234,232,232,232,233,232,232,232,234,233,233,230,228,234,239,233,234,237,241,234,231,231,232,231,231,229,228,229,232,234,233,233,236,234,233,235,235,234,233,252,232,194,202,235,216,184,213,244,239,235,230,232,232,231,231,231,232,233,235,236,237,237,235,233,238,231,219,237,255,227,157,221,243,178,126,212,202,220,240,232,232,233,232,232,236,236,236,237,239,237,238,233,252,255,241,167,231,255,159,213,255,198,129,209,182,123,208,246,233,235,235,233,238,238,238,238,238,239,238,240,249,254,247,178,191,255,142,193,255,190,159,245,202,125,119,244,237,237,236,236,238,239,239,240,239,241,234,255,242,228,255,162,163,246,158,147,248,152,146,245,214,137,110,243,237,238,236,237,238,239,240,241,240,238,239,255,212,171,241,178,139,241,216,182,199,183,213,255,236,145,144,254,236,240,238,239,238,239,240,243,242,237,251,254,212,162,203,183,120,174,208,220,209,231,243,241,211,168,138,245,241,240,239,239,238,239,240,243,241,244,255,242,229,188,154,123,106,138,133,185,194,204,214,213,183,204,113,200,253,239,242,241,240,240,240,242,242,251,253,218,187,172,147,112,108,155,103,127,155,154,182,165,190,214,134,148,255,238,242,242,241,241,242,243,243,254,255,211,165,139,135,121,124,155,130,167,174,154,113,166,250,223,174,111,233,247,242,246,240,240,241,244,241,255,255,232,183,138,112,110,137,138,158,209,213,171,156,201,254,239,214,120,172,255,241,248,239,239,240,244,241,255,255,243,191,137,114,110,145,150,206,212,212,205,242,242,226,252,214,133,127,255,244,246,240,239,239,241,240,255,255,255,199,134,127,117,129,163,203,206,231,249,241,243,229,215,187,143,110,239,247,246,240,239,242,242,241,255,255,255,202,139,152,143,131,175,200,233,245,242,237,227,214,175,153,135,115,237,246,244,239,239,242,243,247,255,255,248,198,179,171,145,187,226,242,255,248,238,224,210,189,158,126,100,195,252,244,245,240,240,242,243,246,255,255,252,222,202,180,146,213,255,251,255,249,229,211,192,170,141,98,158,254,245,247,246,240,241,242,243,238,255,255,255,242,206,199,167,200,255,251,254,238,207,194,179,155,116,119,244,250,249,247,246,239,240,241,245,232,255,255,255,251,221,204,187,199,255,250,241,221,193,178,157,136,100,204,255,248,249,247,246,245,246,247,251,240,244,255,254,233,221,205,191,203,240,236,221,203,179,164,144,101,147,255,250,250,250,251,250,166,169,172,180,168,223,255,246,224,219,214,197,205,222,220,200,181,162,154,127,103,225,255,253,255,254,247,244,109,111,111,118,93,199,255,241,233,233,220,200,206,220,214,196,163,145,139,110,118,153,153,152,149,154,185,229,122,123,122,128,105,201,255,244,239,237,221,200,207,224,222,194,142,129,118,107,117,104,101,116,179,204,220,239,121,122,121,126,103,199,255,247,240,239,236,205,196,221,215,167,125,119,109,117,121,140,216,245,238,255,250,212,123,124,123,128,106,196,255,247,240,248,252,207,178,214,195,143,119,104,100,167,221,245,255,247,193,198,244,238,121,122,121,126,109,198,255,238,233,247,253,205,174,208,184,132,108,97,189,255,255,246,225,207,191,161,190,228
10,0,43,27,0,0,10,13,20,28,40,59,68,76,84,89,94,95,97,100,104,108,112,113,115,118,120,121,122,0,50,18,0,0,11,15,23,30,40,61,69,77,84,88,95,96,98,105,106,111,113,115,117,119,121,123,124,13,53,5,0,0,11,16,23,31,45,62,71,81,87,92,93,104,100,88,110,111,114,116,117,121,122,125,127,29,55,0,0,0,11,18,24,31,49,65,72,82,89,95,91,128,100,51,112,112,114,118,119,122,122,126,129,39,55,0,0,5,12,19,26,33,51,67,74,83,90,95,93,132,113,48,107,116,115,120,121,123,126,129,129,43,57,0,0,7,13,21,28,36,54,68,77,84,90,97,94,128,119,41,95,120,117,121,123,125,127,130,129,49,57,0,0,9,13,21,28,37,57,70,79,85,91,97,99,120,129,57,73,127,118,122,124,128,129,131,132,56,51,0,0,10,13,22,30,39,58,74,81,87,93,100,99,113,131,71,48,127,120,123,126,129,131,132,134,63,43,0,0,12,15,20,30,37,93,74,41,87,94,98,102,108,122,83,33,111,125,125,127,131,132,133,135,69,32,0,0,13,13,32,37,46,110,65,20,54,101,98,103,106,135,106,27,86,130,125,129,132,133,135,137,74,19,0,0,7,35,109,40,28,86,87,40,20,92,102,106,103,155,128,38,60,133,124,131,132,134,136,138,77,3,0,3,10,34,75,21,2,43,108,72,16,64,114,104,105,149,114,52,42,133,126,131,134,136,137,139,77,0,0,7,14,18,32,31,11,24,105,74,29,13,73,108,113,132,103,61,29,124,130,131,136,138,138,140,78,0,0,13,14,22,29,37,38,27,100,79,32,10,6,56,112,107,96,73,23,112,135,132,136,140,142,143,76,0,0,17,16,23,30,38,54,62,123,108,54,18,4,2,44,67,84,73,26,103,137,133,138,140,142,143,69,0,0,15,16,22,32,37,51,101,147,121,80,30,7,0,7,29,62,66,21,90,141,134,138,141,142,144,60,0,0,17,17,24,31,39,126,138,132,131,99,55,20,6,12,37,48,54,13,68,144,135,139,142,143,143,49,0,0,19,18,26,26,61,159,143,132,130,117,84,37,15,16,27,40,41,8,62,146,134,140,144,144,145,34,0,0,19,19,25,28,56,164,143,133,140,119,90,37,13,6,15,32,27,0,96,145,135,141,144,145,147,18,0,1,19,20,27,32,42,122,77,141,148,110,79,32,14,8,20,34,18,28,135,138,141,142,143,146,147,0,0,7,19,21,27,34,40,77,52,165,131,97,77,41,23,12,21,30,8,79,143,135,142,142,143,146,147,0,0,13,19,21,28,37,35,114,137,161,133,94,71,48,27,19,19,21,16,123,139,139,141,143,144,147,148,0,0,15,18,20,28,34,46,153,160,159,121,96,56,48,31,23,18,7,55,142,136,141,142,143,145,148,149,0,0,16,17,20,29,29,64,173,157,146,108,91,46,39,35,26,13,7,115,139,138,142,144,144,146,149,151,0,0,19,17,21,29,30,62,170,160,133,95,77,42,33,32,29,3,50,141,135,139,141,143,145,147,149,151,0,0,20,18,22,31,30,65,176,150,127,86,69,42,31,26,22,0,93,141,136,138,140,143,145,148,149,151,0,0,21,18,22,32,31,71,162,131,130,97,81,51,27,20,8,5,115,136,137,139,140,144,147,149,150,151,0,0,21,18,23,31,35,57,125,128,138,123,94,56,26,12,0,22,131,133,137,141,142,144,147,149,150,152
21,135,137,139,139,139,139,140,142,141,141,142,143,139,133,143,141,141,142,140,139,138,138,137,135,138,55,0,0,138,140,141,141,143,143,143,144,144,144,143,146,159,93,132,147,143,144,143,143,144,140,139,142,117,40,0,0,141,142,143,145,146,146,146,146,147,146,146,148,164,83,115,154,145,146,148,136,119,146,142,146,114,15,0,0,144,145,146,146,148,149,149,148,149,149,149,152,166,84,100,159,149,148,155,140,70,145,144,148,123,32,8,19,146,146,148,149,150,151,151,151,152,152,151,154,172,92,90,161,151,150,162,135,64,147,148,146,149,54,6,18,147,148,150,151,152,153,153,153,153,153,153,154,180,110,89,161,155,152,166,127,69,148,151,148,153,91,9,8,149,151,151,154,154,155,156,155,155,156,157,155,184,122,88,159,158,155,171,125,76,150,152,150,155,134,18,0,151,153,154,156,156,157,157,158,157,157,158,155,183,133,89,149,163,158,178,130,82,155,155,154,152,157,46,0,153,156,156,157,158,159,158,159,159,158,161,157,188,151,98,135,166,161,179,129,82,157,157,156,153,159,106,101,155,156,157,159,159,159,160,161,160,160,162,158,188,166,101,129,168,167,186,126,80,161,158,157,155,158,106,147,156,157,159,160,161,161,162,163,162,162,164,151,160,174,96,128,170,174,179,114,88,167,160,159,157,156,127,155,156,157,158,161,162,163,164,163,165,163,183,158,124,139,112,108,170,178,162,102,100,171,160,161,160,160,151,109,157,159,161,162,163,164,163,164,165,164,191,185,153,103,140,62,135,173,151,91,117,174,162,162,162,162,156,101,158,160,161,163,164,164,164,165,165,168,166,192,178,137,146,73,62,124,124,78,137,172,164,164,163,163,160,139,159,161,161,163,164,165,165,166,165,170,143,135,189,144,136,121,80,66,85,58,144,172,165,164,163,164,164,159,160,161,163,164,164,165,166,168,167,164,173,138,161,150,106,146,129,74,55,49,139,176,165,166,165,164,163,162,160,160,162,163,164,165,167,166,169,171,192,154,90,137,92,120,139,91,49,42,139,176,167,166,165,165,164,163,159,161,161,161,164,165,165,165,183,187,175,115,57,76,128,92,128,118,69,36,143,173,166,166,166,165,163,163,159,161,162,163,163,165,165,170,189,156,135,125,82,33,94,57,108,154,92,45,155,173,166,166,165,164,163,162,160,162,164,164,164,166,167,169,185,153,123,135,91,48,26,85,133,171,125,58,122,176,167,167,165,164,164,163,159,162,162,163,163,165,166,166,181,163,140,130,121,68,54,170,157,162,142,88,74,175,168,168,166,165,164,164,166,169,170,171,170,171,173,174,182,181,147,92,123,85,109,193,171,153,129,94,89,175,168,168,166,165,165,165,109,112,117,120,124,128,132,135,182,184,144,88,119,104,159,196,161,145,113,66,103,182,172,175,173,169,165,162,58,59,61,61,60,60,61,60,173,189,138,110,129,117,190,187,158,136,107,63,73,95,90,90,97,109,136,157,69,70,69,68,68,68,70,62,157,187,143,134,144,126,198,186,155,128,92,65,58,61,79,108,134,157,172,181,67,68,66,67,69,68,71,59,122,189,163,160,155,114,180,176,137,112,74,62,134,151,160,175,177,171,172,185,67,67,66,67,68,68,69,66,80,174,175,163,150,111,147,161,113,83,58,71,179,175,149,140,157,166,163,171,67,66,66,67,69,68,68,71,62,155,171,145,126,100,107,135,93,66,53,89,131,143,165,125,123,144,159,169
0,192,192,193,191,193,193,192,194,193,194,194,196,194,194,194,191,193,194,194,195,194,194,193,195,193,192,192,192,193,192,192,192,194,196,196,198,196,195,192,194,194,194,195,194,195,192,195,197,193,195,195,195,196,193,193,193,194,194,194,195,196,198,198,196,197,198,195,197,198,198,197,198,198,195,196,197,197,196,196,195,197,193,192,192,196,196,196,196,198,199,196,195,190,169,186,200,188,195,200,194,192,200,203,199,202,198,195,196,198,195,193,193,197,198,198,198,199,199,195,203,199,129,80,142,160,136,152,182,167,138,172,191,183,196,202,198,196,198,196,195,196,199,198,200,199,199,201,196,198,132,33,76,172,113,57,137,167,87,56,129,116,98,137,195,199,194,198,197,198,199,199,199,198,196,194,158,180,147,76,58,148,101,41,104,138,74,33,109,111,53,42,115,198,198,197,198,199,200,200,200,198,192,184,147,135,170,122,39,101,103,30,95,124,60,34,122,107,50,50,94,123,211,197,198,199,201,201,202,200,194,183,156,110,120,117,31,83,100,15,79,143,75,27,129,129,56,58,134,77,146,211,198,199,202,201,202,203,194,180,154,112,82,72,39,88,82,2,90,143,57,37,148,141,113,96,106,89,61,201,202,201,202,202,203,201,192,183,173,144,91,65,56,71,56,19,75,108,70,137,158,140,127,98,71,59,51,192,203,202,203,204,204,203,195,191,180,166,135,78,56,48,61,80,78,111,160,173,160,147,116,94,78,47,67,206,202,204,205,206,205,205,197,196,185,175,164,121,62,57,69,80,111,166,177,176,168,150,111,83,73,39,95,219,200,204,204,205,205,204,192,203,194,186,181,153,102,93,84,90,144,174,180,189,174,143,107,79,68,33,146,218,201,205,204,205,206,207,180,201,204,195,190,170,140,128,113,101,146,162,182,193,176,136,101,78,55,60,197,207,203,205,206,206,204,210,182,186,208,207,200,180,161,150,136,121,134,168,189,185,168,124,88,83,45,124,217,203,206,204,206,207,205,210,193,168,205,213,205,189,174,160,150,139,130,153,182,178,156,115,81,78,42,179,214,204,207,206,206,207,206,205,210,157,188,210,211,198,182,171,161,143,130,137,161,161,133,99,79,57,67,210,206,206,206,207,207,209,208,205,216,173,162,207,212,200,175,170,158,142,132,132,146,146,108,83,73,32,131,221,203,207,208,208,208,207,210,211,208,204,152,202,210,187,163,170,152,144,135,116,123,130,97,79,49,69,205,209,206,207,209,209,209,208,210,210,208,209,170,204,209,190,175,184,166,148,131,105,106,112,94,66,42,172,216,208,210,210,210,209,209,209,210,209,209,210,177,205,213,201,182,195,172,146,131,105,96,102,94,43,114,219,206,211,213,211,210,209,209,209,210,209,209,212,168,195,213,208,188,192,168,143,126,108,93,96,90,36,168,216,207,210,213,211,210,209,209,209,209,209,211,215,167,192,215,209,190,180,164,141,124,111,93,88,77,48,193,210,209,210,212,211,210,208,208,208,208,210,210,208,183,199,211,206,192,178,162,144,124,111,95,80,66,61,213,211,210,210,210,210,211,207,209,209,209,210,212,199,190,209,197,200,188,174,160,144,123,109,93,76,61,77,218,207,210,210,210,210,210,207,208,210,211,210,211,196,188,199,196,199,178,164,156,142,123,104,86,73,52,104,215,203,211,210,210,211,210,208,209,210,210,208,213,193,182,195,200,198,177,155,146,138,121,98,74,67,42,139,211,205,211,211,211,210,211
8,166,168,170,170,172,173,174,175,174,174,173,173,173,172,172,172,172,171,171,168,167,167,166,165,165,164,162,160,167,170,172,173,175,175,175,175,176,175,175,175,175,174,174,174,173,173,172,171,170,168,167,167,167,166,164,162,170,172,174,174,176,177,178,177,178,178,178,177,175,177,175,175,175,175,173,173,171,171,170,170,169,166,165,164,172,174,175,178,180,178,178,179,180,179,179,179,176,171,178,176,175,175,176,175,173,172,172,171,171,169,166,165,173,176,177,179,180,181,180,181,182,181,176,189,191,126,168,181,178,176,176,176,175,174,174,172,171,170,168,167,176,179,180,179,181,182,182,183,183,182,177,204,178,98,157,185,179,179,179,178,175,175,174,173,172,170,171,170,178,180,181,181,182,183,184,185,184,184,181,208,152,92,168,185,180,182,180,179,177,176,174,174,174,172,172,171,179,181,183,184,184,186,186,186,186,185,187,209,139,95,181,186,183,182,181,179,178,178,177,176,175,175,173,172,182,182,184,186,186,186,187,188,189,185,195,212,136,108,185,185,184,181,182,181,180,179,179,178,176,175,173,173,183,184,186,187,188,188,189,190,191,185,202,198,116,114,189,185,186,185,184,181,181,180,179,178,177,176,175,174,184,186,187,189,190,190,190,192,192,186,208,195,116,125,193,186,185,182,188,183,181,182,181,181,179,179,177,176,187,189,189,192,194,193,193,194,195,188,217,194,143,142,188,187,200,138,148,195,187,186,181,180,181,180,178,176,187,190,191,193,195,195,196,196,196,193,218,186,157,152,196,208,202,144,100,133,136,172,190,187,181,182,180,178,188,191,193,194,195,195,196,197,197,196,215,193,173,163,212,209,203,178,134,80,82,96,173,162,188,182,182,181,191,193,195,196,196,197,198,200,196,208,225,187,173,180,204,187,195,197,156,145,111,72,107,80,125,192,180,181,193,194,197,199,199,200,200,202,197,219,208,170,164,159,201,173,125,186,176,173,132,75,78,79,59,170,187,181,194,196,198,200,200,201,202,197,206,216,172,139,151,141,187,155,94,102,180,163,128,73,48,71,55,137,196,181,197,199,200,202,202,201,202,200,227,217,183,144,123,112,180,177,137,56,195,177,136,81,45,63,64,168,192,183,197,200,201,202,203,205,201,216,236,208,173,142,125,98,172,182,118,62,174,192,136,84,56,48,119,198,187,187,197,200,203,204,205,206,203,232,231,200,163,137,128,86,94,146,121,110,177,199,138,86,49,103,194,191,190,188,200,200,202,204,207,204,211,238,215,181,169,151,128,97,171,203,193,189,178,181,134,75,93,200,194,193,193,190,201,201,204,206,206,208,224,233,205,191,173,135,118,182,226,212,184,193,164,146,125,80,100,209,193,196,194,191,201,203,206,205,213,185,223,233,203,199,162,126,176,222,210,194,163,178,152,117,120,75,130,207,194,194,195,193,202,204,207,208,214,102,134,237,207,199,147,171,215,220,199,182,158,164,151,97,97,74,195,201,196,196,195,194,203,205,206,219,140,78,71,128,199,188,153,178,204,208,193,180,146,148,139,93,58,134,214,199,200,198,196,194,203,205,216,182,83,78,80,67,91,137,141,170,186,195,183,166,140,144,111,66,69,202,203,201,201,199,198,195,204,210,201,99,79,76,72,81,50,37,71,88,117,150,157,146,137,118,78,47,167,214,203,203,202,201,199,197,204,208,127,76,79,73,70,71,74,22,41,45,42,49,69,83,84,69,43,130,217,204,205,204,203,201,199,196
7,107,115,127,149,158,166,170,173,174,178,180,181,182,182,184,184,185,184,184,182,181,181,180,179,177,175,173,172,107,116,129,150,160,167,172,174,176,179,181,183,184,185,186,187,187,186,186,184,183,183,182,180,179,178,175,174,108,117,131,151,161,168,172,175,178,180,182,184,186,187,187,188,189,188,187,186,186,185,183,182,180,180,177,176,110,118,132,152,161,169,173,176,178,181,184,185,187,188,189,190,190,190,189,188,187,186,184,184,182,182,180,178,111,119,133,153,162,169,174,177,179,182,185,186,188,188,189,191,191,191,190,188,188,187,186,185,184,183,181,179,112,120,134,154,162,170,176,178,180,183,186,187,188,189,190,191,193,193,194,194,193,191,191,187,186,184,182,180,112,120,134,155,163,171,176,178,180,183,187,190,192,194,193,192,190,189,184,174,174,175,183,190,187,186,185,183,113,121,135,155,164,171,177,182,183,183,183,182,174,168,161,143,144,147,140,133,168,172,150,194,188,187,186,184,114,121,137,156,164,171,176,165,157,152,155,153,141,135,131,117,128,120,122,124,134,130,142,185,191,189,186,184,115,122,138,156,162,178,168,135,137,143,142,140,135,128,127,126,122,129,128,124,119,113,126,143,156,192,186,185,115,123,137,157,175,178,157,126,116,117,122,131,140,144,146,131,114,136,133,119,115,106,115,130,125,190,188,186,116,120,145,175,174,163,156,145,139,142,152,152,148,143,135,114,105,110,105,98,101,102,108,123,162,194,188,187,110,138,177,174,166,167,155,139,135,139,144,135,131,124,107,100,115,134,152,166,179,186,191,196,197,193,190,188,139,183,177,171,170,159,140,107,108,119,110,97,92,101,155,184,195,205,206,205,203,200,199,196,195,193,191,189,184,182,174,173,155,142,127,99,99,92,77,72,77,81,87,149,208,197,198,198,198,198,198,197,196,194,192,189,176,176,176,162,146,138,131,123,103,88,90,92,90,87,70,102,207,199,201,201,200,199,199,198,196,194,193,191,175,177,164,144,137,134,143,148,113,89,93,92,90,88,82,86,193,205,201,201,201,200,200,199,197,194,193,191,174,160,140,131,130,128,131,123,94,81,73,77,85,88,77,77,183,206,201,202,200,200,200,199,197,195,193,192,154,139,134,132,130,119,111,101,90,79,78,94,99,88,88,182,204,202,202,202,200,200,199,199,197,195,193,192,137,136,131,125,115,105,99,108,108,94,91,87,84,87,157,207,199,200,201,200,199,199,198,196,195,194,192,190,136,128,116,111,108,106,111,121,109,84,91,123,154,187,203,198,200,201,199,199,199,199,198,197,194,193,191,188,129,123,118,118,114,107,103,96,85,115,176,200,202,200,198,199,199,200,199,198,199,198,197,197,195,193,190,186,102,101,105,103,97,93,95,119,157,189,194,191,193,196,198,198,199,199,199,200,199,199,197,197,195,193,191,192,79,75,51,78,153,154,173,187,191,187,190,194,196,197,198,199,200,198,198,197,196,195,193,190,190,191,187,149,80,74,28,80,166,149,149,144,143,143,144,142,140,140,141,141,137,135,135,133,130,127,124,126,113,95,81,52,72,50,27,83,119,112,114,114,115,116,115,115,116,115,115,114,114,114,112,111,110,110,110,97,60,42,39,35,28,24,35,99,127,122,122,121,121,121,121,121,121,121,121,120,120,121,120,117,117,109,78,49,41,40,37,30,37,53,60,88,124,120,121,121,121,121,121,121,121,120,120,120,117,116,116,116,96,64,37,37,36,33,33,29
15,43,46,51,54,58,63,76,89,99,105,110,114,118,124,129,131,135,138,140,142,144,147,148,148,148,149,150,149,44,47,50,56,59,64,77,89,99,107,111,113,119,125,129,133,137,139,142,144,147,147,149,150,149,151,153,153,45,46,49,56,61,67,81,92,101,109,114,115,121,128,132,136,139,143,144,146,148,150,151,152,154,153,154,154,45,47,50,57,54,61,78,92,102,110,114,117,123,130,133,138,142,144,145,149,151,153,153,155,157,155,155,156,45,47,52,54,91,100,99,99,108,117,115,119,125,131,137,140,141,144,148,151,153,154,155,157,160,159,159,160,45,51,42,100,183,121,113,106,124,136,117,111,113,125,127,138,149,149,151,152,154,157,159,161,161,161,161,161,46,52,42,100,147,77,76,75,117,115,93,94,137,138,110,97,109,134,146,158,161,157,160,163,163,163,163,163,47,49,51,55,72,63,66,61,98,89,69,82,142,141,118,77,96,106,115,112,139,169,160,165,165,164,165,164,47,49,53,58,58,71,82,91,98,94,83,86,129,134,90,82,144,124,122,109,70,129,174,163,168,166,167,166,48,50,53,57,62,72,88,102,113,121,121,121,113,87,64,168,137,137,99,139,113,55,143,175,167,169,170,169,49,49,53,58,60,73,88,101,113,117,128,164,100,65,73,141,131,96,95,139,118,98,49,161,172,170,170,170,47,49,52,57,60,73,89,103,114,117,150,176,132,64,38,40,83,63,122,103,108,119,51,71,182,170,172,172,48,51,53,57,61,74,91,103,115,118,138,179,163,112,87,65,50,68,141,97,108,79,73,26,120,188,171,174,47,50,53,57,61,75,92,104,115,121,152,149,157,140,157,132,69,66,65,74,74,43,32,36,31,160,181,175,48,50,53,57,62,75,90,105,111,140,171,132,129,114,152,124,49,50,54,47,59,40,19,29,16,47,177,179,49,51,54,57,61,76,92,105,114,137,133,91,96,103,130,83,45,52,49,52,63,51,28,27,27,5,89,192,49,50,52,58,62,77,92,105,116,128,144,101,98,66,51,42,32,39,40,43,48,43,43,39,26,23,22,165,49,50,52,57,62,78,94,106,114,136,161,160,129,78,54,79,64,13,44,57,54,50,57,54,34,27,13,89,48,51,54,57,61,78,93,106,118,126,138,159,139,102,93,85,91,20,48,81,73,74,80,69,38,20,26,22,49,50,53,57,62,78,93,107,120,126,132,132,114,85,45,40,82,108,42,80,95,92,82,60,27,24,30,26,49,48,52,55,62,78,95,109,119,126,127,131,110,80,44,24,62,98,52,52,104,101,70,43,25,30,33,31,49,48,51,54,62,78,95,109,120,126,128,136,146,152,154,130,91,120,122,86,82,77,49,38,33,38,37,31,45,47,50,51,60,77,93,107,119,125,127,133,140,145,157,154,60,83,101,114,68,71,56,28,11,10,10,13,43,45,49,50,58,78,94,107,120,125,126,133,142,147,161,125,33,29,5,10,20,23,9,0,0,0,0,0,44,45,48,49,56,75,91,107,119,125,127,135,142,147,165,98,35,39,35,0,0,0,0,0,0,0,0,0,42,44,46,49,55,74,93,107,119,126,129,135,143,149,160,72,33,29,30,21,0,0,0,0,0,0,0,0,40,41,45,47,55,74,91,106,118,126,129,134,142,154,141,40,31,28,21,31,0,0,0,0,0,0,0,0,36,37,42,44,54,72,88,103,116,123,126,133,140,158,105,30,36,24,20,34,0,0,0,0,0,0,0,0
4,193,198,204,207,210,213,216,217,220,221,221,223,225,227,229,228,227,226,227,226,226,227,225,224,224,223,223,223,193,199,205,208,210,211,214,218,221,222,223,225,226,226,228,231,231,225,232,231,228,227,225,225,225,226,225,224,195,201,205,209,212,213,216,219,221,224,225,227,225,239,236,207,213,245,219,213,233,230,228,229,227,226,225,224,197,204,206,210,213,216,218,221,222,221,232,223,231,255,232,204,186,255,216,174,199,236,232,231,229,229,226,225,199,204,207,211,214,217,220,223,219,250,255,243,208,255,243,199,215,255,222,167,156,231,190,226,233,229,228,227,201,205,209,214,216,219,221,225,219,255,255,255,182,232,255,185,231,255,219,154,227,221,148,159,237,227,227,228,201,207,213,214,219,221,223,222,237,255,255,255,171,213,255,181,232,255,201,214,248,178,145,112,212,235,228,229,203,209,214,216,220,222,226,217,255,255,255,246,154,190,236,238,234,245,255,255,227,143,124,111,211,237,230,231,204,208,213,218,221,224,227,219,255,255,244,248,153,156,220,233,255,255,255,255,236,173,115,107,224,235,232,233,204,209,216,219,221,226,223,242,255,255,217,243,160,129,215,151,193,242,250,231,249,197,128,118,235,236,234,233,204,210,214,218,221,228,220,255,255,223,204,184,129,136,221,126,169,227,191,232,255,214,140,151,245,236,235,235,206,212,216,221,223,225,227,255,255,207,184,178,147,151,175,135,162,220,116,242,255,235,161,151,248,235,237,235,209,212,217,222,224,224,235,255,255,208,175,158,141,155,149,163,171,194,171,240,255,253,186,123,221,243,237,237,209,213,219,221,227,223,250,255,255,208,170,151,145,161,160,210,208,238,255,252,255,245,191,130,174,251,236,239,208,214,219,222,229,223,255,255,255,200,171,168,156,148,164,218,236,255,255,255,227,212,202,147,164,252,238,240,208,215,221,224,229,221,255,255,255,197,196,193,159,155,210,255,255,255,255,244,204,173,187,138,196,251,241,241,208,213,218,222,227,221,255,255,255,221,236,203,182,242,255,255,255,255,253,219,185,157,145,140,236,242,240,240,208,213,218,221,227,223,255,255,255,255,255,207,215,255,255,255,255,252,232,202,176,150,121,193,252,239,241,241,209,214,219,223,229,224,255,255,255,255,253,228,220,255,255,255,255,224,213,189,171,135,142,244,243,243,243,243,209,214,219,223,230,223,255,255,255,255,246,232,234,255,255,255,250,210,191,180,158,121,203,253,244,243,243,243,210,217,220,225,231,223,255,255,255,255,248,234,242,255,255,247,223,196,188,173,129,149,251,246,248,245,244,243,211,216,220,224,230,224,255,255,255,255,255,239,238,255,253,230,201,187,185,155,120,219,253,244,246,246,243,242,209,213,220,223,231,225,255,255,252,255,255,234,226,254,250,225,188,172,172,130,177,255,246,245,243,244,243,240,210,217,224,227,232,230,252,255,253,255,250,229,213,251,252,206,166,160,149,156,249,253,252,252,251,250,249,248,176,179,180,180,183,177,209,255,255,255,244,234,207,239,242,184,154,152,134,157,186,178,178,178,176,176,176,179,130,127,126,127,130,120,157,255,255,255,255,246,209,227,240,183,150,138,132,121,119,118,117,116,115,116,114,109,140,140,139,141,144,140,150,255,255,255,255,251,208,205,246,190,145,130,127,132,133,132,129,128,129,127,123,210,140,141,141,142,143,141,137,255,255,255,243,246,211,191,236,185,140,128,125,132,133,133,129,129,132,117,216,255
2,187,189,190,191,194,196,196,196,197,196,196,197,196,196,194,190,190,191,190,191,190,189,188,187,187,186,184,182,189,190,192,194,196,197,197,198,198,198,196,198,197,193,197,212,223,214,194,186,187,190,191,189,189,188,187,184,190,191,193,197,197,197,198,199,199,199,200,196,199,217,241,245,230,219,219,170,147,143,169,191,188,189,188,186,191,193,194,196,198,199,199,198,200,201,197,208,252,240,240,239,212,180,169,138,111,112,105,173,194,190,188,188,193,195,197,197,199,201,202,202,201,203,193,243,250,233,241,201,155,126,121,112,110,112,94,154,198,188,190,190,194,195,198,199,200,201,202,203,203,201,203,255,248,236,187,141,105,97,103,102,112,113,135,185,195,192,191,191,195,197,198,200,203,204,203,205,205,197,221,255,245,177,124,106,93,106,110,148,185,184,196,197,196,194,192,192,196,198,199,203,203,204,206,207,209,198,233,255,219,140,97,104,102,110,166,203,201,200,198,196,195,195,194,193,198,199,202,203,203,205,206,207,209,201,255,252,178,111,88,97,99,116,206,199,198,198,198,197,196,196,195,194,199,202,203,203,206,207,207,210,202,226,255,203,129,88,87,83,97,121,203,201,201,201,199,198,198,197,195,195,198,201,203,204,207,208,208,209,209,255,242,166,114,99,103,94,85,139,210,201,203,201,200,199,199,198,196,196,199,202,204,206,209,209,212,204,250,255,217,159,125,115,112,109,93,158,213,202,203,202,200,200,200,199,197,197,201,204,205,207,210,211,211,213,255,255,200,148,120,124,115,114,102,165,214,203,204,204,202,200,201,201,197,196,203,206,206,209,211,212,207,232,255,243,178,135,123,122,113,116,108,169,215,204,206,204,204,202,202,204,202,198,205,206,208,211,212,216,206,255,255,228,165,128,119,116,112,117,110,176,216,206,207,206,206,206,205,194,182,192,206,207,209,212,214,215,212,255,255,214,160,126,115,115,115,118,103,173,218,207,208,206,208,204,186,185,147,151,206,208,211,213,217,208,240,255,252,204,153,122,111,112,111,111,98,144,221,209,210,210,206,182,191,170,131,191,209,210,213,214,218,211,255,255,240,195,149,118,109,107,106,113,106,110,212,213,211,213,177,179,188,129,167,209,210,212,214,218,212,232,255,255,230,187,143,115,106,102,109,117,117,99,164,226,211,172,164,185,150,128,205,203,211,213,214,219,212,255,255,255,218,180,140,113,104,105,111,114,119,113,109,152,163,160,176,166,128,150,212,203,212,213,215,219,215,255,255,245,216,178,137,114,103,112,113,109,113,116,111,113,153,184,173,143,138,193,209,205,213,215,218,217,228,255,255,241,215,172,139,120,108,121,119,118,123,124,120,137,172,181,159,144,197,212,207,207,214,216,220,214,253,255,255,248,220,178,152,125,113,130,134,138,136,136,129,141,174,154,148,201,217,212,208,206,214,217,219,219,255,255,255,248,222,186,158,131,120,138,147,151,138,134,132,139,143,153,208,216,213,214,209,208,216,219,217,232,255,255,255,244,208,172,155,136,126,140,150,151,141,134,127,131,152,211,220,215,214,212,212,209,216,221,210,252,255,255,255,224,182,152,142,136,135,146,147,143,139,124,153,199,216,219,216,215,214,214,211,208,217,216,235,255,255,249,226,188,154,146,142,133,136,139,138,136,126,163,221,224,218,218,217,214,214,214,211,207,216,224,255,255,243,230,205,158,149,150,143,138,136,132,131,138,182,225,223,219,220,219,217,216,215,214,212,210
4,156,158,159,163,164,167,170,171,171,173,174,174,175,176,177,176,176,176,175,174,175,174,174,174,173,172,172,172,156,159,160,164,165,168,170,171,172,173,175,175,176,178,178,177,177,178,177,175,176,174,174,174,175,174,173,173,157,160,162,164,166,168,170,172,173,174,176,176,177,178,178,178,178,178,178,178,177,176,176,175,175,175,174,172,158,161,164,166,168,170,171,173,175,175,176,177,178,185,175,167,179,181,171,176,179,178,178,177,176,174,174,174,160,162,165,167,169,171,173,174,175,178,179,176,192,199,172,146,177,185,156,147,177,179,179,179,177,176,175,175,160,163,166,168,170,172,174,176,176,203,203,176,180,208,173,148,191,186,156,118,164,165,168,180,179,177,176,176,161,165,167,170,172,173,175,176,186,227,226,187,147,202,176,148,205,188,147,137,174,141,123,168,179,177,178,177,163,166,167,171,173,174,176,175,202,221,221,176,136,196,178,155,199,185,171,179,153,124,97,136,181,179,179,179,164,166,169,172,174,176,177,179,215,202,209,162,121,176,185,187,193,209,223,194,135,99,90,126,182,181,181,180,164,168,171,173,175,177,177,188,218,192,195,167,105,157,171,188,204,215,210,192,155,103,81,135,183,182,181,180,165,168,172,173,176,178,178,209,214,183,175,164,98,143,144,128,171,189,184,194,169,120,84,147,184,182,182,181,165,169,172,174,176,177,186,222,195,165,153,126,96,142,140,102,168,152,165,206,182,137,100,165,185,183,182,182,167,170,173,175,177,176,198,225,186,152,140,125,113,127,125,108,160,129,147,222,199,153,110,168,186,184,183,183,167,171,173,176,178,177,212,227,186,148,129,114,115,120,123,133,148,153,170,219,207,161,111,139,186,186,185,184,168,171,174,177,179,179,224,226,185,146,126,115,118,119,142,165,180,203,204,198,191,158,122,116,183,187,186,185,169,171,175,178,180,183,231,225,181,144,139,126,118,118,159,189,208,209,202,184,157,155,128,120,183,187,187,186,168,171,175,178,179,190,237,223,180,158,160,137,127,157,201,216,212,206,190,164,135,133,114,140,188,187,187,186,166,170,173,177,179,193,238,223,193,187,174,147,177,214,230,224,209,198,174,148,125,111,110,169,188,188,187,186,168,171,174,177,179,196,239,231,211,201,185,158,205,228,234,227,196,182,160,140,118,101,136,187,188,189,187,187,168,171,175,178,179,196,240,236,219,199,188,168,212,232,230,216,181,164,149,133,111,108,173,190,190,190,188,187,169,172,175,179,180,189,237,235,220,199,186,179,212,226,214,196,169,150,140,121,101,142,190,191,190,189,189,188,170,172,176,179,181,186,230,226,212,202,188,184,201,208,193,173,155,147,135,107,112,180,193,192,190,189,188,187,169,172,176,179,182,185,225,214,204,205,193,183,193,200,184,162,144,140,124,103,155,193,192,191,190,189,188,186,168,172,175,179,182,184,220,206,203,203,189,173,188,200,179,149,130,127,112,133,188,193,193,191,190,189,189,187,160,163,165,168,171,172,217,213,207,198,185,170,180,197,166,133,120,116,112,160,177,176,176,174,174,173,173,170,116,116,117,117,118,119,208,224,216,202,188,173,171,191,158,125,114,106,101,110,111,110,109,108,108,109,108,123,103,104,104,104,106,104,197,234,221,206,196,176,160,187,162,124,106,100,98,97,96,96,95,95,95,96,134,191,108,108,109,110,110,106,186,235,219,202,195,176,152,181,162,120,103,97,100,101,100,99,99,99,96,139,205,210
20,157,160,164,168,172,174,177,180,181,183,184,185,186,187,188,188,192,184,188,187,188,187,187,186,186,186,185,183,158,162,166,171,174,176,178,181,183,185,186,187,188,189,190,190,215,164,176,184,188,190,189,188,188,187,186,186,160,164,168,173,176,178,180,184,185,187,188,189,191,193,192,192,225,160,172,173,167,192,192,191,191,190,188,188,162,166,169,174,178,180,182,185,186,188,190,192,193,193,194,195,226,165,187,187,144,195,195,194,194,193,192,190,164,167,171,175,180,181,185,188,189,190,192,194,195,196,195,198,233,182,188,200,140,194,196,196,196,195,194,192,165,170,173,177,181,183,186,189,191,192,194,196,197,198,197,203,235,182,195,214,148,192,199,200,199,198,196,195,167,172,175,179,182,185,189,192,194,195,196,196,198,199,200,210,227,179,207,211,148,189,201,201,201,200,198,196,170,174,177,181,185,188,190,193,195,196,199,200,202,214,205,210,222,176,214,207,144,189,203,203,202,201,200,198,171,176,179,184,187,189,193,194,197,199,200,202,221,248,223,168,182,166,212,204,145,194,205,205,204,203,202,200,173,178,182,186,188,192,194,196,198,201,207,225,223,208,211,171,129,135,188,186,145,199,207,207,205,205,204,202,175,179,183,186,190,193,197,198,200,201,228,241,229,184,190,191,184,156,144,159,138,202,209,209,207,206,206,205,177,180,184,188,192,196,199,200,202,204,230,196,189,205,156,196,217,183,126,128,129,205,209,210,209,207,207,207,178,182,186,190,193,197,200,201,204,204,231,185,128,132,109,137,209,199,145,116,120,205,211,212,211,209,209,209,179,184,187,191,195,199,201,204,206,207,231,190,170,140,113,117,185,224,178,121,116,205,213,213,213,211,210,210,181,185,188,193,197,200,202,205,207,210,243,219,174,142,129,140,163,241,207,141,111,202,214,216,215,213,212,212,182,185,189,194,198,200,204,207,209,212,244,211,161,141,140,159,187,248,224,163,115,197,216,216,216,214,214,213,184,187,191,196,200,202,205,208,209,213,245,215,175,159,159,173,223,252,224,176,123,196,217,217,217,216,215,215,186,189,192,197,201,204,207,209,212,215,249,227,189,168,179,195,249,250,214,174,125,196,220,221,219,218,217,216,186,190,194,198,202,205,207,211,214,217,250,236,204,174,193,217,254,246,210,168,128,196,222,222,220,219,219,219,186,190,194,198,201,204,207,211,213,215,248,242,209,191,194,234,251,233,205,161,124,193,223,221,220,220,220,219,186,191,195,199,201,205,208,211,213,214,245,245,215,211,199,238,248,221,196,155,119,190,223,223,221,218,218,218,187,192,196,199,203,207,210,212,214,215,236,248,226,223,211,225,236,209,187,152,112,190,224,223,222,221,219,219,187,192,196,200,204,208,210,213,215,217,227,248,234,228,214,204,218,188,179,142,108,197,224,224,223,223,222,221,188,193,197,201,205,208,210,214,216,219,222,248,241,221,196,184,193,174,177,140,113,214,226,225,225,223,223,219,189,194,198,202,206,208,211,214,217,217,215,247,233,205,171,162,180,172,170,125,138,226,228,227,228,226,208,153,183,188,193,199,202,206,210,214,198,123,98,229,218,186,159,157,188,164,154,104,172,228,228,228,228,204,137,111,144,146,148,151,153,158,160,164,152,94,47,189,223,194,158,167,203,143,124,79,73,165,195,196,189,131,99,93,111,110,113,116,118,117,116,120,130,123,97,132,197,182,165,178,196,121,99,54,48,94,120,126,134,109,84,74
16,145,156,162,167,172,178,183,189,192,196,198,203,207,209,212,215,217,217,218,220,221,221,222,223,224,224,224,224,149,160,166,169,174,181,187,193,196,199,201,206,210,213,216,219,220,221,225,226,226,227,226,227,227,227,227,227,151,163,168,172,177,185,191,196,200,202,206,210,213,216,219,223,225,222,218,216,220,227,232,231,229,231,231,231,153,165,170,174,181,187,193,198,201,205,208,211,215,219,223,219,208,198,186,169,163,164,184,223,236,233,234,235,156,168,172,177,182,189,196,202,205,210,214,216,217,213,203,191,186,190,179,160,151,141,124,140,210,237,236,237,159,169,173,179,185,192,198,205,206,209,209,201,194,188,185,187,180,173,166,143,142,144,122,109,132,228,242,240,160,171,175,179,187,195,201,203,218,211,194,171,179,179,189,175,165,169,149,128,128,129,117,117,107,189,248,241,162,173,178,182,191,197,202,217,240,223,225,172,189,206,191,158,167,154,136,123,121,118,115,116,109,168,248,242,165,174,179,184,192,199,206,224,217,222,221,184,220,222,155,152,151,127,125,117,114,113,117,119,109,186,250,246,168,177,181,187,195,200,209,204,210,231,204,197,240,214,157,148,130,116,115,114,113,110,114,118,116,216,251,249,170,180,184,188,196,202,210,208,218,237,217,212,235,196,181,163,134,113,110,112,113,113,114,110,144,241,250,251,171,181,186,189,197,205,211,215,216,233,227,213,230,209,188,157,131,113,107,110,114,115,115,108,178,253,253,253,173,183,186,192,200,209,214,219,213,233,228,224,226,203,166,133,117,104,109,113,116,117,114,112,213,255,253,255,176,183,186,193,202,210,216,222,219,231,234,231,208,176,136,113,93,89,112,121,117,117,113,123,239,255,254,255,178,186,188,195,203,211,217,222,224,231,235,219,183,145,113,73,56,95,117,125,118,117,107,139,255,255,255,255,181,188,191,198,206,213,219,224,227,224,220,190,154,129,72,40,52,97,120,133,129,121,101,157,255,255,255,255,182,189,193,200,208,214,220,225,229,215,197,163,138,106,49,47,52,83,115,135,139,121,97,177,255,255,255,255,182,191,194,200,210,215,221,226,232,218,178,143,124,89,63,53,68,69,105,143,139,117,101,190,255,255,255,255,185,190,194,202,211,217,223,227,234,214,158,115,103,104,101,83,81,89,119,150,130,119,103,200,255,255,255,255,188,192,195,204,212,218,224,228,233,208,138,134,116,94,103,98,98,137,139,155,124,120,105,215,255,255,255,255,189,193,196,205,214,220,224,233,226,182,117,235,241,172,141,118,153,155,150,151,119,118,105,221,255,255,255,255,189,192,197,206,213,220,222,220,204,129,170,255,247,246,223,187,162,157,170,150,113,116,100,213,255,255,255,255,189,192,197,206,214,220,219,210,160,124,240,247,246,234,214,186,155,174,183,154,113,112,100,187,255,255,255,255,188,193,198,206,213,226,232,190,113,204,253,246,245,235,210,187,156,184,190,157,115,109,110,121,161,142,173,216,189,193,199,204,223,254,202,120,171,245,241,247,243,232,206,185,157,181,198,164,107,112,115,98,80,81,146,168,190,193,199,202,244,203,136,183,243,238,243,245,240,229,209,187,157,161,200,179,111,111,112,104,80,115,111,102,190,193,199,207,220,186,212,240,235,240,244,246,237,227,207,185,159,143,186,192,126,110,110,96,50,91,108,98,190,194,201,210,216,229,232,231,237,240,243,247,234,225,208,180,154,143,150,182,145,111,111,84,45,77,108,91
15,170,147,144,136,97,152,72,32,75,78,80,84,88,91,103,117,131,141,146,150,157,164,168,172,175,178,182,185,170,149,148,129,109,155,59,38,77,80,82,84,88,91,104,119,133,143,147,153,159,166,171,174,178,181,184,187,171,155,153,120,124,157,47,46,79,80,83,86,89,92,106,121,136,146,150,155,161,169,174,177,181,184,187,190,169,158,157,111,138,154,37,55,80,81,84,87,90,94,109,124,138,148,152,157,164,172,177,181,184,188,190,193,167,161,160,102,150,148,30,62,80,82,85,89,93,96,112,128,141,151,155,159,168,175,180,185,188,191,194,196,164,167,159,115,147,139,90,104,106,112,121,122,119,102,104,116,132,148,155,161,169,175,184,188,192,195,198,201,162,176,148,126,128,125,120,111,106,111,109,106,100,107,107,105,108,114,123,133,134,130,143,171,194,199,202,204,165,160,126,118,117,113,108,101,102,104,104,101,102,114,116,114,112,110,112,123,129,118,109,99,132,187,205,208,170,164,140,107,110,98,97,95,100,104,104,103,108,119,121,118,111,107,112,123,124,120,114,99,90,99,158,204,172,169,148,116,166,81,55,86,89,91,95,98,108,118,121,119,110,111,120,123,118,120,114,106,99,92,87,113,176,172,137,132,176,62,42,84,83,84,86,89,91,107,126,150,132,122,121,120,121,120,113,110,109,109,95,83,180,177,126,148,175,49,49,84,83,83,86,89,91,107,137,177,163,135,123,119,108,116,109,112,115,122,107,91,182,180,116,159,171,38,56,85,84,84,86,89,92,110,170,163,144,106,100,103,87,95,109,114,125,132,115,102,182,181,110,170,164,31,63,85,83,84,87,90,93,138,176,145,127,95,60,66,53,63,139,133,138,130,112,109,182,182,105,176,153,27,70,85,83,84,87,90,105,183,162,129,108,87,49,41,36,64,159,156,146,120,105,109,182,180,106,182,142,24,75,86,84,84,86,89,135,195,165,123,100,65,38,39,34,88,161,170,157,123,100,104,185,180,109,185,127,26,81,86,84,85,87,88,117,188,178,139,105,54,34,40,50,99,156,178,163,127,100,95,189,175,117,191,114,28,84,86,83,84,86,89,96,172,193,166,115,68,33,68,82,95,152,168,147,121,100,84,193,169,129,198,100,33,87,86,83,83,85,89,96,138,207,185,135,84,47,54,104,141,155,142,118,109,94,76,195,158,141,200,85,37,89,85,81,81,83,86,95,119,198,195,169,152,144,147,160,139,124,106,95,95,91,80,198,147,156,201,69,42,88,83,81,80,83,84,95,118,172,200,173,156,152,159,156,118,92,89,84,87,91,92,199,135,169,198,57,47,87,82,79,79,82,84,95,123,188,162,139,135,142,161,155,105,82,84,84,89,91,86,200,126,183,193,45,53,86,80,77,77,81,84,95,146,186,147,130,133,132,152,148,108,82,99,169,113,70,59,199,118,192,186,36,57,84,77,75,75,78,81,93,146,170,141,124,124,117,133,137,110,82,180,229,127,71,59,198,116,196,178,92,102,112,103,97,93,90,92,103,128,148,145,151,153,114,92,128,103,96,170,230,134,77,63,196,119,199,180,150,117,123,125,124,122,124,127,126,127,130,136,143,181,152,99,139,131,119,160,184,122,81,67,192,123,202,177,143,113,119,119,120,121,122,122,123,123,122,125,125,150,177,124,120,126,126,128,130,105,76,72,188,130,204,174,140,118,120,122,123,123,123,124,126,127,128,130,128,131,148,137,130,132,133,133,134,105,64,44
22,84,86,92,99,107,113,117,119,122,127,130,133,135,136,139,141,141,142,142,142,142,142,141,140,140,140,140,139,84,87,93,101,109,115,119,121,125,129,132,135,137,139,141,142,142,144,145,145,145,145,144,143,143,142,142,141,85,89,93,102,110,116,121,123,127,131,135,138,139,140,143,144,145,146,147,147,146,147,146,146,145,145,144,144,86,89,94,103,111,118,123,124,127,132,137,137,142,143,144,146,147,148,148,150,152,150,149,149,147,149,147,146,86,90,96,105,113,121,125,126,130,134,137,157,124,138,148,148,149,150,153,144,136,154,151,150,150,135,147,148,86,89,96,106,114,122,125,128,132,134,145,179,105,124,153,148,151,151,167,134,93,156,152,160,150,92,128,155,87,89,96,107,115,122,126,128,134,136,148,184,114,120,157,150,153,157,169,116,94,161,154,168,143,87,141,156,87,90,97,108,117,124,127,129,136,138,146,188,130,116,158,153,153,166,168,99,119,164,169,162,109,103,161,153,88,90,98,109,118,126,128,131,137,140,148,192,146,110,157,156,156,163,152,89,139,168,177,153,97,140,162,156,88,91,99,110,119,126,129,132,138,143,147,187,149,105,152,158,161,169,137,81,158,177,157,123,107,163,158,158,89,91,100,111,120,127,131,134,139,145,146,183,166,114,142,161,168,183,125,84,190,187,150,92,136,166,159,160,88,91,100,111,120,129,133,135,141,147,145,180,177,128,133,166,167,174,87,115,204,179,133,96,164,162,163,162,89,91,101,112,121,130,133,136,142,148,147,165,172,119,100,153,158,163,139,177,183,160,98,118,173,163,164,163,90,92,101,113,122,132,134,137,142,148,150,151,171,116,120,160,165,171,186,182,168,125,82,157,169,165,164,164,89,92,103,114,124,132,135,138,142,152,165,126,161,138,141,181,162,176,176,177,149,91,116,177,167,168,165,165,89,92,103,115,124,133,135,139,140,169,173,146,132,137,124,145,161,176,172,157,128,87,148,176,169,169,167,167,90,93,103,115,124,133,137,141,143,166,165,167,159,156,121,77,123,156,154,126,116,85,160,175,171,170,169,168,90,93,105,115,125,134,137,141,143,160,171,150,157,146,116,99,80,88,111,109,99,85,172,175,173,172,170,169,89,93,105,116,127,134,137,142,143,166,165,147,133,125,135,125,105,82,78,74,94,83,170,176,173,172,171,171,90,93,105,117,127,134,139,142,145,162,196,171,129,121,133,140,123,106,101,78,67,76,166,178,174,173,173,172,90,93,105,117,127,135,138,142,147,157,204,163,148,146,167,175,137,118,111,75,59,68,168,178,175,174,173,173,89,93,105,117,128,135,139,142,148,154,202,172,154,174,195,187,152,126,108,73,56,79,178,176,176,175,173,174,89,93,106,117,128,137,138,142,150,152,195,182,156,172,195,168,150,117,102,78,52,98,186,175,177,175,175,174,88,93,106,118,128,135,139,143,151,151,185,191,170,165,195,156,152,136,101,78,51,106,189,176,178,176,175,174,86,92,106,118,128,136,138,143,150,152,172,194,177,154,189,163,147,140,103,73,50,120,188,177,179,177,176,175,85,91,106,118,128,135,137,143,150,156,169,189,179,143,170,159,135,123,89,66,56,151,185,177,178,176,176,175,85,90,105,117,127,135,138,143,152,147,124,171,171,129,132,131,110,95,74,64,76,178,180,178,179,177,176,176,83,89,104,117,127,135,138,142,157,96,21,140,158,114,123,128,115,92,80,60,99,189,179,179,179,177,176,177
10,117,124,127,130,135,142,148,152,155,159,162,165,168,170,171,174,176,177,179,178,176,181,180,181,180,179,179,178,120,126,130,133,138,144,150,155,158,161,164,167,170,171,173,178,179,180,179,186,192,164,184,184,183,182,182,181,120,128,131,133,140,146,152,157,160,163,165,170,172,173,177,179,180,181,175,208,213,139,182,185,185,185,184,183,121,128,131,135,142,148,153,157,162,164,167,170,174,176,180,181,183,184,178,215,221,141,176,189,186,187,185,185,124,130,133,136,143,150,156,159,163,166,169,172,176,179,181,184,185,187,182,209,236,154,169,193,188,189,189,188,124,132,134,138,145,151,157,160,164,168,171,174,179,181,182,184,186,188,185,205,253,177,159,198,191,192,191,191,127,133,136,140,147,153,158,163,168,171,174,178,180,182,184,186,187,190,187,204,255,195,146,198,193,194,193,194,128,135,137,142,149,155,160,165,170,173,176,180,182,185,185,187,192,192,190,200,254,205,141,198,196,195,195,195,129,136,137,143,150,157,162,167,172,173,177,182,184,183,198,198,160,195,193,199,253,210,137,193,199,197,197,197,132,139,141,144,152,159,163,167,171,181,180,178,185,187,216,214,130,153,201,202,253,217,137,188,204,199,201,200,133,139,142,146,154,160,164,170,170,211,177,127,127,136,179,215,189,156,182,209,246,212,140,175,207,201,202,201,134,140,142,148,156,162,166,172,175,190,154,114,109,117,115,192,237,193,136,211,225,206,152,161,210,202,203,204,135,141,144,150,157,163,168,173,177,181,171,153,139,133,127,139,216,201,132,165,184,186,158,151,212,205,206,205,137,143,146,152,159,166,171,175,180,183,190,186,214,208,120,104,199,229,173,113,122,147,151,133,205,207,207,207,139,143,148,153,160,167,172,176,182,185,186,196,251,207,99,86,157,248,201,132,100,122,137,119,192,212,207,208,139,144,149,154,161,167,173,178,182,188,184,228,255,198,110,110,104,241,225,170,115,108,135,118,182,216,207,209,140,146,148,155,162,169,175,179,185,190,187,225,250,230,132,79,121,232,242,194,135,102,129,120,185,219,210,212,141,147,149,156,164,170,176,180,186,190,191,198,236,247,166,116,146,232,241,191,138,111,121,116,191,221,213,213,142,147,151,157,165,172,178,182,187,190,194,193,218,222,163,151,159,241,233,205,156,119,118,113,197,220,214,216,144,149,152,159,167,172,178,183,188,192,195,199,197,215,213,175,192,251,230,213,176,133,118,111,203,220,216,217,146,150,153,160,167,173,179,184,189,192,197,202,199,233,255,223,224,255,234,206,180,145,122,108,205,220,217,218,145,149,153,160,167,173,179,184,189,193,196,202,201,224,255,239,241,254,235,206,181,152,128,110,207,222,220,220,145,149,152,159,167,172,177,183,188,192,197,200,201,213,255,251,244,251,233,206,177,159,134,112,207,221,218,219,146,151,153,161,169,175,180,185,189,194,198,201,203,210,253,255,250,251,230,206,184,166,139,108,207,222,220,220,146,150,154,161,170,175,181,186,191,195,199,202,205,206,244,255,254,250,228,213,191,163,135,110,214,222,221,222,147,150,155,163,171,176,182,186,191,196,199,203,207,204,231,255,245,241,223,224,201,160,126,119,224,220,223,224,146,151,155,162,170,175,182,188,193,197,201,204,207,212,225,250,230,228,227,225,213,161,117,121,229,226,223,224,142,148,153,160,168,173,180,188,191,196,200,202,208,177,112,210,228,238,236,223,216,157,116,74,80,188,231,223
19,171,172,174,176,176,177,179,180,180,181,181,181,180,179,179,178,179,179,178,177,177,176,175,175,174,173,172,172,172,174,175,177,179,180,181,182,182,182,182,182,181,180,178,162,161,178,179,178,179,178,178,177,175,174,173,173,173,175,177,180,181,182,182,183,183,183,183,182,181,189,181,144,109,163,181,180,180,180,179,178,177,175,174,175,174,176,179,181,182,183,183,184,183,183,184,184,182,198,181,145,99,139,184,181,180,180,180,180,178,176,176,176,176,178,181,182,183,184,185,186,185,185,186,185,185,201,178,146,99,127,185,182,182,181,181,180,179,178,178,178,178,180,182,184,186,186,188,187,188,187,187,187,189,200,167,136,92,121,186,183,183,181,181,180,179,179,179,179,179,182,184,186,187,187,188,188,188,188,188,188,192,199,157,119,93,128,185,179,180,176,187,191,167,179,180,180,180,183,186,187,188,189,189,189,188,189,189,188,192,195,167,147,158,175,184,176,187,178,205,207,139,176,181,181,182,184,186,187,189,191,191,190,190,191,195,197,195,188,184,180,194,198,187,174,182,176,169,157,142,182,182,182,184,186,187,189,191,192,192,192,198,205,210,213,208,192,175,167,165,161,150,137,132,131,131,147,176,184,185,184,186,188,189,191,191,199,200,197,207,214,214,207,194,183,173,163,131,101,119,135,153,164,179,185,186,186,185,184,187,189,191,192,198,215,208,203,201,201,201,198,197,195,194,190,145,102,175,188,190,189,189,188,187,186,186,184,188,190,193,192,205,219,211,206,201,204,208,208,204,198,194,181,137,90,170,192,191,190,190,188,188,187,186,186,190,192,194,195,204,219,209,201,205,211,212,211,203,194,189,170,122,79,138,194,192,192,190,189,189,188,187,187,192,194,195,195,204,213,197,193,198,205,207,200,192,197,201,195,140,79,97,187,194,193,192,191,189,189,188,188,193,195,197,197,209,203,190,190,190,181,183,199,208,202,197,197,140,79,77,170,196,195,193,193,192,191,190,189,193,196,198,199,207,192,192,194,192,183,199,207,198,189,186,175,126,80,68,156,198,196,195,194,193,193,192,191,194,197,199,199,203,204,208,206,209,211,210,200,190,184,174,153,111,76,71,169,198,196,196,196,195,194,193,192,195,198,200,200,201,217,218,207,204,204,200,188,178,175,185,186,142,74,121,196,198,197,196,197,196,196,194,193,196,198,200,202,200,211,218,201,192,183,163,158,187,204,204,200,160,86,146,202,199,198,197,198,197,196,195,195,196,199,201,203,203,199,208,196,188,179,175,193,211,198,180,171,141,83,115,201,201,200,198,199,198,196,195,195,197,199,202,204,205,200,201,211,209,201,204,205,194,177,163,148,117,77,138,204,202,201,201,199,198,197,196,195,197,199,202,205,207,202,198,212,211,193,191,190,177,159,137,110,110,142,190,204,203,202,202,201,199,198,198,196,197,199,202,205,207,203,194,201,200,180,176,167,149,126,95,77,164,204,204,204,203,203,202,201,200,199,199,197,197,199,201,204,206,202,188,194,190,166,155,139,116,94,77,74,154,207,204,203,203,202,201,200,199,199,198,197,198,200,202,204,206,204,184,184,182,158,143,136,119,86,76,72,117,206,204,204,203,202,200,200,200,199,198,197,199,201,203,206,207,204,184,179,174,155,135,117,101,82,76,71,112,206,205,204,203,201,201,201,201,199,198,197,199,202,204,206,208,202,184,182,171,163,141,114,93,84,78,71,118,208,206,205,204,202,202,202,202,201,200,198
18,178,178,180,180,180,181,181,181,181,181,181,181,179,179,179,178,177,177,176,176,174,173,173,171,170,169,168,167,179,180,180,180,181,183,183,183,183,184,183,181,180,179,178,178,179,179,178,176,175,175,173,173,171,170,169,168,180,180,181,181,182,184,184,184,184,184,184,184,183,184,186,182,181,183,183,183,176,176,176,174,172,170,169,168,181,181,182,183,185,185,185,185,186,185,185,184,186,174,153,175,186,161,138,153,183,178,168,175,176,171,171,170,181,183,185,185,185,186,187,187,187,187,188,189,189,159,119,112,156,151,119,89,152,155,123,116,163,176,172,173,182,183,186,186,186,187,188,188,188,183,156,159,185,164,137,108,116,179,126,108,92,129,124,90,107,182,173,173,183,185,186,188,187,188,189,187,192,183,147,130,134,175,144,120,103,169,134,119,112,109,119,106,78,161,178,172,186,187,187,188,189,189,189,190,193,189,169,155,123,139,162,123,99,128,147,131,125,118,134,120,76,154,181,174,186,187,188,188,189,191,192,192,191,176,182,154,140,105,147,131,107,104,150,140,130,129,127,114,76,158,182,176,187,187,188,188,190,191,192,192,199,155,153,156,129,83,123,138,106,90,135,129,126,125,125,115,75,148,185,176,187,187,189,190,191,192,192,195,191,136,111,157,105,74,107,116,88,78,120,97,110,152,146,121,81,132,188,177,187,188,190,191,192,193,192,197,188,154,126,147,106,78,97,98,80,72,98,80,91,172,152,129,89,116,190,178,189,190,191,191,193,193,192,198,193,175,141,133,122,87,95,107,85,70,97,83,72,149,160,137,102,95,187,179,190,191,192,192,193,194,193,198,194,165,137,115,105,76,96,115,82,69,90,120,154,154,175,149,111,80,175,183,190,191,192,193,193,194,194,199,180,148,129,111,92,79,82,86,76,82,115,168,175,162,158,146,109,75,163,187,191,192,193,193,193,196,195,198,191,170,147,125,103,100,94,93,113,139,169,178,170,165,142,127,100,74,169,186,192,192,193,194,195,197,196,198,195,177,153,126,103,99,106,121,144,166,185,184,165,151,134,109,84,92,188,183,192,192,193,194,196,198,198,198,196,181,159,134,116,109,109,119,161,180,189,179,156,141,126,103,67,130,194,181,193,193,194,196,197,197,198,198,195,185,164,143,125,118,112,129,177,185,184,171,150,133,120,94,71,172,189,184,193,195,195,196,198,198,199,197,191,182,163,144,132,124,118,138,185,180,174,164,146,126,113,80,96,194,186,186,193,196,196,196,197,198,199,197,185,174,164,148,136,135,123,144,180,176,166,150,139,122,105,67,134,197,185,186,194,196,197,197,197,199,199,200,186,175,167,153,142,144,128,149,173,172,161,140,128,113,93,69,174,191,186,186,195,196,197,199,200,201,201,203,194,173,167,159,149,141,125,145,169,163,155,136,117,104,73,103,198,186,188,187,195,197,197,199,200,200,201,203,199,180,172,165,153,140,124,132,159,154,142,124,106,93,63,163,196,189,189,187,196,197,199,200,200,201,201,203,202,190,177,166,157,147,134,130,146,146,132,114,101,70,100,200,190,190,189,188,196,197,199,200,200,202,202,201,201,197,185,170,155,144,137,131,139,140,125,109,90,62,165,198,191,191,190,189,198,198,199,200,201,202,202,201,201,199,189,166,154,151,149,144,136,134,119,104,73,105,202,191,192,192,191,189,198,199,200,200,200,202,202,203,199,198,188,170,166,163,151,143,130,129,113,95,68,157,201,193,193,192,191,190
13,155,156,157,158,159,160,161,161,160,160,160,160,160,160,159,158,157,157,155,155,154,153,152,151,150,150,150,148,157,158,158,160,161,162,163,164,163,162,161,161,161,161,160,158,158,157,157,157,155,155,153,152,151,151,150,150,158,159,161,161,163,164,164,165,165,163,163,162,163,161,162,160,159,158,159,159,157,157,155,154,153,153,152,151,160,162,163,163,164,165,164,165,164,164,165,163,163,164,164,163,162,165,162,159,159,157,157,157,156,155,153,153,161,163,163,164,165,166,166,166,165,165,166,165,165,165,163,163,147,137,160,161,159,166,159,157,157,158,156,154,162,165,166,166,167,167,168,168,168,171,168,168,163,164,168,161,122,70,87,158,127,119,157,161,158,159,158,156,164,165,167,167,169,170,168,173,160,138,168,173,138,114,160,150,116,75,47,113,110,60,91,166,159,159,159,157,165,166,169,171,170,170,175,184,161,98,112,167,135,90,140,157,111,85,47,99,104,80,51,137,167,159,159,158,167,169,171,172,172,169,199,190,161,109,109,162,126,96,158,184,125,85,58,128,116,89,40,128,170,160,160,159,169,170,172,172,173,172,206,193,165,110,120,167,122,91,187,189,119,75,94,162,113,73,43,141,169,162,161,161,170,171,173,173,171,194,205,179,168,103,114,162,127,76,130,159,91,65,78,106,74,47,52,159,167,164,164,163,171,173,175,172,183,204,178,152,126,76,111,157,119,80,32,62,91,85,74,73,78,50,82,174,165,166,166,165,172,174,175,171,198,202,164,120,87,58,104,123,99,57,12,27,72,69,92,114,115,82,96,178,166,168,167,165,173,175,175,176,213,210,188,145,111,53,85,97,75,74,101,139,143,135,137,123,132,112,74,163,172,169,168,167,174,176,175,186,218,205,189,176,149,92,89,129,147,178,183,175,166,156,147,111,101,97,65,132,180,170,171,169,177,178,175,191,217,204,193,181,152,138,143,175,189,181,174,166,159,145,133,113,91,94,70,107,183,171,172,170,178,179,175,195,215,205,194,181,159,158,169,181,190,178,171,166,157,141,124,113,98,90,68,89,183,172,172,171,178,178,176,196,213,203,194,179,162,159,169,178,191,179,172,166,148,129,117,105,87,82,50,115,183,172,172,172,179,179,176,191,210,201,190,170,153,151,163,172,177,173,168,154,134,120,107,90,78,47,86,180,174,174,174,173,177,183,190,188,197,191,171,151,143,158,164,166,160,162,157,141,128,110,90,75,46,55,170,180,176,175,174,173,186,162,115,176,188,176,166,157,152,163,169,160,149,143,136,119,101,83,65,39,61,161,183,177,178,176,176,173,187,108,37,87,193,189,185,181,161,151,164,151,127,113,116,98,78,52,58,113,175,184,179,179,178,178,176,175,135,67,75,55,101,182,190,181,160,139,149,134,106,96,95,70,42,87,171,191,182,179,182,180,179,178,177,176,84,65,66,67,53,83,136,134,130,127,142,117,93,84,66,42,122,189,187,181,183,183,181,181,180,179,178,177,74,65,60,61,69,23,32,49,48,52,66,67,64,57,36,130,200,185,183,185,184,184,181,182,181,180,179,178,67,60,59,56,67,46,9,39,38,30,25,24,24,27,25,146,189,188,186,185,185,183,182,183,183,180,180,178,63,61,56,53,62,54,2,25,34,27,27,24,22,17,0,39,190,186,185,185,185,183,182,183,182,180,179,178,62,58,56,46,57,49,0,17,28,24,25,21,22,15,0,128,196,183,185,185,184,183,182,181,181,179,178,177
0,159,161,164,166,168,169,170,174,173,171,171,173,172,171,172,171,169,169,169,168,166,164,164,161,159,160,158,157,160,163,166,168,170,171,172,174,174,172,174,175,175,174,174,171,171,171,169,168,166,164,164,164,164,162,160,158,160,164,167,168,170,171,172,176,176,175,176,176,174,174,175,178,177,170,171,176,170,166,165,161,150,161,162,161,162,163,167,169,173,174,176,177,177,177,178,179,181,177,174,157,161,182,164,140,166,171,172,168,96,144,167,161,163,165,170,171,174,175,176,178,181,179,178,165,145,170,158,102,68,121,131,78,70,163,181,160,72,146,169,162,163,168,170,172,174,176,178,173,161,183,182,135,76,67,123,105,73,31,82,100,41,107,184,140,65,155,169,164,167,170,172,176,177,176,178,164,99,92,165,130,90,40,98,119,97,51,75,108,58,95,169,137,54,138,175,164,168,171,174,176,176,178,182,160,128,61,117,149,98,67,95,135,97,58,69,109,57,66,160,123,38,97,182,165,169,172,175,177,176,193,181,173,147,97,77,160,105,67,69,136,94,52,64,104,58,22,117,117,40,52,178,166,171,172,175,175,184,182,159,192,147,109,55,137,106,62,52,132,93,39,39,76,46,20,90,124,42,51,179,168,171,174,177,175,202,199,136,172,141,121,47,97,112,66,39,120,80,26,14,40,26,42,124,113,34,85,184,168,171,175,177,182,197,180,142,142,114,82,26,73,106,53,22,68,41,21,29,44,24,64,125,104,31,121,182,169,172,176,177,185,189,160,121,132,91,37,21,70,61,32,27,48,42,17,40,41,31,99,122,102,35,153,178,171,173,177,179,179,205,200,166,124,72,62,35,66,66,15,17,74,39,24,66,55,65,117,126,82,44,175,174,173,173,177,180,182,205,204,184,149,88,70,39,86,90,25,55,88,92,120,120,112,95,110,94,52,57,187,173,175,175,178,180,183,204,207,189,166,125,89,80,72,78,129,162,156,157,147,125,118,93,68,61,25,77,192,173,176,174,178,182,183,201,207,189,158,132,99,87,102,132,173,161,165,148,136,122,108,86,46,44,14,133,187,175,176,173,176,180,181,195,200,185,162,146,112,93,118,145,167,158,155,140,126,114,94,73,49,14,90,188,176,177,176,173,176,180,183,189,196,182,166,149,123,104,135,140,153,156,143,128,111,98,82,64,20,59,187,179,178,177,175,175,178,181,184,184,192,181,168,150,127,105,119,132,137,153,133,116,101,86,72,36,35,173,185,180,179,178,176,175,178,181,184,183,186,181,165,150,125,101,92,114,122,130,121,106,93,74,42,25,157,189,179,181,180,176,177,176,178,180,183,185,185,186,166,154,125,86,77,95,105,100,97,92,75,38,23,141,192,178,181,181,179,187,169,177,179,183,193,193,180,159,158,143,102,67,76,87,89,77,66,64,35,70,157,193,182,186,186,183,188,116,38,163,167,172,131,159,196,159,146,126,106,94,91,78,79,62,46,20,107,184,180,174,180,170,157,171,100,5,0,83,86,81,0,92,208,172,158,137,127,110,86,63,65,50,27,17,76,76,80,80,57,26,13,21,0,0,0,79,82,47,16,32,127,162,157,144,123,96,70,52,47,35,10,36,69,56,29,4,0,0,0,0,0,0,0,86,81,32,30,21,21,67,115,122,107,76,55,43,34,16,0,13,43,5,0,0,0,0,0,0,0,0,0,86,66,29,28,23,19,6,29,63,63,44,30,21,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,193,193,193,194,194,194,193,193,193,194,193,194,194,194,195,195,195,194,194,193,194,194,193,193,193,192,190,189,195,195,195,194,194,194,195,196,194,195,194,194,193,197,195,196,197,197,196,195,194,195,192,194,193,192,191,192,196,195,196,196,196,195,196,196,197,196,196,196,193,196,199,196,197,198,201,198,196,195,195,195,195,193,192,193,196,197,196,196,198,197,196,197,198,197,196,209,196,166,171,196,182,158,178,202,200,197,195,195,195,195,194,194,196,196,198,199,200,200,198,196,200,195,186,199,227,189,139,186,200,154,111,178,172,184,200,196,196,196,196,195,199,199,199,200,201,200,200,197,211,219,201,149,194,213,141,179,214,168,112,177,153,110,174,204,198,198,198,196,200,200,200,200,200,201,200,202,210,214,204,154,162,208,130,161,224,165,133,203,168,110,106,202,200,199,198,199,200,201,201,202,201,202,199,213,204,192,209,144,140,201,141,128,202,136,126,205,179,118,97,202,200,201,199,200,200,201,202,203,202,200,202,218,182,148,198,154,121,196,182,156,169,157,181,216,194,129,123,209,201,201,200,201,200,201,202,204,203,201,211,212,180,140,170,153,103,148,174,180,177,193,202,202,177,145,118,204,203,202,201,201,200,201,202,204,203,205,217,203,189,158,131,107,92,119,115,156,163,172,181,179,156,168,103,169,209,203,203,202,202,202,202,204,204,210,212,185,160,146,124,98,94,127,92,111,131,134,152,143,162,176,120,127,213,203,203,203,202,203,203,204,205,214,214,179,141,119,114,103,107,130,111,142,146,128,103,143,205,189,148,99,195,207,205,207,202,202,203,205,204,220,226,194,155,118,97,95,115,118,135,174,178,145,136,168,211,202,176,108,147,214,205,208,201,201,202,205,203,223,228,204,162,116,98,95,122,128,172,177,180,174,200,203,193,210,178,117,109,212,207,207,202,201,202,203,203,226,229,213,167,116,108,100,111,138,171,176,195,207,203,204,192,182,157,121,96,200,207,207,201,201,203,204,203,228,225,218,170,121,127,121,114,148,170,195,206,204,200,192,179,150,129,114,102,198,207,206,201,201,203,205,208,226,223,208,169,151,144,125,157,189,203,215,209,200,189,177,159,134,107,91,164,209,206,206,202,202,203,205,207,226,223,212,187,170,151,128,178,213,212,218,209,193,178,163,144,118,89,135,208,208,208,207,202,202,204,204,201,226,222,218,203,176,165,144,170,214,213,213,200,175,164,151,130,101,105,201,211,210,208,207,202,203,204,206,197,217,221,224,210,187,171,159,169,212,211,202,186,163,151,134,114,91,171,213,210,210,208,207,204,204,205,207,200,206,221,214,197,186,173,162,171,201,199,186,172,151,139,120,92,127,214,213,211,211,211,210,141,144,146,150,145,188,229,208,189,185,180,166,174,187,185,169,153,137,130,108,91,185,211,210,210,210,208,206,96,97,98,100,87,169,226,205,196,195,185,169,174,185,181,165,139,124,117,96,100,129,130,131,131,136,157,191,103,104,103,105,93,170,226,208,201,199,186,170,174,188,186,163,122,110,102,92,99,94,92,105,152,174,187,200,104,104,104,105,93,168,231,210,202,201,198,174,166,185,180,142,108,101,93,102,107,121,179,202,198,218,209,181,105,106,105,106,95,167,231,210,203,208,210,176,153,179,164,123,101,90,91,141,185,205,219,206,167,170,202,200,103,105,104,106,97,168,225,202,197,208,211,174,149,173,156,113,93,86,159,219,223,208,192,176,161,139,162,191
1,118,122,124,127,131,136,138,139,140,141,143,144,146,148,148,149,150,150,151,152,152,152,152,151,150,150,151,152,122,125,128,131,134,138,141,143,144,145,147,147,149,149,150,152,159,154,132,154,155,154,153,152,152,152,153,153,126,130,132,135,138,141,145,147,149,150,151,152,153,162,136,144,173,155,101,151,158,158,156,156,155,155,154,155,130,134,136,139,143,146,148,152,153,154,156,155,161,177,117,132,174,143,99,151,143,148,161,160,160,159,158,158,134,137,140,144,148,150,153,156,157,158,159,159,169,175,109,138,175,132,104,160,136,115,163,163,163,162,161,160,137,141,145,148,152,155,158,160,161,162,167,151,158,167,109,144,177,127,111,171,136,104,165,166,166,165,164,163,142,146,148,152,156,159,163,166,167,168,182,138,130,151,114,150,181,133,123,177,131,103,167,171,169,169,168,167,146,150,152,156,161,164,168,170,172,174,187,125,126,140,119,148,174,129,127,181,132,105,171,175,173,172,172,170,149,153,156,160,165,167,171,174,176,179,180,115,127,128,111,132,167,123,136,185,137,111,176,179,177,176,175,174,153,156,160,163,168,171,173,178,179,183,184,122,130,132,113,133,178,128,150,182,135,117,182,184,182,179,179,178,155,159,163,166,172,174,177,182,182,187,184,122,123,144,121,133,177,127,161,186,135,122,185,186,185,184,183,182,159,162,166,170,175,177,181,184,185,193,193,134,115,135,109,125,158,117,171,188,138,133,190,188,188,188,187,186,161,165,168,173,178,181,183,187,188,195,200,139,107,125,111,131,146,131,175,176,131,142,194,191,192,191,189,188,164,168,171,175,181,184,186,189,190,197,200,147,132,158,154,165,169,156,148,161,124,151,196,194,195,194,192,191,166,170,174,178,182,185,189,192,193,204,209,168,140,140,173,190,197,167,118,129,110,158,199,198,197,196,195,194,168,171,176,180,184,187,191,195,195,211,201,157,126,101,123,150,171,185,145,93,89,171,202,200,199,199,197,196,170,174,178,183,186,189,193,197,197,216,196,152,116,104,110,128,169,207,183,114,86,184,204,203,201,200,200,199,172,176,181,185,188,192,196,199,200,220,201,151,122,122,129,161,185,206,203,145,96,184,208,205,204,203,202,202,175,178,182,186,190,194,198,200,203,221,198,150,123,131,141,193,206,194,186,147,100,168,210,207,206,205,204,204,177,181,184,189,193,196,199,201,205,220,198,157,131,142,159,214,215,188,155,122,92,168,212,209,208,207,206,205,178,182,186,191,195,198,200,203,206,217,200,161,143,140,172,222,211,173,139,103,90,182,213,210,210,209,208,207,180,184,188,192,196,199,202,205,207,213,197,163,149,139,172,218,196,159,126,94,115,207,213,212,212,210,210,211,181,185,189,193,196,199,203,207,208,209,196,170,160,143,164,206,181,145,111,87,152,217,214,213,213,212,212,212,183,186,191,194,198,201,204,207,208,206,194,174,166,147,160,197,169,134,101,91,186,217,215,215,215,214,214,214,184,187,192,195,199,202,205,208,210,210,200,177,165,139,152,183,154,123,92,110,209,218,217,217,217,216,216,216,184,187,192,197,200,202,206,209,209,212,204,179,159,129,143,158,132,111,89,148,220,220,219,218,217,217,217,216,183,187,191,196,200,202,205,208,205,216,208,193,160,132,143,143,122,100,106,197,220,220,220,218,219,218,217,217,183,187,191,195,200,204,206,206,204,216,209,196,166,140,144,134,114,90,156,218,220,220,220,218,219,218,217,217
12,131,136,139,140,145,147,148,149,150,152,152,153,156,157,157,156,157,156,157,157,156,157,155,154,153,153,153,151,133,137,140,141,145,147,149,151,151,152,152,155,156,157,158,158,158,157,157,157,157,156,156,155,155,154,154,152,135,137,141,144,145,148,149,151,153,154,156,157,157,158,154,158,161,160,157,158,158,157,158,157,156,154,155,155,135,138,142,144,146,149,150,153,154,156,155,158,156,153,180,157,132,149,162,159,160,157,159,158,157,157,157,155,136,140,143,146,148,149,152,155,157,153,170,195,174,132,175,185,124,99,161,158,160,161,158,158,159,157,156,156,137,141,144,147,148,151,154,156,159,153,197,220,193,149,109,172,155,90,141,179,140,141,162,160,159,157,157,156,138,141,144,147,150,152,155,157,159,153,195,201,204,175,147,112,146,123,116,189,136,93,138,165,159,158,158,157,138,142,145,149,151,153,155,157,157,152,191,168,154,182,149,79,125,141,79,126,141,83,96,166,160,159,159,159,139,143,147,149,151,153,156,152,167,189,148,128,141,160,145,122,142,109,59,85,117,82,82,163,162,160,159,160,139,143,147,150,152,156,152,166,218,187,130,86,116,169,170,170,152,118,95,145,102,77,84,164,163,161,160,161,140,144,148,150,152,155,151,206,205,172,139,90,60,142,157,150,165,175,160,151,95,68,94,170,163,163,162,163,140,144,148,151,155,151,176,199,183,188,148,98,40,75,105,135,163,196,183,145,91,52,121,171,162,164,163,163,142,145,149,151,155,149,201,190,176,192,155,113,53,54,55,80,155,180,188,163,130,77,147,170,163,164,163,163,142,146,149,153,150,175,201,177,159,198,177,132,60,61,63,114,181,172,164,140,142,108,116,172,164,165,164,163,140,144,149,152,147,203,206,177,133,154,195,145,80,54,135,192,183,167,158,124,120,107,97,169,165,164,165,164,141,145,148,149,148,209,208,177,134,110,157,186,112,125,209,181,173,162,149,121,103,86,114,171,165,164,164,164,142,146,150,151,156,218,210,177,160,159,121,130,140,208,209,183,169,162,137,118,92,77,138,172,166,166,164,165,142,147,151,150,158,219,206,186,184,175,144,142,199,212,209,189,157,146,125,115,87,82,159,170,167,167,165,165,142,147,151,150,157,214,209,199,190,177,157,153,200,210,198,179,149,128,120,108,80,101,172,168,168,167,165,165,141,146,148,152,154,208,215,205,190,173,160,153,194,204,185,163,135,123,122,98,73,138,175,168,169,169,166,164,140,144,147,153,147,191,212,198,186,176,165,161,184,189,169,145,128,126,120,84,93,169,169,168,168,166,164,163,142,147,150,156,152,176,206,186,177,173,165,161,177,184,161,138,125,122,106,79,146,177,171,171,171,170,169,169,118,120,121,123,117,150,203,171,170,170,160,145,165,183,158,129,114,108,91,84,121,121,119,119,118,118,117,118,81,79,79,82,69,114,205,165,169,172,159,143,156,177,142,108,99,96,84,76,71,72,71,70,69,69,69,69,90,89,88,91,81,117,210,171,179,176,160,144,150,172,128,100,92,87,83,83,81,82,80,79,79,78,78,78,89,88,89,92,82,117,214,184,193,185,165,146,140,166,127,103,85,81,83,84,83,80,79,79,79,77,77,77,90,88,89,92,83,110,210,194,201,184,164,141,132,160,129,100,83,79,82,83,83,81,81,80,80,80,79,75,89,90,90,91,86,100,202,195,195,173,157,142,128,149,124,94,82,79,83,83,81,81,80,80,81,79,75,84
20,71,75,80,89,108,124,132,137,147,154,158,163,168,175,166,174,179,178,179,178,178,178,178,177,177,176,175,173,72,76,80,91,111,128,136,142,152,159,164,168,173,195,148,144,169,180,184,183,182,183,182,181,180,180,179,178,73,77,82,94,115,131,139,147,158,165,170,175,180,209,157,142,147,151,190,189,188,187,186,186,185,184,184,183,74,78,83,97,119,134,141,151,162,170,175,181,185,215,160,146,170,116,183,195,193,192,191,191,190,189,188,187,75,79,83,99,121,137,144,154,166,174,179,185,190,213,158,134,184,110,158,201,198,198,197,196,194,194,193,191,75,79,83,102,123,139,147,156,169,176,182,188,194,216,175,124,182,126,136,204,203,203,202,200,199,199,197,196,76,80,85,105,126,141,149,159,171,179,185,191,196,220,180,120,183,149,123,203,208,208,206,205,205,204,202,201,77,80,86,107,127,143,150,162,174,183,189,195,199,223,172,116,178,156,115,198,213,212,210,209,209,208,207,205,77,80,87,108,129,145,152,164,176,185,192,198,203,230,181,118,179,176,118,192,217,215,215,214,213,212,211,209,78,80,88,110,131,147,154,166,179,187,194,198,202,222,175,113,170,187,125,183,220,218,217,217,216,216,215,212,78,81,90,112,133,148,156,169,182,190,198,199,181,202,143,99,161,184,122,172,224,222,220,220,220,219,217,216,78,81,91,113,135,150,158,172,184,192,206,227,206,195,165,103,144,172,115,158,226,224,223,223,222,222,222,214,78,80,91,116,138,152,160,173,185,190,207,238,227,172,163,142,123,122,99,145,226,225,226,226,219,199,160,109,78,80,93,118,140,154,161,175,195,188,183,189,214,175,120,135,146,112,81,118,224,221,192,151,114,82,58,54,77,80,95,120,141,155,163,177,216,228,195,143,167,203,135,91,130,143,104,91,154,113,73,56,52,56,59,56,74,77,94,120,142,155,163,178,208,209,211,162,125,192,192,103,106,153,149,102,64,49,46,47,48,44,57,55,73,76,94,120,143,155,164,180,196,149,151,171,155,165,192,123,103,142,163,136,80,45,44,38,52,44,46,54,72,75,94,121,144,156,166,182,207,174,128,119,157,151,119,104,98,111,154,152,112,64,49,37,41,48,41,46,71,74,94,122,145,156,166,182,211,183,125,106,116,124,120,136,142,136,157,148,125,82,38,49,36,40,40,42,99,101,108,119,133,142,150,160,195,179,140,128,131,144,160,183,206,205,177,129,116,80,22,44,46,36,39,36,106,106,107,106,110,112,115,113,160,206,176,141,139,164,186,217,233,214,173,123,100,70,14,29,50,43,39,33,108,110,112,113,113,114,116,115,140,213,193,158,143,175,188,225,233,208,167,123,96,68,19,17,42,45,43,36,110,111,112,114,114,116,118,117,128,207,208,182,147,179,186,219,222,193,158,123,96,68,30,11,31,45,44,40,110,110,111,112,112,114,117,118,120,189,213,194,153,180,181,198,213,191,154,121,95,61,40,12,18,42,43,40,109,109,111,111,112,113,115,117,116,155,207,199,165,182,166,174,196,195,154,116,93,49,44,22,8,33,42,36,109,109,110,110,112,113,114,116,117,124,185,205,181,183,161,152,180,185,144,107,84,37,43,34,10,18,40,32,108,109,110,111,112,113,114,115,116,116,143,200,190,178,158,134,153,162,132,105,66,13,37,43,22,9,30,37,108,108,110,110,111,112,113,113,115,117,120,185,196,174,152,134,131,144,129,106,40,1,25,46,32,12,17,35
5,106,107,107,108,108,110,110,110,111,113,113,114,114,114,113,118,115,114,114,113,113,113,113,113,112,111,109,112,109,109,111,112,112,113,113,113,114,114,115,115,116,117,121,98,116,116,115,115,114,113,113,114,114,112,118,83,113,114,115,115,115,115,117,117,117,117,117,121,119,121,137,51,105,121,118,117,116,117,117,115,115,119,96,21,116,117,118,119,119,119,120,121,121,121,121,118,117,143,118,50,117,122,120,120,128,87,109,118,117,111,33,12,120,121,121,122,123,123,123,124,125,121,142,87,97,158,77,83,132,122,120,120,107,54,108,121,125,76,10,22,123,125,125,126,127,127,127,127,127,121,155,92,99,142,58,117,129,127,112,108,63,79,127,123,121,46,20,40,127,128,129,129,130,131,130,129,130,126,156,99,103,114,65,135,130,113,105,71,67,129,127,126,118,37,33,38,130,131,131,132,133,133,133,133,134,132,150,95,94,81,89,141,106,96,83,59,126,131,129,128,130,63,37,38,133,134,134,135,136,136,136,136,136,134,160,108,72,60,122,103,74,74,53,115,139,131,132,131,133,78,34,34,136,137,137,138,139,138,138,138,138,138,163,119,70,70,111,69,63,44,106,143,135,135,133,132,137,99,29,18,138,139,139,140,140,141,140,140,141,141,155,111,70,70,73,69,52,83,152,138,138,138,135,135,138,122,28,13,140,141,142,142,143,142,143,143,144,142,148,124,69,56,55,70,51,122,143,135,146,140,137,139,140,130,89,85,142,143,144,145,145,145,145,144,145,144,149,141,87,51,48,55,65,131,89,86,120,146,144,140,138,142,86,119,143,144,146,147,147,146,146,146,147,147,148,149,104,58,52,50,63,72,75,102,102,113,133,144,145,144,85,150,146,147,147,148,149,148,149,149,150,150,151,161,130,81,53,55,51,63,68,85,119,117,114,124,126,121,129,108,148,149,149,149,151,151,152,151,151,151,154,167,147,99,58,51,60,54,45,73,93,95,110,116,97,89,112,83,150,150,151,151,152,152,152,153,153,154,153,171,157,106,63,45,57,45,83,148,138,125,105,102,130,121,75,89,151,152,152,153,153,153,153,155,156,155,154,175,160,112,69,44,42,69,166,153,157,149,120,135,123,81,116,143,152,153,154,155,155,155,155,156,157,155,154,178,159,115,75,45,25,76,141,162,149,110,121,115,67,108,159,148,154,155,155,156,157,157,156,156,157,156,155,180,157,113,76,41,34,54,57,129,104,109,118,70,76,156,152,151,155,156,157,157,157,158,158,157,159,155,163,180,152,112,76,40,39,60,63,64,84,109,81,83,152,155,154,153,156,157,157,158,158,158,159,159,161,152,163,178,149,112,77,45,43,63,68,80,85,80,78,155,158,154,155,153,157,157,159,159,160,160,160,160,162,153,165,174,145,110,75,47,48,70,75,80,69,66,147,162,156,158,156,155,158,159,160,160,161,162,162,162,160,153,171,168,141,107,73,47,47,71,78,76,57,130,167,156,159,158,158,157,158,160,161,161,162,162,162,166,154,158,180,163,136,100,70,50,46,72,81,60,86,171,160,161,161,160,158,157,160,161,162,162,162,162,163,166,149,177,178,157,131,100,68,52,54,77,74,50,136,168,162,164,162,162,160,158,161,162,162,162,164,163,166,155,159,183,168,153,136,98,65,54,58,75,55,94,171,162,164,163,162,162,161,160,161,163,163,163,164,165,164,149,170,168,163,150,120,80,60,51,61,64,78,162,167,166,165,164,163,162,161,160
17,143,144,145,148,151,153,154,156,157,157,159,160,161,162,164,165,165,166,166,166,167,167,167,167,167,167,168,167,144,145,147,150,152,153,155,157,158,158,160,161,162,164,164,166,166,166,167,167,168,168,169,169,169,170,170,169,145,146,149,152,154,155,156,158,159,160,162,162,163,165,166,166,167,168,168,168,170,169,170,170,170,171,172,171,146,148,151,153,154,156,158,159,160,161,163,163,165,166,167,168,169,170,170,171,172,171,171,172,171,172,172,172,146,148,151,153,155,157,158,159,161,162,164,165,166,167,168,169,170,170,167,170,168,168,173,173,172,173,173,173,147,149,151,153,156,158,159,161,162,163,165,166,167,167,170,170,170,172,155,134,132,132,172,174,174,174,174,174,148,150,152,154,156,159,160,162,163,165,166,167,167,169,171,171,171,178,170,120,93,110,172,174,175,175,175,175,149,151,153,156,157,159,161,163,165,167,168,169,170,171,171,172,173,179,180,133,87,115,177,176,176,175,175,175,150,151,154,157,158,160,162,164,166,167,168,169,170,168,171,173,174,178,186,149,98,133,179,177,176,176,176,177,150,152,155,158,159,161,164,164,165,167,168,169,171,156,144,170,175,180,187,150,110,157,179,179,178,177,176,177,150,153,156,158,160,162,164,165,166,168,168,169,176,163,130,137,170,185,183,147,114,165,180,180,179,178,178,177,151,153,156,158,161,163,165,165,167,171,160,145,171,178,165,148,134,153,172,146,113,165,181,180,179,179,178,178,151,154,157,159,161,164,166,166,172,185,159,124,152,174,187,175,136,103,139,137,113,165,182,181,179,179,179,179,152,155,158,160,162,165,167,166,178,167,164,142,138,131,164,190,159,106,108,120,108,162,182,181,180,180,181,180,153,156,159,161,163,164,167,167,183,157,134,130,105,84,119,198,177,124,93,101,99,161,183,182,181,181,181,180,154,156,158,161,163,165,168,170,181,148,122,129,109,101,116,198,190,143,95,93,93,158,183,182,182,182,181,181,154,156,159,162,164,166,168,175,185,162,145,136,121,133,134,192,192,153,106,90,92,154,184,183,183,183,182,182,154,157,160,163,164,166,168,183,178,150,140,134,131,149,172,192,179,157,113,86,90,155,185,183,184,184,183,183,155,157,160,162,166,168,169,189,170,146,135,135,143,165,206,193,164,148,111,82,84,157,186,185,184,184,184,184,156,158,160,163,166,168,169,194,172,151,137,137,150,194,206,189,159,138,106,81,86,165,186,186,184,184,184,184,156,158,160,163,165,167,173,197,176,159,140,140,169,209,197,182,151,131,100,81,101,180,185,185,184,184,184,184,155,158,161,165,166,167,178,199,178,166,152,144,185,207,191,179,145,121,96,80,132,186,185,185,185,184,183,183,156,158,162,165,168,169,183,204,182,175,165,152,188,198,185,174,144,112,91,89,165,186,185,186,186,186,185,185,156,159,163,166,168,168,180,208,188,180,172,160,178,191,181,169,140,107,86,118,185,186,185,186,187,187,185,185,157,159,163,167,169,170,177,206,193,177,167,165,170,182,176,173,137,103,85,145,188,185,185,186,186,186,185,186,157,160,163,167,169,171,174,202,189,176,163,164,170,174,174,173,137,102,89,162,188,187,187,187,187,186,187,187,157,160,163,165,168,170,176,201,188,176,164,164,171,171,173,166,129,100,107,180,188,188,188,188,188,187,187,187,157,158,161,165,168,170,179,203,195,179,168,170,175,166,169,155,119,95,138,189,188,188,187,187,188,188,188,187
11,100,105,109,114,116,119,122,125,126,129,130,132,134,136,139,138,140,142,141,143,145,145,146,146,146,145,145,144,101,106,111,114,117,121,124,126,128,130,132,134,138,139,140,141,141,143,145,146,147,147,148,147,148,148,147,146,102,107,112,115,117,122,124,127,130,131,133,135,139,139,140,142,143,145,146,147,148,148,149,148,149,149,148,148,103,109,113,117,120,122,123,127,131,132,134,136,138,141,141,139,147,146,147,148,149,148,149,150,149,150,150,150,104,110,115,117,120,123,125,129,132,135,137,138,140,141,146,127,106,151,148,150,151,151,151,151,151,151,151,151,106,111,115,119,121,124,127,131,133,136,138,140,142,141,150,135,68,144,152,151,151,153,153,153,152,152,153,151,106,111,115,119,123,125,128,133,135,137,139,140,143,141,159,127,67,145,153,153,153,153,153,153,153,153,153,152,106,112,118,121,123,126,130,133,137,139,141,141,143,143,168,102,78,157,151,153,154,154,154,154,154,154,154,154,107,114,118,122,124,126,130,133,137,140,141,144,143,152,170,89,97,161,153,155,156,155,155,156,155,155,155,154,109,114,118,123,125,127,131,133,137,140,142,142,141,165,141,72,119,160,154,156,156,156,157,157,157,155,155,155,110,115,118,123,125,129,131,134,138,140,139,140,146,171,97,66,143,156,154,156,156,156,157,157,157,156,156,156,110,116,119,123,127,128,133,135,135,135,154,152,101,117,80,84,160,154,156,156,156,157,158,157,157,157,156,156,109,115,120,122,125,132,124,136,157,115,119,139,88,63,63,120,162,154,156,157,157,157,158,157,157,157,157,156,109,115,119,144,167,157,115,77,149,110,67,113,84,52,57,148,156,155,157,158,158,158,158,158,159,158,158,158,110,110,140,151,138,158,115,66,131,88,81,128,75,39,76,162,154,156,157,158,158,160,160,160,160,158,159,159,109,117,143,127,108,146,109,70,125,69,97,119,64,33,101,166,154,157,158,158,158,160,161,161,161,160,159,158,105,131,151,107,80,126,99,64,106,63,109,97,50,32,117,164,154,157,157,158,159,159,160,161,161,161,160,158,105,153,148,112,85,108,65,70,84,56,101,76,42,28,125,163,155,159,160,161,160,163,164,160,161,160,160,160,119,170,138,114,87,86,55,83,58,63,119,52,31,35,101,161,155,152,145,136,130,127,146,166,160,160,160,160,140,172,131,112,89,72,66,101,29,40,90,37,60,81,82,121,138,144,143,134,123,103,89,124,165,161,160,160,143,161,136,119,99,78,75,89,74,92,103,116,121,118,125,134,140,135,119,101,94,101,92,64,148,164,160,160,136,158,141,127,106,89,100,127,144,138,134,135,131,115,121,122,92,89,105,120,143,156,144,123,154,164,161,161,139,166,142,131,108,94,112,143,136,126,133,128,119,90,80,79,110,147,164,168,166,165,166,168,163,162,162,161,157,166,133,121,100,95,113,133,126,124,127,110,81,58,93,143,165,163,161,161,162,163,162,162,163,163,163,163,168,132,115,106,100,102,110,114,121,117,99,61,62,120,160,162,159,160,161,162,163,164,164,163,162,163,163,164,166,126,112,114,111,107,107,99,104,83,49,86,146,161,155,157,161,161,161,162,163,164,163,163,163,164,163,162,159,142,103,126,126,110,101,81,73,55,110,154,152,151,153,156,158,158,158,160,161,162,162,163,160,161,163,167,158,145,98,135,130,103,83,68,47,103,156,145,148,151,153,154,156,158,158,159,160,160,161,161,173,181,183,183
0,168,168,168,167,167,167,167,166,167,168,167,167,167,167,165,165,165,164,163,164,162,161,161,161,160,159,158,158,169,169,169,169,169,170,170,169,170,168,168,169,169,168,167,166,165,165,164,164,164,163,163,162,160,159,159,159,170,170,170,170,170,170,170,170,170,169,171,171,170,169,168,167,167,166,165,165,166,165,165,163,163,161,161,159,171,170,170,170,170,170,169,169,171,171,171,171,171,170,169,171,170,167,171,171,167,164,164,165,165,163,163,162,171,171,172,171,170,171,170,170,171,171,171,171,170,171,166,151,160,175,154,140,161,157,130,166,165,165,164,164,171,172,173,173,172,172,172,172,172,171,173,174,176,171,143,112,94,127,126,101,98,151,104,141,172,164,165,163,173,173,173,173,174,174,173,173,175,177,174,158,134,140,141,115,87,68,126,110,71,129,123,101,178,164,165,164,174,173,174,173,174,174,174,173,157,151,164,145,105,75,127,122,107,82,127,112,78,109,142,77,127,177,164,165,174,175,175,175,174,174,172,164,135,92,141,142,108,72,115,129,115,82,130,116,78,84,140,104,77,130,172,164,176,175,175,175,175,175,164,159,138,98,127,145,115,84,110,133,109,78,133,119,77,56,133,123,94,72,168,166,176,175,176,176,176,173,153,151,146,118,115,151,116,89,94,134,109,68,112,102,68,60,139,134,84,85,175,166,176,176,176,176,176,168,148,133,145,126,106,143,112,87,80,133,107,54,60,68,43,93,154,130,67,125,179,167,177,178,178,177,176,166,162,128,129,123,88,124,118,93,61,83,75,30,45,55,73,140,150,114,66,162,171,169,177,179,179,178,175,160,146,104,105,92,51,92,113,88,45,33,44,75,119,111,122,151,138,86,92,181,168,169,178,180,179,180,173,158,153,125,97,68,47,52,75,53,36,55,109,148,146,141,122,132,125,57,126,183,169,169,179,180,179,181,173,159,161,143,112,94,83,78,87,89,106,133,151,149,142,140,115,100,94,49,158,175,171,170,179,180,179,181,172,159,166,146,123,109,96,103,124,147,154,157,160,152,136,132,103,81,52,97,183,172,172,171,179,179,179,181,173,154,167,149,129,106,103,110,141,160,161,164,161,144,128,119,93,51,73,175,175,174,173,173,177,178,178,179,176,148,158,149,133,113,109,120,156,164,161,162,152,132,117,104,69,55,166,179,173,174,173,172,177,179,180,179,181,153,154,154,137,127,120,131,159,162,161,154,136,123,106,86,46,142,183,172,174,174,172,171,180,180,180,179,184,162,145,155,148,139,123,134,156,155,155,145,122,107,94,49,109,186,173,175,174,174,172,172,180,180,180,180,182,173,143,152,148,134,119,128,149,143,139,125,106,93,57,78,180,176,175,176,174,175,174,172,180,180,180,180,180,181,151,147,143,127,119,123,140,133,122,108,90,56,59,168,179,176,177,176,175,175,174,173,179,179,179,179,180,180,155,148,136,120,118,120,134,128,110,95,63,54,161,182,176,178,179,176,175,174,174,173,181,181,180,179,182,174,152,147,140,135,133,126,129,125,101,77,43,150,185,176,177,176,177,176,175,174,174,173,175,177,178,178,183,161,149,154,147,146,137,128,125,117,88,52,87,193,181,184,184,182,181,180,179,177,177,175,109,112,114,116,116,131,153,160,153,145,137,130,119,95,80,48,100,157,153,155,158,160,161,161,162,164,164,164,92,91,89,90,84,122,155,160,149,143,137,128,98,87,72,49,72,92,91,91,91,93,93,94,95,97,98,97
3,116,127,133,135,140,146,148,151,155,157,160,161,163,164,165,164,168,160,166,166,167,168,167,167,167,167,168,167,117,128,134,135,142,148,149,153,155,158,162,164,165,166,167,165,190,136,146,172,167,168,168,167,166,166,167,167,119,129,135,136,144,150,153,156,158,160,164,166,168,169,170,168,201,143,116,176,171,171,170,168,168,167,168,167,122,131,135,139,145,152,156,159,161,164,167,170,173,173,174,169,207,153,102,180,166,171,173,171,171,170,170,168,124,133,137,142,148,155,158,161,165,168,173,173,174,178,178,183,187,139,99,200,145,150,181,174,174,173,173,173,128,137,141,143,151,158,160,164,168,174,171,176,185,164,192,223,190,179,140,185,163,115,186,177,177,176,176,176,131,138,143,148,155,160,164,166,167,165,191,218,214,165,124,150,193,205,172,122,164,111,146,190,180,180,180,179,134,142,146,152,158,163,165,193,191,164,195,175,188,198,172,76,114,158,109,95,143,142,109,158,190,183,184,183,137,145,148,154,163,163,190,194,172,178,152,107,101,181,192,108,115,120,91,148,154,153,119,122,196,187,188,186,140,148,151,158,165,171,204,147,98,148,99,92,70,86,119,89,100,82,76,175,185,184,131,124,198,190,191,190,142,149,153,159,168,176,208,162,108,156,133,125,97,107,94,76,82,84,82,178,211,199,139,127,202,192,194,194,145,151,155,163,172,175,212,178,134,167,183,163,137,125,112,107,99,95,85,161,213,199,138,131,205,194,196,196,148,154,157,166,175,177,209,198,173,157,157,126,128,136,135,142,118,130,122,155,211,193,129,130,207,197,200,199,150,156,159,168,177,181,214,200,161,143,140,128,134,143,158,154,164,182,203,201,188,166,119,126,210,201,202,202,152,159,162,171,180,183,217,200,156,134,130,137,142,155,171,180,202,207,213,201,165,130,116,123,211,203,204,204,154,161,165,173,182,184,216,211,175,144,131,147,148,162,191,197,207,213,211,186,147,118,103,137,217,206,208,208,158,163,167,175,184,186,212,225,190,162,136,135,148,176,200,204,215,220,207,174,135,111,91,191,215,210,210,209,159,164,169,178,187,188,206,229,205,181,154,134,148,173,198,211,224,219,194,158,132,91,133,223,211,213,212,211,161,166,171,181,188,192,202,231,218,193,168,151,151,163,192,216,223,212,181,144,118,88,190,220,212,214,213,212,164,167,174,183,189,196,200,226,225,207,178,170,165,161,188,214,215,199,165,133,99,112,222,214,214,214,217,221,166,169,176,184,192,198,199,214,222,219,195,182,173,160,196,203,207,179,146,120,83,164,226,215,223,228,212,179,168,172,178,186,194,200,202,202,216,220,205,191,179,157,188,196,186,158,127,99,97,219,229,220,193,144,93,65,170,173,181,189,196,202,206,200,206,213,206,196,179,157,156,185,166,139,116,82,167,227,161,109,73,59,58,56,172,175,183,191,198,203,206,207,200,213,208,196,180,159,144,166,161,131,103,111,192,108,62,55,60,56,58,51,175,177,185,192,199,205,207,210,200,216,204,189,176,152,141,151,147,124,97,112,98,64,72,50,48,64,52,46,176,179,186,194,200,205,207,210,205,215,188,171,169,151,144,141,133,123,98,65,52,63,80,52,33,57,62,41,173,178,185,194,200,204,207,211,199,217,201,182,184,168,149,141,127,124,89,67,54,40,72,65,30,41,66,55,174,179,187,195,202,205,208,216,194,214,216,199,202,172,153,141,123,121,82,63,64,34,49,73,42,30,52,63
21,78,86,99,113,122,129,134,138,142,145,143,149,154,156,158,160,162,164,165,166,166,167,167,168,168,168,168,168,79,88,102,115,124,131,136,138,145,162,119,124,156,157,160,162,164,165,166,168,169,169,169,170,169,169,170,169,80,88,104,117,126,132,137,140,151,172,111,107,158,159,162,164,165,167,167,169,170,171,171,171,172,171,171,171,82,89,105,119,127,133,138,142,152,172,117,102,157,160,163,166,168,168,168,170,171,173,173,173,173,173,173,172,84,91,106,120,128,135,140,144,152,168,121,99,154,162,165,166,169,171,172,166,144,164,176,175,175,175,174,175,85,94,109,121,131,137,141,145,152,170,130,99,151,164,166,169,171,171,173,149,105,145,178,177,177,177,177,177,87,96,111,122,132,138,143,147,152,170,135,100,144,166,168,171,173,176,169,134,105,164,180,178,178,179,179,178,88,97,113,124,133,140,145,149,151,171,138,101,132,168,170,172,174,179,157,117,124,180,180,180,180,180,180,179,88,98,114,125,133,140,146,149,152,179,145,104,125,169,171,172,177,173,143,110,158,183,182,182,182,181,181,180,89,100,117,127,133,140,145,150,154,186,152,112,125,170,171,174,175,157,123,122,179,182,184,183,183,182,182,182,90,102,118,127,135,141,146,150,151,174,141,109,120,171,173,178,174,147,106,151,184,183,184,185,184,184,184,183,91,103,118,128,136,142,153,164,140,149,120,98,115,171,171,176,169,130,117,178,184,184,185,185,185,185,185,185,92,105,120,130,136,140,172,189,139,115,95,87,110,158,164,167,152,108,150,186,185,186,186,186,186,186,186,186,94,107,121,130,137,143,168,172,130,93,77,83,114,149,156,149,118,111,178,185,186,187,187,187,187,187,187,186,94,108,122,131,137,165,180,146,123,97,70,74,102,132,138,122,95,146,187,186,187,187,188,188,188,188,188,187,95,110,123,131,144,195,181,165,142,124,82,70,92,110,120,106,105,176,186,187,188,189,189,189,189,188,188,188,97,111,124,132,158,177,177,188,176,141,94,73,83,95,104,91,134,186,186,188,188,189,189,189,189,189,189,189,98,113,125,132,171,161,167,181,178,126,89,77,77,87,89,84,158,188,188,189,189,190,189,189,190,190,189,189,99,114,124,137,179,151,136,125,142,118,94,82,77,76,80,84,163,189,188,190,191,191,192,192,191,191,190,189,100,115,125,143,176,137,122,118,129,127,103,84,77,77,76,81,160,190,189,191,191,192,193,193,193,192,191,191,101,116,125,152,181,155,144,126,131,154,114,93,84,78,74,82,164,190,191,192,192,192,193,193,193,193,192,192,103,117,125,155,182,167,145,131,180,189,130,110,94,76,73,85,170,190,191,192,193,193,193,194,194,193,193,193,104,117,125,156,190,168,139,146,201,179,135,113,97,76,73,96,179,190,191,193,193,193,194,194,194,194,194,194,105,118,126,153,184,153,143,152,189,156,127,107,97,80,72,112,186,190,191,193,194,194,194,195,195,195,195,194,107,119,128,147,171,148,153,148,178,150,131,105,91,79,72,128,189,190,192,193,194,195,195,196,196,196,195,195,107,118,127,141,160,161,165,148,177,149,131,115,87,76,74,140,191,190,192,194,195,196,196,196,196,196,196,195,106,116,126,136,159,175,157,143,173,141,118,105,83,74,78,157,188,189,192,194,193,194,195,195,196,196,196,195,105,115,126,135,154,173,155,136,154,127,102,88,77,70,82,166,187,188,190,191,192,193,194,195,195,195,195,195
2,150,152,153,154,154,154,154,154,154,153,152,152,152,151,151,150,149,148,147,148,148,147,144,146,133,51,43,54,152,153,154,155,155,155,155,155,154,155,154,153,154,152,151,151,151,150,149,148,148,147,145,150,119,41,47,61,154,154,155,157,156,155,156,157,156,156,156,156,153,152,153,151,145,150,151,151,149,148,148,150,131,60,53,58,155,156,157,156,158,158,157,157,157,157,156,154,155,158,158,133,83,99,127,97,149,152,149,147,151,82,57,60,155,157,159,159,159,159,159,159,158,157,159,166,162,147,114,87,62,55,79,55,113,155,149,148,154,94,48,47,156,157,160,160,160,160,160,161,158,164,173,171,126,81,66,57,50,52,56,58,49,123,157,148,155,121,42,29,157,159,160,161,161,161,162,162,160,169,171,136,83,43,47,50,40,44,49,52,39,117,160,151,151,153,55,15,159,160,161,162,163,162,163,162,164,185,137,73,58,42,38,46,48,44,53,68,107,154,153,153,151,155,102,65,160,161,162,161,163,164,165,159,173,182,110,57,54,53,46,50,43,101,146,154,161,154,155,154,152,155,119,107,161,161,162,163,165,166,165,160,187,166,101,62,52,55,46,59,119,161,161,157,155,156,157,156,152,161,80,107,161,162,163,165,166,166,163,170,186,143,84,48,47,47,45,102,174,158,160,158,157,158,157,155,154,159,89,133,163,162,165,166,167,167,163,181,181,133,90,60,58,47,43,110,170,160,161,160,159,158,156,156,156,157,128,116,164,166,166,167,168,167,168,193,174,124,85,68,64,60,43,135,169,161,162,161,159,159,158,157,157,156,155,127,166,168,168,168,168,166,180,195,158,111,76,63,62,62,62,155,167,162,163,161,161,160,160,159,158,157,155,145,166,167,168,169,169,165,192,189,146,103,69,61,60,61,64,158,167,164,163,162,161,161,160,159,158,157,157,149,167,167,168,170,168,168,201,183,140,97,68,62,63,63,70,163,166,165,164,163,162,162,161,160,160,159,156,154,167,168,170,171,166,182,200,170,131,91,67,62,65,57,70,172,166,165,166,165,162,162,164,164,162,161,161,157,167,169,172,171,167,199,193,157,121,83,63,61,57,57,48,124,176,164,165,166,168,163,149,137,126,118,124,155,169,171,171,166,176,201,182,146,109,79,63,54,52,56,59,59,166,175,170,163,141,123,123,120,117,107,67,114,171,172,173,164,189,196,171,134,103,78,62,46,50,56,62,50,96,148,138,120,118,122,129,117,94,94,95,133,170,173,168,170,198,190,164,127,96,75,57,42,56,62,64,67,58,74,102,122,134,126,98,74,105,152,162,161,170,171,161,191,198,184,155,124,92,68,51,47,69,74,82,81,81,87,109,123,109,82,63,116,168,162,159,159,172,161,179,200,193,178,150,119,86,68,49,57,77,82,90,87,86,91,97,83,81,113,146,167,161,160,160,158,162,172,200,191,182,169,145,111,80,68,52,68,80,85,89,87,79,68,66,109,155,171,168,163,161,161,159,159,165,188,190,186,177,162,136,99,75,68,59,79,87,88,82,74,57,73,138,172,170,165,165,166,163,161,160,159,185,182,181,176,161,142,118,85,73,63,64,79,83,84,65,57,121,167,172,167,167,166,166,166,163,162,160,159,181,179,170,154,135,122,94,72,63,61,69,72,76,60,57,136,178,170,167,168,167,167,166,165,163,162,161,161,182,175,157,135,118,109,79,62,60,65,63,63,59,78,151,177,166,168,168,169,168,167,167,166,164,162,162,162
1,47,67,69,74,80,97,115,127,132,138,144,147,152,160,159,163,164,165,167,167,168,170,171,171,171,171,172,170,54,68,71,75,82,100,119,131,136,142,149,151,163,181,124,159,168,170,170,171,171,171,172,172,172,172,172,171,62,68,72,77,83,103,122,134,140,147,154,157,174,190,106,121,130,163,178,177,176,176,176,175,174,174,173,173,67,69,74,78,85,106,126,138,143,150,181,157,146,193,108,109,124,124,186,182,183,183,182,181,178,178,177,176,70,71,75,79,88,110,129,139,146,153,197,161,117,188,108,103,137,95,181,189,188,188,187,186,184,183,182,181,70,71,76,81,92,114,133,143,150,157,199,167,107,173,111,100,140,88,168,197,193,194,193,191,190,189,187,186,72,72,77,81,94,118,136,145,152,161,202,168,96,160,126,106,148,100,153,203,199,198,199,197,195,194,193,192,73,74,78,82,98,123,140,148,159,177,179,170,95,130,120,102,154,108,141,210,203,203,203,202,200,200,199,198,74,74,79,83,101,126,144,149,175,179,158,170,96,115,121,88,149,112,133,214,208,208,208,206,205,205,203,201,76,76,80,84,104,129,147,150,197,173,140,168,97,128,134,91,169,137,131,216,212,211,211,210,210,209,207,206,76,78,82,86,107,132,150,155,202,157,128,184,110,118,131,94,168,151,125,217,216,215,215,214,212,212,211,210,76,78,82,87,111,136,153,158,204,152,112,178,113,89,118,103,161,152,111,215,219,219,218,216,215,215,216,215,76,78,81,88,114,139,156,162,209,154,94,157,106,82,112,120,174,151,106,212,223,222,222,221,220,219,219,219,77,79,81,89,117,141,159,166,215,167,88,145,144,139,133,152,178,125,94,199,228,225,224,224,224,223,223,223,78,79,81,91,120,145,162,168,212,169,97,154,190,153,138,145,147,120,85,170,233,227,227,227,225,225,226,225,77,79,82,93,123,148,166,171,212,181,141,147,125,135,128,127,120,128,114,138,233,230,229,230,229,229,229,232,77,80,82,96,127,153,168,174,225,198,148,129,105,127,130,140,132,154,153,122,176,237,231,232,235,237,228,195,76,80,82,98,130,156,169,179,234,197,144,116,110,132,141,196,190,174,190,157,107,201,239,238,211,158,97,59,77,80,82,101,134,159,171,183,234,193,135,111,117,139,171,217,230,186,204,158,96,149,235,140,69,50,44,45,76,79,82,103,136,160,173,183,230,199,137,113,126,148,187,218,237,223,182,126,90,133,123,59,43,37,50,39,75,77,80,104,137,161,173,182,223,204,146,115,131,157,198,226,233,215,167,116,93,72,44,58,57,25,46,48,74,76,79,106,139,165,175,182,219,211,167,122,133,159,201,232,225,197,158,116,89,60,44,35,60,31,26,51,71,73,76,106,141,167,178,184,214,213,184,135,135,159,201,231,212,183,148,111,85,61,48,22,43,49,16,35,87,84,85,110,143,167,178,186,205,208,192,148,139,152,200,219,201,175,136,104,81,61,41,27,25,50,24,20,120,119,120,120,121,130,135,140,150,197,196,157,151,148,189,203,193,165,126,98,75,55,47,27,16,40,37,10,116,116,117,118,118,120,120,122,120,169,199,168,155,148,166,189,178,148,114,89,68,36,50,30,11,32,46,16,117,117,119,121,123,123,125,126,125,136,188,172,157,149,143,168,158,130,99,78,68,37,39,31,12,22,48,31,116,118,119,120,121,123,124,126,126,126,169,180,161,153,136,144,147,120,90,68,69,49,25,11,19,16,44,42
17,149,152,153,155,157,158,159,160,162,163,163,165,166,167,167,169,170,169,172,171,170,172,171,171,172,171,172,171,149,152,154,156,158,159,160,162,163,164,164,166,167,168,170,170,170,173,173,174,172,172,171,172,173,172,172,171,149,151,155,158,158,160,161,162,162,165,165,166,167,169,170,172,161,145,153,137,172,174,174,173,174,174,173,172,150,152,154,158,160,161,162,163,164,166,165,167,168,171,171,175,174,124,101,98,166,176,175,175,174,175,174,173,151,154,156,158,160,162,163,166,167,168,168,169,171,172,172,174,189,141,90,91,172,176,176,176,174,175,175,173,151,154,157,159,160,162,164,166,167,168,169,171,173,173,174,174,191,156,102,101,180,177,176,176,175,176,176,174,153,156,158,159,162,164,165,166,166,169,171,164,156,178,176,174,194,163,113,128,182,178,178,177,176,177,177,176,155,157,158,160,163,164,165,168,170,169,174,168,129,143,178,180,194,159,117,146,181,179,179,179,178,178,177,177,156,157,159,161,163,164,166,167,167,163,175,175,151,129,148,173,189,157,115,145,183,179,179,179,179,178,177,176,156,158,159,162,164,165,165,179,169,128,142,181,184,176,137,104,155,154,118,145,184,181,181,179,179,179,179,178,157,159,160,163,166,166,169,181,174,132,145,157,176,189,164,107,109,132,111,142,185,181,180,179,180,180,180,179,158,160,161,163,166,167,176,171,155,152,121,113,107,195,187,134,91,108,100,138,187,182,181,181,181,180,180,180,157,159,162,163,166,166,181,167,120,121,112,86,81,183,200,155,97,92,90,134,188,183,183,182,181,181,181,180,158,160,163,164,167,167,185,167,141,137,120,112,116,167,208,167,112,88,91,127,187,183,183,183,182,181,182,182,158,161,164,165,167,170,191,167,147,139,125,136,146,173,201,170,127,89,87,124,188,183,183,184,183,183,182,182,159,161,164,168,167,178,184,149,136,133,135,145,182,206,178,163,131,87,80,123,189,184,184,184,184,184,182,180,159,161,165,168,166,185,184,153,139,133,142,161,212,203,171,150,124,85,74,126,189,185,185,184,184,184,183,181,159,162,164,167,167,193,186,160,143,133,145,190,208,193,167,143,116,85,75,146,190,185,185,184,184,184,184,183,159,163,165,167,167,197,186,167,154,135,162,208,200,188,160,131,111,84,85,174,187,185,185,185,184,183,184,183,159,162,167,168,168,204,187,173,167,145,171,206,191,183,161,124,104,78,116,190,184,186,186,187,185,184,183,183,160,164,167,170,168,206,193,179,176,158,168,200,185,176,156,120,96,80,160,189,185,185,186,187,185,184,185,185,161,165,167,169,166,200,201,183,175,166,164,189,179,177,152,115,89,95,186,186,185,185,186,186,185,185,185,185,161,165,168,170,169,192,202,181,168,163,167,178,170,181,158,111,87,111,191,187,187,187,187,187,186,187,186,185,163,165,167,170,169,190,196,179,168,159,166,175,167,181,152,111,87,140,192,187,188,188,188,188,187,187,186,185,161,164,167,171,169,194,199,186,170,166,170,177,164,175,138,105,93,175,189,188,187,187,187,188,187,187,186,185,160,163,167,171,171,201,206,184,168,174,176,170,154,162,124,92,125,191,187,188,188,188,188,188,188,188,187,186,162,164,168,170,171,207,200,171,169,177,177,159,144,147,110,89,170,190,188,188,188,188,188,187,189,188,187,186,162,165,168,170,174,209,195,167,170,178,173,151,141,132,99,107,189,187,188,189,189,189,189,188,189,188,187,187
4,176,176,176,176,175,174,174,173,172,171,171,170,170,169,170,169,163,163,162,161,161,161,160,160,157,154,154,152,177,177,177,177,177,175,175,176,175,176,175,174,171,168,156,157,171,165,163,162,162,161,160,161,158,154,154,152,179,179,178,178,178,178,176,176,173,154,142,156,170,164,127,92,121,175,166,164,169,163,161,160,159,157,155,154,181,181,179,178,178,180,178,180,178,164,154,128,118,125,146,124,82,127,136,106,116,162,163,161,160,159,157,155,181,181,180,180,179,181,179,173,174,168,165,161,130,88,88,130,117,77,73,93,54,115,174,160,161,160,159,157,183,181,181,182,182,181,169,158,157,142,97,98,140,87,45,103,112,78,45,85,72,70,169,162,161,159,158,156,183,183,183,183,183,182,179,180,162,144,99,54,112,90,44,76,95,59,52,98,86,54,152,167,160,160,159,157,184,185,183,185,183,185,158,132,118,153,111,62,89,115,84,74,85,43,63,102,82,54,153,167,161,160,159,158,185,186,184,185,183,187,169,113,56,112,148,98,97,126,141,119,91,86,83,95,106,70,153,168,163,161,160,159,185,186,185,186,185,187,168,117,46,28,144,119,83,101,128,132,92,99,98,93,113,61,112,177,162,163,161,160,187,188,188,187,185,185,143,96,78,68,62,81,62,56,61,104,99,91,90,90,85,66,70,172,164,163,162,162,189,188,188,188,185,182,157,145,118,86,51,44,62,55,53,56,86,92,82,74,86,88,49,150,171,165,162,161,189,189,188,188,188,184,164,148,111,76,51,53,58,63,80,65,48,41,77,106,117,100,51,110,178,163,162,160,189,189,190,189,189,184,173,137,97,67,50,51,63,85,85,84,77,83,104,133,123,106,75,73,175,163,164,161,189,191,191,191,187,187,163,128,99,66,51,62,74,87,100,98,120,148,136,111,148,134,99,54,156,170,165,163,191,191,191,191,188,187,173,149,115,79,59,64,72,101,116,119,133,150,159,144,134,134,100,43,137,174,164,164,192,192,192,192,191,185,172,150,121,85,57,61,84,107,121,137,142,157,155,144,128,103,83,40,145,174,164,164,192,192,192,192,193,182,170,159,134,100,70,64,72,105,130,145,156,163,151,130,116,92,53,61,174,169,166,164,192,192,192,192,192,178,164,165,143,113,88,68,65,110,143,155,168,163,146,121,104,81,32,119,179,167,167,165,192,192,192,192,192,177,158,162,145,118,96,77,69,110,154,159,164,154,133,111,93,62,49,172,171,170,168,167,192,192,193,193,194,176,156,153,143,125,101,84,80,114,160,154,150,141,120,99,84,41,107,185,169,170,167,165,192,193,195,194,196,177,153,151,151,134,106,97,88,119,153,148,141,126,107,90,68,44,163,177,172,169,168,166,193,194,195,194,194,186,157,154,153,138,113,105,87,122,145,142,136,114,90,79,36,94,188,173,174,170,169,168,194,195,194,194,195,195,166,159,161,143,122,105,86,114,141,133,123,100,79,56,42,168,180,175,175,171,170,168,194,195,195,195,195,194,172,170,162,141,127,110,89,100,126,117,102,79,65,27,127,189,176,175,174,173,170,168,196,196,195,196,197,192,181,173,158,143,130,114,96,94,107,101,81,68,31,83,188,178,177,175,174,173,170,169,196,196,195,195,197,193,181,173,154,140,127,113,105,94,94,92,74,49,38,172,183,178,177,175,173,172,171,169,196,196,196,195,198,187,179,168,156,146,140,130,121,102,88,86,67,31,102,193,180,181,177,176,174,173,171,169
3,178,180,183,185,186,187,189,189,188,189,188,188,188,188,189,186,185,183,181,181,178,176,173,169,167,166,164,160,179,182,184,187,187,188,190,190,190,191,190,188,188,188,187,190,187,185,183,181,178,177,175,172,169,166,165,162,180,183,184,187,188,188,190,191,191,190,190,190,188,194,164,140,191,184,184,182,180,178,175,173,170,168,166,164,181,183,185,188,188,190,191,192,191,192,191,191,190,197,162,95,181,188,184,183,181,179,176,172,170,168,166,165,182,183,187,190,191,192,192,192,192,193,192,191,190,196,161,89,166,193,185,183,181,180,177,174,172,170,169,167,183,185,189,190,192,193,194,194,195,196,195,193,191,196,156,80,162,195,185,185,183,181,179,176,174,172,170,168,185,188,191,193,194,197,197,198,198,199,199,197,195,201,176,92,153,198,187,187,185,183,181,179,177,174,172,170,188,190,193,195,196,198,200,200,199,200,199,199,197,194,162,89,140,203,189,189,187,184,182,180,179,176,174,173,189,192,195,197,198,199,202,202,201,202,202,199,204,181,135,87,129,201,192,190,189,187,185,182,180,178,176,174,190,193,197,200,201,203,204,204,205,205,205,202,209,217,186,121,156,147,181,196,189,188,187,185,182,180,178,175,191,195,199,201,204,205,206,207,207,206,208,202,154,151,188,139,177,110,131,207,189,190,188,186,183,182,179,177,193,197,200,203,204,205,207,208,210,207,201,205,157,107,133,144,153,137,76,147,201,191,191,189,186,183,180,179,194,198,202,203,205,206,207,208,210,209,149,137,190,146,102,147,152,149,106,81,169,200,190,190,187,184,182,179,196,199,203,205,206,207,209,210,213,205,166,124,151,175,109,132,137,134,130,79,151,206,192,191,188,187,184,181,197,201,204,206,207,209,211,212,213,168,181,158,119,163,123,70,64,143,140,75,168,205,194,192,190,188,184,182,198,202,205,207,208,211,210,217,196,134,131,158,92,121,114,59,52,141,146,81,181,204,196,193,191,189,186,183,198,201,205,207,209,212,211,218,194,143,90,132,69,94,132,89,88,153,144,82,185,204,197,195,192,191,187,185,199,202,206,208,211,212,214,212,175,134,94,104,92,81,136,91,137,157,127,80,194,205,198,196,195,192,188,185,200,203,207,210,213,213,215,211,190,159,110,88,91,105,160,151,162,140,86,105,213,201,200,198,196,193,189,186,201,204,207,211,212,214,217,213,198,172,126,111,99,165,208,188,149,125,68,158,215,201,202,200,196,194,190,187,202,205,208,212,213,215,217,213,195,175,140,117,111,186,189,166,144,114,80,200,209,204,202,201,197,195,191,188,201,205,208,212,213,215,217,214,184,167,145,128,124,184,181,159,139,90,112,221,206,205,203,201,199,196,192,189,200,205,208,212,214,216,219,220,189,170,157,145,130,173,175,149,118,70,171,220,207,207,206,203,200,197,194,191,201,204,210,213,214,216,219,223,206,175,169,150,126,148,151,125,79,98,222,212,210,207,206,204,201,198,195,192,201,205,210,213,215,216,219,221,216,190,170,151,131,128,132,109,61,174,223,211,212,208,206,204,201,199,196,193,202,206,210,213,215,218,218,221,218,200,166,155,149,134,127,86,93,221,214,213,212,210,206,204,202,200,198,193,201,205,209,213,215,219,220,222,207,198,178,173,157,137,116,68,132,229,212,215,214,213,208,204,203,200,199,195,200,205,210,212,216,219,220,220,196,203,190,173,152,126,101,61,163,227,212,213,212,210,207,205,202,199,197,194
20,109,112,114,116,119,123,125,127,129,130,132,134,136,135,137,140,140,139,139,141,142,142,142,141,141,141,142,142,112,114,116,118,122,124,126,129,130,131,132,135,136,137,141,123,130,144,143,142,143,143,144,144,144,144,144,144,112,114,117,121,124,125,128,131,131,132,134,137,139,137,157,101,87,118,119,149,146,147,148,146,145,146,146,146,113,117,120,121,124,126,131,132,133,135,138,140,140,139,168,107,116,121,70,146,148,147,147,146,145,147,148,145,114,117,120,122,125,128,131,132,133,136,140,141,140,142,162,106,132,139,64,138,151,148,148,148,148,149,149,147,116,118,121,124,127,130,132,133,136,138,139,140,138,148,177,120,136,144,72,137,154,151,152,151,151,150,150,150,117,120,122,125,128,130,133,136,138,138,141,144,138,159,175,118,154,147,79,132,157,151,152,152,152,152,152,150,117,120,123,126,129,131,134,136,139,140,131,134,146,161,150,111,158,141,74,125,160,152,154,152,151,153,152,150,118,121,124,127,130,134,135,137,140,145,130,78,119,174,139,103,164,128,68,129,162,155,155,154,154,154,152,151,119,121,125,129,131,135,138,137,138,154,132,94,62,138,127,102,164,125,71,142,159,156,157,155,155,154,153,152,120,122,125,130,132,134,136,145,122,124,142,129,116,78,74,85,136,118,72,146,159,157,158,156,156,156,155,154,120,123,127,131,132,131,147,171,118,84,147,155,145,100,47,46,102,103,67,149,160,157,158,157,157,156,156,157,121,124,127,130,133,134,151,136,146,114,78,115,154,133,78,48,78,75,62,155,159,159,160,159,159,157,157,157,122,124,129,133,135,132,158,127,97,91,27,30,143,161,116,55,56,64,56,153,160,159,161,160,160,159,158,157,122,124,129,133,135,135,155,121,90,85,51,48,107,178,141,81,47,57,55,153,162,160,161,159,159,158,158,158,123,124,128,133,135,135,161,156,125,95,65,78,91,178,161,110,58,43,47,154,163,160,160,159,158,159,158,157,123,125,129,134,136,136,174,146,104,85,77,94,109,178,161,124,73,35,41,152,164,161,162,160,159,158,159,158,124,127,129,134,138,138,172,141,108,98,100,97,163,194,145,121,79,34,42,157,165,162,163,162,160,159,158,159,125,127,131,135,137,140,179,149,119,109,109,113,194,189,147,114,85,38,48,162,163,162,163,162,160,161,161,159,126,128,131,137,139,140,180,156,131,103,122,143,193,174,153,114,85,39,59,169,162,163,163,162,160,161,162,161,126,129,132,136,139,140,183,165,136,118,119,158,188,158,147,108,82,35,76,172,161,163,163,162,161,162,162,161,125,128,132,137,141,138,179,166,141,145,120,163,183,157,142,112,75,34,88,173,160,163,163,163,162,163,162,161,125,129,133,137,141,138,167,174,155,162,138,147,172,148,136,112,72,32,87,174,162,164,164,164,163,163,162,161,125,129,134,138,140,140,151,175,164,165,150,140,158,144,135,111,72,34,93,174,161,165,164,164,164,164,163,163,124,129,133,138,140,142,143,170,168,154,137,140,147,136,134,127,72,35,112,174,162,164,164,164,164,164,164,163,124,128,133,138,140,143,142,169,158,141,125,129,143,134,133,127,76,41,138,170,164,166,165,164,164,164,164,163,124,129,134,138,140,143,143,168,149,137,127,124,143,136,128,123,64,56,164,165,165,166,166,165,165,165,165,164,124,130,134,137,140,143,145,172,166,154,134,129,148,128,117,115,48,85,176,164,166,166,166,166,165,166,166,166
2,40,48,58,76,84,90,97,101,102,106,109,112,115,118,120,121,123,124,125,127,127,128,128,129,128,129,129,128,41,49,61,78,86,92,98,102,104,106,109,112,116,120,121,123,125,125,126,128,129,130,130,130,130,131,131,131,42,50,63,79,87,94,100,103,105,109,109,115,114,107,118,122,123,127,129,133,131,131,132,133,132,133,132,132,43,51,66,81,89,95,102,104,105,109,115,148,136,118,115,108,110,123,119,118,132,133,133,134,134,133,133,134,45,52,70,82,90,95,100,105,111,101,129,148,143,152,151,128,102,90,103,84,86,132,137,134,134,134,134,134,46,53,71,83,91,97,97,140,145,134,136,126,112,109,124,146,124,78,53,86,116,99,126,138,135,135,135,136,45,54,73,83,93,93,118,164,139,143,151,150,137,103,69,74,123,106,61,59,104,60,99,144,135,137,137,137,47,56,75,85,94,94,148,124,104,113,121,113,123,132,99,94,83,107,116,95,52,78,130,137,136,138,138,138,49,59,76,87,91,107,136,132,132,124,107,93,118,114,120,125,87,53,102,98,54,129,141,136,137,139,139,139,50,59,79,87,97,144,145,147,138,131,126,121,125,75,52,76,56,73,77,65,88,139,137,138,137,140,140,139,51,61,81,83,139,150,123,111,93,71,77,79,66,51,36,44,112,139,133,128,140,138,139,141,140,140,141,140,50,64,77,100,163,117,78,57,37,33,35,35,44,42,35,52,140,135,138,142,139,142,144,137,138,144,141,141,51,66,73,138,143,93,61,34,25,36,34,32,41,40,30,44,137,137,137,139,145,124,94,84,81,111,144,140,54,62,102,166,106,68,44,34,32,32,31,38,37,31,27,31,132,140,140,145,104,70,80,88,88,64,131,145,57,59,140,150,90,65,51,43,31,29,34,36,32,31,37,22,107,148,145,111,70,94,103,102,83,67,138,146,56,63,145,131,84,63,51,35,25,28,33,37,36,37,38,32,52,146,138,71,95,106,101,81,84,130,148,144,55,68,146,124,85,59,38,27,26,27,34,42,43,43,47,52,42,53,93,80,100,98,67,95,148,149,145,146,56,71,148,122,81,51,35,32,27,30,40,44,50,55,62,68,67,32,67,96,88,64,57,145,150,147,148,147,55,75,150,121,89,62,44,34,27,32,42,53,63,69,75,77,79,55,81,92,75,45,97,157,146,149,149,148,55,81,146,114,90,64,50,41,30,32,43,63,77,79,83,87,89,67,75,92,69,53,136,154,150,150,150,149,57,80,141,111,91,68,56,50,35,33,49,75,85,89,93,97,91,76,64,91,59,62,154,150,151,151,151,151,59,78,134,110,91,76,64,53,37,33,54,81,90,93,94,97,87,72,64,60,59,122,156,152,154,154,153,152,60,77,127,107,92,81,66,52,40,35,56,80,85,89,87,87,79,65,50,85,142,157,154,155,155,155,155,154,62,72,120,110,92,79,63,50,42,43,62,75,77,76,78,78,69,47,91,160,154,151,155,154,154,155,155,154,63,70,118,115,93,77,60,53,49,49,69,71,72,72,72,66,49,80,149,150,149,150,154,154,154,155,155,154,62,72,130,116,91,75,66,62,56,51,66,65,64,62,50,61,103,149,151,150,152,153,154,154,155,155,153,152,58,111,130,122,95,78,72,64,57,47,48,49,48,52,96,135,152,148,150,151,152,153,154,154,155,153,155,162,78,141,94,116,101,76,64,57,49,42,41,41,31,62,151,145,145,149,150,151,152,153,154,155,154,156,156,159
3,115,126,134,136,142,148,152,155,159,162,165,167,169,170,172,171,176,165,171,173,174,174,174,174,173,174,174,174,116,128,135,137,144,151,154,157,160,163,167,170,172,173,174,173,195,143,152,175,175,175,175,174,173,173,174,174,118,130,136,139,147,154,157,161,164,166,170,173,175,176,177,177,207,150,121,178,178,178,178,175,175,174,174,174,122,131,137,141,148,156,160,164,167,170,174,177,180,181,182,181,213,153,106,186,170,178,180,179,179,177,177,175,124,134,139,144,152,159,163,167,171,175,179,181,184,184,186,194,196,146,108,201,153,159,183,183,182,181,181,180,128,138,143,147,155,162,165,170,174,179,182,187,193,175,202,223,202,186,144,186,167,124,186,187,186,185,185,185,132,140,146,152,160,166,170,175,176,177,201,224,220,175,136,155,196,207,174,129,163,117,153,191,191,189,189,188,135,144,150,156,163,169,175,200,197,172,196,184,196,197,176,90,116,153,113,100,145,139,118,163,195,194,194,192,140,148,152,159,168,173,196,197,178,180,155,112,104,180,186,111,114,112,90,151,160,152,127,127,199,199,198,196,142,151,155,163,172,179,210,154,103,153,104,90,74,88,112,86,96,76,75,180,191,188,141,127,202,202,202,201,144,153,158,165,175,184,217,170,111,163,134,120,96,105,94,74,78,77,78,184,216,203,150,131,206,205,205,205,148,155,160,169,179,184,221,183,140,172,183,162,135,121,109,103,94,90,89,171,218,206,149,135,209,208,208,208,151,158,163,172,183,187,223,206,178,161,160,132,130,138,135,142,120,132,129,164,217,197,140,134,211,211,212,211,154,161,165,175,185,192,227,208,170,148,143,131,137,145,162,160,171,188,210,208,198,168,129,129,215,215,215,214,157,164,168,179,188,194,230,210,165,138,132,138,145,161,178,189,211,218,225,210,173,133,120,125,218,218,217,217,159,167,172,181,191,196,229,221,184,149,134,148,152,169,200,208,220,227,222,196,152,115,108,144,221,222,222,221,163,169,174,184,193,199,225,236,201,168,140,138,153,181,210,218,230,234,218,181,137,108,96,199,225,225,224,223,165,170,176,186,196,202,219,242,218,189,159,139,154,179,208,226,238,232,205,163,130,97,138,226,227,228,227,225,167,172,179,189,198,205,215,245,232,204,176,156,158,170,202,230,237,224,190,148,116,92,198,228,228,229,228,228,170,174,182,192,200,208,213,241,239,219,189,177,172,168,198,228,228,209,171,132,102,115,227,231,230,231,231,229,173,177,185,194,203,209,213,229,236,232,207,191,182,166,206,215,216,188,150,116,90,173,233,233,233,232,218,188,175,180,187,196,206,212,215,216,231,233,218,202,187,166,196,205,196,163,127,101,102,224,234,227,199,145,92,65,177,182,190,199,208,215,218,214,221,227,220,207,187,166,164,191,172,143,112,91,169,222,168,108,73,59,51,45,180,183,193,201,209,215,219,221,214,227,220,206,188,164,150,170,163,131,106,105,187,109,65,51,47,43,45,37,183,186,194,203,211,217,220,223,213,230,216,199,183,158,145,155,149,122,98,103,92,62,61,39,34,52,40,32,185,188,196,205,212,218,221,224,218,229,201,182,176,157,148,144,134,121,92,60,45,49,67,39,22,43,48,29,182,187,195,206,213,217,221,224,213,231,213,194,192,174,152,144,126,120,84,56,44,30,58,52,19,28,51,42,183,188,197,207,214,219,222,226,208,230,228,210,211,181,157,144,123,117,77,53,49,23,38,58,28,18,39,50
13,103,105,110,115,119,121,124,127,129,130,132,133,135,136,136,137,137,137,137,138,137,137,137,136,136,135,133,134,104,106,111,116,120,122,125,128,130,131,133,134,135,137,137,137,138,137,137,139,139,139,138,137,137,136,134,134,105,106,111,117,121,124,126,128,131,132,134,135,137,138,139,138,139,139,140,141,141,140,139,139,138,137,135,136,105,107,113,117,121,124,127,130,131,134,136,135,137,136,137,142,140,140,140,141,141,140,140,139,139,138,137,137,105,108,113,119,122,125,128,131,133,134,135,137,167,149,106,128,144,140,142,144,142,142,141,140,140,139,138,138,106,108,113,119,123,126,129,131,133,133,134,145,194,175,122,101,148,145,123,124,145,141,142,142,142,140,139,138,107,109,114,119,124,128,130,132,130,142,139,134,189,178,143,99,115,131,106,68,129,147,142,143,142,141,140,139,106,110,114,119,124,129,130,127,147,178,139,111,147,153,129,73,100,97,77,57,99,151,141,143,142,142,142,141,107,110,116,120,124,125,142,130,152,185,150,108,126,143,115,71,109,83,59,54,94,152,143,144,144,144,143,142,108,111,117,122,123,135,182,135,104,168,167,122,95,148,148,135,124,99,56,40,99,153,145,144,144,143,143,142,109,112,118,124,118,160,185,149,106,128,173,132,73,81,143,148,134,135,106,44,112,153,146,145,145,144,143,143,109,112,118,123,123,164,169,160,120,92,162,136,93,25,71,105,130,147,149,93,118,155,146,147,147,146,145,143,108,111,116,119,127,167,154,158,128,80,130,152,103,38,34,54,119,167,167,144,90,137,149,146,145,144,144,143,107,110,116,117,139,183,152,151,141,88,83,156,107,42,38,114,147,147,150,143,92,96,154,146,146,145,144,144,108,111,118,115,170,180,143,129,139,103,52,132,129,86,129,166,152,147,127,110,112,76,140,149,147,146,145,144,109,113,119,115,175,181,153,118,114,136,77,104,164,173,168,151,143,138,116,95,99,78,135,150,147,147,146,145,108,112,118,116,178,186,163,150,130,134,150,165,178,177,156,143,141,119,102,86,73,103,152,147,147,148,147,145,105,111,116,117,180,189,170,161,149,135,156,176,176,171,149,130,123,107,97,71,78,142,149,147,146,146,145,144,109,113,119,117,174,189,176,160,148,137,151,172,171,157,135,115,106,105,84,70,132,156,151,151,150,148,148,148,94,95,100,90,152,189,177,166,150,142,153,170,157,131,120,111,109,94,70,75,104,101,101,99,98,98,97,98,69,69,73,60,108,188,175,167,154,148,151,164,147,120,107,113,104,79,69,66,63,61,61,60,60,59,58,58,76,77,78,73,86,178,170,166,155,143,144,162,149,113,97,99,84,70,71,72,72,70,69,68,68,67,67,66,75,76,78,78,75,164,164,166,160,145,140,158,145,100,87,84,72,69,71,69,70,71,70,68,68,68,67,66,78,78,78,79,69,150,166,170,167,151,135,153,143,98,84,76,69,72,72,70,69,70,70,69,69,69,68,66,79,80,80,81,67,140,173,177,174,159,132,145,146,102,81,69,69,74,72,70,69,70,70,68,68,68,67,66,77,79,80,83,71,118,181,180,175,158,132,138,147,104,77,65,70,74,73,71,70,71,69,68,69,68,67,61,78,79,78,79,76,92,174,170,155,144,131,132,140,104,77,63,71,74,72,71,71,73,69,67,69,69,60,120,78,78,79,80,79,78,166,167,139,137,140,126,131,108,78,62,69,74,72,71,71,74,69,67,69,62,99,173
23,109,112,115,120,123,127,130,132,134,135,137,138,140,140,142,142,141,142,140,139,141,140,139,139,138,138,136,133,110,113,116,120,123,128,130,133,135,136,139,141,140,142,143,142,143,143,143,142,142,140,140,140,140,140,139,136,111,114,117,120,124,130,131,134,136,138,139,142,143,145,146,144,144,143,144,144,144,143,143,142,141,139,140,138,113,114,119,124,127,130,133,135,137,139,142,141,141,141,137,147,148,146,146,146,147,146,144,144,141,142,141,140,115,114,121,125,130,132,135,138,139,137,138,149,162,158,118,91,136,149,149,148,147,147,145,144,143,141,142,141,114,116,122,127,129,133,136,138,137,146,171,167,163,150,131,115,116,91,149,149,148,148,146,147,146,144,143,142,116,117,122,126,129,133,136,141,137,166,165,118,122,85,90,110,83,91,151,149,149,149,149,147,146,145,144,144,116,118,123,128,132,136,139,143,140,164,142,106,47,94,148,142,136,153,151,150,149,150,149,148,148,148,146,144,116,120,124,129,133,138,141,144,141,168,145,127,36,116,162,157,159,154,154,154,153,153,149,148,150,149,147,146,118,120,125,130,136,137,141,144,142,170,149,128,63,130,158,101,146,156,154,154,153,153,152,151,151,149,149,148,119,122,126,129,136,138,141,146,143,176,159,165,180,181,165,51,99,169,153,154,154,155,154,154,152,151,151,149,120,124,128,131,136,139,142,142,148,183,191,194,171,160,111,54,82,171,160,157,156,157,155,155,154,153,152,152,120,124,130,133,138,141,142,159,174,182,187,178,167,155,58,86,117,81,141,158,162,158,158,158,155,154,155,153,122,124,129,134,139,139,176,186,178,182,188,180,164,126,47,76,115,38,42,73,116,165,158,158,157,157,155,154,122,126,130,137,140,144,187,169,161,169,168,152,155,100,40,38,79,54,45,58,53,151,164,160,159,160,157,155,123,126,132,139,138,150,183,163,174,187,179,171,147,91,51,31,39,59,55,67,62,144,167,160,161,160,159,158,121,126,132,139,140,139,195,192,192,182,159,137,112,71,59,47,7,32,57,65,67,148,167,162,163,161,160,158,123,126,132,139,142,139,196,191,163,122,85,75,62,66,71,36,0,28,62,71,73,155,167,163,164,163,161,161,125,128,133,139,143,138,184,166,136,90,64,21,37,82,69,19,19,41,62,72,72,159,168,165,164,164,163,162,124,129,135,139,144,138,170,167,125,71,45,13,61,51,21,19,42,55,56,69,81,167,166,166,167,166,164,163,126,129,135,141,148,134,168,165,115,80,59,32,10,0,23,39,55,64,62,66,133,174,167,167,168,168,164,163,125,129,135,140,148,132,165,165,124,91,63,57,24,18,53,68,75,78,63,102,178,169,170,170,169,168,166,165,124,129,137,140,150,128,162,171,130,95,71,68,49,36,70,79,81,80,65,130,181,172,172,171,171,170,168,167,126,130,137,141,150,130,155,168,127,101,77,71,58,42,69,79,80,75,72,156,176,172,173,172,171,171,170,169,127,130,138,143,151,134,150,163,123,102,79,72,61,50,68,75,82,68,105,180,173,173,173,174,173,170,169,169,126,131,138,142,151,142,148,157,122,99,78,67,65,62,71,77,72,90,165,178,175,174,174,174,173,172,170,169,126,131,138,144,151,144,149,151,112,90,73,69,71,68,68,73,93,167,180,177,177,178,176,176,174,173,172,170,126,130,138,143,150,144,152,156,110,86,74,72,71,72,72,69,147,181,175,177,177,177,176,176,174,173,172,171
15,112,122,130,133,137,144,151,157,162,166,170,173,177,181,184,188,190,193,195,196,197,199,199,200,201,202,202,202,114,124,131,135,138,146,154,160,164,168,172,175,179,182,186,189,192,194,196,198,200,200,200,202,202,203,203,202,115,125,133,136,139,148,155,161,166,170,172,176,180,184,187,190,194,196,198,200,201,201,202,203,203,205,204,204,116,126,134,137,141,149,156,162,166,171,174,178,182,184,187,192,195,197,199,201,201,203,203,204,205,207,206,206,117,127,135,138,143,150,158,164,169,173,176,180,183,186,189,193,196,199,201,201,203,204,205,206,207,207,208,208,120,129,136,139,144,152,158,165,171,175,177,181,184,188,192,195,198,200,202,202,204,206,206,207,208,208,208,209,121,131,137,139,146,154,161,166,172,176,178,182,187,191,194,197,200,201,203,204,207,209,208,208,209,209,209,210,123,133,139,141,147,156,161,166,170,172,170,163,158,162,168,174,179,179,172,165,167,182,198,207,210,212,213,212,123,133,139,144,149,154,154,151,151,152,145,138,135,133,135,137,145,153,146,141,128,118,127,141,161,179,197,206,125,135,143,150,147,149,142,127,126,121,112,120,133,134,130,123,139,158,154,151,137,123,117,106,96,98,111,131,127,137,141,129,114,109,95,80,83,83,80,86,97,97,91,91,125,139,139,136,127,125,130,120,105,94,89,94,128,137,141,140,132,120,115,124,141,153,160,158,152,143,130,109,120,122,124,109,112,122,143,130,115,101,94,101,129,137,141,146,154,160,166,172,177,180,185,189,192,196,182,149,135,116,104,91,110,134,155,140,128,113,107,113,129,136,141,146,153,161,167,172,177,180,185,189,192,188,166,161,131,78,76,60,121,164,163,143,138,127,119,119,129,137,140,145,153,161,166,172,176,180,183,188,190,178,162,141,116,52,48,42,137,178,166,142,138,128,119,112,131,137,140,145,153,160,167,172,176,180,185,188,184,175,169,126,76,41,45,34,135,181,163,137,122,114,106,97,131,138,141,146,154,161,168,172,176,180,184,189,186,164,172,146,76,45,50,48,137,170,157,127,103,94,83,80,131,139,143,147,155,162,168,172,177,181,185,189,193,182,172,166,117,73,100,138,152,151,145,111,86,77,70,75,131,138,142,147,155,162,168,173,178,181,186,190,193,197,181,170,153,140,142,140,133,121,101,81,71,66,70,76,132,137,141,147,155,163,169,173,178,183,186,190,194,196,179,158,157,140,109,106,92,76,79,121,124,125,142,161,129,135,138,145,154,160,166,172,178,183,187,190,193,175,143,128,129,114,85,72,58,46,59,165,216,214,217,218,104,109,112,117,121,125,132,135,139,145,150,154,169,158,127,104,87,84,68,51,48,44,55,111,207,208,211,213,91,92,93,95,98,97,96,97,99,99,101,102,124,134,96,72,64,78,87,71,70,87,84,98,130,134,138,142,95,96,98,100,101,102,102,102,104,106,107,107,111,107,85,87,97,106,108,106,105,108,108,106,107,107,107,107,96,97,98,100,101,101,102,103,104,106,106,107,107,105,109,114,113,111,109,110,110,110,110,110,111,111,112,112,97,98,100,101,102,102,103,104,103,104,105,105,107,107,109,111,112,114,111,110,109,109,111,112,112,113,114,115,97,98,101,102,103,104,104,105,105,106,106,107,108,108,108,108,108,111,110,109,109,110,111,112,112,113,114,115,96,97,100,102,103,104,104,105,106,107,106,108,108,109,109,108,108,109,110,110,110,110,111,112,111,112,113,113
4,140,146,152,154,157,162,164,166,168,170,172,175,177,179,181,182,182,182,184,187,187,188,189,190,190,190,190,191,141,147,152,155,158,160,164,167,169,171,171,175,177,181,180,180,184,187,186,185,190,189,190,191,191,191,191,192,143,148,153,156,160,163,165,167,169,172,173,177,174,181,184,184,181,174,185,189,187,193,192,192,193,192,192,192,144,150,153,157,161,164,167,168,170,172,169,181,191,174,167,204,184,136,119,169,154,147,193,194,193,193,194,195,144,150,154,158,161,165,169,168,171,189,168,158,183,181,127,170,176,132,87,121,149,106,144,202,192,195,195,195,144,150,154,157,162,166,170,165,191,216,192,163,127,136,120,143,173,121,83,149,150,109,101,200,197,197,197,197,145,151,156,158,163,167,168,168,212,184,194,155,120,92,98,155,189,116,128,169,128,88,86,193,198,196,198,198,147,152,156,159,163,167,163,182,202,155,189,128,98,96,93,128,164,159,179,157,134,77,100,200,196,198,199,199,147,153,157,160,165,169,163,197,197,164,179,130,92,111,127,130,160,177,158,164,158,123,121,208,197,200,201,201,145,152,158,162,164,168,167,210,188,171,163,144,76,132,188,165,163,157,141,185,171,158,133,190,203,199,203,203,147,153,159,162,165,167,178,207,165,142,130,112,69,91,154,145,144,112,121,193,186,179,147,130,201,203,203,203,147,153,159,162,168,163,195,206,167,144,126,99,79,71,82,97,98,110,151,174,189,181,164,122,146,211,202,204,147,154,159,164,169,166,215,200,171,156,133,112,92,82,83,92,136,196,190,176,172,156,155,144,106,186,209,204,148,156,159,165,165,174,225,199,183,160,129,111,98,91,130,182,208,207,186,172,158,134,135,137,105,172,214,204,150,156,160,165,162,192,231,203,182,152,132,127,103,131,195,209,207,205,183,164,147,125,116,118,113,199,207,206,150,156,162,166,163,207,233,202,174,153,149,135,127,182,196,199,204,195,176,155,137,118,112,100,162,214,204,206,151,155,160,167,162,213,230,196,179,174,164,144,166,190,196,199,195,184,164,144,128,114,101,120,206,205,208,209,151,157,161,168,163,217,229,203,192,184,167,159,184,192,200,195,179,169,150,134,122,110,96,181,213,205,209,210,153,157,162,167,163,210,229,211,200,184,166,156,177,191,190,183,167,156,140,124,117,95,138,215,206,207,211,211,152,158,163,167,164,199,227,208,199,184,162,148,168,179,177,170,155,146,131,116,104,105,198,212,208,208,210,210,153,159,164,168,168,188,222,199,183,173,156,154,167,177,176,164,145,134,121,109,94,177,214,209,210,211,211,211,154,159,165,170,169,185,213,182,176,168,161,168,161,167,168,156,140,126,115,91,152,214,208,210,210,212,212,212,154,159,163,171,168,183,209,180,185,176,184,180,157,154,161,147,128,121,97,122,209,206,210,211,211,212,212,212,155,160,165,170,170,193,209,194,187,184,180,171,151,140,152,138,121,112,95,188,210,208,212,212,212,213,212,213,156,161,165,165,197,213,187,182,194,188,171,158,145,132,139,129,120,93,134,215,206,210,211,211,212,213,213,213,156,161,161,180,217,206,209,148,155,189,163,149,141,125,125,122,117,85,153,217,207,210,212,212,212,213,213,214,156,162,164,210,208,205,209,207,133,136,151,146,131,110,120,115,111,86,159,217,207,210,212,213,213,214,214,215,159,156,192,217,199,208,207,206,208,125,114,137,122,108,116,110,108,83,165,216,209,211,211,214,214,215,215,216
5,180,182,185,188,187,187,188,189,190,190,191,190,191,191,192,190,197,182,190,190,188,187,185,185,184,182,181,180,182,185,188,189,189,189,191,189,204,196,160,195,193,193,194,191,220,149,183,193,192,189,187,187,186,185,183,182,184,186,189,191,191,193,194,192,203,225,141,192,196,194,193,200,228,136,180,196,193,192,190,189,188,187,186,186,186,188,190,193,193,193,195,195,200,237,149,184,200,197,194,222,208,132,193,196,195,194,193,192,190,189,189,187,189,191,193,194,197,216,166,194,201,246,173,177,203,199,202,235,176,142,202,197,197,197,195,195,194,192,190,189,191,193,195,196,195,230,163,175,203,251,198,169,204,197,223,229,153,168,203,200,200,197,196,197,196,194,192,192,193,195,196,199,195,229,193,155,208,246,193,161,205,205,228,197,135,191,204,202,202,200,199,198,196,194,194,194,195,196,199,200,197,226,228,158,205,236,182,149,207,211,208,147,147,207,204,203,203,202,201,200,199,196,195,195,196,198,201,202,200,214,252,179,191,235,200,153,203,202,192,125,182,209,206,205,204,203,202,202,201,200,198,198,198,199,201,203,203,209,255,209,164,233,199,161,174,180,180,136,202,209,206,207,207,204,203,203,202,202,201,199,199,200,202,204,205,206,247,245,181,208,188,175,134,155,159,150,209,210,209,209,208,207,206,205,204,202,201,200,200,202,204,206,207,206,228,255,242,190,164,173,126,131,136,170,214,212,211,207,207,206,206,204,204,204,203,202,202,204,206,207,208,209,211,249,255,230,159,150,131,125,118,180,213,208,213,218,223,225,224,217,206,202,191,194,204,206,208,209,210,211,209,229,255,250,205,141,125,123,118,144,187,202,195,176,189,203,191,194,205,191,146,175,205,207,208,210,211,213,213,213,249,255,218,155,126,122,119,130,149,169,151,123,143,156,156,172,179,177,143,198,207,209,210,211,213,215,216,213,237,255,217,156,127,119,118,127,125,121,130,181,212,212,213,211,209,185,157,207,208,209,211,213,215,217,217,215,235,255,218,162,131,117,120,118,121,176,211,220,217,217,209,209,194,157,198,211,208,211,213,214,215,218,218,216,242,255,219,167,134,120,114,100,190,227,220,219,218,210,196,208,156,175,216,210,209,213,215,216,216,218,218,218,247,255,213,166,133,118,110,110,161,194,217,218,201,196,199,187,133,194,217,213,210,213,216,218,217,217,219,222,253,250,205,165,129,110,108,119,120,135,156,170,178,193,191,154,159,215,216,206,211,214,215,217,218,219,218,228,255,246,202,159,125,106,108,113,123,144,149,159,179,174,154,177,217,220,177,133,209,213,215,216,218,219,218,236,255,240,195,151,129,109,113,120,142,160,155,151,159,143,186,220,220,204,126,122,212,214,216,218,219,220,219,244,255,229,182,157,138,112,120,139,156,161,157,137,135,196,222,218,222,183,119,117,213,215,217,219,221,221,222,252,254,217,180,167,144,114,123,147,158,157,147,142,205,225,221,226,189,118,105,94,213,216,218,222,223,221,230,255,251,215,187,170,144,115,121,146,148,146,133,202,229,225,225,213,137,106,99,84,214,217,218,221,221,220,242,255,248,222,195,164,133,107,112,132,136,126,178,230,226,227,185,133,110,99,86,74,216,218,220,222,224,224,252,255,244,222,177,128,102,84,90,100,118,171,229,230,227,173,123,112,103,96,86,72,200,203,207,208,190,207,255,251,228,194,133,88,74,65,70,62,137,234,230,228,167,112,108,101,93,90,92,80
13,139,140,143,146,146,148,149,149,151,152,152,151,151,151,152,151,148,147,146,145,146,144,141,138,137,135,133,133,139,141,143,147,149,150,151,152,153,154,155,157,160,153,154,157,157,150,149,147,145,145,144,142,141,138,136,134,141,144,145,148,151,153,153,154,154,156,139,104,113,164,137,99,112,157,151,150,148,147,146,145,142,142,139,136,142,145,147,150,153,153,155,158,156,162,138,96,60,101,111,75,20,118,164,151,151,150,149,146,144,143,141,138,143,146,149,152,153,155,157,159,156,172,166,119,88,24,100,95,31,65,170,151,153,152,150,148,145,143,143,139,144,148,151,153,154,156,158,159,159,162,169,121,80,19,66,87,30,42,167,155,155,152,150,149,148,145,143,141,145,150,153,155,157,158,159,160,166,167,156,118,71,24,32,57,16,32,166,156,156,153,152,150,151,148,146,143,146,150,153,156,159,160,161,160,145,151,138,116,75,40,27,72,18,45,169,156,158,157,155,153,152,150,147,144,148,151,153,157,160,162,162,143,83,57,67,120,120,60,39,82,32,52,174,157,160,159,156,153,152,151,148,146,149,153,155,158,161,162,176,141,83,65,37,119,139,73,27,65,27,6,142,167,160,160,157,155,154,152,151,148,151,154,156,159,160,151,109,114,108,93,44,22,77,32,17,29,27,20,65,172,160,161,158,157,157,153,151,149,151,154,158,156,168,142,67,49,122,98,75,0,0,0,9,34,51,65,25,128,172,159,160,158,157,155,152,150,152,155,156,169,178,120,84,57,87,112,76,42,0,7,15,57,82,80,33,63,178,160,161,159,158,155,154,152,153,157,159,177,129,118,105,83,49,101,86,60,0,21,93,106,88,64,37,45,174,161,160,160,159,157,154,152,152,155,160,179,125,90,100,77,49,67,73,30,0,36,111,123,99,56,19,64,179,162,162,162,160,159,156,151,154,155,165,164,126,74,63,63,28,3,35,22,0,67,122,113,96,55,1,101,181,164,162,161,159,159,156,152,154,157,162,165,153,117,67,30,2,0,31,39,41,130,134,104,86,46,3,141,177,166,163,161,160,159,157,153,155,159,160,163,158,132,98,75,52,50,63,63,121,156,124,93,71,36,23,169,169,167,166,163,161,160,158,155,156,161,161,161,155,138,111,83,60,64,110,148,150,136,111,84,61,18,51,184,168,169,166,163,161,158,158,157,156,160,163,165,141,123,107,81,63,66,98,145,138,121,95,70,52,2,87,187,169,170,167,163,161,160,159,159,155,159,163,166,133,121,109,87,79,71,88,133,136,117,83,54,39,0,133,183,171,169,168,165,161,161,161,158,157,160,162,169,152,121,111,97,86,70,79,124,126,102,66,41,10,26,179,172,172,170,168,167,163,161,160,158,155,159,162,167,169,130,112,101,82,68,65,100,108,83,49,31,0,109,188,172,174,171,169,167,164,163,161,159,156,159,164,167,172,164,121,95,76,69,64,83,100,76,48,20,14,172,176,174,172,171,169,167,165,164,162,159,157,160,165,169,170,171,140,106,83,75,81,82,94,77,45,8,73,191,173,174,174,173,170,167,167,166,163,159,156,160,164,166,168,164,150,119,110,107,102,91,95,72,35,8,126,186,172,173,172,171,169,166,166,164,162,159,154,158,162,167,167,153,160,133,124,117,105,99,84,59,29,15,159,178,173,171,169,169,167,164,162,161,158,157,154,159,161,166,166,149,168,139,127,125,104,88,63,53,17,30,177,174,174,171,170,170,168,166,164,161,158,157
4,92,104,116,123,129,133,137,140,143,145,149,151,153,155,158,159,161,162,164,165,166,167,168,167,168,168,168,169,93,105,117,124,130,134,138,141,144,147,150,152,153,156,159,160,158,159,164,165,167,169,169,169,170,170,170,170,95,107,118,125,131,135,140,143,145,147,151,155,151,152,162,164,145,135,152,155,151,161,169,171,172,172,172,171,97,109,120,127,132,137,141,145,147,148,156,169,157,143,158,168,135,105,123,136,114,127,164,173,173,173,174,174,99,111,121,128,133,137,142,147,155,156,148,157,163,137,132,152,123,89,95,119,100,96,151,174,174,175,176,176,100,113,123,129,134,138,142,151,171,170,149,133,131,119,108,131,112,82,95,117,96,85,147,175,176,176,177,177,102,114,123,130,135,139,143,160,179,175,157,128,99,91,98,135,118,88,116,120,86,86,155,177,177,178,179,179,104,116,124,131,136,140,146,167,164,157,148,113,82,75,90,134,127,119,137,114,77,97,165,179,179,180,180,180,106,117,126,132,137,141,150,173,154,144,135,94,72,75,81,113,135,150,144,123,94,113,172,180,180,181,181,181,109,118,126,132,138,142,156,178,158,146,128,89,67,96,114,129,143,144,136,134,118,120,164,180,181,182,182,182,111,119,126,133,139,144,163,175,147,129,114,85,62,106,132,131,129,119,132,147,136,121,135,171,182,184,185,184,113,120,127,134,139,145,170,172,140,116,98,71,52,71,97,102,100,96,128,154,152,134,115,142,178,185,186,186,113,121,128,135,140,151,183,176,146,122,100,77,59,59,72,84,104,126,140,155,157,141,115,111,160,185,187,187,116,122,128,136,141,158,192,177,152,130,103,83,73,84,109,133,158,170,163,155,145,134,119,102,140,184,188,188,118,123,129,136,142,165,199,182,160,133,106,93,89,118,154,174,184,181,164,147,128,116,110,102,144,185,189,189,119,123,130,137,142,173,202,184,159,129,110,103,107,147,176,187,190,182,159,136,115,99,96,114,167,188,190,190,119,123,130,138,144,176,201,181,153,131,120,114,128,165,181,187,186,172,148,125,106,91,97,146,184,190,191,191,120,124,130,138,144,177,198,178,158,144,135,129,148,171,179,181,175,157,135,114,98,89,121,175,190,192,193,193,121,125,131,138,144,174,195,182,170,158,145,142,159,171,175,170,158,142,122,105,92,102,159,190,192,193,194,195,121,125,132,138,144,168,193,187,177,161,145,141,155,164,163,153,140,127,110,96,94,137,184,192,192,194,195,195,122,126,133,140,144,162,189,183,172,157,139,130,141,150,150,140,125,113,100,91,117,172,191,193,193,194,195,195,122,127,134,140,145,158,184,175,161,148,133,127,134,143,141,128,113,102,91,102,156,189,193,194,195,196,196,196,122,127,135,141,146,157,178,166,152,142,132,132,131,135,135,121,106,93,92,138,183,193,194,195,196,196,197,197,122,128,135,141,148,164,177,164,153,146,144,142,129,124,124,111,97,88,116,173,192,194,195,196,197,197,197,197,123,128,136,142,159,182,175,157,154,151,147,138,123,114,113,103,90,90,147,188,193,195,196,196,197,197,197,198,124,129,136,148,178,192,181,144,134,146,140,129,116,105,103,96,85,91,162,191,193,195,196,196,197,198,198,199,124,130,138,162,191,192,189,164,117,118,124,118,108,95,94,89,80,92,166,191,194,195,197,197,198,199,199,200,124,130,143,179,192,190,190,184,139,94,103,110,100,86,88,85,78,91,165,193,194,195,197,198,199,199,200,201
21,117,121,126,131,133,135,138,140,142,143,144,145,146,146,147,144,143,144,143,142,142,141,139,140,138,135,135,134,117,122,128,132,134,138,140,142,143,144,147,148,149,150,147,148,150,146,146,144,143,142,141,140,140,137,136,135,119,124,128,133,135,139,141,142,144,147,149,150,152,149,159,113,112,156,147,148,146,144,143,142,141,140,139,137,121,125,130,134,137,141,143,143,146,150,152,152,153,152,177,91,61,159,149,149,147,146,144,143,143,142,140,138,121,126,133,136,139,143,146,147,148,152,154,154,151,156,173,91,75,160,150,151,149,146,148,148,145,143,143,142,123,128,133,138,140,143,146,149,151,153,154,156,151,165,171,87,79,162,151,152,150,118,86,148,148,146,145,144,126,131,134,139,143,145,149,151,152,153,154,157,154,171,171,88,88,164,152,152,146,101,52,144,150,147,146,145,126,132,136,141,145,148,151,152,153,155,157,159,157,173,166,90,91,165,154,153,141,90,70,157,150,150,148,146,125,130,136,141,144,148,151,153,156,158,159,161,156,177,161,88,85,168,155,151,134,73,98,163,152,152,150,147,126,132,138,143,145,150,152,154,157,159,160,161,158,183,162,86,80,168,157,148,128,65,132,160,153,153,151,150,129,134,140,146,148,151,153,155,158,161,162,163,159,193,163,77,96,172,149,142,105,70,159,157,155,154,153,151,130,136,141,145,149,152,154,157,160,160,161,159,168,189,141,64,112,170,143,141,70,93,167,157,156,155,155,153,131,137,142,145,149,153,155,158,159,169,142,104,133,163,103,47,118,166,154,126,56,137,166,158,156,156,155,154,131,139,143,147,151,154,156,160,159,171,140,82,70,65,60,40,127,161,153,93,71,167,161,160,159,158,157,155,131,138,143,147,152,155,159,160,167,164,156,133,108,58,34,62,110,130,125,60,112,175,161,162,161,159,158,157,134,140,145,149,153,156,161,160,182,188,175,193,151,95,35,52,70,88,82,53,151,170,162,164,163,161,160,160,135,140,145,151,154,158,159,172,164,162,171,187,138,75,45,40,54,63,53,79,174,166,166,166,164,164,162,160,135,141,146,152,156,159,158,182,131,119,155,125,131,87,56,42,37,52,39,116,181,167,167,167,166,165,162,161,136,141,147,152,157,161,160,186,162,125,91,58,140,117,68,48,36,43,41,141,179,169,169,168,167,165,164,164,136,142,148,154,157,160,165,187,146,94,67,40,113,138,88,57,45,42,34,140,180,169,170,169,168,167,164,164,137,143,149,154,159,159,171,188,136,116,113,74,145,159,109,86,53,47,34,138,183,169,170,170,170,169,167,164,137,143,149,155,160,158,180,191,148,140,100,124,212,161,115,103,62,51,43,147,183,172,172,172,170,169,168,167,137,144,150,156,161,159,182,193,173,128,107,194,199,145,107,100,69,55,48,152,183,174,174,172,172,170,169,168,139,145,151,157,162,160,181,208,174,120,131,202,180,140,102,87,74,56,60,166,182,176,176,175,173,171,170,170,137,144,151,156,161,160,181,198,143,138,135,198,175,146,124,76,65,56,74,178,178,175,176,176,173,172,171,170,134,142,150,154,157,158,175,174,140,166,124,195,175,136,122,83,62,54,92,183,175,176,175,174,171,169,169,169,136,143,150,155,158,161,169,164,180,174,130,191,159,121,98,76,66,53,108,185,176,177,175,174,173,171,171,169,135,143,151,155,159,162,165,169,183,157,123,173,142,106,77,65,63,50,126,186,177,179,176,175,173,171,172,170
10,101,105,108,111,113,116,118,121,123,124,125,126,127,127,128,127,128,129,129,129,129,129,129,129,130,129,129,129,104,107,109,113,116,119,121,123,125,127,128,129,130,130,130,130,131,131,131,132,131,131,131,130,132,131,130,130,106,109,113,115,118,121,124,126,128,130,131,132,132,132,134,134,134,136,135,134,134,134,133,133,134,134,134,132,107,112,115,118,121,124,127,130,132,133,134,135,135,135,136,136,138,129,131,139,137,137,136,137,136,136,136,136,110,114,118,120,124,126,129,132,135,136,137,137,138,138,139,135,147,127,92,143,138,138,138,139,139,139,139,138,113,116,119,123,126,129,131,134,137,138,138,139,140,141,140,139,145,150,91,117,146,140,141,142,142,141,142,140,114,118,122,125,127,130,133,136,138,140,141,141,142,143,143,145,143,156,123,92,146,143,143,144,144,143,143,143,115,119,124,126,130,133,135,138,140,141,142,143,143,144,143,137,141,159,159,99,128,150,144,145,145,145,144,144,118,122,125,128,131,135,138,140,141,142,143,145,146,145,154,114,85,157,174,124,97,154,146,149,148,148,148,146,119,123,126,130,133,137,139,141,143,144,146,147,148,146,157,142,78,104,177,146,82,140,152,150,150,150,149,149,120,124,128,132,135,138,140,142,145,146,148,149,150,149,152,176,145,101,129,159,88,120,157,149,151,152,151,151,121,125,129,133,137,138,142,144,145,147,149,150,148,157,148,146,180,121,64,139,103,98,162,150,153,154,153,153,123,126,130,134,138,140,142,145,146,149,149,150,153,161,141,81,129,138,76,71,86,79,163,152,155,155,155,154,123,126,131,134,138,141,143,146,148,150,151,150,172,157,120,54,47,137,108,50,46,53,144,160,155,155,155,156,123,127,132,135,139,142,144,147,150,151,152,149,174,150,79,23,14,102,121,81,42,38,103,166,156,157,156,156,125,129,132,136,139,143,146,149,151,150,159,161,145,171,141,63,10,93,129,117,70,41,79,165,157,158,157,156,126,130,132,137,141,144,147,149,152,150,164,178,156,140,175,123,51,128,149,133,85,39,66,163,160,160,160,158,127,131,134,137,140,145,148,150,151,153,151,155,177,129,129,168,103,133,152,126,92,42,60,164,161,162,161,160,126,129,133,136,140,143,146,149,150,152,153,130,144,121,83,136,96,138,161,123,88,50,59,163,162,162,161,160,126,131,134,137,140,142,145,149,150,150,160,162,132,120,90,96,171,176,158,125,78,49,63,162,161,161,159,160,126,130,133,137,141,144,146,148,150,150,159,176,150,120,111,145,187,171,152,113,72,51,69,165,161,161,160,160,127,130,133,137,141,143,146,149,150,153,152,171,158,148,137,158,180,158,137,102,68,61,62,162,162,161,161,160,127,131,134,138,140,143,146,149,150,152,153,164,163,159,154,147,177,146,127,102,88,80,62,160,162,161,162,162,124,128,133,138,143,146,149,152,155,156,159,162,167,166,163,133,159,143,134,113,108,82,71,166,164,163,163,163,68,71,75,80,84,87,91,97,100,103,103,119,170,168,158,136,135,138,145,127,102,68,77,155,153,156,158,160,61,62,63,62,61,59,58,60,61,61,63,62,142,157,142,135,126,132,156,132,93,64,60,72,75,77,80,82,66,66,68,68,68,72,72,71,71,71,73,63,100,152,132,134,133,135,147,127,89,60,67,72,69,70,69,68,63,64,65,65,65,67,68,71,70,68,68,67,76,145,143,135,141,134,132,131,89,60,73,80,77,80,79,81
22,61,64,70,79,87,94,99,102,106,111,114,117,120,122,125,126,127,129,128,128,128,129,127,126,126,126,125,124,61,65,71,81,90,97,101,104,108,113,116,120,123,125,127,128,129,131,132,131,131,131,130,129,129,128,128,127,62,67,71,82,91,98,103,106,110,116,120,123,125,126,129,131,131,132,134,134,133,134,133,133,132,131,131,130,63,67,73,83,92,101,106,108,111,117,122,122,129,129,131,133,133,135,135,137,140,137,136,136,134,137,134,133,64,68,75,85,94,104,108,110,114,119,122,146,107,123,136,135,136,138,141,131,121,142,139,137,138,120,134,135,64,67,75,87,96,105,109,111,116,119,132,171,85,108,141,135,139,139,157,119,72,144,139,148,138,71,112,143,64,67,75,88,97,105,110,112,119,121,135,177,96,103,145,137,141,145,159,98,72,150,142,158,130,65,127,144,65,68,76,89,100,107,111,114,121,124,133,181,114,98,147,141,141,156,158,78,102,154,160,152,90,83,150,141,66,69,78,90,101,109,112,116,123,126,135,186,133,91,146,144,145,152,140,67,125,158,169,141,77,126,151,144,66,69,79,92,102,110,114,117,124,129,134,181,136,85,139,147,150,160,122,58,146,168,145,106,87,152,147,146,67,69,79,92,103,111,116,118,125,132,133,176,156,96,128,150,159,175,109,61,184,180,138,71,121,156,148,149,66,69,80,93,103,113,117,121,126,134,132,172,169,112,118,156,157,165,64,97,200,171,118,75,153,151,152,151,66,70,81,94,104,114,118,121,128,135,134,155,163,102,79,141,147,152,125,168,175,149,77,100,164,153,154,152,68,70,81,94,105,116,119,122,129,135,137,138,162,99,103,149,155,161,179,174,158,108,59,145,160,155,154,153,67,71,83,96,107,116,120,124,128,140,155,110,150,124,127,173,151,168,167,168,137,70,99,169,157,158,155,155,67,71,83,97,107,117,120,125,126,160,163,133,117,122,107,132,150,168,163,145,112,64,135,168,159,159,157,157,68,71,83,97,107,118,122,127,130,156,155,158,148,144,104,53,106,144,142,110,99,62,149,167,162,161,159,158,68,72,85,97,108,118,122,127,130,149,162,137,145,133,98,79,56,66,92,90,79,63,163,166,164,162,161,160,67,72,86,98,111,119,123,128,129,156,155,134,117,108,120,109,85,59,54,50,72,60,161,168,164,163,162,162,68,71,85,99,110,119,124,128,132,152,190,161,113,105,118,126,107,87,81,55,42,52,155,169,165,164,163,163,68,72,85,99,111,120,124,128,134,145,200,152,135,132,157,166,123,101,92,50,32,43,158,169,166,165,164,164,67,72,86,99,112,121,124,128,135,142,197,163,142,166,190,180,139,109,89,48,29,56,170,167,167,166,165,165,68,71,86,100,112,122,124,128,137,140,190,174,144,163,190,158,138,99,82,54,24,78,179,167,168,166,166,165,66,72,86,100,112,121,124,130,138,138,178,185,160,155,190,145,139,122,81,55,23,86,182,168,170,168,166,165,64,71,87,100,112,121,124,129,138,139,163,188,168,142,182,153,134,126,83,48,22,103,182,169,170,169,167,166,62,69,86,100,112,120,122,129,137,145,159,183,170,129,160,148,120,107,67,40,29,138,178,169,170,168,167,166,62,69,86,100,111,120,123,130,139,134,107,162,162,114,116,116,91,74,49,38,52,169,172,170,171,168,167,167,60,67,84,99,111,120,123,128,145,75,0,126,147,96,106,112,97,70,56,34,79,183,170,171,170,169,168,168
23,81,84,88,97,106,116,122,126,129,134,140,144,147,150,152,154,157,159,161,161,161,161,161,162,163,162,161,161,81,84,89,98,108,117,124,128,131,136,141,145,149,151,152,155,159,160,161,162,163,163,163,163,164,163,162,162,82,84,89,99,109,118,125,129,132,137,142,147,150,152,155,157,160,162,163,164,165,165,165,165,165,164,164,163,82,85,90,100,110,119,126,130,133,138,144,148,151,154,157,159,161,163,165,165,166,166,166,166,166,166,165,164,83,86,90,100,111,120,127,131,135,140,145,150,152,155,158,160,162,164,165,166,167,166,166,166,166,166,166,165,83,86,91,101,112,121,128,132,136,141,146,151,154,157,159,162,164,165,166,167,168,168,168,167,167,167,166,166,83,86,92,102,113,123,129,132,136,142,148,152,155,158,161,163,165,166,168,169,171,172,169,168,169,168,167,167,83,86,93,103,114,123,130,134,138,144,149,154,157,160,163,165,166,168,170,176,190,190,178,167,160,166,168,168,83,86,93,104,114,124,131,135,139,145,151,155,158,161,164,167,168,172,184,199,202,181,171,155,135,159,170,170,84,86,93,105,116,126,132,136,140,147,152,157,160,163,166,168,171,187,212,192,162,136,145,149,149,167,172,172,84,87,94,106,117,127,134,137,141,148,154,158,161,164,167,169,175,208,221,159,126,143,163,170,173,174,173,173,84,86,94,107,118,128,134,138,143,149,155,159,163,166,169,171,184,222,225,183,170,161,163,176,177,176,175,174,83,87,95,107,118,128,135,139,144,150,156,161,165,168,173,180,199,225,229,219,200,150,140,173,178,178,177,176,83,87,96,107,119,130,137,140,145,151,157,163,168,181,194,204,215,201,208,203,181,130,115,154,173,179,179,178,84,88,97,109,121,131,138,142,147,153,159,166,184,201,204,211,216,197,208,208,178,122,98,129,156,180,181,180,84,88,97,110,122,132,140,144,149,155,161,181,205,202,196,198,195,184,193,193,163,113,86,103,126,171,182,182,85,88,97,110,122,133,141,144,149,156,167,208,227,212,199,196,190,181,175,152,130,105,81,95,102,139,176,183,85,88,97,110,123,134,141,145,150,157,173,221,232,210,183,176,181,181,168,132,112,103,76,93,101,116,164,184,84,87,97,111,123,135,142,145,150,157,175,222,228,195,154,132,137,156,153,120,110,99,74,93,105,124,170,186,84,88,98,112,124,135,142,145,150,158,178,226,225,175,127,99,97,146,146,114,107,89,81,101,113,147,183,188,84,87,99,112,124,136,142,146,152,159,182,229,217,167,121,90,95,136,128,104,90,75,89,109,129,173,189,191,83,87,99,112,125,136,143,147,153,159,187,230,211,164,123,92,83,94,93,82,77,79,92,111,150,188,192,192,81,85,98,112,124,135,142,145,152,160,192,229,205,162,124,90,68,71,77,84,93,96,99,119,169,192,192,192,80,84,97,111,124,136,143,146,153,162,197,226,200,161,125,97,79,84,96,104,108,104,107,146,186,194,193,193,79,83,96,110,124,136,143,147,154,163,196,219,193,159,128,104,89,93,107,114,113,106,127,178,194,195,195,194,77,82,94,109,124,136,143,147,153,163,196,212,187,160,134,112,98,97,110,117,114,112,153,193,196,196,195,194,75,80,92,108,122,134,142,146,153,164,201,209,190,171,146,121,105,100,109,114,114,133,180,197,197,196,195,195,76,81,92,107,120,132,140,145,152,167,208,214,199,182,156,127,109,102,108,111,120,163,193,196,195,195,195,195
16,192,193,192,193,194,194,195,195,195,196,195,195,195,196,196,196,196,196,196,197,197,195,196,197,197,195,196,196,193,194,195,195,195,195,195,196,197,197,196,196,196,196,196,197,197,197,197,199,199,198,198,199,198,198,198,197,194,195,195,196,197,196,196,197,198,199,198,198,198,197,198,198,199,199,200,201,200,199,199,200,200,200,200,198,195,195,196,196,197,197,197,199,199,199,200,200,200,199,199,200,202,202,201,201,200,199,201,200,201,201,200,200,195,196,197,197,199,198,198,199,199,199,201,201,201,200,198,182,181,181,197,205,201,202,200,201,201,201,200,199,195,196,196,198,199,199,199,199,200,200,197,190,188,203,212,169,148,137,126,168,204,206,201,202,201,202,201,200,195,196,197,198,200,201,201,200,200,202,194,171,183,217,213,185,165,148,116,86,122,184,207,203,202,202,202,201,195,196,198,200,200,201,200,193,185,221,208,181,198,219,204,192,178,151,108,100,80,92,154,206,202,202,202,201,197,197,198,200,202,199,210,189,191,213,206,189,202,219,189,182,170,143,94,106,88,84,80,144,206,204,203,203,198,198,199,201,201,200,223,201,195,205,205,201,195,208,175,174,159,130,89,95,85,88,85,76,145,210,203,205,200,200,200,202,200,201,209,202,189,205,211,205,198,203,179,171,149,114,87,84,80,86,87,82,72,173,210,206,198,199,200,200,203,206,199,207,200,197,213,206,202,213,193,172,141,103,82,72,75,85,84,82,74,114,210,206,198,197,198,198,211,203,199,209,214,199,206,205,204,212,198,167,128,95,71,59,77,89,88,83,76,89,203,206,197,198,199,199,205,206,203,202,213,202,205,212,211,209,196,156,113,85,50,56,76,91,95,94,78,100,207,205,199,199,200,201,201,208,213,206,211,207,177,219,218,207,196,149,99,58,26,55,73,85,102,94,82,110,210,205,199,199,200,201,201,208,215,216,190,202,181,210,217,210,198,141,87,28,19,45,63,81,109,87,81,119,209,205,199,200,200,201,202,201,204,222,161,172,200,200,212,214,193,134,79,27,15,30,55,91,116,84,76,147,212,206,200,200,201,201,202,201,190,202,218,193,189,199,215,218,186,130,74,45,30,23,62,114,117,84,77,167,212,208,200,201,202,203,202,202,194,181,205,201,193,197,218,218,180,123,72,63,63,46,86,141,130,91,74,166,212,208,188,191,193,195,196,200,202,190,190,192,180,173,210,215,176,113,74,73,73,59,110,166,160,113,72,173,212,207,113,117,120,122,126,131,134,136,137,139,112,116,199,215,175,103,79,81,81,74,123,169,176,143,82,163,209,221,98,98,98,97,95,98,97,95,95,96,96,91,194,220,176,100,103,92,86,86,129,168,183,172,110,154,225,244,102,103,104,102,100,102,102,102,102,102,106,91,181,224,173,107,152,112,99,87,114,157,178,184,138,162,226,240,100,101,102,101,102,102,103,103,103,104,104,96,156,220,170,118,183,133,115,102,89,132,168,164,131,118,226,224,100,101,100,103,103,103,103,103,104,105,106,97,144,233,160,137,204,158,134,120,99,88,133,139,107,140,194,201,100,101,99,100,101,103,103,102,104,105,106,98,139,225,126,181,213,176,151,138,112,85,84,95,98,202,160,177,100,100,100,100,101,102,102,102,104,104,104,102,114,140,165,220,213,186,164,149,122,91,80,78,91,225,196,158,99,101,99,102,102,100,101,104,104,103,104,105,101,108,210,224,217,193,171,156,132,97,81,80,93,231,224,197
11,142,144,147,150,152,155,157,158,159,159,159,159,159,159,159,159,159,158,157,156,155,154,153,151,149,147,146,145,143,146,149,152,154,156,158,159,160,160,161,161,160,158,159,160,159,159,158,157,156,155,153,152,151,149,148,145,146,148,151,153,156,158,160,162,163,163,163,163,164,148,150,161,161,160,159,158,157,157,155,154,153,151,146,127,149,151,153,156,158,161,162,164,165,166,166,166,174,141,132,161,163,163,162,160,159,159,157,156,154,153,137,88,151,154,156,159,162,164,165,167,168,168,168,169,182,142,122,161,166,165,164,163,162,161,159,158,156,152,114,61,154,157,159,162,165,167,168,169,171,171,170,174,189,139,120,163,168,167,166,165,164,163,161,160,159,149,93,54,156,159,162,165,168,170,171,172,173,174,173,181,196,137,126,167,171,170,169,167,166,165,164,163,162,147,86,57,159,162,165,168,170,172,173,176,174,165,173,173,174,133,131,169,173,173,172,170,169,168,167,166,165,153,101,68,161,165,168,170,173,175,179,192,178,140,148,139,119,122,117,155,176,175,174,173,172,170,170,169,168,162,119,74,164,166,170,172,175,180,197,205,188,149,115,111,95,104,103,139,177,178,177,176,175,173,173,172,171,168,136,81,166,169,172,174,179,195,210,186,177,164,113,96,92,106,105,140,179,180,179,178,177,177,175,174,173,172,155,102,168,171,174,176,190,211,196,153,148,157,109,88,88,106,107,144,182,183,182,181,180,179,177,176,175,174,167,134,169,172,175,180,205,212,173,136,141,142,92,86,87,102,105,152,185,185,184,183,182,181,180,179,177,176,172,152,171,174,177,183,213,208,160,120,120,116,84,85,85,97,104,162,188,187,186,185,184,183,181,180,179,178,174,154,173,176,179,186,218,211,167,119,89,85,87,80,88,97,107,171,190,189,188,187,186,184,182,181,181,180,178,168,174,177,180,191,224,211,164,115,78,69,86,78,100,99,92,155,188,190,188,184,178,171,166,164,169,178,180,177,175,178,182,196,229,210,163,118,84,69,75,74,100,95,76,111,163,175,167,155,146,137,128,120,121,153,180,180,178,181,183,200,229,208,165,126,94,76,77,85,103,104,97,101,116,127,132,135,133,121,111,109,108,139,179,182,179,183,185,201,227,206,167,131,100,82,88,114,133,134,126,117,108,111,120,122,117,114,131,155,163,172,183,183,181,184,187,203,226,208,173,137,107,89,99,131,140,134,126,118,104,98,106,122,143,161,179,189,189,187,186,185,183,186,189,207,227,211,179,142,116,99,108,130,134,126,114,104,95,103,138,173,188,193,194,193,192,189,187,185,184,187,191,216,229,210,176,140,117,104,109,120,123,115,100,98,122,161,189,197,197,196,195,194,193,191,188,187,185,188,200,227,224,198,163,130,111,103,107,109,110,104,102,138,180,198,201,201,199,198,197,195,194,193,190,189,186,194,220,230,214,186,152,124,108,104,104,99,100,110,147,190,202,202,202,202,200,199,198,196,195,194,192,190,186,203,231,225,200,174,146,124,109,102,97,96,127,168,197,205,205,203,203,202,201,200,199,198,196,194,193,191,189,213,232,216,179,150,135,120,105,94,90,123,181,204,208,207,206,205,204,203,202,201,200,199,198,196,194,192,195,221,231,206,159,130,119,110,96,88,109,172,206,209,209,208,207,206,205,204,203,202,201,200,199,197,195,193,204,227,228,196,144,120,112,102,88,89,145,201,212,212,210,209,208,207,206,205,204,203,202,201,199,198,196,194
21,157,157,157,158,159,159,159,159,158,158,159,156,158,158,156,155,155,154,153,152,151,150,148,146,146,144,141,139,159,160,160,161,162,163,162,162,162,160,168,152,122,161,159,158,158,157,156,155,154,152,151,150,148,147,144,142,162,163,163,164,165,165,164,165,166,164,166,165,112,135,168,162,162,161,159,159,157,155,154,152,154,150,147,146,164,165,166,166,167,167,167,168,168,168,166,167,135,101,169,165,165,164,162,162,160,158,159,143,122,155,150,148,167,167,168,168,169,169,170,170,170,169,169,171,151,85,152,171,166,166,165,165,163,159,164,139,89,151,154,151,170,170,170,171,171,171,172,172,171,171,172,171,165,102,125,177,167,168,166,166,165,161,172,126,94,158,156,152,171,171,173,172,173,174,174,174,173,172,174,175,177,126,104,174,171,170,169,168,166,168,164,109,107,167,156,155,173,174,175,176,176,176,176,176,176,175,177,176,184,139,91,163,176,170,170,171,167,175,158,95,130,168,158,157,176,177,178,178,178,178,177,178,177,178,179,177,188,154,96,145,181,172,172,171,172,174,143,92,154,166,160,159,178,179,180,180,180,181,181,180,180,180,181,177,184,173,118,128,183,173,174,173,175,161,115,103,172,164,164,160,181,181,181,182,182,182,182,181,182,183,182,182,178,177,139,113,179,176,176,177,177,154,85,135,175,166,165,163,182,183,183,182,183,184,183,182,183,183,183,184,163,143,136,103,171,181,177,182,176,136,92,171,171,168,167,164,182,183,184,184,183,183,184,184,184,184,185,182,180,170,154,115,159,189,179,182,163,106,124,182,170,170,168,166,184,185,186,186,185,186,186,186,186,186,189,178,165,189,180,152,120,160,171,160,138,89,160,180,174,171,170,168,186,188,187,188,188,188,187,187,188,188,189,183,145,130,174,155,138,103,129,138,100,100,183,176,176,173,171,170,187,188,188,188,188,189,188,188,189,188,189,184,147,74,80,161,155,89,76,98,77,118,189,176,176,175,173,171,188,188,188,189,189,189,190,190,190,190,192,189,156,123,86,119,143,89,84,76,65,130,191,178,177,176,175,172,189,190,190,190,191,191,190,191,190,192,188,171,172,163,131,86,130,111,93,103,68,140,191,179,180,178,175,174,191,191,191,192,193,193,193,193,193,194,178,177,178,167,153,134,101,123,105,113,63,121,193,180,181,178,177,175,191,192,192,194,194,194,194,195,195,192,178,170,135,143,166,151,120,86,108,96,63,82,190,182,182,179,178,176,191,193,193,193,193,194,194,194,195,192,180,170,133,78,111,149,116,59,81,115,85,54,138,192,180,181,178,175,191,193,193,194,193,194,194,194,195,192,181,166,137,109,66,103,92,66,71,121,111,60,99,192,177,178,180,182,192,193,194,194,195,194,194,195,196,194,176,167,159,122,81,100,121,73,96,138,121,59,116,193,183,185,163,122,191,192,193,194,194,194,194,195,195,194,172,168,168,118,99,122,187,149,134,136,95,55,164,186,156,112,68,49,199,198,199,201,200,199,199,199,200,198,176,172,154,136,97,124,183,173,140,117,84,62,123,87,64,47,48,53,158,162,166,170,173,176,179,182,186,188,173,161,149,130,88,118,167,150,127,107,83,56,50,51,58,40,48,56,99,99,99,99,102,103,103,104,105,101,131,161,152,123,95,117,164,147,116,89,67,51,52,46,56,33,39,58,107,107,106,106,106,109,109,107,110,103,119,165,149,125,106,105,148,134,100,73,52,46,46,40,48,29,34,56
6,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,252,251,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,255,255,255,255,255,255,255,255,255,255,255,255,249,255,255,255,255,255,255,255,255,255,255,255,255,255,255,237,207,247,255,255,255,255,253,255,255,254,255,255,244,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,190,180,198,211,213,215,218,212,211,215,216,217,219,224,255,255,255,255,255,255,255,255,253,255,253,246,242,221,189,176,158,159,208,223,236,243,250,255,255,255,255,255,255,255,255,255,255,253,245,245,248,245,238,235,239,212,176,176,186,179,226,255,255,255,255,255,255,255,255,255,255,255,255,255,251,243,242,242,243,243,244,253,255,247,181,156,170,193,174,199,255,255,255,255,255,255,255,196,255,255,255,255,248,237,230,229,236,244,253,254,251,235,196,178,172,174,187,173,199,255,255,255,255,255,196,165,255,255,255,255,253,241,232,228,231,235,244,255,241,205,197,199,194,182,171,175,179,255,255,255,255,255,174,173,255,255,255,255,254,247,240,234,235,231,230,246,255,214,168,175,206,207,190,160,209,255,255,255,255,181,163,144,255,255,255,255,255,252,244,237,238,238,239,255,249,208,180,164,175,199,208,179,205,255,241,228,183,150,147,129,194,209,231,252,255,255,254,245,241,237,237,251,249,212,189,196,188,173,181,190,182,189,167,157,147,139,126,121,103,109,134,193,255,255,255,250,246,240,233,226,230,214,213,215,204,192,182,160,153,154,166,160,147,136,120,114,100,91,86,90,174,253,233,221,216,212,211,196,192,177,178,205,209,209,191,153,117,132,149,141,137,134,129,116,91,86,86,87,79,144,231,234,241,248,255,255,190,141,146,166,199,190,174,159,122,110,134,133,128,129,135,121,84,79,76,76,71,213,255,255,255,255,255,255,255,214,207,196,192,138,162,157,118,102,109,127,122,120,130,128,80,73,71,58,101,199,185,189,189,191,195,197,204,208,207,205,176,119,154,156,113,95,100,113,115,117,125,128,74,70,68,62,93,172,166,166,167,166,169,171,166,163,186,193,159,107,148,145,108,91,103,105,109,111,118,122,76,73,76,56,97,188,178,179,179,179,174,176,180,187,171,158,146,108,137,135,105,87,95,104,103,105,111,117,83,81,73,47,126,188,177,178,180,181,177,177,178,164,147,131,131,115,126,130,102,90,90,98,98,102,106,112
6,240,242,244,246,247,246,246,247,247,248,249,249,249,249,249,249,249,248,247,244,245,243,243,242,239,238,237,236,243,244,244,247,247,248,248,248,248,250,251,251,250,250,250,250,250,249,249,247,246,246,245,243,242,241,240,240,244,244,246,247,249,250,250,250,250,251,251,250,249,251,253,253,251,251,251,250,249,249,246,246,245,242,242,242,245,247,249,249,250,252,252,251,250,250,251,251,251,252,252,252,251,251,251,250,249,249,248,248,246,245,244,242,249,249,250,250,252,252,252,253,253,252,253,253,253,254,255,255,255,255,254,253,251,250,248,249,247,245,244,242,250,250,251,252,253,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,252,252,251,250,250,249,247,246,250,251,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,251,249,249,248,247,248,251,254,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,253,251,250,250,250,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,253,250,250,247,248,255,255,255,255,255,255,255,255,255,255,255,255,251,233,244,254,255,252,253,253,253,246,248,245,243,249,234,255,255,255,255,255,255,255,255,255,255,255,255,255,248,224,196,233,250,254,254,253,238,242,241,240,240,242,230,241,255,255,255,255,255,255,255,255,249,249,253,253,255,247,181,172,188,200,202,204,206,201,200,204,204,206,208,212,255,255,255,251,249,250,249,246,239,241,238,232,228,209,180,169,152,152,198,211,223,229,236,244,250,250,251,255,255,255,255,249,244,238,231,231,234,231,224,222,225,201,168,168,177,171,214,255,255,255,255,255,255,255,255,255,255,255,255,248,237,229,228,228,230,229,230,239,254,233,172,150,163,183,166,189,255,255,255,255,255,255,247,186,255,255,252,245,234,223,217,216,223,230,238,240,237,222,186,170,164,166,178,166,189,255,255,255,255,255,187,158,255,253,250,250,238,227,219,216,219,222,230,246,228,194,187,189,185,174,164,168,171,255,255,255,255,249,166,166,255,249,248,247,239,233,226,221,222,218,218,232,240,203,161,167,196,196,181,154,198,255,255,255,245,173,156,139,248,245,243,241,240,237,230,224,225,225,226,241,234,198,172,157,168,190,197,171,195,255,227,215,175,145,142,125,185,199,218,238,244,245,239,231,228,224,223,237,234,201,180,187,179,165,173,181,174,180,160,151,142,134,123,118,102,107,130,184,247,245,240,235,232,227,221,214,217,203,202,204,193,183,174,153,148,149,159,154,142,132,117,111,99,91,86,90,166,239,220,209,205,201,200,186,183,169,170,194,199,198,182,147,115,128,144,136,133,130,125,114,91,86,86,87,80,139,219,221,228,234,242,254,181,136,141,159,189,181,166,153,119,109,130,129,124,125,131,119,85,80,77,77,73,202,255,255,255,255,255,255,249,203,196,186,183,134,156,151,115,101,107,123,119,118,127,125,81,74,73,61,100,189,176,180,180,182,186,188,194,197,197,195,169,116,148,150,111,95,99,111,113,114,122,125,75,72,70,64,93,165,159,159,160,159,162,164,159,156,177,183,153,106,143,140,106,91,102,103,107,109,115,119,77,75,77,59,96,179,170,171,171,171,167,168,171,178,163,152,141,107,133,131,104,87,94,103,102,104,109,114,84,82,74,51,123,180,169,170,172,173,169,169,170,157,142,128,127,113,123,127,101,90,90,98,97,101,104,110
4,175,176,178,179,182,182,184,185,186,187,189,190,190,189,190,188,188,188,187,187,186,185,184,184,186,185,184,182,174,176,178,181,182,182,184,186,187,187,190,189,191,189,189,188,189,190,189,187,187,187,187,186,186,185,184,183,176,177,179,182,183,185,186,185,187,188,190,190,191,190,188,193,188,190,191,190,190,189,188,187,186,186,185,185,177,179,181,182,183,185,187,188,189,190,193,190,205,193,172,169,201,190,171,186,192,189,189,187,186,187,186,186,178,181,181,182,185,187,188,189,191,195,181,201,233,187,175,141,217,183,157,137,190,192,194,189,188,187,187,186,179,183,183,183,186,191,189,187,231,227,194,163,232,200,164,164,229,188,162,104,181,168,167,194,188,188,189,188,178,183,185,183,187,191,185,205,250,245,213,135,201,216,150,183,236,186,139,153,196,147,108,164,195,188,190,190,180,184,186,186,188,190,185,228,235,239,194,132,196,217,160,179,211,193,209,194,138,134,100,114,196,191,191,190,183,184,187,191,190,188,195,239,207,231,180,116,178,203,209,202,215,244,245,197,132,100,96,103,196,192,192,191,183,186,187,189,193,186,209,238,195,214,187,102,155,187,195,216,227,230,213,205,164,106,81,111,200,192,193,191,184,186,189,190,192,189,234,231,191,190,202,100,132,183,124,163,198,203,194,213,175,127,77,124,203,191,193,193,185,186,189,192,186,210,244,203,179,166,144,87,133,191,94,143,187,155,201,221,187,144,87,146,203,192,194,194,185,187,190,193,185,231,233,189,159,160,137,112,134,165,99,149,204,103,204,239,204,161,98,173,202,195,195,194,186,189,192,192,192,248,230,186,154,142,128,121,127,126,120,125,161,119,193,252,217,172,106,145,206,196,196,194,187,190,194,189,200,255,227,187,152,133,116,121,133,130,165,166,186,216,207,228,212,166,125,105,200,199,197,197,189,193,196,187,212,255,225,185,146,138,124,127,126,138,186,198,227,221,222,195,185,172,141,103,189,202,197,197,189,191,195,187,225,255,227,177,150,158,138,122,115,161,214,226,225,215,208,178,147,166,132,115,198,198,198,198,188,191,194,186,236,255,222,180,179,179,144,135,177,229,240,226,224,213,186,160,134,135,107,146,206,197,198,197,186,189,193,187,241,255,225,205,210,185,149,197,237,246,247,225,217,198,172,150,127,114,105,186,201,200,199,198,186,190,194,190,247,254,239,221,212,198,159,221,243,247,253,217,194,182,162,145,123,95,143,207,199,200,198,198,188,191,194,191,248,255,247,225,205,201,169,226,249,248,238,206,177,165,154,138,111,104,193,204,201,200,199,199,188,191,197,189,238,255,246,229,205,196,188,229,246,231,216,192,164,155,145,124,96,148,209,199,202,201,201,200,189,192,196,188,225,255,235,225,211,197,194,216,228,212,193,172,160,158,137,106,108,198,204,204,201,201,200,199,190,191,196,189,229,246,222,219,219,204,197,206,217,201,184,162,154,150,127,95,163,212,201,202,202,200,199,198,189,191,196,188,227,236,212,219,220,198,182,202,217,200,176,149,142,140,110,133,207,205,204,203,200,200,200,200,187,190,196,189,218,238,216,218,208,198,176,194,220,195,157,131,133,123,113,191,204,201,203,202,199,198,198,198,136,136,141,127,187,251,226,226,207,200,180,182,215,180,142,126,124,111,110,129,127,126,126,126,124,127,127,121,104,103,108,90,162,255,239,232,216,207,185,171,210,179,141,123,114,104,98,97,94,95,94,93,94,92,98,168
20,71,75,80,91,115,135,144,150,162,170,175,181,186,196,186,199,203,199,200,200,200,200,200,198,198,198,196,193,71,76,81,93,120,141,149,156,169,177,182,188,190,230,156,151,194,206,207,206,205,205,205,204,202,202,202,199,72,78,83,97,124,144,153,162,176,184,191,197,198,249,169,154,158,162,223,211,212,211,210,210,208,207,207,206,74,80,84,102,129,148,155,166,181,190,196,204,204,255,172,160,204,106,214,221,218,217,216,216,214,213,213,210,74,81,84,104,131,151,158,171,186,195,202,209,210,251,169,138,226,99,176,235,222,224,224,221,220,219,218,216,75,80,84,108,134,154,162,173,189,198,205,213,216,252,200,121,218,128,142,242,228,230,229,227,225,225,223,222,76,81,86,112,138,156,164,177,192,202,208,216,217,255,208,115,217,168,121,239,236,236,234,233,232,231,229,227,77,82,87,114,138,158,166,180,195,205,213,221,222,255,193,109,207,177,108,232,244,240,239,237,237,236,234,233,78,82,89,115,141,161,169,182,198,209,217,225,226,255,211,110,209,210,110,222,250,243,244,243,242,241,239,238,78,82,90,117,144,164,170,185,201,212,218,225,229,255,204,107,193,226,120,208,255,246,247,246,246,246,245,241,79,82,92,120,147,165,172,190,205,213,225,224,192,237,151,90,185,220,117,191,255,250,251,251,250,249,244,243,79,82,93,122,149,166,175,192,208,216,234,255,230,225,192,91,161,211,111,173,255,253,252,251,252,255,255,255,79,80,94,125,152,169,177,194,208,213,236,255,255,182,191,164,124,134,96,158,255,252,255,255,255,237,183,105,80,80,95,127,155,171,179,195,222,206,201,210,254,196,113,153,172,115,69,123,255,255,226,168,119,74,39,42,77,80,99,130,156,173,181,194,250,255,222,137,185,249,137,78,147,167,104,82,186,116,60,40,38,53,60,54,75,77,98,130,157,172,182,199,239,240,255,183,112,227,235,97,105,178,172,104,46,35,38,46,45,35,57,51,73,75,97,131,158,172,181,202,227,148,161,205,172,178,238,132,103,163,189,155,78,36,39,28,52,35,39,52,72,75,98,132,160,174,184,203,240,200,133,117,187,172,116,105,96,108,174,173,123,59,45,27,32,46,32,40,67,68,97,133,163,176,187,206,247,211,130,107,118,132,124,147,155,141,174,167,141,85,26,51,24,34,34,35,106,108,115,129,147,157,168,176,228,200,148,141,144,158,180,207,240,244,203,134,128,85,0,42,43,24,32,28,113,115,114,110,114,116,121,109,176,246,200,151,149,186,211,250,255,245,195,129,105,71,0,20,50,36,32,23,115,117,120,123,123,123,127,120,149,253,216,174,152,198,211,255,255,238,188,131,101,69,2,1,39,40,38,28,117,119,120,122,123,125,128,125,131,244,239,208,153,205,209,251,255,216,174,133,101,69,20,0,23,41,38,34,117,118,118,119,120,123,126,129,121,218,248,222,161,204,205,223,247,215,169,131,101,57,36,0,4,38,36,33,116,116,118,119,120,122,123,127,119,171,244,225,178,209,184,192,224,227,171,124,100,40,40,11,0,28,37,26,116,117,118,118,121,122,122,126,127,126,214,239,199,210,177,163,207,214,159,111,91,26,39,30,0,5,38,21,116,117,118,118,119,121,123,123,127,121,152,235,214,200,177,140,170,183,142,113,67,0,33,41,11,0,24,32,114,115,118,118,119,120,122,121,123,127,120,210,226,194,168,145,138,160,140,119,28,0,15,44,25,0,2,29
14,171,171,172,173,173,174,174,174,174,173,173,172,171,170,169,168,167,166,164,164,162,161,160,158,157,155,153,152,172,173,173,174,175,176,176,176,176,175,175,174,173,172,171,170,169,167,166,165,164,163,161,160,159,157,156,155,174,175,175,176,177,178,178,178,178,177,177,176,175,173,172,171,170,169,167,167,165,164,163,162,160,158,157,156,176,177,177,178,179,180,180,180,180,180,178,177,176,175,174,173,172,171,169,168,167,166,164,164,162,160,158,157,177,178,179,180,180,181,182,182,181,180,177,171,162,166,169,173,173,173,172,170,169,167,166,165,164,162,160,159,179,180,181,182,182,183,184,182,176,165,154,139,115,119,130,147,162,169,172,172,171,169,167,166,165,164,161,160,181,181,182,184,184,185,184,177,158,136,114,93,74,78,93,107,125,136,155,172,173,171,169,168,167,165,163,161,182,183,184,184,185,184,182,169,139,102,77,65,61,62,74,86,96,96,124,168,174,172,171,169,168,166,165,163,182,184,185,186,185,180,171,148,109,68,53,52,53,52,57,63,72,70,92,143,171,173,172,171,169,167,166,164,183,185,187,187,184,172,154,120,80,57,48,48,50,50,52,55,61,68,74,104,161,175,174,172,171,169,167,165,185,186,187,188,184,167,139,93,62,55,52,51,51,54,66,68,70,71,70,98,162,176,175,173,172,170,168,167,187,187,188,188,185,170,139,86,57,51,51,54,56,86,135,140,133,99,77,88,138,167,173,174,172,171,169,168,188,189,190,189,186,171,140,90,57,50,50,54,71,134,182,185,182,156,115,90,101,125,158,174,173,172,170,169,188,189,190,190,187,172,140,91,63,57,52,59,116,175,189,189,188,181,149,107,99,101,144,175,174,173,172,171,189,190,190,191,188,175,145,99,72,63,58,80,160,190,192,190,188,174,132,108,99,100,150,177,176,174,173,172,190,191,192,193,188,178,153,112,81,64,58,94,175,193,192,191,184,150,111,102,93,110,166,179,177,175,174,173,191,192,193,192,186,178,157,119,88,65,58,104,181,193,193,190,168,119,97,93,87,130,176,180,179,177,175,174,191,193,194,191,184,178,158,124,92,67,58,86,147,175,188,178,138,103,89,83,90,153,181,181,180,178,176,174,191,193,194,191,184,178,158,125,93,69,61,65,86,111,143,135,107,99,88,84,126,175,182,182,180,179,177,175,192,193,194,190,185,181,160,126,97,72,62,65,73,81,92,90,90,92,87,117,169,184,183,181,180,179,177,175,193,194,195,189,185,183,160,125,98,74,62,66,74,80,84,82,83,85,106,163,186,186,184,182,180,179,178,177,193,194,195,188,185,182,156,122,99,77,62,66,74,80,85,84,77,87,146,185,188,186,185,183,181,180,178,177,194,195,195,187,185,177,152,122,102,80,63,67,76,82,84,81,78,118,177,189,188,187,186,184,182,180,179,177,194,195,194,186,183,172,147,122,103,80,64,69,80,84,83,75,98,167,190,190,189,188,187,185,183,181,179,178,195,195,194,185,179,164,141,118,101,79,63,69,80,81,76,74,133,188,193,192,190,188,187,186,184,182,179,178,195,196,194,184,174,159,138,115,97,78,63,68,76,76,70,99,171,194,193,193,191,189,187,186,184,183,180,178,195,196,193,183,169,156,133,110,92,75,63,65,70,68,83,149,192,195,194,193,192,189,188,186,185,183,181,179,195,195,193,181,166,152,130,106,87,71,61,62,62,68,125,186,197,196,195,193,192,190,188,187,185,183,181,179
24,137,141,145,148,150,152,154,157,158,160,161,164,165,165,167,169,170,171,174,174,175,175,176,176,175,177,177,178,137,141,144,147,150,152,155,157,159,161,162,164,166,167,169,170,171,172,174,174,175,177,177,177,178,179,179,180,138,142,145,148,151,153,155,158,160,162,164,166,168,169,170,172,172,173,175,175,177,177,178,179,179,180,180,180,139,143,145,149,151,153,156,159,161,163,165,167,169,170,172,174,173,173,176,177,179,179,180,181,181,181,181,180,139,143,146,150,152,154,157,159,162,164,166,168,170,171,172,174,175,175,177,179,180,181,180,181,181,181,180,180,140,144,148,151,152,156,158,160,163,165,166,168,170,171,172,174,176,177,179,180,180,181,181,181,181,181,182,181,141,144,154,149,135,156,158,161,164,166,167,169,170,169,173,175,173,167,176,180,181,181,181,181,182,183,182,183,141,143,160,159,121,147,159,162,164,166,167,170,171,154,140,171,171,142,139,176,181,181,181,182,183,183,183,183,142,144,151,162,129,126,160,162,165,166,150,164,183,158,124,153,175,145,108,139,183,183,183,184,184,184,184,181,142,145,149,161,153,126,149,162,174,179,153,144,183,163,131,142,178,151,108,100,177,184,184,186,185,184,172,155,142,146,150,157,174,150,128,157,183,192,163,137,174,169,134,128,175,146,104,83,163,186,184,184,185,176,147,120,142,146,150,153,169,163,134,142,173,199,176,142,149,175,141,113,159,132,96,74,147,187,184,184,177,162,130,105,142,147,150,153,157,169,171,158,162,187,181,143,120,159,142,104,133,122,97,72,115,184,184,171,161,146,113,124,142,147,151,153,155,167,179,174,175,182,171,137,106,133,137,102,111,134,106,73,88,159,166,157,148,121,103,160,143,147,150,153,157,159,175,178,172,177,167,137,119,115,147,118,109,157,116,88,118,137,152,151,123,99,143,185,143,148,151,154,157,158,171,185,167,153,149,147,142,115,152,138,96,148,127,143,160,150,144,130,104,126,182,187,143,148,152,155,157,159,168,184,156,143,140,146,144,126,141,132,103,149,173,174,162,145,127,112,110,175,188,188,144,148,152,155,157,160,167,192,172,151,137,137,145,154,145,142,163,181,178,170,156,138,117,102,146,188,188,188,144,148,152,155,158,162,165,196,188,164,142,134,154,170,178,188,191,183,175,164,149,128,104,114,182,190,189,189,145,149,152,155,158,162,164,194,198,174,158,143,148,168,186,201,192,182,176,161,138,112,96,149,189,189,189,189,145,149,152,155,159,160,162,188,203,182,172,159,150,169,185,198,191,184,175,156,132,103,114,181,189,188,189,189,145,150,153,155,158,160,164,175,199,191,179,170,158,167,183,193,188,179,167,151,130,101,157,190,190,189,189,189,145,149,153,156,157,160,164,168,185,194,184,169,160,166,180,186,181,169,154,140,114,129,186,189,190,190,190,190,144,148,152,155,157,161,165,167,177,194,182,169,160,167,173,176,171,158,140,120,109,172,189,189,190,190,191,192,143,148,151,153,156,160,163,165,172,184,172,167,162,164,169,171,166,153,132,105,137,189,188,188,189,189,189,190,142,146,150,152,155,159,161,164,170,176,169,174,172,172,172,168,159,146,123,101,164,188,187,187,188,188,188,188,141,145,149,151,153,158,160,162,171,187,182,186,179,176,170,163,154,139,114,105,177,186,186,186,187,187,188,188,140,145,149,151,153,158,160,161,172,198,188,186,180,175,164,158,153,132,106,114,183,186,186,186,186,187,188,188
5,138,141,145,148,152,155,157,159,160,162,163,164,165,165,164,164,164,164,164,163,163,162,161,160,159,158,158,157,139,143,147,150,154,156,159,161,162,164,165,166,166,166,166,166,165,165,162,164,164,165,163,162,161,160,159,159,141,145,150,153,157,158,161,163,164,165,167,167,166,168,169,168,168,169,125,151,167,166,165,164,164,163,160,159,143,148,152,155,157,159,162,165,166,167,172,157,131,170,171,170,177,158,105,147,170,169,167,166,166,165,163,161,145,150,154,157,160,161,164,167,169,169,180,146,109,169,173,175,179,125,115,168,172,171,169,169,167,166,165,164,146,151,155,158,162,164,166,169,171,171,189,126,122,176,175,182,155,100,146,175,173,172,171,171,170,169,167,167,148,152,156,160,163,170,146,160,173,179,188,105,143,180,180,176,126,116,173,177,175,174,174,174,173,171,170,170,150,154,158,162,165,177,133,133,175,189,175,101,161,181,178,148,107,154,181,179,178,177,177,176,175,174,173,173,152,156,159,163,167,178,151,115,175,189,144,107,172,176,166,111,122,179,182,181,180,179,179,179,177,177,175,175,153,157,161,165,168,175,168,111,168,176,115,116,178,166,153,101,151,186,184,183,182,182,181,180,179,179,179,178,154,158,163,167,171,174,184,131,147,172,120,118,168,156,138,107,169,187,185,185,185,185,183,181,181,180,181,180,156,160,165,169,172,174,188,157,124,164,125,110,137,141,117,117,183,187,183,174,176,183,185,184,182,182,182,182,157,161,166,169,173,176,186,182,139,128,121,109,117,129,105,127,184,180,177,178,171,166,166,184,185,184,183,182,159,163,168,172,176,179,181,187,171,134,118,118,114,117,100,121,157,168,161,161,171,171,144,162,186,186,185,184,160,164,169,173,176,179,182,184,194,173,135,116,104,102,96,115,129,134,124,119,147,158,157,134,163,187,187,186,160,164,169,173,177,180,184,185,206,204,152,115,100,95,93,108,114,105,130,168,189,184,166,155,137,184,188,188,162,166,171,175,179,181,185,186,200,217,165,116,97,93,93,102,103,126,187,194,194,185,170,139,153,191,190,190,162,167,172,176,179,181,185,187,192,217,166,119,98,92,91,101,96,145,198,196,193,172,150,116,170,193,192,192,163,168,173,177,181,183,187,187,188,208,161,121,101,90,89,104,107,124,167,192,186,165,131,110,174,195,193,193,165,169,173,178,181,184,187,188,187,209,163,124,106,92,90,103,113,127,134,140,164,160,121,128,188,195,195,194,165,169,174,178,181,184,188,189,189,207,163,133,114,95,89,105,120,135,141,126,149,147,121,163,196,197,196,195,165,170,175,179,182,186,189,189,190,201,165,140,117,98,90,112,132,141,144,126,124,132,135,190,197,197,196,196,166,171,176,180,184,187,190,189,189,199,167,141,117,100,91,115,134,139,135,119,112,122,165,200,198,197,196,196,167,172,177,181,185,187,190,190,191,195,163,138,119,104,98,112,127,128,124,114,124,164,196,200,200,199,198,198,168,173,178,182,185,188,190,190,201,197,160,136,122,107,103,112,123,122,117,124,177,200,201,200,200,200,199,199,169,174,178,183,186,187,191,188,208,205,169,140,119,108,104,111,115,114,121,165,201,202,201,200,200,200,200,199,169,174,179,182,186,188,192,190,206,198,166,130,108,107,109,110,114,131,175,200,203,203,202,202,201,201,200,199,170,174,178,182,186,188,192,194,206,196,168,129,106,107,108,109,128,184,205,204,203,203,203,202,202,201,201,200
14,167,166,166,166,167,167,168,168,168,168,169,168,168,168,168,168,169,169,168,168,168,167,167,167,166,166,164,134,169,169,169,169,170,169,170,171,172,171,172,171,170,170,170,171,171,172,170,170,170,169,168,169,168,167,167,120,171,171,171,170,172,172,172,173,172,173,172,172,172,173,172,173,174,173,173,173,173,171,170,170,170,170,169,147,174,173,174,174,175,174,174,175,178,179,170,163,173,172,158,158,172,174,175,176,175,175,174,174,172,172,171,163,177,177,177,178,178,177,177,186,193,165,159,157,161,149,125,140,152,159,163,179,177,179,178,177,175,174,174,171,180,180,179,181,180,186,195,188,168,116,95,111,121,117,90,83,131,125,103,177,180,181,180,179,177,177,177,175,182,182,182,183,180,197,201,142,107,82,51,63,77,83,67,63,90,93,75,160,182,181,176,178,179,179,179,178,184,183,183,185,180,207,196,130,70,54,46,44,50,57,58,53,63,72,87,103,155,156,138,146,180,180,181,181,186,185,186,186,181,212,191,137,81,56,52,50,48,47,53,52,56,86,117,100,90,147,134,137,183,183,183,182,189,187,188,188,183,213,180,120,67,51,52,59,57,49,56,61,64,74,92,74,127,160,110,156,186,186,186,185,189,188,189,189,192,213,181,139,96,62,49,57,51,61,57,81,124,158,144,115,166,155,99,167,188,188,187,187,190,191,191,190,199,216,186,150,114,82,68,53,56,76,71,126,190,192,193,173,178,153,97,161,189,190,189,188,194,194,194,191,206,221,194,156,108,82,71,66,67,69,73,163,194,194,193,168,174,145,100,149,191,191,190,189,194,194,195,192,210,226,200,157,102,76,68,65,77,73,90,192,195,195,186,174,174,141,99,131,193,193,191,191,194,195,196,195,211,227,203,168,120,82,62,62,74,73,118,198,196,196,178,186,176,135,90,156,194,194,194,192,195,196,198,195,209,229,206,172,133,92,63,60,68,64,135,189,195,188,170,186,175,122,107,193,197,196,196,194,198,199,200,194,204,227,208,179,143,98,69,63,60,62,99,122,159,159,168,177,157,105,161,199,198,198,196,196,200,200,200,195,204,226,210,181,151,111,78,51,63,74,95,120,140,147,160,161,133,110,193,200,201,201,199,198,200,200,200,196,204,226,214,185,156,122,90,54,69,81,110,135,147,144,140,134,106,150,201,203,203,202,200,199,201,201,201,195,202,225,215,189,161,128,97,65,70,92,127,147,151,135,120,105,92,189,202,203,203,203,202,202,203,201,201,196,197,223,214,193,164,133,101,79,68,93,130,149,149,130,101,93,116,203,203,202,203,204,204,203,203,202,203,197,194,221,213,196,168,139,106,87,71,87,127,147,142,117,94,94,177,205,205,205,203,204,204,203,205,205,203,196,198,219,212,197,172,146,114,95,83,83,131,144,132,107,86,135,207,207,206,206,205,205,204,203,207,207,206,195,203,221,212,196,177,152,116,101,94,80,128,129,119,98,80,179,209,208,208,207,206,206,206,206,207,208,209,196,209,224,211,197,183,156,119,103,96,82,111,115,111,91,99,205,211,209,208,208,207,206,207,206,208,208,209,196,219,224,214,205,183,156,119,102,93,84,97,104,99,84,155,211,212,211,210,208,208,207,207,206,208,207,206,194,224,225,215,201,175,143,113,97,90,84,91,93,90,112,204,214,211,211,210,209,208,208,208,207,210,208,200,197,220,222,212,188,158,128,104,91,85,87,90,91,91,181,213,213,213,212,212,210,210,209,209,208
7,130,133,136,139,142,144,147,147,150,153,154,155,158,159,160,160,161,161,163,163,163,163,164,164,164,164,162,162,130,135,138,140,143,145,147,149,153,154,155,157,159,159,160,162,162,163,163,164,165,165,165,165,165,165,164,164,134,137,138,141,145,146,148,150,154,154,155,158,159,161,160,161,162,164,165,165,165,165,165,165,165,165,164,164,135,137,140,144,147,148,151,153,154,156,159,157,160,163,162,162,162,164,165,167,166,167,166,166,166,167,166,164,136,138,142,146,148,151,154,155,155,157,160,161,162,162,162,164,164,164,166,168,167,167,167,168,167,167,167,164,137,140,143,147,149,152,154,156,159,161,164,165,164,164,166,166,169,169,168,168,169,170,169,167,170,170,168,166,137,140,144,147,150,153,154,158,160,162,165,165,165,168,170,164,156,158,165,163,160,152,149,178,139,162,174,168,138,142,145,148,150,155,157,160,162,163,166,167,166,162,150,141,137,123,126,134,139,128,122,147,98,151,167,162,143,144,146,149,153,156,156,160,159,157,159,161,167,156,146,147,142,115,124,124,131,127,122,118,108,141,145,114,144,145,149,151,155,157,158,165,138,130,142,153,160,150,143,136,119,116,109,98,102,105,97,95,92,91,92,128,143,146,150,153,155,155,175,162,119,126,134,126,113,100,100,97,87,79,83,97,98,98,103,111,120,133,150,177,145,145,151,155,153,176,184,159,143,121,110,90,73,57,69,102,107,134,169,177,176,175,178,183,183,184,181,176,145,149,153,151,174,191,174,175,162,108,97,102,106,104,97,108,139,184,183,179,180,181,180,178,177,176,179,179,147,151,149,167,191,178,177,171,145,115,105,94,100,107,99,76,58,98,185,179,181,181,181,180,181,180,180,181,148,147,162,185,182,176,168,150,135,123,107,75,66,88,96,92,80,68,179,184,182,183,183,183,182,181,182,182,142,157,186,183,169,156,150,141,132,123,106,77,57,59,63,67,72,77,183,185,184,184,184,184,183,183,183,183,154,184,181,172,161,150,145,143,141,134,114,83,76,80,60,37,40,78,193,185,185,185,184,184,183,184,183,182,183,177,164,163,160,149,148,141,136,131,117,97,88,85,78,70,56,63,166,193,185,185,187,186,185,186,185,182,173,167,163,158,149,146,138,129,133,129,107,87,81,79,82,75,69,30,43,157,194,185,189,188,188,188,186,183,167,164,154,153,149,144,126,128,136,113,85,68,48,34,61,71,69,40,40,124,200,186,188,188,188,188,186,186,163,159,149,146,136,130,139,133,108,86,70,38,27,24,17,64,70,50,106,182,190,188,189,190,189,190,188,188,160,155,145,131,136,139,134,110,87,74,56,33,39,34,35,58,64,155,197,193,190,190,189,190,190,190,190,190,146,142,126,133,138,127,107,89,79,57,61,86,102,113,59,79,165,197,189,191,192,192,192,191,191,190,190,190,119,119,116,116,110,97,87,71,57,80,158,190,194,200,167,174,199,190,193,194,194,193,194,191,190,190,190,190,101,92,86,85,84,72,65,76,124,180,191,186,187,188,195,195,191,194,194,194,194,194,194,192,191,191,190,190,95,75,67,61,47,68,136,173,190,182,183,188,189,190,189,193,195,195,195,195,195,195,194,192,193,192,191,191,93,69,52,47,109,163,187,181,181,183,187,191,190,192,193,194,195,196,196,196,196,196,196,195,196,193,192,193,95,72,48,56,177,180,176,181,185,185,188,192,192,193,195,196,196,198,198,196,196,196,196,196,196,196,195,194
2,180,180,179,180,180,180,179,178,177,176,174,174,174,171,171,169,168,168,167,164,164,164,163,161,160,159,157,155,182,182,182,182,182,182,181,180,180,179,177,176,174,174,173,173,171,170,168,169,167,166,165,163,161,160,159,157,185,185,186,185,185,184,182,182,181,181,179,178,178,178,175,171,164,153,121,138,164,167,168,165,164,161,160,159,187,187,187,187,186,186,185,184,184,183,182,180,175,169,165,154,134,109,75,64,117,135,127,168,166,164,162,160,189,189,188,189,189,188,187,187,186,186,185,180,166,161,154,122,86,63,50,58,89,102,74,154,168,166,165,163,191,191,191,190,190,190,189,189,189,188,185,171,168,148,109,59,45,44,40,41,53,60,49,88,173,169,167,165,193,193,193,192,192,192,191,191,190,189,179,175,154,96,55,39,33,39,38,33,38,45,45,109,176,171,168,167,195,195,195,195,195,195,193,192,192,187,178,170,120,54,46,39,39,36,41,62,62,68,99,167,176,172,171,169,197,197,198,197,196,196,195,194,194,182,179,153,87,47,45,40,40,65,124,173,169,172,179,178,176,174,172,170,200,199,200,199,199,198,197,197,190,180,171,118,56,39,45,40,124,180,188,185,184,183,180,179,178,176,174,172,200,200,200,201,201,200,200,194,179,188,166,103,62,46,44,60,185,190,186,185,185,184,182,181,179,178,176,174,202,201,202,202,201,201,202,178,186,192,155,101,71,51,37,131,194,189,188,188,187,186,183,183,181,180,178,175,203,203,204,204,202,204,195,175,195,182,146,102,67,47,75,192,193,192,192,191,188,187,184,184,182,180,179,178,204,204,205,206,205,205,181,180,202,173,130,89,56,43,110,203,194,194,194,192,189,187,186,186,183,182,180,179,206,205,206,206,206,201,172,194,201,157,122,86,56,41,144,203,195,195,194,192,191,188,187,187,186,184,182,180,208,207,207,207,209,187,181,206,189,139,117,84,52,47,184,201,198,196,195,194,192,191,190,182,169,169,183,180,208,208,208,209,207,177,199,202,167,133,123,81,50,41,145,205,200,197,195,195,197,182,148,126,116,107,134,182,208,208,209,211,193,186,205,186,149,143,119,75,45,48,62,115,193,201,200,194,159,110,103,113,110,92,106,181,210,210,210,210,184,195,197,174,146,140,108,65,42,51,63,62,113,198,168,126,97,92,113,110,86,124,179,185,211,211,213,200,187,194,189,165,144,131,91,54,47,64,69,69,69,88,85,93,102,101,95,75,139,189,189,185,214,213,212,190,193,191,180,154,137,115,80,50,65,77,76,75,74,66,82,91,90,78,70,138,194,191,188,187,214,215,202,194,195,189,171,148,125,105,75,56,76,78,76,75,71,64,71,71,84,134,175,196,194,193,190,189,215,208,196,198,196,186,167,133,108,101,70,64,76,75,72,67,60,49,65,131,185,204,198,194,194,194,192,190,215,196,195,186,190,180,151,117,100,87,60,67,73,73,66,52,67,111,174,205,203,201,199,198,196,195,193,191,202,189,179,183,178,162,127,92,78,64,60,62,64,58,45,89,184,210,207,204,203,201,201,199,196,194,193,192,192,185,170,175,164,150,113,80,72,61,55,45,48,67,134,204,210,208,205,204,203,202,201,200,198,195,194,193,192,178,170,177,170,154,99,77,68,56,78,127,165,199,215,211,209,208,206,204,203,202,201,200,199,196,195,193,188,175,169,176,167,144,86,73,62,84,193,219,217,212,209,209,208,206,206,205,203,201,201,200,198,196,195,192
19,174,177,179,179,180,183,184,182,183,185,184,184,184,184,182,180,185,183,178,178,178,177,177,177,175,175,175,174,177,178,181,181,182,184,185,185,186,186,186,186,186,184,185,176,140,163,186,179,180,180,180,179,177,176,176,175,178,179,182,184,185,185,187,187,187,187,187,188,189,184,200,173,115,98,189,183,183,181,181,180,179,178,177,177,180,181,183,186,187,188,189,190,190,188,188,190,188,190,210,174,134,81,178,186,185,184,183,184,179,178,179,180,181,184,187,188,189,189,190,191,191,190,191,192,189,197,207,168,128,75,177,190,186,186,183,181,184,181,180,181,182,185,187,188,190,193,194,192,191,191,191,193,188,203,201,144,107,67,174,185,181,176,181,206,166,179,184,183,184,186,188,190,191,194,194,193,194,194,193,193,188,200,196,153,145,161,190,176,188,183,196,242,124,170,186,183,186,187,191,194,193,194,194,194,194,195,192,197,200,199,189,186,196,214,205,182,180,182,155,129,130,187,185,185,187,189,193,195,196,197,196,195,192,201,211,223,226,213,191,166,159,151,146,123,112,111,121,147,187,187,185,186,191,192,193,195,197,197,200,203,203,219,224,221,209,194,186,183,171,96,96,130,158,173,192,198,189,190,188,187,193,194,195,197,197,204,224,214,211,205,208,207,204,204,200,199,187,95,138,210,198,197,192,191,191,190,190,188,195,195,196,199,195,216,234,218,209,207,215,218,220,210,200,192,158,84,108,207,191,194,194,192,192,192,191,189,195,196,199,202,198,215,228,204,198,211,220,222,209,198,200,203,183,89,72,195,196,195,193,192,192,193,192,190,195,197,200,202,200,217,216,197,200,203,196,195,202,213,201,204,195,98,52,156,205,193,195,195,193,193,193,192,198,200,201,204,203,223,199,201,203,191,178,207,211,199,191,190,160,93,50,125,210,196,197,196,194,193,193,193,200,201,202,204,205,215,210,215,212,214,219,219,204,194,185,170,136,82,50,101,212,198,199,198,197,195,195,194,200,202,204,207,207,207,235,223,213,213,215,202,186,177,191,205,195,109,37,135,213,198,200,199,197,196,195,195,202,203,206,208,210,204,231,229,205,199,179,142,173,216,212,197,195,116,69,200,205,202,201,201,199,199,198,196,203,206,209,208,212,206,210,221,203,197,185,194,221,210,184,169,160,100,63,191,207,203,203,202,202,201,200,198,202,206,209,210,211,210,206,216,228,219,209,213,205,185,171,155,131,74,73,203,205,203,204,204,204,202,200,199,205,208,209,212,213,212,208,212,227,211,192,196,186,169,143,103,68,78,180,211,205,206,205,205,204,204,203,201,207,210,211,211,215,216,204,212,214,202,180,174,148,121,88,57,38,166,223,206,207,205,205,207,204,204,203,202,207,210,212,214,215,217,205,209,210,193,168,153,132,101,73,58,101,220,207,210,209,208,208,208,205,204,203,203,207,210,213,216,216,217,206,198,205,188,159,146,144,101,73,61,117,225,209,211,211,211,211,210,209,206,205,203,207,210,213,216,216,220,206,192,194,186,154,134,105,82,75,67,75,213,214,212,211,211,211,210,210,207,206,204,207,210,212,214,215,219,204,191,182,184,171,147,108,86,78,67,73,208,214,211,211,209,209,209,208,205,202,202,208,210,212,214,215,220,195,194,190,178,163,149,112,87,78,65,83,215,212,212,211,209,209,208,208,206,204,202,208,210,213,215,215,222,189,205,212,196,159,126,98,78,75,57,133,223,210,212,211,210,210,210,209,207,204,203
5,200,202,206,211,210,209,211,212,212,212,215,213,214,214,215,213,220,204,214,212,210,210,207,207,205,203,202,201,203,206,210,212,212,212,215,209,234,220,172,222,216,216,218,213,252,160,204,218,215,212,209,209,208,206,204,203,205,208,212,214,214,217,218,213,230,255,147,215,221,218,216,225,255,142,198,223,216,215,213,211,210,209,208,208,209,210,213,217,216,215,221,218,224,255,159,203,227,222,214,255,237,137,218,221,218,218,217,215,213,212,211,209,211,214,216,217,222,246,181,218,226,255,188,193,233,222,225,255,192,151,233,220,222,221,219,219,218,215,213,211,214,217,218,221,216,255,176,190,231,255,221,184,235,217,254,255,163,184,233,223,226,222,220,221,220,218,216,215,217,218,220,225,215,255,216,164,239,255,213,175,234,228,255,223,140,214,231,227,227,225,223,223,221,218,218,218,219,221,224,227,219,255,255,168,233,255,198,161,235,238,238,155,158,239,228,229,228,228,226,225,224,220,219,219,220,223,226,228,222,241,255,195,213,255,224,166,229,229,217,128,204,239,231,231,230,228,228,227,226,225,223,222,222,224,226,229,228,234,255,233,177,255,224,178,190,203,202,144,229,237,233,233,234,230,229,228,227,228,226,224,224,226,227,230,232,231,255,255,197,232,216,195,139,173,175,161,238,236,236,236,235,234,232,232,230,228,226,224,226,227,230,233,235,232,255,255,255,210,180,196,132,141,145,187,245,238,239,233,233,231,230,229,229,229,230,229,227,229,233,234,235,236,237,255,255,255,170,163,142,134,122,203,245,233,241,250,255,255,255,249,233,231,215,218,229,233,234,236,237,240,235,255,255,255,233,149,132,133,124,155,211,228,221,197,210,230,211,215,232,214,154,192,232,234,235,237,238,241,242,240,255,255,249,169,134,131,126,137,162,192,163,123,153,169,168,188,198,196,154,224,233,236,238,239,241,243,245,240,255,255,246,170,135,125,124,138,132,123,136,203,245,240,245,241,239,208,170,236,235,236,239,241,243,245,247,242,255,255,248,176,140,123,128,126,123,194,241,253,244,247,236,236,220,166,224,240,235,238,241,243,244,247,248,244,255,255,249,184,144,127,121,97,218,255,248,246,250,236,218,239,167,193,251,234,236,241,244,245,244,247,248,246,255,255,241,182,143,125,115,113,179,217,248,249,227,218,224,214,137,217,247,240,238,241,245,247,246,246,248,252,255,255,231,181,138,114,112,128,122,143,171,187,196,218,219,163,173,246,247,234,239,242,244,245,247,249,246,255,255,255,228,175,133,109,111,117,131,159,160,173,203,194,164,196,249,252,198,139,236,241,244,245,247,250,245,255,255,255,218,165,138,113,118,126,154,178,170,167,176,150,208,253,249,231,130,129,239,242,245,247,248,250,247,255,255,255,201,172,150,116,127,152,171,177,175,147,139,222,255,242,255,205,123,127,241,243,246,249,251,251,251,255,255,245,198,187,157,118,129,161,174,174,160,150,234,255,246,255,213,121,109,94,241,244,248,252,254,250,255,255,255,243,208,190,157,119,127,160,162,161,138,230,255,251,255,245,145,107,103,83,242,246,247,250,251,248,255,255,255,253,220,182,145,111,117,144,147,127,199,255,253,255,208,139,115,102,84,70,247,248,251,253,255,255,255,255,255,253,198,136,105,81,89,103,122,190,255,255,255,192,126,117,107,97,85,67,224,228,233,236,209,233,255,255,255,219,141,84,71,58,68,49,147,255,255,255,184,111,113,105,93,90,93,78
0,152,153,154,154,154,156,157,157,157,158,156,157,157,156,156,155,157,161,157,157,157,157,157,157,155,155,156,156,154,154,155,156,155,156,157,157,158,159,158,157,158,159,159,165,144,126,155,162,156,162,159,159,159,157,158,158,155,157,156,157,157,157,157,158,159,160,159,160,152,129,147,179,130,99,94,122,112,124,161,141,131,161,158,161,155,157,157,157,159,159,158,159,159,160,164,183,154,118,98,160,137,127,79,55,103,88,108,129,80,166,158,161,157,157,158,159,161,160,161,160,162,140,161,193,151,135,98,162,151,133,91,68,121,101,75,124,78,161,163,162,158,157,159,160,161,162,157,170,181,121,105,180,163,145,99,157,173,139,95,80,135,100,58,108,72,147,168,162,157,158,160,161,162,162,158,186,180,139,108,154,185,145,97,144,182,143,90,83,141,94,44,98,72,97,176,159,159,159,160,162,163,159,176,170,173,153,122,118,190,143,92,124,187,138,83,61,120,85,35,87,92,45,156,167,159,160,161,163,161,167,177,144,180,163,127,91,179,145,91,90,174,122,71,38,92,74,30,90,103,38,129,175,161,162,163,163,161,177,160,120,165,166,128,78,157,142,87,60,141,110,71,37,72,61,30,105,111,48,128,175,161,162,163,163,163,178,162,131,145,151,115,63,121,129,83,39,113,105,72,34,75,56,54,135,125,56,130,177,159,160,162,160,171,168,146,113,112,137,104,57,94,123,78,22,90,107,60,32,93,56,99,151,125,56,135,176,159,159,161,158,172,184,157,121,81,127,102,46,83,122,79,17,89,118,61,104,134,85,102,151,125,59,147,174,158,161,163,160,170,187,162,129,77,78,107,59,73,134,90,25,82,126,124,150,138,115,82,120,122,59,152,172,160,162,163,160,174,189,169,142,108,65,87,84,69,139,109,98,141,150,147,136,123,105,89,72,85,48,151,173,162,162,164,160,173,191,176,150,124,109,97,102,122,135,149,167,167,159,144,133,114,91,82,65,55,42,148,174,161,163,164,161,173,188,180,159,140,130,120,110,124,146,159,165,166,163,146,129,110,86,71,62,50,46,161,172,159,162,164,162,170,182,181,168,155,144,128,120,119,140,154,162,160,156,142,122,107,84,66,58,42,111,177,170,160,163,165,161,161,181,180,180,166,150,131,123,122,139,157,166,156,148,137,119,102,79,62,41,97,175,169,170,151,152,157,158,151,175,182,186,167,151,135,123,123,142,162,163,153,143,133,116,94,73,48,69,173,173,173,173,76,77,80,86,76,157,182,179,164,153,139,125,119,142,158,150,137,128,119,104,83,67,43,120,163,159,164,162,60,61,61,64,44,124,181,161,157,156,145,130,116,138,152,140,123,106,95,84,72,58,57,71,76,74,71,84,67,67,68,70,54,110,177,149,156,158,146,130,116,133,150,134,111,84,72,65,55,60,67,59,55,72,118,158,66,64,64,68,56,101,176,143,157,157,143,132,119,129,144,127,93,63,57,51,65,67,66,82,128,176,186,172,66,64,64,68,59,96,186,156,158,153,137,129,120,117,127,116,75,54,50,57,65,81,145,183,197,184,172,160,63,63,65,67,57,90,189,167,163,151,135,131,126,108,118,109,66,52,49,56,103,178,201,196,191,182,188,179,66,64,65,68,59,87,178,170,168,149,136,133,127,101,113,104,62,44,42,122,186,189,192,192,176,176,187,192,67,65,66,68,58,88,169,169,165,143,132,132,129,98,105,99,61,28,95,191,172,190,186,177,172,177,184,190
24,125,131,139,149,157,163,167,171,176,179,182,184,186,187,187,187,186,185,184,183,182,179,178,178,176,174,171,169,127,132,142,153,161,166,171,175,179,183,186,188,190,192,192,192,191,190,189,188,187,185,184,182,180,178,175,174,130,135,144,156,164,169,174,178,183,187,190,193,195,195,195,195,195,195,194,194,192,190,189,187,186,184,181,179,132,137,147,158,166,172,177,181,185,190,194,196,197,197,199,199,199,199,198,197,196,194,193,192,191,189,186,183,134,138,149,161,169,175,180,184,188,192,196,199,201,201,202,202,202,201,201,200,200,199,197,197,196,194,191,189,136,142,157,164,172,178,182,187,191,195,199,202,203,203,204,205,205,204,203,203,203,202,201,201,200,199,196,193,137,154,162,138,174,180,184,189,193,197,201,203,205,206,206,208,208,207,206,206,205,205,206,205,204,202,200,197,138,163,152,107,171,182,186,191,196,200,203,205,206,208,209,208,209,209,208,209,208,208,208,208,206,204,202,201,140,169,149,100,168,184,189,193,198,201,204,207,209,211,213,189,168,200,210,209,209,209,206,201,206,208,205,203,142,172,140,95,166,186,190,192,193,203,206,204,177,189,225,188,132,140,208,212,204,187,167,138,158,210,208,207,143,168,136,94,165,188,198,183,155,180,215,209,145,121,169,192,150,113,184,198,191,158,120,105,174,213,197,173,145,168,147,97,158,189,212,209,179,163,200,210,157,122,118,189,165,120,143,170,190,133,103,160,178,138,86,62,147,170,161,108,145,191,210,229,220,185,155,205,180,148,116,173,164,113,106,179,165,101,84,94,69,50,49,42,150,165,180,148,154,186,205,206,227,203,152,160,198,159,111,128,139,99,127,190,130,79,51,46,52,55,51,48,150,158,191,178,173,190,203,175,190,203,150,112,191,176,116,77,87,102,166,172,101,55,44,41,40,53,52,45,152,157,184,197,194,208,211,189,169,179,143,96,165,182,120,65,75,143,174,142,78,38,38,47,37,43,52,50,153,160,178,217,201,188,191,175,151,158,147,110,120,145,103,91,117,152,148,110,56,44,29,40,43,37,44,53,153,162,175,216,202,171,176,163,134,136,152,133,107,112,149,169,162,160,123,83,28,44,39,30,39,37,40,47,151,160,171,205,207,157,143,149,138,139,157,166,148,165,218,209,183,167,108,66,15,31,48,35,31,37,36,39,120,124,127,165,208,169,132,141,168,152,189,215,203,221,232,208,181,158,99,63,22,18,43,47,36,35,31,35,108,110,108,134,212,194,149,130,161,164,201,222,229,238,226,197,172,145,89,53,33,11,31,48,43,39,31,28,111,112,112,122,201,206,170,140,141,168,192,226,235,231,212,185,162,136,83,37,41,10,20,43,44,43,36,26,113,114,115,116,184,213,189,156,141,162,180,223,233,221,200,175,153,133,84,27,43,18,10,34,44,42,38,33,111,113,115,113,163,214,201,170,153,161,171,213,226,210,191,170,144,125,81,27,41,28,6,22,42,39,37,35,110,112,113,112,137,205,204,182,163,165,164,199,216,201,188,168,132,113,73,26,37,38,11,11,36,40,33,33,110,111,112,112,118,182,202,191,173,171,161,178,203,195,188,160,120,103,57,13,32,42,22,6,24,40,29,29,110,111,111,112,112,142,199,198,182,174,162,159,183,184,176,148,112,95,45,2,19,43,32,11,12,34,31,23,109,110,110,111,112,116,175,200,186,174,159,145,156,169,156,133,108,85,34,1,7,39,37,20,6,23,35,20
18,85,90,95,101,109,115,122,129,133,134,136,138,143,146,149,151,156,157,159,159,160,161,163,164,165,166,168,171,88,92,95,101,109,117,123,129,133,136,138,138,144,142,146,153,154,154,159,162,162,162,164,165,165,167,169,171,89,93,96,103,110,118,125,128,133,136,134,152,163,122,108,139,167,145,120,153,165,164,165,166,167,169,170,172,88,93,98,105,113,118,123,135,166,128,114,175,158,135,121,161,182,139,102,89,152,168,167,167,170,172,172,174,89,94,98,106,112,119,118,180,184,133,118,186,148,151,156,167,150,129,122,89,96,170,167,168,170,172,174,175,90,95,97,104,127,141,116,188,178,144,136,161,146,144,145,146,119,133,130,116,80,145,171,171,172,174,175,176,91,95,99,104,193,161,123,120,190,153,144,107,136,118,119,110,110,146,139,131,103,94,171,173,173,174,176,178,92,96,94,138,212,178,150,114,165,173,138,92,139,128,90,60,131,155,153,148,127,86,117,177,175,176,178,180,92,96,92,169,184,188,174,131,111,173,139,99,107,158,116,55,97,149,158,166,137,107,80,141,180,177,177,179,92,96,94,171,137,179,167,128,82,129,131,96,73,123,103,58,82,156,181,173,141,113,94,90,177,176,178,179,92,96,101,184,132,141,129,95,71,80,96,80,50,73,63,127,182,176,167,161,137,116,98,86,173,181,180,181,92,94,108,199,163,154,123,79,61,60,77,68,31,46,139,198,186,172,157,137,122,107,93,104,181,180,181,182,93,92,127,198,159,140,124,85,54,52,82,64,30,122,207,203,186,165,145,118,101,95,83,137,183,182,182,183,93,90,140,218,179,156,134,100,69,67,75,68,111,198,207,202,181,154,134,111,94,86,84,169,181,182,183,184,93,91,133,227,194,178,161,134,117,117,109,127,186,207,206,191,167,142,121,103,88,78,109,183,181,183,184,185,94,94,128,229,203,183,161,141,135,137,136,173,204,203,196,174,153,131,113,98,87,76,146,183,182,184,186,186,95,95,124,227,206,184,164,152,150,148,158,187,198,195,176,158,142,122,106,96,86,84,173,181,184,185,186,186,94,96,113,218,207,189,173,165,161,161,171,184,187,182,155,141,127,113,99,92,78,114,182,181,183,186,186,186,94,99,102,198,210,199,188,176,165,162,166,173,167,164,144,128,116,105,95,90,77,159,182,181,181,185,186,187,94,99,101,167,214,208,204,188,166,153,143,150,148,146,136,116,104,97,91,77,108,181,182,182,183,186,187,188,95,99,105,130,210,203,200,190,165,144,133,133,138,140,131,111,99,94,88,70,149,182,181,182,184,185,187,188,95,101,108,111,181,193,178,172,158,139,129,129,131,137,133,115,101,94,78,88,176,179,182,184,186,186,188,189,94,100,109,113,140,192,170,155,143,127,130,133,119,130,130,112,96,91,69,118,181,180,183,184,186,187,188,189,93,99,111,119,123,175,154,143,141,133,148,144,118,122,128,113,95,88,67,135,183,181,183,186,186,188,188,189,92,100,111,119,120,157,159,152,155,144,144,144,120,112,122,112,98,86,62,122,186,181,183,185,186,188,188,189,89,99,110,117,121,142,178,166,161,145,136,140,122,106,114,108,96,88,66,98,183,180,182,184,185,187,188,188,90,99,109,117,124,132,194,181,167,148,134,136,127,106,101,105,97,88,73,74,177,180,182,184,185,186,188,188,90,99,107,117,125,129,193,190,168,147,130,132,130,103,98,104,95,86,77,67,165,181,183,184,185,187,187,188
23,162,164,166,170,172,175,178,179,180,181,183,184,185,185,186,187,186,187,185,184,186,185,184,184,184,184,182,180,162,165,167,170,173,176,178,180,182,182,184,186,185,187,187,187,187,188,187,187,187,185,185,185,185,185,184,182,163,165,168,170,173,177,178,181,182,183,185,187,187,189,190,188,188,188,188,188,188,187,187,186,186,185,185,184,165,166,169,173,175,178,180,181,183,184,187,186,186,186,183,190,191,189,190,190,190,189,188,188,186,186,186,185,166,166,171,174,177,179,181,184,184,183,184,192,202,199,168,148,182,192,192,191,190,190,189,188,187,186,187,186,165,167,172,175,177,180,182,184,183,190,209,206,203,193,178,167,167,148,192,192,191,191,190,190,189,188,187,187,167,168,171,175,177,180,182,186,183,204,204,169,171,144,148,162,142,148,193,192,192,192,192,191,190,189,188,189,167,169,172,176,179,182,184,187,186,203,187,160,115,150,191,186,182,195,194,193,192,192,192,191,191,191,190,188,167,170,173,177,180,183,186,188,186,206,189,175,107,167,202,198,199,195,196,195,195,195,192,192,192,192,191,189,169,170,174,178,182,183,186,188,187,208,192,176,127,177,199,156,190,197,196,196,195,195,194,194,193,192,192,191,169,172,175,177,182,184,186,190,188,212,199,204,215,216,204,118,155,207,195,196,196,196,196,195,194,193,193,192,170,173,176,178,182,185,187,187,192,217,223,225,209,200,163,120,142,208,200,198,198,198,197,196,196,195,194,194,170,173,178,180,183,186,187,199,210,217,220,214,206,196,123,145,168,140,186,199,201,199,199,199,197,196,196,195,171,173,177,181,184,184,212,220,213,217,221,215,203,175,115,137,166,109,112,135,167,204,199,199,198,198,197,196,172,174,178,183,185,188,221,207,201,207,206,194,197,155,110,108,139,121,113,123,120,194,203,200,200,200,198,196,172,175,179,184,184,193,218,203,211,220,215,208,191,148,118,103,109,124,121,130,126,188,205,201,201,200,199,199,171,175,179,184,185,185,226,225,224,217,199,183,164,133,124,115,85,104,123,128,130,191,206,202,202,201,200,199,172,175,179,184,187,185,228,223,202,171,144,136,126,129,133,107,70,101,126,133,135,197,206,203,203,202,201,201,174,176,180,184,187,184,218,205,182,147,128,96,107,142,132,94,94,111,126,134,134,199,206,204,203,204,203,202,173,177,181,185,188,183,208,205,174,133,113,89,125,118,96,94,111,121,122,132,141,206,205,205,205,205,203,202,174,177,181,186,191,180,206,204,166,140,124,104,88,80,97,109,121,128,126,129,180,211,206,206,206,206,204,203,174,177,182,185,191,179,204,204,173,148,127,122,98,94,120,131,136,139,127,156,213,207,208,208,207,206,204,204,173,177,183,185,193,176,202,208,178,152,133,131,117,107,132,140,141,140,129,177,216,209,209,208,208,208,207,205,174,177,183,186,193,178,196,206,175,155,138,133,123,111,132,139,140,136,134,197,212,209,210,209,208,208,207,207,175,178,183,187,193,181,193,203,172,156,139,134,126,118,131,136,141,131,159,215,210,210,210,211,210,208,207,207,174,178,184,187,193,187,191,198,172,154,139,131,129,126,133,138,134,148,204,214,212,211,211,211,210,209,208,207,175,179,184,188,193,188,192,193,164,147,135,132,133,131,131,135,150,206,215,213,213,213,212,212,211,210,209,208,175,178,184,187,193,188,194,197,162,145,135,134,133,134,134,131,190,216,211,213,213,213,213,212,211,210,209,208
15,82,81,82,84,85,86,90,100,112,121,130,139,146,149,151,154,158,163,168,172,176,179,180,182,185,187,188,191,81,81,83,84,84,86,90,101,111,122,131,139,146,150,151,155,159,164,169,173,176,179,181,184,186,188,190,192,81,82,82,84,85,86,91,102,113,123,132,141,148,151,151,154,159,165,170,173,177,180,182,185,188,190,192,194,81,81,82,83,85,86,91,102,114,124,133,141,148,152,152,154,161,167,171,174,178,181,184,187,189,191,193,195,81,81,83,83,86,86,92,104,116,125,134,143,148,152,153,156,161,167,171,175,179,181,184,187,190,192,193,195,82,82,81,100,110,97,97,105,116,126,135,143,149,152,153,158,163,168,173,176,180,183,185,188,191,193,194,196,82,81,87,164,147,126,122,117,115,121,132,139,139,140,146,156,163,169,174,178,180,184,186,189,192,193,195,197,82,82,91,155,135,118,117,112,105,119,120,122,118,120,122,128,139,154,167,176,181,184,187,189,192,193,195,198,82,83,83,107,104,92,95,88,90,109,104,104,103,120,123,120,121,125,133,140,147,165,186,191,192,194,196,199,83,81,82,84,85,84,86,84,88,93,90,88,94,118,118,115,117,123,131,122,108,108,142,190,193,195,198,200,81,82,82,84,84,86,93,104,112,115,117,115,109,110,104,101,102,127,139,129,114,110,94,145,195,196,198,201,81,82,82,83,84,85,93,106,117,129,138,146,147,130,102,100,129,143,144,134,118,125,105,90,160,199,199,201,82,82,83,83,84,86,94,107,118,129,145,158,147,128,113,134,167,136,141,126,144,135,122,100,96,178,202,202,81,81,82,82,84,84,94,107,116,148,178,151,122,111,102,112,152,112,112,151,155,134,150,123,85,112,197,204,80,80,80,80,82,83,93,106,114,173,177,122,107,113,111,96,108,82,108,177,129,132,157,138,100,74,147,203,80,79,79,80,81,82,93,106,113,164,153,106,112,127,133,123,102,82,114,143,99,126,157,144,110,78,85,156,79,78,78,79,81,82,94,106,114,157,145,96,118,135,145,131,100,93,102,108,112,128,136,127,103,79,71,83,78,77,78,80,80,82,93,106,113,163,181,125,118,134,139,121,92,92,100,106,116,123,111,91,84,76,71,73,77,77,77,79,79,81,92,106,114,165,167,178,145,112,99,87,83,94,99,103,112,122,106,78,74,73,73,77,76,77,76,78,78,80,90,105,117,187,168,172,166,130,92,54,55,80,99,108,118,124,102,78,74,74,76,78,73,74,74,75,75,78,90,103,115,149,159,172,162,149,118,71,33,40,67,112,116,110,90,78,79,80,78,77,79,78,77,77,77,80,91,103,115,125,135,147,140,140,125,110,57,44,63,109,124,110,94,90,90,88,83,78,125,121,118,114,116,117,119,122,124,128,132,134,121,118,137,156,92,53,72,81,118,128,117,105,96,89,81,78,111,109,109,110,112,111,110,110,104,104,106,110,111,109,122,166,102,86,89,80,93,102,101,94,86,80,76,74,113,112,112,113,113,112,113,114,110,109,112,113,114,114,112,125,107,114,115,110,110,99,86,81,77,73,70,70,117,115,114,115,116,115,115,116,116,116,118,117,117,118,118,116,118,117,118,121,132,125,105,88,80,76,72,71,119,119,116,116,118,117,117,118,118,118,118,118,118,118,118,118,119,118,117,118,129,136,127,101,94,100,92,78,119,118,116,116,118,119,119,119,119,120,120,119,118,118,118,118,118,119,118,118,115,138,163,124,125,129,114,98
21,119,121,128,134,140,145,148,151,156,158,163,164,167,170,172,172,174,175,175,175,177,177,177,176,177,178,178,178,121,124,131,137,143,147,150,153,158,162,164,167,170,173,175,174,178,178,179,179,179,179,179,180,181,181,180,180,122,126,133,139,144,150,153,157,160,164,166,169,172,176,179,159,139,181,181,182,181,183,186,184,184,185,184,184,124,128,135,141,147,152,156,159,162,165,169,172,176,178,186,166,92,174,185,184,185,172,160,188,187,187,187,187,127,130,138,145,149,154,158,161,164,167,171,175,179,179,188,173,98,154,190,187,189,174,108,167,193,190,189,188,129,132,139,147,152,156,159,163,167,171,174,177,181,183,190,177,108,130,194,188,191,180,114,137,197,192,191,190,130,135,142,149,154,158,162,166,169,173,176,180,183,186,188,182,125,116,193,191,193,181,121,118,198,193,192,192,132,137,144,151,156,159,164,167,171,175,179,183,185,187,188,196,152,110,185,194,194,184,129,109,197,196,195,195,134,138,146,153,159,162,166,169,173,176,180,184,187,189,189,202,162,112,167,198,195,191,147,106,196,198,198,197,135,140,148,155,160,164,167,171,175,178,182,185,187,190,192,208,169,121,144,202,197,193,156,103,190,200,200,201,135,141,150,156,161,164,169,173,176,180,184,187,188,189,185,211,191,146,133,203,199,193,162,103,184,203,201,202,136,143,151,157,162,166,170,173,178,181,185,188,191,186,171,175,208,170,131,198,201,204,179,112,181,204,202,202,137,143,152,158,163,168,172,176,179,184,187,189,202,217,203,170,161,153,124,191,204,204,183,113,179,206,203,202,138,145,154,159,165,170,174,177,181,184,187,191,196,191,201,190,154,109,96,167,199,191,176,112,176,208,204,204,139,145,154,160,166,171,173,177,182,186,189,193,193,174,154,141,161,131,121,120,138,160,160,110,171,212,206,207,141,148,156,161,167,172,176,179,183,187,191,193,200,205,181,131,125,165,173,160,122,103,135,103,163,213,207,207,142,150,157,163,168,172,177,181,184,188,192,196,187,176,190,148,83,121,178,178,135,82,97,89,162,214,209,208,143,151,158,163,168,172,176,181,184,189,193,197,184,117,146,160,98,59,115,165,151,113,75,72,152,215,209,210,143,152,160,165,169,173,177,181,185,190,194,197,184,153,130,149,128,93,41,125,174,144,93,64,126,218,211,211,142,150,158,165,169,173,178,182,185,190,194,197,201,182,125,102,128,111,56,86,177,170,125,81,100,216,212,212,141,150,157,163,167,172,178,181,186,190,193,196,208,180,146,118,88,81,88,124,178,189,147,110,89,203,214,213,144,151,158,164,169,172,177,183,186,190,194,195,212,202,175,118,93,103,130,194,197,178,145,115,86,197,214,213,144,152,159,165,170,174,179,183,186,191,195,196,211,204,161,115,115,129,158,219,200,167,127,101,83,198,215,213,144,152,159,164,170,175,180,183,186,191,194,196,207,202,157,141,130,123,175,221,191,157,119,90,84,201,215,214,144,152,160,165,170,175,179,183,187,191,193,196,202,198,174,147,126,123,181,218,185,150,113,89,87,205,215,215,145,153,160,167,172,177,181,185,190,194,197,199,200,194,177,138,134,133,176,208,181,148,107,85,92,207,214,215,118,122,128,135,138,144,150,157,163,169,174,177,183,190,178,140,158,139,162,194,163,132,99,81,101,215,215,216,90,92,91,91,92,94,95,98,100,101,103,103,111,177,179,153,162,145,149,185,144,113,91,82,93,149,155,160
4,121,124,126,127,130,131,133,137,139,141,145,144,144,147,147,147,149,150,147,149,149,150,151,150,148,148,148,148,124,127,129,131,133,135,136,139,140,141,146,146,147,147,147,156,144,143,152,150,150,151,152,151,151,150,150,150,127,130,132,134,137,137,139,142,143,144,144,152,141,159,196,185,125,80,142,155,154,156,153,154,153,153,152,152,130,132,134,137,139,140,142,146,150,152,177,176,120,96,149,167,113,65,70,102,100,142,159,155,156,155,154,153,132,135,138,139,143,143,150,146,121,177,197,180,129,72,50,142,109,62,43,88,69,76,164,156,158,158,157,155,135,137,140,143,144,145,191,176,119,125,128,180,133,88,34,93,131,89,45,105,105,66,158,159,159,159,158,159,138,140,143,146,142,174,181,173,170,142,84,135,158,109,14,96,163,117,81,96,117,90,148,166,161,161,160,161,141,144,146,146,151,193,163,122,127,104,53,72,163,101,22,136,158,110,74,66,83,79,107,172,162,163,163,163,142,146,150,150,153,198,185,147,128,121,111,63,107,78,48,100,123,95,79,80,75,71,84,147,171,163,163,163,145,148,150,153,151,184,183,166,142,120,111,83,73,93,86,96,121,103,103,85,58,93,96,94,174,166,167,165,146,151,152,156,154,179,182,158,131,105,86,76,82,102,105,120,131,122,113,88,91,129,123,81,133,177,167,168,148,153,154,159,156,186,187,160,136,104,84,76,86,96,112,129,144,148,166,181,167,151,133,113,84,166,171,170,151,154,157,161,158,187,195,167,141,108,85,82,88,100,122,156,148,175,185,176,166,147,118,94,59,127,182,170,152,157,159,162,159,183,199,171,151,123,91,82,84,102,140,156,150,174,171,163,150,131,108,85,63,84,180,174,153,159,160,165,163,184,202,177,160,133,103,87,89,104,147,160,168,176,178,163,142,125,106,82,67,72,174,177,155,161,163,167,165,185,204,182,167,140,114,99,99,101,140,166,178,179,175,165,140,119,96,78,59,90,186,177,157,162,164,167,166,182,203,189,175,147,121,116,112,105,136,169,180,179,176,165,135,108,85,75,54,141,190,179,159,163,166,170,169,178,199,194,185,156,134,127,122,112,144,165,178,180,177,159,128,99,82,67,68,181,184,183,161,164,168,170,170,175,193,197,191,167,145,136,128,117,150,165,169,180,169,145,118,95,83,54,108,195,182,185,163,167,170,172,176,172,187,197,191,171,154,143,132,123,143,171,169,169,153,129,108,90,80,54,159,193,185,186,167,171,170,174,178,177,176,192,185,172,156,146,136,122,120,161,165,151,135,113,98,88,69,79,194,186,188,188,168,171,174,176,178,181,170,187,188,176,155,146,139,122,107,147,164,149,127,104,86,90,55,138,198,186,189,189,171,173,176,178,180,186,171,188,195,178,156,146,142,126,108,138,155,140,117,93,83,59,97,196,189,191,190,189,173,175,177,180,182,187,174,191,194,171,148,142,142,122,105,131,142,127,98,85,58,90,189,193,191,191,189,192,174,177,180,183,184,186,179,194,190,162,144,147,144,129,108,121,125,113,85,68,72,185,196,190,193,198,202,191,174,178,181,182,184,189,173,191,196,165,156,159,151,140,113,109,108,104,81,51,146,201,189,199,200,172,120,78,177,180,183,184,186,192,176,191,202,170,167,176,153,143,112,97,98,101,68,68,187,191,202,166,91,48,34,32,179,181,183,185,187,195,142,187,206,186,186,184,155,143,111,94,98,103,57,98,201,198,147,58,42,25,27,22
12,184,189,193,194,198,200,201,202,203,205,205,205,208,210,210,209,209,209,210,210,209,210,208,207,206,206,206,204,187,190,193,194,198,201,202,204,204,205,205,208,209,210,210,211,211,210,210,210,210,209,209,208,208,207,207,205,188,191,194,197,198,201,202,204,206,207,209,209,210,210,207,210,213,213,210,211,210,210,210,209,209,207,208,208,188,191,195,197,200,202,203,206,207,209,208,211,208,206,232,209,185,202,215,212,212,210,211,211,210,210,210,208,189,193,196,199,201,202,205,207,209,206,222,247,226,185,227,237,178,154,214,211,213,214,211,211,212,209,209,209,190,194,197,200,201,204,207,209,211,206,249,255,244,202,164,224,208,145,194,231,194,194,214,212,212,210,210,209,191,194,197,200,203,205,208,209,212,206,247,253,255,227,200,166,199,176,170,241,189,148,191,217,211,211,211,210,192,195,198,202,203,206,208,210,210,205,242,220,207,234,202,134,179,194,134,180,194,138,151,219,213,212,211,212,192,196,200,202,204,206,209,205,219,241,201,181,194,212,198,176,195,163,115,140,171,137,137,215,215,212,211,212,193,197,200,203,205,208,205,219,255,239,184,141,170,221,222,222,205,172,150,198,156,132,139,216,215,213,212,214,193,198,201,203,205,208,204,255,255,225,192,145,116,195,210,203,217,227,213,204,150,123,149,223,215,215,215,215,194,197,201,204,207,204,228,251,235,240,201,153,97,130,159,188,215,248,235,198,145,108,175,224,215,216,216,215,195,198,202,204,208,202,252,241,228,243,208,167,109,110,111,135,208,232,240,216,184,133,200,223,216,216,216,215,195,199,202,206,203,228,253,229,212,250,229,186,116,117,118,168,233,224,217,193,195,162,170,225,216,217,217,216,193,197,202,205,200,254,255,229,187,207,247,198,135,110,189,244,235,219,211,178,174,162,152,221,217,217,218,217,194,199,201,202,201,255,255,229,187,165,209,238,167,179,255,233,226,214,202,175,157,141,168,224,218,217,217,216,195,199,203,204,209,255,255,229,213,211,175,184,194,255,255,235,221,214,190,171,147,132,191,225,219,218,217,217,195,200,204,203,211,255,255,237,236,227,197,195,250,255,255,241,210,199,178,169,142,137,211,222,220,220,218,217,195,200,204,203,210,255,255,250,242,229,210,206,252,255,250,231,202,182,174,163,136,155,224,220,220,219,218,218,195,199,201,205,207,255,255,255,241,225,212,206,245,255,237,215,188,176,176,152,129,191,227,220,221,221,219,216,193,197,200,206,200,242,255,249,238,228,218,214,236,241,221,198,182,180,174,139,148,222,221,220,220,218,217,216,195,200,203,208,205,228,255,238,229,225,218,214,229,236,213,192,179,175,160,134,200,229,223,224,223,222,222,221,172,174,175,177,171,203,254,223,222,222,212,199,218,235,211,183,168,163,146,139,175,175,173,173,172,172,171,172,136,135,134,137,125,168,255,217,221,224,211,196,209,229,195,162,154,151,139,131,127,127,126,125,125,125,124,125,145,144,143,146,136,171,255,223,231,229,212,198,203,224,182,155,147,142,138,138,136,137,135,134,134,133,133,133,144,143,144,147,137,171,255,236,245,237,218,199,194,219,181,157,140,136,138,139,138,136,134,134,134,133,133,133,145,143,144,147,138,165,255,245,252,236,217,194,186,213,182,155,138,134,137,138,138,136,136,135,135,135,134,131,144,145,145,146,141,154,253,247,247,225,210,196,182,202,178,149,137,134,138,138,136,136,135,135,136,134,131,139
0,159,157,158,158,159,159,158,159,159,159,162,162,159,160,160,160,161,159,160,161,159,159,159,160,160,158,158,158,159,159,160,159,160,161,161,161,161,161,162,162,163,161,159,159,160,158,161,161,159,161,161,161,161,160,160,159,159,160,161,160,160,162,162,160,163,164,161,162,165,163,160,161,161,160,161,161,160,161,161,161,161,160,159,159,161,162,162,162,163,163,161,161,155,148,162,160,159,163,162,157,158,166,165,164,165,161,159,162,162,161,160,160,162,161,162,163,163,163,160,171,155,97,88,134,131,116,140,148,130,117,154,153,152,165,165,161,162,162,161,161,162,162,162,163,163,164,162,166,161,92,27,102,137,78,66,139,124,63,64,116,90,87,125,166,162,161,161,161,163,163,163,163,160,162,158,134,155,107,52,78,125,71,41,116,101,54,42,109,85,42,51,113,169,161,162,162,164,163,164,164,160,157,148,114,128,137,80,46,104,71,33,103,96,41,47,114,80,37,62,81,120,174,160,163,164,164,165,165,162,157,147,121,94,114,83,29,91,68,19,93,113,46,46,121,94,42,73,111,65,140,170,160,165,165,165,165,164,157,143,118,87,74,58,41,86,55,11,102,108,35,61,130,112,91,86,92,65,74,176,161,165,166,166,166,163,156,148,136,110,71,58,54,63,47,25,84,82,70,125,126,116,104,81,60,47,70,172,162,166,167,167,168,164,160,153,145,132,99,60,51,45,62,71,73,104,136,139,132,118,93,79,64,37,92,176,162,167,167,167,169,165,162,158,148,142,128,85,53,54,68,73,106,143,146,145,138,120,88,71,62,34,117,178,163,168,167,168,169,165,161,166,155,151,144,113,81,81,70,87,130,145,153,157,140,114,86,67,57,41,153,173,165,167,169,168,169,166,151,170,165,161,155,136,114,108,89,94,130,140,154,161,140,107,81,67,44,78,177,167,167,169,169,169,169,170,145,161,171,169,160,145,132,123,113,104,124,145,156,151,134,98,74,68,43,134,175,168,168,169,170,169,169,175,147,148,171,173,164,153,141,131,122,116,114,136,154,143,125,90,72,58,59,169,169,169,169,170,170,169,170,173,160,131,164,173,172,159,149,140,130,116,110,122,139,130,108,83,71,43,90,181,167,168,170,170,170,170,170,171,174,131,147,172,174,159,144,140,130,116,109,116,127,118,90,73,65,37,143,175,168,171,169,170,170,171,172,169,175,152,133,173,170,148,137,139,125,121,110,101,110,107,79,68,40,86,177,170,168,171,170,170,171,172,173,170,173,163,143,170,170,152,147,151,132,123,106,91,93,99,78,53,51,159,173,171,171,172,172,171,171,172,173,172,174,167,148,172,175,160,152,160,137,120,106,88,82,89,77,39,122,179,171,173,173,174,173,171,171,173,173,172,174,169,139,170,175,167,156,156,134,117,103,90,79,86,67,47,160,175,173,174,173,173,173,171,170,171,171,172,175,169,135,169,173,167,154,147,132,115,103,93,76,82,58,64,172,169,175,174,174,174,174,170,169,169,170,172,174,166,148,167,174,167,155,144,132,118,102,94,77,75,50,80,185,169,174,174,174,174,174,171,170,169,171,171,173,159,159,168,164,163,151,142,130,118,101,92,74,70,47,96,185,170,173,173,174,174,174,172,172,171,172,172,173,157,156,164,161,162,144,135,127,118,101,87,68,65,44,116,176,169,172,172,173,173,173,172,171,170,172,174,174,154,151,161,165,162,142,126,121,115,101,84,63,59,42,139,174,171,173,173,173,173,173
15,82,81,82,84,85,86,90,100,112,121,130,139,146,149,151,154,158,163,168,172,176,179,180,182,185,187,188,191,81,81,83,84,84,86,90,101,111,122,131,139,146,150,151,155,159,164,169,173,176,179,181,184,186,188,190,193,81,82,82,84,85,86,91,102,113,123,132,141,148,151,151,154,159,165,170,173,177,180,182,185,188,190,192,194,81,81,82,83,85,86,91,102,114,124,133,141,148,152,152,154,161,167,171,174,178,181,184,187,189,191,193,195,81,81,83,83,86,86,92,104,116,125,134,143,148,152,153,156,161,167,171,175,179,181,184,187,190,192,193,195,82,82,81,100,110,97,96,105,116,126,135,143,149,152,153,158,163,168,173,176,180,183,185,188,191,193,194,196,82,81,87,165,147,127,122,118,115,121,132,139,139,140,146,156,164,169,174,178,180,184,186,189,192,193,195,197,82,82,91,156,135,118,117,113,105,119,120,122,117,120,121,128,139,154,167,176,181,184,187,189,192,193,195,198,82,83,83,107,104,92,95,88,90,109,104,104,102,121,123,120,121,125,133,139,147,166,187,191,192,194,196,199,83,81,82,84,84,84,86,83,87,93,90,88,93,118,118,115,117,123,131,121,108,107,141,191,193,195,198,200,81,82,82,84,84,86,93,104,113,115,117,115,108,110,104,101,102,127,140,129,114,110,93,145,196,196,198,201,81,82,82,83,84,85,93,106,117,129,138,146,148,130,102,100,129,143,144,134,117,126,105,89,161,199,199,201,82,82,83,83,84,86,94,107,118,128,145,158,147,128,113,135,168,136,141,125,144,136,122,100,94,179,202,202,81,81,82,82,84,84,94,107,116,148,178,152,122,111,102,112,153,112,112,152,155,134,150,123,85,112,198,204,80,80,80,80,82,83,93,106,114,174,177,121,106,113,111,95,108,81,108,178,128,132,158,138,100,73,147,204,80,79,79,80,81,82,93,107,113,164,153,106,111,128,133,123,102,82,114,143,99,126,157,144,110,78,84,157,79,78,78,79,81,82,94,107,114,158,145,95,118,135,145,131,100,93,102,108,112,129,136,127,104,79,71,82,78,77,78,80,80,82,93,106,113,163,182,124,117,134,139,121,92,92,100,106,117,123,111,91,84,75,71,73,77,77,77,79,79,81,92,106,114,165,166,179,145,111,98,87,83,94,99,103,112,122,107,78,74,73,73,77,76,77,76,78,78,80,90,105,116,188,168,172,166,130,92,53,55,81,99,108,118,124,102,77,74,74,76,78,73,74,74,75,75,78,90,103,114,149,160,172,162,150,118,71,32,40,67,113,116,111,90,78,79,80,78,77,79,78,76,76,76,80,91,103,115,124,135,147,140,140,125,110,57,43,63,109,124,110,94,90,90,89,83,78,125,121,118,115,116,118,119,122,125,128,133,134,121,118,138,157,92,53,72,81,119,128,118,105,96,89,81,78,110,109,109,110,112,111,110,109,104,103,106,110,111,109,121,168,101,86,89,80,92,102,101,94,86,80,76,74,113,112,112,113,113,112,113,114,110,109,112,113,114,115,112,125,106,114,115,110,110,99,86,81,77,73,70,70,117,115,114,115,116,115,115,116,116,116,118,117,117,118,118,116,118,117,118,121,132,125,105,87,80,76,71,71,119,119,116,116,118,117,117,118,118,118,118,118,118,117,118,118,119,118,117,117,129,136,127,101,94,101,92,77,119,118,116,116,118,119,119,119,119,120,120,119,118,118,118,118,118,119,118,118,114,138,164,124,126,130,115,98
5,146,147,149,150,153,153,153,153,154,153,153,153,153,150,152,151,151,149,148,147,145,144,143,142,141,140,140,138,148,150,151,152,154,155,154,156,155,155,154,153,157,154,153,152,152,152,150,149,147,146,146,144,143,142,140,140,149,152,154,155,156,157,156,156,158,157,156,166,123,147,157,154,154,155,153,151,149,148,148,147,145,144,142,141,153,153,155,156,158,159,159,163,161,158,162,176,92,121,164,155,156,155,153,152,151,150,149,149,147,146,146,143,155,155,156,158,157,166,160,127,167,158,170,172,77,123,165,157,158,156,155,154,153,152,152,150,149,148,145,144,156,157,158,162,157,182,144,84,166,159,174,144,68,148,165,160,160,159,156,157,157,154,154,152,152,150,148,145,157,159,162,160,164,189,103,91,171,163,163,122,78,166,163,163,161,157,169,132,141,160,155,155,154,152,150,148,159,160,164,161,178,164,63,142,175,157,142,102,91,170,166,162,159,173,163,85,118,167,157,157,154,153,151,151,160,161,165,160,195,158,66,166,173,143,127,73,119,178,149,149,156,138,84,91,156,162,161,159,157,155,153,152,163,164,165,165,208,145,70,168,167,136,114,63,154,129,134,159,106,64,110,160,165,162,162,161,158,156,155,153,164,166,167,173,206,110,70,183,144,140,120,76,99,92,120,102,67,127,177,165,164,163,162,161,160,157,156,154,164,168,170,171,197,170,74,142,130,129,100,64,67,83,58,81,142,173,167,167,165,163,162,163,161,160,157,155,168,171,174,171,192,192,108,75,95,100,71,56,83,69,80,171,175,168,168,169,166,165,164,164,163,162,159,156,170,172,175,174,184,191,155,103,86,89,64,53,83,71,152,182,171,171,169,169,168,166,166,164,164,163,160,158,172,174,176,177,178,213,192,139,86,72,72,69,65,140,176,154,159,175,176,174,172,169,168,166,165,164,161,160,174,176,178,179,180,213,191,131,80,64,61,73,75,117,117,127,134,139,151,158,165,174,170,167,167,165,163,161,176,177,180,181,187,211,180,123,68,57,55,73,79,89,126,132,164,156,154,158,159,118,159,173,168,166,165,162,178,179,182,178,198,210,189,133,75,51,51,72,83,79,99,72,112,138,133,150,147,99,143,179,168,168,166,164,179,181,183,181,210,204,186,125,81,54,50,63,63,56,80,84,146,148,128,148,178,125,117,181,169,169,166,165,180,184,181,195,209,195,181,121,80,50,42,54,45,131,188,181,191,185,176,184,142,84,168,177,173,171,168,165,182,184,182,210,201,197,178,122,72,48,46,64,72,85,159,198,177,145,148,161,70,123,190,174,175,173,171,169,183,183,190,215,197,194,169,101,65,44,60,68,79,86,91,135,142,156,148,113,38,160,185,178,176,173,172,170,186,179,214,211,191,192,152,88,65,53,82,99,109,105,86,99,137,147,127,59,74,182,182,180,178,176,174,173,185,83,118,201,204,176,134,89,65,69,95,109,111,97,91,93,126,104,66,107,181,185,183,183,179,177,175,172,102,48,43,79,164,166,127,97,66,76,104,100,93,75,88,75,57,78,153,195,187,185,185,183,179,177,176,174,58,52,50,42,48,90,109,75,51,62,88,85,76,66,57,44,100,186,197,188,187,186,185,183,181,179,177,176,62,48,43,46,42,36,25,18,24,32,47,59,52,40,106,172,201,194,189,191,191,189,186,184,182,179,177,177,50,42,41,40,35,42,13,0,11,10,14,18,34,129,206,200,194,193,193,193,191,190,187,184,183,181,178,178
1,140,144,146,148,152,157,159,159,160,161,163,164,165,168,167,168,168,168,173,170,171,171,171,171,170,169,170,171,144,147,150,152,155,159,161,163,164,165,166,166,168,167,171,171,178,174,151,175,174,173,172,171,171,171,172,172,148,151,153,155,159,162,165,167,168,170,171,171,171,183,155,162,196,178,114,174,178,177,174,175,174,174,173,174,152,155,157,160,163,165,168,171,172,173,175,173,178,203,132,148,200,163,116,176,160,169,181,178,178,177,176,177,155,158,160,164,167,170,172,175,176,177,178,176,189,199,124,157,200,151,120,187,154,131,187,181,181,180,179,178,158,161,165,168,171,173,177,179,179,179,187,168,177,193,124,163,202,143,128,199,156,121,188,183,183,183,182,181,162,165,168,171,175,178,181,184,185,184,205,155,146,177,130,169,207,150,141,203,149,121,190,187,187,186,185,184,165,170,171,175,179,182,185,188,188,190,211,141,145,166,139,169,197,145,144,207,150,122,194,191,190,189,189,187,169,172,175,178,183,184,189,190,192,195,201,131,149,151,130,151,192,137,154,212,154,128,199,194,194,193,192,190,172,175,178,181,186,188,190,195,195,199,206,140,151,157,130,152,206,142,169,206,150,134,204,199,198,195,195,194,174,177,181,184,189,191,193,198,197,203,205,138,143,172,141,152,206,141,179,211,150,139,207,201,201,200,199,198,177,180,184,188,192,194,197,200,199,209,214,153,135,162,127,144,185,127,191,212,154,149,212,202,203,204,203,202,179,183,186,190,195,197,199,203,202,210,222,156,124,147,127,150,166,147,198,198,146,159,215,205,207,206,204,203,182,186,188,192,197,200,201,205,204,211,219,161,151,185,174,183,188,176,165,187,140,168,217,207,210,209,207,207,183,187,191,195,198,201,205,208,206,218,228,188,161,160,198,211,219,185,130,157,128,176,219,211,211,211,210,209,185,188,193,196,199,202,206,210,208,226,217,172,148,118,142,168,186,205,166,110,107,191,220,213,213,213,212,210,187,191,195,199,202,204,208,212,210,231,212,170,137,126,131,143,184,227,203,134,101,208,220,216,215,214,214,213,189,193,197,201,204,207,210,214,212,235,218,169,143,146,150,182,199,221,225,167,111,206,224,218,218,216,216,217,191,195,198,202,205,209,213,214,216,236,214,167,142,152,157,212,222,206,206,171,115,186,229,219,220,218,218,218,193,197,200,204,208,211,213,215,218,235,214,175,150,162,175,232,230,204,172,145,109,186,230,220,221,220,220,218,194,198,202,206,210,212,215,217,218,232,216,178,163,157,189,239,225,190,160,126,106,202,229,222,223,223,222,221,196,200,203,206,211,213,216,219,220,228,213,179,169,156,189,236,211,177,150,114,132,229,225,225,225,223,223,224,197,201,204,207,211,213,217,221,221,223,212,186,180,160,180,225,196,165,136,104,171,237,224,226,226,225,225,225,199,201,206,209,212,216,218,220,222,220,209,190,186,164,177,218,185,155,125,108,206,233,227,228,228,227,226,226,200,202,207,210,214,216,219,221,223,224,215,192,186,156,170,205,174,146,113,127,231,229,229,229,229,229,229,228,199,203,208,212,215,216,219,223,221,226,220,193,179,145,162,179,151,137,105,165,240,231,232,230,230,229,230,229,198,202,207,210,214,216,218,222,217,229,222,210,178,149,164,166,144,123,121,220,234,232,232,230,231,231,230,229,199,202,206,209,214,219,220,219,217,230,223,212,184,159,165,155,139,107,180,238,230,232,232,230,231,231,230,229
12,177,178,178,178,178,179,179,179,180,180,180,180,180,180,180,179,179,180,180,180,180,180,179,179,177,176,176,175,180,180,180,181,180,180,181,181,181,182,182,182,182,182,182,181,181,181,182,182,181,182,181,180,179,179,178,176,181,181,181,182,182,183,184,182,184,183,184,186,185,183,184,183,182,183,184,184,183,183,182,182,181,179,179,178,183,183,184,185,183,185,185,184,186,186,188,187,185,187,187,185,184,184,184,185,185,184,183,183,181,181,181,180,184,185,186,187,186,186,187,187,186,185,180,186,192,178,181,189,186,187,186,187,186,187,186,185,184,184,184,182,186,187,188,188,187,188,189,186,199,202,170,141,197,185,143,165,194,189,192,187,188,188,188,187,187,186,186,185,189,189,189,189,190,189,192,187,223,225,196,129,158,218,163,128,190,172,172,192,190,189,191,189,188,187,187,187,188,188,190,192,191,191,191,191,221,229,209,153,123,211,187,144,124,160,124,156,199,190,192,190,190,190,189,188,190,192,193,194,193,194,192,196,220,212,217,178,119,174,197,155,99,122,128,100,193,194,192,192,192,191,190,190,192,193,194,194,194,192,198,187,204,192,206,198,156,116,162,135,83,74,109,94,184,197,194,194,194,193,192,191,193,194,195,196,190,205,223,159,136,156,171,171,125,87,107,110,88,156,117,95,193,196,196,196,194,194,194,194,193,195,197,194,213,233,204,149,119,139,119,147,140,116,148,177,177,166,102,106,202,197,198,198,196,195,194,195,194,196,195,204,227,206,198,164,129,93,96,100,141,154,170,208,220,191,121,126,212,197,200,199,198,198,197,195,195,198,194,221,206,184,206,180,136,93,97,99,88,97,132,206,222,222,181,129,170,207,199,200,198,198,198,197,196,195,203,220,200,167,203,182,160,108,91,106,111,117,168,200,202,192,177,161,115,190,204,200,200,199,199,199,197,195,211,228,202,163,150,203,192,129,91,110,128,181,212,199,198,164,153,169,113,170,210,200,201,201,200,200,200,198,206,232,218,191,144,157,182,187,120,110,201,215,201,196,186,160,134,131,106,193,205,201,202,201,200,200,199,197,206,234,227,200,169,158,146,154,143,194,232,212,199,190,172,151,123,96,128,212,203,204,203,202,201,201,200,198,205,227,228,214,185,178,164,131,183,229,221,217,185,172,153,145,113,86,171,211,204,205,203,203,203,202,200,201,202,221,226,225,205,188,174,162,170,221,216,206,174,149,145,139,100,108,207,206,205,205,204,204,203,203,199,200,194,211,232,228,211,194,177,174,168,215,208,185,162,133,150,131,85,151,216,205,205,205,205,205,205,205,197,200,196,191,229,218,201,192,181,178,175,195,193,162,144,141,147,114,89,194,210,206,205,205,205,205,205,205,199,200,201,189,222,206,191,185,184,178,174,180,177,162,141,141,134,91,129,214,205,206,205,205,205,205,203,203,201,200,201,196,219,207,197,198,192,179,169,178,184,165,130,122,109,96,193,210,206,205,206,206,205,205,204,202,201,200,201,196,219,213,204,204,192,187,166,180,187,142,113,110,89,164,215,206,208,207,206,206,206,205,205,204,200,201,203,195,220,218,209,211,194,196,163,175,173,131,111,91,126,216,207,208,207,207,207,208,206,206,206,205,199,200,203,193,212,227,214,216,199,195,160,161,163,134,105,87,188,214,207,208,207,208,208,208,207,206,206,206,197,198,202,194,209,229,210,206,197,189,155,149,162,130,90,111,213,207,208,208,208,209,208,207,206,206,207,207
22,46,50,57,67,76,84,90,93,97,103,106,110,113,115,119,121,121,123,123,122,123,123,121,120,120,120,119,118,47,51,58,69,79,87,92,95,100,105,109,113,116,119,121,123,123,125,126,126,126,126,125,124,124,123,123,121,48,53,58,70,80,89,94,98,102,108,113,117,119,120,123,126,126,127,129,129,128,129,128,128,127,126,126,125,49,53,60,72,82,92,98,99,103,110,116,116,123,124,126,128,129,130,130,133,136,133,132,131,129,132,130,128,49,54,62,74,84,95,100,101,107,112,116,142,98,117,131,130,132,133,137,125,114,138,135,133,133,114,129,131,50,53,62,76,86,96,101,104,109,112,127,171,74,100,137,131,135,135,156,112,59,140,135,146,133,57,104,139,50,53,63,77,88,97,101,105,112,114,131,178,86,93,142,133,137,142,157,89,59,148,139,157,124,51,121,140,51,54,64,78,90,99,103,106,114,117,128,183,107,88,144,138,138,154,157,66,93,152,158,149,80,72,147,137,51,55,65,79,91,101,105,108,117,120,130,188,128,81,143,141,141,150,136,53,119,156,169,137,64,120,148,140,52,55,67,81,92,102,106,110,118,123,129,182,132,74,135,143,147,158,116,43,143,168,142,98,76,150,144,143,53,56,67,82,94,103,109,112,119,127,128,177,154,86,122,147,157,176,100,47,185,182,133,58,114,154,145,146,52,56,68,82,94,105,110,114,121,129,127,172,168,104,111,154,155,164,50,87,204,172,111,62,151,148,150,148,53,56,69,83,95,107,111,114,122,130,130,153,162,92,67,137,143,150,119,168,176,146,65,91,164,150,151,150,55,57,70,84,96,109,112,115,123,130,133,134,161,89,94,146,153,160,181,175,156,100,44,142,158,153,152,151,54,58,71,86,98,109,113,118,122,136,153,102,147,117,121,174,149,168,167,168,132,56,89,169,155,156,153,153,53,57,71,87,99,110,114,118,120,158,162,128,110,116,98,127,148,167,162,142,104,50,130,167,157,158,155,156,54,58,72,87,99,111,115,121,125,154,153,156,145,141,95,37,97,141,138,102,89,48,146,166,161,160,157,156,54,58,74,87,100,112,116,121,124,147,161,133,142,128,88,67,41,52,81,79,67,49,162,166,163,161,160,158,54,59,74,88,103,112,117,122,124,154,153,129,110,100,114,100,74,44,38,33,59,45,160,167,163,162,161,161,54,58,74,90,102,112,118,123,126,149,193,160,105,96,110,120,98,75,69,39,25,36,153,169,164,163,163,162,54,59,74,89,103,113,118,122,129,142,204,150,130,127,155,166,117,92,82,34,14,26,157,169,166,164,163,163,54,59,75,90,104,114,118,122,131,138,201,162,139,165,192,182,135,101,78,32,10,40,170,167,167,166,164,164,54,58,75,90,104,116,118,122,133,136,192,174,141,162,192,157,134,89,70,38,4,65,181,166,168,166,165,165,52,59,75,91,104,114,118,124,134,134,179,187,159,153,193,141,135,115,69,39,3,75,184,167,170,168,165,165,50,57,75,91,105,114,118,124,133,135,162,190,168,138,184,151,129,120,71,32,2,94,183,169,170,169,166,165,48,56,75,91,104,114,116,124,133,141,158,184,171,124,159,145,113,98,53,23,10,134,179,168,170,167,166,165,47,55,74,90,103,114,117,124,135,129,98,161,161,106,109,108,81,61,33,21,36,169,173,170,171,168,167,167,45,53,73,89,103,114,117,123,142,62,0,120,144,86,98,104,87,57,41,15,67,184,170,171,170,169,167,168
8,136,137,138,138,139,139,139,140,140,139,138,139,139,137,136,136,135,134,133,133,133,131,130,129,128,126,125,124,137,138,139,139,139,140,141,142,141,142,141,139,140,138,137,137,136,135,134,133,133,133,132,131,129,127,126,125,139,139,140,141,141,145,144,143,142,143,143,141,141,141,139,139,138,137,137,135,133,133,133,131,131,129,126,126,139,140,141,145,133,105,143,145,144,144,144,143,142,142,141,140,139,139,138,137,136,135,134,133,132,130,127,126,140,142,141,146,120,68,127,149,144,145,144,144,144,143,143,142,140,140,139,138,137,137,136,135,133,132,130,127,142,143,144,144,101,65,127,152,146,146,146,145,144,144,143,144,144,144,141,140,141,137,137,135,133,133,132,130,143,144,146,143,92,64,141,150,148,148,149,147,146,145,145,143,139,130,141,140,130,139,137,136,135,134,133,132,144,145,147,138,81,67,150,149,150,151,142,149,150,148,149,149,117,85,82,129,96,128,141,136,135,134,133,132,145,145,147,143,87,64,146,152,151,129,95,97,146,126,106,117,119,99,61,91,89,107,147,137,137,136,135,133,146,147,149,145,95,60,141,155,140,119,108,80,98,111,83,65,111,111,80,57,88,83,146,139,139,138,136,134,146,148,149,142,93,55,121,160,133,130,121,97,79,112,90,71,110,109,81,49,75,64,108,147,138,138,137,135,146,149,150,145,119,82,94,161,128,131,131,104,72,104,105,76,100,95,65,44,63,81,63,128,143,138,137,136,147,149,150,150,139,101,79,142,121,117,135,108,71,90,114,74,78,96,77,43,56,85,54,110,147,138,137,137,147,150,150,152,141,102,99,113,109,97,131,105,76,69,106,77,65,115,98,54,68,88,56,130,145,138,138,138,149,150,151,153,150,133,128,105,109,89,112,109,71,56,97,86,52,106,96,49,83,83,66,145,143,141,139,138,149,150,152,152,155,146,126,101,85,84,101,106,76,55,69,69,31,41,52,61,96,71,83,152,142,142,140,138,149,150,153,153,156,147,110,90,73,65,78,112,103,71,45,42,71,77,75,110,104,59,104,153,143,143,140,139,149,151,154,153,155,144,123,106,83,74,72,112,114,81,60,80,118,120,109,103,96,50,122,152,143,143,141,140,150,151,154,155,155,153,137,112,83,72,70,101,102,78,66,109,123,120,111,81,71,53,143,147,144,143,142,142,150,153,155,156,155,151,140,114,91,80,72,89,118,115,118,135,125,112,101,75,45,97,156,144,144,143,142,142,152,154,156,155,155,149,142,121,102,85,76,90,139,144,146,139,119,103,94,61,53,147,150,147,145,144,144,143,152,154,156,156,156,147,137,122,103,83,82,99,143,138,134,127,108,94,85,45,105,158,147,148,146,144,144,143,153,154,155,156,157,144,132,126,106,87,88,106,138,131,129,117,99,88,67,55,150,152,150,148,147,145,144,143,153,155,157,157,159,149,135,131,107,93,89,110,130,131,126,108,91,81,46,105,161,148,149,149,148,147,145,143,153,155,156,157,158,157,141,135,115,101,86,107,125,122,116,99,82,62,55,153,155,152,150,150,148,148,145,144,154,155,156,157,158,158,150,137,117,101,89,99,117,110,101,85,69,38,117,162,152,152,150,150,149,147,145,144,153,155,156,157,159,159,152,134,116,100,92,95,108,101,87,76,44,89,165,155,155,153,151,150,149,147,145,144,154,155,156,158,159,159,152,130,115,103,99,95,101,98,83,62,58,155,158,156,155,154,152,150,149,148,147,145
6,186,188,190,191,191,191,192,192,191,191,191,190,189,188,188,188,187,186,184,183,182,182,181,181,180,178,175,174,188,189,191,193,194,194,194,193,193,193,193,192,191,189,188,189,187,186,185,185,185,184,184,182,181,179,177,175,188,190,192,194,195,195,196,195,195,194,194,193,192,191,190,190,189,188,187,186,186,185,184,182,181,180,179,177,189,192,194,195,196,197,197,196,198,196,195,196,194,193,192,191,191,190,188,187,187,186,185,183,183,181,179,179,191,193,195,196,198,199,198,198,199,198,197,197,196,195,193,192,193,191,188,184,184,184,184,180,180,177,175,179,193,194,196,199,200,200,200,200,200,200,199,198,196,193,188,184,180,180,175,158,162,172,171,160,167,164,178,199,194,196,197,199,201,201,200,200,200,198,188,179,181,183,178,180,182,181,171,165,160,176,174,161,165,162,167,186,194,196,199,200,201,202,201,200,204,202,180,165,171,180,182,185,186,183,168,153,150,148,146,138,134,133,129,137,196,198,199,200,202,202,202,201,213,210,187,173,164,164,165,161,157,150,140,128,107,103,97,118,141,149,163,174,198,199,200,201,202,203,204,204,221,216,201,184,166,155,150,144,138,128,114,95,72,62,82,169,189,188,187,186,199,200,201,202,204,205,203,213,226,221,208,176,148,142,148,153,150,144,134,126,117,90,147,192,190,189,187,186,200,201,203,203,205,206,204,222,229,224,197,151,131,136,141,150,154,149,141,133,128,102,161,195,193,190,188,186,200,202,205,205,206,205,207,229,226,219,176,142,141,136,129,135,148,138,132,129,116,94,169,195,194,191,189,187,201,203,205,206,207,202,216,228,224,221,193,175,156,139,122,129,149,142,138,136,117,112,189,196,194,192,190,189,202,204,205,207,206,207,224,226,225,226,221,204,164,140,144,151,151,142,131,121,116,108,178,197,194,193,191,189,203,206,206,208,202,215,226,227,227,223,221,207,157,131,136,140,141,135,122,114,108,97,177,197,195,194,192,190,202,205,206,204,203,220,226,228,223,217,213,194,157,136,127,119,124,129,126,118,99,120,193,197,195,195,192,189,201,202,204,195,210,222,225,224,218,212,206,200,182,161,126,100,112,128,124,117,96,151,198,196,195,193,191,190,201,204,198,192,218,224,224,220,219,217,209,205,207,183,137,114,129,141,129,112,100,116,194,196,195,194,191,174,203,204,191,204,219,223,221,219,220,214,206,211,206,172,127,114,120,119,109,97,89,115,194,198,196,184,138,86,203,196,198,214,219,218,215,210,206,203,202,205,186,149,120,114,110,106,99,95,106,169,197,181,139,92,56,44,199,192,207,214,217,210,202,197,192,194,190,176,154,130,116,105,100,130,140,155,170,158,119,77,50,43,39,38,190,198,210,212,211,201,191,187,185,182,176,156,136,123,122,111,132,156,135,115,87,61,36,27,31,35,34,33,182,207,209,208,200,189,177,173,179,173,163,151,138,120,98,73,67,53,42,39,37,38,17,19,25,30,30,30,195,210,209,204,195,184,170,164,162,154,143,131,111,85,59,40,29,30,28,32,35,28,9,14,20,26,28,26,207,210,207,199,187,168,152,148,140,124,109,94,71,48,38,41,23,20,23,28,32,23,5,10,17,25,26,23,211,209,205,199,173,145,141,136,126,109,80,57,41,31,30,39,27,15,23,25,26,18,3,9,18,25,24,23,211,208,203,191,150,136,149,139,117,91,53,39,29,25,26,34,27,17,23,17,23,13,2,10,18,25,20,20
1,197,199,202,203,205,206,206,207,209,209,209,210,209,207,210,213,208,210,210,210,209,210,210,210,209,209,209,208,199,202,205,205,207,209,209,210,211,211,210,211,213,216,197,183,213,210,212,211,210,211,211,211,213,211,210,209,203,205,207,209,210,210,210,210,212,213,212,214,203,220,210,131,214,219,211,212,212,212,213,213,214,213,212,211,205,207,208,210,211,212,212,212,214,217,213,232,193,177,219,128,186,198,215,215,216,216,216,216,216,215,214,214,207,209,211,213,214,215,215,215,216,218,213,236,189,172,220,133,156,159,174,226,216,218,217,218,219,218,216,216,209,211,212,214,216,216,218,218,218,218,218,236,193,174,232,160,155,184,137,226,218,219,219,220,219,219,218,218,211,213,214,216,217,218,219,219,220,220,200,237,208,163,234,178,148,194,134,210,225,221,222,221,220,220,220,219,212,215,217,218,217,219,222,221,222,230,164,203,227,153,221,188,156,212,156,185,229,222,224,224,224,223,222,221,214,216,217,218,220,222,223,223,225,234,154,195,228,153,206,198,163,227,185,161,232,224,225,226,225,225,224,223,215,217,219,219,223,224,225,224,228,240,161,197,226,157,211,211,161,206,212,151,217,230,227,226,226,225,225,224,217,218,220,222,224,224,228,225,231,240,163,208,245,173,197,228,159,186,227,158,193,238,227,228,228,227,227,227,217,219,221,222,224,226,228,227,233,230,161,199,245,168,164,224,153,186,238,173,168,239,227,230,230,229,229,228,219,221,223,225,226,228,229,228,235,229,182,165,236,142,153,217,153,168,234,189,154,234,231,231,231,230,230,228,219,221,224,225,227,228,229,227,241,232,175,137,224,204,187,181,201,210,187,173,148,223,236,232,232,231,231,230,220,222,225,227,229,228,230,229,241,223,175,178,177,236,192,194,226,198,171,178,139,196,242,231,233,233,233,231,222,224,225,227,230,229,230,231,238,222,214,209,153,205,212,239,229,210,169,165,149,153,245,234,235,235,234,232,222,225,227,229,229,230,231,232,238,216,203,194,158,203,240,238,211,235,219,176,146,129,231,239,235,236,236,235,222,225,227,229,230,231,231,234,246,212,187,180,206,220,211,193,164,245,250,229,184,119,208,245,235,237,237,236,222,224,225,228,229,229,230,235,255,219,179,181,173,169,161,154,187,230,245,227,201,153,187,249,236,237,236,236,222,224,225,226,229,229,230,234,255,235,177,177,176,176,190,219,251,230,224,213,178,147,171,248,235,237,237,236,223,224,227,228,229,229,230,232,255,251,187,181,198,195,243,254,249,240,220,202,170,119,170,249,235,237,237,236,223,225,227,229,230,231,231,233,255,255,206,191,209,193,238,255,255,244,216,190,162,115,164,249,236,237,237,237,222,224,226,230,230,231,232,232,253,255,221,202,225,192,236,255,255,243,208,180,154,115,181,250,236,238,238,237,223,223,226,229,230,231,232,229,245,255,234,216,235,192,222,255,255,232,201,173,145,119,213,246,239,240,239,238,228,229,230,233,234,235,236,233,239,255,246,230,227,207,202,255,254,224,196,166,134,124,236,241,240,240,238,239,193,197,202,208,209,211,216,218,221,251,255,244,220,210,183,253,246,215,186,157,128,143,252,246,249,249,241,240,128,132,134,135,135,138,141,143,140,237,255,233,213,201,179,227,231,203,172,151,133,143,193,194,195,197,221,245,135,136,137,137,139,138,138,141,126,210,246,221,209,199,182,208,219,197,164,148,140,132,131,130,153,206,226,234
11,158,161,165,168,171,173,176,177,179,180,180,181,180,181,180,181,181,180,179,178,178,175,172,173,171,170,166,164,160,165,167,170,172,175,178,179,181,182,183,182,181,183,184,182,181,181,180,179,179,177,174,174,172,171,169,166,163,167,171,173,176,179,180,182,184,184,185,185,186,176,165,187,182,182,181,180,179,178,177,175,174,173,170,171,167,170,173,176,179,182,184,186,187,187,187,186,192,195,116,187,186,184,185,183,181,181,180,177,175,173,178,153,170,173,176,179,182,186,187,188,189,189,191,186,199,210,106,180,191,187,187,187,185,184,181,180,178,177,178,99,171,176,179,182,186,188,189,190,192,192,195,187,211,207,93,180,194,190,188,187,188,186,185,183,180,185,162,65,174,178,180,185,188,190,193,193,196,198,194,192,237,200,96,192,195,192,192,191,189,188,187,187,185,190,146,52,177,181,185,188,190,193,196,196,196,186,211,180,233,187,108,202,196,195,195,195,192,192,190,189,187,191,159,76,180,184,188,190,193,197,192,228,206,126,187,160,114,165,113,180,203,197,197,198,196,195,193,194,191,190,182,96,182,186,189,193,197,192,223,247,227,177,109,143,97,127,108,147,212,198,200,199,198,197,196,196,194,191,193,118,184,188,192,197,195,210,255,198,207,205,123,108,104,143,114,156,214,202,203,203,201,200,199,197,196,194,197,167,187,190,194,197,200,251,234,157,155,201,112,101,96,140,113,163,216,205,207,205,204,203,202,200,198,197,196,190,188,193,198,194,227,255,193,148,175,173,80,109,95,129,103,177,216,208,210,209,206,206,204,202,201,200,198,195,190,194,200,195,241,247,178,120,136,143,83,106,94,125,99,200,215,210,211,210,208,206,204,202,202,202,200,199,192,196,200,196,247,250,194,141,89,90,119,85,107,122,104,217,213,212,211,210,210,209,207,207,205,203,203,200,193,199,202,200,255,248,185,128,89,74,127,82,140,130,75,178,228,214,216,217,211,204,200,198,206,211,205,203,195,200,204,205,255,245,185,138,98,77,88,73,130,114,65,93,200,215,202,180,166,156,152,140,129,172,211,203,196,202,203,213,255,241,190,149,111,89,92,98,117,120,115,114,120,141,146,161,170,153,126,116,96,117,214,205,198,204,204,216,255,237,190,152,117,95,98,144,174,174,161,148,129,131,153,151,129,109,129,178,193,198,210,207,200,205,207,215,255,240,200,162,127,102,117,171,169,155,149,142,126,114,108,113,152,184,217,224,219,216,211,208,202,207,207,223,255,243,208,163,140,113,132,163,162,150,131,127,100,90,146,212,228,225,219,216,216,215,212,209,203,211,204,237,255,243,204,160,140,119,129,143,149,139,116,95,119,193,231,227,222,218,220,218,218,217,214,212,205,209,209,255,255,225,186,149,127,119,130,126,134,126,91,151,230,234,224,225,224,222,222,220,219,219,216,213,207,205,250,255,245,213,174,142,124,124,127,115,109,102,170,240,232,227,227,225,225,224,223,221,219,219,218,216,204,215,255,255,229,205,169,149,132,121,116,94,133,213,241,231,230,230,228,227,226,225,224,222,221,220,218,217,201,230,255,249,201,168,160,146,123,113,89,119,230,240,231,232,232,232,230,229,228,226,224,224,223,220,219,216,203,247,255,239,179,145,139,130,112,97,98,213,240,233,235,234,234,232,232,229,229,228,225,226,224,221,219,218,215,255,255,225,154,137,132,120,102,85,178,245,235,239,238,235,235,233,232,230,229,229,228,227,226,223,221,220
1,76,14,50,64,70,79,96,112,123,128,133,136,138,141,145,149,153,153,156,158,159,160,160,162,163,162,163,164,68,15,55,65,71,81,99,114,124,130,134,137,140,143,151,147,120,155,159,159,159,161,161,163,164,164,165,165,57,18,59,65,73,84,104,117,125,131,137,139,141,144,164,148,82,138,139,160,161,163,163,165,165,165,165,164,45,24,60,66,75,84,106,119,126,132,138,140,147,142,157,143,91,136,98,152,165,165,166,166,166,166,166,166,34,29,62,68,77,87,109,121,129,135,139,140,164,130,137,136,98,147,98,143,168,166,167,168,168,167,167,168,23,36,63,69,77,90,111,122,129,135,140,142,170,119,143,139,102,149,98,132,170,167,168,169,169,169,168,169,15,42,64,70,79,93,113,123,129,135,144,145,173,106,139,135,99,152,107,128,171,168,170,171,171,171,171,171,14,49,66,72,81,96,115,124,132,136,159,129,159,101,143,137,98,145,105,125,174,171,172,173,172,173,173,173,15,54,66,73,82,98,116,125,132,147,153,111,149,104,164,138,96,153,113,120,176,173,174,174,174,175,175,174,19,58,68,73,82,101,117,126,132,165,135,106,142,109,170,129,102,174,120,122,176,174,175,176,176,176,176,176,24,61,68,75,84,104,119,128,136,176,118,121,147,109,149,106,103,167,110,125,177,176,177,178,177,178,179,178,29,64,69,76,86,105,120,129,144,175,102,118,129,95,136,95,117,161,102,129,178,177,179,178,179,180,179,180,35,65,69,77,87,106,120,127,157,172,99,107,135,133,130,149,156,154,99,132,180,179,180,180,180,181,181,181,41,67,71,78,89,109,121,127,171,159,109,115,160,148,130,152,145,140,95,130,183,180,182,182,182,181,181,182,46,68,72,79,91,111,121,129,183,169,151,146,172,165,154,140,127,117,90,129,184,180,181,183,183,184,183,183,51,67,72,79,91,113,121,142,192,155,146,146,139,140,171,168,150,123,86,126,184,181,183,184,185,185,185,185,57,68,74,81,93,113,119,163,184,137,116,110,91,111,167,169,160,139,95,119,186,181,183,185,185,186,186,186,61,68,75,82,95,116,121,176,176,137,129,136,128,170,180,170,146,127,91,92,185,184,185,186,186,187,188,187,64,69,75,82,97,117,122,175,182,150,134,141,172,202,185,162,134,101,84,71,169,188,187,187,188,188,188,188,66,69,75,83,98,117,123,169,193,165,145,141,175,206,187,153,126,90,74,69,166,189,187,189,189,189,189,189,68,70,77,84,99,116,124,159,195,166,148,143,166,198,179,147,116,90,70,86,184,188,188,190,190,190,190,191,68,70,78,85,102,118,127,149,189,163,154,146,153,184,171,143,109,88,67,131,192,190,190,190,192,192,192,192,69,71,79,86,103,119,129,140,180,167,163,155,167,178,153,125,99,82,75,171,190,192,192,192,193,193,194,193,68,71,78,86,105,119,128,138,165,167,160,149,157,163,136,111,94,75,94,189,191,192,192,193,194,194,195,194,68,71,77,84,104,118,129,138,151,164,156,147,135,137,125,106,94,71,112,192,191,192,194,195,195,195,195,195,68,71,77,84,104,116,128,137,144,162,157,145,135,135,133,116,94,67,138,191,188,191,193,194,194,194,194,194,68,69,75,83,104,115,126,135,161,168,161,157,146,136,126,114,87,65,150,191,188,190,192,193,194,195,195,195,68,69,74,83,104,115,127,137,183,180,139,158,148,132,110,99,84,60,136,192,188,191,193,194,195,195,195,195
7,156,156,157,157,157,158,157,157,156,157,156,156,155,155,154,153,153,152,151,150,149,150,140,81,69,61,63,82,158,159,158,159,160,159,159,160,159,159,158,158,157,156,156,156,155,152,152,152,152,150,155,98,62,50,58,72,159,160,160,161,163,162,160,161,161,161,160,160,159,158,158,157,156,154,154,154,153,152,157,119,48,41,56,62,161,162,164,163,164,164,163,162,162,163,162,162,162,160,158,158,158,157,157,155,154,154,154,148,55,31,47,57,162,164,165,165,165,165,164,164,164,164,164,164,163,165,162,161,160,159,158,157,157,155,154,157,117,69,51,68,164,164,165,166,167,166,166,167,167,166,165,164,164,153,152,157,155,149,144,148,139,154,152,153,119,121,132,121,166,167,168,169,169,168,169,168,166,167,166,167,167,149,137,157,162,149,137,140,127,163,150,138,85,139,157,145,168,169,170,170,170,170,171,171,171,176,181,180,170,151,146,151,139,139,125,124,118,117,116,145,107,151,115,132,169,170,171,172,172,168,166,175,184,187,185,177,168,159,159,151,117,116,140,129,124,114,112,115,105,127,103,158,170,172,173,172,187,178,169,171,177,176,172,170,169,168,162,146,130,123,140,137,130,132,118,97,100,130,113,160,171,174,172,184,200,186,175,168,172,175,173,172,171,167,165,144,131,124,116,108,106,104,94,89,83,93,116,150,172,173,173,198,200,186,162,153,163,174,174,171,162,150,140,122,112,104,98,103,108,115,114,120,129,136,156,162,176,174,182,205,196,179,150,152,161,153,147,139,129,122,111,98,95,152,172,164,168,170,168,169,166,167,153,105,177,174,197,202,191,174,164,161,149,140,144,147,142,138,133,140,120,89,155,174,169,167,166,165,163,161,163,111,174,181,207,199,197,194,192,168,148,153,154,152,143,134,132,128,115,64,53,161,173,168,167,167,165,163,164,150,171,196,206,202,201,201,198,163,134,145,144,139,132,127,120,111,97,72,38,136,179,169,169,167,166,164,163,163,185,207,205,203,200,196,186,155,139,128,108,95,103,117,126,131,134,80,64,162,173,170,171,169,168,166,164,162,204,207,206,203,198,190,179,163,146,131,113,113,141,157,145,134,146,101,155,178,171,171,172,170,168,167,164,163,205,207,206,202,192,186,171,151,150,152,133,141,152,141,131,124,120,90,169,178,173,173,172,171,168,167,167,164,206,206,204,200,188,170,149,155,170,160,140,139,136,129,123,117,93,82,176,177,176,174,172,172,171,169,167,166,207,204,201,195,177,165,168,182,179,164,144,121,109,97,85,74,75,141,182,176,178,175,174,172,171,170,168,165,204,199,193,184,178,179,181,177,169,148,123,96,94,107,81,121,164,182,179,179,178,177,175,172,171,170,168,167,197,191,186,183,183,184,170,160,157,141,115,96,161,187,179,187,184,180,181,178,178,177,176,175,172,171,169,168,187,185,187,181,177,176,163,159,150,120,90,161,192,183,185,182,181,182,181,180,178,177,177,175,174,172,170,168,180,177,181,176,167,164,159,146,118,84,150,193,184,185,183,183,182,183,182,180,181,178,177,176,174,171,171,164,179,174,170,161,152,150,140,117,81,139,193,184,184,184,184,183,182,182,180,178,178,178,177,175,173,176,172,154,175,168,157,142,135,127,104,82,141,193,187,187,186,185,184,183,182,182,180,179,178,177,177,173,175,156,151,164,157,146,131,116,107,94,79,143,196,185,187,187,187,186,184,183,182,182,180,180,179,178,177,176,168,78,60,117
13,162,164,167,174,180,183,186,187,190,192,197,198,199,201,204,205,205,206,206,207,208,207,207,207,207,208,207,206,164,166,170,175,181,184,187,188,191,194,197,199,201,203,205,206,207,207,208,209,209,209,208,208,210,210,210,208,166,168,172,178,183,186,188,190,193,196,198,201,203,205,207,207,207,209,209,208,209,210,211,210,211,211,211,210,167,169,174,179,185,188,190,192,194,197,199,201,204,207,207,205,209,204,208,216,216,213,212,212,213,212,211,211,169,171,175,181,185,189,192,194,197,199,201,203,206,207,213,233,230,194,157,190,202,212,218,213,214,214,213,213,170,172,177,183,187,191,193,196,199,201,204,205,208,206,208,225,234,192,140,119,158,160,195,218,213,215,215,215,170,174,179,183,188,192,195,197,199,204,206,210,219,180,164,174,222,197,146,115,169,148,129,219,217,216,215,215,171,174,180,184,190,193,194,199,201,205,196,229,242,210,175,136,187,224,172,118,174,146,128,218,218,217,217,216,171,175,182,186,191,194,197,199,202,218,174,159,231,236,200,142,122,221,177,119,180,157,137,224,217,219,218,217,174,177,182,187,192,195,198,198,227,233,191,138,158,248,214,162,97,138,160,110,206,163,167,227,218,220,219,218,175,178,183,189,192,197,196,224,226,231,216,170,108,217,209,156,102,84,110,110,182,141,186,229,219,221,220,219,175,179,186,191,195,195,212,230,184,210,223,180,104,175,201,145,101,79,118,154,166,142,143,225,222,222,222,221,177,181,188,192,196,197,235,229,191,191,204,161,106,148,200,163,98,110,177,183,159,144,130,188,231,221,223,222,180,184,190,195,196,209,230,206,172,175,188,141,95,121,211,176,103,179,209,187,155,130,136,145,229,223,224,224,181,186,192,198,197,220,239,212,180,156,172,142,92,86,197,161,149,222,205,181,154,134,123,141,231,224,225,225,182,187,195,202,200,224,244,216,193,148,144,136,94,126,204,203,219,214,193,167,149,131,107,181,236,225,227,226,183,189,198,204,201,230,249,225,198,161,139,141,168,209,230,233,227,204,181,158,142,120,120,223,228,227,227,227,184,192,200,206,204,236,252,234,198,178,185,180,193,213,228,224,218,196,172,155,134,104,153,239,225,229,228,228,188,196,203,208,207,237,244,241,208,195,197,173,206,216,223,224,206,184,164,146,128,96,190,238,228,230,229,229,191,200,206,212,212,228,239,245,220,206,199,182,210,226,215,211,190,170,153,139,110,125,236,232,232,231,231,231,194,202,209,214,216,219,240,240,228,211,197,187,202,222,212,191,177,160,149,130,112,215,240,233,234,233,233,233,197,204,211,215,220,217,234,233,229,218,208,197,194,213,208,185,167,150,143,112,192,247,235,236,236,235,233,232,198,206,212,216,221,219,224,238,231,227,222,206,192,205,201,176,149,146,120,159,247,236,239,239,237,235,241,241,200,208,215,220,223,221,218,239,225,221,216,199,186,195,187,166,138,135,127,230,242,239,240,239,238,244,213,163,202,210,218,222,225,225,221,233,203,203,210,201,187,189,177,161,145,116,181,251,240,242,240,242,247,181,103,83,203,211,218,222,226,227,221,240,210,213,220,213,191,179,172,162,145,114,215,245,244,243,251,249,172,97,97,77,204,213,218,222,225,227,218,244,221,223,230,213,195,175,171,161,142,117,229,245,244,248,206,136,91,98,107,78,204,214,219,223,226,230,219,240,237,238,237,214,199,178,169,161,138,119,233,243,252,205,108,90,78,88,105,93
19,152,155,157,157,158,160,160,159,160,161,161,161,160,160,159,158,162,160,156,156,156,155,155,155,153,154,153,153,155,156,158,158,159,161,162,161,162,162,162,162,162,161,161,154,125,144,162,157,158,157,157,157,155,154,154,153,156,157,159,161,161,162,163,164,163,163,163,164,165,161,174,152,106,92,165,160,160,159,158,157,157,156,156,155,157,159,160,163,163,164,165,166,166,164,164,166,164,166,182,153,121,78,156,163,161,161,160,161,157,156,157,157,158,161,163,164,165,165,166,166,166,166,166,167,164,171,179,148,116,73,155,165,162,163,160,158,161,158,158,159,159,162,163,164,165,168,168,167,167,167,166,168,164,176,175,129,99,67,153,162,158,154,158,178,146,156,160,160,161,163,164,166,167,169,168,168,169,169,168,168,164,173,170,136,130,142,165,155,164,160,170,207,113,149,162,160,162,163,166,169,168,169,169,169,169,169,167,171,174,173,165,162,170,184,177,159,158,159,138,116,117,163,162,161,164,165,168,169,170,171,170,170,167,174,182,192,194,184,166,146,141,134,131,112,103,102,110,131,163,163,162,163,166,167,168,169,171,171,174,176,176,189,193,190,181,168,162,160,150,90,90,118,140,152,167,172,165,166,164,163,168,168,170,171,171,177,193,185,182,178,180,179,177,176,174,172,163,90,124,182,172,171,167,167,167,166,165,164,169,169,170,172,169,187,201,188,180,179,186,188,190,181,173,167,140,80,100,179,167,169,169,167,167,167,167,165,170,170,173,175,172,186,196,177,172,182,190,192,181,172,174,176,160,85,71,170,170,169,168,167,167,168,167,165,170,171,174,176,173,187,186,171,173,176,170,170,175,184,174,177,169,92,55,139,177,168,170,169,168,168,168,167,172,173,175,176,176,192,173,174,176,166,156,179,183,172,166,166,141,88,53,114,182,170,171,170,169,168,168,168,173,174,175,177,178,186,182,185,183,184,189,189,177,169,162,150,122,79,53,94,183,172,173,172,171,169,170,169,174,175,177,179,179,180,202,192,184,184,185,175,162,155,166,178,170,100,43,121,184,172,174,173,171,170,170,170,176,176,179,180,182,177,198,197,178,173,157,127,152,186,183,171,170,106,68,174,177,175,174,175,173,173,172,171,176,178,181,180,183,178,182,190,176,171,162,169,190,182,161,149,141,93,64,167,180,176,176,175,175,174,173,172,175,179,181,181,182,181,179,186,196,189,181,184,177,162,151,137,118,73,71,176,178,176,177,177,177,175,174,172,178,180,181,183,184,183,180,183,195,183,167,171,163,149,128,96,68,76,158,182,178,178,178,177,177,177,176,175,179,182,182,183,185,187,177,183,185,175,158,153,132,111,84,59,43,147,192,178,180,178,178,179,177,177,176,176,179,182,183,185,185,187,178,181,181,168,148,136,119,94,72,60,94,190,179,182,181,180,180,180,178,177,176,176,179,182,184,187,186,187,178,172,177,164,140,130,128,94,72,62,107,193,181,183,183,182,182,181,180,178,178,176,179,182,184,187,187,189,178,167,169,162,136,121,98,79,73,67,73,184,185,183,183,183,182,182,181,179,178,177,179,181,183,185,186,189,177,166,159,161,150,131,100,82,76,67,71,180,185,182,182,181,181,181,180,178,175,175,180,182,183,185,185,189,170,169,166,156,144,132,103,83,75,65,80,185,183,183,182,181,181,180,180,178,177,176,180,182,184,186,186,191,164,177,183,171,141,114,91,76,74,59,120,192,182,183,183,182,182,182,181,179,177,176
7,176,178,180,181,183,183,185,186,186,187,186,186,186,186,185,185,185,184,185,183,182,181,180,179,178,177,176,176,178,180,181,182,184,185,187,187,187,188,188,188,187,187,187,186,186,184,184,185,184,182,181,180,179,179,178,178,179,181,183,184,186,187,188,189,190,191,190,189,189,189,189,188,187,186,186,186,185,184,183,181,180,180,179,179,181,182,184,186,187,189,191,191,191,191,191,191,192,191,190,189,188,188,187,186,186,185,183,183,182,181,180,180,182,184,187,188,189,191,193,193,193,193,193,193,193,192,192,191,190,189,188,187,187,186,185,184,184,182,182,181,184,186,189,190,192,194,195,196,196,195,195,194,194,194,194,193,192,191,190,190,188,187,187,185,185,184,183,182,186,188,191,192,194,196,197,198,198,197,197,196,197,197,197,196,194,194,193,193,191,189,189,187,187,186,184,183,187,189,192,194,194,191,179,172,179,184,179,171,171,171,177,178,175,172,175,166,168,183,185,188,189,187,185,185,189,191,194,194,191,177,151,130,129,139,148,142,135,127,139,154,153,143,148,133,152,181,166,186,190,188,186,186,190,191,190,187,180,170,159,144,119,107,121,128,129,117,123,137,137,134,130,127,137,159,152,186,191,190,188,187,187,184,178,173,172,175,173,151,107,93,106,117,111,92,97,97,104,111,107,104,111,121,154,189,179,187,190,188,179,176,174,173,166,159,164,138,91,93,104,120,119,107,96,104,132,149,140,127,134,139,169,197,154,176,192,190,177,173,170,164,155,150,152,142,105,81,84,99,107,116,111,104,132,149,143,133,133,133,130,146,147,187,193,192,175,167,161,157,155,153,154,152,124,80,58,60,77,93,98,97,111,113,114,110,115,126,138,160,187,196,194,193,169,162,156,153,152,151,150,142,114,79,58,68,128,122,118,124,137,149,158,169,186,194,197,200,198,197,195,195,161,155,149,146,141,140,138,129,105,74,60,63,156,207,201,203,206,207,206,204,204,202,201,201,200,199,197,195,157,152,147,146,144,143,141,135,114,75,59,62,95,206,211,210,210,209,207,205,204,204,203,201,200,200,198,196,157,155,149,148,144,143,146,144,117,77,64,62,72,191,214,211,210,209,208,207,206,206,205,202,201,201,199,198,162,163,158,149,141,132,134,131,108,83,74,66,61,159,215,212,210,209,209,208,208,207,206,204,203,201,200,199,163,162,158,146,137,126,120,112,95,85,83,73,60,100,211,214,213,211,210,209,208,207,207,205,204,203,201,199,156,152,141,127,118,109,103,94,84,81,84,75,65,118,213,214,213,212,211,209,208,208,207,206,205,203,201,200,139,135,118,100,91,91,94,77,72,80,86,107,153,192,214,213,212,211,210,209,208,208,207,206,205,203,201,200,96,104,95,86,109,147,183,160,133,139,169,200,215,215,215,214,214,213,211,210,209,208,207,206,206,205,201,200,30,38,43,118,201,211,215,216,214,215,217,218,216,216,216,215,215,214,213,212,211,209,208,207,206,205,203,202,8,9,31,176,214,214,215,215,216,217,217,217,218,216,216,216,215,214,214,213,211,209,208,208,207,206,203,202,13,8,100,208,213,214,215,216,218,219,218,218,219,217,216,216,216,214,214,213,211,209,209,208,207,207,205,203,23,24,174,213,212,214,215,217,218,218,219,219,218,217,216,215,215,215,214,214,212,210,209,207,199,192,182,171,26,30,172,199,197,199,201,201,202,202,201,201,201,201,199,198,197,196,196,195,193,191,178,143,107,90,73,59
16,188,189,189,192,197,200,203,206,209,211,212,214,217,218,218,220,221,222,224,223,224,225,224,224,224,222,223,224,188,190,190,192,197,201,204,206,210,211,212,215,217,219,222,223,225,225,227,229,228,227,224,224,226,225,224,224,188,190,190,192,197,202,205,208,210,212,214,218,219,217,209,202,196,192,192,197,205,221,231,228,225,226,225,225,189,191,191,194,198,203,206,209,211,210,208,203,193,184,172,161,151,148,148,139,130,135,172,210,231,225,226,227,189,189,190,194,199,201,205,203,212,187,184,175,170,172,167,158,150,139,136,138,126,109,107,114,170,231,228,226,189,189,191,197,199,206,217,218,228,194,185,171,164,169,163,155,149,143,131,134,135,118,113,111,101,173,236,226,190,190,192,197,197,211,233,230,228,204,187,166,155,158,157,156,147,147,136,131,129,119,118,115,118,106,206,234,189,190,193,197,198,206,224,232,229,200,182,154,147,147,146,152,147,143,142,133,129,123,118,114,120,106,138,240,190,191,192,197,197,212,223,238,228,198,166,144,131,137,139,145,146,141,147,142,126,124,126,118,110,120,101,204,189,191,193,197,197,212,227,239,220,189,145,129,111,124,141,149,154,149,152,150,129,123,130,114,112,123,106,137,189,191,194,197,201,206,229,238,211,168,132,128,97,82,141,153,169,166,167,155,133,127,133,114,115,121,120,98,191,191,193,198,201,201,230,234,198,155,124,114,81,53,115,147,167,190,189,168,134,129,135,116,115,121,125,112,191,191,192,197,202,202,225,224,182,149,117,105,97,78,103,128,172,200,190,168,133,130,126,116,116,118,122,122,189,190,193,197,201,204,217,206,166,142,109,113,112,109,114,104,190,195,172,160,139,131,118,118,118,119,121,124,187,189,191,195,198,203,211,194,151,121,100,119,116,111,102,120,202,180,168,157,138,119,118,118,118,122,123,125,186,189,191,195,199,205,221,188,133,120,91,108,113,131,168,196,193,166,164,147,120,111,118,120,119,122,121,122,189,189,193,197,199,206,221,181,127,149,136,153,194,224,223,202,171,161,153,129,108,113,117,122,123,123,121,120,188,189,192,197,199,207,227,178,117,195,224,224,227,225,212,191,155,144,136,130,112,114,118,121,126,124,123,123,188,189,193,197,199,208,222,165,122,212,220,220,222,224,215,178,147,121,147,150,119,118,119,121,125,124,126,125,186,189,192,196,198,208,217,141,138,224,219,220,222,224,217,176,134,127,193,168,136,126,121,122,124,124,126,126,186,189,193,195,197,209,208,123,158,224,217,220,222,224,220,185,111,163,226,180,153,134,125,122,124,126,127,129,184,186,190,196,194,219,199,113,185,221,218,219,223,226,218,195,119,184,239,189,168,146,133,125,124,125,125,127,183,187,191,193,187,233,170,121,202,209,211,213,214,216,209,193,141,166,233,192,179,158,144,132,128,127,127,130,144,144,147,149,144,173,137,125,148,147,148,152,153,154,154,153,142,139,152,152,185,168,154,143,137,132,129,131,136,135,135,137,136,135,136,134,135,137,136,136,138,135,135,137,135,134,131,130,172,179,163,151,143,138,133,131,140,141,141,141,143,142,141,140,142,144,146,144,143,143,143,142,143,141,143,134,158,189,170,158,149,144,139,136,140,140,140,141,142,141,139,141,142,142,142,142,141,142,142,140,146,150,148,144,146,190,180,165,156,152,145,141,141,141,140,141,142,141,140,142,141,141,141,141,140,142,141,140,142,141,142,142,139,187,189,176,167,159,148,142
22,88,91,97,113,127,137,141,145,152,158,163,167,170,172,175,176,178,179,179,178,177,177,176,175,173,172,171,170,88,91,99,115,128,138,142,146,154,160,164,168,172,174,177,178,181,173,172,180,179,179,178,177,176,175,172,172,89,92,100,117,130,140,144,149,156,169,172,146,172,176,179,181,190,156,133,181,181,180,180,164,171,178,175,173,90,93,102,119,132,142,147,152,157,184,184,121,166,179,181,184,199,152,118,182,184,186,183,130,141,181,178,175,90,93,103,120,133,143,148,153,159,184,193,123,158,182,182,187,195,145,125,186,185,194,180,120,144,183,180,178,90,94,104,122,135,144,149,155,161,180,199,133,147,184,185,189,188,139,138,189,189,196,165,114,166,184,181,179,90,93,105,122,136,146,151,157,163,177,207,154,137,185,187,187,173,127,145,191,200,199,149,124,183,184,183,181,91,94,106,123,136,147,152,158,164,175,206,162,128,180,189,189,173,119,153,194,204,186,133,150,188,186,185,183,91,95,107,124,138,149,153,159,166,174,203,169,122,168,191,188,174,118,166,204,202,158,117,173,190,188,187,185,90,94,108,126,139,150,155,160,168,175,198,190,138,152,191,177,160,110,185,216,195,140,125,189,191,189,188,186,91,95,108,126,140,152,157,161,169,176,190,197,140,127,178,157,151,133,200,207,179,120,155,195,193,190,189,188,91,95,109,127,142,153,157,163,171,179,185,195,134,99,145,159,177,196,207,188,146,114,183,196,193,192,190,188,91,95,110,128,143,153,157,164,173,180,182,190,147,121,158,169,181,196,194,171,116,144,199,196,194,194,192,190,91,96,111,129,144,154,158,165,174,190,178,152,147,131,151,160,182,182,184,148,106,178,202,198,196,195,194,192,91,96,111,130,145,155,159,167,175,202,177,165,153,153,128,113,150,165,155,116,105,189,202,200,198,197,195,194,89,95,112,130,146,156,160,168,177,209,191,176,171,162,128,98,94,123,122,100,110,198,202,201,200,199,197,195,89,95,113,132,147,157,161,168,182,216,197,156,135,144,148,133,105,84,82,85,107,200,203,202,202,201,198,196,91,96,114,132,148,157,162,170,183,220,204,144,96,99,150,154,133,106,89,74,89,193,206,203,202,201,199,198,89,95,114,132,148,157,161,170,180,219,214,164,141,96,183,176,149,125,104,67,76,188,207,204,202,201,201,200,87,93,113,132,147,157,161,169,178,216,221,176,153,132,205,193,160,131,106,65,85,197,206,203,201,201,201,201,86,92,112,132,148,157,161,170,177,212,221,181,159,182,204,180,160,124,98,63,106,207,206,204,202,202,202,200,84,90,111,132,149,158,162,170,178,203,220,197,168,202,201,166,162,136,93,60,126,209,207,206,204,202,202,200,81,88,109,130,147,156,161,170,179,194,213,200,170,195,194,166,154,135,88,60,156,211,208,207,204,202,202,201,106,110,118,129,139,147,151,157,164,165,196,199,168,163,173,150,131,110,72,69,165,186,184,183,182,181,181,181,114,114,112,109,113,115,115,117,118,92,118,182,148,126,134,124,103,83,64,78,111,111,109,109,109,108,108,104,114,115,115,115,115,115,115,117,111,73,54,105,120,120,128,132,110,81,56,78,109,106,105,105,103,99,82,61,116,116,116,116,116,116,117,117,94,58,54,51,83,117,126,127,99,58,25,60,110,108,107,104,86,63,43,34,116,116,116,116,116,116,118,113,72,60,57,52,50,69,90,80,47,21,14,72,112,107,107,88,55,44,34,24
6,156,158,160,162,164,165,166,167,168,168,168,166,166,166,166,166,166,164,165,165,164,162,162,162,160,160,159,156,157,159,162,164,165,167,167,168,169,170,170,169,169,168,168,167,167,167,166,165,165,164,165,164,162,161,160,158,158,161,164,165,166,167,169,170,170,171,171,171,171,171,170,169,169,168,167,167,166,165,166,166,165,164,162,161,159,162,164,166,167,169,171,172,172,172,172,172,172,172,172,172,171,170,170,168,167,166,165,165,166,166,165,164,161,164,166,167,169,171,172,173,173,173,174,173,172,168,161,159,159,161,157,157,150,149,173,150,150,169,166,165,162,165,168,170,171,173,174,175,174,174,174,172,169,160,147,144,155,164,156,157,146,145,174,136,129,171,167,166,165,166,168,171,172,174,175,175,177,179,185,184,180,169,155,146,149,151,147,142,141,127,125,120,155,171,169,167,165,167,170,172,172,173,173,178,187,188,184,171,158,140,128,110,106,111,120,125,129,138,151,165,172,171,170,168,165,167,169,170,182,188,175,174,174,168,156,148,140,127,122,112,102,147,163,169,173,176,176,175,172,172,172,170,165,168,171,170,200,188,167,162,159,166,172,170,158,150,149,147,109,140,182,177,177,176,176,176,175,173,173,172,165,168,171,174,191,164,155,160,166,173,178,176,168,159,151,134,100,107,181,179,179,178,177,177,175,173,173,172,166,169,171,188,195,162,154,157,162,170,173,173,162,147,142,123,85,88,169,181,179,178,178,177,175,175,174,173,168,171,171,192,174,163,165,161,163,165,173,175,160,139,142,134,84,77,146,184,179,178,178,178,177,177,175,173,169,172,172,188,178,181,173,172,174,180,183,173,159,151,146,123,90,79,132,185,180,179,179,178,178,177,176,175,169,172,173,184,201,198,172,169,170,169,167,162,154,144,126,100,89,85,122,185,181,180,180,179,179,178,176,175,171,173,173,183,208,200,175,165,154,137,135,144,142,141,136,91,83,90,139,186,182,181,181,180,179,179,178,176,171,173,173,187,199,194,181,163,148,152,167,168,153,146,150,107,75,111,180,183,182,181,181,181,180,180,178,176,171,174,174,188,193,196,190,165,159,171,178,161,148,140,130,106,87,136,187,183,182,182,182,181,180,180,179,178,172,175,174,188,195,189,185,169,163,169,167,156,141,127,109,94,94,157,187,184,183,182,183,183,182,181,179,178,172,175,173,187,195,189,181,170,162,161,147,134,115,100,92,91,112,178,186,185,184,184,183,183,181,181,179,178,172,176,172,182,191,192,178,163,150,139,116,97,76,69,82,122,173,187,186,185,186,186,184,183,181,181,180,179,172,175,171,179,187,178,159,147,135,116,95,79,67,80,108,177,190,186,185,186,186,185,184,184,182,180,179,179,171,174,171,173,181,163,148,144,136,106,91,88,74,90,150,188,186,186,185,185,183,182,182,183,182,180,179,177,171,175,167,165,175,153,150,150,125,100,94,95,85,132,186,187,186,187,187,185,183,183,182,182,181,180,178,177,172,174,165,161,170,146,156,150,118,99,92,99,123,182,188,187,187,187,186,185,184,183,182,182,181,180,179,178,172,175,162,164,165,150,158,146,118,98,93,103,166,190,187,187,188,186,185,185,184,184,183,182,181,180,180,178,171,175,155,169,168,148,153,134,107,93,97,110,178,188,186,187,187,186,185,184,185,184,184,183,182,180,179,178,169,172,150,176,163,142,139,116,99,93,99,124,186,186,185,184,185,183,183,183,183,181,183,182,181,180,180,178
4,189,189,189,190,191,192,191,189,192,191,191,193,193,193,192,193,193,193,193,192,194,192,189,189,191,189,189,188,191,191,191,192,192,193,193,193,193,194,193,194,193,193,194,193,194,194,194,194,193,193,193,193,192,192,190,189,192,193,194,193,193,194,194,194,194,194,193,193,193,194,196,195,195,196,198,196,195,194,194,193,193,193,192,190,193,195,195,194,195,195,194,195,195,195,196,196,197,182,172,190,193,175,171,194,198,197,195,195,194,195,194,191,194,195,196,195,196,196,196,195,195,195,187,195,224,201,160,150,205,175,138,136,190,184,195,198,196,196,195,194,195,195,196,197,196,196,199,198,197,210,203,177,180,229,184,137,211,198,151,100,163,140,129,194,199,196,195,195,196,195,196,197,199,199,199,197,203,222,220,189,139,210,194,127,204,205,156,134,196,158,95,131,204,197,197,196,197,199,199,200,199,200,201,198,212,201,215,189,134,183,194,112,180,206,144,140,202,160,103,106,204,200,199,198,198,200,200,201,201,201,201,203,221,177,201,192,121,162,200,132,145,185,125,151,212,180,107,120,207,201,202,199,198,199,200,201,203,202,199,213,204,146,158,196,132,138,202,182,169,169,174,200,219,182,121,137,210,202,202,200,199,200,200,201,203,202,203,218,206,175,149,172,128,108,142,179,179,182,197,201,197,167,145,111,200,204,203,202,200,200,200,201,203,202,213,214,196,176,147,124,94,94,113,112,150,159,167,178,168,152,165,101,163,210,204,203,200,201,201,202,203,203,216,203,172,146,136,117,93,101,121,89,123,129,131,142,134,169,173,120,117,211,204,204,200,202,202,203,204,204,220,207,173,135,112,105,99,113,121,119,153,152,125,96,157,207,187,148,95,186,209,204,200,202,202,203,204,204,228,221,188,146,112,93,99,121,114,153,177,171,142,159,175,207,203,175,110,134,214,205,200,201,202,203,204,207,227,226,196,152,111,97,99,124,138,181,171,181,191,207,208,196,207,170,118,103,210,207,199,200,202,202,202,208,229,228,206,152,112,112,104,112,147,171,180,203,209,204,205,187,175,151,120,93,197,208,199,200,202,202,201,209,230,224,212,155,123,134,121,128,160,176,200,208,205,198,191,177,147,126,109,109,202,208,200,201,201,202,202,212,225,222,200,163,155,142,129,173,195,208,215,210,200,187,174,157,130,104,94,175,209,207,200,201,201,202,202,211,225,222,206,183,170,148,130,191,213,215,219,207,191,175,161,140,115,87,146,210,208,208,201,202,202,203,203,205,227,221,217,197,172,166,139,182,215,216,214,197,173,162,150,126,99,112,203,210,210,208,202,202,202,203,204,196,221,222,224,206,183,170,154,179,214,211,202,185,163,149,132,111,91,178,214,210,209,208,204,204,205,205,206,196,211,220,212,195,185,170,160,175,203,199,187,171,149,136,118,92,129,213,211,211,210,209,178,182,187,187,191,185,206,222,203,185,185,175,163,173,186,185,170,153,136,127,108,93,194,217,215,214,213,212,107,108,108,110,113,106,190,220,200,191,193,182,166,172,181,179,164,139,123,117,93,117,178,179,183,185,184,182,101,101,100,101,101,90,182,222,202,199,194,184,167,173,185,183,162,123,111,102,93,99,102,102,98,101,130,145,103,102,104,104,105,93,183,227,204,200,198,192,169,168,184,179,144,109,100,90,99,102,99,103,140,170,204,221,102,102,104,105,106,93,179,230,206,200,206,206,173,156,180,166,124,102,93,95,115,117,143,183,227,212,174,196
12,185,185,187,189,189,192,192,192,191,191,191,191,191,190,190,189,189,188,187,187,187,186,185,185,183,182,182,181,186,186,187,189,191,192,193,193,193,194,193,193,192,191,191,190,191,189,188,188,187,187,186,185,184,183,184,183,187,187,188,191,193,193,193,194,194,195,194,195,193,191,181,169,178,188,183,182,188,188,188,185,185,185,185,185,188,188,190,192,193,194,195,195,195,195,195,195,194,187,158,125,101,170,150,121,126,180,188,187,186,186,186,186,188,189,192,193,194,194,195,196,196,196,194,192,193,170,139,112,98,155,133,109,67,132,174,180,187,187,187,186,189,191,192,194,195,195,196,197,196,196,184,153,179,167,150,95,130,168,136,109,94,142,131,99,141,186,187,186,191,192,192,195,197,197,197,197,198,202,185,144,163,192,153,87,166,182,135,114,127,130,115,83,71,143,188,188,192,193,193,196,196,198,198,198,206,212,189,149,141,180,129,81,180,179,123,116,166,148,118,83,66,83,188,188,193,194,194,196,197,199,199,197,211,200,183,140,99,101,94,66,126,135,91,131,186,150,128,78,54,71,186,189,194,195,196,196,199,200,199,204,219,197,161,125,93,42,43,83,128,145,128,165,193,145,103,58,52,75,188,189,194,195,196,198,199,200,203,213,198,184,141,114,87,44,100,176,184,177,164,176,144,102,78,72,60,82,191,192,195,196,198,199,200,200,214,214,187,156,139,150,96,126,188,193,183,175,159,165,162,114,109,99,75,112,192,192,196,197,199,199,201,202,224,213,189,168,141,160,152,204,203,188,178,181,162,164,156,122,96,90,66,160,193,192,196,199,200,200,202,206,226,217,201,192,169,171,187,200,201,185,186,174,155,161,141,106,80,69,64,185,193,193,197,199,201,202,202,208,225,221,208,196,182,174,186,188,192,184,181,168,159,153,124,89,69,57,86,195,194,193,198,200,202,203,204,208,224,221,207,189,175,173,177,184,189,181,177,162,154,130,100,74,62,49,121,197,195,194,198,199,201,202,203,207,222,219,197,177,171,177,177,189,191,180,168,154,133,103,79,65,55,44,153,199,198,195,198,201,203,203,204,207,210,203,192,188,184,180,179,197,186,169,150,138,116,88,72,59,49,71,189,199,198,195,199,201,202,204,205,211,219,219,213,204,191,177,176,193,174,151,130,120,97,79,67,50,61,165,198,199,198,198,200,201,203,205,205,218,224,221,212,199,186,176,173,184,162,134,117,101,83,70,55,77,166,198,199,199,199,199,200,202,203,204,207,224,224,218,207,190,178,174,176,170,148,124,104,85,67,65,124,185,202,202,200,200,201,200,200,202,203,203,210,224,219,210,200,186,173,172,174,160,137,111,82,63,75,163,199,202,202,202,201,201,200,198,199,201,203,200,217,215,207,196,193,183,166,168,163,142,123,101,70,65,165,201,203,203,201,201,201,200,199,197,162,192,201,204,214,199,193,185,182,174,171,166,155,129,106,86,62,138,199,202,204,203,202,201,201,200,199,198,78,84,135,209,202,185,176,172,173,179,170,157,146,118,94,73,77,186,205,206,204,203,202,201,201,200,199,199,77,71,72,156,180,168,159,164,172,175,156,143,134,107,83,58,120,203,207,206,205,203,202,202,201,200,201,200,71,71,72,66,79,90,89,98,114,129,127,125,117,94,72,54,165,206,206,207,206,204,203,202,201,200,201,199,70,68,69,61,18,33,39,38,36,37,43,58,74,72,54,80,187,206,206,206,206,205,203,201,200,200,200,199
14,116,120,125,128,131,133,134,137,139,139,140,141,142,143,143,143,143,143,144,142,141,141,140,140,140,138,138,137,117,123,126,130,134,135,138,139,141,142,142,144,144,146,146,147,145,147,145,145,145,144,142,142,142,140,140,140,119,124,128,132,135,138,140,142,143,144,146,147,147,148,148,149,148,148,151,149,148,146,145,144,143,143,142,141,121,125,129,133,137,141,141,144,146,146,147,149,150,151,150,153,148,150,139,145,149,151,148,146,147,146,144,143,123,127,132,135,139,141,143,146,147,149,150,153,154,152,153,152,170,157,129,133,132,128,153,150,147,149,148,146,125,130,134,138,140,142,144,148,148,148,153,155,156,154,155,175,171,159,143,130,121,103,101,146,153,149,149,149,126,132,136,140,142,143,146,150,151,152,154,155,156,157,175,176,176,150,141,160,130,97,58,81,159,152,151,150,127,134,138,140,144,147,149,150,154,154,156,157,156,165,177,168,161,93,48,126,100,135,57,17,100,164,151,153,130,134,138,142,146,149,151,152,155,156,158,159,167,182,169,101,66,57,26,22,58,165,101,34,64,161,154,154,133,137,140,145,148,149,152,154,156,159,159,170,191,189,153,104,54,16,14,14,6,124,133,66,40,151,159,156,133,139,143,147,148,151,154,156,159,160,161,189,187,151,109,85,62,28,10,13,28,120,104,77,42,122,168,157,132,139,144,148,150,154,156,157,161,155,182,195,175,139,72,37,37,24,12,37,141,172,151,127,55,97,172,156,134,139,145,149,152,154,157,161,156,172,206,183,168,135,77,38,15,11,26,162,174,156,150,104,35,118,172,160,136,141,145,150,152,155,158,158,163,204,192,179,163,111,76,46,7,3,133,183,166,157,137,103,27,79,179,160,138,142,147,152,155,157,161,158,198,208,189,178,150,118,83,29,0,15,71,128,187,142,117,91,44,32,150,170,138,144,149,153,157,161,159,176,214,204,187,168,147,107,65,20,17,32,26,42,146,108,117,90,66,30,131,176,139,146,151,154,158,163,159,203,212,197,179,164,138,81,47,18,49,61,63,59,50,94,119,95,42,72,171,169,141,147,151,156,158,157,177,214,199,189,170,150,114,75,43,41,69,74,75,82,64,91,107,68,48,163,174,169,141,147,153,156,169,164,205,207,192,177,157,144,104,78,50,58,75,79,77,74,76,80,81,44,143,180,169,171,142,147,154,158,97,158,224,199,182,168,153,129,112,78,53,65,80,76,67,66,79,47,30,135,184,172,174,172,143,148,163,115,33,55,156,193,160,141,127,116,91,52,53,56,69,71,60,60,41,31,123,187,174,176,175,175,143,153,144,51,49,40,37,95,137,126,90,58,28,30,41,41,53,58,42,41,102,165,187,177,179,177,176,176,144,157,83,48,39,38,35,32,44,49,38,22,15,19,22,22,23,23,52,145,194,186,182,181,179,178,177,177,154,117,45,48,34,33,32,38,21,0,0,0,0,0,0,0,55,123,174,192,182,183,183,182,181,180,178,178,142,66,46,36,33,31,29,26,40,0,0,0,0,0,0,0,31,198,187,183,185,185,184,182,183,182,180,179,89,44,38,34,33,29,25,24,33,8,0,0,0,0,0,0,55,196,182,186,185,186,186,184,184,183,181,181,57,40,27,28,26,18,19,19,35,5,0,0,0,0,0,0,137,202,186,188,188,187,186,185,184,183,182,182,56,41,32,18,5,53,38,9,38,0,0,0,0,0,0,0,176,193,188,188,189,188,186,186,185,184,182,182
1,75,80,98,120,137,146,149,157,164,168,171,175,180,184,184,191,190,189,191,192,192,194,194,194,197,196,196,196,76,81,101,123,140,148,153,160,168,173,177,181,183,196,198,150,195,197,198,196,197,198,198,198,200,198,197,197,78,85,106,129,144,151,156,166,175,180,182,185,190,213,221,109,173,164,184,207,201,202,203,202,202,201,201,200,80,88,110,133,148,154,162,172,179,184,191,209,144,211,223,106,164,168,126,217,207,208,209,208,208,206,204,203,81,91,115,135,150,157,165,177,184,187,201,234,119,191,223,99,164,195,101,201,218,215,214,213,213,212,210,209,81,94,120,139,154,160,168,180,189,193,205,240,127,177,231,115,167,204,101,181,228,217,219,219,218,217,216,215,83,98,124,144,160,165,173,184,192,195,212,246,136,159,220,120,171,221,121,166,236,221,224,223,223,222,221,219,84,101,127,148,162,168,175,187,198,207,165,238,147,134,198,121,169,217,126,160,242,227,228,228,228,227,226,224,85,105,132,153,166,171,180,189,214,218,124,224,152,110,208,132,160,228,139,160,248,231,233,234,234,232,230,230,86,108,136,156,167,172,186,194,227,208,115,229,164,96,194,125,157,241,152,161,252,237,240,240,238,237,235,235,87,111,138,159,171,175,189,197,233,206,106,217,187,101,157,151,158,216,157,155,255,242,244,243,242,240,239,239,89,113,141,162,173,179,193,200,243,221,102,178,214,169,173,180,155,145,129,151,255,244,246,245,246,245,243,242,90,117,143,164,177,182,196,203,245,226,105,151,171,177,183,138,145,184,123,153,255,247,251,250,251,249,248,247,93,121,148,169,180,185,201,208,241,231,159,176,101,155,130,109,204,233,203,150,235,255,251,254,253,252,251,252,94,124,152,174,183,189,203,211,253,237,179,149,103,137,95,156,221,228,234,166,126,248,255,255,255,255,255,253,96,127,153,176,186,193,207,217,255,236,172,127,110,145,149,224,249,233,208,139,94,163,255,255,255,255,255,255,98,130,157,178,187,195,211,221,255,248,176,122,127,156,175,246,255,243,192,131,90,142,255,255,255,255,255,255,101,133,160,182,190,198,215,223,255,255,191,124,141,172,201,245,255,239,190,136,78,167,255,255,255,255,255,255,104,137,164,184,192,201,218,224,255,255,217,137,149,183,209,255,255,229,178,134,76,192,255,255,255,255,255,255,108,141,167,187,194,204,221,227,255,255,239,156,159,188,204,255,255,223,165,126,73,213,255,255,255,232,158,86,112,144,171,191,197,208,223,229,255,255,252,174,178,176,200,253,248,215,151,117,76,234,255,205,109,58,34,41,115,147,174,193,199,209,225,233,247,255,255,193,197,169,203,238,242,200,143,105,87,255,174,55,29,35,39,31,117,148,176,195,200,210,224,235,237,248,255,213,200,177,184,236,219,186,129,96,106,151,48,58,45,13,36,40,119,151,179,195,199,210,223,232,236,241,248,221,207,194,164,212,203,169,123,99,75,34,25,53,61,8,13,45,121,153,181,198,201,213,226,235,243,235,243,231,215,208,169,178,201,158,122,94,57,49,24,19,60,29,0,28,123,155,184,200,203,216,228,237,246,238,245,241,225,209,164,158,186,153,115,82,61,48,33,0,35,51,0,6,120,155,186,201,205,219,229,239,246,243,248,228,204,196,167,159,158,140,102,73,67,35,33,5,11,50,19,0,136,159,181,192,200,212,220,232,241,237,247,238,200,204,192,159,140,133,97,69,60,47,23,11,0,33,35,0
13,182,183,186,187,187,188,190,191,193,192,193,193,194,195,194,194,195,194,194,194,194,194,194,195,194,193,193,192,182,184,187,187,188,190,193,194,194,194,195,195,196,196,196,196,196,195,195,195,194,194,194,195,194,194,195,194,184,186,188,189,191,193,194,194,195,195,196,197,198,198,198,198,199,198,197,199,195,195,196,196,196,196,197,196,186,188,189,190,192,194,195,195,196,197,197,198,200,201,199,200,199,203,205,193,201,196,198,198,198,198,198,197,188,189,191,192,194,194,196,197,197,198,199,199,200,200,200,200,201,232,217,163,176,206,194,200,201,200,199,199,188,191,192,194,195,196,198,199,199,200,200,201,199,202,202,198,213,236,205,151,172,226,167,154,202,200,201,200,190,192,194,195,195,197,200,200,200,201,202,200,203,233,212,186,228,228,215,144,189,216,169,113,171,207,200,201,191,193,196,196,198,199,201,201,202,203,203,197,220,242,226,190,197,195,175,111,192,212,160,106,150,213,201,202,192,195,197,197,199,201,202,202,202,204,204,214,208,234,235,213,157,109,115,103,188,179,119,92,157,213,203,205,193,195,197,199,201,202,202,204,204,202,223,240,197,184,242,221,178,105,99,137,197,169,130,102,161,214,205,206,195,197,198,200,202,203,203,206,204,209,242,240,224,164,212,223,176,127,74,109,206,223,219,142,164,215,205,208,196,198,200,201,203,205,206,208,203,227,238,240,237,191,157,202,165,121,81,132,204,215,213,174,170,215,208,210,197,199,202,203,204,207,208,207,206,239,227,227,230,196,126,174,192,125,131,230,227,206,188,178,152,211,210,211,197,200,203,203,205,208,209,206,221,242,230,209,198,162,105,151,209,157,215,241,227,208,181,162,140,209,213,211,199,201,203,206,206,207,209,207,225,242,234,212,187,161,119,96,190,224,240,231,224,202,175,140,157,217,211,211,201,203,205,207,207,207,211,209,222,242,236,213,177,175,145,122,231,242,239,232,214,184,164,130,176,220,212,212,201,203,206,208,208,208,210,209,228,242,238,221,207,184,205,221,242,240,237,229,202,180,157,124,187,221,214,214,202,204,207,208,209,210,213,210,230,242,241,231,225,208,217,227,241,236,229,223,198,172,140,124,204,219,215,215,203,206,208,210,210,212,215,210,225,242,241,236,227,215,214,219,240,230,218,218,196,154,121,154,224,215,217,216,205,207,209,211,213,212,214,214,220,242,242,241,228,212,216,221,230,216,208,205,171,129,118,207,223,217,218,218,207,209,210,212,213,215,219,215,211,234,229,219,203,196,211,216,230,217,206,186,145,101,154,229,218,220,220,220,207,209,211,212,214,212,175,165,162,156,141,128,123,121,122,127,137,131,132,130,112,120,225,223,220,221,220,220,207,210,213,213,216,206,145,146,146,138,125,119,114,107,100,95,80,71,69,65,64,83,157,220,222,220,221,220,208,210,213,214,217,215,154,145,146,135,125,121,117,107,101,93,85,78,72,66,62,61,49,119,232,219,222,222,209,211,212,214,218,221,160,142,142,132,124,121,114,104,97,90,81,74,69,65,61,66,51,152,234,222,223,223,208,210,213,214,215,222,163,144,141,132,131,123,112,101,94,88,81,73,68,64,63,50,116,237,223,225,224,224,208,210,211,214,216,221,165,139,142,130,128,121,109,96,89,86,79,73,68,64,61,62,206,230,224,224,224,224,208,210,212,215,217,222,165,139,138,130,125,116,105,95,88,86,80,73,68,64,53,106,235,222,226,224,224,224
3,58,49,0,29,61,78,89,104,113,120,125,130,134,137,140,143,146,149,153,153,156,159,160,163,164,165,164,166,67,42,0,37,67,82,94,107,116,123,129,133,136,138,141,145,149,148,149,157,158,161,163,164,165,167,168,169,75,36,0,43,70,84,97,110,117,124,131,134,137,140,144,147,151,161,102,149,163,163,165,166,166,168,170,169,77,24,0,48,71,85,98,111,119,126,132,136,138,140,146,149,155,179,92,128,168,162,166,167,169,170,171,171,78,12,1,51,74,86,99,113,121,127,131,136,139,143,147,150,159,176,88,127,169,164,167,170,170,171,172,172,77,3,11,55,75,88,102,115,121,130,135,137,142,145,150,151,164,181,90,134,169,165,169,170,171,172,173,173,75,0,18,58,78,89,104,117,124,132,137,142,147,144,145,145,176,166,86,138,173,169,171,172,173,175,175,175,70,0,27,61,80,92,108,119,126,133,135,139,139,182,163,116,165,136,77,141,175,171,173,174,175,176,176,177,62,0,35,64,83,95,109,120,128,131,158,166,126,148,192,135,102,124,75,153,175,173,175,175,176,178,179,179,51,0,42,67,83,97,111,122,129,126,166,208,176,107,145,149,107,138,84,166,172,174,175,177,179,180,181,181,39,0,47,70,85,100,115,122,133,183,162,119,164,131,97,182,153,130,75,160,178,174,178,179,180,181,182,183,26,0,51,72,89,101,116,121,144,199,181,122,92,148,93,98,116,137,79,106,180,176,179,180,182,182,183,184,14,6,55,74,91,103,118,119,156,165,110,147,125,126,134,48,81,157,147,92,134,187,179,182,183,184,185,185,2,14,57,77,91,104,120,118,165,158,73,95,97,86,98,93,87,137,168,98,127,190,181,184,183,185,186,185,0,22,60,78,93,106,121,120,169,158,129,98,64,82,99,117,94,144,170,89,149,191,183,185,186,187,187,187,0,29,62,79,92,107,119,121,182,174,126,86,71,96,124,125,108,171,178,90,165,187,184,186,187,188,188,189,0,35,64,81,94,107,120,124,181,159,105,81,85,110,138,142,162,192,162,87,171,186,185,187,188,189,189,190,0,40,65,82,95,107,122,123,177,168,121,94,87,118,147,173,199,178,142,84,173,187,187,188,189,190,190,191,0,42,68,85,97,110,122,122,176,177,132,102,95,116,163,203,200,158,110,94,187,188,189,189,190,189,190,192,0,46,69,86,98,111,122,122,172,187,151,109,103,121,185,201,191,158,85,103,194,185,189,190,190,190,191,191,4,48,70,85,97,111,123,124,162,186,153,124,114,128,194,199,179,150,76,118,196,186,190,190,190,191,191,191,9,52,71,84,97,111,121,127,147,173,158,145,130,133,187,189,164,139,70,145,195,186,189,190,191,192,192,192,14,54,73,86,98,112,121,129,137,165,167,154,146,129,167,168,147,117,75,173,190,188,190,190,191,192,192,192,20,55,74,86,99,112,120,129,135,171,174,157,139,120,141,146,136,107,96,192,186,189,191,191,192,193,192,192,24,56,74,86,99,113,121,131,134,186,181,153,132,117,133,130,137,89,142,194,185,189,191,192,193,193,193,193,28,57,74,86,99,112,122,130,138,198,181,156,138,124,142,129,117,83,176,186,187,189,191,192,192,193,193,193,33,60,75,87,99,113,121,129,142,196,191,173,135,141,153,119,83,100,188,183,188,189,191,192,192,195,194,194,37,61,77,89,100,113,120,129,143,198,201,175,134,150,143,110,68,118,191,184,188,189,191,192,193,195,196,195
12,189,189,190,192,193,193,196,196,196,197,197,196,196,196,195,194,194,194,193,193,193,191,191,190,190,188,188,188,190,191,192,193,194,196,197,197,197,198,198,198,198,196,197,197,196,194,194,193,193,193,192,192,191,190,190,189,191,192,193,194,196,197,198,198,199,199,200,199,199,199,199,199,198,196,196,195,195,195,194,194,193,193,191,191,192,193,194,197,198,198,199,200,200,200,200,201,200,200,199,198,198,198,198,197,197,197,196,195,194,193,193,192,193,195,197,198,199,199,201,202,202,201,202,203,203,204,201,199,200,202,204,198,197,197,198,197,195,194,194,193,194,196,198,199,200,202,202,204,204,204,204,202,200,194,200,205,195,173,173,205,202,201,198,198,198,197,195,194,196,198,199,200,202,203,205,204,205,206,204,211,201,164,146,199,189,151,103,174,189,185,204,200,197,197,197,196,198,199,201,203,205,205,206,207,206,207,208,216,200,164,107,160,185,149,116,121,165,122,140,203,199,198,199,197,199,201,203,205,206,205,207,207,208,206,185,209,189,150,104,145,211,165,133,118,154,125,94,159,209,198,199,199,200,201,204,205,206,207,207,207,221,209,157,181,199,158,92,158,247,179,143,139,161,127,97,140,212,199,200,200,201,202,205,206,207,208,206,223,238,209,171,140,232,190,98,145,231,159,120,182,174,138,89,152,213,201,202,202,203,204,205,207,209,211,207,228,230,214,172,121,211,177,120,129,160,132,135,212,160,113,84,164,213,203,204,202,204,205,206,208,210,209,211,239,214,191,151,114,113,132,113,117,161,198,191,162,121,88,93,193,209,205,205,204,204,206,209,210,211,209,232,234,206,151,128,113,79,86,166,196,197,197,183,155,149,100,136,217,205,206,205,206,205,207,209,211,211,212,245,224,188,153,151,100,78,173,229,221,200,185,163,146,150,108,152,220,206,208,206,206,206,208,211,212,212,214,247,227,166,170,173,110,157,236,228,220,199,179,165,144,133,96,161,221,208,210,208,207,208,209,211,213,211,222,249,228,199,183,162,181,224,231,227,214,197,174,158,138,118,87,179,219,209,210,209,208,208,210,212,215,212,228,248,233,216,205,170,199,224,231,219,209,191,162,148,130,111,80,170,222,209,211,211,210,209,210,213,215,213,227,245,236,222,207,177,209,220,222,208,198,178,154,140,120,106,78,168,223,211,213,211,211,211,212,214,217,215,224,241,234,228,205,179,198,214,205,199,192,164,142,127,111,94,85,202,217,213,214,212,211,212,212,214,216,214,220,240,235,227,193,171,189,197,201,190,178,150,132,119,104,78,164,222,214,216,215,214,212,212,212,215,216,225,223,229,228,205,172,171,190,196,202,190,167,151,132,113,91,165,224,215,217,217,216,214,214,211,212,216,216,169,211,231,214,201,196,191,189,203,205,184,154,147,126,88,164,231,216,217,217,218,217,215,214,212,212,222,192,91,130,230,228,218,205,187,171,192,192,161,138,134,95,133,227,218,219,219,217,217,217,216,215,212,214,218,138,120,101,134,189,183,173,166,158,180,168,140,130,105,109,220,223,219,220,220,218,218,218,217,216,211,222,191,111,120,116,64,97,98,97,93,95,116,121,119,109,92,199,229,220,222,221,221,220,219,219,218,217,210,216,145,112,115,122,64,72,90,86,77,70,67,70,77,65,86,208,224,222,222,221,221,220,219,218,218,217,218,189,114,115,113,119,59,58,82,83,75,73,71,68,63,58,45,146,234,219,221,220,221,219,218,218,217,215
18,179,182,185,188,191,194,196,198,201,202,205,205,205,205,206,208,209,209,210,210,210,210,211,210,211,210,210,209,181,184,187,190,193,196,199,201,203,204,207,207,207,208,208,210,212,212,213,213,211,211,213,213,212,213,212,210,183,186,190,192,195,198,202,204,206,207,210,210,211,211,212,212,213,213,213,213,213,214,215,215,216,216,216,215,186,189,192,194,197,201,205,207,208,210,211,212,213,214,215,216,216,216,219,217,216,218,217,218,219,218,218,217,187,190,194,197,201,204,207,209,211,212,215,214,215,218,219,218,216,215,202,215,221,224,223,219,220,220,220,219,188,192,196,200,202,205,209,210,213,214,217,217,218,220,218,215,237,206,158,150,220,205,203,226,224,221,221,222,191,194,198,202,203,206,210,211,216,219,218,221,223,220,190,159,211,180,122,118,124,172,147,172,233,222,225,225,193,197,201,203,205,209,211,215,217,219,220,214,214,250,184,146,182,173,125,119,96,165,172,111,200,234,225,226,195,199,203,206,210,211,214,217,219,219,231,198,148,197,212,176,188,197,177,174,154,139,153,112,158,242,225,228,195,200,205,210,210,212,216,219,220,223,245,216,177,134,199,195,155,202,212,210,207,166,110,93,156,244,229,232,198,201,206,210,212,215,218,221,221,230,226,238,211,153,139,194,137,154,211,207,211,172,115,77,170,244,231,234,200,202,207,210,213,217,219,222,222,233,189,206,203,173,109,146,156,129,174,169,199,179,128,77,180,245,232,234,201,205,210,213,216,218,220,223,224,237,171,149,186,143,92,111,143,105,115,158,211,197,144,83,201,240,233,235,203,206,210,214,217,219,222,225,227,240,211,172,168,116,80,102,122,89,91,109,225,210,161,94,208,245,234,235,205,208,211,215,218,221,224,227,230,239,206,158,152,117,78,92,122,74,73,147,230,228,179,107,136,249,235,237,206,209,211,215,217,221,224,226,230,238,220,178,145,118,78,95,123,73,157,237,231,221,175,129,95,228,245,240,207,211,213,216,218,222,226,228,229,244,234,197,155,122,106,94,95,161,250,246,238,204,158,127,107,231,244,241,209,212,215,218,221,225,227,229,230,244,236,200,164,141,129,122,153,236,252,239,220,192,138,109,122,247,241,242,211,213,215,219,223,226,230,232,232,242,238,211,183,167,149,135,186,245,253,231,191,166,131,94,151,254,240,243,210,213,216,219,223,226,230,234,231,239,237,217,191,167,153,140,186,243,251,219,182,151,122,92,181,255,241,244,211,215,218,221,223,227,230,235,233,233,234,218,191,168,178,148,171,242,245,203,167,136,114,95,212,252,243,246,212,215,217,223,225,228,232,233,236,232,229,224,201,187,190,155,151,240,225,187,148,123,107,109,238,250,247,247,212,215,219,223,226,230,232,231,234,233,225,221,207,186,191,164,142,229,208,167,136,115,98,134,255,247,248,249,213,216,218,222,225,227,230,231,234,236,230,223,212,189,183,163,136,214,193,146,126,114,91,168,255,246,249,249,211,214,216,220,226,225,228,232,235,235,234,233,210,183,169,142,123,191,165,126,118,112,98,212,254,247,249,249,210,213,218,220,226,227,230,233,235,225,238,231,196,171,143,119,132,174,143,129,122,103,146,250,245,247,249,249,212,215,219,222,227,228,231,234,234,226,250,227,198,178,148,143,142,171,134,133,118,103,216,251,247,248,249,249,212,215,219,223,227,229,232,235,232,232,250,235,211,194,158,145,158,156,135,131,95,163,254,245,249,248,249,250
3,142,154,162,167,171,176,181,186,188,191,192,194,196,197,197,197,201,200,197,198,198,197,197,197,195,194,193,192,148,159,167,171,177,182,188,192,194,197,199,201,202,202,204,210,172,194,207,203,205,204,203,202,200,199,197,196,154,165,172,176,182,188,192,197,200,203,206,206,208,208,210,218,136,140,222,208,210,210,210,209,206,205,203,201,158,170,177,182,187,194,198,203,207,209,211,212,214,215,217,217,136,100,216,216,215,216,214,214,212,210,207,206,162,173,183,186,192,198,204,208,211,214,216,217,219,219,221,226,140,83,200,225,219,220,218,218,217,214,213,211,166,177,187,191,196,202,208,213,215,219,221,222,224,225,225,232,154,79,183,235,222,223,224,222,220,218,218,217,171,181,190,194,200,206,212,218,221,223,224,226,229,229,227,252,180,83,161,243,228,229,229,227,224,223,221,220,174,184,193,198,204,209,216,220,224,227,229,231,230,233,216,221,165,76,143,245,231,234,233,231,229,228,226,225,178,189,197,202,207,214,219,224,227,230,232,236,236,255,232,164,112,92,132,245,236,236,236,236,234,233,231,229,182,192,200,205,211,218,223,228,229,233,238,224,191,245,255,199,101,164,147,232,244,240,240,240,239,238,234,232,184,194,201,207,215,220,225,230,234,233,255,244,196,185,255,212,167,224,108,193,255,243,244,242,241,240,238,236,188,197,204,210,218,223,228,233,238,211,205,255,245,178,236,209,181,196,92,119,255,246,246,246,245,242,241,239,189,199,207,212,219,224,231,235,249,240,202,192,252,192,199,206,147,195,137,90,186,255,245,247,246,247,245,243,192,202,209,215,222,226,234,240,237,254,245,165,182,217,161,210,147,170,179,120,122,255,248,249,248,247,246,246,193,203,211,216,224,229,236,243,228,176,207,140,110,188,116,209,208,125,176,133,120,255,253,252,252,251,250,248,195,204,212,218,225,231,237,243,241,169,175,143,91,160,122,121,122,71,153,140,115,255,255,254,253,252,251,249,196,205,213,220,226,233,239,243,254,217,152,141,110,136,189,108,46,95,186,151,100,237,255,255,255,254,253,253,196,204,211,219,227,233,240,244,248,203,140,117,98,80,142,120,101,153,206,154,92,217,255,255,255,255,255,254,197,205,212,219,227,232,239,242,248,233,180,127,100,85,102,179,198,202,178,135,102,231,255,255,255,255,255,255,198,206,214,220,227,233,239,242,253,245,191,137,127,136,152,249,255,219,171,112,120,255,255,255,255,255,254,249,200,209,217,222,228,234,240,243,250,247,210,165,148,139,168,252,246,200,162,106,147,255,255,255,255,234,210,246,193,203,212,220,228,236,243,249,253,245,216,177,149,143,162,242,238,187,146,98,177,255,237,241,239,189,185,248,121,123,129,134,142,147,150,159,164,224,220,180,166,166,149,230,228,176,130,98,170,234,202,183,229,145,194,234,116,118,120,122,120,121,122,123,113,172,226,193,177,174,139,201,209,159,116,108,204,194,209,177,191,130,216,221,119,121,123,125,126,128,133,135,127,145,230,200,174,167,128,156,177,126,101,159,212,182,189,197,143,142,227,215,119,121,123,122,127,126,126,130,119,194,255,200,169,150,118,129,133,108,117,188,204,183,184,185,130,180,216,216,118,121,123,123,126,126,126,128,121,225,255,197,166,137,122,124,119,94,168,184,166,183,176,165,162,190,210,216,117,119,123,123,122,124,127,125,131,228,239,197,169,152,133,119,108,96,205,189,124,174,177,166,185,181,222,210
24,110,116,121,126,128,131,133,136,136,137,138,139,139,139,140,140,139,138,138,138,137,136,135,135,134,134,131,130,112,117,123,127,128,131,134,136,137,139,141,141,141,141,142,141,140,140,140,139,138,138,135,137,136,135,132,131,113,119,123,126,133,133,135,137,138,140,141,142,142,141,142,142,141,141,142,140,140,139,137,137,136,133,133,132,115,117,135,148,115,136,137,139,140,142,143,143,143,142,144,144,142,142,142,141,141,141,139,139,137,135,135,133,118,115,154,169,88,140,139,140,141,143,144,145,145,144,146,146,144,143,142,141,141,141,140,140,138,135,136,135,119,116,158,163,82,138,141,141,143,145,147,148,148,148,147,147,145,145,145,143,142,142,142,140,140,138,136,135,121,118,157,169,79,130,144,143,145,146,147,149,150,149,148,147,147,147,145,145,145,143,143,141,140,140,138,137,122,120,152,177,90,126,146,143,146,148,148,149,150,150,149,149,150,149,147,147,146,145,144,143,142,141,140,139,123,123,147,180,94,116,150,145,148,148,151,151,150,151,153,151,151,149,149,148,147,147,145,144,144,143,141,139,123,125,143,188,114,97,148,148,148,157,152,146,165,160,140,154,150,150,151,149,148,146,145,144,144,144,143,141,124,129,140,197,143,97,180,159,133,190,155,103,177,176,104,124,161,153,153,151,150,151,150,150,146,144,143,142,124,130,138,186,150,130,215,158,140,194,158,106,171,163,117,85,152,157,154,154,151,144,138,133,147,145,144,142,126,133,135,183,171,164,218,158,139,202,150,117,188,149,107,66,126,164,153,154,130,107,87,66,126,151,145,144,128,136,135,187,193,179,219,167,123,204,139,122,187,143,84,52,117,160,154,149,108,76,81,105,140,151,147,146,129,134,143,184,186,175,206,172,114,188,142,126,177,132,58,29,111,163,152,125,86,104,151,157,152,149,148,147,130,132,154,180,154,160,185,169,108,177,148,126,173,109,41,71,127,156,116,88,96,160,158,154,153,151,150,148,132,133,162,204,140,133,168,158,101,181,140,128,168,96,129,156,143,118,79,83,152,161,157,157,156,155,152,151,133,131,168,221,157,121,158,153,115,189,117,114,172,162,174,148,121,102,72,145,166,159,159,158,158,157,154,151,132,130,171,224,170,112,151,163,147,181,103,144,197,169,152,140,105,82,125,170,160,159,159,158,158,156,154,151,133,132,170,220,172,126,142,155,142,161,171,201,185,161,146,125,86,96,168,163,162,161,160,158,157,155,154,151,133,132,170,219,180,153,136,162,201,213,216,187,170,158,138,100,77,145,169,164,164,163,163,161,158,157,156,153,133,134,159,220,191,161,149,173,212,215,206,180,157,137,119,80,124,172,164,165,164,165,163,162,160,157,157,155,132,137,147,213,195,164,158,181,217,212,191,174,143,117,90,106,171,166,166,165,164,164,160,160,160,158,157,156,134,141,150,201,182,164,160,182,205,192,171,151,128,100,94,166,175,173,173,172,170,169,167,166,164,166,162,154,106,106,113,189,174,172,168,177,192,182,152,125,109,86,94,114,108,108,107,107,106,106,106,106,106,95,99,130,81,79,73,177,184,179,176,180,187,171,133,109,97,80,74,70,69,69,68,66,65,66,67,58,53,92,145,157,88,90,76,177,203,182,184,182,176,158,122,101,87,80,82,82,82,80,79,78,76,77,75,91,150,180,161,136,88,89,74,169,215,187,194,175,162,153,125,92,79,80,80,81,81,79,79,78,78,72,108,180,180,148,147,122
7,102,113,123,129,132,135,141,147,152,156,158,161,164,166,168,170,172,173,174,175,175,176,176,176,176,177,176,174,102,113,124,131,134,136,142,149,153,156,159,162,166,168,169,171,172,174,175,177,177,177,177,178,178,178,177,176,102,114,125,133,137,138,144,150,154,157,160,163,167,169,171,172,174,175,177,179,179,179,178,178,178,179,178,177,103,113,124,133,138,140,145,150,155,160,162,165,167,169,172,174,175,176,178,179,179,180,181,180,180,181,179,179,104,115,125,133,138,140,146,150,155,160,163,166,168,171,173,175,176,177,178,180,182,181,181,182,182,181,180,181,105,115,125,134,138,140,146,151,156,161,165,167,168,171,175,177,178,178,179,181,182,182,182,182,182,182,182,181,105,116,126,135,137,141,147,152,158,161,165,168,170,173,175,178,180,180,180,182,182,183,184,183,182,182,183,182,105,116,127,136,137,142,148,153,156,161,165,167,169,172,176,178,180,182,183,185,187,186,186,185,184,184,183,183,106,117,128,138,140,139,144,162,171,167,171,177,178,181,179,172,169,176,173,174,173,174,182,187,185,185,186,185,106,119,130,136,137,153,182,197,192,176,171,186,196,196,192,175,175,192,178,167,159,142,166,168,184,187,187,185,109,118,126,145,177,197,199,192,189,170,152,159,171,176,175,157,157,175,169,157,148,140,154,136,183,194,188,186,103,125,167,195,201,193,193,199,188,162,151,167,185,188,194,173,163,173,163,175,172,155,148,157,164,169,185,189,152,192,204,196,199,196,195,198,183,150,135,140,172,178,178,174,176,169,172,182,182,172,167,171,155,171,157,175,205,203,202,201,206,198,198,203,197,135,105,111,109,99,111,127,130,136,139,139,143,146,144,146,140,151,143,177,207,209,206,202,203,199,201,211,181,120,96,101,102,77,60,68,146,167,170,172,168,166,163,164,163,165,178,189,209,206,202,198,200,200,202,199,153,102,99,107,106,98,85,63,169,194,190,193,193,193,194,194,194,195,191,189,201,201,203,201,203,203,205,200,147,92,80,90,109,125,109,76,132,195,186,189,191,190,190,190,189,190,189,190,201,208,206,204,207,207,214,198,137,91,86,53,59,107,108,87,134,194,189,191,191,193,191,191,191,191,191,189,204,200,198,192,185,183,190,153,120,96,92,86,68,93,117,135,178,187,188,189,189,190,189,188,189,188,187,186,186,186,179,170,157,164,160,126,111,103,99,85,85,97,111,118,116,115,115,116,118,114,112,112,111,109,108,107,166,166,158,152,145,143,134,106,100,94,102,95,93,94,93,91,89,89,87,87,89,89,90,91,90,88,85,83,123,136,135,126,112,103,99,100,100,98,100,102,101,101,102,101,98,103,104,100,99,97,95,97,96,95,92,92,101,104,97,92,94,98,101,100,98,99,99,98,98,99,98,98,96,102,103,101,102,97,94,93,93,94,93,94,81,74,81,97,100,102,102,100,100,100,100,100,100,98,99,99,98,97,95,97,99,96,94,94,93,92,94,88,92,81,85,98,101,102,102,102,103,102,102,103,101,100,101,101,100,99,98,98,98,97,97,94,93,95,88,107,108,91,86,94,102,101,101,101,101,102,102,102,100,100,101,100,100,99,99,97,96,95,96,95,95,90,98,190,95,87,88,89,99,101,101,101,101,102,102,102,101,101,100,100,100,99,99,98,98,96,95,96,93,89,180,190,98,92,86,82,99,101,101,102,101,101,100,101,100,99,99,99,99,99,98,98,97,96,96,94,106,162,174,155
16,140,146,150,151,156,161,166,170,174,178,182,185,188,189,191,194,195,197,199,201,202,203,205,206,206,205,206,207,141,147,150,152,157,162,167,171,174,179,183,186,189,192,193,195,197,199,201,203,205,205,207,208,207,207,207,209,144,149,151,153,157,163,168,172,176,180,185,188,191,193,195,197,199,201,202,204,206,207,208,209,209,209,210,210,144,150,152,155,159,164,170,174,178,183,186,188,192,195,197,199,201,203,205,206,207,208,209,209,211,212,213,213,145,150,153,156,161,167,171,176,180,184,187,189,193,196,199,199,202,204,206,207,208,208,210,210,212,214,214,214,147,153,155,157,163,168,172,178,182,186,188,199,197,199,208,200,200,205,207,209,209,209,211,212,214,216,216,216,150,155,157,159,164,170,175,180,183,189,199,239,224,234,236,205,180,180,204,210,211,213,213,215,215,217,218,217,150,156,157,160,166,171,176,181,183,226,242,251,248,248,235,206,177,148,140,175,204,213,215,216,217,219,220,219,151,157,158,161,167,172,177,182,205,249,252,253,250,239,221,194,156,141,123,121,135,173,210,217,218,219,220,220,153,157,160,162,169,175,178,206,247,252,253,250,236,218,199,169,143,145,122,124,120,121,148,208,219,221,221,222,152,157,160,163,169,175,177,226,246,252,251,242,219,190,165,139,135,135,125,133,123,118,116,138,209,222,223,222,152,157,160,164,170,176,178,237,249,251,238,220,196,160,133,126,113,136,131,138,128,122,117,116,145,221,222,223,154,159,162,165,172,178,180,242,254,242,213,190,157,132,113,92,78,137,134,139,130,124,118,117,114,158,210,225,156,161,163,167,173,179,179,237,254,243,208,163,122,100,57,38,72,132,134,142,130,123,120,119,103,59,111,228,158,162,164,167,174,180,181,228,254,244,202,141,107,72,28,30,71,131,143,146,129,120,121,113,64,46,124,230,158,162,164,168,174,179,183,211,254,239,184,124,93,64,38,56,71,118,160,139,129,118,115,78,42,39,172,230,158,163,165,168,174,181,186,199,250,224,161,117,105,100,80,87,91,131,179,125,125,115,84,35,45,39,203,230,159,164,165,169,175,181,187,201,244,198,137,121,122,114,107,103,99,188,173,122,119,82,27,33,41,50,220,231,160,165,166,169,177,183,187,215,239,177,135,130,125,121,120,101,163,209,164,124,88,33,31,42,35,67,230,233,162,165,166,171,179,185,186,223,235,156,159,112,85,96,103,109,228,217,160,112,60,41,41,33,34,96,236,234,162,165,166,171,178,185,186,233,217,130,185,111,92,95,91,124,244,228,174,92,54,41,33,32,34,147,235,235,161,164,167,171,178,185,192,237,173,141,193,116,108,113,103,116,236,230,183,77,47,37,31,35,35,174,235,235,160,163,165,170,178,184,192,189,153,190,184,118,118,122,117,111,192,217,180,78,36,32,34,37,39,172,235,235,161,164,167,171,179,185,189,192,195,202,174,121,125,128,123,103,97,157,126,48,31,33,37,40,42,176,236,235,162,165,167,172,179,185,190,194,198,204,166,125,123,123,101,67,44,44,41,35,36,37,38,39,42,182,237,236,163,165,168,172,179,185,190,196,200,205,158,120,114,105,69,43,41,44,44,45,43,42,39,38,41,134,239,237,163,166,168,173,180,186,192,197,201,206,163,124,104,87,57,48,54,56,56,55,51,46,41,40,40,135,238,238,163,166,170,173,180,186,192,197,201,200,147,124,107,90,69,60,65,64,65,61,55,50,43,42,40,157,239,239
19,171,172,174,176,176,177,179,180,180,181,181,181,180,179,179,178,179,179,178,177,177,176,175,175,174,173,172,172,172,174,175,177,179,180,181,182,182,182,182,182,181,180,178,162,161,179,179,178,179,178,178,177,175,174,173,173,173,175,177,180,181,182,182,183,183,183,183,182,181,189,182,144,108,163,181,180,180,180,179,178,177,175,174,175,174,176,179,181,182,183,183,184,183,183,184,184,182,198,181,145,99,138,185,181,180,180,180,180,178,176,176,176,176,178,181,182,183,184,185,186,185,185,186,186,185,202,178,146,98,127,185,182,182,181,181,180,179,178,178,178,178,180,182,184,186,186,188,187,188,187,187,187,189,201,167,136,91,121,187,183,183,181,181,180,179,179,179,179,179,182,184,186,187,187,188,188,188,188,188,187,192,199,156,118,92,127,186,179,180,176,187,192,167,179,180,180,180,183,186,187,188,189,189,189,188,189,189,188,192,195,167,147,158,175,184,175,187,178,206,208,138,177,181,181,182,184,186,187,189,191,191,190,190,191,195,197,195,188,184,181,195,199,187,174,182,176,169,157,141,182,182,182,184,186,187,189,191,192,192,191,198,205,210,214,208,192,175,167,165,161,150,137,132,130,130,146,176,185,185,184,186,188,189,191,191,199,200,197,207,214,214,207,193,182,173,163,131,100,119,135,152,164,179,186,186,186,185,184,187,189,191,192,198,215,208,203,201,201,201,198,197,195,194,190,146,101,176,188,190,189,189,188,187,186,186,184,188,190,193,192,205,219,211,206,201,204,208,208,204,198,194,181,137,89,171,192,191,190,190,188,188,187,186,186,190,192,194,194,204,219,209,201,205,211,212,212,204,194,189,170,122,78,138,194,192,192,190,189,189,188,187,187,192,194,195,195,204,213,197,193,198,205,207,200,192,197,202,195,140,79,97,187,194,193,192,191,189,189,188,188,193,195,197,197,209,203,190,189,190,181,183,199,209,202,197,197,141,79,77,170,196,195,193,193,192,191,190,189,193,196,198,199,208,192,192,194,192,183,199,208,198,189,186,175,126,79,67,156,198,196,195,194,193,193,192,191,194,196,199,199,203,204,208,206,209,212,210,200,190,184,174,152,110,76,70,169,198,196,196,195,195,194,193,192,195,198,200,200,200,218,218,207,204,204,200,188,178,175,185,186,142,73,121,197,198,197,196,197,196,196,194,193,196,198,200,202,200,211,218,201,192,183,162,157,187,205,204,201,161,85,146,202,199,199,197,198,197,196,195,195,196,199,201,203,203,198,208,196,188,178,175,193,212,198,180,172,142,83,114,202,201,200,198,199,198,196,195,195,197,199,202,204,205,200,201,211,209,201,204,206,194,177,163,148,117,76,138,204,202,201,201,199,198,197,196,195,197,199,202,205,207,202,198,212,211,193,191,190,177,159,138,109,110,142,190,204,203,202,202,201,199,198,198,196,197,199,202,205,207,203,194,201,200,180,176,167,149,126,95,76,165,205,204,204,203,203,202,201,200,199,199,197,197,199,201,204,206,202,188,194,190,166,155,139,116,94,77,73,154,207,204,203,203,202,201,200,199,199,198,197,198,200,202,204,206,204,183,184,182,158,143,136,119,86,76,72,116,206,204,204,203,202,200,200,200,199,198,197,199,201,203,206,207,204,184,179,174,155,135,117,100,82,76,70,111,206,205,204,203,201,201,201,201,199,198,197,199,202,204,206,208,202,184,182,171,163,141,114,93,84,78,71,118,209,206,205,204,202,202,202,202,201,200,198
19,166,167,168,170,172,173,172,172,173,172,172,172,171,171,170,170,169,167,166,167,166,165,164,164,164,163,161,160,166,168,170,171,171,173,173,173,174,174,174,173,172,172,171,171,170,168,167,167,167,166,166,165,165,165,164,162,168,170,171,172,173,174,174,175,175,175,175,174,174,173,173,171,170,170,170,169,169,167,167,167,167,165,165,165,170,171,172,173,174,175,176,176,176,175,176,175,174,174,174,173,172,171,171,170,170,170,169,168,168,166,166,166,171,172,173,174,176,177,178,178,178,178,179,177,176,176,175,174,172,172,172,172,171,171,170,169,167,167,167,166,171,172,174,175,177,179,179,179,179,179,179,179,179,177,175,175,174,173,173,174,173,172,170,170,169,168,167,166,172,174,177,178,179,179,181,181,181,181,180,179,179,178,177,179,176,175,175,174,174,173,171,171,170,169,168,168,174,177,178,180,180,181,182,181,182,182,181,180,180,179,179,179,179,178,177,176,175,174,173,173,172,171,170,169,176,178,179,180,182,182,183,183,184,183,182,180,180,180,176,162,165,177,173,171,173,172,170,170,173,150,167,170,176,179,179,181,182,182,182,183,183,180,180,182,181,183,180,164,169,182,170,168,176,170,169,166,155,101,158,173,176,180,180,181,184,185,184,186,188,165,155,162,171,174,168,164,168,171,162,168,183,172,152,130,110,129,171,173,179,180,180,182,185,186,184,183,166,156,163,167,165,168,164,150,124,123,120,126,148,137,131,137,157,175,175,174,179,180,181,183,184,181,188,191,176,177,182,175,163,153,130,124,110,87,89,133,168,170,178,180,179,177,175,175,181,182,183,184,185,178,213,216,198,186,182,175,168,148,111,83,98,85,86,165,185,181,180,178,178,177,176,175,182,182,183,186,188,180,218,213,182,156,138,138,139,134,109,87,97,88,98,179,183,180,180,179,179,179,178,176,183,184,185,186,189,179,204,200,164,127,112,84,91,140,116,94,99,90,108,184,183,181,181,180,179,180,179,178,183,185,186,187,190,176,195,195,157,112,84,64,111,148,118,98,101,90,126,189,184,185,183,182,181,179,178,178,184,186,188,188,191,173,196,198,166,133,96,75,112,112,100,98,96,98,115,189,186,185,184,183,181,180,179,178,185,187,187,188,191,172,195,200,171,139,113,91,64,55,57,70,83,94,96,182,187,185,184,184,183,181,180,179,186,188,188,189,193,168,192,199,171,141,115,105,91,70,63,72,86,89,92,173,189,187,186,185,185,182,181,181,186,188,187,190,193,171,185,195,169,140,115,107,106,89,83,88,94,97,96,172,190,187,187,185,185,184,183,183,186,188,189,190,194,173,183,193,165,137,118,109,108,92,88,93,98,102,104,180,189,188,187,186,186,186,186,184,186,189,189,192,196,179,184,190,162,135,117,108,106,95,92,96,102,102,121,190,190,188,188,188,187,187,186,184,187,189,191,192,196,179,190,188,156,132,116,106,106,103,100,103,109,104,157,194,191,189,189,189,188,186,186,184,188,189,191,193,194,178,196,192,161,136,121,107,105,110,109,111,110,128,189,194,193,192,190,189,189,187,187,186,188,189,192,193,194,175,199,188,167,145,123,108,106,112,112,113,137,182,195,194,193,193,192,191,189,188,186,186,187,188,190,192,190,180,195,180,159,145,124,109,110,110,107,147,192,194,193,193,192,191,189,189,189,188,187,185,186,188,190,193,186,195,195,181,155,137,124,110,109,104,108,174,194,192,192,192,192,190,189,189,188,186,185,185
3,168,170,170,170,170,171,171,171,171,171,171,171,170,169,167,166,164,154,162,162,161,160,158,157,154,152,150,149,171,173,173,173,173,173,174,174,174,174,175,175,173,172,171,170,169,122,144,167,165,163,161,160,158,156,153,152,174,176,177,177,177,178,178,178,178,178,179,179,178,177,175,174,162,104,118,172,168,166,165,164,162,160,157,155,179,180,181,180,181,182,182,183,183,182,181,181,181,181,179,177,160,100,101,173,172,170,169,167,165,163,161,159,183,183,184,185,186,186,186,187,187,186,185,185,184,184,183,181,160,97,94,175,175,173,172,171,169,166,164,162,186,187,187,187,188,190,189,189,189,189,188,188,188,187,186,184,161,101,91,174,178,176,175,174,172,170,167,164,189,190,191,191,191,192,192,193,192,192,192,191,191,190,188,187,169,106,86,175,181,179,177,175,175,173,170,168,192,193,194,194,194,195,195,195,195,195,195,195,194,193,192,188,165,97,86,178,184,182,180,178,178,176,173,171,194,196,197,197,197,197,197,196,196,196,197,197,197,196,195,187,159,108,92,171,187,184,183,181,180,178,176,173,196,196,197,199,199,200,200,199,199,199,200,200,199,199,197,191,171,130,90,158,190,187,186,184,183,181,178,175,197,199,199,200,200,201,202,202,202,202,202,202,201,200,200,193,176,130,81,145,193,189,187,187,184,182,180,177,200,200,201,201,201,202,203,203,203,203,203,204,203,202,199,194,181,133,84,126,195,191,189,188,187,184,182,180,202,202,202,203,202,203,204,205,205,204,205,206,205,199,183,169,159,152,116,142,176,195,192,189,188,186,183,181,203,203,203,204,204,205,206,207,207,207,207,205,195,188,178,133,98,137,150,172,121,161,192,192,190,188,186,183,204,204,205,206,207,207,207,207,208,208,201,182,141,148,173,130,89,102,149,152,88,71,136,193,192,190,187,185,206,206,207,208,208,209,209,209,209,202,190,171,127,106,143,150,108,83,124,133,91,63,76,180,195,191,189,187,206,207,207,208,209,210,209,211,208,193,177,152,142,125,113,155,119,74,80,100,101,70,66,170,197,193,191,189,207,208,208,209,210,210,210,211,205,184,152,115,127,126,95,126,125,77,66,85,117,83,61,159,198,194,191,190,207,208,208,209,211,212,213,213,208,184,161,111,83,102,64,89,115,67,67,86,126,110,64,141,199,195,193,191,206,207,208,209,211,212,213,213,213,187,158,128,97,78,61,82,86,56,82,121,141,124,71,145,201,196,195,192,207,208,209,209,210,211,212,213,214,189,168,156,122,87,84,101,98,93,145,155,140,100,89,184,198,196,194,191,208,209,209,210,211,212,213,213,214,195,164,159,135,105,98,118,160,168,175,147,113,74,137,201,196,195,194,193,208,208,209,211,212,213,213,213,215,203,162,155,138,112,100,111,167,170,155,123,85,75,177,203,200,195,175,146,209,210,210,211,213,213,215,215,216,214,169,140,131,113,105,105,150,154,133,97,67,117,195,180,155,122,81,61,168,172,176,179,184,188,192,194,197,199,182,138,130,122,115,100,122,130,108,72,78,135,108,77,58,49,44,45,105,106,107,108,109,112,113,114,114,115,126,151,134,126,110,90,90,88,67,55,71,67,50,41,43,38,37,35,106,106,107,108,107,107,112,111,111,110,131,171,156,130,102,85,82,78,58,56,58,51,49,35,37,32,30,30,107,108,108,109,108,109,115,113,114,114,143,164,161,137,114,101,89,77,55,54,51,47,41,40,28,27,25,28
14,133,135,137,140,144,146,148,150,150,151,153,155,156,156,158,159,159,158,159,160,160,160,160,160,160,160,159,159,133,136,138,141,145,147,149,150,151,152,155,157,158,158,160,161,161,161,162,162,163,163,162,162,162,161,162,161,134,136,139,142,145,147,150,151,153,154,156,157,159,159,159,162,163,163,164,164,164,165,164,163,163,163,163,163,134,137,140,144,147,148,151,153,153,157,163,160,162,157,147,140,145,156,161,164,166,166,166,165,165,165,164,165,137,141,143,146,148,150,152,153,154,174,178,166,154,139,128,129,126,126,121,126,154,167,166,166,165,166,165,165,138,141,145,148,150,152,153,152,171,193,164,134,117,98,82,96,107,102,86,87,103,163,168,168,167,167,167,167,139,142,144,147,151,152,153,158,200,180,130,93,76,67,65,64,75,79,78,83,78,126,168,166,167,170,169,167,139,142,145,149,151,152,153,181,204,153,109,84,59,55,57,48,55,72,88,87,73,84,114,127,137,170,170,170,142,144,147,150,153,154,157,204,179,123,91,67,53,59,57,49,51,71,95,96,73,82,75,97,115,169,171,172,143,145,148,151,154,153,177,209,156,108,83,57,46,51,51,57,62,137,164,161,134,95,88,97,119,172,171,172,143,146,149,152,154,159,208,201,147,105,88,75,55,40,48,58,93,168,174,174,172,117,113,101,117,174,172,172,143,147,152,155,152,182,221,193,144,103,87,77,61,51,52,66,142,174,173,175,169,116,122,103,99,168,173,172,144,148,153,155,150,193,220,190,142,99,83,71,57,57,58,96,172,174,174,175,166,110,120,106,85,148,176,174,146,150,153,156,149,192,222,191,148,109,81,64,52,54,55,122,177,175,175,177,164,108,116,107,88,135,177,174,146,151,155,157,151,194,222,191,152,119,89,66,54,52,51,130,179,178,177,179,155,120,128,114,95,145,178,175,147,152,156,159,150,199,222,194,158,123,95,75,52,51,50,107,164,171,176,180,142,123,132,118,102,159,179,176,148,152,155,159,150,202,223,197,160,130,106,88,59,55,62,69,90,106,130,153,118,122,130,116,109,169,179,179,149,152,156,160,150,201,220,196,162,136,114,98,71,56,68,72,79,90,100,104,103,122,128,112,116,176,180,179,150,154,159,161,152,199,216,195,165,140,117,100,80,58,71,81,94,104,111,112,99,104,121,108,128,180,180,180,151,156,159,161,152,200,214,195,165,140,115,98,87,66,77,91,106,113,114,113,101,95,106,102,145,182,181,181,153,157,160,161,151,198,208,189,161,136,112,98,90,76,82,95,108,113,113,112,104,99,102,100,160,183,181,181,154,158,161,163,154,193,201,182,158,134,114,103,94,86,90,99,106,110,109,107,105,103,102,126,177,182,182,182,154,157,162,163,159,196,201,182,160,137,121,110,99,92,95,102,106,109,106,104,106,107,136,173,184,185,184,182,155,158,162,164,162,203,204,184,163,138,121,107,100,96,96,103,106,109,106,107,106,144,180,185,185,186,184,185,155,159,164,166,160,206,205,187,165,137,115,102,102,102,99,104,108,110,108,105,129,179,186,185,186,186,184,185,156,161,164,165,161,207,199,182,161,133,110,103,105,104,103,108,112,110,106,128,174,186,186,186,186,186,184,185,158,162,164,166,163,204,197,182,163,135,108,103,104,102,101,106,110,108,134,178,186,187,187,187,187,187,186,185,159,162,164,166,168,201,198,185,171,145,108,101,101,101,101,104,106,128,176,188,188,187,187,187,187,187,187,187
21,171,171,171,172,173,173,173,173,172,173,174,170,173,172,169,169,168,167,167,165,164,163,161,158,158,156,152,150,173,174,174,175,177,178,177,177,177,174,184,165,129,175,173,172,172,170,170,169,167,165,164,162,160,159,155,153,177,178,178,179,180,180,180,181,181,179,182,180,118,145,184,177,177,175,173,173,171,169,168,165,167,162,159,158,180,180,181,181,182,182,183,184,184,184,182,183,145,105,185,180,180,180,177,176,174,172,174,154,130,168,163,161,183,183,184,185,185,185,186,187,187,186,185,188,164,85,165,188,181,182,180,180,178,174,180,149,91,164,168,164,186,186,186,187,188,188,188,189,188,187,188,188,181,106,133,195,183,184,182,182,180,176,188,134,95,172,170,166,188,188,190,189,190,191,192,191,190,189,191,192,195,135,108,191,187,186,185,184,182,184,179,114,111,183,170,169,190,192,193,193,193,193,193,193,193,193,194,194,203,149,92,178,193,187,187,187,183,193,172,98,139,184,172,171,193,194,195,196,196,196,195,196,195,196,197,194,208,168,99,157,199,189,189,187,189,191,155,94,168,182,175,173,196,197,198,199,199,200,199,199,198,199,199,195,204,190,125,137,202,190,192,190,192,175,121,107,188,179,179,175,199,200,200,200,201,201,200,200,201,201,201,200,196,194,149,119,197,194,193,195,194,168,86,144,192,182,181,178,200,201,202,201,202,203,202,201,201,202,202,203,178,155,146,106,187,199,194,201,193,146,94,188,188,184,182,180,201,202,204,203,202,202,203,203,203,203,205,201,198,187,167,121,173,210,197,201,178,110,132,201,186,187,184,182,203,204,205,206,205,205,206,206,206,206,209,196,181,210,198,165,127,175,188,175,149,90,174,198,191,188,186,185,206,208,207,208,208,207,207,207,208,208,209,201,156,139,191,168,148,106,138,149,104,103,202,194,193,189,188,186,207,207,208,208,208,209,208,208,209,208,209,203,159,73,80,176,169,91,74,101,75,125,209,194,193,192,190,188,208,208,208,209,209,209,210,210,211,210,212,209,170,131,86,125,154,91,84,74,61,139,211,196,195,194,192,189,209,210,210,211,212,211,210,211,211,212,207,188,189,179,140,87,138,116,95,106,65,150,211,198,198,196,193,191,211,211,211,213,214,214,214,214,214,215,196,195,196,183,166,143,105,130,110,119,60,128,214,198,199,196,195,192,212,213,213,214,215,215,215,216,217,212,197,187,145,154,182,164,126,86,112,98,60,81,210,200,200,198,196,194,211,213,213,214,214,215,214,215,216,213,198,187,142,77,116,162,122,54,81,121,85,48,149,212,199,200,196,193,212,213,214,215,214,215,215,215,216,212,199,182,147,113,63,106,93,62,69,129,116,55,101,213,195,196,199,201,212,214,215,215,216,215,215,216,217,215,193,183,174,130,80,104,128,71,98,148,128,55,123,214,201,204,178,129,211,213,214,215,216,215,215,216,216,215,189,184,184,124,102,130,207,161,143,147,97,49,180,205,169,117,65,42,221,220,221,223,222,221,221,221,222,220,193,189,167,146,99,132,202,189,151,123,84,58,130,88,60,40,41,48,173,177,182,186,191,194,197,201,205,208,190,176,162,139,89,125,183,163,136,111,83,51,44,45,53,31,41,50,102,102,102,102,106,107,106,108,109,104,140,176,165,131,97,124,179,159,122,90,64,45,46,39,51,23,30,54,111,111,111,111,110,114,114,111,115,106,126,181,162,133,110,109,161,143,103,72,46,39,39,32,41,18,25,51
24,205,208,209,210,211,212,213,213,213,214,214,216,215,216,215,214,214,214,214,213,213,211,210,209,138,50,35,25,209,211,212,213,214,215,216,217,216,216,218,218,217,217,217,218,217,217,217,217,216,215,214,214,129,35,44,45,212,212,215,216,217,218,219,219,219,220,221,220,221,221,221,220,220,220,220,220,219,218,215,222,160,46,55,65,212,215,217,218,219,220,221,222,222,224,223,224,224,224,223,224,225,224,224,223,222,220,218,220,210,73,53,56,215,217,218,221,221,222,225,224,225,226,225,226,226,226,226,227,227,226,225,224,224,224,222,217,226,136,46,43,218,220,221,223,224,224,226,227,227,227,227,227,228,227,228,228,229,230,229,228,227,227,226,223,228,195,54,33,219,222,224,224,224,226,228,227,228,229,229,228,230,230,231,230,232,232,230,230,230,227,228,227,224,231,82,23,220,223,225,225,231,230,227,229,231,232,231,232,233,233,233,232,233,234,232,233,234,230,230,229,226,235,163,138,222,224,226,230,199,225,233,232,233,233,232,233,234,233,234,234,234,235,234,234,234,233,232,232,228,236,170,191,224,225,227,234,163,175,243,230,234,234,234,234,234,235,236,235,236,237,236,234,235,235,234,233,231,236,181,219,226,227,229,231,180,122,230,234,234,235,235,234,236,236,236,236,238,237,238,241,236,237,235,235,233,233,219,192,226,228,231,234,209,119,174,248,233,236,236,237,237,241,239,238,243,247,222,214,242,236,236,236,236,235,241,187,227,230,232,234,224,172,120,226,243,236,239,240,236,226,238,244,205,242,225,142,195,248,237,236,234,224,202,187,228,233,234,234,235,213,139,144,243,240,237,242,245,192,199,253,161,158,242,154,150,250,238,235,237,207,149,125,228,232,233,233,236,226,192,151,176,245,237,243,255,227,183,212,192,138,236,175,155,248,238,240,244,174,119,140,227,230,232,231,234,234,214,184,157,195,240,241,255,255,198,160,224,148,210,192,163,251,230,251,219,121,177,244,228,230,233,233,234,235,229,203,187,205,211,223,214,255,223,145,194,171,196,213,143,200,212,243,166,137,243,233,228,230,233,235,235,236,238,232,234,230,198,185,171,216,237,159,133,181,192,228,130,134,219,208,133,210,242,232,226,230,232,232,233,234,237,239,254,217,186,163,136,148,227,173,105,196,181,243,155,167,216,159,153,247,234,235,234,238,241,241,243,243,245,244,251,250,217,167,144,156,186,194,116,192,194,156,181,204,196,122,185,247,234,236,171,178,179,185,190,195,200,203,207,255,255,229,164,145,176,198,147,156,218,152,248,202,170,132,240,251,244,239,108,108,108,112,112,109,113,115,102,231,255,255,234,157,162,213,202,180,221,242,228,172,154,125,159,155,168,197,120,118,120,121,119,119,120,124,106,182,255,247,255,203,161,176,255,255,255,253,199,161,135,119,147,187,216,241,120,117,117,117,118,121,119,121,118,131,248,244,255,237,186,162,200,255,255,223,188,141,129,233,255,250,246,251,117,116,117,116,117,119,119,120,124,113,176,255,255,248,200,173,175,243,241,204,179,119,162,227,219,240,236,235,116,117,119,116,117,118,118,120,121,120,118,240,245,219,178,158,168,204,213,183,143,114,219,217,186,206,224,224,115,115,116,117,118,119,117,118,119,123,107,199,237,185,178,171,172,189,197,166,119,129,210,233,173,160,195,220,115,115,116,116,118,122,116,116,118,121,109,171,245,212,212,197,184,190,194,155,107,140,203,227,188,146,187,207
3,132,133,133,132,133,133,133,135,133,132,132,130,129,129,129,128,128,126,123,121,119,117,116,114,113,112,111,108,133,133,135,135,135,135,134,136,134,133,134,131,130,130,129,128,121,125,124,122,120,118,116,116,114,112,111,108,136,135,136,136,137,136,136,136,136,135,134,132,132,131,126,146,78,101,130,122,122,120,118,116,114,113,112,111,138,137,138,138,137,138,137,137,137,136,136,136,133,130,137,140,53,104,132,123,122,121,121,119,116,114,113,112,139,139,141,142,139,139,139,139,139,138,138,137,137,130,157,108,50,126,131,126,124,122,122,120,119,116,113,113,143,142,143,144,143,143,142,141,141,140,139,139,135,145,158,68,80,138,129,130,129,127,124,123,121,119,116,114,144,144,145,146,145,145,145,145,144,141,142,142,135,169,138,53,108,142,133,133,131,130,126,124,122,121,119,117,145,146,148,149,147,148,148,147,146,144,145,140,157,161,100,53,132,142,138,136,132,130,129,127,125,123,120,120,148,151,151,151,151,150,149,150,149,148,148,145,165,138,58,86,138,126,134,136,138,133,130,129,127,126,125,121,151,153,154,154,154,152,154,152,152,151,149,147,158,143,102,113,134,126,135,126,119,134,135,129,131,130,128,125,152,154,155,156,155,154,155,154,154,153,151,151,161,168,148,116,116,118,121,136,116,78,130,138,124,126,131,128,155,156,157,157,156,157,156,156,156,155,154,151,182,155,128,132,121,97,91,76,105,87,71,103,109,80,122,133,159,159,158,158,158,160,159,158,157,158,153,165,186,158,135,119,101,84,57,59,35,95,95,66,79,72,128,133,160,160,160,160,160,161,161,159,160,158,161,190,174,122,72,59,94,84,66,58,43,41,79,57,45,122,138,133,162,163,163,163,162,163,162,162,161,159,184,192,130,76,38,19,111,141,85,61,50,46,27,41,82,145,135,135,164,163,165,164,164,164,164,165,160,173,201,164,88,50,33,22,55,162,154,130,79,42,49,48,104,146,137,136,164,166,167,165,167,167,166,167,153,189,196,140,84,56,28,20,13,67,150,178,100,36,62,54,128,146,138,137,167,168,168,168,168,168,168,170,153,180,178,142,84,40,24,17,22,14,47,99,45,60,68,68,143,145,141,139,169,169,169,169,169,168,169,171,158,171,187,153,95,51,25,23,28,40,41,37,38,72,68,79,150,145,142,139,170,171,171,172,171,171,171,172,157,168,195,155,111,68,35,29,41,50,61,75,66,69,67,92,155,145,143,142,171,172,172,173,172,173,172,174,157,164,202,164,117,77,53,31,45,62,82,91,80,65,55,108,157,146,146,145,172,173,174,174,173,174,173,176,158,158,205,167,122,91,71,36,46,78,94,94,83,61,72,145,153,148,147,146,173,172,174,175,176,176,176,178,161,152,196,163,130,96,75,45,48,80,87,82,73,64,136,161,152,151,148,146,174,174,177,177,176,175,176,178,164,151,194,168,135,98,71,52,51,73,79,75,61,87,160,156,154,152,151,148,176,177,177,178,179,178,178,180,170,149,185,167,134,96,72,62,55,69,75,71,63,132,163,156,155,155,152,150,176,177,178,178,178,179,179,180,172,160,185,158,128,97,80,71,58,65,70,66,116,165,160,159,156,154,152,150,177,178,178,178,178,178,178,180,172,159,189,158,132,105,87,72,64,66,69,111,167,162,162,159,157,155,152,150,177,179,178,178,179,179,180,181,170,157,182,150,128,105,79,70,70,66,92,165,167,164,163,161,160,158,153,151
8,204,204,204,205,205,203,210,173,140,207,203,204,204,203,202,199,199,199,197,195,194,192,191,190,188,187,186,184,206,205,205,205,205,205,203,146,91,206,206,205,205,206,205,203,203,201,200,199,197,196,195,193,191,190,188,186,208,207,207,208,208,210,192,115,104,219,207,208,208,207,207,206,204,205,203,201,200,199,197,195,193,192,190,189,211,210,210,211,211,206,177,81,148,224,208,210,211,211,210,208,206,207,206,204,202,201,200,198,197,195,194,192,212,212,211,212,213,207,154,65,197,217,211,211,211,212,212,209,210,210,207,206,204,204,203,201,199,197,197,193,213,213,213,214,214,207,149,76,210,216,215,218,220,214,213,211,210,212,210,208,207,206,205,204,203,200,198,196,216,215,214,215,215,204,136,83,218,218,216,188,172,220,218,216,218,212,212,209,204,209,205,206,205,202,201,199,217,217,217,218,218,197,126,75,216,221,201,164,106,142,172,129,181,222,212,214,157,187,213,206,207,205,203,201,219,219,220,219,219,200,169,90,189,221,197,186,147,78,120,113,91,178,139,158,166,125,225,208,208,207,205,203,219,220,220,220,221,204,191,117,163,219,195,205,161,95,91,121,96,159,126,92,169,123,158,226,209,208,206,204,221,221,221,221,222,212,184,145,149,182,189,209,168,101,74,96,133,165,114,73,148,160,90,162,216,210,207,205,222,224,223,222,223,216,195,185,162,160,141,189,170,114,67,67,144,151,96,56,111,180,136,81,164,222,207,206,224,226,224,224,225,216,211,178,147,137,134,152,180,118,57,61,150,134,88,37,108,195,147,67,155,225,208,207,225,226,227,225,227,218,196,148,116,97,98,116,197,156,83,68,151,117,63,19,157,197,117,71,211,214,210,209,227,227,227,227,228,215,200,170,136,91,77,58,178,212,129,74,153,104,36,69,171,171,76,139,229,211,213,211,227,228,227,228,228,208,202,186,138,83,78,71,166,198,131,82,124,111,125,134,174,122,67,206,221,215,213,212,228,228,228,229,227,202,208,187,134,97,74,93,199,148,68,99,133,147,154,112,133,76,100,234,215,218,215,212,228,229,230,230,227,207,209,179,147,105,84,109,176,164,161,188,180,154,142,89,86,42,172,230,217,218,216,213,229,229,230,230,226,208,206,187,150,100,96,154,206,207,220,203,172,149,122,75,35,123,232,220,220,218,218,216,229,228,229,230,226,199,206,196,149,105,121,191,213,213,214,188,160,134,103,38,106,234,224,223,222,220,218,217,228,228,230,230,227,201,197,191,159,116,142,200,207,223,206,172,146,120,55,87,230,225,222,221,220,219,217,214,229,230,230,231,231,207,199,189,162,117,150,194,190,197,177,152,128,72,69,220,227,221,220,221,220,219,216,213,231,230,230,231,230,208,201,193,157,129,149,189,176,171,140,120,76,53,205,233,222,224,222,222,220,219,217,214,230,230,230,231,228,209,197,182,163,147,147,183,168,150,123,71,43,190,239,225,228,227,222,221,218,218,216,218,229,229,228,231,221,206,193,186,182,159,147,171,153,124,85,43,182,239,226,229,227,226,222,222,223,225,230,202,235,238,239,242,211,202,197,197,180,158,159,169,135,91,41,163,250,228,232,230,229,234,235,225,209,189,143,84,151,157,162,165,181,211,208,200,178,160,161,151,111,60,74,215,213,217,217,219,219,192,142,103,70,55,36,36,97,98,100,92,168,219,205,187,169,163,141,127,96,51,71,106,111,116,116,117,100,65,36,36,30,29,36,29
24,207,207,207,207,207,208,208,208,208,207,207,207,206,205,204,203,202,201,199,199,197,196,195,194,192,190,189,187,209,209,209,210,210,211,210,209,210,210,209,209,209,207,207,206,204,203,201,204,201,199,198,197,195,194,191,189,212,213,213,214,213,213,213,211,212,213,213,213,211,210,209,208,208,207,204,177,196,204,201,200,198,196,193,191,214,214,215,214,215,215,214,215,214,215,215,214,214,212,211,211,210,209,211,150,163,211,201,201,199,198,196,194,217,217,216,217,217,219,221,216,216,216,215,215,215,215,214,213,212,212,216,151,157,213,203,204,201,200,198,197,220,220,219,220,223,199,202,223,218,219,219,218,217,216,215,215,213,216,216,148,161,217,207,207,205,203,201,200,221,221,222,222,221,180,144,218,223,222,222,221,221,220,219,218,215,222,214,142,174,218,208,209,207,205,203,203,223,223,222,223,222,190,137,182,232,222,224,224,223,221,221,220,216,228,210,142,188,219,210,210,208,206,205,203,225,225,224,224,228,207,154,152,234,223,225,226,224,222,222,222,224,228,190,134,203,218,213,212,210,209,207,205,227,227,227,226,229,219,172,130,223,228,226,226,229,227,225,217,220,231,172,130,218,217,215,216,213,211,209,207,228,228,228,227,228,226,197,133,191,237,227,228,207,208,227,199,150,180,167,153,228,217,218,216,213,213,211,209,229,229,230,229,229,230,208,149,150,239,229,215,191,172,184,179,148,129,138,178,230,219,220,218,215,215,213,211,231,232,232,232,231,235,213,170,129,220,229,210,205,182,173,163,185,157,102,201,229,221,221,220,218,217,215,212,233,233,233,233,233,235,222,200,147,178,214,206,213,180,183,182,188,152,111,219,227,223,222,222,220,217,216,214,234,235,235,234,233,234,230,216,161,141,174,182,228,183,150,153,176,171,117,205,233,226,224,222,221,219,217,216,235,235,236,235,236,237,237,219,190,175,161,160,210,189,122,100,194,189,128,158,240,224,226,224,223,222,219,216,236,237,236,237,237,238,238,223,226,187,145,124,191,170,118,95,175,206,168,116,211,231,226,226,225,223,221,218,238,238,239,239,239,238,240,228,220,167,144,127,185,159,111,129,219,220,194,117,167,239,224,226,226,223,221,220,239,240,240,240,241,241,242,234,218,195,187,143,181,180,129,198,230,212,176,113,173,239,225,227,226,224,222,221,240,241,242,242,242,243,243,238,221,218,195,151,166,157,180,241,218,198,163,102,197,238,227,228,227,225,223,222,240,241,242,242,242,241,244,239,214,227,205,179,145,161,232,236,214,187,156,110,217,236,229,229,227,227,225,223,241,241,240,241,242,242,243,241,218,215,207,193,153,170,233,225,206,182,142,117,228,233,229,228,227,226,224,222,242,242,242,243,243,244,243,244,218,206,205,203,171,161,225,225,197,170,126,128,238,231,230,228,227,225,222,220,243,243,243,244,244,245,244,248,224,208,208,205,194,157,213,222,189,155,106,160,245,230,231,229,228,224,225,228,242,243,244,243,243,244,244,246,237,214,213,204,204,148,184,203,163,132,91,200,241,230,231,229,229,236,217,182,248,249,250,250,250,253,252,253,250,218,217,205,191,155,155,176,147,112,108,234,237,234,236,239,227,193,129,95,184,187,192,197,199,203,206,210,212,223,215,196,184,174,148,169,152,96,163,242,230,230,216,175,129,96,89,89,141,142,143,143,141,141,141,137,150,225,220,208,203,183,161,170,140,102,138,152,148,139,117,92,91,95,89,87
21,171,174,175,176,176,176,176,178,178,178,179,180,177,168,177,178,178,178,177,176,175,174,173,172,165,89,23,12,175,176,177,178,179,179,179,180,181,180,180,183,188,139,167,181,180,180,180,178,178,177,176,176,149,76,32,20,177,179,179,181,182,182,182,182,183,183,183,186,191,129,153,185,183,183,183,173,157,179,179,179,146,59,34,34,180,181,182,183,184,185,185,185,185,186,186,189,194,129,140,188,187,186,189,172,119,176,181,181,154,72,44,50,182,183,184,186,187,187,187,188,188,188,188,191,200,136,132,189,189,188,194,168,111,177,184,183,175,93,46,49,184,185,186,188,188,189,190,190,189,190,190,192,208,150,131,190,192,190,198,162,115,179,187,186,183,126,51,41,185,187,188,190,191,191,192,192,192,192,193,194,213,160,131,189,194,194,203,161,121,181,188,187,188,161,61,33,187,189,191,192,193,193,193,194,194,194,194,194,215,169,134,182,197,196,209,166,126,186,191,190,189,183,87,45,189,192,192,193,194,195,195,195,195,195,197,196,220,184,142,172,199,200,211,166,126,188,193,192,190,190,140,134,191,192,194,195,195,195,196,197,197,197,198,197,218,197,145,167,200,206,215,163,125,191,195,194,192,190,149,178,192,194,195,197,197,198,199,199,199,199,201,192,196,198,144,163,202,212,208,154,131,196,197,196,194,191,166,185,193,194,195,197,198,199,200,200,201,201,216,196,168,173,151,146,199,213,194,144,142,200,198,198,197,195,183,151,194,195,197,198,199,200,200,201,201,203,223,218,189,150,166,113,166,200,182,135,156,203,200,199,199,198,189,144,195,196,197,199,200,200,201,201,202,204,206,221,211,175,175,117,110,154,154,122,171,204,202,200,199,199,195,176,196,197,198,200,201,201,202,202,202,203,185,181,215,183,170,153,120,108,117,103,176,205,202,201,200,200,200,194,196,197,199,201,201,201,203,204,204,203,206,180,192,182,149,174,159,112,92,92,172,207,204,202,202,201,200,198,196,197,198,199,201,201,203,203,207,210,221,184,137,162,137,156,167,128,87,86,171,207,205,203,202,202,200,199,196,197,198,198,200,201,202,204,218,220,206,153,104,115,150,132,160,151,105,83,175,206,204,202,202,201,200,199,196,198,199,199,200,201,202,207,221,196,174,157,116,80,119,105,147,179,130,92,181,206,204,203,202,201,200,199,197,199,200,200,201,202,204,207,218,191,164,166,127,85,75,124,168,199,158,106,156,206,205,204,202,201,200,200,197,199,200,201,201,203,204,206,216,200,177,164,150,107,100,191,194,197,172,126,122,203,206,204,203,201,201,201,197,199,201,202,202,203,205,207,217,214,181,136,152,126,149,219,207,189,163,131,131,205,207,206,204,202,201,201,145,148,152,155,158,163,166,173,216,217,180,132,152,146,193,226,201,180,147,111,138,202,202,203,202,200,199,199,99,100,101,102,101,102,102,110,203,219,178,149,162,160,220,222,196,171,140,103,110,131,132,135,141,154,176,194,102,103,102,102,101,102,103,105,188,216,184,172,178,168,226,221,191,162,128,101,102,107,123,148,172,192,206,215,102,103,102,102,103,103,104,102,158,215,202,195,187,159,211,209,174,146,111,104,163,181,190,201,207,205,208,219,102,102,101,102,103,103,103,103,123,203,210,199,182,153,182,191,151,119,97,113,200,206,189,181,192,201,201,208,101,101,101,102,104,103,103,104,107,188,204,184,163,141,148,167,132,103,93,123,168,184,196,166,164,181,196,205
4,122,127,132,135,138,142,145,148,150,152,154,157,159,161,163,164,165,166,167,169,170,171,172,173,173,173,174,174,122,127,132,136,139,142,145,148,150,152,154,157,159,162,163,164,165,166,168,169,171,172,173,174,174,174,174,175,124,128,133,137,141,144,146,149,151,153,155,158,160,162,164,167,163,154,157,165,165,168,173,175,175,175,175,175,125,130,134,138,142,145,148,150,152,155,154,159,166,158,152,170,159,126,114,137,139,137,162,176,176,177,177,177,125,130,134,138,142,146,149,150,158,167,156,148,154,147,126,147,149,111,84,109,121,104,129,172,178,178,179,179,125,130,135,139,143,147,150,153,172,184,169,142,119,112,105,129,143,105,84,117,119,90,100,165,180,180,180,180,127,131,136,140,144,148,149,158,180,172,167,133,99,81,87,126,148,114,113,132,110,75,86,160,180,180,181,181,128,132,137,140,144,148,149,165,175,155,156,117,83,76,83,112,140,140,145,138,112,75,94,165,181,182,182,183,128,133,137,142,146,148,152,174,174,153,149,112,78,89,108,119,139,148,143,145,133,106,113,171,183,183,184,185,127,133,138,142,146,149,156,180,168,149,138,109,72,101,141,139,138,132,130,156,152,135,126,160,181,184,186,186,128,134,139,143,147,150,164,179,153,129,113,89,59,77,116,120,116,104,118,160,165,154,132,130,168,185,187,187,128,134,139,144,148,152,175,180,152,127,106,81,59,56,70,82,91,107,133,157,165,157,138,116,135,178,187,188,129,134,140,145,149,157,187,182,156,134,111,88,69,61,69,89,123,158,164,158,152,139,131,117,109,161,188,189,130,136,140,145,149,165,196,184,162,138,111,92,78,80,113,150,176,183,169,154,138,120,114,109,103,154,189,190,131,136,141,145,150,176,204,187,162,136,116,103,92,117,160,183,189,184,166,146,126,107,98,97,112,169,189,190,132,137,142,146,152,187,207,186,160,140,128,116,118,152,176,184,185,176,157,136,116,99,89,95,141,184,190,191,132,137,142,147,154,191,207,184,165,153,142,131,145,168,179,181,176,164,145,125,108,93,86,115,171,189,192,193,133,137,143,148,155,193,207,189,175,163,149,143,160,173,179,175,163,149,132,114,100,88,95,152,187,191,193,194,134,138,143,147,154,189,207,195,181,166,149,142,157,170,171,164,149,136,120,104,92,87,125,180,192,192,194,195,134,139,144,148,152,181,203,193,179,164,145,136,149,160,160,152,137,125,110,95,86,105,163,191,193,193,194,195,135,140,145,149,153,174,196,183,168,155,141,139,147,156,155,144,127,114,100,87,95,148,187,194,194,195,195,195,136,140,145,150,153,170,188,172,161,152,147,147,144,147,147,136,119,105,91,89,133,181,193,194,195,196,196,196,136,140,145,151,154,169,185,170,165,160,160,155,141,137,138,126,109,97,86,115,172,191,194,195,196,196,196,197,137,141,146,151,159,176,185,175,170,166,160,150,133,125,127,117,101,89,95,154,188,193,195,196,196,197,197,197,137,141,146,154,177,188,177,165,168,167,154,139,125,115,116,108,95,83,118,179,192,194,195,196,197,197,197,198,138,142,147,167,190,191,182,152,144,155,144,131,118,106,104,100,90,80,131,187,193,194,196,196,197,197,198,199,138,143,155,183,191,191,190,174,137,125,126,123,110,95,97,93,85,80,137,189,193,195,196,197,198,198,199,199,139,144,169,192,189,190,191,187,166,118,104,112,102,91,93,89,82,79,140,190,194,195,196,198,199,199,200,200
19,194,197,199,199,199,202,202,201,201,203,202,202,202,202,201,199,203,201,197,198,198,197,197,197,195,196,195,194,197,198,199,200,201,202,203,203,203,204,203,204,203,202,202,196,169,187,203,198,199,199,199,198,197,196,196,195,198,199,200,202,202,203,204,205,204,204,204,205,206,202,214,194,151,139,206,201,201,200,199,199,198,197,197,197,199,200,202,204,204,205,206,206,207,205,205,207,205,207,221,195,165,125,197,204,203,202,201,202,199,198,199,199,199,202,204,205,205,206,207,207,207,206,207,208,205,212,219,190,161,121,197,206,203,204,201,200,202,200,199,200,201,203,204,205,206,208,209,208,207,207,207,209,205,216,215,173,145,115,194,203,200,196,200,218,189,198,202,201,202,204,205,207,207,209,209,209,209,209,209,208,205,214,211,179,173,185,206,196,205,201,211,245,158,191,203,201,203,204,207,210,209,210,210,210,210,210,208,211,214,213,206,204,211,224,217,201,199,200,181,161,162,204,203,203,205,206,208,210,211,212,211,210,208,214,222,231,233,224,207,189,183,177,174,157,149,148,155,175,204,204,203,204,207,208,209,210,212,212,214,216,216,228,232,229,221,209,204,201,192,137,136,162,183,193,208,212,206,207,205,204,209,209,210,212,212,217,231,224,222,218,220,219,217,217,214,213,204,136,168,221,212,211,208,207,207,207,206,205,210,210,211,213,210,226,239,227,220,219,225,227,229,221,214,208,183,128,146,219,207,209,209,208,208,208,207,205,210,211,213,215,212,225,235,217,212,222,229,230,220,213,214,216,201,132,119,210,211,210,209,208,208,209,208,206,210,212,214,216,214,226,225,212,213,216,211,210,215,223,215,217,210,138,104,182,217,209,210,210,208,209,208,208,212,214,215,216,216,231,213,215,216,207,197,219,222,213,207,207,184,134,103,158,222,211,212,211,209,209,209,209,214,214,215,217,218,225,222,225,223,224,228,228,217,210,203,192,166,126,102,140,223,212,213,212,211,210,210,209,214,216,217,219,219,219,240,231,223,224,225,215,203,197,207,217,210,146,93,165,223,213,214,213,211,211,210,210,216,216,218,220,221,217,237,235,218,213,199,171,194,225,223,212,210,152,117,214,217,216,214,215,213,213,212,211,216,218,220,220,222,218,221,229,216,212,203,210,229,221,202,191,184,139,112,207,219,216,216,216,215,214,214,213,216,218,220,221,222,221,219,226,234,228,221,223,217,203,193,180,162,121,119,216,218,216,217,217,217,216,214,213,218,220,221,222,223,223,220,223,234,222,208,211,204,191,171,142,116,124,199,222,217,218,217,217,217,217,216,215,219,221,222,222,225,226,217,223,225,215,199,194,175,156,131,108,93,189,231,218,219,218,218,219,217,217,216,216,219,222,223,224,225,227,218,221,221,209,190,179,164,140,120,109,140,229,219,221,220,220,220,220,218,217,216,216,219,221,223,226,226,227,218,212,217,205,183,174,172,140,120,111,152,232,221,222,222,222,222,221,220,218,218,216,219,221,223,226,226,228,218,208,209,203,180,165,144,126,121,115,121,223,224,223,222,222,222,221,221,219,218,217,219,221,222,224,225,228,217,207,201,202,192,175,146,129,124,116,119,220,224,222,222,221,221,220,220,218,216,215,220,221,223,224,225,229,210,210,207,198,187,176,149,130,123,114,127,225,222,223,222,221,220,220,220,218,217,216,220,221,223,225,225,230,205,217,223,211,184,159,138,124,122,108,164,231,222,223,222,221,221,222,221,219,217,216
21,171,173,175,176,175,175,176,178,177,178,179,180,176,169,179,177,178,178,176,175,174,174,173,171,174,90,16,12,175,176,177,178,179,179,179,180,181,181,179,183,195,129,168,183,179,180,180,179,181,176,175,178,153,75,29,19,177,179,179,182,182,182,182,182,183,183,182,185,201,118,151,190,182,183,184,172,155,183,178,182,150,49,32,34,180,181,182,182,184,186,185,185,186,186,186,189,203,119,135,196,185,185,192,176,105,181,180,184,159,67,42,54,182,182,185,186,187,187,187,188,188,188,188,190,209,127,125,197,187,186,199,171,99,183,184,182,186,89,40,52,184,185,186,188,188,189,190,190,189,190,190,190,217,145,124,197,191,188,202,163,104,184,188,184,189,126,43,43,185,187,188,190,191,191,192,192,192,192,193,191,221,158,123,195,195,192,208,161,111,187,189,186,191,170,52,30,187,189,191,192,193,193,193,194,194,194,194,191,220,169,125,185,199,194,215,166,117,192,191,190,188,193,81,32,189,192,192,193,194,195,195,195,195,194,197,193,225,188,134,171,203,197,216,165,117,194,193,192,189,196,142,136,191,192,193,195,195,195,196,197,197,197,198,195,225,203,137,165,205,204,223,162,115,198,194,194,192,194,142,184,192,194,195,197,197,198,199,199,199,199,201,188,197,211,131,164,206,211,216,150,123,204,196,195,194,193,163,191,193,194,195,197,199,199,200,200,201,199,220,195,160,175,148,143,207,215,198,137,136,208,197,198,197,196,187,144,194,195,198,198,199,200,200,200,202,200,228,222,189,139,176,97,171,209,187,127,153,211,199,199,199,199,192,136,194,196,197,199,200,200,201,201,201,205,203,229,215,173,182,109,97,160,160,113,173,209,201,200,199,200,196,175,196,197,198,200,201,201,202,202,202,207,179,171,226,180,172,157,115,101,120,93,181,209,201,201,200,200,200,195,196,197,199,201,201,201,203,204,204,201,210,174,198,186,141,182,165,109,90,84,175,212,202,202,202,200,200,199,196,197,198,199,201,201,203,203,206,208,229,191,125,173,128,155,175,127,83,77,175,212,204,203,202,202,200,199,196,198,198,197,200,201,202,202,219,224,212,150,92,111,164,128,164,154,104,71,179,210,203,202,202,201,200,199,196,197,198,199,200,202,201,207,226,193,171,160,117,67,129,92,143,190,127,79,192,209,203,203,202,200,200,199,197,199,200,200,201,203,203,206,222,189,159,171,126,83,60,120,169,207,161,93,158,213,203,204,202,201,200,200,196,198,199,199,200,202,202,203,218,200,176,166,157,103,88,207,194,199,179,123,109,211,205,204,203,201,200,201,203,205,206,207,207,208,210,211,219,218,184,128,159,121,145,230,208,189,166,130,124,212,205,205,203,201,201,201,145,148,153,156,160,164,168,172,219,221,181,123,155,139,196,233,198,181,149,101,139,219,208,211,210,206,201,199,93,94,96,95,95,95,95,95,210,226,175,145,165,153,227,224,194,172,143,98,109,130,125,125,132,145,172,193,104,105,104,103,103,103,105,97,193,224,179,171,180,162,235,222,192,164,127,100,93,96,114,144,170,193,209,218,102,103,101,102,104,103,106,94,158,226,200,196,191,150,217,213,173,148,109,97,170,188,197,212,214,207,209,221,102,102,101,102,104,103,104,101,115,211,212,200,187,147,183,198,149,118,93,106,216,212,185,176,193,202,200,207,102,101,101,102,104,103,103,106,97,192,207,182,162,136,143,171,128,101,88,124,167,180,202,161,159,180,195,206
4,141,149,157,160,163,169,172,175,179,181,184,187,190,192,195,197,197,197,200,204,203,204,207,207,207,207,208,209,143,150,157,161,164,168,173,176,179,182,183,187,191,195,194,194,199,203,201,201,207,205,208,208,209,208,209,209,144,152,158,162,167,171,174,177,179,183,185,190,186,195,199,200,195,186,200,206,203,211,210,209,211,210,210,210,146,154,158,163,168,173,176,178,181,183,180,196,209,186,176,226,199,136,112,179,159,150,211,212,211,212,213,213,147,155,159,164,169,174,179,177,181,206,178,165,198,195,123,181,188,130,71,116,152,95,145,224,210,214,214,214,146,154,159,164,170,176,181,174,208,242,210,171,124,136,114,144,185,115,64,153,153,100,88,221,216,216,217,217,147,156,162,165,171,176,178,178,237,199,213,160,114,77,86,161,206,109,124,179,125,72,69,212,217,215,218,217,151,156,162,166,171,177,172,196,223,161,206,125,85,82,78,125,172,166,193,163,133,57,88,220,216,218,219,219,150,157,163,168,174,179,171,216,216,173,193,128,77,102,123,128,167,190,164,173,165,118,115,232,217,220,222,221,147,157,164,170,173,179,176,234,205,182,172,146,56,131,204,174,171,163,142,201,181,164,132,207,224,220,224,225,150,159,165,170,175,176,191,229,174,143,128,103,46,76,159,147,146,104,116,212,202,193,150,127,222,225,225,225,149,158,166,170,178,171,214,229,176,145,122,86,59,49,64,84,85,101,155,186,205,196,173,117,148,235,223,226,150,159,166,172,179,175,241,221,182,162,132,103,77,64,65,76,135,215,207,189,184,162,160,146,96,202,233,226,152,161,166,174,174,186,253,219,198,168,126,103,85,76,128,196,231,229,201,183,164,133,134,137,94,183,238,226,154,162,167,174,170,210,255,224,196,157,130,124,92,129,213,232,230,227,198,173,150,120,108,111,105,220,230,228,154,162,170,175,171,230,255,223,186,159,153,134,123,197,216,220,226,214,189,161,137,111,103,87,170,239,226,229,155,161,168,177,169,238,255,215,193,185,173,146,175,207,215,220,213,199,173,146,125,107,89,115,228,227,231,232,156,163,169,179,172,243,255,224,210,199,177,166,199,209,220,214,193,179,154,133,116,100,82,196,237,227,233,234,157,164,171,176,171,233,255,235,220,199,176,162,190,208,207,198,177,162,141,120,110,81,138,241,229,230,235,235,157,165,171,177,172,219,255,232,219,199,170,151,178,192,190,180,161,149,128,109,93,94,217,236,231,231,234,234,159,166,172,179,177,204,250,219,198,184,162,160,176,190,188,173,147,133,115,99,79,190,239,232,234,235,235,235,160,166,173,180,179,201,238,197,189,178,169,178,168,177,178,162,140,122,107,76,156,239,232,233,234,236,236,236,160,166,171,182,178,198,233,194,200,189,199,194,163,160,169,149,125,116,84,117,233,229,234,235,235,237,236,237,161,167,173,180,181,211,233,213,204,199,194,182,156,141,156,138,116,104,80,205,234,231,236,236,237,238,237,237,162,168,174,174,217,238,203,196,212,204,182,164,147,131,140,126,114,79,133,240,229,234,235,235,237,238,238,238,162,169,169,193,243,228,233,152,161,206,171,153,141,120,121,117,110,67,158,243,229,234,236,236,237,237,238,240,163,170,173,234,231,227,233,229,132,136,156,148,129,101,115,107,102,68,166,244,230,234,236,238,238,239,239,240,165,162,209,243,220,231,230,229,231,120,106,137,117,99,109,100,98,66,173,242,232,235,236,238,240,240,241,241
4,96,104,114,121,124,127,130,133,136,137,139,142,143,145,147,149,151,153,155,157,158,159,160,161,162,163,165,165,98,105,115,121,124,128,132,134,137,138,141,143,144,145,146,148,153,154,155,158,159,160,160,161,162,163,164,165,100,107,115,121,125,130,133,136,139,139,139,141,146,155,143,136,137,152,154,156,159,161,162,163,163,163,163,164,101,108,118,122,127,131,134,136,139,150,153,137,134,157,168,144,111,115,137,124,143,161,162,164,164,165,164,165,103,110,119,124,128,131,134,137,140,168,176,163,134,113,161,141,107,83,127,103,106,162,162,165,165,166,166,167,103,111,120,125,130,132,136,155,156,145,128,161,135,97,128,132,98,76,117,104,97,161,164,165,165,166,167,168,105,113,121,126,130,132,151,185,171,136,100,137,130,91,103,141,108,77,129,118,92,156,165,167,166,167,168,168,105,115,123,126,129,131,161,171,169,134,98,115,142,97,80,143,123,74,137,125,88,151,165,167,167,168,168,169,106,116,123,127,130,132,165,168,152,148,121,91,144,111,53,116,146,100,111,115,122,121,150,168,168,169,170,170,108,116,123,128,132,133,167,166,136,140,120,68,101,102,64,104,152,129,111,114,123,112,124,168,169,171,171,172,110,118,125,129,133,133,168,172,153,131,105,83,78,98,92,110,134,134,127,118,116,128,114,159,171,171,171,172,112,120,126,130,134,137,181,173,148,127,110,91,93,113,105,121,135,132,121,120,138,146,117,141,173,173,173,173,113,121,127,131,135,141,188,172,140,119,103,90,99,114,119,131,144,128,105,136,162,154,131,123,172,174,174,174,114,122,128,131,135,147,192,169,141,120,105,96,105,115,133,139,151,160,158,146,148,154,134,111,162,176,174,174,115,122,128,132,135,153,198,172,144,122,110,100,108,121,142,150,161,175,172,162,154,138,122,96,144,178,176,176,117,123,129,133,135,152,202,177,149,129,110,101,109,124,148,161,172,179,174,165,153,132,108,87,139,179,178,179,119,124,128,133,135,152,204,182,158,137,113,106,111,126,156,172,179,180,172,163,146,128,104,87,155,179,178,179,120,125,128,133,137,153,206,183,164,144,125,117,118,132,164,183,185,179,167,155,141,121,97,101,174,178,179,179,120,125,128,134,137,151,201,185,170,152,139,123,126,145,171,190,188,178,165,149,133,111,86,130,181,178,179,179,120,125,129,135,138,145,190,188,177,162,151,137,132,157,168,187,185,175,163,143,124,98,89,162,180,179,180,180,120,125,130,135,138,141,180,191,183,170,159,148,137,153,164,180,180,171,159,140,119,91,115,180,179,179,180,180,121,125,130,135,139,142,168,198,187,175,162,150,140,149,161,177,175,162,153,138,117,94,153,180,180,180,181,181,122,126,130,136,139,143,161,205,189,174,160,147,143,148,161,171,164,152,141,133,111,115,177,181,181,180,181,181,123,126,130,136,141,144,159,209,183,169,160,152,149,152,159,161,149,140,128,117,109,160,180,181,181,181,181,181,122,126,130,136,141,144,160,203,176,169,166,162,158,153,155,156,144,133,118,99,146,178,180,181,181,181,181,181,123,127,131,136,140,143,162,198,177,175,171,168,166,156,151,149,139,124,103,108,175,178,180,180,182,182,182,182,122,126,131,137,141,143,164,200,190,177,169,171,173,157,144,139,132,116,89,134,179,178,179,181,182,182,182,182,122,127,132,137,141,144,164,199,195,177,171,176,175,153,140,133,130,107,86,156,180,179,181,182,182,182,183,183
19,143,145,148,150,152,154,156,157,157,158,158,159,159,161,162,162,162,162,162,162,162,162,162,163,161,161,161,160,146,148,151,154,155,157,159,160,160,161,161,161,162,163,165,165,164,164,164,165,165,164,165,165,164,164,164,163,149,152,155,158,160,161,162,163,164,165,165,165,164,161,164,167,167,168,168,168,168,168,168,167,167,167,166,165,153,155,159,161,163,164,165,166,167,168,168,170,162,140,144,168,171,171,172,172,171,171,171,171,170,170,169,168,156,158,162,164,166,167,168,169,170,171,172,178,166,131,118,161,174,175,175,174,174,174,174,174,174,174,173,172,159,161,164,167,169,170,171,172,173,174,175,182,171,134,104,150,176,177,178,178,177,177,177,177,177,177,176,175,162,165,167,170,172,173,175,176,177,178,179,183,172,137,111,143,159,159,169,172,172,175,178,179,180,179,179,178,165,168,170,172,174,176,177,179,181,181,181,181,171,156,153,158,146,130,142,148,147,151,157,168,171,177,181,180,168,170,173,175,177,179,180,180,176,174,174,173,172,169,164,157,141,118,122,137,139,137,134,144,147,168,183,183,170,173,175,178,180,181,182,174,158,154,157,160,161,159,156,154,142,114,110,126,131,128,125,131,150,176,186,185,172,175,177,180,182,184,184,168,150,144,143,146,150,153,152,150,139,115,142,167,168,164,165,170,181,188,188,187,174,177,179,182,184,186,186,171,160,145,134,135,140,144,143,139,131,116,154,191,192,192,193,193,193,192,190,189,176,179,181,184,186,187,187,184,177,151,130,128,132,140,143,138,128,113,140,190,195,195,195,196,195,194,193,192,178,181,183,186,188,189,187,189,187,167,141,122,121,129,132,125,115,104,139,192,197,197,197,197,197,195,195,194,179,182,185,188,189,190,187,186,189,182,152,127,122,126,125,114,103,99,154,198,200,200,199,199,198,197,196,196,181,183,187,190,192,191,188,190,189,177,148,131,126,122,111,97,89,100,168,201,203,202,201,201,200,199,198,198,183,185,189,192,193,192,190,194,188,169,145,133,129,109,83,68,76,114,184,202,204,203,202,202,201,200,200,200,185,187,191,193,195,194,191,194,185,162,139,137,137,98,63,55,82,144,197,203,204,205,204,203,202,202,201,200,187,189,193,195,197,196,190,191,181,156,137,143,132,88,58,63,117,183,203,204,205,206,206,205,204,203,202,202,188,191,194,197,199,197,188,185,176,153,142,149,126,87,65,74,151,202,206,207,207,207,207,206,205,205,204,203,190,192,195,198,200,198,185,178,170,156,155,153,120,86,72,90,172,207,208,209,208,208,208,208,207,207,206,206,191,193,196,198,200,198,182,175,171,163,161,147,111,83,77,114,192,208,209,210,209,209,209,209,208,208,207,207,192,194,196,199,201,198,179,175,172,163,154,132,101,81,86,148,205,210,210,210,211,211,210,210,209,209,209,208,193,195,198,200,202,197,178,176,168,152,138,114,92,83,109,183,210,211,211,212,213,212,212,212,212,211,211,210,194,196,198,201,203,197,179,178,166,145,123,98,87,87,142,204,213,213,213,213,214,214,213,213,213,213,213,212,195,197,199,202,205,196,182,186,169,141,113,89,80,90,165,211,214,214,214,215,215,214,214,213,213,214,214,213,195,197,200,202,204,193,184,185,160,131,104,85,76,107,189,214,214,214,215,215,215,215,214,214,214,214,214,213,194,196,200,203,204,188,183,176,145,119,100,85,76,130,205,214,214,214,215,215,215,215,215,214,214,215,215,214
0,171,172,171,171,171,171,171,170,170,169,167,169,168,166,165,165,164,164,162,161,160,159,158,157,156,155,153,153,172,173,172,173,173,172,171,171,171,169,169,169,169,168,167,166,165,165,164,163,161,159,158,157,156,155,154,154,172,173,173,173,173,173,173,173,171,171,170,169,169,169,169,167,165,164,164,162,162,162,159,158,157,156,155,154,174,174,174,174,174,175,175,174,172,171,172,171,174,174,169,170,171,167,163,163,162,162,161,160,158,157,155,155,173,176,176,176,176,175,173,173,176,176,172,159,131,141,174,154,139,156,170,166,167,165,160,162,160,159,156,155,176,177,177,177,176,174,174,167,146,156,169,140,109,81,125,127,98,80,146,141,126,151,166,156,159,159,158,157,177,177,176,177,176,175,174,157,127,105,135,153,113,80,91,138,106,73,73,112,81,66,141,128,126,165,157,156,178,178,177,177,176,177,176,172,149,121,93,149,121,89,90,143,114,79,77,127,102,54,76,126,96,167,158,157,178,178,178,178,176,181,172,164,155,131,81,134,128,93,90,142,116,80,67,123,103,61,51,116,89,158,161,159,180,179,179,179,177,182,169,131,155,114,71,136,124,85,83,134,107,71,51,102,85,53,48,116,77,127,169,159,180,179,180,179,178,178,144,106,150,96,68,129,102,65,76,121,94,60,56,116,95,43,52,122,100,80,158,162,180,179,180,180,181,178,157,129,148,107,82,121,102,62,74,123,94,50,94,138,103,35,57,122,114,69,111,172,180,182,181,180,183,174,153,128,132,116,86,127,121,65,91,139,107,54,121,145,76,30,101,130,113,60,98,172,181,183,183,182,178,151,123,107,93,79,73,138,119,61,99,145,111,57,30,62,24,66,135,133,98,49,140,165,183,183,183,183,179,155,127,101,75,64,61,91,96,57,52,97,78,53,59,27,50,128,135,121,65,87,172,161,183,182,184,180,172,153,131,102,80,78,81,73,81,79,64,68,101,131,138,122,107,130,121,93,50,147,168,162,184,184,185,180,172,157,134,107,82,75,82,89,105,118,123,139,150,140,129,129,102,106,109,57,79,175,162,164,185,185,185,183,175,158,137,116,92,82,84,98,128,140,151,153,147,134,124,118,92,84,90,37,135,173,164,164,185,185,185,183,177,158,141,122,101,101,88,123,156,155,156,152,143,128,121,114,83,70,49,71,176,168,167,164,185,186,185,183,180,164,147,130,117,114,118,153,162,158,158,151,137,124,114,100,72,44,49,157,171,168,168,166,185,186,185,183,181,165,150,138,127,121,147,157,161,163,157,141,131,117,102,84,47,40,152,175,168,169,168,167,185,186,186,181,178,170,156,143,128,126,156,157,163,161,148,130,118,107,90,60,32,143,178,168,171,171,168,167,185,187,186,180,176,172,159,147,130,125,154,159,155,150,134,117,103,93,67,30,132,182,169,171,171,172,169,169,186,187,188,182,176,174,164,155,140,127,149,156,144,135,120,103,88,63,29,121,185,172,173,172,171,171,170,168,186,186,189,185,180,170,163,156,147,134,147,146,134,120,109,91,62,28,119,185,173,176,173,173,171,170,170,170,186,186,188,183,176,167,173,168,156,141,142,138,119,107,97,65,27,124,188,175,176,177,175,174,173,171,169,170,186,187,188,181,179,167,175,169,151,138,133,129,108,90,75,36,127,190,176,179,179,177,176,175,172,172,171,169,188,188,186,179,172,158,171,158,145,137,127,113,97,81,45,87,193,178,180,178,179,177,176,175,172,173,172,170
0,170,171,171,170,170,170,169,169,169,171,170,170,170,169,168,167,167,167,165,166,163,162,163,163,161,160,159,158,172,173,172,172,173,173,173,173,173,171,171,172,172,171,170,169,168,167,166,166,166,165,165,164,161,160,160,160,174,173,173,173,173,173,173,173,173,172,174,174,173,172,171,170,169,169,167,168,168,167,167,165,165,163,162,160,174,174,174,173,173,173,173,173,174,174,174,175,175,174,173,175,174,170,174,175,169,166,166,167,167,165,164,164,175,175,176,175,174,175,174,174,175,174,174,175,174,174,169,151,161,179,154,137,163,158,124,168,167,167,166,166,175,176,177,177,176,176,176,176,176,174,177,179,180,175,141,103,82,121,120,90,87,151,94,139,175,166,167,165,177,177,177,178,178,178,177,177,179,182,178,158,129,138,138,107,73,50,120,101,53,124,116,90,183,166,167,166,178,177,178,178,178,178,178,177,157,151,166,143,95,58,121,115,97,67,122,103,62,100,139,61,121,182,166,168,179,179,179,179,178,178,175,166,131,79,139,139,99,55,107,124,107,66,125,108,62,70,137,93,61,125,175,167,180,180,180,180,179,179,166,160,135,87,122,144,107,70,101,129,99,62,128,112,61,35,128,116,81,55,171,168,180,180,180,180,180,177,153,150,144,111,107,150,108,76,81,130,100,50,103,91,50,40,136,130,69,70,180,169,181,181,181,181,181,171,147,129,143,120,96,140,103,73,65,128,97,33,40,50,20,80,154,125,48,118,185,169,182,183,182,182,180,168,163,122,124,116,74,118,110,80,41,69,58,4,23,34,56,137,149,106,48,164,175,172,182,184,184,183,179,161,144,94,95,80,29,79,105,74,22,8,21,59,111,101,115,150,134,72,79,186,170,172,183,185,184,185,176,159,152,119,86,50,24,30,58,32,12,34,99,147,144,138,115,127,118,37,120,189,172,172,184,186,184,186,177,160,162,140,103,81,68,62,73,75,96,128,150,148,140,138,106,89,81,27,158,180,174,174,184,186,184,187,176,160,169,145,116,99,84,93,117,146,154,158,161,152,132,127,92,66,31,86,189,175,176,174,184,185,184,187,177,154,170,148,124,95,92,101,139,161,162,166,162,142,123,111,81,29,55,179,180,178,177,177,181,183,182,184,181,147,159,148,129,105,100,112,157,166,163,164,152,127,109,93,51,35,168,184,177,178,177,176,182,184,185,185,187,152,154,154,134,121,113,126,160,163,162,154,133,116,96,72,23,139,188,176,178,178,175,175,185,185,185,185,190,164,143,155,147,135,116,130,156,155,155,143,115,97,82,27,99,192,177,180,178,178,176,176,185,185,185,185,188,177,141,152,146,130,112,123,148,141,136,119,96,80,37,62,186,181,179,180,178,179,178,176,185,185,185,186,186,187,150,146,140,121,111,117,137,129,116,99,76,36,39,171,185,181,181,180,179,179,178,177,185,185,185,185,185,186,156,147,132,113,111,112,130,122,101,82,44,33,163,188,181,183,184,180,180,179,178,177,187,186,186,185,188,178,151,145,137,131,129,120,123,119,89,61,20,149,192,180,182,181,182,181,179,179,178,176,179,182,183,183,189,163,147,154,145,145,133,123,119,110,74,30,73,201,186,190,190,188,187,185,184,182,181,180,100,103,106,108,107,126,153,161,153,143,133,125,111,83,64,26,89,158,153,155,158,161,162,162,164,165,167,166,79,78,76,76,69,115,155,162,148,141,133,123,86,72,55,27,55,79,78,77,78,80,80,81,83,85,86,86
6,134,140,145,147,150,154,158,161,165,168,170,172,174,177,178,181,182,183,185,186,186,186,187,188,188,188,187,188,136,141,144,146,149,155,159,162,165,168,171,173,175,177,179,181,182,184,185,187,187,188,188,188,188,188,188,188,136,141,145,146,149,156,160,163,165,169,172,175,177,178,179,181,184,185,187,186,187,188,190,190,189,189,188,188,136,142,146,147,152,156,161,164,167,171,173,175,178,179,180,182,186,188,189,188,190,190,192,191,190,190,189,190,137,144,145,148,151,156,160,164,168,171,173,176,179,180,182,183,186,188,188,188,191,191,192,194,193,192,194,194,138,144,146,149,151,157,161,165,168,173,173,176,179,179,181,183,184,185,185,186,183,186,187,188,188,185,181,183,138,144,148,149,151,156,162,165,168,169,179,184,181,184,188,190,191,196,195,190,193,198,207,197,188,182,161,160,137,142,145,146,150,155,159,162,174,195,205,200,185,177,192,204,209,211,205,191,194,204,209,206,198,185,171,170,136,142,144,147,148,152,166,187,205,208,206,196,180,148,143,171,177,176,173,168,171,162,154,156,154,146,141,148,139,147,146,143,157,182,208,208,200,198,202,205,187,141,105,107,108,114,127,127,130,145,161,168,170,172,175,180,137,140,151,177,200,211,205,199,200,206,208,194,160,136,108,100,97,89,116,167,184,193,197,196,197,198,196,196,143,175,203,212,207,206,200,202,207,205,191,168,140,125,112,110,116,109,106,145,174,194,192,194,194,193,192,193,205,212,209,207,205,208,208,204,203,203,201,198,165,120,108,96,108,122,114,103,85,157,204,194,196,195,194,194,212,209,210,209,206,202,203,201,202,206,213,208,159,120,113,107,98,109,123,128,106,85,168,201,194,195,195,195,216,214,212,205,205,203,205,198,200,211,213,178,143,125,118,120,122,108,94,104,113,96,112,201,193,195,194,193,216,213,206,198,196,193,194,191,196,204,196,165,137,121,123,126,128,120,98,92,92,98,124,196,193,193,193,192,211,208,200,194,195,192,191,188,190,195,194,176,137,108,88,112,130,157,120,105,91,95,116,131,129,129,128,127,207,208,208,201,197,197,199,197,194,200,198,175,129,114,102,98,100,119,128,120,103,103,98,95,95,96,95,94,211,211,205,199,197,196,196,193,197,204,192,161,122,118,123,122,113,101,105,109,113,107,103,105,105,105,105,104,205,202,196,193,193,186,181,178,186,189,174,152,131,128,126,121,113,105,100,98,110,111,108,105,103,102,102,102,192,190,190,184,177,174,165,167,178,173,157,142,131,124,129,127,117,107,106,110,107,109,109,105,105,104,102,102,171,175,168,166,159,160,157,154,153,143,128,117,114,106,106,112,114,113,112,109,106,107,106,104,105,103,101,101,132,134,139,139,142,134,126,118,112,110,109,108,108,108,104,103,105,110,108,106,107,107,107,105,107,103,102,102,121,109,108,108,103,103,107,107,105,109,111,111,110,110,111,109,109,108,108,108,106,105,106,105,107,104,103,103,108,105,97,90,99,107,110,111,111,111,112,111,110,110,109,109,109,110,109,108,106,104,105,105,104,103,102,103,97,87,83,90,103,112,111,110,111,112,110,110,110,110,110,108,108,109,108,107,107,106,104,104,105,104,103,102,122,112,99,96,101,110,111,111,110,110,110,110,109,110,109,108,108,108,108,108,107,105,104,104,104,102,103,103,130,109,100,97,101,109,112,111,110,110,110,109,109,109,108,107,107,108,108,108,107,105,105,104,104,102,103,104
23,92,102,116,124,128,132,137,140,141,144,146,148,150,152,153,155,156,157,158,159,160,162,163,164,165,166,167,167,93,103,117,124,129,133,137,141,143,145,146,150,151,153,154,155,156,158,159,159,162,163,164,165,166,166,167,167,94,106,120,125,130,134,138,141,144,146,149,151,152,155,156,157,157,159,160,160,163,165,166,166,167,167,168,169,97,108,121,126,132,135,138,141,145,148,150,152,153,156,157,159,160,161,162,162,164,165,166,166,168,170,170,169,97,110,122,127,133,137,140,143,146,149,151,152,153,156,158,159,161,163,163,163,163,165,166,167,169,171,171,172,99,111,123,129,134,137,141,144,147,149,152,154,156,157,158,160,162,163,165,166,154,153,152,125,162,172,172,173,101,114,125,129,135,138,142,145,149,151,153,155,157,159,159,161,162,170,175,162,141,131,115,102,166,172,173,174,104,117,126,131,136,138,143,147,149,152,154,156,158,160,161,166,174,168,157,129,99,114,128,159,174,175,175,177,104,118,127,132,137,140,144,147,150,152,154,157,159,160,160,186,172,141,117,102,144,149,171,175,175,176,177,178,105,120,128,133,136,141,144,147,150,152,155,158,159,160,162,193,171,120,113,169,162,109,161,175,176,177,178,178,107,120,127,133,137,141,145,148,151,153,157,159,160,162,165,196,179,160,186,183,148,122,137,176,176,179,180,179,108,121,128,134,138,142,147,149,151,154,156,159,160,163,171,194,185,191,183,165,150,153,126,143,149,179,180,180,108,122,128,133,139,143,147,150,152,154,156,159,162,164,173,184,181,182,173,176,174,159,118,83,100,165,182,182,110,123,128,134,139,144,147,151,153,155,157,160,163,166,173,172,168,177,181,172,161,143,100,63,74,122,179,182,112,124,129,134,140,144,148,151,153,155,160,161,169,181,174,164,164,168,163,160,157,135,88,62,65,79,122,177,114,125,130,135,140,145,149,152,154,156,159,160,185,195,174,167,165,164,157,150,135,119,84,64,60,79,89,145,115,125,130,135,140,145,149,152,154,156,158,160,176,199,182,178,160,135,115,104,105,121,84,61,57,78,87,159,116,126,131,137,140,145,150,153,155,156,159,162,171,197,182,170,151,131,91,53,103,121,82,62,73,89,109,183,117,127,131,137,142,147,151,154,157,157,160,164,172,191,172,161,167,120,79,62,110,100,63,62,86,92,149,187,119,127,131,136,142,147,151,155,158,158,161,164,171,193,170,173,166,110,59,57,61,48,56,72,94,106,182,188,120,127,132,137,142,147,151,154,157,159,161,164,171,189,172,178,161,119,72,32,36,54,77,87,92,140,186,188,121,128,133,138,142,148,151,153,157,159,160,165,173,186,174,181,161,122,87,40,56,79,94,99,98,175,186,188,122,128,133,138,143,149,152,155,158,159,162,164,176,185,178,180,161,125,96,54,70,91,98,98,129,187,187,189,122,127,133,139,144,148,152,156,158,161,164,165,179,184,180,177,157,125,95,59,77,96,98,91,156,188,189,190,123,127,133,140,144,149,152,156,158,160,164,166,181,186,175,169,152,125,96,73,76,96,95,96,178,188,189,190,123,128,134,140,143,148,153,156,158,161,165,166,180,183,170,163,147,123,100,84,76,93,90,125,187,187,188,189,123,127,134,140,143,148,153,156,159,161,164,167,180,182,170,162,145,126,106,87,79,89,92,170,188,188,189,189,122,127,134,139,144,149,153,157,160,161,165,167,187,181,172,162,146,129,110,89,82,86,134,186,188,190,190,191
0,211,213,214,213,215,216,217,217,218,217,216,215,216,216,216,216,216,215,216,217,216,216,218,217,214,215,215,214,213,215,215,215,215,217,218,218,219,217,217,217,218,218,215,217,220,223,218,220,218,217,219,218,217,218,217,217,215,216,217,217,217,217,218,218,218,219,218,217,217,220,232,210,169,189,225,209,215,224,220,220,219,218,220,220,216,217,217,218,220,219,217,220,220,219,223,220,183,179,240,202,165,136,144,161,152,201,209,164,213,223,221,220,217,218,219,220,222,220,220,221,222,224,251,231,186,141,199,212,186,161,84,150,148,128,193,123,196,230,220,221,219,220,221,221,221,222,220,227,202,189,255,228,198,159,192,235,189,168,105,173,164,123,162,132,185,231,222,223,219,220,222,222,222,222,225,255,200,149,210,244,205,169,178,255,205,172,112,190,166,113,132,138,154,240,221,225,218,220,222,222,225,219,241,251,211,176,178,255,213,168,161,255,209,168,109,193,161,99,115,153,98,223,225,225,220,222,222,223,219,239,234,233,225,194,149,240,222,164,138,252,206,154,86,154,148,90,101,166,81,162,239,224,221,223,224,222,224,244,200,227,237,201,135,210,229,162,113,217,193,137,76,121,131,81,103,172,94,129,240,224,223,223,226,221,237,233,185,202,233,199,132,174,220,154,93,170,177,131,82,102,117,71,126,184,108,133,242,228,222,224,226,223,237,227,193,185,210,179,122,138,197,145,83,129,171,127,79,105,119,85,177,198,120,137,242,229,220,222,222,229,239,213,180,148,191,169,117,111,186,143,72,100,173,121,73,133,123,119,212,193,120,148,242,227,221,222,222,223,253,232,192,135,156,172,105,98,179,149,70,95,183,123,149,206,163,129,198,200,118,162,242,228,223,224,222,226,251,236,197,151,108,148,130,92,184,166,84,106,182,186,206,197,178,142,140,183,110,166,240,226,223,224,222,231,255,240,211,176,131,118,145,115,181,179,159,203,214,209,196,181,159,146,120,125,93,163,242,227,224,224,223,230,255,247,219,188,171,158,152,178,194,207,228,228,224,212,193,174,148,129,121,100,81,160,244,228,224,225,223,230,250,250,230,206,190,179,166,171,199,216,225,224,226,213,187,169,145,120,107,100,76,187,241,231,222,224,223,226,244,246,238,222,209,186,178,173,189,211,223,222,217,206,181,164,140,116,105,83,140,236,235,233,226,229,229,221,242,245,246,233,215,192,178,177,190,216,227,223,208,198,179,159,133,112,84,124,232,231,232,232,182,187,195,184,225,247,251,235,215,197,181,177,191,220,224,216,202,192,174,148,124,98,97,221,242,239,241,241,103,106,112,95,168,250,238,228,218,202,187,171,191,216,211,197,184,173,158,135,114,93,125,186,185,190,187,185,112,113,113,98,131,245,223,217,218,208,192,170,185,211,201,183,161,146,134,122,101,102,105,102,100,95,122,164,110,112,114,106,122,237,210,214,220,208,189,171,179,208,196,170,135,118,111,101,105,115,106,104,140,195,240,238,109,109,111,108,117,234,211,214,221,203,190,177,174,199,188,153,111,99,93,105,114,115,151,203,247,249,233,212,109,108,110,109,112,239,229,216,218,199,186,181,167,181,177,135,99,92,95,102,130,216,255,255,253,243,235,211,109,111,109,108,107,235,238,226,216,196,187,188,161,169,169,125,94,89,93,160,247,255,255,255,244,252,255,237,110,109,109,110,107,221,236,233,216,196,187,188,157,160,165,121,89,75,166,254,252,255,255,242,237,247,255,255
1,162,164,164,165,164,166,168,167,169,169,169,167,154,165,168,167,166,166,165,165,164,163,163,161,159,159,158,157,165,166,166,167,169,170,170,171,171,174,176,171,130,119,175,170,172,170,169,169,168,167,166,165,165,164,162,160,168,170,170,171,172,172,172,174,175,163,158,181,148,77,104,124,174,175,172,173,172,171,170,168,167,167,166,164,170,172,173,173,174,175,176,176,178,156,95,167,162,67,85,101,129,186,172,174,173,173,171,171,169,167,168,167,172,174,175,175,177,178,180,179,179,172,96,140,167,75,93,125,79,182,178,178,177,175,174,173,173,171,170,170,174,177,178,180,180,180,180,183,181,182,108,111,173,98,104,138,71,164,186,179,179,178,178,178,175,174,173,174,177,179,179,180,181,182,183,173,171,188,126,92,156,98,112,156,84,143,191,180,181,181,180,180,179,178,176,174,179,181,181,181,182,184,187,154,112,188,142,75,141,100,102,154,90,131,196,182,185,183,181,181,181,181,179,176,181,182,183,184,184,186,188,168,92,169,146,68,147,125,74,157,108,121,197,183,185,184,183,184,183,182,181,180,182,184,186,186,187,187,190,172,95,154,167,81,125,136,71,153,137,113,199,185,187,186,185,186,186,185,183,182,183,186,186,187,188,188,192,177,98,143,177,86,85,121,110,150,112,99,189,191,190,188,187,187,188,187,186,186,185,188,189,188,190,190,191,180,112,107,169,87,88,113,114,136,91,89,91,126,200,188,188,188,188,186,186,186,188,189,191,191,193,193,189,188,126,83,150,111,116,107,117,130,121,98,66,72,179,195,190,190,189,187,187,188,188,190,191,192,193,195,191,185,141,119,133,109,118,107,136,160,120,76,113,101,124,204,190,192,191,189,188,187,189,192,193,194,194,195,196,191,161,130,121,103,114,117,141,151,126,125,176,145,98,187,195,192,192,192,190,189,190,193,195,195,196,196,197,197,167,126,107,100,111,121,149,157,160,152,138,156,93,136,206,191,192,192,192,192,192,193,195,195,197,198,196,200,178,132,95,101,115,126,163,165,186,184,149,121,74,78,201,194,194,193,192,192,193,195,197,197,198,201,196,199,199,151,102,105,117,144,162,171,180,174,148,118,69,63,192,199,196,193,193,194,193,195,198,199,197,200,199,196,207,177,128,100,120,152,168,184,187,171,147,125,65,91,205,196,198,195,195,195,194,196,198,201,201,202,203,192,209,198,157,113,115,143,176,195,189,174,162,123,57,130,213,197,199,199,198,196,195,196,200,201,203,203,205,192,204,207,176,132,123,140,177,200,192,186,159,108,55,167,209,199,200,200,198,195,196,199,200,202,202,202,204,197,192,202,190,145,133,139,172,189,201,185,141,88,69,198,203,201,201,201,200,197,197,201,200,202,203,202,204,205,178,189,191,157,133,132,162,184,184,157,115,64,100,216,203,202,202,201,201,199,195,199,199,201,202,202,203,207,184,171,177,159,141,134,143,158,148,114,78,54,166,212,202,202,202,201,201,200,196,200,199,201,202,203,203,204,201,165,167,160,147,142,121,123,128,97,52,114,213,203,204,202,202,201,200,198,197,200,200,201,202,203,204,204,208,180,174,158,140,137,110,109,114,79,55,185,209,203,203,202,202,201,200,198,198,200,200,201,202,203,204,205,207,184,176,148,132,134,118,110,96,58,87,211,203,205,204,203,202,202,202,199,197,199,201,202,202,203,203,204,210,182,184,173,153,152,130,118,87,50,110,216,204,206,206,204,203,203,202,199
18,138,140,141,141,142,143,144,144,143,143,143,143,141,140,140,139,137,138,136,136,133,132,132,130,127,126,125,124,140,142,142,142,144,146,146,146,146,147,146,144,142,141,140,139,140,140,139,136,135,134,132,131,129,128,126,125,141,142,143,144,145,148,147,148,148,148,148,147,146,148,150,145,143,145,146,146,137,136,137,134,130,128,127,125,143,144,145,146,149,149,148,150,150,149,149,148,150,134,104,135,150,115,82,104,147,139,125,135,137,130,129,128,143,145,148,149,150,150,151,152,152,152,154,155,154,112,55,46,108,100,55,14,102,106,61,52,118,136,131,132,145,146,150,150,150,152,154,153,154,146,108,112,149,119,81,41,51,140,66,40,17,70,62,15,38,144,132,132,146,148,150,153,152,153,154,152,158,147,96,71,77,134,91,56,32,126,77,55,46,41,55,37,0,115,139,130,150,152,151,154,154,154,155,156,160,154,126,106,61,84,116,61,27,69,94,73,65,54,76,56,0,105,143,133,151,151,153,154,155,157,159,158,158,136,145,106,85,36,95,72,38,34,99,86,71,69,67,48,0,111,144,136,151,152,153,154,155,158,159,159,168,106,103,108,70,5,61,82,37,15,79,70,65,64,65,50,0,96,149,136,151,152,154,156,157,159,159,163,158,79,44,109,36,0,38,51,12,0,57,24,43,103,94,58,2,75,154,138,151,154,156,157,159,160,159,166,153,106,66,95,37,0,25,26,1,0,26,1,15,130,103,70,13,51,156,138,154,156,157,158,160,161,159,167,161,134,87,75,60,10,22,39,8,0,24,4,0,98,114,82,31,22,152,141,156,157,158,159,160,161,160,167,161,120,81,50,35,0,24,49,3,0,15,56,106,105,135,98,44,1,134,146,156,157,160,161,161,162,161,169,142,96,69,44,17,0,3,9,0,3,50,125,134,116,111,94,42,0,118,152,158,158,161,161,161,164,164,167,157,127,95,63,33,28,20,18,46,83,126,139,128,121,89,66,29,0,126,150,158,159,160,162,163,166,165,167,163,137,104,65,33,27,37,58,91,122,148,147,121,100,77,42,6,17,153,146,159,159,160,162,165,167,167,168,165,144,113,77,51,41,41,56,114,141,155,141,108,87,65,33,0,71,161,144,161,161,162,164,166,166,168,168,163,149,119,90,64,54,45,70,138,149,148,129,99,75,57,20,0,131,155,147,160,163,164,164,167,167,169,166,157,144,118,91,74,62,54,82,149,141,134,119,94,66,48,0,23,161,150,150,160,164,164,165,167,167,169,166,149,134,120,97,79,78,61,90,141,136,122,100,84,59,36,0,77,167,149,150,161,164,165,167,167,169,169,170,150,135,124,103,89,91,68,98,132,131,115,85,69,48,19,0,133,157,150,150,163,165,166,169,171,171,172,174,162,132,123,112,98,87,64,92,126,118,106,79,52,35,0,33,167,150,153,152,164,165,167,169,170,170,172,174,169,141,131,120,104,85,63,74,113,105,88,63,37,18,0,118,165,155,154,152,164,167,168,170,170,171,172,174,174,157,138,122,109,95,77,70,93,93,73,49,29,0,28,171,156,157,155,154,164,165,168,171,170,173,173,172,172,167,149,127,106,91,81,72,83,85,64,41,14,0,120,168,158,157,155,154,167,167,169,170,171,173,172,172,171,169,154,123,106,101,98,91,79,77,56,35,0,36,172,157,159,158,157,155,168,169,170,171,171,172,173,175,169,167,153,128,122,118,101,90,71,70,47,21,0,109,172,160,160,159,157,156
8,154,159,161,164,168,165,169,170,169,169,169,170,171,169,167,167,165,165,163,162,161,160,159,158,156,156,154,152,158,160,165,158,145,172,170,171,170,170,170,171,171,170,169,169,168,167,164,163,163,162,162,160,159,157,156,154,160,159,174,160,83,160,176,173,171,172,172,173,173,172,171,171,169,168,168,167,165,164,165,162,162,159,158,156,161,161,178,176,70,129,184,174,176,175,174,175,173,173,173,172,171,169,169,168,166,167,166,162,162,161,159,159,162,164,174,194,76,109,189,175,179,176,175,175,176,175,174,172,170,171,171,169,169,167,166,165,164,163,161,161,164,169,171,184,83,93,192,178,181,181,184,176,179,182,179,175,173,174,173,171,170,168,170,168,166,165,163,161,167,171,171,193,131,77,185,183,178,162,161,185,174,151,165,184,182,178,174,175,172,170,171,170,169,169,167,163,168,171,169,197,153,59,167,186,201,172,110,153,198,122,87,166,158,175,181,173,176,174,172,173,172,169,167,165,170,174,173,190,163,85,123,194,220,216,145,81,191,148,141,88,88,90,174,182,176,178,174,175,174,170,168,165,174,176,176,188,198,131,105,179,211,224,180,72,134,155,163,141,121,99,115,174,179,178,177,178,175,171,169,169,176,178,178,182,203,126,120,165,170,210,185,85,88,143,114,178,181,184,138,77,175,179,176,177,176,173,169,169,175,179,182,182,199,176,147,184,167,172,189,85,55,116,49,140,164,183,151,57,158,185,177,178,178,176,173,171,177,181,185,183,213,209,135,137,163,136,187,130,51,85,49,91,161,190,155,59,157,188,177,179,179,179,176,172,179,182,186,183,209,177,110,109,122,99,160,185,78,54,38,105,189,206,161,59,158,190,179,181,181,180,179,175,181,184,187,183,209,207,148,108,97,89,111,129,85,65,30,123,196,206,157,58,160,192,182,184,183,182,180,176,180,185,188,184,215,216,168,119,91,91,86,149,147,89,115,170,189,192,134,47,144,197,183,184,184,183,180,176,181,185,189,186,220,213,175,140,95,71,106,176,175,178,191,179,157,146,100,38,129,200,185,185,184,185,182,177,180,185,190,188,225,213,181,158,124,75,97,166,209,218,203,171,129,99,73,39,169,194,187,186,184,184,181,178,182,187,190,191,226,215,186,161,140,96,95,180,225,217,195,159,108,72,34,92,202,188,189,188,186,184,181,180,186,188,193,192,220,220,196,172,155,113,112,199,220,202,165,134,86,46,37,180,195,190,190,188,188,187,183,181,186,189,196,193,213,223,202,179,168,125,118,206,203,172,136,102,70,20,118,208,190,192,192,189,190,188,186,184,186,189,193,194,207,225,208,184,164,123,123,190,185,156,123,85,46,46,192,195,194,192,191,189,189,188,186,183,184,187,191,192,208,229,205,178,145,102,131,170,146,137,115,76,18,136,206,190,192,193,191,188,187,187,185,183,187,190,195,187,213,224,193,166,128,114,137,152,121,111,106,37,65,204,193,194,195,194,190,189,189,186,184,182,186,190,195,185,228,219,194,170,141,135,142,135,111,101,72,38,175,202,194,195,194,194,191,190,186,184,194,190,187,190,189,199,232,212,196,175,146,149,138,108,100,82,32,130,207,194,196,195,193,193,191,195,199,195,144,73,187,193,181,209,221,185,175,160,142,143,124,87,85,45,72,201,198,198,196,196,199,201,198,171,123,59,1,0,188,192,176,219,213,168,141,131,128,143,116,65,78,25,150,208,198,199,196,185,164,142,92,28,0,0,0,0
15,70,73,77,80,83,89,100,111,120,126,130,133,138,143,147,149,153,155,157,159,160,163,164,164,164,165,166,165,71,74,76,81,84,89,100,112,120,128,131,133,138,143,147,151,154,157,159,161,163,163,166,166,165,167,169,168,72,73,76,82,86,92,104,114,122,130,134,135,140,146,150,154,156,159,161,163,165,166,167,168,169,169,169,169,72,74,77,83,80,87,102,114,123,130,134,137,142,148,151,155,159,161,162,165,167,169,169,170,172,170,171,172,72,74,78,80,113,122,121,120,128,136,135,138,143,149,155,157,158,161,165,167,169,170,171,173,175,174,174,175,72,78,69,122,195,140,132,127,143,153,136,131,133,143,145,156,165,166,167,168,169,172,174,176,176,176,176,176,73,78,69,122,163,100,100,99,137,135,115,116,154,155,130,118,129,152,162,173,176,173,175,178,178,177,178,178,74,75,78,81,96,88,91,86,119,112,94,105,159,158,137,101,117,127,135,132,156,183,175,179,179,179,180,179,74,75,79,83,84,95,106,114,120,116,106,109,147,152,113,105,161,143,141,130,95,147,188,178,182,181,182,181,74,77,79,83,87,96,110,123,133,140,141,140,133,110,89,183,155,155,120,156,133,81,160,188,181,183,184,183,76,76,79,83,85,97,111,122,132,137,147,179,121,90,97,158,149,117,117,156,137,119,75,176,186,184,184,184,74,76,78,83,86,97,111,124,134,136,166,189,150,89,66,68,106,88,141,124,128,138,77,95,195,184,186,186,75,77,79,83,86,98,113,124,134,138,155,192,178,132,110,90,76,92,158,119,129,102,98,55,139,200,185,188,74,76,79,82,87,99,114,124,134,140,168,165,173,157,172,150,93,91,90,98,98,70,60,64,60,175,194,188,75,77,79,83,87,99,112,126,131,157,185,150,147,133,168,143,76,76,80,74,85,68,49,58,46,74,190,192,76,77,80,83,87,100,114,126,134,155,151,113,118,124,148,106,72,78,76,79,88,78,57,56,56,36,112,203,76,76,79,83,87,101,114,125,136,146,161,122,119,91,78,69,61,67,68,70,75,71,70,66,55,52,51,179,76,77,79,83,87,102,116,127,134,154,176,175,148,102,80,102,89,44,71,83,80,76,83,80,62,56,43,112,75,77,80,82,87,102,115,127,137,145,156,175,156,123,115,108,113,50,75,104,97,98,103,94,65,50,55,51,76,76,79,83,87,102,115,128,139,145,150,150,134,108,72,68,105,128,69,103,117,114,105,86,56,53,58,55,76,75,78,81,87,102,116,129,138,145,146,149,130,103,71,53,87,119,79,78,125,122,95,71,54,59,61,60,75,75,78,80,87,102,117,130,139,144,146,153,162,168,169,148,113,139,141,109,105,101,76,65,61,65,65,60,72,74,77,78,85,101,115,128,138,144,146,151,157,161,172,170,85,106,123,134,93,95,82,56,41,40,41,44,70,72,76,76,84,101,115,128,139,143,145,151,159,164,176,144,62,58,36,40,50,53,39,24,15,13,9,3,71,72,75,76,82,99,114,127,139,144,146,152,159,163,180,119,63,66,64,14,18,31,24,18,17,13,6,0,69,71,73,76,81,98,115,128,138,145,147,153,160,166,175,96,61,58,59,50,0,20,26,19,16,13,7,0,67,68,72,73,81,98,114,127,138,145,147,152,158,169,158,68,60,57,51,59,0,0,19,15,6,5,5,0,64,65,70,71,80,96,110,124,135,142,144,151,157,173,126,59,64,54,50,62,2,0,6,8,2,7,9,0
15,112,122,130,133,137,144,151,157,162,166,170,173,177,181,184,188,190,193,195,196,197,199,199,200,201,202,202,202,114,124,131,135,138,146,154,160,164,168,172,175,179,182,186,189,192,194,196,198,200,200,200,202,202,203,203,202,115,125,133,136,139,148,155,161,166,170,172,176,180,184,187,190,194,196,198,200,201,201,202,203,203,205,204,204,116,126,134,137,141,149,156,161,166,171,174,178,182,184,187,192,195,197,199,201,201,203,203,204,205,207,206,206,117,127,135,138,143,150,158,164,169,173,176,180,183,186,189,193,196,199,201,201,203,204,205,206,207,207,208,208,120,129,136,139,144,152,158,165,171,175,177,181,184,188,192,195,198,200,202,202,204,206,206,207,208,208,208,209,121,131,137,139,146,154,161,166,172,176,178,182,187,191,194,197,200,201,203,205,207,209,208,208,209,209,209,210,123,133,139,141,147,156,162,166,170,173,170,163,158,162,168,174,179,179,172,165,167,183,199,207,210,212,213,212,123,133,139,144,149,154,154,151,151,152,145,138,135,133,135,136,145,153,146,141,127,118,126,141,161,180,197,207,125,135,143,150,147,150,142,127,126,121,112,120,134,135,130,123,139,158,154,151,137,123,117,105,96,97,110,131,127,137,141,129,113,108,94,79,83,82,79,85,97,96,90,91,125,139,139,136,127,125,130,120,105,93,89,94,128,137,141,140,132,120,115,124,141,154,161,158,153,143,130,109,120,122,124,109,112,121,143,130,115,101,94,101,129,137,141,146,154,160,166,172,177,181,186,189,192,197,183,149,136,116,104,91,110,134,155,140,128,113,106,113,129,137,141,146,153,161,167,172,177,180,185,189,192,188,166,161,131,77,76,59,121,164,163,143,138,127,119,119,129,137,140,145,153,161,166,172,176,180,183,188,190,178,162,140,117,51,48,41,137,178,166,142,138,128,119,112,131,137,140,145,153,160,167,172,176,180,185,188,184,175,169,126,76,41,45,33,135,182,163,137,122,114,106,97,131,138,141,146,154,161,168,172,176,180,184,189,186,163,172,146,75,44,50,47,138,171,157,127,103,94,83,80,131,139,143,147,155,162,168,172,177,181,185,189,194,182,172,166,117,72,100,139,152,151,146,111,86,77,70,75,131,139,142,147,155,162,168,173,178,181,186,190,193,197,181,170,153,141,142,140,133,121,101,81,71,65,70,75,132,137,141,147,155,163,169,172,178,183,186,190,194,196,180,158,158,140,109,106,92,75,78,121,124,125,141,161,129,136,139,146,154,160,167,173,178,183,187,190,193,175,142,128,130,114,85,72,58,46,58,166,217,215,217,218,104,109,112,116,121,125,132,136,139,145,150,154,169,158,127,104,87,83,67,51,48,44,55,110,209,208,212,213,91,92,92,95,98,97,96,96,98,99,101,102,124,135,96,72,64,78,87,71,69,88,84,98,130,133,137,142,95,97,98,100,101,102,102,102,104,106,107,107,111,107,84,87,97,106,108,107,105,108,108,106,107,107,107,107,96,97,98,100,101,101,102,103,104,106,106,107,107,105,109,114,113,111,109,110,110,110,110,110,111,111,112,112,97,98,100,101,102,102,103,104,103,104,105,105,107,107,109,111,112,114,111,110,109,109,111,112,112,113,114,115,97,98,101,102,103,104,104,105,105,106,106,107,108,108,108,108,108,111,110,109,109,110,111,112,112,113,114,115,96,97,100,102,103,104,104,105,106,107,106,108,108,109,109,108,108,109,110,111,110,110,111,112,111,112,113,113
7,255,255,255,255,255,255,255,255,255,255,255,255,254,219,255,250,232,214,205,198,178,163,149,108,86,46,97,227,255,255,255,255,255,255,255,255,255,255,255,255,255,246,252,255,235,208,175,166,143,113,95,71,66,40,113,235,255,255,255,255,255,255,255,255,255,255,255,255,255,247,255,255,243,222,174,138,102,77,62,53,49,51,115,238,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,247,241,236,219,184,134,87,61,67,59,115,240,255,255,255,255,255,255,255,255,255,255,255,255,225,230,255,252,244,246,251,242,245,190,112,84,82,66,118,242,255,255,255,255,255,255,255,255,255,255,255,255,163,187,255,255,248,249,254,238,244,190,87,91,90,78,111,243,255,255,255,255,255,255,255,255,255,255,255,230,186,255,233,250,252,240,254,243,234,167,92,97,98,95,67,134,255,255,255,255,255,255,255,255,255,255,255,227,255,255,245,179,235,236,239,231,211,151,103,100,104,99,54,71,255,255,255,255,255,255,255,255,255,252,253,255,255,255,255,242,185,216,231,224,204,166,121,108,111,99,49,70,255,255,255,255,255,255,247,228,215,196,146,140,177,211,225,215,180,162,186,204,200,173,130,118,116,95,73,182,255,255,255,255,235,219,217,212,209,195,138,100,124,148,152,146,157,157,133,135,155,149,135,130,115,87,116,229,248,233,220,214,214,220,217,209,205,177,132,121,122,132,142,148,152,154,134,114,132,119,129,128,122,96,158,170,220,223,228,226,223,226,224,228,216,189,140,114,125,137,142,140,148,144,125,116,122,122,134,132,171,140,209,126,233,229,230,224,227,234,234,229,220,200,136,102,124,141,157,151,151,146,136,129,119,139,127,125,149,143,136,51,228,229,234,235,231,226,226,218,210,171,117,117,130,135,140,141,141,139,138,124,124,146,132,128,122,141,156,121,241,239,233,232,227,228,227,219,213,169,104,102,101,94,99,105,116,120,112,122,116,124,125,117,116,126,150,131,239,239,231,229,230,233,219,215,232,198,102,83,86,79,121,137,119,182,216,160,162,105,103,124,114,107,94,92,224,228,231,225,224,221,209,220,226,178,107,91,96,91,91,107,122,153,168,136,117,132,138,141,70,85,114,79,215,214,222,218,212,209,206,209,203,150,100,102,101,100,93,88,213,226,141,111,109,147,219,87,20,39,131,146,208,207,206,210,209,205,204,207,206,141,89,75,96,110,91,127,194,107,137,110,106,153,145,26,88,70,117,193,204,206,201,207,207,205,206,205,206,140,84,65,68,92,83,98,119,90,100,97,102,115,108,121,128,113,134,189,206,196,184,187,185,183,187,185,168,124,85,73,86,101,96,93,165,102,170,146,125,107,161,108,82,88,132,181,182,185,168,151,145,144,142,134,105,94,93,150,143,115,134,106,138,141,187,95,79,61,159,124,95,109,94,138,155,162,145,127,116,122,124,121,158,229,231,235,186,146,138,130,87,87,159,73,100,56,91,151,90,116,82,99,142,144,164,176,185,193,242,209,223,234,238,193,217,251,250,136,103,84,119,123,88,74,153,97,92,118,80,96,203,143,255,255,255,230,255,155,226,198,228,243,232,228,255,188,79,154,103,101,71,144,255,141,90,118,93,89,206,154,229,255,255,249,250,130,208,169,214,236,229,230,234,219,154,216,207,133,41,178,240,160,150,210,131,84,165,176,251,255,255,255,247,187,124,148,217,225,214,185,200,212,225,200,226,168,55,169,204,151,197,235,183,100
11,165,165,165,165,164,164,164,163,161,158,159,159,158,157,156,155,153,151,150,149,147,145,144,143,141,139,138,136,168,168,167,168,167,167,167,167,164,147,152,161,161,160,159,157,156,154,153,151,149,147,146,144,143,140,132,116,172,172,171,171,171,172,171,171,168,137,131,160,165,164,162,160,159,157,156,154,152,151,149,146,143,126,88,54,176,176,176,176,176,176,175,174,170,145,115,147,169,168,166,164,162,160,159,157,155,154,152,148,129,79,35,22,180,180,179,180,180,180,179,178,174,155,115,129,169,171,170,168,166,164,163,161,159,157,155,146,97,48,28,24,184,183,183,183,183,183,182,181,177,161,122,116,166,175,173,172,170,168,167,165,163,161,158,136,70,44,35,27,186,187,187,186,186,186,185,185,182,170,139,110,157,178,177,175,173,172,170,168,166,164,161,129,59,42,35,31,189,189,189,189,189,188,189,188,186,181,152,108,146,180,180,178,177,174,173,172,170,167,163,124,55,36,26,27,193,193,192,192,191,191,192,191,189,184,158,109,135,181,183,181,180,177,176,174,172,170,165,114,47,32,22,27,195,195,194,194,194,194,193,193,190,178,159,118,123,176,186,184,182,180,179,177,175,173,166,105,39,28,19,22,196,196,196,196,196,197,196,196,193,179,166,141,117,161,180,183,185,183,182,180,178,176,165,95,35,24,17,21,198,199,199,199,199,199,199,198,197,188,176,166,134,147,140,155,184,186,184,183,181,179,160,82,37,26,24,29,200,200,200,201,201,201,200,199,199,193,180,180,173,156,109,113,177,188,187,186,183,181,163,102,77,75,64,49,202,202,202,202,202,202,202,201,199,193,184,183,162,128,98,94,165,190,189,187,184,180,170,148,136,124,104,74,203,203,204,204,204,204,204,201,190,168,171,180,141,88,82,87,146,190,191,189,184,178,173,162,139,110,85,65,205,206,206,206,206,206,203,196,178,131,120,148,131,82,72,81,123,185,192,188,178,178,173,148,114,101,81,52,207,207,207,208,207,204,199,191,168,127,99,109,123,93,70,75,99,171,191,180,167,168,155,118,105,127,115,62,208,209,210,209,205,198,194,173,141,128,108,92,109,101,70,72,84,129,157,154,155,151,126,120,134,143,133,96,210,210,211,210,201,193,177,140,103,111,111,84,88,101,73,70,82,84,104,130,141,127,125,160,145,118,123,121,212,213,213,210,199,191,173,135,90,91,107,66,64,100,79,71,101,94,96,119,120,112,155,183,159,98,110,125,214,215,214,211,198,190,174,139,100,84,85,46,52,102,84,72,109,105,96,105,98,128,181,189,181,142,130,132,215,215,215,213,202,189,176,156,131,95,66,46,58,108,101,80,94,105,99,91,101,164,192,191,188,178,154,131,216,216,216,216,210,192,181,169,149,116,81,66,83,122,119,95,105,123,101,86,139,190,195,192,190,186,160,126,217,217,218,218,215,199,184,172,159,132,101,82,96,136,134,112,118,113,87,95,171,197,196,193,191,188,161,114,217,218,218,218,217,205,187,173,158,136,110,91,94,129,147,135,121,98,77,121,190,199,196,195,193,189,161,110,217,217,218,218,217,210,187,170,153,136,116,100,94,113,132,127,111,85,87,160,198,198,196,194,193,187,160,130,218,218,218,218,217,215,193,168,154,140,124,108,95,96,109,105,90,80,130,189,199,197,195,193,187,174,148,138,219,219,219,219,218,217,203,170,154,142,130,113,93,85,91,84,73,104,176,199,199,197,195,187,160,145,137,138
8,168,170,168,170,171,170,171,171,170,171,171,170,172,172,171,172,172,171,171,170,169,169,168,168,167,167,167,166,169,170,170,172,172,172,172,173,172,172,172,172,159,165,175,173,173,173,172,172,171,170,170,170,168,167,167,167,172,172,172,173,173,173,173,174,173,173,171,183,145,131,180,173,175,174,174,173,173,172,172,171,171,169,169,168,172,173,174,174,174,175,174,174,174,174,174,185,129,130,182,174,175,176,175,175,174,174,174,172,172,171,170,170,174,174,175,174,176,176,175,175,176,173,182,181,107,144,183,175,176,178,177,175,175,175,174,174,173,172,171,170,174,175,175,175,177,177,176,177,178,174,188,179,100,154,183,177,178,178,178,177,177,176,174,175,174,173,173,172,175,176,176,177,178,178,177,178,179,175,193,167,103,169,183,178,178,179,178,178,178,178,177,177,174,174,174,174,177,177,177,178,178,177,178,179,179,178,194,145,109,179,178,180,182,178,183,181,176,178,178,179,178,175,175,175,177,177,178,179,179,179,179,178,178,183,191,142,110,188,176,144,164,181,157,169,184,180,182,173,173,177,176,177,178,179,179,179,179,179,180,180,177,188,189,149,117,204,185,143,126,179,134,121,143,146,163,155,117,174,178,176,178,179,179,179,179,179,179,181,177,192,188,147,147,214,191,166,115,160,152,115,103,129,149,152,83,168,181,176,178,179,180,180,180,180,181,180,179,193,184,147,171,213,202,176,111,138,155,116,154,137,160,163,88,167,181,176,178,178,180,180,180,180,181,179,185,185,172,168,171,193,206,175,115,123,144,127,169,134,164,174,115,153,187,177,177,178,179,179,180,180,181,181,190,164,168,177,167,162,206,179,122,103,130,146,159,125,158,175,147,121,183,180,177,178,179,179,180,180,180,182,192,154,150,170,154,156,195,185,125,85,115,153,151,105,142,178,142,95,171,183,178,179,179,179,180,180,179,183,198,153,125,146,140,132,180,185,119,78,107,154,142,95,155,166,113,111,185,178,178,179,180,180,180,181,179,187,206,162,115,126,119,115,148,181,141,77,99,163,133,106,163,134,90,155,186,178,179,180,180,180,180,181,180,195,206,179,114,118,118,116,136,171,156,77,96,150,114,143,139,97,108,185,179,179,179,179,179,180,180,182,182,197,203,188,126,104,118,113,129,162,122,98,153,160,147,166,125,80,153,187,180,182,179,179,179,180,180,180,181,200,202,195,129,108,127,115,147,182,166,176,174,161,142,144,121,81,175,184,181,182,178,180,182,185,186,186,184,199,202,192,129,117,127,127,177,192,192,186,169,160,132,116,97,109,188,182,183,184,117,121,125,126,129,127,146,203,199,186,133,140,123,152,198,197,194,188,173,152,123,98,81,155,189,181,178,174,90,90,91,90,91,84,108,208,200,186,152,146,128,154,202,201,197,180,165,138,112,89,87,106,106,111,133,163,98,99,99,99,99,98,103,196,201,191,161,147,142,146,203,204,186,166,154,122,99,85,87,99,127,161,183,184,99,99,98,98,98,99,93,185,200,184,159,147,144,148,206,194,175,152,134,107,86,101,147,176,193,190,191,185,99,98,97,98,100,100,97,186,190,172,156,147,139,162,198,177,162,132,114,96,75,175,206,174,167,169,173,183,97,97,97,97,98,96,109,194,182,166,154,149,145,168,174,166,146,117,111,84,107,178,190,192,173,158,163,165,97,97,97,97,100,91,121,199,174,164,157,152,152,165,164,158,136,110,105,90,162,168,157,176,185,161,135,131
20,128,129,130,131,131,131,132,131,132,133,132,131,131,131,131,129,129,127,125,124,123,121,119,118,117,116,114,112,132,132,132,134,134,135,134,134,135,136,135,134,134,133,130,131,131,129,129,127,125,124,121,120,119,117,115,115,136,136,138,137,137,139,138,137,138,139,138,139,136,144,138,90,135,137,130,131,129,128,126,124,123,120,118,117,139,140,142,141,141,141,143,143,142,142,142,142,140,147,150,75,95,122,137,132,132,130,130,127,126,124,122,120,143,144,145,145,146,145,146,145,145,146,146,146,145,149,150,72,54,76,125,140,135,133,132,131,128,127,125,122,147,147,148,149,149,150,150,149,149,149,150,150,147,155,147,55,87,95,94,149,138,138,136,135,132,131,129,127,150,150,151,152,153,153,153,153,153,153,153,154,150,161,147,56,110,115,72,150,143,142,139,138,136,133,132,131,154,155,155,156,156,157,157,157,157,157,158,158,152,170,152,65,112,127,69,146,147,145,143,142,139,137,135,133,158,158,158,158,159,159,160,159,160,161,161,160,155,178,136,57,122,146,73,139,153,148,147,146,144,140,138,137,161,160,161,161,161,163,162,162,162,164,164,162,162,188,122,62,142,144,69,135,158,151,149,148,147,144,141,140,164,164,164,165,166,165,165,166,165,166,166,149,135,164,133,75,150,144,64,130,162,152,152,151,149,147,145,144,167,167,167,168,168,168,169,168,168,168,169,177,162,132,112,74,123,150,80,128,163,155,155,153,151,149,148,145,168,169,169,170,172,172,172,170,170,171,170,155,174,152,125,98,104,146,85,121,168,157,157,156,154,151,150,148,170,172,173,173,174,173,173,173,173,172,176,143,102,138,159,98,58,98,73,112,171,159,160,158,157,154,152,150,173,174,174,174,175,174,175,175,175,175,178,163,48,106,158,107,56,48,49,101,175,160,161,160,158,156,153,151,175,175,175,175,176,175,176,176,176,176,179,156,65,80,144,137,87,73,40,83,177,164,164,162,161,159,155,153,176,176,177,177,176,177,178,177,178,174,170,149,113,71,63,123,117,98,48,61,177,165,165,164,162,160,158,155,177,178,178,178,179,179,180,180,179,174,168,156,139,101,56,86,114,100,57,46,170,170,168,167,163,161,160,157,179,180,180,181,180,181,181,181,175,165,122,115,148,125,78,65,98,131,92,40,149,179,168,168,167,165,161,158,181,181,182,182,181,182,183,182,172,167,136,64,84,129,64,46,73,133,123,54,87,184,170,169,168,166,163,161,183,183,183,184,184,184,184,184,174,161,129,86,44,90,64,41,94,153,147,83,44,168,176,171,168,168,166,163,184,185,185,186,186,185,185,187,173,164,156,112,55,78,84,65,153,171,139,79,47,170,177,173,171,169,167,164,185,187,187,187,188,187,187,189,173,167,169,111,77,83,132,156,182,148,124,50,69,184,174,175,173,169,166,165,188,188,188,189,189,188,188,191,175,164,163,127,90,80,166,191,168,128,107,38,106,189,173,175,174,170,168,167,188,188,189,190,190,190,189,193,177,152,148,130,93,79,156,169,147,112,86,39,142,187,175,175,174,172,168,167,187,187,188,188,188,189,189,192,182,150,147,129,102,87,150,165,135,99,63,44,173,181,176,175,174,172,172,177,188,189,189,189,189,190,191,190,191,159,143,132,117,88,141,158,120,81,34,91,191,177,176,174,174,177,165,116,190,190,190,190,190,191,192,192,194,168,150,134,114,84,111,127,88,55,26,155,187,178,178,175,167,124,66,20
7,196,197,199,200,200,200,199,199,199,199,198,197,197,196,196,194,194,192,191,191,190,190,188,192,161,68,58,70,198,198,200,201,201,202,202,201,200,200,200,199,199,198,201,196,195,194,192,190,192,188,187,193,182,148,126,116,199,200,202,204,204,204,204,204,203,204,201,199,201,193,176,187,190,187,174,175,171,174,197,184,159,114,187,184,202,203,204,206,205,205,206,205,204,202,203,204,206,195,173,178,197,193,173,168,162,166,201,166,148,142,206,150,203,205,205,206,206,206,206,206,210,214,221,221,214,191,180,184,170,159,162,149,150,138,136,158,174,152,146,126,204,206,207,208,209,208,200,206,219,225,225,216,208,200,197,193,169,135,162,171,158,153,142,143,127,150,145,176,206,207,210,208,221,225,210,205,211,214,210,207,206,204,203,188,168,155,162,169,159,159,153,135,114,143,142,151,207,208,210,212,239,230,218,205,206,212,211,209,208,204,201,188,166,152,140,132,125,126,119,114,110,112,128,186,209,211,209,226,243,231,209,187,192,207,211,207,198,184,169,152,136,143,137,139,146,155,158,158,168,177,184,178,211,213,210,240,238,226,196,179,195,188,179,172,159,151,143,131,126,151,216,209,208,209,208,206,203,200,201,164,213,209,224,245,234,221,205,200,191,176,177,182,179,173,168,165,173,117,128,200,207,204,203,201,198,197,197,196,213,211,241,242,237,233,233,219,186,184,189,187,181,166,163,159,152,124,59,124,216,204,205,203,201,199,197,197,209,223,247,242,240,240,241,219,171,171,179,174,168,158,152,144,132,112,70,96,214,206,207,205,203,201,199,198,213,242,246,244,241,238,231,204,175,167,145,126,124,140,152,159,168,144,81,158,214,205,208,206,205,204,201,198,233,248,245,243,241,231,221,204,187,170,150,140,156,188,187,169,174,154,150,221,207,208,208,207,205,204,202,199,243,246,247,243,235,226,215,194,178,186,173,165,182,180,167,158,155,124,151,222,209,210,208,208,206,205,203,201,246,246,244,241,231,215,190,181,198,203,179,170,172,163,158,150,139,95,170,221,212,212,209,208,208,206,204,202,246,245,242,237,223,203,200,211,219,206,186,162,144,130,118,103,98,135,213,214,214,214,212,209,207,207,205,202,245,240,233,225,217,214,217,214,208,192,165,140,108,147,123,137,185,217,218,217,215,214,212,211,208,206,205,204,238,232,224,221,219,222,214,196,192,181,161,124,154,223,223,225,225,218,219,216,213,213,213,213,209,208,207,204,228,221,224,220,215,213,205,192,190,168,122,150,228,222,221,220,219,220,220,217,216,214,214,213,211,209,208,205,220,212,215,214,205,199,193,185,165,121,135,226,224,222,221,220,220,220,219,217,217,217,214,213,212,210,206,202,217,213,207,199,187,183,176,161,119,127,219,226,221,221,221,221,220,220,218,217,215,215,214,212,208,210,211,196,215,206,195,180,166,162,146,110,131,216,228,225,223,223,222,221,220,219,218,217,217,216,213,210,218,187,118,163,196,181,167,149,139,123,101,142,222,229,224,226,225,225,222,221,220,220,219,217,216,214,216,218,196,107,58,63,173,159,150,142,120,119,175,231,228,225,226,226,225,225,223,222,221,221,218,218,223,224,204,149,88,65,61,57,167,164,146,121,119,222,235,225,225,226,226,226,225,225,223,221,222,223,225,215,187,143,91,65,63,67,62,60,187,175,147,108,133,237,224,227,225,225,225,226,225,224,223,221,215,206,167,115,73,53,58,61,57,58,59,59
14,143,143,144,145,145,145,145,145,145,145,144,144,144,143,140,140,140,138,137,137,135,134,133,132,131,129,127,126,145,145,145,146,147,148,147,148,147,147,147,145,145,144,143,143,142,140,139,139,138,136,135,134,133,132,131,130,146,147,147,148,149,150,150,150,149,148,148,148,146,145,144,143,143,142,140,140,138,138,137,136,134,132,132,130,147,148,149,150,150,151,150,151,151,151,149,149,150,146,144,144,144,143,142,141,140,139,138,137,136,133,132,131,149,149,150,151,151,152,153,152,153,154,153,148,141,150,151,151,146,144,144,143,141,140,138,138,137,136,134,133,150,151,152,153,153,154,155,155,152,140,132,125,85,97,103,127,144,149,148,144,143,142,140,139,139,137,135,133,152,152,153,155,154,155,156,150,132,114,94,72,50,57,75,81,101,113,133,147,145,144,142,141,140,139,137,135,152,153,154,155,155,155,156,147,120,84,58,49,52,47,62,74,84,69,98,157,144,145,143,141,140,140,138,136,153,154,156,157,156,152,147,129,92,43,38,41,42,39,43,46,61,48,64,133,149,145,145,143,141,140,139,138,153,155,157,158,157,143,132,103,59,43,36,36,40,40,43,42,49,58,57,65,144,147,146,144,144,142,139,138,155,156,157,158,156,139,119,67,44,47,42,41,41,37,39,41,42,57,51,76,156,147,147,145,144,143,140,140,157,157,158,157,158,145,122,63,42,41,41,46,40,58,135,122,127,67,52,60,125,154,148,146,145,144,142,140,157,159,160,159,159,145,123,73,40,37,38,46,36,118,170,161,166,144,92,64,71,97,139,149,144,144,143,141,158,159,160,160,158,146,121,69,46,48,41,31,95,166,157,158,155,162,144,83,86,68,117,155,145,145,144,143,159,159,160,161,158,150,124,75,56,53,46,50,158,162,162,159,159,157,101,87,86,67,132,153,147,146,145,144,159,160,161,163,159,152,132,92,66,51,42,63,164,161,162,160,163,129,83,88,74,76,154,150,149,147,145,145,160,162,163,162,156,151,137,96,72,52,35,87,177,161,160,164,153,86,76,83,58,109,160,150,150,149,147,145,161,162,163,162,153,153,136,102,77,52,40,60,140,162,168,164,113,79,70,72,47,141,155,152,151,149,147,145,160,162,163,161,154,150,134,104,75,52,50,46,56,76,135,118,78,86,79,48,102,161,152,153,151,150,148,146,161,162,164,161,153,156,137,103,81,57,49,54,60,62,66,64,73,80,59,86,163,155,154,152,151,151,149,147,161,162,165,159,153,160,136,102,80,59,47,54,61,67,71,66,69,71,68,156,159,156,155,153,151,150,149,148,162,163,166,156,155,158,131,98,83,62,47,54,61,64,71,72,63,49,133,166,157,156,155,154,152,151,149,148,163,164,166,155,156,153,128,98,87,65,47,53,63,67,69,71,50,87,167,157,158,158,156,155,152,151,150,148,163,164,165,154,157,147,123,100,88,66,47,56,67,71,72,57,63,163,162,160,159,158,157,156,154,152,150,149,163,164,165,154,152,137,118,96,85,64,46,56,68,68,66,39,112,173,160,162,160,157,157,156,155,152,150,149,164,165,165,153,146,135,116,95,81,64,48,55,65,65,49,61,165,163,162,162,161,159,157,156,154,154,151,149,163,166,164,154,141,133,111,90,75,61,48,53,60,56,41,139,171,163,163,162,161,159,158,157,155,154,152,150,163,164,163,153,136,129,107,87,70,57,47,50,50,39,119,175,164,165,164,162,161,159,158,157,155,153,151,150
2,210,214,217,219,219,220,221,223,223,222,222,222,220,220,221,219,219,220,221,217,212,210,209,208,207,205,203,201,214,216,218,220,220,222,224,225,224,225,225,225,227,227,225,223,221,214,204,213,223,215,211,209,207,205,205,202,216,217,220,221,222,223,224,226,225,226,226,212,184,186,194,191,178,170,151,127,169,211,219,215,209,208,206,204,217,219,222,224,223,224,226,226,226,228,227,202,174,171,178,180,170,155,145,115,95,136,169,192,215,209,209,206,217,221,223,224,226,226,228,228,229,232,214,189,193,192,191,187,173,144,121,126,131,126,131,142,215,209,209,206,218,221,223,225,227,228,229,228,231,226,192,182,198,199,187,177,172,146,134,142,159,156,118,130,217,211,209,208,219,221,224,226,227,227,229,230,232,222,201,193,185,169,156,181,193,119,99,121,132,125,114,184,220,212,210,209,221,223,226,227,228,229,230,231,233,223,195,195,186,169,159,156,126,142,202,174,151,159,214,223,214,214,211,210,222,225,225,227,229,231,233,233,231,220,216,202,178,154,126,120,144,217,236,233,231,229,221,221,223,222,217,210,223,225,225,228,232,233,232,232,210,209,205,181,144,80,148,229,235,233,226,225,225,222,226,206,164,147,192,217,223,225,228,229,231,231,234,228,201,198,179,146,92,48,156,248,229,232,231,228,225,228,207,137,102,93,129,219,223,226,228,231,232,234,232,220,192,178,142,91,70,67,144,245,230,234,231,227,231,212,147,112,106,98,123,221,224,228,228,230,233,234,228,219,202,169,102,65,79,71,160,245,230,233,229,233,218,150,118,118,107,87,174,223,225,227,230,231,232,234,227,222,201,168,105,68,82,70,142,254,232,232,234,235,158,100,102,109,92,121,224,214,225,227,231,232,233,234,230,221,196,161,98,73,83,76,74,188,240,242,234,180,119,86,88,93,89,203,223,215,226,229,231,234,234,234,226,219,196,148,93,88,83,77,78,78,130,195,151,112,106,107,89,87,188,228,217,218,226,228,232,234,236,234,226,220,194,147,110,98,82,81,85,90,87,94,89,90,102,101,94,196,232,223,220,218,226,228,232,234,236,234,225,217,194,158,117,95,80,81,82,90,97,101,94,96,105,89,192,234,223,224,222,218,225,228,232,234,236,234,218,209,194,155,122,101,79,80,82,89,96,103,101,94,79,160,243,224,225,223,221,218,224,228,232,234,236,233,215,206,189,154,132,101,76,80,85,90,96,105,110,89,104,228,231,227,224,223,221,219,226,229,233,234,236,232,215,206,184,158,129,99,79,79,86,92,98,103,106,83,197,240,228,228,226,224,223,221,226,229,233,234,237,230,210,213,198,158,127,107,80,78,88,95,101,107,90,108,239,232,232,230,227,225,224,221,226,228,232,234,239,225,209,223,203,156,126,107,82,76,90,97,102,106,72,179,243,230,230,229,227,224,222,220,224,227,229,232,235,221,213,222,194,152,125,110,86,73,92,99,102,80,111,238,232,230,229,227,225,223,221,220,222,225,227,230,234,217,214,214,186,145,122,111,89,75,90,98,87,79,209,239,229,229,228,226,224,222,219,218,223,226,227,229,234,216,211,205,175,143,125,111,91,76,89,90,69,182,242,229,231,228,226,225,224,222,219,217,223,224,226,229,232,213,207,191,162,139,121,106,87,78,79,79,175,244,231,232,230,228,226,226,224,221,219,217,220,223,226,228,228,211,196,182,157,132,118,103,90,74,88,203,242,232,232,231,228,226,224,222,221,219,218,215
1,169,170,170,170,171,170,171,171,171,169,169,169,168,167,165,163,163,165,162,162,161,160,158,156,162,111,56,51,170,171,172,171,173,172,172,172,171,170,170,170,169,167,167,170,162,144,162,163,162,161,160,157,163,89,52,54,172,172,173,173,174,174,173,173,173,173,171,170,169,170,158,150,168,112,140,170,164,162,161,159,163,76,57,55,173,174,174,175,176,175,174,174,174,174,172,171,171,173,155,97,137,117,109,141,144,166,161,159,163,97,56,46,174,175,176,176,176,176,175,175,176,175,172,169,166,180,153,93,111,113,107,139,101,162,163,160,168,97,51,49,175,176,176,177,178,178,176,175,176,175,175,167,124,138,145,86,126,125,107,146,91,150,167,160,168,104,45,51,176,177,179,179,179,179,178,177,177,175,180,160,104,103,150,87,127,137,92,133,88,143,169,161,167,135,90,101,177,179,179,180,179,179,180,179,179,177,181,154,98,107,143,88,106,121,93,149,95,135,172,163,166,143,148,152,178,180,181,181,181,181,181,180,179,178,187,159,106,99,123,83,105,106,96,154,101,121,174,165,166,144,141,118,179,181,181,182,182,182,182,181,181,179,191,148,103,103,124,85,124,115,93,140,97,119,176,166,167,154,140,102,180,181,183,184,183,183,183,182,182,181,188,147,101,116,138,90,113,116,90,136,96,123,177,167,168,162,148,136,181,182,184,185,184,184,185,184,182,184,192,152,122,97,117,76,94,93,106,148,105,123,177,167,168,167,152,146,182,184,184,184,184,185,184,184,182,187,183,145,108,81,81,71,91,69,105,141,103,117,179,168,169,167,164,143,183,185,186,186,186,186,185,185,184,189,178,145,128,124,110,106,90,92,113,120,85,127,181,169,169,168,168,158,185,186,185,186,186,186,186,187,183,196,187,158,152,130,168,128,127,122,141,117,73,156,177,172,170,169,168,168,185,186,186,188,188,188,188,188,185,205,179,154,132,105,146,148,149,138,132,115,92,169,175,172,171,170,169,167,186,187,188,189,189,189,189,188,190,204,170,133,114,96,81,125,145,128,137,133,94,142,182,172,172,169,169,167,187,188,189,191,190,190,191,189,193,208,176,146,125,94,82,77,102,114,159,152,107,109,183,172,173,171,170,168,188,189,189,190,191,191,192,189,196,204,175,157,121,103,97,78,143,134,140,169,127,85,164,178,173,173,172,169,190,190,191,191,192,192,192,190,197,198,175,159,111,109,88,119,177,162,139,149,135,80,125,184,172,173,171,169,190,191,192,193,193,193,193,191,196,196,180,160,107,112,95,161,179,163,146,124,117,90,106,184,173,174,171,170,190,192,192,193,194,193,194,193,196,196,182,148,115,102,117,182,177,160,135,124,100,77,133,184,174,175,173,170,191,192,193,194,194,195,195,193,197,193,177,144,130,92,135,183,168,151,127,115,98,74,170,180,175,174,172,172,191,192,193,195,194,194,194,193,193,188,172,150,136,94,148,180,158,141,125,109,78,103,188,177,177,175,173,174,190,191,192,193,192,192,192,191,188,184,169,156,140,102,150,169,146,135,121,97,67,157,184,176,175,173,173,172,191,192,193,194,194,196,199,191,187,186,167,161,139,100,142,155,135,124,110,69,106,188,178,177,177,180,182,136,192,194,194,194,198,187,173,196,182,175,169,161,117,97,124,135,119,107,78,81,178,181,181,183,174,159,122,74,192,193,194,193,204,144,75,118,150,153,149,127,92,97,108,117,101,83,62,157,189,182,169,125,87,65,57,64
4,159,161,160,162,164,166,168,168,168,168,168,168,168,170,168,169,167,168,169,169,169,168,170,169,168,167,166,166,161,161,163,166,167,168,169,169,169,170,169,170,169,169,170,172,175,172,170,170,174,172,170,171,170,168,169,169,164,165,167,169,170,169,170,170,170,172,172,174,175,176,168,145,133,163,163,132,135,175,176,173,175,172,171,170,167,168,170,170,170,172,173,173,172,173,173,161,155,162,187,176,139,106,114,148,116,89,159,180,175,176,174,174,168,169,170,172,174,175,175,176,176,178,177,174,152,108,112,186,169,109,41,79,128,53,81,192,174,175,176,176,171,172,173,175,175,176,176,173,173,161,178,187,169,117,54,101,174,103,50,14,93,63,58,188,176,178,178,177,173,175,174,176,177,177,176,178,174,114,86,126,175,126,56,11,152,123,71,4,78,94,57,182,182,180,178,180,175,177,178,178,178,176,180,177,178,120,45,27,153,155,77,0,115,178,111,18,71,131,67,180,183,181,181,181,175,178,180,179,181,178,182,147,142,130,84,2,123,186,78,44,129,174,119,44,39,114,95,190,182,183,182,183,176,178,179,181,183,181,184,156,81,131,132,30,66,163,84,35,73,118,110,40,24,56,39,173,188,183,184,184,177,179,181,182,183,182,187,164,121,117,120,54,34,65,62,52,47,67,78,37,46,80,47,95,199,183,187,186,179,181,184,183,184,183,190,182,157,119,77,45,42,56,50,63,68,59,52,40,117,128,112,67,160,196,186,186,182,183,184,185,185,185,192,181,143,118,85,63,65,70,72,90,92,97,110,105,122,154,138,84,80,199,187,189,182,183,185,187,187,186,192,175,129,99,81,66,81,92,116,127,143,164,185,178,145,137,108,69,30,156,198,187,182,183,186,188,188,187,192,181,141,110,90,77,99,101,142,178,159,178,178,172,158,129,93,53,28,108,208,187,184,186,188,190,190,188,191,197,161,125,93,84,97,106,168,178,166,176,174,167,147,125,92,57,25,134,203,188,184,187,190,191,191,191,188,196,174,140,107,85,96,117,172,178,177,184,181,165,149,127,87,48,44,186,195,192,186,188,189,190,192,192,190,195,189,155,120,89,116,119,162,183,190,195,189,173,150,110,79,35,99,210,194,196,187,189,190,191,192,193,191,193,196,168,130,104,131,131,152,186,197,199,203,187,141,96,69,34,157,205,195,196,188,190,191,192,193,195,192,188,193,187,135,114,134,141,161,187,201,206,209,177,124,95,52,57,201,198,198,196,190,191,192,193,196,197,196,183,181,187,148,121,133,139,166,191,196,209,189,146,109,90,35,111,215,197,199,198,192,192,192,194,196,196,200,178,175,187,166,135,128,136,162,190,187,186,158,126,99,74,31,174,207,198,199,198,192,193,193,194,194,194,200,187,169,186,176,153,137,141,158,178,180,157,135,110,80,41,94,213,200,199,200,198,192,192,193,193,195,196,198,199,169,167,170,160,148,144,144,150,154,132,110,79,47,50,192,205,201,202,202,200,188,190,191,192,193,194,195,201,177,161,169,158,149,143,128,128,138,120,89,60,22,128,214,198,201,202,203,201,190,190,190,192,193,195,196,201,180,168,164,149,141,136,117,112,122,106,61,46,33,183,206,201,201,200,201,200,192,192,193,195,196,196,196,200,185,168,151,121,129,128,119,117,110,88,56,35,64,208,201,203,203,200,201,201,192,193,195,196,196,196,197,201,189,170,161,135,151,147,135,122,106,86,66,27,96,213,200,204,203,202,200,201
24,169,172,173,176,179,181,181,182,184,185,185,187,186,187,187,187,187,187,187,186,186,185,186,185,185,183,182,181,171,174,176,179,181,184,184,185,186,187,187,188,189,189,188,189,190,190,189,189,188,188,188,187,187,185,184,183,172,175,178,180,183,186,186,187,188,190,190,191,192,191,190,191,192,192,193,192,190,189,190,190,188,187,185,185,174,176,179,181,183,185,188,190,191,193,193,193,194,193,194,194,195,193,194,193,192,192,192,192,191,190,189,188,175,177,180,183,184,187,191,192,193,195,194,195,195,195,196,197,197,196,197,196,195,196,195,194,194,193,192,190,178,180,183,186,188,194,189,193,195,195,195,196,197,198,198,199,199,200,200,199,196,197,197,196,196,195,194,192,179,182,186,187,205,216,162,193,197,198,198,199,201,201,199,200,201,200,201,200,199,199,199,199,197,196,196,194,182,185,188,190,204,225,162,178,201,201,200,199,202,201,201,202,203,228,217,183,199,202,201,201,200,200,199,196,183,186,189,193,194,225,190,161,201,203,201,210,199,206,236,202,181,246,231,169,161,206,202,201,202,201,201,200,184,187,191,194,194,210,234,185,179,203,214,245,209,207,249,219,164,222,238,180,128,197,205,203,203,202,202,201,186,190,193,195,198,198,236,214,163,192,229,254,234,198,242,232,175,202,237,182,119,186,210,207,206,206,205,185,188,191,195,198,200,199,214,232,211,193,218,255,242,198,220,233,178,174,219,167,110,179,212,209,206,214,195,148,189,193,196,200,201,203,203,230,238,225,222,249,247,208,186,231,187,141,189,151,103,155,218,209,194,200,168,132,192,196,198,201,203,206,206,211,238,229,243,248,240,199,157,210,190,123,149,155,101,111,195,187,196,185,135,166,194,196,199,202,204,206,208,207,231,245,234,221,222,191,153,168,176,131,141,171,117,149,171,197,194,141,153,210,195,198,201,203,206,207,209,209,224,248,215,192,189,207,190,143,191,151,128,182,200,223,209,191,160,138,203,212,196,200,203,205,207,209,211,213,219,246,223,201,193,205,199,176,191,165,171,240,241,222,197,161,131,171,218,212,197,201,203,206,208,211,214,215,216,251,248,220,194,198,220,231,214,216,243,244,230,213,186,147,138,207,217,215,199,201,205,208,209,212,215,216,213,242,255,235,207,196,224,245,253,255,252,241,225,202,172,133,170,222,217,216,200,203,207,209,212,213,216,216,214,235,255,245,226,210,214,244,254,255,248,240,224,191,149,133,208,221,219,216,201,205,207,208,212,215,217,219,218,228,255,252,239,226,219,239,253,255,245,238,216,183,135,167,224,221,220,218,202,206,207,211,214,216,218,220,221,222,249,254,244,231,219,229,244,246,236,220,197,170,141,213,225,222,222,220,203,207,210,213,215,217,219,222,223,222,234,255,245,224,207,218,227,225,211,191,162,130,180,229,226,224,223,224,203,208,210,214,216,218,219,222,224,226,230,254,236,208,191,195,203,207,191,162,124,138,226,226,225,225,225,224,203,207,210,214,215,217,218,177,161,165,174,212,195,190,194,200,213,201,178,144,103,191,237,226,225,225,225,224,204,208,211,214,215,219,221,152,127,126,108,103,100,106,103,107,104,96,94,90,81,132,181,228,227,225,224,223,204,209,213,215,216,220,227,165,128,127,108,95,86,76,67,58,50,48,46,44,46,37,106,232,227,227,227,225,206,209,213,215,217,220,228,177,130,124,108,93,86,76,68,59,52,49,48,46,44,41,184,235,228,228,228,226
5,125,131,135,137,143,148,152,155,158,160,160,164,166,167,168,169,170,170,169,168,168,167,167,167,165,164,164,163,126,132,136,138,144,150,155,157,157,171,167,130,170,168,170,170,171,171,171,171,170,169,168,168,166,166,166,165,128,135,137,141,146,152,156,160,154,192,162,117,170,171,171,171,172,172,172,173,171,171,170,170,169,167,167,166,129,136,138,141,148,152,156,158,164,210,122,137,175,171,172,173,173,173,173,170,172,169,170,170,170,169,168,166,129,136,139,140,147,154,159,154,190,210,105,159,175,173,174,175,175,172,173,184,198,129,152,176,171,170,168,168,131,138,137,155,150,149,162,152,210,198,113,169,174,174,175,178,173,179,210,195,155,119,164,176,172,171,169,169,132,140,131,190,160,117,167,157,224,179,120,175,175,176,178,175,185,226,198,126,125,169,176,174,174,173,171,170,132,141,131,195,153,114,167,164,232,161,122,180,176,178,175,186,225,203,137,119,173,180,176,174,174,174,172,172,134,142,136,211,140,124,166,174,231,149,116,181,176,176,186,219,189,130,127,177,183,178,178,177,176,175,174,172,135,142,140,209,149,118,166,179,221,162,110,174,179,179,213,199,122,116,177,184,181,179,179,178,177,177,175,173,135,145,138,198,178,110,165,174,218,165,103,169,184,189,202,155,107,160,189,180,182,182,181,179,180,178,177,176,137,146,140,180,203,116,130,170,211,164,91,149,181,168,152,119,135,185,180,181,184,183,181,181,175,177,179,177,139,145,143,164,208,164,144,132,183,186,122,103,123,127,114,121,174,175,206,212,208,204,196,184,126,147,189,175,140,146,148,155,177,190,183,155,153,172,130,104,105,112,111,142,161,187,180,167,178,196,183,166,136,110,166,183,140,147,149,155,159,168,187,201,205,179,131,101,101,104,123,128,130,148,116,108,191,203,163,136,122,115,163,185,141,147,148,155,164,163,168,208,230,205,146,101,101,101,111,121,114,96,127,182,215,168,119,132,170,183,185,182,143,148,150,156,163,171,170,189,225,217,160,106,98,96,102,111,94,135,200,192,189,125,114,186,192,186,185,184,143,148,151,158,164,170,175,174,213,229,184,122,95,96,94,92,82,140,172,177,187,119,146,197,186,187,187,185,145,149,151,159,165,170,176,174,205,234,200,147,101,91,90,98,112,136,146,172,176,115,165,196,189,188,188,185,143,149,151,159,164,168,174,176,190,239,216,172,116,91,92,102,114,146,163,158,161,115,173,196,189,189,188,186,143,148,150,157,164,169,174,175,186,240,228,194,138,95,94,100,125,159,162,139,130,106,178,195,190,188,187,186,143,148,151,158,165,172,177,177,186,238,229,204,157,107,91,108,139,163,155,123,107,132,195,192,192,189,188,187,145,151,151,159,166,171,176,178,184,232,232,207,176,124,97,100,143,156,147,112,108,187,197,193,192,190,189,188,144,150,151,158,164,171,175,179,181,218,234,210,188,144,113,97,132,149,134,105,123,199,193,193,192,190,187,187,142,148,152,159,166,173,178,184,183,211,228,221,199,170,129,105,109,134,122,102,159,207,198,198,198,195,194,195,135,139,143,147,149,154,156,161,155,202,235,233,209,177,135,114,106,120,110,108,156,164,160,160,160,160,161,151,104,104,104,106,104,102,102,107,92,186,248,231,205,163,130,117,109,110,110,104,95,94,92,93,93,90,87,138,109,110,110,110,110,108,110,115,99,182,241,221,184,135,120,112,110,112,108,102,102,102,101,101,98,104,180,219
14,147,151,155,157,158,161,162,164,165,167,166,168,169,167,167,168,167,166,166,166,165,164,163,162,161,160,159,158,148,153,156,159,161,163,164,165,167,169,169,170,170,170,169,168,170,171,170,167,165,166,166,164,162,163,161,161,150,155,158,161,163,164,166,168,169,171,171,171,171,171,171,171,151,155,168,169,169,166,165,165,164,163,163,163,151,157,160,162,164,166,168,170,171,171,172,172,172,171,171,158,150,137,142,135,157,176,165,164,166,164,164,164,153,158,162,163,165,168,170,171,173,173,174,174,172,184,184,175,166,150,122,104,101,128,170,172,165,166,165,165,154,158,163,165,167,170,171,173,174,175,177,172,182,202,172,148,184,158,126,85,70,70,87,153,174,165,167,165,155,160,164,167,169,171,172,173,175,177,176,183,198,196,152,74,124,113,146,108,54,77,52,57,149,174,166,168,156,161,165,168,170,173,174,175,177,178,179,196,179,140,108,68,55,74,154,135,76,74,76,54,65,171,170,169,158,162,166,169,172,173,175,177,178,183,192,205,159,98,66,50,49,48,117,149,100,79,96,81,59,124,179,168,158,162,167,170,173,174,177,179,178,192,207,204,169,125,86,67,58,50,56,107,117,79,87,76,83,77,164,174,160,163,167,171,173,176,178,179,182,199,210,193,148,113,84,63,64,56,110,162,180,158,108,81,82,64,119,180,160,165,169,172,174,177,179,178,189,210,206,161,108,74,65,58,50,89,190,185,179,185,185,121,83,87,109,180,162,167,171,172,177,178,182,176,197,210,194,171,128,78,58,44,70,182,190,180,182,182,179,111,121,82,114,185,163,168,171,175,178,179,180,181,210,203,183,174,131,93,62,37,45,85,158,189,179,191,151,109,124,76,88,186,165,170,172,175,179,184,175,200,214,195,181,175,124,97,53,42,49,49,64,162,197,162,93,107,115,81,58,156,166,170,174,177,180,180,184,214,203,182,187,170,128,100,52,46,59,68,67,78,113,85,97,114,101,79,53,144,166,170,176,178,182,178,200,215,200,187,188,163,131,94,52,60,80,81,81,77,64,83,100,112,100,61,112,184,167,172,176,179,181,183,215,213,201,186,175,161,127,82,58,76,92,94,91,90,82,83,103,95,70,121,187,182,169,173,177,180,180,194,219,208,194,177,165,155,114,83,67,88,96,98,95,89,87,83,84,71,139,191,183,183,170,174,178,181,180,209,217,201,185,172,156,141,107,86,78,90,101,96,94,82,87,67,63,153,196,183,185,185,171,175,178,181,183,217,211,195,181,163,147,134,107,91,79,89,102,92,87,78,66,96,166,195,187,187,186,184,172,176,181,181,192,223,207,188,174,158,140,124,113,88,79,85,92,90,80,63,140,196,194,189,190,189,187,185,173,177,182,180,208,220,201,176,151,145,136,124,96,79,81,80,84,71,66,147,203,191,190,191,190,188,188,187,173,177,179,193,221,209,191,161,159,150,120,96,75,81,84,66,75,106,170,202,192,193,192,191,190,189,189,188,175,183,175,196,213,200,188,167,157,127,112,93,80,79,68,116,180,202,202,195,196,195,192,191,190,190,190,189,168,172,162,197,209,200,182,167,142,110,104,87,80,59,117,213,204,198,198,197,196,195,194,194,192,192,191,189,70,27,101,213,203,193,176,156,125,100,95,83,69,73,185,202,198,200,199,197,197,196,196,195,193,192,191,190,60,29,81,187,200,186,172,146,109,91,85,77,52,136,207,198,200,199,199,198,198,197,197,195,193,193,191,190
24,112,119,125,129,131,135,137,139,142,144,146,149,151,153,154,155,156,157,158,159,161,162,163,163,163,163,163,163,114,120,126,130,133,136,138,141,143,145,147,151,152,154,155,157,158,159,161,163,164,164,164,163,163,163,164,165,116,122,127,130,134,137,139,142,145,147,149,152,155,156,156,158,159,161,163,164,164,165,165,164,165,166,165,166,117,122,129,133,136,139,139,143,145,148,150,153,156,157,157,160,161,163,164,165,165,166,168,165,167,168,167,168,118,124,130,134,137,139,142,144,147,150,153,154,156,156,158,161,163,164,164,166,168,169,169,168,169,168,168,169,120,125,130,135,138,146,135,146,148,151,153,156,157,158,160,163,163,165,166,167,168,169,168,169,169,170,170,169,120,126,131,133,155,152,101,143,150,152,154,158,159,160,163,164,165,166,168,168,168,169,170,171,171,172,171,173,121,128,133,134,172,126,100,148,151,154,156,158,160,161,164,164,166,168,168,171,173,174,171,171,173,174,173,173,123,130,130,148,173,107,113,153,150,156,160,160,161,166,166,166,167,169,169,161,140,152,174,172,174,174,174,174,123,132,127,167,163,96,129,154,155,151,144,160,159,143,156,171,168,172,147,114,95,102,174,176,175,175,175,175,124,131,132,185,144,124,139,140,173,153,110,138,160,133,113,156,176,162,117,90,91,138,178,175,176,176,176,176,127,130,141,188,145,184,151,130,171,150,101,143,151,135,100,119,190,145,103,89,157,181,175,176,177,177,177,177,127,127,157,186,175,192,159,130,166,141,94,138,142,117,88,150,171,127,91,124,187,174,177,178,179,178,178,179,128,126,168,185,173,209,159,125,160,135,87,78,125,120,127,161,132,104,90,167,179,178,179,180,179,180,180,180,130,126,176,198,170,198,153,113,166,121,103,115,151,156,141,136,124,88,121,186,178,181,181,180,180,180,181,181,128,137,187,186,166,180,139,99,161,167,175,179,159,138,122,112,115,88,157,186,180,181,181,182,182,181,181,182,122,161,169,155,143,158,147,123,185,202,186,170,150,130,110,103,100,100,182,182,182,182,182,183,184,184,183,183,127,190,172,150,134,133,149,192,206,194,185,171,143,120,102,100,86,133,191,182,184,184,184,184,184,184,184,184,148,207,173,155,144,124,150,212,194,184,175,153,132,111,97,94,82,163,188,184,185,185,186,186,185,185,185,185,178,209,173,167,158,167,197,204,187,171,161,140,118,104,96,93,87,172,188,185,185,185,186,187,187,187,187,186,196,210,182,174,166,188,198,185,171,157,149,129,109,100,96,88,103,187,185,186,187,187,186,189,188,187,187,187,200,218,190,176,164,177,186,175,165,146,142,119,104,94,92,81,150,191,185,187,187,188,188,189,189,188,188,188,189,223,194,183,169,173,183,178,160,145,136,113,98,89,74,122,190,186,187,188,189,189,189,190,190,189,190,189,168,215,190,178,177,169,168,173,151,132,123,106,87,77,128,182,185,186,188,189,190,191,191,189,189,191,192,191,156,199,192,181,182,169,154,166,150,129,115,95,71,129,189,184,186,188,188,189,190,191,192,191,192,192,192,192,148,196,194,182,172,167,148,158,145,127,111,79,95,179,182,184,187,188,189,190,190,191,192,192,192,193,193,192,148,203,196,176,160,166,148,148,141,123,111,77,129,189,182,185,187,189,189,191,192,191,192,192,193,193,194,193,154,203,196,169,151,169,145,141,142,120,105,80,137,188,182,186,188,189,191,192,193,193,193,194,194,194,195,195
21,27,37,52,69,79,88,94,98,102,104,107,115,117,120,121,124,126,128,130,131,131,131,132,133,133,133,133,133,28,39,56,72,81,90,96,97,105,135,67,78,125,120,124,127,128,130,131,133,135,135,135,135,135,135,135,134,30,38,59,74,84,92,98,99,114,151,55,54,130,120,127,129,130,132,131,135,135,136,137,137,138,137,137,137,32,39,60,76,85,92,98,102,114,147,68,50,127,124,128,131,133,133,134,137,141,140,139,140,140,139,140,138,35,42,62,78,87,95,101,104,114,141,74,44,123,127,130,131,135,136,138,134,101,131,144,142,142,141,140,141,36,46,65,78,90,97,101,106,114,142,89,45,119,130,131,135,137,136,143,115,44,102,152,143,144,144,144,144,37,48,68,80,91,99,104,109,114,141,97,45,108,135,133,137,139,144,138,94,48,134,150,144,146,147,146,146,39,50,69,82,92,101,107,112,111,141,100,45,89,140,134,138,139,150,124,66,75,157,145,147,147,148,147,146,39,51,71,83,92,101,107,112,112,153,109,49,80,142,135,137,145,144,106,53,126,155,149,150,149,149,148,148,40,52,75,86,93,101,107,113,113,163,119,61,81,142,135,140,143,122,77,71,155,148,152,152,151,150,150,149,41,56,75,85,96,102,107,112,112,147,105,59,73,145,136,146,142,113,46,115,158,150,153,153,153,153,153,151,42,57,76,86,97,102,114,131,93,116,79,45,67,146,136,143,140,87,63,155,152,152,153,153,153,154,154,153,43,59,78,89,98,96,142,175,93,72,49,32,62,127,127,135,122,48,114,161,152,154,155,155,155,155,155,154,45,61,80,89,99,99,134,144,88,42,25,33,71,114,122,116,71,55,156,152,154,156,156,156,156,156,155,155,45,63,81,91,94,129,155,98,79,49,12,21,56,94,100,81,34,110,162,153,155,156,156,156,157,157,157,156,46,66,81,90,99,179,149,129,100,87,30,14,45,66,81,58,50,153,154,156,156,158,158,158,158,157,157,157,48,67,83,88,122,147,140,162,149,106,48,19,35,47,63,34,94,163,152,156,157,159,158,158,158,158,158,158,50,70,84,87,141,125,133,158,155,80,36,26,25,41,42,24,129,161,156,158,158,159,158,158,160,160,158,158,51,70,83,92,156,114,93,73,105,73,45,32,26,25,31,27,133,161,156,159,160,160,162,161,161,160,159,158,52,72,82,104,150,89,75,72,88,86,56,33,26,26,27,23,128,163,157,160,161,162,163,164,162,161,161,160,54,74,79,115,156,116,111,82,84,124,65,43,34,29,24,24,134,163,160,161,161,162,163,163,163,162,162,161,56,75,79,120,153,133,107,79,156,172,83,68,48,24,22,27,143,162,159,162,163,163,163,164,164,163,163,163,57,75,79,120,167,135,94,104,184,148,94,70,52,24,19,42,154,159,161,163,163,163,163,164,164,163,163,163,59,77,81,117,160,110,100,114,164,115,82,59,53,32,15,65,164,157,161,162,164,164,164,165,165,165,165,164,60,77,85,108,142,105,117,107,150,109,93,56,43,32,11,87,167,157,161,163,164,164,165,166,166,166,165,165,62,76,85,102,124,125,135,106,151,109,92,77,35,28,14,102,168,157,162,165,165,166,167,167,167,167,166,165,60,72,85,94,124,149,116,100,150,100,73,62,32,23,19,126,161,156,162,164,163,164,165,165,166,166,166,166,59,72,85,92,116,143,117,90,120,84,53,38,26,17,26,139,157,156,159,160,161,163,164,165,166,165,165,165
1,155,157,159,161,162,163,164,164,163,164,165,166,166,166,166,166,166,166,169,166,166,167,168,166,165,165,165,165,158,160,162,164,165,165,165,167,167,167,169,169,168,168,170,169,171,168,159,170,169,169,170,169,168,167,169,168,162,163,166,168,168,168,169,170,170,172,172,172,171,175,152,163,183,178,115,167,175,172,171,172,171,170,169,168,165,166,169,170,171,171,173,173,173,173,174,172,179,192,124,150,191,168,108,169,170,175,175,174,173,172,171,170,167,169,173,174,175,175,176,175,177,177,177,174,190,186,117,159,192,151,115,178,145,142,182,175,176,175,174,173,171,173,176,177,179,179,179,178,179,180,175,148,186,173,117,171,193,137,123,187,149,114,185,178,178,177,176,176,173,175,179,180,181,181,183,183,181,192,175,126,165,163,122,181,199,140,140,196,150,114,184,181,181,181,179,179,176,179,180,181,182,185,186,186,183,199,166,123,162,161,132,184,190,136,151,199,142,118,188,183,183,182,182,181,179,181,182,184,186,188,187,187,186,199,153,127,157,145,126,172,176,127,162,203,141,125,193,186,185,185,184,183,181,183,185,187,188,190,190,188,188,204,155,135,151,147,111,179,173,124,179,199,139,133,199,189,188,188,187,187,183,185,187,189,190,191,192,191,192,205,146,127,153,162,113,190,178,130,190,186,133,144,200,190,192,192,190,189,185,187,188,191,192,193,193,192,196,209,164,121,141,150,107,183,158,134,200,191,130,158,201,191,194,193,192,192,187,190,192,193,194,195,195,193,197,209,159,112,138,136,108,167,137,147,203,184,126,172,203,196,196,194,193,193,188,191,193,195,197,197,198,195,201,210,168,141,161,185,175,184,183,143,163,181,122,184,202,198,198,197,196,195,189,192,194,196,198,198,200,197,209,210,174,151,127,159,194,191,193,166,122,149,122,196,202,200,199,198,198,198,192,194,197,197,198,200,201,198,216,198,162,136,115,111,137,150,200,200,144,97,123,206,202,202,202,200,199,198,192,195,198,199,200,201,201,201,221,199,162,129,121,125,131,152,206,216,183,102,135,213,202,203,203,202,201,200,195,198,199,201,202,203,203,205,222,197,156,133,133,136,162,191,183,209,191,124,145,216,203,205,204,203,204,203,197,199,201,202,203,204,204,208,221,193,159,132,142,140,185,210,194,177,163,132,119,209,206,206,205,204,204,204,198,200,202,202,202,204,205,212,219,195,164,144,147,157,208,212,190,170,138,114,124,212,207,207,207,207,206,206,200,201,203,204,204,206,207,212,218,195,164,153,142,173,219,215,181,158,129,98,139,218,208,209,208,208,208,207,202,203,204,205,206,207,208,210,215,193,169,160,144,170,219,210,172,148,120,96,170,219,210,210,210,210,208,208,202,203,204,207,207,208,208,209,210,194,176,170,147,165,217,190,162,135,109,118,212,213,211,210,211,209,210,210,201,204,206,207,207,208,209,210,208,197,178,172,145,171,209,180,157,125,98,157,221,212,213,212,211,212,213,212,202,205,207,209,209,209,212,211,215,198,180,170,138,173,192,167,147,115,101,196,220,213,214,212,212,213,213,211,203,205,208,210,210,211,210,209,217,202,187,162,141,171,167,150,137,102,128,220,215,216,216,215,215,214,214,213,203,205,206,208,210,212,206,212,217,215,196,165,151,169,157,147,127,101,181,222,216,217,217,217,217,215,215,214,202,205,206,207,208,208,205,213,210,204,192,164,159,158,149,136,105,138,221,216,217,216,218,217,217,215,215,215
24,153,156,158,162,163,164,166,168,169,169,170,170,170,171,171,171,171,171,172,172,172,172,172,172,171,170,169,169,155,158,161,164,165,166,169,170,170,171,172,172,172,173,173,174,174,175,175,174,174,175,174,174,173,172,171,171,157,160,162,165,168,170,171,172,173,173,174,174,175,176,175,176,175,176,175,175,175,176,176,176,175,174,174,173,158,161,165,168,170,172,173,174,175,175,175,175,176,176,178,178,178,178,177,178,177,178,178,178,177,176,176,175,161,166,166,170,172,173,174,176,176,177,178,178,179,179,180,179,180,180,180,181,180,180,180,180,178,178,177,176,147,138,173,171,174,175,176,178,177,179,179,180,180,180,181,181,181,182,182,182,182,182,182,181,180,179,179,179,139,97,173,174,175,176,178,180,180,180,182,183,183,182,183,183,184,185,183,184,184,184,183,185,185,184,185,180,138,90,167,175,177,179,180,182,185,186,184,178,174,188,184,185,186,185,185,186,185,186,186,181,170,146,148,187,128,79,169,179,179,180,185,181,162,160,185,159,128,141,190,186,185,186,187,187,187,187,180,156,136,91,133,191,120,78,168,181,176,146,150,186,149,117,162,168,146,112,163,193,186,186,187,187,188,187,180,152,97,118,191,186,133,85,158,185,187,158,137,179,163,145,143,178,164,135,129,195,187,189,188,189,188,185,175,126,98,189,189,186,142,100,148,185,194,190,158,149,184,165,131,157,178,142,110,183,191,190,191,191,187,183,157,88,136,198,187,188,160,147,157,179,178,196,183,132,156,182,144,122,173,132,87,177,199,192,188,181,181,166,108,95,189,192,189,189,176,174,165,177,166,158,188,125,100,185,161,101,116,107,72,156,177,173,165,156,158,119,85,177,199,192,191,191,171,181,176,173,172,158,155,120,80,138,138,87,55,87,110,148,168,171,156,134,118,82,153,203,192,193,193,192,174,186,176,174,172,154,144,127,100,83,97,69,57,120,175,185,181,168,142,117,91,118,204,194,194,194,194,193,176,184,176,148,156,152,139,133,117,104,106,104,147,175,184,182,169,154,125,94,84,186,200,196,196,195,195,194,178,181,183,164,140,143,164,151,145,129,123,166,190,186,182,173,159,137,107,73,144,206,197,198,198,197,196,196,179,180,191,191,164,141,144,159,175,174,176,196,190,185,176,162,143,117,79,121,206,197,199,198,197,197,197,197,178,180,185,194,177,156,141,150,164,189,195,191,191,185,167,145,121,90,92,194,201,199,199,199,199,198,198,197,178,183,181,189,194,169,151,152,168,191,196,197,196,178,150,125,102,75,159,206,197,199,198,198,198,198,197,195,179,183,183,193,203,193,167,164,171,196,205,198,186,158,129,105,80,107,204,199,199,199,199,199,198,197,197,200,179,182,184,184,196,204,183,171,174,193,201,190,166,136,110,90,72,172,206,200,202,202,201,200,198,200,194,189,181,182,187,178,174,192,183,174,175,178,180,174,151,119,93,69,108,206,198,201,201,201,199,200,203,191,185,131,175,179,183,186,171,173,177,173,168,155,152,160,143,108,85,67,164,212,205,206,205,206,204,205,186,179,200,172,111,116,116,122,121,155,177,166,154,140,141,151,133,109,87,75,150,172,173,176,179,185,189,183,187,172,170,124,103,102,102,102,97,123,169,140,136,137,150,160,132,116,101,78,94,103,101,103,104,105,110,172,201,166,162,126,105,108,113,112,110,108,151,136,143,155,158,161,135,112,108,82,101,115,115,114,111,111,143,145,184,192,104,151
3,59,52,8,39,61,72,80,90,96,101,104,108,110,112,114,117,119,120,123,123,125,127,128,130,131,132,131,132,65,48,9,44,64,75,83,92,98,103,107,110,112,113,115,118,121,120,121,126,127,129,130,131,132,133,134,134,70,44,11,48,67,76,85,94,99,104,108,111,112,115,117,119,122,129,89,121,130,130,131,132,132,133,135,134,71,35,14,52,68,77,86,95,100,105,109,111,113,115,118,121,125,141,82,107,134,130,132,133,134,135,136,136,72,27,20,54,69,78,87,96,101,106,109,112,114,117,119,121,128,139,79,106,134,131,133,135,135,136,136,137,72,21,26,56,70,79,89,98,102,107,111,113,116,118,122,122,131,143,80,111,134,131,134,135,136,137,137,137,70,15,31,58,72,80,90,99,103,109,112,116,119,117,118,118,139,133,77,113,137,134,136,136,137,138,139,138,67,12,37,60,74,82,92,100,105,110,111,114,114,143,130,98,132,112,72,115,139,136,137,137,138,139,139,140,61,11,43,63,76,84,93,101,106,108,127,132,105,120,150,111,89,103,70,123,138,137,138,138,139,140,141,141,54,12,47,64,76,85,95,102,107,105,133,161,139,92,118,121,92,113,76,132,136,138,139,140,141,142,142,142,46,14,51,67,77,87,97,102,110,144,130,100,131,108,85,143,123,107,70,129,140,137,140,141,142,143,143,144,37,18,53,68,79,88,98,101,117,155,142,102,82,120,82,86,98,112,73,91,142,139,141,142,143,143,144,145,28,22,56,69,81,89,99,100,125,132,94,120,105,105,110,52,74,126,119,82,110,147,141,143,144,145,145,145,20,28,58,72,81,90,101,100,132,127,68,84,85,78,86,82,78,112,134,86,106,149,143,144,144,146,146,146,13,34,60,72,82,91,102,101,134,127,107,86,62,75,87,99,83,117,135,80,120,149,144,145,146,147,147,147,9,39,61,73,82,92,100,101,143,138,105,77,67,84,104,105,93,136,140,80,132,147,144,146,147,147,148,148,9,43,62,74,83,92,101,103,142,128,90,74,77,94,113,116,130,150,130,78,136,146,146,147,147,148,148,149,11,46,63,75,84,92,102,103,140,134,102,83,78,99,120,137,155,140,116,76,137,147,147,148,148,149,149,149,15,48,66,77,85,94,102,102,139,140,109,88,84,98,130,157,156,127,94,83,147,147,148,148,148,148,149,150,18,50,66,77,85,95,103,102,136,147,122,93,89,102,145,156,150,127,77,89,151,146,148,148,148,149,149,149,21,52,66,77,85,95,103,103,130,146,123,103,97,106,152,155,141,121,71,100,153,146,149,149,149,149,150,150,25,54,67,76,85,95,102,106,120,137,127,118,108,110,147,148,131,114,67,118,152,146,148,149,149,150,150,150,28,56,69,77,86,95,101,107,113,132,133,124,119,107,133,134,119,99,70,137,149,147,149,149,150,150,150,150,32,57,69,78,86,96,101,107,111,136,138,126,114,101,115,119,112,92,84,150,146,148,149,150,150,151,150,150,35,57,69,78,86,96,102,108,111,146,143,123,109,99,110,108,112,79,116,151,145,148,149,150,151,151,151,151,38,58,70,78,86,96,102,108,113,154,142,126,113,104,116,107,98,76,139,146,147,148,149,150,150,151,151,151,41,60,70,78,86,96,101,107,116,153,149,137,111,115,123,100,76,87,148,144,147,148,150,150,150,152,152,151,44,61,71,79,87,96,101,107,116,154,156,139,110,121,116,94,65,99,150,145,147,148,150,150,151,152,153,153
19,156,160,165,168,171,173,176,177,178,179,180,179,180,180,180,180,181,179,179,178,177,177,175,174,179,187,155,201,160,164,169,172,174,177,180,181,183,183,184,184,184,185,184,183,183,182,182,182,181,181,179,177,186,153,151,203,164,168,172,176,178,181,183,186,187,188,188,189,189,183,189,188,187,186,186,186,185,185,184,182,182,187,198,203,167,172,175,179,183,185,188,189,190,192,191,202,196,146,145,193,191,190,189,189,188,187,186,185,183,189,185,160,171,176,179,183,187,189,192,193,195,196,194,215,195,138,104,182,196,194,193,192,192,192,190,188,187,186,175,163,177,181,184,188,191,195,196,197,199,201,199,219,196,148,99,157,203,197,196,195,195,195,193,192,190,189,185,186,179,184,188,191,195,198,199,201,202,204,202,221,202,158,103,130,208,201,200,199,198,198,196,195,193,192,189,192,183,186,190,195,199,201,203,205,206,209,207,223,200,151,96,107,210,207,205,203,202,202,200,199,197,195,193,195,185,189,194,198,201,204,207,208,210,212,211,223,195,153,126,144,182,179,190,194,196,196,201,204,203,200,198,198,187,192,197,200,203,207,210,213,212,211,207,213,203,197,198,198,172,145,163,176,163,154,159,161,180,191,198,203,190,194,199,202,207,210,204,187,188,202,204,212,208,210,207,189,170,151,163,180,168,164,162,148,177,175,161,201,192,196,201,205,208,223,205,183,190,194,194,196,193,187,182,170,154,126,128,147,156,158,158,146,155,163,136,187,194,197,203,208,211,231,205,191,186,174,177,182,179,176,177,173,161,113,150,163,163,156,149,145,150,164,83,165,196,200,205,208,216,206,162,151,161,171,185,188,181,180,178,177,167,130,186,229,224,219,216,213,220,179,68,111,197,202,207,210,227,189,163,156,159,169,173,170,175,176,174,173,153,113,181,227,222,222,220,220,223,117,74,70,199,202,207,212,219,176,173,173,170,159,134,142,159,149,137,141,125,103,212,225,225,228,227,218,178,83,75,75,200,204,209,213,221,210,190,166,156,163,167,165,161,155,148,142,131,119,226,232,214,181,137,97,75,73,75,76,201,205,211,214,226,235,208,165,141,158,165,165,164,161,153,145,140,119,171,145,78,62,69,62,61,70,71,73,201,206,210,216,227,236,209,167,151,145,137,140,146,145,136,130,123,107,64,49,57,48,54,52,67,67,65,69,203,208,211,217,226,225,220,176,156,137,119,122,136,137,129,121,106,85,62,58,61,56,50,47,58,61,58,65,203,209,211,221,230,232,230,191,154,129,143,153,150,144,134,126,105,55,51,64,56,54,54,53,48,51,53,59,203,208,210,221,232,233,234,199,152,126,138,145,142,132,119,112,102,52,41,55,58,55,45,47,53,52,52,54,203,208,209,216,232,228,215,177,148,137,137,145,142,125,114,116,93,55,45,46,55,57,48,36,45,48,58,58,202,208,210,216,229,221,205,171,149,146,138,138,122,106,112,115,53,47,51,43,44,57,55,40,37,41,52,55,203,208,209,215,223,219,195,167,146,148,140,122,93,84,91,79,34,35,46,43,44,47,58,48,34,39,38,36,205,209,208,214,217,210,175,148,151,174,141,93,80,51,19,43,50,33,37,43,43,44,48,55,39,35,37,34,193,198,199,217,212,199,172,153,167,169,130,89,77,43,10,25,51,46,36,43,38,39,42,47,47,30,35,33,125,124,181,221,210,198,178,173,178,159,124,94,66,55,15,15,38,51,43,40,37,32,38,39,46,36,28,33
2,175,178,180,182,182,183,184,185,185,184,184,185,183,183,184,183,182,182,181,180,177,175,173,172,171,169,168,166,177,179,181,182,183,185,186,187,186,187,187,186,185,185,185,183,180,175,168,171,179,177,176,174,172,170,169,167,179,180,183,183,184,185,186,188,187,188,187,175,155,155,160,158,148,139,125,109,136,168,177,176,174,172,170,169,180,182,185,186,186,187,188,188,188,189,186,167,146,143,148,148,140,126,114,93,84,112,138,157,176,174,172,171,180,183,185,186,188,188,190,190,191,191,177,158,157,156,155,152,140,117,99,100,103,103,107,119,174,174,173,171,181,183,185,187,189,189,190,190,192,186,161,152,162,161,153,146,140,116,105,111,123,118,97,111,174,176,173,172,182,184,186,188,189,189,190,191,192,184,166,159,152,140,131,146,147,100,88,100,108,103,101,148,179,177,174,173,184,185,188,189,190,191,192,192,193,184,164,161,152,138,127,123,109,120,158,144,127,134,169,181,179,178,176,174,184,187,187,189,191,192,193,194,191,183,177,164,144,121,104,105,124,174,191,189,186,184,184,183,180,179,178,175,185,187,187,190,193,194,194,192,176,173,167,146,112,71,120,180,190,192,190,189,188,187,185,166,135,123,154,177,185,187,189,190,192,193,194,188,168,162,144,114,71,46,123,197,195,194,192,190,188,187,166,115,85,79,108,175,185,188,190,192,193,194,193,182,160,145,113,72,52,54,119,197,194,194,192,190,190,170,122,91,81,77,104,176,186,189,190,192,194,195,190,182,165,136,83,51,55,58,128,198,194,194,192,192,175,124,95,90,80,75,139,180,187,189,191,192,194,194,189,183,164,134,82,52,58,58,113,198,196,195,195,187,130,84,78,81,74,103,176,179,187,189,192,194,194,194,191,183,162,128,78,56,60,56,65,149,190,197,187,145,97,69,67,71,81,159,183,179,188,190,192,195,195,195,188,181,160,120,75,66,62,57,58,69,108,151,124,93,83,79,68,79,148,184,182,181,188,190,193,195,196,194,188,182,159,119,86,74,61,60,63,66,70,78,72,71,78,77,84,154,187,186,183,181,188,190,193,195,197,195,186,179,159,127,92,74,60,60,61,68,73,76,72,73,78,80,152,188,188,186,184,181,187,190,193,195,196,194,182,173,158,126,97,77,59,59,62,67,73,79,78,70,68,130,191,189,187,186,184,181,187,190,193,195,196,193,179,170,154,126,103,78,58,59,64,68,74,81,83,70,91,179,193,189,187,186,184,182,188,190,194,195,197,192,179,170,152,128,102,77,59,59,65,70,75,80,79,72,156,195,192,190,188,186,185,184,188,191,194,195,197,190,176,176,161,129,101,82,61,58,66,72,77,81,72,93,189,195,193,191,189,187,186,184,188,190,193,195,197,187,176,183,165,127,100,82,62,57,68,74,79,77,65,144,196,193,192,190,188,186,185,183,186,189,191,193,195,184,178,182,159,124,99,85,65,55,69,75,75,65,96,187,194,192,190,188,187,185,183,182,185,187,189,192,193,181,178,176,152,118,98,85,68,57,68,72,66,73,163,195,192,191,189,188,187,185,182,181,185,187,189,191,193,180,175,168,143,115,99,85,69,57,65,67,67,144,194,193,192,190,188,187,186,184,182,180,185,186,188,191,191,177,170,156,133,111,96,82,67,57,60,72,139,194,194,193,191,190,188,187,186,183,182,180,183,185,188,190,189,176,162,149,127,106,93,80,67,57,72,155,193,195,194,192,190,188,186,185,184,182,181,179
21,122,124,129,135,139,143,146,150,152,153,156,157,158,158,158,158,158,157,156,156,155,154,153,151,150,150,147,146,123,126,130,136,142,145,148,151,152,155,158,159,159,160,159,160,158,157,159,157,156,156,155,153,152,152,150,148,126,128,132,138,144,147,150,152,155,157,159,161,161,161,162,161,171,150,139,161,158,157,158,156,154,153,152,149,127,129,134,140,145,148,151,154,156,159,161,163,163,164,164,161,190,156,107,163,160,159,158,157,157,155,153,152,128,131,136,142,147,150,154,157,158,160,162,164,165,165,165,161,194,152,101,162,161,160,159,160,152,154,155,154,129,132,137,143,148,152,154,157,159,161,163,166,167,165,166,163,201,152,101,161,162,162,161,180,126,136,158,156,131,134,139,145,150,153,156,158,160,163,165,166,166,166,167,165,208,159,108,161,165,163,168,184,106,135,160,157,132,135,141,148,152,155,158,159,162,165,167,168,167,168,169,166,213,159,114,162,167,162,181,172,102,146,160,158,132,135,142,148,151,156,158,161,165,167,168,170,169,169,169,170,215,154,117,162,168,165,195,156,105,155,160,158,134,136,143,149,153,157,161,164,165,168,169,171,171,170,169,176,224,159,118,161,168,171,206,150,114,163,162,160,135,138,145,150,155,159,162,165,166,169,171,172,171,188,181,164,210,173,124,163,167,189,202,138,126,167,164,162,136,139,145,152,156,161,164,166,168,170,172,172,176,228,199,150,129,159,127,167,170,212,189,121,137,169,165,163,138,140,148,154,158,162,166,167,170,171,178,200,170,196,217,161,95,110,126,170,187,214,169,109,153,169,166,165,138,141,149,156,161,165,168,170,172,170,205,231,181,141,206,159,93,86,123,171,196,195,145,116,168,168,166,165,139,144,150,157,162,166,169,172,174,174,221,238,205,128,163,166,102,76,101,145,172,174,124,139,173,169,167,167,140,145,151,158,164,167,171,173,176,181,220,208,211,126,134,196,145,88,78,108,135,139,113,166,173,170,169,167,141,146,154,160,164,168,172,175,176,189,227,198,201,152,109,200,189,125,77,93,120,109,120,178,174,172,171,169,142,146,156,161,165,169,173,176,176,209,232,194,176,165,101,161,195,161,102,74,100,94,129,180,175,174,173,170,143,147,155,162,167,171,174,179,177,222,220,172,145,128,114,126,189,190,146,84,80,86,143,181,177,175,174,172,144,148,156,164,169,172,175,180,179,226,221,170,137,137,144,153,187,213,180,121,79,86,164,181,178,177,175,174,144,150,157,164,169,173,178,181,181,230,220,169,135,153,160,203,209,216,201,153,98,97,180,181,180,180,178,175,144,150,158,165,170,174,178,181,183,230,221,172,139,166,178,224,219,209,195,169,121,110,186,183,182,181,179,176,142,149,158,164,169,174,179,182,183,231,223,170,153,166,194,233,226,208,177,154,120,113,187,183,182,180,179,177,143,149,158,165,171,174,179,183,184,229,225,169,178,163,212,241,227,202,176,128,99,119,188,184,183,181,180,178,143,150,159,166,172,176,180,185,185,224,223,182,196,164,216,243,223,198,169,119,90,141,191,186,184,182,180,178,144,151,159,165,171,176,181,185,184,216,223,204,201,164,209,237,211,185,150,113,95,168,190,186,185,183,181,179,142,149,158,166,172,176,181,185,186,207,229,216,199,162,198,222,189,162,129,103,110,189,189,187,186,185,183,179,137,142,147,150,154,157,159,162,163,178,227,212,191,158,176,206,170,139,118,100,116,160,158,157,155,154,152,160
8,238,240,241,242,243,244,245,246,247,246,245,245,246,246,247,246,245,245,243,240,238,235,234,233,231,231,228,225,241,243,242,244,246,247,249,250,250,249,247,249,249,248,250,248,247,246,244,243,241,238,237,237,234,232,230,227,243,246,246,248,251,251,252,252,251,255,255,222,251,251,252,252,250,249,247,245,245,242,240,239,237,235,233,231,246,247,248,249,252,253,253,255,248,255,255,187,251,255,254,254,253,251,249,249,248,246,243,241,239,239,236,235,247,249,251,252,254,255,255,255,249,255,255,186,255,254,255,255,252,255,252,249,251,246,246,246,242,241,240,238,250,252,255,255,255,255,255,255,252,255,255,196,255,255,244,250,255,245,246,255,249,255,244,235,249,242,242,240,254,255,255,255,255,255,255,255,254,255,255,193,255,255,241,212,255,241,202,255,239,255,241,202,255,245,245,242,255,255,255,255,255,255,255,255,254,255,255,195,255,255,255,202,255,255,185,250,242,255,251,186,254,250,246,243,255,255,255,255,255,255,255,255,255,255,255,242,255,255,255,200,255,255,171,253,243,224,255,197,218,254,248,245,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,190,254,255,168,255,232,172,246,241,184,225,255,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,181,254,242,172,255,206,161,228,255,180,219,255,248,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,187,249,235,156,218,193,167,255,255,185,241,255,253,255,255,255,255,255,255,255,255,255,255,243,235,230,240,255,183,253,241,139,222,176,194,255,255,186,255,255,252,255,255,255,255,255,255,255,255,255,255,255,213,222,226,236,224,255,224,172,232,186,255,255,216,193,255,255,255,255,255,255,255,255,255,255,255,255,255,255,225,199,222,244,255,244,239,255,255,255,255,249,190,210,255,249,221,255,255,255,255,255,255,255,255,255,255,255,244,203,215,255,255,255,255,255,255,255,226,205,175,165,166,153,135,255,255,255,255,255,255,255,255,255,255,255,255,221,210,255,255,255,255,255,255,246,204,176,154,152,147,138,133,255,255,255,255,255,255,255,255,255,255,255,255,251,229,255,255,255,255,255,255,223,184,158,149,146,137,135,135,255,255,255,255,255,255,255,255,255,255,255,255,255,239,255,255,255,255,255,233,190,160,143,135,112,100,84,69,255,255,255,255,255,255,255,255,255,255,255,255,255,245,255,255,255,255,244,200,162,139,127,117,101,85,81,64,255,255,255,255,255,255,255,255,255,255,255,255,255,242,255,255,255,241,217,171,142,136,128,109,87,74,76,70,255,255,255,255,255,255,255,245,237,255,255,255,244,232,255,255,236,208,175,138,127,129,132,127,97,69,64,67,241,245,247,250,254,255,255,159,132,255,255,255,242,240,247,238,207,173,136,99,106,120,114,128,122,82,58,60,157,155,151,154,155,156,170,157,83,206,255,255,251,240,226,216,180,144,81,61,78,104,99,111,131,102,66,54,155,154,158,157,156,154,159,174,150,150,212,239,238,216,200,181,147,104,31,37,75,92,90,94,122,116,79,54,161,159,163,164,165,163,171,170,145,153,151,162,187,186,164,160,117,57,21,69,111,116,75,84,109,121,96,63,165,160,164,164,165,163,174,172,145,143,142,131,127,130,131,131,97,36,49,101,125,115,65,75,96,118,108,78,165,161,164,167,168,167,178,167,149,146,141,136,122,111,106,100,94,80,82,83,83,71,50,63,85,106,113,89
20,166,169,172,174,177,178,180,181,181,183,184,185,186,184,185,187,184,185,185,186,184,185,183,181,180,180,180,178,168,171,174,176,178,181,181,183,184,185,185,187,185,199,188,174,188,188,186,186,187,185,185,185,183,182,181,180,170,174,176,178,180,182,184,185,186,186,187,189,183,217,192,139,188,171,189,187,187,187,187,187,186,184,182,182,173,175,178,179,182,185,186,187,188,189,190,193,186,220,191,145,205,139,183,193,189,190,190,188,187,186,185,183,174,178,180,181,184,186,187,189,190,191,192,194,189,220,193,155,220,144,169,199,192,193,192,191,190,188,186,186,176,180,181,183,187,188,189,191,193,193,193,195,190,227,208,157,223,161,162,200,194,195,194,193,191,191,189,188,177,180,183,185,188,191,192,193,195,195,197,198,192,231,200,163,231,174,160,203,196,198,196,195,193,192,191,189,179,181,184,187,190,192,193,195,195,195,195,197,198,231,189,174,231,171,155,204,199,199,198,197,195,194,194,192,180,183,186,189,192,194,195,196,198,197,211,209,196,234,192,176,234,165,154,207,200,200,199,199,196,196,195,194,182,186,188,190,192,195,197,198,195,201,246,243,193,162,175,176,230,165,161,209,200,202,201,200,199,198,197,196,184,187,189,192,194,196,199,197,214,225,209,213,196,138,118,152,205,157,167,212,203,204,202,202,200,200,199,198,185,188,192,193,196,198,198,207,242,244,196,169,200,179,168,139,160,146,167,213,205,205,204,203,202,201,200,199,186,189,192,195,198,200,198,217,219,177,221,190,172,216,210,156,125,126,167,213,205,207,205,204,204,203,201,201,188,191,193,197,198,200,199,218,218,135,135,137,113,188,212,169,127,116,165,215,207,209,206,206,206,205,204,203,189,192,194,198,200,203,200,222,204,172,154,121,118,130,223,203,151,110,165,217,209,210,208,207,208,207,205,204,190,194,197,199,201,205,201,226,233,198,158,135,142,129,212,231,176,112,155,220,210,212,210,209,209,208,206,205,191,195,197,201,203,206,202,230,231,178,146,139,154,157,215,244,198,132,147,220,211,213,211,210,210,210,208,206,193,197,199,202,205,207,203,231,230,184,159,156,164,181,239,242,205,147,146,221,212,214,212,211,212,211,209,209,193,198,200,203,206,209,206,232,240,198,172,169,178,216,247,234,195,152,141,220,213,214,214,213,213,212,210,210,195,199,202,204,206,211,208,231,243,211,178,179,193,236,247,232,189,151,143,220,215,216,215,215,215,214,211,210,196,198,201,204,207,210,207,227,246,220,189,182,205,245,240,222,187,147,137,221,218,217,216,216,216,216,213,211,196,198,201,204,207,210,207,224,247,221,201,194,207,247,233,207,183,142,132,218,217,216,215,214,215,215,213,211,197,199,203,206,208,210,210,217,243,228,213,213,205,238,224,200,179,137,128,219,219,218,217,215,215,214,211,214,196,200,204,207,209,210,213,213,237,235,219,222,200,216,208,185,171,129,132,224,219,220,219,218,215,215,220,206,198,201,204,206,209,212,214,211,230,243,225,211,189,190,191,171,173,119,148,231,219,222,220,217,223,219,195,138,199,202,205,206,210,211,220,224,232,244,219,192,163,166,182,169,165,106,179,231,221,222,221,226,201,147,115,103,200,204,207,211,213,218,190,120,180,244,195,172,151,163,189,162,143,111,224,226,224,225,228,190,126,112,107,99,170,174,179,183,185,194,132,33,126,238,203,175,150,174,193,140,124,77,149,220,214,220,186,119,110,105,97,96
2,146,145,146,146,146,147,147,146,146,145,145,145,145,145,143,143,142,141,140,140,140,140,143,79,40,44,41,43,148,147,148,148,148,149,149,149,147,148,148,149,146,146,147,142,147,146,146,143,144,141,147,106,42,48,36,45,151,150,152,151,151,152,150,151,151,152,151,150,150,154,144,92,97,133,123,149,147,144,148,123,46,34,23,43,153,153,154,155,154,155,155,154,154,151,154,156,156,128,88,65,46,79,61,120,149,146,147,138,60,20,27,51,156,156,157,158,157,157,158,158,155,161,169,160,94,61,50,46,44,55,48,45,124,154,146,154,82,6,17,42,159,159,160,159,159,159,158,158,159,171,161,109,52,43,40,36,33,39,48,38,119,158,149,156,107,86,60,27,161,161,162,163,162,162,161,156,166,178,106,54,38,32,40,35,28,34,34,57,145,156,152,155,134,94,142,125,164,163,163,163,164,163,163,156,179,162,79,45,37,30,33,38,45,71,107,144,159,157,155,163,112,95,172,147,165,166,165,164,164,165,163,165,183,130,69,44,51,41,42,48,118,165,165,162,158,158,156,165,121,123,165,98,166,167,167,167,167,167,164,179,167,110,58,39,48,41,64,138,168,162,161,163,162,161,159,160,151,135,97,94,168,168,168,168,170,167,169,188,158,106,69,52,41,41,120,180,163,165,164,165,164,162,161,160,161,152,102,154,171,170,169,170,171,167,182,192,146,97,67,62,47,43,141,173,167,166,167,166,165,163,163,164,161,157,151,138,172,171,170,172,172,167,194,182,134,84,62,59,52,65,169,170,170,168,167,166,166,165,165,164,165,159,158,163,172,172,172,173,168,172,200,168,127,83,58,53,49,92,179,170,171,170,169,168,168,167,167,167,165,164,156,139,174,173,174,174,163,188,193,156,116,78,59,54,49,98,182,170,172,170,171,170,170,167,167,167,166,165,169,131,176,176,177,171,172,199,180,145,106,71,58,58,43,124,185,170,172,172,171,171,172,171,171,170,172,170,166,166,176,175,178,164,183,200,171,135,96,69,53,48,40,96,183,174,174,173,175,176,172,157,146,137,133,154,171,166,176,177,178,164,196,192,163,126,90,68,47,43,55,49,104,187,182,178,166,146,130,134,130,121,102,74,152,172,176,180,168,179,200,186,153,115,84,66,37,45,58,63,55,120,151,131,122,133,134,131,112,94,104,104,155,173,179,177,166,198,196,178,140,106,78,59,34,60,67,76,81,73,83,108,134,137,118,83,83,138,173,177,174,171,182,171,186,202,191,168,133,102,75,57,43,73,82,88,87,88,95,112,112,92,81,91,161,183,174,172,172,172,171,181,199,191,182,161,124,89,69,58,55,79,90,91,90,83,84,79,81,120,160,178,179,175,176,175,174,172,170,189,192,186,178,149,110,79,68,57,70,88,94,90,80,69,60,103,168,185,182,178,177,178,176,176,176,175,181,187,186,172,152,121,90,73,67,60,76,86,89,77,63,87,139,185,187,181,180,180,180,179,177,176,175,176,180,180,169,149,128,106,82,71,64,68,75,83,79,57,109,183,189,183,183,183,180,181,181,179,179,178,177,176,178,169,148,126,117,92,75,70,70,72,70,65,68,125,189,187,184,184,184,184,183,183,181,180,181,180,179,178,171,161,131,100,90,71,68,73,72,67,65,107,166,193,184,185,186,185,185,185,184,184,184,183,182,180,180,173,166,149,115,83,65,63,69,73,63,102,155,192,192,185,187,187,186,186,186,185,185,185,184,184,183,182,182,153
3,135,146,153,155,161,167,169,173,177,179,182,184,185,187,188,187,191,182,189,189,190,190,190,190,190,190,190,190,136,148,154,156,163,169,171,174,177,180,184,187,188,189,190,188,215,156,167,196,190,191,191,190,189,189,190,190,138,149,155,157,165,171,175,178,180,183,186,189,191,192,194,191,227,163,134,200,195,194,194,191,191,190,190,190,141,151,155,159,166,174,177,181,184,187,189,193,196,196,197,192,233,175,119,204,189,194,196,194,194,193,193,191,144,153,158,162,170,177,180,184,187,191,196,196,198,202,202,207,212,160,117,225,166,172,205,197,197,196,196,196,147,157,162,164,173,180,182,187,191,197,195,200,209,186,217,251,215,203,161,209,186,134,211,201,201,200,200,200,151,159,164,169,177,183,187,189,189,188,216,245,240,187,143,171,218,231,196,142,187,129,168,215,204,204,204,203,154,163,168,173,180,186,187,218,216,187,220,199,213,223,195,91,133,180,128,111,164,163,127,180,215,207,208,207,158,166,170,176,185,186,215,219,195,202,174,124,119,205,217,127,134,139,108,170,175,174,138,142,221,211,212,211,160,169,173,180,188,194,229,168,115,170,116,109,85,102,138,105,117,98,92,198,210,209,151,143,224,214,216,215,162,171,175,181,191,200,234,184,126,178,153,145,115,125,111,92,98,100,97,202,237,224,160,146,228,217,219,219,166,172,177,185,195,198,238,201,155,190,208,185,158,144,130,125,117,112,101,183,240,224,159,151,230,219,222,221,169,176,180,188,199,200,236,223,196,179,179,146,148,156,155,163,137,150,142,177,238,218,148,149,233,222,225,224,171,178,182,191,201,205,241,226,183,164,161,148,154,164,181,176,187,206,229,227,212,189,138,146,236,226,228,227,174,181,185,194,203,207,244,225,178,154,150,157,162,177,195,204,228,233,240,227,187,150,135,142,237,229,230,230,176,183,188,197,206,208,243,237,199,165,151,169,169,184,216,223,233,240,237,211,168,137,120,158,244,232,234,234,180,185,190,199,209,210,239,252,215,184,156,155,169,199,226,230,242,247,233,197,155,129,108,216,242,236,237,236,182,187,192,201,211,213,232,255,231,205,175,155,170,196,224,238,252,246,219,180,152,108,154,251,237,240,239,237,183,188,194,205,213,217,228,255,245,218,191,172,173,186,217,243,250,239,205,165,137,104,214,247,239,241,240,238,187,190,197,207,214,221,226,254,253,233,202,193,187,184,212,241,242,224,188,153,116,131,249,241,240,241,244,248,189,192,200,208,217,223,224,240,249,246,221,206,197,182,221,229,234,203,167,139,99,187,253,242,250,255,238,203,191,196,202,211,220,225,228,228,243,247,231,216,203,179,213,222,211,181,147,117,114,246,255,247,218,165,109,79,193,197,205,214,221,228,232,225,232,240,233,221,203,180,178,210,189,160,135,98,190,254,183,127,88,73,72,70,196,198,207,216,223,229,232,233,226,240,234,221,204,181,164,188,183,150,121,130,217,126,76,69,74,69,72,65,198,201,209,217,224,231,233,236,226,243,230,213,199,173,161,172,168,143,114,131,115,79,87,63,61,79,65,59,200,203,210,219,226,231,234,237,231,242,213,195,192,173,165,162,153,143,115,79,65,77,95,65,45,71,77,53,197,202,210,219,226,230,234,238,225,244,226,206,209,191,170,161,146,143,105,81,67,53,87,79,42,54,80,68,198,203,212,221,228,232,234,242,219,241,243,224,227,195,175,162,143,140,98,77,78,46,62,88,55,42,66,77
2,182,182,181,181,181,181,181,181,180,179,179,179,178,177,176,175,174,172,174,173,171,171,170,171,169,167,165,165,183,183,183,183,183,183,183,183,182,181,181,181,181,180,178,178,177,175,176,174,173,172,171,171,170,168,167,167,183,184,184,184,184,183,184,183,184,183,182,182,183,181,180,174,172,175,175,178,178,177,174,171,171,169,168,168,184,185,186,186,185,185,186,184,185,185,184,185,181,187,186,171,163,163,158,155,160,169,180,173,173,171,170,170,186,188,187,187,187,187,188,188,187,186,185,182,195,200,186,178,173,163,157,139,130,108,127,182,174,173,173,170,187,189,187,187,188,189,188,188,187,187,185,195,205,199,194,194,193,173,161,159,128,123,91,144,177,176,172,171,189,190,189,188,189,189,189,190,189,186,192,203,202,206,141,121,151,115,108,160,153,143,120,102,111,158,175,172,191,191,191,191,191,190,191,191,190,187,200,204,189,166,108,67,73,72,71,102,125,110,81,81,73,153,180,172,193,193,192,193,194,193,193,191,193,203,215,168,115,96,80,70,67,74,167,156,164,143,106,91,125,180,176,175,194,195,195,194,194,195,193,195,212,219,202,150,106,79,60,62,63,125,195,187,188,189,184,176,182,178,177,176,195,196,197,196,196,196,193,208,219,213,180,141,112,91,76,60,114,186,185,185,185,183,183,185,181,180,178,178,197,197,197,197,197,189,204,219,212,182,137,108,96,82,67,118,198,187,189,188,185,185,183,184,184,180,179,177,199,199,199,199,192,204,226,218,199,179,130,77,73,78,71,173,194,188,189,188,188,186,185,185,184,181,180,178,200,200,201,193,204,230,225,204,183,179,130,91,75,64,113,199,190,191,191,190,190,189,187,184,185,183,181,179,201,203,196,204,231,227,208,193,195,155,113,88,68,57,176,200,193,191,192,192,190,189,188,187,187,185,181,180,205,202,199,230,232,220,201,204,180,136,111,76,67,58,154,207,193,193,194,193,192,190,193,189,176,180,188,181,205,199,226,235,229,213,200,189,161,131,98,59,65,66,79,184,198,195,194,193,192,195,174,151,147,129,161,187,200,217,238,229,221,204,192,181,155,112,79,60,68,70,63,114,208,192,198,200,198,156,129,148,155,103,141,190,210,238,230,221,208,200,184,169,136,95,73,73,82,82,79,76,173,208,187,152,119,119,143,150,106,134,188,182,239,240,224,214,199,185,173,156,116,91,76,87,96,97,93,80,87,135,103,104,96,119,141,102,112,197,187,186,139,213,224,205,194,176,165,140,113,91,82,99,101,100,93,89,79,89,92,112,120,117,108,65,175,192,188,188,68,93,163,179,171,166,151,139,109,82,85,103,99,98,94,89,86,99,107,111,114,94,64,106,198,189,189,188,78,69,68,115,134,123,117,98,77,76,82,95,93,93,89,88,92,98,100,91,82,100,147,190,195,192,191,190,68,74,68,65,76,79,71,59,65,71,71,83,89,86,76,75,69,69,87,126,166,197,204,197,196,195,192,191,68,67,65,71,66,44,50,57,53,54,60,68,62,57,80,100,109,145,190,207,207,202,198,197,196,194,193,191,67,63,64,61,72,49,25,39,37,36,52,65,90,141,192,208,211,212,206,202,201,201,199,198,197,195,194,192,65,63,61,58,70,64,22,27,34,24,69,188,217,217,212,208,206,205,205,204,204,203,202,200,198,196,195,193,61,58,57,55,63,65,24,23,28,27,21,62,195,213,208,210,209,209,208,207,206,204,203,201,199,198,196,194
8,184,183,184,188,189,189,188,187,186,186,186,185,185,184,183,182,181,180,179,178,177,177,176,175,173,171,169,169,186,186,187,189,189,189,189,189,189,188,187,186,188,184,183,183,182,182,182,179,179,178,178,176,174,172,170,170,189,189,189,190,190,190,189,189,190,190,189,183,176,187,185,185,184,185,183,181,179,179,178,177,175,173,172,171,189,189,191,192,192,193,192,190,190,189,193,179,124,178,191,186,187,186,184,182,181,181,180,179,177,175,174,172,190,191,192,193,194,193,193,193,193,189,200,165,100,172,193,189,189,185,185,184,183,183,182,181,180,178,175,173,192,193,193,195,196,194,194,195,195,192,205,140,99,187,192,190,189,187,186,186,185,184,183,182,181,178,177,176,193,195,195,197,198,197,196,198,195,200,208,133,111,198,190,191,189,189,188,187,186,185,184,183,182,179,178,177,194,196,196,196,198,198,198,199,193,208,203,123,127,201,190,195,195,188,189,188,186,185,184,184,182,181,180,178,195,197,198,197,198,199,199,198,194,212,189,108,139,203,195,171,171,198,190,188,187,186,185,185,183,181,180,178,196,197,199,199,200,199,200,201,196,218,186,137,155,200,205,174,128,162,188,195,189,187,186,186,185,182,181,179,198,199,199,200,200,201,202,202,199,220,186,166,166,195,197,201,166,128,132,144,192,193,193,189,186,184,183,181,199,200,200,201,202,203,203,202,202,214,193,174,181,212,174,207,192,182,164,96,111,148,140,186,188,184,184,183,200,201,202,202,203,204,204,200,211,210,177,185,198,201,168,155,190,178,164,116,60,71,67,113,197,184,185,183,200,202,203,203,204,204,205,204,211,188,174,178,187,187,155,101,130,199,165,127,68,57,67,71,184,189,186,184,202,203,205,205,205,206,203,214,209,168,154,156,179,174,126,84,65,210,179,133,72,72,78,76,189,189,187,185,203,204,205,206,207,207,205,229,216,184,145,116,171,157,106,80,91,207,190,136,74,62,55,133,200,187,188,186,204,205,206,207,209,204,216,235,210,181,153,124,161,185,166,188,192,179,174,134,87,40,93,196,190,190,189,187,204,207,208,207,210,205,227,228,198,185,158,144,121,200,217,189,194,162,142,135,90,74,188,198,192,192,191,190,206,208,209,209,210,211,233,219,198,187,144,129,173,215,203,167,183,166,116,130,73,137,209,194,195,194,192,189,206,209,210,210,208,216,236,216,201,182,143,170,219,210,192,166,162,160,102,103,60,175,204,196,197,194,192,190,208,209,210,210,212,220,233,219,202,179,160,201,212,201,182,155,147,141,99,70,86,207,198,198,197,194,194,193,209,210,211,214,191,220,233,218,195,175,163,193,193,182,169,143,144,116,83,48,143,211,199,198,198,196,194,192,208,208,216,197,80,123,205,201,173,160,165,170,185,170,152,137,122,89,61,62,197,202,202,199,198,196,195,193,210,210,217,112,74,66,92,169,181,169,165,164,185,163,138,115,85,71,41,139,212,200,202,199,198,197,196,195,207,223,160,69,74,73,66,73,133,164,154,162,173,137,108,89,76,49,93,211,202,204,202,199,199,197,196,195,218,197,87,72,70,66,70,52,34,69,83,123,146,105,76,71,48,76,200,208,204,204,202,201,199,198,197,196,213,117,66,72,67,62,64,68,25,40,41,41,56,63,56,43,100,200,209,204,204,204,202,201,198,197,196,195,143,65,71,68,64,58,61,66,22,30,44,35,27,29,19,80,218,206,205,204,203,204,202,199,198,196,194,193
10,83,116,106,50,74,95,97,102,107,115,127,132,138,143,146,149,150,151,153,156,158,161,161,163,165,166,167,167,88,121,100,48,80,96,98,104,108,115,128,133,138,143,146,150,151,152,157,157,160,161,163,164,165,167,168,169,97,123,92,48,85,96,99,104,109,118,129,134,141,145,148,149,156,153,145,160,161,162,163,164,167,167,169,171,107,124,85,50,89,96,100,104,109,120,131,135,141,146,150,147,171,153,122,161,161,162,165,166,167,168,170,172,114,124,76,55,92,96,101,106,110,122,132,137,142,147,150,149,174,161,120,157,163,163,166,167,168,170,172,172,116,125,68,60,94,98,102,107,112,124,132,138,143,147,151,149,171,165,115,150,166,164,167,168,169,171,172,172,121,125,60,64,95,97,102,107,112,126,134,139,143,147,151,152,166,172,126,136,170,165,167,169,171,172,173,174,125,122,54,71,96,97,103,108,114,126,137,141,145,149,153,153,161,173,134,120,170,166,168,170,172,173,174,175,129,117,50,77,97,99,102,108,113,148,137,116,145,149,152,154,158,167,143,110,160,169,169,171,173,174,174,176,133,110,48,81,97,97,109,113,118,159,131,102,124,154,152,155,157,175,157,107,144,173,169,172,173,174,176,177,137,101,49,87,93,111,159,114,107,144,145,115,102,148,154,157,155,188,171,114,128,174,168,173,174,175,176,178,138,91,51,91,95,111,137,102,90,117,158,135,99,130,162,156,156,185,162,122,116,174,170,173,175,176,177,178,138,81,53,93,98,100,109,109,96,105,156,136,107,98,136,158,161,174,155,128,107,169,172,173,176,178,178,179,139,72,59,97,98,103,108,113,114,106,153,140,110,95,93,125,161,158,150,136,104,161,176,174,177,179,180,181,138,64,65,100,99,103,109,113,124,129,168,158,124,101,92,90,117,132,143,136,105,155,177,174,177,179,180,181,133,57,70,99,99,103,110,113,122,154,183,167,140,108,94,82,93,108,129,131,102,147,180,175,178,179,180,181,128,52,75,100,100,104,109,114,170,177,174,173,153,124,102,93,97,113,120,124,98,133,181,176,178,180,181,181,120,49,82,101,100,106,105,128,191,181,174,172,164,143,112,99,99,106,115,115,94,129,182,175,179,181,181,182,111,49,86,101,101,105,107,125,194,181,174,179,165,147,113,97,93,98,109,106,89,151,182,176,179,181,182,183,100,49,90,101,102,106,110,116,167,138,179,184,159,140,110,98,94,102,111,100,107,176,177,180,180,181,182,183,89,50,93,101,102,107,111,114,139,122,195,173,151,138,115,104,97,102,108,94,140,181,176,180,180,181,182,183,78,55,97,101,102,107,113,111,162,177,192,175,149,135,120,106,101,101,103,99,168,178,178,179,181,181,183,184,67,59,99,100,102,107,111,118,187,192,191,167,151,125,120,109,104,100,93,124,180,176,179,180,181,182,184,185,60,64,99,100,102,108,108,130,200,190,183,158,148,119,114,111,106,97,94,162,178,178,180,181,182,183,185,186,53,68,101,100,102,108,108,129,198,192,174,150,138,116,110,109,107,91,121,179,175,178,179,181,182,183,185,186,49,73,102,100,103,109,108,131,202,185,170,144,133,116,109,106,103,86,148,179,176,178,179,181,182,184,185,186,49,78,103,100,103,109,109,134,193,173,173,151,141,121,106,102,94,92,163,176,177,178,179,181,184,185,185,186,49,81,102,101,104,109,112,126,169,171,178,168,150,125,105,97,86,103,173,175,177,179,180,182,184,185,185,187
1,32,62,66,76,88,109,124,135,142,146,150,152,156,162,166,167,169,176,174,175,178,179,179,181,182,183,183,183,39,62,67,78,90,115,127,135,142,148,152,154,157,163,163,184,149,131,183,180,178,181,182,183,183,183,183,183,46,62,70,79,91,116,128,137,144,149,154,157,162,166,167,200,133,90,159,153,185,182,184,185,185,185,185,185,52,63,72,81,95,119,128,139,146,151,155,157,162,175,150,192,130,116,150,104,187,183,185,186,187,187,185,186,55,64,73,82,98,122,132,141,146,153,157,159,165,189,122,182,125,128,166,98,178,187,187,188,188,188,188,188,57,65,73,83,101,124,135,142,149,154,159,155,179,179,120,191,128,132,169,93,170,192,188,190,191,190,190,190,60,68,74,84,104,126,135,144,150,155,161,158,187,166,111,185,122,134,178,101,168,196,190,192,192,193,192,192,62,68,76,87,107,127,137,146,151,153,178,153,164,155,114,188,123,131,168,98,165,198,192,195,194,194,195,193,62,68,77,88,110,126,138,147,152,156,192,119,164,137,141,196,116,135,182,96,163,200,193,195,196,195,196,195,63,70,79,89,114,127,138,149,149,171,185,101,169,121,168,190,106,156,198,100,165,202,195,197,197,197,199,198,64,70,80,92,117,129,138,150,147,193,163,105,186,122,153,160,87,163,181,97,171,203,198,199,200,200,200,200,66,71,82,94,117,131,141,150,152,204,141,105,174,95,140,138,81,178,170,91,178,203,199,200,201,201,201,201,66,74,83,96,120,131,143,147,164,209,130,95,155,142,144,153,171,182,161,90,184,203,201,203,202,202,202,202,68,75,84,99,122,132,145,144,183,200,124,114,164,194,142,160,171,165,146,88,187,204,202,204,203,203,203,203,69,75,85,101,124,134,145,144,199,201,178,166,188,189,180,166,145,138,121,86,186,206,202,204,206,206,206,205,69,76,85,103,125,136,144,153,216,181,165,167,158,146,197,200,182,148,114,83,187,207,204,206,207,207,207,207,71,79,86,104,126,137,139,180,216,157,129,121,101,100,188,190,184,166,131,82,188,207,204,207,207,208,209,208,72,79,87,108,129,139,137,199,204,150,145,153,136,177,208,195,167,145,117,67,170,215,206,209,209,209,211,209,71,80,88,110,130,139,139,204,210,169,148,153,185,237,214,182,157,114,96,62,130,221,206,210,210,210,211,210,71,80,88,111,128,140,142,200,225,186,161,153,192,243,219,177,148,106,80,63,112,220,207,211,212,211,211,211,73,81,89,112,127,139,143,191,226,186,169,158,185,233,208,176,136,104,77,58,142,221,208,213,212,212,213,213,74,83,93,115,130,142,145,182,221,184,176,162,170,216,199,165,126,100,77,72,195,216,212,213,214,215,215,215,74,82,93,116,130,141,148,170,215,193,189,174,188,209,176,144,114,94,65,124,221,212,215,215,217,216,216,216,74,84,93,118,130,140,151,160,198,193,186,170,187,193,158,128,106,88,64,175,220,214,216,216,217,218,218,218,75,83,94,119,132,144,152,156,184,189,181,166,155,162,146,120,108,82,77,201,217,216,218,219,219,219,219,219,74,80,92,116,128,142,151,155,170,186,178,164,154,156,153,133,109,73,95,214,212,214,216,218,219,218,218,218,73,79,92,116,125,138,150,156,172,192,187,176,167,154,153,138,103,66,125,221,209,213,216,216,217,218,218,218,72,78,93,115,126,139,150,154,208,192,182,189,169,151,130,119,99,57,128,222,208,213,216,218,218,218,219,219
24,200,202,203,205,205,206,206,206,207,207,207,207,208,208,207,207,208,207,207,206,205,205,203,206,129,46,34,38,203,205,206,207,207,208,209,209,210,210,210,211,211,211,210,210,211,210,211,209,207,206,208,189,105,54,48,42,206,207,209,210,210,211,212,213,212,213,214,213,213,213,213,212,213,213,213,213,211,209,212,192,87,53,60,71,208,209,212,213,213,214,214,214,215,215,216,215,216,215,216,215,215,215,214,214,214,213,213,206,105,56,78,73,210,212,213,214,214,216,217,217,218,218,217,219,218,218,218,220,219,218,218,217,216,215,211,220,156,58,78,55,212,213,214,217,217,218,220,220,220,220,220,220,220,221,221,221,221,221,221,220,219,218,217,217,202,86,65,49,214,215,216,218,219,220,221,222,221,221,221,222,222,222,223,223,223,223,222,222,221,220,219,216,228,129,55,46,215,218,219,220,219,216,225,222,222,223,223,223,224,225,225,225,226,225,225,225,223,221,222,219,227,180,49,44,217,218,222,221,225,171,208,228,224,226,226,226,226,227,227,226,228,227,227,228,226,224,224,223,224,210,139,138,218,219,222,223,225,162,166,237,224,227,227,228,228,227,228,228,228,229,228,227,227,227,225,225,225,214,161,212,219,221,224,225,229,184,126,224,229,227,228,227,227,229,228,229,229,228,228,232,229,228,228,226,228,210,182,229,220,222,225,227,227,207,134,179,238,225,228,228,229,231,234,231,232,236,233,209,224,231,227,228,227,225,208,176,221,223,226,227,228,226,178,129,225,232,229,229,232,224,212,236,224,200,242,186,157,227,230,228,228,226,207,148,222,225,226,227,228,231,209,147,162,237,232,227,241,226,174,218,222,141,190,219,126,203,238,228,226,218,180,151,223,227,227,228,229,231,222,197,156,189,238,226,253,248,213,175,213,162,169,229,139,204,239,226,236,213,149,121,222,226,227,227,228,230,229,211,180,168,213,233,229,254,241,163,187,194,161,219,159,203,240,228,242,169,127,189,222,225,226,226,228,229,229,225,204,213,200,212,205,226,250,184,149,199,159,227,161,180,214,228,220,123,191,241,222,225,228,228,228,229,231,228,241,229,205,185,175,173,233,206,131,165,175,224,181,122,187,221,167,148,235,224,222,225,228,228,228,229,232,231,241,242,191,172,150,136,188,217,128,154,191,202,211,132,203,189,140,213,232,226,222,225,227,227,228,229,232,233,233,247,245,197,149,155,164,204,154,148,216,151,175,197,199,148,150,237,228,228,229,232,234,234,235,235,236,238,236,246,254,245,198,147,160,190,182,132,217,157,220,216,185,128,191,238,228,228,182,186,189,193,197,202,207,211,211,227,255,253,250,184,148,190,220,187,213,231,234,184,161,149,241,240,235,231,117,117,119,121,120,121,123,124,121,141,255,245,251,221,171,159,222,255,255,255,209,173,146,136,169,169,191,210,126,126,128,127,126,126,127,127,128,116,211,247,251,243,195,167,177,249,254,227,192,161,131,141,168,201,225,238,126,125,125,125,127,128,127,128,129,123,146,248,255,245,206,174,167,223,240,206,186,137,143,244,245,237,239,249,125,124,124,124,126,127,127,128,129,132,117,212,243,214,183,162,167,196,212,188,157,123,182,213,219,235,228,235,124,126,125,124,125,125,126,128,128,131,116,184,241,194,188,177,173,187,196,174,130,139,228,194,185,209,220,221,122,124,124,126,126,126,126,128,127,128,119,166,243,217,214,197,185,188,194,164,115,153,224,210,156,176,205,218
20,132,134,136,140,142,144,147,148,151,154,154,154,155,157,159,159,145,158,164,165,165,166,167,167,167,167,169,168,133,136,139,141,143,146,149,150,152,155,156,157,158,158,163,166,122,138,145,157,167,168,168,168,168,168,169,169,134,137,141,144,145,148,150,152,153,155,158,160,160,159,167,171,126,147,130,126,170,169,170,169,169,169,169,169,135,138,142,144,146,149,151,153,154,157,159,159,161,162,170,169,131,165,142,114,168,170,171,171,171,170,171,171,137,139,142,145,147,149,152,154,157,158,159,160,163,163,178,178,142,168,145,114,166,171,171,172,172,172,171,172,137,140,144,146,149,150,153,155,157,159,160,162,164,163,186,178,148,179,152,116,167,173,172,173,172,172,172,173,138,141,145,147,149,152,154,157,159,160,161,161,164,165,186,165,149,181,150,114,166,175,174,174,174,174,174,175,139,142,145,148,150,152,155,158,161,162,165,143,139,166,183,152,146,178,144,111,167,177,176,176,177,176,176,176,139,143,146,148,151,154,157,159,161,165,167,143,106,138,176,147,149,178,139,111,170,178,177,177,177,177,177,177,140,144,147,149,152,155,156,159,159,156,168,149,128,115,128,128,140,165,135,116,173,177,178,178,178,178,177,178,141,144,147,149,153,156,156,176,169,130,148,165,163,142,107,93,112,145,128,118,176,178,179,179,179,179,179,178,141,145,148,150,153,156,161,177,170,141,135,154,170,158,121,83,97,124,115,118,178,179,179,180,180,180,180,179,142,146,150,151,155,157,163,169,150,151,112,89,141,173,148,104,94,106,101,117,181,181,181,181,181,181,181,181,142,146,150,152,155,158,164,170,127,118,99,75,107,178,171,129,89,95,94,114,181,181,182,182,182,182,181,181,143,146,150,153,155,158,165,173,151,133,111,93,108,165,189,152,103,88,88,112,181,182,183,183,184,183,182,182,143,147,151,152,156,158,170,188,159,132,114,107,124,154,198,166,124,89,80,107,181,183,184,184,184,184,183,183,144,148,151,153,157,159,175,184,148,126,119,123,137,176,195,166,135,93,75,107,183,183,184,184,184,184,183,183,144,149,152,154,157,158,178,185,155,135,133,131,156,206,189,158,135,95,73,111,184,184,184,185,185,184,184,184,145,150,154,155,157,159,180,189,160,141,137,142,178,211,189,155,132,100,75,122,185,185,186,186,186,186,184,185,145,150,153,156,158,159,179,194,168,146,140,158,189,199,182,157,131,101,75,134,186,185,186,186,186,185,184,184,146,149,152,155,158,159,179,196,170,157,149,163,196,190,175,155,125,101,77,150,187,185,186,186,186,185,185,185,146,150,153,156,158,161,177,196,176,170,160,162,196,187,171,155,123,96,80,162,187,186,186,186,186,186,185,185,146,151,154,157,158,161,170,194,185,180,174,162,186,179,166,153,125,92,80,163,188,186,186,186,186,186,186,185,147,150,154,156,159,164,165,185,189,184,177,167,172,175,160,153,123,93,84,167,188,187,187,186,186,186,186,186,147,151,154,156,159,164,164,178,190,180,167,161,166,169,155,159,128,93,94,176,187,187,187,187,187,187,187,187,147,151,154,156,159,164,164,177,186,169,159,151,160,167,152,160,128,92,112,185,186,187,187,188,187,187,187,187,147,151,152,156,159,164,166,179,184,166,159,151,159,170,148,157,121,88,138,188,186,188,188,188,188,187,187,187,146,151,153,157,159,164,165,181,193,178,166,157,161,172,141,148,114,89,162,188,187,188,189,188,188,188,188,188
19,171,175,177,177,178,181,182,180,181,183,182,183,182,182,180,178,184,180,175,175,175,175,174,174,172,173,171,171,174,175,178,179,180,182,183,183,184,184,184,184,184,182,183,173,133,159,184,177,178,177,177,176,174,173,173,172,176,177,179,182,183,184,186,186,186,185,186,187,187,182,200,170,105,86,188,181,181,179,178,178,176,175,175,174,177,179,181,185,186,186,188,189,189,186,187,189,187,189,211,171,126,66,175,185,183,182,181,182,177,176,177,177,178,182,185,186,187,188,189,190,190,189,189,191,187,197,208,164,120,60,174,188,184,185,181,178,182,178,178,179,180,184,186,187,188,192,193,191,190,190,190,193,187,203,201,138,96,52,171,184,179,173,179,207,162,176,182,181,182,185,187,189,190,193,193,193,193,193,192,192,187,199,195,147,139,156,188,174,186,181,196,246,115,166,184,181,184,186,190,194,193,193,194,194,193,194,191,196,200,198,188,184,195,215,205,180,178,180,150,120,122,186,184,183,186,187,192,194,195,197,195,194,191,201,212,225,229,215,189,162,154,145,140,114,102,101,112,141,185,185,183,185,190,191,193,194,197,197,200,203,204,222,227,223,210,193,184,180,167,83,83,122,153,169,191,198,188,189,187,185,192,193,195,197,197,205,226,216,212,206,209,208,204,204,200,198,185,83,131,212,197,196,191,190,190,189,188,186,194,194,195,198,194,218,237,220,210,208,217,220,222,211,199,191,153,70,97,207,190,193,193,191,191,191,190,187,194,195,199,202,197,217,231,205,197,212,223,225,210,198,200,203,180,76,57,195,196,194,192,191,191,192,191,189,195,197,200,203,200,219,218,196,199,203,195,195,202,214,201,204,194,86,35,151,205,192,195,194,192,192,192,191,197,200,201,204,204,226,199,201,203,190,175,208,213,198,190,189,155,80,32,116,212,195,197,195,193,192,192,192,200,201,202,205,206,217,212,217,213,215,221,221,205,194,183,167,128,68,32,89,213,198,199,197,196,194,194,193,200,203,204,208,208,208,239,226,214,215,216,202,184,174,190,205,195,98,17,127,214,198,200,199,196,195,195,195,203,203,207,209,211,205,234,232,206,199,177,135,169,217,214,197,195,106,53,200,205,203,201,201,199,199,198,196,203,206,210,209,213,206,211,223,204,197,184,193,223,211,182,166,155,88,47,190,208,203,203,203,202,201,200,198,203,207,210,211,212,211,207,218,231,221,210,214,205,183,168,149,122,59,57,203,206,204,205,204,204,203,200,198,206,209,210,213,214,214,209,213,230,212,191,196,185,165,136,92,53,64,178,212,205,206,205,205,205,204,203,201,208,211,212,213,216,218,204,214,216,202,178,171,142,112,75,40,18,162,226,206,208,206,206,207,205,204,204,203,208,212,213,216,217,219,206,210,211,192,164,147,124,89,58,41,89,223,208,211,210,209,209,209,206,204,203,203,207,211,214,218,218,219,207,198,205,186,154,140,137,89,58,45,107,228,211,213,213,212,212,211,210,206,206,204,208,211,214,218,218,222,206,191,193,184,148,126,94,68,60,51,60,214,216,213,213,213,212,211,211,208,206,204,208,211,213,216,217,221,204,190,180,182,167,141,98,73,64,52,58,209,215,212,212,210,210,210,209,206,203,202,209,211,213,216,217,222,194,194,189,176,159,143,102,74,63,49,69,216,213,213,212,210,210,209,209,206,205,203,209,211,214,217,217,224,187,205,213,196,154,117,86,64,61,40,125,225,212,213,213,211,211,212,210,208,205,204
24,161,166,171,174,178,180,183,186,189,191,194,196,198,199,200,202,202,203,203,203,204,204,204,204,205,204,204,203,163,167,172,176,179,182,184,188,191,193,195,197,200,201,202,203,203,204,204,204,205,206,207,208,207,206,206,206,164,169,173,179,181,184,186,188,192,195,197,199,201,203,204,204,205,206,207,207,208,208,209,209,208,208,208,208,165,171,177,169,183,186,188,191,193,196,199,201,203,204,206,206,207,208,209,209,210,209,210,210,209,209,210,210,166,174,181,132,163,191,188,192,195,198,200,202,204,206,208,209,209,209,209,210,211,209,210,211,211,211,211,211,167,174,175,128,126,194,190,195,197,199,202,203,204,207,209,209,209,210,211,213,213,211,212,213,213,213,213,213,169,175,181,143,108,181,194,194,199,201,202,206,209,211,210,214,214,211,213,214,214,214,214,214,214,214,214,214,169,175,184,158,106,158,200,196,199,202,206,205,193,205,215,195,203,217,213,214,216,215,214,215,215,215,214,216,172,177,184,172,126,126,199,195,166,155,196,202,167,137,176,183,146,194,220,215,216,215,216,216,216,209,192,161,172,178,182,189,150,107,170,191,172,160,163,211,185,135,157,195,144,135,223,216,216,217,217,217,210,193,155,137,174,178,182,190,165,131,135,180,206,189,158,200,196,150,174,195,142,118,210,221,219,218,217,212,198,162,138,211,174,179,183,187,186,159,134,126,204,199,155,182,201,150,169,197,144,105,192,226,218,220,213,209,183,129,183,228,175,180,185,188,194,166,143,143,168,209,169,163,206,156,157,202,160,101,181,228,220,211,212,205,154,125,219,222,176,182,186,190,195,180,189,176,152,187,173,130,188,152,136,200,174,104,149,230,200,197,209,180,122,186,227,221,177,182,187,190,191,201,200,153,127,146,165,110,160,151,126,229,200,100,100,158,175,195,184,131,158,231,221,224,176,181,187,191,193,199,190,159,139,138,155,132,150,161,125,156,140,103,141,167,177,173,144,129,219,225,224,224,177,182,186,189,193,195,211,194,157,143,141,152,129,181,148,130,181,190,196,183,156,145,115,180,231,221,224,224,177,183,187,189,193,196,210,203,180,162,144,134,139,174,192,219,217,204,191,174,143,123,133,222,223,223,224,224,177,182,187,190,194,196,209,211,201,175,146,128,161,198,220,213,206,194,180,160,134,118,198,227,222,225,225,225,177,182,187,190,195,196,209,217,209,175,146,143,177,207,217,211,201,182,163,149,117,168,230,222,225,226,226,226,177,182,187,191,194,196,204,213,215,182,166,171,173,206,214,210,194,176,155,132,126,220,224,223,225,226,226,226,173,180,185,189,194,198,201,208,211,189,172,179,160,192,205,199,185,172,146,117,184,235,225,227,226,227,228,227,135,138,139,141,144,149,149,180,207,188,174,172,145,166,188,175,167,153,130,136,204,205,209,212,214,217,221,222,128,128,129,130,130,131,127,140,209,193,167,158,135,159,183,166,148,135,123,132,136,136,139,141,142,146,146,145,131,132,135,136,136,136,138,134,198,185,157,148,144,162,180,159,137,121,122,139,138,139,139,140,136,134,141,153,131,131,132,133,133,134,135,133,201,182,166,162,161,163,169,150,126,114,128,141,140,140,141,144,159,192,200,189,132,132,135,134,134,136,134,138,213,195,184,180,167,156,162,139,120,113,133,141,140,142,136,159,215,208,222,198,133,133,134,135,135,136,134,142,207,195,192,183,156,148,156,131,120,111,133,141,140,141,140,204,233,202,191,221
15,169,148,145,130,100,154,73,31,74,78,80,84,88,91,103,117,131,141,146,150,157,164,168,172,175,178,182,185,169,150,150,125,109,156,62,36,77,80,82,84,88,91,104,119,133,143,147,153,159,166,171,174,178,181,184,187,170,155,156,118,122,156,51,45,79,80,83,86,89,92,106,122,135,146,150,155,161,169,174,177,181,184,187,190,169,158,159,113,134,152,41,53,81,80,83,87,89,94,109,124,138,148,152,157,164,172,177,181,184,188,190,193,167,160,161,106,146,145,33,61,82,82,86,91,95,97,112,128,141,151,155,159,168,175,180,185,188,191,194,196,165,167,159,119,144,138,90,102,105,111,119,121,117,103,104,116,131,146,154,160,168,175,184,190,192,195,198,201,163,174,148,127,128,126,122,112,107,112,110,106,101,106,107,105,109,115,124,134,135,131,143,169,194,200,202,204,165,160,127,118,116,113,108,101,102,104,103,101,102,114,117,114,111,110,111,123,128,117,107,100,133,184,207,209,170,165,137,108,112,98,96,95,100,104,104,104,109,119,121,117,111,107,112,123,124,121,113,99,89,101,157,203,172,171,143,117,166,83,55,86,89,92,94,98,107,118,121,119,110,110,120,123,118,120,114,106,99,91,88,114,175,175,134,130,178,65,40,84,82,84,86,89,92,107,126,150,134,122,121,121,121,120,114,110,108,109,95,82,180,180,126,143,174,53,48,85,83,83,86,89,91,106,139,177,162,135,123,119,110,114,110,112,114,122,107,91,181,181,120,154,168,42,55,86,84,84,86,89,92,111,168,166,144,107,99,103,87,92,111,115,124,132,115,102,181,180,116,165,159,35,61,86,83,84,87,90,92,139,176,146,127,94,61,65,53,65,137,135,138,130,112,109,182,179,112,173,149,30,68,87,83,84,87,88,108,181,163,129,109,85,49,41,33,67,157,156,146,120,105,109,182,175,113,182,138,27,74,87,84,84,86,86,136,197,165,124,100,63,39,38,31,89,162,170,157,123,101,104,186,173,116,187,124,27,79,87,84,84,86,86,120,188,178,139,104,55,34,40,49,98,158,178,163,127,100,95,191,168,122,194,112,28,82,86,83,84,86,89,97,170,195,166,116,67,33,65,81,96,152,169,148,121,99,84,196,163,131,201,101,32,85,86,83,83,85,89,94,141,206,186,135,84,50,58,106,140,155,142,118,109,94,76,199,154,140,203,87,36,87,85,81,81,83,86,95,121,196,197,170,150,141,143,157,141,124,106,94,95,91,80,201,146,152,201,73,40,87,83,80,80,82,84,95,117,172,200,174,157,154,161,157,118,92,88,84,87,91,93,202,137,164,197,61,46,87,82,79,79,82,84,95,125,185,164,139,135,142,162,154,105,81,82,85,90,90,85,201,131,177,190,49,51,87,80,77,77,81,84,93,148,187,146,130,132,132,152,148,109,81,102,167,116,68,59,198,126,187,181,38,55,84,76,73,74,77,80,91,147,172,139,124,122,117,133,136,110,82,174,232,131,69,59,195,125,193,177,93,100,113,104,98,94,92,94,104,130,150,145,153,152,114,95,127,106,94,172,234,137,75,63,190,127,197,183,148,118,126,126,125,122,124,127,125,126,129,137,146,180,153,99,133,131,118,158,184,123,80,67,185,130,201,182,141,110,118,119,120,120,122,122,123,122,121,124,124,150,177,126,117,127,126,128,130,105,76,71,179,135,204,179,138,115,120,122,123,123,123,124,126,127,128,130,128,131,149,138,129,132,133,133,135,106,64,45
6,163,163,164,165,166,167,167,167,167,168,169,169,167,168,165,165,165,166,165,164,163,162,162,160,158,159,157,156,163,165,165,167,167,168,170,170,169,170,170,170,170,170,167,166,166,166,165,166,164,164,164,163,160,159,161,160,165,168,168,169,169,170,171,171,171,170,170,170,171,171,168,168,168,167,166,166,165,165,165,164,162,161,161,160,166,168,170,169,171,172,171,171,173,171,172,172,170,170,170,170,170,169,167,168,165,166,165,166,164,161,162,160,167,170,171,170,172,174,174,175,175,174,173,174,172,172,171,171,169,170,170,169,169,168,167,159,158,169,160,160,168,170,171,171,173,174,175,175,175,175,173,173,174,174,173,172,174,174,171,168,164,154,151,128,166,196,144,151,170,171,172,174,177,176,176,176,176,176,177,178,176,174,170,166,157,148,152,158,153,143,144,129,146,161,117,153,172,173,174,176,178,180,179,178,177,177,172,170,170,164,150,140,117,125,133,152,141,128,106,92,88,106,144,167,173,174,176,178,179,181,181,180,179,172,142,139,126,136,151,141,131,103,113,110,90,75,78,102,129,158,169,165,175,177,177,179,180,182,182,179,174,163,149,150,116,70,100,99,83,61,71,79,107,130,162,176,175,171,167,166,177,179,179,183,183,183,179,159,163,165,168,154,101,55,39,37,42,72,121,166,180,180,174,171,172,171,169,168,180,181,182,184,180,174,168,160,153,159,166,137,82,52,41,47,131,166,185,181,178,176,175,175,173,171,170,169,181,181,181,178,173,167,163,157,146,155,153,144,125,67,44,46,162,190,175,180,180,179,179,177,174,172,172,172,181,180,178,174,169,159,157,154,149,151,155,159,140,81,47,42,57,184,181,181,180,179,179,177,176,174,174,173,176,177,181,172,163,157,157,157,152,153,155,152,137,90,46,50,35,114,197,181,182,181,179,178,178,176,176,175,188,190,183,171,163,158,155,157,154,148,153,154,150,119,53,42,46,47,173,189,183,182,181,179,178,178,177,175,196,192,176,167,169,159,155,154,157,158,162,161,152,115,60,43,41,35,169,191,184,184,183,181,181,179,178,176,190,180,171,172,166,158,154,154,153,145,143,140,124,95,65,49,31,104,200,184,185,185,184,183,181,181,180,177,194,176,166,169,156,154,158,151,145,133,125,122,107,85,71,60,31,101,203,186,188,185,185,184,183,184,182,179,196,186,163,150,150,155,159,154,143,133,123,123,109,79,70,71,51,39,178,195,189,187,186,185,183,184,183,180,178,180,153,136,140,149,149,146,135,121,103,97,77,62,64,78,54,39,178,196,191,189,186,185,184,184,183,181,63,120,127,115,126,137,136,125,110,95,82,69,32,44,66,72,45,131,201,192,192,191,188,187,186,186,185,184,19,31,74,92,104,118,112,96,76,61,52,46,38,55,67,76,153,202,194,193,193,191,190,188,186,186,185,184,23,22,18,30,45,67,78,70,80,108,135,103,82,86,127,181,202,195,195,193,193,192,191,189,189,187,186,184,16,19,18,0,0,2,8,16,178,209,207,205,197,199,204,201,198,198,196,194,193,194,193,191,190,189,186,185,13,11,22,11,0,0,0,72,211,198,200,199,200,199,197,198,198,196,195,197,194,193,193,192,190,189,186,186,10,8,17,17,0,0,0,164,211,198,202,201,199,200,199,198,197,197,196,196,194,194,192,191,190,188,187,186,7,5,18,18,0,0,53,212,198,201,201,201,201,201,200,200,198,198,197,197,195,195,193,192,191,190,188,186
11,151,156,161,163,167,169,172,174,176,178,180,180,182,184,186,187,188,189,190,191,191,192,193,193,193,192,193,192,152,158,163,165,168,170,172,174,177,179,180,183,184,186,187,188,189,190,191,193,194,194,194,194,194,194,194,194,153,158,163,167,169,171,173,176,178,180,181,184,186,187,188,188,192,193,192,194,195,195,195,195,195,194,195,195,154,159,164,167,170,172,174,177,179,180,183,185,187,188,189,190,177,189,194,195,195,195,195,196,196,196,196,196,155,159,163,167,170,173,175,177,180,182,184,186,188,189,189,197,155,156,200,195,196,196,197,198,198,197,196,196,155,159,164,168,171,173,175,178,181,184,186,187,188,190,189,204,157,145,202,195,197,198,198,198,197,197,197,197,156,160,165,169,172,174,176,178,181,184,186,188,189,190,191,207,141,155,203,196,198,198,199,199,198,198,198,198,157,161,165,169,173,174,176,179,181,184,187,188,189,189,197,205,135,169,203,198,200,200,200,200,199,199,199,198,157,162,167,170,173,175,177,180,181,183,186,188,189,190,207,184,131,183,202,199,200,200,200,200,199,200,199,199,157,162,167,170,173,176,178,180,182,184,187,188,188,189,206,149,133,197,200,199,200,200,200,200,200,200,200,200,157,162,166,171,175,176,178,181,185,185,184,195,204,155,152,135,148,204,197,199,200,200,201,201,200,201,200,199,158,162,166,170,173,176,182,181,172,200,182,155,181,154,126,124,177,203,198,200,201,200,201,201,201,201,201,200,157,163,168,169,179,206,206,188,132,169,180,128,155,151,119,121,196,200,199,201,201,201,201,202,202,201,201,201,158,162,166,174,202,181,193,190,131,159,164,127,176,146,106,138,206,198,200,201,201,201,203,203,203,202,201,200,159,164,164,185,183,160,175,185,130,159,147,134,174,132,100,155,207,198,200,200,201,202,202,203,202,203,202,200,159,164,168,199,174,142,153,173,122,148,132,141,158,121,100,166,206,198,200,200,203,204,204,203,202,203,202,201,160,160,181,205,175,147,153,140,119,144,116,147,147,111,94,170,208,199,201,200,196,192,194,205,206,203,203,202,161,160,201,199,172,151,141,130,132,137,101,167,130,97,104,144,197,195,191,187,181,175,159,161,195,207,202,203,160,164,212,192,171,155,138,122,151,125,87,136,123,129,150,149,170,187,192,187,174,157,150,142,136,200,205,203,159,167,207,192,178,163,143,135,144,149,160,166,177,178,169,174,185,176,161,152,148,164,181,173,156,197,205,203,159,165,201,194,183,170,149,150,171,191,184,182,180,176,163,158,155,138,157,184,200,208,208,207,207,205,204,204,159,166,211,197,183,170,151,156,182,187,174,180,175,165,139,129,145,183,208,207,204,203,204,204,205,205,205,204,157,173,217,185,174,158,150,157,175,175,174,171,158,129,121,165,202,206,202,203,203,204,205,206,205,206,205,205,153,185,199,165,163,156,156,160,159,164,165,146,118,131,185,205,200,201,202,203,203,204,205,205,205,205,206,204,152,190,194,167,163,170,162,162,150,150,140,115,152,197,199,196,199,200,200,200,201,202,203,203,204,202,202,204,155,200,200,168,162,184,166,156,140,132,116,162,199,194,194,196,198,199,199,200,201,201,202,203,203,215,218,221,160,206,201,164,164,185,163,146,130,110,147,197,189,194,195,196,197,198,199,200,200,201,203,202,220,228,228,217,160,207,202,159,165,183,161,146,120,110,181,189,190,192,193,195,197,197,199,200,200,201,202,202,195,172,205,216
19,78,82,88,92,102,110,116,122,126,128,131,135,138,142,144,146,149,150,152,153,155,158,158,159,161,161,163,163,78,83,88,93,103,110,117,123,127,130,132,135,139,142,145,149,150,151,154,156,157,159,159,163,163,164,165,164,80,85,90,96,105,113,119,126,130,131,134,137,140,143,146,150,152,154,157,158,160,161,162,164,165,166,167,166,81,86,93,98,106,115,121,127,131,133,136,138,143,147,150,153,155,157,158,160,163,164,166,166,168,169,167,169,81,87,93,98,108,116,123,129,133,135,137,141,144,149,150,154,159,161,159,162,164,165,166,167,169,167,175,164,82,88,94,100,109,118,125,130,134,136,138,142,148,148,162,161,135,151,167,163,166,168,168,169,166,187,199,106,82,88,95,100,111,119,128,132,136,137,141,144,149,147,198,169,124,98,157,166,166,168,176,179,188,194,134,90,82,89,95,101,112,120,128,134,137,139,141,147,151,146,185,186,136,117,161,180,171,175,187,188,171,122,96,154,83,91,95,103,114,121,128,135,138,138,146,141,148,155,170,185,173,182,178,174,165,150,163,147,103,108,160,182,85,91,96,104,116,123,130,136,135,167,184,146,139,146,160,167,160,150,141,149,132,112,110,113,143,180,180,177,86,92,96,104,115,124,132,137,139,199,169,151,152,157,168,168,156,142,139,126,126,93,159,179,185,179,180,181,85,92,96,106,116,123,133,133,153,185,141,141,149,166,172,168,164,157,137,96,87,109,190,179,179,182,182,181,87,93,98,107,117,124,134,130,170,180,150,149,155,154,145,139,143,127,109,89,69,132,188,178,182,183,182,183,88,94,99,108,118,126,133,134,210,196,172,170,170,160,157,150,135,88,82,86,72,156,188,182,184,184,185,185,88,94,99,110,121,129,135,141,210,190,170,154,146,154,156,148,123,85,77,88,81,169,185,183,185,186,187,187,88,94,100,111,120,130,137,142,190,181,154,135,111,107,126,122,117,89,82,83,107,187,183,184,185,186,188,187,89,94,100,113,121,130,137,140,179,180,156,107,94,68,58,99,123,93,85,88,106,190,184,186,186,187,188,188,90,94,100,113,123,132,139,139,178,184,155,111,80,44,88,122,122,88,83,83,83,177,187,185,187,189,190,190,90,94,102,114,123,132,142,133,175,185,156,125,100,69,72,83,74,66,74,84,83,169,191,187,188,189,190,190,91,94,103,114,124,133,143,132,178,188,157,131,103,90,76,60,60,72,79,85,86,172,193,188,189,190,191,190,91,94,104,115,125,135,144,133,179,187,156,129,106,96,96,80,70,74,80,83,94,181,190,190,192,192,192,192,92,96,105,117,126,134,144,133,169,180,151,127,104,95,94,81,71,78,84,82,114,193,187,192,193,192,192,192,91,96,106,118,128,134,145,134,166,174,147,121,103,95,91,83,78,83,91,79,149,198,190,193,193,194,195,195,90,96,107,118,128,136,144,142,172,169,143,117,101,92,92,89,85,88,82,102,187,190,192,193,194,195,195,195,91,96,109,118,128,137,141,145,183,167,139,112,98,94,96,93,88,82,110,176,190,190,192,193,194,195,196,196,92,97,110,120,129,139,141,147,181,160,141,119,102,97,97,94,83,104,184,189,188,191,194,195,195,196,196,196,92,97,109,120,130,140,141,157,172,153,137,121,103,92,88,89,77,146,190,187,192,193,194,196,196,197,197,198,91,97,109,120,131,141,141,176,172,149,128,110,95,84,81,84,82,162,188,189,192,193,195,196,196,197,199,200
14,156,159,163,166,168,169,170,172,174,174,175,176,176,177,177,178,177,177,178,176,176,176,175,175,175,173,173,172,157,161,164,167,170,171,173,174,176,176,176,178,178,180,180,180,179,180,179,179,179,178,177,176,176,175,175,175,158,162,166,169,171,174,175,176,177,178,179,180,181,181,181,182,181,181,183,182,181,180,179,178,177,177,177,176,160,163,167,169,173,175,176,178,179,180,180,182,183,183,183,185,181,182,174,179,182,183,181,180,180,180,178,177,162,165,168,171,174,176,177,179,181,181,182,185,186,184,185,184,198,188,167,169,169,166,185,183,181,182,181,180,163,167,170,173,175,177,178,181,181,181,185,187,187,186,186,202,199,189,177,167,160,146,144,180,185,182,182,182,164,168,172,175,176,177,179,182,183,184,186,187,187,188,202,203,203,183,176,190,167,142,111,129,189,184,184,183,165,170,173,175,178,180,182,183,186,186,187,188,187,194,204,196,192,138,103,164,144,171,111,79,143,194,183,185,167,170,173,176,180,182,183,184,186,187,189,190,196,208,197,144,117,110,87,83,111,194,145,93,116,191,186,186,169,172,175,179,181,182,184,186,187,189,189,198,215,213,185,147,108,79,77,77,71,162,169,117,97,183,190,187,169,174,177,180,181,183,186,187,190,190,191,213,211,184,151,132,114,88,74,76,88,159,147,126,99,161,196,188,169,174,178,181,182,186,187,188,191,187,208,217,202,174,122,95,95,85,76,95,175,200,183,165,109,141,199,187,170,174,179,182,184,185,188,191,187,200,226,208,197,171,126,96,78,75,87,192,201,187,183,147,94,158,200,191,172,175,179,183,184,187,189,189,192,224,215,205,193,153,125,102,72,69,169,208,195,188,172,146,87,127,205,190,173,177,180,184,186,188,191,189,220,227,213,205,182,158,131,88,64,77,121,165,211,176,157,137,100,91,183,198,173,178,182,185,188,191,189,203,232,224,211,196,180,149,117,82,80,91,87,99,180,150,157,136,117,90,168,203,174,179,183,186,189,192,189,224,231,219,205,194,173,129,102,80,104,113,115,112,105,139,159,140,98,122,199,197,176,180,184,187,189,188,204,232,221,213,198,183,155,125,100,98,120,124,125,130,116,137,149,119,103,192,201,198,176,181,185,187,197,193,225,227,215,204,188,178,147,126,105,111,124,128,126,124,125,128,129,100,177,206,198,199,176,180,186,189,141,189,240,221,207,197,185,167,153,126,107,117,128,125,118,117,128,102,90,171,209,200,201,200,177,181,192,155,92,109,187,216,190,176,165,156,137,106,107,110,120,121,113,113,98,90,161,211,201,203,202,202,177,185,178,106,104,97,95,140,172,164,136,111,88,89,98,98,107,111,99,98,146,194,211,203,205,204,203,203,178,188,131,103,97,96,94,91,100,104,96,83,77,81,83,83,84,84,107,179,217,211,207,207,205,204,204,204,185,157,101,103,92,92,91,96,82,51,63,65,61,61,62,57,108,161,201,215,207,208,209,207,207,206,205,204,176,117,102,94,92,90,89,86,97,64,50,60,56,54,54,47,90,220,211,208,210,210,209,208,208,208,206,205,135,100,95,92,91,88,85,85,92,72,43,55,54,52,55,42,109,218,208,211,210,210,210,209,209,208,207,207,111,97,87,88,86,80,81,81,93,70,41,51,51,49,52,42,173,223,210,212,212,212,211,210,209,208,208,207,110,98,91,80,70,107,96,73,95,59,42,50,48,48,47,59,203,216,212,212,213,212,211,210,210,209,208,208
10,50,50,52,55,56,68,85,97,119,117,109,131,133,139,143,147,151,154,157,159,162,163,165,166,166,167,168,168,50,50,53,55,56,69,87,97,134,124,79,120,141,140,145,149,153,157,159,163,164,166,167,169,169,169,170,170,49,51,53,55,57,71,89,102,123,128,92,74,132,146,147,151,154,158,162,165,167,168,170,171,171,172,172,172,50,51,53,56,59,74,92,106,116,122,101,71,76,150,150,153,157,160,163,166,169,171,172,173,173,174,175,174,51,51,54,56,59,77,94,108,117,124,104,86,60,107,159,154,159,162,166,169,172,174,174,175,175,175,177,177,50,51,54,55,60,78,96,110,120,124,122,100,83,61,139,162,160,165,169,172,173,176,178,178,177,177,179,178,50,51,54,56,61,80,97,112,119,124,137,121,91,66,80,165,163,168,172,173,175,178,178,179,179,179,180,180,51,52,54,53,66,84,102,111,133,97,119,144,112,97,61,140,172,169,173,176,177,178,179,179,181,182,182,182,51,53,50,94,113,68,87,121,144,83,71,149,136,110,73,97,176,169,174,176,178,179,181,181,183,183,184,183,50,53,48,103,104,53,45,76,110,90,48,108,156,109,84,61,158,174,174,177,179,182,183,183,184,185,185,185,50,53,52,61,74,55,49,43,52,85,69,54,139,119,83,59,110,184,174,179,180,183,185,186,186,186,186,187,50,52,56,54,71,73,52,47,47,84,92,68,67,117,96,94,59,161,181,180,182,184,185,186,186,186,187,188,50,51,55,56,72,93,96,73,52,77,106,87,56,57,81,99,58,107,188,180,184,184,186,187,188,189,190,189,50,51,54,56,74,93,112,125,104,65,110,106,82,49,51,72,66,61,170,185,185,186,187,188,189,190,190,191,49,50,52,56,75,93,106,133,143,76,57,134,111,79,48,45,58,49,148,191,184,187,187,189,190,189,190,191,49,50,51,56,75,99,115,137,146,112,29,112,145,103,75,53,54,44,132,191,182,185,186,188,189,190,190,191,49,49,50,57,73,120,137,129,160,133,54,61,162,120,99,72,52,40,117,193,183,185,187,188,188,190,190,191,46,48,49,57,74,110,148,123,150,140,83,90,162,132,115,82,52,39,105,192,183,187,189,190,190,191,191,192,49,48,47,55,76,93,133,128,125,136,102,124,151,117,112,77,57,46,97,193,184,186,189,189,190,190,191,191,82,80,80,82,88,91,109,129,125,148,116,110,151,108,107,79,60,50,87,187,185,188,191,193,195,196,197,199,76,78,82,83,83,78,85,132,135,144,151,107,136,119,109,85,62,53,67,113,116,119,123,126,130,133,138,142,80,80,80,84,86,88,82,135,160,134,160,113,77,120,107,88,66,58,56,89,95,96,96,94,94,94,93,94,80,81,82,85,86,88,84,107,164,147,138,129,76,99,105,86,68,59,54,89,104,99,101,102,103,103,104,104,79,81,82,84,86,88,88,91,149,156,149,157,147,110,97,81,67,58,55,83,102,98,98,101,101,101,103,103,79,81,82,84,86,86,89,84,118,152,154,149,157,135,93,73,67,61,57,81,101,99,99,100,100,100,101,102,79,80,81,83,85,86,87,89,90,138,156,146,143,141,99,71,73,67,58,80,100,98,99,100,99,100,101,102,78,78,80,82,85,86,88,90,87,105,148,144,132,124,109,90,87,74,55,73,100,98,99,102,99,99,100,98,77,78,79,81,83,85,87,87,89,86,125,136,124,112,111,110,101,83,61,61,94,99,99,99,99,101,96,124
10,11,54,41,0,0,27,30,36,42,52,67,75,81,88,92,96,98,99,101,105,108,111,112,114,116,118,119,120,18,60,33,0,7,28,31,38,44,52,69,76,83,88,92,97,98,100,106,107,110,112,114,115,117,119,120,121,29,63,23,0,13,28,32,38,45,56,70,77,86,91,95,96,105,102,92,110,111,113,115,116,119,120,122,124,42,64,13,0,19,28,33,39,45,59,72,78,86,92,97,94,125,101,61,111,112,113,116,118,119,120,123,125,51,64,2,0,22,28,34,40,46,61,74,80,88,93,98,96,128,112,58,107,114,114,118,119,121,123,125,125,54,66,0,0,25,30,36,42,49,63,75,82,89,94,99,97,125,117,53,97,118,116,119,120,122,124,126,126,60,66,0,0,26,29,36,42,49,66,76,84,89,94,99,100,118,125,66,79,123,116,119,121,125,125,127,128,65,61,0,0,27,30,37,44,51,67,80,86,91,96,101,101,112,127,77,59,124,118,120,123,126,127,128,130,71,55,0,4,28,31,35,44,50,95,80,53,90,96,100,103,108,119,88,46,111,122,122,124,127,128,129,130,75,45,0,9,29,30,45,50,56,110,72,35,64,102,100,104,106,130,107,41,90,127,122,125,128,129,130,132,80,35,0,16,24,48,109,52,42,90,90,52,35,95,103,106,104,147,124,51,69,129,121,127,128,129,132,133,83,21,0,22,27,47,81,36,20,54,108,78,32,71,113,105,105,142,113,62,53,129,123,127,130,131,132,134,82,9,0,24,30,34,45,44,28,39,106,80,42,30,79,108,112,128,104,69,42,122,126,127,131,133,133,135,84,0,0,30,30,37,43,49,50,41,101,84,45,27,24,65,111,107,98,79,38,112,131,128,132,135,136,137,81,0,0,32,32,37,44,50,63,70,121,108,64,34,22,21,55,74,88,79,40,104,132,129,132,135,136,137,76,0,0,31,32,37,45,50,61,102,140,119,85,43,25,10,24,43,70,73,36,93,135,130,133,135,136,138,69,0,1,33,33,38,44,51,123,133,128,127,101,64,36,24,28,49,58,63,30,75,138,131,134,136,137,137,59,0,9,35,33,40,40,69,150,137,128,126,116,88,49,31,32,41,52,52,25,70,139,129,135,138,138,139,47,0,15,34,34,40,42,65,154,137,129,135,117,93,49,30,24,31,45,41,19,98,139,131,135,138,138,140,33,0,20,34,35,41,45,53,120,82,135,141,109,84,45,31,25,35,47,33,42,130,133,136,136,137,139,140,18,0,24,35,36,41,47,52,83,61,155,127,99,82,53,38,29,36,43,26,84,137,131,136,136,137,139,140,4,0,29,34,36,42,50,48,113,132,152,129,96,78,58,41,35,34,36,32,120,133,133,135,137,138,140,141,0,0,31,33,36,42,47,56,146,151,150,119,99,65,58,44,38,33,24,64,136,132,135,136,137,138,141,142,0,0,32,33,35,43,43,72,162,149,140,108,94,57,51,47,40,29,25,113,134,133,136,138,138,140,142,144,0,0,34,33,36,43,44,70,160,151,129,97,82,54,46,45,43,21,60,135,130,134,135,137,138,140,142,143,0,0,36,33,37,44,44,72,165,142,124,90,75,53,45,41,37,15,95,135,131,133,134,137,139,141,142,143,0,5,36,33,37,45,45,77,152,127,126,99,86,61,41,35,25,23,114,131,132,134,135,138,141,142,143,144,0,8,36,34,38,44,48,66,122,125,133,120,97,65,40,29,15,37,127,129,132,135,136,138,141,142,143,145
3,153,154,155,154,155,154,154,156,154,154,153,152,151,151,151,150,149,148,145,143,142,140,139,138,136,135,134,131,154,154,156,156,156,156,155,157,155,154,155,153,152,152,151,150,143,147,146,144,143,140,139,139,137,135,134,132,156,156,157,157,157,157,157,157,157,156,155,154,153,153,148,166,105,125,151,145,145,142,141,139,137,136,136,134,159,157,158,159,158,159,158,158,158,157,157,157,155,152,158,161,83,128,153,145,144,144,143,141,139,138,137,136,159,160,161,162,160,160,160,160,160,159,158,158,158,152,176,131,80,148,152,148,146,144,144,143,142,139,137,136,163,163,163,164,163,163,162,162,161,161,159,159,156,165,176,96,106,158,151,152,150,149,146,145,143,141,139,137,164,164,165,166,165,165,165,165,164,162,162,162,156,186,159,82,131,162,154,154,152,151,148,146,145,144,141,140,165,166,167,168,167,167,167,166,166,164,165,160,175,179,125,82,153,162,158,157,153,152,151,149,147,145,143,142,168,170,171,170,170,170,169,169,168,167,168,165,183,158,87,112,158,148,155,157,159,154,151,151,149,148,147,144,170,172,173,173,173,172,173,172,171,170,169,167,176,163,126,136,155,148,156,148,142,155,156,151,152,151,149,147,172,173,174,175,174,173,174,173,173,172,171,170,179,185,168,139,139,141,143,157,139,105,151,158,146,148,153,149,174,174,175,176,175,176,175,175,174,174,173,171,198,174,150,153,144,122,116,103,130,113,99,127,133,106,145,154,177,177,176,176,177,179,178,176,176,177,172,183,202,176,156,141,126,110,86,88,66,120,121,94,106,100,149,154,179,179,179,179,178,179,179,178,178,177,179,205,190,145,100,88,119,110,95,87,74,72,106,86,75,144,158,154,180,181,181,181,180,181,180,180,179,178,200,207,152,103,69,52,135,162,111,90,80,77,59,72,108,165,156,156,182,181,183,182,182,182,182,182,178,190,215,182,114,80,64,55,84,181,173,152,106,73,79,78,128,166,157,157,182,183,184,183,185,184,183,185,172,204,211,160,110,85,60,53,47,95,169,194,124,67,91,84,149,166,159,158,185,186,185,186,186,185,185,187,172,196,194,162,111,71,56,51,54,48,77,124,76,89,96,96,163,165,161,160,186,186,186,187,186,186,186,188,176,188,202,172,120,81,57,55,60,71,71,68,70,99,96,105,169,165,162,160,187,188,188,189,188,188,188,190,176,185,210,174,134,96,66,61,72,80,90,103,94,97,95,117,174,165,163,162,188,189,190,190,190,190,189,190,176,182,216,182,140,104,82,63,76,91,108,117,106,93,84,132,176,166,166,165,189,190,191,191,190,191,190,193,177,177,218,185,145,117,99,68,76,105,119,119,109,89,99,165,172,167,167,166,190,189,191,191,193,193,192,194,180,172,211,181,151,121,102,75,78,107,113,109,101,92,157,180,172,171,168,166,191,191,193,193,193,192,192,195,182,170,209,186,156,123,99,81,81,100,106,103,90,113,179,175,173,171,170,168,192,193,193,195,195,194,194,196,187,169,201,185,155,121,100,91,85,97,102,98,91,154,181,175,174,173,171,169,193,193,194,194,195,195,195,197,189,178,201,177,150,122,107,99,87,93,98,94,139,183,178,177,175,173,171,170,193,194,194,194,194,194,195,196,190,177,205,177,153,129,113,100,92,94,97,135,185,180,180,178,176,174,171,170,194,195,195,195,195,196,196,197,187,175,198,169,150,129,106,97,98,94,117,183,185,182,181,180,178,176,172,171
20,163,166,170,172,175,176,179,180,181,182,184,185,185,185,184,186,184,185,184,185,184,184,182,180,179,179,178,177,165,169,172,174,177,180,180,182,183,184,185,187,186,199,188,173,186,187,186,186,186,185,185,184,183,181,180,179,168,172,174,176,179,182,183,185,185,186,187,188,185,217,191,136,186,169,188,188,187,187,187,186,185,183,181,181,171,174,177,178,182,184,185,187,188,189,190,192,189,221,192,142,203,136,182,192,189,190,190,188,187,186,184,183,172,177,179,180,184,186,187,189,190,192,193,194,191,222,193,152,219,142,168,197,194,193,192,191,190,188,186,185,174,179,180,182,186,188,189,191,193,194,194,195,192,231,208,156,224,160,160,199,196,196,195,193,192,191,189,188,176,179,182,185,188,191,192,193,195,196,198,198,195,235,201,163,232,175,157,202,199,199,197,196,194,193,191,189,178,180,184,186,190,193,194,196,196,196,197,199,200,236,192,173,232,173,152,203,201,201,200,198,196,195,194,193,179,183,186,189,192,194,195,197,198,198,215,212,199,235,194,176,235,166,151,207,203,202,201,200,198,197,196,195,181,185,188,190,193,196,198,199,198,205,251,247,195,159,173,174,229,167,158,209,203,204,203,202,200,199,198,197,184,187,189,193,195,197,200,199,218,229,215,218,195,135,115,147,202,157,164,211,206,206,204,204,202,201,200,199,185,188,192,194,197,199,200,210,248,247,200,170,198,177,164,135,153,143,165,213,209,207,206,205,204,203,202,200,186,189,192,196,199,201,202,219,222,179,218,189,171,215,210,153,116,120,165,213,209,209,207,206,206,205,203,202,188,191,194,198,200,202,202,221,219,136,129,129,108,186,214,168,118,109,162,215,211,211,209,208,208,207,206,205,189,192,195,199,201,204,204,225,206,171,149,114,110,125,224,205,145,104,161,217,213,213,211,210,210,209,207,206,191,194,198,201,203,206,204,231,235,198,152,128,134,123,216,233,174,108,151,220,215,215,213,212,212,211,209,207,191,196,199,202,205,208,206,235,235,180,141,133,148,155,219,249,198,129,142,220,216,216,214,213,213,212,211,209,193,198,200,204,207,209,207,236,234,185,155,152,162,181,245,248,205,145,141,221,217,217,216,214,215,214,212,211,194,199,202,205,208,210,210,238,244,200,170,165,178,220,255,241,195,150,136,221,218,217,218,217,216,215,213,213,196,200,203,206,209,213,212,237,249,214,178,177,194,243,255,237,188,149,137,221,220,219,218,218,219,217,214,213,197,199,202,206,209,212,211,232,252,224,190,182,208,251,247,226,186,144,131,223,223,221,220,220,220,219,216,215,197,199,202,206,209,212,211,229,252,227,202,196,212,252,240,210,181,138,125,220,222,220,219,218,218,218,216,215,198,200,205,208,211,213,213,222,249,234,216,216,208,243,229,202,176,132,122,221,223,222,221,219,218,217,216,217,197,201,206,209,212,213,216,217,242,241,224,225,203,218,210,186,166,124,125,226,224,224,223,222,220,220,221,206,200,203,207,209,212,215,218,218,237,249,230,214,189,189,192,170,167,115,144,232,226,226,224,222,226,221,194,133,201,205,207,209,213,215,221,224,236,250,223,193,160,164,183,166,158,102,180,233,228,227,226,228,200,143,108,92,200,205,208,212,216,219,187,119,178,246,199,170,147,160,189,156,137,103,222,230,229,230,230,189,121,104,95,87,168,173,178,182,187,192,122,27,120,238,208,174,147,169,194,135,113,66,145,221,220,223,186,114,100,93,85,83
2,168,169,171,173,172,173,173,174,174,173,172,171,170,169,170,170,168,167,166,161,163,162,159,156,154,152,151,150,171,172,172,174,175,175,176,176,175,175,174,173,175,176,176,174,174,173,173,170,163,162,161,159,158,155,153,151,174,175,176,176,177,177,177,178,178,177,176,178,163,151,156,155,144,137,128,145,174,163,161,161,159,158,155,153,176,176,177,177,179,179,179,179,180,178,180,168,141,133,138,137,123,99,77,64,121,168,168,162,161,160,157,155,177,178,179,180,181,182,182,180,182,183,171,142,141,146,134,137,142,92,83,97,100,102,135,165,162,161,159,156,179,180,181,183,183,184,184,184,185,185,173,159,148,128,112,110,99,39,47,77,88,51,46,156,167,162,160,157,180,180,183,184,185,187,187,188,188,180,173,164,141,108,80,60,74,119,142,109,84,57,103,171,165,164,160,159,181,182,185,185,185,189,189,190,184,160,158,140,100,42,15,75,190,187,185,185,178,172,178,170,166,165,162,160,183,185,187,186,188,189,191,191,180,156,141,94,42,21,10,135,194,179,179,177,176,176,171,170,168,167,163,161,182,185,188,189,189,189,191,191,179,157,99,36,17,5,58,190,184,184,182,180,177,175,175,178,176,169,165,163,185,186,189,190,191,192,193,188,181,155,91,19,17,0,117,201,184,186,184,181,178,180,172,139,130,163,168,165,186,188,189,191,193,194,194,183,180,146,84,19,28,15,110,202,185,187,186,182,182,174,108,68,54,112,175,164,187,188,190,193,194,196,193,184,175,135,59,25,38,17,125,203,188,188,186,187,181,115,82,84,61,107,179,164,187,190,192,194,195,196,191,186,175,126,64,47,36,17,154,201,188,190,188,189,124,78,90,74,60,159,173,168,188,192,193,194,196,197,188,186,173,132,77,51,32,14,100,211,193,188,197,142,58,68,80,49,112,184,171,171,189,192,192,194,196,200,188,184,171,128,81,51,30,30,31,94,173,202,148,85,60,60,54,55,178,176,173,171,190,192,196,196,195,199,187,181,162,126,91,50,30,32,40,34,65,107,63,66,79,54,44,152,183,175,175,172,192,195,197,197,199,198,185,180,163,127,83,47,29,32,38,49,53,44,48,65,55,56,163,190,177,178,176,171,191,195,196,198,200,198,180,187,176,122,83,54,29,35,40,44,56,60,50,57,51,168,192,179,180,179,176,172,194,195,196,198,199,194,178,195,170,116,81,54,30,34,42,46,54,63,52,26,147,199,180,181,180,178,176,174,194,197,197,200,201,189,183,193,158,107,80,59,31,34,47,52,56,60,35,110,198,186,185,184,182,179,178,176,194,197,198,200,204,187,185,185,148,102,83,59,32,36,51,56,61,40,59,200,190,188,187,186,183,180,178,176,195,196,199,200,202,184,186,173,136,105,85,58,32,37,54,52,52,19,146,204,190,190,188,186,185,183,179,178,195,197,200,202,202,183,178,157,125,99,77,54,30,37,52,51,18,91,208,193,193,191,189,186,184,183,180,178,195,197,199,201,199,183,168,151,121,95,74,51,32,38,50,20,69,200,197,195,193,191,190,187,185,183,180,177,195,197,199,201,196,180,156,142,111,87,67,48,34,30,14,76,198,204,196,196,194,193,191,187,185,184,181,178,195,197,200,200,197,175,153,138,108,82,61,45,20,37,137,205,203,198,198,197,195,194,192,188,186,184,182,178,194,197,199,196,193,170,149,132,109,78,55,32,16,160,222,199,199,201,198,197,194,192,191,188,185,183,180,178
19,100,109,117,124,130,131,134,137,142,145,149,153,155,158,162,162,165,165,168,170,172,173,174,173,174,175,175,175,102,111,118,126,129,132,136,139,145,149,153,156,159,162,163,165,168,169,171,172,176,177,174,177,174,178,177,177,103,114,121,128,131,135,137,142,147,152,154,157,164,166,162,168,170,171,173,174,176,174,186,168,176,179,179,178,106,115,124,129,134,137,138,145,150,150,170,164,133,155,172,168,171,175,174,177,171,197,214,98,158,183,178,179,108,117,126,131,135,137,142,147,153,150,212,175,118,90,163,172,171,174,186,189,202,204,129,85,174,183,181,181,108,119,128,135,137,138,143,151,156,148,198,195,136,118,173,191,177,183,200,197,174,114,83,160,188,184,183,182,110,119,129,137,138,138,153,140,146,156,178,194,183,191,183,179,169,150,167,142,91,107,169,191,183,185,185,185,113,122,131,138,132,185,196,150,139,146,164,172,163,146,137,147,131,105,102,106,150,192,189,185,187,187,187,188,113,123,133,135,145,214,164,152,157,166,176,174,161,145,139,119,118,84,169,188,194,186,188,189,188,189,190,189,113,124,136,129,164,188,136,138,149,169,174,169,168,161,131,83,71,108,203,188,188,190,190,189,190,191,191,191,115,124,136,131,192,191,155,155,163,156,143,139,139,114,98,76,53,141,199,189,191,192,191,191,193,194,192,192,117,126,134,142,236,204,178,174,175,166,162,155,131,69,69,73,60,169,197,192,193,193,193,193,195,194,194,193,119,129,134,151,225,196,170,150,140,154,156,147,112,71,66,75,74,183,194,194,197,196,196,196,195,195,197,196,120,130,135,147,201,188,153,127,99,92,110,110,109,74,72,69,108,199,192,195,197,197,198,198,197,197,197,197,120,131,138,145,191,190,153,91,77,41,42,104,120,79,77,71,105,204,194,197,197,198,199,200,201,201,198,198,123,134,142,141,190,193,154,106,64,28,89,119,110,70,69,67,78,191,199,198,199,200,202,202,202,202,201,201,122,134,144,136,191,191,154,117,89,53,52,56,49,48,60,71,75,184,202,199,201,201,202,202,202,202,202,202,123,135,143,135,200,195,157,125,92,77,65,44,46,58,66,72,79,188,203,200,200,203,202,201,202,202,201,201,126,136,145,132,198,194,155,121,96,85,85,65,55,60,69,68,91,198,199,202,204,206,205,204,204,206,204,204,127,135,145,130,185,183,150,119,93,84,81,67,57,65,74,68,123,210,198,204,205,206,205,205,206,206,205,206,128,136,146,136,183,176,145,111,91,84,80,68,64,71,79,69,169,208,202,205,205,206,207,207,208,207,208,208,130,139,144,148,189,169,139,107,88,82,83,75,73,77,66,109,204,200,204,207,207,208,208,208,208,208,208,208,130,141,141,156,195,167,133,103,87,84,86,80,75,70,122,195,202,202,205,206,206,208,208,208,208,208,208,209,131,143,141,163,185,162,135,111,92,87,85,82,65,113,203,198,201,204,206,208,207,209,209,209,209,209,210,210,131,142,142,173,177,151,131,112,90,77,75,75,68,166,201,198,204,205,207,209,210,210,210,210,212,212,211,211,131,142,147,195,170,147,118,98,83,69,68,66,81,184,199,202,205,206,207,210,211,211,213,213,213,213,213,213,133,138,157,200,174,154,127,110,110,77,67,61,96,196,197,203,204,206,207,209,209,211,213,212,213,213,214,214,133,144,153,183,177,157,135,126,118,76,67,58,99,198,196,199,202,205,207,209,209,210,211,211,212,213,213,213
14,211,210,210,211,211,211,212,212,212,212,213,212,212,212,213,212,213,213,212,212,213,211,211,211,210,210,212,172,214,213,214,213,214,214,215,216,217,216,217,216,214,215,215,215,216,217,215,215,215,214,213,213,212,210,216,153,216,216,216,215,217,217,218,219,217,218,216,217,218,218,216,221,221,218,218,218,218,216,215,215,214,215,217,187,220,218,219,220,221,220,219,219,223,228,217,206,221,219,205,201,216,223,223,221,221,220,219,220,217,217,217,207,223,223,223,225,224,223,220,233,249,212,205,204,207,194,162,179,198,204,209,227,223,225,225,223,221,220,220,216,227,226,226,228,226,233,247,242,222,148,122,148,161,159,116,110,179,160,135,229,226,227,227,225,223,223,223,221,229,228,228,231,223,249,255,176,138,112,71,87,108,115,93,87,123,126,92,205,239,230,223,228,226,225,225,225,231,230,230,234,223,255,251,164,90,79,72,67,74,83,86,79,91,100,116,131,205,202,171,185,231,225,227,227,233,232,233,235,225,255,246,181,112,84,80,75,73,72,82,79,80,119,170,132,108,196,166,168,238,229,230,228,237,235,236,236,227,255,230,154,90,73,79,90,86,72,83,88,82,98,119,90,164,219,134,196,243,231,233,232,236,236,237,235,240,255,226,177,127,87,73,86,76,90,81,108,166,206,180,145,219,204,123,208,243,234,234,234,238,239,240,236,249,255,234,194,154,115,98,76,80,116,91,163,255,243,251,226,224,203,121,202,245,236,237,236,242,243,244,236,255,255,244,199,140,112,102,96,95,100,94,208,249,239,242,210,220,193,122,188,250,237,238,237,242,243,245,237,255,255,252,200,133,104,96,93,113,96,120,250,242,245,233,217,221,187,121,162,255,239,239,239,243,244,245,241,255,255,254,215,158,111,88,89,109,94,156,255,240,247,222,235,226,179,107,194,253,240,243,241,243,245,248,240,255,255,255,218,173,124,89,87,102,81,176,250,249,236,210,238,228,152,134,252,245,245,245,243,247,248,252,238,252,255,255,227,185,130,97,92,88,85,133,157,204,201,211,226,206,126,203,255,244,248,244,244,249,249,251,239,252,255,255,228,194,147,108,74,91,105,124,155,175,186,205,210,167,138,249,249,250,251,249,247,249,249,252,242,254,255,255,232,199,160,123,77,97,112,146,177,190,186,180,179,130,189,255,251,253,252,250,248,251,250,254,240,251,255,255,238,204,167,133,91,95,127,168,192,196,173,157,139,116,241,255,253,252,253,252,251,253,250,254,240,243,255,255,242,208,172,136,108,94,126,170,193,192,169,137,115,147,255,250,252,253,254,254,254,253,251,255,243,241,255,255,245,212,180,140,120,97,116,167,191,185,154,126,117,228,255,254,255,253,254,254,253,255,255,255,242,245,255,255,246,217,188,149,130,111,111,175,188,174,143,106,173,255,254,255,255,255,255,254,253,255,255,255,240,250,255,255,245,224,196,150,135,128,106,171,171,155,133,100,227,255,255,255,255,255,255,255,255,255,255,255,242,255,255,255,245,231,200,154,137,131,109,148,155,147,118,127,255,255,255,255,255,255,255,255,255,255,255,255,242,255,255,255,255,232,201,155,136,127,114,132,140,137,100,198,255,255,255,255,255,255,255,255,255,255,255,255,240,255,255,255,252,222,184,147,130,122,116,124,127,114,143,255,255,255,255,255,255,255,255,255,255,255,255,247,243,255,255,255,236,199,165,137,123,116,121,123,123,116,235,255,255,255,255,255,255,255,255,255,255
7,172,171,172,171,171,171,171,171,171,170,169,167,166,166,165,164,162,160,159,158,157,157,155,154,152,148,147,146,174,174,174,173,174,174,174,173,173,172,172,170,169,168,166,166,164,164,162,160,159,158,157,154,154,152,148,150,175,176,176,175,176,177,176,175,174,173,172,171,170,170,170,169,167,166,164,162,161,159,158,156,155,153,150,150,177,176,176,177,177,178,177,177,176,174,173,172,173,172,171,170,170,168,166,165,164,162,160,159,157,155,152,151,178,178,178,179,179,180,179,178,177,176,176,176,175,172,172,171,170,169,168,166,165,164,161,160,159,156,155,153,180,179,179,179,179,181,180,179,178,178,178,178,176,175,175,173,171,171,169,167,166,166,165,162,160,159,157,155,181,181,180,182,181,181,182,182,180,179,178,178,177,176,176,175,173,172,171,170,167,166,165,163,161,160,158,157,182,182,183,183,182,182,182,183,182,180,179,178,178,178,176,175,175,173,173,171,170,170,168,167,164,161,159,158,183,183,183,183,183,183,183,183,182,181,181,180,181,181,181,180,177,178,175,172,169,164,162,159,162,164,160,159,184,184,184,185,185,185,184,187,188,186,181,180,175,168,159,150,141,127,123,126,128,108,112,140,133,157,164,161,185,185,186,185,184,187,186,172,151,135,128,123,124,118,110,107,110,89,95,101,96,95,102,132,109,148,167,162,186,186,186,187,189,179,159,140,123,96,101,108,108,111,109,110,90,85,80,79,78,81,67,85,122,163,169,164,187,186,189,187,165,149,146,141,122,91,86,86,85,89,92,95,93,101,94,72,79,75,71,75,80,88,140,168,186,191,180,149,138,141,142,133,125,112,99,98,100,108,112,111,113,107,99,64,71,76,65,62,52,70,94,169,193,174,142,139,140,140,133,133,134,124,111,108,107,115,106,102,97,89,74,52,51,53,51,53,52,62,122,170,169,146,145,143,141,137,136,142,131,112,75,69,80,83,74,71,76,78,81,96,119,132,144,147,151,156,167,165,142,150,151,145,142,143,141,124,114,91,52,56,60,44,112,160,160,173,180,183,185,182,181,180,174,171,171,173,144,149,148,144,144,138,120,108,107,84,65,48,43,44,50,156,193,182,180,177,175,174,173,169,170,174,156,129,144,143,147,149,143,125,111,101,100,108,105,61,40,48,26,107,193,179,182,178,175,174,177,179,168,107,65,53,142,145,150,144,127,105,97,95,97,110,96,52,42,35,60,176,184,181,180,183,185,179,160,119,75,45,40,47,144,146,141,124,106,95,92,88,86,88,62,42,27,50,173,189,184,185,188,167,134,97,63,44,41,46,37,42,142,134,116,107,105,100,98,86,69,67,60,48,29,69,201,178,172,171,140,78,51,42,45,46,46,47,35,35,123,112,109,106,98,88,76,63,57,71,75,49,31,103,125,71,67,64,50,46,57,43,37,43,44,46,33,29,114,113,107,90,74,67,63,63,68,75,58,42,56,69,34,33,42,32,45,36,39,45,23,33,42,44,31,28,113,106,92,80,75,73,68,63,59,51,48,61,58,53,45,24,42,30,35,31,33,35,20,27,39,42,27,30,97,83,76,77,74,70,59,52,54,57,59,52,45,39,41,23,28,31,25,27,31,26,17,24,38,37,22,30,61,49,55,59,60,60,65,70,54,55,47,42,35,39,34,28,16,29,20,24,28,20,17,23,36,35,20,30,43,77,91,89,87,91,92,72,44,35,42,41,30,34,29,29,11,21,21,22,29,17,19,26,35,33,17,34
8,127,129,130,130,130,131,131,131,131,131,130,130,130,128,127,127,127,125,125,124,124,122,121,120,119,117,116,115,129,130,130,131,131,131,132,133,133,133,132,131,131,130,129,129,128,127,126,124,124,124,123,122,120,118,117,116,130,130,131,133,132,136,136,135,134,134,134,133,133,132,131,130,130,129,128,126,125,125,124,123,122,120,117,117,131,131,132,137,124,96,134,136,135,136,136,134,134,133,133,131,131,130,130,129,127,126,126,124,123,121,118,117,132,134,133,138,111,58,118,141,136,137,136,136,136,135,135,133,132,131,131,130,128,128,127,126,124,123,121,119,133,135,136,136,91,54,119,144,138,138,138,137,136,136,135,135,136,135,133,132,132,128,128,126,125,124,123,121,135,135,138,135,82,53,133,142,140,140,141,139,137,137,136,135,130,121,133,132,121,131,129,128,126,125,124,123,136,137,139,130,70,56,142,141,142,143,134,141,142,140,141,141,107,75,72,120,86,119,133,128,127,126,124,123,136,137,139,135,77,53,138,144,143,120,85,87,138,117,96,107,110,89,50,81,79,98,139,129,129,127,126,124,138,139,141,137,85,49,132,147,131,109,99,70,88,102,72,54,101,101,69,46,78,73,138,131,131,129,127,126,138,140,141,133,83,43,112,152,124,122,112,87,69,102,80,60,101,99,70,37,64,53,99,139,130,129,128,127,138,141,142,137,110,72,84,154,119,122,123,94,62,94,96,65,90,85,54,33,52,71,52,120,135,130,128,127,139,141,142,141,131,92,69,133,112,108,127,98,60,80,104,63,67,87,67,32,45,75,43,101,139,129,129,128,139,142,142,144,133,92,89,104,100,87,122,96,66,58,96,67,55,106,88,43,57,78,45,121,136,130,130,129,140,142,143,145,142,124,119,96,99,79,103,99,61,45,88,76,41,97,86,37,73,72,55,137,134,132,131,129,141,141,144,144,147,137,117,91,75,74,92,96,65,44,58,58,19,29,41,50,86,60,73,144,134,134,131,130,141,142,145,145,148,138,101,80,63,55,67,103,94,60,34,30,60,67,64,100,95,48,94,145,134,134,132,130,141,143,146,145,148,136,114,97,73,63,61,102,105,71,49,70,109,111,99,93,86,38,113,144,135,135,133,132,142,143,146,147,147,145,128,103,73,61,59,91,93,67,55,100,114,111,102,70,60,42,135,138,136,135,134,134,142,145,147,148,147,143,131,105,81,69,61,79,109,106,108,126,117,103,92,64,34,87,148,136,136,135,134,134,144,146,148,147,147,141,133,112,92,75,66,80,130,136,138,130,110,93,84,50,42,139,142,139,137,136,135,134,145,147,148,148,148,139,129,113,93,73,72,89,135,130,125,118,98,84,74,33,95,150,139,140,138,136,135,135,145,146,148,148,149,136,123,117,97,77,78,97,129,122,121,108,89,78,56,44,142,144,142,140,139,137,136,134,145,148,149,149,152,141,126,122,98,84,79,100,122,122,117,99,81,71,35,96,154,140,141,141,140,139,137,135,145,147,148,149,150,149,133,127,106,91,76,97,117,113,106,89,72,51,44,146,147,144,142,142,140,139,137,135,146,147,148,149,150,150,142,129,108,92,79,90,108,100,91,74,59,26,108,155,144,145,142,142,141,139,136,136,146,148,148,149,151,151,144,125,107,90,82,85,98,92,77,65,32,79,157,147,148,145,143,142,141,139,137,136,146,147,149,150,151,151,144,122,106,93,89,85,91,88,73,51,47,147,150,148,147,146,144,142,141,140,138,137
3,144,148,152,154,156,159,161,162,163,162,163,162,161,161,161,160,158,156,157,154,152,152,151,148,146,145,141,140,147,152,154,156,160,162,164,165,167,167,166,165,164,164,163,161,170,158,136,159,154,154,153,151,148,146,145,143,149,154,157,160,163,166,167,168,169,168,169,168,167,167,166,161,188,161,80,152,160,156,155,154,151,149,147,145,152,156,160,162,165,167,169,170,171,171,170,170,170,169,169,164,186,160,73,132,167,159,157,156,154,152,149,146,155,159,162,165,167,169,172,174,174,172,172,172,172,172,172,166,184,163,78,126,171,160,161,160,157,153,151,149,156,160,163,167,170,172,174,177,177,175,175,175,176,174,172,168,187,192,101,114,173,164,163,160,158,155,153,151,158,162,166,168,172,174,177,179,179,179,178,177,178,176,176,169,191,202,105,96,172,166,164,163,161,158,155,152,160,164,168,172,175,178,179,180,181,181,181,181,180,179,179,174,194,194,97,88,172,166,167,165,162,159,157,154,162,166,171,174,178,180,182,183,183,183,183,182,182,182,181,174,204,202,107,90,174,169,168,167,164,160,158,155,165,169,174,178,180,182,185,186,186,186,186,185,183,182,180,177,172,164,105,86,174,172,171,169,166,163,160,158,167,173,177,180,182,186,187,189,189,189,189,187,185,182,195,201,117,73,61,79,181,172,173,171,168,164,162,160,169,175,180,182,186,188,190,191,192,191,190,193,201,184,131,144,175,116,42,107,194,180,175,172,170,167,164,161,172,178,182,185,188,191,194,194,196,192,197,159,179,184,103,70,203,128,82,85,125,149,177,174,171,169,165,162,174,180,184,188,190,193,195,198,196,202,211,144,89,164,142,84,156,131,104,83,113,88,145,183,171,170,168,164,177,182,186,189,192,195,196,197,201,225,206,181,114,127,158,79,104,150,132,103,120,68,124,188,174,173,169,166,180,184,189,191,194,197,200,197,216,206,197,194,126,95,139,77,100,111,82,104,97,55,118,191,176,175,170,168,181,186,190,194,197,198,202,199,231,214,169,175,128,73,116,74,103,168,67,120,132,61,105,194,177,177,173,171,182,188,191,196,197,200,203,204,213,192,150,160,102,56,113,55,100,210,84,96,148,66,76,191,179,179,175,171,183,189,193,197,199,203,205,204,211,219,191,157,96,82,107,74,71,146,92,100,116,60,69,188,182,181,177,174,185,191,194,197,201,203,206,206,220,226,208,159,101,83,120,103,147,190,146,125,84,43,125,197,182,182,180,178,183,191,195,198,203,204,207,206,217,231,218,166,119,94,101,170,199,169,121,98,77,53,184,190,186,184,181,180,182,189,195,199,203,204,206,207,212,228,211,163,157,106,133,215,182,135,108,93,65,103,202,185,186,183,180,178,183,191,197,199,204,206,208,208,214,218,204,177,164,125,126,174,161,122,103,79,55,169,197,187,187,183,179,176,184,192,197,201,205,208,208,222,109,166,209,180,162,133,100,125,121,99,80,56,134,204,191,190,186,184,187,188,185,191,196,201,203,205,212,201,42,60,169,176,161,110,78,77,82,82,57,130,205,193,198,202,201,192,158,103,190,198,202,206,209,210,227,133,42,44,54,105,115,67,65,61,66,47,41,201,209,205,179,139,121,84,37,17,136,138,142,144,144,145,143,70,49,45,35,31,41,65,63,42,38,14,0,65,114,76,31,7,1,0,8,15,99,100,101,101,99,101,76,51,58,38,37,32,29,14,5,5,0,0,0,0,8,0,1,3,11,9,0,5
23,184,185,186,187,188,188,188,189,188,189,189,189,189,189,189,189,189,188,188,187,187,186,186,186,185,184,183,175,186,187,187,188,189,190,190,190,191,192,191,191,191,191,191,192,192,190,188,189,188,188,187,186,185,186,184,184,187,188,189,191,191,192,192,192,192,193,193,193,193,193,193,193,193,193,193,190,190,189,189,188,188,187,187,186,189,191,192,192,192,192,192,193,193,194,194,194,194,194,194,194,194,195,194,193,193,192,191,191,191,190,189,188,191,192,192,193,194,194,194,195,194,195,195,195,195,195,194,195,195,196,196,195,194,189,189,188,185,192,191,190,192,193,194,195,196,196,196,196,195,196,196,197,196,195,195,196,196,196,203,211,202,194,184,156,132,194,193,192,193,194,195,195,196,197,197,196,197,197,198,199,198,197,198,199,199,209,217,208,172,160,153,124,144,194,194,194,195,195,196,198,198,199,200,199,200,200,200,199,201,200,199,202,217,217,190,165,114,144,163,177,193,196,196,196,196,196,197,199,200,200,200,200,201,200,200,200,201,200,199,216,224,193,125,123,168,197,197,197,197,197,196,196,197,198,199,200,200,200,201,201,201,201,201,201,202,200,206,224,221,164,108,182,200,199,199,199,199,197,198,198,198,199,200,200,200,201,202,201,201,202,202,203,203,202,217,224,215,170,173,196,181,191,199,188,187,201,200,199,199,199,200,201,201,201,202,203,202,201,203,202,203,204,215,215,204,213,215,208,162,144,179,177,149,201,200,199,199,200,201,201,202,201,202,203,203,203,197,183,186,197,202,204,138,186,186,187,152,110,161,175,125,201,201,201,200,201,201,202,204,203,202,204,204,211,206,185,164,174,189,208,186,209,207,192,143,93,128,152,115,203,203,201,201,202,203,203,203,203,204,205,206,220,220,212,191,180,169,166,157,166,185,189,153,91,79,104,93,188,203,203,200,201,203,204,203,204,205,206,205,217,227,218,210,193,172,183,172,155,148,149,146,107,73,82,85,139,205,204,199,200,202,202,202,203,203,205,202,214,229,216,208,179,145,158,180,177,161,144,105,116,81,71,87,114,203,204,199,201,202,202,202,203,204,206,201,214,227,222,214,155,118,102,150,155,142,120,87,112,87,66,86,151,204,202,200,202,202,203,203,204,204,207,200,214,228,230,210,149,96,68,106,161,126,85,95,123,93,70,102,191,203,202,201,201,203,204,203,205,205,206,197,216,231,225,195,151,105,53,122,141,100,61,116,127,94,77,158,204,203,203,200,201,201,202,203,205,205,205,198,219,230,215,182,145,109,58,108,109,53,63,127,116,84,105,199,205,204,204,201,201,201,202,203,205,206,205,203,221,227,206,173,140,108,56,91,87,39,93,123,92,78,162,206,205,206,205,201,201,201,202,203,205,206,203,209,226,220,193,167,141,111,65,83,73,50,109,101,78,96,198,207,206,206,205,170,172,175,178,181,186,191,188,210,218,208,180,158,139,112,69,75,71,74,91,88,82,154,206,207,207,207,206,105,104,103,106,109,108,109,130,205,212,197,166,154,150,112,77,66,77,98,95,84,90,150,161,164,167,170,172,104,103,102,102,103,103,103,127,202,207,189,164,166,161,108,88,72,89,107,104,91,96,96,98,101,101,101,107,103,104,104,103,104,103,105,138,205,202,190,173,175,163,117,94,82,93,102,99,96,104,104,106,111,130,161,186,103,105,105,105,105,106,104,152,212,212,203,186,182,163,125,97,86,91,96,96,106,115,133,169,194,207,201,204
24,180,182,182,183,184,184,185,185,185,185,185,184,185,185,184,182,181,179,179,179,178,175,175,174,172,171,168,166,183,185,186,187,188,188,188,188,189,189,188,189,188,188,188,187,186,184,183,182,180,180,179,176,175,174,172,170,187,188,190,190,190,190,191,192,192,190,191,191,191,191,191,190,189,188,186,185,183,182,183,184,179,178,176,173,191,191,193,194,194,195,196,195,194,194,194,194,194,195,194,192,191,190,189,188,187,188,165,160,187,180,179,177,194,195,196,196,196,196,196,197,197,196,196,196,196,197,196,196,195,193,192,192,188,194,157,105,186,184,181,179,197,197,198,199,200,199,199,200,200,205,199,198,198,198,198,196,196,196,195,195,190,201,161,100,184,188,184,181,200,200,200,202,204,202,203,205,193,159,202,203,202,202,202,200,198,198,197,196,193,204,152,104,190,190,187,184,202,203,204,204,204,204,204,206,185,112,157,214,204,206,205,204,203,201,200,198,199,208,143,114,198,189,189,187,204,205,206,206,207,205,205,209,185,135,111,212,206,208,208,207,205,204,203,197,207,207,135,127,204,191,191,189,206,208,208,209,209,209,209,210,204,160,96,191,215,207,209,207,205,205,205,205,214,189,110,144,208,194,195,192,208,210,210,211,211,212,211,210,212,179,101,157,223,209,211,213,213,210,205,193,217,181,89,168,207,198,198,195,210,212,212,212,212,212,212,212,214,196,134,116,221,211,214,195,175,206,195,134,125,167,102,198,204,201,199,196,212,213,214,214,214,214,215,214,217,204,157,90,195,222,202,179,151,148,157,134,97,103,119,213,203,204,201,199,213,216,216,216,217,217,217,217,218,212,170,104,150,229,190,192,165,152,139,155,155,68,134,220,203,205,203,201,216,217,218,218,219,218,218,219,218,217,191,150,111,197,175,205,167,156,159,162,145,71,160,219,206,206,204,202,218,219,219,219,220,220,220,219,218,220,206,167,104,140,146,199,188,124,108,142,163,95,134,223,207,209,206,204,218,219,220,220,221,221,221,221,222,224,213,184,166,137,127,162,188,113,47,132,182,122,87,210,211,209,207,206,219,222,223,223,223,223,223,223,223,226,214,211,186,123,87,135,166,94,54,112,192,169,89,142,224,208,210,209,223,224,225,225,225,225,226,225,224,227,219,209,164,122,98,137,153,94,72,189,205,187,111,95,220,210,210,209,225,225,226,226,227,227,227,227,228,227,226,208,187,174,128,133,169,110,147,220,199,167,93,106,222,211,212,210,225,227,226,227,228,229,229,228,229,230,230,208,202,190,135,130,128,139,220,212,179,155,74,130,230,212,213,212,225,226,226,227,228,228,229,229,228,230,231,205,202,203,161,133,109,203,223,205,172,144,71,156,230,211,213,212,226,226,227,228,229,227,228,229,230,230,230,212,194,192,176,146,117,203,213,194,165,130,69,178,225,212,213,212,226,227,227,229,229,229,230,230,232,229,233,213,187,187,184,167,124,185,216,187,149,108,71,201,221,214,213,211,228,228,228,229,229,231,231,231,232,232,234,222,190,191,184,184,135,164,210,175,133,81,92,226,217,217,214,212,228,228,228,230,231,232,231,230,231,233,232,232,202,197,185,189,138,128,185,143,107,53,133,234,215,218,215,215,222,225,228,230,232,234,235,235,238,240,238,242,212,200,188,175,141,117,144,130,88,53,192,229,219,220,221,206,136,140,144,148,152,157,163,167,171,176,180,182,201,205,180,165,156,127,130,138,69,95,220,211,212,200,148,92
4,151,153,154,155,157,157,156,156,156,157,158,157,157,160,161,158,157,160,160,158,157,158,157,157,156,156,156,155,154,155,156,157,158,159,158,158,159,159,160,160,159,152,147,156,162,147,142,162,162,158,160,160,158,156,157,157,156,158,157,158,160,161,160,159,161,161,157,159,168,156,128,116,136,141,117,114,154,165,161,162,161,159,159,159,158,158,158,160,161,161,162,163,161,157,145,131,127,165,169,127,76,95,139,95,66,158,164,161,163,162,162,161,160,159,160,162,162,163,164,164,169,175,173,139,90,86,169,127,85,33,89,105,41,129,173,162,163,164,163,163,162,163,163,164,163,160,161,133,117,152,153,159,105,45,126,138,81,36,50,100,49,116,177,164,165,165,165,163,164,165,165,164,164,169,170,129,66,62,104,165,133,54,63,149,122,53,30,124,69,111,179,166,167,167,166,165,165,165,165,165,169,151,143,141,86,39,40,154,167,83,36,152,149,78,30,117,94,121,178,168,168,168,168,168,165,166,167,166,166,157,102,125,130,77,13,114,169,90,40,117,150,89,33,73,78,131,179,169,170,170,170,169,166,168,168,168,169,161,95,87,135,94,44,68,92,73,54,62,97,71,38,55,50,67,177,170,172,171,170,170,168,169,169,168,171,166,148,124,104,74,47,63,63,68,77,77,70,58,51,86,89,57,128,183,169,171,171,170,169,169,170,170,173,175,154,128,99,74,63,72,71,72,93,86,87,58,88,131,123,105,78,169,176,173,173,172,170,170,171,172,174,176,146,118,99,80,82,82,87,105,105,122,137,142,104,129,136,116,59,112,187,172,174,173,170,172,172,172,175,172,139,105,91,75,83,98,108,131,146,155,171,170,158,140,120,86,55,58,174,176,174,175,171,173,174,173,174,178,154,123,98,86,96,105,111,166,157,158,167,162,153,137,110,76,54,47,160,181,174,175,172,175,175,175,173,181,168,133,104,89,93,104,129,172,156,163,163,162,149,131,111,78,50,65,179,176,176,176,173,175,176,177,175,176,174,146,120,94,93,112,131,172,164,172,174,162,148,132,106,75,40,115,189,176,179,178,174,175,176,176,176,175,179,161,130,101,104,124,123,168,173,179,179,170,156,126,92,70,45,163,187,180,180,178,174,176,176,177,177,175,178,172,139,110,114,136,127,164,176,184,185,185,156,116,86,54,76,189,181,182,180,179,175,176,177,178,179,175,171,178,151,114,120,135,137,166,175,188,190,181,143,107,86,40,126,193,180,182,181,181,176,177,179,178,180,173,163,169,159,123,122,132,138,171,175,185,183,156,122,98,75,47,170,186,182,182,182,181,176,178,180,179,181,174,157,170,166,140,124,127,137,165,175,170,162,135,109,90,52,84,194,182,183,182,182,182,176,177,179,180,181,182,159,163,167,153,136,132,139,154,168,159,138,120,94,71,48,157,192,183,185,184,183,183,175,176,177,177,178,183,171,151,158,154,143,137,135,135,143,137,117,96,72,42,109,195,182,184,186,185,183,183,176,177,177,178,178,182,178,152,156,151,142,138,128,121,127,126,106,77,51,52,179,185,184,183,184,183,182,181,177,177,179,179,179,182,179,154,155,143,135,133,122,108,113,115,88,61,40,92,195,181,184,185,184,184,184,183,177,179,180,180,180,181,180,158,151,124,116,125,115,112,111,100,74,60,36,129,193,183,186,185,183,184,184,183,178,179,181,181,181,181,182,159,159,132,130,141,132,124,111,96,78,63,38,152,189,184,185,185,185,185,185,183
24,105,108,112,114,116,117,119,121,123,124,125,128,128,129,130,132,133,134,136,136,137,137,138,138,137,138,139,139,105,108,111,113,116,118,120,122,123,125,125,128,129,130,132,133,133,134,136,136,137,139,139,138,139,140,141,141,106,109,111,114,117,118,121,123,125,127,127,129,131,132,133,134,134,135,137,137,138,139,140,140,141,141,141,141,106,110,112,115,117,119,121,123,125,127,128,130,132,133,134,136,135,135,138,139,140,141,141,142,142,142,142,142,106,111,113,116,117,119,122,124,126,128,129,131,133,134,134,136,137,136,138,140,141,142,141,142,142,142,141,141,107,110,114,117,120,121,123,124,127,128,130,131,133,134,134,135,139,140,140,141,141,142,142,142,142,142,143,142,109,109,121,114,99,124,122,125,127,130,130,132,132,132,139,138,135,130,142,141,142,142,142,142,143,144,143,143,109,108,128,128,83,116,125,125,128,130,132,134,134,118,101,138,136,103,103,145,141,142,142,143,144,144,143,144,109,110,116,131,94,91,129,125,127,131,111,128,149,125,86,117,143,113,70,106,149,142,144,145,144,145,146,144,109,112,113,127,121,89,118,127,136,143,116,106,149,128,96,108,146,118,79,65,145,144,145,146,145,146,136,120,108,112,116,120,143,118,91,123,146,155,127,99,140,136,98,94,144,113,78,51,131,148,143,144,146,140,112,87,109,113,116,116,134,131,96,105,137,162,139,105,114,146,106,79,131,101,70,42,119,151,143,146,140,128,99,74,109,113,116,118,120,133,138,122,121,148,146,109,86,128,112,71,104,93,71,44,85,153,146,133,125,116,80,92,109,114,117,119,119,131,142,136,138,145,134,105,72,103,109,69,80,107,79,48,54,129,130,119,117,93,66,130,110,113,116,119,122,122,138,139,135,141,133,104,87,82,120,85,78,135,85,55,90,101,119,120,95,62,111,153,110,114,116,119,123,121,133,149,130,116,115,114,114,79,124,112,60,119,90,111,132,118,112,101,71,90,152,146,110,114,117,120,122,122,131,147,117,108,106,114,112,91,109,102,65,113,141,140,126,112,95,83,74,145,148,147,110,114,118,121,122,124,128,155,134,117,103,104,110,123,108,103,131,147,139,132,122,106,90,68,113,153,146,148,111,115,118,120,122,127,126,157,150,128,107,99,121,134,142,152,154,143,136,128,116,99,74,79,151,149,149,149,111,115,118,120,122,127,125,155,160,134,124,108,113,131,147,161,150,142,139,127,105,85,62,116,154,147,149,148,111,115,118,120,123,125,123,149,164,141,135,125,113,132,145,158,150,144,138,121,101,72,79,150,147,148,148,149,112,116,118,120,122,125,127,136,161,150,140,134,122,129,144,153,149,141,130,117,104,64,125,154,148,149,149,149,111,115,119,121,122,125,128,129,145,154,145,132,123,128,142,148,143,132,119,110,80,93,154,147,149,149,150,149,111,114,118,120,122,125,129,129,138,157,143,131,122,131,136,138,133,123,108,90,72,141,150,148,149,149,151,151,110,114,117,119,121,124,127,128,135,146,132,130,125,127,131,134,130,119,102,71,104,157,146,148,149,149,149,150,108,113,116,118,120,123,125,127,133,137,130,137,134,134,136,132,124,114,95,67,132,150,146,147,148,147,148,148,108,112,115,117,118,123,125,125,133,149,143,148,140,139,133,127,119,108,84,72,144,146,146,146,147,147,148,148,107,111,115,117,118,122,125,124,133,160,147,146,141,137,127,123,119,102,75,82,151,145,146,146,146,147,148,148
20,182,183,185,184,185,185,184,185,185,184,185,184,183,185,184,181,180,179,178,176,175,173,172,171,169,168,167,165,186,187,187,188,188,187,187,188,188,188,188,187,191,177,174,186,182,182,181,179,178,176,175,173,171,170,169,168,189,190,191,190,191,191,190,190,190,191,191,189,204,175,140,190,187,184,184,182,181,180,178,176,175,173,172,171,193,193,194,193,194,194,194,194,194,194,195,192,200,184,123,133,163,191,185,185,184,182,180,178,177,176,174,171,196,196,197,197,198,198,197,197,197,197,198,195,206,182,111,140,133,184,191,188,186,185,184,182,181,178,177,175,198,199,200,200,201,201,201,200,200,201,201,198,210,172,109,177,140,163,199,191,190,188,187,184,183,182,180,177,201,202,203,203,203,204,203,203,203,204,204,201,215,177,119,188,143,148,202,194,193,191,190,188,186,185,182,182,204,205,205,206,206,207,206,207,206,206,206,204,221,173,120,192,163,144,203,196,196,195,194,191,188,188,185,185,206,207,207,207,208,208,208,208,208,209,208,212,222,154,123,201,171,137,203,199,198,197,196,195,191,190,188,187,208,210,210,210,211,211,211,211,212,211,202,214,225,153,141,214,166,130,203,203,201,199,198,196,194,192,191,188,212,213,213,213,214,213,213,213,214,213,196,185,198,165,139,207,171,130,204,204,202,202,200,198,196,194,197,173,214,215,215,215,216,215,215,215,214,217,226,213,178,155,134,192,184,139,200,207,204,203,202,201,199,196,197,184,217,217,217,218,218,218,218,217,219,210,190,213,186,188,141,168,177,136,197,211,207,206,204,203,200,199,199,189,219,219,218,219,219,220,220,220,219,223,173,147,195,202,131,118,141,124,192,216,208,208,206,205,202,200,199,191,221,220,219,220,219,221,221,221,220,228,178,99,184,199,153,116,113,108,184,219,210,209,208,207,203,201,200,199,221,221,221,220,220,222,221,222,222,222,181,127,149,189,179,142,137,98,172,222,211,210,209,208,205,203,202,201,222,223,222,223,223,224,224,224,217,215,188,163,119,127,177,163,147,97,154,226,213,212,211,209,207,205,203,201,225,225,225,225,225,225,226,221,217,203,201,188,148,125,147,169,152,108,136,227,215,214,213,211,210,207,204,202,225,225,225,225,226,226,224,217,202,158,168,192,168,127,127,164,182,137,113,214,220,215,214,213,211,209,206,204,227,227,227,227,227,228,225,216,209,170,110,152,165,112,111,148,192,168,108,164,228,215,215,214,212,210,208,206,228,229,228,228,228,230,227,216,199,175,136,114,144,117,113,184,205,187,121,130,228,217,218,216,213,212,209,208,228,229,230,230,230,230,229,214,212,201,144,120,147,139,156,219,208,174,112,142,230,218,218,216,214,213,211,209,230,231,231,231,231,233,232,212,216,204,156,136,153,206,224,216,188,160,97,174,230,218,219,217,215,214,212,209,232,232,232,232,233,234,233,212,209,199,171,137,155,226,224,200,168,146,102,204,227,219,220,219,217,215,213,209,231,231,232,232,232,233,235,212,196,192,172,141,153,214,206,185,156,126,116,224,223,221,220,219,216,215,218,217,232,232,232,232,233,233,235,219,196,193,172,154,155,213,203,174,143,103,146,235,220,220,218,217,222,219,200,167,233,233,233,233,233,233,235,230,200,191,179,161,146,201,191,157,124,97,201,230,222,222,224,218,196,142,101,96,233,234,234,234,235,235,236,232,209,194,179,159,141,170,161,131,97,131,233,224,224,217,185,138,101,87,84,92
7,143,153,161,167,171,174,176,178,180,183,184,185,186,187,188,188,188,187,187,186,185,183,181,180,179,178,176,174,144,154,162,168,172,175,177,179,182,184,186,187,187,188,189,189,189,188,188,187,186,184,183,181,180,179,178,176,146,155,163,169,173,176,178,180,183,186,187,188,189,190,191,191,190,190,190,189,187,186,185,183,182,181,180,178,147,156,164,170,174,177,180,182,185,186,187,189,191,192,192,192,192,192,192,191,189,188,187,186,185,183,182,180,148,156,165,171,175,179,181,184,186,188,189,191,192,193,193,194,194,193,193,192,191,190,189,188,186,185,183,182,149,157,165,172,177,180,182,184,187,189,191,192,193,194,195,195,195,195,194,194,193,192,191,189,188,186,185,183,150,158,166,173,178,181,182,185,188,190,192,193,194,195,195,195,195,194,193,192,190,188,187,187,188,188,186,185,150,158,166,173,179,182,183,185,186,187,188,188,186,183,180,175,168,165,166,165,158,154,164,168,174,187,187,186,151,159,167,173,179,182,178,168,161,158,158,157,152,144,138,135,122,121,125,125,122,125,147,150,155,184,189,188,152,160,168,173,178,177,164,140,127,129,131,133,132,127,121,115,109,107,109,108,110,111,118,120,141,174,185,188,153,160,168,172,174,168,152,127,111,112,115,119,122,123,123,121,117,107,107,112,110,105,102,100,116,138,160,184,154,161,167,168,165,157,147,131,118,115,120,127,130,131,130,127,118,101,101,110,105,98,95,92,103,117,136,177,160,165,165,162,158,154,147,133,124,124,130,134,130,127,124,117,104,94,96,101,98,96,96,95,101,116,146,182,170,168,165,162,159,153,140,118,104,109,115,115,112,112,112,110,108,116,127,138,145,150,153,156,159,167,182,191,173,170,168,163,154,142,129,103,89,92,91,85,99,126,141,158,173,183,190,195,197,198,197,197,196,195,194,194,173,171,165,154,140,132,122,101,86,77,69,65,78,101,113,148,195,205,204,204,203,202,201,200,198,197,195,194,172,167,155,141,131,126,125,118,98,76,69,70,70,69,67,93,177,206,206,205,204,203,202,201,200,198,196,195,165,154,139,130,126,125,129,127,103,77,70,71,72,70,66,86,173,206,206,205,205,204,203,202,201,200,198,195,147,137,127,123,119,115,117,110,88,69,62,63,67,67,64,82,169,206,206,206,206,205,203,202,201,200,198,196,133,127,122,118,112,103,100,93,78,63,58,64,70,69,69,99,174,206,207,207,206,205,203,202,201,200,198,196,125,119,114,108,101,92,91,92,85,71,68,74,74,74,102,165,201,208,207,207,206,205,203,202,201,200,198,196,115,109,104,100,96,94,98,101,90,76,76,83,93,115,165,201,207,207,207,206,205,204,202,201,201,200,198,196,110,107,104,99,95,95,96,93,85,92,121,147,167,185,200,205,206,205,205,205,204,203,201,200,199,198,197,195,101,101,100,95,90,89,91,99,119,155,185,196,201,203,204,205,206,205,205,204,203,202,201,201,200,198,196,194,73,79,98,102,104,112,132,157,179,193,198,200,202,203,204,205,206,205,205,204,203,202,201,200,199,197,195,193,37,60,132,152,159,169,179,187,193,196,198,200,202,202,203,204,204,204,204,204,203,202,201,200,197,196,194,192,20,66,152,172,178,182,184,188,191,193,195,198,199,201,201,200,200,200,200,199,199,197,196,194,192,190,188,182,17,82,165,175,177,178,179,181,182,183,182,183,184,184,184,181,180,179,178,175,172,170,168,165,162,157,150,133
1,115,118,132,150,163,170,173,179,185,188,190,193,197,200,201,206,205,205,206,206,207,208,208,208,210,210,210,210,115,120,135,153,166,172,176,182,188,192,195,198,200,210,212,174,209,211,212,210,211,211,211,212,213,212,211,211,117,123,139,157,169,174,179,186,193,197,199,201,206,223,229,141,192,185,200,219,214,215,215,215,215,214,214,213,119,125,142,160,172,177,183,191,197,201,206,220,169,221,231,139,185,188,154,227,218,219,221,219,220,218,217,216,119,127,146,162,174,179,185,195,201,203,214,240,149,206,231,133,185,209,135,214,228,225,225,223,223,222,221,220,119,130,150,165,177,181,188,197,204,208,217,244,155,195,238,146,187,217,135,198,235,227,228,228,227,227,226,225,121,133,153,169,181,185,192,200,207,209,222,250,163,181,229,150,190,230,151,187,241,230,232,232,231,231,230,228,121,135,156,172,183,188,193,203,211,219,186,243,171,161,211,151,189,226,154,182,247,234,235,235,235,235,234,232,122,138,159,176,186,190,197,205,224,228,153,232,175,142,219,159,181,235,165,182,251,238,239,240,240,238,237,237,123,141,162,178,187,191,202,208,235,220,146,236,185,131,209,154,179,245,175,182,254,242,245,244,243,242,241,241,124,143,164,180,190,193,205,211,239,218,139,227,203,135,179,175,180,226,179,178,255,246,248,247,246,245,244,244,126,145,167,183,192,196,207,213,247,229,136,196,224,188,192,198,178,170,157,174,255,248,250,249,249,249,247,246,126,147,168,185,195,199,210,216,249,234,138,174,191,195,199,164,170,200,152,176,255,250,254,253,253,252,251,250,128,151,172,189,197,201,214,220,245,237,180,194,135,178,158,142,216,239,216,173,240,255,253,255,255,254,253,254,130,153,175,193,200,204,216,222,255,242,197,173,136,163,130,178,230,235,240,186,155,251,255,255,255,255,255,255,131,155,176,194,202,207,219,227,255,242,191,156,142,170,173,232,252,239,220,165,130,184,255,255,255,255,255,255,133,158,180,196,203,209,222,230,255,251,194,152,156,179,193,250,255,247,207,159,126,167,255,255,255,255,255,255,135,160,182,199,206,211,225,231,255,255,206,153,166,191,214,249,255,244,205,163,116,187,255,255,255,255,255,255,138,164,185,201,207,214,227,232,255,255,226,164,173,200,220,255,255,236,196,161,115,207,255,255,255,255,255,255,141,167,187,203,209,216,230,234,255,255,244,179,181,203,216,255,255,232,185,155,113,224,255,255,255,239,180,123,144,169,190,206,211,219,231,236,255,255,254,193,196,194,213,255,251,225,175,148,115,240,255,217,142,101,82,88,146,171,193,208,212,221,233,239,250,255,255,208,210,188,215,243,246,213,168,138,124,255,193,99,78,83,86,79,148,172,194,209,213,221,232,241,242,251,255,224,214,195,201,242,228,202,157,131,139,175,93,101,91,65,84,87,149,174,197,209,213,221,231,239,242,245,251,230,218,208,185,223,215,189,153,133,115,82,75,97,104,61,66,91,150,176,198,211,214,223,234,240,247,241,247,237,225,219,188,196,214,180,152,130,100,94,74,71,103,78,54,77,152,178,201,213,215,226,235,243,250,243,249,246,233,220,185,180,202,176,146,120,104,93,82,54,83,95,53,60,150,178,202,214,217,228,236,244,249,247,251,235,217,210,187,181,180,165,135,113,108,83,82,59,64,95,70,47,163,181,198,207,213,222,229,238,246,242,250,243,213,216,207,181,166,160,132,110,103,92,73,64,54,81,83,50
15,170,152,153,122,115,156,56,41,78,80,81,84,88,92,106,121,134,143,149,154,161,167,172,175,180,182,185,188,169,156,158,116,127,155,46,48,80,81,82,86,89,94,108,123,137,147,151,156,163,170,175,178,182,185,188,191,168,158,160,110,139,150,38,56,81,81,84,87,89,95,110,125,139,149,153,158,166,173,178,182,185,189,192,194,166,161,161,104,151,141,30,62,81,82,84,86,89,95,113,129,142,152,156,160,169,177,182,186,189,192,196,198,163,162,160,103,159,130,39,77,91,94,103,111,113,101,111,125,141,153,158,163,170,176,185,191,194,196,200,202,163,170,157,125,147,134,114,117,117,123,126,121,113,109,109,111,118,127,136,142,141,135,142,168,194,202,204,206,169,172,143,128,131,125,119,109,109,110,107,104,104,115,117,115,115,114,115,127,131,121,111,101,127,179,207,211,170,157,123,116,113,110,105,100,103,104,104,103,108,120,121,117,111,107,111,124,127,125,117,101,89,96,143,195,173,169,134,112,121,93,88,93,98,101,101,102,111,120,119,116,110,109,119,124,120,123,116,107,100,94,87,102,177,177,131,134,173,63,51,85,84,86,88,91,97,110,125,140,125,120,120,120,122,123,116,110,108,110,97,85,180,180,123,148,173,48,51,86,83,83,87,89,91,106,135,174,155,133,124,118,111,117,110,113,112,124,110,95,180,180,118,159,165,39,57,87,83,84,87,89,92,108,160,166,142,113,102,105,90,92,108,117,122,135,118,104,181,180,114,168,155,32,64,87,82,84,87,89,92,127,177,148,128,100,63,67,56,56,128,138,139,133,113,109,183,178,113,177,144,28,70,86,83,84,86,89,99,168,169,133,113,91,53,41,33,53,149,158,151,126,105,107,184,174,113,184,133,27,75,87,84,84,86,87,120,195,170,128,105,72,41,38,31,74,158,169,162,129,101,101,189,171,118,189,119,27,80,86,84,84,86,87,114,183,177,141,108,63,34,39,51,87,152,176,168,133,102,97,193,166,125,198,108,30,83,86,83,84,86,88,96,160,192,166,123,76,33,55,84,92,141,172,154,126,103,88,197,160,134,203,96,32,87,86,83,83,85,88,95,131,200,188,144,90,48,44,76,128,155,151,126,112,99,78,200,150,145,203,81,37,87,84,81,80,83,85,95,117,184,201,169,142,127,126,147,148,134,115,98,97,93,81,202,143,157,200,68,42,87,82,80,79,82,84,95,116,157,203,188,169,160,161,163,131,101,91,87,86,90,90,201,134,169,194,56,48,88,81,79,78,80,84,96,118,171,184,151,140,143,162,162,119,85,82,81,85,87,81,200,130,181,187,45,53,86,79,76,76,79,83,94,129,194,157,136,136,135,154,156,120,85,86,138,118,69,62,197,125,190,177,45,63,87,78,75,75,77,80,91,134,182,146,129,127,121,137,143,122,86,116,224,142,71,61,193,126,195,180,130,121,128,122,117,114,112,113,118,134,158,143,138,148,121,102,126,124,100,129,220,142,78,66,187,129,199,183,144,110,119,120,119,119,122,125,125,121,120,126,128,167,162,109,102,129,118,128,150,116,81,70,183,132,202,180,140,112,120,121,122,122,123,124,125,125,126,128,125,138,179,144,111,129,130,131,131,107,72,66,176,140,206,178,138,117,121,122,124,124,124,126,128,128,130,130,128,129,143,145,127,132,132,132,132,106,67,45,168,146,205,177,137,119,122,122,123,124,125,127,127,128,130,130,130,131,131,131,131,131,132,132,131,106,75,54
13,163,164,167,171,173,177,179,181,184,185,186,188,189,189,190,189,189,192,193,192,192,191,191,192,192,192,193,192,163,166,170,172,175,178,180,183,186,186,188,190,190,190,191,190,190,187,184,192,193,194,193,193,194,194,195,195,165,168,171,174,176,179,182,184,187,187,189,192,191,191,194,194,196,171,127,137,198,196,196,195,194,194,196,196,167,170,173,176,178,181,183,185,188,188,190,192,191,192,192,200,210,172,121,87,196,190,196,198,195,196,197,198,169,171,174,177,180,183,186,188,189,189,192,192,197,171,145,163,206,167,118,79,139,128,129,174,202,200,199,199,170,172,174,179,182,184,187,189,191,192,194,199,222,171,131,118,196,159,119,62,125,138,92,98,202,200,201,199,170,174,176,180,183,186,188,190,193,193,192,190,207,192,148,121,187,151,102,83,176,155,92,73,184,203,201,201,172,174,178,181,185,187,190,192,192,194,193,142,115,158,159,113,184,173,93,124,191,147,95,73,187,205,203,204,173,176,180,182,185,188,191,193,194,208,193,146,110,104,154,104,197,183,103,144,184,139,91,77,197,205,205,205,174,177,181,185,188,190,192,193,205,193,194,164,124,89,142,111,121,132,77,144,207,152,82,88,206,207,207,207,175,179,183,186,188,191,193,197,202,162,187,167,122,79,119,128,51,25,65,154,187,131,61,111,212,206,208,209,175,179,183,186,188,191,193,203,202,166,159,161,121,74,100,124,72,12,82,166,150,98,68,155,215,208,208,208,176,179,182,186,190,193,196,209,197,163,139,170,115,79,86,113,82,58,132,169,164,151,119,116,212,210,209,209,178,180,183,187,190,193,195,213,199,168,131,162,112,79,79,131,102,124,199,173,151,135,113,82,179,215,210,210,179,180,183,187,191,193,196,214,196,165,129,145,119,94,81,161,132,171,198,180,150,117,97,80,184,216,210,210,179,181,185,188,192,195,199,213,198,176,152,128,120,110,64,156,178,206,194,170,143,108,89,90,205,214,213,212,180,183,186,189,192,194,200,215,200,181,163,140,109,95,106,197,207,211,189,160,132,101,84,107,216,215,216,215,179,183,186,188,191,194,199,212,199,181,168,160,131,123,136,200,209,204,174,144,118,94,80,153,219,215,215,214,179,182,185,189,192,195,197,205,199,188,174,167,141,124,123,193,210,191,156,128,107,88,98,206,214,214,214,214,179,182,186,189,193,195,197,199,197,190,175,171,150,127,131,185,204,176,146,118,97,77,142,217,213,213,213,213,180,183,186,190,193,195,197,199,200,193,176,168,152,131,135,171,186,157,133,109,91,78,182,214,214,214,214,215,181,184,187,191,193,194,197,200,202,192,173,164,145,124,135,165,156,139,119,99,85,111,212,213,214,214,215,215,182,184,186,190,193,195,198,199,202,182,164,153,129,116,141,153,133,128,107,92,81,175,217,214,215,215,215,216,182,184,188,190,194,197,195,198,201,173,162,142,125,127,147,147,130,120,102,84,131,213,214,214,215,215,216,216,183,187,190,193,197,200,192,208,203,177,168,143,131,143,156,135,125,101,90,93,194,217,214,214,215,216,216,216,145,151,158,164,168,169,178,211,206,182,179,145,139,153,145,121,110,90,74,146,217,215,215,216,218,219,219,218,95,98,99,100,101,96,145,205,190,181,178,148,141,150,138,110,95,82,77,118,140,143,148,149,153,160,163,172,104,105,104,103,103,94,153,202,179,167,162,141,135,148,135,98,88,77,81,100,102,102,102,111,130,144,146,159
23,162,164,166,171,173,176,179,180,181,182,184,185,186,186,187,187,187,187,186,185,187,186,185,185,184,185,183,181,163,165,167,171,173,176,179,180,182,183,185,186,186,187,188,188,188,188,188,188,187,186,186,186,186,185,185,182,164,166,168,171,174,178,179,181,183,184,185,187,188,189,190,189,189,188,189,189,189,188,188,187,186,185,186,184,165,166,170,173,176,178,181,182,183,185,188,187,187,186,183,191,192,190,190,190,191,190,189,189,187,187,187,186,166,166,171,174,178,180,182,184,185,184,184,192,203,200,169,149,183,193,193,192,191,191,190,189,188,187,188,187,166,167,172,176,178,180,183,185,184,191,210,207,204,194,179,167,167,148,192,193,192,192,191,191,190,189,188,188,168,169,172,175,178,181,183,187,184,206,205,169,172,144,148,163,142,148,194,192,192,192,193,192,191,189,189,189,168,169,173,176,179,183,185,188,186,204,187,160,115,151,192,187,183,195,195,194,193,193,193,192,192,192,191,189,167,170,174,177,181,184,186,189,186,207,190,176,106,168,203,199,200,196,197,196,196,196,193,192,193,193,191,190,169,171,175,178,183,184,186,189,188,209,193,177,127,178,200,156,190,198,197,197,196,196,195,195,194,193,193,192,170,172,175,178,183,185,187,191,188,214,200,205,216,217,205,118,155,208,196,197,197,197,197,196,195,194,194,193,171,174,177,179,183,185,188,188,192,218,225,227,210,201,164,120,142,209,201,199,198,199,198,197,197,196,195,195,170,174,178,181,184,186,187,200,212,218,222,215,207,197,123,145,168,140,186,200,202,200,199,200,198,197,197,195,172,174,177,182,185,185,213,221,215,218,222,217,204,175,114,137,167,108,111,135,167,205,199,200,199,199,198,197,172,175,178,184,186,189,222,208,202,208,208,195,197,155,109,108,139,120,113,123,119,195,204,201,200,201,199,197,173,175,180,185,184,194,219,204,212,222,216,209,192,148,118,102,109,124,120,130,126,189,206,202,202,201,200,200,172,175,180,185,186,185,228,226,225,218,200,183,164,133,124,115,84,103,123,128,130,192,207,203,203,202,201,200,173,175,180,185,188,185,229,225,203,172,144,136,126,129,133,107,69,100,126,133,135,198,207,204,204,203,202,202,174,176,181,185,188,185,219,206,183,147,128,95,107,142,132,93,94,110,126,134,134,200,207,205,204,205,204,203,173,177,182,185,189,184,209,206,174,133,113,89,125,118,95,94,111,121,121,131,141,207,206,206,207,206,204,203,175,178,182,187,192,181,207,205,167,140,124,103,87,79,96,109,121,128,126,129,181,212,207,207,207,207,205,204,174,178,182,186,192,180,205,205,173,148,127,122,97,93,119,131,136,139,127,157,215,208,209,209,208,207,205,205,173,177,183,186,194,177,203,209,178,152,133,131,117,107,132,140,141,140,128,178,217,210,211,209,209,209,208,206,175,178,184,187,194,178,197,207,176,156,138,133,123,111,132,139,140,136,134,198,214,210,211,211,210,209,209,208,176,178,184,188,194,181,194,204,173,157,139,134,126,117,130,136,141,131,159,217,211,211,211,212,211,209,208,208,175,179,184,188,194,187,192,199,172,154,139,130,129,126,133,138,134,148,205,215,213,212,212,212,211,210,209,208,175,179,184,189,194,189,193,194,165,148,134,132,133,131,131,135,150,207,217,214,214,215,213,213,212,211,210,209,175,179,184,188,194,189,195,198,163,145,135,134,133,134,134,131,191,217,212,214,214,214,214,214,212,211,210,209
14,171,173,174,176,177,176,177,177,178,177,175,176,175,173,172,172,170,170,169,168,166,164,162,161,160,159,158,157,173,174,175,176,178,178,179,179,179,178,178,178,177,177,175,173,171,171,171,170,168,165,164,163,162,159,158,157,175,176,177,178,179,180,180,180,180,181,181,181,179,170,173,179,176,173,173,172,169,167,165,164,164,163,160,159,176,178,179,179,180,181,182,183,183,182,172,157,151,124,112,133,154,175,176,174,171,171,168,166,165,164,162,160,177,179,180,182,183,182,183,184,184,170,143,122,97,74,63,82,95,124,149,169,175,172,170,168,166,166,163,161,179,180,181,183,185,184,185,185,179,158,116,78,63,63,61,71,89,99,104,109,175,173,171,170,168,167,165,163,180,181,183,185,186,186,183,175,160,129,73,46,49,53,50,54,60,78,75,77,171,176,173,172,170,168,166,164,181,182,184,186,187,188,180,161,138,89,57,47,43,48,49,51,49,61,65,65,106,173,174,173,171,169,167,165,181,182,185,187,188,189,178,157,110,57,58,52,51,50,49,47,51,53,70,75,71,168,177,174,171,170,168,166,182,185,186,188,189,189,183,161,118,56,53,48,53,55,50,125,128,137,90,63,64,140,182,176,173,172,171,168,184,186,187,190,189,190,183,160,119,59,49,45,52,50,92,192,191,192,173,108,80,83,124,161,175,171,172,170,184,187,188,190,190,191,184,163,112,62,61,53,45,72,176,191,188,188,188,178,110,97,90,126,179,173,172,171,186,187,188,189,192,192,185,168,123,81,66,58,52,146,197,191,190,189,189,141,107,104,85,138,180,175,173,172,186,188,189,190,192,191,185,172,134,93,68,56,56,173,195,193,191,192,172,108,104,97,82,169,180,175,174,172,188,189,192,193,194,187,183,175,138,100,72,54,68,192,195,192,192,190,122,93,97,82,108,184,180,178,175,174,189,190,193,194,194,186,182,172,140,105,71,54,59,149,186,197,197,154,101,86,88,62,143,185,180,178,175,175,188,191,193,194,194,186,183,173,140,104,74,60,59,67,89,142,159,101,101,95,70,97,182,183,181,180,177,175,189,191,193,194,195,184,187,177,138,108,79,61,63,70,76,80,82,83,94,82,88,178,186,183,181,179,178,176,191,193,194,195,194,181,190,175,136,106,82,60,62,70,78,84,81,79,88,77,167,190,185,184,181,179,177,176,191,193,194,196,193,181,190,170,131,106,87,61,62,71,77,84,87,77,65,136,194,188,186,185,182,180,178,177,191,194,195,198,191,183,185,164,130,112,88,62,62,75,83,85,83,68,89,188,191,189,187,185,183,181,181,178,192,194,195,198,188,184,178,155,129,111,87,62,63,79,86,85,75,66,177,194,190,189,188,186,185,182,181,180,192,193,194,198,188,181,169,149,123,105,86,62,63,80,83,77,58,115,200,193,192,189,188,186,186,183,181,179,192,194,196,198,187,177,166,148,119,101,83,62,64,76,77,65,67,184,196,193,192,190,187,187,186,184,182,179,193,195,196,197,189,172,160,141,116,94,78,62,63,70,68,53,152,201,194,193,193,192,190,187,186,184,183,180,193,195,196,196,188,168,160,139,113,89,73,59,60,54,55,141,203,197,196,195,193,191,189,188,187,185,183,181,192,195,196,195,186,167,155,138,112,87,67,53,52,81,161,202,200,198,197,195,194,191,190,188,187,186,184,182,190,194,193,194,178,158,151,137,111,80,60,46,108,197,203,197,196,196,195,194,192,189,189,187,186,184,182,180
7,172,178,185,191,196,198,201,204,206,209,211,211,211,211,211,211,211,211,210,209,208,208,206,205,204,202,201,200,175,181,186,192,196,199,203,206,207,209,213,213,216,215,214,214,215,213,211,211,210,209,209,208,206,203,204,202,175,182,189,195,198,202,205,208,211,211,213,215,217,216,215,216,215,214,213,213,213,212,210,208,207,206,206,205,178,186,191,197,201,204,207,211,213,214,216,218,218,218,218,219,218,217,217,214,215,215,212,210,210,208,207,206,181,188,192,198,203,205,209,213,214,217,218,220,221,220,220,220,221,222,221,217,212,212,212,215,212,210,210,208,182,189,194,200,204,209,210,213,214,219,219,222,225,227,225,221,217,209,206,180,203,240,185,211,217,214,211,209,185,190,197,202,207,210,213,217,218,220,222,222,215,204,197,200,196,181,182,165,191,215,150,205,214,212,215,212,187,191,199,205,208,211,214,217,216,216,208,194,177,151,166,186,191,163,148,137,129,152,158,226,240,156,214,215,189,195,202,207,210,213,209,185,179,180,179,178,168,156,136,142,126,127,156,159,157,165,182,212,205,130,213,218,189,196,202,208,214,221,200,178,180,171,158,161,165,148,132,125,147,185,209,187,171,162,141,120,138,189,222,216,190,197,202,210,225,212,191,187,179,144,144,171,187,165,158,147,146,166,172,147,121,106,125,167,207,227,221,220,191,197,209,217,205,200,200,195,154,106,132,149,153,138,136,133,108,115,104,111,143,188,228,233,228,222,222,221,192,206,217,210,206,203,190,194,167,117,112,95,82,71,73,84,97,132,182,218,237,237,228,226,225,225,223,222,211,218,214,215,211,191,185,182,185,159,103,72,43,105,174,183,213,237,243,235,230,229,232,232,229,227,227,225,222,216,210,205,194,187,187,188,186,156,111,82,73,102,208,254,239,237,236,235,234,232,231,231,230,229,229,228,221,212,197,190,183,178,170,166,157,132,104,74,81,75,55,173,248,236,238,236,236,236,233,232,231,230,230,229,213,197,188,178,170,164,158,150,146,134,101,65,69,97,74,87,246,240,240,238,238,237,237,235,233,232,231,230,204,198,179,173,162,159,158,155,156,153,109,65,57,83,78,98,250,240,241,240,240,239,238,237,235,233,230,229,102,173,177,171,164,159,154,154,155,143,102,72,71,51,55,63,193,254,239,241,240,239,238,239,238,235,232,230,29,54,143,180,170,163,152,142,129,109,90,85,82,67,53,46,166,255,240,243,242,240,240,239,238,236,234,233,40,24,32,133,179,160,148,135,122,103,91,83,88,69,90,139,233,250,245,246,245,243,242,240,238,239,237,235,32,30,22,28,130,142,122,107,102,78,56,73,77,78,230,255,249,248,248,246,245,243,242,241,240,238,238,236,27,24,22,15,35,85,84,90,75,39,38,55,92,210,255,244,248,249,249,247,246,244,243,242,241,239,238,237,21,17,15,20,12,0,25,209,168,66,103,154,234,255,249,250,250,250,249,247,246,247,245,243,242,241,239,237,5,10,13,20,15,7,186,253,246,239,247,255,254,250,252,251,250,251,250,249,248,248,248,245,244,242,240,239,51,11,8,25,10,172,255,237,244,250,249,248,251,253,253,253,251,253,252,250,250,248,248,246,245,243,240,240,37,45,21,6,66,250,233,241,244,246,248,250,252,253,254,253,252,252,251,250,249,247,247,246,245,242,241,240,0,25,22,0,101,252,233,240,242,244,248,249,250,249,249,252,252,250,250,249,248,247,246,246,243,240,241,240
3,176,179,184,186,187,189,189,191,193,192,193,193,188,211,192,175,193,190,189,187,186,184,182,180,179,178,175,171,180,183,187,189,191,193,193,194,196,197,197,197,189,225,224,142,193,195,191,190,189,189,185,184,182,180,176,175,183,186,189,192,195,196,197,197,199,199,200,199,195,214,250,140,172,203,194,194,193,191,189,187,184,183,179,177,186,188,191,194,196,198,199,200,201,201,201,203,202,203,255,181,156,207,198,197,196,195,193,190,188,186,182,180,187,191,193,196,199,201,202,203,203,204,204,205,208,197,255,214,140,203,201,199,198,197,195,193,191,188,186,185,190,194,197,200,202,202,205,207,206,207,205,206,203,227,255,220,155,195,209,203,201,199,196,196,193,192,189,187,193,196,200,202,202,204,207,209,209,206,221,248,228,242,255,255,213,172,207,207,204,201,201,200,197,195,193,190,194,198,202,205,205,207,208,210,214,204,248,255,255,253,201,227,230,143,206,206,191,207,203,202,199,198,196,194,196,199,204,208,209,211,211,212,211,226,255,255,224,240,200,144,227,184,214,178,175,215,205,205,202,200,199,197,200,203,206,210,212,213,214,216,213,255,255,255,205,179,214,168,189,229,211,153,141,218,208,208,206,204,201,200,202,205,210,212,215,216,217,216,223,255,220,186,234,215,180,206,146,146,199,174,126,185,219,210,208,206,204,203,204,207,212,215,216,218,219,217,231,255,191,102,133,169,128,141,125,88,174,207,159,152,220,212,210,209,207,205,206,210,214,217,217,219,222,219,239,255,172,139,124,119,120,118,114,91,155,221,164,164,220,215,212,211,209,208,208,212,216,218,219,222,224,218,249,255,211,182,140,126,127,133,111,100,198,228,163,179,223,215,214,214,212,210,210,214,217,219,222,224,226,222,255,255,222,166,133,129,139,137,142,171,231,235,165,193,224,216,217,217,214,211,212,215,217,221,224,226,228,225,255,255,203,149,130,135,149,152,204,241,248,229,157,204,226,220,219,218,216,213,213,217,221,223,224,226,229,226,254,255,205,156,139,142,155,181,246,255,243,207,150,211,228,223,221,219,218,216,214,218,223,224,226,229,232,228,253,255,218,167,148,149,159,212,255,255,229,175,159,224,226,223,222,221,218,217,216,220,224,226,229,230,233,229,249,255,225,178,154,157,176,241,255,249,221,159,166,234,226,226,231,228,225,216,216,221,225,226,228,231,231,229,246,255,238,191,161,164,187,255,255,234,208,152,180,237,228,231,188,155,150,132,217,221,224,227,229,231,232,233,243,255,243,202,173,174,194,251,252,222,194,147,199,236,239,194,123,125,117,113,217,221,226,230,231,233,233,236,238,255,247,215,188,190,190,233,231,198,173,147,219,238,229,149,119,116,111,106,218,222,226,230,232,234,235,237,239,255,252,225,198,197,173,197,202,168,147,162,243,228,155,112,98,81,66,48,220,224,226,229,232,234,235,245,210,226,255,233,201,183,153,160,164,150,127,192,184,131,114,104,85,68,68,57,224,227,230,235,237,237,244,215,73,178,255,231,186,154,130,133,137,136,90,65,90,116,115,113,93,62,57,61,201,207,212,215,219,221,229,127,13,148,255,206,155,122,108,122,122,106,44,8,56,100,98,105,114,78,50,57,129,131,134,135,135,132,145,120,48,88,192,198,147,102,116,127,103,64,16,32,85,79,80,85,111,101,60,48,129,126,133,133,128,131,136,144,113,95,125,179,141,110,130,116,86,57,37,60,89,61,58,72,95,108,79,49
2,187,187,187,188,189,189,189,188,188,188,188,188,188,188,188,187,187,187,187,186,185,183,183,185,181,109,80,97,190,191,191,190,190,190,190,191,190,191,191,192,190,190,190,190,187,191,189,190,185,186,187,190,172,94,92,102,194,195,195,193,193,194,194,194,194,196,195,195,191,196,202,174,129,163,177,164,195,191,189,190,184,113,100,97,196,197,197,196,196,197,196,197,198,196,195,198,204,201,167,133,107,112,134,111,151,186,191,190,194,137,99,103,199,199,199,198,198,199,199,200,199,199,210,218,186,139,116,106,101,102,110,101,94,160,199,190,199,152,96,94,202,201,202,201,201,202,202,203,199,209,222,201,135,98,102,99,94,89,98,101,91,158,202,193,198,172,101,80,203,204,204,203,204,204,205,205,201,225,203,140,107,90,93,97,91,87,90,96,128,194,198,195,196,196,107,66,206,206,207,206,207,206,207,205,211,233,167,108,100,93,88,93,96,107,146,175,201,201,199,198,198,198,141,126,208,208,209,209,209,208,209,203,225,220,152,114,100,107,97,98,108,173,212,206,203,203,201,200,200,202,172,158,208,210,211,211,211,211,210,213,230,195,135,101,98,103,97,118,189,210,204,205,206,205,203,202,201,210,139,167,211,212,212,212,212,213,208,224,226,181,134,104,100,96,102,153,223,207,209,207,207,207,207,206,203,208,153,195,212,214,215,214,213,214,213,236,219,174,135,119,110,100,99,172,219,212,212,209,209,208,208,207,205,205,192,178,214,214,216,217,216,213,223,245,207,161,128,117,114,112,106,204,217,213,213,213,212,211,211,209,207,207,210,185,215,215,216,218,218,212,233,240,197,151,119,112,109,112,126,218,216,215,214,213,213,213,213,211,209,210,207,203,216,217,217,217,215,213,244,228,190,150,120,109,108,109,134,221,216,215,214,214,214,213,212,212,212,211,209,203,217,218,218,220,213,228,244,216,180,142,121,112,115,104,150,229,216,216,216,215,215,214,215,215,215,216,215,210,219,219,219,221,215,242,236,205,170,136,119,110,108,98,139,228,217,218,218,218,219,220,214,205,198,191,200,216,221,220,223,216,218,247,229,198,163,130,115,106,102,113,105,168,231,219,223,221,207,195,186,183,179,169,144,172,221,221,225,212,230,242,222,188,154,129,113,96,105,115,117,112,196,221,206,188,181,182,191,186,166,151,139,158,223,225,220,217,243,237,214,175,145,128,106,92,113,116,122,129,129,151,164,181,194,187,168,139,147,189,210,216,224,227,215,231,243,230,205,169,142,125,99,102,126,130,140,141,140,147,169,186,175,147,123,152,217,222,220,218,227,222,219,244,240,225,193,163,139,124,101,112,135,142,146,144,145,149,159,145,137,157,188,221,221,218,218,217,224,218,240,241,232,216,188,157,130,121,107,123,140,148,149,144,137,130,124,152,202,226,228,223,222,220,220,219,213,229,242,236,228,213,182,148,125,121,114,135,145,148,142,132,119,125,180,228,228,224,223,224,223,222,222,222,223,234,235,229,216,192,160,135,125,118,120,138,141,143,129,117,163,213,232,226,226,227,226,225,224,223,224,224,230,232,227,211,192,168,145,128,124,118,126,132,136,130,114,178,236,231,227,227,228,228,228,228,227,225,225,224,228,226,212,191,175,160,139,126,122,124,125,124,122,131,193,236,228,229,230,229,229,229,229,229,227,226,224,224,226,218,200,171,162,142,124,126,127,126,124,119,163,223,237,230,232,232,231,231,231,230,230,229,228,228,226,225
3,140,143,148,151,152,154,154,156,158,158,159,158,153,179,157,138,159,155,154,152,151,149,146,144,143,141,138,134,144,147,152,154,156,158,159,160,162,163,163,163,154,195,194,100,158,161,157,155,154,153,149,149,146,143,140,138,147,151,154,157,161,162,163,163,165,166,167,166,161,182,223,99,135,169,160,159,158,157,154,152,149,147,143,141,150,152,157,160,161,165,165,166,168,168,168,170,169,170,235,145,117,174,165,163,162,161,158,155,152,150,146,144,151,156,159,162,165,168,169,170,170,171,171,172,176,163,234,183,99,170,168,166,164,163,161,159,156,153,150,150,155,159,163,167,168,169,172,174,173,175,173,173,170,197,237,189,115,161,177,170,168,165,162,162,159,157,154,151,158,162,166,168,169,172,174,177,177,174,191,221,198,214,242,246,181,135,174,174,171,168,168,166,163,161,158,156,159,164,168,172,172,174,175,178,183,171,221,253,252,226,167,197,201,102,173,173,157,175,170,168,166,164,162,160,162,166,171,175,177,179,178,181,179,196,238,236,194,212,167,103,197,148,183,141,138,183,172,172,168,167,165,163,166,169,174,178,180,182,182,185,182,240,251,240,172,143,183,130,154,200,179,113,99,187,176,176,174,171,168,166,169,172,177,180,184,185,186,185,193,237,189,151,205,184,143,173,106,105,165,137,82,149,188,177,176,174,171,169,171,175,180,184,185,187,188,186,202,240,156,56,90,132,85,99,81,39,137,174,120,112,189,181,178,176,174,172,174,178,182,185,186,188,191,188,211,234,135,97,80,74,76,73,69,43,116,190,126,125,189,183,180,179,177,175,175,180,185,187,188,192,194,187,222,232,179,146,98,83,83,91,66,53,164,199,124,143,192,183,182,182,180,178,177,182,186,189,191,193,196,191,229,242,191,128,90,86,97,95,101,134,202,206,127,159,194,185,186,185,182,180,181,183,186,191,194,196,199,195,229,240,170,109,87,93,109,112,172,213,221,199,118,171,196,189,188,187,185,181,181,185,191,193,194,197,199,196,228,239,173,116,97,101,115,145,219,236,215,175,109,179,198,193,190,188,186,184,183,187,192,194,196,199,203,199,227,245,187,129,107,109,120,180,238,233,199,138,120,193,196,193,192,191,187,186,185,189,193,196,199,201,204,199,222,248,194,141,114,118,140,213,236,222,190,120,128,205,196,196,202,199,195,184,185,191,195,196,198,201,202,200,219,251,210,156,122,125,152,229,233,206,176,112,143,208,198,202,153,116,110,89,186,190,193,197,200,202,203,204,215,247,216,169,135,137,159,224,225,191,160,106,165,207,211,159,79,81,72,68,186,191,196,201,202,204,205,207,210,237,219,184,152,155,155,204,202,165,136,106,188,210,200,109,74,71,66,60,187,192,196,201,203,205,206,208,210,232,226,195,164,163,136,163,168,130,106,123,216,198,116,67,50,32,14,0,189,194,196,200,203,205,206,217,178,197,243,204,168,147,114,121,126,109,84,157,148,89,69,57,36,17,17,4,194,197,201,207,209,209,217,184,23,142,253,201,151,115,87,91,95,94,42,13,42,71,69,68,45,10,4,9,168,174,180,184,188,190,199,84,0,107,236,174,116,78,62,78,78,59,0,0,3,53,51,59,69,28,0,5,86,88,92,93,92,90,104,76,0,39,157,164,106,56,72,84,57,13,0,0,36,30,30,36,65,54,8,0,85,83,91,90,85,88,94,103,68,47,81,143,99,64,87,72,37,5,0,7,40,9,5,21,47,62,29,0
0,225,225,225,225,225,224,224,223,224,226,225,225,225,224,223,222,222,221,220,221,218,217,218,218,216,216,214,214,227,227,227,226,227,227,227,227,227,226,226,226,226,225,224,223,222,222,221,221,221,220,220,219,216,215,215,215,228,228,227,228,228,228,227,227,227,227,228,229,227,227,226,225,224,224,222,222,223,222,222,220,220,218,217,216,228,228,228,228,227,227,227,227,228,228,229,229,229,228,227,229,228,225,228,229,224,221,221,222,222,220,219,219,229,229,230,229,228,229,228,228,229,229,229,229,228,228,223,207,216,233,210,194,218,213,182,223,222,222,221,221,229,230,231,231,230,230,230,230,230,229,231,233,234,229,197,162,142,178,178,150,146,207,153,195,230,221,222,220,231,231,231,232,232,232,232,231,233,236,233,214,187,194,194,166,134,112,178,160,115,181,174,149,237,221,222,221,232,232,232,232,232,232,232,232,213,207,221,200,154,120,178,173,157,128,179,162,124,159,195,123,178,236,221,223,233,233,233,233,232,232,230,221,188,139,195,196,158,117,165,182,166,127,182,166,123,130,194,152,122,182,230,222,234,234,234,234,233,233,221,215,191,147,179,200,165,130,160,186,158,123,185,170,122,98,185,174,141,117,226,223,234,234,234,234,234,231,209,206,201,169,166,206,166,136,141,187,159,112,162,151,112,103,192,187,130,131,234,223,235,234,235,235,235,226,203,186,199,178,155,197,162,133,126,186,156,96,103,112,84,140,209,182,110,176,238,224,236,237,236,236,234,223,218,180,181,174,134,175,168,140,104,129,119,68,86,97,118,194,205,165,110,219,229,226,236,238,238,237,233,216,200,153,154,140,93,139,163,134,86,72,85,120,169,160,173,206,191,132,139,240,225,227,237,239,238,239,231,214,208,177,145,112,88,94,119,95,76,97,158,203,200,195,173,184,176,99,178,242,227,227,238,239,238,240,231,215,217,197,162,141,129,123,133,136,155,185,206,204,196,194,165,148,141,90,214,234,229,228,238,239,238,240,230,215,224,201,174,158,144,152,175,202,210,214,216,207,189,184,151,127,94,145,242,229,230,229,238,239,238,240,231,210,225,204,181,155,152,160,195,216,217,221,217,198,180,169,141,93,117,233,234,233,231,231,235,237,236,238,235,203,214,204,186,163,159,170,212,221,218,219,208,185,167,152,113,98,223,237,231,232,232,230,236,238,239,239,240,208,210,210,191,179,171,183,215,218,217,210,190,174,155,133,86,196,242,230,233,232,230,229,239,239,239,238,243,219,199,211,203,192,174,187,212,211,210,199,173,156,142,90,158,245,231,234,232,232,230,230,239,239,239,239,241,232,198,207,202,187,170,180,204,197,192,176,155,140,99,123,240,235,234,234,233,233,232,230,239,239,239,239,240,240,206,202,197,179,169,175,194,186,174,158,137,99,102,226,238,235,235,234,233,233,233,232,238,238,238,238,239,240,211,203,189,171,169,171,187,180,159,142,106,96,218,242,235,237,237,234,234,233,232,232,241,240,240,238,241,232,207,202,193,188,186,178,181,177,149,122,84,205,245,234,236,235,236,235,234,233,232,231,233,236,237,237,242,218,203,210,201,201,190,181,176,168,134,93,133,254,240,244,243,241,240,239,238,236,235,234,159,162,164,167,166,183,208,216,209,199,190,182,170,143,125,89,149,213,209,211,214,217,217,217,219,220,221,221,139,138,136,136,130,173,210,217,204,197,190,180,146,133,116,91,116,139,138,137,138,140,140,141,143,145,146,145
7,166,165,165,166,165,165,164,163,162,160,160,160,158,157,157,156,155,154,153,151,150,149,148,146,145,143,142,141,168,167,167,166,165,165,165,164,164,162,162,161,160,159,159,158,157,155,154,153,151,150,149,148,147,145,143,142,170,169,169,168,167,167,166,166,165,165,164,163,162,162,161,159,158,157,156,155,154,152,151,149,149,147,145,144,172,171,171,171,170,169,169,168,167,167,166,165,165,164,163,161,160,159,158,157,156,154,152,151,150,149,147,146,173,173,172,172,172,171,171,170,169,168,167,166,166,166,165,163,162,161,159,158,157,156,155,154,152,150,149,148,175,175,174,174,173,173,172,172,171,170,169,168,167,167,167,165,164,163,161,160,159,158,157,155,153,152,150,149,177,177,176,175,175,174,174,173,172,171,171,170,169,169,168,167,166,165,164,162,160,159,158,157,155,153,152,151,179,179,177,177,177,176,176,175,171,167,171,170,171,170,170,170,168,167,166,164,163,161,160,158,157,155,153,152,180,180,179,178,178,178,177,180,167,155,158,148,150,158,165,168,169,168,167,166,164,163,161,160,159,157,155,154,180,180,181,180,179,178,181,189,178,175,160,120,106,113,127,137,147,158,164,166,165,164,163,162,161,159,157,155,182,182,182,182,181,181,187,190,188,189,165,129,111,98,94,99,105,115,131,146,154,158,160,162,162,160,158,157,183,183,183,183,182,183,190,190,192,188,171,159,150,120,92,85,87,90,92,98,108,118,131,149,162,162,160,159,185,185,184,184,183,187,193,194,194,186,179,177,165,140,111,91,84,83,80,82,86,89,95,118,149,157,160,160,186,186,186,186,185,191,194,196,193,185,180,176,166,155,137,110,87,82,79,80,85,86,84,88,106,127,153,161,186,186,186,185,188,194,197,193,187,180,174,170,169,165,149,120,92,82,82,87,99,97,90,86,88,107,148,161,188,187,187,185,189,196,199,192,184,176,167,166,170,165,147,119,96,85,81,103,144,145,135,127,126,138,158,163,189,188,187,184,192,198,196,186,180,175,167,166,166,153,134,112,95,89,87,106,159,172,169,166,165,165,165,164,190,189,187,184,196,200,193,180,177,175,168,162,152,134,122,108,94,93,95,107,154,173,172,172,170,168,167,165,191,190,184,186,200,198,189,179,175,170,162,153,136,125,118,106,94,91,101,129,165,175,173,172,170,168,167,166,192,189,181,189,199,193,185,180,172,164,156,143,131,125,115,102,88,94,126,160,175,176,175,173,171,169,167,166,192,186,179,193,196,188,182,176,166,158,149,138,132,123,109,108,115,141,167,177,177,177,176,174,171,169,167,166,190,180,181,194,192,184,179,171,162,153,144,136,128,115,110,141,168,178,181,180,179,178,176,174,172,170,168,167,186,176,186,191,188,182,174,166,155,145,139,130,118,110,129,170,184,183,182,181,180,179,177,175,173,171,170,168,180,179,187,187,186,179,164,152,141,135,129,119,112,126,163,184,185,184,183,182,181,179,178,177,174,172,170,169,175,183,186,186,181,168,149,136,127,120,114,111,130,164,184,187,186,185,184,182,181,180,179,177,175,173,171,169,174,183,189,186,167,151,135,122,112,105,104,124,166,186,188,187,186,185,184,182,181,181,179,177,175,173,171,170,175,180,187,177,154,145,128,110,101,100,118,158,186,189,189,188,187,185,184,184,182,181,179,178,176,174,172,171,175,177,180,168,152,147,126,103,95,109,155,184,191,190,189,188,187,186,185,184,183,181,180,178,177,174,173,171
21,129,132,134,136,138,140,141,144,147,148,148,147,146,151,149,149,150,150,148,148,149,148,150,150,147,147,146,144,130,133,135,138,140,142,144,146,147,149,147,155,164,131,150,153,152,152,151,151,151,151,151,151,150,148,149,148,132,135,138,140,142,145,147,148,148,152,148,167,193,123,124,159,154,154,155,154,154,154,153,152,153,153,151,149,134,137,139,142,144,146,148,150,151,154,155,152,194,156,98,153,158,155,157,155,155,156,154,157,148,143,154,150,135,139,141,143,145,147,150,152,154,155,157,152,175,185,126,131,162,157,158,157,158,158,155,177,136,100,158,153,136,140,143,145,147,149,152,154,156,155,156,155,161,201,164,116,155,162,160,160,160,157,162,186,123,105,161,153,138,142,144,146,148,151,153,156,157,157,158,160,156,196,182,118,135,165,160,160,161,156,177,180,108,127,162,154,140,143,146,147,150,153,154,156,157,159,160,161,156,184,193,133,118,166,162,162,162,163,192,164,104,149,162,159,142,144,147,149,153,155,156,158,159,160,161,162,159,174,190,155,109,163,165,164,161,175,183,140,102,163,160,160,143,146,149,152,154,156,158,159,161,162,164,161,173,202,181,161,93,124,172,162,166,189,173,109,123,170,160,161,144,147,150,153,155,157,159,160,161,163,163,168,178,198,184,158,120,91,153,169,176,191,163,99,156,168,163,162,146,148,150,154,157,160,161,161,162,165,167,205,174,165,203,175,167,154,117,146,169,174,128,112,173,165,165,163,147,149,153,155,158,160,161,162,165,165,176,188,188,169,153,161,194,177,114,88,131,133,94,142,173,166,167,166,147,151,153,156,159,161,162,164,167,163,179,179,152,117,69,79,168,177,129,84,96,100,90,167,169,168,168,167,149,152,154,157,161,162,164,167,169,164,184,174,115,114,97,77,117,195,156,101,78,79,103,176,169,169,168,168,149,153,155,159,161,163,166,168,169,166,188,183,167,146,106,108,102,188,180,119,77,66,121,180,170,171,170,170,150,154,157,160,162,165,166,168,170,167,199,201,158,128,109,127,123,189,198,144,93,61,127,182,170,173,172,172,153,156,159,161,163,165,166,168,171,170,203,183,137,124,129,144,154,207,197,157,111,68,121,183,170,173,172,172,152,155,158,161,164,167,168,169,172,172,201,188,158,151,150,152,182,211,189,155,116,69,121,184,172,173,172,172,151,154,158,161,164,166,167,168,172,169,202,199,169,154,160,167,195,211,187,148,123,72,119,185,172,174,173,173,153,157,159,161,165,167,168,170,173,168,198,207,181,156,165,178,206,210,192,150,121,76,122,185,173,174,174,173,154,158,161,163,166,167,169,171,174,170,195,210,184,167,166,188,211,201,185,146,118,73,128,186,175,175,175,174,155,158,161,163,166,167,170,172,176,174,190,211,188,185,176,191,211,198,177,148,112,72,122,189,176,178,177,177,155,159,161,166,167,169,173,174,176,176,183,209,197,196,190,186,205,186,169,145,106,69,119,190,177,179,178,178,157,160,162,166,167,171,174,175,177,177,176,199,204,199,192,180,190,170,155,141,100,64,125,190,179,179,183,180,151,156,159,162,167,170,173,175,177,179,176,191,209,199,180,162,171,162,145,146,96,57,153,196,186,189,169,114,102,103,106,110,112,113,117,118,118,118,120,139,207,189,162,137,147,162,143,141,86,57,137,147,145,150,94,69,76,77,78,77,76,78,81,80,77,81,68,54,188,172,143,128,141,164,132,131,72,42,59,75,83,84,63,64
10,115,120,124,128,131,136,138,142,144,147,147,149,150,150,151,151,152,153,153,152,153,153,152,152,154,153,153,153,119,123,126,131,135,139,142,145,148,151,151,153,154,154,155,155,156,156,156,156,156,156,156,155,157,155,154,154,122,126,131,134,139,142,146,149,152,154,156,157,157,157,159,159,159,162,161,160,160,159,158,158,159,160,159,157,124,129,134,138,142,146,150,154,156,158,159,161,162,161,162,162,164,153,156,166,163,163,162,163,163,163,162,162,127,133,138,141,146,149,153,157,161,163,163,164,165,165,166,162,177,150,103,172,165,165,165,166,166,167,167,165,131,135,140,145,148,152,156,159,164,165,165,166,167,169,168,167,175,181,101,137,176,168,169,171,170,170,170,168,132,138,143,147,150,154,159,163,165,167,168,169,170,172,172,175,172,189,145,102,176,172,172,172,173,172,171,172,134,140,146,149,154,158,161,165,168,169,170,172,172,173,172,164,169,194,194,112,151,181,173,175,175,175,173,173,138,143,148,152,156,161,165,168,170,171,172,174,175,174,186,133,94,191,213,146,109,186,176,179,179,179,178,176,139,144,149,154,158,164,166,169,171,173,175,177,179,175,191,170,84,118,218,175,90,168,184,181,181,181,180,180,141,146,151,157,161,164,168,171,174,176,178,179,181,179,184,216,174,115,153,193,97,141,191,180,183,183,183,183,142,148,153,159,163,166,170,173,174,177,180,182,179,191,179,175,222,142,65,167,118,112,197,181,186,186,186,185,144,149,155,160,164,167,171,174,176,179,180,182,185,196,169,88,153,165,82,75,94,86,199,184,188,188,187,187,145,149,155,160,165,169,172,176,179,181,182,182,211,191,141,52,42,164,124,47,41,50,173,194,189,188,188,189,145,151,157,161,166,170,173,178,181,182,184,180,214,181,85,10,0,116,142,89,36,29,118,203,189,190,189,190,147,153,157,163,167,172,175,180,182,181,194,196,174,210,169,63,0,104,153,137,74,34,86,202,191,192,190,190,148,154,157,163,168,172,177,180,183,181,200,219,190,168,215,144,47,152,180,159,94,32,68,199,195,195,194,192,149,155,160,163,168,174,178,181,183,185,182,188,217,152,153,206,117,158,184,149,103,35,60,200,196,197,197,195,149,153,158,163,167,172,176,180,181,184,185,154,173,142,90,162,108,165,196,145,97,46,58,198,197,197,197,195,149,155,160,163,168,171,174,180,182,181,195,197,157,141,100,108,209,216,192,148,85,44,64,197,196,196,194,194,149,154,158,164,169,173,176,179,182,181,193,216,181,140,129,175,231,209,184,131,76,47,72,202,196,196,194,194,149,154,158,164,169,172,175,180,182,185,183,210,192,179,164,192,222,192,164,116,71,61,63,198,197,196,196,195,150,155,160,165,168,172,176,179,181,184,185,200,199,194,187,178,217,176,151,116,98,86,63,194,197,196,197,197,146,152,158,165,172,176,180,185,187,190,193,197,204,203,199,158,193,171,159,132,124,90,75,203,200,199,199,199,71,75,80,87,93,96,102,109,114,118,117,139,208,205,192,162,161,165,174,151,116,70,82,188,186,190,191,195,61,63,63,63,60,58,57,60,62,61,64,63,170,191,171,161,149,156,190,157,104,66,59,75,79,83,87,90,68,68,70,70,71,75,76,75,74,74,78,64,114,184,156,160,159,161,177,151,99,60,69,76,72,74,72,71,64,65,67,67,67,69,70,75,73,71,71,69,82,175,172,161,169,160,157,155,99,59,78,86,82,87,86,88
7,111,120,127,132,135,137,139,139,142,144,145,146,146,148,148,148,148,148,147,147,146,144,143,142,141,140,138,137,111,121,127,132,136,139,139,141,143,146,147,147,148,148,149,149,149,149,148,147,146,146,144,143,142,142,140,138,113,123,129,133,137,139,141,142,144,147,147,149,149,150,151,151,150,150,150,149,147,147,145,145,144,143,142,140,114,123,130,134,138,140,142,144,146,147,147,150,151,152,152,152,152,151,152,151,149,148,148,147,146,145,144,142,115,123,130,135,138,142,143,145,147,148,149,151,152,152,153,153,153,153,152,152,151,149,149,148,147,146,145,143,116,123,131,136,139,142,143,146,148,149,151,152,152,153,153,153,154,154,152,152,152,151,150,149,148,147,145,144,117,125,131,136,141,143,143,146,149,149,151,152,153,155,156,158,159,159,158,157,156,156,153,152,151,148,147,146,116,124,131,137,141,144,145,149,152,154,155,154,153,152,149,142,136,134,133,135,124,115,127,129,138,150,147,147,117,125,132,137,141,145,144,134,128,123,122,122,117,106,100,106,84,88,94,93,91,90,127,122,110,154,148,148,118,126,133,137,141,143,130,104,93,100,101,105,105,98,92,85,81,81,85,79,86,83,91,85,112,150,152,149,119,126,133,136,140,135,121,95,80,85,86,88,91,93,95,95,96,83,84,92,87,83,78,73,87,103,126,152,119,127,133,133,130,121,115,102,90,86,92,100,104,106,106,102,98,76,76,94,85,77,78,70,82,95,91,150,123,132,129,127,121,121,118,108,102,103,107,113,105,103,100,96,80,68,69,70,65,62,61,59,63,73,109,154,137,132,129,127,127,125,113,91,75,83,93,94,84,78,75,70,67,79,91,105,112,120,124,128,132,138,152,152,138,134,134,131,124,109,105,75,63,76,73,58,76,114,124,139,147,156,163,167,166,165,164,163,161,158,154,153,136,135,133,121,107,105,96,73,64,56,47,41,55,85,86,125,171,163,160,159,159,159,158,157,156,155,154,153,137,136,124,110,102,96,98,97,79,55,52,56,53,46,38,41,151,166,162,162,161,161,160,159,158,156,155,153,135,123,107,101,99,98,106,110,86,56,55,58,58,57,52,52,153,166,162,162,162,162,160,160,159,158,157,154,117,105,97,96,93,89,93,89,65,51,46,45,51,51,49,44,145,168,162,163,163,162,161,160,159,159,157,154,104,99,95,95,90,80,77,70,58,44,38,47,55,56,46,50,144,168,162,164,163,162,160,160,159,158,156,154,100,94,90,85,77,67,65,71,68,53,55,62,60,47,60,150,168,164,164,164,163,162,160,159,159,158,157,155,91,82,78,75,74,73,79,86,75,58,50,49,56,73,143,169,163,164,164,163,163,162,160,159,159,158,157,155,87,84,83,78,75,75,78,75,56,53,92,121,143,162,165,160,163,162,162,162,161,160,159,158,157,157,155,154,82,82,80,75,68,64,61,60,81,133,162,164,163,160,160,162,163,162,162,161,161,160,159,158,158,156,154,153,57,59,69,69,69,76,101,134,156,159,155,157,159,160,161,163,163,163,162,162,161,160,159,159,157,155,155,152,21,25,126,127,135,145,152,153,152,154,156,159,159,159,160,161,161,160,160,160,160,159,159,158,155,154,153,151,4,37,137,136,143,144,145,149,152,155,156,159,161,162,162,162,162,162,163,162,163,162,160,160,158,157,157,154,0,63,151,137,139,140,141,141,142,143,141,141,142,142,142,139,137,137,136,133,130,128,126,124,121,117,113,89
18,134,136,139,141,144,149,155,158,161,165,169,170,172,176,176,178,181,180,182,183,183,184,185,186,184,184,184,183,135,138,139,142,146,150,155,159,164,167,169,171,173,175,176,179,182,182,184,185,186,187,187,185,185,186,184,185,135,139,141,142,145,153,158,162,166,168,171,174,175,178,179,182,183,183,185,185,187,187,186,190,188,188,186,185,135,140,141,143,147,152,159,164,167,169,172,175,176,179,180,183,184,184,184,187,186,189,187,137,189,187,187,187,137,140,143,145,150,152,158,165,168,170,173,176,178,181,183,184,184,184,187,188,184,209,191,88,119,206,193,187,140,142,143,145,151,156,161,165,169,172,176,178,179,182,184,184,184,186,189,197,174,199,197,120,80,131,174,196,140,143,145,147,152,158,163,167,170,174,177,179,180,185,188,185,192,163,130,161,170,164,214,172,129,82,76,131,141,144,146,148,153,159,163,168,171,173,176,179,181,182,164,190,207,153,135,75,142,165,213,188,140,128,124,78,141,144,146,148,153,158,164,168,174,176,178,174,191,193,139,103,186,169,149,85,113,164,176,183,163,143,125,101,142,145,148,150,155,159,165,170,174,178,178,182,212,196,171,88,148,194,142,98,68,153,119,114,162,157,125,109,143,145,149,153,157,161,166,172,176,179,176,216,230,202,177,116,109,194,144,106,48,109,99,52,195,187,143,117,145,149,149,152,158,163,168,173,178,180,184,216,228,212,176,128,79,178,136,93,36,48,71,52,181,203,157,114,145,149,150,153,159,164,169,174,179,174,199,233,213,189,179,124,63,126,105,73,42,19,33,19,171,197,166,116,145,149,151,154,160,165,170,175,179,180,226,223,203,157,131,89,56,91,82,71,20,14,97,85,191,205,154,115,147,150,151,155,161,166,171,177,173,201,236,190,178,152,73,63,57,86,97,58,54,171,201,155,151,180,132,106,149,151,152,156,162,169,173,178,176,196,252,220,168,121,86,89,52,120,136,118,203,209,187,163,105,149,116,102,150,151,153,157,163,170,174,179,180,193,250,227,188,122,112,111,54,130,169,213,217,185,157,165,111,115,122,97,149,153,154,159,164,171,176,182,178,204,251,229,199,164,142,143,109,125,231,222,192,167,145,155,146,97,117,82,150,154,154,159,165,170,176,183,179,214,249,222,177,164,134,118,145,230,227,199,178,166,159,154,152,104,92,69,152,154,155,160,166,172,176,183,179,220,248,212,179,165,136,132,194,238,217,188,180,178,147,149,141,99,69,47,153,156,156,161,168,174,178,182,180,224,240,211,180,185,141,181,201,218,205,177,181,160,126,148,126,84,59,22,154,157,157,163,168,173,178,184,182,224,235,215,204,189,149,167,194,189,189,165,164,139,132,144,101,71,31,87,154,156,158,162,169,175,179,185,184,219,230,211,212,176,144,136,173,170,171,161,152,133,131,105,74,47,43,197,153,156,158,163,169,176,181,186,184,219,232,218,208,161,115,145,157,168,171,157,147,124,102,66,56,21,152,223,154,157,158,165,170,176,180,187,187,212,225,218,179,129,119,156,155,171,172,157,131,112,82,65,29,86,225,209,156,156,157,164,170,176,179,186,187,215,210,196,178,167,163,159,154,177,166,142,109,96,76,45,33,197,218,210,156,156,159,164,170,181,189,185,192,233,226,219,214,199,180,156,144,171,155,126,97,79,60,30,166,224,210,214,156,158,162,166,177,154,139,179,202,237,225,226,212,192,165,156,141,159,144,116,91,72,33,122,233,211,215,216
18,176,176,176,177,177,178,179,179,179,178,179,179,179,178,177,177,178,178,179,178,177,176,175,174,172,172,170,168,177,177,178,179,178,178,180,180,180,180,179,179,179,178,179,178,179,179,178,178,177,176,175,176,174,172,171,172,179,179,180,180,180,181,180,180,179,180,180,179,180,180,180,179,180,181,179,181,177,176,175,176,175,173,172,172,180,180,181,181,182,183,182,181,180,179,181,181,181,180,180,181,180,187,174,170,181,178,177,177,175,174,174,173,181,181,183,183,182,183,183,184,182,181,182,182,179,182,183,182,180,205,175,139,167,181,179,178,178,177,175,173,183,184,184,184,184,184,183,184,184,184,185,182,197,198,169,178,206,215,195,152,154,177,176,179,178,176,175,176,184,184,185,184,184,185,185,186,183,185,184,197,222,200,165,148,191,206,210,198,199,187,146,146,179,175,176,178,185,185,185,185,186,186,188,184,190,209,178,193,221,193,171,141,188,187,211,210,209,196,147,104,162,181,177,178,186,186,186,187,187,186,183,190,222,215,174,150,215,189,164,146,201,176,177,204,214,191,141,97,133,185,178,178,186,185,186,187,185,188,183,219,228,215,180,150,215,196,162,146,204,188,147,207,224,194,133,94,121,188,180,180,188,188,187,188,189,184,203,227,225,219,185,146,212,203,164,150,210,185,155,222,227,192,129,87,135,191,179,180,189,191,190,191,189,190,226,210,215,225,192,149,205,199,162,139,189,169,154,225,222,183,123,85,163,188,181,182,190,191,190,192,189,212,225,204,202,208,186,142,174,183,157,113,137,130,176,228,209,168,116,101,187,184,184,183,191,191,191,189,199,228,210,177,182,176,145,110,138,159,125,76,150,185,210,221,197,158,106,142,193,184,185,184,193,193,195,191,203,228,213,178,160,157,124,90,154,156,101,162,222,220,205,192,183,146,106,177,191,186,185,185,193,195,196,189,213,228,213,190,151,142,126,82,169,144,181,228,222,213,188,167,167,129,104,186,189,190,187,186,193,194,197,193,222,228,214,196,173,146,135,125,119,179,228,224,222,207,174,150,144,106,133,199,188,190,188,188,195,196,196,198,228,227,219,202,186,159,147,147,173,228,227,226,216,191,157,136,129,88,158,199,190,191,190,189,197,197,195,202,228,228,223,211,199,171,166,185,220,228,225,222,209,175,143,128,104,111,191,194,192,191,191,190,197,198,195,202,228,228,226,217,207,189,180,201,224,225,218,210,200,164,133,120,89,166,201,192,193,192,192,191,196,197,195,200,228,227,228,222,209,193,187,196,223,219,208,206,175,154,122,98,110,198,195,194,192,193,193,190,196,197,196,199,228,227,228,219,205,192,190,193,214,206,194,195,163,135,108,82,159,201,193,195,193,194,193,193,197,198,197,199,227,228,223,212,197,186,187,192,203,191,183,182,160,117,91,99,195,195,194,194,196,193,193,200,196,199,196,200,228,213,203,200,187,178,180,185,201,185,174,166,137,100,70,152,205,195,196,195,194,193,194,156,200,200,200,209,228,213,205,202,191,190,181,184,207,174,153,138,109,68,101,200,197,197,195,196,200,204,148,90,154,147,134,174,220,214,212,205,205,210,179,182,201,154,128,110,74,72,188,200,197,197,201,197,175,140,99,89,111,110,103,108,114,114,118,121,128,145,133,149,157,127,106,86,53,159,209,205,204,204,172,123,99,85,80,73,129,100,100,103,96,91,85,79,68,64,64,67,68,61,57,56,49,78,98,123,168,167,90,92,95,89,82,72
1,169,171,175,177,179,180,180,182,183,183,184,183,184,186,184,184,184,184,184,185,185,185,185,184,184,184,183,182,172,175,177,180,182,183,184,185,185,186,186,190,180,175,188,185,187,187,187,186,187,187,187,187,186,185,185,185,175,178,180,182,184,185,186,186,187,189,183,199,186,132,193,194,190,190,189,189,190,190,190,190,189,188,187,187,178,180,182,185,187,188,188,189,188,204,188,161,197,122,168,175,194,193,192,192,193,192,193,192,192,191,191,190,179,183,184,188,190,191,191,194,190,211,189,143,197,124,132,138,168,201,194,194,195,195,195,194,193,194,193,192,181,184,187,190,192,192,193,196,193,212,195,145,200,146,135,157,135,205,195,196,197,197,198,196,195,195,195,194,183,186,191,192,193,196,196,200,190,204,212,144,195,169,129,167,125,190,201,199,199,199,199,199,198,198,196,196,186,189,192,194,195,198,197,206,199,151,218,152,174,179,133,179,146,168,208,200,201,202,202,201,201,200,199,197,189,192,194,197,198,201,198,212,202,131,212,162,155,186,145,190,179,146,206,202,203,204,202,202,202,201,201,199,192,194,196,198,200,203,200,212,205,136,207,171,157,202,163,167,199,141,189,211,206,206,205,204,204,203,202,201,193,195,197,199,201,204,202,214,215,143,207,200,154,205,173,149,211,163,164,215,206,208,208,207,206,205,204,203,194,197,199,200,203,205,204,216,216,142,196,211,145,175,177,137,214,186,148,210,210,210,209,208,208,207,206,206,196,199,201,203,206,208,205,215,217,160,163,206,122,156,188,126,196,197,144,195,216,210,211,210,210,210,208,207,199,200,202,206,207,208,208,216,224,176,132,200,170,176,181,186,202,169,146,172,221,211,212,212,211,211,209,208,199,201,204,207,208,210,210,217,225,164,139,185,215,181,168,216,197,157,157,137,215,214,214,213,212,211,211,209,199,202,204,207,209,212,211,217,220,187,198,159,190,184,187,222,178,155,164,130,186,222,215,214,213,213,212,212,200,203,205,207,210,213,212,218,223,205,198,158,161,198,226,218,204,178,146,131,154,224,216,217,215,214,214,213,200,204,207,209,211,213,212,223,224,188,181,161,180,220,222,187,198,216,191,147,127,220,219,218,217,216,216,215,201,204,208,211,212,214,212,225,232,183,166,177,199,184,170,138,184,234,221,191,139,198,224,218,219,218,218,216,201,204,208,209,213,213,213,223,242,198,162,165,153,151,146,192,208,216,217,187,151,160,229,219,220,219,218,216,201,204,206,208,212,213,212,217,240,217,161,170,176,193,221,236,229,215,203,176,131,156,229,218,220,219,219,218,201,205,207,208,212,213,213,216,236,235,177,176,188,195,235,236,232,215,193,171,122,162,229,217,219,220,219,217,202,206,207,210,212,213,215,214,233,246,200,181,198,187,230,244,237,215,186,163,119,175,229,219,221,220,219,218,203,205,207,209,212,213,214,214,226,244,217,189,215,181,219,246,236,209,177,153,118,187,229,220,222,220,219,219,203,206,207,209,211,213,215,216,218,235,227,203,221,186,200,244,226,199,173,146,116,193,229,220,223,221,219,218,203,208,211,213,216,218,219,222,220,228,232,219,212,196,177,234,223,196,166,140,115,206,231,224,222,221,222,221,144,147,151,156,159,162,164,168,165,194,239,226,205,192,167,205,216,184,154,133,125,205,213,216,224,227,222,219,127,125,126,127,127,127,129,131,122,152,233,213,196,183,163,180,200,172,145,131,130,139,172,219,215,212,228,218
5,114,118,122,126,130,133,136,138,139,141,143,143,144,144,144,143,143,144,144,142,143,141,140,139,137,137,136,135,115,121,125,128,133,135,138,141,141,143,145,146,145,146,146,145,145,144,145,146,144,144,142,141,140,139,139,138,118,123,128,132,136,137,140,143,143,145,147,147,150,148,149,148,146,156,92,128,150,145,145,144,143,143,139,138,120,126,130,133,136,138,141,145,146,145,156,136,98,155,150,148,161,146,64,124,154,148,147,145,145,145,142,140,123,128,132,136,139,141,143,146,150,146,166,126,68,156,153,153,171,95,81,157,151,151,150,149,147,146,145,144,124,129,133,137,142,142,149,150,152,147,182,96,90,165,152,168,139,56,127,160,152,153,152,152,151,149,147,146,125,130,135,139,141,154,119,141,154,159,183,63,121,166,159,166,95,81,163,157,155,155,155,154,153,151,150,150,128,133,137,142,141,167,100,104,159,175,165,57,145,165,162,130,66,137,167,159,159,157,158,157,156,154,154,154,129,135,138,143,144,164,130,77,163,178,122,70,160,158,151,75,91,170,162,162,161,160,160,160,158,157,156,156,131,135,140,145,146,158,155,69,156,165,76,88,169,144,138,61,132,173,164,164,163,163,163,161,160,161,160,158,132,138,142,147,151,153,176,97,124,165,85,90,158,134,119,70,153,171,166,169,169,166,164,163,162,161,162,161,134,139,144,149,153,152,177,136,86,158,98,79,114,121,89,85,173,170,166,150,155,167,171,165,163,163,163,163,135,141,146,149,154,156,168,170,111,98,99,80,89,111,71,102,177,158,158,162,152,143,143,170,166,166,165,164,137,142,149,153,157,160,160,171,156,103,89,95,89,95,69,95,138,153,142,143,155,157,113,142,174,167,167,166,138,144,149,154,156,161,163,163,180,157,108,91,75,76,66,91,104,112,93,80,119,133,141,98,144,173,168,168,139,144,148,153,157,162,167,164,194,195,129,88,72,67,63,83,91,69,99,154,178,168,145,140,102,169,170,169,141,145,152,155,160,162,167,165,181,211,145,87,69,66,65,76,74,98,181,180,176,168,157,112,129,179,170,172,141,147,153,157,160,162,168,168,172,211,144,91,71,65,61,78,59,127,193,175,177,151,131,79,156,179,173,175,142,148,153,158,162,165,169,168,169,197,138,95,73,61,60,80,81,93,148,184,169,146,107,72,158,180,174,175,145,149,154,159,162,165,169,169,166,201,141,97,80,63,62,76,88,104,105,111,146,145,90,97,177,178,177,176,143,149,154,160,162,165,170,170,170,199,139,109,90,66,59,79,95,112,123,95,130,129,87,144,185,178,178,177,144,151,156,160,164,168,171,169,172,189,142,117,92,70,59,87,111,120,125,101,99,111,104,181,179,179,179,178,145,151,157,161,165,168,173,170,170,188,145,119,91,73,60,90,114,117,113,94,84,86,146,188,179,180,178,178,146,152,158,162,166,168,174,171,173,182,141,114,93,78,69,86,104,104,101,86,91,147,185,183,183,182,180,181,148,153,159,163,167,170,173,170,187,184,135,111,99,79,76,87,100,100,90,90,165,191,183,183,183,183,183,182,148,154,159,164,168,169,175,167,194,194,149,118,94,81,77,85,91,85,85,147,191,183,184,183,183,183,183,182,148,155,160,163,168,169,176,169,192,183,145,103,78,82,83,85,86,100,161,189,185,186,186,185,185,184,183,182,149,155,159,163,168,170,175,175,191,179,149,103,78,82,82,80,101,176,195,186,186,186,186,186,185,185,184,183
2,179,180,180,181,181,181,180,179,179,177,176,176,175,174,173,174,173,170,169,169,168,166,166,163,162,160,159,159,181,182,182,181,182,182,181,181,180,180,179,178,177,176,174,175,175,172,172,172,170,167,166,165,164,161,160,158,182,182,183,183,182,182,182,182,181,180,180,180,179,178,175,176,176,176,175,173,172,169,167,166,165,164,161,158,184,184,184,184,183,184,184,183,182,182,182,180,177,174,174,172,171,175,176,175,174,171,169,167,165,164,163,160,186,186,186,185,185,185,185,184,183,184,183,190,184,170,171,167,151,153,156,159,162,167,170,170,166,165,164,162,187,188,187,187,187,186,186,186,186,183,192,213,206,200,200,198,181,156,131,118,117,148,160,164,168,166,165,164,188,188,187,187,187,187,188,187,187,179,182,194,188,181,183,189,183,177,155,121,125,148,125,135,171,167,165,165,188,189,189,189,188,188,189,186,191,201,193,196,199,187,170,158,137,146,163,156,169,134,100,149,173,168,166,165,190,191,191,190,190,190,189,192,214,203,193,193,196,192,183,177,148,151,154,134,139,115,131,174,172,170,169,166,191,192,192,192,192,191,191,212,200,162,148,160,171,162,160,187,155,143,152,107,125,143,171,176,173,170,170,168,192,192,193,193,192,192,208,210,174,174,187,190,189,173,170,178,129,107,124,135,177,179,179,178,175,172,170,170,193,192,194,193,194,196,216,194,192,208,210,187,162,148,132,129,142,170,174,181,183,183,172,153,144,162,173,171,193,193,194,194,194,202,206,205,202,187,163,139,109,93,77,118,190,187,187,184,183,151,108,92,91,102,162,173,194,194,195,194,194,204,209,213,182,140,110,88,80,74,65,78,183,188,186,188,143,90,93,101,103,87,148,175,194,194,195,193,192,211,220,193,152,112,85,73,72,70,69,62,117,193,193,165,93,96,107,111,106,113,166,173,194,195,196,192,189,225,214,165,119,96,80,70,72,72,72,71,68,121,169,121,89,111,112,104,129,164,175,173,195,195,196,192,198,229,193,142,108,97,76,68,73,72,72,75,76,65,72,94,98,109,103,127,175,178,174,173,196,196,197,190,199,212,171,128,106,89,69,72,75,81,82,85,89,85,69,95,103,100,105,168,181,178,175,173,195,196,195,190,196,203,165,125,100,82,70,74,81,89,91,97,100,102,86,98,104,99,132,184,181,179,177,175,193,194,195,184,199,204,164,126,100,86,71,75,85,97,102,106,111,114,102,94,106,100,159,184,180,179,176,174,194,195,197,177,199,198,161,129,106,93,79,76,89,105,115,118,121,119,109,96,103,140,180,181,179,176,173,174,195,196,199,179,198,192,157,130,109,99,89,77,94,110,117,120,123,117,104,104,151,181,182,180,178,178,196,211,194,196,198,179,193,189,160,133,114,106,95,80,94,111,116,117,116,111,99,139,187,183,182,182,198,203,229,232,195,196,198,180,190,184,155,132,120,110,97,83,98,106,109,109,107,101,121,177,186,183,181,222,248,221,210,234,196,198,199,183,187,182,151,133,118,108,99,89,101,100,102,103,99,122,175,189,188,182,211,247,238,246,212,210,167,168,171,161,185,180,151,131,113,106,101,97,100,100,98,101,123,161,172,170,165,206,242,245,234,226,240,199,100,100,100,114,195,176,147,123,111,108,106,100,94,100,103,91,94,95,96,90,160,245,244,244,228,214,230,228,98,100,96,141,194,171,146,119,110,108,105,101,94,100,99,91,91,91,85,132,244,243,244,245,222,202,225,229
8,197,200,202,204,206,204,207,208,207,207,208,208,209,207,206,206,204,204,203,203,201,201,200,199,198,198,197,195,199,201,205,200,191,209,208,208,208,208,208,209,209,208,208,207,207,206,204,203,203,203,202,201,200,199,198,197,201,200,211,201,147,201,212,210,209,209,209,210,210,210,209,209,207,206,207,206,205,204,204,202,202,201,200,198,202,202,214,212,138,180,217,211,212,211,211,211,210,210,210,209,208,207,208,207,205,206,205,203,203,202,200,200,202,204,211,225,143,166,221,211,214,212,212,211,212,211,211,209,208,209,209,208,207,206,205,205,204,203,202,202,203,207,209,218,147,154,223,213,216,216,218,212,214,217,214,211,210,211,210,209,208,207,208,207,205,205,203,202,206,209,209,224,181,144,218,217,214,202,202,218,211,194,204,218,216,213,210,211,209,208,208,208,208,207,206,203,207,209,207,226,196,131,206,219,230,209,166,196,227,174,150,205,200,211,215,210,212,211,209,210,209,207,206,205,208,211,210,222,203,149,175,224,243,240,190,146,222,193,188,151,151,152,211,216,212,213,211,211,210,208,206,205,210,212,212,221,227,181,163,214,237,246,215,140,183,198,203,188,174,158,170,211,214,214,213,213,212,209,207,207,212,213,213,216,231,178,173,204,208,236,219,149,151,189,169,213,215,218,186,143,211,214,212,213,212,210,208,207,212,214,216,217,228,212,192,218,206,209,221,149,128,171,124,187,204,217,195,129,200,219,213,213,214,212,210,209,213,215,218,217,238,235,183,185,203,185,220,180,126,149,124,153,202,222,197,131,199,220,213,214,214,214,212,210,214,216,219,217,235,213,166,165,174,159,201,218,144,127,116,162,221,233,202,131,200,222,214,216,215,215,214,211,215,218,220,217,235,233,193,165,157,152,167,179,149,135,111,175,226,233,199,130,201,223,216,217,217,216,215,212,215,218,221,217,239,240,207,173,153,153,149,193,192,151,170,208,221,224,183,122,190,226,217,218,217,217,215,212,216,219,221,219,243,238,211,187,156,139,163,212,211,214,223,214,199,191,159,116,180,229,218,218,218,218,216,213,215,218,222,221,246,238,216,199,176,142,158,205,235,241,231,208,180,158,140,117,207,225,220,219,218,218,216,214,216,220,222,222,247,239,219,202,187,157,156,215,247,241,225,201,165,140,113,154,230,220,221,220,219,218,215,215,219,220,224,223,243,242,226,209,197,168,167,228,243,230,204,183,150,122,115,215,225,222,222,221,221,220,217,216,219,221,226,224,238,245,230,214,207,176,172,233,231,209,184,161,138,104,172,234,222,223,223,221,222,221,219,217,219,221,224,225,234,246,234,218,204,175,176,222,218,198,175,149,122,122,223,225,224,224,222,221,221,221,219,217,218,220,223,223,234,249,232,213,191,161,181,208,191,185,170,143,103,184,233,222,223,224,222,220,220,220,219,217,220,222,226,220,238,245,224,205,179,169,185,195,174,167,164,116,135,231,224,225,225,224,222,221,221,219,217,216,219,222,226,219,248,242,225,208,188,183,188,184,167,160,140,116,211,230,225,225,225,224,223,222,219,218,224,222,219,222,221,228,251,237,226,212,191,193,186,165,159,146,112,180,234,225,226,225,224,224,222,225,228,225,190,141,220,224,216,235,243,219,212,201,189,189,176,150,149,121,140,230,227,228,226,226,228,230,227,209,175,131,91,78,220,223,212,242,238,207,188,181,178,189,170,135,144,107,194,234,227,228,226,219,203,188,154,109,77,66,71,75
1,183,186,191,193,196,197,197,200,201,201,202,201,203,205,202,202,203,202,203,203,204,203,204,202,202,202,201,200,187,190,193,197,200,201,202,203,203,205,205,210,197,191,208,204,206,206,206,205,206,206,206,206,205,204,203,203,190,195,197,200,202,204,204,205,207,208,201,222,206,134,214,215,210,210,209,209,210,210,211,210,209,208,207,206,194,197,200,204,206,208,208,209,207,229,207,173,219,121,181,190,215,214,213,213,214,213,214,213,212,212,211,210,196,201,203,207,210,211,211,215,210,238,209,149,220,124,134,142,181,225,215,216,217,216,217,215,214,216,215,212,199,202,207,210,213,213,215,218,214,239,217,151,223,152,139,166,138,230,217,218,219,220,220,218,217,216,217,216,201,206,211,212,214,218,219,223,211,228,239,149,217,183,130,180,125,210,224,222,223,222,222,222,221,220,219,219,205,209,213,216,217,221,219,231,222,159,246,161,189,195,135,196,153,182,234,224,225,226,226,225,224,223,222,220,209,212,216,219,221,224,221,239,226,133,239,174,165,205,152,210,195,152,231,226,227,228,227,227,226,225,224,222,212,216,218,220,224,227,223,238,229,139,233,185,167,226,175,180,221,146,209,237,231,231,229,229,228,227,226,224,214,217,220,222,225,228,225,242,243,149,233,223,163,229,188,156,237,175,176,243,231,233,233,233,231,230,229,227,216,219,222,224,228,230,228,245,244,147,218,238,151,190,193,140,242,205,155,236,236,236,235,234,234,233,232,231,219,221,224,228,231,234,230,243,245,172,175,231,121,166,207,127,217,219,150,216,244,237,237,237,236,236,234,232,221,224,226,231,233,234,233,244,254,191,134,224,185,192,198,205,226,183,153,187,251,237,239,239,238,237,235,234,222,225,228,232,233,236,236,245,255,176,143,204,244,199,182,244,220,167,167,141,243,242,241,240,239,238,237,236,222,226,229,233,235,239,238,245,250,206,220,170,211,203,206,253,195,165,176,131,205,252,243,242,241,241,239,239,223,227,230,233,236,240,239,247,253,230,220,168,172,220,255,247,229,194,153,133,163,255,245,245,243,242,241,240,223,229,233,235,237,241,239,254,255,208,199,172,197,250,252,207,220,244,211,154,128,249,248,246,245,244,244,243,225,229,233,238,239,241,239,255,255,201,178,194,222,202,184,142,202,255,250,211,143,221,255,247,247,247,246,244,225,229,233,236,240,240,240,253,255,220,174,177,162,159,152,212,233,244,246,206,159,170,255,248,250,248,247,245,225,229,232,234,239,240,240,245,255,246,173,184,192,214,251,255,255,243,228,191,133,166,255,247,249,248,248,246,225,229,232,234,239,241,240,244,255,255,193,192,208,217,255,255,255,243,214,185,121,174,255,246,248,249,248,246,226,231,233,237,239,240,242,242,255,255,223,198,220,206,255,255,255,243,205,175,117,190,255,248,251,250,248,247,227,230,232,236,238,240,242,242,255,255,245,209,243,198,248,255,255,236,194,161,115,206,255,250,252,250,248,249,227,231,232,235,238,240,243,244,246,255,255,227,251,206,224,255,255,222,187,152,113,215,255,250,253,251,248,247,227,234,237,240,244,247,248,252,250,255,255,248,240,219,193,255,253,218,178,144,112,231,255,254,252,251,252,251,149,155,159,166,169,173,176,182,177,215,255,255,230,213,180,229,244,202,163,136,125,230,240,244,254,255,252,249,127,125,126,128,127,128,130,133,122,161,255,240,218,201,175,198,223,187,151,133,132,144,187,248,243,240,255,247
11,139,143,149,154,158,161,165,168,171,172,174,174,176,179,178,178,178,178,178,178,178,178,176,179,147,126,162,198,141,145,150,155,159,163,166,169,171,173,175,174,190,166,177,178,178,178,177,178,178,176,174,179,154,140,164,201,145,149,154,159,162,165,168,172,174,176,177,174,209,148,162,183,178,179,179,178,178,176,175,173,164,200,194,197,148,152,158,163,167,171,174,177,179,180,181,179,221,155,141,188,180,181,180,179,179,178,177,171,188,174,195,198,152,156,162,167,171,176,179,182,184,185,186,185,223,151,133,192,185,184,184,183,183,182,180,180,182,155,204,198,155,160,168,173,176,180,184,187,190,191,192,192,222,144,139,197,189,191,189,189,187,186,185,181,184,199,194,198,158,163,172,179,182,185,189,192,195,197,196,201,228,140,146,204,194,195,194,194,192,190,188,186,187,173,162,200,159,166,176,183,187,191,195,197,200,202,198,220,231,121,161,209,199,199,199,198,197,195,194,191,190,182,182,198,162,170,182,187,191,195,200,203,204,207,202,226,214,120,177,213,204,205,204,203,202,200,198,196,194,190,195,203,165,174,185,191,195,199,203,207,209,208,222,224,145,113,186,216,208,208,207,207,206,204,202,200,198,194,197,213,168,177,188,194,199,203,207,210,210,212,212,215,151,113,194,218,213,212,213,212,211,208,206,204,202,198,198,214,172,180,191,197,201,206,210,215,233,230,139,137,170,125,199,221,216,216,216,215,214,212,210,209,205,203,205,213,174,184,194,200,204,208,213,202,222,218,149,116,164,138,184,227,218,219,220,218,217,215,213,210,210,199,187,217,175,185,196,203,205,212,236,187,126,159,182,129,144,138,165,232,220,222,222,221,221,219,218,215,223,148,122,221,178,188,199,202,215,236,225,202,163,123,167,145,122,144,138,229,224,226,225,222,217,207,192,190,187,115,99,127,180,191,199,215,237,203,163,188,202,140,125,136,114,157,133,214,234,226,220,212,217,199,179,177,158,116,105,96,181,193,200,235,224,169,134,126,191,147,111,129,105,172,169,172,220,218,224,223,214,190,166,147,129,108,101,101,183,194,203,232,206,154,129,98,163,154,114,140,98,139,178,127,184,224,226,202,167,138,105,89,98,94,97,100,184,195,202,223,189,143,123,105,136,162,121,154,118,145,169,158,196,208,183,140,114,95,86,89,89,89,90,99,186,197,202,223,206,161,135,119,118,143,139,162,145,204,181,154,173,157,118,87,94,100,86,85,86,87,95,71,185,197,204,227,211,168,146,126,124,135,174,204,209,206,167,144,141,91,86,89,82,96,96,80,79,85,85,66,185,197,203,228,216,183,158,131,137,146,209,235,223,187,150,132,99,86,74,94,82,81,96,90,76,76,76,78,185,197,204,224,216,191,160,139,147,153,215,222,196,166,142,103,64,94,81,77,92,81,83,91,84,75,76,76,189,201,211,220,211,199,166,153,152,155,199,213,181,150,132,101,61,76,95,75,84,90,79,80,88,76,75,76,161,169,173,185,212,202,172,165,153,155,185,201,175,145,111,93,74,62,92,88,76,84,86,75,80,83,69,75,139,139,134,150,211,198,178,171,153,144,174,177,155,123,74,83,87,56,79,92,83,79,82,78,73,82,72,66,144,145,142,156,215,202,184,170,153,138,155,148,127,90,63,75,95,62,65,90,86,82,79,76,70,73,76,66,143,144,144,148,212,203,177,163,150,140,145,137,88,76,73,68,94,76,55,80,89,80,78,77,74,71,68,70
1,85,88,93,98,111,134,150,156,160,166,174,179,183,187,195,195,197,200,202,203,205,207,208,208,209,211,210,211,85,89,95,100,115,136,152,159,163,171,177,181,187,203,178,199,203,201,202,203,204,206,208,208,208,209,209,209,87,92,96,102,119,140,156,162,168,177,181,182,203,236,135,169,191,204,204,205,206,206,208,208,208,208,209,208,88,92,98,103,122,144,160,167,173,180,195,187,193,245,130,145,152,178,216,209,210,209,210,210,209,210,209,209,89,93,100,105,125,148,164,170,179,181,232,198,151,244,128,150,168,135,223,215,216,216,215,214,213,213,212,211,91,96,101,106,128,152,168,173,184,186,238,206,141,227,128,142,181,113,214,223,222,222,222,221,218,218,217,216,93,96,102,109,134,155,170,176,188,188,243,210,127,219,150,142,189,116,204,234,227,227,228,227,225,224,223,222,93,98,103,113,138,159,174,180,193,199,231,214,118,188,149,145,207,126,192,244,233,235,234,232,230,229,228,226,94,99,103,115,143,164,177,179,211,208,199,215,115,162,148,129,200,125,188,250,238,240,240,238,236,235,233,232,96,100,104,119,147,168,181,179,242,198,185,211,116,181,163,126,225,148,184,255,243,245,244,244,242,241,241,240,96,102,105,121,151,172,184,184,251,177,179,229,126,173,162,127,236,166,177,255,248,250,250,248,247,247,246,244,99,103,105,124,155,176,186,193,254,166,161,229,119,131,147,127,229,170,165,255,252,253,253,252,252,251,250,248,101,106,108,128,158,179,188,201,255,174,129,213,128,132,145,169,207,155,158,255,255,255,255,255,255,254,254,253,101,105,109,132,162,183,192,205,255,188,103,231,220,174,176,196,176,123,145,255,255,255,255,255,255,255,255,255,101,104,109,136,165,187,195,209,255,176,149,196,182,166,171,161,156,154,125,255,255,255,255,255,255,255,255,255,101,104,110,138,168,190,197,217,255,207,194,150,140,167,171,142,168,200,158,195,255,255,255,255,255,255,255,255,102,104,111,142,171,194,198,230,255,217,176,137,155,147,179,196,222,237,219,147,225,255,255,255,255,255,255,255,103,105,114,147,175,198,199,243,255,210,158,134,156,168,217,255,235,237,243,155,131,255,255,255,255,255,255,255,102,105,115,150,179,202,201,248,255,210,151,144,165,184,243,255,255,246,196,129,117,248,255,255,255,255,255,255,103,105,118,155,183,204,206,244,255,221,152,149,173,206,252,255,255,238,174,123,123,255,255,255,255,255,245,181,104,105,121,157,186,207,207,240,255,236,170,149,184,216,255,255,255,223,169,118,140,255,255,255,208,135,81,59,103,105,124,161,189,209,212,238,255,255,195,154,188,214,255,255,246,207,163,112,164,255,255,132,60,56,64,62,102,103,125,163,190,210,214,234,255,255,212,166,183,215,255,255,238,196,153,102,206,255,108,73,75,45,67,65,100,101,126,164,193,209,214,230,252,255,222,184,186,212,255,254,227,183,143,109,155,92,48,66,88,44,43,75,100,101,128,167,197,212,217,232,242,254,231,200,197,194,250,237,215,167,133,107,92,76,69,39,73,67,28,56,92,94,126,168,199,215,220,235,244,249,232,205,200,180,221,220,194,151,124,97,103,83,67,40,43,80,37,34,115,115,137,171,197,212,220,233,246,247,233,212,203,183,186,207,178,140,110,90,103,86,57,47,31,61,59,24,150,152,150,147,152,161,165,170,171,189,244,218,207,186,169,189,167,131,95,84,98,71,69,43,30,42,69,29
13,141,144,149,155,161,165,168,171,173,176,180,182,185,187,188,190,192,193,193,193,194,195,194,194,195,194,193,193,142,145,151,157,163,167,170,173,175,177,181,184,187,189,191,191,192,191,194,195,196,196,196,196,197,195,195,195,143,147,153,160,165,169,172,175,178,180,184,187,188,190,195,206,203,171,158,187,192,197,197,199,199,197,197,196,146,149,155,162,166,171,174,178,181,183,186,189,191,191,197,222,213,161,113,116,145,161,192,199,199,198,199,198,146,151,156,162,168,172,175,179,182,186,187,194,194,164,160,176,207,161,106,90,139,116,138,201,200,200,200,199,148,152,158,163,169,172,176,180,183,186,186,215,211,174,138,135,189,189,126,98,145,110,114,201,202,201,201,200,150,154,159,165,171,175,178,181,188,186,151,181,224,205,160,102,138,199,136,98,155,115,127,205,204,203,202,202,150,154,160,167,173,177,180,184,211,202,151,115,187,221,179,112,78,147,126,98,177,126,152,207,205,205,205,204,151,156,162,169,174,178,181,205,214,216,181,120,119,214,176,115,53,68,80,92,168,124,181,208,206,206,206,206,152,157,165,171,175,179,195,206,180,211,194,133,82,184,164,108,52,51,87,121,138,107,150,209,208,208,208,207,153,160,168,173,177,184,216,204,165,186,173,121,72,154,161,115,55,80,138,151,132,115,113,192,210,209,209,208,156,162,171,176,179,194,215,188,154,168,149,104,56,130,177,129,79,155,180,159,121,103,104,151,213,210,209,209,158,165,174,179,182,209,213,185,148,144,136,100,46,98,177,125,131,197,182,154,120,100,95,134,214,212,211,212,159,167,176,181,183,216,224,198,162,123,124,94,57,97,180,167,194,195,171,141,115,94,84,164,215,213,215,214,162,171,180,185,187,223,229,204,170,127,109,106,132,178,212,215,208,184,156,129,108,85,99,202,215,215,216,215,167,175,183,189,192,230,236,211,174,153,150,153,176,202,215,212,200,173,145,122,98,76,139,218,216,216,216,216,170,178,186,192,197,232,235,221,185,175,169,158,192,200,214,206,187,162,138,114,89,74,175,220,217,218,217,216,173,181,189,195,200,225,232,229,200,187,175,166,201,206,204,193,170,147,124,104,79,103,211,221,220,220,219,218,176,184,193,198,201,215,231,228,210,193,177,172,195,208,193,174,152,134,117,93,85,180,224,222,222,221,222,221,179,187,195,201,204,208,226,223,216,199,186,177,184,201,187,161,140,122,108,89,163,225,225,224,224,224,224,223,182,189,197,202,207,206,220,223,218,210,201,183,178,192,178,149,125,112,95,138,223,228,227,227,227,225,226,224,183,193,201,206,210,206,214,225,216,212,203,181,172,179,165,135,110,102,108,207,231,229,230,230,228,224,198,153,186,196,203,208,211,209,213,216,193,194,193,178,167,169,151,130,107,92,166,232,232,232,232,232,223,156,82,56,188,197,204,209,212,212,214,218,191,199,201,190,167,161,145,131,104,98,206,233,234,235,236,223,145,73,50,36,189,197,204,208,212,211,211,228,203,210,210,194,167,153,144,132,102,108,220,234,236,232,190,121,66,59,58,30,190,198,205,210,213,215,210,232,219,226,218,197,171,153,143,132,99,115,227,234,236,171,84,52,37,54,63,41,192,201,208,212,215,217,193,228,227,226,214,191,172,156,144,130,96,107,225,238,206,101,64,57,33,36,57,53,193,202,209,213,216,214,136,214,224,220,206,187,175,158,147,122,94,81,221,233,135,75,59,56,38,23,47,56
21,171,173,175,176,175,175,176,178,178,178,179,179,176,169,178,177,178,178,176,175,175,174,173,172,170,90,19,11,175,176,177,178,179,179,179,180,181,180,180,183,193,131,169,182,180,180,180,179,179,177,176,177,151,74,30,19,177,179,179,181,182,182,182,182,183,183,183,185,196,122,153,186,183,183,183,173,156,181,179,181,150,52,32,33,180,181,182,183,184,185,185,185,186,185,186,189,199,124,137,191,187,186,190,176,109,180,181,183,156,68,42,52,182,182,185,186,187,187,187,188,188,188,188,190,205,131,127,193,189,187,196,170,102,182,184,184,181,90,43,50,184,185,186,188,188,189,190,190,189,190,190,191,213,148,126,195,192,190,201,163,107,183,187,186,186,127,46,40,185,187,188,190,191,191,192,192,192,192,193,192,218,159,125,193,195,193,206,160,114,186,189,187,189,167,55,31,187,189,191,192,193,193,193,194,194,194,194,192,220,168,128,186,198,195,213,166,119,190,191,190,189,190,81,36,189,192,192,193,194,195,195,195,195,195,197,195,225,184,138,172,200,199,215,166,119,192,193,192,190,193,141,138,191,192,193,195,195,195,196,197,197,197,198,196,223,199,141,166,202,205,220,164,117,196,195,194,192,193,143,184,192,194,195,197,197,198,199,199,199,199,201,190,196,204,138,162,204,213,212,153,125,201,197,195,194,193,163,190,193,194,195,197,199,199,200,200,201,200,219,195,162,175,150,143,204,216,196,142,137,204,198,198,197,196,186,146,194,195,197,198,199,200,200,200,201,201,226,221,190,142,172,102,170,205,185,131,154,206,200,199,199,198,191,138,194,196,197,199,200,200,201,201,202,204,205,226,214,173,180,112,101,157,157,116,174,206,202,200,199,200,196,175,196,197,198,200,201,201,202,202,202,204,182,175,222,183,172,154,118,103,118,96,181,206,202,201,200,200,200,195,196,197,199,201,201,201,203,204,204,202,209,177,196,185,144,180,162,110,89,86,176,209,204,202,202,200,200,199,196,197,198,199,201,201,203,203,206,209,226,187,130,168,132,157,171,127,83,79,175,209,205,203,202,202,200,199,196,198,198,198,200,201,202,202,220,223,210,150,98,112,156,129,164,153,103,75,179,207,204,202,202,201,200,199,196,198,198,199,200,201,202,207,224,195,172,159,117,71,124,97,146,185,129,83,189,208,204,203,202,201,200,199,197,199,200,200,201,203,204,206,221,191,160,170,126,82,66,122,168,205,160,98,158,209,205,204,202,201,200,200,197,199,200,201,201,203,204,205,217,200,177,165,153,106,91,200,194,200,175,126,112,209,206,204,203,201,201,201,200,203,204,205,204,205,207,209,218,216,182,130,155,124,146,226,209,190,164,131,125,210,207,206,204,202,201,201,145,148,153,156,159,164,168,172,219,219,181,125,153,143,196,230,200,181,146,106,137,211,207,207,206,204,201,199,96,96,98,98,97,98,98,100,210,222,178,145,164,157,225,224,195,172,141,100,108,129,128,129,135,147,173,193,102,103,102,102,101,102,103,99,193,219,182,170,180,163,232,223,191,163,127,100,97,100,117,146,172,195,209,217,102,103,102,103,104,103,104,98,158,220,202,196,189,153,216,211,173,147,109,99,168,185,194,206,210,206,208,220,102,102,101,102,103,103,103,103,117,209,211,200,184,149,184,194,150,118,95,107,210,210,187,179,193,202,201,207,101,101,101,102,104,103,103,105,100,192,206,183,161,139,144,168,130,100,90,123,168,182,199,163,160,180,196,206
7,146,147,147,148,148,148,148,148,147,147,147,146,145,145,144,143,143,141,139,139,138,139,126,51,37,26,28,52,149,150,149,150,151,151,150,151,150,150,149,148,147,147,147,146,145,142,141,141,141,138,146,73,27,12,22,40,150,151,152,153,155,153,152,153,152,153,152,151,150,149,148,147,147,144,144,143,142,141,148,100,9,1,20,27,153,154,157,155,156,156,155,154,154,155,154,154,153,152,149,149,149,147,147,145,144,144,143,136,18,0,8,21,154,156,158,157,157,157,157,157,157,157,156,156,155,157,154,152,151,151,149,147,148,144,143,148,97,36,13,35,156,156,158,159,160,158,159,160,160,159,157,156,156,143,141,148,145,138,131,136,125,144,142,142,100,102,116,102,158,160,162,163,163,162,162,162,160,160,159,160,160,137,123,147,154,137,123,126,110,155,138,124,57,125,147,133,161,163,164,165,164,164,165,165,165,171,178,177,164,140,133,140,125,125,107,105,99,97,96,132,84,140,94,116,162,164,165,166,166,162,159,171,182,185,184,173,161,150,150,140,97,96,126,111,106,94,90,94,81,109,80,149,163,167,168,167,185,175,162,165,173,172,167,163,162,162,154,134,114,105,125,122,114,115,98,72,75,113,92,151,165,169,166,182,202,184,170,162,167,170,168,167,165,160,157,131,115,106,96,86,82,80,68,62,53,67,96,139,167,168,168,200,201,185,153,143,155,169,169,165,154,139,126,103,90,80,73,79,85,94,93,100,113,121,146,154,171,169,179,208,197,175,139,141,153,142,135,125,112,103,89,73,69,142,166,156,162,164,161,163,159,160,143,82,173,168,198,205,191,169,157,152,137,126,131,135,129,123,117,126,100,62,146,169,162,160,159,157,155,153,155,89,169,178,211,201,198,194,192,161,136,143,144,142,130,119,116,111,94,29,16,153,168,162,160,160,157,155,156,139,165,197,210,204,203,203,199,156,118,132,131,125,116,110,101,90,71,40,0,121,175,162,162,161,159,156,155,155,183,210,209,205,202,197,184,145,125,111,85,69,80,97,108,115,118,50,29,153,168,164,165,163,161,159,157,154,207,211,209,206,200,190,175,154,134,114,92,92,127,148,133,119,134,76,145,174,165,166,166,164,161,160,157,155,208,210,210,204,192,184,165,140,139,141,117,127,141,127,115,106,100,62,162,174,168,168,167,165,162,161,160,156,209,209,207,201,187,163,137,145,164,151,125,125,121,112,105,96,67,53,172,173,171,169,166,166,165,162,161,158,211,208,203,195,173,157,161,179,176,156,131,102,86,71,57,42,44,127,179,171,174,171,169,167,165,164,161,158,207,200,193,182,174,175,178,172,162,136,104,70,68,84,51,102,156,179,175,175,174,173,170,167,165,164,161,160,199,190,184,181,181,181,163,152,148,127,94,70,152,186,175,186,182,177,177,175,174,173,172,170,166,165,163,162,185,184,185,178,173,172,155,150,139,100,62,153,192,180,183,179,178,179,178,176,174,173,173,171,169,167,164,161,177,173,178,171,161,156,150,134,98,55,139,194,181,183,181,180,180,180,180,177,177,174,173,171,169,166,165,156,176,169,164,152,142,139,126,96,51,125,194,181,182,182,181,180,179,179,177,174,174,174,173,171,168,172,166,144,171,161,147,128,120,110,81,53,127,193,185,185,184,183,181,180,179,179,177,175,174,173,172,168,171,147,140,156,148,134,114,96,85,68,48,130,196,183,186,185,185,184,181,180,179,179,177,176,176,174,172,171,161,47,25,97
23,193,193,193,192,192,194,193,192,191,191,190,188,188,187,186,187,186,185,183,182,181,179,177,176,176,170,84,65,195,194,195,194,194,195,194,194,193,192,193,192,190,189,189,188,187,186,184,183,183,181,180,177,180,165,72,62,195,195,195,196,197,196,196,196,196,195,194,194,193,192,191,190,188,187,187,185,184,183,182,179,187,144,62,61,198,198,198,199,199,199,200,199,198,196,195,195,195,194,194,193,192,189,188,188,187,186,184,180,190,126,55,57,201,200,200,200,201,201,201,201,200,199,198,197,189,191,192,190,186,193,191,189,189,187,185,182,187,104,55,51,202,202,202,202,202,201,202,201,200,200,200,189,162,157,168,167,156,141,186,192,188,188,187,185,183,85,55,46,203,203,204,204,204,204,202,203,202,202,196,178,183,164,162,171,168,118,131,202,189,189,189,187,190,101,54,47,205,205,205,205,205,206,205,204,204,203,195,183,169,137,119,145,137,137,97,163,201,190,189,187,193,126,60,50,206,205,206,206,206,207,207,205,205,202,197,179,154,111,141,155,159,135,125,100,175,197,190,188,191,149,116,54,207,206,207,207,207,207,207,206,206,198,194,164,156,113,200,207,206,177,136,106,154,201,192,191,191,166,143,88,208,207,207,207,207,208,209,208,206,192,186,152,149,143,210,203,203,208,196,182,196,196,194,192,193,175,129,163,208,208,208,208,210,210,209,211,202,190,180,145,137,171,194,182,180,167,175,205,199,196,195,193,194,178,153,157,209,210,210,211,211,211,210,210,189,182,172,158,161,170,174,175,176,159,112,192,196,197,196,194,195,186,171,168,211,212,212,211,211,211,212,191,167,167,173,181,188,195,194,186,173,151,110,181,185,168,196,195,193,194,181,143,212,213,212,211,211,213,205,189,176,170,171,173,181,177,167,160,151,151,119,159,195,150,170,202,195,193,193,157,213,213,213,212,212,214,204,188,178,167,161,167,172,174,178,173,159,149,125,101,162,132,149,206,195,195,194,189,214,214,215,214,213,216,198,192,195,173,166,166,171,177,171,169,167,117,97,73,110,90,145,208,196,196,194,193,215,216,217,218,215,219,193,191,192,168,162,169,176,178,173,170,157,107,79,68,74,98,193,200,198,197,195,193,216,217,218,217,216,220,194,177,190,183,183,184,180,179,169,158,127,93,81,75,82,185,207,199,199,198,196,194,216,217,217,217,216,219,192,173,198,192,186,182,158,146,133,107,103,96,82,72,162,212,200,200,200,198,196,193,217,217,216,217,217,220,191,176,193,184,177,168,144,111,80,84,104,90,75,100,205,201,201,199,198,195,195,196,218,218,218,218,217,221,191,177,184,177,176,170,145,101,73,87,84,82,75,140,214,200,201,198,197,200,195,178,218,218,218,218,218,221,189,178,180,176,179,178,137,87,69,71,76,88,80,176,211,202,200,205,204,171,137,146,217,218,218,218,217,221,189,176,178,186,189,169,122,94,77,80,92,89,99,206,204,208,206,167,132,95,140,152,223,224,225,225,223,228,188,171,180,192,185,154,119,100,82,84,98,79,147,222,206,181,131,81,77,78,146,162,174,178,180,183,188,194,171,171,186,192,180,146,114,102,85,84,86,97,201,181,128,89,74,76,74,68,128,172,120,120,118,118,120,118,150,177,184,186,171,140,112,100,84,81,84,102,118,88,69,82,72,74,66,66,92,172,134,134,135,134,131,129,162,177,179,174,155,130,105,94,81,77,86,83,85,73,67,83,69,68,67,67,65,129
5,54,61,68,76,84,91,97,101,103,108,113,115,118,123,125,125,140,114,117,140,138,140,141,141,141,143,143,142,55,62,69,78,85,92,99,102,105,110,112,119,123,124,128,127,162,92,85,146,139,142,142,142,143,144,145,144,56,63,71,79,87,95,100,104,108,109,122,113,122,129,125,146,152,54,103,147,140,143,145,145,147,147,147,147,57,65,73,81,90,95,102,107,109,111,161,82,98,138,124,172,109,41,132,147,142,146,147,147,147,147,148,148,60,67,73,83,91,94,105,109,106,129,151,57,106,136,142,179,76,66,152,145,146,150,150,149,149,150,150,150,60,69,75,81,101,118,86,113,101,158,111,45,128,130,176,141,57,106,156,147,150,151,151,151,151,153,153,152,62,69,76,78,119,135,55,112,110,174,93,65,133,151,168,78,61,143,150,149,149,151,150,156,154,154,154,154,63,69,78,78,124,155,53,108,125,147,69,91,137,174,142,55,87,158,145,153,177,161,107,148,159,156,156,156,64,69,79,83,118,195,75,89,141,125,62,112,145,182,131,67,122,156,161,177,167,180,110,134,164,157,159,158,64,70,80,90,101,203,153,104,129,135,90,109,163,165,105,74,141,162,192,142,126,181,79,144,163,160,161,160,65,71,81,93,89,184,215,179,133,119,96,98,152,130,88,100,165,181,138,72,123,172,59,137,170,162,162,163,68,72,83,93,97,122,201,211,166,107,79,73,92,89,95,140,174,166,111,53,147,165,60,100,176,163,164,164,65,72,85,94,105,102,139,218,171,119,73,59,62,65,92,147,133,118,77,87,172,145,75,68,170,166,167,168,66,73,86,95,105,114,106,207,184,128,95,65,60,59,78,112,112,76,58,150,181,163,90,71,168,168,169,168,67,75,86,96,106,113,107,203,198,141,118,79,56,57,67,89,91,48,117,172,180,171,100,81,174,170,171,171,68,77,88,98,108,114,111,210,207,158,135,91,57,57,63,89,109,116,149,148,178,168,95,86,177,171,172,173,68,76,89,100,107,116,111,205,212,172,139,89,56,51,70,114,146,157,152,120,129,164,89,98,182,172,173,174,68,78,90,100,107,118,110,199,221,175,140,98,62,48,90,145,154,150,142,111,90,107,71,107,184,172,175,177,69,79,92,103,108,119,108,180,219,174,151,113,73,74,106,139,145,137,124,96,73,72,54,126,183,173,177,178,69,81,94,104,110,118,109,163,216,180,155,120,79,78,120,128,131,110,105,83,68,57,104,173,178,178,180,180,70,82,93,103,112,120,110,165,223,183,140,107,80,63,100,107,107,86,83,71,59,116,179,177,180,180,179,180,71,82,94,104,112,123,109,171,218,160,117,86,71,66,82,93,88,72,67,62,133,183,175,178,181,181,181,181,70,83,96,105,113,124,108,180,208,151,112,79,79,82,75,83,72,62,56,134,184,175,178,179,181,181,182,181,70,84,96,106,116,117,136,188,195,163,124,81,89,93,70,69,60,50,128,182,175,180,181,182,183,182,183,182,72,84,96,108,110,140,209,207,174,140,115,90,90,83,61,57,37,107,182,174,178,182,182,183,183,183,183,184,72,83,97,103,123,196,210,211,195,164,102,78,77,72,58,49,47,166,178,175,180,183,184,183,183,185,184,185,71,83,96,102,184,202,204,191,179,176,154,112,73,57,48,34,68,182,173,177,180,182,184,184,185,185,185,185,71,85,88,148,205,193,194,175,170,154,154,145,99,65,58,46,46,146,175,175,178,181,181,183,184,184,184,185
7,191,193,195,197,199,199,201,201,201,202,201,201,202,201,201,200,200,198,199,198,196,195,196,194,192,193,192,190,193,195,196,199,201,202,203,203,202,203,202,203,201,201,201,201,201,199,200,199,198,197,196,195,194,193,193,191,193,195,198,201,201,203,204,204,205,205,204,204,203,203,202,203,203,201,201,199,199,199,198,196,196,195,194,192,196,197,199,201,203,204,205,205,206,206,206,205,205,205,205,204,202,202,202,201,201,200,199,198,197,196,195,194,197,199,201,202,204,204,205,206,206,206,206,206,206,205,205,206,205,205,203,202,201,201,201,199,198,197,197,195,197,201,202,203,204,205,206,206,206,206,207,207,206,206,205,205,207,206,205,205,205,202,199,201,199,199,198,195,199,201,203,206,206,206,207,208,208,208,208,208,209,209,209,208,206,203,199,195,178,187,201,188,202,200,199,197,201,201,203,206,207,208,209,212,212,213,210,205,202,195,188,186,187,178,172,173,154,189,208,163,197,199,202,199,201,202,205,205,207,210,208,200,192,194,192,185,173,159,152,166,182,178,165,158,149,154,168,149,195,199,186,201,202,204,205,207,210,203,192,174,167,166,164,170,166,161,148,144,150,136,141,147,144,143,155,164,210,209,146,198,203,206,206,207,205,196,182,172,172,165,154,156,164,160,140,136,131,155,173,188,169,167,165,165,168,162,153,204,203,205,203,197,188,185,184,181,169,137,133,153,172,168,156,153,143,158,172,175,159,146,133,128,135,164,199,205,202,198,193,188,186,185,179,181,167,124,127,139,146,143,141,145,135,131,141,128,125,128,154,183,202,210,205,204,196,193,190,190,190,179,171,171,170,150,119,104,96,95,97,108,109,118,136,159,184,203,214,212,208,205,206,205,194,192,189,185,179,174,173,172,176,168,131,100,80,105,153,158,175,192,213,220,216,212,209,208,207,207,207,205,192,187,181,176,172,169,167,167,165,149,129,106,95,107,202,229,220,219,215,211,211,211,210,210,209,208,207,206,189,180,175,168,164,160,156,152,150,142,119,97,100,98,94,199,221,214,215,213,213,212,212,211,210,209,209,208,179,181,168,165,156,155,152,148,147,144,121,93,95,114,90,125,228,215,216,215,215,213,212,212,210,210,210,209,97,153,171,165,159,154,152,153,155,153,123,92,88,107,103,123,225,218,218,217,216,215,214,213,211,210,211,209,69,77,145,172,163,158,150,144,143,133,114,99,94,86,79,150,230,218,219,217,216,216,216,214,212,211,211,210,73,65,75,151,169,160,152,141,129,119,109,106,103,89,83,103,217,222,219,218,217,217,215,214,213,212,211,211,68,69,59,86,153,147,139,131,124,113,106,105,105,95,83,108,219,221,220,219,218,217,217,215,214,213,212,211,66,62,64,60,99,128,118,106,104,83,85,102,96,107,164,196,226,219,219,219,218,217,217,216,215,214,212,212,60,59,62,63,53,63,102,145,80,73,82,91,104,197,237,225,223,222,221,219,220,218,217,217,216,215,213,213,53,56,60,67,43,61,197,202,72,80,90,132,205,230,222,223,223,223,222,219,221,219,217,217,217,216,215,213,54,52,67,57,74,204,233,223,172,166,197,228,229,223,225,224,223,223,223,220,218,219,218,218,218,216,216,212,79,65,55,82,213,227,220,224,231,232,230,223,222,224,223,224,223,223,222,219,219,218,218,217,216,216,214,212,65,62,45,146,234,217,224,223,222,223,223,224,223,224,224,223,224,223,222,220,219,218,218,218,216,216,214,212
8,172,172,173,176,177,177,176,175,175,174,174,173,173,172,172,170,169,169,168,166,165,165,164,163,161,159,158,157,175,174,176,177,177,177,177,177,177,176,175,175,176,173,172,171,170,170,170,168,167,167,166,164,162,160,159,159,177,177,177,179,178,178,177,177,178,178,177,171,165,175,173,173,172,173,172,170,168,167,166,165,164,161,161,160,177,177,179,180,180,181,180,178,178,177,181,168,114,167,179,175,175,174,172,170,170,169,168,167,166,164,162,161,178,179,180,181,182,181,181,181,181,177,188,154,91,161,181,177,177,174,173,173,172,171,170,170,168,166,163,162,180,181,181,183,184,182,182,183,183,180,192,130,90,175,180,178,177,175,174,174,173,172,172,171,169,167,165,164,181,183,183,185,186,185,184,185,183,188,195,122,102,186,178,179,177,177,176,175,174,174,172,171,170,168,167,166,182,184,184,184,185,186,186,186,181,196,190,114,117,189,178,182,183,176,177,176,175,174,173,172,171,169,168,166,183,185,185,185,186,186,187,186,182,199,177,99,128,191,183,160,159,186,179,176,175,174,173,173,171,169,169,166,184,185,186,187,188,187,187,188,184,205,174,127,144,188,193,163,118,151,176,183,177,175,174,174,173,170,169,168,186,187,187,187,188,189,189,189,187,207,174,154,155,183,185,189,155,118,121,134,180,181,181,177,174,172,171,169,187,188,188,189,190,190,191,190,189,201,181,163,169,199,163,195,180,171,153,87,102,137,130,174,176,172,172,171,188,189,189,189,190,192,192,188,199,197,165,173,186,188,156,144,178,166,152,107,52,62,58,103,185,172,173,171,188,190,191,191,192,192,192,192,198,176,163,167,175,175,144,91,120,187,154,117,60,49,59,63,173,177,174,172,189,191,193,192,193,194,191,202,196,156,143,145,168,162,116,75,57,197,168,123,63,64,69,68,177,177,175,174,190,192,193,193,194,194,192,215,203,173,135,107,159,146,97,72,82,194,178,126,66,54,47,122,188,176,176,174,192,193,193,194,196,192,203,222,197,170,142,114,150,174,155,176,180,168,163,124,79,33,84,184,178,178,177,175,192,195,196,195,197,193,214,215,186,173,147,134,111,188,205,178,182,151,132,125,82,65,177,186,180,180,179,178,193,196,196,197,197,198,220,206,186,176,134,119,162,202,190,156,171,154,107,120,65,127,197,182,183,182,180,177,194,196,197,198,195,203,223,203,188,171,132,159,206,197,180,155,151,149,93,94,52,164,191,184,184,182,180,178,196,196,198,197,200,207,220,206,190,168,149,189,199,189,170,144,137,131,89,62,77,195,186,186,185,182,182,181,197,198,198,202,179,207,219,205,183,164,152,181,181,170,157,132,133,107,74,41,133,199,186,186,186,184,182,180,196,196,203,185,71,113,193,189,161,149,154,159,173,158,142,127,112,80,53,55,185,190,189,187,185,184,183,181,197,198,204,103,65,58,83,158,169,158,154,153,173,152,128,106,76,63,34,128,199,188,190,187,186,185,184,183,195,210,149,61,66,65,57,64,123,153,143,151,162,127,99,80,68,41,84,198,190,191,190,187,186,185,184,183,205,185,78,64,62,58,62,44,27,61,74,113,135,96,67,63,40,68,187,196,192,192,190,189,187,186,185,184,201,107,58,64,59,54,56,60,18,33,34,34,48,55,48,35,91,188,197,192,192,192,190,189,186,185,184,183,133,57,63,60,56,50,53,58,16,23,36,28,20,22,13,72,205,194,192,192,190,191,190,187,186,184,182,181
19,161,163,164,165,167,167,167,167,167,167,167,168,167,167,167,166,166,165,165,164,164,164,163,162,161,160,160,161,162,162,164,165,166,167,168,168,168,167,168,168,167,168,168,167,167,166,166,166,165,163,163,164,162,161,162,160,163,163,164,165,166,168,170,169,169,169,169,168,168,168,169,168,167,167,167,167,166,164,165,165,164,163,163,162,163,164,166,167,167,168,169,169,169,170,170,169,168,169,169,169,168,168,167,167,167,166,166,164,164,163,163,162,164,165,166,167,168,169,169,171,171,169,169,171,172,168,170,169,169,169,167,167,168,168,167,165,164,163,163,162,164,168,167,168,171,172,172,171,173,175,159,141,159,174,170,171,170,170,168,168,168,168,168,167,165,165,164,163,166,168,169,170,171,172,172,172,172,198,180,152,116,159,176,171,172,170,169,169,169,169,169,167,166,166,165,164,167,167,169,170,171,172,173,175,169,190,201,172,127,104,173,172,173,171,170,171,170,169,169,168,166,166,166,165,169,169,169,172,173,174,175,175,173,178,200,177,138,86,140,181,171,173,171,170,170,169,168,168,167,167,166,165,169,170,171,174,174,174,176,177,172,177,194,168,132,89,114,183,171,173,171,170,171,170,169,168,167,168,167,166,169,170,173,174,174,176,178,176,184,208,187,162,149,112,121,173,172,176,176,173,171,170,170,170,168,167,167,167,170,171,175,175,177,177,176,176,213,201,174,158,166,176,172,161,154,156,162,170,175,173,173,170,170,169,167,168,171,174,175,176,177,179,173,199,209,180,141,121,140,175,190,189,179,168,147,149,152,164,170,173,170,168,168,168,173,176,175,176,177,176,186,219,203,186,160,119,103,133,167,180,186,186,175,165,157,161,151,152,164,172,171,168,175,176,176,178,180,176,207,211,192,177,162,158,139,131,136,144,150,161,172,181,186,189,174,146,140,137,162,172,174,176,176,179,178,186,211,199,169,148,148,141,164,168,153,142,129,116,124,140,150,170,180,173,159,129,125,154,174,176,178,181,179,206,225,205,169,145,139,132,138,169,175,168,151,122,103,142,157,151,151,151,151,151,147,154,176,178,178,177,189,220,221,198,171,158,159,160,156,141,149,163,162,140,125,120,175,180,171,162,152,148,145,147,176,177,179,178,203,219,209,185,164,163,174,173,173,155,101,133,136,140,142,117,159,183,178,179,178,173,166,163,177,179,177,192,215,216,205,173,148,130,158,185,186,182,118,134,114,115,117,131,178,179,179,178,177,177,177,176,177,177,182,211,212,223,205,170,146,132,121,151,162,173,168,147,127,122,114,173,181,179,179,178,177,176,175,174,177,175,194,214,218,225,195,164,154,153,153,143,121,143,180,159,141,118,162,186,179,179,180,179,176,175,174,173,179,180,209,214,221,210,194,170,162,158,157,149,140,135,134,134,127,148,184,181,181,180,179,177,178,177,175,174,175,191,216,215,213,205,191,177,165,165,163,149,133,128,131,109,157,186,182,181,182,181,180,179,178,177,176,175,174,201,215,212,212,201,181,168,151,151,158,150,141,136,125,147,192,183,182,181,182,182,181,181,179,177,178,176,178,209,212,208,205,194,181,153,125,113,119,132,130,133,149,181,187,185,185,183,182,182,182,181,180,178,178,177,191,210,202,195,193,177,152,128,112,92,144,180,169,176,188,186,186,185,185,185,183,181,180,180,179,178,176,176,207,206,187,182,172,150,128,117,111,100,179,194,191,189,187,186,187,186,185,184,182,181,181,181,178,178,177,176
1,149,152,155,157,160,162,164,165,166,167,168,168,169,169,169,169,169,169,169,169,169,169,169,169,168,167,166,166,152,155,158,160,163,165,166,167,168,169,170,170,171,171,171,172,172,172,172,171,172,172,172,172,171,170,169,169,154,158,161,163,166,168,170,171,171,172,173,173,174,174,173,174,175,176,176,175,175,175,176,175,174,173,172,172,157,161,164,167,169,171,173,174,175,176,176,176,177,176,163,163,177,178,178,177,178,178,178,178,177,176,175,174,160,163,167,170,173,175,176,177,177,178,178,180,174,174,153,139,174,179,179,179,180,180,181,180,179,178,177,176,163,166,170,174,176,178,179,179,179,180,181,187,168,158,150,120,147,162,179,182,183,183,183,182,181,180,179,179,166,170,173,176,178,180,181,182,182,183,184,192,168,153,157,116,129,133,173,185,186,186,186,185,184,184,182,181,169,172,175,178,181,183,184,185,185,185,182,190,173,153,167,129,134,127,161,187,188,188,188,188,187,186,185,184,173,175,178,181,183,185,186,187,188,188,171,169,177,149,168,139,141,138,150,186,190,190,190,189,189,188,187,186,175,178,180,183,185,187,188,190,190,193,166,151,177,146,164,150,153,160,144,182,193,193,193,192,191,190,189,188,176,179,182,185,187,188,190,192,193,197,169,151,179,149,167,160,151,170,145,172,194,195,195,194,193,192,191,190,177,180,183,186,188,190,192,193,195,200,172,156,189,156,162,164,143,174,153,160,194,197,196,196,195,194,193,193,179,183,185,187,190,192,194,195,196,200,171,151,183,146,143,159,137,176,161,150,191,199,198,198,197,197,195,194,181,184,187,189,192,193,195,197,198,202,175,139,166,151,143,157,149,168,154,140,183,200,200,200,199,198,197,196,181,185,188,190,193,195,197,198,200,204,174,139,156,175,163,167,175,160,138,128,168,200,201,201,201,200,199,199,182,185,189,192,194,197,199,199,201,203,182,163,148,167,179,190,186,160,137,122,144,196,203,203,203,202,201,201,183,186,190,193,196,198,199,200,203,203,183,167,147,162,192,194,186,186,159,126,124,186,204,204,205,203,202,202,183,187,191,194,197,199,199,200,206,206,176,156,155,168,172,160,168,205,195,155,123,173,205,206,206,206,205,204,183,187,191,194,197,199,200,201,209,215,179,149,146,145,143,151,178,203,198,165,131,161,204,207,207,206,206,205,184,187,190,193,195,198,199,200,208,222,192,152,150,154,173,197,209,201,184,152,119,150,203,208,207,206,206,206,185,187,190,194,196,198,200,201,207,224,207,163,164,168,197,220,220,203,175,140,106,146,204,208,207,207,206,206,185,187,191,194,196,199,200,201,206,223,219,179,177,174,197,226,226,202,166,130,103,152,206,208,208,207,207,206,185,188,191,193,196,199,201,202,205,218,222,196,191,180,189,225,224,194,156,120,105,167,208,210,209,208,207,207,184,187,191,194,196,199,201,202,203,211,221,210,198,184,179,216,216,185,148,112,109,181,211,211,210,209,208,208,161,165,169,174,178,181,184,186,188,193,215,218,200,180,167,200,204,173,137,108,118,189,209,210,210,210,209,209,110,112,114,118,122,124,126,128,131,141,193,211,192,173,159,179,187,160,127,106,116,159,173,183,198,209,210,207,99,99,100,101,102,102,103,103,104,112,173,201,186,168,153,165,176,153,119,103,104,121,145,176,194,198,202,204,100,102,106,106,105,104,103,103,103,111,169,199,185,166,154,162,172,147,110,100,119,159,194,206,195,179,180,197
19,157,161,165,168,171,174,176,178,178,180,180,180,180,180,180,180,181,179,179,178,178,177,176,174,177,189,156,197,160,164,169,172,174,177,180,181,183,183,184,184,184,184,184,184,183,182,182,182,181,181,179,178,182,158,155,198,164,168,172,176,178,181,183,186,187,188,188,189,189,182,186,188,187,186,186,186,185,185,184,182,182,187,196,200,168,172,175,179,183,185,188,189,190,192,192,201,194,151,146,190,191,190,189,189,188,187,186,185,183,187,185,162,171,176,179,183,187,189,192,193,195,196,196,213,192,141,109,181,195,194,193,192,192,192,190,188,187,186,179,166,177,181,184,188,191,195,196,197,199,201,200,217,194,148,105,158,198,197,196,195,195,195,193,192,190,189,186,185,179,184,188,191,195,198,199,201,202,204,203,220,199,157,109,132,202,201,200,199,198,198,196,195,193,192,189,192,183,186,190,195,199,201,203,205,206,208,207,222,197,152,105,112,204,205,203,202,201,201,199,198,197,195,193,195,185,190,194,198,201,204,207,208,210,212,211,221,194,155,130,144,181,180,189,194,196,196,200,201,201,199,198,198,188,192,197,200,203,207,210,211,211,211,207,213,203,196,194,193,173,150,165,175,164,155,160,162,181,191,197,202,190,194,199,202,207,209,204,188,189,201,204,211,206,208,204,187,169,150,161,177,168,164,161,150,178,175,161,200,193,196,201,205,208,222,204,185,190,195,195,196,193,187,182,170,155,128,133,151,158,160,159,148,157,163,138,187,194,198,203,208,211,228,204,191,185,175,178,183,180,177,178,173,161,117,152,163,163,157,150,146,152,160,89,166,197,200,205,209,214,205,165,153,161,170,183,186,181,180,177,175,164,133,185,221,220,217,214,212,213,174,77,112,198,202,207,210,225,189,166,158,160,169,173,170,174,175,173,170,151,119,184,222,222,222,220,218,215,118,78,72,199,202,207,211,218,179,174,172,168,158,137,144,158,150,139,141,128,107,210,223,223,223,221,212,177,87,76,75,200,204,209,213,221,209,190,166,157,163,166,165,162,156,149,143,133,120,219,224,210,179,137,99,79,74,75,76,201,205,211,214,225,231,207,167,144,157,163,163,162,159,152,143,137,119,169,142,83,68,73,66,63,70,71,73,201,206,210,216,226,233,208,169,152,145,139,142,147,146,138,131,123,106,69,56,60,50,56,52,65,66,66,69,203,208,211,217,225,225,219,177,156,137,121,124,136,137,129,121,105,85,64,58,61,56,50,48,58,61,58,64,203,209,212,221,229,231,228,190,155,131,142,151,149,143,132,124,104,58,52,63,56,54,53,52,49,52,53,59,203,208,211,221,231,232,231,197,154,128,138,145,142,132,120,113,100,54,43,55,58,55,46,47,52,52,53,55,203,208,210,216,230,227,214,177,149,138,138,144,141,124,115,114,91,56,45,47,55,55,49,38,45,48,57,57,203,208,211,216,227,221,204,172,150,146,138,137,121,107,110,111,55,49,50,44,45,56,54,41,38,43,50,53,203,208,209,215,222,218,194,167,148,148,139,121,94,85,89,78,37,36,45,43,44,47,56,48,36,39,38,37,204,208,207,215,216,209,176,151,152,170,139,96,80,52,24,43,48,34,38,43,43,45,48,53,40,36,37,35,193,198,200,217,212,199,173,155,166,166,130,91,76,44,13,26,49,45,37,43,39,40,42,47,46,31,35,33,126,129,182,217,210,198,179,173,177,159,124,94,66,55,16,17,38,50,43,40,38,32,38,40,45,36,29,33
0,190,192,192,192,193,194,195,195,196,195,194,193,194,194,194,195,194,193,194,195,194,194,195,195,193,193,194,193,191,193,194,193,194,195,196,196,197,195,195,195,196,196,194,195,197,200,196,197,196,195,196,196,195,196,195,195,194,194,195,195,195,195,196,196,196,196,196,195,195,197,207,189,155,172,202,188,193,201,197,198,196,195,197,197,194,195,195,196,198,196,195,197,198,196,200,197,167,164,214,183,152,128,134,148,141,182,189,151,191,200,198,198,195,196,196,197,199,198,198,198,199,201,223,206,169,132,180,190,169,148,85,139,138,122,175,117,177,206,197,199,196,197,198,198,198,199,197,204,182,172,228,204,180,147,174,210,172,154,102,159,151,118,150,124,169,207,199,200,196,197,199,199,199,199,202,229,181,138,189,218,185,155,163,227,185,158,108,173,153,109,124,130,143,214,198,201,196,198,199,200,201,197,215,223,190,161,163,230,191,155,149,227,188,155,106,175,149,97,111,142,96,200,201,202,197,199,199,200,196,213,209,208,202,176,139,214,199,151,130,224,186,143,87,143,138,90,99,153,83,149,213,201,199,200,200,199,201,217,181,203,212,182,127,189,205,150,109,195,175,129,78,116,123,83,101,158,93,122,214,201,200,200,203,199,212,208,168,183,208,180,124,160,197,143,93,156,162,124,83,99,112,74,119,167,105,126,215,204,199,201,202,200,211,203,175,168,189,163,116,129,178,135,84,122,157,120,81,102,114,86,162,179,115,129,216,205,198,199,199,205,213,192,164,137,174,155,112,107,169,134,75,99,159,116,76,125,117,114,191,175,115,138,215,203,198,199,199,200,224,207,174,127,145,158,103,96,164,139,73,94,167,117,139,186,150,122,180,181,113,150,215,204,200,201,199,202,223,210,179,141,105,138,123,91,168,153,85,103,166,169,186,178,163,133,131,167,106,153,214,203,200,201,199,206,228,214,190,161,124,113,135,110,165,163,147,184,192,189,178,165,147,136,114,119,93,150,216,203,201,201,200,206,228,220,197,171,157,146,141,163,176,187,204,204,201,191,175,159,138,122,116,99,82,148,217,204,201,202,200,206,223,222,206,186,173,163,153,157,180,194,201,201,203,192,170,155,135,115,104,98,78,170,215,207,199,201,200,202,217,219,212,199,189,170,162,159,172,190,200,199,195,186,165,151,131,111,102,84,131,210,210,208,202,205,205,199,215,219,219,209,193,174,163,162,173,194,203,200,188,179,163,147,126,108,85,118,207,207,208,208,166,170,176,168,201,220,223,210,194,178,165,162,174,198,201,194,182,174,159,138,118,97,96,199,215,213,215,215,101,103,108,94,155,223,213,204,195,183,170,157,174,194,190,179,168,159,147,127,110,92,119,169,169,172,171,168,108,109,109,96,124,219,200,195,196,187,175,156,168,190,182,167,149,136,126,117,99,100,102,100,98,94,116,151,106,108,110,103,116,212,189,192,197,188,172,157,164,188,177,156,127,113,107,99,102,110,103,102,131,177,214,213,105,105,107,105,112,209,190,193,198,183,173,162,160,180,171,142,107,97,92,102,110,111,140,183,220,221,208,191,106,105,106,105,108,213,205,194,196,180,169,165,153,165,161,127,97,92,94,100,123,194,229,238,225,217,210,190,105,107,105,105,104,210,212,202,194,178,170,171,149,156,155,119,93,89,92,147,219,236,233,227,217,224,227,212,107,106,106,106,104,199,211,209,194,178,170,171,145,147,152,115,89,78,153,226,224,227,230,216,212,220,230,230
15,170,146,148,130,90,170,69,21,80,78,79,83,88,91,103,117,131,142,146,149,157,164,168,172,175,178,182,185,170,147,155,122,101,173,55,29,82,79,82,84,88,91,104,119,133,144,147,152,159,166,171,174,178,181,183,187,171,152,163,113,116,173,40,40,84,79,83,87,89,91,106,122,136,146,150,155,161,169,174,177,181,184,187,190,169,155,167,107,131,166,30,52,85,80,84,87,88,93,108,124,138,148,152,157,164,172,177,181,184,188,190,193,169,156,168,97,150,156,13,58,82,78,83,88,94,96,113,130,143,152,155,159,168,175,179,184,187,191,195,197,165,167,163,113,148,142,86,106,107,113,123,125,122,101,102,116,132,149,157,163,171,178,190,193,190,195,198,201,161,180,149,127,128,126,128,114,106,114,110,106,98,106,106,103,106,113,123,134,134,127,141,173,203,202,200,205,166,160,122,117,117,113,105,100,101,103,102,100,101,115,118,115,112,110,108,122,130,116,103,90,130,194,214,208,170,168,136,103,110,97,100,95,101,105,106,104,109,121,121,118,112,106,112,125,125,122,116,99,81,90,160,215,170,177,143,107,186,77,46,90,88,92,94,98,108,119,122,116,106,109,121,124,116,120,114,106,101,89,76,112,174,182,129,122,199,55,30,90,81,83,85,88,89,107,125,153,133,120,120,121,122,120,116,109,108,111,96,76,178,188,119,138,191,42,45,90,82,84,86,90,91,104,137,185,166,137,125,119,110,116,111,113,112,126,107,91,179,190,111,153,184,29,53,91,82,83,86,89,92,104,176,167,144,103,98,109,87,90,111,114,122,137,115,101,179,187,107,168,172,21,62,90,81,84,87,91,85,138,185,142,129,94,54,67,49,56,144,133,139,131,112,109,181,185,101,180,157,15,71,89,82,84,88,87,102,193,162,127,109,87,48,41,27,62,167,156,148,118,103,110,183,179,101,193,143,11,78,89,84,83,87,79,140,208,162,120,100,60,38,42,22,90,170,170,159,122,98,104,188,175,103,202,126,12,85,88,83,84,88,81,117,195,179,137,105,52,31,40,43,99,162,181,166,126,99,95,196,167,109,213,111,14,89,87,83,84,87,90,88,175,200,167,117,67,26,71,83,86,154,174,149,121,99,82,202,161,117,223,96,19,93,86,82,83,86,90,89,138,216,187,133,77,40,47,106,145,160,143,116,111,94,74,207,149,129,225,80,24,95,85,81,81,83,86,95,115,203,200,171,154,146,147,163,143,124,104,92,96,91,77,211,140,144,223,63,32,94,82,80,80,83,83,95,111,169,210,175,159,155,164,160,115,87,89,84,86,92,96,213,129,158,216,49,40,93,80,79,79,82,84,93,121,193,163,133,131,139,165,158,101,79,81,75,89,92,86,210,122,176,206,38,50,94,80,78,78,82,86,87,153,196,139,131,134,131,154,152,109,79,92,180,118,61,56,206,116,191,195,16,48,84,70,69,70,75,79,83,151,178,133,119,118,115,137,137,112,69,180,254,127,62,61,201,114,200,182,84,104,117,104,99,94,91,92,102,130,153,145,158,155,107,88,131,106,84,172,255,134,69,64,195,118,204,186,153,118,130,130,129,125,127,131,128,126,127,138,145,191,159,86,138,137,114,159,192,122,77,67,188,120,210,185,136,102,119,116,117,118,121,120,122,121,119,123,116,147,191,124,111,128,126,123,127,104,74,74,180,126,214,180,136,112,122,123,124,124,124,125,127,128,130,131,130,127,148,140,130,133,134,134,139,108,60,42
15,43,47,51,55,59,65,79,93,104,111,115,120,125,131,136,138,143,146,148,150,152,156,157,157,157,158,159,158,44,48,50,57,60,66,80,94,104,113,117,119,125,132,136,140,145,148,150,153,155,156,158,159,158,161,163,162,45,46,50,57,63,69,84,96,106,115,120,121,128,135,139,144,147,151,152,155,157,159,161,162,163,162,163,163,46,48,51,59,56,63,82,96,107,115,120,123,130,137,141,146,151,152,154,158,160,162,163,164,166,164,165,166,45,48,52,55,95,105,104,104,113,123,121,126,132,139,145,148,149,153,157,160,162,164,165,167,170,169,169,170,45,52,42,105,195,128,118,111,131,144,123,117,120,132,134,146,157,158,161,161,163,167,168,171,171,171,171,171,47,53,42,105,156,80,79,78,123,121,97,98,145,146,115,101,115,142,155,168,171,167,170,173,174,173,173,173,48,49,52,56,75,65,68,63,102,93,71,85,151,150,125,80,100,112,122,118,147,179,170,175,175,175,176,174,48,50,54,59,60,73,86,96,103,98,87,90,136,142,95,85,152,131,129,115,73,136,185,173,178,177,178,177,48,51,54,59,64,75,92,107,119,128,128,128,119,91,66,179,145,145,104,147,119,56,151,186,177,180,180,179,50,50,54,59,62,75,92,106,119,124,135,174,105,67,76,149,139,100,100,147,124,102,49,171,183,180,181,181,47,50,53,58,62,76,93,108,120,123,159,187,140,65,38,40,87,65,128,108,113,125,52,74,194,180,183,183,49,52,54,58,62,77,95,108,121,125,146,190,173,118,91,67,51,70,149,102,114,82,76,25,127,200,182,186,48,51,54,58,63,77,96,109,121,127,161,158,167,148,167,139,71,68,67,77,77,43,31,36,31,170,193,186,49,51,54,59,64,78,94,110,117,148,181,139,136,120,161,131,50,51,55,48,61,40,17,28,14,47,188,190,50,51,55,59,63,79,96,110,120,145,141,95,101,108,138,87,45,53,50,53,65,52,27,26,26,2,93,204,50,51,53,59,63,80,97,110,123,135,153,106,102,68,52,42,32,39,40,43,48,44,43,39,25,22,21,175,50,51,53,58,63,81,98,112,120,144,171,170,137,81,55,82,66,11,44,59,55,51,59,56,34,26,10,93,49,52,55,58,63,81,98,112,124,134,146,169,147,107,97,88,95,19,49,84,75,76,83,71,37,19,25,20,50,51,54,58,64,81,98,113,126,133,140,140,120,89,46,40,85,114,42,83,100,96,86,62,26,23,29,25,50,49,53,57,63,81,99,115,126,133,134,138,115,83,44,22,63,103,53,53,109,105,73,44,24,29,33,30,50,49,52,55,63,81,100,115,126,133,135,144,154,162,163,138,95,127,128,90,86,80,50,37,32,37,37,31,45,47,51,52,61,80,98,113,126,132,134,141,149,153,167,164,62,86,107,120,71,74,58,26,8,7,8,11,43,46,50,50,59,81,98,113,126,131,133,141,150,156,171,132,33,28,2,7,19,22,6,0,0,0,0,0,44,45,49,50,57,78,96,112,126,132,134,143,151,156,175,102,34,39,35,0,0,0,0,0,0,0,0,0,42,44,47,50,57,77,97,112,125,133,136,143,152,158,170,75,32,28,30,19,0,0,0,0,0,0,0,0,40,41,45,47,56,76,96,111,125,133,136,142,150,163,150,40,30,27,20,30,0,0,0,0,0,0,0,0,36,37,42,44,55,75,92,108,122,130,133,141,148,168,110,29,36,23,19,33,0,0,0,0,0,0,0,0
5,43,51,60,68,77,85,92,96,98,104,109,112,116,120,123,123,140,111,114,140,138,140,141,141,141,143,143,142,44,53,61,70,78,86,94,97,100,106,108,117,121,122,126,125,165,86,79,147,139,142,142,142,143,145,146,144,45,54,63,72,80,90,95,100,104,105,120,110,119,127,123,147,154,44,99,148,140,143,145,146,147,147,147,147,47,55,65,74,84,89,97,103,105,108,163,75,92,138,122,176,105,29,131,147,142,146,148,148,148,148,149,148,51,58,65,76,85,89,101,105,102,128,152,47,101,135,143,183,68,58,153,145,147,151,151,150,150,151,151,151,50,60,67,74,96,115,79,110,97,160,108,34,127,129,180,141,47,102,158,148,151,152,153,153,152,154,154,154,52,60,69,70,116,134,44,109,106,178,87,56,132,152,171,71,51,143,152,150,149,152,151,157,156,156,156,156,53,60,70,71,122,157,43,105,123,148,60,85,136,178,142,45,80,159,145,154,182,163,103,148,161,158,158,157,55,61,71,76,115,202,68,82,140,123,52,109,146,187,129,59,120,158,163,181,170,184,106,133,167,159,161,160,55,61,73,84,96,210,155,99,128,135,84,105,166,168,101,66,141,165,198,142,124,185,72,144,166,162,163,162,56,63,74,87,83,189,223,184,131,116,91,93,153,129,82,95,167,186,138,64,120,175,49,136,173,164,165,165,59,63,76,87,91,119,208,219,169,103,71,65,86,82,90,140,178,169,107,42,148,168,51,95,181,165,167,167,56,64,78,88,101,97,139,227,174,116,65,49,53,56,86,147,132,115,69,81,176,146,68,60,173,169,170,171,58,65,79,89,100,110,102,215,189,126,89,56,50,50,71,109,108,68,48,150,186,166,84,62,171,171,172,171,58,67,80,91,102,110,103,211,205,141,115,71,46,47,58,83,85,37,114,175,184,174,95,74,178,174,174,174,59,69,81,93,104,110,107,218,215,160,134,85,47,46,53,83,105,113,150,149,183,171,89,80,181,175,176,177,59,68,83,95,103,113,107,213,221,176,139,82,46,41,62,111,147,159,154,118,128,166,83,92,187,175,177,178,60,70,84,95,103,115,106,205,230,179,140,93,53,37,84,145,155,151,142,108,83,103,62,103,189,176,179,181,61,72,86,99,104,116,104,185,228,178,152,110,65,66,101,139,145,136,122,91,65,64,44,124,188,177,182,182,61,74,88,99,106,115,105,165,224,184,156,118,71,71,118,127,130,106,100,76,60,47,99,177,182,182,184,184,61,74,88,98,108,117,107,168,233,188,140,103,73,53,95,102,103,80,76,63,50,113,183,181,184,184,183,185,62,75,88,99,108,120,105,174,227,162,114,80,63,57,75,87,81,64,58,53,133,187,179,182,186,185,185,185,61,76,90,101,110,122,104,184,216,152,109,72,71,75,67,76,63,53,46,133,189,179,183,184,186,186,187,185,62,77,91,101,112,114,135,193,201,166,121,74,83,87,61,60,51,39,127,187,179,184,186,186,187,187,188,187,63,77,91,104,106,140,217,214,177,140,112,84,84,76,51,47,25,102,187,178,183,186,186,187,188,188,188,189,64,76,92,99,121,203,218,219,201,167,97,71,69,64,48,38,36,168,182,179,185,188,189,188,188,190,190,190,63,76,90,98,190,209,211,197,184,180,156,109,65,47,37,22,59,186,176,181,184,187,189,189,191,190,190,190,63,78,81,148,213,199,200,179,174,155,156,145,93,56,48,35,34,146,179,179,182,185,186,187,189,189,189,190
4,169,171,172,173,172,174,175,175,177,177,177,177,178,177,177,178,178,177,176,176,176,177,177,177,177,176,175,174,170,171,173,173,174,176,177,177,178,178,178,178,178,179,179,178,178,178,177,178,177,177,177,178,177,178,177,176,171,172,174,174,174,177,178,178,179,179,178,179,179,180,179,178,178,181,179,178,179,179,179,179,179,179,178,178,173,173,176,177,177,179,179,179,180,180,180,178,177,178,178,184,182,181,180,182,182,182,180,181,181,181,180,179,174,175,177,177,178,179,180,180,181,179,178,183,205,208,185,183,214,202,161,166,182,180,186,183,183,183,181,179,175,177,177,178,179,180,180,182,179,187,201,201,182,211,193,132,169,193,152,112,179,172,158,185,183,182,181,181,178,178,179,179,179,181,183,180,191,219,220,188,123,160,177,119,125,171,122,124,211,171,109,165,188,183,184,183,178,179,180,182,183,182,184,179,210,216,216,187,119,139,188,113,91,180,133,181,211,162,101,163,192,185,186,185,179,180,181,184,184,183,185,179,213,205,191,202,160,112,188,123,111,185,194,217,202,188,119,168,193,186,187,185,180,182,183,185,185,184,187,180,213,205,179,178,142,70,132,199,188,190,200,189,191,207,161,154,194,186,186,187,181,183,184,186,186,185,186,188,219,214,188,157,122,88,80,165,164,168,176,153,200,218,199,143,181,192,188,189,181,184,185,187,188,188,184,196,220,206,169,143,134,118,109,111,111,133,131,113,214,220,212,165,146,197,188,189,184,185,186,187,187,192,186,201,220,208,173,140,118,114,121,126,109,135,112,142,216,217,208,178,127,185,192,190,185,186,187,188,189,191,186,207,220,210,177,143,124,117,125,135,142,166,176,219,216,208,188,161,122,163,199,191,186,186,188,190,191,192,187,210,220,211,186,156,129,121,130,150,155,183,217,218,214,202,173,142,117,165,199,191,187,189,190,191,191,194,189,210,220,212,196,170,135,121,129,150,177,211,220,218,211,194,163,132,116,183,196,192,187,190,191,192,192,194,189,211,220,215,203,176,150,135,134,160,207,220,219,217,203,180,150,120,129,199,194,194,188,190,191,192,193,195,189,210,220,218,209,184,172,148,153,178,215,219,219,212,193,166,138,110,154,204,194,195,190,190,191,192,194,196,191,207,220,219,213,191,183,171,163,181,205,220,213,199,179,152,124,108,182,202,195,196,190,191,192,193,193,194,195,203,220,219,218,201,190,180,163,164,196,219,198,186,168,137,114,123,202,198,198,196,191,192,193,196,199,199,196,196,217,218,214,202,191,174,167,162,182,209,182,167,155,128,100,158,208,197,198,197,193,193,196,185,168,154,139,129,129,129,116,108,103,106,112,121,144,168,166,160,144,117,103,195,204,200,200,199,192,197,157,136,126,122,116,113,104,94,84,74,66,64,50,46,59,66,78,100,122,97,137,209,200,201,200,198,193,198,140,125,129,124,119,115,103,96,84,75,72,66,52,52,57,53,43,39,50,68,190,208,201,201,200,199,193,203,158,120,124,120,117,112,96,87,81,72,70,61,54,54,58,50,44,44,42,31,102,212,201,202,202,202,194,203,173,122,124,117,117,106,96,84,79,72,68,60,54,54,56,48,41,39,41,43,20,162,214,201,204,204,196,202,181,127,121,120,117,107,93,85,77,70,65,61,54,54,52,46,39,38,40,38,43,188,209,203,204,204,196,202,187,124,120,123,111,102,91,84,75,68,62,59,55,53,50,44,39,36,44,23,123,220,201,205,205,204
10,53,88,79,15,40,64,70,75,82,91,106,113,120,127,130,135,136,138,140,143,147,150,150,152,155,156,157,158,60,91,73,14,46,65,71,77,83,91,107,115,121,127,131,135,137,139,142,145,148,150,152,153,155,157,158,159,72,93,63,14,51,66,72,77,84,95,108,116,124,129,133,136,142,140,132,146,149,151,153,154,157,158,160,162,84,95,54,17,55,67,73,78,85,98,111,117,125,131,135,136,159,140,105,146,150,151,154,156,157,158,161,163,92,97,43,22,59,68,74,79,86,100,112,119,126,132,135,137,163,146,102,145,151,153,156,157,159,161,163,163,94,99,34,27,61,69,75,81,88,102,113,121,127,132,136,138,161,149,99,137,153,155,157,159,160,162,164,164,98,100,26,31,62,69,75,81,89,104,115,123,128,133,137,141,156,155,113,121,155,156,158,160,163,163,165,166,102,96,20,37,64,70,76,83,91,107,117,122,129,134,139,142,149,158,122,101,156,157,159,161,164,165,166,167,106,92,16,43,65,71,77,84,92,130,117,97,126,134,138,143,146,156,128,90,149,158,161,162,165,166,167,168,108,83,15,48,66,72,85,88,94,141,112,83,103,136,140,143,145,166,140,90,131,158,161,163,165,167,168,170,111,73,17,53,67,84,136,94,84,125,127,93,79,132,140,144,145,180,154,101,110,159,161,164,166,167,169,171,113,61,19,58,69,83,114,79,67,95,139,113,79,111,141,145,145,177,148,107,95,161,162,165,167,169,170,172,113,49,22,61,69,75,86,82,73,81,139,116,85,75,116,142,148,165,142,110,86,158,163,165,169,171,171,173,115,39,27,65,70,76,83,88,88,84,139,122,87,69,70,104,142,144,136,115,83,151,165,167,170,172,173,174,114,30,33,68,72,77,83,90,101,112,156,142,104,75,63,66,95,111,126,114,85,144,165,168,170,172,174,175,110,22,37,67,72,77,84,90,108,138,170,156,123,85,66,52,70,85,107,108,83,133,166,169,171,173,174,176,104,17,42,69,73,78,84,92,162,167,164,165,138,104,76,64,68,87,96,98,78,116,167,170,172,174,175,175,96,16,48,71,74,79,85,103,184,176,163,167,151,124,89,72,70,80,90,89,73,112,169,170,172,175,176,176,84,17,53,71,74,78,85,101,187,172,164,173,153,129,90,70,65,72,83,78,68,137,169,171,173,175,176,178,71,17,57,72,75,80,86,94,155,129,172,172,149,122,86,71,66,74,83,76,85,162,171,173,174,175,177,178,57,18,61,73,76,81,86,93,123,107,191,163,140,120,93,78,69,75,79,73,123,167,171,173,174,175,177,178,44,22,65,73,76,81,87,95,150,160,191,166,136,116,96,82,74,74,76,77,155,169,172,173,175,176,178,179,32,25,67,73,75,81,87,98,181,183,186,157,136,106,97,84,77,71,71,105,166,171,173,174,175,176,179,180,24,30,69,73,75,81,87,109,194,186,177,147,131,99,91,86,79,70,71,148,168,171,174,175,176,178,180,181,16,34,70,73,76,81,88,109,194,186,166,137,120,95,86,84,79,68,100,165,169,172,173,175,176,178,180,181,12,38,71,74,77,82,88,110,196,179,161,131,115,94,84,80,74,62,133,167,170,171,172,175,177,179,180,181,11,44,72,74,77,83,89,114,185,168,163,138,124,99,82,74,66,66,149,167,170,171,173,175,178,180,181,182,12,48,72,74,77,83,89,106,161,163,168,157,134,105,80,67,61,77,158,167,170,173,174,176,178,180,181,182
6,217,219,221,221,222,221,223,223,221,222,222,220,219,219,219,219,218,217,215,215,213,213,212,212,211,209,207,205,219,220,222,224,224,224,224,224,224,223,224,223,222,219,219,219,218,217,216,216,216,216,215,213,213,211,208,206,219,221,223,225,226,226,226,226,225,224,224,224,223,222,220,221,220,218,218,217,217,216,215,213,213,212,210,209,220,222,225,225,226,228,227,227,228,227,226,226,224,224,222,221,222,221,219,219,218,217,216,215,214,213,211,211,222,224,225,227,228,229,229,228,230,228,227,227,227,225,224,224,225,223,220,216,217,216,217,213,212,210,204,209,223,225,226,229,230,230,231,230,230,230,231,230,228,224,219,215,210,210,208,187,192,204,203,188,200,193,210,235,225,226,228,230,231,231,230,231,230,229,218,210,212,214,208,210,212,212,203,198,192,211,209,195,202,198,202,223,225,227,229,231,231,232,231,230,234,234,210,193,203,213,216,220,221,219,203,187,187,182,183,171,164,164,156,164,226,228,229,231,232,233,232,229,244,241,217,205,196,196,197,192,189,181,174,163,140,140,129,146,174,178,196,208,228,229,231,232,232,233,234,232,252,245,231,217,199,188,183,176,170,160,146,127,104,93,106,210,227,223,222,218,229,230,231,232,234,235,232,242,255,250,241,209,179,175,182,188,185,179,169,162,159,120,187,230,218,219,218,216,230,231,233,232,235,237,232,252,255,255,230,181,162,171,175,185,189,185,176,167,169,133,194,230,222,221,219,217,230,233,235,235,236,234,235,255,254,252,203,168,176,171,161,167,183,170,164,164,152,119,202,229,223,222,220,218,231,233,236,236,238,230,245,255,252,251,222,207,189,174,152,160,185,176,172,174,149,143,230,226,224,223,221,219,232,234,235,237,236,235,255,254,254,255,253,238,196,172,181,188,186,176,166,154,154,139,212,230,224,224,221,220,233,236,236,239,230,245,255,255,255,251,251,241,187,162,170,175,176,170,155,148,146,122,211,230,225,224,223,220,232,235,236,235,231,250,255,255,251,246,243,225,186,167,161,152,158,164,161,155,130,151,231,227,226,226,223,219,231,232,236,223,239,252,254,254,246,241,235,231,214,195,159,130,145,164,159,155,124,191,235,224,226,224,219,222,231,236,228,218,250,253,253,248,248,247,238,233,241,219,171,149,166,181,167,148,136,144,230,225,224,223,229,210,233,237,218,234,250,252,250,249,252,244,234,242,240,205,158,148,156,154,145,135,120,140,230,229,232,226,175,114,235,225,227,245,248,248,245,240,236,232,232,239,220,182,154,151,147,137,128,123,131,211,238,221,176,125,87,81,230,219,239,243,247,240,232,228,221,225,222,207,185,162,151,138,129,168,178,196,217,200,155,109,81,78,80,79,220,227,241,241,243,232,221,218,216,213,209,187,168,157,161,147,174,204,177,156,121,92,69,63,72,77,74,72,210,239,239,239,229,219,208,204,212,206,196,185,175,159,136,110,104,83,73,70,72,80,57,61,66,71,70,71,224,242,238,234,225,216,202,196,196,188,177,168,148,122,95,76,65,71,70,74,78,70,49,56,61,67,69,67,237,240,237,229,220,201,184,182,174,157,145,131,109,85,76,84,63,60,64,69,74,65,45,52,58,66,67,64,241,239,234,231,206,175,173,169,160,146,116,94,79,70,69,81,68,54,65,66,68,60,43,51,59,67,64,64,241,237,233,225,178,167,186,174,152,129,87,77,69,66,66,75,69,57,65,57,65,55,42,52,60,66,61,61
15,21,64,74,91,103,112,123,135,148,153,158,164,169,173,176,179,182,185,187,190,193,195,197,197,200,202,204,207,24,67,74,93,104,115,124,136,149,153,160,166,170,174,177,180,185,187,189,192,195,196,197,199,201,205,207,208,28,69,80,95,105,116,123,138,151,154,160,167,171,174,178,182,185,187,190,193,195,197,198,202,203,206,208,209,34,72,81,98,108,112,123,140,152,154,160,166,171,175,179,184,186,186,191,195,195,197,201,203,204,206,208,209,43,73,82,96,106,139,135,137,151,158,162,167,170,176,181,184,186,187,191,194,196,200,202,204,206,207,208,211,49,74,86,96,115,196,153,131,124,141,163,171,172,176,181,185,187,189,192,194,197,200,202,204,207,207,209,212,57,74,87,100,112,163,162,148,133,118,126,151,171,182,182,184,187,191,194,195,198,203,204,206,206,206,208,212,61,73,87,103,110,121,141,140,138,131,134,132,132,147,179,190,187,190,194,196,198,202,204,207,206,207,210,213,64,75,89,100,111,121,129,140,126,132,142,149,142,128,121,155,186,195,195,195,197,202,205,208,208,210,212,215,67,78,91,102,112,123,132,147,146,145,144,144,145,140,127,122,128,164,195,201,200,202,205,207,208,210,214,216,71,80,94,104,113,122,131,146,154,159,162,146,127,132,146,146,131,119,130,168,199,208,204,206,208,211,214,217,70,81,94,105,114,123,135,150,154,158,167,169,155,142,122,123,132,125,122,130,130,169,209,207,210,212,215,217,71,81,95,106,115,123,138,151,153,161,181,139,122,147,142,104,94,112,139,145,147,116,147,213,208,214,216,217,71,82,97,107,116,123,137,151,151,172,180,144,109,105,139,138,128,140,142,154,162,139,96,160,223,213,216,218,73,83,98,107,117,125,140,152,151,166,151,133,133,138,149,124,136,144,130,147,157,144,132,104,202,218,216,219,75,85,98,108,118,125,139,150,154,160,166,138,151,179,165,131,99,101,84,136,166,143,160,116,132,225,214,217,75,88,99,108,117,126,139,150,155,154,197,158,139,175,160,136,131,118,96,113,123,137,148,133,89,188,223,216,76,88,99,107,118,125,138,152,150,172,188,135,97,105,144,157,154,149,133,113,109,107,118,128,104,121,226,217,76,88,99,107,118,125,141,152,148,186,158,105,93,40,50,114,167,170,160,149,141,110,92,107,111,83,190,227,77,90,101,109,118,127,143,147,157,194,131,82,77,55,38,25,88,173,177,170,159,121,92,101,106,84,127,231,78,91,101,110,120,128,145,142,172,178,99,82,123,105,82,48,11,121,183,171,158,129,112,105,104,99,85,195,79,90,100,109,121,131,143,155,179,129,74,147,161,127,124,105,33,63,186,170,161,148,138,122,109,105,89,121,80,92,102,111,121,130,142,163,133,90,113,187,173,136,137,132,107,77,171,179,173,163,156,138,118,107,103,91,82,93,102,111,119,130,146,150,133,135,166,166,164,151,126,127,126,115,145,179,178,172,161,144,130,117,109,103,82,93,102,111,119,131,144,149,158,167,169,174,165,141,109,105,99,132,138,155,173,168,159,147,135,122,116,109,83,93,102,112,118,133,145,149,155,162,167,172,181,183,171,156,135,133,150,121,146,156,153,147,138,127,114,112,82,93,101,108,116,132,145,149,155,163,167,172,178,183,190,192,191,192,175,149,139,157,151,146,142,133,118,113,82,93,99,107,116,130,143,146,153,162,167,172,178,183,185,187,193,207,208,194,177,175,155,139,138,140,133,123
6,148,150,153,154,156,158,160,161,163,165,166,167,168,167,168,170,170,170,170,169,170,171,171,172,173,172,172,171,150,152,152,154,155,158,161,162,164,165,165,166,168,167,169,171,170,171,171,171,171,171,172,171,172,173,172,171,151,151,153,155,157,159,160,161,163,164,165,166,169,169,169,170,170,169,171,171,169,171,171,171,172,172,173,172,151,152,153,156,159,160,161,164,164,165,167,168,170,171,171,170,172,173,173,172,171,171,173,171,172,176,173,171,152,153,155,158,160,161,162,165,166,166,168,170,170,169,166,159,146,149,158,153,151,148,134,159,165,160,174,173,153,154,156,160,161,162,164,165,166,166,168,170,171,169,166,152,129,133,145,147,140,136,124,134,151,127,173,174,154,154,155,159,161,162,165,165,166,167,174,178,175,171,158,139,128,117,114,118,113,114,113,111,113,141,178,174,154,157,157,159,162,163,166,169,170,174,171,163,154,139,121,105,103,114,116,121,134,142,147,154,163,178,175,175,155,157,159,161,161,166,174,164,155,151,151,146,145,138,128,111,121,149,163,181,181,183,183,181,179,177,177,176,158,159,160,162,161,185,182,150,133,134,138,143,150,151,148,143,136,130,116,170,181,178,179,178,179,179,178,178,158,159,160,163,162,196,173,146,146,139,135,130,131,134,134,130,123,122,95,156,187,179,181,180,180,180,179,179,158,159,163,165,164,196,167,160,169,150,137,138,136,142,144,138,123,114,105,169,185,182,182,182,181,182,182,181,160,159,163,164,169,196,183,192,179,150,132,133,134,137,138,135,132,128,112,142,191,182,183,183,184,183,182,182,160,160,164,163,175,197,194,191,177,164,155,138,122,111,120,124,120,115,109,93,157,190,183,184,184,184,184,183,161,162,166,163,182,197,192,187,186,185,171,146,131,127,136,133,118,108,108,81,113,194,184,185,184,185,185,184,161,163,166,162,189,199,194,193,194,182,170,155,138,131,136,131,124,115,119,90,136,193,184,185,185,186,187,185,161,163,165,165,194,198,194,194,192,182,171,150,138,137,134,132,127,123,111,128,186,186,186,186,185,187,187,186,162,164,164,168,198,194,193,192,191,178,157,147,140,138,127,123,126,123,106,171,192,185,187,186,186,187,187,186,163,165,165,171,201,194,192,191,185,158,150,150,141,124,115,84,105,112,117,187,187,187,188,189,189,189,188,186,163,166,164,176,197,190,190,188,174,148,144,149,139,108,81,70,90,101,155,192,185,187,188,189,189,189,188,186,164,166,163,182,193,187,188,180,158,140,148,146,126,112,84,90,122,155,189,189,189,189,189,189,189,189,189,188,165,167,165,187,189,181,183,171,153,142,154,143,124,109,90,111,193,192,188,189,190,190,190,190,189,190,190,189,165,169,165,188,185,184,177,163,150,154,160,139,123,108,90,134,198,187,190,190,191,191,191,190,190,190,190,189,165,168,163,183,185,176,164,160,148,158,153,132,118,105,98,174,195,191,191,191,192,191,191,191,191,192,190,189,166,168,164,177,178,172,163,151,148,159,143,126,115,96,139,196,189,192,191,192,192,192,192,192,192,190,189,189,166,168,160,183,183,170,163,145,151,154,137,124,104,119,191,193,192,193,193,193,193,193,192,192,192,191,191,190,166,163,162,187,178,167,158,146,152,145,128,118,98,164,199,192,195,194,194,193,192,194,194,192,191,192,192,191,168,161,165,181,171,155,148,149,144,136,121,109,101,179,195,193,195,195,195,194,194,195,194,194,192,192,192,192
18,106,107,110,112,114,118,120,120,122,123,125,127,127,127,127,128,127,128,128,130,130,131,133,132,132,133,132,132,108,110,113,114,117,120,122,122,126,127,129,130,130,130,130,131,130,130,131,132,134,134,135,135,135,135,135,136,110,113,115,117,120,122,124,127,129,130,131,132,132,132,133,134,133,134,135,136,136,136,136,136,138,138,137,136,113,115,118,120,122,124,127,129,130,133,133,135,135,136,136,136,135,135,136,136,137,138,139,137,138,139,140,140,115,116,119,122,125,126,129,131,133,135,136,137,137,138,140,138,137,139,141,144,142,140,145,143,144,142,141,143,116,117,121,124,126,128,130,134,136,136,137,138,139,141,141,141,141,143,126,121,139,145,120,96,116,145,145,145,119,120,124,127,128,130,133,136,137,138,139,141,142,142,143,141,142,145,109,97,127,149,109,54,63,106,156,143,121,122,126,128,130,132,136,138,139,141,142,143,144,145,142,146,144,132,128,128,147,134,132,83,45,51,146,150,123,126,128,131,133,135,138,142,142,143,144,145,145,146,149,122,125,115,129,132,126,103,153,105,54,19,118,162,125,127,130,133,135,138,141,143,144,145,146,146,141,165,160,102,76,91,110,104,63,110,173,116,73,21,101,165,127,129,132,134,136,139,142,144,146,146,145,157,101,109,149,107,78,67,106,61,28,155,170,126,91,27,98,166,128,130,134,135,138,142,144,146,147,143,163,175,96,54,143,128,108,70,151,86,33,167,176,148,109,36,105,169,129,131,135,137,140,144,147,148,147,159,161,168,119,70,116,149,114,65,119,119,65,139,183,160,111,49,63,169,130,133,137,139,142,145,148,148,155,164,119,164,145,96,81,147,115,81,35,95,157,166,158,133,102,69,29,140,131,134,138,140,143,146,149,147,166,172,119,153,155,110,64,119,126,83,106,155,161,164,131,117,100,83,30,117,133,136,139,142,145,149,150,156,166,145,103,119,133,95,45,83,98,117,177,162,146,141,120,105,100,73,37,143,134,138,142,144,147,149,150,155,175,149,103,100,86,56,27,20,94,178,172,156,137,124,114,88,82,43,69,171,136,141,143,145,148,151,153,153,174,153,127,102,46,39,8,29,171,172,160,148,135,124,93,71,56,26,128,171,139,142,144,147,150,153,154,156,176,161,144,109,67,101,57,131,183,169,161,143,131,113,75,56,38,52,169,165,139,142,146,148,150,154,154,161,176,173,137,102,134,122,112,186,172,170,153,134,121,92,61,50,29,93,177,165,141,144,148,150,151,155,154,168,174,176,126,122,146,105,153,192,179,162,143,128,109,73,48,45,33,148,173,166,142,146,148,151,155,157,154,167,179,172,130,132,143,96,180,182,182,153,130,111,87,56,44,27,87,176,166,169,143,147,149,152,155,157,159,156,169,174,138,145,131,107,190,183,167,141,122,98,66,46,39,37,158,174,169,170,145,147,150,153,156,158,163,158,159,165,147,153,128,141,170,170,148,123,108,84,57,49,23,94,183,168,171,171,145,149,152,155,156,159,163,161,152,161,149,160,143,139,147,151,135,118,96,74,56,40,42,164,174,173,171,171,147,151,154,156,158,160,162,163,150,166,160,151,137,117,135,148,137,108,84,66,52,25,114,181,171,174,174,174,147,151,153,156,159,161,163,165,149,155,136,126,119,109,134,140,132,102,70,57,33,53,171,172,174,175,175,176,147,151,153,157,160,162,164,167,156,144,119,126,123,140,144,141,124,96,68,54,24,104,182,173,175,176,176,176
4,162,163,164,164,164,163,163,162,162,162,162,161,160,160,161,160,157,158,157,156,155,156,155,154,154,153,151,150,165,164,164,165,165,164,163,162,162,163,162,161,162,160,160,161,160,160,158,158,157,156,155,155,153,154,153,151,165,166,166,166,165,164,164,164,164,163,162,162,161,160,161,161,159,159,160,157,156,157,156,155,154,154,154,153,166,167,166,167,167,166,166,166,165,166,164,163,164,166,163,162,163,161,158,158,157,158,157,155,156,155,155,154,168,168,167,167,168,167,166,165,161,155,160,165,146,139,159,159,148,149,163,159,160,157,156,157,156,156,155,155,169,169,169,169,168,167,169,173,152,138,104,120,141,105,88,139,135,94,111,170,161,162,157,158,157,157,156,154,170,170,169,169,169,166,178,183,158,130,88,70,131,104,61,111,131,92,64,97,113,129,160,158,159,158,156,155,171,171,171,170,167,174,183,161,166,115,76,74,126,92,56,108,124,85,70,44,70,65,104,164,157,158,156,156,172,171,172,172,169,176,182,151,164,117,105,70,132,124,54,99,148,109,70,48,69,61,72,164,157,159,159,156,172,171,172,173,170,175,175,136,155,156,136,73,156,151,55,99,186,128,72,52,104,85,90,166,158,160,160,158,172,172,173,173,169,181,193,167,140,149,109,73,156,131,50,89,174,120,71,77,131,123,84,155,162,160,160,158,173,172,172,174,172,189,182,161,137,112,80,58,89,76,90,156,127,119,127,118,125,118,76,110,170,159,161,159,173,174,176,175,176,185,166,144,119,100,91,80,61,52,104,177,135,127,141,132,128,115,102,80,153,164,160,160,174,174,176,172,179,199,181,161,138,98,77,72,69,72,67,128,137,123,135,127,111,137,133,83,114,171,158,161,175,175,176,174,182,199,181,167,133,93,83,75,67,69,74,93,100,109,126,82,112,157,144,107,78,166,161,161,177,177,178,175,188,198,184,168,127,91,91,77,70,75,89,100,107,129,142,126,123,156,152,113,64,142,168,161,177,178,178,175,190,196,184,151,124,102,90,79,67,96,128,151,159,162,153,160,135,118,129,104,63,110,172,160,177,178,178,176,188,197,181,150,133,96,86,94,122,157,167,167,158,157,143,132,137,102,99,93,71,86,171,160,179,179,178,178,191,194,178,154,138,114,113,136,157,170,164,163,155,146,136,122,123,103,90,90,75,72,170,162,179,178,180,176,179,194,181,160,151,125,126,151,150,175,162,157,149,143,132,119,109,98,85,85,55,98,173,162,180,181,183,105,82,105,146,171,148,126,118,146,145,156,154,148,149,135,114,106,101,84,74,55,75,166,166,165,179,189,157,64,69,60,65,78,78,75,83,116,133,143,146,143,137,119,102,98,85,73,50,62,159,171,167,167,181,188,103,66,66,66,66,36,24,42,41,45,64,88,111,136,127,112,98,84,70,47,61,156,172,166,168,167,192,148,64,70,63,62,65,55,16,35,41,39,36,33,37,60,82,89,77,62,41,70,160,175,168,170,169,168,186,92,64,63,56,56,61,60,15,24,37,39,36,35,32,28,29,42,42,35,93,170,175,170,171,170,170,169,134,64,70,57,52,56,61,52,12,21,33,35,32,30,33,32,32,31,7,78,191,172,172,172,171,171,171,169,78,66,49,76,75,38,67,35,8,24,33,32,28,30,30,29,31,26,16,20,147,183,172,173,173,172,171,170,64,58,47,70,94,51,54,17,14,27,28,28,25,27,28,29,30,19,20,6,96,190,171,175,172,172,171,171
8,153,156,158,160,163,160,163,164,164,163,164,164,165,163,162,162,160,161,159,159,158,157,156,156,154,154,153,152,156,157,161,156,147,165,164,165,164,164,164,165,165,164,164,163,163,162,160,159,159,159,158,157,157,155,154,153,157,156,167,157,104,157,168,166,165,165,165,166,166,166,165,165,163,163,163,162,161,160,160,158,158,157,156,155,158,158,170,168,96,136,173,167,168,167,167,167,166,166,166,165,165,164,164,163,161,162,161,159,159,158,156,156,158,160,167,181,100,123,177,167,170,168,168,167,168,167,167,165,164,165,165,164,163,162,162,161,160,159,158,158,160,163,165,174,104,111,179,169,172,172,173,168,170,172,170,168,166,167,166,165,164,163,164,163,161,161,160,158,162,165,165,180,137,101,174,173,170,159,158,174,167,151,160,174,172,169,167,167,166,164,164,164,164,163,162,159,163,165,164,182,153,88,162,175,185,165,123,152,183,131,107,161,156,167,171,166,168,167,165,166,165,163,162,161,164,167,166,178,159,106,132,180,198,195,147,103,178,149,144,108,108,109,167,172,168,169,167,167,167,164,163,161,167,168,168,177,183,137,120,170,192,201,171,97,140,154,159,144,130,115,127,167,170,170,169,169,168,165,164,163,168,169,169,172,187,134,130,160,164,191,174,106,108,146,126,169,171,174,142,100,167,170,168,169,168,166,164,163,168,170,172,173,184,168,148,174,162,166,177,106,86,127,81,144,160,173,151,87,156,175,169,169,170,168,166,165,169,171,174,173,194,191,140,141,159,141,176,136,83,106,81,110,158,178,154,88,155,176,169,170,170,170,168,166,170,172,175,173,191,169,123,122,131,116,157,174,101,84,74,119,177,189,158,88,156,177,170,172,171,171,170,167,171,174,176,173,190,189,149,121,114,109,124,136,106,92,69,132,182,189,155,88,157,179,172,173,173,172,171,168,171,174,177,173,195,196,163,129,110,110,106,150,149,108,126,164,177,179,139,80,146,182,173,174,173,173,171,168,172,175,177,175,198,193,167,144,113,96,120,168,167,170,178,170,155,147,116,74,136,184,174,174,174,174,172,169,171,174,178,177,202,193,172,156,132,99,114,161,191,197,186,165,136,115,97,74,163,180,176,175,174,174,172,170,172,176,178,178,203,195,175,158,144,114,113,171,202,196,181,157,121,97,71,111,186,176,177,176,175,174,171,171,175,176,179,179,198,198,182,165,154,125,124,184,199,186,160,139,107,79,73,171,181,178,178,177,176,176,173,172,175,177,182,180,194,201,186,170,163,133,129,189,187,165,141,117,96,62,128,190,178,179,179,177,178,177,175,173,175,177,180,180,190,201,190,174,160,132,132,177,174,155,132,106,80,79,179,181,180,179,178,177,177,176,175,173,174,176,178,179,190,204,188,169,147,117,137,164,148,142,126,100,60,141,189,178,179,179,178,176,176,176,175,173,175,178,181,176,193,201,180,161,136,126,141,152,131,123,120,73,92,187,180,180,181,180,178,177,177,175,173,172,175,178,181,174,204,197,180,164,144,140,145,140,124,117,97,74,167,186,181,181,180,180,178,178,175,174,180,178,175,178,177,184,206,193,182,168,147,149,142,122,116,104,69,137,190,181,182,181,180,180,178,181,184,181,146,98,176,180,172,191,199,175,168,157,145,146,133,107,106,79,97,185,183,183,182,182,184,185,183,165,132,88,49,36,176,179,168,198,193,163,144,137,135,146,127,92,101,65,150,190,183,184,182,174,160,145,111,67,36,24,29,34
6,172,174,175,177,179,180,181,182,183,183,183,181,181,181,181,181,181,180,180,180,179,177,177,177,175,175,174,172,172,174,177,179,180,182,182,183,184,185,185,184,183,183,182,182,182,182,181,180,180,179,180,179,178,176,175,174,173,176,179,180,181,182,184,184,185,186,186,185,186,186,185,184,183,183,182,181,181,180,181,180,179,179,177,176,174,177,179,181,182,184,186,187,186,186,186,186,187,187,188,188,187,186,185,183,183,182,179,180,182,180,180,179,176,179,181,182,184,185,187,188,187,188,188,188,187,183,176,173,174,176,171,173,164,163,191,165,165,185,180,180,177,181,182,185,186,187,189,190,188,188,188,186,183,175,162,159,170,180,172,174,162,161,195,149,143,189,181,181,180,181,183,185,187,189,190,189,191,193,199,198,196,185,173,165,167,169,164,158,158,143,141,136,171,187,183,182,180,182,184,187,187,187,187,193,202,202,199,185,173,156,144,127,123,126,136,141,145,154,166,181,187,186,185,183,180,182,184,184,196,202,189,189,189,182,170,162,155,142,139,130,120,165,179,185,189,192,192,190,186,187,186,185,180,182,186,183,214,204,181,177,174,180,187,185,174,166,166,169,125,156,200,190,191,190,190,190,189,188,187,186,180,183,186,189,205,178,170,176,182,189,194,191,183,175,166,152,116,123,198,192,193,192,191,191,190,188,188,187,181,184,184,202,210,175,170,172,177,184,187,187,178,162,158,141,104,106,185,196,192,192,192,192,190,190,189,187,183,186,184,207,189,177,180,176,178,180,187,189,175,154,159,153,104,94,162,201,192,192,192,192,192,192,190,188,184,187,186,201,192,195,188,187,189,195,199,188,175,168,164,142,110,97,150,202,193,193,193,192,192,191,190,189,184,187,187,197,215,213,185,184,186,185,183,177,169,160,142,118,110,103,139,202,194,194,194,193,193,193,191,189,185,188,187,196,222,213,189,180,170,151,150,160,157,156,154,109,104,108,155,202,194,195,195,194,193,193,193,191,186,188,187,200,212,207,195,178,164,167,182,184,169,162,170,127,92,130,197,196,196,195,195,195,194,194,193,191,186,189,187,202,206,209,205,179,175,188,194,176,163,156,147,126,104,153,203,195,196,196,196,195,194,194,193,192,186,190,188,202,209,202,199,183,178,183,182,172,158,146,127,115,111,173,203,197,197,196,197,197,196,195,194,192,186,190,187,201,209,202,195,184,177,177,163,152,134,118,112,108,128,193,200,199,198,197,197,197,195,195,193,192,187,191,186,196,205,205,193,178,166,155,134,116,95,90,101,139,190,202,199,199,199,200,198,197,195,195,194,193,186,189,185,192,202,193,173,162,152,134,114,99,87,101,125,195,205,199,199,200,200,199,198,198,196,194,193,193,185,189,185,187,197,177,163,161,154,125,110,109,95,108,167,203,198,200,199,198,197,196,196,197,196,194,193,191,186,190,182,179,191,167,166,167,142,119,113,115,102,148,203,200,200,200,200,198,197,197,196,196,195,194,192,191,186,189,179,176,186,161,171,167,136,118,112,117,141,199,201,200,200,200,200,199,197,196,196,196,195,194,193,192,186,191,177,178,181,165,174,163,136,117,113,120,183,205,199,201,201,200,199,199,198,198,197,196,195,195,194,192,185,191,170,183,184,163,169,152,126,112,116,127,192,202,200,201,201,200,199,198,199,198,198,198,196,194,193,192,184,187,166,191,178,158,156,134,117,113,117,142,202,199,199,197,198,197,197,198,197,195,197,196,195,194,194,192
10,139,143,146,149,152,156,158,161,163,165,166,167,168,168,169,169,170,171,171,170,170,170,170,170,171,171,171,171,141,145,148,152,155,159,161,164,166,168,169,171,171,171,172,172,173,173,173,173,173,173,173,172,173,173,172,172,144,148,151,155,158,161,164,167,170,171,173,174,174,174,176,176,176,177,177,177,176,176,175,175,176,176,176,174,146,150,155,158,161,165,168,171,173,175,176,177,178,178,179,178,179,172,171,180,179,179,178,179,179,179,179,178,149,153,157,160,164,167,171,174,177,179,179,180,181,181,181,180,187,169,138,179,182,181,181,182,182,182,182,181,152,156,159,163,166,170,173,176,179,181,181,182,183,184,184,184,189,187,137,158,185,184,184,186,185,185,185,183,153,158,162,165,168,172,175,179,181,182,184,184,185,186,186,187,188,197,165,137,184,188,187,187,187,187,186,186,155,159,164,167,171,174,178,181,183,184,185,187,187,188,187,179,182,203,197,145,168,190,189,189,189,189,188,188,158,162,166,169,173,177,181,183,185,186,187,189,190,190,194,159,134,194,214,168,142,191,192,193,192,192,192,191,159,163,167,171,175,180,182,184,186,188,189,191,192,191,199,181,128,149,212,187,129,180,195,195,194,194,194,194,160,165,169,174,178,180,183,186,188,190,192,193,194,194,198,214,184,147,170,191,134,162,197,195,196,196,196,196,162,166,170,175,179,181,185,187,189,191,193,195,195,200,194,190,213,161,113,167,142,142,199,197,198,199,198,198,163,167,172,176,180,183,186,188,191,193,194,195,200,204,179,128,166,171,117,108,118,120,199,200,200,200,200,199,164,168,172,176,181,184,187,190,193,195,195,197,216,200,155,90,89,165,142,89,79,90,180,203,202,201,201,201,164,169,174,177,182,185,188,192,194,195,197,198,216,192,123,59,49,135,155,116,75,74,142,205,203,202,201,202,166,170,174,179,182,187,190,193,195,196,204,206,196,211,177,98,50,129,167,152,102,76,117,203,205,204,202,202,167,171,175,179,184,187,191,194,196,197,209,219,204,189,208,159,95,162,187,171,119,75,104,201,207,206,205,204,168,172,176,179,183,188,192,194,196,197,198,202,214,175,174,198,144,174,192,168,125,78,98,201,208,208,208,206,167,171,175,179,183,187,190,193,195,197,197,180,186,160,130,170,146,184,200,165,122,83,97,200,209,208,208,207,167,172,176,179,183,186,189,193,195,196,205,204,178,158,131,145,208,219,202,163,113,83,101,200,208,207,206,206,168,172,175,180,184,187,190,193,195,196,205,219,193,163,154,186,229,219,194,151,106,85,106,202,208,207,206,206,168,172,175,180,184,187,190,193,195,197,199,216,204,191,183,203,225,205,179,140,104,95,102,200,209,207,207,207,168,172,177,181,184,187,191,194,196,198,200,210,210,204,199,194,218,193,169,141,123,112,104,199,209,208,208,208,160,164,170,175,180,184,188,191,194,196,199,204,214,213,207,181,201,186,175,154,141,117,112,202,209,209,209,209,105,108,112,118,122,125,129,135,138,141,143,160,210,214,201,180,179,181,187,167,138,105,114,186,193,195,197,199,94,95,96,96,95,94,94,96,98,98,100,106,179,200,187,177,170,176,196,172,130,98,95,110,114,117,120,122,97,97,98,99,99,102,103,102,102,101,102,100,140,190,178,176,176,178,188,167,126,95,99,104,103,104,104,103,95,95,97,97,97,99,100,103,102,101,101,100,116,184,185,179,182,177,176,168,125,95,105,111,110,112,112,113
15,122,123,115,63,132,87,0,58,67,67,69,74,78,85,101,113,123,131,135,138,144,149,155,159,163,167,169,170,127,128,113,66,140,78,0,62,67,68,71,76,79,85,103,115,126,133,135,139,146,151,157,161,165,168,171,173,132,133,109,72,148,69,0,67,66,68,72,77,80,86,104,118,129,135,137,142,148,154,160,165,167,170,173,175,135,139,104,79,155,57,4,69,66,70,73,78,80,89,107,118,128,138,140,143,150,155,161,166,169,171,175,176,136,144,98,88,159,45,12,72,67,70,74,79,80,90,107,119,131,138,142,145,152,158,164,167,170,174,176,179,140,149,91,100,159,36,22,74,69,73,76,80,81,90,108,121,133,140,143,147,154,161,166,168,173,177,179,182,143,153,86,110,156,18,20,67,63,65,71,77,80,92,109,123,135,142,144,149,157,162,167,171,175,178,181,182,146,157,83,139,159,94,91,114,105,101,96,89,84,93,109,123,134,145,146,150,157,162,168,172,175,179,182,183,150,152,102,176,139,139,136,162,147,145,147,151,133,117,106,119,130,132,135,154,158,162,169,172,177,182,183,185,150,152,85,135,89,96,96,130,111,106,143,160,135,111,118,149,157,135,103,101,164,166,169,175,179,182,184,187,153,153,75,147,107,39,67,94,89,83,124,143,120,94,133,162,152,149,159,86,103,172,173,175,181,184,186,188,159,150,73,169,125,0,62,74,72,75,79,107,107,130,176,151,137,166,170,145,83,90,179,180,181,185,188,191,164,145,75,176,110,0,70,76,74,71,83,124,127,130,170,131,128,162,148,163,118,65,90,183,186,183,190,193,168,140,82,184,99,0,74,75,73,71,169,154,100,88,97,92,134,144,145,143,122,100,55,84,177,193,190,194,175,133,89,192,86,0,78,75,70,83,178,167,117,78,39,49,136,161,149,104,93,91,78,52,66,172,198,194,182,128,101,196,75,2,80,73,73,59,140,189,152,135,112,119,131,134,121,77,65,74,68,67,50,68,192,197,188,119,112,196,62,7,84,72,71,116,165,170,164,135,114,117,109,105,113,87,64,69,65,61,60,41,109,212,190,112,123,194,51,14,87,62,145,170,152,130,151,119,74,91,88,87,90,73,64,70,68,63,59,58,49,145,193,105,132,192,41,19,87,66,156,133,107,95,113,85,61,65,62,61,62,64,72,86,85,63,56,62,59,57,193,98,145,190,29,26,88,69,93,88,65,90,87,62,57,73,59,47,80,84,94,106,90,56,54,62,63,59,195,94,157,185,20,33,86,73,71,72,72,108,161,120,85,82,78,63,73,86,94,93,76,56,56,64,67,65,194,91,170,181,13,40,86,72,73,74,77,75,97,100,68,48,92,115,53,61,92,84,67,62,63,72,67,64,194,88,187,180,5,46,85,71,71,73,75,78,82,99,114,126,138,117,96,90,76,69,65,68,73,72,67,65,191,88,197,173,0,53,86,71,70,72,74,75,84,106,125,138,153,139,54,77,102,105,93,83,65,51,44,40,184,92,208,162,0,59,84,71,71,72,73,74,83,105,121,133,156,111,44,39,116,91,47,25,8,3,2,0,176,94,215,151,0,64,80,69,69,70,71,73,83,103,121,135,156,87,57,59,8,16,17,4,0,0,0,0,165,103,222,137,0,69,78,67,66,68,70,71,81,102,120,139,143,72,51,58,34,0,24,8,2,0,0,0,157,114,228,126,0,73,77,66,65,65,68,69,79,100,118,141,123,56,54,51,50,0,8,9,0,0,0,0
21,193,194,196,200,202,203,202,203,204,207,207,205,206,206,206,207,207,206,205,205,205,205,205,204,202,202,201,200,195,196,199,200,202,203,205,206,206,206,206,207,206,207,208,209,207,207,207,206,207,206,205,205,204,203,202,201,196,198,200,201,203,205,206,207,207,206,232,208,189,211,211,211,210,209,209,208,208,208,207,206,205,205,204,203,198,200,201,204,206,206,207,208,209,208,241,227,171,201,213,211,211,211,212,211,211,210,210,210,208,207,206,205,200,201,203,205,207,208,208,211,212,208,223,245,180,180,217,211,213,213,213,213,212,212,212,202,210,208,208,206,201,203,205,207,208,211,211,212,212,212,212,246,218,181,208,214,214,215,215,215,211,223,215,162,206,212,210,209,202,204,206,208,210,212,212,213,213,215,209,240,246,189,191,219,216,216,216,217,212,235,205,155,209,213,211,211,204,205,208,210,213,213,213,215,215,217,214,231,252,198,176,218,218,217,218,214,223,240,187,171,219,212,213,213,204,206,209,211,213,214,215,216,216,217,217,221,253,213,175,211,220,218,219,216,238,232,174,192,222,214,215,213,206,207,210,212,214,215,216,216,217,219,218,233,241,227,172,198,225,220,218,224,237,211,161,210,219,216,217,215,207,209,212,213,215,217,217,217,218,215,228,255,239,225,177,159,221,222,219,239,234,184,171,224,217,217,217,215,209,211,212,215,217,217,218,219,219,234,234,236,246,223,201,174,193,225,227,242,227,167,203,225,219,219,219,217,210,212,214,217,217,218,219,221,223,255,237,217,251,238,232,228,184,185,217,223,196,167,225,221,221,220,218,217,211,213,216,217,218,220,222,220,232,235,238,226,190,192,242,234,190,149,180,191,160,191,229,222,223,222,220,218,212,215,218,218,221,222,224,220,235,238,192,175,142,134,198,242,204,158,154,164,150,216,226,223,223,223,221,221,213,216,218,219,222,224,225,221,240,228,192,193,168,153,163,246,228,177,144,145,160,229,225,225,223,223,222,221,215,217,219,221,223,224,225,222,245,247,227,200,170,175,166,234,248,194,150,133,177,234,226,227,225,225,224,223,216,217,220,222,224,225,226,224,253,250,207,184,173,190,190,243,255,212,166,131,182,235,226,227,226,226,225,224,217,219,221,222,224,226,228,227,254,237,202,191,196,203,215,255,251,217,179,139,181,237,227,228,227,227,226,226,218,220,222,223,225,227,228,228,255,248,219,210,208,212,239,255,244,214,181,139,183,238,228,229,229,228,227,227,217,220,223,223,225,226,228,227,255,252,229,210,219,225,251,255,245,207,185,143,183,239,229,231,230,230,229,228,217,220,223,223,225,226,229,226,253,255,235,214,219,234,255,255,244,208,181,142,189,239,229,230,229,229,228,228,219,221,223,224,226,228,229,227,250,255,236,227,222,242,255,252,237,204,178,140,195,240,229,230,231,230,228,227,219,222,223,225,227,229,231,229,247,255,241,242,234,246,255,250,231,204,173,138,193,242,231,232,232,232,230,229,220,221,223,227,228,229,231,230,238,255,250,249,243,240,254,236,222,200,165,135,194,243,232,234,232,231,233,227,219,222,224,227,229,231,233,233,232,255,255,251,241,231,241,220,211,197,160,132,201,243,233,235,236,239,232,174,221,224,227,230,231,233,234,235,234,251,255,247,226,213,223,214,206,201,154,132,223,241,235,238,233,197,157,133,205,210,213,215,217,219,222,228,214,223,255,236,210,193,206,217,202,193,137,146,242,235,238,232,173,138,134,129
23,189,193,196,200,204,206,209,212,213,214,214,213,213,214,214,211,211,211,210,208,207,205,207,206,204,206,224,237,192,197,201,205,208,213,216,216,218,219,219,219,219,220,220,217,219,216,212,211,210,211,209,208,207,209,190,185,196,202,206,210,214,219,221,222,224,225,226,226,224,221,220,221,215,219,224,216,215,216,215,212,211,213,198,132,201,207,211,215,219,224,227,229,230,231,231,230,230,241,255,255,225,185,206,220,224,220,219,216,215,214,219,176,205,210,216,220,223,227,231,234,236,236,239,255,255,255,255,255,248,226,215,213,207,228,225,222,220,219,217,216,209,213,218,223,226,231,235,238,241,239,254,255,249,220,212,161,177,204,199,162,172,235,228,226,224,223,222,219,211,216,221,225,230,236,238,242,245,241,255,255,246,128,147,201,221,198,174,177,226,238,233,231,229,228,226,223,214,220,224,229,233,237,242,245,247,249,255,255,240,179,218,224,255,251,250,251,244,240,240,238,234,232,229,228,217,221,226,231,236,240,244,249,250,255,255,255,255,255,241,127,229,255,246,243,246,245,244,243,240,237,235,232,219,224,228,234,237,243,247,252,250,255,255,255,255,255,232,130,210,253,255,255,251,248,249,248,246,243,239,243,220,227,230,235,242,245,249,253,251,255,255,255,255,255,205,204,255,191,195,232,250,255,251,251,250,246,252,196,223,229,233,238,244,248,250,253,255,255,255,248,222,243,222,232,255,196,115,105,136,228,255,253,252,254,240,102,226,231,236,241,245,248,255,255,255,255,250,253,255,255,255,212,207,189,120,103,100,155,255,254,250,255,177,89,226,233,238,243,245,255,255,255,255,255,255,255,255,255,242,195,122,174,138,119,111,158,255,255,255,255,120,94,229,235,241,245,249,255,255,255,254,250,255,255,240,222,211,176,98,96,122,121,106,177,255,237,208,154,98,96,230,237,242,246,255,255,255,242,236,243,245,245,240,231,220,172,108,70,109,132,124,136,152,109,79,79,92,93,233,238,243,247,255,255,255,246,248,255,255,255,233,215,200,150,111,84,136,160,142,81,61,88,85,86,89,88,235,239,243,249,253,255,255,255,255,252,253,203,174,181,170,141,109,82,111,155,141,90,66,67,67,90,85,83,235,239,245,251,255,255,255,255,254,232,202,154,99,120,172,144,100,95,122,139,124,79,78,72,65,72,79,73,237,243,247,253,255,255,255,255,255,214,161,130,90,127,188,135,85,106,127,134,104,75,71,73,75,67,68,71,236,242,246,252,255,253,247,255,255,163,126,86,97,139,127,93,105,125,123,123,87,80,78,62,63,74,71,73,237,242,246,252,255,250,245,255,233,165,134,98,71,73,80,105,125,137,136,107,66,77,82,69,53,61,64,80,237,243,248,252,255,244,247,255,233,171,143,106,76,87,119,135,144,144,134,95,56,62,80,80,59,52,59,65,237,242,247,252,255,240,255,255,241,179,149,119,97,100,137,145,147,141,122,82,59,62,68,81,68,50,57,54,244,249,254,255,255,248,254,255,239,191,155,134,109,101,124,145,147,142,105,60,63,62,65,69,78,57,50,56,203,210,216,223,231,224,253,255,236,192,156,145,118,110,110,142,150,139,81,51,65,57,58,63,67,68,45,49,141,143,145,148,141,163,252,250,224,181,160,162,121,115,116,133,145,101,72,65,61,56,49,60,60,64,54,41,154,155,155,159,143,147,254,234,203,167,175,168,121,118,117,132,99,54,73,68,67,60,48,50,58,59,58,39
11,177,177,176,176,176,175,176,176,173,175,173,171,171,170,169,168,166,165,164,163,160,159,158,158,155,154,152,154,180,180,179,180,179,179,179,178,181,153,172,175,173,173,172,171,169,168,166,165,164,162,160,159,158,156,159,143,184,183,183,183,183,183,183,182,191,140,137,185,177,176,175,173,172,171,170,168,166,165,163,160,160,159,111,61,187,187,187,186,187,187,186,186,183,167,110,170,185,179,178,177,175,173,172,170,168,168,165,163,160,95,43,44,190,190,190,190,191,190,189,189,186,179,120,138,192,182,182,180,179,177,175,174,173,170,168,172,117,59,53,54,194,193,193,193,194,193,193,192,190,179,130,118,194,185,185,183,182,180,179,177,176,173,173,165,76,72,66,52,196,197,197,197,196,196,195,195,193,184,160,107,182,192,188,185,185,183,182,180,179,176,179,156,67,72,65,61,198,199,199,198,198,197,199,198,196,198,174,104,165,198,190,189,188,185,184,184,182,178,182,151,68,63,51,55,202,202,202,201,200,201,201,201,198,200,182,106,148,204,191,192,191,188,186,186,184,180,186,137,58,65,47,60,204,204,203,203,203,203,202,203,200,185,179,123,127,204,194,193,192,191,190,188,187,182,192,126,51,61,46,52,205,205,204,205,205,206,205,204,206,186,180,162,109,183,204,200,194,194,192,191,190,185,193,115,51,58,43,49,207,207,207,208,207,208,208,206,208,199,186,192,126,162,144,172,202,194,194,193,192,190,188,87,52,42,44,59,209,209,209,209,209,209,208,207,208,204,184,192,201,193,108,109,207,196,197,196,193,192,190,101,91,100,89,67,210,210,210,211,210,210,210,208,210,212,191,197,175,146,121,91,194,202,198,197,195,192,184,169,165,158,143,97,211,211,211,212,212,211,213,212,203,174,195,208,157,85,108,94,167,209,198,198,196,187,185,181,162,124,101,85,213,214,214,213,214,215,212,203,197,129,116,179,152,91,94,97,133,212,197,201,187,191,192,171,123,113,96,66,215,214,214,215,216,214,204,207,190,140,104,119,156,111,88,98,100,205,209,196,173,184,181,123,103,157,151,60,215,216,217,217,214,204,211,191,152,154,132,99,136,130,83,98,94,151,187,161,168,175,133,120,163,170,160,108,217,217,218,219,208,204,189,149,104,135,137,103,107,134,86,92,105,85,109,146,165,142,117,199,154,129,144,143,219,220,219,219,206,202,187,156,98,103,149,79,75,137,99,84,135,114,111,144,146,106,178,204,186,74,126,144,221,222,221,221,201,203,189,152,109,97,124,56,62,143,99,77,153,127,108,133,103,132,209,195,205,155,142,154,222,221,221,223,209,197,188,171,157,113,78,67,66,141,124,93,107,121,121,111,94,195,205,200,197,201,172,141,223,222,222,223,220,198,194,185,166,137,100,87,104,147,143,108,120,161,127,84,162,214,201,202,198,201,176,136,223,224,224,224,225,207,192,183,177,151,123,98,113,169,153,117,144,135,104,92,203,208,204,202,200,201,179,118,224,224,224,224,226,214,196,185,173,153,127,111,104,151,175,158,141,121,83,128,219,205,205,204,202,203,182,108,223,223,224,223,224,221,192,184,164,153,133,118,109,131,154,147,135,106,78,189,214,206,204,203,201,204,175,143,224,224,224,224,223,227,201,176,169,156,142,129,114,113,131,125,116,76,146,217,205,205,203,203,205,195,156,154,225,225,225,226,223,225,220,177,168,158,149,134,112,100,111,104,81,121,216,208,208,205,204,201,162,150,148,154
4,205,207,207,208,210,211,213,213,213,213,213,213,213,214,213,214,212,213,214,213,214,213,215,214,213,212,211,212,207,207,209,211,213,213,214,214,214,214,214,214,214,214,214,217,219,216,214,215,218,216,214,215,215,213,213,214,209,210,212,214,215,214,215,215,215,216,216,218,219,220,213,194,183,208,209,183,185,219,220,217,219,217,216,215,212,213,214,215,215,216,217,217,217,217,217,207,202,208,230,220,188,160,167,196,168,145,206,223,219,219,218,218,213,214,215,216,218,219,219,219,220,221,221,218,199,162,165,228,214,162,104,137,179,115,138,234,218,219,220,220,215,216,217,219,219,220,220,217,217,207,222,230,214,170,115,156,218,158,112,82,149,123,119,230,219,221,221,221,217,219,218,220,220,221,220,221,218,167,143,177,219,177,118,79,199,175,130,73,136,150,118,225,225,223,222,223,219,220,221,221,222,220,223,220,221,172,108,92,201,202,135,66,168,222,164,84,130,182,127,223,226,224,224,224,219,222,223,223,224,222,225,195,191,180,142,71,174,228,136,107,180,218,171,107,103,167,151,232,225,225,225,225,220,222,222,224,226,224,226,202,139,181,183,95,126,209,141,99,132,170,164,104,90,117,102,217,230,226,227,227,221,223,224,225,226,225,229,210,173,170,172,115,99,125,123,114,109,127,136,101,109,137,110,150,239,226,229,228,222,224,226,226,227,226,231,225,204,171,135,108,105,117,112,123,128,120,114,103,170,179,165,126,206,236,228,228,225,226,227,227,228,227,234,224,192,171,142,123,125,129,131,147,148,152,163,159,173,201,187,141,137,240,229,231,225,226,227,229,229,228,234,219,179,154,139,126,139,148,168,178,192,210,227,222,194,186,162,128,95,202,239,229,225,226,228,230,230,229,233,224,190,163,146,135,154,155,191,222,205,221,222,217,204,180,149,115,93,161,247,229,227,228,230,232,232,230,233,238,207,176,149,142,152,160,213,221,211,220,218,212,195,176,148,118,91,183,243,230,227,229,231,232,233,233,230,237,218,189,161,142,151,170,216,222,220,227,224,210,197,178,144,111,107,228,236,233,228,230,231,232,233,234,232,236,231,202,172,145,169,171,208,225,232,236,231,218,198,163,137,100,154,249,235,237,230,231,232,232,233,235,233,234,237,213,180,158,182,181,199,228,237,239,243,229,190,152,129,98,204,245,236,237,230,232,233,234,235,236,233,230,235,229,185,167,184,190,207,229,241,245,248,221,176,151,114,118,241,238,239,237,232,233,234,234,237,237,237,226,224,229,196,173,183,188,211,233,237,248,231,194,163,147,99,165,253,237,240,239,233,234,234,235,237,237,240,222,219,229,211,185,179,186,208,231,229,228,205,177,154,133,96,218,246,238,240,239,233,234,235,235,235,236,241,229,213,229,219,200,187,190,204,221,223,203,185,163,138,105,150,252,240,240,240,239,233,233,234,234,236,237,238,239,214,212,215,207,196,193,192,197,201,183,163,137,110,112,233,244,242,242,242,241,230,232,232,233,234,235,236,241,221,207,214,204,197,192,179,179,187,172,145,121,88,179,253,239,241,242,243,241,231,232,232,234,235,236,237,242,223,213,209,197,190,186,169,165,174,160,122,109,98,226,245,241,241,241,241,240,234,234,234,236,236,237,237,240,227,213,199,173,179,178,171,169,163,144,117,100,124,247,241,243,243,241,242,241,233,234,236,237,237,237,237,241,231,214,207,185,198,195,185,174,160,143,126,92,152,251,241,243,243,242,241,241
21,189,193,197,199,202,203,204,206,207,208,209,209,210,208,207,208,208,205,204,204,202,202,201,200,198,197,196,195,190,195,197,201,203,205,206,208,210,210,211,212,212,211,210,207,202,207,206,206,204,203,203,202,200,198,198,198,191,196,199,202,204,205,207,210,212,213,213,213,213,212,214,221,141,174,214,206,206,205,205,204,202,200,200,199,194,197,201,204,205,206,209,212,214,214,214,214,215,212,220,222,127,165,218,208,209,207,208,206,205,201,201,201,195,199,203,206,207,208,211,213,216,216,216,216,216,213,228,210,130,176,218,210,211,207,203,209,207,205,203,203,196,200,204,205,208,211,213,214,216,217,217,218,220,213,234,207,131,185,221,210,211,194,144,182,214,206,206,205,198,201,205,207,211,212,213,214,216,218,220,220,221,218,237,203,135,198,219,212,207,180,119,172,216,207,208,206,199,204,207,210,212,214,215,216,219,220,222,222,221,221,238,195,133,203,219,214,201,174,126,202,211,208,207,207,199,204,207,211,213,214,217,219,220,221,221,221,219,225,236,190,128,203,222,213,199,157,142,217,210,211,209,208,201,206,209,212,214,215,218,220,220,222,222,223,217,233,238,181,127,211,219,204,197,138,177,221,211,212,211,210,203,208,211,213,215,217,219,221,222,222,220,219,219,245,234,166,140,226,209,199,178,129,207,218,214,213,212,211,203,207,212,214,215,218,221,223,222,229,221,169,165,228,204,142,146,228,204,203,144,148,226,216,215,216,214,213,204,208,212,215,217,220,222,223,223,226,225,178,138,137,136,113,162,224,208,188,126,195,225,217,216,216,214,213,205,209,213,215,219,221,222,223,226,234,223,221,189,155,111,108,163,196,197,154,138,223,221,218,217,217,215,215,206,210,214,217,220,222,225,224,234,245,234,255,230,178,121,114,131,145,156,122,179,230,220,220,219,219,217,217,207,211,215,217,221,223,225,230,232,198,224,233,218,161,122,113,120,126,124,127,217,226,223,222,221,219,220,219,206,211,215,219,223,224,223,241,215,167,210,168,203,179,137,116,107,118,110,161,234,224,225,225,223,220,220,219,209,213,217,221,223,226,225,244,229,190,154,110,184,204,152,120,106,111,109,195,234,226,226,225,224,223,222,221,210,215,218,221,223,225,228,244,204,161,141,112,156,220,168,133,116,111,110,211,232,228,227,225,225,225,223,222,210,215,219,222,225,225,238,248,198,185,175,142,209,231,182,161,126,116,109,211,237,230,230,228,226,225,224,223,210,215,220,222,225,223,245,244,211,199,162,194,255,227,184,172,134,122,118,216,237,231,231,231,227,226,226,224,211,217,220,221,226,226,249,253,229,183,176,255,252,206,174,169,139,125,128,225,234,232,230,231,229,228,228,225,211,217,220,223,227,226,253,255,216,184,197,255,236,205,169,155,144,124,142,235,232,232,231,231,230,229,227,224,212,217,222,224,229,226,255,248,199,205,201,255,232,207,186,139,135,121,163,242,233,234,234,232,230,229,227,226,211,216,220,222,226,227,247,224,225,215,198,255,227,197,180,143,133,120,187,242,234,234,233,232,231,230,229,227,211,214,217,221,224,227,234,235,254,210,213,252,211,181,160,140,135,125,206,240,233,233,231,230,229,228,227,224,210,215,218,222,226,229,229,242,244,199,197,230,196,164,141,135,129,136,224,238,234,233,233,230,231,229,228,225,212,216,219,222,226,230,231,237,222,197,184,210,191,161,147,135,122,148,237,236,235,234,233,231,231,230,229,227
14,194,196,197,199,200,199,200,200,201,200,198,199,198,196,195,195,193,192,192,190,189,186,185,184,183,181,180,179,196,197,199,199,201,201,202,203,202,202,201,201,200,200,198,195,193,194,194,192,190,188,187,186,185,182,180,179,198,199,201,201,202,203,204,203,204,204,206,205,204,193,198,206,201,195,195,194,192,190,188,186,187,185,182,181,200,201,202,203,204,204,205,206,206,206,195,179,175,144,131,155,176,201,201,197,194,194,191,189,188,187,185,182,200,203,204,205,207,206,207,208,209,193,165,142,115,90,78,100,112,144,172,193,198,195,193,191,189,189,186,184,202,204,205,207,208,207,209,209,203,181,137,96,81,81,79,90,110,118,122,129,200,196,194,193,191,190,188,186,204,205,207,208,209,210,207,199,183,151,90,61,67,71,67,70,77,99,92,92,199,199,196,195,193,191,189,186,204,205,207,210,211,212,203,183,161,107,74,65,59,65,67,70,67,80,84,81,125,196,197,196,194,192,190,188,205,205,209,211,212,213,201,180,130,72,76,71,69,68,67,60,65,66,88,96,85,193,200,196,194,193,190,189,206,209,210,212,212,213,206,185,138,73,70,65,70,74,65,146,149,159,108,76,80,164,210,199,196,195,194,191,208,210,211,214,213,214,207,183,141,76,65,61,72,63,108,223,217,220,199,128,97,99,145,184,199,194,195,193,208,210,212,214,213,215,207,186,131,78,79,72,60,87,203,213,209,209,212,207,129,119,105,144,206,194,195,194,210,211,212,213,216,216,209,192,143,99,84,79,65,170,226,212,214,211,215,162,125,127,102,159,207,196,196,195,210,211,213,214,216,215,208,196,156,111,86,75,70,194,220,216,214,217,197,125,124,117,98,194,204,198,197,196,212,213,216,217,218,211,206,200,159,120,92,69,86,222,219,214,215,217,142,110,120,98,127,212,201,201,198,197,213,214,217,218,219,209,206,196,161,124,89,71,76,173,213,222,224,177,118,104,111,74,164,213,202,201,199,198,212,215,217,218,219,210,206,196,161,124,92,78,76,82,105,166,184,116,121,118,84,113,210,205,204,203,201,199,213,215,217,219,219,207,211,202,159,128,98,78,82,89,93,97,98,101,116,99,103,207,210,206,204,203,202,200,215,217,218,220,218,204,215,198,156,125,101,77,79,88,97,104,100,97,109,90,193,216,207,207,204,202,201,199,215,217,218,220,216,204,214,193,151,126,107,78,79,90,95,102,106,98,77,158,223,209,210,208,206,204,202,201,215,218,219,223,215,205,210,188,150,133,108,79,80,94,102,104,103,84,105,216,214,212,211,209,207,205,204,202,216,218,219,223,212,207,203,176,149,131,107,79,80,98,104,105,95,80,204,219,213,213,212,210,208,205,204,203,216,217,218,223,212,204,192,171,143,125,105,79,81,99,102,99,70,134,230,214,216,213,211,210,210,206,204,202,216,219,220,223,211,199,190,170,139,121,102,79,82,95,97,82,80,211,220,216,216,214,211,211,210,207,205,202,217,219,220,221,213,194,183,163,136,113,96,79,81,91,88,62,176,229,216,217,217,216,214,211,209,207,206,204,217,219,220,220,212,191,183,160,133,108,92,76,79,69,64,164,232,219,221,219,217,215,213,211,210,209,206,204,216,219,220,219,211,190,178,160,132,106,84,71,67,97,187,231,222,223,221,220,218,215,214,212,211,209,208,205,214,218,216,218,201,180,173,159,132,98,79,59,127,229,229,218,220,220,219,218,216,213,213,210,209,208,205,204
13,186,188,191,192,192,194,196,197,199,199,199,200,201,201,201,201,201,200,200,200,200,200,200,201,200,199,199,198,187,189,192,193,193,196,198,200,200,200,201,201,202,203,203,203,203,202,201,201,201,200,201,201,200,201,201,201,189,191,194,194,197,199,200,201,201,202,202,203,205,205,205,205,205,205,204,204,202,201,202,203,203,202,203,202,191,193,195,196,198,200,201,202,202,203,204,205,207,207,206,207,206,212,211,199,204,203,204,205,205,205,205,204,194,195,196,198,200,200,202,204,204,205,205,206,207,207,207,207,211,238,220,172,184,210,200,203,207,207,206,206,194,197,198,200,201,203,205,206,206,207,207,207,207,211,209,207,222,243,212,160,180,223,177,160,202,208,208,207,196,198,200,201,202,204,206,207,208,208,209,208,214,239,221,198,232,234,214,151,192,217,171,121,173,210,209,208,197,199,202,203,204,206,208,208,209,210,209,208,229,252,235,201,203,195,173,121,193,210,158,109,154,214,210,210,198,201,203,204,206,208,209,209,210,211,213,222,220,242,245,218,165,115,112,109,188,180,123,95,156,215,212,212,200,202,204,206,208,209,210,211,211,212,233,244,210,198,247,228,178,106,95,131,196,176,134,106,162,216,215,214,202,203,205,207,209,210,211,213,212,220,251,251,229,179,217,225,178,121,75,113,205,226,214,149,170,217,215,216,202,204,207,208,210,212,214,215,213,236,249,252,243,198,165,202,169,119,83,137,209,224,216,179,175,218,217,218,204,206,209,210,211,214,216,215,218,247,240,238,236,196,132,176,188,132,139,225,234,215,196,180,159,215,218,219,204,207,210,211,213,216,216,216,231,253,241,219,205,164,111,150,202,170,218,248,238,215,186,164,148,213,221,220,206,208,211,213,214,215,217,217,235,255,245,220,193,161,119,106,195,230,249,244,233,208,177,145,162,220,221,220,208,210,213,215,215,215,218,219,234,255,247,221,187,175,148,135,233,254,252,242,222,191,164,135,179,224,223,221,209,211,214,216,216,217,218,219,238,255,250,232,214,193,210,225,253,253,249,238,211,184,155,130,191,226,224,223,209,212,215,217,218,219,221,221,240,255,253,242,233,217,226,237,253,248,240,232,204,174,140,131,208,226,225,224,211,214,216,218,219,221,223,221,236,255,254,248,238,225,225,231,249,241,229,225,199,154,125,159,226,226,226,225,213,215,217,219,221,221,224,223,231,254,255,251,236,221,225,231,241,228,218,210,173,129,124,207,230,227,228,227,215,217,218,220,222,223,223,220,219,239,234,223,207,200,212,219,231,219,206,185,142,108,160,230,229,230,229,229,215,217,220,221,223,218,182,170,167,161,146,133,126,122,124,128,137,131,130,125,108,119,215,232,230,230,230,230,215,218,221,222,224,212,153,147,146,138,124,116,110,103,96,90,77,68,65,59,58,79,154,217,232,231,230,230,217,219,221,223,226,219,158,145,144,133,122,117,112,101,94,85,75,67,61,54,50,50,54,128,232,231,232,232,218,220,221,223,227,225,164,144,140,130,122,117,109,99,90,82,72,64,58,53,50,50,52,156,236,234,233,233,216,219,221,223,225,227,168,145,139,130,127,119,107,95,86,80,72,63,57,53,50,47,118,229,236,235,234,234,216,218,220,223,225,226,170,141,139,129,125,117,103,90,82,77,70,63,57,53,50,64,200,237,236,235,234,234,216,219,221,224,227,226,169,140,136,128,122,112,99,88,81,77,71,63,57,51,47,102,232,236,236,235,234,234
21,156,158,160,162,164,165,167,167,168,168,168,168,167,167,166,165,164,163,163,162,160,158,158,157,155,154,152,151,157,159,161,163,165,167,168,169,170,170,171,170,170,169,169,167,166,165,164,164,163,161,159,158,158,156,154,152,158,160,163,165,166,168,171,171,172,172,172,172,172,171,170,167,148,162,167,165,164,163,161,160,160,158,157,155,159,162,164,165,167,170,173,173,174,174,173,173,173,173,174,172,111,141,169,168,167,165,162,162,161,160,160,158,160,163,166,167,169,172,174,175,175,175,175,175,175,173,178,165,105,145,171,168,167,167,165,165,163,162,161,160,161,164,167,168,171,173,174,175,176,176,176,177,177,174,185,160,107,156,173,170,166,152,159,167,165,164,162,160,162,165,168,170,172,173,175,177,178,178,179,178,178,176,190,156,112,165,174,171,153,114,131,169,166,165,164,163,164,167,170,172,174,175,178,179,180,180,180,180,179,181,191,150,115,171,175,167,145,105,139,169,167,166,165,164,165,168,171,173,175,178,179,180,181,181,182,181,180,184,187,141,114,174,174,162,137,107,161,170,169,168,166,165,165,169,172,174,177,179,180,180,181,182,181,180,181,191,181,128,119,177,170,158,125,126,172,171,170,169,168,166,168,170,173,175,178,180,181,181,183,184,181,155,153,194,173,116,138,176,158,147,109,150,175,173,172,170,169,168,168,171,174,176,178,180,182,183,185,185,187,155,115,139,133,100,152,171,157,126,114,172,176,175,173,171,170,169,168,172,175,177,180,181,183,185,185,189,190,184,153,119,91,90,157,161,149,108,144,179,177,175,174,173,171,170,170,173,176,179,181,183,184,185,190,195,191,201,185,132,89,88,118,128,119,111,172,179,179,177,176,174,173,171,171,174,177,180,182,184,186,188,196,162,175,175,173,131,93,84,91,97,94,141,182,180,179,178,177,175,173,172,172,175,179,181,184,185,186,195,187,143,145,122,162,147,104,84,81,86,103,173,183,181,179,179,179,178,174,173,173,176,180,182,185,187,188,200,183,148,113,86,148,162,118,89,79,82,133,186,184,182,182,181,180,178,176,175,174,178,181,183,186,187,191,200,163,132,114,98,157,174,134,101,84,83,158,188,185,183,183,182,180,178,177,176,175,179,182,184,187,188,198,200,167,149,128,148,199,174,146,117,89,85,163,189,187,185,184,182,181,180,179,176,176,179,181,185,188,188,204,203,177,144,142,201,197,160,142,118,95,95,170,190,189,187,184,184,183,182,180,178,176,179,182,186,188,190,211,212,173,147,172,217,185,151,128,116,98,106,179,190,188,187,187,187,185,182,180,179,177,180,183,186,188,191,213,201,167,159,185,213,182,156,121,105,98,122,189,190,189,188,187,186,184,182,181,180,178,180,184,186,189,191,208,191,185,161,190,206,174,150,121,101,97,144,193,192,190,189,188,187,185,184,182,181,175,179,182,185,189,191,199,203,199,162,197,191,159,134,114,102,101,165,194,192,190,189,188,188,186,183,182,180,174,178,182,185,188,190,196,203,190,156,181,176,145,119,105,98,111,181,193,191,188,187,187,186,185,183,181,179,176,179,182,186,189,191,196,193,175,156,167,166,143,121,105,94,128,191,193,192,190,188,189,187,185,183,182,180,176,179,183,186,189,192,195,189,174,171,171,165,158,123,102,91,144,194,193,193,190,189,189,188,186,184,182,180,175,179,182,186,189,192,193,194,194,191,177,160,156,121,96,90,159,195,194,192,190,189,188,187,186,185,182,181
15,87,91,93,94,98,100,105,116,126,134,141,145,151,153,155,158,161,164,167,171,173,174,177,179,181,182,183,184,87,89,92,93,96,98,105,116,126,134,141,146,151,153,156,158,162,166,168,171,174,176,179,181,183,182,183,184,88,88,116,144,114,101,105,116,127,134,141,148,153,154,155,158,162,166,168,172,174,176,179,181,183,182,183,185,89,84,149,176,165,143,128,121,127,130,142,149,152,155,154,158,162,167,170,173,177,178,179,181,182,182,185,186,88,87,115,160,155,151,156,149,146,135,133,135,142,147,152,158,163,167,169,173,176,178,179,181,184,184,186,188,88,91,91,111,122,120,136,144,149,154,148,140,138,136,139,141,143,150,158,166,175,178,180,182,185,186,187,189,88,89,92,95,99,102,115,120,122,145,148,145,140,141,150,153,143,126,118,111,158,179,182,185,186,187,188,190,88,90,93,95,96,100,109,115,112,126,134,133,129,126,149,163,162,139,128,103,98,166,182,185,186,188,190,192,88,89,91,94,96,98,110,121,126,133,135,133,128,125,156,160,164,148,147,124,105,111,173,185,188,189,191,193,87,89,90,93,96,99,109,120,127,137,144,147,145,158,173,160,155,169,156,146,127,102,114,178,187,191,192,194,87,88,90,93,96,100,110,122,134,138,143,149,157,181,175,139,151,171,154,164,146,114,89,121,184,189,192,193,87,88,89,93,96,99,114,157,146,149,144,137,161,163,134,119,140,160,151,176,156,121,97,83,144,189,192,194,87,88,90,93,95,99,122,163,162,172,175,150,125,128,103,85,129,140,149,173,158,125,103,87,88,159,191,196,87,88,91,93,95,98,111,136,145,174,181,153,130,140,130,114,129,133,151,155,148,126,106,89,83,92,166,194,86,87,89,91,93,98,108,122,140,156,154,137,143,148,141,143,146,138,120,113,125,116,103,87,82,79,102,178,86,86,87,88,91,96,109,120,129,135,134,125,138,147,148,153,158,144,112,90,99,100,96,93,86,82,77,115,84,86,86,88,90,95,108,119,127,133,187,131,107,114,139,150,154,138,106,89,94,93,93,95,91,86,83,76,82,83,84,89,89,94,106,118,127,133,198,151,99,53,84,127,143,131,105,93,94,93,95,98,94,90,86,79,82,83,84,87,87,94,107,117,127,133,186,146,88,67,59,78,124,108,94,93,97,98,97,98,95,92,89,82,81,82,84,85,86,94,106,117,128,133,184,143,82,108,69,80,107,117,103,99,103,104,101,97,94,92,89,86,80,81,82,84,85,92,104,115,125,131,176,140,78,145,85,124,95,128,121,114,108,102,99,95,91,90,88,89,79,80,80,83,84,90,102,113,125,128,187,134,75,154,132,99,144,126,110,102,98,94,93,93,92,92,91,89,79,79,78,81,81,89,101,112,123,127,179,121,79,147,161,81,155,143,95,115,84,79,81,80,81,85,89,92,125,121,120,121,121,124,126,129,132,133,144,95,106,149,139,97,152,158,150,157,109,72,68,68,70,73,80,87,100,99,100,102,105,104,102,101,98,97,101,89,101,107,106,101,110,111,111,111,106,84,74,82,88,92,95,98,101,101,101,102,101,100,101,99,95,97,99,101,102,102,102,103,102,102,102,102,102,100,99,109,103,109,108,113,103,102,102,104,102,102,103,103,102,102,105,104,103,105,107,105,104,104,105,105,107,107,104,132,119,122,114,123,106,103,102,103,103,104,106,106,106,106,106,104,103,105,106,106,106,106,104,104,105,107,104,134,147,137,131,133
23,184,186,186,187,188,188,188,189,189,189,189,189,189,189,189,190,189,188,188,187,187,186,186,186,185,184,184,175,186,187,187,188,189,190,190,190,191,192,191,191,191,191,191,192,192,190,189,189,188,188,187,186,185,186,185,184,187,188,189,191,191,192,192,192,192,193,193,193,193,193,193,193,193,193,193,190,190,189,189,188,188,187,187,186,189,191,192,192,192,192,192,193,193,194,194,194,194,194,194,194,194,195,194,193,193,192,192,191,191,190,189,188,191,192,192,193,194,194,194,195,194,195,195,195,195,195,194,195,195,196,195,196,194,190,189,187,185,192,191,190,192,193,194,195,196,196,196,196,195,196,196,197,196,195,195,196,196,196,203,210,202,193,184,153,137,192,193,192,193,194,195,195,196,197,197,197,197,197,198,199,198,197,198,199,200,209,217,208,171,158,153,125,145,194,194,194,195,195,196,198,198,199,200,199,199,200,200,199,201,200,199,202,217,215,191,164,118,145,163,175,192,196,196,196,196,196,197,199,200,200,200,200,201,200,200,200,201,200,199,216,226,191,125,126,166,197,197,197,197,197,196,196,197,198,199,200,200,200,201,201,201,201,201,201,202,200,207,224,223,161,109,179,201,200,199,199,199,197,198,198,198,199,200,200,200,201,202,201,201,202,202,203,203,202,217,223,216,172,172,199,181,189,199,188,187,200,200,199,199,199,200,201,201,201,202,202,202,202,202,201,203,204,215,214,201,209,213,207,159,146,181,173,153,199,201,199,199,200,201,201,202,201,201,203,203,203,197,184,186,198,204,202,149,185,189,188,150,111,160,172,132,198,202,201,200,201,202,202,204,203,202,204,204,211,206,186,165,174,187,203,186,206,207,192,142,93,127,149,121,199,203,201,201,202,203,203,203,203,204,205,207,219,220,211,190,179,170,169,160,166,184,188,152,92,81,102,98,183,205,203,199,201,203,204,203,204,205,205,205,218,227,219,210,192,173,182,171,155,149,151,145,108,73,81,84,139,205,204,199,200,202,202,202,203,203,205,203,214,228,217,208,180,145,157,181,176,161,142,108,114,81,72,85,118,202,204,199,201,202,202,202,203,204,206,202,214,227,223,213,156,116,105,147,157,143,119,89,111,86,67,85,150,204,202,201,202,202,203,203,204,204,206,200,214,228,230,210,149,97,68,107,159,127,85,95,122,92,69,105,188,204,202,201,201,203,204,203,205,205,206,198,215,231,225,195,151,104,56,118,143,98,63,115,127,93,78,157,205,203,203,200,201,202,202,203,205,205,205,199,218,230,215,182,145,108,62,104,109,54,64,127,116,82,108,197,206,204,204,201,201,201,202,203,205,206,204,204,222,227,206,174,140,107,60,89,85,42,93,122,92,78,159,207,205,205,205,202,202,202,203,204,206,207,203,209,226,220,194,167,141,111,66,81,72,52,107,102,77,100,194,208,206,206,205,169,170,173,176,179,184,188,188,209,218,208,180,158,139,112,70,74,72,73,91,87,83,153,207,208,208,208,207,106,105,105,108,111,111,110,135,204,211,197,167,155,150,112,76,67,78,97,94,84,92,147,160,163,166,168,170,103,102,101,101,102,102,100,129,202,206,189,165,166,160,110,86,73,88,106,104,92,95,97,98,101,100,102,110,103,104,104,103,104,104,103,140,205,202,190,174,176,163,118,94,82,93,102,98,97,104,104,107,114,132,160,183,103,105,105,105,105,106,102,152,213,211,202,186,181,163,125,97,86,91,97,96,105,114,132,165,190,205,202,206
10,146,150,153,157,159,162,164,166,166,167,168,169,170,170,170,171,171,170,171,171,171,171,172,171,170,170,169,168,149,152,156,159,162,164,167,169,169,170,171,172,173,173,173,173,173,173,173,173,173,173,174,173,173,172,172,171,152,155,159,162,165,167,170,172,173,173,174,175,176,176,176,175,177,177,177,177,176,176,176,177,177,176,175,174,155,158,162,165,169,171,173,175,177,177,179,179,178,180,177,149,176,181,180,179,178,180,180,180,180,179,179,177,157,160,164,167,171,174,177,178,180,180,181,181,181,184,187,135,154,184,182,181,181,182,183,183,183,182,181,180,160,163,167,170,173,177,180,181,181,183,184,185,185,185,194,164,132,179,185,184,185,185,186,185,185,184,183,182,162,166,169,173,176,179,181,183,184,185,185,186,188,188,196,189,143,161,189,187,187,187,188,188,187,187,186,185,164,168,172,175,179,181,183,184,186,187,187,187,183,178,195,211,173,139,186,190,189,190,190,190,189,188,188,187,166,169,174,178,181,184,185,186,187,189,189,193,178,130,164,216,197,136,167,194,193,194,193,193,192,191,189,189,167,171,176,180,183,185,187,189,190,191,192,196,195,144,120,196,205,151,141,194,194,195,195,195,194,194,193,192,170,174,178,180,184,187,189,191,193,194,194,196,211,196,153,154,190,168,125,192,196,197,198,197,197,196,195,194,171,175,179,182,185,188,190,192,194,196,197,205,192,218,188,128,138,172,115,183,198,199,199,199,199,198,197,196,173,176,180,183,186,190,192,194,194,198,206,201,155,157,186,136,99,123,104,165,201,200,200,200,200,200,200,199,173,176,181,184,187,191,194,195,195,210,215,187,137,80,150,159,106,78,81,124,200,203,202,202,201,201,202,201,174,177,181,185,188,193,195,196,197,210,219,159,98,41,100,156,130,85,71,92,185,205,203,203,202,202,202,202,175,179,183,187,190,194,195,200,208,196,214,177,113,46,80,150,154,121,81,81,166,207,204,205,205,203,202,202,175,179,184,188,192,194,196,202,219,208,196,209,175,91,96,172,171,146,91,75,155,209,206,207,207,205,204,203,176,179,183,188,192,195,196,199,203,218,195,179,194,153,142,193,178,151,99,72,150,211,208,208,208,206,206,205,175,179,183,187,191,194,195,198,184,189,182,140,172,176,137,199,180,146,105,74,145,211,209,208,208,207,206,206,176,180,184,187,190,194,195,199,206,183,163,139,128,170,189,212,186,144,99,77,145,210,208,208,207,206,206,206,176,180,184,187,190,193,195,199,217,206,168,151,150,213,226,213,180,134,95,79,151,211,208,207,207,206,206,207,176,180,184,187,190,194,196,198,210,215,187,180,178,225,220,200,168,122,95,83,145,211,209,208,208,207,207,207,178,182,185,189,191,194,196,199,206,215,199,204,188,220,210,183,157,123,110,93,138,211,209,209,209,208,208,207,171,176,181,184,189,192,194,197,200,211,210,213,190,200,201,178,160,135,130,101,146,212,210,210,210,209,208,208,113,117,122,124,129,135,139,141,146,197,217,212,195,177,189,178,173,148,131,99,144,192,193,196,197,199,200,201,96,96,96,94,95,96,98,99,100,153,209,200,186,171,174,182,187,152,119,94,101,112,114,117,120,122,123,125,99,99,99,102,104,104,102,101,102,115,188,184,176,169,170,184,187,149,112,92,103,105,103,104,104,103,102,102,98,98,99,101,102,104,103,101,102,102,166,183,176,172,178,177,179,148,109,92,112,111,109,113,112,112,112,114
6,206,208,209,211,212,211,212,212,213,214,214,214,214,214,214,215,214,213,212,210,210,209,208,207,205,204,203,202,208,209,210,212,213,213,213,213,213,215,216,216,215,215,215,215,215,215,214,212,211,211,210,208,207,206,205,205,209,210,212,213,214,215,215,215,215,216,216,215,215,216,218,218,217,216,216,215,214,213,211,211,210,208,208,207,211,212,214,214,215,217,217,216,216,216,216,216,217,218,218,218,217,217,216,215,215,214,213,213,211,210,209,207,214,214,215,216,217,217,218,218,218,218,218,218,218,219,220,220,220,220,219,218,216,215,214,214,212,211,209,208,215,216,217,218,218,219,219,220,220,220,221,221,220,220,220,221,221,221,220,220,218,217,216,215,214,214,212,211,215,217,219,219,220,221,222,222,221,221,222,223,222,222,222,223,222,223,222,221,219,218,216,215,214,214,213,213,217,219,220,220,221,222,223,223,223,223,224,224,224,223,223,223,223,223,223,223,220,219,219,218,216,215,214,215,218,220,221,221,221,224,223,224,224,224,225,225,223,222,223,223,223,222,222,222,220,219,218,218,215,215,213,215,220,221,223,222,223,224,224,226,227,230,230,226,217,202,207,217,221,218,218,218,217,212,213,211,208,213,203,230,221,222,224,225,226,228,228,229,224,223,224,222,213,192,169,194,209,214,214,213,202,204,203,203,203,204,196,206,226,229,228,225,223,223,222,220,215,215,217,218,220,203,152,144,156,166,172,175,176,173,172,175,176,177,178,183,239,236,228,218,215,215,214,210,205,206,203,199,195,176,147,135,124,127,162,180,191,196,201,208,213,213,215,218,238,234,227,215,209,204,198,198,199,197,192,190,191,169,139,133,138,140,176,221,229,228,227,228,226,225,223,216,235,230,223,213,203,195,193,193,195,195,196,203,213,192,142,122,131,145,140,163,215,230,228,229,228,228,207,160,230,224,217,211,200,190,184,183,189,195,202,205,202,185,153,137,133,135,140,138,162,227,231,230,228,225,159,131,225,219,216,214,203,193,186,182,185,188,196,207,193,165,152,151,149,142,133,133,146,221,230,229,229,206,139,130,221,215,214,212,205,198,191,187,187,185,186,198,201,167,134,136,157,159,146,129,164,230,229,230,204,146,122,108,208,207,207,207,205,203,196,191,190,190,192,204,198,165,140,128,137,153,157,142,161,216,194,178,145,116,107,94,151,162,179,198,209,210,204,197,193,190,190,199,196,168,149,151,146,137,141,144,141,148,133,123,111,101,92,86,76,81,103,148,201,209,204,198,194,189,184,179,180,167,164,166,158,149,140,123,115,117,123,118,108,98,86,80,65,60,58,69,132,191,189,180,175,173,171,160,151,137,139,157,163,161,145,115,88,95,109,104,100,97,92,82,58,54,53,54,59,118,182,189,194,200,208,210,154,116,115,131,153,146,133,117,87,78,95,96,92,93,96,87,52,48,45,44,51,159,214,218,222,224,226,227,204,166,157,151,145,108,122,115,84,70,76,88,87,86,93,92,48,43,39,35,68,145,149,151,152,154,156,159,161,160,161,157,133,90,114,112,80,64,68,78,80,82,89,91,44,40,38,36,64,128,129,128,129,129,131,132,130,130,144,145,118,80,107,104,76,60,68,71,74,77,82,86,45,43,42,33,68,136,137,136,136,136,133,134,137,140,129,119,106,79,98,95,73,57,62,69,70,72,76,81,51,49,40,27,87,139,137,137,138,139,136,136,135,125,111,98,94,82,90,91,70,58,58,65,65,69,72,78
13,165,168,173,181,187,191,195,197,200,203,207,209,212,215,216,218,220,220,220,221,222,223,222,222,222,222,220,221,166,170,176,183,190,193,197,199,201,204,209,212,214,217,218,217,218,221,226,224,224,223,223,224,225,223,223,223,168,172,178,186,191,195,199,202,205,207,211,214,216,217,223,235,236,194,179,225,224,231,225,227,227,226,225,224,170,174,181,188,193,198,201,205,208,210,214,216,220,222,227,255,248,187,125,133,168,185,229,227,227,226,227,226,171,176,182,188,194,198,202,206,209,214,214,219,224,184,181,201,244,185,123,100,172,128,155,239,227,229,228,227,173,177,184,189,196,199,202,208,210,214,213,255,243,197,155,152,226,225,146,113,182,126,125,239,229,230,230,228,175,179,185,191,198,202,205,207,214,217,165,211,255,237,190,108,160,249,157,110,191,129,144,244,230,232,230,230,175,180,186,193,199,204,207,205,246,234,174,116,221,255,209,133,83,186,154,109,224,141,173,245,231,234,233,232,176,181,188,196,201,206,204,238,249,249,215,134,128,255,202,141,62,83,98,102,211,136,216,241,234,235,234,235,177,183,192,198,202,204,223,239,196,246,230,160,85,222,192,128,67,63,103,145,165,117,175,248,234,236,237,236,178,185,195,200,204,207,253,239,184,215,204,146,80,184,192,140,64,92,169,181,156,141,123,230,241,238,239,237,182,188,197,204,204,221,250,216,173,199,176,126,62,156,220,156,81,190,217,187,140,124,122,171,251,237,238,238,183,191,201,207,205,241,244,212,164,169,165,125,52,113,221,131,147,240,209,180,143,123,112,149,255,239,240,241,184,193,204,209,206,247,255,228,189,140,153,114,61,106,215,188,229,225,197,165,137,117,91,192,251,240,244,244,187,197,208,214,210,255,255,232,199,146,124,122,156,215,247,251,240,212,181,151,133,102,110,243,244,244,245,245,193,202,210,218,216,255,255,241,198,178,178,183,204,234,246,240,230,199,169,146,122,84,163,255,242,246,246,245,195,205,213,220,222,255,255,254,209,202,198,177,222,226,246,236,215,188,163,137,113,78,207,255,245,247,247,246,199,209,217,223,227,255,255,255,227,216,203,188,234,235,234,224,196,172,146,129,92,110,255,250,249,249,248,248,202,211,222,227,229,243,255,255,239,221,202,196,224,241,220,201,177,157,142,116,85,218,255,250,251,251,252,251,205,214,224,229,232,235,255,251,246,227,212,202,210,232,215,187,165,144,135,92,193,255,251,254,254,254,252,251,208,217,225,230,237,232,250,254,247,241,232,210,203,223,208,173,146,139,107,155,255,255,255,255,255,253,255,255,210,220,230,234,241,232,242,255,246,243,234,206,197,207,193,158,130,125,115,250,255,255,255,255,255,255,238,176,213,224,232,237,241,236,242,247,215,219,221,202,191,197,177,153,132,101,194,255,255,255,255,255,255,185,88,65,215,225,233,238,243,240,244,251,212,228,231,221,192,188,169,157,125,108,245,255,255,255,255,255,168,79,65,53,216,225,232,237,242,239,238,255,226,240,241,223,191,178,169,159,120,121,255,255,255,255,228,138,73,80,82,43,216,227,234,239,243,245,239,255,247,255,250,226,197,178,168,160,115,131,255,255,255,203,87,62,52,76,88,57,219,230,237,241,244,249,220,255,255,255,244,218,199,182,169,157,112,120,255,255,247,108,81,82,47,50,80,72,220,231,238,242,246,251,139,249,255,249,234,213,202,184,173,146,114,84,255,255,146,88,79,77,57,34,66,77
6,192,193,196,197,198,200,200,201,200,200,200,200,199,198,197,196,196,195,194,193,191,190,190,188,189,188,186,185,193,196,198,198,198,200,201,202,201,200,201,201,201,200,198,197,197,196,196,194,192,192,191,191,191,189,187,186,195,197,199,199,201,202,202,202,202,202,202,202,202,201,200,199,200,198,197,196,196,194,193,192,191,190,189,187,197,199,200,200,203,202,203,203,203,204,204,203,202,202,202,200,200,199,198,198,198,196,194,193,192,191,189,188,197,200,202,201,203,204,205,205,204,205,205,204,204,203,201,201,200,199,199,199,198,197,195,194,193,192,191,190,198,201,203,203,204,205,205,206,205,205,205,204,204,203,202,204,203,202,202,203,201,202,200,197,194,194,192,190,200,201,204,204,206,208,207,206,206,206,207,208,207,206,204,203,200,196,189,184,185,178,172,168,167,149,173,186,203,203,205,205,206,208,208,208,208,207,205,194,187,190,188,176,162,150,134,147,160,167,153,152,152,130,175,187,203,205,206,208,208,208,209,210,210,197,186,159,152,155,158,167,157,145,138,140,153,161,146,141,134,119,133,148,203,205,208,209,209,210,211,208,205,196,184,168,155,143,113,132,139,135,117,103,109,103,103,105,113,120,137,165,205,206,208,209,210,212,208,205,196,183,179,168,165,164,112,80,79,76,80,113,140,159,171,185,197,198,201,200,206,208,210,212,212,207,197,199,180,167,173,173,178,145,99,83,67,131,179,203,212,211,209,207,204,202,199,197,206,209,212,210,203,195,193,183,174,171,168,175,176,131,86,84,78,123,219,208,205,203,203,203,203,202,201,199,207,210,208,203,196,194,187,180,178,170,166,174,166,155,122,85,83,66,140,220,206,206,205,205,204,202,201,200,210,204,201,201,196,191,181,177,174,168,165,166,167,168,141,97,78,84,77,191,213,206,206,205,204,204,202,201,184,209,202,196,188,186,177,171,167,163,162,163,169,167,131,95,82,85,65,157,221,206,207,206,205,204,205,203,88,148,210,203,186,178,170,164,162,160,159,161,166,167,143,103,78,80,83,198,214,209,208,208,208,205,204,203,87,74,114,184,186,172,171,168,164,163,164,162,168,167,158,120,81,76,82,203,214,211,209,209,208,207,205,204,83,85,60,75,152,184,168,163,163,161,166,167,166,167,153,113,84,86,69,183,221,210,210,209,208,209,206,205,81,66,63,53,65,137,162,163,165,164,159,151,148,144,123,105,91,89,81,202,219,212,212,210,209,208,207,205,65,59,57,61,57,55,114,157,161,156,148,137,129,120,107,100,98,97,69,149,228,212,213,211,210,209,208,205,58,63,62,59,55,54,50,100,156,158,144,131,121,131,123,95,97,97,64,149,227,212,214,213,211,210,208,206,59,64,65,58,51,56,53,43,95,140,128,115,98,114,94,80,93,95,140,216,217,215,215,213,211,211,210,208,61,64,59,54,50,52,46,47,43,91,94,91,136,200,181,162,183,202,223,219,218,216,216,215,214,212,210,209,60,59,50,48,47,46,44,42,44,27,99,203,226,230,230,230,227,224,218,219,218,217,216,215,214,212,210,209,61,49,46,44,46,43,40,40,35,68,218,230,221,222,221,219,219,219,219,217,217,217,215,214,213,211,210,208,55,42,44,44,41,38,38,40,25,120,241,218,223,222,223,221,221,219,217,217,217,216,215,214,213,211,210,206,49,46,45,37,43,43,32,41,27,152,238,222,224,222,222,222,221,220,219,218,217,216,215,215,215,213,208,205
15,87,87,88,88,92,93,94,97,100,108,119,128,136,141,146,151,153,156,159,162,165,169,171,173,174,177,179,180,87,87,88,87,90,91,91,95,99,109,119,128,136,142,147,151,153,156,159,162,165,169,172,173,175,178,180,181,88,87,87,88,89,94,108,99,98,109,120,129,138,143,148,153,154,156,160,164,166,170,173,174,177,180,183,183,88,87,87,88,83,125,171,142,117,113,118,129,138,145,150,155,156,157,159,164,167,171,174,176,178,180,182,182,89,87,86,88,85,128,177,170,156,146,134,135,132,140,147,153,156,157,161,165,168,171,174,177,179,180,182,183,88,88,88,89,89,97,138,143,140,151,151,152,144,137,134,138,142,147,154,161,168,172,176,178,179,181,183,185,87,88,87,88,91,91,98,109,112,127,135,141,155,152,145,142,140,143,143,138,139,145,158,179,181,183,184,186,87,88,87,88,90,92,93,96,102,111,116,116,137,144,142,137,140,153,160,149,129,115,104,147,181,183,185,187,88,88,88,89,91,94,95,96,101,111,119,123,130,134,132,127,126,154,163,163,144,131,104,97,160,185,185,188,87,88,88,89,90,93,94,95,100,111,121,130,138,142,141,136,139,165,164,164,155,148,128,107,109,170,187,188,87,88,88,88,90,91,94,96,101,110,120,131,138,146,152,152,172,174,155,158,169,158,150,130,100,113,176,189,88,88,89,89,91,91,94,96,100,113,137,139,141,140,147,167,178,164,132,158,168,159,169,145,112,88,122,185,88,88,89,89,91,91,94,96,97,134,166,155,159,154,138,146,146,119,105,148,151,156,177,152,119,95,86,137,88,88,88,88,89,91,93,95,99,129,152,161,180,177,146,123,128,108,87,137,135,157,172,152,125,102,86,87,87,86,86,87,89,91,92,95,99,112,129,146,173,170,142,138,144,135,126,132,134,142,148,141,122,101,87,83,86,86,86,86,87,90,91,93,99,111,123,136,147,139,134,149,150,145,149,151,137,111,106,117,109,97,87,82,85,84,84,86,87,87,89,91,98,112,122,128,140,148,124,135,146,153,159,159,139,103,89,96,96,93,92,85,83,83,83,85,86,86,88,90,98,111,121,129,150,193,131,92,93,133,149,153,132,100,90,93,93,94,96,91,82,82,83,83,84,86,88,90,98,110,120,128,149,189,133,79,52,77,124,138,118,99,96,95,94,95,98,95,82,82,83,83,83,85,87,88,98,111,120,127,145,180,125,73,81,63,85,121,104,94,96,99,100,98,97,95,82,82,82,82,83,85,86,88,96,109,120,127,144,178,117,85,100,83,96,117,126,111,109,107,104,101,97,93,80,80,80,80,81,83,85,87,95,107,117,128,141,181,106,97,126,104,132,112,133,120,112,106,100,97,95,91,78,78,78,78,79,81,83,84,93,106,116,126,146,184,94,107,166,89,151,145,120,99,98,93,92,92,92,91,84,82,83,83,83,83,85,86,94,106,116,125,141,150,88,122,169,87,144,166,129,122,121,80,75,78,77,79,128,126,124,121,119,119,121,121,123,124,126,129,135,122,105,139,138,108,146,154,154,158,153,102,72,71,71,74,105,103,102,100,101,101,104,106,104,103,101,99,102,100,103,109,107,105,110,111,112,110,110,103,83,82,90,94,103,102,102,100,101,100,101,100,100,102,101,98,99,101,102,102,101,103,105,103,102,101,102,103,102,106,113,107,104,103,103,102,101,102,104,102,102,104,106,105,104,106,104,103,104,105,107,105,106,105,106,108,107,111,136,119
5,168,169,173,176,176,175,176,177,178,177,180,178,180,180,180,178,184,171,179,178,176,175,173,173,172,169,169,168,170,173,176,177,177,177,180,175,197,185,143,186,181,181,182,178,212,133,170,183,180,177,175,175,174,172,171,170,172,174,177,180,179,182,183,178,193,219,122,181,186,183,181,189,223,117,165,187,181,181,179,177,176,175,174,174,175,176,178,182,181,181,186,183,188,232,132,170,191,186,179,215,199,113,183,186,183,183,182,180,178,177,177,175,177,180,181,182,186,207,150,182,189,243,157,161,195,186,189,231,160,124,196,184,186,185,184,184,183,180,179,177,179,182,183,186,181,225,147,158,194,247,186,153,198,182,214,225,135,154,196,187,190,186,185,186,185,183,181,180,182,183,184,189,180,224,181,136,201,240,178,146,196,192,221,187,115,179,194,191,191,189,187,187,185,183,182,183,184,185,188,190,183,219,221,140,195,229,166,133,198,200,201,128,131,201,191,193,192,191,190,189,188,185,184,184,184,187,190,191,187,203,247,162,179,229,188,137,192,192,182,105,171,201,194,194,194,192,191,191,190,189,187,187,187,188,190,193,192,197,247,195,147,228,188,148,159,170,169,119,192,199,195,196,197,193,193,192,191,191,190,188,188,189,191,193,195,194,239,241,165,195,181,162,114,143,146,134,200,199,198,198,198,196,195,195,193,191,189,188,189,191,193,195,197,194,218,247,235,176,150,163,108,116,119,156,206,200,201,196,195,194,194,192,192,193,193,192,191,193,196,197,197,198,200,240,247,223,141,135,117,110,99,170,206,196,203,210,216,218,218,209,195,194,180,182,193,196,197,198,199,201,198,219,247,243,196,123,108,109,101,128,177,191,185,164,176,194,177,180,195,180,127,161,195,196,198,199,201,203,203,202,241,247,210,141,110,107,103,113,135,160,135,101,126,141,139,157,166,164,127,188,196,199,200,201,203,205,206,202,227,247,207,141,111,103,101,113,108,100,112,170,206,202,206,203,201,174,141,198,197,199,201,203,205,206,208,204,226,247,208,147,115,100,104,103,101,162,203,213,206,208,198,198,185,138,188,202,198,200,203,204,205,208,209,205,234,247,209,154,119,104,99,78,183,226,209,207,210,198,183,201,139,161,211,197,198,202,205,206,206,208,209,207,239,247,203,151,118,102,93,92,149,182,208,210,190,183,188,179,113,182,208,202,200,203,206,208,207,207,209,212,246,243,194,151,113,93,91,104,99,117,142,156,164,183,184,135,143,207,208,197,201,204,205,207,208,210,207,219,247,237,192,145,109,88,90,96,107,132,133,143,169,162,136,163,210,212,165,114,199,203,205,206,208,210,206,226,247,232,183,136,113,91,96,103,127,148,141,138,147,124,174,213,210,194,107,105,201,204,206,208,209,211,208,235,247,219,168,143,124,95,103,125,142,147,145,121,114,186,216,204,216,172,100,104,203,205,207,209,211,211,211,244,247,206,165,156,130,96,106,134,145,144,133,124,197,218,207,220,179,98,89,75,203,205,208,212,214,211,220,247,244,204,174,158,130,97,104,133,134,134,113,193,223,211,218,206,119,87,83,65,204,207,208,211,211,208,233,247,239,213,184,151,119,90,95,119,122,104,166,224,213,222,174,114,93,82,66,55,208,209,212,213,217,216,244,247,236,213,165,112,85,64,71,83,100,158,223,219,222,160,103,95,87,78,67,52,188,192,196,199,175,196,247,242,218,183,116,67,55,44,53,37,122,234,217,220,153,90,92,85,75,72,75,61
10,182,183,183,184,184,185,186,186,186,186,187,186,185,185,184,183,183,182,180,180,177,186,178,147,174,172,171,170,185,186,187,188,188,188,189,190,189,190,189,189,189,188,187,187,186,184,184,183,178,195,187,129,169,175,172,172,189,190,191,192,192,192,193,193,194,194,192,192,193,192,191,191,189,188,187,187,182,198,188,131,165,181,175,174,193,194,195,195,196,196,196,197,197,196,196,196,196,195,195,193,192,192,190,190,185,201,180,126,164,185,178,177,197,198,198,199,199,199,199,199,200,200,200,201,200,199,198,197,196,195,193,193,189,203,184,129,164,188,181,181,200,200,201,202,203,203,203,203,204,204,203,204,204,203,202,201,199,197,197,196,193,210,188,133,168,191,184,183,202,203,204,204,205,206,206,206,206,206,205,206,207,206,205,204,202,201,200,198,198,215,181,168,171,192,187,185,205,206,206,207,207,208,209,209,209,209,209,209,209,209,207,207,206,205,203,202,204,210,195,187,132,194,190,188,206,208,209,210,210,211,211,211,210,210,211,211,211,211,210,210,209,208,205,202,182,175,201,186,116,181,198,190,210,210,211,212,213,212,212,213,213,213,212,213,214,214,214,212,210,211,211,213,204,177,161,173,135,126,202,193,212,212,213,214,215,215,215,216,216,215,216,216,216,216,216,215,213,204,190,202,216,193,167,140,143,113,158,204,215,215,216,217,217,217,218,217,217,218,218,218,217,218,215,213,218,197,166,140,159,204,203,173,125,122,127,205,217,217,218,218,218,219,220,219,219,219,220,220,218,219,202,168,183,215,191,151,84,155,200,147,114,108,135,207,218,218,219,220,220,220,221,221,221,221,221,221,220,218,209,187,154,204,212,172,109,88,113,150,136,107,143,212,219,220,221,221,221,222,222,222,222,222,222,222,221,211,211,211,178,169,218,180,139,97,98,180,174,114,148,214,221,221,222,223,224,223,223,224,224,224,224,223,221,198,175,203,189,136,185,191,142,103,120,176,189,124,143,214,222,222,223,224,225,225,225,226,226,226,226,223,221,208,158,156,177,114,139,195,142,109,129,173,180,121,139,215,222,224,225,226,226,226,226,227,227,226,227,226,214,198,175,144,159,135,123,188,183,135,133,175,148,108,156,218,223,226,226,226,227,227,227,228,228,227,228,225,219,223,203,157,151,157,128,170,201,154,124,158,131,104,190,216,225,226,226,227,228,228,228,228,228,229,229,228,218,227,210,181,158,151,148,193,190,137,120,145,123,118,214,212,226,227,228,228,228,229,230,229,230,231,232,232,219,223,219,193,168,161,175,223,215,179,149,143,115,143,223,211,226,228,229,229,229,230,231,231,231,232,233,233,222,211,214,200,179,171,177,218,215,194,163,142,107,172,223,212,225,226,228,229,229,228,228,230,231,232,232,233,226,208,212,205,197,183,178,213,208,182,150,131,110,203,220,215,226,226,227,228,228,229,229,230,232,232,232,232,233,210,201,209,205,186,169,199,190,167,142,112,133,223,213,214,227,227,228,230,230,231,232,232,233,233,233,232,234,223,195,202,197,183,163,177,177,153,131,99,178,225,213,214,228,228,229,230,230,231,232,231,231,232,233,232,232,232,209,200,191,178,163,163,176,153,117,124,220,218,216,214,226,229,230,232,233,235,236,235,236,237,237,238,238,234,216,202,188,183,175,163,172,149,105,172,228,216,217,220,165,166,170,174,177,181,186,189,192,196,199,203,208,207,211,206,191,196,181,167,167,139,106,193,222,215,211,178
16,72,72,73,74,75,85,96,107,116,123,130,136,139,140,142,147,151,156,160,163,167,170,171,174,176,178,181,183,71,71,73,73,75,86,97,107,116,123,131,137,138,140,142,145,151,156,160,164,167,170,172,175,177,178,181,183,70,70,72,72,74,86,97,107,114,122,130,136,138,137,141,145,148,154,159,163,165,169,170,174,177,179,181,183,69,70,73,72,74,87,96,106,116,125,131,135,137,138,137,147,152,154,157,162,165,168,169,173,177,178,181,183,70,69,72,72,76,87,97,106,115,120,127,129,152,158,128,114,135,158,164,160,163,168,172,174,177,179,182,184,70,69,71,70,75,86,96,107,110,131,139,155,175,154,130,107,85,97,136,166,170,169,171,174,178,180,182,183,68,69,70,69,73,84,97,97,129,184,171,173,161,133,115,112,94,74,65,98,145,166,175,178,177,178,181,182,68,69,70,70,72,85,92,101,180,179,158,150,142,124,108,93,91,84,71,64,70,94,122,150,175,184,181,182,66,68,69,68,72,82,92,175,180,146,138,132,121,111,92,82,85,90,76,74,69,65,65,74,105,153,183,187,66,67,70,67,73,69,134,185,143,132,123,110,98,87,80,80,73,97,84,81,75,69,65,63,62,74,117,169,61,60,62,60,62,118,149,139,126,119,101,88,79,72,77,66,65,93,92,100,79,73,65,62,65,65,60,82,107,102,104,97,127,170,131,120,114,95,80,75,64,68,72,44,68,95,100,102,84,77,65,62,61,64,66,60,99,103,102,101,187,170,135,107,86,78,71,60,56,68,52,31,81,97,101,104,89,81,68,67,61,61,64,64,95,100,83,132,191,156,119,87,62,59,52,47,57,51,21,29,85,94,99,114,103,92,75,69,60,60,62,61,104,100,108,181,164,136,92,67,50,55,40,30,25,16,9,17,81,90,105,129,121,102,88,63,58,61,60,57,106,91,154,162,130,102,71,53,46,49,24,8,6,4,6,8,70,91,112,138,110,106,95,57,56,58,57,55,96,121,174,136,95,69,56,49,50,48,32,6,2,3,3,1,46,84,131,129,87,108,95,54,56,53,56,55,97,170,157,108,70,46,46,51,56,56,58,40,6,9,15,17,12,105,150,104,79,99,77,53,56,54,56,52,137,159,113,74,55,74,58,57,60,62,61,54,36,38,39,24,51,156,128,85,74,75,57,53,53,54,51,49,165,111,76,44,80,99,73,82,72,69,64,55,50,50,46,31,130,148,107,74,62,55,49,54,52,50,52,56,122,78,45,66,96,78,78,78,75,69,64,57,49,48,29,75,167,130,89,61,52,47,48,50,46,51,58,58,81,51,68,102,102,97,95,79,68,61,65,52,51,64,68,138,168,133,70,50,47,49,51,49,51,56,55,55,86,86,101,102,104,104,103,102,95,90,96,92,95,104,98,168,171,138,66,34,42,55,53,52,53,54,56,56,105,103,101,101,103,104,103,105,104,106,104,106,105,104,99,170,176,143,79,42,85,68,63,59,57,59,58,59,102,100,101,102,103,103,103,103,102,102,104,104,104,106,96,146,161,130,70,89,131,79,73,73,71,69,62,59,101,102,100,102,104,102,101,102,103,104,103,104,105,107,100,113,137,98,67,96,139,119,84,77,82,83,74,62,102,102,101,101,103,103,102,102,103,103,102,102,105,105,103,103,109,84,82,97,119,153,117,103,99,98,88,76,101,101,102,102,103,103,102,103,103,103,103,104,106,105,105,105,105,104,105,101,102,164,141,124,115,107,98,86
16,193,194,196,196,196,196,197,198,199,198,197,198,199,199,198,197,198,199,200,201,199,199,201,200,200,200,200,197,194,195,196,197,198,197,198,200,199,199,198,200,201,198,202,204,204,203,199,202,201,201,201,202,200,201,200,199,195,196,197,199,199,197,198,199,200,201,202,202,199,199,179,175,170,187,211,205,201,202,201,200,200,201,201,200,195,196,197,199,199,199,199,200,199,198,191,185,201,213,171,149,141,115,142,196,209,203,201,201,202,202,201,201,195,197,198,199,199,201,202,201,202,196,174,178,216,216,189,171,155,123,84,93,152,204,207,200,202,202,201,201,196,197,199,200,202,200,195,183,221,214,182,196,220,207,193,182,157,108,104,85,76,109,191,209,200,203,203,202,199,199,199,200,199,212,195,188,212,208,190,199,221,192,181,173,149,93,104,93,87,78,95,189,211,203,204,203,199,200,200,201,198,223,210,190,205,203,201,193,208,178,174,162,134,91,92,85,87,90,76,89,199,207,204,205,198,198,200,200,199,207,205,187,201,210,207,197,205,182,172,154,117,88,82,79,83,88,88,67,120,217,205,206,196,198,199,202,208,198,204,204,196,209,209,200,217,197,175,144,106,82,72,75,84,87,83,81,74,193,210,206,197,199,197,209,208,195,205,217,202,202,208,202,215,200,173,132,97,75,57,76,87,90,91,82,69,175,212,202,198,199,198,202,205,204,199,212,200,203,213,209,210,198,162,116,90,51,51,76,88,95,101,86,76,194,208,203,199,200,201,200,204,215,207,213,219,174,215,218,207,201,159,103,64,18,50,70,80,101,97,85,84,201,206,206,202,201,201,200,205,214,219,188,195,186,203,218,209,202,151,93,38,11,41,58,74,112,91,79,95,206,207,207,200,199,201,200,202,201,224,178,153,202,200,208,215,199,144,85,39,13,24,46,86,122,90,75,117,212,206,207,198,199,201,200,201,192,194,222,201,181,197,211,221,194,141,78,52,38,24,50,117,125,92,74,122,213,206,208,203,204,205,206,206,205,181,196,208,192,197,213,224,190,135,77,64,70,55,74,146,146,108,70,119,213,207,207,154,159,163,167,170,177,170,170,198,177,172,198,222,187,125,76,74,78,62,91,165,172,140,73,122,217,204,208,95,97,96,96,98,101,101,103,138,113,100,177,223,187,115,75,81,84,73,105,165,182,166,103,96,177,220,236,103,103,102,100,100,100,99,98,97,104,84,168,226,190,106,107,95,87,82,111,159,180,184,147,117,209,231,246,101,103,102,101,102,103,103,104,104,108,90,152,228,192,101,163,126,104,93,93,145,170,183,166,124,200,230,236,101,101,100,104,102,103,103,102,104,107,95,126,220,190,107,189,151,122,113,89,103,158,165,150,89,166,230,206,100,100,100,102,103,103,102,103,105,108,99,112,234,183,117,212,176,144,130,111,80,103,140,113,118,184,176,203,100,100,99,101,102,102,102,102,104,105,101,108,236,144,150,226,190,162,146,124,95,77,90,73,174,218,147,178,99,101,100,101,101,101,102,104,104,104,104,105,137,141,216,220,198,173,156,135,104,83,85,64,179,241,196,159,99,101,101,102,101,99,101,104,103,103,102,105,86,172,228,220,206,179,162,144,113,83,87,67,174,245,219,202,100,101,101,103,101,98,99,102,102,102,103,104,94,159,218,217,209,186,165,148,121,88,85,66,155,247,213,190,98,99,101,105,101,99,99,101,102,102,102,105,95,156,215,215,208,185,166,151,127,94,86,70,143,245,225,171
6,182,184,186,186,186,186,187,187,186,186,186,185,184,184,184,184,183,182,181,180,179,178,178,178,177,175,173,172,184,184,186,188,189,188,188,188,188,188,188,188,186,184,184,184,183,182,181,181,181,181,181,178,178,176,175,173,184,185,187,189,189,190,190,189,189,188,188,188,187,186,185,185,185,183,183,182,182,181,180,179,178,178,176,175,184,187,189,189,190,191,191,191,192,190,190,190,188,188,187,186,186,186,184,183,183,182,181,180,180,178,177,177,186,188,189,190,192,192,192,191,193,192,191,190,191,189,188,188,189,187,185,181,182,181,182,178,178,176,171,175,187,189,190,193,193,193,194,193,193,193,194,193,192,188,183,180,176,176,174,156,160,170,170,157,167,161,176,197,189,190,191,193,194,194,193,194,193,192,183,176,178,179,174,176,178,178,170,166,160,177,175,163,169,165,169,188,189,190,192,194,194,195,194,193,197,197,176,161,170,179,181,185,186,184,170,156,156,152,153,142,136,136,129,136,190,192,193,194,195,196,195,192,205,203,182,172,163,164,165,161,157,151,144,136,115,115,105,120,144,149,164,175,191,192,194,195,195,196,196,195,212,207,195,182,167,157,153,146,141,133,121,104,84,74,86,176,191,187,186,183,193,193,194,195,196,198,195,204,216,211,203,175,149,146,151,157,154,149,140,135,132,98,156,193,183,184,183,182,193,194,196,195,197,199,195,212,218,215,194,151,134,142,145,154,157,154,146,139,140,109,162,193,187,185,184,182,193,196,198,198,199,197,198,219,214,212,170,140,146,142,133,138,152,141,136,136,126,97,169,192,188,186,184,183,194,196,198,198,200,193,206,218,212,211,187,173,158,145,126,133,154,146,143,145,123,118,194,189,188,187,186,184,195,197,198,199,198,198,215,214,214,216,213,200,164,143,151,157,155,147,138,128,128,114,177,193,188,188,186,184,196,198,198,201,194,206,216,215,216,212,212,203,156,134,142,145,147,141,129,122,121,99,177,193,189,188,187,185,195,198,199,198,195,211,215,217,212,208,205,189,155,138,133,126,131,136,133,128,107,125,195,190,190,190,187,184,194,195,199,187,201,213,214,214,207,202,197,194,179,163,132,107,120,136,131,129,101,160,197,188,190,188,184,186,194,198,192,183,211,213,214,209,209,208,200,196,202,184,142,123,138,150,138,122,111,119,193,189,188,188,192,176,196,200,183,196,210,212,210,210,212,206,196,204,202,171,131,122,129,127,119,111,98,115,193,192,195,190,146,93,198,189,191,207,209,209,206,202,198,195,195,201,184,151,127,125,121,112,105,101,108,177,200,185,146,102,69,64,194,184,201,204,208,202,195,191,186,189,186,173,155,134,125,114,106,139,148,164,182,167,128,89,64,62,63,62,184,191,203,203,204,195,186,183,181,179,175,156,140,130,133,122,144,171,147,129,98,74,54,49,56,61,58,57,176,201,201,201,192,184,174,170,178,172,164,154,146,131,112,89,84,66,57,54,56,63,43,47,51,56,54,55,188,203,201,197,189,181,169,164,164,157,147,140,122,100,77,60,51,55,54,58,61,55,36,43,47,52,54,52,200,202,199,192,184,168,154,152,144,130,120,108,88,67,59,66,48,46,50,53,58,50,33,39,44,51,52,49,203,201,197,195,173,146,144,140,133,120,95,76,63,55,54,64,53,41,51,51,53,46,31,38,45,52,50,50,203,200,196,189,148,139,155,144,125,106,70,61,53,51,51,59,54,43,50,43,50,41,31,39,46,51,47,47
2,176,177,179,180,180,181,181,181,181,181,180,179,178,177,178,178,176,175,174,170,171,170,167,165,163,161,160,159,179,180,180,182,183,183,183,184,183,182,182,180,182,184,184,182,181,181,180,178,171,171,169,167,166,164,162,160,181,183,184,184,184,185,185,185,185,184,184,185,171,160,165,164,154,147,138,155,182,172,169,169,167,166,164,162,183,184,184,185,186,186,186,186,187,186,187,176,151,143,148,147,134,111,90,78,132,176,176,171,170,168,165,164,185,186,186,187,188,189,189,188,189,190,179,152,151,156,145,147,152,104,97,110,112,115,145,173,171,170,168,165,186,187,188,190,190,191,191,191,192,192,181,168,157,138,123,122,111,55,62,91,101,67,62,165,175,171,168,166,188,187,190,191,192,194,194,194,195,188,181,172,151,120,93,74,88,130,152,121,97,72,115,179,174,172,169,167,188,190,192,192,192,196,195,196,191,169,167,150,112,58,32,89,197,194,192,192,185,180,185,178,175,173,170,168,190,192,194,193,194,196,197,198,188,165,151,107,58,38,28,145,201,186,187,185,184,184,179,178,176,175,172,170,189,192,195,196,196,196,198,198,186,166,112,52,34,23,73,197,191,191,189,187,185,182,182,186,183,177,173,171,192,193,196,197,197,199,200,195,188,163,104,36,34,17,128,207,191,193,191,188,186,188,180,149,140,171,176,173,193,195,196,197,200,200,201,191,187,155,97,37,45,32,122,208,192,194,193,190,189,182,120,83,70,124,183,172,194,195,196,200,201,202,200,191,183,146,74,42,54,35,135,209,195,195,193,194,188,127,96,97,75,119,186,173,194,196,199,201,202,203,198,193,182,137,78,62,53,34,163,207,195,197,195,195,135,92,103,88,75,167,181,176,195,198,200,200,202,204,195,193,181,142,91,67,49,32,112,217,199,195,204,151,73,82,94,64,124,191,179,179,196,199,199,201,202,206,194,191,179,139,95,67,46,47,47,107,181,208,158,98,75,74,69,70,185,183,181,179,197,199,202,203,202,205,194,188,170,136,104,65,47,49,56,50,80,119,77,81,93,69,60,161,190,183,183,180,199,202,203,204,205,204,192,188,171,137,96,63,46,48,54,64,68,60,64,79,70,71,171,196,185,186,183,179,198,201,202,204,206,204,187,194,184,133,96,69,45,51,56,60,71,75,66,72,67,176,198,186,187,186,183,180,200,202,202,204,205,201,186,202,178,127,95,70,47,51,58,61,69,77,67,43,156,205,188,189,187,186,184,182,201,203,204,206,207,196,190,200,166,119,94,74,48,51,62,67,71,74,51,121,205,193,192,191,189,186,185,184,201,203,204,206,210,194,192,192,157,114,96,74,48,52,66,71,75,56,74,206,197,195,194,193,190,187,185,184,202,203,205,206,208,191,193,181,146,117,98,72,48,53,69,67,67,36,156,210,197,197,195,193,192,190,187,186,202,204,206,208,208,190,185,166,136,111,90,69,47,53,67,66,36,103,213,199,200,198,196,193,192,190,187,186,201,203,205,207,205,190,176,161,132,108,88,66,48,54,65,37,84,206,204,201,199,198,196,194,192,190,187,185,202,203,205,207,202,188,165,152,122,100,82,64,50,47,31,90,204,210,203,203,201,199,198,194,192,191,188,186,201,204,206,206,203,183,162,148,119,96,76,60,37,53,147,211,209,204,204,204,201,200,199,195,193,191,189,185,201,204,205,203,200,178,159,143,121,92,70,49,33,168,227,205,205,207,204,203,200,198,198,194,192,190,188,185
17,143,145,146,148,150,151,151,153,154,156,155,157,158,159,159,161,161,160,163,162,162,164,163,162,163,163,163,163,142,145,147,149,151,152,152,154,155,157,156,158,159,160,162,162,162,166,165,166,164,164,163,163,165,164,164,162,143,145,148,151,151,152,154,155,155,158,158,158,159,161,162,164,153,138,147,131,165,165,165,165,166,166,165,164,144,146,147,151,153,154,154,156,157,158,157,159,160,163,162,167,167,117,97,94,158,168,166,167,166,166,166,164,144,147,149,151,153,154,155,158,160,160,160,161,162,164,163,166,181,136,86,88,165,167,167,167,166,166,166,165,145,147,150,151,152,154,157,159,159,161,161,163,166,164,165,165,181,152,96,96,175,167,168,168,167,168,168,165,146,149,151,152,154,157,157,158,158,160,164,156,149,172,167,164,184,159,106,122,177,167,169,168,167,168,168,167,148,150,151,152,156,157,157,160,162,161,165,161,120,135,172,172,184,153,110,139,175,169,170,170,169,169,168,168,148,150,152,153,155,157,159,158,159,155,169,167,144,122,140,167,181,152,107,138,177,169,170,171,170,169,168,167,149,151,152,154,157,157,156,171,163,120,134,174,175,170,130,98,149,150,111,138,178,170,172,170,170,170,170,169,150,152,152,156,158,158,161,173,167,125,140,152,168,180,159,101,103,131,104,136,179,171,171,170,171,172,171,170,151,153,154,156,159,158,169,163,148,148,118,107,100,187,179,128,87,107,94,132,180,172,172,171,172,171,171,171,150,152,154,156,159,157,172,161,112,116,108,82,76,175,192,148,93,91,85,129,181,172,174,173,172,172,172,172,150,153,155,157,160,159,176,159,134,132,116,111,110,158,201,158,107,87,87,122,181,172,174,174,173,172,173,173,151,154,156,157,159,162,182,160,142,134,119,132,138,163,193,161,122,87,83,120,181,172,174,175,174,174,173,173,151,153,156,160,158,170,176,140,130,128,131,138,173,198,167,156,127,86,76,119,182,173,175,175,175,175,173,171,151,153,157,161,156,176,176,145,133,128,135,152,202,193,162,143,120,84,70,121,182,174,176,175,175,175,174,172,151,155,156,159,157,183,179,152,137,128,137,181,198,182,159,137,112,85,71,140,183,174,176,175,175,175,175,174,152,155,157,159,158,187,178,158,147,129,154,198,190,179,152,126,108,82,82,167,179,175,176,176,175,174,174,174,152,155,159,161,159,194,178,164,160,137,162,196,180,175,155,119,102,74,111,184,173,177,177,177,176,175,174,174,153,156,159,162,159,196,183,169,169,150,160,190,175,168,149,115,94,76,154,182,175,176,177,178,176,175,175,176,153,157,159,161,157,190,191,173,166,158,155,180,171,169,145,111,85,92,179,176,175,176,177,177,176,176,175,176,154,157,160,163,159,182,193,171,160,156,159,169,162,173,152,108,82,107,184,176,177,177,178,177,177,177,176,175,155,158,159,162,160,181,187,169,160,151,158,166,159,173,145,109,82,134,186,176,178,178,178,178,178,177,177,176,154,156,160,163,160,184,190,176,162,158,161,168,157,168,132,102,89,168,180,178,178,178,178,178,178,178,177,176,152,156,160,163,162,191,197,175,160,166,168,161,147,157,120,86,120,185,176,178,178,178,178,178,178,178,177,177,154,157,160,162,162,197,191,162,161,168,170,150,136,142,106,84,163,182,177,179,179,179,178,178,179,179,178,177,155,157,160,161,165,199,185,157,162,169,165,144,134,129,93,103,182,176,179,179,179,179,179,179,179,179,177,177
10,153,154,155,156,156,157,158,158,158,159,159,158,157,157,156,155,154,153,152,150,149,156,144,119,135,141,139,138,157,157,158,160,160,161,162,162,162,162,161,161,161,160,159,159,157,156,155,154,153,162,148,110,131,142,141,140,162,162,163,164,165,165,166,166,167,166,165,165,165,165,164,163,161,160,159,158,157,166,149,107,128,146,145,143,167,168,168,169,170,170,170,171,171,170,170,170,170,169,168,167,165,164,163,162,161,168,145,104,127,150,148,147,171,172,173,173,174,174,174,174,175,175,175,175,175,174,173,171,170,168,167,166,165,172,147,106,129,153,152,151,175,175,176,177,178,178,178,179,180,179,179,180,180,179,177,176,174,172,171,170,170,178,153,115,134,157,156,154,178,179,180,180,181,182,182,183,183,182,182,183,183,182,181,180,178,176,175,173,176,182,158,136,136,158,160,157,181,182,183,184,184,185,186,186,186,186,186,186,186,185,184,183,182,181,179,177,176,178,167,147,117,153,163,161,184,185,186,187,188,188,189,189,188,188,188,188,189,189,188,187,186,184,182,177,164,156,162,144,102,136,165,164,187,188,189,190,191,190,191,191,191,191,191,191,192,192,191,190,188,186,184,184,174,152,139,129,99,105,154,168,190,191,192,193,194,194,194,195,195,194,194,195,195,195,194,193,190,179,166,168,175,164,140,116,97,85,124,166,194,194,195,195,196,196,197,197,197,197,197,197,197,196,191,185,186,173,144,121,127,159,162,128,89,78,103,161,196,196,197,198,198,198,199,199,199,199,199,199,198,195,179,156,160,178,159,114,74,111,142,115,80,71,103,164,198,198,199,200,200,200,201,201,201,201,201,201,199,195,183,159,143,169,176,133,74,59,82,108,96,75,109,170,199,200,201,202,202,202,202,202,202,202,203,202,199,188,181,175,150,147,174,147,95,56,69,126,127,87,114,173,201,201,202,203,204,204,204,204,205,205,205,203,197,176,157,164,149,117,145,150,104,66,82,134,141,96,114,173,202,203,204,205,206,206,206,207,207,207,207,204,197,176,138,130,130,93,111,146,113,78,92,132,133,92,113,174,203,205,206,207,207,207,208,208,208,208,208,205,195,177,146,119,118,98,98,143,141,102,98,126,109,82,125,180,205,206,207,207,208,209,209,209,210,209,209,206,199,195,170,131,118,111,103,140,156,116,93,111,91,82,148,186,207,208,208,209,209,210,210,210,211,211,211,208,201,202,184,151,126,117,122,158,159,115,91,99,84,95,170,190,208,209,210,210,210,211,212,211,212,213,214,212,202,200,191,165,139,130,146,185,182,145,113,99,82,115,183,192,208,209,210,211,211,212,213,213,214,215,215,214,203,193,189,173,153,142,154,188,188,160,125,98,82,138,190,193,207,208,209,210,211,211,211,212,214,215,215,215,206,190,187,180,168,154,154,181,178,150,116,88,89,162,194,194,207,208,209,210,211,211,212,213,214,215,215,215,211,192,181,182,175,157,146,165,160,133,102,78,109,181,194,193,209,209,210,211,212,213,214,214,215,216,216,216,214,201,179,176,170,153,137,145,143,119,89,78,141,192,194,193,209,210,211,212,213,214,215,215,215,216,217,217,216,209,188,175,164,149,135,134,137,113,82,101,175,197,195,194,196,198,201,203,205,207,209,209,211,212,213,214,214,209,193,177,163,154,143,133,133,107,81,134,192,197,195,191,146,148,152,156,160,164,168,172,175,178,182,186,190,190,189,180,167,163,149,136,129,100,83,150,194,194,185,163
13,119,128,136,138,143,148,156,160,165,167,169,172,176,179,181,183,187,188,189,190,190,192,192,191,191,191,192,193,119,130,138,141,145,151,158,162,165,168,170,174,177,180,183,185,188,188,189,191,193,193,193,193,193,193,193,195,123,133,141,143,147,154,161,165,167,171,173,176,179,182,185,188,190,189,190,190,191,197,196,196,196,196,195,196,125,136,143,145,149,155,161,166,169,172,175,178,181,184,187,189,191,203,210,194,149,168,194,195,200,197,198,198,126,137,144,147,151,157,163,168,172,175,178,181,184,186,189,193,191,214,229,193,133,94,125,147,176,202,198,199,128,137,143,147,153,158,164,170,174,176,179,183,187,188,201,178,150,157,195,198,132,84,111,139,95,180,204,201,131,140,145,148,155,160,166,171,174,178,181,185,187,196,231,197,160,119,152,201,173,93,122,138,84,164,207,202,132,142,147,149,155,162,168,173,175,180,182,192,180,146,201,230,191,136,85,179,185,99,119,152,88,178,207,203,134,143,149,151,157,162,169,174,177,179,191,222,186,129,111,224,215,160,81,98,156,95,134,170,105,195,206,205,135,144,150,153,158,165,171,175,178,186,219,217,207,159,87,165,217,154,94,37,78,63,130,156,128,211,205,206,137,147,152,155,161,168,172,176,179,213,192,184,216,178,103,103,202,141,89,34,61,97,132,125,98,195,210,208,139,150,153,155,163,170,174,176,199,225,190,158,197,163,105,77,182,144,88,43,103,150,144,121,105,140,215,209,141,150,155,159,166,172,176,179,214,207,171,143,182,132,91,53,169,171,94,91,177,176,142,102,106,100,197,212,144,152,156,160,168,176,179,188,225,201,170,125,158,119,81,32,145,170,96,165,202,173,139,108,98,86,185,215,146,155,157,161,172,179,183,192,234,211,182,134,121,122,69,48,134,181,167,204,187,156,130,103,85,98,211,214,150,157,159,164,175,182,186,198,239,219,190,149,102,101,102,152,202,217,218,200,172,141,120,97,71,152,220,214,153,160,161,168,177,185,188,205,244,229,194,155,148,152,158,188,213,212,210,190,159,135,111,86,75,202,217,215,155,163,165,171,181,187,189,208,238,232,206,172,173,161,164,200,205,213,200,176,150,127,102,73,100,221,217,217,159,165,168,176,186,192,195,209,227,235,217,189,182,163,173,212,202,204,184,159,135,115,93,61,164,226,220,219,162,167,171,179,189,196,200,201,223,232,222,199,184,165,176,204,205,182,166,142,126,108,76,118,224,223,222,221,165,171,174,182,191,198,202,201,216,225,219,207,191,177,173,191,199,174,151,131,117,95,100,217,227,225,224,223,167,174,176,185,193,199,203,208,206,225,221,213,207,193,175,182,190,167,134,119,105,88,194,232,227,227,226,225,170,175,179,187,196,202,206,211,198,226,219,212,208,193,171,174,174,155,116,109,89,150,235,229,229,230,228,229,172,178,181,190,199,206,209,213,202,223,202,186,194,185,168,166,162,142,116,99,98,221,233,232,232,231,233,219,173,179,182,192,201,208,211,215,206,224,203,187,203,198,182,158,155,137,123,87,137,233,234,234,234,241,213,106,175,179,183,193,201,206,211,214,205,226,216,199,217,202,185,155,150,136,126,80,163,235,235,237,230,179,93,55,175,179,183,194,202,208,212,215,209,221,229,218,230,206,187,160,149,135,124,78,173,238,237,230,131,59,39,41,176,181,185,196,203,209,213,218,208,207,233,225,227,203,183,165,151,137,121,76,168,241,244,168,71,60,49,22
12,164,170,175,176,182,185,187,188,189,191,191,192,196,198,198,197,198,197,198,198,197,198,195,194,192,192,193,190,167,172,175,177,183,185,188,190,190,191,192,196,197,198,199,199,199,199,198,198,198,197,197,196,196,194,194,191,169,172,177,180,182,186,187,190,193,195,197,197,198,199,195,199,203,202,198,199,199,199,199,198,197,194,196,195,169,173,178,181,184,187,189,192,195,196,195,199,196,192,228,198,165,187,205,201,201,198,200,199,198,198,198,195,171,175,180,183,186,188,192,195,197,193,215,248,220,165,221,235,154,122,203,200,202,204,199,200,200,197,197,197,172,177,181,184,187,190,195,197,200,192,251,255,245,188,136,218,196,110,177,227,176,177,204,202,200,198,198,197,173,177,181,185,188,191,195,198,200,193,248,255,255,221,185,139,184,153,144,240,170,115,173,208,200,199,200,198,173,178,182,187,189,192,195,198,198,191,242,212,195,230,187,96,157,177,96,158,177,101,119,210,202,201,200,201,174,179,184,187,190,193,197,191,211,240,186,160,177,201,182,152,178,135,70,104,145,100,99,205,205,202,200,201,175,180,185,188,192,196,192,210,255,237,163,105,145,213,215,215,191,146,117,182,126,93,102,207,205,203,202,203,175,181,186,189,191,196,189,255,255,218,174,111,71,178,198,188,208,221,202,190,117,81,115,215,205,205,204,206,176,181,187,190,195,191,223,253,232,239,186,121,45,91,130,169,206,249,231,183,111,61,151,217,205,206,206,206,178,183,187,190,196,188,255,241,222,243,195,140,62,63,64,97,196,228,238,206,163,94,185,215,206,207,206,205,178,183,187,193,189,222,255,224,201,252,224,165,71,73,75,142,230,218,207,175,178,134,144,218,206,208,207,206,175,181,187,191,185,255,255,224,167,194,248,182,98,63,169,244,232,211,200,154,150,133,120,214,208,207,209,208,177,183,186,188,187,255,255,224,168,137,198,236,140,157,255,229,219,204,187,151,127,105,142,217,208,208,207,207,178,184,189,190,196,255,255,224,202,200,151,163,176,255,255,233,214,204,171,146,113,93,173,218,210,209,208,208,178,184,190,189,199,255,255,235,233,221,181,178,253,255,255,239,198,183,156,143,107,99,200,215,211,211,209,208,178,185,190,188,198,255,255,253,242,224,198,192,254,255,252,226,187,160,150,134,98,124,218,212,212,211,209,209,178,184,187,192,194,255,255,255,241,219,201,193,246,255,235,206,169,153,152,120,89,173,222,212,213,214,210,207,175,180,185,193,185,242,255,251,236,223,209,203,234,240,214,182,160,158,149,102,115,214,213,212,212,210,208,206,179,185,189,196,191,223,255,236,224,219,209,204,225,233,203,173,156,152,131,95,184,223,216,217,216,215,214,214,147,149,151,154,145,189,255,216,214,215,201,183,209,232,200,162,142,134,112,102,151,150,148,148,147,146,146,147,98,96,95,100,83,142,255,208,213,217,200,180,197,224,178,134,122,118,103,91,86,86,85,84,83,83,82,83,110,109,108,111,99,146,255,216,227,223,202,182,189,217,160,124,113,107,100,101,99,99,97,96,96,94,94,94,109,108,109,113,99,145,255,233,245,234,209,183,176,210,159,127,103,98,101,102,102,98,96,95,96,94,94,94,110,108,109,113,101,137,255,246,255,234,208,177,165,202,161,124,101,96,100,101,101,98,98,97,97,97,96,91,109,110,111,112,105,123,255,248,248,218,198,179,160,188,155,115,99,96,101,101,99,98,97,97,99,96,91,103
1,121,126,129,132,137,143,145,145,147,148,151,152,154,157,156,157,157,158,164,160,161,161,161,161,159,159,160,161,126,130,134,137,140,145,148,151,152,153,155,155,158,155,161,161,170,165,135,166,165,163,162,161,161,161,162,163,131,136,138,141,145,149,153,156,157,159,161,161,161,177,140,149,193,170,87,165,170,169,165,166,165,164,163,165,136,140,143,146,151,154,157,161,162,164,166,164,170,202,111,131,198,151,90,167,147,158,173,170,170,169,168,169,140,144,147,152,156,159,162,166,167,168,169,168,184,197,101,143,199,135,96,181,139,109,182,173,174,173,172,170,144,148,153,157,161,164,169,171,172,172,182,157,169,189,100,151,201,125,106,196,141,96,183,177,177,176,176,174,149,154,157,161,166,170,174,178,179,178,204,141,128,169,108,159,207,134,122,202,133,96,186,182,181,180,180,178,154,159,161,166,171,175,180,183,183,186,212,122,128,155,119,158,195,128,127,208,134,98,190,187,185,185,184,182,158,162,166,170,176,178,184,186,188,192,199,109,133,136,108,135,188,118,139,214,140,105,197,191,190,189,188,186,162,166,170,174,180,183,185,192,192,196,206,121,136,143,108,136,206,123,158,206,135,113,204,197,195,192,192,191,164,169,174,177,184,187,190,196,194,202,204,119,125,162,122,137,207,122,171,212,134,120,208,199,200,199,197,196,169,173,177,182,187,190,195,198,197,209,216,137,114,150,105,126,179,105,187,214,139,133,213,200,202,203,202,200,172,177,180,185,192,194,197,202,201,211,226,142,100,130,105,134,154,130,195,196,128,146,218,204,207,206,203,203,175,180,183,188,195,198,200,205,203,213,222,148,136,179,164,177,182,167,153,182,121,157,220,207,211,209,208,207,177,182,186,191,196,200,204,209,206,221,234,183,148,147,195,213,223,179,108,142,106,167,222,212,213,213,211,209,180,183,189,193,198,201,206,211,208,232,220,162,131,93,123,157,180,205,154,83,79,187,224,215,215,215,214,211,182,186,192,197,201,203,209,214,211,238,214,159,117,104,109,125,178,233,203,114,71,208,224,219,218,217,216,215,184,189,194,200,203,207,211,216,214,243,222,158,125,128,134,175,198,225,230,155,84,206,229,222,221,219,219,220,187,191,196,200,205,210,215,217,218,244,217,156,124,137,143,214,227,206,205,161,89,180,236,223,224,222,221,221,190,195,198,204,209,212,215,217,221,243,216,166,134,150,167,239,236,203,163,128,81,180,237,224,225,224,224,222,191,195,201,206,211,214,217,220,222,239,219,170,150,143,184,248,231,185,147,103,77,201,236,227,228,227,226,225,193,199,202,206,213,215,219,222,223,234,215,171,158,141,184,244,213,168,133,88,111,236,230,231,231,228,228,229,194,199,203,208,212,215,221,226,225,228,214,180,172,147,173,230,193,153,116,75,162,246,229,232,232,231,231,230,197,200,206,210,214,218,221,224,226,224,210,185,180,152,169,222,179,140,101,80,206,241,233,234,234,233,232,232,199,201,207,211,216,219,223,225,228,229,218,188,180,142,160,205,164,129,87,104,238,236,236,236,236,236,235,235,197,202,208,214,217,219,223,228,226,231,223,190,172,127,149,172,135,117,76,153,250,238,239,237,237,236,237,235,196,201,207,212,216,218,221,227,220,236,227,211,170,132,153,154,126,100,96,224,242,239,239,237,238,238,236,236,197,201,206,210,217,222,224,223,220,237,227,214,178,146,154,141,120,78,172,247,237,239,239,237,238,238,236,236
22,184,186,188,189,189,189,190,192,190,191,192,192,191,191,192,191,190,191,193,191,188,189,187,189,164,57,6,5,186,188,190,191,191,193,195,194,194,195,196,196,196,195,195,195,196,194,196,195,192,191,189,192,171,43,15,26,189,191,192,194,195,196,197,197,197,198,200,198,199,198,198,198,199,200,198,197,196,195,194,191,198,96,16,41,191,194,196,197,197,197,199,200,200,200,202,202,198,201,204,200,201,201,199,202,200,198,197,194,200,143,26,30,193,197,198,199,199,201,203,203,204,204,204,204,212,177,185,209,203,208,192,165,206,200,200,197,197,198,52,16,196,199,201,201,204,204,204,205,207,206,206,202,228,166,151,218,204,214,200,114,204,204,204,201,198,172,76,0,198,200,203,205,205,206,206,207,208,208,208,206,228,164,140,222,207,211,184,110,201,207,206,202,216,126,103,68,199,202,204,207,206,206,209,209,210,211,212,208,236,186,129,219,210,212,189,116,196,210,207,211,205,110,145,156,201,205,207,209,210,208,211,211,213,214,213,208,238,218,126,214,213,215,198,127,200,213,206,221,182,118,147,185,203,206,208,211,213,211,213,214,215,214,215,211,230,243,130,207,217,212,190,132,206,216,211,236,173,125,192,184,205,207,209,209,211,213,214,214,215,214,215,213,225,255,135,184,224,208,189,128,203,217,218,235,150,143,220,152,206,208,210,212,214,214,214,213,214,216,216,215,223,255,180,145,226,212,205,137,201,217,228,216,120,163,224,171,207,209,212,213,214,216,216,216,217,219,219,218,219,255,213,124,208,208,203,139,204,223,233,198,107,189,220,204,209,211,214,215,215,216,217,219,220,218,219,222,216,241,205,149,158,147,197,162,215,233,229,166,121,218,214,212,209,212,213,214,215,215,216,219,220,220,221,222,224,254,218,191,184,85,140,182,202,200,202,131,160,227,213,213,208,208,209,214,214,214,216,217,217,218,221,217,242,231,241,190,200,152,111,118,147,152,148,109,208,220,215,214,208,209,212,214,215,216,218,217,217,218,220,221,241,187,218,186,157,206,185,109,86,128,109,116,226,214,215,213,208,210,213,214,216,217,218,217,218,222,219,233,246,210,194,188,90,173,199,165,100,85,87,128,227,213,214,213,206,209,213,213,214,215,217,217,219,223,219,240,238,187,144,186,91,72,174,197,166,93,63,148,229,215,214,213,214,217,220,220,218,220,222,221,223,227,219,236,241,180,146,152,116,54,135,225,211,159,70,171,228,215,215,213,175,180,184,189,193,198,202,206,209,215,213,228,253,196,153,118,134,147,207,212,229,193,118,130,236,227,226,223,87,87,90,93,93,95,98,99,103,110,99,181,255,227,150,127,165,224,244,226,219,190,145,101,165,163,163,174,92,93,94,94,92,92,92,92,91,96,78,169,255,250,152,136,159,232,247,237,209,173,120,81,87,115,154,191,95,92,91,93,96,96,96,97,97,99,90,168,255,252,156,157,153,235,253,236,202,167,94,133,219,225,235,240,91,91,91,91,93,94,95,96,97,100,89,141,253,249,174,180,147,227,255,220,190,150,82,168,233,215,216,231,90,92,92,91,92,93,93,96,96,97,92,109,238,246,197,180,152,209,245,196,166,122,83,160,190,211,213,216,89,90,91,92,93,92,92,96,96,94,97,91,209,244,205,168,145,178,225,171,132,94,90,188,143,159,193,212,90,91,92,92,98,94,92,95,96,97,97,88,197,225,182,152,129,133,191,149,109,79,109,210,137,138,181,207
20,153,156,159,160,164,168,170,172,174,175,177,179,181,180,182,185,185,184,184,186,187,187,187,186,187,186,187,187,156,158,160,163,167,169,171,174,175,176,177,180,181,182,186,167,175,189,189,187,189,188,189,189,189,189,190,189,156,159,162,165,169,170,173,176,176,177,179,182,184,182,203,145,132,162,164,194,191,193,193,192,190,191,191,191,158,162,165,166,169,171,176,177,178,180,183,185,185,185,213,152,161,166,114,192,194,193,192,191,191,192,193,190,159,162,165,167,170,173,176,177,178,181,185,186,185,187,208,150,177,184,108,183,196,193,194,193,194,195,194,192,160,163,166,169,172,175,177,178,181,183,185,185,183,193,222,165,181,189,116,182,200,196,197,196,196,196,195,195,162,165,167,169,173,175,178,181,183,183,186,189,183,204,221,162,200,192,124,177,202,196,197,197,197,197,197,196,162,165,168,171,174,176,179,182,185,186,176,179,191,206,196,156,203,186,118,170,206,198,199,197,197,198,197,196,163,166,169,172,175,179,180,182,185,191,175,122,163,220,184,147,209,173,112,174,208,201,201,199,199,200,198,196,163,166,170,174,176,180,183,182,183,200,177,138,106,183,172,146,210,170,115,187,204,201,203,200,200,199,198,197,165,167,170,175,177,179,181,190,167,169,187,174,161,122,118,129,181,162,116,192,205,202,203,201,202,201,200,199,165,168,172,176,177,176,192,216,163,128,193,201,190,145,91,90,147,148,111,195,205,202,203,203,203,202,202,202,166,168,172,175,178,179,196,181,191,158,122,159,199,178,122,92,122,119,106,200,205,204,205,204,204,202,202,203,167,169,174,178,180,177,204,172,141,135,71,74,188,207,161,99,100,108,100,198,206,205,206,206,205,204,204,203,167,169,173,178,180,180,200,166,134,130,95,91,152,224,186,125,90,101,99,198,207,205,206,205,204,204,204,203,168,169,173,178,180,180,207,201,169,140,109,122,135,224,206,155,102,87,91,200,208,205,206,204,203,204,203,202,168,170,174,179,181,181,220,191,149,129,121,138,154,224,207,169,117,79,85,197,210,206,207,205,204,204,204,203,169,172,174,179,183,183,217,186,152,142,144,141,209,240,190,166,123,78,86,202,210,208,209,207,205,204,204,205,170,172,176,180,182,185,225,194,164,154,154,158,240,235,192,158,129,81,92,207,209,208,208,207,205,207,206,205,171,173,176,182,184,185,226,201,176,148,166,188,239,219,198,159,129,83,103,214,207,208,208,208,206,206,207,206,171,174,177,181,184,185,228,210,181,163,164,203,234,203,192,152,126,79,120,217,206,208,208,207,207,208,207,206,170,173,177,182,186,183,225,212,186,190,164,208,229,202,187,156,119,78,133,218,206,208,209,208,207,208,208,206,170,174,178,182,186,183,212,220,200,207,183,193,218,193,181,157,116,75,132,220,207,210,210,210,209,209,208,207,170,174,179,183,185,185,197,221,209,210,196,185,203,189,180,156,116,78,137,219,207,210,209,209,210,209,209,208,168,174,178,183,185,187,188,216,214,199,182,186,193,181,179,171,116,78,157,219,207,210,209,209,209,210,210,209,169,173,178,183,185,188,187,214,203,186,170,174,188,179,178,172,120,84,183,216,210,211,211,210,209,210,209,208,169,174,179,183,185,188,188,213,194,182,172,169,188,181,173,168,108,100,210,211,211,212,211,211,211,211,210,209,168,175,179,182,185,188,190,218,212,200,179,174,194,173,162,160,92,129,222,209,212,212,212,211,211,211,211,211
5,171,173,175,179,182,182,182,182,183,178,201,131,144,186,178,178,177,174,176,178,171,172,170,167,172,77,8,16,174,176,178,182,183,183,185,185,185,179,221,101,99,194,179,181,179,182,168,156,178,172,172,182,130,7,26,46,176,179,181,182,185,187,187,188,191,189,220,88,124,196,181,183,178,196,134,79,186,174,175,172,55,2,30,57,177,182,183,185,188,189,191,189,167,207,196,74,161,195,184,183,184,169,78,97,189,174,184,139,19,14,28,47,179,182,186,188,191,192,197,210,78,198,174,73,184,193,188,190,162,114,61,169,185,176,188,101,11,31,51,62,181,184,188,190,193,198,193,221,84,162,170,81,196,192,195,172,124,62,130,194,182,181,189,118,27,45,50,58,183,187,190,192,195,198,194,231,123,126,145,93,203,198,168,130,86,93,199,186,185,181,191,146,41,51,46,37,185,189,191,194,199,200,200,216,138,107,105,119,214,165,109,96,66,173,197,189,188,185,187,171,51,32,24,27,189,191,195,197,200,202,199,222,161,92,73,146,200,106,80,57,144,202,190,192,190,188,186,196,90,0,6,32,190,193,197,197,201,204,200,229,191,100,87,131,151,85,62,102,211,194,195,193,192,191,189,199,127,11,13,8,193,195,198,200,205,206,205,222,189,99,90,99,108,85,60,152,209,199,195,194,195,192,190,196,164,115,114,63,195,198,200,204,207,206,207,211,184,101,70,68,75,73,72,196,209,189,196,201,197,197,193,196,176,77,162,162,198,200,203,206,207,209,208,210,195,131,79,67,54,49,119,206,139,100,115,189,207,198,195,196,169,99,181,122,198,201,204,207,209,211,211,208,207,157,83,57,56,47,91,102,81,108,111,122,161,195,198,202,196,152,90,100,199,202,204,207,210,212,213,209,220,185,115,64,54,58,52,66,88,79,121,151,136,154,164,161,174,197,118,150,201,204,207,208,211,212,215,214,231,214,163,89,55,57,69,54,45,55,108,106,134,150,141,94,95,176,179,169,200,205,209,211,215,216,216,216,231,229,185,102,58,50,62,44,101,183,200,157,142,114,137,137,114,70,177,181,203,206,209,212,215,217,217,216,237,243,188,107,64,51,32,111,238,209,214,210,155,152,163,130,95,115,190,105,203,206,210,215,217,218,219,217,243,250,194,117,70,44,20,78,161,225,199,129,128,157,119,84,168,204,204,144,204,207,211,214,217,220,220,219,242,253,198,124,75,35,34,48,56,157,110,118,145,105,54,167,212,197,198,192,206,208,212,216,218,220,220,225,246,248,193,124,78,34,35,56,65,46,79,126,101,67,154,210,200,201,199,197,206,209,212,217,218,221,219,225,252,243,187,125,78,36,39,62,69,73,86,94,77,181,219,203,203,203,199,197,207,208,211,214,217,219,217,224,251,237,175,119,78,40,45,73,75,79,69,61,178,218,206,206,202,201,198,196,207,211,212,216,218,220,218,228,243,222,163,120,79,37,50,80,84,77,56,162,219,205,209,207,203,199,200,198,207,210,213,216,218,219,211,237,243,212,165,127,74,35,44,78,88,60,102,228,206,210,209,209,204,201,202,199,207,209,212,216,221,211,217,251,242,205,166,127,75,44,45,80,83,45,168,219,208,210,209,208,204,202,202,199,208,211,215,217,220,201,244,254,232,197,170,124,69,47,59,84,51,95,221,211,210,210,209,207,204,203,202,197,207,211,215,222,204,209,255,245,214,190,168,115,62,48,63,63,58,197,219,213,211,209,209,208,207,204,204,187
19,172,173,175,175,174,174,174,173,173,173,173,172,172,171,170,171,169,169,168,167,166,166,165,164,163,162,161,159,173,174,174,174,175,175,175,175,174,174,174,173,173,172,171,171,171,170,168,167,167,166,165,164,164,163,161,160,174,175,175,176,177,177,176,176,176,175,175,175,174,173,172,172,172,171,170,168,168,167,167,166,165,163,161,161,175,176,178,178,178,179,171,159,161,176,176,176,176,173,173,173,172,171,170,169,169,168,167,166,165,163,162,162,177,178,178,179,177,191,186,160,130,152,178,177,177,175,175,174,173,172,171,170,170,169,168,167,165,165,164,163,178,178,179,179,178,187,206,181,142,110,162,179,177,176,174,174,174,173,172,171,170,170,169,167,167,166,164,162,180,180,180,181,180,181,206,192,153,101,122,180,179,176,175,175,175,174,172,171,171,171,170,169,168,166,165,164,181,182,181,182,181,180,200,189,148,103,95,172,179,178,177,175,175,175,172,171,172,171,171,170,169,167,165,164,183,182,183,183,184,199,196,175,147,108,94,167,181,181,180,178,177,177,174,173,173,172,171,171,170,168,166,165,183,183,184,184,207,217,193,170,167,157,144,164,167,172,177,179,178,177,176,174,173,173,172,171,171,169,167,166,185,185,184,196,214,189,156,145,161,185,192,184,171,160,153,162,171,176,177,175,174,174,173,172,171,170,167,166,186,186,189,218,214,188,144,113,122,162,190,198,195,188,167,158,153,162,167,173,175,175,175,173,172,170,169,167,187,186,208,222,205,187,166,139,121,131,153,170,181,186,184,183,180,178,160,148,156,167,175,174,172,171,170,168,187,191,216,206,182,168,160,157,161,154,145,141,140,146,160,175,185,193,185,162,146,131,148,169,173,172,170,168,187,208,225,202,166,145,143,137,164,178,169,157,137,113,113,144,154,167,172,170,160,142,136,150,161,172,171,170,194,227,230,201,173,158,154,150,150,163,175,173,156,127,115,144,175,169,161,154,152,152,154,150,142,173,172,171,208,230,218,192,173,170,175,175,167,137,130,155,155,142,131,121,176,185,183,178,170,161,153,150,161,174,172,171,221,225,205,177,156,163,187,188,185,146,117,130,124,132,134,130,178,185,185,184,183,181,176,175,175,173,173,172,224,225,201,165,142,126,156,183,193,172,151,132,121,110,118,160,185,185,185,183,181,180,179,178,176,174,173,171,231,228,193,166,153,148,143,145,141,175,177,147,134,118,157,185,186,185,185,184,182,180,179,178,177,175,173,171,232,218,190,171,164,162,158,148,136,153,161,151,131,144,186,187,186,186,186,184,182,181,180,179,178,177,175,172,225,211,193,177,172,170,160,145,134,134,126,121,151,182,190,188,188,186,186,185,183,182,181,180,178,177,175,173,220,203,187,172,165,168,161,147,135,135,125,148,187,191,191,189,189,187,186,185,184,183,182,181,180,178,176,173,214,199,179,150,132,131,139,141,137,136,147,185,193,192,192,190,188,187,186,186,185,184,182,180,180,179,177,176,200,182,156,124,104,95,135,156,152,167,187,193,194,193,192,190,188,188,188,187,186,184,182,180,182,184,182,176,178,153,127,113,102,99,153,169,167,168,167,167,166,165,164,164,164,163,163,161,161,171,183,189,188,179,173,164,146,128,115,110,105,102,107,107,104,102,102,103,102,100,99,100,100,99,100,119,153,180,183,176,171,176,178,150,125,115,110,107,108,106,103,102,99,98,98,98,97,95,94,94,93,95,138,183,184,177,169,171,160,177,196,156
8,181,180,181,182,181,181,183,181,181,179,182,154,160,181,177,176,176,176,174,172,171,171,170,168,167,166,164,162,181,181,182,183,183,183,183,182,182,182,187,132,122,187,177,179,178,178,175,174,172,172,171,170,168,167,166,163,182,183,184,185,184,184,185,187,182,190,182,107,119,188,178,181,181,180,177,176,174,174,172,172,170,168,166,164,184,184,185,188,186,186,187,187,183,196,174,89,139,191,180,181,181,179,179,178,176,175,174,173,172,169,167,167,185,186,187,189,190,188,188,189,184,206,173,96,154,190,182,183,182,180,180,178,177,177,176,174,173,171,169,169,186,188,188,189,190,189,189,190,187,211,154,93,163,190,183,187,184,180,180,179,178,178,177,176,173,172,171,170,188,190,190,188,189,191,191,190,190,207,145,99,171,192,183,145,172,192,184,180,179,179,178,177,175,174,173,169,189,191,192,191,191,191,192,190,196,208,159,136,170,194,195,142,120,157,171,186,179,181,178,178,176,175,174,170,190,191,191,191,192,192,193,188,200,201,172,155,176,186,196,184,141,116,106,132,188,174,184,180,176,175,174,172,191,192,192,192,192,193,195,190,200,197,183,163,196,187,175,200,176,174,136,74,119,118,116,177,180,176,176,174,192,192,193,195,194,196,196,191,213,184,172,184,197,183,143,163,180,164,141,81,49,69,53,117,190,177,178,175,193,194,195,195,197,198,196,200,198,166,175,167,184,165,131,85,170,178,145,93,50,58,59,82,188,179,178,175,194,196,196,197,198,199,196,214,185,149,146,151,181,142,112,46,127,203,151,99,54,75,56,107,191,178,178,177,195,196,197,198,198,196,204,223,196,165,120,125,168,124,85,62,129,211,158,105,53,53,60,171,186,179,179,179,196,196,197,200,199,196,222,220,192,162,133,123,174,163,159,189,175,180,150,109,60,35,145,191,180,181,179,178,196,198,199,200,200,201,229,207,186,166,151,120,140,210,204,183,182,143,135,116,57,117,197,184,184,183,181,180,197,200,199,200,200,211,226,200,190,164,129,128,187,210,185,158,186,126,119,111,54,172,193,187,184,184,183,181,198,200,201,202,199,220,225,199,192,155,132,181,216,197,177,151,168,124,95,80,71,194,189,188,188,184,182,182,200,201,202,203,202,222,222,204,191,151,171,203,208,187,170,141,145,120,82,50,125,204,188,190,188,185,184,183,202,202,204,200,198,228,217,203,182,158,170,195,185,172,152,132,133,96,65,48,178,197,192,190,189,188,186,184,202,200,215,143,77,179,210,185,163,154,162,174,173,156,138,128,108,76,41,92,204,192,193,191,190,188,186,183,200,208,183,76,62,65,140,175,157,155,155,167,171,144,125,103,74,58,43,171,199,194,194,191,190,189,188,185,201,213,108,60,69,63,59,119,161,166,148,163,158,123,100,76,66,35,125,207,194,196,193,190,191,189,188,186,216,154,65,67,60,61,59,29,65,91,109,148,135,88,71,65,37,97,205,197,197,196,194,192,191,190,188,186,186,78,63,63,58,54,65,37,22,37,39,62,75,61,50,33,111,203,199,197,197,196,194,194,191,190,189,186,95,62,64,60,53,52,62,43,11,37,34,23,21,29,16,132,220,196,196,196,196,196,194,191,190,188,188,185,61,56,54,56,53,46,60,36,4,30,29,21,21,16,12,67,163,203,197,197,196,196,194,191,190,189,186,183,66,52,32,83,69,35,58,18,6,25,23,17,16,17,19,0,95,213,196,198,197,197,195,192,191,190,188,184
5,144,147,151,152,153,155,156,156,157,159,158,158,159,160,160,159,164,161,159,160,158,158,157,156,154,153,154,152,148,152,154,155,156,158,160,160,160,162,163,163,164,165,164,164,132,159,163,162,163,161,161,159,158,157,157,155,153,156,159,160,160,163,164,165,165,165,168,168,165,168,168,184,105,134,175,165,167,166,165,163,163,161,160,159,158,161,164,164,165,167,169,169,169,170,170,170,171,133,147,196,114,110,182,169,170,169,168,168,167,166,164,162,162,164,167,169,170,171,172,173,173,175,175,172,188,129,111,204,111,93,188,173,175,172,172,170,169,169,168,166,165,168,173,174,174,176,177,177,179,178,179,176,195,144,98,197,112,96,191,176,178,176,176,174,173,172,172,170,168,170,175,177,177,180,180,180,175,179,184,180,198,149,87,194,126,104,193,182,182,182,180,178,177,176,176,173,172,174,177,180,181,184,182,189,149,138,193,181,200,162,91,189,115,109,196,184,186,184,188,186,179,179,179,176,175,176,181,183,184,185,184,192,160,102,192,185,204,166,77,181,107,112,200,188,188,184,146,168,189,181,180,180,177,180,184,187,187,188,186,196,184,83,185,191,201,164,67,180,133,113,203,185,191,191,144,116,189,187,184,183,178,182,186,188,188,189,191,195,183,86,183,194,195,181,79,153,149,115,201,182,172,150,182,152,148,189,187,185,182,185,189,191,191,192,193,194,202,99,161,201,188,190,87,110,151,126,198,186,164,56,144,174,115,174,195,189,185,188,193,192,195,195,194,196,208,135,127,204,191,195,91,102,149,125,186,181,150,108,182,150,119,197,192,191,185,189,194,195,196,196,198,197,191,196,151,163,189,178,116,129,133,108,153,165,122,170,201,111,160,203,192,194,188,191,195,198,199,200,199,202,186,202,188,148,152,151,124,124,123,111,156,164,126,190,179,84,181,201,195,195,192,195,196,199,201,202,202,203,198,198,214,174,143,142,113,120,117,115,149,160,142,208,150,69,196,200,198,197,193,196,198,199,201,204,204,204,205,200,229,199,130,125,105,99,110,119,146,154,143,213,144,88,211,200,200,199,194,198,200,201,202,204,205,205,207,204,232,209,136,95,96,89,105,135,157,141,133,207,146,106,215,201,202,202,197,200,201,203,204,204,207,208,208,205,226,205,144,96,95,91,123,149,171,185,147,191,147,113,216,203,203,202,197,201,202,203,205,208,209,209,212,204,221,199,145,100,88,101,139,158,192,205,163,162,122,107,216,205,205,202,200,202,203,205,207,209,209,210,212,204,222,200,154,102,88,110,154,185,192,195,178,129,79,91,216,206,207,206,201,202,204,207,209,209,211,210,214,204,218,201,159,104,90,108,165,200,197,186,152,99,43,123,221,206,209,209,200,202,207,209,209,210,212,213,216,208,209,199,158,106,98,100,176,210,195,163,127,69,69,205,215,209,210,209,202,203,208,210,210,210,213,214,218,204,192,196,158,112,107,98,173,196,170,139,103,52,167,226,212,212,210,210,202,203,207,209,210,210,214,214,219,207,184,188,149,126,114,101,157,174,155,127,65,97,226,214,217,214,212,211,202,204,207,208,209,209,211,213,216,209,181,175,142,132,107,98,147,159,144,89,51,191,222,215,216,215,214,212,201,203,207,208,209,209,210,213,216,208,186,178,147,130,109,85,129,128,99,49,153,227,213,216,216,215,213,212,201,203,207,209,209,209,212,215,220,204,192,179,135,121,112,81,108,92,48,118,228,215,218,216,216,215,213,211
12,207,207,210,212,212,215,216,215,215,214,214,214,214,213,212,210,211,212,210,209,209,208,208,207,205,204,204,203,208,208,210,212,214,216,217,216,217,218,217,217,215,215,216,217,216,212,213,211,208,209,209,207,206,205,207,205,210,210,210,214,217,216,217,217,218,219,218,220,217,216,203,186,205,215,205,207,221,212,209,207,208,208,208,208,211,211,213,216,217,218,219,218,218,219,219,219,217,213,178,131,101,194,171,127,136,208,217,211,206,209,209,209,211,212,216,217,217,218,219,220,221,221,218,218,221,189,153,119,100,174,146,120,49,143,203,204,218,209,209,209,212,215,216,217,220,219,220,222,219,220,209,165,197,191,173,90,143,197,152,115,99,165,144,98,157,220,208,208,214,216,216,218,222,222,221,221,221,228,212,149,177,232,176,84,187,213,155,120,136,150,126,86,57,161,221,208,215,216,217,220,221,222,223,220,232,244,216,161,157,218,142,80,216,213,135,124,189,166,127,92,64,83,219,210,216,218,218,220,221,224,225,220,239,227,207,158,100,107,110,57,132,155,76,141,229,167,147,86,47,74,213,212,218,219,220,220,224,225,223,229,251,223,180,136,103,37,26,85,139,162,133,186,228,161,110,56,44,82,217,211,218,219,220,222,224,223,227,244,222,211,156,120,97,28,104,211,217,204,188,205,157,104,80,79,54,84,225,213,219,220,223,224,225,222,242,246,206,168,154,174,90,134,230,219,204,194,173,186,186,123,124,118,70,120,228,212,220,222,224,224,225,226,255,240,212,184,154,180,168,242,230,209,199,204,181,181,180,136,101,104,60,179,225,214,221,223,224,226,226,231,255,245,226,222,186,188,217,224,230,205,209,197,169,182,160,115,84,71,61,212,219,216,221,224,226,227,226,234,255,250,235,220,207,194,208,211,216,205,204,186,178,175,138,95,76,49,92,231,215,217,223,225,228,229,228,234,254,252,235,213,194,193,197,206,213,203,199,181,174,146,108,77,70,37,133,236,215,219,223,224,226,227,227,232,252,248,219,194,188,198,198,212,218,202,189,174,148,112,84,68,63,30,170,235,220,219,222,225,228,228,229,232,235,227,213,210,208,201,201,223,210,190,167,156,128,94,77,67,41,67,222,225,222,219,223,227,227,230,231,237,247,248,242,233,217,195,197,221,196,167,143,134,105,85,77,42,50,193,230,222,222,222,225,226,228,231,230,246,255,249,239,223,209,194,192,211,181,148,129,110,92,75,41,73,195,232,222,224,223,223,225,228,229,229,232,254,253,247,234,211,199,195,197,192,164,137,114,96,65,54,135,221,234,225,226,225,226,224,223,227,229,226,236,255,247,237,225,209,192,192,197,180,154,122,90,59,67,189,239,227,226,227,226,226,225,223,231,226,227,223,245,244,233,219,218,206,182,188,184,157,136,113,70,53,193,237,225,228,225,226,226,224,223,220,179,225,234,227,243,223,216,208,205,192,192,187,174,143,115,95,55,154,236,225,229,228,227,225,225,224,224,222,76,80,152,250,228,205,195,191,191,201,191,175,165,130,105,71,75,219,232,231,229,228,227,226,225,225,224,224,87,67,61,184,216,194,182,191,203,206,177,159,151,117,94,48,128,241,232,232,231,228,227,227,226,225,225,225,75,79,80,59,82,99,95,104,125,145,142,142,133,104,77,45,189,240,230,232,232,230,228,227,226,225,227,223,74,71,78,63,2,26,33,29,27,29,37,58,79,80,44,84,222,232,232,232,232,231,229,226,225,225,224,224
4,113,120,129,134,136,138,141,143,146,147,149,150,152,154,155,156,157,159,161,162,163,164,165,166,166,167,169,169,115,121,129,134,136,139,143,145,146,148,150,152,151,152,153,157,161,159,161,163,164,165,165,166,167,167,168,169,116,123,129,134,137,141,143,145,148,147,147,149,155,163,148,143,147,163,160,164,166,165,167,167,167,167,167,168,117,124,132,135,138,142,144,146,147,157,160,144,141,167,176,153,122,127,149,133,153,168,166,168,168,169,168,169,119,125,133,136,139,142,145,145,145,175,185,171,143,120,172,152,122,97,146,114,115,172,165,169,169,170,170,170,119,126,133,137,141,143,144,161,163,152,134,172,148,108,140,145,112,93,133,119,110,170,167,169,169,170,171,171,121,128,134,137,141,141,157,192,176,147,109,149,144,104,117,157,123,93,144,134,105,165,169,171,170,171,171,171,120,129,136,138,141,139,168,174,174,144,108,127,159,110,95,161,136,84,155,140,96,163,172,170,171,172,171,172,121,130,136,138,142,139,172,172,156,161,135,103,164,131,67,131,162,111,124,128,138,130,158,173,171,172,173,173,123,130,135,139,144,140,173,172,140,151,137,82,118,123,80,117,167,141,122,128,140,122,133,176,171,174,174,174,124,132,138,140,144,140,173,178,161,141,118,103,95,116,111,124,144,145,141,131,125,142,124,167,175,174,174,174,126,133,138,141,145,143,185,178,154,139,128,109,111,132,118,134,146,143,134,130,147,159,125,148,180,174,176,175,126,134,139,142,145,147,192,176,147,131,119,107,116,129,131,142,155,137,111,146,173,161,140,131,180,176,176,176,127,135,139,142,144,152,195,172,149,133,120,113,121,128,145,147,158,168,168,152,153,164,147,120,170,179,175,176,128,135,139,143,143,159,200,175,151,134,126,116,123,134,152,157,165,178,176,168,161,146,137,108,152,183,177,178,130,136,140,144,143,157,204,177,156,141,125,116,123,136,156,166,176,181,176,169,161,142,123,101,147,185,178,180,132,136,140,144,144,156,205,182,164,147,125,122,125,137,163,175,181,182,175,168,154,140,122,100,163,183,178,180,133,137,139,144,145,158,208,183,168,152,136,131,130,141,170,184,185,180,170,161,151,135,113,113,183,178,180,180,133,137,139,144,145,156,202,184,173,158,149,134,137,152,175,191,188,180,169,156,143,128,99,140,187,178,181,181,133,137,140,145,148,151,192,188,179,166,159,146,141,165,171,188,185,177,168,152,136,114,100,172,182,180,181,181,133,137,141,145,148,147,182,191,183,173,164,156,145,160,168,182,181,174,164,149,134,105,126,188,179,181,181,181,134,137,141,145,149,148,171,199,185,178,167,157,148,156,165,181,178,166,161,148,132,104,162,184,180,181,182,182,135,137,141,146,149,150,164,206,188,177,165,153,150,155,166,175,169,158,150,146,123,123,185,181,181,181,182,182,135,138,141,146,150,151,162,210,183,172,165,157,156,158,165,166,155,149,139,131,117,169,183,181,182,182,182,182,134,138,141,146,151,151,163,204,175,172,170,168,163,159,161,163,152,143,134,108,155,184,180,182,182,182,182,182,135,139,142,146,150,149,166,200,176,177,175,171,171,162,157,158,149,138,116,118,185,178,181,181,183,183,183,183,135,138,142,146,150,150,167,201,189,179,171,174,177,163,151,148,143,132,101,145,185,178,180,182,183,183,183,183,134,138,143,147,150,150,168,198,194,178,173,179,178,158,148,143,142,123,99,166,183,179,182,183,183,183,184,184
17,115,116,117,120,123,125,126,129,130,129,131,132,134,135,137,138,138,138,139,139,140,140,140,140,139,140,140,140,116,117,119,123,124,125,127,129,130,131,133,134,135,137,137,139,139,139,139,139,141,141,142,142,142,143,143,142,117,118,122,124,127,127,128,130,132,132,134,135,136,138,138,139,140,141,141,141,143,142,143,143,143,144,145,144,119,120,123,125,127,128,130,131,132,134,135,136,138,139,140,140,142,143,143,143,145,143,143,145,144,145,145,145,118,121,124,126,127,130,131,132,134,135,137,138,139,140,141,143,143,143,140,147,144,144,146,146,145,146,146,145,119,121,123,125,129,131,131,133,135,135,137,139,140,140,143,143,143,147,125,102,104,97,150,146,147,147,147,147,120,122,124,126,129,131,133,134,136,137,139,139,140,142,143,144,143,153,149,85,55,76,150,147,148,148,148,148,121,123,126,128,130,132,133,135,138,141,141,141,143,144,144,145,145,154,158,106,48,83,158,147,149,148,147,148,122,124,126,129,131,132,134,136,139,139,140,143,144,141,148,147,146,150,164,126,58,103,160,148,149,149,148,150,122,124,128,130,131,133,137,137,137,139,141,140,146,127,110,151,147,151,164,124,74,132,156,151,151,150,149,150,122,125,129,130,132,134,137,137,139,140,142,144,152,137,92,101,150,164,160,118,77,142,155,152,152,151,151,150,123,126,129,131,133,135,137,138,138,144,133,113,146,154,139,120,97,128,152,120,75,141,157,153,152,153,151,151,123,126,130,132,134,137,139,138,143,167,132,83,125,152,167,154,104,61,115,113,77,140,158,154,152,152,153,152,124,128,131,133,135,138,140,137,153,138,143,115,114,100,138,169,135,71,75,96,71,137,158,154,153,153,154,153,125,128,132,134,135,137,140,137,161,129,100,104,73,40,81,184,153,93,58,74,62,138,159,154,154,154,154,153,126,129,131,133,136,138,141,142,158,118,86,103,80,67,81,180,167,116,60,64,56,134,160,155,155,155,154,154,126,129,131,134,136,139,139,148,163,137,121,110,89,111,97,169,172,127,73,60,57,128,162,155,156,156,155,155,126,129,132,136,137,140,138,158,155,118,111,105,101,120,145,169,153,133,83,55,54,130,162,154,157,157,156,156,127,130,132,135,139,141,139,165,142,115,105,106,114,134,191,167,134,122,81,50,47,132,164,157,157,157,157,157,129,130,132,135,139,141,139,172,145,123,108,108,117,173,183,163,131,111,76,50,48,142,162,159,157,157,157,157,128,131,133,136,138,140,144,175,148,133,110,109,143,189,169,157,122,105,70,47,65,162,158,158,157,157,157,157,127,130,134,137,140,138,151,177,149,140,124,110,162,185,164,154,115,93,68,41,103,167,156,158,158,158,156,156,128,130,134,138,142,139,156,183,152,149,140,119,166,173,156,149,118,81,61,50,145,161,158,160,160,159,158,158,128,132,136,139,141,139,152,187,159,154,147,129,152,167,153,142,112,79,49,87,169,157,159,159,160,160,158,158,129,131,136,139,142,142,147,184,167,150,140,138,142,157,148,151,108,73,46,119,168,156,158,159,159,159,159,159,129,132,136,140,142,145,144,179,163,149,134,136,145,145,146,152,109,71,50,138,166,160,161,161,160,160,160,160,129,132,135,138,141,142,147,177,160,150,135,135,145,143,146,143,100,68,70,161,162,161,161,161,161,161,160,160,129,131,133,137,142,142,151,180,171,151,140,143,150,137,142,129,89,57,113,169,159,161,161,161,161,161,161,160
7,176,178,179,180,182,182,184,184,184,185,184,185,184,184,184,183,183,183,183,182,181,181,180,179,178,177,176,176,177,179,181,181,183,183,185,185,185,186,186,186,185,185,185,184,184,183,183,183,183,181,180,179,179,178,178,178,179,180,182,183,185,185,186,187,188,188,188,187,187,187,187,186,185,185,184,185,183,183,182,180,179,179,179,178,180,181,183,184,185,187,189,188,189,189,188,189,189,188,188,186,186,186,185,185,184,184,182,182,181,180,180,179,181,183,185,186,187,188,191,190,190,191,190,190,190,189,189,188,188,186,186,185,185,184,183,183,183,181,181,180,182,185,187,188,190,191,191,192,192,191,191,190,190,190,190,190,189,188,187,187,185,185,185,184,183,183,182,181,184,186,188,189,191,193,195,198,196,194,195,196,196,196,195,194,193,193,192,193,191,188,187,185,185,184,183,182,185,186,189,191,191,190,179,173,181,186,180,172,173,173,178,178,176,173,177,168,168,182,185,186,186,186,184,184,186,188,191,191,190,178,152,132,134,145,154,147,140,132,144,159,158,145,156,134,155,188,164,186,188,186,185,184,188,190,188,186,179,170,163,153,130,117,132,138,140,129,133,148,147,143,141,137,146,166,152,186,190,188,186,185,186,183,177,172,173,177,178,160,118,105,118,128,122,103,111,108,112,120,115,114,119,123,158,190,178,186,188,185,179,175,174,175,169,160,170,145,100,110,120,134,133,122,108,117,144,158,150,135,146,147,174,209,150,173,192,187,177,174,172,166,158,153,157,151,118,96,101,116,122,132,127,116,145,161,153,144,143,141,133,146,146,188,191,189,176,169,164,160,160,158,158,160,138,97,76,77,87,105,110,107,119,118,120,115,119,129,141,160,190,194,191,190,171,165,161,158,157,156,157,150,126,97,77,86,146,126,123,130,142,152,161,172,189,197,199,200,195,193,192,191,165,158,153,152,146,146,144,137,118,91,84,76,172,216,201,204,208,208,206,203,200,197,196,196,195,195,193,192,160,156,153,152,151,149,147,144,128,92,81,80,100,209,203,204,202,202,200,199,199,199,198,197,196,196,194,192,160,159,154,154,150,150,153,154,131,93,84,84,82,197,209,204,204,203,202,201,201,201,200,198,197,196,195,194,165,167,163,154,147,139,142,141,121,99,94,88,73,168,214,204,204,203,204,203,202,201,200,199,199,197,195,195,166,166,163,153,146,136,131,125,109,102,102,95,78,103,214,206,206,205,204,203,202,202,201,200,199,198,196,195,161,157,148,136,130,123,117,112,102,99,104,93,72,122,215,206,206,206,204,203,203,202,201,201,200,198,197,196,148,144,129,113,102,100,103,86,83,93,94,113,160,195,209,206,205,205,204,203,203,202,201,201,200,198,197,196,113,122,114,97,115,152,192,166,137,143,173,203,216,209,208,207,207,206,205,204,203,203,202,201,201,200,197,196,53,64,59,126,212,210,210,215,215,214,215,211,207,208,209,208,208,207,206,205,205,203,202,201,201,200,198,197,38,38,42,188,211,205,207,207,207,209,209,209,210,209,208,208,208,207,207,206,205,203,203,202,201,200,198,196,47,33,113,214,203,207,207,208,210,211,210,210,211,209,209,208,208,207,207,206,204,202,202,201,202,202,202,202,53,42,191,210,206,209,210,211,212,212,213,213,212,212,211,210,210,210,209,209,208,206,207,207,201,196,188,176,55,48,181,196,192,194,195,196,196,196,196,195,195,196,194,193,192,191,191,190,189,187,177,145,112,99,83,71
17,179,182,185,186,188,190,190,191,192,192,193,193,192,191,190,190,191,189,188,188,186,186,184,182,181,179,177,175,180,184,187,190,191,191,192,193,194,194,195,195,195,194,194,193,194,192,191,191,189,187,186,185,183,181,179,176,184,188,190,192,193,194,195,195,196,197,198,198,198,197,196,195,195,194,195,194,192,190,188,187,185,183,181,180,185,189,192,193,196,197,196,197,198,199,200,201,201,201,200,195,200,199,193,197,194,194,192,189,187,186,184,182,189,192,194,195,196,198,199,199,200,201,202,203,202,203,199,209,211,170,160,203,196,195,194,193,190,188,186,185,190,194,196,197,199,201,202,202,202,203,204,203,203,205,199,217,240,144,132,206,198,198,196,195,193,191,189,188,193,195,197,200,201,203,204,205,206,206,206,206,206,207,205,206,252,179,139,207,199,200,199,197,196,194,192,191,196,197,201,202,203,204,206,208,208,208,208,210,209,209,208,209,255,217,153,205,203,202,200,199,198,197,196,193,197,201,203,205,206,207,208,209,210,210,210,211,212,210,209,217,255,240,158,193,209,204,203,202,201,200,198,196,200,202,204,207,209,210,211,211,212,214,214,213,212,213,207,232,255,242,161,179,214,207,205,203,203,202,200,198,201,204,207,209,211,211,212,214,214,214,212,213,238,239,200,201,251,253,167,169,217,207,208,205,204,203,202,199,203,206,208,211,213,212,215,215,215,218,222,214,255,250,226,177,202,232,182,161,217,210,209,209,207,205,204,202,205,208,210,212,215,215,217,217,215,253,255,218,198,239,236,247,241,180,150,154,217,212,212,210,209,206,205,203,206,209,212,214,216,216,218,217,222,255,243,234,181,197,178,240,253,200,129,136,217,215,214,212,210,209,208,206,208,210,214,215,216,217,220,219,227,255,174,195,218,139,115,143,253,235,153,114,209,219,214,214,211,211,210,208,209,212,215,216,218,219,222,219,232,248,191,179,169,142,141,116,237,255,190,109,186,224,215,216,213,212,211,209,212,214,215,219,220,223,225,221,236,255,233,193,167,166,176,156,223,255,215,126,177,226,216,218,216,213,211,211,214,215,216,220,223,224,225,221,241,255,202,175,179,196,200,211,255,255,224,143,173,230,219,219,219,223,222,211,214,215,219,221,222,224,225,222,239,255,220,196,193,214,209,255,255,249,211,149,171,233,220,224,210,174,165,138,214,216,218,221,222,222,225,223,236,255,240,208,193,218,231,255,255,244,196,143,177,231,222,215,136,117,115,110,214,216,219,221,223,224,226,226,234,255,250,228,200,223,255,255,255,232,189,136,172,229,228,170,113,121,116,115,214,218,221,222,225,226,228,229,233,255,255,242,220,220,255,255,249,225,183,125,176,244,179,114,102,90,83,69,215,219,222,224,227,228,229,229,230,255,255,252,240,227,249,255,238,218,181,118,168,172,113,101,93,74,72,57,217,220,223,225,226,229,230,230,229,255,255,255,248,231,225,252,226,216,170,121,116,113,112,103,86,63,59,62,211,215,220,223,225,227,229,232,230,246,255,255,243,219,209,225,213,216,165,116,98,109,105,109,99,66,50,53,141,143,147,150,147,148,151,155,153,178,255,255,228,201,197,204,215,207,152,108,75,92,93,90,111,88,51,44,120,124,126,122,122,122,121,121,119,142,255,232,204,189,191,201,212,186,123,99,81,60,84,74,98,106,64,42,132,134,134,130,135,137,136,134,141,93,226,229,198,188,200,197,190,156,95,36,64,55,63,67,79,104,81,47
4,185,184,185,183,182,182,180,180,180,179,178,178,177,175,174,173,171,171,169,167,165,164,162,160,159,159,159,156,186,186,186,185,183,183,183,183,181,180,179,178,178,176,174,174,172,171,170,169,168,165,164,162,161,159,159,158,187,187,186,185,187,185,184,184,184,183,182,180,179,177,176,175,173,170,170,170,170,167,166,165,163,160,159,158,189,188,187,187,188,188,186,187,185,184,183,182,182,183,181,176,177,179,171,169,169,169,168,166,163,162,161,160,191,191,191,190,188,188,188,186,184,185,185,173,162,166,165,173,150,145,174,175,172,172,167,166,165,164,162,161,192,192,192,190,190,189,189,187,186,187,185,172,163,158,133,105,113,105,113,166,161,165,174,166,166,164,163,161,193,193,191,191,191,192,191,190,188,173,174,156,116,83,140,87,46,115,99,75,80,74,130,175,165,165,163,161,194,193,192,193,193,193,192,190,184,182,173,159,123,48,96,97,32,90,97,45,51,66,58,172,168,166,165,162,194,195,195,194,195,194,193,193,190,144,101,130,156,76,85,116,106,94,76,36,82,96,46,137,177,166,167,164,195,195,196,195,195,194,194,191,193,155,74,30,163,127,89,118,147,126,83,85,83,106,68,122,181,166,166,165,196,197,196,195,196,196,195,195,182,125,68,5,69,103,51,75,91,122,97,97,86,96,69,91,182,167,168,167,197,199,198,198,197,197,196,197,174,131,104,77,38,48,49,39,27,81,113,95,83,83,81,59,170,171,168,166,199,199,199,197,196,198,197,195,180,160,125,82,44,48,65,54,59,53,67,77,82,113,110,47,140,179,167,166,199,200,199,198,199,199,198,195,185,148,102,70,43,48,58,70,91,75,47,66,149,140,117,61,102,183,166,167,201,201,201,201,201,201,196,197,183,141,100,59,41,48,64,85,89,79,88,106,121,142,137,89,73,180,168,168,202,202,201,202,202,201,197,196,188,158,118,71,48,58,74,93,92,99,137,157,136,140,144,99,50,167,172,168,203,203,203,204,204,203,200,194,183,160,128,82,50,57,78,105,116,126,146,152,148,132,110,86,37,159,175,169,203,204,204,204,204,203,202,193,182,171,141,101,62,54,81,108,132,150,161,157,136,119,93,54,48,174,172,170,203,204,204,204,204,204,202,192,176,177,151,115,82,57,67,125,148,167,165,153,126,106,81,25,104,185,170,170,204,204,205,204,204,205,204,190,172,172,155,123,91,67,69,142,160,166,160,141,113,93,59,36,170,176,173,172,205,205,205,203,203,203,204,187,167,165,164,134,97,83,82,148,161,158,150,127,100,81,30,104,189,173,175,172,206,205,205,204,204,204,207,186,165,168,165,140,109,94,95,148,157,153,134,107,88,60,37,172,180,176,174,172,207,205,204,206,206,205,206,192,172,177,170,145,118,92,92,147,148,141,119,88,73,25,107,193,176,178,175,174,206,205,203,207,206,207,207,197,176,182,165,145,126,96,86,135,135,121,98,77,41,45,183,183,179,179,177,175,207,207,206,209,207,207,208,198,187,181,164,149,131,107,88,113,118,100,81,58,17,148,192,180,179,179,177,176,207,207,208,209,208,206,209,198,188,177,161,145,129,117,99,96,104,86,66,17,98,198,181,182,180,179,178,176,207,208,209,209,209,208,205,192,187,177,164,155,143,128,111,89,89,71,37,50,190,187,186,183,182,179,177,176,208,209,209,209,209,210,194,182,188,178,161,157,142,123,113,88,77,59,22,137,198,184,186,183,182,180,178,177
1,48,68,72,78,87,102,112,120,125,128,131,132,135,139,142,143,144,149,148,148,150,151,151,153,153,154,154,154,53,68,72,80,88,106,114,120,125,129,133,134,136,140,140,155,130,117,154,152,150,153,153,154,154,154,154,154,57,69,74,81,89,107,115,121,126,130,134,135,139,142,143,166,119,88,137,133,155,153,155,155,155,155,155,155,61,69,76,82,92,109,115,123,128,132,135,136,139,148,131,160,117,107,131,98,157,154,155,157,157,157,156,156,64,70,76,83,94,111,118,124,128,133,136,137,141,158,111,153,113,116,142,94,150,157,157,158,158,157,158,158,65,71,76,83,96,112,120,125,130,134,137,135,151,151,110,160,115,118,145,91,145,161,157,159,160,159,159,159,67,73,77,84,98,114,120,126,131,134,138,136,157,142,104,155,111,119,150,96,143,163,159,161,160,161,161,160,69,73,78,86,101,115,121,128,132,133,151,133,141,135,105,158,112,117,144,94,142,165,161,162,162,162,162,161,68,73,79,87,103,114,122,129,132,135,160,109,140,122,124,163,107,120,153,93,140,166,161,163,163,163,163,163,70,74,81,88,105,115,122,130,130,145,156,96,144,110,143,159,100,135,165,95,141,167,163,164,164,164,165,165,70,74,81,90,107,116,123,131,129,161,140,99,156,111,133,138,86,140,152,94,146,169,165,165,166,166,166,166,71,75,82,92,107,117,124,131,133,169,124,99,148,92,124,122,82,150,145,89,151,169,166,166,167,167,167,167,71,77,84,92,109,117,126,129,141,173,116,92,134,125,127,133,145,153,138,88,155,169,167,168,167,168,168,168,73,78,84,95,111,118,127,127,154,166,112,105,140,162,125,138,146,141,128,87,157,169,168,169,168,168,168,168,73,78,85,96,113,120,127,127,166,166,151,142,158,159,152,142,127,122,110,86,156,170,168,169,170,171,170,170,73,79,85,97,113,121,127,133,178,153,141,143,136,128,164,166,154,129,106,83,157,171,169,170,171,171,171,171,75,80,85,98,114,122,123,152,177,136,116,110,96,95,158,159,155,142,117,83,158,171,169,171,171,172,172,172,75,81,87,101,116,123,122,165,169,131,128,133,121,150,172,162,143,127,107,72,145,176,170,172,172,173,174,173,75,81,87,103,117,123,123,169,173,144,129,133,155,193,176,154,136,105,93,68,117,181,171,173,173,173,174,173,75,82,87,103,116,124,125,166,184,157,139,133,160,196,180,150,130,100,81,69,104,180,171,174,175,174,174,174,76,82,88,104,115,123,126,160,185,156,144,137,156,189,172,149,121,99,79,65,125,181,172,175,175,175,175,176,77,83,90,106,116,125,127,153,181,155,149,139,145,178,165,141,114,96,79,76,163,178,175,175,176,177,177,177,77,83,91,107,117,124,129,145,177,161,158,148,158,173,149,127,106,91,71,112,181,175,177,177,178,177,178,178,77,84,91,108,117,124,132,138,165,161,156,145,157,161,136,115,100,87,70,149,180,176,177,178,178,179,179,179,78,83,91,109,118,126,132,135,155,159,153,142,134,139,128,109,101,83,79,167,178,177,179,180,180,180,179,179,77,82,90,107,115,125,132,134,145,156,151,141,134,135,133,119,102,76,92,176,175,176,178,179,180,179,179,179,76,81,90,107,113,123,131,135,147,161,157,149,143,134,133,122,98,71,113,181,172,175,177,178,178,179,179,179,76,80,90,106,114,123,131,134,172,161,153,158,144,132,117,109,95,65,116,182,172,176,177,179,179,179,179,179
1,174,176,177,178,178,180,181,180,180,181,181,181,183,183,183,183,183,183,181,182,183,183,182,181,181,182,181,180,177,179,181,181,182,182,182,183,183,185,185,184,185,186,185,185,185,186,186,184,184,184,185,184,183,182,182,182,180,183,183,184,185,186,186,186,187,187,188,189,188,187,189,188,190,181,180,189,187,187,187,186,185,184,184,183,184,186,186,188,188,188,188,190,190,192,191,191,192,192,164,183,204,176,138,196,190,189,189,189,187,187,187,186,186,189,190,192,192,191,192,192,192,194,195,193,200,202,134,178,208,165,133,195,187,195,192,191,190,189,189,188,189,191,193,194,195,194,195,196,195,196,194,187,210,191,134,188,205,148,149,194,145,182,199,193,193,193,192,192,192,193,194,195,198,198,197,199,198,202,189,153,194,176,137,201,200,137,164,202,134,166,205,195,195,194,194,194,194,195,196,199,201,199,201,201,199,210,186,140,178,173,144,209,203,144,181,204,134,167,208,198,199,197,196,196,196,198,200,201,203,203,202,204,202,212,171,141,176,166,152,203,191,142,194,200,129,171,208,201,201,200,200,199,199,200,202,203,204,206,205,205,204,216,167,149,165,153,139,197,173,139,207,201,134,181,209,205,204,203,202,201,200,202,205,205,206,206,207,208,206,216,160,144,165,160,131,210,169,151,214,189,136,191,210,206,206,205,205,204,203,205,206,207,207,207,208,209,210,219,168,134,166,161,134,213,165,163,214,179,134,202,211,208,207,206,205,205,204,207,208,209,210,210,211,209,212,221,172,123,151,137,125,192,142,185,218,180,141,212,212,210,209,208,207,206,206,207,210,211,211,212,212,211,216,221,175,143,175,187,172,193,176,165,204,171,151,220,212,212,211,211,210,208,208,210,210,211,212,213,213,212,222,218,183,160,145,189,211,205,205,156,157,158,163,223,213,215,213,212,211,210,209,211,211,212,214,215,215,215,228,207,172,149,126,133,159,178,216,199,140,114,181,224,214,216,214,213,213,212,211,212,214,215,216,217,217,217,233,210,171,140,133,136,139,173,228,224,172,108,197,223,217,217,216,217,215,214,212,213,215,217,217,218,216,221,233,205,166,144,144,149,183,202,200,218,188,128,204,223,218,218,217,217,216,217,213,214,216,218,219,220,217,224,230,203,171,144,154,157,207,220,202,184,169,128,175,229,218,220,219,218,217,217,214,214,217,219,219,221,218,226,231,205,174,156,156,179,227,219,195,175,143,116,180,231,220,221,221,221,219,217,216,216,218,219,219,221,220,226,229,204,175,166,155,193,233,221,185,162,134,113,205,229,222,222,222,221,220,218,216,218,218,220,220,221,222,224,226,205,183,173,156,191,233,212,175,151,123,131,223,224,223,223,222,222,222,220,217,219,219,221,221,222,222,223,222,206,188,183,152,194,226,196,165,141,114,180,233,224,224,224,225,225,223,223,217,220,222,221,222,223,224,225,226,209,190,182,152,201,213,187,160,128,125,219,228,226,225,225,225,225,223,223,218,221,223,223,223,224,223,224,230,210,194,172,153,196,187,173,150,115,158,236,226,228,227,227,227,226,224,224,218,220,222,224,223,225,219,225,230,224,202,170,164,187,171,164,141,114,202,234,228,230,230,228,228,227,225,224,218,218,220,222,223,222,218,227,226,223,203,175,174,177,166,156,122,154,232,229,229,229,229,229,229,228,226,226,219,220,221,221,222,218,220,219,207,209,196,173,171,161,156,131,127,215,233,229,229,229,229,228,228,228,226,226
12,189,190,190,189,189,191,191,190,190,187,185,186,185,184,184,184,182,182,181,179,178,176,175,175,175,174,172,171,192,192,191,191,191,192,192,191,191,190,188,188,187,187,186,185,184,183,183,182,182,180,177,177,176,176,175,173,195,195,194,194,194,195,195,195,194,193,192,192,189,189,188,186,188,187,186,184,184,183,182,180,178,178,177,176,198,197,196,197,197,198,197,197,199,196,194,194,193,193,192,194,190,189,189,192,188,183,184,182,182,179,178,177,199,199,199,199,199,199,199,199,199,199,197,198,195,182,152,163,196,191,179,166,177,192,185,184,184,183,181,180,203,202,200,200,203,202,202,201,201,200,200,199,199,184,157,109,167,192,167,137,107,170,195,188,187,185,184,183,206,205,202,203,205,205,204,202,203,202,201,199,209,203,174,139,107,158,185,152,102,114,197,175,188,190,186,185,206,206,205,205,205,206,206,205,205,205,202,206,212,214,188,161,106,105,195,159,122,88,120,137,123,176,192,186,207,207,207,207,208,208,209,208,207,207,209,208,192,205,196,158,129,86,176,166,136,81,76,131,99,113,199,189,209,209,210,208,208,208,209,210,208,196,188,200,189,195,190,153,116,69,161,166,136,80,69,121,96,70,188,194,210,209,210,208,209,210,211,208,206,180,140,152,182,176,184,140,99,75,175,158,127,74,67,114,91,63,185,196,212,211,211,211,213,214,211,202,208,187,167,144,141,132,187,150,110,89,183,146,120,70,81,124,92,81,202,194,214,212,214,213,216,215,212,208,208,202,188,175,120,95,187,185,127,98,183,149,112,74,118,138,82,122,210,195,215,216,216,214,216,214,216,200,176,199,199,180,147,107,182,183,123,103,198,173,113,105,146,126,73,165,206,197,217,217,217,216,217,213,218,202,147,156,198,184,155,99,127,158,100,126,212,168,106,136,172,128,81,191,203,199,219,219,220,219,219,216,223,220,183,105,136,179,131,86,64,82,56,87,173,147,97,166,186,121,129,208,200,202,220,219,221,222,219,219,211,192,160,115,86,159,113,88,71,74,61,84,120,91,96,214,181,106,131,217,202,204,221,221,222,224,220,214,218,205,183,150,94,126,128,107,94,92,92,153,182,158,155,165,135,79,82,215,204,204,222,222,222,222,221,212,224,217,192,146,107,108,138,131,99,99,165,190,193,173,180,153,87,63,87,213,206,205,224,223,223,223,223,211,223,225,198,158,138,117,128,139,119,170,218,209,204,168,165,157,108,63,131,221,205,207,223,223,223,224,224,212,221,225,202,174,147,132,130,154,198,218,226,218,202,165,152,141,99,64,183,216,207,206,225,225,225,226,226,214,214,220,201,178,148,138,136,172,224,222,221,210,187,157,140,123,86,81,215,212,210,207,227,228,228,227,228,215,208,211,203,179,148,147,139,185,227,219,215,198,172,151,130,113,67,128,226,210,212,211,228,229,229,227,231,216,206,212,201,177,152,151,145,200,221,220,207,182,162,147,122,95,72,200,219,213,213,212,229,230,229,228,231,221,205,208,206,187,162,148,146,206,213,214,198,172,152,135,115,68,118,229,214,215,214,213,230,230,229,229,231,227,207,207,206,197,170,145,143,199,205,201,183,161,139,119,99,60,186,225,217,217,216,214,231,231,229,230,232,230,208,207,204,190,163,146,141,181,193,184,166,141,122,104,66,103,228,217,221,218,216,216,231,230,230,232,233,229,209,206,200,183,158,146,144,169,182,172,152,130,105,86,61,192,227,219,221,219,217,217
21,126,132,136,136,139,142,146,148,150,153,154,155,156,158,159,159,158,162,160,159,159,157,158,156,155,155,154,154,127,132,136,138,140,143,146,149,151,154,154,155,158,159,160,161,162,139,155,161,160,159,159,158,158,156,155,155,128,133,137,138,141,145,148,150,153,156,156,157,159,161,160,166,176,99,122,167,158,160,161,159,157,156,157,157,128,134,137,138,142,146,149,151,153,156,157,158,160,162,161,170,174,101,122,171,162,162,161,160,160,160,158,158,129,135,138,138,143,147,150,153,153,155,158,160,161,162,161,173,168,106,123,171,162,163,163,151,121,152,162,158,131,135,138,140,145,148,150,155,155,156,159,161,162,163,162,177,168,108,125,173,164,165,162,139,92,142,166,160,131,136,139,141,144,148,151,155,157,159,161,162,163,165,164,178,168,113,126,173,165,164,159,132,97,158,163,162,130,136,140,141,144,148,152,155,158,160,162,163,164,167,164,177,166,115,121,174,165,164,156,122,108,168,162,163,131,137,141,142,146,149,154,156,159,161,162,164,166,167,164,180,166,118,112,175,166,163,154,111,131,171,163,164,132,137,140,142,148,151,155,158,160,162,163,165,166,168,164,187,173,115,116,176,165,158,147,101,151,169,165,164,132,139,142,144,148,152,154,157,160,162,163,165,166,169,167,189,165,110,125,177,159,158,128,103,167,167,165,165,133,141,144,144,149,153,155,158,160,162,164,166,168,160,169,182,145,99,125,177,161,160,107,125,176,166,167,167,133,141,144,144,149,154,156,159,161,164,164,174,156,126,133,152,116,88,126,173,167,148,96,153,174,168,168,168,134,141,144,145,149,153,156,160,163,165,166,173,154,121,109,92,90,95,134,161,159,123,103,173,171,169,169,169,134,141,144,146,151,154,157,161,163,164,170,171,164,157,140,109,77,101,127,139,137,98,128,180,170,172,171,170,134,142,144,146,152,155,158,162,165,164,177,188,176,194,165,127,85,85,100,111,114,90,155,179,172,173,173,171,136,144,145,146,152,156,159,162,164,168,170,162,174,182,154,110,90,83,89,98,98,98,173,175,173,173,173,172,137,142,145,146,152,155,160,163,164,176,162,132,169,139,145,122,99,90,82,89,86,111,180,175,174,174,173,173,136,142,144,147,152,156,160,164,164,176,181,151,126,90,137,144,112,93,88,84,81,115,182,176,176,174,173,173,136,143,145,148,153,157,160,164,164,179,169,129,111,98,115,155,125,104,92,89,80,107,183,177,177,176,174,174,137,144,144,148,153,157,161,165,165,185,168,143,147,121,143,178,134,125,102,91,84,111,182,178,177,177,175,175,138,143,144,148,153,157,162,166,166,191,172,161,141,133,197,184,140,131,108,94,87,116,184,179,178,178,178,175,138,143,146,149,154,158,162,166,167,188,188,165,133,167,201,168,134,123,112,99,90,120,184,179,180,179,179,177,138,142,145,149,152,157,162,165,166,190,193,154,143,172,192,161,141,117,112,103,90,135,186,178,180,179,178,177,137,141,144,147,151,157,161,163,163,186,174,149,154,165,191,162,151,127,101,101,89,144,185,178,179,179,177,177,137,142,143,146,152,157,161,163,164,180,161,165,160,156,192,160,142,128,104,101,93,151,186,179,179,178,178,177,137,142,143,147,152,158,162,165,167,172,166,187,159,162,182,151,128,114,104,99,95,161,185,179,180,178,179,178,136,142,143,147,152,157,162,165,167,169,173,178,151,146,169,142,118,104,101,95,95,168,183,179,180,179,178,178
13,131,131,133,136,136,137,138,138,139,140,140,140,139,140,140,140,137,137,136,135,135,135,132,130,129,128,126,126,131,132,134,137,138,139,139,140,140,141,142,143,146,141,141,143,144,139,138,137,135,135,134,133,132,130,128,127,132,134,135,137,140,140,141,142,142,143,131,105,112,149,129,102,111,143,139,139,137,136,136,135,133,133,131,129,133,135,137,139,141,141,142,144,143,147,130,100,74,103,111,85,45,116,148,139,139,139,138,136,134,133,132,130,134,136,138,140,141,142,144,145,143,154,150,116,94,48,103,99,53,77,153,140,140,140,139,137,135,134,133,131,134,137,139,141,142,143,144,145,145,147,153,118,89,45,78,94,53,61,151,142,142,140,139,138,137,135,134,132,135,138,140,143,143,144,145,146,150,151,143,116,82,48,54,72,42,54,150,143,143,141,140,139,139,137,136,133,136,139,141,143,145,146,147,146,135,139,130,114,85,60,50,83,44,63,153,143,144,143,142,141,140,139,137,134,137,139,141,144,146,147,147,133,91,72,79,117,117,74,59,90,54,68,156,144,145,145,143,141,140,139,137,136,138,140,143,145,147,147,157,132,91,77,58,116,130,83,50,78,51,35,133,151,146,146,144,142,142,140,139,137,139,141,143,145,146,140,109,113,109,97,63,47,86,54,43,52,50,46,78,155,146,146,145,144,143,141,139,138,140,142,145,143,152,133,79,66,118,101,85,30,7,14,38,55,68,78,49,123,154,145,145,144,144,142,140,139,140,143,143,153,159,117,91,72,93,111,85,61,12,36,42,72,90,89,55,76,158,146,146,145,144,142,141,140,140,143,145,158,123,116,106,91,66,104,93,74,24,46,98,107,94,77,58,63,156,147,146,146,145,143,142,140,140,143,146,159,120,96,102,86,66,79,83,53,22,57,111,119,102,71,44,77,159,147,148,148,146,145,143,140,141,142,149,148,121,84,76,76,51,33,56,47,30,79,119,112,100,70,32,104,161,149,148,146,145,145,143,140,141,144,147,149,141,115,79,53,33,21,53,59,60,125,127,106,92,64,33,132,158,150,148,147,146,145,143,141,142,145,146,148,145,125,101,85,68,66,76,76,118,143,120,98,82,56,47,153,153,151,150,148,146,146,144,142,143,146,147,147,142,130,111,91,74,77,110,137,139,129,111,91,75,44,68,163,152,152,150,148,147,145,144,143,143,146,148,149,132,119,108,89,76,78,102,135,130,118,99,81,68,32,93,165,152,153,151,148,146,146,145,145,143,145,148,150,126,118,110,93,88,82,94,126,129,115,91,70,59,27,126,162,154,152,151,150,147,146,146,144,143,145,147,152,140,118,111,100,92,81,88,120,121,104,78,60,38,50,160,155,154,153,152,151,148,146,146,144,142,145,147,151,152,124,111,103,90,80,78,103,109,91,66,53,24,109,166,155,156,154,152,151,149,148,147,145,143,145,149,151,154,148,118,99,86,80,77,91,103,85,65,45,41,155,157,156,155,154,153,151,149,148,148,145,143,146,149,152,153,153,132,107,91,85,89,90,99,86,63,36,84,168,155,156,156,155,153,151,151,150,148,145,143,146,148,150,151,148,138,116,110,108,104,96,99,83,56,37,122,164,155,155,154,154,153,150,150,148,147,145,142,144,147,151,151,141,146,127,120,115,106,102,92,73,51,41,145,158,155,153,152,152,151,149,148,146,145,144,141,145,147,150,150,138,151,130,122,121,106,94,76,69,43,52,158,156,156,154,153,153,152,150,148,146,144,144
13,142,154,162,165,170,177,186,191,196,199,201,205,210,213,215,217,222,223,224,226,226,227,228,226,226,226,228,229,142,155,165,168,173,180,188,193,196,199,202,207,210,214,218,220,223,224,225,227,229,227,229,229,229,229,230,231,147,159,168,170,176,183,192,196,199,203,206,209,213,216,220,223,226,223,224,225,229,236,233,232,231,233,232,232,149,163,171,172,178,185,192,197,201,205,208,212,215,218,222,224,226,242,250,231,174,202,234,233,240,233,235,235,151,163,172,175,180,187,194,200,204,208,212,215,219,222,224,230,229,254,255,231,157,110,149,173,210,243,234,236,153,164,171,176,182,189,195,202,207,210,213,217,223,221,237,212,177,182,233,237,157,98,131,170,107,214,245,237,156,167,173,176,184,191,197,204,207,212,216,220,220,236,255,232,191,138,182,244,207,106,148,172,94,193,250,237,158,169,175,178,185,192,200,206,208,214,214,229,214,170,243,255,229,162,95,220,228,112,143,186,100,212,249,240,160,171,178,180,187,193,201,207,211,211,224,255,222,147,128,255,255,195,93,114,196,106,161,211,120,233,245,243,161,172,179,183,188,196,204,209,211,220,255,255,246,195,97,194,255,182,114,43,99,72,158,186,150,255,241,244,163,175,181,184,191,200,205,210,211,255,225,215,255,216,117,121,248,164,106,43,71,115,159,149,113,235,251,246,166,179,183,184,195,203,208,207,238,255,223,187,235,195,123,93,219,171,106,49,124,181,173,149,122,165,255,245,168,179,185,189,197,205,210,211,254,246,203,170,217,158,107,65,205,209,110,105,218,210,170,119,128,118,233,253,171,181,186,191,200,209,212,223,255,237,201,146,189,145,101,33,173,208,105,197,245,203,166,129,121,101,218,255,174,185,187,191,204,214,216,227,255,250,219,159,141,151,82,49,162,217,194,246,222,186,156,125,100,114,254,253,178,187,190,195,209,217,219,235,255,255,226,178,121,120,121,184,243,255,255,236,205,167,143,121,81,181,255,251,182,191,192,199,211,220,222,243,255,255,231,184,177,181,192,226,252,250,248,226,188,161,133,104,89,242,255,254,185,194,196,204,216,223,223,248,255,255,244,203,209,189,193,238,241,254,236,210,178,153,126,85,118,255,255,255,189,197,200,209,221,228,229,248,255,255,255,223,219,191,205,254,238,243,219,188,161,137,117,66,195,255,255,255,192,199,203,213,224,233,237,238,255,255,255,236,219,195,208,244,245,215,197,169,150,134,87,139,255,255,255,255,196,204,207,216,227,234,241,237,255,255,255,246,226,210,204,227,237,206,180,156,142,113,115,255,255,255,255,255,199,207,210,219,229,236,241,246,243,255,255,252,246,230,207,217,227,199,160,142,129,99,234,255,255,255,255,255,202,208,213,221,233,240,244,250,234,255,255,252,248,229,202,207,208,185,137,134,102,177,255,255,255,255,255,255,204,212,214,225,236,244,248,253,239,255,239,218,231,220,198,198,193,169,140,118,115,255,255,255,255,255,255,255,206,213,216,228,238,246,250,255,243,255,240,221,241,236,216,188,185,164,152,98,164,255,255,255,255,255,255,122,207,212,217,229,238,245,250,255,240,255,255,234,255,240,221,184,178,162,155,90,193,255,255,255,255,216,109,64,208,213,218,230,239,246,250,255,247,255,255,255,255,244,223,191,177,162,152,88,206,255,255,255,155,66,46,53,209,215,220,232,241,247,252,255,244,244,255,255,255,241,218,196,179,165,148,85,199,255,255,199,78,77,62,28
13,190,191,194,195,195,196,198,200,201,201,201,202,203,203,202,203,203,202,202,202,203,202,202,203,202,201,201,200,190,192,195,196,196,198,201,202,203,202,203,203,204,205,205,205,204,204,203,203,202,202,203,203,202,203,203,203,192,194,197,197,199,201,202,203,203,204,204,205,206,207,207,207,207,206,205,207,203,203,204,205,205,204,205,204,194,196,197,198,200,202,203,204,204,205,205,206,208,209,207,208,207,212,213,201,209,204,207,206,206,207,206,205,196,197,199,200,202,202,204,206,206,207,207,207,209,208,208,208,209,241,225,171,184,215,202,208,209,208,208,207,197,199,201,202,203,204,206,207,208,208,208,209,207,211,210,207,221,245,214,158,180,235,175,161,210,209,209,208,198,200,202,203,204,205,208,208,209,209,210,209,212,242,221,195,237,236,224,151,197,225,177,120,179,216,209,209,199,201,204,205,206,207,209,210,210,211,211,205,229,251,235,199,205,204,183,118,200,221,168,113,157,222,209,211,200,203,205,206,208,209,210,210,210,213,212,223,217,243,244,221,165,116,122,110,196,187,126,99,164,222,211,213,202,204,206,208,210,210,211,212,213,210,232,249,206,193,251,230,186,112,105,144,206,177,137,108,169,223,214,215,204,205,206,208,211,211,212,215,212,217,251,249,233,172,221,231,184,135,81,116,214,232,228,149,172,224,214,216,204,206,208,209,211,213,214,216,211,236,247,249,246,199,164,211,173,129,87,139,213,224,222,182,178,224,216,219,205,208,211,211,212,215,216,216,214,248,236,236,238,204,133,182,200,132,138,239,235,215,196,186,160,220,218,219,206,208,211,212,214,216,217,214,230,251,239,218,207,170,112,159,218,164,224,250,236,217,189,170,148,217,222,219,207,209,212,214,215,216,218,215,233,251,243,221,195,169,127,103,198,233,249,240,233,210,183,147,165,226,220,220,209,211,214,216,216,216,219,217,231,251,245,221,185,183,153,129,240,251,248,241,223,192,172,137,185,229,221,221,210,212,215,217,216,217,219,217,237,251,247,230,216,192,214,230,251,249,246,237,211,188,164,132,195,230,222,222,210,213,216,217,218,219,222,219,238,251,250,239,234,217,226,236,250,245,238,232,206,180,147,131,213,228,223,224,212,214,217,218,218,221,224,219,234,251,250,245,236,224,223,228,249,239,227,226,204,161,128,162,233,224,226,225,213,216,217,219,221,221,223,222,229,251,251,250,237,221,225,229,239,225,217,213,179,137,125,215,231,225,227,227,215,217,218,220,222,224,227,224,220,243,238,227,211,205,220,225,239,226,214,194,152,108,161,238,226,229,228,228,216,218,220,220,222,221,183,173,170,164,149,135,131,128,129,134,145,138,139,137,119,127,233,231,228,229,229,229,215,218,221,221,225,215,152,153,153,145,132,126,121,114,106,102,86,78,75,71,70,90,165,229,231,229,229,229,217,219,221,222,226,224,161,152,154,142,132,128,124,114,108,100,92,85,79,72,68,67,55,126,240,227,231,231,218,220,221,223,226,230,168,150,149,139,132,128,121,111,103,96,87,80,75,71,67,72,57,160,243,231,232,232,216,219,221,222,224,231,171,151,148,140,138,130,119,108,100,95,87,79,74,70,69,56,123,246,232,234,232,232,216,219,220,222,224,230,173,147,149,138,136,129,116,103,96,92,86,79,74,71,68,68,215,239,233,233,233,233,216,219,221,224,226,230,172,146,145,138,132,123,111,101,95,92,86,80,74,71,59,113,243,231,235,233,233,232
4,180,182,185,187,189,191,193,195,195,197,197,198,200,200,200,201,200,200,198,199,199,198,198,197,197,197,196,195,180,183,186,188,190,192,193,196,197,198,199,202,202,200,198,199,204,201,201,200,200,199,199,198,198,197,197,196,182,185,187,189,192,193,195,197,198,198,198,194,199,212,198,164,173,206,201,202,201,200,200,199,199,199,197,197,182,186,187,190,193,195,196,199,197,210,204,174,166,227,205,167,130,207,207,205,203,202,201,201,201,200,199,199,184,187,190,192,194,196,197,197,193,232,223,186,143,204,210,168,124,164,179,189,207,202,203,202,202,201,200,200,185,188,192,193,195,194,204,218,201,181,222,204,153,181,216,169,109,124,168,139,181,209,202,204,203,202,201,201,186,188,192,194,196,197,224,230,207,143,201,207,149,159,205,156,105,130,172,143,123,206,205,204,203,203,202,201,186,189,192,195,196,200,221,213,198,140,187,191,142,135,177,147,102,147,180,146,110,197,209,205,204,204,203,202,186,191,193,195,196,197,220,199,200,143,173,181,139,114,153,137,113,192,185,138,111,200,209,205,204,205,204,203,187,191,193,196,198,198,224,193,186,175,161,185,167,117,140,121,120,191,160,113,111,208,208,205,205,206,204,203,189,192,194,197,199,199,230,219,190,155,127,196,181,176,167,158,160,178,170,129,112,212,209,207,207,206,205,204,189,192,196,197,198,203,233,214,186,149,120,134,138,188,171,183,198,207,201,150,127,214,209,209,207,207,207,206,190,193,196,198,198,209,231,196,164,144,128,116,110,139,172,181,192,198,186,148,123,206,210,209,208,207,207,207,190,193,196,199,197,216,230,198,169,140,121,119,128,127,147,161,161,168,174,158,115,181,217,209,208,207,208,208,190,194,196,200,196,220,230,202,169,143,130,126,132,152,146,150,171,177,186,169,123,152,221,208,209,209,208,208,191,194,197,200,198,225,227,196,161,138,132,126,128,159,156,187,206,207,210,180,140,119,210,212,210,210,209,208,192,195,198,201,200,227,225,196,163,143,133,132,134,156,171,213,223,216,220,191,151,106,177,221,210,213,210,210,193,194,198,201,201,225,219,196,168,154,144,137,137,155,209,221,224,209,204,180,147,106,171,222,211,212,211,210,192,194,197,201,200,223,214,196,173,156,144,139,143,189,231,227,215,201,179,160,128,114,203,216,212,212,211,210,192,193,197,200,199,221,220,198,165,147,141,147,164,220,231,223,201,181,160,138,108,154,220,212,212,212,211,209,192,193,197,200,199,217,225,200,173,171,154,156,183,229,224,211,188,167,145,120,113,206,215,212,212,212,211,209,192,195,197,200,201,211,221,206,185,181,164,143,194,228,212,195,173,154,132,102,158,223,213,214,213,212,211,210,192,195,197,201,202,210,225,208,186,182,166,143,202,217,195,175,153,135,116,110,209,217,214,213,213,212,211,210,192,195,197,203,198,212,231,216,193,177,155,144,198,201,177,158,135,123,95,160,223,213,214,214,213,213,211,210,193,195,197,202,195,229,230,208,184,163,136,151,188,173,145,131,120,101,119,214,214,213,214,213,213,212,211,210,194,196,201,198,208,237,222,207,189,157,145,163,172,141,122,119,110,108,200,220,215,216,215,215,215,215,213,213,185,186,189,186,225,229,222,212,186,164,158,162,157,131,124,127,105,164,208,202,204,205,204,205,205,205,204,204,142,142,135,162,232,215,206,198,171,161,171,147,136,125,121,117,111,137,138,138,138,137,137,138,138,141,141,140
20,149,150,150,151,151,151,152,151,152,152,152,151,151,151,151,149,149,148,146,146,145,143,141,141,140,139,137,136,151,151,152,154,153,154,154,154,154,155,154,154,153,152,150,151,151,149,149,148,146,145,143,142,141,139,138,138,155,155,156,156,156,157,157,156,157,157,157,157,155,162,157,117,155,156,150,151,149,148,147,145,144,142,141,140,157,158,160,159,159,159,160,160,160,160,160,160,158,164,166,106,122,144,156,152,151,150,150,148,147,145,143,142,160,162,162,162,163,163,164,163,162,163,163,163,162,166,166,103,88,106,146,158,154,153,151,151,149,147,146,144,164,164,165,165,166,166,166,165,165,166,166,166,164,171,164,89,115,122,121,166,157,156,155,154,152,151,149,147,166,167,167,168,169,169,168,169,169,169,169,170,167,175,164,90,134,138,103,166,160,160,157,157,155,153,152,151,170,170,170,171,172,172,172,172,172,172,173,173,168,183,168,97,136,148,101,163,164,162,161,160,158,155,154,152,173,173,173,173,174,174,174,174,175,175,175,174,171,189,155,91,144,163,104,158,169,164,164,163,161,158,157,156,175,175,175,175,176,177,176,176,176,178,178,176,176,197,143,95,160,161,100,154,173,167,166,165,164,162,159,158,177,177,178,179,179,179,179,179,179,179,179,166,154,178,152,106,166,161,96,150,176,168,168,167,165,164,162,161,180,181,181,181,181,181,182,181,181,181,182,189,176,151,136,104,144,166,109,148,177,170,170,169,168,166,164,163,181,182,182,183,184,184,184,183,183,183,183,171,186,168,146,124,129,163,114,143,181,172,172,171,170,167,166,165,183,184,185,185,186,185,185,185,185,185,188,161,128,157,174,124,91,124,104,135,184,174,175,173,172,170,168,166,185,186,186,186,187,186,187,187,187,186,189,177,83,130,173,132,90,84,84,126,187,174,176,175,173,171,169,167,186,187,187,187,187,187,188,188,187,188,190,171,97,109,162,156,115,104,77,112,188,178,178,176,175,174,171,169,188,188,188,188,188,188,189,189,189,186,183,166,136,102,96,144,140,124,83,94,188,179,179,177,176,175,173,170,188,189,189,189,190,190,190,191,190,186,181,172,158,126,89,114,137,125,91,82,183,183,181,180,177,176,174,172,190,191,191,191,191,191,191,192,186,179,144,138,165,146,108,97,124,151,119,77,165,190,181,181,180,178,175,173,192,192,192,192,192,192,194,193,184,180,155,97,112,149,97,81,103,153,145,88,115,194,182,182,181,179,177,176,193,193,193,194,194,194,194,194,186,175,149,114,80,117,96,78,121,169,164,112,80,181,188,184,181,181,180,177,194,195,195,195,195,195,195,196,186,178,171,135,89,108,112,97,169,184,157,108,83,182,188,185,184,182,180,178,195,196,197,197,197,197,197,198,185,180,182,135,107,112,152,171,192,165,145,85,101,194,186,186,185,182,179,178,197,197,198,199,198,197,197,200,186,178,177,148,117,109,179,200,181,148,131,75,130,198,185,187,186,183,181,180,198,197,198,199,199,199,198,201,189,168,165,150,120,108,172,182,164,135,114,76,160,196,187,187,186,185,181,180,196,197,197,197,198,198,198,201,192,166,164,149,128,115,166,178,154,125,96,80,185,191,188,187,186,184,184,189,197,198,198,198,198,199,199,199,200,174,161,152,139,116,159,173,142,110,72,118,200,188,188,186,186,188,178,139,199,199,199,199,199,200,200,201,202,181,167,153,137,113,134,148,116,89,66,171,197,189,189,187,180,145,98,60
11,129,134,140,147,151,155,159,163,166,168,169,170,172,176,175,175,175,175,175,175,175,174,172,176,139,114,156,198,132,136,142,148,152,157,160,164,167,169,171,170,189,161,174,174,175,175,174,174,174,172,170,176,146,130,158,202,135,140,146,152,156,160,163,167,170,172,174,170,210,139,156,181,175,176,176,175,174,172,172,169,159,201,193,197,139,144,152,157,162,166,170,174,175,177,178,175,224,148,132,187,177,178,178,176,176,175,174,167,186,170,195,198,144,148,156,162,167,172,176,179,182,183,184,182,227,143,122,191,182,182,182,181,180,179,177,177,180,148,205,198,148,153,163,169,172,177,181,185,188,190,190,191,226,134,129,197,188,189,188,187,186,184,183,178,181,199,193,198,151,157,168,176,180,183,187,191,195,196,196,202,234,130,137,205,193,195,194,193,191,189,187,184,185,169,156,200,153,161,172,180,185,190,194,197,200,203,198,223,237,107,154,211,199,200,199,198,197,195,193,189,188,179,179,198,156,166,179,185,189,195,200,204,205,209,203,231,217,107,174,216,206,206,206,204,202,200,198,195,193,189,194,204,159,169,182,190,194,199,204,209,211,209,226,229,136,98,184,219,210,210,209,209,208,205,203,201,198,194,197,216,163,173,186,193,199,204,209,212,212,215,214,218,143,98,193,222,215,215,215,215,213,210,208,206,203,198,198,217,167,177,190,197,202,208,213,218,239,235,129,127,166,113,199,225,219,220,219,218,217,215,212,211,206,204,207,216,170,181,193,200,206,209,216,203,226,221,141,102,158,127,181,232,221,222,223,221,220,218,216,213,212,199,186,220,171,183,195,204,207,214,242,185,114,152,179,117,135,128,159,237,224,227,226,225,225,222,222,218,228,139,109,225,174,187,199,203,218,243,230,203,158,110,162,136,109,135,128,234,229,231,230,226,220,208,192,189,185,101,82,115,177,190,199,218,244,203,157,187,202,130,113,125,99,150,121,217,240,231,223,215,220,200,175,173,151,102,89,78,178,192,201,241,228,164,123,114,190,138,96,117,89,168,164,168,224,222,228,227,217,189,160,138,117,93,85,84,181,193,204,238,207,147,117,81,157,146,99,131,81,129,175,115,181,228,231,203,161,127,89,70,81,77,80,83,182,195,202,228,188,134,110,89,125,156,108,146,105,136,164,151,196,210,180,130,99,77,67,70,71,70,72,81,184,197,203,227,207,155,125,105,104,134,128,155,136,205,179,147,169,150,105,68,77,83,67,65,67,68,77,49,183,197,205,233,213,162,137,114,112,125,169,205,211,207,162,135,132,72,66,71,62,79,79,59,59,66,66,44,183,197,204,234,219,180,151,119,126,137,211,242,228,185,142,121,82,66,53,76,63,61,79,72,55,55,55,58,183,197,205,229,219,190,154,129,138,145,218,226,195,161,133,87,41,76,60,57,74,61,64,73,65,53,55,56,187,201,213,223,214,199,161,145,144,148,200,215,178,141,121,84,38,55,77,54,64,71,58,59,69,55,53,55,155,164,169,183,214,203,168,160,146,147,182,202,171,136,97,75,53,39,73,70,55,65,67,54,60,63,46,54,128,129,124,141,214,198,175,167,145,135,171,173,148,111,53,63,68,32,58,73,63,59,62,58,51,62,50,43,135,136,132,148,218,203,181,165,145,127,148,140,114,72,40,54,77,38,42,72,67,62,58,56,48,52,55,43,134,135,135,139,214,204,174,157,142,130,136,127,69,55,52,46,76,55,30,59,71,60,58,56,52,49,46,48
6,208,209,208,208,209,209,209,208,207,208,208,207,206,206,202,202,201,199,199,198,196,193,192,191,190,188,185,182,213,213,213,214,213,213,213,212,211,212,211,209,208,206,205,204,203,202,201,199,199,197,195,193,192,190,189,186,215,216,216,215,215,217,216,215,214,214,215,213,212,211,209,207,207,205,204,203,201,199,198,196,196,193,191,189,217,218,217,217,218,217,217,218,217,217,218,216,215,215,213,211,209,208,206,205,203,203,201,199,199,197,193,191,221,221,220,220,221,222,221,220,220,219,220,220,218,216,216,214,213,210,209,208,206,205,204,202,200,200,197,195,222,222,223,222,222,223,223,222,222,223,222,221,220,220,217,216,215,214,213,211,209,207,207,206,203,201,199,198,223,223,225,225,224,225,225,225,224,225,224,223,222,221,220,218,217,216,215,214,211,209,208,207,205,203,201,198,225,226,226,227,228,228,228,227,227,228,226,226,225,223,221,221,219,219,220,219,218,215,214,213,209,204,205,202,228,227,228,229,229,229,229,230,229,229,230,230,229,230,229,226,224,216,209,202,195,196,192,178,180,192,187,203,229,228,229,228,229,230,231,230,234,233,227,219,212,209,199,187,178,176,153,147,157,165,156,146,186,225,175,184,230,230,230,231,231,230,231,234,220,190,168,166,161,167,168,164,160,158,149,144,162,143,144,139,140,157,145,192,232,233,232,233,231,234,229,210,191,175,152,155,162,166,173,166,157,127,121,109,105,108,126,130,137,164,194,211,234,234,234,235,238,219,195,190,189,170,133,111,123,123,114,113,115,108,119,152,184,202,212,217,223,223,216,211,234,235,236,239,212,184,186,187,180,166,144,103,76,51,157,218,225,224,227,235,233,228,224,222,216,216,214,214,235,237,239,212,181,186,190,189,191,190,175,122,72,63,96,138,176,227,232,227,227,224,223,223,221,219,217,216,240,235,209,191,193,196,199,198,196,195,147,85,66,69,64,58,50,98,233,230,229,228,226,224,223,220,219,217,222,193,189,201,200,198,202,186,183,177,107,67,59,63,73,77,77,52,175,242,228,230,228,225,223,222,219,216,189,189,201,204,200,199,190,175,182,178,149,118,67,47,59,65,70,40,118,245,229,229,229,226,224,223,220,218,193,196,200,204,205,196,178,180,186,185,190,150,83,59,60,52,61,126,214,234,230,229,229,227,225,223,221,220,196,197,204,208,198,182,174,177,175,175,171,117,68,62,65,62,69,240,242,231,232,230,229,228,226,224,222,220,197,200,201,194,183,176,175,173,164,156,147,105,56,48,60,54,79,232,235,233,233,230,229,227,225,224,223,221,198,194,181,175,181,179,171,164,149,146,156,142,80,50,53,67,211,240,232,230,231,229,228,226,223,220,219,219,184,173,168,175,171,157,145,140,145,158,174,159,87,66,64,69,234,237,233,230,229,228,228,225,228,231,227,216,176,173,173,163,149,139,142,147,152,154,157,117,68,56,43,113,240,234,233,232,235,233,233,237,211,178,140,101,170,167,158,146,145,144,142,128,119,111,95,56,74,113,151,235,238,244,245,237,216,216,215,186,100,67,51,56,153,140,115,117,134,137,126,102,81,70,77,141,232,252,254,245,242,184,155,117,78,86,76,64,54,68,54,45,104,83,60,74,97,98,88,75,79,124,177,212,216,212,215,218,161,81,77,55,36,54,41,48,45,43,54,31,80,54,67,102,108,105,102,102,113,119,119,112,110,112,111,94,72,69,60,64,31,44,42,37,40,37,41,32
23,126,131,133,137,139,140,142,144,146,147,148,149,149,149,151,150,149,149,149,148,149,148,147,147,147,145,144,144,127,131,135,139,141,142,144,145,147,149,149,150,150,151,152,153,151,152,152,151,151,149,150,149,148,147,146,146,128,132,137,140,142,144,145,147,148,150,152,153,153,153,154,154,153,152,154,158,154,151,151,152,151,150,148,147,130,134,138,142,144,145,146,149,151,152,153,154,155,155,154,156,160,149,127,130,152,155,154,153,153,152,150,149,132,136,140,143,146,147,149,150,152,154,155,156,156,156,163,164,164,151,146,119,136,147,154,156,154,153,152,152,134,138,142,145,147,148,151,153,153,156,157,158,158,177,160,157,179,124,130,139,136,92,131,162,155,155,154,152,136,140,143,147,148,150,153,154,156,157,160,157,173,174,144,118,124,70,105,110,91,100,154,160,158,157,156,155,138,143,146,148,150,152,154,156,157,158,161,159,183,165,157,69,102,143,165,161,153,164,162,161,160,159,158,158,139,143,147,149,152,154,155,158,159,161,162,166,185,167,165,87,127,178,161,166,167,161,162,162,161,161,160,159,140,143,147,150,153,155,157,159,161,162,159,169,178,165,163,133,150,163,149,115,149,166,163,164,162,162,161,161,140,145,150,152,154,158,159,161,162,171,167,158,156,158,172,172,174,168,150,78,101,178,164,165,164,163,162,162,142,147,151,154,156,158,161,161,166,186,171,152,140,146,154,145,143,135,123,81,91,180,164,167,167,166,165,163,144,148,152,155,158,160,162,160,172,189,172,147,120,126,163,168,161,148,129,82,78,177,167,169,169,167,167,166,144,148,152,155,158,161,164,162,181,189,175,147,127,124,135,139,145,157,138,82,62,174,171,170,169,168,167,167,145,149,154,157,159,162,163,166,189,191,178,159,158,160,144,119,106,115,107,70,58,169,174,170,171,169,168,167,145,151,156,158,160,163,163,173,194,189,176,159,158,146,158,143,124,111,81,62,51,91,159,181,171,173,170,168,148,151,156,160,161,165,166,186,192,190,178,151,141,114,142,158,129,102,70,54,63,96,90,152,180,172,172,171,147,153,157,160,163,161,176,197,194,188,160,108,99,96,89,121,143,102,58,52,63,89,59,48,165,177,173,173,148,153,158,161,163,164,192,201,191,169,149,119,82,61,52,145,167,88,58,47,61,72,57,36,116,185,172,174,149,154,158,163,161,187,205,196,182,158,147,123,85,59,113,152,133,74,49,54,68,71,56,44,136,182,173,174,150,155,159,160,169,206,202,191,169,156,146,112,78,62,99,100,84,57,40,63,78,68,55,128,184,177,176,175,151,156,161,157,190,209,196,185,168,157,136,108,74,42,46,49,61,57,53,66,65,76,152,188,178,178,178,176,152,157,160,169,208,202,195,177,160,147,129,96,69,49,62,70,77,72,66,51,108,174,186,178,180,178,179,179,152,156,157,202,207,192,182,166,152,138,114,85,66,57,76,84,84,70,59,130,190,185,180,180,180,180,180,180,152,153,173,216,195,181,170,153,139,122,103,81,65,63,80,77,64,50,142,196,184,184,183,182,181,180,180,180,160,154,189,209,189,174,163,148,130,116,99,80,61,62,73,55,61,151,193,184,186,185,184,184,182,181,181,180,48,115,212,193,184,163,142,138,123,103,89,67,54,49,52,90,170,195,186,187,185,185,185,184,183,182,182,181,14,104,193,179,178,150,142,131,91,77,59,38,37,83,140,190,191,185,187,186,186,185,185,185,184,183,181,182
21,166,170,171,174,176,178,180,183,186,187,186,186,184,190,188,188,189,189,187,187,188,187,189,189,186,185,185,182,168,171,173,176,179,180,183,185,186,188,186,194,204,169,189,192,192,191,190,190,190,190,190,190,189,187,188,186,170,173,176,179,181,183,186,186,187,191,187,208,236,160,161,199,193,193,194,193,193,194,192,192,193,192,190,187,172,175,177,180,183,185,187,189,191,194,194,191,237,195,133,192,198,195,196,195,195,195,193,197,186,181,193,189,172,177,179,182,184,186,189,192,193,195,197,191,217,226,163,168,202,196,198,197,197,198,194,218,174,135,198,192,173,178,181,184,185,188,191,194,195,195,196,195,201,244,204,152,194,202,199,200,200,197,202,228,160,140,201,192,176,180,183,185,187,190,193,196,197,197,198,200,196,239,224,154,173,205,200,200,201,195,219,221,143,164,202,194,178,181,185,186,189,193,193,195,197,199,199,201,195,226,236,171,155,206,202,202,202,203,234,205,140,188,202,198,180,183,186,188,192,194,195,197,199,200,201,203,199,215,232,194,145,203,205,205,200,216,225,179,138,203,200,200,181,185,188,191,193,195,197,199,201,202,204,201,213,245,222,201,128,161,213,202,206,231,214,145,160,210,200,201,183,186,189,193,194,197,199,200,201,203,203,209,220,241,226,197,157,125,193,210,218,233,203,134,196,208,203,202,184,187,189,193,197,199,201,201,202,205,207,249,215,205,246,216,207,194,154,184,209,215,165,147,214,205,206,204,185,188,192,194,198,200,201,202,206,205,217,230,230,210,193,201,237,219,150,122,169,171,128,180,214,206,207,206,186,190,192,195,199,201,202,204,207,203,221,220,191,153,102,112,208,218,166,118,131,135,125,207,210,208,209,207,188,191,193,197,200,202,204,207,209,204,226,215,151,150,132,110,154,238,195,136,111,112,139,217,210,210,208,208,188,192,194,198,200,203,206,208,210,207,230,225,208,184,142,143,137,230,221,156,111,98,158,222,211,212,211,210,189,193,197,200,201,205,207,209,211,207,242,244,197,166,145,164,160,232,241,182,127,93,164,223,211,214,213,213,192,195,198,200,203,206,207,209,212,210,246,225,175,161,166,182,194,251,240,196,147,100,158,225,211,214,213,213,191,194,198,201,204,207,209,210,212,213,244,230,198,190,189,191,223,255,231,195,152,102,158,226,212,214,213,213,190,193,198,201,204,207,208,209,212,209,246,243,210,193,200,208,238,255,229,186,159,105,155,227,213,215,214,214,192,196,198,201,205,207,208,210,213,209,241,250,222,195,205,219,249,254,234,189,158,108,159,227,214,215,215,214,194,198,201,203,206,207,209,212,215,210,237,254,225,208,206,230,255,244,226,185,154,106,165,228,216,216,217,215,195,198,201,203,206,208,211,213,217,215,232,255,230,227,217,234,255,241,218,187,148,104,159,231,218,219,218,218,195,199,201,206,207,209,214,215,217,217,224,253,240,238,232,228,249,228,209,184,141,101,155,232,219,221,219,219,196,199,202,206,207,211,215,216,218,218,217,242,247,242,234,222,232,211,195,179,135,96,162,233,220,220,224,222,190,195,199,202,207,211,213,216,218,221,217,234,252,242,221,202,212,202,184,184,130,88,192,238,228,231,210,150,137,138,141,145,148,149,153,155,155,155,157,177,250,232,202,175,186,202,181,180,119,88,174,186,184,189,128,101,109,110,111,110,109,111,114,113,110,115,100,86,230,213,182,165,179,204,169,169,104,72,91,108,116,118,95,96
13,107,110,115,123,129,133,137,139,142,145,149,151,154,157,158,160,162,163,162,163,164,165,164,164,165,164,162,163,108,112,118,125,132,135,139,141,143,146,151,154,156,159,161,159,160,163,169,166,166,165,165,166,167,166,165,165,110,114,120,128,133,137,141,144,147,149,153,157,158,159,165,177,178,136,121,167,166,173,167,169,170,168,167,166,113,116,123,130,135,140,143,147,150,152,156,158,162,165,169,203,190,129,68,75,110,127,171,170,170,168,169,168,113,118,124,130,136,140,144,148,152,156,156,161,166,126,123,143,186,127,65,42,114,70,97,181,169,171,170,170,115,119,126,131,138,141,144,150,152,156,156,197,185,139,97,94,168,167,88,55,124,68,68,181,171,172,172,170,117,121,127,133,140,144,148,150,156,159,107,153,207,179,132,50,102,191,99,52,133,72,86,186,173,174,172,173,117,122,128,135,141,146,149,147,188,176,116,58,163,204,152,75,25,128,96,51,166,83,115,187,173,176,176,174,118,123,130,138,143,148,146,180,191,191,157,77,70,205,144,83,4,25,40,44,154,78,158,183,176,177,177,177,119,125,134,140,144,146,165,181,139,188,172,102,27,164,134,71,9,5,45,87,108,59,117,190,176,179,179,178,120,127,137,142,146,149,195,181,126,157,147,88,22,126,134,82,6,34,111,123,98,83,65,172,183,180,181,179,124,130,139,146,146,163,192,158,115,141,119,68,4,98,162,98,24,132,159,129,82,66,64,113,193,179,180,180,125,133,143,149,147,183,186,154,106,112,108,67,0,55,163,73,89,182,151,122,85,65,54,91,197,181,182,183,126,135,146,151,148,189,201,170,131,82,95,56,3,48,157,130,172,167,139,107,79,59,33,134,194,182,187,186,129,139,150,156,152,197,204,174,141,88,66,64,98,157,189,193,182,154,123,93,75,44,52,186,186,186,187,187,135,144,152,160,158,205,214,183,140,120,121,125,146,176,188,183,173,141,111,88,64,27,105,201,184,188,188,187,137,147,155,162,164,207,209,196,151,144,140,120,164,168,188,178,157,130,105,79,55,20,149,198,187,189,189,188,141,151,159,165,169,199,206,204,169,158,145,130,176,177,176,166,138,114,89,71,35,53,197,192,191,192,190,190,144,153,164,169,171,185,206,203,181,163,145,138,166,184,162,143,119,99,84,58,28,160,203,192,193,193,194,194,147,156,166,172,174,177,201,193,188,169,154,144,152,174,157,129,107,86,77,34,135,211,194,196,196,196,194,193,150,159,168,172,179,175,192,196,189,183,174,152,145,165,150,115,88,81,49,97,212,197,199,200,199,195,201,205,152,163,172,176,183,174,184,201,189,186,176,148,139,149,136,100,72,67,58,192,204,201,202,202,199,207,180,118,155,166,175,180,183,179,184,190,157,161,163,144,133,139,119,95,74,43,136,215,202,204,202,204,210,127,30,7,157,167,176,180,185,182,186,193,155,170,173,163,134,130,112,99,67,50,187,206,207,206,215,214,110,21,7,0,158,167,174,179,184,181,180,207,169,182,183,165,133,120,111,101,62,63,203,206,208,214,170,80,15,22,24,0,158,169,177,181,185,187,181,208,189,202,192,168,139,120,110,102,57,73,212,202,219,145,29,4,0,18,30,0,161,172,179,183,186,191,162,206,199,200,186,160,141,124,111,99,55,63,207,215,189,50,23,24,0,0,22,14,163,173,180,184,188,193,81,191,197,191,176,155,144,126,115,88,56,26,203,218,88,30,21,19,0,0,8,19
2,60,70,83,106,116,124,133,137,139,143,148,152,155,159,161,163,166,167,168,171,170,171,172,172,172,173,173,172,61,71,87,108,118,126,134,138,141,144,148,152,157,162,162,165,168,168,169,172,173,174,175,174,174,176,175,175,63,73,90,110,120,128,136,140,142,148,147,155,154,145,159,164,165,170,173,178,175,176,177,178,177,178,176,176,64,74,93,113,122,130,138,141,143,148,156,196,182,158,155,147,149,166,160,159,176,179,178,180,179,178,178,179,67,76,98,114,124,130,136,143,151,138,172,197,191,202,201,172,139,124,140,116,119,177,183,179,179,179,179,180,68,77,100,115,125,133,132,187,193,179,181,169,151,148,166,194,166,109,76,118,156,135,169,184,180,181,181,181,67,78,102,115,127,127,159,217,185,191,201,199,183,140,96,104,166,143,86,84,141,86,135,192,180,183,183,183,69,81,104,117,128,129,197,166,141,153,163,153,166,177,135,128,115,145,156,130,75,108,174,183,182,184,184,184,71,84,105,119,125,145,182,177,177,167,145,128,159,154,161,168,119,77,139,133,78,173,187,182,183,185,186,185,73,84,109,120,132,192,193,196,185,176,169,163,168,105,75,105,80,102,107,92,122,185,183,184,183,187,187,185,74,87,112,115,186,199,165,151,127,99,107,110,93,74,55,66,151,185,178,171,187,185,186,188,186,187,188,187,73,91,107,136,216,158,108,82,57,52,54,54,65,63,54,75,187,181,185,189,186,190,191,184,184,192,188,188,74,94,102,184,190,127,87,53,41,55,52,50,62,61,48,66,183,183,184,186,194,166,129,116,112,150,192,187,78,88,139,219,144,96,66,52,50,50,49,58,56,49,43,49,177,187,186,194,142,98,110,120,121,91,176,194,81,84,187,200,124,91,75,64,49,46,52,55,51,49,56,37,145,196,193,150,99,128,140,139,114,95,184,194,80,89,194,175,116,90,74,54,41,46,51,56,56,57,57,51,76,194,185,99,130,144,137,112,115,174,197,192,79,96,194,167,117,84,58,44,43,44,53,63,64,64,69,76,62,77,127,110,136,133,95,130,197,198,193,194,80,100,197,164,112,74,54,50,44,48,60,66,73,79,88,95,94,50,95,132,121,90,82,193,199,195,197,196,79,104,199,163,123,88,66,53,43,50,63,77,90,97,105,106,109,79,112,126,105,66,132,208,195,198,198,197,79,112,194,153,124,90,72,61,47,50,64,90,107,109,115,119,122,94,104,126,96,77,182,204,199,200,199,198,82,111,188,150,124,95,81,72,54,51,71,104,117,122,127,132,125,106,90,125,84,88,204,200,201,200,201,201,84,109,179,149,125,106,91,76,57,51,77,112,123,128,129,133,120,100,91,86,84,164,208,202,205,205,204,203,86,107,170,145,127,112,92,75,61,54,81,111,117,122,120,119,110,92,73,117,190,209,204,206,206,206,205,204,89,101,162,149,126,110,89,73,63,64,88,104,107,106,108,108,97,69,124,212,205,201,205,205,205,205,205,204,89,99,159,156,127,107,86,77,71,72,97,99,101,101,101,93,71,110,198,199,198,200,204,204,204,205,206,204,88,101,174,156,124,105,93,88,80,74,93,91,91,88,72,86,140,199,201,200,202,203,204,205,205,206,204,202,82,150,174,164,129,108,101,91,82,69,70,72,70,75,131,181,202,197,199,201,202,204,204,205,206,203,206,214,109,188,128,157,137,106,91,82,71,63,61,62,49,88,200,193,193,198,199,201,202,204,204,206,205,208,207,211
22,144,146,149,152,157,159,161,164,166,167,163,170,172,172,171,164,173,173,174,175,175,176,176,176,176,175,175,174,146,149,152,155,158,162,164,167,171,167,127,157,176,177,178,126,159,178,167,164,179,179,178,178,178,178,177,176,148,151,155,158,161,165,168,170,174,160,105,148,180,183,183,112,151,185,160,120,176,181,180,180,182,182,181,180,151,154,157,161,164,168,171,172,178,157,92,148,182,189,182,117,158,190,161,107,172,184,183,183,184,185,184,183,154,157,160,163,166,170,173,176,183,160,94,150,185,193,176,120,166,193,160,108,172,186,186,186,187,188,187,185,156,159,162,164,168,172,176,178,186,173,99,149,187,194,165,117,170,195,164,115,177,189,189,189,189,189,188,188,157,161,164,168,171,175,180,181,190,182,103,144,189,193,151,115,172,195,160,117,183,192,191,191,191,190,191,191,160,163,166,170,173,178,182,183,193,185,105,142,193,182,138,115,176,196,160,119,186,194,194,194,194,193,194,193,162,165,168,172,175,180,183,185,191,197,126,135,180,164,135,114,182,198,159,121,191,195,195,195,196,195,196,195,164,167,170,173,177,181,184,186,191,198,156,131,122,137,143,119,190,200,153,128,196,196,196,197,197,197,197,197,165,169,172,175,179,183,186,188,193,202,177,155,140,129,128,129,196,194,144,138,200,198,199,200,200,200,199,199,166,170,173,177,180,185,188,189,201,207,190,174,183,165,117,121,184,179,132,152,202,201,201,201,201,201,201,201,169,172,175,178,182,186,190,192,193,172,181,130,169,173,130,91,133,140,109,165,204,203,202,202,202,203,203,202,171,173,178,180,184,188,191,195,196,168,163,101,96,166,158,110,87,99,93,176,206,204,203,204,204,204,203,203,172,175,178,182,185,189,191,200,199,157,151,118,63,120,182,146,95,78,91,189,207,205,205,205,205,206,205,205,173,176,179,183,187,191,193,205,200,160,131,108,83,111,197,175,124,88,92,195,208,207,207,208,208,208,207,207,174,177,180,184,187,192,194,211,204,157,119,105,100,172,204,176,136,105,96,197,209,208,208,210,210,210,209,209,175,178,180,184,187,192,196,212,197,155,128,127,140,209,201,162,127,100,100,200,210,209,209,210,211,211,210,209,176,179,182,186,189,193,197,207,192,154,144,129,167,211,185,150,113,88,118,209,211,212,210,211,212,212,212,211,176,180,184,187,190,195,197,204,188,153,146,133,184,210,171,136,105,84,134,215,213,213,213,214,214,214,213,212,175,180,184,187,191,194,198,201,187,155,160,141,191,207,162,126,96,80,143,216,214,215,215,215,215,214,214,214,175,178,182,186,190,194,197,197,188,161,169,144,182,189,152,120,93,78,156,216,214,215,215,216,216,215,214,214,175,179,183,186,190,193,197,196,189,166,167,144,172,172,139,114,90,82,173,214,214,215,216,216,216,215,214,214,177,180,185,188,190,195,198,198,193,166,151,130,154,152,125,111,89,95,193,214,215,216,216,216,216,216,215,215,178,182,186,189,192,196,197,196,192,163,137,129,153,136,125,111,87,134,211,215,216,216,216,217,217,216,215,216,177,181,185,189,194,196,194,199,200,173,151,144,159,127,130,99,94,185,216,215,215,216,217,217,217,216,216,215,176,180,185,189,194,196,191,197,199,180,167,151,154,123,121,84,138,212,215,214,215,216,217,217,217,217,217,216,153,158,165,171,175,178,179,193,182,170,170,148,146,122,104,84,172,215,215,214,215,216,216,217,217,217,217,215
7,165,165,166,165,164,165,165,166,165,164,162,163,159,131,160,156,141,126,119,113,97,84,74,40,22,0,31,137,167,168,168,168,167,167,167,166,166,167,166,164,164,152,157,162,144,121,95,87,69,44,30,10,6,0,44,144,169,169,170,170,170,171,170,170,170,170,168,168,165,153,161,161,150,133,93,65,35,15,2,0,0,0,46,146,171,172,172,173,173,173,173,174,173,172,168,167,174,160,157,160,153,149,144,131,102,61,23,2,7,0,46,147,171,172,172,172,173,173,175,174,173,172,171,174,135,140,163,158,151,153,156,149,151,106,44,20,19,6,49,149,174,173,174,173,173,174,174,174,174,174,177,167,85,104,173,163,154,155,159,146,151,107,23,26,25,16,42,150,175,175,174,176,176,175,175,175,175,172,182,139,103,170,142,156,157,147,159,150,143,88,27,31,32,30,7,61,178,177,178,177,177,178,178,179,180,180,179,137,176,215,151,98,143,145,146,141,124,75,36,34,37,33,0,10,180,179,180,180,180,183,184,177,167,157,158,197,204,193,203,149,103,128,140,134,118,87,50,40,42,33,0,9,180,180,182,184,181,170,153,138,127,112,71,66,96,124,135,127,99,84,103,118,115,93,58,48,47,29,12,100,185,182,172,161,144,130,129,124,122,111,64,34,53,73,76,71,80,80,60,62,78,73,62,58,46,23,46,139,154,142,131,126,126,132,128,122,119,97,60,51,52,60,68,72,76,78,61,45,60,49,57,56,51,31,81,91,131,134,138,136,133,136,135,137,128,106,66,45,54,64,68,66,73,70,54,46,51,52,61,59,92,66,122,54,142,139,139,134,137,142,143,138,131,115,63,35,53,67,80,75,75,71,63,57,49,65,55,54,74,68,63,0,137,138,142,143,140,136,136,129,123,91,47,48,58,62,66,67,67,65,64,53,53,71,60,57,51,67,79,51,148,147,142,141,137,138,137,130,125,90,36,35,34,29,33,38,46,49,44,52,47,53,54,47,47,55,74,59,146,146,141,139,140,142,130,127,141,114,35,20,22,16,51,63,49,100,128,82,84,38,36,53,45,39,29,27,135,138,141,135,134,132,123,131,136,97,39,27,31,27,26,40,51,76,89,63,48,59,64,67,9,21,45,16,127,126,133,130,124,122,120,122,117,74,33,35,35,33,28,24,126,136,67,42,41,72,130,23,0,0,58,71,121,120,120,123,122,119,118,120,120,67,25,13,30,42,27,56,110,39,64,42,39,77,70,0,23,9,47,109,118,120,116,121,121,119,119,119,120,66,20,5,8,27,20,32,49,25,33,31,35,46,40,50,56,44,61,106,120,112,102,104,103,101,104,103,89,53,21,12,22,35,30,28,86,35,90,71,54,39,83,40,19,23,60,100,101,103,89,75,70,69,68,61,37,29,28,74,68,46,61,38,64,67,104,30,16,2,82,53,29,41,29,64,78,84,70,55,46,51,53,50,81,139,140,143,104,71,64,58,23,23,81,12,33,0,26,75,26,47,19,33,68,69,85,95,102,110,149,122,133,143,146,110,129,156,155,63,36,21,49,52,24,12,77,31,27,48,17,30,117,69,173,199,175,139,175,78,136,113,138,150,141,138,162,105,17,77,36,35,10,69,165,67,26,48,28,24,120,77,139,171,173,155,155,58,121,90,127,145,138,139,142,130,78,128,121,61,0,97,147,82,74,123,59,20,87,95,156,176,182,185,153,104,53,73,129,135,126,103,115,124,135,115,136,89,0,89,118,75,112,143,101,33
21,132,138,143,143,146,151,155,158,160,163,164,166,167,169,170,170,170,172,172,170,170,169,169,167,166,165,165,165,132,138,143,145,148,152,156,159,162,164,165,166,169,171,172,173,173,147,165,173,171,170,170,170,169,167,166,165,133,139,144,146,150,153,157,160,163,166,167,168,170,173,173,179,185,106,128,176,171,172,172,171,169,168,168,168,133,140,145,145,150,155,159,161,163,167,168,169,172,174,174,183,183,107,128,180,176,174,173,171,170,170,170,170,135,142,145,146,151,156,160,163,164,166,169,171,173,174,174,187,177,113,129,181,176,176,175,160,127,162,173,170,137,142,146,148,153,158,160,165,165,168,171,173,174,174,176,191,177,115,131,183,179,178,173,145,95,152,176,172,137,143,147,149,153,158,161,166,168,171,173,174,176,177,177,192,177,121,132,184,180,177,170,139,99,168,175,175,137,143,148,149,153,158,162,166,169,172,174,175,177,179,178,192,175,123,126,184,179,177,165,129,112,179,176,175,137,145,149,150,155,159,164,167,171,173,174,176,179,180,178,195,176,126,117,186,181,176,162,117,138,181,177,177,138,145,148,151,157,161,166,169,172,174,176,178,179,181,178,203,183,123,121,187,179,169,154,104,161,180,178,177,139,147,151,152,158,162,165,169,172,174,176,178,179,182,182,206,174,116,131,187,174,168,134,106,178,180,178,178,140,148,152,153,158,163,165,169,172,174,176,180,180,171,180,196,152,103,130,188,175,168,113,131,186,181,180,180,140,148,153,153,159,164,166,170,173,176,178,187,167,134,139,160,118,91,132,184,181,155,100,163,186,182,181,181,141,149,153,154,159,164,167,172,175,177,179,187,166,127,113,94,88,95,141,171,170,129,107,185,186,183,183,182,141,149,153,155,161,165,168,173,175,177,183,186,177,168,147,110,75,100,132,147,142,102,134,192,186,186,185,184,142,150,153,155,162,165,169,174,177,178,191,203,192,210,176,131,84,83,101,113,116,91,165,192,187,187,187,185,144,152,154,155,162,166,170,174,177,180,185,175,187,197,165,115,89,80,87,97,99,100,185,190,188,187,187,186,144,151,154,156,162,166,172,175,178,188,176,142,180,148,154,127,100,88,79,86,86,114,193,191,189,188,187,187,144,150,153,157,162,167,172,176,178,191,194,161,131,94,144,149,116,92,85,80,81,117,195,192,190,189,188,187,144,152,154,157,163,168,172,176,178,194,182,137,113,100,121,164,132,106,91,86,79,110,197,193,192,191,189,189,145,152,153,157,163,169,173,177,178,201,181,154,152,128,152,190,144,128,103,88,83,113,196,194,192,192,190,190,145,152,153,157,164,169,174,178,180,207,186,172,148,143,212,198,149,137,110,93,87,119,198,195,193,193,193,190,145,151,154,159,164,169,174,179,181,206,203,177,144,178,218,182,142,128,114,98,91,125,198,196,195,195,194,192,146,151,154,158,163,168,174,178,180,207,208,164,155,184,209,175,149,122,114,102,91,141,200,195,195,194,193,192,145,150,153,156,161,168,173,175,177,201,189,159,166,178,206,176,160,132,103,100,91,152,198,195,195,194,192,191,144,150,152,156,162,168,173,176,178,193,175,177,173,169,205,174,150,132,105,100,95,161,199,195,195,194,193,192,144,150,151,156,163,169,174,177,180,186,180,200,172,174,195,162,134,118,105,99,97,172,200,196,195,193,194,193,144,150,152,156,162,169,174,177,180,183,187,191,163,157,180,151,122,106,101,94,96,180,198,196,196,194,194,194
8,110,115,121,124,127,128,133,138,139,140,140,141,143,144,144,144,145,145,146,146,146,145,145,143,143,143,142,142,112,118,125,129,128,144,137,135,143,143,144,145,146,146,147,146,147,147,146,146,147,146,145,144,144,143,142,142,116,122,129,134,131,166,130,109,152,147,149,149,150,150,150,150,151,151,150,149,148,149,148,147,146,145,143,142,119,126,133,137,136,180,126,94,157,153,154,155,155,155,155,155,154,156,155,153,153,153,151,151,150,148,146,145,122,129,136,141,141,193,125,94,163,158,160,161,160,160,160,162,162,158,158,161,157,156,156,156,154,152,150,148,126,132,139,144,146,190,121,99,167,163,165,165,170,167,166,158,156,175,162,135,160,162,160,160,158,156,155,153,130,137,143,148,150,195,133,98,169,168,169,170,143,155,197,149,99,155,188,115,116,169,165,165,163,160,159,157,134,141,146,151,156,198,141,105,167,170,185,205,144,135,189,164,118,132,163,141,99,148,175,169,168,165,163,162,138,144,151,155,159,198,165,132,157,179,205,212,200,178,151,150,163,187,131,92,97,122,181,172,172,170,168,166,141,148,155,160,160,195,171,158,171,193,191,193,207,159,154,159,169,168,139,94,62,102,184,174,175,174,172,169,143,151,158,164,163,192,182,168,189,195,171,142,205,167,148,158,140,132,152,115,57,112,189,176,178,176,175,174,146,153,160,166,166,192,197,164,183,184,182,136,161,184,116,96,92,141,165,127,76,149,190,181,181,179,178,177,149,157,163,168,168,195,208,136,166,166,147,143,141,179,121,64,57,183,181,145,89,137,195,183,185,182,180,180,152,160,165,171,171,194,210,146,118,160,125,126,135,161,150,102,70,165,203,160,104,87,188,189,187,185,183,181,153,162,167,172,174,193,213,173,110,125,142,121,150,168,158,105,170,196,194,167,116,71,158,200,189,188,186,185,157,163,169,174,176,192,221,186,131,105,150,123,179,195,164,160,210,199,168,139,112,78,157,203,192,191,188,186,159,165,171,177,180,193,222,195,154,112,125,135,174,203,201,216,203,178,157,120,98,87,186,198,194,195,200,197,161,168,173,179,182,195,222,206,171,131,120,137,166,210,209,214,198,166,137,113,75,121,213,206,205,189,147,100,161,169,176,181,184,196,222,211,180,151,133,140,158,208,213,206,184,154,126,98,72,176,186,141,108,68,43,40,163,170,177,181,185,194,217,211,189,162,153,139,153,193,214,198,169,139,115,90,74,94,57,40,43,50,50,47,164,172,178,183,186,191,208,212,198,171,172,143,143,176,204,192,159,128,108,82,56,35,39,43,38,52,54,42,165,173,178,184,189,189,199,212,203,179,174,152,135,169,184,184,150,119,101,76,46,36,35,49,33,39,53,52,165,173,179,184,189,192,192,206,199,185,171,151,118,161,165,170,136,108,92,57,44,37,23,42,46,32,40,49,164,172,178,183,188,194,186,201,203,185,167,144,116,134,160,146,125,100,82,28,29,50,27,28,47,40,29,38,166,173,179,183,187,194,187,200,213,193,169,145,120,117,148,136,114,94,68,18,14,41,44,24,35,44,34,32,167,173,179,183,188,193,190,200,206,185,158,144,119,115,128,127,106,79,54,37,5,25,47,35,22,41,41,31,168,174,180,184,187,196,181,200,202,158,159,149,126,113,116,122,104,58,36,49,11,11,37,44,28,28,40,36,162,169,176,181,185,199,137,199,205,167,176,158,132,109,112,117,96,36,21,49,24,3,26,44,37,28,31,39
18,171,172,173,173,173,174,175,175,175,175,175,174,173,172,172,171,170,170,169,169,167,166,166,164,162,161,160,159,172,173,174,174,175,176,177,177,177,177,177,175,174,173,173,172,172,172,172,170,168,167,166,165,163,162,161,160,173,174,175,175,176,178,178,178,178,178,178,178,177,176,175,175,175,174,172,172,170,169,168,167,165,163,161,160,174,175,176,177,179,179,179,180,180,180,180,179,179,166,147,162,173,153,131,141,170,168,158,162,167,164,163,162,175,176,178,179,180,180,181,182,182,181,180,180,180,150,112,106,142,141,107,85,135,140,115,109,148,167,165,165,176,177,180,180,180,181,183,182,182,175,151,152,171,154,123,98,107,158,115,92,85,113,106,81,97,166,167,166,177,179,180,182,181,182,183,183,185,176,141,124,128,158,134,105,92,150,123,105,96,96,103,88,70,148,169,166,180,181,181,183,183,184,184,185,187,180,161,141,116,128,144,110,88,116,131,119,111,105,116,100,67,142,170,168,181,181,182,183,184,186,187,186,186,170,169,145,124,96,130,116,93,92,132,127,116,114,113,96,66,144,172,170,181,181,182,183,184,186,187,188,189,149,142,143,113,73,107,118,90,76,118,114,112,114,113,97,66,135,174,171,181,182,183,185,186,187,188,190,182,131,106,139,92,61,89,97,73,62,99,84,96,136,133,104,71,120,175,173,181,183,185,186,187,188,188,191,181,146,117,131,91,63,79,80,63,54,77,66,78,151,142,113,78,104,175,173,183,185,186,186,188,188,188,193,186,162,129,120,101,70,78,86,66,52,74,67,67,136,148,124,88,86,172,174,185,185,187,187,188,189,189,193,186,156,126,102,87,61,78,91,64,52,75,106,137,146,161,136,95,72,160,175,185,186,188,189,189,190,190,193,174,142,117,96,76,62,64,69,61,69,104,153,163,154,148,131,93,65,151,177,186,187,188,189,189,191,191,193,184,160,134,109,86,80,76,78,97,124,155,170,163,154,132,112,82,65,156,177,187,187,188,189,190,192,192,193,189,169,143,113,89,83,89,104,131,156,176,175,157,141,120,94,69,82,172,178,187,188,188,190,192,193,194,194,191,174,150,122,101,93,94,108,150,172,182,171,148,130,111,84,57,118,180,178,188,189,190,191,193,193,194,194,190,177,155,131,112,102,99,118,165,178,177,163,140,121,104,75,62,156,181,179,188,190,191,191,193,194,195,192,186,174,155,134,119,109,106,128,172,174,167,154,135,113,95,66,86,178,181,180,188,191,192,192,193,194,195,192,180,168,155,138,125,120,112,134,169,169,158,140,126,107,85,57,122,184,182,180,189,191,192,193,194,195,196,195,181,168,158,143,132,129,117,138,162,163,151,130,115,97,74,61,159,183,181,180,191,192,193,195,196,197,197,198,188,168,159,149,138,129,115,133,157,155,143,123,102,84,60,94,182,183,182,182,191,192,193,195,196,196,198,199,194,174,165,156,143,128,114,122,147,144,130,110,90,72,56,148,187,185,183,182,192,193,195,196,196,197,198,199,198,185,171,158,146,135,122,118,134,134,119,100,80,57,90,183,187,185,184,183,192,193,195,196,196,198,198,198,197,192,179,161,146,134,125,120,126,127,111,92,70,55,149,189,187,186,184,183,193,194,195,196,197,198,198,198,197,194,182,160,146,141,137,132,124,120,104,85,60,94,185,188,187,187,186,184,194,195,196,196,197,198,198,199,196,193,182,163,156,152,141,132,118,115,98,76,58,139,191,190,188,187,186,185
20,86,90,95,104,125,143,150,156,167,173,178,183,188,196,187,199,203,199,200,200,200,200,200,198,198,198,196,194,86,91,95,106,129,148,155,161,173,179,184,189,191,226,161,157,195,205,206,205,204,205,204,203,202,202,201,199,88,92,97,109,133,151,159,166,178,186,192,198,198,243,173,159,162,167,220,209,210,209,209,209,207,206,206,205,89,94,98,113,137,154,160,170,183,191,196,204,203,249,175,165,203,117,213,218,216,215,214,214,212,211,211,209,89,95,97,115,139,156,163,174,187,195,201,208,209,245,172,145,223,111,179,231,220,221,221,218,217,217,216,214,90,95,98,118,142,159,166,176,190,198,204,212,214,245,200,130,216,136,149,237,224,226,225,224,222,222,220,219,90,95,99,122,145,161,168,179,193,201,207,214,215,250,207,125,215,172,131,234,232,231,229,229,228,227,226,224,92,96,101,124,146,163,170,182,196,205,211,218,219,253,194,120,206,179,118,228,238,235,234,233,232,232,230,229,93,96,102,125,148,165,172,184,198,208,215,222,223,255,210,121,207,208,121,219,244,238,239,238,237,236,234,233,92,96,103,127,150,168,174,187,201,210,216,222,225,253,203,118,194,222,130,207,251,241,241,241,241,240,239,236,93,96,104,129,153,169,175,191,205,211,222,221,193,232,157,103,187,218,127,192,255,244,245,244,244,243,239,238,93,96,106,131,155,170,178,193,207,214,230,255,227,222,193,104,165,210,121,176,255,246,246,245,245,249,255,248,93,94,107,134,158,173,180,195,207,211,231,255,255,184,192,169,133,142,108,163,255,246,255,255,254,233,185,117,94,94,108,136,160,175,181,195,220,205,201,209,247,197,123,159,176,125,85,132,255,255,223,172,128,89,58,61,92,94,111,138,161,176,184,195,244,255,219,144,187,243,145,92,153,171,115,96,187,126,76,59,57,70,76,71,89,91,110,139,162,175,184,199,234,235,249,185,123,224,231,109,116,180,175,116,64,55,57,64,63,55,74,68,88,90,109,139,163,175,183,202,224,154,166,204,175,181,233,140,115,168,190,160,93,55,58,48,70,55,58,70,87,90,110,140,164,177,186,203,236,200,141,126,188,175,126,116,108,119,177,176,132,76,63,47,52,65,52,59,83,84,109,141,167,178,189,205,242,210,138,118,127,140,133,153,160,148,177,171,148,99,46,68,45,53,54,55,117,119,125,138,153,162,171,179,225,200,154,148,150,163,182,206,235,238,203,142,137,98,24,61,62,45,52,48,123,125,124,121,124,126,131,120,178,240,200,157,155,188,209,244,255,240,195,138,116,86,18,41,68,56,52,44,125,126,129,132,132,132,135,130,155,247,214,177,157,198,210,252,255,233,189,139,113,85,25,25,58,59,57,48,127,129,129,131,132,134,137,134,139,238,235,207,158,204,208,245,249,214,177,141,113,84,41,17,44,60,57,53,127,127,128,129,129,132,134,138,130,216,243,219,166,203,204,220,241,213,173,139,112,74,55,19,27,57,55,52,126,126,128,128,129,131,132,136,128,174,239,222,180,208,186,192,221,224,174,133,112,59,59,34,14,48,56,47,126,126,128,127,130,131,131,134,136,135,212,234,199,209,180,167,206,212,163,122,104,47,58,50,16,28,57,42,126,127,128,128,129,131,132,132,135,130,158,231,212,199,180,147,174,185,148,123,83,15,53,60,33,14,45,51,125,125,127,127,128,130,131,131,132,136,130,209,223,194,172,151,145,165,147,128,48,10,37,62,46,21,25,49
0,175,177,180,182,184,185,186,190,189,187,187,188,188,186,188,186,185,185,185,184,181,180,180,177,176,176,174,173,176,179,182,184,186,186,187,190,189,188,189,191,190,189,189,187,186,187,185,184,182,180,180,180,180,178,176,175,176,180,183,184,186,187,188,191,191,191,191,191,190,190,191,193,192,186,186,191,186,182,181,177,167,177,178,177,178,179,183,185,188,190,191,192,192,193,193,195,196,193,190,173,177,197,180,157,182,186,188,184,115,161,183,177,179,181,185,187,189,191,192,193,196,194,193,181,162,186,174,121,88,139,149,98,90,180,196,177,92,163,185,178,179,184,186,188,189,192,193,189,178,198,197,152,96,88,141,124,94,53,101,119,63,126,199,157,86,171,185,180,183,186,188,191,192,191,194,180,118,111,181,147,110,62,117,137,116,72,95,127,79,114,185,154,75,155,191,180,184,187,189,192,192,194,198,176,145,82,135,166,117,88,115,153,116,79,90,128,78,87,176,141,60,116,197,181,185,188,190,193,191,208,196,189,164,116,97,176,123,88,89,154,113,73,84,123,79,44,135,135,62,74,193,182,186,188,191,191,199,197,175,207,164,127,76,154,125,83,73,150,112,61,60,96,67,43,110,142,64,72,194,184,187,189,192,190,216,213,153,188,158,139,68,116,131,86,60,138,100,49,37,62,49,64,142,132,56,105,199,184,186,191,192,198,211,196,159,159,133,102,49,93,125,74,45,88,63,43,52,66,47,84,143,123,53,139,198,185,188,192,193,200,204,176,139,150,111,59,44,90,81,55,49,69,64,40,62,63,54,118,140,121,57,170,193,186,189,193,194,195,220,215,182,142,92,83,57,86,86,38,39,94,61,46,87,76,85,135,144,102,66,191,190,188,189,192,196,197,219,218,199,166,107,91,61,106,110,47,76,108,111,138,138,130,115,128,114,73,78,202,188,190,190,193,196,198,218,221,204,182,143,109,100,92,98,147,178,172,173,164,143,136,112,88,82,47,97,207,188,191,189,194,197,198,216,221,204,174,150,118,107,121,149,189,178,181,165,153,140,126,105,67,65,37,151,202,191,192,188,191,195,196,210,215,200,178,162,131,113,136,162,182,174,172,158,144,133,114,93,70,37,110,203,191,192,191,189,191,195,198,203,210,197,182,166,141,123,153,157,170,172,160,145,129,117,102,84,43,80,202,195,193,193,191,190,194,197,199,200,207,196,183,166,144,124,137,149,154,169,150,135,120,106,92,58,57,188,200,195,194,194,191,191,194,196,199,198,201,196,181,166,142,120,111,133,140,148,139,125,112,94,64,47,174,204,194,197,195,192,193,191,193,195,198,200,200,201,182,171,143,106,97,115,124,119,116,111,95,60,46,158,207,194,197,197,195,202,185,192,195,198,207,208,196,176,175,160,120,88,96,106,109,97,87,84,57,91,174,208,197,201,201,198,203,134,60,179,183,188,148,175,211,175,163,144,125,114,110,98,99,83,68,42,126,199,196,190,196,186,174,187,119,28,19,103,106,101,6,111,222,188,174,155,145,129,106,83,85,71,49,39,96,96,100,100,78,48,36,44,23,18,14,99,102,68,39,54,145,178,173,161,141,115,90,73,69,57,33,58,90,77,51,27,11,6,13,13,14,10,6,106,101,54,52,43,43,88,133,140,126,96,76,64,56,39,12,36,65,28,13,11,9,3,3,10,16,10,8,106,87,51,51,46,41,29,51,84,84,66,53,44,33,14,0,0,0,14,4,4,6,3,0,0,9,11,10
11,130,134,135,139,141,143,145,146,147,148,147,147,147,147,147,148,146,146,146,144,143,142,141,140,138,135,134,133,132,134,138,141,142,144,146,148,148,148,148,149,148,150,150,148,147,147,146,146,145,143,142,140,140,138,137,137,134,137,140,142,144,146,148,150,152,151,151,150,156,129,141,152,148,148,147,146,145,145,144,142,142,139,141,118,137,140,142,145,147,149,150,152,153,154,154,147,176,121,108,160,149,151,150,148,147,148,146,144,142,142,142,61,139,143,144,147,150,152,153,154,156,156,157,149,185,130,94,162,152,153,153,151,150,149,147,146,143,150,109,35,142,146,147,150,153,154,155,157,158,158,158,152,194,120,92,165,154,155,154,153,152,152,149,147,146,152,77,39,144,147,149,154,156,158,158,160,161,164,157,164,214,110,104,167,156,157,157,155,153,152,152,151,151,147,62,45,147,151,154,155,158,160,161,160,163,155,171,159,190,107,118,171,159,160,160,158,157,155,154,154,153,154,86,56,148,153,156,157,160,163,158,184,173,98,153,130,86,129,93,150,168,162,162,160,160,158,158,156,153,161,109,56,151,154,157,159,164,159,182,206,182,140,83,111,74,96,79,123,175,163,163,163,162,159,160,160,157,162,133,54,152,156,159,163,162,176,218,165,170,169,96,85,81,107,87,129,175,165,166,165,164,164,163,161,160,159,159,75,154,159,162,162,169,211,191,126,122,165,95,77,74,108,88,133,178,168,168,167,167,167,164,163,163,160,163,119,156,160,163,160,196,211,156,118,137,149,65,82,74,101,84,144,179,171,171,170,169,168,166,167,164,162,164,141,158,161,166,162,208,200,140,94,116,121,61,85,70,95,76,161,178,173,172,172,171,169,168,166,166,164,167,133,160,163,167,162,211,204,159,111,70,72,86,66,77,93,86,180,175,175,173,172,174,173,171,171,169,166,167,155,161,164,168,168,220,202,151,100,64,49,97,58,104,98,63,165,184,176,179,179,172,164,158,157,168,173,167,166,161,165,167,174,228,199,149,106,74,56,68,53,103,90,45,85,173,175,161,138,126,119,115,103,94,143,173,165,164,169,167,181,227,195,152,118,84,67,69,70,88,89,87,85,93,108,111,126,132,116,93,89,71,111,178,167,165,170,169,181,222,191,152,120,90,71,74,111,135,135,124,114,97,103,120,116,96,82,110,153,163,167,172,169,167,171,172,184,222,194,160,126,97,76,85,132,132,122,116,113,98,88,83,92,129,155,181,183,179,175,172,171,169,173,172,189,220,198,169,129,108,86,99,127,126,117,104,99,77,70,122,178,187,185,180,178,177,176,173,171,169,176,169,203,222,199,167,128,109,92,99,112,116,107,90,72,96,162,192,186,181,181,181,180,179,177,174,173,172,173,176,221,213,185,150,116,99,92,100,99,105,98,69,122,190,191,185,186,185,184,183,181,181,179,176,175,173,173,212,222,200,173,138,110,95,95,99,90,85,75,134,198,189,187,187,188,186,185,183,182,181,180,178,176,168,185,226,210,187,166,134,114,101,94,92,74,104,170,199,190,189,189,188,187,186,186,185,184,181,180,179,177,167,198,223,205,163,135,126,113,97,89,68,97,192,199,192,192,191,190,189,189,188,186,186,185,184,182,181,178,172,210,222,197,143,114,108,102,87,75,79,178,198,192,195,193,192,191,190,189,189,187,186,185,185,183,180,179,185,218,217,184,121,107,102,93,79,66,149,204,196,197,196,195,193,193,191,190,189,189,188,187,185,183,182,180
11,120,123,127,129,132,133,136,137,139,140,140,140,140,140,140,140,140,140,139,138,138,135,133,133,132,131,128,126,122,126,128,131,133,135,138,139,141,141,142,141,141,142,143,141,140,140,140,139,139,137,135,134,133,132,130,128,125,128,132,134,136,138,140,141,143,143,144,144,145,136,127,146,141,142,141,140,139,138,137,136,135,133,131,132,128,131,134,137,139,141,143,145,146,146,146,145,150,153,84,146,145,143,144,143,140,140,140,137,136,134,138,116,131,134,136,138,141,145,146,146,148,148,149,145,156,166,75,140,149,145,146,145,144,143,141,140,138,137,138,69,131,136,139,142,145,147,148,148,150,150,152,146,167,163,64,140,152,148,147,146,146,145,144,142,140,144,124,40,134,138,140,144,147,148,151,151,154,156,152,150,190,157,67,150,152,150,150,149,147,147,146,145,144,149,110,29,137,141,144,147,148,150,153,154,153,145,167,140,185,146,77,159,153,153,153,152,150,150,149,148,146,149,122,50,139,143,146,149,151,155,150,181,162,93,146,122,82,127,81,140,160,154,155,155,154,153,151,151,149,148,141,67,141,145,148,151,155,150,177,198,181,137,78,107,68,94,77,111,167,156,157,157,156,155,153,154,152,149,151,86,143,147,150,154,153,166,211,155,163,161,90,77,73,107,82,119,169,159,159,159,158,157,157,154,154,151,155,128,146,149,152,154,157,201,186,119,118,158,81,71,66,105,81,125,171,161,163,162,160,160,158,157,156,154,153,148,147,151,155,151,181,208,151,112,135,134,53,78,66,96,73,137,171,164,165,165,162,162,161,159,158,157,155,153,148,152,157,152,192,198,138,88,101,107,56,76,65,92,69,157,170,166,166,166,164,163,160,159,159,159,157,156,150,153,157,153,197,200,152,106,61,62,87,57,76,90,74,172,169,168,167,166,166,165,163,163,161,159,160,157,151,156,159,157,208,198,144,94,61,47,93,55,105,96,49,138,181,169,171,172,167,161,157,155,162,167,161,159,153,157,160,162,217,196,144,103,69,50,60,46,96,82,40,64,157,170,158,140,127,119,116,105,95,132,166,160,153,158,160,169,218,193,148,112,79,60,63,69,85,87,83,82,87,105,111,124,131,116,93,84,67,85,169,162,155,160,161,171,215,189,148,115,85,66,69,109,134,134,123,112,95,97,116,115,96,78,96,138,151,155,166,163,157,162,163,170,214,191,157,124,94,72,85,132,130,118,113,106,93,83,77,82,115,143,171,178,174,171,167,164,159,163,163,177,213,194,164,125,105,82,98,125,124,113,97,94,70,62,110,167,181,179,173,171,171,170,167,165,160,167,161,189,216,195,161,122,105,87,95,108,113,104,84,66,87,151,184,180,176,173,174,173,172,171,169,167,161,165,164,210,208,179,145,113,94,87,97,93,100,93,63,114,183,186,178,178,178,176,176,174,173,173,171,168,163,162,200,217,196,168,134,107,91,91,94,83,78,72,131,192,185,181,180,179,179,178,177,175,174,174,173,171,161,170,218,206,182,161,130,112,98,89,84,65,99,168,192,184,183,183,181,180,179,179,178,176,175,174,173,172,158,183,217,199,158,129,123,110,90,82,61,87,183,192,184,185,185,184,183,182,181,180,178,178,177,175,174,171,160,197,215,191,138,109,104,97,81,67,69,168,192,186,188,187,186,185,185,182,182,181,179,179,178,175,174,173,170,210,211,179,117,103,98,88,72,57,138,196,187,191,190,187,187,186,185,183,182,182,181,180,179,177,175,175
20,102,104,106,108,111,114,115,117,118,119,120,122,124,123,125,127,127,126,126,128,128,128,128,128,128,128,129,128,104,106,107,110,113,114,116,118,119,120,120,123,124,124,128,113,119,130,130,128,130,129,130,130,130,130,131,130,104,107,109,112,114,115,118,120,120,120,122,125,126,124,141,96,85,109,110,134,132,133,133,132,131,132,132,132,105,109,111,112,114,116,120,120,121,123,126,127,127,127,149,101,108,112,71,132,134,133,133,132,131,132,133,131,106,109,111,113,115,118,120,121,122,124,127,127,127,128,145,100,121,126,66,125,136,133,134,134,134,135,134,133,107,110,112,114,117,119,121,122,124,125,127,127,126,133,157,111,124,130,73,125,139,136,136,136,136,135,135,135,108,111,113,115,117,119,122,124,126,126,128,130,125,142,155,109,139,133,79,121,140,136,137,137,136,137,136,135,109,111,114,116,118,120,122,124,127,127,120,122,132,144,135,104,142,128,74,115,143,137,138,137,136,137,137,135,109,112,114,116,119,122,123,125,127,131,119,77,110,154,126,97,146,118,69,119,145,139,139,138,138,138,137,136,110,112,115,118,120,123,125,124,125,139,120,90,64,126,117,97,147,115,72,128,142,140,141,139,139,138,137,137,111,113,115,119,121,122,124,131,113,114,128,118,108,77,74,83,124,109,72,132,142,140,141,140,140,140,139,138,111,114,117,120,121,120,132,152,109,82,133,139,131,95,53,52,97,98,69,134,143,141,141,141,141,140,140,141,112,114,116,119,121,122,136,124,132,106,77,107,138,121,77,53,77,75,65,139,142,142,143,142,142,140,140,141,113,114,118,121,123,121,142,117,93,88,37,39,129,144,108,59,60,66,60,137,143,143,144,143,143,142,142,141,113,114,118,121,123,123,139,112,87,83,56,53,101,158,128,80,52,61,59,138,145,143,144,142,142,142,142,141,113,114,117,122,123,123,144,140,115,91,67,77,88,157,144,103,61,50,53,138,145,143,143,142,141,142,141,141,114,115,119,123,124,124,154,132,98,83,76,90,103,158,144,115,73,43,48,137,147,144,145,143,142,142,142,141,114,117,118,122,125,125,153,128,101,93,95,93,146,170,131,112,78,42,49,141,147,145,146,145,143,142,142,143,115,117,120,123,125,127,158,134,111,103,102,105,171,166,133,106,83,45,53,145,146,145,145,145,143,144,144,142,116,118,120,124,126,127,159,140,120,98,112,130,170,154,138,106,83,46,62,150,144,145,145,145,143,144,145,144,116,118,120,124,126,127,161,147,124,110,110,141,166,142,133,101,81,43,75,152,144,145,145,145,144,145,145,144,115,118,121,125,128,126,159,148,128,131,111,145,162,141,129,104,75,42,86,153,143,145,146,145,144,145,145,144,115,118,121,125,128,126,149,155,139,145,125,133,153,133,124,105,73,40,85,155,145,147,146,146,146,146,145,144,115,119,122,125,127,127,136,155,146,147,135,127,141,130,123,104,72,42,89,154,144,147,146,146,146,146,146,145,114,118,122,126,127,128,130,151,150,138,125,127,133,124,122,116,73,43,105,154,145,147,146,146,146,146,147,146,115,118,121,125,127,129,128,150,141,128,115,118,130,122,121,116,75,47,126,151,147,148,147,146,146,147,146,145,115,118,123,125,127,129,130,149,134,124,117,114,130,124,117,113,66,60,147,147,147,148,148,147,147,147,147,146,114,119,122,125,127,130,131,153,148,139,123,119,134,118,109,107,53,83,156,146,148,148,148,148,147,148,148,148
14,133,137,141,143,144,146,148,149,150,152,151,153,154,152,152,153,152,151,151,151,150,150,149,148,146,146,144,144,135,139,142,144,146,148,149,150,152,154,154,155,155,155,154,153,155,156,155,152,150,151,151,149,148,148,146,146,137,141,144,146,148,149,151,153,154,156,156,155,156,156,156,156,137,141,153,154,154,151,150,150,150,148,148,148,137,142,146,148,149,151,153,155,155,155,156,157,157,156,155,144,136,124,129,122,143,160,151,149,151,149,150,150,139,143,147,148,150,153,155,156,157,158,159,159,156,168,168,159,151,136,111,94,91,116,155,156,150,151,150,151,140,144,148,151,152,155,156,158,158,159,161,157,165,184,157,134,168,144,114,76,63,62,78,139,159,150,152,151,141,145,149,152,153,155,156,158,160,161,161,167,181,179,138,66,112,102,133,97,47,69,45,50,136,158,151,153,142,146,150,153,154,158,158,160,161,162,163,179,164,127,98,61,49,66,140,122,68,66,68,48,58,156,155,154,143,147,151,154,156,157,159,161,162,167,176,187,145,88,58,44,43,42,106,135,90,71,87,72,52,113,163,153,144,148,152,154,157,159,161,164,162,175,189,186,153,113,77,59,51,44,49,97,106,70,78,68,75,69,150,158,145,148,152,155,157,160,162,163,166,182,192,176,134,102,76,56,57,50,99,147,164,143,97,72,73,57,107,164,146,150,154,156,159,161,163,162,172,192,188,146,97,66,58,51,43,80,174,169,163,169,169,109,74,78,99,164,147,152,155,157,161,162,166,160,180,192,177,156,116,70,51,38,63,166,173,164,166,166,163,100,109,74,103,169,148,153,156,159,162,163,164,165,192,185,167,159,119,83,55,32,40,76,144,173,163,174,137,99,112,68,79,169,150,155,157,160,163,167,160,182,195,177,165,159,112,87,47,36,43,43,57,148,179,147,84,97,104,72,52,142,151,155,158,161,164,164,167,196,185,166,171,155,116,90,45,40,52,60,60,70,102,77,88,103,91,71,46,131,151,155,160,163,166,162,182,196,183,171,171,149,118,85,46,54,71,72,73,69,57,74,90,102,90,54,101,167,152,156,161,163,165,167,196,194,184,170,160,147,115,74,51,68,83,84,82,81,73,74,93,85,63,109,170,166,154,157,161,164,164,177,200,190,177,161,151,141,103,75,60,79,86,88,85,80,78,74,75,63,126,174,167,167,155,158,162,165,164,191,198,183,169,156,142,128,97,77,70,81,91,87,84,73,78,60,56,139,179,167,168,168,156,159,162,165,167,199,193,177,165,148,134,122,96,82,71,80,92,83,78,70,59,86,151,178,170,171,169,168,157,161,165,165,175,204,189,172,158,144,127,112,103,79,70,76,83,81,72,56,127,179,177,172,173,172,170,169,158,161,166,164,190,201,183,160,138,131,123,112,86,71,72,72,76,63,59,133,185,174,173,174,173,172,172,170,158,162,163,176,201,190,174,146,145,136,108,87,67,72,75,59,67,95,155,184,175,176,176,175,174,172,173,172,159,166,160,178,195,183,171,152,143,115,101,84,72,70,60,105,164,184,184,178,179,178,175,174,174,173,173,172,153,157,147,180,191,183,166,152,128,99,94,78,72,52,106,194,186,181,181,180,179,178,177,177,175,175,174,172,62,22,91,195,185,176,160,142,113,90,86,74,62,65,168,184,181,183,182,180,180,178,179,178,176,175,175,173,53,24,73,171,183,169,157,132,99,82,77,68,46,123,189,181,182,182,182,180,180,180,180,178,176,176,174,173
23,129,132,135,138,142,143,146,148,149,150,150,149,149,150,149,148,148,147,146,145,144,143,144,143,141,143,158,169,132,136,139,142,145,149,151,152,153,154,154,154,154,154,155,153,154,152,148,148,147,147,146,145,144,145,130,126,135,140,144,146,149,154,156,157,158,159,160,159,158,156,155,155,151,154,158,152,150,151,151,149,148,149,137,82,139,144,148,151,154,158,160,162,163,164,164,163,163,172,187,188,159,125,143,155,158,155,154,152,151,150,154,118,142,146,151,154,158,161,164,166,168,168,170,195,195,202,209,193,178,160,151,149,144,162,159,157,155,154,152,152,145,149,153,157,160,164,167,170,172,171,183,209,179,155,148,106,119,142,138,107,115,167,161,160,158,158,157,154,147,152,156,159,163,168,170,173,175,172,198,194,176,79,95,139,156,137,117,120,160,169,166,164,162,161,160,158,150,155,158,162,165,169,173,176,177,179,207,193,171,121,153,158,188,180,180,181,175,172,171,170,167,164,163,161,152,156,159,164,168,172,175,178,179,187,202,187,196,207,172,78,162,187,176,174,176,175,175,174,172,169,167,164,154,158,162,166,169,174,177,181,180,194,202,207,217,203,165,81,146,182,187,185,181,178,179,178,176,173,170,174,155,161,163,167,173,175,179,182,180,201,216,214,191,184,142,142,201,131,134,165,180,188,181,181,180,176,182,135,158,162,166,169,175,178,180,182,196,207,203,178,156,173,156,165,193,135,68,60,85,161,190,182,181,183,172,57,160,164,168,172,176,178,185,202,206,193,180,182,189,197,193,148,144,129,72,58,55,101,196,183,180,193,120,47,160,166,170,174,176,192,201,199,197,199,206,210,204,190,173,134,73,117,87,71,64,104,196,188,197,190,72,50,162,167,172,175,179,201,189,187,183,180,190,187,171,157,147,118,54,52,74,73,61,119,208,169,145,100,54,52,163,169,173,176,183,210,195,173,168,174,176,176,172,164,155,115,62,31,63,82,75,85,99,63,38,38,49,50,166,170,174,177,185,203,192,177,178,186,190,187,166,151,138,97,64,43,85,105,90,40,23,46,43,44,46,46,167,170,174,179,182,190,194,192,192,181,182,141,117,122,114,89,63,41,64,101,89,47,27,28,28,47,43,41,167,171,175,180,184,188,193,190,183,165,139,100,54,72,115,92,55,52,74,87,76,38,37,32,26,32,38,33,168,174,177,182,185,185,185,195,195,150,106,80,47,78,129,84,43,60,78,83,59,35,31,33,35,28,29,31,168,173,176,181,184,182,177,203,189,108,77,44,53,88,78,50,60,76,75,74,45,39,37,24,25,34,32,33,169,173,177,181,185,180,175,196,165,109,84,54,31,33,39,60,77,86,85,61,28,36,40,29,17,23,25,39,169,174,178,181,185,175,177,197,166,114,91,61,35,45,71,84,92,92,84,52,19,24,39,39,21,16,21,26,169,173,178,181,185,172,186,202,172,121,96,71,53,55,86,93,95,89,74,40,22,24,29,39,29,14,20,17,174,179,183,187,192,178,183,195,170,131,101,83,63,56,75,93,95,90,60,23,25,24,26,30,37,20,14,19,141,147,152,157,164,158,182,189,168,131,102,93,71,64,64,90,96,87,39,15,26,20,21,25,28,29,10,13,89,91,93,95,90,107,181,179,158,122,105,107,73,68,69,83,93,56,32,26,23,19,13,22,22,26,18,7,100,101,101,104,91,94,183,167,141,111,118,111,73,70,70,82,54,17,33,29,28,22,12,14,21,21,20,5
15,72,86,95,97,102,111,119,126,131,137,142,145,150,153,158,162,164,168,170,172,173,175,175,176,178,178,178,178,75,88,97,100,104,114,122,130,135,140,143,147,151,156,160,164,166,170,172,174,176,176,176,179,178,180,180,179,76,90,99,101,105,115,123,131,137,141,144,148,153,158,161,165,169,172,175,176,177,178,179,179,180,182,181,181,77,90,100,102,107,117,125,131,137,142,146,151,155,158,161,167,170,173,175,177,178,180,180,181,182,185,184,184,78,92,101,103,110,119,128,134,140,146,148,153,157,160,164,168,171,175,177,178,180,181,182,184,185,185,186,186,81,94,102,105,111,120,127,135,142,147,149,153,157,161,166,170,173,176,177,177,180,182,183,184,186,186,185,187,83,96,104,105,113,123,130,137,143,149,152,158,166,171,173,177,180,181,185,187,191,191,185,184,185,185,186,188,85,99,105,106,114,125,132,138,143,146,144,133,124,131,140,147,153,153,143,134,136,160,182,193,195,194,193,189,85,98,105,111,116,123,123,119,119,122,114,102,97,93,96,98,108,118,108,103,85,70,84,104,132,158,181,194,88,100,111,122,118,124,115,95,93,87,72,86,108,108,102,88,107,135,125,124,107,88,77,59,45,47,63,95,90,102,110,90,67,64,45,21,29,27,22,30,46,45,37,39,89,105,105,103,90,90,97,85,66,52,42,48,92,104,108,107,97,78,72,87,109,127,137,131,122,109,93,64,82,83,91,67,70,82,113,94,77,59,51,62,93,102,107,114,126,136,144,152,155,157,163,168,172,184,167,118,104,81,67,46,69,99,127,105,92,74,65,77,93,102,108,113,121,130,137,142,148,152,158,162,167,163,129,139,98,25,38,0,84,144,133,108,106,91,81,82,93,103,106,111,121,130,137,143,149,152,157,162,166,150,131,107,88,0,0,0,109,159,137,105,106,94,83,74,95,103,106,112,121,130,138,144,148,153,158,164,157,147,145,86,24,0,1,0,103,165,132,101,85,76,68,55,95,104,107,113,123,131,140,144,148,152,158,164,162,126,148,120,20,0,0,0,108,147,126,92,60,52,38,34,95,105,109,114,124,133,139,144,149,154,158,163,172,156,140,144,80,14,58,119,125,119,120,75,44,35,24,33,94,105,109,114,123,132,139,144,151,154,160,165,167,177,155,143,124,112,120,109,99,87,58,24,16,8,15,21,95,103,106,114,124,132,139,143,149,155,159,163,168,176,157,126,133,110,62,68,51,26,31,90,82,83,107,135,96,104,107,116,127,134,142,149,156,162,166,169,173,148,104,89,97,78,41,26,9,0,0,156,214,202,206,204,62,68,73,77,83,88,97,101,105,112,120,122,145,130,92,65,41,39,17,0,0,0,0,60,204,188,195,198,46,48,47,50,54,51,50,49,52,52,55,50,85,108,49,20,9,31,47,23,20,51,39,55,92,93,99,105,55,56,59,61,62,64,63,63,67,69,70,69,72,67,34,42,59,70,72,71,68,71,72,67,64,64,63,63,54,55,57,59,61,60,62,63,63,66,66,68,68,64,73,81,76,72,69,71,72,71,70,72,74,74,75,75,55,58,59,60,61,61,62,64,63,64,64,65,68,67,69,72,73,77,72,71,69,70,73,74,73,74,75,77,55,56,61,63,63,64,64,66,66,66,66,67,69,69,69,68,68,72,72,70,70,71,72,73,74,75,75,77,54,55,60,61,63,64,64,65,66,68,67,69,68,70,71,69,68,70,71,72,71,71,72,73,72,72,75,75
3,130,133,135,137,139,141,143,144,144,144,144,143,142,143,142,142,140,139,140,137,136,136,135,133,132,130,128,126,132,136,138,139,142,144,145,146,147,147,147,145,145,145,144,143,149,141,124,141,138,137,137,135,133,131,130,129,134,137,140,142,145,146,147,148,149,148,149,148,148,147,147,142,163,143,80,136,142,139,138,137,135,133,132,130,136,139,142,143,146,148,149,150,151,150,149,149,150,149,149,145,162,142,75,120,147,141,140,139,137,136,134,131,138,141,143,146,148,149,151,152,152,151,151,151,151,151,151,146,160,144,79,116,151,142,143,142,139,137,135,134,139,142,144,147,149,151,152,155,155,153,153,153,154,152,151,148,162,167,97,107,152,145,144,142,141,138,137,135,140,144,146,148,151,153,155,156,157,156,156,155,156,155,154,149,166,174,100,93,151,146,145,144,142,140,138,136,142,145,148,151,154,156,157,158,158,158,158,158,157,156,156,153,168,168,94,87,151,147,147,146,144,141,139,138,143,147,150,153,156,158,159,160,160,160,159,159,159,159,158,152,175,174,101,88,153,149,148,147,145,142,141,138,145,149,152,155,158,159,161,161,162,162,162,161,160,159,157,155,151,145,100,85,153,151,150,149,147,144,142,141,148,152,155,157,159,162,162,164,164,164,164,163,161,158,169,173,109,76,67,80,158,151,152,150,148,145,143,142,149,153,157,159,162,163,165,165,166,166,165,167,173,160,120,129,153,108,52,101,168,157,153,151,150,147,145,142,151,156,158,161,164,165,168,168,169,166,170,141,157,160,99,73,175,117,83,85,115,134,155,152,150,149,146,144,152,157,160,163,165,167,169,171,169,174,181,130,88,145,128,84,139,120,99,83,106,87,131,159,151,149,148,145,155,159,162,164,166,168,170,170,173,191,177,158,107,117,140,80,99,134,120,99,111,71,114,163,153,152,148,147,157,161,164,166,168,170,172,170,185,177,170,168,116,92,126,78,96,105,82,99,93,61,110,166,154,153,150,148,158,162,165,168,170,171,174,172,196,184,149,154,118,75,108,76,98,148,71,111,121,67,100,168,155,155,152,150,159,163,166,170,171,172,175,175,183,167,134,142,97,62,106,61,96,180,84,93,133,70,78,165,157,156,153,151,160,164,168,170,172,175,176,176,181,187,166,139,93,82,102,76,73,131,90,96,109,65,72,164,159,158,155,153,161,165,168,170,173,175,177,177,188,192,179,141,97,83,111,98,132,165,131,115,84,52,115,170,159,159,157,155,160,166,169,171,175,175,178,177,186,196,186,147,110,92,97,150,172,149,112,95,78,60,160,165,162,160,158,157,158,164,168,172,175,175,177,178,182,194,181,144,140,100,121,184,159,123,102,90,69,98,174,161,162,159,157,156,159,166,170,172,176,177,179,179,184,187,175,155,145,115,116,153,143,113,98,80,62,149,170,163,163,160,156,154,161,167,170,173,176,179,179,189,103,146,179,157,143,121,96,115,112,95,81,62,122,176,166,165,162,161,162,163,161,166,169,173,175,177,182,173,52,65,149,154,143,103,79,78,82,83,63,119,177,168,171,174,173,166,140,98,165,171,174,177,179,180,193,121,51,53,61,100,108,71,69,66,70,56,51,173,180,176,156,126,112,83,47,33,124,125,128,130,130,130,129,73,57,54,47,43,51,69,68,52,49,30,0,69,107,78,44,25,20,19,26,31,95,96,97,97,95,97,78,58,64,49,48,44,42,30,23,23,19,14,8,19,25,17,21,22,28,27,19,24
11,106,111,116,122,126,129,133,136,139,141,142,146,155,133,146,145,145,146,145,145,145,144,143,144,127,147,157,161,109,115,121,127,130,133,137,140,144,146,144,151,171,103,144,150,147,147,146,145,145,144,144,140,140,161,162,167,113,118,126,132,136,139,144,147,149,151,150,156,190,98,128,158,150,150,150,149,149,147,145,142,160,114,159,170,117,122,130,137,141,144,148,152,154,157,156,163,193,95,116,165,155,155,154,154,153,152,150,148,149,154,172,168,120,126,135,142,146,150,154,159,161,163,162,170,187,90,119,170,160,161,160,159,158,157,155,152,151,156,133,162,123,129,140,147,151,156,160,164,166,169,167,179,192,93,126,176,165,167,166,165,164,161,159,156,156,148,132,166,126,133,144,151,156,160,165,168,171,175,170,198,185,78,140,181,172,172,172,170,169,166,164,162,160,158,156,171,129,137,149,156,161,165,170,174,177,180,175,212,185,76,157,185,177,177,177,176,174,172,170,166,165,162,160,179,132,141,153,160,165,169,174,178,181,182,185,192,125,81,164,188,182,181,180,181,179,177,175,172,170,167,164,181,136,144,156,163,169,174,178,182,185,182,215,187,94,76,170,192,185,185,185,185,183,182,180,177,174,171,168,182,139,147,159,167,172,177,182,184,190,190,135,153,126,85,179,194,189,189,189,188,187,185,183,181,178,177,172,181,141,151,163,170,175,180,183,193,227,188,87,86,141,94,171,199,192,192,192,191,190,188,187,183,187,159,95,192,143,153,165,173,178,181,192,155,156,167,124,83,130,97,149,204,193,195,195,194,193,192,192,188,195,111,54,118,145,156,168,175,178,197,211,146,85,108,153,95,101,102,121,207,196,198,198,198,192,182,169,167,160,75,65,56,146,158,170,176,200,204,176,172,140,86,123,104,83,115,92,197,202,202,196,188,188,170,151,149,126,76,65,64,148,161,170,201,206,147,107,145,167,101,82,94,73,139,114,169,209,194,194,194,193,166,141,122,99,67,58,60,150,162,173,210,184,129,96,78,153,106,75,98,60,131,147,100,162,198,203,185,150,118,80,53,52,53,50,58,151,163,173,201,163,109,83,58,125,116,79,111,64,93,138,107,165,193,175,129,89,66,44,47,48,46,51,47,152,165,172,191,159,114,92,73,91,122,89,124,91,140,149,129,157,152,111,64,45,60,56,39,43,46,54,26,151,164,171,195,177,131,103,84,81,100,113,138,133,181,148,111,123,88,43,53,43,45,59,49,34,37,38,35,152,166,173,198,182,140,119,92,92,102,156,195,197,170,128,107,80,52,37,41,52,39,45,54,43,35,34,35,154,167,175,198,187,155,127,98,107,111,180,203,182,151,113,89,30,37,54,32,47,49,38,42,49,35,33,34,147,158,167,191,186,162,131,109,116,115,174,190,159,126,103,77,31,22,52,46,34,48,44,35,40,42,28,34,106,109,103,146,185,168,138,124,120,117,155,177,151,116,92,56,47,15,39,52,40,38,45,37,31,41,31,26,107,107,105,117,176,171,144,135,123,112,143,161,140,107,61,30,57,20,24,49,46,41,38,38,29,33,37,24,108,109,109,111,174,170,149,138,123,101,127,130,110,77,32,23,54,36,12,40,49,40,38,36,31,28,30,31,108,109,110,110,175,178,154,137,120,103,109,110,78,30,34,28,44,50,15,24,48,42,35,37,34,29,26,27,108,109,111,102,163,177,140,124,114,105,107,97,61,27,13,33,37,54,30,14,38,45,34,35,35,28,27,23
4,160,160,160,160,160,159,158,158,157,154,154,152,153,155,152,151,151,146,145,145,143,143,142,143,140,137,134,134,161,161,161,161,161,161,159,160,159,157,157,158,158,157,152,149,151,153,145,145,145,144,144,143,141,139,135,135,164,164,163,162,162,161,161,162,160,159,146,130,134,150,154,121,86,111,156,150,151,151,143,143,142,140,137,136,166,166,164,163,163,162,163,163,162,163,152,143,126,102,103,119,108,62,112,135,106,123,148,143,144,141,139,138,166,165,164,165,165,166,164,164,155,154,150,141,136,128,79,52,97,101,61,54,64,37,110,152,141,142,141,139,168,166,166,167,166,167,165,160,145,145,130,94,46,105,88,24,55,100,62,22,54,43,50,154,142,143,143,141,169,168,168,168,168,167,166,161,161,147,135,105,39,61,90,32,35,76,42,20,70,65,30,132,149,144,143,141,168,168,168,168,167,167,169,161,111,75,108,127,60,55,98,86,67,66,29,33,80,68,28,128,152,143,142,141,170,170,169,169,168,168,167,170,127,58,16,136,107,72,98,120,121,71,68,68,67,92,47,125,151,144,142,142,170,170,171,170,170,170,170,159,106,49,0,61,108,54,57,78,109,79,71,75,68,83,40,82,159,145,144,142,171,170,172,173,170,169,171,147,102,81,68,31,31,43,30,23,50,85,75,69,65,61,49,44,155,147,145,144,173,172,173,174,172,170,171,151,135,110,69,35,20,40,35,41,30,47,63,57,53,75,72,27,129,154,147,145,174,174,174,174,172,171,172,158,137,97,62,30,28,36,41,63,55,28,12,63,110,104,81,32,91,159,145,144,175,175,176,176,175,172,172,161,121,80,47,25,27,40,64,68,67,65,78,89,107,110,94,57,55,157,146,143,177,177,177,175,176,172,172,159,127,97,60,33,40,50,64,81,79,101,130,129,102,130,119,75,34,145,150,145,178,177,178,177,177,174,171,165,140,105,68,37,36,50,79,96,103,113,130,139,131,110,103,70,19,133,153,145,176,176,177,178,178,176,171,160,143,115,80,41,35,57,82,100,119,128,138,133,118,104,75,46,23,146,152,147,176,176,177,178,179,176,168,154,151,128,94,60,41,42,79,113,127,143,145,130,107,89,65,15,68,163,147,148,177,177,177,177,179,178,166,147,151,134,101,75,53,39,82,128,139,150,142,122,96,79,48,11,135,157,150,149,177,177,177,177,178,178,166,143,141,131,105,81,60,49,82,138,140,141,130,108,85,68,24,62,167,150,152,150,177,177,178,179,180,181,167,140,136,135,118,88,69,61,93,140,134,127,115,93,73,54,14,129,161,153,151,149,178,178,180,180,180,181,172,138,137,139,123,94,82,66,101,133,128,121,101,75,61,23,50,167,155,156,153,151,178,179,180,179,180,181,179,150,141,144,129,104,85,63,97,126,120,112,87,60,44,9,130,166,158,157,154,151,180,181,180,180,181,181,182,156,151,148,127,109,90,64,85,117,106,92,66,49,6,72,173,158,158,156,154,152,180,180,179,182,182,182,180,163,158,143,127,114,97,73,76,95,86,68,51,20,28,161,162,159,157,156,153,153,181,181,182,181,181,182,179,166,159,140,124,108,93,80,70,77,73,54,34,1,132,170,160,159,159,157,155,153,182,182,182,181,181,182,173,164,153,141,129,120,108,98,78,68,65,48,8,70,176,161,162,160,157,157,156,153,182,182,183,182,182,182,163,163,155,143,131,128,111,102,82,65,57,33,13,143,171,165,162,160,158,157,155,153
24,155,157,160,160,161,162,163,163,163,163,163,163,162,162,162,160,159,159,158,158,157,155,154,153,152,151,149,149,156,159,161,161,162,163,164,165,165,164,164,164,164,163,162,162,161,161,161,161,158,157,157,156,156,153,153,151,157,160,162,163,164,165,165,167,168,166,167,167,168,167,165,164,163,164,162,161,161,159,158,158,157,156,154,153,159,160,162,164,166,166,167,168,168,167,167,168,168,168,167,166,166,164,162,163,162,161,161,159,158,157,156,155,160,161,164,164,165,164,168,170,170,169,169,169,169,169,167,166,166,164,164,164,162,162,161,161,160,158,157,156,161,162,165,163,178,150,127,175,169,171,170,170,170,169,169,168,168,166,165,165,165,164,163,161,161,160,159,158,163,164,167,164,186,130,110,178,169,171,171,172,170,170,169,169,168,168,166,165,165,165,164,163,162,161,160,159,162,164,167,168,183,108,124,179,170,172,172,173,174,171,169,169,169,168,167,167,167,166,164,164,163,162,161,160,165,166,167,174,180,106,134,180,172,174,172,171,167,174,172,170,170,170,168,169,168,167,165,164,163,163,162,161,167,167,168,177,180,104,138,187,173,173,180,177,146,118,172,174,170,171,169,170,171,169,171,168,164,163,164,163,168,169,169,179,166,122,143,155,178,141,141,180,163,116,100,172,174,171,172,170,161,148,140,161,169,165,165,164,167,171,170,182,177,182,175,147,193,146,103,169,173,128,67,122,181,172,168,150,113,98,84,114,174,167,167,164,168,172,171,182,181,202,177,169,193,161,99,162,168,118,67,87,174,171,163,123,86,88,114,142,170,168,167,165,170,173,173,183,176,208,182,180,199,155,84,125,133,93,50,63,152,172,146,102,84,153,174,172,169,168,168,167,171,176,173,187,203,206,173,183,207,144,90,39,89,123,97,107,149,149,114,86,139,182,171,172,171,170,169,168,172,176,175,193,198,187,154,141,174,117,74,71,158,175,162,151,148,120,85,111,179,174,176,174,173,171,170,168,172,174,180,190,166,169,144,105,101,105,148,194,189,171,156,138,128,111,87,165,179,175,177,175,175,173,171,169,174,174,185,204,177,163,150,133,99,194,210,195,186,168,141,124,111,99,128,185,176,178,175,175,175,172,171,171,175,173,192,210,187,165,148,158,200,217,197,192,180,156,130,109,106,99,172,183,178,178,177,176,175,174,172,173,176,174,201,214,191,179,179,205,217,208,200,186,167,141,112,107,90,126,189,180,181,178,178,177,176,175,174,173,176,174,205,215,196,187,202,217,216,204,196,174,150,121,108,98,98,178,184,182,182,180,179,178,177,177,176,175,178,175,205,221,201,189,207,214,200,182,175,156,128,112,100,94,166,189,183,184,182,182,180,179,178,178,176,174,178,175,199,224,204,186,196,200,190,166,154,135,114,103,98,166,191,184,185,184,183,182,181,181,179,178,177,176,179,178,191,206,190,186,200,202,191,167,152,126,103,81,156,195,187,188,186,184,185,184,183,181,180,180,177,176,179,180,185,191,185,193,198,190,187,160,140,116,76,106,194,188,189,188,188,185,186,185,183,182,181,181,178,177,179,181,183,197,206,198,192,181,182,156,131,102,67,152,196,190,190,189,189,187,185,185,184,183,182,179,179,178,179,181,183,209,208,184,191,180,169,150,129,91,78,180,194,191,190,191,190,188,186,186,185,184,183,182,181,178,177,179,181,216,206,174,196,174,159,150,123,94,81,182,193,189,190,190,189,188,185,185,184,183,183,182,180,178
3,155,155,156,155,156,156,155,157,155,155,155,153,152,152,152,151,150,149,146,144,142,140,140,138,136,135,134,132,156,156,157,157,158,157,157,158,156,155,157,154,153,153,152,151,144,148,147,145,144,141,139,139,137,136,135,132,158,158,159,159,159,158,158,159,159,158,157,155,154,154,149,168,104,125,152,145,146,143,141,140,138,136,136,134,160,159,160,160,159,160,159,159,160,158,159,158,156,153,159,162,81,128,154,146,145,144,144,142,140,138,137,136,161,162,163,164,161,161,161,161,161,160,160,159,159,153,178,132,78,149,153,149,147,145,145,144,143,140,137,136,165,164,165,166,165,165,164,163,163,162,161,161,158,167,179,94,105,160,152,153,151,150,147,146,144,142,140,138,166,166,166,168,167,167,166,167,166,163,164,164,158,189,160,80,132,164,156,155,154,153,149,147,145,144,142,141,167,168,169,170,168,169,169,168,168,166,167,162,178,182,124,80,154,164,160,159,155,153,152,150,148,146,144,143,169,172,173,172,172,172,171,171,170,169,170,166,185,160,85,111,160,149,156,158,160,156,152,152,150,149,148,144,172,174,175,175,175,174,175,174,173,172,171,169,179,165,126,137,157,149,157,149,142,156,157,152,154,153,150,148,174,175,176,177,176,176,176,175,175,175,173,172,182,188,169,139,139,141,144,159,140,104,152,160,147,148,154,150,176,177,178,178,177,178,177,177,177,176,176,173,201,176,151,154,144,122,116,102,130,113,97,127,133,105,145,155,180,179,179,179,179,181,180,179,178,179,174,185,205,179,158,142,126,110,84,86,63,120,120,93,105,98,151,156,181,181,181,181,181,182,182,180,181,179,182,209,193,145,99,86,119,109,93,85,71,69,105,84,73,145,160,156,183,183,184,183,183,184,183,183,182,180,204,210,153,102,66,49,135,163,110,88,77,74,56,69,107,167,157,157,184,184,185,185,185,184,184,185,181,193,219,184,114,78,61,51,82,183,175,153,104,70,77,76,128,168,159,158,185,186,187,186,187,187,186,188,174,208,215,162,109,83,57,49,43,94,172,197,124,64,89,82,150,168,160,159,188,189,188,188,189,188,188,190,174,199,197,164,110,68,53,47,51,44,74,124,73,87,95,94,165,167,163,161,189,189,189,190,189,189,189,191,179,191,206,175,120,78,54,52,57,68,69,65,67,98,94,104,171,166,164,161,190,191,191,192,191,191,191,193,178,188,214,176,135,94,63,58,69,77,88,101,93,95,93,117,176,167,165,164,191,192,193,193,193,193,192,194,178,185,220,184,140,103,80,60,73,89,107,116,105,92,82,132,178,167,168,167,192,193,194,194,193,194,193,196,179,179,223,187,145,116,97,65,74,104,119,118,108,88,98,167,174,169,169,168,193,192,194,195,196,196,196,197,182,174,215,184,152,120,101,73,76,106,112,108,100,91,158,182,174,173,170,168,194,194,196,197,196,195,195,198,185,172,212,188,158,122,97,79,79,99,105,101,88,113,181,177,175,174,172,170,195,196,197,198,199,198,197,199,190,171,205,188,156,121,98,89,83,96,101,97,90,155,184,177,176,176,173,171,196,197,197,198,198,198,198,200,192,181,204,179,151,122,106,97,85,91,97,92,139,185,181,179,177,175,174,172,196,197,198,198,198,198,198,200,192,180,208,179,154,129,112,99,91,92,95,135,188,183,182,180,178,176,174,172,197,198,198,198,198,199,200,201,190,178,201,171,151,129,105,96,97,92,117,185,188,185,184,182,181,179,175,173
15,165,170,174,178,145,134,136,140,126,81,142,152,78,24,76,99,100,106,111,116,123,140,151,156,164,169,173,178,166,171,175,177,143,138,138,145,118,88,148,153,66,30,83,98,101,106,112,118,125,141,151,156,165,170,174,178,167,172,177,175,143,142,141,150,106,98,151,148,54,37,88,97,102,106,113,119,125,143,152,156,165,170,175,179,170,174,178,171,141,139,139,154,97,110,154,145,43,42,90,96,101,108,113,119,128,143,150,157,165,170,176,180,172,176,179,171,168,157,145,145,98,119,153,136,27,44,93,96,103,107,113,120,129,145,151,159,167,172,177,180,171,177,180,174,163,165,163,156,147,143,146,128,75,74,98,98,101,106,114,119,130,147,153,160,167,172,177,181,173,178,183,165,141,136,123,139,146,148,152,157,157,145,141,135,128,122,118,119,133,151,153,162,169,172,178,182,174,179,184,162,146,141,115,113,122,115,129,159,151,151,149,152,162,162,141,126,124,131,155,161,169,174,179,184,175,180,185,160,150,151,156,132,90,121,107,136,140,135,130,137,161,178,165,139,131,98,124,166,169,174,178,183,177,181,183,158,150,150,160,127,90,163,155,89,100,132,116,141,174,177,166,156,150,118,95,149,174,176,179,184,178,183,185,155,152,152,164,116,96,163,168,61,31,90,123,184,173,177,180,177,168,143,112,106,171,176,181,184,179,183,185,154,156,151,168,118,110,163,163,48,29,97,143,198,143,175,187,193,188,153,121,94,126,182,180,185,180,185,180,157,158,167,157,139,145,141,142,57,100,172,159,126,132,178,189,198,186,152,126,111,91,157,187,184,181,187,177,156,163,171,147,153,169,165,138,118,138,140,129,89,120,209,182,166,168,154,138,117,94,106,185,185,182,188,175,156,166,153,121,137,167,169,137,122,135,132,134,141,156,159,136,138,154,155,135,114,105,83,143,194,183,189,173,160,166,165,137,115,151,153,124,129,142,139,144,156,158,134,111,118,138,138,124,110,105,93,92,175,184,189,171,165,167,168,160,92,154,123,106,123,132,136,144,156,146,122,108,109,119,121,122,120,110,102,87,108,184,190,171,167,167,173,146,94,177,106,80,93,110,114,133,146,143,122,109,111,115,115,122,126,115,109,99,85,186,190,170,169,167,177,136,128,132,89,78,60,118,131,105,127,128,119,116,118,118,118,121,123,114,108,102,93,186,188,169,171,168,173,169,118,87,81,69,32,175,183,100,120,122,116,120,128,129,127,125,119,115,112,103,96,186,187,169,174,168,181,161,93,71,103,59,20,136,185,128,123,155,145,152,154,143,132,124,115,113,116,111,99,189,185,168,175,172,180,115,79,110,169,52,32,86,143,158,109,121,157,153,149,141,127,119,112,111,114,116,108,191,183,168,179,173,189,98,126,187,170,39,39,95,100,121,102,84,127,145,134,131,121,115,115,116,118,117,113,191,184,172,182,179,191,92,158,193,165,31,43,99,104,100,103,106,122,161,131,118,118,114,118,125,124,115,111,191,180,176,183,183,189,87,163,197,157,23,49,102,102,103,105,111,110,145,174,139,108,109,109,116,124,124,115,189,178,179,184,185,180,87,175,198,141,19,54,102,100,101,104,109,114,114,167,191,153,126,107,110,124,136,122,189,179,183,186,190,170,94,184,201,126,19,62,104,99,100,102,109,113,119,136,183,153,133,144,142,147,140,129,190,183,186,186,194,159,96,188,203,112,19,67,105,97,100,103,108,112,120,135,145,140,155,166,156,159,157,150
4,179,181,181,182,184,185,187,188,187,188,187,187,187,189,187,188,186,187,188,188,188,187,189,188,188,186,185,186,181,181,183,185,187,187,188,188,188,189,188,189,188,188,189,191,194,190,189,189,192,191,189,190,189,187,188,188,183,185,187,188,189,188,189,189,189,191,191,192,194,194,187,167,157,183,183,156,158,194,194,191,193,191,190,189,186,187,189,189,189,190,191,191,191,191,191,181,175,182,204,194,162,133,139,170,141,117,180,198,194,194,192,192,188,188,189,190,192,193,194,194,194,196,195,193,173,134,138,203,188,135,75,109,152,86,110,208,192,194,195,194,190,190,192,193,193,194,195,192,192,181,196,204,188,143,87,128,192,130,83,52,121,95,90,205,194,196,196,195,191,193,193,194,195,195,194,196,192,140,115,150,194,150,89,49,173,148,102,42,108,122,89,200,199,198,196,197,193,195,196,196,196,194,198,195,196,145,78,63,174,176,107,35,141,196,137,55,102,155,98,198,201,199,198,199,193,196,198,197,198,196,200,169,164,153,113,41,147,203,108,78,153,193,144,78,73,139,123,207,200,200,200,200,195,196,197,199,201,199,201,176,110,154,156,66,97,183,113,70,104,143,136,75,60,88,73,191,205,200,201,202,195,197,199,199,200,200,204,184,146,142,145,86,69,97,94,85,80,98,108,72,80,109,80,122,214,201,204,203,197,198,201,201,201,200,206,200,178,144,107,79,76,89,83,95,99,91,85,74,143,152,138,98,180,211,203,203,200,201,202,202,203,202,209,199,165,143,114,94,96,100,102,119,120,124,136,131,146,175,160,113,109,215,204,205,199,201,202,204,204,203,209,194,153,126,111,97,110,120,141,151,165,184,202,196,167,160,134,100,65,176,214,204,200,201,203,205,205,204,208,199,163,136,118,107,126,128,164,196,179,196,196,191,178,153,121,86,64,134,222,204,201,203,205,207,207,205,207,213,181,149,121,114,124,133,187,196,185,194,193,186,169,149,120,89,61,157,218,205,202,204,206,207,208,207,205,212,192,162,134,114,124,142,191,196,195,201,199,184,171,151,116,82,78,203,211,208,203,205,206,207,208,209,207,211,206,176,145,117,142,144,182,200,207,211,206,192,171,136,108,70,126,224,210,212,204,206,206,207,208,210,208,209,212,187,153,131,155,154,173,203,212,214,218,204,163,124,100,69,178,220,211,212,205,206,208,209,210,211,208,205,210,204,158,139,157,164,181,204,216,220,223,195,149,123,85,89,216,213,214,212,207,207,209,209,212,212,212,201,198,204,170,146,156,162,185,207,212,224,206,168,135,119,70,137,228,212,215,214,208,209,209,210,212,212,215,196,193,204,185,158,152,159,182,206,204,203,179,150,127,104,67,192,222,213,215,214,208,209,210,210,210,210,216,204,188,203,194,174,160,163,178,196,198,177,158,136,110,76,122,227,215,215,215,214,208,208,209,209,211,212,213,214,188,186,189,181,169,166,166,171,175,156,136,109,81,83,208,220,217,218,217,216,205,207,207,208,209,210,211,216,195,181,188,178,171,165,152,152,161,145,117,92,58,152,228,214,216,217,218,216,206,207,207,209,210,211,212,217,198,187,184,170,164,159,142,138,147,133,93,79,68,201,220,216,216,216,216,215,208,209,209,211,211,212,212,216,202,187,172,146,153,152,144,142,136,116,89,70,96,222,216,218,218,216,217,216,208,209,211,212,212,212,212,216,205,189,181,158,172,168,158,147,132,115,97,63,124,227,216,219,218,217,216,216
18,172,173,175,177,180,185,189,193,195,198,202,203,204,207,208,210,212,212,213,214,214,215,216,216,215,215,215,214,172,175,176,179,182,186,190,193,198,200,202,204,205,207,208,210,213,213,214,216,217,217,218,216,216,216,215,216,172,176,178,178,181,188,192,195,199,201,203,206,207,210,210,213,214,214,216,216,218,217,217,220,218,218,216,216,172,176,178,179,183,187,193,198,200,202,204,207,208,210,212,214,215,214,215,217,217,219,217,174,219,217,218,218,174,177,179,181,185,187,193,198,201,203,205,208,210,213,214,215,215,215,217,219,215,236,221,132,159,234,223,217,176,179,180,181,186,190,195,199,202,205,208,209,211,213,215,215,215,217,219,226,206,228,226,160,124,169,206,225,177,179,181,183,187,192,196,200,203,206,209,210,212,215,218,215,222,197,168,195,203,197,241,204,167,126,121,169,177,180,182,184,188,193,197,201,203,205,208,210,212,213,197,220,235,188,172,121,179,198,240,219,177,166,163,123,177,180,182,184,188,193,198,201,206,208,209,206,221,223,176,145,216,202,184,129,153,198,208,214,197,179,163,142,179,181,183,185,189,193,199,202,207,210,209,213,239,225,204,132,184,223,178,140,115,188,158,154,196,191,164,150,179,181,184,188,191,195,199,204,208,210,208,243,255,231,209,156,150,224,180,147,97,149,141,101,224,218,180,156,181,184,184,187,193,197,201,205,210,211,215,242,253,240,208,167,123,209,173,136,86,97,117,101,212,232,191,154,181,185,185,188,193,197,202,206,211,206,228,255,240,219,211,163,110,164,146,119,91,72,84,72,203,227,200,156,181,184,186,189,194,198,203,207,211,211,251,249,231,191,169,133,104,134,126,116,72,67,140,129,221,233,189,155,183,186,186,189,195,199,203,209,206,230,255,220,210,187,118,110,104,129,140,105,102,203,230,189,187,212,170,147,185,186,187,191,196,202,205,210,208,225,255,246,201,160,130,132,100,160,173,157,231,237,217,197,146,185,156,143,185,187,188,191,197,202,206,211,211,223,255,252,218,161,153,151,102,168,202,240,244,216,191,198,152,155,161,139,185,188,189,193,197,203,208,213,210,233,255,254,228,197,178,179,149,164,255,248,222,200,181,189,182,139,157,126,186,188,189,193,198,203,208,214,210,241,255,248,208,197,172,158,181,255,252,228,209,199,193,189,187,145,135,115,187,188,190,194,199,204,208,214,211,246,255,239,211,198,173,170,223,255,243,219,212,209,183,185,177,141,115,96,188,190,190,195,201,206,209,213,211,249,255,238,212,216,177,213,229,244,233,209,212,194,164,184,164,128,106,74,189,191,191,196,201,206,210,215,213,249,255,242,232,219,184,200,223,219,219,198,198,176,169,180,143,117,82,130,189,191,192,196,202,207,211,215,215,245,255,238,239,208,180,173,206,203,204,195,187,171,169,146,119,96,93,226,188,190,192,197,202,208,212,216,215,245,255,244,235,195,155,181,192,201,203,192,183,163,144,112,104,74,187,248,189,191,192,199,203,208,212,218,218,239,250,245,210,167,158,190,189,204,204,192,169,153,127,112,81,130,250,236,191,191,191,197,203,208,211,217,217,242,237,225,209,200,197,193,189,209,199,178,150,138,122,94,84,226,244,237,190,191,193,198,203,212,219,216,222,255,252,245,241,228,211,191,180,204,190,165,139,123,107,82,199,249,238,241,191,192,195,199,209,189,176,210,230,255,251,251,239,222,198,190,178,193,180,156,134,118,84,161,255,239,242,242
21,98,104,108,108,110,114,117,120,122,124,125,126,127,129,130,130,130,133,131,130,130,129,129,127,126,126,126,125,99,104,108,110,112,115,118,121,123,125,126,127,129,130,131,132,133,111,126,132,131,130,130,130,129,127,127,126,100,105,109,110,113,116,119,122,124,127,128,128,130,133,131,137,146,72,94,138,129,131,132,130,128,127,128,128,100,106,109,110,113,117,121,122,124,127,128,129,131,133,132,141,144,74,94,141,133,133,133,131,131,131,130,130,101,107,110,110,115,118,122,124,125,126,129,131,132,133,132,144,139,79,96,142,133,134,134,122,94,124,133,129,103,107,110,112,116,120,122,126,126,128,130,132,133,134,133,147,139,80,97,144,135,136,133,110,65,114,137,131,103,108,111,113,116,120,123,127,128,130,132,133,134,136,135,148,139,86,98,144,136,135,130,104,71,129,134,133,102,108,112,113,116,120,124,126,129,131,133,134,135,138,135,148,137,88,93,145,136,135,127,94,81,139,133,134,103,109,113,114,117,121,125,127,130,132,133,135,137,138,135,150,137,90,85,145,137,134,125,84,103,142,134,135,104,109,112,114,119,122,127,129,131,133,134,136,137,139,135,157,144,88,89,147,136,129,118,74,122,140,136,135,104,111,114,115,120,124,126,129,131,133,134,136,137,139,138,159,136,82,98,147,131,129,100,76,138,138,136,136,105,112,115,116,120,124,126,129,131,133,135,137,139,131,139,152,117,72,97,147,132,131,80,97,146,137,138,138,105,112,116,116,120,125,127,130,132,135,135,145,127,98,105,123,89,62,98,144,138,119,69,125,145,139,139,139,106,113,116,117,121,125,127,131,134,136,137,143,126,93,82,65,63,68,106,132,130,95,76,144,142,140,140,140,106,113,116,117,122,126,128,132,134,135,140,142,135,128,112,82,51,74,99,111,109,71,100,151,141,143,142,141,106,114,116,118,123,126,129,133,136,135,147,158,146,164,136,99,58,58,73,84,87,63,126,149,143,144,143,142,108,115,117,118,124,127,130,133,135,139,141,133,145,152,126,83,64,57,62,71,71,72,144,146,144,144,144,143,109,114,117,118,123,127,131,134,135,147,133,104,140,111,117,95,73,63,55,62,60,84,151,145,145,145,144,144,108,114,116,119,123,127,131,135,135,147,151,123,98,64,109,115,84,66,61,58,55,87,153,146,146,145,144,144,108,115,117,119,124,128,131,135,135,149,140,101,83,71,88,127,98,77,65,62,54,80,154,147,147,147,145,145,109,115,116,119,124,129,132,136,136,156,138,114,118,94,115,149,106,97,75,64,58,83,153,149,148,147,146,146,110,115,116,119,125,128,133,137,137,161,143,132,112,105,167,155,111,103,81,68,60,88,155,149,149,149,148,146,110,115,117,120,125,129,133,137,138,159,158,136,105,138,171,139,106,96,85,72,63,93,155,150,150,150,149,148,110,114,117,120,124,128,133,136,137,160,163,125,114,143,163,132,112,90,85,76,63,106,157,149,150,149,149,147,109,113,116,118,122,128,132,134,134,156,145,121,125,136,162,133,123,99,74,74,63,115,155,148,150,149,147,147,109,113,115,118,124,128,132,135,135,150,132,136,131,127,162,132,113,100,77,74,66,122,156,149,150,149,148,147,109,114,115,118,124,129,133,136,138,143,137,158,130,133,153,122,100,87,77,72,68,132,155,150,150,149,149,148,108,114,115,119,123,129,133,136,138,140,144,148,122,118,140,114,90,77,74,68,68,139,154,150,151,150,149,149
3,173,175,178,180,181,182,184,184,183,184,183,183,183,183,184,181,180,178,176,176,174,171,169,165,163,162,160,156,174,177,179,182,182,183,185,185,185,186,185,183,183,183,182,185,182,180,178,177,174,172,170,167,164,162,161,158,175,178,179,182,183,183,184,185,185,185,185,185,183,188,160,138,185,179,179,177,176,173,171,168,166,164,162,160,176,178,180,183,183,185,186,187,186,186,186,186,185,191,158,95,176,182,179,178,177,174,171,168,166,164,162,161,177,179,182,184,185,186,186,186,187,187,187,186,185,191,158,88,162,188,180,178,177,176,172,169,167,166,165,163,178,180,183,185,187,188,189,189,189,190,190,188,186,190,153,80,158,190,181,180,178,177,174,171,169,168,165,164,180,183,185,187,189,191,191,192,193,193,193,192,190,195,171,92,149,192,182,182,180,178,176,174,172,169,167,166,183,185,187,190,191,193,194,194,194,194,193,193,191,189,158,88,137,197,184,183,182,179,178,176,175,172,169,168,184,187,189,192,193,194,196,196,196,196,196,193,198,176,132,87,126,195,186,185,184,182,180,177,175,174,171,169,185,188,192,194,195,197,198,198,199,199,199,196,203,211,181,119,153,144,177,190,184,183,182,180,177,175,173,171,186,189,193,195,198,199,200,201,201,200,202,196,151,148,183,136,172,109,129,201,184,185,183,181,178,177,175,172,187,192,195,197,198,199,201,202,203,201,195,199,154,106,130,141,149,134,76,144,195,186,186,184,181,178,176,174,189,192,196,197,199,200,201,202,204,203,145,134,184,143,101,144,148,145,104,81,165,194,185,185,182,179,178,175,191,194,197,199,200,201,203,204,207,199,162,122,148,170,108,129,134,132,128,79,148,200,187,186,183,182,179,176,191,196,198,200,201,203,205,206,207,164,176,154,117,159,121,71,65,140,137,75,164,199,189,187,185,182,180,177,192,196,199,201,202,204,204,210,191,131,128,154,91,119,112,60,53,138,143,81,176,198,190,187,186,184,181,178,193,195,199,201,203,206,205,211,189,140,89,129,69,93,129,88,87,149,141,82,180,198,192,189,187,186,182,180,194,196,200,202,205,206,208,206,170,131,93,103,91,81,133,91,134,154,125,80,188,199,193,190,189,187,183,180,194,197,201,204,206,207,209,205,185,155,108,87,91,104,156,147,158,137,86,103,206,196,195,193,190,187,184,181,195,198,201,205,206,207,210,207,192,167,124,110,98,161,202,183,146,123,68,154,209,195,196,195,191,189,185,182,197,200,202,206,206,208,211,207,189,170,137,115,110,181,184,162,141,113,80,194,203,198,196,195,192,190,185,183,195,199,202,206,207,208,211,208,179,163,142,126,122,179,177,156,136,90,110,214,200,200,197,195,193,191,187,184,194,199,202,206,208,210,212,213,184,166,153,142,128,169,170,146,116,70,167,213,201,201,200,197,195,191,188,186,195,199,204,207,207,210,213,216,200,171,165,147,124,145,147,123,79,97,215,206,204,201,200,198,195,193,189,187,195,199,204,207,208,210,212,215,209,185,166,148,129,126,129,108,62,169,216,205,206,202,200,198,196,193,190,188,196,200,204,207,209,211,212,215,211,194,162,151,145,132,124,86,92,215,207,207,206,203,200,198,196,194,192,188,195,199,203,207,208,212,214,215,201,192,174,169,153,134,114,69,129,222,206,208,208,206,202,198,197,194,193,190,194,199,203,206,210,213,214,213,191,197,185,169,148,124,100,62,159,220,206,207,206,204,201,199,196,193,192,189
1,29,55,56,62,69,88,110,125,129,137,144,148,153,162,163,167,167,168,171,171,172,174,175,176,176,176,177,175,39,56,58,64,71,93,115,129,134,142,150,151,166,190,118,163,174,175,174,176,176,175,176,177,176,177,177,176,47,56,60,65,72,96,119,132,139,148,156,157,181,203,93,117,129,165,186,182,181,182,182,180,179,179,178,178,54,57,63,67,74,99,124,137,144,149,192,157,144,210,96,105,120,117,199,186,189,190,189,187,184,183,182,182,58,58,63,68,78,104,126,139,147,152,211,162,108,203,95,97,141,82,190,197,195,195,195,193,191,190,189,188,58,59,65,70,82,109,131,143,152,156,211,173,98,182,101,92,143,73,172,210,200,202,201,199,198,197,195,193,60,60,66,70,85,114,136,145,154,160,215,175,81,167,124,99,155,88,154,218,206,208,208,206,203,202,201,200,61,62,67,71,90,119,140,148,164,180,185,181,80,129,118,93,161,97,139,227,211,213,213,212,209,210,209,207,62,62,69,72,94,124,145,147,184,183,158,182,82,109,120,76,153,102,131,231,217,219,219,216,215,215,214,211,64,65,70,73,96,127,149,147,211,176,136,179,81,126,138,78,177,134,128,232,222,222,222,222,221,220,218,217,65,67,72,76,101,130,152,153,216,157,122,199,97,115,134,80,176,152,119,233,227,228,227,226,224,223,223,222,64,67,72,76,105,135,156,158,217,152,103,190,105,80,116,91,167,153,101,229,232,231,231,229,227,227,228,227,65,67,71,77,109,139,158,164,223,157,81,163,95,69,106,112,184,152,97,225,237,235,235,235,233,232,232,232,66,68,70,79,112,141,161,167,228,176,72,145,148,138,131,155,188,122,81,210,245,237,238,238,237,237,237,236,66,69,71,82,117,145,166,170,226,175,84,157,205,156,136,147,148,118,67,175,254,238,241,241,238,239,240,237,66,68,71,84,120,149,170,174,226,186,143,148,117,134,124,123,113,127,106,135,255,242,244,244,242,241,242,251,66,69,71,87,125,155,172,178,241,208,149,124,97,125,127,141,128,158,158,111,180,255,243,244,252,255,247,205,65,69,71,90,129,158,173,184,251,206,144,110,106,129,138,210,198,176,201,163,94,211,255,255,226,162,88,39,66,69,71,93,132,162,175,189,251,202,132,105,114,136,175,234,245,189,218,166,80,149,255,136,51,29,23,29,65,68,70,96,135,164,178,188,247,210,134,107,124,147,194,231,254,238,189,122,75,137,121,35,26,21,37,20,63,66,68,97,136,165,178,186,238,217,145,108,130,159,207,240,249,227,171,110,85,58,22,47,45,2,32,32,63,66,68,99,139,169,181,187,232,224,171,116,132,163,209,249,240,206,160,111,79,48,27,15,50,10,4,37,56,60,63,98,141,171,184,189,225,226,192,131,133,162,209,248,223,189,148,105,76,46,34,0,27,35,0,17,78,74,75,105,145,173,186,194,218,220,201,147,137,153,209,233,211,181,134,97,71,47,23,7,2,37,3,0,118,116,117,116,117,127,134,138,150,208,207,158,154,148,196,215,201,169,123,90,62,41,31,6,0,24,20,0,111,111,111,113,112,114,115,118,111,174,213,170,158,147,169,200,183,149,108,80,54,16,36,11,0,14,32,0,113,113,116,118,120,120,122,124,122,134,197,176,158,150,141,173,161,127,91,68,56,18,21,13,0,1,33,11,111,113,114,116,117,119,121,123,125,120,173,188,163,156,133,143,149,115,80,55,57,34,4,0,0,0,28,25
2,210,210,212,214,213,214,214,215,214,214,213,213,211,211,211,211,210,209,208,204,205,205,202,200,198,196,195,194,212,213,213,215,216,216,216,217,216,215,215,214,215,217,216,215,215,214,214,212,205,205,203,202,201,199,197,195,215,216,217,217,217,217,218,218,218,217,217,218,206,195,200,199,190,184,176,190,215,206,204,204,202,201,199,197,216,217,217,218,219,219,219,219,220,219,220,209,187,180,184,183,172,152,133,122,171,210,209,205,204,203,200,199,218,218,219,220,221,221,222,220,222,222,213,188,187,192,182,184,188,146,138,150,152,155,182,207,205,204,202,200,219,220,221,222,222,223,223,223,224,224,214,202,193,176,162,161,151,102,108,134,142,112,108,200,209,205,203,201,220,220,222,223,224,225,225,226,227,220,214,206,187,159,136,119,131,169,188,160,139,117,155,212,207,206,203,202,221,222,224,224,224,227,227,228,223,203,201,186,152,104,81,132,228,226,224,224,218,213,218,212,208,207,205,203,223,224,225,225,226,227,229,229,220,200,187,148,104,86,77,182,232,219,219,217,217,217,212,212,210,209,206,204,222,224,226,227,227,228,229,229,219,200,152,99,83,73,118,228,223,223,221,219,218,215,215,218,216,210,207,206,224,225,228,228,229,230,231,226,221,198,145,84,83,68,167,238,223,225,223,221,218,220,213,185,178,205,210,207,225,226,228,229,231,232,232,223,220,191,139,85,92,81,161,238,224,226,225,222,222,215,159,126,114,163,216,206,226,226,228,231,232,233,231,223,216,182,118,89,101,83,173,239,227,227,225,225,221,165,138,139,120,159,219,207,226,228,230,232,233,233,229,225,215,174,122,108,99,82,198,237,226,228,227,227,173,134,144,131,119,202,214,210,227,230,231,232,233,234,227,225,214,179,133,112,96,80,152,246,231,227,234,188,117,125,136,109,163,224,212,212,227,230,230,232,233,237,226,223,212,177,137,112,94,94,95,148,214,238,193,140,119,119,114,115,218,216,214,212,229,230,233,233,233,236,226,221,204,174,145,110,94,96,102,97,123,158,121,124,135,114,106,196,223,216,216,213,230,233,234,234,235,235,224,220,205,175,138,108,93,95,100,110,113,106,109,123,115,116,205,228,217,218,216,212,229,232,233,235,237,235,220,226,217,171,138,114,93,98,102,106,116,119,111,116,112,209,230,219,220,219,216,213,231,233,233,235,236,232,218,233,212,166,137,114,94,98,104,107,114,121,112,90,192,235,220,221,219,218,217,215,232,234,234,236,238,228,222,231,201,158,136,118,95,97,108,112,116,119,98,161,235,225,224,223,221,219,218,217,232,234,235,237,240,225,224,224,193,154,138,118,95,99,112,116,119,102,118,237,228,227,226,225,223,220,218,216,233,234,236,237,238,223,225,214,183,156,140,117,95,100,114,112,112,84,191,240,228,228,227,225,224,222,219,218,233,234,237,238,239,222,218,200,174,152,133,114,94,100,112,111,84,145,243,231,231,229,227,225,224,223,220,218,232,234,235,237,236,222,210,196,171,149,131,111,95,101,110,86,127,237,234,232,230,229,228,226,224,222,220,217,232,234,236,238,233,220,200,188,162,142,125,109,97,94,80,133,235,240,233,234,232,231,229,226,224,223,221,218,232,234,237,236,234,216,197,185,159,138,120,106,86,100,184,241,239,235,235,234,232,231,230,226,225,223,221,218,232,234,236,233,231,211,194,180,160,134,115,96,82,203,255,236,236,238,235,234,231,230,229,226,224,222,220,218
7,101,110,118,123,126,128,133,138,142,145,148,150,152,154,156,157,159,160,161,161,161,162,162,162,162,163,163,161,101,110,119,125,128,129,134,140,143,146,148,150,154,156,157,158,159,161,162,163,163,163,163,164,164,164,163,162,101,111,120,126,130,131,136,140,144,147,149,151,155,156,158,159,160,161,163,165,165,165,164,164,164,165,164,163,102,110,119,127,130,132,137,141,145,149,150,153,155,157,159,161,162,162,164,165,165,165,167,166,166,166,165,165,102,112,120,127,131,132,137,141,145,149,151,154,156,158,160,162,162,163,164,166,167,167,167,167,167,167,166,166,103,112,120,128,130,132,137,142,146,150,153,155,156,158,161,163,164,164,165,167,167,167,167,167,167,167,167,167,103,113,121,128,130,134,138,142,147,150,153,156,157,159,161,164,165,166,166,167,168,168,169,168,167,168,168,167,104,113,122,129,130,134,139,143,146,150,153,155,157,159,162,164,166,167,168,170,171,170,170,169,169,169,168,168,104,113,122,130,132,132,135,150,158,155,158,163,164,166,165,159,157,163,160,161,160,160,167,171,170,170,170,169,105,115,124,129,130,143,167,179,175,163,158,171,179,179,176,162,161,175,164,154,148,134,154,155,168,172,171,170,107,114,121,137,163,180,181,176,173,158,143,148,158,163,162,146,147,162,157,147,139,132,144,129,168,177,172,170,102,120,154,178,183,176,176,181,172,150,141,155,169,172,177,160,151,159,152,161,159,145,139,147,153,156,169,173,143,175,186,179,181,178,178,180,168,141,128,132,159,164,164,161,162,156,159,167,167,159,155,158,145,158,147,161,187,184,184,183,187,180,180,184,180,128,103,108,106,99,108,122,124,129,132,132,135,137,136,137,132,141,135,163,188,190,187,184,184,182,183,191,166,116,96,100,101,80,66,72,138,155,157,159,156,154,152,152,152,153,164,173,190,187,184,181,182,182,184,182,144,101,99,105,104,98,87,68,156,177,174,176,176,176,177,177,177,178,175,173,183,183,184,183,185,184,186,182,138,93,83,91,107,120,107,79,126,178,170,173,174,174,174,174,173,174,173,174,183,188,187,186,188,188,193,181,130,91,87,60,66,105,106,89,128,177,173,175,175,176,175,174,174,175,174,173,185,182,181,176,170,168,174,143,116,96,92,88,73,94,113,128,164,171,172,173,173,174,173,172,173,172,171,170,171,170,165,157,146,152,149,121,108,102,98,87,87,97,109,114,113,112,112,113,114,111,109,110,109,107,106,105,154,154,147,142,137,135,127,104,100,95,101,96,94,94,93,91,90,91,88,89,90,90,91,91,91,90,87,85,119,129,128,121,109,102,99,99,99,97,99,101,100,100,101,100,98,102,103,99,99,97,95,96,96,95,93,93,100,102,97,92,94,98,100,99,98,99,99,98,98,99,98,98,96,101,102,100,101,97,94,94,93,94,93,94,83,78,84,97,100,101,101,100,99,99,100,100,99,98,98,98,98,97,95,97,99,96,95,94,93,92,94,90,93,84,87,98,100,101,101,101,101,101,101,102,100,99,100,100,100,98,97,98,97,97,97,94,93,95,89,105,106,92,88,94,101,101,100,100,100,101,101,101,100,99,100,100,100,99,98,97,96,96,96,95,95,91,98,174,95,89,90,90,99,100,100,100,100,101,101,101,100,100,99,99,99,99,98,98,98,96,95,96,93,90,166,174,98,93,88,85,98,100,101,101,101,100,100,100,99,99,99,98,99,98,98,98,97,96,96,94,104,150,161,145
1,114,57,91,103,108,116,131,145,154,159,163,166,168,171,174,177,183,181,183,185,187,188,187,189,190,189,190,191,106,57,96,103,109,117,133,147,156,161,165,167,170,172,180,176,151,184,187,186,187,188,188,190,191,191,191,191,96,60,100,104,111,120,138,150,156,162,167,169,171,171,194,178,114,168,170,188,188,190,190,191,191,191,191,191,86,65,102,104,112,120,140,152,157,163,168,169,177,170,185,174,124,167,131,181,192,191,192,193,193,193,193,192,76,70,103,106,114,123,142,153,160,165,170,167,194,160,165,169,130,180,130,171,197,192,193,194,194,194,193,194,66,77,103,107,114,125,144,154,160,165,170,171,199,149,172,171,134,181,130,162,199,192,195,195,196,195,195,196,59,83,104,108,116,128,146,155,160,165,172,175,202,137,169,167,132,185,138,158,200,193,196,197,197,197,197,197,57,90,106,109,117,131,148,156,163,166,187,160,189,132,172,168,131,176,135,156,203,196,198,199,198,199,198,199,59,94,105,110,119,133,149,157,161,178,181,142,180,135,193,168,129,185,143,151,205,197,200,200,200,200,200,200,62,98,106,111,118,135,150,158,160,194,165,138,173,140,200,158,135,206,149,152,205,198,201,201,201,201,202,202,67,101,106,112,120,138,152,159,165,204,147,153,179,140,180,136,135,199,139,156,206,200,203,203,203,203,204,203,72,103,107,113,122,139,153,158,174,205,132,152,162,127,170,124,149,194,131,159,207,201,204,203,204,205,204,205,76,105,107,115,123,139,153,155,185,203,128,140,168,162,160,180,185,184,131,162,208,202,205,205,205,206,206,206,82,106,109,116,124,142,155,156,198,188,138,144,189,178,159,181,174,173,126,160,211,203,206,207,206,206,206,206,87,107,109,116,126,144,154,159,208,197,181,175,199,192,181,167,158,152,122,159,212,204,206,207,208,208,208,208,91,106,109,116,127,146,151,171,218,183,175,178,169,169,199,196,178,156,119,157,212,204,207,209,209,210,209,209,96,107,111,117,128,148,148,191,211,164,147,144,122,142,196,194,188,173,126,151,214,204,207,209,210,210,210,210,100,107,112,119,130,150,150,202,204,164,161,167,158,196,205,195,175,159,124,127,212,208,210,210,210,211,212,211,103,107,112,119,132,152,151,201,209,177,165,169,199,227,210,189,164,135,121,107,196,213,210,212,212,212,212,212,104,107,113,119,133,151,152,196,219,191,175,169,200,230,211,180,158,126,112,105,192,215,211,212,213,213,213,213,106,108,114,120,134,150,153,187,220,191,177,170,192,223,203,176,149,127,106,120,211,212,212,214,213,214,214,214,106,108,116,121,136,151,157,178,214,189,183,173,179,210,197,172,142,126,102,162,220,212,214,214,215,215,216,216,107,108,116,121,137,151,160,170,205,194,191,182,194,205,181,156,133,118,110,198,215,215,215,215,216,217,217,216,106,109,115,122,139,151,159,167,192,194,188,177,185,191,165,143,130,110,128,215,213,216,216,216,217,218,218,217,106,109,115,120,138,151,161,167,180,191,184,176,164,167,156,139,131,105,145,219,213,216,217,219,219,218,218,218,106,109,114,120,138,148,159,167,172,190,185,173,166,165,164,149,130,103,167,218,211,214,216,217,217,218,217,217,106,107,113,119,138,148,158,164,189,195,187,185,176,166,158,148,124,101,179,218,211,214,216,217,217,218,218,218,106,107,112,120,138,148,158,166,210,205,167,186,177,163,142,133,122,96,165,219,210,215,216,218,218,218,218,218
6,155,156,155,157,158,158,160,160,161,161,161,160,160,160,159,159,160,160,161,160,161,160,159,159,157,155,156,157,161,161,161,161,162,161,161,161,162,163,162,162,162,162,163,162,164,163,162,162,163,162,161,160,159,159,160,158,163,164,163,164,164,165,165,165,165,166,167,167,166,166,166,167,167,166,166,165,166,166,163,162,164,163,163,155,166,166,167,168,167,168,168,167,168,169,169,168,168,169,169,170,169,168,168,168,167,168,165,165,168,166,168,143,169,169,169,169,170,170,170,170,172,172,171,171,176,172,170,171,171,171,173,172,171,169,174,170,169,168,169,161,172,171,173,173,173,174,174,174,175,175,178,163,150,176,175,176,173,173,168,171,163,172,210,168,165,172,170,167,175,175,176,176,175,177,178,178,178,175,192,149,83,155,168,165,174,175,161,166,168,157,177,140,166,175,172,172,176,178,179,179,178,180,182,182,181,183,195,151,153,172,165,158,173,169,159,142,133,115,113,152,177,175,175,174,179,181,182,182,183,183,186,185,181,181,184,189,195,181,156,148,124,113,102,98,110,142,176,182,178,178,177,176,182,183,184,185,184,185,180,175,177,182,187,186,166,144,124,99,99,116,140,170,185,189,185,180,180,179,178,177,185,185,187,187,188,186,172,169,169,171,158,127,100,86,98,153,182,187,192,188,185,185,185,183,182,182,181,179,187,187,188,187,195,194,189,188,151,119,120,108,86,99,166,192,195,193,188,189,188,188,188,186,185,184,183,183,190,190,190,188,200,202,211,177,119,110,111,125,134,133,123,123,143,173,196,190,191,190,190,189,188,187,186,184,192,191,191,194,207,207,216,162,132,145,119,113,127,137,126,121,116,93,172,199,192,192,193,192,190,189,188,187,192,193,192,203,216,212,213,203,205,187,130,103,115,123,113,107,112,79,154,206,194,195,194,193,191,190,190,189,194,195,195,210,217,212,212,214,218,194,137,99,113,122,124,114,104,85,148,207,195,196,196,196,193,193,192,191,197,197,199,208,213,213,212,211,207,200,175,141,109,95,116,121,117,99,94,202,198,197,197,197,197,196,195,194,198,198,196,213,211,215,211,211,210,212,214,182,120,91,109,116,110,90,107,207,199,199,198,198,199,198,197,197,199,197,198,213,216,217,215,215,211,211,216,175,123,104,105,108,104,89,99,193,204,201,200,200,200,199,198,198,202,195,206,214,217,219,223,215,209,213,198,153,117,110,105,105,102,100,71,167,212,202,201,200,200,199,199,200,204,188,206,215,216,221,218,205,204,198,170,138,120,113,94,102,103,94,102,199,207,203,204,203,202,202,201,201,200,186,208,215,217,219,203,197,196,177,151,129,133,138,96,79,80,87,187,211,204,205,205,204,204,203,201,201,191,195,216,212,211,204,190,188,188,172,151,144,139,143,75,54,84,177,215,206,207,206,206,204,205,204,203,203,185,201,213,208,203,196,186,184,179,170,160,150,125,99,133,163,203,216,211,209,207,207,207,205,206,206,205,204,183,205,210,198,193,186,190,190,173,161,156,131,91,130,227,216,213,211,212,211,210,209,209,209,208,206,206,205,191,204,203,195,191,177,183,183,165,154,138,111,85,194,216,211,211,211,211,211,211,211,210,209,209,208,207,206,195,200,193,191,184,170,172,166,155,139,117,88,138,222,212,214,214,213,212,213,211,211,212,211,210,210,208,207,195,197,198,192,178,169,163,156,135,114,94,97,205,216,212,214,214,214,213,213,213,212,212,212,211,211,210,209
1,166,168,169,170,170,172,173,172,172,173,173,173,175,175,175,174,175,175,173,174,174,174,174,173,173,174,173,172,169,171,173,173,174,174,174,175,175,177,176,176,176,178,176,177,176,177,178,176,176,176,176,176,175,174,173,174,172,174,175,176,177,177,177,178,179,179,180,181,180,179,181,179,181,172,172,181,179,179,178,178,177,176,175,175,176,178,178,180,179,180,180,181,182,183,183,182,184,184,156,175,195,168,131,187,181,181,181,180,179,179,178,178,178,181,181,183,183,183,183,184,183,185,187,184,192,193,127,170,199,157,126,186,179,186,183,183,181,181,181,180,181,183,184,186,186,186,186,188,187,187,185,179,201,183,127,179,196,141,142,185,138,173,190,185,184,184,184,183,184,185,185,186,189,189,189,190,190,193,180,146,185,168,130,192,192,130,157,194,127,158,196,187,187,186,186,185,186,187,187,190,192,191,192,192,190,201,178,133,170,165,137,200,194,137,173,195,127,159,199,189,190,188,188,187,188,190,191,193,194,194,193,195,193,203,163,134,168,158,145,194,182,135,186,191,123,164,199,192,192,191,191,190,190,191,193,194,196,197,196,196,195,207,160,142,158,145,132,188,165,132,198,192,127,173,200,196,195,194,193,192,192,193,196,196,197,197,198,199,197,207,152,137,157,153,125,201,161,144,205,180,129,183,201,197,197,196,196,195,194,196,197,198,198,198,199,200,201,210,161,128,158,154,128,204,157,156,205,171,128,193,202,199,198,198,197,196,195,198,199,200,201,201,202,200,203,211,164,117,144,131,119,184,135,177,209,172,134,203,203,201,200,199,198,197,197,198,201,202,202,203,203,202,206,211,167,136,167,179,164,184,168,158,195,163,144,210,202,203,202,202,201,199,199,201,201,202,203,204,204,203,212,209,175,152,138,181,202,197,196,149,150,150,155,214,204,205,204,203,202,201,200,202,202,203,205,206,206,205,218,198,164,142,120,126,152,170,207,191,133,108,173,215,205,207,205,204,204,203,202,203,205,206,206,208,208,208,223,201,163,133,126,129,133,165,218,215,164,102,189,214,207,208,207,207,206,205,203,204,206,208,208,209,207,212,223,196,159,137,137,142,174,193,191,208,179,122,195,214,208,208,208,207,207,207,204,205,206,208,209,210,207,214,221,194,163,137,146,149,198,211,193,176,161,121,167,219,208,211,210,209,208,208,204,205,208,209,210,212,209,216,221,196,166,149,148,170,217,209,187,167,136,110,172,222,211,211,211,212,209,208,206,207,209,210,210,211,211,216,220,196,167,158,147,185,223,211,176,154,127,107,196,219,213,213,213,212,210,209,207,209,209,211,211,211,212,215,217,196,175,165,148,183,224,203,167,144,116,124,213,215,214,214,213,213,213,211,208,210,210,211,212,213,213,214,213,197,180,174,145,185,216,187,157,134,108,172,223,214,215,215,215,216,214,214,208,211,212,212,213,214,215,215,216,200,181,174,145,192,204,179,153,122,119,210,218,216,215,216,216,216,214,214,208,211,213,213,213,214,213,215,220,201,186,164,146,187,179,165,143,109,151,226,217,218,218,217,217,217,215,214,209,210,212,214,214,216,210,215,220,215,193,162,156,178,163,156,134,108,193,224,218,220,220,218,218,217,216,215,209,209,211,212,213,213,209,218,217,214,194,167,166,169,159,149,116,147,222,219,220,220,220,219,219,218,217,216,210,211,212,212,213,209,211,210,198,200,187,166,163,153,149,125,120,206,223,220,220,220,219,219,218,218,217,216
18,152,153,154,156,157,158,160,159,159,160,161,161,160,160,159,158,156,156,157,156,154,152,153,152,151,150,148,146,153,156,158,158,158,160,161,162,161,161,162,162,161,160,160,160,158,158,158,157,158,155,154,154,153,151,149,148,154,159,161,160,160,161,163,164,163,164,163,163,162,162,161,162,162,161,158,162,160,157,154,155,154,153,151,151,156,159,162,163,162,163,164,165,164,167,167,164,165,164,165,163,164,159,166,142,147,161,158,158,156,155,154,153,159,162,163,163,164,165,167,168,168,169,169,167,168,169,168,164,163,167,200,101,95,171,158,160,158,156,155,154,161,163,165,165,166,168,168,170,169,170,170,168,166,164,166,172,154,175,210,109,46,168,161,161,159,160,157,157,163,165,166,168,169,171,172,172,171,172,170,174,183,133,95,131,107,128,211,153,42,101,178,159,162,163,160,160,165,168,168,170,171,172,173,175,175,174,173,173,187,173,115,75,86,143,211,163,80,30,140,171,161,163,162,161,166,168,169,171,172,174,177,177,176,174,181,143,85,128,152,94,51,89,172,169,110,81,46,145,172,164,164,162,168,170,171,172,175,177,178,176,181,200,184,148,99,40,134,111,53,25,61,136,129,95,44,64,182,163,166,163,169,172,173,175,177,177,179,174,213,209,207,155,118,51,67,101,41,9,8,129,155,100,58,55,181,165,167,166,170,173,176,177,178,181,175,197,197,183,209,157,123,64,21,48,32,4,3,145,165,126,57,59,182,167,168,168,171,175,178,179,181,180,184,228,200,161,176,147,118,58,16,30,17,6,0,111,161,139,60,47,182,171,172,168,174,177,179,180,180,182,209,197,162,163,166,94,67,39,24,64,0,0,14,123,162,140,66,46,183,170,172,171,175,178,180,183,178,196,228,193,141,118,132,54,46,23,55,58,34,96,100,120,149,117,57,41,184,173,173,173,177,179,181,183,181,198,232,206,177,109,76,99,51,0,65,119,158,159,152,98,99,95,62,29,172,178,175,173,178,181,183,186,180,213,230,214,181,123,82,94,27,1,178,194,180,147,128,106,60,84,67,23,166,182,177,177,179,181,184,186,186,223,228,202,146,120,102,82,40,148,212,189,174,142,101,106,64,62,47,36,183,178,178,177,181,183,185,184,193,225,226,191,148,137,92,50,123,203,195,181,157,133,106,92,72,51,17,106,194,178,179,177,180,183,186,186,199,227,222,185,148,147,89,101,173,207,187,168,154,133,97,84,66,34,24,177,183,182,180,179,181,183,186,187,201,224,215,187,165,161,90,143,164,193,178,156,148,121,81,71,56,8,85,196,180,182,180,180,182,185,188,186,201,219,211,190,179,140,98,109,162,164,163,146,132,102,74,58,38,10,165,190,183,182,181,180,183,187,188,186,201,220,208,202,176,119,77,105,142,149,143,138,115,88,61,47,1,90,200,183,186,184,183,182,185,187,189,188,206,205,198,192,143,86,76,121,131,144,136,119,99,67,43,14,31,185,188,188,189,187,184,184,183,183,189,189,212,201,194,176,143,116,114,120,135,139,127,101,82,56,26,6,158,196,186,190,189,187,185,184,191,198,190,192,223,216,214,195,179,155,130,103,129,135,110,79,62,40,0,125,203,187,191,190,188,187,186,185,151,131,183,209,224,213,212,194,166,141,124,92,116,122,89,66,50,7,105,204,190,192,190,190,189,187,187,186,69,23,38,161,216,210,205,186,156,120,114,93,111,102,74,58,15,77,208,193,194,193,193,191,190,190,189,188
10,106,108,110,112,112,114,116,116,118,118,118,119,120,122,125,125,123,124,124,124,124,126,125,124,123,124,125,125,109,111,113,116,116,117,119,120,120,121,121,122,124,125,126,123,125,126,127,127,127,127,127,127,125,125,125,126,113,115,118,119,121,123,123,124,124,125,125,127,127,126,147,103,105,132,128,130,130,130,130,129,128,127,127,126,117,120,123,123,125,126,126,128,128,128,130,131,130,130,158,103,86,139,131,132,133,133,133,132,131,130,130,129,121,123,126,127,129,130,130,132,131,131,134,134,133,134,162,110,80,139,134,136,137,136,134,133,134,133,132,132,125,127,130,132,133,133,134,135,138,136,136,136,136,137,165,121,81,140,139,138,138,138,137,137,137,136,134,133,129,130,134,137,136,135,137,142,134,142,144,143,141,141,168,131,84,141,144,142,141,141,140,139,139,138,137,136,132,133,137,139,138,139,141,151,100,80,132,126,140,146,170,141,83,137,148,146,145,146,144,143,141,141,141,140,135,137,140,141,143,144,146,131,71,35,61,67,96,154,168,145,80,133,152,148,149,148,147,146,145,144,144,142,137,140,142,144,146,146,148,149,86,41,57,55,64,156,180,153,80,135,156,151,152,152,151,149,148,147,146,144,139,143,146,147,148,149,149,156,137,80,116,75,50,144,157,137,77,139,158,154,154,155,154,153,152,150,149,148,142,146,149,151,151,150,155,166,137,68,156,123,66,91,84,97,72,140,162,158,158,158,157,155,155,153,152,151,145,148,151,152,155,151,152,177,145,41,122,149,93,47,50,71,65,142,164,160,160,160,159,158,157,156,154,153,147,150,154,154,163,173,159,175,155,64,60,164,123,68,53,76,58,141,165,161,163,163,162,161,159,158,158,157,150,153,155,156,161,182,156,163,159,100,29,138,156,96,59,70,56,145,169,164,165,164,163,163,162,161,160,159,151,155,157,159,158,150,132,118,191,148,42,73,167,124,74,56,55,140,172,164,166,166,166,166,165,165,161,160,154,157,159,161,162,153,129,98,158,115,33,54,139,138,104,58,50,144,175,168,168,168,168,167,166,165,164,163,157,159,160,161,164,168,127,117,105,42,51,97,124,137,107,60,46,148,176,170,170,171,171,170,167,165,165,166,158,160,162,164,165,177,157,121,99,72,134,174,142,117,96,61,51,156,176,172,171,171,171,170,169,168,167,167,160,162,164,166,167,185,160,139,139,126,183,184,148,105,87,62,69,174,172,173,174,172,172,170,170,170,169,168,162,164,164,166,168,180,171,158,151,140,188,172,139,104,80,58,88,183,173,174,174,174,173,172,171,171,171,170,162,165,166,169,169,177,173,152,150,145,182,159,129,100,77,54,94,185,175,176,176,176,174,173,173,172,172,171,164,166,168,171,170,172,174,164,164,141,165,152,120,94,72,52,100,187,175,178,178,177,176,176,176,173,172,171,165,168,168,170,172,169,168,169,163,135,161,151,114,88,71,55,110,187,177,179,179,179,177,176,176,175,173,173,166,170,170,170,173,172,168,165,150,124,148,145,113,90,75,57,136,186,178,179,179,177,178,178,177,176,176,175,166,169,170,170,172,171,177,157,131,125,145,126,123,108,72,69,172,184,181,182,181,179,180,179,179,178,177,176,167,169,170,172,173,169,183,170,152,144,140,131,138,117,59,104,188,182,184,183,183,183,182,181,180,180,179,177,164,166,169,171,171,161,181,176,162,150,132,135,130,103,54,151,188,182,183,183,183,181,183,183,181,180,179,178
20,119,123,126,129,131,133,135,136,138,139,140,140,140,140,143,144,142,144,144,144,144,145,145,144,144,144,143,142,123,126,130,133,135,137,139,140,142,144,144,144,142,157,124,132,150,146,146,147,147,147,148,147,149,148,146,145,126,130,133,136,138,141,143,144,146,146,147,148,148,180,105,100,149,149,149,150,150,150,152,151,151,150,149,147,129,133,137,139,142,145,146,147,149,150,151,151,155,181,109,89,119,120,160,153,154,153,154,154,153,153,151,150,132,136,140,143,145,147,149,151,152,153,154,155,158,178,105,110,140,88,162,156,156,156,157,157,157,156,154,154,136,139,143,145,148,150,152,153,155,155,157,157,162,180,110,123,152,82,154,162,159,159,160,160,160,158,157,157,138,142,145,148,152,153,155,157,158,159,160,158,166,184,115,123,164,85,149,167,162,163,164,163,162,162,161,159,140,144,147,151,154,156,158,160,160,162,164,160,173,182,115,123,176,93,140,172,164,165,166,166,165,165,164,162,143,146,149,152,155,159,161,163,165,165,165,163,181,185,119,129,177,100,129,175,166,169,169,168,168,168,166,165,145,148,152,155,158,161,164,165,167,169,166,139,171,198,117,134,187,108,121,180,168,172,172,171,171,170,169,167,146,150,153,157,160,163,166,166,162,175,189,142,126,149,98,121,191,116,120,182,171,174,174,173,173,172,171,170,149,154,156,159,163,166,167,173,162,144,187,167,103,81,67,105,163,116,117,183,173,176,175,175,174,174,174,172,151,155,159,161,165,169,169,180,188,141,143,167,129,123,96,93,130,112,113,186,176,178,178,178,177,177,176,174,152,156,160,164,167,171,173,170,167,144,112,157,148,161,144,87,88,101,103,185,177,179,179,178,179,178,177,177,155,159,162,165,169,172,174,169,137,141,97,167,148,153,149,95,64,73,100,187,178,180,181,180,181,180,179,179,156,161,164,167,170,173,174,176,169,143,116,120,107,77,150,123,76,53,93,188,181,183,184,184,183,181,180,179,156,161,165,168,171,175,176,185,162,113,80,51,53,40,128,157,102,59,74,186,185,185,185,185,184,184,182,181,158,162,166,170,172,177,179,185,164,129,96,78,77,82,148,185,131,82,67,177,188,185,186,187,185,185,185,184,160,163,166,171,173,177,178,187,179,135,103,94,108,154,197,176,135,101,71,173,191,186,187,189,188,187,186,186,160,164,168,172,175,179,178,188,183,144,113,115,127,184,197,165,120,91,75,183,191,187,188,189,188,188,187,186,160,166,170,172,176,180,178,188,191,162,135,123,133,192,180,150,109,75,81,190,190,189,191,191,190,189,188,188,162,166,171,174,179,180,179,187,196,170,138,133,138,193,174,136,101,73,84,193,191,192,193,192,191,192,190,188,162,167,172,175,178,180,181,182,190,167,151,156,140,190,169,123,91,69,95,195,191,193,193,193,192,192,192,189,162,166,170,174,178,179,181,180,175,168,152,157,133,179,153,115,85,63,107,201,190,192,193,193,193,193,192,191,163,167,172,175,177,179,181,181,178,168,152,154,120,158,133,100,86,61,127,201,190,191,192,193,193,193,192,192,164,168,171,175,177,180,181,181,183,172,144,133,100,136,115,95,87,68,169,197,191,192,194,194,194,193,192,192,164,169,172,175,177,180,182,179,185,174,147,118,107,144,105,104,73,108,198,192,193,193,195,194,194,193,194,192,164,169,173,175,177,179,183,178,187,183,159,136,131,143,96,98,63,162,196,192,193,195,196,195,194,194,194,192
1,181,181,182,182,183,182,182,183,182,180,180,180,179,177,176,174,173,172,171,171,170,169,166,165,164,104,42,30,181,182,184,183,185,184,184,183,183,182,181,181,180,178,177,177,171,151,168,173,172,170,169,167,164,83,38,32,183,184,185,186,186,187,186,185,185,185,183,182,181,180,167,155,167,120,143,173,173,171,170,168,164,71,40,34,185,186,187,188,188,188,187,186,186,186,184,183,182,184,158,103,134,114,111,144,149,173,171,169,165,88,41,26,187,187,189,189,189,189,188,188,188,187,184,181,175,186,154,92,109,110,105,136,107,165,173,171,170,91,36,27,188,189,190,191,192,191,189,188,189,188,187,174,132,141,142,86,120,123,105,138,93,153,175,172,171,101,36,34,189,190,192,193,193,193,192,191,190,189,191,164,107,105,142,88,122,131,92,128,89,145,176,173,173,134,87,92,190,192,193,194,193,193,194,193,192,191,193,158,100,103,135,86,102,115,92,142,96,137,178,175,173,150,147,148,192,194,195,195,195,195,195,194,193,193,199,162,106,96,116,79,99,102,92,147,102,124,179,177,175,151,144,119,193,195,196,196,196,196,196,196,195,195,202,153,103,100,117,82,116,110,90,135,97,121,181,178,176,161,143,105,195,196,198,198,198,198,198,197,197,196,200,151,104,110,128,86,106,108,88,131,97,124,182,180,178,170,153,137,196,197,199,200,199,199,200,199,198,200,203,157,118,93,106,70,84,86,101,140,106,125,183,180,179,175,160,150,197,199,200,200,200,200,200,199,198,202,195,151,108,77,74,63,76,64,101,133,102,120,184,181,180,178,171,151,198,200,201,202,202,201,201,200,200,204,190,153,130,119,108,98,84,86,110,114,84,131,186,182,180,179,177,167,200,201,201,202,202,202,202,202,201,212,199,167,153,132,163,132,125,121,136,112,74,157,187,185,182,180,179,178,201,202,202,204,205,204,204,204,203,220,192,161,133,106,144,148,151,139,134,113,90,171,187,185,183,181,180,178,201,203,204,206,206,206,206,205,208,220,183,140,113,89,81,119,142,131,140,129,96,146,189,186,184,181,180,178,203,204,205,207,207,207,208,206,212,224,189,152,122,87,72,72,102,117,159,154,109,112,187,186,185,183,181,179,205,206,206,207,208,208,208,207,214,220,189,163,120,96,85,77,139,137,148,169,125,87,166,188,186,185,183,180,206,207,208,209,209,210,209,208,215,216,189,165,112,101,84,120,179,168,147,151,129,80,128,190,186,185,183,181,207,208,210,210,210,210,210,209,214,214,193,165,108,104,95,164,189,172,150,127,111,84,110,190,188,186,183,181,208,209,210,211,212,211,212,211,214,213,193,154,114,98,118,187,189,168,138,121,92,73,135,191,188,187,185,182,209,210,211,212,212,213,213,211,214,209,189,151,127,92,137,190,180,157,128,111,87,74,172,192,189,187,185,185,209,210,211,213,212,212,211,210,210,203,184,157,135,95,151,187,167,145,124,101,73,105,192,192,190,188,186,187,207,209,210,210,210,210,210,209,205,198,180,163,142,103,152,175,153,136,117,87,67,157,195,191,189,187,186,181,208,209,211,212,212,213,213,209,203,199,180,168,138,100,142,158,137,122,100,66,108,191,194,192,190,190,184,139,209,211,212,212,214,200,183,203,194,187,178,163,116,94,122,135,117,99,71,83,177,196,194,191,179,159,119,70,209,211,211,213,216,153,83,120,157,162,155,129,89,90,105,114,95,73,58,152,199,197,179,130,87,60,48,48
4,121,126,132,135,138,142,145,147,150,152,154,157,159,161,163,164,165,166,167,170,170,171,172,173,173,173,173,174,122,127,133,136,139,142,145,148,150,152,154,157,159,163,163,163,166,168,168,169,172,172,173,174,174,174,174,175,123,128,133,137,141,144,146,149,150,153,155,159,159,162,165,168,163,156,162,169,168,171,175,175,176,175,175,175,124,130,134,138,142,145,148,150,152,154,153,161,169,158,151,179,162,122,105,143,137,132,168,177,176,177,177,178,125,130,135,138,142,146,150,149,155,170,152,144,159,154,118,149,153,111,73,106,123,95,126,179,177,178,178,179,124,130,135,138,143,147,150,150,174,191,173,143,113,113,102,126,149,102,71,124,123,88,88,175,180,180,181,180,126,132,136,139,144,148,149,153,189,168,173,134,98,74,82,130,158,106,109,141,109,69,73,169,180,180,182,181,128,132,137,140,144,148,148,164,181,146,165,112,79,73,77,111,143,140,153,139,112,65,84,175,181,181,182,183,128,133,138,142,146,149,148,177,177,149,157,111,73,89,106,115,141,153,141,147,134,105,105,182,183,183,184,184,126,133,138,143,146,149,152,188,169,150,142,115,62,107,154,143,141,135,124,162,152,137,119,166,184,184,186,187,127,134,139,143,147,150,161,185,150,125,112,89,52,73,125,123,118,99,109,168,168,158,130,120,175,186,187,187,127,134,140,144,148,148,177,185,151,125,105,79,56,51,64,77,83,97,131,157,169,161,141,110,130,186,188,188,128,135,140,145,149,152,194,182,155,135,111,88,69,59,64,79,120,168,168,159,153,138,133,119,96,166,190,189,129,136,140,145,148,160,204,184,164,139,110,90,75,74,111,157,183,188,170,154,138,117,114,112,92,156,192,190,131,136,141,145,147,175,210,187,163,134,113,104,86,114,169,188,191,187,166,146,126,105,96,96,101,176,191,190,131,137,143,146,149,189,212,186,158,137,128,115,112,158,179,185,187,178,158,136,116,97,88,87,142,190,190,190,132,136,142,147,149,195,210,182,163,154,143,128,146,170,180,182,177,166,145,124,107,92,82,107,180,190,192,193,132,138,143,148,150,198,211,189,175,165,149,141,163,174,181,177,162,150,131,113,100,86,84,158,192,190,193,195,133,138,143,147,149,192,210,196,182,166,148,139,158,172,172,165,149,137,120,104,92,80,121,189,192,192,195,195,134,139,144,148,149,182,208,194,181,165,144,132,149,161,160,152,136,125,110,94,83,94,172,194,193,192,194,195,135,140,145,149,152,172,201,183,167,155,139,137,148,158,156,144,126,114,99,85,84,153,192,194,195,195,195,195,135,140,146,150,153,168,193,169,159,151,145,148,143,148,148,136,119,105,91,79,132,189,194,194,195,196,196,196,135,140,145,151,152,167,189,167,166,159,163,159,139,136,140,127,108,97,80,108,181,192,194,195,195,197,196,197,136,141,146,151,156,176,189,176,171,166,161,151,133,122,130,117,100,89,83,162,192,193,196,196,197,197,197,197,137,142,146,151,179,192,175,164,171,169,154,139,125,113,117,108,96,77,115,189,193,194,195,196,197,197,197,198,137,141,145,164,196,192,187,141,141,162,145,130,119,104,104,100,91,71,132,194,193,194,196,196,197,197,198,199,138,143,151,189,192,190,192,181,126,121,128,125,110,92,98,93,86,71,139,195,193,195,196,198,198,198,199,199,138,141,171,197,186,191,192,189,178,111,98,113,102,88,93,88,82,70,144,194,194,195,196,198,199,199,200,200
10,88,94,99,97,79,66,73,40,34,61,63,70,75,89,101,107,112,119,123,129,135,139,140,144,145,148,150,152,96,102,107,100,86,68,84,34,42,62,66,69,96,130,101,109,113,121,126,131,135,139,141,145,147,149,150,152,105,112,117,103,93,69,92,28,49,63,67,66,136,154,88,109,116,124,129,133,136,140,144,146,148,149,151,152,115,122,126,107,99,72,97,23,55,64,69,69,124,163,91,98,123,127,132,135,139,143,148,150,151,151,152,153,124,132,133,109,103,79,97,22,60,66,69,72,103,165,107,85,127,133,137,141,144,149,153,155,157,157,157,157,133,142,139,114,105,88,91,24,65,67,70,75,89,165,135,83,126,140,144,146,152,157,160,162,162,163,163,163,141,150,142,120,104,99,82,29,68,68,73,76,87,156,152,92,116,146,149,153,159,164,167,168,169,169,169,170,147,156,145,126,103,111,72,36,68,70,74,79,91,143,164,104,100,153,155,160,164,170,172,174,175,175,175,176,152,162,144,131,100,122,59,44,70,70,74,80,95,142,182,121,93,158,161,165,171,175,178,182,182,182,182,182,157,166,146,136,99,132,48,51,70,72,74,80,98,144,181,128,92,161,168,172,176,180,183,186,188,188,188,188,162,169,146,140,98,136,37,78,77,72,75,83,102,143,169,128,87,159,172,176,182,186,189,192,193,194,194,194,166,171,147,141,100,130,88,126,77,80,92,84,107,150,150,132,84,153,178,181,186,191,194,197,197,197,198,199,169,171,147,139,104,126,120,120,74,63,65,70,100,159,137,156,82,141,183,184,190,196,198,201,201,201,201,202,172,172,150,136,111,143,98,111,97,71,60,51,56,88,111,131,78,125,188,188,194,199,202,203,204,204,205,206,174,172,153,131,120,115,65,72,115,103,81,50,36,64,88,99,85,103,189,192,197,201,203,206,206,206,207,208,176,170,159,128,129,102,65,107,132,118,82,53,43,51,68,82,81,86,188,195,200,204,207,208,208,209,210,210,179,169,162,123,142,77,94,170,157,115,86,66,56,53,61,68,74,84,189,198,201,206,209,210,211,212,212,213,180,169,163,116,149,64,103,177,155,102,105,87,65,58,57,62,67,87,193,200,204,208,211,213,214,215,215,215,182,169,164,113,157,54,71,191,184,90,79,104,86,70,55,55,65,95,198,201,206,211,213,214,215,216,216,217,182,170,168,113,160,43,73,191,192,85,113,108,106,84,59,55,59,110,201,201,207,211,215,215,217,218,218,218,182,171,170,115,166,37,69,178,140,104,169,130,109,98,67,59,56,117,204,202,207,212,215,217,218,220,221,221,182,174,167,119,163,32,66,163,177,149,177,152,118,103,81,66,59,127,203,203,207,211,215,216,217,220,221,220,183,178,162,126,155,28,66,130,180,165,169,156,141,110,85,71,60,131,203,203,207,211,215,216,218,219,221,220,185,180,156,136,142,23,70,86,172,187,167,167,141,116,91,74,61,127,203,204,207,211,215,218,219,219,221,223,184,181,148,144,140,56,88,78,161,187,165,180,137,114,89,77,66,139,205,207,211,215,219,221,223,224,226,229,176,182,142,148,165,109,103,101,134,183,164,173,133,107,90,83,68,116,148,153,157,161,167,170,173,177,180,178,182,181,137,156,161,99,97,100,102,165,159,150,140,121,108,87,64,91,110,109,109,111,111,112,112,112,110,75,184,178,133,163,158,102,100,103,102,128,137,131,141,145,134,89,58,60,113,113,116,118,118,115,115,118,93,60
7,199,201,203,204,207,208,209,210,210,211,211,212,212,213,214,212,211,212,212,211,212,211,210,208,207,206,204,203,201,203,205,207,209,209,211,213,213,212,213,214,214,214,214,215,214,213,214,213,214,214,212,211,209,207,207,205,203,206,207,208,210,211,213,214,215,214,215,215,215,214,214,215,216,215,215,214,214,215,214,213,213,210,209,207,204,206,208,210,212,214,213,214,217,216,217,217,217,217,217,218,217,218,218,217,216,217,216,215,214,212,211,210,206,207,209,211,213,214,216,217,218,217,217,219,219,220,220,221,221,220,219,219,219,218,218,217,215,214,213,212,207,209,212,213,214,217,218,218,219,220,220,221,221,222,221,221,222,221,221,221,221,220,219,217,216,215,214,214,208,211,214,216,217,218,219,220,221,221,222,222,223,223,222,221,222,223,223,222,223,221,220,220,219,218,217,215,210,213,216,217,219,220,220,222,223,223,223,223,223,225,225,224,225,225,225,224,223,223,222,221,220,220,219,216,213,214,216,218,220,221,222,224,225,224,226,227,225,225,226,227,227,226,227,226,225,224,223,223,221,221,220,219,213,215,217,220,222,223,223,223,228,228,219,223,226,227,226,227,227,229,229,228,226,226,222,222,225,222,222,220,214,217,219,220,221,223,227,233,239,235,202,186,207,219,218,217,220,223,218,222,216,222,210,245,229,217,224,221,215,218,219,223,229,235,237,238,239,238,224,177,179,199,207,207,205,197,200,203,202,207,196,204,190,221,226,223,215,223,232,238,239,237,234,230,224,222,210,176,167,178,194,204,205,206,201,192,197,198,186,193,189,215,226,221,236,240,239,239,233,229,223,212,209,222,223,185,161,157,161,172,183,189,179,185,191,193,189,202,196,202,199,209,246,239,235,228,220,217,213,214,218,226,223,188,166,172,171,165,155,141,173,181,178,178,175,177,185,185,194,224,243,235,227,216,209,206,207,207,215,221,202,174,158,163,178,184,174,156,185,243,233,229,229,229,227,230,233,231,238,233,226,215,207,207,207,202,203,216,213,179,148,147,161,165,168,157,170,242,235,236,235,234,234,233,231,231,235,232,228,220,213,211,212,212,209,221,223,187,166,173,172,165,162,137,220,243,236,237,235,235,234,233,233,232,229,225,223,222,219,215,212,210,210,215,214,189,175,183,180,174,159,183,247,237,237,236,236,236,236,235,234,233,217,215,218,220,221,217,211,207,207,200,183,172,155,152,159,166,146,228,239,239,239,237,237,237,235,234,234,238,145,157,184,213,219,209,199,189,178,168,164,162,112,107,129,147,171,244,239,240,239,238,236,236,237,242,238,182,76,77,90,121,163,179,168,175,184,208,229,241,161,127,154,176,231,243,241,241,240,240,239,244,228,209,178,129,75,71,67,65,66,98,216,236,243,245,242,245,233,210,232,244,244,242,242,242,240,244,243,202,149,133,119,112,69,65,64,66,47,118,255,236,239,239,240,242,243,246,243,241,242,242,241,240,244,226,156,120,128,126,116,107,64,62,58,59,43,109,254,237,241,241,242,242,242,241,242,243,243,242,240,246,247,162,112,93,107,111,105,103,61,61,61,64,34,103,250,231,238,239,241,241,243,243,244,245,246,246,248,232,157,137,121,89,84,102,98,95,69,69,65,55,30,75,165,158,161,165,166,169,173,175,176,179,180,178,188,164,100,126,119,81,76,87,91,88,79,73,59,38,34,69,138,132,132,133,134,135,135,136,138,136,136,140,155,139,90,119,113,78,72,81,83,85
14,183,184,184,184,184,185,185,185,185,184,184,184,184,185,184,182,182,181,180,179,178,177,176,175,175,173,171,170,186,186,186,187,187,187,187,188,187,186,187,188,188,187,186,185,185,183,182,182,180,180,179,178,177,176,173,173,188,188,189,190,189,188,190,190,188,188,189,189,189,188,190,191,188,187,186,187,184,183,181,181,180,179,177,175,190,192,190,191,193,193,192,192,192,191,191,193,192,191,182,173,182,185,182,179,180,185,189,181,183,181,181,179,193,194,193,194,194,194,194,194,194,193,195,195,193,187,172,153,160,163,158,163,157,128,162,195,184,183,181,180,195,195,196,196,196,197,196,196,196,195,194,175,171,182,187,183,178,163,124,134,153,126,98,146,192,187,183,182,197,197,198,198,199,199,197,197,198,197,195,194,190,195,195,187,179,168,149,120,130,142,116,110,147,177,186,183,199,199,199,199,200,200,199,199,199,197,197,184,167,159,148,133,112,114,148,153,152,159,115,121,142,116,183,190,200,200,201,201,201,201,201,200,201,201,195,166,162,165,139,111,95,95,92,119,136,120,90,77,105,78,104,189,201,202,202,201,202,203,202,203,200,184,186,196,193,178,157,140,140,166,114,159,177,150,174,132,80,75,70,117,205,205,204,204,204,203,204,205,199,187,192,186,173,145,127,120,119,110,119,200,204,204,200,211,164,69,87,91,206,206,205,205,206,205,206,207,195,188,181,152,122,75,59,62,60,94,194,202,199,199,199,196,111,97,111,107,206,206,206,207,207,207,206,204,195,185,139,93,64,56,60,65,49,149,216,199,203,199,210,145,96,128,120,95,207,208,209,207,209,208,209,204,197,180,124,75,65,67,70,77,62,166,212,203,203,206,188,106,118,125,112,85,209,209,210,209,210,210,211,204,196,175,126,72,70,70,68,70,62,191,210,205,202,214,138,96,118,119,89,128,212,211,211,211,211,211,213,203,196,162,98,70,83,69,66,67,52,169,225,202,211,188,103,100,106,107,83,185,212,212,212,212,212,213,211,200,196,158,110,95,81,67,68,64,52,69,160,212,209,114,107,114,104,76,143,209,214,214,214,214,212,214,208,199,199,171,124,97,75,69,74,72,74,74,68,126,126,89,112,114,90,111,209,200,214,215,215,214,213,215,209,195,199,166,124,102,75,71,80,87,89,94,99,96,85,100,111,100,90,192,208,201,215,216,215,214,214,216,208,191,194,167,141,104,71,73,82,94,95,100,106,116,112,96,116,86,152,217,203,204,215,215,216,215,214,218,210,186,191,174,141,103,81,70,83,99,101,100,106,119,119,105,92,94,205,209,207,205,215,215,216,217,217,219,209,189,197,176,149,120,90,70,85,102,103,105,112,125,124,111,76,150,219,207,208,207,217,216,217,219,218,220,208,191,200,174,145,116,97,73,81,105,104,109,119,126,121,93,108,218,211,211,209,208,219,219,220,220,219,221,207,193,196,166,139,119,101,81,75,106,104,109,121,121,114,75,157,223,210,212,210,208,218,219,219,219,218,222,206,191,193,161,135,123,104,88,73,97,104,108,117,114,97,84,206,215,212,212,211,210,218,218,219,220,218,222,202,185,189,158,136,125,103,88,74,89,105,103,105,106,67,153,226,212,213,212,211,210,218,218,219,220,218,223,203,181,179,157,135,115,98,88,76,84,99,99,99,76,110,217,212,213,212,211,210,209,219,219,220,220,219,223,201,178,173,155,130,112,99,89,79,83,92,95,81,96,210,218,213,213,213,212,211,208
1,105,87,75,69,69,63,24,67,90,103,116,122,129,135,138,140,144,148,150,152,155,157,159,161,162,164,164,164,107,85,78,69,75,56,29,72,92,104,128,134,103,132,140,144,147,150,151,154,157,159,160,163,165,166,165,166,108,84,83,69,82,48,35,76,94,111,135,150,90,111,132,125,150,152,154,157,158,161,164,166,167,167,168,168,108,85,86,68,88,41,42,78,115,143,106,152,106,105,138,90,136,155,157,158,160,163,166,168,168,169,169,169,108,86,89,69,92,34,48,80,125,150,100,150,119,106,150,94,108,159,158,160,163,166,168,169,170,171,171,171,105,87,90,70,93,28,54,83,123,157,106,143,134,106,155,115,92,157,160,162,166,168,170,171,172,172,172,173,103,90,90,74,92,26,60,85,120,162,106,145,157,117,142,130,87,146,162,165,167,168,171,172,174,173,174,174,101,94,89,79,86,24,67,107,115,169,122,141,164,121,141,153,99,125,166,166,168,170,173,173,174,175,175,175,99,97,87,84,80,22,96,147,107,172,136,126,158,123,137,163,113,105,167,166,168,171,174,175,176,177,176,177,98,98,84,91,71,25,105,143,101,165,138,114,158,129,122,159,124,99,165,168,170,172,175,176,177,177,178,178,98,100,81,96,62,30,104,146,97,158,143,105,163,140,113,164,132,96,162,170,171,174,176,177,177,179,180,180,99,104,78,102,52,34,103,156,100,155,154,100,152,149,108,168,139,94,154,171,172,174,176,177,178,180,181,181,100,106,78,108,44,40,100,168,112,137,161,104,119,147,94,148,143,93,144,173,173,175,177,178,179,180,181,181,104,108,78,110,36,45,92,161,114,114,163,107,107,142,106,147,144,93,125,175,173,175,177,178,179,181,182,181,106,107,79,110,30,52,85,155,130,101,151,132,132,135,145,153,121,90,103,175,174,175,177,179,180,180,181,180,109,105,83,106,25,57,82,157,139,98,145,150,128,119,138,149,108,77,86,167,175,176,178,179,181,181,181,181,110,103,87,103,23,60,82,152,136,139,143,147,147,136,166,172,120,73,66,151,176,176,178,180,181,182,183,182,114,102,92,98,21,64,82,155,154,156,129,133,140,142,164,161,127,91,62,128,179,177,179,181,182,182,183,183,118,100,101,95,22,65,84,166,164,139,119,114,124,132,139,145,146,118,76,97,177,178,180,181,182,182,183,183,123,98,108,87,22,66,82,157,158,126,107,118,125,140,163,161,162,144,105,81,167,178,179,179,180,180,181,182,125,95,115,76,24,65,76,139,155,123,106,121,128,147,175,176,168,158,124,87,162,175,176,176,178,179,180,179,125,91,122,65,25,64,76,112,157,132,112,112,133,148,174,184,164,149,117,92,164,173,175,176,178,178,182,204,125,89,126,58,35,67,75,89,147,139,121,111,131,147,172,180,160,138,105,83,161,172,173,175,177,175,184,213,125,90,123,100,83,96,102,103,133,149,133,116,121,142,167,173,155,132,100,81,148,155,157,159,159,161,153,156,124,90,124,107,58,64,66,66,80,144,138,128,119,133,160,164,143,125,96,76,87,89,91,89,113,155,155,148,122,93,127,104,61,66,68,70,69,101,141,135,128,125,143,152,132,116,89,76,86,88,85,91,151,158,152,143,119,95,126,101,62,66,68,69,70,70,119,139,134,122,120,133,120,102,83,79,84,85,82,126,165,157,149,141,114,91,127,97,59,64,66,67,69,68,88,140,129,113,108,111,106,95,76,80,83,82,87,157,162,153,144,139
20,155,155,156,157,157,158,158,158,159,159,158,158,157,157,156,155,155,153,152,151,149,147,145,144,143,141,140,139,158,158,159,160,160,160,160,160,161,161,161,160,160,160,157,152,156,156,154,153,151,150,148,146,145,143,141,140,162,162,163,163,163,164,164,164,164,164,164,164,164,167,158,133,149,157,157,156,155,153,151,150,148,146,144,143,165,166,167,167,167,167,168,168,168,168,168,168,167,171,161,118,121,142,157,159,158,156,155,153,151,149,147,146,169,170,171,171,171,172,172,171,171,172,172,172,172,174,162,108,96,115,145,162,161,159,158,157,154,152,150,149,173,173,174,175,175,176,176,175,175,175,176,176,175,178,159,103,108,119,130,163,165,163,162,160,158,156,154,153,176,177,177,178,179,179,179,179,179,179,180,179,179,183,161,106,125,131,119,162,169,167,165,164,162,159,158,156,180,181,181,182,182,183,183,183,183,183,183,183,183,189,163,111,133,141,118,159,172,171,169,168,165,163,161,159,184,184,184,185,185,186,186,186,186,187,187,186,186,193,156,109,142,153,120,157,176,174,173,171,169,166,164,163,187,187,187,188,188,189,189,188,189,190,189,186,187,194,151,113,154,156,118,154,178,177,176,174,173,170,167,166,190,190,190,191,192,192,192,192,192,192,191,182,175,179,150,120,158,157,116,151,181,180,178,177,175,173,171,170,193,193,194,194,194,195,195,195,194,194,195,193,184,166,141,118,146,158,123,151,182,182,181,179,177,175,174,172,195,196,196,197,198,198,198,197,197,197,195,186,183,171,152,126,130,148,123,148,184,185,183,182,180,178,176,174,197,198,199,199,200,200,200,200,199,199,197,172,143,159,167,128,101,113,107,140,185,187,186,184,183,180,178,176,200,200,201,200,201,201,201,201,201,202,200,171,110,133,165,135,95,84,86,129,185,189,188,186,185,182,180,178,201,202,202,202,202,202,202,203,203,202,200,171,112,115,149,148,117,95,79,116,184,192,190,188,187,185,182,180,203,203,203,203,203,203,204,204,204,201,195,174,136,108,108,136,135,114,83,104,181,194,192,190,188,186,184,181,204,204,205,205,205,205,206,206,204,198,187,174,157,125,97,113,132,123,91,95,174,196,194,193,190,188,186,183,206,206,207,207,207,207,208,207,201,189,161,146,155,140,104,97,121,140,114,93,157,196,196,194,192,190,188,185,208,208,208,208,208,209,209,208,199,187,155,113,117,131,97,82,110,149,139,99,125,189,198,196,194,192,190,188,209,209,210,210,210,211,211,209,200,186,157,114,90,108,93,84,126,167,158,109,101,177,200,198,195,194,192,190,211,211,211,212,212,212,212,211,201,190,173,132,94,103,110,116,165,183,157,106,100,178,201,200,197,195,193,191,212,213,214,214,214,214,214,213,201,193,183,142,108,114,150,174,191,174,141,93,112,188,202,201,199,196,193,192,214,214,215,216,216,215,215,214,202,190,181,150,118,120,175,201,189,157,124,88,134,197,202,201,200,197,194,193,215,215,215,216,216,216,216,216,203,183,173,152,123,121,172,191,172,139,108,90,157,203,203,202,200,198,196,195,214,214,215,215,215,216,216,217,206,182,171,153,130,125,167,183,159,123,92,98,178,205,203,202,200,199,196,192,215,215,216,216,216,217,217,217,211,188,171,157,138,126,158,171,142,104,80,125,196,205,203,201,199,192,173,145,216,216,217,216,217,217,218,219,215,194,175,158,138,121,140,149,120,85,78,156,205,206,204,201,189,156,112,75
19,157,157,157,159,161,162,163,163,163,164,164,163,163,162,162,162,161,160,158,157,157,156,156,156,154,153,154,152,156,159,160,161,162,163,164,165,164,164,165,164,164,164,163,163,162,162,161,159,159,158,157,157,156,156,156,155,157,160,162,162,163,165,165,165,166,166,166,165,165,165,164,164,164,162,162,162,161,161,159,159,158,157,156,156,158,160,162,164,164,165,167,167,168,169,168,167,166,165,165,166,165,163,163,162,162,163,162,160,158,158,157,156,160,161,162,164,165,167,169,169,170,170,170,170,170,168,167,167,166,165,164,164,164,163,162,160,159,158,158,157,161,163,163,164,167,169,169,171,171,170,170,170,171,171,169,168,167,166,165,165,164,163,162,161,159,160,159,159,162,163,164,167,168,170,171,173,172,172,172,171,170,170,170,172,171,169,167,166,166,165,163,163,162,161,160,160,162,165,168,170,171,172,173,173,173,172,172,173,171,170,165,158,166,169,168,169,169,166,165,164,161,160,161,160,164,165,168,170,172,173,174,174,174,174,173,173,171,176,158,119,128,171,158,159,162,161,156,161,160,103,155,163,166,167,169,171,172,174,174,173,174,171,166,170,170,177,169,163,173,176,163,162,175,167,159,143,107,94,160,164,167,169,171,172,172,175,174,177,180,154,145,153,161,164,155,145,136,144,133,144,159,138,112,103,119,157,167,165,166,170,171,172,173,175,173,174,155,148,159,160,152,153,148,140,103,92,93,98,133,133,148,162,171,169,165,166,170,171,172,173,176,169,179,194,177,178,178,170,160,146,110,87,93,73,69,144,178,174,174,171,169,167,166,167,171,172,173,174,179,169,204,216,190,173,164,158,153,136,100,70,85,75,78,165,175,172,171,169,169,169,169,169,169,171,174,175,179,169,201,205,172,144,116,107,109,118,105,79,85,77,83,169,174,174,172,172,170,170,170,169,170,172,175,176,179,169,185,193,160,110,98,64,59,135,112,85,88,77,96,176,175,175,174,173,173,171,171,170,171,173,175,177,181,167,178,193,157,115,76,48,108,133,106,88,89,75,117,184,176,176,176,175,175,173,172,170,172,173,176,178,182,165,175,198,163,130,100,66,72,71,69,76,77,84,95,181,178,177,176,176,175,174,172,170,174,175,177,178,183,166,173,198,168,136,106,92,62,39,36,46,65,77,74,167,182,178,177,176,175,174,172,171,174,176,179,179,185,165,165,195,165,137,109,95,93,72,60,67,77,84,77,155,185,178,178,176,175,175,174,174,174,176,179,180,183,168,162,192,163,135,110,97,96,82,72,77,84,90,83,159,185,179,179,178,177,176,176,175,174,176,179,181,185,172,159,190,163,132,111,98,96,83,73,79,86,90,91,171,184,180,179,178,177,178,178,176,175,177,179,182,186,176,164,183,156,128,108,96,94,89,81,84,92,92,111,185,182,181,181,180,179,178,177,176,178,179,180,181,185,177,174,186,156,126,110,98,93,93,91,93,101,90,146,189,181,183,182,180,180,179,178,178,178,179,181,184,187,173,177,190,162,134,115,102,93,98,98,100,96,119,183,184,184,184,184,181,180,180,179,178,176,178,180,182,189,168,179,185,162,145,120,100,94,102,101,98,137,181,186,186,184,183,183,181,181,181,180,178,176,179,178,179,182,169,183,176,151,137,118,100,98,100,91,122,186,186,183,184,183,182,181,181,180,179,178,177,175,179,180,181,179,181,191,180,158,135,122,104,95,95,86,138,185,185,184,184,183,182,181,181,180,178,177,177
2,173,173,174,174,174,175,175,175,174,174,175,174,173,174,173,172,171,170,169,167,168,167,165,164,162,161,160,159,173,174,175,176,176,176,177,177,178,177,176,175,175,177,177,175,175,176,175,171,168,168,166,164,163,161,160,159,174,176,177,178,178,179,179,178,178,178,178,178,175,164,164,166,161,156,151,157,173,168,166,165,165,163,162,161,177,178,178,179,180,180,180,180,180,179,180,176,159,148,150,151,148,129,112,102,140,173,172,167,166,166,164,163,178,179,179,180,181,180,181,181,181,181,180,166,155,154,146,141,151,123,103,121,128,130,150,170,168,166,165,164,180,180,181,181,182,183,183,182,183,184,181,174,164,149,132,119,109,81,76,98,109,88,80,157,173,167,166,164,180,181,183,183,183,184,185,185,184,178,170,167,153,118,91,81,91,105,148,143,114,91,116,170,170,169,168,165,181,182,184,185,185,186,186,187,186,175,163,150,119,79,63,71,171,187,183,184,179,173,178,173,170,170,168,166,182,182,184,185,185,188,187,188,186,175,154,112,79,70,63,106,191,179,180,179,177,177,175,174,172,172,170,168,183,185,186,186,187,188,188,189,185,176,147,86,64,63,66,160,188,181,181,180,179,177,176,177,175,172,170,168,185,186,187,187,188,188,190,188,185,175,142,85,65,59,94,192,183,185,183,181,180,179,179,169,163,173,171,169,185,186,188,189,190,190,191,186,182,171,127,74,75,69,102,192,184,185,184,181,180,182,146,114,104,145,177,169,186,187,187,189,191,191,192,186,183,166,117,83,83,69,112,195,185,187,185,182,185,150,115,115,98,131,180,170,187,188,188,190,191,193,192,184,183,165,123,97,82,63,134,199,184,187,185,188,158,116,122,112,97,163,176,172,187,189,191,192,192,193,190,183,183,163,122,99,80,67,101,196,191,185,192,168,106,106,114,93,129,183,173,173,188,191,192,192,193,194,190,184,179,157,127,101,77,76,73,108,165,197,171,122,99,99,98,91,176,178,175,174,189,190,191,192,192,194,190,183,179,157,125,95,77,76,82,80,92,137,107,102,113,96,79,150,185,177,177,174,189,191,192,193,193,194,187,183,188,157,121,101,78,77,81,88,93,87,88,100,98,89,157,188,179,180,178,175,189,191,193,194,194,196,183,189,188,151,118,100,79,77,84,86,94,98,90,95,88,163,190,181,181,180,178,175,190,191,192,195,196,195,182,193,180,144,115,102,81,77,85,87,93,98,91,72,152,194,181,182,181,180,178,175,191,192,193,195,198,193,183,191,172,138,117,104,80,77,88,92,94,95,78,131,193,184,184,182,181,180,179,177,191,193,194,195,197,191,184,186,161,136,121,101,81,78,92,94,97,79,99,197,187,186,185,184,183,180,180,179,193,193,195,197,198,190,181,174,153,132,115,97,79,78,92,90,87,69,166,195,187,188,187,185,183,182,180,178,192,193,195,196,197,189,178,168,150,128,113,96,78,79,90,88,65,138,201,189,189,189,187,185,184,182,179,179,192,194,195,196,196,188,171,162,142,122,107,93,79,80,79,65,128,201,191,192,190,190,187,185,185,183,180,179,192,194,195,196,195,187,167,159,140,120,103,89,78,68,77,147,202,193,193,191,191,190,188,186,183,182,181,180,192,194,196,195,194,183,165,154,141,119,98,82,63,111,191,204,195,195,194,192,191,189,188,187,184,183,182,180,193,194,196,194,186,164,153,152,137,111,87,72,78,193,203,195,196,195,195,193,192,191,190,187,185,184,182,179
24,104,110,117,121,125,129,133,136,139,142,146,149,151,152,154,156,156,157,157,157,158,159,159,159,160,159,159,158,106,112,118,123,127,131,134,138,142,145,148,150,153,155,157,157,157,158,159,159,161,161,162,163,162,162,161,161,108,115,120,128,130,133,136,139,144,147,150,152,155,157,158,159,160,162,163,162,164,163,165,165,164,163,164,164,109,117,124,114,132,135,139,142,145,149,152,155,157,159,161,162,163,164,165,165,166,165,166,166,165,165,167,166,110,121,130,68,106,142,139,144,148,151,153,156,158,161,164,164,164,165,165,167,167,166,167,167,167,168,167,167,112,121,121,62,60,146,141,147,150,152,156,157,159,162,165,166,165,167,168,170,170,167,169,170,170,170,171,170,114,122,130,82,37,130,146,146,152,155,156,161,165,167,167,171,171,167,171,171,171,171,171,172,172,172,172,171,115,122,133,100,34,101,154,149,152,156,162,159,145,160,173,147,158,175,170,172,174,172,171,172,173,173,171,174,118,125,134,118,59,59,153,147,111,97,148,157,112,74,123,131,85,146,179,172,173,173,173,173,174,165,144,104,118,126,131,140,90,36,115,142,118,103,107,167,134,71,99,147,82,71,183,174,174,175,175,175,166,145,97,74,120,126,131,141,110,66,71,129,161,139,100,154,148,91,120,148,81,50,167,180,177,177,175,169,152,105,76,167,120,127,133,137,136,101,70,60,159,152,97,131,155,91,115,150,83,33,144,186,177,179,171,165,133,63,132,189,122,129,134,138,146,110,81,82,113,165,115,107,161,98,99,156,102,28,130,190,179,167,168,160,96,59,178,181,123,130,136,141,147,129,140,123,92,137,120,65,139,93,72,154,120,32,89,191,153,149,165,128,55,136,188,180,124,131,137,142,143,155,154,94,61,85,110,40,103,92,60,190,154,26,27,100,122,147,134,66,100,193,180,184,123,130,137,142,145,153,141,102,77,75,97,68,90,104,58,97,78,31,78,112,124,120,83,64,178,185,184,185,124,131,136,140,145,148,167,146,99,82,78,93,64,130,88,65,130,141,148,132,97,84,45,128,193,180,184,184,125,132,137,140,145,149,167,158,128,106,82,70,76,120,144,178,175,159,143,120,82,57,68,181,182,182,184,183,124,131,137,141,146,149,165,168,154,122,86,62,104,151,179,170,162,145,129,103,70,50,151,188,182,186,186,185,125,131,137,141,147,149,166,175,165,121,85,81,124,163,176,168,154,131,107,88,49,113,192,182,185,186,186,187,124,131,137,142,146,149,159,170,173,131,111,117,119,162,171,167,146,123,97,67,60,179,185,183,185,186,186,186,120,128,134,140,146,151,154,163,168,140,118,127,103,143,159,152,135,118,85,49,134,198,186,188,187,188,189,188,72,75,76,79,83,89,89,128,162,138,121,118,84,110,138,122,112,94,65,72,159,161,165,168,171,175,180,182,62,62,64,65,64,66,61,78,165,145,112,100,72,102,132,111,88,71,56,67,72,73,77,79,80,85,85,84,66,68,72,72,73,73,76,70,151,135,99,88,83,105,128,101,74,53,54,76,76,76,76,78,72,70,79,94,66,66,68,69,68,70,72,69,155,130,111,106,105,107,115,90,59,45,62,78,78,78,79,83,102,144,154,139,67,68,71,70,70,72,70,75,170,148,133,128,112,97,106,77,53,43,69,79,78,80,73,101,173,164,181,152,69,69,70,71,71,72,70,80,163,148,143,132,98,87,97,66,53,40,69,79,78,78,78,159,195,156,142,180
8,175,177,179,180,181,183,185,186,186,185,186,186,187,186,184,184,183,182,181,180,179,178,178,177,175,175,174,172,177,178,181,176,168,181,186,187,186,186,186,187,187,186,186,185,184,183,182,181,180,180,179,178,177,176,175,174,178,180,185,172,143,170,188,188,188,188,188,188,188,188,187,186,185,185,184,183,182,182,181,180,179,178,176,176,179,182,189,177,132,155,188,190,190,190,189,189,189,189,188,187,186,186,186,185,184,183,182,181,180,179,178,177,180,183,190,184,132,145,188,192,193,191,191,190,191,190,190,188,187,187,187,186,185,184,183,182,182,180,179,179,182,185,189,185,137,138,187,194,194,192,192,192,192,191,191,190,190,189,188,187,186,185,185,185,183,182,181,180,184,186,189,192,154,134,182,196,194,185,180,189,189,175,176,189,191,191,190,189,188,187,187,186,186,184,183,181,185,187,190,196,166,129,171,198,205,188,161,170,189,161,148,168,173,180,190,190,190,189,188,188,187,185,184,182,187,189,191,197,177,138,156,197,217,209,168,144,179,170,157,142,136,144,176,191,191,191,190,190,189,186,184,183,189,191,192,199,194,156,151,188,212,217,183,133,153,169,169,161,151,144,156,176,189,192,191,191,190,187,186,185,191,192,193,198,199,166,157,181,194,207,187,132,129,152,151,175,184,181,158,140,178,192,192,192,191,189,186,185,191,193,195,198,205,188,171,183,185,189,185,134,112,128,117,155,182,190,163,125,169,193,192,192,192,191,189,187,192,194,197,200,212,201,166,164,171,168,183,152,111,110,101,134,178,194,166,125,167,194,193,193,193,193,191,189,194,196,198,200,211,194,155,144,146,144,169,169,121,99,94,137,190,204,170,125,168,196,195,195,195,194,193,190,195,197,199,201,213,205,170,142,131,128,143,154,129,106,102,151,197,204,167,123,167,197,197,196,196,195,194,191,195,198,200,202,217,214,183,150,128,123,132,162,159,138,147,177,195,191,152,114,160,198,198,197,197,196,194,192,195,198,200,204,220,216,190,161,133,118,137,177,189,188,192,189,177,162,129,105,156,198,199,198,197,197,195,193,195,198,201,206,223,217,196,173,147,123,137,181,210,216,207,185,156,132,109,109,172,200,200,199,198,197,195,193,197,199,202,207,224,219,200,180,159,134,140,189,220,219,202,174,139,110,96,135,192,202,201,200,199,197,195,194,198,200,203,207,222,222,206,188,170,146,151,199,219,207,182,155,121,95,107,173,202,203,202,201,200,199,197,196,199,201,205,207,219,224,211,194,178,154,157,200,208,189,162,134,106,92,144,198,204,204,203,201,201,200,198,197,199,201,204,207,217,225,214,196,176,153,158,191,193,174,149,120,95,112,181,204,205,204,203,201,201,200,199,197,198,200,203,206,217,225,212,191,166,145,157,178,170,158,139,109,96,152,200,204,204,204,202,201,200,199,198,197,199,202,204,205,219,223,206,184,160,148,159,166,152,141,126,99,123,188,205,205,205,204,202,201,201,199,198,197,200,202,204,206,224,222,205,186,166,159,161,155,141,128,110,111,170,204,206,206,205,205,203,202,201,199,195,187,200,201,202,211,226,217,203,187,170,165,157,140,129,112,104,151,199,207,206,206,205,205,203,201,195,182,152,121,200,202,200,215,220,202,189,176,166,163,148,125,115,99,125,188,207,208,206,205,204,201,192,171,140,105,72,54,201,201,199,218,216,190,171,161,157,160,142,114,107,96,153,203,209,208,206,198,185,168,138,99,64,44,37,36
2,123,125,130,134,137,139,140,144,146,147,149,151,153,154,155,158,152,158,161,163,162,163,166,166,166,166,167,167,123,127,131,135,137,139,142,144,146,148,150,152,154,155,158,151,114,134,153,156,131,146,168,166,168,168,168,168,124,126,132,136,138,140,143,145,147,149,150,152,153,158,154,125,88,97,136,136,100,115,151,165,167,168,168,168,124,128,133,136,139,141,144,146,149,151,151,156,162,154,123,92,74,85,108,112,103,105,99,152,168,168,168,168,126,129,133,137,140,142,145,148,151,152,156,171,166,129,85,73,74,84,86,101,107,104,79,123,170,170,169,169,127,130,134,138,141,144,146,149,152,153,168,171,141,97,63,60,71,86,86,99,103,99,97,149,172,171,171,171,129,131,136,139,142,145,147,150,151,161,176,141,98,68,56,50,71,96,106,101,118,132,154,172,173,173,173,173,129,132,136,140,143,146,148,149,152,174,161,108,72,64,63,64,85,95,105,143,169,171,174,173,174,174,174,174,129,132,136,140,144,147,149,149,168,171,134,92,64,64,66,76,79,111,152,171,172,172,173,174,175,175,174,175,129,133,137,141,144,148,149,157,177,150,106,67,59,60,71,82,103,166,172,172,173,173,174,176,176,176,176,175,130,134,138,142,147,149,152,178,170,129,90,68,68,62,74,82,136,172,172,173,173,174,176,176,176,177,177,177,132,136,139,143,148,148,172,192,165,122,90,76,74,69,72,104,165,172,172,173,174,175,177,177,177,178,179,179,133,136,141,144,147,150,193,184,149,112,83,74,72,75,83,150,172,172,174,175,175,176,178,180,179,180,181,180,133,137,141,145,148,165,201,177,138,102,78,71,69,75,107,170,173,174,174,175,176,177,179,179,179,181,181,181,134,138,141,145,148,187,196,165,129,93,74,71,72,76,137,173,173,175,175,175,177,180,180,181,180,178,179,181,134,139,143,145,160,202,188,155,122,89,72,72,71,71,148,174,174,175,175,177,179,180,178,168,153,142,155,182,134,139,144,146,185,202,178,145,113,83,70,73,72,71,114,171,175,175,176,179,181,173,156,146,137,118,129,181,135,140,143,156,202,191,165,138,108,81,69,71,74,82,87,128,167,175,177,175,161,152,150,137,123,138,172,183,135,140,141,180,201,182,158,130,102,78,67,71,79,90,98,96,111,141,150,146,139,143,145,116,146,181,183,183,135,138,149,199,194,178,150,121,99,78,65,75,88,102,112,110,104,123,136,148,150,143,124,120,178,183,183,184,135,138,173,201,185,168,142,122,101,79,66,88,107,120,127,122,117,131,141,142,136,128,132,165,185,184,183,184,135,145,195,192,181,165,142,124,102,80,73,103,121,127,133,129,119,127,130,124,141,165,179,183,184,185,184,184,134,169,201,188,179,163,139,122,101,81,80,113,124,126,132,130,107,107,133,164,181,184,184,183,184,185,185,185,143,196,195,183,175,157,132,116,99,82,85,117,123,120,129,116,117,152,176,181,182,183,184,184,185,185,185,185,173,200,186,178,171,145,118,105,91,80,94,112,122,116,119,136,171,181,181,181,182,182,182,184,186,185,185,185,196,189,177,167,159,134,112,98,86,85,96,104,118,114,146,174,178,180,181,182,182,183,183,184,186,186,185,185,188,181,170,158,156,121,102,96,89,91,86,101,134,158,175,177,178,180,181,182,183,183,183,184,185,186,185,185,183,177,164,152,156,114,93,97,94,88,107,150,168,175,177,178,177,179,181,182,183,183,184,185,187,186,185,185
13,176,177,180,182,183,185,186,188,189,191,191,190,191,191,191,191,191,191,191,190,189,189,189,188,187,187,186,186,177,178,181,183,184,186,187,190,190,190,192,192,192,192,192,192,192,191,192,192,190,190,191,190,187,187,188,188,178,180,183,184,186,187,189,191,192,191,193,193,193,193,194,194,192,192,193,193,191,191,191,191,190,189,190,189,179,182,185,186,187,189,191,193,193,193,194,195,196,195,197,196,195,193,192,193,196,194,191,191,192,192,191,190,180,182,185,187,189,190,192,193,194,195,196,196,197,198,193,195,193,196,206,179,145,182,197,195,195,192,192,192,181,183,186,188,190,191,193,193,195,196,197,197,195,186,207,208,160,163,225,182,116,124,194,170,184,196,193,193,183,185,188,191,190,192,194,195,197,198,195,204,201,151,171,222,167,139,217,180,123,83,166,142,113,196,195,194,184,186,188,190,191,192,194,196,198,197,198,231,212,172,121,208,178,134,213,170,116,89,170,154,88,170,202,194,185,187,189,191,193,195,196,198,201,196,215,232,222,184,120,189,186,116,197,179,100,126,199,157,79,149,207,192,185,188,191,192,194,197,198,199,199,200,228,195,216,186,112,162,188,108,200,199,113,107,141,106,70,151,207,194,186,189,192,193,195,196,198,199,195,213,229,200,213,169,104,160,177,103,124,159,100,85,132,126,81,159,207,196,187,190,192,193,195,198,199,196,208,233,211,184,204,149,105,184,159,118,47,49,52,132,188,187,113,168,206,197,189,191,192,196,198,198,201,195,219,236,201,163,182,151,109,189,165,116,45,102,134,172,186,185,129,168,207,198,191,192,193,197,199,199,202,198,227,231,203,169,148,157,94,199,212,114,119,217,204,177,151,141,115,138,210,198,191,193,194,198,200,201,204,202,237,228,209,194,164,129,92,167,181,156,216,212,187,168,143,118,104,108,204,202,192,194,196,198,201,203,202,205,243,228,211,195,183,147,141,143,189,220,219,200,179,158,133,113,99,110,207,202,194,196,198,199,203,203,202,208,243,228,210,200,187,161,147,164,225,226,212,188,164,148,123,111,88,156,212,202,194,197,199,201,204,205,205,206,240,231,213,203,190,167,153,183,224,225,208,181,155,136,116,100,97,201,207,204,195,197,200,203,204,205,205,207,239,232,216,204,190,171,168,200,213,209,193,173,151,127,111,81,128,218,204,207,195,199,201,203,205,206,206,206,239,231,214,203,185,171,186,203,187,187,175,159,141,120,91,95,191,210,206,206,197,199,203,205,205,207,209,205,239,229,220,203,183,179,197,195,175,173,156,140,126,93,109,195,212,207,208,207,198,200,203,205,206,208,209,209,245,232,228,205,191,191,203,187,170,157,140,131,98,108,203,213,209,210,210,210,198,200,203,206,208,209,203,225,250,236,232,204,198,202,196,174,158,136,130,105,102,199,216,211,210,210,210,210,199,200,203,205,209,210,204,238,238,235,229,202,200,197,185,160,138,125,111,94,182,215,212,213,212,212,211,211,199,202,204,206,209,208,209,238,221,218,213,196,192,194,170,143,129,120,90,163,220,213,214,214,212,212,212,211,200,202,205,208,210,204,213,236,213,201,197,183,190,190,151,138,129,98,118,212,216,215,213,214,213,212,211,211,200,203,206,208,212,198,224,235,204,197,193,180,183,168,140,134,114,90,167,220,217,217,214,214,214,213,212,211,201,204,206,209,210,199,240,230,192,189,194,179,169,153,134,125,93,107,201,218,217,217,216,215,215,213,213,212
12,194,200,204,208,211,214,216,219,219,220,220,220,221,220,220,219,220,220,220,218,217,216,214,213,213,212,209,207,197,201,206,210,213,215,218,221,222,221,222,223,223,222,222,226,224,220,221,218,219,219,218,217,216,213,212,211,198,202,206,211,213,216,220,222,223,225,223,222,224,229,222,203,216,227,223,228,223,222,222,221,220,218,215,214,199,203,207,212,216,219,221,222,224,225,232,215,177,207,243,197,150,205,218,191,221,226,224,223,221,220,218,217,200,204,208,212,218,220,222,224,227,223,255,255,217,163,194,255,196,130,167,168,151,227,226,225,223,222,221,220,203,207,210,214,219,223,226,228,225,241,255,255,248,187,112,213,222,132,93,176,129,167,237,225,225,224,222,221,205,210,214,218,221,224,228,230,222,255,224,223,252,174,104,181,205,133,82,137,140,102,230,228,226,226,224,223,207,211,216,220,224,229,228,227,233,198,157,232,228,154,93,192,189,120,92,143,126,102,232,229,228,227,226,225,210,213,219,221,227,227,231,255,247,160,104,166,207,174,84,175,223,142,93,170,129,121,241,229,231,229,227,225,212,216,221,225,226,236,255,255,248,182,109,103,214,178,67,180,244,138,107,223,133,160,245,229,231,230,229,228,214,219,225,227,232,255,232,216,255,196,111,55,168,159,39,110,229,119,94,203,141,214,239,233,232,231,229,228,218,221,229,228,255,255,226,188,235,183,112,56,71,83,59,105,136,141,150,164,103,206,246,234,234,234,231,229,220,225,229,234,255,228,193,141,203,183,116,61,66,70,170,246,197,193,169,150,121,138,249,234,236,235,233,230,223,228,232,231,255,232,198,130,165,185,111,67,76,136,216,234,223,191,150,117,136,108,226,243,237,236,234,231,227,230,236,230,255,239,206,155,136,179,146,80,108,200,232,225,218,192,147,119,111,105,234,242,237,237,236,233,229,234,237,241,255,245,217,183,128,152,172,89,191,242,238,227,224,171,138,120,75,151,255,241,239,237,234,233,232,238,237,252,255,253,226,190,154,131,134,159,243,242,247,242,204,149,133,107,78,229,248,242,244,246,249,241,235,239,240,255,255,255,237,197,181,163,145,206,227,237,249,231,176,141,131,77,135,255,255,255,234,204,158,109,237,242,243,253,255,255,243,208,199,181,158,206,207,246,246,207,161,134,119,78,226,238,185,134,85,61,54,46,240,244,248,244,255,255,246,218,213,193,164,216,210,241,233,181,148,124,99,100,138,74,51,41,44,45,49,60,244,246,253,245,255,255,241,222,215,196,175,205,233,213,201,159,133,114,88,50,39,38,46,42,47,39,37,54,247,250,255,252,247,255,242,226,210,195,183,190,219,197,169,145,121,106,57,26,39,50,35,34,44,48,29,38,247,251,255,252,241,255,243,225,207,193,174,176,203,185,154,133,113,87,58,20,25,52,43,23,33,49,41,27,249,253,255,252,246,255,233,212,200,191,167,177,194,174,133,120,99,58,66,35,11,33,52,32,21,38,47,32,254,255,255,253,247,255,214,192,197,184,166,182,181,155,118,102,55,23,53,55,11,13,41,46,21,22,41,41,255,255,255,253,244,255,216,204,213,198,180,183,168,138,114,79,47,13,33,57,27,0,23,43,38,14,28,43,255,255,255,235,229,255,227,229,235,200,177,176,157,130,106,52,46,20,18,42,43,0,6,31,46,28,18,38,255,255,255,190,184,255,245,254,239,188,178,179,152,125,94,51,35,32,7,27,48,12,0,20,43,39,20,23
4,140,146,151,153,156,160,163,165,167,168,171,173,175,177,179,180,180,180,182,185,185,185,187,187,187,188,188,189,141,146,152,155,157,159,163,165,167,169,170,173,176,179,178,178,182,184,183,183,187,186,188,188,189,188,189,189,143,148,152,155,159,162,164,166,167,170,172,175,173,179,182,182,179,172,182,187,184,190,189,189,190,190,189,189,144,149,153,156,160,163,165,167,169,170,168,179,189,172,165,201,182,136,119,168,153,146,190,191,190,191,192,192,144,150,153,157,160,164,167,166,169,187,166,157,181,179,127,169,174,132,90,122,148,107,143,199,190,192,192,193,143,149,153,157,161,165,168,163,188,212,190,162,128,136,121,143,172,122,85,148,149,110,102,197,194,194,195,194,145,151,155,157,161,165,166,167,209,181,192,154,121,94,100,154,187,117,128,167,129,90,88,191,195,193,195,195,147,151,155,158,162,166,162,180,199,154,187,129,100,98,95,128,162,158,177,156,134,80,102,197,194,195,196,196,147,152,156,159,164,167,161,194,194,163,177,131,94,112,127,130,159,175,157,163,157,124,121,205,195,197,198,198,145,152,157,161,163,167,165,206,186,169,162,144,79,133,185,163,162,156,141,183,169,157,133,187,200,196,200,200,146,153,158,161,164,165,176,203,163,142,131,113,72,93,153,144,144,114,122,191,184,177,147,130,198,200,200,200,146,152,158,161,166,161,192,203,165,143,126,101,81,74,85,99,100,111,150,173,186,179,163,123,145,207,199,201,147,153,158,162,168,165,212,197,169,155,134,113,94,85,86,94,136,193,188,175,171,155,154,144,108,184,206,201,148,155,158,163,164,173,221,196,181,159,129,113,100,93,131,180,205,203,183,171,157,134,135,137,106,170,210,201,149,155,159,164,161,190,227,200,180,151,132,128,105,132,192,205,204,202,181,163,146,125,117,119,114,197,204,203,150,155,161,165,162,204,228,199,172,153,148,135,127,180,194,197,201,193,174,154,137,119,113,102,161,210,201,203,150,155,159,166,161,210,226,193,177,172,163,143,164,187,193,196,192,182,163,144,129,115,103,121,203,202,205,205,151,156,160,167,162,213,225,200,189,182,166,158,182,189,197,192,177,167,150,134,122,111,98,179,209,202,206,207,152,156,161,166,162,206,225,208,197,182,165,155,175,188,187,181,166,155,140,125,118,97,138,212,203,204,207,207,152,157,162,166,162,196,223,205,196,182,161,147,166,177,175,168,154,145,131,117,106,106,195,208,205,204,207,207,153,158,163,167,166,185,218,196,181,171,155,154,166,175,174,163,144,135,122,110,96,175,210,205,207,208,207,208,153,158,163,168,168,183,209,180,174,167,160,167,160,166,167,155,140,127,116,93,151,210,205,206,207,209,208,208,153,158,162,169,167,181,206,178,182,174,181,178,156,154,160,146,129,122,99,123,206,203,207,207,208,209,208,209,155,159,163,168,169,190,206,192,185,182,178,169,151,140,151,138,122,114,97,186,207,205,208,208,209,209,209,209,155,160,164,164,195,210,185,180,191,185,170,157,144,133,139,130,120,95,134,211,203,207,207,208,209,209,209,209,155,160,160,178,214,202,206,148,155,187,162,149,140,125,126,123,118,87,152,213,203,207,208,208,209,209,210,211,156,161,163,207,205,202,206,203,133,136,151,145,132,111,121,116,112,88,158,214,204,207,209,210,210,210,211,211,158,155,189,213,196,204,204,203,204,125,115,137,123,110,117,111,109,86,163,213,205,208,208,210,211,211,212,212
11,77,83,89,95,99,103,107,111,114,115,117,118,120,124,123,123,123,123,123,123,123,122,120,124,87,62,105,146,80,84,90,96,101,105,108,112,115,117,119,118,137,109,122,122,123,123,122,122,122,120,118,124,94,79,106,150,84,89,95,101,104,108,111,115,118,120,122,118,158,88,104,128,123,124,123,123,122,120,120,117,107,148,141,145,87,92,100,106,110,114,118,121,123,125,126,123,172,96,80,135,125,126,125,124,123,123,121,115,134,118,142,146,92,97,104,110,115,120,123,127,129,131,132,130,174,91,70,138,130,130,130,129,128,127,125,125,127,96,152,146,96,101,111,117,120,125,129,133,136,137,138,138,173,83,77,145,135,137,136,135,133,132,130,126,129,147,140,146,99,105,116,123,128,131,135,139,142,144,143,149,180,79,85,152,141,142,141,141,139,137,134,131,132,117,104,147,101,109,120,128,133,137,142,145,148,150,146,170,184,56,102,158,147,147,147,145,144,142,140,137,136,127,127,145,105,114,127,133,137,142,148,152,153,156,150,178,164,56,122,163,153,153,153,151,150,148,145,143,141,137,142,152,108,117,130,137,142,146,151,156,158,157,173,176,85,47,132,166,157,157,156,156,155,153,150,148,146,141,144,163,111,121,134,141,147,152,156,159,160,162,161,166,91,47,141,169,162,162,162,162,160,158,155,153,150,145,146,164,115,125,137,144,149,155,160,165,186,182,77,75,114,62,147,172,166,167,166,165,164,162,159,158,154,151,154,163,118,129,140,148,153,157,163,150,173,168,89,51,106,76,129,179,168,169,170,169,167,165,163,160,160,146,133,167,119,131,143,152,154,161,189,133,63,100,127,66,83,76,107,184,171,174,173,172,172,170,169,165,175,88,58,172,122,134,147,150,165,190,177,151,106,59,110,84,57,83,77,181,176,178,177,173,167,155,139,137,133,50,31,64,124,138,147,165,191,151,105,134,150,79,62,74,48,99,70,164,187,178,170,162,167,147,123,121,99,51,38,28,126,140,148,188,176,112,72,63,137,86,45,66,38,116,112,116,171,169,176,174,164,136,108,86,66,42,34,34,128,141,151,184,154,95,66,31,106,95,48,79,30,77,122,64,129,175,178,150,109,76,39,20,30,26,29,32,130,142,150,175,135,82,59,38,74,104,57,94,54,84,112,100,144,157,128,79,48,27,17,19,20,19,21,31,131,144,151,174,155,103,73,54,53,82,77,103,84,152,126,95,117,99,54,17,26,32,16,15,17,18,27,0,131,144,152,180,160,110,86,63,60,73,117,153,158,154,110,83,80,22,16,20,11,28,28,9,9,15,16,0,131,144,152,181,166,128,99,68,75,85,158,189,175,133,91,70,32,16,3,26,12,10,28,21,5,4,5,7,130,144,152,176,166,138,102,77,86,94,165,173,143,109,81,36,0,25,10,6,23,11,13,23,15,3,5,5,135,149,160,170,161,146,109,93,92,96,147,162,126,90,70,33,0,5,26,4,14,21,8,9,19,5,3,4,103,112,117,130,161,150,116,108,94,96,130,149,119,85,46,24,3,0,23,19,4,15,16,4,9,12,0,3,77,77,72,90,161,146,123,115,94,83,118,121,96,59,3,13,18,0,8,23,13,9,12,7,1,11,0,0,83,84,81,97,165,150,129,113,94,76,96,88,63,21,0,4,27,0,0,21,16,12,8,5,0,2,4,0,82,84,84,88,162,152,122,105,90,79,84,75,19,4,2,0,26,4,0,9,20,9,8,6,2,0,0,0
6,156,159,160,162,164,165,166,167,168,168,168,167,166,166,166,166,166,165,165,165,164,162,162,162,160,160,159,156,157,159,162,164,165,167,167,168,169,170,170,169,169,168,168,167,168,167,166,165,165,164,164,164,162,161,160,159,158,161,164,165,166,167,169,170,170,171,171,171,171,171,170,169,169,168,167,167,166,165,166,165,165,164,162,161,159,162,164,166,168,169,171,172,172,172,172,172,172,172,171,171,170,170,169,168,167,166,166,164,165,165,165,164,161,164,166,167,169,171,172,173,173,173,174,173,172,168,162,159,160,162,157,157,151,149,169,151,152,167,166,165,162,165,168,170,171,173,174,175,174,175,174,172,169,160,148,146,155,162,156,156,148,145,168,140,133,167,167,166,165,166,168,171,172,174,175,175,177,179,184,182,178,167,154,145,147,150,146,142,142,130,129,123,155,169,169,167,165,167,170,172,173,174,174,178,186,186,183,170,158,141,130,113,108,114,123,127,131,139,152,164,170,171,170,168,165,167,169,171,181,186,175,174,174,168,157,149,141,129,124,115,105,146,162,169,172,174,174,174,172,172,172,170,165,168,171,171,198,186,168,163,160,167,173,169,158,149,147,143,111,139,176,176,177,176,176,176,174,173,173,172,165,168,171,174,189,165,156,161,165,172,177,175,168,158,150,133,104,109,177,179,179,178,177,177,175,174,173,172,166,169,172,186,193,164,156,158,163,170,173,172,162,148,141,124,88,90,168,179,179,178,178,177,175,175,174,173,168,171,173,190,174,165,164,162,163,166,173,174,160,141,141,132,86,82,146,180,179,178,178,178,177,177,175,173,169,172,173,188,178,181,173,172,173,179,181,172,159,150,144,123,91,84,132,181,180,179,179,178,178,177,176,175,169,172,174,185,198,196,173,169,170,168,166,162,155,144,127,102,90,88,124,182,181,180,180,179,179,178,176,175,171,173,174,184,205,199,176,165,154,140,137,144,142,140,135,94,85,93,140,182,182,181,180,180,179,179,178,176,171,173,174,187,198,194,181,163,150,154,167,167,153,145,146,107,81,112,176,182,182,181,181,181,180,180,178,176,171,174,175,188,192,196,188,166,160,169,175,160,148,139,129,105,92,135,182,183,182,182,182,181,180,180,179,178,172,175,175,187,194,190,184,169,163,168,166,155,140,126,109,95,98,157,184,184,183,182,183,183,181,181,180,178,172,175,174,187,194,189,180,170,161,160,146,133,115,101,94,95,114,176,185,185,184,184,183,183,181,181,179,178,172,175,173,182,190,191,177,162,150,138,117,99,78,72,85,123,169,185,186,185,186,186,184,183,181,181,180,179,172,174,172,179,185,178,160,147,135,117,96,81,70,82,110,173,187,186,185,186,186,185,184,184,182,180,179,179,171,174,171,173,180,163,150,144,135,107,92,88,76,94,149,185,186,186,185,185,183,182,183,183,182,180,179,177,172,174,168,166,174,154,151,148,125,101,94,95,89,133,182,187,186,187,186,185,184,183,182,182,181,180,178,177,172,173,166,162,169,147,155,148,119,100,93,101,124,178,187,187,187,187,186,185,184,183,182,182,181,180,179,178,172,174,163,165,164,150,157,144,118,99,94,106,164,187,187,187,188,186,185,185,184,184,183,182,182,180,179,178,171,174,156,170,167,148,152,134,108,95,98,111,176,186,186,187,187,186,185,184,185,184,184,183,182,180,179,178,170,172,150,176,163,143,138,117,100,94,101,124,184,185,185,184,185,184,183,183,183,182,183,182,181,180,180,178
23,68,71,74,83,93,103,110,113,116,121,127,131,134,137,139,141,144,146,148,148,147,148,148,149,150,149,148,148,68,71,75,85,95,104,112,115,117,123,129,133,136,138,139,142,147,148,148,150,150,150,150,151,151,150,149,149,68,72,76,86,96,106,113,117,118,124,129,134,137,140,142,144,147,149,151,151,152,153,153,152,152,152,151,151,69,71,76,87,97,107,114,117,119,125,131,136,139,142,145,146,148,151,152,153,153,153,153,153,153,153,153,152,71,73,75,87,99,108,115,119,122,128,132,138,140,142,145,147,150,152,152,153,154,153,154,153,153,154,154,151,70,73,78,89,99,109,115,119,123,128,134,138,141,144,147,149,151,153,153,154,157,156,155,155,154,154,154,153,69,72,78,90,100,111,117,119,123,130,135,139,142,146,149,151,153,153,156,156,154,155,153,156,158,155,153,154,70,73,79,90,101,111,118,122,124,131,137,141,145,147,150,152,153,156,156,153,180,189,165,157,153,155,156,154,70,73,80,92,101,112,119,122,125,132,138,143,146,148,152,154,156,156,160,198,212,174,170,147,91,150,160,157,70,73,79,92,103,114,120,123,127,134,140,144,147,151,153,156,155,165,219,191,154,92,120,128,131,161,159,159,71,73,81,93,105,115,122,124,128,135,141,146,148,151,153,158,153,199,237,117,71,134,163,163,167,162,160,160,70,72,81,94,106,116,122,125,129,136,142,147,151,153,157,158,160,220,221,154,166,156,150,166,163,163,162,161,70,73,81,94,106,116,123,126,131,138,143,148,154,152,155,157,182,230,223,226,214,124,115,177,163,165,164,163,70,74,82,95,106,118,125,126,132,139,144,151,150,165,186,195,216,168,191,180,168,107,84,151,164,167,166,165,71,74,83,96,108,120,126,130,134,139,147,147,168,201,195,202,219,177,205,207,176,104,71,122,146,174,166,167,71,74,84,97,109,120,128,131,136,143,146,159,202,183,174,180,180,161,182,197,160,93,62,87,102,179,169,169,72,74,83,97,110,121,129,131,136,144,143,208,226,200,189,191,178,165,165,130,113,93,58,90,72,123,176,170,72,74,84,97,110,121,130,131,137,144,149,223,226,202,165,166,181,177,166,113,90,101,48,86,90,81,155,176,71,73,84,99,110,123,130,132,137,144,152,219,221,186,139,109,121,141,145,99,97,98,41,83,92,99,167,174,71,73,85,99,111,124,130,131,137,144,155,225,225,156,103,82,52,151,143,89,106,76,61,95,90,132,181,174,70,73,87,100,111,124,130,133,141,144,158,233,211,151,107,67,75,152,120,93,81,46,79,102,104,174,178,178,70,72,86,100,112,125,131,133,142,143,167,235,201,148,111,77,68,79,80,61,53,62,79,92,137,187,178,179,68,70,85,100,111,123,129,131,140,140,175,233,194,146,111,74,42,49,54,66,85,86,85,90,167,182,179,179,67,69,84,98,112,124,131,132,142,141,186,229,188,148,111,84,62,74,88,94,101,93,82,130,186,181,181,180,66,69,83,98,111,125,132,133,142,142,185,219,181,144,114,90,73,78,99,103,103,88,101,184,183,182,182,182,64,68,81,97,112,123,132,133,142,142,186,209,170,145,120,96,85,81,101,106,105,81,142,192,182,183,183,181,60,64,78,95,111,123,130,133,141,143,195,199,174,161,134,107,92,82,99,104,95,107,183,186,184,183,182,182,63,67,79,94,107,120,127,130,139,145,209,205,188,175,147,113,96,87,97,98,98,166,188,181,183,181,182,182
0,130,131,132,132,133,133,133,134,133,134,133,133,133,133,133,133,133,132,131,131,132,131,130,129,129,129,129,128,132,133,133,134,134,134,134,134,134,133,133,135,134,134,135,134,133,133,134,133,132,133,132,129,129,131,131,130,134,135,136,136,137,137,137,136,135,136,136,135,135,135,136,138,135,134,135,136,134,129,123,133,131,131,131,131,136,138,138,137,137,138,138,138,137,137,138,138,137,137,123,109,128,132,114,104,131,134,81,130,133,132,132,132,137,138,137,137,138,139,139,139,138,138,130,115,131,148,127,94,74,121,112,92,77,118,91,93,141,132,132,132,137,138,138,138,140,139,139,139,140,152,134,99,105,150,127,113,72,116,118,110,72,64,124,79,107,135,135,134,137,139,139,140,140,139,142,122,116,157,137,119,106,147,128,119,70,120,121,106,80,39,108,109,79,85,137,134,138,139,140,141,139,145,155,135,97,130,152,122,98,153,134,115,60,126,119,89,85,25,68,123,104,55,116,139,140,140,141,142,140,153,154,146,126,95,155,127,87,149,138,110,58,102,108,73,73,16,77,133,117,67,102,143,140,142,142,142,146,147,145,152,132,78,135,134,82,126,138,98,57,59,85,65,57,18,108,136,119,69,95,145,140,141,142,140,147,135,105,128,110,66,103,122,76,88,110,76,61,33,55,71,48,38,118,132,114,67,87,146,140,141,143,142,144,148,114,118,91,51,79,99,67,56,83,66,49,23,84,118,100,96,112,121,109,62,84,146,141,143,145,144,147,157,132,122,92,62,67,84,68,41,66,80,77,113,137,126,118,109,94,99,102,66,76,147,143,145,146,144,152,153,129,110,96,75,47,91,91,31,71,134,146,148,136,124,113,102,89,80,88,72,71,145,144,145,146,143,158,165,148,132,111,84,63,87,86,91,141,155,149,140,132,120,109,97,81,73,76,65,83,146,145,145,147,144,159,167,154,136,118,113,112,109,126,151,155,149,144,134,127,116,103,88,74,69,72,58,120,146,146,146,148,145,163,172,156,137,124,120,119,130,143,147,152,148,137,133,121,107,98,80,69,73,60,100,147,143,146,147,149,147,164,176,161,147,137,129,130,140,147,150,150,140,134,129,112,101,89,75,72,62,76,147,145,144,146,146,149,146,163,176,167,154,141,133,132,142,151,149,143,132,125,121,106,92,80,74,69,57,127,149,144,144,147,147,149,147,158,175,172,161,143,131,127,131,137,133,134,121,109,109,92,82,79,71,57,110,150,145,146,146,148,149,150,150,152,169,168,157,144,131,125,129,132,134,132,118,103,100,84,77,71,65,111,149,145,147,148,146,149,150,151,151,149,159,158,145,135,121,124,129,125,133,127,115,106,96,81,66,67,125,152,147,147,147,148,147,149,150,151,151,151,155,145,143,138,130,140,133,113,128,125,109,97,88,71,54,125,154,147,148,147,147,148,148,150,151,152,152,152,155,152,157,151,143,141,134,107,119,125,104,90,80,50,91,157,147,150,150,149,149,149,148,150,151,151,151,151,156,166,164,155,135,133,130,102,117,114,99,86,70,51,132,155,149,151,151,149,150,150,149,150,151,152,152,152,150,173,164,153,128,130,127,106,111,103,96,85,59,61,149,152,151,151,150,150,151,150,150,151,151,152,152,152,147,168,158,146,124,131,133,104,97,101,92,83,56,72,158,150,153,152,151,151,151,150,149,151,151,152,152,151,149,166,150,139,123,131,130,95,102,100,89,80,55,74,157,151,152,152,152,151,152,151,150
10,63,66,70,73,81,97,107,115,118,122,127,132,137,140,149,140,143,151,150,151,151,151,151,150,150,149,148,146,64,66,70,73,83,99,109,117,120,124,129,134,138,142,178,124,114,156,150,151,153,153,151,150,150,150,148,146,64,67,71,75,85,101,110,118,121,125,131,138,139,150,177,131,96,153,154,153,155,154,153,153,152,151,149,148,66,69,72,76,87,101,112,119,122,127,134,139,143,150,178,149,91,146,159,156,157,156,155,153,153,153,152,150,66,70,73,76,88,103,115,121,124,129,136,141,147,148,178,170,101,138,163,158,158,157,157,157,156,154,153,152,67,70,75,77,90,106,116,123,125,131,138,143,148,149,188,179,110,127,167,158,159,160,159,159,158,157,155,153,68,71,76,78,92,107,118,124,127,133,140,146,151,150,187,177,118,117,169,161,162,163,162,161,160,159,157,156,69,72,76,78,93,108,120,126,128,136,142,147,153,151,190,185,119,101,170,164,164,165,164,162,161,161,159,158,69,72,76,79,94,111,122,127,131,136,143,150,154,152,193,193,131,87,165,166,166,166,165,164,163,163,161,160,69,72,76,80,97,110,123,132,134,144,173,120,138,159,185,174,132,77,153,172,167,168,168,166,165,165,163,163,70,74,77,82,94,128,159,121,91,130,159,79,100,168,177,156,119,68,137,177,169,170,169,168,167,167,165,165,70,74,77,84,94,144,157,87,64,76,113,80,46,133,169,135,127,73,129,180,170,171,171,169,168,169,167,166,70,74,77,84,99,121,122,88,77,68,102,88,51,52,101,106,135,92,109,183,171,172,172,172,170,169,169,167,71,75,77,84,102,117,128,131,124,114,115,94,77,50,52,70,103,98,81,173,175,173,174,172,172,172,171,169,72,75,78,84,102,118,132,137,148,153,104,110,94,86,63,55,77,83,63,156,182,176,175,174,174,173,172,170,72,75,78,86,102,119,133,136,163,148,78,94,134,117,99,71,61,70,55,146,186,178,178,177,176,175,173,171,71,74,78,87,105,120,135,141,155,161,128,69,101,143,122,104,77,59,49,125,189,178,179,178,177,176,174,172,72,76,76,85,107,118,152,156,123,171,139,83,85,184,138,122,101,58,42,84,188,180,181,180,179,178,176,175,73,76,77,86,107,117,165,183,120,126,130,88,136,206,154,130,111,68,44,69,185,184,182,182,181,180,179,177,73,75,77,87,107,120,153,184,140,88,137,121,141,206,151,123,112,79,47,68,187,185,184,184,182,181,180,179,73,75,77,88,109,125,136,159,151,97,138,165,144,190,161,127,106,83,54,66,187,186,186,186,184,182,181,180,72,74,77,89,109,125,136,150,151,99,137,209,124,162,165,140,103,78,59,64,186,188,187,186,186,184,182,181,72,74,76,89,109,126,139,141,163,132,156,141,77,131,165,130,99,74,59,72,190,188,188,186,186,185,183,181,73,76,76,89,110,127,141,142,156,186,160,91,98,151,150,121,92,71,56,87,196,188,190,188,187,186,184,183,70,74,75,90,110,127,138,143,145,174,184,162,140,157,132,108,85,74,56,105,199,186,189,189,187,186,185,184,69,71,74,89,109,126,138,140,147,164,179,165,127,130,118,96,87,82,59,116,199,187,189,188,186,186,185,183,68,69,73,89,110,125,139,142,152,68,146,170,115,133,136,132,116,97,57,132,199,189,190,188,187,186,186,184,67,69,71,86,108,125,136,150,99,0,135,187,160,154,140,151,130,96,49,135,202,189,191,189,187,187,186,184
20,175,178,181,182,185,187,187,188,190,189,190,190,188,188,187,186,185,185,183,184,181,179,178,175,175,173,173,172,176,179,183,183,186,189,189,191,192,192,191,193,191,190,190,188,187,185,184,169,181,181,179,178,177,176,176,175,177,180,183,186,187,190,190,193,193,194,195,193,192,190,192,191,187,186,199,121,132,197,181,180,180,179,177,177,179,181,184,187,188,191,193,194,195,195,196,193,193,194,193,192,189,191,200,112,113,168,179,183,181,180,179,178,180,182,185,188,189,192,194,194,197,197,195,194,195,195,194,193,190,200,186,107,79,110,128,192,181,180,179,179,181,185,187,190,191,193,195,196,198,199,198,197,197,196,195,197,190,210,181,94,104,137,108,191,182,183,180,180,183,186,188,191,192,195,197,198,201,201,200,199,198,197,197,197,194,213,174,93,151,143,106,191,185,184,183,181,184,187,190,193,194,196,199,200,202,203,202,201,200,200,198,196,197,211,159,97,178,148,111,191,187,187,186,184,185,188,192,194,196,198,200,201,203,204,204,204,204,202,204,203,202,205,141,112,190,138,121,196,188,188,187,184,186,190,193,195,198,199,200,203,204,204,204,205,206,198,155,168,221,204,131,139,196,123,125,201,189,189,188,186,189,191,193,196,198,201,203,204,205,207,205,204,201,205,152,99,184,197,117,162,205,118,134,203,192,193,190,188,188,192,195,198,199,202,206,206,207,208,205,212,209,203,197,151,120,115,84,161,189,108,150,204,193,193,192,191,189,193,198,201,202,203,205,206,209,210,208,223,221,210,225,204,141,81,53,126,152,101,165,204,196,194,193,193,192,196,199,203,204,206,208,210,211,208,217,203,154,193,193,198,145,91,74,96,107,90,179,202,196,194,194,193,193,197,200,202,206,206,208,211,212,208,226,193,120,173,168,191,174,115,80,76,86,86,191,202,197,196,196,193,194,197,201,202,206,208,211,212,211,211,230,206,158,129,99,165,196,135,88,72,74,93,199,202,199,197,197,196,196,198,201,203,205,209,212,213,212,214,216,166,134,110,62,109,214,154,108,81,68,106,208,200,200,199,198,197,196,199,201,204,205,209,212,215,212,224,213,164,151,126,92,175,217,164,137,95,68,123,213,201,203,202,198,196,196,199,203,205,207,209,213,215,213,229,206,180,150,120,178,241,198,159,148,103,74,132,216,201,202,202,199,197,197,200,203,205,208,211,214,214,217,237,219,174,135,159,247,210,173,145,136,104,82,152,215,202,204,202,200,198,198,201,203,206,210,213,216,216,223,252,211,155,148,202,249,198,165,128,116,104,90,180,212,205,205,203,201,199,198,202,205,208,211,212,216,215,228,247,178,178,152,221,237,195,163,130,98,97,102,201,210,207,205,205,203,200,195,198,204,206,210,211,214,212,229,230,202,197,149,234,222,182,150,127,101,91,126,213,207,207,205,204,202,200,195,198,202,205,209,212,214,214,221,230,233,180,175,235,197,162,135,113,102,89,160,215,207,205,204,204,201,199,196,199,204,206,210,211,214,213,217,230,223,180,163,206,182,144,120,103,97,98,193,214,209,206,205,204,202,201,195,200,205,207,210,212,214,214,218,220,193,172,157,178,173,141,123,105,85,126,214,210,210,207,205,205,202,201,195,200,204,206,210,212,215,215,217,204,185,175,176,175,183,163,119,101,81,159,219,209,209,207,206,205,204,201,195,199,203,206,210,213,215,216,216,218,209,208,198,179,174,162,112,93,87,185,216,207,207,206,206,204,203,202
4,164,167,170,174,177,180,185,189,190,192,196,197,198,201,204,204,204,205,206,207,209,209,208,208,208,208,207,207,165,169,172,175,178,183,188,191,192,194,197,199,202,202,204,208,210,206,209,210,209,211,211,210,211,211,209,208,167,172,172,176,180,185,189,190,195,196,199,206,200,212,198,161,189,216,206,209,215,212,212,213,213,212,211,211,168,173,174,178,182,186,190,193,194,200,191,184,206,240,213,162,136,197,187,147,194,219,212,215,215,213,213,213,170,174,176,180,184,188,192,191,207,235,199,177,178,237,218,194,157,142,190,140,124,211,218,217,218,216,216,216,172,174,175,180,185,189,196,187,229,255,230,211,157,199,234,195,173,118,177,164,121,170,227,215,218,218,217,217,173,175,176,181,187,191,192,191,220,247,255,231,183,157,241,206,173,112,170,171,125,162,230,218,220,220,219,218,173,176,179,183,189,189,206,215,202,199,216,242,186,125,193,214,155,108,162,170,117,158,230,218,219,220,220,219,175,177,180,184,191,184,236,255,235,220,180,160,156,110,133,170,127,107,142,150,109,171,230,219,222,221,220,220,174,177,180,185,191,186,243,239,234,228,177,113,116,112,99,138,109,81,110,107,99,193,228,221,224,223,222,222,175,177,181,185,192,191,233,173,168,187,146,107,98,126,84,123,129,147,176,118,90,212,226,221,224,223,223,223,178,179,181,187,192,194,226,154,101,147,154,112,96,118,120,143,193,229,209,147,106,177,233,226,223,226,225,224,178,181,182,187,194,194,225,176,145,128,163,128,127,170,180,192,217,226,181,141,131,117,158,219,231,225,226,226,179,181,183,189,195,192,225,195,168,132,124,107,129,199,171,186,196,182,149,136,139,136,121,128,193,233,226,227,179,183,185,190,196,193,221,210,158,123,108,97,89,142,143,146,142,135,123,132,137,138,138,124,115,218,231,227,181,183,186,191,197,193,219,220,170,147,129,114,95,85,111,130,135,126,110,118,135,146,138,133,119,199,235,226,182,183,186,192,197,195,216,234,200,154,134,119,108,101,125,172,178,173,166,144,140,161,140,129,134,216,233,227,181,184,186,192,197,197,213,233,200,166,158,134,120,110,149,206,221,222,213,187,163,154,140,128,168,234,230,230,181,184,187,193,198,199,211,236,202,191,176,141,126,119,158,226,232,226,208,180,159,138,132,134,211,235,230,232,183,184,188,194,197,200,208,231,206,201,177,135,129,127,158,228,220,210,197,175,150,136,128,156,236,232,233,232,184,184,189,194,197,203,206,226,208,193,167,132,135,134,160,214,202,195,188,166,142,137,132,192,241,232,233,233,184,184,188,194,199,205,205,223,210,190,161,134,145,143,174,203,192,190,176,152,136,137,144,222,236,233,234,235,182,185,190,196,200,204,207,217,216,188,157,150,167,153,176,192,185,178,154,138,135,134,180,239,233,235,236,235,184,184,189,196,200,204,208,213,213,187,167,172,172,156,154,170,165,155,137,132,133,148,223,237,236,236,236,235,184,185,190,196,201,205,210,212,217,197,176,172,161,146,133,140,139,134,131,139,133,183,242,237,238,237,237,236,184,185,191,196,200,205,210,211,217,214,175,155,146,135,131,133,133,133,135,141,122,193,245,236,238,237,236,237,185,186,193,197,201,206,210,213,215,219,178,139,128,127,129,137,136,135,135,136,111,172,247,235,237,239,238,239,185,187,192,197,201,205,210,215,214,213,192,149,138,141,142,143,140,133,134,132,116,154,244,236,237,239,240,240
2,155,157,158,159,162,164,164,164,164,164,164,165,163,164,162,158,158,160,158,159,158,157,157,156,155,154,153,151,157,158,160,162,164,164,165,166,166,165,164,166,165,161,164,179,189,181,162,154,156,158,159,157,157,156,155,153,158,159,161,164,165,165,166,166,166,167,167,164,166,183,205,209,195,185,185,140,118,115,139,159,157,157,157,155,160,161,162,164,166,167,167,166,168,168,164,175,216,204,204,204,178,149,139,111,85,86,80,142,162,158,157,157,161,163,165,165,166,168,169,169,168,171,161,207,214,198,205,168,126,99,94,86,84,86,70,125,166,157,158,158,162,163,165,167,168,168,170,171,170,168,171,224,212,201,156,113,80,72,78,77,86,87,107,153,163,160,160,159,163,164,166,168,170,171,171,172,172,165,187,232,209,146,97,81,69,81,84,120,154,152,163,165,164,162,160,160,164,165,167,170,170,171,173,174,175,166,198,229,185,112,73,78,77,84,136,170,169,168,165,164,163,163,162,161,166,167,169,171,170,172,173,174,176,169,221,216,148,85,64,72,74,90,173,167,166,166,166,165,164,163,163,162,167,169,170,171,173,174,174,176,170,191,231,170,102,64,63,59,72,94,170,169,169,168,167,166,166,165,163,163,166,169,170,172,174,175,175,176,176,227,206,136,88,74,78,70,61,111,177,168,170,169,167,167,166,165,164,164,167,169,171,173,176,176,178,171,213,236,183,129,98,89,86,83,69,129,180,169,171,170,168,167,168,166,165,165,169,171,172,174,177,178,178,179,243,225,168,119,94,97,89,88,77,135,180,170,171,171,169,168,169,169,165,164,170,173,173,176,178,179,174,197,249,208,148,108,97,96,87,90,83,139,182,171,173,172,171,170,169,171,170,166,172,173,175,178,179,182,173,219,245,193,135,101,92,89,86,91,84,145,182,173,174,173,174,173,172,162,151,160,173,174,176,179,180,181,179,243,233,181,131,99,89,89,89,92,78,143,184,174,175,174,175,171,155,154,118,122,173,175,178,180,183,175,204,253,216,171,124,95,86,87,85,85,73,116,187,176,177,177,173,151,159,140,104,159,176,177,179,181,185,178,236,244,205,163,121,91,83,81,81,87,80,85,179,180,178,179,146,148,156,102,137,176,177,179,181,184,179,197,252,230,195,155,115,89,80,77,83,91,91,74,134,192,177,141,135,154,121,101,172,171,178,180,181,186,178,219,248,219,184,149,112,87,78,80,85,88,93,87,83,123,133,131,145,136,101,121,179,171,179,180,182,185,182,236,238,209,182,147,110,88,78,86,87,83,87,90,85,87,124,153,142,115,110,161,176,172,180,181,184,183,194,241,227,205,182,142,111,93,83,94,93,91,96,97,94,109,142,150,130,116,165,179,174,174,180,182,186,181,217,240,223,212,186,147,123,99,87,103,106,110,108,108,102,113,143,125,119,168,183,178,175,173,180,183,185,185,238,240,225,212,188,155,128,104,94,110,118,122,110,107,105,111,115,124,175,182,179,180,176,174,182,185,183,197,244,236,224,208,175,142,126,108,99,112,121,122,113,107,100,103,124,178,186,182,181,179,178,176,182,187,177,215,238,229,218,190,151,123,114,108,107,117,118,115,111,98,124,167,183,185,182,181,180,180,178,175,184,182,200,239,225,213,192,156,125,118,114,106,108,111,110,108,99,133,187,189,184,184,184,181,181,181,177,174,182,189,243,226,208,195,172,129,120,121,115,111,109,104,103,110,151,190,189,185,186,185,183,182,182,180,178,177
12,149,152,156,159,161,164,166,168,171,173,175,178,182,184,183,182,184,186,186,187,188,188,186,187,187,189,190,189,151,154,158,161,163,166,168,170,172,175,178,180,182,185,186,188,186,186,182,179,189,190,190,190,190,190,190,190,153,157,160,162,164,167,170,172,174,176,181,182,183,168,148,169,191,192,166,130,141,197,193,193,195,192,193,190,154,158,160,163,166,169,171,173,177,179,180,187,203,173,148,121,194,202,172,143,93,182,170,163,175,196,194,194,156,159,162,165,166,170,172,175,178,180,180,198,220,194,170,119,165,209,169,154,108,106,146,140,111,167,199,195,157,160,164,166,168,171,174,178,180,181,182,204,224,206,171,128,160,215,172,155,106,82,159,142,107,94,199,196,158,161,165,168,170,173,176,179,180,182,184,204,222,219,181,145,158,221,179,150,91,98,172,140,94,68,183,200,160,163,166,169,172,175,177,180,184,184,185,189,179,211,193,153,144,213,169,132,74,111,174,136,89,65,170,204,162,165,167,170,173,176,179,181,183,186,198,166,120,144,187,135,126,189,144,120,77,102,162,133,93,65,166,207,162,165,169,172,174,177,180,182,184,206,203,148,121,95,153,119,108,171,136,121,80,97,154,132,97,62,166,209,164,166,169,173,174,178,181,181,200,202,190,159,135,94,112,116,89,160,135,105,77,98,158,136,99,63,182,205,164,168,170,173,175,178,182,184,201,168,185,173,138,103,75,112,105,144,159,118,87,123,200,161,106,73,201,203,164,169,172,174,177,180,183,191,202,163,166,167,134,106,63,109,122,136,177,133,91,143,203,169,87,68,193,205,165,170,173,175,178,181,182,195,197,170,141,157,140,104,57,74,105,82,135,129,69,119,154,104,79,81,115,209,167,171,172,175,179,182,183,199,198,170,135,160,134,93,69,35,42,28,109,162,152,168,157,125,109,96,86,197,168,171,173,177,180,183,183,202,201,169,139,144,126,90,77,37,47,84,176,197,192,180,163,131,108,91,94,202,169,172,175,178,181,183,185,203,200,170,138,122,126,99,87,48,70,150,198,199,192,172,152,124,100,83,109,212,170,173,176,179,182,185,187,204,200,178,156,125,110,114,92,74,122,195,203,208,188,161,142,118,95,79,126,216,170,173,175,180,183,185,186,204,199,184,168,152,126,110,111,135,167,210,210,212,178,151,133,109,90,80,172,214,171,174,177,181,184,186,186,202,203,191,173,164,156,137,137,156,170,211,212,202,165,139,125,104,84,106,209,211,171,174,177,180,182,186,188,197,201,194,179,171,168,154,139,149,166,214,209,185,156,132,116,97,77,143,215,210,170,173,176,178,182,187,189,193,195,192,184,176,170,158,142,137,172,214,200,170,148,124,104,92,76,177,215,210,170,172,176,179,183,187,189,191,187,190,186,178,172,159,142,129,171,199,185,152,133,113,96,85,90,204,212,210,171,173,177,180,184,187,189,190,191,192,189,179,172,158,143,124,164,182,164,136,120,101,90,76,139,214,210,211,171,174,177,181,185,187,189,191,193,195,185,173,166,149,133,120,157,162,139,124,106,91,85,89,194,212,210,211,171,174,177,180,184,187,189,192,189,193,175,156,149,131,113,120,148,148,125,115,98,89,81,148,214,211,210,211,171,174,178,180,184,188,189,190,188,197,169,151,140,116,114,122,144,141,123,110,96,85,98,201,212,210,211,211,171,174,178,182,185,187,191,186,194,201,170,159,143,124,127,132,149,137,122,99,87,77,149,212,212,212,212,212
15,22,54,63,76,85,93,101,111,120,125,129,133,137,140,143,145,148,150,152,154,156,158,159,160,162,164,165,167,24,56,63,77,86,94,102,111,121,125,130,135,138,141,144,146,149,151,153,155,158,159,159,161,163,165,167,168,27,58,67,78,87,95,102,113,123,126,131,135,139,141,145,148,150,152,154,156,158,159,160,163,164,167,168,169,32,59,68,81,89,95,103,114,123,126,131,135,139,142,145,149,150,151,154,157,158,160,163,164,165,167,168,169,39,61,69,80,89,113,111,113,122,127,132,136,138,143,146,149,151,152,155,157,159,162,163,165,167,167,168,170,44,61,72,82,93,150,125,110,105,116,130,136,139,144,147,150,151,153,156,157,159,162,163,165,167,168,169,171,50,62,73,83,92,131,130,119,110,101,107,123,138,144,147,150,152,155,157,158,160,164,165,167,167,167,168,171,53,62,73,84,92,102,114,115,112,107,111,110,111,122,143,149,152,155,157,159,160,163,165,167,167,168,170,172,55,64,74,83,92,100,107,114,106,110,115,119,116,108,104,128,148,154,158,159,160,163,166,168,168,169,172,174,58,66,76,84,93,101,108,119,119,119,119,118,117,113,105,105,108,133,154,158,161,165,166,167,169,170,173,174,60,67,78,86,93,101,108,119,125,128,130,119,108,110,116,115,109,103,110,137,157,164,166,167,168,171,173,175,60,68,78,87,94,102,111,121,125,130,135,135,124,114,105,102,105,102,103,110,112,138,163,168,170,172,173,175,61,68,79,88,95,102,113,122,125,131,143,116,102,118,114,89,85,95,112,117,119,104,122,166,170,173,174,175,61,69,80,89,95,102,112,122,126,137,141,119,95,94,109,113,104,112,116,124,129,111,93,131,173,174,175,176,63,70,81,89,96,103,114,123,125,133,125,113,109,114,120,104,108,114,108,119,126,117,109,94,159,173,175,176,64,71,81,90,97,103,113,122,126,130,134,115,122,140,131,109,89,86,77,109,129,119,124,102,112,173,175,175,64,73,82,89,96,103,113,122,126,129,154,126,117,135,129,114,107,98,84,94,102,112,118,106,84,151,175,176,65,74,82,89,97,103,113,123,125,138,147,112,85,89,113,122,124,120,108,97,93,91,98,101,91,103,174,176,65,74,82,89,97,103,115,123,125,147,126,90,76,44,50,91,128,136,130,121,113,93,80,89,89,78,152,177,66,75,83,90,98,105,116,121,128,152,108,73,68,49,40,34,74,133,142,137,126,100,80,84,85,78,105,177,66,76,84,91,99,105,117,121,136,137,88,75,98,85,68,44,29,98,141,140,129,107,94,88,86,81,78,154,67,75,83,90,100,107,118,126,139,104,74,117,125,106,99,81,42,62,142,140,131,120,112,100,91,85,79,102,68,77,84,92,100,106,118,129,109,86,95,144,138,113,111,105,87,69,136,143,139,132,125,112,98,89,84,79,69,78,85,92,98,107,119,122,112,113,131,136,133,123,104,104,99,95,121,141,144,139,130,118,107,96,90,85,69,78,84,92,99,108,118,122,127,132,137,140,135,116,95,91,88,109,113,126,138,136,129,120,110,101,95,90,70,78,84,92,98,109,118,122,127,133,136,140,144,146,138,127,114,112,120,106,122,125,125,120,113,105,95,92,69,77,83,90,97,108,118,122,126,133,136,140,145,148,151,152,151,154,141,124,117,128,125,120,116,109,98,94,69,77,82,88,96,107,116,120,125,132,136,140,145,149,151,153,156,165,165,155,142,141,126,114,113,114,108,101
16,237,238,240,241,241,240,242,243,243,243,242,243,244,244,243,242,243,243,245,247,244,244,246,245,245,246,245,242,239,239,240,242,243,242,243,245,244,244,243,245,246,243,248,250,250,248,244,247,246,246,247,247,246,246,246,244,240,240,242,244,244,242,243,245,245,246,247,248,244,244,222,216,211,231,255,250,247,247,247,246,245,246,246,245,240,241,241,244,244,244,244,245,244,242,235,228,246,255,212,187,178,149,179,241,255,248,247,246,247,248,246,246,240,241,242,244,244,247,247,246,248,241,216,221,255,255,232,212,194,158,113,123,191,249,253,245,248,247,246,246,241,242,244,245,247,245,240,226,255,255,225,240,255,253,237,225,196,141,137,115,104,142,235,255,245,249,248,247,244,244,244,245,244,255,239,231,255,254,233,245,255,237,224,214,188,124,136,124,117,107,126,233,255,248,250,248,244,245,245,246,243,255,255,233,251,248,246,237,254,221,216,202,171,122,123,115,117,120,105,119,244,253,250,250,243,243,246,245,244,253,251,231,247,255,253,242,250,225,214,193,151,118,111,107,112,118,119,94,154,255,251,251,241,243,244,247,254,242,250,249,240,255,255,245,255,241,217,181,138,111,99,104,114,116,112,111,102,237,255,251,242,244,241,255,254,240,251,255,247,248,254,248,255,245,214,168,129,103,83,104,117,120,122,111,97,217,255,247,243,244,243,248,251,250,244,255,245,248,255,255,255,243,202,150,120,76,76,104,118,126,133,116,104,238,254,249,244,245,246,245,250,255,253,255,255,216,255,255,253,246,199,135,91,39,75,97,109,133,129,115,114,246,252,252,247,246,246,245,251,255,255,232,239,230,249,255,255,247,189,124,61,31,64,84,103,145,122,108,126,251,253,253,246,245,247,245,247,246,255,220,191,247,245,255,255,245,182,115,62,33,45,70,116,156,120,104,151,255,252,253,243,244,246,246,247,236,238,255,247,224,242,255,255,238,178,107,77,62,46,75,151,160,123,103,157,255,252,254,248,249,251,252,252,251,224,240,255,236,242,255,255,234,172,106,91,98,80,102,184,184,140,98,153,255,253,253,193,199,204,208,211,219,212,211,243,219,213,243,255,230,160,104,102,106,88,122,206,214,177,101,157,255,250,254,125,128,127,127,130,132,133,136,175,147,132,219,255,230,149,104,110,114,102,137,205,224,206,135,127,220,255,255,136,135,134,131,131,132,131,129,128,136,113,209,255,234,138,140,127,117,111,144,198,223,227,185,150,255,255,255,132,135,134,133,134,135,135,136,136,140,120,191,255,236,132,203,161,136,124,124,182,212,225,206,159,245,255,255,133,133,132,136,134,135,135,134,136,139,126,161,255,234,139,233,190,156,147,119,135,198,205,189,119,206,255,252,132,132,131,134,135,135,134,135,138,140,131,146,255,226,151,255,217,181,165,144,109,135,177,146,152,227,218,248,132,132,131,132,134,134,134,134,136,138,133,141,255,181,188,255,234,202,184,159,126,106,120,101,215,255,185,220,131,133,132,133,133,133,134,137,136,136,136,138,174,178,255,255,243,214,195,171,136,112,115,90,221,255,241,199,131,133,133,134,133,131,133,136,135,135,134,137,115,213,255,255,252,221,202,182,146,113,117,94,216,255,255,248,131,132,133,135,133,130,131,134,134,134,135,136,125,198,255,255,255,229,206,186,156,118,114,94,195,255,255,233,130,130,133,138,133,131,131,133,133,134,134,137,126,195,255,255,254,229,207,190,162,125,116,97,181,255,255,212
19,171,172,174,176,176,177,179,180,180,181,182,181,179,179,178,180,181,178,178,177,176,176,175,174,173,172,172,172,172,174,175,177,179,180,181,182,182,182,181,182,181,179,179,161,163,182,179,178,179,178,178,177,175,175,173,173,173,175,178,180,181,182,182,183,184,183,184,183,180,190,185,142,96,167,184,179,180,180,180,179,177,174,173,175,174,176,179,181,182,183,183,184,183,183,184,185,180,201,183,148,89,136,192,179,180,180,180,180,178,176,176,176,175,178,181,182,183,184,185,186,185,185,186,186,183,205,178,151,91,124,193,180,182,181,181,181,179,178,178,178,178,180,182,184,186,186,188,187,188,187,187,187,188,204,167,141,83,118,196,181,184,182,180,179,181,179,179,179,179,182,184,186,187,187,188,188,188,188,189,186,192,204,153,116,79,121,194,176,179,173,186,192,166,180,180,180,180,183,186,186,188,188,189,189,188,189,189,186,191,198,165,143,160,178,185,172,191,173,213,224,125,179,180,181,182,184,186,187,189,192,191,190,189,189,194,197,194,187,187,185,203,206,191,177,190,181,170,151,134,187,182,182,183,186,187,189,191,191,192,190,197,205,211,217,212,194,172,164,164,163,150,132,124,123,121,139,181,185,185,184,187,188,189,192,190,198,201,196,209,217,216,208,191,181,171,163,126,90,111,130,151,164,184,191,186,186,186,184,187,188,191,191,197,218,208,203,200,199,199,196,197,196,195,199,148,92,188,194,196,193,190,187,186,186,186,184,188,189,194,190,206,222,211,207,199,203,208,209,206,199,195,184,139,78,178,193,189,190,190,188,188,186,186,186,190,192,195,193,203,222,209,201,206,213,212,214,205,192,188,168,121,67,139,202,189,193,190,189,189,188,187,187,192,194,195,194,203,217,195,191,198,208,211,198,188,197,203,202,143,71,90,196,194,193,192,191,189,189,188,187,193,194,198,195,211,204,188,189,190,177,177,199,213,204,196,206,143,74,69,176,199,194,193,193,192,192,189,189,193,196,198,197,211,189,189,195,191,178,200,212,196,186,188,179,126,79,57,157,205,194,194,195,193,193,192,192,193,196,199,199,203,204,209,206,211,216,213,199,191,185,172,148,105,75,56,174,202,195,196,195,195,195,193,192,194,198,200,201,199,221,220,207,204,206,204,191,174,170,184,192,147,59,122,207,196,196,196,197,197,196,194,193,196,197,200,203,198,211,221,199,192,183,155,148,187,210,208,208,170,72,154,209,197,199,197,198,197,195,196,195,196,200,201,203,203,196,210,193,186,176,170,195,220,199,176,171,147,75,103,212,199,200,198,199,198,196,195,195,197,199,202,204,206,200,199,213,211,203,210,210,194,175,163,152,119,56,136,213,200,201,201,199,197,196,196,195,197,199,202,204,209,203,196,215,214,191,190,191,178,161,141,107,100,141,197,205,202,202,202,201,199,198,198,196,197,200,202,205,208,204,193,201,202,178,178,169,150,127,93,62,176,217,203,204,203,203,202,201,200,200,199,197,196,199,201,203,206,203,186,195,191,165,154,136,113,91,76,65,159,212,202,202,203,202,201,200,199,198,198,196,198,201,202,204,206,206,181,184,184,156,142,139,123,84,78,66,109,216,202,204,203,202,200,200,200,199,198,197,199,202,203,206,208,206,183,177,175,155,133,116,100,80,77,65,107,216,203,204,203,201,200,201,201,199,198,197,199,202,204,206,208,203,183,184,169,165,141,113,91,84,80,64,116,219,204,205,204,202,202,202,202,201,200,198
7,155,156,157,157,157,156,156,156,156,156,156,157,157,156,155,155,154,154,144,54,36,61,76,79,100,123,136,157,158,159,160,160,160,159,159,159,160,159,160,158,158,158,158,157,156,161,123,45,54,78,71,74,98,119,140,158,162,162,162,162,163,163,163,164,164,163,163,164,162,162,160,160,157,164,98,41,60,69,73,68,93,125,146,160,165,165,165,164,165,165,165,164,167,165,164,161,160,163,159,158,154,159,130,101,117,71,64,84,101,136,153,154,168,168,169,168,168,168,167,168,169,168,170,160,145,160,167,159,145,147,137,157,190,106,58,84,111,149,154,146,171,171,171,171,174,172,169,172,179,184,180,165,153,161,161,158,147,142,137,132,166,111,74,97,129,159,155,145,174,175,174,173,173,174,181,189,193,189,181,167,167,162,132,139,159,151,151,140,139,122,121,159,145,161,163,150,178,177,179,177,171,179,187,187,183,178,176,177,170,159,139,146,163,152,150,145,122,117,104,134,129,158,169,164,180,177,197,193,182,181,183,180,180,181,178,178,171,151,147,138,126,113,106,105,93,89,96,97,103,156,168,173,180,184,207,194,176,173,179,182,181,179,172,164,152,135,122,111,109,112,125,124,103,161,155,134,106,156,165,174,183,190,204,191,162,159,170,172,170,155,131,116,95,90,122,167,177,176,187,161,129,199,135,165,116,150,163,168,184,194,199,180,155,160,162,145,125,103,112,139,108,109,117,97,173,184,181,174,158,121,113,188,118,135,161,158,185,196,196,180,180,176,162,149,141,149,154,150,143,139,149,84,112,194,179,181,179,126,167,194,124,112,158,152,189,199,198,201,207,185,152,154,160,158,151,139,136,135,129,83,107,195,182,183,179,174,160,178,151,105,149,155,192,200,201,208,207,179,143,144,141,134,134,129,123,117,99,91,180,188,185,185,182,180,190,178,165,148,152,156,194,200,204,206,190,168,154,144,121,102,108,122,118,115,101,110,194,188,187,186,186,184,162,126,132,158,154,156,200,204,203,197,181,172,173,177,147,122,134,149,141,125,122,109,157,198,188,187,187,193,159,121,144,152,152,158,204,207,200,189,180,171,184,184,146,122,130,132,123,111,111,89,155,198,188,190,190,192,184,148,164,146,151,157,203,205,198,190,180,182,196,176,141,122,123,120,117,110,93,107,191,193,193,192,190,189,190,164,156,149,142,153,201,204,197,186,185,191,185,160,130,113,103,98,88,75,92,176,200,193,193,192,191,191,192,174,159,155,139,144,199,198,191,184,186,176,160,142,127,119,96,73,86,126,179,203,195,195,193,193,192,192,194,181,160,165,147,129,192,192,186,182,182,168,153,146,134,117,124,170,188,206,202,199,197,196,195,196,194,193,195,182,158,169,163,141,188,186,185,180,177,168,159,147,115,94,188,211,201,199,198,198,198,198,197,197,196,193,195,182,156,167,165,155,186,178,180,179,165,156,148,120,80,148,213,201,202,202,201,200,199,198,197,197,197,195,195,182,156,164,162,158,183,172,167,161,150,138,120,88,112,206,205,204,205,205,203,203,200,198,199,199,197,196,198,183,158,163,160,152,175,165,159,143,127,110,85,93,191,208,204,206,204,205,203,202,202,201,200,200,198,197,199,179,160,164,159,152,157,148,139,122,100,83,98,182,211,205,206,206,206,206,205,204,203,202,200,200,199,199,196,169,163,163,159,149,142,130,124,111,90,121,192,211,205,207,206,206,206,207,206,206,205,203,202,202,200,202,184,163,167,167,162,153
21,128,129,129,130,130,131,131,130,129,130,131,128,130,130,127,127,126,125,125,124,123,122,120,118,117,116,112,111,131,131,131,132,134,134,133,133,133,131,139,124,94,132,131,130,129,128,128,127,126,124,123,121,120,119,116,114,133,134,134,136,136,136,136,137,137,135,138,136,85,107,139,133,133,132,130,130,129,127,126,124,125,122,119,118,136,136,137,137,138,138,138,139,140,139,137,138,107,74,140,136,136,136,134,133,131,129,131,115,94,126,122,120,138,139,139,140,140,140,141,142,142,141,140,142,123,58,123,143,137,137,136,136,134,131,136,111,62,123,126,122,141,141,141,142,142,143,143,143,142,142,143,143,137,75,97,149,138,139,138,138,136,133,143,98,66,129,127,124,143,143,144,143,144,145,146,145,145,144,145,146,148,98,76,145,142,141,140,139,137,140,136,82,79,138,128,127,144,146,147,147,147,147,147,147,147,147,148,148,155,111,63,134,147,142,142,142,138,147,130,68,102,139,129,129,147,148,149,149,149,150,148,149,148,149,150,148,160,126,69,117,152,143,143,142,144,145,115,65,126,138,132,130,149,150,151,152,151,152,152,152,151,152,152,149,155,145,90,100,154,145,146,145,146,132,87,75,143,135,135,132,152,153,153,153,153,153,153,152,153,154,153,153,149,148,110,86,150,148,147,149,148,126,58,106,146,138,137,134,153,154,154,153,154,155,154,153,154,154,154,155,134,115,108,75,142,152,148,153,147,108,65,143,143,139,138,136,154,154,156,155,155,154,155,155,155,155,156,153,151,142,125,87,130,160,150,153,134,78,96,153,141,142,139,138,155,156,157,157,156,157,157,157,157,157,160,149,137,160,151,124,92,132,143,132,110,61,131,151,145,143,141,140,157,159,158,159,159,159,158,158,159,159,160,154,116,102,145,126,109,75,101,110,73,72,154,147,147,144,143,141,158,159,159,159,159,160,159,159,160,159,160,155,119,47,53,133,127,62,49,71,49,90,160,147,147,146,144,142,159,159,159,160,160,160,161,161,161,161,163,160,128,95,58,91,114,62,57,48,38,102,162,149,149,147,146,144,160,161,161,161,162,162,161,162,161,163,159,143,143,135,103,59,102,83,66,75,41,111,162,151,151,149,147,145,162,162,162,163,164,164,164,164,164,165,149,149,150,139,125,105,74,95,78,85,36,93,164,151,152,150,148,146,162,163,163,165,165,165,165,166,166,163,150,142,107,114,138,123,92,58,80,68,36,54,161,153,153,151,149,147,162,164,164,164,164,165,164,165,166,163,151,142,105,51,83,121,88,32,54,87,57,27,110,163,151,152,149,147,162,164,164,165,164,165,165,165,166,163,152,138,109,81,39,75,64,39,44,94,83,33,71,163,149,149,151,153,163,164,165,165,166,165,165,166,167,165,147,138,131,94,53,73,93,46,68,110,93,32,89,164,154,156,134,94,162,163,164,165,165,165,165,166,166,165,143,139,139,90,71,94,158,121,106,108,67,28,136,157,127,84,41,22,170,169,170,171,171,170,170,170,171,169,147,144,125,108,69,96,154,144,112,89,56,35,95,60,37,20,21,27,130,133,137,141,145,147,150,154,157,159,144,133,121,102,61,90,138,122,99,79,56,29,24,24,31,13,21,29,71,71,72,72,74,76,75,77,78,73,103,133,124,95,67,90,135,119,88,62,40,24,25,20,29,6,12,31,79,79,79,79,78,81,81,79,82,75,91,137,121,97,78,77,120,106,72,46,25,19,20,14,21,2,8,29
3,161,161,162,163,164,164,165,165,164,164,164,164,164,163,162,161,160,159,159,157,156,156,155,153,152,151,150,150,165,165,166,166,167,168,168,167,166,167,167,166,167,165,164,164,164,163,160,160,158,157,155,154,154,152,150,149,169,170,169,170,171,171,171,170,169,171,170,169,169,168,166,172,151,152,166,162,161,159,157,157,155,153,153,151,172,173,173,174,175,174,175,174,174,174,174,173,172,171,169,178,142,121,172,164,164,162,161,160,158,157,155,153,177,177,177,177,177,178,178,177,178,177,177,177,175,174,173,177,147,108,170,168,167,166,165,163,161,160,158,156,180,180,180,181,181,181,180,181,182,181,180,179,178,177,176,179,148,98,168,172,170,168,167,166,163,161,160,158,183,183,184,184,184,184,184,184,184,184,184,183,181,180,180,179,148,97,167,176,173,172,170,169,167,164,162,161,187,186,186,186,187,187,187,187,188,188,187,185,185,184,182,187,158,99,163,181,175,174,172,171,169,167,166,164,189,189,190,190,191,190,190,189,190,190,190,189,188,187,184,190,151,93,166,182,178,177,175,173,171,170,168,167,192,192,192,193,193,193,193,192,192,191,192,191,190,190,188,182,148,104,167,185,180,179,178,176,174,172,170,169,195,196,195,196,195,196,196,195,195,194,194,194,192,191,189,182,152,106,157,190,181,181,180,179,177,175,173,171,197,197,197,197,197,197,196,197,197,197,197,196,194,194,193,196,153,91,148,194,183,183,182,180,178,177,175,173,198,199,199,200,199,199,198,199,199,199,198,200,200,194,179,168,174,129,141,204,186,185,184,182,181,178,177,175,200,201,201,201,202,201,201,201,201,200,201,188,178,192,163,102,157,164,106,158,187,190,185,185,183,180,179,177,201,202,202,202,203,203,203,203,203,201,196,170,119,158,172,116,119,155,102,94,116,182,190,186,185,182,180,178,203,203,201,203,204,204,205,205,205,198,189,171,145,128,176,139,98,143,126,110,93,150,197,186,186,185,183,180,203,204,204,205,206,206,206,207,202,192,150,147,163,127,152,146,93,98,127,116,82,138,200,188,188,186,185,181,205,206,206,206,206,206,207,208,197,186,157,110,143,113,120,152,95,91,125,146,95,121,201,189,189,187,185,183,207,207,207,207,207,208,208,208,199,183,153,105,118,85,112,129,79,100,119,167,120,102,196,191,190,189,186,185,207,208,208,208,209,209,209,209,203,180,168,141,104,91,124,111,83,138,168,166,125,101,199,194,191,189,188,186,208,209,209,209,209,209,210,211,206,182,180,154,117,114,138,125,144,195,172,145,91,149,204,194,193,192,189,188,209,209,210,210,211,212,212,213,209,179,179,161,132,117,142,189,196,185,149,115,98,198,199,196,195,192,190,189,209,210,211,212,212,212,213,213,215,181,165,155,134,122,134,185,176,161,130,90,134,210,196,197,196,194,191,189,208,210,209,210,212,212,212,212,216,194,157,157,142,132,131,171,167,144,108,84,183,205,199,198,196,194,191,188,208,210,209,210,212,212,212,212,213,210,165,155,154,138,120,145,141,117,78,151,209,199,199,196,194,192,195,195,208,210,211,212,212,213,213,213,213,211,184,166,154,128,110,117,112,76,131,212,199,199,197,198,202,198,176,138,210,211,212,212,212,213,213,213,216,200,185,179,155,132,120,115,103,91,201,206,206,206,203,190,152,115,85,70,209,210,212,212,212,213,213,213,216,189,176,183,163,152,134,119,84,132,215,201,181,152,127,100,77,74,69,69
13,167,169,173,181,187,191,194,195,198,200,206,207,208,211,213,214,215,216,215,217,218,217,217,217,217,218,217,216,169,171,175,182,188,191,195,196,199,202,206,208,210,212,215,215,217,217,218,219,219,219,219,218,220,221,220,218,171,173,178,184,191,193,196,198,201,204,207,210,212,215,216,217,217,219,220,219,219,220,221,221,222,222,221,220,173,175,180,186,193,196,198,201,203,206,208,211,214,217,217,215,219,214,218,227,227,223,222,223,224,223,221,221,174,176,181,188,193,197,200,203,206,208,210,213,216,217,223,246,243,202,161,198,212,223,229,224,225,225,224,223,176,178,183,190,195,199,202,205,208,210,214,214,218,216,218,237,247,200,142,118,162,165,204,230,224,226,226,226,175,180,185,190,196,200,203,206,208,213,216,220,231,187,169,181,234,206,149,114,175,151,129,230,228,227,226,226,177,180,187,191,198,201,203,208,210,215,205,241,255,221,181,137,194,236,178,118,180,149,128,229,229,228,228,227,177,181,189,193,199,202,206,208,212,229,180,163,244,249,209,144,122,233,184,119,187,161,139,236,229,230,229,229,180,183,189,194,200,204,207,207,239,246,199,140,162,255,225,167,94,140,165,108,216,168,172,239,230,231,230,229,181,184,190,197,201,205,204,236,238,244,227,175,107,228,219,160,100,79,108,109,189,143,193,242,230,233,231,231,182,186,193,199,203,203,222,243,191,221,235,187,102,181,211,148,98,74,118,158,171,145,146,238,234,234,233,233,183,187,196,201,205,206,248,242,199,199,213,165,104,151,209,168,95,108,183,190,163,147,131,196,244,233,235,234,187,191,198,204,205,219,243,215,177,181,196,144,92,121,222,182,101,185,219,195,158,131,138,148,242,235,236,236,188,193,201,207,206,232,253,222,186,160,178,144,88,82,205,165,152,234,215,188,157,136,124,143,243,236,237,237,189,195,204,211,209,236,255,227,201,151,146,137,91,127,213,213,231,225,201,172,152,132,105,188,249,237,239,239,190,197,207,213,211,243,255,237,207,166,141,144,173,219,243,246,239,214,188,162,145,119,120,235,241,240,240,239,192,200,209,215,213,249,255,247,207,184,193,187,201,224,240,236,229,204,177,159,136,102,156,253,237,241,241,241,196,204,212,218,217,250,255,255,219,204,206,179,215,227,235,236,216,191,169,149,128,93,199,252,241,242,242,242,199,209,216,222,222,241,253,255,232,216,208,189,220,239,226,222,198,176,157,141,109,125,250,245,245,244,244,244,202,211,219,225,227,230,254,254,241,222,206,195,211,234,223,200,184,164,153,131,111,226,254,246,247,246,246,245,205,213,221,225,231,228,247,246,242,229,218,206,202,223,218,192,172,153,146,111,201,255,248,250,249,248,246,245,207,216,223,227,233,231,236,252,244,239,234,215,200,215,211,182,152,149,120,164,255,249,252,253,250,248,255,255,209,218,226,231,235,233,229,253,237,233,227,208,194,203,195,171,140,137,128,243,255,253,254,253,252,255,224,168,211,221,229,234,237,237,233,246,213,212,221,210,195,197,184,166,147,116,188,255,254,255,254,255,255,188,101,79,213,222,230,234,238,239,233,254,221,223,232,224,199,186,178,166,147,113,226,255,255,255,255,255,178,94,94,71,213,223,229,234,237,240,230,255,233,235,242,224,204,182,177,165,145,116,242,255,255,255,215,138,88,95,105,73,214,224,231,235,238,243,231,254,250,252,250,225,208,185,175,166,140,118,246,255,255,215,106,86,73,84,104,89
24,123,129,135,139,142,145,147,150,150,151,153,154,154,154,155,155,154,152,152,152,151,150,149,150,149,148,145,144,125,130,137,141,142,145,148,150,152,153,156,156,156,156,157,155,154,155,155,154,152,152,150,151,150,149,147,145,126,133,137,139,147,147,150,151,152,155,156,157,157,156,157,157,155,156,157,155,154,153,152,152,150,148,147,147,128,131,149,164,128,150,151,154,154,157,157,158,158,157,159,158,157,157,156,155,155,155,154,154,151,149,149,147,131,128,170,186,99,154,153,155,155,157,159,160,160,159,161,161,159,157,157,156,156,156,155,154,152,150,150,149,132,130,174,179,92,152,155,156,158,160,162,163,163,163,162,162,160,160,159,158,157,157,156,155,154,153,150,150,134,131,173,186,90,144,159,157,160,161,162,164,165,165,163,163,162,162,160,160,159,158,158,156,155,154,153,151,135,133,167,194,101,140,161,158,161,164,163,164,165,165,164,165,165,164,162,162,161,160,159,158,157,156,155,154,137,137,162,198,105,129,165,160,164,163,166,167,165,166,169,166,166,165,164,163,162,162,160,159,158,158,156,154,136,138,158,205,127,109,164,163,163,172,168,161,181,176,154,169,166,166,166,164,163,162,160,159,159,159,158,156,137,142,155,215,158,109,198,175,147,208,171,115,194,193,117,138,177,168,168,166,166,166,165,165,161,159,158,156,138,144,152,204,165,144,235,174,154,213,174,118,188,179,130,96,167,173,170,169,166,159,152,147,162,159,159,157,140,147,149,200,187,181,238,174,154,220,166,131,206,164,119,76,140,180,169,170,144,119,99,76,140,167,160,159,142,150,149,204,211,196,239,183,136,223,154,135,204,158,95,61,130,176,169,164,120,87,91,117,154,166,162,161,143,148,158,202,204,191,225,188,127,206,156,139,193,147,68,36,123,179,167,139,97,116,167,173,168,164,164,163,144,146,169,198,170,176,203,186,121,195,163,139,190,122,49,81,141,171,129,99,107,176,173,169,168,166,165,163,146,147,178,223,154,147,185,173,114,199,154,142,184,108,143,172,158,132,89,94,167,177,173,172,172,171,167,166,147,145,185,240,173,134,174,168,128,207,130,127,189,178,191,163,134,114,83,160,183,175,175,174,173,172,170,166,147,144,188,244,187,125,166,179,162,199,115,158,216,186,167,155,117,93,138,186,176,175,175,174,174,172,169,166,147,146,187,240,189,139,157,170,156,177,188,220,202,177,162,138,97,108,185,179,178,177,176,174,172,171,170,167,148,146,187,239,197,168,150,178,220,232,236,204,186,174,153,112,88,160,185,180,180,179,179,177,174,172,172,169,147,148,175,240,209,177,164,190,232,234,225,197,173,152,132,91,138,189,181,182,181,181,179,178,176,173,173,171,146,152,162,232,213,181,173,198,236,232,209,191,158,130,102,118,188,183,182,181,181,180,176,176,176,173,173,172,149,156,165,220,200,180,176,199,224,210,188,166,142,112,105,182,192,189,190,188,187,185,183,182,180,182,178,170,119,118,126,207,191,188,184,194,210,199,168,139,122,97,106,127,120,120,120,119,118,119,119,119,119,107,111,144,92,89,84,194,201,196,193,198,204,187,147,122,109,91,85,81,79,79,78,76,75,76,77,67,62,103,160,173,99,101,87,194,222,199,202,199,193,174,135,113,98,91,93,93,92,91,89,88,86,88,86,102,165,197,177,150,100,101,84,186,234,205,212,192,178,168,138,103,90,91,90,92,92,90,90,89,89,82,121,198,198,164,162,135
4,173,175,177,181,183,186,190,191,190,194,194,195,196,198,198,197,197,198,196,194,196,195,194,195,194,193,192,192,173,176,178,183,184,188,190,192,192,194,196,197,197,200,200,198,199,200,199,196,197,195,194,195,196,195,195,193,174,178,180,183,185,188,190,193,194,195,198,198,198,199,201,202,199,199,201,199,198,197,197,196,197,196,195,193,176,179,182,185,188,190,192,194,197,196,197,199,196,209,196,184,203,204,189,202,201,199,199,199,197,195,195,195,177,181,184,186,189,192,194,195,196,196,200,193,223,229,193,151,198,216,166,159,204,203,202,200,199,197,196,196,177,182,186,187,190,192,195,198,192,233,235,190,203,245,193,157,219,213,178,110,184,185,191,205,201,199,197,197,179,184,186,190,193,193,197,196,204,255,255,213,147,239,199,152,243,219,152,141,210,150,122,195,202,198,199,199,182,186,186,192,195,194,200,192,230,255,255,197,138,232,201,159,232,204,184,210,169,138,90,146,211,199,201,201,182,185,189,193,195,198,199,196,251,225,242,178,121,201,213,215,213,238,255,225,139,100,89,132,213,202,203,202,183,188,191,194,196,200,197,208,255,211,225,192,98,179,194,220,237,250,240,218,176,107,72,149,214,202,204,202,184,188,192,194,197,201,195,241,252,204,195,196,87,162,159,126,190,217,202,221,193,131,72,165,214,203,204,204,183,188,193,195,198,197,206,255,219,181,171,133,89,166,161,90,202,164,182,241,205,150,94,191,211,205,205,205,186,190,194,197,200,194,224,255,206,164,156,137,120,139,136,104,194,125,149,255,225,171,107,197,212,206,206,206,186,191,194,197,202,192,243,255,207,162,140,119,124,129,130,144,158,167,184,255,240,182,107,150,219,207,208,207,187,191,194,198,203,194,255,255,207,159,135,120,130,128,158,187,202,241,236,222,222,175,128,113,214,210,210,209,189,192,196,200,203,201,255,255,201,153,154,136,126,118,175,213,241,236,231,209,169,180,140,120,212,210,210,210,188,192,196,200,200,210,255,255,197,171,183,149,129,170,233,251,240,236,215,184,143,149,115,150,221,209,210,210,185,190,193,199,198,215,255,254,213,213,199,154,200,253,255,254,238,226,195,162,135,117,107,195,215,211,210,209,187,191,194,200,198,220,255,255,240,230,211,167,237,255,255,255,220,205,178,154,130,98,146,220,210,213,211,211,187,191,196,201,199,219,255,255,250,223,216,179,242,255,255,248,202,182,165,148,118,103,203,217,214,214,212,211,189,192,196,202,202,209,255,255,252,224,208,198,245,255,243,222,188,163,155,134,96,155,223,213,214,213,213,212,190,193,197,201,204,204,255,255,240,230,211,204,228,238,217,192,171,164,151,110,108,212,219,216,215,213,213,211,189,192,197,201,204,204,255,243,229,235,220,205,218,227,207,180,157,156,137,94,175,224,214,216,214,212,211,209,188,193,197,202,205,204,255,231,228,233,213,188,213,230,203,165,139,142,114,141,225,219,220,216,216,215,214,213,183,186,189,193,199,193,252,242,234,222,209,186,201,229,185,142,130,125,115,193,206,203,204,202,201,200,201,194,121,121,121,121,124,113,244,255,246,228,213,192,189,222,173,133,123,113,104,113,112,111,111,109,109,112,101,120,107,109,109,107,114,95,229,255,251,234,225,198,172,218,182,132,112,105,103,100,99,100,98,97,99,88,140,230,116,117,117,119,123,102,210,255,248,226,222,198,160,209,184,125,108,101,106,108,106,105,106,108,95,155,251,241
15,99,109,119,123,124,129,137,144,148,153,158,162,165,167,170,173,175,179,181,184,186,188,190,191,193,193,195,196,102,110,119,123,125,129,137,144,149,154,159,162,165,168,171,173,177,180,182,185,188,190,191,193,195,195,196,197,102,111,120,124,127,132,139,145,150,156,160,162,165,169,172,176,179,181,185,188,189,190,193,194,195,196,197,199,104,113,122,125,128,134,140,147,152,156,159,163,167,170,173,177,180,183,187,187,188,191,194,195,196,197,198,199,103,113,121,124,128,133,140,148,152,156,161,164,167,171,174,177,181,182,185,187,191,193,195,196,196,197,199,199,114,120,130,131,133,142,147,151,148,153,156,160,166,171,174,177,180,186,189,188,191,195,196,198,199,199,199,201,147,134,140,142,143,155,162,165,169,167,158,155,157,158,168,169,163,164,173,191,195,194,197,199,200,200,200,202,129,109,115,124,139,154,157,166,184,177,167,168,172,180,175,176,177,154,138,129,176,201,195,200,200,201,202,202,97,95,102,105,113,126,133,149,176,185,183,183,184,187,191,176,172,191,144,112,101,167,205,198,200,202,202,202,110,122,125,124,127,130,135,137,145,160,175,196,200,169,172,180,142,199,143,114,129,107,167,206,197,202,201,202,108,118,125,127,133,140,143,153,145,127,134,139,166,164,144,155,133,203,147,103,145,151,92,174,203,199,201,203,110,121,126,127,132,137,143,173,137,117,107,118,150,159,124,118,124,164,143,123,143,153,103,93,198,201,200,201,110,121,125,126,133,135,157,188,117,104,115,135,165,157,128,116,126,114,115,130,147,133,93,68,122,211,198,201,111,121,125,127,132,138,152,199,131,104,136,148,162,149,124,118,120,119,119,134,148,145,96,72,65,144,208,204,111,121,126,127,133,136,169,204,198,159,136,122,126,119,102,102,105,115,130,142,146,141,105,76,74,69,131,200,111,120,125,127,132,135,181,205,191,201,173,116,65,60,61,55,61,82,114,133,128,120,97,85,85,78,66,101,110,120,125,127,133,137,161,202,194,175,183,192,110,30,42,35,39,47,78,122,129,123,113,111,98,87,81,73,99,105,111,114,119,122,127,182,197,173,166,198,119,50,43,37,48,41,75,135,145,144,137,130,113,93,84,83,78,81,83,82,86,83,94,200,188,170,157,155,83,57,46,41,52,50,63,116,137,141,139,131,115,95,83,88,87,87,88,89,91,92,93,173,202,177,140,131,111,62,48,50,53,62,72,86,111,121,127,123,112,95,85,88,88,87,88,91,91,94,91,103,149,167,151,137,129,82,55,56,52,61,76,80,92,114,119,113,100,95,92,88,88,89,90,90,91,93,94,92,93,99,101,101,93,85,65,60,51,56,75,85,76,99,111,108,100,96,93,93,88,88,90,91,92,91,93,93,94,96,95,94,94,99,95,81,80,73,84,98,88,88,102,99,95,89,89,93,88,88,88,91,92,92,94,95,95,98,99,99,100,109,114,130,126,108,124,133,138,129,122,115,94,83,97,101,87,87,88,89,91,93,93,94,94,96,97,98,98,98,97,123,115,138,167,169,161,155,138,126,104,101,120,118,87,87,88,89,91,93,93,93,94,97,97,98,98,99,97,96,97,113,137,149,155,134,116,105,111,120,123,139,87,88,89,89,91,91,93,94,94,95,96,96,97,96,97,99,100,101,94,109,120,105,119,128,120,111,125,152,86,88,89,90,90,90,92,93,93,93,94,95,95,96,97,98,99,100,100,100,98,114,135,138,111,117,135,154
14,103,106,108,112,116,119,122,124,124,125,127,130,131,131,133,135,134,133,134,135,135,136,136,136,136,135,135,135,102,107,109,112,118,120,123,123,125,126,130,132,133,133,136,137,135,137,138,138,140,140,138,138,138,137,138,137,104,107,110,114,117,120,123,125,127,129,130,132,134,134,135,141,143,140,140,139,140,142,141,140,140,140,139,139,105,108,111,116,120,121,125,128,127,130,139,134,140,136,120,109,116,134,141,145,144,142,143,143,142,142,141,141,107,113,116,119,121,124,126,129,124,153,163,148,132,113,99,101,93,94,89,91,135,147,142,142,142,143,141,142,108,113,118,121,124,126,129,123,146,186,142,104,86,60,34,59,77,67,41,39,57,151,145,145,144,144,144,144,110,114,116,120,125,126,129,125,194,165,95,48,30,21,20,17,32,37,35,47,28,95,159,147,148,149,147,143,110,114,117,123,125,128,121,161,203,124,73,47,11,6,13,0,6,30,50,48,31,37,82,96,105,152,147,147,114,116,120,124,127,129,124,199,162,85,52,22,5,17,13,0,2,19,54,55,16,44,23,55,74,152,148,150,115,118,121,124,130,121,154,207,127,68,43,6,0,6,2,14,7,117,153,144,110,52,48,59,84,159,148,150,115,119,123,125,130,126,202,190,118,67,49,37,9,0,1,9,47,157,152,152,164,81,83,61,82,162,148,150,115,120,127,132,121,162,220,175,116,64,48,37,16,5,5,10,122,158,149,154,150,76,95,64,53,156,150,150,115,122,128,132,117,179,215,172,113,57,43,29,9,15,7,55,164,150,153,155,149,68,92,74,32,125,161,151,118,124,127,134,115,174,219,172,121,74,38,18,3,11,0,93,164,151,154,159,146,63,82,75,40,103,164,151,118,125,129,136,117,176,220,172,125,87,50,20,7,8,0,108,168,155,153,161,131,82,102,83,48,119,163,151,119,127,130,138,115,185,218,175,133,90,57,33,3,5,0,73,156,156,160,170,113,87,108,88,57,140,163,154,121,126,129,139,116,188,220,182,134,99,69,51,11,9,19,20,44,64,97,137,79,88,103,83,67,152,160,159,123,126,130,140,115,187,216,179,137,106,80,64,28,7,27,30,34,47,59,61,63,95,102,73,76,164,159,159,123,129,134,139,119,185,208,177,141,112,83,64,40,8,28,40,58,70,79,82,59,66,95,67,93,169,159,160,124,131,135,139,119,188,206,179,142,112,81,60,50,18,35,53,73,80,80,81,65,53,73,59,118,169,160,162,127,133,136,140,117,185,198,171,137,106,75,59,52,33,40,58,73,79,79,78,68,61,69,52,139,168,160,162,127,134,137,142,122,178,188,161,133,104,78,67,56,45,51,63,71,76,73,71,69,69,57,89,163,162,161,162,128,132,138,141,130,183,188,162,136,107,90,77,63,52,58,67,70,76,70,67,72,64,103,161,166,166,164,162,129,134,138,142,133,193,192,164,140,108,89,72,63,58,56,68,71,74,69,75,62,116,171,166,166,167,165,166,129,135,140,145,129,196,193,168,144,109,81,64,65,66,61,68,74,76,76,62,93,168,166,166,167,167,164,166,131,137,140,143,131,198,184,162,137,101,73,65,70,69,66,74,78,78,64,90,163,168,167,168,168,167,164,167,133,138,141,143,135,195,180,162,141,105,70,67,70,66,63,71,78,66,100,168,169,168,169,169,168,168,167,166,135,138,141,143,142,189,182,166,152,120,70,63,64,64,64,69,67,96,166,171,169,169,169,169,168,168,168,168
0,179,181,182,184,186,188,189,189,190,191,192,193,193,193,193,193,193,193,194,193,192,190,190,189,189,189,189,188,180,182,183,186,187,188,190,191,192,193,193,194,194,194,194,194,193,194,194,194,192,191,192,192,190,189,190,188,181,183,186,187,188,189,191,192,193,195,196,195,195,196,195,196,194,194,194,195,194,193,192,191,191,190,191,190,182,183,185,186,187,188,191,193,194,196,195,196,195,195,196,196,194,194,195,196,195,194,193,192,191,190,192,191,182,185,186,187,188,190,193,193,195,197,195,196,189,182,191,193,180,179,192,195,194,194,192,193,193,192,192,192,182,185,187,188,190,192,193,194,192,175,183,205,180,145,141,193,163,126,159,197,193,182,161,195,195,194,194,194,184,186,188,189,190,193,193,199,196,168,138,191,190,156,112,196,166,129,109,158,170,184,134,180,195,195,195,195,185,187,189,189,192,193,193,212,211,188,142,133,194,151,114,198,165,127,83,128,144,187,164,141,179,195,195,195,187,187,189,191,194,195,200,204,203,194,144,100,183,154,122,201,165,116,108,150,123,183,185,161,139,167,196,196,187,189,191,192,194,194,211,192,184,182,126,100,177,145,126,190,151,96,123,152,104,172,203,178,139,106,195,196,188,190,192,194,193,195,216,196,178,166,111,112,166,128,117,168,137,86,124,151,112,199,210,174,124,101,194,197,189,190,192,194,194,207,211,186,171,156,118,117,149,115,103,150,125,78,129,145,141,199,187,152,97,144,199,198,190,192,194,195,194,221,213,177,141,141,112,108,148,114,94,153,114,98,160,156,168,172,151,120,89,186,200,200,190,193,194,196,195,223,211,186,156,112,77,110,166,120,102,174,164,174,167,157,136,146,123,91,126,199,201,201,191,193,194,196,198,223,205,188,171,145,104,97,125,107,109,196,196,180,160,147,115,114,106,78,168,202,201,200,191,193,194,197,205,226,207,189,174,161,127,96,113,140,191,208,196,172,152,135,105,94,90,83,193,203,201,201,192,193,195,196,210,227,211,192,178,170,142,113,121,176,210,207,188,162,141,120,94,84,74,138,203,203,201,202,193,194,195,197,209,226,215,195,180,172,149,120,131,191,214,201,181,153,130,105,84,74,97,196,203,203,202,201,193,194,196,199,204,226,217,200,184,169,150,124,157,195,205,191,176,145,116,91,77,75,172,205,205,205,202,202,192,195,197,199,203,227,216,203,188,167,149,140,178,191,185,180,164,132,100,80,68,145,204,207,205,205,205,205,194,195,198,197,207,227,219,212,189,167,158,164,188,170,170,166,148,117,87,70,115,201,207,207,207,207,207,207,194,196,197,194,219,225,221,218,192,174,164,171,181,155,161,150,128,98,77,87,193,208,210,208,208,207,207,207,195,196,196,198,223,216,216,211,182,170,169,168,157,151,151,137,112,85,80,174,208,209,208,208,208,207,206,206,194,195,192,207,207,193,201,194,170,166,166,156,147,144,130,117,91,76,160,205,208,210,207,208,207,206,206,206,193,193,191,212,193,172,172,168,160,159,158,145,135,131,113,95,81,144,200,209,209,209,208,208,206,206,206,206,194,184,202,208,176,164,156,147,147,164,155,122,126,122,96,76,144,199,208,211,210,210,209,208,208,207,207,207,190,184,217,202,163,147,148,133,140,162,137,110,124,108,77,122,197,209,209,210,210,210,209,209,209,208,208,207,179,205,216,199,158,135,138,124,141,150,125,109,113,87,85,183,207,210,211,210,210,210,209,209,209,209,209,207
0,160,162,165,167,169,171,172,174,174,175,175,175,175,175,175,175,176,174,174,174,174,173,173,173,173,173,170,169,162,163,166,168,170,172,174,175,176,176,177,177,178,177,176,177,176,176,176,176,175,174,174,174,174,174,172,171,162,164,167,169,171,174,175,176,176,177,178,179,180,178,179,180,179,178,178,177,176,175,175,175,173,173,173,172,165,166,169,171,173,175,176,177,177,179,180,181,181,184,180,180,181,182,179,177,176,178,177,175,176,175,174,174,166,168,170,171,175,177,178,178,181,184,183,178,176,163,179,182,153,152,182,182,179,177,179,178,177,176,175,175,167,170,171,173,176,177,179,179,183,171,172,204,174,122,120,188,150,90,149,176,171,162,143,183,178,177,176,176,169,171,172,175,177,178,180,181,192,159,121,188,192,149,104,187,161,116,74,95,138,178,106,173,183,178,179,177,168,171,174,176,178,179,178,187,207,190,141,125,200,153,105,184,164,119,68,120,137,181,129,120,186,178,181,179,169,172,175,176,179,181,180,200,199,198,169,96,167,160,97,181,172,109,90,147,107,173,161,109,134,185,180,180,170,173,175,177,178,180,185,201,156,190,159,78,130,165,99,178,163,90,91,143,76,144,176,146,95,138,191,179,173,175,177,178,180,177,197,204,149,181,132,71,130,144,89,151,137,80,84,133,84,172,198,158,91,111,191,179,174,176,177,179,181,180,204,198,163,174,117,71,126,118,78,118,117,77,82,119,101,196,190,151,78,150,189,181,175,176,178,181,181,186,213,184,140,145,134,77,107,111,72,109,109,57,126,137,152,190,170,116,85,186,184,183,176,177,180,183,182,187,220,199,163,116,100,59,118,134,74,127,119,105,166,157,159,172,136,81,127,197,183,184,176,178,181,184,182,192,219,196,175,144,98,75,106,113,70,107,170,188,170,158,131,131,110,67,167,193,186,185,177,179,182,184,182,199,220,193,178,162,132,94,95,120,133,178,201,187,163,148,120,95,88,74,187,190,188,187,178,180,182,186,183,202,220,196,178,163,146,101,97,136,183,209,202,181,152,138,107,84,61,117,200,187,189,189,179,181,183,186,183,198,219,201,180,168,159,119,107,132,194,207,200,171,142,123,94,69,70,186,193,189,190,190,180,182,183,187,183,194,217,204,184,169,163,135,109,140,203,208,186,157,128,105,83,55,145,199,189,191,190,190,180,183,184,188,186,191,216,206,189,169,157,137,109,152,200,197,168,147,118,92,59,105,202,191,192,190,191,191,180,182,185,188,187,191,216,202,188,171,151,131,115,167,184,168,158,137,107,73,63,181,196,194,194,193,192,192,181,183,185,188,186,191,218,200,191,172,145,128,134,169,151,148,142,118,93,53,143,204,193,195,195,194,193,192,180,183,183,188,181,204,221,204,202,174,148,136,149,162,134,138,121,102,60,107,202,196,198,196,196,195,194,192,181,184,187,185,186,222,214,205,200,169,147,142,151,142,130,127,111,77,84,194,201,198,197,196,196,195,194,193,180,183,188,181,203,216,195,197,192,157,139,146,139,127,122,110,84,74,177,202,199,197,197,197,196,196,194,194,180,182,184,175,213,202,175,166,168,145,135,142,128,118,110,91,70,154,201,196,198,197,197,197,196,195,195,194,179,185,178,181,217,192,165,144,140,124,138,143,108,107,104,63,121,201,198,198,199,199,198,197,196,196,195,194,181,185,171,203,215,181,148,141,128,108,142,131,92,106,81,74,181,200,198,198,199,199,198,197,196,196,196,196
15,118,126,134,142,146,148,152,158,165,169,173,176,180,182,185,187,190,193,195,196,198,200,200,201,201,202,203,203,118,127,135,143,147,149,153,161,166,170,174,177,181,184,187,189,192,194,196,198,200,201,202,202,203,204,205,204,120,129,137,144,148,150,155,162,166,171,175,179,182,186,188,191,193,196,198,199,201,202,203,205,205,206,207,207,122,130,138,145,150,152,157,164,168,173,177,180,183,187,190,192,195,197,200,201,202,204,205,207,207,207,208,209,122,131,140,147,150,153,159,164,171,175,178,182,186,189,192,194,196,198,201,202,204,206,208,209,209,209,210,210,123,132,142,148,152,154,160,166,173,177,181,185,188,190,194,197,198,200,202,204,206,207,209,210,211,211,211,212,124,134,142,168,179,165,165,168,175,178,183,186,190,192,195,199,200,202,204,207,208,209,210,211,212,212,213,214,126,135,141,211,203,182,178,173,179,183,183,183,187,192,197,199,201,204,206,208,209,212,212,213,214,214,215,215,127,136,145,184,193,179,176,169,185,187,185,180,170,175,186,192,197,205,208,209,211,213,215,215,216,216,217,217,128,137,147,156,163,159,156,154,172,177,178,178,172,181,178,180,185,193,199,193,197,207,214,215,217,219,219,219,131,138,148,156,159,160,164,165,171,170,166,166,171,180,177,171,169,181,197,192,181,172,186,216,219,218,220,221,131,140,151,157,159,162,170,175,181,184,180,175,174,172,167,160,158,178,190,199,183,167,158,174,216,221,220,222,132,142,152,158,161,164,172,178,182,187,190,193,197,194,186,175,181,191,189,194,186,173,175,164,165,213,223,224,133,143,153,160,163,165,173,178,183,188,191,195,199,201,204,226,219,200,165,170,202,173,186,181,158,156,215,225,134,144,154,161,164,167,173,180,185,189,193,202,202,180,182,208,213,184,141,141,204,170,188,187,176,146,153,217,135,145,155,162,165,168,175,181,186,191,193,219,196,169,171,217,225,187,154,154,185,181,191,184,172,152,131,145,137,147,156,163,165,168,176,181,187,192,195,211,182,165,174,221,225,183,157,159,161,167,179,169,155,152,139,128,139,149,157,164,165,169,176,182,188,194,198,201,198,172,181,212,204,171,159,167,167,167,173,160,139,145,144,140,138,149,158,165,166,170,176,184,189,194,199,200,240,230,167,144,144,143,159,173,175,178,180,164,145,146,145,141,139,149,159,166,168,171,178,185,190,195,200,201,236,244,187,114,76,59,72,104,157,175,176,162,156,151,137,128,140,150,160,167,169,173,179,185,191,196,201,203,230,243,187,119,91,73,53,46,95,153,156,148,134,117,101,87,141,151,161,166,169,174,180,186,192,196,201,205,224,244,175,124,132,124,99,72,60,100,107,96,80,71,65,57,142,152,161,166,168,174,180,186,192,197,203,207,217,246,185,145,167,156,145,134,93,78,73,71,67,64,62,57,141,152,160,165,167,173,178,185,191,196,201,206,212,248,203,139,183,166,154,122,85,75,73,72,68,65,63,61,140,151,160,165,167,173,179,187,192,197,201,204,207,239,215,134,214,212,164,105,76,71,72,72,69,66,65,62,140,152,161,165,169,174,181,188,193,199,202,207,208,233,202,133,218,225,175,96,73,71,71,72,69,67,67,68,141,152,162,166,169,174,182,189,194,200,203,208,211,220,167,183,223,227,190,100,82,77,73,70,69,68,68,67,141,153,163,168,171,175,182,188,195,200,203,208,212,215,210,219,224,226,223,126,93,82,76,70,69,69,68,65
16,93,95,99,104,113,123,129,136,141,144,145,147,151,156,160,164,166,168,169,171,173,174,176,177,178,179,180,182,93,95,100,105,114,124,131,137,142,144,145,148,153,157,159,163,166,169,171,172,174,175,177,178,180,180,180,182,94,96,101,105,115,125,132,138,143,144,146,150,154,158,160,164,166,169,171,173,174,176,178,179,180,181,182,183,94,97,101,105,117,126,133,138,143,146,149,152,155,158,162,165,168,170,171,173,175,178,179,180,181,182,182,183,94,98,101,106,118,128,135,140,145,147,150,152,157,160,161,164,169,172,173,175,178,179,181,181,182,183,183,183,95,98,102,109,120,130,137,141,145,148,148,146,146,141,132,128,138,166,174,176,179,181,182,182,184,185,185,185,97,99,103,111,121,130,136,144,151,145,133,122,113,102,95,96,94,113,162,180,181,182,184,185,186,186,187,188,98,100,103,111,121,132,147,158,151,130,106,101,98,88,82,89,95,84,105,166,183,183,186,188,188,188,189,189,98,101,104,111,125,151,161,142,120,100,85,93,93,84,80,88,92,83,88,108,177,185,188,189,189,190,191,190,98,101,102,129,150,145,118,104,95,84,82,95,93,83,85,90,90,86,95,81,131,189,189,190,190,191,192,192,97,106,136,158,131,105,86,86,87,79,89,98,90,84,92,91,84,92,96,86,87,172,190,190,193,194,195,195,102,169,176,131,99,83,76,81,106,125,100,82,67,83,97,87,71,95,95,85,74,123,191,194,194,195,195,196,122,195,150,111,87,78,98,132,184,181,116,68,64,69,86,73,63,102,94,83,78,77,151,194,195,195,196,197,107,156,123,95,99,141,191,194,203,181,130,81,70,66,56,42,69,108,92,93,91,85,92,160,197,197,197,199,99,109,107,107,176,197,203,195,203,173,133,95,78,67,35,23,72,107,91,100,103,99,89,103,189,199,199,199,101,102,106,130,200,192,204,198,197,159,121,97,90,81,67,31,59,98,91,102,108,97,84,77,160,202,200,200,101,104,105,149,210,193,208,199,180,136,99,97,99,92,83,62,44,82,101,135,126,96,80,69,126,204,201,202,102,103,105,173,213,191,206,193,158,115,100,105,107,101,88,74,46,62,140,174,172,152,119,76,126,205,203,203,103,104,106,179,213,187,182,167,119,92,93,109,106,95,88,79,70,66,162,193,196,193,183,147,154,200,204,205,102,103,107,159,213,177,133,118,87,81,88,93,89,81,77,75,84,77,159,200,200,202,202,183,146,164,205,206,102,104,109,133,182,131,97,89,86,92,95,88,75,70,73,69,73,72,134,201,196,198,196,172,133,124,203,206,102,104,111,123,142,107,88,97,92,85,79,75,67,63,64,64,76,91,105,159,178,184,182,157,121,145,206,208,104,105,112,124,134,129,92,86,76,88,96,100,91,72,63,77,88,94,88,82,102,146,163,149,158,198,209,209,104,105,112,125,138,125,84,78,71,79,128,111,89,77,64,54,54,48,45,41,33,106,200,201,208,211,210,210,103,105,113,125,136,109,82,75,74,64,50,61,46,34,24,19,19,20,19,19,15,87,208,210,210,210,210,211,103,105,113,127,127,95,79,72,69,73,36,16,30,29,22,15,15,16,16,16,21,151,211,209,210,210,212,213,102,105,113,126,112,86,76,69,66,68,57,11,21,29,22,16,15,15,16,13,48,192,209,210,212,213,213,214,102,105,113,123,95,79,74,67,64,67,66,16,12,25,21,17,15,14,15,11,90,212,210,210,213,214,214,214
11,150,153,155,158,160,163,165,166,166,167,167,166,166,167,167,167,166,166,165,163,163,162,161,160,157,155,154,153,152,154,158,161,162,164,166,167,168,168,168,169,167,170,170,167,167,167,166,166,164,163,161,160,160,158,156,157,154,157,159,162,163,166,168,170,171,170,171,170,176,149,161,172,168,168,167,166,165,165,164,162,161,159,160,138,157,159,162,165,166,169,170,172,173,173,174,167,196,141,128,179,169,170,169,167,167,168,165,163,162,162,162,81,159,163,164,167,170,172,173,174,176,176,177,169,205,150,114,182,171,173,173,171,170,169,167,166,163,170,129,55,161,166,167,170,173,174,174,177,178,178,178,172,213,140,111,184,174,175,174,173,172,172,169,167,165,172,97,59,164,166,169,174,175,177,178,180,181,184,177,184,233,130,124,187,176,177,176,175,173,172,172,170,171,167,82,64,166,170,174,175,178,179,181,180,182,175,190,179,209,127,138,191,179,180,179,177,177,175,174,174,173,173,106,75,168,173,176,177,180,183,178,203,193,118,173,150,105,149,113,170,187,182,182,180,180,177,178,176,173,181,129,76,171,174,177,179,183,179,202,226,202,159,102,131,94,116,98,143,195,182,183,183,182,179,180,180,177,181,152,74,172,176,179,182,182,196,238,185,190,189,116,105,101,126,107,149,195,185,186,185,184,184,182,180,180,179,179,95,174,179,181,182,189,231,211,145,141,184,115,96,94,128,108,153,197,187,188,187,187,187,184,183,182,180,183,139,176,180,183,180,216,230,175,138,157,169,85,102,94,120,103,164,199,191,191,190,189,188,186,186,184,182,184,161,178,181,185,182,228,219,160,113,135,140,80,104,90,115,95,181,198,193,192,192,191,189,187,186,186,184,186,153,179,183,187,182,231,224,178,131,89,92,105,86,97,112,106,199,194,195,193,192,194,193,191,191,188,186,187,175,180,183,187,188,240,222,170,120,84,69,117,78,123,118,83,185,204,196,199,199,192,184,178,177,188,193,187,185,181,185,187,194,247,219,168,126,94,76,88,73,123,109,65,105,193,195,181,158,146,138,135,123,114,162,193,185,184,189,187,201,247,215,172,137,104,87,89,90,108,109,107,105,113,128,131,145,152,135,113,109,91,131,198,187,185,190,189,201,242,211,172,140,110,91,94,131,155,155,144,133,117,123,140,136,115,102,130,173,183,186,192,189,187,191,191,203,241,214,180,146,116,96,105,152,152,142,136,132,118,108,102,112,149,174,201,203,199,195,192,191,188,193,192,209,240,218,189,149,127,106,119,147,145,137,124,119,96,90,142,198,207,205,200,198,197,195,193,191,189,196,189,223,242,219,187,147,129,112,119,131,136,127,110,92,116,182,212,206,201,201,201,199,199,197,194,193,192,192,196,241,232,205,170,136,119,112,120,119,124,118,89,142,209,211,205,206,204,204,202,200,201,199,196,194,193,192,232,241,220,193,158,130,115,115,119,110,104,95,154,218,208,206,207,207,206,205,203,202,201,200,198,196,188,205,246,230,207,185,154,134,120,114,112,94,124,189,218,210,209,209,208,207,206,205,204,204,201,200,199,197,187,218,243,225,183,155,146,132,117,109,88,117,211,219,212,212,211,210,209,209,208,206,206,205,203,202,200,198,191,230,241,217,162,134,128,122,107,94,99,198,217,212,214,213,212,211,210,209,209,207,206,205,205,203,200,199,205,238,237,204,141,127,122,113,99,85,168,224,216,217,215,215,213,212,211,210,209,209,208,206,204,203,202,200
12,87,100,110,116,118,124,131,137,140,143,146,150,153,157,159,162,164,165,167,169,170,171,171,172,174,175,175,175,90,102,112,117,120,127,134,139,142,144,148,151,155,159,162,164,166,172,173,170,171,174,175,175,177,178,177,177,92,104,115,118,121,129,137,141,143,147,151,154,157,161,162,166,167,151,160,177,173,174,177,182,177,178,179,179,94,106,117,119,123,131,137,143,145,149,153,157,160,164,169,173,177,118,89,152,184,150,113,154,185,178,181,180,96,108,117,121,125,133,139,143,148,151,154,158,163,153,133,182,183,128,92,86,135,143,96,80,168,185,181,182,97,110,119,122,127,135,141,145,150,153,156,158,182,144,92,101,175,151,115,81,83,144,118,75,122,195,181,183,99,111,121,124,129,136,142,147,151,156,155,171,191,146,112,77,147,177,127,100,76,133,132,91,102,195,184,186,101,113,122,126,131,138,143,148,153,156,159,183,179,169,133,107,115,187,147,105,70,107,132,98,91,192,186,187,103,115,124,127,132,140,145,150,155,156,170,172,150,186,157,122,87,159,166,108,70,77,116,95,78,188,190,190,105,117,125,128,134,142,147,151,154,156,193,141,133,182,168,121,85,117,168,107,73,61,105,84,71,187,192,191,106,119,126,130,135,143,148,151,141,136,159,135,121,156,164,130,94,80,145,102,73,58,91,81,75,189,192,192,108,120,127,130,136,141,157,171,160,156,153,127,85,71,150,128,83,55,120,107,75,57,84,82,81,194,193,193,110,120,127,130,137,141,166,190,182,185,174,106,74,32,107,105,69,44,89,122,104,62,96,96,95,202,192,194,111,123,128,132,139,140,173,186,152,154,140,84,74,39,64,92,78,34,61,152,123,72,100,113,69,172,200,194,112,124,129,133,140,143,169,171,138,116,135,105,80,47,35,92,86,47,85,146,130,78,80,104,52,132,207,194,114,125,130,134,140,146,162,149,122,89,116,132,77,58,33,66,68,86,142,139,122,77,66,78,62,152,205,195,113,124,130,133,141,145,161,167,141,110,91,132,81,66,49,54,87,135,152,143,126,103,83,72,86,192,200,203,114,124,129,132,139,145,164,169,141,117,94,112,89,67,53,63,124,149,151,150,140,115,91,61,137,213,194,177,116,125,129,132,141,145,166,165,152,141,101,87,103,89,72,80,155,157,155,161,136,107,82,76,188,174,163,129,116,125,130,133,142,147,164,164,160,148,97,97,124,108,82,97,166,163,169,154,116,98,75,104,184,102,107,160,116,125,130,134,142,148,160,159,154,152,98,110,123,102,106,147,172,171,164,133,101,88,74,100,101,116,91,106,115,125,129,134,141,148,154,150,155,146,107,116,124,106,137,156,173,165,147,114,88,76,89,139,100,129,100,93,116,125,129,134,142,150,157,156,160,142,113,120,125,105,138,144,162,155,133,100,82,66,118,169,111,84,132,171,96,100,103,105,109,113,116,134,155,140,121,125,121,106,131,146,145,138,111,85,69,94,104,108,110,100,139,129,92,93,92,93,95,95,90,102,156,142,126,123,116,111,118,138,132,107,86,73,72,105,163,131,124,130,103,124,96,95,97,99,100,101,103,99,153,159,136,120,117,116,114,128,119,89,74,75,142,159,202,181,182,148,127,169,96,96,96,98,99,99,101,97,140,149,133,116,110,106,107,116,103,83,61,101,200,175,152,155,161,134,106,116,96,97,98,100,101,100,102,99,143,146,103,92,92,93,101,101,85,73,56,93,195,161,160,173,195,167,122,99
1,38,63,67,75,85,103,115,125,130,134,137,138,142,147,151,151,153,159,157,158,160,162,161,163,164,164,165,165,44,63,67,76,86,107,117,125,131,135,139,141,143,148,148,165,136,121,165,162,160,163,164,165,165,165,165,165,50,63,70,77,88,108,119,126,132,136,140,143,147,151,152,179,122,87,144,140,166,164,166,166,166,166,166,166,54,64,71,79,91,111,119,127,133,138,141,143,147,158,137,172,120,108,137,98,168,165,166,168,168,168,167,167,57,64,72,80,93,113,122,129,134,139,143,144,150,170,114,164,116,119,151,94,160,168,168,169,169,169,169,169,59,66,72,80,95,115,124,130,136,141,144,142,162,161,112,171,118,122,153,89,154,173,169,170,171,171,171,170,61,68,73,82,98,117,124,132,137,141,146,144,168,151,105,166,114,123,160,96,152,175,171,172,172,173,172,172,63,68,75,84,101,118,126,134,138,140,161,139,149,141,107,169,114,121,153,93,150,178,173,174,174,174,175,174,63,68,75,85,104,117,127,135,138,142,172,111,148,126,129,176,108,125,164,92,148,179,173,175,175,175,176,175,64,70,78,86,107,118,127,136,137,154,167,96,153,113,152,171,100,142,178,95,150,180,175,176,177,177,178,178,65,70,78,88,109,120,127,137,135,173,148,99,167,113,140,145,84,148,163,93,155,182,177,178,179,179,179,179,66,71,79,90,109,121,129,137,139,183,129,99,157,91,129,127,79,160,153,88,161,182,178,179,180,180,180,180,66,73,81,91,112,121,131,135,149,187,120,90,141,130,132,139,154,164,146,86,165,182,180,182,180,181,181,181,68,74,81,94,114,122,133,132,165,179,115,107,148,174,130,145,155,149,133,85,168,183,181,183,181,181,181,181,69,74,82,96,115,124,133,132,179,179,161,151,169,170,162,151,133,127,113,83,167,184,181,182,184,184,184,184,69,75,83,97,116,125,132,139,193,163,149,152,144,134,177,179,164,135,107,81,168,185,182,184,185,185,185,185,71,77,83,98,117,126,128,162,193,143,119,112,96,95,169,171,165,150,121,80,169,185,182,185,185,186,186,186,71,77,84,101,119,128,126,178,183,137,133,139,125,160,186,175,151,133,109,67,154,191,184,186,186,187,188,187,71,78,85,104,120,128,128,182,188,153,135,139,166,211,191,164,143,107,92,63,120,197,184,187,188,188,188,188,71,78,85,104,119,129,130,179,200,168,146,140,172,215,195,160,135,100,78,64,105,196,185,188,189,189,189,189,72,79,86,105,118,128,131,172,201,167,153,144,167,207,186,159,125,99,76,59,130,197,186,190,189,189,190,190,73,81,89,108,120,130,133,164,197,166,159,147,154,193,178,149,117,95,75,72,175,193,189,190,191,191,192,192,73,80,89,108,120,129,135,153,192,173,169,157,169,187,159,132,107,90,65,115,197,189,192,191,193,193,193,193,73,81,89,110,120,129,138,145,177,173,167,154,168,173,143,119,100,85,65,158,196,191,192,193,194,194,194,194,74,81,90,111,122,132,139,142,166,170,163,150,141,147,133,112,102,80,76,180,194,193,194,195,195,195,195,195,73,79,88,108,119,130,138,141,153,167,161,149,140,142,139,123,103,72,91,191,189,191,193,194,195,195,194,194,72,78,88,109,116,127,137,142,156,173,168,158,151,140,139,127,98,66,116,196,186,190,192,193,193,194,194,194,71,77,89,108,117,128,137,140,186,172,164,169,153,138,120,111,94,59,119,197,186,190,193,194,194,194,195,195
0,180,181,183,184,186,188,189,189,190,191,192,193,193,193,193,193,193,193,194,193,192,190,190,189,189,189,189,188,180,182,183,186,187,188,190,191,192,193,193,194,194,194,194,194,194,194,194,194,193,191,191,191,190,189,189,189,181,183,185,186,188,189,191,192,193,194,195,195,195,195,195,195,194,194,194,195,194,193,192,192,191,190,190,190,182,183,185,187,187,189,191,193,194,195,195,195,195,195,196,196,194,194,194,195,195,194,193,192,191,191,192,191,182,184,186,187,188,190,193,193,194,194,195,195,188,179,186,191,181,176,188,195,194,192,190,193,193,192,193,192,183,185,187,188,190,192,193,194,191,178,181,197,182,152,153,183,165,138,158,190,191,181,169,189,195,194,194,194,184,186,188,189,190,192,194,199,195,170,152,181,187,150,133,179,166,127,120,154,171,177,152,172,193,195,195,195,186,187,189,190,192,193,196,207,206,185,144,146,181,150,134,181,166,124,101,127,149,179,164,153,174,191,195,195,187,188,189,191,193,194,201,203,200,188,141,121,168,151,139,183,163,117,113,139,135,174,182,161,147,165,192,196,188,189,191,192,194,196,206,194,186,177,127,117,162,144,139,176,150,105,122,144,122,170,198,175,136,128,184,197,188,190,192,193,193,198,210,193,180,163,115,120,155,129,127,159,135,97,122,143,130,184,203,171,124,122,183,197,189,191,193,194,196,207,209,186,170,155,117,120,144,116,113,143,122,93,126,145,151,188,184,149,109,144,194,198,190,192,194,195,198,215,210,178,151,137,108,114,144,115,107,143,124,114,149,156,161,169,151,120,110,172,199,200,191,193,194,195,200,217,210,185,155,120,90,112,150,118,113,163,164,165,165,154,141,142,124,98,132,191,201,201,191,193,194,196,203,218,206,188,169,141,106,104,124,112,130,185,192,178,161,144,120,114,104,93,157,200,201,200,191,193,195,196,207,221,207,189,175,158,126,104,114,141,181,203,194,172,152,133,107,96,89,103,178,202,201,201,192,193,195,197,210,223,211,192,178,167,141,117,126,171,206,205,188,163,141,119,96,84,85,138,196,203,201,202,193,194,195,197,210,224,214,196,181,170,148,125,137,185,210,200,180,154,129,105,86,78,111,181,203,203,202,201,193,194,196,198,207,223,216,200,184,169,149,132,156,192,202,191,173,145,116,92,78,93,161,201,205,204,203,202,193,195,197,198,207,222,216,204,187,167,151,147,174,188,185,179,162,132,101,81,83,142,196,206,206,205,205,205,194,195,198,198,209,224,219,210,190,169,159,164,181,174,169,164,146,117,89,78,122,188,207,208,207,207,206,206,195,196,197,198,216,224,220,214,192,173,166,171,175,161,158,149,128,100,81,105,177,206,209,208,208,207,207,207,195,196,196,202,217,215,215,207,184,171,168,166,159,152,148,135,111,88,98,162,203,209,208,208,208,207,206,206,194,194,195,205,205,196,198,191,172,166,164,156,148,142,131,115,93,95,151,198,208,209,208,208,207,206,206,206,194,191,195,206,192,176,173,168,160,160,157,144,136,130,113,96,96,143,192,208,209,209,208,208,207,206,206,206,192,188,201,204,179,163,156,149,150,160,150,128,125,119,97,92,141,191,207,210,210,210,209,208,208,207,207,207,188,191,210,200,166,149,146,136,142,156,137,116,119,106,88,126,186,207,210,210,210,210,209,209,209,208,208,207,183,200,213,196,161,139,137,129,140,148,127,112,111,91,96,166,203,210,211,210,210,210,209,209,209,209,208,207
0,184,186,187,189,191,192,193,193,194,195,196,196,197,197,197,197,196,197,197,197,196,194,194,193,193,193,193,192,185,187,188,190,191,192,194,195,196,196,197,197,198,198,198,198,197,198,198,198,196,195,196,196,194,193,194,192,186,187,190,191,192,193,195,197,197,199,199,199,198,199,199,200,197,197,198,199,198,197,196,196,196,194,195,194,187,188,189,191,191,192,195,197,197,199,198,199,200,202,200,200,200,201,197,199,199,198,197,196,195,194,196,195,187,189,190,192,192,194,197,197,199,204,201,198,192,185,199,199,183,185,200,197,198,198,200,197,197,196,197,196,187,190,191,192,194,196,197,197,196,176,188,214,185,144,147,201,170,124,166,214,200,183,166,204,197,198,198,198,188,190,192,193,194,197,196,202,202,171,136,201,202,159,117,202,177,131,115,167,175,194,134,184,205,197,199,198,190,191,193,193,196,197,195,216,216,199,143,139,208,153,123,205,174,137,91,130,151,198,171,140,187,203,197,199,191,191,193,195,198,196,206,209,204,205,152,105,192,159,131,209,177,119,119,167,129,191,192,168,140,176,204,199,192,193,195,196,199,195,217,191,185,195,129,109,189,148,136,201,162,99,133,171,104,175,214,187,145,109,203,200,192,194,196,197,196,196,222,197,186,177,107,125,183,129,129,180,147,93,133,167,113,204,221,183,130,106,202,200,193,194,196,199,196,211,216,186,181,173,119,127,165,117,113,161,136,82,137,154,149,209,194,165,97,150,212,199,194,196,198,199,196,224,218,179,145,155,119,114,165,119,103,167,119,103,172,163,177,180,158,129,95,195,206,203,194,197,197,200,198,225,216,192,164,121,78,121,190,125,108,185,170,185,176,164,142,157,136,93,135,213,202,204,195,197,198,199,202,226,207,192,180,156,112,109,139,107,114,207,204,185,166,157,123,123,123,82,174,212,203,202,195,197,199,198,208,230,209,192,180,171,137,104,119,145,201,214,200,177,159,146,115,106,103,89,202,208,203,204,196,197,199,197,212,231,214,195,182,179,150,124,129,184,219,210,193,168,149,131,105,101,77,145,216,204,204,205,197,198,200,198,212,230,218,199,184,179,159,129,134,197,221,204,186,161,139,116,99,82,102,210,206,206,205,204,197,198,199,200,207,229,219,203,188,175,159,129,161,203,210,195,183,153,126,104,90,78,184,213,207,208,205,205,196,198,201,201,206,229,217,206,192,173,156,144,186,199,187,187,173,142,110,96,70,154,218,208,208,208,208,208,198,198,203,199,209,230,220,216,193,172,164,170,197,176,172,173,157,127,103,74,121,217,209,210,210,209,209,209,198,199,202,195,221,229,222,222,197,179,170,178,188,160,168,159,138,112,85,91,208,213,211,211,210,210,209,209,199,200,198,201,228,217,219,216,186,176,175,175,162,159,160,147,126,96,83,186,217,210,210,211,210,210,209,209,197,199,195,211,210,194,206,200,173,173,174,162,155,153,139,130,102,78,170,217,208,212,210,210,210,209,208,208,198,195,193,217,197,176,177,175,166,165,166,153,144,141,125,107,83,154,212,210,212,212,210,210,209,208,208,208,201,185,205,215,180,170,162,154,153,174,164,129,135,135,109,77,152,213,210,213,212,212,212,211,210,209,209,210,193,186,224,207,166,153,159,139,147,174,145,117,137,123,82,129,211,212,211,212,212,212,212,211,211,210,210,210,180,208,221,203,163,141,148,131,149,161,132,119,127,95,94,197,211,212,213,213,212,212,211,211,212,211,211,210
10,123,124,124,124,125,126,126,127,126,125,125,126,126,124,123,122,120,120,117,118,117,114,113,113,112,110,108,108,128,129,129,130,130,130,129,131,130,129,129,129,128,128,126,124,123,122,124,114,113,117,115,113,112,112,110,109,134,133,134,136,136,136,136,136,135,135,134,133,132,131,130,127,127,121,148,113,75,123,116,115,114,114,113,111,138,139,138,140,141,140,140,139,140,139,138,138,137,135,133,131,131,126,154,121,61,120,120,118,117,115,114,113,144,144,144,144,144,145,144,143,144,144,143,142,142,140,137,136,136,131,156,120,60,119,126,121,120,118,116,115,148,148,149,148,150,150,148,148,149,149,148,147,145,144,142,140,140,137,157,110,55,121,131,125,123,122,120,118,153,153,152,153,154,154,153,153,154,154,153,151,150,148,147,145,144,141,163,125,60,123,136,129,127,126,123,120,157,158,158,158,158,159,158,158,158,159,158,156,154,152,151,150,147,148,170,119,94,127,138,133,131,129,126,123,160,160,161,162,162,163,162,161,162,163,161,160,159,157,155,154,150,163,165,142,121,88,147,136,134,132,129,127,163,163,164,166,166,165,165,165,165,166,165,164,163,161,159,158,151,138,143,162,111,54,149,140,137,135,133,131,166,167,167,169,168,167,168,168,168,168,167,167,165,165,164,163,161,136,112,125,126,44,101,156,140,140,136,134,170,170,169,170,170,171,171,170,171,172,170,169,168,168,163,158,176,173,135,92,82,75,40,133,150,143,139,139,172,172,173,174,175,175,174,174,175,175,175,175,176,172,142,108,101,144,153,147,99,64,45,81,160,143,143,143,175,175,176,176,176,176,177,177,176,177,177,157,130,159,162,128,65,23,138,157,82,41,33,82,162,147,147,145,178,178,179,179,180,179,178,179,179,177,176,157,116,101,177,156,105,12,22,68,75,53,28,95,166,150,150,148,180,181,180,181,182,181,181,181,182,179,174,174,160,108,135,178,121,59,10,21,133,97,32,103,168,154,152,149,181,182,182,182,183,182,182,183,182,180,147,138,167,132,84,157,132,75,24,51,133,129,43,101,172,156,155,152,183,184,184,183,185,184,185,186,183,181,160,98,120,125,37,98,142,68,31,64,122,129,42,93,172,157,156,154,185,185,186,187,187,187,187,187,186,174,148,103,80,105,50,59,145,114,53,74,120,90,32,107,173,158,158,155,187,188,188,188,188,189,188,189,185,177,172,147,86,93,92,58,127,154,84,62,103,58,33,144,170,161,160,157,188,189,188,189,190,190,189,190,187,180,188,157,114,92,89,75,135,136,68,50,87,47,53,172,165,163,162,160,189,190,189,189,190,190,190,191,191,177,188,173,137,105,98,121,183,163,103,77,79,38,90,183,166,165,163,161,191,192,191,191,193,193,194,194,195,178,174,174,149,120,111,132,180,176,145,103,75,31,126,182,168,167,164,162,192,192,193,193,193,195,196,195,197,182,164,171,156,144,125,131,174,166,127,88,63,39,162,177,170,168,166,163,191,191,191,192,193,194,195,194,196,193,163,162,165,161,132,120,161,144,111,78,38,71,185,173,173,169,167,165,190,192,192,192,193,195,195,195,195,198,173,147,160,151,131,106,132,123,91,65,20,126,185,170,171,168,166,164,192,193,194,195,194,196,196,197,196,197,192,158,154,143,126,105,111,123,90,45,53,177,175,172,170,168,166,168,193,194,195,195,195,196,197,197,198,197,193,174,155,136,127,116,105,119,85,30,120,190,174,174,171,168,170,129
15,142,118,128,88,75,143,16,2,51,48,49,52,56,60,74,90,103,113,119,123,130,136,141,145,149,152,155,159,140,123,135,80,92,141,3,13,52,48,50,54,58,61,77,92,106,117,121,126,133,140,145,148,152,155,158,162,139,125,138,71,107,133,0,24,53,48,53,57,58,63,79,94,109,119,123,128,136,143,148,153,155,159,162,164,137,128,137,64,123,121,0,32,51,48,49,52,54,62,83,99,112,121,125,129,139,147,151,155,159,163,166,168,133,129,135,60,139,103,0,47,59,61,72,82,85,68,80,95,113,126,130,134,143,149,160,165,162,165,170,172,132,142,129,91,120,105,87,91,88,96,100,94,83,78,77,78,85,95,105,112,110,101,108,142,173,175,172,176,139,148,111,97,101,94,91,76,77,78,73,70,70,85,87,85,84,82,81,96,100,89,76,59,91,156,187,183,141,126,87,84,79,79,73,67,72,73,74,71,76,90,91,87,80,75,79,94,98,95,89,70,51,53,112,177,142,144,102,74,91,61,58,62,67,71,71,71,82,91,88,82,77,76,90,94,87,92,85,75,71,62,45,65,145,155,95,97,166,19,11,59,50,53,56,59,65,79,94,111,93,87,88,89,92,92,86,77,76,81,67,50,147,158,84,113,160,3,15,60,50,52,56,58,58,72,101,154,128,104,96,88,80,88,80,82,78,97,79,62,147,158,78,129,149,0,25,60,51,52,56,57,61,71,135,139,111,79,71,80,59,59,77,85,88,109,88,72,150,156,72,143,135,0,34,59,49,52,55,59,57,93,157,115,99,68,24,36,23,14,103,109,109,104,81,78,152,153,70,156,121,0,42,57,51,53,55,58,59,145,141,100,82,62,21,7,0,12,127,129,122,94,71,77,155,147,70,168,106,0,49,57,52,52,56,51,88,178,138,94,75,39,7,8,0,41,136,139,134,97,67,70,162,142,74,176,88,0,55,56,51,53,56,51,80,161,147,108,77,29,0,7,15,55,126,148,142,102,69,66,169,135,81,189,74,0,59,55,51,53,55,57,56,133,168,137,92,46,0,27,62,52,109,148,125,95,71,55,175,127,91,195,59,0,64,54,51,51,54,57,60,96,179,161,112,53,7,0,36,102,129,124,93,82,68,43,180,114,104,195,41,0,63,52,49,48,52,53,64,80,160,177,138,113,100,97,121,123,105,82,64,66,62,47,182,105,119,191,25,3,62,49,48,48,51,52,63,83,121,181,162,144,135,134,139,99,65,58,57,55,59,61,182,94,135,183,12,12,62,48,47,46,49,52,65,83,143,160,115,105,108,132,136,86,50,51,42,49,58,50,179,90,152,173,0,19,60,46,45,45,49,52,61,97,176,122,103,107,103,126,130,89,52,46,113,92,29,29,175,83,166,158,0,28,57,41,39,39,41,44,52,105,161,111,96,92,87,110,115,92,46,77,222,111,32,31,170,85,172,153,100,94,103,94,89,85,82,84,87,104,132,112,108,122,86,62,99,98,62,92,212,112,41,34,161,88,177,157,112,72,91,89,89,88,93,97,95,89,85,95,93,146,141,67,65,105,84,97,120,83,48,40,155,91,182,153,106,76,91,89,90,90,91,91,94,94,95,98,91,101,162,117,73,100,100,99,100,76,36,35,146,100,186,149,105,83,91,92,94,94,93,96,97,97,100,99,98,96,111,118,95,102,102,101,105,77,32,8,135,109,185,147,105,85,93,91,92,93,93,96,96,97,100,99,99,101,99,98,100,100,101,100,103,76,43,22
16,95,96,100,103,111,119,124,130,134,136,137,139,142,146,149,153,154,155,156,158,160,161,162,164,164,164,166,167,95,97,100,104,112,120,126,131,135,137,137,139,144,147,149,151,154,157,158,159,160,161,163,164,165,165,166,167,95,97,101,104,113,121,127,132,136,136,138,141,144,148,149,153,154,157,159,160,160,162,164,165,166,166,167,168,96,99,101,104,114,121,127,132,136,138,140,143,145,147,151,153,155,157,158,160,162,164,165,166,166,167,168,168,96,99,101,105,115,124,129,134,137,139,141,143,148,152,152,156,160,159,159,162,164,165,167,167,167,168,168,168,96,99,102,107,117,125,132,133,137,140,140,139,140,136,127,121,131,160,162,161,165,167,168,167,169,170,170,170,98,100,103,109,118,125,128,135,143,139,129,118,109,99,93,96,90,106,159,167,165,168,169,170,171,171,171,172,98,101,102,110,117,124,138,152,146,127,104,101,99,90,84,92,99,82,98,162,170,167,171,173,173,172,173,173,98,102,105,107,117,145,158,136,115,99,85,95,96,87,83,91,95,87,87,100,172,169,172,173,173,173,174,174,99,102,96,123,147,142,112,101,97,87,84,98,96,85,87,94,93,87,102,76,125,180,171,174,174,175,176,175,98,97,130,157,126,101,87,90,89,76,92,103,94,87,94,95,86,94,100,89,80,167,174,173,176,178,178,178,94,163,174,122,97,87,79,78,101,124,99,86,69,88,101,92,72,98,98,89,73,118,185,175,178,178,178,178,116,193,138,109,88,75,92,123,178,177,111,68,71,73,94,80,65,106,95,85,83,70,146,184,176,178,179,179,102,151,118,93,91,133,186,182,187,167,126,82,77,73,65,49,73,112,92,95,95,88,83,154,183,178,180,181,98,105,107,99,171,187,185,176,186,161,128,95,82,76,42,30,80,111,91,102,104,104,90,94,182,181,181,181,102,102,104,123,190,171,185,180,183,150,117,97,93,85,78,37,66,104,91,100,108,98,91,73,153,188,181,182,101,105,100,139,197,172,191,182,168,129,94,97,100,94,89,71,49,89,97,133,121,91,82,68,118,193,181,183,102,104,98,162,199,170,190,179,150,111,100,105,107,103,90,82,52,62,138,165,161,145,116,66,118,194,182,184,103,106,99,170,198,167,169,161,114,91,94,111,107,96,92,84,77,65,158,179,179,179,176,137,144,190,184,186,102,104,101,149,203,166,123,115,85,83,90,94,91,85,81,79,92,77,152,185,181,183,186,175,133,151,191,186,102,103,106,124,176,122,95,88,88,96,100,93,79,76,80,74,79,69,127,194,176,181,181,161,126,108,190,186,102,103,109,118,136,101,87,101,97,86,80,77,71,68,70,68,80,95,100,154,170,170,169,149,106,132,193,187,103,104,110,120,129,129,93,91,77,93,95,101,96,77,68,86,95,101,93,80,100,141,151,133,144,187,190,189,103,104,110,120,134,125,83,83,75,80,140,115,93,86,74,64,63,56,54,54,33,102,193,183,193,192,189,190,102,104,110,120,133,108,85,79,82,69,51,71,53,43,35,32,32,34,33,36,24,80,200,188,189,190,190,191,102,105,110,124,125,94,84,77,74,85,46,25,46,43,37,31,31,32,33,34,25,150,198,187,190,190,192,193,102,104,110,124,111,87,81,75,73,75,70,23,37,45,37,32,31,31,33,27,49,188,189,189,192,192,193,193,102,104,111,122,94,82,79,74,70,73,78,30,26,40,36,33,31,31,34,19,93,204,187,190,192,193,193,194
0,169,170,172,174,174,178,179,179,180,181,182,184,187,186,185,186,186,187,188,188,186,187,188,187,188,187,186,186,169,171,174,176,178,179,180,181,181,183,183,185,186,187,187,186,188,188,188,188,188,187,187,188,188,188,187,188,169,171,174,178,179,180,182,181,184,186,185,187,187,185,185,189,188,186,188,190,189,190,191,191,190,190,191,189,171,173,175,177,178,180,182,184,185,186,186,187,191,189,196,188,188,192,203,190,185,212,179,183,195,193,191,190,172,175,177,178,180,182,184,186,186,193,212,189,171,214,215,178,154,203,219,186,160,211,177,157,200,192,193,192,174,176,178,179,181,185,183,188,183,219,225,197,143,184,212,183,140,155,213,191,146,180,198,143,190,197,193,194,175,178,180,181,184,182,204,207,174,220,217,205,157,156,212,192,157,139,217,193,141,139,201,160,150,186,197,194,176,178,180,184,183,195,230,211,170,195,225,203,176,157,211,195,157,153,220,184,141,101,180,185,158,144,176,199,178,180,181,184,180,215,231,216,187,177,225,200,180,151,215,205,148,157,217,166,133,66,138,194,181,134,143,206,179,181,183,183,186,226,230,226,200,165,216,204,175,148,221,206,137,130,190,149,110,61,159,207,189,139,151,208,181,181,184,180,198,221,208,228,208,158,200,206,166,141,211,192,135,97,146,140,87,82,206,208,194,136,175,207,182,183,187,179,216,222,201,213,182,132,174,192,155,125,166,163,130,89,143,134,79,154,216,203,169,129,198,204,183,186,184,190,228,219,183,192,148,102,144,168,145,108,121,148,104,88,167,168,174,203,202,185,139,141,210,201,183,186,180,208,231,213,176,174,155,114,129,164,150,93,100,139,117,178,215,212,201,182,177,155,130,157,211,203,186,190,184,201,231,224,204,169,153,129,120,180,156,81,89,170,215,227,217,206,190,167,149,142,118,171,212,205,188,192,188,199,231,228,214,192,164,148,151,177,152,133,194,230,229,219,211,199,177,153,139,130,128,203,208,207,188,191,187,205,231,230,220,205,193,167,170,184,201,226,231,228,225,213,197,181,160,140,129,122,188,212,208,208,187,190,187,206,231,230,228,216,207,190,181,204,219,230,228,227,219,205,183,161,141,132,113,168,214,206,211,209,188,190,189,202,231,230,230,223,214,203,194,203,217,231,228,220,212,193,171,145,132,116,138,214,209,210,210,210,188,191,192,200,231,229,230,225,212,201,195,197,209,223,218,206,196,180,151,135,118,119,200,214,210,212,211,210,189,191,194,195,227,230,228,219,205,190,189,194,200,206,200,188,170,158,137,119,110,191,218,210,211,212,211,211,191,195,198,197,220,231,228,219,205,189,190,198,200,201,187,170,147,133,115,92,173,221,210,212,213,212,212,213,189,186,186,176,187,199,182,174,167,161,171,183,180,177,158,146,130,111,89,159,220,211,214,213,213,214,214,213,148,134,133,127,116,111,109,99,91,82,82,79,71,70,68,70,77,75,96,203,221,212,213,214,215,214,214,213,125,127,124,117,115,113,104,94,88,76,69,58,51,51,47,45,43,48,54,64,158,224,212,215,216,215,215,215,131,129,128,121,117,110,102,94,85,74,69,60,55,53,50,48,46,48,52,28,112,231,212,216,215,216,216,216,151,127,129,121,120,108,100,91,78,73,67,61,53,51,49,45,45,44,46,43,195,221,215,218,216,216,216,216,165,130,125,123,118,108,97,89,80,71,63,60,54,52,49,45,43,46,34,103,231,213,216,216,218,218,218,218
2,142,144,147,151,153,154,156,158,161,161,163,164,166,167,167,170,167,172,173,174,176,175,175,177,176,176,177,177,142,145,148,151,154,155,157,159,161,162,164,165,167,166,170,169,131,151,167,172,145,161,181,175,178,178,177,178,143,144,150,152,154,156,158,159,161,163,164,165,164,170,171,145,109,117,156,156,116,131,170,177,177,178,178,178,143,146,150,152,155,156,159,161,163,164,163,167,174,169,142,116,101,111,132,133,127,128,118,169,179,177,178,178,145,147,150,153,156,157,160,162,165,165,167,182,180,148,109,102,104,112,111,124,132,131,99,137,184,178,178,179,145,148,151,154,157,159,160,163,165,164,179,185,159,121,93,92,101,114,111,124,125,120,115,165,183,179,180,180,147,149,152,155,158,159,161,164,163,171,189,156,120,96,88,82,100,123,132,120,137,149,170,184,181,182,181,182,146,149,153,155,158,160,162,164,162,186,175,128,99,96,96,94,116,119,121,160,183,183,184,181,182,183,182,183,146,150,153,156,159,161,164,160,179,185,151,118,94,97,96,106,104,129,169,184,180,180,182,182,183,183,183,183,147,150,154,157,159,162,162,167,189,164,127,95,91,91,102,110,122,186,181,180,181,182,183,184,184,184,184,183,148,150,154,157,161,163,162,188,182,146,114,97,100,92,105,104,153,184,179,181,182,183,184,184,184,184,185,185,149,153,154,158,163,160,180,201,177,140,116,106,104,100,98,124,181,180,181,182,182,183,185,185,184,185,187,186,150,153,156,159,161,160,201,192,162,134,109,103,101,105,106,168,183,180,182,183,184,184,185,187,186,187,188,187,150,153,156,160,160,173,209,185,153,125,105,101,100,102,127,185,181,182,182,183,183,185,186,186,186,187,187,188,151,154,156,161,158,194,203,175,147,117,102,101,103,101,156,184,181,183,183,183,185,187,187,189,190,188,189,187,151,155,159,159,169,210,194,168,142,114,101,102,102,95,169,184,181,183,183,185,186,187,188,178,165,156,167,191,150,155,160,156,193,209,185,159,134,109,99,103,103,97,134,188,183,182,183,187,191,183,165,159,155,131,140,193,151,156,157,166,209,196,175,155,131,108,99,101,104,111,107,145,184,187,187,186,171,164,164,156,137,151,186,190,151,157,152,188,208,187,171,147,125,106,97,101,107,116,125,116,128,157,164,158,151,157,166,131,159,196,190,190,152,154,158,207,199,186,163,140,123,107,94,104,114,125,135,133,124,140,150,163,167,161,139,132,192,189,189,191,152,150,183,208,189,178,156,141,126,107,95,115,130,142,147,142,137,150,160,160,150,142,144,179,193,190,190,190,152,156,204,196,189,175,156,144,126,107,100,128,142,146,151,148,139,148,147,136,154,177,191,191,190,191,190,190,146,179,208,192,187,174,155,142,125,108,106,137,144,144,150,152,125,123,148,177,192,192,190,189,190,191,191,191,152,205,200,189,184,169,149,137,125,109,110,140,142,139,151,132,131,167,189,189,188,189,190,190,191,191,191,191,181,208,190,186,182,159,137,128,117,106,120,135,142,138,135,149,186,191,188,188,188,189,189,190,192,191,191,191,203,194,184,176,171,151,133,123,112,111,123,127,137,129,160,188,185,186,188,188,189,189,189,190,192,192,191,191,194,188,179,168,170,139,124,121,114,119,109,120,150,172,187,184,186,188,188,188,190,190,190,191,191,192,191,191,190,185,174,163,172,134,116,122,121,112,128,169,181,185,184,186,184,186,188,188,190,190,190,191,193,192,191,191
4,81,89,104,116,122,128,132,136,139,142,144,146,149,151,154,157,159,160,162,162,164,165,165,167,167,167,167,168,83,91,106,118,124,130,133,137,141,143,145,148,149,152,155,157,158,161,163,164,165,166,166,168,169,168,169,169,84,93,108,118,124,130,134,139,142,144,145,148,150,154,161,155,145,151,159,153,159,168,169,169,171,171,171,172,85,93,110,119,125,130,135,140,143,146,158,159,147,149,183,161,118,92,138,122,102,162,171,170,172,172,172,172,86,96,112,120,127,132,136,140,148,152,151,172,167,127,139,150,106,71,102,112,82,131,173,172,173,174,174,173,86,98,114,121,128,133,137,141,173,168,146,129,134,111,97,133,96,67,115,114,77,117,174,173,174,175,175,175,87,100,115,122,129,134,139,149,185,181,156,127,87,84,88,153,107,79,141,107,64,126,175,175,176,177,177,178,88,102,116,123,130,134,138,167,168,150,149,107,74,71,81,142,120,142,145,113,71,140,175,176,177,178,179,179,89,104,117,123,130,135,137,176,150,132,144,88,62,76,62,107,137,155,136,131,109,134,175,178,178,179,180,181,91,105,118,124,131,137,140,188,161,141,134,95,53,102,125,138,140,134,126,147,132,116,146,179,181,181,181,181,93,109,119,126,131,136,147,189,154,128,118,91,42,105,131,123,117,99,125,157,152,139,111,150,181,181,182,183,94,111,120,126,132,136,156,180,142,115,96,69,44,50,78,87,82,79,121,149,162,148,121,101,163,183,184,184,96,112,120,127,133,136,175,187,153,126,109,85,60,50,59,66,103,160,163,160,154,139,127,101,118,183,184,185,97,112,120,128,133,136,190,185,155,140,115,87,71,70,102,144,172,184,170,157,140,114,111,97,118,185,185,187,97,113,121,128,134,138,200,188,170,147,115,97,85,98,154,180,189,188,171,148,127,101,92,90,155,184,187,187,98,114,122,128,134,140,208,193,173,143,117,109,93,132,174,182,189,183,162,137,115,95,83,108,183,186,187,188,100,115,122,129,135,139,204,193,169,143,126,124,112,152,175,179,183,174,151,126,108,88,80,156,187,187,188,189,103,116,123,130,137,141,202,191,167,153,147,136,133,161,173,179,172,157,137,116,100,84,108,183,187,188,189,190,103,117,123,130,136,141,191,190,178,168,157,140,142,163,170,170,155,140,124,106,91,82,160,188,188,189,190,191,105,116,122,131,137,140,178,193,188,175,157,137,127,150,157,154,140,126,113,97,83,116,185,189,189,190,192,192,107,117,122,131,138,142,164,193,180,169,153,132,119,136,144,141,127,114,102,90,86,170,188,191,191,192,192,193,108,118,123,131,138,143,154,189,170,155,143,124,124,134,144,139,123,107,95,81,137,187,189,191,192,193,193,193,110,117,124,132,139,144,149,181,158,147,138,128,139,130,131,132,114,98,85,95,179,189,190,191,193,194,194,194,110,118,126,133,139,145,150,182,160,154,144,146,148,131,119,121,107,91,78,143,187,189,189,191,194,194,195,195,110,118,127,133,140,145,178,177,172,159,150,148,138,125,110,110,101,88,76,170,189,189,190,193,194,194,195,196,112,118,127,134,138,162,186,176,155,155,154,145,129,119,103,100,92,83,72,171,190,189,192,194,195,195,195,196,113,118,127,134,143,190,182,183,162,117,141,136,122,113,92,90,87,79,73,172,189,191,193,194,195,195,196,197,114,119,128,135,164,190,179,179,186,147,96,115,117,107,84,87,84,76,69,169,188,193,193,195,196,196,196,197
21,161,163,165,166,167,167,167,168,169,168,169,173,170,170,170,170,169,169,169,170,169,168,167,167,166,165,165,164,164,166,170,170,170,170,170,171,172,173,170,151,173,173,173,173,172,172,173,173,173,172,170,169,168,167,167,166,168,169,172,173,174,174,173,174,174,176,182,119,153,182,174,177,176,175,175,175,174,174,173,172,172,171,170,169,171,172,174,174,176,176,177,178,178,178,187,123,135,188,178,180,181,180,177,178,176,176,175,174,174,174,172,171,174,175,177,178,179,179,180,181,180,182,189,124,120,189,182,173,145,172,184,180,181,179,178,178,177,177,175,173,177,178,180,181,183,184,184,184,184,183,194,142,115,187,185,172,124,131,193,182,183,182,181,180,181,179,178,177,180,182,184,185,186,186,186,186,188,184,201,174,116,177,192,170,129,117,191,187,186,185,184,183,182,181,179,178,182,184,186,186,187,187,188,189,190,186,203,181,115,162,198,169,131,113,184,193,188,187,186,186,184,184,183,181,184,186,188,189,189,190,191,191,191,187,206,193,129,150,201,177,153,120,180,195,190,190,190,189,187,187,186,184,187,189,189,191,191,192,193,192,192,192,184,179,156,138,203,174,152,120,176,198,192,192,191,190,190,189,187,186,190,192,191,191,193,193,194,195,194,199,180,141,137,133,200,170,162,119,175,202,194,193,192,192,192,191,190,188,190,192,193,194,195,196,195,197,194,211,202,159,101,111,199,177,178,132,178,203,196,195,195,195,194,192,192,191,191,194,195,196,197,197,198,198,198,211,209,161,127,157,159,148,159,139,145,206,197,198,197,196,196,195,194,192,194,195,197,198,197,200,201,199,194,181,196,165,119,142,132,145,139,141,125,183,205,199,199,198,197,197,195,194,196,197,199,200,200,202,202,203,187,130,154,183,107,73,118,133,109,173,144,147,210,199,202,200,199,198,197,196,197,199,201,202,202,203,202,206,197,152,113,186,139,85,97,86,145,203,174,129,193,205,201,201,201,200,199,197,198,200,201,202,202,203,207,197,193,181,111,171,164,87,106,161,148,190,184,128,147,213,201,202,202,201,201,200,200,201,202,203,204,205,206,211,181,174,122,103,110,75,105,191,184,172,151,119,111,202,205,202,202,201,201,201,201,202,202,204,206,206,205,201,165,162,123,92,82,94,145,195,197,170,127,109,112,201,207,204,203,202,202,201,201,203,203,206,208,208,204,200,194,149,144,125,97,135,191,204,189,165,129,102,131,215,206,206,205,203,202,202,202,204,205,207,207,209,205,210,184,166,154,142,108,164,210,200,191,163,126,92,169,218,206,207,206,205,204,203,203,205,206,207,208,210,208,210,196,178,143,183,169,204,214,207,191,147,115,97,199,213,209,208,207,207,205,204,204,206,207,208,208,210,210,206,206,168,165,182,192,218,223,215,177,133,99,121,217,209,210,209,209,207,206,206,204,207,207,208,210,210,211,196,198,182,179,166,186,209,217,201,157,126,93,156,223,211,211,210,210,208,208,206,205,206,207,208,209,209,211,193,192,188,181,166,180,197,194,172,134,112,97,198,218,213,212,211,210,209,210,210,203,205,206,208,208,208,213,204,184,182,177,175,166,171,175,146,115,92,146,222,213,213,212,212,210,209,207,198,204,206,208,208,209,209,211,213,185,180,176,180,159,158,164,133,103,99,204,215,214,213,212,212,211,210,208,141,205,206,208,208,210,210,211,215,191,175,164,165,152,149,153,128,89,126,220,213,214,214,214,210,215,184,153,119
8,153,157,160,164,166,169,171,173,174,176,178,179,179,180,180,180,180,179,179,178,177,177,176,174,174,173,172,171,154,159,162,165,167,170,172,175,177,179,180,180,181,182,182,182,181,181,181,181,180,179,178,177,176,175,173,172,155,160,164,166,170,171,174,178,178,181,182,183,183,184,184,184,183,183,183,183,182,181,180,179,178,177,176,176,156,161,165,169,172,174,176,178,181,183,184,185,186,186,186,186,185,185,185,185,185,183,182,181,180,179,179,177,159,163,166,170,173,175,183,168,164,186,186,186,187,187,187,187,187,187,187,187,186,185,184,183,182,181,180,179,160,165,169,172,175,177,192,162,127,182,188,189,189,189,189,189,189,189,189,188,187,186,186,186,185,184,182,181,162,167,171,173,176,177,193,169,112,168,190,190,191,191,191,191,191,191,190,189,189,187,187,187,186,185,183,182,163,166,170,174,177,179,191,182,111,154,192,192,193,193,192,193,193,192,193,191,191,191,189,188,187,186,186,186,164,167,172,176,179,181,186,183,117,138,194,194,194,194,195,194,194,192,193,193,193,192,191,191,189,188,187,186,166,169,173,177,181,184,186,197,147,124,191,196,194,180,174,193,193,168,161,192,193,194,192,193,192,190,188,186,166,170,174,178,181,184,186,202,163,113,175,197,210,192,154,166,205,169,126,155,162,163,189,193,193,192,190,190,167,171,174,178,181,186,187,198,172,129,150,198,225,218,172,128,196,179,165,130,125,122,143,195,194,193,192,192,169,172,176,180,183,188,189,197,197,156,143,189,218,227,191,124,160,179,177,162,144,138,119,172,193,193,193,192,170,174,178,181,185,190,192,194,203,160,152,181,192,215,195,131,128,169,147,181,186,187,168,125,173,196,193,192,172,176,180,183,187,190,193,194,204,187,173,194,191,192,195,137,105,147,107,154,183,193,177,119,149,199,195,195,173,177,181,185,188,191,194,195,212,213,170,168,180,168,193,155,103,119,99,117,164,193,179,120,142,201,197,196,174,178,182,186,189,192,194,195,212,200,148,146,154,142,178,193,129,97,92,110,179,208,189,123,138,201,197,196,174,179,184,187,190,192,196,197,210,208,168,143,135,131,148,163,128,106,90,119,187,214,189,124,137,202,199,199,174,179,184,188,191,193,196,198,214,222,187,149,134,132,127,158,163,128,113,163,194,212,180,119,124,201,200,200,175,180,185,189,192,193,197,198,219,222,192,160,130,119,129,182,193,175,181,197,189,187,154,108,111,199,201,200,177,182,186,189,193,194,198,199,221,222,198,175,148,121,131,180,206,221,215,198,174,151,126,96,131,202,201,201,178,182,187,190,194,196,199,200,224,223,201,184,163,132,129,176,223,230,219,193,160,125,103,91,175,204,202,201,178,183,187,192,195,198,200,200,221,224,207,188,175,145,143,186,227,225,205,180,146,107,82,129,203,204,203,202,178,183,187,191,194,197,200,202,216,227,214,197,186,157,148,199,222,207,182,157,126,93,88,183,206,205,204,202,177,181,186,189,192,196,200,201,209,226,218,201,190,166,150,198,210,189,164,136,109,81,134,204,204,204,203,201,178,182,187,190,193,197,200,201,207,227,221,202,184,157,146,188,190,173,155,124,95,92,188,206,205,203,203,202,179,182,187,192,194,197,200,202,208,229,215,193,169,142,146,179,166,152,143,115,82,147,208,206,206,205,204,203,179,184,188,192,194,196,200,200,210,229,209,187,156,146,153,171,153,138,129,99,105,198,208,206,206,205,205,203
14,165,169,172,174,177,179,180,182,184,185,187,188,190,191,190,191,193,194,195,196,197,197,197,198,198,198,199,199,166,169,172,175,177,180,181,183,185,186,188,189,192,192,194,195,196,197,196,197,197,198,199,199,199,199,200,200,167,170,174,177,178,180,182,184,186,186,187,188,189,195,177,175,186,187,197,200,201,199,199,200,200,199,201,201,168,170,174,177,179,181,183,186,186,186,192,194,195,188,146,138,175,179,192,175,184,204,200,200,200,199,201,202,168,171,174,177,179,182,184,185,186,200,202,188,171,156,142,134,165,183,175,135,160,210,200,203,203,203,203,203,169,173,175,179,180,183,183,188,211,211,185,141,125,130,141,139,148,155,152,127,127,197,204,203,204,204,204,204,170,173,177,180,182,183,183,215,215,187,156,120,103,109,126,137,159,153,158,163,144,170,201,204,205,205,204,204,170,173,177,180,183,181,191,224,182,141,116,122,115,127,135,112,128,146,151,173,180,156,165,211,204,205,205,205,172,175,178,181,184,180,211,213,158,117,112,121,116,141,133,118,134,146,156,148,153,131,135,209,206,205,206,206,172,176,179,181,182,186,224,193,150,111,109,109,111,126,116,137,151,121,153,167,160,151,142,162,210,208,206,207,172,176,178,181,179,201,221,174,126,107,115,120,119,110,113,143,141,131,199,211,201,174,157,139,176,202,208,206,173,177,179,183,181,217,200,156,128,125,120,125,123,124,127,120,132,191,209,205,208,208,180,176,150,193,212,207,173,178,180,180,194,226,192,158,143,125,120,122,122,129,134,115,176,213,204,205,210,196,186,174,147,209,208,209,173,178,182,179,215,224,187,155,134,122,118,118,121,129,124,139,208,205,207,207,208,187,188,149,169,216,207,209,173,178,182,180,221,213,180,155,126,117,116,119,125,127,114,156,213,203,207,210,204,181,183,134,172,218,209,210,174,179,182,181,225,211,174,143,119,117,119,122,127,119,112,141,209,209,209,208,175,177,179,138,158,218,208,210,174,179,180,188,229,201,174,145,123,118,122,125,128,127,133,137,166,201,202,186,184,185,176,136,167,218,209,210,175,180,178,198,230,198,172,144,124,117,120,130,132,140,151,159,152,149,169,186,193,188,156,157,210,211,210,210,175,180,176,208,227,195,171,143,126,119,121,129,138,148,159,167,169,160,186,190,189,165,160,211,213,210,210,210,175,180,177,216,221,194,171,148,130,121,123,133,149,160,170,170,171,167,180,186,160,159,210,214,212,213,211,211,175,180,179,222,214,192,171,151,135,123,123,140,163,172,179,178,171,167,164,158,148,208,214,212,213,213,212,211,175,179,183,222,207,190,169,154,138,125,123,147,175,178,177,177,174,166,137,140,202,213,210,213,213,213,213,213,176,179,189,219,200,185,172,158,140,127,124,154,179,175,175,174,175,147,145,203,215,210,212,213,213,213,213,213,177,177,194,217,195,186,177,160,145,131,128,153,179,174,163,170,155,145,208,215,211,213,213,214,214,214,213,213,177,176,203,218,196,192,180,161,147,138,127,145,170,165,155,156,142,198,216,211,213,213,213,214,214,214,213,213,176,176,216,218,201,196,179,161,147,136,126,138,157,151,155,133,188,215,210,213,213,213,213,214,214,214,214,214,176,182,226,213,206,195,169,153,142,130,128,138,143,138,149,186,215,209,212,214,214,214,214,214,214,214,214,214,172,197,226,204,203,185,155,145,136,128,134,135,129,141,192,215,209,210,211,214,214,215,214,214,214,214,214,214
6,135,140,145,147,150,154,158,161,165,168,170,172,174,177,178,181,182,183,185,186,186,186,187,188,188,188,187,188,136,141,144,146,149,155,159,162,165,168,171,173,175,177,179,181,182,184,185,187,187,188,188,188,188,188,188,188,136,141,145,146,150,155,160,163,165,169,172,175,177,178,179,181,184,186,186,186,187,189,190,190,189,189,188,188,136,142,145,147,152,156,161,164,167,171,173,175,178,179,180,182,186,188,189,188,189,190,192,191,190,190,189,190,137,144,145,148,151,156,160,164,168,171,173,175,179,180,181,183,186,188,188,188,191,191,192,193,192,192,193,193,138,144,146,149,151,156,161,165,168,172,174,177,179,180,182,183,185,186,186,187,184,187,188,189,188,186,181,183,138,144,147,149,151,156,162,164,168,170,179,184,181,184,188,190,192,197,195,190,193,198,206,198,188,182,163,161,137,142,145,146,150,154,160,163,175,194,204,200,185,177,190,202,208,209,204,191,193,201,206,203,195,183,170,169,136,142,144,146,149,153,167,187,204,207,206,197,180,150,144,169,175,175,173,168,171,164,157,158,155,148,143,149,138,145,146,144,158,182,206,207,200,199,203,204,185,141,107,109,110,115,128,130,133,147,162,169,171,173,175,180,138,142,152,177,199,209,205,200,201,206,207,194,160,136,109,101,98,91,116,164,183,192,194,194,195,196,195,195,145,175,201,210,207,207,201,202,207,204,191,170,142,125,111,108,114,109,107,144,172,193,194,195,195,194,193,193,204,210,209,208,205,208,207,204,204,204,202,197,163,121,107,97,108,120,115,105,91,156,199,196,196,195,194,194,212,210,211,209,205,202,203,201,203,206,212,205,159,121,112,107,99,110,121,124,105,91,166,199,195,196,195,195,217,214,212,205,204,203,204,198,201,211,211,179,144,125,118,120,121,108,96,105,110,98,115,199,195,195,195,194,216,212,206,199,196,193,194,191,196,204,196,166,137,121,121,125,128,121,99,93,92,99,123,193,192,191,191,190,211,208,201,194,195,192,192,189,190,196,193,175,137,108,90,112,129,155,119,105,92,96,115,131,130,130,129,128,208,208,207,201,197,197,198,197,195,200,197,174,129,113,102,99,100,118,127,119,103,103,99,97,97,98,97,95,211,211,205,199,197,196,195,193,197,203,192,161,124,118,122,121,114,104,105,109,113,107,103,104,104,104,104,103,205,202,197,193,193,186,181,179,186,189,174,152,131,128,127,122,113,104,101,99,110,111,108,105,103,102,102,102,192,190,189,184,177,174,165,167,178,172,157,142,130,124,128,125,117,108,106,109,108,109,109,105,105,103,102,102,171,174,168,166,159,159,156,153,152,143,128,118,114,107,107,112,114,113,111,109,106,107,106,104,105,103,101,101,133,135,139,139,141,133,126,119,113,111,109,108,109,108,105,104,105,110,108,106,107,107,107,105,107,103,102,102,120,110,108,108,104,104,107,108,106,109,110,111,110,109,110,109,109,109,108,108,106,105,106,105,107,104,103,103,107,104,97,91,99,107,109,110,111,111,111,111,110,110,110,109,109,110,109,108,106,104,105,105,104,103,102,103,99,88,84,91,102,111,111,110,111,112,110,110,110,110,110,108,108,109,108,108,107,105,104,104,105,104,103,102,121,112,99,95,101,110,111,111,110,110,110,110,109,110,109,108,108,108,108,108,107,105,104,104,104,102,103,103,128,109,100,97,101,109,111,111,110,110,110,109,109,109,108,108,107,108,108,108,107,105,105,104,104,102,103,103
24,137,143,148,152,154,158,160,161,164,166,168,170,172,174,175,176,177,178,179,180,182,183,183,183,183,183,183,184,138,144,149,153,156,159,160,163,165,167,169,173,174,175,176,178,179,180,182,184,184,184,185,184,184,184,184,185,140,145,151,153,157,160,162,164,167,168,171,173,176,177,177,179,180,181,184,185,185,185,185,185,185,186,186,186,141,146,152,156,158,161,162,165,167,170,172,174,177,178,178,181,181,183,184,185,186,186,188,185,187,188,187,188,142,148,153,157,160,161,164,166,169,172,174,175,177,177,179,181,183,184,184,186,188,189,189,188,189,188,188,189,144,149,153,158,161,168,158,167,169,172,174,177,178,179,181,183,184,185,186,187,188,189,188,189,189,190,190,189,143,149,154,156,176,174,126,165,171,173,175,179,180,181,183,184,185,186,188,188,188,189,190,191,191,191,191,192,145,151,156,157,192,149,125,169,172,175,177,179,181,182,184,184,186,188,188,191,193,193,191,191,193,193,192,193,147,153,153,170,193,132,137,174,172,177,181,180,182,186,186,186,187,189,189,181,162,174,194,192,193,193,193,193,146,154,150,187,184,121,152,175,176,172,166,180,180,165,177,191,188,192,168,138,121,128,194,195,194,195,195,195,147,154,155,204,166,147,162,162,192,174,135,160,181,156,138,177,196,182,141,116,117,160,197,194,195,196,196,195,150,153,163,207,167,203,173,153,191,172,126,165,172,158,126,143,208,167,128,115,178,200,195,196,196,196,196,196,150,150,178,205,195,210,180,153,186,163,120,160,164,141,115,171,191,150,117,147,205,194,197,197,198,197,197,198,151,150,188,204,193,225,180,148,181,157,113,105,149,144,150,181,155,129,116,187,199,197,198,199,199,199,199,199,153,150,196,216,190,216,175,137,186,144,128,139,172,177,163,158,147,114,145,205,197,200,200,199,199,199,200,200,151,159,206,205,186,199,162,125,181,187,194,198,179,160,146,136,139,115,178,205,199,200,200,201,201,201,200,201,146,182,189,176,165,179,169,147,204,219,204,190,172,153,134,128,125,126,201,201,201,201,201,202,202,202,202,202,150,208,192,172,156,156,171,210,223,212,204,191,165,144,127,125,113,156,209,201,203,203,203,203,203,203,202,203,170,224,192,176,166,148,171,229,212,203,194,175,155,136,122,120,109,183,207,203,203,204,205,205,204,204,204,204,198,226,193,187,179,187,215,221,206,191,182,162,142,129,121,119,113,191,207,204,204,204,205,205,206,206,206,205,214,227,201,194,186,207,216,204,191,178,171,152,134,125,121,114,128,205,204,205,205,205,205,207,206,206,206,206,217,235,209,195,184,197,205,194,186,168,164,143,129,120,118,108,171,209,204,206,206,207,206,208,208,207,206,207,208,239,212,202,189,192,202,197,181,167,158,137,124,115,102,145,208,204,206,207,207,207,208,208,208,208,208,208,188,232,208,197,197,189,188,193,172,155,147,131,113,104,151,201,204,205,206,207,209,209,209,208,208,209,210,209,177,217,210,200,201,189,175,186,172,152,139,121,99,152,208,203,204,206,207,208,208,210,210,209,210,210,210,211,169,214,212,201,192,187,169,179,167,151,136,106,121,198,201,203,205,207,207,208,209,210,210,210,210,211,211,211,170,220,214,195,180,187,169,170,163,146,135,104,152,207,201,204,206,207,208,209,210,210,210,211,211,212,212,211,175,220,214,189,172,189,167,163,164,144,130,107,159,207,201,205,207,208,209,210,211,211,211,212,212,212,213,213
0,147,148,151,152,154,155,157,158,158,159,159,159,159,159,159,159,159,158,158,158,158,158,157,157,158,157,155,154,148,149,152,153,155,157,158,159,160,160,161,161,161,160,160,161,160,160,160,160,159,158,158,158,158,158,157,155,149,150,153,154,156,158,159,159,160,161,161,163,163,162,162,163,163,161,161,161,159,159,159,159,157,157,157,157,151,152,154,155,157,159,160,161,161,162,163,164,164,166,163,163,164,165,162,161,160,161,161,159,160,159,158,158,151,154,155,156,159,161,162,162,164,166,166,161,160,149,162,165,141,140,165,165,162,161,163,162,161,160,159,159,153,155,155,157,160,161,162,163,166,156,156,183,158,115,113,170,139,88,137,159,156,148,133,165,161,161,160,160,154,156,156,159,161,162,163,164,173,146,114,170,173,137,100,169,148,110,75,93,129,161,102,157,166,162,162,161,154,156,158,159,161,162,161,169,185,171,131,118,180,141,101,167,150,113,71,114,127,164,121,114,168,162,164,162,154,156,159,160,162,164,163,180,179,178,154,94,153,146,95,164,156,104,89,136,103,158,148,105,125,167,163,163,155,157,159,161,162,163,167,180,144,172,146,79,122,151,96,161,149,89,89,133,77,133,160,135,93,128,172,162,157,159,161,161,163,160,177,183,138,164,124,73,121,133,88,139,127,81,84,124,83,156,178,145,90,106,173,162,158,160,161,163,164,163,183,178,149,158,111,73,118,112,79,112,111,78,82,112,98,176,172,139,78,138,170,164,159,160,161,164,164,168,191,167,130,134,125,78,103,106,74,104,105,61,118,128,140,171,155,110,84,168,166,165,159,161,163,166,165,169,196,179,149,110,97,63,112,125,75,119,113,101,151,144,145,156,127,81,119,177,166,166,160,162,164,166,165,173,195,176,159,134,95,77,102,108,72,103,155,170,155,145,123,123,106,69,153,174,168,167,160,162,165,167,165,179,196,174,162,148,124,92,93,114,124,161,180,169,149,137,114,93,87,75,169,171,170,169,162,163,165,168,166,181,196,176,162,149,135,98,95,126,165,187,181,164,140,128,103,84,65,111,179,169,171,170,162,164,165,168,165,178,196,180,163,153,146,113,103,123,175,185,179,156,132,116,92,71,72,168,174,171,172,171,163,165,166,169,166,175,194,183,166,154,149,126,105,130,182,186,168,144,120,101,83,59,134,179,171,172,172,171,163,165,166,170,168,172,193,184,171,154,144,127,104,140,180,177,153,136,112,90,63,101,181,173,173,172,172,172,163,165,167,170,169,172,193,181,169,156,139,122,110,152,166,153,145,128,103,75,66,164,177,175,175,174,173,173,164,165,167,170,168,172,194,180,172,156,134,120,125,154,139,137,132,112,91,58,133,183,174,176,176,175,174,173,163,165,166,170,164,183,197,183,181,159,137,127,137,148,125,129,114,99,64,102,182,177,178,176,176,176,174,173,164,166,169,167,168,198,192,184,179,154,136,132,139,132,122,119,106,78,84,175,180,178,177,176,176,176,175,174,163,166,169,164,183,193,175,177,173,144,129,135,129,120,115,105,84,76,161,181,179,178,177,177,177,176,175,174,163,165,167,159,190,182,159,152,153,134,125,132,120,112,106,90,72,142,180,177,178,177,177,177,176,176,175,175,162,167,161,164,194,173,150,134,130,117,128,132,103,102,100,67,114,181,178,178,179,179,178,177,176,176,175,175,164,167,156,182,192,164,136,131,120,103,132,123,91,102,81,76,164,179,178,178,179,179,178,177,176,176,176,176
1,150,152,154,155,155,157,157,157,157,157,158,158,160,160,160,160,160,160,159,159,160,160,159,158,158,159,158,157,153,156,158,157,159,159,159,160,161,162,162,162,162,163,163,163,163,163,162,162,161,161,162,162,160,160,159,158,157,159,160,161,162,163,163,164,165,165,166,167,166,166,164,165,167,158,156,166,165,165,164,164,162,161,161,160,161,164,164,166,166,167,166,168,169,170,170,170,171,169,139,164,178,155,114,170,168,168,167,167,165,165,164,164,164,167,168,170,170,170,170,171,171,173,174,173,179,175,112,159,179,143,107,168,165,171,171,170,168,168,167,166,168,170,171,173,174,174,174,176,175,175,173,166,185,165,109,166,178,128,123,163,123,160,175,173,172,171,171,170,171,172,173,175,177,178,177,178,179,181,166,130,169,152,111,177,175,116,141,168,113,146,178,176,175,174,173,173,173,175,176,179,181,180,181,181,181,187,162,114,151,151,118,184,177,121,158,173,113,145,181,179,178,177,176,175,176,178,180,182,184,184,183,184,184,189,149,114,143,143,125,178,164,119,173,171,108,150,182,182,182,180,180,179,179,180,183,184,185,186,186,186,186,194,146,123,132,129,112,173,148,115,185,172,111,161,185,187,185,184,183,182,181,183,185,186,187,187,189,189,187,195,137,119,132,134,103,184,148,126,191,164,110,172,187,188,187,187,186,185,183,186,187,189,189,189,190,191,191,199,145,109,133,134,103,183,144,141,190,157,107,182,191,190,189,188,187,186,185,188,190,191,192,193,193,192,194,200,149,99,118,114,100,163,124,161,191,159,115,191,194,193,191,190,189,188,187,189,192,193,194,195,194,194,198,200,153,120,144,160,150,167,154,143,175,151,126,196,195,194,194,193,192,190,190,192,192,194,195,196,196,197,204,198,160,129,117,162,180,183,179,139,130,132,141,198,198,197,196,195,193,193,191,193,194,195,197,198,199,199,211,188,149,120,99,107,138,157,194,175,113,91,158,200,199,199,197,196,196,194,193,195,197,198,199,200,201,201,216,189,147,111,101,106,118,152,205,201,146,84,175,202,201,201,200,200,198,197,194,196,198,200,200,202,200,205,216,185,142,115,114,121,156,182,182,195,160,101,183,203,202,201,200,200,200,200,196,197,199,201,202,203,202,208,213,184,146,116,128,132,186,200,182,164,140,103,155,205,204,204,203,202,201,200,196,198,200,202,203,205,203,210,214,186,150,130,132,153,206,202,174,150,112,90,160,208,206,205,205,205,202,201,199,200,202,203,203,205,205,210,212,185,152,141,132,170,213,203,163,134,101,86,185,209,208,207,206,206,204,202,200,202,202,204,204,205,207,209,209,187,160,148,135,169,212,194,151,122,94,103,202,209,208,208,207,207,206,204,201,203,203,205,205,206,207,208,206,188,166,155,132,174,202,178,139,109,89,156,209,210,209,209,210,210,208,208,201,204,206,206,207,208,209,209,209,191,169,156,129,179,190,165,131,99,97,198,212,212,210,210,210,210,208,208,202,204,207,207,207,209,208,209,213,194,173,149,128,172,166,148,117,91,132,213,213,214,213,212,212,211,209,208,202,204,206,208,208,209,204,210,213,207,181,148,138,162,148,135,108,92,181,214,214,215,215,214,213,212,210,209,202,202,204,206,208,207,202,212,210,205,182,153,148,152,140,123,97,129,209,216,215,215,215,214,214,213,212,211,203,204,205,206,206,203,203,202,192,190,175,150,145,134,127,103,99,190,215,216,215,215,215,214,213,213,212,211
12,200,202,204,203,203,204,205,204,205,206,206,205,206,208,206,206,207,206,206,206,206,207,205,205,205,204,204,204,203,204,205,205,206,207,207,207,207,208,208,209,209,206,209,211,208,207,207,207,208,208,207,207,207,206,206,204,205,205,206,207,208,209,209,210,209,210,209,198,207,222,200,188,207,211,210,209,210,211,209,208,208,208,207,206,206,207,209,209,210,210,209,211,208,236,222,190,171,242,217,175,165,217,210,212,215,210,211,210,210,210,209,209,207,209,211,211,211,211,213,212,215,255,241,211,154,219,245,200,136,197,207,180,196,218,212,213,213,212,212,210,210,211,212,214,213,214,214,212,220,255,255,221,164,184,255,214,166,131,201,177,136,202,218,214,216,213,213,212,211,212,213,214,214,216,217,214,224,252,255,227,180,155,249,221,188,124,170,188,119,156,227,215,218,217,216,214,212,213,214,215,215,217,218,215,228,239,248,240,193,139,218,229,189,139,118,171,127,147,230,217,219,217,217,216,213,215,217,218,218,219,218,218,220,202,229,241,219,180,161,218,177,126,85,130,124,156,230,218,220,219,219,218,215,216,218,219,221,214,222,245,193,166,188,210,219,178,119,140,142,92,115,156,110,171,231,220,222,220,220,221,215,216,219,222,217,232,255,234,166,143,149,141,178,144,113,127,163,141,186,169,110,197,228,221,223,222,221,221,217,219,219,218,231,255,242,207,166,145,111,105,125,165,156,171,208,234,209,152,109,217,231,223,225,224,223,223,217,219,221,221,252,234,211,217,187,160,114,109,114,113,125,146,194,242,247,226,167,145,217,228,225,224,224,224,219,219,219,225,251,225,198,222,197,162,125,103,123,125,122,116,199,231,249,229,192,149,140,231,226,225,225,224,220,219,217,242,248,221,184,208,212,201,162,109,126,144,133,198,238,228,221,202,194,186,130,208,232,226,226,226,220,222,221,238,255,237,200,157,207,231,179,122,122,147,196,245,238,228,214,173,179,171,131,219,231,227,228,227,221,221,222,232,255,248,222,174,161,193,221,194,125,214,253,238,230,218,203,170,152,133,147,238,229,228,228,228,221,222,223,232,255,255,229,193,188,167,178,175,196,255,251,240,224,210,190,164,135,109,186,238,230,231,230,228,222,222,223,230,253,255,241,205,202,195,156,187,254,253,253,236,209,196,172,158,123,117,224,232,230,232,231,230,221,222,222,225,245,250,250,224,209,197,191,186,248,252,249,225,193,177,159,154,112,153,241,229,231,232,232,231,221,220,223,219,233,253,254,240,219,201,203,181,233,250,234,214,177,158,162,144,104,194,239,229,231,231,231,230,221,221,224,221,218,255,255,242,223,205,199,190,216,244,215,193,164,151,166,127,117,229,233,232,231,231,230,229,222,223,224,228,216,243,244,223,212,203,198,196,201,219,200,172,157,158,154,109,165,242,230,232,231,231,231,231,221,223,225,230,219,238,234,208,201,198,199,191,193,201,190,177,154,152,132,120,224,236,232,232,231,231,231,231,221,225,225,228,222,234,231,210,210,210,203,191,188,202,199,171,138,136,110,186,241,232,234,233,233,233,233,232,223,223,226,226,222,230,237,221,219,215,207,200,184,208,191,148,129,115,139,237,231,235,233,233,233,233,233,232,220,222,226,228,226,228,246,224,227,221,210,208,175,203,173,142,127,108,204,242,234,235,234,234,233,233,233,232,156,159,160,167,163,203,254,235,232,230,215,209,172,192,167,145,115,123,221,222,224,226,229,231,232,233,232,231
20,111,115,117,119,123,127,129,131,133,135,136,138,140,139,142,145,144,144,144,146,147,147,146,145,146,146,147,147,114,117,119,122,125,128,129,133,134,135,136,140,141,141,145,126,134,149,148,147,148,148,149,149,149,149,149,149,115,118,120,124,128,129,132,135,135,136,138,142,144,141,163,103,89,121,122,154,151,153,153,151,150,151,151,151,116,120,123,124,128,130,135,136,137,139,143,145,145,144,174,109,119,125,70,152,154,153,152,151,150,152,153,150,117,120,123,126,129,132,135,136,137,140,145,145,144,146,168,108,137,144,64,142,156,153,154,153,154,155,154,152,119,122,125,127,131,134,136,138,140,142,144,145,143,153,184,123,141,149,72,142,160,156,157,156,156,156,156,155,120,124,126,128,132,134,137,140,143,143,145,149,142,165,182,121,160,152,80,136,163,157,158,157,157,158,157,156,120,123,127,130,133,135,138,141,144,145,135,138,151,167,156,114,164,146,74,129,166,158,159,157,157,158,157,156,121,124,128,130,134,138,140,141,144,151,134,78,122,181,143,105,170,132,68,133,168,161,161,159,160,160,158,157,122,125,129,133,135,139,142,141,142,160,136,95,61,143,131,104,171,129,71,146,165,161,163,160,160,159,158,157,124,126,129,134,136,139,141,150,126,128,147,133,119,78,75,86,141,121,72,152,165,162,164,161,162,161,161,159,124,127,131,135,137,136,152,177,121,85,153,161,150,102,46,44,105,106,67,155,166,163,164,163,163,162,162,163,125,127,130,134,137,138,156,140,151,117,79,118,160,137,78,46,79,75,62,161,165,164,166,165,165,162,162,163,126,128,133,137,139,136,164,131,99,92,25,28,148,167,120,54,56,64,55,158,167,165,167,166,166,165,164,163,126,127,133,137,140,139,161,125,92,86,50,46,109,185,146,82,45,57,54,159,168,166,167,165,165,164,164,164,126,128,132,137,139,139,168,162,128,97,65,78,92,185,167,113,57,42,46,160,169,166,167,165,163,165,164,163,127,129,133,139,141,140,181,151,107,86,77,95,112,185,168,128,73,33,39,158,171,167,168,166,165,164,165,164,127,131,133,138,142,142,179,145,110,99,102,99,170,202,150,124,80,32,40,163,171,169,169,168,166,165,164,165,129,131,135,140,142,145,186,154,123,112,112,116,203,197,152,117,86,36,47,168,169,169,169,168,166,167,167,165,130,132,136,141,143,145,188,162,135,106,125,148,201,181,159,117,86,37,58,175,168,169,169,168,166,167,168,167,130,133,136,140,144,145,190,171,140,121,122,164,196,164,152,110,83,33,76,178,167,169,169,168,168,169,168,167,129,132,136,141,146,143,187,173,145,150,123,169,191,163,147,115,76,32,90,180,166,169,169,169,168,169,168,167,129,133,137,141,146,143,173,181,161,168,143,153,179,153,141,115,73,29,88,181,168,171,170,170,170,170,169,167,129,133,138,142,144,145,157,182,170,171,156,144,164,149,139,114,72,32,94,181,168,171,170,170,170,170,169,169,127,133,138,143,144,146,148,177,175,159,141,145,153,141,138,130,73,32,115,180,168,171,170,170,170,170,171,170,128,132,137,142,145,148,146,175,163,146,129,133,148,138,137,130,76,39,143,177,171,172,171,170,170,171,170,169,128,133,139,142,144,147,148,174,154,141,131,128,148,141,132,127,64,55,171,172,172,172,172,172,172,172,171,170,127,134,139,142,145,148,150,179,173,160,139,134,154,132,120,118,47,86,183,170,173,173,172,172,172,172,172,172
10,96,107,127,154,165,175,181,184,186,190,192,194,194,196,197,196,194,194,193,191,192,191,184,183,182,181,177,173,97,108,129,156,168,178,182,186,189,192,195,197,197,197,199,199,199,198,196,197,176,174,191,186,184,181,180,175,98,111,131,157,170,179,184,188,191,195,198,199,201,201,202,202,202,202,198,207,156,113,196,189,188,184,181,179,100,112,134,160,172,181,188,190,192,196,200,201,202,204,205,205,204,204,201,210,162,102,189,194,190,189,185,182,103,113,136,161,174,182,190,193,194,198,202,204,205,207,208,208,208,207,204,212,157,96,185,200,193,192,189,185,104,115,138,164,175,186,193,195,197,201,204,206,209,209,210,211,211,211,208,213,157,95,186,204,197,196,193,189,106,117,140,165,177,188,194,196,198,204,208,209,211,211,212,215,213,213,210,219,167,99,185,207,199,199,196,191,107,118,140,166,179,188,194,196,200,207,211,211,212,214,215,217,217,214,214,221,160,92,185,209,201,200,196,193,108,118,142,167,180,189,195,198,201,208,212,212,215,216,216,218,220,219,221,196,117,87,188,211,203,203,199,195,109,119,143,167,180,190,196,199,203,209,213,215,217,218,218,218,215,201,225,173,80,96,200,212,207,204,201,196,110,121,145,167,181,191,197,201,205,210,215,217,218,220,224,226,210,166,152,139,83,78,210,211,208,205,202,199,111,122,147,168,182,192,199,202,206,213,216,218,219,219,201,211,224,201,142,81,86,70,188,217,208,207,202,201,112,124,149,169,183,193,199,203,208,214,218,220,225,216,159,125,123,161,101,68,90,65,140,228,208,208,206,203,113,124,150,169,183,194,200,204,208,214,219,216,206,223,185,135,40,49,49,103,108,60,127,229,209,210,207,204,114,125,150,170,185,195,202,206,209,213,222,204,148,163,209,154,68,43,48,133,162,76,116,228,211,211,209,205,113,125,153,170,185,194,203,207,211,214,223,215,190,136,187,167,100,43,56,134,187,98,101,226,215,213,209,207,114,126,153,171,186,195,203,207,212,217,222,191,199,158,147,164,107,40,74,163,185,112,80,215,218,213,210,207,115,126,153,171,186,196,203,207,213,216,228,189,153,143,96,151,122,67,117,184,163,107,75,212,220,214,212,208,115,125,154,173,186,195,204,207,213,218,224,196,147,128,102,140,174,111,141,189,128,83,91,225,220,216,212,208,115,127,155,172,186,196,205,208,213,218,220,222,186,129,121,123,170,111,143,172,119,64,111,232,216,216,213,210,114,128,156,171,186,197,206,209,214,219,218,225,203,161,129,112,170,172,168,148,116,55,133,238,218,217,215,213,111,127,155,170,185,196,204,206,211,218,219,212,201,176,151,131,188,213,171,133,107,52,157,235,217,215,212,211,110,124,153,168,183,195,202,205,210,216,222,202,190,179,165,146,180,200,159,120,94,49,184,229,217,214,210,209,109,123,152,166,182,193,202,205,211,216,221,218,191,185,172,146,165,183,145,107,71,63,216,219,216,215,211,208,104,118,148,162,179,190,199,203,209,214,218,223,203,180,163,140,140,155,125,95,50,121,234,217,217,214,212,209,120,134,160,173,187,197,205,209,213,217,222,225,225,189,155,136,129,143,131,94,52,181,226,214,213,208,205,203,154,159,164,163,156,154,155,153,153,152,151,145,162,201,163,159,147,143,136,88,61,115,122,117,115,114,114,103,112,110,110,110,110,110,112,112,114,112,112,109,123,207,185,176,152,142,119,83,61,96,98,96,94,85,46,22
18,174,175,175,177,178,178,177,178,178,176,175,174,174,173,172,172,172,171,170,169,168,167,165,164,163,162,160,159,175,176,177,178,178,179,179,179,179,178,177,176,176,175,175,175,174,173,172,172,170,168,166,165,163,162,160,159,177,177,177,179,179,180,181,181,180,179,180,178,177,178,178,172,166,172,174,173,171,170,167,166,165,164,163,162,178,178,179,180,180,181,181,182,181,181,178,148,130,162,167,137,112,125,171,159,140,147,167,168,166,166,165,164,179,180,180,181,182,182,183,183,181,183,177,137,108,99,141,138,103,79,121,129,106,92,130,170,169,166,165,164,180,181,182,182,183,184,184,163,139,154,172,145,119,98,121,157,110,93,75,117,107,84,74,164,169,168,166,165,181,183,184,185,184,185,189,163,136,119,139,159,125,106,97,158,114,103,97,96,105,90,64,146,170,169,168,166,182,184,184,186,187,186,189,174,153,134,110,145,137,106,84,127,126,117,112,105,118,102,65,145,170,171,168,167,182,184,185,187,188,190,177,173,163,140,117,102,136,110,90,99,132,125,115,113,116,100,65,148,173,171,170,169,184,185,187,187,188,191,176,141,149,135,107,71,124,114,88,79,123,117,115,114,109,97,65,134,174,173,170,169,185,186,187,189,188,191,163,112,124,128,84,58,101,95,71,64,102,83,99,126,126,101,73,116,175,174,171,170,185,187,188,189,188,193,166,134,118,126,78,58,85,76,61,55,78,67,85,153,140,111,82,97,178,175,173,172,187,188,188,189,189,195,176,152,115,124,90,63,82,82,61,54,73,63,63,142,144,119,90,77,174,177,175,173,188,189,189,189,191,195,179,149,120,100,85,59,83,88,60,53,72,103,136,148,159,134,96,65,161,177,176,174,188,189,189,190,191,194,161,129,107,88,70,57,66,66,58,69,103,154,163,152,153,134,97,63,148,179,177,175,188,189,191,192,193,194,175,150,126,104,84,80,76,80,100,126,156,171,166,160,134,121,87,59,153,179,177,176,190,192,193,193,193,195,183,158,132,104,84,82,92,107,132,157,177,174,159,146,125,97,77,66,171,179,179,178,191,192,193,194,193,194,186,165,138,111,95,90,98,113,152,175,183,173,150,134,114,88,64,97,180,181,180,178,191,192,193,194,194,193,187,171,146,124,105,99,98,128,167,182,180,164,143,125,108,79,54,145,181,181,179,177,192,193,194,195,195,191,184,170,148,129,113,106,104,138,174,176,169,156,137,117,100,74,66,175,183,181,180,179,193,195,196,197,196,190,176,162,147,132,120,115,109,142,172,168,160,146,130,109,90,64,102,184,183,182,181,179,193,195,196,196,197,193,174,164,152,136,126,125,113,146,164,163,151,132,118,100,79,55,149,184,183,182,181,179,195,196,196,197,198,197,179,163,154,143,134,130,116,144,158,157,145,124,106,88,68,72,180,185,184,182,182,180,195,197,197,197,198,200,189,165,157,149,137,126,114,131,152,147,134,115,93,76,53,128,187,187,185,184,182,181,195,197,197,197,197,199,195,177,164,151,140,129,116,119,140,137,121,102,83,64,67,179,188,187,186,185,183,181,195,196,196,198,199,201,198,186,170,156,143,133,122,118,131,128,111,93,74,51,129,189,188,187,187,185,184,181,195,196,196,197,199,200,199,193,178,155,139,130,125,123,124,122,107,88,66,71,181,190,190,188,187,186,184,181,196,197,198,198,199,201,198,193,178,158,150,147,140,134,120,117,100,79,56,125,190,191,189,188,187,186,184,182
4,119,120,123,124,124,126,129,132,132,135,135,136,137,139,141,141,142,143,145,146,146,147,146,145,147,147,149,150,119,121,123,125,125,128,129,132,134,135,135,137,138,138,140,142,142,144,145,146,147,147,148,149,149,149,149,151,120,122,125,125,128,129,130,133,134,134,135,137,141,138,137,138,145,144,145,145,146,148,149,151,150,151,151,151,120,122,126,126,128,129,131,132,135,142,137,127,129,154,142,117,111,147,143,150,148,147,150,151,151,150,152,152,120,123,126,129,129,128,129,132,135,145,153,135,88,123,150,110,76,98,121,106,141,151,151,152,152,152,153,153,122,125,126,129,128,131,160,149,127,89,141,136,83,89,139,101,66,72,109,68,96,160,151,152,153,153,153,152,123,125,128,130,125,148,184,159,115,75,119,134,85,70,135,128,62,74,113,79,84,159,151,152,154,154,153,154,123,125,129,132,127,162,151,163,123,80,96,148,100,48,129,142,71,73,135,84,81,163,150,153,155,155,155,156,124,127,129,130,129,171,136,134,146,99,59,147,109,25,89,154,116,90,112,90,90,139,156,154,156,156,156,157,125,127,129,129,135,170,136,118,110,82,38,75,87,26,53,142,124,109,102,106,107,90,152,156,156,156,158,158,126,128,132,128,143,168,142,126,106,87,77,57,83,71,68,112,128,125,112,98,109,104,123,162,155,157,158,159,127,129,133,126,163,166,137,113,105,93,76,81,104,85,95,108,119,112,94,115,142,118,98,160,156,158,159,160,127,129,132,130,174,157,131,108,94,78,73,87,104,96,110,128,110,78,110,158,146,131,92,149,161,159,160,160,128,132,130,139,183,154,132,110,98,83,81,91,100,110,119,135,135,139,136,136,133,126,91,126,166,159,160,159,128,132,129,145,186,156,138,118,96,85,81,93,108,122,125,139,155,153,144,133,116,101,84,94,167,160,160,160,130,132,128,153,190,157,142,125,100,85,87,90,112,129,146,153,156,148,143,128,113,95,73,79,166,161,161,160,131,134,125,158,192,156,146,128,112,98,95,93,121,148,161,160,151,140,135,125,107,90,68,86,169,162,163,162,130,135,126,162,193,164,151,138,126,105,100,115,133,163,167,160,151,138,126,116,100,87,61,127,171,160,163,165,133,137,128,158,194,172,158,147,138,122,110,131,138,158,164,157,150,137,121,105,85,69,77,165,163,162,164,165,134,134,131,149,198,179,165,149,142,131,121,130,142,158,162,152,149,140,120,98,78,57,132,170,162,163,163,164,133,135,134,139,197,183,163,146,138,129,127,132,144,160,160,146,142,140,118,104,69,90,170,162,163,163,164,165,135,135,136,133,195,184,157,151,142,136,136,138,150,155,149,141,131,129,121,100,68,152,168,164,165,163,165,166,134,136,136,134,197,178,157,162,152,146,143,140,147,150,137,132,123,120,115,74,122,171,162,165,164,164,165,166,134,136,134,140,197,168,163,168,158,156,150,140,144,146,135,126,117,107,82,105,168,164,163,165,164,165,166,167,135,137,132,148,196,178,168,164,158,161,154,138,137,139,131,119,106,81,90,168,163,164,164,165,165,166,166,167,133,136,131,156,198,187,163,157,160,165,154,131,129,128,125,110,94,64,145,166,162,164,165,165,166,166,166,167,134,136,130,166,196,188,163,155,161,161,148,129,121,124,119,103,74,90,172,160,162,163,165,165,166,166,166,167,134,138,129,173,197,188,160,153,158,157,142,127,118,128,113,96,62,126,171,162,163,165,166,166,166,166,166,167
6,197,199,201,204,204,203,203,204,205,206,207,207,207,207,207,207,207,206,205,202,202,200,200,199,196,195,193,193,200,201,202,204,205,206,206,206,205,208,209,209,208,208,208,208,207,207,206,205,203,204,202,200,199,197,197,197,201,201,204,205,206,207,208,208,208,209,209,208,207,209,211,211,210,209,209,208,207,206,204,203,202,199,199,199,203,204,207,207,208,210,211,209,208,208,209,209,210,211,211,210,210,209,209,208,207,207,206,205,203,202,201,199,207,207,208,208,210,210,210,211,211,210,211,212,212,213,213,213,213,213,212,211,209,208,206,206,205,203,201,199,208,208,209,211,212,211,213,213,214,214,214,214,213,213,214,214,214,215,214,213,210,210,209,208,207,207,205,204,208,209,212,213,214,215,215,216,214,214,216,217,216,215,216,217,216,216,215,214,212,211,209,207,207,206,204,205,210,212,213,212,214,216,217,217,217,217,218,218,218,217,217,217,217,218,217,218,214,212,213,211,210,208,207,208,211,213,214,215,214,218,217,217,218,218,219,219,217,217,219,217,217,215,216,216,214,212,212,211,208,208,205,206,214,215,216,216,217,218,217,220,222,226,226,221,209,189,201,213,215,210,211,211,211,203,205,203,200,207,191,232,213,215,217,219,221,223,223,224,218,217,218,215,206,179,148,189,208,212,212,211,195,199,197,196,197,199,185,198,220,223,223,220,216,217,216,214,207,207,212,212,218,204,131,121,138,152,154,157,159,153,152,156,157,158,161,166,237,233,222,209,207,208,207,203,195,197,195,188,184,162,130,117,98,99,149,164,178,184,192,202,208,208,209,216,234,229,221,207,201,195,187,187,190,187,179,177,180,153,117,116,126,120,167,232,231,227,225,225,222,219,220,213,231,224,218,205,193,184,183,184,185,185,186,195,213,189,121,96,111,133,114,140,215,225,221,223,221,224,204,136,225,218,210,203,190,178,171,170,177,186,195,196,193,177,137,119,112,115,128,114,139,228,225,225,221,227,137,105,219,212,208,208,195,183,174,170,173,177,185,203,183,146,138,140,135,123,112,116,120,218,224,220,229,207,114,114,215,206,206,204,196,189,181,176,177,173,172,188,197,155,109,115,147,148,131,101,150,234,225,235,202,122,103,84,205,202,200,198,196,194,186,179,180,180,181,198,190,149,121,104,116,140,149,120,146,223,183,169,124,91,87,69,135,150,172,194,201,202,196,187,183,179,178,193,191,153,130,137,129,113,122,131,123,130,108,97,87,79,66,61,43,48,74,134,204,202,197,191,187,182,175,168,171,156,154,156,145,133,123,100,94,95,106,101,88,76,60,53,39,31,25,29,115,195,175,162,157,153,152,137,133,118,119,146,151,150,132,93,57,72,89,81,77,74,69,56,30,25,25,26,18,85,173,176,183,190,199,213,131,81,86,106,140,131,114,100,62,50,74,73,67,69,75,61,23,18,15,15,10,154,223,221,227,229,230,235,206,155,148,137,133,78,103,97,57,42,49,67,62,60,70,68,19,12,10,0,41,140,126,129,130,132,136,138,145,149,148,146,117,58,94,96,53,35,39,53,55,56,65,68,13,9,7,1,33,113,107,106,108,106,110,112,106,103,126,133,99,47,88,86,47,30,42,44,48,50,57,62,15,12,15,0,36,128,118,119,119,119,115,116,120,128,111,98,86,48,77,75,45,26,34,43,43,45,50,56,23,20,12,0,66,129,117,119,121,122,118,118,118,104,87,71,71,55,66,70,42,29,29,38,37,41,45,52
0,181,181,181,181,180,180,180,180,179,178,177,178,177,176,175,174,174,173,171,171,170,168,168,166,166,164,163,162,181,182,181,182,182,181,181,181,180,179,178,179,178,178,177,176,175,174,174,172,171,169,168,166,166,165,164,164,182,182,182,182,183,183,183,182,181,180,179,179,179,179,178,177,175,174,173,172,172,171,169,168,166,166,165,164,183,184,184,184,184,184,184,183,182,181,181,179,179,179,179,178,177,175,173,173,172,172,171,170,168,167,165,164,183,185,185,186,185,184,183,182,182,183,180,167,145,151,175,163,151,161,175,173,172,173,171,171,170,168,166,165,185,186,186,186,186,184,183,175,159,164,173,152,123,102,134,137,114,102,148,148,140,155,171,165,166,169,168,166,187,187,186,186,186,185,183,168,141,125,144,156,123,96,107,141,116,89,93,120,100,89,141,141,140,170,168,166,187,187,187,187,186,186,185,178,156,131,112,152,130,104,104,145,123,93,91,129,108,73,91,130,116,169,169,167,188,188,188,187,186,188,182,172,162,137,100,141,134,106,103,145,124,93,83,125,110,74,69,120,106,162,170,169,189,188,188,188,187,189,175,146,160,124,90,139,130,100,97,137,116,84,70,110,97,67,65,117,97,136,172,170,189,189,189,189,188,185,156,126,154,111,87,132,113,83,90,126,105,75,75,121,103,60,68,123,111,101,159,171,189,189,189,190,190,186,165,141,153,118,97,128,112,79,90,127,104,70,104,140,108,54,75,126,119,88,125,173,190,191,190,190,191,181,160,139,138,122,100,133,125,82,103,141,114,74,119,138,87,53,108,136,119,80,115,172,191,192,192,191,186,163,136,119,105,93,89,137,123,80,107,142,116,72,55,71,48,81,137,139,107,75,145,171,192,192,193,192,186,164,137,112,88,78,77,102,103,74,72,104,94,72,71,53,68,128,143,126,84,104,170,172,193,192,193,190,181,163,140,113,92,88,90,89,94,90,80,89,114,135,138,125,115,136,129,102,74,149,175,172,193,193,193,189,181,166,144,118,95,88,92,99,115,126,131,144,153,149,140,136,115,117,113,76,97,173,174,174,194,194,194,192,184,167,147,126,104,94,96,111,137,150,159,162,157,145,135,128,105,96,93,64,141,177,175,174,194,194,194,192,186,168,151,132,114,110,104,134,162,165,166,162,152,139,131,122,95,78,68,92,173,179,177,174,194,195,194,192,188,173,156,140,127,124,130,158,170,168,167,159,147,135,124,109,81,60,75,155,179,178,178,176,194,195,194,192,189,175,160,147,137,133,154,165,170,171,165,151,141,127,112,92,62,68,150,179,179,178,177,177,194,195,195,190,187,178,165,152,139,138,163,167,171,169,157,140,128,117,98,71,62,143,180,180,180,180,178,177,195,196,195,190,185,181,169,157,141,138,161,167,164,159,144,127,114,100,76,61,135,182,181,181,180,181,179,178,196,196,196,192,186,182,173,164,150,140,158,163,154,145,131,114,96,73,59,128,182,184,183,182,180,181,179,178,195,196,197,194,188,180,174,166,157,146,156,155,144,131,119,99,72,58,126,182,185,185,183,182,181,180,179,179,195,195,197,192,186,178,181,176,165,152,151,146,130,117,105,76,59,130,185,187,186,186,184,183,182,180,179,179,196,196,196,191,186,177,183,177,161,149,144,137,118,101,84,63,133,187,189,188,188,186,185,184,182,181,180,179,197,197,195,188,182,170,179,169,156,147,138,124,108,90,66,99,185,191,189,188,188,186,185,184,182,182,181,180
23,133,136,139,143,146,149,151,154,156,157,159,161,162,162,163,165,166,167,169,170,170,172,172,172,172,173,173,174,134,137,141,144,147,150,152,154,156,158,159,161,162,164,165,166,166,167,169,169,171,173,173,173,174,174,174,175,135,138,141,145,148,151,152,155,157,158,160,162,164,165,166,166,162,162,158,150,165,174,174,175,175,175,176,176,136,139,142,146,149,151,153,156,158,159,161,163,164,166,170,166,152,142,128,122,161,175,176,177,177,177,178,177,138,140,143,147,150,152,154,157,159,161,162,164,167,170,168,148,122,119,121,143,171,176,177,178,178,178,178,178,138,141,144,147,150,152,155,158,159,162,163,171,176,161,143,120,121,139,157,172,177,178,179,179,179,180,180,180,138,142,145,148,151,153,156,158,160,162,164,179,179,142,120,135,153,137,152,176,178,179,180,180,180,181,181,181,139,142,146,149,152,154,156,158,161,163,166,183,183,155,155,175,162,133,137,171,177,179,181,181,181,182,182,183,139,143,146,150,152,154,156,159,162,164,169,186,186,181,185,177,160,150,138,145,157,174,181,181,182,183,183,183,140,143,147,150,153,155,158,161,163,165,170,183,183,184,182,176,171,159,128,100,109,154,181,183,183,184,184,184,141,144,148,151,153,155,158,162,164,166,171,174,173,176,176,172,165,151,114,78,77,123,173,184,184,184,184,184,141,145,148,152,154,156,158,162,166,175,177,169,166,169,168,162,154,138,105,75,68,91,136,174,184,184,184,183,141,144,148,152,154,156,159,162,170,190,186,173,170,161,150,136,125,124,103,74,64,78,98,148,183,185,184,184,141,145,149,152,155,157,160,163,169,191,192,181,170,148,120,91,93,122,103,72,61,77,94,144,183,186,185,185,141,145,149,152,155,158,160,163,169,187,191,178,166,143,108,74,88,117,94,70,70,86,109,164,186,186,186,186,142,145,150,153,156,158,160,163,168,186,189,177,172,138,87,63,85,87,68,65,83,98,134,179,187,187,187,188,142,146,150,154,156,158,160,163,168,185,188,180,170,132,83,50,55,51,56,71,91,111,161,185,187,187,187,187,143,146,150,153,156,158,161,164,169,185,187,183,168,131,89,45,41,57,76,87,96,131,178,187,187,187,187,187,144,147,151,153,156,159,162,164,170,186,187,184,166,131,95,56,54,78,95,99,105,155,186,188,188,188,187,187,144,147,151,154,157,160,162,165,171,187,187,182,162,130,98,65,67,90,100,101,125,176,187,188,189,188,188,188,144,147,151,155,157,160,162,165,172,187,184,175,156,127,98,71,74,95,100,101,146,185,188,189,189,189,189,189,144,147,152,156,157,160,163,166,174,186,178,168,151,125,101,80,78,95,98,108,164,187,188,189,189,190,190,190,144,147,152,156,158,160,163,166,175,185,175,164,148,126,106,87,81,92,97,128,179,189,189,190,190,191,191,191,145,148,152,156,158,160,164,166,177,185,175,165,148,130,110,91,83,89,107,159,187,189,190,190,191,192,192,192,144,148,152,156,158,161,164,167,181,186,174,163,148,132,109,91,85,97,141,181,188,190,190,191,192,193,193,192,145,148,153,157,159,162,164,171,185,183,171,158,144,126,102,90,94,136,176,188,189,189,190,191,192,193,193,193,145,149,153,157,159,163,165,178,187,179,167,150,132,116,98,91,123,173,187,189,189,190,190,191,192,193,193,193,145,149,154,157,159,162,165,182,185,177,163,144,126,112,97,96,152,186,189,190,190,190,191,191,192,193,193,193
7,141,145,149,152,154,155,156,156,156,158,158,159,159,158,158,158,157,158,157,156,156,154,158,141,159,171,166,171,146,150,153,155,158,158,159,160,161,161,162,162,161,161,160,159,158,158,158,157,156,155,155,155,165,124,175,171,152,155,157,160,162,163,164,165,165,165,166,165,164,164,163,163,163,161,160,160,158,158,155,159,150,131,179,171,157,159,162,166,167,167,169,169,169,169,169,169,169,168,167,167,165,165,164,163,162,160,160,156,163,179,166,171,161,164,168,170,172,173,174,173,174,173,173,173,172,172,171,170,169,169,168,166,166,163,161,160,161,148,129,172,164,169,172,174,176,177,178,178,178,177,178,179,177,177,176,175,175,174,172,171,170,168,165,164,164,155,149,174,168,173,176,178,180,182,182,182,182,181,182,182,181,181,180,178,179,178,177,176,174,172,169,167,166,163,163,176,172,176,180,182,184,184,185,186,185,185,185,185,184,183,183,182,181,182,180,178,177,175,174,172,170,168,170,183,177,180,183,185,188,189,190,193,195,192,192,191,191,190,190,190,189,186,184,181,180,178,177,176,173,170,171,186,181,184,187,190,193,191,185,168,153,166,171,175,174,172,170,167,175,182,187,188,188,185,181,177,177,172,173,187,183,187,192,192,190,188,179,146,100,116,142,156,149,149,148,140,132,139,146,144,159,168,179,184,179,182,180,187,188,191,189,187,186,182,175,146,120,121,126,137,136,139,142,134,115,127,131,125,134,137,162,161,187,151,153,192,186,185,185,190,189,185,176,143,111,122,126,132,128,131,138,130,116,112,116,124,130,134,156,140,170,64,117,206,190,191,191,195,193,187,170,140,96,104,120,136,143,137,141,128,127,120,128,138,122,124,125,138,145,81,76,146,195,192,191,195,189,183,170,126,99,112,116,125,124,125,126,126,121,114,124,136,127,128,127,145,159,134,75,63,193,195,192,193,194,187,185,147,92,91,87,78,108,125,115,112,111,117,123,128,121,118,116,116,132,110,76,67,197,192,190,195,187,180,193,156,90,82,87,76,102,158,202,199,204,203,181,129,76,78,78,75,76,70,69,69,190,184,183,185,172,174,175,138,97,90,92,93,82,70,176,191,136,110,77,58,57,52,52,65,62,64,68,67,185,184,179,174,169,167,166,136,93,81,93,103,100,86,77,62,49,54,67,65,57,60,56,55,59,57,66,68,180,176,171,168,167,168,177,147,89,65,53,85,93,82,80,66,59,50,62,71,58,49,58,57,55,61,57,37,168,164,169,168,168,166,165,143,90,70,62,67,88,96,100,67,58,58,46,64,68,52,44,52,55,67,36,14,160,155,155,151,147,145,132,110,91,82,75,64,44,63,70,43,45,66,50,47,61,67,49,41,47,47,43,36,152,139,126,120,117,114,112,95,86,74,51,72,39,32,55,58,38,56,61,47,50,60,62,44,43,42,44,42,139,133,114,110,102,119,124,73,51,62,30,61,59,27,45,62,49,41,61,58,48,49,59,54,39,42,42,42,112,115,119,129,163,186,86,69,50,56,38,42,66,34,31,57,60,39,50,60,51,47,46,56,41,38,42,41,106,198,204,217,220,112,58,74,60,40,47,31,58,51,22,47,62,47,44,53,55,47,41,47,49,32,38,41,63,160,151,161,124,60,69,56,48,51,40,29,40,61,24,32,58,54,47,48,49,47,40,39,48,38,31,38,47,118,116,103,77,63,59,57,34,52,45,23,29,61,37,21,49,59,48,49,46,45,39,38,41,44,30,32
22,82,88,92,96,102,107,113,116,119,122,124,125,126,127,128,128,127,126,126,126,125,124,123,123,122,121,120,118,83,90,94,98,104,110,114,116,119,122,124,126,128,129,130,131,129,129,129,127,126,125,124,124,123,123,121,120,85,93,95,99,106,113,115,118,122,123,125,128,129,130,129,127,130,130,129,130,128,126,127,125,125,124,122,122,86,93,95,101,108,112,117,120,121,122,127,130,129,131,131,167,91,118,133,128,135,135,111,129,125,125,124,122,87,94,97,101,109,115,119,121,126,172,91,122,135,132,137,180,72,105,139,125,158,130,77,133,127,125,125,124,90,94,96,103,111,116,120,122,129,183,83,114,139,131,144,170,78,104,140,128,167,105,81,136,127,127,126,126,91,96,97,105,111,118,122,125,125,177,105,102,142,131,150,176,88,107,140,138,167,93,86,138,128,129,128,126,91,97,101,107,114,118,123,127,124,187,137,94,144,133,154,176,94,110,138,154,175,87,100,139,131,131,130,128,92,98,102,109,115,121,123,129,123,181,163,91,141,135,158,167,94,108,140,173,169,83,114,139,132,133,132,129,93,100,103,109,116,122,126,132,125,173,179,89,130,138,163,171,97,103,148,185,147,71,124,139,134,133,133,131,95,101,105,111,116,124,129,133,127,161,199,123,112,142,169,179,99,104,172,187,121,66,136,139,136,135,133,132,97,102,106,112,119,125,131,130,147,163,135,128,103,145,169,171,89,122,199,176,99,84,146,139,137,136,135,133,98,103,107,114,122,126,133,129,191,197,158,123,70,132,157,152,137,164,189,162,77,112,148,139,139,138,137,135,98,104,108,116,124,129,134,136,198,208,190,137,62,66,127,144,166,160,151,122,73,140,146,142,141,140,138,137,100,105,109,117,125,131,134,144,189,175,165,172,123,77,74,104,139,141,132,77,88,153,144,145,144,142,140,138,100,105,110,119,126,131,134,147,201,173,146,187,185,131,68,53,101,128,117,62,100,155,145,146,145,144,142,140,100,106,110,119,128,133,132,161,209,159,132,132,189,170,117,57,55,97,107,66,114,157,147,148,147,146,144,142,101,107,111,120,129,135,132,173,205,155,111,83,135,181,161,110,52,54,76,60,136,156,150,150,149,148,146,144,102,107,110,120,128,136,133,183,212,159,102,126,110,171,190,157,103,49,44,63,151,154,152,151,149,149,147,145,102,106,110,120,128,135,133,183,206,161,97,137,135,193,192,173,138,90,44,71,160,152,152,151,149,148,146,145,102,106,111,121,130,135,134,182,209,151,110,138,162,211,193,172,152,99,40,81,165,151,152,153,151,149,147,146,101,106,112,122,131,138,135,179,214,140,130,132,186,215,198,166,128,85,39,94,165,154,155,153,152,151,149,147,100,106,111,121,129,137,136,173,211,141,147,130,203,210,193,168,109,68,44,115,163,154,154,151,150,150,147,146,102,107,113,122,131,140,140,171,209,153,158,132,211,201,188,156,100,61,51,146,168,162,161,159,159,156,155,156,85,88,91,95,96,100,96,122,207,174,166,141,205,188,173,134,87,62,56,97,99,98,98,97,97,98,91,82,63,63,64,65,63,62,59,73,202,182,165,136,187,174,140,109,77,62,56,52,50,48,49,47,47,36,44,103,71,71,72,73,71,72,71,78,189,167,150,128,151,152,115,96,83,68,58,63,62,61,59,61,59,87,162,171,71,72,72,71,70,71,71,68,162,143,127,119,123,136,124,97,86,70,61,63,61,61,60,54,107,181,168,138
19,135,138,139,139,140,143,143,142,143,144,144,144,143,143,142,140,145,142,138,138,138,138,138,137,136,136,135,135,137,138,140,141,142,144,144,144,145,145,145,145,145,143,144,137,106,126,145,139,140,140,140,139,137,137,136,135,139,139,141,143,144,145,146,146,146,146,146,147,148,144,157,134,85,70,148,142,143,141,140,140,139,138,138,137,140,141,143,145,146,146,148,148,149,146,147,149,147,149,166,135,101,55,138,145,144,143,143,143,139,138,139,140,141,144,146,147,147,148,149,149,149,149,149,150,147,155,163,130,96,50,137,148,145,145,143,141,144,141,140,141,142,145,146,147,148,151,152,150,150,150,149,151,147,160,158,110,78,44,135,145,141,137,141,162,128,139,143,143,144,146,147,149,150,152,152,151,152,152,151,151,147,157,154,117,110,123,148,137,147,143,154,193,92,131,145,143,145,146,149,152,151,152,152,152,152,152,150,154,157,156,148,145,154,169,161,142,140,142,119,96,97,146,145,144,146,147,151,152,153,155,153,153,150,158,166,176,179,168,149,128,122,115,111,91,82,81,90,112,146,146,144,145,149,150,151,153,155,155,157,160,160,174,178,175,165,152,145,142,132,68,68,97,121,134,150,155,148,149,147,146,151,152,153,155,155,161,177,169,167,162,164,163,160,160,157,156,146,68,104,166,155,154,150,150,150,149,148,147,152,152,154,156,153,171,186,173,164,163,170,172,174,165,157,150,121,58,79,163,150,152,152,150,150,150,150,147,153,153,156,159,155,170,181,161,155,166,174,176,165,156,157,160,142,62,48,153,154,152,151,150,150,151,151,148,153,155,157,159,157,171,170,154,157,160,154,153,159,168,158,160,153,70,31,120,161,151,153,153,151,151,151,150,155,157,158,160,160,177,156,158,160,149,138,163,167,156,149,149,123,65,29,93,166,153,155,154,152,151,151,151,157,157,159,161,162,170,166,170,167,169,173,173,161,152,144,132,102,56,29,72,167,156,156,155,154,153,153,152,157,159,160,163,163,163,187,177,168,168,170,159,145,137,149,161,153,79,17,101,168,156,157,156,154,153,153,153,159,160,162,164,166,161,183,182,162,156,139,108,134,170,168,155,153,86,45,157,161,159,158,158,157,156,155,154,159,162,165,164,167,162,166,175,160,155,145,152,175,166,144,131,123,71,40,150,163,160,160,159,159,158,157,156,159,162,165,165,166,165,162,171,181,173,165,168,161,144,133,118,98,50,48,159,162,160,161,160,160,159,157,156,162,164,165,167,168,168,164,167,180,167,150,154,146,131,108,74,45,53,140,166,161,162,161,161,161,160,159,158,163,166,166,167,170,171,160,168,169,159,140,135,112,90,61,35,18,128,177,162,163,162,162,163,161,160,160,159,163,166,167,169,170,172,161,165,165,151,130,117,99,72,48,36,72,174,163,166,165,164,164,164,162,160,160,160,163,166,168,171,171,172,162,155,161,147,122,111,109,72,48,38,86,178,165,167,167,166,166,165,164,162,161,160,163,166,168,171,171,174,162,150,152,145,118,101,76,56,50,43,50,168,169,167,167,167,166,166,165,163,162,160,163,165,167,169,170,173,160,149,142,143,132,112,79,60,53,44,48,164,169,166,166,165,165,164,164,162,159,158,164,166,167,169,170,174,153,152,149,139,126,113,82,61,53,42,57,169,167,167,167,165,165,164,164,162,161,159,164,166,168,170,170,175,147,161,167,154,122,93,70,53,51,35,100,177,166,167,167,166,166,166,165,163,161,160
12,139,142,146,149,152,156,157,160,163,166,168,171,175,178,176,175,178,180,181,182,181,182,180,181,181,184,184,184,140,144,149,151,154,157,159,162,165,167,171,174,176,180,182,183,179,180,175,173,186,184,184,184,184,185,185,185,143,148,150,153,156,159,162,164,166,169,175,176,176,160,134,161,188,187,158,111,128,196,189,191,192,186,189,185,144,149,151,154,157,161,163,166,170,172,173,181,201,166,135,103,192,200,165,132,70,179,163,153,168,194,188,190,146,150,153,157,158,162,164,168,171,174,172,194,221,188,168,99,155,211,157,147,93,85,135,129,90,160,199,189,147,150,155,157,160,163,167,171,173,176,174,200,224,202,166,108,150,219,160,148,87,58,154,132,88,71,200,190,149,152,157,160,163,166,169,173,173,177,178,199,224,218,176,129,148,225,169,144,68,79,170,127,76,43,177,199,150,155,158,161,164,168,170,174,178,179,179,184,172,212,191,140,132,215,160,121,48,95,173,121,71,39,162,205,152,157,159,162,165,169,172,174,177,178,195,160,98,133,186,117,112,185,130,108,53,83,159,119,76,38,158,208,152,156,161,164,166,170,174,177,176,203,202,135,105,75,145,102,92,166,123,110,57,78,147,118,81,33,157,211,155,157,161,165,167,171,175,173,197,201,183,149,125,74,96,103,67,152,122,89,54,78,151,123,81,35,176,204,155,160,163,165,168,172,175,178,198,156,179,169,126,85,52,98,86,129,151,104,63,110,200,153,89,49,202,199,156,161,164,166,170,173,175,186,201,151,158,161,119,92,37,96,109,124,178,124,68,132,207,162,66,40,193,204,157,162,165,167,172,175,175,190,194,162,128,148,127,90,31,53,94,59,122,118,39,102,149,81,59,57,98,211,159,163,165,168,172,177,176,195,194,162,120,153,121,75,49,6,19,0,90,156,138,162,146,111,94,79,64,193,159,164,166,170,174,177,176,198,198,162,126,135,114,69,57,12,20,64,175,195,189,174,155,120,92,70,76,200,161,165,168,172,175,177,178,199,197,161,123,109,113,81,71,22,48,140,196,193,187,163,143,109,84,59,93,214,162,165,169,173,176,179,180,201,197,171,146,111,91,101,73,47,109,193,197,206,182,152,131,104,79,54,111,220,162,166,168,173,176,180,180,201,195,178,160,143,112,93,96,121,161,210,206,212,171,140,121,93,73,55,164,215,163,166,169,175,178,180,180,199,201,185,165,155,148,124,128,146,161,210,209,200,155,126,112,88,62,88,211,207,163,166,170,174,176,181,182,192,198,190,172,163,161,143,127,136,156,215,205,178,146,118,101,82,52,132,218,204,162,165,169,171,176,181,184,188,190,188,178,168,162,149,131,123,164,215,196,162,138,110,87,76,51,170,216,206,163,165,168,172,177,182,184,185,181,184,180,170,165,150,129,116,162,196,180,140,120,98,78,65,70,203,209,207,163,165,170,174,178,181,183,185,186,187,184,172,164,149,132,110,155,177,156,123,105,84,74,51,126,217,206,209,163,166,170,175,179,181,183,186,188,191,179,166,158,139,121,103,148,154,126,111,89,72,65,66,192,211,207,209,163,166,170,173,178,182,184,186,184,189,167,146,139,119,96,104,138,137,110,101,80,73,57,137,216,207,207,208,163,167,171,173,177,182,184,183,183,194,159,140,129,100,98,106,134,130,108,94,79,64,78,202,209,207,208,208,163,167,171,176,179,182,187,178,190,199,161,151,131,110,114,118,139,124,107,81,70,53,140,213,207,209,210,210
6,213,214,214,214,215,216,217,218,217,218,217,217,216,215,216,216,214,213,214,214,211,208,209,209,208,205,204,204,215,216,217,217,217,217,219,219,219,219,219,219,219,218,219,219,216,215,214,214,214,211,211,210,209,208,206,205,216,218,220,219,219,219,219,220,222,222,222,222,222,223,223,222,220,218,216,216,215,214,211,210,208,208,207,204,217,218,220,221,221,221,221,221,224,224,224,223,221,222,223,223,221,220,218,217,217,215,213,212,210,210,210,208,220,221,221,223,224,223,223,223,224,223,222,223,225,225,224,224,223,222,221,221,219,217,217,214,213,213,210,208,223,222,223,225,226,225,224,224,224,224,224,224,225,225,224,224,223,223,222,222,221,221,218,217,216,214,211,211,223,223,225,225,225,225,226,226,226,225,225,225,227,227,226,226,225,224,223,223,220,220,218,216,216,214,214,214,226,227,227,227,227,228,229,227,226,227,228,229,230,230,231,230,227,227,225,224,224,224,221,220,216,212,214,214,227,227,227,229,229,229,230,232,231,231,225,223,228,227,227,225,226,226,228,217,221,215,217,212,209,236,223,211,228,228,230,230,233,235,238,239,235,226,205,186,212,225,228,225,230,224,214,215,218,213,219,211,214,246,198,209,232,234,235,236,236,231,225,226,229,226,219,171,157,197,210,211,208,200,194,191,185,185,183,183,176,175,192,221,234,229,228,229,228,220,218,223,224,224,225,179,128,124,123,143,147,156,161,162,173,182,188,190,196,209,224,219,225,219,219,218,214,209,210,207,200,194,180,151,138,134,112,144,210,221,225,229,230,233,234,231,229,233,230,228,224,215,207,202,201,205,204,196,193,201,199,151,125,130,147,140,170,233,241,233,232,231,228,230,224,198,182,181,221,210,198,195,197,197,200,200,204,219,224,168,124,112,133,147,131,139,221,237,233,233,232,230,159,121,119,116,218,208,195,186,182,186,197,203,209,207,193,169,143,136,130,128,141,127,162,244,234,230,242,190,119,130,125,120,221,213,201,192,186,186,188,191,208,214,176,145,148,154,151,137,129,120,170,239,229,235,230,152,121,118,115,117,216,211,204,197,192,192,189,185,192,210,194,144,113,138,164,163,142,116,208,247,238,232,145,116,103,86,78,64,210,210,209,202,195,194,195,194,205,215,181,146,134,127,134,151,158,131,176,197,161,137,107,103,89,72,63,54,196,212,213,212,202,198,196,192,197,207,185,155,149,154,142,128,137,136,126,121,116,103,96,85,77,67,58,57,114,194,218,209,205,204,196,191,179,178,175,162,172,170,157,152,132,102,97,112,114,103,95,83,71,64,55,51,40,83,184,192,175,172,164,163,162,145,134,116,138,155,167,160,130,88,68,95,98,89,89,90,80,63,52,49,44,37,59,169,200,200,209,216,230,227,125,109,112,136,151,127,123,94,66,69,90,84,79,87,89,68,54,47,33,17,97,212,217,216,220,221,221,226,204,176,166,154,117,88,124,90,61,53,70,79,74,79,90,77,56,47,21,20,116,130,125,127,130,131,133,136,142,143,156,149,94,78,120,89,53,53,62,68,69,74,86,81,58,48,24,19,106,129,124,123,124,124,126,123,119,133,146,134,83,72,110,81,51,52,60,62,63,67,76,79,61,47,25,17,124,135,131,133,132,128,128,131,139,130,107,100,86,65,102,74,53,42,55,58,59,63,69,76,68,51,8,37,140,132,133,132,134,133,133,128,117,102,99,85,82,66,93,71,52,45,47,51,54,59,66,73,69,54
6,189,189,190,191,190,191,191,190,192,193,192,193,193,192,193,193,191,192,192,193,192,192,191,191,191,190,190,189,190,190,191,192,192,192,192,192,192,192,192,193,194,194,194,194,194,194,194,194,193,194,193,192,192,191,190,191,190,191,192,192,192,192,193,193,193,192,192,193,194,195,195,195,194,194,196,196,196,195,194,193,193,191,192,193,191,191,192,193,193,193,194,195,194,195,194,193,195,195,196,197,197,197,196,197,196,194,194,195,192,194,194,193,191,193,192,192,195,195,195,195,195,196,198,196,196,196,194,190,186,187,186,187,183,176,164,165,181,178,192,195,193,193,193,194,195,195,195,196,196,194,193,191,184,183,185,179,181,184,197,197,187,179,167,157,169,151,187,197,192,193,193,195,195,197,196,192,184,178,181,180,181,193,194,182,174,177,179,172,159,145,138,141,148,166,197,196,191,192,194,196,196,194,191,186,178,170,169,173,177,171,163,149,138,131,131,143,151,160,172,185,193,198,197,196,192,193,194,192,191,190,189,189,178,160,141,134,129,118,116,117,120,152,185,198,201,203,202,200,198,197,196,196,191,191,190,186,184,186,188,187,185,171,134,106,96,101,124,154,184,203,201,200,197,196,197,197,197,197,196,195,191,185,183,185,187,184,187,191,190,163,128,103,98,101,122,200,204,196,198,198,197,197,197,197,197,196,196,195,183,184,185,184,183,187,193,192,167,126,114,103,98,105,102,120,187,205,197,198,198,197,197,197,197,196,196,196,185,186,183,184,184,190,189,189,179,156,121,97,97,110,108,96,101,179,205,198,198,198,199,199,198,197,197,197,191,187,184,187,189,188,189,198,199,175,130,97,92,104,120,118,102,104,197,201,200,201,200,199,197,197,197,197,187,188,187,185,188,192,191,201,193,157,122,100,99,98,104,110,113,91,169,206,198,200,199,199,199,197,197,197,189,189,186,185,187,189,186,191,184,148,114,100,101,101,92,93,99,114,190,207,203,203,203,203,202,202,199,196,191,186,183,181,177,180,181,185,184,159,120,90,97,105,106,103,91,155,184,184,187,190,192,190,186,186,195,200,187,184,183,182,179,182,185,191,194,170,121,93,85,94,121,104,98,111,110,114,116,115,111,119,150,180,204,204,183,188,187,184,185,188,190,196,191,157,109,97,97,89,96,107,108,112,109,108,102,124,150,177,203,203,209,210,186,186,182,181,181,177,173,182,162,132,110,101,100,97,96,114,123,112,119,133,165,203,214,196,184,190,191,202,181,175,171,173,166,157,156,157,140,123,113,109,105,97,98,107,129,173,195,201,208,196,190,191,182,175,185,189,169,171,165,158,151,147,147,142,127,112,109,110,110,100,108,151,207,219,211,202,193,181,173,175,180,172,165,169,151,154,152,144,138,132,122,120,121,112,114,109,111,140,192,221,211,197,195,192,180,167,164,164,172,168,160,164,117,121,121,119,112,107,108,111,112,115,106,138,191,220,219,212,202,192,187,191,172,152,159,159,162,165,160,160,95,95,102,104,105,110,113,113,116,103,151,206,216,210,203,198,189,188,188,188,165,137,151,155,151,160,156,153,104,104,112,114,110,111,114,114,102,158,215,198,200,188,195,191,178,183,188,189,162,127,138,148,149,154,150,156,109,110,111,110,110,111,111,103,162,214,192,186,186,186,193,181,170,173,184,187,163,123,123,140,144,148,154,151,110,109,109,109,111,109,118,174,209,195,186,177,184,186,190,174,163,164,177,188,165,125,118,132,143,149,158,144
22,119,123,130,149,167,178,183,187,196,203,208,212,217,220,223,224,227,229,228,226,226,225,225,222,220,220,218,216,120,123,131,151,168,180,184,189,198,204,210,219,219,222,226,227,230,221,223,231,228,228,226,228,226,222,220,220,121,123,133,154,171,181,186,192,199,217,222,182,224,224,228,228,248,196,162,238,229,229,231,210,222,228,222,221,122,125,135,157,172,185,189,197,197,239,244,140,217,230,230,231,255,194,142,239,232,236,241,157,175,238,225,223,122,125,136,159,173,185,191,198,200,236,255,148,204,236,230,236,255,182,155,247,231,248,238,146,182,240,227,226,123,126,137,161,176,187,193,200,204,228,255,160,187,241,232,240,248,174,173,249,236,252,216,138,216,237,230,228,122,124,139,161,176,189,194,202,207,223,255,194,170,242,236,237,225,157,185,248,252,255,187,151,243,232,232,230,123,126,141,162,177,191,195,202,210,220,255,206,157,235,240,241,227,144,194,251,255,244,164,191,246,234,235,232,123,127,141,162,179,193,197,203,214,219,255,217,145,217,245,239,232,146,210,255,255,201,140,226,243,238,237,234,122,126,142,166,181,194,199,205,216,219,255,251,170,193,252,225,209,127,239,255,253,176,152,250,240,239,238,237,123,126,142,166,182,196,202,206,216,222,241,255,177,160,237,196,193,158,255,255,235,145,198,255,243,241,239,238,123,127,144,167,185,197,201,209,219,228,233,255,167,118,185,203,228,255,255,241,187,134,241,249,244,244,241,239,122,127,145,167,186,197,201,210,221,228,228,252,193,150,211,217,229,250,245,225,139,184,255,245,246,245,244,241,123,128,147,170,186,199,203,212,219,244,230,185,193,165,197,211,237,229,241,194,126,235,255,249,248,247,247,244,122,128,147,169,188,200,204,213,221,255,221,212,192,202,162,140,199,217,204,148,129,247,255,252,251,249,247,245,120,127,148,170,190,200,204,215,222,255,242,226,227,214,165,123,114,166,164,128,138,255,254,254,253,252,249,247,121,127,149,172,190,202,206,213,230,255,251,197,172,191,196,179,137,105,109,112,138,255,255,255,255,254,250,247,122,129,151,173,192,203,207,218,231,255,255,181,112,123,195,200,176,141,121,101,110,255,255,255,255,253,252,250,120,127,151,173,191,202,206,217,225,255,255,210,191,108,246,227,192,165,142,89,91,248,255,255,254,254,254,252,118,124,149,172,191,202,206,216,222,255,255,223,197,161,255,250,205,171,146,84,106,255,255,255,254,254,255,254,117,123,148,173,192,202,206,219,221,255,255,225,198,236,255,227,206,158,135,79,136,255,255,255,255,255,255,253,115,122,147,173,193,203,206,217,223,255,255,251,209,255,255,205,212,179,128,73,161,255,255,255,255,254,254,252,107,114,143,170,191,202,207,219,228,248,255,255,210,251,251,211,200,183,122,68,208,255,255,255,255,255,255,255,142,146,157,170,183,192,197,205,215,211,255,255,212,208,229,192,172,149,95,85,228,244,238,237,237,236,236,235,153,153,148,141,146,149,148,149,156,110,147,255,187,156,174,158,132,110,88,108,143,138,136,137,137,135,138,136,150,150,152,152,153,151,152,154,153,102,60,143,161,155,166,176,149,115,78,108,150,140,141,140,140,140,116,84,153,154,152,153,153,153,153,159,128,77,84,63,114,165,169,175,138,87,33,81,155,142,142,143,120,88,62,52,153,153,152,152,152,153,156,153,94,86,83,79,66,90,121,107,64,35,22,105,154,140,144,120,72,65,54,42
23,143,146,149,151,155,156,158,161,162,164,164,167,167,168,168,170,170,171,173,173,174,176,176,176,176,177,177,177,144,147,150,153,156,158,159,161,163,165,165,166,168,169,171,172,172,173,175,178,176,176,177,177,178,177,177,179,145,148,150,153,157,158,159,162,163,165,166,167,170,170,169,171,166,170,173,156,173,178,178,179,179,179,180,179,146,148,151,154,158,159,160,162,164,165,167,169,169,169,176,176,164,156,138,106,173,180,179,181,180,180,181,180,147,150,152,155,158,160,161,164,165,167,168,167,170,177,181,163,122,122,115,152,182,178,180,181,181,181,181,181,147,151,153,156,158,159,162,165,165,168,167,174,186,169,159,116,121,160,178,184,180,181,182,182,182,183,182,183,147,151,154,156,159,160,163,165,166,169,165,186,190,142,108,138,182,134,160,183,179,182,183,182,183,183,183,183,148,151,155,157,159,162,162,164,167,170,166,188,193,150,159,201,171,132,133,190,182,182,183,183,183,184,185,185,148,152,155,157,160,161,163,165,167,170,169,193,188,187,199,178,157,165,144,159,170,183,183,184,184,185,185,185,148,152,155,158,160,162,164,167,169,170,172,191,184,190,181,180,181,173,143,101,111,171,186,184,186,186,185,186,150,153,156,159,160,162,165,168,169,169,174,179,175,178,181,176,170,163,128,91,83,135,196,185,185,186,186,186,150,153,156,159,161,163,164,168,168,178,182,171,167,176,174,170,167,152,117,92,87,98,148,190,185,186,186,185,149,153,157,159,162,163,165,167,171,201,188,173,177,168,161,153,135,137,120,93,82,100,98,155,193,185,186,185,149,153,157,160,162,163,166,169,169,196,197,185,179,154,130,95,96,148,120,91,75,101,100,148,194,186,187,187,150,153,157,159,162,165,166,169,170,190,194,181,167,155,130,84,99,150,116,88,87,106,111,182,189,187,188,188,150,154,157,161,163,164,166,169,169,191,195,173,186,152,96,76,121,112,81,81,108,110,140,194,187,189,189,189,150,154,158,162,163,164,166,169,169,190,190,182,179,142,99,66,81,62,73,90,114,113,178,190,188,188,188,189,151,154,158,160,163,164,167,170,170,190,188,188,177,142,111,59,59,78,100,109,106,136,194,187,189,189,188,188,152,156,158,160,163,165,167,170,171,192,187,189,176,140,116,74,75,103,116,120,105,169,193,188,190,189,189,188,152,155,159,161,164,166,168,169,173,192,189,187,171,140,117,80,87,112,120,113,130,194,187,190,190,189,189,189,153,155,159,162,164,166,168,169,174,193,187,180,164,137,116,85,92,116,120,105,156,196,188,190,190,190,190,190,152,155,159,163,163,166,169,170,177,192,179,173,160,135,117,98,94,117,116,107,180,191,189,190,190,191,190,191,152,156,159,163,164,166,169,170,177,191,176,170,156,137,122,104,97,115,106,131,195,188,190,190,191,192,192,192,153,156,160,163,164,166,170,169,180,191,177,173,157,141,127,108,100,107,106,177,192,190,191,191,192,193,193,192,152,156,160,163,164,166,171,169,185,192,177,169,157,146,125,108,103,97,153,194,188,191,191,191,192,193,193,193,152,156,160,163,166,168,169,171,191,186,175,164,155,142,114,108,97,146,194,189,190,190,191,191,193,193,193,193,153,156,160,164,165,169,167,183,193,181,173,157,142,128,114,100,130,195,188,190,190,190,191,191,193,193,193,193,153,157,161,164,164,168,166,189,186,180,168,152,135,127,113,99,176,193,189,191,191,191,192,192,192,194,193,193
24,143,147,149,152,156,159,159,160,162,163,163,165,165,166,166,166,166,166,165,165,164,164,165,163,163,161,159,158,146,150,153,156,158,162,162,163,165,166,166,167,168,169,167,168,170,170,168,167,167,167,167,165,166,163,162,161,148,151,155,158,161,164,165,166,167,169,170,170,171,170,169,171,172,172,173,172,169,168,169,169,167,165,163,163,150,153,156,158,161,164,166,169,170,172,173,174,174,173,174,174,175,173,174,173,172,172,172,172,170,169,168,167,151,154,157,161,162,165,170,171,173,175,174,175,175,175,177,178,178,177,178,176,175,177,175,174,174,173,172,169,154,157,161,165,166,173,169,173,175,175,176,176,178,179,179,180,180,182,182,179,176,178,177,177,177,176,174,171,156,159,166,162,190,203,132,174,178,179,178,180,183,183,180,181,182,179,182,183,180,180,181,180,178,176,176,174,160,163,167,167,187,217,129,154,185,182,181,180,185,182,182,185,185,217,203,159,182,183,182,183,181,181,180,176,161,165,168,174,171,215,169,130,186,185,181,194,179,188,229,181,155,241,223,139,132,192,182,182,184,183,182,180,162,166,171,176,172,193,228,160,155,187,197,240,188,189,244,205,133,206,234,155,90,180,188,185,186,184,183,183,164,169,173,176,179,176,228,201,132,169,218,248,223,176,232,226,147,182,233,159,79,164,196,189,188,188,188,163,167,171,175,179,183,179,197,223,195,171,202,248,234,175,204,228,148,149,211,141,68,157,198,191,188,199,177,116,168,173,177,181,182,186,183,219,231,211,207,241,241,189,163,225,163,108,172,122,59,129,210,191,173,183,143,97,171,176,180,182,185,189,187,195,227,215,235,240,231,181,126,195,174,83,118,133,58,69,177,163,175,168,97,140,174,177,181,184,186,189,192,188,219,239,223,207,209,171,119,142,158,91,113,151,74,120,144,178,179,105,122,198,175,179,182,185,189,190,193,190,210,242,198,168,167,194,171,107,175,121,91,159,181,214,194,172,133,103,189,197,176,182,185,188,189,192,195,196,203,238,208,181,173,189,181,148,173,135,141,236,232,207,177,136,92,147,207,194,178,183,186,188,191,195,198,199,200,244,241,207,173,178,207,221,197,200,238,235,216,197,165,116,105,191,201,199,180,183,187,191,193,196,199,201,196,232,248,224,189,175,212,236,247,248,243,230,212,183,150,97,145,212,201,200,181,186,190,192,196,197,200,202,196,223,248,235,214,193,197,236,246,247,238,230,211,171,119,97,193,208,204,201,182,188,189,191,196,200,202,205,203,215,248,244,228,214,203,229,245,248,235,227,201,163,99,141,215,205,205,203,184,188,190,194,198,201,203,206,207,207,240,247,235,219,203,215,235,238,226,206,179,146,106,199,212,208,208,206,185,190,193,197,199,201,204,207,209,206,220,248,234,211,190,203,215,211,195,170,138,91,157,221,211,210,209,210,185,191,194,198,201,204,205,210,213,216,221,248,228,189,168,173,182,189,169,136,85,101,216,211,212,212,211,211,186,190,193,198,200,201,204,154,134,139,150,198,176,171,177,184,202,187,158,119,60,178,236,211,212,211,211,210,186,191,195,198,199,203,209,121,89,91,66,60,59,68,64,70,65,54,54,49,37,100,158,216,213,211,210,209,186,192,197,199,201,203,218,139,92,97,72,54,44,29,17,7,0,0,0,0,0,0,61,226,211,214,215,211,189,192,197,200,202,204,219,154,93,91,69,51,44,33,23,12,4,1,0,0,0,0,168,229,212,216,215,213
3,114,117,120,122,124,126,128,129,130,129,130,129,128,128,128,127,125,124,125,122,120,121,119,117,115,114,111,110,116,120,122,124,127,129,130,132,133,133,132,131,130,130,130,128,135,126,107,127,122,122,121,120,117,115,114,112,118,122,125,127,130,132,133,134,134,134,134,134,133,133,132,128,151,128,58,120,127,124,123,122,120,118,116,114,120,123,127,129,131,133,135,136,137,136,135,135,136,135,135,130,150,127,53,103,133,126,125,124,122,120,118,115,123,126,129,131,133,135,137,139,139,137,137,138,137,137,137,132,148,129,57,98,137,127,128,127,124,121,120,118,124,127,130,133,135,137,139,141,142,140,140,140,140,139,138,134,150,155,76,88,138,130,130,127,126,123,121,119,125,129,132,134,137,139,141,143,143,143,142,142,143,141,140,135,154,163,80,73,138,132,131,129,128,125,123,121,127,131,134,137,140,143,143,145,145,145,145,145,144,143,143,139,156,156,74,66,138,133,133,132,129,127,124,122,129,132,136,139,142,144,146,147,147,147,146,146,146,146,145,139,164,163,81,67,139,135,134,133,131,127,126,123,131,135,139,142,145,146,148,149,149,150,149,148,147,146,144,142,137,131,80,63,139,138,136,135,132,129,127,126,133,138,142,144,146,149,150,152,152,152,152,150,149,146,157,162,90,53,43,58,145,137,138,136,134,131,129,127,135,140,144,146,149,151,153,153,154,154,153,155,162,147,102,113,140,90,26,81,156,144,140,138,136,133,131,128,138,143,146,148,151,153,156,156,158,154,158,126,144,148,79,50,164,100,61,63,97,118,142,139,137,135,132,129,139,144,148,151,153,155,157,160,158,163,170,113,67,130,112,62,123,102,79,62,87,65,114,146,137,135,134,131,141,146,149,152,154,157,158,159,162,182,167,145,88,99,125,58,79,118,103,79,93,48,96,151,139,138,134,132,144,148,152,154,156,158,161,159,175,167,159,156,98,71,109,56,75,85,60,79,73,37,91,154,141,140,136,134,145,150,152,156,158,159,163,160,188,174,135,140,100,53,89,54,78,134,48,93,104,43,80,156,142,142,138,136,146,151,153,158,159,161,164,164,173,155,118,127,77,38,87,37,75,169,62,72,117,47,55,153,144,143,140,137,147,152,156,158,161,164,166,165,170,177,154,124,72,60,82,54,51,115,69,76,90,41,49,151,146,145,142,139,148,153,156,158,162,164,166,166,179,183,168,127,76,61,93,78,116,153,115,97,62,27,97,159,146,146,144,142,147,154,157,160,163,164,168,166,176,187,176,133,92,71,77,136,160,135,94,74,56,35,148,153,149,147,145,144,146,152,157,160,164,164,167,167,172,185,171,130,125,81,104,174,146,106,83,69,46,78,163,148,149,146,144,143,146,153,159,160,165,167,168,168,174,177,164,142,130,97,98,139,128,94,79,58,37,134,158,150,150,147,143,141,148,155,159,162,165,168,168,180,84,132,169,144,128,104,76,97,93,75,59,38,105,165,154,152,149,148,150,151,148,154,158,162,164,166,171,162,26,41,135,140,128,84,57,56,61,61,39,102,166,156,160,163,162,154,125,78,152,160,163,166,169,170,184,104,26,28,37,80,89,48,46,42,47,31,26,162,169,165,143,109,94,62,22,5,107,108,112,113,113,114,113,50,32,29,21,17,25,46,44,26,23,2,0,46,88,55,17,0,0,0,0,3,75,75,77,77,75,76,55,34,40,23,22,18,16,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
17,144,148,149,151,154,154,155,157,159,160,160,162,163,165,164,168,168,166,170,169,168,171,169,169,170,170,170,169,144,147,150,152,154,156,156,159,160,162,161,163,165,166,168,169,168,173,173,174,171,171,170,170,172,171,170,169,144,147,151,155,155,156,158,159,159,163,163,164,165,167,168,171,157,138,149,130,172,173,172,172,173,173,172,170,145,148,150,154,157,158,159,160,162,164,163,164,166,170,168,174,175,112,88,84,163,176,173,174,173,174,173,171,146,150,153,155,157,159,160,163,166,166,165,167,169,171,170,173,192,136,74,76,172,175,175,175,173,174,174,172,147,150,154,155,156,159,162,164,164,167,167,169,174,171,172,172,193,156,86,86,184,175,175,175,174,176,175,173,148,152,154,156,159,162,162,163,164,166,171,161,152,181,174,171,196,164,98,119,187,175,177,176,175,176,176,175,150,153,155,156,160,162,163,166,169,167,172,167,117,135,181,180,195,157,103,140,185,177,179,178,177,177,176,176,151,154,156,157,160,162,164,164,165,160,177,175,145,119,141,174,192,156,100,138,187,177,179,179,178,177,176,175,152,154,156,158,162,162,161,180,169,116,134,183,185,178,128,88,152,153,105,138,188,179,181,179,178,179,178,177,153,156,156,160,164,163,167,182,174,122,141,156,176,191,165,92,95,129,96,135,189,179,180,179,180,180,179,178,154,157,158,161,165,163,177,169,151,150,113,100,92,200,189,126,75,100,84,131,191,181,181,180,181,180,180,179,154,156,159,161,165,162,181,167,106,112,101,69,61,184,206,151,82,80,72,127,192,181,183,182,181,181,180,180,154,157,160,162,166,164,186,165,133,131,111,104,104,163,217,163,100,75,75,119,192,181,183,183,182,181,182,182,154,159,161,163,165,168,193,165,143,134,115,131,139,170,207,167,118,75,70,116,192,181,184,184,183,183,182,182,155,158,161,166,163,178,186,142,128,126,129,138,182,213,175,162,124,74,61,115,194,182,184,184,184,184,182,179,155,158,162,167,161,186,186,147,133,126,135,156,218,208,169,144,116,71,54,117,194,184,185,184,184,185,183,181,155,159,161,165,162,195,189,156,137,126,137,193,214,193,165,137,106,72,55,141,195,183,186,184,184,184,185,183,155,160,162,165,163,200,188,163,149,127,158,214,203,189,156,123,101,68,68,174,189,184,186,186,185,183,184,183,156,159,164,167,165,209,189,171,166,138,169,211,191,184,159,114,94,59,105,196,182,187,187,187,185,185,184,183,157,161,164,169,165,211,195,177,177,153,166,204,185,175,153,110,84,61,158,193,184,186,187,188,185,184,185,185,157,162,165,168,162,204,205,183,173,164,160,190,180,177,147,105,73,82,189,186,185,185,186,187,185,186,185,185,158,162,166,169,165,194,207,180,166,161,165,177,168,182,156,101,68,100,196,185,187,188,188,188,187,188,186,185,160,163,165,169,166,192,199,177,166,155,163,174,165,182,147,103,68,133,198,185,189,189,189,189,188,187,187,185,158,161,165,170,166,196,203,186,168,164,168,176,162,176,131,94,77,176,191,188,188,188,188,189,188,188,187,186,156,160,165,170,168,204,212,184,166,173,176,168,150,162,117,74,116,197,186,189,188,189,188,189,188,189,187,187,159,162,166,169,169,213,204,168,167,176,178,154,136,144,99,71,170,193,187,189,189,190,189,188,190,189,188,187,159,162,166,168,172,214,198,163,169,177,172,146,134,127,83,95,194,186,189,190,190,190,190,189,190,189,187,187
0,170,170,173,175,175,180,181,181,182,183,184,187,189,189,188,188,189,190,190,190,189,190,190,190,190,190,189,189,170,172,175,178,179,181,182,183,183,185,185,187,188,189,190,188,190,190,191,190,190,190,190,190,191,190,190,191,169,172,176,180,180,181,184,183,186,189,187,189,189,188,188,191,190,189,191,192,192,193,194,194,192,192,194,192,171,174,176,179,180,182,184,186,188,189,188,190,194,192,199,191,190,195,208,193,187,217,180,185,199,196,195,193,173,176,179,180,181,184,186,188,188,196,218,191,172,220,221,180,153,208,226,188,159,216,179,156,204,195,196,195,176,177,180,181,183,187,186,191,185,225,232,201,141,186,218,185,137,154,219,194,144,182,202,140,193,201,196,197,176,179,182,183,186,184,209,212,175,227,223,210,157,155,217,195,156,136,224,197,138,136,206,160,149,188,201,197,178,180,182,186,185,199,237,216,171,199,232,208,177,157,217,199,156,151,226,186,138,93,182,188,157,142,177,203,179,182,183,186,182,221,238,223,190,179,232,204,182,149,221,210,146,156,223,166,129,54,135,198,183,130,140,211,181,183,185,186,189,233,237,233,204,165,222,209,176,146,227,211,133,126,193,147,103,48,158,212,191,137,149,213,183,183,186,182,202,228,213,235,213,157,205,211,167,139,216,195,131,90,144,137,78,72,211,213,198,132,176,212,183,185,189,181,222,228,205,218,184,128,175,196,154,121,167,163,126,80,141,130,69,153,222,208,169,125,201,208,185,189,186,193,236,226,185,195,146,95,141,169,143,101,116,146,97,79,168,168,175,208,207,187,136,138,215,205,185,189,182,213,238,219,177,175,154,108,125,164,148,85,92,136,111,179,221,218,206,184,178,154,126,156,216,207,189,192,186,205,238,231,208,170,152,125,115,182,155,71,80,171,221,235,223,211,193,167,148,140,113,172,217,209,190,195,190,203,238,235,220,196,164,146,149,179,151,130,197,237,237,225,217,203,178,152,136,126,124,207,213,212,190,194,190,210,238,237,227,210,196,168,170,186,205,233,238,236,232,219,201,183,159,137,125,117,191,217,213,213,189,193,190,211,238,238,235,222,212,193,182,209,225,238,236,234,225,210,186,161,138,129,107,168,219,211,216,214,190,193,191,207,238,238,238,230,220,208,197,207,223,238,236,227,217,196,172,143,128,111,135,219,214,215,216,215,191,194,195,204,238,237,238,232,218,205,199,201,214,229,225,211,200,182,150,131,113,114,205,219,215,217,216,216,191,194,197,198,234,237,235,225,209,193,192,197,205,211,204,191,171,157,134,113,104,194,224,216,216,218,217,217,194,199,202,200,227,238,236,225,209,191,193,201,204,205,190,171,145,129,109,84,174,227,215,218,219,218,217,218,192,189,188,177,190,203,184,176,168,160,171,185,182,179,158,144,126,105,80,158,227,217,220,219,219,220,219,218,147,130,129,123,111,105,103,91,82,72,72,69,60,59,56,59,66,65,88,207,228,218,219,219,221,220,219,219,121,122,119,112,110,107,97,86,79,65,58,46,38,37,34,31,29,35,41,52,158,231,218,221,222,221,220,221,128,125,124,116,112,104,95,86,76,64,58,48,42,40,37,35,33,34,39,12,106,238,218,222,221,222,222,222,149,123,125,116,114,101,93,83,68,62,55,49,40,38,36,31,31,30,32,29,198,228,221,224,222,222,222,222,165,126,121,118,113,101,89,80,70,61,52,48,41,39,35,31,29,32,19,95,238,218,222,223,224,224,224,224
21,90,92,96,102,106,110,113,116,118,120,122,124,124,125,124,124,125,124,122,122,121,121,119,118,117,117,114,112,91,93,98,104,109,112,115,117,119,121,125,125,126,126,125,126,123,124,127,123,123,122,121,120,118,118,116,115,93,95,100,105,110,114,117,118,121,124,125,127,127,127,129,126,139,116,104,129,124,123,124,122,120,119,118,116,95,97,101,107,111,115,118,121,123,125,127,129,129,130,131,125,158,121,72,132,124,125,124,123,123,122,120,118,96,98,103,109,114,117,120,123,124,126,128,130,131,131,131,125,161,119,68,130,126,126,125,125,119,121,121,120,97,99,104,110,115,118,120,124,125,127,129,131,133,131,132,127,167,118,67,129,128,128,126,148,92,101,127,121,99,101,106,112,117,119,122,125,126,129,131,132,132,132,133,129,174,126,74,128,131,128,133,153,72,101,128,122,99,103,108,115,118,122,125,125,128,131,133,133,133,134,135,131,178,126,80,129,134,126,147,140,67,113,128,124,100,102,109,115,118,123,125,127,131,133,134,135,135,135,135,134,179,120,83,129,134,129,161,123,71,121,127,124,101,103,110,116,119,124,127,130,131,133,135,137,137,135,133,143,189,124,85,127,134,136,173,115,81,131,128,126,102,106,112,117,122,125,128,131,132,134,137,139,135,152,146,128,178,141,90,129,132,154,171,101,93,136,129,128,104,106,112,119,122,127,130,132,134,136,138,136,141,195,165,112,95,129,93,133,135,176,157,85,104,137,130,129,105,107,114,120,124,128,132,133,135,136,143,166,132,162,184,128,62,77,96,134,152,180,135,75,119,136,131,131,105,108,116,122,127,131,134,136,139,133,170,198,143,103,173,127,61,54,93,137,161,162,110,83,136,133,132,131,106,110,117,124,128,131,134,137,140,138,184,204,173,91,129,136,67,45,69,113,138,142,89,105,141,134,133,132,107,112,118,124,130,132,137,139,140,147,182,170,180,86,100,167,110,56,47,76,102,106,80,132,139,136,134,133,108,113,121,126,130,134,137,141,140,154,191,160,168,117,76,168,155,93,45,63,91,74,87,146,138,138,137,134,109,113,122,127,131,135,138,143,139,173,199,157,141,136,66,127,163,127,69,42,72,61,96,148,139,139,138,136,109,114,122,128,132,137,139,145,140,185,186,135,111,95,81,90,155,156,113,52,51,54,110,148,141,141,139,138,111,115,123,130,135,138,141,146,142,190,186,134,103,105,113,116,152,179,145,88,48,54,131,148,143,142,141,140,111,117,124,130,135,139,143,147,145,193,186,134,102,119,126,169,173,179,167,120,64,65,148,146,145,146,143,140,110,116,124,131,135,139,144,147,147,194,186,136,106,131,143,190,182,172,160,137,87,78,154,147,147,146,144,142,109,115,124,130,134,139,144,147,147,194,189,133,120,132,157,199,188,173,141,122,87,80,155,147,147,145,144,142,110,116,124,131,137,140,145,149,148,193,191,131,144,128,175,205,189,166,142,96,65,87,156,148,148,146,145,143,110,116,125,132,138,141,145,151,149,188,188,146,162,128,180,207,185,163,136,88,56,108,159,149,149,147,145,143,111,117,125,131,136,141,145,150,147,180,187,168,168,127,173,202,174,151,116,83,61,134,155,150,149,147,145,144,109,116,125,133,138,143,147,152,151,172,193,179,165,125,163,189,152,128,97,70,78,158,155,154,153,151,150,145,104,109,113,116,120,122,125,129,127,143,192,175,157,121,141,173,134,106,87,67,84,128,123,122,121,120,117,126
18,45,51,56,62,71,78,85,92,97,98,99,102,107,110,114,115,121,122,123,124,125,126,129,129,131,132,133,137,48,53,56,63,71,80,86,93,97,99,102,101,108,107,112,119,117,119,126,128,126,128,129,131,131,132,135,137,49,54,57,64,71,80,89,91,95,101,96,118,131,82,66,101,136,108,80,120,132,129,131,131,133,135,136,138,49,54,59,67,76,82,85,97,134,90,73,143,124,98,81,126,153,102,61,46,119,134,132,133,136,139,138,140,49,55,59,68,73,83,77,150,157,91,81,156,110,118,123,136,115,90,89,46,55,140,131,134,136,138,140,141,51,56,58,64,89,108,74,158,146,107,100,129,111,108,109,110,81,95,94,82,35,110,139,136,139,140,141,142,52,56,61,63,163,129,81,81,161,116,109,68,99,77,83,71,70,113,101,96,63,51,142,138,139,140,143,144,53,59,50,103,186,140,118,71,132,142,102,49,103,93,49,15,98,124,116,112,93,42,78,149,139,142,145,146,52,59,49,136,155,155,142,93,70,143,105,56,68,130,80,12,55,116,122,133,100,71,35,106,150,142,143,145,53,58,54,137,99,145,135,93,37,93,99,54,31,88,69,12,37,123,148,140,104,76,54,48,146,142,144,146,53,57,62,154,92,104,94,55,29,39,58,39,9,34,15,90,155,142,132,127,102,79,59,45,139,148,146,148,54,53,69,171,127,122,88,37,21,17,38,29,0,0,104,172,150,137,122,100,84,70,51,65,150,145,147,149,55,49,91,169,119,106,86,44,12,7,45,25,0,84,182,168,152,130,110,80,62,58,40,100,154,146,149,150,57,45,105,191,142,121,97,62,27,25,36,24,71,171,173,170,148,118,98,73,55,47,42,136,149,148,150,150,56,47,97,202,158,145,128,98,80,82,71,89,156,175,174,158,132,106,83,65,51,35,71,153,146,149,150,152,57,51,92,203,169,150,126,104,98,101,98,140,173,170,165,140,117,94,76,59,49,33,110,153,147,151,152,153,57,53,86,200,173,151,129,116,115,112,123,154,166,163,142,123,106,84,68,57,46,43,140,148,150,152,153,153,56,56,75,189,175,156,138,131,126,126,138,151,154,150,119,105,91,75,60,54,34,75,152,146,149,152,153,153,55,61,60,167,180,166,155,142,130,127,132,139,133,130,109,91,78,66,56,52,34,125,151,147,148,152,153,154,55,63,59,133,186,175,173,155,132,118,106,115,112,110,100,78,66,58,53,34,69,152,147,149,150,153,154,155,56,62,65,92,182,170,169,158,130,108,96,97,101,104,95,72,60,55,50,25,115,151,147,149,151,152,154,155,56,62,71,70,149,161,143,139,124,103,93,92,94,101,98,77,63,57,36,46,146,145,148,150,153,153,155,156,55,61,72,73,103,163,134,120,106,89,93,97,80,94,94,74,57,55,24,80,152,145,149,151,153,154,155,156,54,60,73,82,84,143,119,107,105,95,114,110,79,85,92,74,55,50,22,99,153,145,149,153,153,155,155,156,53,61,73,83,80,123,124,115,122,108,108,109,82,73,86,74,59,49,16,85,157,146,150,152,153,155,155,156,50,61,72,81,82,107,147,130,127,109,99,106,85,66,77,70,57,51,21,59,154,145,149,151,152,154,155,155,51,61,71,80,86,94,163,148,133,112,96,101,91,67,63,67,58,50,31,32,146,146,148,151,152,153,155,155,51,61,69,80,88,90,161,158,133,112,92,96,95,64,59,67,56,48,37,24,132,148,149,151,152,154,154,155
17,142,145,147,148,149,151,151,151,153,153,153,153,153,152,151,151,152,150,149,149,148,148,146,144,143,142,141,139,143,146,148,151,152,152,153,153,154,154,155,155,155,154,154,154,154,152,152,152,150,149,148,147,146,144,142,140,146,149,151,152,154,154,155,155,156,157,157,157,157,157,156,155,155,154,155,154,152,151,149,148,147,146,144,143,147,150,152,153,155,156,156,157,158,158,159,159,159,160,159,155,159,158,153,157,154,154,152,150,149,148,146,144,150,153,154,155,156,158,158,158,159,160,161,161,160,161,158,166,168,135,127,161,155,155,154,154,151,149,148,147,151,154,156,157,158,160,161,161,160,161,162,162,162,163,158,172,191,114,104,164,157,157,156,155,154,152,150,149,153,155,157,159,160,161,162,163,164,164,164,163,164,164,163,164,201,142,110,165,158,159,158,157,156,154,153,152,155,157,160,161,161,162,164,165,165,166,166,167,166,166,165,166,210,172,121,163,161,160,159,158,157,156,155,154,156,159,161,163,164,165,166,166,167,167,167,168,169,167,166,173,217,191,125,153,166,162,162,160,159,159,157,155,159,161,162,165,166,167,167,168,168,170,170,169,169,169,164,184,212,192,127,142,171,164,163,162,161,160,159,157,160,162,164,167,168,168,168,170,170,170,169,170,190,190,159,160,200,201,133,134,172,165,165,163,162,161,161,159,161,164,165,168,169,169,171,171,171,173,177,170,207,199,180,140,161,185,145,128,173,167,166,166,164,163,162,161,163,165,167,169,171,171,172,172,171,202,217,174,157,190,188,197,192,143,119,122,172,168,168,167,166,164,163,162,164,166,168,170,171,172,173,173,177,203,194,186,144,157,142,191,201,159,102,108,173,171,170,168,167,167,165,163,165,167,170,171,172,173,175,175,181,203,138,155,173,110,90,114,202,187,121,90,166,174,170,170,168,168,167,165,166,168,171,172,173,174,177,174,185,197,152,142,134,112,112,92,188,211,151,86,147,178,171,171,170,169,168,166,168,170,171,174,175,177,179,176,188,209,185,153,132,132,139,124,177,217,171,100,140,180,172,173,172,169,168,168,170,171,172,175,177,178,179,176,192,209,160,139,142,156,159,168,205,211,178,114,138,183,174,174,174,177,176,168,170,171,174,175,177,178,179,177,190,208,175,156,153,170,166,203,217,198,168,118,136,185,175,178,167,138,131,109,170,172,173,175,177,177,179,177,188,217,191,165,153,173,184,214,216,194,156,113,140,184,177,171,108,93,91,86,171,172,174,176,177,178,180,180,186,217,199,181,159,177,205,217,207,185,150,107,137,182,181,135,89,95,92,90,170,174,176,177,179,180,181,182,185,216,209,193,175,175,207,217,198,179,145,99,140,194,142,90,81,71,65,54,171,174,177,178,180,182,182,182,183,214,215,200,191,180,199,212,189,173,144,93,133,136,89,80,73,58,56,44,173,175,178,179,180,183,183,183,182,207,217,206,198,183,179,201,180,172,134,96,92,89,88,81,67,49,46,48,168,171,175,178,179,181,182,184,183,196,217,207,194,174,166,179,170,172,131,91,77,86,83,86,78,52,38,41,111,113,117,119,117,117,120,123,121,141,217,205,181,160,157,162,171,164,120,85,58,72,73,71,87,69,39,34,95,98,99,96,96,96,96,95,94,112,214,184,162,150,152,159,169,148,97,78,64,47,66,58,77,84,50,32,104,106,106,103,106,108,107,106,112,73,180,182,158,150,159,156,151,123,75,28,50,43,49,53,62,82,64,36
24,110,117,122,126,129,133,135,137,139,142,143,146,148,150,151,152,153,154,155,156,158,159,160,159,160,160,159,160,112,118,124,128,131,134,136,138,141,143,144,149,149,151,152,154,155,156,158,160,160,161,161,160,160,160,161,161,114,120,125,128,132,135,137,140,142,144,146,149,152,153,153,155,156,158,160,161,161,161,161,161,162,162,162,163,115,120,127,131,133,136,137,140,143,145,147,150,153,154,154,157,157,160,161,161,162,163,164,162,164,165,164,165,117,122,128,132,135,136,140,141,145,147,150,151,153,153,155,158,159,160,160,162,164,166,165,164,165,165,165,166,118,123,128,133,136,143,133,143,145,148,150,153,154,155,157,159,160,161,162,163,164,165,165,165,166,167,167,165,118,124,129,130,152,149,100,141,147,149,151,155,156,157,160,160,162,162,164,165,165,166,167,167,168,168,167,169,119,126,130,132,168,124,98,145,148,151,153,155,157,158,160,160,163,164,165,167,170,170,167,168,169,170,169,169,121,128,128,145,169,106,111,150,147,153,157,156,158,162,163,162,163,165,166,157,137,150,171,169,170,170,170,170,121,129,125,164,160,94,126,151,151,148,141,156,156,141,153,167,165,169,144,112,94,101,170,172,171,171,171,172,122,129,130,181,141,122,137,137,169,150,108,136,157,131,112,153,173,159,115,89,90,135,174,171,172,173,173,172,124,127,138,184,142,180,148,128,168,148,100,140,148,133,99,117,186,143,102,88,154,177,172,173,173,173,173,173,125,125,154,182,171,188,156,128,162,138,93,135,139,116,87,147,167,125,90,122,183,170,174,174,175,174,174,175,126,124,165,181,170,204,156,123,157,132,86,78,123,118,125,158,130,103,89,163,176,174,175,176,176,176,176,176,128,124,173,194,166,194,150,111,162,119,101,113,148,153,139,133,122,87,119,182,174,177,177,176,176,177,177,177,126,134,183,182,163,176,137,98,157,163,171,175,155,136,120,110,113,87,154,182,176,177,177,178,178,178,177,178,120,158,166,152,140,155,144,121,181,197,182,167,147,128,108,102,99,99,178,178,178,178,178,179,180,180,179,179,125,186,169,147,131,131,146,188,202,190,181,168,141,118,101,99,85,131,187,178,180,180,180,180,180,180,180,180,145,202,169,152,141,122,147,207,190,180,171,150,130,110,96,93,81,159,184,180,181,181,182,182,181,181,181,181,175,205,170,163,155,164,192,199,183,167,158,137,116,102,94,92,86,168,184,181,181,181,182,183,183,183,183,182,192,205,178,170,163,184,194,181,168,154,147,126,108,99,94,87,102,183,181,182,183,183,182,184,184,183,183,183,195,213,186,172,161,174,182,171,162,143,139,118,103,93,91,80,147,186,181,183,183,184,184,185,185,184,184,184,185,218,190,179,166,169,179,174,157,142,133,111,97,88,74,120,186,182,183,184,185,185,185,186,186,185,185,185,165,210,186,174,174,165,165,170,148,130,121,105,86,77,126,178,181,182,184,185,186,187,186,185,185,186,187,187,153,195,188,177,178,165,151,162,148,126,114,94,71,126,185,180,182,183,184,185,186,187,187,187,188,188,187,188,145,192,189,178,168,164,145,155,143,125,110,78,94,175,178,180,183,184,185,185,186,187,188,188,188,189,189,188,146,198,191,172,156,163,145,146,138,121,109,76,127,184,178,181,183,185,185,187,188,187,188,188,188,189,190,189,151,198,192,165,148,166,142,139,139,119,104,80,134,184,178,182,184,185,186,188,188,189,189,190,189,190,190,190
24,130,135,140,144,147,149,151,153,154,154,156,157,157,156,157,157,156,155,155,155,154,154,153,153,152,152,149,148,132,136,142,145,146,149,152,153,155,156,158,158,158,158,159,158,157,157,158,157,155,155,153,154,153,152,150,149,133,138,142,144,151,151,153,154,155,157,158,159,159,158,159,159,158,158,159,158,157,156,155,155,153,151,151,150,135,137,152,165,134,154,154,156,157,159,160,160,160,159,161,160,159,159,159,158,158,158,156,156,154,152,152,151,137,134,170,184,109,157,156,157,158,160,161,162,162,161,162,162,161,160,159,158,158,158,157,157,155,153,153,153,138,136,173,178,104,155,158,159,160,161,163,164,164,165,163,163,162,162,161,160,159,159,159,158,157,156,154,153,140,137,173,184,102,148,161,160,162,163,164,165,166,166,165,164,164,164,162,161,161,160,160,158,157,157,155,154,141,139,168,191,111,144,163,160,163,165,165,165,166,166,166,166,166,165,164,163,162,162,161,160,159,158,157,156,142,142,163,194,115,135,166,162,165,165,167,168,166,167,169,167,167,166,165,164,163,163,162,161,160,160,158,156,142,143,160,201,134,118,165,164,164,172,168,163,180,175,157,170,167,167,167,165,165,163,162,161,161,161,160,158,142,147,157,209,160,118,194,175,150,202,171,124,191,190,125,143,176,169,169,167,167,167,166,166,162,161,160,159,143,148,155,199,166,148,225,174,157,207,174,126,185,178,137,107,168,173,170,170,167,161,155,151,164,161,161,159,145,151,153,196,185,179,228,174,157,213,167,137,201,166,127,90,144,179,169,170,148,127,109,90,144,168,162,161,147,153,153,200,205,192,229,182,142,215,157,141,200,160,106,77,136,175,170,165,128,99,103,125,157,167,164,163,147,152,160,197,199,189,217,186,133,201,159,144,190,150,83,56,130,178,168,144,108,124,168,173,168,165,165,164,148,150,170,194,170,175,198,184,128,191,164,144,187,129,67,95,145,172,135,110,117,175,173,170,169,167,166,165,150,151,177,215,157,151,183,173,122,195,157,146,182,117,147,172,160,137,101,106,168,176,172,172,172,171,168,167,151,149,183,231,173,140,174,169,135,202,136,134,186,177,188,165,140,123,96,162,181,175,174,173,173,172,170,167,150,148,185,234,185,132,167,178,163,195,123,160,209,184,168,158,125,104,143,184,175,175,174,174,173,172,170,167,151,150,185,230,187,144,159,171,159,176,186,213,198,176,163,143,108,117,183,178,178,176,175,174,172,171,170,168,151,150,185,229,194,169,153,177,213,224,227,200,184,173,155,121,100,162,184,179,179,178,178,176,174,172,172,169,151,152,175,230,204,176,165,188,223,225,217,194,173,155,138,103,143,186,179,180,179,180,178,177,176,173,173,171,150,155,163,224,207,179,173,194,227,223,204,188,160,136,112,126,186,181,181,180,179,179,175,176,175,173,173,172,152,158,166,213,196,179,175,195,216,204,185,167,146,121,115,181,189,187,187,186,185,184,181,181,179,181,177,170,127,126,132,202,188,186,182,191,204,195,168,144,129,108,116,134,128,128,127,127,126,126,127,127,126,116,120,148,104,101,96,191,197,193,190,194,200,185,151,129,118,103,97,94,93,93,91,90,89,90,90,83,78,113,161,173,110,111,99,191,214,195,197,195,190,173,141,121,109,103,104,104,104,103,102,100,99,100,98,113,166,194,176,153,110,111,97,184,225,200,206,189,178,169,143,113,102,103,102,103,104,102,102,101,101,95,128,194,194,165,163,141
0,146,147,146,146,146,146,146,145,145,144,143,144,143,141,141,140,140,139,137,137,136,134,134,133,132,131,129,129,147,148,147,148,148,147,147,146,146,144,144,145,144,143,142,142,141,140,140,138,137,135,134,133,132,131,130,130,147,148,148,148,149,148,148,148,146,146,145,145,144,144,144,143,140,140,139,138,138,137,135,134,132,132,131,130,149,149,149,149,149,150,150,149,147,146,147,146,149,149,144,146,146,142,138,138,137,138,137,135,134,133,131,130,148,151,151,151,150,150,149,148,151,151,147,135,108,118,149,130,116,132,145,142,142,141,136,138,136,135,132,131,151,152,152,152,151,149,149,142,122,132,145,116,87,61,103,104,76,59,122,117,103,127,141,132,135,135,134,133,152,152,151,152,151,150,149,133,104,83,112,129,91,60,69,115,84,53,52,90,61,46,117,105,103,140,133,132,153,153,152,152,151,152,151,147,125,99,72,126,99,68,69,119,92,58,57,104,80,35,56,103,75,142,133,133,153,153,153,153,151,155,147,140,130,108,61,111,105,71,68,118,94,59,47,100,81,42,32,94,68,134,137,135,154,154,154,153,152,157,144,108,131,92,51,113,101,65,62,111,85,51,32,80,64,34,28,94,56,104,144,135,155,154,155,154,153,153,120,84,126,74,48,106,81,45,55,98,73,40,36,94,74,24,32,100,79,59,133,138,154,154,155,155,156,153,133,106,124,85,62,99,81,43,54,100,73,30,73,115,81,17,37,99,92,49,89,147,155,156,155,155,158,149,129,105,109,93,65,104,98,45,70,116,85,34,98,122,56,11,79,107,91,41,77,147,156,157,158,157,153,127,100,85,72,58,53,115,97,41,78,121,89,38,12,42,6,46,112,110,76,30,117,141,158,157,158,158,153,131,104,79,54,44,41,70,75,37,33,76,57,33,39,9,30,105,112,98,45,66,147,136,158,157,159,155,147,129,108,80,59,58,60,53,61,58,44,48,79,108,114,99,85,107,98,72,31,123,144,137,159,159,159,155,147,132,111,85,61,55,61,68,83,95,100,116,126,117,106,107,80,84,87,37,59,150,138,140,159,159,160,158,150,134,113,94,71,61,63,76,105,117,127,129,123,111,102,96,71,64,69,18,112,148,139,140,159,160,160,157,152,134,118,100,80,79,67,100,132,131,132,128,119,105,98,92,62,50,30,51,151,143,142,140,159,160,159,157,155,139,123,107,94,92,96,129,137,134,134,127,114,102,92,78,52,25,30,133,147,143,144,141,160,160,159,158,156,140,126,115,104,98,124,132,136,138,132,117,108,94,80,64,28,21,128,150,143,144,143,142,159,161,161,155,153,145,132,119,105,103,132,133,138,137,125,107,95,85,69,40,13,120,153,143,146,146,144,142,160,161,161,154,151,147,135,123,107,102,130,134,131,126,111,94,82,71,47,12,109,157,144,146,146,147,144,144,161,162,162,157,151,149,139,131,117,104,125,132,121,112,98,81,67,43,10,99,159,147,149,147,146,146,145,143,161,160,163,159,154,145,139,132,123,111,123,123,111,97,87,70,42,9,96,159,148,151,148,148,146,145,145,145,160,160,163,158,151,143,148,144,132,118,119,114,96,86,76,45,9,101,163,150,151,152,150,149,148,146,145,145,161,161,162,156,153,142,150,145,127,115,110,106,86,69,55,18,104,165,151,153,153,152,151,150,148,147,146,144,162,163,160,153,147,134,146,134,121,114,105,91,75,60,26,66,167,153,155,153,153,151,151,150,147,148,147,145
19,142,143,143,145,147,148,149,149,149,150,150,149,149,148,148,148,147,146,144,143,143,142,142,141,140,139,139,138,142,144,146,147,148,149,150,151,150,151,151,150,150,150,150,149,148,148,146,145,145,143,143,142,142,142,142,140,143,145,148,148,149,151,151,151,153,152,152,152,151,151,150,151,150,148,148,148,147,147,145,145,143,143,142,141,144,146,148,150,151,152,153,154,155,155,155,153,152,152,151,152,151,149,149,148,148,149,148,146,144,144,143,142,145,147,148,150,152,153,155,156,157,157,156,156,157,154,154,153,152,151,150,150,150,149,148,146,145,144,144,143,147,149,149,151,153,156,156,157,157,157,157,157,158,158,155,154,153,152,151,151,150,149,148,147,145,146,145,144,148,149,150,154,155,156,158,159,159,159,159,158,156,156,156,159,157,155,153,152,152,151,149,149,148,147,146,146,148,151,154,156,157,158,159,160,159,159,158,159,158,157,151,143,152,156,155,155,155,152,151,150,147,145,147,146,150,152,155,157,159,159,160,161,160,161,160,159,158,162,144,103,112,158,144,145,149,147,142,147,145,87,141,149,153,153,156,157,159,160,161,160,161,157,153,156,156,163,156,149,160,163,149,148,162,154,145,128,91,76,146,150,153,155,157,158,159,161,161,164,167,140,130,139,147,150,141,130,120,129,118,129,145,123,95,86,103,143,153,151,152,156,157,158,160,161,160,161,140,133,145,146,138,139,133,125,86,75,76,81,118,117,134,147,158,155,151,152,156,157,159,160,163,156,166,182,163,164,165,157,146,131,93,69,76,55,51,129,165,161,161,157,155,154,152,153,158,158,160,161,166,155,192,204,177,159,150,144,138,120,83,52,67,57,60,151,162,159,157,156,155,155,155,155,156,158,161,162,166,156,189,193,158,129,100,90,92,102,88,61,68,59,65,156,160,160,159,159,156,156,156,156,157,159,162,163,165,156,172,181,146,93,81,45,40,119,96,67,70,59,78,163,162,161,161,160,160,158,158,156,158,159,162,163,167,153,165,181,143,99,58,29,92,117,89,70,71,57,101,172,162,163,163,162,161,159,158,157,159,160,162,164,169,152,161,186,149,114,83,48,53,53,50,57,58,66,78,168,165,164,163,163,162,160,158,157,160,162,164,165,170,153,160,186,154,121,89,75,43,19,16,27,46,59,56,153,169,164,164,163,162,161,158,157,160,163,165,166,172,151,152,183,151,122,92,78,76,53,42,48,59,66,59,140,172,165,165,163,162,162,161,160,161,163,165,167,170,155,148,179,149,120,94,79,79,64,54,59,66,73,65,145,172,165,165,164,163,163,163,162,161,163,165,168,172,158,145,177,149,116,94,81,79,66,55,61,69,73,74,158,171,167,166,165,164,164,165,163,162,164,166,169,173,163,150,170,141,112,92,79,77,71,63,66,75,75,94,172,169,168,168,167,165,165,164,163,164,166,167,168,172,164,161,173,142,110,93,81,76,76,74,76,84,72,131,176,168,170,169,167,167,166,165,165,165,166,168,171,174,160,164,178,148,118,99,85,76,81,81,83,78,103,170,171,172,171,171,168,167,166,166,165,163,165,167,169,176,154,165,172,148,131,104,83,77,85,84,81,122,168,173,173,171,170,170,168,168,168,167,164,162,165,165,166,169,155,170,162,137,122,102,83,81,83,74,106,173,173,170,171,170,169,168,167,167,166,165,164,162,166,166,168,166,168,179,166,144,120,106,88,78,77,68,123,172,172,171,171,170,169,168,168,167,165,164,164
0,140,141,143,144,145,147,149,149,150,151,151,151,152,153,155,153,155,156,155,156,156,156,155,156,156,155,156,156,141,142,145,146,147,148,150,151,151,152,153,153,153,155,157,156,156,156,156,157,157,157,157,157,157,156,157,156,140,143,145,148,149,149,151,152,153,155,155,155,156,157,156,156,158,158,157,157,157,158,158,159,158,158,157,158,141,143,146,148,149,150,152,153,154,157,156,157,157,157,156,159,159,158,158,158,160,160,158,160,160,160,159,161,143,146,147,149,150,151,153,155,156,155,158,160,158,164,168,155,155,165,175,154,157,178,140,156,163,162,162,161,146,147,149,150,151,154,154,155,154,166,185,154,137,184,176,141,123,175,180,148,131,178,139,134,167,160,161,162,146,148,150,152,153,154,156,160,156,189,185,162,114,153,174,154,113,133,178,155,114,154,160,119,158,163,162,164,148,149,151,153,155,154,180,173,143,186,180,172,128,141,174,162,121,132,181,158,105,118,168,133,121,152,167,163,148,150,151,154,150,170,194,175,140,167,186,170,140,140,175,165,120,142,180,147,109,77,154,152,134,111,149,168,147,151,153,154,150,186,194,182,154,151,187,168,141,133,182,169,109,143,174,129,97,46,126,166,151,105,131,175,149,151,154,153,160,190,190,191,164,139,184,169,136,131,185,164,102,111,145,117,74,59,157,173,156,109,145,173,150,152,154,150,172,181,174,190,166,129,171,167,130,121,172,151,103,81,120,111,51,101,180,171,149,109,165,171,152,154,156,151,186,186,170,171,136,99,144,149,122,99,130,127,97,74,124,106,82,162,177,163,121,118,174,169,152,155,155,165,194,179,146,154,115,82,123,132,117,78,102,116,71,98,157,159,164,164,160,142,107,136,176,170,153,156,150,176,194,181,152,139,127,94,111,140,123,65,85,115,130,178,184,176,163,144,133,122,102,147,175,171,156,158,153,170,194,188,171,143,129,107,113,155,120,63,103,175,194,186,180,169,154,133,116,111,94,162,174,173,157,158,157,171,194,191,179,164,144,130,135,147,133,149,191,194,189,180,172,159,139,120,112,96,127,178,172,174,157,160,157,175,194,193,185,174,165,143,148,162,181,194,193,190,185,173,157,143,125,114,100,115,175,174,174,174,156,160,156,174,194,193,191,182,175,162,158,173,185,193,193,187,179,166,147,126,112,103,98,166,177,175,175,174,157,160,158,173,194,193,193,187,179,170,164,169,182,192,187,179,173,154,132,113,105,90,145,181,174,176,176,175,156,160,162,170,194,193,193,187,174,163,162,164,175,182,176,164,156,141,117,109,87,128,183,176,177,178,177,176,158,161,163,163,190,193,190,180,168,156,158,161,168,170,158,147,133,121,107,86,115,182,177,178,178,178,177,177,161,165,167,163,185,194,185,176,166,155,163,168,170,165,150,135,115,99,76,95,177,180,178,178,179,179,177,178,146,139,138,127,129,134,122,114,110,106,116,118,114,110,100,97,90,77,84,179,182,176,179,179,180,180,179,179,111,102,103,98,87,86,84,74,68,57,53,46,41,43,39,39,43,46,70,132,178,180,179,180,181,180,180,179,103,106,103,99,95,91,85,75,69,61,57,47,43,42,39,37,35,38,38,24,123,192,178,180,180,180,179,180,111,104,105,102,96,87,83,76,65,60,54,46,41,40,37,34,35,36,40,25,143,189,178,180,180,180,181,182,122,106,107,101,96,87,82,73,62,60,53,46,42,39,37,34,33,36,28,68,190,179,180,180,181,181,182,183
0,228,227,227,228,229,228,228,229,229,229,231,232,228,230,230,230,230,229,229,231,228,228,228,230,229,227,227,227,229,228,229,228,229,231,231,231,231,231,232,232,233,230,229,229,229,227,231,231,228,230,230,231,230,229,229,229,228,230,231,230,230,232,231,229,233,235,231,232,235,233,230,231,231,230,231,231,230,231,230,230,231,229,228,228,231,232,231,232,233,233,231,231,225,216,232,230,228,233,232,226,227,237,235,235,236,231,229,232,232,230,230,230,232,231,232,233,233,233,229,242,223,158,148,200,197,180,207,216,196,181,222,222,221,235,235,231,232,232,231,231,232,232,232,234,233,234,232,237,231,153,79,164,204,137,123,206,188,120,120,180,150,147,190,236,232,231,231,231,233,233,233,233,230,232,227,200,224,170,107,136,190,129,95,180,163,110,95,172,145,95,106,176,240,231,232,232,234,234,235,235,230,227,216,178,193,204,139,100,167,129,86,164,157,95,102,177,139,90,118,140,184,245,230,233,235,235,236,235,232,227,215,185,155,177,143,81,151,125,69,153,177,100,100,186,155,96,131,174,121,207,241,230,236,235,235,235,234,227,211,183,147,132,114,95,146,110,60,164,171,88,118,196,176,152,145,152,122,132,248,230,235,236,236,237,233,225,216,202,173,128,113,109,120,101,76,144,141,127,189,191,179,166,140,117,102,128,244,232,237,238,238,238,234,230,222,213,198,160,117,106,99,118,129,131,166,202,206,198,182,154,138,121,90,152,248,232,237,237,238,240,235,231,228,216,209,193,144,108,110,125,131,168,210,214,212,204,184,148,128,119,87,181,250,234,238,238,239,240,235,231,237,224,220,211,176,140,140,128,147,196,212,221,226,207,177,145,125,113,94,221,244,236,238,240,239,240,237,220,241,235,231,223,202,178,171,149,155,195,208,223,231,207,170,140,124,98,137,248,237,238,239,240,240,240,241,213,231,242,240,230,213,198,188,176,166,189,213,225,219,200,159,133,126,97,201,247,238,238,240,241,240,240,247,215,216,243,244,235,222,208,197,187,179,178,203,223,210,190,150,130,114,115,240,240,239,239,241,241,240,241,245,230,196,234,244,243,229,217,206,196,179,173,186,205,196,170,142,128,97,150,253,238,239,241,241,241,241,241,242,246,197,215,243,245,228,211,206,196,180,172,179,192,182,151,131,122,91,211,247,239,242,240,241,241,242,243,240,247,220,199,245,241,216,204,206,190,185,173,163,173,170,138,125,93,145,249,241,239,242,241,241,242,243,244,242,245,233,211,241,242,220,215,220,198,188,169,151,154,160,137,109,106,228,245,242,242,244,243,242,242,243,245,243,245,238,216,244,247,230,220,230,204,185,168,148,141,150,135,92,187,251,243,244,244,245,245,242,242,244,244,243,246,239,206,241,246,237,225,225,200,181,165,150,138,146,124,102,230,247,245,246,245,245,245,242,241,243,242,243,247,239,201,239,245,237,223,215,198,178,165,154,134,141,114,121,243,239,247,246,245,245,245,241,240,240,241,243,246,237,216,238,245,237,224,211,197,182,163,155,135,134,105,139,255,240,245,245,246,246,246,242,241,240,242,243,245,229,229,239,235,234,220,210,196,182,163,153,133,127,101,157,255,240,244,244,245,246,246,243,243,242,243,244,244,226,225,234,231,232,212,202,193,182,162,147,125,121,98,180,248,240,244,244,244,244,244,243,242,241,243,245,245,223,219,231,235,232,209,191,185,179,163,143,120,115,96,206,245,242,244,244,245,244,244
10,46,47,49,52,56,68,86,103,124,123,116,133,143,149,154,159,163,167,170,173,176,178,179,180,181,182,183,183,46,47,49,52,56,70,88,106,131,125,101,119,143,151,156,161,165,169,173,176,178,180,181,183,183,184,185,185,46,47,50,52,57,72,90,108,127,127,99,93,127,152,159,163,167,171,175,178,181,182,184,186,186,187,187,187,47,48,50,53,59,74,94,110,123,125,104,81,94,142,161,165,170,173,177,181,183,185,187,188,188,189,190,190,47,48,51,53,60,77,96,113,123,126,111,88,78,113,157,168,172,175,180,183,186,189,190,191,191,191,192,192,47,48,51,53,61,79,98,115,125,130,125,105,84,84,135,168,174,179,183,187,189,191,193,193,193,193,194,194,47,48,51,54,62,81,100,116,127,129,136,125,97,78,100,160,178,182,186,189,191,193,194,195,195,195,196,196,48,49,52,60,72,84,102,120,131,113,122,140,120,96,85,139,179,184,188,191,193,194,195,196,197,198,199,199,48,49,55,86,98,77,87,116,131,96,91,137,140,112,85,112,172,186,189,192,194,196,197,198,199,200,200,200,47,49,55,89,94,61,55,79,101,87,69,110,145,118,87,86,152,186,190,193,195,198,200,200,201,202,202,202,47,49,52,65,73,58,47,48,62,79,72,78,123,119,90,77,120,180,192,195,197,200,201,202,203,203,203,204,47,49,52,56,69,70,58,49,52,79,88,74,83,103,96,88,88,156,192,197,199,201,202,203,204,204,204,205,47,49,52,56,72,89,90,77,65,79,100,88,67,67,79,87,74,119,185,198,201,202,203,204,205,206,207,207,47,48,51,56,74,95,112,119,103,81,100,106,84,58,56,67,64,85,167,199,202,203,204,205,206,207,208,208,46,47,50,56,75,97,116,137,134,89,76,118,113,80,55,49,53,68,149,198,202,203,204,206,207,207,208,209,45,46,48,56,77,104,125,144,149,108,61,106,137,108,76,55,50,59,136,196,201,202,203,205,206,207,208,209,45,45,47,56,78,117,139,144,158,129,71,88,148,129,100,71,50,53,124,194,202,203,204,206,206,208,208,209,43,44,46,56,77,114,144,141,152,139,96,105,153,138,115,81,53,51,115,192,202,204,206,207,208,209,209,210,51,50,51,60,79,102,132,137,139,140,116,127,151,130,113,81,57,54,109,189,203,204,206,207,208,209,210,210,76,75,75,79,86,95,114,134,139,148,130,126,145,124,109,82,60,55,98,173,189,192,195,197,200,201,203,205,79,80,82,84,85,85,98,134,147,153,150,125,131,124,111,87,63,55,75,119,132,135,138,141,144,147,150,153,80,81,82,85,87,88,94,134,160,154,156,124,100,115,110,89,67,56,62,91,103,105,106,106,106,107,107,108,81,82,83,86,88,89,92,120,161,160,153,134,102,106,105,87,68,57,59,86,103,103,104,105,105,106,106,107,81,82,84,86,88,89,91,105,148,163,161,159,144,120,101,82,67,57,58,83,102,103,103,104,105,105,107,107,81,82,83,85,87,89,90,95,125,156,164,163,160,137,101,77,67,60,60,81,101,103,103,104,104,105,106,106,80,81,82,84,86,88,89,91,104,140,161,159,154,141,106,80,73,66,61,80,100,103,103,104,104,104,105,105,79,79,81,83,86,88,89,91,94,116,149,152,143,131,113,95,87,73,60,74,97,102,103,105,103,103,104,107,78,79,80,82,85,87,89,90,91,100,132,143,133,122,116,110,100,82,63,68,93,102,103,104,103,104,105,123
22,155,160,163,167,170,174,177,182,184,187,192,190,190,193,194,196,197,197,195,196,197,197,199,199,199,198,199,198,159,164,167,171,174,177,183,185,187,191,193,194,200,199,199,200,200,205,201,201,202,201,203,203,202,203,202,203,162,168,170,174,177,181,185,188,192,194,197,199,160,197,203,205,200,162,205,203,198,207,207,208,207,207,206,204,164,170,173,177,180,183,187,193,195,197,204,193,113,185,212,211,211,109,193,217,165,162,218,209,209,209,210,209,167,172,175,179,183,187,191,196,199,199,213,184,97,189,212,222,208,116,198,229,166,124,222,212,213,212,213,213,170,174,179,183,186,190,195,199,201,201,219,181,92,192,213,231,204,125,206,227,165,121,220,214,216,217,216,217,173,177,182,186,188,193,197,200,205,204,221,194,97,193,218,231,190,129,213,232,174,129,222,219,218,218,220,219,175,180,183,188,191,196,200,204,210,206,224,210,99,184,224,229,172,126,217,230,171,136,227,222,222,221,221,220,178,183,186,191,195,199,204,208,212,209,231,212,98,181,229,216,155,130,221,230,169,136,232,224,225,225,225,224,179,184,188,193,198,200,205,209,215,212,232,225,111,172,242,193,147,129,228,232,170,143,236,225,226,226,227,227,180,186,190,193,198,202,206,210,216,216,227,237,166,147,155,175,161,131,234,238,161,153,240,225,228,229,228,229,183,188,192,197,201,204,209,213,216,218,226,226,195,163,137,142,156,150,240,230,150,167,244,228,231,232,232,231,184,189,194,198,201,206,210,215,220,218,234,255,216,208,208,184,123,160,237,222,140,183,244,231,233,232,234,233,186,191,196,200,204,208,212,217,220,225,228,213,218,164,225,205,136,108,192,185,125,204,242,233,233,235,235,235,189,194,198,203,207,210,215,219,221,229,220,187,202,98,141,214,175,107,108,136,106,216,240,235,234,236,236,236,189,195,199,204,209,211,215,221,222,234,237,186,187,134,56,175,217,156,98,95,109,234,240,237,237,237,238,238,191,196,201,204,209,215,218,222,223,242,228,172,164,145,81,112,240,198,134,88,112,242,240,239,240,241,239,240,192,197,201,205,209,214,219,224,223,248,237,183,134,115,101,184,247,209,159,115,113,244,241,242,242,242,241,241,193,199,202,206,211,215,218,223,225,255,232,175,137,143,148,254,240,190,156,119,112,249,242,242,243,242,242,242,194,200,204,207,212,217,220,225,228,248,224,176,167,146,194,252,221,177,134,98,133,253,241,243,243,245,245,244,195,201,205,210,214,218,223,227,228,245,220,174,172,142,218,250,200,162,128,89,163,255,243,246,246,249,249,248,196,200,206,211,214,219,223,226,228,238,218,173,183,154,232,250,187,148,119,90,173,255,246,250,250,251,250,249,195,200,206,209,213,219,223,227,229,230,218,182,200,158,223,232,180,142,113,83,188,255,246,250,250,251,251,251,195,201,206,210,214,217,223,227,231,226,218,189,202,161,212,209,166,135,108,85,209,255,247,250,250,250,252,251,197,202,206,211,215,218,223,227,230,231,224,194,189,152,190,188,147,133,104,96,229,250,249,250,250,250,251,250,197,202,207,212,216,220,224,229,229,230,225,187,159,138,181,162,142,136,99,139,252,247,249,250,251,251,250,250,196,202,207,212,215,220,224,228,226,232,228,193,165,160,189,146,155,122,90,213,255,249,250,250,251,251,251,249,197,201,206,211,216,219,224,228,222,236,237,206,189,170,185,140,158,92,143,255,247,250,251,251,251,251,251,251
10,114,114,114,116,116,117,118,118,118,118,119,118,117,117,116,115,114,113,112,111,108,118,109,75,105,103,102,100,117,118,119,120,120,120,121,122,121,122,121,121,121,120,119,119,118,116,115,115,109,128,119,56,100,106,103,102,122,122,123,124,124,125,126,126,126,126,125,124,125,125,124,123,122,120,119,119,114,131,121,57,95,112,106,105,126,127,127,128,129,129,129,130,130,129,129,129,129,128,128,126,125,124,122,122,117,134,111,52,94,117,109,108,130,131,131,132,133,132,133,132,134,133,133,134,133,132,131,130,129,128,126,126,122,137,115,55,94,121,112,112,133,134,135,136,136,136,137,136,138,138,136,138,138,137,136,134,132,131,130,129,125,144,121,60,99,124,116,114,136,137,138,138,138,139,140,140,140,140,139,140,141,140,139,138,136,135,133,131,131,150,113,98,101,125,119,117,139,140,140,141,141,142,143,144,143,143,143,143,144,143,141,141,140,139,137,136,138,145,128,119,58,127,122,120,140,143,144,144,145,145,146,145,144,145,145,145,146,145,145,144,143,142,139,136,114,106,135,118,41,112,131,123,144,144,145,147,147,147,147,148,148,148,147,148,148,148,148,146,145,146,145,148,138,108,91,104,61,52,135,126,146,147,148,149,150,150,150,151,151,150,151,151,151,151,151,150,148,138,122,136,151,126,97,67,71,38,87,138,150,150,151,152,152,152,153,152,152,153,153,153,153,153,150,147,153,130,96,68,88,138,137,104,51,47,53,139,152,152,153,153,154,154,155,154,155,154,155,155,154,155,135,98,115,150,124,79,5,84,133,75,39,32,62,141,154,154,155,156,155,155,157,157,156,156,157,157,155,153,144,119,83,138,147,103,34,10,37,79,63,31,70,146,155,155,156,157,157,157,157,157,157,157,158,158,157,145,145,146,109,99,153,112,66,20,21,111,105,38,76,149,157,156,157,159,159,159,158,159,160,159,160,159,156,131,105,137,122,63,116,124,70,27,46,107,121,50,71,149,157,158,159,160,161,160,161,162,162,162,162,159,156,142,87,84,108,39,66,128,70,34,56,103,112,46,67,150,158,159,161,162,162,162,162,163,163,162,163,162,149,132,106,72,89,62,48,120,114,62,59,106,76,33,85,153,159,162,162,162,163,163,163,164,164,163,164,161,154,159,137,87,79,86,54,100,134,83,50,87,57,27,122,151,161,162,162,163,164,164,164,164,165,165,165,164,153,163,145,112,87,80,76,125,123,64,45,73,49,43,149,147,162,163,164,164,164,165,166,165,166,167,168,169,154,158,154,126,98,90,105,159,149,110,77,71,40,71,158,146,163,164,165,165,166,167,167,167,168,168,170,170,158,146,148,133,111,101,109,153,150,127,93,69,31,102,159,147,161,162,164,165,165,164,165,166,168,169,168,170,162,142,147,139,130,114,109,148,142,113,79,57,35,137,155,150,162,162,163,164,165,165,165,166,168,169,169,169,169,144,135,143,139,118,99,133,122,97,69,36,60,159,148,149,163,163,164,166,166,168,168,168,169,169,170,169,171,159,128,135,130,115,93,108,108,82,57,22,109,161,148,148,164,164,165,166,166,168,168,168,168,169,169,169,169,169,144,133,123,109,93,93,107,82,42,50,156,154,151,149,162,165,167,169,170,172,173,172,173,175,175,175,175,170,152,135,121,115,106,92,103,77,29,103,165,151,153,155,94,96,101,105,108,113,118,122,125,129,132,136,142,141,146,140,124,129,112,97,97,67,30,125,158,150,145,109
1,133,138,143,147,151,154,156,158,161,162,163,166,167,168,166,167,166,168,166,165,165,165,165,162,160,160,158,158,134,140,145,149,153,155,159,161,163,164,166,168,169,168,171,170,171,147,153,168,165,165,165,163,162,161,161,160,135,141,147,152,154,156,161,162,165,169,169,169,170,173,145,159,187,119,99,183,165,166,166,164,163,162,161,161,138,142,149,153,156,159,161,165,167,170,171,170,171,189,105,125,192,115,87,157,164,169,168,167,166,165,162,162,141,145,150,155,158,162,164,168,169,170,173,172,183,188,94,136,184,100,92,112,112,179,167,168,168,168,165,164,142,146,152,156,160,164,167,168,170,172,175,168,145,167,86,150,181,90,121,138,82,176,169,169,169,168,167,166,143,148,154,157,160,164,168,169,172,172,183,167,81,137,98,162,192,104,134,141,74,171,173,171,171,169,168,167,144,150,155,159,162,166,168,170,175,174,190,149,67,134,107,157,176,100,143,143,70,168,178,174,173,171,171,170,145,151,157,161,164,167,169,172,176,175,192,132,57,114,88,134,161,89,159,156,79,169,179,175,175,173,171,170,146,152,157,162,165,169,172,175,176,180,194,122,62,132,88,151,163,89,165,148,79,168,179,176,176,174,174,173,147,154,159,163,167,170,174,177,177,187,189,111,69,155,82,158,160,84,175,145,80,171,180,179,178,176,175,173,149,155,161,164,168,171,175,178,177,193,194,114,52,112,51,139,119,83,186,147,87,176,182,179,177,177,176,175,150,156,161,165,169,173,176,180,177,200,187,116,94,109,97,140,143,115,146,143,85,179,182,182,180,178,178,177,149,157,163,166,170,174,176,180,182,206,181,138,113,167,177,182,185,155,90,113,90,183,182,183,182,180,178,178,150,158,163,166,171,175,178,178,193,205,156,120,86,99,155,147,180,191,130,61,80,189,183,183,183,182,180,180,152,159,164,168,172,176,178,177,204,199,150,105,86,72,96,92,181,209,174,80,75,194,183,183,183,182,181,181,152,159,165,168,173,176,179,178,211,194,139,102,99,96,114,156,169,192,176,108,90,195,184,185,184,184,182,181,153,160,165,168,174,177,179,183,214,185,143,104,109,105,145,200,184,164,131,104,68,174,191,185,185,185,184,183,151,159,164,168,173,177,179,186,215,187,151,120,117,123,180,205,176,151,111,76,62,176,192,187,186,185,184,183,152,159,164,168,171,176,177,185,215,188,147,123,119,132,198,212,171,137,102,62,61,187,188,186,186,185,184,183,153,159,165,168,173,177,179,184,212,190,152,142,121,130,200,209,162,125,94,51,81,196,187,187,186,185,184,183,153,160,166,170,173,177,180,182,207,194,165,163,128,121,205,191,152,110,80,45,153,196,188,188,188,187,184,184,154,160,165,170,173,177,182,182,203,199,172,168,127,129,199,173,144,101,59,73,196,189,189,189,188,186,185,184,153,158,164,168,173,176,181,181,206,202,173,158,115,136,182,147,130,89,41,123,200,187,188,187,185,184,183,183,154,161,167,174,180,182,187,183,208,195,168,141,110,140,156,131,113,74,54,180,201,195,195,194,192,192,190,189,122,125,126,128,131,136,130,155,215,187,168,141,122,145,140,128,102,61,67,140,138,139,140,141,141,142,141,138,89,85,85,86,85,88,77,173,213,188,176,142,141,138,120,112,79,51,69,75,74,74,74,75,71,70,68,67,98,96,97,99,99,96,107,208,190,167,165,153,138,115,104,91,54,61,90,88,87,86,86,86,85,83,84,85
13,104,107,113,121,128,132,136,139,142,146,150,153,155,159,160,162,164,165,164,165,166,167,166,166,167,166,165,165,105,109,116,124,131,135,139,142,144,147,152,155,158,162,163,161,162,165,172,168,168,168,168,169,170,168,168,168,107,111,119,127,132,137,141,144,147,150,155,158,160,161,168,181,182,136,119,170,168,176,170,172,173,170,170,169,110,114,121,129,134,140,143,148,151,153,158,160,164,167,172,210,195,128,60,68,107,126,174,173,173,171,172,171,110,116,122,129,136,141,144,149,153,158,158,163,168,124,122,144,190,126,57,33,111,64,92,186,172,174,173,173,113,117,124,130,138,141,144,151,154,157,157,203,189,139,92,90,171,169,83,47,123,61,60,186,174,175,175,173,115,119,126,133,140,144,148,151,158,161,104,154,214,183,131,42,99,197,95,44,133,65,81,190,176,178,176,176,115,120,127,135,142,147,150,148,193,180,113,50,165,210,153,69,13,127,92,42,169,77,112,192,177,180,179,178,116,122,130,138,143,149,147,184,197,196,159,70,64,212,145,78,0,13,30,34,155,72,160,187,179,181,180,180,117,123,133,140,144,147,168,186,138,193,175,98,16,167,133,64,0,0,36,82,104,51,115,195,180,183,183,182,118,126,137,142,146,150,201,185,125,159,147,83,10,125,134,76,0,24,109,122,94,77,58,175,188,184,185,183,122,129,140,147,147,166,197,160,112,141,117,61,0,94,164,94,12,132,161,128,76,58,56,111,198,183,184,184,124,132,143,150,148,187,191,155,103,109,104,60,0,47,166,67,85,187,153,120,79,58,45,86,202,185,187,187,125,135,146,153,149,195,207,173,131,76,91,48,0,39,159,129,175,170,139,104,73,52,22,134,199,186,191,190,128,139,151,158,154,203,210,177,142,83,59,57,94,158,194,199,187,155,122,89,68,34,44,190,191,190,192,192,134,145,154,162,160,212,221,187,140,118,119,123,147,180,193,187,176,141,108,83,57,15,102,208,188,193,193,192,137,148,157,164,166,214,216,202,152,145,140,118,167,171,193,182,159,129,102,73,47,9,150,204,192,194,194,193,141,152,161,168,172,204,212,211,172,160,145,129,180,181,179,168,138,111,84,64,24,44,203,197,197,197,195,195,145,155,166,172,174,190,213,209,186,165,145,138,168,188,165,143,117,95,78,50,16,162,209,198,199,199,199,199,148,158,169,175,177,181,207,199,193,172,155,145,154,177,159,128,104,81,71,24,135,218,199,201,202,202,200,198,151,161,170,176,183,178,197,202,194,187,177,154,146,168,151,113,83,75,40,93,219,203,205,206,205,201,208,212,153,165,175,180,187,177,188,207,194,190,180,149,139,150,135,96,66,60,49,197,211,207,209,208,205,214,184,116,156,169,178,184,188,183,188,195,159,164,165,145,132,139,117,91,67,33,136,223,208,211,208,211,217,126,19,0,159,170,179,184,189,186,190,198,156,173,177,165,134,129,109,95,60,41,192,213,213,212,222,222,107,9,0,0,160,170,178,183,189,185,184,214,172,186,187,168,133,118,108,97,55,55,209,213,215,221,173,74,3,10,12,0,160,172,180,186,189,192,186,215,194,208,197,171,140,118,107,98,49,66,219,208,227,146,19,0,0,6,19,0,163,175,183,187,191,197,164,212,205,206,191,162,141,122,108,95,46,55,214,222,194,42,12,13,0,0,11,2,165,177,184,189,193,198,75,196,203,197,180,157,145,124,113,83,48,15,209,226,83,20,9,7,0,0,0,7
15,45,79,87,101,110,118,127,136,146,151,155,159,163,166,169,171,174,176,178,180,182,184,185,186,188,190,191,194,47,81,87,102,111,120,127,137,147,150,156,161,164,167,170,172,176,177,179,182,184,185,186,187,189,192,193,195,50,83,92,104,112,121,127,138,149,151,156,161,165,167,171,174,176,178,180,183,184,185,186,190,191,193,195,195,56,85,92,106,115,118,127,140,150,151,156,161,164,168,172,175,177,177,181,184,184,186,189,190,191,193,194,196,63,87,94,105,112,139,136,137,149,155,158,162,164,169,173,175,177,178,181,183,185,188,190,191,193,194,194,197,67,87,97,104,120,185,151,133,127,141,158,165,165,169,173,176,177,179,182,184,185,188,189,192,194,194,196,198,73,88,97,108,118,158,158,146,135,123,129,149,165,174,174,176,178,181,183,184,187,190,191,193,193,193,195,197,77,87,98,110,116,125,141,140,139,133,135,133,134,146,171,180,178,180,183,185,187,190,192,194,193,194,196,199,79,88,99,108,117,125,132,140,129,134,142,147,142,130,125,152,177,184,184,184,186,190,192,194,195,196,198,200,82,90,101,110,118,127,134,146,145,144,143,144,144,140,129,125,130,159,184,189,188,190,192,194,195,196,199,201,85,92,103,111,119,126,133,145,151,155,158,145,130,134,145,145,133,123,132,162,187,194,191,193,194,197,199,202,84,92,104,112,120,127,136,148,151,155,161,163,152,142,126,126,134,128,126,132,132,163,195,194,196,198,200,202,85,93,104,113,120,127,139,149,150,157,173,139,126,146,142,111,103,118,140,144,146,121,146,199,195,199,201,202,85,94,105,114,121,127,137,149,149,166,172,143,115,112,139,139,130,140,142,151,158,139,105,156,207,198,201,203,87,94,107,114,122,128,140,150,149,161,149,134,135,138,147,127,137,143,132,145,153,143,133,111,190,202,201,203,88,96,106,115,122,128,139,148,151,156,161,138,149,171,160,133,107,109,95,137,161,143,156,121,133,208,200,202,88,98,107,114,122,129,139,148,152,151,185,155,139,168,156,137,133,122,104,118,127,137,146,135,99,179,207,201,89,98,107,114,122,128,139,149,148,165,179,136,106,112,143,153,151,148,134,118,115,114,123,131,111,125,209,201,89,99,107,114,122,128,141,150,147,177,154,112,102,60,68,119,162,164,156,147,141,116,102,114,117,94,180,209,89,100,109,115,123,130,143,146,154,183,133,94,90,72,58,48,98,167,170,164,155,125,102,109,113,95,129,213,90,100,109,116,124,131,144,142,165,170,107,93,126,112,93,67,37,125,174,165,154,131,118,112,111,107,96,184,91,100,108,115,125,133,143,152,171,131,87,145,157,130,127,112,55,79,177,164,156,146,138,125,115,112,99,125,92,102,109,117,125,132,142,158,134,100,119,178,167,137,138,133,113,90,165,172,166,159,152,138,123,113,110,101,94,103,110,117,123,132,145,148,135,136,161,161,159,149,129,130,129,120,144,171,170,166,157,144,132,122,115,111,94,103,109,117,124,133,144,147,155,162,163,167,160,141,116,112,107,133,138,152,166,163,155,146,136,126,121,115,94,102,109,117,123,135,144,147,152,158,162,166,173,174,165,153,136,134,148,125,145,153,150,146,138,130,119,117,94,102,109,115,121,134,144,147,152,159,162,166,170,174,180,182,181,182,168,147,139,154,149,145,142,134,122,119,94,102,107,113,121,132,142,145,151,158,161,166,171,174,176,178,182,194,195,183,170,168,152,139,138,140,134,127
12,170,171,170,170,170,171,171,171,170,168,167,167,166,165,165,164,163,163,162,160,159,158,156,156,156,155,154,152,173,173,172,172,172,172,173,172,172,170,169,169,168,167,167,166,165,164,164,163,162,161,159,158,157,157,156,154,175,175,174,174,175,175,175,175,175,173,172,172,170,170,169,168,168,167,167,166,165,163,162,161,159,158,157,157,178,177,177,177,177,178,177,178,178,176,175,175,173,170,167,168,170,169,168,167,166,165,165,163,162,160,159,159,180,179,179,179,180,180,179,179,179,179,178,177,174,163,145,146,165,169,160,149,151,164,167,165,165,163,162,161,183,182,181,181,182,182,182,181,181,180,180,180,178,165,140,118,141,160,150,127,113,143,168,167,167,166,165,164,185,184,183,183,185,185,184,183,183,182,182,182,185,178,153,123,110,135,154,131,100,110,151,155,159,166,167,166,186,186,185,185,186,186,186,185,185,185,184,186,188,186,166,135,101,107,152,139,106,86,105,120,121,147,167,168,187,187,187,187,187,187,188,188,187,185,185,184,179,181,170,139,105,91,141,143,113,75,74,100,93,110,162,171,189,189,189,188,188,188,189,189,186,176,168,171,171,172,165,134,98,79,132,141,112,71,64,91,80,82,152,173,190,190,190,189,189,190,190,188,183,163,141,143,154,156,157,126,90,81,136,136,106,67,62,88,76,76,150,174,192,191,191,191,192,193,190,186,184,169,148,134,126,126,153,134,98,91,142,131,99,66,72,95,79,89,161,176,193,193,193,193,194,194,191,186,183,178,166,147,114,105,151,151,111,100,146,133,97,75,95,104,81,113,172,178,195,195,195,195,195,194,192,180,164,171,173,157,125,105,143,149,110,106,158,145,103,96,118,105,83,137,177,179,197,197,197,196,196,195,195,179,147,142,162,158,128,95,107,118,92,109,162,143,104,119,138,110,95,156,180,180,198,198,199,199,198,197,197,187,151,112,123,143,114,78,65,69,59,84,134,121,101,141,151,113,118,172,182,182,199,199,200,201,199,197,192,177,146,106,93,122,103,76,61,60,57,82,110,99,105,158,147,102,117,177,184,184,200,200,201,202,199,196,195,183,159,124,92,105,106,91,77,75,89,125,146,135,135,142,114,76,93,172,186,185,202,201,202,202,200,195,199,193,169,131,100,99,112,107,91,100,139,164,168,155,150,131,86,61,93,173,187,186,203,203,202,203,201,195,200,198,176,142,118,105,112,118,120,149,182,187,178,155,145,128,88,66,117,182,187,187,203,203,203,204,202,195,199,199,180,153,129,115,117,138,168,189,200,194,177,149,134,117,83,75,148,188,188,187,205,205,205,205,203,196,195,195,181,158,133,122,124,154,192,200,199,187,166,141,122,103,76,90,171,191,190,188,206,207,207,207,205,196,190,190,180,159,135,128,130,165,197,199,192,176,154,133,113,91,72,119,185,193,191,190,208,208,208,207,207,197,189,189,180,160,138,131,136,174,196,196,185,164,144,126,104,80,84,159,193,194,193,192,209,209,208,208,208,200,189,187,183,166,145,132,137,176,191,190,176,154,134,115,93,71,113,184,196,195,194,193,209,209,209,209,209,203,190,187,184,172,149,131,134,170,183,178,162,141,121,101,79,77,151,195,198,196,195,194,210,210,209,210,210,206,191,187,182,168,146,130,131,158,171,164,147,125,105,84,67,105,182,199,199,198,196,196,210,210,210,210,211,206,192,186,179,164,143,130,130,150,161,154,136,114,92,72,70,145,196,200,200,198,197,196
22,133,137,140,143,146,149,152,156,158,161,165,164,164,166,167,169,170,170,168,169,169,170,171,171,171,170,171,170,136,140,143,146,149,152,157,159,161,164,166,167,172,171,171,172,172,176,173,173,174,173,175,175,174,175,174,174,138,144,146,149,152,155,159,162,165,167,170,171,137,170,175,176,172,139,177,175,171,179,179,180,178,178,178,176,140,145,149,152,155,158,160,166,168,169,175,166,95,159,183,182,182,92,166,188,142,139,188,180,180,180,181,180,143,147,150,154,158,161,164,168,172,171,184,159,82,163,183,192,180,98,170,197,143,105,192,183,184,183,183,183,146,149,153,157,160,164,167,171,173,173,189,156,77,166,183,200,176,106,178,196,141,103,190,185,186,187,187,187,148,152,156,159,162,166,170,172,177,175,191,167,82,166,188,200,163,110,184,200,149,109,192,189,189,188,189,189,150,154,158,162,165,169,172,176,181,177,193,181,83,158,193,198,147,107,187,199,146,116,196,191,192,191,191,190,153,157,160,164,168,172,175,179,183,180,199,183,82,156,198,186,132,111,191,199,145,116,201,193,194,194,194,194,154,159,162,166,170,172,176,181,185,183,200,194,93,147,209,166,126,110,197,200,146,122,204,194,195,195,196,196,155,160,164,166,170,174,178,181,186,186,196,205,143,125,132,150,138,112,202,206,138,131,207,194,197,198,197,198,157,162,165,169,173,176,180,183,187,188,195,195,168,140,117,121,133,128,208,199,128,143,211,197,199,200,201,200,159,163,167,171,173,178,181,186,189,188,202,222,186,179,179,159,104,137,205,192,119,158,211,200,201,201,202,202,160,165,169,172,175,179,182,187,190,194,197,184,188,140,194,176,116,91,165,159,106,175,209,201,202,203,203,203,162,167,171,174,179,181,185,189,191,197,190,161,174,82,120,185,150,91,91,116,89,187,208,203,202,204,204,204,163,168,172,176,180,182,185,191,192,202,204,160,161,114,45,150,188,133,83,79,92,202,207,205,205,205,206,206,164,169,173,176,180,185,188,191,192,209,197,148,140,124,68,95,207,170,114,74,94,209,208,207,207,208,207,207,165,170,173,177,180,185,189,193,192,214,205,157,114,97,85,158,214,180,136,97,95,211,208,209,209,209,208,208,166,171,174,177,182,185,188,193,194,220,200,150,116,122,126,220,208,163,134,100,94,215,209,209,210,209,209,209,167,172,176,179,182,187,190,194,197,214,193,151,143,125,167,218,191,152,114,82,114,219,208,210,210,212,212,211,168,173,177,181,185,188,192,196,197,212,190,149,147,121,188,217,173,138,109,74,140,224,210,213,213,215,215,215,168,173,178,182,184,189,193,195,197,206,188,148,157,131,200,216,161,127,101,75,148,225,213,216,217,217,216,216,168,173,178,180,183,189,192,196,198,199,188,156,173,136,192,200,155,121,96,69,162,226,213,216,217,217,217,217,168,173,177,181,184,187,193,196,200,195,188,162,174,138,182,180,142,115,91,71,180,222,214,216,216,216,218,217,170,174,178,182,186,188,193,196,199,199,194,167,162,130,163,161,125,113,88,81,198,216,215,216,216,216,217,216,170,174,178,183,187,189,193,198,198,198,194,161,136,117,156,139,121,116,83,118,218,214,215,216,217,217,217,216,169,174,178,182,186,190,193,197,195,200,197,166,141,137,162,125,133,104,75,184,221,216,217,216,217,217,217,216,169,173,178,182,186,189,193,197,191,204,205,178,163,145,159,120,135,77,122,221,214,216,217,217,217,217,217,217
7,204,207,209,211,213,213,215,215,215,216,215,215,216,215,215,214,214,212,213,212,209,209,210,207,205,206,205,203,207,208,210,213,215,216,217,217,216,217,216,217,215,215,215,215,215,213,214,212,212,211,210,208,207,207,206,204,207,209,212,215,215,217,219,218,219,220,218,218,217,217,216,217,217,215,215,212,213,212,211,209,210,209,207,206,209,210,213,215,217,218,219,220,220,220,220,220,220,219,219,218,216,216,216,215,215,214,213,211,211,209,209,208,210,213,215,216,219,218,219,220,220,220,220,220,220,219,220,220,219,219,217,215,215,215,215,212,211,210,210,209,210,215,216,217,218,219,220,221,221,221,221,221,221,220,219,219,221,220,219,219,219,216,213,214,213,213,212,208,213,215,217,220,220,220,221,223,222,222,222,222,223,224,224,223,221,217,213,209,191,200,215,201,216,214,212,211,215,215,217,220,221,222,223,227,227,228,225,219,216,208,202,199,200,191,184,185,165,202,222,175,210,213,216,213,215,216,219,219,221,225,222,214,205,207,206,197,185,170,163,178,195,191,177,169,159,165,179,160,208,213,199,215,216,219,219,221,224,217,206,186,179,177,175,182,177,173,158,154,160,146,151,157,154,153,165,176,224,223,156,212,218,220,220,221,220,210,195,184,184,176,165,167,175,171,150,145,140,166,185,201,181,179,176,177,179,173,164,218,217,219,217,211,201,197,197,194,181,147,142,163,184,180,167,163,153,169,184,187,170,157,142,137,145,176,213,219,216,212,206,201,199,198,191,193,179,133,136,149,156,154,151,156,144,140,151,137,133,137,165,195,215,224,219,219,210,206,204,203,203,191,183,183,181,161,127,112,103,102,104,116,117,126,146,170,197,217,229,227,223,219,220,219,208,205,202,198,191,186,185,184,188,179,140,108,86,113,164,169,188,205,228,235,231,227,223,222,221,221,221,220,206,200,194,188,184,181,179,178,176,160,138,114,102,115,216,245,235,234,229,226,226,226,225,224,224,222,221,220,202,193,187,180,175,171,167,163,161,152,127,104,107,105,101,213,236,229,230,227,228,226,227,226,225,223,223,222,191,193,180,177,167,166,163,158,158,154,129,100,102,123,97,134,244,230,231,230,230,228,227,226,225,225,224,223,105,164,183,176,170,165,163,164,166,164,132,99,95,115,110,132,241,233,233,232,231,230,229,227,225,225,225,223,75,82,155,184,175,169,161,154,153,143,123,106,101,92,85,161,246,232,234,232,231,231,230,228,227,226,226,225,78,70,80,161,180,171,162,151,139,128,116,113,110,95,89,111,232,237,234,233,232,231,230,229,228,227,226,225,73,74,64,92,164,157,148,140,133,121,114,113,112,102,89,116,234,237,235,234,233,232,231,230,229,228,226,225,71,67,69,65,107,137,126,114,112,89,91,109,103,115,176,210,241,234,234,234,233,232,232,231,230,229,227,226,65,64,66,68,57,68,110,155,86,79,88,98,112,211,253,241,238,238,236,234,235,233,232,232,231,229,227,227,57,60,64,72,46,66,211,216,78,86,97,141,219,246,237,239,238,238,238,234,236,234,232,232,232,230,229,227,59,56,72,61,80,219,249,238,184,177,211,244,245,239,240,239,238,238,238,235,233,235,233,233,232,231,231,227,85,70,60,88,228,242,236,239,247,248,245,238,238,239,239,239,239,238,237,234,234,233,233,232,231,231,228,226,70,67,48,157,251,232,239,239,238,238,238,239,239,239,239,239,239,238,238,235,234,234,233,233,231,231,229,227
1,173,174,174,174,175,174,174,175,174,172,173,173,172,170,169,166,166,168,165,165,165,163,161,159,165,113,56,50,173,174,176,175,176,176,175,175,175,174,173,173,173,170,170,174,166,147,165,167,165,165,164,160,166,90,52,53,175,176,177,177,178,178,177,177,176,177,175,174,173,174,161,153,171,114,143,173,168,165,165,162,167,77,57,55,177,178,178,179,180,179,178,178,178,178,176,175,174,177,158,98,139,119,110,144,147,170,165,163,166,99,56,46,178,179,180,180,180,180,179,179,180,178,176,173,170,184,156,94,113,115,108,142,102,166,167,163,171,99,51,49,179,180,180,181,182,182,180,179,180,178,179,171,126,140,148,87,128,128,108,149,92,153,171,163,172,106,45,50,180,181,183,183,183,183,182,181,181,179,184,164,106,104,153,88,129,140,93,135,89,146,173,165,171,138,91,102,181,183,183,184,183,183,184,183,183,181,185,158,99,109,146,89,107,123,95,152,96,138,176,167,170,146,151,155,182,184,185,185,185,185,185,184,183,182,191,162,108,101,126,84,107,108,97,157,103,123,178,168,170,147,143,120,183,185,186,186,186,186,186,185,185,183,195,151,105,105,126,86,126,117,94,143,98,121,180,169,170,157,143,104,185,185,187,188,187,187,187,187,186,185,192,149,103,118,141,91,115,118,91,139,97,125,181,171,171,166,151,138,185,186,189,189,188,188,189,188,186,188,196,155,124,99,119,77,95,94,107,151,106,125,181,171,171,170,156,149,186,188,188,188,189,189,189,188,186,192,187,148,109,81,82,71,92,69,107,144,104,119,182,171,172,171,167,145,187,189,190,190,190,190,190,189,188,193,182,148,130,126,112,108,91,93,115,122,86,130,185,173,173,171,172,161,189,190,190,191,191,191,190,191,187,201,191,162,155,132,171,131,129,124,144,119,74,159,181,176,174,173,172,172,189,190,191,192,193,192,192,192,189,210,183,157,135,106,149,151,152,141,135,117,93,173,179,176,175,173,173,171,190,191,192,194,194,194,194,193,194,209,174,136,116,97,82,127,148,130,140,135,96,145,186,176,175,173,173,171,191,192,193,195,195,195,195,193,198,213,180,149,127,95,83,78,104,116,162,155,108,111,187,176,177,175,173,171,192,194,193,195,196,195,196,194,200,209,179,161,123,104,99,79,146,136,142,173,129,86,167,182,177,177,175,173,194,195,195,196,196,197,197,195,202,203,179,163,112,110,89,121,181,165,142,152,138,81,128,188,175,177,175,173,194,196,197,197,197,197,198,196,201,201,184,164,109,113,97,164,183,167,149,126,119,91,108,188,177,178,175,174,195,197,197,198,199,198,199,197,200,200,186,151,117,103,119,186,181,164,137,126,101,77,136,188,177,179,177,174,196,197,198,199,199,199,200,198,201,197,181,147,132,93,137,188,172,154,129,117,99,75,174,184,179,178,176,176,196,197,198,200,199,199,198,197,197,192,176,153,139,95,151,184,161,144,127,111,79,105,192,181,181,179,177,178,195,196,197,197,196,197,196,196,193,188,172,160,143,104,153,173,149,138,123,99,67,160,188,180,179,177,177,176,195,196,198,199,198,201,203,196,192,190,171,164,141,102,145,158,137,127,112,70,107,192,182,181,181,184,186,138,197,198,198,198,202,191,177,201,186,179,173,165,119,98,126,137,121,109,79,82,182,185,186,187,178,163,124,74,196,198,198,197,209,147,75,120,153,156,152,130,93,98,110,119,102,84,62,160,194,186,173,127,88,65,57,64
7,252,252,251,252,252,252,252,252,251,251,250,249,248,247,246,245,244,243,242,240,236,235,235,232,230,228,226,223,254,254,254,253,254,255,255,254,253,253,253,252,251,250,249,247,246,244,244,242,240,238,237,234,233,230,229,225,255,254,255,255,255,255,255,255,255,255,255,254,254,253,252,249,248,247,245,244,242,240,237,237,236,233,231,229,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,251,251,249,247,246,246,246,243,243,240,236,234,231,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,255,255,253,246,240,230,224,222,229,240,236,234,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,240,221,209,198,204,189,165,195,226,192,230,241,235,255,255,255,255,255,255,255,255,255,255,251,240,222,206,190,188,168,157,174,166,161,157,177,192,169,237,243,236,255,255,255,255,255,255,255,234,209,194,184,188,185,180,178,172,158,142,147,134,137,131,111,136,182,204,232,242,255,255,255,255,255,252,220,198,167,169,181,174,175,169,166,147,144,152,140,137,144,135,133,127,115,130,162,238,255,255,255,255,240,220,220,199,158,147,142,138,143,151,162,172,179,180,145,122,147,134,121,114,98,126,129,227,255,255,255,226,215,220,214,198,180,164,160,167,181,189,184,185,172,162,130,103,109,97,95,103,107,125,180,244,255,255,221,211,216,215,206,206,201,187,185,177,180,174,159,151,136,120,103,113,150,181,206,223,238,245,250,244,255,221,213,215,218,209,215,212,191,150,126,135,138,123,114,147,162,184,212,244,255,255,255,255,255,250,246,245,226,220,221,221,217,216,212,190,165,109,101,109,95,89,79,155,255,255,255,255,255,255,253,253,253,251,247,246,221,226,223,219,219,208,182,175,148,112,98,83,79,80,82,56,174,255,255,255,255,255,255,254,253,250,247,246,223,224,220,223,213,190,178,170,163,166,141,90,81,85,73,86,218,255,255,255,255,255,253,252,250,247,250,249,217,221,228,223,200,177,168,162,173,185,141,87,82,76,88,217,255,255,255,255,255,255,253,253,255,255,236,156,218,225,224,204,169,153,153,150,156,146,101,78,75,54,153,255,255,255,255,255,255,255,255,252,221,169,114,87,219,218,199,171,160,159,158,144,136,121,102,84,83,60,148,255,255,255,255,255,255,235,181,137,100,83,79,87,211,192,171,170,168,164,154,125,109,119,124,95,72,114,255,255,255,248,236,234,195,121,91,79,84,83,84,85,184,170,171,165,150,131,112,105,116,136,121,79,99,222,236,212,165,108,102,96,87,83,98,84,69,76,82,86,173,173,160,134,121,117,115,118,118,108,86,108,134,126,113,110,73,69,84,68,84,74,75,81,56,67,77,84,174,166,144,134,134,130,119,106,96,93,132,147,119,104,99,95,88,55,79,66,69,67,67,68,51,59,71,81,158,134,121,120,117,111,101,98,117,145,149,118,99,92,85,77,76,58,59,68,59,63,63,59,46,54,71,77,110,87,98,105,111,115,124,142,155,144,97,91,88,82,71,76,70,64,45,63,54,57,62,51,47,57,68,76,74,116,150,152,159,155,152,151,144,112,85,70,79,80,66,69,64,64,40,51,57,54,62,48,48,59,65,72,91,155,156,152,159,150,148,143,120,77,73,66,64,75,58,62,53,59,44,43,55,53,61,44,52,59,66,70,108,156,155,151,152,151,143,125,90,56,75,69,53,71,52,58,46,56,53,36,52,55,57,46,57,57,67,67
17,166,171,173,179,185,190,192,197,200,202,204,207,208,209,209,208,208,209,206,200,208,205,206,205,205,203,201,200,168,172,175,181,187,191,196,199,201,204,206,208,209,210,211,212,208,216,217,150,192,211,206,207,206,204,202,202,170,174,175,181,188,194,198,200,204,206,208,210,211,212,214,211,223,214,159,120,177,218,208,208,207,206,205,204,171,175,178,183,190,197,199,201,205,207,210,214,214,215,217,211,232,226,170,95,173,220,210,210,208,208,207,206,173,176,180,185,191,198,200,204,207,210,212,214,216,216,217,213,226,232,200,111,181,221,211,212,211,210,208,207,174,178,181,187,193,198,202,206,209,212,214,215,217,218,218,216,222,246,220,141,193,221,214,214,213,212,211,208,176,179,183,189,195,200,204,207,211,214,215,217,219,220,221,219,226,255,227,161,189,224,215,215,214,214,212,210,178,181,184,190,196,202,205,208,212,214,216,220,220,221,221,219,228,255,230,166,167,228,217,218,215,215,214,213,179,182,185,192,198,203,206,210,214,217,219,221,223,227,224,220,242,255,244,183,143,226,220,221,218,217,215,214,180,183,186,195,200,204,208,213,215,218,221,222,202,205,228,226,255,255,240,191,137,221,223,221,220,219,217,215,182,185,189,195,201,206,211,214,217,220,226,225,189,129,217,243,216,224,232,184,132,216,225,222,221,221,220,218,183,186,190,196,203,207,212,215,216,213,228,217,189,108,146,190,169,216,228,187,125,214,228,223,223,221,221,220,184,186,191,197,203,208,211,218,227,227,230,192,184,168,128,116,175,230,210,190,131,212,231,225,224,223,222,222,185,188,193,200,205,211,211,230,246,233,252,230,224,204,143,104,173,214,200,186,136,200,234,226,224,225,224,223,186,189,193,202,207,213,214,231,245,184,218,243,226,199,178,129,120,165,177,169,128,182,238,227,228,227,225,224,187,190,195,202,208,214,217,222,236,197,131,153,189,208,206,172,116,105,134,145,123,171,241,227,229,228,227,226,188,191,197,203,209,215,220,221,238,217,158,90,127,179,224,197,160,120,104,126,113,180,242,228,231,230,228,226,189,191,197,205,210,217,220,225,251,230,245,134,123,194,238,205,180,152,106,103,96,188,242,230,232,231,229,227,191,192,198,206,211,218,223,222,255,249,199,152,156,255,241,211,186,160,102,86,86,203,242,232,233,232,231,229,192,194,199,207,214,219,224,222,255,244,186,194,232,255,238,193,185,147,98,84,98,233,237,235,234,233,232,230,192,195,200,207,214,220,225,224,255,237,219,214,255,230,227,201,164,143,101,75,161,251,234,236,235,235,234,231,193,195,202,209,215,220,226,228,255,253,220,224,255,232,225,223,171,125,97,84,221,245,237,237,236,235,235,232,194,196,202,210,216,222,227,228,253,255,221,231,255,227,208,203,159,111,89,104,242,240,239,239,237,236,235,234,193,196,202,210,217,223,228,228,246,255,226,215,234,198,183,166,122,103,80,143,255,238,241,239,237,237,236,236,194,197,204,210,218,223,229,231,241,253,212,186,202,186,167,140,111,107,83,210,253,241,242,241,240,237,237,236,192,195,203,210,215,222,228,228,241,246,182,172,192,202,178,143,121,92,127,253,243,244,243,242,241,238,238,236,192,194,202,210,214,230,161,66,203,242,217,217,201,206,191,143,118,86,195,253,242,244,242,241,239,238,236,236,192,194,202,209,221,204,112,60,150,242,222,208,201,199,188,147,106,101,230,246,244,243,243,242,240,238,237,236
1,103,106,108,111,114,117,119,120,121,122,122,123,124,124,123,122,121,120,123,120,119,118,118,114,114,113,112,110,105,109,111,113,116,119,121,122,124,125,124,124,124,125,123,124,129,126,109,122,120,119,120,117,116,113,113,111,107,111,115,116,119,121,124,125,126,126,126,127,127,125,133,117,134,139,62,110,120,121,119,118,118,115,114,114,109,113,117,120,120,124,127,127,128,129,128,129,129,127,159,103,74,132,54,75,92,99,124,119,120,119,117,115,112,117,120,121,123,125,128,129,131,132,132,131,129,140,166,91,49,121,51,74,93,61,128,121,122,121,120,117,114,118,121,124,126,129,131,133,134,134,131,146,139,88,132,77,64,139,59,74,96,53,124,125,124,122,121,120,116,120,123,126,128,130,133,135,136,137,134,165,123,43,99,77,71,139,66,59,96,55,123,129,125,124,122,120,118,123,126,128,131,133,136,136,139,138,139,166,100,43,101,68,58,113,53,79,112,61,117,133,127,127,125,123,120,124,127,130,133,135,137,139,141,138,150,167,97,43,87,53,73,107,45,84,109,57,112,137,130,130,127,126,122,126,129,131,135,135,139,141,143,138,160,156,87,54,94,51,96,118,51,76,100,53,118,137,133,132,129,128,124,128,130,133,137,138,140,143,144,140,163,146,77,67,115,58,78,106,47,98,109,56,121,139,134,133,130,128,125,129,132,134,139,140,141,143,147,142,172,151,101,55,88,34,46,67,36,120,106,58,124,140,136,135,133,131,126,131,134,136,139,141,142,145,149,146,173,134,84,40,45,45,49,49,53,103,79,53,135,140,138,137,135,134,128,134,136,138,141,142,145,148,150,151,166,132,110,102,68,89,56,94,107,65,50,66,148,138,139,138,136,133,130,135,138,140,142,146,148,150,150,159,184,169,120,139,135,124,118,134,97,44,41,96,151,139,139,139,137,134,130,135,141,142,145,148,150,152,148,176,195,133,88,97,130,139,134,117,100,73,22,106,152,141,142,140,138,136,132,136,141,144,148,150,152,154,150,187,171,100,86,51,52,95,83,117,136,92,28,110,154,143,143,141,140,137,134,139,143,146,151,152,153,156,155,193,176,133,85,73,63,47,102,105,159,116,44,93,157,144,145,143,141,139,137,140,144,148,151,154,156,157,162,196,174,141,81,85,55,113,176,120,153,128,68,45,147,149,146,146,143,140,137,143,147,150,153,157,159,160,164,192,176,138,76,90,69,167,179,159,122,97,82,44,139,153,147,146,144,142,138,143,148,152,155,157,160,160,168,191,184,130,83,86,104,191,181,147,121,82,57,55,154,152,150,147,146,143,140,145,149,153,155,159,162,160,170,194,173,120,104,71,139,192,170,144,112,95,36,74,164,152,152,149,148,146,141,147,151,154,157,161,163,162,170,191,163,138,114,81,168,185,161,135,108,80,30,122,163,154,154,151,148,147,142,147,152,156,159,161,163,171,178,181,162,158,118,103,174,176,152,127,96,50,58,163,157,157,155,152,150,148,143,148,153,157,160,161,171,131,122,188,163,165,118,92,153,151,128,104,77,28,125,169,158,157,156,154,152,150,146,150,155,160,161,163,170,55,25,123,160,156,83,73,106,111,96,76,30,68,173,160,161,160,158,156,154,152,146,151,154,159,160,172,128,34,38,27,60,74,53,71,80,79,57,33,38,155,167,162,162,162,159,156,155,152,144,149,155,159,160,171,81,37,35,32,27,31,36,46,43,44,17,0,104,178,161,164,163,162,160,156,155,152
21,53,60,71,84,91,98,102,106,109,110,112,118,119,121,123,125,126,128,129,130,130,130,131,131,131,131,131,131,54,62,74,86,93,99,104,105,111,133,83,91,125,122,124,127,128,129,130,131,133,133,133,133,133,133,133,132,55,61,76,88,95,101,105,106,117,145,73,73,129,122,127,129,129,131,130,133,133,134,134,134,135,135,135,134,56,62,77,89,96,101,106,108,117,142,83,70,127,124,128,130,132,131,132,134,137,137,136,136,136,136,136,135,58,64,78,91,97,103,107,110,117,137,87,66,124,127,129,130,133,134,135,132,108,130,140,138,138,137,137,137,59,67,81,91,100,105,107,112,117,138,99,66,121,129,130,133,134,134,139,118,66,109,146,139,140,140,139,139,60,68,83,92,100,106,110,114,117,137,105,66,113,133,132,134,136,139,135,102,68,132,144,140,141,141,141,141,62,70,84,93,101,108,112,115,115,137,107,66,99,137,132,135,136,144,125,82,88,150,140,142,142,142,142,141,62,70,85,94,101,108,112,116,116,146,113,69,92,138,133,134,141,139,111,72,126,147,143,144,144,143,143,142,63,72,89,97,101,107,112,116,117,154,121,78,93,138,133,136,139,123,90,85,148,143,145,145,145,144,144,143,63,74,89,96,104,108,112,116,116,142,110,77,87,140,134,141,138,116,67,118,150,144,146,146,146,146,146,145,64,75,89,97,104,109,117,130,102,118,91,66,83,141,133,139,137,97,79,147,145,146,146,147,146,147,147,147,65,77,91,99,105,104,138,162,102,86,69,56,79,127,127,133,123,68,117,152,146,147,148,148,148,148,147,147,66,78,92,99,106,106,132,139,98,64,51,57,85,117,123,119,85,74,149,146,147,148,148,148,148,149,148,147,66,80,93,100,102,129,148,106,91,69,42,49,74,103,107,93,58,114,153,146,148,148,149,149,149,149,149,148,67,81,93,100,106,166,143,129,107,97,55,43,66,81,93,76,70,146,147,148,149,150,150,150,150,149,149,149,69,82,95,98,123,142,136,153,143,111,68,47,59,68,80,58,102,153,146,149,149,150,150,150,150,150,150,150,70,85,95,97,138,125,131,150,148,92,60,52,51,63,64,51,128,152,148,150,150,151,150,150,151,151,150,150,71,85,94,101,148,117,102,87,111,87,66,57,52,51,56,53,131,152,148,151,151,152,153,152,152,151,150,150,71,86,93,110,144,99,88,86,98,97,75,57,52,52,53,50,128,154,149,151,152,153,154,154,153,152,152,152,72,88,92,118,149,119,115,94,95,125,81,65,58,54,51,51,132,154,151,152,152,153,154,154,154,153,153,152,75,89,91,122,146,131,112,91,149,160,95,83,68,51,49,52,138,153,151,153,153,153,154,154,154,153,153,153,75,89,91,122,157,133,103,110,169,143,103,85,71,51,47,64,147,150,152,153,154,154,154,155,155,154,154,154,76,90,93,119,152,115,107,118,155,118,94,77,72,57,44,81,154,149,152,153,154,154,154,155,155,155,155,154,78,90,96,113,138,110,119,112,144,114,101,75,65,56,41,97,156,149,152,153,154,155,155,156,156,156,155,155,78,89,96,109,125,125,133,111,145,114,101,90,59,53,43,108,158,149,153,155,155,156,157,156,156,157,156,155,77,86,96,103,124,143,119,107,144,107,87,78,57,50,47,126,152,149,153,154,154,154,155,155,156,156,156,155,77,86,96,101,119,139,120,100,122,95,72,61,52,45,52,136,149,148,151,151,152,154,155,155,155,155,155,155
7,132,136,141,143,145,147,148,148,148,149,150,151,150,150,150,150,149,149,149,148,147,146,150,132,151,163,158,164,137,142,145,147,149,150,151,152,152,153,154,154,153,153,151,150,150,150,149,149,148,147,146,146,157,114,167,163,143,146,149,152,154,155,156,157,157,157,158,157,156,156,155,155,155,153,152,151,150,150,147,151,142,122,171,163,149,151,154,158,159,159,161,162,161,161,161,162,161,160,159,159,157,157,156,154,153,152,151,148,155,171,158,163,152,156,160,162,164,165,166,166,167,166,165,165,165,164,163,163,162,161,160,158,158,155,153,152,153,139,120,164,156,161,165,167,168,170,170,170,170,169,170,171,169,169,168,168,167,166,165,163,162,160,157,155,156,146,140,166,161,165,168,171,172,174,174,174,174,174,175,175,174,173,172,171,172,170,169,168,166,164,161,159,158,155,155,168,164,168,173,174,176,177,178,178,177,177,177,177,177,176,176,174,174,174,172,171,169,168,166,164,162,160,162,176,169,172,176,178,180,181,183,186,188,185,184,184,184,183,183,183,181,179,176,174,172,171,169,168,165,162,163,178,173,177,180,183,186,184,178,160,145,158,164,167,167,164,162,159,168,174,179,181,180,177,173,170,169,164,165,180,176,180,185,185,183,180,172,137,90,107,134,148,141,141,139,131,123,130,137,136,151,160,172,176,171,174,173,180,180,184,182,179,179,174,167,138,111,111,116,128,127,130,133,125,105,117,122,116,125,128,154,152,180,142,144,185,179,178,178,183,182,178,168,134,101,113,116,123,119,121,129,121,106,102,106,115,120,125,148,131,162,52,107,200,182,183,184,188,185,179,162,131,85,94,110,127,135,128,132,119,118,111,119,129,113,115,116,130,137,71,66,138,188,184,184,188,182,175,162,117,89,102,107,116,115,116,117,117,112,104,115,127,118,119,118,136,151,125,64,51,186,187,185,186,187,180,178,138,82,80,77,67,98,116,105,102,101,107,113,119,112,109,107,106,122,100,65,56,190,185,182,188,180,172,186,148,79,71,77,65,92,150,195,193,198,196,174,120,65,67,67,64,65,59,57,58,183,177,176,178,165,167,167,129,87,79,82,83,72,58,168,184,127,100,66,47,46,40,40,53,51,53,57,56,178,177,171,166,161,159,158,127,82,70,83,93,89,75,66,51,37,42,55,54,45,48,44,44,47,45,54,57,172,169,163,160,159,160,170,139,78,53,41,74,83,71,69,54,48,38,51,60,46,37,46,45,43,50,46,25,160,156,161,161,160,158,157,134,79,59,51,56,77,86,90,56,46,46,34,52,57,41,32,41,44,55,23,1,152,146,146,142,139,137,123,100,81,71,64,53,32,52,59,31,33,55,39,35,50,55,38,29,35,35,31,24,143,131,116,110,107,105,102,85,76,63,39,61,27,20,43,46,26,45,50,35,38,49,50,32,31,30,32,30,130,124,105,100,92,110,115,62,39,51,17,50,48,14,33,51,37,29,49,46,36,37,48,42,26,30,29,30,103,105,110,119,154,178,75,58,38,45,26,30,55,22,18,45,49,27,38,49,39,35,34,44,29,26,30,28,96,191,198,211,214,102,46,63,49,28,35,19,46,39,9,35,51,35,32,41,43,35,29,35,38,20,26,29,52,152,142,153,114,48,58,45,36,39,28,17,28,50,11,20,46,43,35,37,38,35,28,27,36,26,18,26,35,108,106,93,66,52,48,46,22,40,33,10,16,49,25,8,37,47,36,37,34,33,27,25,29,32,18,20
22,145,147,150,153,157,160,162,165,167,166,160,167,173,173,171,162,169,174,173,174,176,176,176,176,176,176,175,174,147,149,152,155,158,162,165,167,170,162,136,155,175,177,172,138,157,176,167,163,176,179,178,178,178,178,177,177,149,151,155,158,161,165,168,170,173,156,116,147,178,183,175,126,150,180,158,134,170,181,180,180,181,182,181,180,151,154,157,161,164,168,171,173,176,153,107,145,180,188,175,129,156,184,157,122,166,184,183,183,184,185,184,183,154,157,160,163,166,170,173,176,180,156,108,147,183,190,171,131,162,187,158,122,166,186,186,186,187,187,187,186,156,159,162,165,168,172,176,178,185,165,112,146,184,190,163,128,166,189,161,128,170,189,189,189,189,189,188,188,158,161,164,168,171,175,179,181,189,173,115,144,186,187,152,126,168,190,159,130,175,191,191,191,191,190,191,191,160,163,166,170,173,178,181,184,191,178,119,142,186,177,141,125,170,191,159,132,179,194,194,194,194,193,193,193,162,165,168,172,175,179,183,185,192,187,136,138,170,162,136,125,175,193,158,135,183,195,195,195,196,195,196,195,164,167,170,173,177,181,184,186,192,192,158,136,132,138,137,131,182,194,154,140,188,196,196,197,197,197,197,197,165,169,172,175,179,183,186,188,195,198,177,156,143,135,128,136,186,189,147,146,193,199,199,200,200,200,199,199,167,170,173,177,181,185,188,190,198,201,186,170,175,159,123,126,172,172,138,155,197,201,201,201,201,201,201,201,169,172,175,178,182,186,190,193,191,179,173,141,160,167,131,105,129,136,119,162,201,203,202,202,202,202,202,202,171,174,177,180,184,188,191,195,192,171,157,111,108,154,153,115,96,99,105,170,203,204,203,204,204,204,203,203,172,175,178,182,185,189,192,199,194,163,147,114,79,124,171,144,101,83,102,179,205,205,205,205,206,206,205,205,173,176,179,183,187,191,194,204,196,160,132,109,88,123,185,169,124,92,105,184,207,207,207,208,208,208,207,207,174,177,180,184,187,191,196,208,199,158,123,108,111,165,197,173,135,104,109,186,208,208,208,210,210,210,209,209,176,178,181,184,188,192,197,208,194,157,131,126,146,197,197,162,128,101,113,190,210,209,209,210,211,211,210,210,177,179,182,186,189,193,197,205,190,157,142,134,167,203,185,149,115,94,125,199,211,211,211,211,212,212,212,211,177,180,184,187,190,194,198,202,187,156,146,140,180,203,172,136,106,90,137,206,213,213,213,213,214,214,213,212,176,179,183,187,191,194,198,199,185,159,156,148,185,199,163,127,99,88,144,209,214,215,215,215,215,214,214,214,176,179,182,186,190,194,197,196,186,165,164,151,178,185,152,120,94,88,154,210,214,215,215,216,216,215,214,214,176,179,183,186,190,193,196,196,187,169,163,148,167,169,139,114,92,94,167,211,214,215,216,216,216,215,215,214,177,180,184,188,191,195,197,197,190,167,150,136,153,150,127,111,92,108,184,213,215,216,216,216,216,216,215,215,178,182,185,189,192,195,196,197,190,165,141,134,149,138,124,109,95,138,202,215,215,216,216,217,217,216,216,215,178,181,185,189,193,196,195,198,196,173,153,146,152,132,124,102,108,177,212,215,215,216,217,217,217,216,216,216,174,178,183,188,192,194,191,196,195,179,165,152,149,127,116,95,139,203,214,214,215,216,217,217,217,217,217,216,156,161,167,173,177,179,182,191,184,172,167,151,144,124,105,96,163,210,215,214,215,216,216,217,217,217,217,215
21,165,168,170,171,171,172,173,173,173,173,173,167,169,173,170,169,166,165,164,164,162,159,157,157,156,154,153,151,166,169,171,173,173,174,174,175,175,175,178,150,123,171,173,170,169,168,167,167,165,162,160,159,158,156,155,152,167,170,173,174,175,176,177,177,177,177,177,156,110,137,178,172,172,171,169,169,167,165,160,146,158,158,156,155,168,171,173,175,177,178,179,180,179,180,179,167,129,96,174,175,174,173,171,171,170,168,156,102,131,163,159,157,170,173,175,177,178,179,180,181,181,181,182,177,143,85,152,180,175,175,174,173,170,169,146,91,124,166,160,159,172,175,177,178,179,180,181,182,182,184,184,182,161,109,122,184,178,178,176,175,172,170,137,85,140,166,162,161,173,176,179,180,181,181,183,183,183,186,186,185,175,125,99,179,180,179,177,177,175,165,121,85,158,166,163,161,175,178,180,181,183,184,186,185,185,186,187,186,185,134,88,164,182,179,178,178,176,158,113,101,170,166,165,163,177,180,182,182,183,186,187,187,187,188,188,188,187,151,97,143,186,181,180,179,169,141,94,125,173,168,167,165,178,181,183,185,184,185,186,187,187,190,190,188,182,168,121,120,188,182,181,180,159,125,76,154,173,169,167,164,178,180,183,185,185,186,187,188,188,190,192,190,186,182,148,108,170,188,184,181,159,112,91,174,172,171,169,166,179,181,183,186,187,188,189,189,190,191,192,192,189,186,177,137,121,159,172,164,142,93,131,179,173,172,170,168,180,182,184,187,188,189,190,192,192,193,193,193,187,141,140,149,116,114,115,123,97,78,162,178,174,173,171,170,181,182,185,188,189,190,191,193,194,194,194,194,184,128,94,131,126,121,126,126,75,92,183,178,175,174,173,171,181,184,186,188,189,191,193,194,194,194,194,194,166,148,110,108,127,111,116,113,77,98,185,179,176,175,174,172,182,185,188,189,190,193,195,195,195,195,195,173,128,147,120,90,109,71,102,131,94,74,175,180,177,176,175,173,183,186,188,191,192,194,195,196,196,196,194,168,121,126,118,71,81,60,90,139,111,69,131,184,178,177,176,173,184,187,189,192,193,195,195,196,197,197,193,172,126,105,102,57,80,83,141,152,136,83,82,182,178,177,176,174,184,188,191,193,194,196,197,197,200,198,189,159,127,96,88,55,87,127,171,156,128,81,77,181,179,178,176,175,185,188,191,193,195,196,197,199,199,198,187,172,150,109,76,65,110,171,163,140,112,67,91,186,180,179,177,175,186,188,191,193,195,196,197,198,198,199,187,176,157,119,97,96,162,179,151,124,107,61,117,188,181,180,178,175,187,189,192,193,196,197,198,199,200,200,185,173,158,127,98,102,168,168,149,125,102,61,139,188,181,179,178,176,186,189,192,194,195,197,198,200,200,201,184,162,151,126,100,101,158,162,141,118,91,59,159,187,182,180,178,176,186,189,193,195,196,198,198,200,201,201,187,159,154,133,112,102,150,154,132,104,74,65,180,185,183,181,179,177,187,188,193,195,197,198,199,201,201,201,198,169,156,138,116,93,131,132,110,87,53,96,191,184,183,181,179,177,186,187,190,193,194,196,197,199,199,199,199,181,166,143,114,95,109,115,97,75,44,142,189,183,181,179,178,176,185,188,190,192,195,197,197,198,199,199,199,186,167,143,117,105,101,109,104,66,72,183,185,182,180,179,178,176,186,188,191,194,195,197,198,198,199,199,197,187,170,146,132,125,111,111,98,55,128,192,185,183,180,179,177,175
16,115,116,117,118,118,131,143,155,165,174,182,188,191,192,195,201,206,211,215,219,223,226,228,231,234,236,239,241,114,115,117,117,118,132,144,155,165,173,183,189,190,192,195,199,205,211,216,220,223,226,229,233,235,236,240,242,113,113,115,116,118,131,144,155,163,173,182,188,190,189,194,198,202,209,214,219,221,225,227,231,235,237,239,241,113,113,117,116,118,132,142,154,165,175,182,187,189,190,189,200,207,208,212,218,221,225,226,231,235,236,239,241,113,113,115,115,119,132,143,154,164,170,178,180,207,212,179,163,187,213,219,216,219,224,229,231,235,237,240,243,113,112,114,113,118,131,143,155,159,182,192,210,232,209,181,155,131,144,189,222,226,226,228,231,236,238,241,241,111,112,113,112,117,129,144,144,180,243,228,230,216,184,164,161,140,117,108,145,199,222,232,236,235,236,239,241,111,113,113,113,116,131,139,148,238,237,214,203,194,175,156,139,137,129,114,107,113,140,172,203,232,242,239,241,109,111,113,111,116,126,138,232,238,199,190,183,170,159,138,126,130,136,120,118,112,107,107,117,152,208,241,246,108,110,113,109,116,112,186,243,196,184,173,159,144,132,124,125,117,144,129,125,119,112,107,105,104,118,166,225,102,102,104,102,105,167,203,191,177,169,149,133,124,115,121,109,107,140,138,147,123,117,108,104,107,107,102,126,155,149,152,144,178,226,182,170,163,142,125,119,107,110,116,84,110,142,147,150,129,121,107,104,103,106,109,102,146,150,150,148,246,226,186,155,131,122,115,102,97,111,93,69,126,144,148,152,134,125,111,109,103,103,106,107,142,147,128,184,250,211,169,132,104,101,93,87,99,92,58,67,130,140,146,163,150,138,119,112,102,101,104,103,152,147,156,239,220,187,138,109,91,97,80,68,63,52,44,53,126,136,153,180,171,149,134,105,99,103,102,99,154,137,208,218,181,150,114,94,86,89,61,43,41,39,41,43,113,137,160,191,158,154,142,99,98,99,99,96,143,171,231,188,142,112,97,89,90,88,70,40,36,37,37,35,86,129,183,180,133,156,141,95,97,94,97,96,144,227,212,156,113,86,86,92,97,98,99,79,41,44,51,53,47,153,204,151,123,146,121,94,97,95,97,92,189,214,162,118,97,117,100,99,102,104,103,96,74,76,78,62,91,210,179,130,118,118,99,94,94,95,91,89,221,160,120,84,125,147,116,127,116,112,106,97,91,91,86,69,182,201,155,118,105,96,90,95,93,90,93,98,172,122,85,109,143,122,122,122,119,112,107,98,90,88,67,119,223,182,135,103,93,87,88,90,86,92,100,100,126,92,111,149,150,143,141,124,110,103,108,93,92,106,111,190,224,185,113,91,87,90,92,89,91,97,96,96,131,132,148,149,152,152,150,150,141,136,142,138,141,152,145,224,228,190,109,73,82,96,94,92,94,95,97,98,153,151,149,149,151,151,150,152,152,154,152,153,153,152,147,227,233,196,123,81,130,111,106,101,99,101,100,100,149,147,148,149,151,150,150,151,150,150,152,152,152,154,142,199,217,181,113,134,182,123,116,116,114,112,104,101,149,149,147,149,151,150,149,150,151,152,151,152,153,156,147,162,189,145,110,142,191,169,130,122,126,128,117,104,150,149,148,148,151,150,149,149,150,150,149,150,153,152,151,151,158,129,127,144,169,207,167,150,145,145,133,120,148,149,149,149,150,151,150,150,150,150,151,151,154,153,153,153,153,152,153,148,150,220,193,174,164,155,144,131
24,67,79,90,98,106,109,110,115,122,125,128,132,134,135,139,141,142,143,146,147,147,148,146,147,147,146,145,145,67,80,92,101,108,110,112,117,124,128,130,134,136,138,141,142,144,146,148,148,148,149,149,149,149,148,148,148,68,81,93,102,108,112,113,120,125,129,132,136,138,141,143,144,146,147,148,149,150,151,151,149,149,149,150,149,70,83,94,104,110,111,118,122,127,130,134,137,140,143,145,147,148,149,150,151,151,152,153,152,151,151,151,150,71,84,95,106,110,140,110,119,130,132,136,138,142,144,147,148,149,151,152,154,153,154,154,154,154,153,153,153,71,85,96,105,116,155,87,96,136,133,137,140,143,146,148,149,152,152,154,155,156,156,155,155,155,155,156,155,72,85,97,107,114,134,82,73,134,135,139,143,145,149,151,152,154,159,158,157,158,156,158,157,156,156,156,156,72,86,99,108,111,136,94,57,123,141,140,146,147,147,150,161,162,132,148,162,158,159,159,159,159,158,157,157,73,88,99,110,114,125,113,67,92,144,140,131,154,151,103,145,176,122,84,154,163,161,160,161,160,160,160,159,75,89,101,111,118,120,138,87,61,132,160,114,154,168,90,120,167,119,65,97,170,162,162,161,161,162,161,160,75,90,101,112,119,120,133,108,81,133,187,136,170,176,101,153,152,84,61,66,156,166,163,162,162,163,163,163,77,90,102,113,121,122,129,148,107,136,201,140,162,173,95,162,143,65,50,57,124,175,162,165,165,165,161,153,78,92,103,113,121,123,126,143,129,156,193,133,143,173,98,167,150,62,51,63,88,177,165,168,166,160,151,133,78,93,104,115,122,125,125,143,187,161,175,145,128,162,100,180,151,50,48,63,55,155,175,164,165,165,137,97,80,93,106,116,123,127,126,150,174,137,146,133,94,142,104,190,122,34,56,72,62,99,163,157,169,148,96,67,81,95,107,117,124,128,129,148,192,157,137,122,84,129,105,77,41,53,66,87,110,120,142,147,135,88,67,140,82,96,108,118,124,127,130,144,195,172,136,119,126,129,148,78,84,139,134,142,140,133,126,116,78,82,160,177,82,96,109,119,126,128,131,142,189,178,154,128,122,129,158,161,184,177,166,153,135,113,98,72,78,170,177,171,83,97,110,119,126,127,132,141,187,179,151,128,138,174,190,195,180,166,154,140,115,92,65,69,165,180,173,174,83,98,111,119,126,128,133,139,181,181,157,144,150,176,194,193,178,158,142,118,92,58,75,162,182,175,177,175,84,99,110,120,127,128,134,137,169,185,165,153,144,174,193,187,171,146,123,98,57,98,177,181,177,179,177,177,85,100,110,121,128,130,135,139,160,184,167,144,132,168,175,165,155,133,108,59,105,187,181,178,180,179,178,177,84,99,110,121,128,128,134,140,154,176,148,127,131,167,160,141,126,104,59,101,187,180,179,180,180,180,179,177,83,99,110,120,126,128,132,139,151,169,147,140,144,168,153,124,103,63,66,178,181,179,179,179,179,178,179,178,83,98,110,121,127,128,133,141,151,188,170,159,152,163,144,109,91,51,126,185,176,179,180,180,180,180,180,179,83,98,111,121,127,127,134,142,149,195,184,164,146,158,130,100,81,58,155,183,179,180,182,182,181,181,181,180,83,98,110,121,127,128,134,141,147,178,169,151,144,158,124,109,65,61,167,182,180,181,181,181,181,181,181,181,81,96,110,120,126,128,134,139,150,173,154,132,140,150,122,102,49,63,174,181,181,181,181,182,181,182,182,181
3,70,19,41,63,77,84,92,100,105,109,113,116,118,120,122,123,125,126,129,129,119,133,134,136,138,139,138,139,64,16,45,65,78,85,93,101,106,110,113,116,119,120,122,125,126,128,130,140,93,116,139,137,137,139,139,141,55,17,50,66,80,87,94,102,107,111,114,117,119,121,123,125,128,128,133,149,94,103,142,137,137,139,141,141,47,20,53,68,80,88,96,104,108,112,117,119,120,122,124,126,129,128,137,146,88,106,142,136,138,140,141,142,39,23,55,70,81,88,97,105,108,113,117,119,121,124,125,126,132,130,141,146,88,112,143,138,140,141,142,143,30,28,58,73,82,89,99,106,110,114,118,119,122,126,129,129,120,124,148,134,87,112,144,140,142,143,143,145,23,34,60,75,84,91,99,107,111,115,119,120,122,114,138,157,128,99,138,117,83,114,146,141,143,143,144,145,18,39,62,77,85,92,100,108,111,116,115,141,158,125,106,136,144,92,114,115,74,125,146,143,144,144,145,146,16,44,65,78,85,94,102,109,112,115,121,135,147,154,114,97,141,116,125,106,77,137,144,144,145,146,146,147,18,48,66,80,88,95,104,109,109,131,165,139,93,114,130,81,130,132,126,100,75,140,144,144,145,147,148,148,21,51,67,81,89,96,104,111,110,140,148,139,120,91,126,110,71,71,125,112,85,106,149,145,147,148,148,149,24,54,70,81,89,96,105,111,110,145,130,93,124,114,101,127,71,63,115,139,126,80,130,150,147,148,149,151,29,55,72,83,90,97,106,110,113,151,120,72,80,82,85,87,87,89,94,138,129,83,128,152,147,149,150,151,32,58,73,83,91,98,107,109,116,149,119,110,96,74,85,87,103,98,102,143,125,82,140,150,149,150,151,151,35,61,74,83,92,98,107,108,124,155,135,113,90,77,91,105,117,100,116,159,123,87,149,149,150,151,152,153,40,63,75,84,92,99,107,107,126,157,123,97,81,83,97,117,121,118,140,158,113,93,153,149,150,151,153,154,44,64,76,85,93,101,108,108,128,154,121,100,87,89,102,124,127,149,154,150,105,93,154,149,151,152,153,154,48,65,78,85,93,101,109,107,128,158,132,107,93,90,105,126,147,165,148,131,101,96,156,149,152,153,153,154,50,66,79,86,94,102,108,109,127,159,135,116,97,97,106,138,164,162,146,115,84,110,157,150,153,154,154,154,53,66,80,87,94,102,108,110,125,160,143,122,101,101,111,151,162,156,143,112,72,120,156,150,153,154,154,154,55,68,80,88,95,102,108,111,120,154,142,123,113,106,116,157,162,150,137,106,69,132,155,150,153,155,155,154,57,69,80,87,95,103,107,112,116,142,143,130,126,115,120,153,157,143,131,97,73,145,152,152,153,155,155,155,59,71,81,87,95,103,107,112,115,132,146,137,132,125,116,142,146,131,120,89,86,155,151,152,153,154,155,155,59,72,82,88,95,105,109,112,115,130,149,141,134,122,113,128,134,123,120,77,109,158,150,153,153,154,156,156,60,72,81,88,95,104,109,113,114,133,158,141,130,114,110,121,121,120,116,79,136,154,151,153,154,154,156,156,61,73,81,88,96,105,108,113,114,138,162,139,130,116,112,123,116,121,96,93,154,149,152,153,154,155,156,156,61,74,82,89,97,104,108,114,113,148,162,146,136,118,123,129,115,112,81,119,155,149,152,153,154,155,156,156,61,75,82,89,97,104,107,114,114,152,163,158,132,120,129,129,112,95,76,136,152,151,153,153,154,155,156,156
13,191,192,195,196,196,197,199,201,202,202,203,203,204,204,204,204,204,204,203,203,204,203,203,204,204,202,202,201,191,193,196,197,197,199,202,203,204,203,205,204,205,206,206,206,206,205,204,204,204,203,204,204,203,204,204,204,193,195,198,198,201,203,203,204,204,205,205,206,208,208,208,208,208,207,206,208,205,204,205,206,206,205,206,205,195,197,198,199,201,203,204,205,205,206,206,208,210,210,208,210,208,213,214,202,210,205,208,207,207,208,208,207,197,198,200,201,203,203,205,207,207,208,208,208,210,209,210,209,211,242,227,171,185,216,203,210,210,209,209,209,198,200,202,203,204,206,208,208,209,209,210,210,208,212,211,208,223,247,215,159,181,236,176,162,211,210,210,209,200,201,203,205,205,206,209,210,210,210,212,210,213,244,222,196,239,238,225,152,198,226,178,119,180,217,210,210,200,202,205,206,207,208,210,211,211,213,212,206,231,253,237,200,207,205,184,117,202,222,168,113,158,223,210,212,201,204,206,207,209,210,212,212,212,214,214,224,218,245,245,223,165,116,122,110,197,188,126,99,165,223,212,214,203,205,207,209,211,211,212,213,214,211,233,250,207,194,253,232,187,112,105,144,207,177,138,108,170,224,215,216,205,206,207,210,212,212,213,216,213,219,253,250,234,173,222,233,184,135,80,116,215,233,229,149,172,225,215,217,205,207,209,211,212,215,216,218,212,237,249,251,248,200,165,212,173,129,86,139,214,225,223,183,178,225,218,220,206,209,212,212,213,217,218,217,216,250,237,237,240,205,133,182,201,132,138,241,237,216,197,187,160,221,220,221,207,210,212,213,215,218,219,216,231,253,240,219,208,170,112,159,219,165,225,252,238,218,190,170,148,219,223,221,208,210,213,215,216,217,219,217,235,253,245,222,196,169,127,103,199,235,250,242,235,211,184,147,166,227,221,221,211,212,215,217,217,217,221,219,232,253,247,223,186,183,153,129,242,253,250,242,224,193,173,137,185,230,222,222,211,213,216,218,218,218,220,219,238,253,249,232,217,193,215,232,253,251,248,239,212,189,165,132,196,232,224,224,211,214,217,218,219,220,223,220,240,253,252,241,236,218,227,238,252,247,240,234,207,181,148,131,214,229,225,225,213,216,218,219,220,222,225,220,236,253,252,247,238,226,224,229,251,241,229,228,205,162,128,162,234,225,227,226,214,217,219,221,223,222,224,224,231,253,253,252,239,222,226,231,240,226,218,214,180,137,125,216,233,227,228,228,217,219,219,222,223,225,229,225,221,245,240,229,212,206,221,227,241,227,215,195,152,107,162,240,228,230,230,230,217,219,221,222,224,222,184,174,171,164,149,135,131,128,129,134,145,138,139,138,118,127,235,233,230,231,230,230,217,219,223,223,227,216,152,153,153,145,132,126,121,114,106,101,85,77,74,70,69,89,165,230,232,231,231,231,218,220,223,224,227,225,162,152,154,142,132,128,124,113,108,99,91,84,78,71,67,66,53,126,242,229,232,232,219,221,222,224,228,232,168,150,150,140,132,128,121,111,103,96,87,79,74,70,66,71,56,160,245,233,234,234,218,220,223,224,225,233,172,152,149,140,138,130,119,107,100,94,87,78,74,69,68,55,123,248,234,235,234,234,218,220,221,224,226,231,174,147,149,138,136,128,116,102,95,92,85,78,73,70,67,67,216,240,234,235,234,234,218,220,222,225,227,232,173,146,145,138,132,123,111,101,94,92,86,79,73,70,57,113,245,233,236,234,235,234
22,87,90,97,106,115,123,129,132,136,141,145,149,151,154,157,159,159,161,161,161,161,161,159,158,158,158,158,156,87,92,98,109,118,125,131,134,138,143,147,151,154,157,159,161,161,163,164,164,164,164,163,162,161,161,160,159,88,93,98,110,119,128,133,136,141,146,151,154,157,158,161,163,164,165,166,167,167,166,165,165,165,164,164,163,89,94,100,111,121,130,136,138,142,148,154,156,158,160,163,165,166,168,168,169,169,170,169,169,167,167,166,166,90,94,102,113,123,133,138,140,145,151,155,176,139,157,166,168,169,171,173,164,153,173,173,171,170,152,166,168,90,94,102,115,125,134,139,142,147,152,163,196,124,144,168,169,172,174,187,153,107,174,174,180,164,108,147,170,90,94,103,116,126,135,140,143,149,155,167,205,134,137,171,172,175,179,186,135,106,178,179,189,158,101,160,173,91,94,104,117,129,137,141,145,152,157,166,210,152,132,174,176,177,188,183,117,136,181,195,181,127,118,176,176,92,95,105,118,130,139,143,147,154,159,168,217,167,124,176,178,180,186,168,101,161,189,200,169,113,159,180,178,92,96,107,120,131,140,145,148,156,161,167,214,170,120,172,180,185,191,155,91,181,200,177,142,120,180,182,181,93,96,107,120,132,141,147,150,157,164,168,211,184,132,163,182,194,200,142,98,211,213,168,109,154,184,184,183,92,96,108,121,133,143,148,152,159,165,169,205,195,149,149,184,192,191,114,134,223,205,151,109,182,186,187,185,93,97,109,122,134,145,149,153,160,167,171,187,193,139,115,174,181,186,163,200,208,177,117,135,189,189,188,187,95,98,109,123,135,147,151,154,161,168,172,171,192,131,137,183,189,196,207,208,191,140,95,176,192,190,189,188,94,98,111,125,137,147,151,156,162,172,185,149,182,156,156,199,189,203,204,202,164,109,132,194,194,193,190,190,93,98,111,125,137,148,152,156,163,191,194,170,152,154,139,165,177,201,195,180,142,98,169,197,195,194,192,192,95,98,111,126,138,149,154,158,165,190,188,189,178,171,135,93,136,169,170,140,127,92,184,199,198,196,194,193,94,99,113,126,139,149,154,159,165,182,193,178,175,162,130,107,91,97,121,116,107,91,195,201,200,198,196,195,94,99,114,127,141,150,155,159,166,185,192,173,147,143,147,136,112,89,85,78,99,87,194,202,200,198,198,197,95,99,114,128,141,150,156,160,167,185,225,191,146,144,151,156,137,115,105,80,69,79,190,202,201,200,199,199,95,99,113,128,141,151,156,160,168,180,229,193,167,166,195,193,156,131,117,76,59,72,191,203,203,201,200,199,94,99,114,129,142,152,156,160,168,178,230,201,178,197,225,211,173,139,115,74,59,82,200,204,203,202,200,201,94,99,114,129,142,153,156,160,169,177,225,206,185,197,225,193,171,131,110,77,58,104,205,205,204,203,202,201,93,99,114,129,142,152,156,162,170,175,213,217,201,190,222,184,172,151,109,77,58,115,207,207,206,204,202,201,90,98,114,129,143,152,156,162,170,177,199,220,207,176,216,187,166,153,109,71,57,135,207,207,207,205,203,202,89,97,114,129,142,151,154,162,171,177,187,216,204,163,194,177,151,135,94,64,61,171,207,206,206,204,203,202,88,96,113,129,142,151,155,162,171,165,142,196,192,151,152,146,123,102,75,66,78,199,208,207,207,204,204,203,86,94,112,128,142,151,155,162,171,102,31,158,173,131,139,141,126,99,79,68,106,208,209,207,207,205,204,204
4,203,205,205,206,209,211,213,214,214,214,214,213,214,215,213,215,212,213,215,214,214,214,216,215,214,212,211,212,206,206,208,211,213,213,214,215,215,215,215,215,215,214,215,218,221,218,215,216,220,218,215,217,216,214,214,215,209,210,213,215,216,215,216,215,216,218,218,220,222,222,214,188,175,208,208,174,178,222,223,218,221,218,217,216,212,214,215,216,216,218,219,219,218,219,219,206,199,207,235,222,182,145,154,192,156,126,204,226,222,222,220,220,214,215,216,217,220,221,222,222,222,224,223,220,196,148,152,233,214,148,73,115,170,87,117,240,220,222,223,223,216,218,219,221,221,222,223,219,219,206,225,235,214,158,88,140,220,142,83,44,131,98,92,235,222,224,224,223,219,221,220,222,223,224,222,224,220,154,123,167,222,167,91,41,196,164,107,33,115,132,91,229,229,227,225,226,221,223,224,224,225,222,227,223,224,160,78,58,197,200,114,24,155,225,151,48,107,173,102,227,230,228,227,228,221,225,227,226,227,225,229,190,185,171,121,30,164,233,114,77,171,221,160,77,71,154,133,238,229,230,229,230,223,225,225,228,230,228,231,200,118,172,174,62,101,208,121,67,109,158,150,73,55,90,71,219,236,230,231,231,224,226,228,229,230,229,234,209,162,158,160,88,67,100,97,85,80,102,114,69,80,116,80,133,247,230,235,233,226,227,231,230,231,230,237,229,202,159,114,79,75,90,84,98,104,93,86,72,158,170,152,102,205,244,233,233,229,230,232,232,233,232,240,228,186,159,122,98,100,105,108,128,130,135,149,144,162,199,180,121,116,248,234,236,229,230,232,234,234,233,240,222,170,137,118,101,118,130,156,168,186,209,232,225,189,179,148,104,62,200,247,234,229,230,233,235,236,235,240,228,184,149,127,113,137,139,185,225,203,224,225,218,202,171,131,87,59,147,255,234,231,233,236,238,238,236,239,245,206,166,131,122,135,145,214,224,211,222,221,212,190,166,130,91,56,176,252,236,231,235,237,238,239,239,236,244,220,182,147,122,134,158,218,225,223,231,228,210,193,169,125,82,77,233,244,240,233,235,237,238,239,240,238,243,237,199,161,126,157,159,207,230,238,243,236,219,194,149,115,68,137,255,242,244,235,237,237,238,240,241,239,241,245,214,171,143,173,172,196,233,245,247,252,234,183,135,105,66,202,255,243,245,236,238,239,240,242,244,240,236,241,235,177,154,176,184,206,234,250,255,255,223,165,133,86,91,250,246,247,245,238,239,240,241,244,245,244,230,227,234,192,162,175,182,211,239,244,255,237,189,149,128,67,151,255,245,248,247,239,240,240,242,244,244,249,225,221,234,211,177,169,179,207,237,234,233,203,167,138,110,63,220,255,246,248,247,240,240,241,242,242,243,249,234,214,234,222,197,179,183,202,224,227,201,178,149,117,74,132,255,248,248,248,247,239,240,241,241,243,244,246,247,215,212,216,205,191,188,187,193,198,174,149,115,81,84,239,254,250,251,251,249,236,238,238,239,240,242,243,250,224,206,215,202,193,186,170,169,180,161,126,95,52,169,255,246,250,251,252,249,237,238,238,240,241,243,244,250,226,214,209,193,184,178,157,152,163,145,96,79,65,230,255,249,250,249,250,249,240,240,241,243,244,244,244,249,232,214,195,162,170,169,159,157,149,125,90,68,99,255,250,252,252,249,250,249,240,241,243,244,245,245,245,250,236,215,206,177,195,190,177,163,145,123,101,58,134,255,249,253,252,250,249,250
11,115,120,126,132,137,140,145,149,152,154,155,160,169,146,158,159,158,159,159,158,158,157,156,155,143,161,171,178,118,124,131,137,141,145,150,153,157,159,159,165,180,121,154,163,161,161,160,159,158,157,156,154,154,170,177,182,122,128,136,144,148,152,156,160,162,164,165,172,196,116,140,168,165,165,164,163,162,161,159,157,167,138,175,184,127,132,141,149,154,157,162,166,169,172,172,180,200,113,130,174,171,170,169,168,167,166,164,162,164,166,183,184,131,137,147,155,160,164,169,173,176,178,179,187,196,109,132,180,177,176,175,174,173,172,170,167,166,167,151,176,134,141,152,160,166,170,175,179,182,185,185,197,200,111,139,187,183,183,182,181,179,177,174,172,170,164,150,178,137,145,157,165,171,176,181,185,188,191,191,214,195,100,151,193,190,189,189,187,185,182,180,178,175,172,170,186,141,150,163,171,176,181,186,191,194,197,198,225,190,98,167,199,196,195,194,193,191,189,186,183,181,177,177,194,145,154,167,175,181,186,191,196,199,201,206,206,139,97,175,203,201,199,199,199,197,195,193,189,186,183,181,198,149,158,170,179,185,191,196,200,203,204,222,197,112,91,181,208,205,204,204,203,202,200,198,195,191,188,186,199,152,161,174,183,189,194,200,204,212,204,155,161,133,102,189,211,209,208,208,207,206,204,201,199,196,192,183,199,155,165,178,186,192,198,203,210,234,199,110,101,141,110,183,215,213,212,212,210,209,208,206,203,202,170,116,194,157,168,181,190,195,201,208,175,172,175,133,97,132,112,164,218,215,215,215,214,212,210,209,206,202,123,71,123,159,171,183,192,199,216,222,163,110,121,152,107,108,113,137,218,218,219,218,217,211,200,187,183,169,88,68,64,161,173,186,197,218,217,192,181,147,103,128,110,93,121,113,208,223,221,216,210,207,188,168,161,135,83,67,64,163,175,189,218,219,165,128,154,170,113,92,98,84,140,131,182,220,217,215,212,206,178,149,127,103,71,61,62,165,177,192,225,199,142,105,94,155,116,84,100,74,134,151,124,180,215,219,198,163,127,88,61,57,54,52,58,166,179,192,216,178,122,89,71,128,122,91,111,76,108,145,125,178,205,187,140,98,73,50,47,47,47,51,47,167,180,190,207,175,127,98,80,99,125,102,128,105,149,159,141,166,161,119,73,51,59,55,41,42,45,51,28,166,180,190,211,190,143,111,90,90,109,124,153,150,188,159,126,129,95,53,52,44,46,56,49,35,36,37,33,168,181,192,215,197,155,127,99,99,114,167,207,209,184,141,113,84,55,39,41,49,41,46,51,42,34,32,34,169,182,193,215,203,170,138,108,114,125,191,218,199,164,124,92,38,37,50,35,45,47,39,42,46,35,31,32,158,169,180,205,203,177,144,120,124,130,186,205,176,140,110,78,33,23,48,45,36,46,43,36,39,40,28,31,118,120,121,160,197,184,152,134,130,131,168,191,164,127,96,58,44,17,37,50,41,39,43,36,32,38,29,25,115,115,115,132,188,186,159,145,134,124,154,172,150,112,65,34,51,21,23,46,45,41,38,36,28,32,33,22,116,117,117,126,186,185,164,150,132,113,136,139,117,78,36,25,50,33,14,36,47,40,37,35,29,27,28,27,116,117,118,124,186,191,168,148,129,113,118,116,83,35,30,27,43,45,16,23,45,42,35,35,32,27,24,24,116,117,118,117,176,189,156,136,124,114,114,102,64,27,14,29,37,51,28,14,36,42,33,33,33,26,25,21
4,157,156,156,155,154,153,152,151,152,151,150,149,149,147,146,145,143,143,141,139,137,136,134,132,130,131,130,128,158,158,158,156,155,155,155,154,153,152,151,150,150,148,146,146,144,143,142,141,140,137,136,134,133,131,131,130,158,158,158,157,158,157,156,156,156,155,154,151,151,149,148,147,145,142,141,142,142,139,138,137,135,132,131,130,161,160,159,158,160,159,158,159,157,156,155,154,154,155,153,148,149,151,143,141,141,141,140,138,135,134,133,131,163,163,163,162,160,160,160,158,156,157,157,145,134,138,137,145,122,117,146,147,144,144,138,138,137,136,134,133,164,164,164,161,161,161,161,159,158,159,157,144,135,130,105,77,85,77,85,137,133,137,146,137,138,136,135,132,165,164,163,163,163,164,163,162,160,145,146,127,88,55,111,58,18,87,71,47,52,46,102,147,137,137,135,133,166,165,164,165,165,164,163,162,156,154,144,131,95,19,68,69,4,62,69,17,22,38,30,143,139,138,137,134,166,167,167,165,166,165,165,164,162,116,73,102,127,48,56,88,77,66,47,8,54,68,18,109,149,138,138,136,167,166,168,167,167,166,166,162,165,126,46,2,135,98,60,90,119,97,54,57,54,78,40,94,152,138,138,137,168,169,168,167,168,168,167,167,154,97,40,0,40,74,23,46,63,94,69,68,58,68,41,63,154,138,140,139,169,171,170,169,169,169,168,168,145,103,76,49,10,20,21,11,0,53,85,67,55,54,53,31,142,143,140,138,171,171,171,169,168,170,169,167,152,132,97,54,16,20,37,26,31,25,39,49,54,85,82,19,112,151,139,138,171,172,171,169,171,171,169,167,157,120,74,42,15,20,30,42,63,46,19,38,121,112,89,32,74,155,138,138,173,173,172,172,173,173,168,169,155,113,72,30,13,20,36,57,61,50,60,78,93,114,109,61,44,152,139,140,174,174,173,174,174,173,169,168,160,130,90,43,19,30,45,65,63,71,109,129,108,112,116,71,22,139,144,140,175,175,175,176,176,175,172,166,155,132,100,54,22,29,50,77,88,98,118,124,119,104,82,58,9,131,146,140,175,176,176,176,176,175,174,165,154,143,113,73,33,26,52,80,104,122,133,128,107,91,65,26,19,146,144,142,174,176,176,176,176,176,174,164,148,149,123,87,54,28,39,97,120,139,137,125,98,77,53,0,75,157,142,142,176,176,176,176,176,177,175,162,144,143,127,95,62,39,41,113,131,138,131,113,85,65,31,8,142,148,145,144,177,177,177,175,175,175,176,158,139,137,135,106,69,55,54,119,132,130,121,99,72,53,2,76,161,145,146,144,177,177,177,176,176,176,179,158,137,140,137,112,81,66,66,120,128,125,106,79,60,32,9,144,152,148,146,144,179,177,176,178,178,177,178,164,144,148,142,116,90,64,64,119,119,113,91,60,45,0,79,165,148,150,147,146,178,176,175,178,178,179,179,169,148,154,137,117,98,68,58,107,107,93,70,49,13,17,155,154,151,151,149,147,179,178,178,181,179,179,180,170,159,153,135,121,103,79,60,85,90,72,53,30,0,120,164,152,151,151,149,147,179,179,180,181,180,178,181,170,160,148,133,117,100,88,70,68,76,57,38,0,70,170,153,154,152,150,149,148,179,179,180,181,181,180,177,164,158,149,136,127,115,100,83,61,61,43,9,22,162,158,157,155,154,151,149,148,180,181,180,181,181,182,166,154,160,150,133,129,114,94,85,60,49,30,0,108,170,156,158,155,154,152,149,149
4,165,168,171,174,176,179,181,184,185,187,187,188,191,191,191,192,190,190,188,189,189,188,188,187,187,186,186,185,166,169,173,176,178,180,182,185,187,188,189,193,193,191,189,189,196,192,192,191,191,189,189,188,188,187,187,186,167,171,174,177,180,181,184,186,188,188,187,183,190,206,188,145,156,199,192,193,192,190,190,189,190,189,187,187,168,172,174,178,181,185,186,189,187,204,195,158,147,225,197,149,102,199,199,197,194,193,192,191,192,191,189,189,170,174,178,180,183,186,187,186,182,232,220,173,118,195,203,150,94,144,164,176,200,194,194,193,193,192,191,190,171,175,180,182,184,183,196,213,192,167,219,196,131,167,211,151,75,94,150,113,167,202,193,195,194,193,192,191,172,176,180,183,186,187,221,229,199,118,191,199,125,139,196,135,71,102,155,118,92,198,197,196,195,194,192,192,173,176,181,184,185,190,217,207,188,114,174,179,117,108,161,123,66,123,165,123,76,187,202,197,195,195,195,193,173,179,182,184,186,187,216,189,191,118,157,167,114,82,131,111,80,180,172,112,77,191,202,196,195,197,195,194,175,179,182,185,188,187,221,182,172,158,141,171,149,86,115,90,89,179,140,80,78,201,201,196,197,198,196,195,176,180,183,187,189,190,229,214,178,134,97,186,167,161,148,137,140,163,153,101,79,206,202,200,199,199,197,195,177,180,186,187,188,194,232,208,173,126,89,107,112,176,153,169,187,200,191,127,98,209,203,202,200,200,199,198,177,182,186,187,188,202,230,185,145,120,100,84,76,113,155,166,180,187,173,125,93,198,204,202,201,199,200,199,178,182,186,190,186,211,229,188,151,115,91,88,99,98,124,142,141,150,157,137,82,167,212,201,201,200,201,200,178,182,186,190,186,216,229,192,151,119,102,96,104,129,121,128,153,161,173,151,93,129,217,201,202,202,200,201,179,183,187,191,189,223,225,185,142,112,104,96,99,139,135,174,199,199,203,165,115,87,203,206,204,203,201,201,180,184,188,192,191,225,223,185,144,118,106,105,107,135,154,207,219,211,216,179,129,72,161,217,204,207,203,203,181,184,188,192,191,222,214,185,149,133,120,111,110,133,202,217,222,202,195,165,123,71,154,219,204,206,204,203,181,183,187,192,191,219,208,186,157,135,119,114,118,177,229,225,210,191,164,140,99,81,194,211,206,206,204,203,180,182,187,191,189,217,216,188,147,123,115,124,145,216,230,220,192,167,140,112,74,132,216,205,205,205,205,203,181,182,187,190,190,212,222,190,156,154,132,134,169,227,222,204,176,148,120,89,80,199,210,206,205,206,205,202,180,184,187,191,192,205,217,198,172,167,145,119,183,226,205,184,157,132,104,66,138,220,207,208,207,206,205,203,180,184,187,191,193,204,222,201,173,167,148,118,193,213,184,159,131,108,83,76,202,212,208,207,207,206,205,203,181,184,187,194,188,206,230,210,181,161,134,120,188,191,162,137,108,93,57,140,220,207,208,208,208,207,205,203,182,184,187,193,184,227,228,200,170,144,109,128,175,156,120,103,89,64,87,208,208,208,208,208,207,206,204,203,183,186,192,188,201,238,219,200,176,136,121,144,155,116,91,88,77,74,191,216,209,211,210,210,209,209,207,207,171,173,177,172,222,227,219,206,173,145,138,142,137,102,94,98,70,145,201,193,196,196,196,197,197,197,196,195,118,117,108,143,231,209,199,188,154,141,154,123,110,95,91,86,77,110,112,112,112,110,111,111,112,115,116,114
16,176,177,178,179,179,178,180,180,181,180,179,180,181,181,181,180,180,181,182,183,181,181,182,182,182,182,182,180,177,178,179,179,180,180,180,182,181,181,180,182,183,181,184,185,185,184,181,183,182,182,183,183,182,182,182,181,178,178,179,181,181,180,180,181,182,183,183,184,181,181,165,161,158,172,191,186,183,183,183,182,182,183,182,182,178,179,179,181,181,181,181,182,181,180,174,170,183,193,158,140,133,113,135,179,189,184,183,183,183,184,183,182,178,179,180,181,181,183,183,183,184,179,161,164,195,195,173,158,145,119,87,94,143,185,187,182,184,184,183,183,179,180,181,182,183,182,178,168,199,193,167,178,199,188,176,167,147,107,104,88,81,108,174,190,182,184,184,184,181,181,181,182,181,191,178,172,192,188,174,181,199,176,167,160,141,95,104,95,90,83,97,173,191,184,185,184,181,182,182,183,180,200,190,174,186,184,182,176,188,164,161,151,128,93,94,89,90,92,81,91,181,188,186,186,180,180,182,182,181,187,186,172,183,190,188,180,186,167,159,145,114,90,86,83,87,90,91,74,117,196,186,186,179,180,181,183,188,180,185,185,178,189,189,182,195,179,162,136,105,86,77,80,88,90,86,85,79,176,190,186,180,181,179,189,188,178,186,196,183,184,188,184,194,182,160,126,98,80,66,81,90,92,93,86,75,162,192,183,180,181,180,184,186,185,181,192,182,184,192,190,190,180,151,114,92,61,61,81,91,96,102,89,81,177,188,185,181,182,182,182,185,194,188,193,197,161,194,197,187,182,149,103,71,34,59,76,84,101,98,89,88,183,187,187,183,183,183,182,186,193,198,172,178,171,184,197,190,184,142,95,50,28,52,66,80,110,93,84,97,186,187,187,182,181,183,182,183,182,201,164,143,184,182,189,194,181,136,88,51,30,38,56,89,118,92,80,115,192,187,188,180,181,182,182,183,175,177,200,183,167,179,191,199,177,134,83,61,50,39,60,114,121,94,80,119,193,187,188,184,185,186,187,187,186,167,178,189,175,179,193,201,174,129,82,71,76,64,79,138,138,107,76,116,193,188,188,145,149,152,155,158,163,158,158,180,163,159,181,200,171,121,81,79,82,69,93,154,159,133,79,118,196,185,188,96,98,97,97,99,101,101,103,131,111,101,163,201,171,113,80,85,88,79,104,153,167,154,103,97,164,199,211,103,103,102,100,100,101,100,99,98,103,87,156,203,174,105,106,97,90,86,110,148,166,169,139,114,189,207,219,101,103,102,101,102,103,103,104,104,107,92,143,205,175,101,152,121,104,95,95,137,158,168,154,120,182,206,211,101,101,101,103,102,103,103,102,104,106,96,121,198,174,106,173,142,118,111,91,103,148,153,141,91,154,207,187,101,101,100,102,103,103,102,103,105,107,100,111,209,168,114,191,162,136,125,109,84,103,133,111,115,169,162,184,101,101,100,101,102,102,102,102,104,105,102,107,211,136,141,203,174,151,138,120,97,82,92,78,160,196,139,164,100,101,100,101,101,101,102,104,104,104,103,105,131,134,195,198,180,160,146,129,104,87,89,71,165,216,179,149,100,102,101,102,101,100,102,104,103,103,102,104,89,159,205,198,187,165,151,136,111,87,90,74,161,218,197,184,100,101,101,103,102,99,100,102,102,102,103,104,95,148,197,195,190,171,154,140,118,91,88,73,146,220,193,173,99,99,101,105,102,100,100,102,102,102,102,104,96,146,194,194,188,170,154,142,122,96,89,76,136,218,202,158
21,79,87,99,113,122,129,134,138,142,146,141,146,154,156,158,160,162,164,165,166,167,167,168,168,168,168,168,168,80,88,101,114,123,130,135,139,147,155,125,128,153,157,160,162,164,165,166,167,169,169,169,170,169,169,169,169,81,89,103,116,125,132,137,141,153,162,117,114,152,159,162,164,166,166,167,169,170,171,171,171,171,171,171,171,83,90,105,118,127,133,138,142,154,163,120,110,151,161,163,166,167,168,169,169,169,171,173,173,173,173,173,173,85,92,106,120,128,135,140,144,154,162,124,108,148,162,165,167,169,170,171,163,147,162,175,175,175,175,174,174,86,94,108,121,130,136,141,145,154,163,131,109,146,164,166,169,171,172,170,147,118,148,176,177,177,177,177,177,88,96,111,122,131,138,143,147,154,164,135,109,141,165,168,171,173,175,165,134,116,158,178,178,178,179,179,178,89,98,112,123,132,139,145,148,154,165,138,108,132,165,170,172,175,175,155,123,131,173,180,180,180,180,180,179,90,99,114,125,133,140,145,149,155,172,145,111,128,165,170,172,176,169,142,120,154,180,182,182,182,181,181,180,91,101,116,126,134,140,145,149,157,176,150,116,128,166,171,174,173,156,126,130,172,182,183,183,183,183,182,182,92,103,117,127,135,141,147,151,153,166,141,112,125,166,173,176,171,145,118,149,180,183,184,184,184,184,184,183,93,104,118,128,136,142,155,161,145,143,121,101,119,164,171,174,164,132,127,170,184,184,185,185,185,185,185,185,94,105,120,129,136,143,168,178,140,116,98,90,114,154,164,164,147,119,149,182,185,186,186,186,186,186,186,186,95,107,121,130,137,147,168,166,131,98,81,85,113,145,154,146,121,122,170,185,186,187,187,187,187,187,187,186,96,108,122,131,140,164,174,151,126,99,75,77,102,129,136,122,107,145,182,186,187,187,188,188,188,188,188,187,97,110,122,132,149,184,180,164,144,121,85,74,92,110,118,107,115,167,185,187,188,188,189,189,189,188,188,188,99,111,124,134,157,176,177,183,171,136,95,76,84,96,102,97,135,180,186,188,188,189,189,189,189,189,189,189,100,113,124,136,164,164,165,175,169,128,93,78,79,86,88,93,151,185,188,189,189,190,190,189,190,190,189,189,101,113,125,141,170,153,138,133,140,120,95,82,77,78,80,92,155,187,188,190,190,191,192,192,191,191,190,190,102,115,126,146,169,144,127,121,129,126,104,86,78,77,77,90,155,187,189,191,191,192,193,193,193,192,191,191,103,116,126,152,174,156,142,128,138,148,117,95,85,78,75,91,157,188,191,191,192,193,193,193,193,193,192,192,105,116,127,155,178,165,145,138,173,177,133,109,93,78,75,94,162,189,191,192,193,193,193,194,194,193,193,193,106,117,127,156,182,166,143,151,189,175,136,113,96,79,75,104,170,189,191,193,193,193,194,194,194,194,194,194,107,118,128,154,176,156,145,155,181,158,129,108,96,81,77,116,178,190,191,193,194,194,194,195,195,195,195,194,108,118,128,148,166,153,152,154,172,152,130,108,92,80,78,128,183,190,192,193,194,195,195,196,196,196,195,195,108,118,128,142,159,162,160,154,170,149,130,112,88,77,81,139,186,190,192,194,195,195,196,196,196,196,196,195,107,116,126,138,158,170,157,149,165,142,119,103,84,75,86,150,186,189,192,193,193,194,195,195,196,196,196,195,107,116,126,136,155,169,154,142,151,130,105,91,78,72,90,157,185,188,190,191,192,193,194,195,195,195,195,195
15,128,138,149,156,157,160,167,174,179,184,187,191,194,197,201,205,207,211,214,216,219,220,222,223,224,225,227,227,130,139,150,156,158,160,167,176,181,185,188,192,196,199,203,207,208,212,215,217,219,221,223,223,225,227,227,228,132,140,149,156,159,160,168,175,181,186,190,193,196,200,204,207,209,213,216,219,221,223,224,225,227,229,229,230,132,142,152,156,160,164,171,176,182,188,193,195,198,201,205,207,212,215,217,220,223,224,226,228,229,230,230,231,133,143,152,158,159,163,170,175,182,186,191,196,200,203,208,211,214,215,219,221,222,224,227,228,230,231,232,233,133,141,162,191,167,165,173,172,179,188,189,188,186,191,196,206,213,217,221,224,226,228,227,227,230,232,233,234,136,144,165,190,162,155,164,170,186,192,197,201,205,197,187,188,189,197,209,207,209,221,234,230,229,233,233,235,137,146,158,153,129,134,145,152,174,187,193,213,220,205,203,200,207,206,201,209,189,174,189,228,235,231,236,235,137,148,157,159,161,165,161,158,162,172,175,195,219,223,219,217,218,226,218,205,219,197,150,142,218,241,234,236,139,149,156,159,164,171,180,186,190,192,190,186,179,193,217,240,219,192,224,192,202,225,152,141,133,220,242,236,139,149,157,161,162,168,176,183,188,191,201,202,160,143,150,173,207,181,183,177,200,236,139,152,168,139,230,238,138,149,156,159,163,169,176,182,188,186,227,200,154,142,144,161,194,185,144,145,182,205,148,146,196,147,149,248,140,149,156,159,163,170,177,183,188,187,242,203,135,146,166,189,204,184,153,151,150,146,150,162,177,153,104,188,139,151,158,159,163,171,178,184,188,197,234,244,177,164,179,190,194,172,155,156,155,152,151,168,180,152,107,108,140,151,157,159,164,171,178,185,183,222,242,239,241,204,151,135,147,142,136,141,150,160,168,178,183,164,118,103,141,152,159,160,164,172,178,186,188,219,248,233,229,234,203,133,82,95,88,95,116,147,176,174,168,154,120,113,141,152,158,161,164,172,178,186,190,200,239,246,215,211,237,202,87,72,71,76,78,105,160,167,157,144,128,124,140,151,157,160,164,171,178,185,188,195,229,233,228,199,226,170,96,77,73,84,75,101,165,178,174,166,155,139,139,148,154,158,162,168,174,182,184,211,245,227,208,198,195,135,94,78,76,86,83,97,152,176,180,176,167,151,114,118,122,124,127,129,131,135,139,149,219,249,224,181,178,172,100,78,84,85,97,104,122,154,167,170,165,152,114,116,118,117,119,121,120,118,118,116,145,185,195,192,178,170,125,88,86,85,96,109,112,133,151,157,157,148,120,120,121,123,124,125,127,127,126,131,130,129,133,140,133,131,131,96,89,82,90,109,116,122,150,157,151,140,121,121,120,122,123,126,126,126,126,129,131,131,131,130,141,141,151,127,115,111,113,122,122,118,146,154,145,136,122,122,123,124,123,124,125,125,126,128,129,129,130,129,130,155,174,172,180,167,149,169,169,155,154,158,142,131,120,122,123,125,124,124,126,127,126,129,130,129,129,131,131,126,133,173,194,176,196,210,209,205,185,175,157,129,120,121,121,122,123,125,127,127,128,128,131,132,130,130,132,134,130,136,146,167,207,225,214,208,190,167,150,137,120,120,121,122,122,125,126,126,127,128,130,132,131,131,130,133,133,132,130,136,153,168,192,174,160,148,144,158,120,120,121,122,123,125,126,126,127,128,128,128,129,129,130,131,133,133,134,132,129,130,160,146,155,171,168,152
20,83,87,92,101,122,140,148,153,164,171,176,180,185,193,185,196,200,196,197,197,197,197,197,196,195,195,194,191,84,88,93,103,126,145,152,158,170,177,182,187,189,224,158,154,192,202,203,202,202,202,201,201,199,199,199,197,85,90,94,107,131,148,156,164,176,183,189,195,195,240,170,157,160,164,218,207,207,207,206,206,204,203,204,202,86,91,95,111,135,151,158,168,181,188,194,201,201,247,173,162,200,115,210,216,213,212,211,211,209,208,208,206,87,92,95,113,137,154,160,172,185,192,199,205,206,242,170,142,220,108,176,228,217,219,218,216,214,214,213,211,87,92,95,116,139,156,164,174,187,195,202,209,211,243,197,128,213,134,146,234,222,224,222,221,219,220,218,217,88,93,97,119,142,158,165,177,190,199,205,211,212,247,205,122,212,169,128,232,229,229,227,226,226,225,223,221,89,93,98,121,143,160,167,180,193,202,209,216,216,251,191,117,204,177,116,225,236,232,232,230,230,229,228,226,90,93,99,123,145,163,170,182,196,205,212,219,220,255,207,118,205,206,118,217,242,235,236,235,234,233,232,230,90,93,100,124,148,165,171,184,198,207,214,219,223,251,201,115,191,220,127,204,248,238,239,238,238,238,236,233,91,94,102,126,150,166,173,188,202,209,219,218,190,230,154,100,184,215,124,190,254,241,242,242,242,240,236,235,91,93,103,128,152,168,176,191,204,211,227,254,224,219,190,101,163,207,119,173,255,244,243,242,243,246,253,246,90,91,104,131,155,170,177,192,205,209,229,255,255,181,189,166,130,139,105,160,255,243,253,255,251,230,182,114,91,92,105,133,158,172,179,193,217,202,198,206,245,194,120,156,173,123,82,129,255,253,220,169,126,86,56,58,89,92,108,136,159,173,181,192,241,255,216,142,184,240,142,89,151,168,112,93,184,123,74,56,55,67,73,69,87,88,107,136,160,173,181,196,231,233,246,182,120,221,228,107,114,178,173,113,61,52,55,61,60,52,71,66,85,87,106,136,160,172,180,199,221,152,163,201,173,178,230,137,112,165,187,157,90,53,56,45,67,52,55,67,85,87,108,137,162,174,183,200,233,197,138,124,186,173,123,114,106,117,174,173,129,73,61,45,50,62,49,56,80,81,106,138,164,176,186,203,239,207,135,115,125,137,131,150,157,145,174,168,145,96,44,66,42,51,51,52,114,116,123,135,151,159,169,176,222,198,151,145,148,160,180,203,232,236,200,139,134,96,21,58,59,42,49,46,121,122,121,118,122,123,128,117,176,237,198,154,152,185,207,241,255,237,193,135,114,84,15,38,65,53,49,41,122,124,127,129,129,129,133,127,152,244,212,174,155,195,207,249,255,231,187,136,110,82,23,22,55,56,54,45,124,126,127,129,129,131,134,132,137,236,232,204,156,201,205,242,247,211,175,138,110,82,39,14,42,57,55,51,125,125,125,126,127,129,132,135,127,213,240,217,163,201,202,218,238,211,170,136,110,72,52,17,25,55,53,50,123,123,125,126,127,128,130,133,126,172,236,219,178,205,183,190,219,221,171,130,109,56,57,31,12,46,53,44,123,124,125,125,127,128,129,132,133,132,210,232,197,206,177,164,204,210,161,119,101,44,55,47,13,25,54,39,123,124,125,125,126,128,129,130,133,128,155,228,209,197,177,145,171,183,146,121,80,12,50,57,31,12,42,49,122,123,125,125,126,127,128,128,130,133,127,206,220,192,169,148,143,162,145,126,46,8,34,60,43,19,23,47
19,144,149,153,157,160,163,165,167,167,169,169,169,170,169,169,170,170,169,168,167,167,166,165,162,170,175,143,195,148,153,158,161,163,166,169,171,173,172,173,173,173,175,173,173,173,172,171,172,171,170,169,164,181,136,133,199,153,157,161,165,168,171,173,176,177,178,178,178,179,172,181,178,177,176,176,176,175,174,174,171,172,176,191,196,156,161,165,169,172,175,178,179,180,182,180,193,190,130,132,186,180,180,179,179,178,177,176,176,172,181,175,147,160,165,169,173,176,179,182,183,185,187,182,208,187,124,86,172,188,183,183,182,182,182,180,178,176,177,161,150,166,170,174,177,181,185,186,187,189,192,188,211,187,138,81,144,198,186,186,185,185,185,183,182,180,179,175,178,168,173,178,181,185,188,190,191,192,195,191,213,194,149,85,117,203,188,189,189,188,188,186,185,183,182,178,182,172,175,180,185,189,191,193,195,197,200,196,215,191,140,75,90,207,198,197,195,193,193,190,188,186,185,182,186,175,179,185,189,191,195,197,199,200,204,201,216,186,140,110,131,173,168,180,184,186,187,192,196,195,192,187,188,177,182,188,191,194,199,202,205,204,202,197,204,193,186,191,193,159,128,151,166,150,140,147,149,169,180,188,194,180,185,189,193,197,200,195,175,177,194,196,204,199,203,199,179,161,142,155,175,159,154,152,134,166,166,149,192,182,186,192,196,197,216,196,170,180,185,184,186,183,176,171,158,142,111,111,132,142,145,147,133,143,153,122,175,184,188,193,199,201,224,197,183,177,162,165,171,168,164,165,161,151,95,136,152,150,144,135,131,135,158,62,154,187,191,195,198,208,199,149,137,149,160,177,180,170,170,168,166,160,116,179,229,216,212,209,204,215,175,44,99,188,192,198,200,220,180,149,144,147,157,163,160,164,167,164,163,145,94,167,221,210,211,209,209,220,101,56,54,189,193,198,203,211,163,163,164,160,148,119,128,148,136,122,129,111,85,204,215,217,224,222,214,169,65,60,61,191,194,200,204,213,201,180,154,144,152,157,153,149,142,135,129,116,104,223,229,208,172,125,80,56,58,60,61,191,196,202,204,218,229,200,152,126,147,156,155,154,152,144,134,131,103,161,136,58,42,50,43,45,54,55,58,191,197,200,207,218,228,201,155,140,133,122,125,133,131,122,115,109,94,44,26,40,32,39,36,53,51,49,54,193,200,201,208,217,216,211,165,145,124,104,108,124,125,115,108,93,70,46,44,47,40,33,29,43,45,41,49,194,200,202,213,221,224,223,181,141,115,133,143,139,134,122,115,92,36,34,50,39,37,38,37,30,35,36,42,194,200,200,213,224,224,227,191,139,111,125,132,128,118,104,97,89,35,22,40,42,38,28,30,37,36,35,36,193,199,199,207,224,220,207,165,135,125,124,133,131,112,98,104,80,37,28,28,39,41,32,17,28,31,43,42,193,199,201,207,221,212,196,160,137,134,125,127,110,90,100,104,34,30,36,26,27,41,40,22,20,23,36,39,192,199,199,206,215,210,186,156,133,135,129,109,77,67,79,65,13,17,29,26,26,30,43,32,16,22,20,17,196,202,199,205,209,202,163,134,138,166,130,75,67,35,0,27,35,13,20,27,26,27,31,40,21,18,20,16,184,189,189,208,203,190,161,139,156,159,117,72,64,25,0,7,36,29,17,27,21,22,24,30,31,11,17,15,112,107,171,215,200,189,167,162,169,148,110,80,50,40,0,0,21,36,25,23,20,13,21,21,29,18,10,16
24,154,157,158,159,160,161,162,162,162,163,163,164,164,164,164,163,163,163,163,162,162,160,159,158,88,2,0,0,158,160,161,162,163,164,165,166,165,165,167,167,166,166,166,166,166,166,166,166,165,164,163,163,80,0,0,0,161,161,164,165,166,167,168,168,168,168,170,169,169,170,169,169,169,169,169,169,168,167,164,171,110,0,6,16,161,164,166,167,168,169,170,171,171,172,172,173,172,173,172,173,174,173,173,172,171,169,167,169,159,24,5,8,164,166,167,170,170,171,173,173,174,175,174,175,175,175,175,176,176,175,174,173,173,173,171,166,175,87,0,0,167,169,170,171,173,173,175,176,175,176,175,176,176,176,177,177,177,178,177,176,176,175,175,172,177,144,5,0,168,171,172,173,173,175,176,176,177,178,178,177,178,179,179,179,181,181,179,179,179,175,176,176,172,180,33,0,169,172,174,174,180,179,176,178,180,181,180,180,181,182,182,181,182,183,181,181,182,179,178,177,175,184,112,88,170,173,175,178,148,174,182,181,181,181,181,182,182,182,183,183,182,183,183,183,182,182,181,180,177,185,119,141,173,174,176,182,112,125,191,179,183,182,183,182,182,184,185,183,185,185,184,183,184,184,182,181,180,185,131,168,174,176,178,179,129,72,179,183,183,183,183,183,184,185,184,185,186,186,187,190,185,185,183,183,182,182,168,141,175,177,180,183,158,70,123,196,182,185,185,185,186,189,187,187,191,196,170,163,190,185,185,185,184,183,189,136,176,178,181,183,173,122,70,175,191,185,187,189,185,175,186,193,154,191,174,92,144,197,186,185,182,172,151,136,177,181,182,182,184,161,89,94,191,188,185,190,194,141,149,201,111,107,190,104,100,198,187,184,185,156,99,75,177,180,182,181,185,175,141,101,125,194,185,192,210,176,132,161,141,88,185,124,105,197,186,189,193,123,70,90,175,179,180,180,182,182,163,134,107,145,189,189,206,210,148,110,173,98,159,141,112,199,179,199,168,71,127,192,176,178,181,181,182,184,178,153,137,154,160,172,163,211,171,95,143,121,146,162,93,149,161,191,116,87,191,181,177,179,182,183,183,184,186,181,182,179,147,135,121,165,186,109,84,130,141,177,80,84,168,157,83,159,190,181,175,178,181,181,182,183,185,188,202,166,136,113,86,98,175,123,56,145,130,191,105,116,165,109,103,195,183,184,183,186,190,190,191,191,194,192,200,199,166,116,94,105,136,143,66,142,143,106,130,153,146,72,134,195,183,185,121,127,129,134,139,144,149,152,156,205,207,178,114,96,125,147,97,106,167,102,197,152,120,82,189,200,192,187,58,59,59,62,62,60,64,65,53,179,219,209,182,107,112,162,151,130,170,190,177,122,104,76,109,105,118,146,71,69,71,72,70,70,70,74,57,131,225,195,206,152,111,125,203,219,223,201,148,110,85,69,97,136,165,189,71,67,68,67,69,71,70,71,69,81,196,192,208,186,135,112,149,216,208,171,137,91,79,182,205,199,194,199,68,67,67,66,67,69,69,70,74,64,125,209,213,196,149,122,124,191,190,154,128,70,112,176,167,188,185,184,66,68,70,66,68,68,68,70,72,70,69,188,194,168,128,108,118,153,162,132,93,65,168,166,136,155,172,173,65,65,67,68,69,70,68,69,70,73,58,148,186,135,128,121,121,139,146,116,70,80,159,182,123,110,144,169,66,66,66,66,69,72,67,66,68,72,60,121,194,161,161,146,133,139,143,105,58,90,152,176,137,96,136,156
11,181,183,185,187,188,189,190,192,192,193,193,192,193,194,195,196,195,194,194,194,193,192,192,192,190,188,187,187,182,185,187,187,189,191,192,193,194,194,195,196,200,189,197,198,197,196,196,196,194,194,194,193,193,192,189,189,185,187,189,191,191,192,194,195,196,197,197,202,212,153,195,200,198,197,198,198,198,197,196,195,195,194,192,191,187,188,191,193,193,194,196,198,199,199,199,216,208,137,192,199,199,199,200,200,200,199,199,198,197,195,194,193,188,190,193,194,195,196,198,199,200,201,201,236,194,135,196,200,201,201,201,201,201,201,200,199,198,197,196,194,191,193,194,196,196,198,199,201,202,201,215,241,167,147,201,201,202,203,203,202,202,202,202,201,200,198,199,197,192,194,195,197,199,200,200,202,203,202,237,233,149,175,204,204,204,205,206,204,203,203,203,203,202,200,199,198,195,196,198,200,201,201,202,204,203,215,249,211,137,193,206,207,207,207,207,206,205,206,206,204,203,202,201,200,195,198,199,201,202,203,205,206,208,242,242,177,139,206,209,208,208,208,208,208,207,207,207,205,205,203,202,202,196,198,200,202,204,205,206,206,225,253,229,141,164,210,210,209,209,210,210,210,209,209,208,207,207,206,204,203,200,201,202,204,205,207,208,208,240,253,216,129,195,210,210,210,209,210,211,211,211,210,209,208,207,207,206,205,201,202,204,206,207,209,210,215,251,253,204,172,218,190,208,212,211,212,212,213,213,212,210,210,209,208,208,206,201,203,205,206,209,209,209,232,254,254,247,236,206,146,189,213,213,213,214,214,215,213,212,211,210,209,209,208,202,204,207,208,209,212,223,249,254,254,247,203,146,133,172,214,214,215,216,215,214,214,213,213,213,211,210,208,203,205,208,212,232,245,252,254,253,240,219,180,129,128,153,215,215,216,216,217,217,216,214,214,214,214,211,209,204,207,208,233,253,253,254,254,251,212,146,148,127,132,138,213,217,218,218,218,217,217,215,215,215,214,213,211,205,208,213,249,251,250,254,253,239,191,138,128,128,131,134,210,219,218,219,218,218,218,218,217,216,215,214,214,207,208,227,253,253,253,248,228,193,197,155,126,125,129,136,211,219,220,221,220,218,219,218,218,217,216,216,215,209,209,242,254,252,236,203,168,143,204,175,133,121,128,149,216,221,221,222,221,220,221,220,219,219,217,216,215,210,217,252,253,237,191,145,110,97,201,183,132,126,175,208,222,224,222,222,219,218,220,220,221,219,217,217,217,210,233,254,247,219,175,135,101,145,196,140,111,137,203,218,214,203,181,161,151,152,167,206,221,221,220,220,219,212,248,254,241,200,154,118,96,130,141,92,91,91,108,132,136,139,138,134,138,134,126,133,198,222,221,221,220,226,254,251,223,171,128,103,92,93,96,92,95,99,99,112,131,143,152,148,149,142,129,121,148,221,219,220,219,247,254,244,202,158,123,97,90,91,96,102,108,114,118,133,146,153,153,154,160,179,183,166,181,222,220,220,216,254,253,233,187,148,116,91,92,101,114,124,127,130,132,147,149,168,198,217,223,224,225,225,222,223,222,222,179,255,250,217,173,140,111,92,109,124,136,142,142,138,135,150,191,224,227,228,228,227,227,226,227,226,213,174,124,254,239,200,162,132,110,101,128,141,143,143,147,135,172,215,226,228,228,229,228,227,228,227,227,198,142,114,102,249,224,182,151,130,111,106,131,139,141,141,137,167,225,228,229,229,229,229,230,230,230,228,199,135,117,105,96
16,160,161,161,165,170,173,177,179,182,185,186,188,191,193,193,194,195,197,199,198,198,199,199,199,199,197,198,199,160,162,163,164,170,174,178,180,183,185,186,189,191,193,196,198,200,200,203,204,204,202,199,199,201,200,199,199,160,162,162,164,170,176,179,181,184,186,188,192,193,191,183,175,168,164,164,169,179,195,207,203,200,201,200,200,161,163,163,166,171,176,179,183,185,184,181,176,165,155,143,131,120,117,116,107,97,103,143,183,207,200,202,202,161,161,162,166,172,175,179,177,186,158,155,146,141,143,137,127,119,107,104,106,93,74,72,80,140,207,203,202,161,161,164,169,172,179,191,193,203,166,157,141,134,139,133,124,118,111,98,101,103,84,79,77,66,144,212,201,162,163,164,170,169,185,209,205,203,177,159,137,125,127,127,125,115,116,103,98,96,85,84,81,84,71,179,210,161,162,165,170,170,179,199,208,204,173,154,123,116,116,115,121,116,111,110,101,96,90,85,80,86,71,106,217,162,163,165,170,170,186,198,214,203,170,136,112,99,105,107,113,114,109,115,111,93,91,93,84,75,87,66,177,161,163,165,170,169,186,202,215,195,161,113,97,77,91,109,118,123,118,121,118,97,89,98,80,78,89,71,105,161,163,166,170,174,179,204,215,185,139,99,95,62,45,110,122,139,136,137,125,101,94,101,80,81,88,87,62,163,163,165,170,175,174,205,210,170,125,90,80,44,14,81,116,137,162,161,138,101,96,103,82,81,88,92,78,163,163,165,169,175,176,200,199,153,118,84,70,62,41,68,96,142,173,162,138,101,98,93,82,82,84,89,89,162,163,166,170,174,177,191,179,136,110,74,79,78,75,80,69,162,167,143,130,107,98,84,84,85,86,88,91,159,161,163,168,171,176,185,167,120,87,65,86,83,76,67,87,175,151,138,126,106,86,85,84,84,88,89,92,158,161,163,168,172,178,195,160,100,86,55,73,78,98,138,169,165,136,134,115,87,76,84,87,85,88,88,89,161,162,165,170,172,180,195,153,94,118,104,123,167,199,198,175,141,131,122,96,73,79,84,89,90,90,88,87,160,162,164,170,172,181,202,149,83,168,199,199,202,200,186,164,124,113,104,97,78,80,84,87,92,91,90,90,160,161,165,170,172,182,197,135,88,186,195,195,197,199,189,149,116,88,116,119,86,85,85,88,92,91,93,92,158,161,165,169,170,182,191,109,106,198,193,195,197,199,191,147,102,94,165,138,104,93,87,89,91,91,93,93,158,162,165,168,170,182,181,90,128,199,191,194,197,199,195,157,77,133,201,151,123,101,92,88,91,93,94,96,155,158,162,169,166,193,172,79,157,196,192,194,198,201,192,168,85,155,215,161,139,115,100,92,91,91,92,94,155,159,163,165,159,209,141,87,175,183,185,188,188,191,183,165,109,136,209,165,150,128,112,100,95,94,94,97,113,112,115,117,112,144,105,92,116,116,117,121,122,123,123,123,111,106,121,122,157,139,123,111,105,99,96,98,104,102,103,105,103,103,103,102,102,105,103,103,105,103,103,105,103,101,98,97,143,150,133,120,111,105,100,98,108,109,109,110,111,111,110,108,111,113,114,112,111,112,111,111,111,109,111,101,127,161,141,127,118,112,107,104,108,108,108,109,111,109,107,110,110,110,111,110,109,110,110,108,114,119,117,112,115,162,151,135,126,121,113,109,109,110,109,109,110,109,108,110,110,110,110,109,108,110,109,108,110,109,110,111,107,159,161,147,137,129,117,110
1,64,67,71,76,88,106,120,126,130,135,141,146,150,153,159,161,162,165,166,166,168,170,171,171,172,173,173,173,65,68,73,78,91,108,122,129,132,139,144,148,153,167,146,162,165,165,166,167,168,170,171,171,171,172,172,172,66,70,74,79,94,112,126,132,136,144,148,151,165,191,112,139,154,167,168,168,169,170,171,171,171,171,172,171,67,71,76,80,96,115,129,135,141,147,158,155,159,197,109,117,122,147,175,173,173,172,173,173,172,173,172,172,68,72,77,82,99,119,133,138,145,151,188,164,126,196,109,117,135,112,180,179,178,178,178,176,175,176,175,174,70,74,78,83,102,122,136,141,149,155,195,169,116,183,107,113,144,94,174,184,183,183,183,182,180,180,179,178,71,74,79,86,107,125,138,143,152,158,199,170,105,177,123,115,150,96,167,192,188,188,188,187,186,185,184,183,72,75,80,89,110,129,141,147,157,166,190,172,98,152,121,117,164,105,158,198,194,195,194,192,191,189,188,187,72,76,80,91,114,133,144,149,171,174,165,171,96,131,120,104,160,106,154,204,199,199,199,198,196,194,193,192,74,78,81,94,118,136,147,149,196,165,154,168,97,146,131,102,181,124,151,209,203,203,203,202,201,200,200,199,74,79,82,96,121,140,149,153,204,147,147,181,105,138,130,103,190,139,146,213,208,208,208,206,205,205,204,202,77,80,82,99,125,143,152,159,207,140,131,181,101,106,117,107,183,141,137,217,211,211,210,210,209,209,207,206,79,82,85,102,127,146,155,165,213,144,104,172,106,104,117,139,165,130,128,220,215,215,215,214,213,211,211,210,79,82,85,106,131,149,158,170,220,153,86,187,177,143,143,158,142,103,116,220,218,218,218,216,215,214,215,214,78,81,85,109,134,152,160,173,216,148,122,157,150,135,139,132,126,124,103,210,223,221,221,220,219,218,217,217,79,81,87,111,136,155,162,179,221,173,155,122,117,133,139,117,138,160,132,161,228,223,224,224,223,223,222,221,79,81,88,114,139,158,164,190,229,180,143,111,123,119,149,160,183,195,178,124,185,230,225,226,224,224,225,225,79,82,90,118,142,161,166,201,232,175,129,109,124,136,181,221,196,198,196,127,109,221,229,229,227,228,228,227,79,82,91,121,146,164,168,205,234,174,123,116,133,151,202,228,232,204,161,103,95,206,235,231,230,230,233,236,80,82,94,125,149,167,171,203,239,183,124,121,141,168,209,226,228,196,142,98,99,219,234,234,239,233,201,149,80,82,96,127,152,169,173,199,237,195,139,120,150,178,217,231,220,184,136,96,113,236,239,228,170,108,65,47,80,82,98,130,155,171,176,197,234,212,160,125,154,177,222,231,205,171,129,93,136,249,215,108,49,42,46,42,78,80,100,132,156,172,177,193,224,215,174,136,151,178,222,223,197,161,121,86,167,203,92,56,52,30,47,47,77,79,100,133,158,172,177,190,210,213,183,150,154,175,216,212,187,150,114,87,123,73,37,46,64,30,29,54,76,78,102,136,161,175,180,192,202,210,191,164,163,159,205,197,176,136,106,83,74,56,49,27,53,48,18,38,72,75,101,136,163,177,182,194,203,206,192,169,164,149,182,180,159,122,98,75,79,62,48,26,30,56,24,21,89,90,109,138,161,174,181,192,203,203,193,175,166,150,153,169,145,112,86,69,79,64,41,31,19,42,41,13,120,121,120,119,124,130,135,138,142,155,201,181,169,152,138,154,136,104,74,64,75,53,51,28,18,28,49,16
21,196,197,199,203,204,205,205,206,207,209,209,208,209,208,208,209,209,209,208,208,208,207,207,206,205,205,203,203,198,199,201,203,204,206,208,208,209,209,208,209,209,209,211,211,210,209,209,209,209,209,208,207,207,205,205,204,199,201,202,204,206,207,209,209,210,208,233,211,192,213,213,213,213,212,211,211,211,210,210,209,208,208,207,206,201,203,204,206,208,208,210,210,212,210,242,229,175,204,216,213,214,214,214,214,213,212,212,213,210,209,209,207,202,204,206,208,210,211,211,213,215,210,225,246,183,184,219,214,215,216,215,215,214,214,215,205,212,211,211,208,204,205,207,209,211,213,213,214,215,214,215,247,221,184,211,216,217,217,217,218,214,225,218,166,208,214,213,212,205,206,208,211,213,214,214,215,216,217,212,242,247,192,194,222,218,218,218,219,214,237,207,159,212,215,214,214,206,208,210,213,215,216,216,217,218,219,216,233,253,200,180,220,220,219,220,217,225,241,190,174,221,215,215,215,207,208,212,214,215,217,217,218,219,219,219,223,254,216,178,213,222,220,221,218,240,234,178,195,224,217,217,216,209,210,213,214,216,218,218,219,220,221,220,235,242,229,175,201,227,222,220,226,239,213,165,212,221,218,219,217,209,212,214,216,218,219,220,219,220,217,230,255,240,227,181,163,223,224,221,240,236,187,175,226,219,220,220,218,211,213,215,217,219,220,220,222,221,235,236,238,247,225,204,178,196,227,229,243,229,171,206,227,221,221,221,219,212,214,216,219,220,220,222,223,225,255,238,219,252,240,233,230,187,188,220,225,199,171,227,223,223,222,221,219,214,216,218,220,220,222,224,222,233,236,239,228,193,195,243,236,193,154,183,194,164,194,231,224,225,224,222,221,215,218,220,220,223,224,226,222,237,239,195,179,147,139,201,243,206,162,158,168,155,219,228,225,225,225,223,223,215,219,220,221,224,226,227,223,241,230,195,196,171,157,167,247,230,180,148,150,164,231,227,227,225,225,224,223,217,219,221,223,225,226,227,224,246,249,229,203,174,178,170,235,249,197,154,138,180,235,228,229,227,227,226,225,218,220,222,224,226,227,228,226,254,251,209,187,176,193,193,245,255,214,170,136,185,236,228,229,228,228,227,226,219,221,223,224,226,228,230,229,255,239,205,194,199,205,218,255,252,219,182,144,185,238,229,230,229,229,228,228,220,222,224,225,227,229,230,230,255,249,221,212,211,214,241,255,246,216,185,143,186,239,229,231,231,230,229,229,219,222,225,225,227,228,230,229,255,253,230,212,221,227,252,255,246,210,188,147,186,241,231,233,232,231,231,230,219,223,225,225,227,228,231,228,254,255,237,216,222,236,255,255,246,210,185,147,193,240,231,232,231,231,230,230,221,223,225,226,228,230,231,229,251,255,238,229,224,244,255,253,239,207,181,145,198,241,231,232,233,231,230,229,221,224,225,227,229,231,233,231,248,255,243,244,235,247,255,251,232,207,176,143,196,243,233,234,234,234,232,231,222,223,225,229,230,231,233,232,240,255,251,250,245,241,255,237,225,202,169,139,197,245,233,236,234,233,235,229,221,224,226,229,231,233,235,235,234,255,255,252,242,233,242,223,213,200,164,137,204,244,235,237,238,241,234,177,224,226,229,232,233,235,236,237,235,252,255,249,228,215,225,216,209,203,158,137,225,242,237,239,235,200,161,138,208,212,215,217,220,221,224,229,217,225,255,238,213,196,209,219,204,196,142,151,243,237,239,233,177,143,139,134
6,201,202,201,201,201,201,201,201,202,200,200,200,199,199,198,199,197,197,197,195,194,194,194,193,192,192,190,189,202,203,203,203,203,203,202,203,203,201,201,201,200,200,200,199,198,199,197,197,195,195,195,194,193,192,191,190,204,204,205,204,204,204,204,204,203,203,202,203,202,201,201,200,199,199,198,198,197,196,196,195,194,193,193,191,205,206,206,206,205,205,205,205,204,205,204,203,203,202,201,201,201,200,199,198,198,197,196,195,194,193,193,191,206,207,207,206,207,207,206,206,205,205,205,205,205,203,203,203,202,201,200,199,198,198,197,196,195,194,194,193,206,208,209,208,209,209,208,208,207,206,205,205,206,204,204,204,203,202,201,200,200,199,198,197,196,195,194,194,207,209,210,210,211,210,209,209,209,207,206,205,206,205,205,205,204,203,202,202,202,200,200,200,198,196,194,194,209,210,211,211,211,211,210,210,210,212,212,211,208,208,208,209,207,205,203,201,199,197,190,187,195,196,197,194,210,212,212,211,212,211,212,211,206,198,194,198,198,190,182,179,173,182,183,182,175,176,159,170,206,184,186,197,212,212,213,214,213,213,206,194,186,172,162,157,158,179,171,161,153,161,179,181,172,171,165,165,190,158,183,200,212,214,217,215,206,196,177,173,179,177,177,159,117,146,165,163,138,153,155,152,145,130,132,139,152,176,199,197,215,213,204,193,183,178,173,169,173,179,174,136,107,96,110,112,113,127,135,147,151,167,178,187,197,203,200,198,202,193,184,179,174,170,168,161,166,172,163,132,103,96,100,125,152,182,202,206,209,211,210,207,205,201,200,199,195,191,184,176,171,172,170,167,166,169,171,156,115,87,151,216,213,216,211,209,207,206,206,205,204,203,201,200,203,191,184,177,173,172,172,167,167,169,172,154,115,94,112,214,212,211,210,209,208,208,209,206,205,204,203,202,193,186,184,178,173,172,171,172,169,170,168,158,117,101,88,179,220,211,212,211,210,209,208,207,205,205,204,202,186,184,182,176,175,173,173,173,175,177,175,166,126,100,89,137,223,211,213,212,211,210,209,208,206,205,204,203,194,176,174,177,182,178,174,168,164,165,167,152,122,101,95,99,213,216,213,212,211,211,210,209,207,205,205,204,188,171,172,181,183,183,172,168,162,160,154,136,120,107,91,127,219,215,214,213,213,212,211,210,209,207,205,206,169,162,174,179,177,174,168,160,154,160,151,126,121,114,90,197,222,214,214,214,214,214,212,210,209,209,206,205,135,149,161,173,167,160,152,144,137,136,125,117,117,120,93,201,220,215,215,214,213,212,212,211,209,207,207,205,88,109,130,154,151,140,133,127,121,104,91,105,123,123,86,188,223,214,215,214,213,212,211,210,208,207,206,204,84,68,73,96,115,118,106,102,103,96,95,115,120,109,103,205,219,216,216,214,214,212,211,210,209,207,206,205,87,76,57,62,62,79,124,148,130,106,104,122,133,177,205,219,216,217,215,215,214,214,212,211,211,209,206,206,84,82,59,64,52,153,234,227,220,192,176,186,213,225,222,218,217,217,215,215,214,214,212,211,211,209,207,205,82,84,62,53,80,223,224,221,224,227,228,226,222,218,219,219,218,217,216,215,214,213,212,212,212,215,217,215,86,80,59,52,168,233,220,222,223,222,220,220,221,221,220,219,218,217,217,219,220,220,216,212,206,181,157,159,87,68,52,109,235,221,223,222,223,222,222,222,220,220,220,219,218,219,217,197,169,157,143,126,109,86,72,71
6,115,116,116,117,119,119,121,122,122,122,122,121,121,122,121,120,121,121,122,121,122,121,120,120,117,116,116,118,122,122,122,123,124,123,123,123,124,124,124,124,124,124,124,124,126,125,124,124,125,124,122,121,121,119,121,119,125,126,126,126,126,127,127,127,128,129,129,129,129,129,128,130,130,129,128,128,128,129,126,124,126,125,125,115,128,129,129,131,130,131,131,130,131,133,132,132,131,132,132,133,133,131,131,131,130,131,128,128,131,128,131,101,132,132,133,132,133,134,134,134,136,136,135,135,140,136,134,135,135,134,137,136,135,132,138,133,132,131,132,122,137,135,137,137,137,138,138,138,139,140,143,124,109,141,140,141,138,138,132,135,124,136,182,132,127,136,134,129,140,140,141,141,140,142,143,144,143,140,160,108,26,115,131,127,139,139,122,129,131,117,142,96,129,139,136,137,141,143,145,145,143,146,148,148,148,150,165,110,113,136,128,119,138,132,120,100,88,66,63,111,142,139,140,139,145,147,148,148,149,150,153,152,147,148,151,157,164,147,117,107,77,63,50,45,59,100,140,149,143,144,143,140,149,150,151,152,151,153,146,139,142,148,155,153,129,102,77,47,46,67,97,133,152,157,152,146,146,145,144,142,151,152,154,154,156,153,136,132,133,134,118,81,47,30,45,113,148,155,160,156,152,153,152,150,148,148,147,145,155,155,155,154,164,164,157,156,110,71,73,57,31,46,129,161,165,162,155,157,156,156,156,153,152,151,149,149,158,158,158,156,171,173,184,142,71,60,61,79,89,88,76,76,100,137,165,159,159,158,159,157,156,154,153,151,160,160,159,163,179,179,190,124,87,103,71,63,81,93,79,74,67,39,136,169,160,161,162,160,158,156,155,155,161,162,161,175,189,186,186,174,177,154,85,51,66,76,63,56,63,22,114,178,163,164,163,162,159,158,158,157,164,164,165,182,192,185,185,188,192,163,93,46,63,75,77,65,53,29,107,179,164,165,165,166,162,161,161,160,166,167,169,180,187,186,185,184,179,170,140,98,59,41,67,73,68,46,40,172,168,166,166,166,167,166,165,164,168,168,166,186,183,189,184,184,182,185,188,148,73,36,59,67,60,35,57,179,170,169,167,168,169,168,167,166,169,167,168,186,190,192,189,189,184,185,190,140,76,52,53,58,52,34,46,162,176,171,170,171,171,169,168,168,173,165,177,188,191,194,198,189,181,186,168,112,68,60,54,54,50,47,12,130,185,172,172,171,171,169,169,170,175,156,178,189,190,196,192,177,176,168,134,94,72,63,40,50,51,40,51,169,179,175,175,174,173,172,172,171,170,153,181,189,191,193,174,166,166,143,111,84,88,94,43,21,23,31,155,184,175,177,177,176,175,175,172,172,159,164,190,185,183,175,158,156,156,136,110,101,96,100,16,0,28,142,189,177,180,178,178,176,176,175,174,174,152,172,187,180,174,165,153,150,145,134,122,109,78,46,88,125,174,190,184,182,179,180,180,177,177,178,176,175,150,176,183,167,162,153,158,158,138,122,116,86,36,84,203,190,186,184,185,184,183,182,182,181,180,178,178,176,159,175,174,164,159,143,150,149,128,114,94,61,29,163,190,185,185,183,184,184,184,184,182,182,181,180,179,177,164,170,162,159,151,133,136,129,115,96,68,33,94,198,185,188,187,186,185,186,184,184,185,184,183,183,180,179,164,166,168,160,143,132,125,116,90,64,40,44,176,190,185,188,188,187,186,187,187,185,186,185,184,184,183,181
18,166,168,169,171,173,175,175,175,177,177,177,178,178,176,176,176,175,175,174,173,174,173,172,172,170,170,169,168,168,170,171,173,174,176,177,177,179,179,180,181,181,179,178,178,177,176,175,176,177,175,174,172,173,172,171,171,172,172,174,175,177,178,179,179,179,180,180,181,180,180,180,179,179,179,178,177,177,176,177,175,175,174,173,172,172,174,176,178,179,179,181,180,181,181,181,181,181,181,181,181,180,181,180,179,178,179,180,176,176,174,174,173,173,174,177,178,180,181,181,181,181,182,182,183,183,183,183,183,182,182,182,180,180,177,172,178,177,177,175,175,174,175,178,180,181,181,183,182,183,184,184,184,185,185,185,185,184,182,182,180,199,162,127,183,179,178,178,176,177,179,179,181,181,182,185,185,185,186,186,186,186,186,185,185,186,186,183,185,216,162,87,172,182,180,178,178,178,180,181,182,183,185,187,188,187,188,187,188,188,187,191,173,144,164,155,150,217,182,97,127,188,181,181,180,179,180,182,184,185,187,188,189,189,190,189,189,189,190,204,188,143,116,126,145,216,196,127,77,159,186,181,181,180,182,184,187,187,188,188,190,191,192,192,191,194,178,142,165,173,132,99,125,192,192,145,108,97,165,186,182,181,183,185,187,188,189,190,192,193,192,192,203,200,175,136,90,152,144,101,79,114,168,157,128,101,95,187,184,182,185,186,189,189,191,192,193,194,192,211,218,217,182,149,105,102,143,98,63,60,124,175,135,111,74,179,187,184,186,187,189,191,193,193,194,194,198,219,200,223,187,157,115,71,97,82,59,47,143,184,156,117,80,181,187,186,187,189,191,194,194,194,196,194,220,218,179,203,175,162,114,70,72,73,58,46,124,184,169,120,77,178,189,187,188,190,192,194,194,196,195,210,219,202,181,192,146,126,95,69,86,66,48,49,125,176,172,124,76,179,190,188,190,192,193,194,196,195,200,228,208,174,146,173,108,91,79,80,106,68,84,106,139,175,159,115,73,178,193,189,191,192,193,195,197,197,203,235,220,191,146,127,117,108,45,83,117,145,169,172,138,143,135,111,69,168,193,189,192,193,196,198,200,198,211,235,223,203,156,115,124,98,28,133,196,199,179,162,146,106,118,111,70,157,196,191,193,194,197,199,202,198,223,234,220,185,150,134,121,91,107,213,210,196,173,142,138,110,101,103,66,168,199,193,195,196,197,200,201,202,227,232,211,172,161,133,104,110,196,213,203,186,166,140,126,115,90,82,88,194,196,193,194,196,198,200,200,206,230,231,206,174,165,133,110,166,215,207,193,180,162,136,120,109,86,64,150,201,195,194,195,196,198,200,201,208,229,227,206,180,181,132,151,179,208,201,184,175,158,124,112,98,76,76,194,198,197,195,196,197,200,201,202,209,226,222,206,193,175,137,138,181,187,190,173,164,142,115,102,88,59,131,206,199,199,195,196,198,201,202,202,209,225,220,209,199,159,126,126,166,174,173,166,153,130,108,91,72,73,191,202,200,200,195,197,199,201,203,202,212,221,218,212,184,138,109,138,153,168,164,153,140,115,94,75,53,149,207,201,202,201,197,198,201,200,202,203,217,215,205,196,165,136,129,147,155,163,159,142,125,103,80,56,113,204,202,201,202,201,198,199,202,202,203,203,225,223,221,207,194,175,156,141,153,162,149,125,107,90,62,92,200,204,203,202,202,201,196,200,196,188,204,208,231,224,223,210,191,173,155,131,142,155,134,111,97,74,72,185,208,205,203,203,203,203
5,138,141,145,148,152,155,157,159,160,162,163,164,165,165,164,164,164,164,164,163,163,162,161,160,159,158,158,157,139,143,147,150,154,156,159,161,162,164,165,166,166,166,166,166,165,165,162,164,164,165,163,162,161,160,159,159,141,145,150,153,157,158,161,163,164,165,167,167,166,168,169,168,168,169,125,151,167,166,165,164,164,163,160,159,143,148,152,155,157,159,162,165,166,167,173,157,130,170,171,170,177,159,104,147,170,169,167,166,166,165,163,161,145,150,154,157,160,161,164,167,169,169,180,146,108,170,173,175,180,125,114,168,172,171,169,169,167,166,165,164,146,151,155,158,162,164,166,169,171,170,189,126,121,176,175,182,155,99,147,175,173,172,171,171,170,169,167,167,148,152,156,160,163,170,145,161,173,179,189,104,143,180,180,176,125,115,174,177,175,174,174,174,173,171,170,170,150,154,158,162,165,177,132,133,175,190,175,100,161,181,178,148,106,154,181,179,178,177,177,176,175,174,173,173,151,156,159,163,167,178,151,114,176,190,144,106,173,176,166,111,122,180,182,181,180,179,179,179,177,177,175,175,153,157,161,165,168,175,169,110,169,177,114,116,179,166,153,100,151,186,184,183,182,182,181,180,179,180,179,178,154,158,163,167,171,174,185,131,147,172,120,117,169,156,139,106,169,187,185,185,185,185,183,181,181,180,181,180,156,160,165,169,172,174,189,157,123,165,125,109,137,141,117,116,184,187,183,173,176,183,185,184,182,182,182,182,157,161,166,169,173,176,186,182,139,128,121,109,117,129,105,127,185,180,177,178,171,166,166,184,185,184,183,182,158,163,168,172,176,179,181,187,171,133,117,118,114,117,100,121,157,169,161,161,171,172,144,162,186,186,185,184,160,164,169,173,176,179,182,183,194,174,134,116,103,102,96,115,129,134,123,118,147,158,157,133,163,187,187,186,160,164,169,173,177,180,184,185,206,204,152,115,99,94,93,108,114,104,130,168,189,184,166,156,136,184,188,188,162,166,171,175,179,181,185,185,200,218,165,116,97,93,93,102,103,125,188,195,194,185,171,139,153,191,190,190,162,167,172,176,179,181,185,187,192,218,165,119,98,92,91,101,95,145,198,196,193,172,151,115,171,193,192,192,163,168,173,177,181,183,187,187,188,208,161,121,101,90,89,104,107,124,167,193,186,165,131,109,175,195,193,193,165,169,173,178,181,184,187,188,187,210,163,124,106,92,90,103,113,128,134,140,164,161,121,128,189,195,195,194,164,169,174,178,181,184,188,189,189,208,163,133,114,95,89,105,120,135,141,126,149,147,121,163,196,197,196,195,165,170,175,179,182,186,189,189,190,202,165,140,117,98,89,112,133,141,144,126,124,132,135,191,197,197,196,196,166,171,176,180,184,187,190,189,189,200,167,141,117,100,91,115,135,139,135,119,112,121,165,200,198,197,196,196,167,172,177,181,185,187,190,190,191,196,163,138,119,104,98,112,127,128,124,114,123,165,197,200,200,199,198,198,168,173,178,182,185,188,190,190,202,198,160,136,122,107,103,112,123,123,116,123,178,201,201,200,200,200,200,199,169,174,178,183,186,187,191,188,208,205,169,140,119,108,104,111,115,113,121,165,201,202,201,200,200,200,200,199,168,174,179,182,186,188,192,190,206,198,166,129,108,107,109,110,114,130,175,200,203,203,202,202,201,201,200,199,170,174,178,182,186,188,193,193,206,196,168,129,106,108,108,108,128,184,206,204,203,203,203,202,202,201,201,200
5,161,165,168,171,173,176,180,181,181,182,183,184,184,184,185,185,185,185,185,186,185,184,184,183,184,185,185,185,163,167,170,173,176,179,181,183,184,185,186,186,186,186,186,187,187,188,187,188,187,187,187,187,187,187,187,187,165,167,171,175,179,181,183,185,186,187,187,188,188,189,182,177,190,190,190,189,190,191,192,191,190,189,189,189,167,170,174,177,180,183,185,187,188,189,189,191,191,196,169,134,190,193,192,192,193,193,194,194,192,191,191,190,169,173,176,179,183,185,187,189,190,191,192,192,202,195,150,146,192,194,194,194,195,196,196,196,195,194,193,192,171,174,178,181,185,187,190,168,180,193,194,201,213,152,136,186,196,195,196,195,195,190,190,198,198,196,195,194,173,176,180,183,186,188,198,138,154,195,195,218,193,122,174,198,197,197,204,202,191,151,154,201,200,200,199,197,174,177,181,184,187,194,193,119,167,197,199,204,149,140,197,198,200,212,206,174,158,136,172,201,201,201,201,199,174,179,183,186,188,205,166,124,192,198,192,162,120,176,199,196,206,198,154,131,170,188,201,202,202,202,203,201,175,179,184,186,189,210,154,140,199,196,172,136,122,197,191,190,176,134,137,183,204,204,204,204,203,203,203,203,177,180,184,187,190,211,156,144,201,192,167,140,129,196,179,179,125,126,190,205,205,204,204,206,206,205,205,204,178,180,184,188,192,208,161,140,198,190,168,134,136,174,168,161,112,168,206,206,206,205,206,206,206,207,206,205,179,182,186,189,192,202,190,147,176,189,168,115,129,142,158,141,129,195,207,207,208,207,203,204,208,208,207,207,179,183,187,191,193,195,205,178,143,173,151,127,107,117,138,128,157,207,206,204,209,211,190,159,203,209,208,207,178,182,186,189,193,190,201,208,161,140,127,117,106,109,112,127,176,204,202,207,211,193,194,155,176,210,209,208,179,182,186,189,193,193,197,221,193,144,108,98,98,99,104,131,160,190,202,185,163,147,170,177,149,186,210,209,180,184,187,189,192,195,197,217,205,150,102,93,93,93,102,129,145,153,163,133,138,179,187,176,138,166,208,208,181,185,188,190,192,195,197,211,210,152,99,89,90,89,98,114,122,114,131,158,194,194,187,148,148,203,209,209,182,185,188,190,194,196,197,208,214,158,100,86,89,90,94,103,102,121,187,207,200,190,159,124,194,212,210,210,182,186,189,192,194,195,197,205,215,166,107,86,87,92,90,94,88,145,210,207,193,173,121,142,211,210,211,211,158,164,171,174,178,182,184,196,215,174,115,87,86,88,93,109,119,136,180,195,191,149,114,185,214,212,212,213,100,101,105,106,109,114,114,170,220,183,126,90,87,89,95,117,141,153,142,180,186,134,121,171,178,181,183,185,99,98,98,98,98,99,96,166,218,189,138,94,86,93,107,130,151,159,147,165,163,113,100,104,106,108,109,109,99,99,99,105,105,104,101,170,216,194,145,100,89,95,127,151,164,155,130,127,125,108,109,106,109,107,107,108,98,98,99,101,102,104,101,163,212,196,152,112,99,93,136,159,160,138,109,97,102,111,114,109,111,113,136,167,98,98,99,100,101,102,99,162,207,192,155,124,106,90,129,153,147,118,97,97,105,109,108,107,135,176,201,197,98,99,100,100,100,101,101,177,210,189,159,130,106,90,111,131,123,102,95,105,110,108,113,163,210,210,197,183,97,98,99,100,100,100,104,190,211,185,154,120,97,86,97,107,102,95,103,108,112,114,176,222,212,198,185,165
8,190,190,191,193,194,194,194,193,192,192,192,191,191,191,190,189,188,188,187,186,185,185,184,183,182,180,179,179,192,192,193,195,195,194,195,195,194,193,193,193,194,191,190,190,189,189,189,187,186,186,186,184,183,181,179,179,194,194,194,196,196,195,195,195,195,195,194,189,185,193,191,191,190,191,190,188,187,187,186,185,184,182,181,181,194,195,196,197,197,197,197,195,196,195,197,187,143,186,196,192,193,192,190,189,188,188,187,187,185,184,183,181,195,196,197,198,198,197,198,197,198,195,203,176,124,181,197,194,194,192,191,191,190,190,189,188,187,185,183,182,196,197,198,199,200,199,199,199,199,197,207,156,123,193,196,195,194,193,192,192,191,191,190,189,188,186,185,184,198,199,199,201,202,201,200,201,199,203,209,150,133,201,195,196,195,195,194,193,192,192,191,190,189,187,186,185,199,200,200,200,201,202,202,202,198,210,205,143,145,204,195,199,199,194,194,194,192,192,191,191,189,188,187,185,200,201,201,201,202,202,202,202,199,213,195,131,155,206,199,180,180,202,196,193,193,192,191,191,190,188,188,186,200,201,202,203,203,203,203,204,200,217,192,154,167,203,207,183,146,173,193,199,194,193,192,192,191,189,188,187,202,203,202,203,203,204,204,204,202,219,192,176,176,200,201,204,177,146,149,159,197,198,198,194,192,190,190,188,203,203,203,204,205,205,206,205,204,214,198,183,188,213,183,209,197,189,175,121,133,162,156,192,194,190,190,189,203,204,204,205,205,207,207,203,212,211,185,191,202,204,178,168,195,186,174,137,93,101,98,135,201,190,191,190,203,205,206,206,206,207,207,206,212,194,183,186,193,193,168,125,148,202,176,145,99,91,99,101,191,195,192,191,204,206,207,207,207,208,206,214,210,178,167,169,187,182,145,111,97,211,187,151,102,102,107,105,194,194,193,192,205,207,207,208,208,209,207,226,216,191,160,137,180,169,129,109,117,208,195,153,104,95,89,150,203,193,194,192,206,207,208,209,210,207,215,231,211,188,166,143,173,192,176,194,197,187,183,151,114,77,118,200,196,195,194,193,207,209,210,209,211,207,224,226,201,192,170,159,141,203,217,195,198,174,158,152,117,104,194,202,197,197,196,195,208,210,210,211,211,211,230,218,202,193,159,147,182,215,205,177,189,176,137,148,103,153,210,198,199,198,197,194,208,210,211,211,209,216,232,216,204,189,158,180,218,211,197,176,173,172,126,127,93,184,206,200,200,198,197,195,210,210,211,211,213,219,230,218,205,187,172,204,212,204,189,168,162,157,123,101,113,209,202,201,201,199,198,198,211,211,212,215,196,219,229,217,199,184,174,198,198,189,178,158,159,137,111,84,159,212,202,202,201,200,199,197,210,210,216,201,108,142,207,204,182,171,176,180,191,179,166,154,142,115,93,95,201,205,205,202,201,200,199,198,211,211,216,134,104,98,118,179,188,179,175,175,191,174,154,137,112,101,78,155,212,203,205,202,202,201,200,199,209,221,172,100,104,103,97,103,151,175,167,173,182,154,131,116,106,84,119,212,205,206,205,203,202,201,200,200,218,201,114,102,101,97,101,86,73,100,111,143,160,128,105,102,83,106,203,210,207,207,205,204,203,202,201,200,214,137,98,103,98,94,96,99,65,77,78,78,89,95,90,79,124,204,211,206,206,206,205,204,202,201,200,199,158,97,102,99,96,91,94,98,63,69,80,73,67,68,61,109,217,208,207,207,205,206,205,203,202,200,198,198
22,130,135,138,141,146,150,154,156,159,161,163,163,164,165,166,166,165,164,165,164,163,163,162,162,161,161,159,158,131,136,139,142,147,152,155,157,159,161,163,164,166,167,167,168,167,166,166,165,164,164,163,163,162,162,160,160,133,138,140,143,149,154,156,158,161,162,164,166,167,167,167,165,168,167,166,167,166,164,165,164,163,163,161,161,133,138,140,145,150,154,157,160,161,161,165,167,167,168,168,196,137,158,170,166,171,172,152,166,164,164,163,161,134,139,142,145,151,156,158,160,164,200,137,161,171,169,173,207,122,148,174,163,189,168,126,170,165,164,163,163,136,140,141,146,152,157,160,161,167,208,131,155,174,168,178,198,127,147,175,166,196,148,129,172,165,165,165,164,137,141,142,148,153,158,161,163,163,204,148,146,177,168,183,203,135,150,175,174,196,138,133,174,166,167,166,165,137,142,145,150,155,158,162,165,163,212,173,140,178,170,186,203,139,152,174,186,203,134,144,175,168,168,168,166,138,143,145,151,156,160,162,167,162,207,193,137,176,172,189,196,139,150,175,201,198,131,155,174,169,169,169,167,139,144,147,151,156,161,164,169,164,201,206,136,167,174,193,199,142,147,182,210,180,121,163,175,170,170,169,168,140,145,148,152,157,163,166,170,165,191,221,162,154,177,197,205,144,148,200,212,161,118,172,174,172,171,170,169,141,146,149,154,159,163,168,167,180,193,172,166,146,179,198,199,136,161,221,203,144,132,179,174,173,172,171,170,142,146,149,155,161,164,170,166,215,220,189,162,121,169,189,184,173,194,214,193,126,154,181,174,174,173,173,172,143,147,150,156,162,167,170,172,220,228,214,173,114,117,165,178,195,191,184,161,123,175,180,177,176,175,174,173,144,148,151,158,163,168,171,179,213,202,194,200,162,126,124,148,174,176,169,126,135,185,178,179,178,176,175,174,144,148,152,159,164,168,170,181,223,201,180,211,210,168,119,107,145,166,157,115,144,187,179,180,179,178,176,175,144,148,152,159,165,170,169,191,228,190,169,169,214,198,158,111,109,142,150,118,155,188,181,181,181,180,178,176,145,149,153,160,167,171,169,201,226,187,153,131,171,207,191,152,106,109,125,113,172,187,183,183,182,181,180,178,145,149,152,160,166,172,170,208,231,190,146,164,152,199,214,188,147,104,100,115,183,186,184,183,182,182,181,179,146,149,152,160,166,171,170,209,226,192,142,173,172,216,216,201,174,137,101,122,191,184,185,184,182,182,180,179,146,149,152,160,167,172,171,208,229,184,152,174,192,230,217,200,184,143,97,130,194,184,185,186,184,182,181,180,145,149,153,161,168,173,172,206,233,175,168,169,211,233,221,195,166,133,97,140,195,186,187,186,185,183,182,181,144,149,153,160,167,173,172,201,231,176,181,167,224,230,216,197,151,119,101,156,193,186,186,183,183,183,181,180,146,150,154,161,168,175,175,199,229,185,189,169,231,223,213,188,144,114,106,180,197,192,191,190,190,188,187,187,132,135,137,140,141,144,141,161,227,201,195,176,226,213,201,170,134,114,110,142,144,142,142,142,142,143,137,130,115,115,116,117,115,114,112,123,223,208,195,172,212,202,175,151,126,115,110,107,105,104,104,103,103,94,101,146,122,122,122,123,122,123,122,127,214,196,183,166,183,184,156,141,131,119,112,115,114,114,112,114,112,134,193,200,121,122,123,122,121,122,121,120,193,178,165,159,162,172,162,142,133,121,114,115,114,114,113,108,150,207,197,173
21,129,139,146,148,153,160,166,170,175,178,179,182,185,186,186,186,187,185,184,185,185,184,184,182,180,179,179,177,131,141,148,151,155,162,168,172,177,181,182,185,186,188,190,188,188,188,187,186,187,186,186,183,180,179,179,179,134,144,150,153,158,166,170,174,179,183,186,187,187,188,189,194,191,191,191,190,188,189,187,185,183,181,180,180,134,145,151,154,158,166,171,177,182,184,188,190,187,212,167,153,199,192,193,193,191,190,189,189,186,185,183,181,135,147,154,155,160,168,174,179,182,186,190,191,190,228,180,109,189,198,195,195,193,193,193,189,193,188,186,183,138,149,155,156,163,171,176,180,185,189,191,194,190,221,205,118,165,205,195,196,197,194,198,181,143,187,189,187,139,150,156,157,165,172,178,182,187,191,194,196,195,211,235,158,148,209,197,198,198,196,206,176,96,171,195,188,142,152,158,160,167,175,182,185,188,192,196,199,198,207,250,185,128,204,202,202,199,201,203,167,104,178,196,190,144,154,159,162,169,178,183,186,190,195,197,201,201,205,243,192,122,185,209,204,200,213,208,148,110,200,194,194,145,155,161,164,172,179,184,189,194,197,199,203,205,203,245,207,132,165,215,204,203,220,203,132,132,208,195,195,146,155,162,165,173,180,186,191,195,198,200,204,207,201,243,229,149,155,216,202,212,213,173,107,166,208,198,197,147,158,163,166,174,181,187,192,196,199,203,205,207,204,229,229,145,150,218,208,227,213,159,94,193,205,199,198,149,160,164,168,176,184,189,194,198,202,204,207,210,210,227,225,126,127,218,211,226,205,135,125,213,201,202,201,151,162,166,170,178,185,191,196,199,204,205,208,211,172,170,233,135,151,193,206,200,169,96,167,216,202,204,203,150,162,169,172,179,187,194,197,201,205,206,218,227,161,124,180,151,147,185,199,195,128,97,208,208,207,205,205,151,163,171,173,181,189,196,199,203,206,208,201,224,168,155,130,153,147,132,177,181,100,155,222,208,209,208,206,153,165,170,173,183,191,197,201,205,209,230,167,162,179,181,172,185,154,70,111,145,81,175,221,211,211,210,208,154,166,171,176,184,192,198,203,203,228,245,206,128,167,179,168,168,137,106,72,80,75,186,221,211,213,212,209,156,168,172,176,184,192,199,204,205,227,244,217,134,129,167,103,127,151,134,101,66,66,200,220,213,214,213,211,157,168,173,178,186,194,201,206,206,240,234,201,153,110,174,151,85,162,158,122,93,54,166,230,214,215,213,212,157,169,175,179,188,195,203,207,209,241,224,206,156,79,166,242,113,146,197,134,111,69,119,235,216,217,215,213,159,172,174,179,189,196,203,210,208,241,255,223,142,124,118,170,107,179,184,141,115,77,111,234,217,219,216,214,160,170,174,180,189,197,204,212,209,236,255,238,169,189,96,130,206,185,169,121,111,66,127,236,217,220,218,216,160,172,176,181,191,198,205,211,211,229,255,222,187,161,121,191,221,159,160,150,101,60,147,238,218,221,219,219,161,173,176,181,193,201,205,213,215,224,255,218,215,165,175,235,199,174,162,160,116,52,181,236,221,221,220,220,160,171,174,181,191,198,205,212,215,219,246,221,215,177,187,232,195,176,146,135,94,66,218,228,223,222,222,221,160,170,173,180,191,198,205,210,214,220,237,223,209,186,150,193,169,141,118,102,56,112,239,223,223,221,221,219,163,171,175,182,192,199,206,209,223,189,185,234,204,174,135,139,142,129,103,84,54,187,236,224,224,221,221,220
14,164,167,169,171,175,177,179,181,181,181,183,186,187,186,188,190,189,188,189,190,190,190,190,190,190,190,189,190,164,168,169,172,176,178,180,180,182,183,186,187,188,188,190,191,190,191,192,192,193,193,192,192,192,191,192,191,165,168,170,173,176,178,180,182,183,185,186,187,189,189,189,194,196,194,193,193,193,195,194,193,193,193,193,193,166,169,171,175,178,179,182,184,184,185,192,189,193,190,178,169,175,189,194,198,197,195,196,195,195,195,194,194,168,173,175,177,179,181,183,185,181,204,211,199,187,172,162,163,157,158,154,156,190,198,195,195,195,195,194,195,169,172,176,179,181,183,185,180,198,229,195,165,152,131,111,130,145,137,117,115,129,202,197,197,197,197,197,197,170,173,175,178,181,182,185,182,236,213,159,122,108,101,101,98,109,113,112,122,106,158,208,199,199,201,199,196,170,173,176,180,182,184,179,210,242,181,141,122,93,90,95,83,89,108,124,122,108,113,148,159,166,203,199,199,173,175,178,181,183,185,181,239,210,150,125,102,88,98,94,84,86,99,127,128,97,119,102,127,142,203,200,201,174,176,178,181,186,179,205,246,183,138,118,89,81,89,86,96,90,175,203,197,170,125,122,130,150,208,200,201,174,177,180,182,186,182,241,233,176,136,123,113,92,72,86,92,121,206,203,202,212,148,149,132,148,210,200,201,174,178,183,187,178,211,255,221,175,134,122,113,97,88,88,93,179,207,201,204,201,144,158,134,126,206,201,201,174,179,184,187,176,224,252,218,173,129,118,108,92,96,90,128,212,201,203,205,200,137,156,142,110,182,209,202,176,181,183,189,174,220,255,218,179,142,115,99,87,93,84,157,212,202,204,208,198,134,148,143,115,165,212,202,177,182,185,190,176,222,255,218,182,153,124,100,90,91,78,168,215,205,204,210,186,148,164,149,122,177,211,202,177,183,186,192,174,229,254,221,188,154,129,110,87,89,79,141,206,206,209,217,172,152,168,153,129,193,211,204,178,183,185,193,175,231,255,226,189,162,138,124,93,91,100,100,119,134,160,191,146,153,164,149,137,203,209,208,180,183,186,193,174,230,252,224,191,167,147,134,106,90,106,108,111,121,131,132,134,158,164,142,144,212,208,208,181,185,189,193,177,228,246,222,194,172,149,134,116,91,107,115,129,139,146,148,131,136,159,137,157,216,208,209,181,187,190,193,177,231,245,224,195,172,148,131,124,99,112,126,141,147,147,147,135,126,142,130,176,216,209,210,183,188,190,193,175,229,238,217,191,167,143,131,125,110,116,130,142,146,146,146,137,132,139,125,192,215,209,210,184,189,191,195,180,223,231,210,188,166,145,137,128,120,124,133,140,143,142,140,138,139,129,154,211,210,210,211,184,187,192,194,186,226,231,211,190,168,154,144,134,125,130,137,139,144,139,137,141,135,165,210,213,214,212,211,185,189,192,195,188,234,234,212,194,169,154,141,134,130,128,137,140,142,138,143,133,174,218,214,213,215,213,214,185,190,194,197,185,237,234,216,196,169,147,134,135,136,132,138,142,143,144,133,157,215,214,213,215,215,212,214,186,191,194,196,186,239,227,211,191,163,141,135,139,138,136,142,146,145,134,155,211,215,214,215,215,215,212,214,188,192,195,196,189,236,224,211,194,166,139,137,139,136,133,140,145,136,163,215,216,215,216,216,215,216,214,214,189,192,194,196,195,231,226,213,203,178,139,134,135,135,134,138,137,159,214,218,216,216,216,216,215,215,215,215
8,163,164,166,166,168,168,170,170,170,169,169,169,168,168,168,168,167,167,167,165,164,163,163,162,162,161,159,157,163,166,168,169,170,170,171,170,171,170,171,171,170,170,170,170,169,169,168,167,166,165,164,164,164,163,161,160,166,168,169,170,171,172,173,173,173,173,173,172,171,173,170,171,171,170,169,169,167,167,167,166,165,163,162,161,168,169,170,173,174,173,173,174,174,174,174,174,172,167,173,171,170,171,171,170,169,168,168,167,167,165,163,162,169,171,172,174,175,175,175,175,176,176,172,183,184,129,164,176,173,171,172,171,170,169,169,168,167,166,165,163,171,174,175,174,175,176,177,177,177,177,173,195,173,104,155,179,173,174,173,173,170,171,169,169,168,166,167,166,173,174,176,176,176,177,178,179,178,178,175,199,150,99,165,179,175,176,175,173,172,171,170,169,170,168,168,167,174,175,177,178,178,180,180,180,180,179,181,200,139,102,176,180,177,176,176,174,173,173,172,172,170,170,169,168,176,176,178,179,179,180,181,181,182,179,188,202,137,113,179,179,178,176,176,176,174,174,174,173,171,171,169,169,178,178,179,180,181,182,183,183,184,179,194,190,120,118,182,179,180,179,178,176,176,175,174,173,172,172,170,170,178,180,181,182,183,184,183,185,185,180,199,188,120,128,186,180,179,176,181,177,175,176,176,175,174,173,172,171,180,182,182,185,186,186,186,187,188,181,207,186,143,143,182,181,192,139,148,187,180,180,175,175,175,175,173,171,181,183,184,185,187,187,188,188,188,185,207,180,155,151,189,198,194,144,107,134,137,168,183,180,176,176,175,173,182,184,186,187,187,187,188,189,189,188,204,186,169,160,202,199,194,173,135,90,91,103,169,160,181,176,176,175,184,186,187,189,189,190,190,192,188,198,214,181,169,175,195,180,188,189,154,145,116,82,112,89,128,185,174,176,186,187,189,191,191,192,192,193,189,208,199,166,161,156,192,168,128,180,172,169,134,85,87,89,71,166,180,175,187,188,190,192,192,192,193,189,197,206,168,140,150,141,181,153,101,108,174,160,130,83,62,81,68,138,188,176,189,191,192,193,194,193,194,192,215,207,177,144,126,117,175,172,138,68,188,172,137,90,59,75,76,165,185,177,189,192,193,194,194,196,192,206,222,199,169,142,128,105,168,177,122,74,170,185,137,93,69,62,123,190,180,181,189,192,195,195,196,197,194,219,219,192,160,138,130,95,101,146,124,115,172,191,139,95,63,109,187,184,183,182,191,192,194,195,198,195,201,224,204,176,166,150,130,104,167,194,186,182,173,176,136,85,101,192,186,186,185,183,192,193,195,197,197,198,213,220,196,184,169,136,122,177,214,202,178,186,161,145,128,89,106,199,186,188,187,184,193,194,197,196,203,179,211,220,194,191,159,129,172,210,200,186,160,173,150,121,124,85,132,198,186,187,187,186,194,195,198,199,204,108,136,224,198,191,146,167,204,209,191,177,156,161,150,104,103,84,188,193,189,188,188,187,194,196,197,208,141,88,81,131,191,181,152,173,195,198,186,174,146,148,139,100,70,136,203,191,192,190,188,187,195,196,205,176,92,88,89,78,99,138,141,166,180,187,177,163,140,144,116,77,80,194,194,193,193,191,190,188,195,200,193,105,89,86,83,90,64,52,81,96,121,149,155,145,138,122,87,61,163,203,194,195,194,192,191,189,195,199,129,86,89,84,81,81,84,39,56,60,57,63,80,92,93,80,58,132,206,195,196,195,194,193,191,188
10,46,49,54,58,67,85,97,106,110,114,120,126,131,134,145,135,138,148,146,147,148,148,148,146,146,145,144,141,47,50,54,58,70,87,99,108,111,117,123,128,133,137,179,116,105,153,147,147,149,150,148,147,146,146,144,141,48,51,55,60,72,89,100,109,112,117,125,132,134,146,178,124,85,150,151,150,152,151,150,150,148,148,146,144,49,53,56,61,73,90,103,111,114,120,128,133,138,147,178,145,78,142,156,153,154,153,152,150,150,149,149,146,50,54,58,61,75,92,106,113,116,123,130,136,143,144,179,170,90,132,161,155,155,155,154,154,154,151,150,149,51,54,60,62,78,95,107,115,118,124,132,138,144,145,190,180,100,120,166,156,157,158,156,156,156,155,152,150,52,55,61,63,80,97,109,117,120,127,135,142,148,146,189,177,110,108,168,159,160,161,160,159,158,156,155,153,52,57,61,63,80,98,112,118,121,130,137,143,149,147,192,187,110,90,169,162,163,163,162,160,159,159,156,156,52,56,61,64,82,101,114,120,124,130,139,147,150,149,196,196,124,73,164,165,164,165,164,163,162,161,159,158,53,56,61,66,85,101,115,125,128,139,173,112,133,157,187,174,125,63,150,172,166,167,166,165,164,163,162,161,54,59,63,68,82,121,157,112,78,123,157,65,89,167,178,154,111,52,131,177,168,169,168,166,166,166,164,164,54,59,63,70,81,139,154,73,47,61,104,65,27,127,168,129,120,57,122,181,170,171,170,168,168,168,166,165,55,59,62,70,88,112,114,75,62,51,90,74,32,33,90,95,128,79,99,184,171,172,171,171,169,168,168,166,55,60,63,71,91,108,121,124,117,104,106,81,62,32,34,54,92,86,66,172,175,173,174,172,172,171,170,168,57,60,63,70,91,109,125,132,144,149,94,100,82,73,46,36,62,70,46,153,183,177,176,174,174,173,171,170,57,60,64,72,91,110,127,130,161,144,63,82,128,108,87,56,44,54,37,142,188,178,178,177,176,175,173,171,55,59,63,74,94,111,129,135,152,159,121,52,89,138,114,94,63,41,30,118,192,179,180,179,177,176,174,172,56,61,61,72,97,109,149,153,115,171,134,70,72,186,132,114,90,41,22,70,190,181,182,181,180,178,177,175,58,61,63,72,97,109,163,185,111,118,124,75,130,211,151,123,101,51,24,53,187,185,183,183,182,181,180,178,57,60,63,74,97,112,150,185,135,75,131,113,136,211,147,116,102,65,28,52,189,187,186,186,183,182,181,179,57,60,62,75,99,117,131,157,147,85,133,164,139,193,159,120,95,69,36,50,189,188,187,188,185,183,182,181,57,59,62,77,99,118,130,146,148,87,132,214,116,160,164,135,92,63,42,47,188,190,189,188,187,185,184,182,56,58,61,76,99,118,133,136,161,126,153,135,62,124,164,123,88,59,41,56,192,190,190,188,188,187,184,182,57,61,61,76,100,119,135,137,153,188,158,78,87,147,146,112,79,55,38,74,200,190,192,190,189,188,185,184,55,59,60,77,100,120,132,138,140,174,186,160,134,154,125,97,72,58,38,94,203,188,191,191,189,188,186,186,53,56,59,76,99,118,133,135,143,162,180,164,120,123,110,84,74,68,41,107,203,188,191,190,188,188,186,185,52,53,57,76,100,118,134,137,148,51,142,170,105,126,130,126,107,85,39,125,203,191,193,190,189,188,188,185,51,53,55,73,98,117,130,147,87,0,129,189,158,151,134,148,124,84,29,129,206,191,194,191,189,189,188,185
5,68,75,81,88,95,101,107,110,112,117,121,123,126,130,132,132,145,122,125,145,144,146,146,146,146,148,148,147,69,75,82,89,96,103,108,111,114,119,120,127,130,131,134,134,165,102,96,151,145,147,147,147,148,149,150,149,70,76,84,91,98,105,110,114,117,118,129,121,129,135,132,151,156,68,113,152,145,148,149,150,151,152,151,151,71,78,85,93,100,105,111,116,117,120,164,94,107,144,131,174,117,57,138,151,147,150,152,152,152,152,152,152,74,80,86,94,101,104,114,118,115,136,155,71,115,142,148,180,88,79,156,149,151,154,154,153,153,154,155,155,74,82,87,93,110,126,97,121,111,161,120,61,135,136,178,147,71,115,160,152,154,155,156,156,155,157,157,156,75,82,88,90,126,140,69,120,118,176,103,78,139,155,171,90,74,148,155,154,153,155,154,160,158,158,158,158,76,82,90,90,131,159,68,117,132,152,81,101,142,176,147,69,98,161,150,157,179,164,116,152,162,160,160,159,77,82,91,94,125,195,88,99,146,132,75,120,150,183,137,80,129,160,164,178,169,181,119,140,167,161,162,161,77,82,92,100,110,202,157,113,136,141,101,117,166,168,114,86,146,165,192,147,132,182,91,148,166,163,164,163,79,84,93,103,100,184,212,181,139,126,106,108,156,137,99,110,167,182,144,85,130,174,72,142,172,165,165,166,81,84,94,103,107,129,200,209,168,116,91,86,102,99,105,145,176,169,119,67,152,168,74,109,178,166,167,167,78,85,96,104,114,111,145,215,173,126,86,73,75,78,102,151,139,125,89,98,174,150,87,81,172,168,170,170,80,86,97,105,114,122,115,205,185,135,105,78,74,73,90,121,120,88,72,154,182,166,101,83,171,171,171,171,80,87,97,106,115,121,116,202,197,146,125,90,70,71,80,100,102,63,125,174,181,173,110,93,176,172,173,173,81,89,98,108,117,122,119,208,206,162,140,102,71,71,76,100,117,124,153,153,180,170,105,97,179,173,174,175,81,88,100,110,116,124,119,204,210,174,145,99,70,66,83,122,151,161,156,128,136,167,100,107,183,174,175,176,81,90,101,110,116,125,119,198,218,177,145,108,76,63,101,149,157,154,147,120,100,116,83,116,185,174,177,178,82,91,102,113,117,126,117,181,216,176,155,121,85,86,114,145,150,142,131,106,86,84,68,133,184,175,179,179,82,92,104,113,119,126,118,166,213,181,158,127,90,90,128,135,137,118,114,94,81,71,113,175,179,179,181,181,82,93,104,112,120,127,119,168,220,184,145,116,92,76,110,115,116,97,94,84,73,124,180,179,181,181,180,181,83,93,104,113,120,130,117,173,215,163,124,97,84,79,93,103,99,85,80,76,140,183,177,179,182,182,182,182,83,94,106,114,121,131,116,181,206,155,121,91,90,93,87,94,84,76,70,140,184,177,180,181,182,182,183,182,83,95,106,115,123,124,142,188,194,166,131,92,100,103,82,82,74,65,135,183,177,181,182,183,183,183,184,183,84,95,106,117,118,146,207,205,175,145,123,100,101,94,74,71,53,115,183,176,180,183,183,184,184,184,184,185,85,94,107,112,130,196,208,209,194,167,111,90,89,84,72,64,62,168,179,177,181,184,185,184,184,186,185,186,84,95,106,112,185,201,203,191,180,177,158,121,85,71,63,51,80,183,174,178,181,183,185,185,186,186,185,186,84,96,99,152,204,193,193,176,173,157,158,150,108,79,72,61,61,151,177,177,179,182,182,183,185,185,185,186
2,177,178,177,179,178,178,180,179,179,180,181,179,178,178,178,178,179,175,177,177,175,175,175,175,172,172,171,170,181,181,181,181,181,180,181,182,180,183,183,181,182,181,183,183,182,183,178,176,173,176,176,175,174,173,172,171,183,182,183,182,183,182,183,183,184,184,184,183,178,173,161,158,133,150,194,184,179,177,177,175,175,174,173,174,184,183,184,185,186,184,184,182,185,185,181,167,138,109,85,64,54,91,160,147,174,180,178,178,179,176,174,175,187,186,186,187,187,187,185,186,180,178,157,111,73,57,53,31,30,41,81,58,166,185,181,181,181,179,179,178,188,189,189,187,188,188,188,180,169,147,99,55,32,26,21,23,28,45,52,57,164,186,182,182,183,181,179,180,188,189,188,188,189,189,187,172,165,97,39,23,17,20,30,18,19,29,44,51,66,189,182,181,182,182,180,181,190,190,188,187,188,190,184,176,140,69,18,8,20,24,24,18,33,48,51,56,129,192,183,185,184,185,184,182,191,190,190,189,190,192,180,175,108,43,14,24,23,9,29,44,32,34,78,163,192,185,187,187,182,166,177,185,191,191,192,191,192,190,181,168,104,47,18,32,15,29,39,26,66,158,189,194,187,189,190,184,160,116,131,194,192,192,192,193,197,185,185,163,103,52,30,15,22,50,43,114,187,198,189,189,190,191,187,157,156,81,141,195,194,194,193,196,186,170,193,157,98,49,33,10,39,33,100,215,191,190,192,191,190,193,170,149,132,73,184,189,197,196,194,200,173,158,195,158,111,59,27,17,36,31,169,200,191,194,194,192,192,194,153,157,88,91,201,185,197,197,196,203,169,154,199,164,128,69,24,26,23,89,210,192,196,196,194,194,196,175,144,144,76,104,202,187,198,197,198,204,166,170,207,170,135,86,33,29,14,136,215,200,203,202,198,199,176,153,158,142,60,103,206,189,197,198,198,207,168,180,210,172,140,98,40,27,19,129,201,171,163,175,190,180,152,160,155,104,55,170,195,192,198,199,199,204,165,186,210,169,141,112,48,22,34,54,89,102,110,116,125,114,141,148,113,58,159,199,190,193,200,201,201,205,164,186,207,170,148,115,56,26,40,68,104,128,129,106,103,94,104,106,52,147,204,191,195,194,200,202,200,204,161,187,203,179,154,116,61,45,52,100,118,136,122,102,81,77,78,45,124,208,192,197,197,195,201,202,203,200,165,187,200,182,151,115,73,60,50,100,109,122,117,94,71,68,36,88,209,196,197,197,196,196,203,203,206,200,171,191,196,184,148,111,81,70,51,85,99,102,103,84,68,40,63,189,203,198,200,199,199,197,204,203,206,197,180,195,193,190,149,105,84,69,49,81,82,83,79,66,43,103,191,205,199,200,199,199,198,197,206,205,207,194,187,198,188,183,137,87,71,59,48,76,66,73,54,49,147,210,204,201,199,199,199,198,198,197,205,204,206,189,189,198,184,171,121,69,60,54,53,69,56,47,58,166,215,201,203,202,201,201,200,200,200,198,203,203,206,191,181,187,183,176,134,64,65,65,60,62,30,82,188,210,204,204,205,203,202,202,201,199,199,198,204,204,204,191,185,177,182,189,153,61,72,73,70,35,79,206,204,201,205,203,202,202,201,201,200,197,197,197,203,206,198,192,200,186,190,190,161,65,75,80,65,68,196,207,204,205,204,204,202,203,202,201,200,198,197,197,204,207,195,195,199,197,192,186,158,74,67,75,55,143,216,203,207,206,207,206,203,203,204,202,200,200,198,197
4,179,179,179,178,179,178,178,178,176,174,174,173,174,175,173,172,172,168,168,167,166,166,166,166,164,162,160,160,180,180,180,179,180,179,178,179,178,176,177,178,177,176,173,170,172,174,168,167,168,167,167,166,164,163,161,160,182,182,181,181,180,179,180,180,179,178,168,156,160,172,174,150,124,142,176,171,172,172,166,166,165,164,161,161,183,183,182,181,181,181,181,181,180,181,173,166,154,136,137,149,140,106,143,160,139,151,170,166,167,165,163,162,183,183,182,183,183,183,181,182,175,174,171,165,161,155,119,99,132,135,105,101,108,88,141,173,165,165,165,163,184,183,184,184,183,184,182,179,168,168,157,130,94,138,125,78,101,134,106,76,101,92,97,174,166,166,166,164,185,185,185,185,185,184,183,180,180,169,160,138,89,106,127,84,86,117,91,75,112,109,82,158,170,167,166,165,185,185,185,184,184,184,185,179,143,116,140,154,105,101,133,124,110,109,81,84,119,111,81,155,173,166,166,165,186,186,186,185,185,185,184,186,154,103,72,161,139,114,133,149,150,113,110,111,110,128,95,153,172,167,165,165,186,186,187,186,186,186,186,178,139,97,54,106,140,100,103,118,141,119,113,115,111,122,90,121,178,168,167,166,187,187,187,189,186,185,187,169,136,120,110,83,83,92,83,78,97,124,116,111,108,105,96,93,175,169,167,167,188,188,189,189,187,186,187,172,160,142,111,86,75,90,86,91,83,95,107,102,100,116,113,80,156,174,169,168,189,189,189,189,188,187,188,177,162,132,106,83,81,87,90,107,101,81,69,107,142,137,120,84,128,178,168,167,190,190,191,190,190,188,188,179,150,120,95,78,80,89,107,111,110,108,118,126,140,142,130,102,101,176,168,166,191,191,191,190,190,188,188,178,154,132,105,85,90,97,108,120,119,135,156,156,136,157,149,116,85,167,171,168,192,191,192,192,191,189,187,183,164,138,110,88,87,97,119,131,137,144,156,163,157,141,137,112,74,159,173,168,191,191,191,192,192,191,187,178,166,145,120,90,87,102,121,134,148,155,163,159,147,138,116,95,77,168,173,169,191,191,191,192,193,191,185,174,172,155,130,105,90,91,119,144,154,166,168,157,140,126,109,71,111,181,169,170,192,192,192,192,193,192,183,169,172,160,135,116,100,89,121,155,164,172,165,151,131,119,96,68,160,176,171,170,191,191,191,192,192,192,183,166,165,158,138,120,105,97,121,163,164,165,156,140,123,111,78,106,184,171,173,172,191,192,192,193,193,194,184,164,161,160,147,125,111,105,129,164,159,155,145,129,114,100,70,156,180,173,172,171,192,192,194,194,194,195,188,163,162,163,151,130,121,109,135,159,155,150,135,116,105,77,97,184,175,176,173,172,192,193,194,193,193,194,193,171,165,167,156,137,123,107,132,154,149,143,125,104,93,67,156,183,177,177,174,172,193,195,194,193,194,195,195,175,172,170,154,141,127,108,123,147,139,128,109,97,65,114,188,177,177,176,174,173,193,194,193,195,195,195,193,181,177,166,154,145,132,114,117,130,124,111,98,75,81,180,181,178,177,176,174,173,194,194,195,195,195,195,193,183,178,164,152,140,129,119,112,117,114,100,86,61,158,186,179,178,178,177,175,174,195,195,195,195,194,195,188,182,174,164,156,149,140,133,118,111,109,96,66,112,190,179,180,179,177,176,176,174,195,195,196,195,195,195,181,181,175,166,157,155,142,136,121,109,103,85,70,166,187,182,181,179,178,176,175,174
7,207,207,207,207,207,207,207,207,206,206,206,205,203,203,202,201,200,199,198,196,193,192,191,189,187,185,184,181,208,208,208,208,209,209,209,208,208,208,207,207,206,205,204,202,201,200,199,198,196,194,193,191,189,187,186,183,209,209,210,210,210,211,211,211,210,209,210,209,208,207,206,204,203,202,201,200,198,196,194,193,192,190,188,186,211,211,212,212,212,212,212,213,212,212,211,210,210,209,207,206,206,204,203,201,200,198,195,194,193,192,190,188,213,213,213,214,214,213,213,214,214,214,213,211,211,210,209,207,204,201,198,194,188,181,180,182,184,192,193,191,214,215,215,215,215,215,215,215,215,215,214,212,209,204,198,189,177,168,163,161,152,142,156,170,164,184,194,192,216,216,216,216,216,216,215,213,209,203,197,190,180,169,159,152,138,130,133,129,124,121,132,144,147,180,194,193,217,217,217,217,217,215,206,190,172,161,155,153,150,144,139,132,121,113,112,107,106,100,96,109,131,156,178,192,218,218,218,218,215,202,184,162,139,133,135,133,133,131,128,120,117,116,108,102,105,99,94,92,93,108,136,179,218,218,217,211,197,184,175,156,130,119,116,114,118,123,128,132,133,129,108,94,100,94,86,81,77,92,118,171,218,217,207,189,179,176,171,158,142,129,125,128,135,140,138,137,130,118,96,81,86,86,86,91,96,113,146,186,217,206,186,175,174,172,168,163,154,140,133,131,133,129,121,118,111,103,96,102,124,142,156,167,176,183,193,198,205,187,176,174,174,171,170,164,146,117,101,102,101,93,89,112,135,149,164,182,197,203,205,206,206,204,202,201,186,180,178,177,175,171,164,150,125,90,76,75,69,62,64,109,180,209,213,214,213,211,210,209,208,205,203,201,180,181,180,178,174,164,149,136,116,90,74,60,53,52,51,68,151,212,217,215,213,212,210,209,207,205,203,202,179,180,180,178,168,152,139,132,126,119,96,63,52,51,53,86,167,213,215,214,212,211,209,207,206,204,200,191,177,180,181,175,157,139,130,126,130,129,98,62,51,49,79,157,208,217,215,214,213,211,209,207,203,194,171,134,177,179,175,159,137,124,119,116,117,107,78,54,46,47,114,204,219,218,216,215,214,210,202,188,164,131,97,73,175,171,157,140,127,122,118,107,99,90,73,56,49,57,132,211,219,217,215,213,205,177,142,112,86,68,58,56,164,153,139,132,126,120,109,93,84,87,82,62,58,100,179,213,205,187,177,170,145,104,77,61,55,53,53,55,145,137,131,123,112,99,87,80,83,90,80,63,80,139,169,161,129,98,88,81,72,61,60,52,43,46,51,55,136,132,121,105,95,88,83,81,80,77,71,78,91,100,97,87,63,49,52,47,50,46,47,46,34,39,47,52,131,123,109,98,95,90,83,75,72,76,91,96,86,75,68,62,51,37,42,40,40,39,39,37,28,32,42,49,112,99,89,87,85,82,77,77,87,99,99,85,71,62,55,50,45,34,33,36,33,34,34,30,23,29,40,46,78,72,77,82,86,88,92,101,108,99,75,62,57,52,45,44,41,33,25,30,29,30,32,25,22,29,39,44,60,83,103,109,113,112,111,111,102,79,57,46,48,47,39,39,36,32,20,23,27,28,30,23,23,30,37,41,70,105,117,117,119,115,111,104,83,55,46,39,38,42,34,32,28,28,20,19,25,27,29,22,25,31,37,40,81,111,118,116,117,114,107,92,64,40,42,39,32,37,29,29,24,27,23,16,24,27,28,22,27,31,37,38
4,165,166,167,169,171,172,173,174,175,176,178,179,179,178,178,177,177,177,176,176,175,174,174,174,175,174,173,172,164,166,168,170,171,172,173,175,176,176,178,178,179,178,178,177,178,178,178,177,176,176,175,175,175,174,174,172,166,167,169,171,172,174,175,175,176,177,179,179,180,179,177,179,178,179,178,178,178,178,177,176,175,175,174,174,167,169,170,171,173,175,176,176,178,179,180,181,192,181,165,161,186,177,164,172,179,179,178,177,175,176,175,175,168,170,171,172,174,176,177,178,182,184,175,187,212,179,164,142,197,174,150,134,175,179,180,179,176,176,176,175,169,172,172,173,175,179,178,180,213,210,184,161,210,187,159,157,207,177,149,111,166,159,157,178,177,177,178,177,168,172,173,173,176,178,177,195,230,227,194,140,188,194,152,171,211,177,142,145,173,140,112,152,180,178,179,178,170,173,175,175,177,178,178,212,219,222,181,133,181,195,161,172,197,188,193,177,136,123,98,114,178,180,180,179,172,173,176,179,179,178,186,220,199,213,169,118,166,187,193,191,204,223,222,185,129,99,91,103,178,182,180,180,172,175,176,178,180,178,197,218,189,198,171,107,145,173,181,197,209,215,202,191,151,102,82,108,181,182,181,180,173,175,178,179,180,182,216,212,182,180,176,104,128,165,127,157,185,190,186,197,164,118,82,119,184,182,182,181,174,175,178,180,178,198,223,193,169,156,136,93,126,164,102,137,170,152,188,205,176,134,91,138,185,182,182,182,174,176,179,180,179,214,216,180,153,148,129,108,126,146,104,139,174,116,188,218,192,149,102,157,187,184,183,183,175,178,180,180,184,228,214,176,146,134,120,114,120,121,116,124,149,125,183,227,203,159,109,138,187,186,184,183,177,179,181,180,191,237,213,176,144,126,112,115,123,125,152,157,177,195,196,212,196,157,120,108,181,188,186,185,178,181,182,179,201,240,212,174,140,130,118,118,119,133,173,187,208,207,206,185,173,160,131,106,175,188,186,185,178,180,182,180,212,240,212,169,145,146,130,117,117,155,198,210,211,203,193,168,143,150,125,116,180,187,186,186,177,180,181,179,220,239,209,174,169,164,138,133,168,209,222,213,210,199,176,151,129,125,108,140,187,187,187,186,176,178,180,180,225,237,213,194,194,173,146,182,217,230,231,213,202,185,163,141,121,108,107,170,188,188,187,186,176,179,181,183,229,237,224,208,199,184,156,205,227,233,234,205,184,170,153,136,114,97,136,188,189,188,186,187,177,180,182,183,230,240,231,212,195,187,166,211,231,232,222,194,168,156,144,128,106,106,175,191,189,188,187,187,177,180,183,182,222,242,231,215,194,185,180,213,228,218,202,180,156,147,136,115,98,140,190,190,190,189,189,188,178,181,183,181,213,236,223,211,199,186,185,203,213,200,182,163,151,147,128,103,110,178,191,192,190,189,188,187,179,180,183,182,213,227,211,207,205,192,186,194,203,190,173,153,145,140,118,100,152,193,191,190,190,189,187,187,178,180,183,181,211,219,203,205,205,187,175,189,202,188,165,141,134,129,110,130,187,193,192,191,189,189,188,188,172,175,178,176,202,221,206,205,197,185,169,183,203,182,149,126,124,116,111,167,185,185,185,184,182,181,181,180,129,130,132,128,177,229,216,211,197,187,171,174,197,170,136,120,116,106,105,122,123,122,122,122,120,122,123,123,101,100,102,97,157,237,227,217,203,193,175,165,193,169,134,117,108,99,94,94,92,92,92,91,92,91,99,152
15,73,72,73,76,76,77,80,91,102,112,120,128,135,139,140,143,148,152,156,161,164,167,168,170,173,175,176,179,73,72,74,75,75,77,81,92,102,112,121,129,136,139,140,144,148,152,158,162,165,168,169,172,175,176,178,181,72,73,73,75,77,77,81,93,103,114,121,131,138,140,140,143,148,153,159,162,166,169,171,174,176,178,181,182,72,73,73,75,78,78,82,93,105,114,123,131,137,141,141,143,150,156,159,162,167,169,172,175,177,180,181,183,72,72,76,73,74,76,82,95,106,114,124,132,137,141,142,145,150,156,159,164,167,170,173,175,178,180,181,183,74,75,69,86,102,84,85,95,107,117,125,133,140,142,143,146,151,156,161,164,169,171,173,176,179,181,182,184,74,73,71,168,142,118,115,109,105,109,123,130,129,130,137,148,155,160,163,166,167,172,174,177,180,181,182,185,73,72,80,157,124,109,109,106,95,111,111,113,106,107,109,116,127,144,158,169,174,175,175,176,180,181,183,186,73,75,71,96,96,80,86,75,79,104,94,97,91,113,115,109,109,112,120,128,136,158,181,178,180,182,184,187,74,72,74,73,74,74,77,72,76,81,78,74,80,112,109,107,110,113,122,109,94,88,130,189,178,183,186,188,73,73,73,76,76,78,84,97,105,106,109,105,96,98,93,91,85,116,132,120,105,103,71,136,193,180,187,188,72,73,74,74,76,76,83,97,108,121,129,137,142,123,89,84,119,136,134,127,102,119,98,64,157,193,185,189,73,73,74,74,76,76,85,98,109,115,131,150,138,121,101,130,169,121,136,108,137,126,112,90,71,179,191,188,73,72,73,74,76,75,85,99,104,136,175,143,108,101,88,98,153,99,94,145,151,119,145,116,67,94,199,189,72,71,71,71,74,73,83,99,97,171,175,104,94,104,102,79,100,63,93,186,111,119,152,129,93,50,139,203,71,71,70,71,73,73,83,99,98,157,145,91,102,119,125,117,93,66,107,141,77,115,152,137,102,68,65,156,71,70,69,71,72,73,85,99,98,152,134,72,113,126,136,124,89,85,93,95,103,121,127,119,95,70,61,68,70,69,69,71,72,72,83,99,98,154,184,106,102,127,135,114,79,81,91,96,108,114,100,78,75,67,62,65,68,68,69,70,71,71,82,98,100,154,153,177,135,96,86,79,75,88,90,93,101,114,99,66,65,65,65,69,68,68,67,70,69,71,81,96,101,191,154,158,161,118,80,38,45,75,94,98,108,119,94,67,65,66,68,70,64,66,66,67,67,69,81,94,103,137,150,165,152,143,114,60,17,27,55,108,105,101,79,68,70,71,69,68,67,66,64,65,64,67,79,92,104,111,123,137,128,131,113,104,45,35,51,105,119,98,82,80,82,81,74,69,120,116,112,108,110,112,112,114,117,120,125,126,110,104,130,158,83,37,67,67,113,124,112,98,88,81,73,70,100,99,98,101,103,101,100,99,92,92,94,99,102,98,107,172,87,76,82,66,79,92,92,86,77,72,68,66,103,102,103,103,102,102,103,105,100,99,103,103,104,105,99,113,94,108,108,102,101,87,73,70,68,64,61,62,108,106,104,106,106,105,105,107,107,106,109,107,107,109,110,105,109,106,109,110,126,119,95,78,71,65,61,62,110,109,107,106,108,107,108,108,108,109,108,109,108,108,108,108,109,109,107,106,120,127,117,89,83,93,83,66,109,108,106,106,108,110,109,110,109,110,111,109,108,109,108,108,109,109,108,110,98,128,162,110,118,124,107,89
8,174,177,179,181,182,183,185,186,186,185,186,186,187,185,184,184,182,182,181,180,179,178,177,176,175,175,174,172,176,178,181,177,167,184,187,187,186,186,186,187,187,186,186,185,184,183,182,181,180,180,179,178,177,176,175,173,178,179,187,175,130,174,189,189,187,187,187,188,188,188,187,187,185,184,185,184,182,182,181,180,179,178,177,175,179,181,191,183,120,155,191,191,191,190,189,189,189,189,188,188,187,186,186,185,183,183,183,180,180,179,177,177,180,183,189,194,123,142,193,192,193,191,191,190,191,190,190,188,187,187,187,186,185,184,183,182,182,180,179,179,182,185,188,191,128,131,194,194,194,193,194,192,193,193,192,191,189,190,188,187,186,185,186,185,183,182,181,180,184,187,189,198,155,122,190,196,194,183,179,193,190,174,179,193,193,192,190,189,188,187,187,186,186,185,183,181,185,187,188,202,169,114,177,198,209,187,151,171,198,156,134,175,175,184,192,190,190,189,188,188,187,185,184,182,186,189,190,200,178,129,152,200,223,215,167,130,190,169,160,132,129,133,182,193,192,192,189,190,189,186,184,183,189,191,192,200,201,155,143,191,216,224,187,121,157,171,175,162,148,137,150,181,192,193,191,192,190,187,185,185,191,192,193,197,206,160,151,181,191,213,192,126,124,158,147,183,189,188,160,126,184,193,192,191,191,189,186,185,191,193,195,197,208,189,169,190,186,189,192,128,102,136,103,159,182,194,166,110,174,195,192,192,192,191,189,187,192,195,197,198,217,208,163,161,175,163,191,154,101,115,94,131,178,199,170,110,173,196,193,193,193,193,191,188,193,196,198,199,214,193,147,141,147,137,175,182,118,96,86,137,195,210,174,111,174,198,195,195,195,194,193,190,195,197,199,199,215,210,170,140,129,125,141,154,124,104,89,150,202,210,171,110,174,199,197,197,196,195,194,191,195,198,200,200,220,218,184,148,126,122,126,166,163,131,144,182,199,198,154,101,164,201,198,197,197,196,194,191,195,198,200,201,223,218,190,162,129,114,135,184,191,190,197,192,177,165,129,93,156,202,200,198,198,197,195,192,194,198,201,203,227,218,196,175,147,117,132,182,214,220,210,186,155,131,108,95,179,202,200,199,198,197,195,193,196,199,202,205,227,220,200,180,161,130,134,192,225,222,204,176,138,108,88,130,201,202,201,200,199,197,195,194,198,200,203,205,224,223,207,188,173,143,145,205,222,210,182,156,120,91,94,183,204,203,202,201,200,199,197,195,199,201,205,206,220,226,212,194,181,152,151,208,210,188,160,133,105,81,144,206,204,204,203,201,201,200,198,197,199,201,204,206,216,227,215,197,178,151,153,196,196,175,149,119,91,100,192,206,205,204,203,201,201,200,199,197,198,200,203,205,217,229,213,191,166,140,155,182,170,159,141,108,82,155,207,204,204,204,203,201,200,200,198,197,199,202,205,203,220,226,205,183,156,145,159,169,151,140,130,91,113,199,206,205,205,205,202,201,201,199,198,197,199,202,205,202,228,223,205,186,165,159,162,157,141,129,109,97,179,208,206,206,205,205,203,203,201,199,199,194,199,201,202,210,230,218,205,188,168,167,159,139,130,113,91,153,207,207,206,206,205,205,204,203,202,193,159,115,200,202,198,216,223,201,189,177,165,164,149,123,117,94,117,198,209,208,207,206,206,205,200,180,145,101,63,46,200,202,195,222,217,187,167,157,155,162,143,109,110,84,162,210,209,208,206,198,183,165,130,85,50,34,32,35
7,157,158,158,161,163,163,162,162,163,163,163,163,163,164,164,163,164,163,164,163,162,161,160,158,157,156,155,153,158,160,161,162,163,164,164,165,165,165,164,164,165,164,165,167,165,165,165,165,164,163,162,159,157,157,157,156,159,161,163,164,165,166,165,165,166,167,167,167,168,168,168,167,167,168,167,167,166,165,163,162,161,159,158,157,161,163,164,165,167,167,168,168,168,168,170,170,169,170,169,168,168,169,169,168,167,166,164,163,163,161,160,158,164,165,166,166,168,169,169,169,170,170,170,170,170,170,170,170,170,170,170,169,169,168,166,166,165,163,162,161,165,167,168,169,169,170,170,171,172,171,170,172,172,172,172,172,171,171,171,171,170,168,168,168,166,164,163,162,166,168,167,170,171,172,172,172,173,172,172,173,173,174,174,173,173,173,172,172,172,170,169,169,168,166,165,164,168,169,169,171,172,173,174,174,176,178,176,175,176,176,176,175,175,175,175,174,174,173,170,169,170,169,167,166,168,170,171,172,172,175,178,181,170,153,166,173,173,172,174,176,177,175,174,174,171,170,175,172,170,169,168,167,169,170,172,176,180,182,184,187,179,148,131,150,163,161,163,163,161,163,164,166,162,173,188,160,174,170,169,168,173,178,182,185,185,182,179,177,176,150,119,132,147,155,155,149,146,149,146,153,146,146,135,157,174,171,170,170,185,186,185,182,177,170,162,162,169,153,123,115,122,138,148,156,155,147,148,151,142,143,147,149,171,168,170,171,184,181,176,171,168,163,162,167,177,164,127,116,116,112,117,121,123,124,132,136,135,138,147,141,148,146,173,171,181,172,163,159,156,158,161,169,165,146,125,120,128,130,124,105,108,152,148,146,140,138,140,143,144,164,176,174,179,169,159,154,156,155,151,159,167,147,116,101,114,131,133,128,110,166,190,183,184,183,181,180,181,179,175,175,180,172,165,160,161,160,157,158,171,158,126,112,118,116,116,115,108,172,184,181,182,182,181,179,178,179,177,178,174,172,170,165,162,160,160,163,171,158,131,129,136,126,127,101,143,193,183,185,184,183,183,181,181,180,182,165,166,169,170,169,164,158,156,158,151,142,128,126,132,129,119,120,189,186,185,186,184,184,184,183,182,185,144,99,134,156,171,167,158,153,147,138,125,112,99,76,85,114,103,152,195,185,186,186,185,185,185,183,188,171,97,100,52,77,119,148,138,124,125,128,148,162,104,67,83,102,123,185,187,187,187,186,185,183,183,185,183,132,92,88,35,30,38,50,105,167,176,188,191,197,177,115,134,154,182,190,188,188,187,185,185,190,186,183,129,88,80,62,31,31,27,30,168,195,188,188,187,187,190,190,191,194,190,189,189,189,187,191,192,156,118,101,83,73,64,52,26,26,17,48,191,185,187,189,189,189,189,188,187,187,189,190,190,188,190,171,123,91,90,82,75,63,53,47,27,27,17,39,190,187,187,188,189,189,189,190,189,189,190,190,189,198,174,99,62,64,80,71,67,66,58,44,33,30,6,37,196,191,192,192,193,194,194,195,195,195,194,195,197,171,114,93,65,46,59,65,59,61,63,48,33,18,2,24,155,160,161,164,166,168,170,171,172,174,174,178,166,93,68,95,62,39,42,56,53,54,63,56,21,6,6,30,96,94,95,97,99,101,104,104,106,107,104,115,114,75,60,88,59,34,39,46,48,49,57,59,10,9,7,48,107,99,100,101,100,100,99,101,100,97,102,111,101,66,54,81,55,34,35,42,44,45,52,58
20,185,187,191,194,198,200,201,204,205,206,208,208,209,210,212,211,213,209,213,211,211,210,210,210,209,209,208,207,186,189,193,197,199,201,203,205,207,208,209,210,211,212,213,212,239,187,197,211,212,213,211,211,211,211,210,209,188,191,194,199,201,203,205,208,209,210,211,212,214,215,215,214,250,179,196,201,189,220,213,214,214,213,211,211,190,193,195,200,204,204,206,209,210,211,213,214,215,216,215,217,247,184,214,213,167,221,216,217,216,215,215,213,190,194,197,201,205,205,208,211,212,213,215,217,217,218,216,220,255,199,212,229,164,217,219,218,218,217,216,215,192,196,199,202,205,207,210,212,214,215,217,218,219,221,217,224,255,198,216,244,172,213,222,221,221,220,218,217,194,197,200,204,206,209,212,214,216,217,218,218,219,219,218,233,249,193,228,240,172,210,225,222,222,221,220,218,196,199,202,205,209,211,213,216,217,218,221,222,222,233,221,233,252,192,233,236,167,210,227,223,223,222,221,220,197,201,204,208,210,212,215,217,219,221,222,217,239,255,244,188,209,192,233,233,169,215,228,225,225,224,223,222,198,203,206,209,212,214,216,218,220,222,226,245,240,225,233,192,152,160,214,216,171,220,230,227,225,225,224,223,200,204,207,210,213,216,219,220,222,219,245,255,251,200,214,219,210,181,170,189,167,223,230,228,227,226,226,225,202,205,208,211,214,218,220,221,224,223,250,216,210,238,180,221,244,210,153,157,161,228,229,229,228,228,227,227,203,206,209,213,216,219,221,222,225,223,251,206,150,163,136,163,236,223,172,146,153,227,231,231,231,229,229,229,203,207,211,214,217,220,222,224,226,227,248,212,198,167,149,141,207,253,203,150,148,228,234,232,232,231,230,230,205,208,212,215,219,221,223,226,227,229,255,244,201,171,164,166,185,255,230,168,140,225,236,234,234,232,232,232,206,209,212,216,219,222,225,227,228,231,255,230,185,169,173,185,207,255,246,190,143,218,239,235,235,233,233,232,208,210,214,218,221,223,226,228,228,232,255,234,197,185,188,196,241,255,243,202,150,217,239,234,236,235,234,234,209,212,214,219,223,224,227,229,231,233,255,246,211,193,202,217,255,255,233,200,153,216,243,238,237,236,235,235,210,213,216,220,223,226,227,231,233,234,255,254,224,197,212,237,255,255,230,195,155,216,246,239,238,237,237,237,209,213,216,220,222,225,228,231,233,232,255,255,228,211,214,252,255,249,225,190,151,213,246,238,238,238,238,238,210,214,217,221,222,225,228,231,232,231,255,255,232,230,218,255,255,238,219,185,145,211,247,239,239,237,237,237,210,215,218,221,223,227,230,232,233,232,252,255,242,242,229,243,255,229,211,183,139,212,248,240,240,239,237,236,210,215,217,221,225,228,230,232,234,234,243,255,249,246,235,222,238,211,205,173,137,218,247,241,241,240,239,239,211,215,219,222,225,228,230,233,234,236,239,255,255,241,218,204,217,200,204,170,141,236,245,242,242,239,243,242,212,217,220,223,226,228,230,233,238,246,239,255,251,224,194,185,206,200,198,151,166,250,242,244,243,248,233,178,209,214,218,223,227,230,233,240,225,148,128,254,239,208,185,179,215,196,184,131,204,255,248,249,251,232,163,140,173,174,177,179,181,185,185,191,182,123,76,214,250,216,184,191,229,176,157,114,107,195,220,218,215,158,131,133,145,143,146,148,149,148,147,149,161,167,132,156,225,206,188,205,221,154,136,94,83,127,150,155,163,143,122,113
3,102,47,71,94,110,117,126,134,140,144,149,152,154,156,158,160,161,163,165,166,155,170,172,173,176,176,176,177,95,44,75,96,111,118,127,135,141,145,149,152,155,156,158,161,163,165,167,177,127,152,177,174,175,176,177,179,86,45,80,98,113,120,128,137,142,147,150,153,155,157,160,162,165,165,170,187,128,138,180,174,175,177,178,179,77,48,84,100,113,121,130,139,143,147,152,155,156,158,161,162,166,165,174,184,122,141,180,174,176,177,179,180,68,51,86,102,114,122,131,140,143,148,153,155,157,160,161,163,169,167,179,184,121,148,181,176,178,179,180,181,59,56,89,105,115,123,133,141,145,150,154,156,159,162,165,166,157,160,187,171,120,147,182,178,180,181,182,183,51,63,91,107,117,125,134,143,147,151,155,156,158,149,176,196,164,133,175,153,116,149,184,179,181,181,182,183,46,69,94,109,118,126,135,143,147,152,150,179,197,162,141,173,182,125,149,150,106,162,184,181,182,182,183,184,44,73,96,111,119,128,137,144,148,151,157,172,186,193,150,131,179,152,161,141,110,175,182,182,183,184,185,186,46,78,97,113,121,129,139,145,144,168,205,177,127,150,167,114,167,169,162,134,107,178,182,182,183,186,186,186,49,82,99,114,122,130,139,146,145,178,186,177,156,125,162,146,103,103,161,147,119,141,187,183,185,186,187,188,52,85,101,114,122,130,140,146,146,183,167,127,161,150,136,164,104,95,151,177,163,113,167,189,186,187,187,189,58,86,104,116,123,131,141,146,149,190,156,104,113,115,118,121,121,123,128,176,165,116,165,191,186,187,189,189,60,89,105,116,125,132,142,144,152,187,155,146,130,106,119,120,137,132,137,182,162,115,178,189,187,189,189,189,64,92,106,116,126,133,142,143,161,194,172,148,123,110,125,140,153,135,152,198,160,121,187,188,189,190,191,192,69,94,108,117,126,134,142,142,163,196,159,131,114,116,131,153,157,154,178,197,148,127,192,187,189,190,192,193,74,96,109,118,127,135,143,143,165,193,158,135,120,123,137,160,164,188,193,188,139,127,192,188,190,190,191,193,78,97,110,119,127,136,144,142,164,197,169,142,127,124,140,163,185,205,186,168,135,130,195,188,191,192,192,193,81,97,112,120,128,136,143,144,163,198,173,152,131,131,141,175,203,202,184,151,117,146,196,188,191,192,193,193,84,98,112,121,128,137,143,145,161,200,181,158,136,136,146,189,202,195,181,147,104,156,195,188,191,193,193,193,85,100,113,121,129,137,143,147,156,192,180,159,149,141,152,196,201,189,174,140,101,169,194,189,191,194,194,193,88,101,113,120,129,137,142,147,152,180,180,167,163,151,156,192,196,181,168,131,105,183,191,191,192,194,193,194,90,103,113,121,129,138,142,147,151,169,184,175,169,161,152,180,184,169,156,122,120,194,190,191,192,193,194,194,90,104,114,122,129,139,144,148,151,167,188,179,171,158,149,165,171,160,156,109,144,197,189,192,192,193,195,195,91,105,114,122,129,139,144,148,150,170,197,179,167,150,145,157,158,156,152,111,174,193,190,192,193,193,195,195,92,105,114,122,130,139,143,148,150,176,202,176,167,151,148,159,152,157,130,127,193,188,191,192,193,194,195,195,92,106,115,123,131,139,143,149,149,186,202,185,174,154,159,166,151,147,114,155,194,188,191,192,193,194,195,195,93,107,115,122,131,138,142,150,150,191,202,197,169,156,166,166,148,129,108,173,191,190,192,192,193,194,195,195
24,141,144,145,146,147,147,149,149,149,149,150,149,148,147,147,146,143,142,140,140,139,136,134,134,129,127,127,125,143,147,148,149,150,151,150,151,152,152,153,150,150,148,147,148,147,145,143,142,141,138,136,135,132,130,128,127,145,148,150,151,152,152,153,154,154,155,155,153,152,150,150,149,148,147,146,143,141,140,139,137,134,132,131,129,147,149,152,157,153,155,156,156,156,157,157,156,155,153,153,151,150,149,147,146,143,143,142,140,137,135,134,132,146,155,146,122,158,157,158,159,158,159,160,159,158,156,157,155,152,151,150,149,148,145,142,141,140,139,135,134,147,162,132,65,120,167,159,162,162,161,162,161,161,159,158,158,156,154,152,151,150,148,146,144,142,140,138,136,151,157,124,77,62,159,162,163,164,163,162,163,162,161,160,158,158,156,154,152,151,150,148,146,144,142,140,138,152,159,150,98,46,119,173,163,166,165,168,169,162,163,163,159,158,161,161,155,154,151,150,147,144,144,143,146,154,157,163,125,59,67,170,166,167,167,149,149,171,166,165,167,165,148,143,162,156,153,152,150,149,141,115,100,156,158,163,153,101,51,122,178,167,154,107,71,139,153,104,103,146,116,69,116,165,153,153,153,142,119,78,74,157,160,162,167,130,65,57,168,169,138,126,96,68,108,82,42,73,113,66,38,148,161,155,144,128,96,60,136,158,160,162,168,151,87,52,119,179,130,145,121,74,66,89,53,78,113,70,33,139,167,145,115,113,59,82,155,159,161,164,167,168,134,91,72,156,113,133,136,93,49,85,66,88,116,69,44,155,165,101,92,94,36,121,155,160,164,166,167,171,165,105,73,108,108,98,141,103,65,55,54,82,115,60,68,178,136,75,96,70,57,153,149,163,165,167,170,171,173,133,123,108,95,76,112,114,68,36,32,47,73,40,51,168,89,77,98,47,121,161,149,163,166,169,171,173,174,170,146,108,72,53,54,114,89,64,22,13,35,24,19,67,68,89,75,56,159,154,152,164,168,171,172,174,174,177,146,88,70,61,48,89,124,107,39,0,35,46,71,78,85,92,50,98,167,152,151,165,167,172,174,174,176,178,152,124,103,65,53,81,121,93,47,30,62,98,104,101,81,72,38,141,164,157,154,165,168,172,174,175,179,177,168,147,109,66,58,76,110,93,100,93,91,106,102,95,71,30,70,168,158,159,157,167,171,173,174,176,181,178,165,158,124,91,67,53,102,143,138,132,117,109,99,86,49,34,153,164,159,160,158,167,170,175,175,178,180,181,163,158,133,105,70,60,95,150,148,142,125,107,92,74,21,116,176,160,161,159,158,167,171,175,175,179,181,184,164,145,129,114,78,74,105,143,138,128,113,96,82,43,61,174,164,165,163,160,158,170,172,175,176,179,181,183,170,136,135,122,92,80,107,128,126,122,100,78,60,26,146,173,166,166,165,161,159,170,173,174,177,180,181,181,184,155,134,122,100,71,90,114,114,108,83,64,21,103,179,166,168,165,163,162,160,169,174,174,177,181,182,181,185,174,146,123,97,66,73,96,94,84,63,25,84,181,171,170,167,166,164,162,160,169,173,175,178,182,182,182,185,179,145,117,87,74,76,89,85,67,31,48,184,174,172,171,169,166,166,163,160,170,173,176,180,181,182,183,183,177,149,121,107,99,92,92,86,54,16,129,186,173,173,171,170,168,165,163,159,167,172,175,177,178,181,184,176,170,160,142,118,96,101,96,74,36,44,176,176,174,172,171,169,167,165,162,159
5,178,183,187,192,194,198,202,203,204,205,206,209,208,207,209,208,208,209,208,210,209,207,207,207,208,209,209,209,181,186,190,194,198,201,204,206,208,209,210,211,210,210,212,213,212,213,212,213,212,212,212,212,212,212,212,212,184,186,191,196,202,204,207,209,210,211,212,213,213,214,205,203,217,215,215,215,215,217,218,217,215,214,213,214,187,190,195,199,203,207,209,211,213,213,214,218,212,230,190,125,223,218,218,219,220,219,220,221,218,217,217,215,188,194,198,201,206,209,210,217,218,217,218,215,231,235,157,150,225,219,221,221,222,223,224,223,222,221,219,218,191,195,200,205,210,212,218,185,205,222,219,225,255,160,130,222,224,221,221,220,223,219,220,227,226,224,222,221,194,197,202,206,212,209,239,138,159,231,213,255,231,105,202,231,223,221,234,236,230,155,156,239,226,228,227,224,194,199,204,208,210,221,234,107,186,230,225,248,154,142,238,222,224,249,248,195,170,131,192,234,228,230,230,227,195,201,206,210,209,244,181,116,231,226,223,180,110,204,233,219,241,241,161,119,190,219,235,230,231,231,232,230,197,201,208,211,210,252,162,144,237,224,194,139,119,239,214,217,206,131,133,217,241,235,232,234,232,232,232,231,199,203,209,212,212,254,165,150,240,217,187,151,129,237,196,211,120,118,231,238,232,233,233,237,236,235,234,233,200,203,207,213,216,248,171,140,240,214,192,139,146,204,185,188,98,193,244,233,236,234,237,235,235,237,235,234,201,206,211,215,217,232,224,146,202,221,194,105,140,154,178,153,128,231,237,239,238,237,232,240,240,238,238,237,201,206,213,218,220,219,244,200,141,204,165,141,103,120,157,128,172,247,235,229,238,248,215,161,241,239,238,237,200,204,210,213,221,212,228,248,173,145,136,125,109,114,114,129,204,238,228,239,254,221,231,160,195,253,238,239,200,206,210,214,220,219,221,255,226,156,107,96,98,100,102,143,176,219,239,216,177,143,187,210,154,210,245,238,202,208,211,214,218,222,221,253,240,164,100,93,94,91,101,142,159,169,189,125,133,209,214,205,138,174,246,236,203,209,213,215,218,223,221,243,248,165,95,87,89,86,98,120,132,110,126,172,233,223,222,157,149,246,239,239,204,209,212,215,220,223,221,239,254,174,96,82,88,88,93,108,102,120,221,248,228,218,180,113,233,247,240,241,208,214,216,221,223,224,223,234,255,186,105,81,86,92,87,95,69,163,255,235,219,202,112,144,254,236,241,241,178,187,197,202,206,213,214,225,253,197,117,81,84,86,92,116,127,139,207,223,222,161,104,224,255,247,247,248,93,95,100,102,105,117,103,186,255,207,132,84,87,86,91,122,157,173,141,205,223,138,124,204,203,209,212,215,101,99,98,97,96,101,81,186,255,215,149,90,82,93,107,138,165,181,160,189,190,110,95,96,100,101,105,104,100,100,100,111,110,111,93,194,255,222,158,97,85,92,138,169,188,175,135,136,134,107,115,110,116,113,106,103,98,98,99,103,104,110,94,180,253,225,166,114,101,87,151,179,181,151,110,92,99,117,123,115,113,107,142,195,99,99,101,102,102,106,91,179,244,219,170,131,111,82,141,174,165,123,93,96,109,113,111,97,136,203,242,230,99,101,101,102,101,104,92,204,249,214,177,140,110,84,114,145,131,102,92,109,116,110,103,181,255,249,223,203,98,98,100,102,102,102,96,225,248,208,169,123,96,81,95,109,100,93,106,112,117,112,207,255,242,221,209,180
24,137,141,145,148,150,152,154,157,158,160,161,164,164,165,166,169,170,171,174,174,175,175,176,176,175,177,177,178,137,141,144,146,150,152,155,157,159,161,161,164,166,167,169,171,171,172,174,174,175,177,177,177,178,179,179,180,138,142,145,148,151,153,155,158,160,163,163,166,168,169,170,172,172,173,175,175,177,177,178,179,179,180,180,180,138,143,145,149,151,153,156,159,161,163,164,167,169,170,172,174,173,173,176,177,179,180,180,181,181,181,181,180,138,144,146,150,151,154,157,159,162,164,166,168,170,171,172,174,175,174,176,179,180,181,180,181,182,181,180,180,139,144,147,151,155,156,158,160,163,165,166,168,171,171,172,173,177,179,178,180,180,181,181,181,181,181,182,181,141,142,157,148,130,159,158,161,164,166,167,169,169,169,177,176,173,167,181,180,181,181,181,181,182,183,182,183,141,141,164,164,111,150,161,161,164,167,169,171,171,152,133,176,174,135,135,184,180,181,181,182,183,183,182,183,142,143,150,168,124,120,165,161,164,168,144,165,189,160,114,151,183,147,96,138,190,181,183,184,184,185,185,183,142,146,147,163,156,118,152,163,174,182,150,138,189,165,127,140,186,152,106,90,185,183,184,186,184,185,174,155,141,146,150,155,182,152,120,159,186,197,163,130,179,174,128,123,184,147,104,72,168,189,183,184,186,179,145,115,142,146,150,150,172,168,126,136,175,205,178,137,147,186,138,106,168,132,96,62,153,191,182,185,178,164,130,100,142,147,151,153,155,170,176,157,156,189,186,142,114,165,146,97,136,122,96,64,114,194,185,170,161,151,108,122,142,148,151,153,154,168,182,174,176,184,172,137,97,134,141,94,107,139,106,70,76,165,167,154,152,122,90,166,143,147,151,153,157,157,176,178,172,180,170,136,115,110,155,113,105,172,113,77,120,133,153,155,125,86,144,194,143,148,150,154,158,157,171,190,167,150,149,148,147,106,160,146,84,154,119,144,169,152,145,132,97,119,193,186,143,148,152,154,157,158,167,187,151,141,139,148,146,120,142,134,90,147,180,179,162,145,126,110,100,185,188,187,143,148,153,156,157,160,165,196,171,151,135,136,143,158,141,135,168,187,178,170,157,139,119,93,147,195,186,188,144,149,152,155,157,163,162,199,191,165,140,130,157,172,181,193,195,182,174,164,150,130,100,106,192,189,189,189,144,149,153,155,158,163,161,197,202,172,159,141,146,168,187,204,191,181,177,163,137,113,86,150,195,187,189,189,145,149,152,155,159,161,159,189,208,180,173,160,147,169,185,199,190,184,176,156,133,98,106,191,188,188,189,189,145,150,153,155,158,160,163,173,204,191,178,172,157,166,183,194,189,180,167,152,135,89,161,195,188,190,189,189,144,149,153,156,157,160,164,165,185,196,185,169,158,165,181,188,182,169,153,144,108,123,195,187,190,190,191,189,144,148,153,155,157,161,166,166,176,199,182,168,158,168,173,176,171,158,140,120,97,180,191,188,190,190,192,192,143,148,151,153,156,160,163,165,172,186,170,166,160,163,168,172,167,154,134,97,135,198,186,188,189,189,189,191,141,146,150,152,155,159,161,163,171,175,166,175,172,172,174,169,160,147,125,92,169,191,186,187,188,188,188,188,141,145,149,151,153,158,161,161,170,189,182,188,179,177,170,163,154,141,112,98,183,186,186,186,187,187,189,188,140,144,149,151,153,158,161,160,171,203,187,186,180,175,163,158,154,133,101,110,191,184,186,186,186,187,188,188
22,182,184,187,190,195,197,199,203,204,206,204,211,210,210,209,206,213,210,214,215,213,214,214,214,213,213,213,212,184,187,191,193,196,200,203,205,209,211,157,195,218,213,223,154,197,221,203,204,219,217,216,216,217,216,215,214,186,189,193,196,199,203,206,207,214,205,131,186,223,220,232,137,185,232,198,145,220,220,218,218,220,220,219,218,188,192,196,199,203,207,209,209,219,201,115,189,223,227,229,145,196,235,202,132,215,224,221,221,222,223,223,221,192,196,198,201,205,209,211,212,225,204,118,192,226,232,221,147,205,238,201,134,215,226,224,225,226,226,225,224,194,197,200,202,206,211,215,214,227,219,123,189,229,235,207,145,211,239,205,144,219,229,226,227,228,227,226,226,195,199,202,206,209,213,219,218,230,230,128,181,233,235,191,143,212,240,198,145,227,231,230,229,229,228,229,229,198,201,205,208,211,216,221,219,233,231,126,179,242,221,174,146,216,240,199,147,230,233,232,232,232,232,232,231,200,203,206,210,213,218,221,222,229,245,155,168,232,204,172,144,224,243,196,149,236,233,233,233,234,233,234,233,202,205,208,211,215,219,222,224,229,239,195,165,149,175,187,148,233,245,188,158,243,233,234,236,235,235,235,236,203,207,210,213,218,221,225,226,231,242,215,193,175,162,166,164,242,239,175,170,248,234,237,238,239,238,237,237,204,208,211,215,219,223,228,226,240,255,228,215,231,211,145,157,233,225,164,187,248,238,240,239,239,240,239,240,207,210,213,217,220,224,228,231,231,204,226,155,218,217,166,116,174,185,136,204,249,239,241,241,240,241,241,240,209,212,216,219,222,227,229,233,237,206,207,127,122,217,201,145,116,141,121,219,249,241,241,243,242,242,241,241,210,213,217,220,223,228,228,239,242,190,192,165,83,154,232,184,129,110,122,236,246,243,243,243,244,244,243,243,210,215,217,222,225,229,230,245,241,195,169,149,117,134,248,217,162,123,122,242,247,245,246,246,246,246,245,245,212,215,218,222,225,231,230,252,247,195,151,141,129,216,251,215,176,144,125,244,248,245,246,249,248,248,248,247,213,216,218,223,225,230,232,254,237,192,164,166,175,255,242,199,166,136,127,247,249,247,247,249,249,249,249,247,214,217,220,224,227,232,234,247,233,190,186,161,205,255,223,188,150,119,152,255,248,250,248,249,250,250,250,249,214,218,223,225,228,233,234,244,229,187,186,164,225,255,207,173,145,113,171,255,248,252,251,252,252,252,251,250,213,218,222,225,229,233,236,241,228,188,202,172,233,253,198,163,136,109,180,255,250,253,253,253,253,252,252,252,213,217,220,224,229,232,235,235,228,196,212,176,223,233,190,157,133,105,196,255,250,254,254,254,254,254,253,253,213,217,221,224,228,231,235,234,228,203,210,178,213,215,175,152,128,110,214,255,251,253,254,254,255,254,253,252,214,219,223,226,228,233,237,237,233,204,191,162,193,193,159,151,126,122,238,254,253,254,254,254,255,254,254,253,216,220,224,227,230,234,235,234,232,199,171,161,196,174,161,155,116,168,255,252,254,254,255,255,255,254,254,254,215,219,223,227,232,235,231,238,242,211,188,180,203,162,172,137,118,233,255,253,253,254,255,255,255,255,254,253,216,220,226,230,234,238,229,236,241,219,207,188,194,159,166,110,177,255,251,252,253,254,255,255,255,255,255,255,188,194,201,208,212,214,215,233,217,205,211,184,185,161,141,111,218,255,252,252,253,255,254,255,255,255,255,253
7,162,161,161,162,161,161,161,159,158,155,156,155,153,152,151,151,150,148,147,146,144,143,141,140,138,136,135,133,164,164,163,163,161,161,161,161,160,158,157,158,155,154,154,154,152,150,148,147,146,145,144,142,141,138,137,136,167,167,165,165,164,162,163,162,162,162,160,159,158,158,157,154,154,153,151,151,149,147,146,144,144,141,139,138,169,168,167,168,167,166,165,165,164,163,162,161,161,161,159,157,156,154,153,153,151,149,147,146,145,143,141,139,170,171,169,170,169,168,168,167,166,165,164,162,163,163,161,159,158,156,155,154,153,152,150,149,147,145,143,142,173,173,171,171,170,170,169,168,168,167,166,165,163,163,164,160,161,160,157,155,155,154,153,150,147,146,144,143,174,174,173,172,172,172,171,171,169,169,168,166,165,164,165,164,163,162,160,158,156,155,154,152,151,148,147,145,177,177,175,175,175,174,173,172,169,168,173,174,172,168,167,166,164,164,162,160,159,157,155,154,153,151,148,147,178,178,177,176,177,176,172,181,160,128,154,141,155,167,172,173,171,165,162,161,161,159,156,155,154,153,150,149,178,178,179,178,177,175,175,199,171,180,167,91,73,93,118,132,147,167,171,166,162,160,158,157,157,156,153,150,181,180,180,180,180,176,188,191,185,200,165,109,92,75,71,83,84,95,124,154,162,164,163,160,158,155,154,152,182,181,181,181,181,179,192,184,192,189,164,158,162,114,67,66,74,74,72,73,89,104,126,149,163,157,155,154,184,183,182,184,179,185,195,195,198,184,175,182,168,135,99,70,70,71,63,68,69,71,68,105,164,160,157,155,185,185,184,185,182,191,193,199,195,182,180,177,160,151,137,102,67,70,63,63,73,74,71,66,88,117,155,157,185,183,185,183,186,196,200,192,184,179,171,165,166,167,148,115,76,65,72,68,79,73,65,61,57,70,148,160,187,186,187,183,187,197,202,193,182,175,157,160,171,167,146,109,83,73,58,89,163,148,130,119,116,134,160,159,188,187,188,179,191,198,199,184,177,173,162,162,169,151,127,100,80,78,69,83,174,174,174,173,171,168,161,160,189,188,188,177,199,204,195,172,174,175,165,160,150,120,111,98,77,82,89,76,152,175,167,168,166,165,163,161,191,191,181,179,206,200,188,174,173,167,158,152,123,113,113,95,85,81,79,114,172,173,169,169,167,165,163,162,191,193,172,187,206,193,181,182,170,161,153,135,118,121,106,92,64,55,110,169,177,173,173,171,167,166,164,163,192,188,168,198,197,184,179,177,158,155,143,127,128,118,95,88,88,143,180,178,174,174,174,172,167,165,164,162,195,173,175,201,191,181,179,168,158,149,136,131,122,106,83,137,186,184,179,177,177,176,173,171,169,167,165,162,191,163,189,192,187,180,171,167,152,136,135,124,110,87,108,184,184,180,181,180,179,176,175,173,170,168,167,164,178,173,190,184,185,183,160,148,132,128,125,110,92,100,173,188,182,182,181,181,179,177,177,174,172,169,167,165,168,185,184,182,185,168,139,127,118,112,106,91,109,174,190,185,184,183,183,179,178,178,177,174,172,170,168,166,167,185,189,194,163,141,127,112,101,93,83,97,180,192,186,187,186,183,183,180,179,179,177,175,172,170,168,167,173,175,194,179,137,143,119,96,88,82,91,162,195,187,188,186,186,184,183,182,180,179,177,175,174,172,169,167,172,173,180,163,141,149,118,87,79,90,173,195,191,190,188,186,185,185,184,183,181,179,178,176,175,171,170,168
23,142,148,151,156,159,160,163,166,168,169,171,172,172,172,174,174,172,172,172,171,171,170,169,170,169,167,165,165,144,149,153,158,161,162,165,167,170,172,172,174,174,175,176,178,175,175,176,175,175,173,173,172,170,169,169,168,145,150,156,160,163,165,167,169,171,174,176,177,178,177,178,178,177,175,178,184,179,174,174,175,175,173,171,170,147,153,158,162,165,167,169,172,175,176,177,179,180,180,178,181,186,173,143,147,176,180,178,177,177,176,173,172,150,156,161,164,168,169,172,174,175,178,179,182,182,181,190,191,192,174,167,133,155,170,178,181,179,178,176,175,153,157,163,167,169,171,175,177,177,181,182,184,184,209,187,182,211,140,147,159,155,98,148,189,180,180,178,176,154,160,164,169,171,174,177,179,181,182,186,182,203,205,165,131,139,69,115,121,96,108,178,186,183,183,181,180,158,163,168,171,173,176,179,181,183,184,187,185,217,192,183,68,110,164,192,188,178,191,189,187,186,185,183,184,159,164,169,172,176,178,180,184,185,188,189,195,219,195,193,91,143,209,188,194,195,188,190,189,187,187,186,185,160,164,170,173,177,179,182,185,188,189,186,198,210,193,190,151,173,190,172,128,172,195,191,191,189,189,188,187,161,166,173,176,179,183,186,187,189,201,195,183,181,184,203,202,204,197,173,79,109,210,191,192,192,190,189,189,163,170,175,178,182,184,187,187,194,220,201,176,161,167,179,167,164,154,138,84,97,212,192,195,196,194,192,190,165,170,176,180,183,186,189,187,201,224,202,169,133,141,191,197,188,170,145,85,79,208,195,198,198,196,195,194,166,171,176,180,184,187,191,189,214,225,206,169,143,140,154,159,167,183,158,84,58,205,200,199,198,196,196,195,166,172,178,182,185,189,191,194,225,227,210,185,184,187,165,133,116,127,117,69,53,198,205,200,201,199,196,196,167,174,181,184,187,191,190,203,231,224,207,185,184,168,184,165,139,123,82,58,44,96,185,214,201,203,199,197,170,175,181,186,188,192,194,220,228,226,210,175,162,126,162,184,146,111,69,48,60,103,95,176,213,202,202,200,170,177,182,187,190,188,207,234,231,223,187,119,107,102,94,135,164,111,54,45,59,94,55,40,193,209,203,203,171,178,184,187,191,191,228,240,227,198,172,133,84,57,45,167,196,93,53,38,56,71,51,24,129,220,201,204,172,179,184,190,187,221,245,234,215,183,169,137,88,55,124,176,150,74,41,47,66,70,50,35,155,216,203,205,173,179,185,187,198,246,241,227,199,182,168,124,80,58,107,108,88,51,29,60,80,65,49,144,217,208,207,206,175,181,187,183,225,251,233,219,197,182,155,119,74,32,37,41,57,52,46,63,62,77,176,222,210,210,210,208,176,182,186,198,249,241,232,209,186,170,145,103,67,41,58,69,77,71,63,44,118,204,221,210,213,210,211,211,176,181,183,241,248,228,215,194,176,158,126,88,64,52,77,86,86,68,54,147,226,219,212,213,213,212,212,212,175,177,204,255,232,214,199,177,159,137,112,84,62,59,81,78,60,43,163,233,217,217,217,215,213,213,213,212,187,178,225,251,224,204,190,170,147,128,106,82,57,58,73,49,57,175,229,218,220,219,217,217,215,214,213,213,39,128,254,230,217,190,163,157,138,112,93,65,48,41,45,95,200,232,221,221,220,219,218,218,217,215,215,214,0,113,230,212,210,173,163,149,97,78,54,27,25,86,160,226,227,219,221,221,220,219,219,219,218,216,214,215
1,67,69,73,76,86,101,112,117,120,124,130,133,136,139,145,145,146,148,149,150,152,153,154,154,154,156,155,156,67,70,74,78,88,103,114,119,122,127,132,135,139,150,133,148,150,149,149,150,151,153,154,154,154,154,154,154,68,72,75,79,91,106,117,122,125,132,135,136,150,173,102,126,142,151,151,151,152,153,153,154,154,154,154,154,69,72,76,79,93,109,120,125,129,134,145,139,143,180,99,110,114,133,159,155,155,154,155,155,154,155,154,154,70,73,77,81,95,111,122,127,133,135,171,147,114,179,98,113,126,102,164,159,159,159,159,158,157,157,157,156,71,75,78,81,97,114,125,129,137,138,175,153,107,167,97,107,135,87,158,165,163,163,163,163,161,161,160,160,72,75,79,84,101,116,127,131,139,140,178,155,97,162,113,107,140,89,151,172,167,167,168,167,166,165,164,163,73,76,80,87,104,120,129,134,143,148,170,158,90,140,112,109,153,96,142,179,171,173,172,171,170,169,168,167,73,77,80,88,108,123,132,134,156,154,147,159,88,121,111,98,148,95,139,184,175,176,176,175,174,173,172,171,74,78,80,91,111,125,135,133,178,147,138,156,89,135,122,96,166,111,137,188,178,180,180,179,178,177,177,176,75,79,81,93,113,128,136,137,184,132,133,168,96,129,122,97,174,124,132,191,182,184,184,182,181,181,181,179,77,80,81,95,116,131,138,143,186,124,120,168,91,100,111,97,169,127,123,195,185,186,186,185,185,184,183,182,78,82,83,97,118,133,140,149,190,130,98,157,97,100,110,126,153,117,118,196,188,190,189,189,188,186,186,185,78,81,84,100,121,136,142,152,196,140,80,170,162,130,131,145,132,94,109,196,191,192,192,190,189,189,190,189,78,80,84,103,124,139,144,155,193,131,112,145,135,124,128,121,117,116,95,188,196,194,194,194,193,192,191,191,78,80,85,105,126,141,146,160,197,153,144,113,106,125,128,107,126,148,118,144,204,195,197,197,196,196,195,195,79,80,86,107,127,144,146,169,203,160,131,104,116,111,133,145,164,174,162,111,166,205,197,198,197,197,198,198,79,81,87,111,130,147,147,178,205,155,119,102,117,126,160,199,173,174,178,116,100,197,201,200,199,200,199,197,79,81,88,113,133,149,149,182,207,155,114,108,124,137,178,200,204,181,145,98,90,182,208,201,200,201,206,210,80,81,90,116,136,151,152,179,212,163,114,112,129,152,185,197,201,175,130,93,94,195,205,204,213,208,180,135,80,81,92,118,138,153,153,176,209,173,127,112,137,160,192,202,194,164,126,90,106,207,209,203,154,102,64,49,80,81,94,120,141,155,157,175,207,188,144,116,140,158,196,204,181,153,122,86,122,222,192,100,49,46,52,50,79,79,95,122,141,155,158,172,198,190,156,124,136,159,196,196,175,145,115,79,152,188,83,58,60,38,54,53,77,78,96,123,143,155,158,169,185,189,164,136,138,157,192,187,167,136,108,84,116,72,41,54,69,38,37,60,77,78,98,125,146,157,160,171,178,186,170,148,146,144,183,175,159,125,101,82,72,61,56,35,59,55,27,46,72,74,96,126,147,159,163,173,179,183,171,152,148,134,163,162,144,113,94,75,80,66,54,35,38,63,33,31,88,88,104,128,146,157,162,172,181,181,171,157,150,136,138,153,132,106,84,70,80,67,47,40,28,50,48,24,113,114,113,111,115,120,124,127,128,140,179,161,153,138,126,141,125,100,74,66,76,57,56,37,28,37,55,27
8,194,194,194,194,195,193,199,167,138,197,193,194,194,193,192,190,190,189,187,186,185,184,183,182,180,179,178,176,196,195,195,195,195,195,193,144,96,195,196,195,195,196,195,193,193,191,190,189,188,187,186,184,182,181,180,178,197,196,197,197,197,199,183,116,107,207,197,197,198,197,196,196,194,194,193,192,191,189,188,186,185,183,182,181,200,199,199,200,200,196,171,88,145,212,197,199,200,200,199,197,196,197,196,194,192,192,190,189,188,186,185,183,200,201,200,201,202,196,151,74,188,205,200,200,200,201,201,199,199,199,197,196,194,194,193,191,190,188,188,185,202,202,202,203,202,197,147,83,199,204,203,206,208,202,201,200,199,200,199,197,196,196,195,194,193,190,189,187,204,203,203,203,204,194,135,89,206,206,204,180,166,208,206,204,206,201,201,199,194,199,195,196,195,192,191,189,205,205,205,206,206,188,126,82,204,208,192,159,109,140,166,129,174,210,201,203,153,179,201,196,196,195,193,191,207,207,207,207,207,191,164,95,181,209,188,178,144,85,121,115,96,172,137,154,161,125,212,197,197,196,195,193,207,207,208,208,209,194,182,119,158,207,186,194,156,99,95,121,100,155,126,96,163,124,154,213,198,197,195,194,208,208,209,209,210,200,176,143,146,175,181,198,163,104,81,100,132,160,116,80,145,156,95,157,205,199,197,195,209,211,210,209,210,204,186,178,157,156,139,181,165,116,75,75,142,148,100,66,114,173,135,87,159,209,196,196,211,213,211,211,212,204,200,171,144,135,133,149,173,119,67,70,147,133,93,49,110,186,145,75,151,212,197,197,212,213,214,212,214,206,187,146,118,101,102,117,188,153,89,76,148,118,71,33,153,187,118,79,200,203,199,198,213,214,214,214,214,203,190,165,135,96,83,68,171,201,129,81,149,108,48,76,165,166,83,137,216,200,201,200,214,215,214,214,215,197,192,178,137,89,85,79,161,189,131,88,125,113,125,133,168,123,75,196,208,204,202,201,215,215,215,215,214,192,198,179,133,101,81,98,189,145,76,103,133,144,150,114,133,83,104,220,203,206,203,201,215,215,216,216,214,197,198,172,144,108,89,111,170,160,156,180,173,151,140,94,91,53,166,217,206,206,204,202,215,216,217,217,213,198,195,179,147,103,100,151,196,196,207,193,166,147,123,82,48,123,218,207,208,206,206,204,216,215,215,216,213,190,195,187,146,108,121,183,202,202,202,180,156,133,106,50,109,220,211,210,209,208,206,205,214,214,216,217,214,191,188,183,155,118,140,191,197,210,195,166,143,121,64,92,217,212,209,209,208,207,205,203,216,216,217,217,217,197,189,181,157,118,147,186,182,188,170,148,128,80,77,207,214,209,208,208,208,207,204,202,217,217,217,218,217,197,192,184,153,129,146,181,169,165,138,121,82,63,195,219,209,211,209,209,208,207,206,202,216,216,216,218,215,198,188,174,158,145,144,176,163,147,123,79,54,182,224,212,215,214,210,209,206,206,205,206,216,216,215,217,209,195,185,179,175,155,144,166,150,124,91,54,175,224,213,216,214,213,209,209,210,212,216,192,221,223,224,227,200,192,188,187,173,154,155,164,134,96,52,159,234,214,219,217,215,220,221,213,198,181,141,89,148,153,157,160,174,200,197,190,171,156,157,148,113,69,81,204,202,205,205,207,207,184,140,107,78,64,48,48,101,102,104,97,163,207,195,179,164,158,140,127,100,61,78,109,114,118,118,118,104,73,48,48,43,42,48,42
8,170,172,173,173,173,174,174,175,175,174,173,173,173,171,170,170,169,168,167,166,166,164,162,161,160,157,156,155,172,173,174,175,175,175,176,177,177,177,176,174,174,173,172,172,171,169,168,166,166,166,165,163,161,159,157,156,174,174,175,177,176,177,179,179,178,178,178,177,177,176,175,174,173,172,171,169,167,167,166,164,163,161,158,157,174,175,177,179,165,135,176,180,180,180,180,179,178,177,177,175,174,174,173,171,170,169,168,166,165,162,159,158,176,177,178,180,146,97,161,181,181,181,181,180,180,179,179,177,176,175,175,173,171,171,169,168,166,164,162,159,177,179,180,178,125,88,161,184,184,183,183,182,181,180,180,180,179,176,176,175,174,172,171,169,167,166,165,162,179,180,182,175,116,84,174,186,186,186,184,184,183,182,182,180,172,164,172,173,162,173,172,170,168,167,166,164,180,182,182,170,108,86,183,187,187,186,178,182,185,183,183,179,146,114,107,152,124,162,173,171,169,168,166,165,181,182,182,175,111,84,180,188,187,160,126,124,176,157,135,144,146,120,87,110,113,138,175,174,172,170,168,166,183,184,186,178,118,81,174,188,175,152,133,109,123,137,108,89,138,131,101,73,110,107,173,175,174,172,170,168,183,186,186,175,118,80,150,190,169,163,148,122,100,136,111,91,137,129,99,63,90,85,136,175,174,172,171,169,183,186,187,180,147,108,121,190,162,163,160,128,94,130,124,98,124,115,84,58,79,96,85,160,175,173,171,170,184,186,188,186,169,126,108,173,151,148,164,132,96,111,131,99,99,115,95,59,72,97,76,143,176,174,172,171,185,188,189,189,176,131,127,140,135,125,159,129,99,87,125,101,83,135,115,70,86,103,75,162,177,174,173,172,186,187,190,191,187,167,157,132,132,113,139,129,93,72,116,103,67,126,113,68,101,103,85,176,179,176,174,172,187,187,190,191,192,178,155,127,107,109,124,128,97,71,87,81,46,57,67,80,112,95,106,181,180,178,175,173,187,188,191,192,194,182,140,113,92,86,95,136,127,88,61,57,86,98,98,130,123,83,132,182,181,179,176,174,187,189,192,193,193,180,156,132,104,93,92,136,136,99,78,101,139,143,132,126,113,70,155,183,181,179,177,175,188,190,192,194,194,189,168,139,105,91,88,124,126,102,89,134,152,148,136,102,90,73,175,182,181,179,178,178,188,192,194,195,194,188,173,143,114,99,91,112,146,145,147,164,156,140,125,91,69,122,184,183,181,179,178,178,190,193,195,195,194,186,176,151,127,105,100,113,167,177,178,171,149,129,114,79,74,175,186,184,182,180,180,179,191,193,195,196,195,184,171,152,128,105,107,122,174,173,168,158,135,118,100,67,131,187,187,185,183,181,180,179,192,193,195,196,195,181,167,156,132,109,113,131,168,165,161,146,123,108,87,76,180,189,188,186,184,182,180,179,192,194,196,197,198,187,170,162,135,116,115,137,159,163,156,134,114,96,69,133,191,189,187,187,185,184,181,179,192,194,195,197,198,195,176,168,144,125,111,133,153,152,142,123,100,80,77,183,193,191,188,188,186,185,182,180,192,194,195,197,198,198,186,171,146,126,113,124,143,137,125,105,83,62,145,194,193,191,189,188,186,184,181,180,192,194,195,197,199,198,189,167,146,125,116,120,133,126,109,91,66,112,193,196,194,192,190,188,186,185,182,181,193,194,196,197,199,198,189,163,144,128,123,119,125,121,102,82,75,183,197,196,194,193,190,188,187,185,183,182
6,185,187,190,190,191,190,192,192,190,191,191,189,188,187,187,188,186,185,183,182,180,180,179,179,178,175,172,170,187,188,191,193,194,194,194,194,193,193,194,193,191,188,188,188,186,185,184,184,183,183,183,180,180,177,174,172,187,190,192,194,195,196,197,196,195,194,194,193,192,191,189,190,189,187,186,185,185,184,182,180,179,178,176,175,188,191,194,195,196,198,197,197,199,197,196,196,194,193,192,190,191,190,187,187,187,185,184,182,182,180,178,177,191,193,195,197,199,200,199,198,201,199,197,197,197,195,194,194,195,192,188,184,184,183,184,179,178,176,169,175,193,194,196,200,201,201,202,201,201,201,202,201,199,194,187,182,176,177,173,147,153,168,167,149,164,155,176,207,194,196,198,201,202,203,201,202,200,199,186,176,179,181,173,177,178,179,168,162,153,178,175,157,166,161,166,193,194,197,200,202,202,203,203,201,206,206,176,155,167,180,183,189,190,188,168,147,147,142,143,127,118,119,108,119,196,199,200,202,203,204,204,200,218,215,185,170,158,159,160,154,150,141,131,118,89,89,75,96,131,137,158,174,198,200,202,203,204,205,206,204,228,220,203,184,163,148,142,133,126,114,97,73,44,30,46,176,198,192,191,186,200,201,203,203,206,208,204,217,233,226,215,175,138,133,141,149,145,138,125,117,113,64,147,201,186,187,186,184,201,202,205,204,207,209,203,228,237,232,202,140,116,127,132,145,149,145,133,123,125,81,157,201,191,190,188,185,201,204,208,207,209,206,207,238,231,228,167,124,133,127,115,122,142,126,119,119,104,62,166,200,193,191,188,187,203,204,208,208,211,201,219,237,228,227,191,173,150,131,104,114,145,133,129,131,100,93,202,195,194,193,190,188,203,206,208,210,208,207,232,231,231,233,229,211,159,129,140,148,146,134,121,107,107,88,178,201,194,193,190,188,204,208,208,212,202,220,234,233,233,227,227,215,148,116,127,132,134,126,108,99,97,66,177,201,195,194,192,189,204,207,209,207,203,226,232,235,228,222,217,194,146,122,114,104,112,118,115,107,76,103,203,197,196,196,192,188,202,203,209,192,212,229,231,231,221,214,207,203,181,157,113,76,96,118,112,108,69,153,207,194,196,193,188,191,202,208,199,187,226,230,230,224,223,223,211,205,214,188,127,100,121,140,122,99,83,94,201,195,193,193,200,177,205,210,186,205,226,228,226,224,228,219,205,216,214,170,112,99,109,106,95,82,63,89,201,200,204,196,133,57,207,195,197,220,223,223,219,214,208,204,204,212,188,141,106,103,97,85,74,68,78,177,211,189,134,70,22,15,202,188,212,217,222,213,204,198,190,195,191,172,145,116,102,87,75,123,136,158,185,163,107,51,15,12,14,13,188,198,215,215,217,203,190,187,183,180,175,148,124,110,115,98,131,169,135,108,65,29,0,0,4,11,7,5,176,212,212,212,200,187,173,168,179,171,159,145,133,112,84,51,44,18,5,1,4,14,0,0,0,3,1,2,194,216,212,207,195,184,167,158,158,149,135,124,99,66,33,9,0,3,1,7,11,2,0,0,0,0,0,0,210,213,210,200,188,165,144,142,131,110,95,78,50,20,8,19,0,0,0,0,6,0,0,0,0,0,0,0,215,212,207,203,171,132,130,125,114,96,59,32,13,2,1,15,0,0,0,0,0,0,0,0,0,0,0,0,215,210,205,195,137,123,146,131,103,75,23,10,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0
5,126,131,135,138,143,148,152,156,158,161,162,162,166,167,168,169,170,170,169,169,168,167,167,167,166,165,164,163,127,132,136,138,144,150,154,157,159,168,167,135,167,169,170,170,171,171,171,171,170,169,168,168,167,166,166,165,128,134,137,141,146,151,156,158,159,187,158,126,167,171,171,171,172,172,172,172,171,170,170,170,169,167,167,166,129,135,138,141,147,152,156,159,164,203,130,140,170,172,172,173,173,173,173,173,173,166,170,170,170,169,168,167,130,136,139,142,147,153,158,161,185,201,117,158,172,173,174,175,174,174,176,183,188,135,158,172,171,170,168,168,131,137,139,153,150,150,158,159,205,192,121,168,173,174,175,177,176,182,204,187,157,127,165,174,172,171,170,169,132,138,140,180,156,128,160,162,219,179,125,172,175,176,177,178,188,217,190,136,133,165,174,174,174,173,171,170,133,139,140,188,150,124,161,166,224,166,126,174,177,177,178,189,216,195,146,128,169,177,176,175,174,174,172,172,134,141,141,202,144,129,163,173,221,158,121,175,177,179,188,212,185,140,134,171,180,179,178,177,176,175,174,172,136,142,143,202,152,123,164,178,214,165,114,173,179,182,206,193,131,125,172,181,181,179,179,178,177,177,175,173,136,143,143,194,172,118,162,173,212,164,110,167,181,187,195,155,118,158,183,182,182,181,181,179,179,178,177,176,137,144,146,177,193,126,137,167,205,165,103,148,173,167,151,128,137,180,182,182,185,183,181,179,173,176,178,177,139,144,147,163,201,165,148,140,182,178,124,108,123,127,120,122,169,176,201,205,204,204,195,179,135,149,180,177,140,145,148,156,177,186,177,161,157,167,130,106,107,111,115,141,157,182,177,171,181,194,181,164,137,119,167,180,141,146,149,155,161,169,186,197,202,180,134,104,101,105,121,129,131,144,126,122,188,196,162,140,124,122,164,181,141,147,148,155,163,166,172,205,223,201,148,104,101,102,112,119,114,105,132,177,205,167,128,137,168,179,183,182,143,147,150,156,163,169,173,190,222,214,161,110,99,97,102,108,101,134,187,188,187,133,120,180,187,186,185,184,144,148,151,158,164,170,174,178,212,223,183,126,98,96,94,92,89,138,170,177,182,128,146,190,188,187,187,185,145,149,152,159,165,170,175,178,204,228,199,148,104,92,91,99,112,138,151,170,170,122,166,191,190,188,187,186,144,149,151,159,164,168,174,179,191,233,214,171,119,93,92,102,115,144,161,158,156,119,175,191,190,189,188,186,143,148,151,157,164,169,173,178,187,236,225,191,139,99,94,102,126,156,160,138,131,114,178,191,190,188,187,186,143,148,151,158,165,172,176,179,187,235,228,202,156,110,94,107,137,160,153,123,115,135,190,193,192,189,188,187,145,150,151,159,165,171,175,179,185,229,230,207,174,126,101,102,141,154,145,115,113,182,194,194,192,190,189,188,144,150,152,158,165,172,175,179,184,217,231,210,186,146,114,101,131,145,132,112,126,194,195,194,193,191,189,188,141,147,150,157,163,170,175,180,181,211,226,221,198,169,129,108,111,131,121,109,154,195,194,193,193,190,189,189,135,139,142,146,149,153,155,159,158,203,231,231,207,174,135,115,107,120,111,110,153,161,160,160,160,159,159,158,105,106,106,108,106,105,106,107,105,188,236,231,203,163,131,117,109,111,109,104,100,99,97,98,98,97,99,140,109,109,109,109,110,108,110,111,109,183,231,222,184,139,121,113,110,112,109,103,102,101,100,100,98,108,174,207
15,121,133,145,150,152,158,168,176,182,189,194,199,203,205,209,213,216,221,223,227,230,232,234,235,238,239,240,241,124,134,146,151,153,158,169,177,183,190,195,199,203,206,210,213,218,221,224,228,232,234,235,237,240,241,242,243,125,136,147,151,155,162,170,178,185,192,197,199,203,207,212,216,221,223,229,231,233,234,238,240,241,242,243,245,127,138,150,154,157,165,172,180,186,191,196,201,205,210,213,218,221,225,230,231,232,235,239,241,242,242,244,246,126,139,148,152,157,163,171,181,187,192,198,202,205,210,214,217,222,224,228,231,235,237,240,242,242,243,245,246,139,146,159,161,163,174,181,186,182,187,192,196,204,210,214,217,222,229,233,232,236,240,241,244,245,245,246,248,180,165,172,174,176,190,200,202,208,205,194,191,193,194,207,208,200,201,213,235,240,239,243,246,246,247,247,249,158,133,141,152,170,189,193,205,226,217,205,207,212,222,216,217,218,189,169,158,217,248,241,246,246,248,249,250,118,115,125,129,138,154,163,183,217,227,225,226,226,231,236,217,212,235,176,137,123,206,253,244,247,249,249,250,134,149,154,152,155,159,166,168,179,197,216,242,246,208,212,222,174,245,175,139,158,131,206,254,243,249,248,249,132,145,153,155,163,172,176,189,178,155,164,171,205,201,177,190,162,250,180,125,178,186,112,214,250,246,248,250,135,147,154,155,162,168,176,213,168,142,130,145,185,196,152,145,152,201,176,151,176,188,125,113,244,248,247,248,134,148,153,155,163,165,193,231,143,127,141,166,203,193,157,142,154,140,141,159,180,163,113,81,149,255,244,248,135,148,153,156,162,169,187,246,161,127,166,182,199,183,151,145,147,146,145,164,182,178,117,87,78,177,255,251,136,148,155,155,163,167,208,251,244,195,167,149,155,146,124,125,128,141,160,174,179,174,128,92,89,83,160,247,135,147,153,156,162,165,223,253,236,248,212,142,78,72,74,66,73,100,139,163,156,147,118,103,103,94,80,123,135,147,152,155,163,168,198,249,239,216,225,237,134,35,49,40,46,56,94,149,158,150,139,136,120,105,98,88,121,128,135,140,146,149,156,224,243,213,204,245,146,59,50,43,57,48,90,166,179,176,168,159,138,113,102,101,95,99,101,100,105,100,114,246,231,209,194,191,100,68,54,48,62,59,76,141,169,173,171,160,140,116,100,107,106,106,107,108,111,111,113,212,249,218,171,161,135,74,56,59,63,74,87,105,135,148,156,150,137,115,104,106,107,105,107,110,110,114,110,125,183,206,185,169,158,99,66,67,62,73,92,97,112,140,146,138,122,115,111,107,107,108,109,110,111,113,115,112,113,121,123,123,113,104,78,72,61,67,90,103,92,120,136,132,121,117,114,113,107,107,110,111,111,110,113,114,114,117,116,115,114,121,116,98,96,89,102,119,107,107,125,120,115,107,109,113,106,106,107,110,112,112,115,115,115,119,120,120,122,133,139,159,154,132,152,163,170,158,149,141,114,101,118,123,106,106,107,108,111,113,114,114,115,117,118,119,120,119,118,151,141,169,205,207,198,190,170,154,127,124,147,144,105,106,107,108,111,113,113,113,115,118,118,119,120,121,118,117,118,138,168,183,190,164,142,127,136,147,150,170,105,107,108,108,110,111,114,114,115,116,116,117,118,117,119,120,122,123,115,133,147,128,145,156,147,135,153,187,105,106,108,109,109,109,112,113,113,113,114,115,116,117,118,120,120,121,122,122,119,139,166,169,135,144,165,189
2,149,163,171,172,177,182,187,192,196,199,201,199,203,209,213,209,217,220,222,219,220,223,223,222,223,224,224,225,152,165,172,173,180,185,188,194,196,195,201,226,247,244,228,224,226,194,167,220,218,217,225,221,222,223,223,222,153,165,173,177,182,188,193,193,206,228,243,228,198,176,136,134,160,131,95,144,154,132,206,226,221,222,222,221,155,166,173,177,184,192,190,208,255,254,192,147,126,123,106,100,104,104,107,112,99,100,204,228,221,221,222,222,158,169,176,179,187,190,214,255,244,174,105,89,95,95,93,97,93,85,108,126,143,205,227,221,221,221,221,220,160,172,178,182,190,194,255,253,151,108,91,74,94,83,81,88,94,133,204,225,230,228,225,224,224,225,223,222,164,174,179,187,191,212,255,209,113,91,87,88,99,81,96,92,193,237,231,229,228,228,228,229,225,224,226,224,167,177,182,190,191,228,255,188,114,88,79,91,86,91,92,130,245,233,233,234,233,234,235,230,236,204,221,229,170,180,185,193,192,252,255,156,92,80,82,80,74,89,83,198,247,238,239,238,240,241,234,239,241,169,223,236,174,184,188,196,195,255,255,157,114,99,98,82,84,84,128,252,242,243,243,243,243,243,241,254,203,148,241,238,178,188,191,195,211,255,251,170,127,109,95,87,107,90,177,255,244,248,248,247,247,243,243,241,162,171,255,241,181,190,196,197,243,255,245,172,122,108,88,91,103,87,212,255,249,252,253,251,255,236,228,220,131,182,255,245,186,193,197,201,255,255,239,166,120,106,88,90,94,89,223,255,254,255,254,255,252,222,229,193,117,170,255,249,188,195,201,203,255,255,233,160,120,101,90,84,97,103,164,252,249,255,255,255,234,235,229,177,111,206,255,253,190,197,204,204,251,255,234,172,129,104,89,88,108,130,123,151,175,181,221,223,228,236,226,154,160,255,255,255,193,200,207,206,255,255,234,176,133,110,90,94,128,143,141,160,182,184,165,199,234,226,186,137,254,255,255,255,197,201,209,210,255,255,234,182,141,114,89,104,136,134,142,169,190,204,200,187,217,205,131,214,255,255,255,255,200,204,212,214,255,255,234,187,152,119,93,111,135,136,167,189,200,189,187,171,174,145,167,255,255,255,255,255,202,207,217,216,255,255,234,193,160,123,99,115,141,157,191,195,190,175,158,150,133,115,255,255,255,255,255,255,206,210,218,223,255,255,230,199,169,126,106,119,143,165,182,187,174,160,145,126,108,219,255,255,255,255,255,255,208,212,221,224,255,255,226,208,180,130,120,122,141,165,170,176,166,150,127,133,244,255,255,255,255,255,255,255,212,214,225,225,255,255,232,220,183,138,129,122,145,161,167,167,159,129,148,255,255,255,255,255,255,255,255,255,214,218,226,229,255,255,240,219,177,144,137,124,152,156,158,157,132,131,255,255,255,255,255,255,255,255,255,255,217,221,230,237,255,255,237,209,174,153,143,124,146,147,142,124,136,255,255,255,255,255,255,255,255,255,255,255,220,223,230,245,255,255,245,212,175,153,140,127,136,143,109,167,255,255,255,255,255,255,255,255,255,255,255,255,221,226,231,254,255,255,255,212,170,146,135,126,136,113,162,255,255,255,255,255,255,255,255,255,255,255,255,255,223,227,234,255,255,252,237,196,150,133,126,129,122,140,255,255,255,255,255,255,255,255,255,255,255,226,155,104,225,230,236,255,255,244,235,197,144,132,134,140,110,214,255,255,255,255,255,255,255,255,255,197,128,83,73,75
1,39,62,67,75,85,103,115,125,130,134,137,139,142,147,151,152,153,157,158,158,160,161,161,163,164,164,165,165,44,62,68,76,86,107,117,125,131,135,139,141,143,148,150,163,137,123,162,162,161,163,164,165,165,165,165,165,50,62,70,77,88,108,118,126,132,136,140,143,147,151,152,175,125,90,143,141,165,164,166,166,166,166,166,166,55,64,71,79,91,111,119,127,133,138,142,143,147,157,137,171,123,107,136,102,166,166,166,168,168,168,167,167,57,64,72,80,93,113,122,129,134,139,143,145,150,168,116,162,119,119,146,97,160,168,168,169,169,169,169,169,59,66,72,81,96,115,124,130,136,141,144,144,160,161,114,167,122,122,148,94,154,171,169,170,171,171,171,170,61,68,73,82,98,116,124,132,137,141,145,146,166,150,107,162,118,124,154,100,152,173,172,172,172,173,172,172,63,68,74,84,101,118,126,133,138,141,158,141,149,140,110,164,119,123,148,97,151,175,174,174,174,174,174,174,63,68,75,85,104,117,127,135,139,143,169,114,147,128,131,169,114,126,158,97,149,176,174,175,175,175,176,175,64,70,77,86,106,118,127,136,138,154,164,100,150,115,152,164,105,143,170,100,151,178,176,176,177,177,178,178,65,70,78,88,109,119,127,136,137,171,148,102,162,115,141,140,89,149,158,97,155,179,178,178,179,179,179,179,66,71,79,90,109,121,129,137,140,180,131,99,153,96,129,125,85,159,150,91,161,180,179,179,180,180,180,180,66,73,81,92,111,121,130,136,148,183,124,91,140,132,132,139,153,163,145,90,165,180,181,182,180,181,181,181,68,74,81,94,113,122,132,135,164,176,119,111,147,170,134,144,154,149,131,88,168,181,182,182,181,182,181,182,69,74,82,96,115,124,132,134,178,177,160,150,168,169,162,152,135,127,113,86,167,182,182,182,184,184,184,184,69,75,83,97,116,125,132,141,190,163,150,149,143,134,175,177,163,136,107,83,168,183,183,184,185,185,185,185,71,77,83,98,116,125,131,161,190,145,121,113,100,98,167,171,165,149,119,82,168,183,183,185,185,186,186,186,71,77,85,101,119,126,130,176,180,140,133,138,127,161,185,175,151,133,107,71,153,188,186,186,186,187,188,187,71,78,85,104,120,126,131,181,185,155,135,140,165,207,191,165,143,108,89,67,121,192,187,187,188,188,188,188,71,78,86,104,119,127,133,179,197,169,145,142,172,213,195,161,135,100,77,67,106,192,187,188,189,189,189,189,72,79,86,105,118,127,133,171,198,169,152,146,167,204,186,159,125,99,74,63,131,193,188,190,189,189,190,190,73,81,89,107,120,129,135,163,195,168,158,149,156,191,178,149,117,95,75,74,173,192,190,190,191,191,192,192,73,80,89,108,120,129,137,153,190,174,169,158,168,185,160,132,107,88,69,115,193,191,192,192,193,193,193,193,73,81,90,110,120,129,138,146,177,173,167,155,167,171,144,119,101,84,68,157,193,192,192,193,194,194,194,194,74,81,90,111,122,132,139,143,166,170,163,151,143,147,134,113,101,81,77,178,193,193,194,195,195,195,195,195,73,79,89,108,119,130,138,142,154,167,161,150,141,142,138,122,101,74,93,187,190,191,193,194,195,195,194,194,72,78,88,108,116,127,137,143,156,172,168,159,151,141,138,126,96,70,116,192,189,190,192,193,193,194,194,194,71,77,89,108,117,128,137,142,184,172,165,168,153,138,121,111,92,63,119,193,188,190,192,194,194,194,195,195
19,205,206,208,210,210,211,214,214,215,215,216,215,214,214,213,215,216,212,212,211,211,210,209,208,207,206,205,206,206,208,209,212,213,214,216,217,216,216,216,217,216,214,214,194,196,217,213,212,213,213,213,212,209,209,207,207,207,209,212,214,216,217,217,218,219,218,219,218,215,226,220,173,122,201,219,213,214,214,214,213,211,209,207,209,208,210,214,215,217,218,218,219,218,218,219,220,215,238,218,179,115,166,228,214,215,215,214,214,212,210,211,210,210,213,216,216,217,219,221,222,220,220,221,221,218,242,213,182,117,153,229,214,216,216,216,215,213,212,212,212,212,215,216,219,221,221,223,223,224,222,223,222,223,241,200,171,108,146,232,216,219,217,215,213,215,213,214,213,214,217,219,222,223,222,224,223,224,224,224,222,228,241,185,144,104,149,230,210,214,207,221,228,199,215,215,215,215,218,221,222,223,224,224,224,224,224,224,221,227,235,198,174,193,213,220,206,227,207,251,255,154,214,215,216,216,219,221,222,225,228,227,226,225,225,230,233,231,222,222,220,240,243,227,211,226,216,203,183,164,223,216,216,218,221,223,225,227,227,227,226,234,242,249,255,250,230,206,197,197,196,182,162,153,152,150,170,216,220,220,219,222,224,224,227,226,235,237,232,247,255,254,245,227,215,205,195,155,116,139,160,183,197,219,227,222,221,221,219,223,224,226,227,234,255,245,239,237,236,236,232,233,232,231,236,180,118,224,230,232,229,225,222,222,221,221,219,224,225,230,226,243,255,249,245,236,239,246,247,243,235,231,219,170,103,213,229,224,225,226,224,223,222,221,221,225,228,231,229,240,255,246,238,243,251,250,252,242,228,223,202,150,90,169,239,225,229,226,225,224,224,222,222,227,230,231,230,240,255,232,227,235,245,249,234,223,233,240,239,173,95,116,232,230,229,228,227,225,225,223,223,229,231,234,231,249,241,223,225,225,212,211,235,251,241,232,243,174,98,92,210,236,230,229,228,228,227,225,224,229,233,235,234,248,224,225,231,227,212,237,250,233,221,223,214,156,104,80,189,242,230,230,231,229,229,228,227,229,233,236,235,240,241,247,244,249,255,251,236,227,220,206,180,132,99,78,208,238,231,232,232,231,231,229,228,231,234,237,237,235,255,255,244,241,243,241,227,208,203,220,228,179,81,151,244,232,233,232,234,233,232,230,229,232,234,237,240,234,249,255,235,227,218,187,179,222,247,246,246,204,96,186,247,233,235,233,234,233,232,232,231,232,236,238,240,240,232,247,229,221,210,204,231,255,236,210,205,179,99,130,249,235,237,234,236,234,232,231,231,233,236,239,241,243,236,235,251,249,240,247,248,229,209,196,183,147,78,166,251,236,238,237,236,234,233,232,231,233,236,239,241,246,240,232,253,252,227,225,226,212,194,172,134,127,172,234,242,239,239,239,237,236,234,235,232,233,236,238,242,246,241,229,238,239,212,212,203,181,157,119,85,210,255,240,241,240,239,239,238,237,236,235,233,233,235,238,240,243,240,221,231,227,198,187,167,141,117,101,89,191,250,238,239,239,238,237,237,235,235,235,233,234,237,239,241,244,243,216,219,219,189,173,170,153,109,103,89,136,254,239,241,240,238,236,237,236,236,235,233,235,238,240,243,245,243,218,211,209,187,163,145,127,105,102,88,134,254,240,241,240,238,237,238,238,236,234,233,236,239,241,243,246,240,218,219,203,199,172,141,116,109,105,87,144,255,241,242,241,239,239,239,238,237,236,235
12,176,177,179,181,182,182,183,185,186,187,187,186,185,185,185,184,183,184,183,182,182,181,181,181,180,178,178,179,178,178,181,182,183,184,185,187,188,187,187,187,187,187,187,186,186,184,185,184,183,183,182,181,180,180,179,179,179,180,182,183,185,186,187,188,189,188,189,189,188,188,188,188,188,186,186,185,184,184,183,183,182,182,181,180,181,181,182,184,187,187,188,189,190,190,189,190,192,191,190,190,190,192,188,186,186,186,186,185,184,183,183,182,181,182,184,185,188,188,189,191,193,192,191,191,188,192,194,189,176,168,187,192,191,189,187,188,185,184,184,183,182,184,186,187,189,190,191,192,193,193,195,193,166,142,184,195,161,105,128,189,167,182,193,186,187,187,186,185,184,186,188,189,191,194,194,195,195,193,203,206,168,119,121,193,146,122,89,148,135,102,158,193,187,188,187,186,186,188,189,192,193,194,196,195,194,192,203,197,154,117,98,193,155,133,94,132,139,95,90,181,190,187,188,188,188,188,191,194,194,194,194,196,204,165,171,196,145,107,93,205,197,148,114,129,129,103,83,168,195,188,189,189,189,190,192,193,195,196,195,220,209,172,137,188,184,111,83,225,218,139,119,168,144,108,81,176,196,189,191,190,190,192,194,195,197,196,207,237,210,184,119,183,219,120,94,170,166,97,147,197,142,97,83,185,196,193,192,191,191,194,194,195,199,195,214,224,209,179,119,136,180,120,104,116,153,135,162,161,103,70,105,201,194,195,194,193,193,195,195,197,198,200,231,213,182,146,116,81,94,94,114,131,177,206,171,133,108,72,163,204,195,196,195,194,193,195,198,200,196,223,228,207,155,117,107,80,54,129,203,199,190,177,153,141,141,87,174,203,196,197,195,195,194,196,198,201,196,227,233,192,149,149,116,60,118,218,216,205,183,171,142,134,128,88,178,206,198,198,196,196,195,196,200,202,199,231,234,185,146,171,127,120,204,227,217,204,182,163,147,126,110,85,192,203,201,200,198,198,196,197,200,201,203,238,232,200,188,161,167,193,223,223,214,197,179,155,143,119,98,78,187,206,201,201,199,199,196,199,201,202,207,238,232,213,207,173,167,199,224,217,203,193,169,144,132,112,93,72,180,210,202,202,200,200,199,200,202,204,206,235,232,219,210,179,177,206,213,206,190,181,157,137,123,103,85,71,192,208,203,204,202,201,199,201,202,205,206,230,230,223,209,183,169,199,200,192,186,172,145,125,109,97,65,126,213,203,205,204,203,202,200,201,203,205,203,226,228,222,207,174,164,182,186,184,174,159,131,113,104,78,109,209,207,205,206,205,204,203,200,202,202,209,212,219,224,220,187,154,166,179,183,187,171,148,131,116,89,110,208,209,206,206,206,205,205,204,200,200,208,188,172,219,211,197,178,174,181,179,191,189,166,136,129,106,81,192,215,208,208,207,207,206,206,204,201,201,214,135,63,194,224,203,199,189,172,165,189,178,143,123,119,77,153,219,209,210,209,208,208,207,206,205,201,208,185,111,93,106,194,206,195,180,162,150,172,151,124,115,85,119,221,211,212,210,211,210,209,208,207,207,200,214,143,96,116,71,91,122,116,111,108,112,131,120,109,91,85,207,216,211,211,211,212,211,211,209,208,208,204,197,113,100,111,86,44,77,72,68,59,56,56,64,71,54,81,199,216,212,212,212,211,211,210,208,209,208,209,156,100,103,107,97,35,61,74,70,61,59,55,52,47,43,31,153,224,210,213,211,211,210,209,208,209,207
7,122,123,123,124,123,123,122,122,122,123,123,123,124,123,122,121,121,121,112,30,14,36,50,52,72,92,104,123,124,125,127,126,126,125,125,125,126,125,126,125,124,124,124,124,123,127,92,21,29,51,46,48,70,89,108,125,128,128,128,128,129,129,129,129,130,129,129,129,128,128,126,126,124,130,70,18,35,43,47,42,65,94,113,127,130,130,131,130,131,131,131,130,132,131,130,127,126,128,125,124,121,125,99,72,87,45,39,57,72,104,120,121,133,134,134,134,134,133,133,134,134,133,135,126,113,126,133,125,112,114,106,123,154,77,33,57,82,116,121,114,136,136,136,136,138,137,135,137,143,148,144,131,120,127,127,124,115,110,105,101,131,82,48,69,98,125,122,112,139,140,139,138,138,139,146,153,156,153,145,132,132,128,100,107,126,118,118,108,107,92,91,125,113,127,129,117,143,142,143,142,137,143,151,151,147,142,141,141,135,125,107,113,129,119,117,112,92,87,76,102,98,125,134,130,144,142,159,156,146,145,147,144,144,145,142,142,136,118,114,106,95,83,77,76,65,62,68,69,74,123,133,138,144,148,169,157,141,138,144,146,145,143,137,129,119,103,92,82,79,83,94,93,74,127,122,103,77,123,130,139,147,153,166,154,128,125,135,137,135,121,100,86,67,63,92,133,142,141,151,127,98,161,103,130,86,117,129,134,148,157,161,145,122,126,128,112,95,74,82,107,78,80,87,69,137,148,145,139,125,90,83,152,88,103,127,125,149,159,159,144,144,141,128,116,109,117,120,117,111,107,116,57,82,157,143,145,143,95,132,157,93,82,124,119,153,161,161,164,169,149,118,121,126,125,118,107,104,103,98,56,78,158,146,147,144,139,126,142,118,76,116,121,155,162,163,170,169,144,111,111,109,102,103,98,93,87,70,63,145,152,149,148,146,144,153,142,131,115,119,123,157,163,166,168,154,133,121,112,91,73,79,91,88,85,72,80,157,151,150,150,150,148,128,95,100,124,121,123,163,166,165,159,145,137,138,141,114,91,102,116,109,95,92,80,123,160,152,150,151,156,125,91,111,119,119,124,166,169,162,153,145,136,148,148,113,91,98,101,93,82,82,62,122,161,152,153,153,155,148,115,130,113,118,123,166,167,161,153,144,146,159,141,109,91,92,90,87,81,65,78,154,157,156,155,153,152,153,130,123,116,110,120,164,166,160,150,149,154,149,126,99,84,74,69,61,49,65,141,162,156,156,155,154,154,155,139,125,122,107,112,161,161,154,148,150,141,126,110,97,88,68,47,59,95,144,165,158,158,156,156,155,155,157,145,126,131,114,98,156,155,150,147,146,133,120,113,102,87,93,135,152,168,164,161,159,159,158,159,157,156,158,146,125,135,129,109,152,150,149,144,142,134,125,114,85,66,152,172,164,162,160,161,161,160,160,160,159,156,158,146,122,132,131,121,150,142,144,143,130,123,115,90,54,116,174,163,164,164,163,162,162,161,160,160,160,158,158,146,123,129,128,124,147,137,133,127,117,106,90,60,82,168,167,166,167,167,166,165,163,161,162,162,160,159,161,147,125,129,126,119,140,131,125,111,96,81,58,65,154,170,167,168,166,167,165,165,164,164,162,163,161,160,162,143,126,129,125,119,124,116,107,91,72,56,70,146,172,167,168,168,168,168,167,167,165,164,162,162,162,161,159,134,129,129,125,116,109,99,93,82,62,91,155,173,167,168,168,168,168,168,168,168,167,166,164,164,162,164,148,129,132,132,128,120
21,10,48,61,66,73,84,98,106,113,117,121,124,126,128,130,137,137,138,139,140,142,144,145,145,145,147,147,146,15,51,61,67,74,86,99,107,114,118,121,124,126,134,133,109,137,140,141,143,144,145,146,147,147,148,148,148,20,54,62,69,75,88,101,109,115,119,123,127,124,151,140,68,129,145,142,144,146,147,149,150,149,149,150,150,26,57,64,70,76,90,103,110,116,120,124,128,125,153,141,77,124,148,145,146,146,148,150,150,150,150,151,152,33,59,64,71,79,92,104,110,116,121,125,129,126,154,139,78,118,149,144,148,149,150,152,153,152,155,154,154,38,60,64,72,80,95,105,113,119,122,128,131,127,154,145,87,113,153,145,149,151,152,154,152,113,123,161,155,44,61,66,73,82,97,106,115,120,124,128,132,129,152,146,94,104,155,149,151,153,153,157,138,86,108,164,155,50,61,68,74,84,98,107,115,121,127,130,131,130,151,145,98,92,154,149,152,153,158,153,119,84,148,160,157,53,62,69,75,84,100,108,115,122,127,130,132,131,157,155,100,88,154,150,153,155,161,142,96,110,165,158,160,56,63,70,76,86,103,110,117,122,127,131,134,133,162,160,110,94,155,152,154,156,146,121,87,153,163,160,160,59,65,69,77,88,103,111,118,124,128,131,134,130,152,145,105,90,152,151,156,158,140,90,114,169,160,162,161,60,65,71,78,90,104,112,118,124,129,133,161,129,118,119,88,86,152,153,157,157,125,84,154,164,161,162,162,61,65,73,79,92,105,112,119,126,128,138,168,125,88,82,71,89,139,146,151,145,87,118,169,161,164,164,163,62,66,73,79,92,107,114,120,126,129,161,131,107,85,59,68,91,126,136,133,105,82,161,163,163,164,164,164,62,67,73,79,94,108,114,122,122,159,171,148,122,106,66,58,80,105,118,106,71,126,171,162,165,165,165,165,63,67,74,81,96,107,114,121,126,167,160,177,159,124,77,57,76,88,103,86,83,167,165,165,165,165,165,165,63,68,75,82,97,107,115,117,142,146,144,171,160,102,73,64,68,79,87,69,125,172,164,166,166,167,167,166,63,69,76,83,100,108,118,118,158,155,125,100,128,101,79,67,64,70,72,67,152,168,166,167,167,167,167,167,64,69,76,84,99,108,118,121,160,128,98,85,120,118,86,68,66,63,67,69,157,168,167,168,169,169,168,168,65,71,76,84,100,109,116,129,169,134,129,114,114,138,95,79,71,65,62,70,159,169,168,168,169,170,170,170,65,71,77,85,101,110,115,136,168,146,133,107,166,166,107,99,76,62,61,78,165,168,168,169,169,170,170,170,65,71,78,87,102,110,114,140,178,156,122,135,192,154,113,102,77,62,59,87,171,167,169,169,169,169,170,171,65,73,78,88,102,110,115,141,178,138,122,149,171,132,102,94,82,66,55,111,176,166,169,170,170,170,171,171,67,73,77,88,103,111,117,137,162,133,132,144,162,129,111,86,80,68,57,137,172,166,170,170,171,171,172,172,67,72,76,89,103,112,117,132,148,148,144,141,165,126,121,93,68,65,63,153,171,168,170,170,171,172,172,172,66,72,78,92,103,111,119,126,151,168,130,144,159,116,105,87,67,60,74,163,169,169,171,171,171,172,172,172,65,71,76,91,102,109,120,122,149,161,130,126,141,102,86,72,65,52,91,169,165,169,171,171,171,172,172,172,65,70,74,89,100,109,118,123,138,145,128,127,126,101,87,77,67,49,104,171,163,168,169,169,170,171,171,171
3,116,126,134,137,142,149,152,155,159,162,165,167,169,170,172,171,175,164,170,173,174,174,174,174,173,173,174,174,117,128,135,137,144,151,154,157,160,163,167,170,171,173,174,174,193,145,151,176,175,175,175,174,173,173,174,174,119,129,136,139,146,153,157,161,163,166,170,173,175,176,177,178,204,149,123,178,179,178,178,175,175,174,174,174,122,131,137,141,148,156,160,164,167,170,174,177,180,181,181,182,210,155,110,182,172,177,180,179,179,177,177,175,125,134,139,144,152,159,163,167,171,175,179,181,183,185,188,195,195,147,112,195,156,157,185,183,182,181,181,180,128,138,143,147,155,162,166,170,174,180,182,189,193,176,197,222,202,184,148,183,165,127,185,187,186,185,185,184,132,140,146,152,160,166,170,175,176,176,201,223,219,175,139,155,194,207,171,132,160,119,151,191,191,189,189,188,136,144,150,156,163,169,176,199,196,176,197,184,194,200,172,91,119,155,115,102,144,139,119,161,196,194,193,192,140,148,152,159,168,173,197,198,177,179,153,112,108,177,184,110,111,114,93,146,159,154,124,131,199,198,198,197,143,151,156,163,172,181,208,156,109,148,106,89,71,91,115,87,93,77,79,174,193,187,138,130,202,202,202,201,145,153,158,165,175,186,215,168,115,157,136,122,97,102,92,74,77,76,82,180,218,204,147,134,206,205,205,205,148,155,160,169,179,186,219,185,143,170,182,161,135,122,110,103,94,90,89,167,220,206,146,138,209,208,208,208,152,158,163,172,183,188,220,206,178,163,160,133,131,137,136,140,122,130,130,166,217,197,137,137,211,211,212,211,154,161,165,175,185,193,225,209,170,148,142,131,136,146,161,161,171,189,208,208,197,169,125,132,214,215,215,214,157,164,169,178,188,195,228,210,166,138,132,138,145,160,178,189,210,219,225,210,172,134,117,130,216,218,217,217,160,166,172,181,191,197,228,222,184,149,134,147,152,170,199,209,220,227,223,195,152,117,105,146,222,222,221,221,163,169,174,184,193,199,225,236,202,168,141,138,153,182,209,218,230,234,218,181,138,107,100,194,226,225,224,223,165,170,176,186,196,201,220,242,218,189,158,140,153,180,209,226,238,232,204,164,129,95,139,226,228,227,227,225,167,172,179,189,198,204,216,244,232,204,176,156,157,171,203,230,237,224,190,148,115,95,193,231,228,229,229,228,170,174,182,192,200,207,214,240,239,219,190,177,171,170,199,227,228,209,171,132,100,120,225,231,230,231,232,231,173,177,185,194,203,209,213,228,237,231,207,191,181,169,204,216,217,188,150,116,90,170,235,233,234,233,215,185,175,180,187,196,206,212,215,217,230,233,218,202,186,167,195,206,195,163,127,98,107,221,236,224,195,146,96,67,177,182,190,199,208,215,218,214,221,227,220,207,188,165,165,190,173,142,112,90,168,220,166,112,75,57,50,44,180,184,192,201,209,216,219,220,215,227,221,207,188,164,151,170,163,131,104,111,179,114,65,50,47,44,44,38,183,186,194,203,211,217,220,223,215,229,216,198,183,158,146,154,149,123,97,103,95,62,59,39,35,50,41,33,184,188,196,205,212,218,221,224,219,227,202,183,177,158,148,144,134,121,92,61,45,50,66,40,23,42,48,30,182,187,195,206,213,217,221,224,214,229,213,194,192,173,153,143,127,120,84,56,42,31,58,51,20,29,50,42,183,188,197,207,214,219,222,227,210,228,228,211,209,180,158,143,124,117,77,53,48,23,39,57,28,18,39,50
1,117,122,124,126,131,136,138,138,140,141,143,144,146,148,148,148,149,149,154,151,152,152,152,152,150,150,151,152,122,125,128,131,134,138,141,143,144,145,147,147,149,147,152,152,160,155,129,156,155,154,153,152,151,151,153,153,126,130,132,134,138,141,145,147,149,150,152,152,152,166,134,141,179,160,88,155,160,159,156,156,155,155,154,155,130,134,136,139,143,146,148,152,153,154,156,154,159,188,109,126,184,143,90,157,140,149,162,159,160,159,158,159,134,137,140,144,148,150,153,156,157,158,159,158,172,183,100,136,185,130,95,169,132,107,170,162,163,162,161,160,137,141,145,148,152,154,159,160,161,161,170,148,159,176,99,143,186,121,104,183,135,96,171,166,166,165,165,163,141,146,148,152,156,159,163,166,167,167,189,134,123,159,106,150,192,128,118,187,127,96,173,170,169,169,168,167,146,150,152,156,161,164,168,171,171,173,196,118,123,146,116,149,181,123,122,192,128,98,177,174,173,172,172,170,149,153,156,160,165,167,171,173,175,179,185,107,127,130,106,129,175,114,133,197,133,104,183,178,177,176,175,173,152,156,160,163,168,171,173,179,179,183,191,117,130,136,106,130,191,119,149,191,129,110,189,183,182,179,178,177,155,159,163,166,172,175,177,182,181,187,190,115,120,153,118,131,191,118,161,196,129,116,192,185,185,184,183,182,158,162,166,170,175,177,181,184,183,194,199,131,111,142,103,122,167,103,174,198,133,127,197,186,188,189,187,186,161,165,168,173,178,181,183,187,186,195,208,136,99,125,103,128,146,124,181,182,123,139,201,189,192,191,189,188,164,168,171,175,181,184,186,190,189,197,205,141,130,167,155,166,170,157,145,170,117,149,203,192,195,194,192,191,166,170,174,178,182,185,189,193,191,204,215,171,140,139,182,197,206,167,106,136,104,157,205,196,197,197,195,194,168,171,176,180,184,187,191,195,193,213,203,153,126,93,119,149,168,190,146,84,81,175,207,198,199,199,197,195,170,174,178,183,187,189,193,198,195,219,198,150,113,102,107,120,166,214,188,111,73,193,206,202,201,200,200,199,172,176,181,185,188,192,195,199,198,223,205,150,120,123,129,164,184,207,212,147,85,190,211,205,204,203,202,203,174,178,182,186,190,195,198,200,202,224,200,147,120,131,136,197,209,191,190,151,90,168,217,205,206,205,204,204,177,181,184,189,193,196,199,201,204,223,199,156,128,142,157,220,217,189,153,123,82,168,218,207,207,206,206,205,178,182,187,191,195,198,200,203,205,220,202,160,143,136,172,228,213,173,139,102,79,186,217,209,210,209,209,207,179,185,188,191,197,199,202,205,206,215,198,160,149,135,172,224,197,158,128,88,108,217,212,212,212,210,210,211,180,185,189,192,196,198,203,208,208,210,198,169,162,139,162,212,180,145,112,77,152,225,211,213,214,212,212,212,183,185,191,194,198,202,204,207,208,207,194,173,168,144,159,204,168,134,100,81,191,221,214,215,215,215,213,214,184,187,192,195,199,202,206,208,210,211,201,175,168,135,151,190,155,124,87,102,219,217,217,217,217,217,216,216,183,187,193,197,200,202,205,210,208,213,206,177,161,122,142,161,129,113,78,145,229,218,220,218,217,217,218,216,182,187,191,196,200,202,204,209,203,217,209,195,160,127,144,146,122,98,95,207,222,220,220,218,219,219,217,216,183,187,191,195,200,205,206,206,203,218,209,198,167,139,145,134,116,80,162,227,218,220,220,218,219,219,217,217
11,134,137,139,142,143,145,147,148,149,150,149,149,149,149,149,150,149,148,148,146,146,145,144,143,141,139,138,137,135,137,141,144,144,147,149,150,150,150,150,151,150,152,152,150,149,149,148,148,147,146,144,143,143,141,140,140,138,140,143,144,146,149,150,152,153,152,153,152,157,133,144,154,150,150,149,149,147,148,147,145,144,142,143,123,140,142,145,147,149,151,152,154,155,155,156,149,175,126,114,161,151,152,152,150,149,150,148,146,145,145,144,73,142,146,147,149,152,153,154,156,157,157,158,151,183,134,102,162,153,155,154,153,152,151,149,148,146,152,115,49,144,148,149,152,154,156,156,158,159,159,159,154,191,125,100,165,156,156,155,154,154,153,151,149,148,153,86,52,146,149,151,155,157,159,159,161,162,165,158,165,209,116,111,167,157,158,158,156,155,154,153,152,153,149,73,57,149,152,155,157,159,160,161,161,163,156,170,160,187,113,123,171,160,161,160,159,158,157,156,156,155,155,95,67,150,154,157,158,161,163,159,182,173,105,155,134,94,133,101,152,168,163,162,161,161,159,159,157,155,162,115,68,153,155,158,160,164,160,181,202,181,143,91,117,84,103,88,128,174,163,164,163,163,160,161,161,158,162,136,66,154,158,160,163,163,175,213,165,170,169,104,94,90,113,96,133,174,165,166,165,165,164,163,161,161,160,160,85,156,160,162,162,169,206,188,130,126,165,102,86,84,114,97,137,176,168,168,167,167,167,164,163,163,161,163,124,157,161,164,161,193,206,157,123,140,151,76,91,84,108,92,146,178,171,171,170,169,168,167,167,164,163,164,144,159,162,166,162,204,196,143,101,121,125,72,93,81,103,85,162,177,172,172,172,171,169,168,167,166,164,167,137,160,163,167,163,207,200,160,117,80,82,94,77,87,100,94,178,174,175,173,172,173,172,171,171,168,166,167,157,161,164,167,168,215,199,152,107,75,62,104,70,110,105,74,165,182,175,178,178,172,165,159,158,168,173,167,166,162,165,167,174,221,196,151,113,84,68,79,65,110,98,58,94,172,174,161,141,131,124,121,110,102,145,173,166,165,169,167,180,221,192,154,123,93,78,80,81,96,98,96,94,101,114,117,130,136,121,101,97,81,117,177,167,166,170,169,180,216,189,154,125,98,81,84,117,138,139,129,119,104,110,125,121,103,91,116,155,164,167,171,169,167,171,171,182,216,191,161,131,104,85,94,136,136,127,122,118,106,96,92,100,133,156,179,181,178,174,172,171,168,172,172,187,214,195,169,133,114,94,106,131,130,123,110,106,86,80,127,177,185,183,179,177,176,175,172,171,169,175,169,199,216,196,167,132,116,100,106,117,121,114,98,82,103,163,190,184,180,180,180,178,178,176,174,172,171,172,175,215,208,183,152,122,106,100,107,106,111,105,80,127,187,189,184,184,183,182,181,179,179,178,176,174,172,172,207,216,196,173,141,116,102,103,106,98,93,85,138,195,186,185,185,185,184,183,182,180,180,179,177,175,168,183,220,206,185,166,138,120,108,102,100,84,111,169,195,188,187,187,186,185,184,184,183,182,180,179,178,176,167,195,217,201,163,138,131,118,105,97,79,104,189,195,189,190,189,188,187,187,186,184,184,183,182,180,179,177,171,205,216,194,145,119,114,109,96,84,88,177,194,190,192,191,189,189,187,187,187,185,184,183,183,181,179,178,183,213,212,183,126,114,109,101,88,76,150,200,193,194,193,192,190,190,189,188,187,187,186,185,183,182,181,179
21,109,115,120,120,123,127,131,134,136,139,140,142,143,144,146,146,145,149,148,146,146,144,144,143,141,141,141,140,109,116,120,122,125,128,132,135,138,140,141,142,145,146,147,148,149,123,142,149,147,146,146,145,145,143,142,141,110,116,121,123,126,130,133,136,139,142,143,144,146,149,148,154,165,78,104,156,145,148,148,146,144,143,144,144,110,117,122,122,126,131,135,137,139,143,144,145,148,149,148,158,163,81,104,159,149,149,149,147,147,147,145,145,112,119,122,123,128,132,136,139,140,142,145,147,148,150,148,162,156,86,106,160,150,151,151,137,103,138,149,145,114,119,123,124,130,134,136,141,141,143,146,148,149,150,149,166,156,88,107,162,152,153,149,123,70,127,154,147,114,120,124,126,130,134,137,142,143,146,148,150,151,153,151,167,156,94,109,162,153,152,146,116,76,145,151,150,113,120,124,126,129,134,138,141,145,148,149,151,152,155,152,167,154,96,103,163,153,152,142,104,89,157,150,150,114,121,126,127,131,135,140,143,146,148,150,151,154,155,152,169,154,100,93,164,154,151,140,92,114,159,151,152,115,122,125,127,133,137,142,145,147,149,151,153,155,156,152,178,163,97,97,165,153,145,132,80,137,157,153,152,116,123,127,129,134,138,141,144,147,149,151,153,154,157,156,180,153,90,108,166,147,145,111,82,155,155,153,153,116,125,129,130,135,139,141,145,148,149,151,155,157,148,157,172,131,78,107,166,148,147,87,108,165,154,156,155,116,125,129,129,135,140,142,146,149,152,152,163,143,109,117,138,98,66,108,162,155,133,75,140,164,156,156,156,118,126,129,131,135,140,143,147,151,153,154,162,141,103,89,70,68,73,118,149,147,105,83,162,160,158,158,157,118,126,129,131,137,141,144,148,151,152,158,160,152,144,124,90,53,80,110,123,122,77,111,170,159,161,160,159,118,127,129,132,138,141,145,149,153,152,166,179,165,186,154,110,62,62,80,91,95,68,141,168,161,162,162,160,120,129,131,131,138,142,146,150,152,157,159,149,163,172,141,91,68,60,67,77,77,77,162,165,162,162,162,161,121,127,130,132,138,142,147,151,152,165,150,116,158,124,131,104,79,67,59,67,63,92,170,164,163,163,162,162,120,127,129,133,138,142,147,152,152,166,171,137,109,68,122,129,92,71,65,61,58,96,173,165,165,164,163,162,121,129,130,133,139,144,147,152,152,168,158,112,91,77,97,142,108,83,70,67,56,87,174,166,166,165,164,164,122,129,130,133,139,144,148,153,152,176,156,128,132,103,129,168,118,107,82,68,61,91,173,168,167,166,165,165,122,128,129,133,140,144,149,154,154,182,161,148,125,116,189,175,124,115,89,73,64,97,175,168,168,168,167,165,122,128,131,135,140,145,150,154,155,179,179,153,116,155,194,156,118,106,93,78,68,102,175,169,170,169,169,167,122,127,130,134,139,144,149,153,154,181,185,140,128,161,184,149,125,99,93,83,68,118,177,168,170,169,168,166,121,126,129,132,137,144,148,151,151,177,163,135,140,153,183,149,137,109,80,81,67,129,176,167,169,168,166,166,121,126,128,132,138,144,148,151,152,169,148,153,148,142,183,148,126,111,84,80,71,137,176,168,169,168,167,166,121,127,128,132,139,145,149,153,156,161,155,178,146,149,173,137,111,95,84,78,74,148,176,169,169,168,169,167,121,127,128,133,138,144,149,153,155,157,162,167,137,132,157,127,99,84,80,73,73,157,174,169,170,169,168,168
21,140,145,148,152,154,156,157,159,160,161,162,162,163,161,160,161,162,158,157,157,154,154,153,152,150,149,148,146,141,146,149,154,155,157,159,161,163,164,165,165,165,164,163,160,154,160,159,158,157,156,156,155,152,150,150,150,143,147,151,155,157,158,160,163,166,166,167,166,167,165,168,176,86,123,168,159,159,158,157,156,154,152,152,151,145,149,153,157,158,159,162,165,168,168,168,168,169,165,174,177,70,113,172,161,162,160,161,159,157,153,154,153,147,151,155,159,160,161,164,167,170,169,170,170,170,166,183,164,74,126,173,164,165,160,155,163,160,157,156,156,147,152,156,158,161,164,166,168,170,171,171,172,175,167,190,160,75,135,175,163,164,146,89,132,168,159,159,158,149,154,158,160,164,166,167,168,170,172,174,175,175,172,194,155,80,149,174,166,160,130,62,121,170,160,161,159,151,156,160,163,166,168,168,170,173,175,177,176,175,175,194,147,77,156,174,167,154,123,70,154,165,161,160,160,151,156,160,164,166,168,171,174,174,175,176,176,173,180,193,141,72,155,177,166,151,104,87,171,163,164,162,161,153,158,162,166,168,169,172,174,175,177,177,178,171,190,195,130,70,164,174,157,148,83,127,176,164,165,165,163,155,161,164,167,169,171,173,175,177,177,175,174,174,203,190,115,85,182,162,151,127,73,160,172,167,167,166,164,156,160,165,168,169,173,176,178,176,184,176,118,113,184,156,87,92,184,157,155,90,94,181,170,169,170,168,167,157,161,165,169,171,175,177,177,177,182,180,128,83,81,81,55,110,179,162,139,70,147,180,171,170,170,168,167,158,163,166,169,173,176,177,178,182,190,177,176,140,102,53,49,111,147,149,100,82,178,176,173,171,171,169,169,158,164,168,171,175,176,180,179,190,202,191,213,186,128,64,56,75,91,103,65,129,186,174,174,173,173,172,171,160,165,169,172,176,178,180,185,187,150,179,189,173,108,65,55,62,70,67,70,171,181,178,177,175,174,174,173,159,165,169,173,178,179,178,198,169,115,163,116,156,128,81,58,48,61,52,108,190,179,180,180,177,174,175,174,162,167,171,175,178,181,181,202,185,141,101,51,134,157,98,63,47,53,51,146,190,181,181,180,178,178,177,175,164,169,172,176,178,180,183,202,156,108,86,54,103,174,117,77,58,53,52,165,188,184,183,180,180,180,178,176,163,169,173,177,180,180,194,206,150,135,124,87,163,187,132,109,69,59,50,165,194,186,186,183,181,180,179,178,163,169,174,177,180,178,203,201,164,151,110,146,227,182,134,121,78,65,60,170,194,186,187,186,182,181,181,179,164,171,174,176,181,181,207,211,185,133,126,218,210,159,124,118,84,68,72,180,190,188,186,187,185,183,183,180,164,171,175,177,182,182,212,226,170,135,148,226,193,157,117,101,89,67,87,191,188,188,187,186,186,184,182,179,165,172,176,179,184,181,213,205,151,157,153,222,188,160,136,84,79,63,110,199,189,190,190,188,186,185,183,182,165,170,174,177,181,182,205,179,180,169,150,222,183,149,130,88,77,63,138,199,190,190,189,188,187,186,184,182,164,168,171,176,179,182,190,191,213,164,167,210,164,131,107,86,79,68,159,197,189,189,187,186,185,184,183,179,164,169,172,176,181,185,185,199,201,151,148,185,147,112,86,79,72,81,179,195,190,189,189,186,187,185,183,180,165,170,174,177,181,185,187,193,177,149,134,163,142,108,93,80,65,94,194,193,192,191,189,187,187,185,185,182
7,221,220,221,221,221,220,220,220,219,219,218,216,216,215,213,213,212,211,209,207,205,205,202,201,200,197,195,194,222,221,222,222,222,222,221,222,221,220,220,219,218,217,216,216,214,214,212,209,208,207,206,204,202,200,197,196,222,223,222,223,224,223,224,224,223,223,222,221,221,220,218,216,216,215,213,211,210,208,208,206,203,203,200,198,224,225,224,224,226,225,225,226,225,224,224,224,222,221,219,217,218,217,217,217,215,213,212,207,206,205,202,201,227,226,227,227,227,227,228,228,227,226,223,223,223,225,224,224,221,216,209,200,200,196,206,212,208,207,204,202,227,228,227,227,227,227,227,227,227,228,229,230,224,213,203,189,186,183,163,156,201,195,173,212,210,209,206,204,229,229,229,229,229,230,232,234,230,222,210,195,181,172,149,160,162,151,149,149,173,160,169,222,213,210,208,205,229,230,230,231,232,224,210,196,189,179,169,162,164,157,141,142,137,125,132,116,107,139,168,168,201,213,209,207,230,230,232,225,196,172,163,164,167,172,170,163,154,132,135,130,128,132,132,128,128,119,109,130,146,212,211,208,232,235,222,197,186,160,148,159,149,144,140,139,142,149,163,155,124,136,143,123,119,106,100,121,123,208,214,210,233,215,197,198,187,157,139,129,127,137,151,167,173,169,158,143,108,112,112,92,93,95,103,123,174,218,213,211,205,191,196,195,184,176,167,169,170,176,180,166,161,151,141,114,93,100,125,151,177,195,212,222,222,216,215,212,189,192,195,190,188,185,169,159,150,152,148,132,127,124,120,132,165,203,228,234,232,228,223,220,219,217,215,213,193,198,193,193,193,175,139,109,119,117,103,92,82,120,221,237,238,236,228,226,225,223,222,222,221,217,215,213,199,197,195,190,171,155,111,91,98,84,77,76,76,69,126,236,229,230,230,229,228,225,223,223,221,218,214,212,197,198,190,167,160,147,119,110,89,78,79,76,78,65,116,231,232,229,229,228,226,223,222,221,219,216,218,221,199,196,179,166,157,154,160,157,108,80,83,85,71,123,231,232,231,229,228,227,225,222,220,218,217,223,206,167,200,190,167,155,150,154,164,146,94,79,76,61,104,235,236,232,233,230,229,228,226,223,225,228,217,186,113,79,190,164,141,142,139,139,141,108,83,73,71,71,95,240,231,233,229,228,227,226,232,228,204,164,119,86,80,75,164,149,146,149,142,130,120,105,97,80,82,65,143,240,230,233,240,238,236,235,182,127,99,82,77,78,81,71,153,156,154,150,129,105,107,124,113,83,71,145,246,240,241,229,187,174,172,138,94,87,77,78,78,79,80,68,155,147,131,112,99,103,119,128,97,76,108,179,180,168,155,113,79,80,73,78,75,83,81,61,70,78,80,68,138,118,110,110,111,111,107,89,83,118,129,113,101,97,97,75,62,81,67,78,70,67,74,54,61,73,79,63,127,123,125,120,107,97,90,95,130,148,125,106,97,90,82,82,55,69,66,63,65,66,65,51,56,69,75,56,115,112,109,103,94,97,119,138,138,120,102,88,83,76,74,70,61,52,67,56,61,62,59,50,56,68,72,52,92,99,105,110,121,133,138,136,125,87,78,81,77,67,71,66,64,45,57,54,55,61,55,50,59,65,71,49,132,137,140,146,139,134,134,126,93,78,64,71,75,63,64,59,61,44,47,55,52,62,52,50,60,63,67,46,138,140,137,140,135,133,127,104,69,68,66,61,72,56,59,52,57,49,42,53,54,61,48,54,59,65,66,43
13,186,188,191,192,192,194,195,197,199,198,199,199,200,201,200,200,201,200,200,200,201,200,200,201,200,199,199,198,186,189,192,193,193,196,199,200,201,200,201,201,202,203,203,203,203,202,201,201,200,200,201,201,200,201,201,201,189,191,194,194,197,199,200,201,201,202,202,203,205,205,205,205,206,204,204,205,202,201,202,203,203,202,203,202,191,193,195,196,198,200,201,202,202,203,204,205,207,208,206,207,206,211,212,199,208,202,205,204,205,205,205,204,194,194,196,198,200,200,202,204,204,205,205,205,207,206,207,207,208,243,226,165,180,214,200,207,208,207,206,206,194,197,198,200,201,203,205,206,206,207,207,208,206,210,209,205,221,248,213,151,175,236,170,154,209,207,208,206,196,198,200,201,202,204,207,207,207,208,209,207,211,245,221,192,239,238,224,143,194,225,172,108,174,215,207,208,196,199,202,203,204,206,208,209,209,210,210,203,230,255,237,196,204,202,178,106,198,221,162,101,150,222,208,210,198,201,204,204,206,208,209,209,209,212,211,223,216,246,246,221,159,104,111,97,193,183,115,85,158,222,210,212,199,202,204,206,208,209,210,211,212,209,233,252,204,189,255,231,182,100,92,135,204,171,128,95,163,223,213,214,202,203,205,207,210,210,211,214,211,217,255,252,234,166,221,233,179,125,65,104,213,233,228,141,166,224,213,216,202,204,207,208,210,213,214,216,210,238,250,253,249,197,158,209,167,118,72,130,212,224,222,178,173,224,216,219,204,206,209,210,211,215,216,215,214,251,238,238,241,202,123,177,198,122,128,241,237,214,194,182,153,219,218,219,204,207,210,211,213,216,217,214,231,255,241,217,205,164,99,151,217,158,224,254,238,217,186,164,139,217,222,219,206,208,211,213,214,215,218,215,235,255,246,221,192,163,116,90,195,235,252,243,235,209,178,139,159,227,220,220,208,210,213,216,215,215,219,217,232,255,248,222,181,178,145,118,242,255,251,243,223,189,166,128,180,230,221,221,208,211,214,216,216,216,219,217,238,255,251,231,215,188,213,231,255,252,249,239,210,184,158,121,192,231,222,223,209,212,215,217,218,219,222,218,240,255,253,242,236,216,226,238,254,248,240,233,204,176,139,121,212,228,224,224,211,214,216,218,218,221,224,219,236,255,253,248,238,225,223,229,252,241,228,227,202,155,117,155,234,224,227,225,212,215,217,219,221,221,223,223,230,255,255,254,239,221,225,230,241,225,216,212,174,127,114,214,233,226,228,227,215,217,218,221,222,224,228,224,220,246,240,228,210,203,220,226,241,226,213,191,144,94,155,240,227,230,229,229,215,217,220,220,223,221,179,167,164,157,141,125,120,117,118,124,136,129,130,128,107,116,235,233,229,230,230,230,215,218,221,221,226,214,144,145,145,136,122,115,110,102,93,88,70,61,58,54,52,75,159,230,232,230,230,230,216,219,221,223,227,224,154,144,146,133,122,118,113,101,95,86,77,69,62,55,50,49,35,115,243,228,232,232,218,220,221,223,227,231,162,142,141,130,121,117,110,98,90,82,72,64,58,54,49,55,38,153,246,232,233,233,216,219,221,223,224,232,165,143,140,130,129,120,107,95,86,80,72,63,57,52,52,37,112,249,234,235,234,234,216,218,220,222,225,231,168,138,141,128,126,118,104,89,81,77,70,63,57,53,50,50,214,241,234,235,234,234,216,219,221,224,226,232,167,137,136,128,122,112,99,88,80,78,71,63,57,53,40,101,246,232,236,234,235,234
20,156,160,164,168,172,174,176,180,181,182,184,185,186,186,189,188,190,186,190,187,188,186,187,186,186,185,184,183,158,162,166,171,174,176,178,181,183,185,186,187,188,189,190,189,221,159,171,188,189,190,188,188,188,187,186,186,160,164,168,173,176,179,180,184,185,187,188,189,191,193,192,191,234,150,169,175,161,198,191,191,192,190,188,188,162,166,169,174,179,179,182,186,186,188,190,192,193,194,193,195,231,155,191,191,135,200,194,194,194,193,192,190,163,167,171,175,180,181,185,188,189,190,192,194,195,196,194,198,240,173,189,209,132,195,197,196,196,194,194,192,165,170,173,177,181,183,186,189,192,192,194,196,197,200,195,204,243,172,193,227,141,190,201,199,199,198,196,195,167,171,175,179,182,185,189,192,194,195,196,196,197,197,196,214,233,167,207,223,141,186,205,201,201,200,198,196,170,174,177,181,185,188,190,193,195,196,200,201,201,214,200,214,236,165,214,218,135,186,207,202,202,201,200,198,171,176,179,184,187,189,193,194,197,199,200,194,221,255,227,161,186,165,214,214,138,193,208,205,204,203,202,201,172,178,182,186,189,191,194,196,199,200,206,228,222,205,214,165,118,127,191,194,140,198,210,207,205,205,204,202,174,179,183,186,191,194,197,198,201,197,228,251,236,174,191,197,187,152,139,162,135,202,210,208,207,206,206,205,176,180,184,188,192,196,199,200,203,202,235,194,186,220,151,200,227,187,119,124,128,208,210,210,209,207,207,207,178,182,186,190,193,197,200,201,204,202,236,182,115,131,99,131,218,202,142,110,119,207,212,212,211,209,209,209,179,184,187,192,195,199,201,204,206,207,232,189,172,135,114,104,183,238,178,115,113,208,215,213,213,211,210,210,180,185,188,193,197,200,202,205,207,210,246,227,176,140,132,135,157,252,210,137,103,205,217,215,215,213,212,212,182,185,189,194,198,200,204,207,208,212,248,211,157,137,142,157,184,255,229,163,107,197,221,216,216,214,214,213,184,187,191,196,200,202,206,208,208,212,248,215,172,157,161,169,223,255,226,178,115,195,221,216,217,216,215,215,186,189,192,197,202,204,207,209,211,214,252,229,188,166,177,195,253,253,214,175,118,193,226,220,219,217,217,216,186,190,194,199,202,206,207,212,214,216,252,239,203,171,189,218,255,249,210,169,121,194,229,221,220,218,219,219,186,190,194,198,201,204,207,211,213,213,249,246,208,188,191,237,254,233,205,163,116,191,230,220,220,220,220,220,186,191,195,199,201,205,208,211,213,212,246,249,213,210,196,241,251,220,197,157,109,188,231,221,221,218,218,218,187,192,196,199,202,207,210,212,214,212,236,252,225,225,210,225,240,209,188,154,102,188,232,222,222,221,219,218,187,192,195,199,204,208,210,213,216,215,226,251,233,229,216,201,220,188,180,143,99,196,231,223,223,223,222,221,188,193,197,201,205,208,210,214,216,217,221,250,243,223,196,180,194,175,179,139,105,217,228,224,225,221,226,225,189,194,198,203,205,207,210,213,220,229,221,249,235,204,167,157,182,175,172,116,134,234,225,227,226,232,214,148,185,191,197,202,206,211,214,223,204,113,89,239,221,184,157,150,192,169,156,93,180,248,231,233,236,212,131,104,143,144,147,149,152,157,157,164,153,83,27,192,234,194,156,164,209,146,123,73,64,169,198,196,192,125,93,94,109,107,111,113,115,113,111,114,129,135,93,123,205,182,160,181,200,119,98,49,35,88,115,121,130,106,82,72
15,72,71,73,72,77,78,79,82,84,92,104,113,121,126,131,136,138,140,143,147,150,154,155,157,159,161,164,165,71,72,72,71,75,77,74,80,84,94,104,112,121,126,132,136,138,141,144,146,149,154,157,158,160,163,164,166,73,72,72,72,74,75,90,79,80,94,105,115,123,127,132,138,139,141,145,150,150,155,157,159,162,165,168,168,73,72,71,75,61,113,170,126,98,93,100,113,124,132,135,140,141,141,143,149,152,155,158,161,163,165,166,167,74,72,71,74,63,115,173,159,146,133,117,119,113,124,133,140,142,143,147,150,153,155,158,162,164,164,166,168,73,73,73,74,74,75,126,128,124,141,139,140,128,120,116,121,125,131,139,148,156,161,163,162,164,165,168,169,71,73,72,73,76,75,79,92,93,110,120,126,144,140,131,127,124,126,125,118,122,129,146,169,164,168,169,171,72,73,72,73,74,77,78,79,86,95,99,94,122,129,128,122,126,140,148,134,111,96,77,136,172,166,170,171,73,73,73,74,76,79,80,81,85,95,105,107,114,117,115,110,105,139,148,150,129,118,86,67,154,173,168,173,71,73,73,73,75,77,79,79,84,97,107,116,125,127,126,119,119,152,149,150,138,134,114,89,83,166,173,172,72,73,73,73,75,76,79,81,85,94,103,116,122,133,140,132,163,162,137,143,157,142,136,118,79,88,172,174,73,73,73,73,76,76,78,81,85,94,122,122,124,122,129,158,169,154,110,146,157,140,160,131,98,63,103,182,72,73,73,74,76,76,79,82,76,122,161,137,145,139,118,133,131,101,82,138,138,135,169,137,102,81,60,127,72,72,73,73,73,75,77,80,80,117,138,145,169,168,130,100,113,91,58,126,117,143,162,137,109,87,70,66,72,71,71,72,73,76,77,80,83,95,112,127,162,161,123,123,132,122,112,113,118,129,136,128,108,86,71,68,71,70,71,70,72,75,75,78,83,96,107,121,132,118,117,138,135,128,135,138,124,91,87,104,94,82,70,67,70,69,69,70,71,72,73,75,83,97,107,111,124,132,103,123,137,139,145,147,126,86,70,80,80,77,78,69,68,68,68,70,71,71,72,74,82,95,107,111,135,194,113,70,73,125,136,140,119,82,74,79,77,79,81,75,67,67,67,68,69,70,73,74,82,96,105,110,132,182,118,62,23,56,113,126,103,83,82,80,78,79,83,80,67,67,67,68,68,70,71,72,82,96,105,110,129,172,107,51,72,39,64,111,82,76,78,84,84,82,82,79,66,66,67,67,68,69,71,72,80,95,105,110,128,171,98,68,86,65,79,102,115,95,94,93,89,86,81,78,65,64,65,65,66,68,70,71,79,92,102,112,122,178,81,82,110,88,126,85,126,108,100,92,85,82,80,75,62,62,62,63,64,65,68,69,77,91,101,108,130,187,65,88,171,55,146,134,101,75,79,78,78,77,78,78,65,63,64,65,64,64,66,66,75,88,101,106,127,142,57,106,171,53,129,162,106,104,110,55,58,63,61,63,118,117,114,111,108,108,111,111,112,112,114,115,126,105,85,134,124,88,138,142,146,152,151,87,51,54,54,56,88,86,85,83,84,85,88,91,87,86,84,81,84,83,88,92,90,90,92,92,93,89,92,90,65,65,74,80,87,86,86,85,85,85,85,83,83,86,85,82,83,86,86,86,85,86,89,87,86,84,85,87,87,93,98,91,89,88,87,87,86,88,89,86,87,89,92,90,89,92,89,88,90,90,92,90,91,90,91,93,91,94,127,102
24,135,139,144,149,151,154,157,159,160,161,162,163,163,163,164,163,163,162,161,161,160,160,159,159,158,157,155,153,136,140,146,149,152,155,157,159,160,162,164,164,164,165,165,164,163,163,163,163,161,161,159,159,159,157,156,155,138,142,148,152,153,156,159,160,162,163,165,165,165,165,166,165,164,164,165,164,163,162,161,160,159,157,156,156,139,143,158,163,146,156,160,162,163,165,166,166,166,166,167,167,166,165,165,164,164,164,163,162,160,158,158,157,140,145,171,173,135,154,162,163,165,166,168,169,168,168,169,169,167,166,166,165,165,165,164,163,161,159,159,158,142,147,175,173,128,152,163,165,167,168,170,171,171,171,170,170,169,168,168,166,166,166,165,164,163,161,160,159,143,148,175,176,127,148,165,166,168,170,171,172,173,173,172,171,171,170,169,168,168,167,166,165,164,163,161,160,145,149,173,181,133,146,165,168,170,171,172,173,173,173,173,173,173,172,171,170,169,168,167,166,165,164,163,162,146,150,171,184,137,141,166,170,171,173,174,174,175,175,174,174,174,173,172,171,170,170,169,168,167,166,165,163,147,151,171,192,149,135,168,173,172,180,175,170,183,181,166,170,175,174,174,173,172,171,169,168,168,167,166,165,148,153,170,199,166,145,187,181,172,195,176,153,186,185,147,150,174,177,176,175,174,172,170,169,169,168,167,165,149,154,168,197,178,171,212,187,175,203,178,151,185,180,141,126,164,179,178,176,170,162,155,152,164,168,167,166,151,156,167,198,196,196,223,190,175,205,176,157,191,172,129,106,147,178,178,173,153,132,118,117,150,169,169,168,153,157,168,202,210,208,225,192,168,202,172,159,191,162,111,90,137,176,177,164,134,114,118,133,159,171,171,170,153,158,172,201,205,203,217,191,160,193,171,160,184,149,91,79,133,174,168,145,122,134,159,170,173,173,172,171,154,159,179,199,186,186,202,184,153,186,171,160,178,135,94,106,146,164,141,122,133,167,178,178,177,175,173,172,155,161,187,210,177,166,185,175,150,185,166,158,175,145,146,160,158,141,115,124,162,180,181,180,179,178,176,174,156,161,194,223,185,157,175,173,159,187,154,154,186,181,182,169,146,125,118,156,181,184,182,181,181,179,177,175,155,161,196,229,192,154,170,178,173,186,156,174,203,192,178,159,130,120,147,180,185,184,183,182,181,179,177,175,156,162,196,228,197,162,166,177,180,193,196,208,205,187,168,144,119,133,175,187,186,185,184,182,181,179,178,176,156,162,194,228,206,177,168,187,214,227,227,212,194,178,156,127,121,160,186,188,187,187,186,184,182,180,179,177,157,162,189,228,214,187,178,199,229,236,227,204,181,160,139,122,149,183,189,189,188,188,186,185,184,181,180,179,157,162,181,222,215,191,186,206,232,231,214,193,167,141,125,141,179,191,191,190,189,188,186,185,184,182,181,180,153,158,175,212,207,192,189,205,223,216,195,174,150,127,126,164,183,185,184,183,182,181,179,178,177,176,175,174,130,131,148,198,202,196,194,203,213,202,176,151,132,115,117,134,136,135,135,134,133,133,132,131,130,132,142,157,109,107,121,187,207,203,201,204,206,190,160,135,120,106,102,102,101,100,99,98,97,97,97,96,105,131,159,170,109,108,117,187,218,210,208,204,198,180,149,125,111,104,103,102,102,100,99,98,97,98,104,126,159,179,177,164,110,109,116,185,225,215,213,201,189,174,147,119,105,103,103,103,103,102,101,100,99,101,131,176,191,180,170,152
21,105,110,115,115,118,121,125,127,129,132,133,134,135,137,138,138,138,141,140,138,138,137,137,135,134,134,133,133,105,111,115,117,119,122,126,128,131,133,133,135,137,139,139,140,141,118,134,141,139,138,138,138,137,135,135,134,106,112,116,117,120,124,127,129,132,135,136,136,138,141,140,145,155,77,100,147,137,140,140,138,136,135,136,136,106,112,116,117,121,125,128,130,132,135,136,137,139,141,140,149,153,80,101,150,141,141,141,139,139,139,138,138,108,114,117,117,122,126,129,132,132,134,137,139,140,142,140,153,147,85,102,150,142,142,142,130,100,131,141,137,109,114,117,119,124,127,130,134,134,136,138,140,141,142,141,156,147,86,104,153,144,145,141,118,70,122,145,139,109,115,118,120,123,127,131,134,136,138,140,141,143,145,143,157,147,92,105,153,144,144,139,111,76,137,142,141,109,115,119,120,123,127,131,134,137,139,141,142,144,146,143,157,145,94,99,153,144,143,135,101,87,148,142,142,109,116,120,121,125,128,133,135,138,140,141,143,145,147,144,159,146,97,91,154,146,143,133,90,110,150,143,143,110,116,119,121,127,130,134,137,139,141,143,145,146,147,143,167,153,94,95,156,144,137,126,79,130,148,144,144,111,118,121,123,127,131,134,137,139,141,143,145,145,148,147,169,144,88,104,156,139,138,106,81,147,146,145,144,111,120,123,123,128,132,134,137,140,141,143,146,148,140,148,162,124,77,103,156,140,139,86,104,155,145,147,146,112,120,123,123,128,133,135,138,140,143,144,153,135,105,112,131,95,66,104,153,146,127,74,133,154,147,147,147,113,120,123,124,128,133,135,139,143,144,145,152,133,99,87,70,68,73,113,141,139,102,82,152,151,149,149,148,113,120,123,125,130,133,136,140,142,143,149,150,144,136,119,88,55,79,106,118,116,77,107,160,150,151,151,150,113,121,123,125,131,134,137,141,144,143,156,168,155,174,145,106,63,63,79,89,93,68,134,158,151,153,152,150,115,123,124,125,131,135,138,142,143,148,150,141,154,161,134,89,69,61,67,77,76,77,153,155,153,153,153,151,116,121,124,126,131,134,139,142,143,156,142,111,149,118,125,101,78,68,60,67,64,90,160,154,154,153,153,152,115,121,123,127,131,135,139,143,144,156,160,131,105,68,116,123,90,71,66,62,59,93,162,155,155,154,153,152,115,122,124,127,132,136,139,144,144,158,149,108,89,76,94,135,104,82,70,67,58,86,163,156,156,155,154,154,116,123,123,127,132,137,140,144,144,165,147,122,126,100,123,158,113,103,81,69,62,89,162,158,157,156,155,155,117,122,123,127,132,137,141,145,145,171,151,140,120,112,177,164,118,110,87,73,65,94,164,158,157,158,157,155,117,122,125,128,133,137,142,145,146,168,168,145,111,146,181,147,113,102,91,77,68,99,164,159,159,159,159,157,117,121,124,128,132,137,141,145,146,169,173,133,122,152,172,140,120,96,91,82,68,113,166,158,159,159,158,156,116,120,123,126,130,136,140,142,143,166,154,128,133,144,171,141,130,105,79,80,67,123,165,157,159,158,156,156,116,121,122,125,131,136,140,143,143,159,140,145,140,135,171,140,121,107,82,79,71,130,165,158,159,158,157,156,116,121,122,126,132,137,141,144,147,152,146,167,138,141,162,130,107,93,82,78,73,140,165,159,159,158,158,157,115,121,122,126,131,137,141,144,147,148,152,157,130,126,148,121,96,83,79,73,73,148,163,159,160,159,158,158
4,165,167,169,169,169,171,172,172,174,174,174,175,175,175,175,176,175,175,174,173,173,174,174,174,174,174,172,171,166,168,169,170,171,174,175,175,175,175,176,176,176,176,176,176,176,175,174,176,175,174,175,175,175,175,175,173,167,169,171,171,171,175,176,176,177,177,176,176,177,178,177,175,176,178,177,176,177,177,177,177,177,176,176,176,170,170,173,174,174,176,177,177,177,177,178,176,174,176,176,182,180,179,177,180,180,180,178,180,179,179,178,176,171,172,174,174,176,177,178,177,179,177,175,182,207,210,184,181,218,204,156,161,180,178,185,182,182,181,179,176,172,174,175,175,176,178,178,180,177,186,202,202,181,215,193,122,165,193,145,99,177,169,152,184,181,181,179,179,175,175,176,177,177,179,181,177,190,224,224,187,111,155,175,107,113,168,110,113,215,168,95,160,187,181,182,181,176,177,178,181,181,181,182,177,212,220,220,185,106,129,187,99,74,178,123,179,214,157,85,158,191,184,185,184,176,178,179,183,183,181,184,177,216,207,191,204,154,98,188,111,97,184,194,222,203,188,106,164,193,185,186,183,178,180,181,183,184,182,186,178,217,207,177,175,134,49,122,200,188,190,202,188,191,209,155,147,195,184,185,186,179,181,183,185,185,183,184,187,223,217,187,151,110,71,60,160,159,163,173,147,201,222,200,134,179,192,187,189,180,182,184,186,187,187,183,197,225,209,164,135,124,106,94,97,97,123,121,99,218,225,216,160,138,198,187,188,182,184,184,187,186,191,185,203,225,210,170,130,105,100,109,115,95,125,98,133,220,221,211,175,116,183,192,189,184,185,186,188,188,191,185,209,225,213,175,134,113,104,114,126,133,161,173,224,220,210,188,156,110,158,200,191,185,185,187,189,191,192,186,213,225,214,185,150,119,108,119,143,148,181,221,223,218,203,170,134,104,160,200,190,186,188,190,191,191,194,188,214,225,216,196,167,125,109,118,143,174,214,225,222,214,194,157,121,103,182,196,192,186,189,191,192,192,194,188,214,225,218,205,174,142,125,124,154,209,225,224,222,205,178,143,107,118,200,194,194,187,189,191,191,193,195,189,213,225,223,212,183,168,140,147,175,218,224,223,215,193,161,128,96,147,206,194,196,190,190,191,192,194,196,190,209,225,223,217,191,181,167,158,179,207,225,217,200,176,145,113,93,180,204,196,197,190,191,192,193,193,195,195,205,225,224,223,202,190,178,159,159,196,224,199,185,164,128,100,111,204,199,199,197,191,192,193,197,200,201,197,196,222,222,218,204,191,171,162,157,181,212,180,162,148,117,85,153,210,198,199,198,193,193,196,183,163,147,130,118,119,118,103,93,88,91,99,109,135,164,162,154,136,104,88,196,206,202,202,200,192,198,151,127,115,110,104,99,89,77,66,53,44,42,26,21,37,44,58,84,110,80,127,212,201,203,201,199,193,199,131,114,118,112,106,102,88,79,66,55,52,44,28,28,34,29,18,12,25,47,189,210,202,203,201,201,193,205,152,107,112,107,104,98,79,69,61,51,49,38,31,30,36,26,19,19,16,4,87,215,203,204,204,204,195,205,169,110,112,104,104,92,79,66,59,51,47,37,31,31,32,23,15,13,15,18,0,157,217,202,206,206,197,204,180,116,109,107,104,93,76,67,58,49,43,38,30,30,28,21,13,11,14,11,17,187,212,205,206,206,196,203,186,112,107,112,97,86,74,65,55,47,40,37,31,29,25,19,12,10,18,0,111,225,203,207,207,206
10,78,88,99,114,136,145,152,157,159,162,163,164,165,165,165,167,168,167,166,165,164,163,162,159,157,156,153,151,79,89,100,117,137,147,154,158,160,162,163,165,167,168,168,168,168,168,167,166,165,165,162,160,159,158,155,152,81,90,101,118,138,149,155,159,161,164,165,167,168,169,171,171,171,170,168,168,168,156,161,163,160,158,157,154,82,91,103,120,140,150,157,160,164,166,167,169,170,171,173,173,173,173,172,170,174,126,125,167,162,160,158,156,85,92,104,122,142,151,158,163,165,167,170,172,173,174,174,174,175,175,174,172,177,127,108,169,165,163,160,158,86,94,105,124,143,153,160,165,166,169,172,174,174,175,178,178,178,178,177,175,180,125,103,170,167,165,164,161,87,96,107,125,145,154,162,167,168,170,174,176,177,178,181,181,180,179,179,179,184,130,105,173,171,169,166,164,88,97,108,128,146,156,163,167,168,171,175,178,180,181,181,182,182,182,181,182,165,129,105,176,173,171,169,167,89,99,109,129,147,157,163,168,171,173,178,181,181,182,183,183,185,185,186,187,111,105,102,178,176,173,172,169,90,99,109,131,148,158,165,170,172,175,180,181,182,185,185,186,187,183,172,164,101,80,106,181,177,175,172,170,91,99,110,132,148,159,166,171,173,177,180,182,184,186,188,190,192,180,152,104,88,66,113,185,179,177,175,173,92,100,111,133,149,160,167,172,175,178,182,184,186,188,185,166,177,171,126,77,69,77,96,185,181,179,176,173,94,101,112,135,150,161,168,173,175,179,183,187,189,192,180,137,109,85,68,72,90,80,74,180,182,180,178,174,96,103,113,136,151,162,169,174,177,180,185,188,179,172,189,160,105,42,45,66,142,101,72,175,184,181,179,176,96,104,114,136,151,163,170,175,178,180,185,190,172,139,144,176,126,59,51,68,158,127,75,169,187,183,180,178,96,105,115,136,150,163,170,175,178,182,186,192,185,169,128,159,132,79,44,85,160,136,75,153,190,184,182,180,96,105,115,137,152,163,171,177,179,184,187,190,158,163,124,121,133,91,53,126,159,132,73,136,193,185,183,181,97,105,117,139,153,164,171,178,180,184,187,195,164,126,115,92,143,133,90,157,149,109,69,145,192,186,183,180,97,105,118,140,153,164,171,178,181,185,188,193,173,135,110,108,138,147,102,156,138,92,65,162,192,186,185,182,97,106,118,140,153,164,172,178,181,186,189,193,196,161,121,106,109,143,135,153,127,87,61,172,194,187,186,183,97,106,118,141,154,164,172,178,180,185,189,191,198,176,145,122,119,182,179,146,117,83,66,184,193,189,186,184,97,107,119,141,154,164,173,178,182,186,190,192,183,173,156,140,130,177,172,134,106,76,77,194,194,191,188,186,97,106,120,141,153,164,173,179,182,186,190,194,179,172,161,150,134,168,162,123,95,62,97,200,194,191,189,187,96,104,118,140,153,164,173,179,182,186,189,193,190,170,164,147,128,146,142,110,84,52,139,200,193,190,188,185,95,103,116,138,151,162,172,177,179,184,187,190,194,181,160,141,125,128,134,109,80,65,181,195,192,188,186,184,94,102,115,137,150,162,171,177,180,184,188,191,194,193,166,142,137,129,136,115,73,98,199,193,190,187,186,183,94,101,115,136,148,161,170,177,179,183,187,191,194,191,176,159,153,136,133,106,68,126,200,193,189,187,184,183,91,99,114,135,147,160,169,174,177,182,186,189,192,183,187,169,156,135,117,96,64,134,198,191,188,187,184,182
14,163,168,172,175,176,179,181,183,184,187,186,188,188,187,187,187,187,185,185,185,185,183,182,181,179,179,177,176,165,170,174,177,179,182,183,184,186,189,189,190,190,190,189,188,190,191,190,186,184,186,186,183,181,182,180,179,167,173,176,179,182,183,185,187,189,192,191,191,191,191,191,191,168,173,188,189,189,185,185,184,183,182,182,181,168,175,179,181,183,185,188,190,191,191,192,193,193,192,191,176,167,152,158,149,175,197,185,183,185,183,184,184,170,176,181,182,184,188,190,192,193,194,195,195,192,207,207,196,185,166,135,114,110,142,190,192,184,185,184,185,172,177,182,185,187,190,191,194,194,196,198,193,203,227,193,164,206,177,139,92,75,74,95,171,195,184,186,185,173,178,183,187,188,191,192,194,196,198,197,205,222,220,169,80,137,124,163,118,56,83,54,60,166,194,185,187,174,179,184,187,190,194,194,196,198,199,200,220,201,156,119,73,58,79,172,149,81,80,82,56,69,191,190,189,176,181,185,189,192,193,195,198,199,205,216,231,178,107,70,52,50,49,129,166,110,85,105,87,62,137,200,188,176,181,187,189,193,195,198,201,199,215,232,229,188,138,93,71,61,52,58,118,130,85,94,82,90,83,184,194,178,182,187,191,193,197,199,201,204,224,237,217,164,124,91,67,68,59,121,180,201,176,119,87,88,68,131,201,179,184,189,192,195,198,200,199,212,236,231,179,118,80,69,61,51,97,213,207,200,208,207,133,90,94,120,201,181,186,191,193,197,199,204,196,221,237,218,191,142,84,61,45,75,204,213,201,204,204,200,122,133,89,126,207,182,188,192,196,199,201,202,203,236,228,205,195,145,101,66,37,46,92,176,212,200,215,168,120,137,82,95,208,184,190,192,196,200,206,196,225,240,218,203,196,137,106,56,42,50,50,68,181,221,180,102,118,127,87,62,174,185,190,195,198,201,202,206,241,228,204,210,190,141,109,54,47,62,72,72,84,124,93,106,126,110,86,55,160,185,191,197,200,204,199,224,242,225,210,211,182,145,103,55,64,86,87,88,83,68,89,109,124,109,64,123,206,187,192,197,201,203,205,242,239,226,208,196,180,140,89,61,81,100,102,99,98,89,90,113,104,75,133,209,203,189,193,198,202,201,218,246,234,218,198,185,173,126,90,71,95,105,107,103,97,95,90,91,76,154,214,205,205,190,194,199,203,201,235,244,226,207,192,174,157,118,93,84,98,110,105,102,88,94,72,67,171,220,205,207,207,191,196,199,203,205,245,237,218,203,182,164,149,117,99,85,97,112,100,95,85,71,105,186,219,209,210,208,207,192,197,202,203,215,251,233,211,194,176,155,137,125,96,85,92,101,98,86,67,156,221,218,212,213,212,209,208,194,198,204,202,234,247,226,197,169,161,151,137,105,85,87,87,91,76,70,163,228,214,213,214,213,211,211,209,194,198,200,217,248,234,214,180,177,167,132,105,81,87,91,70,80,116,190,226,215,217,216,215,214,212,212,211,196,205,196,220,240,225,210,187,176,141,123,102,86,85,72,127,202,227,227,219,220,219,216,215,214,213,213,212,188,192,181,222,235,225,204,186,157,120,114,95,87,62,129,239,229,223,222,221,220,219,218,217,215,215,214,212,75,25,111,240,228,217,197,174,138,109,104,90,74,78,207,227,223,225,224,222,221,220,220,219,217,216,215,213,63,28,88,210,225,208,192,162,120,99,93,82,54,151,232,223,224,224,224,222,222,221,221,219,217,216,215,213
15,81,81,82,84,85,86,91,100,111,121,130,139,145,149,151,154,159,163,168,172,176,178,180,182,185,187,189,191,81,81,83,84,84,86,91,101,112,122,131,139,146,150,151,155,159,164,169,173,176,179,181,184,186,188,190,192,81,81,82,84,85,86,91,102,113,123,132,140,147,150,151,155,159,165,170,173,177,180,182,185,188,190,192,194,81,81,82,84,85,87,92,102,114,124,133,141,148,151,152,155,161,166,170,174,178,181,184,187,189,191,193,194,81,82,83,85,87,88,93,104,115,125,134,142,148,152,153,156,161,167,171,175,179,182,184,187,190,192,193,195,82,82,85,104,110,101,100,107,116,125,134,143,148,151,153,157,163,168,172,176,180,183,185,188,191,193,194,196,82,82,95,146,142,124,119,116,115,121,131,137,138,139,144,153,161,168,173,177,180,184,186,189,192,193,195,197,82,82,97,142,134,118,115,110,107,117,120,122,119,122,125,131,140,152,163,172,178,183,187,189,192,193,195,198,82,82,87,106,105,96,95,91,93,106,105,104,105,118,122,120,122,128,137,142,148,161,181,190,192,194,196,199,82,82,83,86,86,86,87,87,91,96,95,93,98,115,117,115,116,124,130,124,115,117,143,182,193,195,198,200,82,82,82,84,84,86,92,102,109,114,116,115,112,112,106,103,108,127,137,128,115,110,106,144,187,196,198,200,81,82,82,83,84,86,94,106,117,127,136,143,141,127,106,107,128,140,142,132,122,122,106,104,154,193,199,201,82,82,82,83,84,86,95,107,118,131,147,154,144,127,113,130,155,138,136,132,139,134,122,103,110,168,199,202,81,81,81,82,84,85,94,107,118,148,169,149,125,114,105,116,141,116,118,148,149,138,143,121,94,121,185,202,80,80,80,81,82,84,93,106,119,164,169,127,111,114,111,104,108,90,114,159,133,133,152,135,101,88,143,192,80,79,79,80,81,83,93,106,118,157,151,112,113,126,130,120,102,88,113,135,111,127,150,140,109,82,95,145,79,78,78,79,81,83,94,106,117,153,146,106,117,134,140,127,102,94,103,111,113,127,134,123,102,80,75,87,78,78,78,79,80,83,93,106,118,158,169,132,122,131,133,117,95,93,100,106,115,121,112,95,85,76,72,74,77,77,77,79,79,82,92,105,120,161,170,168,144,118,102,88,83,92,99,105,113,120,105,82,75,74,74,76,76,76,76,77,78,81,91,104,123,171,170,171,161,129,95,63,58,77,95,108,116,119,101,80,75,75,76,77,74,74,75,75,76,79,90,103,118,147,159,167,160,144,115,74,42,47,72,108,116,110,92,81,79,80,79,77,84,83,82,81,82,85,94,105,116,127,138,146,141,137,126,107,63,48,67,103,120,112,97,91,90,87,82,79,117,114,111,110,110,112,114,118,121,124,129,131,123,121,135,144,93,61,72,87,113,121,113,103,94,88,81,78,113,112,111,112,113,113,112,111,108,108,110,113,113,112,126,149,107,87,89,86,97,104,101,94,86,81,76,75,113,112,112,113,113,112,113,113,110,109,112,113,114,114,116,124,111,111,112,109,109,102,90,83,79,74,71,71,117,115,115,115,115,115,115,116,116,116,117,117,117,117,117,117,117,117,118,120,127,122,105,90,82,78,74,72,119,118,116,116,117,117,117,118,118,118,118,118,118,118,118,118,118,118,117,119,127,134,126,104,97,99,91,81,119,118,116,116,118,119,119,119,119,119,120,119,118,118,118,118,118,118,118,118,118,138,152,125,122,124,111,97
10,119,124,128,131,136,142,148,152,156,159,163,165,168,170,172,174,176,178,179,180,179,178,180,181,180,180,179,179,121,126,130,133,138,144,150,154,158,161,164,167,170,172,174,177,179,179,180,188,187,171,180,183,183,182,182,181,122,127,131,134,140,146,152,156,160,163,166,169,172,174,177,179,180,181,182,201,198,162,176,185,185,185,184,183,123,128,131,135,142,148,153,157,161,164,167,171,174,176,179,181,183,183,185,208,207,162,173,186,187,187,186,186,125,129,133,137,143,150,155,159,163,166,169,172,176,179,181,183,185,186,187,209,218,171,171,188,189,189,189,188,126,131,135,139,145,151,156,160,164,168,171,175,178,180,182,184,186,188,189,209,230,186,168,189,192,192,191,191,128,133,136,141,147,153,158,163,167,171,174,177,180,182,184,186,188,189,191,209,236,196,164,189,194,194,193,194,129,134,137,142,149,155,160,165,170,173,176,179,182,184,187,188,187,191,192,208,236,202,162,188,196,195,195,195,131,135,139,144,150,156,162,167,171,174,177,180,183,186,196,192,171,184,194,208,237,205,159,185,198,197,197,197,133,138,141,145,152,158,163,168,173,181,178,172,174,182,202,199,159,164,191,210,237,208,159,181,200,200,200,200,134,139,142,147,154,160,164,169,176,192,171,140,135,146,175,200,187,169,180,209,232,205,159,175,200,202,202,202,135,139,143,148,155,162,166,171,177,184,160,129,119,123,137,183,212,187,161,196,215,198,162,168,200,204,203,203,136,141,145,150,157,163,168,173,178,180,170,155,147,141,131,152,201,195,155,163,178,178,160,161,199,206,205,205,138,142,146,152,159,165,170,175,179,183,185,187,201,184,129,124,185,212,173,134,132,146,147,148,193,207,207,207,139,143,148,153,160,167,172,177,181,185,189,205,232,195,120,106,159,221,196,142,115,123,133,136,184,208,208,208,140,144,149,154,161,167,173,178,183,187,192,222,243,198,126,106,135,217,217,168,124,115,127,132,178,209,209,209,141,145,149,155,162,169,174,179,184,188,194,220,241,215,143,104,136,215,229,188,138,113,123,132,180,212,212,212,142,146,150,156,164,170,176,180,185,189,193,206,230,225,166,129,154,219,231,192,145,118,119,130,183,214,214,214,143,147,151,158,165,171,177,182,186,190,193,198,215,215,177,156,173,226,230,201,158,126,118,128,186,215,215,216,145,149,153,159,166,172,178,183,188,191,195,198,204,215,208,187,200,237,231,208,173,137,120,128,190,216,217,217,146,150,154,160,167,173,179,184,189,193,196,200,204,227,240,224,226,245,233,207,178,146,124,127,191,217,218,218,146,149,153,160,167,173,179,184,189,193,197,200,204,225,248,241,241,248,233,206,180,153,129,129,193,218,219,219,146,149,153,160,167,173,178,183,188,192,197,200,203,219,248,250,247,247,231,206,180,158,134,131,193,218,219,219,147,150,154,161,169,174,180,185,189,194,198,201,204,216,245,253,251,247,230,207,184,163,137,131,194,219,220,220,147,150,154,162,169,175,181,186,191,195,199,202,205,213,239,253,252,246,229,212,190,163,135,133,199,220,221,222,147,151,155,162,170,176,181,187,191,196,199,203,206,210,232,250,245,238,227,219,198,162,131,137,205,222,223,223,147,150,155,162,169,175,181,187,192,197,200,204,206,206,214,237,234,232,228,223,204,162,125,129,191,217,223,224,144,148,154,160,168,174,181,187,192,196,200,203,203,178,156,206,228,234,233,224,207,160,118,94,119,186,222,224
3,116,124,129,132,135,139,144,149,151,152,153,155,156,156,157,158,158,160,159,159,159,158,158,160,160,158,157,157,119,127,133,136,139,143,148,152,154,156,158,159,160,160,161,163,166,129,157,163,162,162,162,163,162,162,161,160,124,132,137,142,145,149,154,157,159,162,163,164,165,166,166,171,175,103,136,171,168,169,168,167,166,166,165,164,129,137,142,145,150,154,158,162,164,166,168,169,170,171,171,175,176,98,110,178,173,173,173,171,170,170,168,167,134,140,146,150,154,158,162,166,169,171,172,173,175,176,177,179,181,100,96,179,179,178,177,176,175,173,172,171,137,145,150,153,158,162,167,171,173,176,177,179,179,181,181,183,192,116,90,179,182,182,182,181,180,179,177,176,140,148,154,157,162,166,171,174,177,180,181,182,184,184,184,179,198,120,81,173,187,186,186,185,184,183,180,179,143,151,157,160,165,169,174,179,180,183,185,186,186,192,207,165,134,113,95,168,192,190,190,189,188,187,184,182,146,155,160,164,169,173,179,183,186,188,190,194,175,164,220,193,121,167,113,159,197,193,193,192,191,190,188,187,150,158,162,166,172,176,181,186,189,188,179,211,204,163,188,199,147,175,91,123,203,195,195,195,193,193,193,191,152,159,165,169,175,179,184,188,191,201,182,167,207,182,161,192,141,172,118,88,183,202,199,198,197,196,195,194,154,162,167,172,178,182,186,190,195,211,212,169,141,192,147,182,140,155,157,107,124,208,202,201,200,199,197,197,156,164,169,175,180,184,188,193,198,181,172,155,93,163,123,172,185,123,162,121,104,207,205,204,202,202,200,200,159,167,172,176,181,186,192,196,202,176,132,151,89,140,123,109,118,69,143,126,106,208,208,207,205,204,204,201,162,169,174,179,184,188,193,196,203,201,162,137,111,117,166,104,40,64,169,134,101,206,209,209,207,206,206,206,163,170,175,181,186,190,194,198,206,200,142,100,84,70,128,95,61,118,193,137,89,192,213,210,209,208,207,207,164,172,177,182,187,192,197,200,206,203,165,124,96,71,76,107,144,174,175,127,87,186,217,213,212,212,209,208,167,173,179,184,189,193,198,200,208,216,179,130,102,102,113,182,220,201,153,108,94,201,217,215,214,212,212,211,167,174,180,185,190,196,200,201,208,218,189,146,125,125,134,212,224,184,142,94,106,215,217,216,216,215,213,211,167,176,181,186,192,197,200,203,207,215,197,162,135,124,145,214,212,168,130,88,128,224,218,218,217,216,215,214,168,174,181,187,191,195,199,205,207,209,196,165,143,139,143,208,203,158,116,83,159,224,220,220,219,219,216,214,169,175,181,187,192,196,199,203,206,205,195,172,158,151,134,198,186,145,105,85,187,224,218,218,219,218,216,215,170,177,183,188,193,197,200,204,207,208,196,178,159,152,125,170,168,129,96,96,207,222,219,219,217,216,216,216,171,177,183,188,193,198,200,204,207,207,207,183,160,142,110,141,138,106,89,144,223,221,221,220,220,219,210,183,170,180,186,190,196,202,205,207,211,207,217,182,157,129,110,124,113,98,103,202,221,221,215,217,211,202,179,145,123,128,133,140,147,152,157,164,167,200,215,184,163,132,121,119,107,88,143,218,191,184,199,164,177,190,142,137,98,99,100,101,102,101,101,104,105,191,206,182,165,154,130,111,97,84,192,233,192,166,174,171,145,173,115,150,102,103,106,107,106,110,114,112,120,203,197,164,158,159,121,102,85,112,181,216,195,176,142,175,148,141,111,164
14,163,164,165,167,169,168,168,168,169,168,167,167,166,164,163,163,162,161,161,160,158,156,155,154,153,152,151,150,164,166,167,167,169,169,170,170,170,170,169,169,168,168,166,163,162,163,163,161,160,157,157,156,155,152,150,150,166,167,169,169,170,171,171,171,172,172,173,172,171,162,166,173,169,163,164,163,161,159,157,156,157,155,152,151,168,169,170,170,171,172,173,173,173,173,164,150,146,119,107,128,147,169,169,166,163,162,160,158,158,157,155,152,168,170,171,173,174,173,174,175,176,162,137,117,94,71,61,80,91,119,143,162,167,164,162,160,158,158,156,154,170,172,172,174,175,175,176,176,171,151,113,76,63,64,61,71,89,96,100,105,168,164,163,162,160,159,158,155,171,172,174,175,176,177,174,167,153,125,71,46,51,54,51,54,59,79,73,73,167,168,164,164,162,160,158,156,172,173,174,177,177,179,171,153,133,86,57,49,44,49,51,54,50,62,66,64,102,165,166,164,163,161,159,157,172,173,176,178,178,180,169,151,106,56,59,54,52,51,51,45,49,50,70,77,67,162,168,165,163,162,160,158,173,176,177,178,179,180,174,155,114,56,54,49,54,57,49,120,123,132,87,59,63,136,177,167,165,163,163,160,175,177,178,180,180,180,174,153,116,59,49,46,56,47,87,189,183,186,167,104,77,79,119,154,167,163,163,162,175,177,179,180,180,181,174,156,108,60,61,55,45,69,171,180,176,176,179,174,106,96,84,119,173,163,164,162,177,178,179,180,182,182,176,161,118,79,66,61,49,141,191,179,180,178,181,134,102,104,82,132,174,165,165,164,177,178,180,180,182,181,175,165,129,90,68,58,53,163,186,182,180,183,166,102,101,95,78,163,172,166,166,164,179,180,182,183,184,177,174,168,132,97,73,52,67,187,185,181,181,183,117,89,98,79,103,179,169,169,167,166,179,181,183,184,185,176,173,164,134,102,70,54,58,144,180,188,190,148,96,84,90,57,137,179,170,169,167,166,178,181,183,184,185,177,174,165,134,101,73,60,58,64,84,138,154,94,99,96,66,92,177,173,172,171,169,167,180,181,183,185,185,174,178,170,132,104,78,61,64,70,74,77,78,81,94,79,82,174,177,174,172,171,170,168,181,183,184,185,184,172,181,167,130,102,81,59,62,69,78,84,80,78,88,71,162,182,175,175,172,170,169,168,181,183,184,186,183,171,181,162,125,103,86,61,61,71,76,82,85,78,60,131,189,176,176,175,173,171,170,169,181,184,185,188,181,173,177,157,124,109,87,62,62,75,81,84,83,66,84,182,180,179,177,176,174,172,172,169,182,184,185,189,178,175,170,147,123,107,86,61,63,78,84,84,75,62,171,185,180,180,179,177,176,173,172,171,182,183,184,189,179,171,161,142,118,102,85,61,63,79,81,79,54,110,195,181,183,180,178,177,177,174,172,170,182,185,186,188,178,168,159,142,114,99,82,62,64,76,78,64,62,178,186,182,182,180,178,177,177,175,173,170,183,185,186,186,180,163,153,135,112,91,77,62,63,72,69,46,147,194,182,184,183,182,180,177,176,174,173,172,183,185,186,186,179,160,153,133,109,87,73,59,61,53,49,136,197,185,186,185,183,181,180,178,177,176,174,172,182,185,186,185,178,159,148,132,108,85,66,55,51,77,157,195,188,188,187,185,184,181,180,179,178,176,175,173,181,184,183,184,169,150,144,132,108,78,62,44,104,194,194,184,186,186,185,184,182,180,180,177,176,175,173,172
23,235,237,237,238,240,240,240,241,240,241,241,241,241,241,241,242,241,240,240,239,239,238,237,237,236,235,236,223,238,239,239,239,242,242,242,242,243,245,244,243,244,243,244,245,245,242,240,241,240,240,239,238,237,238,236,236,239,240,242,244,244,245,245,245,245,246,246,246,246,246,246,245,247,247,246,242,242,241,241,239,239,239,239,237,242,243,245,245,245,245,245,246,246,247,247,247,247,248,247,247,248,249,247,246,246,245,245,245,244,242,241,240,244,245,245,247,247,248,248,248,247,248,248,249,248,248,248,248,249,251,248,247,246,240,241,242,242,245,243,242,245,246,247,249,250,250,250,249,249,249,250,252,249,248,249,250,250,246,255,255,255,251,244,195,162,254,244,245,247,247,248,249,249,251,252,250,251,251,252,254,252,251,252,253,251,255,255,255,221,199,197,148,180,255,246,247,248,249,250,252,252,254,254,254,254,254,255,254,255,255,253,254,255,255,252,213,133,182,207,226,254,250,249,250,250,250,251,253,255,254,254,255,255,254,255,254,255,255,251,255,255,249,150,149,217,255,255,254,250,251,250,250,251,252,253,254,255,255,255,255,255,255,255,255,255,253,255,255,255,199,117,245,255,254,251,255,255,250,252,252,252,253,254,255,254,255,255,255,255,255,255,255,255,255,255,255,255,211,221,255,226,245,255,237,240,255,254,254,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,196,182,241,218,189,255,255,253,254,255,255,255,255,255,255,255,255,255,251,231,237,255,255,255,173,233,235,243,197,133,214,230,158,255,255,255,254,255,255,255,255,255,255,255,255,255,255,234,203,221,236,255,243,255,255,249,182,113,172,201,149,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,227,215,212,201,208,237,250,201,116,103,137,119,244,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,247,223,240,218,194,185,191,196,147,94,113,106,176,255,255,252,255,255,255,255,255,255,255,255,255,255,255,255,235,181,204,243,233,211,188,136,159,107,98,115,142,255,255,253,255,255,255,255,255,255,255,254,255,255,255,255,197,149,133,194,200,187,158,112,151,116,92,108,194,255,254,255,255,255,255,255,255,255,255,253,255,255,255,255,190,127,84,133,219,168,107,124,170,123,90,131,251,255,255,255,255,255,255,255,255,255,255,249,255,255,255,250,197,141,66,163,198,131,76,158,174,126,93,208,255,255,255,255,255,255,255,255,255,255,255,250,255,255,255,233,186,147,79,141,153,66,78,179,158,102,134,255,255,255,255,254,254,255,255,255,255,255,255,255,255,255,255,222,182,144,76,123,120,49,130,169,121,93,212,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,215,184,149,86,115,101,65,154,139,97,119,255,255,255,255,255,220,222,226,230,235,241,248,242,255,255,255,230,203,180,153,91,103,100,98,122,119,104,208,255,255,255,255,255,134,132,131,135,140,140,133,166,255,255,253,210,196,199,149,99,90,105,135,127,111,119,202,209,212,217,221,222,138,137,135,135,136,138,127,163,255,255,241,207,215,213,140,117,98,120,145,142,122,128,121,123,126,120,118,129,138,139,139,138,138,141,131,181,255,253,243,220,227,214,152,126,111,126,137,130,128,140,136,138,143,168,210,244,137,140,140,140,140,144,127,197,255,255,255,238,234,212,164,129,115,122,130,127,142,152,174,220,253,255,255,255
2,118,130,137,138,142,147,151,156,159,162,163,161,165,171,174,171,178,180,182,179,180,183,183,182,183,184,184,185,120,132,138,139,145,149,152,157,159,159,163,186,204,202,187,184,186,157,133,180,178,178,184,181,182,183,183,182,121,132,139,142,147,152,156,157,168,187,200,187,160,142,106,105,128,102,70,113,122,103,168,186,181,182,182,181,123,133,139,143,148,156,154,170,222,210,156,116,97,95,80,75,78,78,80,85,74,75,166,187,181,182,182,182,126,135,141,144,151,153,175,225,202,140,79,65,70,70,69,72,68,61,82,98,113,167,186,181,181,181,181,180,128,138,143,147,154,158,224,210,119,81,66,52,69,59,58,64,69,103,166,185,189,188,185,184,184,185,183,182,131,140,144,151,154,173,237,171,86,66,63,64,73,58,71,67,157,196,190,188,187,187,187,188,185,184,185,184,133,142,147,154,154,187,235,152,87,64,56,67,62,67,68,100,202,192,191,193,192,193,193,189,194,166,181,189,136,145,149,157,156,208,225,124,68,57,58,57,51,65,59,160,204,196,197,196,198,199,193,197,199,135,182,195,140,148,152,159,158,229,212,124,87,74,72,58,60,60,99,208,200,201,200,201,201,200,199,210,165,117,199,196,143,152,155,158,172,247,208,137,98,83,70,63,81,66,143,216,202,205,205,204,204,201,201,199,130,137,212,199,146,154,159,160,201,254,202,138,94,82,64,66,77,63,173,214,206,209,209,207,211,195,187,180,102,147,216,202,150,156,160,163,211,251,197,133,92,80,64,65,69,65,183,220,210,211,210,213,208,182,188,156,90,136,220,206,152,158,163,165,212,251,192,127,92,76,65,60,72,77,131,209,206,216,222,218,193,193,188,143,84,168,221,210,154,160,166,166,207,251,192,138,100,78,65,64,82,101,95,119,141,146,181,183,187,195,185,122,128,224,213,215,156,162,169,168,211,249,193,142,103,83,65,69,99,112,111,127,147,149,132,162,193,186,150,107,210,222,217,218,160,164,171,172,222,248,193,147,110,86,65,78,106,104,112,135,154,166,163,151,178,167,102,175,231,221,222,220,162,166,173,175,229,242,193,151,121,91,68,84,105,106,134,153,163,153,151,137,139,114,134,235,222,225,225,223,165,169,177,177,228,235,192,156,127,95,74,88,110,125,155,158,154,141,126,119,103,88,215,232,226,227,227,226,168,171,179,183,229,228,189,161,136,97,80,91,113,131,147,151,140,128,114,97,81,179,239,227,228,229,229,227,170,173,181,184,221,217,186,170,145,101,92,94,111,132,136,141,133,118,98,104,202,241,231,233,231,232,232,231,173,175,185,185,214,211,191,181,148,108,100,94,114,128,133,134,127,100,117,228,244,233,235,235,235,235,234,234,175,178,186,188,215,212,198,180,143,113,107,96,120,124,126,125,102,102,223,243,233,236,236,237,236,236,235,236,178,181,189,195,225,215,195,170,140,121,112,96,115,116,111,95,106,213,245,235,238,238,237,237,238,237,236,236,180,183,189,202,236,216,202,173,140,121,109,98,106,112,82,133,229,245,237,241,240,241,239,239,238,236,237,242,181,185,190,210,238,217,211,173,136,115,105,98,106,86,129,243,244,238,241,242,241,242,241,240,243,251,248,221,183,187,192,212,226,209,195,159,118,103,97,100,94,109,231,241,241,242,243,243,242,242,244,250,234,185,123,78,185,189,195,211,212,201,193,160,113,103,105,110,83,175,245,240,244,244,244,244,243,246,226,160,99,60,50,52
18,137,138,141,143,145,148,150,151,153,154,156,158,157,158,158,159,158,158,159,160,161,162,163,163,163,163,162,163,139,141,143,145,148,151,152,153,156,157,159,160,160,160,161,161,160,161,162,163,164,164,165,165,165,166,165,165,141,143,146,148,150,152,155,157,159,160,161,162,163,163,164,164,164,164,165,166,166,166,167,167,168,168,167,166,143,145,148,150,153,155,157,159,161,163,164,165,166,166,166,166,166,166,167,167,167,168,169,168,169,170,170,170,146,147,150,153,155,157,159,161,164,165,166,167,167,168,170,168,168,169,169,171,171,171,171,169,171,172,172,173,147,148,151,155,157,158,161,164,166,167,167,168,170,171,171,171,171,171,157,153,168,172,151,130,145,170,175,175,150,151,154,157,159,161,163,166,167,168,169,171,172,172,172,172,173,172,145,136,160,173,142,95,101,136,178,175,152,153,156,159,161,163,166,168,169,171,172,173,174,175,173,173,172,163,157,157,171,163,158,114,83,90,168,179,154,156,159,161,163,166,168,171,172,173,174,175,175,178,177,154,152,147,156,158,153,141,176,134,86,65,145,185,155,158,160,163,165,168,171,173,174,175,176,176,171,186,183,138,115,123,139,130,105,144,191,148,102,65,131,186,157,159,162,164,167,170,172,174,176,176,177,182,140,142,173,140,114,103,133,99,75,174,195,159,119,71,129,187,158,161,164,165,168,172,174,176,177,177,191,195,131,101,164,157,137,108,165,118,80,185,202,176,135,80,132,190,159,161,165,167,170,174,176,178,178,188,188,193,149,111,144,171,144,105,142,139,111,172,204,185,139,89,101,186,160,163,167,169,172,175,177,179,185,190,160,189,171,131,118,168,146,111,86,131,178,192,186,164,133,100,74,163,162,165,168,170,173,176,179,179,194,194,155,179,178,139,103,145,149,122,139,178,189,190,164,148,131,109,73,146,164,166,170,172,175,178,181,185,194,175,140,151,156,123,84,110,130,153,195,191,178,170,151,136,127,102,80,165,165,168,172,174,177,179,181,186,201,177,140,132,115,89,60,65,132,196,201,186,169,156,142,120,109,82,107,189,167,171,173,176,178,181,183,185,201,183,157,130,86,75,50,77,185,201,191,178,165,152,125,103,87,72,153,195,170,172,174,177,180,183,184,187,202,191,171,138,107,122,98,157,204,200,190,174,160,141,108,88,74,92,187,196,169,172,176,178,180,184,184,191,204,199,167,140,155,149,147,205,204,198,183,165,150,123,94,79,69,127,197,197,171,174,177,180,182,184,186,196,204,202,161,155,168,143,183,215,208,192,173,157,137,105,81,75,78,170,199,198,173,176,178,181,184,186,186,196,206,200,164,163,168,138,204,212,208,183,161,142,118,90,75,67,121,195,198,198,174,177,179,182,185,187,189,188,198,199,172,172,162,148,210,211,196,171,152,128,99,79,71,81,177,201,199,200,175,177,180,183,186,188,191,188,190,192,180,180,162,172,196,198,178,155,138,115,90,77,66,127,201,200,200,201,175,179,182,185,186,189,192,190,183,189,183,187,171,169,177,181,166,148,127,106,87,73,86,182,202,203,201,201,177,181,184,186,188,190,192,192,182,193,187,179,166,152,165,176,166,139,115,97,81,69,143,202,203,203,203,203,177,181,183,186,189,191,193,194,181,184,168,158,152,145,163,170,160,133,103,87,70,93,188,203,204,204,205,205,178,181,183,187,190,192,194,195,185,175,153,155,154,167,173,170,154,128,101,83,66,131,202,204,205,205,206,206
12,167,168,170,172,173,174,175,177,178,178,178,178,177,177,177,176,175,175,174,174,173,173,172,171,170,169,169,169,168,169,171,173,174,175,177,178,179,179,179,179,179,179,178,178,177,176,176,175,175,174,173,172,171,170,170,170,170,171,173,174,176,177,179,180,180,180,181,181,181,180,180,180,179,178,178,177,176,176,175,174,173,173,172,171,171,172,174,176,178,179,180,181,182,182,182,182,183,183,182,181,179,178,179,179,178,178,177,176,175,174,174,173,172,174,175,177,179,180,181,183,184,184,184,183,177,176,182,180,166,156,167,179,179,179,179,178,177,176,175,174,174,175,178,179,181,182,183,185,185,186,188,183,160,143,163,176,147,112,123,160,158,162,175,179,179,178,177,176,176,178,179,181,183,185,186,187,187,187,193,188,153,115,123,165,139,105,91,126,124,109,139,174,179,179,178,178,178,179,181,184,185,187,188,188,187,183,189,183,143,103,102,163,150,116,90,112,114,86,96,158,180,180,180,179,179,180,183,186,186,187,188,193,191,167,165,175,140,97,96,176,178,133,104,116,112,85,82,149,181,181,181,181,181,182,184,186,188,189,194,208,198,163,141,170,162,103,94,181,186,130,116,142,124,88,82,152,184,183,183,182,182,184,186,187,189,191,203,220,202,167,127,161,177,113,93,145,150,111,132,159,122,81,85,160,186,186,185,184,184,186,187,188,190,193,209,216,196,159,115,123,143,106,92,113,138,134,145,140,95,66,102,174,188,188,186,185,185,187,188,190,192,201,217,206,172,134,98,76,81,89,109,130,161,174,154,124,92,74,136,186,189,189,188,187,186,188,190,192,195,213,220,195,150,114,88,59,62,120,172,180,177,167,143,125,109,89,152,190,190,190,188,188,187,189,192,193,196,219,222,185,144,128,96,68,111,184,205,196,176,158,134,119,104,91,158,193,192,191,190,189,188,190,192,194,199,223,222,183,150,145,121,121,177,213,211,196,173,152,131,110,90,87,164,194,194,193,191,191,189,190,193,195,203,228,225,196,174,156,153,176,209,217,207,190,168,144,125,102,79,80,161,195,195,194,193,192,190,192,194,196,206,229,227,209,193,167,164,191,213,211,197,182,158,133,115,93,71,74,158,197,197,196,194,194,192,193,195,198,205,226,227,215,200,174,170,194,205,198,185,170,145,122,104,84,65,80,167,198,198,197,196,195,193,194,196,199,204,223,226,217,200,175,166,186,192,185,175,158,132,109,91,74,67,119,187,199,199,198,196,196,193,195,197,199,203,219,223,216,195,167,159,173,179,176,165,145,119,98,82,74,109,175,199,199,199,199,198,197,194,195,197,198,201,214,218,208,181,156,158,169,176,175,159,135,115,94,79,110,173,199,201,200,200,199,199,198,194,195,196,174,163,200,208,195,176,166,167,170,179,174,151,124,108,86,92,163,201,204,202,201,201,200,200,199,195,197,188,128,94,162,202,197,187,175,163,159,172,161,132,109,94,85,139,196,205,205,204,203,202,201,200,200,196,196,165,104,80,105,161,180,173,158,143,138,149,135,110,92,81,119,188,206,206,206,205,204,204,202,201,201,196,190,135,90,84,67,82,105,105,98,91,93,104,97,84,70,84,167,206,207,207,206,206,206,205,203,202,202,194,173,110,85,85,62,37,53,57,52,45,42,45,47,47,39,70,167,207,208,207,207,206,205,204,203,203,203,191,149,95,84,85,66,25,36,47,44,36,33,30,28,24,19,38,140,205,208,207,206,206,205,204,203,203,202
18,195,196,197,199,201,200,199,200,200,198,196,196,195,194,193,193,193,192,191,190,189,188,186,184,184,182,180,178,196,197,199,201,200,201,201,201,202,201,199,198,196,196,196,198,197,194,194,193,190,188,187,185,184,182,180,179,200,199,199,201,200,202,204,203,202,201,202,203,205,203,201,195,188,200,196,197,198,195,187,187,186,185,184,181,200,201,202,202,202,203,204,205,203,202,202,167,139,187,197,151,117,140,204,181,154,167,194,188,186,187,185,184,201,202,202,203,205,205,205,207,206,212,202,152,113,103,163,155,114,80,135,147,116,91,148,200,188,187,185,185,203,203,204,204,205,207,209,184,151,172,201,161,139,100,137,189,121,106,74,134,126,89,76,189,192,189,186,185,204,205,207,208,207,207,216,183,149,124,155,188,139,115,110,187,125,115,111,107,119,106,63,161,198,189,188,187,204,207,207,209,210,209,214,197,174,155,115,168,160,119,90,141,146,131,127,116,136,121,66,161,199,191,189,188,205,207,208,211,209,216,198,196,186,159,131,113,159,125,96,108,157,143,130,129,133,116,65,166,202,191,192,190,206,208,210,211,209,219,201,155,171,157,121,74,143,135,96,88,145,134,129,125,121,113,62,149,206,193,191,190,208,209,210,213,209,217,188,107,139,155,87,62,116,111,75,72,121,87,112,147,143,119,70,129,208,193,192,191,208,210,211,213,211,220,188,144,135,147,82,65,96,86,66,61,93,66,92,187,159,127,82,108,211,195,195,193,209,211,211,212,212,221,201,177,130,139,105,73,91,97,67,59,88,65,61,162,164,135,95,84,202,199,196,194,212,212,212,212,214,221,204,167,133,112,96,63,95,108,64,56,75,117,157,164,186,152,109,66,182,204,197,196,212,212,212,214,215,220,180,143,121,98,77,63,75,72,62,72,113,180,188,170,174,157,112,61,163,211,197,197,211,213,215,216,217,218,196,168,143,118,95,92,83,87,112,144,181,194,187,182,150,138,101,58,170,209,198,197,213,215,217,217,216,220,208,179,150,116,93,92,104,124,151,177,201,198,178,165,141,109,84,69,197,203,200,200,215,216,217,218,217,219,210,186,156,124,105,103,108,125,174,197,209,196,168,150,130,101,60,107,214,200,202,200,215,216,217,218,219,217,211,194,165,140,118,115,105,141,194,206,203,185,161,141,123,92,50,164,213,201,201,199,216,217,217,219,219,215,207,192,167,145,126,123,112,154,203,197,190,176,154,132,115,79,69,204,206,203,202,201,217,219,221,222,221,214,197,182,165,148,134,132,119,158,199,188,180,165,147,123,106,60,112,219,202,205,203,201,217,219,220,220,222,218,194,184,172,153,140,145,124,161,188,185,170,147,134,114,93,50,167,217,204,205,204,201,219,220,220,221,223,223,201,183,173,160,151,149,126,163,182,177,165,140,119,102,70,75,212,207,207,205,205,202,218,221,221,221,222,227,213,182,177,169,155,142,124,147,176,166,152,129,105,91,46,142,223,207,208,207,205,203,219,221,221,222,221,224,221,199,184,170,157,145,128,133,160,155,137,114,96,67,68,212,211,210,209,208,206,204,219,219,220,223,224,226,224,210,191,176,162,151,137,130,148,146,124,105,89,42,145,225,209,210,210,208,207,203,219,220,221,221,224,225,224,218,201,174,156,146,141,137,141,139,120,102,67,74,215,213,213,211,210,209,207,203,220,221,222,222,224,226,223,218,201,176,168,166,160,152,135,133,113,93,51,143,227,211,212,211,211,209,207,204
7,178,178,180,181,181,182,181,181,181,181,180,179,179,178,177,176,175,174,172,172,171,170,170,169,140,52,43,54,179,180,182,183,183,183,183,183,182,182,181,180,180,179,179,177,177,175,173,171,172,170,170,171,160,127,108,97,181,182,184,186,186,186,186,185,185,185,183,182,182,174,160,168,171,168,156,156,154,154,176,159,144,100,154,157,183,185,186,188,187,187,187,186,186,185,186,186,187,176,158,162,175,170,155,149,146,146,174,142,140,124,176,138,185,186,187,188,188,188,188,188,192,196,201,201,195,173,161,164,152,141,141,132,130,120,123,134,153,133,128,111,186,187,189,190,191,191,184,188,200,206,205,198,189,182,179,171,150,122,142,149,139,133,125,122,109,127,127,154,188,189,191,191,204,205,192,186,191,196,193,190,188,185,183,169,150,134,140,145,137,134,127,112,97,120,123,135,189,190,193,196,220,212,199,187,188,194,193,191,189,184,179,165,145,135,124,117,111,111,105,99,94,98,111,163,191,192,193,209,223,212,191,171,175,186,189,185,177,165,151,135,119,120,121,122,128,137,140,141,149,158,162,157,193,194,194,221,219,208,180,164,175,172,164,155,142,133,125,114,112,129,181,184,185,184,183,182,180,179,176,150,194,194,206,225,218,204,189,181,171,158,160,164,161,153,147,144,144,103,114,174,187,187,186,184,181,179,178,175,195,195,223,224,220,216,213,199,168,164,166,164,159,147,142,137,130,99,55,106,188,188,187,185,183,181,179,179,194,206,227,226,223,222,220,199,156,154,157,152,145,139,136,127,115,92,57,84,188,188,188,187,185,183,181,179,197,224,228,227,224,220,212,188,158,147,128,112,110,122,132,140,144,121,71,137,188,189,189,188,187,185,183,180,215,229,228,226,223,214,203,185,167,151,133,125,140,165,162,148,147,137,131,189,190,190,190,189,187,186,184,181,226,229,229,226,218,207,196,177,161,165,151,144,156,159,148,139,131,112,135,195,193,192,190,189,188,187,185,183,229,229,227,223,213,197,175,167,179,182,161,151,151,141,134,126,114,89,154,195,196,194,192,190,190,188,186,184,229,227,224,218,205,187,184,191,196,186,165,141,124,115,104,90,88,117,188,196,197,196,194,191,189,188,186,184,227,223,216,208,200,196,197,194,189,172,146,119,99,129,105,123,164,191,199,199,197,196,194,193,190,188,187,186,221,215,207,204,200,203,195,180,174,161,138,113,138,195,198,200,202,201,201,198,196,195,195,194,191,190,188,186,210,204,205,202,197,194,186,174,169,143,112,136,199,205,204,203,203,202,202,199,198,196,196,195,193,191,189,187,202,195,197,194,186,180,173,164,141,111,123,197,205,205,204,203,203,202,201,199,199,198,197,195,193,192,188,184,199,194,188,179,169,164,155,136,109,116,192,206,204,204,203,203,202,202,200,199,198,197,196,194,191,190,184,173,195,186,175,161,147,140,123,102,119,190,207,208,206,206,204,203,202,202,200,199,199,198,196,194,191,163,105,139,176,162,148,131,118,106,93,128,194,208,208,208,207,207,205,204,203,202,201,200,199,198,195,192,169,89,47,46,155,142,131,120,104,108,156,203,208,209,208,208,207,207,205,204,204,203,201,199,199,196,176,127,73,47,37,35,149,144,125,105,102,195,209,209,208,208,208,208,207,207,206,204,203,202,202,192,165,123,75,51,43,43,39,36,166,153,125,98,112,209,210,209,208,207,208,208,207,207,205,203,198,187,149,98,60,40,39,38,34,36,36,36
7,111,121,130,137,140,142,147,154,158,162,164,167,170,172,174,175,177,178,180,180,180,181,181,181,181,182,182,180,111,121,132,138,141,143,149,155,159,162,165,168,172,174,175,177,178,179,181,182,182,182,182,183,183,183,182,181,111,122,133,140,144,145,151,156,160,163,166,169,173,175,176,177,179,180,182,184,184,184,184,183,183,184,183,182,112,122,132,141,145,147,152,157,161,165,168,171,173,175,177,180,181,181,183,184,184,185,186,186,186,186,184,184,112,123,133,140,145,147,152,157,161,166,169,172,174,176,178,181,182,183,183,185,186,186,186,187,187,186,185,186,113,123,133,141,145,147,152,157,162,167,170,173,174,176,180,182,183,183,184,186,187,187,187,187,187,187,187,186,114,124,133,142,144,148,153,158,163,167,170,173,175,178,180,183,185,185,186,187,188,188,189,188,187,187,188,187,114,124,135,143,144,149,154,160,163,167,171,173,175,178,181,183,185,187,187,189,191,190,190,190,189,189,188,188,115,125,135,144,146,147,152,168,176,173,176,182,183,186,184,178,175,182,180,180,179,179,187,191,190,190,191,189,115,126,136,144,146,160,186,200,196,182,176,190,199,200,196,181,179,195,183,172,164,150,170,173,189,192,192,190,116,126,135,153,181,200,202,197,193,176,160,166,177,183,181,165,165,180,175,164,155,148,159,145,187,195,193,191,114,135,172,198,204,198,198,203,192,168,157,172,189,193,197,179,169,177,171,180,177,163,156,163,170,176,188,193,160,194,206,201,204,200,200,201,188,157,142,147,175,181,181,179,179,172,177,184,184,176,170,173,162,174,164,181,207,206,207,205,209,202,203,207,199,143,115,119,118,110,120,134,139,145,147,148,151,154,152,154,148,157,151,183,211,213,209,206,207,203,206,213,184,129,106,110,110,89,72,80,153,172,177,178,175,173,170,170,170,173,183,193,213,209,207,203,205,205,207,203,160,112,107,113,113,105,94,76,171,194,194,196,196,196,197,196,196,197,195,194,206,206,207,205,207,207,210,203,153,103,91,98,116,133,114,88,141,197,193,194,196,196,195,196,195,196,195,195,205,211,210,208,210,210,216,200,144,101,93,66,73,113,116,102,143,196,195,196,196,197,196,196,196,196,196,194,207,204,202,196,191,189,194,159,129,106,100,94,79,102,123,141,179,190,190,191,192,193,192,191,191,190,190,189,191,191,185,175,164,169,165,134,119,111,107,95,94,106,119,125,125,124,124,125,126,123,121,122,121,118,117,116,171,171,164,158,151,149,140,115,109,104,110,104,103,103,103,102,100,100,98,99,100,100,100,101,101,99,96,94,132,143,141,133,121,113,109,108,108,107,109,110,109,109,110,108,106,110,111,107,107,105,103,104,104,102,100,100,109,111,106,102,104,107,109,109,107,108,108,107,108,108,107,107,106,110,111,109,110,106,103,102,102,103,102,102,91,86,91,105,109,110,110,109,109,109,109,109,109,107,108,108,107,106,105,106,108,105,103,103,102,101,102,98,101,92,94,106,110,111,110,110,111,110,111,111,110,109,109,110,109,108,106,107,107,106,106,103,102,103,99,118,115,100,96,103,110,110,110,110,110,110,111,111,109,109,109,109,109,108,108,106,105,104,105,104,103,101,111,190,105,97,98,98,108,110,110,109,110,111,111,111,110,110,109,109,109,108,107,107,107,105,104,104,103,103,181,193,107,101,96,93,107,110,110,110,110,109,109,109,109,108,108,108,108,107,107,107,106,105,105,103,116,164,179,165
13,119,128,136,139,143,149,156,160,165,167,169,172,176,179,181,183,187,188,189,190,191,192,192,191,191,191,192,193,120,130,138,141,145,151,158,162,165,168,170,174,177,180,183,185,188,188,189,191,193,193,193,193,193,193,194,194,123,133,140,143,147,154,161,165,167,171,173,176,179,182,185,188,190,190,191,190,190,195,196,196,196,196,195,196,126,136,142,145,149,155,161,166,169,172,175,178,181,184,187,189,192,203,209,192,154,167,190,193,199,197,197,198,127,137,143,147,151,157,163,168,172,175,178,181,184,186,189,192,190,210,224,192,135,101,128,149,173,199,199,199,129,137,143,147,153,158,164,170,174,176,179,183,187,189,200,180,155,159,193,195,135,89,112,136,104,177,203,201,131,140,145,148,155,160,166,171,174,178,181,185,187,195,225,197,161,125,152,196,169,98,121,135,91,163,205,202,133,142,147,149,155,162,168,173,176,180,183,192,179,152,197,224,190,137,95,172,179,104,121,147,97,175,206,203,134,143,149,151,157,163,169,174,177,180,193,217,185,133,121,215,212,158,87,101,148,98,133,164,114,191,206,205,136,144,150,153,158,165,171,175,178,188,214,216,205,158,96,163,211,154,94,45,79,71,128,152,131,205,206,206,138,147,152,155,161,168,172,176,182,210,193,186,211,175,106,110,194,142,89,39,64,98,130,125,106,189,210,208,140,150,153,156,163,170,174,177,199,221,189,162,193,161,105,84,175,145,89,50,104,146,143,121,107,143,210,209,142,150,155,159,166,172,176,181,212,206,173,146,176,134,91,62,162,166,97,96,171,173,142,105,105,107,193,211,144,152,156,160,168,176,180,189,222,201,170,130,153,120,81,42,141,166,106,161,197,171,138,109,98,94,183,214,147,155,158,162,171,179,183,194,230,210,181,136,122,119,73,58,136,179,168,199,186,156,130,104,87,105,204,214,150,157,159,165,175,182,186,200,236,218,189,149,108,105,106,149,198,214,214,199,172,142,120,97,77,151,216,214,153,160,162,168,177,185,189,206,241,228,194,157,148,150,157,187,211,212,209,189,159,135,111,87,83,194,217,215,156,162,165,172,181,187,190,209,236,231,205,174,172,161,166,199,206,212,199,176,150,127,102,76,107,214,218,217,159,165,168,176,185,192,195,209,227,233,216,190,181,164,174,208,203,202,184,159,135,115,93,71,162,222,220,219,162,167,171,179,188,196,199,203,222,231,221,199,184,167,176,203,204,183,165,143,126,108,82,124,216,223,222,221,165,171,174,182,191,197,202,202,216,224,219,207,191,177,174,191,197,174,151,131,116,97,109,208,226,225,224,223,168,174,177,185,193,199,203,207,207,224,221,213,205,192,176,182,188,166,135,119,105,97,188,229,227,227,226,225,171,175,179,187,196,202,206,210,200,224,218,211,207,192,172,174,173,154,119,108,94,151,229,229,229,230,228,228,172,178,181,189,199,206,209,212,204,221,203,188,195,186,169,166,162,142,117,100,106,212,232,232,232,231,231,215,173,179,182,192,201,207,211,214,207,222,204,189,202,197,181,159,154,138,122,91,139,228,234,234,234,236,205,115,175,179,183,193,201,207,211,214,206,224,216,201,215,202,185,157,150,136,124,87,161,232,235,236,223,174,99,59,176,180,184,194,202,207,212,215,210,220,228,219,227,206,187,161,149,136,122,85,171,235,236,223,134,68,44,41,176,181,185,195,203,208,213,217,208,209,231,225,226,203,184,165,151,137,120,83,167,238,240,170,78,60,48,25
19,156,160,164,168,171,173,176,177,178,179,180,179,180,179,180,180,181,179,178,178,177,177,176,173,181,186,155,204,160,164,169,172,174,177,180,181,183,183,184,184,183,185,183,183,183,182,182,182,181,181,180,175,191,148,146,208,164,168,172,176,178,181,183,186,187,188,189,188,189,183,191,188,187,186,186,186,185,185,184,182,182,187,201,205,167,172,175,179,183,185,188,189,190,192,190,203,199,143,144,196,190,190,189,189,188,187,186,186,182,191,185,158,171,176,179,183,187,189,192,193,194,196,192,217,197,136,100,183,198,193,193,192,192,192,190,188,187,187,172,162,177,181,184,187,191,195,196,197,199,202,197,220,197,150,96,156,207,195,196,194,195,195,193,192,190,190,185,188,178,184,188,191,195,198,199,201,202,204,201,222,204,161,100,130,212,198,199,199,198,198,196,195,193,192,188,192,183,186,190,195,199,201,203,205,206,209,205,223,201,152,90,104,216,207,206,204,203,202,200,198,196,195,192,196,185,190,195,198,201,204,207,208,210,213,210,224,196,152,123,143,184,179,190,194,196,196,202,206,204,201,197,198,187,192,197,200,203,208,211,214,213,211,207,213,203,196,200,202,170,140,162,176,162,152,159,160,179,190,198,203,190,194,199,202,207,209,204,185,188,203,205,213,209,212,208,189,172,154,167,185,170,165,163,146,177,177,161,202,192,196,201,205,207,224,205,181,190,194,194,195,193,187,181,169,154,125,124,145,154,157,158,145,154,164,134,186,194,197,203,208,210,232,206,193,187,173,175,182,178,175,176,172,162,109,148,163,162,155,148,144,147,169,78,165,196,200,205,208,216,208,160,149,161,171,188,190,181,181,178,177,171,129,189,237,225,221,217,213,223,185,60,113,197,202,207,209,228,190,161,156,158,168,174,170,175,178,175,174,157,108,178,230,219,219,218,217,228,114,72,70,199,202,207,212,220,174,174,175,171,159,132,140,160,148,135,142,124,100,213,223,225,232,230,223,180,81,75,76,200,204,209,213,221,210,190,165,156,163,168,164,160,154,147,142,129,118,231,237,217,182,138,94,72,74,75,77,201,205,211,213,226,237,209,164,138,158,167,167,165,163,156,146,143,117,172,148,74,59,66,60,61,70,71,73,201,206,209,215,227,236,210,166,152,145,135,138,145,144,135,128,122,108,61,43,57,49,55,53,68,67,65,70,203,209,210,217,225,225,220,175,157,137,118,121,137,137,128,121,107,85,62,60,63,56,49,46,59,61,58,65,203,209,211,222,230,232,231,191,153,128,145,155,151,146,135,128,106,53,51,66,56,53,54,54,47,51,53,59,203,209,209,221,232,232,235,201,151,125,138,144,140,131,117,111,103,52,39,56,59,55,45,47,54,53,52,53,202,208,208,216,232,228,216,176,148,138,137,145,143,126,112,117,95,54,45,45,55,57,48,35,45,48,59,59,202,208,210,216,229,221,205,171,149,146,137,139,123,104,114,118,51,47,52,43,44,58,56,39,37,40,52,56,202,208,208,215,224,219,196,167,145,147,141,123,92,82,93,80,31,35,46,43,43,47,59,49,34,40,38,35,205,211,208,214,218,211,174,146,150,176,142,90,82,52,14,44,52,31,37,44,43,44,48,56,39,35,38,34,194,199,199,217,212,199,172,151,167,170,130,87,80,42,8,25,52,46,35,44,38,39,41,47,48,29,35,33,125,120,181,223,209,199,178,173,179,159,123,94,66,57,15,14,39,52,43,40,37,31,39,38,46,36,28,34
13,163,164,167,171,173,177,179,181,184,185,186,188,189,189,190,189,189,191,192,192,192,192,191,192,192,192,193,193,164,166,170,172,175,178,180,183,185,186,188,190,190,190,191,190,190,187,184,190,192,194,193,193,194,194,195,195,166,168,171,174,176,179,182,184,187,187,189,192,191,191,193,193,195,171,133,138,195,195,195,195,194,194,196,196,167,170,173,176,178,181,183,185,188,188,190,192,191,191,191,197,207,171,125,91,191,189,193,195,196,196,197,197,169,171,174,177,180,183,186,188,189,189,192,193,196,172,149,163,202,165,121,81,140,131,131,172,199,200,199,199,170,172,175,179,182,184,187,189,191,192,194,197,217,172,136,121,193,158,119,67,129,136,99,101,198,200,201,199,171,174,176,180,183,186,188,190,193,193,192,190,203,187,151,121,185,151,107,86,170,152,94,79,185,201,201,201,172,174,178,181,185,187,190,192,193,194,191,145,122,155,157,115,181,170,101,123,183,147,97,78,187,203,203,204,173,176,180,182,185,188,191,193,194,205,191,147,116,106,151,109,190,173,108,143,179,139,94,80,195,204,205,205,174,178,181,185,188,190,192,194,204,191,192,162,126,91,140,113,122,127,84,145,198,149,87,92,203,206,207,207,175,179,183,186,188,191,193,196,200,164,186,164,122,83,120,122,58,33,69,151,182,133,70,112,207,207,208,208,175,179,183,186,188,191,194,202,201,169,160,158,120,79,101,119,74,22,85,161,149,100,77,153,208,208,208,208,177,180,182,186,190,193,196,207,195,165,140,166,115,83,88,111,85,62,131,167,162,148,121,117,207,210,209,209,178,180,183,187,190,193,195,212,197,168,133,160,111,83,81,129,106,125,190,174,152,134,111,88,181,211,210,210,179,181,183,187,191,194,196,212,196,165,133,145,115,98,83,156,135,170,194,179,150,118,98,85,185,212,211,211,179,181,185,188,192,195,198,212,197,176,152,130,120,112,69,156,177,202,193,169,142,109,92,92,203,212,213,212,180,183,186,189,192,195,200,214,200,181,163,141,111,100,106,194,205,209,187,160,132,102,88,109,212,215,215,215,179,183,186,188,191,194,199,210,198,182,168,158,132,125,133,198,207,202,174,144,119,95,86,154,214,215,215,214,179,182,185,189,192,195,197,204,199,187,174,166,142,126,125,192,207,190,157,129,107,91,101,202,213,214,214,214,179,183,186,189,193,195,197,199,197,189,175,170,149,130,133,182,200,176,146,119,98,84,143,211,213,213,213,213,180,183,186,190,193,195,197,199,199,192,176,168,151,133,136,168,183,157,133,109,92,84,182,210,214,214,214,214,181,184,187,191,193,194,197,199,201,191,173,164,145,127,136,163,156,139,119,99,90,114,207,212,214,214,215,215,182,184,186,190,193,195,198,198,201,182,164,153,130,118,141,152,134,127,107,93,87,174,212,214,215,215,215,216,182,184,188,190,194,196,196,198,200,175,162,143,127,128,146,146,130,119,102,89,133,207,214,214,215,215,216,216,181,184,187,190,194,197,192,207,202,177,167,144,133,143,153,134,125,101,92,97,189,214,214,214,215,215,216,216,145,151,157,163,167,169,178,209,204,182,177,147,140,151,145,121,110,90,80,144,208,212,212,213,215,215,215,215,97,100,102,103,103,103,146,200,191,180,177,148,142,149,138,111,96,83,79,117,140,143,148,151,156,162,166,173,104,105,105,104,104,100,153,197,180,167,162,142,136,147,135,99,89,79,82,101,105,106,106,115,133,146,149,162
6,175,175,176,177,178,179,179,179,179,180,181,181,180,180,177,177,177,178,177,176,175,175,174,172,171,172,170,169,175,177,177,179,179,180,182,182,181,182,182,182,182,182,179,178,178,178,178,178,176,176,176,175,172,172,173,172,177,180,180,181,181,182,183,183,183,182,182,182,183,183,180,180,180,179,178,179,177,178,177,176,175,173,173,172,178,180,182,181,183,184,183,183,185,183,184,184,182,183,182,182,182,181,179,180,177,178,177,178,176,173,174,172,180,182,183,182,184,186,186,187,187,186,185,186,184,184,183,183,181,182,182,181,181,181,179,171,170,181,173,172,180,182,183,183,185,186,187,187,187,187,185,185,186,186,185,184,186,186,183,180,176,166,164,141,178,208,156,163,182,183,184,186,189,188,188,188,188,188,189,190,188,186,182,178,170,161,164,170,165,156,157,142,159,174,130,165,184,185,186,187,190,192,191,190,189,189,184,183,182,176,162,153,130,138,146,165,153,141,119,106,102,120,156,179,185,186,188,190,191,193,193,192,191,184,155,152,138,148,164,154,144,116,126,123,104,89,92,115,142,171,181,177,187,189,189,191,192,194,194,191,186,175,162,163,129,84,113,112,96,75,85,93,120,143,174,188,187,183,179,178,189,191,191,195,195,194,191,171,175,177,180,166,114,69,53,51,56,86,134,178,192,192,186,183,184,183,181,180,192,193,194,196,192,186,180,172,165,171,178,150,96,65,55,61,144,178,196,193,190,188,187,187,185,184,182,182,193,193,193,190,185,180,175,169,158,167,165,157,138,80,58,60,174,202,187,192,192,191,191,189,186,184,184,184,193,191,190,186,181,171,169,166,161,163,167,172,153,94,61,56,70,196,193,193,192,191,191,189,188,186,186,185,188,189,193,184,175,169,169,169,165,165,167,164,150,103,60,64,49,127,208,193,194,193,191,190,190,188,188,187,200,202,195,183,175,170,167,169,166,161,165,166,162,132,67,56,60,61,185,200,195,194,193,191,190,190,189,187,207,204,188,179,181,171,167,167,169,171,174,174,165,128,74,57,55,49,181,202,196,196,195,193,192,191,190,188,202,192,183,184,178,170,166,166,165,157,156,152,137,108,79,63,45,117,212,196,197,197,196,195,193,192,191,189,205,188,178,181,168,166,170,163,158,146,138,135,120,99,85,74,46,114,215,198,200,197,197,196,195,196,193,191,208,198,175,162,162,168,171,167,156,145,136,136,122,92,83,84,65,53,190,206,201,198,198,196,195,196,194,191,190,192,165,148,152,162,162,159,147,134,116,111,91,76,78,91,68,53,190,207,203,201,198,197,196,196,195,193,77,133,140,128,138,149,148,138,123,108,95,82,46,58,79,85,59,144,212,204,204,202,200,199,197,198,197,196,33,45,88,106,117,131,125,110,89,75,66,60,52,68,81,90,166,213,205,205,205,203,202,199,198,198,197,196,37,37,33,44,59,81,92,84,94,121,148,116,96,100,140,192,214,206,207,205,205,204,203,201,201,199,197,196,31,34,32,9,5,17,23,31,190,221,219,216,208,210,216,213,209,209,207,206,205,206,205,203,202,201,197,196,28,26,37,26,3,11,0,86,222,210,211,211,211,211,209,209,209,208,207,209,206,205,204,203,202,200,198,198,24,23,31,31,4,8,0,176,222,209,213,212,211,211,210,210,209,208,208,207,206,205,204,203,202,200,199,198,21,20,32,33,7,0,67,223,210,213,212,212,213,213,212,211,210,210,209,208,207,206,205,204,203,201,199,198
23,104,106,109,117,126,134,140,142,145,149,154,158,161,163,164,166,169,171,173,173,172,172,173,173,174,173,172,172,104,106,110,119,127,135,141,144,146,151,156,159,162,164,165,167,171,172,173,174,174,174,174,175,175,174,173,173,104,107,111,120,128,136,142,146,147,152,157,160,163,165,167,169,172,173,175,175,176,176,176,176,176,176,175,175,105,107,111,120,129,137,143,146,148,153,158,162,165,167,170,171,173,175,176,177,177,176,177,177,177,177,177,176,106,108,111,121,130,138,144,148,150,155,159,164,165,167,170,172,174,176,176,177,177,177,177,177,177,177,177,175,106,108,112,122,131,139,144,148,151,156,160,164,166,169,171,173,175,176,177,178,180,179,179,178,178,178,177,177,105,108,113,123,131,140,146,148,151,157,162,165,168,170,173,175,176,177,179,180,177,178,177,179,181,178,177,178,106,108,114,123,133,141,147,150,152,158,163,167,170,172,174,176,176,179,179,177,200,207,187,180,177,179,179,178,106,108,114,125,133,141,147,150,153,159,164,168,170,173,176,177,179,179,183,215,227,194,191,172,124,174,182,180,106,108,114,125,134,143,149,151,155,161,166,169,172,175,177,180,179,187,233,209,177,125,149,155,158,183,182,182,106,109,115,126,135,144,150,152,155,162,166,171,173,175,177,181,176,216,248,146,107,160,186,186,189,184,183,183,106,108,115,127,136,145,151,153,157,162,167,171,175,177,180,181,182,234,235,177,188,179,174,188,185,186,184,184,106,108,115,127,136,145,151,153,158,164,168,173,177,176,179,180,202,242,237,239,229,152,144,197,186,187,186,185,106,109,116,127,137,147,153,154,159,165,169,175,174,187,205,212,231,190,209,200,190,137,118,175,186,189,188,187,106,110,117,128,138,148,154,157,161,165,172,172,190,218,213,218,233,197,221,223,197,135,107,150,170,195,188,189,107,109,117,129,139,149,155,158,162,168,171,182,218,202,195,200,200,183,201,214,183,126,99,121,134,199,191,190,107,109,117,129,140,149,156,158,162,169,168,223,239,217,208,209,198,187,187,157,142,126,95,123,108,151,197,191,107,109,118,129,140,150,157,158,163,169,173,236,239,218,187,188,201,198,188,143,123,132,87,120,123,115,179,197,107,108,118,131,140,151,157,159,163,169,176,233,235,205,165,140,150,166,170,131,129,130,81,117,125,130,189,195,107,109,119,131,141,152,157,158,163,169,179,239,238,179,134,116,90,175,168,122,136,111,98,127,123,159,201,194,106,108,120,131,141,152,157,160,166,169,181,245,226,175,137,103,110,176,149,125,115,85,113,133,135,195,198,198,106,108,119,131,142,153,158,160,167,168,188,247,218,173,141,112,104,113,114,98,92,99,114,124,163,206,198,199,104,106,119,131,141,151,157,158,166,166,196,245,212,171,141,109,82,88,92,103,119,119,118,123,188,202,199,199,103,105,117,130,142,152,158,159,167,167,205,242,207,172,141,118,99,110,121,126,132,126,116,157,205,201,200,199,102,105,117,129,141,152,159,160,168,168,204,233,200,169,143,123,108,113,130,134,134,121,133,203,202,202,202,201,101,104,115,129,142,152,158,160,167,168,205,225,191,170,148,128,118,115,132,137,136,115,167,210,201,202,202,201,97,101,113,127,140,151,157,159,166,168,213,216,195,184,160,137,125,116,130,135,127,137,202,205,203,202,202,202,99,103,114,126,138,149,155,157,165,170,224,221,206,195,171,142,128,120,129,129,130,188,207,201,202,201,201,201
19,166,166,167,168,170,171,172,172,172,173,173,172,172,171,171,171,170,169,167,166,166,165,165,165,163,162,163,162,166,168,169,170,171,172,173,173,173,173,174,173,173,173,172,172,171,171,170,169,168,167,166,166,165,165,165,164,166,169,170,171,172,174,174,174,175,175,175,174,174,174,173,173,172,171,171,171,170,170,168,168,167,166,165,165,167,169,171,173,173,174,176,176,177,178,177,176,175,174,174,174,174,172,172,172,171,172,171,169,167,167,166,165,169,170,171,173,174,175,178,178,179,179,178,179,179,177,176,176,174,174,173,172,173,172,171,169,168,167,167,166,170,172,172,174,175,178,178,180,179,179,179,179,180,180,178,177,176,175,174,174,173,172,171,171,169,169,168,168,171,172,173,176,177,179,180,181,181,181,181,180,179,179,178,180,179,178,176,175,175,174,172,172,171,171,169,169,171,174,176,178,179,180,181,182,181,181,181,181,180,179,173,167,174,178,177,177,178,175,174,173,171,167,170,169,173,174,177,179,181,181,182,183,182,183,181,181,180,184,167,134,140,178,169,168,172,170,166,169,165,117,164,171,175,176,178,180,181,182,183,182,183,179,175,179,179,185,178,172,180,183,172,171,182,174,167,151,121,108,168,172,176,177,179,180,181,183,183,185,187,165,156,162,169,172,164,154,146,152,142,154,168,149,125,116,131,164,175,174,175,178,180,180,182,183,182,183,165,158,168,169,162,162,157,148,116,104,105,112,142,145,158,169,177,177,174,175,179,179,181,182,184,179,189,201,186,185,186,179,170,155,122,99,103,84,84,153,183,182,181,179,178,176,175,175,180,181,182,183,186,179,211,220,198,181,172,166,160,144,111,84,96,86,91,172,183,182,180,179,178,178,178,178,178,180,183,184,187,179,209,211,181,153,128,118,120,129,115,91,96,89,96,177,182,183,181,181,179,179,179,178,179,181,184,185,186,179,194,200,170,123,108,77,76,142,122,97,98,90,108,183,184,183,183,182,182,180,180,179,180,181,183,185,188,177,188,199,167,125,89,63,115,139,116,99,98,90,126,190,186,184,185,184,183,181,180,179,181,182,184,187,189,176,184,203,173,139,110,79,83,84,81,87,88,97,106,187,187,186,185,184,184,182,181,179,183,184,186,187,189,177,182,204,177,146,117,102,76,55,51,60,77,88,89,175,189,187,186,185,183,182,181,180,182,185,187,188,191,175,175,201,175,147,120,107,102,82,72,78,88,94,91,165,191,188,187,185,184,184,183,182,183,185,187,188,190,179,171,197,173,145,121,108,107,93,84,88,95,100,96,168,191,188,187,186,185,185,185,184,183,185,187,190,192,182,169,196,172,142,121,109,107,95,85,90,97,101,104,179,191,189,188,187,186,186,186,185,184,186,188,190,193,185,174,190,165,138,119,108,105,100,93,95,102,104,122,191,192,190,189,188,187,187,186,185,186,187,188,190,193,186,184,193,166,137,121,109,104,104,102,104,109,105,156,194,191,191,190,189,188,188,186,186,187,188,189,192,194,183,186,196,171,144,126,112,105,109,109,110,109,131,189,193,193,192,192,189,189,188,187,187,185,187,188,191,195,178,188,192,172,154,130,112,105,112,111,111,148,187,194,194,192,191,191,189,189,189,188,186,184,187,187,188,190,179,192,184,162,147,129,111,109,109,104,132,190,195,192,192,191,190,190,189,189,188,187,186,184,187,188,189,188,189,198,188,167,146,132,115,106,105,100,147,192,194,193,192,191,190,189,189,189,187,186,186
6,228,229,228,228,229,229,229,228,227,228,228,227,226,226,223,222,221,220,219,218,216,214,213,212,211,209,206,203,232,232,233,234,233,233,232,232,231,231,231,229,228,226,225,224,223,222,221,220,220,217,215,214,213,211,210,207,235,236,236,235,235,236,236,235,234,234,235,233,232,231,229,227,227,225,224,223,222,220,218,217,217,214,212,210,237,238,236,236,237,237,237,237,237,236,237,235,234,235,233,231,229,228,227,225,223,223,221,220,219,217,213,212,240,240,240,240,240,241,241,240,239,239,239,240,237,236,235,234,232,230,229,228,227,225,225,222,220,220,217,215,241,241,242,242,242,243,242,242,242,242,242,240,240,239,237,236,235,234,233,231,229,227,227,226,223,221,219,218,243,243,244,244,243,244,244,244,244,244,243,242,242,241,240,238,237,235,235,233,231,229,228,227,226,224,221,219,245,245,246,246,247,247,247,246,247,247,245,245,245,242,240,240,239,239,240,239,238,234,233,233,229,224,225,222,247,246,248,248,248,248,248,249,249,248,249,249,249,249,248,246,243,236,229,222,215,217,213,200,201,213,208,223,248,247,248,248,248,249,250,249,253,252,246,238,232,229,219,208,199,197,175,170,179,187,178,168,207,244,197,205,249,249,250,250,250,249,250,253,239,211,190,188,184,189,190,187,182,181,172,167,184,166,167,162,163,179,168,213,251,252,251,252,250,253,248,230,212,197,175,178,184,188,195,188,179,151,146,133,130,133,150,153,160,186,214,231,253,253,253,253,255,239,215,211,209,192,157,135,147,147,138,137,139,133,144,174,205,222,232,237,243,242,236,231,253,253,255,255,232,205,207,208,202,188,167,128,102,78,179,238,244,244,247,254,252,247,244,241,236,235,234,234,254,255,255,232,202,207,211,210,211,211,197,146,98,90,122,161,197,246,251,246,246,243,242,242,241,239,237,235,255,254,229,212,213,217,220,218,216,216,170,111,92,96,91,85,78,123,252,249,248,247,245,243,242,240,238,236,241,214,210,221,221,219,222,207,204,199,132,93,86,90,99,103,103,80,197,255,247,249,247,244,243,241,239,236,210,210,222,224,220,219,211,196,203,199,171,142,94,74,86,91,97,68,142,255,248,249,248,245,243,242,240,237,214,216,220,224,225,217,200,201,207,206,211,173,109,86,87,79,88,150,233,253,249,248,248,246,244,242,241,239,216,218,225,228,219,203,196,199,196,197,192,141,94,89,91,88,96,255,255,250,251,249,248,248,245,243,241,240,218,220,222,215,204,198,197,195,186,179,170,129,83,75,87,81,105,251,253,252,252,250,248,247,244,243,242,241,218,215,202,197,203,200,193,186,172,169,179,165,106,78,80,94,231,255,251,249,250,249,247,245,242,239,239,238,205,194,190,197,192,179,168,163,168,180,196,181,113,92,91,95,253,255,252,249,248,247,247,244,247,250,246,236,197,194,195,186,172,162,166,170,175,176,179,142,95,83,71,137,255,252,252,251,254,252,252,255,231,199,163,126,192,189,180,169,168,167,165,152,143,136,120,84,100,138,174,254,255,255,255,255,236,236,235,207,125,93,78,83,176,163,139,141,157,160,150,127,107,96,103,164,251,255,255,255,255,205,177,142,104,112,103,91,81,95,81,72,129,109,87,100,122,123,113,101,106,148,199,232,236,232,235,238,183,107,103,82,64,82,69,75,73,71,82,60,106,81,94,127,133,129,127,127,137,143,143,137,134,136,136,120,98,96,87,91,60,72,70,65,68,65,69,61
18,150,151,154,156,159,162,164,164,166,167,170,172,171,171,172,172,172,172,173,174,175,176,177,176,177,177,176,177,152,154,157,158,161,164,166,167,170,171,173,174,174,174,175,175,174,174,176,177,179,178,180,179,179,180,179,180,154,157,160,161,164,166,168,172,174,174,175,176,177,177,178,178,178,178,179,180,180,180,181,181,182,182,181,180,157,159,162,164,166,168,171,173,175,177,178,179,180,180,180,180,180,180,181,180,181,183,183,181,182,184,184,184,159,160,164,166,169,171,173,175,178,179,180,181,181,182,184,183,181,183,186,189,186,184,189,187,189,187,186,187,160,161,165,169,171,172,174,178,181,181,182,183,184,185,186,186,186,187,170,165,183,189,164,140,160,190,189,189,163,164,168,171,173,175,177,180,181,182,183,185,187,186,187,186,187,190,153,141,171,194,153,97,107,150,200,187,165,167,170,173,174,177,180,183,184,185,186,187,189,189,187,190,188,177,173,172,192,178,177,126,88,94,190,194,167,170,173,175,178,180,182,186,187,187,189,190,190,191,194,166,169,159,173,176,170,147,198,149,97,62,162,206,169,171,174,177,180,182,185,188,188,189,191,191,185,210,204,146,120,134,154,148,106,154,218,160,116,63,145,210,171,173,176,179,181,184,186,189,190,191,189,202,145,153,194,151,122,110,150,105,70,199,215,171,134,70,142,211,172,175,178,179,182,187,188,191,192,187,208,220,139,97,187,172,152,114,196,129,76,211,221,192,153,79,149,214,173,175,179,181,184,188,191,193,192,204,206,212,163,113,160,194,159,108,163,164,109,183,229,205,155,93,107,214,174,177,181,184,187,190,192,192,200,209,163,209,190,139,124,192,159,124,78,139,202,211,202,178,146,113,71,184,175,179,182,185,187,191,194,191,211,217,163,198,200,154,107,163,171,127,150,200,206,209,176,161,144,127,72,162,178,180,184,187,190,193,195,200,211,189,147,163,178,139,88,126,142,161,222,207,190,185,164,149,144,117,80,187,179,182,186,188,191,194,195,200,221,193,147,143,130,99,70,63,138,224,217,201,182,169,158,132,125,86,112,216,181,185,188,190,193,196,197,198,219,198,171,146,89,82,50,71,216,217,205,192,180,168,137,114,99,69,172,216,184,186,188,192,194,198,198,200,221,206,188,153,111,144,100,175,228,214,206,188,175,157,119,100,81,95,214,210,183,186,191,193,195,199,198,206,221,218,181,146,178,166,156,232,217,215,198,178,165,136,105,93,71,137,222,210,186,188,192,194,196,200,199,213,219,221,170,166,190,149,197,237,224,206,188,173,153,116,91,88,76,192,218,211,187,191,193,195,199,202,199,212,225,217,174,176,187,140,225,227,227,198,175,155,131,100,87,70,130,221,211,214,188,191,193,197,200,202,204,201,214,219,182,190,175,151,236,228,211,185,166,141,109,89,82,80,203,219,214,215,190,192,195,198,201,203,207,203,204,210,191,198,172,186,215,215,193,168,152,128,100,92,66,138,228,213,216,216,190,193,197,200,201,203,208,206,196,206,194,205,187,183,191,196,179,162,140,117,99,82,85,208,219,218,216,216,191,195,199,201,202,205,207,208,195,211,205,196,182,161,179,193,182,152,127,109,95,68,158,227,216,219,219,219,191,196,197,201,204,206,208,210,193,200,180,170,163,153,178,184,176,146,113,100,76,96,216,217,219,220,220,221,192,195,198,202,205,207,209,211,201,189,163,170,167,185,189,185,168,140,111,97,67,148,227,218,220,221,221,221
23,168,169,169,169,171,171,171,171,171,172,172,172,172,172,172,172,172,172,171,172,171,170,169,169,169,168,166,164,171,172,172,174,174,174,175,176,175,176,176,175,175,175,175,174,175,176,174,174,174,172,172,171,170,170,169,167,175,176,176,178,177,178,179,179,180,180,178,178,178,177,176,181,181,178,178,177,177,176,175,175,173,172,172,170,179,178,179,182,180,181,182,183,183,182,189,180,182,185,182,154,173,188,180,180,180,179,177,178,177,175,175,174,182,183,183,184,184,184,185,187,183,189,217,193,183,200,187,156,126,171,190,183,183,182,181,180,179,178,177,177,185,186,186,187,188,187,189,190,186,207,207,178,122,138,130,153,154,137,159,189,185,185,184,183,183,182,181,179,188,188,189,190,190,191,191,192,193,215,198,165,107,168,176,161,135,118,128,193,188,187,188,187,186,185,184,182,190,191,192,192,193,194,194,192,204,202,202,147,159,203,163,190,185,173,188,195,191,191,190,190,189,188,187,186,193,194,194,195,196,196,198,196,205,198,202,208,213,192,120,157,213,198,198,196,196,195,192,192,192,191,190,189,195,197,197,197,199,192,182,186,190,199,201,199,193,184,121,107,182,201,197,198,198,197,196,195,193,192,191,191,198,199,199,201,197,177,154,162,172,174,171,170,165,153,120,68,80,177,207,199,199,198,197,198,197,196,194,193,199,201,200,199,203,195,192,181,186,179,167,162,145,96,89,69,60,156,213,200,203,201,200,200,199,198,197,196,201,202,203,200,199,204,202,193,173,131,127,134,130,84,86,68,74,193,208,203,204,204,203,203,201,200,199,198,203,204,206,203,189,191,208,193,130,104,65,110,143,85,88,68,110,217,206,207,207,206,205,205,204,203,200,199,205,205,208,207,189,185,213,189,116,71,55,135,147,91,83,54,127,222,207,209,208,207,207,206,205,205,202,200,206,207,209,209,190,183,215,195,139,77,77,124,98,82,70,57,110,219,209,210,210,210,209,208,208,206,205,205,209,209,211,211,187,185,223,199,139,98,57,52,49,57,64,71,104,217,212,211,211,211,210,210,209,208,207,206,210,210,212,209,180,198,227,198,143,112,68,46,61,67,76,76,123,223,212,212,213,212,212,210,210,210,209,209,211,213,214,209,182,200,218,200,150,116,95,76,90,89,90,79,136,227,213,215,213,213,212,211,212,211,211,210,213,216,216,216,186,191,203,185,141,117,107,84,96,95,94,80,158,228,214,217,216,215,214,213,212,212,211,210,216,216,218,218,190,183,187,171,146,142,113,88,95,95,95,87,197,226,217,217,218,217,217,216,215,213,212,211,216,217,219,221,196,187,186,170,152,142,110,92,96,102,86,122,228,220,220,218,219,219,218,217,216,215,214,211,217,218,219,221,201,200,185,168,144,123,103,95,98,100,93,200,229,221,221,220,220,219,218,217,217,216,215,214,218,218,220,218,205,212,191,173,155,124,100,93,94,95,189,232,223,223,223,223,222,221,219,218,218,217,216,216,218,218,222,217,207,212,189,177,160,118,92,92,81,165,239,224,226,224,224,224,223,223,222,220,220,218,217,216,219,221,225,218,205,193,178,165,142,97,85,87,96,219,227,227,226,225,225,225,224,224,223,222,222,219,218,217,221,222,224,215,206,179,166,162,153,94,90,85,128,233,226,229,227,225,227,226,225,225,224,223,222,221,220,219,220,222,222,213,215,183,164,177,178,101,94,85,143,241,227,229,228,227,227,226,226,226,225,224,223,224,220,212
14,99,101,103,105,108,110,112,114,114,114,115,118,119,118,120,121,121,120,121,121,122,122,122,122,122,121,121,121,99,102,103,106,109,111,113,113,114,115,118,119,120,120,122,123,122,123,123,123,124,125,123,123,123,122,123,123,100,102,104,107,109,111,113,114,116,117,118,119,121,121,121,125,127,125,125,124,125,126,125,124,125,124,124,124,100,103,104,108,111,112,115,116,116,118,124,121,124,122,111,103,108,120,125,128,128,126,127,126,126,126,125,126,102,106,108,111,112,114,115,117,114,134,140,130,119,106,97,98,92,93,89,91,121,129,126,126,126,126,125,126,103,106,109,112,113,115,117,113,129,156,126,100,88,70,52,69,82,75,57,56,68,132,128,128,128,128,128,128,104,107,108,111,114,115,117,114,162,142,94,62,50,43,43,40,50,54,53,61,48,94,138,129,130,131,129,127,104,107,109,113,115,117,112,139,168,114,79,61,36,33,38,27,33,49,63,62,50,54,85,94,100,133,129,130,107,108,111,114,116,117,114,165,140,87,64,44,32,41,37,28,30,42,66,67,40,59,45,66,79,133,130,132,107,110,111,114,118,112,134,171,116,76,58,33,25,33,30,39,33,109,133,128,104,64,62,69,86,137,130,131,108,110,113,115,118,115,167,159,109,74,63,54,35,18,30,35,61,136,133,133,141,85,86,70,85,140,130,132,107,111,116,119,111,140,179,149,108,73,62,54,40,32,32,36,112,137,131,134,131,81,94,73,65,136,132,132,108,112,116,119,109,151,176,147,106,68,58,49,35,39,34,67,141,132,133,135,131,75,92,79,51,114,139,132,110,113,116,121,108,148,179,147,112,79,55,41,31,36,28,92,141,132,134,137,129,72,85,80,56,99,141,132,110,114,117,122,109,149,180,147,114,89,63,42,34,35,23,102,144,135,134,139,118,85,99,86,62,110,140,132,110,115,118,123,108,156,178,149,120,90,68,51,31,32,24,79,135,136,138,145,106,88,102,89,68,124,140,134,111,115,117,124,108,158,179,153,120,97,76,63,36,35,42,42,59,72,95,123,83,89,99,85,75,133,139,138,113,115,118,124,108,157,176,151,123,101,84,73,48,34,47,49,52,61,69,71,72,94,98,79,81,141,137,137,113,117,121,124,110,155,171,150,125,105,86,72,57,34,48,56,68,77,83,85,69,74,94,75,92,144,137,138,114,119,121,124,110,157,170,151,126,106,84,70,63,41,53,65,79,83,84,84,73,65,79,69,110,145,138,140,116,120,122,124,109,156,164,146,122,102,80,69,65,51,56,68,79,83,83,83,75,70,76,64,124,144,139,139,116,120,122,126,113,151,157,139,120,100,82,75,67,60,64,72,77,81,79,78,76,76,68,90,141,140,139,140,116,119,123,125,118,154,158,140,122,102,90,81,72,64,69,75,77,81,77,75,78,73,100,139,142,142,141,140,117,120,123,126,120,161,160,141,125,103,90,78,72,69,67,75,77,80,76,80,71,108,146,143,142,143,142,142,117,121,125,128,117,163,161,144,127,103,84,72,74,74,70,76,79,81,81,71,92,144,143,142,143,143,141,143,118,123,125,127,119,164,155,140,123,98,79,74,77,76,74,79,83,82,72,90,140,143,143,144,144,143,141,143,120,123,126,127,121,162,152,140,125,101,77,75,77,74,72,78,82,74,98,144,144,144,144,144,144,144,143,142,121,124,126,127,126,158,154,142,133,111,77,72,73,73,72,76,75,95,143,146,145,144,144,144,144,144,144,144
19,192,194,195,197,199,200,200,200,200,200,200,201,200,200,200,199,198,197,196,196,196,195,194,193,192,191,191,191,194,193,195,197,199,200,201,201,201,200,201,201,200,201,201,200,199,198,198,198,197,194,194,195,193,192,193,191,194,194,196,197,199,201,203,202,203,202,202,201,201,201,203,201,200,199,199,200,198,196,196,197,195,194,194,193,194,196,198,200,200,201,203,202,203,204,204,202,201,203,202,202,201,201,200,200,200,198,198,196,196,195,194,193,195,197,198,200,202,202,203,205,205,203,202,205,207,202,203,203,202,202,200,200,201,201,200,198,196,195,194,194,196,201,200,202,204,206,206,204,207,211,189,164,189,209,204,205,204,203,201,201,201,201,201,199,197,196,196,195,198,201,203,204,205,206,206,207,207,241,218,179,130,189,211,204,206,204,203,203,202,202,202,200,198,198,196,195,199,200,202,204,205,206,208,211,202,231,246,207,146,115,207,207,207,205,204,205,204,202,203,201,199,199,198,197,202,203,203,206,208,209,210,210,208,214,244,213,161,91,163,218,205,207,205,204,203,202,201,201,200,199,199,197,202,204,205,209,209,209,211,213,206,213,236,202,153,94,128,221,205,208,206,204,205,203,202,201,200,200,200,199,202,204,207,209,209,212,215,212,223,255,227,193,175,126,137,208,206,212,212,208,206,204,204,203,202,200,200,200,204,206,210,211,213,214,212,212,255,246,209,187,199,212,206,192,182,185,192,204,210,208,207,203,203,203,200,201,206,209,210,212,213,216,208,243,255,217,164,138,164,210,231,229,215,201,173,175,179,196,204,208,204,201,201,201,208,212,211,212,213,212,225,255,249,226,190,135,114,154,199,217,226,225,211,197,186,192,178,180,195,207,206,201,210,212,212,214,217,212,254,255,233,213,193,187,162,151,158,168,176,192,206,219,225,230,210,171,163,159,193,206,209,211,212,216,215,225,255,243,202,174,174,165,196,201,181,166,149,130,142,163,176,204,218,208,188,149,143,182,209,212,215,218,216,252,255,252,202,170,162,153,161,203,211,201,179,139,113,165,187,179,178,179,178,178,173,183,212,214,214,213,229,255,255,241,205,187,189,191,184,165,176,195,192,163,143,136,211,217,205,193,179,174,170,172,212,214,216,214,249,255,255,224,196,195,209,208,207,183,110,154,158,163,166,133,189,221,214,216,214,208,199,194,213,216,213,234,255,255,251,208,174,150,188,225,225,220,134,155,129,129,132,151,215,216,215,215,213,213,213,212,213,213,219,255,255,255,251,204,171,153,138,178,193,208,201,173,146,139,128,208,219,216,216,215,213,212,211,209,214,211,236,255,255,255,238,196,182,180,180,167,138,167,218,189,164,134,193,226,216,216,217,216,212,210,209,207,215,217,255,255,255,255,236,204,193,188,186,175,163,156,155,155,145,174,223,218,219,218,216,214,214,213,211,210,211,232,255,255,255,251,232,213,197,198,194,176,155,147,151,122,186,225,220,219,219,218,218,216,214,213,211,211,210,246,255,255,255,245,218,201,178,179,187,176,164,158,143,173,234,222,220,218,220,220,219,218,216,214,214,212,215,255,255,255,251,237,218,180,143,127,135,152,150,154,176,219,226,224,223,221,220,220,220,219,217,215,215,213,232,255,247,237,235,213,180,147,126,98,168,217,202,213,228,225,225,224,225,223,221,219,218,218,216,214,212,212,253,252,227,221,206,177,147,132,125,110,216,236,232,230,226,226,227,226,224,222,221,219,218,218,215,214,214,212
4,149,149,148,148,148,148,147,147,146,144,144,142,143,145,142,141,141,137,137,136,135,135,135,135,133,130,128,128,150,149,150,149,150,149,148,148,148,146,146,147,147,146,142,139,141,143,137,136,136,136,136,135,133,132,129,128,152,152,151,151,150,149,150,150,149,148,137,124,128,141,144,118,89,109,146,141,141,141,135,135,134,132,130,130,153,153,152,151,151,151,151,151,150,151,142,135,122,102,103,116,107,70,110,129,105,119,139,135,135,134,132,131,153,153,152,153,153,153,152,152,145,144,140,134,129,123,83,62,98,101,69,64,71,50,108,142,134,134,134,132,155,154,154,154,153,154,152,149,137,137,125,95,57,105,90,40,65,100,70,38,64,55,60,143,134,135,135,133,156,155,155,155,155,154,154,150,150,138,129,104,52,70,92,46,48,81,54,36,77,73,44,126,140,136,135,134,155,155,155,155,154,154,156,149,109,81,107,122,69,64,99,89,74,73,43,46,84,75,43,123,142,135,135,134,157,156,156,156,155,155,154,156,122,67,33,129,106,78,99,117,118,77,74,75,74,94,58,120,142,136,134,134,157,157,157,156,156,156,157,148,105,60,14,69,107,63,66,83,108,84,77,80,75,87,53,86,148,136,136,134,158,157,158,159,157,156,158,138,102,85,74,45,45,55,45,39,60,89,80,75,72,69,60,56,144,138,136,136,159,158,159,160,158,156,158,142,129,108,75,48,36,52,49,53,45,58,71,66,63,80,78,42,124,143,138,137,160,160,160,160,159,158,159,147,130,98,70,45,43,49,53,71,65,43,30,71,109,103,85,46,93,148,136,136,161,161,162,161,161,159,158,149,117,85,58,40,42,52,71,75,74,72,83,92,106,109,96,66,64,146,137,135,162,162,162,161,161,158,158,148,122,98,68,47,52,60,72,85,84,101,124,124,102,125,116,80,47,136,140,137,163,162,163,162,162,160,157,153,132,104,75,50,49,60,84,97,103,111,124,132,125,108,103,76,36,127,143,137,162,162,162,163,163,161,157,148,135,112,85,53,49,66,86,101,116,123,131,127,115,104,80,58,38,137,142,138,161,162,162,163,164,162,155,143,141,123,96,68,53,54,84,111,122,135,137,125,106,91,73,32,75,151,138,139,162,163,162,163,164,163,154,138,141,128,101,81,63,52,86,123,132,141,134,118,97,84,59,29,129,146,140,140,162,162,162,162,163,163,153,135,133,126,104,85,68,60,86,131,133,134,124,107,88,75,39,70,154,141,142,141,162,163,163,164,164,165,154,133,129,128,115,91,76,69,95,132,128,122,112,95,79,63,31,124,149,143,141,140,163,163,165,165,165,166,158,131,130,132,119,96,86,73,101,127,123,117,101,80,69,39,61,154,145,145,143,141,163,164,165,164,164,166,164,140,133,136,124,103,88,70,98,121,117,110,90,68,56,28,124,153,147,146,144,142,164,166,165,164,165,166,166,145,141,139,122,108,92,72,88,114,105,94,73,60,25,78,159,147,147,146,144,142,164,165,164,166,166,166,164,151,147,135,122,112,98,79,81,96,89,75,61,36,43,150,150,147,147,145,143,143,165,166,166,166,166,166,164,153,148,133,120,107,95,84,76,82,79,63,48,21,126,156,149,148,148,146,144,143,167,166,166,166,165,167,159,152,143,133,124,116,107,99,82,75,73,59,26,76,161,149,150,148,146,146,145,143,166,166,167,167,166,166,151,151,145,135,125,123,109,102,86,73,66,47,30,135,157,153,151,149,147,146,144,143
4,169,169,169,169,168,168,167,166,166,165,165,164,164,163,164,163,158,158,157,156,156,156,155,155,153,150,150,148,170,170,170,170,170,168,168,169,168,169,168,168,165,162,152,153,165,159,158,157,157,156,155,156,153,150,150,148,171,172,171,171,171,170,169,169,167,150,140,152,164,159,126,96,121,168,161,159,163,158,156,155,154,153,150,150,173,173,172,171,171,172,171,172,171,159,150,128,119,125,143,124,87,127,134,108,117,157,158,156,155,155,153,150,174,173,173,172,172,173,172,167,168,162,160,156,130,92,93,129,118,83,80,97,63,116,167,155,156,155,154,153,175,174,173,174,174,173,163,153,152,139,100,101,137,92,55,105,114,84,55,90,78,77,163,157,156,155,153,152,175,175,175,175,175,174,172,173,157,141,102,63,113,95,54,82,99,67,61,101,91,63,149,161,155,155,154,153,176,177,176,177,175,177,153,131,118,149,113,70,94,116,90,80,90,54,71,105,88,63,149,161,156,155,154,153,177,177,176,177,175,179,163,114,65,114,145,101,101,126,138,119,96,91,89,98,108,77,149,162,158,156,155,154,177,178,177,178,177,179,162,117,56,41,141,120,89,104,128,131,96,103,101,97,115,69,114,170,157,157,156,155,178,179,179,179,177,177,140,100,84,76,70,87,71,65,69,106,102,96,95,94,90,74,77,166,159,158,157,157,180,180,180,180,177,175,153,142,119,91,60,54,70,64,62,65,91,97,87,80,91,92,59,147,164,159,157,156,180,180,180,179,180,176,158,144,113,83,60,63,66,71,86,72,58,52,83,108,118,103,61,112,170,158,157,155,180,181,181,180,180,176,166,135,101,74,60,61,71,90,90,89,84,88,107,132,123,108,81,80,168,158,159,156,181,182,182,182,179,179,158,128,102,74,61,70,81,92,103,101,120,145,134,113,145,132,102,63,152,163,160,158,182,182,182,183,180,178,166,145,116,85,68,72,79,104,117,120,132,146,155,141,133,132,103,54,135,168,159,158,183,183,183,183,182,177,166,147,121,90,66,69,89,109,121,135,140,152,151,141,127,105,89,51,142,167,159,159,183,183,183,183,184,174,164,155,133,103,77,72,79,108,129,142,152,158,148,129,117,96,62,69,167,163,161,159,183,183,183,183,183,171,159,160,141,115,92,76,73,112,141,151,162,158,143,121,107,86,44,120,171,161,161,160,183,183,183,183,183,170,154,157,142,118,99,83,76,111,150,154,159,150,132,113,97,70,59,166,165,163,162,161,183,183,184,184,185,169,152,149,141,125,104,89,86,115,155,150,146,139,120,102,90,52,110,177,163,164,161,160,183,184,186,185,186,170,149,147,148,132,108,101,92,120,149,145,139,126,109,94,75,54,158,170,166,163,162,161,184,184,185,185,185,177,152,150,149,136,114,108,92,122,142,139,134,116,95,85,48,98,179,167,168,164,163,162,185,186,185,185,186,185,161,154,156,140,122,108,91,115,139,132,123,103,85,65,52,162,172,169,168,164,164,163,185,186,185,186,186,185,166,164,157,139,127,112,93,103,125,118,105,85,73,40,127,180,169,168,167,166,164,162,186,186,186,186,187,183,173,167,153,140,129,115,99,98,109,104,87,75,43,88,180,170,170,168,167,167,164,163,186,186,186,186,187,184,174,166,150,138,126,114,107,98,98,96,81,59,49,166,175,171,170,169,167,166,165,163,186,186,186,186,188,179,172,162,152,143,138,129,122,105,93,91,75,43,105,184,172,173,170,169,167,166,164,163
13,197,198,199,199,199,199,199,200,200,199,200,201,201,201,201,202,202,202,202,201,200,200,200,200,199,198,196,197,198,199,199,199,200,200,201,200,200,201,202,202,201,201,198,197,201,202,201,202,200,200,202,201,200,199,197,198,199,200,200,200,201,201,201,200,201,201,201,204,214,215,197,166,157,182,186,197,201,203,203,203,201,201,199,199,199,200,201,200,201,201,201,201,201,201,201,219,228,228,214,169,128,103,133,136,200,203,203,202,201,202,199,200,200,200,201,201,201,201,202,202,201,200,200,194,198,219,219,180,130,90,111,99,173,203,202,203,202,202,202,202,200,200,201,202,202,202,202,204,202,174,187,186,173,188,210,191,142,97,121,132,155,205,204,204,203,203,203,203,200,201,202,203,203,203,202,217,217,167,165,184,191,200,198,194,161,99,119,129,149,206,206,204,205,204,203,203,201,201,202,203,203,204,201,226,217,186,163,136,163,188,188,160,124,86,80,130,188,207,207,205,205,205,204,204,200,202,202,203,203,209,172,159,197,206,184,128,80,143,180,162,142,118,102,113,202,207,207,206,205,205,205,204,200,201,201,199,215,216,154,120,131,212,200,150,76,65,111,145,168,180,154,114,151,207,207,206,206,205,205,203,200,200,201,215,221,199,149,126,92,191,208,161,116,59,65,85,189,206,193,153,111,174,207,205,205,204,204,203,201,200,211,220,192,189,160,142,93,144,209,177,148,84,64,68,153,215,209,172,132,114,198,205,204,205,204,203,202,203,216,192,162,181,170,154,109,79,189,199,172,123,64,95,165,209,209,175,146,112,167,207,206,205,205,205,202,207,221,203,172,169,181,158,137,90,101,195,190,160,113,129,211,206,193,165,145,112,162,208,207,207,206,206,201,208,216,202,180,154,171,173,169,130,66,118,199,189,178,152,210,198,176,142,121,99,177,208,207,206,206,206,201,206,220,216,198,174,149,165,180,154,129,76,169,190,185,195,202,185,164,134,104,95,196,209,208,207,207,206,190,191,220,225,212,189,173,162,165,161,171,118,196,215,212,210,196,176,154,125,100,114,206,210,209,208,207,206,119,119,207,226,220,200,184,178,179,162,141,153,213,225,225,205,190,172,146,116,97,130,187,190,192,192,194,194,100,94,176,225,222,209,194,185,186,183,159,153,201,224,222,203,178,158,138,109,96,102,110,112,113,115,118,120,102,101,134,218,218,215,209,196,190,186,172,148,171,214,213,196,172,144,122,103,94,101,100,98,98,108,134,159,103,103,104,195,208,210,212,208,197,186,172,157,145,197,198,182,162,135,113,100,92,110,124,143,171,192,201,195,102,104,102,140,205,206,212,214,200,186,171,156,146,164,182,167,143,127,110,94,102,165,201,207,204,200,205,200,103,103,104,101,172,207,209,207,192,179,165,152,141,142,159,158,143,122,103,88,155,220,216,202,193,181,181,189,103,103,103,101,114,202,204,190,177,167,158,148,129,126,145,161,147,114,95,90,206,220,211,195,171,152,148,163,103,103,102,102,98,178,206,182,163,162,156,145,127,114,148,168,138,103,88,132,228,218,214,194,153,126,140,152,103,104,101,103,101,146,207,189,176,174,159,142,127,114,151,165,120,96,83,192,223,213,223,205,156,113,126,149,103,104,101,103,101,130,210,198,188,186,167,148,135,116,149,154,114,92,96,219,211,206,224,222,173,117,110,140,104,105,101,102,101,128,204,206,200,192,171,157,143,112,143,149,111,87,123,220,209,201,217,230,190,124,100,122
12,171,173,173,173,174,175,176,176,176,177,176,177,177,177,177,178,178,177,178,178,176,177,177,177,176,176,176,175,172,173,174,176,175,176,177,177,176,178,177,178,178,178,178,179,178,178,179,179,178,177,177,178,177,177,177,177,172,173,175,177,177,177,179,179,178,179,179,180,179,179,180,180,180,180,181,180,179,179,179,179,179,178,178,178,173,175,175,176,177,178,180,180,178,179,180,180,180,180,181,182,181,182,181,180,180,181,180,180,180,180,179,179,175,176,177,178,178,178,180,181,180,180,180,182,180,188,182,178,183,181,183,184,182,182,182,182,181,181,181,180,177,178,179,179,180,180,181,182,180,188,191,177,188,201,190,151,162,191,183,171,184,182,183,183,183,182,182,181,177,178,179,180,181,182,183,180,193,217,204,165,178,208,194,138,119,193,185,139,157,187,182,184,184,184,184,183,178,179,181,182,182,182,184,177,200,220,207,164,167,213,193,145,111,190,178,138,116,185,186,185,184,184,185,184,178,180,182,183,183,184,183,180,205,218,208,164,164,215,189,157,134,193,164,126,101,173,191,186,186,185,185,185,180,182,182,183,184,181,195,204,181,191,207,187,147,211,197,156,151,194,171,122,95,165,193,186,187,187,187,186,180,182,183,184,184,185,219,205,162,153,186,177,127,200,195,129,155,201,159,114,93,160,195,187,188,187,187,186,182,183,185,186,181,202,220,208,181,133,163,137,97,137,141,106,161,168,118,96,91,158,197,188,190,189,188,188,183,185,185,187,183,212,218,213,188,148,136,133,88,83,98,163,183,163,126,128,114,160,198,189,190,190,189,188,184,185,188,186,188,215,198,211,192,168,122,106,114,98,163,218,212,193,165,164,136,162,199,190,191,190,190,189,184,187,188,186,193,220,206,192,193,170,134,105,106,152,220,216,208,192,167,156,128,147,200,191,192,190,190,190,186,188,188,185,206,220,211,174,188,170,143,111,101,208,220,215,208,193,172,146,118,147,202,192,193,191,191,192,187,188,190,185,210,220,215,196,174,169,179,134,132,220,218,216,207,190,162,142,114,150,202,192,195,193,192,193,188,189,192,187,203,220,217,199,171,153,171,165,191,220,217,216,206,185,160,140,116,134,201,193,196,195,193,194,189,189,192,188,205,220,218,204,192,180,164,200,216,220,214,214,206,181,164,135,114,127,202,196,195,195,194,194,189,190,192,189,207,220,220,213,205,200,186,201,209,220,209,209,201,184,160,132,105,145,205,195,196,195,196,195,189,191,193,190,205,220,220,218,210,202,191,195,201,218,207,199,193,184,149,127,102,180,200,196,198,197,197,196,190,192,194,193,199,220,220,219,212,197,189,195,196,212,202,190,190,175,141,110,127,205,196,198,198,198,198,196,190,191,193,194,193,216,219,216,208,192,183,192,193,202,195,187,181,159,126,98,175,204,198,199,199,198,198,198,191,193,196,199,196,215,220,212,204,191,188,195,200,213,202,188,172,143,101,129,206,199,200,199,200,199,199,198,190,185,182,176,165,174,170,149,146,144,143,148,144,149,139,131,127,115,93,189,215,201,202,201,201,201,201,199,144,140,133,126,111,102,100,94,88,82,76,74,63,62,62,61,60,64,67,108,162,202,203,200,201,201,201,200,126,127,128,122,112,105,103,96,90,85,81,74,67,65,65,63,60,57,55,48,52,185,205,200,200,200,199,199,139,126,128,120,111,104,100,95,90,81,78,72,66,64,64,62,58,55,58,47,100,207,198,201,200,200,199,199
21,171,174,177,180,181,183,185,186,187,188,188,189,190,190,191,189,188,188,188,187,187,186,185,186,184,182,182,182,171,174,178,181,182,184,186,187,188,189,190,191,192,192,191,191,192,190,190,188,188,187,186,186,186,184,183,183,172,175,178,181,183,186,187,187,189,190,192,193,194,192,198,168,168,196,191,191,190,189,188,187,186,186,185,184,173,176,179,182,184,186,188,188,190,192,194,194,194,194,210,154,134,198,192,192,190,190,189,188,188,187,186,185,173,177,181,183,185,188,190,190,191,194,195,195,193,196,207,154,144,199,193,193,192,190,191,191,189,188,188,187,175,178,181,185,186,188,190,192,193,194,195,196,193,202,206,151,146,200,193,194,193,172,151,191,191,190,189,188,177,180,182,185,188,189,192,193,194,194,195,197,195,206,206,152,152,202,194,194,190,160,128,188,193,191,190,189,177,180,183,186,189,191,193,194,195,196,197,199,197,207,203,153,154,202,195,194,187,153,140,197,192,192,191,189,176,179,183,187,189,191,193,194,196,198,198,199,197,210,200,152,150,204,196,193,182,142,158,201,193,193,192,190,177,181,184,188,189,192,194,195,197,199,199,200,197,214,200,151,147,204,197,191,178,137,181,199,195,194,193,192,179,182,186,190,191,193,195,196,198,199,200,201,198,220,201,145,157,207,192,187,163,140,198,197,196,195,194,193,180,183,187,189,192,194,195,197,199,199,199,198,204,218,187,137,168,205,188,187,140,155,204,197,196,196,195,195,180,184,187,189,192,194,196,198,198,205,187,162,181,201,162,125,171,203,195,177,131,184,203,198,196,196,196,195,180,185,188,190,193,195,197,199,198,206,186,148,141,137,134,121,178,200,194,155,141,203,200,199,199,198,197,196,180,185,188,190,194,196,198,199,203,201,196,181,165,132,117,135,167,179,176,134,168,208,199,200,200,198,198,197,182,186,189,191,194,197,200,199,213,217,209,220,193,157,117,129,140,152,148,129,193,205,200,201,201,200,199,199,183,186,189,193,195,198,198,207,202,200,206,217,185,143,124,120,130,136,129,146,208,203,203,203,202,201,200,199,183,187,190,193,196,199,198,213,180,172,196,176,180,151,131,122,119,129,120,170,213,203,204,203,203,202,200,200,183,186,191,194,197,200,199,216,200,176,154,132,186,171,139,126,118,122,121,186,212,205,205,204,204,202,201,202,184,187,191,195,197,199,202,216,190,156,138,121,168,185,152,132,124,122,117,186,212,205,205,205,204,204,202,202,184,188,191,195,198,198,206,218,183,171,168,143,189,199,166,151,129,125,117,185,214,205,205,206,205,205,203,202,184,188,192,196,199,198,212,219,191,186,160,175,233,200,170,162,135,128,122,190,214,207,207,207,205,205,204,204,184,188,192,197,200,198,213,221,207,178,165,221,224,189,164,160,140,130,126,194,214,208,208,207,206,206,205,204,185,189,193,197,200,199,213,231,208,173,180,226,212,186,161,151,143,131,134,203,213,209,209,209,208,206,206,205,184,188,193,196,200,199,212,224,188,185,182,224,208,190,175,144,137,131,143,211,211,209,209,209,207,207,206,206,182,187,193,195,197,198,209,208,186,203,176,222,209,183,174,148,135,130,155,214,209,209,209,208,206,205,205,205,183,188,192,195,198,199,205,202,212,208,180,219,198,173,158,144,138,129,165,215,209,210,209,208,207,206,206,205,183,188,193,196,198,200,202,205,214,197,175,207,187,164,145,137,135,127,177,216,210,211,210,209,208,206,206,205
19,195,196,199,199,198,198,198,197,197,197,197,196,196,195,194,195,193,193,191,191,190,189,189,187,186,185,184,182,197,198,199,198,199,199,199,199,198,198,198,197,196,196,195,194,195,193,191,191,190,189,189,187,188,187,184,183,199,199,198,200,202,202,201,204,203,198,199,199,199,197,196,195,196,195,194,192,192,191,190,190,188,186,184,185,199,200,203,202,202,203,194,178,185,205,198,200,200,197,197,197,196,195,194,192,193,192,191,190,188,187,186,185,201,202,203,204,198,220,213,180,140,177,207,200,201,198,199,198,197,196,195,194,193,193,192,190,188,189,187,186,202,203,203,205,201,211,240,208,164,116,193,205,201,200,198,198,198,197,196,195,194,194,193,191,190,190,188,185,204,205,205,206,205,203,235,221,180,111,138,214,201,200,199,199,199,197,196,195,195,194,194,192,191,190,188,187,206,206,206,206,206,199,228,218,171,120,105,203,203,202,201,199,199,199,196,195,196,195,195,194,192,190,189,187,208,206,208,209,205,226,223,198,169,120,99,198,209,207,204,202,201,201,198,196,198,197,195,195,194,192,189,188,207,208,210,204,236,254,222,193,194,182,163,186,189,195,205,206,204,202,200,198,196,196,196,195,194,193,190,190,210,211,206,219,247,210,174,166,188,218,224,209,191,178,169,184,197,203,204,199,198,198,197,196,195,194,191,190,211,211,209,250,241,215,162,122,135,187,220,229,225,217,188,177,169,182,190,200,202,201,198,197,196,194,193,191,213,207,236,255,233,214,194,161,134,145,173,194,208,217,214,213,207,204,179,164,178,194,204,198,196,195,194,192,212,213,247,232,205,191,184,185,191,177,163,158,156,166,185,200,214,226,217,186,166,143,168,197,199,195,194,191,208,233,255,228,185,161,163,150,191,209,195,181,157,125,126,166,170,187,196,197,189,164,152,172,185,198,194,193,215,255,255,227,196,180,176,172,167,187,207,202,182,147,128,170,206,191,181,172,171,175,182,172,155,202,195,194,232,255,246,218,198,196,200,201,195,151,145,181,182,167,155,131,204,213,210,205,193,182,172,168,186,200,196,195,249,254,231,201,176,188,220,212,216,165,125,154,139,156,160,143,206,210,209,209,209,208,202,202,201,197,197,196,250,255,229,186,161,135,178,211,230,197,174,152,140,126,128,187,213,209,209,208,205,204,204,203,200,197,196,195,255,255,217,188,176,171,160,165,152,205,210,166,160,131,181,217,209,210,210,209,207,205,204,202,201,200,197,195,255,246,213,193,187,186,185,171,154,177,187,182,144,162,219,211,210,211,211,209,207,205,204,203,203,201,199,196,253,238,220,202,198,194,183,167,155,154,143,131,172,213,216,213,213,211,211,210,208,206,206,204,203,201,200,197,250,229,211,196,190,197,188,171,155,160,140,167,221,216,215,213,214,212,211,210,208,208,207,206,204,203,200,197,243,227,207,172,151,152,158,160,156,152,163,217,218,216,216,214,212,211,210,210,209,208,206,205,204,202,200,200,228,209,180,142,122,104,157,184,172,193,220,222,223,221,221,219,216,216,216,215,215,211,206,203,206,210,210,201,206,176,144,133,121,112,188,204,199,199,195,195,194,192,192,192,192,191,193,186,180,191,209,217,216,202,196,187,169,148,134,130,124,122,122,119,116,114,114,116,115,113,112,113,114,112,105,127,172,207,210,199,192,200,203,167,144,134,129,126,128,126,122,122,119,117,118,117,116,115,113,114,113,109,163,221,213,201,190,195,179,202,231,175
1,148,150,155,157,160,160,161,163,164,164,165,164,166,169,165,165,166,166,166,166,167,166,167,166,165,165,165,163,151,154,157,160,163,164,165,166,166,168,168,173,160,155,171,167,169,169,169,168,169,169,169,169,168,167,166,166,154,159,161,164,165,167,168,168,170,171,165,184,169,101,177,178,173,173,172,172,172,173,173,173,172,171,170,169,158,161,164,167,169,171,171,172,170,190,170,138,181,90,146,154,178,177,176,176,176,176,177,176,175,175,174,173,160,164,166,170,173,174,174,178,172,199,172,115,182,92,101,109,145,187,177,178,179,179,180,178,177,178,177,175,162,166,170,173,176,176,177,180,177,200,179,117,185,119,106,132,105,192,179,181,182,182,182,180,179,179,179,178,165,169,174,175,177,180,181,185,174,190,200,116,179,148,98,145,93,173,186,184,185,184,184,184,183,182,181,181,168,172,175,178,179,183,181,192,184,125,207,127,153,159,102,159,119,147,196,186,187,188,188,187,186,185,185,182,172,175,178,181,183,186,183,200,188,100,200,139,130,168,118,173,159,118,192,188,189,190,188,188,188,187,186,184,175,178,181,182,186,189,185,200,191,106,194,149,132,188,140,145,184,113,172,198,192,193,191,190,190,189,188,186,177,179,182,184,187,190,187,203,204,115,194,185,129,191,152,122,199,140,141,204,192,195,195,194,193,191,190,188,178,181,184,186,190,192,190,206,204,114,181,199,117,154,157,108,203,168,121,198,197,197,196,196,195,194,193,192,181,184,186,189,193,195,192,204,206,137,140,192,89,131,170,95,180,182,117,179,205,198,199,198,197,198,196,194,184,186,188,192,194,196,195,205,214,155,101,186,149,156,161,168,188,147,119,151,211,198,200,200,199,199,197,195,184,187,190,193,195,197,197,206,216,141,110,167,204,162,146,205,182,132,132,108,204,203,202,201,200,199,199,197,184,188,191,194,196,200,199,206,210,170,183,135,173,166,169,213,158,130,141,99,168,213,203,203,202,202,200,200,185,189,192,194,197,201,200,207,213,192,182,134,137,182,217,207,190,158,120,100,128,215,205,206,204,202,202,201,185,190,194,196,198,202,200,214,215,171,163,137,161,210,212,170,182,205,174,121,96,209,208,207,206,205,205,204,187,190,195,199,200,202,200,217,224,165,143,157,184,165,149,109,165,227,211,174,110,183,215,208,208,208,207,204,187,191,195,197,201,201,201,213,237,182,139,142,128,125,119,175,195,205,207,169,125,136,220,208,210,208,207,206,187,191,193,195,200,201,201,206,235,206,138,149,156,177,211,230,221,204,190,155,101,131,220,208,209,209,208,207,187,191,194,196,200,202,201,205,229,228,157,156,171,180,228,229,225,204,177,149,89,139,221,206,209,209,208,207,188,192,194,198,200,201,203,203,226,242,185,161,183,169,222,239,231,204,168,140,86,154,221,209,211,210,209,208,189,192,194,197,200,201,203,203,217,239,206,171,204,161,209,242,230,197,158,127,84,169,221,210,213,210,209,209,189,192,194,196,199,201,204,204,207,228,219,188,211,169,186,239,217,184,152,119,82,177,221,210,213,211,209,207,189,195,198,201,205,208,208,212,210,219,224,209,201,181,157,228,213,180,143,111,81,192,223,214,212,211,212,212,116,121,125,131,135,138,141,146,142,178,233,217,192,175,145,191,204,166,129,103,93,191,201,205,214,219,213,209,95,93,94,95,95,96,98,100,90,127,226,201,180,165,140,161,185,151,117,101,99,111,151,208,204,201,219,208
19,172,172,175,175,174,174,174,173,173,173,173,172,172,171,170,171,169,169,168,167,166,165,165,164,163,162,161,159,173,174,174,174,175,175,175,175,174,174,174,173,172,172,171,171,171,170,168,167,167,166,166,164,164,164,161,160,174,175,174,176,177,177,176,178,178,175,175,175,174,173,172,172,172,171,170,168,168,167,167,166,165,163,161,161,175,176,178,178,177,179,170,157,161,179,175,176,176,173,173,172,172,171,171,169,169,168,168,166,165,163,162,161,177,178,178,179,176,194,187,159,123,154,180,177,177,174,175,174,173,172,171,170,170,169,168,167,165,165,164,163,178,178,178,180,177,186,211,182,142,101,167,180,177,176,174,174,174,173,172,171,170,170,169,167,167,166,164,162,180,181,180,181,180,179,209,194,154,96,119,184,179,176,175,175,175,174,172,171,171,170,170,169,168,166,164,164,181,182,181,182,181,177,202,191,148,101,87,177,180,178,177,175,175,175,172,171,172,171,171,170,169,167,165,164,183,182,183,184,182,200,198,174,147,103,85,172,182,182,180,178,177,177,174,172,174,173,171,171,170,168,166,164,182,183,184,181,209,222,195,169,170,159,142,163,166,172,179,180,179,178,176,174,172,172,172,171,171,170,167,166,185,185,183,195,217,187,153,144,162,189,196,185,169,157,149,161,173,178,178,175,174,174,173,172,171,170,167,166,186,186,186,221,215,190,141,106,117,163,193,201,198,191,166,157,148,160,167,175,176,176,175,173,172,170,169,167,187,184,209,226,206,188,168,139,116,126,152,171,183,189,186,185,182,180,158,144,155,169,177,174,172,171,170,168,187,189,219,206,181,168,161,160,165,154,143,138,136,145,161,177,188,197,189,162,145,125,147,172,175,171,170,168,185,208,228,203,163,141,141,132,167,181,171,157,136,108,108,143,150,165,173,172,163,142,132,149,162,173,171,169,191,230,233,201,172,157,153,149,147,163,180,177,158,126,111,146,180,169,159,151,150,153,156,151,136,175,172,171,207,232,219,192,173,171,176,176,169,134,126,157,158,144,132,114,179,186,184,180,170,160,150,147,162,175,172,171,222,227,205,176,154,164,191,189,187,144,111,130,121,133,137,124,181,185,185,184,183,182,178,176,176,173,173,172,223,227,203,163,140,118,155,186,200,172,152,130,120,107,112,162,187,185,185,183,181,180,180,179,176,173,172,171,232,231,192,165,153,149,140,143,134,179,182,146,135,113,159,188,186,185,185,184,182,180,179,178,177,175,173,171,234,219,189,170,163,162,159,148,134,154,163,155,127,141,190,187,186,186,186,184,182,180,180,179,179,177,175,172,226,211,194,178,173,171,160,145,133,133,123,115,150,186,191,188,188,186,186,185,183,182,181,180,178,177,175,173,222,203,186,172,166,171,162,147,133,135,122,147,192,192,191,188,189,187,186,185,183,183,182,181,180,178,176,173,216,200,181,149,131,131,138,141,136,133,143,189,194,192,192,190,188,187,186,186,185,184,182,180,179,179,176,176,202,183,157,122,102,90,135,158,151,169,191,196,196,194,194,192,189,189,189,188,187,185,182,179,182,184,184,177,180,153,124,113,101,95,161,175,173,172,170,170,169,168,167,167,167,166,166,163,159,169,184,191,190,178,173,163,147,127,114,110,105,102,104,103,100,98,97,99,98,96,95,96,96,95,92,111,151,183,185,176,170,175,179,147,124,114,110,107,108,106,103,102,99,97,98,98,96,95,94,94,93,92,141,192,186,176,167,172,158,177,201,154
14,131,136,141,146,151,154,156,159,163,164,164,167,169,169,171,170,171,169,170,169,169,169,168,167,167,166,164,164,130,137,142,147,153,156,157,160,163,163,166,168,169,171,172,172,171,171,172,171,170,170,169,168,168,167,166,165,132,138,144,150,155,155,158,162,165,166,168,170,171,172,173,175,175,172,172,171,172,171,170,169,169,169,167,166,133,140,147,151,155,157,160,164,166,168,171,172,173,175,174,178,176,175,175,172,173,173,172,171,171,171,170,168,135,142,148,153,155,160,162,166,169,169,172,174,174,175,182,173,177,176,174,178,178,173,173,173,173,172,171,170,136,141,148,153,158,161,162,167,170,171,173,178,170,212,233,209,212,199,167,150,163,181,171,173,175,173,171,170,136,144,151,155,159,161,163,169,171,172,175,173,184,236,231,231,215,195,180,161,146,146,177,178,172,173,173,172,137,147,152,157,160,164,167,169,173,173,178,170,222,242,206,177,151,121,125,145,136,68,86,172,177,174,174,174,138,147,153,158,162,165,169,171,175,178,177,183,247,231,156,79,65,65,68,90,88,78,65,81,179,178,176,175,141,148,153,158,164,167,170,174,175,181,170,214,251,208,117,44,54,66,47,55,83,116,95,40,110,187,177,178,142,149,155,160,164,169,171,173,177,179,174,250,232,153,61,28,62,70,52,61,68,70,79,102,74,131,185,176,145,152,157,161,167,170,172,173,178,173,205,255,177,88,33,32,31,40,65,63,72,74,90,113,107,119,127,182,147,152,158,163,168,171,173,178,179,181,255,240,155,91,60,56,46,33,67,73,134,114,104,91,157,128,109,187,147,154,160,165,169,171,175,181,173,212,255,223,148,93,75,62,61,65,50,137,199,192,182,159,178,92,118,192,148,156,162,167,172,174,177,183,172,234,255,212,137,88,75,59,60,66,89,194,190,189,189,166,171,91,115,194,149,155,162,168,172,176,180,183,175,244,255,208,127,76,61,50,62,57,139,200,189,194,183,159,161,95,96,191,150,156,163,168,173,175,180,181,178,255,255,208,140,79,52,51,49,30,158,209,189,198,163,147,148,107,92,182,150,158,164,169,174,176,180,180,186,255,254,205,140,81,52,39,38,34,60,158,204,190,143,152,134,102,126,190,151,156,163,169,174,178,183,178,205,255,245,200,141,84,44,32,49,65,59,64,109,122,152,167,134,102,179,190,152,158,164,169,174,179,186,175,226,255,240,194,143,86,44,31,48,61,67,86,83,105,158,149,105,145,197,187,150,158,165,169,176,180,186,177,246,255,232,186,147,92,49,38,52,61,83,111,116,112,144,116,120,196,190,189,148,155,165,169,174,179,182,181,255,255,219,183,165,95,57,60,74,86,111,121,111,105,112,96,173,197,190,190,148,158,167,171,176,180,181,186,255,246,206,200,170,86,76,65,88,108,125,115,103,97,85,133,199,191,192,191,151,160,167,172,178,181,180,191,253,234,210,215,167,106,92,65,94,118,125,107,95,85,144,198,195,196,195,192,150,160,167,172,177,182,181,194,249,236,223,222,178,126,96,70,87,114,116,102,84,110,205,197,196,197,196,193,150,160,168,173,178,183,180,203,255,248,237,227,182,128,97,79,82,106,103,95,82,167,203,197,199,196,194,191,151,158,166,172,177,182,177,210,255,248,244,216,165,119,97,85,84,96,94,82,137,203,198,199,198,196,194,191,149,155,162,168,173,180,174,216,255,245,236,187,141,108,95,90,92,93,89,135,202,198,199,198,196,194,192,190
12,200,202,203,205,207,207,208,209,209,209,209,210,210,212,212,211,211,212,213,211,211,212,212,211,211,210,209,209,203,204,206,206,207,208,209,212,210,211,211,212,211,212,212,215,213,215,215,213,213,214,213,212,212,212,211,210,205,206,207,208,209,209,211,213,212,212,211,214,214,218,216,205,215,215,215,217,215,214,215,214,214,213,213,213,206,208,209,211,211,212,212,214,212,217,227,213,210,241,231,183,167,224,220,196,211,216,215,215,215,215,215,214,207,208,210,212,213,215,214,213,217,255,253,210,186,251,235,177,110,208,230,171,158,221,217,217,217,216,217,216,208,209,212,214,214,215,216,211,222,255,255,206,180,253,233,187,109,212,211,167,111,201,225,216,218,217,217,217,209,211,213,215,215,217,216,212,231,255,253,209,173,255,228,195,142,227,199,145,99,172,232,217,220,220,220,220,211,213,215,215,217,214,226,251,210,209,242,243,159,238,249,185,161,230,209,145,89,157,232,219,221,221,221,220,212,214,216,217,218,214,255,255,205,158,201,209,136,211,240,140,161,243,183,126,85,150,231,220,223,223,222,221,214,216,217,219,215,231,255,255,229,156,169,165,94,123,147,109,170,198,124,96,88,143,235,222,224,224,222,222,215,217,218,219,215,246,255,255,232,183,139,150,97,80,82,192,225,202,151,145,132,151,238,223,225,225,223,223,217,218,220,221,216,254,237,248,239,201,151,98,127,105,188,255,255,234,195,190,164,159,238,225,227,225,225,224,217,220,220,220,221,255,255,223,229,205,158,108,103,166,255,255,252,232,201,176,148,136,234,228,228,226,225,226,220,221,223,219,235,255,255,215,212,208,171,133,91,240,255,255,252,233,204,168,132,136,236,229,230,228,227,228,220,223,226,220,236,255,255,243,199,192,213,177,134,255,255,255,252,230,190,161,126,136,239,229,231,230,229,229,220,223,225,224,229,255,255,243,210,179,185,200,226,255,255,255,252,223,189,158,130,121,233,234,232,232,230,229,222,223,226,223,232,255,255,251,234,225,192,236,255,255,255,255,252,216,194,152,124,118,233,236,232,232,232,231,223,224,226,224,236,255,255,255,248,243,222,235,246,255,254,250,243,221,187,148,110,143,245,232,235,233,234,234,223,225,228,227,234,255,255,255,255,244,229,233,234,255,250,237,229,221,171,136,99,198,244,233,236,235,235,234,225,226,229,230,230,255,255,255,255,238,222,233,234,252,242,227,226,206,156,112,125,243,237,236,236,236,236,235,225,226,228,232,228,251,255,255,253,230,215,225,231,244,238,225,213,182,137,92,197,247,237,237,237,236,236,236,229,232,235,239,233,252,255,246,238,227,221,231,236,254,241,219,198,163,102,136,246,238,241,238,237,238,239,237,218,204,192,182,164,159,158,135,128,128,121,126,116,117,112,106,106,102,78,200,255,242,242,241,240,240,241,239,154,142,135,132,113,99,97,91,80,70,64,61,45,42,44,40,37,39,43,68,130,227,243,239,239,239,238,238,150,135,139,130,117,107,103,95,85,77,72,65,53,51,49,47,42,39,37,32,15,208,247,238,239,238,237,237,177,131,138,130,117,108,97,92,83,74,69,61,51,49,50,47,40,37,39,20,115,255,237,240,239,238,239,238,198,133,137,125,116,107,95,89,80,72,67,59,51,51,49,46,39,33,36,20,202,255,240,242,241,240,241,241,210,136,134,126,119,107,99,89,81,70,64,60,52,51,49,45,40,34,34,39,230,247,245,245,242,242,242,242
22,140,142,144,147,152,153,155,158,160,161,160,165,165,165,164,161,168,165,168,169,167,168,168,168,168,168,167,166,142,144,148,150,152,156,158,161,164,165,117,151,172,168,176,114,153,175,159,159,173,171,170,170,171,170,170,169,143,146,150,152,155,159,161,162,168,160,94,143,176,174,184,99,143,185,154,107,174,173,172,172,174,174,173,172,145,148,152,155,158,162,164,164,173,157,80,146,177,180,182,106,152,187,158,95,169,177,175,175,176,177,176,174,148,152,154,157,160,164,166,167,178,159,83,148,179,185,174,109,160,190,156,97,169,179,177,178,179,179,178,177,150,153,156,158,162,165,169,168,180,173,87,146,181,187,162,106,165,191,160,105,173,182,179,180,180,180,179,179,152,155,158,161,164,168,172,172,183,183,91,139,185,187,147,105,167,191,154,107,180,183,182,182,182,181,182,182,154,157,160,163,166,170,174,173,186,184,90,137,193,175,132,108,170,192,155,108,183,186,184,185,185,184,184,184,156,159,161,165,168,172,175,175,182,196,115,127,184,159,131,105,177,195,152,110,188,186,185,186,187,186,186,186,157,161,163,166,170,173,175,177,182,191,151,125,110,133,144,109,185,196,145,118,195,185,186,188,187,187,187,188,158,162,165,168,172,175,178,179,183,193,169,150,134,122,125,124,193,191,134,128,198,187,189,190,190,190,189,189,159,163,166,169,172,177,180,179,192,205,181,169,183,165,107,117,186,178,123,144,199,189,191,190,191,191,191,191,162,165,167,171,174,178,181,184,184,159,179,116,172,171,125,80,132,142,99,159,199,191,192,192,192,192,192,192,164,166,170,172,175,180,181,186,189,161,162,90,86,171,156,106,81,103,85,172,199,192,193,194,193,193,193,193,164,167,171,174,177,181,181,191,193,147,149,125,51,115,185,142,92,76,86,188,197,194,194,194,195,196,194,194,165,169,171,175,178,182,183,196,192,152,128,110,81,97,199,171,122,87,86,193,198,196,197,197,197,197,196,196,166,170,172,175,178,183,183,202,198,152,112,103,92,170,201,169,134,106,88,195,199,196,197,199,199,199,199,198,168,170,172,176,178,183,185,204,189,148,123,126,134,208,193,155,126,99,90,198,199,198,198,199,200,200,199,198,169,171,174,177,180,184,186,198,185,146,143,121,160,206,177,145,111,83,112,207,199,201,199,200,201,201,201,200,169,172,176,178,181,186,187,195,182,144,143,123,178,206,162,132,107,78,129,212,199,202,201,202,202,203,202,201,167,172,175,178,182,185,188,193,181,145,158,131,186,203,154,122,98,75,137,213,200,203,203,204,204,203,203,202,168,171,174,177,182,184,187,187,181,152,167,135,176,185,146,118,96,71,152,212,201,204,204,204,204,204,203,203,168,171,175,177,181,184,187,186,181,158,165,136,167,169,134,113,92,75,169,207,201,203,204,205,205,204,203,203,169,172,176,179,181,186,189,189,186,159,148,121,150,149,119,111,90,86,190,204,203,204,204,204,205,204,204,204,170,174,177,180,183,186,187,186,185,155,129,121,152,133,121,115,80,128,209,202,204,204,205,205,205,204,204,204,169,173,176,180,184,187,184,190,193,166,145,138,158,121,131,99,82,185,207,203,204,204,205,206,205,205,204,204,170,174,179,182,186,190,182,188,192,173,162,145,151,119,126,75,135,211,201,202,204,204,205,206,205,205,205,205,145,151,157,163,167,169,169,186,171,161,166,142,143,120,103,76,172,207,202,202,204,205,204,205,206,206,205,203
22,160,162,166,170,176,178,181,185,187,189,187,195,194,195,193,189,198,195,199,201,198,199,199,199,199,198,198,197,162,166,171,173,177,182,185,188,193,195,128,176,204,198,210,124,178,208,186,187,206,203,202,202,203,202,201,200,165,168,173,177,180,186,189,190,199,187,96,164,210,207,221,103,163,222,179,113,206,206,204,205,207,207,205,204,167,172,176,180,185,190,193,193,206,183,76,168,211,216,218,113,176,226,184,97,201,212,208,208,210,211,210,208,171,177,179,183,188,193,196,197,212,187,80,171,214,222,208,116,188,229,183,99,200,215,211,213,214,214,213,211,174,178,181,185,190,195,201,199,215,206,86,168,218,225,190,113,195,230,188,112,205,218,215,215,216,215,214,214,176,180,185,189,194,198,205,204,219,219,92,158,222,225,170,111,197,231,179,113,216,220,219,218,218,217,218,218,179,183,187,192,196,202,207,206,223,221,90,156,234,208,149,115,202,232,180,115,219,223,222,222,222,221,222,221,182,186,190,194,198,204,208,209,218,238,125,142,221,187,147,111,212,236,177,119,226,223,222,223,225,223,224,223,184,188,192,195,201,206,209,212,218,231,175,138,118,151,165,116,223,238,166,129,236,222,225,227,226,225,226,226,185,191,194,198,204,208,213,214,220,234,201,174,151,135,139,137,234,230,151,144,241,225,228,229,230,229,228,228,187,192,196,201,205,211,216,214,232,250,217,201,220,195,114,128,223,213,137,166,242,229,231,230,231,231,231,231,190,194,198,202,207,212,217,221,220,186,214,126,205,203,139,77,149,162,102,187,242,231,233,233,232,233,233,232,193,196,202,205,209,215,217,224,228,189,190,90,85,203,182,113,77,108,83,205,242,232,233,235,234,234,233,233,194,197,202,207,211,217,217,231,234,169,172,138,36,125,222,162,93,70,85,226,239,235,235,235,236,237,235,235,195,200,203,209,213,218,219,237,233,176,143,118,78,100,242,203,134,85,84,234,241,238,239,240,240,239,238,238,197,201,205,209,213,220,220,247,241,176,121,109,93,202,245,201,152,112,88,236,242,238,240,242,242,242,241,240,198,202,205,210,213,219,222,249,228,171,136,140,151,254,234,180,140,102,91,241,242,240,240,242,243,243,243,241,200,203,207,212,215,221,224,241,223,169,165,133,188,251,211,167,120,81,121,253,241,244,242,243,244,245,244,243,200,205,210,213,217,223,225,237,218,165,164,137,213,251,190,148,114,74,145,255,242,246,245,247,246,247,246,244,198,204,209,213,218,223,227,233,217,167,185,147,223,248,179,135,102,69,156,255,244,248,248,248,248,247,247,246,198,202,207,212,218,221,226,225,217,177,197,152,210,223,169,128,98,64,176,255,245,249,249,249,250,249,247,247,198,203,208,212,217,220,226,224,217,185,194,154,198,200,151,122,92,69,199,253,245,248,249,250,250,249,247,247,200,205,210,215,217,223,228,228,223,186,171,134,173,173,131,120,90,84,230,249,248,249,249,249,250,249,249,248,201,207,212,215,220,225,225,224,222,181,145,133,177,150,133,125,77,142,255,246,249,249,250,250,250,249,249,249,200,205,210,215,221,225,220,229,234,195,167,157,185,134,147,103,79,223,254,247,248,249,250,251,250,250,249,248,202,207,215,219,224,229,218,226,232,205,191,167,175,130,140,69,153,255,245,246,248,250,251,252,251,250,250,250,167,175,183,192,197,200,201,223,203,188,196,162,164,132,108,71,204,254,246,247,248,250,249,250,251,251,251,248
10,87,92,96,94,81,68,77,50,43,68,67,74,76,87,98,102,106,112,115,119,124,127,128,131,132,134,136,137,93,98,103,96,87,70,86,45,49,69,70,70,94,122,96,104,107,114,117,121,124,127,129,132,134,135,136,137,101,106,111,98,92,72,92,39,56,69,72,66,128,144,84,105,110,116,119,122,125,128,132,133,135,136,137,137,109,114,118,102,96,75,95,35,61,69,73,69,116,150,85,95,117,118,121,124,127,131,135,136,137,137,138,138,116,122,123,104,98,82,95,33,66,70,73,73,99,151,100,84,120,122,126,129,131,135,138,140,141,141,141,142,122,130,127,108,98,90,90,34,71,70,73,77,87,149,125,82,118,129,131,133,138,142,144,146,146,146,146,146,128,137,130,113,98,99,84,37,74,71,75,79,84,141,142,88,109,135,134,139,143,147,149,150,151,151,151,152,133,141,131,118,96,108,75,43,75,72,76,81,88,131,151,96,96,141,139,144,147,152,154,155,156,156,156,157,137,146,131,122,95,117,65,50,76,73,76,82,91,130,165,110,90,144,144,148,152,156,158,161,161,162,162,162,141,150,132,126,94,123,57,54,74,74,77,82,93,132,164,117,90,146,150,153,157,160,162,165,166,166,166,166,145,151,133,129,95,126,44,78,81,74,76,84,96,131,153,117,85,144,154,156,161,164,167,169,170,171,171,171,148,154,133,128,98,118,87,122,76,82,92,84,101,137,138,121,82,138,160,160,165,169,171,173,173,173,174,175,151,153,134,126,102,115,114,116,73,68,70,73,97,144,127,144,79,129,165,162,168,172,174,176,176,176,177,177,154,153,137,123,106,134,91,108,95,73,64,57,61,85,106,124,75,116,169,165,171,175,177,178,178,179,179,180,156,153,140,119,112,113,66,72,110,99,83,58,44,68,88,97,83,98,170,168,173,177,178,180,180,180,181,182,158,151,145,116,121,100,64,105,122,111,82,60,52,58,72,83,81,84,167,172,175,178,181,182,182,183,183,184,160,150,148,111,134,78,87,161,141,108,86,69,63,60,66,72,75,83,168,174,176,180,183,183,185,185,185,186,160,150,149,107,139,66,96,163,138,97,103,87,68,63,63,68,70,85,172,175,179,182,184,185,186,187,188,188,162,150,149,105,144,59,68,174,165,86,79,102,85,73,61,62,67,92,177,175,180,184,186,187,187,188,188,189,161,152,151,106,147,50,71,173,171,80,105,104,102,84,64,63,62,104,180,175,181,185,187,187,189,189,190,190,161,153,151,108,152,45,70,161,128,96,154,122,102,96,70,66,58,110,182,176,181,185,188,189,190,191,192,192,161,156,148,112,149,41,66,147,161,133,158,139,109,100,82,71,61,117,181,176,181,184,188,188,189,191,192,191,162,160,143,118,143,39,68,123,164,144,151,140,130,104,85,76,62,121,181,176,181,184,187,188,189,190,192,192,163,162,137,127,132,30,73,84,154,164,151,149,129,110,90,78,63,117,180,176,180,183,186,189,190,189,191,192,162,164,131,132,130,58,91,77,146,165,148,161,124,109,87,80,67,128,185,182,187,190,193,195,196,197,198,201,155,165,127,132,153,104,100,98,124,164,146,155,123,101,88,85,70,109,136,138,142,145,150,152,154,157,161,159,160,164,124,139,149,94,93,97,96,149,144,135,128,113,103,87,67,88,104,102,102,103,103,104,104,103,104,74,162,160,121,145,145,97,97,100,97,119,126,120,129,133,125,88,61,66,110,108,111,112,112,110,110,114,92,65
7,185,187,190,192,194,193,195,196,196,197,196,196,196,196,196,195,195,193,193,193,190,189,190,188,186,187,185,184,187,189,191,194,196,197,198,197,197,197,196,197,196,196,196,196,195,194,194,193,193,191,190,189,188,187,187,185,187,189,193,195,196,198,199,199,200,200,198,198,198,197,197,198,197,196,195,193,194,193,192,190,190,189,188,186,190,191,194,195,197,199,200,200,201,201,201,200,200,200,200,199,197,197,197,196,196,194,193,192,192,190,189,188,191,193,195,197,199,199,199,201,201,201,201,201,201,200,200,201,200,199,198,196,196,196,195,193,192,191,191,189,191,196,197,198,199,200,201,201,201,201,202,202,201,201,200,200,202,201,200,200,200,196,193,195,194,194,192,189,193,195,197,201,201,201,202,203,203,203,203,203,204,204,205,204,201,198,194,190,171,181,196,182,196,195,193,192,196,196,197,201,202,203,204,207,207,208,206,200,196,189,182,180,181,171,165,166,145,182,203,155,191,194,196,193,195,197,200,200,202,205,202,195,186,188,186,178,166,151,144,158,176,171,157,150,140,145,160,141,189,193,180,196,196,199,200,202,205,198,186,167,160,158,156,163,158,153,139,135,141,127,132,138,135,134,146,156,205,204,137,193,198,201,201,202,200,191,176,165,164,157,146,148,156,152,131,126,121,146,166,181,162,159,157,157,160,154,145,199,197,200,198,191,182,178,177,175,162,127,123,144,165,161,148,144,134,150,164,167,150,137,123,117,125,156,194,200,197,193,187,182,179,179,172,174,160,113,117,129,137,134,131,136,125,121,131,117,114,118,146,176,196,205,200,199,191,187,184,184,184,172,163,163,162,141,108,93,84,82,85,97,98,107,126,151,177,197,210,208,203,200,201,199,188,186,183,178,172,167,165,164,169,160,121,88,67,94,144,149,168,186,208,215,212,207,204,203,202,202,202,200,186,181,174,169,165,161,160,159,157,140,119,94,83,95,197,226,216,215,210,206,207,207,206,205,204,203,202,201,182,173,167,161,156,152,147,143,141,133,108,85,88,86,81,194,217,210,210,208,208,207,208,206,206,204,204,203,172,174,160,157,147,146,143,139,138,134,110,80,83,103,77,115,224,211,212,211,210,208,208,207,206,205,205,204,85,145,163,157,151,145,143,144,146,145,113,79,75,95,91,113,222,213,213,212,212,211,210,208,206,205,206,204,55,63,136,164,155,150,141,135,133,123,103,87,82,73,66,142,227,213,215,213,212,212,211,209,207,207,206,205,59,51,61,142,161,152,143,131,119,108,97,94,91,76,70,92,213,218,215,213,213,212,210,209,208,207,207,206,54,55,45,73,145,138,129,120,114,101,95,93,93,82,70,97,215,217,216,215,214,213,212,210,209,209,207,206,51,48,49,45,87,118,107,94,92,70,72,90,84,96,156,190,222,215,214,215,214,213,213,212,211,210,208,207,46,44,47,48,38,49,91,135,67,59,69,78,92,192,234,221,219,218,217,215,216,214,213,212,212,210,208,208,38,41,45,53,27,47,191,197,58,66,78,122,200,227,218,219,219,219,218,215,217,215,213,213,212,211,210,208,39,37,53,42,61,199,229,219,164,158,192,224,225,219,221,220,219,219,219,216,214,215,214,213,213,212,211,208,65,51,40,69,208,223,216,220,228,228,226,219,218,220,220,220,220,219,218,215,215,214,214,213,212,212,209,207,51,48,29,137,231,213,220,219,218,219,219,220,219,220,220,219,220,219,218,215,215,214,214,213,212,211,210,207
3,170,173,176,178,183,185,187,187,187,188,188,188,188,187,187,181,202,204,109,162,184,178,177,175,172,171,169,167,172,177,179,181,184,187,189,191,191,192,191,189,191,190,190,183,207,190,94,132,192,179,178,178,175,173,170,169,174,179,181,183,187,190,191,193,194,194,195,194,193,192,191,187,206,178,95,122,194,181,180,180,178,174,172,170,176,180,183,185,189,192,194,196,196,196,196,195,195,195,193,189,206,181,95,117,194,183,184,181,178,177,175,172,179,183,186,189,191,194,197,198,199,199,199,198,198,197,196,191,211,208,118,109,192,186,185,184,181,179,177,173,182,185,188,192,195,197,199,201,202,202,202,202,201,199,198,192,218,213,118,100,191,187,186,185,182,179,178,176,183,187,191,194,198,200,202,204,204,204,205,204,202,202,201,193,222,201,106,97,194,190,188,186,184,180,179,178,185,189,194,197,201,203,205,207,208,207,207,207,205,205,204,196,224,200,110,100,198,193,191,188,186,183,180,179,187,192,197,201,203,205,209,210,210,211,211,210,209,207,205,201,236,197,112,100,198,194,193,190,188,185,183,181,189,194,199,202,205,208,211,212,213,214,213,213,212,208,209,197,179,151,88,97,204,195,194,193,189,186,183,181,191,197,201,205,208,212,213,215,216,216,216,215,212,216,240,189,109,72,49,122,211,196,197,195,191,188,185,183,193,199,203,207,211,213,215,217,219,218,218,214,211,190,187,193,141,93,30,170,214,198,200,197,194,190,187,185,195,200,205,209,212,215,218,219,220,221,214,232,231,153,82,154,222,127,79,146,195,208,203,198,195,193,190,187,196,202,206,210,214,218,219,222,216,226,183,137,201,161,103,127,230,119,95,73,112,139,201,201,196,196,193,189,197,203,208,212,217,220,221,220,238,239,184,109,145,188,126,99,186,131,116,95,130,87,169,210,197,196,194,192,199,204,210,214,217,221,221,230,242,223,207,157,109,182,124,85,144,145,131,108,125,72,157,214,198,199,196,193,198,205,211,214,218,222,221,247,242,208,218,163,101,146,123,84,133,100,89,124,99,60,153,217,200,201,197,195,198,204,210,214,218,221,221,241,232,177,184,161,91,108,120,64,166,168,69,149,133,62,126,218,200,199,196,194,201,205,212,217,220,223,225,227,227,198,183,136,68,100,101,42,161,177,73,129,139,59,103,219,201,200,195,192,201,207,212,217,220,223,225,232,243,222,196,124,95,106,116,74,143,147,118,120,106,54,154,215,199,199,202,205,200,207,214,217,220,223,224,230,247,230,214,129,104,104,132,147,207,181,146,122,65,85,217,215,216,213,188,139,203,211,217,221,224,227,231,233,247,241,209,148,126,114,187,221,194,156,113,105,61,164,223,175,145,112,59,29,143,144,146,148,150,150,146,146,228,236,198,174,141,131,201,210,170,132,104,90,62,97,73,29,11,7,15,21,113,116,115,116,114,112,114,96,185,235,199,178,157,120,161,174,140,110,91,69,33,10,8,11,19,16,7,11,123,124,123,123,123,124,136,98,96,232,201,177,156,110,111,109,102,86,68,34,14,18,19,10,9,20,15,7,124,124,122,121,122,122,124,93,28,124,192,181,131,88,90,88,90,58,16,33,6,3,15,13,4,9,17,16,124,126,127,125,124,125,118,63,45,38,86,119,97,92,83,74,60,13,0,14,25,0,1,12,9,5,9,16,125,126,126,124,123,127,96,48,50,46,33,47,81,72,50,40,14,0,0,0,27,9,0,6,10,6,6,14
0,199,199,199,198,199,198,198,197,198,199,198,199,198,198,196,195,195,195,194,193,191,190,191,191,189,188,187,186,200,201,200,200,201,201,201,201,201,200,200,200,200,199,198,197,196,195,194,194,194,193,193,192,189,188,188,187,202,202,201,201,202,201,201,201,201,201,202,202,201,201,199,199,198,197,196,197,196,195,195,194,192,191,190,188,202,202,202,202,201,201,201,201,202,202,203,203,203,202,200,200,200,200,200,199,197,194,191,195,195,193,192,191,203,203,204,203,202,203,202,202,203,203,203,204,203,202,194,179,184,198,181,167,183,183,157,191,195,195,194,193,204,204,205,205,205,204,204,204,205,204,205,205,203,197,169,134,116,143,146,122,120,166,130,165,198,195,195,193,205,205,206,206,206,206,206,205,205,207,204,186,160,160,161,131,102,87,139,122,90,144,140,126,197,197,195,194,207,206,206,206,207,207,206,203,186,177,189,169,124,95,142,139,121,94,142,125,92,124,152,101,148,198,196,196,207,208,208,207,207,206,203,193,158,119,162,162,123,87,131,145,130,96,146,129,90,97,152,119,99,148,197,196,209,208,208,208,208,206,194,186,158,120,147,165,131,99,125,148,126,91,146,132,86,69,147,138,105,95,191,197,209,209,209,209,209,203,183,176,167,139,136,169,133,103,109,148,124,79,120,110,74,73,154,149,99,104,198,199,209,209,210,210,209,198,177,159,165,146,125,160,129,101,92,141,116,59,66,71,55,107,170,145,86,144,204,200,211,211,211,211,208,196,185,149,148,135,102,138,131,103,68,88,77,37,52,63,86,155,170,129,86,182,202,201,211,213,213,211,207,189,170,127,120,99,63,100,120,92,47,38,53,86,127,126,138,170,156,103,111,202,201,201,212,214,213,213,205,188,178,145,112,77,53,60,81,61,43,64,120,162,167,160,143,151,135,75,146,207,203,201,213,214,214,214,205,189,187,164,128,104,90,86,98,102,119,148,172,175,167,161,133,115,100,68,178,206,204,202,213,214,214,214,204,189,193,171,142,122,108,116,140,166,177,184,187,177,160,150,118,86,66,116,205,206,205,203,213,213,213,214,205,185,194,175,149,123,118,128,164,186,190,193,188,169,149,134,100,61,92,191,208,207,205,205,211,212,212,213,208,178,185,175,155,132,127,140,180,192,191,190,178,154,134,114,76,75,180,209,207,206,206,205,211,213,214,214,213,183,181,179,162,147,140,153,184,191,189,180,160,141,119,91,65,157,209,207,207,206,204,203,214,214,214,214,216,192,174,180,172,159,144,156,181,182,180,168,141,122,99,66,126,207,209,208,207,206,205,204,214,214,214,215,215,204,173,177,172,155,140,150,172,168,161,144,121,98,69,98,197,211,209,209,207,207,206,205,214,214,214,215,215,212,179,173,166,148,138,144,161,155,142,123,97,65,80,183,211,211,210,209,208,208,207,206,214,214,214,214,215,212,184,173,159,142,138,140,155,147,126,103,70,75,175,212,212,211,212,209,208,207,207,206,215,215,215,214,215,205,180,173,164,157,154,147,149,142,113,82,61,165,213,213,212,211,212,210,209,208,207,206,201,204,205,206,208,189,177,180,173,169,159,150,144,131,96,62,99,209,214,215,215,213,213,211,210,209,208,207,130,133,135,136,138,155,178,187,180,170,160,150,135,109,84,56,110,176,179,180,183,185,186,186,187,189,190,189,105,105,103,102,101,142,179,188,176,168,159,147,115,97,76,54,81,108,109,109,109,111,112,112,114,116,117,117
1,90,99,82,65,66,57,71,19,53,83,96,106,147,114,96,133,133,139,140,143,147,150,152,154,155,157,159,160,92,102,80,69,65,63,70,19,61,85,102,110,149,128,83,133,103,130,145,145,149,151,153,157,157,159,160,161,95,104,77,73,62,70,63,21,67,83,137,120,120,148,93,145,101,99,150,146,150,151,155,157,158,159,160,162,98,104,75,76,62,77,55,24,71,84,148,128,108,151,97,147,128,86,146,149,151,153,156,158,159,161,162,163,102,102,73,79,61,82,46,30,77,87,150,135,107,167,122,132,141,85,138,153,151,155,157,159,161,163,165,165,106,101,76,83,62,87,37,38,79,87,149,141,109,176,130,127,163,98,123,158,154,157,159,161,163,166,167,167,109,98,80,86,65,91,31,41,109,110,142,163,113,166,133,131,175,115,106,159,156,159,161,164,166,168,167,169,113,97,84,84,68,92,26,48,146,116,134,166,112,155,138,121,169,127,98,158,158,159,163,166,167,169,169,170,115,95,87,83,73,89,22,57,149,111,130,165,108,153,153,114,166,137,96,157,160,162,165,168,169,171,172,172,115,93,91,80,80,86,21,62,154,115,124,173,107,147,165,112,170,146,97,152,162,164,167,169,171,172,173,173,116,92,96,78,87,76,23,66,160,136,120,177,118,124,166,105,158,150,92,145,168,166,168,170,172,174,174,174,112,93,100,76,95,67,27,68,155,139,105,175,123,96,158,97,140,160,93,137,171,165,169,172,174,175,175,175,112,94,101,73,101,56,32,71,143,146,98,158,134,125,145,138,154,136,89,120,173,166,170,173,175,177,176,176,111,94,100,73,106,46,37,72,140,163,98,139,157,135,119,151,152,101,76,104,174,169,172,174,175,177,177,179,108,97,101,72,108,38,44,74,141,152,120,149,149,148,140,175,165,108,70,85,167,171,173,176,176,177,180,181,106,100,100,73,109,30,50,76,143,157,156,139,138,144,151,165,158,134,87,65,156,175,173,176,177,178,179,181,106,103,97,78,109,23,55,77,157,174,148,127,125,131,137,133,155,159,119,67,138,179,173,176,177,178,180,182,103,108,95,85,105,19,59,80,165,168,135,117,125,134,149,163,168,175,151,89,112,180,173,177,178,180,180,181,102,112,92,92,99,18,64,80,153,168,128,112,133,135,157,187,173,176,162,112,94,177,174,177,178,180,180,180,104,113,88,98,89,18,69,80,135,172,138,120,125,142,161,187,183,166,150,107,92,176,175,178,179,180,181,182,105,114,84,105,81,19,71,83,113,170,145,126,122,148,163,188,184,163,140,94,99,179,174,177,180,181,182,183,105,117,82,112,71,21,72,87,99,157,160,136,120,142,161,184,181,158,135,90,101,180,174,177,179,181,182,182,109,119,80,120,62,25,74,87,94,141,167,144,132,130,155,180,171,150,134,87,102,180,175,178,180,181,182,182,113,122,80,128,53,29,75,86,96,117,159,152,145,131,148,173,163,142,126,83,107,181,174,179,181,181,181,182,117,122,82,132,44,33,73,84,96,105,137,158,150,142,137,154,157,136,121,80,123,179,172,176,177,178,180,180,121,119,84,134,35,37,71,82,93,104,115,153,153,145,130,133,145,123,113,83,147,175,172,174,175,176,179,179,124,114,88,133,26,39,70,79,91,105,107,145,154,138,124,124,124,119,111,84,158,170,170,174,175,177,178,179,127,110,92,127,24,44,66,73,83,98,101,136,149,128,126,131,126,119,103,79,159,167,167,171,173,175,176,175
24,116,129,141,150,159,163,163,169,177,180,184,187,190,191,195,197,199,200,203,204,204,205,203,203,203,203,202,201,116,131,143,153,161,164,165,171,178,183,185,189,192,194,197,198,200,202,205,205,205,206,206,206,206,205,205,205,117,131,144,154,161,166,167,175,180,184,188,192,194,198,200,201,202,204,205,206,207,208,208,207,206,206,207,206,119,133,146,157,164,164,172,177,182,185,189,193,196,200,202,204,204,207,207,208,208,210,210,209,208,208,208,207,120,135,146,159,163,196,163,173,185,188,192,194,198,201,204,205,206,208,209,212,211,212,211,211,212,211,211,211,120,135,147,158,170,213,138,148,192,189,193,196,200,203,205,207,210,210,212,213,213,213,212,212,213,213,213,212,122,136,149,160,168,190,133,123,190,191,195,199,201,207,208,210,211,217,216,215,216,213,215,214,214,214,214,213,122,137,151,161,165,192,145,105,177,198,196,203,204,204,207,219,220,187,205,221,216,217,217,217,217,216,215,215,123,139,152,163,168,179,167,116,143,200,196,186,212,209,156,201,236,177,134,212,222,219,218,219,219,218,218,217,124,140,153,164,172,175,194,138,109,187,218,168,212,227,141,174,226,173,114,148,229,220,220,220,220,220,219,218,125,141,154,165,173,174,188,161,131,189,248,192,229,236,153,210,210,135,109,115,214,224,222,221,221,221,222,221,126,142,155,167,175,177,184,205,159,191,255,196,220,232,147,220,199,113,98,105,179,234,221,224,224,224,219,210,128,143,156,167,175,178,181,199,184,214,254,189,200,232,150,226,207,111,99,111,139,237,224,226,225,218,208,189,128,144,157,168,176,180,180,199,248,220,235,201,183,220,152,241,209,97,95,112,102,212,235,222,223,224,193,148,130,145,158,170,178,181,181,208,234,193,202,189,146,198,156,251,176,80,104,122,110,151,221,214,228,205,147,116,131,147,160,171,178,183,184,205,254,215,192,177,135,184,158,127,87,101,115,138,163,175,198,204,191,139,116,196,132,148,161,172,178,182,185,201,255,231,192,173,181,184,205,128,134,195,190,199,196,189,181,170,128,132,218,237,132,148,162,173,180,183,186,198,250,238,211,183,176,184,216,219,245,237,225,210,191,167,150,122,129,230,237,230,133,149,163,173,181,182,188,197,248,239,208,183,194,233,251,255,240,225,212,196,169,144,113,119,224,240,233,234,133,150,164,173,180,183,189,195,241,242,215,200,207,236,255,254,238,215,198,172,143,106,124,220,243,234,237,235,135,151,163,174,182,184,190,193,228,245,224,211,201,233,254,248,231,203,178,150,105,150,237,241,237,239,237,236,136,152,164,175,183,185,191,195,218,245,226,200,187,227,235,223,212,189,161,107,158,248,242,238,240,239,238,237,134,151,163,176,183,183,190,196,212,235,205,181,186,226,218,198,181,157,107,153,248,240,239,240,241,240,239,237,134,151,163,174,181,183,188,195,208,228,204,196,201,227,210,179,155,111,115,238,242,239,239,239,239,238,239,238,134,150,164,175,181,183,189,197,208,249,230,217,210,222,201,162,143,98,181,245,236,239,240,240,240,240,240,239,134,150,164,175,182,182,189,199,207,255,245,223,203,216,185,152,132,106,213,243,239,241,242,242,241,241,241,241,133,150,163,175,182,183,189,197,204,238,228,208,201,216,179,163,114,109,226,242,240,241,241,241,241,241,241,241,131,148,163,174,180,183,190,195,208,232,211,187,196,207,176,154,96,112,234,242,241,241,242,242,242,242,242,241
19,143,151,159,166,171,171,175,178,182,185,189,193,195,198,201,201,204,204,206,209,211,212,213,212,212,214,213,214,144,153,160,168,170,173,177,179,185,188,193,196,198,201,202,204,206,208,210,210,214,215,213,215,213,216,215,215,145,156,163,169,172,175,178,182,187,192,194,196,203,204,201,207,208,210,212,212,214,212,223,207,214,217,217,216,148,157,165,170,175,177,179,185,190,190,209,203,174,194,210,207,209,213,212,215,209,233,250,141,197,221,216,217,150,159,167,172,176,177,182,187,193,190,248,213,159,134,202,210,209,212,223,226,239,240,170,128,212,221,219,219,150,160,169,175,178,179,183,191,195,188,235,232,176,160,211,228,215,221,236,234,212,156,126,199,225,222,221,220,152,161,170,178,179,178,192,180,186,195,216,231,220,229,221,217,208,190,206,182,135,150,208,228,220,223,223,222,155,163,171,178,172,222,233,189,179,186,203,210,202,186,178,186,172,147,144,149,190,230,226,223,224,224,225,225,155,165,174,176,185,250,203,192,196,204,214,212,200,185,180,160,159,128,208,226,231,224,226,226,225,226,227,226,155,165,177,170,202,225,177,178,189,208,212,208,207,200,172,127,115,151,239,226,226,228,227,226,227,228,229,228,157,165,176,172,229,228,195,194,202,196,183,180,179,156,141,120,99,181,235,226,229,229,228,228,230,231,229,229,159,167,175,182,255,240,216,212,213,204,201,195,172,114,114,118,106,208,234,229,230,230,230,230,232,231,231,230,161,170,174,190,255,232,208,190,181,193,195,187,154,116,111,119,118,220,231,231,234,233,233,232,232,232,233,232,161,171,176,187,238,225,193,168,141,135,152,152,151,118,116,114,150,236,229,232,234,234,235,235,234,234,234,234,162,172,178,185,228,227,193,135,121,88,88,147,162,123,122,116,147,240,231,234,234,234,236,237,237,237,235,234,164,175,182,182,227,230,194,148,109,76,133,161,152,115,114,112,122,228,235,235,236,236,238,238,238,238,238,238,164,174,184,177,228,228,194,159,132,98,97,102,95,94,105,116,119,222,239,236,238,238,238,239,238,239,239,238,164,176,183,176,236,232,197,166,136,121,110,90,92,103,111,117,123,225,239,236,237,240,239,238,239,239,238,238,167,177,185,173,234,231,195,163,139,129,128,110,100,106,114,113,135,235,235,238,241,242,242,240,241,242,241,240,168,176,185,171,223,221,190,160,136,128,125,111,102,110,119,113,165,246,235,240,242,242,241,241,242,242,242,242,169,177,186,176,220,214,185,153,135,127,124,113,109,116,123,114,208,245,238,242,241,243,243,243,244,244,244,244,171,180,184,188,226,208,180,150,132,126,126,120,118,122,111,151,240,237,240,243,243,244,244,244,244,244,244,244,171,182,181,195,232,206,174,145,130,128,130,124,119,115,163,232,238,239,241,242,242,244,244,244,244,244,244,245,172,183,181,201,222,201,176,153,135,131,129,126,110,155,240,235,237,240,242,244,244,245,245,245,245,245,246,246,172,182,182,211,215,191,172,154,133,122,119,119,112,205,237,235,241,241,243,245,246,246,246,246,247,248,247,247,172,182,187,232,209,187,159,141,127,114,112,111,125,221,236,238,241,242,243,246,246,247,249,249,249,249,249,249,174,178,197,236,212,193,168,152,153,121,111,106,139,232,234,239,240,242,244,245,245,247,249,248,249,248,249,250,174,184,193,221,215,196,175,167,160,121,112,103,142,235,233,236,239,241,243,245,245,246,247,247,248,249,249,249
20,119,122,125,128,129,131,133,134,136,137,138,138,138,137,140,141,139,141,141,141,141,142,142,141,141,141,140,139,122,126,128,131,133,135,137,137,140,141,141,141,140,153,123,131,146,143,143,144,144,144,145,144,145,145,143,142,125,128,131,134,136,138,140,141,142,143,144,145,145,173,107,102,145,146,146,146,146,147,148,147,147,146,145,144,128,131,135,137,139,142,142,144,145,146,148,147,150,173,110,92,119,120,155,149,149,149,150,150,149,149,147,146,131,134,138,140,142,144,145,147,148,149,150,150,153,171,107,111,138,92,157,152,152,151,152,152,152,151,150,149,134,137,140,142,145,146,148,149,151,151,153,153,157,172,111,122,148,86,150,157,154,154,155,155,155,154,153,152,135,139,142,145,148,149,150,152,154,154,155,154,160,177,115,123,159,89,145,162,157,157,158,157,157,157,156,154,137,141,144,147,150,152,154,155,155,157,158,155,166,174,116,122,169,96,137,165,159,160,160,160,159,160,159,157,140,142,146,148,151,154,156,158,159,160,160,157,173,177,119,128,170,102,127,169,161,163,163,162,162,162,160,160,142,144,148,151,153,156,158,160,161,163,161,137,165,189,117,132,179,110,121,173,163,165,165,165,165,164,163,161,143,146,149,153,155,158,160,161,156,168,181,139,125,145,100,121,183,116,120,175,165,167,167,167,166,166,165,164,146,149,152,154,157,160,162,166,157,141,179,161,105,86,73,107,158,116,117,175,167,170,169,168,168,168,167,166,147,151,154,156,159,163,163,172,180,138,140,162,128,123,99,96,128,113,114,178,169,171,171,171,170,170,169,167,148,152,155,159,161,165,167,164,161,141,112,153,144,156,141,91,91,103,105,177,170,172,172,171,172,171,170,170,150,154,157,160,163,166,168,163,135,138,99,161,145,149,145,98,70,78,102,179,171,173,174,173,174,173,172,172,152,156,159,161,164,167,168,169,163,140,117,120,109,82,146,122,81,61,96,179,173,176,176,176,176,174,173,172,152,156,159,163,165,169,169,177,157,113,85,59,61,49,127,153,104,66,79,178,177,177,177,178,176,176,175,174,154,157,160,164,166,170,172,177,159,128,98,83,82,86,144,177,129,86,73,170,180,177,178,179,177,177,177,176,155,158,161,165,167,170,171,178,172,133,105,97,109,150,188,169,133,103,76,167,183,178,179,180,180,179,178,178,155,159,162,165,168,171,171,179,175,141,113,116,126,176,188,159,120,94,80,175,182,179,180,180,180,179,179,178,155,160,164,166,170,173,171,180,182,156,133,122,131,184,173,146,110,80,85,182,181,181,182,182,182,181,180,180,157,161,165,168,171,173,172,179,187,164,136,132,136,184,167,134,103,78,88,184,182,183,184,184,183,183,182,180,157,161,165,168,171,173,173,175,181,161,147,151,137,181,163,122,95,75,97,186,182,184,184,184,183,183,183,181,157,161,164,167,171,172,174,173,168,162,148,153,131,172,149,115,89,69,108,191,182,183,184,184,184,184,183,182,157,161,165,169,170,172,173,174,171,162,148,149,120,153,131,102,89,67,126,191,181,183,184,184,184,184,183,183,159,162,165,168,170,173,174,173,175,166,141,131,102,134,115,98,91,74,163,187,183,183,185,185,185,184,183,183,158,163,166,168,170,172,174,172,177,167,143,118,108,141,107,105,78,110,189,183,184,185,186,185,185,185,185,184,159,163,166,168,170,172,175,171,179,175,154,134,129,140,99,101,70,157,187,183,184,186,187,185,185,185,185,183
21,103,105,110,117,121,126,129,133,135,137,139,141,142,142,142,142,142,141,139,139,139,138,136,134,134,134,130,128,104,107,112,118,124,128,131,134,136,139,142,143,143,144,142,144,141,141,145,141,140,139,138,137,135,135,133,131,107,109,114,121,126,130,133,135,138,142,143,145,146,145,147,144,158,133,119,147,142,141,142,140,137,137,135,132,108,111,116,123,127,131,135,138,140,142,146,148,148,148,150,142,181,138,83,151,142,143,142,141,141,139,137,135,110,113,118,125,130,133,137,141,142,144,147,149,149,150,150,143,183,136,78,148,144,144,143,143,136,138,138,137,111,114,119,126,132,135,137,141,143,145,148,150,152,150,151,145,191,135,77,147,146,147,144,169,106,116,145,139,113,116,121,128,133,136,140,142,144,147,150,151,151,151,152,148,198,143,85,146,150,146,152,175,82,115,147,140,114,117,124,131,135,139,143,143,147,150,151,152,152,153,154,149,203,144,92,147,153,144,168,160,77,129,146,141,114,117,125,131,135,140,142,145,150,151,153,155,154,154,154,153,204,137,95,148,153,148,184,141,82,139,145,142,116,118,126,133,136,141,145,148,150,152,154,156,156,154,152,163,215,142,97,145,153,156,197,132,93,149,146,144,117,121,128,133,139,143,146,150,151,153,156,158,154,173,167,146,202,161,103,148,150,175,195,116,106,155,147,146,119,122,128,135,140,145,148,150,153,155,157,155,161,222,188,129,108,147,106,151,154,201,179,97,118,157,148,147,120,123,131,138,141,147,150,152,155,156,163,189,151,185,210,146,71,89,110,153,173,205,154,86,136,155,150,149,120,124,132,140,146,149,153,155,158,152,193,226,164,118,197,145,71,62,106,157,184,185,126,95,156,152,150,150,121,126,134,141,146,150,154,157,160,158,210,232,197,105,147,155,77,52,80,129,158,162,102,120,161,153,152,151,123,128,135,142,149,151,156,159,160,167,207,194,206,98,115,190,126,65,54,87,117,122,91,151,159,155,153,152,124,129,138,144,149,153,157,161,160,176,217,183,191,134,87,192,177,106,52,73,105,85,100,166,158,157,156,153,124,129,140,145,150,154,157,163,159,198,227,179,161,155,76,145,186,145,79,49,83,70,110,168,159,159,158,155,125,130,139,146,151,156,159,165,160,211,212,154,127,109,93,103,177,178,129,60,58,62,126,169,161,160,159,157,127,131,140,148,154,157,161,166,162,217,212,153,118,120,129,133,173,204,166,101,55,62,150,169,163,163,161,160,127,133,141,149,154,159,164,167,165,220,212,153,116,137,144,193,198,204,191,137,74,75,168,167,165,166,163,160,126,133,142,149,154,159,164,168,168,221,212,156,121,150,163,216,207,196,182,157,99,89,176,168,167,167,164,162,125,132,142,148,153,159,164,168,167,221,215,151,137,151,179,226,214,197,161,139,99,92,176,168,167,166,164,162,125,132,142,149,156,160,165,170,168,220,218,150,164,147,199,234,215,190,162,110,75,99,178,169,168,167,166,164,126,133,143,151,157,161,166,172,170,214,214,166,185,146,205,236,211,185,155,101,65,123,181,171,170,168,166,164,126,134,143,149,156,161,166,172,167,205,213,191,191,145,197,230,198,172,133,95,71,153,177,171,170,168,166,164,125,133,143,152,158,163,168,174,172,196,220,204,189,143,185,216,174,146,111,80,90,180,176,175,174,173,171,165,119,124,130,133,137,140,143,147,146,163,219,200,180,139,161,197,153,121,100,77,96,146,141,140,138,137,134,144
0,127,127,129,129,130,130,130,131,131,131,130,130,130,130,130,130,130,129,128,128,129,128,126,126,125,126,125,125,129,130,130,131,131,131,131,131,131,130,130,132,131,131,132,131,130,130,131,130,129,131,129,126,126,128,127,126,131,132,133,133,134,134,134,133,132,133,133,132,132,133,133,135,132,131,132,133,131,126,119,130,128,128,128,128,134,135,135,134,135,135,135,136,135,134,135,136,134,135,119,103,125,129,110,98,127,131,73,126,130,129,129,129,135,135,135,135,135,136,137,137,136,136,126,110,128,147,123,87,66,117,106,84,69,114,84,87,139,129,129,129,135,136,136,136,137,137,137,137,137,151,131,92,99,148,124,108,63,111,114,105,63,54,120,70,101,132,132,131,135,137,137,138,138,137,140,118,111,156,135,114,100,145,124,114,61,116,117,101,72,27,102,103,71,77,134,131,135,137,137,138,136,143,154,132,90,127,151,118,92,152,131,110,50,123,115,82,77,11,58,119,99,44,112,137,137,138,139,140,137,152,153,144,122,88,154,123,80,147,136,105,48,96,103,64,64,2,69,130,113,58,96,141,138,140,140,140,145,145,143,151,129,69,133,132,74,123,135,92,47,49,77,56,47,3,102,133,115,60,88,144,138,139,140,138,146,132,99,124,104,56,97,117,68,81,105,68,51,20,44,62,37,25,114,129,109,57,80,144,138,139,141,140,143,146,109,114,84,39,71,93,58,46,75,56,37,10,76,113,94,89,107,117,103,52,76,145,139,142,143,142,146,156,129,118,85,53,57,77,58,29,57,71,69,108,134,122,114,104,87,93,96,57,67,145,141,143,144,142,151,152,126,105,89,66,36,84,84,18,62,131,144,146,133,120,108,96,81,72,81,63,61,143,142,143,144,141,157,166,147,129,106,77,53,79,78,84,139,154,147,138,129,116,103,90,73,64,67,55,75,145,144,143,146,143,159,168,153,133,113,108,107,104,122,150,155,147,142,132,124,112,97,80,65,60,63,48,116,145,144,145,146,143,163,173,155,135,120,115,115,127,141,146,151,147,134,130,116,102,91,72,60,64,50,94,146,141,144,145,148,146,165,177,161,146,135,126,127,138,145,149,149,138,131,126,107,94,81,66,63,52,67,146,143,142,144,145,147,144,163,177,167,153,139,130,128,139,149,147,141,128,121,116,100,85,72,65,60,47,123,148,142,142,145,146,148,146,157,176,173,161,141,128,123,128,134,130,131,117,103,103,85,74,70,62,46,105,149,143,144,144,147,148,149,149,150,170,168,157,142,127,121,126,129,131,129,114,97,94,76,68,62,55,106,148,143,145,146,145,148,148,149,150,148,158,158,144,133,117,120,126,121,130,123,110,100,89,73,56,57,122,150,146,145,146,146,145,148,149,150,150,150,154,144,141,136,127,138,130,108,124,121,103,91,81,62,43,121,153,145,146,146,146,147,146,149,150,151,151,151,154,151,157,149,141,138,131,102,115,121,99,83,72,39,84,157,146,149,149,148,148,147,146,149,150,150,150,150,156,166,164,154,132,130,127,96,113,109,93,79,61,40,129,154,148,150,149,147,148,149,148,149,150,151,151,151,149,174,164,152,124,127,123,101,106,97,90,77,49,51,148,151,150,150,149,148,149,149,148,150,150,151,151,151,146,168,158,144,120,128,130,98,91,95,85,75,46,62,157,149,152,151,150,150,150,149,148,149,150,150,151,150,148,167,149,137,119,128,127,88,96,93,81,72,44,65,157,150,151,151,151,150,150,150,149
12,167,167,169,172,173,173,175,177,178,178,178,178,177,177,176,175,175,175,174,173,173,172,172,171,170,168,168,169,168,169,171,173,174,175,177,178,180,179,179,179,179,179,179,178,177,176,176,175,175,174,173,172,171,170,170,169,170,171,173,174,176,178,179,180,180,180,181,181,180,180,180,179,180,179,178,177,176,176,175,174,173,173,172,171,171,172,174,176,178,179,180,181,182,182,182,182,183,183,182,181,181,181,180,179,178,178,177,176,175,174,174,173,172,174,175,177,179,180,181,183,185,184,184,183,179,180,185,181,166,156,173,182,181,180,179,179,176,175,175,174,173,175,178,179,181,182,183,185,185,186,187,185,157,135,169,183,147,100,116,170,159,167,180,179,179,178,177,176,175,178,179,181,183,186,187,187,187,187,196,195,154,109,112,175,136,105,78,130,121,95,142,180,180,179,178,178,178,179,181,184,185,187,188,188,187,184,193,187,141,102,87,176,147,116,79,115,119,80,81,166,181,180,179,179,179,180,183,186,186,186,188,191,194,161,162,182,136,93,82,189,186,134,97,116,112,83,69,155,184,181,181,181,181,182,184,186,187,189,191,213,200,164,130,175,170,98,76,203,201,126,108,152,127,88,68,161,186,183,183,182,182,184,186,188,189,190,202,228,205,170,114,168,196,109,81,152,151,95,132,175,125,78,71,170,187,186,184,183,183,186,187,188,191,190,209,219,201,163,109,122,157,105,88,106,139,127,148,144,89,56,92,185,188,188,186,185,185,187,188,190,191,197,224,208,173,132,98,66,76,80,103,121,164,187,158,122,89,60,145,191,189,189,188,187,186,188,191,193,192,216,223,198,145,107,87,55,44,117,184,187,181,168,142,126,116,75,160,193,190,190,188,188,187,188,192,194,193,222,227,185,139,131,95,51,105,198,210,198,176,159,131,119,107,77,166,195,192,191,189,189,188,189,193,195,195,227,227,180,140,152,114,111,188,220,213,197,173,151,133,110,91,73,176,195,194,193,191,191,189,190,193,195,199,233,228,195,177,153,156,179,216,219,208,191,169,143,127,101,78,65,172,197,195,194,192,192,190,192,194,196,203,233,229,209,197,165,160,192,218,212,197,184,158,132,116,94,70,59,167,200,197,196,194,194,192,193,195,198,202,230,229,215,202,172,169,197,208,199,183,171,145,122,105,83,63,62,178,200,198,198,195,195,192,194,196,199,202,225,227,219,202,174,162,189,193,185,176,160,132,109,91,73,54,114,197,199,199,198,196,196,193,194,197,199,200,221,224,218,198,165,155,173,178,176,165,146,117,97,82,64,99,189,201,199,200,199,198,197,194,195,197,201,203,215,220,213,180,149,156,169,175,177,160,135,115,94,73,101,187,203,201,200,200,199,199,198,193,195,199,178,163,209,207,192,172,164,169,170,182,178,153,122,110,85,75,174,206,204,202,201,201,200,200,199,194,197,199,122,65,174,212,199,190,179,163,157,178,165,131,108,96,70,139,206,206,204,204,203,202,201,200,199,195,199,172,97,74,96,174,192,182,165,147,137,156,137,109,93,72,111,202,208,207,205,205,204,204,202,201,201,196,200,131,84,89,56,76,104,101,95,90,93,110,101,87,70,71,184,210,207,206,206,206,206,205,203,202,202,196,182,102,83,88,63,26,53,53,48,39,36,37,42,46,34,63,182,210,208,207,207,206,206,204,203,203,203,197,146,87,83,86,72,14,35,48,45,35,32,29,26,22,15,18,142,212,207,208,206,206,205,204,203,203,202
19,172,173,175,175,174,174,174,173,173,173,173,173,172,172,171,171,170,170,169,168,168,167,167,166,165,164,163,162,173,174,174,174,174,174,174,174,174,174,174,173,173,172,171,171,171,170,169,168,168,167,167,166,166,166,163,162,174,175,174,175,177,177,176,178,178,174,175,175,174,173,172,172,172,171,171,169,169,168,168,168,167,165,164,164,174,176,177,177,177,178,171,159,164,179,174,176,175,173,173,173,172,172,171,169,170,169,169,168,166,165,165,164,176,177,177,178,174,191,185,161,130,158,181,175,176,174,175,174,173,173,172,171,170,170,169,168,167,167,166,165,177,177,177,179,176,183,205,182,149,112,170,179,176,176,174,174,174,173,173,172,171,171,170,168,168,168,166,164,178,179,179,180,179,177,202,191,161,108,129,186,176,175,174,175,175,173,173,172,171,171,171,170,169,168,166,166,180,180,180,180,180,175,196,189,153,115,104,178,178,177,176,175,175,175,172,172,172,172,171,171,170,168,167,166,181,180,181,182,179,195,193,174,152,115,100,174,182,181,179,177,176,176,174,173,174,173,171,172,171,169,167,166,181,181,183,178,202,216,192,170,171,162,147,165,167,172,179,180,178,177,176,174,172,173,172,172,171,170,168,168,183,184,180,190,211,183,156,150,166,189,194,182,169,159,152,163,173,178,178,174,174,174,173,173,172,171,168,168,183,184,182,213,207,186,147,117,127,165,191,197,195,188,166,158,152,162,168,175,177,176,174,173,172,171,170,168,185,181,203,217,200,186,171,146,125,134,155,171,182,188,186,185,181,179,159,148,159,171,178,174,172,172,171,169,185,185,211,200,179,169,164,164,169,158,148,144,143,150,164,175,186,195,188,165,150,133,151,173,175,172,171,169,182,201,218,197,164,146,147,138,168,182,172,161,143,119,120,150,153,166,173,173,167,148,139,154,164,174,171,170,186,219,223,196,173,160,157,154,150,166,181,177,162,135,121,153,180,168,161,154,154,156,162,154,141,177,171,171,200,222,210,189,174,172,175,176,171,139,134,161,162,151,141,123,179,185,183,179,170,162,155,151,165,176,172,172,212,216,199,176,157,166,190,185,188,149,119,141,129,142,145,133,180,183,182,182,182,182,177,177,176,173,173,172,213,217,197,165,146,127,159,184,198,173,155,139,130,119,121,166,185,182,182,181,179,178,178,177,175,173,173,171,220,221,188,166,158,154,146,149,139,179,183,150,145,124,161,188,182,183,183,182,181,179,178,177,176,175,173,172,222,210,185,170,165,165,164,154,141,158,166,162,134,147,190,184,183,184,183,182,181,179,179,178,178,176,175,173,215,204,190,177,174,171,162,150,142,141,133,124,154,185,187,185,185,184,183,183,181,180,180,179,177,176,175,173,213,197,183,173,168,173,166,154,141,145,131,150,192,188,187,185,186,184,183,183,181,181,180,180,178,177,176,173,208,195,180,154,138,139,144,145,142,139,148,188,189,188,187,186,184,184,183,183,182,181,180,179,178,177,176,175,196,182,160,132,116,103,143,163,155,170,190,192,192,191,191,190,187,187,187,187,187,184,180,178,180,183,183,176,180,157,133,125,116,109,166,179,175,175,171,171,171,170,169,169,169,169,170,165,160,169,182,188,187,177,172,166,152,136,126,123,118,116,117,115,112,111,111,112,111,110,109,110,110,109,104,120,154,181,183,175,170,175,178,151,133,126,122,120,122,120,117,117,114,113,113,113,112,111,110,110,110,107,147,192,186,176,168,172,159,177,198,157
13,118,120,124,132,139,143,146,147,151,154,159,161,162,164,167,168,169,170,169,172,172,171,171,171,172,172,171,170,120,122,127,133,140,144,147,149,152,155,159,162,163,166,169,169,171,171,172,174,174,173,173,172,175,175,175,172,122,124,129,136,143,146,148,151,154,158,160,163,166,168,171,171,172,173,174,173,174,174,175,175,176,176,176,175,124,126,132,138,145,148,151,154,156,160,162,164,168,171,171,169,173,168,172,182,181,178,176,178,178,177,176,176,126,128,133,140,145,149,153,156,159,162,164,167,170,172,178,202,199,155,112,151,165,177,184,179,179,179,179,178,127,130,135,142,147,152,155,159,161,164,168,168,172,170,172,192,203,153,92,66,113,115,157,185,179,181,181,180,127,132,137,143,149,153,157,159,162,167,170,175,186,139,120,132,189,159,98,62,126,101,78,185,183,182,181,181,128,132,139,144,150,154,156,162,164,169,159,197,213,175,133,86,147,192,129,66,132,99,77,184,184,183,183,182,128,133,141,146,152,156,159,162,166,184,132,114,200,206,163,93,70,188,136,67,139,111,88,191,183,185,184,183,131,135,141,147,153,157,160,161,195,202,152,89,113,219,179,118,40,89,116,55,170,119,124,195,184,186,185,184,133,136,142,150,154,159,157,191,193,200,181,127,54,183,173,111,46,24,55,56,141,93,146,197,185,188,186,186,134,138,146,152,157,157,177,199,144,175,190,139,49,133,165,98,45,19,66,108,122,94,95,193,189,189,188,188,135,140,149,154,158,159,205,197,152,152,167,116,51,100,163,119,41,55,135,143,114,96,79,149,200,188,191,189,139,144,151,157,158,173,198,169,129,132,148,93,38,69,176,134,48,137,174,147,109,80,86,98,198,190,191,191,140,146,154,161,159,187,209,177,138,111,129,94,34,27,159,116,102,189,169,141,108,84,72,92,199,192,192,192,141,148,157,165,162,191,215,182,154,101,96,86,37,75,167,166,186,179,154,123,102,81,52,141,205,193,195,194,142,150,160,167,164,199,221,192,161,117,90,93,124,173,199,202,194,167,140,113,94,67,68,191,196,195,195,195,144,153,162,169,167,205,224,203,161,136,146,139,154,178,196,191,184,158,129,109,85,49,107,209,193,197,197,197,148,158,166,172,172,207,215,212,173,157,159,131,169,181,191,192,170,144,120,98,77,40,151,208,196,198,197,197,152,162,170,177,177,196,209,217,187,170,162,141,174,194,181,176,151,127,107,90,56,73,206,201,201,200,200,200,155,165,174,180,182,185,211,210,196,176,160,147,165,189,177,153,136,115,103,80,59,180,211,202,203,202,202,201,159,167,175,180,186,183,203,202,197,184,172,159,155,178,172,145,123,103,95,58,154,218,204,206,205,205,202,201,161,170,178,182,188,186,191,208,200,195,189,169,153,169,165,134,102,99,68,114,218,206,209,209,206,204,211,211,163,172,181,186,191,188,184,209,193,188,182,161,146,157,148,122,89,86,76,199,213,209,211,209,208,215,178,119,165,175,184,189,192,192,188,202,167,166,175,164,148,149,136,116,97,63,140,223,211,212,210,212,219,140,48,24,167,176,185,189,194,194,188,210,175,178,187,178,152,138,129,117,97,61,181,216,216,214,223,221,130,40,40,16,167,178,184,189,193,195,185,215,188,190,198,179,157,133,128,116,94,64,198,217,216,219,169,87,33,41,52,17,168,179,186,191,193,199,186,210,207,208,206,180,161,137,126,117,89,66,202,214,224,169,53,32,18,29,50,35
8,187,187,187,187,188,186,193,155,120,190,186,187,187,186,184,182,182,181,179,178,177,175,174,173,170,170,168,166,189,188,188,188,188,188,186,127,70,189,189,188,188,189,188,186,186,184,182,182,180,179,178,175,173,172,170,168,191,190,190,191,191,193,174,95,83,202,191,191,191,190,190,189,187,187,186,184,183,181,180,178,176,174,173,172,194,193,193,194,194,189,159,60,129,208,191,193,195,194,193,191,189,190,189,187,185,184,182,181,180,178,177,174,195,195,194,195,196,190,136,44,180,200,194,194,194,195,195,192,193,194,190,189,187,187,186,184,182,180,179,176,197,197,196,197,197,190,131,55,193,199,198,201,204,197,196,194,193,195,193,191,190,189,188,187,186,183,181,178,199,198,197,198,199,187,117,62,201,201,199,170,154,204,201,199,201,195,195,193,187,192,188,189,188,185,183,181,200,200,200,201,201,179,106,53,199,204,184,145,85,123,154,109,163,206,195,198,139,169,196,189,190,188,186,184,202,202,203,203,202,183,151,70,172,205,180,169,128,57,100,93,70,160,120,140,147,106,208,191,191,190,188,186,202,203,203,204,205,187,173,98,145,203,178,187,142,74,70,101,76,140,106,71,151,103,139,210,192,191,189,187,204,204,205,204,206,195,166,126,130,164,171,192,150,80,53,75,113,146,94,52,129,142,69,143,200,193,190,188,205,208,206,205,206,199,178,168,143,142,122,172,152,94,45,45,125,132,76,34,91,162,117,60,146,205,190,189,207,209,207,208,209,199,194,160,128,117,114,133,162,98,36,39,131,115,67,14,87,178,128,45,136,208,191,190,209,210,211,208,210,201,179,130,96,76,78,96,180,138,62,47,133,97,41,0,138,179,97,50,194,197,194,192,210,211,211,210,211,198,183,152,117,71,55,37,160,195,110,52,134,84,14,47,152,153,54,119,213,194,196,194,211,212,210,211,212,191,185,168,119,62,57,50,148,181,112,61,105,91,105,114,156,103,45,189,204,199,196,195,212,212,212,212,211,185,191,169,115,76,53,73,182,129,46,79,114,128,135,92,114,54,80,218,198,201,198,195,212,213,214,214,211,190,192,161,128,84,63,89,158,146,142,170,162,136,123,68,65,19,154,214,201,201,199,196,212,213,214,214,210,191,189,169,131,79,75,136,189,190,203,186,154,131,103,54,13,103,216,203,204,202,201,199,213,212,212,214,210,182,189,179,130,85,101,174,196,196,197,170,142,115,82,15,85,218,208,206,205,203,202,200,211,211,214,214,211,184,180,174,141,96,123,183,190,206,189,154,127,100,33,66,214,208,205,205,203,203,200,198,213,213,214,215,215,190,181,172,143,97,131,177,172,180,159,133,109,51,48,203,210,204,204,204,204,202,199,196,215,214,214,215,214,191,184,176,139,109,130,172,158,153,121,100,54,31,188,217,205,207,205,205,204,203,201,197,214,214,214,215,212,192,180,164,145,129,128,165,150,131,103,50,21,173,223,208,212,210,206,204,202,201,200,202,213,213,212,215,205,189,176,169,164,141,128,153,135,104,64,21,164,223,210,213,211,209,205,205,206,209,213,185,219,222,223,226,194,185,180,179,162,140,141,151,116,71,19,145,234,211,216,214,212,218,219,209,192,171,124,63,132,138,144,147,163,194,191,182,160,141,143,132,91,39,53,198,196,200,200,202,202,175,123,83,49,33,13,14,76,78,79,71,150,202,188,169,151,145,122,108,75,29,49,86,91,96,96,97,79,43,14,13,8,6,14,6
1,100,105,123,146,163,172,175,183,191,195,198,201,206,210,211,218,217,216,217,218,219,221,221,220,223,223,222,223,100,106,126,149,166,174,179,186,195,200,204,207,210,223,225,176,222,224,225,222,224,225,225,225,227,225,224,224,103,110,131,154,170,177,183,192,201,207,209,212,217,240,248,134,199,191,210,234,228,229,230,229,229,228,227,227,105,113,135,158,174,180,188,198,206,211,218,236,170,238,250,131,190,194,151,244,234,235,237,235,235,233,231,230,106,116,140,161,176,183,191,203,211,214,228,255,144,218,250,124,190,222,126,228,246,242,242,240,240,239,237,236,106,119,146,165,180,186,194,206,215,220,232,255,152,203,255,140,194,231,127,207,255,245,246,246,245,245,243,242,108,123,150,170,186,191,200,211,219,222,239,255,162,185,247,145,197,249,146,193,255,248,251,251,250,250,248,247,109,126,153,174,188,194,201,214,225,234,192,255,173,159,224,147,196,244,151,186,255,254,255,255,255,255,254,252,110,130,158,179,192,198,207,216,241,246,149,251,178,135,235,158,186,255,165,187,255,255,255,255,255,255,255,255,111,134,162,182,194,199,213,220,255,235,141,255,191,121,221,151,183,255,178,187,255,255,255,255,255,255,255,255,112,136,164,185,198,202,216,224,255,233,131,244,214,127,183,177,184,243,183,181,255,255,255,255,255,255,255,255,114,139,167,188,199,205,219,227,255,248,127,205,241,195,199,207,181,171,155,177,255,255,255,255,255,255,255,255,115,142,169,191,203,208,223,230,255,254,130,177,198,204,209,164,171,210,149,180,255,255,255,255,255,255,255,255,118,146,174,195,207,212,228,235,255,255,185,202,127,182,156,135,231,255,230,176,255,255,255,255,255,255,255,255,119,150,178,201,210,216,230,238,255,255,206,175,128,163,120,182,249,255,255,192,152,255,255,255,255,255,255,255,121,153,180,202,213,220,234,244,255,255,199,153,135,171,175,252,255,255,235,165,120,189,255,255,255,255,255,255,123,155,184,205,214,222,238,249,255,255,203,148,153,182,202,255,255,255,219,157,115,168,255,255,255,255,255,255,126,159,187,209,217,224,242,250,255,255,218,150,167,199,228,255,255,255,217,162,102,193,255,255,255,255,255,255,130,163,190,211,219,228,245,252,255,255,244,163,176,210,236,255,255,255,205,160,101,219,255,255,255,255,255,255,133,167,194,214,221,231,248,254,255,255,255,182,185,214,231,255,255,251,191,151,98,240,255,255,255,255,184,111,137,170,197,218,224,235,250,255,255,255,255,201,204,202,227,255,255,242,178,143,101,255,255,232,135,83,58,65,140,173,201,220,226,236,252,255,255,255,255,220,223,195,230,255,255,227,169,130,112,255,201,79,53,59,63,55,143,174,203,222,227,237,252,255,255,255,255,241,227,204,211,255,246,213,155,121,132,177,73,83,69,37,60,64,145,177,206,221,226,237,250,255,255,255,255,249,234,221,190,239,230,195,149,124,100,58,49,78,86,31,37,70,146,180,208,225,228,240,254,255,255,255,255,255,242,235,195,204,228,184,148,120,81,73,48,43,85,53,22,52,148,181,211,227,229,243,255,255,255,255,255,255,252,236,191,184,213,179,141,107,86,72,58,22,60,75,21,30,146,182,213,228,232,246,255,255,255,255,255,255,231,222,193,186,184,166,127,98,92,59,57,29,35,74,42,13,162,186,208,219,227,239,248,255,255,255,255,255,227,231,219,185,166,159,122,94,85,71,47,35,22,57,60,16
10,84,94,104,120,141,150,157,162,164,166,167,168,170,170,170,171,173,171,171,169,168,167,166,164,162,161,158,156,85,95,105,122,142,151,158,162,165,167,168,170,171,172,173,173,173,172,171,170,169,171,166,165,164,162,159,157,87,96,106,124,143,153,160,163,166,169,170,172,173,174,175,175,175,174,172,172,172,160,166,168,165,163,161,158,88,97,108,125,145,155,161,165,168,171,172,173,175,175,177,177,178,177,176,174,181,128,129,175,165,165,163,161,90,98,109,127,147,156,162,167,170,171,175,177,177,178,178,179,179,180,178,176,185,130,111,176,168,168,164,163,92,100,110,129,148,158,165,169,170,173,176,178,178,180,182,182,182,182,181,179,185,128,107,176,171,170,169,166,92,101,112,130,150,159,166,171,172,174,179,180,182,182,185,185,185,183,184,183,191,133,109,180,174,173,171,169,94,103,113,133,152,160,167,172,173,176,180,183,184,185,186,186,186,186,184,186,173,132,109,182,177,176,174,171,95,104,114,134,153,162,168,173,176,178,183,185,185,186,187,188,189,190,191,194,114,107,107,184,179,177,176,174,96,104,114,136,154,162,170,174,176,179,184,185,186,189,189,189,190,186,176,171,107,82,113,187,180,179,176,175,97,105,115,137,153,164,171,175,177,181,185,186,188,191,192,196,197,184,156,107,96,68,120,193,182,181,179,177,98,106,116,138,154,165,171,177,180,182,186,188,190,191,189,169,182,179,134,81,75,82,100,192,184,183,180,178,100,107,117,140,154,166,172,177,179,184,187,191,193,199,184,139,112,90,72,78,97,83,78,186,186,184,182,179,101,109,118,141,155,166,174,178,181,184,189,192,183,175,196,167,109,46,49,72,151,105,76,181,189,185,183,180,101,109,119,141,155,167,174,179,182,184,189,196,177,138,148,183,132,65,56,72,165,135,77,175,193,186,184,182,101,110,120,141,155,168,174,179,182,187,190,196,192,176,131,165,140,85,48,89,166,144,76,157,198,187,186,184,102,110,120,142,157,168,176,181,183,188,192,195,162,171,127,125,141,93,56,132,166,140,73,140,201,187,187,185,103,111,122,144,158,168,175,182,184,188,191,201,167,129,121,95,151,140,94,164,155,116,71,149,200,188,188,184,102,111,123,145,158,168,175,182,185,189,192,197,178,138,116,113,144,154,103,162,144,97,68,167,199,189,189,186,103,111,123,145,158,168,176,182,185,190,193,197,202,166,126,111,113,146,139,158,132,94,64,178,200,191,190,188,103,112,124,146,158,168,176,183,185,190,193,195,202,181,151,126,123,188,186,150,123,89,70,190,198,192,190,188,103,112,125,146,158,169,177,183,186,190,194,196,187,178,161,145,135,181,176,139,114,80,81,201,197,195,192,190,103,111,125,146,158,169,178,183,186,190,194,199,183,176,166,154,138,173,168,128,103,63,102,209,195,196,193,191,102,109,123,145,158,168,177,183,186,190,193,197,194,174,169,152,132,151,148,114,92,53,143,208,195,194,192,190,100,108,122,143,155,167,176,181,183,188,191,194,199,185,164,146,129,132,139,115,85,69,188,200,195,192,190,188,100,107,120,142,154,167,176,181,184,188,192,195,198,198,170,146,142,134,142,124,74,103,207,195,194,191,190,187,100,106,120,141,153,166,175,181,183,188,191,195,198,196,180,164,159,141,139,114,69,131,209,195,193,191,189,187,97,104,120,141,151,164,173,179,181,186,190,193,196,187,191,174,161,140,122,104,66,138,207,193,192,191,188,186
0,179,181,182,184,186,188,188,189,190,191,192,192,193,193,193,193,192,193,194,193,192,190,190,189,188,189,189,188,180,182,183,186,187,188,190,190,192,193,193,194,194,194,194,194,193,194,194,194,192,191,192,192,190,189,190,188,181,183,186,187,188,189,191,193,193,195,196,196,195,195,195,196,193,194,194,195,194,193,192,192,192,189,191,190,182,183,184,187,187,188,191,193,193,195,195,196,196,198,196,197,197,197,194,196,195,194,193,192,191,190,192,191,182,185,186,187,188,190,194,193,196,200,197,195,188,180,196,195,178,180,196,193,194,194,196,193,193,192,193,192,182,185,187,188,190,192,193,194,192,171,183,212,180,135,139,198,164,113,160,211,196,178,159,200,193,194,194,194,184,186,188,189,190,193,192,198,199,165,127,197,199,152,105,199,171,121,103,160,169,190,124,179,202,193,195,195,185,187,189,189,192,193,191,214,214,195,134,130,206,145,112,202,168,127,77,119,142,195,164,131,182,200,194,195,186,187,189,191,195,192,203,206,201,201,143,92,188,152,121,207,171,107,107,160,119,186,188,161,130,170,201,195,187,189,191,192,195,191,215,186,180,191,118,97,184,140,127,198,154,86,123,164,91,169,211,183,136,97,200,197,187,190,192,194,192,192,221,193,181,171,94,114,178,118,118,175,138,79,123,160,100,201,220,177,119,93,199,197,188,190,192,195,192,209,214,182,175,166,107,116,158,105,101,153,127,67,127,145,140,206,189,158,83,141,210,196,190,192,194,195,193,223,216,173,136,147,107,102,158,107,90,160,107,89,166,156,171,175,150,118,81,191,203,200,190,193,194,196,194,224,214,188,156,109,63,110,186,114,96,180,163,180,170,156,133,149,126,79,125,210,199,201,191,193,194,195,198,225,204,188,174,148,100,96,130,95,102,204,201,180,160,149,111,112,112,67,168,210,200,199,191,193,195,194,205,229,206,188,174,164,127,91,107,136,197,212,197,171,151,137,103,93,89,74,198,205,200,201,192,193,196,194,210,231,211,191,177,173,142,113,118,179,218,207,189,161,140,121,92,88,61,136,214,201,200,202,193,194,196,194,210,229,216,195,179,174,152,118,124,194,219,201,182,153,130,104,85,67,89,207,203,203,202,201,193,194,196,197,204,229,217,200,184,169,152,118,154,200,208,191,177,145,116,91,76,63,179,211,204,205,202,202,192,195,197,198,203,229,215,203,188,167,148,135,181,195,182,182,167,133,98,82,54,146,216,205,205,205,206,205,194,195,200,195,206,230,218,214,189,166,157,163,193,170,166,167,149,116,90,58,109,215,206,207,207,207,207,207,194,196,198,191,220,228,221,220,193,173,163,173,184,152,161,151,128,100,70,76,205,210,209,209,208,207,207,207,195,196,194,198,227,215,218,214,181,170,169,169,155,152,153,138,115,82,67,181,215,208,208,208,208,207,206,206,193,196,191,208,207,190,203,196,167,166,167,155,147,145,130,120,89,62,164,215,206,210,207,208,207,206,206,205,194,191,189,215,193,170,171,169,159,158,159,145,135,131,114,95,68,145,210,207,209,209,208,207,206,206,206,206,197,180,202,213,174,163,155,146,145,167,157,119,125,125,97,62,144,211,207,211,210,210,209,208,208,207,207,207,188,181,223,204,159,145,151,129,138,168,136,105,127,112,67,119,208,210,209,210,210,210,209,209,209,208,208,207,175,205,220,200,156,132,139,121,140,153,122,108,117,81,80,193,209,210,211,210,210,210,209,209,209,209,209,207
1,151,152,154,155,156,157,158,157,158,158,159,159,160,160,160,160,160,160,160,160,160,160,159,159,158,159,158,157,153,156,157,158,159,159,160,160,161,162,162,162,162,163,163,163,163,162,162,162,162,162,162,161,160,160,159,159,157,159,160,161,162,163,163,164,165,165,166,166,166,165,163,165,167,158,154,164,165,165,164,164,163,162,161,161,162,163,164,166,166,166,167,168,169,170,170,170,171,166,147,160,173,150,131,163,168,168,168,167,165,165,164,164,165,167,168,170,170,170,170,171,171,173,173,173,178,167,128,154,174,141,122,160,162,168,171,170,168,168,167,167,168,170,171,173,174,174,174,175,175,175,171,166,179,161,125,159,171,131,129,156,137,156,174,173,172,171,171,170,171,172,173,175,177,178,178,178,179,179,164,143,162,149,127,168,169,127,140,161,124,144,176,176,175,174,173,173,174,175,176,178,180,180,181,181,181,184,158,127,147,143,132,174,170,131,154,165,122,143,179,179,178,177,176,176,176,178,180,182,183,184,183,184,184,185,150,124,141,137,133,170,161,132,164,166,120,147,181,182,182,180,180,179,179,180,183,184,186,186,186,186,187,186,147,125,135,127,124,163,149,131,173,167,124,154,184,186,185,184,183,182,181,183,185,186,187,188,188,189,190,187,143,121,133,128,121,167,147,139,178,161,126,163,187,188,187,186,186,185,184,186,187,188,189,189,190,191,193,191,146,115,130,126,120,166,145,148,181,155,126,171,191,190,189,188,187,186,186,188,190,191,192,192,192,192,196,193,148,110,122,119,118,154,137,156,183,154,133,180,194,192,191,190,189,188,188,189,191,193,194,194,194,194,199,194,154,124,138,151,152,165,153,149,166,147,140,188,196,195,194,193,192,191,190,191,192,194,195,196,196,197,203,193,159,130,125,152,172,178,174,145,134,128,147,193,198,197,196,195,194,193,192,193,194,195,197,198,198,200,207,188,151,121,104,114,138,162,188,170,123,104,154,198,199,199,198,197,196,195,193,195,196,198,199,200,200,204,210,187,147,116,104,108,125,158,196,192,143,105,164,201,201,200,200,199,198,197,195,196,198,200,201,201,201,207,211,185,145,118,114,124,154,177,187,187,153,117,168,202,202,201,201,200,200,200,196,197,199,201,202,203,202,209,210,183,147,122,124,140,180,195,182,164,138,112,156,202,204,203,203,202,201,200,197,198,200,202,203,204,204,210,210,185,152,131,132,158,199,199,175,148,116,101,157,205,206,205,205,204,202,201,199,200,201,203,203,205,206,210,209,185,155,139,136,170,207,198,165,134,104,102,172,208,208,207,206,206,204,202,200,201,202,204,204,205,206,209,207,186,162,147,138,171,206,190,153,121,97,119,189,209,208,208,207,207,206,205,201,203,204,205,206,206,207,208,205,187,168,153,138,171,198,176,141,110,99,152,204,210,209,209,209,209,208,207,201,204,205,206,207,208,209,209,207,191,170,153,139,172,185,163,131,101,113,184,211,211,210,210,211,210,209,208,202,204,207,207,208,208,208,210,210,195,173,150,139,165,165,147,119,97,139,203,213,213,213,212,212,211,209,209,202,204,206,208,208,208,206,210,212,203,180,151,143,157,149,134,110,107,171,212,215,215,215,214,213,212,210,210,202,203,205,206,207,206,204,209,208,202,181,155,148,149,139,122,104,137,199,215,215,215,215,214,214,213,212,211,203,204,205,206,206,204,204,203,195,191,175,153,145,138,127,107,110,174,212,216,215,215,215,214,214,213,212,211
7,150,150,152,153,153,153,152,152,152,153,151,150,151,149,149,148,147,146,145,145,144,144,142,146,118,35,26,37,151,151,153,154,154,154,155,154,153,153,153,152,152,151,154,150,149,148,146,144,146,142,141,147,137,106,87,78,152,153,155,157,157,157,157,156,156,156,154,152,154,146,132,142,144,141,130,131,127,130,150,138,116,76,141,139,154,156,157,158,157,158,158,157,156,155,156,157,158,149,129,133,150,146,128,124,119,122,153,123,107,101,159,108,156,157,158,158,158,158,158,158,162,165,172,172,166,145,135,139,126,117,119,108,108,97,95,115,130,110,104,87,157,158,159,160,161,161,153,158,170,176,175,167,160,153,150,147,126,95,119,127,115,111,101,102,88,108,103,132,159,159,162,160,172,175,162,157,163,166,162,160,158,156,156,142,124,113,119,125,117,116,111,95,76,102,101,109,159,160,162,164,188,180,169,157,158,164,163,161,160,157,154,142,123,110,99,92,86,87,81,76,72,74,89,140,161,163,161,177,191,181,161,141,146,159,163,159,152,138,125,110,96,102,96,98,105,113,116,115,125,133,139,133,163,164,162,189,187,177,149,134,148,143,135,128,116,109,102,91,87,109,167,161,160,161,160,159,156,153,154,121,165,161,174,194,184,172,158,153,145,131,132,136,134,129,124,122,129,79,88,153,159,156,156,154,151,150,150,149,165,163,190,191,186,183,183,170,141,139,143,141,136,123,120,116,110,85,26,85,167,157,158,156,154,152,151,151,161,173,195,191,189,188,189,170,127,127,134,130,124,115,110,103,92,74,37,60,165,158,159,158,156,154,152,151,165,191,194,192,190,187,181,157,131,123,104,87,85,99,110,116,124,103,47,115,165,158,160,159,157,157,154,151,182,196,193,192,190,181,172,157,142,126,108,99,114,142,141,125,129,112,109,172,159,160,160,159,158,157,155,152,192,194,195,192,184,176,167,148,133,140,128,122,137,135,123,115,113,85,109,173,161,162,161,160,159,157,156,154,194,195,192,190,181,167,144,136,151,156,134,126,128,120,115,108,99,59,127,171,164,164,161,160,160,158,157,155,194,193,191,186,173,155,153,163,170,158,140,119,103,90,80,66,62,95,165,166,166,166,164,161,160,159,157,155,193,189,182,176,168,165,168,165,160,146,122,99,71,105,84,96,139,168,169,168,166,165,164,163,160,159,157,156,187,182,174,172,170,173,165,150,146,136,118,85,111,174,173,176,176,169,170,168,165,165,165,164,161,160,159,156,178,172,174,171,166,164,157,146,144,125,83,109,178,173,172,171,170,171,171,168,168,166,165,165,163,161,160,158,170,164,166,165,157,152,147,140,121,82,95,176,174,173,172,171,171,171,170,168,168,168,166,165,163,162,158,155,169,164,159,152,142,138,132,118,80,88,170,176,172,172,172,172,171,171,169,168,167,166,166,164,160,162,163,150,166,159,148,135,123,119,105,73,91,168,178,175,174,174,172,171,171,170,169,168,168,168,164,162,169,141,80,120,149,136,123,107,99,84,64,101,173,179,175,176,175,175,173,172,171,171,170,168,167,165,167,169,150,70,25,31,129,117,108,101,82,81,131,181,178,175,176,176,175,175,173,172,172,172,169,169,174,174,157,107,52,32,29,25,124,121,104,82,81,173,184,176,176,176,176,176,175,175,174,172,173,173,175,167,142,102,55,32,30,34,29,27,141,131,106,71,93,186,174,177,176,175,176,176,175,175,173,171,167,159,124,77,40,21,26,29,25,26,27,27
7,198,200,202,204,205,206,207,209,209,210,210,210,209,209,209,209,210,211,210,210,210,209,208,207,206,203,201,200,200,201,203,205,207,208,209,210,210,211,211,212,212,212,212,212,212,213,212,212,212,211,210,208,207,206,204,203,201,203,205,207,208,210,212,213,213,213,213,214,214,215,215,215,215,214,213,214,214,213,212,210,209,208,207,206,202,206,208,209,210,212,213,214,215,215,215,216,216,217,216,216,216,216,216,215,216,214,213,212,211,211,209,208,205,208,210,212,213,214,215,216,216,217,217,217,217,218,218,217,218,218,217,217,217,216,215,214,213,213,212,210,206,209,211,213,214,216,217,218,218,219,219,218,219,220,220,220,220,219,219,219,218,218,217,215,215,215,214,212,208,211,213,215,215,217,219,220,220,220,221,221,221,221,222,222,222,221,221,222,221,220,219,218,217,216,216,215,209,211,214,215,217,218,220,221,222,224,221,220,221,222,222,222,223,223,223,223,222,221,220,218,217,217,216,215,210,212,214,216,218,220,221,225,230,230,210,191,201,213,216,214,216,219,218,218,215,217,212,221,226,216,217,215,212,214,216,218,222,227,230,231,233,232,221,185,171,190,202,203,205,200,198,203,202,208,200,214,208,208,219,217,214,218,226,231,233,232,230,227,221,218,212,181,160,172,187,195,197,194,192,190,187,192,183,182,180,207,217,217,229,234,234,233,230,225,219,211,206,212,217,191,160,152,157,168,181,188,185,184,189,189,185,191,191,196,209,206,243,237,231,225,218,213,209,206,209,217,219,194,162,157,159,156,153,147,157,168,171,175,171,174,181,181,183,200,241,234,225,215,206,201,200,202,206,214,205,179,157,154,164,171,164,148,164,214,212,208,204,204,203,205,211,223,235,231,224,213,204,201,201,198,197,207,209,184,150,139,154,163,164,158,155,224,233,232,231,231,229,229,228,227,230,228,225,217,211,206,206,204,203,209,216,192,163,160,164,157,154,142,177,234,233,233,233,231,230,229,228,228,224,221,219,217,215,210,207,204,204,207,209,191,170,171,172,164,160,154,221,235,234,235,233,233,232,231,230,230,203,202,207,214,216,213,206,201,198,196,184,171,155,150,156,159,148,194,238,235,234,235,234,234,233,233,232,230,124,133,158,189,207,206,195,187,180,171,165,154,120,103,119,145,153,223,237,235,235,235,234,233,232,232,230,205,68,68,76,100,138,166,167,173,180,194,214,218,155,119,136,158,201,237,238,237,236,235,234,234,234,232,196,141,63,59,57,56,60,83,183,225,233,237,238,240,220,188,205,224,237,239,238,237,236,236,237,220,190,169,134,112,57,54,51,50,44,97,232,237,237,237,238,238,238,238,239,238,238,239,239,238,239,231,197,151,131,119,107,96,52,50,47,46,40,100,236,237,237,238,239,239,238,238,238,239,240,240,240,240,229,166,114,105,115,107,99,94,50,52,49,45,33,94,236,238,238,239,239,241,241,241,240,241,241,241,242,234,186,128,95,80,94,94,90,91,57,59,54,42,25,83,216,220,223,225,226,227,229,229,230,232,233,234,227,166,117,123,93,70,75,87,83,84,67,61,47,29,26,61,144,148,150,152,154,157,160,161,162,164,164,169,163,118,93,117,91,63,65,74,76,77,72,54,34,25,30,73,133,131,131,132,132,133,133,133,134,132,133,145,140,104,85,110,86,61,62,67,70,72,65,41,29,30,33,94,141,139,139,140,140,139,139,138,138,137,139,130,115,98,82,103,80,61,59,63,66,68
11,165,168,170,173,176,176,178,179,180,180,180,179,180,179,178,177,176,175,174,174,171,171,169,168,166,166,165,162,168,170,172,176,178,178,181,181,182,183,182,181,181,181,181,179,179,177,176,175,173,173,172,171,169,167,165,164,170,173,175,177,180,181,182,183,184,184,184,183,183,182,181,180,180,180,177,176,176,175,173,172,170,170,167,166,171,174,176,179,182,182,184,185,184,186,186,186,185,184,183,182,176,179,182,179,177,177,175,173,173,171,169,167,173,176,178,180,182,185,187,187,186,187,186,187,187,187,184,190,175,124,178,180,178,178,178,175,175,174,171,168,174,178,179,181,184,186,187,187,187,188,188,188,188,187,184,196,183,101,156,188,179,180,180,179,177,175,172,172,176,179,182,184,186,187,188,190,189,189,189,190,189,188,186,196,177,108,149,191,180,180,181,180,177,176,174,173,178,180,184,186,187,188,191,192,193,192,191,191,191,191,185,201,188,116,148,193,183,181,181,180,179,177,175,174,178,181,184,187,188,191,193,193,193,193,193,191,192,193,187,208,197,124,139,195,184,183,182,181,180,178,177,175,181,183,185,187,190,192,193,194,194,194,194,193,192,193,189,210,182,113,138,196,183,184,184,183,181,180,177,176,182,185,186,189,192,193,194,194,195,194,195,194,196,199,195,210,175,107,142,197,185,186,186,185,183,181,179,177,183,186,189,192,194,195,195,195,196,197,201,201,186,152,175,215,172,112,152,197,186,188,187,185,184,182,181,178,186,187,190,194,195,196,197,202,205,192,162,177,175,122,110,189,149,101,163,198,188,188,188,187,186,184,181,179,186,189,191,193,197,197,198,166,174,186,130,88,157,144,86,94,101,86,183,196,191,190,188,187,187,185,181,180,187,191,193,194,197,202,202,153,99,172,145,84,157,142,84,73,78,104,201,192,192,192,192,191,190,189,184,181,188,192,194,197,196,214,208,180,97,152,154,84,146,124,81,75,74,115,204,193,194,192,187,182,173,169,184,187,191,193,195,197,206,226,211,176,100,114,136,76,130,119,78,66,63,110,206,193,194,188,178,169,147,132,130,162,192,194,197,196,217,209,190,174,106,82,121,78,151,131,87,59,68,116,208,188,198,196,161,131,105,100,83,100,193,195,199,198,220,223,195,163,89,100,139,82,186,175,103,67,85,110,183,191,192,147,87,76,117,142,135,150,194,196,200,199,224,226,198,144,107,127,198,110,178,174,82,81,122,133,171,184,147,82,87,173,201,197,196,191,194,197,201,199,227,222,183,160,152,114,222,128,86,137,113,136,137,131,149,132,81,100,194,200,192,190,188,186,193,197,200,199,223,219,196,175,144,130,171,119,130,177,170,149,129,113,112,76,90,200,200,194,194,192,190,187,195,199,202,201,217,219,205,182,166,182,190,196,175,162,152,137,125,99,74,83,188,204,197,197,196,194,192,189,196,199,203,202,212,215,200,179,154,154,172,177,163,158,137,129,117,68,99,190,206,200,200,198,198,194,192,191,195,200,199,207,211,208,193,156,133,151,166,159,153,140,130,119,74,113,207,209,201,201,200,199,197,194,193,192,194,203,106,75,188,194,177,149,152,162,159,150,137,121,95,76,135,212,206,203,202,200,199,199,197,194,192,190,205,152,59,50,102,176,187,183,175,152,150,131,105,68,100,188,214,206,205,205,202,201,200,199,197,194,192,190,195,90,60,69,58,89,154,166,155,140,129,110,76,74,205,217,206,207,205,204,203,201,200,199,197,194,193,191
13,159,163,165,166,168,168,170,173,173,172,171,173,173,174,177,174,174,177,175,175,174,174,174,175,175,175,175,174,162,164,166,168,171,172,174,174,174,174,174,174,174,175,168,176,181,176,176,176,176,176,178,178,177,178,176,175,164,167,169,170,171,173,175,174,175,178,183,179,183,176,126,87,161,184,177,176,179,179,180,180,181,181,179,179,165,168,172,173,174,176,176,176,177,174,155,162,196,181,132,46,119,198,180,187,181,183,183,182,182,183,182,182,166,170,172,173,176,179,180,176,197,178,117,90,162,178,131,54,96,119,102,144,188,183,183,182,181,182,183,182,168,171,174,176,177,180,180,173,207,199,143,86,153,183,117,49,72,136,81,35,163,193,185,185,184,184,184,185,170,171,174,178,178,177,184,146,98,139,166,91,144,180,106,42,148,161,98,30,116,202,186,187,187,189,188,187,172,174,177,180,178,188,195,146,99,63,148,90,135,203,106,75,169,133,91,32,121,201,186,189,189,190,190,189,175,179,181,179,189,190,187,167,123,63,116,106,100,168,88,79,177,140,83,24,148,200,188,190,192,191,191,191,176,180,182,182,196,154,166,176,118,61,78,126,51,16,21,89,192,146,64,33,172,196,191,192,191,193,192,191,177,180,180,189,196,161,136,161,122,56,55,117,67,0,31,131,138,77,25,54,194,194,193,194,191,193,194,193,181,182,183,201,190,155,113,165,117,58,49,95,72,0,23,143,157,111,52,104,210,193,196,196,194,194,194,194,181,182,184,208,193,156,102,151,110,58,40,95,81,42,145,145,141,133,103,73,194,197,197,197,196,195,195,196,182,183,187,209,183,147,97,121,115,68,39,142,111,108,189,162,131,101,83,45,150,209,197,199,197,197,197,197,183,184,189,208,184,157,130,103,108,106,21,123,143,176,177,154,127,84,65,47,165,206,198,200,199,198,198,197,183,184,193,209,186,163,143,111,79,63,36,149,190,198,174,142,114,79,57,61,194,201,199,201,201,199,199,199,184,184,194,209,187,161,145,136,96,81,106,195,196,197,162,128,101,71,49,91,209,199,202,201,202,200,199,200,186,185,192,202,188,167,152,147,109,95,101,182,197,182,140,110,86,63,45,152,213,202,205,202,202,201,201,202,186,187,188,192,190,171,156,150,122,93,102,184,194,163,127,98,77,49,88,207,205,206,205,204,203,203,204,203,186,186,187,192,193,174,156,150,127,97,118,168,182,143,118,87,69,42,158,214,202,206,205,204,204,204,203,203,184,187,188,193,194,175,155,145,126,96,126,159,150,123,105,78,58,65,199,203,203,204,204,203,204,204,203,203,184,188,186,195,193,165,149,134,108,94,135,139,120,110,90,73,44,130,214,202,204,204,204,204,204,203,202,203,185,188,180,197,184,155,146,118,100,103,138,122,109,101,80,58,77,198,204,203,203,205,205,205,205,204,204,204,184,184,180,208,177,159,146,118,112,123,140,116,107,85,69,54,167,209,202,205,204,205,205,205,205,205,205,204,186,179,188,213,180,172,150,118,124,138,124,104,93,68,45,120,207,203,203,204,204,206,205,205,206,205,205,205,186,177,191,196,175,177,155,127,135,131,109,90,73,53,61,191,206,203,204,204,204,206,206,206,206,205,204,205,189,172,189,181,160,161,146,123,122,124,98,70,66,36,128,210,203,205,203,205,204,205,207,207,207,206,206,207,126,146,195,172,150,131,123,110,121,131,82,66,60,43,159,197,195,200,202,203,205,205,208,208,206,208,204,195
18,125,126,129,132,134,138,140,141,143,145,147,149,149,149,150,150,150,150,151,152,153,154,156,155,155,156,155,155,127,129,132,134,137,141,143,144,148,149,151,152,152,152,153,154,152,153,154,155,157,157,159,158,158,159,158,159,129,132,136,138,141,143,145,150,152,152,153,155,155,155,157,157,157,157,158,159,159,159,160,160,161,162,161,160,132,135,138,141,143,146,149,151,153,156,157,158,159,159,159,159,159,159,160,160,160,162,163,161,162,164,164,164,135,136,140,143,146,148,152,154,157,158,159,160,161,162,164,162,161,163,166,169,166,164,170,167,169,167,166,168,136,138,141,146,148,150,153,157,160,160,161,162,164,165,165,166,166,167,148,142,163,170,140,113,136,171,170,170,140,141,145,149,151,153,156,159,160,162,163,165,167,166,167,166,167,170,128,114,149,175,128,63,75,124,182,168,142,144,148,151,153,155,159,162,163,165,166,167,169,170,167,171,169,155,151,150,173,157,155,97,54,60,171,176,144,148,150,153,156,159,162,166,167,168,169,171,171,172,175,143,147,135,151,154,148,121,179,123,63,23,138,190,146,149,153,156,159,162,165,168,169,170,171,171,165,193,187,120,90,107,129,122,74,129,203,136,86,25,119,193,149,151,154,158,160,163,166,169,171,172,170,184,119,128,175,125,92,79,124,72,33,181,200,148,107,32,115,194,150,153,157,158,162,167,168,171,173,168,191,205,112,63,167,150,127,83,177,101,39,195,206,173,128,42,123,198,151,154,158,161,164,169,172,174,172,186,189,197,140,82,136,175,134,76,139,140,77,163,215,188,130,58,75,198,152,156,160,163,167,170,173,173,182,193,140,193,170,112,95,172,135,95,41,111,184,194,185,156,120,82,34,164,154,158,162,165,167,172,175,172,195,201,140,180,182,130,75,140,148,98,125,182,189,193,154,137,118,98,35,138,156,159,164,167,170,174,176,183,195,170,121,140,156,111,53,97,115,137,208,190,171,165,141,124,117,86,44,167,158,162,167,169,172,175,176,182,206,175,121,117,101,66,32,24,111,209,201,183,161,146,134,103,96,51,81,201,160,165,168,171,174,178,179,180,204,180,149,120,54,46,10,34,201,202,188,173,159,146,110,83,66,31,150,201,164,166,169,172,176,180,180,183,206,189,169,128,79,118,67,154,215,198,189,168,153,133,89,66,45,62,199,193,163,166,171,174,176,181,180,189,207,203,160,120,157,143,131,219,202,200,179,157,142,108,72,58,34,110,208,194,166,169,173,176,178,182,181,197,204,207,148,143,171,124,179,225,210,190,168,151,128,86,56,53,39,174,203,195,167,171,174,177,182,184,181,196,211,202,152,155,167,113,211,213,213,179,153,131,102,66,52,32,102,206,195,198,168,172,174,178,182,185,187,184,199,204,162,170,153,126,223,214,195,165,143,115,77,54,46,44,186,204,198,200,170,173,176,180,183,186,191,185,186,193,172,180,150,166,199,200,174,145,127,99,67,58,27,111,214,197,200,201,170,175,179,182,183,186,191,189,178,189,175,188,167,163,172,177,158,138,113,87,66,47,49,192,204,202,201,201,172,177,181,183,185,188,190,191,176,195,187,177,161,138,158,174,161,127,98,77,61,30,134,213,201,204,204,204,172,178,179,183,187,189,192,194,175,182,159,148,140,128,157,164,154,120,82,67,39,63,200,202,204,205,206,206,173,177,180,184,188,190,193,195,184,169,139,148,144,165,169,165,145,113,80,63,29,122,213,203,205,206,206,207
2,152,152,153,153,153,153,152,152,152,150,149,149,148,147,146,146,147,143,142,142,141,139,139,136,135,134,133,132,154,154,154,154,154,154,154,153,153,152,152,151,150,149,147,148,148,145,145,145,143,140,139,138,138,135,133,132,154,154,155,155,155,154,155,155,154,153,153,153,152,152,148,149,150,148,147,146,145,142,140,139,138,137,135,131,156,156,157,157,156,156,157,155,154,155,155,153,150,146,147,145,144,149,149,148,147,144,142,140,138,138,136,133,158,159,158,158,157,158,157,157,156,157,154,161,156,141,143,139,122,126,130,134,136,140,144,143,139,138,138,136,159,161,160,159,159,159,158,159,159,155,165,187,179,173,174,172,155,129,105,91,90,123,134,138,141,140,138,137,160,160,159,160,160,159,160,160,160,150,153,166,159,152,155,162,157,153,130,94,98,125,98,107,147,139,139,138,161,161,162,162,160,161,162,158,163,174,164,168,171,159,143,131,109,118,137,131,147,110,72,124,147,141,140,139,162,163,164,163,163,163,160,163,187,177,168,166,169,166,157,150,121,125,129,109,114,87,105,150,144,143,142,139,163,164,164,164,164,163,161,185,173,132,118,132,143,133,131,163,129,118,130,79,98,118,145,148,145,143,143,141,164,164,165,165,164,164,180,183,144,146,159,163,163,147,144,153,102,79,97,110,153,153,151,152,150,145,143,143,165,164,166,166,165,168,189,164,163,182,185,161,136,123,107,102,115,145,147,155,154,156,147,127,118,137,147,143,165,165,166,166,166,174,177,176,175,159,136,114,84,71,50,94,168,158,160,155,157,126,82,67,65,76,137,146,166,166,167,166,166,175,180,186,154,113,85,64,56,52,42,54,159,158,155,162,119,62,69,78,82,60,120,150,166,166,167,165,163,182,192,166,126,87,61,50,51,47,49,36,91,171,167,139,66,73,84,89,81,88,141,147,166,166,168,164,160,197,186,137,93,72,58,47,50,50,50,49,43,94,147,95,63,90,89,78,103,140,148,145,167,167,169,163,170,202,165,115,83,75,53,46,51,50,50,53,56,39,46,71,74,86,77,101,152,150,146,146,168,168,170,161,171,185,143,103,83,67,46,50,53,58,59,62,66,63,46,73,79,76,79,143,155,150,148,146,167,168,169,160,168,176,137,100,76,60,47,51,59,66,68,73,76,79,63,74,82,73,107,159,152,152,150,148,165,165,168,155,170,178,137,101,75,64,49,52,63,74,79,82,87,91,78,70,84,72,133,158,152,152,150,147,166,166,170,148,171,172,133,104,82,71,55,53,66,81,91,93,96,95,85,72,77,115,154,153,152,149,145,146,167,167,173,150,170,165,130,105,84,76,66,54,70,87,93,95,98,93,80,79,126,156,155,153,150,150,168,183,166,167,171,150,164,163,133,108,90,82,72,56,71,87,92,93,92,89,73,113,163,154,155,153,170,174,202,204,166,167,171,150,161,159,128,107,95,86,73,60,74,82,85,85,83,74,94,151,158,156,151,193,222,191,179,207,170,171,174,155,159,156,124,108,93,84,75,66,77,77,78,79,74,96,151,163,163,152,182,219,207,218,182,180,141,142,146,134,157,154,125,106,89,82,78,73,77,76,74,77,99,139,147,145,136,177,213,215,203,195,213,169,74,76,73,87,169,149,121,98,87,84,82,77,70,76,80,68,70,70,73,60,131,220,212,215,199,182,202,199,75,79,71,116,169,143,120,94,86,84,81,78,70,77,75,67,67,70,59,107,220,211,212,217,191,172,197,199
11,148,155,160,163,167,170,173,176,178,181,183,184,186,189,191,192,193,195,196,197,198,199,199,200,199,199,199,198,150,156,162,165,169,171,174,176,179,182,184,187,188,191,193,193,194,196,197,199,200,201,201,201,200,200,201,201,151,157,163,168,170,173,175,178,181,183,185,189,191,193,194,194,199,200,199,201,202,202,202,202,201,201,202,201,152,158,163,167,172,174,176,179,182,183,187,189,192,193,194,196,179,195,201,202,202,202,202,204,203,203,203,203,153,158,163,167,172,175,177,180,184,187,189,191,193,195,195,204,152,154,209,201,203,203,205,205,205,204,204,203,152,158,164,169,173,175,178,181,184,188,191,193,193,195,194,212,155,141,210,202,205,205,205,205,205,204,204,205,154,159,165,170,174,176,178,181,184,188,191,193,195,196,197,216,135,153,212,203,205,206,207,207,206,206,205,205,155,160,165,170,175,176,179,182,185,189,192,193,195,194,205,214,128,170,212,205,208,208,208,208,207,207,207,206,155,161,167,171,175,177,180,184,185,188,191,193,195,196,217,188,124,187,210,206,208,208,208,208,207,208,207,207,155,162,168,172,175,178,181,184,186,189,192,193,193,195,215,146,126,204,207,206,207,208,208,208,208,208,208,207,155,161,166,172,177,178,181,185,190,190,188,201,213,153,149,128,145,213,204,207,208,208,209,209,208,209,208,207,156,161,167,171,175,178,186,184,174,208,186,153,184,152,117,115,180,212,206,209,209,209,209,209,209,209,209,208,156,162,169,170,183,216,216,193,125,170,184,120,153,148,108,111,203,208,207,209,210,210,210,210,210,209,209,209,157,162,167,176,210,185,200,196,124,158,164,119,179,141,93,132,215,206,208,209,210,210,211,211,212,211,210,208,158,163,164,190,187,159,177,189,122,157,143,127,177,125,85,153,217,206,208,209,209,211,211,212,211,212,211,208,158,164,168,207,176,137,151,175,112,145,124,136,157,111,85,167,215,206,207,208,212,213,213,211,210,212,211,209,159,159,185,214,178,143,151,134,108,139,105,143,143,99,78,171,218,207,210,208,203,198,201,215,216,212,211,211,160,159,209,207,174,148,135,122,124,131,86,167,122,82,90,139,205,202,197,192,184,177,158,160,202,216,211,211,158,164,223,198,172,153,132,112,148,116,69,129,113,121,147,145,172,192,198,192,177,156,147,137,130,208,214,212,158,168,216,198,181,163,139,128,139,145,158,167,180,181,170,177,190,179,160,149,145,163,184,175,154,205,215,212,157,166,209,201,187,171,146,146,173,197,188,186,183,179,162,157,153,132,155,188,208,218,218,217,217,214,213,213,157,166,221,204,187,171,148,154,186,192,176,184,177,165,133,121,141,188,218,216,213,211,213,213,214,215,214,213,156,175,229,190,176,157,147,155,177,177,176,173,157,121,111,165,210,215,211,212,212,213,215,215,214,215,215,214,151,189,207,165,163,154,154,159,158,164,165,142,108,124,189,214,208,209,211,212,212,213,214,214,214,214,215,214,149,196,201,168,162,171,161,162,147,147,135,103,149,204,207,203,206,208,208,208,209,211,212,212,212,210,211,213,153,208,208,169,162,188,166,154,135,124,105,161,207,201,201,203,205,207,207,208,209,209,210,211,212,226,230,233,159,215,210,163,163,190,163,142,122,97,143,204,195,200,201,203,205,205,207,208,208,209,211,210,233,243,242,229,159,216,210,158,165,187,161,142,110,98,185,194,195,199,200,201,204,205,206,208,208,210,210,210,202,174,215,228
15,70,74,78,82,85,91,103,116,126,132,136,140,145,151,155,157,162,164,166,168,170,173,174,174,174,175,176,175,72,75,77,83,86,91,104,117,126,134,138,140,146,151,155,159,163,166,168,171,173,173,176,176,175,178,180,179,72,74,77,83,89,94,108,119,128,136,141,142,148,155,158,163,166,169,170,172,174,176,177,179,180,179,180,180,73,75,78,85,82,89,106,119,128,136,141,144,149,156,159,164,168,170,172,175,177,179,179,181,183,181,181,182,73,75,79,81,118,127,126,126,135,143,142,146,151,158,164,166,167,170,174,177,179,181,181,183,186,185,185,186,72,79,69,127,208,148,139,133,151,162,144,138,140,151,153,165,175,176,178,178,180,183,185,187,187,187,187,187,74,80,69,127,173,104,104,102,144,142,120,121,163,164,136,124,136,161,172,184,187,183,186,189,189,189,189,189,75,76,79,83,99,90,93,89,125,116,96,109,168,168,145,104,123,133,142,138,165,194,186,190,191,190,191,190,75,77,81,85,86,98,110,118,125,121,111,114,155,160,118,109,170,151,149,136,98,155,200,189,194,192,193,192,75,78,81,85,89,99,115,129,140,148,148,148,140,114,91,194,164,164,126,165,139,82,169,200,193,195,196,195,77,77,81,85,88,100,115,128,139,144,155,190,127,92,100,167,158,123,122,165,144,125,76,187,198,195,196,196,75,77,80,85,88,101,116,129,141,143,176,201,159,91,66,68,111,91,148,129,135,146,79,98,208,196,198,198,76,78,81,84,88,101,118,130,141,145,164,205,189,138,114,92,77,95,167,124,135,106,101,54,147,214,197,200,75,78,80,84,89,102,119,130,141,147,178,175,183,166,183,158,96,94,93,102,101,71,60,64,59,186,207,200,76,78,80,85,89,102,117,132,138,166,196,158,156,140,178,150,77,78,82,75,87,68,47,57,44,75,202,204,77,78,81,85,89,103,119,132,141,163,160,118,123,130,157,111,72,79,77,80,90,79,56,55,55,33,116,217,77,78,80,85,89,104,119,131,143,155,170,128,125,94,79,69,60,67,68,70,76,71,71,67,54,51,50,190,77,78,80,85,89,105,121,133,141,162,187,186,156,106,82,106,92,42,72,85,82,77,85,82,62,55,41,116,76,78,81,84,89,105,120,133,145,153,165,185,165,128,120,112,118,49,76,108,100,101,107,96,65,48,54,50,77,78,80,84,89,106,120,134,146,152,159,158,140,112,73,68,109,135,70,107,122,119,109,88,55,52,58,54,77,76,79,83,89,105,121,136,146,153,154,157,136,107,72,52,89,125,80,80,131,127,98,71,53,58,61,59,77,76,79,82,89,105,122,136,146,152,154,162,172,178,180,157,118,147,148,113,109,105,77,65,61,65,65,59,73,74,78,79,87,104,120,134,146,152,154,159,167,171,183,180,87,110,128,141,96,98,84,56,39,38,38,42,71,73,77,77,86,105,121,134,146,151,153,160,168,173,187,152,61,57,33,38,48,51,37,20,10,7,3,0,72,72,76,77,84,103,119,134,146,151,154,161,168,173,191,125,62,67,63,9,14,28,20,13,12,8,1,0,70,71,74,77,83,101,120,134,145,153,155,162,169,176,186,100,60,57,58,49,0,16,22,15,12,8,1,0,68,68,72,74,82,101,118,133,145,152,155,161,168,180,167,68,59,56,50,59,0,0,14,10,1,0,0,0,64,65,70,72,81,99,115,130,142,150,152,160,166,184,132,58,64,52,49,62,0,0,0,3,0,1,4,0
20,150,152,154,155,157,159,159,159,160,160,160,161,160,159,158,158,157,157,156,157,155,153,152,150,150,149,149,148,151,153,156,156,158,160,160,161,162,162,162,163,161,160,161,159,158,157,156,146,154,154,153,152,152,151,151,150,152,153,156,158,159,160,161,163,163,163,164,163,162,161,162,161,159,158,167,112,120,166,154,153,153,153,152,151,153,154,157,158,159,161,163,163,164,164,165,163,163,163,163,162,160,162,168,106,106,145,153,156,154,153,153,152,154,155,157,159,160,162,163,164,166,166,164,164,164,164,163,163,161,168,158,102,82,104,117,162,154,154,153,153,154,157,159,161,161,163,164,165,166,167,166,165,165,165,164,166,161,175,155,93,100,123,103,162,155,156,154,154,156,158,159,161,162,164,166,167,168,168,168,167,166,166,166,165,163,177,150,92,133,127,101,161,157,156,156,155,156,158,160,163,164,165,167,168,169,170,169,169,168,168,167,165,165,175,139,95,152,131,105,162,159,158,158,156,157,160,162,164,165,166,168,168,170,171,170,171,171,169,171,170,169,172,126,105,161,124,112,165,159,159,158,157,158,160,163,164,166,167,168,170,171,171,171,172,172,167,136,145,182,171,119,125,165,113,115,169,160,160,159,158,160,162,163,165,166,168,170,171,172,173,172,170,169,171,134,97,157,165,109,141,171,109,121,170,162,163,160,159,159,162,164,166,167,169,172,172,172,174,171,176,174,170,165,133,111,108,86,140,160,102,132,171,163,163,162,161,160,163,166,169,169,170,171,172,174,175,173,184,182,175,185,170,126,84,64,115,134,98,143,170,165,163,163,163,162,165,167,170,170,172,173,175,176,173,180,170,135,162,163,166,129,91,79,94,102,90,153,169,165,164,163,163,163,166,168,169,172,172,173,176,176,174,186,163,111,149,145,161,149,108,83,80,87,87,161,169,166,165,165,163,164,165,168,169,172,173,175,176,176,175,189,172,138,117,97,143,165,122,89,77,79,92,167,169,167,166,166,165,165,166,168,170,171,174,176,177,177,178,179,144,121,104,70,103,177,135,102,84,75,101,173,168,168,167,166,165,165,167,168,170,172,174,177,178,176,184,177,142,133,116,91,150,180,142,123,93,74,113,177,168,170,169,166,165,165,167,170,171,173,174,177,178,177,189,172,153,133,111,152,197,166,138,131,99,79,120,179,169,169,169,167,166,166,168,170,171,173,176,177,178,180,194,181,149,122,138,201,175,149,129,123,100,85,134,178,169,171,169,168,166,166,168,170,172,175,177,179,179,184,205,175,136,131,169,202,166,143,117,108,100,90,153,176,171,171,170,168,167,166,169,171,173,175,177,179,178,188,201,152,152,134,182,194,165,142,118,96,95,99,169,175,173,171,172,170,168,164,167,170,172,175,176,178,177,189,189,169,165,131,192,184,155,132,116,98,91,115,177,172,172,171,171,169,168,164,166,169,171,174,176,177,177,182,189,191,154,150,193,166,141,122,106,99,89,140,178,173,171,171,170,169,167,165,167,170,172,175,176,177,177,180,189,184,153,142,172,155,128,111,99,95,96,163,177,174,172,171,171,169,168,165,168,171,173,175,176,178,177,181,182,163,148,138,152,149,126,114,101,86,116,177,175,175,173,172,171,169,169,164,168,171,172,174,176,178,178,180,171,157,150,151,150,156,142,111,98,84,139,181,174,174,172,172,171,170,169,164,167,170,172,175,177,178,179,179,180,174,173,166,153,150,141,106,92,88,157,179,173,173,172,172,170,170,169
14,176,177,177,178,177,179,178,178,179,177,177,178,178,178,178,176,175,174,172,172,170,170,169,168,167,165,163,162,179,180,180,181,181,181,181,182,181,180,181,181,181,181,180,178,179,176,175,175,173,173,172,170,170,168,166,165,182,182,183,184,183,182,184,184,182,182,183,183,183,182,184,185,182,180,180,180,178,176,174,175,173,172,170,168,184,186,185,185,187,187,187,186,187,185,186,187,186,185,175,165,175,179,175,172,173,179,183,174,176,174,174,172,188,189,188,188,189,189,189,189,188,188,189,190,188,181,164,142,150,155,148,154,148,115,153,190,177,176,175,173,190,190,191,190,191,192,191,191,191,190,188,168,163,175,181,177,171,154,110,121,143,112,81,135,186,181,177,175,192,192,193,193,194,194,191,192,194,191,190,189,184,190,189,180,171,159,139,105,117,131,101,94,136,169,180,177,194,194,194,194,195,195,194,194,194,192,192,178,158,149,137,121,96,99,137,142,142,150,100,107,130,101,176,184,195,196,196,197,196,197,197,195,196,196,190,157,153,156,127,96,78,78,75,105,124,105,73,58,90,59,88,183,197,197,197,197,198,198,198,199,195,178,179,191,188,170,147,128,128,157,99,149,169,139,166,119,61,55,50,102,201,201,200,199,200,199,200,201,194,181,186,179,166,134,113,106,104,95,105,195,200,200,195,208,155,49,69,74,202,202,201,201,202,201,202,203,189,182,174,142,108,56,38,41,39,77,189,198,194,194,194,191,96,80,96,91,202,202,202,203,203,203,202,200,190,179,127,76,43,34,39,44,27,138,213,194,199,194,207,134,79,115,106,78,203,204,205,203,206,205,205,200,192,172,110,56,45,47,51,58,42,158,208,198,199,202,182,90,104,111,98,66,206,206,206,206,207,206,207,200,190,167,113,52,50,50,48,50,42,186,206,200,198,211,126,79,103,105,72,115,208,207,207,208,208,208,210,199,191,152,82,50,65,49,45,47,30,160,224,198,208,182,87,84,90,91,64,178,209,208,209,208,209,210,207,195,191,149,95,78,62,47,48,44,30,49,151,209,206,100,92,99,89,57,131,206,211,211,210,210,209,211,204,194,195,163,110,80,56,49,54,53,55,55,48,113,113,71,97,99,72,96,205,195,211,212,212,211,210,212,205,190,194,157,110,86,56,51,61,69,72,77,83,79,67,84,96,84,72,187,204,197,212,213,212,211,211,213,205,185,188,158,129,88,52,53,63,77,78,84,90,101,97,79,102,68,142,214,199,199,212,213,213,212,211,215,206,179,185,167,129,87,62,50,65,82,84,84,91,105,105,90,75,77,201,206,203,201,212,212,214,214,214,216,206,183,192,168,138,106,73,50,67,85,87,89,98,111,110,96,57,140,216,203,204,203,214,214,215,217,216,217,205,185,195,167,134,101,80,53,62,89,89,94,104,112,107,76,92,215,207,207,205,204,216,217,217,217,216,219,203,188,191,157,127,105,85,62,56,90,88,94,107,107,100,56,148,221,206,208,206,204,216,216,216,217,215,220,202,185,187,152,123,109,89,70,53,80,88,93,102,100,81,66,202,212,208,208,207,206,215,215,216,217,215,220,198,179,183,148,124,111,87,70,54,72,89,87,90,91,47,143,224,209,210,208,208,206,215,216,217,217,216,221,199,174,172,147,123,100,81,70,57,66,83,83,83,57,95,215,209,209,209,208,206,205,217,216,218,218,216,221,196,171,165,145,117,97,82,71,60,65,75,78,62,80,206,215,210,209,210,209,207,204
11,174,173,173,173,172,171,172,172,168,172,168,166,166,166,164,163,161,159,158,157,154,152,151,151,148,147,144,146,177,177,176,177,176,176,176,175,178,146,168,171,169,168,167,166,164,163,161,160,158,156,154,153,151,149,153,134,181,181,180,181,180,181,181,179,190,131,127,183,173,173,171,169,167,166,165,162,161,159,157,153,154,153,96,37,185,185,186,185,185,186,184,184,181,162,95,166,183,176,175,173,171,169,167,165,163,163,160,158,153,78,17,18,189,189,189,189,190,189,188,188,184,176,107,128,191,179,179,177,176,173,172,170,169,166,163,168,103,35,29,30,194,193,193,193,193,192,192,191,189,176,119,104,193,183,183,181,180,177,176,174,172,169,169,159,56,50,43,28,196,197,197,196,196,195,195,195,193,182,154,92,179,192,186,183,183,181,180,178,176,172,176,149,45,50,42,38,199,199,199,198,199,197,199,199,196,199,170,88,159,198,189,188,186,183,182,181,179,174,179,143,46,41,26,31,203,203,203,202,201,201,202,201,198,201,179,91,140,205,190,191,190,187,184,184,182,177,185,127,35,42,21,36,205,205,204,204,204,204,203,204,201,183,176,110,115,205,193,192,191,190,189,187,185,179,191,114,26,38,20,27,206,206,205,206,206,207,206,205,207,184,176,155,94,181,205,200,193,193,191,189,188,183,192,101,26,34,17,24,209,209,209,209,209,210,209,208,210,199,184,191,114,156,135,168,203,194,194,192,191,188,186,68,27,15,17,36,211,211,210,211,211,211,210,209,209,205,182,191,202,192,93,94,209,196,197,196,193,191,189,85,73,84,71,44,212,212,212,213,212,212,212,210,212,214,189,197,171,137,108,73,194,203,199,197,194,191,182,164,159,151,134,80,214,213,213,214,214,214,215,214,203,170,194,210,150,66,93,76,161,211,199,198,196,185,183,178,156,112,84,66,216,216,217,216,216,218,214,204,197,118,102,176,145,73,77,80,122,214,198,202,186,190,191,167,111,98,79,44,218,217,217,218,219,217,205,208,189,131,88,106,149,96,69,81,84,207,211,196,169,182,178,110,86,151,144,37,218,219,221,220,217,205,213,190,145,147,121,82,125,119,64,81,76,144,186,154,163,171,122,107,157,165,154,93,221,220,221,222,210,205,188,141,88,124,126,87,92,123,67,74,89,66,94,138,159,133,103,200,147,118,135,134,223,223,223,223,207,203,185,149,81,87,141,59,54,127,83,64,124,99,96,135,137,90,175,206,184,52,114,135,225,226,225,225,202,204,188,144,93,79,112,31,39,134,82,57,145,115,93,122,87,121,211,195,206,147,133,147,226,225,225,227,212,196,186,167,150,99,57,44,43,132,111,75,92,108,108,96,76,195,206,201,198,201,167,132,227,226,226,228,224,198,193,183,160,127,83,68,89,138,134,92,107,155,115,65,156,217,202,202,198,201,172,126,228,228,229,229,230,209,191,181,174,144,110,81,99,164,145,103,135,124,88,75,204,210,206,203,200,202,176,104,228,228,229,229,231,217,196,183,169,146,115,96,88,143,172,151,132,108,64,116,223,207,206,205,203,203,180,93,228,228,228,228,228,225,191,182,159,145,123,105,94,119,147,138,124,91,57,187,217,207,205,204,201,205,172,134,228,229,229,229,227,232,202,173,164,148,132,117,100,99,120,112,102,55,137,221,207,207,204,204,207,195,149,147,229,230,230,231,228,230,224,173,163,151,141,123,97,83,96,89,61,108,220,210,210,207,205,202,156,141,140,147
18,136,139,143,145,149,151,153,155,158,160,163,162,163,162,164,165,167,167,168,167,167,168,169,168,168,167,167,166,138,141,144,147,150,153,156,158,160,162,165,164,165,166,166,168,169,169,171,170,169,169,170,170,170,171,170,168,140,143,147,150,152,155,159,162,164,165,167,167,168,169,169,170,171,170,171,171,171,172,173,173,174,174,173,172,144,146,149,151,155,158,162,165,166,168,169,170,171,172,172,173,173,174,176,174,174,176,175,176,176,176,176,175,144,147,151,154,158,161,165,166,168,170,172,172,173,176,177,176,174,173,159,173,179,181,181,177,178,178,178,177,146,150,153,158,160,163,166,168,171,172,174,174,176,178,176,173,195,164,115,107,177,163,160,184,182,179,179,179,148,151,156,159,160,164,168,169,173,177,176,179,180,178,148,116,169,138,78,74,80,129,103,129,191,180,183,183,150,154,158,160,163,167,169,172,175,176,178,171,172,208,141,102,139,130,81,75,52,122,129,67,157,192,183,183,152,157,160,163,167,169,172,175,177,177,188,155,105,155,170,133,145,155,134,131,111,96,110,68,115,200,183,185,152,158,163,167,168,170,174,177,177,180,203,174,134,91,156,153,112,159,170,168,164,123,66,49,113,202,187,190,156,158,163,168,170,173,176,179,179,188,184,196,169,110,95,152,94,111,168,165,169,129,71,32,127,202,189,192,157,160,165,167,171,174,177,180,179,191,146,164,161,130,65,103,113,85,131,126,157,136,84,33,137,203,190,192,158,163,168,171,174,175,178,181,182,195,128,105,143,99,48,67,99,61,71,115,169,155,101,39,158,199,191,193,160,163,167,171,175,176,180,183,185,198,169,129,125,72,36,58,78,45,46,65,183,168,118,50,165,203,192,193,162,166,169,173,175,179,182,185,188,197,163,115,108,73,34,48,78,29,29,103,188,186,136,63,93,207,193,195,163,167,169,173,175,179,182,184,188,196,178,135,101,74,33,50,79,29,114,195,189,178,132,85,51,186,203,198,164,168,171,174,176,180,184,186,186,202,192,154,111,78,62,50,51,118,208,204,196,162,114,83,63,189,202,199,167,170,172,176,178,183,185,187,188,203,194,158,121,97,85,78,109,194,210,198,178,150,95,65,78,206,199,200,169,170,172,177,181,184,187,190,190,200,196,169,140,124,105,92,143,203,211,188,148,123,87,49,107,212,198,201,167,171,174,177,181,184,188,192,189,197,195,174,148,124,110,96,143,201,209,177,139,107,78,48,138,213,199,202,168,172,175,179,181,185,188,193,191,191,192,176,148,125,135,105,128,200,203,161,124,93,70,50,169,211,201,204,170,172,175,181,183,186,190,191,194,190,187,182,159,144,148,112,107,198,183,144,105,80,63,65,196,208,205,206,170,173,177,181,183,188,189,189,192,191,183,178,165,143,148,121,99,187,165,124,92,71,54,90,214,205,207,207,170,174,176,180,183,185,188,189,192,194,188,181,169,146,140,120,93,172,150,103,83,70,47,125,220,204,207,207,169,171,174,178,184,183,186,190,193,193,192,191,168,140,126,99,79,149,122,82,74,68,53,170,212,206,207,207,168,171,176,178,184,185,188,191,193,183,196,189,153,128,99,75,88,131,100,85,78,58,102,208,203,205,207,207,169,173,177,180,184,186,189,192,192,184,208,185,155,136,105,100,98,127,90,90,74,59,174,210,205,206,207,207,170,173,177,181,185,187,190,193,190,190,208,193,169,151,114,101,114,113,91,87,50,120,212,203,207,206,207,209
20,192,195,197,198,199,201,201,201,203,203,203,203,202,202,201,200,199,199,198,199,197,195,195,193,192,191,191,190,193,195,198,198,200,202,202,203,204,205,204,205,203,203,203,201,201,199,198,188,196,196,195,194,194,193,193,192,194,196,198,200,201,203,203,205,205,205,206,205,204,203,204,204,201,200,209,154,162,208,196,196,196,195,194,194,195,197,199,201,202,203,205,205,206,207,207,205,205,205,205,205,202,204,210,148,149,187,195,198,196,196,195,194,196,197,199,201,203,204,206,206,208,208,207,206,206,206,206,205,203,210,200,144,125,146,159,204,197,196,195,195,196,199,201,203,203,205,207,207,209,210,208,208,208,207,206,208,203,217,197,135,142,166,145,204,198,198,196,196,198,200,201,204,204,207,208,209,211,211,210,209,208,208,208,208,206,219,192,135,175,169,143,204,199,199,198,197,199,201,203,205,206,207,209,210,212,212,211,211,210,210,209,207,208,218,181,137,194,173,147,204,201,200,200,199,199,202,204,206,207,208,210,211,212,213,213,213,213,211,213,212,211,214,168,148,203,166,154,207,201,201,200,199,200,203,205,206,208,209,210,212,213,213,213,214,214,209,179,187,225,213,161,167,207,156,157,211,202,202,201,200,202,204,205,207,208,210,212,213,214,215,214,213,211,213,176,139,199,208,152,183,214,152,163,212,204,205,203,202,202,204,206,208,210,212,214,214,215,216,213,219,217,212,208,176,153,150,128,182,202,145,175,213,205,205,204,204,202,205,209,211,211,212,214,215,217,217,215,226,225,217,228,213,169,126,106,158,176,140,185,213,207,206,205,205,205,207,209,212,213,214,215,217,218,216,222,212,177,205,205,208,171,133,121,136,144,132,195,212,208,206,206,205,205,208,210,211,214,214,216,218,218,216,228,205,153,191,187,203,191,150,125,122,129,130,203,211,208,207,207,205,206,208,210,212,214,215,218,218,218,218,231,214,180,160,139,185,207,164,131,120,121,135,209,212,209,208,208,207,207,208,210,212,214,216,218,219,219,220,221,186,163,147,112,146,220,177,145,126,117,144,216,210,210,209,208,208,207,209,211,213,214,217,219,220,218,227,219,185,176,158,133,193,222,185,165,136,116,155,219,210,212,211,208,207,207,209,212,213,215,217,219,221,219,231,214,196,175,154,194,239,208,181,173,141,121,162,221,211,212,211,210,208,208,210,212,214,216,218,220,220,222,236,224,192,164,181,243,217,191,171,165,142,127,176,220,212,213,212,210,208,208,211,212,214,217,219,221,221,226,247,217,178,174,211,245,209,186,159,150,142,132,196,218,213,214,212,211,209,209,211,213,215,218,219,221,221,230,243,195,194,176,225,236,207,184,160,138,137,141,211,217,215,214,214,212,210,207,209,213,214,217,218,220,219,231,231,211,208,174,234,226,197,175,158,140,133,157,219,215,215,213,213,211,210,207,209,211,214,216,218,220,220,225,231,233,196,193,235,208,183,164,148,141,132,182,221,215,214,213,213,211,209,207,209,213,215,217,218,220,219,222,231,226,196,184,214,197,170,153,142,137,138,205,220,216,214,214,213,211,210,207,210,213,215,217,218,220,220,223,224,205,190,180,194,191,168,156,143,129,158,220,217,217,215,214,213,212,211,206,210,213,214,217,219,220,220,222,213,199,193,193,192,198,184,153,140,126,181,223,216,216,215,214,213,213,211,206,209,212,214,217,219,220,221,221,223,216,216,209,195,192,183,148,134,130,200,221,215,215,214,214,213,212,211
8,153,157,161,164,166,169,171,173,175,177,178,179,179,180,181,180,180,180,179,178,177,177,176,175,174,173,172,171,155,159,162,165,167,170,172,175,177,179,180,180,181,182,182,182,181,181,181,181,180,179,178,177,176,175,173,173,156,160,164,166,169,171,174,177,179,181,182,183,183,184,184,184,183,183,183,183,182,181,180,179,178,177,176,176,157,161,165,168,172,174,176,177,179,183,184,185,186,186,186,186,185,185,185,185,185,183,182,181,180,179,178,178,159,163,166,170,173,176,181,169,165,182,186,187,187,187,187,187,187,187,187,187,186,185,184,183,182,181,180,179,161,165,169,172,175,178,186,162,140,175,188,188,189,189,189,189,189,189,189,188,187,186,186,186,185,184,182,181,162,166,170,173,176,179,188,166,127,163,188,190,191,191,191,191,191,191,190,190,189,188,187,187,186,185,184,183,163,166,171,174,177,180,189,174,125,152,189,192,193,193,193,193,193,192,192,191,191,190,189,188,187,186,186,185,165,167,172,176,179,181,186,178,129,142,188,194,194,192,192,194,193,190,190,193,192,192,191,190,189,188,187,186,166,169,173,177,180,183,187,188,148,134,182,195,194,183,177,189,192,172,165,185,190,190,192,192,191,190,188,187,166,170,174,177,181,184,188,195,161,128,169,197,206,192,163,169,195,170,142,154,161,165,182,192,193,192,191,190,168,171,175,178,182,185,188,195,172,137,154,195,219,212,172,145,183,179,160,139,131,130,149,187,194,193,192,192,169,172,176,180,183,187,190,196,190,157,151,187,214,220,186,136,158,176,171,161,148,140,134,166,189,193,193,192,170,174,178,181,185,189,192,196,197,166,158,182,196,210,190,137,134,160,152,173,181,180,161,139,170,194,193,193,172,176,179,183,187,190,193,195,202,187,175,187,189,192,188,140,116,137,120,150,180,189,172,129,152,194,195,195,173,177,181,185,188,191,193,196,209,204,173,170,175,173,185,155,114,115,104,122,166,190,175,129,146,194,197,196,174,178,182,186,189,192,194,197,209,197,158,149,152,149,173,178,130,103,96,117,175,202,183,131,144,194,197,197,175,179,183,187,190,192,195,198,209,204,169,146,137,135,149,161,133,109,97,126,183,207,184,131,142,194,199,199,175,179,184,188,191,193,196,199,213,216,185,152,135,131,133,157,158,133,125,159,191,204,175,125,133,192,200,200,176,180,185,189,192,193,196,200,217,219,192,161,135,123,134,174,188,177,179,191,188,182,152,113,125,190,201,201,178,182,186,190,193,195,198,201,219,220,198,174,148,126,135,177,205,215,211,196,174,152,127,103,137,194,201,201,178,182,187,190,194,197,199,202,220,221,202,183,162,135,136,178,217,226,216,192,160,127,105,106,167,200,202,201,179,183,187,191,195,198,200,203,219,222,207,189,173,148,146,186,222,221,203,178,145,109,92,134,193,203,203,202,178,182,187,191,194,197,200,203,215,224,213,197,183,159,154,194,217,206,183,157,126,96,103,172,203,205,203,202,178,182,186,189,193,196,200,202,211,223,217,202,187,165,156,192,206,189,165,137,110,92,137,195,204,204,203,201,178,182,186,190,193,197,200,202,209,224,218,201,182,158,153,183,187,172,153,125,98,107,176,204,205,203,203,202,179,183,187,191,194,197,200,202,210,225,214,193,169,147,151,173,167,153,140,114,96,146,200,206,206,205,204,203,180,184,188,192,194,197,200,201,211,225,209,187,160,147,154,167,156,140,129,104,113,182,206,206,206,205,205,203
7,141,153,161,167,172,174,176,177,180,183,184,185,185,187,187,188,187,187,186,186,185,182,181,180,178,177,176,174,142,154,162,168,173,176,176,178,182,185,186,187,187,188,189,189,188,188,188,187,186,185,183,181,180,180,178,175,144,155,163,169,174,176,178,180,183,186,186,188,189,190,191,191,190,190,189,189,187,186,184,183,182,181,180,178,145,156,165,170,175,177,180,182,185,186,187,190,192,192,193,192,192,192,192,191,189,188,187,187,185,183,182,180,146,156,165,171,175,179,181,184,187,187,189,191,192,193,193,194,194,193,193,193,191,189,189,188,186,185,184,181,148,157,166,172,177,180,181,185,188,189,191,193,193,194,195,195,196,195,194,194,193,192,191,190,189,186,184,183,148,158,166,173,179,181,182,185,189,190,192,193,194,196,196,199,199,199,198,197,196,195,193,192,191,188,186,185,148,158,167,173,179,182,184,188,191,193,195,194,192,191,188,180,172,170,168,170,158,147,161,165,175,190,187,186,149,159,168,173,179,184,182,170,162,157,156,155,149,136,129,135,110,114,121,120,117,117,158,156,143,192,189,187,150,160,168,173,179,181,164,134,120,128,129,134,134,126,119,109,105,104,107,102,109,106,115,111,143,188,191,189,152,160,169,173,177,171,154,122,104,109,111,114,117,119,121,122,122,107,108,117,111,107,101,96,111,132,160,191,152,161,168,169,165,155,147,131,116,111,118,128,133,135,134,130,122,97,97,116,106,97,96,89,103,120,119,188,157,167,165,162,155,154,149,136,129,130,135,142,133,129,126,121,103,89,90,94,87,83,82,80,84,98,138,192,173,168,164,162,160,158,143,116,99,107,118,119,109,105,101,95,89,102,117,134,143,153,158,163,167,175,191,193,175,170,169,166,157,140,133,98,83,96,93,78,98,141,155,173,185,196,203,207,207,205,204,203,201,198,195,194,173,171,168,154,137,133,122,95,83,73,63,56,71,103,109,155,211,207,204,203,203,202,202,200,198,197,195,193,174,171,157,141,130,123,125,123,100,72,68,72,70,64,57,62,191,208,206,205,204,203,202,201,200,197,196,194,170,156,136,129,126,126,134,138,108,74,70,73,74,71,65,68,192,209,206,205,206,204,203,202,202,200,198,195,149,135,125,123,119,114,118,113,85,67,61,60,67,67,62,60,182,210,206,206,206,205,203,203,201,200,198,195,133,127,122,120,115,103,99,91,76,58,51,62,71,70,61,71,182,211,206,207,206,205,203,202,201,200,197,195,128,120,115,108,99,88,86,91,87,69,69,77,76,65,82,186,210,208,208,207,206,205,203,202,202,200,199,196,116,106,101,97,95,94,101,108,93,74,69,68,75,97,179,211,208,207,207,207,206,204,202,201,201,200,199,196,111,108,105,100,96,95,98,95,76,72,117,153,181,201,206,205,206,205,205,205,203,202,201,200,199,198,196,195,104,104,102,95,88,85,82,81,106,168,201,205,205,204,204,205,206,205,205,204,203,203,201,201,200,198,196,193,75,76,91,90,91,99,129,168,193,199,198,200,202,203,204,206,206,206,205,204,203,202,201,201,199,197,196,193,32,37,155,161,170,181,189,192,194,196,198,201,202,202,203,204,204,204,204,204,204,202,201,200,197,195,194,192,11,51,168,173,180,183,184,189,192,195,197,200,202,204,204,204,204,203,204,204,204,203,201,200,198,196,195,192,2,81,186,177,177,178,179,180,181,181,179,179,181,181,181,177,175,175,173,169,166,164,161,158,155,150,143,115
12,70,74,79,87,100,113,121,127,133,137,139,142,144,146,150,152,156,158,159,160,161,164,165,165,166,166,166,167,71,75,81,87,102,115,122,128,134,138,140,143,145,148,151,153,156,159,160,161,164,165,166,166,167,167,168,168,72,76,82,89,103,115,124,131,135,138,141,144,147,150,152,156,157,161,155,160,165,166,167,168,168,170,170,170,73,78,84,91,106,117,125,131,136,139,143,145,148,161,134,131,162,168,125,117,163,164,167,170,170,173,172,172,73,78,85,93,108,118,126,131,136,142,145,145,169,179,142,112,147,168,132,95,118,126,118,161,172,173,173,173,74,79,86,94,109,121,127,134,139,144,146,146,191,190,152,125,129,169,145,115,88,121,102,115,172,175,175,175,74,80,88,95,112,122,128,135,140,144,147,150,199,207,169,130,122,177,145,116,77,116,111,84,161,176,176,176,75,82,89,98,114,123,130,136,141,144,147,154,180,194,178,129,113,182,143,109,74,114,107,83,163,177,179,178,77,83,90,99,115,124,132,137,141,143,153,161,170,155,158,115,93,154,130,98,74,115,102,91,172,180,180,180,77,83,90,101,116,123,131,137,144,184,197,140,107,100,137,101,77,126,105,86,77,109,96,107,181,181,181,181,78,84,90,103,118,125,132,136,170,211,175,127,102,74,122,109,73,112,105,86,79,103,93,116,182,182,182,182,79,85,91,105,117,125,134,138,190,167,157,134,111,79,106,125,77,108,129,97,92,132,107,124,182,183,183,184,80,85,92,106,119,126,133,144,191,154,139,143,118,92,56,77,54,80,113,93,97,140,112,83,147,185,185,185,79,86,93,108,120,127,133,152,191,154,125,138,111,94,49,45,68,100,105,102,126,114,91,84,103,185,186,186,81,87,94,109,121,127,134,155,202,165,133,113,98,83,47,62,111,148,155,150,140,118,109,98,112,186,187,187,82,87,96,112,122,129,136,161,202,169,145,111,86,86,74,104,153,174,173,157,138,114,103,94,143,186,187,187,83,88,96,113,123,130,136,165,198,174,149,118,105,122,118,159,180,183,175,150,127,110,94,92,171,187,188,188,84,89,97,114,122,131,138,159,191,169,145,123,118,126,126,177,181,182,171,138,118,105,91,117,186,187,189,189,83,90,98,115,122,131,139,151,188,164,143,129,122,120,137,170,174,177,156,128,110,99,91,158,188,188,189,189,83,90,100,116,123,132,140,146,184,161,149,140,129,130,152,168,173,164,140,120,103,93,106,183,190,189,189,190,85,90,101,117,125,134,139,145,173,164,158,152,140,132,150,160,159,142,121,108,97,91,143,188,190,190,192,192,85,91,103,118,126,133,139,144,161,172,158,146,133,122,128,143,141,125,108,99,94,105,179,189,190,190,193,193,86,91,104,117,124,133,139,146,154,181,153,140,126,115,115,123,118,110,99,96,92,148,188,190,191,192,193,193,86,91,106,119,125,134,140,146,151,186,165,140,119,111,118,116,116,110,97,93,108,182,188,190,192,193,193,193,86,92,107,119,126,135,141,147,152,187,179,146,132,129,130,115,116,109,93,84,144,187,189,192,194,194,194,195,87,93,107,119,127,134,142,147,165,195,192,156,144,136,131,112,107,98,88,74,156,189,191,192,194,194,195,195,87,93,108,120,128,136,143,162,193,182,203,165,152,137,128,109,99,89,85,72,160,190,190,193,194,194,196,196,87,94,110,120,129,137,144,196,202,163,183,162,152,133,123,105,90,87,83,74,168,190,191,193,194,195,196,196
22,141,146,149,153,156,159,163,167,169,172,176,175,175,178,179,181,182,182,180,181,182,182,184,184,184,183,184,183,145,149,152,156,159,163,168,170,173,176,178,178,184,183,184,185,184,189,185,186,187,186,188,188,187,187,187,187,148,154,156,159,163,166,170,173,177,179,182,183,146,182,188,189,184,148,189,187,183,192,192,193,191,191,191,189,150,155,159,162,165,169,172,178,180,182,188,178,100,170,196,195,196,97,178,202,151,148,202,193,194,194,195,194,152,157,161,164,169,172,176,181,184,183,198,170,85,174,196,206,193,103,183,212,152,111,206,196,197,197,197,197,155,160,164,168,171,175,179,184,186,186,203,166,80,177,197,215,189,112,191,211,150,108,204,199,200,201,201,201,158,163,167,171,173,178,182,185,190,188,206,179,85,177,202,215,175,116,197,215,159,116,206,203,203,202,204,203,160,165,169,173,176,181,185,189,195,190,208,194,87,169,208,213,157,113,201,214,156,123,211,206,206,205,205,204,163,168,171,176,180,184,188,192,197,193,214,196,86,166,213,200,141,117,205,214,155,123,216,208,209,209,209,208,164,170,173,177,183,185,189,194,199,196,216,209,98,157,226,177,134,116,212,216,156,129,219,209,210,210,210,211,165,171,175,178,183,186,191,194,200,200,211,221,152,133,141,161,147,118,218,221,147,139,223,209,212,213,212,213,168,173,177,182,185,189,193,197,200,202,209,210,180,149,123,128,142,136,224,214,136,152,227,212,215,216,216,215,170,174,179,183,186,191,195,200,204,202,218,239,200,193,192,170,110,146,221,206,126,169,227,215,216,216,217,217,171,176,181,184,188,192,196,201,204,209,212,197,202,149,209,189,122,95,177,171,112,188,225,217,217,218,219,219,174,179,183,187,192,194,199,203,205,212,204,173,186,86,128,199,160,95,96,123,94,201,224,218,217,219,220,219,174,180,184,189,193,195,199,205,206,217,220,171,172,120,45,160,202,142,86,83,97,217,223,221,221,221,222,221,176,181,185,189,193,199,203,206,207,225,212,158,150,131,70,100,223,183,120,77,99,225,224,223,223,224,223,223,177,182,186,190,193,198,203,208,207,231,221,168,121,102,89,169,231,193,145,102,100,227,224,225,225,226,224,224,178,183,187,190,195,199,202,207,209,238,215,160,123,129,134,237,224,175,142,106,99,232,225,225,226,225,225,225,179,185,189,192,196,201,204,209,212,231,208,162,153,133,179,235,205,162,121,86,120,236,224,227,227,228,228,227,180,186,190,194,198,202,207,210,212,228,204,159,157,129,202,234,185,148,115,77,149,241,226,230,229,232,232,232,180,185,191,195,198,203,207,210,211,222,202,158,168,140,216,233,173,135,106,78,158,243,229,233,234,234,233,233,180,185,191,193,197,203,207,211,213,214,202,167,185,144,207,215,166,129,101,72,173,243,230,233,233,234,234,234,180,185,190,194,198,201,207,211,215,210,202,174,187,147,196,193,151,121,95,73,193,239,230,233,233,233,235,234,182,186,191,195,199,202,207,211,214,214,208,178,174,138,175,173,133,119,92,84,213,233,232,233,233,233,234,233,182,187,191,196,200,204,207,213,213,213,209,173,145,125,166,148,129,123,86,125,235,230,232,233,234,234,233,233,181,187,191,196,200,204,208,212,209,216,212,178,150,146,174,132,141,109,78,197,239,232,233,233,234,234,234,232,182,186,191,195,200,204,208,212,206,220,220,191,174,155,170,127,144,80,130,238,230,233,234,234,234,234,234,234
21,145,148,152,155,158,160,162,163,165,166,166,168,168,168,169,167,167,166,166,165,165,164,163,163,161,159,159,158,145,149,153,157,158,161,163,165,166,167,168,169,171,171,170,167,168,168,168,166,166,165,164,163,163,161,160,159,147,150,153,157,159,163,164,165,167,168,170,172,173,172,175,145,143,171,170,169,168,167,166,164,164,163,162,161,148,151,155,158,161,164,165,166,168,171,173,173,174,175,184,130,111,171,172,170,169,168,167,166,166,164,163,162,148,152,157,160,162,165,168,169,170,173,174,174,173,177,183,129,116,172,173,172,170,167,165,169,168,166,166,165,150,153,157,162,163,166,168,171,172,173,175,175,174,182,182,127,119,174,174,173,169,146,126,166,169,168,167,166,152,155,159,163,165,167,170,172,173,174,175,177,177,186,181,128,125,176,175,173,165,132,103,162,171,169,168,167,152,156,160,164,167,170,172,173,174,175,177,178,179,188,178,129,127,177,176,173,161,125,113,170,172,171,170,168,152,155,160,164,167,170,172,174,176,178,178,179,179,191,175,127,124,179,177,172,155,116,132,175,174,173,171,169,152,157,161,165,168,171,173,174,177,179,179,180,180,196,176,125,122,179,177,169,149,111,155,176,175,173,172,171,154,158,163,168,170,172,174,176,178,180,181,182,182,202,175,120,131,181,172,163,134,115,172,177,175,174,174,172,156,160,164,167,170,173,175,177,179,180,178,176,183,197,160,110,141,181,169,158,114,130,178,178,176,175,175,174,156,161,164,167,171,174,176,178,179,183,165,140,155,172,132,97,144,179,173,147,106,157,181,179,177,176,175,175,156,162,165,169,172,174,177,179,180,185,163,124,114,108,98,90,149,175,168,128,116,177,181,180,179,178,177,175,157,162,165,169,173,175,178,180,185,184,176,158,136,100,82,99,136,152,146,108,141,185,182,181,180,179,178,177,159,163,167,170,174,177,180,181,194,198,192,198,167,122,83,91,107,120,115,102,167,185,182,182,182,181,180,179,159,163,167,172,174,178,180,186,182,182,187,195,162,114,88,83,93,99,96,118,183,186,184,184,183,182,181,180,160,164,168,172,176,179,180,192,163,152,168,153,153,122,96,84,81,89,88,142,190,187,186,185,184,183,181,181,160,164,169,173,177,180,181,197,177,148,126,106,155,142,107,89,80,83,88,159,191,188,187,186,185,184,183,183,161,165,170,174,177,180,184,197,168,130,107,92,143,156,123,98,86,83,85,160,192,188,187,187,186,185,183,183,161,165,170,175,178,180,188,198,164,145,135,118,166,173,140,118,94,87,86,159,193,189,188,188,187,187,185,183,161,166,171,175,179,180,194,201,173,158,136,155,208,180,144,130,101,90,91,164,194,191,189,189,188,187,186,185,161,166,171,176,180,181,196,205,187,155,145,198,206,170,139,128,106,94,96,169,195,192,191,189,189,188,187,186,162,167,172,177,180,181,197,212,188,152,158,208,195,165,135,120,108,96,104,179,195,193,192,191,190,189,188,187,161,166,172,176,179,181,196,204,171,163,161,206,191,167,147,114,102,97,114,187,194,192,192,192,190,189,188,188,159,165,171,174,177,180,190,190,170,179,158,203,189,161,145,116,100,97,127,191,193,193,192,191,189,188,187,187,160,165,171,175,178,180,186,185,192,187,161,198,178,149,129,111,101,98,138,193,194,193,192,191,190,188,188,187,160,166,172,176,178,181,184,187,195,179,155,186,166,137,114,103,99,96,150,195,194,194,193,191,190,188,189,187
15,67,75,84,89,90,93,98,103,108,111,113,117,119,122,125,127,130,132,135,137,139,140,141,142,143,144,145,145,68,76,84,89,91,92,98,105,109,112,115,118,120,123,126,129,130,134,136,137,139,140,142,142,143,145,146,146,70,77,84,89,91,93,99,104,109,113,116,118,121,124,127,129,131,134,136,139,140,142,143,143,145,147,147,147,70,78,86,89,92,96,101,105,109,115,118,120,122,125,128,129,133,136,137,140,142,143,144,146,147,147,148,148,71,79,86,91,91,95,100,104,109,113,117,120,124,127,130,132,135,136,138,140,141,143,145,146,147,148,149,150,71,77,94,116,98,96,103,102,108,114,115,114,113,117,120,128,134,137,140,142,145,146,145,146,148,149,150,151,73,79,97,116,94,89,96,100,113,118,121,125,128,122,114,114,115,122,131,129,131,140,151,148,146,150,150,151,75,81,91,87,68,72,80,86,103,114,118,134,140,128,126,124,129,129,125,131,115,103,115,146,152,148,152,152,74,83,90,92,93,96,93,91,94,102,104,120,139,142,139,137,138,145,138,128,139,122,85,78,138,156,151,152,76,84,89,92,95,101,108,113,116,117,116,112,108,119,137,155,139,117,142,118,125,143,86,77,71,140,157,152,75,84,90,93,94,99,105,110,115,117,125,126,93,79,84,103,129,109,110,106,124,152,76,86,99,76,147,154,75,84,89,92,95,100,105,110,114,113,145,124,87,78,80,93,119,112,80,80,110,128,83,81,121,82,83,161,76,84,89,92,95,101,106,110,115,113,157,126,73,81,97,115,127,111,87,85,84,81,85,94,106,87,48,115,76,85,90,91,95,101,106,111,114,121,151,159,106,95,107,116,119,102,88,89,89,86,85,98,108,86,51,51,76,85,90,92,96,101,106,112,110,141,157,154,156,127,85,73,82,78,74,77,85,92,99,106,111,95,60,47,77,86,91,92,95,102,107,113,115,139,162,150,147,151,126,71,30,41,36,41,58,82,105,104,98,88,61,55,78,86,91,93,96,101,106,113,116,124,155,160,136,133,153,126,35,23,22,26,28,49,92,98,90,80,67,64,76,85,90,92,95,101,106,112,114,120,147,150,146,123,145,101,42,27,23,32,25,46,96,106,104,97,88,75,76,83,88,90,94,98,103,109,111,132,159,145,130,122,120,72,41,28,26,34,31,42,86,105,108,105,98,85,56,59,63,64,66,68,69,73,76,84,139,162,143,109,107,102,45,28,33,33,43,49,62,88,98,100,97,86,56,58,59,58,60,61,61,59,59,58,80,112,120,117,106,100,65,36,34,34,42,52,54,71,85,90,90,83,61,61,62,63,64,65,66,66,65,70,68,68,71,77,71,69,69,42,36,31,37,52,57,63,85,90,86,77,61,61,61,63,63,65,66,66,66,68,70,70,70,69,78,78,85,66,57,54,55,62,62,60,81,87,81,73,62,62,63,64,63,64,65,65,66,67,68,68,68,68,69,88,103,101,108,98,84,99,99,88,88,91,78,69,61,62,63,65,64,64,66,66,66,68,69,68,68,69,70,66,71,102,119,105,121,132,131,128,112,104,90,68,60,61,61,63,63,65,66,66,67,67,70,70,69,69,70,72,68,73,81,98,129,143,135,130,116,98,85,74,61,61,62,63,63,65,65,65,66,67,69,70,69,69,69,71,71,70,69,74,87,99,118,104,92,83,80,91,60,61,61,63,63,65,66,65,66,67,67,67,68,68,68,70,71,71,72,70,68,68,93,82,89,101,99,86
1,143,145,148,150,151,153,154,154,153,154,155,156,156,156,156,156,157,157,158,157,157,157,158,156,155,155,155,155,147,149,151,154,155,155,156,157,157,158,159,159,159,159,159,159,162,159,147,159,160,160,160,159,159,158,159,158,151,152,155,158,158,159,159,160,161,162,163,163,163,165,142,154,173,164,109,154,164,164,162,162,162,161,160,159,154,156,160,161,162,162,163,164,164,164,165,165,172,177,117,142,178,155,99,155,159,164,166,165,164,163,162,161,158,160,164,165,166,167,167,167,168,168,168,166,181,172,109,148,179,140,104,161,137,132,170,168,167,166,165,165,162,164,168,169,171,171,171,171,172,173,165,141,174,160,109,160,180,128,113,170,138,106,171,171,170,169,168,167,165,167,171,172,173,174,175,175,175,183,163,118,153,150,114,170,185,131,130,180,139,104,171,174,173,173,172,171,168,171,173,174,175,178,179,179,179,189,155,113,147,147,121,172,177,128,141,184,133,107,175,177,176,175,174,174,171,173,175,177,179,182,181,180,181,189,145,115,140,133,115,161,162,120,153,187,132,114,180,180,179,178,177,176,174,176,178,180,182,183,184,182,184,194,146,122,136,132,101,167,160,117,169,184,131,123,186,184,182,182,181,180,176,179,180,183,184,185,186,186,188,195,139,115,137,144,103,176,164,123,179,174,125,134,188,186,187,186,184,183,179,181,182,185,186,188,187,187,191,201,152,110,126,133,97,166,147,127,189,179,123,148,191,188,188,187,187,186,181,183,186,187,189,190,190,189,193,201,149,103,122,124,101,152,132,136,188,174,119,163,194,192,191,189,188,188,182,185,188,190,192,192,193,191,198,203,160,130,145,168,165,175,169,136,152,163,115,175,196,194,193,192,191,190,184,186,189,191,194,194,195,194,205,203,165,135,116,146,177,181,184,156,115,130,112,186,197,196,195,194,193,193,187,188,191,193,194,196,196,196,211,192,153,122,100,99,126,144,192,189,133,87,110,195,199,198,198,196,195,194,187,190,193,195,196,197,198,199,216,193,152,115,104,108,120,146,198,209,168,93,123,202,200,199,199,198,197,196,190,193,195,197,198,199,200,203,218,191,147,119,117,122,150,181,181,201,177,115,132,204,202,201,200,200,200,199,192,195,197,198,199,201,201,206,217,187,149,120,127,131,177,203,188,172,151,117,111,199,203,203,202,200,201,201,194,196,198,198,199,200,202,210,215,189,154,132,134,148,201,208,185,159,124,100,113,202,205,204,204,203,203,202,196,197,199,200,201,203,205,210,214,189,156,141,132,164,213,211,175,146,111,85,128,207,208,206,206,205,205,204,198,199,200,202,203,204,205,208,211,188,161,149,135,162,213,205,164,134,102,85,160,211,209,208,207,207,206,205,198,199,201,203,204,205,206,206,206,189,168,158,139,158,209,186,151,120,93,107,200,211,209,208,208,207,207,207,197,200,202,204,204,205,207,207,205,191,171,160,136,162,199,173,144,108,85,146,212,212,211,209,209,209,210,209,199,201,204,206,206,207,209,208,211,194,174,157,130,163,181,157,133,98,90,185,215,213,212,210,210,211,211,209,199,201,204,207,208,208,208,207,214,199,180,153,132,160,157,139,119,88,118,209,215,214,214,213,213,212,212,211,199,201,203,206,207,208,204,210,214,210,189,156,141,157,145,132,109,92,169,216,216,215,215,215,215,214,213,212,198,201,203,204,205,205,202,210,207,201,185,156,148,147,137,119,93,124,209,216,216,215,216,216,215,214,214,213
10,160,162,164,166,166,168,170,170,172,172,172,173,174,176,179,179,177,178,178,178,178,180,179,178,177,178,179,179,163,165,167,170,170,171,173,174,174,175,175,176,178,179,180,177,179,180,181,181,181,181,181,181,179,179,179,180,167,169,172,173,175,177,177,178,178,179,179,181,181,180,201,157,159,186,182,184,184,184,184,183,182,181,181,180,171,174,177,177,179,180,180,182,182,182,184,184,184,184,212,157,140,193,185,186,186,187,187,186,185,184,184,183,175,177,180,181,183,184,184,186,185,185,188,188,187,188,216,164,134,193,188,190,191,190,188,187,188,187,186,186,179,181,184,186,187,187,188,189,192,190,190,190,190,191,219,175,135,194,193,192,192,192,191,191,191,190,188,187,183,184,188,191,190,189,191,196,188,196,198,197,195,195,222,185,138,195,198,196,195,195,194,193,193,192,191,190,186,187,191,193,192,193,195,205,154,134,186,180,194,200,224,195,137,191,202,200,199,200,198,197,195,195,195,194,189,191,194,195,197,198,200,185,125,89,115,121,150,208,222,199,134,187,206,202,203,202,201,200,199,198,198,196,191,194,196,198,200,200,202,203,140,95,111,109,118,210,234,207,133,189,210,204,206,206,205,203,202,201,200,198,193,197,200,201,202,203,203,210,191,134,170,129,104,198,211,191,131,193,212,208,208,209,208,207,206,204,203,202,196,200,203,205,205,204,209,220,191,122,210,177,120,144,138,151,126,194,216,212,212,212,211,209,209,207,206,205,199,202,205,206,209,205,206,231,198,95,176,203,147,101,104,125,119,196,218,213,214,214,213,212,211,210,208,207,201,204,208,208,217,227,213,229,209,118,114,218,177,122,107,130,112,195,219,215,217,217,216,215,213,212,212,211,204,207,209,210,215,236,210,217,213,154,83,192,210,150,113,124,110,199,223,218,219,218,217,217,216,215,214,213,205,209,211,213,212,204,186,172,245,202,96,127,221,178,128,110,109,194,226,218,220,220,220,220,219,219,215,214,208,211,213,215,216,207,183,152,212,169,87,108,193,192,158,112,104,198,229,222,222,222,222,221,220,219,218,217,211,213,214,215,218,222,181,171,159,96,105,151,178,191,161,114,100,202,230,224,224,225,225,224,221,219,219,220,212,214,216,218,219,231,211,175,153,126,188,228,196,171,150,115,105,210,230,226,225,225,225,224,223,222,221,221,214,216,218,220,221,239,214,193,193,180,237,238,202,159,141,116,123,228,226,227,228,226,226,224,224,224,223,222,216,218,218,220,222,234,225,212,205,194,242,226,193,158,134,112,142,237,227,228,228,227,227,226,225,225,225,223,216,219,220,223,223,231,227,206,204,199,236,213,183,153,131,108,148,239,229,230,230,230,228,227,226,226,226,225,218,220,222,225,224,226,228,218,218,195,219,206,174,147,126,106,154,241,229,232,232,231,230,230,230,227,226,225,219,222,222,224,226,223,222,223,217,189,215,205,168,141,125,109,164,241,231,233,233,233,231,230,230,229,227,227,220,223,224,224,227,226,222,219,204,178,202,199,167,144,129,111,190,240,232,233,233,231,232,232,231,230,230,229,220,223,224,224,226,225,231,211,185,179,199,180,177,162,126,123,226,238,235,236,235,233,234,233,233,232,231,230,221,222,224,226,227,223,237,224,206,198,194,185,192,171,113,158,242,236,238,237,237,237,236,235,234,234,233,231,218,220,223,225,225,215,235,230,216,204,186,189,184,157,108,205,242,236,237,237,237,235,237,237,235,234,233,232
14,143,145,147,150,153,156,158,160,160,160,162,165,166,166,168,169,168,168,168,169,169,170,170,170,170,169,169,169,142,146,148,151,155,157,159,159,161,162,165,166,168,167,170,171,169,171,171,171,173,173,172,171,171,170,172,171,143,146,149,152,155,157,159,161,163,164,165,167,168,168,169,174,176,173,173,172,173,174,174,173,173,173,173,172,144,147,149,153,156,158,161,163,163,165,172,169,173,169,157,148,154,168,174,177,177,175,175,175,175,175,174,174,146,151,153,156,158,160,162,164,160,184,192,179,167,151,140,141,135,136,131,133,169,178,174,175,175,175,174,175,147,151,155,158,160,162,164,159,178,210,175,144,129,108,87,107,122,114,93,91,106,182,177,177,177,177,176,176,149,152,154,157,161,162,164,161,217,194,137,98,84,76,76,73,85,89,88,98,82,136,188,178,179,181,179,176,149,152,154,159,161,163,158,190,224,160,118,98,68,64,70,57,64,83,100,98,84,89,126,137,144,183,178,179,152,154,157,160,163,164,160,221,191,128,101,77,63,73,69,59,61,74,103,104,72,95,78,104,119,183,179,181,152,155,157,160,165,158,185,228,163,115,94,64,55,64,61,71,64,154,183,177,149,101,98,107,127,188,180,181,153,156,159,161,165,161,223,214,155,113,99,89,67,46,60,67,97,187,183,182,193,125,127,108,126,191,180,181,152,157,163,166,157,191,238,202,154,111,98,89,72,63,63,67,158,187,181,185,181,121,136,111,102,186,181,181,153,158,163,167,154,205,234,199,151,106,94,83,67,71,65,104,192,181,183,185,180,114,134,119,85,161,190,182,155,160,163,168,153,200,238,199,158,119,90,74,62,68,58,134,192,182,184,188,178,111,126,120,91,143,192,182,156,161,164,170,154,203,238,199,161,130,100,75,65,66,52,147,196,185,184,190,166,126,142,127,98,156,191,182,156,162,165,171,153,210,236,202,167,132,105,86,61,63,53,118,186,186,189,198,151,130,147,130,105,173,191,184,157,162,164,172,154,212,238,207,168,140,115,100,68,66,75,75,95,111,138,171,123,131,143,126,114,183,190,188,159,162,165,173,153,212,235,205,171,145,124,111,82,65,81,83,87,97,107,109,110,136,142,119,121,192,188,188,160,164,168,173,156,210,229,203,174,150,127,111,92,65,82,91,106,116,124,126,107,113,137,114,135,196,188,189,160,166,169,172,156,212,227,205,174,151,125,108,100,74,88,103,118,124,124,125,112,102,119,107,155,197,189,191,162,167,170,173,154,210,220,198,170,146,120,107,102,86,92,106,119,123,123,123,114,109,116,101,172,196,190,191,163,168,170,175,159,204,212,190,167,144,123,114,105,96,100,110,117,121,119,117,115,116,106,132,192,191,190,191,163,166,172,174,165,208,213,191,169,146,132,122,110,101,107,114,116,121,116,113,118,111,143,190,194,194,193,191,164,168,172,175,167,216,216,192,173,147,131,118,111,106,105,114,117,119,115,120,110,153,199,194,194,195,193,194,164,169,173,177,164,218,216,196,176,148,125,111,112,113,108,115,119,121,121,109,134,196,194,194,195,195,192,194,166,171,173,175,166,220,209,191,171,141,118,112,116,115,113,119,123,123,111,132,192,195,195,195,196,195,193,195,167,172,174,176,169,218,206,191,174,145,116,114,116,112,110,117,123,113,141,196,196,196,196,196,196,196,195,194,169,172,174,176,175,213,207,194,183,157,116,110,111,111,111,115,113,137,195,198,197,196,197,196,196,196,196,196
0,166,167,168,167,168,169,170,170,171,170,169,168,169,169,169,169,169,168,169,170,169,169,170,170,168,168,169,168,167,168,169,168,169,170,171,170,171,170,170,170,171,171,169,170,172,174,170,172,171,170,171,171,170,171,170,170,169,169,170,170,170,170,171,171,171,171,171,170,170,172,181,165,135,150,176,164,168,175,172,172,171,170,172,172,169,170,170,171,172,171,170,172,172,171,174,172,145,143,186,159,133,111,117,130,123,158,164,132,167,174,173,172,170,171,171,172,173,172,172,173,173,175,194,180,148,116,157,166,148,129,75,122,120,106,152,103,155,179,172,173,171,172,173,173,173,173,172,177,159,150,198,178,157,128,152,183,150,134,90,139,132,103,131,109,147,180,174,174,171,172,174,173,173,173,176,199,158,121,165,190,161,135,142,197,161,138,95,151,134,95,109,113,125,186,173,176,171,172,173,174,175,171,187,194,166,141,142,200,167,135,130,198,164,135,93,152,130,85,97,124,84,174,175,176,172,173,173,174,171,186,182,182,176,153,121,186,173,132,114,195,162,125,76,125,121,78,87,134,73,130,186,175,173,174,175,174,175,189,158,177,184,159,111,165,178,131,95,170,153,113,69,101,108,73,88,137,82,106,186,175,174,174,176,173,184,182,147,159,182,157,109,139,172,125,81,136,141,108,73,87,98,65,104,146,92,110,188,178,174,175,176,174,184,177,153,147,165,143,101,113,155,118,74,107,137,105,71,89,99,75,141,156,101,112,188,179,172,173,173,179,186,167,143,120,151,135,98,93,148,117,66,86,139,101,66,110,103,99,166,153,101,120,188,177,173,173,174,174,195,180,152,111,126,138,90,84,143,121,65,82,145,102,121,162,131,107,157,158,99,131,188,178,174,175,174,176,194,183,156,123,92,120,108,80,146,133,74,90,145,147,162,156,142,116,115,146,93,134,187,177,174,175,173,180,198,187,166,140,108,99,118,96,144,142,128,160,168,164,155,144,128,119,100,104,81,131,188,177,175,175,174,179,199,192,172,149,137,127,123,142,153,163,177,178,175,166,153,139,120,107,101,86,72,129,189,178,175,176,175,180,194,193,179,162,151,143,133,137,157,169,175,175,177,167,148,136,118,100,91,86,69,149,187,180,174,175,174,176,189,190,185,173,164,148,142,138,150,165,174,174,170,162,144,132,114,97,90,74,115,183,183,181,176,178,179,173,188,190,191,182,169,152,142,141,151,169,177,174,164,156,142,128,110,94,74,103,181,180,181,181,145,148,154,146,176,192,194,183,169,156,144,141,151,172,175,169,159,152,139,121,103,85,84,173,188,185,187,187,88,90,95,82,135,194,185,178,170,159,148,137,152,169,166,156,146,139,128,111,96,81,104,148,147,150,149,147,95,95,95,84,108,190,174,170,170,163,152,136,147,166,159,145,130,119,110,102,87,88,89,88,86,82,102,131,93,94,96,90,101,185,165,168,172,164,150,137,143,164,155,136,111,98,94,87,89,96,90,89,115,154,187,185,92,92,93,91,98,182,165,168,173,160,151,142,139,157,149,124,94,85,81,89,96,97,122,160,191,193,181,167,92,92,93,92,94,186,178,169,171,157,147,144,134,144,141,111,85,80,82,87,107,169,200,207,196,189,183,166,92,94,92,92,91,183,185,176,169,155,148,149,130,136,135,104,82,78,81,129,191,206,203,198,189,195,198,184,93,93,93,93,91,173,184,182,169,155,149,149,127,129,132,101,78,68,133,197,195,198,200,188,185,191,200,200
10,136,138,141,143,143,145,147,148,150,150,150,150,152,155,158,158,156,156,157,157,157,158,158,157,155,156,157,157,140,142,144,147,148,149,151,152,152,153,153,154,156,158,159,155,158,159,159,160,160,160,160,160,158,158,158,158,145,147,149,151,153,155,155,156,157,158,158,160,160,159,183,132,134,166,161,164,163,164,163,163,161,159,160,159,149,152,156,155,158,159,159,161,161,161,164,164,164,163,195,133,113,173,165,166,166,167,166,166,165,163,163,162,153,156,159,160,162,163,163,165,165,165,168,168,167,168,200,141,106,174,168,170,171,170,168,167,168,167,166,165,158,160,163,166,167,167,168,169,172,170,170,171,170,171,203,153,108,175,173,172,172,173,171,171,172,170,168,167,162,164,168,171,170,170,171,177,168,177,179,178,176,175,206,164,111,175,179,177,176,176,175,174,174,172,171,170,166,167,171,173,173,173,176,188,130,107,166,159,174,181,209,176,110,171,183,182,181,181,179,178,176,176,176,175,169,171,175,176,179,179,182,165,97,56,85,92,125,191,207,180,107,167,188,184,185,184,183,181,180,180,180,177,172,175,177,179,182,181,184,185,114,62,81,78,88,193,220,190,106,169,192,187,188,188,187,185,183,183,182,180,173,178,181,183,184,185,185,193,172,107,147,101,73,179,194,171,104,173,195,190,191,191,191,190,188,186,185,184,177,181,185,187,187,186,192,205,172,93,193,156,91,119,111,126,98,175,199,195,195,195,194,192,191,190,189,188,181,184,187,188,192,187,188,217,180,63,154,185,122,70,73,97,89,177,202,197,198,198,197,195,194,193,190,190,183,187,190,190,201,212,196,214,192,88,84,202,156,93,76,102,82,176,203,198,201,200,199,199,197,195,195,194,186,189,192,193,199,223,193,201,197,130,49,172,192,125,83,96,79,180,208,202,203,202,201,201,200,199,197,196,187,192,194,196,195,186,165,150,233,183,63,99,206,156,100,79,79,175,211,202,204,204,204,204,203,203,199,197,190,194,196,198,200,189,162,127,195,146,53,78,173,172,134,82,73,179,215,206,206,206,206,206,204,203,202,201,194,196,198,198,202,207,160,149,135,63,74,126,157,171,137,84,68,184,216,209,209,209,210,208,206,203,203,204,195,197,200,202,203,217,194,153,129,97,167,213,177,149,125,85,74,193,215,211,210,210,210,209,207,206,205,205,197,200,202,204,205,226,197,174,174,159,223,224,184,135,115,86,94,213,212,212,213,211,211,209,209,209,208,206,200,202,202,204,207,220,210,196,188,174,229,211,174,134,107,82,115,223,212,213,213,213,212,211,210,210,210,208,200,203,204,207,207,217,212,188,186,181,222,196,162,129,104,78,123,226,214,216,216,215,214,212,212,211,211,210,202,205,207,210,209,211,213,202,202,176,203,188,152,122,98,75,129,228,215,218,217,217,216,216,215,212,211,210,203,206,207,209,210,207,206,207,201,169,198,187,145,115,97,78,141,228,216,219,219,219,217,216,216,214,213,213,204,208,208,209,212,211,206,203,187,156,184,181,144,118,100,81,171,227,217,219,218,217,218,217,216,216,215,214,204,207,208,209,211,210,217,194,165,158,181,158,156,138,97,94,211,224,222,222,222,219,220,219,218,218,217,216,205,207,208,211,213,208,223,208,188,180,175,164,172,149,83,134,230,222,224,223,224,224,222,222,221,220,219,217,202,205,208,210,210,199,221,216,200,186,166,169,164,133,77,187,229,222,224,224,223,222,223,223,222,220,219,218
7,202,201,202,201,201,201,201,201,200,200,198,197,195,194,193,192,190,188,187,186,184,184,182,181,178,174,173,172,204,204,204,203,204,204,204,203,202,202,201,199,198,197,195,195,193,192,190,188,187,185,184,182,180,178,175,175,205,206,206,206,206,207,207,206,205,203,202,201,199,199,199,198,196,194,192,190,189,187,186,184,182,179,177,176,207,207,207,208,208,208,208,208,206,205,203,202,203,202,201,199,199,197,195,193,192,190,187,186,185,181,179,178,209,208,209,210,210,211,210,209,208,207,207,206,205,202,202,201,200,199,197,195,194,192,189,188,186,183,182,180,211,210,210,210,211,212,212,210,209,208,208,208,207,205,205,203,201,200,198,196,195,195,193,191,188,186,184,182,213,212,212,213,213,213,213,213,211,210,209,209,207,207,206,205,203,202,200,200,197,195,194,192,189,187,185,184,214,214,214,214,214,213,214,214,213,212,210,210,209,209,208,206,205,203,203,201,199,198,196,194,191,189,186,185,215,215,215,215,215,215,215,215,214,213,212,210,211,210,208,207,205,204,201,198,195,190,189,188,189,191,189,187,216,216,216,216,217,217,216,216,215,213,209,207,203,196,186,175,164,149,146,147,148,132,134,161,156,185,191,189,217,217,217,218,217,217,214,200,178,159,151,146,146,141,133,130,130,110,116,118,114,114,119,149,137,177,192,191,218,218,218,219,218,209,187,167,148,120,121,126,127,129,127,128,109,104,95,93,93,94,84,104,140,184,194,193,219,219,219,215,193,177,173,163,142,110,105,104,104,108,109,112,110,117,110,88,93,89,85,87,91,108,161,193,219,220,208,178,166,166,165,157,147,131,118,116,118,127,131,129,128,121,110,76,81,84,74,74,67,92,117,192,220,203,172,165,164,164,158,157,155,144,126,122,122,129,122,118,114,108,93,71,70,72,68,69,67,84,141,193,197,175,171,167,165,162,160,163,152,129,91,85,94,97,92,93,95,96,99,114,139,155,167,171,175,180,193,195,170,175,175,170,167,166,163,147,133,107,68,67,69,61,129,177,189,199,205,206,207,205,205,204,200,199,198,196,169,174,173,170,168,160,142,129,125,102,79,58,53,54,64,173,214,213,211,209,207,206,205,202,200,196,178,153,169,169,173,174,165,147,131,119,118,124,116,72,50,50,50,137,215,214,213,210,207,205,204,201,188,125,83,70,167,171,174,167,148,125,116,113,115,123,109,63,49,48,79,198,215,214,213,212,209,203,182,138,93,62,51,54,168,169,163,146,126,114,109,103,101,102,76,51,39,66,192,216,215,214,211,190,156,115,80,61,54,54,44,49,164,156,139,128,122,115,112,100,83,81,71,54,46,78,213,205,197,194,160,97,71,57,55,53,53,55,41,42,145,134,129,122,114,103,90,77,71,82,83,57,48,115,139,91,83,78,66,59,64,50,45,49,52,53,39,35,135,132,123,106,90,81,76,75,78,84,69,54,64,77,52,45,52,42,51,44,47,51,30,40,49,51,37,33,130,122,108,95,89,85,78,72,70,63,59,69,67,62,52,30,46,36,41,37,38,39,26,34,44,49,32,34,111,97,90,89,86,81,73,65,64,66,67,61,53,49,45,28,35,35,31,33,34,31,23,29,42,45,27,34,74,63,67,71,73,72,76,80,64,63,56,51,42,45,38,35,22,32,25,29,32,24,22,28,41,42,25,35,55,90,105,105,103,105,104,81,55,44,48,49,36,40,34,35,15,24,25,27,32,21,22,32,39,39,23,38
4,135,136,138,139,140,142,144,147,148,150,151,152,152,154,156,157,158,159,160,161,162,162,162,161,162,163,165,165,134,136,138,140,141,143,145,147,149,150,151,152,154,153,155,157,158,159,161,161,162,163,163,165,165,164,165,166,135,137,140,140,143,144,145,148,149,151,151,151,154,155,153,153,158,159,160,161,162,163,164,166,165,166,166,166,135,137,141,142,143,144,146,148,150,155,152,144,146,164,155,136,127,157,158,161,162,163,165,166,166,166,167,168,136,139,141,144,144,144,147,148,150,158,165,147,113,136,158,127,97,115,132,124,154,164,166,167,167,167,168,169,137,141,141,144,144,148,172,162,141,112,153,143,108,105,149,117,87,93,117,96,115,167,168,168,168,168,168,168,138,141,143,144,144,164,190,173,130,99,136,141,107,89,143,139,87,89,123,101,100,168,167,168,169,169,169,170,138,140,144,146,144,177,165,176,134,103,117,151,114,71,137,150,96,92,139,108,100,168,168,169,170,171,170,171,139,142,144,146,145,183,155,154,149,118,84,148,117,53,107,157,132,108,126,108,109,151,169,170,171,171,171,172,140,143,144,146,150,182,154,135,125,98,60,93,96,53,76,147,140,125,120,119,121,112,164,170,171,172,173,173,141,143,146,146,157,179,157,139,123,104,91,78,98,85,86,127,141,137,125,118,123,125,141,171,172,173,174,174,143,144,147,145,177,177,153,130,119,106,93,94,114,102,111,124,133,127,114,131,152,136,117,171,172,174,174,175,142,145,148,147,187,171,148,125,110,95,91,102,118,113,125,140,127,103,129,165,159,143,112,164,174,174,175,175,143,146,148,153,195,171,148,126,113,99,96,106,115,126,135,148,150,153,150,151,148,137,112,142,175,176,175,175,144,147,148,159,197,173,153,133,112,101,97,109,123,136,143,154,167,166,158,148,133,116,105,112,176,176,175,175,145,146,148,166,200,175,157,139,117,102,103,107,129,144,160,167,170,163,157,144,128,109,94,97,177,177,177,176,147,148,147,172,200,174,161,144,128,113,111,112,138,162,175,174,167,156,150,139,123,104,90,105,178,178,178,177,146,149,148,176,202,182,167,153,141,122,116,130,149,176,181,175,166,153,142,131,115,100,85,142,179,177,179,179,149,150,149,172,204,189,173,162,152,137,127,145,152,173,178,172,164,153,136,121,100,89,98,173,178,178,179,180,149,149,150,164,209,194,180,165,157,145,137,147,157,173,176,168,164,155,135,114,92,82,145,178,179,178,179,180,148,150,151,155,210,197,179,162,154,146,143,149,159,173,174,162,158,153,134,117,91,110,176,179,178,178,179,180,150,150,151,151,208,197,175,167,158,152,151,154,164,169,164,156,148,143,134,114,93,162,180,180,180,179,180,181,149,151,151,152,209,191,175,176,168,161,158,156,162,164,153,147,139,135,125,101,138,179,180,180,180,179,180,182,150,151,151,156,209,185,179,182,173,171,165,156,159,160,150,141,132,120,105,124,175,180,179,180,180,180,181,182,150,151,151,163,208,194,183,179,174,176,168,155,152,153,146,134,119,102,111,173,178,180,179,180,181,181,181,182,149,150,151,171,209,202,180,174,175,179,168,148,144,143,139,125,108,88,158,177,178,179,180,180,181,181,181,182,149,150,150,181,206,203,179,172,175,175,163,146,137,140,133,116,97,107,179,178,178,178,180,180,181,181,181,182,150,151,149,188,207,203,177,170,173,171,157,144,135,142,129,109,87,141,178,179,178,180,181,181,181,181,181,182
24,173,176,177,181,184,187,187,188,189,190,191,192,192,193,193,193,193,193,192,192,192,191,192,190,190,188,187,186,175,178,181,184,186,190,190,190,192,193,193,194,195,196,194,195,197,197,195,195,194,194,194,192,193,191,189,189,177,179,183,186,188,191,192,193,194,196,196,197,198,197,196,198,199,199,199,199,196,195,196,196,194,193,191,190,178,181,184,186,189,191,193,196,197,199,200,200,200,200,200,200,202,200,200,200,198,198,199,199,197,196,195,194,180,182,185,189,190,192,197,198,200,201,201,202,201,201,203,204,204,203,204,202,202,203,202,201,201,199,198,196,183,185,188,192,194,200,196,200,201,202,202,202,204,205,205,206,206,208,208,205,202,204,203,203,203,202,200,198,184,187,193,190,215,227,163,201,204,205,204,206,208,208,206,207,208,205,207,209,206,206,206,206,204,203,202,201,188,190,194,194,212,239,160,182,211,208,207,206,211,208,207,210,210,240,227,187,208,209,208,209,207,207,206,202,188,192,195,201,198,238,196,161,211,211,207,218,205,213,251,207,183,255,245,169,163,217,208,208,209,209,208,206,189,193,197,202,199,217,250,188,183,212,222,255,213,214,255,229,163,230,255,183,124,206,214,210,211,209,209,209,191,196,199,202,205,203,249,225,162,196,241,255,245,203,253,248,176,207,254,187,114,192,220,214,213,214,213,191,194,197,201,205,208,205,222,245,220,197,226,255,255,201,228,250,177,178,234,170,104,185,223,216,213,223,203,148,195,199,203,207,208,211,209,241,252,234,230,255,255,214,190,247,190,140,199,153,96,160,233,216,199,208,173,130,198,202,206,208,210,214,213,219,249,237,255,255,252,207,156,220,201,118,149,163,95,105,203,191,202,195,131,169,200,203,206,210,212,214,217,213,241,255,245,231,232,198,150,172,186,125,145,179,110,151,173,204,205,138,153,222,201,205,208,211,214,215,217,215,233,255,222,195,194,218,198,140,201,153,125,187,207,237,218,199,163,136,214,221,203,208,210,213,214,216,219,220,227,255,231,207,200,214,207,177,199,165,170,255,254,230,204,166,126,176,230,218,204,209,211,214,216,220,223,224,224,255,255,230,200,204,230,243,222,224,255,255,238,222,192,148,138,216,225,223,206,209,213,216,217,220,223,225,220,253,255,246,214,202,235,255,255,255,255,251,235,209,179,130,174,235,225,225,207,211,215,217,220,222,224,226,221,245,255,255,237,217,221,255,255,255,255,251,234,198,151,131,218,231,228,225,208,213,215,216,221,224,226,229,227,238,255,255,250,237,227,250,255,255,255,249,225,190,133,170,238,229,229,227,210,213,215,219,222,225,227,230,231,231,255,255,255,241,227,238,255,255,247,230,205,175,139,223,235,231,231,229,211,215,218,222,223,225,228,230,232,229,242,255,255,234,215,227,237,234,219,197,168,125,185,243,234,233,233,233,211,216,219,222,225,228,229,233,236,238,243,255,249,214,195,200,208,214,196,166,119,134,238,234,235,235,234,234,211,215,217,222,224,225,228,183,164,169,179,222,203,198,203,210,226,212,186,150,97,204,255,234,235,234,234,233,212,216,220,222,223,227,233,152,123,125,102,97,96,104,101,106,102,91,91,87,76,133,186,238,236,234,233,232,211,217,221,223,225,227,241,169,126,131,107,92,83,68,58,48,39,37,35,34,40,17,98,248,234,237,237,234,214,217,221,224,226,228,241,182,127,125,105,89,82,72,63,54,46,43,42,39,39,30,195,251,235,238,238,236
8,222,226,228,231,234,231,235,236,236,235,236,236,237,235,234,234,231,231,230,229,228,227,226,225,223,223,222,220,225,227,232,226,213,238,236,237,236,236,236,237,237,236,236,235,235,233,231,230,230,229,229,227,226,224,223,221,227,226,240,227,157,227,242,239,237,238,238,239,239,238,237,237,235,234,235,234,232,231,231,229,229,227,225,224,228,228,244,242,145,199,249,240,242,241,240,240,239,239,239,238,237,236,236,235,233,233,232,229,229,228,226,226,229,231,240,255,151,181,253,241,244,242,241,241,242,240,240,238,237,237,237,236,235,233,233,232,231,230,228,228,230,235,237,249,157,166,255,243,247,246,249,242,244,247,245,241,239,240,239,237,237,234,236,235,233,232,230,228,233,237,237,255,201,152,250,248,244,229,228,249,240,219,231,249,247,243,239,240,238,237,237,237,236,235,233,230,235,238,235,255,221,136,233,251,255,238,182,221,255,192,161,233,226,241,246,239,242,240,238,239,238,235,233,232,236,240,239,255,230,159,194,255,255,255,213,155,255,216,210,162,161,163,240,247,241,243,240,241,240,236,234,232,239,242,242,253,255,200,177,244,255,255,245,147,204,223,230,210,192,171,186,240,244,243,242,243,241,237,235,235,241,243,243,247,255,197,191,231,236,255,250,159,162,212,185,243,246,249,207,151,240,244,242,242,242,239,236,235,241,244,247,247,255,242,215,249,233,238,253,159,132,187,126,209,231,248,219,134,225,250,242,243,244,242,239,237,242,246,250,248,255,255,204,206,229,206,251,199,129,159,126,164,228,255,222,135,224,253,243,244,245,244,242,238,244,247,251,248,255,243,181,181,192,172,227,250,152,130,116,177,254,255,228,135,225,254,244,246,246,246,244,240,246,249,252,248,255,255,217,180,170,162,183,199,159,141,109,193,255,255,224,135,227,255,247,248,248,247,245,241,246,250,253,249,255,255,234,190,165,165,160,217,216,162,186,236,254,255,203,124,213,255,248,249,249,248,245,242,246,250,253,250,255,255,240,209,168,146,178,242,240,244,255,245,225,214,172,117,199,255,250,250,249,249,247,243,245,250,254,253,255,255,246,225,194,150,170,233,255,255,255,237,199,171,148,117,235,255,252,250,249,249,246,244,247,252,254,255,255,255,251,228,209,169,168,245,255,255,255,227,180,147,112,165,255,252,253,252,251,249,246,245,250,253,255,255,255,255,255,238,222,184,183,255,255,255,231,203,160,123,115,246,255,255,255,253,253,252,248,247,251,253,255,255,255,255,255,244,235,195,189,255,255,238,205,174,145,100,189,255,254,255,255,254,254,253,251,249,251,253,255,255,255,255,255,249,230,193,194,254,250,224,194,159,124,124,255,255,255,255,255,254,254,253,251,248,249,252,255,255,255,255,255,243,214,174,201,236,215,206,186,151,98,205,255,254,255,255,255,253,252,252,250,248,251,255,255,252,255,255,255,232,198,185,206,220,192,182,178,116,141,255,255,255,255,255,255,253,254,251,249,247,251,255,255,250,255,255,255,237,210,204,210,204,183,173,147,116,241,255,255,255,255,255,255,255,251,249,255,254,251,254,253,255,255,255,255,241,214,217,207,180,172,156,111,200,255,255,255,255,255,255,255,255,255,255,213,148,252,255,246,255,255,250,241,227,211,212,195,160,159,123,148,255,255,255,255,255,255,255,255,237,193,135,83,66,252,255,242,255,255,234,210,201,198,212,187,141,153,105,218,255,255,255,255,250,230,210,165,107,66,50,57,63
22,107,113,117,120,126,131,134,138,140,143,145,146,149,150,149,150,150,150,148,148,148,147,146,145,144,142,141,141,108,115,118,121,127,131,136,138,142,144,145,151,150,151,151,152,150,152,154,150,150,150,148,146,145,144,143,143,110,117,120,123,128,133,138,141,142,159,134,116,156,152,153,152,155,139,132,155,150,150,149,151,151,146,145,144,111,119,122,124,129,135,139,143,142,176,138,84,155,153,155,153,164,126,81,154,153,151,154,136,133,150,147,145,112,119,122,126,131,136,140,145,143,179,147,84,153,156,156,157,160,115,79,159,153,155,157,110,82,152,148,147,113,120,123,127,133,137,142,146,144,177,157,88,150,159,157,159,154,101,98,164,152,159,154,101,90,157,149,149,114,121,123,128,135,140,144,148,144,181,171,97,140,163,157,153,147,88,121,164,158,164,137,75,127,159,150,150,115,122,125,129,135,141,145,149,146,180,169,97,130,167,157,148,134,76,138,162,169,165,115,85,158,154,152,151,116,124,126,130,136,143,147,151,148,178,167,97,116,169,157,157,138,73,151,166,164,140,92,121,163,154,154,153,117,125,127,132,138,144,147,151,150,173,183,123,107,168,155,158,120,83,171,181,162,108,79,156,158,157,155,155,119,126,128,132,139,144,148,152,154,164,183,126,93,166,139,140,82,101,191,180,154,86,109,169,157,158,157,156,120,126,128,134,141,146,151,154,156,158,182,116,63,129,125,139,128,157,179,162,129,72,152,165,160,159,158,156,121,126,130,134,141,147,151,154,164,139,141,106,82,135,145,145,168,167,162,139,80,100,171,161,162,160,158,158,122,127,130,135,141,147,152,157,172,139,120,109,117,119,130,152,156,157,153,107,71,157,166,163,162,162,160,158,123,129,130,136,144,151,151,167,178,150,157,145,136,88,64,125,141,151,127,78,107,178,164,165,164,163,161,160,123,130,132,138,145,150,152,172,190,157,144,147,137,118,89,60,98,108,86,65,130,177,166,165,165,164,162,162,124,130,132,139,145,150,152,182,182,148,96,90,130,140,124,90,57,65,70,60,154,174,169,167,167,166,163,162,124,129,132,139,147,151,154,187,183,148,95,53,89,146,137,117,87,65,56,60,165,173,171,169,168,167,164,163,125,131,133,140,146,152,154,189,200,152,159,78,108,176,150,123,107,86,49,43,156,176,170,169,168,168,166,164,126,131,134,141,146,153,156,191,198,152,143,83,150,191,158,128,112,88,46,37,155,178,170,170,168,168,168,166,126,131,133,140,147,153,154,190,200,153,132,140,185,164,156,124,100,78,41,52,171,174,170,170,170,170,168,166,125,131,133,139,147,153,152,184,194,167,138,161,194,149,138,140,95,72,34,84,183,169,170,170,169,169,168,165,125,131,133,141,148,154,154,178,192,176,139,166,187,150,135,135,105,62,29,116,184,170,171,170,169,170,168,166,126,131,133,141,148,155,155,172,187,178,142,152,176,146,131,123,91,52,32,148,180,173,173,170,170,170,169,167,125,131,133,140,147,153,159,155,186,172,143,128,150,124,108,97,65,36,58,177,173,173,172,169,168,167,167,166,127,132,135,142,150,157,162,56,125,171,110,101,114,113,93,71,55,36,127,190,179,180,178,176,174,175,174,172,106,109,111,114,116,123,101,36,38,101,106,111,116,126,108,72,54,47,119,127,124,123,124,125,124,124,124,124,86,86,85,87,87,80,46,40,40,34,88,113,112,119,106,66,37,27,76,77,75,74,73,73,72,71,63,48
12,135,138,140,143,144,145,149,152,153,154,154,154,156,154,155,156,155,154,156,156,155,154,154,154,152,152,152,151,138,141,143,145,147,147,151,154,156,156,155,156,157,157,158,158,158,156,158,159,158,156,156,155,154,153,153,153,139,142,144,146,148,149,152,153,155,158,158,157,159,160,158,160,160,160,160,161,160,160,160,158,157,156,154,155,139,141,145,147,148,151,153,155,156,157,159,161,162,160,160,162,163,161,159,161,162,162,161,160,159,159,157,156,141,144,147,149,151,153,155,157,158,161,162,163,162,161,166,165,162,162,165,164,161,162,161,160,160,160,160,158,142,145,147,150,154,155,158,159,160,162,162,161,163,162,148,159,169,154,130,154,166,161,160,162,162,162,162,161,144,146,149,152,154,156,159,162,163,162,164,159,185,184,126,120,194,148,82,89,176,165,170,163,163,164,164,163,146,148,151,153,155,156,159,162,163,163,163,162,215,195,138,110,188,143,81,42,130,117,125,171,164,165,165,165,148,151,154,155,158,159,160,162,162,165,174,128,140,181,131,99,181,136,74,51,149,105,38,132,173,164,167,168,147,150,153,156,159,161,163,165,158,196,186,143,75,129,124,86,175,136,62,94,162,117,48,75,181,167,167,167,148,151,153,156,160,162,164,163,177,216,201,155,91,74,147,86,193,177,94,123,169,130,52,64,179,169,169,167,149,153,155,157,160,163,165,160,199,183,195,158,95,59,164,90,163,164,68,133,207,146,44,68,181,169,170,170,151,153,157,159,161,165,167,165,209,175,180,158,94,40,84,72,37,106,85,132,155,83,17,76,182,169,170,171,153,156,158,160,163,168,163,195,209,155,165,153,97,46,21,23,18,138,182,164,132,104,29,87,184,170,173,171,154,157,160,163,164,166,166,212,191,135,141,147,99,56,40,45,139,170,157,146,121,109,55,110,187,173,174,171,155,157,161,164,166,166,177,211,180,150,115,137,141,56,30,164,196,165,146,130,95,78,53,115,186,173,176,173,156,158,162,165,168,165,194,211,184,164,123,99,112,56,113,211,194,160,141,120,85,71,42,127,188,175,177,175,158,161,162,166,171,164,201,210,184,157,146,107,104,129,194,208,192,153,132,106,75,65,37,145,186,177,177,176,159,161,164,168,172,166,203,209,186,166,153,124,128,138,199,207,183,145,121,97,70,63,27,132,189,175,178,178,160,162,165,168,172,167,200,214,192,175,164,139,116,151,204,199,170,143,111,85,65,55,27,156,187,176,178,178,161,164,167,169,172,170,194,214,193,176,163,144,123,176,195,179,157,135,105,76,62,30,99,191,179,179,179,179,162,165,169,170,173,172,188,211,185,171,151,135,146,182,167,161,143,119,92,70,37,84,188,183,181,181,182,180,163,166,168,170,173,171,193,207,179,169,148,145,168,179,153,152,130,104,84,50,78,184,185,184,184,182,182,181,165,167,170,172,176,169,203,206,187,179,162,161,178,176,151,141,119,100,68,56,172,188,184,185,183,183,183,184,165,168,171,173,178,170,219,215,201,181,170,175,177,161,146,115,100,82,45,127,191,186,187,185,185,185,184,183,165,169,172,173,175,175,224,213,211,187,179,177,163,150,126,95,89,47,98,189,189,189,188,186,186,186,185,184,166,170,173,176,172,180,212,198,202,180,176,163,156,131,108,92,69,58,169,193,190,191,189,187,186,186,186,185,167,170,174,177,169,186,207,178,175,163,162,165,147,115,110,86,48,106,191,191,191,191,191,189,187,187,187,186
10,170,173,176,179,181,184,186,188,190,191,192,193,194,194,195,194,195,196,195,195,195,195,195,195,196,196,196,196,172,175,178,181,184,186,188,190,192,194,195,196,196,196,197,197,198,197,198,198,197,197,197,197,198,197,197,196,175,178,181,183,186,188,191,193,195,196,198,198,198,199,200,200,200,202,201,200,200,200,199,199,200,200,200,199,176,180,183,186,188,191,194,196,198,199,200,201,201,201,202,202,203,196,198,204,203,203,201,202,202,202,202,202,178,182,185,187,191,193,196,198,201,202,202,203,204,203,204,201,212,193,162,208,204,204,204,204,204,205,205,203,181,184,187,190,192,195,198,200,203,204,204,204,205,206,206,205,210,215,161,185,211,206,207,208,207,207,207,206,181,186,189,192,194,197,200,202,204,205,206,206,207,208,208,210,208,220,190,161,211,209,209,209,209,209,208,208,183,187,191,193,196,199,201,204,206,207,207,208,209,209,209,203,207,223,223,168,195,214,209,210,210,210,209,209,185,189,192,195,198,201,204,206,207,208,209,210,211,210,218,182,156,221,236,191,166,218,211,213,213,213,213,211,187,190,193,196,199,203,205,206,208,209,211,212,213,211,221,207,149,172,239,211,153,206,217,214,215,215,214,214,187,191,195,198,201,203,205,208,210,211,213,213,214,213,216,238,210,170,196,223,158,188,221,214,216,216,216,216,188,192,195,199,202,204,207,209,210,212,214,215,213,221,213,211,242,188,136,205,172,168,225,215,218,218,218,217,190,193,197,200,203,205,208,210,211,213,214,215,217,224,206,152,196,204,148,143,156,150,227,217,219,219,219,218,190,193,197,200,204,206,208,211,213,215,215,215,235,221,188,128,121,203,176,124,120,126,209,223,220,219,219,220,190,194,198,201,204,207,209,212,214,215,216,214,237,214,150,100,91,171,188,152,117,112,172,229,220,221,220,220,192,195,198,202,205,209,211,214,215,214,223,224,210,234,207,135,88,163,196,185,142,115,151,229,221,222,221,220,193,196,199,203,206,209,212,214,216,215,227,240,220,206,237,190,124,195,214,200,156,114,139,226,224,224,223,222,193,197,200,203,206,210,212,214,216,217,215,220,239,195,196,231,172,199,217,193,162,116,133,227,225,225,225,224,193,196,199,202,205,208,211,214,215,216,217,197,209,188,153,202,166,204,225,190,158,123,132,226,225,225,225,224,193,197,200,203,206,208,210,214,215,214,224,225,199,187,160,165,233,238,222,192,150,123,136,225,225,224,223,224,193,196,199,203,207,209,211,213,215,214,222,238,214,187,179,210,248,234,217,181,144,124,141,228,224,224,223,223,193,196,199,203,207,209,211,214,215,217,216,234,222,213,203,222,242,222,203,171,140,134,135,226,226,225,224,224,194,197,200,203,206,208,211,213,215,216,217,227,227,223,218,212,239,211,194,171,158,151,135,223,225,224,225,225,191,195,199,204,208,211,214,217,219,220,222,225,230,229,227,199,223,208,200,181,176,153,143,229,227,226,227,227,140,143,147,151,155,157,161,166,169,172,172,186,232,231,222,202,201,204,210,194,171,140,148,219,218,220,221,224,134,135,135,135,133,132,131,133,134,134,136,135,207,221,208,201,193,198,220,198,163,137,133,143,146,148,151,153,138,139,140,140,140,143,144,143,142,142,145,136,169,217,198,200,200,201,212,194,159,133,139,144,141,142,141,140,136,136,138,138,138,139,140,143,142,140,140,139,148,210,208,201,206,200,198,197,159,132,145,151,148,151,150,152
23,149,153,156,159,162,164,167,170,171,173,174,176,176,177,178,180,180,180,183,183,184,186,187,187,187,187,188,188,150,154,157,160,164,166,167,170,171,174,174,176,178,179,180,182,182,183,185,188,186,187,187,188,189,188,188,190,151,155,158,161,165,167,168,170,172,174,175,177,180,180,179,181,175,180,183,164,183,189,189,190,190,189,191,190,152,155,159,162,166,167,169,171,173,174,176,178,179,179,186,187,173,164,143,107,183,191,190,192,191,191,192,192,154,157,160,163,166,168,170,173,174,176,178,177,180,188,193,172,126,125,117,160,194,189,191,193,192,192,193,192,154,158,160,164,166,168,171,174,174,178,176,185,198,178,168,119,125,168,188,196,191,192,194,193,194,194,194,194,154,158,162,164,167,169,171,174,175,178,174,198,203,148,109,143,193,139,169,195,190,193,195,194,195,195,195,195,155,158,163,165,168,170,171,173,176,179,175,200,206,157,167,215,181,136,138,202,194,193,195,195,195,196,197,197,154,159,163,165,168,170,171,175,177,180,179,206,201,199,213,189,165,174,151,168,179,194,194,195,196,197,197,197,155,160,163,166,169,170,173,177,178,180,182,203,195,203,193,191,192,183,149,102,112,181,198,196,197,198,197,198,157,161,164,168,169,171,174,178,179,179,185,190,185,189,192,187,179,172,132,90,81,140,209,197,197,198,198,198,157,161,164,168,170,171,173,177,178,189,193,180,177,186,185,179,176,159,120,91,85,98,155,202,197,197,198,197,156,160,165,168,170,172,174,177,181,215,200,183,188,177,170,160,140,142,124,92,80,101,99,162,205,197,198,197,156,161,165,168,171,172,175,179,179,210,210,197,191,162,134,95,95,155,123,90,71,101,101,155,207,198,199,199,157,161,166,168,171,174,175,179,180,203,207,192,177,163,135,82,99,157,118,87,86,108,113,193,202,199,200,200,157,162,166,169,172,173,175,178,179,204,208,184,198,159,95,73,124,114,79,78,109,111,146,207,199,201,201,202,157,162,166,170,172,173,176,179,179,203,203,193,190,148,99,62,78,57,70,89,116,116,189,202,200,200,200,201,158,162,166,169,171,173,176,180,180,202,200,200,187,148,112,54,54,76,101,111,107,141,207,199,201,201,201,201,159,164,167,169,172,174,177,180,181,204,200,201,186,146,118,71,71,104,119,123,106,179,206,201,202,202,201,201,160,163,167,170,173,175,178,179,183,205,202,199,180,146,120,78,86,114,123,115,134,207,199,202,203,202,201,202,160,163,167,171,173,175,177,179,184,206,199,191,173,143,118,84,92,119,123,107,164,209,200,203,203,203,202,203,159,163,168,172,172,176,179,180,187,205,190,183,169,140,119,98,94,120,118,108,191,203,201,202,203,203,203,203,159,163,167,172,173,175,179,179,188,203,187,180,164,143,125,105,97,117,107,135,208,201,203,203,203,204,205,205,160,164,168,172,173,175,180,179,192,203,188,183,165,147,131,109,100,109,107,188,205,203,203,204,205,206,205,205,160,164,168,172,173,175,181,178,196,205,188,179,165,152,128,109,103,97,160,207,201,203,204,204,205,206,206,206,160,164,169,172,175,177,179,181,203,198,186,173,162,148,116,110,97,153,207,201,203,203,203,204,206,206,206,206,160,164,169,173,175,179,177,194,206,193,183,165,148,133,116,101,134,208,201,203,203,203,204,204,205,206,206,206,161,165,170,172,173,178,176,202,198,191,178,159,140,131,116,99,186,205,201,203,203,204,205,205,205,207,206,206
3,153,154,154,154,155,154,154,156,154,154,153,152,151,151,150,150,148,147,145,143,142,140,139,137,136,135,134,131,154,154,156,156,156,156,156,156,155,154,155,153,152,152,151,150,142,146,146,144,143,141,139,139,137,135,134,132,156,156,157,157,157,157,157,157,157,156,155,154,153,152,150,160,109,131,147,145,144,142,141,139,138,136,136,134,159,158,158,159,158,158,158,158,158,157,157,156,154,154,156,154,92,131,148,146,145,144,143,141,139,138,137,136,159,160,161,162,160,160,160,160,160,159,158,158,157,155,170,131,89,145,151,148,146,145,144,143,142,139,137,136,163,163,163,164,163,163,162,162,161,161,159,159,159,164,168,105,110,152,152,152,150,148,146,145,143,141,139,138,164,165,165,166,165,165,165,165,164,162,162,162,160,181,152,92,133,157,155,154,152,151,148,146,145,143,141,140,165,166,167,168,167,167,167,166,166,164,164,163,173,173,128,90,150,159,158,157,154,152,150,149,147,145,143,142,168,170,170,170,170,170,169,169,168,167,167,166,180,154,101,112,150,152,156,157,156,154,152,150,149,148,147,144,170,172,172,173,173,172,173,172,171,170,169,167,178,161,130,138,154,150,153,147,145,151,154,152,151,150,149,147,172,173,174,175,174,173,174,173,173,172,171,170,181,182,163,143,140,137,142,153,138,112,147,153,148,146,151,149,174,174,175,176,175,176,175,175,174,174,173,173,194,173,153,149,140,124,118,107,123,115,107,123,130,111,146,152,177,177,176,177,177,178,178,177,176,176,174,183,197,175,154,138,128,112,88,90,74,115,116,98,108,104,149,153,179,179,179,179,179,179,179,178,178,178,181,201,185,144,102,93,118,110,99,88,75,77,100,88,84,140,155,155,180,181,181,181,181,181,180,180,179,181,198,200,153,106,73,65,125,152,115,95,81,76,65,76,108,157,157,156,182,182,183,182,182,182,182,182,179,192,209,179,119,83,64,59,88,166,167,151,106,76,77,83,128,160,159,157,182,183,184,183,184,184,184,184,176,203,205,162,111,84,60,53,55,99,162,174,119,77,87,88,148,163,160,158,185,186,185,186,186,185,185,185,175,197,191,162,113,74,57,52,54,57,80,121,81,88,96,98,160,164,162,160,186,186,186,187,186,186,187,186,179,190,197,170,122,83,59,56,61,69,74,77,74,95,99,107,165,165,162,160,187,188,188,189,188,188,188,187,179,187,204,173,134,96,68,62,71,80,90,99,94,95,99,119,168,166,164,162,188,189,190,190,190,190,189,188,180,183,210,181,140,105,83,64,76,91,107,114,106,93,92,133,170,167,166,165,189,190,191,191,190,191,190,190,181,178,211,184,146,117,97,70,79,103,117,117,108,93,105,161,170,168,167,166,190,190,191,192,193,193,193,192,183,173,206,181,152,121,100,78,81,104,112,108,101,98,153,175,172,171,168,166,191,191,193,193,193,192,193,193,185,172,204,185,155,123,99,83,83,99,106,102,95,116,173,175,173,171,170,168,192,193,193,194,195,194,194,195,189,171,199,184,155,123,101,92,85,96,101,98,99,151,177,176,174,173,171,169,193,193,194,194,195,195,195,195,190,179,198,176,151,123,107,98,88,94,98,101,139,177,179,177,175,173,171,170,193,194,194,194,194,194,195,195,192,178,200,176,153,129,112,100,93,94,101,135,178,181,180,178,176,174,172,170,194,195,195,195,195,196,196,196,191,176,194,171,150,129,107,98,97,97,118,175,184,182,181,180,178,176,173,171
12,171,172,173,175,175,175,175,175,176,177,176,175,175,175,176,177,174,172,172,171,171,170,168,168,167,166,165,163,172,175,176,176,177,177,177,177,177,178,178,178,177,176,169,157,167,176,172,172,172,170,169,168,168,167,165,164,174,175,176,177,178,178,179,179,178,178,177,168,176,178,141,120,104,159,180,175,176,173,170,170,169,169,166,165,175,177,177,178,178,178,179,180,178,180,165,129,115,148,150,131,103,110,165,139,130,156,175,169,169,168,167,166,176,178,178,178,179,181,180,180,178,186,164,140,112,105,161,137,119,100,99,120,107,90,156,176,170,169,168,167,177,178,179,179,180,180,182,181,180,189,172,150,134,98,157,146,125,105,83,116,113,77,108,181,171,171,169,167,178,179,179,179,181,181,182,181,184,190,184,157,138,100,136,150,127,109,75,112,110,83,87,179,172,171,170,169,179,181,180,181,182,182,182,181,190,174,190,162,139,106,112,150,128,109,76,102,116,84,89,179,172,172,171,170,180,181,181,181,181,182,180,179,171,126,162,168,133,112,101,151,130,112,81,95,117,83,101,183,172,174,172,171,179,180,181,182,182,180,179,184,158,112,105,164,137,112,85,147,140,117,91,76,105,78,131,184,173,174,173,172,180,182,182,182,182,191,190,174,138,111,83,143,140,103,77,138,162,135,103,74,92,72,147,183,175,176,173,172,181,182,184,182,189,189,171,161,130,121,87,125,141,111,86,146,175,141,105,81,98,84,164,181,177,176,174,173,182,182,183,182,199,182,149,161,136,127,93,101,150,140,101,120,158,122,87,80,103,81,151,186,177,176,175,173,183,182,182,188,186,166,134,132,144,123,94,84,154,148,121,74,73,72,69,96,103,67,99,188,177,177,176,174,183,183,183,189,179,154,134,103,132,128,108,77,135,147,114,76,58,86,94,94,80,74,77,176,181,177,176,175,181,184,184,187,188,168,148,119,108,138,109,81,65,107,109,78,96,115,126,111,88,79,88,180,179,178,176,176,183,185,185,187,191,173,151,130,104,121,104,96,61,112,161,143,136,128,133,116,93,65,125,190,178,180,177,175,184,185,187,188,192,180,158,138,116,99,113,119,92,157,184,171,151,135,129,110,88,63,154,189,180,180,177,176,183,185,186,190,187,173,155,137,115,100,105,116,132,180,177,162,145,131,119,106,80,69,174,184,181,180,178,177,184,186,187,188,177,165,156,136,111,119,98,124,168,175,168,154,139,127,113,102,68,111,192,180,181,179,178,177,184,186,188,186,176,167,158,134,113,128,115,158,171,169,163,147,133,119,106,86,79,178,185,182,181,180,178,178,186,187,187,189,180,166,158,138,124,122,123,163,162,168,160,142,123,110,102,68,119,196,182,183,182,182,180,178,185,187,187,189,182,169,161,146,129,112,122,161,158,160,148,133,113,101,89,64,168,191,186,184,183,182,181,180,185,187,188,189,187,177,161,144,128,109,116,150,150,146,136,118,101,94,65,106,197,186,185,184,183,182,181,180,185,188,189,189,188,176,160,146,132,119,117,140,143,131,121,109,95,79,68,176,190,186,185,183,183,183,182,180,187,188,189,189,191,171,150,140,128,126,119,134,145,132,118,105,92,58,140,197,186,187,186,184,183,183,183,181,187,188,189,188,191,169,153,146,140,139,129,134,142,130,114,100,74,94,194,188,188,187,186,186,184,182,182,182,187,188,189,185,188,171,156,156,149,141,134,135,139,124,98,90,68,156,197,188,190,188,187,187,185,183,182,181
7,175,175,175,175,174,175,175,176,175,174,172,172,169,145,170,167,154,141,135,130,116,105,95,66,51,23,59,150,177,177,178,177,176,177,176,176,175,176,175,174,173,163,168,172,156,137,114,107,91,70,57,40,36,18,70,156,178,178,179,179,179,179,179,179,179,179,178,177,174,165,171,171,161,147,112,87,62,44,33,27,24,26,71,158,180,181,181,182,182,182,182,182,182,180,177,176,182,170,168,170,164,160,157,145,120,84,51,33,37,32,71,159,180,181,181,181,181,182,183,183,181,181,179,183,149,153,173,168,163,164,167,161,163,124,69,49,48,37,74,161,183,182,182,182,182,182,183,183,183,182,185,176,105,122,182,173,165,166,169,158,162,124,51,54,53,45,68,162,184,183,183,184,184,183,184,184,183,181,190,152,121,179,154,167,168,159,169,162,155,108,55,58,59,57,37,84,186,185,186,185,185,186,186,187,187,187,187,151,185,218,163,116,156,157,158,153,139,97,63,61,63,60,28,40,188,187,188,187,188,191,191,185,177,168,169,202,209,199,208,161,120,142,153,148,134,107,75,66,68,60,24,39,187,188,189,191,189,179,164,151,142,128,93,89,115,139,149,142,117,104,121,134,131,112,82,73,72,57,42,118,192,190,181,171,156,145,143,139,137,128,87,61,77,94,97,93,101,101,84,85,99,95,85,82,71,52,72,152,165,154,145,141,141,146,143,138,135,115,83,75,76,83,90,94,97,99,84,71,83,74,81,80,76,58,102,110,145,148,151,149,147,150,148,151,142,124,88,71,78,87,90,89,94,92,78,72,76,76,84,83,111,89,138,79,154,152,152,148,150,155,155,151,145,131,86,62,77,90,101,97,97,93,86,81,74,88,79,78,95,91,86,26,151,151,155,156,153,149,150,144,138,111,73,73,82,85,89,89,90,88,87,78,78,93,83,81,76,90,100,75,160,159,154,154,150,151,150,145,140,110,63,62,61,56,60,64,72,74,69,76,72,78,78,72,72,79,96,83,159,158,153,152,153,155,145,141,154,130,62,49,50,46,76,86,74,118,142,103,104,64,63,77,70,65,56,55,148,151,153,148,148,146,138,146,149,115,66,54,58,54,54,66,76,98,108,86,73,83,87,90,39,50,71,45,141,141,147,144,139,137,135,137,133,96,60,62,61,60,55,52,141,149,90,68,67,94,144,51,4,17,82,93,137,136,135,138,137,135,134,136,135,89,53,43,58,67,54,80,127,65,87,68,65,98,92,8,52,40,73,126,134,135,132,136,136,134,135,135,136,89,49,36,38,55,49,59,74,53,60,58,62,71,66,75,80,70,84,123,135,128,120,122,121,119,122,121,109,78,50,42,50,62,58,56,106,62,110,93,78,65,103,67,48,52,83,118,119,121,109,97,92,91,90,85,64,57,56,96,91,71,85,65,87,89,122,57,45,33,102,78,57,67,56,87,99,105,92,79,72,76,77,75,101,152,153,156,121,93,87,82,51,51,102,41,60,29,54,96,54,72,48,60,90,92,105,114,120,127,161,138,147,155,158,126,143,167,166,86,62,49,74,77,52,42,98,58,55,73,47,57,133,91,181,204,183,152,184,99,149,130,151,162,154,151,172,123,46,99,63,61,40,92,175,89,54,73,56,53,135,98,152,180,182,166,166,81,137,109,141,157,151,152,155,144,99,143,136,84,19,116,159,103,96,138,82,49,107,114,167,184,190,192,165,122,77,95,143,148,141,121,131,139,149,131,149,109,29,109,134,96,129,156,119,60
13,129,138,145,147,151,156,163,167,170,173,174,177,181,184,185,187,190,191,192,193,193,195,195,194,194,194,195,196,129,139,147,149,153,159,165,168,171,173,175,179,182,184,187,189,191,192,193,194,196,194,195,196,196,195,196,197,133,142,149,151,155,161,167,171,173,176,178,181,184,186,189,191,193,191,192,193,196,201,199,198,198,199,198,198,135,145,151,153,157,162,168,171,175,177,180,183,185,187,191,192,194,205,212,197,154,175,200,199,204,199,200,200,136,145,152,154,158,164,169,173,177,180,183,185,188,190,192,197,195,215,230,197,141,104,135,153,181,206,200,201,138,146,151,155,160,165,170,175,179,181,183,187,191,189,202,183,156,160,199,202,141,95,121,150,102,184,208,202,140,148,153,156,161,166,171,177,179,182,186,189,189,201,234,198,167,126,160,207,179,102,134,152,93,168,212,202,141,150,154,156,162,168,173,179,180,185,185,196,184,150,206,231,195,145,93,189,195,106,130,163,97,183,211,204,143,151,156,158,163,168,175,179,182,182,192,224,190,133,119,227,216,170,92,108,171,102,144,182,113,199,208,206,144,152,158,160,164,170,176,180,182,189,221,219,209,170,95,169,224,160,107,53,96,75,141,163,135,216,205,207,146,155,159,161,167,174,177,181,182,216,192,185,220,186,110,113,210,146,102,53,75,109,142,134,107,200,212,209,147,158,160,162,169,176,179,179,202,228,191,164,200,170,114,92,188,152,102,58,115,159,153,134,114,147,220,208,149,157,162,165,171,177,181,182,215,209,176,151,186,142,102,70,177,181,105,101,188,181,150,112,119,111,199,214,151,159,163,166,174,181,183,191,225,202,175,132,165,132,98,46,153,180,101,171,208,176,147,119,113,98,187,219,154,162,164,167,177,184,186,194,234,212,188,142,129,136,83,58,145,186,169,209,190,163,140,116,97,108,215,214,157,164,166,170,180,187,188,200,238,218,194,157,113,112,113,161,207,218,221,201,177,149,130,113,82,159,225,212,160,167,167,173,182,189,190,206,243,228,197,161,156,159,167,193,214,212,210,193,165,144,123,100,88,205,219,215,162,169,171,176,186,191,191,210,237,231,208,176,180,166,168,203,205,215,201,181,157,137,117,86,111,225,216,217,165,171,173,180,189,195,196,210,227,233,218,191,188,167,178,215,203,206,188,165,144,125,110,71,170,230,218,219,168,173,176,184,192,199,202,202,223,232,222,201,188,170,180,207,208,185,171,150,135,123,87,127,229,222,222,221,170,176,179,186,194,200,205,202,217,225,219,209,193,181,177,194,202,178,158,140,129,107,108,223,226,224,223,223,173,179,181,188,196,201,205,209,207,225,221,214,209,197,179,186,194,173,143,129,119,96,199,233,224,227,226,224,175,180,183,190,199,204,207,212,199,225,220,214,210,196,175,179,180,162,126,123,99,156,239,226,228,229,226,228,177,183,185,193,201,208,210,214,204,223,203,188,198,189,172,172,168,150,127,111,109,224,231,230,230,227,233,222,178,183,186,195,203,209,212,216,207,224,204,190,205,201,186,164,162,146,137,95,146,236,231,232,232,243,218,114,179,183,186,196,203,208,212,216,204,226,217,200,218,204,189,161,157,144,139,90,168,238,231,236,232,185,104,70,180,184,187,197,204,209,212,217,209,221,229,218,230,207,191,167,156,145,137,88,178,240,233,232,139,71,56,61,180,185,189,198,205,210,213,220,207,207,234,224,227,205,187,171,158,147,134,86,173,242,243,173,80,80,68,42
15,95,95,96,98,98,99,102,111,121,129,137,144,150,154,154,157,161,165,169,173,176,178,179,181,183,185,186,189,95,95,97,97,97,99,103,112,121,130,138,145,151,154,155,158,161,165,170,173,176,179,180,183,185,187,188,190,95,95,96,97,98,99,102,113,122,131,138,146,152,155,154,157,162,166,171,174,177,180,181,184,186,188,190,192,95,95,96,97,100,99,103,113,123,132,140,146,152,156,155,157,163,169,171,174,178,180,183,185,187,189,190,192,95,95,98,95,96,98,103,115,125,132,140,148,152,155,156,159,163,168,172,175,179,181,183,186,188,190,191,192,96,97,92,107,121,105,106,114,125,134,141,149,154,156,157,160,164,169,173,176,180,182,184,186,188,190,191,193,96,95,94,179,156,135,133,127,124,128,140,146,145,146,152,161,168,172,175,177,178,182,185,187,190,191,192,194,96,94,101,169,140,127,127,124,115,129,129,131,125,126,127,133,143,158,171,180,184,185,185,187,189,191,192,195,95,97,94,116,115,101,106,97,101,123,114,116,112,130,132,127,127,130,137,143,151,170,191,188,189,191,194,196,96,95,96,95,96,96,99,94,98,103,100,96,102,130,127,125,128,131,139,127,114,108,146,198,188,192,195,197,95,96,95,98,98,99,105,117,124,125,127,124,116,117,113,111,106,134,147,137,124,122,93,151,201,190,195,197,95,96,96,96,98,98,105,117,126,138,145,152,157,140,109,105,136,151,149,143,121,136,117,88,169,201,194,198,95,96,96,97,98,98,106,117,127,133,147,163,153,138,120,146,180,137,151,127,152,142,130,110,94,189,200,197,95,95,95,96,98,97,106,119,122,151,185,157,127,120,108,118,166,119,114,158,164,136,159,134,91,114,206,198,94,94,94,94,96,95,105,118,117,182,185,123,114,122,121,101,119,87,113,195,129,136,165,145,113,75,154,210,94,94,93,94,95,95,104,118,117,170,159,111,121,136,141,134,113,89,126,155,99,132,165,152,121,91,88,168,93,93,92,93,95,95,106,118,118,165,150,95,130,142,151,140,110,106,113,115,122,137,143,136,115,92,84,91,92,92,92,94,95,95,104,118,117,167,193,125,121,143,150,132,101,102,112,116,126,131,119,100,97,90,86,88,91,91,92,93,93,94,104,118,119,167,166,187,150,116,107,101,97,109,110,113,120,132,118,90,88,88,88,92,91,91,90,93,92,94,102,116,120,200,167,170,173,135,102,64,71,98,114,118,127,136,114,90,89,89,91,93,88,89,89,90,90,92,103,114,122,152,163,177,165,157,131,84,46,55,79,126,123,120,100,91,92,94,92,91,90,89,88,88,88,91,101,112,123,129,139,152,144,147,131,122,71,62,76,124,136,117,103,102,104,102,97,92,137,133,130,126,128,129,130,132,134,137,141,142,128,123,145,170,104,63,90,90,131,141,129,117,109,102,95,93,119,118,118,120,122,120,119,119,112,112,114,118,121,117,125,183,108,98,103,89,101,112,113,107,99,94,91,89,122,121,122,122,121,121,122,124,119,118,122,122,123,124,118,131,114,126,126,121,120,108,96,93,91,87,85,85,126,124,123,124,125,124,123,125,126,125,127,126,125,127,128,123,128,125,127,128,142,136,115,100,94,88,85,86,128,127,125,125,127,125,126,127,126,127,126,127,126,126,126,127,127,127,125,124,137,143,134,109,104,113,104,89,127,126,125,124,127,128,127,128,127,128,129,127,127,127,126,126,127,127,126,128,118,144,174,128,135,141,125,109
19,156,158,158,160,162,162,162,162,162,162,162,163,162,162,162,161,161,160,160,159,159,159,158,157,156,155,155,155,157,157,159,160,161,162,163,163,163,163,163,163,163,163,163,163,162,161,161,161,160,158,158,158,157,156,157,155,157,158,159,160,162,163,165,164,164,164,164,163,163,163,165,163,162,162,162,162,161,159,160,160,158,157,157,157,157,159,161,162,162,163,164,164,164,165,165,164,163,165,164,164,163,163,162,162,162,161,161,159,159,158,157,157,159,160,161,163,164,164,165,166,167,165,164,166,168,164,165,165,164,164,163,162,163,163,162,160,159,158,158,157,159,163,162,164,166,167,167,166,168,171,153,134,154,170,165,167,166,165,163,163,164,163,163,162,160,160,159,158,161,163,165,166,166,167,167,168,168,195,176,146,107,153,171,166,167,165,164,165,164,164,164,162,161,161,160,159,162,162,164,166,166,167,169,171,164,186,198,168,120,95,168,168,168,166,165,166,166,164,164,163,162,161,161,160,164,165,165,167,168,169,170,170,169,174,197,172,132,76,133,177,166,168,166,165,165,164,163,163,162,162,162,160,164,165,166,170,169,170,171,173,167,173,190,164,125,79,106,179,167,168,167,165,166,165,164,163,163,163,162,161,164,166,168,170,170,172,174,172,180,206,183,157,143,104,113,169,167,172,172,169,167,166,166,165,164,163,163,162,165,167,170,171,173,173,172,172,211,199,170,152,162,172,167,156,148,150,156,165,170,168,168,165,165,164,162,163,167,169,170,172,173,175,168,196,207,176,134,113,134,171,187,185,175,163,141,142,146,159,166,169,166,164,163,163,169,172,171,172,173,172,182,218,201,183,154,111,94,126,162,176,183,182,171,160,152,156,145,146,159,168,167,163,171,172,171,174,176,172,205,210,188,173,157,152,132,124,129,137,144,156,167,177,182,186,170,140,133,130,157,167,170,171,172,175,174,182,209,196,164,142,142,134,159,163,147,136,122,107,117,133,144,166,176,169,153,122,118,148,169,171,174,177,175,203,224,203,164,139,132,125,131,164,171,163,145,114,94,135,152,146,145,146,145,145,141,149,172,174,174,173,186,218,220,195,167,152,154,155,150,135,143,158,156,133,118,112,171,176,167,157,146,141,138,140,172,173,175,174,201,217,207,181,159,158,170,168,168,149,91,126,129,133,136,109,154,179,174,175,174,169,161,158,173,175,173,189,213,214,203,168,142,123,153,182,182,178,110,127,106,107,109,124,174,175,175,174,173,173,172,171,173,172,178,209,210,222,203,165,139,125,113,145,157,169,163,141,120,114,106,169,177,175,175,174,173,172,171,170,173,171,191,212,217,224,192,159,148,147,147,136,113,136,176,154,134,110,157,183,175,175,176,175,172,170,170,168,174,176,207,213,220,208,190,165,157,153,151,143,133,128,127,127,119,142,180,177,177,176,175,173,173,173,171,170,171,187,215,213,211,203,187,173,160,160,158,143,126,120,123,100,151,182,178,177,178,177,176,175,174,172,171,171,170,199,214,210,210,198,177,163,145,145,152,144,134,129,118,141,189,180,178,177,178,178,177,177,175,173,174,172,174,207,210,205,203,191,177,147,118,105,111,124,123,126,143,177,183,181,181,179,178,178,178,177,176,174,174,173,187,208,199,192,190,172,146,120,104,82,137,176,164,172,185,182,182,182,182,181,179,177,176,176,175,174,172,172,204,204,184,179,167,144,121,108,103,91,175,191,187,186,183,183,183,183,181,180,179,177,177,177,174,173,173,172
18,209,209,209,209,210,211,212,212,212,211,212,212,211,211,210,209,210,211,211,211,210,209,207,206,204,203,201,199,209,210,211,212,211,211,213,213,213,213,212,212,212,210,211,211,211,212,211,211,210,208,207,208,205,203,203,203,212,212,213,213,213,214,213,213,212,213,213,212,213,213,213,212,213,215,211,214,210,208,208,208,207,204,204,204,213,214,214,215,215,217,215,215,213,212,214,214,215,213,213,214,213,221,206,201,214,210,209,209,207,206,205,204,214,215,216,216,215,217,217,218,215,215,216,215,212,215,217,215,213,243,207,164,197,214,212,210,211,210,208,205,216,218,218,217,217,218,217,218,218,218,219,215,233,234,200,210,244,254,231,179,182,209,208,212,210,209,208,208,218,218,219,218,217,219,219,221,217,219,217,234,255,237,196,175,226,243,249,234,235,222,173,172,211,208,208,211,218,219,219,219,220,220,222,218,224,248,210,228,255,228,203,166,223,222,250,249,248,231,174,123,191,214,210,211,220,221,221,222,222,221,217,225,255,255,206,177,254,224,194,173,238,208,210,241,253,226,167,114,157,218,210,210,220,219,220,221,219,222,217,255,255,254,213,177,254,231,192,172,242,223,174,245,255,229,157,110,142,223,212,213,222,222,222,222,224,218,240,255,255,255,219,173,251,240,194,177,248,218,183,255,255,227,152,103,159,226,212,213,224,226,225,226,224,224,255,248,254,255,227,176,243,235,192,164,224,199,182,255,255,216,145,100,192,223,215,216,225,226,225,227,224,251,255,241,239,247,220,168,205,217,185,133,161,154,208,255,248,199,137,119,222,218,218,217,226,226,227,224,235,255,249,210,215,208,171,130,163,188,148,89,177,219,249,255,233,187,125,168,229,218,219,218,228,229,230,226,240,255,252,211,189,185,146,106,182,184,119,192,255,255,243,227,217,173,125,209,226,220,219,219,229,230,232,224,252,255,252,224,178,168,148,97,200,170,215,255,255,253,223,198,197,152,123,220,224,224,222,220,228,230,233,228,255,255,254,232,205,172,160,147,141,212,255,255,255,245,206,177,170,125,157,235,222,225,222,223,231,233,232,235,255,255,255,239,220,188,174,174,205,255,255,255,255,226,186,161,152,103,187,235,225,226,225,224,233,233,231,239,255,255,255,250,235,202,196,218,255,255,255,255,248,208,169,151,123,131,226,229,228,227,226,225,233,234,230,240,255,255,255,255,245,223,214,238,255,255,255,249,236,194,158,142,105,197,238,227,228,227,228,226,232,233,230,237,255,255,255,255,247,229,222,233,255,255,247,243,207,182,144,116,129,234,230,230,228,229,229,225,232,233,233,236,255,255,255,255,243,227,225,228,253,243,230,231,193,160,128,96,188,239,229,230,228,229,228,229,233,234,233,235,255,255,255,251,234,220,221,228,241,226,217,215,189,138,107,117,231,231,230,230,231,229,228,237,232,235,232,237,255,252,240,237,222,210,213,219,238,219,206,197,162,117,83,180,243,231,232,231,230,229,230,185,237,237,237,247,255,252,243,239,226,225,215,218,245,206,181,163,128,80,119,236,233,233,231,232,236,241,175,106,182,173,159,206,255,254,251,243,243,249,212,216,238,182,152,130,87,85,223,237,233,233,238,233,207,165,117,104,131,130,122,127,134,135,139,143,151,172,157,176,186,150,125,101,62,188,247,242,242,242,203,145,116,101,94,86,152,117,118,121,113,108,100,93,80,75,75,79,79,72,67,65,58,92,115,145,199,198,106,108,112,105,96,85
4,125,129,133,136,139,142,145,147,149,152,154,155,156,157,158,159,159,158,157,158,157,157,156,155,155,155,155,153,126,131,134,138,141,143,147,148,150,154,155,157,157,160,160,159,161,164,162,159,160,159,158,157,156,156,156,155,127,132,136,139,142,146,148,150,153,155,156,156,156,160,164,169,144,120,151,165,162,161,159,159,159,158,158,156,128,133,137,141,143,146,148,152,156,159,157,166,150,117,152,196,151,93,89,177,163,162,162,161,161,160,159,157,129,133,139,142,146,148,150,154,155,152,169,205,165,117,103,197,153,104,72,149,146,164,165,162,161,161,160,159,131,135,140,144,147,149,151,152,164,163,151,191,179,132,86,180,160,101,36,83,111,99,165,165,163,162,162,161,132,137,141,145,149,151,151,160,197,194,134,117,192,149,84,162,163,95,28,85,123,66,99,175,163,165,163,162,131,138,141,144,149,154,151,173,193,182,122,93,180,133,69,127,139,76,28,94,124,76,53,171,166,166,164,164,133,138,142,148,149,152,152,173,174,173,120,82,157,117,62,86,114,69,42,128,131,73,50,171,168,165,164,164,135,139,143,148,150,155,152,173,167,150,130,92,137,112,65,45,93,44,75,165,117,53,58,175,168,165,165,166,135,140,145,149,152,157,154,175,188,152,136,111,109,151,98,70,90,53,79,126,88,30,61,179,168,170,167,166,136,141,146,150,152,156,154,179,200,171,128,67,75,149,118,142,114,120,126,141,127,61,67,183,168,171,169,167,137,142,146,150,152,157,155,189,195,151,114,76,54,56,76,141,117,144,160,171,152,76,79,183,169,172,170,169,137,142,147,151,154,157,156,195,179,127,95,71,53,48,46,89,120,133,145,149,128,80,62,172,173,173,170,170,138,143,148,151,155,158,160,201,183,142,109,72,58,59,73,77,88,103,106,114,118,98,46,144,181,171,170,170,138,143,148,153,155,158,165,202,180,140,97,75,65,59,73,103,87,122,134,133,135,110,54,98,187,170,173,171,140,144,150,154,156,158,169,202,177,133,94,71,70,61,81,109,115,173,170,176,166,122,74,48,171,177,175,173,141,146,150,154,160,158,171,199,174,134,103,85,76,73,83,103,155,185,188,180,179,135,84,34,137,186,174,175,140,147,150,153,158,158,172,192,168,138,109,97,84,80,79,137,190,187,190,161,156,119,79,36,143,184,174,175,139,144,149,151,156,158,169,188,165,143,112,90,76,84,106,185,197,192,172,148,123,96,52,67,178,175,174,175,138,144,149,151,157,159,166,190,177,136,98,91,84,101,141,201,194,179,148,126,96,68,33,136,184,173,174,174,140,145,149,153,157,162,163,187,178,146,127,124,94,107,163,197,183,162,133,105,80,39,76,185,175,177,175,175,141,145,150,154,158,162,162,183,181,155,130,131,99,94,180,184,166,139,114,87,60,31,151,184,177,177,175,175,141,146,150,153,157,163,158,184,188,160,137,131,97,101,175,167,141,116,87,66,30,83,189,177,178,177,176,176,141,147,152,153,158,162,156,199,194,165,136,119,80,102,158,147,116,90,64,45,30,160,183,177,176,178,176,175,141,147,151,154,161,153,177,205,184,151,127,91,70,111,134,103,70,58,45,21,117,187,176,178,177,176,176,175,137,143,148,152,155,153,201,197,182,162,128,96,92,115,103,64,51,53,31,94,184,176,178,177,177,178,176,178,96,100,99,100,89,145,205,187,181,160,122,107,103,103,86,57,58,57,38,91,104,102,103,101,102,104,105,106
1,181,181,182,182,183,182,182,183,182,180,180,180,179,177,176,174,173,171,171,171,170,169,166,166,163,104,44,29,181,182,184,183,185,185,183,183,183,182,181,181,180,178,177,176,171,150,169,173,172,170,169,167,165,80,39,31,183,184,186,186,186,187,186,185,185,185,183,182,181,180,167,155,169,119,145,172,172,171,170,168,166,66,44,34,185,186,187,188,188,188,187,186,186,186,184,183,182,184,159,100,137,115,109,143,149,173,171,169,167,86,43,26,187,187,189,189,189,189,188,188,188,187,184,181,175,187,154,92,110,110,103,139,103,169,172,171,170,88,38,27,188,189,190,191,192,191,189,188,189,188,187,174,131,141,141,85,124,124,102,140,90,157,173,172,170,99,38,34,189,190,192,193,193,193,192,191,190,189,191,164,110,102,143,87,125,131,86,131,86,149,174,173,171,136,86,92,190,192,193,194,193,194,194,193,192,191,193,157,101,101,134,85,103,116,86,148,96,139,176,175,173,149,149,148,192,194,195,195,195,195,195,194,193,192,200,162,108,95,116,78,101,103,87,150,103,123,178,177,175,149,147,117,193,195,196,196,196,196,196,196,195,193,205,152,105,99,117,79,120,111,85,138,100,119,180,178,176,160,146,102,195,196,198,198,198,198,198,197,197,195,201,149,105,110,127,85,108,109,83,133,99,123,181,180,177,171,154,137,196,197,199,200,200,199,200,199,198,198,206,155,121,91,107,70,86,88,99,140,109,124,182,180,179,175,160,150,197,199,200,200,200,200,200,199,199,200,197,151,109,75,74,61,76,62,104,132,105,119,183,181,180,178,172,150,198,200,201,202,202,201,201,200,200,203,190,153,129,121,107,100,83,86,110,113,86,131,184,182,180,179,177,167,200,201,201,202,202,202,202,202,201,213,200,166,155,127,167,132,127,120,138,112,70,162,185,185,182,180,179,178,201,202,202,204,205,204,204,204,203,221,191,163,134,103,148,147,152,137,134,113,86,176,186,185,183,181,180,178,201,203,204,206,206,206,206,205,207,221,181,139,113,90,79,120,143,131,140,128,96,148,187,186,184,181,180,178,203,204,205,207,207,207,208,206,211,225,189,152,123,86,73,70,101,114,162,154,111,108,188,186,185,183,181,179,205,206,206,207,208,208,208,207,214,220,188,164,120,96,86,76,143,135,148,169,126,83,171,187,186,185,183,180,206,207,208,209,209,210,209,208,215,216,187,166,110,102,83,121,178,169,147,152,129,82,128,188,186,186,183,181,206,208,210,210,210,210,211,209,214,214,192,166,107,107,91,168,188,172,150,126,110,87,107,189,188,186,183,181,208,209,210,211,212,211,212,211,214,213,193,154,114,100,115,188,189,168,138,122,91,74,137,189,188,187,185,182,208,210,211,212,212,213,213,211,214,209,189,150,128,93,138,189,180,157,128,111,89,69,176,191,189,187,185,185,209,210,211,213,212,212,211,210,209,203,184,156,136,93,153,185,167,145,124,101,75,102,192,193,190,188,186,187,207,209,210,210,209,210,210,209,205,198,181,163,144,100,153,176,153,136,118,87,64,162,193,191,189,187,185,181,208,209,211,212,212,212,212,209,203,199,180,168,139,97,144,159,137,122,100,68,105,191,194,192,189,189,184,138,209,211,212,212,213,203,187,205,193,188,178,166,117,93,121,136,117,100,73,77,180,195,194,191,182,163,121,68,209,211,211,213,215,153,79,115,156,161,153,127,88,90,104,114,94,73,55,158,197,197,179,126,82,56,47,48
7,112,121,130,136,140,143,148,154,158,162,164,167,170,172,174,176,177,178,180,180,181,181,181,181,181,182,182,180,112,121,131,138,141,144,149,155,159,162,165,168,171,174,175,177,178,179,181,182,182,182,182,183,183,183,182,181,112,122,132,139,143,145,151,156,160,163,166,169,172,175,176,178,179,180,182,184,184,184,184,183,183,184,183,182,113,122,132,140,144,147,152,157,161,165,168,171,173,175,177,180,181,181,183,184,184,185,186,185,185,186,184,184,113,123,132,140,145,147,152,157,161,166,169,172,174,176,178,180,182,183,183,185,186,186,186,186,186,186,185,186,114,123,133,141,145,147,152,157,162,167,170,173,174,177,180,182,183,184,184,186,187,187,187,187,187,187,187,186,114,124,133,142,145,148,153,158,163,167,170,173,175,178,180,183,185,185,186,187,188,188,189,188,187,187,188,187,115,124,135,142,144,149,154,160,164,168,171,174,176,178,181,183,185,186,187,189,190,189,190,190,189,189,188,188,115,125,135,144,146,148,155,169,176,174,176,182,184,186,184,179,177,182,180,180,178,179,186,190,190,190,190,189,116,126,136,144,148,162,184,197,194,181,177,188,197,198,194,180,179,192,183,172,164,154,170,173,188,192,192,190,117,126,138,156,180,197,201,198,193,176,162,168,179,184,182,167,167,179,175,166,157,150,158,151,184,194,193,191,118,138,171,194,202,199,199,201,191,169,158,170,187,192,194,179,170,176,172,179,176,163,157,163,171,177,187,192,162,191,203,201,204,201,200,201,188,158,143,148,171,177,179,176,176,172,175,182,182,174,169,171,163,172,166,181,205,206,207,205,208,203,203,206,195,145,118,120,120,114,121,133,142,148,151,152,155,156,155,156,151,158,156,182,211,212,209,206,206,204,206,210,182,131,108,110,110,91,77,87,150,171,176,177,175,173,171,171,170,173,182,191,212,209,207,203,205,205,206,201,161,115,107,112,113,106,94,84,165,192,193,195,195,195,195,195,195,196,195,194,206,206,207,206,207,207,209,201,153,105,93,98,114,128,113,93,143,194,193,194,196,196,195,196,195,196,195,194,206,210,209,207,209,209,213,196,145,104,93,72,77,112,116,106,146,193,195,195,196,197,196,195,195,195,195,194,206,204,201,196,190,189,191,160,129,107,100,92,82,103,122,139,172,185,187,188,188,189,188,187,187,187,186,185,191,190,184,175,166,169,164,136,120,111,107,96,95,106,118,124,127,126,126,127,128,126,124,124,124,122,120,119,170,170,164,157,151,147,139,117,110,105,109,104,103,104,104,103,102,102,101,101,102,101,102,102,102,100,97,95,133,142,140,132,122,115,111,109,108,107,109,109,109,109,109,108,106,110,110,107,107,105,103,104,103,102,100,100,110,112,108,104,105,108,109,109,108,108,108,108,108,108,107,107,106,110,111,109,110,106,103,103,102,103,102,102,92,88,93,105,108,110,110,109,109,109,109,109,109,108,108,108,107,107,105,106,108,105,104,103,102,101,102,100,101,93,95,106,110,111,110,110,111,110,111,111,110,109,109,110,109,108,106,107,107,106,105,103,102,102,101,120,113,100,96,103,109,110,110,110,110,110,111,111,109,109,109,109,109,108,107,106,106,105,105,104,103,102,117,181,105,98,97,99,108,110,110,109,110,110,111,111,110,109,109,109,109,108,107,107,106,105,104,104,104,110,174,190,106,101,96,94,106,110,110,110,110,110,109,109,109,108,108,108,108,107,107,107,106,105,105,104,117,159,177,167
0,207,208,209,211,212,214,217,216,217,218,219,219,219,220,223,221,223,223,222,223,223,223,223,223,224,223,223,223,208,209,212,213,214,215,217,218,218,219,220,221,221,223,224,223,224,224,224,224,225,224,225,225,224,224,225,224,207,210,212,215,217,217,218,220,220,222,222,223,224,225,224,223,225,226,225,224,225,226,226,226,226,225,225,226,208,210,213,215,216,217,219,220,222,224,223,225,225,224,224,227,227,225,225,226,227,228,225,228,228,228,227,229,210,213,215,216,217,218,220,222,223,223,226,227,226,232,236,222,222,233,243,222,224,247,207,224,231,230,230,228,213,214,216,217,219,222,222,223,222,234,254,222,204,253,245,208,189,244,248,216,197,247,206,201,236,228,229,230,213,215,218,219,221,222,223,227,224,255,254,230,180,220,243,221,178,199,247,223,179,221,227,185,226,231,230,232,215,216,218,220,223,221,249,241,210,255,248,240,194,208,243,230,187,199,250,226,170,184,236,199,187,219,235,231,216,217,219,222,217,238,255,243,207,235,255,238,207,207,244,233,186,208,249,214,174,141,222,219,201,176,216,236,214,218,220,222,218,255,255,251,222,219,255,236,208,200,251,238,175,210,243,195,162,108,192,234,218,170,197,243,217,219,222,220,228,255,255,255,232,205,253,237,203,198,254,232,167,176,212,183,138,122,224,242,223,174,212,242,217,220,222,217,240,250,242,255,234,195,239,235,196,187,240,218,168,145,186,177,114,166,249,240,216,174,234,239,219,221,223,218,255,255,238,240,203,164,211,217,188,164,197,193,162,137,190,172,146,230,246,231,186,183,243,238,219,222,223,233,255,248,214,222,181,146,189,199,183,142,167,181,135,162,225,227,232,232,228,209,172,203,245,239,221,224,217,244,255,249,219,206,194,158,176,207,189,129,149,180,197,247,252,244,231,211,199,188,167,214,243,239,224,226,220,238,255,255,240,210,195,172,178,222,186,126,168,244,255,255,249,238,221,199,182,176,158,230,243,241,225,226,224,239,255,255,248,232,211,197,202,214,200,216,255,255,255,249,240,227,206,186,177,160,194,247,240,242,224,227,224,243,255,255,254,242,233,210,215,230,250,255,255,255,254,242,225,210,191,180,164,181,244,242,243,242,224,228,224,243,255,255,255,251,243,229,226,242,254,255,255,255,247,234,214,192,178,168,162,234,245,244,244,243,225,228,225,242,255,255,255,255,248,238,232,238,251,255,255,248,241,222,198,179,170,155,213,250,242,244,244,244,224,228,230,238,255,255,255,255,242,231,230,232,243,251,245,232,223,208,183,174,151,194,252,244,246,246,246,245,225,229,230,231,255,255,255,249,237,224,225,229,237,238,226,214,199,187,172,150,180,251,246,247,246,246,246,245,228,233,235,230,254,255,254,245,234,223,230,237,239,233,217,201,180,164,139,159,245,249,247,247,248,248,246,247,213,205,205,193,195,200,188,179,175,171,181,184,180,176,165,161,154,140,148,247,250,245,248,248,249,249,248,247,177,167,168,163,151,150,148,137,132,120,116,108,103,105,101,101,105,108,133,198,246,249,248,249,249,249,248,248,168,171,168,164,159,155,149,139,132,124,120,109,105,104,101,98,97,100,100,85,189,255,246,249,249,249,248,248,176,169,171,167,161,151,147,139,128,123,116,108,103,102,99,95,97,97,102,87,210,255,247,249,249,249,250,251,188,171,172,166,161,151,146,137,125,123,115,108,104,101,98,96,95,98,90,131,255,248,249,249,250,250,251,252
22,202,204,205,206,206,206,206,208,207,207,208,208,208,207,208,208,207,207,208,207,205,206,205,206,188,109,72,72,204,205,207,207,207,209,210,210,210,210,211,211,211,210,210,211,211,210,211,210,208,207,206,208,192,99,79,87,206,208,208,209,210,211,211,212,212,213,214,212,213,212,212,212,213,214,212,212,211,210,209,207,212,138,80,98,207,210,211,211,211,212,213,214,214,214,215,215,213,214,217,214,214,215,213,216,214,213,212,209,214,172,87,90,209,212,213,213,213,215,216,216,217,216,217,216,222,197,203,220,216,219,208,188,218,214,214,212,212,212,106,80,211,213,214,214,217,217,217,218,219,218,218,216,234,189,178,227,217,224,214,151,217,217,217,214,212,194,123,61,213,214,216,217,218,219,218,219,220,220,220,218,234,188,170,230,219,222,202,148,215,219,218,215,226,160,143,117,213,215,217,219,218,218,221,220,221,222,222,219,240,204,162,228,221,222,206,153,211,222,219,222,218,148,173,182,215,218,219,220,221,220,222,222,223,224,224,219,241,227,160,224,223,225,213,161,214,223,218,229,201,154,175,203,216,218,220,222,223,222,223,224,224,224,224,222,236,245,163,219,227,223,206,164,218,225,222,240,194,159,208,202,217,219,220,221,222,223,224,224,224,224,225,223,232,255,166,202,231,220,206,162,216,226,227,239,177,173,228,179,218,219,221,223,224,224,224,224,224,226,225,225,230,255,199,174,233,223,217,168,214,226,235,226,156,187,231,193,219,220,223,223,224,225,226,226,226,228,227,227,227,254,224,159,220,220,216,169,217,230,238,212,146,206,228,217,221,222,224,225,225,225,226,227,228,227,228,230,225,244,217,177,183,176,212,186,225,238,235,189,156,227,224,223,221,222,223,224,225,225,226,227,228,229,229,230,232,253,227,207,202,130,170,201,215,214,215,163,185,233,223,224,220,220,221,224,224,224,226,226,226,227,229,226,244,236,243,206,214,179,149,154,175,179,176,147,219,229,225,224,219,220,223,224,225,225,227,226,226,227,228,229,244,204,227,204,182,218,203,148,130,161,147,153,233,224,225,223,220,221,224,224,225,226,227,226,227,230,228,238,247,221,210,205,134,194,213,188,141,130,131,161,234,223,224,223,218,221,223,224,224,225,226,227,228,230,228,243,241,204,173,204,135,120,195,212,189,136,114,176,235,225,224,223,224,226,229,229,227,229,230,229,231,233,228,240,244,200,174,179,153,107,167,232,222,184,119,193,234,225,224,223,196,199,202,206,209,212,216,218,221,225,223,234,253,211,179,154,166,175,219,223,235,209,154,163,240,234,233,231,131,132,133,136,136,137,140,140,143,148,140,200,255,233,177,160,188,231,246,233,228,206,174,142,188,187,187,195,135,136,137,137,135,135,135,135,135,138,125,191,255,250,179,167,184,237,248,241,220,194,155,127,131,152,180,207,137,135,135,136,138,138,138,139,139,140,133,190,255,252,182,182,179,239,252,240,215,190,136,165,228,232,239,243,135,135,134,134,136,136,137,138,139,141,133,171,252,250,195,199,175,234,255,229,207,178,128,191,238,225,225,236,134,135,135,134,135,136,136,138,138,139,135,147,242,248,212,199,179,220,247,211,189,157,128,185,206,222,223,225,133,134,135,135,136,135,135,138,138,137,139,134,221,246,218,190,174,198,232,193,164,137,133,205,172,184,209,223,133,134,135,135,139,136,135,137,138,138,139,132,212,232,201,179,162,165,207,177,148,126,148,221,168,169,200,219
7,196,201,207,210,213,215,216,216,215,218,219,219,219,219,218,218,218,218,217,216,215,213,218,196,220,235,229,236,202,208,212,215,218,219,220,221,222,223,224,223,223,222,220,219,219,218,218,217,216,215,214,214,228,173,241,235,210,214,218,221,224,225,226,228,227,228,229,228,226,226,224,225,225,222,222,220,219,218,215,219,208,182,246,236,217,220,224,228,231,230,233,233,233,233,233,233,232,231,230,230,228,227,226,224,223,221,221,216,225,246,228,235,222,227,231,234,236,238,239,239,240,239,238,238,237,237,236,235,233,233,232,229,228,225,222,221,223,205,180,237,227,233,237,240,242,244,245,245,244,244,244,246,244,243,242,241,241,239,237,235,234,232,228,226,226,214,206,240,232,238,242,245,247,250,250,250,250,249,251,250,249,249,247,245,246,245,243,242,239,236,233,230,229,225,226,242,237,242,248,250,252,253,255,255,254,254,254,254,253,252,252,250,249,250,248,245,244,241,239,237,234,231,234,252,243,247,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,249,247,245,243,242,238,235,235,255,249,253,255,255,255,255,255,231,212,229,236,241,240,237,234,230,241,250,255,255,255,254,249,244,243,236,238,255,252,255,255,255,255,255,246,202,141,163,198,215,206,207,205,194,183,193,202,200,220,231,246,252,246,250,248,255,255,255,255,255,255,250,240,203,168,169,175,190,189,193,196,186,161,177,182,175,187,191,224,222,255,209,211,255,255,255,255,255,255,254,242,198,156,171,175,184,179,182,191,182,162,157,162,173,181,187,216,194,234,93,163,255,255,255,255,255,255,255,234,194,135,146,167,189,199,190,196,178,177,168,179,192,171,173,175,192,202,116,110,203,255,255,255,255,255,251,234,176,140,157,163,175,174,175,176,176,169,160,173,189,177,178,177,201,219,186,108,91,255,255,255,255,255,255,254,204,131,129,124,112,152,174,161,157,156,164,172,179,169,165,163,162,183,155,110,98,255,255,255,255,255,247,255,216,128,117,124,109,144,218,255,255,255,255,249,180,109,112,111,107,109,101,99,100,255,253,252,255,237,240,240,191,137,127,131,132,118,101,242,255,189,154,111,86,85,78,77,94,91,93,99,97,254,253,246,239,233,230,229,189,131,116,132,146,141,122,111,91,74,80,97,95,84,87,82,82,86,84,96,99,247,243,235,231,231,231,244,204,126,94,79,121,132,117,114,95,87,74,91,103,85,73,85,84,82,90,84,58,232,227,233,232,231,229,228,198,127,102,91,98,125,136,141,97,85,85,69,93,98,78,67,78,82,97,56,27,221,214,214,209,204,202,184,154,129,117,108,93,67,93,102,66,68,97,75,70,90,97,74,63,71,71,65,56,210,194,175,168,163,160,157,134,123,107,76,104,60,51,81,85,59,83,90,71,75,88,90,66,66,64,67,64,192,186,160,154,143,167,173,106,76,91,48,90,87,44,68,91,73,63,89,85,71,73,87,80,60,65,64,64,158,161,167,179,224,255,122,100,75,83,59,65,97,54,49,83,88,61,75,89,76,71,70,83,63,59,65,62,149,255,255,255,255,157,85,107,88,62,71,50,85,76,37,71,91,71,67,78,81,70,63,70,74,51,59,63,92,222,209,222,173,88,100,83,72,76,62,47,62,89,40,51,85,81,71,73,74,71,62,61,73,59,49,59,70,165,162,145,111,92,87,85,54,77,68,38,46,89,58,36,74,86,72,73,69,68,60,58,62,67,48,51
19,206,207,209,212,211,213,216,216,217,217,218,218,216,216,215,217,218,214,214,213,212,212,210,210,209,208,207,207,207,210,211,214,215,216,218,219,218,218,218,219,218,216,216,194,197,219,215,214,215,215,214,214,211,210,209,209,208,211,214,216,218,219,219,220,221,220,221,220,217,229,223,172,118,202,221,215,216,216,216,215,213,210,209,211,209,212,216,217,219,220,221,221,220,220,221,222,217,241,220,179,110,165,231,215,217,217,216,216,214,212,213,212,211,215,218,218,220,221,223,224,223,222,223,223,221,246,215,182,113,151,232,216,219,218,218,217,215,214,214,214,214,217,219,221,224,223,226,225,226,225,225,224,226,245,202,171,103,144,235,218,221,219,217,215,217,215,216,215,216,219,221,224,225,225,226,226,226,226,227,224,231,245,185,141,98,147,233,212,216,208,224,231,200,217,217,217,217,220,224,224,226,226,227,227,226,227,227,224,230,238,199,174,193,215,222,207,230,208,255,255,152,216,217,218,218,222,224,225,227,231,230,229,227,227,233,236,234,224,225,223,243,247,230,213,228,218,205,183,163,225,218,219,221,223,225,228,230,230,230,229,237,246,253,255,254,233,207,198,198,197,181,161,151,150,148,169,218,223,222,221,224,226,227,230,228,238,241,235,251,255,255,249,230,217,206,196,153,112,136,158,183,198,222,230,224,223,223,221,225,226,229,230,237,255,249,243,240,239,239,235,236,235,234,239,179,114,227,233,235,231,228,225,224,224,223,222,226,228,233,228,247,255,253,249,239,243,250,251,247,238,234,221,169,97,214,232,227,228,228,226,226,224,223,224,228,231,234,232,244,255,251,241,247,255,254,255,245,231,226,203,148,84,168,243,227,232,228,228,227,226,225,224,230,233,234,233,244,255,235,230,238,249,253,238,226,236,243,242,173,89,111,236,233,232,231,229,227,227,226,225,231,234,238,235,253,245,226,227,228,213,213,238,255,245,235,247,173,93,86,212,239,233,232,231,231,230,228,227,232,236,238,237,252,227,228,234,230,214,240,254,236,224,225,216,154,99,73,189,246,233,234,234,232,232,231,230,232,236,239,239,243,245,251,247,253,255,255,239,229,222,208,180,129,93,71,209,242,235,235,235,234,234,232,231,234,238,240,241,238,255,255,248,244,247,245,230,210,204,222,230,178,74,149,248,235,236,236,237,236,235,233,232,235,237,240,243,238,253,255,239,230,220,187,179,224,251,250,250,205,90,186,251,236,239,236,238,236,235,235,234,235,240,242,244,244,235,252,232,223,212,205,234,255,239,212,207,178,94,126,254,238,241,238,239,238,235,234,234,237,239,242,245,247,240,239,255,253,243,251,252,232,211,197,183,145,71,165,255,240,242,241,239,237,236,235,234,236,239,242,245,250,243,235,255,255,230,228,229,214,195,171,131,123,172,237,246,243,243,243,241,239,238,238,235,236,240,242,246,250,245,232,242,242,214,214,204,181,155,115,79,212,255,244,245,244,243,242,241,240,240,239,236,236,239,241,244,247,243,223,234,230,199,187,166,138,112,95,82,192,254,242,243,243,242,241,240,239,238,238,236,238,241,243,245,248,247,218,222,222,189,172,169,150,104,98,83,133,255,242,244,243,242,240,241,240,239,238,236,239,242,243,247,249,247,221,213,211,187,162,142,123,100,96,82,131,255,243,244,244,241,240,242,242,239,238,236,239,243,245,247,250,243,220,221,204,200,171,139,112,105,100,80,141,255,245,246,245,243,242,242,242,241,240,238
22,86,90,97,106,115,123,129,132,136,141,145,149,151,153,157,159,159,161,161,160,160,161,159,158,158,158,157,156,87,91,98,109,118,126,131,134,138,143,147,151,154,157,159,161,161,163,164,164,164,164,163,161,161,161,160,159,88,93,98,110,119,128,133,136,141,147,151,155,157,158,161,163,164,165,166,166,166,166,165,165,165,164,163,163,89,93,99,111,121,130,136,138,142,148,154,154,161,161,163,165,166,168,168,170,173,170,169,169,167,170,167,166,89,94,102,113,123,134,139,140,145,150,154,179,137,155,168,167,169,171,175,163,152,176,172,170,171,152,167,168,90,93,102,115,125,135,139,142,147,150,164,207,113,138,174,168,172,172,192,150,98,178,173,183,171,97,143,177,90,93,102,116,126,135,140,143,150,152,168,214,125,132,179,170,174,179,194,127,99,185,176,193,162,91,159,178,91,94,103,118,129,138,142,144,152,155,166,219,145,127,181,175,175,191,194,105,131,189,195,186,119,111,184,175,91,95,105,118,130,140,143,147,155,158,167,224,165,120,180,178,178,187,173,93,156,193,205,174,104,158,185,178,92,95,106,120,131,140,144,148,156,161,167,218,169,113,172,181,184,195,154,83,180,204,179,137,115,187,181,180,93,95,107,121,132,141,147,150,157,164,165,213,191,125,160,184,194,212,139,87,221,218,171,98,152,191,182,183,92,96,107,121,133,143,149,152,158,167,165,209,205,143,149,190,192,200,90,126,240,208,149,102,188,185,187,185,93,96,109,122,134,145,149,152,160,168,167,190,199,131,107,175,181,187,157,204,212,184,104,130,200,187,188,187,95,97,109,123,135,147,151,153,161,168,171,171,197,128,133,183,189,197,217,211,193,138,84,179,195,190,188,188,94,97,110,125,137,147,151,156,160,173,190,141,184,155,159,210,186,204,203,204,170,96,128,205,192,193,189,190,93,97,111,126,137,149,152,156,158,195,199,166,148,154,137,165,185,204,198,179,142,90,168,204,194,194,192,192,94,98,111,126,138,149,153,159,162,191,190,193,182,178,134,77,136,178,175,140,128,88,184,203,197,196,194,193,94,98,113,126,139,150,154,159,162,184,197,171,179,166,127,106,81,92,120,119,106,89,199,202,200,198,196,195,93,99,114,127,142,150,155,160,162,191,190,167,148,138,152,139,113,84,79,74,99,85,196,204,200,198,198,197,94,98,113,129,141,151,156,161,164,186,229,197,144,134,149,158,137,115,109,80,66,77,190,205,201,200,199,199,94,99,113,128,141,151,156,160,166,179,239,187,167,165,192,202,155,131,121,75,55,67,194,205,202,201,200,199,94,99,114,129,142,152,156,160,168,175,236,199,176,202,228,218,172,140,117,73,51,80,207,203,203,202,200,201,94,98,114,129,143,154,156,160,170,173,228,211,178,198,228,193,171,128,109,79,46,105,217,203,205,202,202,201,92,98,114,129,143,152,156,162,171,171,215,223,196,190,228,179,173,153,108,80,45,114,220,204,206,204,202,201,90,97,115,129,143,152,156,162,171,172,199,226,204,175,220,188,166,158,110,72,44,133,219,205,207,205,203,202,88,96,114,129,142,152,154,161,171,179,195,220,207,161,196,182,151,137,93,64,51,172,215,205,206,204,203,202,87,95,114,129,142,152,155,162,172,167,137,197,197,144,147,147,120,101,74,62,77,206,209,206,207,204,204,203,86,93,112,128,142,152,155,160,179,102,7,158,181,125,136,142,126,96,81,57,106,220,207,207,207,205,204,204
24,137,139,140,141,143,145,146,146,146,148,146,147,146,147,145,145,145,146,145,144,144,143,142,140,140,140,139,139,138,139,142,143,144,145,147,148,147,148,147,148,147,148,146,147,147,146,146,145,145,145,144,143,141,139,139,138,139,140,142,143,148,147,147,149,149,149,149,149,149,149,149,149,148,146,146,146,146,145,144,144,143,140,139,139,140,142,142,147,130,145,149,150,150,150,151,150,150,150,150,149,149,147,147,147,146,146,145,145,144,142,141,141,141,143,145,158,96,134,154,150,150,151,152,151,151,150,150,149,150,149,148,148,147,146,146,146,144,143,143,143,143,143,150,148,88,136,153,151,152,152,153,154,151,150,151,151,151,150,149,149,148,147,146,145,145,143,143,144,143,142,152,145,88,135,155,152,153,152,149,145,155,152,152,152,151,150,149,150,150,152,150,146,146,145,144,144,144,144,154,150,90,136,158,153,155,158,154,115,119,155,154,152,153,152,151,142,131,118,141,150,146,145,145,145,145,145,154,147,93,125,154,151,128,151,162,141,90,99,155,155,153,152,134,105,93,79,116,154,147,146,146,146,145,145,153,145,143,142,142,165,112,120,168,145,93,70,117,161,154,147,108,80,87,122,144,151,149,148,148,147,146,147,152,161,174,157,159,169,128,107,165,139,85,65,81,150,160,134,89,83,147,157,153,151,150,149,149,148,147,149,153,154,180,159,164,171,129,82,131,108,79,55,80,142,147,108,79,130,160,151,152,152,151,150,150,149,148,150,152,159,183,160,172,177,127,80,45,100,129,117,136,143,115,84,100,161,154,154,153,153,152,151,150,149,148,151,151,178,176,145,149,161,108,69,82,162,161,150,138,132,101,79,144,161,156,156,156,154,152,152,150,150,149,150,155,168,155,134,103,104,86,126,179,171,155,139,124,112,93,103,163,157,157,157,156,155,154,153,152,151,151,149,164,166,153,136,115,81,146,191,178,170,151,128,109,99,86,138,165,157,157,157,157,156,155,154,153,152,151,149,171,179,158,137,128,149,194,182,176,166,140,115,100,93,91,158,162,159,158,158,157,157,156,155,155,153,151,150,178,182,164,153,162,191,189,182,172,154,127,101,99,80,117,168,160,160,161,160,158,158,157,155,154,154,152,150,181,183,170,170,186,192,183,176,161,138,110,96,90,89,158,165,162,161,161,160,159,158,157,156,156,155,152,150,180,187,174,180,193,183,166,157,143,119,101,94,84,144,169,163,163,162,161,160,160,159,158,157,157,156,153,151,179,192,177,170,176,170,154,139,126,103,96,81,137,171,164,163,163,163,161,162,161,160,159,158,157,156,154,152,172,186,170,168,175,173,157,141,123,100,75,100,169,166,167,166,164,163,162,162,163,161,160,159,158,157,153,154,162,168,157,170,175,171,157,137,118,90,61,133,171,166,166,167,166,164,162,162,162,162,161,161,160,157,152,156,157,164,170,175,169,163,157,134,112,79,71,154,170,167,167,168,167,165,163,163,163,162,162,160,160,158,151,154,155,172,179,167,165,160,150,130,110,77,80,163,167,166,166,166,166,164,163,163,163,162,162,160,160,159,151,154,153,176,177,158,169,152,143,130,108,83,74,159,167,166,166,166,164,163,163,164,162,161,161,160,159,158,152,155,153,181,178,157,171,148,145,130,104,84,70,150,171,167,167,167,165,163,163,163,162,161,161,160,158,157,151,154,154,182,180,162,171,155,143,127,103,85,67,142,172,167,168,166,166,164,163,163,162,162,161,160,159,158
10,5,44,46,50,56,62,71,82,91,94,98,102,106,111,115,116,121,120,123,125,125,125,125,126,127,126,125,124,11,46,47,52,58,63,73,83,92,97,101,105,111,114,117,120,122,134,122,126,128,127,128,128,127,127,127,126,16,48,48,53,58,63,75,86,94,100,104,110,115,118,121,120,130,169,101,113,134,129,131,130,129,129,129,128,23,48,50,55,59,65,77,89,98,102,107,113,117,120,124,123,137,167,112,94,139,132,134,133,133,132,132,130,28,49,51,56,60,66,79,91,101,102,108,115,120,124,127,127,134,170,137,88,138,136,136,136,135,135,134,132,34,49,52,56,60,68,81,94,100,119,116,113,126,128,130,131,132,178,166,90,132,141,139,138,136,137,136,135,40,50,53,56,61,69,82,95,104,172,114,68,115,131,133,136,134,175,167,96,121,147,141,141,140,140,139,137,44,50,53,57,63,71,84,96,105,139,99,64,60,142,117,107,141,169,176,102,108,152,143,144,143,143,142,140,46,49,53,58,64,71,85,99,108,114,106,81,68,135,85,81,144,173,186,109,92,155,146,147,145,145,144,143,49,51,54,59,64,72,87,100,111,115,120,111,106,147,83,38,136,170,153,99,70,151,150,150,149,147,147,146,51,52,55,59,63,73,89,102,112,117,121,135,120,150,98,37,97,155,96,74,54,143,154,150,151,151,149,148,52,52,55,60,63,74,91,105,114,118,122,132,126,153,120,87,56,82,67,71,49,135,159,154,155,153,151,150,53,53,55,60,64,75,91,106,116,119,124,135,148,115,143,131,103,47,40,60,49,113,167,156,157,156,154,153,54,54,55,59,64,76,92,106,118,121,122,157,163,91,99,171,140,107,60,48,44,76,169,158,160,159,157,156,54,54,55,60,65,77,94,108,119,122,130,151,175,133,47,131,173,136,108,43,32,53,166,163,163,161,160,158,54,54,55,60,64,77,95,110,118,132,178,121,154,124,61,116,187,150,119,49,25,54,166,166,164,164,162,161,55,53,56,61,64,78,96,112,117,141,197,126,101,139,97,173,174,140,118,63,32,31,148,173,166,167,165,164,55,54,56,61,64,79,97,112,121,129,174,147,86,169,152,188,177,135,112,70,40,25,144,177,169,169,166,166,55,55,56,60,64,79,98,112,124,123,154,151,94,172,117,163,180,145,100,66,46,31,154,176,171,172,169,167,55,55,56,61,64,81,99,115,124,125,151,170,137,134,59,180,176,133,95,64,49,40,163,177,172,173,173,170,56,55,55,59,64,82,99,114,125,130,131,184,184,124,98,196,167,128,91,60,50,46,169,178,174,174,172,171,55,55,56,59,64,81,99,116,126,130,134,160,203,190,170,187,155,118,85,62,53,54,177,178,176,175,173,173,56,54,55,59,64,82,100,116,126,130,136,150,199,196,170,156,138,107,83,70,50,73,186,177,178,177,175,173,56,53,53,57,63,81,99,114,125,128,137,139,131,188,146,121,133,118,100,87,48,94,188,175,178,177,175,174,54,52,52,55,61,81,99,115,124,127,142,128,14,171,128,139,146,144,133,102,40,95,189,176,178,178,176,174,53,49,50,54,59,80,99,114,125,126,144,118,0,134,181,158,131,138,125,78,23,17,183,181,180,178,177,175,49,46,47,51,57,77,96,114,123,127,144,92,0,68,143,126,103,105,78,25,0,48,193,178,180,178,177,175,55,50,51,51,58,76,95,112,121,126,138,74,0,26,25,18,10,11,0,0,0,98,194,176,178,178,177,176
7,207,206,207,207,207,207,207,206,205,205,204,203,202,201,199,198,198,196,195,192,191,190,188,186,184,182,180,178,208,208,208,208,208,209,208,208,207,207,206,206,204,203,203,201,200,199,198,195,193,193,191,189,187,185,182,180,209,209,209,210,211,210,210,210,209,209,209,208,207,206,204,202,202,201,200,197,196,194,193,191,188,188,185,183,210,211,211,211,213,212,212,213,211,211,210,210,208,208,206,204,205,202,201,200,198,197,196,193,191,190,187,185,213,213,214,213,214,214,215,215,213,213,211,211,210,209,207,206,205,200,193,185,185,183,190,196,194,192,189,187,214,215,214,214,214,214,215,215,214,214,213,212,208,198,186,174,168,164,148,142,181,178,161,196,196,194,192,189,216,216,216,216,216,216,216,217,214,207,195,179,165,156,135,144,142,131,129,127,151,144,149,197,197,196,193,190,216,217,217,217,216,208,194,181,172,162,155,148,146,134,123,123,119,109,111,98,93,121,148,154,183,196,195,193,217,218,217,209,182,157,148,149,151,152,149,142,137,117,115,111,107,110,113,108,105,96,90,114,128,195,196,194,219,219,208,184,171,144,131,138,130,127,124,121,124,131,142,132,103,111,116,98,94,83,80,103,110,191,199,196,217,200,185,182,168,140,121,112,109,119,133,148,152,146,136,118,87,92,95,80,79,77,85,109,156,199,199,197,190,179,180,179,168,159,148,149,149,154,156,145,140,131,122,100,80,85,107,132,160,178,193,201,203,202,201,198,175,177,179,175,171,166,148,138,131,131,127,112,107,101,102,116,148,185,207,212,211,209,208,207,206,203,201,199,177,181,178,176,174,155,119,92,97,95,82,68,65,103,192,214,217,217,215,215,213,211,209,208,207,203,201,199,183,182,179,172,154,136,94,73,74,62,54,52,51,53,109,217,219,218,217,216,214,212,210,209,208,204,201,200,181,182,173,152,142,127,101,88,67,55,53,52,51,51,105,211,219,216,216,215,213,209,209,208,206,204,202,200,183,179,162,148,138,134,136,130,84,57,56,56,54,107,203,218,219,216,215,214,212,209,207,206,204,202,185,150,183,171,149,135,131,136,141,121,73,55,49,44,83,207,220,220,220,217,216,215,213,210,208,206,195,165,96,64,171,147,125,123,120,119,119,89,62,48,45,51,76,219,221,221,218,217,216,214,213,206,184,144,99,69,59,49,146,132,127,128,121,107,98,84,73,56,55,56,127,220,221,220,219,217,216,210,161,111,81,65,57,54,55,45,135,135,132,126,107,86,86,98,86,58,56,120,213,221,220,207,170,156,151,117,78,69,54,52,51,53,54,42,134,125,111,93,80,82,94,100,75,59,87,149,160,150,133,96,63,64,56,59,53,55,54,36,44,51,54,41,117,98,91,89,88,87,82,71,65,94,103,97,85,81,78,56,39,53,41,50,44,43,47,29,36,46,53,36,105,101,100,94,82,75,70,76,107,120,102,83,72,65,57,54,30,42,38,38,39,38,38,26,30,41,50,29,93,91,89,83,74,76,96,113,113,97,79,65,58,51,49,42,36,27,37,30,34,34,33,24,29,40,47,26,72,78,84,89,100,110,114,113,100,66,55,55,52,41,44,39,39,18,29,27,29,33,28,23,32,38,44,23,110,115,117,122,116,113,112,102,71,55,39,45,48,36,39,33,34,16,20,27,26,34,25,24,33,35,41,20,116,119,117,121,114,113,104,82,47,42,40,37,44,30,33,26,30,20,16,26,26,33,21,27,33,37,40,17
13,193,195,199,201,202,205,207,210,211,214,213,212,213,213,213,214,213,214,214,213,211,210,211,209,209,209,207,207,194,196,200,203,204,207,208,212,212,212,215,215,215,215,215,215,215,214,215,214,212,213,213,212,209,208,209,209,196,199,203,205,207,209,211,214,215,214,216,216,216,217,217,218,215,215,217,216,213,214,214,213,212,211,212,211,198,201,205,207,208,210,214,216,216,216,217,219,220,218,221,220,219,217,214,216,220,218,214,213,215,215,214,213,199,202,205,208,210,212,214,217,217,218,220,220,221,223,216,219,216,220,233,197,152,202,221,219,219,214,215,215,200,203,207,210,212,213,216,216,219,220,222,221,219,207,236,236,172,175,255,202,112,122,217,186,205,220,216,216,203,206,210,213,213,215,217,218,221,223,219,231,228,159,187,255,182,144,249,199,122,68,180,147,109,220,219,218,203,207,209,213,214,215,218,221,222,222,223,255,242,187,119,236,196,136,243,186,113,76,185,164,74,185,229,218,206,208,210,213,217,219,220,222,227,220,246,255,255,204,117,210,206,112,221,198,90,125,225,167,62,157,235,215,206,209,213,214,218,221,223,225,224,226,255,219,247,207,107,175,210,101,226,225,107,100,146,99,50,160,236,217,207,211,214,217,218,221,222,224,219,243,255,226,244,184,96,171,194,94,122,171,90,70,134,126,65,170,235,220,209,213,215,216,219,222,224,221,237,255,241,204,231,157,98,203,171,114,19,21,26,134,210,208,108,183,234,222,211,214,215,220,223,223,227,219,252,255,227,176,202,159,102,211,179,112,17,93,137,188,207,205,130,183,236,223,213,215,217,221,224,224,228,223,255,255,230,184,155,167,82,225,242,109,116,249,230,195,159,146,111,142,239,223,213,216,218,223,226,227,231,228,255,255,238,217,176,129,79,181,200,166,247,242,208,182,148,114,96,101,231,228,215,217,221,223,227,230,228,233,255,255,240,219,203,154,146,149,211,253,251,225,197,169,135,108,89,105,236,228,217,221,223,225,229,230,229,237,255,255,238,225,208,173,154,177,255,255,242,210,178,155,122,105,74,166,242,228,218,221,224,227,231,233,232,234,255,255,243,229,213,181,163,202,255,255,236,200,164,139,112,91,87,228,235,231,219,222,225,229,231,233,233,235,255,255,248,231,212,186,183,225,243,237,217,189,159,127,106,65,128,249,232,236,219,224,227,230,232,234,234,234,255,255,245,230,206,187,206,229,209,208,192,170,146,117,78,84,214,240,233,234,221,224,229,232,233,236,238,233,255,255,253,230,203,198,221,219,192,189,167,145,125,82,102,219,242,235,236,236,223,225,230,233,234,237,238,238,255,255,255,233,214,213,230,208,186,168,145,132,88,101,230,243,237,239,239,239,223,226,230,234,237,238,229,255,255,255,255,231,223,228,220,191,169,139,132,97,93,224,248,240,239,239,240,239,225,226,230,232,237,239,231,255,255,255,255,228,225,222,205,171,142,124,106,83,201,246,242,243,242,241,241,240,225,228,231,234,238,237,238,255,254,250,244,220,215,217,186,149,130,117,78,175,252,243,245,244,242,242,241,241,226,229,232,236,240,232,244,255,244,226,222,202,213,212,160,142,129,88,115,241,247,246,243,244,243,241,241,241,226,230,234,236,242,223,255,255,231,222,216,199,203,182,145,137,109,77,181,252,248,248,244,244,244,243,242,241,227,231,234,237,239,225,255,255,215,211,217,198,184,162,136,124,82,101,228,250,248,248,247,247,245,244,243,241
1,147,148,148,148,149,148,149,149,149,146,147,147,146,144,142,140,139,142,138,138,138,136,134,131,138,79,14,8,148,149,150,150,151,151,150,150,149,148,148,147,147,144,144,148,139,118,138,140,138,138,137,133,139,53,10,11,150,150,152,152,152,153,152,151,151,151,149,148,147,148,133,124,145,80,113,148,141,138,138,135,140,38,15,13,151,152,153,154,155,154,153,153,152,153,150,150,149,151,130,62,109,86,76,114,118,144,138,135,140,63,14,3,153,153,155,155,155,155,154,154,155,153,151,147,143,160,128,57,79,81,74,112,67,139,140,136,145,63,9,6,154,155,156,157,157,157,155,154,154,153,154,145,94,110,119,49,96,96,74,119,55,124,145,136,146,71,2,8,155,156,158,159,159,159,158,157,156,154,160,136,71,69,124,51,97,109,56,104,51,116,147,138,145,107,54,67,156,158,159,159,159,159,160,159,158,156,161,130,64,74,116,52,73,90,58,123,60,107,150,140,143,117,122,127,157,159,160,161,161,161,161,160,159,157,167,135,73,65,93,46,72,73,61,129,67,91,153,142,144,117,113,87,158,160,161,162,161,162,162,161,161,159,172,122,70,70,94,48,94,84,57,113,62,88,155,143,144,129,113,69,160,161,163,164,163,163,163,162,162,161,169,120,67,84,111,54,81,85,54,108,61,93,156,144,145,139,122,108,161,162,165,165,165,164,165,164,162,165,173,126,91,63,86,38,59,58,72,122,71,93,156,145,145,144,127,119,162,164,165,165,165,165,165,165,162,168,163,119,75,43,44,32,55,29,72,114,69,86,158,145,146,145,140,116,163,165,167,167,167,166,166,165,164,170,157,119,99,93,77,73,54,56,81,89,48,98,160,147,147,145,146,134,165,166,166,167,167,167,167,168,163,179,168,134,127,101,145,99,97,92,114,86,35,132,156,150,148,147,146,146,166,167,167,168,169,169,169,169,166,189,158,129,104,71,120,122,123,111,104,84,56,147,154,151,150,147,147,144,166,167,169,170,171,171,171,169,171,187,148,105,83,61,43,95,118,99,109,104,59,115,162,151,150,147,147,145,168,169,170,172,172,172,173,170,175,192,155,120,95,58,44,39,69,82,135,127,74,77,164,150,151,149,148,145,169,170,170,172,173,173,173,171,178,187,153,133,91,69,63,40,116,106,112,147,97,48,141,157,151,151,150,147,171,172,173,173,173,174,174,172,180,181,154,135,78,76,52,88,156,138,112,123,107,43,96,165,150,152,149,147,171,173,174,174,174,174,175,173,178,179,160,137,74,79,60,137,158,140,120,94,85,54,73,165,152,152,149,148,172,174,174,175,176,175,176,174,178,178,161,122,84,68,85,162,156,136,106,94,66,39,105,164,152,153,151,148,173,174,175,176,176,177,178,175,179,175,156,117,101,56,107,164,146,126,97,84,63,35,148,160,154,153,151,151,173,174,175,177,176,176,176,174,174,169,150,125,108,59,123,159,133,114,95,77,40,70,169,156,156,154,152,153,172,173,174,174,173,174,173,173,169,164,146,132,113,68,125,147,120,107,91,63,27,132,165,155,154,151,152,151,172,174,175,176,176,178,181,173,168,167,145,137,111,66,115,130,107,94,78,30,73,169,157,156,156,159,162,107,174,176,176,176,181,168,151,179,161,154,147,138,85,62,94,106,88,75,40,44,157,161,161,163,152,135,91,35,173,175,176,175,188,118,36,87,125,128,123,98,56,62,76,85,67,46,22,133,171,161,147,95,51,25,16,24
7,214,214,215,216,215,216,215,215,214,214,214,214,212,212,211,210,210,208,206,206,205,206,192,114,99,88,90,115,217,217,217,218,218,218,217,218,218,217,216,216,215,214,214,213,213,209,208,208,208,205,213,137,89,73,83,102,218,219,219,221,223,221,220,220,220,221,219,218,217,217,216,215,214,212,211,211,209,208,215,165,70,61,81,89,221,222,225,223,224,224,223,222,222,222,221,221,221,219,217,217,217,215,214,213,211,211,211,203,79,48,68,82,222,224,226,225,225,225,225,225,225,225,224,224,223,225,222,220,219,218,217,215,216,212,211,216,162,98,74,97,224,224,226,227,228,226,227,228,228,228,225,224,224,210,209,215,212,205,197,203,191,211,209,209,165,167,182,167,226,229,230,231,231,230,230,230,228,228,227,228,229,204,189,214,222,204,189,192,175,223,205,190,120,191,215,199,230,231,232,233,232,233,234,233,234,240,247,246,232,207,200,207,191,192,172,171,164,162,161,199,149,207,159,182,230,232,233,235,234,230,228,239,251,255,253,241,229,218,218,208,162,161,193,177,171,159,155,159,146,175,144,217,232,235,237,236,254,243,231,234,242,241,235,232,230,230,222,201,180,171,192,188,180,181,163,136,139,179,157,219,233,237,234,251,255,254,239,230,235,239,236,235,233,228,225,197,181,171,161,150,147,144,132,125,116,130,161,206,235,237,237,255,255,254,221,210,223,238,237,233,222,206,192,169,155,144,136,143,150,159,157,165,178,187,213,222,240,237,248,255,255,244,206,208,221,209,202,191,177,168,154,137,133,209,234,224,230,232,229,231,227,228,210,146,242,237,255,255,255,237,225,220,204,193,198,202,195,189,183,192,165,125,213,238,231,228,227,225,222,220,223,153,238,247,255,255,255,255,255,230,203,210,211,209,197,185,182,176,159,91,77,220,236,230,229,228,225,223,224,206,234,255,255,255,255,255,255,224,184,199,197,192,182,175,166,154,135,102,56,187,244,230,230,229,227,224,222,223,252,255,255,255,255,255,253,213,192,176,150,132,144,162,173,181,184,112,91,221,236,233,234,231,230,227,225,221,255,255,255,255,255,255,244,222,201,180,157,157,194,215,200,185,201,140,212,243,234,234,235,232,230,228,224,223,255,255,255,255,255,253,234,207,206,209,183,194,208,194,181,171,165,126,230,242,237,237,235,233,230,229,228,224,255,255,255,255,255,232,204,212,232,219,192,191,187,178,170,161,130,116,241,242,240,237,235,235,233,231,229,226,255,255,255,255,242,225,229,248,245,224,198,167,151,135,120,105,106,194,248,240,243,239,237,235,234,233,229,226,255,255,255,251,242,244,247,241,231,203,169,134,131,148,114,168,224,248,244,244,243,241,239,236,233,232,229,228,255,255,253,250,250,250,232,219,216,193,159,134,220,255,244,255,251,246,246,243,242,242,240,238,234,233,231,230,255,253,255,247,242,240,223,218,206,165,126,221,255,249,252,248,247,248,247,245,243,242,242,239,237,235,232,229,246,241,247,240,229,224,217,201,163,118,206,255,250,252,250,250,249,249,249,246,246,243,242,240,238,234,234,224,245,238,233,220,209,206,192,161,114,192,255,250,251,251,251,249,248,248,246,243,243,243,242,240,237,240,235,211,239,230,215,195,186,176,145,115,194,255,254,254,253,252,250,249,248,248,246,244,243,242,241,237,239,214,207,224,215,200,180,161,149,131,111,197,255,253,255,255,255,253,250,249,248,248,246,245,245,242,241,240,230,110,86,162
19,164,165,166,168,170,170,171,171,171,171,171,171,171,170,170,170,169,168,168,167,167,166,166,165,164,163,163,163,165,165,167,168,170,171,172,172,171,171,171,172,171,171,171,171,170,169,169,169,168,166,166,166,165,164,164,163,165,166,167,168,170,171,173,172,173,172,172,172,171,171,173,172,171,170,170,170,169,167,167,167,166,165,165,164,165,167,169,170,170,172,173,173,173,173,173,173,172,173,173,172,171,171,170,170,170,169,169,167,167,166,165,164,167,168,169,171,172,173,173,174,175,174,172,172,174,173,173,173,172,172,171,170,171,171,170,168,167,166,166,165,168,171,170,172,174,175,175,175,176,180,163,146,159,175,175,175,174,173,172,172,172,171,171,170,168,167,167,166,169,171,173,174,175,176,176,177,178,200,184,153,122,156,177,175,175,174,173,173,173,172,172,170,169,169,168,167,170,171,172,174,175,176,178,179,176,196,204,173,127,108,169,176,177,175,174,174,174,172,172,171,170,169,169,168,172,173,173,176,177,178,179,179,178,185,204,179,133,88,138,180,177,177,175,174,173,173,172,171,170,170,170,168,173,174,175,178,178,179,180,181,178,185,198,172,131,89,115,180,177,177,176,174,175,173,172,171,171,171,170,169,173,174,177,179,179,181,182,182,192,211,192,166,147,115,124,173,176,178,178,177,176,174,174,173,172,171,171,170,174,176,179,180,182,182,181,185,217,207,178,158,165,175,173,167,160,161,165,172,176,176,176,174,173,173,171,171,176,178,179,181,182,183,182,206,215,187,146,124,140,174,191,192,183,172,153,153,156,167,172,175,173,173,172,171,178,180,180,181,182,182,194,225,212,190,159,120,107,135,168,182,188,187,177,168,162,165,156,156,165,172,173,172,179,181,181,183,184,184,213,219,199,180,164,153,138,133,139,147,152,162,172,181,185,190,177,151,143,140,162,173,179,180,181,183,184,195,219,207,175,152,148,143,161,166,155,144,130,117,124,142,155,174,181,172,156,132,129,154,178,180,183,185,187,214,232,212,174,148,140,134,143,168,175,168,150,120,105,138,158,157,156,155,153,150,146,154,181,182,182,183,198,227,230,205,175,160,161,161,157,146,149,162,159,138,122,121,173,181,174,165,155,150,147,148,181,182,184,186,211,228,219,192,167,164,174,177,175,155,106,132,135,137,135,120,164,185,183,182,180,176,169,166,182,183,184,200,222,227,213,178,150,134,159,185,187,182,122,131,115,113,116,134,178,185,184,183,182,181,180,179,182,182,189,218,223,232,212,174,147,132,126,153,164,175,167,147,125,118,119,171,185,184,184,183,182,181,180,179,182,182,201,223,230,232,204,170,156,152,151,143,127,146,176,158,137,122,161,188,185,185,185,184,181,180,179,177,183,187,216,225,231,220,200,175,165,161,158,148,137,133,135,132,130,150,185,187,186,186,184,183,182,181,180,179,182,198,224,225,223,214,197,181,167,167,164,150,134,127,126,114,158,186,188,187,187,186,186,184,183,181,180,180,182,209,224,223,221,208,188,170,152,151,155,149,139,132,128,149,191,191,188,187,188,187,187,186,184,182,182,181,187,216,221,217,213,201,182,153,125,111,121,134,133,136,153,183,193,192,190,188,188,187,187,187,185,183,183,182,199,217,210,203,198,180,154,127,108,92,143,178,173,179,190,192,192,191,191,190,189,187,186,186,184,183,181,181,214,214,196,189,177,153,129,114,105,100,176,197,195,194,193,193,193,192,191,190,188,187,186,186,183,183,182,181
15,124,137,147,157,164,166,170,177,183,188,193,199,203,207,211,215,218,221,224,226,227,228,229,232,232,233,235,234,126,139,149,158,166,168,172,179,186,191,195,201,204,208,213,217,221,225,226,226,228,231,231,233,234,235,237,237,128,141,151,162,170,172,174,181,189,193,198,202,207,210,215,220,223,226,226,229,230,232,233,233,234,235,237,239,129,143,152,163,168,171,174,184,190,195,201,206,209,214,218,221,224,228,229,231,232,235,236,235,237,239,239,240,131,144,156,164,170,170,176,186,192,197,203,207,210,215,218,222,227,230,232,233,235,237,238,238,241,242,242,242,132,146,158,167,172,174,179,187,195,201,205,208,212,217,221,226,227,231,233,234,236,238,240,242,243,243,244,245,134,147,159,167,170,176,181,189,196,202,206,211,215,220,223,225,229,233,234,236,239,241,243,245,245,245,245,247,134,148,159,173,241,214,195,193,196,204,208,214,218,225,225,229,234,235,238,240,241,242,245,246,247,247,247,248,136,152,156,189,255,225,210,208,201,213,212,211,209,214,225,233,235,238,240,241,242,244,245,247,248,250,250,251,138,152,162,173,210,209,199,192,192,219,217,212,203,186,202,215,222,231,239,241,247,251,250,249,252,252,253,253,140,152,165,174,178,182,180,171,179,198,201,203,201,204,212,202,206,213,226,227,216,228,249,255,250,254,255,254,143,156,167,176,182,186,190,198,200,202,197,187,185,199,205,197,192,189,215,228,215,198,186,232,255,254,255,255,144,158,169,176,183,186,192,201,208,214,218,215,211,207,198,184,173,186,213,225,236,197,187,170,221,255,255,255,144,158,170,178,186,188,194,202,208,215,220,225,230,233,232,221,211,227,224,217,226,216,199,207,168,211,255,255,147,160,173,180,188,191,195,202,209,216,221,227,230,237,235,249,255,254,216,167,223,223,195,223,200,156,217,255,148,161,173,182,188,190,195,204,211,217,224,228,254,222,195,215,251,244,194,127,214,223,201,222,219,190,145,220,149,164,175,184,190,190,197,206,213,220,223,237,255,218,179,222,255,255,192,166,195,207,216,217,208,189,159,139,152,165,175,186,192,193,199,207,214,222,227,236,235,191,184,233,255,249,185,178,179,177,197,204,177,178,167,151,152,166,178,188,192,195,200,208,215,223,228,230,242,241,197,224,255,222,191,190,193,189,196,199,165,156,167,163,152,166,179,188,190,194,201,209,217,224,229,230,247,255,253,159,139,142,161,197,206,202,210,205,175,165,167,164,153,168,180,189,192,195,203,212,218,224,232,235,239,255,255,182,86,53,43,70,142,202,204,200,184,185,171,154,154,168,182,190,193,195,205,212,219,226,233,236,238,255,255,175,110,100,68,33,38,155,189,178,166,146,123,102,155,169,182,190,193,195,205,214,220,228,234,239,236,255,255,146,154,157,138,96,64,76,125,110,93,74,69,59,156,170,183,191,193,195,205,215,222,229,234,241,236,255,255,160,198,194,179,172,134,85,76,73,71,65,66,64,155,170,184,191,194,198,205,214,223,228,233,241,238,255,255,172,188,208,188,159,108,80,78,76,77,68,68,64,155,171,183,191,192,196,204,214,222,228,233,238,240,251,255,180,183,255,237,141,91,73,77,77,75,68,68,65,157,171,184,191,193,198,206,217,223,229,234,240,242,253,255,151,206,255,250,131,81,73,76,76,73,68,70,69,159,173,184,192,195,200,208,217,223,230,235,241,242,255,222,183,255,255,255,136,94,83,81,72,69,70,71,71
14,138,138,138,139,140,140,140,140,140,140,139,138,138,137,135,135,134,132,132,131,129,128,127,126,125,123,121,120,139,139,140,140,141,142,142,142,142,142,142,140,139,139,138,137,136,134,133,133,133,130,129,128,127,126,125,123,140,142,142,143,144,145,145,145,144,143,143,142,141,140,139,138,137,136,134,134,133,132,131,130,128,126,125,124,142,143,144,145,145,146,145,145,146,146,144,144,145,141,139,138,138,138,136,135,134,133,132,131,130,127,126,125,143,144,145,146,146,147,148,147,148,149,148,143,135,145,146,146,141,139,139,137,136,134,133,132,131,130,128,126,145,146,147,148,148,149,150,150,147,134,126,118,76,88,95,120,139,144,143,139,138,136,134,133,133,131,129,127,147,147,148,150,149,150,151,145,125,106,85,62,38,46,65,71,93,106,127,142,139,138,137,135,135,133,131,129,147,148,149,150,150,151,152,141,113,75,47,38,41,35,51,64,75,58,89,153,139,139,138,136,134,134,132,130,148,150,151,152,151,147,142,122,83,31,26,29,30,27,31,34,50,36,53,127,144,139,139,138,135,134,133,132,149,151,152,153,153,138,126,95,48,31,24,24,28,28,31,30,37,47,46,54,139,142,140,139,138,137,133,132,150,152,153,153,152,133,112,57,32,35,30,29,29,25,27,29,30,46,40,66,151,142,141,139,138,137,135,134,153,153,153,153,153,139,115,52,30,29,29,34,28,47,128,115,120,56,40,49,118,149,142,140,139,138,137,135,152,155,155,155,155,140,116,63,28,25,26,34,23,110,166,157,162,138,83,53,61,88,133,144,139,138,137,135,154,154,155,155,154,140,114,59,34,36,29,18,86,162,153,153,151,157,138,73,77,57,110,150,139,139,139,138,154,155,155,157,154,145,117,65,45,42,34,39,153,158,157,155,154,152,93,78,77,57,126,148,142,141,139,139,155,156,157,159,155,147,126,83,55,39,30,52,160,156,157,155,159,122,73,78,64,66,150,145,144,142,140,139,155,158,159,158,152,146,131,87,61,41,23,78,173,157,156,159,148,76,66,74,47,101,155,144,145,143,142,140,156,158,159,158,148,148,130,94,67,41,27,49,134,158,164,160,105,69,60,62,36,135,150,147,146,144,142,140,155,158,159,157,149,145,128,96,65,41,38,35,44,66,129,110,68,76,69,36,94,156,147,148,147,145,143,141,156,158,160,156,148,151,131,95,71,46,37,42,49,51,55,54,62,70,48,76,158,150,149,147,146,146,144,141,157,158,161,154,148,156,130,94,71,48,35,42,50,57,61,55,58,60,57,152,154,151,150,148,146,145,144,143,158,159,162,152,150,153,125,90,73,51,35,43,50,53,61,62,52,38,127,162,152,152,150,149,147,146,144,143,159,160,162,151,151,148,121,89,78,55,35,42,53,57,59,61,38,78,163,153,153,153,151,150,147,146,145,143,158,159,161,150,152,142,116,92,79,55,35,45,57,61,62,46,53,159,157,155,154,153,152,151,150,147,145,144,159,160,161,149,148,131,111,88,75,53,34,45,58,57,56,27,104,170,155,158,156,153,152,151,150,147,145,144,160,161,161,148,141,128,108,86,72,53,36,44,54,55,38,50,161,159,158,158,157,154,153,152,150,149,146,144,159,162,160,149,135,127,103,81,65,51,36,42,49,45,29,133,167,159,159,158,157,155,153,152,150,149,147,145,159,160,159,148,130,122,99,78,59,46,35,39,39,27,112,172,160,161,160,158,157,154,154,152,151,148,146,145
11,128,133,136,139,142,144,147,149,150,152,154,155,156,158,160,161,161,163,164,165,165,166,166,166,166,166,166,165,129,134,138,140,144,145,147,149,151,153,154,157,158,159,161,162,162,163,164,166,167,168,167,167,167,167,167,167,130,134,139,142,144,146,148,150,152,154,155,158,160,161,162,162,166,166,166,167,168,168,168,168,168,168,168,168,130,135,139,142,145,147,149,151,153,154,157,159,160,162,162,163,151,163,167,168,168,168,168,169,169,169,169,169,131,135,139,142,145,148,149,152,155,156,158,160,161,163,163,170,131,132,173,168,169,169,170,170,171,170,169,169,131,135,139,143,146,148,150,152,155,158,160,161,162,163,162,176,133,122,174,168,170,170,171,171,170,170,170,170,132,136,140,144,147,148,150,152,155,158,160,161,163,164,164,179,118,132,175,169,171,171,172,172,171,171,171,171,133,137,141,144,148,149,151,153,155,158,160,162,163,162,170,178,113,144,176,171,172,173,172,173,172,172,172,171,133,137,142,145,148,150,151,154,156,157,160,161,163,163,179,158,109,157,174,171,172,173,173,173,172,172,172,172,133,138,142,145,148,150,152,154,156,158,161,161,161,163,178,126,111,170,172,171,172,173,173,173,172,173,173,172,133,138,141,146,149,150,153,155,159,159,158,168,176,131,128,113,125,177,170,172,173,173,173,173,173,173,173,172,134,138,142,145,148,150,156,155,147,173,156,132,155,131,104,102,151,176,171,173,173,173,174,173,173,173,174,173,133,138,143,144,154,178,179,162,110,144,154,107,131,128,98,100,169,172,172,174,174,174,174,174,174,173,173,174,134,138,142,149,175,155,166,163,109,135,139,105,151,123,86,115,178,171,173,174,174,174,175,175,175,175,174,173,135,139,140,159,157,136,149,159,108,135,124,112,149,110,80,132,179,171,173,173,174,175,175,175,175,175,175,173,135,140,143,172,149,120,130,148,101,125,110,119,134,100,80,141,178,171,172,173,175,177,177,175,174,175,175,174,136,136,155,177,150,124,130,117,98,121,95,124,124,91,75,145,181,172,174,173,169,165,167,178,179,175,175,175,137,136,174,172,147,128,118,108,110,115,81,142,108,78,84,121,170,168,165,161,155,149,135,137,168,179,175,175,135,139,184,165,146,132,115,100,127,103,68,113,102,107,127,125,145,161,165,161,149,133,127,119,114,173,177,175,135,142,179,165,152,139,121,112,121,125,135,141,151,153,144,149,159,151,136,128,125,139,155,148,132,170,178,176,135,141,174,167,157,145,126,126,146,165,158,156,154,151,138,134,132,115,133,158,173,180,180,179,179,177,177,176,134,141,183,170,157,145,127,132,156,161,148,154,150,140,116,107,122,157,180,179,177,175,176,176,177,178,177,177,133,148,188,159,149,134,127,133,149,149,149,146,134,107,100,141,174,178,175,176,176,176,178,178,177,178,178,177,130,159,172,140,138,132,132,135,135,140,141,123,97,109,158,177,173,174,175,175,176,176,177,177,177,177,178,177,128,164,167,143,138,145,137,138,127,127,117,94,128,170,172,169,171,173,173,173,173,175,176,176,176,174,175,176,131,173,173,143,138,158,141,132,118,110,95,137,172,167,168,169,170,172,172,173,173,174,174,175,176,186,190,192,136,178,174,139,139,159,139,123,108,89,124,170,163,167,168,169,170,171,172,172,173,173,175,174,192,199,198,189,136,179,174,135,140,157,137,123,99,90,155,162,163,166,166,168,170,170,171,172,173,174,174,174,168,147,178,188
15,73,84,92,94,98,106,113,119,123,128,132,135,139,142,146,149,151,154,157,158,159,161,161,162,163,163,163,163,75,86,94,96,100,108,116,122,126,130,133,137,140,144,148,151,153,156,158,160,162,162,162,164,163,165,165,164,76,88,95,97,101,109,116,123,128,132,134,138,142,146,149,152,156,158,160,162,162,163,164,164,165,167,166,165,77,88,97,98,102,111,118,123,128,133,136,140,143,146,149,153,156,159,161,163,163,164,165,166,167,169,168,168,78,89,97,99,105,112,120,125,131,135,137,141,145,147,151,155,157,160,162,163,165,166,167,168,169,169,170,170,80,91,98,100,106,113,120,126,133,136,138,142,145,149,153,156,159,161,162,162,165,166,168,169,170,170,170,171,82,93,100,101,108,116,122,128,134,138,141,146,153,157,159,162,165,166,169,171,175,175,169,168,169,169,170,171,84,95,101,101,108,118,124,129,133,136,134,125,117,123,130,137,142,141,133,125,127,148,167,176,178,177,176,173,84,95,101,106,110,116,116,112,113,115,108,98,94,91,93,95,104,112,103,99,83,71,83,100,124,146,166,176,86,96,106,115,111,117,110,92,91,86,73,84,103,103,98,86,102,126,118,117,103,86,77,62,49,51,65,92,88,98,105,88,69,66,49,29,36,34,30,37,50,49,43,44,87,101,101,99,88,88,94,84,68,55,47,52,89,100,104,103,94,78,72,85,105,119,128,123,115,104,91,66,81,82,88,68,71,81,108,92,77,62,55,64,90,99,103,108,119,127,134,141,143,145,150,155,158,168,154,112,100,80,69,51,70,96,120,101,90,74,67,77,90,99,103,108,114,122,128,133,138,141,146,150,154,150,121,129,95,32,44,11,82,134,125,103,101,89,81,81,90,99,102,106,114,122,128,133,138,141,145,149,153,139,123,102,86,5,10,0,104,147,128,101,102,92,82,75,92,99,102,107,114,122,129,134,138,142,146,151,145,137,135,85,32,0,12,0,99,152,124,98,84,76,69,58,92,100,103,108,116,123,131,134,137,141,146,151,149,118,137,113,28,2,9,0,104,137,119,89,62,56,43,40,92,101,104,108,117,124,130,134,139,143,146,150,158,144,131,134,80,23,61,112,118,113,114,75,49,41,32,39,92,101,104,108,116,124,130,134,140,143,148,152,154,162,143,133,117,107,113,104,96,85,60,32,25,18,24,29,93,99,102,108,117,124,130,133,138,144,147,150,154,162,145,118,124,105,64,69,55,33,38,88,81,82,103,127,93,100,103,110,119,125,132,138,144,149,153,155,159,138,100,87,94,78,46,33,18,4,10,144,194,184,187,185,64,69,73,77,82,86,94,97,101,107,113,115,135,122,90,66,46,44,26,8,8,2,6,62,186,171,178,180,50,52,51,54,57,55,54,53,55,55,58,54,84,103,53,28,19,38,51,31,28,55,45,58,90,91,96,101,58,59,61,63,64,66,65,65,68,70,71,70,73,68,40,47,61,71,72,72,69,72,73,68,65,66,65,65,57,58,60,61,63,63,64,65,65,67,68,70,69,66,73,80,76,73,70,71,72,72,71,72,74,74,75,75,58,61,62,62,63,64,64,65,65,66,66,66,69,68,70,73,74,77,72,72,70,71,73,74,74,74,76,77,58,59,63,64,65,66,66,67,67,68,67,68,70,70,70,69,69,73,72,71,71,72,73,74,74,75,75,77,57,58,62,63,65,66,66,67,67,69,68,70,69,71,72,70,69,71,72,72,72,71,72,73,73,73,75,75
21,184,184,184,185,186,186,186,186,185,186,187,183,186,186,183,182,182,181,181,179,178,177,175,173,173,171,167,166,186,187,187,188,190,190,189,189,189,187,195,179,148,188,186,186,185,184,183,182,181,179,178,177,175,174,171,169,189,190,190,192,192,192,192,193,193,191,194,192,138,161,196,189,189,188,186,186,184,182,182,179,181,177,174,173,192,192,193,193,194,194,194,196,196,196,194,195,161,127,196,192,192,192,190,189,187,185,187,170,149,182,177,175,194,195,195,196,197,197,198,198,198,197,196,199,178,110,179,199,193,193,192,192,190,187,192,165,114,178,181,178,197,197,198,198,199,199,199,200,199,198,199,199,193,128,152,205,194,195,194,194,192,189,199,152,119,185,183,180,199,199,201,200,201,202,202,202,201,200,202,203,205,153,130,202,198,197,196,196,194,196,192,135,133,195,183,183,201,202,203,204,204,204,203,203,203,203,204,204,212,166,116,190,204,198,198,198,195,203,185,121,157,196,185,184,203,205,206,206,206,206,205,206,205,206,207,205,217,182,122,172,209,200,200,198,200,201,170,118,182,194,188,186,206,207,208,208,208,209,209,208,208,208,209,205,213,201,144,154,211,201,202,201,203,188,141,128,199,192,191,188,209,210,209,210,210,210,210,209,210,211,210,210,206,205,165,139,207,204,204,205,205,182,110,161,203,194,193,190,210,211,211,210,211,212,211,210,211,211,211,212,191,170,163,128,198,209,204,210,204,163,118,199,199,195,194,192,211,211,213,212,212,212,212,212,212,212,213,210,208,198,181,141,186,218,207,210,190,131,150,210,198,198,196,194,212,213,214,214,214,214,214,214,215,214,217,206,193,218,208,179,146,188,199,187,165,114,187,208,202,199,198,196,215,216,215,216,216,216,215,215,216,216,217,211,172,157,202,182,164,128,155,165,126,125,212,204,203,200,199,197,215,216,216,216,217,217,217,216,217,216,218,212,174,99,105,189,183,115,101,124,101,144,217,204,203,202,200,199,216,217,216,217,218,218,218,219,219,218,220,217,184,149,111,145,170,114,109,100,89,157,219,206,205,204,202,200,218,218,218,219,220,219,218,219,219,220,216,199,200,191,158,111,156,137,118,128,93,166,219,207,208,206,203,201,219,219,219,221,221,222,222,222,222,222,206,205,206,195,180,160,127,149,131,139,88,147,222,208,209,206,205,203,220,221,221,222,223,223,223,223,224,220,206,198,162,169,194,178,146,111,133,121,88,106,218,210,210,207,206,204,219,221,221,222,222,222,222,223,224,221,208,198,159,103,136,176,142,83,106,141,110,77,165,220,208,209,206,203,220,221,222,222,222,222,222,223,223,220,209,194,164,134,91,128,117,90,96,148,137,84,124,220,205,206,208,210,220,222,223,223,224,223,223,224,224,223,204,194,187,149,105,126,147,98,121,164,147,83,142,222,211,213,190,148,219,220,221,223,223,222,223,224,224,222,200,195,196,144,124,148,215,176,160,163,120,79,192,214,183,138,92,72,227,227,228,229,229,228,227,228,228,227,204,200,181,162,122,150,211,200,167,143,109,86,149,112,88,70,72,77,186,189,194,198,201,204,207,211,214,216,201,188,176,157,113,144,195,177,154,132,108,80,74,75,82,63,72,80,124,124,124,125,128,129,128,130,131,127,158,189,179,150,120,143,191,174,142,114,91,75,76,70,80,56,62,82,132,132,132,132,132,135,135,133,136,128,145,193,176,151,131,131,175,160,125,98,76,70,70,64,72,52,57,80
23,184,186,186,187,188,188,188,189,188,189,189,189,189,189,189,189,189,188,188,187,187,186,186,186,184,184,185,174,186,187,187,187,189,190,190,190,191,192,191,191,191,190,191,192,192,190,188,189,188,188,187,186,185,186,184,185,187,188,189,191,191,192,192,192,192,193,193,193,193,193,193,192,193,193,193,190,189,189,189,187,187,188,187,186,189,191,192,192,192,192,192,193,193,194,194,193,194,194,194,194,194,196,194,193,193,192,192,192,191,190,189,188,191,192,192,193,194,194,194,195,194,195,195,195,195,195,194,194,195,197,194,194,193,188,189,190,189,192,191,190,192,193,194,195,196,196,196,196,195,196,196,198,195,195,195,196,196,193,202,213,206,197,192,151,123,200,191,192,193,194,195,195,195,197,198,196,197,197,198,199,198,197,198,199,197,209,221,216,172,154,153,112,138,201,193,194,195,195,196,198,198,200,200,200,200,200,201,199,201,201,199,200,219,219,198,166,100,140,161,177,199,196,196,196,196,196,197,199,200,200,200,200,201,200,200,200,201,200,197,215,232,195,114,113,169,206,201,199,196,197,196,196,197,198,199,200,200,200,201,200,201,201,201,201,202,199,205,225,232,154,86,192,209,199,197,201,201,196,198,198,198,199,200,201,200,201,202,202,201,202,202,203,204,200,219,224,223,164,172,206,176,192,203,186,188,202,200,200,199,199,200,201,201,201,202,203,202,201,203,203,204,203,217,215,202,216,220,216,152,140,189,170,146,204,200,199,199,200,201,201,202,201,201,203,203,203,197,180,186,201,205,207,132,182,184,190,152,100,167,180,120,205,201,201,199,201,201,202,204,203,202,204,203,211,208,183,157,172,185,209,190,214,213,195,140,83,132,156,113,208,202,201,201,202,203,203,203,203,204,204,207,222,221,215,190,177,167,165,156,161,186,197,156,85,75,103,88,191,207,202,199,201,204,204,203,204,206,206,204,218,229,219,214,194,174,188,170,150,143,148,151,111,67,82,77,135,214,202,198,200,202,202,202,203,203,206,201,213,231,215,208,184,139,158,191,182,164,145,102,121,78,71,84,107,210,203,198,201,202,202,202,203,204,206,200,213,228,223,218,152,113,100,150,155,144,120,82,115,85,65,79,150,212,199,201,202,202,203,203,204,204,208,199,213,229,232,215,147,94,59,99,171,129,78,92,130,91,64,98,197,205,201,201,201,203,204,204,205,205,207,195,215,233,227,196,153,106,44,125,154,98,52,120,133,93,66,161,213,201,203,200,201,202,202,203,205,205,205,196,219,232,216,182,143,111,55,106,116,44,54,137,120,74,100,210,205,203,204,200,200,200,201,202,203,206,203,202,223,229,206,173,140,109,52,91,89,30,97,130,90,66,165,214,203,206,205,205,205,205,206,207,209,210,203,207,230,222,193,167,141,113,61,85,73,43,117,105,69,88,204,206,204,205,204,171,173,176,180,184,189,194,190,210,220,210,180,157,138,116,65,75,72,71,90,88,75,162,219,211,213,212,211,100,99,98,101,105,105,99,127,211,212,199,163,152,154,113,72,64,76,101,95,81,88,156,162,165,169,172,173,104,102,101,101,102,104,94,124,208,207,189,160,167,166,105,86,70,88,109,107,91,95,89,91,94,89,87,96,103,105,104,103,104,106,98,139,212,199,191,171,178,166,115,93,82,94,103,97,96,105,102,103,108,128,163,191,103,105,106,105,105,109,95,153,222,210,205,186,183,165,125,96,85,90,97,95,107,115,133,172,199,215,207,209
7,130,138,143,143,147,153,158,161,163,165,167,169,171,173,174,176,176,177,177,178,177,177,178,177,175,176,175,174,131,138,143,144,148,153,158,162,164,166,168,170,173,175,175,176,177,179,179,179,179,180,181,178,177,177,176,175,132,139,143,145,149,155,159,162,165,168,170,171,174,175,177,178,179,180,180,181,180,180,180,180,179,179,178,176,133,140,143,145,150,156,159,162,167,168,170,173,174,177,178,179,180,181,182,181,181,182,182,181,181,180,179,178,134,140,143,146,151,156,160,163,166,170,172,174,176,178,179,180,181,182,182,182,183,183,183,182,183,182,181,179,136,142,146,148,152,156,160,164,167,169,173,175,178,180,180,182,182,184,184,184,184,184,183,183,183,182,182,180,137,143,148,149,153,158,163,166,168,171,176,177,179,181,183,185,184,186,186,186,185,185,185,184,184,183,183,181,137,143,147,150,155,157,160,167,168,171,174,175,175,180,182,182,184,186,186,187,188,186,185,185,186,184,184,183,136,144,149,149,151,163,184,186,175,178,187,187,186,183,175,171,179,175,177,177,181,188,189,188,187,186,186,185,139,145,145,152,179,199,203,193,173,165,180,190,194,190,173,174,192,178,167,159,146,170,177,187,188,187,186,187,135,145,170,197,203,199,202,191,165,158,167,177,182,180,160,159,176,166,159,153,144,157,144,188,193,189,188,188,160,194,205,201,199,201,200,180,160,159,172,193,196,200,184,179,174,168,179,172,157,152,157,167,177,190,189,188,207,206,202,208,202,202,205,191,140,129,135,157,162,165,169,174,172,174,180,183,173,170,173,156,168,166,187,189,208,208,207,208,203,208,214,184,128,109,117,106,92,111,130,140,143,145,145,150,152,152,154,148,160,150,188,192,212,209,207,208,207,209,205,154,116,112,113,115,94,73,89,179,181,185,182,179,174,168,168,165,165,181,192,190,207,206,204,206,205,207,195,146,104,106,123,124,120,100,98,193,193,193,194,196,196,196,196,196,195,192,191,190,212,210,209,211,213,218,201,136,102,90,83,119,139,115,93,168,197,191,193,193,193,192,191,191,190,191,191,190,209,209,205,199,201,202,165,129,105,104,79,87,118,117,113,177,195,192,194,194,195,194,194,194,192,192,192,191,198,196,185,177,183,171,142,126,119,107,102,94,124,149,172,192,192,193,194,195,195,196,195,195,193,193,192,192,183,174,170,167,169,148,122,116,112,115,100,99,177,195,192,191,192,194,194,195,195,197,195,194,195,195,193,192,159,159,150,137,127,126,142,151,131,129,130,151,188,187,189,192,194,194,195,195,194,195,196,195,195,194,194,192,130,128,119,120,136,158,171,177,179,179,184,186,187,188,190,192,194,195,194,195,195,195,195,194,193,192,193,192,107,102,102,123,132,128,126,127,127,127,128,127,128,130,131,130,130,132,133,130,129,128,128,126,125,124,124,122,86,102,109,105,108,106,105,103,103,103,103,103,104,105,103,101,100,102,103,103,104,103,103,102,99,98,99,98,102,108,112,112,113,114,113,112,114,114,115,113,113,113,111,115,116,112,111,110,110,110,110,108,105,107,107,99,105,107,113,113,113,114,112,110,111,112,112,111,111,110,109,115,117,114,115,110,108,107,107,107,108,104,99,133,105,103,113,114,113,113,112,112,113,113,112,112,113,111,111,111,109,110,111,109,108,107,107,109,103,113,166,190,104,98,109,115,115,115,115,114,114,115,114,114,114,114,114,112,110,110,110,109,110,108,106,105,108,186,180,161
24,172,173,174,175,175,176,177,177,177,178,178,178,177,177,177,177,176,175,173,172,172,171,169,168,167,165,164,163,175,176,177,178,178,179,179,180,180,180,180,180,180,180,180,179,178,177,176,175,174,173,171,170,169,168,167,166,178,179,180,181,182,182,182,184,184,184,183,182,182,183,183,182,181,180,179,179,178,176,173,164,160,170,171,169,181,182,183,184,185,185,186,186,186,186,186,186,185,185,185,185,184,183,182,181,180,179,177,153,131,163,173,172,183,185,186,186,187,187,188,188,188,189,188,188,188,187,187,187,186,186,185,184,183,182,181,151,117,158,175,174,186,187,187,188,189,190,191,191,191,186,179,187,190,190,190,190,189,188,187,186,186,185,185,150,117,160,178,177,188,189,190,191,192,193,193,193,193,175,145,168,192,194,194,193,192,191,190,189,188,189,187,146,120,167,181,180,191,192,193,194,195,195,195,196,194,171,129,137,187,196,197,196,195,194,193,192,191,193,189,144,126,174,183,182,194,195,196,196,197,197,197,197,197,180,139,119,174,198,198,198,198,196,195,194,193,197,182,133,132,180,186,184,196,197,198,198,199,200,200,200,200,191,155,116,156,198,199,199,199,199,197,195,191,195,171,120,141,185,188,187,198,199,200,201,201,201,201,201,201,198,170,124,136,193,202,201,196,190,193,186,162,158,155,118,157,190,190,189,200,201,202,203,202,202,203,203,203,202,183,139,119,178,204,197,179,161,165,164,136,111,117,119,174,194,193,191,202,203,204,204,205,205,205,205,205,205,192,152,113,153,200,190,176,158,145,140,133,120,96,118,184,196,194,193,203,204,205,206,207,207,207,207,207,207,199,168,129,131,183,180,180,162,147,142,145,136,94,125,191,197,195,194,205,206,207,208,208,209,209,209,209,209,206,186,151,118,145,155,177,169,140,130,137,136,102,127,192,198,197,196,207,207,208,209,209,210,210,210,210,210,210,197,166,133,129,134,160,170,123,90,117,148,119,113,179,200,199,197,208,208,210,211,211,211,211,212,212,213,213,204,186,165,130,112,132,155,110,71,103,156,139,105,147,196,200,199,210,211,212,213,213,213,213,214,214,214,214,207,195,170,123,99,118,140,100,74,123,174,165,116,113,184,201,200,211,212,214,215,215,215,215,216,216,216,216,211,197,171,140,118,122,139,111,106,168,188,167,116,103,178,202,202,212,214,215,216,216,217,217,217,218,218,218,215,201,185,167,135,124,136,128,157,194,184,154,103,106,185,203,202,212,214,215,216,217,218,218,218,218,218,218,216,202,191,182,148,127,120,151,194,199,173,141,97,118,194,204,203,211,213,215,216,217,218,217,217,218,218,219,217,203,189,185,162,137,121,171,202,193,166,132,94,132,200,205,203,212,214,215,216,217,218,218,218,218,219,219,218,205,186,179,169,149,127,167,197,185,155,120,88,144,203,205,203,214,214,216,217,218,219,219,219,220,220,221,220,208,186,179,174,162,137,157,191,178,142,104,88,163,206,206,205,216,216,217,218,219,220,220,221,221,221,222,222,215,193,183,177,170,144,140,174,160,121,85,97,184,208,207,206,213,213,215,216,217,218,219,220,220,221,222,222,220,202,189,180,170,143,124,147,136,99,72,120,199,209,207,206,173,175,178,181,184,187,190,193,196,198,201,203,204,198,191,178,163,142,122,126,124,89,77,153,203,205,200,191,121,122,122,124,126,128,131,134,136,138,140,142,146,172,191,177,164,151,131,123,122,85,82,147,171,169,154,130
23,92,102,116,124,128,132,137,139,141,144,146,148,150,152,153,155,156,157,158,159,160,162,163,164,165,166,167,167,93,103,117,124,129,133,138,141,143,145,146,150,151,153,154,155,156,158,159,159,162,163,164,165,165,166,167,167,95,106,119,125,130,134,138,141,144,146,149,151,152,155,156,157,157,159,160,160,163,164,166,166,167,167,168,169,97,108,121,126,132,135,138,141,145,148,150,152,153,156,157,159,160,161,162,162,164,165,166,166,168,170,170,169,97,109,122,127,133,137,140,143,146,149,151,152,153,156,158,159,161,163,163,163,163,165,167,166,168,171,171,172,99,111,123,129,134,138,141,144,147,149,152,154,156,157,159,160,162,163,166,166,155,154,152,128,159,172,172,173,102,114,125,129,135,138,142,145,149,151,153,155,157,159,159,161,162,170,175,161,139,129,113,106,163,173,173,174,104,116,126,131,136,138,143,147,150,152,154,156,158,160,160,167,174,168,158,127,102,118,129,157,174,174,175,177,105,118,127,132,137,140,143,147,150,152,154,157,159,160,160,185,173,140,116,106,140,149,171,175,175,176,177,178,106,120,128,133,136,140,144,147,150,152,155,158,159,160,163,191,172,120,115,167,162,113,157,176,176,177,178,178,107,120,127,133,137,141,145,148,151,153,156,159,160,161,168,194,178,161,184,183,149,120,137,177,176,179,179,179,108,121,128,134,138,142,147,149,151,153,156,159,160,162,173,193,185,191,184,165,151,152,128,140,150,179,180,180,109,122,128,133,139,143,147,150,152,154,156,159,162,163,173,184,180,182,174,175,173,159,117,84,101,162,183,182,111,123,129,133,139,144,147,151,153,155,157,160,163,166,173,172,169,177,179,172,162,143,101,64,71,122,178,183,113,124,129,134,140,144,148,151,153,155,159,161,170,181,174,164,165,169,164,160,157,134,90,62,64,81,124,175,114,125,130,135,140,145,149,152,154,156,159,160,184,195,174,167,165,163,157,150,136,119,86,63,59,79,88,143,115,125,130,135,140,145,149,152,154,156,158,160,177,199,182,177,160,135,116,102,106,119,85,61,57,79,90,155,116,126,131,137,140,145,150,153,155,156,159,161,172,196,183,169,151,129,91,56,102,121,83,63,71,87,113,181,118,127,132,137,142,147,151,154,157,157,160,163,173,190,172,162,164,121,77,63,108,99,64,62,86,92,148,188,119,127,131,136,142,147,151,155,158,158,161,163,172,191,171,173,166,111,59,56,62,49,55,72,92,109,179,188,121,127,132,137,142,147,151,154,157,159,161,164,173,188,173,178,161,120,71,33,36,54,77,87,90,139,187,188,121,128,133,138,142,148,151,154,157,159,161,164,174,185,175,181,161,123,85,42,55,79,94,97,102,171,187,188,122,128,133,138,143,149,152,155,157,159,162,164,176,185,178,180,161,125,94,56,69,91,98,95,130,187,187,189,122,127,133,139,144,148,152,156,158,161,164,165,179,184,180,177,157,125,94,61,76,96,98,92,153,189,189,190,123,127,133,140,144,148,152,156,158,160,164,166,181,186,175,169,152,124,96,73,76,96,95,99,175,189,189,190,123,128,134,140,144,148,153,156,158,161,165,166,180,184,170,163,147,124,100,83,77,92,89,126,187,187,188,189,123,127,134,140,144,148,153,156,159,161,164,167,180,183,170,162,145,126,106,87,80,87,95,167,189,188,189,189,122,127,134,139,144,149,153,157,159,161,165,167,186,182,172,163,146,129,110,89,82,85,133,187,188,190,190,190
6,186,188,190,191,191,191,192,192,191,191,191,189,188,188,188,189,187,186,184,183,182,181,181,181,180,178,175,173,188,189,191,193,194,194,194,193,193,193,194,193,191,188,188,189,187,186,185,185,185,185,184,181,181,179,177,175,188,190,192,194,195,195,196,195,195,194,194,193,192,191,190,190,189,188,187,186,186,185,183,182,181,180,179,177,189,191,194,195,195,197,196,196,198,196,195,196,194,193,192,190,191,191,188,188,187,186,185,184,183,182,180,179,191,193,194,196,198,199,198,197,199,198,196,196,196,195,194,194,194,192,189,185,186,185,186,181,180,178,173,177,192,194,196,199,200,200,201,200,200,200,201,200,198,194,188,184,179,179,176,154,159,172,171,155,168,160,178,205,194,196,197,199,201,201,200,201,199,198,187,178,181,182,176,179,181,181,171,166,159,180,178,162,170,165,170,193,194,196,199,201,201,202,201,200,204,204,178,161,171,182,185,189,190,188,171,154,154,149,150,137,129,129,121,130,196,198,199,200,202,203,202,199,215,212,186,173,163,164,165,160,156,148,140,129,104,104,92,110,140,145,163,177,198,199,200,202,202,203,204,202,223,216,201,186,167,155,150,142,136,125,111,91,65,53,68,178,197,192,191,187,199,200,201,202,204,205,202,213,227,221,211,178,146,142,148,156,152,146,135,128,125,83,153,200,187,188,187,185,199,201,203,202,205,207,202,223,230,226,200,148,127,136,141,152,156,152,142,133,134,97,162,199,191,190,189,186,199,203,205,205,206,204,205,231,226,223,171,134,142,137,126,132,150,136,129,129,117,81,170,199,193,191,189,187,201,203,206,206,208,200,215,230,223,222,191,175,156,140,117,125,152,142,139,140,114,108,200,195,194,193,190,188,202,204,205,207,206,205,226,225,225,227,224,208,164,138,148,155,153,143,132,119,119,103,180,200,194,193,190,189,203,206,206,209,200,216,228,227,227,222,222,211,154,127,136,141,143,136,120,113,111,84,179,200,194,194,192,190,202,205,206,205,201,221,226,229,223,217,214,194,153,132,126,117,123,129,126,120,93,116,201,196,195,195,192,188,201,202,206,192,209,224,225,225,216,211,205,201,183,162,124,93,110,129,124,120,87,158,205,193,196,193,188,191,201,206,198,187,221,224,225,219,219,218,209,203,211,188,137,113,132,147,132,113,99,108,200,195,193,193,199,179,203,207,187,204,221,223,221,220,223,215,204,213,210,173,124,112,121,119,109,98,82,104,200,199,202,196,142,77,205,194,197,216,219,219,215,211,206,202,202,209,189,148,118,116,111,100,91,86,95,180,208,190,142,88,47,41,200,189,209,213,218,210,202,197,190,195,191,175,152,127,116,102,92,134,144,163,186,167,120,71,41,38,40,39,189,197,212,212,213,202,190,187,185,182,178,155,134,122,126,112,140,172,143,121,83,53,28,22,31,37,34,32,179,209,209,209,199,188,176,172,181,174,163,152,141,124,100,72,66,44,32,29,32,40,15,20,26,31,29,30,194,212,209,205,195,185,170,163,163,155,143,134,112,85,56,36,25,30,29,34,38,29,7,15,20,26,28,26,207,210,207,199,189,169,151,149,140,122,109,95,71,45,35,44,22,19,23,28,33,24,3,10,17,25,26,23,211,209,205,201,175,141,139,135,125,110,79,55,40,30,29,41,27,12,24,25,27,19,1,9,18,26,23,23,211,208,203,194,145,133,153,140,116,92,48,37,28,25,25,35,28,16,24,15,24,13,0,10,18,25,20,20
15,127,131,135,136,110,102,102,102,96,57,104,109,51,14,48,67,71,75,80,85,91,104,114,119,126,130,134,138,128,132,135,135,109,105,104,104,90,65,107,111,42,18,54,66,72,75,80,86,92,105,114,119,126,131,134,138,129,133,136,134,109,107,106,106,81,75,108,108,32,21,58,67,72,76,81,87,93,107,115,119,126,131,135,139,131,134,137,132,109,106,107,109,73,85,110,106,23,23,60,67,72,77,81,87,95,107,114,120,127,131,136,140,132,136,138,132,129,118,111,106,73,93,110,100,17,26,62,68,72,76,82,88,96,109,115,122,128,132,137,140,132,137,139,133,125,124,121,117,109,108,108,96,53,50,69,71,74,77,83,87,97,111,116,123,129,133,137,140,134,138,140,127,109,103,94,104,107,109,113,118,113,106,104,100,95,91,88,88,98,112,117,124,130,133,138,141,135,139,141,124,112,106,87,85,89,88,96,118,115,113,111,113,121,121,106,94,92,97,115,124,131,134,139,142,136,140,142,123,115,113,113,101,65,86,82,99,102,101,98,105,124,134,126,106,97,76,92,123,131,135,138,143,137,140,141,121,116,115,117,98,68,115,114,64,73,92,87,110,130,137,129,119,112,87,72,112,130,136,139,143,139,142,142,118,117,116,118,91,75,118,122,39,21,64,93,139,131,136,141,136,127,106,83,80,127,136,140,143,139,142,143,118,119,117,122,90,87,118,120,30,21,70,106,145,112,138,143,151,143,116,88,72,94,136,141,143,140,144,140,120,121,126,118,105,109,107,104,40,73,121,118,94,101,141,143,153,143,116,94,79,69,118,141,144,141,145,138,120,124,129,112,116,126,125,105,86,98,104,95,73,91,154,141,128,129,117,102,84,70,79,138,145,142,145,136,121,125,117,94,104,125,125,103,91,101,100,101,106,116,119,105,105,116,116,100,83,73,64,107,144,143,145,134,124,127,124,104,88,115,113,94,96,104,104,109,117,117,101,83,87,102,102,92,81,75,65,69,130,144,146,133,128,128,127,122,67,112,92,78,88,97,100,108,117,110,90,78,79,87,89,89,87,79,71,64,79,144,146,132,130,129,128,117,70,124,79,57,64,80,86,98,108,105,90,79,80,84,84,89,91,83,77,68,61,145,147,131,131,130,131,110,95,91,65,49,43,87,94,80,94,95,88,85,86,86,86,89,89,83,77,72,64,145,146,130,132,131,132,126,87,62,55,42,22,128,130,79,87,90,87,89,95,96,93,91,87,84,80,73,68,145,146,130,134,131,137,118,68,54,70,32,15,98,133,97,91,112,108,113,114,106,97,91,84,82,83,79,70,147,144,130,135,134,135,85,61,80,120,29,17,63,104,112,82,90,115,115,112,105,94,87,81,81,83,84,77,148,143,131,137,136,140,72,101,134,126,23,20,65,73,87,72,64,93,109,102,96,89,84,83,84,86,85,81,147,144,134,140,140,144,67,123,143,125,18,23,67,73,73,73,77,90,117,100,90,86,83,85,90,90,84,81,147,141,137,141,142,144,62,129,145,118,13,26,69,71,72,75,79,81,110,127,105,83,80,80,86,91,90,84,146,139,140,143,143,141,63,135,146,105,12,29,69,71,71,74,78,82,89,124,139,115,92,80,81,91,100,90,146,140,143,145,144,135,69,140,149,93,12,35,71,70,70,73,78,81,88,103,138,116,100,107,106,110,105,96,148,143,145,146,145,128,73,141,150,81,12,38,71,69,70,73,77,81,88,101,110,108,119,124,118,121,118,113
1,132,109,94,86,89,81,28,86,113,129,143,151,162,168,171,174,179,184,186,189,192,195,197,199,202,203,203,204,135,106,99,85,97,71,34,94,116,127,161,168,127,165,175,180,182,186,188,191,194,197,199,202,205,206,205,206,136,105,106,85,106,61,41,98,118,134,171,192,106,138,166,154,188,188,192,195,197,199,203,206,207,208,209,209,136,105,110,84,113,52,52,97,145,180,129,193,129,131,176,106,170,194,194,196,199,203,206,208,209,209,210,210,135,107,112,86,117,43,61,98,157,191,119,189,148,132,193,113,134,201,195,199,202,207,208,210,211,212,212,212,131,108,112,88,119,35,69,103,153,201,127,178,170,129,196,143,112,197,198,201,206,208,210,212,214,214,214,214,129,113,111,93,118,31,77,102,151,206,125,180,203,141,176,165,106,181,203,204,207,209,212,214,216,215,216,216,126,118,110,100,110,28,86,132,142,214,147,175,210,143,175,197,117,155,210,204,208,211,214,215,216,217,218,218,124,122,106,107,103,21,125,187,129,218,167,156,201,147,172,209,136,131,210,204,209,212,215,217,219,219,219,220,122,124,103,116,93,24,137,181,122,208,171,142,199,155,152,202,151,122,207,208,211,213,217,218,219,219,221,221,121,128,98,123,81,30,135,184,116,196,179,129,205,173,140,206,164,118,202,211,212,215,218,219,220,221,223,223,123,132,95,130,69,36,133,198,118,193,196,119,191,188,133,211,174,115,191,214,213,216,219,220,221,223,224,224,124,133,95,138,57,44,128,216,134,169,209,123,145,190,110,182,183,111,179,218,214,217,220,221,222,224,225,225,130,136,96,141,46,53,117,203,136,141,210,127,131,184,127,182,186,111,155,222,213,218,220,221,222,224,225,224,133,133,99,140,38,64,107,195,161,124,188,164,165,167,183,192,151,110,129,220,214,218,220,222,223,223,224,223,137,130,104,135,30,72,101,198,175,120,179,188,159,144,171,185,133,94,108,209,217,218,221,222,224,224,224,224,139,127,110,132,26,77,101,191,167,174,180,181,186,168,208,218,149,91,80,189,221,217,221,223,224,226,226,226,145,125,117,125,24,83,101,192,193,195,160,166,176,175,206,201,157,116,74,160,226,217,222,224,225,226,227,226,151,122,128,121,24,86,104,207,206,172,148,140,154,164,170,179,182,148,91,120,224,219,224,225,225,226,227,228,156,119,137,112,24,87,100,196,198,156,132,148,156,174,203,199,201,181,130,99,209,221,221,222,224,224,225,226,159,115,146,98,27,87,92,173,196,150,132,152,158,182,220,218,208,199,155,107,201,218,217,218,220,222,222,220,159,111,155,84,26,85,91,139,199,163,139,140,166,183,217,229,202,186,145,114,204,215,216,218,220,220,227,255,158,109,160,72,41,89,94,111,185,172,150,137,164,182,214,224,198,172,131,102,203,215,216,219,222,217,229,255,157,112,153,126,104,122,128,127,166,188,164,144,150,175,207,216,192,166,125,100,186,194,196,198,197,200,189,192,155,113,156,134,72,80,83,81,99,182,171,160,148,164,200,204,176,157,119,95,109,110,114,108,138,194,192,183,151,117,160,128,77,84,86,90,85,125,179,167,160,155,179,190,164,146,111,95,109,110,106,111,189,197,188,178,146,118,161,124,77,85,86,86,90,85,148,175,167,152,148,166,150,127,104,99,106,108,100,158,209,193,186,176,139,113,163,118,73,82,83,85,89,83,109,177,159,141,134,138,133,119,95,100,105,103,108,197,202,190,178,172
16,104,118,127,132,139,147,154,161,165,170,173,179,184,187,191,195,197,198,199,201,203,203,203,204,206,206,207,207,109,123,132,136,142,151,159,166,170,173,177,184,188,192,196,200,201,202,207,209,208,209,208,211,211,210,211,210,113,127,134,139,146,155,163,170,175,178,183,188,192,196,200,204,207,204,199,196,201,210,216,215,213,215,216,215,115,130,136,142,151,159,166,173,177,182,185,189,194,200,205,200,185,173,157,135,128,128,155,205,221,218,219,220,119,134,140,145,152,162,170,178,182,188,193,196,197,192,179,164,158,163,148,124,112,99,77,97,189,223,222,222,122,135,141,148,156,165,173,182,183,187,186,177,168,160,155,159,150,141,132,102,100,104,75,58,88,212,229,227,123,137,143,148,159,168,177,180,198,190,167,138,148,149,161,143,131,135,110,82,82,84,69,68,56,161,237,228,127,140,146,152,163,171,178,197,226,205,207,139,161,183,164,121,132,116,93,77,74,70,65,67,58,134,237,230,130,141,148,155,166,174,182,206,197,203,203,154,201,204,118,114,112,81,79,69,64,63,68,71,58,157,240,234,134,146,151,159,168,176,187,181,188,215,181,172,227,194,120,108,85,68,66,64,63,59,65,70,67,196,242,238,137,149,154,160,170,178,188,185,198,222,197,191,220,170,151,127,91,63,59,62,64,63,64,60,104,229,240,241,138,151,157,162,172,182,190,195,196,218,210,192,214,187,159,120,86,63,56,59,65,66,66,56,147,244,244,244,140,154,157,165,175,186,193,199,192,218,211,206,209,179,131,89,69,52,58,63,68,68,64,62,192,250,243,246,144,153,157,167,178,188,196,203,199,215,219,215,186,144,92,64,37,32,62,74,68,68,63,76,226,249,245,247,147,157,160,169,179,189,197,204,207,215,220,199,153,104,63,11,0,40,68,78,70,68,56,96,246,248,248,250,151,160,163,172,184,192,199,206,210,206,202,163,116,84,10,0,0,42,72,89,84,74,47,120,255,247,248,249,152,160,166,175,186,193,200,207,213,195,171,128,96,54,0,0,0,25,66,91,96,74,43,146,255,249,252,251,153,163,168,176,188,194,202,209,216,199,147,102,77,32,0,0,5,6,53,102,97,69,48,162,255,250,253,254,156,163,168,178,190,197,205,210,219,194,121,66,51,52,47,24,22,32,71,111,85,71,51,175,255,253,255,255,160,165,169,180,191,198,207,212,218,185,95,90,67,39,50,44,44,94,97,117,78,72,53,195,255,255,255,255,161,166,170,182,193,201,206,218,208,152,68,220,228,139,99,69,115,118,111,113,71,70,53,203,255,255,255,255,161,165,172,183,192,201,204,201,181,84,136,248,236,235,205,159,126,120,137,111,64,67,46,191,255,255,255,255,160,165,172,183,194,201,199,188,124,77,227,236,234,219,193,157,117,142,153,116,63,62,46,159,255,255,255,253,160,166,173,183,192,209,216,162,63,181,243,234,233,220,188,158,119,155,163,120,65,58,60,74,125,100,141,195,161,166,175,180,204,245,177,72,137,233,228,235,230,217,183,156,119,151,173,129,56,61,65,44,20,22,105,134,163,166,173,178,232,179,93,153,231,225,231,233,227,213,186,158,119,125,175,148,61,61,62,51,21,66,61,49,162,167,175,184,200,157,191,227,220,227,232,235,223,210,184,156,122,102,158,165,80,59,59,41,0,34,57,43,162,168,177,188,196,212,216,215,222,227,231,236,219,207,186,149,116,102,111,152,104,61,60,25,0,16,57,35
0,184,182,183,183,184,184,183,184,184,184,186,187,183,185,185,185,185,184,185,186,184,184,184,185,185,183,183,183,184,184,184,184,185,185,186,186,186,186,187,187,187,185,184,184,185,183,186,186,184,185,185,186,185,184,185,184,184,185,186,185,185,187,186,185,187,189,186,187,189,188,185,186,186,185,186,186,185,186,185,185,186,184,184,184,186,186,186,186,187,187,186,186,181,173,187,185,183,187,187,182,183,191,189,189,190,186,184,186,187,185,185,185,187,186,187,188,188,187,184,195,180,125,117,160,158,144,166,173,157,145,179,178,177,189,189,186,187,187,186,186,187,187,187,188,187,189,187,191,186,121,60,131,163,108,97,165,151,94,94,144,119,117,152,190,187,186,186,186,188,187,187,187,185,187,183,160,180,135,83,108,152,101,73,144,130,86,74,137,115,74,83,141,193,186,187,187,189,188,189,189,185,182,174,142,154,164,109,78,133,101,66,131,124,73,79,142,110,70,93,110,147,197,185,187,189,189,190,189,186,182,173,148,123,141,113,61,120,98,52,122,141,77,78,149,123,74,103,139,95,166,194,185,190,189,189,189,188,182,169,146,117,104,89,73,115,86,45,130,136,67,92,157,140,120,115,121,96,104,200,185,190,190,190,191,188,181,174,162,138,101,89,85,94,78,58,114,111,100,152,153,143,132,111,91,79,101,196,186,191,191,192,192,189,185,178,171,159,128,91,82,77,93,101,103,132,162,165,158,146,122,109,95,69,121,200,187,191,191,192,194,190,186,183,174,168,155,114,84,86,98,104,134,169,172,170,164,147,118,101,93,67,145,202,188,192,192,192,193,189,186,191,180,176,170,141,110,111,100,116,157,170,178,182,166,141,115,98,88,73,178,197,190,192,193,193,193,191,177,194,189,186,180,162,142,136,118,123,156,166,179,186,166,135,111,97,76,108,200,191,192,193,194,194,193,195,171,186,195,193,185,171,158,150,140,132,151,171,181,176,161,126,104,99,75,161,199,192,192,194,194,194,194,199,173,173,196,197,189,178,167,157,149,143,142,163,180,169,152,119,102,90,90,193,193,193,193,194,194,193,194,197,185,157,189,197,196,184,174,166,157,143,138,149,165,157,136,112,101,75,119,204,192,193,194,194,194,194,194,195,198,158,173,196,198,183,169,166,157,144,137,143,154,145,119,103,96,70,169,199,193,195,194,194,194,195,196,193,199,177,160,197,194,173,163,165,152,148,138,130,138,135,109,98,72,115,201,194,192,195,194,195,195,196,197,195,197,188,169,194,195,177,172,177,158,150,135,120,122,127,108,85,83,183,197,195,195,196,196,195,195,196,197,196,197,192,174,196,199,185,177,185,163,148,134,117,112,119,107,71,149,203,195,197,197,198,197,195,195,197,197,196,198,193,165,194,199,191,181,181,161,145,131,119,109,115,97,79,185,199,197,198,197,197,197,195,194,195,195,196,199,193,161,193,197,191,179,173,158,142,131,122,106,111,89,95,196,193,199,198,198,198,198,194,193,194,194,196,198,191,173,192,198,191,180,170,158,145,130,123,107,105,81,110,208,194,198,198,198,198,198,195,194,194,195,195,197,184,184,192,189,188,177,168,157,145,129,121,104,100,79,125,208,194,197,197,198,198,198,196,196,195,196,196,197,182,181,188,186,187,170,162,154,145,129,116,99,95,76,144,200,193,197,196,197,197,197,196,195,194,196,198,198,180,176,186,189,187,168,153,148,143,129,113,94,90,75,165,198,195,197,197,197,197,197
7,104,114,123,129,132,134,139,145,149,153,155,157,160,162,164,166,167,169,170,170,170,171,171,171,171,172,172,170,104,114,124,130,133,135,140,146,150,153,156,158,162,164,165,167,168,169,171,172,172,172,172,173,173,173,172,171,104,115,125,132,135,137,142,147,151,154,157,159,163,165,167,168,169,170,172,174,174,174,174,173,173,174,173,172,105,114,124,132,136,138,143,148,152,156,158,162,163,165,167,170,171,171,173,174,174,175,176,175,175,176,174,174,105,116,125,132,136,139,144,148,152,156,159,162,164,167,168,171,172,173,173,175,176,176,176,176,176,176,175,176,106,116,125,133,136,138,144,149,153,157,161,163,164,166,170,172,173,173,174,176,177,177,177,177,177,177,177,176,107,117,126,134,136,140,145,150,155,158,161,164,166,168,170,173,175,175,175,177,177,177,179,178,177,177,177,177,107,117,127,134,136,141,146,150,153,158,161,163,165,168,171,173,175,176,178,180,181,180,180,179,178,178,178,178,108,118,128,136,139,138,142,158,167,163,167,172,173,176,174,168,165,172,169,170,168,169,177,181,180,179,180,179,108,119,129,135,136,150,176,190,186,172,167,181,189,190,186,171,170,186,173,163,156,140,162,164,178,182,181,180,110,118,125,143,172,191,192,186,183,166,150,156,167,172,171,154,154,171,165,154,146,138,151,135,177,187,182,180,105,125,163,189,194,187,187,192,182,158,148,164,179,182,188,169,159,168,160,170,168,153,145,154,161,165,179,183,150,185,197,190,192,189,189,191,178,148,134,138,167,174,173,169,171,165,168,176,177,168,163,166,152,166,154,170,198,196,195,194,199,191,191,196,190,134,107,112,110,101,112,127,129,135,138,138,141,144,142,144,138,148,141,173,199,202,198,195,196,193,194,203,176,120,98,103,104,81,65,73,144,163,166,168,164,162,160,160,160,162,173,183,202,198,195,192,193,193,195,193,151,104,102,108,107,100,88,68,165,188,184,187,187,187,188,188,187,189,185,184,194,194,196,194,196,196,198,194,145,95,84,93,111,125,110,80,131,189,180,183,185,184,184,184,183,184,184,184,194,200,199,197,200,199,205,192,136,93,89,59,65,108,110,91,133,188,183,185,185,186,185,185,185,185,185,183,196,193,192,186,180,178,184,150,120,99,95,90,73,96,117,134,173,181,182,183,183,184,183,183,183,182,181,180,181,180,174,165,154,160,157,126,112,105,101,89,89,99,112,118,117,116,116,117,118,115,113,113,112,110,109,108,162,162,155,149,143,141,133,108,102,97,104,98,96,96,95,94,92,93,90,91,92,92,93,94,93,91,88,86,123,135,134,126,113,105,102,102,102,100,102,104,103,103,104,103,101,105,106,102,101,99,98,99,98,97,95,95,103,106,99,94,97,100,103,102,101,101,101,101,101,101,100,101,99,104,105,103,104,99,97,96,96,97,95,96,84,79,85,99,102,104,104,102,102,102,103,103,102,101,101,101,101,100,98,99,101,98,97,96,95,95,96,91,95,85,88,101,103,104,104,104,104,104,104,105,103,102,103,103,103,101,100,100,100,99,99,96,95,98,91,109,110,94,89,97,104,103,103,103,103,104,104,104,103,102,103,102,102,102,101,100,99,98,98,97,98,93,101,184,97,91,92,92,101,103,103,103,103,104,104,104,103,103,102,102,102,102,101,100,100,99,97,98,96,92,175,184,100,95,90,86,101,103,103,103,103,103,102,103,102,101,102,101,101,101,100,100,100,98,99,97,107,158,170,152
19,108,115,121,127,131,132,135,138,142,144,147,151,153,155,158,158,160,161,163,165,166,167,168,167,168,169,169,169,109,116,122,129,131,133,137,139,144,147,150,153,156,158,158,160,163,164,165,166,169,169,169,170,168,171,170,170,110,118,125,130,133,135,138,141,145,150,152,154,158,160,159,163,164,166,167,168,169,169,177,161,169,171,171,171,112,120,127,131,135,137,139,144,148,149,165,158,136,150,164,164,165,168,169,170,168,186,194,110,156,173,172,172,114,121,128,133,136,138,142,146,150,150,196,167,125,104,159,166,166,168,177,180,190,187,132,100,166,175,174,173,114,122,130,135,137,138,143,149,151,149,186,182,138,124,166,179,171,175,188,183,164,123,99,154,177,177,175,175,116,123,131,138,139,140,151,141,145,153,171,183,175,178,174,172,163,148,160,143,105,116,161,179,176,177,177,176,118,125,132,137,135,176,182,149,141,146,160,167,159,147,140,144,133,113,111,115,149,179,179,178,178,178,178,179,118,126,134,137,144,196,160,149,153,161,169,167,157,144,139,121,122,97,163,177,181,179,180,179,179,180,180,180,118,127,135,134,159,178,141,139,148,163,167,164,162,155,131,93,88,113,186,181,180,181,181,180,181,181,182,182,120,127,135,134,182,180,154,152,159,154,144,140,139,119,105,86,73,141,185,182,182,182,182,181,183,184,183,183,121,128,136,142,216,191,171,166,167,161,158,152,131,85,83,84,77,163,185,183,183,183,183,183,185,184,184,183,123,130,136,148,208,186,164,149,141,150,151,144,117,85,80,86,89,174,183,184,186,186,186,185,185,185,186,185,124,132,137,146,189,180,151,128,107,101,115,116,115,87,83,84,114,185,184,185,186,187,187,187,187,187,187,186,124,133,139,144,181,180,150,103,88,61,65,111,121,92,87,86,111,188,185,186,187,187,188,189,189,189,187,187,126,135,141,142,180,182,152,112,79,51,96,120,114,84,81,81,91,181,188,188,188,189,190,190,190,190,190,190,126,135,143,138,181,181,152,121,97,69,69,72,67,66,75,84,88,176,190,189,190,190,190,191,190,191,190,190,127,136,142,137,187,184,155,127,102,88,79,63,64,73,79,84,91,178,190,189,189,191,191,190,191,191,190,190,129,137,143,135,186,182,153,125,104,95,93,77,70,75,81,83,101,186,188,190,192,193,193,192,192,194,192,192,129,136,143,133,177,174,149,123,102,95,92,80,73,79,85,84,127,193,189,192,193,193,193,193,194,194,193,193,131,137,144,137,175,168,144,117,101,94,91,82,78,84,87,86,163,193,191,193,193,194,195,195,195,195,195,195,132,139,144,147,179,164,140,114,98,93,93,88,86,87,84,116,189,190,192,194,195,195,195,196,195,195,195,195,132,140,142,153,183,163,134,110,97,95,96,91,86,85,126,182,190,191,193,194,194,195,196,195,195,195,196,196,133,141,143,158,175,159,136,116,101,97,95,91,82,119,186,188,190,192,194,195,195,196,196,196,197,197,197,197,133,141,143,167,169,150,133,116,99,89,87,86,84,160,188,189,192,193,194,196,197,197,197,197,198,199,198,197,133,141,147,184,165,146,122,106,94,83,81,81,93,175,188,191,193,194,195,197,197,198,199,199,199,199,200,200,134,140,153,187,168,151,130,116,115,89,79,77,105,183,188,191,192,194,195,196,196,198,199,199,199,199,200,200,134,144,150,175,171,153,136,128,121,89,80,76,107,185,187,188,191,193,195,196,197,197,198,198,199,199,199,200
15,176,151,162,118,104,178,40,25,78,74,76,79,84,88,103,121,134,145,151,156,164,171,176,180,185,187,190,194,174,156,169,109,122,176,27,37,80,75,77,81,85,89,106,123,138,149,153,159,167,174,179,183,188,191,194,198,173,158,172,100,139,167,15,49,80,75,80,84,86,91,108,124,141,152,156,161,170,178,183,188,191,195,198,201,171,161,171,92,156,154,5,57,79,74,76,79,82,90,112,130,144,154,158,163,173,182,186,191,195,199,202,205,166,163,168,88,174,135,9,74,87,89,100,111,115,96,109,126,145,159,163,168,177,184,196,201,199,202,207,209,165,177,162,121,152,136,117,121,118,127,131,124,113,107,106,108,115,126,136,144,142,132,140,176,210,213,209,213,173,183,142,128,133,125,121,105,106,107,102,99,99,115,117,115,114,111,111,126,131,119,105,87,121,192,226,221,176,159,117,114,109,108,102,96,101,102,103,100,105,120,122,117,110,104,108,125,129,126,119,99,78,80,144,215,176,179,134,103,122,89,86,90,96,100,99,100,111,121,118,112,106,105,120,125,117,123,115,104,99,90,72,93,180,190,126,128,203,44,35,86,77,80,83,86,93,108,124,143,123,117,118,119,122,123,116,107,105,111,95,77,182,194,113,145,196,26,39,88,77,79,83,86,85,101,132,189,162,135,127,118,109,118,109,112,107,127,108,91,182,194,108,162,184,15,50,88,78,79,83,85,89,100,169,174,143,109,99,109,87,86,106,115,118,140,118,101,185,192,101,177,169,7,60,86,76,80,83,86,84,124,192,147,130,97,49,62,48,38,135,141,141,135,111,107,188,188,99,191,154,2,69,85,78,80,82,85,87,180,176,131,112,90,45,30,20,36,160,163,155,125,100,106,190,182,98,205,138,0,76,84,79,80,84,78,118,215,172,125,104,65,30,32,13,67,170,173,168,128,96,98,199,176,103,213,118,0,82,83,79,80,83,79,110,197,182,140,107,55,21,30,39,83,159,183,176,134,98,94,206,169,110,227,103,5,87,82,78,80,83,85,84,167,205,171,123,72,18,52,90,79,141,183,159,125,100,83,212,160,121,234,86,9,92,81,78,78,82,85,88,126,216,197,145,80,31,22,62,133,163,157,123,111,97,69,217,146,135,234,68,16,91,79,76,75,79,80,93,110,196,214,172,145,131,128,154,156,137,112,92,94,90,73,220,137,152,230,50,26,90,76,75,74,78,79,91,113,154,219,198,179,169,168,173,130,93,86,84,82,86,89,220,125,169,220,36,36,90,75,74,73,76,79,93,112,178,196,148,136,140,166,170,116,77,78,68,76,85,77,217,120,187,210,21,44,88,73,72,72,76,80,89,128,213,155,134,139,134,159,164,119,79,73,145,122,55,54,213,112,202,193,12,53,84,67,65,65,68,71,79,136,197,143,127,122,117,142,148,123,72,107,255,143,57,56,206,115,209,188,131,125,135,124,119,115,111,114,117,135,165,144,139,155,116,90,130,129,90,123,252,144,67,60,197,118,214,193,144,101,121,119,120,119,123,128,126,120,114,126,123,181,176,95,94,136,114,127,153,113,74,66,191,122,220,188,138,105,121,119,121,121,121,122,124,124,126,129,121,132,198,150,102,132,131,130,132,105,62,61,181,131,225,184,136,112,122,122,124,124,123,127,128,128,131,130,129,127,143,150,126,134,133,132,137,107,58,32,169,141,223,182,136,115,124,121,123,124,124,127,127,128,131,131,130,132,130,129,131,131,132,131,134,105,70,47
13,146,147,151,158,163,167,169,170,173,175,180,181,182,184,187,187,188,189,188,190,191,189,190,189,190,191,190,189,147,149,153,159,164,167,170,171,174,177,180,182,183,186,188,188,189,190,190,192,192,191,191,190,193,193,193,191,149,151,155,161,167,169,171,173,176,179,181,183,186,188,189,190,190,192,192,191,192,192,193,193,194,194,194,193,151,153,157,163,168,171,173,175,177,180,182,184,187,189,190,188,191,187,191,198,198,195,194,195,196,195,194,194,152,154,159,164,168,172,175,177,180,182,184,186,189,190,196,215,213,177,141,173,185,195,200,196,197,197,196,196,153,156,160,166,170,174,176,179,182,184,187,188,190,189,190,207,216,175,124,103,142,144,178,201,196,198,198,197,153,157,162,166,171,175,178,180,182,187,189,193,202,164,148,158,205,180,130,99,152,132,113,201,199,199,198,198,154,157,163,167,173,176,177,182,184,188,179,211,224,193,158,120,170,207,155,102,158,130,112,200,200,200,199,199,154,158,165,169,174,177,180,182,185,201,158,142,214,218,183,125,106,204,161,104,163,140,121,206,200,201,200,200,157,160,165,170,175,178,181,181,210,215,174,122,142,230,197,146,81,122,144,94,189,147,150,209,201,202,201,200,158,161,166,172,175,180,179,206,208,214,198,153,93,199,191,140,87,68,94,95,165,125,169,212,202,204,202,202,159,162,169,174,178,178,194,213,167,193,206,164,89,158,184,129,85,64,103,138,149,126,127,208,205,204,204,204,160,164,172,176,179,180,217,211,174,174,186,144,91,131,183,147,82,94,160,166,142,128,114,171,213,204,206,205,163,167,173,178,179,192,212,188,155,158,171,125,80,106,194,159,88,162,192,170,138,114,120,129,212,205,206,206,164,169,175,181,180,203,221,194,163,140,155,126,76,71,180,144,133,205,188,165,137,118,108,125,213,207,207,207,165,171,178,184,183,206,226,199,176,132,128,120,79,110,187,186,202,196,176,150,132,115,91,165,218,208,210,209,166,172,181,187,184,213,231,207,181,145,123,125,151,191,212,215,209,187,164,141,126,104,104,206,211,210,210,209,168,175,183,188,187,218,234,216,181,161,169,163,176,196,210,206,200,179,155,139,118,89,136,221,208,211,211,211,171,179,186,191,190,219,226,224,191,178,180,156,188,198,206,207,189,167,148,130,112,81,174,221,211,212,212,212,174,182,189,194,195,211,221,227,203,189,182,165,192,209,198,194,173,154,137,123,94,109,219,214,215,214,214,214,177,184,192,197,199,201,223,222,211,194,180,170,185,205,195,174,161,143,133,114,97,197,223,216,216,215,215,215,179,186,193,197,202,199,216,215,212,200,191,180,177,196,190,168,150,134,127,96,175,229,217,219,218,217,215,215,181,189,195,199,204,202,206,220,213,209,204,188,175,188,184,159,132,130,104,143,229,218,221,221,219,217,223,223,183,191,198,202,206,204,200,221,208,204,199,182,169,178,170,149,122,119,111,213,225,221,223,221,220,226,196,147,184,193,200,205,207,207,204,216,186,186,193,184,171,172,160,145,128,101,164,233,223,224,222,224,229,164,88,68,186,194,201,205,209,209,204,222,193,195,203,196,174,163,155,145,128,98,198,227,227,225,233,231,156,81,81,61,187,195,201,204,208,210,201,226,204,206,212,196,178,159,154,144,126,101,212,227,227,230,188,120,76,82,91,63,187,196,202,206,208,213,202,222,219,220,219,197,181,161,152,145,122,103,216,225,234,188,92,74,63,73,90,77
2,180,180,180,181,181,181,180,179,179,178,176,176,175,174,173,174,173,170,169,169,168,166,166,163,162,160,159,159,181,182,182,181,182,181,181,181,180,180,179,178,177,176,174,175,175,172,172,172,170,167,166,165,164,162,160,158,182,182,183,183,182,182,182,182,181,180,180,180,179,178,175,176,176,175,175,173,172,169,167,166,165,164,161,158,184,184,184,184,183,184,184,183,182,182,182,181,178,174,174,172,171,174,175,174,173,170,169,167,165,164,163,160,186,186,186,185,185,185,185,184,183,184,184,190,184,173,172,168,154,154,156,158,160,166,169,169,166,165,164,162,187,188,187,187,187,186,186,186,186,184,192,210,204,198,198,195,179,157,134,121,121,148,158,163,167,166,165,164,188,188,187,188,187,187,188,187,187,181,183,194,190,182,184,187,181,174,153,125,128,145,127,138,170,167,165,165,188,189,189,189,188,188,189,187,192,199,193,196,197,186,172,160,142,148,161,154,163,134,107,148,171,168,166,165,190,191,191,190,190,190,189,194,211,201,192,191,194,190,182,175,149,150,153,135,139,119,133,171,172,170,169,166,191,192,192,192,192,191,192,209,198,166,153,163,172,164,163,183,154,143,149,113,128,144,168,176,173,170,170,168,192,192,193,193,192,193,207,207,178,176,185,188,186,172,168,173,132,114,128,138,173,178,178,177,173,171,171,170,193,192,193,193,194,197,213,196,192,205,205,184,161,146,132,132,144,167,172,178,182,180,168,151,144,159,172,171,193,193,194,194,194,202,206,204,200,185,162,139,111,95,82,118,184,186,186,184,179,149,112,96,95,107,159,172,194,194,195,194,194,204,209,210,181,141,112,90,81,75,67,84,175,187,186,184,142,96,95,101,102,93,147,173,194,194,195,193,193,211,217,192,152,113,87,74,73,70,69,66,118,186,190,161,99,97,106,110,108,117,163,173,194,195,195,192,192,222,211,165,121,97,80,71,72,72,72,71,74,121,161,122,92,109,111,107,131,161,173,173,195,195,196,192,199,225,192,143,110,96,76,69,73,73,73,76,76,70,77,95,98,108,105,129,171,177,174,173,196,196,196,191,199,210,171,130,106,89,70,72,75,80,82,85,88,84,72,94,102,100,109,164,180,178,176,173,195,196,195,190,196,201,165,126,101,83,71,74,81,89,92,97,100,101,88,97,104,101,133,181,181,179,177,175,193,194,195,185,198,202,164,127,101,86,73,75,85,97,102,107,111,113,102,95,105,105,157,182,180,179,176,174,194,195,196,179,198,196,161,130,107,93,79,77,89,104,114,117,120,119,108,97,107,141,177,181,179,177,175,176,195,196,198,181,196,191,158,130,110,99,89,79,93,110,117,119,122,116,105,108,150,178,182,181,179,180,196,210,195,196,197,181,192,188,160,133,115,106,95,81,94,110,115,117,116,111,103,139,183,183,182,184,199,204,226,231,195,196,197,181,189,183,156,133,120,110,97,85,97,105,109,109,107,104,124,174,186,183,184,221,243,222,213,232,195,196,197,182,186,181,152,133,118,108,99,90,100,101,102,103,102,124,170,187,187,185,212,243,239,242,215,211,165,166,168,161,184,179,151,131,114,107,101,97,100,100,98,102,121,155,168,167,168,207,239,244,234,227,236,203,103,104,104,121,189,176,147,124,111,108,105,100,95,100,102,93,95,98,100,99,165,239,244,244,228,215,229,227,98,100,99,140,190,171,146,120,111,108,105,101,94,100,99,92,91,91,88,134,234,242,243,244,223,205,224,229
22,153,154,154,153,154,155,155,154,154,155,155,154,153,153,152,150,151,151,150,148,147,147,145,144,143,141,139,137,156,156,156,156,157,158,158,156,156,157,161,158,156,155,156,157,153,153,151,151,150,150,147,146,145,143,142,140,158,159,159,159,160,159,159,159,159,160,136,154,160,158,149,141,157,155,154,154,152,151,150,148,149,148,144,143,160,161,162,162,162,162,162,162,161,160,117,128,166,160,158,105,149,160,156,156,155,154,151,153,129,136,149,145,162,163,164,164,163,164,164,164,162,158,133,104,166,161,164,105,132,165,157,157,157,155,154,160,110,105,155,145,164,164,166,167,165,165,167,165,164,164,147,93,157,164,165,105,116,169,159,159,158,156,159,156,97,113,157,149,166,167,168,169,168,168,169,168,168,164,149,89,143,171,167,110,108,169,161,161,160,158,163,143,89,130,157,150,169,169,169,169,170,170,170,169,170,167,157,108,122,176,170,119,101,168,163,164,161,160,167,127,88,150,155,152,171,170,170,171,171,172,172,170,171,171,166,126,104,175,171,112,92,167,165,165,162,166,162,114,101,163,155,154,172,172,172,173,173,173,173,173,173,173,170,135,85,168,174,109,91,166,168,166,164,165,146,91,127,165,156,156,173,174,174,174,174,174,173,174,175,174,169,149,88,141,180,120,94,164,172,167,166,158,125,82,157,161,158,157,174,175,175,175,175,175,174,175,174,176,165,154,122,101,174,125,91,162,174,169,170,162,106,107,172,160,160,159,176,176,176,176,176,176,176,176,176,177,172,158,142,113,149,126,104,142,176,172,167,148,91,144,170,162,163,162,178,178,178,178,177,178,177,177,177,178,179,162,160,169,164,149,155,107,110,161,161,121,93,169,166,164,163,161,179,179,179,179,179,179,178,178,179,179,181,170,162,150,142,144,152,111,81,89,116,88,123,178,165,165,165,162,179,180,180,180,179,180,180,180,181,180,180,177,171,130,71,98,146,126,104,95,95,66,151,175,169,168,165,164,180,181,181,181,180,180,181,181,181,181,180,178,162,115,80,61,110,131,116,112,109,62,156,176,170,169,168,166,181,182,182,182,182,182,182,182,182,182,181,175,161,137,105,70,67,74,97,112,93,57,126,183,170,171,168,167,183,183,184,184,184,184,184,184,185,184,183,171,164,143,100,73,78,79,100,138,115,76,82,179,171,171,169,168,184,184,185,184,184,185,185,186,186,186,184,170,164,134,101,82,83,106,156,163,142,106,58,135,180,170,170,169,184,184,184,184,185,185,185,185,186,185,184,172,165,146,114,86,87,132,173,178,160,133,66,106,184,170,171,169,184,184,184,185,184,185,185,185,185,185,185,170,164,151,120,86,95,148,177,173,156,123,61,118,182,168,170,169,185,185,185,185,185,186,186,186,186,186,186,167,159,162,124,91,103,162,179,161,136,106,54,145,178,169,169,167,186,186,186,186,186,186,187,187,187,187,187,164,155,158,126,93,102,169,168,146,118,95,66,167,175,170,171,175,185,186,186,185,185,186,186,187,187,186,188,163,151,150,126,92,93,157,156,143,111,80,79,176,174,179,171,127,190,191,192,192,192,193,194,194,193,192,195,175,150,150,126,97,95,152,153,133,99,59,107,192,171,135,88,51,131,134,137,142,145,148,152,153,156,160,165,163,151,145,124,110,92,143,148,118,84,55,130,136,82,53,51,49,95,94,95,96,95,94,95,94,93,95,94,104,155,145,124,112,87,116,121,89,65,53,66,55,40,48,56,44
12,169,169,171,173,174,174,177,177,178,178,178,177,177,177,176,176,175,175,174,174,173,172,172,171,170,168,168,168,170,171,173,174,175,177,178,178,179,179,180,179,179,178,178,179,177,175,175,174,174,174,173,172,171,171,170,169,171,172,174,176,177,179,179,180,180,181,181,181,181,181,181,181,179,177,177,177,176,176,175,174,173,173,171,171,173,174,175,178,179,179,181,182,181,182,182,183,182,182,181,180,180,180,180,179,178,178,177,176,175,174,173,172,174,176,178,180,180,181,183,184,184,184,185,185,185,184,183,182,182,181,181,180,180,179,179,178,177,175,175,173,175,178,179,181,182,184,185,186,186,187,187,185,183,176,179,184,174,154,151,181,182,180,181,180,179,178,176,175,177,179,181,182,184,186,187,187,188,188,188,193,180,144,124,176,165,128,80,150,165,165,179,181,180,179,178,177,180,181,183,185,187,187,189,189,190,190,189,197,180,134,88,138,157,124,91,97,133,100,116,178,180,180,180,179,181,183,186,187,188,188,190,191,191,188,168,189,168,124,80,124,184,140,109,92,122,94,74,135,184,182,181,181,182,183,187,187,189,190,191,192,205,187,144,161,171,131,73,134,214,151,122,112,130,97,71,115,185,184,182,182,184,185,187,189,190,190,192,207,220,191,151,121,204,157,81,119,201,138,100,155,141,107,65,126,187,185,184,184,185,187,188,190,192,194,193,215,213,194,147,98,185,146,92,104,134,113,112,183,134,81,59,141,187,187,186,185,187,188,189,192,193,194,196,224,196,171,122,86,86,99,87,92,140,172,166,138,94,58,64,170,189,188,187,187,187,189,192,194,194,195,218,216,186,133,103,79,49,63,141,173,177,175,160,130,117,76,108,190,190,189,188,188,189,190,192,194,196,198,231,210,172,127,119,70,56,147,203,202,181,164,142,121,115,84,127,193,192,191,189,189,190,191,194,196,197,200,233,210,152,146,141,89,133,209,214,205,181,158,141,115,101,72,139,195,194,193,192,190,191,193,195,197,197,208,235,214,181,165,142,159,203,216,213,198,178,151,132,109,84,61,156,195,195,194,193,192,192,194,196,198,199,214,234,221,199,186,147,181,209,215,205,191,170,139,122,99,75,53,148,196,195,195,194,193,193,194,197,199,200,214,232,224,207,191,158,192,204,206,191,179,155,129,112,89,68,51,149,197,197,197,195,194,195,196,198,201,201,210,228,223,213,187,160,181,194,190,181,170,141,115,97,77,60,60,180,198,198,198,196,195,195,196,199,201,202,207,227,220,210,175,151,171,179,183,171,156,126,104,86,70,57,138,199,201,201,199,198,197,196,196,199,201,203,206,217,213,188,156,150,169,178,183,169,144,124,101,80,68,140,198,201,201,202,200,199,198,195,196,199,196,152,191,213,202,187,178,170,169,183,183,162,130,118,90,66,141,202,203,202,202,202,201,200,198,196,198,200,165,79,107,198,206,196,181,164,150,172,169,138,111,100,72,110,199,205,204,204,202,202,202,201,200,197,198,197,113,87,74,109,160,160,150,140,131,152,139,113,96,78,88,192,207,206,206,205,203,203,203,202,200,197,200,168,88,85,82,33,66,68,66,60,62,83,89,85,73,61,169,207,207,207,206,206,205,204,204,203,202,194,194,121,84,82,86,25,36,51,49,40,35,33,34,38,31,52,183,208,208,207,207,207,206,204,203,203,201,196,169,90,82,80,83,20,20,41,44,36,32,30,27,23,15,15,124,208,207,207,206,206,205,203,203,202,200
13,154,157,160,161,163,165,167,168,168,169,170,171,171,171,171,171,170,169,169,168,166,165,164,164,164,161,160,158,156,158,160,162,164,166,167,169,169,171,172,173,173,173,173,173,172,172,172,170,168,168,167,166,165,163,161,160,157,159,162,163,164,168,169,170,172,174,174,174,174,174,173,174,174,174,174,173,171,171,169,169,167,165,164,163,158,161,164,164,165,167,171,173,174,175,175,177,177,177,176,174,175,178,177,174,173,173,172,170,168,168,166,165,158,162,163,165,167,169,172,174,174,176,175,178,179,171,175,181,177,173,177,178,173,174,173,172,171,170,167,165,159,163,165,165,168,171,173,175,176,177,177,179,168,133,106,159,171,128,103,151,182,174,174,173,173,171,169,167,160,164,166,166,170,172,174,175,177,179,177,184,177,144,113,92,134,128,81,78,182,176,177,175,174,173,170,168,162,165,166,167,171,174,176,177,178,180,180,184,194,156,134,76,103,137,102,55,159,184,178,177,176,174,171,170,163,166,167,168,171,174,177,179,179,181,182,181,191,160,123,76,81,127,100,48,144,187,177,178,178,176,174,173,163,167,168,170,172,175,177,180,181,183,186,188,183,159,119,82,63,97,83,44,141,188,178,178,177,176,174,173,163,168,169,171,173,176,179,181,182,177,149,163,161,155,121,94,62,99,90,48,158,188,180,180,179,177,175,174,163,167,169,172,174,178,181,181,185,160,107,90,96,140,160,119,73,105,107,51,156,191,181,181,181,179,176,176,164,168,170,173,175,178,182,182,194,156,115,102,71,123,184,133,74,87,99,45,97,195,181,181,181,180,178,177,165,170,171,173,177,178,179,167,131,146,133,121,82,50,130,99,66,79,75,66,58,157,192,180,181,181,179,177,165,169,172,174,177,174,187,154,95,96,150,125,107,45,23,33,49,84,83,89,76,90,193,184,183,181,180,179,166,170,173,174,175,189,191,135,112,89,124,133,106,80,23,45,62,69,112,111,100,58,161,191,182,182,181,180,166,170,174,175,179,192,152,141,128,111,87,129,113,94,40,46,110,119,123,112,100,57,139,195,182,183,181,180,166,171,175,176,179,197,153,127,126,109,87,103,106,72,42,50,134,151,146,103,87,57,154,195,182,182,181,180,167,171,174,177,182,188,152,109,100,98,74,47,77,64,54,70,151,148,140,111,75,60,180,190,185,183,182,181,168,172,175,176,181,182,171,146,105,73,50,31,64,88,71,119,170,144,131,105,59,81,197,187,188,185,183,181,169,173,176,176,178,182,179,159,128,105,90,86,88,98,108,173,166,136,116,100,50,113,202,188,188,186,184,182,170,175,175,177,180,180,174,165,142,126,103,100,118,157,169,171,151,128,107,91,47,146,200,188,189,186,184,182,170,174,175,178,180,182,171,153,139,119,100,102,113,170,167,155,138,118,99,76,50,175,196,189,189,187,185,182,170,175,176,178,181,185,164,143,139,121,107,109,109,154,161,151,128,106,89,62,67,197,191,190,189,187,186,184,172,175,176,179,180,187,175,149,140,124,117,113,111,149,157,146,121,92,80,40,115,205,190,190,189,188,185,184,171,174,174,177,180,185,189,157,138,135,121,107,102,130,144,131,104,78,59,50,182,196,192,190,189,187,186,185,170,174,175,178,180,183,188,182,148,132,116,106,99,114,130,119,92,76,40,110,206,191,193,190,188,187,187,187,168,172,174,176,180,183,185,188,169,136,116,104,103,107,122,116,91,74,44,162,199,191,190,189,188,186,185,184
7,171,172,172,173,173,173,173,173,172,172,172,171,170,170,169,168,168,166,165,165,164,165,152,85,72,62,64,86,174,174,174,175,175,175,175,175,175,174,174,173,172,172,172,171,170,167,166,166,166,164,171,104,63,49,58,74,175,176,176,177,179,178,176,177,177,178,176,175,174,174,173,172,172,170,169,169,168,167,173,129,46,39,56,63,178,179,181,180,181,181,180,179,179,179,178,178,178,176,174,174,174,172,172,171,169,169,169,162,54,27,45,57,179,180,182,181,182,181,181,181,181,181,180,180,180,181,178,177,176,175,174,172,173,170,169,173,126,71,51,70,180,181,182,183,184,182,183,184,184,183,182,180,180,168,167,173,170,163,157,162,152,169,167,167,129,131,144,131,182,184,185,186,187,186,186,185,183,184,183,184,184,163,150,172,179,163,150,153,138,179,164,151,90,152,172,159,185,187,188,188,187,188,189,188,189,194,200,199,187,165,160,165,152,152,135,134,128,126,126,159,115,166,124,144,186,188,189,190,189,186,183,194,204,207,205,195,185,175,175,166,126,126,153,140,134,123,120,124,112,138,111,174,187,190,191,190,207,197,186,189,196,195,190,187,186,186,178,160,142,134,152,149,142,143,128,104,106,141,122,176,188,192,189,204,222,206,193,185,190,193,191,190,188,184,181,157,143,134,126,116,113,111,100,94,87,99,125,164,190,191,191,220,222,206,178,168,180,192,192,188,179,165,153,132,120,111,104,110,116,124,122,129,141,149,171,179,194,192,201,227,217,197,164,167,178,167,161,152,140,132,119,105,101,167,189,180,185,187,185,186,183,183,168,113,196,192,218,225,212,192,181,177,163,153,158,161,155,150,145,153,129,94,171,192,186,184,183,181,179,177,180,119,192,201,230,221,218,215,213,185,162,168,169,167,157,146,144,139,124,65,52,177,191,186,184,183,181,179,180,165,189,217,229,224,223,223,220,180,146,159,157,152,144,138,130,120,103,74,35,148,198,186,186,184,183,181,179,179,205,230,228,225,222,218,206,171,152,139,116,101,111,126,136,143,146,83,65,178,191,188,189,186,185,183,181,178,227,230,229,226,220,211,197,179,160,142,122,122,154,173,159,146,160,108,170,196,189,189,190,187,185,184,181,179,228,230,229,224,213,206,189,166,164,167,145,154,166,154,143,134,129,95,186,196,191,191,190,188,186,184,184,181,229,228,226,222,208,187,163,170,187,176,152,152,148,140,134,126,99,87,195,196,194,192,190,190,188,186,184,182,230,227,223,216,196,181,185,201,198,180,157,131,117,103,90,77,78,154,201,194,196,194,192,190,189,188,185,182,227,221,214,204,196,198,200,195,186,162,133,102,100,115,85,131,180,201,197,198,196,195,193,190,188,188,185,184,219,212,205,203,203,203,187,176,173,154,124,102,177,208,197,207,204,199,200,197,196,196,194,193,189,188,187,186,207,205,207,200,196,194,179,175,165,129,95,178,213,202,205,201,200,201,200,199,197,196,196,194,192,190,187,185,199,195,200,194,185,180,175,160,128,88,165,214,203,205,203,202,202,202,202,200,200,197,196,194,192,189,189,180,198,192,188,177,167,165,153,126,85,152,214,203,204,204,203,202,201,201,199,197,197,196,196,194,191,194,189,169,194,185,172,155,147,138,112,86,154,213,207,207,205,205,203,202,201,201,199,198,197,196,195,191,193,172,165,181,173,160,142,126,115,100,82,157,217,205,207,207,207,205,203,202,201,201,199,199,198,196,195,194,185,81,61,126
24,169,172,173,176,179,181,181,183,184,185,185,187,186,187,187,187,187,187,187,186,186,185,186,185,185,183,182,181,171,174,176,179,181,184,184,185,186,187,187,188,189,189,189,189,190,190,189,189,188,188,188,187,187,185,184,183,173,175,178,180,183,185,186,187,188,190,190,191,192,191,190,191,192,192,193,192,190,189,190,189,188,187,185,185,174,176,179,181,183,186,188,190,191,192,193,193,194,193,194,194,195,194,194,194,192,192,192,192,191,190,189,188,175,177,180,183,184,187,190,191,193,195,194,195,195,195,196,197,197,196,197,196,195,196,195,194,194,193,192,190,178,180,183,187,188,194,189,193,195,195,195,196,197,198,198,199,199,200,200,199,196,197,197,196,196,195,194,192,180,182,186,188,202,214,166,192,197,198,198,199,201,201,200,200,201,201,201,199,198,199,199,198,197,196,196,194,182,185,188,191,202,221,167,180,199,201,200,200,201,201,203,202,202,227,216,185,197,201,201,201,200,200,199,196,183,186,189,193,195,223,191,166,199,203,202,210,201,206,233,204,183,242,227,174,163,203,202,201,202,201,200,199,184,187,191,194,196,209,229,188,181,203,214,241,212,208,244,217,169,223,232,181,133,197,204,203,203,203,202,199,186,190,193,195,198,200,233,212,168,195,227,250,233,200,241,228,180,204,229,181,124,187,207,207,206,205,204,185,188,191,194,198,200,201,213,229,211,197,219,253,240,202,221,228,183,176,213,167,115,179,209,209,206,212,193,151,190,193,196,200,201,203,205,229,235,225,223,248,245,210,187,225,189,144,186,152,109,156,211,208,195,198,169,136,192,196,198,201,203,206,206,212,237,229,242,246,237,200,161,207,187,128,151,152,105,118,194,188,195,183,141,167,194,196,199,202,204,206,208,208,231,243,233,221,220,190,158,170,173,136,141,169,122,151,173,195,191,147,156,205,195,198,201,203,206,207,209,210,223,246,217,196,191,204,190,149,189,152,133,181,200,217,206,189,162,143,201,211,196,200,203,205,207,209,211,213,218,244,224,203,194,204,199,178,190,169,176,235,236,220,197,162,137,172,213,212,197,201,203,206,208,211,214,215,217,249,245,219,197,200,219,229,214,216,239,242,230,212,185,149,142,205,215,215,199,202,205,208,209,212,214,216,215,242,252,234,209,199,224,243,251,253,251,240,225,201,172,139,171,217,217,216,200,204,207,209,212,213,216,216,216,235,254,244,226,212,216,243,253,255,248,240,222,191,152,138,206,219,219,216,201,205,207,209,212,215,217,219,220,229,254,251,238,226,220,239,251,253,244,236,214,182,141,169,220,221,220,218,202,206,208,211,214,216,218,220,222,223,248,253,243,230,219,229,242,244,235,219,196,170,145,211,223,222,222,220,203,207,210,213,215,217,219,222,223,223,234,253,243,224,208,217,227,225,211,191,162,136,181,225,226,224,223,223,203,208,210,214,216,218,219,220,222,224,227,250,233,209,193,196,203,206,191,162,129,142,221,225,225,225,225,224,204,207,210,214,215,217,218,178,163,166,174,210,193,189,192,197,208,196,174,142,108,185,228,226,225,225,225,224,204,208,211,214,215,218,219,154,131,128,112,107,103,106,103,106,104,97,95,91,83,133,181,226,227,225,224,223,204,209,212,215,217,220,223,165,132,127,109,96,88,78,70,62,55,52,50,48,47,49,111,225,227,227,227,225,206,209,212,215,217,220,224,176,133,123,108,93,85,76,68,59,52,49,48,46,45,47,181,229,228,228,228,226
11,188,191,194,197,201,201,203,205,206,206,205,205,206,204,203,202,201,199,198,198,195,195,193,191,190,189,187,184,191,194,197,200,203,203,206,207,208,208,207,207,207,206,206,204,204,202,200,199,197,197,196,195,192,190,188,187,193,197,199,202,205,206,208,209,210,210,210,208,209,208,206,206,206,205,202,201,201,200,197,196,194,193,190,189,195,198,201,204,207,208,210,211,210,213,212,212,212,210,209,208,201,204,207,204,202,201,200,197,197,195,193,190,197,201,203,205,208,211,214,214,212,213,213,213,213,213,210,217,200,140,203,206,203,203,203,200,200,198,194,192,198,203,204,207,211,213,214,214,214,215,215,215,214,214,211,224,209,113,177,215,204,206,205,204,202,199,196,196,200,204,208,210,212,213,215,217,216,217,216,217,216,215,212,224,202,121,169,219,206,206,206,205,202,201,199,197,203,205,210,212,213,215,219,220,220,219,219,218,219,218,212,231,215,131,168,221,209,207,206,205,205,201,200,198,204,207,210,214,214,218,221,221,221,221,220,219,219,221,213,239,225,139,157,223,210,209,208,207,206,203,201,200,206,209,212,214,217,220,221,222,221,222,222,221,220,221,215,240,208,127,156,224,209,210,210,209,207,205,202,201,207,211,213,216,219,221,222,222,222,222,223,221,224,227,223,240,200,120,161,225,211,213,212,211,209,207,204,202,209,212,216,220,222,223,223,223,224,226,230,230,212,173,200,247,197,126,172,226,213,214,214,212,210,208,207,203,212,213,218,221,223,224,225,231,234,219,184,202,199,137,123,216,169,113,185,226,215,215,214,214,212,210,206,205,213,216,218,221,225,226,227,190,199,213,146,98,179,163,95,105,113,95,209,224,219,217,215,214,213,211,207,206,214,218,221,222,225,231,231,174,110,197,164,93,179,161,93,80,85,117,229,220,220,219,220,218,217,216,211,206,214,219,222,226,225,245,238,205,108,172,174,93,166,140,90,83,82,129,234,221,222,219,214,208,197,193,210,213,218,220,223,226,235,255,242,200,111,128,154,84,147,134,86,72,69,123,236,221,222,215,203,193,166,149,146,185,219,222,225,225,248,239,218,198,118,91,137,86,171,149,97,64,74,130,238,214,226,225,184,148,118,111,91,112,221,223,228,226,252,255,223,186,98,112,157,91,213,199,115,73,94,124,209,219,219,166,96,83,132,161,153,171,222,224,229,228,255,255,227,164,120,143,227,123,203,198,91,89,137,151,194,210,167,90,97,197,230,226,224,219,222,225,229,228,255,255,209,182,173,128,255,144,95,155,127,154,156,148,169,149,89,111,221,229,220,217,214,213,221,226,229,228,255,251,224,200,163,147,194,134,147,202,194,169,146,127,126,84,101,229,228,222,222,220,217,214,223,228,231,230,249,251,235,207,189,207,217,224,200,184,173,155,141,111,82,92,214,234,225,226,224,222,220,216,224,228,232,231,243,246,228,204,175,175,196,202,185,180,155,146,132,74,111,217,236,229,229,227,226,222,220,218,223,229,228,237,242,238,221,178,151,172,189,181,174,159,146,134,81,127,236,239,230,230,229,228,226,222,221,219,221,232,119,83,215,222,202,170,173,184,181,170,155,136,106,83,153,243,235,232,231,229,228,227,225,222,219,217,234,172,64,53,114,201,214,209,199,172,170,148,117,74,112,215,246,235,234,234,232,230,229,227,225,222,220,217,223,100,65,76,63,99,175,189,177,159,146,123,83,81,235,249,236,237,235,234,232,230,229,227,225,222,220,219
11,145,148,152,154,157,159,161,163,164,165,165,166,165,166,165,166,166,165,164,163,163,161,158,159,157,156,153,151,147,151,153,156,158,160,163,164,166,167,167,167,166,167,169,167,166,166,165,164,164,162,160,160,158,157,155,153,150,153,157,159,162,164,165,167,168,169,169,169,170,161,152,171,167,167,166,165,164,163,163,161,160,158,156,157,153,156,159,162,164,167,169,170,171,171,171,170,176,178,108,171,170,168,169,168,166,166,165,162,161,159,163,141,156,159,161,164,166,170,171,172,173,173,174,170,182,191,99,165,175,171,171,171,170,168,166,165,163,162,163,94,157,161,164,167,170,172,173,173,175,175,178,171,192,189,88,165,177,174,172,171,172,170,169,167,165,169,149,64,159,163,165,170,172,174,176,177,179,181,177,175,216,183,91,176,178,176,175,174,173,172,171,171,169,174,135,52,163,166,169,172,174,176,179,179,179,170,193,165,211,171,101,185,179,179,178,178,175,176,174,173,171,175,147,73,165,169,172,174,176,180,175,207,188,117,171,147,107,152,106,165,185,180,180,180,179,178,176,177,174,173,167,91,166,170,173,177,180,175,203,224,207,162,102,132,92,118,101,136,193,181,182,182,181,180,179,179,177,175,177,111,169,172,176,180,178,191,237,181,189,187,114,101,97,132,106,144,195,184,185,185,184,183,182,180,179,177,180,153,171,174,177,180,183,228,212,144,143,183,105,95,91,130,105,150,197,187,188,187,186,185,184,182,181,180,179,174,172,176,180,177,207,235,176,137,160,159,77,103,90,120,97,162,197,189,191,191,188,187,186,185,183,183,181,178,174,177,182,178,219,224,163,112,126,132,80,100,89,117,93,183,196,191,192,191,189,188,186,185,184,184,183,182,175,179,183,179,224,227,177,130,85,86,111,81,100,114,98,198,194,193,193,191,191,190,189,188,187,185,185,183,177,181,184,182,234,225,169,119,85,71,118,78,129,121,72,163,207,195,197,198,193,186,183,181,187,192,187,185,178,183,186,187,243,222,169,128,93,74,84,70,121,107,64,88,182,196,184,165,153,144,140,129,120,157,192,185,179,184,185,194,245,219,173,137,104,84,87,93,110,112,108,106,112,130,135,149,156,141,117,108,91,109,195,187,181,186,186,197,242,215,174,140,109,90,93,133,160,159,148,136,120,122,141,140,120,102,120,163,176,181,191,189,182,187,189,196,241,217,183,149,118,97,109,157,155,143,138,131,117,107,102,106,140,169,197,203,199,196,192,190,184,189,189,202,239,220,189,150,130,106,122,150,149,138,122,118,95,86,135,193,207,204,199,196,197,196,193,190,185,193,186,215,243,221,186,147,129,111,119,132,138,129,109,90,111,176,210,206,202,199,200,199,198,197,195,193,187,191,190,236,234,205,170,138,118,111,121,117,125,118,87,139,209,212,203,204,204,202,202,200,199,199,197,194,189,187,226,243,222,194,159,132,115,115,119,107,102,96,156,218,211,207,206,205,205,203,203,201,200,200,198,196,186,196,244,232,208,187,155,137,123,113,109,89,123,194,218,210,209,209,207,206,205,205,203,202,201,200,199,197,183,209,243,226,184,154,147,135,115,106,85,111,209,218,210,211,211,210,209,208,207,206,204,204,203,201,200,197,185,224,242,217,164,134,128,121,105,91,93,194,218,212,214,213,212,211,210,208,208,207,205,205,204,201,199,199,196,237,237,205,142,127,123,112,96,81,163,222,213,217,216,213,213,212,211,209,208,208,207,206,205,203,201,201
1,176,179,182,183,186,187,187,188,190,190,190,191,191,188,191,195,189,192,192,191,190,191,191,191,191,191,190,190,179,182,185,186,188,190,190,191,192,192,191,193,195,199,177,160,196,192,194,193,192,192,193,193,195,193,191,191,184,186,188,191,191,192,192,192,194,195,193,197,184,203,192,99,196,202,193,194,194,194,196,195,196,195,194,193,186,188,189,192,193,194,194,194,196,199,195,217,171,153,202,96,164,178,197,197,199,199,199,198,199,198,197,196,188,190,193,195,196,198,198,198,199,201,195,222,167,147,204,101,128,132,149,211,198,201,200,201,202,200,199,199,190,193,194,196,198,198,201,201,201,201,201,222,172,150,217,133,127,162,107,210,201,202,202,203,202,202,201,200,192,195,196,198,200,201,202,202,203,203,180,224,189,136,220,154,119,172,103,191,209,205,206,204,203,203,203,202,194,197,199,201,200,202,205,205,205,215,137,184,212,125,205,166,128,194,129,163,214,206,208,208,208,207,205,204,196,199,200,201,204,205,207,206,209,219,126,174,212,125,187,178,137,212,162,134,217,208,209,210,209,209,208,206,197,200,202,203,206,207,210,208,212,226,134,177,210,129,193,193,135,187,194,122,200,215,212,211,210,209,209,208,200,201,204,206,208,208,212,209,216,226,136,189,232,148,176,213,132,164,212,131,171,224,212,212,213,212,212,211,200,202,205,206,208,210,213,211,218,215,134,179,233,143,138,208,125,163,225,149,143,225,212,215,214,214,214,212,202,205,207,209,210,212,214,212,221,214,158,139,222,112,125,199,125,143,220,167,126,220,217,216,216,215,215,213,202,205,208,209,211,212,214,212,227,217,150,106,208,185,165,157,181,192,165,148,118,207,222,217,217,216,217,215,204,206,209,211,214,213,216,213,228,207,150,154,154,222,170,173,210,177,146,154,109,175,229,216,218,219,218,217,206,208,209,211,215,214,215,216,224,205,196,191,125,186,194,225,214,191,144,139,120,124,232,220,221,221,220,217,206,209,212,213,214,215,216,218,224,199,184,173,131,183,227,224,193,221,202,152,116,97,217,226,220,222,222,221,205,209,211,214,214,216,216,220,234,194,165,157,187,203,192,171,137,233,239,214,161,85,190,232,221,223,223,222,205,208,209,213,214,214,215,221,244,202,155,158,148,144,134,126,165,214,233,211,181,125,165,238,222,224,222,222,205,208,209,210,213,214,215,220,253,221,153,153,152,152,168,202,239,215,208,195,154,118,145,236,221,223,223,222,206,208,211,212,214,214,215,218,250,240,164,158,178,174,231,243,237,227,203,182,145,85,144,237,221,223,223,222,207,209,212,214,215,216,216,219,247,255,186,169,191,172,225,246,244,231,198,168,136,80,137,237,222,223,224,223,205,208,211,215,215,216,217,217,242,255,204,182,209,170,222,254,251,231,190,156,126,81,158,238,223,224,224,223,206,207,210,214,215,216,217,214,233,251,220,199,221,171,205,255,250,217,181,148,115,85,195,234,225,227,225,225,213,214,215,218,220,221,222,218,225,245,234,215,212,188,182,255,243,208,175,141,103,91,222,228,226,227,225,225,172,177,182,189,191,193,199,201,205,240,247,231,203,191,160,242,233,197,163,130,96,113,240,233,237,237,228,226,96,100,103,104,104,107,111,113,110,224,244,219,195,181,155,211,216,183,148,122,101,113,171,173,174,176,205,233,103,105,106,106,108,107,107,111,93,191,234,204,191,179,159,190,203,177,138,120,109,100,99,98,125,187,210,220
1,158,161,166,169,173,174,174,177,178,178,179,178,180,184,179,179,180,180,181,181,181,181,182,180,179,180,179,177,163,166,170,173,177,178,179,181,181,183,183,189,174,167,187,182,184,184,184,183,185,185,185,184,183,182,181,181,166,171,174,177,180,182,182,183,185,187,179,202,184,101,194,195,189,189,188,187,188,189,189,189,188,186,185,185,171,174,178,181,184,186,187,188,186,210,186,146,199,87,156,166,195,194,193,193,193,193,193,193,191,191,190,189,173,178,180,186,189,190,190,195,188,221,188,118,200,89,101,111,155,206,194,196,197,196,197,195,194,195,194,191,176,180,185,189,192,193,194,198,194,222,197,121,204,122,107,139,106,212,197,198,200,200,201,198,197,196,196,195,179,184,190,192,194,198,199,204,190,210,222,119,196,158,96,154,91,189,205,203,203,202,203,203,202,201,199,199,184,188,192,195,197,201,199,213,203,130,231,132,164,172,102,172,123,157,217,205,206,207,207,206,205,204,203,200,188,192,195,199,202,205,202,222,208,100,223,147,137,183,122,189,172,122,213,208,208,210,208,208,207,206,205,203,192,195,198,201,204,208,204,222,211,107,215,160,139,207,148,155,202,116,188,220,213,213,211,210,210,208,207,205,193,197,200,202,206,210,207,226,227,118,215,204,135,211,163,127,220,149,150,227,213,216,216,215,213,212,211,208,196,199,203,205,209,212,210,229,228,117,198,221,121,166,169,109,226,183,125,219,219,219,218,217,216,215,214,213,199,202,206,209,214,216,212,227,230,144,149,213,86,138,186,93,197,200,120,196,228,220,220,220,219,219,217,214,202,205,208,213,215,217,216,229,240,167,101,205,160,168,175,183,208,158,123,162,236,220,223,222,221,220,218,216,203,206,210,214,216,219,219,229,241,149,112,181,228,176,156,228,200,139,139,109,227,226,225,224,223,221,220,218,203,207,211,215,217,222,221,230,235,185,201,143,190,180,184,238,171,137,150,98,183,238,226,226,224,224,223,222,204,208,212,215,219,224,222,231,238,212,201,141,145,201,243,231,210,171,123,100,134,241,229,229,227,225,225,224,204,210,215,217,220,225,223,239,241,187,176,145,174,235,237,185,201,228,190,125,94,234,232,231,229,228,228,227,206,211,216,221,222,225,223,243,252,179,152,170,203,180,159,111,179,255,235,190,112,202,241,232,232,232,231,228,206,211,216,218,223,224,224,239,255,201,147,151,133,130,122,192,216,228,231,185,131,143,247,233,235,233,231,229,206,211,214,216,222,223,223,229,255,230,146,159,168,194,236,255,248,227,209,167,101,138,247,232,234,233,232,231,206,211,214,217,222,224,223,228,255,255,170,168,186,197,255,255,253,227,194,160,86,147,249,230,233,234,233,230,208,213,215,220,222,224,226,226,254,255,204,175,201,184,249,255,255,227,183,148,82,166,248,233,236,235,233,232,209,212,214,218,222,224,226,226,243,255,229,187,227,175,233,255,255,218,170,133,80,185,249,235,238,235,233,233,208,213,214,218,221,224,227,228,231,255,245,208,236,184,205,255,243,202,163,122,77,194,248,235,238,236,233,231,209,216,220,223,228,232,232,237,235,246,252,233,223,199,169,255,238,198,152,113,76,213,251,240,237,236,237,236,119,125,130,138,142,146,150,156,151,195,255,243,212,192,155,211,228,180,135,104,91,211,223,228,240,245,238,234,93,91,92,94,94,95,97,100,87,132,255,224,198,179,148,175,204,162,121,100,99,113,163,233,227,223,246,232
1,147,148,149,149,150,150,150,151,151,150,150,150,150,149,149,151,139,120,143,141,142,140,137,136,135,134,131,129,152,152,153,154,154,154,155,155,155,154,154,155,154,155,143,140,150,68,138,155,144,144,141,140,138,137,134,132,156,157,158,158,159,158,159,160,159,159,158,159,157,165,147,81,148,64,77,113,150,146,145,143,143,141,138,136,161,162,162,162,163,164,163,163,162,162,163,163,160,173,137,74,148,51,32,55,130,156,148,146,145,144,142,138,164,165,165,165,167,167,167,167,167,167,167,170,168,178,110,79,145,33,69,75,103,165,150,150,149,147,144,142,169,169,170,169,169,170,170,170,168,168,172,145,148,181,86,96,150,40,96,81,85,168,153,154,153,151,148,145,173,173,175,174,174,175,175,174,172,172,176,131,90,182,85,119,137,36,106,84,84,172,158,158,155,152,151,148,177,177,177,179,178,177,178,177,178,176,180,116,86,167,72,138,106,38,131,96,85,175,161,162,158,156,154,152,179,180,180,181,180,179,179,179,179,179,182,87,106,139,71,152,102,69,158,85,84,178,164,164,161,159,157,155,183,183,183,184,183,183,182,183,183,183,181,78,115,142,82,159,109,77,158,74,88,182,166,167,164,162,160,159,185,185,186,185,186,187,186,185,184,187,170,62,120,154,72,155,104,58,152,91,102,184,168,168,167,165,163,160,188,187,187,188,188,188,187,188,185,192,159,52,133,136,45,139,72,57,164,87,105,188,171,171,171,169,166,162,190,190,190,190,190,192,191,191,190,193,165,57,124,119,57,146,68,75,157,76,103,190,174,176,173,172,169,165,192,193,193,193,193,193,193,192,191,195,143,64,134,125,126,149,118,80,107,79,108,191,177,179,176,172,170,169,193,194,194,194,194,194,193,194,194,189,143,140,123,96,112,115,122,102,82,71,75,186,179,179,178,175,172,171,195,195,196,196,195,195,196,195,195,188,165,126,88,78,93,117,123,95,81,89,51,163,188,179,179,178,175,172,196,196,197,197,197,197,198,198,199,191,147,91,74,77,97,138,127,109,147,135,58,127,198,182,182,179,178,175,199,198,199,199,199,200,200,201,195,185,139,80,79,92,109,145,155,154,128,150,93,93,199,183,184,180,178,177,199,201,202,201,201,202,201,203,189,181,150,86,64,96,128,155,169,182,115,147,121,61,185,188,184,183,180,178,201,202,202,202,202,203,202,205,185,180,163,102,56,97,135,158,165,170,148,126,82,40,182,190,186,186,183,180,203,203,202,204,204,204,204,208,181,177,168,118,74,78,136,173,173,167,131,114,46,67,202,188,187,187,185,183,202,203,203,204,205,206,205,210,183,162,159,120,85,75,149,188,182,166,119,84,30,139,205,189,189,188,187,185,202,203,204,205,206,206,204,210,192,154,147,123,94,88,160,179,160,139,99,55,45,196,195,192,192,188,187,186,201,203,203,203,204,205,205,208,201,162,150,130,105,100,160,168,148,114,81,26,103,211,192,193,192,189,186,185,202,204,204,204,205,206,206,206,208,167,149,144,116,99,146,149,130,91,49,23,178,199,193,193,190,187,185,183,203,204,205,205,205,207,205,207,211,176,154,143,117,98,123,115,87,54,3,115,209,193,195,194,191,186,183,183,203,203,204,206,206,206,206,208,204,175,160,143,120,103,105,93,54,10,104,211,197,197,195,194,192,191,195,183,203,203,204,206,206,207,207,211,187,166,170,149,141,118,92,74,19,56,215,201,200,199,196,194,193,176,137,73
14,184,185,185,185,185,186,186,186,186,185,185,185,185,186,185,183,183,181,180,179,178,177,176,175,174,173,171,170,186,187,187,188,188,187,188,188,187,187,187,188,188,187,187,186,185,183,183,182,180,180,179,178,177,175,173,172,188,189,190,190,190,190,190,190,190,189,190,190,190,189,188,187,187,186,185,185,183,183,182,181,180,178,177,175,191,192,192,192,193,193,193,193,193,192,192,193,192,189,181,175,178,181,179,177,176,176,181,183,182,181,180,179,194,195,195,195,196,196,196,195,195,195,194,192,190,186,175,163,164,164,157,158,154,141,155,179,185,183,182,181,196,197,197,197,198,198,198,198,198,196,193,183,180,184,185,179,173,158,135,134,140,125,115,145,177,184,184,182,198,199,199,199,200,200,199,199,199,198,196,190,185,186,184,176,166,155,140,127,132,132,112,117,147,167,182,185,201,201,201,201,201,201,201,200,200,199,196,183,171,163,151,134,118,118,131,138,142,138,111,109,124,126,163,184,202,202,203,203,203,203,203,202,202,199,192,176,168,161,140,116,101,101,103,124,137,125,103,90,93,84,111,161,204,204,204,204,204,204,204,204,200,191,189,189,183,167,146,129,126,131,120,151,167,157,155,130,93,69,76,109,207,207,206,206,206,206,207,206,199,190,188,180,163,136,116,108,106,112,135,184,198,196,196,186,135,79,78,88,208,208,208,208,208,208,208,207,197,187,172,145,113,79,63,61,65,106,173,200,202,202,200,179,121,95,98,95,209,209,209,209,209,209,209,206,196,179,140,96,66,52,50,52,60,135,199,204,204,203,195,146,107,111,108,91,210,211,211,211,211,211,211,206,196,173,122,75,57,55,57,59,71,155,205,206,206,203,174,118,109,114,103,90,212,212,212,212,213,213,212,206,195,167,116,70,60,58,57,58,73,166,208,208,207,197,141,101,106,106,95,119,214,214,214,214,214,215,213,205,193,157,103,71,67,59,55,54,63,144,202,208,206,172,115,97,98,95,102,160,215,215,215,215,215,216,212,203,192,156,109,84,70,59,57,53,51,85,148,189,183,128,104,102,93,92,140,191,217,217,217,216,216,216,211,202,195,164,120,90,68,60,62,63,63,68,86,122,122,97,101,101,92,123,185,202,217,218,218,217,217,217,210,200,193,164,124,93,68,62,68,75,79,83,88,94,90,92,100,94,108,172,204,205,218,219,218,218,218,218,209,195,190,166,133,97,68,63,72,83,87,91,97,104,100,94,98,96,147,201,208,206,218,219,219,219,219,219,210,193,189,170,137,101,74,64,74,88,92,94,101,111,110,98,89,111,184,210,210,208,219,219,220,220,220,220,210,195,192,173,143,111,82,66,75,91,95,99,106,116,114,99,92,148,205,212,211,209,220,220,221,222,222,221,210,197,194,172,141,112,88,69,74,92,97,102,111,117,110,93,119,192,213,213,212,211,222,222,223,223,223,222,210,197,191,165,137,113,93,74,71,91,97,103,112,113,101,90,152,210,215,214,213,211,222,222,223,223,222,222,208,195,187,160,134,116,96,78,70,86,96,101,107,104,90,106,186,215,215,215,213,213,221,222,222,223,222,222,206,190,182,157,133,115,95,79,69,80,93,96,97,91,88,149,210,217,216,215,214,213,222,222,223,223,223,222,205,185,176,154,130,110,92,79,70,76,88,90,87,84,122,194,216,216,216,215,213,212,223,223,224,224,223,222,203,182,171,151,127,106,91,79,71,75,83,85,79,101,177,214,217,216,216,215,213,212
14,133,135,137,140,143,146,148,150,150,151,153,155,156,156,158,159,159,158,159,159,160,160,160,160,160,160,159,159,133,136,138,141,145,147,149,150,151,152,155,156,158,158,160,161,160,161,162,162,163,163,162,162,162,161,162,161,134,136,139,142,145,147,150,151,153,154,156,158,159,159,159,163,163,163,164,163,164,165,164,163,163,163,163,163,134,137,139,143,147,148,151,153,153,156,163,160,162,157,146,139,145,157,161,164,165,166,166,165,165,165,164,165,137,141,143,146,148,150,152,153,153,174,177,167,154,140,129,130,126,126,120,125,156,166,166,166,165,166,165,165,137,141,145,148,150,152,153,153,170,193,165,135,117,98,80,96,107,102,86,89,99,165,168,168,167,167,167,167,139,142,144,147,151,152,154,156,203,179,131,92,76,68,65,64,75,78,77,83,78,127,168,167,167,170,169,167,139,142,145,149,151,152,154,180,205,153,109,85,60,55,57,48,56,74,90,89,72,84,113,128,135,170,170,170,142,144,147,150,153,154,155,206,178,123,92,67,53,59,57,49,51,69,90,95,71,84,73,101,111,170,171,172,143,145,148,151,154,154,175,209,156,108,83,57,46,51,50,57,60,143,164,164,135,93,89,100,117,172,171,172,143,146,150,151,155,157,209,200,147,105,88,75,56,38,49,60,90,169,173,173,173,114,115,103,115,174,172,172,143,147,152,155,153,181,221,193,144,103,87,77,61,51,52,63,144,173,173,175,172,112,123,104,95,171,172,172,144,148,153,154,151,195,218,190,142,98,83,71,57,57,60,94,173,174,174,175,169,107,122,106,84,151,175,174,145,150,153,156,150,193,220,191,149,110,81,63,52,54,55,124,175,175,175,177,167,105,116,106,89,136,175,174,146,151,155,157,151,195,221,191,152,120,89,66,55,52,51,132,176,178,176,178,157,120,129,114,95,147,176,175,146,152,156,158,149,202,220,194,158,123,95,76,52,50,50,109,166,173,176,178,141,124,132,118,100,162,178,176,148,152,155,159,149,205,221,198,160,130,105,89,58,56,62,68,88,103,128,157,116,122,131,117,106,171,179,179,149,153,156,160,148,204,219,196,162,136,115,97,71,57,68,72,79,91,100,104,103,123,128,113,113,178,180,179,150,154,159,161,150,202,215,195,164,140,117,99,81,57,71,81,94,104,111,113,99,104,121,109,127,180,180,180,151,156,159,161,150,203,213,196,164,140,115,98,88,65,78,91,106,113,114,113,101,95,106,102,146,181,181,181,153,158,160,162,148,200,207,189,161,136,112,98,90,76,83,95,108,113,113,112,104,99,103,98,162,182,181,181,153,158,161,164,151,196,200,181,158,134,113,103,94,86,90,99,106,110,108,107,104,104,103,124,178,182,181,182,153,157,162,164,157,199,201,182,160,137,122,110,99,92,96,102,106,109,106,104,106,107,135,175,184,185,184,182,154,158,162,165,159,205,204,184,163,138,121,107,100,96,95,103,106,109,106,107,106,145,180,185,185,186,184,185,155,159,164,166,156,209,204,187,165,137,115,102,102,102,98,105,108,110,108,106,128,179,185,185,186,186,183,185,156,161,164,166,157,209,199,182,161,133,110,103,105,105,103,108,112,111,107,126,176,185,186,186,186,186,184,185,158,162,164,167,160,207,197,182,163,135,108,103,104,102,100,106,111,107,133,179,186,187,187,187,187,187,186,185,159,162,164,167,165,203,198,185,171,146,108,101,101,101,100,104,105,128,178,188,188,187,187,187,186,187,187,187
10,40,75,79,83,89,94,103,113,122,125,129,133,138,142,145,147,151,153,153,155,155,155,155,157,157,157,155,154,46,76,80,85,90,95,105,114,123,128,132,136,141,145,147,150,153,163,151,156,158,157,158,158,158,158,157,156,51,78,81,85,91,96,106,117,125,131,135,140,145,148,151,152,160,191,139,146,160,160,161,160,160,159,159,158,58,78,83,87,91,97,108,120,128,133,138,143,148,150,153,156,165,190,150,130,164,163,164,163,163,162,162,160,63,80,84,88,92,98,110,122,131,135,140,145,150,154,157,158,164,194,168,123,165,166,166,166,165,164,164,162,68,80,84,88,93,100,113,124,133,149,146,143,153,158,160,161,164,203,189,126,163,169,169,168,166,167,166,165,73,82,85,89,94,101,114,126,136,191,143,108,142,159,162,164,166,202,189,133,155,172,172,171,170,170,169,167,77,82,86,90,95,103,116,127,137,164,131,102,100,165,147,140,169,199,195,140,142,174,174,174,173,172,171,170,79,82,86,91,96,103,117,129,139,145,137,116,104,162,122,114,171,201,202,147,127,177,177,176,175,174,174,173,81,83,86,91,96,104,118,130,141,145,149,142,134,173,118,79,163,194,176,134,105,177,180,179,178,177,176,175,83,85,87,91,96,105,120,133,142,147,152,161,148,179,127,84,129,170,131,108,91,172,181,181,181,180,178,178,84,85,88,92,96,106,122,135,144,148,153,161,160,176,147,122,93,115,102,101,87,165,184,184,184,182,181,180,86,86,88,92,96,107,122,136,146,150,155,165,175,148,168,158,132,89,78,89,88,143,188,187,186,185,183,182,86,86,87,91,97,108,123,137,147,151,156,184,183,135,135,187,168,135,97,81,82,110,190,189,189,188,186,185,86,87,88,92,97,109,125,138,149,153,166,178,195,157,97,162,191,165,134,79,72,87,189,192,192,190,189,187,86,86,88,92,97,109,126,140,150,161,200,156,181,149,108,152,202,179,146,85,65,87,189,195,194,193,191,190,87,86,88,93,97,110,127,141,151,168,213,163,138,163,135,199,198,172,145,96,68,70,176,197,196,195,194,193,87,87,88,93,97,111,128,142,152,160,200,173,126,193,175,214,203,166,142,102,73,66,174,199,199,198,195,195,87,88,88,93,97,112,129,143,153,158,181,177,135,192,147,197,201,173,133,99,79,70,182,201,200,200,198,196,88,87,89,93,97,113,130,145,154,158,176,198,167,166,108,205,200,164,127,96,83,77,189,203,202,202,201,198,88,87,88,92,96,113,130,145,155,159,166,208,201,165,135,214,195,158,123,93,85,82,195,205,204,202,201,200,88,87,88,92,97,113,130,146,156,160,167,190,225,217,196,212,183,149,117,94,89,90,201,206,205,204,202,201,88,87,87,91,97,113,131,145,156,160,167,180,220,220,198,185,166,140,117,101,91,106,206,207,206,205,204,202,88,86,86,89,96,113,130,145,155,159,166,172,159,209,181,158,161,149,132,115,91,124,206,206,206,206,204,202,86,84,85,88,94,112,130,145,154,158,167,159,57,192,165,172,173,173,158,127,85,125,206,207,207,206,205,203,85,82,83,86,92,111,129,144,155,158,167,145,29,160,192,180,160,163,147,105,64,60,204,209,208,207,206,204,83,80,81,85,91,109,127,144,153,158,167,122,29,102,164,156,137,134,108,60,29,84,208,209,208,207,206,204,86,83,83,84,91,108,126,142,151,157,164,106,33,62,66,57,49,48,36,18,14,125,207,208,207,206,206,204
13,157,158,161,164,167,170,172,173,176,176,177,179,180,180,181,181,180,183,184,182,182,182,181,182,183,183,183,183,158,161,164,165,168,171,173,175,177,178,179,181,181,181,182,181,181,179,177,185,183,184,183,184,184,185,185,185,160,162,165,167,169,172,174,176,178,178,180,183,182,181,184,183,186,166,124,134,190,185,185,184,184,185,186,186,161,164,166,169,171,173,175,176,179,179,181,182,182,183,183,191,199,167,120,91,191,181,188,189,185,186,187,187,163,165,167,170,172,175,178,179,180,180,183,181,187,166,140,157,196,162,118,87,138,126,127,168,193,188,189,188,164,165,168,171,174,176,178,180,182,183,184,189,211,164,127,117,188,155,121,68,124,140,92,99,195,189,190,188,164,167,169,172,175,178,179,181,184,184,182,181,198,185,144,122,180,148,104,87,174,152,98,78,176,194,189,190,165,167,171,173,176,179,181,183,182,184,185,139,112,156,156,112,176,169,91,125,186,142,100,79,179,195,191,193,166,169,172,174,177,179,182,183,183,197,183,144,110,105,154,102,191,182,103,142,179,135,96,83,189,194,193,194,167,170,173,176,179,181,182,183,195,184,185,160,125,94,142,112,121,137,79,140,201,151,86,92,198,194,196,195,168,171,175,177,179,182,183,187,193,155,179,162,124,84,120,132,57,37,74,150,181,130,65,113,204,193,196,197,168,172,175,178,179,182,183,192,192,158,153,157,124,78,103,129,82,24,87,164,145,102,71,154,206,194,196,196,169,172,174,178,180,183,186,197,188,157,137,166,117,85,92,118,86,67,132,163,160,151,119,116,203,197,197,197,170,172,175,178,181,183,185,201,189,162,130,158,115,84,84,135,101,124,196,164,146,133,117,84,170,206,197,198,171,173,175,178,182,184,185,201,186,160,127,142,124,96,87,161,128,164,188,173,147,118,102,85,176,206,197,198,171,173,176,179,183,185,188,201,188,169,150,126,123,113,70,152,171,196,184,163,141,110,94,95,195,201,200,200,172,175,178,180,183,184,190,203,190,173,158,138,111,98,109,189,195,199,180,155,132,106,88,109,206,201,203,202,172,175,177,179,182,184,189,200,189,173,162,157,130,123,137,191,196,194,167,141,120,100,83,149,209,200,203,202,171,174,177,180,182,185,186,193,189,179,167,162,139,124,123,183,199,182,151,128,111,92,101,198,201,201,201,201,171,174,177,180,183,185,187,188,187,181,167,165,147,126,129,178,195,168,143,119,104,81,140,208,199,201,201,201,172,175,178,181,183,186,187,188,190,183,168,163,150,129,132,166,178,152,133,112,98,83,175,203,200,201,202,202,174,176,178,182,183,184,186,189,191,182,166,159,144,123,134,161,151,138,120,104,89,113,203,199,202,201,202,202,174,176,178,181,184,185,187,189,192,173,159,149,128,116,140,149,132,128,109,99,83,169,206,200,202,202,203,203,174,175,178,180,184,187,184,188,192,165,157,140,125,127,145,145,129,121,107,87,130,204,200,201,202,202,203,203,177,180,182,184,188,192,183,196,193,168,163,141,129,140,153,133,125,106,95,94,186,204,200,201,201,202,202,202,142,148,154,159,163,163,171,200,195,174,172,142,136,151,143,122,113,97,78,145,210,203,205,206,209,209,208,207,98,100,102,102,105,96,141,197,179,173,172,144,139,148,137,113,99,89,83,120,139,140,145,144,148,154,156,165,108,109,108,107,109,96,149,194,169,161,157,139,133,145,135,101,94,84,88,103,103,104,104,111,127,140,141,152
19,158,159,160,162,164,164,166,167,167,167,167,168,168,167,167,167,167,167,166,166,165,166,165,163,162,162,161,160,159,160,162,163,165,166,166,168,169,170,169,169,170,169,169,168,168,168,167,167,167,167,166,165,164,164,163,163,161,162,164,166,167,167,169,171,171,171,171,171,171,172,171,171,170,169,170,170,168,167,167,167,166,165,163,163,161,163,165,167,168,169,171,171,172,172,172,172,172,172,172,172,172,171,171,170,169,168,168,168,167,167,166,165,162,165,166,167,168,171,171,172,173,174,173,174,174,174,174,172,173,172,172,171,171,170,169,169,168,167,167,165,164,166,167,169,169,171,173,174,175,176,176,176,176,175,174,174,174,174,173,172,172,171,171,170,169,169,168,167,165,167,170,170,171,173,173,175,176,176,177,177,176,175,176,171,179,175,174,174,173,172,172,171,171,170,169,169,166,167,170,172,172,174,175,176,178,178,177,179,183,178,189,160,131,179,174,174,175,174,174,172,172,170,170,170,167,168,171,173,174,176,177,178,178,179,181,159,143,163,193,178,94,145,185,181,178,178,177,175,173,174,173,171,167,170,172,174,176,177,178,178,179,178,169,141,108,110,125,135,120,109,128,138,159,163,167,170,173,168,163,169,168,171,173,176,177,177,179,181,178,169,166,171,166,123,78,100,122,114,113,99,108,123,130,118,137,121,127,166,170,172,174,176,177,178,177,174,161,166,178,180,152,102,76,71,90,101,108,100,103,118,122,119,123,125,121,154,171,172,175,177,179,177,175,167,164,166,170,170,154,117,76,70,69,73,76,72,76,83,91,92,91,95,99,114,171,172,175,177,177,175,175,172,169,161,169,175,176,145,90,68,73,63,81,112,129,131,130,129,137,139,149,164,172,174,177,178,178,176,174,174,171,169,175,178,174,147,93,68,73,61,130,197,187,186,185,186,186,185,183,180,173,174,174,177,175,177,175,176,177,174,172,171,165,152,106,68,69,70,76,178,185,181,180,179,180,179,178,179,171,173,181,181,180,177,178,179,179,172,167,176,173,163,121,71,67,75,56,120,195,181,182,182,181,180,180,180,173,193,196,184,179,180,181,178,172,170,174,180,175,149,113,79,65,77,59,98,195,182,184,184,183,182,181,180,193,199,190,180,176,178,175,172,169,168,163,163,155,129,107,87,72,74,63,149,194,184,184,184,185,183,182,181,198,195,182,177,176,174,171,170,164,162,155,151,145,130,106,90,84,75,53,153,196,186,185,184,184,184,183,182,195,192,184,173,168,170,166,167,165,160,154,147,141,147,111,88,88,76,69,177,191,187,187,186,184,184,184,183,193,189,180,169,159,160,159,159,163,155,148,131,128,142,98,82,93,74,93,199,186,187,187,187,185,185,184,184,189,185,172,158,148,145,148,147,153,143,127,108,108,100,64,81,96,67,129,196,187,187,187,187,186,186,185,184,181,174,157,145,137,123,127,132,136,119,101,98,94,69,77,88,83,137,193,190,189,188,188,188,187,187,185,185,180,155,150,143,122,107,98,106,110,100,89,83,70,67,83,110,158,196,189,190,189,189,189,188,187,188,186,185,152,142,152,139,113,90,84,84,86,76,104,154,144,147,169,189,196,189,190,189,189,189,188,188,187,186,185,184,105,143,148,128,102,72,55,56,97,144,184,199,197,197,195,191,190,190,191,190,190,189,188,187,185,185,184,184,61,97,95,70,52,38,27,26,170,203,190,191,190,191,191,191,191,191,191,190,190,190,189,188,187,186,185,184
20,169,172,176,178,181,183,185,186,187,188,190,188,187,187,187,184,187,173,183,184,182,181,180,178,177,176,176,175,170,174,178,181,183,185,188,188,190,190,191,191,190,189,188,190,202,137,150,188,184,182,181,180,179,179,177,176,171,175,178,182,184,187,188,190,191,191,192,192,191,191,188,198,202,132,117,164,146,185,182,182,182,181,179,177,174,177,180,183,186,189,190,192,193,193,194,192,192,193,189,202,196,125,121,175,107,172,188,183,183,181,181,180,175,178,182,185,188,190,192,195,196,194,196,196,195,194,190,212,202,128,126,176,111,162,192,185,186,183,182,181,176,180,183,185,189,191,193,196,196,195,196,197,196,197,192,221,196,128,135,177,117,163,194,186,187,185,184,182,178,182,184,188,190,192,195,196,196,198,198,198,198,196,200,214,173,116,162,190,125,156,197,187,188,187,185,184,180,184,187,189,191,194,195,198,197,198,199,199,202,200,210,210,164,101,168,180,119,156,199,189,189,188,187,184,181,185,189,190,193,195,197,200,199,200,201,201,182,168,219,211,158,100,178,174,109,162,199,190,191,190,189,186,182,186,189,191,195,197,198,200,202,203,201,210,178,113,197,191,116,124,200,170,111,171,201,193,192,191,190,188,184,188,191,193,196,198,199,201,204,204,210,222,189,145,149,117,78,143,187,155,106,183,200,193,192,193,191,189,185,188,191,195,197,200,203,203,204,202,176,195,208,177,130,105,90,139,152,124,107,198,197,195,196,195,193,191,187,190,193,197,199,201,203,203,217,212,150,152,213,167,156,149,142,147,118,100,134,209,197,198,197,196,194,192,187,191,195,197,201,203,203,210,231,222,172,156,186,178,173,160,170,157,99,83,168,208,198,198,198,196,195,193,189,192,197,199,202,205,202,222,219,225,172,148,201,187,157,155,157,138,112,77,176,209,200,200,199,197,197,195,190,193,197,200,202,205,205,236,212,201,186,127,171,161,92,95,156,149,131,83,171,212,201,201,200,198,198,196,191,195,199,202,205,205,213,230,194,186,187,107,82,85,64,63,153,183,144,99,118,212,202,202,201,200,198,197,193,196,199,202,206,207,211,240,225,205,173,146,104,64,103,173,183,191,160,117,81,180,210,202,203,201,199,198,193,196,201,203,206,207,214,242,231,203,166,182,121,93,193,222,203,175,155,119,89,168,214,203,203,203,201,197,193,198,202,204,207,208,215,242,234,195,163,151,107,156,226,203,181,168,126,118,91,190,210,204,205,203,201,199,195,199,203,205,208,209,215,240,229,195,191,140,157,231,213,179,156,167,122,96,105,214,206,206,206,205,202,201,196,200,204,206,210,211,214,236,227,203,196,147,194,230,200,180,162,159,138,76,142,221,207,208,207,205,204,201,196,200,204,208,210,212,215,227,223,206,196,153,185,209,187,175,153,141,122,77,193,215,209,209,207,206,204,202,197,201,205,208,208,214,217,226,222,208,189,155,153,176,166,151,131,126,82,133,223,210,211,210,209,207,205,203,196,200,204,206,217,194,100,179,218,203,160,128,131,143,160,141,118,88,87,210,216,212,211,210,209,208,205,203,195,198,201,210,204,107,69,82,160,174,139,134,140,143,164,133,102,74,178,221,210,211,211,210,208,206,204,202,195,199,205,209,116,72,85,74,82,138,155,148,143,144,152,120,75,148,227,212,213,212,211,209,208,206,205,202,196,199,212,136,78,87,73,77,72,79,120,129,133,131,120,94,96,214,217,214,213,212,211,210,209,208,206,204
7,202,202,202,201,202,202,202,201,201,200,199,197,196,195,194,192,191,189,187,186,185,184,182,181,178,175,173,172,204,204,204,203,204,204,204,203,203,202,201,199,198,197,196,195,193,192,190,188,187,185,184,182,180,177,175,175,206,206,206,206,206,207,206,206,204,203,202,201,200,199,199,198,196,194,192,190,189,187,186,184,182,179,177,176,207,207,207,208,208,208,208,207,206,205,204,203,202,201,200,199,198,197,195,193,192,190,188,186,184,181,179,178,209,208,209,209,210,210,210,209,208,207,206,206,205,203,202,201,200,199,197,195,194,192,190,188,186,184,182,180,211,210,210,210,211,212,212,210,209,208,208,208,207,205,204,203,201,200,199,197,195,194,193,190,188,186,184,182,212,212,212,213,213,213,213,213,211,210,209,209,208,207,206,205,203,202,200,199,197,195,194,192,190,187,185,184,214,214,214,214,214,213,214,214,213,212,210,210,209,209,208,206,205,203,202,201,199,197,195,193,191,189,187,185,215,215,215,215,215,215,215,215,214,213,212,211,210,209,207,204,200,197,195,192,189,184,182,184,186,189,189,187,216,216,216,216,217,217,216,215,211,207,202,199,196,189,181,173,165,153,150,151,149,139,143,161,163,181,190,189,217,217,217,217,217,216,211,197,179,163,156,153,151,146,139,135,129,116,115,118,116,113,120,140,145,174,192,191,218,218,218,218,215,205,189,171,149,125,122,125,126,127,125,123,112,105,100,96,96,95,92,108,135,169,189,193,219,219,218,210,194,181,173,162,142,117,108,108,109,112,115,116,114,114,106,89,89,88,84,88,98,120,159,189,220,217,204,183,170,167,165,157,146,130,118,115,117,123,126,125,125,120,106,82,81,83,76,73,71,89,130,182,216,200,178,167,164,163,159,157,153,140,123,118,120,124,120,116,113,105,92,77,78,82,82,82,84,101,146,187,194,180,171,168,165,163,161,159,149,127,97,88,94,97,101,107,110,113,115,123,138,149,157,160,163,170,186,194,173,174,174,170,167,165,159,147,133,107,75,68,69,71,112,160,177,185,191,196,200,202,203,202,199,198,196,193,170,173,173,171,167,159,144,131,123,105,82,63,55,56,82,163,210,212,211,209,207,206,205,202,199,188,168,150,169,170,173,172,163,146,131,121,119,120,107,72,52,51,63,144,209,214,213,210,207,205,202,194,173,129,94,79,168,170,172,164,147,128,117,112,114,119,103,66,49,54,99,181,213,214,213,210,204,191,169,136,101,69,55,55,168,167,161,146,129,116,110,105,101,99,79,54,43,77,169,210,214,213,205,181,151,120,91,70,58,53,47,48,161,154,141,130,122,114,108,97,85,82,72,55,47,98,188,192,185,178,151,108,80,63,56,54,53,52,43,42,145,137,129,121,112,102,91,80,75,81,77,58,55,102,130,105,95,88,75,62,60,52,45,48,51,51,41,36,135,130,121,107,93,85,78,75,77,79,69,58,64,76,62,50,51,47,50,46,48,46,35,40,48,49,39,34,128,120,108,96,88,84,77,72,70,66,63,65,65,61,49,36,42,39,40,38,39,38,28,34,44,45,35,34,107,96,89,87,84,80,73,67,65,65,64,60,54,49,44,32,33,35,32,33,35,30,24,30,42,42,31,33,75,72,75,78,79,79,80,77,65,61,56,51,44,44,40,32,25,30,27,29,31,25,23,30,40,39,29,33,62,83,96,97,97,99,97,81,58,48,49,47,39,39,36,31,20,24,26,27,30,23,23,31,39,36,27,35
0,174,175,177,179,180,184,185,185,186,187,188,191,193,193,192,192,193,194,194,194,193,194,194,194,194,194,193,193,174,176,179,182,183,185,186,187,187,189,189,191,192,194,194,192,194,194,195,194,194,194,194,194,195,194,194,195,174,177,180,184,184,186,188,187,190,193,191,193,193,192,192,195,194,193,195,196,196,197,198,198,196,196,198,196,176,178,180,183,184,186,188,190,192,193,192,194,198,196,203,195,194,199,212,196,191,221,185,189,203,200,198,197,177,180,183,184,186,188,190,192,192,200,221,195,176,224,225,184,157,212,229,192,164,220,183,161,208,199,200,199,180,181,184,185,188,191,190,195,189,229,235,205,146,190,222,189,142,159,222,198,148,186,206,145,197,205,200,201,180,183,186,187,190,188,212,216,179,230,226,214,161,160,221,199,161,141,227,200,143,141,210,164,153,192,205,201,182,184,186,190,189,203,241,220,175,203,235,212,181,161,220,203,160,156,229,190,143,99,186,192,162,146,181,207,183,186,187,190,186,225,242,226,194,183,235,208,186,154,224,213,151,161,227,170,134,61,140,202,187,135,145,215,185,187,189,190,193,236,241,236,208,169,226,213,180,151,231,214,138,131,197,152,109,55,162,216,195,141,154,217,187,188,190,186,206,231,216,238,217,162,208,214,171,143,220,199,136,95,148,142,84,78,214,217,201,137,180,216,188,189,193,185,225,232,209,222,188,133,180,199,158,126,171,168,131,85,145,135,75,158,226,212,174,130,205,212,189,193,190,197,239,229,189,199,150,100,146,173,147,107,122,150,103,85,172,173,179,211,210,191,140,143,218,209,189,193,186,217,242,223,182,179,158,114,130,168,153,90,98,140,116,183,224,221,210,188,183,159,131,161,220,211,193,196,190,209,242,234,212,174,157,130,120,186,159,77,86,175,225,238,227,214,197,172,152,145,118,176,221,213,194,199,194,207,242,238,223,200,169,151,154,183,155,135,201,240,240,229,220,207,183,156,141,131,129,211,217,216,194,198,194,213,242,241,230,214,200,172,174,190,209,236,242,239,235,222,205,188,164,142,130,122,195,221,217,217,193,197,194,215,242,241,239,226,216,197,187,212,229,241,239,237,228,213,190,166,143,134,113,173,223,215,220,218,194,197,195,211,242,241,241,233,223,212,201,211,226,241,239,230,221,200,176,148,133,116,140,223,217,218,219,219,195,198,199,207,242,240,241,235,221,209,203,205,218,233,228,214,204,186,155,136,118,119,208,223,219,221,220,219,195,198,201,202,237,241,238,228,213,197,196,201,208,214,208,195,175,162,139,119,109,198,227,219,220,221,220,220,198,203,206,204,230,242,239,228,213,195,197,205,208,209,194,175,149,134,114,90,178,231,219,222,222,222,221,222,196,193,192,181,194,207,188,180,172,165,176,189,186,183,162,149,131,110,86,163,230,220,223,222,222,224,223,222,151,135,134,128,116,110,108,97,88,78,78,75,66,65,62,65,72,71,93,211,231,221,222,223,225,223,223,222,126,127,124,117,115,112,103,92,85,71,64,52,44,44,40,37,36,41,48,58,162,234,221,224,225,224,224,224,133,130,129,121,117,109,100,91,81,70,64,54,49,46,44,41,39,41,45,19,111,242,221,226,225,225,225,225,154,128,130,122,120,107,98,89,74,68,62,55,46,44,42,38,37,37,39,35,202,231,224,227,226,226,226,226,169,131,126,123,118,106,95,86,76,67,58,54,47,46,42,38,36,38,26,101,242,222,225,226,227,227,227,227
14,133,135,138,140,144,146,148,150,150,151,153,155,156,157,158,159,159,159,159,160,160,161,161,160,160,160,160,160,133,136,138,141,144,147,149,150,151,152,155,156,158,158,160,161,161,161,162,162,163,163,162,162,162,161,161,161,134,136,139,142,145,147,150,151,153,154,156,158,159,159,158,159,161,162,163,164,164,164,164,163,163,163,163,163,135,138,140,144,146,148,151,153,154,158,163,161,160,155,147,143,145,153,157,160,164,166,165,165,165,165,164,164,137,140,143,146,148,150,152,153,158,172,174,162,151,137,126,126,126,126,123,128,149,165,166,166,166,166,165,165,138,141,144,147,150,152,153,155,172,185,162,135,117,100,88,96,105,101,90,91,110,154,168,168,167,167,167,167,139,142,144,147,150,152,153,163,191,176,133,98,79,70,66,67,75,80,81,83,86,124,158,162,164,169,169,167,140,142,145,149,151,153,156,180,194,153,111,83,62,57,57,52,57,72,85,85,77,90,114,128,141,166,170,170,142,144,147,150,153,154,163,194,176,127,93,69,55,57,56,51,55,78,101,100,82,82,83,99,122,163,171,171,143,145,148,151,153,156,179,199,158,111,85,61,50,50,52,56,71,127,155,152,130,99,91,98,123,166,172,172,143,146,149,152,154,165,200,196,149,108,88,73,55,44,49,61,99,158,173,173,163,121,110,103,121,167,172,172,144,147,152,154,155,182,213,191,145,105,87,75,60,52,53,75,135,170,173,174,163,123,118,104,108,159,173,172,144,148,153,154,155,190,215,188,144,103,84,71,58,57,60,100,162,174,174,175,161,119,117,105,96,145,173,174,146,150,153,155,155,190,216,189,148,110,83,65,54,55,61,119,171,175,176,176,158,117,115,107,96,136,173,174,147,151,154,156,156,192,217,190,153,119,90,67,55,52,59,124,173,177,177,176,153,124,125,113,103,143,175,175,147,152,155,157,156,195,217,193,157,124,97,75,56,51,57,105,153,164,171,173,143,125,130,117,110,154,177,177,148,152,156,158,157,197,218,196,161,130,106,86,63,56,62,75,96,112,132,144,123,122,128,116,117,163,179,179,150,153,156,159,157,196,216,195,163,136,114,96,72,59,67,73,81,92,104,109,107,119,125,113,123,170,179,179,151,154,158,159,158,195,213,194,165,140,117,99,80,62,71,81,94,103,110,110,102,106,117,111,132,175,180,180,152,156,159,160,158,195,211,193,165,139,116,99,86,70,77,91,104,111,113,112,102,98,106,107,144,179,181,181,153,157,160,160,158,193,205,188,161,136,113,99,90,79,83,95,107,112,112,111,104,100,102,109,156,181,181,181,154,158,161,161,160,190,199,182,159,135,115,104,94,87,90,99,106,110,109,107,105,103,107,132,171,182,182,182,154,157,161,163,164,193,199,182,160,137,121,109,99,93,95,102,106,109,107,105,106,113,138,167,182,184,183,183,155,158,162,164,167,198,202,184,163,139,121,108,101,97,97,103,106,108,107,106,112,143,174,183,185,185,184,184,156,159,163,164,166,200,203,185,164,138,116,104,102,101,100,104,108,110,108,110,134,172,184,185,186,186,184,185,157,161,164,164,167,200,199,182,161,134,112,103,104,104,103,107,111,110,112,133,168,184,186,186,186,186,184,185,158,162,164,165,169,199,197,182,163,136,111,103,104,102,102,106,110,113,137,171,185,187,187,187,187,187,186,185,159,162,164,166,171,197,197,184,169,142,111,102,101,101,101,104,108,128,167,186,188,187,187,187,187,187,187,186
15,137,129,108,115,79,73,125,11,11,51,48,52,55,59,61,74,88,100,110,114,118,125,129,134,137,140,143,146,145,130,110,121,73,88,124,0,20,52,50,52,57,60,64,78,91,104,113,115,120,129,133,137,140,143,146,150,151,127,113,125,65,104,117,0,29,54,51,53,57,60,65,81,94,106,115,118,123,130,136,140,143,146,149,152,154,130,119,127,60,121,105,0,38,53,52,54,58,60,67,83,97,108,116,120,127,133,139,142,146,149,152,155,155,130,125,126,61,136,90,0,46,53,53,56,61,61,69,85,99,112,119,122,128,136,142,145,149,152,155,158,154,129,130,120,62,146,73,0,51,51,51,54,56,58,71,88,101,114,120,123,129,137,144,149,152,155,159,161,155,129,133,112,67,155,57,0,59,56,62,69,78,75,70,89,104,118,127,128,135,146,152,154,155,158,163,165,152,133,142,113,95,118,93,87,86,85,95,97,92,81,73,76,83,93,108,117,124,126,131,153,168,164,164,169,146,139,136,98,96,97,91,87,74,78,78,73,69,73,84,81,80,81,81,87,98,92,81,81,110,164,178,172,147,136,112,85,84,80,78,73,70,74,74,74,73,81,91,91,85,81,77,84,100,98,90,75,54,69,137,183,147,135,140,81,89,84,59,63,66,73,75,74,76,87,91,88,84,78,79,94,91,90,90,82,73,58,50,92,144,137,148,70,134,131,0,42,60,55,58,60,65,76,90,96,91,79,87,90,93,90,91,80,76,77,69,49,143,145,146,67,147,115,0,45,58,53,55,58,59,63,82,115,144,112,98,92,89,90,86,86,76,87,84,66,144,149,141,67,160,100,0,52,58,54,55,59,61,67,84,144,139,114,88,90,80,71,75,86,76,98,96,77,148,150,134,74,167,83,0,56,56,53,56,60,63,60,116,152,111,99,48,51,58,34,57,102,88,109,98,81,152,155,124,79,171,65,0,60,55,53,57,59,59,74,153,124,98,83,49,17,20,0,63,132,115,110,84,77,154,157,115,89,175,49,0,63,55,55,56,60,53,130,167,109,88,67,34,14,10,0,87,139,131,113,78,69,154,161,105,100,175,34,5,65,55,55,56,60,54,141,159,122,87,58,14,9,6,12,104,139,147,123,83,66,157,167,97,115,170,20,13,66,54,55,57,61,54,98,166,146,108,67,16,6,40,38,81,137,146,119,83,68,160,172,88,131,170,9,22,66,54,54,56,59,61,69,156,169,133,78,25,0,41,68,94,136,121,96,82,60,161,173,82,146,163,0,30,66,54,53,54,58,61,67,123,186,147,103,73,56,63,115,125,110,84,71,74,57,165,170,77,161,150,0,37,63,53,52,52,55,57,74,97,170,168,151,141,134,141,128,87,70,63,60,61,57,168,165,77,173,136,0,44,60,52,51,51,54,56,74,95,161,149,116,109,119,134,115,66,54,58,46,61,67,170,156,79,184,118,0,51,59,50,49,49,53,58,68,138,161,107,104,103,114,137,114,62,50,47,82,54,46,172,147,87,192,100,0,52,53,47,46,48,52,57,67,156,137,104,97,97,102,122,112,71,47,144,181,47,34,174,138,93,194,87,4,65,59,50,48,47,48,52,68,128,126,103,101,89,79,95,97,67,50,185,191,55,40,177,129,107,181,134,102,101,104,99,95,91,92,94,96,102,112,117,143,144,80,57,125,86,81,167,175,61,46,179,119,118,177,142,82,80,88,87,88,88,93,94,93,87,89,92,94,155,134,67,95,97,91,102,100,59,49
17,123,125,126,128,129,130,131,132,134,135,135,136,137,138,138,140,140,139,142,141,140,142,141,141,142,142,142,141,122,125,127,128,130,131,132,133,135,136,135,137,138,139,141,141,140,144,144,145,142,143,142,142,143,143,142,141,123,124,128,130,130,131,133,134,134,137,137,137,138,139,140,143,132,118,126,112,143,144,144,143,144,144,143,142,123,125,127,130,132,133,133,135,136,137,136,138,139,142,141,145,146,98,80,77,137,147,144,145,144,145,144,143,124,126,129,130,132,133,134,137,139,139,138,139,141,142,142,144,158,116,69,71,143,146,145,146,144,145,145,143,124,127,130,131,132,134,136,137,138,139,140,141,145,142,144,144,159,131,79,79,152,145,146,146,145,146,146,144,125,128,130,131,134,136,136,137,137,139,142,135,128,150,145,142,161,138,88,103,155,146,147,147,146,146,147,145,127,129,130,132,135,136,136,139,141,140,143,140,102,116,150,150,161,132,91,119,153,147,149,148,147,147,146,146,128,130,131,132,134,136,138,137,138,134,147,146,123,103,120,145,158,131,89,118,154,147,149,149,148,147,147,146,128,130,131,133,136,136,135,149,141,101,115,152,153,148,110,80,128,129,93,118,156,148,150,148,148,149,148,147,129,131,132,135,137,137,140,151,145,106,120,131,146,157,138,83,85,111,87,116,157,149,149,148,149,150,149,148,130,132,133,135,138,137,147,141,128,127,99,89,83,164,157,109,71,89,77,113,158,150,150,150,150,150,149,149,130,131,134,135,138,136,150,140,93,98,90,66,60,152,169,128,76,74,68,110,159,150,152,151,150,150,150,150,130,132,134,136,139,138,154,138,114,113,98,92,92,137,178,137,90,70,70,103,158,150,152,152,151,150,151,151,130,133,135,136,138,141,159,138,122,114,100,113,118,142,170,140,103,71,67,101,159,150,152,153,152,152,151,151,131,133,135,139,137,148,154,120,111,108,111,118,151,174,145,136,108,69,60,100,160,151,153,153,152,153,151,149,131,133,136,140,135,154,154,125,114,109,116,132,178,170,141,123,101,68,54,102,160,152,153,153,153,153,152,150,131,134,135,138,136,161,156,131,117,109,117,159,175,159,138,117,94,68,55,120,161,152,154,153,153,153,153,152,131,134,136,138,137,165,155,137,126,109,133,175,167,156,131,107,90,65,65,145,156,153,154,154,153,152,152,152,131,134,138,139,138,171,156,142,139,118,141,173,158,153,134,100,85,58,93,161,151,154,154,155,154,153,152,152,132,135,138,141,138,173,161,147,147,129,139,167,153,146,129,97,77,60,133,159,153,154,155,155,153,153,153,153,132,136,138,140,136,167,168,151,144,137,135,157,149,147,124,93,69,75,156,154,153,153,154,154,153,154,153,154,133,136,139,141,138,160,170,149,139,135,138,147,141,151,131,90,65,89,162,153,155,155,155,155,155,155,154,153,134,137,138,141,139,158,164,147,139,131,137,145,138,151,125,91,65,114,163,153,156,156,156,156,155,155,154,153,133,135,138,142,139,162,167,154,140,137,140,146,136,146,112,85,72,146,158,155,156,155,156,156,156,156,154,154,131,135,138,142,140,168,173,153,139,144,147,140,127,136,102,69,101,162,154,156,156,156,156,156,156,156,155,154,133,136,139,141,141,174,168,140,140,146,148,130,117,122,88,67,142,159,155,156,157,157,156,156,157,156,156,155,134,136,139,140,143,175,163,136,141,147,144,124,114,109,76,86,160,154,156,157,157,157,157,156,157,156,155,155
5,171,174,178,182,186,189,192,194,195,198,199,199,200,201,200,199,199,200,200,198,199,198,196,195,193,193,193,191,172,177,181,184,189,191,194,197,198,199,201,202,202,202,202,202,201,200,201,202,200,201,199,197,197,195,195,194,174,179,184,188,192,193,196,199,200,201,203,204,206,205,205,204,202,213,148,184,207,201,202,200,200,199,196,194,176,182,187,189,192,194,197,201,202,201,213,192,154,212,207,204,217,202,120,180,211,204,203,201,201,201,198,196,179,184,188,192,195,197,199,202,206,202,223,182,124,212,210,209,227,151,137,213,207,207,206,205,203,202,201,200,180,185,190,193,198,198,205,207,208,203,238,152,146,222,208,225,195,113,184,217,208,209,208,208,207,205,203,203,182,186,192,195,197,210,175,198,211,215,239,119,177,223,216,222,151,137,219,213,211,211,211,210,209,207,206,206,184,189,193,198,198,224,156,160,216,231,222,114,201,221,219,186,122,193,223,215,215,214,214,213,212,210,210,210,186,191,195,199,201,220,186,133,219,234,178,126,216,214,208,131,148,227,218,218,217,216,216,216,214,214,212,212,187,191,196,201,202,214,211,125,212,221,132,144,225,201,194,117,189,229,220,220,220,219,219,217,217,217,216,215,188,194,198,203,207,209,233,153,181,221,142,147,214,190,176,126,209,228,222,225,225,223,220,219,218,218,218,218,190,196,201,205,209,208,233,192,143,214,155,136,170,177,145,141,229,226,222,206,211,224,227,221,220,219,219,219,191,197,202,205,210,212,225,227,167,154,155,136,146,167,127,158,233,214,214,218,208,199,199,226,222,222,221,220,193,198,205,209,213,216,216,227,212,160,145,151,145,151,126,151,195,209,198,199,211,213,170,198,230,223,223,222,195,200,206,210,213,217,219,219,236,214,165,147,132,132,122,147,160,168,150,136,176,189,197,154,200,229,224,224,195,200,204,210,214,218,223,220,250,251,185,144,128,123,119,139,147,125,155,210,234,225,201,196,158,225,226,226,197,202,208,212,216,218,223,221,237,255,202,143,125,122,121,132,130,154,237,236,233,224,213,168,185,235,227,229,197,203,209,213,217,218,224,224,228,255,200,148,127,121,118,134,115,183,249,231,234,207,187,135,212,235,229,231,198,204,210,215,218,221,225,225,225,253,194,151,130,117,116,136,137,149,204,241,225,202,163,128,214,236,231,231,201,206,210,216,219,221,225,225,223,255,197,153,136,120,118,132,144,161,161,168,202,202,146,153,234,234,233,232,200,206,210,216,218,221,227,226,226,255,195,165,146,123,115,135,151,168,179,151,186,185,143,200,241,235,234,234,201,207,212,216,220,224,228,225,228,245,198,174,148,126,115,144,167,176,182,157,155,167,160,237,235,235,235,234,202,208,213,218,221,225,229,226,226,244,202,175,147,129,116,147,170,173,169,150,140,142,202,244,235,236,234,235,202,209,215,218,223,225,230,228,229,238,197,170,149,134,125,142,160,160,157,142,147,203,241,239,239,238,237,237,204,209,215,220,223,226,230,226,243,240,191,167,155,136,132,143,156,156,147,146,221,247,239,239,239,239,239,238,204,210,216,220,224,225,231,223,250,250,206,174,150,138,133,141,147,141,141,203,247,239,240,240,240,240,239,239,204,211,216,220,224,225,232,226,248,239,201,159,135,138,140,141,143,156,217,245,241,242,242,241,241,241,240,238,206,211,216,219,224,226,231,231,247,235,206,159,134,138,139,137,157,232,251,242,242,243,242,242,241,241,240,239
6,153,155,157,159,160,162,163,162,161,162,162,163,163,161,161,160,161,161,160,159,158,158,158,158,156,155,154,153,154,156,158,160,161,163,163,164,165,165,165,164,165,164,163,162,163,162,161,160,159,160,160,159,159,158,155,154,154,157,159,160,163,165,166,166,167,166,165,165,166,165,163,163,163,162,161,161,161,161,161,160,159,158,155,154,154,156,159,161,163,166,165,166,166,165,166,166,165,165,165,165,164,163,162,162,161,161,161,160,159,159,158,156,155,158,160,162,164,165,166,167,167,166,167,167,166,165,163,163,163,163,165,164,164,166,164,163,161,159,159,157,155,158,160,162,165,165,166,167,167,166,163,160,153,145,126,127,135,140,138,140,141,137,149,152,159,161,160,159,156,159,162,162,165,165,163,167,167,169,167,161,158,146,126,127,140,146,134,136,120,113,160,143,123,164,159,159,156,160,161,166,169,159,163,175,176,177,171,163,154,141,127,124,136,144,140,136,133,120,149,133,106,164,160,159,158,161,161,188,177,159,161,163,160,151,143,139,129,126,111,88,84,99,106,110,115,111,115,116,146,164,160,160,159,162,164,198,176,157,150,143,149,154,154,147,134,130,135,103,85,149,147,150,150,154,156,161,166,163,161,160,160,160,167,180,152,147,151,157,165,170,164,152,144,140,139,113,80,171,174,172,171,170,169,168,166,164,163,160,161,159,186,178,146,144,149,157,166,170,167,159,149,137,120,97,68,137,175,167,168,168,167,166,167,165,163,162,161,161,187,162,146,143,146,149,154,157,158,151,137,129,115,75,68,106,176,168,169,169,168,167,167,167,165,163,161,165,174,147,158,156,154,154,158,166,167,151,128,131,132,75,64,95,172,170,170,170,169,169,168,166,165,164,161,163,172,173,172,161,164,165,172,176,161,145,134,135,123,82,69,90,167,173,173,172,169,168,168,166,166,164,162,161,175,201,180,158,161,162,165,163,156,146,138,123,98,82,78,94,173,172,173,172,170,168,167,167,167,165,160,159,179,196,176,158,155,145,132,129,131,128,122,109,74,73,85,146,177,172,171,171,172,168,167,166,164,164,160,159,178,183,174,162,146,130,124,139,149,141,140,144,88,56,94,171,173,172,170,170,170,169,167,165,163,161,163,160,179,174,186,168,146,147,166,173,155,138,131,137,97,66,118,176,171,171,170,170,169,168,167,165,164,162,162,160,179,172,181,165,149,151,160,159,144,133,124,112,90,79,136,180,171,171,170,169,169,168,167,166,165,163,160,155,174,176,169,157,151,150,154,148,139,123,106,88,75,84,153,174,171,172,172,171,169,168,167,166,166,165,163,155,166,175,174,158,149,143,137,120,105,88,76,87,122,149,173,170,172,173,171,172,172,170,169,168,168,159,151,145,162,173,161,146,134,124,108,88,77,61,79,141,168,166,163,163,164,164,162,163,164,163,163,163,154,192,84,88,155,163,140,129,123,115,88,76,80,79,86,88,88,86,87,87,87,87,85,85,86,86,88,78,179,239,82,85,151,153,129,131,126,104,82,78,86,91,78,75,75,73,74,74,74,72,71,71,70,70,58,163,242,230,82,92,155,143,128,140,123,93,80,78,90,87,80,81,80,80,78,82,89,83,84,87,86,64,165,242,233,230,78,101,161,141,132,139,120,93,78,79,97,84,80,80,79,79,78,79,81,79,79,84,65,147,242,235,231,224,77,115,164,137,127,130,107,85,76,85,96,82,81,80,80,78,77,78,78,78,82,70,118,240,234,237,223,219
7,211,210,211,211,211,210,210,210,209,209,208,206,205,205,203,202,202,200,198,196,195,194,191,190,189,186,184,182,212,212,212,212,212,212,212,212,211,211,210,210,208,207,206,205,204,203,202,199,197,197,196,193,191,189,186,184,213,213,213,214,215,214,214,214,213,213,213,211,211,210,208,206,205,205,203,201,199,198,197,195,192,192,189,187,214,215,215,214,217,216,216,216,215,214,214,214,212,211,209,207,209,207,207,207,205,203,201,196,195,194,191,189,217,217,217,217,218,217,219,219,217,216,214,214,213,215,215,215,211,206,199,189,188,185,195,202,198,196,193,191,218,219,218,218,218,217,217,218,217,219,220,220,215,202,192,177,173,170,149,142,190,183,160,201,199,198,196,193,220,219,219,219,220,221,223,225,221,212,199,184,169,159,135,147,148,137,135,134,160,146,156,212,202,199,197,194,219,220,221,222,223,214,200,184,177,166,156,148,151,143,126,127,122,109,116,99,90,124,155,155,190,203,198,197,221,221,223,215,185,159,149,150,154,159,157,150,139,117,120,114,112,116,117,113,112,102,92,114,132,202,201,198,222,226,213,186,174,146,134,145,135,129,125,124,127,135,149,141,108,120,128,107,103,88,82,104,107,197,204,200,224,205,186,187,175,143,124,114,111,122,136,153,161,156,144,128,91,96,95,74,75,77,85,107,161,208,203,201,194,180,185,184,172,163,153,155,157,164,167,153,147,136,126,97,74,83,109,137,164,184,202,212,213,206,205,202,177,181,184,178,176,172,156,145,136,138,134,117,111,108,104,117,151,192,219,225,223,218,214,211,209,207,205,203,181,186,181,181,182,163,124,92,102,101,86,73,63,104,211,229,229,227,219,217,215,214,212,212,211,207,204,203,188,186,184,178,158,141,94,73,81,65,57,57,57,50,110,227,220,221,221,219,219,216,213,213,212,209,204,202,185,187,179,154,146,132,102,93,71,59,60,57,59,45,100,222,223,219,219,219,217,213,212,211,210,206,208,211,187,185,167,152,143,139,146,143,91,61,65,66,51,107,222,223,222,220,218,217,216,212,210,208,207,213,195,153,189,178,154,141,136,140,151,131,76,60,57,41,86,227,227,223,224,221,219,218,216,213,215,218,207,174,96,60,178,151,126,127,124,124,126,91,64,53,51,51,77,232,222,224,220,218,218,217,223,219,193,151,102,67,61,56,150,134,131,135,127,114,103,88,80,61,64,45,128,231,221,224,231,229,228,226,170,111,82,63,58,59,62,52,139,142,140,135,114,88,90,108,96,64,52,130,238,232,233,219,175,161,159,123,76,69,58,59,59,60,61,48,141,132,116,95,82,85,102,112,79,57,91,166,168,155,141,97,60,61,53,59,56,64,62,41,51,59,61,48,123,101,93,93,94,94,90,71,65,101,113,96,83,79,80,56,42,62,47,59,50,47,55,34,41,53,60,43,111,107,109,103,90,79,72,77,115,133,109,89,79,72,63,64,34,49,46,43,45,46,45,30,36,49,56,35,98,95,92,85,76,79,102,123,122,103,84,70,64,56,54,51,41,31,47,35,41,41,38,30,35,48,53,32,74,81,88,93,104,117,122,121,109,68,58,62,58,47,51,47,44,24,37,33,34,41,34,29,39,45,51,28,117,122,125,131,124,119,118,110,75,59,44,51,56,43,44,39,41,23,25,35,31,42,31,29,40,43,47,25,122,124,121,125,119,118,111,87,49,49,46,40,53,35,38,31,36,28,21,33,33,41,28,33,39,46,46,22
2,180,180,179,180,180,180,179,178,177,176,175,174,174,172,171,169,168,167,166,165,165,164,163,161,160,159,157,155,182,182,182,182,182,182,181,180,180,179,177,176,175,174,173,172,171,169,165,167,167,166,165,163,162,160,159,157,185,185,186,185,185,184,182,182,181,181,179,178,177,177,175,171,162,151,122,139,161,165,165,165,164,161,160,159,187,187,187,187,186,186,185,184,184,183,181,180,174,169,163,152,132,108,79,69,115,134,126,166,166,164,162,160,189,189,189,189,189,188,187,186,186,186,184,179,166,161,151,120,87,65,52,60,88,102,78,152,167,166,165,163,191,191,191,190,190,190,189,189,189,188,184,172,167,145,108,62,48,45,41,43,54,61,54,91,169,168,167,165,193,193,193,192,192,192,191,191,190,188,179,173,151,97,58,41,34,39,38,37,42,49,53,111,171,171,168,167,195,195,195,195,195,195,193,192,191,187,178,167,119,58,47,39,40,40,45,63,64,71,100,163,174,172,171,169,197,197,197,197,196,196,195,194,193,183,178,150,89,50,45,41,45,69,122,168,167,169,174,177,176,174,172,170,200,199,199,199,199,198,197,196,190,180,168,119,60,41,45,45,126,174,183,183,183,182,180,179,178,176,174,172,200,200,200,201,201,200,200,194,180,186,164,105,64,47,47,64,179,187,186,185,185,184,182,181,179,178,176,174,202,201,202,202,201,201,201,180,187,188,154,102,71,51,45,131,188,189,188,188,187,186,183,182,180,180,178,175,203,203,204,204,203,203,195,176,193,180,145,103,67,52,77,186,193,192,192,191,188,187,184,184,182,180,179,178,204,204,205,205,205,203,182,182,199,172,131,90,57,50,109,196,194,194,194,192,189,187,186,186,183,182,180,179,206,205,206,206,206,201,174,194,197,157,122,87,57,47,144,197,196,195,194,193,191,189,187,186,184,183,181,180,208,207,207,207,207,189,183,203,187,141,118,84,54,50,178,198,198,196,195,194,192,190,187,180,169,169,180,180,208,208,208,209,206,179,198,199,168,134,122,82,52,46,144,196,198,197,195,194,193,179,148,127,118,110,136,180,208,208,209,210,194,187,202,185,151,142,117,76,47,49,67,115,188,198,196,190,158,113,107,113,109,99,110,179,210,210,210,209,185,195,195,174,147,138,107,66,44,52,64,70,114,189,166,127,101,95,111,109,92,127,175,184,211,211,212,200,188,193,188,165,144,129,91,56,49,63,69,69,72,89,88,95,101,100,96,82,140,184,187,185,214,213,211,191,193,190,180,155,136,115,81,53,65,75,76,75,74,68,83,90,91,84,77,139,187,191,188,187,214,214,203,194,194,188,171,148,125,105,76,58,75,77,76,75,71,64,73,76,88,135,173,191,193,193,190,189,214,208,197,197,195,185,166,134,109,99,71,65,75,75,71,67,62,56,71,132,181,198,196,194,194,194,192,190,214,196,195,186,189,178,150,118,100,87,61,67,72,72,65,58,72,112,172,198,201,200,199,198,196,195,193,191,201,190,180,182,177,161,128,93,78,65,60,62,64,61,54,92,179,202,204,203,202,201,200,199,196,194,193,192,192,184,171,175,164,150,114,82,73,61,58,52,54,72,134,198,206,207,205,204,203,202,201,200,198,195,194,193,192,178,171,176,168,152,100,79,68,60,80,126,164,195,209,209,208,208,206,204,203,202,201,200,199,196,195,193,187,175,169,175,166,144,88,74,65,86,186,210,211,210,209,209,208,206,206,205,203,201,201,200,198,196,195,192
7,172,172,173,173,173,174,173,173,173,172,172,172,171,170,170,169,168,167,165,165,164,163,146,97,71,62,65,79,174,174,174,175,175,175,175,175,175,174,174,173,172,172,172,171,170,168,167,166,166,165,157,109,67,53,59,71,176,176,177,177,178,178,177,177,177,177,176,175,175,174,173,172,172,170,169,169,168,168,164,124,63,44,53,62,178,179,180,180,180,180,179,179,179,179,178,178,177,176,175,174,174,173,172,171,170,169,167,144,76,44,48,58,179,180,181,181,182,181,181,181,181,181,180,180,179,178,176,175,175,173,171,170,169,169,169,160,117,79,69,76,180,181,183,183,184,183,183,183,183,183,182,181,179,171,168,172,171,165,160,160,157,167,167,158,130,125,130,126,183,184,185,186,186,186,186,185,185,185,186,186,181,166,159,168,170,161,151,149,146,162,159,146,119,144,156,153,185,186,187,188,187,187,187,189,191,195,197,195,185,169,163,163,154,149,142,138,133,134,135,141,125,146,138,149,186,188,189,190,191,188,187,192,199,202,201,194,185,177,172,161,139,135,145,141,134,128,124,123,119,133,128,159,188,190,191,194,202,197,189,190,195,196,193,189,186,183,176,160,142,136,144,142,137,132,121,108,109,126,131,163,189,191,193,204,214,204,191,185,189,192,191,189,186,181,173,155,140,131,126,121,119,117,109,103,103,115,135,161,190,192,197,214,218,203,182,174,181,187,186,182,173,163,150,133,123,123,123,124,128,131,131,133,139,148,160,164,193,194,205,220,215,197,174,170,173,170,166,159,149,140,129,118,117,144,167,171,174,175,174,175,175,175,164,135,194,198,214,222,213,198,185,176,166,160,160,159,153,147,141,138,123,114,150,181,186,185,183,182,180,178,170,136,194,205,222,222,218,213,205,183,164,163,164,162,154,146,142,135,115,80,88,160,187,186,185,183,181,180,177,163,197,215,226,224,222,220,211,181,156,155,152,146,141,137,133,126,109,76,69,145,187,188,186,184,183,181,179,177,210,224,228,225,222,216,203,176,155,141,125,117,124,135,139,140,131,94,96,162,188,188,188,186,185,182,180,179,224,229,228,225,219,210,196,176,160,145,128,128,147,158,153,147,142,119,152,186,190,189,189,187,185,184,181,180,228,229,228,223,214,202,186,172,167,161,147,149,157,154,144,135,125,116,171,193,192,191,190,188,186,185,183,181,229,228,226,220,206,189,175,176,182,173,155,148,144,136,128,118,104,116,178,195,194,192,190,189,188,186,184,182,229,226,222,213,199,187,186,193,191,175,153,132,120,110,99,96,107,150,190,196,196,194,192,190,189,187,185,183,225,220,214,206,198,196,195,192,183,163,136,113,116,122,114,136,166,189,197,197,196,195,193,191,189,187,185,184,217,212,207,203,201,198,189,180,171,149,125,125,164,185,184,192,198,200,199,198,196,196,194,192,190,188,187,185,207,205,204,200,196,192,181,172,156,130,125,167,198,203,203,202,201,201,200,199,197,196,195,193,191,189,187,185,200,198,197,192,184,179,170,154,129,119,160,198,205,204,203,202,202,202,201,199,198,197,196,194,192,190,187,181,196,192,186,176,168,161,147,126,116,153,196,205,205,204,203,202,201,201,200,198,197,196,195,194,192,189,184,175,189,182,170,156,146,134,116,114,152,194,206,206,205,204,203,202,201,201,199,198,197,196,195,193,187,165,157,167,174,164,148,133,121,107,102,144,193,206,207,207,206,205,203,202,201,201,199,199,198,196,195,192,173,112,94,125
22,151,152,152,151,152,153,153,152,152,153,153,152,151,151,149,148,149,149,147,146,145,144,143,141,140,138,136,134,154,155,154,155,155,156,156,155,155,155,159,156,154,153,154,155,151,151,149,148,148,147,145,143,142,140,139,137,157,157,157,158,158,158,157,157,157,159,133,153,159,156,147,138,155,153,152,152,150,149,148,146,147,145,141,140,159,159,160,160,161,161,161,161,160,158,112,124,165,159,157,99,146,158,155,154,153,152,149,151,125,133,146,142,161,162,163,163,162,163,163,163,161,157,129,98,165,159,163,99,128,164,156,156,155,153,152,158,105,99,153,142,163,163,165,166,164,164,166,164,163,162,145,86,155,163,164,99,110,168,157,158,156,154,157,154,91,108,155,146,165,166,167,168,167,167,168,167,167,163,147,82,140,170,166,104,102,168,159,160,159,156,162,140,82,126,156,147,168,168,168,169,169,169,169,169,169,167,156,102,118,176,169,114,95,168,162,163,160,159,166,123,80,148,153,149,170,170,170,171,171,171,171,169,170,170,165,122,98,175,171,107,85,166,164,164,161,165,161,109,95,162,153,152,172,172,172,172,173,172,173,172,173,173,169,132,78,167,173,103,84,165,167,165,163,164,143,84,123,164,155,155,173,174,173,174,174,173,173,174,174,174,169,147,81,138,180,115,87,163,171,166,165,156,120,74,156,160,156,155,174,174,175,175,175,174,174,175,174,176,164,152,117,95,173,120,84,161,174,168,170,160,100,102,171,159,159,157,176,176,176,175,176,176,176,176,175,177,171,157,139,108,147,122,97,139,176,172,166,146,84,141,170,161,162,161,178,178,178,178,177,178,177,177,177,178,179,161,159,168,163,147,153,101,105,160,160,116,86,168,165,163,162,160,179,179,179,179,179,179,178,178,179,179,181,169,161,148,139,141,150,106,73,81,111,80,118,178,164,164,164,161,180,180,180,180,179,180,180,181,181,180,181,177,170,126,62,92,143,121,97,88,89,57,149,175,168,167,164,163,180,181,181,181,180,181,181,181,181,181,181,177,161,109,71,52,104,127,111,106,103,53,154,176,170,169,167,165,181,182,182,182,182,182,182,183,183,182,181,175,159,134,99,61,58,66,91,107,86,47,121,183,169,170,167,166,184,183,184,184,185,185,184,185,185,184,183,171,162,140,93,64,70,71,94,135,110,68,74,179,170,170,168,167,185,185,185,185,185,186,185,186,186,187,184,169,162,131,94,74,75,100,154,161,139,100,48,132,180,170,169,168,184,184,185,185,185,185,186,186,186,186,184,171,164,144,108,79,80,128,172,178,158,130,56,100,184,169,170,168,185,184,185,185,185,185,186,186,186,185,185,170,163,149,115,78,88,145,177,173,155,118,51,113,182,168,169,168,185,185,186,186,186,186,187,187,187,187,186,166,157,161,120,84,97,160,179,159,132,100,43,142,178,168,169,166,186,187,187,187,187,187,188,188,188,188,187,163,153,156,122,86,96,168,167,144,113,88,56,166,175,170,171,174,186,186,186,186,186,186,187,187,187,187,188,162,149,147,122,84,86,155,154,140,105,72,71,176,174,179,170,123,191,193,193,193,193,194,195,195,194,193,196,174,148,148,121,90,88,150,151,130,92,50,101,193,170,131,80,40,127,130,134,139,143,146,150,151,154,159,164,162,148,142,120,104,85,140,145,113,76,44,126,132,74,42,40,38,88,88,88,89,88,87,88,87,86,89,87,98,153,143,119,106,80,111,116,82,56,43,57,45,28,37,46,32
17,141,145,147,149,152,152,154,155,156,156,158,159,160,162,164,165,165,166,166,166,167,169,168,168,169,170,170,170,143,145,148,150,152,152,154,156,158,158,160,161,162,163,165,166,168,169,168,168,169,169,169,169,171,170,171,171,143,145,149,151,153,153,155,156,159,160,162,163,163,164,166,167,169,170,173,173,170,175,171,171,172,171,172,172,143,146,149,153,155,155,156,158,160,161,162,165,166,167,168,170,171,162,136,155,124,145,179,172,174,173,173,173,145,147,149,153,155,156,159,160,162,163,165,166,167,169,170,171,173,176,130,91,86,112,183,173,174,174,174,174,146,148,151,154,156,158,160,161,163,165,167,167,168,169,171,172,171,194,153,91,58,125,184,173,176,176,175,174,147,150,152,155,156,159,161,161,164,165,165,168,169,169,171,173,170,194,164,113,52,137,185,175,177,177,175,175,147,150,152,155,158,160,162,163,164,165,168,169,172,175,172,175,171,195,179,130,70,161,182,177,177,177,175,175,149,153,154,156,158,160,162,165,165,166,167,172,158,148,180,175,171,199,178,132,92,176,180,178,177,179,178,176,151,153,155,157,159,162,163,166,168,169,169,174,163,113,131,181,181,202,171,130,96,177,181,179,179,180,180,178,150,154,156,157,160,161,165,165,165,164,165,184,168,143,114,138,163,194,173,130,93,176,182,181,181,180,180,179,152,155,155,158,161,163,162,171,181,149,114,156,186,180,181,137,84,132,162,134,95,173,183,182,182,182,180,180,152,154,156,161,163,165,161,183,191,149,104,153,162,189,192,166,105,79,130,122,90,168,185,181,183,182,180,181,152,155,158,162,163,164,167,182,153,172,140,137,118,120,199,185,139,77,93,105,82,165,188,183,183,181,180,182,153,156,158,161,163,164,168,192,137,124,122,78,69,56,191,202,164,94,73,85,74,163,188,183,184,182,183,182,154,156,159,161,165,164,177,178,131,110,119,90,85,82,167,219,176,119,72,83,70,153,191,182,184,184,184,183,154,156,160,163,166,163,182,185,161,142,132,106,119,121,145,227,177,136,82,79,73,144,192,183,185,185,185,184,153,157,160,164,167,163,193,176,141,134,126,115,140,146,181,202,177,147,93,72,66,145,194,184,186,185,185,185,155,156,159,164,167,171,195,158,135,126,123,135,136,190,222,179,161,144,92,66,56,144,194,184,188,186,185,185,155,157,161,165,165,175,201,163,145,128,127,137,161,221,209,183,152,133,90,63,57,154,193,184,186,186,185,185,155,159,163,167,164,181,205,168,152,129,130,140,196,217,196,178,144,125,85,66,64,175,188,184,186,187,186,185,156,160,164,166,162,187,207,172,161,139,129,163,216,210,192,169,131,119,82,59,90,193,185,186,187,187,187,185,157,160,165,168,161,195,208,175,168,158,133,174,219,198,188,171,127,106,81,52,136,196,185,187,187,186,186,184,158,162,166,169,162,195,215,180,177,173,146,173,210,187,179,167,129,94,74,67,178,190,187,188,187,186,186,186,159,163,165,168,163,188,217,188,182,175,160,161,201,182,179,158,125,92,61,108,199,185,187,187,186,187,187,186,157,162,165,169,166,178,215,196,180,168,167,161,185,176,179,166,120,90,57,130,200,184,187,187,187,187,188,187,158,162,164,167,170,173,210,191,177,163,161,167,177,166,180,170,120,87,61,154,197,187,188,188,188,188,188,187,159,162,165,167,169,174,208,184,176,162,158,164,175,162,178,159,114,84,79,185,191,188,188,189,188,188,188,188
0,200,202,205,207,209,211,212,214,214,215,215,215,215,215,215,216,216,215,214,214,214,214,213,213,214,213,210,209,201,203,206,208,210,212,214,215,216,217,217,218,218,217,216,217,217,216,216,216,215,215,214,214,214,214,212,211,202,204,207,209,211,214,215,216,216,217,218,220,220,219,219,220,220,218,218,217,216,216,216,215,213,213,213,212,205,206,209,211,213,215,217,218,218,220,221,221,222,224,221,220,221,223,219,217,217,218,217,216,216,215,214,214,206,208,210,211,215,217,219,219,221,224,224,218,216,203,220,222,193,192,222,222,219,217,220,218,218,216,215,215,207,210,211,213,217,217,219,220,223,211,212,245,214,161,158,229,190,127,188,216,211,202,182,223,218,217,216,216,209,211,212,215,218,219,220,221,232,199,160,229,233,188,142,227,201,154,111,133,177,218,144,213,223,219,219,217,208,211,214,216,218,220,218,228,248,231,180,164,241,192,143,225,204,157,105,159,176,221,168,159,226,219,222,219,209,212,215,217,219,221,220,241,240,239,209,134,207,200,135,222,212,147,128,186,145,214,201,148,173,225,221,220,210,213,216,218,219,221,226,242,196,231,199,115,169,205,137,218,203,128,128,183,113,183,216,186,133,177,231,219,213,216,217,218,220,217,237,245,189,221,171,108,168,183,127,191,176,118,122,172,121,212,239,197,129,150,232,219,214,216,218,220,222,220,245,239,203,214,156,108,164,157,115,156,155,114,119,157,139,237,231,190,115,189,230,222,215,216,218,222,222,227,255,225,179,184,173,114,145,149,109,147,147,93,164,176,192,230,210,154,122,226,224,223,216,217,220,224,223,228,255,240,202,154,137,95,156,173,111,166,158,143,206,197,198,212,175,118,166,238,223,224,216,218,222,224,222,232,255,237,215,183,136,112,144,152,107,145,210,229,210,198,170,170,149,103,207,234,227,225,217,219,223,225,223,240,255,234,218,201,171,132,133,159,171,218,242,228,202,188,159,133,126,111,227,230,229,228,219,220,223,227,224,243,255,237,218,203,185,139,135,175,223,251,243,222,191,177,145,122,98,155,241,228,230,230,219,221,223,227,223,239,255,242,220,208,198,158,145,170,235,248,241,211,181,161,132,106,107,226,234,230,231,230,220,223,224,227,224,235,255,245,224,209,202,174,147,180,244,249,227,197,166,143,120,91,184,240,230,231,231,230,220,223,224,229,227,231,255,247,230,209,197,176,147,191,241,238,208,186,156,130,96,143,243,232,233,231,231,232,220,223,226,229,228,232,255,243,228,211,190,170,154,207,225,208,197,177,145,110,99,222,237,235,235,234,233,232,221,223,226,229,227,231,255,241,232,212,184,166,173,209,191,187,181,157,130,89,183,245,234,236,236,235,234,233,221,223,224,229,221,245,255,245,243,215,188,175,188,201,173,177,160,140,97,145,244,237,239,237,237,236,234,233,221,224,227,226,226,255,255,246,241,209,186,181,191,181,169,165,149,114,121,235,242,239,238,237,237,236,235,234,220,223,228,221,245,255,236,238,233,196,178,186,178,166,160,148,121,111,217,243,240,238,238,238,237,237,235,234,220,222,225,215,254,243,215,206,208,184,173,181,167,156,149,129,106,194,242,237,239,238,238,238,237,236,236,235,220,225,218,221,255,232,205,184,179,163,177,182,146,145,142,100,159,243,239,239,240,240,239,238,237,237,236,235,221,226,211,244,255,221,187,180,167,146,181,170,130,144,118,111,221,241,239,239,240,240,239,238,237,237,237,237
12,166,166,168,170,172,172,176,176,176,177,176,175,176,176,175,174,173,173,172,172,172,170,169,168,167,165,165,166,167,169,171,172,173,175,177,177,177,178,178,178,178,176,177,178,175,173,174,172,172,172,171,170,169,168,167,167,169,170,172,174,176,178,178,179,180,180,180,180,180,180,180,180,178,176,176,175,174,174,173,173,172,172,169,169,170,172,173,177,178,178,180,181,180,180,181,182,181,181,180,179,179,179,178,177,177,176,176,175,173,172,171,170,172,174,177,179,179,180,182,184,183,183,184,185,185,187,183,180,182,184,186,178,178,177,178,177,175,173,173,171,173,176,178,180,181,183,184,186,186,187,187,184,182,173,182,188,175,146,145,187,184,183,179,179,178,177,175,173,176,178,180,181,184,186,187,187,188,189,186,195,182,133,109,180,167,116,52,146,167,161,186,182,178,177,177,176,178,180,182,185,187,187,189,190,189,190,192,203,181,133,58,128,161,114,69,76,135,78,101,186,179,178,179,177,179,182,186,187,189,188,190,190,191,189,162,194,166,115,54,108,196,135,92,72,120,81,40,126,193,178,180,180,181,182,187,187,189,190,191,190,209,193,124,155,180,126,38,125,244,153,105,99,129,85,44,101,197,180,181,181,183,184,187,189,190,192,189,211,231,193,142,101,223,167,46,108,223,127,75,157,147,98,34,117,198,182,183,183,185,186,187,190,193,196,190,219,221,199,144,76,196,151,75,87,128,91,95,197,127,65,27,133,198,185,186,184,186,188,189,192,194,194,195,233,199,170,116,67,66,91,65,71,130,178,170,131,76,32,39,171,194,187,187,187,186,190,193,195,195,193,224,227,189,116,86,66,20,30,137,176,177,178,159,121,114,49,96,204,187,189,188,189,188,190,193,195,196,197,241,214,166,119,115,48,19,145,220,209,181,162,132,109,115,59,117,207,189,192,190,189,190,191,195,197,197,200,243,217,136,142,146,61,124,229,218,208,180,154,135,106,93,43,129,208,192,194,192,190,192,194,196,198,196,210,246,218,180,159,131,156,213,222,217,200,177,146,126,99,72,32,153,206,193,194,193,192,192,194,197,201,197,218,245,225,202,188,141,179,213,222,206,192,169,131,113,88,63,22,142,210,193,196,195,194,194,195,199,202,198,218,241,229,210,191,151,193,208,211,191,178,152,120,102,75,56,19,139,212,195,198,196,195,196,197,199,204,201,213,235,227,218,188,153,178,200,188,180,170,134,105,84,63,41,28,184,203,199,200,197,196,196,197,200,203,200,208,235,228,217,172,143,167,177,182,168,152,115,90,73,54,19,133,211,200,202,201,200,198,197,197,200,203,214,211,220,218,187,144,143,168,175,184,168,137,116,90,66,37,135,213,200,204,203,202,200,199,196,197,202,202,140,196,222,199,182,175,169,166,185,188,160,120,111,82,32,134,222,202,204,204,204,203,201,199,197,196,210,170,37,88,221,218,206,188,163,142,171,171,129,98,93,41,92,217,206,206,206,204,204,204,202,201,198,200,205,99,75,49,94,166,158,145,136,126,154,139,102,88,55,61,207,211,207,208,208,205,205,204,204,202,195,211,169,62,74,69,1,45,46,44,39,42,70,76,73,60,37,180,219,208,210,209,209,207,207,206,205,204,195,203,108,65,69,78,1,11,36,30,17,9,5,9,18,2,29,191,213,210,210,209,209,208,206,205,205,203,205,166,67,68,66,74,0,0,24,26,16,12,10,6,0,0,0,110,226,206,209,208,209,207,205,205,204,201
21,199,202,205,206,206,207,208,208,208,208,208,202,205,208,205,203,201,200,199,199,197,194,192,191,191,189,188,186,201,204,206,207,207,208,209,210,210,209,214,185,157,208,207,205,204,203,201,202,199,197,195,195,192,192,190,187,201,205,208,208,209,210,211,212,212,212,212,194,141,171,216,206,207,206,204,204,202,200,195,181,194,193,191,190,203,205,208,210,212,213,213,215,214,214,213,204,164,129,211,210,208,208,206,205,204,202,193,134,165,201,193,192,205,207,209,211,213,214,215,216,215,215,216,212,180,117,187,218,208,209,209,208,204,205,185,123,158,205,194,193,206,210,212,213,213,215,215,216,216,218,218,216,199,142,156,222,211,212,211,210,206,205,174,118,175,204,196,195,208,211,214,214,215,216,217,217,217,220,220,220,211,159,133,215,214,213,211,211,210,200,156,120,194,201,197,196,210,213,215,216,217,219,220,220,219,221,221,221,222,170,120,199,219,213,213,212,211,195,146,135,208,200,200,198,211,215,216,216,218,220,221,222,221,223,223,222,223,188,129,178,224,214,215,213,204,179,127,160,211,201,202,200,212,216,217,219,219,219,221,222,222,224,224,222,217,205,153,155,226,214,215,214,194,161,109,190,210,203,201,199,213,215,217,219,220,220,222,222,223,225,226,224,220,217,183,141,206,226,218,216,197,145,125,212,205,206,203,201,214,215,218,221,221,222,223,223,225,226,227,226,223,223,216,171,154,196,207,198,180,126,165,217,206,207,205,203,215,216,219,221,223,224,225,226,227,227,227,227,223,173,176,188,149,147,150,159,133,110,198,214,208,208,206,205,215,217,220,222,224,225,226,227,228,228,228,229,219,161,126,167,163,157,163,166,107,127,222,211,210,209,208,206,215,218,220,222,223,225,227,228,228,228,229,230,202,187,144,142,164,146,151,150,109,135,224,211,211,210,209,206,216,220,222,223,225,228,229,229,229,229,230,207,160,183,156,126,147,104,138,170,128,107,212,214,212,211,210,207,217,221,222,225,227,228,230,230,230,230,229,205,154,162,157,105,118,94,123,178,148,100,166,223,210,211,210,208,219,222,224,227,228,229,230,230,231,231,228,209,159,141,140,91,117,119,175,187,174,116,116,220,211,211,210,209,219,222,225,227,228,230,231,231,234,232,223,193,160,131,124,91,121,162,209,191,165,115,112,218,213,213,211,209,220,222,226,228,229,230,232,233,233,233,221,206,187,144,111,100,143,209,197,175,150,98,127,224,213,214,212,210,221,223,225,228,229,231,232,232,232,234,221,211,193,155,133,132,199,216,185,158,146,92,152,227,213,214,213,210,221,223,226,228,230,231,232,234,234,235,219,207,193,164,133,136,204,202,184,160,141,94,174,227,214,214,212,210,221,224,227,228,229,231,232,234,234,235,219,196,186,161,134,136,194,197,176,154,128,92,194,224,216,214,213,211,221,224,228,229,231,232,233,234,234,236,222,193,190,169,147,138,186,191,168,141,109,100,217,220,217,215,213,212,221,223,227,230,231,232,233,235,235,236,233,203,191,174,152,127,167,168,145,125,85,131,231,216,217,216,213,212,220,222,224,227,228,230,232,233,233,233,234,216,201,179,150,129,144,151,131,114,75,177,227,215,216,214,212,211,219,222,224,227,229,231,231,233,233,234,233,221,201,178,152,141,136,145,143,99,106,222,218,217,215,213,212,211,220,223,225,228,230,231,232,233,233,233,231,221,206,181,167,161,146,147,137,86,165,231,217,217,215,214,212,210
19,166,170,174,179,183,187,190,193,196,198,200,203,203,204,204,205,207,206,205,205,205,202,202,203,202,200,201,201,167,172,176,180,184,189,192,194,197,199,201,203,204,205,206,208,208,206,205,205,206,205,205,204,203,202,202,202,168,173,179,183,187,191,193,196,198,200,204,205,204,206,208,208,209,208,208,207,207,207,206,206,206,206,205,202,168,174,180,185,189,192,194,196,199,201,204,205,207,209,209,208,209,209,210,209,209,208,207,207,206,206,207,205,171,175,180,185,190,192,195,198,200,203,205,207,209,208,211,213,210,210,212,212,210,209,209,208,208,207,207,206,171,175,180,186,191,195,198,200,201,205,206,206,215,204,151,193,216,211,213,213,211,211,210,210,210,208,207,206,172,177,182,188,193,197,199,201,204,206,208,205,228,213,127,127,220,212,214,213,212,213,212,211,210,209,208,207,174,178,184,189,194,197,200,204,205,205,210,207,236,221,146,99,205,218,214,213,212,214,215,213,212,211,209,209,175,179,186,191,195,199,200,202,208,211,212,207,229,206,147,89,184,224,215,215,215,216,214,210,209,213,211,210,176,179,186,191,196,198,206,209,171,156,177,190,177,166,151,134,149,171,179,170,167,179,156,190,214,194,214,211,175,180,186,192,198,197,219,202,155,152,158,168,176,170,165,155,146,158,183,166,162,170,157,216,224,153,215,213,177,182,189,195,196,209,220,205,171,121,117,120,152,156,158,140,137,141,150,149,145,143,143,163,160,171,220,212,178,184,189,195,198,222,233,215,164,102,91,102,103,104,109,100,98,114,128,132,132,140,149,165,193,217,214,215,178,184,190,193,218,231,234,195,150,115,98,109,113,106,71,114,197,213,217,216,220,226,225,225,223,216,215,215,179,187,188,210,236,233,237,212,161,110,95,95,120,120,95,87,191,234,222,224,223,222,221,219,220,219,217,216,181,185,195,233,234,235,246,224,161,104,90,84,101,125,114,89,78,216,227,223,225,225,223,222,222,221,220,219,183,183,220,237,235,243,242,220,162,107,91,101,96,90,92,108,74,190,235,224,226,227,225,224,222,221,221,220,177,201,239,235,237,240,236,220,174,116,89,85,112,105,80,67,94,224,229,227,227,227,227,226,224,222,222,220,183,230,236,235,237,234,237,231,192,117,92,78,97,110,102,59,160,243,224,228,228,228,227,226,225,224,222,221,222,241,234,236,231,231,239,222,171,122,102,94,89,84,102,75,204,236,228,228,228,229,228,227,226,224,223,222,243,230,236,229,218,217,215,192,148,133,125,111,103,85,67,101,229,231,229,230,229,229,229,228,227,225,224,223,231,228,226,218,215,211,199,184,161,138,123,120,111,98,63,182,244,229,230,231,231,231,230,229,228,227,226,224,224,220,222,215,213,212,200,181,184,160,117,107,114,105,74,202,242,231,231,231,231,231,230,229,228,228,228,227,218,220,220,207,208,207,191,170,172,145,84,81,112,88,129,242,231,233,232,231,231,231,231,230,228,228,228,226,218,223,207,196,194,189,169,143,126,101,61,75,100,93,211,236,231,231,230,230,230,230,231,230,229,227,227,225,219,218,196,172,169,168,139,108,100,87,81,98,129,201,235,228,230,231,231,231,230,230,230,229,229,228,227,226,206,202,188,156,131,131,115,95,89,191,207,213,233,235,229,231,231,232,233,232,231,230,231,229,229,229,227,227,179,189,183,142,94,73,73,52,146,239,229,231,229,230,231,232,234,234,234,233,233,231,231,230,230,229,228,227
0,223,224,224,223,223,222,222,221,222,224,223,223,223,222,220,219,220,218,217,217,214,213,214,214,211,210,208,208,226,226,226,225,226,227,227,226,227,225,224,225,225,224,223,221,220,219,218,218,217,217,216,215,211,210,209,209,228,227,227,227,228,227,227,227,227,226,228,229,227,226,224,223,222,222,220,220,221,219,219,217,216,213,212,210,228,228,228,227,227,227,226,227,228,228,229,229,229,228,226,230,228,223,228,230,222,218,217,219,219,217,215,214,229,229,231,230,228,229,228,228,230,229,229,229,228,228,221,197,211,235,202,180,213,207,162,220,219,219,217,217,230,231,232,232,231,230,230,230,231,229,232,234,236,229,184,134,105,157,157,117,112,198,121,181,230,217,219,216,232,232,232,233,233,234,233,232,235,239,234,207,169,180,180,139,94,63,156,131,68,162,151,116,240,218,219,218,234,233,234,233,234,234,233,233,206,197,217,188,123,74,157,150,126,86,158,134,80,130,181,78,157,239,218,220,235,235,235,235,233,233,230,218,171,102,181,182,128,70,139,162,139,85,163,140,79,90,179,121,78,162,230,218,236,236,236,236,235,235,217,210,176,112,159,188,139,90,132,169,129,79,167,146,78,44,167,151,105,70,224,220,237,236,236,237,237,232,201,196,189,144,139,196,140,97,105,169,130,63,134,118,64,50,177,169,89,90,236,221,237,237,237,238,238,224,192,169,187,157,125,183,134,94,83,168,126,40,51,64,23,103,201,162,61,154,242,222,239,240,240,239,237,221,214,159,162,151,95,153,143,104,52,88,74,2,27,42,72,179,195,138,61,214,229,225,239,242,242,240,235,211,188,121,123,103,36,102,136,95,26,7,25,75,145,132,150,196,176,92,102,245,223,226,241,243,242,243,232,208,200,155,111,64,29,37,74,39,12,42,129,192,188,180,150,166,154,46,157,248,226,226,241,244,242,244,232,210,213,184,134,104,87,80,94,97,124,167,196,194,183,180,138,115,105,33,207,236,229,228,242,244,242,245,230,209,222,189,151,128,109,120,153,191,202,207,211,198,173,166,119,84,38,111,248,230,231,228,241,243,241,245,232,202,223,193,161,124,120,131,181,210,212,217,212,186,160,145,104,36,71,235,236,234,232,232,238,240,239,242,237,192,208,194,168,136,130,146,205,218,213,215,199,166,142,120,65,43,221,241,232,233,233,231,239,242,243,243,245,199,202,202,175,158,147,164,209,214,212,202,173,152,124,93,27,182,247,231,234,233,230,229,243,243,243,242,250,215,187,203,192,177,151,169,204,203,203,187,150,126,106,33,129,252,232,236,234,233,231,231,243,243,243,243,246,233,185,198,192,169,145,160,194,184,177,155,125,104,46,79,244,237,236,236,234,235,233,231,243,243,243,244,244,245,196,191,183,158,145,152,179,168,151,128,98,44,49,225,242,237,238,236,235,235,234,233,242,242,242,242,243,244,204,192,173,148,144,146,170,159,131,106,56,41,214,247,237,240,241,237,236,234,234,233,246,244,244,243,247,233,198,190,179,171,168,157,161,155,116,78,24,195,252,237,239,237,239,237,236,235,234,232,235,238,241,240,248,213,193,202,190,189,174,161,155,143,95,37,94,255,244,250,250,247,245,243,242,239,238,236,130,134,137,141,140,164,200,211,201,187,174,163,145,107,82,31,115,207,200,203,208,212,212,212,215,217,218,218,102,101,97,98,89,150,203,212,194,184,174,160,112,93,70,33,69,102,100,100,100,103,104,104,107,110,111,111
4,90,109,126,133,141,146,151,155,157,161,165,168,170,173,177,178,182,181,184,186,186,187,189,188,188,189,189,190,91,112,128,135,143,147,153,156,159,163,168,169,173,177,176,181,179,185,187,189,193,191,190,191,193,192,193,192,94,115,128,136,143,149,154,158,161,164,166,169,163,169,186,190,154,140,183,176,172,195,192,193,194,195,195,193,97,117,131,138,146,150,156,162,163,158,178,214,171,144,186,210,150,86,136,166,95,129,200,194,195,196,197,197,99,119,132,140,146,151,157,162,170,180,151,178,213,147,130,194,133,80,83,139,103,68,182,202,196,198,200,199,100,123,134,142,147,152,159,158,205,199,164,127,148,136,95,147,117,70,85,142,103,55,174,206,198,200,201,201,103,124,134,142,148,154,154,177,220,210,183,150,86,91,86,171,136,52,139,149,82,57,195,202,199,202,203,202,106,125,135,144,150,155,153,200,181,170,176,120,77,65,83,182,133,114,173,119,48,82,210,203,202,204,206,205,109,127,138,145,151,157,156,214,159,152,161,83,62,74,50,108,145,191,165,140,82,110,219,202,205,205,206,206,114,129,137,146,151,155,167,223,175,175,146,89,45,108,127,148,169,166,142,153,126,113,207,206,205,207,207,207,115,130,136,146,156,154,183,214,155,137,129,96,28,145,170,150,150,122,143,175,151,117,135,215,204,212,210,210,119,130,138,149,155,151,198,201,147,116,98,60,30,55,107,109,101,61,141,183,174,155,97,158,220,209,213,213,118,132,139,149,156,156,225,206,160,132,107,78,51,42,50,57,90,143,147,174,187,161,123,87,195,216,213,213,122,133,139,150,154,166,240,197,165,147,106,80,65,80,117,151,194,210,190,177,160,151,138,89,144,225,212,214,126,133,140,152,152,179,248,205,186,151,105,98,80,125,184,207,216,208,183,166,136,120,126,85,154,224,214,216,127,134,141,153,148,196,248,210,182,136,112,109,98,174,209,217,220,215,180,150,120,99,95,100,206,216,217,217,127,133,142,155,149,202,246,205,167,135,131,114,132,199,206,214,218,199,163,136,111,93,77,168,225,216,218,217,128,134,142,155,149,204,242,197,171,159,152,133,165,198,204,209,203,175,148,121,103,76,114,223,217,219,221,220,130,135,144,153,152,201,233,203,194,183,162,154,187,196,203,195,176,160,130,111,93,78,198,225,219,221,222,223,129,135,145,154,154,187,232,214,205,183,159,152,180,188,185,170,153,140,115,101,75,149,230,218,219,222,223,223,131,136,146,156,156,175,228,207,198,179,152,133,154,167,167,155,136,121,106,81,105,220,219,221,221,223,223,224,130,138,148,155,161,170,224,197,180,166,143,133,147,161,158,139,117,108,90,78,192,225,220,223,224,225,224,225,130,139,148,155,162,166,213,182,165,154,136,145,140,152,155,131,112,100,67,156,228,218,223,222,224,225,225,226,131,138,149,156,160,178,214,184,169,161,163,168,139,131,140,117,102,77,108,221,219,222,224,225,226,226,226,226,132,139,150,156,166,227,191,177,181,169,166,155,132,119,126,108,94,69,181,225,220,223,224,225,226,226,226,227,132,140,151,151,212,225,220,128,145,179,156,140,126,109,109,100,87,67,203,222,221,223,224,225,226,227,227,229,132,144,145,176,235,214,223,203,82,132,142,127,118,94,99,92,78,70,209,221,221,224,225,226,226,228,229,230,133,143,148,223,218,216,215,229,172,62,105,120,104,77,91,85,75,68,207,224,222,224,226,228,228,229,230,231
21,145,148,152,155,158,160,162,163,165,166,166,168,168,168,169,167,167,166,166,165,165,164,163,163,161,159,159,158,145,149,153,157,158,161,163,165,166,167,168,169,171,171,170,167,168,168,168,166,166,165,164,163,163,161,160,159,147,150,153,157,159,163,164,165,167,168,170,172,173,172,175,145,143,172,170,169,168,167,166,164,164,163,162,161,148,151,155,158,161,164,165,166,168,171,173,173,174,175,185,130,110,171,172,170,169,168,167,166,166,164,163,162,148,152,157,160,162,165,168,169,170,173,174,174,173,177,183,128,115,173,173,172,170,167,166,169,168,166,166,165,150,153,157,162,163,166,168,171,172,173,175,175,174,182,182,127,119,174,174,173,169,146,126,166,169,168,167,166,152,156,159,163,166,167,170,172,173,174,175,177,177,186,182,128,124,176,175,173,165,132,102,163,171,169,168,167,152,156,160,164,167,170,172,173,174,175,177,178,179,188,178,129,127,178,176,173,161,125,112,170,172,171,170,168,152,155,160,164,167,170,172,174,176,178,178,179,179,191,175,127,123,179,177,172,155,115,132,176,174,173,171,169,152,157,161,165,168,171,173,174,177,179,179,180,180,196,176,125,121,179,177,169,150,110,155,177,175,173,172,171,154,158,163,168,170,172,174,176,178,180,181,182,182,202,176,120,131,181,172,163,134,114,172,177,175,174,174,172,156,160,164,167,170,173,175,177,179,180,179,176,183,198,160,110,141,181,169,159,114,129,179,178,176,175,175,174,156,161,164,167,171,174,176,178,179,184,165,140,155,173,132,96,144,180,173,148,105,158,181,179,177,176,175,175,156,162,165,169,172,174,177,179,180,186,163,123,113,107,98,90,149,175,169,128,115,177,181,180,179,178,177,175,157,162,165,169,173,175,178,180,185,184,176,158,136,100,82,99,136,153,146,107,141,185,182,181,180,179,178,177,159,163,167,170,174,177,180,181,194,199,192,199,167,123,82,91,107,120,115,101,167,185,182,182,182,181,180,179,159,163,167,172,174,178,180,186,182,182,187,195,162,114,88,83,93,99,96,118,184,186,185,184,183,182,181,180,160,164,168,172,176,179,180,192,162,152,169,153,154,122,96,84,81,89,88,143,190,187,186,185,184,183,181,181,160,164,169,173,177,180,181,197,177,148,126,106,155,142,107,89,80,83,88,159,191,188,187,186,185,184,182,183,161,165,170,174,177,180,184,198,168,130,107,91,143,156,123,98,86,83,85,160,192,188,187,187,186,185,183,183,161,165,170,175,178,180,188,198,164,145,135,118,166,173,140,118,93,86,85,159,193,189,187,188,187,187,185,183,161,166,171,175,179,180,194,202,172,159,136,154,209,180,144,130,101,90,90,165,194,191,189,189,188,187,186,185,161,166,171,176,180,181,196,205,187,155,145,199,206,170,138,128,106,94,95,170,195,192,191,189,189,188,187,186,162,167,172,177,180,181,197,213,188,152,158,208,195,165,135,120,108,96,104,180,196,193,192,191,190,189,188,187,161,166,172,176,180,181,196,205,171,163,161,207,191,167,147,114,102,97,114,188,194,192,192,192,190,189,188,188,159,165,171,174,177,180,190,190,169,180,157,203,189,161,145,116,100,97,127,192,193,193,192,191,189,187,187,187,160,165,171,175,178,180,186,185,192,188,160,198,178,148,129,111,101,97,138,194,194,194,192,191,190,188,188,187,160,166,172,176,178,181,184,187,195,179,154,186,166,137,114,103,99,96,150,195,194,194,193,191,190,188,189,187
6,200,201,201,200,200,200,201,201,201,199,199,198,197,197,196,197,195,195,194,193,191,190,190,189,188,188,185,183,202,203,203,203,202,203,202,202,203,201,200,200,199,199,199,197,196,197,195,194,192,192,192,191,190,188,187,185,205,205,205,205,205,204,204,205,204,203,202,203,202,200,200,198,198,198,197,196,195,193,193,192,190,189,189,186,206,207,208,207,206,206,206,205,205,206,205,204,203,201,201,200,200,199,197,196,196,195,194,192,190,189,189,187,207,208,209,208,209,208,207,207,206,206,205,205,206,204,203,203,202,200,199,198,197,196,195,193,192,191,190,189,208,211,212,210,211,211,210,210,208,208,206,206,207,204,204,205,203,202,200,199,199,197,196,195,193,192,190,190,209,211,213,214,214,213,212,212,211,209,208,206,208,206,206,206,205,203,202,202,202,199,199,199,196,193,191,191,212,214,214,214,214,214,213,213,213,215,215,214,210,210,211,211,209,206,203,201,198,194,184,180,192,193,195,191,213,216,215,215,215,214,215,214,208,196,191,196,197,185,175,169,161,173,175,174,164,166,142,158,208,177,179,195,215,216,218,219,217,218,207,190,180,160,146,139,141,170,159,145,133,144,170,173,160,158,150,150,185,140,175,199,216,218,223,220,207,194,166,161,170,167,167,142,84,124,151,148,113,134,136,132,122,101,104,113,133,165,197,195,220,217,205,189,176,168,161,156,161,170,162,110,70,55,73,77,78,97,108,125,130,152,168,181,195,203,199,196,202,189,177,170,162,157,154,145,151,159,147,104,64,53,60,94,132,173,202,207,212,215,212,209,206,201,200,198,192,186,177,166,159,159,158,152,152,155,159,138,80,41,130,222,218,221,214,212,209,208,208,206,205,203,201,199,203,187,176,167,162,160,160,153,153,156,159,135,81,51,76,219,215,214,213,212,211,211,211,207,205,205,203,202,189,179,176,168,161,161,158,161,155,157,155,141,83,60,42,169,227,215,216,215,213,212,210,209,206,205,205,202,179,176,174,165,164,162,162,162,164,167,165,151,96,59,45,111,230,215,217,215,214,213,211,210,208,206,204,203,190,166,163,167,174,169,162,154,149,151,153,131,90,61,53,58,217,222,216,216,215,214,213,211,209,206,206,205,182,159,160,172,176,176,160,154,146,143,134,110,88,69,47,97,225,220,218,217,217,215,214,213,211,208,207,207,155,146,163,169,166,163,155,144,134,143,131,95,88,79,46,194,230,219,218,218,219,218,215,213,212,212,208,206,109,127,145,161,153,143,132,121,111,110,95,84,83,87,50,200,226,220,220,219,218,216,215,214,211,209,208,205,42,71,102,135,131,116,105,98,89,65,48,66,92,92,40,182,231,219,220,218,217,216,215,213,211,208,207,205,38,15,21,54,81,84,68,62,63,54,53,81,87,72,63,206,225,221,221,219,219,216,214,214,212,209,207,206,42,26,0,6,6,30,93,126,102,67,65,91,106,167,206,225,222,222,220,220,219,218,215,214,214,211,208,207,37,35,2,10,0,133,246,237,226,187,165,180,218,234,229,224,223,222,220,220,219,218,216,215,214,211,208,206,34,37,6,0,31,231,233,228,232,237,238,235,230,225,225,225,223,222,221,220,219,217,216,215,216,220,222,219,40,31,3,0,154,245,227,230,231,229,227,227,228,228,227,226,224,222,223,225,226,227,222,216,208,172,140,142,42,16,0,72,247,228,231,230,230,230,229,229,227,227,227,225,224,225,222,194,155,139,119,95,71,40,21,20
2,228,229,230,230,229,230,230,230,229,229,228,222,230,225,226,226,224,223,222,220,219,218,216,214,213,213,209,207,232,232,232,232,232,232,232,231,231,231,226,243,248,172,198,233,228,228,226,223,224,223,220,218,217,215,213,211,235,235,236,237,237,236,234,235,232,230,255,255,187,135,138,209,218,170,220,231,226,225,224,222,221,218,215,215,238,238,237,238,240,238,239,235,241,255,255,175,137,126,139,172,179,128,191,231,226,226,225,224,223,222,218,217,239,240,239,239,241,239,237,251,255,255,205,140,134,125,115,128,131,126,119,190,240,227,229,226,224,223,222,220,241,241,240,242,241,243,235,255,255,202,149,125,127,130,124,98,120,136,122,124,188,240,229,229,226,225,223,222,241,243,243,245,245,239,255,255,234,146,118,101,106,116,117,118,120,122,120,107,184,240,229,231,229,227,226,224,244,246,245,248,247,244,255,255,192,143,124,113,97,120,145,151,125,141,157,196,237,233,233,232,231,231,229,226,248,248,248,249,242,255,255,217,153,125,130,127,116,137,133,138,201,234,241,244,239,237,234,234,233,232,230,228,249,249,251,246,255,255,255,193,142,114,125,122,133,124,161,231,250,246,243,241,242,240,238,236,235,235,231,230,250,251,250,251,255,255,250,186,151,138,120,124,137,173,255,250,247,248,247,246,244,242,240,239,238,235,233,232,253,255,250,255,255,255,223,172,149,149,133,129,132,207,255,248,250,249,250,247,246,244,241,242,240,238,236,235,255,255,251,255,255,255,205,159,146,146,142,127,150,253,255,253,249,250,249,249,248,247,244,243,242,241,239,237,255,254,255,255,255,250,191,158,143,141,143,132,209,255,254,255,253,251,251,251,249,248,247,246,244,242,241,240,255,255,255,255,255,226,173,152,147,139,138,142,249,255,255,255,255,254,252,252,250,250,247,247,247,244,242,242,255,255,255,255,255,209,163,149,146,146,131,170,255,255,255,255,255,255,255,254,252,251,253,251,247,246,243,242,255,255,255,255,246,188,152,147,143,144,113,201,255,255,255,255,255,255,255,255,255,252,247,240,248,251,246,245,255,255,255,255,218,168,152,142,134,129,113,154,255,255,255,255,255,255,255,255,243,221,215,202,173,243,249,248,255,255,255,251,203,172,156,136,122,122,130,121,167,255,255,255,255,255,255,230,222,214,194,156,172,247,252,249,255,255,255,236,206,179,155,125,115,130,129,141,143,156,212,247,234,223,225,215,229,193,163,215,255,255,251,249,255,255,255,238,201,174,147,124,126,146,151,168,179,163,155,189,199,214,223,228,214,160,234,255,255,254,254,253,225,236,247,223,196,165,141,130,138,157,175,180,190,190,179,209,213,219,212,189,156,199,255,255,255,255,255,254,95,96,86,87,106,102,104,119,147,166,177,186,193,196,180,200,185,177,185,203,229,255,255,255,255,255,255,254,105,92,68,63,73,67,56,62,101,162,175,182,189,181,153,160,198,240,255,255,255,255,255,255,255,255,255,255,98,85,67,70,77,66,59,52,47,87,169,175,163,159,202,250,255,255,255,255,255,255,255,255,255,255,255,255,91,81,70,71,70,62,54,48,52,44,101,162,195,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,85,80,70,72,68,58,51,47,54,42,90,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,86,77,69,70,66,57,49,48,56,38,208,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255
24,152,158,166,176,184,189,193,197,202,204,208,210,212,212,213,212,211,210,210,209,207,205,203,203,202,199,197,195,155,159,169,180,188,193,197,201,205,209,212,214,216,217,217,217,217,215,215,214,213,211,210,208,206,204,201,200,157,162,171,183,190,196,200,205,209,213,215,219,220,220,221,221,221,220,219,219,218,216,215,213,212,210,207,205,159,164,174,185,192,198,203,206,211,215,219,222,223,222,224,224,224,224,224,222,221,219,219,218,216,215,212,209,161,165,175,188,196,202,206,209,214,218,222,225,227,227,228,227,227,226,227,225,226,225,223,222,221,220,216,214,163,168,185,193,198,204,208,212,217,221,224,227,228,228,229,230,230,229,229,228,228,228,227,226,226,224,221,219,161,183,192,160,205,206,210,214,219,223,226,229,231,231,231,233,232,232,232,231,231,230,231,230,229,228,225,223,162,193,181,123,203,208,212,216,221,225,228,230,230,232,233,235,239,235,232,234,233,232,233,234,231,229,228,226,163,200,181,118,198,212,214,220,224,226,229,233,239,237,238,214,189,233,236,233,235,236,234,231,237,233,230,227,165,204,170,113,197,214,215,219,222,232,230,232,199,217,255,215,147,160,241,238,230,213,198,158,174,240,232,236,167,198,165,111,197,214,224,209,170,205,246,238,164,136,198,223,179,128,216,228,215,186,143,116,204,252,231,203,168,198,178,114,189,215,240,237,202,179,232,241,182,145,135,224,195,145,167,194,225,158,124,203,219,167,106,82,170,200,193,124,171,221,233,255,250,211,169,241,206,177,138,207,197,139,121,213,198,122,115,126,87,68,76,71,174,192,211,173,178,212,232,229,255,234,172,184,233,185,131,156,177,117,149,230,154,106,77,69,83,88,82,79,177,181,223,204,196,215,232,191,212,238,176,126,225,206,142,99,113,121,201,204,126,83,74,72,68,86,82,74,179,181,211,223,218,238,239,218,191,209,172,111,197,221,151,87,94,177,209,171,105,63,68,81,64,73,84,80,180,186,202,248,227,211,217,203,174,188,179,133,145,180,121,113,146,180,177,139,83,76,56,72,76,65,75,85,178,189,198,246,229,194,206,192,156,161,182,159,130,128,175,201,190,188,151,113,51,78,69,57,71,67,69,78,179,190,199,236,238,178,166,178,162,164,182,193,170,189,254,239,208,198,136,95,39,62,83,63,59,69,67,69,146,152,148,190,241,193,152,167,203,173,218,248,228,251,255,232,207,189,125,94,50,46,76,79,64,66,61,66,135,137,130,155,247,223,174,151,192,189,229,247,254,255,252,221,198,174,115,84,65,37,63,80,73,70,61,58,139,141,141,144,232,235,196,164,164,195,217,253,255,255,237,210,188,166,110,63,76,36,51,75,74,75,66,54,141,142,144,137,212,244,215,182,164,189,205,251,255,246,225,200,179,164,113,50,79,47,38,66,76,72,68,63,139,141,145,135,189,246,226,195,179,188,194,239,253,234,216,197,171,156,111,51,74,61,32,53,74,69,67,66,138,140,142,137,161,238,230,208,188,193,186,226,245,224,213,196,158,144,103,52,69,72,39,39,69,71,63,64,139,139,140,141,140,213,230,217,197,200,184,203,233,219,217,189,145,135,86,38,66,74,52,33,56,73,58,60,138,139,139,141,136,166,232,225,208,201,188,182,212,211,204,176,137,128,76,32,50,76,64,40,40,68,62,52,137,138,139,139,142,136,201,229,211,200,185,168,181,196,182,159,135,115,62,32,36,71,68,52,35,53,68,49
22,121,124,131,140,148,156,161,163,167,172,176,179,182,184,187,189,189,191,191,190,191,191,189,188,189,188,188,186,122,126,132,142,151,158,163,166,170,174,178,182,185,187,189,191,191,193,194,194,194,194,193,191,191,191,191,189,122,127,132,143,152,160,165,168,172,178,182,185,187,188,191,193,194,195,196,196,196,196,195,195,195,194,193,193,123,128,133,144,153,162,168,169,173,179,185,185,191,191,193,195,196,198,197,200,202,200,199,198,197,199,197,195,124,128,135,146,156,166,170,171,176,181,185,208,169,185,198,197,199,200,204,193,183,205,202,200,200,182,197,198,124,128,135,148,157,167,171,173,178,181,194,234,146,170,203,198,202,202,221,181,132,207,202,211,200,131,174,206,125,128,136,149,159,167,171,174,181,183,198,241,157,164,208,200,203,208,222,160,133,213,205,221,192,125,189,207,125,128,137,150,161,169,173,175,183,186,196,245,176,159,210,204,204,219,222,139,163,217,223,215,151,144,213,204,126,129,138,151,162,171,174,178,185,188,197,250,195,152,209,207,207,215,202,128,187,221,233,204,137,189,214,207,126,129,140,153,163,172,176,179,186,191,196,245,199,146,202,210,213,223,185,118,209,232,208,168,148,215,210,209,127,130,140,153,164,173,178,180,187,194,195,240,219,157,190,213,222,239,170,122,248,244,200,132,183,219,211,211,126,130,141,154,165,174,179,183,189,196,194,236,232,174,180,219,220,228,125,159,255,235,180,135,217,214,216,214,127,130,142,155,166,176,180,183,190,197,197,218,227,163,140,204,210,215,187,232,239,212,138,162,228,216,217,215,129,131,142,156,167,178,181,184,191,197,200,201,225,160,165,211,218,225,243,238,221,170,119,208,223,218,217,216,128,131,144,157,169,178,182,186,190,202,218,172,213,186,189,237,214,231,231,232,199,130,160,233,220,221,218,218,127,131,144,158,169,179,182,187,188,223,227,195,179,184,168,195,213,231,226,208,173,124,198,231,222,222,220,221,128,132,144,158,169,180,184,189,192,219,218,221,211,207,165,112,167,207,204,172,160,123,212,230,225,224,222,221,128,132,146,158,170,180,185,190,192,212,225,200,208,195,159,140,116,127,153,151,140,123,227,230,227,226,224,223,128,133,147,159,173,181,185,190,192,219,218,197,179,170,182,170,146,119,114,109,133,120,224,231,228,226,226,225,128,132,146,161,172,181,187,191,194,215,255,225,175,166,179,189,168,148,142,115,102,112,219,233,229,228,227,227,128,133,146,160,173,182,186,190,196,208,255,216,197,195,220,230,185,162,154,110,91,103,222,233,230,229,227,227,128,132,147,161,174,183,187,190,198,205,255,226,205,229,254,244,202,171,150,108,88,115,234,231,231,230,228,228,128,132,147,161,174,184,186,190,200,203,254,238,207,226,254,221,201,160,142,114,83,138,243,230,232,230,229,229,127,132,147,161,174,183,187,192,201,201,242,249,224,218,254,208,202,184,142,115,82,147,246,231,234,232,229,229,124,131,148,161,174,183,186,192,200,202,226,252,232,204,246,216,196,188,144,108,81,165,246,232,234,233,230,229,122,130,147,161,174,182,184,192,200,208,223,247,234,191,224,211,182,168,128,100,88,201,242,232,233,231,230,229,122,129,147,161,173,182,185,192,202,197,169,225,225,175,178,178,153,134,109,98,112,233,236,234,234,232,231,231,120,127,145,160,173,182,186,191,208,136,47,188,210,157,168,173,158,131,116,93,140,247,234,234,234,232,231,232
10,81,88,91,93,98,104,109,113,116,120,123,125,128,130,131,134,135,136,138,138,136,140,139,140,139,139,138,137,84,90,93,96,100,106,112,116,119,122,125,128,130,131,133,137,138,139,138,145,151,125,143,142,142,141,141,140,84,91,94,96,102,108,114,118,121,123,125,130,132,133,137,139,139,140,135,165,170,102,141,144,144,144,143,142,85,92,94,97,104,110,114,118,122,125,128,130,133,135,139,141,142,143,138,171,177,103,136,148,145,145,144,144,87,93,95,99,105,112,117,120,123,126,129,132,136,139,140,143,144,146,141,166,191,115,129,152,146,147,148,147,88,95,97,100,107,113,118,121,124,128,131,134,138,140,141,143,145,147,144,162,207,137,119,156,149,150,150,149,90,96,98,103,109,114,119,124,128,131,134,137,140,141,143,145,146,149,146,161,209,153,108,156,152,152,152,152,91,98,100,104,111,116,121,125,130,133,136,139,141,143,144,146,150,151,148,158,208,163,103,156,154,153,153,153,92,99,100,105,112,118,122,127,132,133,136,141,143,142,156,156,120,153,152,157,207,167,99,151,157,155,155,155,95,101,103,106,113,119,124,128,131,140,139,137,144,145,173,170,93,114,158,159,206,173,99,146,161,157,158,158,96,101,104,108,115,121,124,130,130,168,136,90,90,99,138,171,148,117,141,166,200,169,102,135,164,158,160,159,96,102,104,110,117,122,126,131,134,148,115,78,74,81,79,150,192,151,99,168,181,163,114,122,167,160,160,161,97,103,106,111,118,124,128,133,137,140,131,114,101,96,91,101,172,159,94,125,143,145,119,113,168,162,163,163,99,105,108,113,120,126,131,135,139,142,149,145,171,166,84,69,156,184,133,77,86,109,113,95,162,164,164,164,101,105,109,115,121,127,132,136,141,144,145,154,205,164,65,52,118,202,159,95,65,86,99,83,150,169,165,165,101,106,110,115,122,128,133,138,141,147,143,184,209,156,74,74,69,196,181,130,79,73,97,82,141,172,164,166,103,107,110,116,122,129,134,138,144,148,146,180,204,186,95,45,85,188,196,152,98,67,92,84,144,175,167,169,104,109,111,117,124,130,135,140,145,148,150,156,191,201,126,80,107,187,196,149,101,75,84,80,149,177,170,170,104,109,112,118,126,132,137,141,145,148,152,151,174,178,124,112,120,195,188,162,117,83,82,77,154,176,171,172,106,110,113,120,127,132,137,142,147,150,153,157,155,171,170,135,150,205,186,170,136,95,82,75,160,176,172,174,108,112,115,121,127,133,138,143,148,151,155,159,157,188,209,179,180,209,190,164,139,107,85,73,162,176,173,174,107,111,114,121,128,133,138,143,147,152,154,159,158,179,209,193,195,207,190,163,140,114,91,75,164,178,176,176,107,110,113,120,127,132,137,142,147,150,155,158,158,169,209,205,198,205,188,163,136,120,97,76,164,177,175,175,108,112,114,122,129,135,139,144,148,152,156,159,160,167,207,208,204,205,185,163,143,126,101,72,164,178,176,176,108,112,115,122,130,135,140,145,149,153,157,160,163,163,198,209,208,204,183,170,149,124,97,75,171,178,177,178,108,112,116,123,131,135,141,145,149,154,157,161,164,162,187,209,199,196,179,180,159,121,90,82,180,176,179,180,108,112,116,123,130,135,141,147,151,155,159,162,165,169,181,204,186,184,182,181,169,121,81,84,184,182,179,180,104,110,115,120,128,133,139,146,150,154,158,160,166,136,76,167,184,192,191,179,172,118,80,41,46,147,186,179
12,176,178,179,181,183,183,184,185,185,186,186,187,186,188,189,188,188,189,189,188,187,188,188,188,187,186,186,185,179,181,182,182,184,184,186,189,187,188,188,188,188,189,189,192,190,191,192,189,190,191,190,189,189,188,187,186,181,182,183,185,186,185,187,190,189,188,187,190,191,195,193,182,192,191,191,193,192,190,192,191,190,190,190,189,182,184,185,187,187,189,189,190,188,194,204,189,187,219,208,158,142,201,197,172,188,192,191,192,192,191,192,191,183,184,186,189,190,191,190,189,194,238,232,186,161,229,213,152,81,184,207,146,132,198,194,194,194,193,194,193,184,186,188,191,191,192,192,187,199,246,235,182,155,232,211,162,80,188,188,141,83,177,202,193,194,194,194,193,185,187,190,192,191,194,192,189,208,239,231,186,148,236,205,170,115,204,175,118,69,146,210,194,197,196,197,197,187,190,192,191,193,190,203,230,187,186,220,221,133,216,228,160,134,207,186,118,59,131,210,196,198,198,197,197,188,190,193,194,195,191,236,235,181,132,176,186,109,188,218,113,135,221,158,98,55,124,209,197,200,200,199,198,190,193,193,196,192,208,246,235,206,130,143,139,65,95,121,80,145,174,96,67,59,117,213,199,202,201,199,199,192,194,195,196,192,224,242,237,209,158,112,124,68,50,52,168,202,178,124,119,104,124,216,200,202,202,200,200,194,194,197,197,193,232,214,227,217,177,124,69,99,76,164,242,235,211,171,165,138,133,215,202,204,202,202,201,194,197,197,197,198,243,236,200,206,181,132,79,74,140,246,241,231,209,177,151,121,109,211,205,205,203,202,203,196,198,200,196,213,246,239,191,189,185,146,105,62,218,246,240,230,210,180,142,105,109,214,207,207,205,204,205,197,200,203,197,214,246,241,221,175,167,189,152,106,246,243,242,230,208,166,135,99,109,216,206,209,207,206,206,197,200,202,201,206,246,244,221,186,154,160,176,203,246,242,241,230,200,164,132,102,93,211,211,209,209,208,207,199,200,203,200,209,246,245,229,211,203,168,214,236,246,237,236,230,193,170,126,96,90,211,214,210,209,209,208,200,201,204,201,214,246,246,240,226,222,199,212,224,246,232,228,221,198,163,121,81,116,223,209,213,210,211,211,201,202,205,204,211,246,246,244,233,222,206,211,212,240,228,215,206,198,145,109,70,174,222,211,214,213,213,212,202,203,206,207,207,243,246,244,236,215,199,211,211,230,220,204,203,182,130,84,97,221,214,213,213,213,214,213,202,203,205,210,205,230,246,241,232,208,191,202,208,222,216,202,189,157,110,63,172,226,214,215,214,214,214,214,206,210,212,217,210,231,246,224,216,205,198,208,214,232,219,196,174,137,73,109,224,215,219,216,215,215,216,215,194,180,168,157,139,133,131,107,100,100,93,98,88,89,84,77,77,73,48,176,239,220,219,219,218,218,218,217,127,115,108,104,84,70,67,61,50,40,33,30,14,10,13,8,5,7,11,38,102,205,221,217,217,217,216,216,123,107,112,102,89,79,74,66,55,46,42,35,22,19,17,15,10,7,5,0,0,184,226,215,217,216,215,214,152,104,111,103,88,80,68,63,53,44,39,30,19,18,19,16,8,4,7,0,86,235,215,218,216,216,216,215,174,106,110,98,88,79,66,60,50,42,37,28,20,19,18,14,8,0,4,0,178,233,217,220,218,218,219,218,186,109,106,99,91,78,70,59,51,40,33,29,21,19,17,13,8,2,2,7,207,226,223,223,220,220,220,220
13,138,139,146,151,156,158,161,165,167,169,170,172,174,175,175,176,176,176,176,177,176,176,176,175,175,173,171,172,139,140,146,152,157,159,162,165,167,169,171,172,174,176,176,176,177,176,176,178,178,178,177,176,176,175,173,172,139,141,147,153,157,161,163,166,169,171,173,174,175,177,178,177,178,178,179,180,180,180,178,178,178,176,174,175,140,142,149,154,158,161,164,168,170,172,175,173,175,175,177,181,179,180,180,181,181,180,179,178,178,177,176,176,140,143,149,156,159,162,166,169,171,173,174,176,210,190,141,166,184,179,182,184,181,181,180,180,179,178,177,177,141,143,149,156,161,164,167,169,171,172,172,186,241,219,159,136,189,185,160,162,185,181,182,182,182,179,178,177,141,145,149,156,161,165,168,170,168,182,178,172,235,222,182,133,152,170,140,98,167,187,182,183,182,180,180,179,141,145,150,155,161,166,168,165,187,223,178,147,187,194,167,103,134,131,108,85,133,192,181,183,182,182,182,181,142,145,152,157,162,162,182,168,193,230,191,143,163,183,151,101,144,115,87,82,128,193,182,184,184,183,183,181,143,147,154,159,160,173,227,174,139,211,210,159,128,189,188,174,161,133,84,66,133,194,185,184,184,183,183,182,144,148,154,161,155,202,230,189,141,166,216,171,103,113,183,188,172,174,141,71,148,195,186,185,185,184,183,183,145,147,154,160,161,206,213,202,157,125,204,175,126,49,101,140,168,187,189,126,154,196,186,187,188,186,185,183,143,147,152,155,164,210,195,200,166,111,168,193,137,63,59,82,156,210,211,184,122,176,190,186,185,184,184,183,142,146,152,153,178,229,194,192,180,120,114,198,142,68,64,149,188,188,191,183,125,130,196,186,186,185,184,183,144,147,154,151,213,224,183,167,179,138,79,170,166,118,167,209,194,187,165,146,147,107,179,190,188,186,185,184,144,149,156,151,219,226,194,154,150,174,107,139,207,216,211,192,183,178,152,128,133,109,174,191,187,187,187,185,143,147,155,152,222,231,205,191,168,173,191,207,223,222,198,182,181,156,137,118,104,137,193,187,187,188,187,185,140,146,153,154,225,235,214,203,190,174,198,220,220,215,189,168,160,142,131,101,109,182,190,187,186,186,185,184,144,149,156,154,218,235,220,202,189,176,192,216,215,199,174,151,141,140,116,100,171,197,192,192,190,189,189,188,127,128,134,123,193,235,221,208,191,182,194,213,198,170,156,146,145,128,100,106,139,136,136,133,132,132,131,132,98,99,104,88,144,234,219,210,195,189,192,207,188,156,142,149,139,110,99,96,92,90,90,89,88,88,87,86,106,108,109,104,118,222,213,209,196,183,184,204,190,148,130,133,116,100,101,102,103,100,98,98,97,96,96,95,106,107,109,109,105,206,206,209,202,185,179,200,185,134,119,116,102,99,102,99,100,101,100,98,97,97,97,95,109,109,109,111,99,191,208,214,210,192,174,194,183,131,116,107,99,103,102,100,99,100,100,99,98,99,97,96,110,112,111,113,97,179,216,222,218,201,170,185,186,137,113,99,99,104,102,100,99,100,100,98,97,98,96,96,108,110,111,114,101,155,226,224,219,200,170,177,187,138,108,95,100,105,103,101,100,101,99,97,99,98,97,90,109,110,109,110,106,125,218,214,196,183,169,171,180,139,108,93,101,105,102,101,101,104,99,97,99,99,89,157,109,110,111,111,110,109,209,210,178,176,180,163,169,143,109,91,99,105,103,102,101,105,99,97,99,91,133,217
21,97,104,110,110,113,118,123,126,128,132,133,135,136,138,140,140,139,144,142,140,140,138,138,136,135,134,134,133,98,105,110,112,116,119,124,127,130,133,134,135,138,140,141,142,144,114,135,143,141,140,140,139,138,136,135,134,99,106,111,113,117,121,125,128,132,136,137,137,140,143,142,149,162,62,91,151,139,142,142,140,138,136,137,138,99,107,112,112,117,123,127,130,132,136,137,139,142,144,142,154,159,65,92,155,144,143,143,141,141,141,139,139,101,108,112,113,119,124,128,132,133,135,138,141,143,144,142,158,152,71,93,155,144,145,145,129,91,131,143,139,103,109,113,115,121,126,129,134,134,137,140,142,143,145,144,163,152,73,95,158,147,148,144,113,52,118,149,141,103,110,114,117,121,126,130,135,137,140,142,144,146,148,146,164,151,80,97,159,148,147,140,105,60,139,145,144,102,110,115,117,120,126,131,135,139,142,144,145,147,151,147,164,149,82,90,159,147,147,135,92,74,152,144,145,103,112,117,118,123,127,133,136,140,143,144,146,149,151,147,167,150,86,79,161,149,146,134,78,103,155,146,147,104,112,116,118,125,129,135,139,142,144,146,148,150,151,147,176,159,83,84,162,147,139,124,64,129,153,148,147,105,114,118,120,126,131,134,138,141,144,146,148,149,153,151,179,148,75,96,163,141,139,99,67,151,150,148,148,106,116,120,121,127,132,134,138,142,144,146,150,152,142,152,170,122,62,95,163,143,141,72,96,162,149,151,150,106,116,120,120,127,133,136,140,143,146,147,160,136,97,106,130,84,47,96,158,150,125,58,133,160,152,152,152,108,117,121,122,127,133,136,141,146,148,149,158,134,90,74,52,50,56,108,143,140,93,67,158,156,153,153,153,107,117,120,122,129,134,137,143,145,146,154,156,147,138,115,75,33,64,98,114,112,61,99,168,155,157,156,155,108,118,120,123,130,134,138,144,148,147,163,178,162,186,149,98,43,43,64,77,82,50,134,166,157,158,158,156,110,120,122,123,131,136,140,144,146,152,155,144,160,170,134,76,50,41,48,61,60,61,158,162,158,159,158,157,111,118,122,124,130,135,142,145,146,162,144,105,154,114,122,92,62,49,39,49,45,78,168,161,160,159,159,158,110,118,121,125,130,136,142,147,147,163,169,130,97,50,112,120,78,53,47,42,38,82,171,162,162,160,159,158,111,120,122,125,132,137,141,147,147,166,154,101,77,60,83,135,96,68,52,49,37,72,172,163,163,162,160,160,112,120,121,125,132,138,142,148,147,174,151,119,124,91,120,165,108,95,66,51,42,77,171,165,164,163,161,161,112,119,121,125,132,138,143,149,149,182,157,143,116,106,190,173,115,104,74,56,46,83,173,166,165,165,164,162,112,119,122,127,133,138,144,149,151,178,178,148,106,150,195,151,108,94,79,62,50,89,173,166,167,167,166,164,113,118,122,126,131,138,143,148,150,180,185,133,119,157,184,143,116,86,79,67,49,108,176,165,167,166,165,163,111,117,120,124,130,137,142,145,146,175,160,127,133,147,182,143,130,98,64,65,49,120,174,165,167,166,163,163,111,117,119,123,131,137,143,146,147,167,143,148,142,136,183,142,117,99,68,64,54,129,175,166,167,165,164,163,111,118,119,124,132,138,144,148,151,158,150,177,140,144,170,129,100,81,68,62,56,142,174,167,167,165,166,165,111,118,120,124,131,138,144,148,151,153,158,164,129,124,153,118,86,69,64,56,56,152,172,167,168,166,165,165
23,61,72,89,97,102,106,111,114,115,118,120,124,125,128,128,130,133,133,134,135,136,139,140,141,142,144,144,144,62,73,90,98,103,107,112,115,118,120,121,126,127,129,130,131,132,134,135,135,139,139,141,141,142,143,144,145,63,77,93,98,104,108,112,116,118,120,124,126,128,131,132,133,133,135,136,136,140,141,143,143,144,145,146,146,66,79,94,99,106,109,112,116,120,124,126,127,128,133,134,135,137,138,138,139,141,141,143,143,145,148,147,147,66,81,95,100,107,111,114,118,121,124,127,128,129,132,134,135,137,140,139,139,140,143,145,149,147,148,149,149,68,83,97,102,108,112,116,119,122,124,127,129,132,134,135,136,139,138,141,145,131,132,136,93,135,152,150,151,71,85,99,102,109,113,117,120,124,127,128,131,133,135,136,136,137,148,157,142,115,101,77,61,145,151,150,152,74,89,100,104,110,113,117,122,125,128,131,132,134,136,136,143,154,149,143,98,60,89,96,140,155,152,153,155,74,91,101,106,111,114,118,122,125,127,130,133,135,137,133,169,153,112,83,62,119,133,158,155,153,155,155,157,75,93,101,106,110,115,119,122,125,127,131,135,136,137,136,176,155,79,71,158,149,67,135,156,153,155,156,157,77,93,100,106,111,115,120,123,127,128,133,135,136,137,143,180,156,133,176,168,123,83,107,167,155,157,158,157,78,94,102,108,113,117,122,125,127,129,132,135,137,137,151,176,162,178,164,135,123,134,99,117,127,161,157,159,79,96,101,107,113,118,122,126,128,129,132,135,139,138,151,164,158,161,148,156,156,141,89,44,65,146,165,160,81,96,102,107,113,119,122,126,129,131,132,137,138,141,152,150,144,155,161,151,138,118,71,28,30,93,170,161,83,97,103,108,115,119,123,127,129,131,137,137,146,161,153,139,141,147,139,134,136,111,57,25,31,42,93,162,85,98,103,109,115,120,124,127,129,133,136,132,167,181,147,142,142,142,138,131,111,90,55,28,23,53,46,117,86,98,104,108,115,120,125,127,130,132,135,134,153,186,160,159,139,106,86,70,73,96,54,25,18,50,52,135,88,99,105,111,115,120,126,129,131,132,135,137,147,179,163,147,123,105,60,6,74,103,53,27,39,55,80,170,89,100,105,112,116,122,127,130,133,133,136,139,151,173,147,135,147,94,43,26,92,76,25,25,60,54,125,174,91,101,104,110,117,123,127,131,134,134,138,139,149,176,145,152,149,81,16,24,31,6,17,40,63,73,167,167,93,101,106,111,116,122,127,130,133,135,138,139,150,171,148,158,138,96,39,0,0,17,48,60,51,113,174,165,93,101,107,113,117,124,127,129,133,135,137,140,152,166,149,163,139,95,55,0,22,51,66,69,64,156,167,166,95,101,107,113,118,125,128,131,134,135,140,139,155,165,155,161,139,96,67,18,37,63,72,60,102,176,164,168,94,101,107,114,119,123,128,132,134,137,141,140,158,164,158,158,134,98,66,21,44,69,71,52,131,174,167,169,95,101,107,114,119,124,128,132,135,136,141,141,160,167,152,147,129,97,66,37,43,69,65,60,160,169,168,169,95,101,107,115,118,123,129,133,134,138,142,142,159,165,145,139,123,96,69,51,44,66,51,95,176,164,167,168,95,101,108,115,118,123,129,133,135,138,141,142,159,163,146,140,119,99,77,56,47,57,54,153,171,167,168,169,94,100,108,113,120,124,128,134,136,137,142,142,168,162,149,141,121,103,82,58,52,48,111,174,165,170,170,170
15,28,51,64,76,85,93,102,111,120,125,129,134,137,140,143,146,148,150,152,154,156,158,159,160,162,164,166,167,30,53,65,77,86,94,102,111,121,125,130,135,138,141,144,146,149,151,153,155,157,159,160,161,163,165,167,168,33,55,67,78,87,95,102,113,122,126,130,135,139,142,145,148,150,152,154,156,158,159,161,163,164,166,168,169,37,57,69,80,89,97,104,114,122,126,131,135,139,142,146,149,150,152,154,157,158,160,162,164,165,167,168,169,42,59,70,80,92,112,113,113,120,126,131,136,139,143,146,149,151,152,155,157,159,161,163,165,166,167,168,170,46,61,72,81,100,134,125,112,109,116,127,135,139,143,147,150,151,153,156,157,159,162,164,165,167,168,169,171,51,62,73,83,98,124,127,118,109,105,111,123,134,142,147,150,152,154,157,158,160,163,165,166,167,167,169,171,54,63,73,84,93,105,115,115,111,107,110,113,116,124,137,147,152,155,157,159,161,163,165,167,167,168,170,172,56,64,74,83,92,100,108,113,109,110,115,117,115,110,111,126,142,152,157,159,160,163,166,168,168,169,172,173,59,66,76,84,93,101,109,117,118,119,119,118,116,112,107,109,115,131,148,156,161,164,166,167,169,170,173,174,61,68,77,86,93,101,109,119,124,127,128,121,113,111,113,112,108,107,117,135,151,161,165,167,169,171,173,175,61,68,78,87,94,102,111,120,125,130,134,129,120,115,107,103,102,102,105,113,120,137,157,167,170,172,174,175,62,69,79,88,95,102,112,122,126,133,138,120,108,112,110,96,91,99,111,117,117,111,126,158,170,173,174,175,62,70,80,88,95,102,112,122,126,136,137,117,99,100,111,107,104,110,115,123,125,111,102,131,167,173,175,176,64,70,81,89,96,104,114,122,126,132,127,114,110,114,118,108,106,109,107,118,125,117,107,108,150,172,175,176,65,72,81,89,97,104,113,121,126,131,132,119,122,134,129,109,94,90,86,107,123,119,118,104,120,164,175,175,66,73,82,89,96,104,113,121,126,133,144,126,116,128,127,115,106,98,88,96,104,110,114,104,98,142,173,176,66,74,82,89,97,104,113,122,126,138,141,112,90,91,106,118,122,119,108,99,96,95,98,99,92,113,164,176,66,74,82,89,97,104,115,122,127,142,126,93,73,53,59,88,119,132,128,120,111,94,84,89,88,91,143,175,67,75,83,90,97,105,116,121,132,142,109,78,70,54,43,46,78,125,139,135,124,101,84,85,85,81,113,165,68,75,84,91,98,106,116,122,135,130,92,83,93,83,67,47,43,95,138,139,127,109,95,89,86,81,90,138,68,75,83,91,99,107,117,126,130,106,85,111,121,106,96,78,50,74,132,140,132,121,111,100,91,85,82,101,69,76,84,92,99,107,117,125,113,93,102,134,134,116,108,100,83,82,127,142,139,132,124,111,99,90,85,82,70,77,85,92,99,107,118,121,114,113,127,136,133,120,106,101,97,98,120,138,142,138,129,118,106,97,90,86,71,77,85,92,99,108,117,122,126,131,136,139,134,121,104,97,95,105,115,126,135,135,129,120,110,101,95,90,71,77,84,91,98,109,118,122,127,132,136,140,143,141,133,125,116,117,120,113,121,127,125,120,113,104,96,93,71,77,83,90,97,108,117,122,127,132,136,140,145,148,150,150,148,148,141,126,122,127,124,119,115,108,100,95,71,77,83,89,96,107,116,120,125,131,136,140,145,148,151,153,157,163,161,150,140,137,126,117,114,112,107,101
5,134,136,140,141,141,143,144,144,145,147,146,146,147,147,148,146,151,149,147,148,146,146,145,144,142,142,143,141,137,141,143,143,144,146,148,148,148,149,151,151,151,152,151,151,124,147,151,149,150,149,148,147,146,145,145,143,141,144,147,148,148,150,151,152,152,152,154,154,152,155,155,168,100,125,161,152,154,153,152,150,150,149,148,147,146,148,151,151,152,153,155,156,155,157,157,156,158,124,137,179,108,104,167,156,157,156,155,155,154,153,151,150,149,151,154,156,157,157,158,159,159,161,161,158,172,121,105,186,106,90,172,159,160,158,158,157,156,156,155,153,152,154,159,160,160,161,162,163,164,163,164,162,178,134,94,180,106,92,175,162,163,162,161,160,159,158,158,157,154,156,161,162,162,165,165,165,161,164,169,165,181,138,84,177,118,99,176,166,167,167,165,163,162,162,162,159,158,159,163,165,165,168,167,173,138,128,176,166,182,150,87,173,109,103,179,169,170,169,172,170,164,164,164,162,160,162,166,168,169,170,168,175,148,97,175,169,185,153,76,166,102,106,183,172,172,169,136,154,173,166,165,165,162,165,169,171,171,172,170,179,169,81,169,174,183,151,67,165,124,107,185,169,175,175,134,109,173,171,168,167,163,167,170,172,172,173,174,178,168,83,168,178,178,166,78,141,138,109,184,167,158,139,167,140,137,173,171,170,167,169,173,175,175,176,177,177,184,94,149,183,172,174,84,104,140,118,181,170,151,58,134,160,109,160,178,172,169,172,176,176,178,178,177,179,189,126,119,186,174,178,88,97,138,117,170,166,139,102,167,139,112,180,176,175,169,173,177,178,179,179,181,180,175,179,140,150,173,163,110,121,125,103,142,152,114,156,183,106,148,185,175,177,172,175,178,181,182,182,181,184,170,185,172,137,141,140,116,116,115,106,144,151,118,174,164,82,166,183,178,178,175,178,179,182,183,184,184,185,180,181,194,159,133,132,107,113,110,108,138,147,132,189,139,68,179,183,181,180,176,179,181,182,183,185,186,186,186,183,208,181,122,117,100,94,104,112,135,143,133,194,134,85,192,182,182,182,177,180,183,183,184,186,186,187,188,186,210,190,127,92,92,86,100,126,145,131,124,189,135,100,195,183,184,184,180,183,184,185,186,186,189,189,190,186,205,187,134,93,92,88,116,139,157,169,137,175,136,107,196,185,185,184,180,183,184,185,187,190,190,190,192,186,201,182,134,95,86,96,129,146,175,187,150,149,115,101,196,187,187,184,182,184,185,187,189,190,190,191,193,185,201,182,142,97,85,104,143,169,175,178,163,121,77,87,197,188,188,188,183,184,185,189,190,190,192,191,195,186,198,183,147,99,87,103,152,183,180,170,141,94,46,115,201,188,190,190,183,184,189,190,190,191,193,194,197,190,190,182,146,101,94,96,161,191,178,150,119,69,68,187,195,191,191,190,184,185,189,191,191,191,193,195,198,186,175,179,146,106,102,94,159,179,156,130,98,54,154,205,193,193,191,191,185,185,188,190,191,191,194,194,199,188,168,172,138,118,107,96,145,160,143,119,66,93,205,195,197,195,193,192,184,186,188,190,190,190,192,193,196,190,166,161,132,123,102,94,136,147,134,86,53,175,202,196,197,196,194,193,183,185,188,190,190,190,191,194,196,189,170,164,137,122,104,83,121,120,95,51,142,206,194,197,196,196,194,193,184,185,189,190,190,190,193,195,199,186,176,164,126,114,106,79,102,89,51,111,207,195,198,196,196,196,194,192
23,162,163,164,166,167,167,167,168,170,171,173,173,174,171,168,169,170,171,172,170,171,171,172,172,171,172,169,168,163,164,165,167,167,168,170,171,173,173,173,170,171,174,187,197,190,167,166,173,174,172,172,173,173,173,171,170,164,165,166,168,170,171,171,172,174,173,176,184,195,209,213,207,191,177,164,165,128,153,176,175,175,174,173,172,165,167,169,169,172,173,172,174,176,173,217,224,203,194,191,166,125,129,124,107,107,171,176,175,175,176,176,176,167,168,169,170,172,173,175,176,172,182,230,210,165,166,138,111,142,143,134,143,173,178,175,177,177,177,177,176,168,168,170,173,174,175,177,178,170,192,230,200,144,104,122,161,182,182,183,183,178,177,177,179,178,178,177,177,170,169,172,175,175,176,179,179,172,212,230,197,154,126,185,183,191,192,169,178,178,180,180,181,180,179,179,178,171,172,175,175,176,178,179,179,178,226,219,206,144,133,208,213,225,216,135,173,192,181,181,182,183,182,182,181,172,175,176,176,177,180,182,175,189,230,209,208,162,202,230,228,218,188,118,113,142,181,184,183,183,183,182,182,174,176,177,178,179,181,183,174,206,230,207,215,228,229,223,207,192,178,181,138,68,138,191,181,182,184,183,182,176,177,179,180,181,181,182,179,221,228,220,219,221,221,215,208,209,211,213,175,92,101,195,185,187,186,185,185,177,179,181,182,183,183,179,207,225,222,218,212,216,218,219,216,210,195,178,145,94,78,151,192,186,189,187,186,178,179,182,182,184,178,203,230,224,226,220,213,208,210,211,204,193,179,181,164,90,75,96,188,189,189,188,188,180,181,184,184,184,178,214,230,228,228,222,205,200,205,207,202,193,187,190,174,98,69,105,195,189,190,190,190,181,182,184,187,186,184,208,230,228,229,226,215,215,208,199,194,182,177,173,143,100,68,141,200,189,191,191,191,182,183,184,187,192,187,202,230,228,229,227,215,218,195,162,164,155,145,132,131,98,85,179,198,192,192,192,191,184,185,185,188,192,188,198,230,229,230,223,212,208,182,135,104,89,93,125,130,92,112,201,195,195,194,192,192,185,187,188,189,191,189,195,230,229,230,222,210,194,168,141,109,21,62,131,128,88,146,206,195,196,196,195,194,186,188,189,190,191,191,193,228,229,230,224,208,212,211,138,67,41,93,121,107,83,174,202,195,197,198,197,194,188,189,190,191,192,192,192,226,229,230,224,214,216,197,135,67,62,107,93,81,103,202,198,197,198,198,197,197,189,191,190,192,195,195,193,224,230,229,225,219,217,181,138,98,58,75,82,84,119,209,196,198,199,200,198,198,189,192,192,193,195,198,193,220,230,229,224,224,220,183,137,108,57,69,94,85,136,211,198,200,200,202,200,199,190,192,192,195,196,198,194,221,230,229,225,225,216,183,139,114,77,80,101,85,163,210,200,202,202,203,202,202,190,192,194,196,197,199,194,221,230,229,227,223,212,186,144,117,87,90,103,91,190,204,201,203,203,203,203,202,191,192,195,196,198,200,194,221,230,229,226,220,204,176,141,114,95,93,93,117,212,201,203,203,204,204,204,202,192,194,196,197,198,202,196,219,230,228,222,208,191,166,133,112,103,98,82,172,212,203,205,206,205,205,204,204,194,196,198,198,198,203,198,219,230,228,218,196,174,147,125,116,108,87,114,211,205,206,205,206,206,206,205,204,196,197,199,199,200,204,199,220,230,229,217,193,173,148,126,114,104,96,191,211,205,205,206,207,207,206,206,204
2,119,133,141,142,147,152,157,162,166,169,171,169,173,179,183,179,187,190,193,189,190,193,193,193,193,194,194,195,122,135,142,144,150,155,158,164,166,165,171,196,217,214,198,194,196,164,137,190,188,187,195,191,192,193,193,192,123,135,143,147,152,158,163,163,176,198,213,198,168,146,106,104,130,101,65,114,124,102,176,196,191,192,192,191,125,136,143,148,154,162,160,179,237,224,163,117,96,93,76,70,75,74,77,82,69,70,174,198,191,192,192,192,128,139,146,149,157,160,184,241,214,144,75,59,65,66,63,67,63,55,78,96,113,175,197,191,191,191,191,190,130,142,148,152,160,165,239,223,121,78,61,44,64,53,51,58,64,103,174,195,200,198,195,194,194,195,193,192,134,144,149,157,161,182,254,179,83,61,57,58,69,51,66,62,163,207,201,199,198,198,198,199,195,194,196,194,137,147,152,161,161,198,252,158,84,58,49,61,56,62,62,100,215,203,203,204,204,204,205,200,206,174,191,200,140,150,155,163,162,222,240,126,63,50,52,50,44,60,53,168,217,208,209,208,210,211,204,210,211,139,193,206,144,154,158,166,165,246,227,127,84,69,68,52,54,54,98,222,212,213,213,213,213,213,211,224,173,119,211,208,148,158,161,165,181,255,221,141,97,79,65,57,77,60,147,230,214,218,218,217,218,214,214,212,133,141,226,211,151,160,166,167,213,255,215,142,92,78,58,61,73,57,182,229,219,222,223,221,225,207,198,190,101,152,231,215,156,163,167,171,225,255,209,136,90,76,59,60,64,59,193,235,224,225,224,227,222,192,199,163,87,140,235,219,158,165,171,173,226,255,203,130,90,71,60,54,67,73,134,222,219,231,237,233,204,205,199,147,81,176,236,223,160,167,174,174,221,255,204,142,99,75,59,58,78,100,93,121,145,151,191,193,198,206,196,124,130,239,227,230,163,170,177,176,225,255,204,146,103,80,60,64,98,113,111,130,152,154,135,169,205,196,156,107,224,237,232,232,167,171,179,180,238,255,205,152,111,84,59,74,106,104,112,139,160,174,170,157,187,175,101,184,248,236,238,235,170,174,182,184,246,255,204,157,123,89,63,81,105,106,137,159,170,159,157,141,144,115,137,252,238,240,240,239,172,177,187,187,245,252,204,163,130,93,69,85,111,127,161,165,160,145,128,120,103,85,230,249,242,243,243,242,176,180,188,193,246,244,200,169,140,96,76,89,113,135,152,157,144,130,115,96,78,189,255,243,245,246,245,244,178,182,191,194,236,232,196,178,150,100,90,93,112,135,140,146,136,120,97,103,214,255,247,250,248,249,249,248,182,184,195,195,228,225,202,190,154,108,100,92,115,131,137,137,129,99,118,244,255,249,252,252,252,252,251,251,184,188,196,199,229,226,210,189,147,114,107,95,122,126,128,127,102,101,239,255,249,253,253,254,254,253,252,253,187,191,200,207,241,229,207,179,144,123,113,94,116,117,112,94,106,227,255,253,255,255,255,255,255,254,254,253,190,193,200,215,253,230,215,182,145,123,110,97,106,113,79,137,245,255,255,255,255,255,255,255,255,254,255,255,191,196,201,224,255,231,225,182,140,116,105,96,106,83,132,255,255,255,255,255,255,255,255,255,255,255,255,237,193,197,204,227,242,223,207,166,120,103,96,99,92,110,247,255,255,255,255,255,255,255,255,255,252,196,125,74,195,200,206,225,226,214,205,167,114,102,104,110,80,184,255,255,255,255,255,255,255,255,242,167,98,53,43,45
24,135,141,147,152,156,159,163,167,170,172,176,179,181,182,184,186,186,187,187,187,188,189,189,189,190,189,189,188,137,143,149,154,158,161,164,168,172,175,178,180,183,185,187,187,187,188,189,189,190,191,192,193,192,192,191,191,139,145,151,156,160,164,166,169,174,177,180,182,185,187,188,189,190,191,192,192,193,193,195,195,194,193,194,194,141,147,153,145,159,166,169,172,175,179,182,185,187,189,191,192,193,194,195,195,195,195,196,196,195,195,196,196,142,151,154,109,136,168,170,174,178,181,183,186,188,191,193,194,194,195,195,197,197,196,197,197,197,197,197,197,144,151,148,101,99,168,172,177,180,182,186,188,189,193,195,196,196,196,198,200,200,197,199,200,200,200,200,200,145,153,155,113,80,155,174,177,182,185,187,190,192,196,197,198,199,198,200,201,201,200,200,201,201,201,201,201,146,153,160,128,78,130,178,179,179,182,189,188,177,184,195,180,184,200,201,202,203,202,201,202,203,202,200,198,149,156,162,145,96,98,173,175,146,137,174,183,147,117,153,159,129,172,204,203,203,203,203,203,202,193,171,140,149,156,162,164,119,82,142,167,152,139,143,189,160,112,136,165,120,114,202,205,204,204,205,204,195,171,132,116,151,156,162,168,140,102,109,153,184,166,137,181,172,128,149,169,115,91,189,208,207,207,205,198,179,138,119,185,152,158,163,167,162,130,104,105,180,178,137,161,176,131,146,170,116,78,171,210,208,207,201,193,158,108,161,210,153,159,165,169,172,143,117,117,147,184,149,140,179,135,132,176,131,74,156,211,208,198,197,183,129,106,198,211,154,161,166,171,174,162,165,146,128,160,146,106,160,127,111,179,147,75,121,203,187,182,188,153,103,163,211,211,155,161,167,171,174,182,178,130,101,118,133,86,131,122,104,198,168,69,72,134,155,173,158,110,137,209,212,213,154,161,167,172,175,182,171,136,111,108,123,103,119,130,98,129,115,77,110,142,152,146,117,108,196,214,214,214,155,161,166,171,175,179,192,171,132,114,112,119,104,151,123,113,158,165,171,158,130,113,90,157,214,212,214,213,155,162,167,170,175,180,195,186,159,136,114,104,111,152,173,195,198,187,172,149,113,93,110,200,213,212,214,213,155,161,167,171,176,180,195,196,182,151,117,100,134,178,204,201,192,176,158,133,102,94,174,213,213,215,215,215,156,162,167,171,177,180,195,202,192,154,120,116,154,189,204,199,184,162,139,117,91,144,211,214,215,215,216,216,155,161,167,172,176,180,189,199,199,163,141,144,152,188,199,195,175,153,127,101,104,198,215,214,215,216,216,216,148,154,160,166,171,176,180,191,194,170,150,153,138,171,186,181,164,145,114,92,159,216,215,215,215,216,218,217,106,109,111,113,117,122,126,157,187,171,151,145,121,142,166,155,142,124,100,107,176,187,191,193,196,199,203,204,95,95,97,98,98,99,98,116,186,173,143,130,109,133,159,142,120,103,90,99,109,111,114,116,117,120,122,123,97,98,101,102,103,103,104,107,176,164,134,121,117,135,154,132,105,87,88,105,107,107,108,109,107,109,116,126,97,98,99,100,100,102,103,106,179,162,144,137,135,137,143,120,92,79,93,108,109,109,109,116,137,168,178,168,98,99,102,101,101,103,102,112,190,177,164,156,141,130,134,108,86,77,99,109,109,110,108,137,193,193,204,184,100,100,102,102,102,103,103,115,186,179,173,160,132,120,126,99,84,75,99,109,109,109,114,182,216,190,179,203
7,165,165,165,166,164,165,164,163,162,159,160,160,158,157,156,156,155,153,152,151,149,148,147,146,145,142,141,140,168,167,167,167,165,165,165,164,164,162,162,162,159,159,159,159,157,155,154,152,151,150,150,147,147,144,143,142,170,170,168,168,167,166,166,166,165,165,164,163,162,162,161,159,159,157,156,156,154,152,151,149,149,147,145,144,172,171,171,171,170,169,169,168,167,166,166,165,165,164,163,161,161,159,158,157,156,154,152,151,150,149,147,145,173,173,172,172,172,171,171,170,169,169,167,166,166,166,165,163,162,160,159,158,157,156,155,154,152,151,149,148,175,175,174,174,173,173,172,171,171,170,169,168,167,167,167,164,165,164,161,160,159,158,157,155,152,152,150,149,177,177,175,175,175,174,174,174,172,172,171,170,169,168,168,168,166,165,164,162,160,159,158,157,155,153,152,150,179,179,177,177,177,176,176,175,172,171,175,174,174,172,171,170,168,167,166,164,163,162,160,158,158,155,153,152,180,180,179,178,179,178,175,182,165,138,158,147,158,168,173,173,172,169,167,166,165,163,161,159,159,158,155,154,180,180,181,180,179,178,178,197,175,181,168,106,89,104,126,139,153,168,172,169,166,165,163,162,161,160,157,155,182,181,182,182,182,179,188,191,187,197,168,119,104,90,86,96,98,107,131,157,164,166,165,164,162,160,158,157,183,182,183,183,182,181,192,186,193,190,169,162,162,122,82,80,86,88,87,87,101,114,134,153,166,162,160,158,185,185,184,185,182,186,195,195,197,186,178,182,170,141,109,85,83,84,77,82,83,85,85,115,163,163,161,160,186,186,186,186,184,191,194,198,194,184,181,179,165,156,142,112,81,82,77,77,85,85,83,80,99,124,159,161,186,185,186,185,187,196,199,193,186,180,174,168,169,170,153,122,89,79,83,82,93,87,81,77,76,88,152,163,188,187,188,184,189,197,201,193,184,177,162,164,173,170,151,118,95,85,75,99,163,154,137,127,124,140,163,163,189,188,188,181,193,198,198,185,179,175,166,166,170,155,134,110,93,89,84,95,174,176,174,173,171,169,165,164,190,189,189,180,199,203,194,176,177,177,169,164,154,129,120,108,90,94,97,92,158,176,172,172,171,169,167,165,191,190,184,182,204,200,189,177,175,170,162,156,132,122,120,105,95,91,94,123,173,176,173,172,170,168,167,166,192,192,176,189,203,194,183,183,172,165,158,142,127,128,116,102,79,75,120,170,178,176,175,173,171,169,168,166,192,189,172,197,197,187,180,179,163,159,149,136,135,126,106,101,101,148,179,180,177,177,176,174,170,168,167,166,194,177,179,199,192,183,180,171,162,154,143,137,130,114,98,144,182,184,182,180,179,178,176,174,172,170,168,166,191,167,190,192,188,182,174,169,157,143,141,131,117,101,119,182,186,183,183,181,181,179,177,176,173,171,170,168,181,176,189,186,186,184,165,153,140,135,132,118,105,113,173,188,185,184,183,182,181,179,179,177,174,172,170,168,172,186,185,185,185,170,146,134,126,121,114,103,121,174,190,187,185,185,184,181,180,180,179,177,175,173,171,169,170,185,190,193,167,148,135,120,111,103,96,111,179,191,188,187,187,185,184,182,181,181,179,177,175,173,171,170,176,178,192,181,145,148,127,107,99,95,105,164,193,190,189,188,187,185,184,184,182,181,179,178,176,174,172,170,175,176,181,167,148,153,126,99,92,102,173,194,193,190,189,187,187,186,185,185,183,181,180,178,177,174,173,171
22,96,102,105,108,114,118,121,124,127,129,131,132,134,135,135,135,136,135,134,134,134,133,132,131,130,129,128,127,97,103,106,109,115,118,123,125,128,130,131,136,136,136,137,138,135,137,140,136,135,135,134,132,131,130,130,129,98,105,108,111,116,120,125,128,129,144,121,104,141,137,139,137,140,125,119,140,136,136,135,136,136,132,131,130,100,107,109,112,117,122,126,129,128,160,124,75,141,139,140,138,149,113,72,139,138,137,139,123,120,136,133,131,101,107,110,113,118,123,127,131,129,163,133,75,139,141,141,142,145,103,70,144,139,140,143,98,72,138,134,133,102,108,111,115,120,124,128,132,130,161,142,79,135,144,142,144,139,90,88,149,137,144,139,90,80,142,134,134,102,109,111,115,121,126,130,133,131,164,155,87,126,148,142,138,133,78,109,149,143,149,124,67,114,144,136,136,103,110,112,116,122,128,131,135,132,163,153,86,117,151,142,134,121,67,125,146,153,149,103,76,143,139,137,137,104,111,114,118,123,129,132,136,133,162,151,87,104,154,142,142,124,65,136,150,148,126,82,109,148,140,139,139,106,112,115,119,125,130,133,137,136,157,166,111,96,152,140,143,108,74,155,165,147,97,70,141,143,142,140,140,107,113,115,119,126,131,134,138,139,149,166,114,83,150,126,126,73,90,173,164,140,76,98,153,142,143,142,141,108,113,116,121,127,132,136,139,141,143,166,104,55,117,113,125,115,142,163,147,116,63,138,149,145,144,143,142,109,114,117,121,127,133,137,139,149,125,127,95,73,121,131,131,152,152,147,125,71,90,155,146,146,145,143,143,109,114,117,122,127,133,138,142,156,125,108,98,105,107,117,138,142,142,139,96,62,142,151,147,147,147,145,143,111,116,118,123,130,136,136,151,161,136,142,131,123,78,56,112,127,137,114,69,96,161,149,149,149,148,146,145,111,117,119,124,131,136,137,156,172,142,130,133,124,106,79,52,87,97,76,57,117,161,150,150,149,149,147,146,112,117,119,125,131,136,137,166,165,134,86,80,118,126,112,80,49,57,62,53,139,158,153,152,151,150,148,147,112,117,119,125,133,137,139,170,166,134,85,46,79,132,124,105,78,57,49,52,149,157,155,153,152,151,149,148,112,118,120,127,132,138,139,172,182,137,144,70,97,159,136,111,96,77,42,37,142,160,155,153,153,152,150,149,113,118,121,127,132,139,141,173,180,137,130,74,136,174,143,115,101,78,40,31,140,162,154,154,153,152,152,150,114,118,120,126,133,139,139,173,182,138,119,126,168,149,141,111,90,69,35,45,155,158,154,154,154,154,152,150,113,118,120,126,133,139,138,167,176,152,124,146,176,135,125,126,85,64,28,75,166,154,154,154,153,154,152,150,113,118,120,127,133,139,139,161,174,159,126,151,170,136,122,122,95,55,24,104,167,154,155,154,153,154,153,150,114,118,120,127,134,140,141,156,170,162,128,138,160,132,118,111,81,46,27,133,164,157,157,155,154,154,153,151,113,118,120,127,133,139,144,140,169,156,129,115,135,112,97,87,58,30,51,160,157,156,156,153,152,152,151,151,114,119,122,129,136,142,147,48,113,155,99,90,102,101,83,63,47,31,114,173,163,163,161,160,158,158,158,156,95,98,100,102,104,110,90,31,32,90,95,100,104,114,96,64,47,41,107,114,111,111,112,112,112,112,111,111,77,77,76,77,78,71,39,34,34,29,78,102,101,107,95,58,31,22,67,68,66,66,65,64,63,63,55,42
8,102,112,119,126,130,134,138,140,142,145,149,151,152,155,159,160,163,165,166,166,167,167,170,172,172,173,173,173,105,113,119,126,131,136,140,141,143,152,136,140,156,157,159,162,164,165,166,167,168,170,172,174,173,173,173,173,106,115,121,127,133,138,143,141,152,181,114,99,163,157,159,163,166,167,168,169,172,174,172,173,174,174,174,174,107,117,124,131,134,139,144,138,167,170,91,93,166,158,161,165,167,167,168,172,175,172,177,176,175,175,175,176,110,115,125,133,136,140,144,139,186,144,72,117,167,159,162,165,169,170,171,173,174,175,152,171,178,175,177,177,114,118,126,133,137,142,142,150,190,121,69,136,166,163,166,166,169,172,175,172,187,175,80,136,188,176,178,179,116,120,128,132,136,144,141,165,189,122,76,155,165,164,166,170,176,173,175,173,200,164,62,130,191,179,182,181,115,121,128,134,140,146,139,177,180,115,82,161,158,166,169,158,148,170,176,157,198,168,84,122,194,180,182,182,115,124,131,136,141,147,138,190,171,100,97,162,126,136,178,154,112,113,170,137,195,176,132,93,177,186,185,185,117,126,135,136,139,147,142,203,176,118,173,170,130,114,175,157,106,99,160,126,162,192,144,84,126,195,182,187,119,127,134,136,143,148,149,212,172,150,219,175,123,118,171,141,86,103,149,100,167,204,147,86,102,200,185,189,119,127,134,140,144,145,160,203,158,127,214,189,109,126,169,122,69,101,134,92,198,197,149,81,119,201,186,190,121,128,135,137,143,144,163,195,174,141,191,180,88,143,164,107,71,75,122,92,200,183,137,71,126,203,188,192,121,130,137,139,148,143,173,199,189,180,191,175,115,139,178,127,66,77,119,131,191,157,119,66,141,203,190,193,122,129,137,140,145,145,198,189,182,161,177,191,141,155,199,141,65,102,148,175,182,142,105,66,158,201,191,194,120,129,137,143,143,156,198,152,148,136,148,161,113,153,149,100,136,179,180,152,157,140,104,63,162,202,192,194,123,130,137,143,141,179,196,155,139,126,104,101,94,99,139,181,200,179,171,137,121,124,101,58,168,202,192,196,123,132,137,143,139,208,195,167,148,119,103,98,105,167,226,225,189,171,155,120,99,100,83,69,196,198,196,198,123,133,139,142,155,223,194,173,146,121,106,83,147,228,225,216,189,157,135,105,87,91,61,117,208,194,198,198,125,134,141,137,179,229,190,172,149,134,114,122,210,220,218,203,172,142,119,94,77,82,57,174,204,197,199,200,126,134,145,132,197,230,189,170,159,149,139,185,214,212,204,189,157,128,108,84,74,71,64,191,205,197,200,203,127,134,145,134,214,227,191,180,173,164,185,209,219,198,179,169,142,116,98,77,74,62,86,205,200,200,201,202,129,135,144,136,223,229,194,181,168,172,206,218,212,181,164,154,129,107,87,74,72,52,147,208,200,204,203,202,129,137,146,137,213,232,203,185,170,173,202,210,187,167,152,141,118,95,79,72,56,105,203,199,201,202,203,204,127,135,145,137,204,233,206,192,173,168,188,191,179,165,142,134,111,87,76,61,88,195,201,201,202,203,204,204,128,137,145,140,190,220,186,181,168,169,177,186,184,168,145,132,109,83,61,63,178,205,200,202,202,204,204,205,128,137,146,141,178,199,187,178,181,182,165,173,176,157,136,123,98,68,45,146,204,197,201,202,203,203,205,206,129,138,146,143,174,206,199,190,194,184,161,162,171,153,126,112,88,45,91,199,197,201,202,203,205,205,205,205
22,208,209,210,211,211,211,212,213,212,213,214,214,213,213,213,213,212,213,214,213,211,211,210,212,192,110,71,71,209,211,212,213,213,214,216,215,215,216,217,217,216,216,216,216,216,216,216,216,213,213,211,214,197,99,78,86,211,213,214,215,216,217,217,217,218,218,219,218,219,218,218,218,219,219,218,217,217,216,215,213,218,140,79,98,213,215,217,217,217,218,219,220,220,220,221,221,218,220,223,220,220,221,219,222,219,218,217,215,219,176,86,90,215,217,218,219,219,221,222,222,223,222,223,222,229,202,208,226,222,225,213,193,224,220,220,218,217,218,106,79,217,219,220,220,223,223,223,224,225,225,224,222,241,194,182,234,223,230,220,154,223,222,223,220,218,199,125,59,218,220,222,223,224,225,224,225,226,226,226,224,241,192,174,236,225,228,207,151,221,225,224,221,232,163,146,119,219,221,223,225,224,224,227,227,227,228,229,226,247,209,166,234,227,229,211,156,217,228,225,228,224,151,177,186,221,224,225,226,227,226,228,228,229,230,230,226,249,233,163,231,229,231,219,164,219,230,224,236,206,157,179,208,222,224,226,228,229,228,230,230,231,230,231,228,243,253,167,225,233,229,212,168,224,232,228,247,199,163,214,207,223,225,227,227,228,230,230,230,231,231,231,230,239,255,170,208,238,226,211,165,222,233,233,246,182,177,235,183,224,225,227,229,230,230,231,230,231,232,232,231,237,255,204,178,239,229,223,171,220,233,241,232,159,191,238,198,225,226,229,229,231,232,232,232,232,234,234,233,234,255,230,162,226,226,222,173,223,237,245,218,149,211,235,223,227,228,230,231,231,232,232,234,235,234,234,237,232,251,223,181,188,180,217,191,231,245,242,194,159,233,230,229,227,229,230,231,231,231,232,234,235,235,236,236,238,255,233,213,208,132,174,206,221,220,221,167,189,240,230,230,226,226,227,230,230,231,232,233,233,234,236,233,252,243,251,212,220,183,152,157,179,183,180,150,225,235,231,230,225,226,229,231,231,232,233,233,232,234,235,235,251,210,234,209,187,224,208,150,132,164,150,155,239,231,231,229,226,227,230,231,232,232,234,233,234,236,235,245,255,227,215,210,136,199,219,193,143,132,133,165,240,229,230,230,224,227,229,230,230,231,233,233,235,237,234,250,249,210,177,209,137,122,200,217,194,138,115,180,242,231,231,230,230,233,235,235,234,235,236,236,237,240,234,248,251,205,178,183,156,108,170,239,228,189,120,197,241,231,231,230,201,204,208,212,214,218,222,224,227,231,229,241,255,216,183,157,169,179,225,229,242,215,157,166,247,241,240,237,133,134,135,138,138,139,142,143,145,151,142,205,255,240,181,164,193,238,254,240,234,212,178,144,193,191,192,200,137,138,139,139,137,137,137,137,137,141,126,196,255,255,183,171,189,244,255,248,226,199,158,129,133,155,184,212,139,137,137,138,140,140,140,141,141,143,135,195,255,255,186,186,184,246,255,247,221,194,138,168,234,239,246,251,137,137,136,136,138,139,139,141,141,143,135,174,255,255,200,204,179,240,255,235,212,182,130,195,245,231,232,243,136,137,137,136,137,138,138,140,141,141,137,150,249,255,217,204,183,227,254,216,194,160,130,189,212,228,230,232,135,136,137,137,138,137,137,140,140,139,141,136,227,254,224,195,177,203,238,198,168,139,135,211,176,188,214,229,135,136,137,137,141,138,137,139,140,141,141,134,218,239,206,183,165,168,213,181,150,127,150,228,172,173,205,225
5,102,108,115,122,129,135,140,144,145,150,154,157,159,163,165,165,178,155,158,178,177,178,179,179,179,180,181,180,103,109,116,123,129,136,142,144,147,152,153,160,163,164,167,167,198,135,130,183,177,180,180,180,181,182,183,182,104,110,117,125,131,139,143,147,150,151,162,155,162,168,165,184,189,102,146,185,178,181,182,183,184,184,184,184,105,112,119,126,134,138,144,149,151,153,196,127,141,177,164,206,151,91,171,184,180,183,185,185,184,184,185,185,108,114,119,128,135,138,148,151,148,169,188,105,148,175,180,212,121,113,188,182,184,187,187,186,186,187,187,187,108,115,121,127,143,159,130,155,144,194,153,95,168,169,210,179,105,148,192,185,187,187,188,188,188,189,190,189,109,116,122,123,159,173,103,153,151,209,137,112,172,188,203,124,108,181,187,186,186,188,187,192,191,191,191,191,110,115,123,124,164,191,102,150,165,184,115,135,175,208,180,103,131,194,183,189,211,196,149,185,194,192,193,192,111,116,124,128,159,227,121,133,179,165,109,154,183,215,170,114,162,192,197,210,202,213,152,172,199,193,195,194,111,116,125,134,143,234,190,146,169,174,134,151,199,200,147,120,179,198,224,180,165,214,125,181,199,196,196,196,112,117,126,136,133,217,244,213,172,159,139,141,188,170,132,143,200,214,177,118,163,206,106,175,204,198,198,198,114,118,128,137,140,162,232,241,201,149,124,119,136,133,138,178,208,201,152,101,185,201,108,143,210,198,200,200,112,118,129,137,147,145,177,247,205,159,119,107,109,112,135,184,172,158,122,132,206,183,121,115,205,201,202,202,113,119,130,138,147,155,149,237,217,167,138,112,108,107,124,154,153,122,106,187,214,198,134,117,203,203,204,203,114,121,131,139,148,154,149,234,229,179,158,124,104,105,113,133,135,97,158,206,213,205,143,127,208,205,205,205,115,123,132,141,150,155,153,240,238,194,173,135,105,105,110,133,151,157,186,185,212,203,138,131,211,206,206,207,115,122,133,143,149,157,152,236,242,207,177,133,104,100,117,156,184,193,189,161,168,199,133,141,215,206,207,208,115,123,134,143,149,158,152,230,249,209,178,141,110,97,134,182,190,187,180,153,134,149,117,149,217,207,209,210,116,125,136,146,150,159,150,214,248,208,187,154,119,120,148,178,182,175,164,139,119,118,102,166,216,207,211,211,116,126,137,146,152,159,151,198,245,213,191,161,124,124,161,168,170,152,147,128,115,105,146,207,211,212,213,213,116,127,137,145,153,161,152,200,252,216,178,149,125,110,143,149,149,131,128,118,107,157,212,211,213,213,213,214,117,127,138,146,153,163,150,205,247,196,157,131,118,113,127,136,132,119,113,109,172,216,209,211,214,214,214,214,116,128,139,147,154,164,150,213,238,188,154,124,124,127,120,128,118,109,104,172,217,209,212,213,214,215,215,214,117,129,140,148,157,157,175,220,226,199,164,126,133,137,116,115,108,99,168,216,209,213,215,215,216,215,216,215,118,129,140,150,152,178,239,237,208,178,156,134,134,128,108,105,87,149,216,208,212,215,215,216,216,216,216,217,119,128,140,146,164,228,240,241,226,200,144,124,123,118,106,98,96,201,212,209,214,216,217,216,216,218,217,218,118,128,139,145,217,232,234,223,213,210,191,154,119,105,97,85,114,215,207,210,213,215,217,217,218,218,218,218,118,130,132,185,236,225,225,209,205,190,191,183,142,112,106,95,95,183,209,209,212,214,215,216,217,217,217,218
10,78,123,110,34,67,95,97,104,111,121,137,144,151,158,162,166,168,169,172,176,179,182,183,185,187,189,190,191,85,129,101,32,74,96,99,106,112,120,138,145,152,158,162,167,169,170,176,177,181,182,184,186,188,190,191,192,97,132,91,32,81,96,100,106,113,124,139,147,155,161,165,166,176,172,162,181,182,183,185,187,190,191,193,195,111,133,81,34,86,96,102,107,113,128,142,148,156,162,168,164,196,172,130,182,182,184,187,188,190,191,194,196,120,133,69,41,90,96,103,109,115,130,144,150,157,163,168,166,199,182,127,177,185,185,189,190,192,194,196,197,123,135,58,48,93,98,104,111,117,132,144,152,158,164,169,167,196,188,122,167,189,186,190,191,193,195,197,197,129,135,48,54,94,97,104,110,118,135,146,153,159,164,169,171,189,196,135,149,194,187,190,192,196,196,198,199,134,130,40,63,95,98,105,112,120,136,150,156,161,166,172,171,182,198,147,128,195,189,191,194,197,198,199,201,140,123,34,71,96,99,104,112,118,165,150,122,160,166,170,174,179,190,158,114,181,193,193,195,198,199,200,202,145,114,32,76,97,98,114,118,125,180,142,104,133,172,170,175,177,201,177,110,160,198,193,196,199,200,202,203,150,103,33,84,92,116,180,120,110,160,160,121,103,165,173,177,174,218,195,119,138,200,192,198,199,200,203,204,152,89,35,89,95,116,151,104,88,123,179,148,100,141,184,175,176,214,183,131,122,200,194,198,201,203,203,205,152,76,39,92,98,102,114,113,96,107,176,149,111,98,149,179,183,199,174,138,111,193,197,198,203,204,205,206,153,64,46,98,98,105,111,118,119,109,171,154,114,95,91,134,182,178,168,149,106,182,202,199,203,206,207,208,151,53,55,101,100,106,112,119,133,139,192,178,133,102,90,88,124,143,158,149,108,174,203,200,204,206,208,209,145,44,61,99,100,106,114,118,130,173,212,190,155,112,93,78,92,111,139,143,104,163,207,201,204,206,208,209,138,37,68,101,101,107,112,120,194,204,199,198,171,133,104,92,96,118,127,132,98,144,209,202,205,208,209,209,128,34,76,103,102,109,108,138,222,208,199,197,187,158,118,100,100,109,121,121,93,139,211,201,206,209,209,210,115,34,83,103,102,108,110,134,226,208,200,206,188,163,118,97,91,99,113,109,87,168,210,202,207,209,210,212,102,33,87,102,103,109,114,122,191,152,206,213,180,154,114,99,93,104,115,102,110,202,204,207,208,209,211,212,86,35,92,103,104,110,115,120,152,130,227,198,169,152,122,106,97,104,112,94,154,209,202,207,208,209,211,212,71,41,97,102,104,110,118,116,184,203,224,200,166,147,127,110,103,102,105,100,191,205,205,206,208,209,212,213,58,46,99,101,104,111,116,125,217,223,222,190,169,134,127,113,106,101,92,134,207,203,207,208,209,210,212,214,48,54,100,101,103,111,111,141,234,221,211,178,164,126,120,116,109,97,93,184,205,204,207,209,210,211,214,215,39,59,102,101,104,111,112,139,232,223,200,167,152,123,114,113,111,89,129,206,201,205,207,209,210,212,214,215,33,65,104,101,105,113,112,142,237,214,195,160,145,122,113,109,105,82,165,207,203,205,206,208,210,213,214,215,33,72,105,102,105,113,113,147,224,199,198,169,155,130,110,103,93,90,185,202,203,205,206,209,212,214,215,216,34,76,104,102,106,113,117,135,193,196,204,191,167,135,108,97,82,105,198,200,203,207,208,210,212,214,215,216
10,45,55,65,80,101,109,116,121,123,125,126,127,129,129,129,130,132,130,130,128,127,126,125,123,121,120,117,115,46,56,66,82,102,111,117,121,124,126,127,129,130,131,131,131,132,131,130,129,128,129,125,124,123,121,118,116,48,57,67,84,103,113,119,122,125,128,129,131,132,132,134,134,134,133,131,131,131,119,125,127,124,122,121,117,49,58,69,85,105,114,121,124,127,129,131,132,134,134,136,136,136,136,135,133,139,88,89,134,124,124,122,120,52,59,70,87,106,115,122,126,128,130,133,135,136,137,137,137,138,138,137,135,143,91,72,135,127,127,123,122,53,61,71,89,108,117,124,128,129,132,135,137,137,138,141,141,140,140,139,138,143,88,68,135,129,129,128,125,54,62,73,91,110,118,125,130,131,133,137,139,140,141,143,144,143,142,142,141,149,93,69,139,133,132,130,128,55,64,74,93,111,119,126,131,132,135,138,141,142,143,144,144,144,144,143,145,132,92,70,141,136,135,132,130,56,65,75,94,112,121,127,132,134,136,141,143,144,144,146,146,147,148,149,153,75,68,68,142,138,136,135,132,57,65,75,96,113,121,128,133,135,138,143,144,144,147,148,147,148,144,134,130,68,44,73,146,138,138,135,133,58,66,76,96,113,123,130,134,136,140,143,145,146,149,150,154,155,143,115,68,57,30,80,152,140,140,138,136,59,67,77,97,113,124,130,135,138,141,144,147,148,150,147,128,141,138,94,42,36,43,61,150,142,142,139,136,61,68,78,99,114,125,131,136,138,142,146,149,151,157,142,99,72,52,34,39,59,45,40,145,144,143,141,137,62,69,79,100,115,125,132,137,139,143,147,150,141,134,154,126,70,8,11,34,111,66,37,139,147,144,142,139,62,70,80,101,115,126,133,138,140,143,147,154,136,98,108,141,92,27,19,34,124,95,39,133,151,144,143,141,62,71,80,101,114,126,133,138,141,145,148,154,150,135,91,124,99,47,11,50,125,104,38,117,156,145,144,142,63,71,80,102,116,127,134,140,141,146,150,153,121,130,88,85,101,54,19,92,125,100,35,100,159,145,145,144,63,72,82,103,117,127,134,141,142,146,149,159,126,89,81,56,110,100,55,123,114,76,33,108,158,146,146,143,63,71,84,104,117,127,134,140,143,147,150,155,137,98,76,74,103,113,64,121,103,58,30,126,157,148,147,144,64,72,83,105,117,127,135,141,143,148,151,155,159,125,86,72,74,106,99,118,92,55,26,136,158,149,148,146,64,72,84,106,118,127,135,141,143,148,151,153,160,140,110,86,83,146,145,110,83,50,32,148,156,151,148,146,64,73,85,106,117,128,136,141,144,149,152,154,145,136,120,105,95,140,135,98,74,41,43,159,155,153,150,148,64,72,85,106,117,128,136,142,144,148,152,157,141,135,125,114,98,132,127,88,64,26,63,167,154,154,151,149,63,70,84,105,117,127,136,141,144,148,151,155,153,133,128,112,92,111,108,75,53,15,103,166,153,152,150,148,61,69,82,103,115,126,135,140,142,146,150,152,157,143,123,105,89,92,99,76,46,31,146,158,153,151,149,146,61,68,81,102,114,126,134,140,142,147,150,153,156,156,129,106,102,94,102,84,36,64,165,153,152,149,148,146,61,67,81,101,112,125,133,139,142,146,149,153,156,154,139,123,118,101,99,75,31,91,166,153,151,149,147,146,58,65,80,100,111,123,132,137,140,144,148,151,154,146,149,133,120,100,82,65,28,98,165,151,151,149,146,145
5,110,113,116,119,122,125,127,129,130,132,133,133,134,134,133,133,133,134,133,132,133,132,130,129,128,128,128,127,111,115,118,121,125,127,129,131,132,133,134,135,135,135,135,135,134,134,134,135,133,134,132,131,131,130,129,129,112,117,121,124,127,128,130,133,133,135,136,136,138,137,138,137,135,144,92,121,139,135,135,134,133,133,130,129,114,119,123,125,127,129,131,134,135,135,144,127,97,143,139,137,147,135,69,117,142,137,136,135,135,134,132,130,117,121,124,127,129,131,133,135,138,135,152,119,72,143,141,141,155,94,83,144,139,139,138,137,136,135,134,134,117,122,125,128,132,132,137,139,140,136,164,95,90,151,140,153,130,63,120,147,140,141,140,140,139,138,136,136,119,123,127,130,131,142,113,132,142,146,165,69,115,152,146,151,94,83,149,144,142,142,142,142,141,139,139,139,121,124,128,132,132,152,98,101,146,158,151,64,135,150,148,122,71,128,152,146,145,144,145,144,143,142,141,142,122,126,129,133,134,150,123,80,149,161,116,74,146,145,140,78,92,155,148,148,147,146,147,147,145,144,143,143,123,127,131,134,135,145,142,73,143,150,79,88,153,134,129,67,124,157,149,149,149,149,149,147,147,147,147,145,124,128,132,136,139,141,160,96,118,150,87,91,145,126,114,74,141,156,151,154,153,152,149,149,148,148,148,148,126,130,134,138,141,140,160,127,87,145,97,82,109,115,89,86,157,154,151,138,142,152,155,150,149,149,149,149,126,131,135,138,142,143,153,155,107,97,98,82,90,107,75,100,160,145,145,148,140,132,133,154,151,151,150,149,128,132,137,141,144,146,147,155,143,101,90,94,90,94,74,94,129,141,132,133,142,144,109,132,158,152,152,151,129,134,138,142,144,147,149,149,163,144,105,91,79,79,71,91,101,108,93,82,114,125,131,97,134,157,153,153,130,133,137,141,144,148,152,149,174,174,122,89,76,72,69,85,91,73,97,141,161,153,134,130,100,154,155,154,131,135,140,143,147,148,152,151,164,187,135,88,73,71,70,79,77,96,163,162,160,153,144,108,122,162,155,156,131,136,141,144,147,148,153,153,156,188,134,91,75,70,67,81,65,120,173,158,160,139,123,82,143,162,157,159,132,137,141,145,148,150,154,153,153,176,129,94,77,67,66,82,83,93,137,166,154,135,104,76,145,163,158,158,134,138,142,146,148,151,154,154,152,179,131,96,82,69,68,79,89,102,102,108,135,135,90,96,160,161,160,159,133,138,142,146,148,151,155,154,155,178,130,105,90,71,66,82,94,108,117,94,122,122,88,133,166,161,161,160,134,139,143,147,149,153,156,154,156,170,132,112,92,74,65,88,107,114,119,99,98,107,101,163,162,162,162,161,135,140,144,148,151,153,157,154,154,169,135,113,91,76,66,91,109,112,109,93,85,87,135,169,162,163,161,161,135,140,145,148,152,153,157,156,157,164,131,110,93,81,73,87,102,101,99,87,91,136,167,165,165,164,163,163,137,141,146,149,152,154,157,154,168,166,126,107,98,82,79,88,99,98,91,90,151,171,165,165,165,165,165,164,137,142,146,150,153,154,158,152,174,174,138,113,94,83,80,86,91,86,87,136,171,165,166,165,165,165,165,164,137,142,146,149,153,154,159,154,172,165,135,101,81,84,85,86,88,98,147,170,166,168,167,167,166,166,165,164,138,142,146,149,153,155,159,159,171,162,138,101,80,84,84,83,99,159,175,167,168,168,167,167,166,166,166,165
7,186,187,187,190,191,191,191,191,192,192,192,192,192,193,193,192,192,192,193,192,191,190,189,187,186,185,184,183,187,189,190,191,191,193,193,194,194,193,193,193,193,193,194,195,194,193,194,194,193,191,191,189,186,186,187,185,188,190,192,193,194,195,194,194,195,196,195,196,197,197,196,196,195,196,196,195,195,193,192,191,190,188,187,186,190,192,193,194,195,196,197,196,196,197,198,198,198,198,198,197,196,197,198,197,195,195,193,192,192,190,189,187,192,193,195,195,196,198,198,197,198,198,198,199,199,198,199,199,198,198,198,198,197,197,195,194,194,192,191,190,193,195,196,197,198,199,198,199,200,199,199,201,200,200,200,200,200,199,199,199,198,197,197,197,195,193,192,190,195,196,196,198,200,200,200,200,201,201,200,202,201,202,202,201,201,201,201,200,200,199,198,197,197,195,194,193,196,198,198,200,201,202,202,202,204,206,204,203,204,204,204,203,203,203,203,202,202,201,198,198,199,198,195,194,197,198,199,200,201,203,206,208,199,182,195,201,201,200,202,204,205,203,202,202,200,199,204,200,198,197,197,196,197,198,200,204,207,209,211,214,207,178,162,180,192,190,192,192,190,192,193,194,191,201,215,189,202,198,198,197,201,206,209,212,212,209,207,205,204,179,151,163,177,184,184,179,176,179,176,182,176,176,166,186,202,199,199,198,213,214,213,209,205,199,191,191,198,183,155,146,154,169,178,185,184,177,178,180,172,173,177,179,200,196,199,200,212,209,204,199,196,192,191,196,205,193,158,148,148,144,149,152,154,155,163,167,166,168,177,171,178,176,201,200,208,201,192,188,186,187,190,198,194,176,157,151,159,161,155,137,140,181,178,176,170,169,171,173,174,193,204,202,207,197,188,184,185,184,180,188,195,177,148,133,146,162,164,159,142,195,217,211,211,211,209,208,209,207,203,203,208,200,194,189,190,189,186,187,199,187,157,144,149,148,147,147,140,200,212,209,210,209,208,207,206,207,205,206,202,200,198,193,191,189,189,192,199,187,162,160,167,157,158,133,174,220,211,212,211,211,210,209,209,208,209,194,195,197,198,197,193,187,185,187,181,172,159,157,163,160,151,152,216,214,212,214,212,212,211,211,210,213,174,132,165,186,200,195,187,183,177,169,156,144,132,110,118,145,135,181,222,213,213,214,213,212,212,211,215,200,130,133,88,111,150,178,169,155,156,159,177,191,137,102,117,134,155,212,215,214,214,213,212,211,211,213,210,163,125,122,72,67,74,86,137,195,204,215,218,224,205,147,165,183,210,218,216,215,215,212,212,217,213,210,160,121,114,97,68,68,65,67,197,221,216,215,214,215,217,217,218,221,217,217,216,216,215,218,219,185,150,134,117,108,99,88,63,63,55,84,218,213,214,216,217,217,216,216,214,215,216,217,218,215,218,199,155,124,124,116,109,98,89,83,64,64,54,76,217,214,214,216,216,216,216,217,217,216,218,217,216,225,202,131,97,99,114,106,101,101,94,81,70,67,45,73,223,218,219,219,220,221,221,222,222,222,221,222,223,199,146,126,100,82,95,100,94,96,98,84,70,56,41,62,184,189,190,193,195,197,199,199,201,202,202,206,195,126,102,128,97,76,78,92,88,90,98,91,58,45,44,67,129,127,128,130,131,134,136,137,138,139,137,147,146,109,95,122,94,71,75,82,84,85,93,95,48,48,46,84,139,132,132,134,133,132,132,134,133,130,134,143,133,101,90,115,90,70,72,78,80,81,87,93
0,176,176,179,179,179,179,180,180,180,180,179,180,180,179,179,179,179,178,177,176,178,177,175,174,174,174,173,173,178,179,179,181,181,181,181,181,180,180,179,182,181,181,182,180,179,179,181,179,178,180,178,174,174,177,176,175,180,182,183,183,184,185,184,183,182,184,183,182,182,183,183,186,182,181,182,183,180,174,166,180,176,177,176,177,184,186,186,184,185,186,186,186,185,184,186,186,185,185,166,147,173,179,154,140,176,181,109,175,179,178,178,178,185,186,185,185,186,187,188,188,187,187,175,155,177,200,171,126,100,163,150,123,104,159,123,126,190,178,178,178,185,186,186,187,188,188,188,188,188,205,181,133,141,202,171,152,97,156,159,148,97,86,167,106,144,182,182,180,185,188,187,189,189,188,192,165,156,211,185,160,143,198,172,160,94,162,163,143,108,53,146,146,107,115,184,180,186,188,188,190,187,196,209,182,130,176,205,165,132,206,181,154,81,170,161,120,115,33,91,166,141,73,157,188,188,189,190,192,188,206,208,196,170,128,209,171,118,200,186,148,78,138,146,98,98,22,104,179,158,91,138,193,189,191,191,191,197,198,195,205,178,105,183,181,111,170,186,133,77,80,114,88,77,24,145,184,161,94,128,196,189,190,191,189,198,182,142,172,148,88,139,164,103,119,148,103,83,44,74,96,65,51,160,178,154,90,118,196,189,190,192,191,195,199,153,159,122,68,106,134,91,76,112,88,65,32,113,159,135,129,151,163,146,84,113,198,190,193,195,194,199,211,178,165,124,84,90,114,91,56,89,107,104,153,184,170,160,147,127,133,138,90,102,198,193,196,196,194,206,206,174,149,130,101,63,123,123,42,96,180,197,199,184,167,152,138,119,108,119,97,95,195,194,195,197,192,213,223,200,178,150,114,85,117,115,123,190,209,201,189,178,162,146,130,109,98,102,87,111,197,196,196,198,195,215,226,207,183,159,152,151,147,170,204,209,201,194,181,172,157,138,118,99,93,97,79,162,197,197,197,200,195,220,232,210,185,167,161,160,176,192,199,205,200,184,179,163,145,132,109,93,99,81,135,199,192,197,198,201,199,222,237,217,199,185,174,176,189,198,202,203,189,180,175,151,136,120,101,97,84,102,199,195,195,197,198,200,196,219,237,225,207,190,179,177,191,203,201,193,177,168,163,142,124,108,99,93,77,171,201,194,195,198,199,201,199,213,236,233,218,193,177,171,177,184,179,180,163,147,147,125,111,106,95,76,149,203,195,197,197,200,201,202,202,204,229,226,212,194,176,168,175,177,181,178,159,138,135,113,104,95,87,149,201,196,198,199,197,201,202,203,203,201,214,213,196,182,163,167,174,169,179,171,154,143,129,110,89,90,169,204,199,198,199,199,198,201,203,204,204,204,209,196,192,187,175,189,179,153,173,169,147,131,119,96,73,168,208,198,199,199,199,200,200,202,204,205,204,205,209,205,212,203,192,190,181,144,161,168,141,121,108,68,123,212,199,203,202,201,201,201,199,203,204,204,204,204,211,224,221,209,182,180,176,137,158,154,133,116,94,68,178,209,201,204,203,201,202,202,201,203,204,205,205,204,202,233,221,206,172,175,171,143,150,139,130,114,80,83,201,205,204,204,202,202,203,203,202,203,204,205,205,205,198,226,213,196,167,176,179,140,131,136,124,111,76,96,212,203,206,205,204,203,204,203,202,203,204,204,205,204,201,224,203,188,166,177,175,128,138,134,120,108,74,99,212,204,205,205,205,204,204,204,202
1,127,132,134,137,142,149,151,151,153,154,157,159,160,163,163,163,164,164,170,167,167,168,167,167,166,165,167,168,132,136,139,142,146,151,154,158,158,159,161,161,164,162,167,167,177,171,141,173,172,170,169,168,167,167,168,169,137,141,144,147,152,155,159,162,164,166,167,167,167,184,146,155,200,177,92,172,177,176,172,172,171,171,170,171,142,146,149,153,157,160,163,167,169,170,173,170,177,210,116,137,206,157,94,174,153,165,180,176,177,176,175,176,146,150,153,158,163,166,169,172,174,175,176,175,191,204,106,149,207,141,100,188,145,114,189,180,181,180,178,177,150,155,159,164,168,171,176,178,179,179,189,164,176,197,105,157,208,131,111,204,147,101,190,184,184,184,183,181,155,160,164,168,173,177,181,185,186,185,212,147,134,176,113,165,215,140,128,210,139,101,193,189,189,188,187,185,160,166,167,172,178,182,187,190,191,193,220,128,133,161,124,165,203,133,132,216,139,103,198,194,193,192,191,189,164,169,172,177,183,185,191,193,195,200,207,114,139,141,113,141,195,123,145,222,146,110,204,199,198,196,196,193,168,173,177,181,187,191,193,200,200,204,214,126,141,149,113,142,214,129,164,214,140,118,212,205,203,200,199,198,171,176,181,185,192,195,197,204,202,210,212,124,130,169,128,143,215,128,178,220,140,125,216,207,207,206,205,204,175,180,184,190,195,198,202,206,205,217,224,143,119,156,110,132,186,110,194,222,145,138,222,208,210,211,210,208,179,184,187,193,199,202,204,210,209,219,235,148,105,136,110,139,161,135,203,203,134,152,226,212,215,214,211,211,182,187,190,195,202,206,208,213,211,221,231,155,141,186,171,184,190,174,159,189,126,164,228,215,219,217,216,215,184,189,194,199,204,208,212,217,214,230,243,190,154,153,203,221,232,186,113,148,111,174,231,221,221,221,219,217,187,191,196,201,205,209,214,220,216,241,229,169,136,97,129,164,187,213,161,87,83,195,233,223,224,224,222,219,189,194,199,205,209,211,217,222,219,247,222,166,122,108,114,130,185,242,211,119,74,216,232,227,226,225,225,224,191,196,202,208,211,215,219,224,222,252,231,165,130,134,140,182,205,234,239,162,88,214,237,230,230,228,227,228,194,199,204,208,213,219,223,225,227,254,225,162,129,142,149,222,236,214,213,167,94,187,245,231,232,231,230,230,197,202,206,211,217,220,224,226,230,252,224,173,139,156,173,248,245,211,169,133,85,187,247,233,234,233,232,230,198,203,209,214,219,222,225,229,230,248,227,177,157,149,192,255,240,192,153,108,81,209,245,235,237,236,235,234,200,206,210,214,221,223,227,231,232,243,223,178,164,147,192,254,221,175,139,92,116,245,239,240,240,236,237,238,202,207,211,216,220,223,229,234,234,237,222,188,179,153,180,239,201,159,121,79,168,255,238,241,241,240,239,239,204,208,214,218,222,227,230,233,235,233,218,193,187,158,176,230,187,146,106,84,215,250,242,243,243,242,241,241,206,209,215,219,224,227,232,234,237,238,226,195,187,148,167,213,171,135,91,109,247,245,245,245,245,245,244,244,205,210,216,222,225,228,231,237,235,240,232,197,178,133,156,178,141,122,79,160,255,247,248,246,246,245,246,244,204,209,215,220,225,227,230,236,228,245,235,219,177,138,159,160,132,104,101,233,251,248,248,246,247,247,245,245,204,209,214,219,225,231,232,232,229,246,236,222,185,152,160,147,125,82,179,255,246,249,248,246,247,247,245,245
1,50,53,67,84,96,103,105,111,117,120,122,125,128,131,132,137,136,136,137,137,138,139,139,139,141,141,140,141,50,55,69,86,98,105,108,114,120,123,127,129,131,141,142,106,140,142,142,140,142,142,142,142,144,143,142,142,52,57,73,90,102,107,111,118,125,129,130,132,137,154,159,75,123,117,132,149,145,145,146,146,145,145,144,144,54,59,76,93,104,109,115,122,128,132,137,150,101,152,161,73,117,120,88,157,149,150,151,150,150,148,147,146,54,62,80,95,106,111,117,126,132,134,145,169,83,137,161,68,117,140,69,145,158,155,155,153,153,153,151,150,54,64,84,98,109,113,120,128,135,139,147,174,89,126,167,79,119,147,70,129,165,157,158,158,157,157,156,155,56,67,87,101,113,117,124,132,138,140,152,179,96,113,159,83,122,160,84,118,171,160,162,161,161,161,159,158,56,69,89,105,115,119,125,134,142,149,118,172,104,94,142,85,121,156,88,114,176,164,165,165,165,164,164,162,57,72,93,108,118,122,129,136,154,158,86,161,108,76,150,93,113,165,98,114,180,167,169,170,170,168,166,166,58,75,95,111,119,123,133,139,164,150,80,165,117,66,139,88,111,174,108,114,183,172,174,174,172,172,170,170,59,77,97,113,122,125,136,141,168,148,73,157,134,70,111,107,112,156,112,110,186,175,177,176,175,174,173,173,60,78,99,115,123,128,138,143,176,159,70,128,154,120,123,129,110,102,90,107,189,177,179,178,178,178,176,175,61,81,101,117,126,130,141,146,178,163,72,107,122,126,131,97,103,132,86,109,194,179,182,182,182,181,180,179,63,84,105,120,129,133,144,150,175,167,113,125,70,110,91,76,147,168,146,106,170,190,182,184,184,183,182,183,64,87,108,124,131,135,146,152,184,171,128,105,71,96,65,110,160,165,169,118,88,180,188,187,186,186,186,184,65,89,109,125,133,138,149,157,192,171,123,89,76,102,105,162,181,168,150,98,64,116,198,187,189,189,189,188,67,91,112,127,134,140,152,160,198,180,126,85,89,111,125,179,189,176,138,92,61,100,199,189,190,190,190,189,69,93,114,130,137,142,155,161,199,191,137,87,99,123,145,178,187,173,136,96,52,119,204,191,194,192,190,194,72,96,116,132,138,145,157,162,196,196,156,97,106,131,150,189,189,165,127,94,51,138,206,191,195,202,206,191,74,99,119,134,140,147,159,164,193,200,173,111,113,134,147,192,185,161,117,88,48,154,203,202,199,168,112,58,78,102,122,137,142,150,161,166,187,196,183,124,127,126,144,184,180,155,107,82,50,169,211,147,76,37,19,24,80,104,124,139,143,151,162,169,179,187,188,139,141,120,146,173,175,144,101,72,58,192,124,35,15,20,22,16,82,105,126,140,143,151,162,170,172,180,187,154,144,127,132,171,158,133,90,66,73,107,30,37,27,3,20,23,83,107,128,140,143,151,161,168,171,174,180,160,149,139,117,153,146,120,86,68,50,19,12,33,39,0,3,27,84,109,130,142,144,153,164,170,176,170,176,167,155,150,120,127,145,112,85,64,36,30,11,8,39,15,0,14,86,110,132,144,146,156,165,172,179,172,178,175,163,151,117,112,133,108,80,55,39,29,18,0,20,31,0,0,84,110,133,145,148,158,166,173,178,176,180,165,147,140,119,113,112,98,70,48,44,19,18,0,2,31,7,0,96,113,129,138,144,152,159,168,175,171,179,172,144,147,138,113,99,93,66,45,39,29,10,2,0,18,20,0
22,173,177,181,185,188,192,196,201,202,207,211,210,210,213,214,216,217,217,215,216,216,217,219,219,219,217,219,218,177,182,185,189,192,196,202,204,207,210,213,213,220,218,219,220,219,225,221,221,222,221,223,223,222,223,222,222,180,186,188,192,196,200,204,207,211,213,217,218,178,217,223,225,219,180,225,223,218,227,227,229,227,227,226,224,182,188,192,195,199,202,206,212,215,216,224,212,128,204,232,231,232,125,213,238,184,180,238,229,230,230,231,230,185,190,194,198,202,206,210,215,219,218,234,203,112,209,232,243,228,132,218,250,184,140,243,232,233,233,233,233,188,193,197,202,205,210,214,219,221,221,240,200,106,212,233,253,224,141,226,249,183,137,241,235,236,237,237,237,191,196,201,205,208,213,217,220,225,224,242,213,112,212,239,253,209,146,233,253,192,145,243,240,239,239,240,240,194,199,202,207,211,216,220,224,231,226,245,230,114,203,245,250,190,143,238,251,189,152,248,242,243,242,242,241,196,202,205,210,215,219,224,228,233,229,252,232,113,200,251,236,172,146,242,251,187,153,253,245,246,246,246,245,198,204,207,212,218,220,225,230,235,232,253,246,126,190,255,212,164,145,249,253,188,160,255,246,247,247,248,248,199,205,210,213,218,222,226,230,236,236,248,255,185,164,172,194,179,148,255,255,179,170,255,246,249,250,250,250,201,207,212,217,220,224,229,233,237,239,247,247,215,181,154,159,173,167,255,252,167,185,255,249,252,253,254,253,204,208,214,218,221,227,230,236,240,238,255,255,237,228,228,204,139,178,255,243,156,202,255,253,254,254,255,255,205,211,216,219,224,228,232,238,241,246,249,233,239,182,246,225,152,123,211,205,141,224,255,254,255,255,255,255,208,214,218,222,228,230,235,240,242,250,241,207,222,112,158,235,193,123,124,153,121,237,255,255,255,255,255,255,209,215,219,224,229,231,235,242,243,255,255,206,206,150,68,193,238,174,113,109,124,255,255,255,255,255,255,255,210,216,221,224,229,235,239,242,244,255,249,191,182,162,95,128,255,217,150,103,127,255,255,255,255,255,255,255,211,217,221,226,229,234,240,245,244,255,255,202,150,130,116,203,255,229,177,130,128,255,255,255,255,255,255,255,212,218,222,226,231,235,238,244,246,255,253,193,153,160,165,255,255,209,174,134,127,255,255,255,255,255,255,255,214,220,224,227,232,237,241,246,249,255,245,195,185,163,213,255,242,196,151,113,150,255,255,255,255,255,255,255,215,221,225,230,235,239,243,248,249,255,241,192,190,159,238,255,220,180,144,103,181,255,255,255,255,255,255,255,215,220,226,231,234,239,244,247,249,255,239,191,202,171,253,255,207,166,135,104,191,255,255,255,255,255,255,255,214,220,226,229,233,239,244,248,250,252,239,200,220,176,244,253,199,159,129,98,208,255,255,255,255,255,255,255,214,221,226,230,234,238,244,248,253,247,238,208,222,179,232,229,184,151,123,99,229,255,255,255,255,255,255,255,217,222,226,231,236,239,244,248,252,252,245,213,208,169,209,207,164,149,120,111,250,255,255,255,255,255,255,255,217,222,227,232,237,240,244,250,251,251,246,207,176,155,200,180,159,153,113,155,255,255,255,255,255,255,255,255,216,222,227,232,236,241,245,250,247,253,249,212,183,178,208,163,173,138,104,233,255,255,255,255,255,255,255,255,216,221,227,231,236,240,245,250,242,255,255,226,209,188,204,157,176,107,161,255,255,255,255,255,255,255,255,255
12,48,52,58,65,79,93,100,106,112,117,118,121,124,126,129,132,136,138,139,140,141,144,145,145,146,145,146,147,49,54,60,65,81,95,101,108,114,118,119,122,125,128,131,133,136,139,141,140,143,145,145,146,147,147,148,148,50,54,61,67,82,95,103,111,115,118,120,124,127,129,133,139,137,141,135,144,145,147,147,147,148,151,151,151,51,56,63,69,85,96,104,111,115,118,123,125,126,143,109,108,148,152,97,92,151,144,151,152,150,153,152,153,52,56,63,71,88,98,105,111,116,121,126,120,151,165,119,81,126,156,110,64,98,108,91,145,155,153,153,153,52,57,65,72,88,101,107,113,118,123,128,120,176,175,132,97,105,158,125,92,61,106,70,91,159,154,155,156,52,59,66,74,91,102,108,114,119,124,128,128,179,194,152,102,102,164,124,93,54,97,95,55,139,161,155,156,53,61,67,77,94,103,109,116,121,126,122,139,163,176,167,103,91,171,126,86,49,95,88,56,143,161,158,158,56,61,68,78,94,103,111,117,121,117,130,146,150,137,142,92,68,138,114,74,50,99,80,66,155,162,160,160,55,61,69,80,96,103,110,117,120,167,187,119,73,79,120,74,52,105,82,60,55,92,69,84,168,160,161,161,57,63,68,82,98,104,113,110,149,207,156,102,79,49,104,87,49,90,85,61,56,85,63,95,170,160,162,162,57,63,70,84,97,104,115,114,175,148,137,113,94,52,84,120,52,89,122,73,68,120,80,104,174,161,164,164,58,64,71,85,99,106,111,124,176,126,117,128,98,71,30,59,25,53,96,64,74,128,92,50,128,172,163,165,58,64,72,87,100,107,108,134,175,132,101,119,91,78,25,11,44,79,79,78,108,94,68,56,76,170,165,166,59,66,72,88,101,107,109,137,190,145,112,90,78,62,20,35,93,135,140,132,123,96,90,75,88,172,166,167,61,66,74,92,101,110,110,143,190,146,126,88,61,63,48,81,136,158,154,139,119,92,84,65,122,175,166,168,61,67,75,93,103,110,110,148,186,153,131,96,81,105,98,140,166,165,156,130,105,90,71,65,154,170,168,169,62,68,76,94,101,111,113,141,177,147,125,99,100,105,104,162,162,163,153,117,96,86,63,93,174,167,169,169,61,68,77,95,101,111,116,132,172,142,123,106,102,94,115,152,153,160,137,106,89,79,62,140,174,167,170,169,62,68,79,96,102,111,119,126,167,140,128,121,107,107,134,149,154,145,120,99,83,67,82,170,170,169,170,171,64,68,80,97,105,114,119,121,154,146,137,134,119,112,133,142,141,121,99,86,78,61,122,176,169,171,172,173,64,69,82,98,105,113,120,120,143,155,136,127,113,99,106,124,122,104,85,78,70,80,165,170,170,171,174,173,65,69,83,97,103,113,119,124,136,164,130,120,105,92,93,102,96,89,77,78,62,129,175,169,172,173,173,173,65,69,85,99,104,114,119,125,130,168,146,118,95,88,98,94,95,89,76,68,85,170,167,171,173,174,173,174,65,70,86,99,105,115,120,127,129,167,162,125,109,108,112,93,96,90,74,55,125,176,168,173,174,174,175,175,66,72,87,99,106,114,122,124,142,182,174,134,124,116,113,90,86,77,68,45,136,176,170,172,174,175,176,176,65,71,88,100,107,117,118,145,175,161,193,143,133,116,108,89,76,67,65,43,139,177,169,174,174,174,176,176,66,72,89,100,108,117,121,179,189,139,161,143,132,112,103,84,66,67,63,46,148,175,171,174,175,175,176,176
8,192,192,193,193,193,192,194,192,192,191,193,170,175,192,189,188,188,188,186,185,184,184,183,182,181,180,178,177,192,192,193,194,194,194,194,193,193,193,197,152,144,197,189,190,190,190,187,186,185,185,184,183,181,181,180,177,193,194,195,195,195,195,195,197,193,200,193,131,141,198,190,192,192,191,189,188,187,186,185,185,183,181,180,178,194,195,196,198,197,196,198,198,194,205,187,116,158,200,191,192,192,191,191,190,188,187,187,186,185,182,181,180,196,197,197,199,200,198,198,199,195,213,186,122,170,200,193,194,193,192,191,190,189,189,188,187,186,184,182,182,197,198,198,199,200,199,199,199,197,217,170,120,178,200,194,197,195,192,191,191,190,190,189,188,186,185,184,183,198,199,200,198,199,200,200,200,200,214,163,124,184,201,194,163,185,201,195,191,190,191,190,189,187,186,186,183,199,200,201,200,200,200,202,199,205,215,174,155,183,203,204,160,142,172,184,197,191,192,190,189,188,188,187,183,200,200,201,201,201,202,202,198,208,209,185,171,188,196,205,195,159,139,131,151,198,186,195,191,188,187,186,185,201,201,201,202,202,203,204,200,208,205,194,178,205,198,187,208,188,186,155,104,141,140,138,189,192,188,188,186,201,202,202,203,203,204,205,201,219,195,185,194,206,194,161,177,192,178,159,110,83,100,86,140,199,189,190,187,203,203,204,204,205,206,205,208,206,180,187,181,195,179,151,112,183,189,162,119,84,91,91,110,198,190,190,188,203,204,205,206,206,207,204,219,196,166,163,168,193,160,135,80,147,210,167,125,87,105,89,131,200,189,189,189,204,205,206,206,207,205,211,227,205,179,142,146,182,145,113,94,149,217,173,130,86,87,93,184,196,191,191,190,205,205,206,208,208,205,226,224,201,176,153,144,186,177,174,199,187,192,167,133,92,72,163,200,192,192,191,190,205,207,207,208,208,209,232,214,197,180,167,142,159,216,212,194,193,161,154,138,90,140,206,195,194,194,193,191,206,208,207,208,208,217,230,208,199,178,149,149,197,217,196,174,196,147,141,134,88,185,202,197,195,194,194,193,206,208,209,209,207,225,228,207,201,171,152,193,221,206,189,167,182,145,122,109,102,203,199,198,198,195,193,193,208,209,210,211,210,226,226,212,201,168,184,210,215,197,183,160,163,142,110,84,146,212,198,200,198,196,195,194,209,209,211,208,207,231,222,211,193,173,183,204,196,184,168,151,153,122,96,82,189,206,201,200,199,198,197,195,210,208,221,161,106,191,216,195,177,170,177,187,186,172,157,149,132,105,76,119,211,201,203,200,200,198,196,194,208,214,194,106,94,96,158,187,172,171,170,181,184,162,146,127,104,90,78,184,207,203,203,200,200,199,198,195,209,219,132,92,99,95,91,141,176,180,165,178,173,144,125,105,97,72,146,214,203,205,203,200,200,199,198,197,221,170,96,98,92,93,92,67,96,118,133,165,154,115,101,96,73,122,212,205,206,205,203,201,201,200,198,196,196,107,95,95,91,87,96,73,61,73,74,94,104,93,84,70,134,210,207,205,205,205,203,203,200,199,199,196,121,94,96,92,87,85,94,78,52,73,70,61,60,66,56,152,225,205,205,204,204,205,203,201,200,198,198,196,93,89,87,89,86,80,92,73,46,67,67,60,60,56,52,98,178,211,205,206,205,205,203,201,200,199,197,194,97,86,69,112,100,72,91,58,48,63,62,56,56,57,58,38,121,219,205,206,206,205,204,202,200,200,198,195
22,175,176,176,176,176,177,177,176,176,177,178,177,176,175,174,173,172,172,170,169,168,167,165,164,162,160,158,156,178,178,179,179,179,180,180,179,179,179,178,179,178,177,176,175,175,174,172,171,171,170,168,166,164,162,160,159,181,181,182,182,183,183,182,182,182,178,162,171,181,180,171,162,173,177,175,175,173,172,170,168,165,164,163,162,184,184,185,185,185,186,186,185,184,175,146,150,181,183,171,139,162,179,179,178,177,175,173,169,150,152,165,164,186,187,188,188,188,188,188,188,186,177,149,134,176,185,175,132,149,180,181,180,179,177,176,170,132,132,165,167,189,189,191,191,190,190,191,190,189,183,157,124,167,187,177,130,137,180,184,182,181,179,179,165,121,132,168,170,191,192,193,194,193,193,194,193,193,186,162,121,156,189,180,133,131,179,186,185,183,182,181,154,115,143,172,172,194,195,195,195,195,196,196,195,195,191,172,131,144,189,185,137,126,178,188,188,185,185,181,142,115,158,175,174,197,196,196,197,198,198,198,197,197,195,182,143,132,185,185,132,119,176,190,189,187,188,174,131,126,171,178,176,199,199,199,199,200,199,199,199,200,199,188,150,120,175,185,131,117,175,192,191,189,184,157,117,143,179,180,179,200,200,201,201,201,201,200,201,201,200,191,161,121,155,184,138,119,174,195,193,190,177,139,114,164,183,181,180,202,202,202,202,202,202,202,202,202,201,191,171,138,135,173,141,120,171,196,196,192,173,128,131,180,186,184,182,204,204,203,203,203,203,203,204,203,203,196,180,159,145,165,146,131,157,184,193,187,159,121,156,188,188,186,185,206,206,206,205,205,205,205,205,205,206,203,189,181,179,177,166,158,132,135,165,168,135,124,176,191,189,187,186,207,207,207,207,207,207,207,207,207,208,206,197,186,170,154,156,161,127,102,111,123,108,140,189,193,190,189,187,208,208,208,208,208,208,208,209,209,209,208,203,187,145,101,113,146,136,113,105,101,92,156,195,195,193,190,189,209,209,209,209,209,209,210,210,210,210,209,203,181,135,91,80,112,128,122,117,104,87,158,197,197,195,193,191,210,211,211,211,211,211,211,212,212,211,209,201,182,149,108,76,78,89,108,120,102,80,136,195,198,196,194,192,212,212,213,213,213,213,213,214,214,213,210,199,184,155,111,80,79,90,119,144,124,90,106,179,198,197,195,194,213,214,214,214,214,215,215,215,216,215,211,198,184,153,113,88,90,119,162,177,155,113,86,148,196,198,196,195,213,213,214,214,214,215,215,215,216,215,211,199,186,161,124,95,100,145,188,197,175,134,85,128,194,198,196,195,214,214,214,214,214,215,215,215,215,215,211,198,186,168,132,99,110,162,197,195,171,128,84,134,194,197,196,194,215,215,215,215,215,216,216,216,216,216,212,194,184,175,138,105,119,174,197,182,152,112,82,152,196,197,195,194,216,216,216,216,216,217,217,218,217,217,212,192,180,172,139,107,120,177,188,166,133,100,91,170,199,198,196,191,216,217,217,217,217,217,218,218,218,218,214,192,175,167,139,106,114,167,176,156,120,88,103,183,200,193,175,144,207,209,210,211,212,213,215,215,215,216,214,196,175,165,139,110,113,160,169,144,104,77,121,186,177,142,102,69,152,155,158,162,165,167,170,172,174,178,180,177,172,162,139,117,111,148,156,126,87,70,118,135,99,68,54,44,111,112,113,115,115,115,116,116,117,119,121,135,166,162,139,119,105,128,132,102,70,57,74,69,48,44,47,39
13,156,158,163,168,173,176,178,180,183,185,188,190,191,194,194,196,198,198,197,198,199,200,199,199,200,199,198,198,157,160,165,170,175,178,180,182,184,186,189,191,193,196,197,195,196,198,203,200,200,200,200,201,201,200,200,200,158,161,166,172,175,179,181,184,186,188,191,193,195,195,200,209,210,178,167,202,200,206,202,203,203,202,201,201,160,163,168,174,177,181,183,186,189,190,193,195,198,200,203,229,219,173,127,132,159,172,204,203,203,202,203,202,161,165,169,174,178,181,184,187,190,193,193,197,200,170,168,183,215,171,124,108,161,129,148,212,203,204,204,203,162,165,170,174,179,182,184,188,190,193,193,224,215,181,148,147,202,201,142,117,169,127,127,212,204,205,205,204,164,167,172,176,181,184,187,188,193,195,156,191,232,210,175,114,153,220,150,115,176,129,141,215,205,207,205,205,164,167,172,177,182,186,188,186,217,208,163,119,198,229,190,132,94,172,148,114,201,138,162,217,206,208,208,207,165,169,174,179,183,187,186,211,220,219,194,133,129,230,184,138,79,94,106,109,191,135,195,213,208,209,209,209,165,170,176,181,184,186,200,212,180,217,205,152,96,199,176,129,82,79,109,141,157,120,164,219,208,210,210,210,166,171,179,182,185,188,223,212,170,194,186,142,92,170,177,137,80,101,160,169,150,138,125,205,214,211,212,210,169,174,181,186,185,199,220,195,162,181,165,127,79,149,198,149,93,175,195,173,137,125,124,161,221,210,211,211,170,176,183,188,187,213,216,191,156,160,157,126,71,117,199,131,143,213,190,167,139,125,116,144,224,212,213,213,171,177,185,190,187,218,227,204,175,137,147,118,78,112,194,173,205,202,180,156,135,120,101,177,221,213,216,215,172,180,188,193,190,224,229,206,182,142,126,124,150,194,218,221,213,191,168,146,132,109,115,215,216,215,217,216,177,184,190,196,195,230,236,213,181,166,166,170,186,208,217,213,205,182,159,142,124,96,155,227,214,217,217,217,179,187,192,198,199,232,233,223,189,184,181,166,199,202,217,210,194,173,155,135,117,91,188,225,216,218,218,217,182,189,195,200,203,225,230,229,203,194,185,174,208,209,208,200,179,161,142,129,102,115,224,220,220,220,219,218,184,191,199,203,204,215,231,228,212,198,184,180,200,214,198,183,165,150,139,119,96,196,228,220,221,221,222,221,186,193,201,205,206,209,227,221,217,203,192,184,190,207,194,172,156,141,134,102,177,234,221,223,223,223,222,221,189,196,202,205,210,207,220,223,218,213,207,190,185,200,188,163,142,137,112,149,235,224,226,226,225,223,227,230,190,198,205,208,213,207,214,227,218,215,208,187,180,188,178,151,130,126,119,220,230,227,228,227,226,231,211,164,192,201,207,211,214,210,214,218,194,197,198,184,176,180,165,147,131,108,178,238,228,229,227,229,233,171,98,81,194,202,208,211,215,212,215,221,192,203,206,198,177,174,160,150,126,113,217,231,231,230,237,237,159,91,81,72,195,202,207,210,214,212,211,232,203,213,213,200,176,166,159,152,123,123,228,231,232,236,204,136,87,92,94,64,195,203,208,212,215,216,212,232,218,228,220,202,181,166,158,152,119,130,235,228,241,185,98,79,71,89,98,75,197,205,210,213,216,220,198,230,225,226,216,196,182,169,159,150,117,123,231,237,218,114,93,94,67,70,93,86,198,206,211,214,217,221,136,219,224,220,208,192,184,170,162,142,118,95,228,240,142,98,92,90,75,58,82,90
6,133,140,146,148,152,157,162,165,169,174,176,178,181,184,186,189,191,192,194,195,196,195,196,197,198,198,197,197,135,141,145,147,151,158,163,166,170,174,177,179,182,185,187,190,191,193,194,196,197,197,198,198,198,198,198,198,134,142,146,147,151,159,164,168,170,175,179,182,185,186,187,189,193,195,196,196,197,198,200,200,198,198,198,198,135,143,147,148,154,160,165,169,173,177,180,182,185,187,188,190,195,198,199,198,200,200,203,202,200,200,199,200,136,145,146,150,153,159,163,169,173,178,180,183,187,188,190,192,195,198,198,198,202,201,203,204,203,203,205,205,137,144,147,151,154,160,165,170,174,179,180,184,187,187,190,191,193,194,195,196,192,196,196,198,197,194,189,192,138,144,149,151,153,159,167,170,173,175,187,193,189,193,198,200,201,208,206,200,204,210,221,209,197,190,166,164,136,142,146,147,152,158,163,166,181,206,219,213,194,184,202,217,223,225,218,202,205,217,223,219,209,194,177,176,135,142,145,148,150,154,171,197,219,222,219,208,188,150,143,177,184,183,180,174,177,167,157,159,157,147,141,150,138,148,147,143,160,191,222,222,212,210,215,219,197,141,98,100,101,108,124,124,128,146,166,174,176,179,182,188,136,140,153,185,212,225,218,211,213,220,222,205,164,135,102,92,88,78,111,173,193,204,208,208,209,210,208,207,143,182,216,227,221,220,213,215,221,218,201,174,140,121,105,103,111,103,99,146,181,206,203,206,205,204,203,204,218,227,223,221,218,221,222,218,216,216,213,210,170,115,101,87,101,118,109,95,73,161,217,205,208,206,205,205,227,223,225,224,219,215,216,213,215,219,228,222,163,115,107,100,89,103,119,125,99,74,173,213,205,207,206,206,232,230,227,218,218,216,218,210,213,226,228,186,143,122,113,116,118,101,85,97,108,86,106,214,204,206,205,204,232,228,220,210,207,204,205,201,208,217,208,169,136,117,119,123,126,116,89,82,81,89,120,208,204,204,204,203,225,222,213,205,206,203,202,198,200,207,204,183,136,101,77,106,128,161,116,98,81,85,111,129,127,126,126,124,221,222,222,214,209,209,211,209,206,213,210,182,126,108,94,89,91,114,125,116,95,96,89,85,86,87,86,84,226,226,218,211,209,207,207,204,209,217,203,165,118,113,120,118,108,93,97,102,108,100,95,98,98,97,97,96,219,215,208,204,204,195,189,186,196,199,181,154,129,126,123,117,107,98,92,89,104,105,101,97,95,94,94,94,203,200,200,193,184,181,170,172,186,179,160,142,129,121,126,124,112,100,98,103,100,103,103,97,98,96,94,93,177,182,173,171,163,163,160,156,156,144,125,112,108,99,99,106,108,107,105,102,98,100,99,96,97,95,93,93,131,133,139,138,142,132,123,114,106,104,102,101,102,101,96,95,97,103,101,99,100,100,100,97,100,95,94,93,116,102,101,101,95,96,100,100,98,102,104,105,103,103,104,102,102,102,101,101,99,97,99,98,99,97,95,95,101,97,88,79,90,100,103,105,105,105,105,104,104,104,103,102,102,103,102,101,99,96,97,97,96,95,94,95,88,75,71,80,95,106,104,104,105,106,104,103,103,104,104,102,102,102,101,100,100,98,96,97,98,96,95,94,118,107,91,86,93,104,105,105,104,104,103,103,103,103,102,101,101,101,101,101,99,97,96,97,97,94,95,95,128,102,91,88,92,103,106,105,103,103,103,103,102,103,101,100,100,101,101,101,99,97,97,96,96,94,95,96
5,119,122,125,127,127,129,130,130,131,133,132,132,133,133,133,132,137,135,133,133,132,132,131,130,128,127,128,127,123,126,129,129,130,132,133,134,134,135,137,137,137,138,137,137,108,132,137,135,136,135,134,133,132,130,130,129,127,130,133,134,134,136,137,138,138,139,141,141,138,141,141,155,84,110,147,138,140,139,138,136,136,135,133,133,131,134,137,137,138,140,141,142,141,143,143,142,144,109,122,167,92,88,154,142,143,142,141,141,140,139,137,136,135,137,140,142,143,144,145,145,145,147,147,145,159,106,89,173,89,73,159,145,147,145,144,143,142,142,141,139,138,140,145,146,146,148,149,149,151,150,151,148,165,119,77,168,89,76,162,149,150,148,148,146,145,144,144,143,140,142,148,149,149,152,152,152,147,151,155,152,168,124,67,164,103,82,164,153,154,153,152,150,149,148,148,146,145,146,149,152,152,155,154,160,123,113,164,153,170,136,70,160,93,87,166,156,157,156,159,157,151,151,150,148,147,149,152,155,156,157,155,162,134,81,162,156,173,139,58,153,86,90,170,159,159,155,121,140,160,152,152,152,149,152,156,158,158,159,157,166,156,63,156,161,171,137,49,152,109,91,173,156,162,162,119,93,160,158,155,154,150,154,157,159,159,160,161,166,155,66,155,165,165,153,60,127,123,93,171,154,144,124,153,126,123,160,158,157,154,156,160,162,162,163,164,165,172,78,134,171,159,161,67,88,126,103,168,157,137,39,119,147,93,146,165,160,156,159,164,163,165,165,165,166,177,111,104,174,161,165,71,81,123,102,157,152,124,86,154,124,97,168,163,162,156,160,164,165,166,166,168,167,162,166,126,136,160,150,94,105,109,86,127,138,99,142,171,89,133,173,163,164,159,162,165,168,169,170,169,172,157,172,159,123,126,126,101,101,100,89,130,137,102,161,151,64,153,171,166,165,163,165,166,169,170,172,172,173,168,168,183,146,118,117,91,97,94,93,123,133,117,177,124,50,167,170,168,167,163,166,168,169,171,173,174,173,174,170,196,169,106,102,84,78,88,96,121,128,118,182,119,68,180,170,170,169,164,168,170,171,172,173,174,175,176,173,199,178,111,75,76,69,84,111,131,116,109,177,121,84,183,170,172,172,167,170,171,173,174,174,177,177,178,174,193,175,119,76,75,71,100,124,143,156,122,162,121,90,185,173,172,172,167,171,171,172,175,178,178,178,180,174,189,169,120,79,68,80,114,131,162,174,136,135,99,85,184,175,174,172,170,171,173,175,177,178,178,179,181,173,190,170,128,80,68,88,128,156,162,166,150,106,60,70,185,176,176,176,170,172,173,177,178,178,180,180,183,174,186,171,133,83,70,87,138,170,167,157,126,78,27,100,190,176,178,178,170,172,177,178,178,179,181,182,185,177,178,169,132,85,77,79,148,179,165,136,104,51,50,175,183,179,179,178,172,173,177,179,179,179,182,183,186,174,163,167,132,90,86,77,145,166,143,115,82,35,140,194,181,181,179,179,172,173,176,178,179,179,183,182,187,176,155,159,124,103,91,80,131,147,129,104,48,76,193,183,185,183,181,180,171,173,176,178,178,178,180,181,184,178,153,148,118,108,85,77,121,133,119,69,34,162,190,184,185,184,182,181,171,173,176,178,178,178,179,182,185,177,157,150,122,106,88,66,106,104,78,32,127,195,182,185,185,184,182,181,171,173,177,178,178,178,181,184,188,174,163,151,111,98,90,62,86,72,32,95,196,183,186,185,184,184,182,180
21,81,96,114,128,138,141,152,161,167,173,176,179,181,185,187,189,191,191,191,190,190,189,188,187,186,184,183,183,80,97,116,130,138,143,155,164,170,175,178,187,188,188,193,194,196,196,196,195,194,194,193,192,191,190,189,188,82,99,117,131,140,145,156,166,171,183,189,136,173,199,196,198,200,200,200,200,199,201,201,196,197,195,194,193,83,101,119,133,140,146,158,167,171,188,196,128,116,205,198,201,202,202,203,204,206,159,180,206,199,199,198,197,85,102,120,134,141,148,160,169,175,184,203,161,90,183,205,201,205,206,206,207,219,145,114,212,204,203,202,202,86,105,122,137,143,150,162,171,178,182,214,179,93,146,214,205,207,207,208,209,225,163,93,200,211,207,206,206,88,107,124,139,145,152,164,173,181,182,213,196,99,109,214,208,209,210,211,214,227,165,92,182,218,208,209,209,89,109,126,141,146,154,166,174,182,184,203,204,122,93,196,213,211,212,214,217,224,156,95,171,222,211,213,211,91,109,127,143,148,156,168,177,184,188,198,220,161,98,168,220,211,215,215,219,219,161,100,170,224,212,214,214,92,112,130,144,150,159,171,180,186,192,195,227,180,106,135,223,213,216,217,222,222,169,103,177,225,213,213,213,94,114,132,146,151,161,173,181,188,193,193,228,192,111,110,214,217,218,217,227,211,159,104,186,224,217,223,227,96,116,134,149,152,162,174,182,188,194,195,226,206,130,101,194,222,219,219,232,197,148,99,207,236,219,191,150,97,117,136,149,153,164,175,184,190,195,198,218,228,167,110,165,228,219,220,235,202,148,101,175,133,90,66,50,99,119,138,151,155,166,178,186,192,197,199,205,214,175,116,135,227,219,223,233,193,151,93,54,44,46,49,61,99,120,139,152,156,167,179,186,193,196,208,198,150,133,121,113,217,223,225,219,179,143,76,45,47,49,39,46,99,120,139,150,156,166,179,187,192,193,220,208,172,184,119,90,193,225,205,193,167,123,68,38,35,51,47,36,100,121,140,151,156,167,180,186,194,195,227,232,213,211,135,92,117,163,173,174,144,102,48,51,30,37,53,44,101,122,141,151,157,169,180,186,193,195,227,242,231,204,148,106,86,103,144,160,130,92,24,41,49,26,41,48,98,120,141,152,157,169,180,187,199,160,159,205,230,207,182,129,112,108,102,115,113,88,22,20,53,42,28,42,109,124,140,150,157,169,178,192,218,164,137,130,199,176,192,162,142,145,103,73,90,87,34,7,36,54,35,32,106,104,110,113,116,122,115,172,231,205,177,122,127,154,139,167,156,148,128,89,71,76,51,6,19,48,49,37,106,106,107,107,108,113,99,174,207,213,193,145,95,102,108,90,129,153,149,125,92,65,59,14,10,37,50,44,110,112,111,112,115,117,105,178,178,159,200,161,102,69,107,75,70,172,181,159,131,88,62,28,5,24,47,44,111,113,112,114,116,118,106,188,203,150,161,179,114,89,87,97,71,138,213,187,157,119,83,45,8,14,41,46,111,112,112,113,115,117,108,189,202,163,110,138,146,134,96,104,102,145,167,212,180,136,102,74,20,4,31,47,111,112,112,112,114,118,107,175,205,145,105,99,132,156,116,123,134,174,156,196,200,152,112,92,36,2,17,41,111,111,111,113,114,117,106,149,202,151,140,119,107,132,140,154,171,186,215,192,178,130,121,97,45,14,7,30,110,111,111,113,113,116,109,132,211,182,155,123,122,137,159,175,209,210,213,186,154,95,114,91,46,29,5,15
7,82,91,103,125,135,142,147,150,151,154,157,158,159,159,161,161,162,161,161,159,158,158,157,155,154,152,150,148,82,92,105,127,137,143,148,150,153,156,158,160,161,162,163,163,163,163,163,161,160,160,159,157,156,154,152,151,84,93,107,127,137,144,149,152,155,157,159,161,162,163,164,165,166,165,164,163,163,161,160,159,157,156,154,153,86,94,108,128,137,145,150,153,155,158,161,162,164,165,165,167,167,167,166,165,164,163,161,160,159,159,157,155,87,95,109,130,138,146,151,154,156,159,162,163,164,165,166,168,168,168,167,165,165,164,163,162,161,160,158,156,88,95,110,130,139,146,152,155,157,160,163,164,165,166,167,168,170,170,171,171,170,168,168,164,163,161,159,157,88,96,110,131,140,148,152,155,156,160,164,167,169,171,170,169,167,166,161,151,151,152,160,167,164,163,161,159,89,97,111,131,140,148,154,159,159,160,159,159,151,145,138,119,121,123,116,109,145,148,126,171,165,164,163,161,89,97,113,132,141,148,153,142,133,129,131,130,117,111,107,93,104,96,98,100,110,106,118,162,168,165,163,161,91,98,114,132,139,154,144,111,113,119,119,117,111,103,103,102,98,105,104,100,95,89,101,119,133,169,163,162,91,99,113,134,152,155,133,102,92,93,98,107,116,120,122,107,89,113,109,95,91,81,90,106,100,166,165,163,92,95,121,152,151,140,132,121,115,118,128,129,124,119,111,90,81,86,80,74,76,78,84,99,138,171,165,164,86,114,154,150,143,144,131,115,111,115,121,111,107,100,83,75,90,110,128,143,156,163,168,173,174,170,167,164,115,160,154,148,147,135,116,83,84,94,86,73,68,76,131,161,172,182,184,182,180,177,176,173,172,170,168,166,161,159,151,150,132,118,103,74,74,67,52,47,52,56,62,126,185,174,175,175,176,175,175,174,173,171,169,166,153,152,153,138,122,114,107,99,79,63,65,68,65,62,45,77,185,176,178,178,177,177,176,175,173,171,170,167,152,154,140,120,114,110,120,124,89,65,69,68,65,64,57,61,170,182,178,178,178,177,177,176,174,171,170,168,151,136,116,107,106,104,107,99,69,57,49,52,60,63,52,52,160,183,178,179,178,177,177,176,174,172,170,169,131,115,110,108,106,94,86,77,66,54,53,70,75,64,63,159,181,179,179,179,177,177,176,176,174,172,170,169,113,112,107,101,91,80,75,83,84,69,66,63,59,63,134,184,176,177,178,177,176,176,175,173,172,171,169,167,112,104,92,87,83,82,87,97,84,59,67,99,130,164,180,175,177,178,176,176,176,176,175,174,171,170,168,165,105,98,94,94,90,83,78,72,60,91,153,177,179,177,175,176,176,177,176,175,176,175,174,174,172,170,166,163,78,76,81,78,72,69,71,95,134,166,171,168,170,173,175,175,176,176,177,177,176,176,175,174,172,170,168,169,54,50,25,53,130,130,149,164,168,164,167,171,173,174,175,176,177,175,175,174,173,172,170,167,167,168,164,125,55,49,2,55,143,126,126,121,119,119,120,118,116,116,118,117,113,111,111,109,106,103,100,102,89,70,56,27,47,24,1,59,95,88,90,90,91,92,91,91,92,91,91,89,89,90,88,87,86,85,86,72,35,16,13,9,2,0,9,75,103,98,97,97,97,97,97,97,97,97,97,96,96,97,96,93,92,85,53,24,16,15,11,4,11,28,35,63,99,96,96,96,97,97,97,97,97,96,96,96,93,91,91,92,71,39,11,12,10,8,7,4
2,182,184,185,186,186,187,186,186,186,185,184,184,184,183,183,182,181,180,179,180,179,178,176,175,154,71,58,68,184,185,187,187,187,187,187,187,187,187,186,186,185,184,183,183,182,182,181,180,180,178,177,178,143,65,62,75,186,186,188,189,188,188,189,189,189,188,188,187,186,185,185,180,172,176,179,178,180,180,180,179,155,82,69,74,187,188,189,189,190,190,190,189,189,189,188,188,188,189,184,156,113,124,147,127,173,182,180,179,174,104,74,73,188,190,191,192,192,192,192,191,191,191,193,199,191,172,139,108,82,77,96,82,136,179,182,180,179,118,67,59,189,190,193,193,193,193,194,194,192,198,206,199,153,106,86,74,65,66,72,71,75,149,185,182,183,144,63,40,190,192,193,194,194,194,195,195,194,204,199,161,106,64,62,63,55,57,63,68,67,144,186,184,183,172,79,36,192,193,194,195,196,196,196,196,200,215,166,100,75,57,52,59,61,64,75,94,131,179,186,185,184,181,123,85,193,194,195,195,197,198,198,195,209,210,138,79,69,67,60,64,70,124,166,179,187,187,187,186,185,183,143,129,194,195,196,197,199,200,199,197,219,195,126,79,67,68,62,82,141,185,192,190,189,188,189,188,186,184,114,135,195,195,197,199,200,200,199,206,218,173,109,67,62,60,66,123,195,194,193,192,190,190,189,188,188,184,121,155,196,197,198,200,201,200,200,216,213,162,112,78,72,61,65,136,198,195,194,193,192,191,189,188,189,187,156,146,198,200,201,201,202,201,206,227,206,152,107,85,79,73,68,159,198,196,195,194,193,192,191,190,189,189,183,157,200,202,202,203,202,202,217,229,190,138,97,81,78,78,85,179,199,197,196,195,194,194,193,192,191,190,187,176,200,202,203,203,203,202,228,224,178,127,90,78,76,78,89,184,200,198,197,196,195,195,194,192,191,190,189,181,202,202,203,204,203,207,236,217,169,120,88,78,79,80,94,190,200,199,198,197,196,195,195,194,194,192,190,186,201,203,205,205,203,220,235,204,159,113,85,79,80,76,93,193,201,200,200,199,197,196,195,194,192,190,190,189,202,204,206,205,205,234,228,190,147,105,81,76,73,71,73,147,204,201,200,200,198,192,180,167,156,147,150,180,204,206,206,203,214,237,218,177,135,100,80,69,68,71,75,89,187,205,201,192,172,155,152,148,141,128,101,143,206,207,207,202,225,232,205,164,127,97,78,62,65,72,76,73,122,170,167,152,149,149,151,138,121,121,124,160,206,207,203,209,234,227,197,156,120,93,72,58,71,79,82,83,82,102,129,148,157,146,121,105,134,177,188,191,205,205,200,227,236,220,188,151,114,87,67,63,84,92,100,100,100,108,130,143,132,110,97,143,190,195,194,192,204,199,216,236,231,213,181,144,108,85,66,74,93,102,110,108,107,109,115,111,112,141,171,194,195,194,193,191,198,209,234,230,220,203,174,136,101,85,70,85,99,105,109,105,97,90,96,137,180,197,199,198,195,194,193,192,203,223,228,223,212,193,163,123,96,84,77,96,106,107,100,91,83,103,162,197,203,201,200,199,196,195,193,192,220,219,218,210,193,171,143,107,90,80,82,97,103,100,84,88,146,189,202,203,202,201,200,200,197,195,194,193,218,215,205,187,166,148,117,92,81,79,85,90,93,82,88,158,203,205,203,203,202,201,200,199,197,196,195,194,218,210,190,166,147,133,101,81,77,81,80,80,79,101,169,204,204,203,203,203,202,201,201,200,198,196,195,195
23,166,168,170,171,174,174,177,179,179,180,180,182,182,183,184,184,185,185,184,183,183,183,183,182,181,181,182,182,168,170,173,174,176,177,181,183,182,182,183,185,186,189,190,188,185,184,185,185,185,185,185,186,185,186,185,186,169,173,175,177,178,179,182,183,184,185,185,187,190,188,186,188,198,214,221,202,179,180,191,186,186,188,188,189,170,173,177,178,178,180,183,186,187,187,187,189,188,198,207,225,237,236,221,203,190,176,164,117,180,190,189,190,174,176,178,179,180,182,184,187,188,186,190,187,201,255,246,216,210,207,158,123,130,121,99,131,193,190,193,191,174,176,178,181,182,184,184,187,189,190,192,183,219,255,217,173,172,127,116,165,155,148,170,198,192,193,193,193,176,177,181,183,184,185,189,190,191,192,194,184,234,255,208,134,104,142,188,202,202,203,200,195,194,193,194,195,177,180,183,185,186,189,192,191,192,193,194,192,252,249,212,146,153,207,204,222,207,180,199,195,196,196,196,196,179,182,184,185,189,191,192,192,195,198,191,206,255,238,224,123,168,239,246,255,224,129,204,209,200,198,200,200,180,183,185,188,190,189,192,195,198,201,189,222,255,231,225,180,248,255,253,237,188,111,115,149,204,203,201,201,182,185,186,190,190,192,195,197,199,200,192,244,255,230,249,255,255,245,226,210,198,210,129,60,169,209,200,203,184,187,190,191,193,196,199,200,202,197,203,255,254,246,246,248,245,237,236,238,238,234,170,75,123,218,201,205,185,189,192,194,195,197,199,202,201,204,241,253,247,242,236,243,247,247,240,230,208,189,140,80,77,172,211,204,187,190,192,195,196,198,200,203,198,242,255,254,253,246,234,229,234,235,224,210,195,204,163,74,67,115,218,206,190,191,193,196,198,201,202,204,198,249,255,255,255,246,223,223,230,229,224,211,205,210,175,85,59,134,221,208,192,193,195,198,200,202,204,207,203,243,255,255,255,253,241,242,228,220,210,196,192,183,141,88,66,179,220,210,193,194,196,200,201,202,206,209,202,234,255,255,255,253,238,245,203,171,171,162,147,139,132,87,98,216,214,211,193,196,199,201,203,205,207,210,203,228,255,255,255,248,236,229,187,132,98,77,93,140,131,81,144,227,213,213,196,199,201,203,206,207,209,211,205,225,255,255,255,243,233,209,178,146,90,0,71,142,126,81,184,224,216,216,198,200,202,205,208,208,211,212,210,222,255,255,255,247,229,240,226,128,38,38,105,129,98,92,213,219,216,219,199,201,205,207,209,210,212,213,213,221,255,255,255,248,239,241,203,129,47,65,107,90,71,131,231,217,218,220,200,203,206,209,210,211,213,214,214,218,255,255,255,251,246,239,188,142,82,50,68,81,75,153,234,216,220,220,201,204,206,209,212,213,214,216,217,216,255,255,255,251,251,240,191,138,98,43,71,93,77,174,234,220,222,222,202,204,207,210,211,213,216,217,218,217,254,255,255,253,252,238,193,140,110,67,83,99,84,202,228,223,224,225,202,204,208,210,212,214,217,219,219,218,255,255,255,253,250,233,195,146,112,79,94,97,103,228,222,225,226,226,203,205,208,210,212,215,218,220,221,219,255,255,255,250,242,221,185,141,111,88,95,82,147,241,223,226,226,227,206,208,209,212,214,216,219,220,223,220,253,255,255,243,225,204,173,131,113,99,91,89,217,232,226,228,228,228,207,210,211,213,217,219,221,221,225,221,252,255,255,238,209,184,150,126,117,109,78,144,241,224,229,229,229,230
21,202,202,202,203,204,204,204,204,203,204,205,201,203,203,201,200,200,198,198,197,195,195,192,190,190,188,184,182,204,205,205,206,208,208,208,207,207,205,214,197,164,206,204,203,203,201,201,200,199,197,195,194,192,191,188,185,207,208,209,210,211,210,210,211,212,210,212,211,153,178,214,207,207,206,204,204,202,200,199,197,198,194,191,190,210,211,212,212,213,213,213,214,214,214,212,213,178,141,215,211,211,210,208,207,205,203,205,187,164,200,195,192,213,213,214,215,215,215,216,217,217,216,215,217,196,123,196,218,212,212,210,211,209,204,210,182,128,195,199,195,216,216,216,217,217,218,218,219,217,217,218,218,211,142,167,224,213,214,212,212,211,207,218,168,132,203,201,197,218,218,219,219,220,221,221,221,220,219,220,222,224,168,144,221,217,216,215,214,212,214,210,150,147,213,201,200,219,221,222,223,223,223,222,222,222,222,224,223,231,182,129,208,223,217,217,217,213,222,203,134,173,214,203,202,222,224,225,225,225,226,224,225,224,225,226,224,237,199,135,189,228,218,219,217,219,220,187,131,199,212,206,204,225,226,227,228,228,228,228,228,227,228,228,224,232,220,159,170,231,220,221,220,222,206,156,143,218,210,209,206,228,229,229,229,230,230,229,229,230,230,229,229,225,224,182,154,226,223,223,224,224,199,123,177,222,212,211,209,229,230,230,230,231,231,230,230,230,231,231,232,209,187,179,142,217,228,224,229,223,179,131,218,218,214,213,210,230,231,232,232,231,231,231,232,231,231,233,230,227,217,198,156,204,238,226,230,209,146,166,230,216,217,214,212,231,233,234,234,233,233,234,234,234,234,237,225,211,238,227,197,162,206,218,205,182,127,205,227,220,218,216,215,234,236,235,236,236,236,235,235,236,236,237,230,189,173,221,199,181,142,171,181,140,139,231,223,222,219,218,216,235,236,236,236,237,237,236,236,237,236,238,232,191,111,118,207,200,128,113,137,114,159,237,223,222,221,219,217,236,236,236,237,238,238,238,239,239,238,240,237,201,165,124,160,186,128,122,112,101,173,239,225,224,223,221,219,238,238,238,239,240,239,238,239,239,240,236,218,219,209,174,124,172,152,132,142,104,183,239,227,227,225,222,220,239,239,239,241,241,242,242,242,242,243,225,224,226,213,198,176,141,164,145,154,99,163,242,227,228,226,224,222,240,241,241,242,243,243,243,243,244,240,226,217,178,186,212,196,161,123,148,135,99,119,238,229,229,227,225,223,239,241,241,242,242,243,242,243,244,241,227,217,175,116,151,194,157,94,118,156,123,88,181,240,228,229,225,222,240,241,242,243,242,242,243,243,244,240,228,212,180,149,102,142,130,102,108,163,152,95,138,240,225,225,228,230,240,242,243,243,244,243,243,244,245,243,223,213,205,164,118,140,163,110,135,181,163,95,157,242,230,233,209,163,239,241,241,243,243,243,243,244,244,243,218,214,214,159,138,164,235,193,176,179,134,90,210,234,201,152,104,83,248,247,248,250,249,248,248,248,249,247,223,219,199,179,136,166,230,219,184,158,122,97,164,125,99,81,82,88,204,207,212,216,220,223,227,230,234,236,220,207,194,172,126,160,213,195,169,147,121,91,85,85,93,73,82,91,138,138,138,139,142,143,142,144,145,141,174,207,197,165,133,158,210,191,157,127,103,85,86,80,91,66,72,94,147,147,146,146,146,149,149,147,150,142,160,211,194,166,146,145,192,177,139,110,86,80,80,74,82,61,67,91
7,166,169,170,172,173,174,176,177,178,179,179,179,178,178,178,178,179,181,179,179,179,177,176,176,174,171,169,168,168,169,171,173,176,178,178,180,179,180,181,182,181,181,182,182,182,183,181,182,181,180,179,177,176,175,173,172,168,172,173,175,177,179,181,182,182,183,183,183,184,184,185,185,185,184,183,184,184,182,181,179,178,177,176,174,170,174,177,178,179,181,182,184,185,184,185,186,186,186,186,186,186,186,185,184,186,184,183,182,180,180,178,177,173,177,179,181,182,183,184,186,186,186,187,187,186,189,188,187,188,188,187,187,187,186,185,183,183,183,181,178,175,178,181,183,184,185,187,188,188,189,189,188,188,190,191,190,190,189,190,189,188,188,187,185,185,185,184,181,177,180,183,184,185,187,190,190,191,190,192,192,191,192,193,193,192,192,192,192,191,190,189,188,188,185,186,185,177,181,183,185,187,189,190,191,191,195,192,192,194,194,192,193,194,193,194,194,193,191,192,187,185,187,186,185,179,182,184,186,187,189,190,195,202,204,177,152,170,185,187,184,187,192,190,190,185,189,181,194,203,184,187,184,182,184,184,187,191,199,203,203,206,206,196,149,129,159,172,170,172,166,163,172,169,178,166,189,177,174,193,186,182,186,197,203,206,206,202,199,192,187,183,145,120,136,155,165,165,161,159,155,151,159,147,142,138,178,188,188,200,208,207,206,202,196,189,178,171,180,190,159,120,111,117,131,148,161,153,151,160,159,152,165,162,163,183,173,219,210,202,196,188,183,178,175,179,187,193,164,124,122,122,114,112,103,117,128,129,136,130,134,143,143,142,167,214,206,196,183,173,168,166,169,175,186,174,142,118,116,131,140,132,104,128,192,183,177,172,172,170,172,181,198,207,202,196,181,171,168,169,165,161,175,181,150,107,94,115,127,129,126,108,200,209,206,207,206,204,203,201,197,201,199,196,187,180,174,175,174,170,177,190,161,124,124,128,116,117,95,138,213,202,204,204,202,201,200,199,199,195,191,188,187,185,179,175,172,172,177,181,160,133,139,141,130,126,107,200,209,205,207,205,204,204,202,202,201,178,176,179,185,186,184,176,169,168,167,150,137,121,114,122,128,101,162,219,204,206,207,206,206,205,205,203,204,80,91,123,163,185,178,164,154,143,130,122,111,70,51,73,107,105,201,211,207,207,208,206,204,202,202,208,175,16,14,22,50,101,138,125,132,140,158,186,201,111,65,93,112,172,214,209,209,208,206,203,207,211,216,168,92,17,12,8,3,5,19,151,204,209,215,213,218,197,151,178,200,215,210,211,210,207,207,216,198,156,134,89,67,9,4,2,5,0,47,224,207,209,208,209,209,212,217,215,212,209,212,212,209,213,212,171,107,84,74,63,49,3,0,0,0,0,52,221,205,209,210,211,211,210,208,209,210,212,212,211,214,210,126,60,59,77,65,56,50,0,2,0,0,0,43,226,208,212,212,212,214,215,214,213,215,214,214,216,218,154,81,49,30,51,50,44,47,8,12,6,0,0,33,206,193,199,202,203,204,206,206,207,210,210,212,209,125,66,89,49,20,27,44,37,39,20,14,0,0,0,5,107,104,107,109,111,115,119,120,122,125,123,129,128,70,43,81,45,12,17,28,29,30,28,6,0,0,0,24,99,87,87,90,89,90,90,90,91,88,88,107,106,59,35,73,40,10,14,20,23,25,20,0,0,0,0,53,111,100,102,103,102,101,101,100,100,98,103,89,72,54,33,63,33,12,9,16,18,21
14,171,175,178,180,181,183,185,186,187,189,188,190,190,189,189,190,189,188,188,188,188,187,186,185,183,183,182,181,173,177,179,182,183,186,186,187,189,191,191,192,192,191,191,190,192,193,192,189,187,188,188,186,185,185,184,183,175,179,181,183,186,187,188,190,191,193,192,192,193,192,193,192,175,179,190,191,191,188,187,187,187,186,185,185,175,180,183,185,186,188,190,192,192,192,193,194,194,193,192,181,174,163,167,161,180,197,188,186,188,186,187,187,176,181,184,185,187,190,192,193,194,194,195,195,193,204,204,196,188,174,150,134,131,155,191,193,187,188,187,188,178,181,186,188,189,191,193,194,195,196,197,194,202,219,194,172,204,181,153,118,105,104,120,177,195,187,189,188,179,182,187,189,190,192,193,195,196,197,197,203,216,214,176,108,152,142,171,138,91,111,89,94,174,195,188,190,180,183,187,190,191,194,195,196,198,198,199,214,200,166,138,104,92,108,178,161,110,109,110,91,100,193,192,191,181,184,188,191,193,194,196,198,199,203,211,222,182,129,101,88,86,86,146,173,131,113,128,114,95,152,199,190,181,185,189,191,194,195,198,200,199,211,223,221,190,153,118,102,95,87,92,137,146,112,119,110,116,111,187,195,183,185,189,192,194,197,198,200,202,217,227,211,172,142,117,99,99,93,139,184,200,181,138,114,115,99,147,200,183,187,190,193,195,198,199,199,208,226,222,184,137,109,101,95,87,121,209,204,199,205,205,149,116,119,139,200,185,189,192,194,197,198,202,196,215,227,213,192,155,112,95,82,105,202,209,200,202,202,199,140,149,116,143,205,186,190,193,196,198,200,200,201,226,220,203,195,158,125,98,76,83,118,181,208,199,210,175,139,152,110,120,205,187,192,193,196,199,203,196,218,229,213,201,196,152,128,90,80,86,86,100,185,215,184,125,137,144,114,95,180,188,192,195,197,200,200,203,230,220,202,207,192,155,131,89,84,96,103,103,112,142,118,129,143,132,113,90,169,188,192,197,199,202,198,217,230,218,207,207,186,157,126,90,97,113,114,114,111,100,116,131,142,131,97,141,203,189,193,197,200,201,203,231,228,219,205,196,184,154,115,94,110,124,125,123,122,115,116,133,127,105,149,206,202,191,194,197,200,200,212,234,225,212,198,188,179,143,116,102,120,127,129,126,122,120,116,117,106,164,210,203,203,192,195,198,201,200,225,232,218,205,193,180,167,137,119,112,122,132,128,125,115,120,103,99,177,214,203,204,204,192,196,199,201,203,233,227,213,201,185,172,161,137,123,113,122,133,124,120,112,102,127,188,214,206,207,205,204,193,197,201,201,210,238,224,207,195,181,165,152,143,121,112,117,124,122,114,99,166,214,213,208,209,208,206,205,194,198,202,200,224,235,218,197,175,170,162,151,128,113,114,114,117,106,101,171,220,210,209,210,209,207,208,206,194,198,199,212,235,225,210,184,182,174,148,128,110,114,117,101,109,136,192,219,211,212,211,210,209,208,208,207,196,203,196,214,229,218,207,189,181,155,141,125,114,112,103,144,200,219,219,213,214,213,211,210,209,209,209,208,190,193,185,215,225,218,202,189,167,139,135,120,114,95,146,229,221,216,216,215,214,213,213,212,210,210,210,208,105,67,132,229,220,212,197,179,152,131,127,116,104,107,204,219,216,218,217,215,215,214,214,213,212,211,210,209,96,69,114,206,218,205,193,171,139,123,118,111,89,162,223,216,217,217,217,215,216,215,215,214,212,211,210,209
23,124,128,130,133,136,136,138,140,142,143,144,145,145,145,146,146,145,145,145,144,145,144,143,143,143,141,140,140,124,128,132,135,137,138,140,141,143,145,145,146,146,147,147,149,147,147,148,147,147,145,145,145,144,143,142,142,126,129,133,136,138,140,141,143,144,146,148,149,149,149,149,150,149,147,149,153,150,147,146,147,147,145,144,143,127,131,135,138,140,141,142,145,147,148,148,150,150,150,149,151,155,145,124,127,148,151,149,149,148,148,146,145,129,133,137,139,142,143,145,146,147,149,150,152,152,152,158,159,159,147,142,117,132,143,149,152,150,149,148,147,131,134,139,141,143,144,147,148,149,151,152,154,154,171,155,152,173,122,127,136,133,92,128,157,150,150,149,148,132,137,139,143,144,146,148,150,152,152,155,152,167,169,140,116,121,71,104,108,91,99,150,155,153,152,151,151,135,139,142,144,146,148,150,151,153,154,156,154,177,160,152,70,101,139,160,156,149,159,157,156,155,155,153,153,136,139,143,145,147,149,150,153,154,156,157,161,179,161,160,87,124,172,156,160,162,157,157,157,156,156,155,154,137,139,143,146,149,150,152,154,156,157,155,164,172,160,158,130,146,158,145,113,145,161,158,159,157,157,156,156,137,141,146,148,150,153,155,156,157,166,162,153,151,154,167,166,168,163,145,78,100,172,159,160,159,158,157,157,138,143,147,149,152,154,156,156,161,180,165,148,137,142,150,142,139,132,120,81,91,174,159,162,162,161,160,158,140,143,147,151,153,155,157,156,166,182,166,143,117,123,158,163,156,144,126,82,78,171,162,164,163,162,161,161,140,144,148,151,154,156,159,157,175,183,169,143,124,122,132,136,141,152,135,82,63,168,165,164,163,162,162,161,141,145,149,152,154,157,158,161,183,185,172,154,153,156,140,117,105,113,106,71,59,164,168,165,166,164,162,162,142,147,151,154,155,158,158,167,187,182,170,154,154,142,153,140,121,109,81,63,53,91,154,175,166,167,164,163,143,147,151,155,157,159,161,179,185,184,172,147,138,112,138,154,126,101,71,56,65,95,90,148,174,167,167,165,143,148,152,156,158,156,170,190,187,181,156,107,98,95,89,119,139,101,60,54,64,89,61,50,160,171,167,167,144,149,153,156,158,159,185,194,184,163,145,117,82,62,54,141,162,88,60,49,62,72,58,39,114,179,166,168,145,150,154,158,156,180,197,189,176,153,143,120,85,61,111,148,129,74,51,55,69,71,57,46,133,176,167,168,146,150,154,156,164,198,195,184,164,152,142,110,79,63,98,99,84,58,42,64,79,68,57,125,177,171,170,169,147,151,156,153,183,201,189,179,163,152,133,107,74,44,48,51,62,59,54,67,66,76,147,181,172,172,172,170,148,152,155,164,200,194,188,171,155,143,126,95,69,51,63,71,77,73,67,53,106,168,180,172,174,173,173,173,148,152,153,195,199,185,176,161,148,135,112,85,67,59,77,83,83,71,60,127,184,179,174,174,174,174,174,174,147,149,168,208,188,175,164,149,135,119,102,81,66,64,80,78,65,52,138,189,177,177,177,176,174,174,174,174,155,149,183,201,182,168,158,144,127,114,98,80,62,63,74,57,63,147,186,178,179,179,178,177,176,175,174,174,50,113,204,186,177,158,138,134,121,102,88,68,56,51,54,90,165,188,180,180,179,179,178,178,177,176,176,175,18,102,187,173,172,146,138,128,91,77,60,41,40,83,137,184,184,178,180,180,179,179,179,179,178,177,175,175
7,115,133,144,150,155,158,162,162,163,166,168,169,170,170,171,172,172,172,172,171,170,169,168,167,167,165,164,163,117,135,145,151,156,159,162,163,164,167,169,170,171,171,171,172,173,173,173,172,172,171,170,168,168,166,165,164,118,137,146,152,156,160,162,164,166,168,170,171,172,173,173,174,175,175,175,174,173,171,171,170,169,168,167,166,119,137,146,153,158,161,164,166,168,170,170,171,173,175,175,175,176,175,175,175,175,173,172,172,171,170,169,167,119,138,146,153,158,162,165,166,168,170,171,172,174,175,176,175,175,175,176,175,176,175,175,174,172,171,170,168,120,139,146,154,159,162,165,166,168,170,171,173,175,177,179,179,180,181,179,178,176,173,170,169,173,173,171,169,120,138,147,154,159,163,166,169,171,174,176,174,174,171,166,159,149,147,144,147,135,127,150,152,146,174,171,171,121,139,148,155,159,163,165,158,152,147,146,145,140,129,125,128,108,115,119,114,114,116,148,145,126,177,175,172,123,141,148,156,160,166,153,128,121,127,129,133,131,123,116,109,106,107,109,106,110,106,106,102,123,157,168,175,124,141,147,155,164,161,145,117,110,115,114,115,116,118,119,122,122,108,113,121,115,111,107,102,106,126,126,167,125,141,151,159,159,149,138,121,108,106,114,123,130,132,131,127,119,99,104,120,109,100,100,92,99,118,105,158,123,151,158,155,148,145,142,134,130,131,136,139,130,128,125,120,103,93,93,95,90,87,88,88,93,103,132,175,152,160,154,152,152,150,136,116,108,113,121,120,114,111,101,92,88,102,117,132,145,156,162,167,172,175,179,177,166,158,157,156,152,136,127,97,91,103,101,90,83,98,139,157,169,178,187,190,189,188,186,184,183,180,177,176,162,159,158,149,133,129,117,91,88,83,73,64,69,78,100,112,179,188,182,183,182,182,181,181,181,179,178,177,161,161,151,137,129,124,118,112,96,78,77,80,79,74,68,51,127,194,182,185,184,184,183,182,182,180,178,178,162,154,136,128,124,121,131,134,109,82,81,83,82,80,81,66,130,195,184,185,184,184,184,183,183,180,179,177,150,135,122,121,120,118,122,119,92,76,74,71,75,76,76,60,100,192,185,186,186,185,184,183,182,182,181,178,130,123,120,119,114,107,108,98,80,70,61,67,78,80,78,66,123,189,185,186,186,186,183,183,182,181,180,178,126,123,121,116,108,95,90,91,89,76,75,86,88,82,66,135,195,186,186,186,186,185,184,183,183,182,180,178,120,112,105,100,95,92,97,107,101,85,78,74,74,78,124,185,184,185,185,185,184,184,183,182,181,180,179,177,113,106,104,101,99,100,103,106,92,72,87,120,145,172,187,183,183,184,183,183,183,183,182,182,181,179,177,177,110,107,107,104,97,93,90,82,79,117,169,186,187,184,182,183,184,184,184,183,183,183,182,182,181,181,178,177,92,95,92,89,85,83,93,123,155,181,180,178,180,181,182,183,184,183,183,183,183,183,182,181,180,180,177,176,67,43,89,127,128,143,162,173,173,172,175,178,180,181,181,181,182,182,182,183,183,182,182,182,180,179,177,176,58,21,117,170,166,171,171,170,173,177,179,181,182,183,184,185,184,183,183,183,181,180,181,179,177,176,176,175,38,26,124,147,138,138,138,138,137,137,136,133,133,134,134,133,131,128,128,127,124,122,121,118,116,113,95,88,21,39,99,104,103,106,104,104,106,106,104,104,104,105,106,103,103,102,101,101,101,101,99,98,97,73,41,39
15,132,142,148,150,154,160,166,171,175,179,182,185,188,191,194,197,198,201,203,204,205,206,207,207,208,208,209,208,134,144,150,152,155,162,168,174,177,181,183,186,189,192,195,198,200,202,204,206,207,207,207,209,209,210,210,209,135,145,151,153,156,163,169,175,179,182,184,187,190,194,196,199,202,204,206,207,208,208,209,209,210,212,211,210,136,145,153,154,157,164,170,175,179,183,185,189,192,194,196,200,203,205,206,208,208,210,210,211,212,213,213,212,137,146,153,154,159,166,172,177,181,185,187,190,193,195,198,201,203,206,208,208,210,211,211,212,213,213,214,214,139,148,154,156,160,167,172,178,183,186,187,190,193,196,200,203,205,207,208,208,210,211,212,213,214,214,214,215,140,150,155,156,162,169,174,179,184,187,190,194,200,203,205,207,210,211,213,215,218,218,214,213,213,213,214,215,142,151,156,157,162,170,175,180,183,185,184,176,170,175,181,186,191,190,183,176,178,195,212,219,221,220,219,216,142,151,156,160,164,169,169,166,166,168,162,154,150,148,150,151,158,166,158,154,141,131,141,155,175,194,211,219,143,152,160,168,165,170,163,148,148,143,132,142,158,158,154,143,157,177,170,170,157,143,136,123,113,114,126,149,145,154,159,145,129,126,113,96,101,100,97,102,114,113,107,108,145,156,156,154,145,145,150,142,128,118,111,115,146,155,158,158,150,137,132,143,159,171,179,175,168,159,147,127,139,140,146,129,131,139,162,148,136,123,117,125,147,154,158,162,171,178,184,189,192,193,197,201,204,213,200,165,156,138,129,114,130,152,172,156,146,134,127,136,147,154,158,162,167,174,179,183,187,190,194,197,200,198,173,180,151,98,108,80,141,184,176,158,157,146,139,140,147,154,157,161,167,174,179,183,187,190,193,197,200,188,174,157,144,76,80,66,159,195,179,156,157,148,140,134,148,155,157,161,167,174,180,184,187,190,194,198,193,186,185,143,98,71,81,57,154,199,175,153,142,135,130,120,149,155,157,162,169,175,181,184,187,190,194,198,197,171,187,166,95,73,79,64,158,186,171,146,124,118,108,105,149,156,159,162,170,176,180,184,188,191,194,198,204,192,181,184,138,91,122,166,170,166,167,134,112,106,98,104,148,156,159,162,169,175,180,184,189,191,195,199,201,208,192,183,170,161,166,159,152,143,122,98,92,87,91,95,149,155,157,162,170,175,181,183,188,192,195,198,201,207,193,171,176,159,125,129,117,99,103,145,139,140,157,178,149,156,158,164,171,176,182,188,192,197,200,202,205,187,155,145,150,136,110,99,87,75,79,193,234,226,229,227,125,130,133,136,140,143,150,153,156,161,167,168,185,174,147,127,110,109,93,78,78,73,77,123,227,215,221,223,114,115,114,117,119,117,116,116,118,118,120,117,142,158,116,95,87,103,114,97,95,117,109,120,147,147,152,156,120,121,123,125,125,126,126,126,128,130,131,130,133,128,105,111,123,131,132,131,130,132,132,129,126,127,126,126,119,120,122,123,124,124,125,126,126,128,128,130,130,127,133,139,135,132,130,131,132,132,131,132,134,134,134,134,120,122,123,124,124,125,125,126,126,126,127,127,129,129,130,132,133,136,132,132,130,131,133,134,133,134,135,136,120,121,124,125,126,127,126,128,128,128,128,129,130,130,130,129,129,132,132,131,131,132,132,133,133,134,135,136,119,120,123,125,126,126,126,128,128,129,129,130,130,131,131,130,130,131,131,132,132,131,132,133,133,133,135,134
7,96,106,119,143,155,163,169,172,173,177,179,181,182,183,184,185,186,185,184,183,181,181,180,178,176,175,172,170,96,106,121,145,157,164,170,173,175,179,181,183,184,185,187,187,187,187,186,185,184,183,182,180,178,177,174,173,97,108,123,146,158,165,171,174,177,180,182,185,186,187,188,189,190,189,188,187,187,185,184,182,180,179,177,175,99,109,124,147,158,167,172,175,178,181,184,186,187,189,190,191,191,191,190,189,188,187,185,184,183,182,180,177,100,110,125,149,159,168,173,177,179,183,186,187,188,189,190,192,192,192,192,190,189,189,187,186,185,183,181,179,101,111,127,149,160,168,175,178,180,184,187,189,190,191,192,193,195,195,195,194,194,192,192,188,186,184,182,180,102,111,127,150,161,169,175,178,180,184,188,190,192,194,194,193,191,189,183,174,174,175,183,191,188,186,185,183,103,112,128,151,161,169,176,181,182,183,183,182,173,166,157,137,138,142,134,128,165,169,147,194,190,188,187,184,103,113,130,152,162,170,175,162,153,148,151,149,136,129,125,110,120,113,114,116,125,123,137,184,192,189,187,185,105,113,131,152,161,176,165,131,130,136,137,134,128,120,119,117,114,120,120,116,110,105,115,137,152,192,188,186,105,114,131,154,174,176,153,119,108,108,114,124,134,139,138,122,103,126,122,108,102,95,105,123,120,189,190,187,105,112,140,172,173,162,152,138,132,136,146,147,142,135,126,104,95,103,97,89,91,92,98,117,158,194,190,188,102,132,174,173,165,164,150,132,127,131,137,127,123,115,99,91,105,127,147,164,178,185,191,195,198,194,191,189,134,180,177,171,168,155,134,98,98,108,99,85,80,89,148,181,195,205,206,205,204,202,201,199,197,195,192,190,182,182,174,171,152,136,119,89,87,78,63,57,62,64,74,143,209,203,202,202,202,202,201,200,198,196,193,191,177,176,175,159,141,132,124,114,91,74,76,78,75,71,59,92,207,203,204,203,203,202,202,201,199,195,195,192,174,175,160,139,130,127,137,139,102,75,78,78,76,73,67,73,193,207,204,204,204,203,203,201,199,196,194,192,172,156,135,124,123,120,122,114,82,67,58,62,70,71,61,67,183,208,205,205,203,203,202,201,199,197,195,193,150,134,127,124,121,109,100,91,77,64,63,79,84,75,78,179,206,206,205,205,203,202,202,201,200,197,195,193,131,129,123,116,105,93,88,96,95,78,75,75,72,78,152,207,203,203,203,203,202,202,201,199,197,195,194,191,129,120,107,101,97,95,100,109,95,72,80,114,150,186,204,202,203,203,202,201,201,201,200,199,197,195,192,189,120,113,108,107,101,94,91,85,75,107,173,199,202,202,202,202,202,202,202,201,202,201,200,200,197,195,191,188,90,89,92,91,88,84,86,112,154,187,195,195,197,200,201,202,202,202,203,203,202,201,200,199,197,196,193,191,65,58,35,63,143,149,168,182,188,187,191,194,196,197,199,200,200,199,199,197,196,195,193,191,190,189,184,143,64,54,10,65,156,145,143,140,139,138,138,136,134,134,136,135,131,128,128,126,123,120,117,117,103,82,66,36,53,28,7,68,111,107,106,107,107,108,107,107,108,107,107,106,105,106,104,102,101,100,99,83,44,23,19,12,6,0,14,85,115,113,111,111,111,111,110,110,110,110,110,110,110,110,110,107,105,95,61,30,20,17,13,6,15,32,42,75,113,112,111,111,112,112,112,111,112,111,111,110,108,106,106,105,83,47,17,16,13,11,10,6
13,200,201,205,209,213,217,220,222,226,226,228,230,232,231,232,232,231,235,237,234,235,234,233,235,235,235,236,235,201,204,209,211,214,219,221,224,227,228,230,232,233,232,234,233,233,230,227,238,236,237,236,237,237,238,239,238,203,206,211,214,216,220,223,225,229,229,231,235,234,233,237,235,240,212,153,168,245,239,239,237,237,238,239,239,205,209,212,216,218,222,225,226,230,230,233,235,234,236,236,247,255,213,148,107,247,233,243,244,238,240,241,242,208,210,213,218,220,224,228,230,231,231,235,233,241,211,176,200,253,207,145,102,172,156,158,215,249,243,244,243,208,211,214,219,223,226,228,231,234,235,236,245,255,208,157,144,242,197,149,75,153,176,109,119,252,243,245,243,209,213,216,220,224,228,230,232,236,237,234,233,255,239,181,151,231,186,125,102,223,193,117,90,226,251,244,245,211,214,219,222,226,229,232,235,235,237,238,174,137,197,198,137,225,216,107,155,240,178,120,91,231,253,247,249,212,216,220,222,227,231,234,236,236,255,236,182,133,127,195,122,247,234,124,178,230,169,114,97,244,251,250,250,214,218,222,226,230,233,235,235,252,236,238,203,155,111,178,137,149,172,91,176,255,191,101,109,255,251,253,252,215,219,224,228,230,234,236,241,249,196,230,207,153,98,148,165,60,32,83,190,232,162,72,137,255,249,254,255,215,220,224,228,230,234,236,248,249,201,194,200,153,90,124,161,95,14,102,208,183,123,80,195,255,251,253,254,216,220,223,228,232,236,239,255,243,199,172,212,144,98,108,144,101,74,165,207,204,191,147,142,255,255,255,255,218,220,224,229,233,236,238,255,244,206,161,200,141,98,98,168,122,153,253,209,184,166,144,97,218,255,254,255,219,221,224,229,234,236,239,255,239,203,157,179,154,115,102,205,159,209,243,221,186,146,123,99,225,255,255,255,219,222,226,230,235,238,243,255,242,216,189,156,152,137,78,192,219,253,236,208,177,135,112,112,253,255,255,255,220,224,228,232,235,237,245,255,245,221,201,173,135,116,132,244,252,255,231,197,164,128,103,132,255,255,255,255,220,225,228,230,234,237,243,255,244,221,206,199,162,152,171,246,253,250,214,177,147,120,96,189,255,255,255,255,219,223,227,231,235,238,240,250,244,230,213,207,174,153,152,236,255,234,192,159,135,109,121,255,255,255,255,255,219,224,227,232,236,239,241,242,241,232,214,210,185,157,160,228,252,215,180,147,125,93,175,255,255,255,255,255,221,225,228,232,236,239,241,243,245,236,215,207,189,160,165,212,229,192,165,136,117,96,224,255,255,255,255,255,222,226,228,234,236,237,240,244,247,235,212,203,182,152,167,205,191,172,148,125,105,138,255,255,255,255,255,255,223,226,228,233,236,238,241,243,247,222,201,189,159,143,176,189,164,159,132,118,97,217,255,255,255,255,255,255,222,225,229,231,237,241,236,242,248,210,200,176,154,158,182,182,161,149,130,102,161,255,255,255,255,255,255,255,227,231,234,237,242,248,235,254,249,215,207,176,161,176,194,167,155,128,113,112,240,255,255,255,255,255,255,255,179,187,195,202,208,208,219,255,252,223,221,178,171,190,180,151,138,116,89,183,255,255,255,255,255,255,255,255,117,120,122,123,126,114,177,254,230,222,221,182,174,186,171,138,119,105,96,148,174,175,182,182,187,195,199,211,131,133,132,129,132,115,189,251,216,204,200,174,166,183,168,121,112,98,103,124,124,125,125,135,158,175,177,192
1,104,87,75,69,70,61,29,66,90,103,116,123,127,135,138,141,144,148,150,152,155,157,159,161,162,164,164,164,106,86,78,69,74,55,33,71,92,105,127,132,107,130,139,143,147,150,152,154,157,159,160,163,165,166,165,166,107,85,83,70,80,49,38,75,95,112,133,145,95,112,131,126,148,152,154,157,158,161,164,166,167,167,168,168,107,86,85,70,85,43,44,78,114,139,111,147,108,107,135,96,134,154,156,158,160,163,166,168,168,169,169,169,107,87,88,71,87,38,49,80,123,146,105,146,120,109,145,98,111,156,158,160,163,166,168,169,170,171,171,171,104,88,88,73,89,33,54,83,123,153,110,141,134,111,150,116,97,153,160,162,166,168,170,171,172,172,172,173,102,91,89,76,87,31,60,86,121,157,111,143,154,119,140,129,93,143,162,165,167,168,171,172,174,173,174,174,101,94,89,80,82,29,68,106,117,163,125,140,160,123,140,149,103,126,164,166,168,170,173,174,174,175,175,175,99,96,87,84,77,29,94,140,112,166,137,128,155,125,138,159,115,110,164,166,168,171,174,175,176,176,176,177,98,98,85,89,70,31,103,140,107,161,139,118,154,130,125,156,124,104,162,168,170,172,175,176,177,177,178,178,98,100,82,94,63,35,103,141,103,154,142,111,158,140,117,159,132,101,158,169,171,174,176,177,177,179,180,180,99,102,81,98,55,38,103,150,106,151,151,105,148,146,113,162,138,100,151,170,172,174,176,177,178,180,181,181,101,104,81,103,48,43,101,161,115,136,157,107,120,143,100,146,141,98,142,172,173,175,177,178,179,180,181,181,104,106,81,105,41,47,93,155,116,117,157,111,111,139,111,145,141,97,126,173,173,175,177,178,179,181,181,181,106,105,83,104,36,52,88,150,129,105,147,133,130,134,143,150,121,92,107,171,174,175,177,179,180,180,181,180,108,104,85,100,31,56,85,152,138,105,143,148,130,122,139,147,110,79,90,163,175,176,178,179,180,181,181,181,110,102,89,98,29,59,84,148,138,138,143,146,146,138,163,167,120,76,71,148,175,176,178,180,181,182,182,182,114,102,94,93,27,63,85,151,154,153,131,133,139,142,162,159,127,92,68,127,176,177,179,181,182,182,183,183,117,101,101,91,28,64,87,160,162,139,120,116,125,133,141,146,144,117,80,101,173,178,180,181,182,182,183,183,121,100,107,85,28,65,85,153,157,127,109,118,126,140,161,161,160,143,105,88,164,177,178,179,180,181,181,182,124,97,112,76,29,64,79,136,153,124,108,120,128,147,173,175,167,156,122,93,159,175,176,176,178,179,180,180,124,95,117,67,29,64,77,112,153,132,113,114,133,148,173,182,164,148,117,96,160,173,175,176,178,178,183,202,123,93,120,63,40,68,77,94,144,138,121,113,130,147,171,178,160,138,106,89,157,171,173,175,176,175,184,208,123,94,120,99,81,92,98,102,130,147,132,117,122,142,166,172,155,132,101,85,142,152,154,156,157,161,155,158,122,94,122,105,63,66,68,69,85,138,138,128,121,134,158,163,143,124,96,78,90,92,94,94,118,153,154,148,120,96,124,102,64,66,68,70,71,102,138,135,128,126,142,150,132,115,90,78,86,87,86,95,147,157,152,144,117,97,124,100,64,66,68,69,70,74,117,138,133,122,121,131,120,102,84,80,84,85,85,126,162,157,149,142,112,94,124,96,62,64,66,67,69,69,91,137,129,114,109,112,107,95,77,80,83,83,91,152,162,153,144,139
4,201,201,201,201,201,201,200,200,199,197,197,195,196,197,195,194,194,190,190,189,188,188,187,187,185,183,181,181,202,202,202,202,202,202,201,201,201,199,199,200,200,198,195,192,194,196,189,189,189,189,188,188,186,185,182,181,204,204,204,203,203,202,202,202,202,201,190,177,181,194,196,171,143,162,198,193,194,194,188,188,187,185,183,183,206,206,204,204,204,203,204,204,203,203,195,188,175,155,156,169,160,124,163,182,159,172,192,187,188,186,185,184,206,205,205,205,205,206,204,205,197,196,193,186,182,176,137,116,151,155,123,118,125,104,161,195,187,187,187,185,207,206,206,206,206,206,205,201,189,189,178,149,111,158,144,94,119,154,124,92,118,109,114,196,187,188,187,186,208,208,207,208,207,207,206,202,202,191,181,157,106,123,146,100,102,135,108,91,130,127,98,179,192,188,187,186,208,208,207,207,207,206,208,202,163,134,160,175,123,118,152,143,128,127,97,101,138,129,97,176,195,188,187,187,209,209,209,208,208,208,207,209,175,121,87,182,159,132,152,170,171,131,128,129,128,147,112,174,194,189,187,187,209,209,210,209,209,209,209,201,159,114,68,123,160,117,120,136,161,138,131,134,129,141,107,140,201,189,189,187,210,210,211,212,209,208,210,191,156,139,128,99,100,109,99,93,114,142,134,129,126,123,114,110,197,191,189,189,211,211,212,212,210,209,210,194,181,162,129,103,90,106,103,107,99,112,125,120,117,134,131,96,177,196,191,190,212,212,212,212,211,210,211,200,183,152,123,99,97,103,107,125,119,97,84,124,162,157,139,100,147,200,189,188,213,213,214,213,213,211,211,202,170,138,112,94,96,106,125,129,128,126,136,145,159,162,149,120,118,199,190,188,214,214,215,213,214,211,211,201,175,152,122,101,106,114,126,139,137,155,177,177,155,178,169,134,102,189,193,189,216,215,215,215,215,213,210,205,185,158,128,104,103,114,137,151,156,164,177,185,178,161,156,130,90,180,195,189,214,214,215,215,216,214,210,201,188,165,138,107,103,120,140,154,169,176,184,180,168,157,134,112,93,190,195,191,214,214,215,215,216,214,208,196,194,176,149,122,107,108,138,164,175,188,190,178,159,145,126,86,129,204,191,192,215,215,215,215,216,215,206,191,194,181,155,134,117,106,139,176,185,194,187,171,151,137,113,84,182,198,193,192,215,215,214,215,215,216,206,188,186,179,158,139,122,114,140,184,186,187,177,160,142,129,94,124,207,193,195,194,215,215,216,216,217,218,207,186,182,181,168,144,130,123,148,185,181,175,165,149,133,117,86,177,202,195,194,193,215,216,217,217,217,218,211,184,183,185,172,149,139,127,155,180,176,170,155,134,123,93,115,207,197,198,195,194,216,216,217,217,217,218,217,193,186,189,177,157,142,124,152,174,170,163,144,122,110,82,177,206,199,199,197,194,217,218,217,217,218,218,219,198,194,192,175,161,146,126,142,167,159,148,127,114,80,132,211,199,199,198,196,195,217,217,217,218,219,219,217,204,199,188,175,165,151,133,135,150,143,129,115,91,97,202,203,200,199,198,196,195,218,218,218,218,218,219,216,206,200,185,173,160,148,138,130,136,132,117,102,76,179,209,201,201,200,199,197,196,219,219,219,218,218,219,211,204,196,186,177,170,160,152,136,129,127,113,81,130,214,202,203,201,199,199,198,196,219,219,219,219,218,218,203,204,197,188,178,176,162,155,140,126,120,101,85,188,210,205,203,201,200,199,197,196
11,168,171,173,176,178,180,182,183,183,184,184,183,183,184,184,184,183,183,183,181,180,179,179,177,175,173,172,171,170,172,175,178,179,182,183,184,185,185,185,186,185,187,187,184,184,184,183,183,182,180,179,178,177,175,174,175,172,175,177,179,181,183,185,187,188,187,187,187,192,167,179,189,185,185,184,183,182,182,181,179,179,176,178,157,174,177,179,182,183,186,187,189,190,190,191,184,211,160,147,196,186,187,186,185,184,185,183,181,180,179,179,104,177,180,181,184,187,188,189,191,192,192,193,186,219,168,134,198,188,190,189,188,187,186,184,183,180,187,149,79,179,183,184,187,189,191,191,193,194,195,195,189,228,159,132,200,191,191,190,189,189,188,186,184,183,188,118,82,181,184,186,190,192,194,195,196,197,200,193,200,246,149,143,203,193,194,193,191,190,189,188,187,188,184,104,88,183,187,190,192,194,196,197,196,198,191,206,196,224,146,157,207,195,196,196,194,193,192,191,191,190,190,127,98,185,189,192,194,196,199,194,218,209,138,190,168,126,167,133,187,203,198,198,197,196,194,194,193,190,197,148,99,188,190,193,195,199,196,217,240,217,177,123,150,115,136,120,162,210,199,199,199,198,195,196,196,194,198,170,96,189,193,196,198,198,211,251,201,205,205,136,126,122,146,128,167,210,201,202,201,200,200,199,197,197,196,195,117,191,195,198,198,204,244,225,164,160,200,135,118,116,147,129,171,213,203,204,203,203,203,200,199,199,196,199,157,192,196,199,196,230,244,192,157,174,186,107,123,115,140,124,181,214,207,206,206,205,204,202,202,200,198,200,178,194,197,201,198,241,233,178,134,154,159,103,125,112,135,117,197,213,208,208,207,207,205,203,202,202,200,202,171,196,199,203,198,244,237,195,150,111,114,126,108,118,133,126,215,210,211,208,207,209,208,207,207,204,202,203,192,197,199,203,203,253,236,187,140,106,92,137,101,143,138,105,201,219,211,214,214,207,200,195,193,204,208,203,201,197,201,203,210,255,233,185,146,116,98,110,96,143,130,88,126,208,210,197,176,164,157,154,143,135,180,208,201,200,204,203,216,255,229,189,156,125,109,111,112,128,130,128,126,134,147,150,164,170,154,133,130,113,150,213,202,201,205,205,216,254,226,189,158,131,113,116,150,173,173,162,153,137,143,159,155,136,123,149,190,199,202,207,205,203,207,207,218,254,228,196,164,137,117,126,170,170,161,155,152,138,129,123,133,167,191,216,218,214,210,207,207,204,208,208,224,252,232,204,167,147,126,139,165,164,156,143,139,118,112,161,213,222,220,215,213,212,211,208,207,205,211,205,236,254,233,203,166,149,132,139,151,155,147,131,114,136,198,226,220,216,216,216,215,214,212,210,208,207,208,211,253,246,220,187,155,139,132,140,139,144,138,111,161,224,226,220,221,219,218,217,215,216,214,212,210,208,208,245,254,234,209,176,149,135,135,139,131,125,116,172,232,223,221,222,222,221,219,218,217,216,215,213,211,204,219,255,243,221,201,172,153,140,134,132,115,144,205,232,225,223,223,222,222,221,220,219,219,216,215,214,212,203,232,255,238,199,173,164,152,137,129,110,137,226,232,226,226,226,225,224,224,222,221,220,220,218,217,215,213,207,243,254,231,180,153,147,142,128,116,120,213,231,226,229,228,226,226,224,224,223,221,221,219,219,218,215,214,220,251,250,219,160,147,142,133,120,108,185,238,230,231,230,229,227,227,225,224,224,223,222,221,219,218,217,215
3,202,205,205,205,205,206,207,206,207,206,206,207,205,204,202,200,198,188,199,194,194,193,190,189,185,183,181,179,207,209,209,209,209,209,210,211,210,210,212,211,209,208,206,205,212,136,173,206,198,196,195,194,190,188,185,183,210,213,213,214,214,215,215,215,215,215,216,217,215,213,211,211,202,113,136,217,200,201,199,199,196,193,190,186,216,218,219,218,219,219,220,221,222,220,219,219,219,219,216,215,200,111,113,218,206,206,204,202,200,197,194,191,221,222,222,224,225,225,225,226,226,225,224,224,222,222,220,220,199,105,104,222,210,210,208,207,204,201,198,195,225,226,227,226,228,230,229,228,229,228,228,227,227,226,225,223,199,114,99,220,214,212,211,210,208,205,201,198,229,230,231,231,231,232,232,233,233,233,233,231,232,230,227,229,211,124,92,220,219,216,214,212,211,208,206,202,232,234,235,235,235,237,236,236,236,236,235,236,235,234,232,230,206,106,92,227,222,219,217,216,215,212,210,207,235,237,238,238,238,239,238,237,237,237,238,239,238,238,236,228,192,126,101,214,228,222,221,219,218,215,213,209,237,238,238,241,241,242,242,241,241,241,242,243,241,241,239,232,209,161,96,194,236,225,225,223,221,219,215,211,238,241,241,242,242,244,245,244,244,245,245,245,244,242,242,233,214,159,80,178,242,226,226,226,223,221,218,214,242,243,243,243,243,244,246,246,245,245,246,246,244,246,243,239,227,160,85,143,250,225,229,228,226,223,220,217,245,244,245,246,245,245,247,249,248,247,248,249,251,241,220,204,195,192,131,168,220,243,230,229,227,225,222,218,246,246,245,247,248,249,250,250,250,250,252,251,241,231,219,156,101,170,185,222,130,202,244,231,230,228,225,220,247,247,248,250,250,251,251,251,252,254,245,222,160,176,221,156,96,114,189,187,97,63,166,243,230,229,227,223,249,249,251,251,253,253,253,252,255,245,231,211,148,111,175,189,127,91,155,166,107,70,74,227,237,230,228,226,250,250,251,253,254,254,253,255,253,234,215,184,178,152,128,199,144,81,87,122,125,80,67,211,243,232,231,228,251,252,252,253,255,254,254,255,248,223,181,129,157,160,106,154,160,87,73,99,147,97,57,198,247,233,231,230,250,252,252,253,255,255,255,255,253,222,200,127,85,133,62,102,152,72,77,96,155,140,59,168,251,233,234,231,250,251,252,253,255,255,255,255,255,227,188,154,114,89,62,96,106,51,88,148,174,159,67,172,253,235,236,232,251,252,253,253,254,255,255,255,255,227,202,195,149,100,99,126,112,99,184,195,174,116,91,236,241,237,234,229,252,253,254,254,255,255,255,255,255,237,193,194,163,125,114,144,201,209,221,176,139,72,164,255,232,233,237,240,250,251,252,254,255,255,255,255,255,248,189,191,168,133,117,127,210,208,187,148,99,71,222,250,248,248,221,175,255,255,255,255,255,255,255,255,255,255,201,165,158,133,124,121,184,187,161,119,63,142,255,223,193,148,88,60,204,210,215,220,227,232,238,241,244,251,231,158,156,147,142,116,148,163,134,79,88,182,126,83,57,47,47,54,117,119,120,121,122,127,127,128,128,126,143,187,156,153,133,104,104,104,74,58,89,73,47,43,51,44,43,39,129,128,129,130,128,128,136,132,133,128,154,216,191,156,117,97,96,95,65,66,68,58,61,38,43,36,32,33,128,129,129,130,130,130,139,136,139,134,175,199,197,166,137,123,108,93,62,64,59,54,47,46,29,31,26,31
12,195,196,197,199,201,201,202,203,203,203,203,204,204,205,206,205,205,206,206,205,205,205,206,205,205,204,203,203,197,199,200,200,201,202,203,205,204,205,205,205,205,206,206,207,207,208,208,207,207,207,207,206,206,205,205,204,199,200,201,202,203,203,204,206,206,206,206,207,208,212,209,200,205,208,209,208,208,208,208,208,207,207,207,206,200,202,203,204,205,206,206,207,206,213,218,208,205,228,219,183,170,210,212,194,202,208,208,209,209,208,208,208,201,202,204,206,207,208,207,207,212,243,238,206,188,235,223,174,129,198,213,174,162,208,211,210,210,209,210,209,202,203,205,207,208,209,208,206,218,253,243,203,183,237,223,182,127,201,202,163,127,192,214,211,211,210,210,210,203,205,207,208,208,210,209,210,221,244,239,207,178,238,221,189,150,211,194,147,113,170,217,212,213,212,212,213,205,207,208,208,209,209,220,234,208,205,227,223,167,225,232,182,163,217,198,143,105,157,217,214,214,213,213,213,205,207,209,210,210,212,243,241,202,166,194,197,146,199,214,151,164,220,177,128,100,150,216,215,215,215,215,214,207,209,210,211,210,224,253,245,216,163,167,159,111,128,143,129,170,189,136,108,103,147,219,217,217,216,215,214,209,210,211,211,211,235,249,245,222,180,145,144,106,94,106,183,213,196,156,144,137,155,221,218,218,217,216,215,210,211,213,213,213,240,232,236,227,193,151,112,122,118,183,241,241,221,189,179,162,161,221,219,219,217,217,217,210,212,213,213,217,249,244,220,219,197,158,115,114,167,249,251,242,223,197,173,150,145,219,221,220,218,218,218,212,214,215,214,227,254,246,214,206,199,171,135,113,222,255,251,241,223,197,165,138,143,220,222,222,220,219,220,213,215,217,215,228,255,250,230,197,190,196,173,150,248,254,251,241,221,187,159,133,142,221,222,223,222,221,221,213,215,217,217,223,254,252,233,205,183,183,197,216,254,252,250,240,215,185,157,133,131,218,225,223,223,222,221,215,216,217,217,225,254,253,241,225,214,194,225,243,254,248,246,239,211,188,152,128,130,219,226,224,223,223,223,216,217,218,218,228,255,254,249,238,231,215,226,237,253,244,239,232,213,182,147,120,149,226,226,226,225,225,225,216,217,219,220,226,254,255,252,244,233,221,225,227,247,239,229,222,210,170,136,116,190,229,226,227,226,226,225,217,218,220,222,224,250,255,253,245,229,217,224,226,240,232,221,216,198,155,121,136,223,229,227,227,227,227,227,218,219,221,224,223,242,255,250,241,223,212,219,224,235,230,218,205,178,137,112,188,231,229,228,228,227,228,227,220,221,222,224,221,236,247,231,222,213,207,214,219,231,222,205,186,155,115,143,227,231,231,229,228,229,229,228,206,197,187,179,165,160,158,141,134,132,127,129,123,124,119,114,112,105,94,180,232,232,232,231,230,230,231,230,157,148,141,137,121,110,107,101,91,84,78,75,63,60,61,57,55,55,57,84,135,215,232,231,230,230,229,229,151,138,138,131,120,111,106,100,91,83,79,72,62,60,58,56,52,50,49,47,57,198,232,230,230,229,228,228,171,137,138,132,120,112,103,98,90,82,78,70,62,60,60,57,52,48,48,43,120,230,231,231,230,229,229,229,189,140,137,128,120,112,102,96,88,81,76,69,62,61,60,57,51,46,46,47,186,237,233,233,231,231,232,231,199,142,135,129,121,112,104,95,88,79,73,69,63,61,59,56,51,46,47,60,210,236,235,235,233,232,232,232
18,70,73,76,80,84,90,95,101,107,114,120,125,129,132,134,136,139,143,144,147,150,152,154,156,158,159,160,162,70,73,77,81,86,91,95,100,108,115,121,126,131,132,134,137,141,144,145,148,150,152,154,156,158,159,161,163,71,74,78,81,86,92,95,101,109,116,121,127,132,133,135,137,142,145,147,150,152,154,156,157,159,160,163,164,72,75,78,82,86,92,96,102,111,117,123,128,133,135,136,138,141,145,147,151,154,156,158,160,159,161,164,165,72,75,78,82,88,93,97,103,111,119,125,129,133,136,138,140,149,144,134,144,156,154,151,159,163,163,164,166,72,75,78,82,89,94,97,104,111,120,127,129,139,141,132,144,174,137,111,108,157,160,128,118,157,165,166,167,73,75,79,81,88,94,99,107,113,121,126,131,179,149,114,148,168,142,134,139,176,159,122,93,105,161,167,168,73,76,79,82,89,95,99,106,112,126,125,155,199,153,122,159,164,146,152,158,158,136,127,112,83,132,171,170,75,77,79,83,90,96,100,105,132,165,129,133,185,156,142,138,146,138,141,143,128,122,133,125,101,102,169,172,75,78,80,84,90,95,100,105,183,187,146,116,155,171,145,117,115,128,114,112,98,135,141,134,120,90,134,176,76,78,81,84,91,96,97,121,201,191,167,137,122,175,148,116,98,149,110,77,84,153,150,149,137,107,92,151,76,78,81,84,91,96,95,142,176,181,180,152,104,137,152,118,84,139,132,89,58,132,153,164,151,119,93,94,76,79,81,86,92,97,96,152,148,146,166,133,93,92,128,102,73,96,105,78,73,135,169,177,155,125,102,84,77,78,81,87,92,97,96,172,168,138,145,96,79,64,89,83,57,57,66,104,167,178,167,164,147,123,107,92,76,79,81,85,92,95,100,185,175,148,145,86,71,52,75,76,45,39,110,184,190,176,164,145,127,113,103,88,76,79,82,85,92,95,114,198,175,145,132,93,70,46,71,70,50,97,187,203,194,173,153,131,109,98,93,94,77,79,81,86,92,95,113,212,193,167,150,122,94,80,81,81,108,178,206,204,189,162,142,120,99,90,85,126,77,79,82,87,92,95,110,213,204,183,165,140,121,122,116,127,175,203,205,197,175,148,129,111,94,85,88,159,76,79,82,87,92,97,109,212,211,190,167,146,135,138,139,162,195,200,196,181,158,137,119,103,91,81,111,178,76,79,82,87,93,98,106,207,210,191,170,155,150,147,154,178,193,196,183,162,147,128,110,101,91,80,144,182,77,80,82,88,93,98,104,191,210,195,179,168,162,159,166,179,184,183,164,144,133,117,103,94,87,97,173,182,78,80,83,89,95,99,103,167,209,201,194,181,167,160,163,167,167,163,148,132,120,107,96,90,82,135,182,181,78,80,84,90,96,99,105,141,206,205,205,190,171,155,145,145,147,144,138,121,107,99,92,83,93,169,182,182,78,80,84,91,94,100,108,119,191,203,197,188,171,150,136,131,136,134,131,115,100,95,90,76,128,180,182,183,77,79,84,90,95,99,110,115,158,196,178,172,161,144,132,129,131,134,132,117,102,95,85,80,160,181,182,185,77,80,84,90,95,99,109,117,131,183,173,156,145,131,130,133,121,125,128,116,100,92,78,98,176,180,182,185,77,80,85,90,94,100,111,120,124,164,160,144,143,135,143,145,122,117,126,116,99,91,73,113,182,180,182,184,75,79,84,89,93,100,110,119,124,151,166,151,154,144,142,143,124,110,120,115,99,87,70,107,182,182,183,184
8,176,176,176,176,177,176,176,177,177,178,177,176,176,176,176,176,175,175,176,175,175,174,172,172,172,175,161,83,176,177,178,178,178,178,178,179,179,177,176,178,177,178,179,178,177,177,177,176,176,176,174,174,175,173,173,133,178,180,180,179,180,180,179,179,181,183,140,171,183,180,181,181,180,179,179,178,178,177,175,175,175,174,175,114,179,181,181,181,181,181,181,179,185,183,120,167,185,181,181,181,181,181,180,180,179,178,178,177,176,177,170,127,181,181,182,181,181,181,183,179,192,169,108,177,185,182,182,183,182,182,182,181,180,180,180,179,178,178,175,153,182,182,183,183,183,182,183,181,200,154,107,188,184,184,183,185,184,182,183,183,181,180,181,180,179,179,176,177,182,182,184,184,184,185,183,186,203,146,119,191,184,185,186,186,184,184,184,183,182,182,182,181,180,180,178,178,183,184,185,186,185,186,184,193,198,125,138,193,185,190,187,186,189,185,185,185,183,184,181,182,182,180,180,178,185,186,186,185,187,187,183,197,189,122,143,199,170,167,189,181,175,189,189,190,187,185,185,182,183,181,181,182,186,187,187,186,187,187,185,201,186,129,148,216,172,129,166,177,132,151,171,168,180,149,154,189,183,184,183,182,187,187,187,187,188,188,187,203,187,134,181,219,190,143,139,172,147,105,124,138,172,126,116,193,184,185,184,182,187,187,188,187,189,188,191,201,184,143,204,220,201,156,118,167,145,123,160,139,186,128,112,194,184,184,184,184,188,188,188,188,189,187,196,191,179,168,191,217,206,162,108,159,132,152,171,141,189,154,118,190,186,185,186,185,188,188,188,188,189,190,195,170,183,186,167,197,208,166,105,137,133,166,155,139,183,173,135,159,194,186,187,185,187,188,188,188,188,194,194,150,178,175,163,182,210,172,106,106,137,171,144,114,178,174,130,120,196,185,187,186,187,187,188,188,186,197,194,140,148,161,145,161,204,168,99,92,133,164,129,109,182,162,109,142,196,187,187,186,187,187,188,189,187,203,206,140,129,134,129,129,187,176,109,85,137,177,119,132,173,130,103,184,188,186,186,186,188,188,188,188,190,210,211,156,118,131,124,126,165,185,138,70,132,148,117,156,136,96,136,195,185,187,186,186,188,188,189,188,193,210,211,172,114,121,124,120,153,162,112,102,169,153,164,165,113,96,183,190,187,187,187,187,188,188,189,189,196,210,210,180,115,123,132,123,170,177,155,181,180,160,150,155,104,112,197,187,189,189,187,187,187,187,188,187,197,211,212,182,119,131,130,146,194,199,200,188,174,162,131,127,94,138,199,187,190,190,188,187,192,194,195,193,198,208,209,174,132,145,129,181,205,202,201,191,174,151,123,99,99,186,192,190,190,189,189,188,142,144,147,143,181,214,207,178,153,149,132,188,208,210,200,186,166,138,111,85,141,200,192,192,187,185,188,190,96,96,98,86,147,218,205,188,159,156,140,180,214,213,187,173,153,121,101,90,115,124,122,133,158,186,195,192,106,105,107,98,130,214,203,187,160,159,143,179,216,200,176,157,135,107,97,90,94,116,147,180,192,191,193,189,105,104,106,98,128,211,193,175,157,155,145,191,205,183,163,135,118,95,96,141,166,192,199,198,200,193,182,182,104,104,109,97,145,207,185,172,159,153,156,187,185,173,145,120,113,80,143,220,203,179,173,178,184,194,190,180,104,103,107,96,163,204,181,171,162,156,162,176,172,163,132,116,108,104,177,181,202,198,175,166,172,174,170,174
1,43,46,52,57,72,96,113,120,124,131,139,145,150,153,163,162,165,168,169,170,173,175,176,176,177,179,179,179,43,47,53,59,76,98,115,123,127,136,143,148,153,171,144,167,170,168,170,171,172,175,176,176,176,177,177,177,45,50,55,62,80,103,120,127,132,143,147,149,171,206,97,134,158,172,172,173,174,174,176,176,176,176,177,177,46,51,57,62,83,107,124,132,138,146,162,154,160,216,92,108,115,144,185,178,178,177,178,178,177,179,177,177,48,52,59,64,86,111,128,135,145,147,203,166,115,216,90,113,133,97,193,184,185,185,184,183,181,182,180,180,49,55,60,65,90,116,133,139,150,152,208,175,104,197,89,105,147,73,182,193,191,191,191,191,187,188,186,185,51,55,61,70,96,119,135,141,154,155,214,178,89,189,113,105,155,76,172,205,197,197,198,197,194,194,192,191,52,57,63,73,101,124,139,146,160,167,201,182,79,155,112,108,175,88,159,215,203,206,204,202,200,199,197,196,52,58,63,76,105,129,143,145,180,176,167,184,76,126,111,91,168,87,154,222,209,210,211,209,207,205,204,203,55,60,64,80,110,133,147,144,213,166,152,180,76,147,127,88,195,111,151,229,214,216,216,215,213,212,212,210,55,61,65,82,114,137,150,150,223,142,145,199,87,138,127,89,206,131,143,233,220,222,222,220,219,218,217,215,58,63,65,86,119,141,152,160,226,131,125,198,79,93,110,89,199,135,130,239,224,225,225,224,224,223,221,220,61,66,68,90,122,145,155,168,232,140,91,182,89,93,108,134,175,119,122,242,229,231,231,230,228,226,226,225,61,65,69,94,126,149,159,173,241,154,62,201,189,140,142,163,142,84,108,241,233,235,234,232,231,230,231,230,60,64,69,98,130,153,162,177,236,142,113,163,148,131,136,125,120,118,86,228,241,237,238,238,236,234,233,233,61,64,70,101,133,156,164,186,242,175,161,114,103,132,136,105,133,167,122,162,254,239,242,242,241,241,240,239,62,64,72,105,136,161,165,200,252,186,141,99,119,110,145,163,191,207,189,110,195,255,242,244,242,242,244,244,62,65,74,110,140,165,166,214,255,178,123,96,120,133,185,245,205,208,214,119,93,242,249,248,246,247,245,243,62,65,76,114,145,169,169,219,255,179,115,107,130,151,214,248,254,217,163,91,78,219,255,248,247,248,255,255,63,65,79,119,149,172,174,215,255,190,116,113,139,174,224,242,248,209,139,84,84,239,254,253,255,255,216,147,64,64,82,121,152,175,176,211,255,206,135,112,150,185,234,251,237,192,134,79,103,255,255,252,176,97,39,15,63,64,85,125,156,178,181,209,255,228,162,118,155,182,241,253,217,176,127,73,128,255,234,94,16,11,20,18,61,62,87,128,157,178,183,204,243,232,180,131,149,184,242,241,209,163,117,62,174,229,68,30,32,0,23,22,59,60,87,129,160,177,182,200,224,230,191,150,153,181,235,227,197,149,106,69,119,51,3,23,46,0,0,32,59,60,90,132,164,181,186,202,213,226,201,167,164,161,221,208,184,132,95,67,51,34,26,0,30,24,0,11,51,53,87,133,166,184,190,205,216,220,203,173,168,146,191,189,161,114,85,56,63,41,23,0,0,38,0,0,75,75,100,136,164,181,189,204,218,218,203,180,170,149,153,175,144,103,70,49,63,44,13,2,0,17,14,0,114,115,113,110,116,125,130,135,137,155,215,187,175,152,134,156,132,93,54,42,57,28,26,0,0,0,25,0
12,185,185,187,189,189,192,192,192,191,191,191,191,191,190,190,189,189,188,187,187,187,186,185,185,183,182,182,181,186,186,187,189,191,192,193,193,193,194,193,193,192,191,192,192,192,189,189,188,187,187,186,185,184,183,184,183,187,187,188,191,193,193,193,194,194,195,194,196,193,192,181,168,180,190,183,184,193,189,188,185,185,185,186,185,188,188,190,192,193,194,195,195,195,195,195,196,194,188,158,121,96,172,152,118,124,183,191,188,186,186,186,186,188,189,192,193,193,194,195,196,196,197,194,193,195,170,138,109,93,156,133,107,56,130,178,182,191,187,187,186,189,191,192,194,195,195,196,197,196,196,185,150,178,170,152,88,128,172,137,106,91,145,130,94,141,192,187,186,191,192,192,194,197,197,196,197,198,203,186,139,161,200,156,82,167,187,138,111,125,132,115,80,62,144,193,188,192,193,193,196,196,198,198,197,206,215,191,147,141,188,129,77,186,184,122,114,168,149,117,83,62,80,192,189,193,194,194,196,197,200,200,197,212,202,185,141,95,99,95,60,123,136,81,129,195,151,130,77,49,70,188,190,194,195,196,196,199,200,199,204,221,198,161,124,93,37,33,80,127,145,124,166,198,145,101,55,47,75,191,189,194,195,196,198,199,199,203,215,199,186,140,111,86,34,97,182,189,180,167,180,143,98,75,72,55,80,196,192,195,196,198,199,200,198,215,217,185,153,139,152,89,123,197,196,183,174,158,166,164,113,111,102,70,111,198,192,195,197,199,199,201,202,226,213,189,166,139,160,151,210,205,188,178,181,162,163,159,123,95,92,61,160,197,192,196,199,200,200,202,206,227,218,202,194,168,170,191,201,203,184,186,175,154,162,143,106,78,67,60,188,194,193,197,199,201,202,202,208,226,222,209,196,183,174,186,188,193,183,182,167,160,155,125,88,69,51,85,201,194,193,198,200,202,203,203,208,225,223,208,189,174,173,176,184,190,182,178,162,155,131,99,73,62,41,120,204,195,194,198,199,201,202,202,207,223,220,196,175,169,177,177,189,193,181,169,155,133,102,78,64,56,36,153,204,198,195,198,201,203,203,204,207,209,202,191,187,184,180,179,198,187,170,150,139,116,87,72,59,43,67,193,200,198,195,199,201,202,205,205,211,219,220,214,205,192,176,176,196,175,150,130,121,96,78,67,44,54,169,202,199,198,198,200,201,203,205,205,219,225,221,212,199,186,174,172,186,163,134,117,101,83,69,46,72,170,204,199,199,198,199,200,202,203,204,207,225,224,219,207,189,177,174,176,171,148,124,104,86,62,57,123,192,206,202,200,201,201,200,200,202,203,202,210,226,219,210,200,186,172,172,175,161,138,111,82,57,68,166,207,203,202,202,201,201,200,198,203,202,203,199,218,216,208,196,194,183,164,168,164,142,123,102,66,57,168,207,204,203,201,201,201,200,199,196,161,196,205,204,215,199,193,185,183,173,171,167,156,129,105,86,56,137,205,203,204,203,202,201,201,200,199,198,73,78,136,217,205,184,175,172,173,180,171,157,147,118,94,69,72,191,207,206,204,203,202,201,201,200,199,199,77,66,64,161,187,171,161,167,177,180,158,144,135,107,83,51,117,209,208,206,205,203,202,202,201,200,201,200,71,72,72,61,77,90,87,96,114,130,127,126,119,94,70,48,167,211,206,207,206,204,203,202,201,200,201,199,69,67,71,59,12,29,36,34,32,33,39,56,74,72,48,78,194,208,207,206,206,205,203,201,200,200,200,199
4,160,163,165,168,170,173,176,177,176,179,180,180,181,183,183,183,182,183,182,180,181,181,180,180,180,179,178,178,161,164,165,170,171,174,176,177,178,180,181,182,182,185,185,183,184,185,184,181,183,181,180,180,181,181,180,179,162,165,167,170,171,174,176,178,180,181,183,183,183,184,186,187,184,184,186,184,183,183,182,182,182,181,180,178,163,167,169,172,174,176,177,179,182,181,183,184,182,193,181,171,188,189,176,187,186,184,184,184,182,181,180,180,165,168,170,173,175,178,180,180,182,182,185,179,205,211,178,141,183,199,155,149,189,188,186,185,184,182,182,181,165,169,173,173,176,178,181,183,178,214,216,176,188,225,179,146,202,197,165,105,171,172,177,189,185,184,182,182,166,171,172,176,178,179,183,181,189,246,244,197,138,220,184,142,224,202,142,132,194,140,115,181,187,183,184,184,169,172,173,178,180,179,185,177,212,236,236,183,130,213,186,148,214,189,170,194,158,130,86,137,194,184,186,185,169,171,175,179,181,183,184,182,231,207,223,165,114,186,196,198,197,219,247,208,130,96,85,125,196,187,188,187,169,174,177,179,182,185,183,192,235,195,207,178,94,166,180,202,218,230,221,201,163,102,70,139,198,187,188,187,171,174,178,179,182,186,180,222,231,188,181,181,84,151,148,119,176,200,187,204,179,123,71,154,198,188,189,188,170,174,178,181,183,183,190,240,202,168,159,125,85,155,150,87,186,152,169,221,189,140,90,177,195,190,190,189,172,176,179,182,185,179,206,243,190,153,146,129,113,131,128,99,179,117,139,248,208,159,102,182,196,191,191,191,173,177,179,182,187,178,223,245,192,151,131,113,117,122,122,135,147,155,171,237,221,169,101,140,202,191,193,191,173,177,180,183,188,180,238,242,192,148,127,114,122,120,148,173,187,221,217,205,204,163,121,107,197,194,194,193,175,178,182,185,187,185,247,240,186,143,144,128,119,111,163,197,221,217,212,193,157,167,131,113,196,194,194,194,174,177,182,185,185,194,255,236,182,159,170,140,121,158,215,230,221,217,198,170,134,140,108,140,203,193,194,194,171,176,179,184,183,198,255,234,196,197,184,144,185,232,246,234,219,208,181,151,127,110,101,180,198,195,194,193,174,177,180,185,183,202,255,242,221,211,194,155,218,240,246,242,203,190,165,144,122,93,137,203,194,197,195,194,174,177,182,186,184,202,255,249,229,205,199,167,223,246,243,228,186,168,153,138,112,99,188,200,197,198,195,195,175,178,181,187,186,193,254,248,231,207,192,183,225,241,224,205,174,152,145,126,92,144,206,196,198,197,197,195,176,179,183,186,188,189,246,238,221,212,194,189,210,219,200,178,159,153,141,104,103,196,202,199,198,197,196,195,175,177,183,186,188,189,241,224,211,217,203,189,201,209,191,167,146,146,129,90,162,206,198,199,198,196,194,193,174,179,182,187,190,188,235,213,210,214,197,174,197,212,187,153,131,133,108,132,207,202,203,200,199,199,198,197,170,173,175,178,184,179,231,222,215,205,193,173,186,211,172,133,122,118,109,179,191,187,189,186,185,185,186,179,114,114,115,114,117,107,224,238,226,210,196,177,175,204,161,125,116,107,99,107,106,105,105,103,104,107,96,113,101,103,103,102,108,91,211,254,231,215,207,183,160,201,169,124,106,100,98,95,95,95,94,93,94,85,131,212,110,110,111,112,116,98,194,255,228,208,204,183,149,193,170,118,103,97,101,103,101,100,101,102,91,145,231,221
18,52,57,62,67,76,82,89,96,100,101,102,105,110,113,116,118,123,124,125,126,127,128,130,131,132,133,134,138,54,59,62,68,76,84,90,96,100,102,105,104,111,110,114,121,119,121,128,129,128,130,130,132,132,133,136,138,56,60,63,69,76,84,92,95,98,105,99,120,132,86,71,104,137,111,84,122,134,130,132,133,134,136,137,138,55,60,65,72,81,86,89,100,135,94,78,143,126,101,85,128,153,105,67,52,121,135,133,134,137,139,139,140,55,61,64,73,78,87,82,150,156,95,85,155,112,120,125,136,117,94,92,53,60,141,132,135,137,139,141,142,57,62,64,69,93,111,78,158,146,110,103,130,113,111,112,113,85,99,97,87,42,112,140,137,139,140,141,143,58,62,67,68,163,131,86,85,160,118,111,73,103,82,88,76,75,115,104,99,69,57,142,139,140,141,143,144,59,64,56,106,184,141,120,76,133,142,105,55,106,97,56,23,102,126,118,114,96,49,83,149,140,143,145,147,58,65,56,137,155,154,143,97,75,144,108,62,73,132,84,20,60,119,124,134,103,76,42,109,150,142,143,146,59,64,60,138,102,145,136,97,44,97,102,60,38,92,74,20,44,125,148,141,107,80,60,54,146,142,145,146,59,62,67,154,96,107,97,61,36,46,64,46,18,41,23,93,155,143,133,129,105,83,65,52,140,148,147,148,60,59,74,170,128,124,92,44,29,25,45,37,0,7,107,171,150,138,124,103,88,75,57,70,150,146,147,149,61,56,94,168,121,108,90,51,20,16,52,32,0,89,181,167,152,131,113,85,67,64,47,103,154,147,149,150,63,52,108,189,143,123,100,67,35,33,43,31,76,170,172,169,149,120,101,78,61,53,49,137,149,148,150,150,62,53,100,199,158,145,129,102,84,86,76,93,156,173,173,157,133,108,87,70,57,42,76,153,146,150,150,152,62,57,95,200,168,151,127,106,101,105,101,141,172,169,164,141,119,98,80,64,55,40,112,153,148,151,152,153,63,59,90,197,171,151,131,118,118,114,125,154,165,163,142,125,109,89,73,63,53,49,141,149,150,152,152,153,62,62,79,187,174,156,139,132,128,127,139,151,154,150,121,108,94,80,65,60,42,79,152,146,149,152,153,153,61,66,66,166,178,165,155,142,131,129,134,140,134,131,111,95,83,72,62,58,41,127,151,147,148,152,153,154,60,68,64,134,184,174,171,155,133,120,109,117,114,112,103,82,71,64,59,41,74,152,147,149,150,153,154,154,62,67,70,96,180,169,168,158,132,111,100,100,105,107,98,77,66,61,56,33,117,151,147,149,151,152,154,155,62,68,76,75,149,161,143,139,126,106,96,96,98,104,101,81,68,63,43,53,146,145,148,150,153,153,154,156,61,66,77,78,106,162,135,122,109,93,96,100,85,97,98,79,63,61,32,84,152,145,149,151,153,154,155,156,60,65,78,86,88,143,121,109,107,99,116,112,84,89,96,79,61,57,30,102,153,146,149,152,152,155,155,156,59,67,78,87,85,124,126,117,124,111,110,112,86,78,90,79,64,55,24,89,157,146,150,152,153,155,155,156,56,66,76,85,86,110,147,132,128,111,102,108,89,71,81,75,62,57,29,64,153,145,149,151,152,154,155,155,57,66,75,84,90,98,162,148,134,115,100,104,94,72,68,72,64,56,39,39,146,146,149,151,152,153,154,155,57,66,74,84,92,94,160,158,134,114,96,99,98,69,64,72,62,54,44,32,133,148,150,151,152,154,154,155
18,174,175,175,177,178,178,177,178,178,176,174,174,174,173,172,171,172,171,170,169,168,167,165,164,163,162,160,159,175,176,177,178,178,179,179,179,179,179,177,176,175,175,175,176,175,172,172,171,169,167,166,165,163,162,160,159,177,177,177,179,178,179,181,181,180,178,180,180,183,181,179,174,168,178,174,175,176,174,166,166,166,165,163,161,178,178,180,180,180,181,182,182,181,180,180,148,123,166,175,134,103,124,181,161,137,148,172,167,166,166,165,164,179,180,180,181,182,183,183,184,183,189,180,135,100,91,145,138,101,70,120,131,103,80,132,178,167,166,165,164,180,181,181,181,183,184,186,163,134,153,179,143,123,89,121,168,107,94,66,119,112,78,67,168,170,168,166,165,181,183,184,185,184,184,192,162,132,110,137,168,123,101,97,166,110,102,98,94,106,94,55,143,176,168,167,166,182,184,184,186,187,186,191,176,154,137,101,149,142,105,79,125,130,116,112,102,121,107,58,143,177,170,168,167,182,184,185,187,186,193,176,175,166,141,116,100,141,111,85,96,139,127,115,114,118,103,57,148,180,170,170,169,183,185,187,188,186,195,179,138,152,139,107,65,127,119,84,77,128,119,115,110,107,100,54,133,183,171,170,169,185,186,187,189,186,193,167,95,123,137,77,54,103,98,66,64,107,77,99,131,127,105,62,115,186,172,171,170,185,187,188,189,187,196,167,128,120,130,72,57,84,76,57,53,82,58,81,167,141,113,72,96,187,173,173,172,186,188,188,189,189,197,179,158,115,123,93,64,81,86,59,51,78,57,54,144,146,119,84,74,180,177,175,172,188,188,188,189,191,197,182,149,118,99,85,56,84,96,56,49,66,103,140,146,166,135,97,58,161,182,175,174,188,189,189,190,192,196,160,127,107,87,68,55,66,64,54,64,100,160,168,151,154,139,99,54,145,187,175,175,188,189,191,193,193,194,175,149,126,105,84,81,73,77,99,127,161,173,166,162,133,122,89,50,151,186,176,175,190,191,193,194,192,196,185,159,133,103,82,81,92,109,134,158,179,176,158,147,125,96,74,61,175,181,178,178,191,192,193,194,193,195,187,165,138,110,93,91,95,111,155,176,186,174,149,133,115,89,53,94,191,178,180,178,191,192,193,194,195,193,187,173,147,124,104,102,93,126,172,183,181,165,143,125,109,81,43,145,190,179,179,177,192,193,194,195,195,191,184,171,148,129,112,109,99,136,181,176,169,157,137,117,102,70,60,182,183,180,180,179,193,195,196,197,197,190,175,162,146,132,119,117,105,140,177,167,160,147,131,109,93,53,99,195,180,182,181,179,193,195,196,196,198,194,173,164,153,136,125,129,110,143,167,164,151,131,118,101,82,43,149,193,181,182,181,179,195,196,196,196,198,199,179,163,154,142,134,132,112,145,162,157,147,124,106,90,62,66,189,185,184,182,182,180,194,197,197,197,198,202,189,162,158,150,138,126,110,131,156,147,135,115,93,80,40,126,198,185,185,184,183,181,195,197,197,198,197,200,196,177,163,151,139,129,114,118,142,138,121,101,84,59,60,188,188,187,186,185,183,181,195,195,196,198,199,201,199,186,170,157,144,134,122,115,131,129,110,93,78,36,129,200,186,187,187,185,184,181,195,196,196,197,199,200,200,194,178,154,138,129,125,122,125,123,106,90,59,65,191,190,189,188,187,186,184,181,196,197,198,198,199,201,198,194,179,156,149,147,142,135,120,118,100,82,44,127,202,188,189,188,188,186,184,182
2,184,187,189,190,190,191,192,193,193,192,192,192,191,191,191,191,190,191,192,189,185,184,183,182,181,180,179,177,187,188,190,191,191,193,193,194,194,194,194,194,196,196,195,193,191,187,179,186,193,187,185,183,182,180,180,178,188,189,191,191,192,193,194,195,195,195,196,185,165,166,172,170,161,155,141,124,154,184,190,187,183,182,181,179,188,190,193,194,193,194,195,196,195,196,196,178,158,156,160,162,155,144,137,116,101,131,154,171,187,183,183,181,189,192,193,194,195,195,197,197,197,199,187,169,172,170,170,167,157,137,119,124,127,123,127,135,188,183,183,181,189,192,193,195,196,196,197,197,198,195,171,164,175,176,168,160,156,138,129,135,147,145,118,126,189,185,183,182,190,192,194,195,196,196,197,198,199,192,178,172,166,155,145,163,171,119,104,120,128,122,115,165,191,185,184,183,192,193,195,196,197,198,198,199,200,193,173,173,167,155,147,145,123,135,178,158,141,147,186,193,186,186,185,184,192,194,194,196,197,199,200,200,199,191,188,178,161,144,123,119,137,189,202,200,199,197,192,191,193,193,189,184,193,194,194,196,199,200,200,199,183,183,180,163,136,91,140,198,202,200,196,194,194,192,196,181,151,138,171,188,193,194,196,197,198,199,201,197,177,175,162,138,99,67,145,211,198,200,199,196,195,197,182,131,106,100,125,190,193,195,197,199,199,201,200,191,171,161,135,98,84,81,136,209,198,201,199,196,199,185,139,113,109,104,122,192,194,197,197,198,200,201,196,190,178,154,106,80,90,84,148,209,198,201,198,200,189,140,118,118,110,95,158,193,195,196,198,198,200,201,196,192,177,153,109,82,92,84,135,215,199,199,201,202,147,105,106,111,99,120,194,187,195,196,199,200,200,201,198,192,174,148,103,85,93,87,86,168,205,206,201,162,119,95,97,100,97,178,193,187,195,197,199,201,201,201,195,190,174,139,100,96,93,88,89,89,126,173,142,113,109,110,97,96,168,197,189,189,195,197,199,201,202,201,195,191,173,138,112,103,92,91,94,97,95,101,97,98,107,105,101,174,200,193,191,189,195,197,200,201,203,201,194,188,172,146,117,101,91,91,92,98,103,106,100,102,108,97,171,201,193,194,192,189,194,197,200,201,202,201,190,183,173,144,120,106,89,90,92,97,102,107,106,101,90,148,207,194,195,193,192,189,194,197,200,201,203,200,187,181,169,143,128,105,87,90,94,97,102,108,112,97,108,197,199,196,194,193,192,190,195,197,200,201,203,199,187,181,165,146,126,104,90,90,95,99,103,107,109,93,174,205,197,197,195,194,193,192,195,198,200,201,203,198,184,186,175,146,124,110,90,89,96,101,105,110,98,111,205,200,200,198,196,195,193,192,195,197,199,201,204,194,183,193,179,145,123,110,92,88,98,102,107,109,85,161,208,198,198,197,196,194,192,191,194,196,198,199,202,191,186,193,172,142,122,112,95,85,99,104,106,91,113,204,199,198,197,196,194,193,191,191,193,195,196,198,201,189,187,187,166,137,121,113,97,87,98,103,96,89,183,204,198,197,196,195,194,193,190,190,193,195,196,197,201,188,185,180,159,135,123,112,98,88,97,97,83,164,207,197,199,197,195,194,194,192,190,189,193,194,195,197,199,186,181,170,150,133,120,109,96,89,90,90,159,208,199,200,198,197,195,195,194,191,190,189,191,193,195,197,197,185,174,164,145,128,118,107,98,86,96,179,207,199,200,199,197,195,194,192,192,191,189,188
10,117,124,128,130,136,142,148,152,155,159,162,165,168,170,172,174,176,177,178,179,178,178,180,181,180,180,179,178,120,126,130,133,138,144,150,155,158,161,164,167,170,171,174,177,179,180,180,185,192,166,182,183,183,182,182,181,120,128,131,133,140,146,152,156,160,163,165,169,172,173,177,179,180,180,180,204,206,147,181,185,185,185,184,183,121,128,131,135,142,148,153,157,161,164,168,170,174,176,179,182,183,183,183,212,214,148,179,187,187,187,186,186,124,130,133,137,143,150,155,159,163,166,169,172,176,179,181,184,185,186,186,208,225,161,173,189,188,189,189,189,125,132,134,138,145,151,157,160,164,168,171,175,178,180,182,184,186,188,189,205,241,184,164,192,192,192,191,191,127,133,136,140,147,153,158,163,168,171,174,178,180,182,184,186,188,189,191,204,246,199,152,194,194,194,193,194,129,135,137,142,149,155,160,165,170,173,176,180,182,184,186,188,189,191,193,201,247,207,146,196,196,195,195,195,130,136,138,143,150,157,162,167,171,174,177,181,183,186,196,196,164,190,195,200,247,209,142,193,198,197,197,197,132,138,141,145,152,158,163,167,172,180,179,176,181,186,209,206,145,159,196,203,247,213,143,189,200,200,201,200,133,139,142,146,154,160,164,169,173,205,172,131,128,140,178,207,187,163,183,206,241,209,149,178,201,202,202,201,134,139,143,148,156,162,166,171,175,188,156,123,116,119,126,189,224,191,147,205,218,202,159,164,203,203,203,204,135,141,144,150,157,163,168,173,177,181,172,152,141,134,130,143,209,198,143,168,176,183,162,152,206,206,205,205,137,143,146,152,159,165,171,175,180,183,186,188,209,199,124,113,194,219,174,123,126,146,152,135,203,207,207,207,139,143,148,153,160,167,172,176,182,185,188,201,242,201,107,98,156,235,199,137,106,122,135,124,193,208,208,208,139,144,149,154,161,167,173,178,182,187,189,227,251,201,115,111,113,234,220,170,118,111,130,124,185,209,209,209,141,146,149,155,162,169,174,179,185,189,190,224,245,223,136,89,125,229,234,192,136,108,125,124,187,213,212,212,142,147,149,156,164,170,176,180,186,189,192,202,232,235,169,124,145,230,235,191,142,114,119,120,192,215,214,213,143,147,151,158,165,172,177,182,187,190,193,196,215,221,167,155,162,235,232,203,157,122,118,117,197,215,215,216,144,149,152,159,167,172,178,183,188,192,195,198,200,218,209,182,195,244,231,211,175,135,118,115,202,216,217,217,146,150,153,160,167,173,179,184,189,192,197,200,202,230,248,225,224,250,235,207,179,145,123,113,204,217,218,218,145,149,153,160,167,173,179,184,189,193,196,201,204,223,253,241,240,251,234,206,181,152,129,114,206,218,220,220,145,149,152,159,167,172,178,183,188,192,197,200,203,213,253,252,244,250,232,206,178,159,135,116,206,218,219,219,146,150,153,161,169,175,180,185,189,193,198,201,204,211,251,254,250,250,230,207,184,164,138,114,206,219,221,220,146,150,154,161,169,175,181,186,191,195,199,202,205,208,243,254,253,249,228,213,191,163,136,115,213,220,221,222,147,150,156,163,171,176,182,187,191,196,199,203,206,209,232,253,245,240,225,222,199,160,131,120,219,221,223,224,146,151,155,162,170,175,182,188,193,197,201,204,207,209,219,246,233,229,228,223,208,161,125,121,216,222,224,224,143,148,153,160,168,173,180,187,191,196,200,203,205,176,123,212,225,237,236,223,212,159,115,79,92,184,225,224
18,168,171,174,174,176,177,180,181,181,182,184,186,187,187,188,190,190,191,191,193,193,193,194,192,191,192,192,192,170,171,175,176,177,179,181,182,183,184,185,186,187,188,189,191,192,191,191,192,194,194,195,195,194,193,192,193,171,173,175,177,179,180,181,183,183,185,186,186,186,188,189,194,196,191,191,192,192,193,196,196,196,194,193,193,172,173,178,178,179,181,181,184,185,186,187,187,189,189,191,179,174,198,192,195,195,194,197,196,196,196,195,195,172,174,179,178,179,181,182,183,185,188,188,190,194,190,203,176,125,162,200,194,195,198,195,194,196,196,197,197,172,174,178,179,179,180,183,184,185,188,190,182,166,189,195,189,130,84,174,198,175,163,190,198,197,197,195,196,172,173,177,179,180,181,185,187,187,191,205,184,141,144,200,172,146,98,113,156,148,130,133,206,196,198,197,197,172,174,177,179,180,181,183,183,176,206,207,184,149,125,217,190,175,138,100,106,132,127,89,184,201,197,198,196,173,175,178,180,180,180,198,187,139,183,210,177,145,144,215,214,195,148,105,90,116,116,80,153,209,197,199,198,174,176,179,182,178,195,219,187,135,167,211,177,135,163,204,207,192,148,101,77,95,107,75,155,210,197,199,199,176,177,178,181,178,203,221,188,136,154,211,181,124,178,205,205,188,145,99,67,82,93,75,173,207,198,200,200,177,179,179,181,182,193,211,191,139,142,210,179,111,143,189,214,184,138,95,68,74,77,90,192,204,198,201,199,176,179,181,177,189,207,190,188,150,124,188,165,109,69,157,221,175,133,89,71,67,67,117,209,199,201,201,203,176,178,181,183,196,187,166,157,142,90,133,133,96,27,175,224,173,125,85,71,73,71,133,212,197,202,202,204,177,178,178,193,209,172,158,128,108,77,104,119,64,79,223,207,168,128,89,65,73,71,149,213,200,203,203,203,178,181,178,195,218,186,162,136,131,79,104,120,138,207,223,197,162,128,92,76,78,81,187,207,202,204,204,204,179,182,175,208,215,183,162,141,132,112,117,174,236,208,193,187,156,118,88,79,67,106,211,200,203,203,203,202,180,179,180,223,207,183,163,145,142,143,165,235,229,200,172,172,145,105,85,83,77,173,208,201,201,202,201,200,181,178,190,228,201,183,173,154,151,146,215,238,221,192,157,157,134,93,88,77,154,210,201,203,202,203,202,200,181,177,199,227,200,192,183,154,157,191,236,228,208,183,149,142,123,91,77,126,212,201,203,203,204,203,203,202,181,178,201,228,203,197,187,157,179,221,224,218,201,168,141,131,111,83,89,196,205,203,203,203,204,204,204,204,182,180,195,224,207,201,187,167,192,221,212,198,195,156,134,120,100,72,151,212,202,204,203,204,204,204,204,204,182,180,193,224,209,199,184,180,191,216,198,190,171,152,122,111,88,95,205,203,204,204,204,205,206,204,203,204,183,178,198,220,201,191,181,185,190,205,184,186,155,145,112,102,72,142,216,202,205,205,205,206,206,205,203,202,182,177,204,205,187,184,178,184,194,193,172,185,166,128,107,94,76,185,207,203,204,205,205,206,206,206,204,203,182,179,206,185,177,181,179,181,194,185,172,184,165,121,101,78,119,214,200,205,205,205,205,206,206,205,204,204,181,179,216,199,188,189,192,190,199,178,168,173,148,115,91,87,191,206,204,206,206,205,206,206,207,205,204,206,179,182,226,209,190,194,200,195,202,161,159,158,130,106,78,159,213,203,205,206,206,207,207,207,207,206,206,206
5,138,139,138,140,141,142,143,143,144,144,145,145,143,145,149,145,145,145,143,143,142,140,139,138,138,136,135,134,141,141,142,143,145,146,147,146,147,148,149,148,149,147,131,147,147,147,147,146,145,144,142,141,140,139,139,137,146,146,147,147,149,150,151,150,152,153,153,156,152,162,91,130,156,150,151,150,148,147,147,145,145,143,142,139,149,150,151,152,152,153,153,154,156,157,154,126,143,177,96,107,165,154,154,153,152,152,151,149,148,147,146,144,152,154,155,156,157,158,157,159,160,157,167,110,108,186,96,89,171,156,158,156,155,154,154,153,152,150,149,147,156,156,159,158,160,163,163,162,164,160,178,126,93,185,91,88,175,160,161,160,159,157,156,156,156,154,152,150,160,158,161,163,164,164,160,164,166,163,183,132,81,182,104,96,177,163,165,165,162,161,160,159,159,157,155,154,162,163,164,167,166,171,132,129,176,164,185,140,81,178,97,103,180,166,169,169,173,166,163,163,162,160,158,157,166,167,168,169,168,178,140,94,177,166,187,144,73,171,84,109,182,169,170,161,135,163,168,165,163,163,162,161,168,170,170,171,170,182,160,74,174,172,184,139,58,173,106,111,184,169,175,166,109,121,180,168,167,167,165,164,169,171,172,172,174,179,161,72,171,176,178,155,63,152,121,112,184,165,156,143,165,125,148,172,170,169,168,166,172,173,174,175,178,179,183,83,151,182,173,168,65,115,127,120,179,172,129,55,146,141,102,174,174,171,169,169,175,175,177,178,178,180,189,118,118,186,175,171,68,102,127,121,171,170,120,112,166,109,128,183,175,173,171,169,177,178,178,178,180,179,174,179,135,146,168,155,100,117,113,100,145,145,114,175,160,86,171,178,176,175,173,172,177,180,180,181,182,184,167,186,170,131,133,131,108,111,104,101,147,139,126,184,129,80,187,177,179,177,176,176,180,183,183,183,183,186,180,182,194,153,124,122,96,101,102,103,143,135,144,192,97,84,195,180,180,180,179,178,181,183,184,186,186,186,187,184,211,176,111,106,87,84,98,108,139,128,147,197,94,109,198,180,182,181,180,179,182,183,185,186,186,186,187,188,212,184,115,79,82,80,94,126,146,116,140,195,102,123,198,182,184,184,182,179,184,185,186,187,188,188,187,188,209,180,124,79,81,80,116,136,160,162,133,180,105,128,198,183,185,185,184,181,185,186,187,188,191,191,190,186,206,176,127,83,74,93,130,149,175,180,142,142,83,125,201,185,186,185,183,183,185,186,188,190,191,191,193,184,204,179,135,84,75,103,146,170,172,172,145,96,48,114,203,187,188,186,185,184,187,189,190,192,192,193,195,186,199,181,136,89,77,102,159,183,179,159,118,67,34,151,199,189,191,189,186,186,188,191,191,192,193,194,196,187,188,179,133,92,85,99,171,187,165,136,99,41,100,203,191,193,192,190,187,186,190,191,192,192,193,195,197,183,174,177,132,104,93,98,167,169,147,120,73,57,189,199,192,193,193,191,188,187,189,190,191,193,193,195,199,185,169,168,125,117,93,99,150,154,138,102,37,132,209,195,195,194,193,192,190,187,188,189,190,192,193,193,196,188,165,158,127,118,86,95,138,140,116,51,73,202,197,197,194,195,194,192,191,190,187,189,191,193,192,194,198,186,172,162,129,115,93,79,119,104,65,51,179,201,195,196,194,194,193,192,191,189,189,191,192,193,193,194,199,181,176,153,109,105,92,72,96,68,38,149,209,195,199,196,195,196,193,192,190,189
21,152,155,158,161,163,164,165,167,168,169,169,170,170,169,168,168,167,166,165,165,163,163,162,161,160,159,158,157,153,156,159,162,164,165,167,168,170,170,171,171,171,171,170,167,158,162,166,166,165,164,164,163,161,160,159,159,154,157,160,163,165,166,168,170,171,172,173,173,173,172,174,167,130,142,166,168,167,166,165,164,163,161,161,160,156,158,162,164,166,167,169,171,173,174,174,174,174,173,177,165,118,135,168,169,169,167,167,166,165,163,162,162,157,160,163,166,167,169,171,173,174,175,175,175,175,175,180,161,118,139,170,171,170,165,159,164,167,165,164,164,158,161,164,166,169,171,172,174,175,176,176,177,178,177,184,160,119,145,172,172,168,151,128,147,167,167,166,166,160,162,165,168,170,172,173,174,176,177,178,179,179,180,186,158,122,152,174,172,164,140,111,139,168,168,168,167,161,164,167,169,172,173,174,176,177,179,180,180,180,182,186,154,121,155,175,172,160,134,114,152,169,169,168,167,161,165,167,170,172,174,176,178,179,180,180,180,180,185,185,150,118,156,176,170,156,127,124,163,171,170,169,169,163,166,169,171,173,175,177,179,179,180,180,180,180,189,185,144,118,160,174,165,149,121,141,171,172,172,171,170,164,167,170,173,174,176,178,180,181,181,178,173,175,190,179,135,123,167,170,159,136,119,157,174,174,173,172,171,165,168,171,173,175,178,179,181,182,184,175,148,143,165,153,118,125,170,168,154,123,129,170,176,175,175,174,173,166,168,172,174,176,179,180,181,183,185,177,148,123,118,108,97,127,167,165,143,117,150,177,177,176,175,174,173,166,169,172,175,178,180,181,182,186,189,184,174,150,120,92,89,121,148,148,124,123,167,179,178,177,176,175,174,167,170,174,176,179,181,183,184,189,191,191,196,176,135,96,87,101,115,118,109,142,177,180,179,178,177,177,176,168,171,174,177,180,182,184,187,183,169,179,182,170,133,98,86,89,95,97,112,162,182,182,181,180,179,178,178,168,171,175,178,181,183,185,191,175,150,155,143,155,140,108,88,82,86,91,129,177,184,183,183,181,180,179,179,170,173,176,179,182,184,187,194,178,147,123,105,139,152,121,94,81,82,93,148,184,185,184,183,182,181,181,180,171,174,177,180,182,184,189,193,167,136,114,100,134,163,135,106,88,83,96,157,186,187,186,184,183,183,182,181,171,174,178,181,183,185,194,194,166,146,131,125,163,176,147,122,98,87,97,160,189,189,187,186,184,183,183,182,171,175,178,181,183,186,198,197,174,154,140,162,196,181,149,130,105,92,103,164,190,189,189,188,186,184,184,183,172,175,179,181,184,188,202,203,181,153,153,194,200,171,143,128,108,96,111,170,190,190,189,188,187,186,185,183,172,176,179,182,185,189,205,207,178,156,165,204,194,166,139,121,108,98,121,177,190,190,189,189,188,187,185,184,172,176,180,182,185,189,203,197,172,164,171,203,190,166,142,114,103,99,133,184,191,191,191,189,188,187,186,185,172,175,178,181,184,188,197,189,183,173,173,201,184,159,138,113,101,102,147,189,192,191,190,189,188,188,186,185,171,174,177,180,183,186,192,194,196,175,175,193,172,146,125,109,101,108,160,191,192,191,189,188,188,187,186,184,171,174,177,180,184,187,190,195,192,168,164,178,159,133,114,104,99,116,171,192,192,191,190,189,188,187,186,184,172,175,178,181,184,187,189,192,182,162,155,166,153,129,113,103,98,122,179,193,193,192,191,189,189,188,187,185
23,149,152,154,160,162,166,169,171,172,174,176,177,178,179,180,181,180,180,179,178,180,178,177,177,177,177,175,172,150,153,155,160,163,167,169,172,174,175,177,179,179,180,181,181,181,182,181,181,180,178,178,178,178,178,177,174,151,153,157,160,163,169,170,173,174,176,178,180,181,183,184,183,182,182,182,183,182,181,181,180,179,178,178,177,153,154,159,163,166,169,172,174,175,177,181,179,179,179,175,185,186,184,184,184,185,184,183,182,180,180,180,179,154,154,161,164,169,171,174,177,178,176,176,187,200,196,157,132,175,187,187,186,185,185,183,183,181,180,181,180,154,155,162,166,168,172,175,177,176,185,208,205,201,188,170,155,155,132,187,188,186,186,185,185,184,182,181,181,156,157,161,165,168,172,175,179,176,203,203,158,161,126,131,150,124,132,189,187,187,187,187,186,184,183,183,183,156,158,162,167,170,175,177,181,179,201,181,146,90,135,186,180,175,190,189,188,187,188,187,186,186,186,185,182,155,159,163,168,172,176,179,182,179,205,183,166,79,156,199,195,197,192,192,192,191,191,187,187,188,187,185,184,157,160,165,169,174,176,179,183,181,207,187,167,105,169,196,142,184,194,192,192,191,191,190,189,189,188,187,186,159,161,165,168,175,177,180,184,182,213,196,202,216,218,203,94,140,206,191,192,192,193,192,192,190,189,189,187,160,163,167,170,175,178,181,181,187,219,227,230,208,197,151,96,123,208,198,194,194,195,193,193,192,191,190,190,159,163,169,172,176,179,180,196,211,218,223,215,204,193,100,127,156,122,179,196,199,196,196,196,193,192,193,190,161,163,168,173,178,178,213,222,214,219,224,217,201,165,89,117,155,81,85,115,155,202,195,196,194,194,193,192,162,165,169,176,178,182,223,206,199,206,206,190,193,140,83,81,120,97,88,100,95,189,201,197,197,198,195,193,162,165,171,178,177,188,220,201,211,223,216,208,186,132,94,74,82,101,97,109,104,182,204,198,199,198,197,196,161,166,171,178,179,178,231,228,228,219,196,175,152,112,101,90,52,76,100,107,109,186,204,199,200,199,197,196,162,165,171,177,181,178,232,227,200,161,126,117,104,108,112,80,33,72,104,113,115,193,205,201,201,200,199,198,164,167,172,177,181,177,220,204,175,130,106,65,80,124,111,63,64,84,104,114,113,196,205,202,201,202,201,200,163,168,173,178,183,176,207,204,164,112,88,57,103,93,65,63,85,97,98,111,123,205,204,204,204,203,201,200,165,169,174,179,186,172,205,202,155,121,101,76,55,45,67,83,98,106,104,108,172,211,205,205,205,205,202,201,164,168,174,179,186,171,202,202,163,131,105,99,68,63,96,110,116,120,105,142,214,206,207,207,206,205,203,202,163,168,175,178,188,167,200,208,169,136,113,110,92,80,112,121,122,121,107,169,217,209,209,208,208,207,206,204,165,169,176,180,188,169,193,205,166,141,118,113,100,85,111,120,121,117,114,193,213,209,210,209,208,208,207,206,166,169,176,181,189,173,188,201,162,142,120,114,104,93,109,116,123,110,145,217,210,210,210,211,210,208,206,206,165,170,177,181,189,180,186,194,162,139,120,109,107,104,112,119,114,131,202,215,212,211,211,211,210,209,207,206,165,170,177,182,189,183,187,189,152,131,114,111,113,110,110,115,133,204,217,213,214,214,213,212,211,210,209,207,166,169,177,181,188,182,190,193,149,127,115,113,113,113,113,111,185,218,211,214,214,214,213,213,211,210,209,208
17,185,186,188,191,195,197,198,201,202,202,203,205,207,208,210,212,211,212,213,213,214,214,214,214,213,214,214,214,186,187,189,194,196,197,199,202,202,203,206,207,208,210,210,212,213,213,213,213,214,215,216,217,216,217,217,216,187,189,193,196,198,199,200,203,204,205,207,208,209,212,212,213,214,215,215,214,217,216,217,218,218,218,219,219,189,191,195,196,199,200,202,203,205,207,208,209,211,213,214,214,216,218,217,218,220,218,218,220,218,220,220,220,188,191,195,197,199,202,203,204,207,208,210,211,212,214,215,217,218,218,214,222,218,219,221,220,220,221,221,220,189,192,195,197,201,203,204,206,208,208,211,213,213,214,217,218,217,222,196,170,172,165,226,221,221,222,222,222,191,193,196,198,201,204,206,207,209,211,212,213,213,216,218,219,217,229,224,150,116,140,225,221,223,223,223,223,192,194,197,201,202,204,206,208,212,214,215,215,217,219,218,220,219,230,234,174,108,149,234,222,224,223,222,224,193,195,197,201,203,204,207,210,212,213,214,217,218,215,223,221,221,225,242,197,120,171,237,223,225,224,224,225,193,196,200,203,204,206,210,211,211,213,215,214,220,199,179,226,222,226,242,196,137,205,232,227,227,225,225,225,193,197,201,202,205,207,210,211,213,214,216,218,228,211,158,168,225,242,237,188,142,216,231,228,228,227,227,225,194,197,201,203,206,208,211,212,212,219,206,182,221,230,213,191,164,200,228,191,139,215,233,228,228,228,227,227,195,198,202,204,207,210,213,211,217,245,205,148,197,228,244,230,172,122,185,182,141,214,234,230,228,228,229,228,195,200,203,205,208,211,214,211,229,212,217,185,184,167,212,247,208,134,139,164,135,211,234,230,228,229,230,229,196,200,204,206,208,210,214,210,238,201,167,172,137,98,146,255,229,160,120,137,124,211,236,230,230,230,230,229,198,201,203,206,209,212,214,216,234,189,151,171,144,129,145,255,245,186,122,126,117,207,237,231,231,231,230,230,198,201,204,207,210,213,213,223,240,210,192,179,155,181,164,247,250,198,137,122,118,200,239,231,232,232,231,231,198,201,205,209,210,214,211,234,231,189,181,174,169,191,220,247,228,206,149,116,115,203,240,231,234,234,232,232,199,202,205,208,212,215,213,243,217,185,174,175,184,207,255,245,207,193,146,111,106,205,241,233,234,234,233,233,201,203,204,208,212,215,213,251,220,194,177,177,187,252,255,241,204,181,140,110,108,217,239,235,234,234,234,234,200,203,205,210,211,213,219,255,223,206,179,178,217,255,247,233,194,173,133,106,128,239,234,235,234,234,234,234,199,202,207,211,214,211,226,255,224,214,195,179,239,255,241,230,185,160,131,100,172,245,233,235,234,234,232,232,200,203,207,211,216,213,232,255,228,224,214,189,244,252,233,224,188,146,123,110,220,239,234,237,237,236,235,235,200,204,209,212,215,213,228,255,236,230,222,201,227,245,229,216,181,143,109,153,247,234,235,236,237,237,235,235,201,204,209,213,216,216,222,255,245,225,213,211,216,233,223,226,177,137,105,190,246,233,234,236,236,235,235,236,202,205,210,213,216,219,218,255,240,224,207,209,219,220,221,227,178,135,110,211,243,237,238,238,237,237,237,237,202,205,208,211,215,217,222,255,237,225,208,208,220,217,221,217,168,131,133,238,239,238,238,238,238,238,237,237,201,203,206,211,216,216,226,255,249,227,214,218,226,210,217,202,155,118,183,248,236,238,238,238,238,238,239,237
23,185,186,186,184,185,187,186,185,183,183,182,180,180,179,178,178,177,176,173,172,171,170,167,166,166,159,56,34,188,188,188,187,187,188,188,188,186,185,185,184,182,181,181,180,179,178,176,174,173,172,170,167,170,153,42,30,189,189,189,189,190,190,190,189,190,188,187,187,186,184,183,182,179,179,178,176,175,174,173,170,179,128,30,29,192,192,191,193,193,193,194,193,192,189,188,188,189,187,187,186,185,181,180,179,179,177,175,170,182,106,21,24,196,194,194,195,195,195,195,195,194,193,192,191,181,183,185,183,178,186,184,181,181,179,176,173,178,80,21,17,196,197,196,196,197,196,196,196,195,194,194,181,149,143,156,154,141,123,178,184,180,180,179,177,174,57,22,11,197,198,199,199,200,199,197,198,197,197,189,168,174,151,150,160,156,96,112,197,181,182,181,179,182,77,20,13,200,200,200,201,200,201,200,199,199,198,188,174,157,119,98,129,120,120,72,150,195,182,182,179,186,107,28,15,201,200,201,202,201,202,202,200,200,196,191,169,139,89,123,141,146,117,104,75,164,190,183,180,184,133,94,20,202,201,202,202,203,203,203,202,201,192,187,151,142,91,194,203,202,167,118,83,140,195,185,183,183,153,126,61,203,203,203,203,203,204,204,204,202,185,178,137,134,126,206,198,198,203,190,173,190,190,187,185,186,164,110,150,204,204,204,204,206,207,205,207,197,182,170,129,120,160,187,173,171,155,165,201,192,190,188,186,187,168,138,143,205,206,207,207,207,207,206,206,182,172,161,145,148,159,163,164,166,145,90,185,189,190,189,187,188,177,160,157,208,208,208,207,207,207,208,184,155,155,162,171,180,189,187,178,163,136,88,172,176,156,190,189,186,187,171,126,208,209,209,208,207,210,201,181,166,158,160,162,172,167,156,147,136,136,98,145,189,135,158,197,188,186,186,143,209,210,210,209,209,210,199,180,168,154,148,154,161,163,167,162,145,133,105,76,149,113,133,202,188,188,187,181,211,211,212,211,210,214,192,185,188,163,154,154,160,167,160,157,155,95,71,43,87,63,129,204,189,190,187,186,212,214,215,216,212,217,185,184,184,157,149,157,166,168,162,158,143,83,50,37,44,73,186,195,192,190,188,186,214,215,215,215,213,218,187,167,182,174,174,175,170,169,158,144,107,67,53,46,54,176,203,193,193,192,190,187,213,214,214,214,213,217,185,162,192,185,178,172,145,130,114,83,79,70,54,42,149,209,194,195,194,192,190,186,214,215,214,214,214,218,183,166,186,175,167,156,127,88,52,57,80,64,46,76,200,196,195,193,192,188,189,189,215,216,216,215,214,219,183,167,175,167,166,158,128,77,43,60,56,54,46,122,211,195,195,192,190,194,189,167,215,216,216,216,215,220,181,169,170,165,169,168,120,60,38,40,47,62,51,166,208,196,195,201,199,159,119,130,215,215,215,216,214,219,181,166,168,177,181,157,102,69,48,52,66,62,74,201,199,204,201,155,114,70,123,138,222,223,224,224,222,227,180,160,171,184,177,140,98,76,54,57,73,50,131,220,201,171,113,53,48,49,130,148,163,168,171,175,180,187,159,160,177,185,170,130,92,77,57,56,59,72,195,171,109,62,45,47,45,37,109,161,99,99,97,97,99,97,135,167,175,178,160,122,90,75,56,53,56,77,97,61,38,54,42,44,35,35,66,161,115,115,117,116,112,110,149,167,169,164,141,111,81,68,53,48,59,55,57,43,36,55,38,38,36,37,33,109
15,126,137,147,152,154,159,167,175,181,186,191,195,199,201,205,208,210,215,217,220,223,225,227,228,230,231,232,233,128,138,148,152,154,159,168,176,181,187,192,196,199,202,206,208,213,215,218,222,225,226,228,230,232,233,234,235,129,139,149,153,157,162,170,176,183,189,193,196,199,203,207,211,215,217,222,224,226,227,230,232,233,234,235,237,131,141,152,155,158,165,171,178,184,189,192,197,201,205,208,212,216,219,223,224,225,228,231,233,234,234,236,237,130,142,150,153,158,163,171,180,185,189,194,198,201,206,209,212,216,218,222,224,228,230,232,234,234,235,237,237,142,148,159,162,164,173,179,183,180,185,189,193,200,206,209,212,216,222,226,225,228,232,233,236,237,237,238,239,179,165,171,173,175,188,196,199,204,201,191,188,190,191,203,203,197,197,208,228,232,231,235,237,238,238,239,240,159,136,143,153,170,186,190,201,220,212,201,203,207,216,210,212,213,187,169,159,212,239,233,238,238,240,240,241,123,121,129,132,141,155,164,181,212,221,219,220,220,224,228,211,207,228,175,140,127,201,243,236,238,240,240,241,137,151,155,153,156,160,166,168,177,193,211,234,238,204,207,216,173,237,174,142,159,135,201,245,235,240,240,241,136,147,154,157,163,172,175,186,177,156,165,170,200,198,176,187,163,242,179,129,176,184,117,209,242,237,239,241,138,149,156,156,163,168,175,208,167,145,134,147,183,192,153,147,154,198,175,152,175,186,130,119,236,239,238,239,137,150,155,156,163,165,191,224,146,131,143,166,199,190,158,145,155,143,144,160,178,164,119,90,151,251,235,239,139,150,154,157,162,169,184,237,161,131,166,180,196,181,153,147,149,148,147,164,180,177,122,96,88,176,248,242,139,150,156,156,164,167,204,242,236,192,167,151,156,148,128,129,132,144,160,173,178,173,132,100,97,92,161,238,138,149,155,157,162,165,217,244,228,239,207,145,88,82,83,76,82,107,142,163,157,149,123,110,109,102,89,128,138,149,154,156,163,168,194,240,231,210,219,229,138,49,61,53,59,68,101,151,159,152,141,139,125,112,105,96,126,132,138,142,148,151,157,218,235,208,200,236,148,70,62,56,68,61,98,166,177,175,168,160,141,118,109,107,102,106,108,107,111,107,119,238,225,205,191,188,107,78,66,60,73,70,85,144,168,172,170,161,143,121,107,114,112,112,113,114,117,117,119,208,240,212,171,161,138,84,68,70,74,84,95,111,138,150,157,152,140,121,110,113,113,112,113,116,116,120,116,129,182,202,183,168,159,106,77,77,73,83,100,105,118,142,148,141,127,121,117,113,113,114,115,116,117,119,120,118,119,125,128,128,118,110,87,82,72,78,98,110,99,125,139,135,126,122,119,118,114,114,116,116,117,116,118,119,119,122,121,120,119,126,121,105,104,97,109,124,113,113,129,125,120,114,115,118,113,113,113,116,118,118,120,120,121,124,125,125,127,136,142,159,155,136,153,163,169,159,151,143,119,108,123,128,112,112,113,114,116,119,119,120,120,122,123,124,124,124,123,152,143,169,201,203,195,187,169,155,131,128,149,146,112,112,113,114,117,118,118,119,120,123,123,124,124,126,123,122,123,141,168,181,188,164,144,132,139,149,152,170,112,113,114,114,116,117,119,119,120,121,122,122,123,122,124,125,126,127,120,136,149,132,147,157,149,139,154,185,111,113,114,115,115,115,118,119,119,119,120,121,121,123,123,124,125,126,127,127,124,142,166,169,139,146,165,186
7,142,161,172,178,183,187,190,190,192,194,197,198,198,199,199,200,201,200,201,200,198,198,197,196,195,193,193,191,144,163,173,179,184,187,190,192,193,195,198,199,200,200,200,201,202,202,201,200,200,199,198,197,196,195,193,193,146,165,174,180,185,189,191,193,194,197,199,199,201,201,202,203,203,203,203,202,202,200,200,199,197,196,195,194,146,165,174,181,186,189,192,194,196,198,199,199,201,203,204,204,204,204,203,204,203,202,201,201,200,198,197,196,147,166,174,181,187,190,193,194,197,199,199,201,203,204,204,204,204,204,204,204,204,204,204,203,200,199,198,196,148,167,175,183,187,191,193,194,197,198,200,201,204,206,208,208,209,209,208,207,205,201,198,197,202,201,200,198,148,166,175,182,187,191,194,197,200,202,204,203,203,199,194,188,177,175,172,175,163,155,178,180,175,202,199,199,149,167,176,183,187,191,194,187,180,175,174,173,168,156,152,156,135,143,146,141,142,143,176,173,154,205,203,200,151,169,176,184,188,194,181,156,149,155,156,161,159,151,144,137,134,135,137,133,137,134,134,129,151,185,197,203,152,169,175,183,192,190,173,145,137,143,141,142,144,145,147,149,150,136,140,149,143,139,135,129,134,153,154,196,153,169,179,187,187,177,166,149,136,134,142,151,158,160,159,155,147,126,132,148,137,128,127,120,126,146,132,187,151,179,186,183,176,173,170,162,158,159,164,167,158,156,153,148,131,120,120,122,117,114,115,116,120,131,160,204,180,188,182,180,180,178,164,144,136,140,149,148,142,138,128,119,115,130,144,160,173,184,191,195,200,203,208,205,194,187,185,184,180,164,155,124,118,131,128,117,110,125,167,185,198,206,215,219,217,216,215,213,211,208,206,205,190,188,187,177,160,157,144,118,115,111,100,91,96,105,127,140,208,216,211,211,211,210,210,210,209,208,207,205,189,190,179,165,157,151,146,139,123,106,104,107,106,101,95,78,155,223,211,214,213,212,211,211,211,209,207,206,190,182,164,156,152,149,159,162,137,109,108,110,109,107,108,93,158,224,213,214,213,213,213,212,211,209,208,206,178,163,150,148,148,146,150,146,119,103,101,98,102,103,103,86,127,221,214,215,214,214,212,212,211,210,209,206,158,151,147,147,142,134,136,125,107,97,87,93,105,107,105,92,151,218,213,215,215,214,212,211,211,210,209,207,154,151,148,144,136,122,117,118,116,103,102,113,115,109,93,163,224,214,215,215,215,214,212,211,211,211,209,206,148,139,133,127,122,119,124,134,128,112,105,101,101,105,151,214,213,214,214,213,213,213,212,211,210,209,207,206,140,133,131,129,127,127,130,133,119,99,114,148,173,200,216,211,211,213,212,212,212,211,211,211,209,208,206,205,138,135,135,131,124,121,117,109,106,144,198,215,215,212,210,212,213,212,212,212,212,211,211,211,210,209,207,205,119,122,120,116,113,110,120,150,183,209,209,207,208,209,211,212,212,212,212,211,212,211,211,210,209,208,206,205,94,69,116,154,156,171,190,201,202,201,204,206,209,210,210,210,211,211,211,211,212,211,211,211,208,207,205,204,85,47,145,199,194,200,199,199,201,205,207,210,211,212,213,213,213,212,212,212,210,209,209,208,205,204,205,204,64,53,152,175,166,166,165,166,165,165,164,161,160,162,162,161,158,156,156,155,152,150,148,146,143,140,122,115,47,66,127,131,130,133,132,132,134,133,131,132,132,133,133,131,130,130,129,129,129,128,127,125,124,100,68,66
21,119,122,128,135,140,145,148,151,156,159,163,164,167,170,172,172,174,175,175,176,177,177,177,176,178,178,178,178,121,124,131,137,143,147,150,153,158,161,164,167,170,173,174,173,176,178,179,179,179,179,180,180,181,181,180,180,122,126,133,139,145,150,153,157,160,164,166,169,172,176,178,160,142,178,181,182,181,183,184,184,184,185,184,184,124,128,135,141,147,152,156,159,162,165,169,172,176,178,184,163,103,170,184,184,185,173,161,185,187,187,187,187,127,131,138,144,149,154,158,161,164,167,171,175,179,180,187,170,105,152,188,187,188,172,117,165,191,190,189,188,129,132,140,147,152,156,159,163,167,171,174,177,181,183,188,175,113,133,190,188,190,178,118,139,194,192,191,190,130,135,142,149,154,158,162,166,169,173,177,180,183,186,188,180,128,121,189,191,192,179,124,123,194,193,192,192,132,137,144,151,156,160,164,167,171,175,179,183,185,187,189,193,151,117,181,194,194,182,131,115,193,196,195,195,134,138,146,153,158,162,166,169,173,176,180,184,187,189,190,199,162,118,165,197,195,189,147,113,191,198,198,197,135,140,148,154,159,164,167,171,175,178,182,185,187,190,192,205,170,125,147,199,197,191,155,111,186,200,200,201,136,142,150,156,161,164,169,173,176,180,183,187,188,188,186,207,190,147,138,199,199,192,161,111,181,202,201,201,136,143,151,157,162,166,170,174,178,181,185,188,191,187,174,178,201,167,136,195,201,201,176,119,179,203,202,202,138,144,152,158,163,168,172,176,179,184,187,190,201,213,201,172,163,151,128,187,203,202,180,120,177,205,203,203,139,145,153,159,165,169,173,177,181,184,187,191,195,192,198,186,154,114,103,164,194,189,173,118,174,207,204,204,140,145,154,160,166,171,173,177,182,186,189,192,192,176,158,144,157,133,123,125,140,158,157,115,170,210,206,206,142,148,156,161,167,172,176,179,183,187,191,193,199,201,179,134,127,160,169,157,124,107,132,108,163,211,207,207,142,150,157,163,168,172,177,181,184,188,192,195,187,175,185,147,91,121,172,174,135,88,97,93,160,212,209,208,143,151,158,163,168,172,177,181,184,189,193,196,182,126,146,155,100,68,115,161,150,113,79,77,151,212,210,210,143,151,159,165,169,173,177,181,185,190,194,197,184,153,133,145,126,92,52,124,169,143,95,69,128,213,211,211,143,150,158,164,169,173,178,182,185,190,194,197,199,178,128,108,124,107,61,93,172,167,125,85,106,209,212,212,142,150,157,163,167,172,177,181,186,190,193,196,206,181,147,117,92,84,91,127,176,185,146,110,97,198,213,213,144,151,158,164,169,172,178,182,186,190,194,196,210,200,171,120,96,104,131,189,195,177,144,114,94,192,214,213,145,152,159,165,170,174,179,183,186,191,195,197,210,202,162,118,115,128,159,214,199,167,128,102,91,193,214,213,144,152,159,165,170,175,180,183,186,191,194,196,206,200,159,141,130,126,174,217,191,157,120,91,91,196,214,214,145,152,160,165,170,175,179,183,187,191,194,196,202,197,173,147,127,127,180,214,185,150,113,90,94,199,214,215,144,151,158,165,170,175,179,183,188,193,196,198,199,193,176,140,135,135,175,205,180,147,108,86,98,202,214,214,118,122,128,134,138,143,149,155,162,167,171,174,180,189,177,144,155,141,162,191,163,132,100,83,105,206,212,213,92,93,93,94,94,96,99,102,104,105,107,108,118,174,178,154,160,146,152,182,146,115,92,83,96,150,158,162
8,239,239,239,239,240,239,239,240,241,241,241,239,239,239,239,238,238,238,239,238,237,236,233,233,233,237,217,104,239,240,242,242,242,241,241,243,243,241,238,242,240,241,243,242,240,240,240,239,239,238,236,236,237,235,234,175,242,245,245,244,244,244,243,244,246,249,187,231,249,245,246,245,244,244,243,242,242,240,237,237,237,237,238,148,244,246,246,245,246,245,246,243,251,250,156,225,252,247,247,247,247,245,244,244,244,242,242,240,239,240,230,167,245,246,247,247,247,246,248,243,255,228,139,240,252,248,247,249,248,247,247,246,245,244,244,243,242,241,237,205,248,248,248,249,248,247,248,246,255,207,139,255,251,250,250,252,250,248,249,249,247,245,245,245,243,243,239,240,248,248,251,251,250,252,249,253,255,195,156,255,251,252,253,254,251,251,250,248,248,247,247,246,245,245,242,242,250,250,252,253,252,253,250,255,255,164,183,255,252,255,254,253,255,252,252,251,249,251,247,247,247,245,244,241,252,253,253,252,254,255,249,255,255,159,191,255,231,225,255,246,238,255,255,255,255,251,252,248,249,246,247,247,254,254,254,254,255,255,251,255,253,171,197,255,233,170,225,240,174,202,232,227,244,199,207,255,248,251,249,248,255,255,255,255,255,255,255,255,255,177,246,255,255,191,184,233,197,135,163,183,233,166,151,255,250,253,250,248,255,255,255,255,255,255,255,255,250,191,255,255,255,210,153,226,194,161,215,185,253,168,146,255,251,251,251,250,255,255,255,255,255,255,255,255,243,227,255,255,255,219,140,213,175,204,232,188,255,207,155,255,254,252,253,251,255,255,255,255,255,255,255,230,248,253,225,255,255,224,135,182,176,225,208,184,249,235,179,213,255,253,254,252,255,255,255,255,255,255,255,201,242,238,220,247,255,233,136,137,182,231,192,149,242,236,172,157,255,253,254,253,255,255,255,255,254,255,255,187,198,217,194,217,255,227,127,116,177,222,169,141,247,219,140,189,255,255,255,254,255,255,255,255,254,255,255,186,171,177,169,170,255,239,140,105,182,240,155,175,234,171,132,251,255,254,254,253,255,255,255,255,255,255,255,209,154,173,162,166,222,252,183,84,174,198,153,209,180,122,181,255,252,254,254,253,255,255,255,255,255,255,255,233,148,158,162,157,206,219,146,131,228,205,221,223,146,121,249,255,254,255,255,254,255,255,255,255,255,255,255,245,149,161,175,161,230,240,208,247,244,216,201,209,133,146,255,255,255,255,255,254,254,255,255,255,255,255,255,247,155,174,171,195,255,255,255,255,235,218,173,168,119,183,255,255,255,255,255,255,255,255,255,255,255,255,255,236,175,193,170,246,255,255,255,255,236,203,161,126,126,253,255,255,255,255,255,255,188,191,196,190,247,255,255,242,205,200,174,255,255,255,255,254,225,183,144,105,187,255,255,255,254,253,255,255,122,122,125,107,196,255,255,255,214,210,186,244,255,255,255,235,205,159,130,114,150,163,160,175,212,254,255,255,137,135,138,125,171,255,255,255,215,214,191,244,255,255,239,211,178,138,124,113,119,152,197,244,255,255,255,255,135,133,137,125,168,255,255,237,211,207,194,255,255,249,220,179,154,121,122,187,223,255,255,255,255,255,247,248,133,134,141,123,193,255,252,232,215,205,209,254,252,234,193,158,147,99,190,255,255,244,235,241,251,255,255,244,134,132,139,122,220,255,247,231,219,209,219,238,233,220,174,150,139,133,240,246,255,255,237,224,233,236,230,236
12,97,111,123,130,133,141,149,156,159,163,166,171,175,179,182,185,188,190,193,194,195,196,196,198,199,201,201,201,100,114,125,132,135,144,152,158,161,164,169,173,177,182,185,187,190,196,197,196,196,199,201,202,203,204,203,203,103,116,129,133,137,146,155,160,163,167,172,176,180,184,187,191,191,174,181,202,200,199,201,207,204,205,205,205,104,119,131,135,139,148,156,162,165,170,174,179,183,188,192,198,202,135,105,171,205,172,131,173,210,206,207,207,107,121,132,137,141,151,158,163,168,172,176,181,186,173,154,204,208,145,104,100,150,162,110,93,190,211,209,209,108,123,134,138,144,153,160,165,171,174,178,182,207,163,108,114,198,172,127,92,94,160,130,87,140,218,211,210,111,125,136,140,146,155,162,167,173,178,179,196,217,167,123,90,167,198,146,110,84,150,146,105,116,220,214,213,113,127,138,142,148,156,163,169,175,179,183,209,204,193,151,121,130,210,169,116,79,120,144,113,101,217,215,216,116,130,140,143,150,159,165,171,177,179,195,196,175,213,179,136,100,181,187,121,79,86,127,108,87,213,218,218,117,132,141,145,152,162,167,172,175,179,216,161,155,205,192,136,99,133,187,121,81,67,114,94,80,213,220,220,119,134,143,147,154,162,169,172,163,157,180,155,140,172,188,147,105,89,163,114,79,62,99,89,84,215,221,221,121,135,143,147,154,161,180,195,183,179,175,142,96,81,168,143,92,61,134,119,83,62,92,91,92,220,222,222,123,135,144,148,155,161,190,217,209,211,196,119,80,35,119,115,77,47,99,134,116,70,104,108,107,227,222,224,125,138,145,150,157,162,198,212,176,174,159,96,79,40,69,99,84,37,70,166,137,82,109,122,79,196,228,225,127,140,146,151,158,164,194,194,159,133,151,118,86,50,37,98,92,52,96,165,144,89,88,110,62,152,233,226,129,141,147,152,159,166,186,170,137,102,129,146,86,62,34,70,75,96,158,159,136,86,72,82,71,175,232,228,128,140,147,151,160,166,184,189,159,125,103,146,90,70,50,59,97,151,173,163,143,114,91,79,97,219,231,232,129,140,146,150,158,166,188,192,162,131,107,125,98,73,57,69,137,170,174,172,158,128,98,71,156,239,225,203,130,141,146,150,160,167,189,189,174,158,114,96,114,98,78,89,173,180,179,183,154,120,91,86,212,198,186,149,131,141,147,152,161,168,187,187,183,166,110,108,137,120,93,110,186,189,192,175,131,108,85,115,205,121,122,178,131,141,147,153,161,169,182,182,177,171,111,124,139,114,120,167,196,197,187,151,113,97,81,115,115,126,104,120,131,142,147,152,161,170,177,173,176,165,122,130,140,118,156,178,197,190,167,129,97,85,97,157,113,144,112,105,130,140,144,151,160,169,177,177,182,161,128,135,140,118,157,165,184,176,151,112,88,76,132,184,123,100,147,188,107,112,115,118,123,127,132,152,175,160,138,140,136,120,148,166,165,156,124,93,77,101,121,126,123,114,153,149,103,104,104,105,107,106,102,116,176,162,144,139,131,126,134,156,149,120,95,80,82,119,183,152,141,148,119,140,106,105,108,110,110,112,113,112,174,179,154,136,132,129,129,144,133,99,81,83,162,182,223,211,203,169,140,185,107,107,107,109,111,111,112,110,159,168,151,131,124,119,121,130,115,89,69,113,224,202,175,179,185,150,123,131,106,108,109,111,112,112,113,113,161,164,118,103,102,104,113,113,94,78,62,104,221,185,187,199,223,193,141,112
20,182,186,189,193,196,196,198,200,201,203,204,204,205,205,205,206,206,206,206,206,205,205,204,204,204,203,202,200,184,188,191,194,196,197,200,201,202,204,205,206,207,207,207,206,207,209,208,208,206,206,206,206,206,205,204,202,186,189,192,195,198,199,202,203,205,206,206,207,209,210,207,225,203,192,211,211,210,209,209,209,207,206,206,204,188,190,194,198,199,201,203,205,206,207,209,210,211,212,205,239,199,175,203,190,215,210,211,211,210,209,207,206,190,192,195,199,201,203,206,206,207,209,210,211,212,214,208,238,198,195,218,162,214,213,212,212,212,211,209,208,191,194,197,200,203,205,207,208,209,211,213,212,213,215,210,244,211,197,233,163,209,216,213,213,214,212,211,210,192,195,198,201,204,206,208,211,211,213,214,213,216,216,213,250,211,199,244,174,205,218,216,216,216,214,213,212,194,197,200,203,205,207,210,212,212,214,215,216,214,215,221,248,201,212,244,175,200,223,218,218,217,215,214,214,195,198,201,205,207,209,211,213,215,216,217,217,233,227,207,249,200,220,240,167,199,224,218,218,219,217,216,216,197,200,203,206,209,211,213,215,216,217,215,224,255,241,180,183,187,219,236,167,205,225,221,220,220,219,218,217,198,202,205,207,210,213,215,217,216,220,250,243,197,216,204,172,162,192,214,169,210,226,222,221,221,220,219,218,200,203,206,208,211,215,217,219,215,236,245,239,224,203,226,234,199,154,177,163,214,226,223,222,222,221,220,219,201,204,207,210,213,216,217,220,217,239,223,171,201,155,190,242,211,157,147,151,216,226,225,224,224,223,222,221,202,205,208,211,214,217,218,221,218,242,215,165,156,137,136,217,238,186,143,143,216,229,226,226,225,225,224,222,202,205,209,212,215,217,219,222,219,244,235,210,177,155,152,182,255,215,156,137,218,231,228,227,226,226,225,223,204,206,210,214,215,218,221,223,220,251,246,197,169,162,175,183,255,238,178,134,211,234,228,228,227,227,227,225,205,207,212,215,217,220,222,224,222,253,235,192,175,178,183,215,255,241,196,142,205,235,229,230,229,229,228,226,206,208,212,215,217,220,223,225,224,253,244,207,190,192,199,248,255,232,199,146,205,237,231,231,230,229,229,228,206,210,213,215,218,221,224,227,224,253,251,220,193,205,219,255,255,226,193,150,206,240,232,232,231,231,230,229,206,209,212,216,219,221,224,228,225,252,255,228,204,208,237,255,249,222,189,148,208,240,232,233,232,231,231,231,206,210,213,216,218,221,225,228,224,249,255,230,220,211,247,255,238,217,183,143,205,240,232,233,231,231,231,230,209,212,216,217,219,223,226,229,227,244,255,237,235,221,241,255,231,212,182,136,204,241,232,233,233,232,233,229,209,212,214,217,221,224,226,230,229,236,255,244,240,233,224,241,216,206,174,133,207,242,234,235,235,232,233,236,209,212,216,218,221,223,226,229,230,230,254,253,240,223,208,221,201,205,171,135,222,240,234,236,234,239,233,201,212,214,217,221,223,225,227,231,238,237,254,252,229,201,188,205,199,201,158,147,240,237,236,235,241,222,164,134,203,207,212,215,219,223,227,226,194,172,240,243,209,187,179,209,198,191,134,189,254,241,242,246,220,153,135,129,160,162,164,165,167,168,171,177,123,66,204,249,216,186,186,221,183,166,119,135,191,195,196,198,152,128,127,118,140,144,147,148,145,144,146,157,164,117,156,233,212,187,200,221,160,143,101,78,127,145,147,153,135,115,111,113
1,16,43,47,55,66,86,98,109,114,118,122,123,127,132,136,137,139,145,143,144,147,148,147,150,150,151,151,151,23,43,48,57,68,90,101,109,115,120,124,126,128,134,134,152,121,105,151,148,147,150,150,151,151,151,151,151,29,43,50,58,69,91,102,110,116,121,125,128,133,136,137,167,106,68,130,125,153,150,152,153,153,153,153,153,34,44,52,60,73,94,102,112,118,123,127,128,132,144,122,159,104,91,122,81,155,152,153,154,155,155,154,154,37,45,53,61,75,96,106,114,119,124,128,130,135,157,97,151,99,103,136,76,147,155,155,156,156,156,156,156,39,46,53,61,78,98,108,115,121,126,130,127,148,147,95,158,102,106,139,71,140,160,156,157,158,158,158,157,41,48,54,63,80,100,108,116,121,126,132,129,155,137,87,153,97,107,147,78,138,163,158,160,159,160,160,159,43,48,55,66,84,102,110,118,123,125,147,124,134,127,90,156,98,105,138,75,136,165,160,162,161,161,162,161,43,48,56,66,86,101,111,119,123,127,159,94,134,110,113,163,91,109,150,74,134,167,161,162,163,163,163,162,44,50,58,67,90,102,111,121,121,140,153,78,138,96,138,158,82,127,165,77,135,168,162,164,164,164,166,165,45,50,59,70,92,103,111,122,119,160,134,81,154,97,125,131,65,133,149,75,141,170,165,166,167,166,166,166,46,51,61,72,92,105,114,122,124,170,113,81,143,72,113,111,60,147,139,69,147,170,166,167,167,168,167,168,47,54,62,73,95,105,115,119,134,175,104,72,126,115,117,124,140,150,132,68,152,170,168,169,168,169,169,168,49,55,62,76,97,106,117,117,152,167,98,89,134,161,115,131,141,135,118,66,155,171,169,170,169,169,169,169,49,55,63,78,99,108,117,117,166,167,147,136,156,157,149,136,117,111,96,65,154,172,169,170,172,172,172,171,49,56,64,80,100,109,116,124,181,149,135,137,129,119,164,166,151,120,90,62,155,173,170,172,173,173,173,173,51,58,64,80,100,111,112,149,181,128,103,96,78,77,156,158,152,136,104,61,156,173,170,173,173,174,174,174,52,58,66,84,103,112,110,165,170,122,118,124,109,146,174,162,137,117,92,47,140,180,172,174,174,175,176,175,51,59,66,86,104,112,112,170,176,139,120,124,153,200,179,151,128,90,74,43,104,185,172,175,176,176,176,176,51,59,67,87,103,113,114,167,189,154,132,125,159,205,184,146,120,82,59,44,88,184,173,177,177,177,177,177,53,60,67,88,101,112,115,159,190,154,139,129,153,196,173,145,110,81,57,39,115,186,174,178,178,177,178,179,54,62,71,91,104,115,118,150,185,153,146,132,139,181,165,135,101,77,56,52,162,181,177,178,179,180,180,180,54,61,71,91,104,113,120,139,180,160,156,144,156,175,145,117,90,72,46,98,186,178,180,180,181,181,181,181,53,62,71,93,104,113,123,131,165,161,154,140,155,160,129,102,83,66,45,144,184,179,181,181,182,182,183,182,55,62,72,94,106,116,124,127,153,157,149,136,126,133,118,95,85,61,56,168,182,181,182,184,184,184,183,183,54,60,70,91,102,115,123,126,139,154,147,135,125,127,124,107,85,53,73,179,177,179,181,183,184,183,183,182,53,59,70,92,100,111,122,128,142,160,155,145,137,125,124,111,80,47,100,185,174,178,181,181,182,183,183,182,52,57,71,91,100,112,122,125,174,160,150,156,139,123,104,95,76,38,103,186,174,179,181,183,182,183,184,183
24,134,139,144,149,151,154,157,159,160,160,162,163,163,163,164,163,162,161,161,161,160,160,158,159,158,157,155,153,135,140,146,150,152,154,157,159,161,162,164,164,164,165,165,164,163,163,163,163,161,161,159,160,159,158,156,155,137,142,147,151,154,156,159,160,161,164,165,165,166,165,166,166,164,164,165,164,163,162,161,160,159,157,156,156,138,143,155,171,140,157,161,162,163,165,166,166,166,166,167,167,166,165,165,164,164,164,163,162,160,158,158,157,139,145,171,187,118,160,162,163,164,166,168,169,168,168,169,169,167,166,166,165,165,164,164,163,161,159,159,158,141,146,176,182,112,160,163,165,167,168,170,171,171,171,170,170,169,168,168,166,166,166,165,164,163,162,160,159,143,147,176,184,110,155,165,166,169,170,171,172,173,173,172,171,171,170,169,168,168,167,166,164,163,163,161,160,144,149,172,191,121,151,165,167,170,172,172,173,173,173,173,173,173,172,171,170,169,168,167,166,165,165,163,162,145,151,167,196,127,141,167,170,172,173,174,174,175,175,175,175,174,173,172,171,170,170,169,168,167,166,165,163,146,151,164,204,145,124,170,172,172,180,176,171,185,182,165,174,175,174,174,173,172,171,169,168,168,167,166,165,147,153,163,215,168,127,200,184,158,209,177,134,200,188,138,150,178,177,176,175,174,173,171,170,169,167,167,165,148,154,162,206,180,155,227,189,164,213,180,135,198,179,142,114,172,179,178,177,173,165,159,154,169,168,167,166,150,156,160,205,198,187,233,190,164,217,177,142,207,172,128,95,152,180,178,176,153,130,114,101,151,170,170,168,152,158,161,209,215,204,235,195,151,218,170,148,201,166,108,82,138,179,178,168,132,106,108,129,163,172,171,170,152,158,165,208,209,197,226,194,143,207,171,152,192,153,84,67,136,177,173,146,115,131,168,175,174,173,172,171,153,159,174,204,181,184,209,188,137,199,173,152,187,136,75,98,149,172,137,118,124,175,180,178,177,175,173,172,155,161,183,221,169,163,188,178,131,201,168,146,183,133,151,169,162,141,108,114,169,182,181,180,180,178,175,174,155,160,191,234,184,150,178,177,141,205,149,142,190,187,188,172,145,125,105,165,185,184,183,181,181,180,177,175,155,160,194,238,194,143,175,184,168,204,140,171,212,192,177,162,127,112,148,186,185,183,182,182,181,179,177,175,155,161,194,235,197,154,166,177,166,189,195,216,208,185,169,145,115,124,184,187,186,185,184,182,181,179,178,175,155,161,193,236,206,177,163,188,222,233,233,212,195,179,160,124,109,166,188,189,187,187,186,184,182,180,179,177,156,161,183,238,215,186,176,197,233,238,230,204,182,160,140,112,148,189,190,189,188,189,186,185,184,181,181,179,156,162,173,233,217,190,184,205,238,235,215,195,167,139,120,134,188,191,191,190,189,188,185,185,184,182,182,179,154,161,170,223,206,190,186,205,226,216,195,174,151,125,119,178,191,191,191,189,188,187,185,184,182,182,180,178,130,131,136,211,200,195,193,202,215,204,176,150,132,112,117,134,133,132,131,130,130,130,130,129,128,126,129,151,107,105,104,201,205,203,201,205,209,192,158,134,119,104,99,99,97,97,96,94,94,94,93,90,91,121,168,178,110,109,105,200,219,209,207,204,200,181,146,124,110,103,103,103,102,101,99,98,97,98,101,116,167,193,179,160,111,109,106,192,229,215,216,199,189,175,147,116,103,103,102,103,103,102,101,101,100,98,133,194,195,179,170,143
15,76,79,83,86,88,93,103,114,123,128,131,135,139,144,147,149,153,155,157,158,160,162,163,163,163,164,165,164,77,80,82,87,89,94,104,115,123,129,133,134,139,144,147,151,154,156,158,160,162,162,164,165,164,166,168,167,78,79,82,87,91,96,107,117,125,131,135,136,141,147,150,154,156,159,160,162,164,165,166,167,168,167,168,168,78,80,82,88,86,92,106,117,125,132,135,138,142,148,151,155,158,160,161,164,166,167,168,169,171,169,169,170,78,80,83,85,116,124,123,123,130,137,136,139,144,150,154,157,158,160,164,166,167,169,169,171,173,173,172,173,78,83,75,124,192,141,134,128,144,153,138,133,135,144,145,155,164,164,166,167,168,171,172,174,174,174,174,174,79,84,75,124,162,104,104,103,138,136,118,118,154,155,131,121,131,152,162,171,174,171,174,176,176,175,176,176,80,81,83,86,100,93,95,91,122,115,98,109,158,158,139,105,120,129,136,133,155,180,173,177,177,177,178,177,80,81,85,88,89,99,109,116,122,119,110,112,148,152,116,109,160,143,142,131,99,148,185,176,180,178,179,179,80,82,85,88,92,100,114,125,135,141,141,141,134,113,93,180,155,154,123,155,134,86,159,185,179,181,181,181,82,82,85,88,90,101,114,124,134,138,147,176,124,94,101,157,150,120,119,156,138,122,81,174,183,181,182,182,79,82,84,88,91,101,114,126,135,137,165,186,150,93,72,74,110,93,141,126,130,139,83,99,191,181,183,183,80,83,85,88,91,102,116,126,136,139,155,189,176,133,113,94,82,97,157,121,130,106,102,62,140,196,182,185,80,82,84,88,91,102,117,126,136,141,167,164,171,156,171,150,98,96,95,102,102,76,67,71,67,174,191,185,80,82,84,88,92,103,115,128,133,157,182,150,148,135,167,143,81,82,85,80,90,74,57,65,54,79,187,189,81,83,85,88,91,103,117,128,135,154,151,116,121,126,148,110,78,84,81,84,93,83,64,63,63,45,115,199,81,82,84,88,92,104,117,127,137,147,160,125,122,96,83,75,67,73,74,76,80,77,76,73,63,60,59,177,81,83,84,88,92,105,119,129,135,153,174,173,148,106,86,106,94,52,77,88,86,82,88,86,69,63,51,115,81,83,85,88,92,105,118,129,138,145,155,173,156,125,117,111,116,58,80,108,101,102,107,98,72,58,63,59,82,82,84,88,92,106,118,129,140,145,150,150,135,111,78,74,108,130,75,107,120,117,109,91,63,60,65,62,82,81,84,87,92,105,119,131,139,145,146,149,131,107,77,60,92,122,84,84,127,124,99,77,61,66,68,67,81,81,83,85,92,105,119,131,140,145,146,153,161,167,168,149,116,140,142,112,109,105,81,72,68,72,71,67,78,79,82,83,90,105,118,130,139,145,146,151,157,161,171,168,90,109,125,135,97,100,87,64,49,49,49,52,76,78,82,82,89,105,118,130,140,144,145,151,158,163,174,144,68,65,45,49,57,60,48,33,25,23,20,14,77,78,80,81,87,103,116,129,140,144,146,152,158,162,177,122,69,73,70,24,28,40,34,28,27,23,17,10,76,77,79,82,87,102,118,129,139,145,148,153,159,164,173,100,68,65,66,58,4,30,35,29,27,23,18,10,74,74,78,79,86,102,116,129,139,145,147,152,158,168,158,74,67,64,58,66,9,7,29,25,17,16,16,7,71,72,76,77,85,100,113,126,137,143,145,151,156,172,127,66,70,61,58,69,13,0,17,19,13,18,20,3
4,221,223,223,224,225,223,223,223,224,222,221,222,222,220,216,218,221,220,216,214,214,213,213,212,210,209,207,206,224,225,226,227,227,228,226,226,226,224,221,224,222,226,229,216,201,204,219,216,216,215,214,213,213,211,209,209,227,228,229,230,230,231,229,226,225,231,241,239,215,190,230,255,223,164,153,230,222,220,214,215,215,212,212,210,230,231,232,231,231,232,228,232,236,194,230,252,219,150,120,221,219,156,99,160,194,200,223,218,216,213,214,212,231,232,233,234,234,227,248,255,223,163,119,221,196,136,88,164,186,126,99,82,139,132,152,224,215,215,214,215,233,234,232,235,235,233,255,255,207,162,96,198,186,134,80,138,169,128,93,94,134,110,87,214,222,218,216,216,235,235,234,238,234,247,255,255,220,234,124,152,224,196,78,111,201,172,99,112,145,108,87,210,224,220,218,217,236,237,236,238,236,246,255,239,249,255,153,118,255,203,82,92,222,180,95,120,197,149,105,213,226,221,219,218,236,238,238,240,239,239,255,255,239,204,128,100,188,158,96,91,145,155,62,115,240,166,128,226,225,223,221,220,239,240,240,241,238,246,255,255,251,209,165,139,105,101,106,130,189,199,113,104,182,137,165,236,225,223,223,221,242,241,242,246,236,255,255,255,231,212,187,173,153,169,178,200,244,191,142,113,109,81,204,235,228,225,224,223,243,244,243,247,237,255,255,241,201,172,185,255,219,227,248,209,221,176,165,128,110,101,218,233,229,228,227,225,243,246,246,248,242,255,255,244,212,179,177,252,221,225,236,223,202,197,193,145,96,90,214,236,227,229,227,225,245,249,249,247,250,255,255,251,217,185,156,177,188,183,203,180,172,230,219,164,110,82,207,240,229,231,229,228,249,250,251,245,255,255,255,253,213,167,152,138,117,122,174,131,152,244,236,176,128,85,194,245,232,231,231,230,251,252,253,246,255,255,255,253,199,165,167,158,133,163,247,240,191,242,251,174,141,87,181,247,232,232,231,229,252,253,255,247,255,255,255,249,197,173,182,161,139,251,255,255,242,214,237,184,152,100,159,251,233,234,233,231,254,254,255,249,255,255,255,220,195,195,184,145,212,255,255,255,231,221,192,172,148,106,172,251,235,236,233,232,255,255,255,251,255,255,255,217,229,195,162,165,255,255,255,255,220,200,178,145,133,99,217,244,237,236,234,233,255,255,255,255,255,255,252,237,235,189,147,226,255,255,255,241,212,184,165,137,109,115,245,239,240,238,235,234,255,255,255,204,255,255,251,240,242,178,191,255,255,255,246,228,205,174,147,127,81,182,253,240,240,239,237,236,255,255,244,98,140,255,255,245,232,165,206,255,255,249,235,220,189,156,134,103,110,246,243,242,243,241,239,237,255,255,132,104,93,120,220,240,201,158,182,251,254,230,214,199,171,141,119,81,204,255,245,247,246,243,241,239,255,168,95,106,107,91,103,156,160,138,166,213,229,209,193,175,151,126,83,143,255,246,248,247,247,245,242,240,199,108,114,97,91,101,94,85,91,123,154,177,199,182,168,144,127,90,98,249,255,249,249,248,247,246,242,240,110,110,109,94,91,91,90,98,74,80,115,139,160,140,122,113,93,81,221,255,252,254,253,251,248,247,245,243,114,108,94,93,88,89,86,90,88,39,57,72,90,91,74,69,77,211,255,252,255,254,254,251,249,248,246,245,107,99,92,92,85,85,81,82,96,57,32,51,50,51,53,29,140,255,254,255,255,255,255,254,251,248,247,245
13,139,147,154,156,159,164,171,174,178,180,182,185,188,191,192,194,197,198,199,200,200,201,202,200,200,200,201,202,139,148,156,158,161,167,173,176,178,181,183,186,189,191,194,196,198,199,200,201,202,201,202,203,203,202,203,204,142,151,158,159,163,169,175,178,181,183,185,188,191,193,196,198,200,198,198,200,202,207,205,204,204,205,204,205,144,154,160,161,165,170,175,179,182,185,187,190,192,194,198,199,200,211,218,204,162,183,206,205,210,205,206,207,145,154,160,163,166,172,177,181,184,187,190,192,195,197,199,203,202,221,235,204,150,115,144,162,188,212,206,207,147,155,160,163,168,173,178,183,186,188,191,194,198,196,208,190,164,168,205,208,150,107,131,159,113,191,214,208,149,157,162,164,170,174,179,184,186,190,193,196,196,207,238,205,174,136,168,213,186,113,143,161,104,176,218,208,150,159,163,165,170,176,181,186,187,192,192,203,191,159,212,236,202,154,104,195,201,117,139,171,108,190,217,210,152,160,165,167,171,176,182,186,189,189,199,230,197,143,129,232,222,177,103,118,179,113,153,189,123,205,214,212,153,161,166,168,172,178,184,187,189,196,226,225,215,178,106,176,230,168,118,66,107,87,150,171,145,221,211,213,154,163,167,169,175,181,185,188,189,221,199,192,225,193,121,123,216,155,113,67,87,119,151,144,118,206,218,215,156,166,168,170,177,183,187,186,209,233,198,172,207,178,125,103,195,160,113,71,125,167,161,144,124,156,226,214,158,166,170,173,179,185,188,189,221,215,183,159,193,151,113,83,185,188,116,112,194,188,159,122,129,121,206,220,160,167,171,174,181,188,190,198,230,208,182,142,173,141,109,59,161,187,111,179,214,184,156,129,124,109,194,225,162,170,172,175,184,191,193,201,239,218,195,151,138,146,95,71,154,193,177,215,197,171,149,127,108,119,220,220,165,172,173,178,187,194,195,207,243,223,200,165,123,123,124,169,213,224,226,208,185,157,140,123,94,167,230,218,168,174,175,180,189,196,197,212,247,233,203,169,165,168,175,200,219,218,216,200,173,153,133,111,100,212,224,221,170,177,178,184,193,198,198,216,241,236,214,183,188,173,176,209,211,221,208,188,165,147,127,97,121,230,222,223,173,179,181,188,196,202,203,216,232,238,224,198,195,175,185,220,209,212,195,173,153,135,120,83,178,235,223,225,176,181,183,191,199,205,208,209,228,237,227,207,195,178,187,213,214,192,179,159,145,133,99,137,234,227,227,226,178,184,186,193,201,206,211,208,223,230,224,215,200,188,184,201,208,186,167,149,139,118,119,228,231,229,229,228,180,186,188,195,203,207,211,215,213,231,227,219,214,203,186,193,201,180,152,139,129,108,206,238,229,232,231,229,183,187,190,197,205,210,213,218,206,231,225,219,216,202,182,186,187,170,135,133,110,165,244,231,233,234,231,233,184,190,192,199,208,214,216,220,210,228,209,195,204,196,180,180,176,159,137,121,119,229,236,235,235,232,238,227,185,190,193,201,209,215,217,222,213,229,211,196,211,207,193,172,170,155,146,107,155,241,236,237,236,248,224,125,187,190,193,203,209,214,217,222,211,231,223,206,223,210,196,169,165,153,148,101,176,243,236,240,237,192,114,82,187,191,194,203,210,215,218,222,215,227,234,223,235,213,198,174,165,153,146,99,186,245,238,237,148,83,69,74,187,192,196,205,211,216,219,225,213,213,239,229,232,211,194,178,166,155,144,97,181,246,247,180,92,92,81,56
17,136,139,142,147,153,157,160,164,167,169,171,173,175,175,176,175,175,176,172,162,169,173,172,172,172,170,168,167,137,140,143,149,154,159,162,166,168,171,173,174,176,177,177,177,177,178,165,137,156,174,174,173,172,171,169,169,139,141,144,149,155,161,164,167,170,172,175,177,178,179,179,180,185,176,138,109,143,175,176,174,173,172,171,171,140,143,146,151,157,163,166,168,171,174,177,179,180,181,181,181,191,183,138,97,138,177,177,176,175,174,173,172,141,144,148,153,159,164,167,171,173,176,178,180,182,182,183,182,191,191,157,109,145,178,179,178,177,176,175,174,143,146,149,154,160,165,169,172,175,178,180,181,183,184,184,184,192,202,175,130,154,181,181,180,179,178,177,175,145,147,151,156,162,167,170,174,177,179,181,183,185,186,186,186,195,209,186,143,155,182,183,182,180,179,178,177,146,148,152,158,163,168,172,175,178,180,183,185,186,187,187,188,199,214,191,147,145,181,185,184,182,181,180,179,147,150,153,159,165,169,173,177,180,183,185,186,186,187,189,191,207,218,199,153,134,177,186,186,184,183,181,180,148,151,155,161,166,171,175,178,181,184,187,185,172,169,187,196,209,214,198,156,129,174,188,187,186,185,183,182,150,152,156,162,167,172,177,180,183,185,190,184,155,128,166,189,186,192,189,152,124,170,189,188,187,187,185,184,151,153,157,163,169,173,178,181,184,185,190,178,149,108,123,147,154,180,184,151,121,168,190,190,189,187,187,186,152,154,159,164,170,175,179,186,192,193,193,173,156,132,107,106,142,180,176,151,123,167,192,191,190,189,188,187,153,155,160,166,172,177,181,193,202,195,201,193,182,159,118,96,131,165,163,145,122,161,192,192,191,190,189,189,154,157,161,168,173,178,182,194,198,172,176,187,183,167,141,109,105,128,139,131,114,151,192,194,193,192,191,190,155,158,162,169,174,179,184,191,194,164,129,130,151,166,165,135,101,93,104,110,105,145,192,195,194,194,192,191,156,158,164,170,175,181,185,190,198,178,134,94,110,152,178,159,126,96,85,91,96,147,194,196,196,195,193,192,157,159,164,171,177,182,186,193,208,198,174,115,112,164,190,172,145,115,82,75,85,150,196,198,197,196,195,193,158,160,165,172,178,183,188,194,216,205,170,134,145,201,202,175,151,121,80,63,80,159,198,199,198,197,196,195,159,161,166,173,179,185,189,195,217,203,169,164,190,212,198,168,147,115,76,62,94,177,201,200,199,198,197,196,160,162,167,174,180,186,190,196,217,205,184,187,214,204,191,168,138,108,74,67,129,195,202,201,200,200,199,197,160,163,168,175,181,186,191,198,216,212,192,196,217,200,189,175,137,98,71,80,164,203,203,202,201,200,200,198,161,163,169,176,182,187,192,198,214,216,195,196,209,191,175,160,124,86,68,97,184,205,204,204,202,201,200,200,161,164,169,176,183,188,193,197,210,215,193,184,190,170,152,132,99,76,69,123,197,206,206,204,203,202,201,201,161,164,170,177,183,188,193,197,206,208,179,162,167,157,139,114,88,75,83,161,207,208,207,206,204,203,202,201,160,163,169,176,182,186,181,176,196,200,167,154,161,162,144,114,89,76,114,191,209,208,207,206,205,203,202,202,159,162,169,176,182,178,131,94,157,195,182,174,168,167,151,116,88,82,151,204,209,208,207,206,204,203,202,201,160,162,169,176,182,162,97,62,127,190,188,177,169,165,150,116,84,91,172,207,209,208,207,206,205,203,202,201
16,145,147,147,150,155,158,162,164,167,170,171,173,175,177,177,178,179,181,183,182,182,183,183,183,183,181,182,183,146,148,148,150,155,159,162,165,168,169,171,173,176,177,180,182,184,184,186,188,187,186,183,183,185,184,183,183,145,147,148,150,155,161,164,166,168,170,172,176,177,175,167,160,154,150,149,155,164,179,190,187,184,185,184,184,147,148,148,152,156,161,164,167,169,168,166,161,150,141,130,118,107,105,104,95,86,91,130,168,190,184,185,186,147,147,148,152,157,160,164,162,170,144,141,132,127,129,124,115,107,95,92,94,82,64,62,70,127,190,187,185,146,147,149,155,157,164,176,177,187,152,143,128,120,126,120,112,106,99,87,90,91,73,69,66,56,130,195,184,148,148,150,155,155,170,192,189,187,162,145,123,112,115,114,112,103,104,92,87,85,74,73,70,73,61,164,193,147,148,151,155,156,164,183,191,188,158,140,111,103,104,103,108,103,99,98,89,85,78,74,69,75,61,94,200,147,149,150,155,155,170,182,197,187,156,123,100,87,93,95,101,102,97,103,99,82,80,82,73,65,76,56,162,147,149,151,155,155,171,186,198,179,147,101,85,66,80,97,106,111,106,109,106,85,78,86,70,68,78,61,93,147,149,152,155,159,164,188,198,170,125,88,83,52,36,98,109,126,123,124,112,89,82,89,69,70,77,76,52,148,149,151,156,160,159,189,193,156,112,79,70,35,6,71,104,124,148,147,125,90,85,91,71,70,77,81,67,149,149,150,155,160,161,184,183,139,106,73,60,52,32,58,84,129,158,148,125,89,86,81,71,71,74,78,78,147,148,151,155,159,162,176,164,123,98,64,68,67,65,70,59,148,153,130,117,95,87,74,73,74,75,77,80,145,147,149,153,156,161,169,152,108,76,55,75,72,66,57,76,160,137,125,114,94,75,74,74,74,78,78,81,144,147,149,153,157,163,179,145,89,76,45,63,68,87,125,154,151,123,121,103,76,66,73,76,75,77,77,78,147,147,150,155,157,165,179,139,83,105,92,110,152,183,182,160,128,118,110,84,63,68,73,78,79,78,77,76,146,147,150,155,157,165,186,136,72,153,183,183,185,184,171,149,111,101,92,86,67,69,74,77,81,80,79,79,145,147,151,155,157,166,181,122,77,171,179,179,181,183,173,135,104,77,103,107,75,74,74,77,81,80,81,81,144,146,150,154,156,167,175,97,94,182,177,179,181,183,176,134,90,83,151,125,92,82,76,78,80,80,82,82,144,147,150,153,155,167,166,79,115,183,176,178,181,183,179,143,66,120,185,137,110,90,81,77,79,82,83,85,141,144,147,154,152,178,158,68,143,180,176,178,182,185,176,153,74,141,199,147,125,103,89,81,80,80,81,83,141,145,149,151,145,192,128,76,160,168,170,172,172,175,167,151,97,123,192,150,137,115,100,88,84,83,83,86,101,100,103,105,100,131,93,81,104,104,105,108,110,110,110,110,99,95,108,109,143,125,110,99,93,88,85,87,92,91,91,94,92,91,92,90,91,93,92,92,94,91,91,93,91,89,87,85,129,136,120,108,99,94,89,87,96,97,97,98,99,99,98,96,99,101,102,100,99,99,99,99,99,98,99,90,114,147,128,115,106,100,95,92,96,96,96,97,99,97,95,98,98,98,99,98,97,98,98,96,102,107,105,100,103,148,138,122,113,108,101,97,97,98,97,97,98,97,96,98,98,98,98,97,96,98,98,96,98,97,98,99,95,145,147,133,124,116,104,98
20,142,146,148,150,152,154,154,155,156,156,156,157,155,155,154,153,152,152,150,151,148,146,146,143,143,141,141,140,143,147,150,150,153,156,156,157,159,159,158,159,157,156,157,154,153,152,151,137,148,148,147,145,145,144,143,143,145,147,150,153,154,156,157,159,159,160,161,160,158,157,158,158,154,153,165,92,102,163,148,147,147,146,145,144,146,148,151,153,155,157,159,160,161,162,162,159,160,160,159,159,155,158,166,83,84,136,146,150,148,147,146,145,148,149,151,155,156,159,160,161,163,163,162,161,161,161,160,159,157,166,153,79,53,81,99,159,148,147,146,147,148,152,154,156,157,160,161,162,164,165,164,163,163,162,161,163,157,175,148,66,76,107,80,158,150,150,147,148,150,153,155,158,159,161,163,165,167,167,166,165,164,163,163,163,160,178,142,66,120,112,77,158,152,151,150,149,151,154,156,160,160,162,165,166,168,168,167,167,166,166,165,163,163,176,128,69,145,117,83,158,154,153,152,151,152,155,159,161,162,164,166,167,169,170,169,170,170,168,170,169,168,171,111,83,157,108,92,162,155,155,153,151,153,156,159,161,164,165,166,168,170,170,170,171,172,165,124,136,186,170,102,109,162,94,96,167,156,156,155,153,155,158,160,163,164,167,169,170,171,173,171,169,167,171,121,71,151,163,89,130,171,89,104,169,158,159,156,155,155,159,161,164,166,168,171,171,172,174,170,178,175,169,163,120,91,86,58,129,156,79,119,170,160,160,158,157,156,159,164,167,168,169,171,172,175,175,173,187,186,175,189,169,111,55,28,97,121,73,133,169,163,160,160,159,159,162,165,169,169,171,173,175,177,174,182,169,122,159,160,164,114,64,48,68,78,63,146,168,163,160,160,159,160,163,166,168,171,171,174,177,177,174,190,159,91,141,136,157,141,86,54,49,59,59,157,168,163,162,162,160,161,163,167,168,171,173,176,177,177,176,194,171,127,99,72,133,162,105,61,46,48,66,165,168,165,163,163,162,162,164,167,169,171,174,177,178,178,179,181,134,104,82,36,81,179,123,79,54,42,78,173,166,166,165,164,163,163,165,167,170,171,175,178,180,177,188,178,132,120,97,64,143,182,132,107,67,42,94,179,167,169,168,164,162,162,165,168,170,173,175,178,180,178,194,172,147,119,91,145,204,164,127,117,75,48,102,181,167,168,168,165,164,163,166,169,171,173,176,179,179,182,201,184,142,105,127,210,175,141,114,106,76,56,121,180,168,170,168,166,164,164,167,169,172,175,178,181,181,188,215,176,124,118,168,212,164,134,98,87,76,63,147,177,170,171,169,167,165,164,168,171,173,176,178,181,180,192,210,146,145,121,185,200,162,132,100,71,69,74,167,175,173,171,171,169,166,161,165,169,172,175,177,179,178,194,194,168,163,118,198,187,149,119,97,73,64,96,178,172,172,170,170,168,166,162,164,168,171,174,177,179,179,186,194,197,148,143,199,163,130,105,84,74,62,129,180,172,171,170,169,167,165,162,165,169,172,175,176,179,178,182,194,187,147,132,171,149,114,91,75,69,71,160,179,174,171,171,170,168,167,162,166,171,173,175,177,179,179,183,184,159,140,126,145,141,110,94,77,58,97,179,176,175,172,171,170,168,167,161,166,170,171,175,178,180,180,182,170,152,143,144,142,150,132,90,73,54,128,183,175,174,172,171,170,170,167,161,165,169,172,175,178,180,181,181,183,175,174,164,146,142,130,84,65,60,152,181,173,173,172,171,169,169,168
1,131,133,136,137,138,140,141,141,140,141,142,143,142,143,142,143,143,143,145,143,143,144,144,142,142,141,142,141,135,137,139,141,142,142,142,144,144,144,146,146,145,145,147,146,148,145,135,147,146,146,147,146,145,144,145,144,138,139,142,145,144,145,145,147,147,149,149,149,148,152,129,139,160,155,91,143,152,149,148,148,148,147,146,145,141,142,146,147,147,148,149,149,150,149,151,149,156,169,100,126,168,144,84,146,147,152,152,151,150,149,147,147,144,146,150,151,151,152,153,152,153,154,154,151,167,163,93,135,170,127,91,155,121,119,159,152,153,152,151,150,148,150,153,154,156,156,155,155,156,157,152,124,163,150,93,148,170,113,99,164,126,90,162,155,155,154,153,153,150,152,156,156,158,158,159,159,158,169,152,102,142,140,98,158,176,116,116,173,127,90,161,158,158,158,156,156,153,156,157,158,159,162,163,163,160,176,142,99,138,137,108,161,167,112,127,176,118,94,165,160,160,159,159,158,156,158,159,161,163,165,164,164,163,176,130,103,133,121,102,149,152,103,138,180,117,101,170,163,162,162,161,160,158,160,162,164,165,167,167,165,165,182,132,111,127,123,86,156,150,100,156,176,116,109,176,166,165,165,164,164,160,162,164,166,167,168,169,169,169,182,123,103,130,139,89,167,155,106,167,163,109,120,177,167,170,169,167,166,162,164,165,168,169,170,170,169,173,187,140,97,117,126,82,160,134,111,177,169,106,134,179,169,171,170,169,169,164,167,169,170,171,172,172,170,174,186,135,88,115,112,84,143,113,123,180,161,102,149,180,173,173,171,171,170,165,168,170,173,174,174,175,172,178,187,145,117,138,162,152,161,160,119,139,158,98,161,180,176,175,174,173,172,166,169,171,173,176,175,177,174,186,187,151,127,103,135,171,168,170,143,98,125,98,173,179,177,176,175,175,175,169,171,174,174,175,177,178,175,193,175,138,112,91,87,113,127,177,177,121,72,99,183,179,179,179,178,176,175,170,172,175,176,177,179,179,178,198,176,139,105,97,101,107,129,183,193,160,77,111,191,179,180,180,179,178,177,172,175,176,179,180,181,180,182,200,175,133,109,109,112,139,168,160,186,168,100,121,193,180,182,181,181,181,180,174,176,178,179,180,182,181,186,199,170,136,108,118,117,162,188,172,154,140,109,95,186,183,183,182,181,182,181,175,178,179,179,180,181,182,189,196,172,140,120,123,134,185,189,167,147,115,90,100,190,184,184,185,184,183,183,177,178,180,181,182,184,184,190,196,172,141,130,118,150,196,193,158,134,105,74,115,195,186,187,186,185,185,184,179,180,181,183,183,184,185,188,193,170,146,137,121,147,196,187,148,125,96,72,147,196,187,188,187,187,186,185,179,180,182,184,185,186,186,186,187,171,153,147,124,142,195,168,138,111,85,93,189,191,188,188,188,187,187,187,178,181,183,184,185,185,187,187,186,174,155,149,121,148,186,157,134,101,73,134,199,189,191,189,189,189,190,189,180,182,184,186,186,186,189,188,192,175,157,146,114,150,169,144,124,91,76,173,197,191,191,190,189,190,190,189,180,182,185,187,188,189,188,186,195,179,164,139,118,148,143,127,113,77,104,197,193,193,193,192,192,191,191,190,180,182,183,186,187,189,183,190,194,192,173,141,128,146,133,123,103,76,158,199,193,194,194,195,194,193,192,191,179,182,183,184,186,185,182,190,187,182,169,141,136,135,126,112,81,114,199,194,194,194,195,194,194,193,193,192
24,171,172,173,173,175,175,175,176,176,176,176,175,176,176,175,173,172,170,170,170,169,166,166,166,163,162,159,157,174,175,177,178,178,178,179,178,179,179,179,179,179,178,178,178,177,175,174,173,171,171,170,168,166,165,163,161,178,179,181,181,181,181,182,182,182,181,181,181,182,181,181,180,179,178,177,176,174,173,173,173,170,168,167,165,181,182,183,184,185,185,186,185,185,185,184,184,185,185,185,183,181,181,180,179,178,177,158,151,175,172,170,168,184,185,186,186,186,187,187,187,187,187,187,186,186,187,186,186,185,183,182,182,180,182,150,102,174,175,172,170,188,188,188,189,191,189,189,190,190,193,190,188,188,188,188,187,187,186,185,185,182,189,151,96,174,178,175,172,190,191,191,192,194,192,193,194,183,151,191,193,192,193,192,190,189,188,187,186,184,193,145,100,179,180,177,174,192,193,194,194,194,194,195,196,173,112,149,200,196,196,195,194,193,191,190,189,189,196,138,109,185,181,180,178,194,195,196,196,197,196,196,198,175,129,106,199,197,198,198,197,195,194,193,190,197,192,131,121,190,183,181,179,196,197,198,199,199,199,199,200,193,150,93,181,202,198,199,198,196,196,195,195,204,176,108,138,193,187,185,182,198,200,200,201,201,201,201,200,201,165,100,150,207,201,201,201,200,199,195,184,203,168,88,160,194,189,188,186,200,201,202,202,202,202,202,202,204,183,129,111,206,203,203,186,168,194,182,130,119,155,97,187,194,191,189,187,202,203,204,204,204,204,204,204,206,193,147,88,185,209,193,171,145,142,149,126,93,100,111,200,195,194,191,189,203,205,205,206,207,207,207,207,207,201,158,103,142,212,183,181,156,144,135,146,139,69,127,204,196,195,193,191,206,207,208,208,209,208,208,208,208,206,179,142,106,186,168,192,159,147,146,153,134,70,151,204,199,196,194,192,207,208,208,209,210,209,209,209,208,210,193,159,101,132,140,187,176,119,103,133,150,93,126,208,200,199,196,194,208,209,210,210,211,211,211,210,212,213,202,176,157,125,121,154,174,106,48,124,167,119,85,196,201,199,197,196,209,211,213,213,213,212,213,212,213,214,205,199,175,117,87,127,153,89,51,108,179,157,89,136,208,200,199,199,212,214,214,214,215,215,215,215,214,216,209,198,156,115,94,128,140,92,69,176,193,174,106,91,206,202,200,199,214,215,215,216,216,217,217,216,217,217,215,198,179,161,121,127,151,109,140,204,190,157,92,99,208,203,201,200,215,216,216,216,217,219,218,218,218,219,219,198,193,180,129,123,121,133,207,203,171,143,75,122,213,205,203,202,214,216,216,216,217,218,218,218,218,219,219,196,192,192,151,126,106,190,212,195,164,132,71,148,214,204,203,202,215,216,216,217,218,217,217,218,219,220,219,201,185,184,165,138,111,192,203,185,156,120,67,169,210,203,202,201,216,216,217,218,218,218,219,220,221,219,221,202,179,178,174,157,120,176,203,178,141,100,68,190,209,204,203,201,217,217,217,218,219,220,220,220,221,221,222,212,182,181,176,172,130,156,196,167,124,78,87,211,208,206,204,202,217,218,218,220,221,222,221,220,221,223,222,222,192,188,177,176,132,123,171,137,96,54,128,217,209,208,206,204,210,213,215,217,219,221,221,222,224,226,225,227,201,191,177,167,134,112,136,121,82,52,180,215,209,209,208,194,129,133,137,141,144,149,156,159,162,168,171,175,191,194,172,157,146,121,123,124,69,88,204,203,202,190,141,89
14,171,171,171,173,173,173,173,173,173,173,172,171,171,170,168,168,166,165,164,163,161,160,159,158,157,154,152,151,173,172,173,174,175,176,176,176,176,175,175,173,173,172,171,170,169,167,165,166,165,163,161,160,159,158,157,155,174,175,175,177,177,179,179,178,178,176,177,176,175,173,172,171,171,169,167,167,165,164,163,162,160,158,157,156,175,177,177,179,179,180,179,179,180,180,178,177,179,174,172,171,171,171,169,168,167,166,164,164,163,159,158,157,177,178,179,180,180,181,182,181,182,184,183,177,168,179,180,180,174,172,172,171,169,167,165,165,164,162,160,158,179,180,181,182,182,183,185,184,181,167,158,149,103,116,124,152,172,177,177,172,171,169,167,165,166,164,161,159,181,181,182,184,184,185,186,179,157,137,113,88,62,70,91,98,122,136,159,176,173,171,170,168,168,166,163,161,182,182,184,184,184,185,186,175,144,102,71,61,64,58,76,90,102,84,118,187,172,172,171,169,167,167,165,163,182,184,185,186,186,181,175,154,111,54,48,51,52,49,53,57,75,59,77,159,178,172,172,171,168,167,166,164,183,185,187,188,187,171,158,124,72,53,45,46,50,50,53,52,60,71,70,79,172,176,174,172,171,170,166,165,185,186,187,188,186,165,142,82,55,58,52,51,51,47,49,51,53,70,63,92,186,176,175,173,171,170,168,167,187,187,188,188,188,172,146,77,53,51,51,57,50,71,161,146,151,81,64,73,149,183,176,174,172,171,170,168,187,189,190,190,189,173,147,88,50,46,48,57,45,141,202,192,197,171,110,78,87,116,165,177,172,172,171,168,188,189,190,190,189,174,144,84,57,59,51,40,114,198,187,188,185,192,171,100,104,82,140,184,173,173,172,171,189,189,190,192,189,178,149,91,69,65,57,62,188,193,192,190,189,186,122,105,104,82,158,182,175,174,173,172,190,191,192,194,189,181,158,111,80,63,52,76,195,191,193,190,195,154,100,106,89,92,184,179,177,175,173,172,190,193,194,193,186,179,163,116,87,64,45,105,210,192,191,195,182,103,93,100,71,130,190,178,179,177,175,173,191,193,194,193,182,182,162,123,93,64,49,74,167,193,200,195,135,95,85,87,59,168,185,181,179,178,176,173,190,193,194,192,183,179,161,125,91,64,61,57,68,92,161,141,94,104,95,59,123,191,181,182,180,179,177,174,191,193,195,191,183,186,164,124,98,70,60,66,73,76,80,78,88,97,73,103,193,185,183,181,180,180,177,175,192,193,197,189,182,191,162,123,97,72,58,66,74,82,86,80,84,86,83,186,189,185,184,182,180,179,178,177,193,194,197,186,184,188,156,118,100,75,58,66,75,78,86,87,77,61,159,197,187,186,185,183,181,180,178,177,194,195,197,185,185,182,153,118,105,79,58,66,77,82,84,86,61,105,199,187,188,188,186,184,181,180,179,177,193,195,196,184,187,175,147,121,106,80,58,69,82,87,87,70,77,194,192,190,189,188,186,186,184,181,179,177,194,195,197,183,182,163,141,116,102,78,57,69,83,82,81,49,134,206,190,193,190,188,187,186,184,181,179,178,195,196,196,183,175,161,139,114,98,78,59,67,79,80,61,75,196,194,193,193,192,189,187,186,184,183,180,178,195,198,195,183,168,159,133,108,91,75,59,65,73,68,51,166,204,194,194,193,192,189,188,187,185,183,181,179,194,196,195,182,163,154,128,105,85,70,58,62,62,49,143,208,195,196,195,193,192,189,189,187,185,182,180,179
4,182,183,184,185,187,187,188,190,190,191,193,193,193,193,193,192,191,192,191,191,190,189,189,189,190,190,188,187,181,182,184,186,187,187,189,190,191,191,193,193,194,193,193,191,192,193,193,191,191,191,191,190,190,190,189,188,183,183,185,187,188,189,190,189,191,191,193,193,194,193,192,196,191,193,194,193,193,192,192,191,190,190,190,189,183,185,186,187,188,190,191,191,192,193,196,193,205,196,179,177,202,193,179,190,195,193,192,191,190,191,190,190,184,186,186,187,189,191,192,192,194,197,186,202,227,191,181,155,214,188,168,152,193,195,196,193,191,191,191,190,185,188,187,188,190,194,193,191,225,222,196,172,226,201,173,173,223,191,172,126,186,176,175,196,191,191,192,192,184,188,189,188,191,194,190,205,240,236,211,151,202,213,162,187,229,190,153,164,198,160,130,173,197,192,193,193,186,188,190,190,192,194,190,223,228,231,197,148,198,214,170,185,210,196,208,197,153,150,123,134,198,194,194,194,188,189,191,194,194,192,197,231,206,225,185,136,184,203,208,202,213,235,236,199,148,123,120,126,198,195,194,194,188,190,191,193,195,190,208,230,197,212,191,125,166,191,197,213,222,224,211,205,173,128,108,132,201,195,195,194,188,190,192,193,195,193,228,225,194,193,203,123,148,188,142,172,200,204,196,211,182,144,106,142,203,194,196,195,189,190,192,195,190,209,235,203,184,174,157,113,149,194,119,157,191,166,202,217,191,158,113,159,203,195,196,196,189,191,193,196,190,225,227,192,169,170,152,132,150,173,123,161,204,125,204,231,204,170,122,180,203,197,197,196,190,192,194,194,194,238,224,190,165,156,145,140,145,143,139,143,171,138,196,241,214,179,128,159,206,198,198,197,191,193,196,193,201,247,222,191,164,149,135,140,149,147,174,174,190,213,206,223,210,175,143,127,201,200,199,198,192,195,198,191,210,249,221,189,159,153,142,144,143,153,190,200,222,217,218,197,189,179,155,126,193,202,199,199,193,194,197,191,220,248,222,183,162,168,153,140,135,171,211,221,220,212,207,184,159,174,148,135,199,200,199,199,192,194,196,190,229,247,218,185,185,185,158,150,184,223,232,221,220,211,190,170,150,150,129,159,206,199,200,199,190,193,195,191,233,245,221,205,208,189,161,198,230,237,238,221,214,199,179,162,145,134,127,190,202,201,200,199,190,193,196,193,237,243,231,218,211,199,169,217,234,237,242,214,196,187,172,158,141,120,157,207,201,201,199,200,192,194,196,194,238,246,237,220,205,202,177,221,239,238,231,206,183,174,165,153,132,126,196,204,202,201,200,200,192,194,199,192,230,249,237,224,205,198,192,224,237,225,213,195,173,166,159,142,120,161,208,200,202,202,202,201,193,195,198,192,220,245,229,220,210,198,197,213,222,211,195,179,170,168,152,128,129,199,204,204,202,202,201,200,193,194,198,192,223,236,218,216,216,204,199,206,214,202,188,171,165,162,144,120,172,210,202,202,203,201,200,199,192,194,198,191,222,229,210,215,217,200,187,203,214,201,182,161,156,154,131,149,207,205,204,203,201,201,201,201,191,194,198,192,215,231,214,215,208,199,182,196,216,197,167,147,149,141,134,194,204,202,203,202,200,200,200,199,151,151,155,144,191,241,221,221,207,201,185,187,213,185,156,144,142,132,131,146,144,143,144,143,142,145,144,140,127,125,130,116,172,251,231,226,213,206,190,179,209,185,155,141,134,126,122,121,118,119,119,118,119,117,122,176
11,114,119,125,132,136,141,145,150,152,154,156,158,160,160,162,162,162,162,162,162,162,161,160,159,127,108,141,185,117,121,127,134,138,143,147,150,154,156,157,158,177,146,161,162,162,162,161,162,161,160,158,158,133,123,142,188,121,125,132,138,142,146,150,154,157,159,161,160,193,130,146,163,163,163,163,162,161,160,158,157,147,179,180,188,124,129,137,143,148,153,157,160,163,164,165,166,206,136,124,167,166,166,165,164,163,162,160,157,173,155,185,187,130,134,142,148,154,159,163,167,169,171,172,172,210,134,113,172,171,170,170,169,168,166,165,163,169,138,189,188,133,139,149,155,160,164,169,173,176,178,179,180,210,127,118,178,177,177,176,175,173,172,170,167,171,183,182,188,137,144,154,162,167,171,175,179,183,185,186,191,216,124,127,185,184,183,182,182,180,177,175,172,170,160,147,185,139,148,159,168,173,178,183,186,189,191,192,208,215,106,143,192,190,188,188,187,186,183,181,178,175,170,166,184,143,153,166,173,178,183,189,193,195,197,198,217,198,103,162,198,196,195,194,193,191,189,186,184,182,179,181,193,146,157,170,178,183,188,193,198,200,201,209,213,128,91,171,202,201,199,199,198,197,194,192,190,187,183,186,203,151,161,174,182,188,193,198,202,205,206,199,199,130,91,181,206,206,205,205,204,202,200,197,195,191,188,189,205,155,165,177,185,191,197,202,207,222,218,127,117,143,104,188,210,210,210,209,208,207,204,202,200,196,192,192,207,157,169,181,189,194,200,205,196,210,201,130,96,137,116,173,214,213,213,214,212,210,208,206,203,200,188,172,205,159,171,184,192,198,207,224,176,117,137,155,108,116,117,148,217,217,217,217,215,214,211,209,206,204,133,105,198,162,175,187,195,209,226,213,188,145,104,142,118,94,123,119,218,221,221,220,217,211,198,181,177,170,88,70,100,165,178,190,208,228,190,154,171,178,120,100,107,85,131,114,203,223,222,215,207,209,188,166,158,136,87,70,65,166,180,192,227,213,155,114,101,169,124,83,99,78,144,148,163,208,214,219,214,201,173,143,121,100,75,66,64,169,181,194,225,195,137,99,75,140,127,88,108,72,119,154,113,173,213,215,187,148,113,75,57,64,58,61,64,171,183,193,215,174,122,94,79,107,134,98,125,92,128,149,138,179,193,164,117,85,63,52,50,51,51,54,59,172,185,194,216,191,142,109,88,91,118,114,145,125,185,163,134,152,132,91,56,59,62,48,46,48,48,55,31,172,185,195,221,199,152,123,97,98,114,154,193,196,191,150,119,113,61,50,51,44,57,57,42,40,44,45,27,172,185,195,222,205,168,136,104,112,126,195,224,211,173,129,105,64,50,36,53,44,44,56,51,36,35,36,35,172,186,196,218,206,178,142,114,123,135,202,213,186,149,114,72,28,50,42,39,51,43,45,51,44,34,34,35,172,185,197,208,203,185,149,130,130,139,185,200,167,129,102,65,22,35,53,37,45,49,40,40,47,35,34,34,142,151,158,171,201,190,157,144,133,137,166,186,157,118,80,55,32,23,50,48,38,45,45,36,39,41,28,32,117,117,117,131,199,188,164,151,133,123,154,159,130,91,40,43,45,15,37,51,43,40,41,37,32,39,29,24,118,118,119,133,203,191,168,150,131,115,133,124,97,55,25,34,53,20,23,49,46,42,38,35,28,32,33,22,119,120,121,127,201,190,162,144,128,116,121,107,55,37,29,29,53,33,13,38,49,40,38,36,31,29,25,26
3,143,146,149,151,155,157,159,159,160,160,160,160,161,159,159,154,173,175,86,136,156,151,150,148,145,144,142,140,145,150,152,153,157,159,161,163,163,164,163,162,163,162,162,156,178,162,72,108,164,152,151,151,148,146,144,142,147,151,154,156,159,162,163,165,166,166,166,165,165,164,163,159,177,151,73,98,166,153,153,153,150,147,145,143,149,153,156,158,161,164,166,167,168,168,168,167,167,166,165,161,177,153,73,94,166,155,156,153,151,150,148,145,152,155,158,161,163,166,168,170,171,170,170,170,170,169,167,163,181,179,95,86,164,158,157,156,153,152,149,146,155,157,160,163,166,168,170,172,174,174,173,173,172,171,170,163,188,184,95,78,163,160,158,157,154,152,151,149,156,160,163,166,169,172,174,175,175,175,176,175,174,173,173,165,192,173,84,75,166,162,160,159,156,153,152,151,157,161,166,169,172,175,176,178,179,178,178,178,176,176,175,167,193,172,87,78,170,165,163,160,158,155,153,152,160,164,169,172,174,176,179,181,181,182,181,181,180,178,177,172,205,168,89,77,170,166,165,162,160,158,156,153,161,166,171,174,176,179,181,183,184,185,184,183,183,179,180,168,152,125,66,75,175,166,166,165,161,158,156,153,163,169,173,176,179,182,184,185,186,186,186,185,183,186,208,161,86,52,30,98,182,167,169,167,163,160,157,155,165,171,175,178,182,184,186,188,189,188,188,184,182,162,159,165,116,71,12,143,184,170,171,169,166,162,159,157,167,172,176,180,183,186,189,189,190,191,185,201,200,127,61,128,192,103,57,121,167,179,174,170,167,165,162,159,168,173,177,181,185,188,189,192,186,195,156,112,173,135,80,103,200,96,73,52,88,114,172,172,168,167,165,161,168,174,179,183,187,190,191,191,207,208,156,86,120,160,102,77,158,107,93,73,106,65,143,181,168,168,166,164,170,175,180,184,188,191,191,200,211,193,178,131,86,155,100,63,119,120,107,85,101,52,131,185,170,170,167,164,170,176,181,185,188,192,191,215,211,179,188,137,78,120,99,62,108,78,67,100,77,40,128,187,172,172,169,167,169,175,181,185,189,191,191,210,201,150,156,135,69,85,96,44,140,142,48,124,109,42,102,188,172,170,168,166,173,176,182,187,190,193,195,197,197,169,155,112,47,78,79,24,135,150,52,104,115,40,81,189,172,171,167,164,172,178,183,187,190,193,195,201,212,192,168,100,73,83,93,53,117,122,95,96,83,34,128,185,171,171,173,176,171,178,185,188,190,193,194,200,216,200,184,105,81,82,107,121,178,153,121,98,45,64,187,185,187,184,160,114,174,181,187,191,194,197,201,203,216,210,179,123,102,91,160,191,166,131,90,82,41,137,193,148,120,89,39,11,118,119,121,122,124,124,121,121,197,205,170,147,116,106,172,181,143,108,81,68,42,74,52,11,0,0,0,3,90,92,91,92,91,88,91,74,157,204,171,151,131,96,134,147,115,87,69,49,15,0,0,0,2,0,0,0,99,100,99,99,99,100,111,76,74,202,172,150,130,87,88,86,79,65,48,15,0,0,1,0,0,2,0,0,100,100,98,97,98,98,100,71,10,100,164,153,107,66,68,66,68,38,0,15,0,0,0,0,0,0,0,0,100,102,103,101,100,101,94,43,26,20,64,96,75,70,61,53,40,0,0,0,8,0,0,0,0,0,0,0,101,102,102,100,99,103,74,28,30,27,14,27,60,52,31,21,0,0,0,0,9,0,0,0,0,0,0,0
24,194,195,194,195,195,196,196,196,196,195,194,194,194,192,189,188,187,185,183,182,180,178,177,175,172,169,168,165,198,198,198,199,199,200,198,198,198,198,198,198,197,195,194,193,190,188,186,190,186,182,181,179,177,175,171,168,202,202,203,205,203,203,203,201,202,203,203,203,200,198,197,196,195,194,190,151,179,190,185,183,181,178,174,171,205,205,206,205,206,206,205,207,205,206,206,205,204,202,200,200,199,197,200,111,131,200,185,186,183,181,178,175,208,209,208,209,209,212,214,207,207,207,207,207,206,205,204,203,201,201,208,112,122,203,189,189,186,185,182,179,213,213,213,214,217,182,187,218,210,212,212,211,210,208,207,206,203,207,208,108,128,208,194,194,192,189,186,184,215,215,216,216,215,154,103,211,218,217,217,215,215,213,211,211,205,216,204,99,147,211,195,197,194,191,188,188,217,218,217,217,216,169,92,158,231,216,219,219,217,215,214,214,207,225,199,99,166,212,198,198,196,194,191,189,221,221,220,220,226,195,117,114,234,217,220,222,219,217,217,216,219,224,170,88,188,211,203,201,199,198,194,191,223,223,223,222,226,212,144,82,217,225,222,223,227,224,220,209,213,229,143,82,211,208,207,207,203,200,197,195,224,225,225,224,226,223,180,86,171,239,224,225,194,196,224,182,111,156,136,115,226,209,211,208,204,203,200,197,227,227,227,227,227,229,196,110,110,241,227,206,171,143,161,154,108,81,93,152,228,212,214,210,206,205,203,200,230,230,231,231,230,235,203,141,80,214,227,198,192,158,145,131,163,121,41,186,227,215,215,213,210,209,206,202,233,233,232,233,232,235,216,184,107,153,205,192,203,155,159,158,167,114,55,213,223,218,216,216,213,209,208,204,234,235,235,234,233,234,228,208,127,98,146,158,225,160,111,115,149,141,63,191,232,222,219,217,215,212,210,207,235,236,237,236,237,238,238,212,169,148,127,126,199,168,70,38,175,168,78,122,242,219,222,219,218,216,211,207,237,238,237,238,239,240,239,218,223,165,103,73,171,140,65,31,147,194,138,61,201,229,222,222,221,218,214,211,240,240,241,241,241,240,242,225,213,136,102,78,163,125,54,81,212,213,175,63,137,241,220,223,221,218,214,213,242,243,243,243,245,243,245,234,211,177,165,101,156,155,80,181,229,202,150,57,144,241,221,223,222,219,216,215,242,244,246,245,245,246,248,239,215,210,177,113,135,121,155,244,210,181,131,41,179,240,224,225,224,220,218,216,243,244,245,245,245,244,248,242,205,224,191,153,103,128,231,238,204,165,119,52,208,237,226,226,224,224,221,217,243,244,243,244,245,246,248,243,210,206,194,174,115,141,233,221,193,157,100,62,225,232,227,226,224,223,219,217,245,245,245,246,247,249,247,249,210,194,191,188,142,127,220,220,180,140,76,78,239,229,228,225,223,220,216,213,246,247,248,249,249,250,249,254,219,196,196,191,175,122,203,216,168,118,46,125,250,229,230,227,225,219,221,225,246,247,248,247,246,248,249,252,238,205,203,190,190,108,160,189,129,85,25,184,244,229,230,226,226,236,209,158,254,255,255,255,255,255,255,255,255,211,210,192,171,119,118,149,107,55,50,234,238,234,236,242,223,174,80,30,161,166,172,179,183,188,193,198,202,218,206,179,161,146,107,139,114,33,130,245,228,228,207,147,81,32,22,22,99,99,101,102,99,98,98,92,111,221,213,195,189,159,128,141,96,40,94,114,108,94,63,26,25,31,21,20
19,138,145,152,158,162,163,166,168,172,175,178,181,183,186,188,189,191,191,193,195,197,198,199,198,198,199,199,199,139,147,153,160,162,164,167,170,175,178,181,184,186,189,189,191,193,194,196,197,200,200,199,201,199,202,201,201,140,149,155,161,163,166,169,172,176,180,182,185,190,191,189,194,195,196,198,198,200,198,208,193,200,202,202,202,143,150,157,162,166,168,169,174,179,179,195,190,165,183,197,194,196,199,199,200,196,217,231,136,185,206,201,202,144,152,159,164,167,168,172,176,181,179,229,199,153,130,190,196,196,198,208,210,221,223,162,126,198,206,204,204,145,153,161,166,168,169,173,180,183,177,218,215,167,153,197,212,201,206,219,217,198,150,124,187,209,206,206,205,146,154,162,169,169,169,181,171,176,184,201,214,205,212,206,203,194,179,193,172,131,144,194,212,205,207,207,207,148,156,163,169,164,207,216,178,170,175,190,197,189,175,168,176,163,142,139,143,179,213,211,207,209,209,209,210,149,157,165,167,175,231,190,181,185,192,200,198,188,175,170,153,152,125,194,210,215,208,210,210,209,210,211,210,148,157,167,162,190,210,168,169,178,194,198,194,194,187,163,124,114,145,222,210,210,212,211,210,211,212,212,212,150,157,167,163,213,212,183,183,189,184,173,170,170,149,136,118,100,171,218,210,213,213,212,212,214,214,213,213,152,159,166,172,249,223,202,198,199,192,189,183,163,113,113,116,106,194,217,213,214,214,213,213,216,215,214,214,154,162,166,179,240,216,195,179,171,182,184,176,148,114,111,117,117,205,214,215,217,216,216,216,216,215,217,216,154,163,167,176,220,210,182,160,137,131,146,146,145,117,115,113,144,219,213,215,217,217,218,218,217,217,217,217,155,164,169,174,212,211,182,131,119,90,91,142,154,121,120,115,142,222,214,217,217,217,219,220,220,220,218,218,157,166,172,172,211,214,182,143,109,80,129,154,146,114,113,111,120,212,218,218,219,219,221,221,221,221,220,220,156,165,174,168,212,212,182,152,129,100,99,103,96,96,106,115,117,207,221,219,220,221,221,221,221,221,221,221,157,167,173,166,219,216,185,158,132,119,109,92,94,104,110,115,121,210,221,219,220,222,221,221,221,221,221,221,159,168,175,164,217,214,183,155,134,126,126,109,101,106,113,112,131,218,218,221,223,224,224,223,223,224,223,223,160,167,175,162,207,206,179,153,132,125,122,111,103,110,117,112,157,227,218,223,224,224,223,223,224,224,224,224,161,167,176,167,205,199,175,147,131,125,122,112,108,114,121,113,194,226,221,224,224,225,225,225,226,226,226,226,162,170,174,177,211,194,170,144,128,123,124,118,116,120,110,145,223,220,223,225,225,226,226,226,226,226,226,226,162,172,171,183,216,193,165,140,127,125,127,122,118,114,156,215,221,221,224,224,224,226,226,226,226,226,226,226,163,173,171,189,207,188,167,147,132,128,126,123,110,148,222,218,220,223,224,226,225,227,227,227,227,227,228,228,164,172,172,197,201,180,163,148,130,120,117,118,112,192,220,218,223,223,225,227,227,227,228,228,229,229,228,228,164,172,177,216,195,177,152,136,124,113,112,111,122,206,219,221,224,224,225,228,228,228,230,230,230,230,230,230,165,169,185,219,198,182,160,146,146,119,111,106,135,216,217,222,223,225,226,227,227,229,230,230,230,230,230,231,165,174,181,206,201,184,166,159,153,119,111,104,137,218,216,219,221,223,225,226,227,227,229,229,229,230,230,230
12,176,177,177,177,177,178,178,178,179,179,179,179,179,179,179,178,178,179,179,179,179,179,178,177,176,175,175,174,179,179,179,180,179,179,180,180,181,181,181,181,181,181,181,180,180,180,181,181,180,181,180,179,178,178,177,175,180,180,180,181,181,182,183,181,183,182,184,185,184,183,184,182,181,182,183,183,182,182,181,181,180,178,178,177,182,182,183,184,183,184,185,183,185,185,187,186,185,185,186,185,183,184,184,185,184,183,182,182,181,180,180,179,184,184,185,186,185,185,187,187,186,184,180,184,191,178,179,188,186,187,186,186,185,186,186,185,183,183,183,182,186,187,187,188,187,188,188,187,199,202,169,140,195,182,145,162,192,189,190,188,187,188,188,187,186,185,185,184,188,188,189,189,189,189,191,188,225,226,193,130,156,213,164,126,186,172,170,190,190,189,190,189,188,187,187,186,188,188,190,192,191,191,191,192,224,231,208,152,121,210,186,140,120,154,123,153,196,191,192,189,190,189,189,188,190,192,193,194,193,193,193,195,222,215,218,176,117,172,192,151,94,114,121,97,191,194,192,192,192,191,190,190,192,193,195,194,194,193,198,186,205,192,207,195,151,112,157,128,77,70,100,87,183,196,195,194,194,193,192,191,193,194,196,196,192,207,222,158,134,153,168,168,123,83,102,106,85,146,111,90,191,196,197,196,194,194,194,194,194,195,196,195,214,233,205,146,115,135,115,142,133,111,143,176,174,160,100,100,200,199,199,198,196,195,195,195,195,196,196,206,228,207,199,161,122,86,89,93,134,147,165,208,221,190,121,122,208,200,200,200,198,198,197,196,195,197,196,221,208,184,205,179,132,86,88,90,83,92,130,208,225,221,177,127,168,204,201,200,199,199,198,198,196,196,204,221,200,167,202,182,156,102,84,96,103,115,165,199,203,193,176,157,113,189,203,201,201,200,200,199,197,196,212,230,203,163,151,200,188,127,85,102,126,178,210,201,197,164,152,162,109,171,207,202,202,201,201,200,200,199,208,234,220,189,144,156,180,181,116,110,198,216,204,197,185,157,130,126,101,192,205,203,202,201,201,201,199,198,207,236,229,201,167,157,144,149,141,193,231,216,200,189,170,147,115,93,123,209,206,205,203,202,202,201,200,199,206,230,231,216,186,176,159,132,182,228,225,218,186,170,150,141,104,82,169,210,206,206,204,204,203,203,201,201,202,223,228,227,206,188,170,160,169,222,220,206,173,147,141,133,95,103,205,208,206,206,205,205,204,204,199,200,195,213,234,230,212,194,176,173,167,215,209,184,160,130,145,122,81,147,214,208,206,206,206,206,206,206,198,200,197,192,230,220,202,191,180,177,174,195,192,161,141,137,142,107,85,192,210,208,206,206,206,206,206,206,200,201,202,189,224,207,192,185,183,177,173,180,176,160,137,136,125,87,125,211,208,207,206,207,206,206,204,204,201,201,202,197,221,208,198,198,192,178,168,177,183,161,125,116,101,93,190,211,208,207,207,207,206,206,205,203,202,201,201,197,221,214,206,204,192,185,166,179,183,140,108,101,85,161,213,209,209,208,207,207,207,206,206,205,201,202,203,196,222,220,212,212,195,193,163,173,168,129,102,86,122,212,211,210,209,208,209,209,207,207,207,206,200,201,203,195,215,228,217,217,201,193,160,160,158,129,98,82,185,214,209,209,208,209,209,209,208,207,207,207,197,199,202,195,211,230,213,207,197,188,154,147,157,124,86,105,211,210,210,209,209,210,209,208,208,207,208,208
4,56,62,77,88,93,98,103,106,109,112,113,115,118,120,123,126,126,128,130,129,131,132,133,134,134,133,134,135,57,64,79,90,95,101,103,107,111,112,114,117,118,121,122,125,129,130,130,133,133,133,134,135,136,135,136,136,58,66,82,90,95,100,104,109,112,114,112,114,119,123,129,124,112,123,130,121,130,138,135,136,138,138,138,138,59,66,83,91,96,101,105,110,113,112,130,131,113,117,156,133,84,62,113,89,69,134,140,137,139,139,139,139,59,69,84,91,98,103,106,109,118,119,117,144,141,90,112,125,77,41,70,91,46,98,147,137,140,140,140,140,59,71,86,92,99,103,108,107,142,140,111,95,107,82,67,104,69,37,86,96,43,85,149,138,141,141,142,141,60,73,88,93,100,105,105,121,155,149,129,99,56,55,63,131,76,46,118,81,28,95,150,139,142,143,144,144,61,75,89,94,100,105,102,139,136,115,123,78,48,40,58,118,85,115,120,84,36,112,148,140,144,144,145,145,62,77,90,94,100,107,103,145,117,101,118,56,38,48,32,75,111,129,105,106,76,102,150,142,144,145,146,147,64,78,90,95,101,107,108,156,129,117,107,66,28,77,100,110,113,102,97,120,103,81,114,153,146,147,147,147,65,81,91,96,102,104,117,158,118,97,89,67,14,82,114,96,96,63,92,132,120,111,73,120,154,146,148,148,67,83,92,97,103,102,126,151,109,86,69,44,18,22,52,60,50,47,90,120,133,121,92,65,133,152,149,149,68,84,92,97,105,100,143,159,120,97,82,60,36,24,29,32,71,135,132,127,124,108,103,67,84,156,148,151,69,84,92,99,105,101,157,155,120,110,87,61,46,44,75,117,147,153,138,127,109,83,85,65,85,157,149,152,70,85,93,99,104,105,166,156,137,118,86,71,57,67,128,151,155,154,139,117,99,72,66,57,124,155,151,152,70,86,94,99,103,108,174,160,141,112,86,83,63,102,146,147,155,151,130,107,87,69,52,78,156,150,152,153,73,87,94,100,104,108,170,161,136,110,96,96,81,122,143,143,150,142,119,97,80,64,46,126,158,151,154,155,75,88,94,101,106,109,168,158,132,120,118,105,102,130,140,147,139,126,107,87,75,53,77,157,151,153,154,155,75,89,95,101,106,109,157,157,144,135,127,109,111,133,139,139,124,109,95,78,66,48,131,158,152,154,155,156,77,88,93,101,108,106,144,163,154,143,125,106,95,119,126,122,110,97,85,73,50,85,159,153,154,155,157,157,79,89,93,101,109,108,131,163,145,137,123,102,87,106,114,111,97,85,76,62,53,142,156,155,157,157,157,158,80,90,94,101,109,110,122,158,136,122,112,93,94,104,115,110,94,80,71,47,107,160,153,156,157,158,158,158,82,89,95,103,109,112,118,148,124,116,106,96,112,100,101,104,86,72,54,63,153,155,155,156,158,159,158,159,82,89,97,104,109,114,116,151,127,123,112,116,121,101,88,94,80,66,45,113,161,153,154,156,159,159,160,160,82,90,98,104,110,111,144,145,143,126,119,117,109,96,81,83,74,63,48,140,157,153,155,158,159,159,160,161,83,90,97,105,104,129,159,140,120,126,125,115,99,91,76,73,66,58,44,138,159,154,157,159,160,160,160,161,85,90,98,104,110,159,146,152,129,80,113,108,93,86,64,63,62,54,45,140,157,156,158,158,160,160,161,161,85,91,101,100,134,159,143,146,159,113,63,88,89,80,57,61,59,51,41,137,157,157,158,159,160,161,161,161
6,160,160,161,162,161,162,162,161,163,164,163,164,164,163,164,164,162,163,163,164,164,163,162,162,162,161,161,161,161,161,162,163,163,163,163,163,163,163,163,164,165,165,165,165,165,165,165,165,164,165,164,163,163,162,162,162,161,162,163,163,163,163,164,165,164,163,163,164,165,166,166,166,165,165,167,167,167,166,165,164,164,162,163,164,162,162,163,164,164,164,165,166,166,166,165,165,166,166,167,168,168,168,167,168,167,165,165,166,163,165,165,164,162,164,163,163,166,166,166,166,166,167,169,167,167,167,165,161,157,158,157,158,154,148,136,136,153,149,163,166,164,164,164,165,166,166,166,167,167,166,164,162,155,154,156,150,153,155,168,168,158,150,138,129,140,122,158,168,163,164,164,166,166,168,167,163,156,150,152,152,152,164,165,154,145,148,150,143,131,117,110,113,119,137,168,167,162,163,165,167,167,165,162,158,149,142,140,145,148,143,135,121,110,103,103,115,123,132,144,156,164,169,168,167,163,164,165,163,162,161,160,160,150,132,113,106,101,90,88,89,93,123,156,169,172,174,173,171,169,168,167,167,162,162,161,157,156,158,159,158,156,143,106,78,69,73,96,126,156,174,172,171,168,167,168,168,168,168,167,166,162,156,155,156,158,156,158,162,161,134,100,75,70,74,95,171,175,167,169,169,168,168,168,168,168,168,167,166,154,155,156,156,154,158,164,164,138,98,87,75,71,78,75,92,158,176,168,169,169,168,168,168,168,167,167,167,156,157,154,156,156,161,160,160,150,128,93,69,69,83,80,69,74,150,176,169,169,169,170,170,169,168,168,168,162,158,155,158,160,159,160,169,170,147,102,70,64,77,93,90,75,77,168,172,171,172,171,170,168,168,168,168,158,159,159,156,159,163,162,172,164,128,94,73,71,70,76,82,86,64,140,177,169,171,170,170,170,168,168,168,160,160,157,156,158,160,157,162,155,119,86,72,73,73,64,66,71,86,161,177,174,174,174,174,173,173,170,167,162,157,154,152,149,151,153,157,155,131,92,63,69,77,78,76,63,127,155,155,158,161,163,162,157,157,166,171,158,155,154,153,151,153,157,162,165,141,93,66,58,66,93,76,71,83,83,86,89,87,83,91,122,151,175,174,155,159,158,156,156,160,161,167,162,128,81,69,70,61,68,80,81,85,82,80,75,96,122,149,174,174,180,180,157,157,153,152,152,148,145,153,134,104,82,74,72,70,69,86,95,84,92,105,136,174,185,167,155,161,162,173,152,146,143,145,137,129,128,129,111,95,85,81,77,69,71,79,101,144,166,172,178,167,161,162,154,147,156,160,141,142,137,130,123,119,119,114,99,85,81,83,82,72,80,122,178,190,182,173,164,152,144,146,151,143,137,140,122,126,124,116,110,104,94,92,93,84,86,82,84,112,163,191,182,168,166,163,151,139,136,136,144,140,131,135,89,94,94,91,84,80,80,83,85,87,79,110,162,190,190,183,173,163,159,162,143,124,131,131,134,136,131,132,67,68,74,76,78,83,85,86,88,75,123,177,187,181,174,169,160,159,159,160,137,109,122,127,123,132,128,125,76,77,84,86,82,84,86,86,74,130,185,169,171,159,167,162,149,154,159,160,133,99,110,120,121,126,122,128,82,82,83,83,82,84,83,75,134,184,163,157,157,158,164,153,141,145,155,158,135,95,96,112,116,119,126,123,82,81,82,82,83,82,90,145,180,166,157,148,156,157,161,146,134,135,149,159,137,97,90,104,115,121,130,116
16,110,106,104,102,102,105,104,108,108,114,130,142,154,164,173,181,185,187,192,193,199,207,211,216,221,225,228,231,109,106,104,102,102,103,104,107,105,114,130,142,153,162,172,182,187,185,189,195,201,203,211,216,220,224,227,231,108,106,103,101,102,103,104,104,104,114,128,139,151,162,172,179,183,207,189,165,189,211,213,212,219,223,226,230,108,104,102,101,101,101,103,104,103,114,128,139,151,159,172,178,218,226,190,157,132,148,195,223,219,221,225,229,109,104,100,100,101,101,102,102,103,113,128,143,141,205,225,221,227,198,167,159,139,108,104,158,219,231,229,230,107,104,101,100,101,102,101,100,102,111,129,126,169,250,221,206,200,178,158,138,129,125,106,89,120,181,213,230,105,104,102,100,100,100,101,101,100,114,118,150,235,216,188,184,173,162,143,118,123,128,114,105,96,96,118,149,106,104,100,99,100,99,100,101,103,106,124,219,216,183,176,162,142,132,118,116,112,127,128,110,110,101,96,94,104,100,99,97,98,96,98,102,92,132,195,197,174,167,150,129,119,109,111,113,90,129,127,136,115,106,100,95,101,98,97,96,98,96,99,91,110,230,197,165,158,142,118,111,101,95,108,94,80,138,132,150,123,113,100,91,98,95,90,91,92,92,97,69,198,249,193,157,125,112,106,98,85,96,97,64,87,144,135,148,129,115,99,92,168,163,161,156,150,147,137,148,248,223,177,132,99,87,85,79,85,95,66,45,105,140,134,155,138,129,108,102,146,142,142,139,138,138,132,230,226,193,144,106,82,78,75,57,63,53,34,31,105,133,135,171,164,143,121,104,137,136,136,137,138,123,169,228,183,150,112,89,74,79,63,35,29,20,24,21,90,134,144,181,167,145,137,98,143,143,142,144,138,143,230,198,146,105,92,79,76,78,61,27,16,19,23,17,64,121,157,188,137,142,142,90,143,145,145,147,128,199,229,160,112,78,74,79,85,86,86,69,26,20,24,28,26,116,195,160,113,134,128,81,144,147,150,137,162,218,167,119,79,106,92,83,89,94,91,92,59,53,59,47,52,190,186,130,107,112,96,81,143,147,143,147,218,171,118,76,100,159,114,116,111,104,99,88,79,76,78,53,155,204,152,112,96,90,79,81,146,146,132,206,194,120,79,84,141,127,108,114,116,106,102,93,81,82,57,95,224,180,127,91,84,76,78,83,145,146,140,184,138,84,87,136,144,130,134,117,99,88,91,84,76,81,74,174,229,181,100,77,75,72,80,78,142,146,145,145,132,126,141,144,145,146,143,136,126,109,120,119,116,133,135,227,227,188,99,61,69,89,85,77,142,143,144,144,146,147,143,143,144,144,144,147,147,148,148,147,148,148,138,231,233,188,111,62,106,95,85,82,139,143,144,143,142,143,142,142,144,145,144,146,145,145,145,144,145,146,135,201,214,175,99,119,176,111,105,101,138,141,142,142,143,143,142,143,144,144,145,146,146,145,146,145,146,148,140,163,183,131,100,142,182,146,114,115,139,141,142,142,142,142,142,143,143,143,143,144,145,145,145,146,146,145,145,145,151,121,123,139,169,200,145,129,138,141,140,142,142,142,142,142,143,144,144,145,145,146,145,145,146,146,144,145,145,146,148,142,143,215,184,161,138,139,141,143,142,141,142,141,143,144,143,144,144,144,145,145,146,146,145,145,145,144,147,149,132,206,213,183,140,139,141,142,140,140,142,141,142,143,142,141,143,143,143,143,145,145,144,145,146,145,147,149,129,189,230,196
18,138,139,140,141,142,143,144,143,143,144,145,144,144,144,143,142,141,141,142,141,140,138,139,138,137,137,136,134,139,141,142,142,142,144,145,146,145,145,145,145,145,144,144,144,143,143,143,142,143,140,140,139,139,138,136,136,140,143,145,144,144,145,146,147,146,147,146,146,145,146,145,145,145,144,143,146,144,142,140,140,139,139,138,137,141,143,145,146,146,146,147,147,147,149,149,147,148,147,147,146,147,144,148,131,135,144,143,142,141,140,140,139,143,145,146,146,147,148,149,150,149,150,150,149,150,151,149,147,146,149,172,102,98,152,143,144,143,141,140,140,145,146,147,147,149,149,150,151,150,151,151,150,148,147,148,152,140,155,179,108,64,150,145,145,143,144,142,142,146,147,148,150,151,152,152,152,151,152,151,154,160,125,98,124,106,121,180,139,61,102,157,143,146,146,144,144,148,149,150,151,152,153,153,155,154,154,153,153,163,153,112,84,91,132,180,146,87,52,130,152,145,146,145,145,148,150,150,152,153,154,156,156,155,154,159,132,91,121,138,97,67,94,153,150,109,88,63,134,153,147,147,145,150,151,152,153,155,156,157,155,159,172,161,135,101,59,125,109,68,48,74,127,122,98,62,76,160,146,148,146,150,152,153,154,156,156,157,154,182,179,177,140,114,67,78,102,60,37,37,122,140,102,72,70,158,148,149,148,151,153,155,156,156,159,155,170,170,160,178,142,118,76,46,65,54,34,33,133,147,120,71,73,159,149,150,150,151,154,156,157,159,158,161,192,172,144,155,135,114,72,43,52,43,35,30,109,145,129,74,64,160,152,152,150,153,156,157,158,158,160,179,170,145,146,148,97,78,58,48,76,30,28,41,118,145,130,77,63,160,151,153,152,154,157,158,160,157,169,192,167,131,114,124,69,64,47,70,72,55,99,102,115,136,114,71,60,161,153,153,153,156,158,159,160,159,171,195,177,156,108,85,101,67,11,77,115,142,143,139,100,101,98,75,51,153,156,154,153,157,159,160,162,158,181,193,182,159,118,89,98,50,32,157,168,158,135,121,106,73,90,79,47,148,160,156,156,158,159,161,162,162,189,192,174,134,115,103,89,59,136,181,164,154,131,102,106,76,74,64,56,160,157,157,156,159,160,162,161,167,190,190,166,136,127,96,67,118,174,169,159,142,125,106,96,82,67,43,106,168,157,157,156,158,160,163,162,171,191,188,162,136,134,94,102,153,177,163,150,140,125,100,90,77,55,48,156,160,159,158,157,159,160,162,163,173,189,183,163,147,145,94,132,147,167,156,141,135,116,88,81,70,37,91,169,158,159,158,158,160,162,164,163,173,186,180,165,157,129,100,108,145,147,146,134,124,103,83,72,58,38,147,165,160,160,159,158,160,163,164,162,173,186,178,173,155,115,85,105,131,136,132,128,112,93,74,64,32,94,172,160,162,161,160,160,162,163,164,164,176,176,171,167,132,91,85,116,123,133,127,115,101,78,61,40,53,162,164,164,165,163,161,161,161,160,164,164,180,173,168,155,132,113,111,116,127,129,121,102,89,71,49,35,143,169,163,165,164,163,161,161,166,171,165,166,188,183,182,168,157,141,123,104,122,126,109,86,75,59,28,119,174,163,166,165,164,163,162,162,138,123,160,179,189,181,181,168,148,130,118,96,113,117,94,78,66,36,105,175,165,166,165,165,165,163,163,162,80,47,57,144,183,179,176,162,141,116,111,96,109,103,83,72,42,86,178,167,168,167,167,166,165,165,165,164
12,141,143,146,145,145,147,147,146,147,149,148,147,149,151,149,149,149,148,148,148,149,150,147,147,147,146,147,147,145,147,147,148,148,149,150,150,150,151,151,153,152,149,152,154,151,149,150,150,152,152,150,150,150,149,148,146,147,148,149,150,151,152,152,154,153,154,152,139,149,169,141,127,149,155,154,153,153,155,153,151,151,151,151,148,148,150,153,152,153,154,152,155,151,186,169,129,106,194,162,110,97,163,153,156,159,154,155,154,154,153,153,153,150,153,155,155,155,156,157,156,160,216,192,155,84,165,198,141,62,138,150,116,136,163,156,158,157,156,156,154,154,155,156,158,158,158,159,156,167,218,211,167,96,121,213,159,98,55,143,112,62,144,163,159,161,158,157,156,155,156,158,158,159,162,163,159,171,206,214,174,116,86,203,168,127,46,104,126,40,86,175,160,164,162,161,159,156,158,159,159,160,163,164,159,176,190,201,192,133,65,163,178,127,66,39,105,50,75,178,163,165,162,162,161,158,159,162,164,164,165,164,164,166,143,177,192,165,116,92,164,113,49,0,54,46,86,179,164,166,165,165,164,160,162,164,164,167,158,169,198,133,98,127,153,166,114,41,66,69,7,36,86,29,104,180,166,168,166,166,167,160,161,165,169,163,181,213,184,98,70,78,68,114,72,33,50,96,67,124,103,29,137,176,168,170,169,167,167,163,165,165,163,180,218,193,150,98,73,30,23,47,98,87,106,152,184,153,81,28,162,180,170,173,171,170,170,163,165,168,167,206,184,154,163,125,92,34,27,33,33,47,74,134,193,200,173,99,73,163,177,172,172,171,172,165,164,165,173,204,173,139,169,138,93,47,20,45,48,45,36,140,180,202,177,131,78,66,180,174,173,172,172,166,164,163,193,202,168,122,151,156,143,94,28,49,72,58,139,189,176,167,144,134,124,53,151,181,174,174,173,166,168,167,188,216,187,142,87,150,180,115,44,44,76,137,197,189,176,159,107,115,105,55,165,180,175,176,175,167,168,169,181,216,202,168,109,92,133,168,134,47,159,207,188,179,163,145,104,81,58,75,188,177,176,176,177,168,168,170,181,216,209,178,132,126,100,114,110,136,215,205,191,171,153,129,97,60,28,123,189,178,179,178,177,168,169,170,178,207,211,192,147,143,135,86,124,209,208,208,186,153,137,106,89,45,38,171,181,178,181,180,179,168,168,168,172,197,204,204,171,152,138,130,123,201,206,203,173,132,113,91,84,31,82,193,177,180,181,181,180,167,166,169,166,183,207,208,191,165,142,145,117,183,204,183,159,113,88,94,71,21,133,189,178,180,181,180,179,167,168,171,167,164,210,210,194,170,147,140,129,161,196,160,133,97,80,99,50,37,177,182,181,179,179,179,178,168,170,171,176,161,195,196,170,157,145,139,137,143,165,142,106,88,89,84,28,97,194,179,181,180,180,180,180,168,170,172,179,165,188,184,151,142,139,141,131,133,143,129,112,84,81,56,41,171,186,182,182,180,180,180,180,168,172,172,176,169,183,180,154,153,153,145,130,126,144,140,104,64,62,28,124,193,181,183,182,182,182,182,181,170,171,174,173,169,179,188,167,165,160,150,141,121,151,130,76,52,35,65,188,180,184,182,183,183,183,182,181,166,169,173,177,173,176,198,172,174,168,154,151,110,145,107,69,50,27,146,193,183,185,184,184,183,183,182,181,87,90,91,100,96,145,209,185,181,179,160,153,106,131,100,72,35,45,167,169,172,174,178,180,181,182,181,181
20,157,158,159,159,160,161,162,163,163,162,162,162,162,162,161,161,158,153,157,157,156,154,152,151,149,147,145,144,161,162,162,162,163,164,165,165,165,165,165,165,165,165,165,168,156,135,152,159,158,157,155,153,152,150,148,146,165,166,166,167,167,168,168,168,169,169,169,169,169,169,169,173,158,117,127,146,159,160,159,157,156,153,152,150,169,169,170,171,171,171,172,173,173,174,173,172,172,173,172,175,159,105,96,116,148,163,163,161,159,157,155,154,172,173,174,174,175,175,176,177,177,177,176,176,177,177,176,179,156,100,105,115,133,165,166,165,163,161,159,157,176,177,178,178,178,179,180,180,180,180,180,180,181,181,180,182,155,102,123,126,121,164,170,168,166,164,162,160,180,181,181,182,182,183,183,183,183,183,183,184,184,184,183,188,158,107,132,134,117,162,173,171,170,168,166,163,183,184,184,185,185,185,186,186,186,186,186,186,187,186,187,192,152,105,140,147,120,161,176,175,173,172,170,167,186,186,187,187,188,188,189,189,189,189,189,189,189,188,191,194,145,108,152,151,116,157,179,178,176,174,173,171,189,189,190,190,191,191,192,192,192,192,191,192,191,182,181,187,147,118,160,152,113,154,181,180,179,177,175,173,192,193,193,194,194,194,195,195,195,194,194,195,194,187,175,166,142,116,151,154,119,154,182,183,182,180,178,176,194,195,195,196,196,196,197,198,198,197,197,197,196,194,190,168,139,118,139,152,123,153,185,185,184,182,180,178,196,197,198,198,199,199,200,200,200,200,200,200,194,173,166,167,158,128,115,128,114,147,187,188,186,183,181,180,198,199,200,200,201,201,201,201,202,202,202,202,198,164,120,148,166,127,90,93,94,137,188,190,188,185,183,182,200,201,201,202,202,202,202,202,203,203,203,203,200,163,101,126,161,139,99,82,79,125,187,192,190,187,186,184,201,202,202,203,204,204,204,204,205,204,204,203,196,167,119,110,133,145,122,101,80,113,185,194,192,190,188,187,203,204,205,206,206,206,206,206,206,206,205,199,192,172,141,107,98,126,132,114,84,100,180,196,194,192,190,189,206,206,207,207,208,208,207,208,208,207,202,194,177,167,158,129,99,106,126,126,96,92,169,198,196,194,192,191,207,208,208,209,209,209,209,209,210,208,199,184,151,132,144,138,102,91,116,142,121,92,144,195,198,196,194,192,209,209,210,210,211,210,211,211,212,209,199,184,149,105,105,123,92,78,111,153,145,101,111,184,200,198,196,194,211,211,212,212,212,212,212,213,213,210,199,184,158,117,89,102,93,89,137,173,159,110,97,175,201,200,198,195,212,213,213,214,214,214,214,214,214,212,199,190,175,130,96,105,120,133,175,181,152,101,102,181,202,200,199,196,213,214,215,215,215,215,215,216,216,214,199,191,180,140,110,116,163,188,192,167,135,90,120,193,202,201,200,198,213,214,215,215,215,215,216,216,217,215,199,186,175,147,116,120,176,197,181,149,117,88,144,201,203,202,201,199,213,214,214,215,215,215,215,216,217,216,200,180,169,148,121,121,170,185,165,132,99,91,166,204,203,202,201,199,214,214,215,216,216,216,216,217,218,217,206,182,168,151,130,125,165,178,152,114,84,107,187,205,202,200,196,188,214,215,216,216,217,217,217,218,219,219,213,188,170,154,134,121,151,161,131,93,79,144,201,203,195,180,152,123,215,215,216,217,218,219,218,219,220,220,214,193,174,155,134,117,131,135,104,75,90,176,201,177,149,115,79,61
4,79,95,110,117,124,128,133,136,139,141,145,148,150,153,156,157,161,159,162,164,164,165,167,166,166,167,167,168,79,98,112,119,125,130,134,137,140,144,148,149,153,156,155,159,158,163,165,167,170,168,168,168,170,170,170,170,82,101,113,120,126,131,136,139,142,144,146,149,143,149,164,168,136,123,162,155,152,172,170,170,172,172,172,171,84,103,115,122,128,132,137,142,143,139,157,189,150,127,164,186,132,75,120,146,83,113,177,171,173,173,174,174,86,105,116,123,129,133,138,142,150,159,133,157,189,129,114,171,117,69,72,122,90,59,161,179,174,175,177,176,87,108,118,125,130,133,140,139,181,176,144,111,131,119,83,129,103,60,74,125,90,47,153,182,175,177,178,177,90,108,118,125,130,135,136,156,194,185,161,132,75,79,75,151,119,45,122,131,71,49,172,179,176,178,179,179,93,110,119,126,132,137,135,177,160,149,155,105,66,56,72,161,117,100,152,105,41,71,185,179,178,181,182,181,95,111,121,127,133,138,138,189,140,134,142,72,53,64,43,94,128,169,146,123,71,96,194,178,181,181,182,182,100,113,120,128,133,137,147,197,155,155,128,77,38,95,112,130,149,147,125,135,110,99,183,182,181,183,183,183,101,114,119,128,137,136,161,189,137,121,114,83,23,127,149,132,132,107,126,154,133,102,119,190,181,187,186,185,104,114,121,131,136,132,174,178,130,102,86,51,25,47,93,95,88,53,124,162,153,136,85,139,194,184,189,188,104,116,122,131,138,138,199,182,141,116,93,68,43,35,43,49,78,126,129,153,165,142,108,75,172,191,188,188,107,117,122,132,136,146,212,174,145,129,93,69,56,69,102,133,171,186,167,156,141,133,121,77,127,199,187,189,111,117,123,134,134,158,219,181,164,132,91,85,69,110,163,183,191,184,161,146,119,105,111,74,136,199,189,191,112,117,124,135,130,173,219,185,160,119,98,95,86,153,185,192,194,190,159,132,105,86,83,87,182,191,192,192,111,117,125,136,131,178,218,181,148,118,115,100,116,176,182,190,192,176,144,119,97,81,66,148,199,191,193,192,112,117,125,136,131,180,214,174,151,140,134,117,145,175,180,185,179,154,130,106,90,66,100,197,192,193,195,195,114,118,126,135,133,178,206,179,172,161,143,136,165,173,179,172,156,141,114,97,81,68,175,199,193,195,197,198,113,118,127,136,135,165,206,189,181,161,140,133,158,166,164,150,134,123,100,89,64,131,204,193,193,196,198,197,115,120,129,137,138,154,202,183,175,158,134,117,136,147,147,137,119,106,93,70,91,195,194,195,195,197,197,198,114,122,130,137,142,150,198,174,159,146,125,117,129,142,140,122,102,94,79,68,170,199,194,197,198,199,198,199,114,122,130,137,143,146,189,160,145,135,119,128,123,133,136,115,98,87,57,137,202,193,197,197,198,199,199,200,115,122,131,138,141,157,189,162,149,142,143,148,123,115,123,103,89,67,94,196,194,197,198,199,200,200,200,200,116,122,132,137,147,201,169,156,160,149,147,136,116,104,110,94,82,60,160,199,194,197,199,199,200,200,200,200,116,123,133,133,188,199,194,112,128,158,138,123,110,95,96,88,76,58,179,196,195,198,198,199,200,201,201,203,116,127,128,155,208,189,197,179,71,116,124,111,103,82,86,80,68,60,185,195,195,198,199,200,200,202,203,203,117,125,130,197,193,191,190,202,152,53,92,105,91,67,79,74,65,59,183,198,197,198,200,202,202,203,204,204
1,141,144,146,149,152,155,158,159,159,160,161,162,163,162,162,161,159,158,162,158,157,156,156,153,152,152,150,148,143,147,150,151,154,157,159,160,163,163,163,163,163,163,162,162,167,164,147,161,158,158,158,155,154,152,151,149,145,149,153,154,157,160,163,164,164,164,165,165,166,163,172,155,173,178,99,149,158,160,158,156,156,153,152,152,147,152,155,158,159,163,165,166,167,167,167,167,168,166,198,142,112,171,92,113,130,137,163,157,158,157,155,153,150,155,158,160,162,164,167,168,170,171,171,170,167,179,205,129,87,160,88,112,131,99,167,160,160,159,158,156,152,157,159,162,165,167,169,171,173,173,170,184,177,126,171,115,102,178,97,112,134,91,163,163,162,161,159,158,154,158,162,165,167,169,171,174,174,176,172,204,161,80,137,115,109,178,104,97,134,92,161,168,164,163,161,158,156,161,165,166,169,172,174,175,177,176,178,205,138,80,139,106,96,152,91,117,151,98,155,172,166,166,164,161,159,163,166,168,172,174,175,178,180,177,189,207,136,80,125,91,111,145,83,122,147,94,150,176,169,168,166,164,160,165,167,170,173,174,177,180,182,177,199,195,125,92,132,88,134,157,88,113,138,90,156,176,171,171,168,166,163,166,169,172,175,177,179,182,182,178,202,184,115,104,154,95,116,144,85,136,147,94,159,177,173,172,169,166,164,168,170,173,177,179,180,182,185,181,211,189,139,92,126,71,83,105,74,158,144,95,163,179,175,174,172,170,164,169,172,175,178,179,181,184,188,185,212,172,122,78,83,82,86,86,90,141,117,90,174,179,176,175,174,173,167,172,174,177,179,181,184,187,189,190,205,171,148,141,106,127,93,132,146,102,88,103,187,177,178,176,174,172,168,174,177,179,181,184,187,189,189,198,224,208,158,178,174,163,156,173,135,81,78,134,190,178,178,178,175,173,169,173,179,181,184,187,189,191,187,215,235,171,126,135,169,178,173,155,138,111,59,144,191,179,181,179,177,174,170,175,180,183,187,189,191,193,189,227,210,138,124,89,89,133,121,155,174,130,65,148,193,182,182,180,179,176,173,177,181,185,189,191,192,195,194,233,216,171,123,111,100,85,141,143,198,154,82,131,196,183,183,182,179,177,175,179,183,187,190,193,195,196,201,236,213,180,119,123,93,151,216,158,192,167,105,83,186,188,185,184,181,179,176,181,186,189,192,196,198,199,204,232,216,177,113,128,106,206,218,198,160,135,120,81,178,192,186,185,183,180,177,182,187,190,194,196,199,199,207,231,223,169,121,124,142,231,220,186,159,120,94,92,193,191,189,186,185,181,179,184,188,192,194,198,201,200,209,234,212,158,143,109,178,232,210,183,151,133,73,112,204,191,191,188,187,185,180,186,190,193,196,200,202,201,209,231,202,177,152,119,207,225,200,174,146,118,67,161,203,193,193,190,187,186,181,186,191,195,198,200,202,210,218,221,202,197,157,141,213,215,190,165,134,87,95,202,196,196,194,191,189,186,182,187,192,196,199,200,211,169,160,227,202,204,156,130,192,190,166,142,115,65,164,208,197,196,195,193,191,189,184,189,194,199,200,202,210,93,62,162,199,195,121,111,145,149,134,114,67,106,212,199,200,199,197,195,193,191,184,190,193,198,199,212,167,71,76,64,98,112,90,109,118,117,94,70,75,194,206,201,201,201,198,195,194,191,183,188,194,198,199,210,119,74,72,69,64,69,73,83,81,81,53,26,142,217,200,203,202,201,199,195,194,191
3,56,0,24,48,63,71,80,88,94,98,103,106,108,111,112,114,116,118,120,121,109,124,126,128,130,131,131,132,49,0,28,50,65,72,80,89,95,99,103,107,109,111,112,116,117,119,122,132,80,106,132,129,130,131,132,134,39,0,33,51,66,74,82,91,96,101,104,107,110,111,114,116,119,119,125,142,82,92,135,129,130,132,133,134,30,1,37,54,67,75,84,93,97,102,107,110,111,113,115,117,120,120,129,139,76,95,135,128,131,132,133,135,21,4,39,56,68,76,85,94,97,103,107,109,111,115,116,117,124,122,134,139,75,102,135,130,133,134,135,136,12,9,42,59,69,77,87,95,99,104,108,110,113,117,120,120,111,114,142,126,74,101,136,132,135,136,136,138,3,16,45,61,71,79,88,97,101,105,109,110,112,103,130,151,119,87,130,107,69,103,139,133,136,136,137,138,0,22,47,63,72,80,89,97,101,106,105,133,152,116,95,128,137,79,104,104,60,116,139,135,137,137,138,139,0,26,50,64,72,82,91,98,102,105,111,127,140,148,104,85,134,106,115,95,63,130,137,137,138,139,140,140,0,31,51,67,75,83,93,99,99,123,160,131,81,104,122,68,122,124,117,88,61,133,137,137,138,140,141,141,1,35,52,68,76,84,93,100,99,132,141,131,111,79,117,100,56,57,116,102,72,95,142,137,140,141,141,143,5,38,55,68,76,84,94,100,100,138,121,81,115,104,90,119,57,48,105,132,117,67,121,143,141,142,142,144,10,39,57,69,77,85,95,100,103,145,110,57,67,68,72,75,74,77,82,130,120,69,119,145,140,142,143,144,13,42,58,70,79,86,96,98,107,142,109,100,84,59,72,74,92,86,91,136,116,69,132,144,142,143,144,144,17,45,60,70,79,87,97,97,115,149,127,102,77,63,78,94,107,89,106,153,114,75,142,143,144,145,146,147,22,48,62,71,80,88,96,96,118,151,113,85,68,70,85,107,112,108,133,152,102,81,147,142,144,144,147,148,27,49,62,72,81,89,97,97,120,148,112,89,74,77,91,115,118,142,147,143,94,81,147,143,145,145,146,147,31,50,64,72,81,90,98,97,119,152,123,96,81,77,94,117,140,160,141,122,89,84,150,143,146,147,147,148,34,51,66,73,82,90,98,98,118,153,127,106,85,85,95,130,158,157,139,106,71,100,151,143,146,147,148,148,37,52,66,75,82,91,97,99,116,155,136,113,90,90,100,144,157,150,136,101,58,111,150,143,146,148,148,148,39,53,66,75,83,91,97,101,110,147,135,114,103,96,106,151,157,143,129,95,55,124,149,144,146,149,148,148,41,55,66,74,83,92,97,101,106,134,135,121,117,105,110,147,151,136,122,85,58,138,146,146,147,149,148,149,43,56,67,75,83,92,96,102,105,124,139,130,124,116,106,135,139,123,110,76,73,149,145,146,147,148,149,149,43,57,68,76,83,94,98,102,105,121,142,134,126,113,103,119,125,114,110,63,98,152,144,146,147,148,150,150,44,58,68,75,83,93,98,102,104,125,152,134,121,104,99,111,112,111,106,65,129,148,145,147,148,148,150,150,45,59,68,75,84,93,97,103,104,131,157,131,122,106,102,114,106,112,84,81,148,143,146,147,148,149,150,150,46,60,68,77,85,93,97,104,103,141,157,140,128,109,113,121,105,102,68,109,149,143,146,147,148,149,150,150,46,61,68,76,85,93,97,104,104,146,158,152,124,110,121,120,102,83,62,128,146,145,147,147,148,149,150,150
3,176,179,179,179,179,180,180,180,180,180,180,180,179,178,176,175,173,166,174,171,171,170,168,167,164,162,161,159,180,182,182,182,182,182,183,183,182,183,184,184,182,181,180,179,184,127,155,179,173,172,171,170,168,166,164,162,183,185,185,186,186,186,186,187,186,186,187,188,186,185,183,183,177,110,127,188,175,176,175,174,172,170,167,165,187,188,189,188,189,190,190,191,192,190,189,189,190,189,187,186,175,108,110,189,180,180,178,176,175,173,170,168,191,191,192,193,194,194,194,195,194,194,193,193,192,191,190,190,175,104,103,191,182,182,181,180,178,176,174,171,194,195,195,195,196,197,197,197,197,196,196,196,196,195,194,193,174,110,99,190,185,184,184,183,181,179,176,174,197,197,198,198,199,200,199,200,200,200,200,199,199,197,195,197,184,118,94,190,190,187,185,184,183,181,179,177,199,200,202,202,202,203,202,202,202,202,202,202,202,200,199,197,179,104,94,195,191,190,188,187,186,184,182,180,202,203,204,204,204,204,204,203,203,203,204,204,204,203,202,196,169,119,101,185,196,192,191,189,189,187,185,182,203,203,204,206,206,207,206,206,206,206,207,207,206,206,204,199,182,146,97,170,202,194,194,192,191,189,186,183,204,206,206,207,207,208,209,208,209,209,209,209,208,207,207,200,186,144,85,159,207,195,195,195,192,191,189,186,207,207,208,207,208,208,210,210,209,209,210,210,208,209,207,204,195,145,88,132,213,194,197,196,194,193,190,188,209,208,209,209,209,209,211,212,211,210,211,212,213,206,190,178,172,169,123,151,190,207,198,197,195,194,191,189,209,210,209,210,211,212,213,213,213,213,214,213,206,198,189,142,101,153,164,192,123,176,208,199,198,196,194,190,210,210,211,212,213,213,214,213,214,216,209,192,145,157,191,142,97,110,167,166,98,72,150,207,198,197,195,193,212,212,213,214,215,215,215,214,216,209,198,183,136,108,156,167,120,93,141,150,105,77,80,195,203,198,196,195,213,213,214,215,216,216,215,217,215,201,186,163,158,139,121,175,133,86,90,116,119,85,75,184,207,199,198,196,213,214,214,215,216,216,216,217,211,192,161,122,143,145,104,140,145,90,80,99,135,97,68,174,210,200,199,197,213,214,214,215,217,218,219,220,215,192,175,120,88,125,71,101,139,79,83,97,141,130,69,151,214,200,201,198,213,214,214,215,217,218,219,219,221,195,166,140,111,92,72,97,104,63,91,136,156,144,75,154,215,202,202,199,213,214,215,215,216,217,218,218,223,195,176,171,137,100,99,119,109,99,163,171,156,112,93,202,206,203,201,197,214,215,216,216,217,218,218,218,222,203,170,171,147,119,110,133,176,182,191,157,129,79,148,217,199,200,203,205,213,213,214,216,217,218,218,218,222,211,167,168,151,125,113,120,183,181,165,136,99,78,192,213,211,211,191,156,220,220,220,221,221,222,222,223,223,226,176,149,144,125,118,115,163,165,146,114,72,131,221,193,170,136,91,70,178,183,187,190,195,199,204,206,208,214,199,144,142,135,131,112,136,147,125,84,91,161,119,87,67,60,60,65,112,114,115,116,116,120,120,121,121,120,132,165,142,140,125,103,103,103,80,68,91,80,60,57,63,58,57,54,121,121,122,123,121,121,127,124,125,121,140,187,168,142,113,98,97,96,74,74,76,68,70,53,57,51,49,49,121,122,122,123,122,122,129,127,129,125,157,175,172,149,128,117,105,94,71,72,69,65,60,59,47,48,44,48
0,165,165,165,165,165,165,165,165,164,164,163,162,162,162,161,160,160,160,159,158,156,156,156,155,154,153,152,151,166,167,166,166,166,165,165,166,166,164,164,163,164,163,162,161,161,160,160,159,157,157,156,155,153,153,153,152,166,167,166,166,167,165,166,167,166,165,165,165,165,164,163,162,162,159,159,160,158,159,157,156,154,154,153,153,168,168,168,167,167,166,168,167,167,166,166,164,158,166,166,164,164,167,160,161,160,158,158,157,156,155,154,153,168,168,169,169,168,168,167,168,166,169,166,148,120,121,160,140,123,130,165,158,157,162,157,159,158,155,154,154,169,169,169,170,169,168,169,158,134,138,160,141,122,93,112,132,109,84,118,126,106,118,160,144,147,158,154,154,171,170,169,170,168,168,168,155,136,112,125,156,122,99,103,143,118,94,82,123,101,70,116,131,113,161,154,154,171,170,170,169,169,169,168,169,148,131,101,144,127,103,99,143,122,94,91,131,113,79,76,128,103,159,156,155,171,171,170,170,169,173,167,155,154,132,91,134,133,104,98,141,121,94,77,120,107,79,67,120,95,146,160,156,172,172,171,171,171,174,158,125,151,115,84,134,123,94,91,131,111,86,67,110,99,71,68,122,96,109,164,155,172,172,172,172,172,169,142,112,149,107,85,130,107,80,85,122,102,77,75,128,110,66,66,125,117,86,137,161,172,171,172,172,174,169,157,134,146,119,96,125,114,83,87,130,108,69,110,146,110,58,79,127,120,87,100,167,172,173,173,173,175,162,144,128,128,119,95,131,127,83,103,141,117,77,103,135,81,57,117,134,117,76,111,166,173,174,174,175,171,146,125,110,98,87,81,132,120,78,94,142,116,73,40,55,44,93,138,134,102,73,151,161,175,174,175,174,169,153,132,111,91,84,82,91,99,77,63,86,86,86,104,77,85,137,135,123,77,109,168,157,175,175,175,172,166,152,133,111,94,91,97,93,97,101,95,98,125,144,141,136,117,126,125,99,71,152,163,158,176,175,176,175,168,154,137,117,97,90,96,104,118,129,136,147,149,140,130,130,111,109,113,73,98,169,159,160,175,175,175,174,169,154,138,123,106,98,97,107,135,145,153,151,146,137,128,125,105,94,96,60,140,167,161,161,175,176,176,173,170,157,142,128,112,111,103,132,157,155,155,151,143,132,124,120,96,85,63,95,169,162,163,161,176,176,176,174,172,161,147,134,124,120,127,152,159,156,155,149,140,130,118,107,87,59,80,161,165,163,163,162,176,177,176,174,172,163,150,140,132,126,145,154,158,160,154,139,132,123,110,98,65,71,161,167,164,165,164,162,176,177,177,173,171,166,155,143,133,129,151,156,159,157,146,132,123,114,101,74,62,153,169,163,165,165,164,162,176,177,178,172,169,165,156,147,135,129,149,157,151,147,134,122,111,103,80,57,143,173,165,166,165,165,164,163,177,179,179,175,170,167,159,154,144,134,145,151,142,135,124,111,100,79,54,134,175,167,169,167,165,165,163,163,178,178,179,176,172,165,158,155,148,138,143,146,135,123,115,102,77,54,132,177,167,170,167,167,166,165,164,163,178,178,179,175,170,163,166,166,156,145,140,138,125,114,106,83,56,135,179,170,172,170,168,166,167,165,164,164,178,178,178,174,173,162,165,166,152,143,136,131,115,99,91,60,132,181,171,172,172,171,169,168,168,166,165,164,178,178,177,171,167,148,163,155,146,140,132,118,107,95,69,92,182,171,172,171,171,170,169,169,167,166,166,164
24,152,155,157,160,161,162,164,166,167,167,168,168,168,169,169,169,169,169,170,170,170,170,170,169,169,168,167,167,154,157,160,162,163,164,167,168,168,169,169,170,170,171,171,172,172,172,172,172,172,172,172,172,171,169,169,169,155,158,161,163,166,168,169,169,171,171,171,172,173,173,173,173,173,173,172,173,173,173,174,174,173,172,172,171,156,159,163,166,168,170,171,172,173,173,173,173,174,174,176,175,175,175,175,175,175,175,176,175,174,174,174,172,160,164,164,168,170,171,172,173,174,174,175,176,177,177,177,177,177,178,178,178,178,177,178,177,176,176,175,173,146,137,171,169,172,173,174,175,175,176,177,177,178,177,178,178,179,180,179,179,180,179,179,178,178,176,176,176,139,99,170,171,173,174,176,178,177,177,179,180,181,179,180,180,182,182,180,181,182,181,180,182,182,181,182,178,138,92,165,173,175,176,177,179,182,184,181,175,172,185,181,182,183,182,182,183,182,183,183,179,168,145,147,184,128,81,167,176,176,178,182,178,160,159,183,157,128,140,187,183,182,183,184,184,184,184,178,154,136,93,132,188,120,80,166,178,173,145,149,183,148,118,160,166,145,112,161,190,183,184,184,184,185,184,177,150,99,119,188,183,132,87,157,182,185,156,136,176,161,144,143,176,163,134,129,192,184,186,186,186,185,182,172,126,99,186,186,183,141,101,147,182,190,187,157,148,181,163,131,155,176,142,111,180,188,187,188,188,184,180,156,90,135,195,184,185,159,146,155,177,176,193,180,132,154,180,144,122,171,132,89,175,195,189,186,178,178,165,109,97,186,189,186,186,174,171,163,175,164,156,185,125,101,182,159,102,117,108,75,155,174,171,163,154,157,120,87,175,195,189,188,188,169,178,174,171,170,157,154,120,82,138,137,89,58,88,111,147,166,169,154,134,118,84,152,200,189,190,190,189,172,183,174,172,169,153,143,127,102,85,99,72,61,120,172,182,178,166,141,117,93,119,201,191,191,191,191,190,174,181,174,147,155,150,139,133,118,105,107,105,146,172,181,179,167,152,125,95,86,183,197,192,193,192,192,191,175,179,180,163,139,142,162,150,144,129,124,164,187,183,179,171,157,137,108,76,143,202,193,195,195,193,193,192,177,177,188,188,162,140,143,157,173,172,174,193,187,182,174,161,142,117,81,121,203,194,196,195,194,194,193,193,175,177,182,191,175,154,140,149,163,186,192,188,188,182,165,144,121,92,94,191,198,196,195,195,196,195,194,193,176,180,178,186,191,167,150,150,166,187,192,194,193,175,148,125,103,77,158,202,194,196,195,195,195,194,194,192,176,180,180,189,200,190,165,163,169,193,202,195,184,156,129,106,82,108,201,195,196,196,195,195,195,194,194,196,176,179,181,182,192,201,180,169,172,190,198,187,164,136,111,92,75,170,202,196,199,198,197,197,195,197,191,186,178,180,184,176,172,189,181,172,172,175,177,172,150,119,95,72,109,203,195,197,198,197,196,197,200,188,183,131,173,177,180,183,169,171,175,171,166,154,151,158,142,109,87,70,162,208,201,202,202,202,201,201,184,177,197,170,112,116,117,122,121,154,175,164,153,139,140,150,133,110,89,78,149,170,171,174,176,183,186,180,184,170,168,124,104,104,103,103,99,123,167,139,135,136,149,158,131,116,102,80,95,104,102,104,105,106,111,169,197,164,161,126,106,109,114,113,111,109,150,135,143,153,156,160,135,113,109,84,102,116,115,115,111,111,143,144,182,189,105,150
14,195,197,199,202,201,202,204,204,205,206,207,205,206,205,205,203,203,202,201,201,199,199,199,197,195,195,193,193,197,199,201,203,203,205,207,208,208,209,209,208,210,208,208,208,206,205,204,204,203,202,201,199,198,197,197,196,200,201,203,205,207,208,209,210,209,211,211,210,212,213,210,211,209,208,207,206,205,203,202,202,201,201,200,198,201,202,205,208,209,210,213,212,213,213,213,214,211,211,212,214,213,210,209,210,209,207,206,204,203,202,201,200,202,204,207,209,210,213,216,216,216,216,216,216,227,203,193,204,202,216,213,211,211,209,208,206,205,204,204,202,203,206,209,211,212,214,216,217,217,217,220,236,228,207,190,187,171,182,214,214,213,211,211,210,209,207,206,205,206,209,211,214,216,216,217,219,220,221,240,236,229,212,216,199,166,134,146,225,214,215,213,211,210,209,208,208,210,211,213,216,218,218,217,221,220,233,242,238,214,119,191,191,181,141,79,162,226,214,216,213,212,211,210,209,211,213,215,217,219,221,219,223,228,247,206,154,141,97,92,107,198,188,87,98,216,218,217,215,215,213,212,211,212,215,217,220,222,225,223,243,255,241,187,126,82,78,68,47,168,219,145,91,198,226,218,218,216,214,213,214,216,218,219,221,226,223,234,255,240,196,162,134,95,55,78,53,101,167,143,89,164,232,219,219,218,217,216,215,216,218,220,224,225,223,255,252,223,163,103,100,87,69,56,92,207,184,187,133,135,234,219,222,220,218,217,217,216,218,222,226,220,253,255,239,221,162,106,71,73,56,115,221,233,223,197,110,133,235,223,224,221,221,219,218,218,221,227,219,245,255,246,238,199,145,118,77,58,91,233,239,226,204,183,99,120,239,225,227,225,224,222,221,220,224,223,232,255,255,248,230,192,159,112,58,44,132,218,239,230,188,173,108,78,202,235,227,228,226,224,223,223,228,221,255,255,255,241,218,189,142,96,59,74,81,87,214,204,166,162,126,90,153,244,228,229,227,226,224,226,224,239,255,255,252,234,215,164,117,78,84,110,111,106,115,145,179,167,122,92,198,240,231,230,228,228,227,224,224,255,255,255,243,222,196,143,117,83,115,128,131,138,119,135,170,152,90,172,244,232,233,231,231,230,229,226,244,255,255,249,229,215,184,144,117,104,129,133,138,129,136,129,160,105,142,244,233,235,233,232,232,230,229,199,255,255,253,234,223,203,180,153,112,113,133,133,131,117,139,122,94,129,243,239,237,237,235,234,233,232,230,97,182,255,243,210,194,177,162,119,104,111,121,129,120,115,116,75,113,235,244,238,239,239,237,235,234,233,232,100,86,130,190,204,165,128,93,80,96,96,105,116,106,91,116,176,242,247,240,241,240,239,239,237,236,234,233,91,94,85,96,110,104,89,75,75,80,80,78,79,85,151,242,255,245,244,243,241,241,240,239,238,238,234,233,88,85,89,89,42,41,53,49,47,49,41,87,149,202,255,248,246,246,245,245,244,242,241,240,239,239,236,235,85,84,80,90,76,24,43,40,35,36,28,61,237,255,246,249,249,248,247,247,246,243,243,241,240,239,238,237,82,79,77,82,82,26,32,37,35,35,30,41,228,255,249,251,250,250,248,247,247,245,245,243,241,240,240,238,71,74,70,79,82,21,29,33,32,35,17,119,255,249,253,252,251,250,249,249,247,246,246,245,243,241,239,239,84,117,61,85,63,16,30,29,28,32,15,178,255,248,253,253,251,250,249,249,248,247,246,246,244,241,241,240
2,121,123,124,125,128,131,131,131,131,131,130,131,130,130,128,124,124,126,124,125,124,123,122,121,121,120,118,116,123,125,127,129,131,131,132,133,133,132,131,133,132,127,131,147,159,150,128,120,122,124,125,123,123,122,121,119,124,125,127,131,131,132,133,133,134,134,134,130,134,153,178,182,166,155,155,103,79,76,103,125,123,123,122,120,126,127,129,131,133,134,134,133,135,136,131,144,190,176,177,176,147,114,102,70,41,43,35,106,129,124,122,122,128,130,132,132,134,135,137,137,136,138,127,180,188,170,177,136,88,57,52,43,40,43,24,87,133,122,124,124,128,130,132,134,135,136,137,138,138,135,138,199,186,172,121,73,35,26,33,32,42,43,66,119,129,126,126,125,130,131,133,135,138,139,138,140,140,132,157,208,182,111,55,37,23,36,40,80,119,118,130,132,130,128,126,127,131,132,134,138,138,139,141,142,144,133,169,204,155,72,27,34,33,40,99,138,136,135,132,131,129,129,129,128,133,134,137,138,138,140,141,142,144,136,195,189,112,41,17,26,28,46,141,134,133,133,133,132,131,130,129,128,134,136,138,138,141,142,142,145,137,162,207,138,60,18,16,12,26,52,138,136,136,135,134,133,133,131,130,129,133,136,138,139,142,143,143,144,144,203,178,99,44,29,33,24,14,71,146,136,138,136,135,134,133,132,131,131,134,137,139,141,144,144,147,139,187,213,152,91,56,46,43,39,23,91,149,137,138,137,135,134,135,133,132,132,136,139,140,142,146,147,146,148,220,200,135,80,51,55,45,45,33,98,149,137,139,139,137,135,136,136,131,130,138,141,141,144,146,148,142,168,227,180,112,67,54,54,43,47,39,102,151,139,141,139,139,137,137,139,137,133,140,141,143,147,147,152,141,193,223,164,98,59,50,46,42,48,40,109,152,141,142,141,142,141,140,129,116,126,141,142,144,148,149,150,148,220,209,150,93,57,46,46,46,49,33,107,153,142,143,142,143,139,120,119,79,83,141,144,146,149,153,143,177,232,190,139,85,53,42,43,41,42,27,76,157,144,145,145,142,116,125,104,62,125,144,146,148,150,154,146,212,221,177,130,82,48,39,37,36,44,36,41,148,148,147,148,110,112,122,61,101,145,146,148,150,153,147,168,231,206,166,121,75,46,36,32,39,48,48,29,97,162,146,105,97,119,82,60,140,138,147,148,150,155,147,194,226,193,154,113,72,44,34,35,41,45,50,43,39,84,96,93,109,99,60,83,147,138,148,149,151,154,151,213,215,182,151,111,69,45,33,43,43,39,44,46,41,44,85,118,106,75,70,127,144,140,149,150,154,152,164,218,203,178,151,106,71,51,38,52,50,48,54,55,51,69,106,115,92,76,132,148,143,142,149,151,155,150,190,217,198,185,155,112,84,57,44,61,65,70,68,67,60,73,107,87,80,136,152,147,144,142,149,153,154,155,215,217,200,185,158,120,90,62,51,70,79,83,70,66,64,71,75,86,143,152,148,149,145,143,151,154,153,168,221,212,199,181,143,106,87,68,57,72,82,83,73,66,58,62,85,147,156,151,150,148,147,145,151,157,146,189,215,205,192,160,116,84,74,67,66,78,79,75,71,55,85,134,152,155,152,150,149,149,146,143,153,151,172,216,200,186,163,122,86,79,74,65,67,71,70,68,57,96,156,160,154,154,153,150,150,150,146,143,151,160,220,201,180,166,140,91,81,82,75,70,68,63,62,70,116,161,159,155,156,155,152,152,151,149,147,145
21,80,91,108,127,137,147,153,158,163,164,168,176,178,181,183,186,188,190,193,193,194,194,195,196,196,196,196,196,83,94,112,129,140,149,156,157,166,198,125,137,187,181,186,189,191,192,194,196,197,198,198,198,198,198,198,197,84,93,115,132,143,151,157,159,175,215,111,111,192,182,189,192,193,195,194,198,198,199,200,200,201,201,200,200,86,94,117,134,144,152,158,162,175,211,125,105,189,186,190,194,196,196,196,200,204,204,203,203,203,203,203,202,89,97,118,137,146,154,161,164,175,204,132,100,185,189,192,194,198,200,202,197,162,194,208,205,206,205,204,204,90,101,122,136,150,157,161,167,175,206,148,100,180,193,193,198,200,199,207,177,100,163,217,206,208,208,207,207,92,104,125,139,151,159,164,170,175,204,157,100,169,198,196,200,202,208,201,153,103,196,214,208,209,210,210,210,94,106,126,140,151,161,168,173,172,204,160,101,148,204,197,201,203,214,187,124,133,222,209,211,211,212,211,210,94,107,129,142,151,161,168,173,173,217,170,105,138,206,198,200,209,207,167,109,188,219,213,214,214,213,212,212,95,108,133,145,152,161,168,174,174,228,181,118,139,206,198,203,207,184,135,129,220,212,216,216,216,214,214,213,96,112,133,144,155,162,168,173,174,211,165,116,130,209,200,210,206,174,102,177,223,214,217,217,217,217,217,215,97,114,134,145,156,163,175,194,153,177,137,101,124,210,199,207,204,146,120,219,216,217,218,218,218,218,218,218,99,116,137,148,158,155,206,241,153,129,104,86,119,189,189,198,184,104,175,226,217,219,220,220,219,220,219,219,100,118,138,148,159,159,197,208,147,97,78,87,129,175,184,178,128,112,221,217,218,221,220,220,221,221,220,219,100,120,139,150,153,192,220,158,137,104,65,75,112,154,160,140,89,171,227,217,220,221,221,221,221,222,221,221,102,123,140,149,159,246,213,192,161,146,84,67,101,123,140,115,105,217,219,221,221,222,223,223,222,222,222,221,104,124,142,147,184,211,203,227,213,167,103,72,89,103,120,89,153,228,217,221,222,223,223,223,223,223,223,223,106,128,143,146,205,187,196,223,220,139,91,80,79,96,97,78,191,226,221,222,223,224,223,222,225,225,223,223,107,127,141,152,220,175,153,130,166,131,100,87,80,78,86,81,195,226,220,224,225,225,227,227,226,225,224,223,108,130,140,164,214,148,133,130,147,145,113,87,79,80,81,77,191,229,222,225,226,227,228,229,228,226,226,225,110,132,138,176,221,178,172,141,143,186,122,99,89,83,78,78,197,229,225,226,226,227,228,228,228,227,227,227,113,133,137,181,217,195,168,137,221,238,142,125,104,78,76,80,206,227,224,227,228,228,228,229,229,228,228,228,114,133,137,182,233,198,154,164,251,212,154,127,108,78,72,97,219,224,226,228,229,229,229,230,230,229,229,229,115,135,139,178,225,171,160,176,230,177,141,116,109,86,68,122,229,222,226,228,229,229,229,230,231,231,230,229,117,135,144,169,206,165,178,167,214,170,152,113,99,86,64,145,232,222,226,228,229,230,231,231,231,232,231,230,118,134,144,162,186,187,198,166,215,170,152,135,90,82,67,162,234,222,228,230,231,232,233,232,232,233,232,231,116,130,144,154,186,213,178,160,214,160,131,118,87,77,72,188,226,221,227,229,228,229,230,231,231,231,231,231,116,129,143,151,177,207,178,149,182,142,109,93,80,70,80,202,221,220,224,225,226,228,230,231,231,231,231,231
21,149,157,163,165,168,175,180,183,186,189,190,192,194,196,195,196,196,195,194,194,195,194,194,193,191,190,190,188,151,159,165,167,171,176,181,184,188,191,193,195,196,197,199,197,198,197,197,196,196,196,196,193,191,190,190,190,153,162,167,169,173,179,183,186,190,193,195,196,197,197,198,202,200,200,200,199,197,198,196,195,194,192,191,190,153,162,167,170,173,180,184,189,192,194,197,199,197,216,181,168,207,200,202,201,200,199,198,198,196,195,193,192,154,164,169,170,175,181,186,190,192,195,199,200,199,230,191,133,198,205,203,203,202,202,201,198,201,197,195,193,157,166,170,171,177,183,188,190,195,198,200,202,199,224,211,140,179,211,203,204,204,202,206,192,160,197,198,196,158,166,171,172,178,185,189,193,197,199,202,204,203,216,236,173,164,214,205,205,206,204,212,188,122,184,203,197,159,168,173,175,180,187,192,195,198,201,204,206,206,213,247,194,148,210,209,208,206,208,210,180,129,189,204,199,161,169,174,176,182,189,194,196,199,203,204,208,208,211,242,200,143,195,214,210,207,218,213,165,133,207,202,202,163,170,175,177,184,190,194,198,202,205,206,210,211,210,243,213,151,179,219,210,210,223,210,152,152,214,203,203,163,171,176,179,185,191,196,200,203,205,207,211,212,208,242,231,166,171,220,209,217,217,185,132,179,214,205,204,164,173,177,179,186,191,197,200,204,207,210,211,213,210,231,231,162,166,222,213,229,218,173,121,202,211,206,206,165,175,178,181,187,194,198,202,205,209,211,213,215,215,229,228,147,148,221,216,228,211,154,146,218,208,209,208,167,176,180,183,189,195,200,204,206,210,211,214,216,184,182,234,154,167,201,212,207,182,123,180,220,209,211,210,167,176,182,184,190,197,202,205,208,211,212,222,229,175,145,191,167,164,195,207,203,148,123,214,214,212,211,211,167,177,183,185,191,198,204,207,209,212,214,208,226,181,171,150,169,164,152,188,192,125,171,225,213,214,213,212,169,178,183,185,193,199,205,208,211,215,231,180,176,190,191,184,195,169,101,134,162,110,187,224,216,216,215,213,169,180,183,187,194,200,206,209,210,230,244,212,148,180,190,181,181,156,131,103,109,105,196,224,216,217,217,215,171,181,184,188,194,200,206,211,211,229,243,221,154,149,180,128,148,167,153,127,98,98,207,224,218,219,217,216,172,181,185,189,195,202,208,212,212,240,234,208,169,134,186,167,113,176,173,144,120,88,179,232,219,219,218,217,172,182,187,190,197,203,209,213,214,240,226,212,171,109,179,242,136,163,204,154,135,101,141,235,220,221,220,218,174,184,185,190,198,204,210,215,214,240,255,226,160,145,140,183,131,190,194,159,138,107,135,235,221,223,220,219,175,183,186,190,198,205,211,216,214,236,254,238,182,198,123,150,212,195,182,143,135,98,148,237,221,224,222,220,174,184,188,192,199,206,211,216,216,231,255,225,197,175,143,200,224,173,174,167,127,93,164,238,222,224,223,222,175,185,187,192,201,208,211,217,219,227,254,222,219,178,187,236,206,186,176,174,138,86,192,236,224,224,224,224,174,184,186,192,200,206,211,217,219,222,245,224,220,188,197,233,203,187,163,154,121,97,222,230,225,225,225,224,174,183,185,191,199,206,211,215,218,224,237,226,214,196,166,201,182,159,140,128,90,135,239,226,226,224,224,223,177,183,187,193,200,206,212,215,226,198,195,235,210,186,154,157,160,149,128,112,88,197,236,227,226,225,225,223
6,207,207,208,208,209,209,210,210,210,210,210,210,209,208,209,209,207,206,208,208,205,203,204,204,203,201,200,200,208,209,210,210,210,210,211,212,212,212,212,212,211,211,212,211,209,209,207,208,208,205,205,204,203,203,202,201,209,210,212,211,212,212,211,212,213,213,214,214,214,214,214,214,212,211,209,209,208,208,206,205,203,203,202,200,210,211,212,213,213,213,213,213,215,215,215,215,213,214,215,214,213,212,210,210,210,208,207,206,205,205,204,203,212,213,213,215,215,214,214,214,215,215,214,215,216,216,215,215,214,214,213,213,211,210,210,208,207,207,205,203,214,214,215,216,217,216,215,215,215,215,215,215,216,216,215,215,214,214,214,214,213,213,211,210,209,207,205,205,214,214,216,216,216,216,217,217,216,216,216,216,218,218,217,217,216,215,214,214,212,212,211,209,209,208,207,208,217,217,218,218,217,218,219,218,217,217,218,219,220,220,220,220,218,218,216,215,215,215,213,212,209,206,208,208,218,218,218,219,219,219,220,221,221,221,216,215,218,218,217,216,217,217,218,210,213,208,210,206,204,225,214,206,218,218,220,220,222,224,226,227,224,217,201,186,206,216,218,216,220,215,208,208,211,207,212,205,207,232,196,204,221,223,224,224,225,220,216,217,219,217,212,174,164,194,205,205,203,197,192,190,185,186,184,184,179,177,191,213,223,219,219,219,218,212,211,215,215,215,216,181,142,139,138,153,157,163,167,168,176,183,187,189,193,204,215,212,216,212,212,211,208,203,204,202,197,192,181,159,149,146,129,154,204,213,216,219,220,222,223,221,219,222,220,218,215,208,202,198,197,200,200,194,191,197,196,159,139,143,157,151,174,222,228,222,221,220,218,220,215,195,183,182,213,204,195,193,194,195,197,197,200,211,215,172,139,130,146,157,144,150,213,225,222,222,221,220,166,136,135,133,211,203,193,186,183,186,194,199,204,202,192,173,153,148,143,142,151,141,168,230,223,219,229,189,135,143,139,135,213,207,198,190,186,186,188,190,203,207,178,155,157,162,159,149,142,135,174,226,219,223,220,160,136,134,132,133,209,205,200,195,190,191,189,186,191,204,192,154,130,149,169,169,153,132,203,233,226,222,155,133,123,110,103,93,204,204,203,199,193,192,193,192,201,208,182,156,146,141,147,159,165,144,178,194,167,149,125,122,112,99,92,85,194,206,207,206,199,195,193,191,194,202,186,163,158,162,153,142,148,148,140,136,132,123,117,109,103,95,88,87,131,192,211,203,201,200,194,190,181,180,178,168,175,174,164,160,145,122,118,129,131,123,116,108,98,92,86,83,75,107,185,190,178,175,169,168,168,155,146,132,149,163,172,167,143,111,96,117,119,112,112,113,105,92,84,81,78,72,89,173,197,197,203,209,220,218,139,127,129,148,159,141,138,116,94,96,113,108,105,111,112,96,85,80,69,57,118,206,210,209,212,213,213,216,200,178,171,162,133,111,139,112,90,84,97,104,100,105,113,103,86,80,60,59,132,144,139,141,144,144,146,148,152,153,163,158,116,104,136,112,84,84,91,96,97,101,109,106,88,81,63,58,125,142,139,138,138,139,140,138,135,145,155,147,107,99,128,106,83,84,90,91,92,95,102,104,90,80,63,57,139,147,144,145,145,142,142,144,150,144,126,120,110,94,122,101,84,76,86,88,89,92,97,102,96,83,50,72,151,145,145,145,146,146,146,142,133,122,119,109,107,94,115,98,84,78,80,83,85,89,94,100,96,85
14,175,177,180,182,182,182,185,185,186,186,187,186,187,186,185,184,183,182,182,181,180,180,179,177,176,175,174,173,177,180,181,183,184,185,188,188,188,189,189,188,190,189,189,189,187,185,185,184,183,183,181,179,178,178,178,176,180,182,184,186,187,188,189,190,190,191,191,191,193,193,190,191,189,189,187,187,186,183,183,183,181,181,180,179,181,183,185,188,189,190,193,193,193,194,193,194,192,191,193,195,194,190,189,190,189,187,186,185,183,182,182,181,182,185,188,189,191,193,196,196,196,196,196,196,207,183,174,184,183,196,193,191,191,190,189,187,185,184,184,183,183,186,190,191,193,195,196,197,197,198,201,216,208,187,171,167,152,163,194,195,193,192,191,190,189,188,187,186,187,189,192,195,196,196,198,199,201,201,220,216,209,192,196,180,147,115,128,205,194,195,194,192,191,189,189,188,190,192,193,196,198,198,197,201,200,213,222,218,194,101,171,172,162,122,61,143,206,195,196,193,192,191,191,189,191,193,195,197,199,202,200,203,208,227,186,135,122,79,74,89,179,168,69,80,196,198,197,196,195,193,192,191,192,195,197,200,203,205,203,222,236,221,167,108,65,60,51,30,149,199,126,73,178,206,198,198,196,194,194,194,196,198,199,201,206,203,214,238,220,176,143,116,77,37,60,35,83,148,124,72,145,212,199,200,198,197,196,195,196,198,200,204,205,203,237,232,203,144,85,82,70,52,39,74,187,165,168,114,117,214,199,202,200,199,197,197,196,198,202,206,200,233,244,218,201,143,88,53,56,39,96,201,213,203,177,92,115,215,203,204,201,201,200,198,198,201,207,199,224,249,226,217,180,126,100,59,41,73,213,218,206,185,164,81,101,219,205,207,205,204,203,201,200,204,203,212,253,240,227,210,173,140,94,41,27,113,199,218,210,169,154,90,61,182,215,207,208,206,204,203,203,208,201,242,255,238,221,199,170,123,78,41,57,63,69,195,184,147,144,107,72,135,224,208,209,207,206,204,206,204,219,255,249,232,213,195,145,99,60,66,92,93,88,97,127,160,148,103,74,178,220,211,210,208,208,207,204,204,246,252,237,223,202,176,124,99,66,97,110,113,119,101,117,151,133,72,153,224,212,213,211,211,210,209,206,224,255,240,229,209,195,164,126,98,86,110,115,119,111,117,111,141,87,123,224,213,215,213,212,212,210,209,180,255,255,233,214,204,183,160,134,94,95,115,115,113,99,120,104,76,110,223,219,217,217,215,213,213,212,210,79,163,241,222,190,175,158,143,101,86,93,103,110,102,97,98,58,94,215,224,218,218,219,217,215,214,213,212,82,69,112,171,184,146,110,75,62,78,78,87,98,88,73,98,157,222,227,219,221,219,219,219,217,216,214,213,73,76,67,78,92,86,71,57,57,62,62,60,61,68,132,221,237,225,224,223,221,221,220,219,218,218,214,213,70,67,72,71,25,24,36,32,30,32,24,70,130,182,236,228,225,226,225,225,224,222,221,220,219,219,216,215,67,66,62,72,58,8,26,23,18,19,11,44,217,243,226,229,229,228,227,227,226,223,223,221,220,219,218,217,65,61,60,65,64,9,15,20,18,18,13,24,208,235,229,230,230,229,228,227,226,225,224,222,221,220,219,218,53,57,53,61,64,4,12,16,15,18,0,101,251,228,233,232,231,230,228,228,227,226,226,225,223,221,219,219,66,99,44,67,45,0,13,12,11,15,0,158,249,228,233,232,231,230,229,229,228,227,226,226,224,221,221,220
12,197,198,199,201,203,203,204,205,205,205,205,206,206,208,208,207,207,208,209,208,207,208,208,208,207,206,205,205,199,201,202,202,204,204,206,208,206,207,207,208,207,208,208,211,209,211,211,209,209,210,209,208,208,208,207,206,202,202,203,205,205,205,207,209,208,208,207,210,210,214,212,202,211,211,211,213,211,210,211,210,210,209,209,209,203,204,205,207,207,208,208,210,208,213,222,209,206,236,226,180,165,220,216,193,207,212,211,211,211,210,211,210,203,204,206,208,209,210,210,209,213,253,247,206,183,245,230,174,110,204,225,169,156,217,213,213,213,212,213,212,204,205,208,210,210,211,212,207,218,255,250,202,177,247,228,184,110,208,207,165,112,197,221,212,213,213,213,213,205,207,209,211,211,213,212,208,226,254,247,205,171,251,223,191,142,222,196,144,100,170,227,213,215,215,215,216,207,209,211,210,212,210,221,246,207,206,236,238,157,233,244,182,159,225,206,144,90,156,227,215,217,216,216,216,208,210,212,213,214,210,252,251,202,156,197,205,136,207,234,139,159,238,180,126,87,149,226,216,218,218,218,217,210,212,212,215,211,226,255,250,224,155,167,163,95,123,146,110,168,195,124,98,90,143,230,217,220,220,218,217,211,213,214,215,211,240,255,252,227,181,139,149,98,82,84,189,220,198,150,145,131,150,233,219,221,221,219,218,213,213,216,216,212,248,232,243,234,198,150,99,127,106,186,255,250,229,192,187,162,158,233,220,222,220,221,220,213,215,216,216,216,255,251,219,224,201,157,108,104,164,255,255,246,227,197,174,147,136,229,223,223,221,221,221,215,217,219,214,230,255,254,211,208,205,169,132,93,235,255,255,246,228,200,166,132,135,231,224,225,223,223,223,216,218,221,215,231,255,255,238,196,189,209,174,133,255,255,255,246,226,187,159,126,136,233,224,226,225,224,224,216,218,220,219,224,255,255,237,206,177,182,197,221,255,255,255,246,218,186,157,130,121,228,229,227,227,225,225,217,219,221,218,227,255,255,245,229,221,189,231,251,255,252,251,246,212,191,151,124,119,228,231,227,227,227,226,219,220,222,219,231,255,255,255,242,238,218,230,241,255,248,244,237,217,184,147,111,142,240,227,230,228,229,229,219,220,223,222,229,255,255,255,249,239,224,229,229,255,244,232,224,217,169,136,101,195,239,228,231,230,230,229,220,222,224,225,225,255,255,255,251,233,218,229,229,246,236,222,221,202,155,113,125,237,231,231,231,231,231,230,220,222,223,228,223,245,255,255,247,225,211,220,226,238,233,220,209,179,136,94,193,242,232,232,232,231,231,231,224,227,230,234,228,247,255,240,233,223,217,226,231,248,236,215,195,161,103,135,241,232,235,233,232,232,233,232,213,200,189,180,163,157,156,134,128,127,121,126,116,118,113,107,107,103,80,197,254,237,236,236,235,235,235,234,152,141,135,131,113,100,98,92,82,73,67,64,49,46,48,44,41,43,47,71,130,223,238,234,234,234,233,233,149,134,139,129,118,108,104,96,87,79,75,68,57,54,52,50,46,43,41,37,21,204,242,233,234,233,232,232,175,131,138,130,117,109,99,94,85,76,72,64,54,53,54,51,44,41,43,25,115,250,232,235,233,233,233,232,195,133,136,125,116,108,97,91,82,75,70,62,55,54,53,50,43,37,40,25,199,249,234,237,235,235,236,235,206,136,133,126,119,108,100,91,83,73,66,63,56,54,52,49,44,38,38,43,225,242,239,239,237,237,236,237
21,136,140,141,143,145,147,148,150,153,154,154,153,152,157,155,155,156,156,154,154,155,154,156,155,153,153,152,150,138,141,142,145,147,148,151,152,153,155,153,160,168,139,156,158,158,157,157,156,156,157,157,157,156,154,154,153,139,142,145,147,149,151,153,154,154,157,154,171,195,131,132,164,159,159,160,159,159,160,158,158,159,158,156,154,141,144,146,148,151,152,154,156,157,160,160,158,196,161,108,158,163,161,162,161,161,161,159,162,153,149,159,156,142,145,147,150,152,153,156,158,159,160,162,158,179,187,134,138,166,162,163,162,163,163,160,180,143,110,163,158,143,147,149,152,153,155,157,160,161,161,161,161,166,202,169,125,160,166,165,165,165,162,167,188,132,114,166,158,145,148,151,152,154,157,159,161,162,162,163,165,162,198,185,127,142,169,165,165,166,161,181,183,117,135,167,160,147,149,152,153,156,159,159,161,163,164,164,166,161,187,195,141,127,170,166,166,167,168,194,169,114,155,167,164,148,150,153,155,158,160,161,163,164,165,166,167,164,178,192,160,119,167,169,169,165,178,186,147,113,168,165,165,149,152,155,157,159,161,163,164,166,167,168,165,176,203,184,166,104,132,176,167,170,191,177,119,131,174,165,165,150,153,156,159,160,162,164,165,166,168,167,172,181,199,187,163,129,102,159,173,180,193,167,109,161,172,168,167,152,154,156,159,162,164,165,166,167,169,171,206,177,169,204,178,171,160,126,152,173,177,136,121,177,169,170,168,153,155,158,160,163,165,166,167,170,169,180,190,190,173,159,166,196,181,123,100,139,141,104,148,177,170,171,170,153,157,159,161,164,166,167,169,171,168,182,182,158,126,82,91,172,180,137,96,107,110,102,171,173,172,172,171,155,158,159,162,165,166,168,171,173,169,186,178,124,123,107,89,126,196,161,111,90,91,113,179,173,173,172,172,155,159,160,164,165,167,170,172,173,171,190,186,172,152,116,117,112,190,183,128,90,79,130,183,174,175,174,173,156,159,162,165,166,169,171,172,174,171,201,202,163,136,118,135,131,192,199,150,104,75,134,185,174,176,176,176,158,161,164,165,168,170,171,172,175,174,204,186,144,132,137,150,160,208,198,162,121,81,130,186,174,176,176,176,158,160,163,166,168,171,172,173,175,176,202,190,163,156,156,158,185,211,191,160,125,82,130,186,175,177,176,176,157,159,163,165,168,171,171,172,175,173,203,201,173,159,165,171,197,211,190,154,131,85,127,188,175,177,177,177,159,162,164,166,169,171,172,174,176,172,200,207,184,161,170,181,207,210,194,156,130,88,131,188,177,178,178,177,160,163,166,168,170,171,173,175,178,174,196,211,186,171,170,191,211,202,187,152,127,86,135,188,178,179,179,178,160,163,166,168,170,172,174,176,179,177,192,211,190,188,179,193,211,199,180,154,121,84,130,191,180,181,180,180,161,164,166,170,171,173,176,178,180,179,185,210,199,197,192,188,206,188,173,151,115,82,127,192,181,183,181,181,162,164,167,170,171,175,178,178,180,180,179,200,205,201,194,183,192,174,160,147,111,78,133,192,182,182,185,183,157,161,164,167,171,174,176,178,180,182,180,193,209,200,183,166,175,167,152,152,106,71,158,197,188,191,173,123,112,113,116,119,121,122,126,127,127,127,129,146,207,192,167,144,153,167,149,148,97,71,143,153,152,155,105,82,89,89,90,90,88,90,93,92,89,93,81,69,190,176,150,136,148,168,139,139,84,57,73,87,94,96,76,77
16,81,82,83,84,86,96,108,118,128,136,144,149,152,154,157,161,166,171,175,179,182,185,188,190,193,195,197,199,80,81,82,83,86,96,108,119,128,136,144,149,152,153,156,160,165,171,175,179,182,185,188,191,193,195,198,200,80,80,82,82,86,96,108,118,127,136,144,149,151,152,155,159,164,169,174,178,181,184,187,190,193,196,198,199,79,80,82,82,86,97,107,118,127,136,143,148,153,154,152,156,163,169,174,178,181,184,186,190,193,195,198,199,79,79,81,82,86,97,108,118,127,135,143,151,165,164,145,135,144,160,172,177,180,184,187,190,194,196,198,200,79,79,80,81,86,96,107,117,129,148,158,169,179,165,141,122,110,118,142,166,179,184,188,191,194,196,199,200,78,78,79,79,84,95,106,117,149,181,181,180,172,150,131,118,103,92,93,117,148,168,180,188,193,196,198,199,78,78,79,79,83,94,106,132,177,186,174,165,154,136,119,107,101,93,83,83,95,113,134,156,177,192,197,200,76,77,78,78,82,92,119,169,184,166,153,144,133,120,105,96,95,97,88,83,81,81,86,98,123,158,184,197,74,76,77,76,81,97,142,178,164,147,134,122,110,99,92,88,88,100,96,92,85,79,75,75,81,100,132,164,79,78,79,79,92,128,153,155,141,129,114,101,91,85,84,76,81,100,104,104,91,82,75,72,73,76,83,99,108,107,107,110,139,165,150,135,122,108,94,84,77,77,74,62,79,102,110,110,96,86,76,72,71,72,74,74,111,113,113,129,179,178,147,119,99,88,79,70,68,70,58,51,84,105,112,114,102,91,80,75,71,71,72,72,109,110,112,150,187,168,131,99,77,70,62,56,58,52,36,44,86,104,113,123,115,102,87,77,70,69,70,70,114,113,132,174,174,145,107,79,63,60,48,38,33,26,19,33,81,102,118,135,127,112,96,75,68,69,68,67,115,120,156,168,144,113,84,65,57,53,36,20,14,12,12,24,70,101,126,140,124,116,101,73,66,66,66,65,116,141,169,148,110,83,67,59,58,55,40,20,10,9,10,17,53,99,136,134,110,112,98,70,64,63,64,63,128,164,160,121,85,65,59,60,63,64,59,42,21,19,22,23,45,113,144,119,97,101,86,66,63,63,63,61,151,157,127,90,75,78,70,69,70,71,68,58,44,42,41,39,76,141,137,102,86,82,70,63,62,61,60,59,159,126,90,71,86,96,85,85,81,77,72,64,57,54,50,61,124,149,120,88,73,65,60,61,60,59,61,63,126,92,70,80,99,96,91,88,83,78,73,65,59,57,56,96,156,144,103,74,62,57,57,58,57,60,64,66,94,77,82,103,111,107,103,93,84,78,77,70,69,75,88,141,171,142,89,61,56,58,59,58,59,63,64,64,98,97,105,112,115,114,113,109,103,100,101,99,101,106,118,168,180,145,86,54,57,63,63,61,62,64,65,65,112,111,112,113,115,115,115,115,114,114,114,114,115,115,123,170,181,148,92,68,86,79,73,69,68,68,67,67,113,112,112,113,114,114,114,115,114,115,115,116,116,116,119,153,166,136,93,98,122,99,85,81,80,78,73,69,113,113,112,113,115,114,113,114,115,115,115,115,117,117,116,130,140,113,90,108,137,128,103,93,93,92,84,75,113,113,113,113,114,114,113,114,114,114,114,115,117,117,115,118,120,103,97,111,134,152,131,115,110,106,97,88,113,113,113,113,114,114,114,114,114,114,115,115,117,117,116,116,116,112,112,113,127,162,151,134,124,116,106,97
1,105,107,110,111,112,113,114,114,114,114,115,116,116,117,116,117,117,117,119,117,117,117,118,116,116,115,115,115,109,110,112,115,115,115,116,118,117,118,119,119,119,118,121,120,122,119,109,120,119,120,120,120,119,118,119,118,112,113,116,119,118,119,119,120,120,122,123,122,122,125,103,113,134,129,65,117,126,123,122,122,122,121,120,119,115,116,120,121,121,122,123,123,123,123,125,122,130,143,73,100,142,118,58,120,121,126,125,125,123,123,121,121,118,120,124,125,125,126,127,126,127,127,128,125,141,137,67,109,143,101,65,129,95,92,133,125,127,125,125,124,122,123,127,128,129,129,129,129,130,131,126,98,137,124,67,122,144,87,73,138,100,64,135,129,129,128,127,126,124,126,129,130,131,132,133,133,132,143,125,76,116,114,72,132,150,90,90,146,101,64,135,132,132,131,130,130,127,130,131,132,132,136,137,137,134,150,116,73,112,111,82,135,141,86,101,150,92,68,138,134,134,133,132,132,130,132,133,135,136,139,138,137,137,150,104,77,107,95,76,123,126,76,112,154,91,74,144,137,136,136,135,133,132,134,136,137,139,140,141,139,139,156,106,85,101,97,60,130,124,74,130,150,89,83,150,140,139,139,138,138,134,136,137,140,141,142,143,142,143,156,97,77,103,113,63,141,129,80,141,137,83,94,151,141,143,143,141,140,136,138,139,142,143,144,144,143,147,160,114,71,91,100,56,134,108,84,151,142,80,108,152,142,145,144,143,143,138,140,142,144,145,146,146,144,148,160,109,62,88,86,58,117,87,97,154,135,76,123,154,147,147,145,144,144,139,142,144,146,148,148,149,146,152,161,119,91,112,135,125,135,134,93,113,131,72,135,153,149,149,148,147,145,140,143,145,147,149,149,151,148,160,161,124,101,77,109,144,142,143,116,72,99,72,147,153,151,150,149,149,149,143,144,148,148,149,151,152,149,167,149,112,86,65,60,87,100,151,151,95,46,73,157,153,153,153,151,150,149,143,146,149,150,151,152,152,152,172,150,113,79,70,75,81,103,157,167,134,51,85,165,153,154,154,153,152,151,146,149,150,152,153,155,154,156,174,148,106,83,83,86,112,142,134,160,142,74,95,167,154,156,155,154,155,154,148,150,152,153,154,156,155,159,172,144,110,82,92,90,136,162,145,128,113,82,69,160,157,157,156,155,155,155,149,151,153,153,154,155,156,163,170,146,114,94,97,108,159,163,141,121,88,64,74,164,158,158,158,158,157,157,151,152,154,155,155,158,158,164,169,146,115,103,92,124,170,167,132,108,79,47,89,169,159,160,160,159,159,158,153,154,155,156,157,158,159,162,166,144,120,111,94,121,170,161,122,98,70,46,121,170,161,162,161,161,160,159,153,154,156,158,159,160,159,160,161,145,127,120,97,116,169,141,112,85,59,67,163,165,162,161,162,161,161,161,152,155,157,158,158,159,161,161,159,148,129,123,95,122,160,130,108,75,47,108,173,163,164,163,162,163,164,163,153,156,158,160,160,160,163,162,166,149,131,120,88,124,143,117,98,65,50,147,171,165,165,164,163,164,164,163,154,156,159,161,161,163,161,160,169,153,138,113,91,122,117,101,87,51,78,171,167,167,167,166,166,165,165,164,154,156,157,160,161,163,157,164,168,166,147,115,102,120,107,97,77,50,131,173,167,168,168,168,168,166,166,165,153,156,157,158,159,159,156,164,161,156,143,115,110,108,100,86,55,88,173,168,168,168,169,168,168,167,167,166
6,224,225,224,224,226,225,225,224,223,224,224,223,222,222,219,218,217,216,215,214,212,210,208,208,207,204,202,199,229,229,229,230,229,229,229,228,227,228,227,225,224,222,221,220,219,218,217,216,215,213,211,210,209,207,206,202,231,232,232,231,231,232,232,231,230,230,231,229,228,227,225,223,223,221,220,219,218,215,214,213,212,210,208,206,233,234,233,233,234,233,233,234,233,232,234,231,230,231,229,227,225,224,223,221,219,219,217,215,215,213,209,208,237,236,236,236,236,237,237,236,236,235,235,236,234,232,231,230,229,226,225,224,223,221,221,218,216,216,213,211,237,237,239,238,238,239,238,238,238,239,238,237,236,236,233,232,231,230,229,227,225,223,223,222,219,217,215,214,239,239,241,240,240,240,241,240,240,241,240,239,238,237,236,234,233,232,231,230,227,225,224,223,222,220,217,215,241,241,242,242,243,243,243,243,243,243,242,242,241,238,236,237,235,235,236,235,234,231,230,229,225,220,221,218,243,243,244,244,244,244,245,245,245,245,245,245,245,246,244,242,240,232,225,218,211,213,209,195,197,209,203,219,245,243,244,244,245,246,246,245,249,248,243,235,228,225,215,204,195,193,171,165,175,182,174,164,203,241,192,201,245,246,246,246,246,246,247,250,236,207,186,183,179,185,186,182,178,176,167,162,179,161,162,157,158,174,163,208,247,248,247,248,246,250,245,226,208,192,170,173,180,184,190,183,175,145,140,128,124,128,145,148,155,181,210,227,250,250,250,250,253,235,211,207,205,187,152,130,142,142,133,132,134,128,138,169,201,218,228,233,239,239,232,227,249,250,251,254,228,200,203,204,197,183,162,122,96,72,175,234,241,240,243,250,248,243,240,237,232,232,230,230,250,252,254,228,198,203,207,205,207,207,192,141,92,84,116,156,193,243,247,242,243,240,238,238,237,235,233,232,255,251,225,207,209,213,216,214,212,211,165,105,86,90,85,79,71,117,248,246,245,244,241,240,239,236,234,232,237,210,205,217,217,215,218,203,200,194,127,87,80,84,93,97,97,73,193,255,244,245,244,241,239,238,235,232,205,206,218,220,216,215,207,192,199,195,166,137,88,68,80,85,91,62,137,255,244,245,244,242,240,238,236,233,210,212,216,220,221,213,195,197,202,202,207,168,103,80,81,73,82,145,229,250,245,245,244,243,240,239,237,236,212,214,221,224,214,199,191,194,192,192,188,136,88,82,85,82,90,255,255,247,248,246,245,244,241,240,237,236,214,216,218,211,200,194,192,191,182,174,165,124,77,69,81,75,100,247,250,248,248,246,244,243,240,239,238,237,214,211,198,192,198,196,188,181,167,164,174,160,100,71,74,88,227,255,248,246,246,245,244,242,238,236,235,235,201,190,185,192,188,174,163,158,163,175,191,177,107,86,85,89,250,253,249,246,244,244,244,240,243,247,243,232,193,190,191,181,167,157,161,165,170,171,174,136,89,76,64,132,255,249,248,247,251,248,248,252,227,195,158,120,187,185,175,164,163,162,160,147,138,130,114,77,94,132,169,250,254,255,255,252,232,232,231,203,119,87,72,77,171,158,134,136,152,155,144,122,101,90,97,159,247,255,255,255,255,201,173,136,98,106,97,85,75,89,75,66,124,103,81,94,116,118,108,95,100,142,194,228,232,228,231,234,178,101,97,76,58,75,63,69,67,65,75,53,100,75,88,121,127,124,121,122,132,138,138,131,129,131,130,114,92,90,81,85,53,65,64,59,61,58,62,54
4,124,128,132,136,139,141,144,146,148,151,152,154,154,155,157,157,158,156,156,156,156,155,154,154,154,153,153,152,126,130,133,137,140,142,145,147,149,152,154,155,156,159,158,158,160,163,160,157,158,158,157,156,154,155,154,153,127,131,135,139,141,145,147,149,151,154,155,154,155,158,162,167,143,120,150,163,161,160,158,158,157,156,156,155,128,132,136,140,142,144,147,150,155,158,155,164,149,117,151,193,150,94,90,175,162,161,160,160,159,159,158,155,128,133,138,141,145,147,149,152,154,150,167,202,164,116,103,194,152,104,73,148,145,162,163,160,159,159,159,157,131,134,139,143,146,147,150,151,163,162,150,188,177,131,87,178,158,101,39,84,111,100,164,164,161,160,160,160,132,136,140,144,148,150,150,159,195,192,134,117,189,148,84,161,162,96,30,86,123,68,99,173,161,163,161,161,131,137,140,143,148,153,150,171,190,180,121,94,178,132,70,127,138,77,31,95,123,77,55,169,164,164,162,162,132,137,141,146,148,151,151,171,172,171,119,82,155,117,64,87,114,70,44,128,131,74,52,169,166,163,162,163,134,138,142,147,149,153,151,172,166,149,129,92,136,112,67,47,94,46,76,163,117,55,60,173,166,163,163,164,134,139,144,147,151,156,153,173,186,151,135,111,109,150,98,71,91,55,80,126,89,33,63,177,167,168,166,165,135,141,145,148,151,155,153,177,197,169,127,68,76,147,117,141,114,120,126,140,127,63,68,181,166,169,167,165,136,141,145,149,151,156,153,186,192,150,114,77,56,58,77,140,117,143,159,169,151,77,80,181,167,170,168,167,136,141,146,150,153,156,154,193,177,127,96,72,55,50,48,90,120,132,144,148,127,80,63,170,171,171,168,168,137,142,146,150,154,157,158,198,181,141,109,74,59,61,75,78,89,103,107,114,118,98,48,143,179,169,168,168,137,142,147,151,153,156,164,200,178,139,97,76,66,61,75,103,88,121,134,132,134,110,56,98,185,168,171,169,139,143,148,153,155,157,167,199,175,133,94,73,71,62,82,109,115,171,168,174,164,122,75,50,169,174,173,171,140,145,149,153,158,157,169,196,172,133,103,85,77,74,84,103,154,182,186,178,177,134,85,36,136,183,172,173,139,146,149,151,157,157,170,190,166,137,109,97,85,81,80,136,187,185,188,159,154,119,80,38,142,182,172,173,138,143,148,150,155,156,167,186,164,142,112,90,77,85,106,182,194,189,170,147,123,96,54,68,176,173,172,173,138,143,148,150,155,157,164,188,175,135,98,91,85,101,141,198,192,177,147,126,97,69,35,135,182,171,172,172,139,144,148,152,156,160,161,185,176,145,126,124,95,107,162,195,181,160,132,105,81,41,77,183,173,174,173,173,140,144,149,153,156,160,160,181,179,154,130,131,99,95,177,182,165,138,114,87,61,34,150,182,175,175,173,173,140,145,149,152,155,162,156,182,186,158,136,130,97,101,173,165,140,116,88,68,32,84,187,175,176,175,174,174,140,146,150,152,156,160,155,197,192,164,135,118,81,103,157,146,116,90,66,47,32,159,180,175,174,176,174,173,140,146,150,152,159,152,175,202,181,150,126,92,72,111,133,103,71,59,47,24,117,185,174,176,175,174,174,173,136,142,147,151,154,152,198,195,180,160,128,96,93,115,103,66,53,55,33,95,182,174,176,175,175,176,174,176,97,100,100,101,90,144,202,184,179,158,122,107,104,103,87,58,59,58,41,92,104,102,103,101,103,104,105,106
20,121,122,122,122,123,124,124,125,125,125,125,125,125,125,124,123,121,123,121,119,120,118,117,116,114,113,111,110,124,125,126,125,126,127,127,128,128,127,128,127,127,128,126,133,123,92,128,125,121,121,120,118,117,116,114,112,128,128,128,129,130,130,130,130,130,131,131,130,130,131,129,136,132,74,102,119,127,123,122,121,120,118,117,115,130,131,132,132,132,132,133,133,134,135,134,133,133,133,132,136,134,70,58,78,122,128,126,124,123,121,120,118,133,133,134,134,135,136,136,137,137,138,136,136,137,137,135,142,130,59,85,85,98,135,128,127,126,125,122,121,137,137,138,138,138,139,139,139,139,139,139,139,140,140,137,146,127,57,105,101,77,138,130,130,128,127,125,123,139,140,140,141,141,141,142,142,142,142,142,142,142,143,139,152,132,64,109,108,72,137,133,133,131,130,128,126,141,142,143,143,144,143,144,144,144,144,144,144,145,144,141,158,122,60,114,127,74,133,138,134,134,133,132,128,144,144,144,144,145,145,146,147,146,146,146,146,147,147,148,163,107,61,129,126,69,129,142,137,136,135,134,132,146,146,147,147,148,148,149,149,149,148,148,150,149,137,135,162,114,76,142,124,64,125,144,139,139,137,135,133,149,150,150,151,151,150,151,152,151,150,150,151,152,145,126,123,116,71,124,129,73,124,146,141,141,139,138,136,151,151,151,152,152,152,153,153,153,153,152,153,151,157,161,131,100,78,112,134,82,119,149,143,143,141,140,137,152,153,153,154,154,155,156,155,155,155,155,155,153,123,133,132,129,100,81,111,76,113,153,144,144,141,140,138,154,155,155,155,156,156,156,155,157,156,157,156,159,133,68,119,143,93,52,70,63,104,156,146,145,143,141,140,155,155,155,156,157,157,157,157,157,157,157,157,161,137,46,97,141,109,69,55,47,93,158,148,147,145,144,143,156,156,157,158,158,158,158,158,159,158,158,158,155,133,85,75,107,125,92,83,51,77,160,149,149,148,145,144,158,158,159,160,160,160,160,160,160,160,161,153,153,135,110,73,54,104,109,90,55,59,157,152,151,149,147,147,160,160,161,161,161,161,160,161,161,162,157,154,137,136,131,103,69,77,102,101,68,49,148,156,151,150,149,148,161,161,162,162,162,162,162,162,163,162,154,145,106,92,123,117,75,63,87,123,97,47,116,163,152,151,150,149,162,162,162,163,164,163,164,164,165,164,153,148,120,61,69,111,63,48,74,124,121,68,65,159,155,153,152,150,163,164,164,165,165,164,165,165,165,165,155,141,121,93,53,79,68,50,106,145,132,86,47,147,158,155,154,151,165,165,166,166,166,166,166,166,166,167,153,148,145,98,63,80,91,87,151,147,123,70,57,156,157,155,154,151,165,166,167,167,167,167,167,168,167,170,152,148,148,105,81,81,138,160,159,128,110,51,82,167,155,156,155,153,165,166,167,167,167,167,168,168,168,170,153,143,139,116,85,79,148,160,143,112,95,47,113,168,156,156,156,154,165,166,166,167,167,167,167,167,168,171,155,135,132,116,88,80,139,146,128,101,76,46,140,164,156,156,155,153,166,166,167,168,168,168,168,169,169,170,163,136,131,116,99,87,136,146,120,88,55,62,164,158,155,156,160,157,166,166,168,168,168,169,169,169,170,170,171,144,130,120,106,81,123,134,102,71,36,116,169,161,163,154,125,84,167,167,168,168,169,170,169,169,171,171,170,150,135,120,104,83,98,105,73,46,54,162,160,131,107,73,38,31
4,165,166,167,169,171,172,173,174,175,176,178,179,179,178,178,177,177,177,176,176,175,174,174,173,175,174,173,171,164,165,167,170,171,172,173,175,176,176,178,178,179,178,178,177,178,178,178,177,176,176,175,175,175,174,174,172,166,167,169,171,172,174,175,174,176,176,179,179,180,179,177,180,177,179,179,178,179,178,177,176,175,175,174,174,167,168,170,171,173,175,176,176,178,179,181,180,193,181,164,160,188,178,163,174,180,179,178,176,175,176,175,175,168,170,171,172,174,176,177,178,181,183,173,188,216,177,165,135,202,173,149,129,178,180,181,179,176,176,176,175,169,172,172,173,175,179,178,177,217,212,184,156,215,186,158,154,213,177,150,102,170,158,157,181,177,177,178,177,168,172,174,173,176,179,176,193,233,230,197,133,190,197,148,170,217,176,136,144,179,139,107,154,181,178,179,178,170,173,175,175,177,178,176,214,220,225,181,128,184,198,157,170,198,185,195,180,132,125,96,109,182,181,180,179,172,173,176,179,179,178,184,224,196,217,168,113,168,188,196,190,204,227,227,186,126,96,91,98,183,182,180,180,172,175,176,178,180,177,196,221,186,201,173,100,146,173,184,200,211,217,202,192,152,100,79,104,185,182,181,180,173,175,178,179,180,180,220,214,181,180,183,98,126,169,121,156,186,191,184,200,165,118,77,117,187,182,182,181,174,175,177,180,177,197,226,193,169,156,135,87,125,171,95,137,172,149,189,207,177,134,86,138,187,182,182,182,174,176,179,181,177,217,217,179,150,149,129,107,126,150,99,140,182,106,192,221,193,150,96,162,188,184,183,183,175,178,180,180,181,232,215,175,145,133,120,114,120,119,115,120,149,117,183,232,205,160,104,137,190,186,184,183,176,179,182,179,189,242,214,176,143,126,110,115,124,123,154,156,177,200,195,214,198,157,120,101,186,188,186,185,178,181,183,178,200,244,213,174,138,130,117,118,118,131,174,187,211,208,208,184,174,161,132,99,178,189,186,185,178,180,182,178,212,243,213,168,143,147,130,115,112,153,200,212,212,203,194,168,140,153,125,110,184,187,186,186,177,180,181,177,222,242,209,172,169,166,137,129,167,213,224,213,211,200,176,151,127,125,104,139,190,187,187,186,176,178,181,177,227,239,213,193,196,173,142,184,220,231,232,213,203,186,162,141,120,107,101,174,188,188,187,186,175,179,182,180,232,238,225,208,200,185,151,208,228,233,236,205,183,171,153,136,114,93,135,192,189,188,186,187,177,180,182,181,233,241,232,212,194,188,161,214,233,234,223,194,167,155,145,129,105,100,180,191,189,188,187,187,177,180,184,179,224,244,232,215,194,185,178,215,230,218,203,180,155,146,136,115,94,140,193,189,190,189,189,188,178,181,183,179,212,239,223,211,198,185,184,203,214,200,182,162,151,148,128,102,104,183,192,192,190,189,188,187,179,180,184,180,215,228,210,206,206,192,186,194,204,189,173,152,145,141,118,94,153,196,191,190,190,189,187,186,178,180,184,179,213,220,202,205,206,186,173,190,203,188,165,140,134,130,107,126,192,194,192,191,189,189,188,188,174,177,181,178,204,222,205,205,196,186,168,183,205,183,148,124,125,116,108,174,189,188,188,187,185,184,184,183,129,129,131,124,176,232,215,211,196,187,170,172,200,170,135,119,116,105,104,121,121,120,120,119,118,120,121,118,100,99,101,92,154,243,228,217,203,193,175,163,195,169,133,116,107,98,93,93,90,91,90,90,90,88,95,158
3,122,134,143,147,151,156,162,166,169,172,173,175,177,178,178,178,182,181,178,179,179,178,178,177,176,175,174,173,128,139,147,152,158,163,168,173,175,178,180,182,183,183,184,191,153,174,188,184,186,185,183,183,181,180,178,177,134,145,152,156,162,169,173,178,181,184,187,187,189,189,191,199,116,120,203,189,192,191,191,190,187,186,184,182,139,150,158,162,168,175,179,184,188,191,192,193,195,197,198,198,116,79,197,197,196,197,195,195,193,191,188,187,143,154,163,166,173,179,185,189,192,195,197,199,201,201,202,207,120,62,181,207,201,201,200,200,198,195,194,193,147,158,168,172,176,183,189,194,196,200,202,203,205,206,206,214,134,58,164,217,204,205,205,203,202,200,199,198,151,162,171,175,181,187,193,199,202,205,205,207,210,211,208,234,160,62,141,225,209,211,210,208,206,204,202,201,154,165,174,179,185,190,197,201,205,209,210,212,212,214,197,202,145,54,123,227,212,215,215,213,211,209,207,206,158,170,178,183,188,195,200,206,208,211,214,218,218,248,214,144,91,71,112,227,217,218,218,217,216,214,212,211,162,173,180,186,192,199,204,209,210,215,219,206,172,227,247,180,80,144,127,214,225,221,222,221,220,219,216,214,165,175,182,188,196,201,207,211,216,214,236,226,176,166,255,194,147,205,88,174,237,224,226,224,223,221,219,218,168,178,185,191,199,204,209,215,220,192,186,242,227,159,217,190,162,177,71,98,237,227,228,227,226,224,223,221,170,180,188,193,200,206,212,216,231,222,183,173,234,173,180,187,127,176,117,69,167,243,227,229,228,228,227,225,173,183,190,196,203,207,215,221,218,236,226,146,163,198,141,191,127,151,160,99,102,242,230,231,230,229,227,227,174,184,192,197,205,211,217,224,209,156,188,120,89,168,96,190,189,105,157,113,100,238,235,234,233,232,232,230,176,185,193,199,206,213,219,225,223,149,156,123,70,140,102,100,102,50,133,120,94,238,238,236,235,233,233,231,177,186,194,202,207,214,221,225,235,198,132,121,89,116,170,87,24,74,167,132,79,218,245,236,237,236,235,235,177,185,193,201,208,214,221,226,230,184,120,96,77,59,122,99,80,133,187,134,72,198,253,238,238,238,237,236,178,186,193,200,208,213,220,224,229,214,161,107,79,65,81,159,179,183,158,115,81,213,248,238,239,238,238,237,178,187,195,201,209,215,221,224,235,226,171,117,107,116,132,231,240,201,152,91,99,239,241,237,239,239,235,231,181,190,198,204,210,215,221,225,231,228,191,145,128,119,148,234,228,181,143,86,127,254,246,241,244,215,191,228,173,184,193,201,209,217,224,231,235,227,197,158,129,123,142,223,220,167,126,78,158,246,219,222,220,169,165,230,101,103,109,114,122,127,130,139,144,206,202,160,146,147,129,211,209,157,110,77,150,216,183,163,210,125,174,216,96,98,100,102,100,100,101,103,92,152,208,173,157,155,119,182,190,139,95,87,185,175,190,157,172,109,198,202,99,101,102,105,106,108,113,115,107,125,211,181,155,147,108,136,158,106,81,140,193,163,170,178,123,122,208,196,99,101,103,102,106,106,105,110,99,175,242,181,149,130,97,109,113,87,96,169,185,163,164,166,109,161,197,197,98,100,103,102,105,106,106,108,101,207,238,178,147,117,102,104,99,73,148,165,146,164,156,145,142,171,191,197,96,99,103,102,102,104,106,105,111,209,220,178,150,132,113,98,88,76,186,170,104,155,158,146,166,162,203,191
21,151,155,158,161,163,164,165,166,168,169,169,169,170,168,168,168,168,166,165,164,163,162,162,161,159,158,158,156,152,156,159,162,164,165,167,168,170,170,171,171,171,171,170,168,160,165,166,166,165,164,164,163,161,160,159,159,154,157,160,163,165,166,168,170,172,172,173,172,173,172,174,173,119,140,169,168,166,166,166,164,163,161,161,160,156,158,162,164,166,167,169,171,174,174,174,174,174,173,178,172,106,132,171,170,169,167,167,167,165,162,162,162,157,160,163,166,167,168,171,173,175,175,175,175,175,174,184,165,107,140,173,171,171,166,161,167,167,165,164,164,158,161,164,166,169,171,172,174,175,176,176,177,178,175,189,162,108,148,175,171,170,153,119,146,170,167,167,166,159,162,165,167,171,172,173,174,176,177,179,179,179,179,191,160,111,157,176,173,166,140,99,138,170,169,168,166,160,164,167,169,172,173,174,176,178,179,181,180,180,180,191,155,109,161,176,173,161,136,103,158,170,169,168,167,161,164,167,170,172,174,176,178,179,180,180,180,179,184,190,151,105,161,178,172,157,125,115,170,171,170,169,169,162,166,169,172,173,175,177,179,179,180,181,181,179,191,190,144,104,167,176,166,153,113,141,175,172,172,171,170,164,168,171,173,174,176,178,180,181,181,179,175,177,197,185,135,114,177,170,159,138,107,163,176,174,173,172,171,164,168,171,174,175,178,180,181,181,185,177,140,136,176,157,115,118,179,167,158,117,121,177,177,175,175,174,173,165,168,172,174,176,179,181,181,182,185,180,145,114,111,104,91,127,175,168,146,105,154,180,177,176,175,174,173,166,169,172,175,178,180,181,182,185,191,182,178,150,120,85,84,125,153,153,122,113,175,180,178,177,176,175,174,166,170,174,176,179,181,183,184,191,196,193,204,182,138,92,85,100,114,119,100,142,182,180,179,178,178,177,176,167,171,174,177,180,181,184,187,188,164,180,187,174,130,94,84,89,95,95,102,170,183,182,181,180,178,179,178,167,171,175,178,181,182,184,194,175,140,162,137,160,141,106,87,80,86,86,127,184,184,183,183,181,179,179,179,169,173,176,179,182,184,185,199,182,149,121,92,143,158,120,91,79,81,86,153,187,186,184,183,182,182,181,180,171,174,177,180,182,184,187,198,165,130,109,90,128,170,135,103,86,81,87,166,188,187,186,184,183,183,182,180,170,174,178,181,183,184,194,200,164,147,134,117,167,182,147,124,96,86,87,167,191,189,188,186,184,183,183,182,170,175,178,181,183,184,200,199,172,156,133,159,208,184,148,133,103,91,94,171,192,189,189,188,185,184,184,183,171,176,179,181,184,186,204,206,184,149,146,205,204,170,140,131,107,95,102,178,191,190,189,189,187,186,185,183,171,176,179,181,185,187,208,213,177,152,160,214,194,166,136,121,109,96,113,186,190,190,189,189,188,187,185,183,172,176,180,183,186,187,207,201,166,165,165,212,191,167,145,110,102,95,130,191,192,192,191,190,188,187,186,185,171,175,179,181,184,187,200,186,182,174,165,209,186,159,141,111,100,96,149,193,192,192,190,190,189,188,187,185,171,174,176,180,183,185,192,193,202,174,173,200,172,145,125,108,101,100,164,194,192,190,189,188,187,186,186,183,171,175,177,181,184,187,189,198,196,164,161,183,158,131,110,103,98,109,178,194,192,191,190,188,188,187,186,184,172,175,178,181,184,188,189,193,181,160,150,167,153,127,113,102,95,117,187,194,193,192,191,189,189,188,187,185
1,166,167,169,170,170,170,170,169,169,168,167,167,167,166,165,163,163,162,160,160,158,156,153,152,150,149,147,145,167,168,169,170,171,171,171,170,170,169,168,168,166,163,160,146,149,161,161,159,158,156,154,153,151,149,148,146,167,168,169,171,171,172,172,172,171,170,169,169,162,141,140,125,121,151,158,160,158,157,155,154,152,150,149,148,169,170,171,171,172,173,173,173,172,171,171,170,160,122,118,119,96,112,131,157,160,158,156,155,153,151,150,149,171,172,172,173,174,174,174,175,174,173,172,171,156,114,113,115,82,91,105,148,161,159,157,156,154,152,151,150,172,173,174,175,176,176,176,176,176,173,169,168,151,108,116,111,80,96,98,140,162,160,159,157,156,154,152,151,174,175,176,178,178,178,178,178,178,172,149,148,144,107,123,113,84,102,95,134,163,162,161,159,158,156,154,152,176,177,178,179,179,180,180,180,179,171,134,126,138,108,124,109,86,108,98,133,164,164,163,161,159,157,156,154,178,179,180,180,181,181,181,181,180,167,123,121,127,103,122,102,92,116,100,131,165,166,165,163,161,159,158,157,179,180,181,182,183,183,183,183,182,163,115,121,121,102,124,104,102,120,96,130,167,168,166,165,162,160,158,158,180,181,182,183,184,184,185,184,183,162,113,124,127,106,127,110,103,119,98,134,169,170,168,166,164,162,160,158,181,182,183,184,185,186,186,186,184,158,107,123,131,104,121,106,99,121,104,135,170,171,169,167,166,163,161,159,181,183,185,185,186,187,187,187,186,159,108,119,125,95,109,98,99,120,102,131,170,172,171,169,167,164,163,161,183,185,186,187,187,188,189,188,188,162,111,113,123,106,114,117,116,108,95,117,157,172,172,170,168,165,164,162,184,186,187,188,189,190,190,189,188,162,125,121,120,119,120,125,121,101,92,93,124,167,172,170,169,166,165,164,185,186,188,189,190,191,192,192,190,170,142,120,106,108,113,119,115,103,95,95,106,156,172,171,169,167,165,164,186,187,188,190,191,192,193,194,193,172,137,107,96,100,114,121,114,109,115,119,107,139,172,172,170,167,165,164,187,188,189,191,192,192,194,195,194,170,132,101,95,103,120,130,133,136,132,132,115,123,167,173,171,168,166,164,188,189,190,192,193,193,194,195,192,171,135,103,96,108,126,139,148,154,140,130,116,107,158,174,172,170,167,165,189,189,191,193,193,194,195,195,190,173,143,110,95,108,129,144,151,152,141,121,100,93,153,174,172,170,168,166,189,190,192,193,194,195,195,195,189,175,150,119,98,103,131,153,156,150,133,110,88,96,160,175,172,170,169,167,189,190,192,194,195,195,196,195,188,172,151,124,103,105,136,159,157,145,126,102,83,119,172,176,173,171,170,168,189,191,193,194,195,196,197,196,188,171,152,130,111,114,143,159,153,138,117,94,87,145,178,177,174,172,171,168,190,192,193,195,196,196,198,198,191,173,155,138,122,123,146,156,148,130,106,84,104,167,180,178,175,174,172,170,191,192,194,195,197,197,199,199,195,178,160,145,130,123,139,144,134,116,92,82,137,179,181,179,177,175,172,171,191,193,194,196,197,198,199,200,197,185,166,149,133,122,129,129,115,95,80,111,169,183,181,180,177,175,173,171,192,193,194,195,196,198,200,200,197,188,168,147,135,125,122,116,96,78,105,163,184,184,182,180,177,175,173,171,191,193,194,195,196,198,201,201,195,186,169,150,142,128,117,104,80,81,147,185,187,185,182,180,177,175,173,171
10,152,153,153,155,155,157,159,158,158,159,159,158,157,157,155,154,153,152,150,149,144,158,146,100,140,138,136,134,157,158,159,161,161,161,163,164,163,164,162,163,162,162,160,160,158,155,155,154,146,172,160,73,133,142,138,137,163,164,165,167,167,168,168,169,170,170,167,167,168,167,166,165,163,161,160,160,152,176,162,75,126,150,141,140,169,171,171,172,173,174,173,174,174,173,174,173,173,172,171,169,167,167,164,164,157,180,149,68,125,157,146,144,174,176,176,178,178,178,178,178,180,179,179,181,179,178,176,175,173,172,169,169,163,184,155,72,125,162,150,150,179,180,181,183,183,183,184,183,186,185,183,185,186,184,182,181,178,175,174,174,168,194,162,78,131,166,155,153,183,185,185,186,186,188,188,189,189,188,187,188,190,188,186,186,182,181,179,176,176,202,151,131,135,168,160,157,187,189,189,190,190,191,193,193,192,192,193,193,193,192,190,189,188,187,184,183,185,195,172,159,77,171,164,161,189,192,193,194,195,195,196,196,194,195,196,195,196,196,195,194,193,191,187,183,153,142,181,159,53,150,176,164,194,194,196,198,199,197,198,199,199,199,197,199,200,200,200,197,195,196,196,199,185,144,121,139,81,67,182,169,197,198,199,201,202,202,202,204,204,203,203,203,204,203,203,203,199,185,164,182,204,169,129,89,94,48,115,185,202,203,203,204,204,205,206,205,205,206,206,206,206,206,202,198,207,174,128,89,117,185,184,139,66,61,69,186,204,205,206,207,207,207,209,208,208,208,209,209,207,208,182,131,154,203,166,105,4,112,179,99,50,41,81,190,207,207,209,210,209,210,211,211,211,211,211,211,209,206,193,159,110,186,198,138,43,11,47,104,83,39,93,197,209,209,210,211,212,212,212,212,212,212,213,213,212,195,195,196,146,132,207,150,87,24,25,149,140,49,101,200,211,211,212,214,215,215,213,215,215,215,216,214,210,176,141,184,163,83,156,166,92,33,59,143,163,65,94,201,212,213,214,216,217,216,217,218,218,218,219,215,211,192,116,112,144,49,87,172,92,43,73,138,149,60,88,202,213,215,217,218,219,219,219,220,220,219,220,218,201,177,142,95,118,82,63,161,153,81,78,141,101,41,113,206,215,218,218,218,220,220,220,221,221,221,221,217,207,214,184,115,105,114,71,134,181,110,64,116,75,34,164,203,218,219,219,220,221,221,222,222,222,223,223,222,206,220,195,150,116,106,101,168,165,85,59,97,64,55,200,197,219,220,221,222,222,223,224,223,224,226,227,228,208,214,207,169,130,120,141,214,201,147,102,94,52,94,213,196,219,221,223,223,224,225,226,226,226,227,229,229,212,196,200,179,148,135,145,206,202,170,124,91,39,137,215,197,217,219,221,222,222,221,222,224,227,228,227,229,219,191,198,187,175,153,146,199,192,152,105,75,44,184,209,202,218,219,220,221,222,223,222,224,227,228,228,228,229,194,181,193,187,158,132,178,164,129,92,46,78,214,200,201,220,219,221,224,224,226,227,227,228,229,229,228,230,215,172,182,175,154,124,144,144,109,75,26,146,217,199,200,221,222,222,224,225,226,227,226,227,228,229,228,228,228,193,179,165,146,124,124,144,109,54,65,210,207,203,200,219,222,225,228,229,232,233,233,234,236,236,236,237,230,204,182,162,154,142,123,137,102,36,137,222,203,206,209,126,128,134,140,144,151,158,163,168,173,177,183,192,190,196,188,166,173,150,129,130,88,38,168,212,202,196,146
17,135,136,137,139,142,143,144,146,147,146,148,149,150,151,152,153,153,153,154,154,155,155,155,155,154,155,155,155,136,137,138,141,142,143,144,146,147,148,149,150,151,152,152,154,154,154,154,154,155,155,156,157,156,157,157,156,137,138,141,143,144,145,146,147,148,149,150,151,152,153,153,154,155,156,155,155,157,156,157,157,157,158,158,158,138,139,142,143,144,146,147,148,149,150,151,152,153,154,155,155,156,157,157,157,159,157,157,159,158,159,159,159,137,140,142,144,145,147,148,148,150,151,152,153,154,155,155,157,157,157,155,160,158,158,159,159,159,160,160,159,138,140,142,143,146,148,148,149,151,151,153,154,154,155,157,157,157,160,143,125,127,122,163,159,160,160,160,160,139,141,143,144,146,148,149,150,151,153,154,154,154,156,157,158,157,165,161,112,89,105,162,160,161,161,161,161,140,141,144,146,147,148,149,151,153,155,156,156,157,158,157,159,158,165,168,128,83,111,169,160,162,161,160,161,141,142,144,146,147,148,150,152,154,154,155,157,158,155,161,160,160,162,173,144,91,126,170,161,162,161,161,162,141,142,145,147,148,150,152,153,153,154,155,155,159,145,131,163,160,163,174,143,103,149,167,164,163,162,162,162,141,143,146,147,149,150,152,153,154,155,156,158,164,153,117,124,162,173,170,137,106,156,166,164,164,163,163,163,141,144,146,148,150,151,153,153,153,158,149,134,160,166,154,139,121,145,164,139,105,155,168,165,164,164,163,164,142,144,147,148,150,152,154,153,157,176,149,111,143,164,175,165,127,93,135,134,106,155,169,165,164,164,165,164,142,145,148,149,151,153,155,153,165,153,157,135,134,123,153,177,151,101,104,121,101,153,169,166,164,165,166,165,143,145,148,150,151,152,155,152,171,146,123,127,103,77,109,189,165,118,91,103,94,153,170,166,166,166,166,165,144,146,147,150,151,153,155,156,169,138,113,126,108,98,109,186,176,136,93,96,90,150,170,166,167,166,166,166,144,146,148,150,152,154,154,161,172,152,140,131,115,132,121,177,179,144,103,93,90,146,172,166,167,167,166,166,144,146,149,151,152,155,153,169,166,138,133,128,124,140,159,177,164,150,111,89,88,147,172,166,168,168,167,167,145,147,149,151,154,156,154,175,157,135,128,128,135,150,194,176,150,141,109,85,82,149,173,168,168,168,168,168,146,147,148,151,154,156,154,180,159,142,130,130,137,180,188,173,148,132,105,84,83,157,172,169,168,168,168,168,146,148,149,152,153,154,158,182,161,149,131,131,157,192,177,168,141,127,101,82,97,172,168,169,168,168,168,168,145,147,150,153,155,153,163,184,162,155,142,132,172,190,173,166,135,118,99,78,126,176,167,169,169,168,167,167,145,147,150,153,156,154,167,188,164,162,155,138,175,181,167,162,137,109,93,85,159,171,169,170,170,170,169,169,146,148,152,154,156,154,164,191,170,166,160,146,164,176,165,156,133,107,84,114,177,168,169,169,171,170,169,169,146,148,152,154,156,156,160,189,176,162,154,153,156,168,161,163,130,103,81,138,176,167,169,170,170,169,169,170,147,149,152,154,156,158,158,185,172,162,150,152,158,159,160,164,130,101,85,153,175,170,171,171,171,170,170,170,146,149,151,153,156,157,160,184,171,162,151,151,159,157,160,157,124,99,101,171,171,171,171,171,171,171,171,170,146,147,149,153,156,156,163,186,178,163,155,157,163,152,157,147,115,90,134,178,170,171,171,171,171,171,171,170
0,175,172,173,173,175,175,174,175,175,175,179,179,174,176,176,177,177,175,176,178,174,174,174,177,176,173,173,173,175,174,176,175,176,177,177,178,177,178,179,179,180,177,175,175,176,173,178,178,175,177,177,178,177,176,176,175,175,177,178,176,177,179,179,176,180,183,178,179,183,181,177,178,178,177,178,178,177,178,177,177,178,176,175,174,178,179,179,179,180,180,178,178,170,158,179,176,174,180,179,172,173,185,183,183,184,178,175,179,179,177,177,176,180,178,179,181,181,180,176,192,168,84,71,138,134,112,147,158,132,114,167,166,165,184,183,178,180,180,178,178,180,179,179,181,180,182,180,185,178,77,0,92,143,57,39,145,123,35,36,112,73,70,126,185,179,178,178,178,181,180,180,180,177,180,173,138,168,99,18,56,125,46,2,112,90,22,3,102,67,3,17,108,189,177,180,179,182,181,183,183,176,172,159,110,129,143,59,10,95,46,0,92,82,2,12,109,60,0,33,60,118,196,176,180,183,183,184,183,179,172,158,119,80,109,64,0,75,42,0,78,108,9,9,120,80,4,50,105,37,147,190,177,184,183,183,184,182,172,152,116,70,51,27,3,68,22,0,92,101,0,32,133,107,76,68,77,38,51,200,177,184,185,185,185,181,171,159,141,104,46,26,21,35,11,0,65,62,44,125,126,112,94,61,31,12,45,194,179,185,187,187,188,182,176,166,154,136,87,31,16,8,33,46,49,95,140,146,135,115,79,58,36,0,77,200,179,186,186,187,190,184,179,174,159,149,130,66,20,22,41,50,97,151,156,154,144,117,71,46,34,0,114,203,181,187,187,188,189,183,178,185,169,163,153,107,60,61,45,70,133,154,165,172,148,108,68,41,25,2,166,195,184,187,189,189,190,185,164,190,183,178,168,141,109,100,73,80,132,148,168,178,148,99,61,40,7,57,201,186,187,189,190,190,190,191,154,178,193,190,177,155,135,122,107,94,124,155,171,163,138,85,51,42,5,139,199,188,187,190,191,190,190,199,157,158,193,195,183,166,148,134,121,111,110,142,168,151,125,74,48,28,28,189,189,189,189,190,190,189,191,196,176,134,182,195,193,175,160,146,133,112,103,120,145,133,100,63,46,5,73,206,187,189,190,191,191,191,190,192,197,135,158,194,196,174,152,146,133,113,102,111,128,115,74,50,38,0,152,198,188,192,190,190,190,192,194,190,199,164,137,196,191,158,143,146,125,119,103,91,103,99,58,41,0,67,201,191,188,193,191,191,192,194,195,192,196,181,152,190,192,164,157,164,135,122,98,75,79,86,56,20,17,174,196,192,193,194,194,192,192,194,196,194,196,187,159,194,199,177,164,177,143,118,97,71,63,73,55,0,121,204,193,195,195,196,196,192,192,195,195,193,197,189,146,190,198,186,170,170,139,114,93,74,58,68,40,11,177,198,196,197,196,195,196,192,191,193,193,194,198,189,140,189,196,186,168,158,135,110,93,79,54,62,27,36,193,189,199,197,197,197,197,191,189,190,190,193,197,185,158,187,196,186,170,153,135,115,91,80,55,52,15,60,213,190,196,197,197,197,197,192,191,190,192,193,196,176,175,188,183,181,164,151,133,114,90,78,51,44,11,83,213,190,195,195,197,197,197,193,194,192,193,194,195,172,170,182,178,179,153,140,128,114,89,70,42,37,6,112,200,189,195,194,195,195,195,194,193,191,193,196,196,168,163,178,183,179,149,126,119,111,90,65,35,29,4,145,197,192,195,195,195,195,195
0,191,192,193,193,193,195,196,196,196,197,196,196,196,196,196,196,193,193,195,196,196,196,197,196,195,195,195,195,193,193,194,194,194,195,196,196,197,198,197,197,195,193,196,199,183,172,182,191,190,194,197,195,194,196,197,197,194,195,195,196,196,196,196,197,198,199,200,200,191,176,184,200,175,150,144,153,158,167,184,180,174,194,198,199,195,196,196,197,198,198,198,198,198,197,204,212,192,164,158,188,178,157,126,116,137,139,150,159,146,190,199,200,196,196,197,198,199,199,199,200,199,185,195,216,195,170,154,188,189,167,131,118,146,137,127,145,137,185,201,201,196,197,198,199,200,200,200,209,207,173,167,204,202,178,154,188,201,175,137,128,157,136,112,133,128,172,201,202,197,197,199,200,201,201,204,216,211,180,161,189,209,182,151,180,207,178,135,128,157,130,100,123,121,144,196,202,198,198,200,201,202,203,210,210,209,190,165,170,207,181,145,166,204,173,126,112,141,120,90,118,122,114,179,203,199,199,201,202,202,207,207,194,208,197,165,151,196,179,138,143,188,161,114,93,119,107,86,121,128,105,163,203,200,201,202,202,203,210,198,178,197,195,162,137,178,172,130,118,162,148,110,86,104,97,89,134,139,110,161,203,200,201,202,202,205,210,195,174,180,182,151,121,152,159,121,98,138,139,107,85,104,98,108,156,151,117,164,205,199,200,200,201,208,207,188,161,156,166,141,109,133,150,115,83,122,136,105,94,120,110,134,173,156,120,168,206,198,199,200,201,210,215,193,160,136,150,135,103,123,148,115,79,119,143,122,138,154,133,142,172,155,123,174,206,198,200,201,201,211,220,200,166,130,125,130,108,120,154,127,93,127,159,161,174,169,147,133,150,145,121,177,206,199,201,202,202,213,222,207,178,145,121,126,122,127,162,152,145,170,183,181,175,161,143,126,119,117,111,176,207,201,201,202,202,213,224,213,189,164,145,138,141,154,173,183,193,199,196,184,170,152,132,118,105,95,103,175,207,200,202,202,203,212,223,216,198,180,167,156,152,163,181,194,202,203,198,184,167,148,126,110,99,91,111,184,209,200,201,203,203,210,220,218,207,194,181,167,159,162,178,193,201,199,193,180,162,144,122,105,95,101,150,201,210,198,200,202,200,203,217,220,216,204,188,172,163,164,178,195,201,195,187,175,158,139,117,99,97,141,193,209,210,179,181,184,184,186,208,220,220,206,190,175,164,164,180,196,198,190,180,169,152,131,110,95,121,184,207,209,209,124,125,128,130,136,186,215,215,203,192,178,166,163,179,193,189,177,166,155,140,121,103,97,139,180,186,188,190,102,103,103,103,105,162,207,203,198,193,182,168,161,176,187,179,162,145,133,122,109,99,98,113,124,127,134,145,103,103,104,103,103,151,200,195,195,194,184,169,160,172,183,171,148,124,111,104,98,99,102,104,111,130,159,181,103,102,102,103,104,145,198,192,195,193,181,169,161,167,176,162,132,106,96,94,100,107,119,136,166,195,208,207,103,102,102,103,104,142,204,200,197,191,178,168,160,158,163,150,118,96,90,95,111,137,176,205,220,221,215,206,102,101,102,103,103,139,206,208,201,189,176,169,162,151,154,142,109,90,89,110,151,198,225,231,228,223,223,219,103,102,103,103,103,136,201,210,203,188,176,171,162,146,148,136,104,85,100,156,203,225,231,228,219,218,225,228,104,103,103,104,102,135,195,208,202,185,173,170,163,143,142,132,100,83,130,199,216,226,226,220,214,217,224,229
4,103,108,113,115,117,121,123,125,127,129,131,133,135,136,138,139,139,139,141,144,143,144,146,146,146,146,146,147,104,109,114,116,118,120,123,126,128,129,130,133,135,138,137,137,141,143,142,142,146,145,146,147,147,147,147,148,105,110,114,117,120,122,124,126,127,130,132,134,132,138,141,141,138,132,141,145,143,148,148,147,148,148,148,148,106,111,114,117,121,123,126,127,129,130,128,138,147,132,126,158,141,100,84,128,115,109,148,149,148,149,150,150,106,112,115,118,121,124,128,127,129,145,127,118,140,138,91,129,134,96,57,87,110,73,106,157,148,150,150,151,106,111,115,118,122,125,129,124,146,168,148,122,92,99,85,105,131,86,53,110,111,76,69,155,152,152,152,152,107,112,116,119,122,126,127,127,165,140,150,115,85,61,67,116,145,82,92,128,93,58,56,149,153,151,153,153,109,113,117,119,122,127,123,139,156,116,145,92,66,65,62,92,123,119,137,117,97,48,68,154,152,153,154,154,109,114,117,120,124,127,122,152,152,124,137,94,61,78,91,94,120,135,118,124,118,88,86,162,152,155,155,155,107,113,118,121,124,127,126,163,144,129,123,106,47,96,144,124,123,117,103,142,129,118,97,146,157,154,157,157,108,114,119,122,125,126,135,160,124,104,94,78,41,60,115,107,106,79,87,149,143,137,109,94,156,157,157,157,108,114,119,122,127,122,150,160,126,106,90,67,50,43,52,66,66,76,112,132,145,138,124,87,108,164,156,158,109,115,119,123,128,125,168,155,129,116,97,78,61,53,54,61,99,151,146,134,131,116,115,106,73,143,163,158,110,116,119,124,125,132,176,153,140,120,93,78,66,60,94,139,162,160,142,131,118,98,98,100,72,130,166,158,111,116,120,124,122,148,182,157,139,113,96,91,71,95,150,162,161,159,140,124,108,89,82,84,79,154,161,160,112,116,122,125,123,161,183,156,132,114,110,98,91,139,152,154,158,151,134,116,100,84,78,68,122,167,158,160,112,116,120,126,121,166,181,151,136,132,124,106,125,146,151,154,150,141,123,106,92,80,69,86,160,159,162,162,112,117,121,127,123,169,180,157,148,141,126,119,141,147,154,150,136,127,112,97,87,76,64,139,166,159,163,164,114,118,122,126,123,163,180,164,154,141,126,116,135,147,146,140,126,117,103,89,82,64,101,168,160,161,164,164,114,119,123,126,123,153,178,162,154,141,122,109,127,136,135,129,116,108,95,82,72,72,153,165,162,161,163,164,114,119,123,127,127,144,174,154,140,131,116,115,126,135,134,123,107,98,86,75,63,135,167,162,164,164,164,164,115,119,124,128,128,142,166,139,134,127,121,127,121,126,127,116,102,91,81,60,113,167,162,163,164,165,165,165,115,119,123,129,127,140,163,138,141,134,140,138,117,115,121,108,92,86,66,87,163,160,163,164,164,165,165,165,116,120,124,128,129,149,163,150,144,141,137,129,113,103,113,101,86,79,63,144,163,162,165,165,165,166,165,166,116,121,125,125,152,166,143,139,149,144,130,118,107,96,102,93,85,62,97,167,160,164,164,164,165,166,166,166,116,121,121,137,170,160,163,110,116,145,122,111,103,89,90,87,83,55,114,169,160,163,165,165,165,166,166,167,117,122,124,163,162,159,163,160,97,99,112,108,95,77,86,81,78,56,119,170,161,164,165,166,166,167,167,168,119,117,147,169,154,161,161,160,161,89,80,100,87,75,82,76,75,54,124,169,162,164,165,166,167,168,168,168
19,185,189,192,195,198,200,202,203,203,204,205,204,205,204,205,205,205,204,204,203,203,202,201,199,206,209,185,224,188,192,196,198,200,202,205,206,207,207,208,208,208,209,207,208,207,207,206,207,206,206,205,201,214,179,177,228,192,195,198,202,204,206,208,210,211,212,212,212,213,207,214,212,211,210,210,210,209,209,208,206,207,210,222,226,195,199,201,204,207,209,212,212,213,215,213,223,221,175,176,218,213,213,212,212,212,211,210,210,207,214,209,187,198,201,204,207,210,212,215,216,217,218,215,235,219,169,140,207,220,215,215,215,215,214,213,212,210,211,198,190,202,205,208,211,214,217,218,218,220,223,219,237,219,180,136,185,227,217,218,217,217,217,215,214,213,213,209,211,204,208,211,214,217,220,221,222,223,225,222,239,224,189,140,164,231,220,220,220,220,219,218,217,216,215,211,214,207,209,213,217,220,222,223,225,226,228,225,240,222,182,132,143,234,227,226,224,224,223,221,219,218,217,215,218,209,213,217,220,222,225,227,228,229,232,230,241,218,182,159,175,208,204,213,216,218,218,223,226,225,222,219,219,211,215,219,222,224,228,230,233,232,230,227,232,223,218,222,223,196,172,190,202,190,182,188,189,204,213,219,224,213,217,220,223,227,229,225,209,211,224,225,232,228,231,228,213,198,184,194,209,197,193,191,178,203,202,189,223,215,218,222,226,227,241,225,205,213,217,216,217,215,210,206,196,184,160,159,176,183,186,187,177,184,192,168,209,216,219,223,228,230,248,226,215,211,199,201,206,204,200,201,198,190,147,179,191,190,185,179,175,178,196,122,193,218,221,225,227,235,228,189,180,189,197,211,213,206,205,204,202,198,163,212,251,241,238,235,231,240,209,108,150,219,222,227,228,244,213,189,185,187,195,200,197,201,203,201,200,186,147,203,245,237,237,236,235,244,152,117,115,220,223,227,231,237,200,200,201,198,188,166,172,188,179,168,174,160,139,231,240,242,247,246,240,205,124,120,120,221,224,229,232,238,229,213,193,185,191,195,192,189,184,178,174,164,154,246,251,235,207,171,135,117,118,120,121,222,225,230,232,242,251,228,192,171,187,195,194,193,191,185,178,175,153,199,179,118,106,112,107,108,116,116,118,222,226,229,234,243,251,229,194,182,177,168,171,176,175,168,162,158,146,108,94,104,98,104,101,114,113,111,115,223,228,229,235,242,241,237,201,186,170,154,157,170,170,162,157,146,128,109,107,110,104,99,96,106,108,105,111,224,229,230,239,245,247,247,214,183,162,177,184,182,177,168,162,144,101,100,112,104,102,103,102,96,100,101,106,224,228,229,238,247,247,250,222,181,160,170,176,173,165,154,149,142,101,91,104,106,103,95,96,102,101,101,102,223,228,228,234,248,244,234,201,179,171,170,176,175,161,150,154,135,102,95,95,104,105,98,87,95,97,106,106,223,228,229,234,245,238,225,197,180,177,170,172,159,143,151,154,100,97,101,93,94,105,104,90,89,91,101,104,223,228,228,234,241,237,218,195,177,178,173,158,133,125,134,124,83,87,96,93,93,96,106,98,86,91,89,87,225,230,228,232,236,230,200,177,181,202,174,132,125,101,70,94,101,84,89,94,93,94,97,104,90,87,89,86,216,220,220,235,231,221,198,182,194,197,164,129,123,93,65,79,101,96,87,94,90,90,92,97,97,82,87,85,160,156,206,240,229,220,203,199,204,188,159,135,112,105,71,70,90,101,93,91,89,84,90,90,96,87,81,86
13,195,196,196,196,195,196,197,198,197,196,197,197,198,199,199,199,199,199,200,200,200,199,198,198,198,197,196,195,196,197,198,197,197,197,198,198,198,198,198,198,198,200,200,200,200,200,200,200,201,200,199,199,199,199,197,196,197,198,198,199,199,199,199,199,199,199,200,200,200,201,201,202,200,196,196,199,201,201,200,200,200,199,199,198,197,198,199,199,199,201,201,201,200,200,200,202,202,203,207,211,207,186,169,175,184,191,199,202,201,200,200,200,197,198,199,200,200,201,201,201,201,200,201,202,202,209,221,226,220,192,152,128,132,145,178,201,202,201,201,201,198,198,199,200,201,201,201,202,203,202,202,200,198,203,204,211,218,199,157,115,103,116,144,197,203,202,202,201,199,199,200,201,201,201,202,202,203,203,205,193,179,187,181,181,201,200,172,124,108,129,138,192,203,203,203,202,199,200,201,201,202,202,203,203,203,209,218,193,166,175,183,187,197,193,174,126,102,124,141,191,204,204,204,203,199,200,201,202,202,203,203,203,201,204,216,201,175,155,158,180,194,181,148,109,88,124,175,201,206,205,205,204,200,200,201,201,202,203,203,209,197,165,169,197,191,155,113,127,169,175,155,135,114,123,183,206,206,205,205,205,199,200,201,202,201,203,210,217,192,141,124,174,203,168,109,74,111,141,164,177,159,128,153,200,206,206,205,205,199,200,201,201,203,211,219,208,181,142,115,146,202,177,130,76,67,91,158,199,189,152,130,176,204,206,205,205,200,200,200,201,208,214,202,187,179,154,122,120,190,187,154,102,66,75,139,204,204,172,132,141,193,206,205,204,201,201,201,203,214,207,181,171,182,165,131,101,154,195,177,132,79,82,139,200,206,178,142,123,172,205,206,205,202,201,201,205,216,209,185,166,179,170,147,111,103,170,191,162,118,115,180,202,196,172,145,121,159,205,207,206,201,201,201,205,215,209,190,165,162,171,168,137,89,113,180,188,167,152,193,197,177,151,129,114,163,206,207,206,201,201,201,204,217,218,203,178,158,159,172,158,127,96,154,194,187,185,195,186,164,136,110,112,177,207,207,206,196,197,198,200,215,224,213,193,174,164,165,161,155,131,174,210,208,205,194,176,154,127,104,124,191,208,208,207,155,157,160,165,196,225,220,203,187,177,175,164,147,151,198,223,221,207,189,170,146,119,101,139,194,203,203,203,107,108,109,112,162,219,221,211,198,188,185,178,158,154,194,220,220,203,179,160,137,111,99,124,151,156,158,159,101,101,101,101,135,204,217,214,209,199,191,184,168,150,173,210,212,196,171,146,125,105,96,100,103,106,112,120,102,102,102,102,115,178,210,213,214,209,198,186,171,154,155,191,198,183,161,135,115,100,97,107,117,133,152,168,102,102,103,104,105,143,198,211,215,212,200,185,169,156,148,167,181,168,147,127,108,95,117,160,179,191,198,204,102,103,103,104,104,114,169,208,211,205,191,177,164,152,142,147,162,158,140,120,103,99,158,205,204,198,192,194,102,103,103,103,104,104,136,198,206,192,178,168,159,147,132,133,151,157,140,113,96,115,189,210,198,182,168,165,102,103,103,102,102,103,116,180,203,184,170,165,157,143,126,124,152,160,133,103,96,150,208,210,190,159,144,145,102,103,103,102,101,104,109,165,204,190,180,172,158,141,126,122,155,155,119,96,110,186,217,217,195,150,125,134,102,103,103,101,101,103,106,159,207,198,190,180,162,144,129,123,154,145,110,92,128,201,216,223,206,157,117,122
14,149,153,158,161,164,165,167,169,171,171,172,174,174,175,175,176,175,175,176,174,173,173,172,172,172,171,170,169,150,156,159,163,166,168,170,172,173,174,174,176,177,178,178,179,177,179,177,177,177,176,175,174,174,173,172,172,152,157,161,164,168,171,173,174,175,176,178,179,179,180,180,181,180,180,183,181,180,179,177,176,176,175,174,173,154,157,162,165,170,173,174,176,178,178,179,181,182,183,182,185,180,182,172,178,181,183,180,178,179,178,176,175,156,160,164,167,171,173,176,178,180,181,182,184,186,184,184,184,201,189,162,165,164,161,185,182,179,181,180,178,157,162,166,170,172,174,176,180,180,180,185,187,187,186,186,206,202,190,175,163,154,137,134,178,185,181,181,181,159,164,169,172,174,175,178,182,183,184,186,187,188,188,206,207,207,182,174,191,162,131,92,115,190,184,183,182,160,166,170,173,176,179,181,182,186,186,187,189,188,196,208,199,193,127,83,159,133,168,92,53,133,196,183,185,162,167,170,174,178,181,183,184,186,188,190,191,198,213,201,134,101,92,62,58,93,196,135,70,99,193,186,186,165,169,172,177,180,181,184,186,187,191,190,202,222,219,185,137,89,52,50,50,42,156,165,100,75,183,191,188,165,171,175,179,180,183,186,188,191,192,193,220,218,183,142,119,97,64,46,49,63,153,137,111,77,155,199,188,165,171,176,180,182,186,188,189,192,187,213,225,206,171,107,72,73,60,48,72,173,203,183,159,90,130,203,188,166,171,177,181,184,186,188,193,187,203,236,214,200,168,112,73,51,47,62,194,205,187,182,137,71,151,204,192,168,173,178,182,184,187,190,190,194,234,223,210,195,144,110,81,43,40,165,214,198,188,169,136,63,113,210,192,170,175,179,184,186,188,193,190,228,238,219,210,182,151,117,64,34,51,105,160,218,174,150,125,79,68,182,201,171,176,181,184,188,192,190,207,244,234,218,199,179,140,100,56,53,68,62,77,178,141,150,123,100,66,164,207,171,178,183,186,190,194,190,233,242,228,210,196,170,115,82,54,84,96,97,94,85,128,152,129,77,107,203,200,173,179,183,188,189,189,208,244,230,220,202,182,147,110,78,76,103,108,109,116,99,125,140,103,83,194,205,201,173,179,185,187,200,195,235,237,223,208,188,176,137,112,85,93,109,113,112,109,110,114,115,79,175,211,201,202,174,179,186,190,131,190,254,230,213,200,185,162,145,112,88,100,114,110,102,100,113,82,66,168,215,204,205,203,175,180,194,148,69,90,187,223,192,173,160,149,125,87,87,91,103,106,95,95,76,67,155,217,205,207,206,206,175,184,176,86,84,75,73,128,169,159,123,93,63,65,77,76,88,92,77,77,136,196,217,208,210,208,207,207,176,188,117,83,75,73,71,68,79,84,73,58,51,55,58,58,59,59,87,177,224,217,213,212,210,209,209,208,185,150,80,83,69,69,67,73,57,17,33,35,31,30,32,25,89,155,205,222,213,214,214,213,212,211,209,209,174,100,81,71,68,66,65,62,75,34,17,29,24,21,22,13,67,228,218,214,216,216,215,213,213,213,211,210,122,79,73,69,68,64,61,60,69,44,8,23,21,19,22,7,90,226,213,217,216,217,216,215,215,214,212,212,92,75,63,64,61,54,55,55,70,42,5,18,17,16,19,6,170,232,217,219,219,218,217,216,215,214,213,213,91,76,68,54,42,88,74,45,73,28,7,17,14,14,13,28,207,224,219,219,219,218,217,217,216,215,213,213
23,147,149,150,154,158,163,165,168,170,172,174,175,176,178,179,180,181,180,181,181,180,180,179,179,178,177,177,177,148,151,151,155,160,163,167,168,169,173,174,175,177,179,179,181,182,181,181,181,181,181,180,180,180,179,179,178,148,151,152,156,160,163,167,169,171,174,175,176,179,179,180,182,182,182,180,181,182,182,180,181,181,180,180,179,148,152,153,156,161,164,168,170,171,175,176,178,180,182,182,182,182,182,182,184,184,185,185,183,181,180,180,180,150,152,154,158,162,166,169,171,173,176,177,179,180,181,184,183,184,184,184,184,181,168,164,176,184,183,181,181,151,152,154,159,164,168,171,173,175,177,179,179,181,182,184,185,185,184,183,182,176,166,159,151,170,172,184,181,151,153,154,159,164,168,171,173,175,178,180,181,182,184,185,185,187,190,178,184,179,148,168,162,134,114,186,182,151,154,157,161,164,168,172,174,176,179,181,183,185,186,187,186,192,188,153,160,134,92,133,122,110,153,188,183,153,156,157,161,166,169,172,176,178,180,182,184,185,187,186,192,192,184,133,85,125,161,188,176,182,190,185,186,154,157,158,162,166,169,172,175,178,181,183,184,185,187,187,197,188,185,132,111,202,189,191,191,189,186,186,186,154,156,159,163,167,172,174,177,179,181,183,185,186,185,186,190,180,181,164,164,179,157,140,186,189,187,187,187,155,157,160,164,168,173,176,178,180,182,185,186,190,177,173,171,181,186,187,193,182,160,89,157,198,187,188,187,156,158,160,165,169,172,176,179,180,183,185,191,193,173,156,156,162,160,155,167,162,150,90,144,201,187,189,188,157,157,159,166,170,173,177,179,180,184,185,195,187,163,139,131,165,173,165,154,137,141,97,135,202,189,190,189,157,159,160,166,171,174,177,180,184,184,189,199,188,162,143,139,148,165,170,175,160,128,85,126,202,190,191,191,157,158,162,167,172,175,177,181,184,184,197,200,190,176,174,174,157,138,129,139,148,125,69,133,207,190,191,191,158,159,163,168,173,176,179,183,185,187,201,199,190,175,175,165,177,160,139,128,106,95,70,128,192,194,192,192,158,159,163,169,172,175,180,183,184,199,203,204,184,164,160,133,174,175,148,124,97,76,98,134,147,204,191,193,158,159,163,168,173,177,181,179,194,210,203,196,159,122,126,111,115,154,159,115,84,81,103,124,90,152,202,192,159,161,164,169,173,179,177,189,212,210,197,176,156,123,87,94,110,183,173,106,83,80,102,100,74,73,188,197,160,161,164,169,174,176,184,211,212,202,187,167,155,129,82,111,161,178,148,92,78,75,100,93,83,66,162,203,160,162,164,169,174,174,209,215,205,192,174,171,153,118,79,75,104,120,106,74,71,91,98,93,72,96,188,197,160,162,164,170,171,190,219,210,201,185,173,166,141,115,92,68,72,80,86,83,78,101,98,84,116,188,201,195,160,159,168,172,178,218,209,204,193,176,166,154,131,108,84,81,100,105,102,98,87,81,100,154,204,200,196,197,159,160,152,145,209,215,200,194,181,168,156,142,120,100,81,94,110,112,106,91,80,124,192,204,197,197,197,197,157,167,101,67,202,212,191,181,166,153,143,130,110,95,86,102,106,100,79,88,166,206,201,197,198,198,197,197,162,145,78,67,95,165,183,166,158,147,138,123,106,87,84,97,93,74,98,182,208,198,199,199,198,198,197,197,163,100,65,72,67,75,115,134,135,132,122,115,91,69,69,77,79,119,194,207,198,200,200,200,200,198,198,198
13,141,143,149,154,159,162,165,168,171,173,174,176,178,179,179,180,180,180,180,181,181,180,180,179,179,177,176,176,142,144,149,155,160,163,166,169,171,173,175,177,178,180,180,181,181,181,181,182,183,182,181,181,180,179,177,177,143,145,150,156,161,164,167,170,173,175,177,178,179,181,182,181,182,182,183,184,184,184,182,182,182,180,178,179,143,146,152,157,161,165,168,172,174,176,179,178,182,180,178,183,184,184,184,185,185,184,183,183,182,181,181,180,143,146,152,159,163,166,170,173,175,176,178,183,211,193,154,169,186,185,184,186,186,185,185,184,184,182,181,181,144,147,153,159,164,168,170,173,175,176,178,191,238,219,167,146,185,186,166,164,185,186,186,186,186,184,182,182,145,148,153,159,165,169,171,173,176,187,182,181,232,223,182,139,157,167,141,113,167,189,187,187,186,185,184,183,145,148,153,159,165,169,172,172,191,220,184,157,192,198,168,115,136,132,110,94,139,190,187,187,187,186,186,185,145,149,155,160,165,169,185,175,194,227,195,154,168,184,157,116,142,119,91,87,132,191,189,189,188,188,187,186,147,150,157,162,165,181,221,180,155,209,209,165,138,181,188,175,164,136,91,77,136,192,191,189,188,188,187,186,148,151,158,163,164,204,228,192,152,173,212,172,115,122,175,185,176,172,140,88,149,194,192,190,189,189,188,187,148,151,157,162,167,209,217,203,162,138,199,177,126,66,105,140,171,192,186,137,157,193,192,191,191,190,189,188,146,150,155,160,171,212,202,201,168,125,169,189,138,68,66,97,162,208,210,182,136,176,192,191,190,188,188,188,146,149,155,159,186,225,201,194,178,129,124,188,145,79,79,148,187,194,195,180,136,139,192,192,191,189,188,188,147,151,156,160,213,225,193,174,176,141,96,168,167,131,167,202,197,190,171,152,145,119,180,193,192,191,190,189,148,152,157,161,220,228,199,164,160,167,122,153,204,214,210,199,189,179,155,133,132,120,177,193,192,192,191,190,146,151,157,162,224,233,211,193,174,177,190,208,225,225,204,188,182,161,140,119,113,143,191,193,192,192,191,189,145,150,156,163,226,237,220,207,192,181,202,222,225,218,194,173,163,147,131,108,121,180,194,193,191,192,191,189,145,150,156,160,219,238,225,208,193,183,198,219,219,202,178,157,146,140,118,109,163,192,192,191,189,188,188,187,129,130,134,132,194,235,227,213,196,188,199,215,203,176,161,151,146,129,105,109,138,140,139,137,136,136,135,135,103,104,106,101,151,230,226,215,200,193,197,209,192,162,147,149,139,114,101,99,99,97,96,95,95,94,93,93,107,109,109,107,127,219,219,214,201,189,190,206,191,153,135,134,119,104,102,103,102,100,99,98,98,97,96,96,108,109,110,110,115,204,212,214,206,191,186,202,186,141,123,118,106,102,103,101,102,102,101,100,99,99,98,97,111,111,111,111,110,191,212,219,214,197,182,196,183,138,119,109,102,104,104,102,101,101,102,101,100,100,99,97,112,113,113,112,108,179,217,227,222,204,179,189,185,142,115,102,101,105,104,102,101,101,101,100,99,100,98,97,111,112,113,114,110,159,223,230,221,202,178,182,186,143,112,98,101,106,105,103,102,102,101,99,100,100,98,98,111,112,112,111,111,134,216,219,202,188,176,176,179,143,111,96,102,106,104,103,103,105,101,99,100,99,100,155,111,112,113,113,112,120,207,213,187,182,182,170,171,145,112,95,101,106,105,103,103,106,101,99,99,98,135,208
24,114,122,129,133,136,141,143,145,148,151,153,156,158,160,162,163,164,165,167,168,170,171,172,172,172,172,172,172,116,123,130,134,139,142,144,147,150,152,154,159,160,162,163,165,167,168,170,172,173,173,174,173,172,172,173,174,118,125,132,135,139,143,145,148,152,154,156,159,163,164,165,167,167,170,172,173,174,174,174,174,175,175,175,175,120,126,134,139,141,145,145,149,152,155,158,161,164,165,166,169,169,172,173,174,175,176,177,175,177,178,177,178,122,128,135,140,143,145,148,150,154,158,161,162,164,165,166,170,172,173,173,175,177,179,179,177,179,178,178,179,123,129,135,141,144,153,141,152,155,158,160,164,166,166,169,172,173,174,175,176,177,179,178,179,179,180,180,179,123,130,136,138,163,160,102,150,157,159,162,166,167,169,172,173,174,175,177,178,178,179,180,181,182,182,181,183,125,132,138,140,182,130,100,155,158,162,164,167,169,170,173,173,176,178,178,181,184,184,181,181,183,184,183,184,127,135,135,155,183,109,115,161,158,164,169,168,170,175,176,175,176,179,179,169,146,160,185,183,184,184,184,184,127,136,131,177,172,96,133,161,162,158,150,168,168,150,164,181,178,182,154,117,95,103,185,187,186,186,186,186,128,136,137,198,151,128,145,146,183,161,112,144,169,138,116,164,187,171,120,89,90,144,189,186,187,187,187,187,131,134,147,201,151,196,159,135,182,158,102,149,158,140,101,122,202,152,104,88,165,193,186,187,188,188,188,187,131,131,165,198,186,205,168,135,175,147,94,143,148,120,87,157,181,131,90,128,199,185,189,189,190,189,189,190,133,130,178,197,184,224,168,129,169,140,86,76,129,124,131,170,137,105,90,176,191,189,190,191,191,191,191,191,135,131,187,212,180,212,161,115,175,124,104,118,158,164,147,141,128,87,125,198,189,192,192,192,191,192,192,192,132,142,200,198,176,192,145,100,169,176,186,190,167,144,126,114,117,87,166,198,191,193,192,193,193,193,193,194,126,170,179,163,149,167,154,127,197,216,198,180,158,135,112,104,100,101,193,194,194,194,194,195,196,195,195,195,132,203,183,158,139,138,157,205,221,207,197,182,150,124,103,101,85,138,204,193,196,196,196,196,196,196,195,196,155,221,183,163,150,128,157,228,207,196,186,161,137,114,97,94,80,172,201,196,197,198,198,198,197,197,197,197,190,225,184,176,167,177,210,219,199,181,170,145,121,105,96,92,85,182,201,197,197,198,198,199,200,199,199,199,210,226,194,185,175,201,212,197,181,165,157,133,111,101,96,87,105,199,197,198,199,199,199,201,200,200,200,199,214,235,203,187,173,188,198,186,175,153,148,123,106,94,91,79,157,203,197,200,200,201,200,202,202,201,200,201,202,240,207,195,179,183,195,189,169,152,141,115,99,88,72,125,203,198,200,201,201,201,202,203,203,202,202,202,178,232,202,189,188,179,178,184,158,137,127,107,85,75,133,194,197,198,200,202,203,204,203,202,202,203,205,204,164,213,205,193,194,178,161,175,158,133,118,95,68,133,202,196,198,200,201,202,203,204,205,204,205,205,205,205,155,209,207,193,182,177,155,167,152,132,113,76,95,190,193,196,199,201,201,202,203,204,205,205,205,206,206,205,156,217,209,187,168,176,155,155,147,126,113,74,133,201,193,198,200,201,202,204,205,204,205,205,206,207,207,207,162,217,210,179,158,179,152,147,148,124,106,78,142,201,193,199,201,202,203,205,206,206,206,207,207,207,208,208
7,123,126,130,134,138,139,141,143,144,146,147,148,148,147,148,148,148,148,147,146,146,146,145,144,143,142,141,140,124,128,132,136,138,140,143,144,145,146,149,149,151,150,149,149,150,149,148,148,147,146,146,146,145,143,143,142,125,129,133,137,139,142,144,146,147,148,149,150,151,151,151,151,151,150,149,149,149,148,147,146,145,144,144,144,126,131,134,138,141,143,145,148,149,149,151,152,152,152,153,153,152,152,151,150,151,150,148,147,147,146,145,145,128,133,135,139,142,144,147,149,149,152,152,153,154,154,154,153,154,155,154,152,149,148,148,150,148,147,147,146,129,133,136,140,143,146,147,149,150,153,153,155,157,158,157,154,151,147,144,128,142,166,130,148,151,149,147,146,131,134,138,142,145,147,149,151,152,153,155,155,150,143,139,140,138,128,129,118,135,150,108,144,150,148,151,148,132,135,140,144,146,148,150,151,151,151,146,137,125,108,119,131,134,116,107,100,94,109,113,157,166,112,150,150,133,137,142,145,147,149,146,130,127,127,127,126,119,112,99,103,92,93,112,114,112,118,129,149,144,95,149,152,133,138,142,146,150,154,140,126,127,121,113,115,118,107,96,92,106,131,146,132,122,116,102,88,100,133,155,151,134,138,142,147,157,148,135,132,127,104,104,122,132,118,113,106,105,118,122,106,89,79,92,119,145,158,154,153,135,139,146,152,144,140,140,137,111,79,96,107,110,100,99,97,81,85,78,82,104,133,159,162,159,155,155,154,135,144,151,147,145,142,134,137,119,86,83,72,63,57,58,65,74,96,129,152,165,165,159,158,157,157,156,155,148,152,150,150,148,135,131,129,131,114,77,57,38,79,124,129,149,165,168,163,160,159,161,161,159,158,158,157,155,151,147,144,137,132,132,133,131,112,83,63,58,77,145,176,166,165,164,163,162,162,161,160,160,160,159,158,154,148,139,134,130,126,121,118,113,96,78,58,63,59,46,123,172,164,166,164,164,164,162,161,161,160,160,160,149,139,133,126,121,117,113,108,106,97,76,52,55,73,58,67,171,167,167,165,165,165,165,163,162,161,161,160,143,139,127,123,116,114,113,111,112,110,81,53,47,64,61,74,173,167,167,167,166,166,165,165,164,162,160,160,77,123,125,121,117,114,111,110,111,103,76,57,56,43,46,51,136,176,166,167,167,166,165,166,165,163,161,160,29,46,103,127,121,117,110,103,94,81,69,66,63,53,45,40,118,180,167,169,168,167,166,166,165,164,163,162,36,26,31,97,127,115,107,98,90,77,69,64,67,55,69,101,162,173,170,170,170,169,168,167,166,166,164,163,31,30,25,28,95,103,90,80,76,61,47,58,60,61,160,179,172,172,172,171,170,169,168,167,167,165,165,164,27,26,24,20,33,66,65,69,59,35,35,46,70,147,179,169,172,172,172,171,170,169,169,168,167,166,165,164,23,21,20,23,18,7,26,146,120,53,77,110,163,178,172,173,173,173,173,171,171,171,170,168,168,167,166,165,13,17,19,23,20,15,131,175,171,166,171,179,175,173,175,174,173,174,173,173,172,172,172,170,169,168,167,166,43,17,15,27,17,122,176,164,169,173,173,172,174,175,175,175,174,175,174,173,173,172,172,170,170,169,167,167,34,39,24,14,53,173,162,167,169,170,172,173,174,175,175,175,174,174,174,173,173,171,171,170,170,168,167,166,9,26,25,7,76,175,162,167,168,170,172,172,173,173,172,174,174,173,173,173,172,171,171,170,168,167,167,167
23,171,174,178,180,180,182,183,184,184,186,187,186,186,185,185,186,187,187,187,187,186,187,187,186,187,185,186,185,174,176,180,181,182,184,184,186,187,186,186,185,186,187,188,189,190,189,191,187,187,188,188,187,188,187,187,187,177,179,180,184,185,186,186,187,190,188,188,189,190,187,187,184,174,178,190,194,190,191,191,191,191,190,189,188,178,180,184,185,186,188,189,190,190,192,194,192,188,201,214,194,172,156,169,156,181,196,194,194,193,193,192,189,179,182,185,187,189,190,192,193,192,194,195,192,205,216,202,177,150,148,130,105,183,198,195,196,195,194,194,193,181,184,187,188,191,193,193,193,193,194,196,210,209,168,160,124,137,143,141,177,198,195,197,196,197,197,197,197,183,186,188,190,192,194,194,195,196,194,196,204,181,126,121,165,205,203,206,203,197,199,199,198,198,199,199,198,186,188,191,193,193,195,196,196,198,197,198,194,166,135,128,218,197,197,190,191,202,199,201,202,202,200,200,200,187,189,192,194,195,197,198,198,199,199,201,196,166,163,121,197,198,209,194,123,177,206,202,202,203,203,201,201,188,192,194,195,196,199,200,200,201,201,200,202,184,163,146,210,224,215,192,109,140,216,202,204,203,203,202,202,190,194,195,196,199,200,200,201,202,202,200,207,193,201,224,220,202,198,184,93,109,164,169,209,203,203,202,202,190,193,196,197,200,200,200,202,203,202,201,200,205,217,210,201,205,193,154,98,52,120,127,210,207,205,205,204,192,194,197,200,200,200,202,203,204,203,199,200,208,215,217,200,199,187,109,81,45,93,86,123,216,208,206,206,193,194,197,200,201,201,203,204,204,207,205,204,206,209,203,194,199,177,99,73,50,72,85,61,129,217,205,207,195,196,198,201,201,202,205,206,204,213,217,198,200,201,201,202,189,139,92,79,52,60,83,85,77,205,210,208,195,197,200,201,203,204,205,207,206,207,211,201,204,206,195,170,128,83,96,85,55,56,81,74,128,218,208,208,196,198,199,201,204,206,206,207,208,199,207,203,199,182,153,113,59,68,99,81,49,68,89,80,194,218,209,209,195,199,201,202,205,206,206,207,210,201,204,199,193,182,134,89,54,89,86,51,47,75,80,140,221,210,212,211,195,198,200,203,205,206,207,208,209,203,201,196,202,185,110,67,56,67,47,47,60,72,86,199,217,212,214,212,195,198,199,202,202,204,206,206,208,202,197,196,205,165,107,83,50,46,51,63,81,69,130,223,212,214,215,214,196,199,200,202,203,205,205,206,207,201,197,203,207,170,118,94,53,50,79,91,97,77,174,225,214,214,214,214,195,198,201,203,205,206,206,206,208,199,195,212,203,171,129,100,71,57,89,99,101,82,191,221,213,214,213,214,195,198,201,203,206,206,207,206,209,199,189,212,201,170,134,103,82,59,89,101,97,95,210,217,214,214,213,213,194,198,201,202,205,206,207,207,209,197,189,205,197,167,130,100,86,64,86,105,84,127,225,213,215,215,215,214,196,199,200,202,205,206,207,207,211,188,186,202,193,161,128,99,85,72,80,97,78,187,221,212,214,214,215,215,197,201,204,205,209,211,213,213,216,185,198,202,181,155,125,99,84,79,76,79,156,227,217,218,217,218,216,212,125,130,136,139,141,144,148,154,150,170,217,205,178,146,118,99,85,83,71,141,206,200,202,209,209,204,202,199,96,97,99,98,99,100,102,102,89,183,228,204,175,137,117,101,84,82,90,110,122,139,147,174,189,177,185,184
10,89,97,112,132,141,148,153,154,156,159,160,162,162,164,164,164,163,162,162,160,161,160,155,154,153,152,149,146,89,98,113,134,142,150,153,156,159,161,163,164,164,165,166,166,166,165,163,165,148,148,160,156,155,153,151,148,90,100,115,135,144,151,155,158,160,163,165,166,167,168,168,168,168,168,165,172,134,101,164,159,158,155,153,151,91,101,117,137,146,152,158,159,161,164,167,168,168,170,171,170,170,170,168,174,138,93,158,162,159,158,155,153,94,102,118,137,147,153,159,161,163,166,169,170,171,172,173,173,173,172,170,176,135,89,155,167,162,161,158,156,94,103,120,139,148,156,162,163,165,168,170,171,173,173,174,175,175,175,173,177,135,88,156,169,165,164,161,159,96,104,121,141,150,158,163,164,165,170,173,173,175,175,176,178,176,176,174,181,142,91,155,172,166,166,163,160,97,105,122,141,151,158,162,164,167,172,175,175,176,177,178,179,179,177,177,183,137,86,156,174,167,166,164,161,97,105,123,142,151,158,163,165,168,173,176,176,178,179,179,180,182,181,182,164,104,82,158,175,169,169,166,163,99,106,124,142,152,159,164,166,169,174,176,178,179,180,180,181,178,167,185,147,76,89,166,176,172,169,167,164,99,107,125,142,152,160,165,168,170,174,178,179,180,182,185,186,174,141,131,121,79,75,174,175,173,171,168,166,100,108,127,143,153,161,166,168,171,176,179,180,181,181,168,175,185,168,123,78,81,69,157,179,173,172,169,167,101,109,128,143,154,162,166,169,173,177,180,182,186,179,136,110,109,138,93,68,84,65,122,188,173,173,171,169,101,110,130,143,154,162,167,170,173,177,181,179,171,184,155,118,46,53,53,94,98,62,112,188,174,174,172,170,102,110,130,144,156,163,168,171,174,177,183,170,128,139,174,132,68,49,53,116,138,73,104,188,175,175,173,171,102,111,132,144,155,162,169,172,175,178,184,178,159,119,157,142,92,49,58,117,157,90,92,187,178,176,174,172,102,111,132,145,156,163,169,172,176,180,183,160,166,135,127,140,97,46,72,139,155,101,76,178,180,176,174,172,102,111,131,145,156,163,169,172,176,179,188,159,131,124,88,130,108,67,104,155,139,97,73,176,181,178,176,173,103,111,132,146,156,163,170,172,176,180,185,164,127,112,93,121,147,99,122,159,113,79,85,186,182,179,176,173,103,112,133,146,156,164,170,173,176,181,182,183,156,114,107,109,144,100,124,146,106,65,100,191,179,179,177,174,102,112,134,145,156,165,171,173,177,181,180,185,169,137,114,100,144,146,143,128,103,57,116,195,180,179,178,176,100,112,133,144,155,164,169,171,175,180,181,176,167,149,130,115,158,176,145,117,97,56,135,193,180,178,176,175,99,110,131,142,154,163,168,170,175,179,183,168,159,151,141,126,151,167,136,107,87,53,155,188,179,177,174,174,98,109,131,141,153,162,168,170,175,179,182,180,160,156,146,126,141,154,125,97,70,64,179,181,179,178,175,173,95,105,128,138,151,159,166,169,173,177,180,184,169,152,139,122,122,133,110,88,54,107,192,180,179,177,176,174,107,117,137,147,157,165,170,173,177,180,183,185,186,158,133,118,114,124,115,87,55,152,186,177,176,173,171,169,132,136,140,139,134,133,133,131,131,130,130,125,138,167,139,136,127,124,119,82,62,103,108,104,103,102,102,94,101,99,99,99,99,99,100,101,102,100,100,98,109,172,155,149,131,123,106,79,62,88,90,88,87,80,51,33
4,193,193,193,194,194,194,193,193,193,194,192,194,194,194,194,195,195,194,194,193,194,194,193,193,193,192,190,189,195,195,195,194,194,194,195,196,194,195,194,194,194,197,195,196,197,196,195,195,194,195,192,194,194,192,191,192,197,195,196,196,196,195,196,195,197,197,196,194,192,197,201,196,197,199,203,197,195,195,195,195,195,193,192,193,195,197,196,196,198,197,196,198,198,197,196,212,196,164,170,198,182,155,180,205,201,198,194,195,195,195,195,194,196,196,198,199,200,200,198,196,200,195,185,199,230,191,133,186,204,150,107,179,171,185,202,195,196,196,196,195,199,199,199,200,201,200,200,196,211,221,203,142,194,222,135,179,220,167,110,176,154,105,175,207,196,198,198,196,200,200,200,200,200,201,200,202,209,214,208,151,162,215,121,163,231,161,135,206,170,107,102,205,199,199,198,199,200,201,201,202,201,203,197,215,203,192,214,137,139,207,134,125,209,129,124,206,180,117,94,205,200,201,199,200,200,201,202,203,202,200,201,220,179,145,203,151,118,203,182,154,168,154,180,217,199,124,123,214,199,202,200,201,200,201,202,204,204,200,211,213,179,137,171,155,103,147,175,185,176,195,204,203,178,143,118,206,203,202,202,201,200,201,202,204,202,205,217,204,193,159,131,105,91,118,114,156,164,173,181,180,154,172,97,169,213,201,203,202,202,202,202,204,204,211,213,184,158,146,125,96,92,132,89,108,132,131,154,140,160,180,115,126,217,200,204,203,202,203,203,205,204,214,215,178,140,118,115,103,106,132,111,142,147,131,97,141,211,188,147,96,196,208,204,207,202,202,203,205,203,220,228,195,155,117,96,95,117,117,134,176,180,145,133,169,213,201,181,103,146,219,203,208,201,201,202,205,203,223,229,204,162,117,98,94,123,127,174,179,179,173,204,203,191,212,181,113,108,217,206,207,202,201,201,203,202,225,229,214,168,115,109,100,110,139,172,174,195,209,202,205,193,181,158,121,94,201,208,207,202,201,203,203,203,229,225,220,170,118,129,121,111,148,168,196,206,203,200,192,180,149,130,115,98,200,207,206,201,201,203,204,208,226,223,209,168,151,145,123,158,190,203,216,209,200,189,177,159,134,108,86,165,212,205,206,202,202,204,204,207,226,223,212,187,171,153,124,179,216,211,217,209,193,178,163,144,120,84,134,213,206,208,207,202,202,204,204,200,227,222,219,204,174,168,142,169,217,211,213,201,174,164,151,132,99,102,205,210,209,208,207,201,202,203,206,195,217,222,224,211,186,172,158,168,215,210,203,186,163,151,133,116,86,172,215,208,210,208,207,206,206,207,211,202,206,222,214,196,187,173,161,171,202,199,186,172,151,139,122,87,125,219,210,210,210,211,210,140,143,145,152,143,188,233,207,189,184,180,166,173,187,185,169,153,137,131,109,89,190,215,212,214,214,208,205,94,95,95,101,80,168,231,203,196,196,185,169,174,186,180,166,138,124,118,94,101,130,130,129,127,131,157,193,104,105,104,109,90,170,231,205,201,200,186,169,174,189,187,164,121,110,101,92,100,90,87,100,152,172,185,201,104,104,103,108,89,168,237,208,202,201,199,173,165,186,181,142,107,102,93,101,104,119,182,206,201,225,210,179,105,106,105,109,91,166,236,208,202,209,212,175,151,181,164,122,102,90,86,141,186,206,224,208,163,167,205,201,103,105,104,108,94,167,229,200,196,208,212,173,147,175,156,113,93,84,160,222,226,207,189,175,162,137,160,192
2,174,173,175,174,174,175,175,174,174,173,173,173,173,173,171,171,171,170,169,168,168,168,165,106,64,63,60,62,177,176,177,176,176,177,177,177,176,176,176,177,175,175,174,167,170,172,172,172,172,170,170,129,68,65,56,64,179,179,180,179,180,180,179,180,180,180,180,179,179,179,164,122,124,153,149,172,175,173,173,145,72,53,44,62,182,182,183,183,183,183,184,183,183,181,184,185,178,151,114,88,74,100,91,142,172,175,175,160,84,41,44,67,185,185,186,186,186,186,187,186,185,191,196,181,121,88,73,67,64,74,69,77,148,179,177,175,106,39,40,59,188,188,189,189,188,188,187,187,190,199,183,133,78,64,60,56,52,59,64,67,145,181,180,180,133,104,82,57,190,190,191,192,191,191,190,187,197,201,134,81,58,52,57,54,49,56,62,88,166,184,182,182,157,122,160,148,193,192,192,193,193,193,192,188,206,184,107,68,57,50,52,58,70,97,131,165,185,186,185,185,145,130,190,171,195,195,195,194,194,195,193,196,207,157,94,65,68,60,64,79,141,183,189,190,188,187,186,188,154,151,181,133,196,197,196,197,196,196,196,208,194,137,83,62,65,63,92,158,191,193,192,192,191,190,189,188,177,161,130,124,198,198,198,198,199,197,201,215,185,132,91,72,61,68,141,199,196,195,194,194,193,192,191,190,188,177,136,172,201,200,199,200,201,199,212,219,174,122,90,81,67,72,165,200,198,196,196,196,194,193,193,193,191,185,176,170,202,201,201,202,201,200,223,210,161,110,84,79,74,93,190,201,200,198,197,196,195,194,195,194,194,189,186,187,202,202,202,203,199,205,226,197,153,107,80,73,75,117,202,202,201,200,199,198,198,197,197,196,195,193,186,169,204,204,204,203,197,218,221,185,142,101,80,74,74,127,205,202,202,201,201,200,200,198,198,198,197,196,195,164,207,206,206,202,204,227,210,173,131,95,79,75,71,144,208,203,202,202,202,202,202,200,199,197,198,198,196,193,206,206,207,197,214,228,201,162,121,92,74,67,67,121,200,206,205,204,204,203,198,186,175,166,162,177,197,197,207,208,207,198,225,222,192,152,114,90,67,65,73,80,133,205,209,204,193,176,162,162,156,145,130,113,179,199,208,209,201,211,229,216,181,141,107,86,59,66,78,83,87,145,173,161,154,161,160,152,137,125,131,136,183,200,209,207,200,227,227,207,168,132,101,80,58,80,89,98,101,102,114,136,156,158,140,114,118,164,196,201,202,201,211,204,217,231,222,197,160,126,97,78,66,92,104,110,110,109,117,132,135,123,114,125,183,206,205,204,203,202,203,213,228,223,213,189,150,114,91,79,78,100,113,114,112,105,104,108,116,149,184,201,207,207,207,206,205,203,202,218,224,217,205,175,136,104,89,80,92,109,117,112,102,94,93,134,190,209,210,209,208,208,207,207,206,206,212,217,215,201,180,148,116,96,88,84,98,108,111,99,93,117,164,206,216,213,211,211,211,210,208,207,206,206,210,210,198,177,156,131,106,93,87,90,97,103,100,91,138,201,214,215,215,214,212,212,212,210,209,208,207,206,208,198,176,153,140,116,98,93,92,93,92,92,102,152,209,217,217,215,215,215,214,214,213,211,211,210,209,208,201,188,158,126,113,95,91,94,93,92,97,135,188,216,217,217,217,216,216,216,215,215,215,214,213,211,210,203,195,177,142,108,89,86,91,93,89,126,176,213,220,218,218,218,217,217,217,216,216,216,215,215,214,213,211,185
22,123,125,127,130,134,136,138,141,142,143,142,148,148,148,146,144,150,148,151,152,150,151,151,151,150,150,150,149,125,127,131,133,135,138,141,143,147,148,100,134,154,150,159,98,136,157,141,142,156,154,152,153,153,153,152,151,126,129,132,135,138,141,144,145,151,142,78,126,158,156,166,83,126,167,136,90,156,156,155,155,156,156,155,155,128,131,135,137,141,144,147,146,156,140,64,129,159,163,164,90,135,170,140,79,152,160,157,157,158,159,158,157,131,135,136,139,143,146,149,149,160,142,66,131,162,167,157,92,143,172,139,80,152,162,159,160,161,161,161,159,133,136,138,141,144,148,152,151,162,155,71,129,164,169,144,90,148,173,143,89,155,164,162,162,163,162,161,161,134,137,141,144,147,150,155,154,165,165,75,122,167,169,130,89,149,173,137,90,162,166,165,164,164,163,164,164,136,139,142,146,148,153,157,155,168,166,74,120,175,157,115,91,153,174,137,92,165,168,167,167,167,166,167,166,138,142,144,147,150,154,157,158,164,179,99,110,166,142,114,89,160,177,135,94,170,168,167,168,169,168,169,168,140,143,146,148,152,155,158,160,164,173,134,108,94,117,127,92,167,179,128,101,177,167,169,170,170,169,170,170,141,145,147,150,154,157,160,162,166,175,152,133,117,105,108,107,175,173,117,112,180,169,171,172,172,172,171,171,142,146,148,152,155,159,163,161,174,187,164,152,166,148,90,100,168,160,107,127,181,172,173,173,173,174,173,174,144,147,150,153,156,160,163,166,166,142,162,99,155,153,108,64,115,125,82,142,181,173,174,174,174,174,175,174,146,149,153,155,158,162,164,168,171,144,144,74,70,154,139,90,64,86,69,155,181,174,175,176,175,175,175,175,147,150,153,156,159,163,163,173,175,129,132,108,35,98,167,125,76,60,70,170,179,176,176,176,177,178,176,176,148,151,153,158,161,164,165,178,175,135,111,93,65,81,181,154,105,70,70,176,180,178,179,179,179,179,178,178,149,152,155,158,161,166,165,184,180,134,96,87,76,153,183,152,117,89,72,177,181,178,179,181,181,181,181,180,150,153,155,159,161,165,167,186,171,131,106,109,117,190,175,137,109,82,74,180,181,180,180,181,182,182,182,180,151,154,156,160,162,167,168,180,168,129,126,104,143,188,159,128,95,67,96,189,181,183,181,182,183,183,183,182,151,155,159,161,163,168,169,178,164,127,126,107,160,188,145,115,90,62,113,194,181,184,183,184,184,185,184,183,150,154,158,160,164,167,171,175,163,128,140,114,168,185,136,106,82,59,120,195,182,185,185,186,186,185,185,184,150,153,157,160,164,166,170,169,163,135,149,118,158,167,129,101,79,55,135,194,183,186,186,186,186,186,185,185,150,154,157,160,163,166,170,168,163,141,147,119,150,152,117,96,75,59,151,189,183,185,186,186,187,186,185,185,151,155,159,162,163,168,171,171,168,142,131,105,132,132,103,95,74,70,172,186,185,186,186,186,187,186,186,186,152,156,160,162,165,169,169,168,167,138,112,104,135,116,104,99,64,111,191,184,186,186,187,187,187,186,186,186,151,155,159,162,166,169,166,172,175,148,128,121,141,105,114,83,66,167,189,185,186,186,187,188,187,187,186,186,153,157,162,165,168,172,164,170,174,155,145,128,134,102,109,59,118,193,183,184,186,186,187,188,187,187,187,187,128,133,140,145,149,151,152,168,154,143,148,125,126,104,87,60,154,189,184,184,186,187,186,187,188,188,187,185
10,48,83,85,89,94,99,107,117,125,128,131,135,139,143,146,148,152,151,154,155,155,155,155,157,157,157,155,155,53,85,86,90,95,100,109,118,126,130,134,138,143,146,148,151,153,164,153,157,158,157,158,158,158,158,158,156,58,87,86,91,96,100,110,120,128,133,137,142,147,149,152,151,160,195,134,145,163,159,161,160,160,159,159,158,64,87,88,92,96,101,112,123,131,135,140,145,148,151,154,154,166,194,144,128,168,162,164,163,163,162,162,160,69,88,89,93,97,102,114,125,134,135,140,146,151,155,158,157,164,196,167,123,167,165,165,165,165,164,163,162,74,88,90,94,98,104,116,128,133,151,148,145,156,158,160,161,162,203,192,124,162,170,168,167,166,166,165,164,79,89,91,94,98,105,117,128,137,198,146,104,147,161,163,165,164,200,193,129,152,176,170,170,169,169,168,167,83,88,91,95,100,107,119,130,137,168,133,101,97,171,148,140,170,195,201,135,140,179,172,172,171,172,170,169,85,87,91,96,101,107,120,132,140,145,139,117,104,165,119,116,172,198,210,141,126,182,174,175,174,173,173,172,87,89,92,97,101,108,122,133,143,146,151,143,138,176,118,78,165,196,181,133,106,179,178,178,177,176,175,174,89,90,93,97,100,109,124,135,144,148,152,165,151,178,131,77,130,182,129,110,92,172,181,178,179,179,177,176,90,90,93,97,100,110,125,137,146,149,153,162,156,181,151,121,93,117,104,107,88,165,186,181,182,181,179,178,91,91,93,97,101,110,126,138,147,151,155,165,176,147,171,161,135,85,79,97,87,144,193,183,184,183,182,180,92,92,93,96,101,112,126,139,149,152,153,184,190,125,133,197,169,139,97,87,83,112,195,186,187,186,184,184,92,92,93,97,102,113,127,140,150,153,160,179,200,163,85,161,198,165,140,82,72,91,192,190,190,188,187,185,92,92,93,98,101,112,129,142,149,162,203,152,182,155,98,148,211,178,150,88,66,92,192,192,191,191,189,188,93,91,93,98,101,114,130,143,149,170,220,157,134,168,130,199,199,169,149,100,73,72,176,199,192,193,191,190,93,92,94,98,101,115,131,144,152,159,199,175,121,195,180,212,202,165,144,106,79,66,172,202,195,195,192,192,93,93,94,98,101,115,132,144,155,154,182,178,128,198,149,189,205,174,133,103,85,72,181,202,196,197,195,193,93,92,94,98,101,116,133,146,155,155,179,195,166,164,97,205,201,163,129,101,87,80,190,202,198,199,198,196,94,93,93,97,101,117,133,146,156,160,161,208,208,155,131,219,193,158,125,97,89,85,195,203,200,199,198,196,93,93,93,97,101,117,132,148,157,160,163,187,225,214,196,211,183,149,120,99,91,92,202,203,202,200,199,198,93,92,93,97,101,117,133,147,157,160,166,178,222,219,196,183,167,139,118,107,89,109,210,202,203,202,201,199,93,91,91,94,100,117,132,146,155,158,166,168,161,212,175,152,162,149,133,121,86,127,212,200,203,202,200,199,92,90,90,93,99,116,132,147,154,157,170,158,56,197,159,168,174,173,163,135,80,128,212,201,203,203,202,200,91,88,89,92,97,115,132,146,156,157,173,149,24,164,205,185,161,167,155,114,65,59,208,205,204,203,202,200,87,85,86,90,95,112,130,145,154,157,173,126,27,105,172,157,136,138,113,66,25,87,217,203,204,203,202,201,93,89,89,90,95,112,129,144,152,156,168,110,40,66,66,60,52,53,42,27,12,131,217,201,203,203,202,201
15,114,113,114,117,118,119,122,135,148,158,168,178,186,190,191,194,200,205,210,215,219,222,223,226,229,232,233,236,114,113,116,116,116,118,123,136,147,159,169,178,186,191,192,195,200,206,212,216,220,224,225,228,231,233,235,238,113,114,114,116,118,118,123,137,149,161,170,180,188,191,191,195,201,207,213,216,221,224,226,230,232,236,238,240,113,114,114,117,120,119,124,137,150,161,172,180,188,193,193,195,202,210,213,217,222,225,228,232,234,237,238,240,113,113,117,114,115,118,124,139,153,162,173,182,188,193,194,197,203,209,214,218,223,225,229,232,235,238,239,241,115,116,110,129,148,127,128,139,153,164,173,184,191,194,195,199,204,210,216,219,224,227,230,233,236,238,239,242,115,114,112,224,193,165,163,156,151,156,172,180,179,180,188,200,209,214,218,221,223,228,231,234,238,239,240,243,114,112,122,211,172,155,156,152,139,158,158,161,152,154,156,163,177,196,213,224,230,231,231,233,237,239,241,244,114,116,112,140,140,122,129,117,121,150,138,141,135,160,162,155,155,159,169,177,186,212,239,235,237,239,242,245,115,113,115,114,115,115,119,112,118,123,119,115,122,159,156,153,157,160,171,156,138,131,180,248,235,240,244,247,114,114,114,117,117,119,127,142,151,152,155,151,141,143,138,135,128,164,181,168,151,148,111,186,252,238,245,247,113,114,115,115,117,117,126,142,154,170,179,188,194,172,132,127,167,186,185,176,147,167,143,104,210,252,243,248,114,114,115,116,117,118,128,143,155,163,181,203,189,169,146,180,225,169,187,155,187,175,159,133,112,236,250,247,114,113,114,115,117,116,128,144,149,187,232,194,155,146,131,143,207,145,138,197,204,167,197,164,108,138,255,248,112,112,112,112,115,114,126,144,142,227,231,150,138,149,147,121,145,103,138,244,157,167,205,179,138,88,190,255,112,112,111,112,114,114,126,144,142,211,197,135,148,168,174,164,137,106,154,192,119,162,205,188,148,108,104,209,111,110,109,111,113,114,128,144,143,205,185,113,160,175,187,173,132,128,137,140,148,169,177,167,140,110,100,108,110,109,110,112,113,113,126,144,143,207,242,152,147,176,185,162,121,123,135,141,155,161,145,120,117,107,102,104,108,109,109,111,111,112,125,143,145,207,206,234,185,140,129,121,117,131,133,137,146,162,144,106,104,105,104,110,108,109,108,110,110,112,123,141,146,250,207,212,216,166,122,73,82,117,138,143,155,167,138,107,105,106,108,110,104,106,106,108,107,110,124,138,149,188,203,220,205,194,161,99,50,61,93,154,151,146,120,108,110,112,110,108,107,106,104,104,104,108,121,136,150,158,171,187,177,181,160,149,82,70,89,151,167,142,124,122,125,123,116,110,169,163,159,154,156,158,159,162,165,169,174,175,156,150,179,212,126,72,107,107,160,173,158,143,131,123,114,110,145,144,143,146,149,147,145,145,136,135,138,144,147,142,153,228,131,117,124,106,121,136,136,129,118,113,108,106,149,148,148,149,148,148,149,151,145,144,149,149,150,151,144,160,138,154,154,148,146,130,114,111,108,104,101,101,154,152,150,152,152,151,151,153,154,153,155,154,153,155,157,151,156,153,155,157,175,167,140,120,112,105,100,102,156,156,153,153,155,153,154,155,155,155,154,155,154,154,154,155,155,155,153,152,169,177,164,132,125,137,125,106,155,154,152,152,155,156,156,156,156,157,157,155,155,155,154,154,155,155,154,157,143,177,217,156,166,173,153,132
17,107,108,109,112,116,118,118,121,122,122,123,125,126,127,129,131,130,131,131,132,133,133,132,133,132,133,133,132,108,109,111,115,117,118,119,122,122,123,125,126,127,129,129,131,132,132,132,132,133,133,135,135,135,136,136,135,109,111,114,117,119,120,121,123,124,125,127,128,128,131,131,131,133,134,133,133,135,135,135,136,136,137,137,137,111,112,116,117,119,121,123,123,125,127,128,128,130,131,133,133,134,136,136,136,138,136,136,138,137,138,138,138,110,113,116,118,120,122,123,124,126,127,129,130,131,133,133,135,136,136,133,140,137,137,139,138,138,139,139,138,111,113,116,118,121,123,124,125,128,127,130,132,132,132,135,136,135,140,117,94,96,89,143,139,139,140,140,140,112,114,117,119,121,124,125,127,128,130,131,132,132,134,136,137,135,146,141,77,46,67,143,139,140,141,140,140,114,115,118,121,122,124,126,128,131,133,134,134,135,137,136,138,137,146,151,98,39,75,151,140,141,141,140,141,115,116,118,122,123,124,127,129,131,132,133,135,136,134,141,139,139,142,157,118,50,95,153,141,142,141,141,143,115,117,120,123,124,126,130,130,130,132,133,132,138,119,102,144,140,144,157,117,65,125,148,144,144,142,142,143,114,118,121,123,125,127,129,130,132,133,134,136,145,130,84,92,142,157,153,110,69,134,148,145,145,144,144,143,115,118,121,123,126,128,130,131,131,137,126,105,139,147,132,112,89,120,145,112,67,133,150,145,145,145,144,144,116,118,122,124,126,129,132,130,135,160,125,75,117,145,160,146,96,52,107,105,69,133,151,147,145,145,146,145,116,120,123,125,127,130,133,130,146,131,136,107,106,92,131,162,128,62,67,88,63,130,151,147,145,146,147,146,117,120,124,126,128,129,132,130,154,121,92,96,64,31,73,177,146,85,50,65,53,130,152,147,147,147,147,146,119,121,123,126,128,131,133,134,151,111,78,95,71,58,72,173,160,108,51,56,47,127,153,148,148,148,147,147,118,121,124,127,129,132,132,140,156,129,113,102,81,103,89,162,165,119,65,51,48,121,155,147,149,149,148,148,119,121,125,128,129,132,130,151,147,110,104,97,93,113,138,162,145,126,75,46,45,123,155,147,150,150,149,149,120,122,125,127,131,134,132,158,135,107,97,98,106,126,184,160,126,115,73,42,38,125,157,150,150,150,150,150,121,123,124,128,131,134,132,165,138,115,100,100,109,166,176,156,124,103,68,41,39,135,155,151,150,150,150,150,121,123,125,129,130,132,137,169,141,125,102,101,135,182,162,149,115,97,62,38,57,155,150,151,150,150,150,150,120,122,127,130,132,130,144,170,142,133,116,102,155,179,157,147,107,85,59,32,95,160,149,151,151,150,149,149,120,123,127,130,135,132,149,176,145,142,132,111,159,167,149,142,110,73,52,41,138,154,151,153,153,152,151,151,121,124,128,131,134,132,145,180,152,147,140,121,144,160,146,135,104,70,40,79,162,150,152,152,153,153,151,151,121,124,129,132,135,134,140,177,160,142,132,130,134,150,140,143,100,65,37,111,161,149,151,152,152,152,151,152,122,124,129,132,134,137,137,172,156,142,126,129,137,138,139,144,101,63,41,130,159,153,154,154,153,153,153,153,122,125,128,130,134,135,140,171,153,143,127,127,138,136,139,135,92,59,62,154,154,154,154,154,154,154,153,153,122,123,126,130,134,134,143,173,164,144,133,136,143,129,135,122,81,48,105,162,152,154,154,154,154,154,154,153
14,170,173,173,176,178,177,177,178,179,177,175,176,175,172,171,171,170,169,167,166,164,161,159,158,157,155,154,153,172,174,176,176,179,179,180,181,180,179,179,178,177,178,175,171,170,170,170,169,166,163,162,161,159,156,154,153,175,177,178,178,180,181,182,181,182,183,184,183,182,169,175,185,178,171,171,171,167,166,163,161,162,160,156,155,177,179,180,181,182,183,184,185,184,184,172,153,148,111,95,124,148,179,178,174,171,170,167,164,163,162,159,156,178,181,182,184,185,184,185,187,188,169,135,109,77,47,33,58,73,111,144,169,175,172,169,167,164,164,161,158,180,182,183,185,187,186,188,188,181,155,103,54,36,36,33,46,70,80,85,93,177,172,170,169,166,166,163,160,182,183,186,187,188,189,186,176,158,120,46,12,19,24,20,23,31,57,49,49,176,177,172,171,169,166,164,161,183,184,186,189,190,192,181,157,131,66,27,17,10,17,19,23,19,35,40,36,88,173,174,172,171,168,165,163,183,184,188,191,191,193,178,154,94,26,30,23,21,20,19,11,17,18,44,54,41,170,178,173,171,170,166,164,184,188,189,191,192,193,185,160,104,26,23,17,23,28,16,113,117,129,68,30,35,134,189,177,173,171,170,167,187,190,191,194,193,194,186,158,107,30,17,12,26,15,68,205,197,202,176,91,54,58,111,158,177,170,171,169,187,190,192,194,193,195,186,161,96,32,34,24,11,43,182,194,189,188,192,185,93,81,65,111,184,170,171,170,189,191,192,193,197,196,188,167,110,57,40,33,16,142,208,192,194,191,195,132,88,91,61,128,186,173,173,171,189,191,193,194,197,195,187,173,125,72,42,28,23,171,202,196,194,198,174,88,87,78,56,170,182,175,174,172,192,193,196,198,199,190,185,177,129,82,49,21,41,204,201,195,195,198,108,70,83,57,90,192,179,179,175,174,192,195,197,199,200,188,184,172,131,88,45,24,29,145,193,204,207,150,80,63,72,27,135,192,179,179,176,175,191,196,198,199,200,189,185,173,131,87,49,32,29,36,64,136,159,78,84,80,39,74,189,184,183,182,178,176,193,195,198,200,200,186,190,180,128,92,56,32,37,46,50,54,56,60,77,57,62,185,189,185,182,181,180,177,195,198,199,201,199,182,195,176,126,89,60,31,34,44,55,63,58,55,70,47,169,196,186,186,183,180,178,177,195,198,199,202,197,182,195,169,120,89,66,32,34,46,53,61,66,56,31,127,205,189,189,187,185,182,179,178,195,199,200,205,195,184,189,163,118,98,68,34,34,51,60,63,62,40,64,197,194,192,190,188,185,183,182,179,197,199,200,205,191,186,180,149,117,95,67,33,35,56,64,64,52,35,182,200,193,193,192,189,188,183,183,181,197,198,199,205,192,182,168,143,110,88,65,33,35,57,60,57,23,99,213,195,197,193,191,189,189,185,182,180,196,200,201,205,190,177,165,142,105,84,61,34,37,52,55,37,34,191,201,196,197,194,191,190,189,186,184,180,198,200,201,202,193,171,157,133,102,74,54,34,36,48,44,13,149,213,197,198,197,196,194,190,189,186,185,182,197,200,202,202,192,166,158,130,98,68,49,30,33,22,16,134,216,200,202,201,198,196,193,191,190,188,185,183,196,201,201,200,190,166,151,129,97,65,40,24,19,55,162,214,204,204,203,201,198,196,194,192,191,189,186,184,194,199,197,199,179,153,145,128,96,56,34,10,91,212,212,199,201,202,200,199,196,193,193,190,189,187,183,182
1,111,113,114,115,115,117,118,117,117,118,118,118,120,120,120,119,120,120,118,119,119,119,119,118,118,119,118,117,113,116,118,118,119,119,119,120,120,122,121,121,121,123,121,122,122,123,123,121,121,121,121,121,120,119,118,118,117,119,120,121,122,122,122,123,124,124,125,126,125,124,126,125,127,117,117,126,124,124,123,123,122,121,121,120,121,123,123,125,125,125,125,127,127,128,128,128,129,129,101,120,141,113,74,133,127,126,126,126,124,124,123,123,123,126,127,129,129,128,129,129,129,131,132,130,138,139,70,115,145,102,69,132,124,132,129,128,127,126,126,125,126,128,130,131,132,131,132,133,132,133,130,124,147,128,70,124,142,84,85,131,82,118,136,130,130,129,129,128,129,130,131,132,135,135,134,136,135,139,126,89,131,112,73,138,138,73,101,139,70,103,142,132,132,131,131,130,131,132,133,136,138,136,138,138,136,147,123,76,114,109,80,146,140,80,118,141,70,104,145,135,136,134,133,133,133,135,137,139,140,140,139,141,139,149,107,77,112,102,88,140,128,78,131,137,65,108,145,138,138,137,137,136,136,137,139,140,142,143,142,142,141,153,104,85,102,89,75,134,109,75,144,138,70,118,147,142,141,140,139,138,138,139,142,142,143,143,144,145,143,154,96,80,102,97,67,147,105,88,151,126,72,128,147,143,143,143,142,141,140,142,143,144,144,145,145,146,148,157,105,70,102,98,70,150,101,100,152,116,70,139,148,145,144,144,143,142,141,144,145,146,147,148,148,146,149,158,109,59,87,73,61,129,78,122,155,116,77,150,149,148,146,146,145,143,143,144,147,148,149,149,149,148,153,158,112,79,112,124,109,130,112,102,141,107,88,157,149,149,148,149,148,146,145,147,147,148,150,151,150,149,159,155,120,96,82,126,148,143,142,93,93,94,99,161,151,152,150,149,148,148,146,148,148,150,151,152,153,152,165,145,108,85,62,69,96,115,154,136,76,49,117,162,151,153,152,151,150,149,148,150,151,152,153,154,154,155,170,147,108,76,69,72,76,109,165,162,109,44,134,161,154,154,154,154,153,151,149,151,153,155,154,156,153,159,170,142,103,80,80,85,119,139,137,155,124,64,141,161,155,155,154,154,154,154,150,152,153,155,156,157,154,161,168,140,107,80,90,93,144,158,139,121,106,64,112,167,155,157,156,156,155,154,151,152,154,156,157,159,156,163,168,142,111,93,92,115,164,156,132,111,79,52,117,169,157,158,158,158,156,155,153,154,155,157,156,158,158,164,167,142,112,102,91,130,171,158,122,98,70,48,142,167,160,160,160,159,157,155,154,156,156,158,158,158,159,162,164,142,120,110,92,128,171,150,112,88,58,67,160,162,160,161,160,160,160,158,155,156,157,158,159,160,160,161,160,143,125,119,89,131,163,133,101,77,49,116,170,161,162,162,162,163,161,161,155,157,159,158,160,161,162,163,163,147,127,119,89,138,150,124,97,64,61,157,166,163,162,163,163,163,161,161,155,158,160,160,160,161,160,162,167,147,131,109,90,133,124,110,86,51,95,174,164,166,165,165,164,164,162,161,156,157,159,161,161,163,156,162,167,162,139,106,100,124,108,100,77,50,139,172,165,167,167,166,165,164,163,162,155,156,157,159,160,160,156,165,164,161,140,112,111,114,103,92,58,91,170,167,167,167,167,166,166,165,164,163,156,157,159,159,160,156,157,156,144,146,133,110,108,97,93,67,62,152,170,167,167,167,167,166,165,165,164,163
13,155,158,161,163,165,167,170,172,173,176,175,174,175,175,175,176,175,176,176,175,173,173,174,172,171,171,170,169,156,158,162,165,167,170,171,175,175,175,178,177,177,177,177,178,177,177,178,177,174,175,175,174,171,170,172,172,158,161,165,167,169,171,173,176,178,177,178,178,178,179,180,180,178,177,179,178,175,176,176,176,175,174,174,174,160,164,167,169,171,173,176,178,179,179,179,181,182,181,183,182,181,179,177,178,182,180,176,175,177,177,176,175,161,164,168,170,173,175,177,179,179,181,182,183,183,185,179,181,178,183,196,160,114,164,183,181,182,177,178,177,162,165,169,172,174,176,178,179,181,182,184,184,182,170,198,199,135,138,222,164,74,85,180,148,167,183,178,178,165,168,172,175,175,177,179,181,184,185,181,193,190,122,149,218,144,106,211,161,84,30,142,109,71,182,182,180,166,169,172,175,176,177,180,183,185,184,185,229,204,150,82,199,158,99,205,148,75,38,147,126,36,148,191,180,168,170,173,176,179,182,182,185,190,183,208,231,218,166,80,173,168,74,183,160,53,88,187,130,24,119,197,177,168,172,175,177,180,183,186,187,186,188,226,182,210,169,69,137,172,64,188,187,70,62,108,61,13,122,198,180,170,173,177,179,181,183,185,187,182,205,227,188,206,146,58,134,157,56,85,133,52,32,96,89,28,133,198,182,171,175,177,179,181,185,186,183,199,232,203,167,194,120,60,166,133,77,0,0,0,96,172,170,71,145,197,185,174,176,177,182,185,186,189,182,214,237,189,138,164,122,64,174,141,75,0,55,99,151,169,168,92,145,198,185,176,178,179,184,186,186,191,186,225,230,192,146,117,129,44,187,205,72,79,211,193,157,121,108,73,105,201,186,176,178,180,185,188,189,193,190,238,226,201,180,139,92,42,143,163,128,210,204,170,145,111,77,58,64,194,191,177,180,183,186,189,192,190,195,247,225,203,182,165,116,109,111,173,215,214,188,160,131,97,70,51,67,198,190,180,183,185,187,192,193,191,199,247,225,201,188,170,135,116,139,222,223,204,172,140,117,85,68,36,129,204,190,180,184,186,189,193,195,194,197,242,229,205,191,175,143,125,165,220,222,198,163,127,101,74,53,49,190,197,194,181,185,188,191,193,195,195,197,241,232,210,193,175,148,145,188,205,200,179,151,121,90,68,27,91,212,194,198,182,187,189,193,194,196,196,197,240,231,207,192,168,149,169,192,171,170,154,132,108,80,40,47,176,202,196,196,184,187,192,194,195,198,200,195,241,227,215,192,165,160,184,182,155,152,129,107,88,44,65,181,205,198,198,198,186,187,192,195,197,199,200,201,249,231,226,195,177,176,192,171,148,130,107,95,50,64,193,205,200,202,201,201,186,188,192,196,199,200,192,222,255,237,231,193,185,191,182,153,131,102,94,59,55,186,210,202,202,202,202,201,187,188,193,194,200,201,193,239,240,235,227,191,188,184,168,134,105,87,68,45,163,209,204,205,204,204,203,203,187,190,193,196,201,199,200,239,217,213,206,182,178,180,148,111,92,79,40,138,215,205,207,206,205,204,204,203,188,191,194,199,202,194,206,236,206,189,185,165,175,175,122,104,91,51,77,204,209,208,205,207,205,204,203,203,188,193,196,198,205,185,221,235,194,184,178,161,166,145,107,99,72,40,144,215,211,210,206,206,207,206,204,203,190,193,197,200,201,187,242,228,177,174,179,160,146,125,99,86,44,63,190,213,211,211,209,209,208,206,206,204
4,100,101,104,105,106,108,111,115,115,118,119,120,121,123,125,125,127,128,130,131,132,132,132,130,132,133,135,136,99,101,104,106,107,110,112,115,117,118,119,120,122,122,124,127,127,129,130,131,133,133,134,135,135,135,135,137,100,103,106,106,110,111,113,116,117,117,118,121,126,122,120,122,131,129,131,130,132,134,135,137,137,137,137,137,100,103,107,108,110,111,114,115,119,126,121,109,111,141,126,97,90,133,128,136,134,133,136,137,137,136,139,139,101,104,108,111,112,110,111,115,118,130,140,118,62,104,137,88,48,74,101,84,125,137,137,139,138,139,139,140,103,107,108,111,110,113,148,135,109,63,125,119,57,64,123,77,36,44,87,38,72,149,137,139,140,139,139,139,104,107,110,112,106,134,176,147,94,47,99,117,59,41,118,110,32,45,93,52,57,147,137,139,141,141,140,141,104,106,111,114,109,150,138,152,104,53,71,134,76,15,111,127,42,45,119,57,54,152,136,140,143,143,142,143,105,109,111,112,112,162,120,117,131,76,28,132,87,0,64,141,95,65,91,65,65,123,143,140,143,143,143,144,107,109,111,111,118,159,120,98,89,56,3,47,61,0,21,126,106,88,79,84,85,65,138,143,143,144,145,145,108,110,115,110,128,157,127,108,84,62,49,25,56,42,38,91,110,106,90,75,88,82,104,151,142,145,146,147,109,111,116,107,152,155,120,92,83,68,49,54,81,59,71,87,100,91,69,94,127,98,74,148,144,146,147,148,109,111,115,112,165,144,114,87,70,50,45,62,82,72,88,110,89,50,89,146,132,114,67,135,150,147,148,148,110,115,112,123,176,141,115,88,75,56,54,65,76,89,99,118,118,123,119,119,116,107,66,108,156,147,148,147,110,115,112,130,179,144,121,98,72,58,54,69,87,102,107,123,142,140,129,116,96,78,57,70,157,148,148,148,112,115,110,139,184,144,127,106,77,59,61,65,91,111,131,139,143,133,127,110,92,70,44,52,155,149,150,149,114,117,107,146,186,143,131,110,92,74,71,69,102,133,150,148,138,124,119,107,86,65,39,61,158,150,151,150,112,119,108,151,188,153,138,122,108,82,76,94,116,152,156,148,138,122,107,96,76,61,31,109,161,148,152,153,117,120,110,146,189,162,146,132,122,103,88,114,121,146,152,144,136,121,102,82,59,40,50,154,152,150,153,154,117,117,114,135,193,170,154,135,127,114,101,113,126,146,150,139,135,125,101,74,50,25,114,159,150,152,152,153,116,118,117,123,192,176,152,132,122,112,109,115,129,148,148,131,127,124,98,82,40,65,160,150,151,151,152,154,118,118,119,116,189,177,145,137,127,119,119,122,136,142,135,125,114,111,102,77,39,138,157,153,154,152,154,155,117,119,119,117,192,169,144,150,139,131,128,125,132,136,121,115,104,101,94,46,102,162,151,154,153,153,154,156,117,119,117,124,193,157,152,158,146,143,136,125,129,131,118,107,96,85,55,83,158,152,152,154,153,154,155,156,118,120,114,134,191,169,157,152,146,149,141,122,121,123,113,99,84,54,64,158,151,153,153,154,154,155,155,156,116,119,113,143,194,181,152,145,148,155,141,114,111,110,106,89,70,34,130,156,150,153,154,154,155,155,155,156,117,119,112,155,191,181,152,142,150,149,133,111,102,105,99,80,45,65,162,148,151,152,154,154,155,155,155,156,117,121,112,163,192,182,149,140,146,144,127,109,99,110,93,71,32,108,161,151,151,154,156,155,155,155,155,156
1,143,146,148,149,149,151,153,152,152,153,153,153,156,156,156,156,156,156,154,155,155,155,155,154,153,154,153,152,147,151,153,153,155,155,155,156,157,159,158,158,158,160,158,160,159,160,161,158,157,157,158,158,157,155,154,154,152,155,156,157,159,160,160,161,162,163,163,165,164,162,165,163,166,153,152,165,162,162,161,160,159,157,157,156,158,161,160,164,163,164,164,166,167,169,168,168,170,169,128,156,187,146,91,175,166,165,165,164,162,163,161,161,161,165,166,169,169,168,169,170,169,172,174,171,182,184,84,148,193,130,83,173,162,173,169,168,166,165,165,163,165,168,170,173,173,173,173,176,174,175,171,162,195,168,84,163,188,105,107,172,101,154,179,171,170,170,169,169,169,171,172,174,178,178,177,179,178,184,164,112,172,146,89,182,182,89,129,184,85,131,188,174,174,173,172,171,173,174,175,179,182,180,182,182,179,195,161,93,148,141,99,194,186,99,153,187,84,133,192,178,179,176,175,175,176,178,180,183,185,186,183,186,183,198,138,94,145,131,111,185,167,96,173,181,77,139,192,182,183,181,180,179,179,181,184,186,187,189,188,189,187,204,133,106,130,112,91,177,141,92,191,182,84,154,195,188,187,185,184,183,182,184,188,188,190,189,191,192,190,205,122,99,130,123,81,195,135,110,202,164,87,168,195,190,189,189,188,187,185,188,189,191,191,192,192,194,196,209,135,85,131,125,85,200,129,127,202,150,85,183,197,192,191,190,189,188,187,191,193,194,196,196,196,194,199,211,140,68,109,89,71,169,97,159,207,151,95,199,198,196,194,193,192,190,189,191,195,197,197,199,198,197,204,211,145,98,145,163,140,170,145,130,187,138,110,210,198,198,197,197,196,193,193,195,195,197,199,200,200,199,212,207,156,122,101,165,197,189,188,117,118,119,126,215,200,202,200,198,197,196,194,197,197,199,201,203,203,202,221,192,139,106,73,83,122,149,205,180,93,55,153,216,201,204,202,201,199,198,197,199,201,203,204,206,206,206,229,195,139,93,83,88,92,141,221,216,140,47,177,215,205,206,205,205,203,201,198,200,204,206,206,208,204,212,229,189,132,99,99,106,155,183,181,207,163,76,186,215,207,207,205,205,205,205,200,202,204,207,208,210,205,216,225,185,138,99,113,118,191,210,184,158,136,75,144,223,207,210,209,207,206,206,201,202,205,208,209,212,207,219,226,188,143,117,116,150,220,208,174,144,98,58,152,227,210,211,211,212,208,206,204,205,207,209,209,211,211,219,224,187,144,131,115,171,229,211,159,125,84,53,188,224,213,214,213,212,210,207,205,208,208,211,211,211,213,216,219,188,157,142,116,168,230,199,145,110,68,80,214,216,215,215,213,213,213,210,206,209,209,211,212,213,213,215,214,190,164,156,112,171,219,175,130,94,55,151,229,216,216,216,217,218,215,215,206,210,213,212,213,215,216,217,218,195,166,154,111,182,200,162,123,76,71,209,222,219,217,218,218,218,215,215,207,211,214,214,214,216,214,216,224,196,173,140,113,174,162,142,108,57,120,234,219,222,221,220,220,219,217,215,208,210,213,216,215,218,209,217,224,217,184,137,128,162,138,128,95,56,184,231,221,224,224,222,222,220,218,217,207,208,210,213,214,214,207,221,219,215,185,145,143,148,132,117,67,114,228,223,224,224,224,223,223,222,219,218,209,210,212,212,213,208,210,208,191,194,175,142,138,123,117,80,74,203,229,224,224,224,223,223,222,221,219,219
18,153,156,159,161,164,166,169,172,174,175,178,180,181,182,184,184,184,184,185,184,184,185,185,186,186,187,187,187,154,158,160,162,165,167,171,174,177,178,180,181,183,184,184,184,186,186,189,190,185,188,188,187,189,188,189,189,156,158,160,164,167,170,172,175,179,181,182,183,185,186,189,189,187,178,153,170,197,189,188,194,189,191,192,191,157,159,163,165,169,172,173,176,180,180,185,186,187,187,185,183,209,176,135,104,156,159,138,164,199,192,193,193,157,161,165,168,171,174,175,179,181,184,186,188,189,189,155,131,178,158,106,104,81,140,138,99,169,200,194,195,160,163,165,169,173,175,179,181,184,185,187,182,197,207,149,124,161,140,93,95,78,135,158,106,107,205,195,196,163,165,168,172,175,178,182,183,186,187,193,156,137,184,172,149,169,146,127,120,102,108,136,110,93,201,197,197,164,166,170,173,177,181,182,185,187,192,207,171,141,123,178,161,147,170,163,162,153,122,94,89,98,202,199,199,165,168,171,174,177,180,184,187,187,198,200,199,175,125,127,165,125,148,180,173,173,141,89,63,98,206,200,200,166,170,172,176,179,181,185,187,190,198,168,194,174,147,94,125,137,101,151,173,168,135,97,64,98,211,200,202,167,171,174,177,182,185,188,187,191,200,136,133,160,129,77,87,127,86,89,137,159,149,116,69,114,214,200,203,169,172,175,179,182,186,188,190,192,202,156,125,147,100,67,72,102,79,63,90,168,168,133,79,107,216,201,205,169,173,175,180,182,186,188,190,192,206,186,147,136,100,71,63,95,74,52,67,162,187,146,106,76,191,209,204,170,174,178,180,183,186,189,192,193,207,177,136,121,101,74,57,100,81,38,138,191,199,168,121,73,113,216,205,172,175,179,182,185,188,191,194,194,202,196,171,136,106,82,72,84,61,122,208,206,192,164,120,91,97,213,208,174,176,179,182,185,189,192,196,194,205,202,176,139,109,93,87,78,114,200,219,213,193,152,112,88,114,217,206,173,176,181,183,185,189,192,196,195,206,205,182,147,122,109,112,114,176,215,221,199,179,144,101,77,134,220,205,175,178,181,183,187,190,193,196,197,203,206,189,162,143,134,114,124,186,214,215,182,153,125,97,73,160,220,208,174,178,181,184,187,191,194,197,196,201,202,190,170,149,137,122,124,173,216,208,172,145,113,93,77,178,220,211,174,177,182,186,188,191,194,199,199,199,201,193,173,148,143,144,122,161,215,199,159,131,104,87,85,198,216,212,173,177,182,185,187,190,194,195,200,200,197,191,178,157,164,155,122,144,213,181,148,115,97,82,101,214,214,214,173,177,180,183,186,190,194,193,198,200,195,187,180,166,159,161,129,130,201,165,133,105,91,77,121,223,211,214,174,178,181,184,187,189,195,195,197,199,197,188,183,169,157,157,134,116,182,155,114,97,91,74,142,221,210,214,176,180,184,186,187,192,195,196,198,202,200,195,190,171,154,145,125,101,162,134,99,89,90,82,184,217,212,214,176,179,183,186,188,192,194,197,199,201,194,207,189,161,141,124,97,99,138,113,97,93,79,126,220,213,214,214,176,179,182,186,189,192,194,196,200,198,193,211,184,155,136,108,100,103,131,108,98,93,85,185,216,212,214,215,176,180,182,186,190,193,194,197,200,195,200,213,189,165,148,123,110,114,130,100,103,73,128,221,212,213,213,215,175,180,182,185,189,192,194,196,199,192,201,206,195,173,161,126,104,129,120,102,92,71,173,217,210,214,214,214
6,117,119,122,124,127,130,131,134,135,136,138,138,139,141,142,142,143,142,143,143,143,144,144,143,142,143,141,141,117,120,123,126,128,130,132,134,136,137,138,139,140,141,142,143,143,143,144,144,144,144,144,144,143,144,143,142,117,120,123,125,128,130,132,134,136,137,139,139,140,141,142,144,143,144,144,145,144,144,144,144,144,144,143,142,118,121,124,126,129,132,135,136,136,137,139,141,142,143,143,144,144,144,145,145,145,146,146,145,144,143,144,144,118,122,125,128,130,132,134,136,137,138,139,141,142,144,143,144,146,147,147,146,147,146,146,146,146,145,145,145,119,122,126,128,131,133,135,137,138,138,139,142,144,144,143,144,147,146,147,147,147,148,149,148,148,146,145,145,120,123,126,129,130,132,135,136,138,138,139,139,140,142,140,141,141,145,144,140,140,131,130,138,144,147,147,146,120,124,127,127,132,143,146,137,138,144,147,149,152,155,144,147,147,159,156,146,142,128,117,133,135,122,149,146,120,121,122,139,155,160,154,136,123,130,148,153,155,152,143,140,148,145,142,141,134,123,116,123,118,111,150,146,117,128,148,161,159,156,152,142,110,90,107,112,115,117,117,116,111,106,110,109,108,108,113,119,123,142,149,147,142,162,161,153,153,159,161,144,110,78,70,65,67,85,94,103,121,136,140,142,144,146,148,149,150,149,147,147,163,157,153,156,160,159,144,113,99,83,76,77,70,78,129,153,151,149,149,150,150,150,149,148,148,147,148,148,160,157,158,156,156,147,135,116,93,80,75,83,86,78,82,104,149,151,149,150,149,149,150,149,149,149,148,148,160,160,158,156,156,156,161,140,94,81,69,70,85,88,87,64,89,151,150,150,150,150,149,150,149,149,148,148,156,157,156,155,156,164,160,126,94,84,86,82,76,77,87,85,59,98,156,149,151,150,149,149,149,149,148,147,154,155,152,151,159,165,139,111,96,90,88,90,88,69,67,72,74,76,151,151,151,150,150,149,149,150,149,148,148,148,146,147,152,154,135,109,88,81,87,95,102,85,74,67,63,99,150,147,148,147,146,146,146,146,146,146,149,149,147,146,150,151,144,113,86,68,66,77,105,102,88,75,69,88,97,94,92,93,91,91,90,90,88,88,151,152,153,151,157,156,142,105,85,87,84,80,73,82,89,83,82,72,69,70,71,71,70,68,67,68,66,66,150,149,147,146,155,148,131,102,90,93,92,88,82,75,71,77,79,76,77,77,77,77,77,75,75,75,74,73,143,137,132,137,143,133,121,105,97,96,95,87,80,75,77,81,81,80,78,76,75,75,75,76,75,74,73,72,131,127,123,131,130,118,106,98,90,85,91,89,87,84,81,82,81,81,78,78,77,75,76,76,76,75,75,74,119,117,110,107,104,94,85,80,77,71,73,78,82,83,80,78,79,78,77,77,76,75,75,76,75,74,74,75,100,94,85,81,80,81,82,81,81,81,80,79,81,80,80,80,79,79,78,78,76,76,76,76,75,74,74,70,75,78,80,80,81,82,82,83,82,82,82,81,82,81,80,80,78,78,78,78,76,75,76,75,75,74,68,86,78,82,82,82,82,81,81,81,81,81,81,80,80,80,80,78,77,78,77,77,76,75,76,75,77,69,77,149,82,82,82,83,83,82,82,81,81,81,81,80,80,80,80,78,78,78,78,77,77,77,76,78,77,67,138,152,82,82,82,82,81,81,81,80,80,80,80,81,80,80,80,79,78,77,77,78,77,76,76,81,70,116,160,131
1,157,160,164,166,169,169,170,172,173,173,174,173,175,177,174,174,175,174,175,175,176,175,176,174,174,174,173,172,161,164,166,169,172,173,174,175,175,177,177,181,169,164,180,176,178,178,178,177,178,178,178,178,177,176,175,175,164,168,170,172,174,176,176,177,179,180,174,192,177,112,185,186,182,182,181,180,181,182,182,182,181,179,178,178,167,170,173,176,178,179,180,181,179,199,179,147,189,101,155,163,186,185,185,184,185,185,185,185,183,183,182,181,169,173,175,179,181,182,183,186,181,207,181,126,190,103,112,120,155,195,186,187,188,187,188,186,185,187,186,184,171,175,178,182,184,184,186,188,185,208,188,128,193,129,117,142,116,200,188,189,190,190,191,189,188,187,187,187,173,177,182,184,185,189,189,193,182,198,208,126,187,157,109,154,104,182,194,193,193,192,193,193,192,191,189,189,177,181,184,187,188,191,190,200,192,135,214,137,162,168,113,168,130,156,204,194,195,196,196,195,194,194,193,191,181,184,187,190,192,195,192,208,196,111,208,148,140,177,129,181,168,129,200,196,197,198,196,196,196,195,194,193,184,187,189,191,194,197,193,207,199,117,202,159,142,196,150,155,192,124,181,206,200,201,199,198,198,197,196,194,185,188,190,192,195,198,196,210,212,126,202,193,139,199,161,133,206,150,151,212,200,203,203,202,201,200,199,197,187,190,193,194,198,200,198,213,212,125,189,207,128,164,166,118,211,177,131,205,205,205,204,204,203,202,201,200,189,192,195,198,201,203,200,212,214,146,150,200,100,141,179,106,188,190,127,187,212,206,206,206,205,206,203,202,192,194,196,200,202,204,203,213,222,164,112,194,158,165,170,177,196,157,129,160,218,206,208,207,207,206,205,203,193,195,198,201,203,205,205,213,223,150,121,176,212,171,156,213,190,142,142,119,211,210,210,209,208,207,206,205,192,196,199,202,204,208,207,214,217,178,191,145,182,175,178,220,167,140,151,110,177,220,211,211,209,209,208,208,193,197,200,202,205,209,207,215,221,200,191,143,147,191,224,215,198,167,130,111,138,222,213,213,211,210,210,209,194,199,202,204,206,210,208,221,222,180,171,147,170,218,220,179,191,212,182,131,107,217,216,215,213,213,212,212,195,199,203,207,208,210,208,224,231,174,153,167,193,174,158,120,174,234,218,183,120,192,222,215,216,215,215,212,195,199,203,205,209,209,209,221,244,191,149,151,138,135,129,184,203,213,214,178,135,145,227,216,218,216,215,213,195,199,201,203,207,209,208,213,241,214,148,158,165,185,219,237,228,211,198,165,112,141,228,215,217,216,216,214,195,199,202,204,208,209,209,212,236,235,166,165,179,188,235,236,232,212,185,159,100,149,229,214,216,217,216,214,196,200,202,206,208,209,211,210,233,249,193,170,191,178,229,246,237,211,177,150,97,163,228,216,219,218,216,215,197,200,202,205,207,209,211,210,224,246,213,180,212,170,216,248,237,205,167,137,95,178,229,218,220,218,216,217,197,200,202,204,207,209,211,212,214,235,226,197,218,177,194,246,225,192,161,129,93,186,228,218,220,218,216,215,197,203,206,209,212,215,216,220,218,226,231,216,208,189,166,235,220,188,153,122,93,200,231,222,220,218,219,219,126,131,135,141,145,148,151,156,152,186,240,224,200,184,155,199,212,175,139,114,104,199,209,212,222,226,220,217,106,104,105,107,106,107,109,111,101,137,233,209,189,173,149,170,193,160,128,112,110,122,161,216,212,208,227,215
2,201,201,202,202,202,202,201,201,201,199,197,197,196,196,194,195,195,191,190,190,189,187,187,184,183,181,180,180,203,203,203,203,203,203,202,202,202,201,201,199,198,197,195,196,197,193,194,193,191,188,187,186,186,183,181,179,203,203,204,204,204,203,204,203,202,202,201,201,201,200,197,198,198,197,196,194,193,190,188,187,186,185,182,179,205,205,206,206,205,205,206,204,203,204,204,201,198,195,196,193,192,198,198,197,196,192,190,188,186,185,184,181,207,208,208,207,206,207,206,206,205,205,203,211,205,189,191,187,169,173,177,182,184,188,192,191,187,186,186,183,209,210,209,208,208,208,208,208,208,204,215,238,230,224,224,222,204,176,150,136,135,170,182,186,189,187,186,185,209,210,209,209,209,208,209,209,209,199,202,215,208,200,204,211,206,201,177,139,144,172,143,153,196,187,186,186,210,211,211,211,210,210,211,207,212,224,213,217,221,208,191,178,155,165,184,178,195,156,116,170,195,189,188,186,211,213,213,212,212,212,210,213,238,227,217,216,219,215,206,199,167,172,176,155,161,132,151,199,192,192,190,187,212,213,214,214,213,213,210,235,223,179,165,179,191,180,179,212,176,164,177,122,143,164,193,197,193,191,191,189,214,214,215,215,214,213,231,234,192,194,209,212,212,195,192,202,147,123,143,156,201,202,200,201,198,193,191,192,214,214,215,215,215,217,240,214,212,233,236,210,183,170,153,148,161,194,196,204,203,205,195,174,164,185,196,191,215,215,215,216,215,224,227,226,225,209,183,160,128,114,92,139,218,207,209,204,206,173,126,110,108,120,184,195,216,216,216,216,216,225,230,237,203,160,130,107,99,94,84,96,209,208,204,212,165,105,112,122,126,103,167,199,215,216,217,215,213,232,243,215,173,132,104,93,93,89,91,78,136,221,216,187,109,116,128,133,125,132,189,195,215,216,218,213,210,249,237,185,138,116,100,89,92,92,92,91,85,139,196,140,106,134,134,122,148,188,196,194,217,217,219,212,220,254,214,161,127,119,95,88,94,92,92,95,98,80,88,115,118,130,121,146,200,199,195,194,218,218,219,210,221,236,191,148,127,110,88,92,95,100,102,105,110,106,88,116,123,119,123,191,203,199,197,194,217,217,218,210,217,227,185,145,120,102,89,93,101,109,111,117,120,123,106,118,126,117,152,208,201,200,199,196,214,215,218,204,220,229,185,147,119,107,91,95,105,117,123,127,131,135,122,113,128,116,181,207,201,201,198,195,216,216,220,196,221,222,181,150,127,114,98,95,109,125,135,138,141,140,130,116,120,162,203,202,200,198,193,194,217,217,223,199,219,215,177,150,128,120,109,97,114,131,138,140,144,138,124,123,173,205,203,202,199,199,217,234,216,217,221,199,214,213,181,154,134,127,116,99,114,132,136,138,137,134,116,159,213,203,204,201,220,224,254,255,215,216,221,199,211,208,175,153,140,131,117,102,118,126,129,130,128,118,139,200,207,205,200,244,255,242,229,255,220,221,224,204,208,205,171,154,138,128,119,109,121,121,122,123,118,142,200,213,212,201,233,255,255,255,233,230,189,190,194,182,206,203,172,152,133,126,122,117,121,120,118,121,144,186,195,194,183,227,255,255,255,247,255,218,118,119,116,131,219,197,167,143,131,128,126,120,114,120,124,111,114,114,116,102,179,255,255,255,250,233,254,251,119,123,114,162,219,191,166,139,130,128,126,122,113,120,119,110,110,113,102,152,255,255,255,255,243,222,248,250
13,140,143,148,155,161,165,168,170,173,176,180,182,184,187,188,190,192,193,193,193,194,195,194,194,195,194,192,193,141,145,151,157,164,167,171,173,175,177,181,184,187,189,191,191,191,193,196,196,196,196,196,196,197,195,195,195,143,147,153,160,164,169,172,175,178,180,184,187,188,190,195,206,206,169,155,194,194,200,198,199,199,197,196,196,146,149,155,162,167,171,174,178,181,183,186,189,191,193,198,228,217,161,107,111,143,160,198,199,199,198,199,198,146,151,156,162,168,172,175,179,182,186,187,193,195,160,158,174,213,159,102,83,143,111,133,206,200,200,200,199,148,152,158,163,169,172,175,180,183,186,186,221,213,173,133,130,195,194,125,93,151,107,106,207,202,201,201,200,150,154,159,165,171,175,178,181,187,188,144,182,231,207,161,93,137,211,135,92,161,112,122,210,204,204,202,202,150,154,160,167,173,177,180,181,215,204,149,102,192,227,181,111,68,156,129,91,188,121,150,211,205,205,205,204,151,156,162,169,174,178,179,208,216,219,183,116,110,225,177,116,46,63,77,84,178,118,188,209,206,206,206,206,152,157,165,171,174,179,195,209,175,216,199,134,69,193,165,107,48,47,84,122,139,100,150,214,208,208,208,207,153,159,168,173,176,181,221,207,161,188,176,121,63,160,162,117,48,75,142,154,132,116,105,199,211,209,209,208,156,162,171,176,178,193,219,188,150,171,150,104,48,133,184,131,67,161,186,161,119,100,102,148,217,210,209,209,158,165,174,179,180,211,214,185,145,144,137,102,38,94,186,118,126,205,184,155,120,99,94,127,220,213,211,212,159,167,177,181,181,218,226,199,162,119,127,94,48,87,186,163,200,196,171,140,114,94,76,166,218,213,215,214,161,171,180,186,185,225,230,204,172,124,104,101,133,183,216,219,211,185,156,128,108,83,90,210,215,215,216,216,167,175,183,189,190,233,238,212,173,152,151,155,177,204,216,213,202,173,144,122,98,70,138,223,215,216,216,216,169,178,186,192,195,235,235,223,183,175,171,154,196,199,216,207,187,162,138,114,89,63,180,222,217,218,217,216,172,182,189,195,198,227,233,231,200,188,176,163,204,206,205,195,170,147,124,104,75,93,220,221,220,220,218,218,175,184,193,199,201,214,233,230,210,193,176,171,195,211,193,174,152,133,118,92,73,187,227,222,222,221,222,222,178,186,196,201,204,206,228,222,217,199,185,176,183,203,187,161,140,121,109,78,166,232,224,224,224,224,224,223,181,189,197,202,207,204,221,223,218,211,202,183,176,194,180,148,124,113,90,133,232,228,227,228,227,225,228,229,183,193,201,206,210,205,213,226,217,213,205,180,171,180,166,134,108,102,98,216,232,229,230,230,229,230,206,151,185,196,204,209,211,209,212,217,190,192,192,176,165,170,151,130,106,85,168,237,232,232,232,233,232,157,73,50,187,197,205,209,213,212,214,220,187,199,202,192,166,162,144,133,104,89,214,234,234,235,240,234,144,65,47,35,189,197,204,208,212,211,209,232,200,211,211,195,166,153,143,133,101,101,228,234,236,238,196,117,59,58,60,27,189,198,206,210,213,216,209,235,219,229,219,197,171,153,143,133,97,108,235,234,242,174,75,47,34,56,66,40,191,201,208,212,215,220,191,232,227,227,214,191,172,156,144,131,94,100,233,240,214,93,62,58,31,35,59,53,193,203,209,213,217,220,119,219,224,220,206,186,175,158,148,122,93,68,230,240,126,72,58,57,39,19,47,58
24,157,158,160,160,160,162,164,164,163,164,165,164,164,164,164,163,162,160,159,157,157,156,154,152,152,149,148,147,161,163,164,165,166,167,167,167,168,168,168,167,167,167,167,166,166,165,163,162,161,159,156,158,157,152,152,151,165,166,167,168,170,170,170,172,173,172,172,170,169,171,172,170,169,168,167,166,165,164,161,147,149,160,157,155,168,169,171,171,173,174,176,176,175,175,174,174,175,174,174,174,173,172,170,169,168,166,170,136,81,161,160,157,171,173,175,176,176,176,176,176,177,179,180,177,177,176,175,175,175,175,173,172,171,167,177,141,60,153,164,160,174,176,176,177,178,180,181,181,182,177,174,184,178,179,179,179,178,176,176,175,175,170,184,139,63,157,168,164,177,178,179,180,182,184,184,183,186,171,95,164,190,183,185,184,183,181,179,177,178,175,189,124,70,168,169,167,181,182,184,185,186,185,185,186,191,159,85,97,197,185,188,187,186,184,184,183,179,182,195,121,81,179,171,169,184,185,187,187,187,188,188,187,193,174,119,64,179,192,187,189,189,187,185,185,178,191,184,100,93,186,172,172,187,188,189,188,190,191,191,191,192,190,144,59,145,202,187,190,191,192,186,188,187,207,167,68,112,190,174,176,190,190,192,193,192,192,193,193,192,196,165,83,98,207,191,195,192,186,196,184,134,143,169,60,148,188,179,179,191,193,194,194,194,194,195,195,194,197,180,121,62,188,201,193,161,125,148,163,111,47,98,77,179,186,183,180,194,194,195,197,197,197,197,198,197,200,189,138,53,135,214,175,163,143,116,110,106,105,50,74,194,185,185,183,195,196,198,199,199,200,200,200,200,201,197,155,98,86,207,162,178,140,131,124,135,142,35,93,205,184,185,184,198,199,200,200,201,202,202,202,202,201,203,178,145,60,131,127,179,162,113,119,121,119,53,100,206,186,187,185,199,200,202,203,202,203,204,204,203,202,207,194,148,95,102,107,148,180,94,31,93,155,90,55,197,192,191,188,200,201,202,204,205,204,205,205,206,207,209,198,177,168,109,75,101,164,83,14,58,159,122,44,132,205,189,189,203,204,206,207,208,207,207,208,208,208,210,200,190,165,85,48,87,138,61,12,89,180,169,87,50,197,192,192,205,206,208,209,210,209,210,210,210,211,210,208,191,151,114,92,94,135,83,45,183,189,163,93,40,185,196,193,206,208,210,211,211,212,212,212,213,213,213,213,193,178,163,109,90,137,86,141,204,173,144,61,51,200,194,194,206,208,210,211,211,212,214,214,213,213,213,215,191,181,183,122,104,74,128,208,200,157,129,49,74,213,193,195,204,206,210,209,211,213,212,211,213,213,213,216,194,173,185,146,121,71,180,203,186,152,117,43,102,215,195,195,206,208,209,210,212,213,212,212,213,214,214,217,198,171,165,156,136,79,157,197,175,139,103,28,124,212,194,194,209,208,210,212,213,213,213,214,215,216,215,219,205,164,166,164,155,102,138,199,172,124,80,22,163,210,198,197,208,209,211,211,213,214,215,216,215,216,218,218,216,178,172,161,166,122,104,183,150,99,45,38,203,201,199,198,218,218,219,219,219,220,221,221,220,220,221,220,225,193,178,169,164,124,78,142,115,70,12,78,219,197,198,200,161,166,172,177,183,187,191,196,199,203,208,210,215,196,181,166,146,117,90,96,110,57,12,167,219,207,208,195,79,79,77,80,81,84,87,92,93,94,98,102,95,150,194,161,147,141,110,94,115,43,33,144,148,146,126,76
13,135,140,142,143,146,148,150,152,152,153,154,155,155,154,154,155,154,152,152,152,150,148,147,147,146,143,143,140,138,141,142,145,147,149,151,152,153,155,156,156,157,157,157,157,156,156,155,153,151,151,150,150,148,146,144,142,139,141,145,146,147,151,153,154,156,158,158,158,158,158,157,158,158,158,158,157,155,154,153,152,150,148,147,146,140,143,147,147,148,151,154,156,158,159,159,161,161,161,161,158,159,162,161,158,157,157,155,154,152,151,149,148,141,144,146,148,150,152,156,158,159,160,160,163,164,155,159,166,161,157,162,163,157,158,157,156,155,153,151,148,142,145,148,148,152,155,157,159,161,162,162,164,152,113,82,142,155,107,79,133,167,158,158,157,157,154,153,150,143,146,149,149,153,156,158,160,161,163,162,169,162,124,90,66,113,106,54,51,167,161,161,159,158,157,154,151,144,148,149,151,155,158,160,161,162,165,165,169,181,138,113,49,79,117,77,25,141,169,163,162,160,158,155,154,145,149,150,151,155,158,161,163,164,166,167,165,177,143,102,49,54,106,75,18,124,173,162,163,163,161,158,157,145,150,152,153,156,159,161,165,166,168,172,174,168,141,96,55,34,73,56,12,121,174,162,163,162,160,159,157,146,151,152,155,157,160,164,166,167,162,130,145,144,137,98,68,33,74,64,17,141,174,165,165,163,161,160,158,146,150,153,156,158,163,165,166,170,143,84,64,72,121,142,96,45,81,83,21,138,177,166,166,165,163,161,160,147,152,154,157,159,162,167,167,181,138,92,78,43,102,169,112,47,61,75,14,72,182,166,166,166,165,163,162,148,153,155,157,161,163,164,151,110,127,113,99,55,20,109,74,38,52,48,37,28,139,178,165,166,165,164,162,148,153,156,158,161,159,172,135,70,71,132,103,83,14,0,1,19,58,57,64,49,64,180,169,168,165,165,164,149,154,156,158,159,175,177,115,89,63,102,112,82,53,0,14,33,41,89,87,75,29,144,177,167,167,166,164,150,153,158,160,163,178,134,122,107,88,61,108,89,69,8,15,86,96,102,89,75,27,119,182,167,168,166,165,150,155,159,160,163,184,134,106,104,85,61,79,82,45,11,20,114,133,126,79,61,27,136,181,167,167,165,165,151,155,158,161,167,174,134,85,75,73,46,16,49,36,24,42,132,129,120,88,48,31,165,176,171,168,167,166,152,155,160,161,165,167,155,127,81,45,19,0,35,62,43,96,154,125,111,81,30,55,183,173,174,171,168,166,152,157,160,160,163,167,164,141,107,81,64,60,62,73,84,157,150,115,93,76,20,90,190,174,174,171,169,168,153,159,159,161,165,164,159,148,123,104,78,76,96,139,152,155,133,107,83,66,16,127,187,174,175,172,169,168,154,158,159,163,165,167,155,135,118,97,76,78,90,154,150,137,118,95,75,49,20,160,182,175,175,173,170,167,154,159,160,163,166,170,147,123,119,98,83,86,86,136,143,133,107,82,63,33,39,184,177,176,175,173,171,169,155,159,160,164,165,172,160,130,120,103,95,90,88,130,139,127,99,67,53,8,92,193,176,176,175,174,171,170,154,158,158,162,165,170,175,139,118,114,99,83,78,110,125,110,80,51,30,19,167,183,178,176,175,172,171,170,153,158,160,162,165,168,174,167,129,112,93,83,75,91,109,97,67,48,8,87,194,177,179,176,174,172,172,173,151,156,158,160,165,168,170,174,152,115,94,80,78,84,100,93,66,46,13,144,186,177,176,175,173,172,170,169
22,149,150,150,149,150,152,151,150,150,151,151,151,149,148,146,144,146,146,143,141,139,139,137,135,132,130,127,124,153,154,154,154,155,156,156,154,154,155,161,156,153,152,154,154,148,149,145,145,145,143,140,138,136,133,131,128,157,158,158,159,159,159,158,158,158,160,123,151,160,156,143,130,155,152,150,150,147,146,144,141,142,140,134,132,160,161,162,162,163,163,163,163,161,159,92,109,170,160,157,73,142,159,154,153,152,150,146,149,110,122,142,135,163,164,166,166,165,166,166,166,164,157,117,72,170,161,167,73,115,167,155,156,155,152,150,159,81,73,152,136,166,166,170,171,168,168,171,168,167,165,139,54,155,167,167,73,89,174,158,159,156,153,158,153,61,86,155,142,169,171,173,174,172,172,174,172,173,166,143,48,133,177,170,80,78,174,161,162,160,156,164,133,47,113,156,144,174,174,174,175,175,175,175,175,176,172,156,77,100,185,176,95,66,173,164,166,162,160,171,107,45,144,151,146,177,176,176,177,178,179,178,176,177,177,170,106,71,184,177,84,53,171,168,168,163,170,163,87,67,164,151,150,180,179,179,180,181,180,180,180,181,180,175,120,42,172,181,79,50,169,173,169,166,167,137,51,108,168,154,154,181,182,181,182,182,181,181,182,183,182,174,143,46,129,191,96,55,166,178,171,169,157,104,36,155,162,156,155,183,183,183,183,183,183,182,183,183,186,167,150,99,67,181,104,51,163,182,174,176,162,75,76,178,160,160,158,185,185,185,184,185,185,185,185,184,187,178,157,132,85,143,106,71,132,185,179,171,141,51,135,176,164,164,163,188,188,188,188,187,188,187,187,187,189,189,163,160,174,166,143,151,76,81,162,161,98,53,173,170,166,165,162,190,190,190,190,190,189,189,189,190,190,193,176,164,144,131,134,148,83,34,47,91,45,100,188,168,168,167,163,190,191,191,191,190,191,192,192,192,191,192,187,176,113,18,62,137,105,70,56,57,11,146,184,174,172,168,166,192,192,192,193,191,192,193,193,193,193,192,187,164,88,32,4,81,114,90,83,78,5,153,186,176,175,172,169,193,194,194,194,195,194,194,195,195,194,193,184,161,124,73,18,13,24,61,84,54,0,105,196,175,177,172,171,196,196,197,197,198,198,197,198,199,197,196,178,165,133,64,21,30,32,65,125,89,28,36,189,177,177,174,173,198,198,199,198,198,200,199,200,201,201,197,176,165,119,66,36,37,74,153,164,131,74,0,121,192,176,176,174,198,197,198,199,199,199,200,200,200,200,198,179,168,138,87,43,44,115,180,189,159,118,10,74,197,175,176,174,198,197,198,199,198,199,200,199,199,199,199,176,166,146,96,42,56,140,186,181,154,101,3,93,195,173,175,173,199,199,200,200,200,201,201,201,201,201,200,171,158,163,103,51,69,162,189,161,121,74,0,136,188,173,174,170,200,201,201,201,201,202,202,203,202,202,202,166,152,157,106,54,68,173,173,138,93,57,10,170,184,176,177,183,200,200,200,200,200,200,202,202,202,201,203,164,145,144,106,51,54,155,153,132,81,33,31,185,182,190,177,108,207,209,210,211,211,211,213,213,212,210,215,183,144,144,105,60,57,147,149,118,62,1,75,210,177,120,45,0,114,118,124,132,136,141,147,149,153,160,167,164,145,136,103,80,52,132,140,93,39,0,112,122,36,0,0,0,57,56,57,59,57,55,57,55,54,57,56,72,152,137,102,83,45,90,98,48,10,0,11,0,0,0,0,0
16,62,59,58,56,56,58,58,60,60,65,76,84,92,99,105,111,114,116,119,120,124,129,132,136,139,142,144,146,61,59,57,56,56,57,58,60,59,65,76,84,92,98,105,112,115,114,116,121,125,127,132,135,138,141,143,146,60,59,57,55,56,57,58,57,57,65,74,82,91,98,105,110,112,129,117,100,117,132,134,132,137,140,142,145,60,58,56,55,55,55,57,58,57,65,74,82,90,96,105,109,137,142,117,94,77,88,121,140,138,139,142,144,61,58,55,55,56,56,56,56,57,64,75,85,84,128,142,139,143,123,101,96,82,60,57,95,137,146,145,145,60,58,56,55,55,56,56,55,56,63,75,73,103,159,139,129,124,109,95,81,75,72,59,47,69,111,133,145,58,58,56,55,55,55,55,56,55,64,67,89,149,135,116,113,105,98,85,67,71,74,65,59,52,52,67,89,59,57,55,54,55,54,55,55,57,59,71,138,135,112,108,98,84,77,67,66,63,73,75,62,62,56,52,51,58,55,54,53,54,52,54,56,49,77,121,122,106,102,89,75,68,61,62,64,48,75,73,80,66,59,55,52,56,54,53,52,54,52,54,48,62,145,123,100,95,84,68,62,56,51,60,50,41,81,77,90,71,64,55,49,53,51,48,48,49,49,53,33,123,159,120,95,72,63,59,54,45,52,53,30,46,85,79,88,75,65,54,49,102,99,97,94,89,88,80,88,158,140,108,77,54,46,45,40,44,51,31,16,58,82,78,93,81,75,60,56,87,84,84,82,82,81,77,145,142,119,85,59,42,39,37,25,29,22,9,7,58,78,79,104,99,85,69,58,80,80,80,81,81,71,103,144,113,90,63,47,37,40,29,9,5,0,2,0,48,78,85,111,101,86,80,53,85,85,84,86,82,85,145,123,87,58,49,40,38,40,28,4,0,0,1,0,30,69,94,116,81,84,84,48,85,86,86,88,75,123,144,97,63,39,37,40,44,45,45,33,3,0,2,4,3,66,121,97,64,79,74,42,86,87,90,80,98,137,102,68,40,59,49,43,48,50,49,49,26,22,26,18,21,117,115,75,59,63,52,42,85,87,85,87,137,104,67,38,55,96,65,66,62,58,54,47,40,38,39,22,93,127,91,63,52,48,41,42,87,87,77,129,120,69,40,43,83,74,60,64,66,59,56,50,42,42,25,51,141,111,74,49,43,38,39,43,86,87,83,113,82,44,46,80,85,76,78,67,54,47,48,44,38,42,36,106,144,111,55,39,37,35,41,40,84,87,86,86,77,73,83,85,86,87,85,80,73,61,69,68,66,77,79,143,143,116,54,28,33,47,45,39,84,85,86,86,86,87,85,85,85,85,86,87,88,88,88,87,88,88,81,146,147,116,62,29,59,52,44,43,82,85,86,85,84,85,84,84,86,86,86,87,86,86,86,85,86,87,79,125,134,107,54,68,107,63,58,56,81,83,84,84,85,85,84,85,85,85,86,87,87,86,87,86,87,88,83,98,112,76,55,84,112,87,65,66,82,83,84,84,84,84,84,85,85,85,85,86,86,86,86,87,86,86,86,86,90,70,71,82,103,125,86,75,81,83,83,84,84,84,84,84,85,85,85,86,86,87,86,86,87,87,86,86,86,87,88,84,84,135,113,97,81,82,83,85,84,83,84,83,84,85,85,85,86,86,86,86,87,87,86,86,86,86,87,89,77,129,134,112,83,82,83,84,83,83,84,84,84,85,84,84,85,85,85,85,86,86,86,86,87,86,87,89,75,117,145,122
2,190,191,190,191,190,190,192,192,191,192,193,192,191,191,190,190,191,188,189,189,188,188,188,188,185,185,184,183,193,193,193,193,193,193,194,194,193,195,195,193,194,194,195,195,194,195,190,189,186,188,189,188,187,186,185,184,195,194,195,194,195,195,195,195,196,196,196,195,191,186,175,172,149,165,205,196,191,190,189,188,188,187,186,187,196,195,196,197,197,196,196,195,197,197,193,181,154,127,106,87,77,111,174,163,187,192,190,191,191,189,187,188,198,198,198,198,198,199,197,197,192,190,171,130,95,81,77,57,56,66,102,81,179,197,193,193,193,191,192,191,199,200,200,199,200,200,200,192,183,162,118,79,57,52,48,50,54,69,76,80,178,198,194,194,195,193,191,192,200,201,200,200,201,200,198,185,179,117,64,50,44,47,55,45,46,55,69,75,89,200,194,193,194,194,192,193,201,201,199,199,200,202,196,189,156,92,45,36,47,51,50,45,59,72,75,80,146,204,195,196,196,197,196,194,202,202,202,200,202,203,192,188,127,67,41,50,49,37,54,69,58,59,99,176,203,197,199,199,194,180,190,197,202,202,203,202,203,202,193,181,123,72,45,58,42,55,64,52,88,173,200,205,199,200,202,196,174,134,148,205,203,203,204,204,208,197,197,177,122,76,56,42,49,74,68,132,199,209,201,200,201,202,198,171,170,102,157,206,205,205,204,207,198,184,204,172,118,73,58,38,64,59,120,225,202,202,203,202,201,204,183,164,149,95,196,200,208,207,205,210,186,173,206,173,129,82,53,44,61,57,182,210,202,205,205,203,204,205,168,171,108,112,211,197,208,208,207,213,183,169,210,178,145,91,51,52,49,109,220,203,207,207,205,205,207,188,159,159,97,124,213,199,208,208,208,214,180,183,217,183,151,107,59,55,42,152,225,210,213,212,208,210,189,168,172,158,83,122,216,200,208,208,208,216,181,193,220,185,156,118,65,53,46,146,212,184,177,188,201,192,167,174,170,123,79,183,206,203,209,210,210,214,179,198,220,182,157,130,72,48,60,78,110,121,128,134,142,132,157,163,131,82,173,210,202,204,211,211,211,215,178,198,217,183,163,133,80,52,65,91,124,145,146,125,122,114,123,125,76,163,214,202,206,205,210,212,211,214,175,198,214,191,169,134,84,70,76,119,136,152,140,121,102,98,99,69,142,218,203,208,208,206,211,212,213,211,179,199,211,194,166,133,95,83,74,119,128,139,135,114,93,90,61,109,218,207,208,208,207,207,213,213,216,210,184,202,206,196,163,129,103,93,75,106,119,121,122,105,91,65,86,201,214,208,210,209,209,208,214,214,216,208,192,206,204,202,164,124,105,92,73,102,103,104,101,89,68,122,202,215,210,210,210,209,209,208,216,215,217,205,199,209,199,195,153,108,93,82,72,98,88,95,77,73,162,219,214,211,210,210,210,209,208,208,215,214,216,201,201,208,196,184,139,92,83,77,77,92,80,72,82,180,224,211,213,212,211,212,211,210,210,209,213,213,216,202,193,199,195,188,150,87,88,88,83,85,56,103,200,220,214,214,215,213,212,213,211,210,210,209,214,215,214,202,197,190,195,200,168,84,94,95,92,60,101,216,214,212,215,214,212,212,212,212,210,207,208,208,213,216,208,203,211,198,201,202,175,88,97,101,87,90,207,217,214,215,215,214,213,213,212,212,210,209,208,207,214,217,206,206,209,208,203,198,172,96,89,97,78,158,225,213,217,216,216,216,213,214,214,213,210,211,209,208
22,158,159,159,158,159,160,160,159,159,160,160,160,159,158,157,155,156,156,154,153,152,151,150,148,147,145,143,141,161,162,161,162,162,163,163,162,162,162,166,163,161,160,161,162,158,158,156,156,155,154,152,151,149,147,146,144,164,164,165,165,165,165,165,164,164,166,140,160,166,163,154,145,162,160,159,159,157,156,155,153,154,152,148,147,166,167,167,167,168,168,168,168,167,165,119,131,172,166,164,106,153,165,162,161,161,159,156,158,132,140,153,149,168,169,170,170,169,170,170,170,168,164,136,105,173,166,170,106,135,171,163,163,162,160,159,165,112,106,160,149,170,170,172,173,171,172,173,172,170,169,152,93,162,170,171,106,117,175,164,165,163,161,164,161,98,115,162,153,172,173,175,175,174,174,175,174,175,170,154,89,147,177,173,111,109,175,166,167,166,163,169,147,89,134,163,155,175,176,175,176,176,176,176,176,177,174,163,109,125,183,177,121,102,175,169,170,167,166,173,130,87,155,160,156,178,177,177,178,178,178,178,176,177,177,172,129,105,182,178,114,92,174,171,171,168,173,168,116,102,169,160,159,179,179,179,179,180,179,180,179,180,180,176,139,85,174,180,110,91,172,174,172,170,171,150,91,130,171,162,162,180,181,180,181,181,180,180,181,181,181,176,154,88,145,187,122,94,170,178,173,172,163,128,81,163,167,163,162,181,181,182,182,182,182,181,182,181,183,171,159,124,102,180,127,91,168,181,175,177,167,107,109,178,166,166,164,183,183,183,182,183,183,183,183,183,184,178,164,146,115,154,129,105,147,183,179,173,153,91,148,177,168,169,168,185,185,185,185,184,185,185,185,184,185,186,168,166,175,170,154,160,108,112,167,167,123,93,175,172,170,169,167,186,186,186,186,186,186,185,186,186,186,188,177,168,155,146,148,157,113,80,89,118,87,125,185,172,171,171,168,187,187,187,187,186,187,187,188,188,187,188,184,177,134,69,99,150,128,104,95,96,64,156,182,175,174,172,170,187,188,188,188,187,188,188,188,188,188,188,185,168,117,79,59,111,134,118,113,110,60,161,183,177,176,174,172,189,189,189,189,189,189,189,190,190,189,189,182,167,141,106,68,65,73,98,114,93,55,128,190,176,177,174,173,191,190,191,191,192,192,191,192,193,191,190,178,170,148,100,71,77,78,101,142,117,75,81,186,177,177,175,175,192,192,193,192,192,193,192,193,194,194,191,176,169,138,101,81,82,107,161,169,146,107,55,139,187,177,176,175,191,191,192,192,192,192,193,193,193,193,191,178,171,151,116,86,87,135,179,185,165,137,63,107,191,176,177,175,192,191,192,192,192,192,193,193,193,193,192,177,170,156,122,85,95,152,184,180,162,125,59,120,189,175,176,175,192,192,193,193,193,194,194,194,194,194,193,173,164,168,127,91,104,167,186,166,139,107,50,149,185,175,176,173,193,194,194,194,194,194,195,195,195,195,194,170,161,164,129,94,103,175,175,151,120,95,63,173,182,177,178,181,193,193,193,193,193,193,194,194,195,194,195,169,156,155,129,91,94,162,161,147,112,79,78,183,181,186,178,130,198,200,200,200,200,201,202,202,202,200,203,181,155,155,128,97,95,157,158,137,99,57,108,200,177,138,87,47,134,137,141,146,150,153,157,158,161,166,171,169,155,149,127,111,92,147,152,120,83,52,133,139,81,49,47,45,95,95,95,96,95,94,95,94,93,96,94,105,160,150,126,113,87,118,123,89,63,50,64,52,35,44,53,39
13,190,190,192,194,195,195,196,197,198,198,198,198,198,198,198,198,196,195,194,194,194,193,191,189,188,187,185,185,190,191,192,195,196,197,198,198,199,199,200,201,204,199,200,202,202,197,196,195,194,194,193,192,191,189,187,186,191,193,194,196,198,199,199,200,200,201,189,166,172,206,188,163,171,201,197,197,196,195,194,193,192,192,190,188,192,194,195,197,199,199,200,202,201,205,189,161,136,164,171,146,109,175,206,198,197,197,196,194,193,192,191,189,192,194,196,198,199,200,202,203,201,212,208,176,155,112,163,160,117,140,211,198,199,198,197,195,194,192,192,190,193,196,198,199,200,201,202,203,203,205,210,178,150,109,140,155,116,124,209,201,200,199,197,196,196,194,192,191,193,197,199,201,202,202,203,204,208,208,201,175,144,112,118,135,106,117,208,201,201,199,198,197,197,196,194,192,195,197,199,201,203,204,205,204,194,198,189,174,146,123,114,145,108,126,210,201,202,201,200,199,199,197,195,193,196,197,199,202,204,205,205,192,152,134,141,177,177,136,122,151,117,131,213,202,203,203,201,199,198,198,196,194,196,199,201,203,204,205,214,191,152,140,121,176,189,145,114,140,114,100,192,209,203,204,202,200,200,198,197,195,197,199,201,203,203,198,169,173,169,158,126,111,148,118,107,116,114,110,140,212,204,204,203,202,201,199,198,196,198,200,203,201,209,192,141,129,178,162,147,95,73,80,102,119,130,140,113,182,211,203,203,202,202,200,199,197,198,201,201,210,216,177,152,134,154,171,147,124,78,100,106,134,151,150,118,139,216,204,204,203,202,200,199,198,199,201,203,215,183,176,167,152,129,164,154,137,90,110,158,167,155,139,121,126,213,205,204,204,203,201,200,198,198,201,204,216,180,157,163,148,129,141,145,116,88,120,171,179,163,133,109,139,216,205,205,205,204,203,201,198,199,201,207,206,181,146,138,138,115,98,119,111,95,141,178,172,161,133,97,164,218,206,205,204,203,203,201,199,199,202,205,207,199,175,141,116,98,87,117,122,123,184,186,166,154,127,98,191,215,208,206,204,204,203,202,199,201,203,204,206,203,185,162,146,131,129,139,138,178,201,179,158,144,120,111,210,210,209,208,205,204,203,202,200,201,204,205,205,200,189,171,152,136,139,170,196,197,188,171,153,137,108,130,220,209,210,208,206,205,203,202,202,201,204,206,207,191,179,168,150,138,140,162,194,189,178,160,143,131,97,154,222,210,210,209,206,204,204,203,203,201,203,206,208,186,178,170,154,149,144,155,186,188,175,152,133,122,92,185,219,211,210,209,207,205,204,204,202,201,203,205,210,198,177,171,161,154,143,149,179,181,165,140,123,103,114,217,212,212,210,209,208,206,204,204,202,200,203,205,209,210,183,171,164,151,142,140,163,169,152,129,117,89,169,222,212,213,211,209,209,206,206,205,203,201,203,206,208,212,206,178,160,147,142,139,152,163,147,128,109,105,212,214,213,212,211,210,208,207,206,205,203,201,204,207,210,211,211,190,167,152,147,151,151,159,148,126,101,145,224,212,213,213,212,210,208,209,208,205,203,201,204,206,208,209,206,197,176,170,168,165,157,160,144,120,101,181,221,212,212,211,211,210,208,208,206,205,203,200,202,205,208,208,199,204,186,180,174,166,163,153,136,115,106,203,216,212,211,210,210,209,206,205,204,203,202,200,203,205,208,208,197,209,189,181,180,166,155,138,132,108,116,215,213,213,211,211,211,209,208,206,204,202,202
15,120,123,126,129,106,99,100,103,93,62,105,111,61,23,59,75,75,80,83,87,91,103,110,114,119,123,126,129,121,124,127,128,105,102,101,106,88,67,108,112,52,28,64,74,76,80,84,88,92,103,111,114,120,123,126,129,122,125,128,127,105,105,103,109,80,74,111,108,44,33,67,73,77,80,84,88,93,105,111,114,120,123,127,130,124,126,129,124,104,102,102,112,73,82,113,106,36,36,69,73,76,81,84,88,95,105,110,115,120,123,128,130,125,128,129,124,122,115,107,107,74,89,112,100,26,37,71,73,77,80,85,89,95,107,110,116,122,125,128,131,124,128,131,126,119,120,118,114,108,105,107,95,58,58,74,75,76,80,85,88,96,108,112,117,122,125,128,131,125,129,132,120,103,100,91,103,107,109,111,115,115,107,103,99,95,91,88,88,98,110,112,118,123,125,129,132,126,130,133,118,107,104,86,84,91,86,95,116,110,110,109,111,118,118,104,93,92,96,113,118,123,126,130,133,127,130,133,117,110,110,114,97,68,90,81,100,103,99,96,101,118,129,120,103,97,74,92,121,123,126,129,133,128,131,132,115,110,110,117,94,69,119,113,68,75,97,86,104,126,128,120,114,110,88,72,109,126,127,130,133,129,132,134,113,111,111,119,87,73,118,122,49,29,69,91,133,125,128,130,128,122,105,84,79,124,128,131,133,129,133,133,113,114,110,122,88,83,118,119,40,27,74,105,143,105,127,135,139,136,112,90,72,94,132,130,133,130,134,130,114,115,121,115,102,106,104,105,46,76,125,116,93,97,129,137,143,135,111,93,83,69,114,135,133,131,135,129,114,119,124,108,112,123,120,101,88,102,103,95,68,89,150,131,121,122,112,102,87,72,80,134,134,132,136,127,114,121,112,90,101,121,123,101,91,100,97,99,103,114,116,100,101,113,113,100,85,79,64,105,140,132,136,126,116,121,120,101,86,111,112,92,96,104,102,106,114,115,99,83,88,101,101,92,83,79,70,70,127,133,137,124,120,121,122,117,70,113,91,80,92,97,100,106,114,107,90,81,81,89,90,91,89,82,77,67,81,133,137,124,121,122,125,107,72,128,80,62,71,82,85,98,107,105,91,82,83,86,86,91,93,86,82,75,65,134,137,123,123,121,128,100,95,98,68,61,48,88,97,79,94,95,88,86,88,88,88,90,91,85,81,77,70,134,136,123,124,122,126,123,88,67,62,54,29,127,133,75,89,90,86,89,94,95,94,92,88,86,84,78,73,135,135,123,126,122,131,117,70,56,78,47,21,100,134,95,91,113,106,111,112,105,97,92,86,84,86,83,75,136,134,122,127,125,130,86,61,82,123,43,29,66,105,115,82,90,115,112,109,104,94,88,84,83,85,86,81,138,132,122,129,126,136,74,94,135,123,34,34,72,75,90,77,64,94,106,99,97,90,86,86,86,88,87,85,138,133,125,132,129,138,70,115,139,120,29,37,75,78,76,78,80,91,117,97,88,88,85,88,92,92,86,83,138,130,127,132,132,136,67,119,142,114,23,41,77,77,78,79,83,83,107,126,102,81,82,82,87,92,92,86,136,129,129,133,134,130,66,127,142,104,20,44,77,76,76,78,81,85,85,121,137,112,93,80,82,92,100,90,136,130,132,134,137,124,71,133,145,94,20,50,79,75,75,77,82,84,88,100,132,112,98,106,104,108,103,95,137,133,135,134,140,116,73,136,146,84,20,53,79,74,76,77,81,84,89,99,106,103,113,121,114,116,114,110
23,77,86,101,109,113,117,122,124,125,128,130,133,134,137,137,139,141,142,143,143,144,146,147,148,149,151,151,151,77,87,103,110,114,118,122,125,127,129,131,135,136,137,139,140,140,142,143,143,147,147,148,149,150,150,151,152,79,91,105,110,115,119,123,126,128,130,133,135,137,139,140,142,142,143,144,144,148,149,150,150,151,152,152,153,81,93,106,111,117,120,122,126,130,133,135,136,137,141,142,143,144,146,146,147,148,149,150,150,152,154,154,153,81,94,108,112,118,122,125,128,131,133,136,137,138,141,142,143,145,148,147,147,147,150,152,155,154,155,156,156,83,96,109,114,119,122,126,128,132,133,136,138,141,142,143,144,147,146,149,152,139,140,144,105,143,158,156,157,86,99,111,114,120,123,127,130,133,136,137,139,142,143,144,144,145,155,163,149,125,113,91,77,152,158,156,158,89,102,111,116,120,123,127,131,134,136,139,141,142,144,144,150,160,155,150,110,76,102,108,148,161,158,159,161,88,104,113,117,122,125,128,131,134,136,139,141,143,145,141,173,159,123,96,77,129,141,164,161,159,161,161,163,90,105,113,117,120,125,129,132,134,136,139,143,144,144,144,179,161,93,86,163,156,82,143,162,159,161,162,162,91,105,112,117,121,125,129,132,136,137,141,143,144,145,150,183,162,141,180,173,132,96,118,172,161,163,164,163,92,106,113,119,123,127,131,134,135,138,140,143,145,145,157,180,167,182,169,143,132,142,111,126,136,166,163,164,93,108,113,118,123,128,132,135,137,138,140,143,147,145,158,169,164,166,155,161,162,149,102,62,80,153,170,165,95,108,113,118,124,128,131,135,137,140,141,145,146,149,158,156,151,161,166,157,145,128,86,47,49,105,175,166,97,109,114,119,125,129,132,136,137,139,145,145,152,167,159,147,149,154,147,142,144,122,73,44,50,59,106,167,98,110,115,119,125,130,133,136,138,141,144,141,172,184,154,149,150,150,146,139,122,102,71,47,43,69,64,127,99,110,115,119,125,129,134,136,138,140,143,142,159,188,165,165,146,117,99,85,88,108,70,44,38,67,69,143,101,111,116,122,125,130,135,138,140,140,143,144,154,183,168,153,132,117,76,28,89,114,69,46,57,71,94,174,102,112,116,122,126,131,136,139,141,142,144,146,157,177,154,143,154,106,60,46,104,90,44,45,76,71,134,178,103,112,115,120,127,132,135,140,143,142,146,147,155,180,152,158,156,95,37,43,50,27,37,58,78,87,172,172,105,112,117,122,126,131,136,138,141,143,146,147,156,175,155,164,146,108,57,12,17,37,65,76,68,124,178,170,106,113,118,123,127,133,136,138,141,143,145,147,159,171,156,168,147,107,72,22,42,68,81,84,79,162,172,171,107,113,118,123,127,134,137,140,142,143,147,147,161,170,161,167,147,108,82,38,55,79,86,76,113,180,169,173,107,112,118,125,128,132,137,140,142,145,149,147,164,169,164,164,142,110,81,41,62,84,86,69,140,178,171,174,107,112,118,124,129,133,137,140,143,144,148,149,166,172,158,154,138,109,82,56,60,84,80,76,165,174,173,174,107,112,118,125,128,132,138,141,142,145,149,149,164,170,152,147,132,108,84,68,61,81,68,107,179,169,172,172,107,112,119,125,128,132,137,141,143,146,149,150,165,168,153,147,129,111,91,72,64,73,71,159,175,171,173,173,106,112,119,124,129,133,137,142,144,145,150,149,172,167,156,148,130,114,95,74,68,65,122,178,170,174,174,175
12,182,183,185,188,189,189,190,193,194,195,195,194,193,193,192,191,191,191,190,189,189,188,188,187,186,184,184,185,184,185,187,189,190,192,193,195,196,196,196,196,195,195,195,194,193,192,193,191,191,191,189,188,187,186,185,185,186,187,189,190,193,194,196,196,197,197,198,198,197,197,196,196,196,194,194,193,191,192,191,191,190,190,188,186,188,188,190,192,195,196,196,198,199,198,198,199,201,200,198,198,199,201,197,194,193,194,193,193,191,191,190,189,188,190,192,193,196,197,198,200,202,201,200,200,196,201,204,198,182,172,195,201,200,197,195,196,192,191,191,190,189,192,194,195,198,199,200,202,202,202,204,203,170,141,191,205,164,97,124,197,171,190,202,194,196,195,194,192,191,194,196,198,200,203,204,204,205,202,214,218,172,112,116,203,145,117,76,148,132,92,160,203,195,196,195,194,194,196,197,202,202,204,206,205,204,202,215,207,156,111,87,202,157,129,82,129,138,85,78,188,199,196,196,196,196,196,200,203,204,203,204,206,216,169,176,206,145,99,82,217,207,148,107,125,125,94,69,173,205,197,198,197,197,199,201,203,204,206,205,235,221,177,135,196,192,104,69,241,232,137,113,173,143,100,67,182,206,198,199,199,199,201,203,205,207,206,219,255,222,192,113,191,234,115,83,175,169,86,146,207,141,87,69,193,206,203,201,200,200,203,204,204,209,205,227,240,222,185,113,134,187,114,95,109,154,133,165,164,94,54,96,212,204,205,203,202,202,204,205,207,208,211,248,227,189,145,110,67,83,83,107,128,184,218,176,130,99,56,167,215,204,206,205,204,203,205,208,211,206,238,245,219,156,111,98,66,34,125,215,209,199,183,154,140,139,74,180,214,206,207,205,205,204,205,209,212,206,243,251,202,149,149,109,42,112,232,230,217,190,175,141,131,124,75,185,218,208,208,206,206,205,206,210,213,209,248,252,193,145,176,122,114,215,244,232,216,189,166,147,122,102,72,201,215,211,210,209,208,206,207,210,213,214,255,250,211,196,164,171,202,239,238,228,208,185,157,141,112,88,63,196,218,212,211,210,209,206,209,212,213,219,255,249,226,219,178,170,210,240,232,215,202,173,143,129,105,81,56,186,222,213,214,211,211,209,211,213,215,218,253,250,233,223,185,183,218,227,218,199,188,159,134,118,94,72,55,202,221,215,216,213,212,210,212,213,217,218,247,247,239,221,190,173,210,211,201,194,177,144,120,101,86,48,122,226,214,217,215,214,213,211,212,215,217,214,242,245,237,219,179,168,189,194,192,180,161,128,106,95,64,100,222,220,216,218,217,216,214,211,213,214,222,225,233,240,236,196,155,169,185,190,195,176,148,128,109,77,102,220,222,218,218,218,217,217,216,210,211,221,196,178,234,224,207,184,179,188,186,200,198,170,133,125,97,67,201,229,220,220,219,219,218,218,216,211,213,227,132,45,204,240,215,209,198,178,169,198,184,142,118,113,62,154,234,221,223,222,221,220,219,218,217,212,221,192,103,82,97,203,219,205,186,164,151,177,151,119,109,72,113,236,224,225,223,224,222,222,220,219,219,210,227,142,86,109,55,79,116,109,104,99,104,128,114,100,80,72,219,231,224,225,225,225,224,224,222,220,220,215,207,106,90,103,74,22,62,56,52,41,37,37,46,55,35,67,210,230,225,225,225,225,224,223,221,221,221,221,157,90,93,98,87,11,43,59,54,43,40,36,32,26,21,6,154,240,223,226,224,224,223,221,220,221,220
5,175,176,176,177,178,179,179,180,181,185,184,185,186,186,184,190,186,185,185,184,185,184,184,184,182,181,179,183,179,179,181,183,183,184,184,185,185,185,187,187,188,189,195,163,188,189,187,187,186,184,184,186,186,182,190,142,184,185,186,187,187,188,189,190,189,190,190,195,192,195,218,97,173,196,191,190,188,190,190,187,187,192,160,56,188,189,191,192,192,193,194,195,195,195,195,191,189,226,191,97,190,197,194,194,205,148,178,191,189,181,73,44,194,195,196,197,198,197,198,199,201,196,225,148,161,247,134,142,211,197,195,194,176,101,177,196,201,133,40,58,199,200,201,203,203,204,203,203,204,195,243,154,165,224,108,189,206,204,183,177,114,136,203,197,195,91,54,83,204,205,206,207,208,209,208,207,208,202,244,164,170,185,118,215,208,184,174,125,120,206,204,203,191,79,73,80,208,210,210,210,212,212,212,213,213,210,236,159,158,140,151,223,175,161,142,109,203,209,207,205,208,114,78,80,212,214,214,215,216,215,216,217,216,213,249,177,127,110,197,170,129,130,101,187,221,210,211,209,212,135,74,74,216,218,218,219,220,219,220,219,219,219,254,193,124,124,182,123,114,89,175,226,214,214,213,211,217,164,67,51,219,220,220,221,222,223,222,222,223,223,243,181,124,124,128,123,99,142,238,220,219,219,215,214,219,197,65,44,222,222,225,225,225,225,226,225,227,225,233,199,123,105,103,124,98,196,226,214,230,222,218,220,222,208,150,145,224,226,228,228,228,228,228,228,229,227,234,223,148,98,93,103,118,209,150,147,194,230,227,222,219,225,147,193,226,227,230,231,231,231,230,231,232,232,232,234,171,108,99,96,114,127,132,168,169,184,212,227,228,228,145,236,230,231,232,232,234,233,234,235,235,235,237,251,208,139,100,103,98,114,121,145,192,190,185,199,203,195,207,177,233,234,235,235,237,237,238,237,237,237,241,255,231,165,107,97,110,102,89,128,157,159,181,188,162,151,182,142,235,236,236,237,239,239,239,239,240,241,240,255,245,174,115,89,106,90,142,233,220,201,173,169,208,196,131,150,237,238,239,240,240,240,240,242,244,243,242,255,250,182,123,88,86,123,255,240,245,235,193,214,198,139,188,225,239,240,241,242,243,242,243,244,245,242,241,255,249,186,132,90,62,133,223,253,234,180,195,187,120,177,249,233,241,242,243,244,245,245,244,244,246,244,243,255,246,184,132,84,74,102,107,206,172,178,191,124,132,244,238,236,243,244,245,245,246,247,246,246,248,243,253,255,238,183,133,83,81,111,114,116,143,179,140,142,238,243,241,240,244,245,245,246,247,247,248,248,251,238,254,255,234,183,133,90,86,114,122,138,145,139,135,242,247,242,242,240,245,246,248,249,249,250,250,249,252,239,255,255,228,180,132,92,93,125,131,138,123,118,231,252,244,247,244,242,246,248,250,250,251,252,252,252,249,239,255,255,223,176,128,92,92,125,135,132,106,208,255,244,248,247,246,245,247,249,250,251,252,252,253,255,241,246,255,254,216,166,125,97,91,127,139,111,146,255,250,250,252,250,247,246,249,251,252,252,253,253,254,255,234,255,255,245,210,166,122,99,101,133,129,96,216,255,253,255,253,252,250,247,251,253,253,253,255,254,255,242,248,255,255,240,216,163,117,101,108,131,103,158,255,253,255,254,252,253,251,249,251,253,253,254,255,255,255,234,255,255,253,235,194,138,110,98,112,115,135,252,255,255,255,255,254,252,251,250
14,125,130,136,140,143,145,147,150,152,152,154,155,156,157,157,157,157,157,158,156,155,155,154,153,153,151,151,150,127,133,138,142,146,148,151,153,155,155,156,158,159,161,161,161,159,162,160,159,159,158,156,155,155,154,154,153,129,135,139,144,148,151,154,155,157,158,160,161,162,163,163,164,162,163,166,164,163,161,159,158,157,157,156,154,131,135,141,145,150,154,155,158,160,161,162,164,166,166,166,168,163,165,153,160,164,166,163,161,162,161,158,157,133,138,144,147,152,155,157,160,162,163,165,168,170,168,168,168,188,174,141,145,144,139,169,166,162,164,163,161,135,141,146,151,153,156,158,162,163,163,168,171,172,170,171,194,190,175,156,142,132,110,108,161,169,164,164,164,138,144,149,153,155,157,160,165,166,167,170,172,172,173,194,196,196,165,155,177,142,103,57,84,175,167,167,166,139,146,151,154,158,162,164,166,170,170,172,173,172,183,197,186,179,98,46,137,106,148,57,9,106,182,166,169,141,147,151,156,161,164,166,168,171,173,175,176,185,203,188,107,67,56,20,16,57,182,108,30,65,178,170,170,145,150,154,159,163,164,168,170,172,176,175,189,213,210,169,111,53,8,6,5,0,134,145,67,36,166,176,172,145,152,156,161,163,166,170,172,176,177,178,211,209,167,117,89,62,22,1,5,22,130,111,80,39,133,186,173,144,152,158,163,165,170,172,174,178,171,203,218,194,152,74,32,33,18,4,33,154,191,166,138,54,103,191,173,146,152,159,164,167,170,173,178,172,191,230,204,186,148,80,34,7,2,20,180,193,172,165,111,31,128,191,177,149,154,160,165,168,171,175,175,180,228,215,199,180,120,78,43,0,0,145,204,184,173,150,110,21,82,199,177,151,156,162,167,171,173,178,174,221,233,210,198,165,128,87,23,0,6,73,139,208,155,127,96,41,27,166,188,151,158,164,168,173,178,175,195,240,228,208,186,161,114,66,13,10,27,20,39,161,116,127,94,66,25,143,196,152,160,166,170,175,180,175,227,237,220,199,182,151,85,44,11,47,61,63,59,48,100,129,101,38,74,190,187,155,161,167,172,174,173,197,240,223,211,189,166,123,78,40,38,70,76,78,86,65,96,114,69,45,180,193,188,155,162,169,172,187,181,230,231,214,197,173,158,111,80,48,57,77,82,80,77,78,83,85,40,157,200,188,190,155,161,170,175,103,175,252,223,203,187,169,141,120,80,51,66,83,78,68,66,82,44,25,148,205,191,194,191,157,163,180,124,28,54,172,215,177,155,138,125,96,50,51,56,70,73,60,60,38,26,133,208,193,196,194,195,157,168,158,49,47,36,33,101,150,137,94,57,22,24,38,37,51,57,39,38,109,183,208,196,199,197,195,195,158,173,87,45,36,34,31,27,41,47,34,16,7,11,16,15,16,17,51,159,217,207,202,201,199,198,197,197,169,126,42,45,29,28,27,34,14,0,0,0,0,0,0,0,53,133,193,214,202,203,204,202,201,201,198,198,156,66,44,31,28,25,24,20,36,0,0,0,0,0,0,0,26,221,209,204,206,206,205,203,203,203,200,200,93,40,33,29,28,23,18,17,28,0,0,0,0,0,0,0,54,219,203,208,206,207,207,205,205,204,201,201,56,36,21,22,20,11,11,12,30,0,0,0,0,0,0,0,150,226,207,210,210,209,208,206,205,204,203,202,55,37,27,11,0,52,34,0,33,0,0,0,0,0,0,0,195,215,210,210,210,209,208,207,207,205,203,203
16,95,96,101,105,116,126,132,139,144,147,148,150,154,160,163,168,170,171,172,175,178,178,180,182,182,183,185,186,95,97,101,107,116,126,134,140,145,148,148,151,156,161,163,166,170,173,175,176,178,179,181,182,184,184,184,186,95,98,102,107,118,127,135,141,146,147,149,153,157,161,164,168,170,173,175,177,178,180,182,184,185,185,186,187,96,99,102,107,119,128,135,141,146,149,152,155,158,161,166,169,171,174,175,177,179,182,184,185,185,186,187,187,96,100,102,108,121,131,138,144,148,151,153,155,162,167,167,172,177,176,176,179,182,183,186,186,186,187,188,188,96,100,103,110,122,133,141,144,148,151,152,151,152,147,135,128,140,178,179,179,184,186,187,186,189,190,190,190,98,101,105,113,124,133,136,145,155,150,137,124,113,100,93,96,88,109,176,186,184,187,189,190,191,191,192,193,99,102,104,114,123,131,150,167,159,135,106,102,100,89,81,90,100,79,98,180,190,186,191,193,193,193,194,194,99,103,107,110,123,159,174,147,121,100,82,94,96,85,80,90,95,85,85,101,193,189,193,194,193,194,195,195,100,104,96,130,161,154,117,103,97,84,81,98,96,82,85,93,92,85,104,70,132,203,191,194,195,196,197,196,98,98,139,174,134,103,84,88,88,71,91,105,93,84,94,95,84,94,101,88,76,186,195,194,197,200,199,199,93,181,194,129,97,84,74,73,102,132,99,84,61,86,102,90,66,99,98,87,66,123,209,196,200,200,200,201,121,220,149,113,86,69,91,131,199,199,116,61,64,67,93,75,57,109,95,82,79,63,160,207,198,200,201,201,103,166,123,92,90,144,210,205,212,186,135,79,71,67,57,37,67,117,91,94,95,86,80,170,207,200,202,204,98,107,110,100,191,212,209,197,210,179,137,95,78,70,28,12,76,115,90,103,106,106,89,94,205,204,204,204,103,104,106,130,215,191,209,203,206,164,122,98,93,83,74,22,58,107,89,101,111,98,89,67,168,213,204,205,103,107,101,150,224,193,216,205,188,138,93,97,102,93,87,64,37,87,97,142,127,90,78,61,123,219,204,206,104,107,98,180,227,190,215,201,164,115,102,108,110,105,89,78,41,53,149,184,179,158,122,58,124,221,205,208,105,108,100,189,225,185,189,179,119,89,93,115,110,96,91,81,72,57,174,201,202,202,198,148,157,215,207,210,104,107,102,163,232,185,131,120,82,79,88,94,90,82,77,75,91,72,167,209,203,207,210,196,143,166,216,209,103,105,109,132,197,129,94,86,87,96,102,92,74,71,76,69,75,61,135,221,197,204,204,179,134,111,216,210,104,105,113,124,147,102,85,103,97,83,76,72,64,61,64,60,75,94,101,170,190,190,188,163,109,141,219,211,105,107,113,127,138,138,92,89,72,92,95,102,96,72,61,83,95,103,92,76,101,153,165,143,157,211,215,214,106,106,114,127,144,132,79,80,69,76,152,120,93,84,68,55,55,45,43,43,16,104,219,207,220,217,214,215,104,106,114,127,143,111,82,75,79,61,39,65,42,28,19,15,15,17,16,20,4,75,228,213,214,215,215,217,104,107,114,131,133,94,80,72,68,81,32,6,32,29,21,14,14,15,16,18,6,165,225,211,215,215,217,219,103,106,114,132,116,84,77,69,66,70,64,4,22,31,22,15,14,14,16,8,37,213,213,215,217,218,218,219,103,107,115,129,94,79,75,68,63,67,73,12,7,25,20,16,14,13,18,0,92,233,211,216,218,219,219,220
7,126,134,141,146,149,151,155,160,163,167,169,170,173,174,176,177,179,180,181,181,181,182,182,182,182,183,182,181,125,134,142,147,150,152,156,161,164,167,169,171,174,176,177,179,179,180,182,183,183,183,183,184,183,183,183,182,126,135,143,149,152,153,157,162,165,168,170,172,175,177,178,179,180,181,183,184,184,184,184,183,184,185,184,183,126,134,142,149,153,154,158,162,166,169,171,174,175,177,179,181,182,182,184,184,184,185,186,185,185,186,184,184,127,135,143,149,153,155,159,162,166,170,172,175,176,178,180,182,182,183,184,185,186,186,186,186,186,186,185,186,128,136,143,150,153,154,159,163,167,170,173,175,176,178,181,183,184,184,185,186,187,187,187,187,186,186,186,186,128,136,144,151,153,156,160,164,168,171,173,176,177,179,181,183,185,185,185,186,187,187,188,187,187,187,187,187,128,136,145,151,152,156,161,164,167,171,173,175,177,179,182,184,185,186,187,189,191,190,189,189,188,188,188,188,129,137,145,153,155,154,157,171,178,175,178,183,183,186,185,179,177,182,180,181,180,180,187,190,189,189,190,189,129,138,147,152,152,164,186,198,194,182,178,190,197,198,195,181,181,194,183,175,169,156,174,176,188,191,190,189,131,138,144,159,183,198,199,195,192,178,164,169,178,182,182,167,168,181,177,168,161,154,165,151,187,195,191,190,126,143,175,197,201,195,195,199,191,171,163,176,189,191,196,180,172,179,172,181,179,166,160,168,173,177,189,192,164,194,204,197,200,197,197,199,187,162,151,154,179,184,183,180,182,177,179,186,187,179,175,178,166,178,168,181,204,203,202,201,205,199,199,202,198,151,128,132,131,123,132,145,147,151,154,154,156,159,157,159,154,163,157,183,205,207,205,202,202,200,201,209,186,139,121,125,125,107,93,99,159,175,177,179,176,175,172,172,172,174,184,192,208,205,202,199,201,200,202,200,165,125,124,129,128,122,112,95,177,196,193,195,195,195,196,196,195,197,194,192,201,201,203,201,203,203,204,201,160,118,109,116,131,143,131,105,149,197,189,192,193,193,193,193,192,193,192,192,201,206,205,204,206,206,211,199,152,117,113,88,93,129,130,114,150,196,192,193,194,195,194,193,193,193,193,192,203,200,199,194,189,187,193,164,139,121,118,113,99,119,137,151,183,190,191,192,192,193,192,191,192,191,190,190,190,190,185,177,167,173,170,144,132,127,123,113,113,122,132,137,136,135,135,136,137,135,133,133,133,131,130,129,175,174,168,164,159,157,150,129,124,120,126,120,119,119,118,117,116,116,114,114,116,115,116,117,116,115,112,111,142,152,151,144,133,126,123,124,124,122,124,125,125,125,126,125,123,127,127,124,123,122,120,121,121,120,118,118,125,127,122,117,119,122,124,124,123,123,123,123,123,123,123,123,121,125,126,124,125,121,119,119,118,119,118,119,109,104,110,121,124,125,125,124,124,124,124,124,124,123,123,123,123,122,120,122,123,121,120,119,118,118,119,115,118,110,112,123,125,126,125,125,126,125,126,126,125,124,125,125,124,123,122,123,122,122,121,119,118,120,115,129,130,117,113,119,125,125,125,125,125,125,125,126,124,124,125,124,124,123,123,122,121,121,121,120,120,117,123,193,120,114,115,115,123,125,125,124,125,125,126,126,125,125,124,124,124,124,123,123,122,121,120,121,119,115,185,193,122,118,114,111,123,125,125,125,125,125,124,124,124,123,124,123,123,123,122,122,122,121,121,119,128,171,181,166
4,124,128,131,135,138,142,147,151,152,154,159,160,161,164,167,167,167,168,169,171,172,172,172,171,172,172,171,170,126,130,133,136,140,144,150,153,154,156,159,161,165,165,167,171,174,169,172,173,172,174,174,173,175,174,172,172,127,133,133,137,142,147,151,152,157,159,161,169,163,175,161,121,151,180,169,172,179,175,176,177,177,176,174,175,129,134,135,139,144,148,152,155,157,163,153,146,169,205,177,123,95,160,149,107,156,183,176,178,179,177,176,177,131,135,137,141,146,150,154,153,170,200,161,138,139,202,182,157,117,100,152,99,82,174,182,181,182,180,179,180,133,135,136,141,147,151,158,149,194,234,195,174,117,161,199,158,134,76,138,125,78,131,191,179,181,182,180,181,134,136,137,142,148,153,155,153,184,212,227,196,145,117,206,169,134,69,131,132,83,122,195,182,184,184,183,182,134,137,141,145,151,151,169,179,165,162,180,207,148,82,155,177,115,64,122,131,75,118,195,182,183,184,184,183,136,138,141,146,153,146,201,222,200,184,142,120,116,67,92,131,85,63,101,109,66,132,195,182,186,185,184,184,136,138,142,147,154,148,208,204,199,192,139,70,73,69,55,97,66,36,67,64,55,156,193,185,189,187,186,186,136,138,142,147,154,153,198,134,129,149,105,63,54,84,39,80,88,106,137,75,45,176,191,185,188,188,187,188,139,141,142,148,154,157,190,114,58,106,114,69,52,75,77,102,156,194,172,106,63,138,197,191,187,190,189,188,140,142,143,149,156,156,190,138,105,86,123,86,85,131,142,155,181,190,143,100,90,74,118,183,195,190,191,190,140,142,144,151,157,155,189,157,129,90,82,64,87,162,132,148,158,144,108,94,98,94,79,86,156,198,190,192,141,145,147,152,158,156,185,173,118,80,65,53,45,101,102,105,101,94,81,90,96,97,97,82,72,182,195,191,142,144,148,153,160,156,183,185,131,106,87,72,51,41,67,88,94,83,67,75,94,106,96,91,76,162,200,190,143,144,148,154,160,157,180,199,162,114,93,77,64,57,82,133,139,134,126,103,99,121,98,88,93,180,198,192,142,145,148,155,160,160,177,198,162,127,118,93,77,67,108,169,185,186,177,149,123,114,98,86,128,199,194,195,142,146,149,155,160,161,174,201,165,153,137,100,84,76,118,190,197,190,172,142,119,97,90,93,174,200,195,197,144,145,150,156,160,162,171,195,169,164,138,94,87,85,118,192,184,174,160,136,109,95,86,116,201,197,198,197,146,146,151,156,160,166,169,190,171,156,128,90,93,92,120,177,165,157,150,127,100,95,90,154,206,197,198,198,146,145,150,156,162,168,168,187,173,152,121,93,104,102,135,166,155,152,137,112,95,96,104,186,201,197,199,200,144,146,152,158,163,167,170,181,180,150,117,110,128,112,138,154,147,140,114,97,94,93,142,204,198,200,201,200,146,146,151,158,163,167,172,176,177,149,128,133,133,115,114,131,125,115,96,91,92,107,187,202,201,201,201,200,146,147,152,158,164,168,173,175,181,160,138,133,121,105,92,99,98,92,89,98,92,145,208,202,203,203,202,201,145,147,153,158,163,168,173,175,181,178,136,115,105,93,89,92,91,92,94,100,79,155,210,201,203,202,201,202,147,148,155,159,164,169,174,177,178,183,139,98,86,85,87,96,94,93,94,95,68,133,213,200,202,204,204,204,147,149,154,159,164,168,174,179,178,177,155,108,97,100,101,103,98,91,92,90,73,113,210,201,202,204,205,205
2,179,179,179,178,179,179,179,178,177,176,176,176,176,174,173,172,171,170,171,170,169,168,167,168,166,164,162,161,180,180,180,180,180,180,180,180,180,179,178,178,178,177,176,174,173,172,172,172,171,170,168,168,166,165,163,163,181,181,182,182,181,181,181,181,181,181,180,180,180,179,177,171,169,171,171,173,173,173,171,168,168,166,165,165,182,183,184,184,183,183,183,182,183,183,181,182,181,184,183,170,162,161,156,152,155,162,170,171,170,168,167,167,184,185,185,185,185,185,185,185,185,184,182,182,192,196,185,176,170,161,153,139,127,111,127,170,172,170,169,167,185,186,185,185,186,186,186,185,185,184,184,193,201,198,188,184,183,165,153,151,126,116,96,138,166,171,170,168,187,187,187,186,187,187,187,187,186,185,190,200,200,195,142,122,138,113,108,146,144,132,109,99,109,154,170,169,189,189,189,189,189,188,189,189,188,188,198,198,181,157,104,68,71,68,77,105,123,109,83,76,80,148,174,171,191,191,190,191,191,191,190,189,193,202,207,166,118,93,73,60,60,76,151,153,158,138,105,93,121,170,174,172,192,193,193,192,192,193,191,195,209,214,197,148,103,74,56,54,65,121,182,183,183,181,174,168,173,175,174,174,193,194,195,194,194,193,194,206,215,208,175,135,104,82,66,61,111,173,184,184,183,181,181,181,179,177,175,175,195,195,196,195,194,191,204,216,209,180,137,104,88,74,66,114,181,186,186,186,183,182,181,182,181,178,176,174,197,197,197,196,193,204,222,215,197,174,126,77,67,68,75,162,189,187,187,186,185,184,183,182,181,178,177,175,198,198,198,194,205,225,222,203,184,171,124,84,66,63,111,187,190,189,189,188,187,186,185,182,182,181,179,177,200,200,196,206,227,225,209,194,188,151,109,81,60,59,160,195,192,189,190,190,188,187,186,184,183,182,179,178,202,200,202,226,230,219,202,198,175,134,103,70,58,58,143,196,193,191,192,191,190,189,188,183,174,174,181,179,202,202,223,233,228,212,198,186,158,124,90,55,56,59,83,171,195,193,193,192,191,188,169,151,144,130,158,181,202,217,234,229,219,204,190,177,148,107,74,55,60,62,64,114,194,194,195,193,186,153,133,143,142,110,142,182,213,234,230,220,208,197,182,164,131,91,68,66,73,75,71,79,161,194,179,148,120,119,136,137,109,134,177,181,228,236,225,213,198,183,169,150,113,85,70,80,88,89,84,75,89,126,106,102,96,114,127,102,116,181,185,184,142,200,215,203,190,174,160,137,108,84,77,90,94,93,86,80,75,86,89,104,111,108,98,75,163,188,187,186,70,97,153,171,167,160,145,129,101,77,79,94,92,91,87,82,80,90,97,102,103,89,73,106,185,189,187,186,67,64,72,108,126,118,110,92,73,69,74,87,87,85,81,80,82,88,92,90,86,103,141,179,192,190,189,188,61,63,60,62,71,72,65,55,57,61,64,75,78,76,71,71,68,72,90,124,159,186,195,195,194,193,190,189,60,59,58,61,58,40,41,45,44,46,52,60,59,61,80,98,110,141,179,197,200,200,197,195,194,192,191,189,59,55,55,54,60,41,20,28,28,29,44,67,93,136,180,197,200,203,203,202,201,199,198,197,195,193,192,190,57,54,53,51,60,52,16,18,22,19,63,160,201,208,209,208,206,205,204,203,202,202,200,198,196,195,193,191,53,50,48,47,54,53,17,14,17,16,19,70,187,211,208,209,208,207,206,205,204,202,202,200,197,196,194,192
1,77,1,46,62,69,79,99,118,130,137,142,146,148,152,156,161,168,165,168,171,173,174,174,177,178,176,178,178,66,1,53,62,70,81,102,120,132,139,144,146,150,153,164,159,125,170,174,172,173,175,175,177,178,179,179,179,52,5,58,63,72,84,108,124,133,140,147,149,152,152,182,162,76,148,150,174,175,177,178,179,179,179,179,179,39,12,60,63,74,85,111,127,134,141,149,149,161,151,171,157,90,147,98,165,181,179,181,181,181,181,181,181,26,18,62,65,76,88,114,128,137,144,151,147,183,137,144,149,98,163,98,153,186,179,182,183,183,183,182,183,13,27,62,67,77,92,117,130,138,145,151,152,189,123,154,152,103,165,98,140,190,180,184,184,185,184,184,185,3,35,63,68,79,95,119,130,138,145,153,157,193,107,149,147,100,170,108,136,191,182,185,186,187,187,187,187,1,44,66,70,81,99,122,132,141,146,173,137,176,101,154,148,99,159,105,132,195,185,188,189,188,189,188,190,3,50,65,71,83,102,123,134,139,161,166,114,164,105,181,149,97,171,114,125,197,187,190,191,191,191,191,190,8,55,66,72,82,104,124,135,138,183,144,108,155,112,191,135,105,198,123,127,197,188,192,192,192,192,193,193,14,59,66,74,85,108,126,136,145,197,120,128,163,111,164,106,104,189,109,132,198,190,194,195,194,195,196,195,20,62,67,75,87,109,128,135,156,197,101,127,140,93,151,90,123,182,100,136,200,192,196,195,196,197,196,197,27,64,67,77,88,110,129,131,171,195,95,111,148,141,138,164,170,170,98,140,202,194,197,197,197,198,198,198,34,66,69,78,90,114,130,132,189,175,109,117,177,161,136,166,156,155,93,137,206,195,199,200,199,199,199,199,40,67,70,79,93,117,129,136,202,186,165,158,189,181,166,147,134,126,87,136,207,195,199,200,201,201,201,201,45,66,70,79,93,119,126,153,215,168,157,161,150,150,190,186,161,132,82,134,207,196,200,202,203,204,203,203,53,67,73,81,95,121,122,179,206,143,120,116,87,113,185,183,175,154,93,126,210,196,200,203,203,204,204,204,58,67,74,83,98,125,124,194,196,143,139,146,135,185,197,185,158,137,90,93,207,201,203,204,204,205,206,205,61,67,74,82,100,126,126,193,203,160,144,150,190,226,203,177,143,104,85,67,185,208,204,206,206,206,207,206,63,67,75,83,102,125,126,185,216,178,157,149,191,230,205,164,135,92,74,64,181,211,205,207,208,207,207,207,66,68,77,84,103,124,128,173,218,178,161,151,180,221,195,159,123,93,66,85,205,206,207,209,208,209,210,210,66,69,78,86,106,126,133,162,210,176,168,155,163,204,186,153,114,92,60,140,217,206,209,209,211,211,211,212,67,69,79,86,107,126,137,151,198,182,178,167,183,197,165,133,102,82,71,188,210,210,211,211,213,213,213,212,66,69,78,87,109,126,137,147,181,182,175,160,171,179,145,115,98,72,96,211,209,212,212,212,213,214,215,214,66,70,77,85,109,125,138,147,164,179,169,158,143,147,133,110,100,65,117,216,208,212,213,215,215,215,215,215,66,69,77,84,108,122,136,147,153,177,170,155,145,144,143,123,98,61,147,214,205,209,212,213,214,214,214,213,66,68,75,84,108,122,135,143,176,184,174,171,158,145,135,121,90,59,163,214,205,209,212,213,214,214,214,214,66,67,74,84,108,121,135,146,204,198,147,172,160,141,114,102,88,52,145,215,204,210,212,214,215,214,214,215
21,154,157,158,160,162,164,165,167,169,170,170,170,168,173,171,171,172,172,170,171,171,171,173,172,170,169,169,167,155,158,160,162,164,165,167,169,170,171,170,177,184,156,172,175,174,174,173,173,173,173,173,173,172,171,171,170,157,159,162,164,166,168,170,170,171,174,171,187,210,149,150,180,175,176,176,175,176,176,174,174,175,175,173,171,158,161,163,165,167,169,171,172,173,176,176,174,210,177,127,174,179,177,178,177,177,177,176,178,170,166,175,172,159,162,164,166,168,170,172,174,176,177,178,174,194,202,151,156,182,178,179,178,179,179,176,196,160,129,179,174,160,164,166,168,169,171,174,176,177,177,178,177,182,217,185,143,176,182,181,181,181,178,183,203,149,133,182,175,162,165,167,169,171,173,175,178,178,179,179,181,178,212,200,144,159,185,181,181,182,177,196,198,135,153,183,176,164,166,169,170,172,175,176,177,179,180,180,182,177,202,210,158,145,186,182,182,183,183,208,185,133,172,183,180,165,167,170,172,175,176,177,179,180,181,182,183,180,193,207,176,137,183,185,185,181,194,201,164,131,184,181,181,166,169,171,174,176,177,179,180,182,183,184,181,192,217,199,182,123,150,191,182,186,206,192,137,149,189,181,181,167,170,172,175,176,178,180,181,182,183,183,188,197,214,202,179,146,121,175,189,195,208,183,128,178,188,184,182,168,170,173,176,178,180,181,182,183,185,187,220,193,185,218,194,187,176,144,168,188,193,153,139,192,185,185,184,169,172,175,177,180,181,182,183,186,185,195,205,205,189,175,182,210,196,141,119,156,158,123,165,192,186,187,186,170,173,175,177,180,182,183,184,187,183,198,197,174,143,102,111,188,196,154,115,126,129,121,187,189,188,188,187,171,174,175,178,181,182,184,187,188,185,201,193,142,141,126,109,144,211,177,130,109,111,132,195,189,189,188,187,172,175,176,180,181,183,186,187,189,186,205,201,187,168,134,135,131,205,198,146,109,99,147,198,190,191,189,189,173,176,178,181,182,185,186,188,190,187,215,216,179,153,137,152,149,206,213,167,123,95,152,200,190,192,192,191,174,177,180,181,183,186,186,188,191,189,218,201,161,149,154,167,176,222,213,178,139,101,147,201,190,192,192,191,174,177,179,182,184,187,188,189,191,191,216,205,179,173,172,174,200,225,206,177,142,102,147,201,191,192,192,192,173,176,179,181,184,186,187,188,191,188,217,215,189,176,181,187,211,225,204,170,148,105,145,202,191,193,192,192,175,178,180,182,185,187,187,189,192,188,214,221,199,177,185,196,221,224,208,172,147,108,148,203,192,193,193,192,176,179,182,184,186,187,188,191,193,189,211,224,201,187,186,205,225,216,202,169,145,106,153,203,194,194,194,193,177,179,182,183,186,187,190,191,194,193,207,225,205,203,195,208,225,214,195,170,140,104,148,206,195,197,196,196,177,180,182,186,187,189,192,193,195,195,200,224,213,212,207,203,220,203,188,168,134,102,145,207,196,198,196,196,178,181,183,186,187,190,193,194,196,196,195,215,219,215,209,198,207,190,177,164,129,98,150,207,197,197,200,199,173,177,180,183,187,190,192,193,196,198,195,208,223,214,198,182,191,183,168,168,125,91,175,212,203,206,189,141,130,131,134,137,139,140,143,145,145,145,146,163,221,206,183,161,170,183,166,165,116,91,160,170,168,172,123,102,108,109,110,109,108,110,112,111,109,113,101,89,205,191,166,153,165,184,157,156,104,79,93,107,114,115,96,97
14,137,142,147,150,154,156,158,161,164,166,168,170,173,173,173,173,176,177,180,181,182,182,182,184,184,184,185,185,139,143,147,151,155,158,160,163,165,166,170,171,175,175,177,179,181,182,181,182,182,184,184,185,185,185,186,186,140,144,150,154,156,158,161,164,166,166,169,170,171,179,155,151,166,169,183,187,188,185,185,186,186,184,188,188,142,145,150,154,157,159,163,166,167,166,175,178,179,170,110,100,151,157,175,151,164,192,187,186,186,185,188,188,142,145,150,154,157,161,163,165,167,186,189,170,146,125,105,94,137,162,152,96,130,200,186,190,190,190,190,190,143,148,152,156,158,162,163,169,201,202,166,104,82,88,103,101,113,123,120,84,84,183,192,190,192,192,191,191,145,148,153,158,161,163,162,207,207,168,124,74,50,59,84,98,129,121,128,135,108,145,188,191,193,193,192,192,145,148,154,158,163,160,174,220,161,104,69,78,67,84,96,63,86,111,117,149,159,125,137,201,191,193,193,193,146,151,156,159,163,158,201,204,128,70,63,76,69,104,93,72,95,111,125,114,121,90,96,198,194,193,195,195,148,153,157,159,161,166,220,177,116,63,60,60,62,83,69,98,117,76,120,141,130,118,106,134,200,197,195,196,148,152,156,160,157,188,215,149,84,57,68,75,74,60,65,106,103,91,184,201,187,150,126,101,152,189,197,195,148,154,157,163,160,210,186,125,86,81,75,82,78,80,85,74,92,173,198,193,197,197,159,153,116,176,202,196,149,155,159,159,178,223,175,128,107,82,74,78,78,88,94,68,152,205,192,193,199,181,166,149,112,199,198,198,149,155,161,157,207,220,168,124,94,77,72,72,76,87,80,101,198,193,196,196,198,168,170,115,142,209,196,199,149,155,161,158,215,205,159,123,83,70,70,74,82,85,66,125,204,190,196,200,192,160,162,95,147,211,198,200,150,156,161,160,221,201,150,106,73,70,73,78,84,73,63,104,198,199,199,198,151,155,157,100,127,211,197,200,150,157,158,170,227,188,149,110,79,72,77,82,86,85,93,98,139,187,189,167,163,165,152,97,140,211,198,200,151,158,156,184,228,184,147,108,81,71,75,88,92,102,118,129,119,115,143,166,177,170,125,126,200,201,200,200,151,159,153,198,224,180,145,107,83,74,77,88,99,114,129,140,143,130,166,172,171,137,130,202,204,201,201,201,151,159,154,208,215,178,146,114,89,76,79,92,115,130,144,144,146,140,159,167,131,128,200,206,203,204,202,202,151,158,157,217,206,175,145,117,96,79,78,103,134,147,157,156,145,141,136,127,114,197,206,202,204,204,202,202,152,157,163,216,196,172,143,123,99,81,79,112,151,155,154,155,150,138,99,102,190,204,201,204,204,204,204,204,152,156,170,213,187,165,147,128,103,85,81,122,157,151,151,150,151,112,109,190,206,201,203,205,204,204,204,204,155,155,178,209,179,167,155,130,110,91,86,121,157,150,135,144,123,110,197,207,201,204,205,205,205,205,204,204,154,153,190,211,180,175,158,131,112,99,84,109,145,137,123,124,106,183,208,202,204,204,205,205,205,205,205,205,152,153,208,212,187,180,157,131,113,98,83,100,126,117,123,93,170,207,201,204,204,204,204,205,205,205,205,205,153,161,223,204,195,178,143,121,105,88,86,100,107,100,115,166,207,198,202,205,205,205,206,206,206,206,206,206,147,182,222,192,190,166,123,110,97,86,94,96,87,104,175,207,199,200,202,205,206,206,206,206,206,206,206,206
4,192,194,195,196,196,197,198,198,198,198,200,200,199,200,200,200,200,199,199,200,199,199,200,199,199,200,198,198,194,196,196,197,197,199,199,199,200,200,200,200,201,201,202,201,203,205,201,201,201,201,202,201,201,201,201,200,197,197,197,198,200,200,201,201,201,201,201,200,200,202,206,195,174,183,205,203,205,201,203,203,203,202,203,203,198,198,198,200,201,201,202,202,201,201,203,188,174,184,228,203,173,132,196,208,204,208,203,205,204,203,203,204,200,200,201,202,202,203,203,204,204,207,229,202,194,162,221,214,184,147,154,185,173,184,211,205,207,204,206,206,201,202,202,204,205,204,203,203,194,198,227,227,193,165,188,224,181,156,111,177,172,134,188,212,207,208,208,207,202,203,203,206,207,205,205,213,207,197,169,216,210,173,165,226,188,154,106,181,182,140,132,216,209,210,210,210,203,204,206,207,208,205,211,226,219,208,143,146,215,167,142,224,196,151,100,181,185,146,113,206,212,211,211,211,205,206,207,207,208,206,215,207,201,193,135,123,186,164,138,187,174,131,101,186,182,141,110,205,216,212,212,212,206,208,209,209,209,208,216,208,184,193,132,108,185,173,151,153,137,102,98,184,165,118,121,214,215,213,213,213,207,208,209,211,211,208,212,215,175,185,148,113,170,185,180,166,166,140,107,151,141,110,124,220,213,216,214,214,207,208,210,211,213,212,213,227,208,174,159,117,127,196,204,206,195,179,137,110,124,107,138,225,214,217,216,216,209,210,212,213,214,213,214,227,210,179,141,105,100,165,199,205,204,177,138,102,108,102,156,228,215,216,216,217,210,211,213,214,215,212,216,226,192,157,141,123,105,95,146,191,194,171,142,115,106,100,169,229,216,217,217,218,211,213,214,214,214,212,219,219,187,159,138,123,109,107,111,136,177,176,159,127,110,95,173,227,216,219,218,218,212,213,215,215,215,213,221,227,202,172,148,134,123,116,136,121,175,201,174,141,119,94,182,228,218,220,220,218,213,213,214,216,216,214,223,225,201,160,138,133,123,113,142,178,212,215,198,162,132,97,173,231,219,220,220,220,213,215,215,216,216,216,224,224,194,164,144,132,139,127,164,214,228,219,213,174,142,112,135,232,219,222,222,221,215,215,216,217,218,218,225,221,196,166,151,141,161,137,189,229,233,216,196,166,143,118,137,232,221,222,222,223,215,215,216,217,219,219,225,219,198,169,159,161,160,152,210,231,226,212,190,155,139,110,160,234,223,224,223,223,215,216,218,218,218,218,221,217,196,176,167,166,156,158,216,230,214,192,179,143,127,105,188,231,223,224,222,223,216,217,218,218,219,220,219,214,192,173,157,176,154,159,216,226,201,176,163,134,118,113,214,228,224,224,221,222,216,218,220,219,221,221,217,211,195,173,177,192,150,159,222,217,190,164,147,126,114,136,231,224,225,226,225,225,216,219,219,219,222,222,220,207,196,182,175,192,157,160,222,196,177,154,134,122,107,173,235,225,227,226,226,226,216,217,218,219,220,222,221,211,201,185,172,187,161,164,211,182,165,139,126,120,110,207,232,227,228,227,226,226,216,216,216,217,219,219,214,223,210,187,172,170,154,150,201,175,148,134,122,116,125,225,227,227,227,227,227,227,216,217,217,217,220,212,216,230,209,184,169,153,137,144,180,156,133,127,123,106,168,233,226,227,227,227,227,227,216,217,218,219,220,209,226,222,207,195,174,143,139,155,175,131,132,121,116,128,218,228,226,226,226,226,226,226
1,153,156,159,160,163,165,166,167,168,169,169,169,170,170,170,171,170,170,170,169,170,170,171,170,169,169,168,167,156,159,162,163,165,167,168,169,169,171,171,172,171,172,172,172,173,173,173,172,173,173,173,173,173,171,170,170,158,162,164,166,168,170,171,172,172,173,174,174,174,174,177,177,174,177,176,175,176,176,176,176,175,174,173,173,160,164,167,168,171,172,174,174,175,177,176,177,178,180,161,168,180,177,178,177,178,178,178,178,177,177,176,174,163,166,169,172,174,175,176,177,178,178,177,180,172,187,154,131,193,181,178,179,179,180,180,180,178,178,178,176,165,168,172,175,176,178,179,179,179,180,178,193,166,155,165,112,155,166,184,180,182,182,182,181,181,180,179,178,167,171,174,177,178,179,180,181,180,182,180,197,166,150,175,107,142,123,186,183,185,185,185,184,183,183,182,180,170,174,175,178,180,182,183,184,184,185,179,200,174,146,190,123,152,122,168,190,185,185,186,186,185,184,184,183,173,175,177,180,182,184,185,185,185,190,168,164,193,136,189,134,150,139,148,195,187,188,187,186,187,186,185,184,175,178,180,182,184,185,185,188,186,197,166,137,198,132,177,147,161,176,133,192,190,191,190,190,189,188,187,185,176,179,181,184,185,186,188,190,187,201,170,142,195,136,179,164,146,188,132,177,195,191,192,191,191,190,189,188,177,180,182,184,186,188,190,190,189,205,172,148,211,150,171,177,132,192,148,156,201,192,193,192,192,191,190,190,178,182,184,185,188,189,190,193,191,203,170,141,206,136,139,178,120,195,168,140,200,194,195,194,193,194,192,191,179,183,185,187,189,190,192,194,192,203,184,126,181,145,140,169,139,178,162,132,192,197,196,196,195,194,193,192,180,183,186,188,190,192,194,195,193,208,174,125,159,198,161,160,189,162,142,125,176,203,195,196,197,196,195,194,180,184,187,189,191,194,195,195,195,203,180,176,143,170,175,196,190,153,142,126,142,207,196,198,198,197,197,196,181,184,188,191,192,194,195,195,199,201,182,176,141,155,204,202,186,194,158,125,115,200,200,199,200,198,197,197,182,185,188,191,194,195,195,195,201,207,171,154,161,184,181,155,152,217,204,167,108,183,205,199,201,201,200,199,181,185,189,191,193,196,195,196,202,219,174,149,149,142,133,138,176,202,201,173,133,161,210,200,201,201,200,200,183,185,188,190,191,194,195,195,199,225,190,145,156,155,175,204,214,194,184,157,116,148,211,200,201,201,200,201,183,185,188,191,192,194,196,196,197,221,211,153,171,164,201,218,214,200,176,151,100,148,212,200,202,201,201,201,183,185,189,191,193,195,196,197,197,219,222,167,182,167,193,222,221,201,167,141,99,155,212,200,202,202,201,201,183,185,188,190,192,195,196,198,196,212,221,185,194,176,180,226,220,191,160,131,100,177,210,202,203,202,202,201,185,188,192,193,194,196,198,198,197,203,218,204,195,185,166,221,214,184,154,122,101,193,207,204,203,203,203,202,171,175,179,184,187,192,193,194,198,196,214,218,197,181,156,204,207,174,145,114,115,210,211,212,208,203,202,204,112,114,115,119,123,124,126,129,133,129,199,212,187,174,154,180,192,162,134,115,122,178,175,175,190,209,205,200,113,113,113,113,113,114,114,113,115,105,180,203,181,171,151,164,182,159,127,115,111,107,128,171,195,194,202,200,114,117,123,121,120,119,117,117,120,111,177,202,184,166,156,163,181,153,115,110,129,177,212,214,193,170,170,197
4,168,169,172,173,174,176,179,183,184,186,187,188,189,192,194,194,196,197,199,200,201,201,201,199,201,202,204,205,167,169,172,174,175,178,180,183,185,187,187,189,191,190,193,195,196,198,199,200,202,202,203,204,204,204,204,206,168,171,174,174,178,179,181,184,185,186,187,189,194,191,189,191,200,197,199,199,201,203,204,206,206,206,206,206,168,171,175,176,178,179,182,184,187,195,189,177,180,210,195,165,158,202,197,205,203,202,205,206,206,205,208,208,169,172,176,179,180,178,179,183,187,199,209,186,129,172,206,156,114,141,169,151,194,206,206,208,207,208,209,209,171,175,176,179,178,181,218,204,177,130,194,187,123,130,192,144,102,110,154,104,139,218,206,208,209,208,208,208,172,175,178,180,174,203,247,216,162,113,167,185,125,107,187,178,98,111,160,118,124,216,206,208,210,210,209,210,172,174,179,183,177,220,207,221,172,120,138,203,143,80,179,196,108,111,187,124,121,222,205,209,212,212,211,212,173,177,179,181,180,231,188,186,200,143,94,201,155,52,130,210,163,131,159,131,132,191,212,210,212,212,212,213,175,177,180,180,187,229,189,166,156,122,68,113,127,53,86,195,174,155,146,151,152,132,207,212,212,213,214,215,176,178,183,178,196,227,196,176,151,128,115,91,123,108,104,158,178,174,158,142,155,149,172,220,211,214,215,217,177,179,184,175,222,225,189,160,150,135,115,120,149,126,138,154,167,159,136,162,196,166,141,218,213,215,216,217,177,180,183,181,234,214,182,154,137,117,111,128,149,139,156,178,156,117,156,215,201,182,133,204,219,216,218,217,178,183,181,192,246,210,184,156,142,123,120,132,143,156,167,186,187,192,188,187,185,175,133,176,225,216,217,217,179,183,180,199,250,213,190,165,139,125,121,136,154,170,175,191,211,209,197,184,164,145,124,137,226,217,217,217,180,183,178,208,255,214,195,174,144,126,128,132,159,179,200,209,212,202,196,179,159,137,110,118,224,219,219,218,182,185,175,215,255,212,200,178,159,141,138,136,170,202,219,217,207,193,187,175,153,132,105,127,228,220,221,220,180,187,176,220,255,222,207,191,176,150,143,162,185,221,226,218,207,191,175,164,143,127,96,177,231,217,222,223,185,189,178,215,255,232,215,201,190,171,156,182,190,215,222,213,205,190,170,150,126,106,116,224,221,220,222,223,186,186,182,204,255,240,223,204,196,182,169,181,195,215,219,208,204,193,168,141,116,90,183,229,219,222,222,223,184,187,186,191,255,246,221,201,191,180,177,183,198,218,218,200,196,193,166,149,106,132,230,220,221,221,222,223,186,187,187,185,255,247,214,206,196,188,188,191,205,211,204,194,182,179,170,144,105,207,227,223,223,222,223,224,185,188,187,186,255,240,214,219,208,200,196,193,201,205,189,183,172,169,162,112,170,231,220,223,223,222,223,225,186,188,186,193,255,227,221,228,215,213,205,193,198,200,186,175,164,152,121,150,227,222,221,223,223,223,225,226,186,189,183,203,255,239,227,222,215,219,210,191,189,191,181,167,151,121,131,227,221,222,223,223,224,225,225,226,185,188,181,212,255,251,222,214,218,224,210,182,180,178,174,156,137,100,199,225,220,222,223,223,224,225,225,226,185,188,180,225,255,251,221,211,219,219,202,179,169,173,167,148,111,132,232,218,220,221,223,224,224,224,225,226,186,190,180,233,255,252,218,209,215,213,196,177,166,178,160,138,97,176,231,220,221,223,225,225,225,224,225,226
5,157,158,158,159,160,162,162,162,163,163,164,164,163,164,165,164,164,164,162,162,161,159,158,157,158,156,154,154,160,160,161,162,164,165,165,165,166,166,167,167,167,165,151,164,166,166,165,165,164,163,161,160,159,158,158,157,165,165,165,166,167,168,169,168,170,171,171,171,171,174,124,150,171,170,169,168,167,166,165,164,163,162,161,158,167,168,169,170,171,171,172,172,174,174,171,149,162,184,125,133,176,173,172,171,171,170,169,168,167,166,164,163,171,172,173,174,175,176,176,177,178,177,179,138,137,187,125,119,180,177,176,174,174,172,172,171,170,169,167,166,174,175,176,176,178,180,180,180,181,180,188,147,124,185,122,118,183,180,179,178,177,175,175,174,174,172,170,169,177,177,179,180,181,181,177,179,183,183,193,152,116,184,130,124,186,183,182,183,181,179,178,177,177,175,173,172,180,181,182,184,184,184,157,153,187,185,196,158,115,180,126,130,189,186,186,185,185,183,181,180,179,177,176,175,183,184,185,186,186,190,161,125,186,187,198,160,108,175,117,134,191,188,187,178,159,177,185,183,181,180,180,179,185,187,188,188,189,194,173,110,184,190,196,157,97,175,132,137,192,188,189,178,141,147,188,186,184,184,183,182,187,188,189,190,192,194,176,107,181,193,193,167,100,160,142,139,193,184,173,160,173,149,166,187,188,186,185,183,189,190,191,192,194,195,191,119,167,195,191,176,101,134,145,145,190,187,149,99,160,156,134,187,190,188,186,186,192,192,193,195,195,197,197,146,146,194,191,180,104,124,144,144,183,183,144,138,173,137,152,193,193,190,188,187,193,194,195,195,197,196,192,189,159,168,181,169,125,135,133,127,162,164,141,183,172,119,182,194,193,192,190,189,194,196,197,198,199,199,188,200,184,156,154,150,130,131,126,126,161,159,151,191,151,113,194,196,195,194,193,193,197,199,199,200,200,201,197,199,206,172,145,140,120,122,123,127,158,156,165,195,128,116,200,198,197,196,195,194,198,199,200,202,202,202,203,202,220,190,137,125,110,109,119,132,155,151,169,198,127,135,203,199,198,198,197,195,199,200,201,202,202,203,203,206,223,196,138,106,104,104,118,145,161,145,162,196,133,147,204,200,200,200,199,196,200,201,202,203,204,204,204,206,221,194,144,105,103,106,135,155,176,177,158,185,133,151,206,202,201,201,200,197,201,202,203,205,206,207,206,204,218,191,148,108,99,116,149,169,190,192,163,155,112,147,208,204,202,201,200,200,202,203,204,206,207,207,208,203,217,194,153,109,101,125,163,186,190,187,160,118,84,139,209,206,204,203,201,201,203,205,206,207,208,209,210,203,213,195,155,113,103,126,174,197,194,175,138,92,75,166,209,207,207,205,202,202,204,207,207,208,209,210,211,203,204,193,153,117,109,125,183,199,183,156,118,77,126,206,209,208,208,206,203,202,206,207,207,208,209,211,211,200,193,190,153,126,115,125,179,185,167,138,98,94,193,213,209,209,208,207,204,203,205,206,207,208,209,211,213,202,188,182,148,135,117,124,165,172,155,118,79,150,214,213,211,210,209,208,206,204,204,205,206,208,208,209,211,203,185,175,148,136,113,118,153,157,131,86,108,204,214,213,210,210,209,208,207,205,204,205,207,208,208,210,212,202,189,177,149,134,115,106,135,123,92,90,184,214,212,212,210,210,209,208,207,205,205,207,208,208,209,210,212,199,192,170,134,126,113,99,115,93,75,158,215,213,213,212,211,211,209,208,206,205
11,149,153,157,160,162,164,166,168,170,172,173,174,175,177,179,179,180,181,181,182,184,184,184,185,185,184,184,183,150,154,158,160,162,166,168,169,171,173,174,175,178,179,180,181,181,183,184,185,185,186,186,186,186,186,185,185,151,155,158,161,163,166,168,170,172,173,175,176,179,179,180,181,182,184,185,185,186,186,187,186,187,187,186,186,152,156,159,162,164,166,167,170,173,174,176,177,179,181,181,180,185,185,186,186,187,186,187,187,187,187,188,188,153,157,161,163,165,167,169,172,174,176,178,178,180,181,185,170,154,188,186,188,188,188,188,188,188,188,189,189,154,158,161,164,166,168,170,173,175,177,178,180,181,181,188,176,125,183,189,188,188,190,190,190,189,189,190,189,154,158,161,164,167,169,171,174,176,178,180,180,182,181,195,170,124,184,190,190,190,190,190,190,190,190,190,189,154,159,163,165,167,169,172,175,177,179,181,181,182,182,202,151,132,193,188,190,191,190,191,191,191,191,191,191,155,160,163,166,168,169,172,175,178,180,181,183,182,189,203,141,147,196,190,191,192,192,192,192,192,192,191,191,156,160,163,167,168,170,173,175,178,180,181,182,181,199,181,128,164,195,191,192,193,193,193,193,193,192,192,192,157,161,163,167,169,171,173,175,179,180,179,180,184,204,147,124,182,192,191,192,192,193,193,193,193,192,192,192,157,161,164,167,170,171,175,176,176,176,191,189,151,162,134,137,195,191,192,192,192,193,193,193,193,193,192,192,157,161,165,166,169,174,168,177,193,161,164,179,140,121,121,164,197,191,193,193,193,193,193,193,193,193,193,192,157,161,164,183,201,193,161,132,187,157,125,159,137,113,116,186,192,191,193,193,193,194,194,194,194,194,194,194,157,157,180,189,178,194,161,123,173,140,135,171,130,103,131,197,191,192,193,194,194,195,195,195,195,194,194,194,156,163,182,170,156,184,156,126,168,126,147,164,122,98,150,200,191,193,194,193,194,195,196,196,196,196,195,194,153,173,188,155,134,170,149,122,154,121,156,147,111,97,162,198,191,193,193,194,195,195,195,196,196,196,195,194,154,190,186,158,138,156,123,126,137,116,150,131,105,94,169,198,191,194,195,196,195,198,198,195,196,195,195,195,164,203,179,160,139,139,115,136,117,122,164,113,96,99,150,196,192,189,184,177,173,170,185,200,195,196,195,195,180,204,173,159,141,128,124,150,95,103,142,102,119,135,136,165,178,183,182,175,167,151,141,167,199,196,195,195,182,196,177,164,149,133,131,141,130,143,152,162,166,163,168,175,180,176,164,150,144,150,144,122,186,199,196,196,177,194,181,170,154,141,149,170,183,179,176,176,173,161,165,166,144,141,154,165,182,192,183,167,191,198,196,196,179,200,181,173,156,145,159,183,177,170,175,171,164,142,134,133,157,185,198,201,200,199,200,201,198,197,197,196,193,200,175,166,149,146,159,175,169,168,170,157,135,117,144,182,199,198,196,196,196,197,197,197,198,198,197,197,201,174,161,154,149,151,157,160,165,162,149,119,120,165,195,197,195,195,196,197,197,198,198,197,197,198,198,198,200,170,159,160,158,155,155,148,152,137,111,139,185,196,192,193,196,196,196,197,198,198,198,197,198,199,198,197,195,181,152,170,170,157,150,135,129,115,157,191,189,188,190,192,194,194,193,195,196,196,197,197,195,196,197,201,194,183,148,176,172,152,137,125,109,152,192,184,186,188,190,191,192,194,194,194,195,195,196,196,205,212,213,213
24,202,204,205,205,206,207,207,208,207,207,207,207,207,207,206,205,204,201,201,202,200,198,197,197,195,193,191,189,206,207,208,209,210,210,210,210,211,211,210,211,210,210,210,210,209,207,205,204,202,202,201,198,197,196,195,192,210,211,212,213,213,212,214,214,214,213,213,213,213,213,213,212,211,210,209,207,206,204,205,206,201,200,198,196,213,213,215,216,217,217,218,217,216,216,216,216,216,217,216,214,213,212,211,210,210,210,188,182,209,202,201,200,216,217,218,218,218,219,219,219,219,218,219,218,218,219,218,218,217,215,214,214,211,216,180,128,208,206,203,201,219,219,220,221,222,221,221,222,222,227,222,220,220,220,220,218,218,218,217,217,212,223,184,124,206,210,206,203,222,222,222,224,226,224,225,227,215,181,224,225,224,224,224,222,220,220,219,218,215,226,175,128,213,212,209,206,224,225,226,226,226,226,226,228,207,135,180,236,226,228,227,226,225,223,222,220,221,230,165,138,220,212,212,209,226,227,227,228,229,227,227,231,208,158,135,234,228,230,230,229,227,226,225,220,229,229,158,151,226,213,213,211,228,229,230,231,231,231,231,232,226,183,120,213,236,229,231,229,227,227,227,227,236,211,134,167,230,216,217,214,230,232,232,233,233,234,233,232,234,201,125,180,245,230,232,234,235,231,227,215,239,203,113,191,229,220,220,217,232,233,234,234,234,234,234,234,236,218,157,140,243,233,236,217,198,228,217,157,148,190,125,220,226,223,221,218,234,235,236,236,236,236,236,236,239,226,179,113,217,243,224,201,173,171,180,158,120,126,143,235,225,226,223,221,235,237,237,238,239,239,239,239,240,234,192,128,173,251,212,214,188,175,162,178,177,92,157,241,225,227,225,223,238,239,240,240,241,240,240,240,240,238,213,173,135,219,197,227,189,178,181,185,168,95,183,241,228,228,226,224,240,241,241,241,242,241,241,241,240,241,228,189,127,163,169,221,211,147,132,164,186,118,157,245,229,231,228,226,240,241,242,242,243,243,243,242,244,246,235,207,189,160,150,185,210,136,71,155,205,146,111,232,233,231,229,227,241,243,245,245,245,245,245,245,244,247,236,233,209,147,111,158,189,118,79,136,214,191,113,165,245,230,231,231,244,246,247,247,247,247,248,247,246,248,240,230,187,145,122,160,175,118,96,211,227,209,134,119,242,232,232,231,247,247,248,248,249,249,249,249,249,249,247,230,209,196,151,156,191,134,170,241,221,190,117,130,244,233,233,232,247,248,248,248,250,251,250,250,251,251,251,230,224,213,158,153,151,162,242,234,202,177,98,153,251,234,235,234,246,248,248,249,250,250,250,250,250,251,253,227,224,225,184,156,132,225,245,227,194,167,95,179,252,233,235,234,247,248,248,250,250,249,249,250,251,252,252,233,216,214,198,169,140,225,235,216,187,153,93,201,246,234,235,233,248,249,249,250,250,250,251,252,253,251,254,235,210,209,206,189,147,207,238,209,172,131,95,223,243,235,235,233,249,249,249,250,251,252,253,252,254,253,255,244,213,214,207,207,158,186,232,198,157,105,116,248,239,239,236,234,250,250,250,252,253,253,253,251,252,255,253,254,224,219,207,211,161,151,207,166,130,77,157,255,237,239,237,236,244,247,249,252,254,255,255,255,255,255,255,255,234,222,210,198,164,141,167,153,112,77,214,251,241,242,243,228,159,163,167,171,174,180,186,189,193,198,202,205,223,227,203,188,179,150,154,161,93,119,241,233,234,222,171,116
1,48,66,69,74,81,97,115,127,132,139,144,148,153,161,157,163,164,166,167,168,168,170,171,171,171,171,172,170,55,67,71,76,82,100,118,130,136,142,149,152,163,176,130,156,165,169,170,171,171,171,172,172,172,172,172,171,62,68,72,77,84,103,122,134,140,147,155,157,172,184,113,122,133,160,177,177,176,176,176,175,174,174,173,173,67,69,74,78,86,106,126,137,143,151,178,158,149,186,113,111,124,128,182,182,182,183,182,181,179,178,177,176,70,71,75,80,88,110,128,139,146,155,192,160,125,179,112,106,133,104,176,188,188,188,187,186,184,183,182,181,71,72,76,81,92,114,132,143,150,158,195,165,115,165,114,103,135,97,165,195,193,193,193,191,190,189,187,186,72,73,77,82,95,118,136,145,153,163,196,166,104,154,126,109,143,106,153,201,199,198,198,197,195,194,193,192,73,74,78,83,99,122,139,148,160,175,178,167,101,128,120,106,148,112,143,206,204,203,203,202,200,200,199,198,74,74,79,84,102,126,143,150,174,177,160,166,101,116,120,95,145,116,137,209,208,208,207,206,205,205,203,201,76,77,80,85,104,129,146,153,192,171,144,164,103,125,131,98,162,138,136,211,212,211,211,210,210,209,207,206,76,78,82,87,107,132,149,157,196,158,132,176,113,117,128,101,163,149,131,211,216,215,215,214,213,212,211,210,76,78,82,88,111,135,152,160,198,153,118,170,115,94,116,107,158,150,120,209,219,219,218,217,215,215,216,215,77,78,81,89,114,138,155,165,203,154,102,151,110,89,113,123,169,148,115,206,222,222,221,221,220,219,219,219,78,79,81,90,117,141,158,168,208,165,97,143,145,137,134,151,172,128,102,194,226,225,224,224,224,223,223,223,78,79,82,92,120,144,162,170,207,168,106,152,180,152,138,144,145,120,94,169,229,227,227,227,225,226,226,225,77,79,82,94,123,148,165,173,209,181,142,145,129,135,129,128,123,128,117,143,224,230,229,230,229,229,229,230,77,80,83,97,127,152,167,177,220,195,149,128,109,127,131,142,136,153,151,129,175,231,232,232,233,232,219,191,77,80,83,99,130,155,169,182,228,196,146,117,112,131,145,191,188,175,186,155,118,197,236,231,203,156,103,68,77,80,83,101,133,158,171,185,228,193,138,113,118,139,171,214,225,190,198,156,102,153,219,142,78,56,48,45,76,79,83,103,135,160,173,185,225,197,140,115,126,149,186,218,234,219,181,128,95,128,122,65,46,39,49,40,75,77,81,104,136,161,173,184,220,202,148,118,131,157,197,224,232,213,167,118,93,74,51,56,55,29,44,47,74,76,80,106,139,164,175,184,216,209,167,125,134,160,200,230,224,197,157,116,89,62,45,38,56,33,28,48,72,74,79,106,141,166,178,186,211,211,182,137,136,160,200,228,211,183,147,111,85,61,47,26,42,46,20,34,88,85,88,111,141,164,176,184,201,206,190,150,140,154,197,217,201,174,136,105,81,61,42,27,27,47,26,20,118,117,118,119,122,131,137,142,153,194,194,159,151,151,186,202,191,164,126,98,75,55,46,28,18,39,36,13,117,116,117,118,118,120,122,123,125,168,195,169,155,149,166,187,176,148,114,89,68,40,47,30,14,32,44,18,117,117,119,121,122,123,124,126,125,140,184,172,157,149,145,166,158,130,100,79,67,40,38,29,14,24,45,31,116,118,119,120,121,123,124,126,126,129,168,178,162,152,138,145,146,120,91,70,68,48,26,13,18,18,42,41
7,84,92,100,105,107,109,114,119,122,125,127,129,132,133,135,136,137,138,139,140,140,141,141,141,141,142,141,139,84,93,101,106,109,110,115,120,123,126,128,130,133,135,135,137,138,139,140,142,142,141,142,142,142,142,141,140,84,93,102,108,111,112,116,121,124,126,128,131,134,135,137,138,139,140,141,143,143,143,143,142,142,143,142,141,85,93,101,108,111,113,117,121,125,128,130,133,134,136,137,140,140,141,142,143,143,144,145,144,144,145,143,143,85,94,102,108,111,113,118,121,125,128,131,133,135,137,138,140,141,142,142,144,145,145,145,145,145,145,144,144,86,94,102,109,111,113,118,122,125,129,132,134,135,137,140,141,142,142,143,145,145,145,145,145,145,145,145,145,86,95,102,109,111,114,118,122,127,129,132,135,136,138,140,142,144,144,144,145,146,146,147,146,145,146,146,145,87,95,104,110,111,115,120,123,126,129,132,134,136,138,141,142,144,145,146,148,149,148,148,147,147,147,146,146,87,96,104,111,113,113,116,130,137,134,137,142,142,145,143,138,136,141,139,139,138,139,145,149,148,147,148,147,87,97,105,110,111,123,145,157,153,141,137,149,156,156,153,140,140,153,142,134,128,115,133,134,146,149,149,148,90,96,102,117,141,157,158,153,151,136,123,128,137,141,140,126,126,140,136,127,119,113,124,110,146,154,150,148,85,102,133,155,160,154,154,158,150,130,121,134,147,150,155,139,131,138,131,140,138,125,119,126,132,135,147,151,123,153,162,156,158,156,156,157,146,121,109,113,137,143,142,139,141,135,138,145,146,138,134,137,124,137,126,140,163,161,161,160,164,157,158,161,157,109,86,91,89,82,91,103,105,110,112,112,115,117,116,118,113,121,116,142,164,166,163,160,161,159,160,168,144,98,80,83,84,65,52,58,118,134,136,138,135,133,131,131,131,132,142,151,166,163,161,158,159,159,161,159,123,84,82,88,87,81,71,54,135,154,152,154,154,154,155,154,154,155,152,151,160,160,161,160,161,161,163,159,119,77,67,75,90,102,90,64,107,155,148,150,152,152,151,152,151,151,151,151,160,165,164,162,165,164,169,158,111,75,72,47,52,88,89,73,109,155,150,152,152,153,152,152,152,152,152,151,162,159,158,153,148,146,152,123,98,80,76,72,58,77,95,109,142,149,150,150,150,151,151,150,150,150,149,148,149,148,143,136,126,131,128,103,91,85,82,71,71,80,91,96,95,94,94,95,96,93,92,92,91,90,89,88,133,133,127,122,117,115,108,87,83,78,84,79,78,78,77,75,74,75,73,73,74,74,75,75,75,74,71,69,100,110,109,102,92,85,82,82,82,81,82,84,83,84,84,83,81,85,86,82,82,80,79,80,79,78,76,77,84,85,80,76,78,81,83,83,81,82,82,81,81,82,81,81,80,84,85,83,84,80,78,77,77,78,77,78,68,63,68,80,83,84,84,83,83,83,83,83,83,81,82,82,81,80,79,80,82,79,78,78,77,76,78,74,77,68,71,81,84,84,84,84,85,84,84,85,84,83,83,84,83,82,81,81,81,80,80,78,77,79,73,88,89,76,72,78,84,84,84,83,83,84,84,84,83,83,83,83,83,82,82,81,80,79,80,79,79,75,81,151,78,73,74,74,82,84,84,83,83,84,84,84,83,83,83,83,83,82,82,81,81,80,79,79,77,74,144,152,81,77,72,69,82,84,84,84,84,83,83,83,82,82,82,82,82,82,81,81,81,79,80,78,87,130,139,125
8,72,80,86,91,94,98,101,103,105,106,110,112,113,115,118,119,121,123,124,124,124,125,127,129,129,130,129,129,74,81,86,91,95,99,103,104,105,113,100,103,116,117,118,121,123,123,124,125,126,127,129,130,130,130,130,130,75,83,88,92,97,101,105,104,112,136,82,69,122,117,118,121,124,124,126,126,129,131,129,130,130,130,130,131,76,84,90,95,98,102,106,101,124,127,63,65,124,118,120,123,125,125,126,129,131,129,133,132,131,131,132,132,78,83,91,97,99,103,106,102,140,106,47,84,125,118,121,123,126,127,128,130,131,131,113,128,133,131,133,133,81,84,92,97,100,104,105,111,143,88,45,100,124,121,124,124,126,129,132,128,141,131,54,100,142,132,134,135,83,86,93,96,99,106,104,123,142,88,50,115,123,122,124,127,132,130,131,129,152,123,39,95,144,135,137,136,82,87,93,98,103,108,102,133,135,83,55,120,118,124,127,118,109,127,132,117,150,126,58,88,146,135,137,137,83,89,95,100,104,108,101,144,128,70,68,121,91,100,134,114,80,81,127,100,147,132,96,65,133,141,139,140,84,91,99,100,102,109,104,154,132,85,129,127,94,82,131,116,75,70,119,92,120,145,106,57,91,148,137,141,86,92,98,100,105,109,110,162,129,111,167,131,89,85,128,104,59,72,110,70,125,155,108,59,72,151,139,143,85,92,97,103,106,107,119,154,117,92,163,143,78,91,127,88,45,71,98,63,150,149,110,54,86,153,141,144,88,93,98,101,105,106,121,147,130,103,144,135,60,105,122,76,47,50,88,64,151,138,100,47,91,154,142,145,87,94,101,102,109,105,130,151,143,135,144,131,82,102,133,93,43,51,86,95,144,117,86,43,103,154,144,146,88,93,100,102,107,106,150,143,137,120,133,144,104,115,151,104,42,72,109,131,137,105,74,42,117,152,144,147,87,94,100,105,105,116,150,113,110,99,110,120,81,113,110,70,99,135,135,113,117,103,73,40,121,153,145,147,89,94,100,105,103,134,148,115,102,91,74,71,66,69,102,136,151,135,128,100,88,90,71,36,126,153,145,148,89,96,101,105,102,158,148,125,109,86,73,69,74,125,173,172,143,128,115,87,69,70,56,45,148,150,149,150,89,97,102,104,115,170,147,130,107,87,75,56,109,174,172,164,143,116,99,75,60,63,38,84,158,147,150,150,91,98,104,100,135,175,143,129,110,98,82,88,159,168,166,154,129,104,86,66,52,55,35,131,155,149,151,152,91,98,107,97,150,176,142,127,118,110,102,140,163,161,155,142,116,93,77,57,49,46,41,145,155,149,152,154,92,98,107,98,163,173,145,136,130,122,139,159,167,150,135,127,104,83,69,52,49,39,59,155,151,151,153,153,93,99,106,99,170,175,147,137,126,129,156,166,162,136,123,114,94,76,60,49,47,31,108,158,151,155,154,153,94,100,108,100,162,178,154,139,127,129,153,159,141,125,112,103,85,66,53,48,34,74,154,151,153,153,154,155,92,99,107,101,155,178,156,145,130,126,142,145,135,123,104,98,79,60,51,38,61,148,152,153,153,154,155,155,93,100,107,103,143,168,141,136,126,126,133,141,138,125,107,97,78,56,39,40,134,156,151,153,153,155,155,156,93,100,108,104,134,151,141,134,136,137,123,130,132,116,99,89,69,44,25,107,155,150,152,153,154,154,155,156,94,101,108,105,130,157,151,144,147,139,120,121,128,113,92,80,60,25,62,151,149,152,153,154,155,156,156,156
2,207,208,210,211,211,211,211,210,210,210,208,208,208,207,207,206,204,204,203,204,203,203,200,201,186,92,82,95,209,210,211,212,212,211,212,212,211,212,210,210,210,208,208,207,207,206,205,204,204,203,200,206,170,81,87,103,210,211,212,214,212,212,213,214,213,212,212,212,209,208,209,207,200,206,207,208,205,203,204,206,184,103,94,100,212,213,214,213,215,215,214,214,214,214,212,211,212,215,215,186,129,148,180,145,204,208,204,202,207,128,99,102,212,214,216,216,216,216,216,216,215,214,216,225,220,203,164,133,104,96,125,96,164,211,205,203,210,142,88,87,213,214,217,217,217,217,218,218,216,222,232,231,179,126,109,99,90,93,98,100,89,175,214,203,212,173,81,66,214,216,217,218,219,219,219,220,217,228,230,190,129,83,88,91,79,83,89,94,78,167,217,207,207,209,97,51,216,218,219,219,220,220,221,220,222,247,191,117,100,82,76,86,89,84,94,111,157,211,209,210,208,212,150,108,217,218,220,219,221,222,223,217,233,242,160,98,95,95,86,90,83,150,202,211,218,211,212,210,209,212,170,157,219,219,220,221,223,224,223,218,248,225,149,104,93,97,86,101,170,218,218,214,211,213,214,212,208,218,126,156,219,220,221,224,224,225,221,229,247,198,130,88,87,87,85,151,234,215,217,216,214,215,214,212,211,216,135,186,221,220,223,224,225,225,221,242,241,186,136,103,100,87,82,160,229,217,218,218,217,215,213,213,213,214,181,167,222,224,225,225,227,225,227,255,233,176,131,111,107,102,82,188,227,219,220,219,217,216,215,214,214,213,212,179,224,226,227,227,227,224,240,255,215,161,121,106,104,104,105,211,225,220,221,219,218,218,217,216,215,214,211,201,224,226,227,228,227,223,254,251,202,151,112,103,102,103,107,215,226,222,221,220,219,219,218,216,215,215,214,205,226,226,227,229,227,227,255,244,194,144,112,104,106,106,114,221,224,223,222,221,220,219,218,217,218,216,213,210,225,227,229,231,224,243,255,229,184,138,110,105,108,99,114,231,224,224,225,223,220,220,222,222,219,218,219,214,226,228,231,230,225,255,255,214,173,129,105,103,99,99,88,176,236,222,223,225,226,221,205,191,178,169,175,212,228,230,231,225,236,255,243,201,159,124,106,95,93,98,101,101,225,235,229,222,196,175,174,171,168,156,110,165,230,231,232,222,251,255,230,188,152,123,104,86,91,97,105,91,144,204,192,171,169,173,181,168,141,142,143,187,230,233,227,229,255,252,222,180,144,120,98,81,98,105,106,111,100,118,151,174,188,178,147,118,154,209,220,219,229,230,219,253,255,245,212,177,139,112,92,87,112,118,127,127,127,134,158,175,158,128,106,167,227,220,217,216,231,218,240,255,255,238,206,170,132,112,90,99,121,127,137,134,133,138,144,129,126,163,201,226,218,218,217,215,219,231,255,253,243,228,200,161,125,111,93,111,126,131,135,133,124,111,110,159,212,230,226,221,219,219,217,216,224,250,252,248,237,219,190,147,120,111,101,124,133,135,127,118,98,117,192,232,229,223,223,224,221,219,218,217,247,243,242,236,219,196,169,131,117,105,107,124,129,130,108,99,173,225,232,225,226,225,224,224,222,220,218,216,242,239,230,211,189,173,141,117,106,104,113,116,121,102,99,189,238,229,225,227,226,225,224,223,221,220,219,219,243,234,214,188,169,159,124,104,102,108,106,105,102,123,207,237,225,227,227,227,227,225,225,224,222,220,220,219
3,170,170,171,170,171,171,171,173,170,170,170,168,167,167,167,166,165,164,161,158,157,155,154,152,150,149,148,145,171,171,173,173,173,172,172,174,172,171,172,169,168,168,167,166,159,162,162,159,158,155,154,153,151,150,149,146,173,173,174,174,174,173,174,174,174,173,172,170,169,169,164,184,116,138,167,160,160,157,156,154,152,151,150,148,176,174,175,176,175,176,175,175,175,174,174,173,171,168,175,178,91,142,170,161,160,159,158,156,154,152,151,150,177,177,179,179,177,177,177,177,177,176,175,175,175,168,195,145,88,164,169,164,161,160,159,158,157,154,151,151,180,180,181,182,181,180,180,179,178,178,176,177,173,183,195,105,118,175,167,168,167,164,162,160,158,157,154,152,182,182,182,184,183,183,183,183,182,179,179,179,173,206,176,90,145,180,171,171,169,168,164,162,160,159,157,155,183,184,185,186,185,185,185,184,184,182,183,178,195,199,138,90,169,180,175,174,170,168,167,165,162,161,158,158,186,188,189,188,189,188,187,187,186,186,186,182,203,175,96,124,175,164,172,174,176,171,167,167,165,164,162,159,189,190,191,192,192,190,192,190,190,189,187,185,196,181,140,151,172,164,172,163,157,171,172,167,169,168,165,163,190,191,193,194,193,192,193,192,192,191,189,189,199,206,186,153,154,156,158,174,154,116,167,175,162,163,169,165,193,193,194,195,194,195,194,194,193,193,192,189,219,193,166,170,159,135,129,114,143,125,109,141,147,118,160,171,196,196,195,196,196,198,197,196,195,196,191,202,224,195,173,157,139,122,95,97,73,133,133,104,117,110,166,171,198,198,198,198,198,199,199,197,198,196,199,228,211,160,110,97,132,122,104,96,81,79,117,95,83,159,175,171,200,200,201,201,200,201,200,200,199,197,222,229,168,113,76,57,149,179,123,99,88,84,65,79,120,183,173,172,201,201,203,202,202,202,202,202,198,211,239,201,126,88,70,60,93,200,192,168,116,80,87,86,142,184,174,174,202,203,205,203,205,204,203,205,191,227,234,178,122,94,66,58,51,105,188,215,137,74,100,92,165,184,176,175,205,206,205,206,206,206,205,208,190,218,215,180,122,77,61,55,59,52,84,137,83,98,106,106,181,183,179,177,206,206,207,207,206,206,207,209,196,209,225,191,133,89,63,61,66,77,78,74,76,109,106,116,188,182,180,177,208,209,209,209,209,209,208,210,195,206,233,192,149,106,73,67,79,88,99,113,104,107,104,129,193,183,181,180,209,210,210,211,210,210,210,211,195,202,240,201,155,115,90,69,83,100,119,129,118,103,93,146,195,183,184,183,210,211,212,212,211,212,211,214,196,196,243,205,160,129,109,74,84,116,132,131,121,98,110,183,190,186,185,184,211,210,212,212,214,214,214,215,199,190,234,201,167,133,113,83,86,118,125,120,111,102,174,199,190,189,186,184,212,212,214,215,214,213,213,216,202,189,232,206,173,135,109,89,89,111,117,113,99,125,198,194,192,190,188,186,213,214,215,216,217,216,215,217,208,187,223,205,172,134,110,100,93,107,113,109,101,170,201,194,193,192,189,187,214,215,215,216,216,216,217,218,209,198,223,196,166,135,118,109,96,103,108,103,153,203,197,196,194,192,190,188,214,216,216,216,216,216,216,218,210,197,227,196,169,143,124,110,102,103,107,149,205,200,199,197,195,193,190,188,215,217,216,216,216,217,218,219,208,195,219,187,166,143,117,107,108,104,129,202,205,202,201,199,198,196,191,189
24,102,107,112,115,118,120,122,125,127,129,130,134,134,135,136,140,140,142,145,145,146,146,147,147,146,148,148,149,103,107,111,113,118,120,123,126,128,130,130,134,135,137,139,141,141,143,145,145,146,148,148,148,149,151,151,151,104,109,112,115,119,121,124,127,129,132,133,136,138,139,140,143,143,144,146,146,148,148,150,150,151,152,152,152,104,110,112,117,119,121,125,127,130,133,134,137,139,140,142,145,144,144,147,149,150,151,151,153,152,152,152,152,105,110,113,118,119,122,126,128,131,134,136,138,140,142,143,145,146,145,147,150,152,153,152,153,153,152,152,152,105,110,115,119,123,124,127,129,132,134,136,138,141,142,142,144,149,150,150,151,152,153,153,153,153,153,154,153,108,109,125,115,95,128,126,130,133,136,137,139,140,140,148,147,144,137,153,152,153,153,153,152,154,155,154,155,108,107,134,134,73,118,130,130,134,136,140,142,142,120,98,147,145,100,100,156,152,153,153,154,155,155,154,155,109,110,117,138,88,84,135,130,133,138,111,135,162,129,77,119,155,114,56,104,163,153,155,157,156,157,158,156,109,113,114,132,125,81,120,132,144,154,117,104,162,134,91,106,159,120,68,50,157,155,157,159,156,158,145,123,108,113,118,123,154,120,84,128,159,171,133,95,150,145,93,88,156,114,66,30,138,161,155,156,159,150,112,78,109,114,118,118,142,138,90,102,146,180,149,103,115,158,104,67,138,97,56,18,121,165,154,158,150,134,95,61,108,114,118,121,124,141,147,126,124,161,158,109,77,134,113,57,102,86,57,20,76,168,158,140,130,118,69,86,108,115,119,121,122,138,153,144,147,157,143,103,58,100,108,54,69,105,67,27,33,135,137,122,119,86,50,136,109,114,118,121,126,126,147,149,143,152,141,102,78,72,124,76,66,143,76,35,83,98,121,123,89,45,111,167,110,115,118,122,127,125,141,163,137,117,116,116,115,68,129,113,43,122,82,111,139,120,112,98,57,83,166,158,109,115,120,123,126,127,137,160,119,107,105,115,113,84,109,99,49,114,152,151,131,112,90,73,61,157,161,160,110,115,121,124,126,128,134,170,142,119,100,102,110,127,107,100,138,160,149,140,125,105,82,53,114,168,158,161,110,116,120,123,126,132,131,174,164,134,106,95,125,142,152,166,169,154,145,134,118,95,61,67,165,162,162,162,111,116,121,124,127,132,130,171,177,143,128,107,113,138,159,179,164,153,149,132,102,76,45,118,169,160,162,162,111,117,120,123,128,130,128,162,183,151,143,129,114,140,157,174,163,156,148,124,98,59,67,164,160,161,162,162,112,118,121,123,126,130,132,144,179,164,149,142,126,136,155,167,162,152,137,120,101,48,130,169,161,163,162,162,111,117,122,124,126,129,134,135,157,170,157,139,127,134,152,160,154,139,121,110,70,87,169,160,163,163,164,162,111,116,121,124,126,130,135,136,147,173,154,139,126,138,144,147,141,127,107,83,58,152,164,161,163,163,165,165,109,115,119,121,125,129,132,134,143,159,140,136,130,132,138,142,136,122,99,57,101,172,159,161,162,162,162,164,107,113,118,120,123,127,130,133,141,146,136,146,143,142,144,139,128,115,89,52,139,164,158,160,161,160,160,161,107,112,117,119,121,127,130,130,141,162,154,161,151,149,141,132,122,107,74,59,156,158,158,159,160,160,162,161,106,111,117,119,121,126,130,129,141,177,160,158,151,146,132,127,122,99,62,72,165,156,159,158,159,160,161,160
0,155,156,155,155,155,155,155,155,154,153,152,152,152,152,150,149,149,149,147,146,144,144,143,142,141,140,138,137,156,157,156,157,157,155,155,156,156,154,154,153,153,152,152,150,149,149,149,148,145,145,144,142,140,140,139,139,157,157,157,157,157,156,157,157,156,156,155,155,156,153,153,151,152,148,148,148,147,147,145,144,141,141,141,140,159,158,158,158,157,157,159,158,157,157,156,154,146,156,156,154,153,157,149,150,149,146,146,144,143,143,141,140,159,159,161,161,159,159,158,159,157,161,156,134,99,99,148,124,101,110,156,146,145,151,145,148,146,143,142,141,160,160,160,161,160,159,160,146,116,121,148,125,100,63,88,113,85,52,95,105,80,96,149,129,132,146,141,141,163,161,160,161,159,159,160,142,119,88,105,144,100,71,77,128,95,65,50,101,74,35,93,112,89,151,142,141,163,162,161,160,160,161,159,160,134,112,74,129,108,77,72,127,101,65,62,113,89,46,42,108,77,148,143,143,163,163,162,161,161,165,157,143,141,114,61,116,115,78,70,125,100,65,43,98,82,46,31,99,66,131,149,144,164,163,163,163,163,166,146,105,138,92,53,116,102,65,61,112,86,55,30,86,71,36,33,101,68,85,154,143,165,164,164,164,164,160,126,88,134,81,54,110,82,48,54,101,76,43,42,108,85,30,29,104,94,55,119,150,164,163,164,164,167,161,144,116,131,97,68,104,91,51,56,110,83,34,86,131,86,20,46,107,98,57,73,157,164,165,165,165,167,152,129,108,109,97,66,112,107,51,76,125,94,43,77,118,48,18,95,116,95,42,87,156,165,167,167,168,163,132,104,85,71,56,48,113,98,45,66,126,93,38,0,16,2,64,121,116,76,38,138,150,168,167,168,166,161,140,113,86,61,53,49,61,72,44,26,56,55,55,78,43,54,119,117,102,43,84,159,145,168,168,168,164,156,138,115,87,65,62,69,64,69,75,66,70,105,129,124,118,94,106,105,71,35,139,152,146,169,168,169,167,158,141,119,95,69,60,67,77,96,109,119,132,135,124,111,110,87,84,90,38,71,160,148,149,168,168,168,166,160,142,121,102,80,70,69,81,117,130,140,137,131,119,108,105,79,65,68,22,124,158,150,149,168,169,169,165,162,145,127,108,87,86,77,113,145,142,142,137,128,113,103,98,68,54,25,66,161,151,152,150,169,169,169,166,164,150,132,116,104,98,107,139,147,144,143,135,123,110,96,82,57,21,47,150,156,153,153,152,169,170,170,167,164,152,136,123,113,106,130,141,147,148,141,123,114,102,86,70,28,36,150,158,154,155,153,152,169,170,170,165,162,156,142,128,115,109,138,144,148,145,131,113,102,91,74,39,24,140,161,153,155,156,154,151,169,171,171,165,160,155,144,133,118,110,135,145,137,132,116,101,86,76,47,18,127,166,156,157,155,156,154,152,171,172,173,168,161,158,148,141,128,115,130,138,126,118,104,87,73,47,14,116,168,157,160,158,156,155,153,152,171,171,173,169,164,155,147,143,134,122,127,131,118,103,92,76,44,15,113,170,158,161,158,157,157,155,154,153,172,172,173,168,162,153,156,156,144,130,124,121,104,90,80,51,16,118,173,162,164,162,158,157,157,155,155,154,172,172,172,166,165,152,155,156,138,128,118,112,92,72,62,22,114,176,162,164,164,162,160,159,158,156,155,154,172,172,170,162,158,134,152,143,131,123,113,96,82,66,33,63,176,163,164,163,163,162,160,160,158,157,156,154
11,84,91,98,106,110,116,120,125,128,130,133,134,136,141,139,139,139,139,139,139,140,138,136,141,96,66,117,167,88,93,100,108,112,118,122,126,129,132,134,133,156,122,138,139,139,139,138,138,138,136,134,140,105,86,119,172,92,98,105,113,117,121,125,130,134,136,138,134,181,97,116,146,139,140,140,140,138,136,135,132,120,170,161,166,97,102,112,118,124,129,133,138,140,141,143,140,198,107,88,153,141,143,142,141,140,139,138,129,153,133,163,167,102,108,117,124,130,136,140,144,147,149,150,148,201,101,76,158,148,148,148,146,145,144,142,141,145,107,175,167,107,114,125,132,136,142,147,151,155,157,158,158,200,91,84,166,154,157,155,154,152,150,148,144,147,168,161,167,111,118,131,140,145,149,154,159,163,165,164,171,209,86,94,175,161,163,162,161,159,156,153,150,151,132,116,169,113,123,136,146,152,157,162,166,170,173,167,197,213,59,115,182,168,168,168,167,165,163,161,156,155,144,144,166,117,128,144,152,156,163,169,174,176,179,172,206,189,59,138,188,176,176,176,174,172,169,166,163,161,156,162,174,121,133,148,157,162,168,174,180,182,180,200,203,93,48,150,192,181,181,180,180,179,175,172,170,167,162,165,188,125,137,153,161,168,174,179,183,184,187,186,191,101,48,161,195,187,187,187,186,184,181,178,176,172,167,167,189,130,142,157,165,171,178,184,191,216,211,84,82,128,66,168,199,191,192,192,191,189,186,184,182,176,174,177,188,133,147,161,169,176,180,188,173,200,194,98,53,119,83,147,208,194,196,197,195,193,190,188,184,184,168,152,193,135,149,164,174,177,186,219,151,67,112,144,71,91,83,120,214,198,201,200,199,199,196,195,190,202,97,61,199,138,153,168,173,191,220,205,173,119,62,124,93,60,91,84,209,203,206,205,200,193,179,159,156,151,51,28,68,141,157,168,190,222,173,118,153,172,86,65,80,49,110,76,189,217,206,197,187,193,168,140,137,111,53,37,24,143,160,170,218,203,126,78,67,157,95,46,71,37,131,126,131,198,195,203,201,189,156,122,95,70,41,32,32,146,161,174,214,177,106,70,28,118,105,49,87,28,85,139,68,147,203,206,173,123,83,38,15,28,23,26,30,148,163,172,202,155,91,62,37,80,117,60,105,56,93,127,111,164,181,146,86,49,23,11,14,15,15,17,28,150,165,173,202,178,115,79,56,55,91,84,116,92,175,144,106,132,110,56,12,22,30,11,9,11,13,23,0,149,165,175,208,185,124,95,67,64,80,133,175,182,177,124,91,88,17,10,15,5,25,25,2,1,9,10,0,149,165,174,209,191,146,110,73,81,94,182,219,202,151,101,75,29,10,0,22,6,4,25,17,0,0,0,0,148,165,175,204,192,158,114,84,95,104,190,200,164,122,89,35,0,21,3,0,19,4,7,18,9,0,0,0,154,171,185,197,185,168,122,104,103,107,169,187,143,99,75,31,0,0,23,0,8,16,1,2,13,0,0,0,116,126,132,148,186,172,131,121,104,106,148,171,135,93,46,20,0,0,18,14,0,9,11,0,2,6,0,0,84,84,78,99,185,167,139,130,104,91,134,137,107,63,0,7,12,0,0,18,6,1,5,0,0,4,0,0,92,93,89,108,191,172,147,128,104,83,107,97,67,17,0,0,23,0,0,16,11,5,1,0,0,0,0,0,90,92,92,97,186,174,138,118,100,86,93,82,14,0,0,0,22,0,0,2,15,2,0,0,0,0,0,0
12,71,74,80,87,100,113,121,127,133,137,139,142,144,147,150,153,156,158,159,160,162,164,165,165,166,166,166,167,71,75,81,88,102,114,122,128,134,138,140,143,145,148,151,154,156,159,160,161,163,165,166,166,167,167,168,168,72,76,82,90,103,115,123,130,135,138,141,144,147,150,150,153,158,160,153,156,164,166,167,168,169,170,170,170,73,78,84,92,105,117,125,131,136,139,143,145,152,157,139,136,158,162,133,126,153,159,162,168,171,172,172,172,74,78,85,94,107,118,126,132,137,141,145,147,168,173,142,121,145,163,133,106,119,129,128,154,171,173,173,173,75,79,86,95,109,120,127,133,139,143,146,151,184,188,154,125,135,163,143,111,97,114,106,122,164,175,175,175,75,80,87,97,111,122,128,135,140,144,147,157,190,198,169,130,132,166,146,112,89,110,107,101,152,176,176,176,76,82,89,99,113,123,130,136,141,144,147,160,180,188,172,129,124,164,144,107,85,108,105,99,153,177,178,178,78,83,90,100,114,124,131,137,141,148,157,160,158,156,152,117,106,142,129,97,84,107,101,105,161,180,180,180,78,83,90,102,115,124,131,137,151,179,182,144,113,111,128,104,89,116,108,87,83,103,97,116,171,181,181,181,79,84,91,103,116,125,132,139,169,197,174,132,102,89,114,107,85,106,107,88,85,103,97,123,175,182,182,182,80,85,92,104,117,125,133,145,178,174,156,134,110,87,100,111,84,102,120,97,97,122,108,124,172,183,183,184,80,85,93,106,118,126,133,151,179,156,141,138,117,89,69,74,64,85,108,96,105,128,108,97,143,181,185,185,81,86,94,107,120,127,133,156,182,156,133,130,112,89,55,50,72,100,110,110,121,117,98,88,117,175,186,186,82,87,95,109,120,127,134,161,191,165,135,116,99,81,56,67,110,144,150,145,137,118,105,97,123,177,187,187,83,88,97,111,122,129,136,165,194,170,143,113,93,87,81,107,149,171,170,156,137,115,103,100,141,183,187,187,84,88,98,112,123,130,137,166,192,173,147,119,107,114,120,151,176,181,172,150,128,110,95,105,161,186,188,188,84,89,98,113,122,130,138,162,186,169,146,124,119,123,134,169,180,180,167,140,119,105,94,124,177,188,189,189,84,90,100,114,122,131,139,156,180,164,145,130,123,123,140,167,175,174,155,129,111,99,101,151,185,188,189,189,84,90,101,115,124,132,139,152,175,163,150,140,131,131,150,166,170,161,140,120,104,95,117,173,189,189,190,190,86,91,102,116,125,133,139,147,167,166,157,149,138,134,148,158,157,142,123,108,98,98,142,184,190,190,191,192,86,91,103,117,126,133,139,145,162,170,157,146,134,124,130,140,139,125,109,100,95,116,168,188,190,191,192,193,87,92,104,117,125,133,139,145,159,173,157,141,126,116,118,123,120,112,101,96,100,145,184,190,191,192,193,193,87,92,105,118,125,134,140,146,156,177,165,141,122,115,118,117,115,109,98,93,118,171,188,190,192,193,193,193,87,93,106,118,126,134,141,146,157,181,176,149,132,128,127,117,113,107,94,91,139,184,190,192,193,194,194,195,88,94,107,119,127,135,141,150,168,190,188,159,144,136,129,114,106,98,88,87,147,187,191,192,194,194,195,195,88,94,108,119,128,136,144,166,185,186,193,167,151,137,126,111,98,90,84,85,150,188,190,193,194,194,195,196,88,95,109,120,128,137,149,185,196,175,179,165,151,135,123,106,92,88,83,87,155,189,191,193,194,195,196,196
4,166,166,166,167,167,167,166,166,166,167,166,167,167,167,167,168,168,167,167,166,167,167,166,166,166,165,163,162,168,167,168,167,167,167,168,168,167,168,167,167,167,170,167,169,169,169,168,168,167,168,165,167,167,165,164,165,169,168,168,168,168,168,168,168,169,169,168,167,165,169,173,169,170,172,174,170,168,168,168,168,168,166,165,166,168,170,169,169,171,170,169,170,170,169,169,182,168,141,147,170,157,134,155,176,173,170,167,168,168,168,167,167,168,169,170,171,172,172,170,169,172,168,159,171,197,164,116,160,176,130,94,154,147,160,174,168,168,169,168,168,171,171,171,172,173,172,172,169,182,189,174,123,167,190,117,155,188,144,97,152,133,92,151,178,169,170,170,169,172,172,172,172,172,173,172,174,180,184,179,131,140,185,106,141,198,139,117,177,147,94,90,177,171,171,171,171,172,173,173,173,173,174,170,184,175,165,184,119,120,178,116,109,179,113,108,177,155,102,83,176,172,173,171,172,172,173,174,174,174,172,173,189,154,126,175,131,103,174,157,134,145,134,155,187,171,108,107,184,171,173,172,173,172,173,174,175,175,172,181,183,154,119,148,134,90,128,151,160,152,168,176,174,154,124,103,177,174,174,173,173,172,173,174,175,174,176,187,175,166,137,114,92,80,103,100,135,142,149,156,155,134,148,86,146,183,173,175,174,174,174,174,175,175,181,183,158,137,127,109,85,82,114,79,95,115,114,133,122,139,155,100,110,187,172,175,175,174,174,175,176,175,184,184,153,122,103,101,91,93,115,97,123,128,114,85,123,181,162,128,84,169,179,175,178,174,174,175,176,175,189,196,168,134,103,85,84,102,102,117,152,155,126,116,146,183,173,156,90,126,188,175,179,173,173,173,176,174,191,197,175,140,102,86,83,108,111,150,154,154,149,175,175,164,182,156,99,95,186,177,178,173,173,173,174,174,193,197,184,145,100,95,88,96,120,148,150,168,180,174,176,166,156,137,106,83,173,179,178,173,173,175,175,174,196,193,189,147,103,112,106,98,128,145,168,177,175,172,165,155,129,113,101,87,172,178,177,173,173,175,176,178,194,191,179,145,131,126,107,137,164,175,186,179,172,163,153,138,117,95,76,142,182,176,177,174,173,175,176,178,194,192,182,161,147,132,108,155,185,182,187,180,166,153,141,125,105,75,117,183,177,179,178,174,174,175,175,172,195,190,188,175,150,145,123,146,186,181,183,172,150,142,131,114,87,90,177,180,180,179,178,173,174,174,177,168,186,190,192,181,160,149,137,145,184,180,174,160,141,131,116,101,76,148,185,179,180,179,178,177,177,178,181,174,177,191,183,169,161,150,139,148,174,171,160,148,131,121,107,77,109,188,180,181,181,182,181,122,124,126,132,124,162,200,178,162,159,155,143,149,161,160,146,132,119,114,95,78,163,185,183,184,183,179,176,83,84,84,89,71,145,198,175,169,169,160,146,150,160,156,143,120,108,103,83,89,113,113,112,111,114,136,166,92,92,92,95,80,147,198,176,173,172,160,146,150,163,161,142,105,97,89,81,88,79,77,88,131,149,160,173,91,91,91,95,79,145,203,178,174,173,171,149,143,160,156,123,94,90,82,88,91,104,157,177,172,193,180,154,92,93,92,96,80,143,203,179,174,179,182,151,131,156,142,106,90,79,76,123,160,177,192,179,141,144,176,173,91,92,91,95,83,145,196,172,169,179,182,149,128,151,135,99,82,74,139,191,194,178,163,151,140,119,139,165
15,73,73,75,74,78,80,81,84,86,94,107,116,124,129,133,139,140,143,146,150,153,157,159,161,162,165,167,168,73,73,74,73,77,78,75,82,86,96,106,115,123,129,135,139,141,144,147,149,152,157,160,161,163,166,168,170,74,74,74,74,76,77,93,81,82,96,107,117,126,130,135,141,142,144,148,153,154,158,161,162,165,168,171,171,75,73,73,76,62,115,173,129,100,95,102,115,126,134,138,143,143,144,146,152,155,159,162,164,166,168,169,171,75,74,72,76,64,118,177,162,149,136,120,121,115,127,136,143,145,146,150,153,156,158,162,166,167,167,170,171,74,75,75,76,75,77,128,131,127,144,142,143,131,122,118,123,128,134,142,151,159,164,166,165,167,168,172,173,73,75,74,75,78,77,81,95,95,113,123,129,147,143,134,129,127,129,128,120,124,131,149,172,167,171,172,174,74,74,74,75,76,79,80,81,88,97,101,96,124,132,131,125,128,143,151,137,114,98,79,139,175,169,173,175,75,75,75,76,78,81,82,83,87,98,108,110,116,120,117,112,107,142,151,153,131,120,88,69,157,177,172,176,73,75,75,75,77,79,81,81,86,99,109,119,127,130,129,122,121,155,152,153,141,137,117,91,85,169,177,175,74,75,75,75,77,77,81,83,87,96,105,118,125,135,143,135,166,166,140,146,160,145,139,121,81,90,175,177,75,75,75,75,78,78,80,83,87,96,125,125,126,125,132,161,172,158,112,149,160,143,163,134,100,65,106,186,74,75,75,76,77,78,81,84,78,125,164,140,148,142,120,136,133,103,84,141,141,138,172,140,105,83,61,130,74,74,74,74,75,77,79,82,82,119,141,148,172,172,133,102,115,93,60,129,120,146,165,140,112,89,72,68,73,73,73,74,75,78,79,82,85,97,115,130,166,164,126,126,135,124,115,116,121,131,138,130,110,88,73,70,73,72,72,72,74,77,77,80,85,98,110,124,135,121,119,141,138,131,138,141,127,93,89,106,96,84,72,68,72,71,71,72,73,73,75,77,85,100,109,113,127,134,105,125,140,142,148,150,128,88,72,82,82,79,80,70,70,69,70,72,73,73,74,76,84,97,109,113,138,197,116,72,75,128,138,143,121,84,76,81,79,81,83,77,68,69,69,70,70,72,75,76,84,98,108,112,135,186,120,64,24,57,116,129,105,84,84,82,79,81,85,82,69,69,69,70,70,71,73,74,84,98,107,112,131,176,110,53,74,40,66,114,84,77,80,86,86,84,84,81,68,68,68,69,70,71,73,74,82,97,108,112,131,175,100,70,88,66,81,104,118,97,96,95,92,88,83,80,66,66,67,66,68,70,71,73,81,94,104,114,125,181,83,84,113,90,129,87,128,110,102,94,87,84,82,76,63,63,64,64,65,67,70,70,79,93,103,110,133,190,66,90,174,57,149,137,103,77,80,80,79,79,80,80,67,65,66,67,66,65,68,68,77,91,103,109,130,144,58,108,175,54,132,165,109,107,113,57,60,65,62,65,121,119,116,114,111,110,113,113,115,115,117,118,128,108,87,137,127,90,141,145,149,155,154,89,53,56,55,58,90,88,87,85,86,87,90,93,89,88,86,83,86,85,91,94,92,92,94,94,95,91,94,92,67,67,76,82,89,88,88,87,87,87,87,85,85,88,87,84,85,88,88,88,87,88,91,89,88,86,87,89,89,96,101,93,91,90,89,89,88,90,91,88,89,91,94,92,91,94,91,90,92,92,94,93,93,92,93,96,93,96,130,104
16,86,99,107,113,119,126,133,139,143,148,151,156,161,164,168,171,173,174,175,177,179,179,179,180,182,181,182,182,91,104,112,116,122,130,137,144,148,151,154,161,165,168,172,176,177,178,183,184,184,185,184,186,186,185,186,186,94,108,114,119,125,134,141,147,152,156,160,164,169,173,176,180,183,180,175,172,176,185,191,190,188,190,191,190,96,110,116,121,130,137,144,151,154,159,162,166,170,176,181,176,162,151,135,115,108,109,133,181,196,193,194,195,100,114,119,124,131,140,148,156,159,164,169,172,174,168,156,142,136,141,127,105,93,81,60,80,165,198,196,197,103,115,121,127,135,143,151,159,160,164,163,154,146,139,134,137,129,120,112,84,83,86,59,43,71,187,203,201,104,117,122,127,137,146,154,157,174,166,145,118,127,128,139,122,111,115,91,65,66,67,53,52,40,140,210,202,107,120,126,131,141,149,155,173,201,180,183,119,139,160,142,102,113,97,76,60,58,54,50,52,42,114,210,204,110,121,128,133,144,152,159,181,173,179,179,133,177,180,99,95,93,65,62,53,48,48,52,55,42,136,214,208,114,125,130,137,146,153,164,158,165,190,158,150,201,170,101,90,68,52,50,48,47,44,49,54,51,172,215,211,117,128,133,139,148,155,164,162,174,197,173,168,195,147,130,108,73,48,44,47,48,47,49,44,86,203,214,214,118,130,135,140,150,159,167,171,172,192,186,168,189,164,138,101,69,47,40,44,49,50,50,41,127,217,217,217,120,132,135,143,153,163,169,175,168,193,187,182,185,156,111,72,53,37,42,48,52,52,49,47,169,223,217,219,124,132,136,145,155,165,172,179,175,190,194,190,163,124,75,48,23,18,46,57,52,52,47,59,200,222,218,220,126,135,139,147,156,165,174,179,182,190,195,175,132,86,47,0,0,26,53,62,54,52,41,79,220,221,221,223,130,138,141,150,161,169,175,182,185,182,177,141,97,67,0,0,0,28,56,72,67,58,33,101,229,220,221,222,131,139,144,153,163,170,176,183,188,171,149,108,78,39,0,0,0,11,50,74,79,57,28,125,236,222,224,224,132,142,146,153,165,171,178,185,191,175,126,84,60,18,0,0,0,0,38,84,80,53,33,141,237,223,226,227,135,141,146,155,166,173,181,186,194,170,102,50,36,37,33,11,9,18,55,93,68,55,36,152,239,226,228,229,139,143,147,157,167,174,182,187,193,162,78,73,52,25,36,30,29,76,79,98,61,56,38,171,241,228,230,231,140,144,148,159,170,177,182,193,184,131,52,195,202,119,81,54,96,99,93,94,55,54,38,178,241,227,230,231,139,143,150,160,168,177,180,177,158,67,116,221,210,208,180,138,107,101,117,93,48,51,32,168,243,229,234,235,139,143,150,160,170,177,175,165,105,60,201,210,208,193,170,135,98,122,132,97,47,47,32,137,253,238,230,226,139,144,150,160,168,184,191,140,48,158,217,208,207,195,164,137,100,134,141,101,50,43,44,58,106,82,120,172,139,144,152,157,180,219,155,56,117,207,202,209,204,192,160,135,100,130,151,109,41,46,50,29,7,9,87,114,141,144,151,155,206,156,76,132,205,199,205,207,201,188,163,137,100,106,152,127,45,46,46,37,8,50,46,35,140,145,152,161,176,135,167,201,195,201,206,209,198,185,161,135,103,84,136,143,63,43,44,27,0,21,42,29,140,146,154,164,172,188,191,190,197,201,205,209,194,183,163,128,97,84,93,131,86,45,45,12,0,4,41,21
11,115,118,123,125,128,130,132,134,136,137,137,137,137,137,137,137,137,137,136,135,134,132,129,130,128,127,123,121,117,122,124,127,129,132,135,136,138,138,139,139,138,139,141,138,137,137,137,136,136,134,131,131,129,128,126,124,120,124,128,130,133,135,137,138,140,141,142,141,142,133,122,143,138,139,138,136,136,135,134,132,131,130,127,128,124,127,130,133,136,139,141,142,144,143,144,142,148,151,75,143,143,140,141,140,137,137,137,134,132,130,135,110,127,130,133,135,138,142,144,144,146,145,147,143,155,165,66,137,147,143,143,143,142,140,137,137,134,134,135,59,127,132,136,139,142,144,145,146,148,148,151,143,166,162,54,137,150,146,144,143,144,143,141,139,136,141,119,27,131,134,137,142,145,146,149,149,152,154,150,148,191,156,57,148,150,148,148,147,145,145,143,143,141,147,104,14,134,138,141,144,146,148,152,152,152,142,167,137,187,143,68,158,151,151,151,151,148,148,146,145,143,147,117,38,136,141,144,146,149,153,148,182,161,85,144,118,73,122,72,136,159,153,153,153,152,151,149,149,147,146,138,56,138,142,146,149,153,148,177,200,182,134,69,101,58,86,67,105,167,154,155,155,154,153,152,152,150,147,149,78,141,144,148,152,151,165,215,154,162,160,82,68,64,101,73,113,169,157,158,158,157,156,155,153,152,149,153,124,143,146,150,153,156,204,188,114,113,157,72,61,56,99,72,120,171,160,162,161,159,159,157,155,154,153,152,146,144,149,153,150,182,212,149,106,131,130,42,69,55,88,63,134,171,163,165,164,162,161,160,158,157,156,154,151,146,150,155,151,195,201,134,80,94,101,44,66,54,84,59,156,170,165,166,165,163,162,159,158,158,158,156,155,148,152,156,151,200,203,150,99,50,51,79,45,67,82,64,172,168,167,166,165,165,164,163,162,160,158,159,156,149,154,158,155,211,201,141,87,50,35,86,43,98,89,37,135,182,169,171,172,166,160,156,154,161,166,160,158,151,156,159,161,221,198,142,97,59,38,49,34,89,74,27,53,155,170,157,137,123,114,110,98,88,128,166,159,152,157,158,168,223,195,146,107,70,49,52,59,77,79,75,73,79,99,105,119,127,111,85,75,57,76,169,161,153,159,160,171,220,190,146,110,77,56,58,102,131,131,118,106,88,90,110,109,88,69,88,135,149,154,165,162,155,161,162,170,218,193,156,119,86,63,76,128,126,112,107,100,85,74,68,73,109,141,171,178,174,171,166,164,157,163,163,177,217,196,163,121,99,73,91,121,119,108,90,86,61,51,104,167,182,179,173,171,171,170,167,164,158,166,160,191,221,197,160,117,98,78,87,101,107,98,76,55,78,149,185,181,176,173,174,173,172,171,169,167,160,165,164,214,212,179,142,107,86,79,89,85,93,85,52,109,184,188,178,179,178,177,176,175,173,173,171,168,162,161,203,221,198,168,130,101,83,83,86,74,69,62,127,194,186,182,181,180,179,178,177,175,174,174,173,171,160,170,222,209,184,160,126,107,91,80,76,55,92,168,194,185,185,185,182,181,180,180,178,177,176,174,173,172,157,184,222,202,157,125,118,104,83,73,50,78,184,194,185,187,186,186,184,183,182,181,179,179,178,175,174,171,159,200,220,193,135,103,97,89,72,57,59,168,194,187,189,188,188,186,186,183,183,182,180,180,179,175,174,173,170,214,215,180,111,96,91,79,62,46,135,198,189,193,192,189,189,187,186,184,184,183,182,181,180,178,176,175
2,180,180,180,181,181,181,180,179,179,178,176,176,175,175,173,174,173,170,169,169,168,166,166,163,162,160,160,159,181,182,182,182,182,181,181,181,180,180,179,178,177,176,174,175,175,172,172,171,170,167,166,165,164,161,160,158,182,182,183,183,182,182,182,182,181,180,180,180,179,178,175,176,176,175,175,173,172,169,167,166,165,164,161,158,184,184,184,184,183,184,184,183,182,182,182,181,178,175,175,173,171,174,174,174,172,170,169,167,165,164,163,160,186,186,186,185,185,185,185,184,183,184,184,189,184,172,171,168,153,154,156,158,161,167,169,169,166,165,164,162,187,188,187,187,187,186,186,186,186,184,192,210,205,199,199,195,179,157,134,121,121,147,158,164,167,166,165,164,188,188,187,188,187,187,188,187,187,181,183,193,189,182,184,188,181,174,154,124,127,146,129,138,168,167,165,165,188,189,189,189,188,188,189,188,192,199,193,196,197,186,171,160,141,148,162,153,164,135,106,149,170,168,166,165,190,191,191,190,190,190,189,193,212,201,192,192,195,191,182,176,150,151,152,134,140,119,133,170,172,170,169,166,191,192,192,192,192,191,192,209,197,166,152,163,171,164,161,182,154,143,150,112,129,144,168,175,173,170,170,168,192,192,193,193,192,193,206,208,177,176,186,189,187,172,168,174,133,112,127,137,174,177,177,176,172,171,171,170,193,192,193,193,194,196,213,195,193,205,205,184,160,146,132,131,143,169,173,179,181,180,169,153,145,160,171,171,193,193,194,194,195,202,206,205,199,185,162,139,111,95,84,118,183,186,186,183,179,149,111,95,95,104,161,171,194,194,195,194,194,205,208,210,181,141,112,90,81,75,69,81,178,186,186,184,143,95,96,101,102,93,149,172,194,194,195,194,192,210,218,192,152,114,88,75,73,70,69,67,118,185,187,163,98,98,106,110,109,115,165,172,194,195,195,193,190,222,211,165,121,97,81,71,72,72,72,71,73,122,163,121,93,110,111,107,131,162,173,173,195,195,196,194,198,225,192,143,110,97,76,69,73,73,73,76,76,71,76,94,98,108,105,129,172,176,174,173,196,196,196,192,198,209,171,129,106,90,70,72,75,81,82,85,88,85,72,95,102,101,108,165,179,178,175,174,195,196,195,191,196,201,165,126,101,83,71,74,81,89,92,97,100,101,87,98,104,102,132,181,180,179,177,175,193,194,194,186,199,201,164,127,101,87,73,76,85,97,102,106,111,113,103,94,106,104,158,181,180,179,176,174,194,195,195,179,199,195,161,130,107,93,80,77,89,104,114,118,120,119,108,97,107,140,177,180,179,177,175,175,195,196,197,181,198,189,158,131,110,99,89,79,94,109,117,119,122,116,105,107,151,177,182,181,180,180,195,210,195,196,196,180,194,187,160,133,115,106,95,81,95,110,115,117,115,111,104,139,182,183,183,184,199,205,226,230,195,196,197,181,190,182,156,133,120,110,97,84,98,105,109,109,107,104,123,174,185,184,184,222,243,222,212,232,194,195,195,182,187,180,152,133,118,107,99,90,100,101,103,103,102,122,171,185,186,185,212,243,238,243,213,213,167,168,170,162,185,178,152,131,114,107,101,97,100,100,98,102,123,157,169,169,170,207,239,244,235,227,237,201,102,103,104,117,191,175,147,124,112,108,105,100,95,100,103,92,94,96,98,98,163,239,244,243,229,216,228,228,99,101,101,141,189,171,146,120,111,108,105,101,94,99,98,92,92,92,91,134,236,241,244,243,224,204,224,229
4,180,180,180,180,180,180,179,179,177,175,175,174,175,176,173,172,172,169,167,167,166,165,165,165,162,160,158,158,181,181,181,181,181,180,180,180,179,177,176,176,176,176,174,169,168,170,168,167,167,167,166,165,163,162,159,158,183,183,183,182,182,181,181,181,181,179,169,158,160,169,169,147,124,138,169,170,169,169,166,165,164,162,160,159,185,185,184,183,183,182,183,183,181,181,172,164,151,135,132,139,130,105,136,151,136,144,165,166,165,164,162,161,185,185,184,185,185,185,184,183,177,175,169,160,153,146,112,92,119,122,99,91,95,84,133,168,165,164,164,162,187,186,186,186,185,186,184,180,170,167,154,125,92,126,111,70,90,119,92,64,85,81,91,166,166,165,165,163,188,187,187,187,187,186,185,182,176,164,155,128,83,96,112,76,75,102,78,62,97,93,75,153,168,166,165,164,187,188,187,187,186,186,187,179,141,115,129,143,99,91,121,114,101,95,70,72,104,98,73,148,170,166,165,164,189,189,188,188,188,187,187,184,147,93,67,145,128,104,123,137,138,105,96,98,101,113,87,145,170,167,165,164,189,189,190,189,189,189,188,177,133,84,46,94,122,91,92,107,129,111,103,104,100,106,82,114,172,169,166,165,190,190,191,191,189,189,188,168,133,111,93,70,72,76,68,67,86,108,104,99,96,94,85,86,167,170,167,166,191,191,192,192,190,189,189,173,155,132,99,70,60,72,71,75,70,81,91,91,92,104,98,73,148,171,169,167,193,192,193,193,191,190,190,178,158,125,93,68,63,71,77,92,86,68,62,96,129,129,108,76,120,172,169,166,193,193,194,194,193,191,190,179,147,112,83,63,64,75,93,99,98,97,107,119,132,136,121,93,94,169,169,166,195,195,195,194,194,191,190,179,152,124,92,70,73,83,97,109,111,127,147,150,135,150,139,105,78,160,170,167,196,195,196,195,195,193,190,183,161,131,99,73,72,84,108,122,130,140,154,159,151,137,128,98,67,153,171,168,195,195,195,196,196,194,189,180,165,140,110,78,72,88,111,128,143,152,160,156,143,130,106,80,70,161,172,169,194,195,195,196,197,194,187,175,170,151,121,93,76,79,109,137,152,164,165,153,134,117,93,62,103,173,171,170,195,195,195,196,197,195,185,170,170,156,129,105,85,78,112,148,162,170,163,146,124,107,81,62,150,174,172,170,195,195,195,195,196,196,185,167,163,154,132,111,92,86,114,156,163,163,153,134,114,96,67,98,175,174,173,172,195,196,196,197,198,197,186,165,159,157,142,117,100,95,122,158,158,152,140,121,104,84,63,147,177,175,172,171,196,196,198,198,198,198,189,164,160,160,147,124,110,100,128,153,152,145,128,106,90,66,91,175,178,176,174,172,196,197,198,197,198,199,195,172,164,165,151,131,113,99,124,147,145,136,116,92,75,61,147,181,179,177,175,173,197,198,198,198,198,199,198,178,172,168,151,135,118,99,115,138,132,119,98,79,56,106,180,180,178,177,175,173,198,198,198,199,199,199,197,183,177,165,151,139,123,105,108,121,115,100,82,61,76,168,182,179,178,176,175,174,199,199,199,199,199,199,196,185,178,163,149,136,122,111,102,107,103,86,68,55,147,184,182,180,179,177,176,174,200,200,199,199,199,199,191,184,174,163,153,145,134,124,108,100,96,78,55,103,182,184,182,180,178,177,176,174,200,200,200,200,199,198,184,183,175,165,155,150,137,127,111,98,89,69,59,155,187,185,182,180,179,177,176,174
23,191,194,199,201,202,203,205,206,206,208,210,208,208,207,207,208,209,209,209,210,209,209,209,209,209,207,208,207,193,196,201,202,203,206,206,208,210,208,208,208,209,210,210,212,213,212,214,210,209,211,211,210,210,210,209,209,197,200,202,206,207,208,209,209,213,211,210,212,213,209,209,206,194,199,213,217,213,214,215,214,214,213,212,210,199,201,205,207,209,211,212,213,213,215,217,216,210,226,242,217,191,173,189,172,202,220,218,217,216,217,215,212,200,203,207,209,211,213,215,216,215,217,218,216,231,244,227,197,166,164,142,112,205,223,219,220,219,218,218,217,203,206,209,211,214,216,217,217,217,218,220,236,236,187,178,134,150,157,155,197,223,219,221,220,221,222,221,221,205,208,210,213,215,217,217,219,220,218,220,229,202,137,131,183,231,228,232,228,221,224,224,223,223,224,224,222,208,210,214,217,217,219,220,220,222,221,222,218,184,147,139,246,221,222,213,214,228,223,226,227,227,225,225,225,210,212,216,218,219,221,222,222,224,224,226,220,184,180,131,221,222,236,218,134,197,232,227,228,229,229,226,226,211,215,218,219,220,223,224,225,226,226,224,227,206,181,160,237,253,243,215,117,153,244,228,230,229,229,227,227,213,218,219,220,224,225,225,226,227,227,225,233,216,226,254,249,227,223,206,97,117,183,189,235,228,229,228,227,213,217,220,221,225,225,225,227,228,228,226,225,231,246,237,226,230,217,171,104,49,129,138,237,233,231,230,229,216,217,221,224,225,225,227,229,230,229,224,225,235,242,245,225,224,210,116,84,41,98,89,133,244,234,232,233,217,218,221,225,226,226,229,230,229,233,231,230,232,236,228,217,224,198,104,74,46,72,88,60,140,245,231,233,219,220,223,226,226,228,230,232,230,240,245,223,225,226,226,227,212,153,96,81,49,58,85,89,78,231,237,234,219,221,224,226,228,230,231,233,232,233,238,226,230,232,219,190,139,86,101,88,52,53,84,75,139,246,234,235,220,222,224,226,229,231,232,233,234,224,233,228,224,203,170,122,58,68,105,83,45,68,93,83,218,246,236,236,219,224,226,228,231,232,232,234,236,227,230,224,217,204,147,93,51,93,89,48,43,76,82,153,250,237,239,238,218,223,225,228,231,232,233,234,236,229,226,220,227,207,118,67,53,67,43,43,58,73,89,224,246,240,241,240,219,222,224,227,227,229,232,233,234,227,221,220,231,183,115,86,46,41,48,62,84,69,141,252,239,242,243,242,220,223,225,227,229,231,231,232,233,227,222,228,234,189,128,99,50,47,81,95,103,79,194,255,241,242,241,241,219,223,226,228,231,232,232,232,235,224,219,239,229,190,141,106,71,55,93,105,108,85,214,250,241,241,241,241,218,223,226,228,232,232,233,232,235,224,212,239,226,189,146,109,84,58,93,107,102,100,237,245,242,242,241,241,218,223,226,228,231,232,234,233,235,222,212,230,222,186,142,106,89,63,89,112,87,138,255,241,243,243,242,241,221,223,225,227,230,232,233,233,238,211,208,227,216,178,140,105,88,72,82,103,79,210,249,240,242,242,243,243,222,226,230,231,235,238,240,240,244,208,223,228,203,172,136,105,87,81,77,81,173,255,245,247,245,246,244,240,136,142,149,152,155,158,163,170,165,189,245,231,198,160,128,105,88,86,71,154,232,225,227,235,236,230,227,224,102,102,104,104,104,106,108,108,93,204,255,230,195,150,126,107,87,84,94,118,132,152,162,194,211,198,207,206
0,167,168,171,173,174,175,176,178,178,176,176,177,177,176,177,176,175,174,174,174,172,170,170,168,167,167,166,165,167,170,172,174,175,176,177,179,178,177,178,179,179,178,178,176,176,176,175,174,172,171,171,170,171,169,168,166,168,171,173,174,176,176,177,180,180,180,180,180,178,179,179,181,180,175,176,180,175,172,172,168,160,169,169,169,169,170,173,175,177,178,180,181,181,181,181,182,184,181,178,165,169,184,171,152,172,176,177,174,119,156,173,168,170,172,175,176,178,179,180,181,184,182,181,171,156,176,166,123,97,138,146,105,98,170,184,168,100,157,175,169,170,174,176,177,178,180,181,178,169,185,184,148,104,97,140,126,101,69,108,121,77,127,186,152,95,164,174,171,173,175,177,180,181,180,182,171,121,115,171,145,114,76,120,136,120,84,103,128,90,118,174,150,87,151,179,171,174,176,178,180,180,182,185,168,143,92,135,159,120,97,118,149,119,90,98,129,89,96,168,140,74,119,184,171,175,177,179,181,180,193,184,178,158,120,104,168,125,97,98,150,117,85,94,125,90,62,135,135,76,85,181,172,176,177,179,179,186,185,167,192,158,129,87,150,126,93,85,146,116,75,75,103,80,61,114,140,78,84,182,174,176,178,180,179,199,198,149,177,153,138,81,120,131,95,75,137,106,65,56,76,66,78,140,132,71,110,186,174,176,179,180,185,196,183,154,154,133,108,65,101,127,86,62,97,77,61,68,79,64,94,141,125,69,138,185,174,177,180,181,187,190,168,138,146,115,74,61,99,92,70,66,82,78,58,76,77,69,121,138,124,72,162,181,176,178,181,182,183,202,198,172,140,100,93,72,96,96,57,58,102,75,63,96,87,95,135,142,108,79,179,179,177,178,181,183,184,202,201,186,159,112,99,75,111,114,64,87,113,115,137,137,131,118,129,118,85,89,188,177,179,179,181,183,185,201,203,190,172,141,113,107,100,105,144,169,164,165,158,141,136,116,97,92,64,104,192,177,180,178,182,184,185,199,203,190,166,147,121,112,124,146,178,169,172,158,149,139,128,111,80,79,56,147,188,179,180,178,180,183,184,194,199,187,169,157,131,117,135,157,173,166,164,153,142,133,117,101,83,56,114,189,180,181,180,178,180,183,185,190,195,185,172,160,139,125,149,152,163,164,155,143,130,120,108,94,61,91,189,183,181,181,180,179,182,184,186,186,192,184,173,160,142,126,136,146,150,162,147,134,123,111,100,73,72,177,187,183,182,182,180,179,182,183,186,185,188,184,172,160,141,123,116,133,139,145,138,127,116,102,78,64,166,190,182,184,183,180,181,180,181,183,185,187,187,187,173,163,141,111,104,118,126,122,119,115,103,75,63,153,192,182,184,184,182,188,175,181,182,185,193,193,183,167,166,154,123,97,104,112,114,104,96,94,72,99,166,193,184,188,188,185,189,134,75,170,173,177,145,167,195,167,157,142,126,117,115,105,106,93,81,60,127,186,183,179,183,176,166,176,121,49,42,109,111,107,31,116,204,177,166,150,143,130,111,93,95,83,66,58,104,104,106,106,89,65,55,62,45,41,37,106,108,81,58,70,143,169,165,155,139,119,99,85,82,72,53,73,98,88,67,48,35,31,37,37,38,34,31,111,107,70,68,61,61,97,133,139,127,104,88,78,71,58,36,55,78,49,37,35,34,29,29,34,39,34,32,111,96,67,67,63,59,50,67,93,94,79,69,61,53,38,20,9,23,37,30,30,31,28,25,27,34,35,34
21,165,168,170,172,174,176,177,180,183,184,184,183,182,187,185,185,186,186,184,184,185,184,186,185,183,183,182,180,167,169,172,174,176,178,180,182,183,185,183,191,199,167,186,189,188,188,187,186,186,187,187,187,186,184,185,183,168,171,174,177,178,181,183,183,184,188,184,203,229,159,160,195,190,190,190,190,190,190,188,188,189,189,187,184,170,173,175,178,180,182,184,186,187,190,191,188,229,192,135,188,194,191,192,191,191,192,190,193,183,179,190,186,171,175,177,179,181,183,186,188,190,191,193,188,211,220,162,167,197,193,194,193,193,194,191,213,172,137,194,189,172,176,179,181,183,185,188,190,192,191,192,191,197,236,200,152,191,197,195,196,196,193,198,221,160,141,197,189,174,178,180,182,184,187,189,192,193,193,194,196,192,232,217,154,171,201,196,196,197,192,213,215,144,164,198,190,176,179,182,183,186,189,190,191,193,195,195,197,191,220,228,169,155,201,197,197,198,199,227,200,141,185,198,195,178,180,183,185,189,191,191,193,195,196,197,198,195,210,225,191,146,198,201,200,196,210,218,176,139,199,196,196,179,182,185,187,190,192,193,195,197,198,200,196,208,237,216,197,130,160,208,198,201,224,209,146,159,205,196,196,180,183,186,189,191,193,195,196,197,199,198,204,214,233,220,193,157,128,189,205,212,226,199,136,192,203,199,198,182,184,186,190,193,195,196,197,198,200,202,240,209,201,238,210,202,190,154,182,204,209,164,148,209,200,201,199,182,185,189,191,194,196,197,198,201,201,212,223,223,205,189,197,229,213,151,125,167,170,130,178,209,202,202,201,183,187,189,191,195,197,198,200,202,199,215,215,188,153,106,116,203,213,165,121,133,137,127,202,205,203,204,202,185,188,190,193,196,197,200,202,204,200,219,210,152,150,134,114,154,230,191,138,115,116,140,211,205,205,203,203,185,189,191,194,196,198,201,203,205,202,223,219,203,182,143,144,139,223,215,156,114,103,158,216,206,207,206,205,186,190,193,196,197,200,202,204,206,202,234,236,194,165,146,163,159,225,233,180,130,99,163,217,206,208,208,208,189,191,194,196,199,201,202,204,207,205,238,219,173,160,165,180,190,242,232,193,148,105,158,219,206,208,208,208,188,191,194,197,200,202,204,205,207,207,236,223,194,187,186,188,217,246,225,191,152,107,158,219,207,209,208,208,187,190,194,196,200,202,203,204,207,204,237,235,205,190,196,203,231,246,222,184,159,109,155,220,207,209,209,208,189,192,194,197,200,202,203,205,208,204,234,242,216,192,201,213,241,245,227,186,158,113,159,220,209,210,210,209,190,194,197,199,201,203,204,207,210,205,230,245,219,203,201,224,246,236,220,182,154,110,164,221,210,211,211,210,191,194,197,199,201,203,206,208,211,209,225,246,223,221,211,227,246,233,212,184,149,109,158,224,212,214,213,212,191,195,197,201,203,205,208,210,212,212,218,244,232,231,225,221,240,221,204,181,142,106,155,225,213,215,213,213,193,195,198,201,203,206,210,211,212,213,211,234,239,234,227,216,225,206,191,177,137,102,161,226,214,214,218,216,187,191,195,198,203,206,208,210,213,215,212,227,244,234,215,197,207,198,181,182,133,94,189,231,221,224,205,150,138,140,142,146,148,150,153,155,155,155,156,175,242,225,198,173,183,198,179,177,123,94,173,183,181,186,131,106,113,114,115,114,113,115,118,117,114,118,105,92,223,208,179,164,177,200,168,167,109,80,96,112,119,121,100,101
17,148,149,151,152,154,156,158,159,159,160,162,164,164,164,166,167,168,169,170,170,170,171,172,171,171,172,171,172,147,149,151,152,154,157,159,159,160,162,163,164,165,165,166,168,169,171,171,172,172,172,172,172,173,172,172,173,147,149,151,154,157,158,159,160,161,163,163,166,167,167,167,169,170,171,165,158,163,148,165,173,174,173,174,174,149,150,152,155,158,159,160,161,162,164,165,166,166,168,169,171,171,173,167,132,120,111,139,176,175,174,174,174,150,151,154,156,158,160,162,163,164,165,167,168,169,169,171,172,172,175,183,144,100,90,139,178,176,176,176,175,150,152,155,157,159,161,163,164,165,167,167,168,170,170,172,173,173,175,188,155,110,82,149,178,176,177,176,176,151,153,155,157,159,162,163,164,166,166,167,170,170,171,173,174,175,175,190,167,126,92,163,178,177,177,176,176,151,154,156,158,159,161,164,165,167,168,168,170,171,159,159,175,176,176,193,169,133,112,175,179,179,178,178,177,152,156,157,158,160,163,164,166,167,169,168,169,174,158,128,150,176,181,193,166,133,121,178,180,179,179,179,178,152,155,158,159,161,163,164,166,167,167,165,167,178,165,145,132,153,170,188,165,130,118,177,180,180,180,179,179,153,156,158,159,161,164,166,166,172,173,149,134,167,180,178,169,138,114,152,158,134,119,176,181,181,181,180,179,154,156,158,160,164,165,167,167,183,181,146,123,156,165,185,184,157,111,110,135,126,116,176,181,181,181,180,180,153,157,159,162,164,165,167,172,176,161,161,140,140,126,147,192,178,133,95,111,112,110,175,182,182,181,180,180,155,158,159,162,163,165,167,176,180,144,136,125,98,87,99,192,192,153,101,94,97,103,174,183,183,182,181,181,156,158,160,162,164,166,167,180,170,136,122,125,102,99,104,181,200,167,116,90,94,98,170,184,183,183,183,182,156,158,161,163,165,167,167,184,177,158,142,133,117,127,126,172,204,172,131,93,92,97,164,184,183,183,183,183,157,159,162,164,165,167,170,189,170,148,139,131,128,145,155,186,192,172,140,98,87,94,165,185,184,184,184,184,156,159,162,164,166,168,176,187,158,140,133,132,141,151,194,203,176,161,138,97,82,89,167,186,185,184,184,184,157,159,161,165,168,168,182,189,162,145,134,136,145,175,211,201,174,152,131,96,79,90,171,186,186,185,184,184,157,159,162,165,168,168,187,192,167,151,135,139,154,200,203,193,170,145,125,93,80,101,180,185,185,185,184,184,158,160,163,166,168,167,192,191,171,159,142,144,172,211,199,188,163,135,119,90,80,127,186,185,185,185,185,185,158,160,164,167,168,167,198,192,175,167,155,147,183,208,192,185,162,128,111,88,86,161,186,185,186,185,184,184,158,161,165,167,170,169,201,198,180,176,166,153,182,200,185,178,160,126,104,84,108,182,185,186,186,185,185,185,158,162,165,167,169,169,196,202,184,180,170,162,172,194,180,176,154,123,98,83,144,187,186,186,185,185,186,185,158,162,166,168,169,169,188,205,187,177,167,167,168,185,174,178,157,118,96,86,164,188,186,186,186,186,186,186,159,162,165,167,170,171,183,202,185,174,163,165,169,177,169,180,159,118,95,95,176,188,187,187,187,187,186,186,159,162,164,167,170,170,184,199,183,173,163,163,169,175,166,178,151,115,95,119,186,188,187,188,188,187,186,186,158,161,164,167,170,170,187,200,190,175,167,168,172,174,162,173,140,109,93,151,189,187,188,188,187,187,186,186
2,148,148,148,149,148,148,149,149,149,150,150,149,148,149,148,148,149,146,147,147,146,146,146,146,144,144,143,142,150,150,151,151,150,150,151,151,150,152,152,150,151,151,152,152,151,152,148,147,145,146,147,146,145,144,143,143,152,151,152,151,152,152,152,152,152,153,153,152,149,144,135,132,113,126,160,153,149,148,147,146,146,145,144,145,153,152,153,153,154,153,153,152,154,154,151,140,117,94,76,60,52,80,134,125,145,150,148,148,149,147,145,146,155,155,155,155,155,156,154,154,150,148,132,96,67,54,51,34,33,42,73,55,139,154,150,150,150,149,149,148,156,156,157,156,156,156,156,150,142,124,86,53,35,30,26,28,32,45,50,54,138,154,151,151,152,150,149,150,156,157,156,156,157,157,155,144,138,85,40,28,23,25,33,24,25,33,44,49,61,156,151,151,151,151,149,151,157,157,156,155,156,158,153,147,119,64,24,16,25,29,28,24,36,47,49,54,110,159,152,153,153,154,153,152,158,158,158,157,158,159,150,146,94,43,21,28,27,17,32,44,35,36,70,136,159,154,156,155,151,139,147,154,158,158,159,158,159,158,150,140,91,47,24,35,21,32,40,30,61,133,156,161,156,157,158,153,134,100,112,160,159,159,159,160,163,154,154,137,90,50,33,22,27,49,43,99,156,164,157,157,157,158,155,132,131,73,120,162,161,160,160,162,155,142,160,132,86,48,35,18,40,36,88,177,158,158,159,158,158,160,142,126,113,66,153,157,163,162,161,165,144,133,161,133,96,56,31,23,38,34,141,165,158,161,161,159,159,161,129,132,78,81,166,153,163,163,162,167,142,130,165,138,109,63,29,30,28,79,173,159,162,162,161,161,162,146,122,122,69,91,167,156,163,163,163,168,139,142,171,142,115,77,35,32,21,115,177,165,168,167,163,165,147,129,132,120,56,90,170,157,163,163,163,170,140,150,173,144,119,86,41,31,25,110,166,143,137,146,157,150,128,134,130,91,53,142,161,159,164,165,165,169,138,154,173,141,120,97,47,27,36,52,79,89,95,100,107,98,120,125,98,55,133,165,158,160,165,166,166,169,137,154,171,142,125,99,54,30,41,63,91,109,110,92,90,83,91,92,51,124,169,158,162,160,165,166,166,169,135,155,168,149,130,100,57,45,50,87,101,116,105,89,73,69,70,44,106,171,159,163,163,162,166,167,167,166,138,155,165,151,127,99,66,56,48,88,95,105,101,83,65,63,38,78,172,162,163,163,162,162,168,168,170,165,143,158,162,153,125,96,73,65,49,76,87,89,90,75,63,41,59,157,168,163,165,164,164,163,168,168,170,163,150,162,160,158,126,91,75,64,48,73,74,74,71,61,43,90,158,170,165,165,165,164,164,163,170,169,171,161,155,164,156,152,116,78,65,56,47,69,61,66,52,48,124,173,169,166,165,165,164,164,164,163,169,168,170,157,157,164,153,142,104,64,57,52,51,64,54,47,55,139,177,166,167,167,166,166,166,165,165,164,168,168,170,158,151,155,152,146,114,60,60,60,57,58,33,74,156,173,168,169,169,168,167,167,166,164,165,164,168,169,168,158,153,148,152,157,129,57,66,67,64,37,72,170,168,166,169,168,167,167,166,166,165,163,163,163,168,170,163,159,165,155,157,158,135,60,68,72,60,63,163,171,168,169,169,169,167,167,167,166,165,164,163,163,169,171,162,161,164,163,159,155,132,67,62,68,52,121,178,168,171,170,170,170,167,168,168,167,165,166,164,163
7,198,201,202,203,205,206,207,209,209,210,210,210,209,209,209,209,210,211,210,210,210,208,208,207,206,203,201,200,200,201,203,205,207,208,209,211,210,211,212,212,212,212,212,213,212,213,212,212,212,211,210,208,207,206,204,203,200,203,205,207,208,210,211,213,213,213,213,214,214,214,215,215,215,214,213,214,214,213,212,210,209,208,207,205,202,206,208,209,210,212,213,214,215,215,215,216,216,217,216,216,216,216,216,215,216,214,213,212,211,211,209,208,205,208,210,212,213,214,215,216,216,217,217,217,216,218,218,218,218,218,217,217,217,216,215,214,213,213,212,210,206,209,211,213,214,216,217,218,218,219,219,218,219,220,220,220,220,219,219,219,218,218,217,215,215,215,214,212,208,211,213,215,215,217,219,220,220,220,221,221,221,221,222,222,222,221,221,222,221,220,219,218,217,216,216,215,209,211,213,215,217,218,219,221,222,223,222,220,221,222,221,222,223,222,222,223,222,221,220,218,217,217,216,215,210,212,214,216,218,220,221,225,230,230,209,189,201,213,216,214,216,220,217,218,215,217,212,221,226,216,217,215,212,214,216,218,221,227,231,231,232,232,222,186,171,190,202,203,205,200,198,203,202,208,200,216,208,208,219,217,214,217,226,231,233,232,229,227,222,217,212,180,161,173,187,195,196,194,192,191,185,192,183,181,178,209,216,216,229,235,234,232,230,225,219,210,206,212,217,191,160,151,156,168,182,188,185,185,190,190,185,192,192,196,210,206,243,237,231,225,218,213,209,206,209,217,219,194,162,158,160,156,153,147,156,166,168,175,171,174,181,180,182,200,241,234,225,215,205,201,200,202,206,214,204,179,157,155,164,170,164,149,165,217,214,209,206,206,203,206,212,224,235,230,225,213,204,201,201,198,197,206,210,184,150,138,153,163,165,160,152,226,232,231,230,229,228,228,227,226,230,228,225,217,211,206,206,205,203,209,216,192,163,161,165,157,154,143,176,234,232,233,233,231,230,229,228,228,224,221,219,217,215,210,207,204,203,207,208,191,170,170,172,164,161,151,224,234,234,235,233,233,232,231,231,230,203,201,206,213,216,214,206,200,198,195,184,172,155,152,157,159,149,196,236,235,234,235,234,234,233,233,232,229,124,133,159,190,207,205,194,188,181,172,164,152,120,101,118,147,151,226,237,235,235,235,234,233,232,232,230,206,69,68,76,99,139,169,167,171,179,195,216,221,155,122,136,156,201,236,238,237,236,235,234,233,233,231,196,140,63,60,58,57,61,79,186,226,233,236,237,238,221,188,207,225,237,238,238,237,236,236,236,222,190,168,133,113,58,54,51,50,48,94,234,236,237,237,237,238,238,237,238,238,238,239,239,238,239,232,199,149,132,121,109,96,52,50,47,46,44,95,236,237,237,238,239,239,238,238,238,239,240,240,240,239,230,164,114,105,115,106,100,94,50,52,49,45,38,89,236,237,238,238,238,240,240,240,239,241,241,241,242,235,187,129,95,79,94,94,89,91,57,59,54,43,28,79,219,221,224,226,227,229,230,231,231,233,234,234,229,165,115,123,94,71,75,87,83,84,67,61,47,28,28,57,144,147,149,151,153,156,159,159,161,163,163,167,162,120,92,117,92,63,65,74,76,77,73,54,34,26,32,71,133,132,131,133,133,133,134,134,134,132,133,147,141,105,83,111,87,60,62,67,71,72,66,40,29,30,34,95,140,139,139,140,140,139,139,138,138,137,139,129,114,99,80,105,79,61,59,63,66,68
17,188,191,194,196,198,200,200,201,203,203,203,204,203,202,201,201,201,199,198,198,196,196,194,191,190,188,186,183,189,193,197,200,201,201,203,204,205,205,206,206,206,205,205,204,205,202,201,202,199,197,196,194,193,190,188,185,193,198,200,202,204,205,206,206,207,208,209,209,209,209,208,206,206,204,206,205,202,201,198,197,195,193,191,189,195,200,202,204,207,208,207,209,210,210,211,212,212,213,212,206,212,210,204,208,205,205,202,200,197,196,193,191,199,203,205,206,207,210,211,211,212,213,214,215,214,215,210,222,224,177,166,215,207,206,205,204,200,198,196,195,200,205,207,209,210,213,214,214,214,215,216,215,215,217,211,231,255,148,134,218,209,209,207,206,204,202,199,198,204,206,209,212,213,215,216,217,218,218,218,218,218,219,217,218,255,187,143,220,211,212,211,208,207,205,203,201,207,209,213,214,215,216,218,220,221,221,221,223,222,222,221,221,255,231,158,217,215,213,212,211,209,208,207,204,208,212,215,217,218,220,221,222,223,223,223,224,225,223,221,231,255,255,164,203,222,216,216,214,212,211,209,207,211,214,216,220,222,223,224,224,225,227,228,226,225,226,219,248,255,255,167,188,228,219,218,215,215,214,212,209,213,216,219,222,224,224,225,227,228,227,226,227,255,255,212,213,255,255,175,177,231,220,221,218,216,215,214,211,215,218,221,224,226,226,229,229,229,232,237,228,255,255,241,185,214,248,192,168,231,222,222,222,219,217,217,214,217,220,223,226,228,229,231,231,228,255,255,232,209,255,252,255,255,189,155,160,231,225,225,223,222,219,217,216,219,222,225,227,229,230,232,231,237,255,255,250,190,209,187,255,255,212,131,139,231,229,227,225,223,222,220,218,221,223,228,229,230,231,235,234,242,255,182,206,232,143,115,147,255,251,158,115,222,233,228,228,224,224,223,221,222,225,228,230,232,234,237,234,248,255,202,187,176,146,145,117,253,255,201,108,195,239,228,229,227,226,224,222,225,228,229,233,235,237,240,235,252,255,249,203,174,174,184,162,238,255,229,128,186,242,230,232,230,226,225,224,228,229,230,234,237,239,240,236,255,255,213,183,188,207,212,224,255,255,239,147,182,246,233,233,234,238,236,224,227,229,233,235,237,238,240,237,255,255,234,207,204,228,222,255,255,255,224,154,179,249,234,239,223,182,172,141,228,230,232,235,237,237,240,238,252,255,255,221,204,232,247,255,255,255,208,147,185,247,237,228,139,118,115,109,228,230,233,235,238,239,241,241,251,255,255,244,212,238,255,255,255,249,199,139,180,245,243,177,113,122,117,115,228,233,235,237,240,241,243,244,249,255,255,255,234,234,255,255,255,240,192,126,185,255,188,114,101,87,79,63,228,233,237,239,242,244,244,245,246,255,255,255,255,242,255,255,254,232,191,119,176,179,113,100,90,68,66,49,231,234,238,241,242,245,245,246,244,255,255,255,255,246,241,255,242,230,177,122,116,113,112,101,82,56,52,55,224,229,234,238,240,243,245,248,246,255,255,255,255,233,222,240,227,230,172,116,96,108,104,108,97,60,41,45,144,147,152,155,152,152,157,161,159,187,255,255,243,213,209,216,228,219,157,107,69,89,91,87,111,85,43,35,121,126,127,123,123,123,122,122,120,146,255,248,216,199,202,212,226,196,124,97,77,53,80,69,96,105,58,32,134,137,137,133,137,140,139,137,145,90,242,244,210,198,211,208,200,161,93,26,57,47,57,61,74,103,77,38
12,184,186,188,191,193,194,198,202,202,204,203,204,206,204,204,206,205,204,206,206,205,203,204,204,202,201,201,200,186,190,191,194,196,197,200,203,205,206,205,206,206,207,208,207,208,206,208,209,208,206,206,204,204,203,203,202,187,190,193,195,197,199,202,203,205,208,208,207,209,210,208,210,210,210,210,211,210,210,210,208,207,206,204,204,187,190,194,196,197,200,203,204,206,207,209,211,212,210,210,213,213,211,210,212,212,213,212,210,209,209,207,206,189,193,196,198,201,203,205,207,208,211,212,213,213,211,217,215,213,213,216,214,211,212,211,211,210,210,210,208,191,193,196,199,203,205,208,209,210,212,212,211,214,212,198,209,220,204,177,204,217,211,211,213,213,213,213,211,193,195,198,201,203,206,210,213,213,212,214,209,237,236,173,167,247,197,126,133,228,216,221,213,214,214,214,213,195,197,200,203,204,206,209,212,214,214,213,212,255,248,187,156,241,192,125,82,178,163,173,222,214,216,216,216,197,200,203,205,208,209,210,212,212,216,225,175,188,233,178,144,233,185,117,92,198,151,78,180,225,215,217,219,196,199,203,206,209,211,214,216,208,249,239,192,118,176,172,131,226,185,104,139,213,163,89,118,233,217,218,218,197,200,202,206,210,212,215,214,228,255,255,205,136,117,196,130,246,229,139,170,220,177,93,106,231,220,219,218,198,203,205,207,211,213,216,210,252,235,248,208,140,101,214,135,213,214,110,181,255,195,85,110,233,220,221,221,200,203,207,210,211,216,217,216,255,226,232,208,139,81,128,114,77,152,129,180,204,127,56,120,234,220,221,222,203,206,208,210,213,218,213,248,255,205,215,203,142,87,59,62,57,187,234,215,180,150,68,131,236,221,224,222,204,207,210,213,215,217,217,255,243,183,189,196,144,98,80,85,188,221,207,195,168,155,96,156,239,224,225,222,205,207,211,214,217,217,229,255,231,199,162,185,190,98,69,215,249,215,195,178,140,122,94,161,239,224,227,225,206,208,212,216,219,215,246,255,236,215,170,144,158,98,160,255,247,211,189,167,129,114,83,174,240,226,229,226,208,211,212,217,222,215,255,255,236,207,195,153,149,177,247,255,244,203,180,152,119,107,77,194,239,229,229,228,209,211,215,218,223,217,255,255,239,217,203,171,175,186,253,255,235,194,168,142,113,105,66,180,242,226,230,229,211,212,215,219,223,218,254,255,245,227,215,187,162,201,255,253,221,191,157,129,107,97,67,206,239,228,230,230,211,214,218,220,223,221,247,255,246,227,214,193,170,228,248,230,207,183,150,119,105,70,144,244,230,230,231,231,212,216,219,221,224,223,240,255,238,222,201,183,195,234,217,212,191,166,137,113,77,127,240,235,233,232,234,232,214,216,219,221,224,223,246,255,231,220,197,194,218,231,203,202,178,150,128,92,121,237,237,236,236,234,234,233,215,217,221,223,228,220,255,255,240,231,212,211,230,228,200,189,166,145,110,98,223,241,236,237,235,235,235,236,216,219,222,225,229,220,255,255,255,233,221,227,229,211,195,161,145,125,86,175,244,238,239,237,237,237,236,235,216,220,223,224,226,227,255,255,255,239,231,229,213,199,173,140,133,88,143,242,241,242,240,238,238,238,237,236,216,221,224,227,223,232,255,251,255,232,227,213,206,179,154,136,112,99,220,246,242,244,242,239,239,238,238,237,218,221,226,229,220,238,255,230,226,213,212,216,196,162,156,131,89,152,243,244,244,244,243,241,240,240,239,238
2,178,179,178,178,178,178,178,177,177,176,176,176,175,174,173,172,171,170,172,170,169,168,168,169,167,165,163,162,179,180,180,180,180,179,179,179,179,178,178,178,178,177,176,175,174,172,173,172,171,170,169,168,167,165,164,164,180,180,181,181,181,180,180,180,180,180,179,179,179,178,177,171,169,172,172,175,175,174,171,169,168,166,166,166,181,182,183,183,182,182,182,181,182,182,180,181,178,183,183,169,161,161,157,153,158,166,177,171,170,168,168,168,183,184,183,184,184,184,184,184,184,183,182,179,191,196,183,175,170,161,155,139,130,110,127,179,171,170,170,168,184,185,184,183,185,185,184,184,184,184,182,191,200,195,190,190,189,170,159,157,128,124,94,143,175,173,170,169,185,186,186,185,186,186,186,186,185,183,188,199,197,201,140,122,150,116,109,159,152,142,121,104,112,157,173,169,187,187,187,187,187,187,187,188,186,184,196,200,186,164,109,71,77,75,75,104,126,111,84,84,77,151,177,170,189,189,188,189,190,190,189,187,189,199,210,165,116,98,83,74,71,78,165,154,162,142,107,93,125,177,173,172,190,191,191,190,190,191,189,191,207,213,198,149,108,82,64,66,67,125,191,184,185,185,181,173,179,175,174,174,191,192,193,192,192,192,189,203,213,208,177,140,113,94,79,64,115,183,182,182,182,179,180,181,178,177,175,175,193,193,193,193,193,186,200,214,207,179,137,109,98,85,71,119,194,184,185,185,182,181,180,181,180,177,176,174,195,195,195,195,188,199,221,213,195,176,130,80,76,81,75,170,190,184,186,185,184,183,181,181,180,178,177,175,196,196,196,189,200,224,219,199,180,176,130,93,79,68,114,195,186,187,188,186,186,185,184,181,181,180,178,176,196,199,192,200,225,221,204,190,191,153,114,91,72,61,173,196,189,187,188,188,186,185,184,183,183,182,178,177,200,198,195,224,226,215,196,199,177,136,112,79,71,62,153,202,189,190,190,189,188,186,189,186,174,177,184,178,200,195,220,229,223,208,196,186,159,130,100,64,69,70,82,181,194,191,190,189,189,191,172,149,146,129,159,184,196,212,231,223,215,200,189,178,153,114,82,65,72,74,67,115,203,188,194,195,194,154,129,147,154,104,140,187,205,231,224,215,203,195,181,167,136,97,76,76,85,85,82,80,170,204,184,150,120,120,142,149,107,134,185,179,232,233,219,209,195,182,170,154,117,93,79,90,99,99,95,83,90,135,105,106,98,120,140,104,113,192,183,182,138,208,218,200,190,173,163,140,114,94,85,100,103,102,95,91,83,91,94,113,121,118,109,69,172,189,185,185,72,95,161,176,169,164,150,139,110,85,88,105,101,100,96,92,89,101,108,112,115,97,68,107,193,186,186,185,81,73,72,116,134,124,118,100,81,79,85,97,95,95,91,91,95,100,102,93,85,102,146,186,191,188,187,186,71,77,72,69,79,82,74,63,69,74,74,86,91,89,79,78,73,73,90,126,164,193,200,193,192,191,189,187,72,70,69,74,70,50,55,61,58,59,64,71,66,62,83,102,110,144,187,203,202,197,193,193,192,190,189,187,71,67,68,65,75,54,31,44,43,42,57,69,92,140,188,203,206,207,202,198,197,196,195,194,193,191,190,188,69,67,66,63,74,68,29,34,39,30,73,184,212,212,207,204,201,200,200,200,199,199,197,196,194,192,191,189,65,63,61,59,67,69,30,30,34,33,27,66,191,208,203,205,204,204,203,202,201,199,199,197,195,194,192,190
19,108,115,122,127,132,132,135,138,142,144,147,151,152,155,158,158,160,161,163,165,166,167,168,167,167,169,169,169,109,116,122,129,131,133,137,139,144,147,151,153,156,158,158,160,163,164,166,166,169,170,168,170,168,171,170,170,110,118,125,130,133,136,138,141,146,150,152,154,159,161,158,163,164,166,167,168,169,167,177,163,169,171,171,171,112,120,127,131,135,137,139,144,148,148,165,160,134,152,166,163,165,168,168,170,165,186,200,106,154,175,171,172,114,122,129,133,136,137,142,146,151,148,198,168,122,99,159,166,165,168,177,180,191,192,131,95,168,175,173,173,114,123,130,136,138,139,142,149,153,147,188,185,137,122,167,182,170,175,189,187,168,119,93,156,179,176,175,175,115,123,131,138,139,138,150,140,145,153,171,184,175,182,175,172,164,148,162,142,100,113,164,181,175,177,177,176,118,125,132,138,133,177,185,148,139,145,160,166,158,145,138,145,132,111,109,113,148,183,180,177,178,178,178,179,118,127,134,136,144,200,160,150,154,161,170,168,157,144,139,123,122,94,164,179,184,178,179,180,179,180,180,180,118,127,137,131,159,179,137,138,148,164,168,164,163,157,133,94,83,114,191,179,179,181,181,180,180,181,182,182,120,127,137,132,182,182,152,152,159,153,142,139,139,118,106,88,69,141,188,180,182,182,181,181,183,184,182,183,121,129,135,142,218,192,171,167,169,161,158,152,133,83,83,86,75,164,187,182,183,183,183,183,185,184,184,183,123,131,135,149,209,185,164,148,140,151,153,145,117,84,80,87,86,175,184,184,186,186,186,185,185,185,186,185,124,132,136,146,190,179,151,129,106,101,116,116,115,86,85,82,114,188,182,185,187,186,187,188,187,187,187,186,124,133,138,144,182,181,151,100,89,60,60,111,124,91,89,84,111,192,184,186,187,187,188,189,189,189,187,187,126,135,141,141,181,184,152,112,78,49,99,123,115,83,82,81,89,182,188,187,188,189,190,190,190,190,190,190,126,135,144,137,182,182,152,122,98,69,68,72,66,65,75,84,87,176,191,188,190,190,190,191,190,191,190,190,126,136,143,136,189,185,154,127,101,89,79,62,63,73,80,85,90,179,191,188,189,191,191,190,191,191,190,190,128,137,144,133,187,184,153,125,104,96,95,79,71,75,82,81,100,187,188,190,192,194,193,192,192,194,192,192,129,136,144,132,177,175,148,123,101,94,92,80,72,79,86,82,126,197,187,192,193,194,193,193,194,194,193,193,131,137,145,136,175,169,144,117,100,94,91,81,78,84,90,82,164,196,190,193,193,194,195,195,195,195,195,195,132,139,144,147,180,164,139,113,98,93,93,87,86,89,80,115,192,189,192,194,195,195,195,196,195,195,195,195,132,141,141,153,185,162,134,110,96,95,96,91,87,83,125,185,190,191,193,194,194,195,196,195,195,195,196,196,133,142,141,158,176,158,136,116,101,97,96,93,79,118,191,187,189,192,194,195,195,196,196,196,197,196,197,197,133,142,142,167,170,149,133,117,99,89,87,87,81,162,190,187,192,193,194,196,197,197,197,197,198,199,198,197,133,142,146,185,164,146,122,106,93,82,81,80,92,176,188,190,193,194,195,197,197,198,199,199,199,199,200,200,134,138,154,189,167,151,130,116,116,88,80,75,105,185,187,191,192,194,195,196,196,198,199,199,199,199,200,200,134,143,151,175,170,154,136,129,122,88,81,73,107,188,185,188,191,193,195,196,197,197,198,198,199,199,199,200
19,180,180,183,185,185,186,189,189,190,190,192,191,189,189,188,190,191,187,187,186,186,185,184,183,182,181,180,180,181,183,184,187,188,189,191,192,192,192,191,192,191,189,189,168,170,192,189,188,188,188,188,187,184,184,182,182,182,184,187,189,191,192,192,193,194,193,194,193,190,201,195,146,94,175,194,189,189,190,189,188,186,183,182,184,183,185,189,190,192,193,194,194,193,193,194,195,190,214,193,153,87,139,203,189,190,190,189,189,187,185,186,185,185,188,191,192,193,194,196,197,196,195,196,196,194,218,188,156,89,126,205,189,192,191,191,191,188,187,188,187,187,190,192,194,196,196,199,198,199,198,198,197,199,217,175,145,80,119,207,191,194,192,190,188,191,188,189,188,189,192,194,197,198,198,199,199,199,199,200,197,204,217,159,117,75,122,205,185,189,182,197,204,173,190,190,190,190,193,196,197,199,199,200,200,199,200,200,197,202,211,173,148,167,188,195,181,202,182,227,239,127,189,190,191,192,195,197,198,200,203,203,201,200,200,205,209,206,197,198,196,215,219,203,186,201,191,178,157,138,198,192,192,194,196,198,200,202,203,203,202,210,218,225,232,226,206,180,172,172,170,156,136,126,125,123,144,191,195,195,194,197,199,199,203,201,210,213,208,223,232,231,221,202,190,179,170,129,88,112,133,157,171,195,203,197,196,196,194,198,199,202,203,209,233,221,215,213,211,211,208,209,208,207,211,154,90,199,206,208,204,201,198,197,197,196,195,199,200,205,201,219,238,225,221,212,215,222,223,219,211,207,194,144,74,188,205,200,201,201,199,199,197,196,197,201,204,207,205,216,237,223,213,219,227,226,228,218,203,199,177,123,62,143,215,200,204,201,200,199,199,198,197,203,206,207,206,216,231,207,203,210,221,225,210,198,209,216,215,147,66,88,208,206,205,204,202,200,200,199,198,204,206,210,207,225,217,198,200,201,187,186,211,227,217,208,219,148,70,63,185,212,206,205,204,203,203,200,199,205,208,210,210,224,200,201,207,203,187,212,226,208,197,198,189,129,75,50,163,218,206,206,206,205,204,204,203,205,208,212,211,216,217,223,220,225,231,227,212,202,195,181,154,105,70,49,183,214,207,208,207,207,206,204,203,206,210,213,213,211,236,235,220,217,219,217,202,183,178,195,203,153,52,124,221,208,208,208,209,209,208,206,205,208,210,213,215,210,225,237,211,203,193,161,153,197,223,222,222,178,67,160,223,209,211,209,210,209,207,207,207,208,212,214,216,216,208,224,205,196,185,179,207,235,212,185,180,153,71,102,226,211,213,210,212,210,208,207,206,209,212,214,217,219,212,211,227,225,216,223,224,205,184,171,158,120,49,139,227,212,214,213,212,210,208,208,206,209,212,215,217,222,216,208,230,229,202,201,202,187,169,146,107,99,146,209,218,215,215,215,213,211,210,210,208,209,212,214,218,222,217,204,214,215,187,187,177,155,130,91,56,185,231,216,217,216,215,215,214,212,212,211,209,208,211,214,216,220,215,196,207,203,172,161,140,113,89,72,60,166,226,214,215,215,214,213,213,211,211,210,208,210,213,215,217,220,219,191,195,195,163,146,143,126,81,75,60,109,231,215,217,216,214,212,213,212,212,211,209,211,214,216,219,221,219,194,187,184,161,137,118,99,77,73,59,106,230,216,217,216,214,213,214,214,212,210,209,211,215,217,219,222,216,193,194,178,173,146,114,88,81,77,58,117,234,217,218,217,215,215,215,214,213,212,210
12,136,139,142,144,146,149,150,152,154,156,158,160,163,165,163,163,165,166,167,168,167,168,166,167,167,169,170,169,137,140,144,146,148,150,151,154,155,157,160,162,164,166,168,169,166,167,163,161,171,169,169,170,169,170,170,170,139,143,145,147,149,151,154,155,156,158,163,163,164,152,133,153,172,172,150,116,129,178,173,174,175,171,173,170,140,144,145,148,150,153,154,156,159,161,161,167,182,156,134,110,175,181,156,131,86,166,154,147,158,176,172,174,141,144,147,150,150,153,155,158,160,162,161,177,197,173,157,107,148,189,150,142,103,97,133,129,101,152,180,173,143,145,148,150,152,154,157,160,161,163,162,181,198,182,156,114,145,195,152,143,98,78,148,132,100,87,181,174,144,146,150,152,154,156,158,161,162,164,165,180,198,194,164,129,143,199,159,140,85,93,159,128,90,66,164,180,145,148,150,153,155,157,159,162,165,165,166,169,160,190,175,137,132,192,152,124,70,104,161,124,87,64,153,185,146,149,151,153,156,158,161,162,164,165,177,152,106,132,171,120,117,170,130,114,74,96,151,122,91,63,150,187,146,149,152,155,157,159,162,164,163,183,182,134,112,90,141,109,102,156,125,116,77,92,142,121,94,60,150,189,148,150,153,156,157,160,163,161,179,182,169,144,126,89,105,111,84,146,124,100,74,92,145,125,94,61,164,184,148,152,154,156,157,160,163,165,180,149,166,158,127,97,73,107,98,129,145,111,81,115,181,146,100,71,182,180,149,152,155,156,159,162,163,171,182,146,150,153,122,102,62,105,115,125,165,126,85,131,186,153,83,64,176,184,149,154,156,157,160,163,163,174,176,153,129,143,128,101,58,74,104,78,124,121,64,110,143,94,78,77,107,189,151,154,155,158,161,164,163,178,177,153,122,146,123,90,71,40,49,30,101,149,136,153,142,116,104,93,82,176,151,154,156,159,162,164,163,180,180,153,127,133,118,86,77,44,50,81,163,177,173,162,148,123,102,86,91,181,152,155,158,160,163,164,165,180,179,153,125,115,117,94,87,51,70,137,178,176,171,154,139,115,96,78,103,191,153,155,159,161,163,166,167,182,179,160,142,116,102,109,89,69,114,176,179,186,168,146,130,111,93,74,116,195,153,156,158,161,164,166,166,182,177,165,152,139,117,103,105,124,152,188,185,190,160,137,123,103,88,75,155,192,154,156,159,163,165,166,166,180,181,170,155,148,143,125,128,142,152,189,188,181,148,127,117,100,80,100,189,186,154,156,159,162,164,167,168,175,180,174,160,154,152,140,128,134,149,192,184,165,141,121,109,95,73,131,194,184,153,155,159,160,163,167,169,172,174,172,165,158,153,144,131,125,155,192,178,153,136,115,99,90,73,159,193,185,154,155,158,161,164,168,169,170,167,170,166,159,155,144,129,119,153,178,167,137,123,107,92,82,86,183,188,186,154,156,159,162,165,167,169,170,171,171,169,161,155,144,132,115,148,164,149,125,112,96,89,72,127,193,185,187,154,156,159,163,166,167,169,171,172,175,166,156,150,137,123,110,143,147,127,116,100,88,83,83,175,189,186,187,154,157,159,161,165,168,169,171,170,173,157,141,136,122,105,111,136,135,116,109,93,88,77,135,193,186,186,187,154,157,160,161,165,168,169,169,168,176,151,137,129,108,106,113,133,130,114,104,93,82,92,182,188,186,187,187,154,157,160,164,166,168,172,165,174,180,152,146,131,115,118,121,137,126,113,94,86,74,137,191,186,188,188,188
21,5,41,53,57,64,75,88,95,101,106,109,112,114,116,118,125,124,125,126,127,129,131,131,131,132,133,133,133,10,44,53,59,65,76,89,96,102,106,109,112,114,122,120,98,124,127,128,129,130,132,133,134,134,135,135,134,15,46,54,60,66,79,90,98,103,107,111,115,112,138,127,60,117,131,129,131,132,134,135,136,136,136,136,136,20,49,55,61,67,80,92,99,104,109,112,116,113,139,128,67,112,134,131,133,132,134,136,136,136,137,137,138,26,51,55,62,70,82,93,99,105,109,113,117,114,140,126,69,106,136,131,134,135,137,138,139,138,141,140,140,31,52,56,63,71,84,94,102,107,110,115,119,115,140,131,77,102,139,132,135,137,138,141,139,101,111,146,141,37,53,57,65,72,87,95,103,108,112,116,119,117,138,133,83,93,141,135,137,139,139,143,125,76,97,149,141,42,53,59,65,74,87,96,104,109,115,118,119,118,137,131,88,82,140,136,138,140,144,139,107,74,134,146,143,45,54,60,66,75,89,97,104,110,115,118,119,119,143,141,90,78,140,136,139,141,147,129,86,99,151,144,145,48,55,61,67,77,92,99,106,111,115,118,122,121,148,146,99,84,141,138,140,142,133,109,77,139,148,146,146,51,56,61,68,78,92,99,107,112,115,118,121,118,139,132,94,80,138,137,142,143,127,80,103,154,146,147,147,52,56,62,69,80,93,101,107,112,117,120,147,117,107,107,78,77,139,139,143,143,113,74,140,149,147,148,148,53,57,64,70,82,94,101,107,114,115,125,153,113,79,73,62,79,126,133,137,132,77,106,155,147,149,149,149,54,58,64,70,82,96,102,108,114,117,146,118,96,76,51,59,81,114,123,121,94,72,147,148,149,149,150,150,53,58,64,70,84,97,103,110,110,145,156,135,110,95,57,50,71,95,106,95,62,114,156,147,150,150,150,150,54,58,65,72,86,96,103,109,114,153,146,162,145,112,68,49,67,78,92,77,73,152,150,150,151,151,151,151,54,59,66,73,87,96,104,106,129,132,131,156,145,91,64,55,59,70,78,60,113,157,150,151,152,152,152,152,54,60,67,74,89,97,107,107,144,141,113,89,115,91,69,58,56,61,63,59,139,153,152,152,152,152,152,152,56,61,67,74,89,97,106,109,145,116,87,75,108,106,76,59,57,55,59,60,143,153,152,154,154,154,154,154,57,62,67,75,89,98,105,117,154,122,117,103,103,125,85,69,62,57,54,61,145,155,153,153,154,155,155,155,56,63,68,75,90,99,104,123,154,133,120,96,151,152,96,88,66,53,53,69,151,153,153,154,154,155,155,155,56,63,69,78,92,99,103,127,163,142,110,122,175,140,101,91,68,54,51,78,156,152,154,154,154,155,155,156,57,64,69,78,91,99,103,128,163,125,110,136,156,120,91,84,72,58,48,100,161,152,154,155,155,155,156,156,59,64,67,78,92,100,105,124,148,120,119,131,148,117,100,76,71,59,49,124,157,152,155,155,156,156,157,157,58,63,67,79,93,101,105,120,134,134,131,128,150,114,109,83,60,57,54,139,156,153,155,155,156,157,157,157,58,63,69,82,92,99,108,114,138,153,118,131,145,104,94,78,58,52,65,148,154,154,156,156,156,157,157,157,57,62,67,81,91,98,108,110,136,147,117,114,128,91,77,64,57,45,81,154,150,154,156,156,156,157,157,157,56,61,65,79,89,98,106,111,125,131,116,114,114,91,77,67,58,41,93,156,148,153,154,154,155,156,156,156
6,194,196,198,199,201,201,202,203,203,203,202,202,201,200,199,199,197,196,195,194,193,192,189,188,187,185,183,182,194,196,199,201,202,203,203,204,205,205,203,202,201,202,201,200,200,198,196,195,195,194,192,190,188,187,185,183,196,199,202,202,203,204,206,206,207,206,205,204,205,203,202,201,201,200,199,197,196,195,194,191,189,188,186,185,197,200,203,204,204,206,207,208,207,207,207,206,205,204,203,202,201,201,200,199,198,196,194,193,191,189,188,187,199,202,204,204,206,208,207,208,208,208,208,207,207,206,206,204,203,202,201,200,199,196,195,194,191,190,189,188,198,202,204,206,207,208,208,209,209,209,209,209,209,207,206,205,204,202,201,201,200,198,197,197,194,191,191,188,199,202,205,207,208,208,208,208,209,209,208,208,209,208,207,208,208,208,206,203,203,203,201,195,191,188,186,188,200,203,205,207,209,209,208,209,209,210,213,213,214,212,209,203,195,182,171,157,146,154,156,148,136,151,174,159,201,204,207,207,208,210,212,214,213,210,199,186,175,171,166,161,153,147,138,130,121,134,132,135,133,135,148,130,201,204,208,210,212,207,197,185,179,170,155,146,141,144,148,155,154,148,129,122,114,110,111,116,113,114,132,165,205,207,205,196,185,164,153,153,150,148,145,132,115,118,122,113,111,113,117,127,140,155,165,174,178,187,196,197,188,173,163,162,161,156,154,154,153,152,150,141,105,88,80,125,163,179,196,205,213,211,209,206,205,200,195,193,168,161,164,168,166,163,161,162,162,162,159,146,109,95,90,171,213,224,218,209,205,203,202,202,200,198,196,195,170,168,165,164,161,159,156,153,155,158,147,120,96,98,105,95,104,141,191,215,207,207,205,203,201,198,197,196,173,169,165,162,159,155,150,146,142,140,128,107,95,101,107,108,104,91,91,163,214,206,205,203,201,200,199,197,170,166,162,158,156,150,147,144,141,148,145,118,89,82,97,112,114,112,97,104,212,207,207,205,202,201,199,196,164,160,156,151,148,144,143,138,141,152,154,122,92,86,81,77,88,104,86,137,218,207,207,206,203,202,200,198,160,156,147,142,143,139,137,129,130,138,125,103,97,101,101,90,73,91,155,209,212,210,208,207,204,202,201,199,149,149,143,136,133,131,127,119,116,121,106,87,89,100,102,100,89,108,219,214,211,209,207,206,205,203,201,200,140,146,142,135,129,127,125,122,125,128,112,81,73,85,97,104,93,83,200,215,209,209,207,206,206,205,201,200,128,140,142,139,132,123,120,124,133,128,108,92,95,93,82,85,97,155,218,212,212,211,209,207,206,204,201,200,98,110,122,131,127,120,117,116,113,101,91,88,90,93,75,119,210,220,215,214,213,210,209,208,206,203,201,201,42,111,157,126,109,113,117,123,124,137,155,153,122,101,117,198,224,213,216,214,213,212,209,208,207,206,203,200,34,176,228,210,199,205,211,216,219,225,228,228,222,211,223,220,214,215,215,213,212,210,209,207,206,205,203,200,79,208,209,212,217,217,217,218,218,217,216,216,218,220,216,214,215,214,214,213,210,208,207,205,204,203,201,199,165,214,208,210,212,214,214,217,219,219,219,219,218,217,217,215,215,214,213,212,210,208,207,205,204,202,201,200,209,206,210,212,213,214,216,218,219,219,219,219,219,219,218,216,215,214,212,212,210,209,207,206,204,201,200,199,202,207,210,212,213,215,216,217,217,218,218,218,218,218,218,216,214,213,212,212,210,208,206,204,204,201,199,198
18,34,38,41,45,51,58,63,70,78,87,94,99,104,108,111,112,116,121,122,125,128,132,135,136,139,140,140,144,34,38,42,47,53,60,63,70,79,88,95,101,107,108,110,113,118,122,123,127,130,131,134,136,139,140,142,145,35,38,43,47,52,60,64,71,80,89,95,103,107,109,112,114,120,123,124,128,132,134,136,138,139,141,145,146,36,40,44,48,53,60,64,72,83,90,97,103,109,111,112,116,118,123,128,132,133,137,140,140,139,142,146,148,36,39,44,49,55,62,65,73,83,93,100,105,109,111,116,115,127,124,109,126,138,132,130,145,146,144,146,148,36,39,44,48,57,62,66,74,83,93,103,102,112,120,106,120,169,112,75,65,141,146,97,85,147,148,148,150,37,40,44,47,55,62,68,78,86,96,101,98,173,131,73,127,156,116,110,114,170,144,95,51,68,151,149,150,38,41,45,48,57,64,67,78,82,99,93,140,202,131,86,147,151,122,135,143,143,110,102,90,35,109,161,151,39,43,45,49,58,66,71,72,103,159,95,105,182,131,120,114,128,113,121,125,101,91,112,103,68,63,164,153,40,44,46,51,58,64,72,64,179,180,123,75,138,160,123,83,84,105,79,87,59,112,120,110,98,45,112,170,41,44,47,50,60,66,63,89,204,178,151,114,87,171,127,86,62,141,78,30,49,149,127,129,117,78,46,142,40,43,47,50,59,68,55,124,165,167,172,139,63,115,141,92,41,125,119,59,5,110,132,147,133,93,58,56,41,44,47,54,60,69,56,139,122,115,156,111,57,55,112,74,33,64,85,36,20,110,156,167,137,98,73,47,42,44,46,54,59,68,55,163,157,109,126,57,44,22,56,50,15,19,17,64,166,171,147,147,127,98,78,62,41,45,47,52,61,65,59,179,162,126,130,49,37,8,42,47,2,0,78,186,179,157,148,123,102,85,75,52,41,45,48,52,62,61,83,196,157,119,106,60,32,0,39,36,0,59,190,193,181,158,132,107,77,67,59,60,42,44,46,52,60,62,77,217,181,149,131,98,59,43,45,40,73,176,198,194,179,142,120,93,66,59,44,103,43,44,48,55,60,63,73,214,194,168,150,118,95,101,90,99,167,196,195,187,159,126,105,83,62,51,48,149,41,45,48,55,61,66,72,213,204,177,149,123,109,116,113,144,187,188,185,167,138,114,91,73,61,41,79,174,41,45,48,54,61,68,68,207,203,177,152,134,130,124,132,164,182,187,169,143,127,103,81,71,62,35,125,174,43,46,48,55,62,69,65,184,205,182,162,150,144,140,149,165,170,172,144,120,110,89,72,63,52,56,166,168,43,46,49,57,64,71,65,151,207,186,183,166,148,140,145,150,150,145,126,107,93,77,64,61,39,112,175,163,43,46,50,59,65,70,71,115,204,193,199,178,154,136,121,122,126,121,116,93,77,68,60,48,52,162,167,166,43,46,51,59,62,69,80,83,185,194,186,177,155,129,112,105,112,110,107,87,67,64,62,32,103,173,165,168,43,45,50,58,64,68,85,81,138,191,158,155,145,124,106,103,107,112,110,91,71,65,52,35,150,168,167,171,43,46,50,58,64,67,80,89,100,176,158,136,122,103,102,110,92,99,105,89,69,62,38,62,169,163,167,171,41,46,51,58,63,69,83,96,93,150,141,117,122,109,123,128,93,88,104,89,67,62,30,85,176,163,167,170,40,44,50,57,61,70,81,94,94,131,153,128,137,123,118,123,98,78,95,89,68,56,27,74,176,165,169,170
12,170,170,170,170,170,171,171,170,170,168,166,166,166,165,165,164,163,163,162,160,159,157,156,156,156,155,153,152,173,173,172,172,172,172,173,172,172,170,169,169,168,167,167,166,165,164,164,163,163,161,159,158,157,157,156,154,175,175,174,174,175,175,175,175,175,173,172,172,170,170,169,168,168,167,167,166,165,163,163,161,159,158,157,157,178,178,177,177,178,178,177,178,178,177,175,175,173,172,169,171,171,170,169,169,167,165,165,163,162,160,159,158,180,179,179,179,179,180,179,180,179,179,178,178,175,163,140,144,171,171,160,149,154,168,167,165,165,164,162,161,183,182,180,181,183,182,182,181,181,180,180,179,179,165,139,106,145,165,150,123,102,147,172,168,168,166,165,164,185,185,183,183,185,185,184,182,183,182,181,181,187,181,153,121,101,136,160,131,93,104,163,157,163,168,167,166,186,186,185,185,186,186,186,185,185,185,183,186,190,191,168,138,96,97,163,141,105,78,104,119,114,151,170,168,187,187,187,187,187,187,188,188,187,186,186,187,176,183,173,140,108,79,150,145,115,70,67,105,89,102,170,171,189,189,189,188,188,188,189,189,187,177,168,176,171,174,168,134,98,65,139,143,116,67,58,97,80,67,161,173,190,190,190,189,189,190,190,188,185,161,132,137,158,156,161,124,87,68,147,137,108,62,57,91,75,61,159,175,192,191,191,191,193,193,190,184,186,168,148,129,127,119,160,133,96,80,153,130,100,60,69,99,78,76,172,176,193,192,193,193,195,194,191,187,185,181,168,150,110,90,160,158,111,90,155,133,96,66,98,110,75,109,180,178,195,195,195,195,196,194,194,181,161,174,177,160,127,97,153,156,109,96,169,149,100,91,123,106,70,143,181,179,197,197,197,196,197,194,196,180,138,139,169,163,132,89,109,127,89,107,176,146,97,119,145,111,79,165,182,180,198,198,199,199,198,196,200,193,156,101,120,150,114,74,56,67,50,77,144,125,91,146,158,110,113,180,182,182,199,199,201,201,199,198,192,175,143,101,81,131,100,74,57,59,51,75,106,87,92,175,154,97,114,186,184,184,200,200,201,202,200,195,196,184,162,126,85,107,108,91,76,75,83,129,154,138,135,145,115,70,78,183,186,184,202,201,202,202,201,194,201,195,171,130,95,95,116,109,86,92,142,167,171,155,155,133,78,54,80,183,187,186,203,203,203,203,202,193,202,201,177,141,118,102,112,118,112,150,189,189,181,152,146,133,88,57,115,190,187,187,203,203,203,204,203,193,200,202,181,154,129,114,115,137,172,194,203,196,180,148,134,120,82,61,157,192,188,186,205,204,205,205,204,195,195,197,181,158,132,120,121,154,197,202,200,189,167,140,122,104,73,77,183,192,190,187,206,207,207,207,206,195,189,191,182,159,133,127,126,166,202,200,194,177,154,133,113,92,62,115,194,193,191,190,208,208,208,207,208,196,187,190,181,159,136,132,131,178,199,198,186,163,144,128,104,78,70,170,196,194,192,192,209,209,208,208,209,200,187,188,184,167,143,131,132,181,193,192,177,153,134,116,94,63,107,195,196,195,194,193,209,209,209,209,210,205,189,187,185,174,150,129,129,174,184,180,163,142,121,101,80,61,159,199,198,196,195,194,210,210,209,209,211,208,189,187,184,170,145,129,127,160,172,164,147,124,104,84,60,95,194,199,200,198,196,196,210,209,210,211,211,208,190,186,180,164,141,129,128,150,162,153,135,113,90,70,58,159,202,200,200,198,197,197
13,175,179,181,183,185,185,187,190,190,189,188,190,190,191,194,191,191,194,192,192,191,192,191,193,192,192,192,192,178,180,183,185,188,189,191,191,191,191,192,191,192,192,184,193,199,193,193,194,194,194,196,195,195,196,194,193,181,183,186,187,188,190,192,191,192,195,201,197,201,193,138,96,177,202,194,194,197,197,198,198,198,199,196,197,181,185,190,190,191,193,194,194,195,191,170,178,215,198,145,50,131,217,198,205,199,201,201,200,200,201,200,200,183,187,189,190,193,196,198,193,217,195,128,99,178,196,143,60,106,130,112,159,207,201,201,200,199,200,201,200,185,188,191,193,195,198,198,190,228,218,157,94,168,201,129,54,79,149,89,38,179,212,203,203,202,202,202,203,187,188,192,195,196,195,202,161,108,152,182,100,159,197,117,46,163,176,107,32,128,222,204,206,206,208,206,206,190,192,195,198,195,207,214,160,109,69,162,98,148,223,116,82,186,146,100,35,133,221,205,208,208,209,209,208,192,196,198,196,208,208,206,184,135,69,127,116,109,184,96,86,194,153,91,26,163,220,206,209,211,210,210,209,194,198,200,200,215,169,182,193,130,67,86,138,56,17,23,98,210,160,70,36,189,215,209,211,210,212,211,210,195,198,198,207,215,177,150,177,134,61,60,128,74,0,34,143,151,85,28,59,213,213,212,213,210,212,213,212,199,200,201,221,209,170,124,182,129,64,53,104,79,0,25,157,173,122,57,114,231,212,216,215,214,213,214,213,198,200,202,229,212,171,112,166,121,63,44,104,89,46,160,159,155,146,113,80,213,216,216,216,215,214,215,215,199,201,205,230,201,161,106,133,126,74,43,156,121,118,208,177,144,111,91,49,165,229,217,218,216,216,216,217,202,202,208,229,203,172,143,113,119,116,23,135,157,194,195,169,139,92,72,52,182,226,217,219,219,217,218,217,201,202,213,229,205,179,157,121,87,69,40,163,209,218,191,156,126,86,62,67,213,220,219,221,221,219,219,218,202,202,213,230,205,177,159,149,106,89,117,214,215,216,178,141,111,78,54,100,230,219,222,221,222,220,219,220,204,204,211,222,206,183,167,161,120,105,110,200,216,200,153,120,94,69,49,166,234,222,226,223,222,221,221,222,204,205,207,211,209,188,171,165,134,103,112,203,213,179,139,108,84,54,97,228,225,227,226,224,223,223,224,223,204,205,205,211,212,191,171,165,140,107,130,184,200,157,130,95,75,46,173,235,222,226,225,225,224,224,224,223,202,205,207,212,213,192,170,159,139,105,138,174,165,135,115,86,63,71,219,223,223,225,224,224,224,224,223,224,202,206,205,214,212,181,164,147,118,104,148,152,131,120,98,80,48,143,235,222,224,224,224,224,224,223,222,223,203,206,198,216,203,170,160,130,110,113,151,134,120,111,88,64,85,217,225,223,223,225,225,225,225,224,224,225,203,202,198,229,194,174,161,129,123,135,154,127,117,93,76,59,184,229,222,225,224,225,225,225,225,225,225,224,204,197,207,234,198,189,165,130,136,152,136,114,102,74,50,131,228,223,224,224,224,226,226,226,226,225,225,225,204,195,210,216,192,194,171,140,148,143,120,98,80,58,67,210,226,223,224,224,224,226,227,227,227,225,224,225,208,189,208,199,175,177,161,135,134,136,108,77,73,40,141,231,224,226,223,225,225,226,227,227,227,227,226,227,138,160,214,189,165,143,135,121,132,143,90,72,66,47,175,216,214,219,222,223,225,226,228,228,226,229,224,214
20,118,121,124,127,129,131,134,135,137,138,139,140,138,141,141,138,139,139,139,138,136,134,134,134,132,130,129,128,119,123,126,129,131,134,137,138,140,141,141,140,145,128,134,145,141,141,141,140,139,137,136,135,134,134,133,131,121,125,129,131,135,138,139,141,142,144,146,140,168,110,92,148,143,142,143,142,141,139,139,138,137,136,135,133,124,127,131,134,137,140,141,143,145,147,147,143,176,117,96,112,122,149,144,144,143,141,141,139,139,139,137,136,125,129,134,137,139,142,144,146,148,148,149,146,174,114,124,127,91,155,145,147,146,145,144,142,141,141,140,139,128,132,136,139,140,143,147,150,150,151,151,149,180,127,127,145,79,149,149,148,148,147,146,146,145,144,143,141,131,135,138,141,143,146,149,152,153,153,154,152,185,138,121,162,82,142,154,151,150,149,148,148,147,147,146,144,134,137,140,143,146,148,151,153,153,154,157,156,182,129,119,169,89,132,161,153,153,151,150,149,148,147,147,146,136,139,141,145,148,151,153,153,159,163,142,158,198,135,124,172,95,121,163,154,155,154,152,152,150,150,148,147,137,141,144,148,150,153,154,153,167,190,147,132,157,130,116,185,109,115,165,154,156,155,155,154,153,152,150,149,139,142,146,149,152,152,159,191,141,132,172,129,92,86,89,168,113,109,166,156,158,157,156,155,156,154,152,151,140,144,147,150,155,153,172,170,160,124,167,162,159,134,88,119,109,102,169,160,160,160,158,156,156,155,154,153,142,146,148,153,156,155,172,158,133,120,132,158,172,171,107,68,85,95,169,160,161,160,159,157,156,156,156,154,143,148,151,154,157,159,167,180,149,104,71,70,98,168,135,74,50,88,170,162,163,162,161,159,159,158,157,156,144,148,153,156,159,162,164,194,159,110,79,68,61,153,168,106,49,76,170,165,165,163,163,162,161,160,157,157,146,151,155,157,161,163,166,187,157,117,86,95,109,163,189,139,77,63,166,169,167,165,165,163,162,161,159,157,148,153,156,159,163,165,168,196,166,119,105,97,137,194,183,143,102,61,162,172,167,166,165,164,163,162,161,159,149,154,158,162,165,168,170,200,170,127,112,113,165,200,165,122,90,61,164,171,169,168,166,166,165,163,163,161,150,155,159,161,166,168,171,199,177,143,128,120,182,191,147,104,67,78,176,170,170,169,169,168,167,165,164,161,152,158,161,164,167,169,171,194,179,143,136,127,189,182,136,96,60,86,181,171,173,171,169,169,169,168,164,162,154,159,162,166,168,171,171,186,179,146,147,130,182,168,123,89,54,92,183,172,174,173,171,170,169,168,166,164,154,159,164,167,170,172,173,180,184,160,159,131,175,154,108,78,47,108,186,173,174,174,173,171,170,170,167,165,154,160,165,168,171,172,176,179,184,165,160,125,161,135,93,74,46,133,186,175,176,175,174,172,172,171,169,167,155,160,165,168,171,173,177,179,191,161,135,108,147,115,96,76,57,168,182,178,178,175,174,174,174,172,169,167,156,161,166,168,172,175,177,180,195,169,133,125,145,106,111,60,105,189,179,180,180,177,176,175,174,173,171,168,157,162,166,170,173,176,175,184,200,183,157,150,130,101,100,49,154,187,179,181,181,179,177,177,175,174,172,170,156,161,164,168,172,176,172,184,186,165,163,149,120,96,77,70,178,182,180,180,179,177,177,176,175,174,173,170,156,160,165,169,173,177,169,190,179,148,146,136,104,85,56,98,188,181,181,180,179,178,177,175,174,174,172,169
4,163,163,164,164,164,164,164,163,163,164,163,165,164,164,165,165,165,164,164,164,164,164,163,163,163,162,160,159,165,165,165,165,164,164,166,166,164,165,165,164,164,168,165,166,167,166,165,165,165,165,162,164,164,162,161,162,167,165,166,166,166,165,166,166,167,167,166,164,163,167,171,167,168,170,173,167,165,165,166,165,165,163,163,163,166,167,167,166,169,167,167,168,168,167,166,182,166,135,141,168,153,127,150,175,171,168,164,165,165,165,165,165,166,166,168,169,170,170,168,166,170,165,155,169,199,161,105,157,174,122,80,149,142,156,172,165,166,166,166,166,169,169,169,170,171,170,170,166,181,190,173,114,164,191,107,150,189,138,83,147,126,78,146,177,166,168,168,166,170,171,171,170,170,171,170,172,179,184,178,123,133,185,94,134,200,132,107,176,141,80,75,175,169,169,169,169,170,171,171,172,171,173,167,184,173,162,184,109,111,177,106,98,179,102,96,176,151,89,68,175,170,171,169,170,170,171,172,173,172,170,171,190,150,117,173,123,91,173,153,126,139,126,151,187,169,96,95,183,169,172,170,171,170,171,172,174,174,170,181,183,150,109,142,126,76,119,146,156,147,165,174,173,149,114,91,176,173,172,172,171,171,171,172,174,173,175,187,174,163,130,103,78,64,91,87,128,135,144,152,150,126,143,70,140,183,171,173,173,172,172,172,174,174,180,183,154,130,118,98,70,66,104,63,81,104,103,126,112,132,151,87,99,187,170,174,173,172,173,173,175,174,184,184,149,112,91,88,77,79,104,84,114,119,103,70,113,180,159,119,69,167,178,174,177,172,172,173,175,173,190,198,165,127,90,69,68,89,90,106,147,151,117,105,140,183,171,152,76,117,189,173,178,172,172,172,175,173,192,198,174,133,89,71,68,96,100,145,150,150,144,174,173,161,182,151,86,81,186,176,177,172,171,172,173,172,195,198,184,139,87,82,73,83,111,143,145,165,179,172,175,163,152,129,94,68,171,178,176,172,171,173,173,173,198,194,190,141,91,101,94,84,120,140,166,176,174,170,162,151,120,103,88,72,170,177,176,171,171,173,175,178,195,192,179,139,123,117,96,129,161,174,186,179,171,159,148,131,106,81,60,136,182,175,176,172,172,174,174,177,196,193,181,157,142,124,96,150,185,181,187,179,163,149,134,116,93,58,106,183,176,178,177,172,172,174,174,171,196,191,188,174,145,139,114,140,187,181,183,171,145,135,123,104,72,75,175,180,179,178,177,171,172,173,176,165,186,191,194,181,157,143,130,139,184,180,173,157,134,122,106,89,60,143,185,178,179,178,177,176,176,177,181,172,176,192,183,167,157,144,133,142,172,169,157,143,123,111,95,61,98,188,180,180,180,181,180,112,115,117,124,114,159,202,177,159,155,151,137,144,158,156,140,124,109,103,82,62,160,185,182,184,183,178,175,67,68,69,74,54,139,200,173,166,166,156,140,145,156,151,137,110,96,91,68,74,103,102,101,99,103,128,163,78,78,77,82,64,141,200,175,171,170,157,140,145,159,158,135,93,83,75,65,73,63,60,73,123,143,156,171,77,77,76,81,62,139,206,177,172,171,169,144,136,157,152,114,80,75,67,74,77,92,153,176,171,194,180,150,78,79,78,82,65,137,205,178,172,178,182,146,123,151,136,94,75,63,60,113,156,176,193,178,134,138,175,171,76,78,77,81,67,138,198,170,166,178,182,144,119,146,127,86,66,58,132,192,195,177,160,146,133,109,132,163
5,150,151,150,151,153,154,154,154,155,155,156,156,154,156,159,156,156,156,154,154,153,152,150,150,150,148,147,146,152,153,153,154,156,157,157,157,158,158,159,159,160,158,144,158,158,158,158,157,156,155,153,152,152,151,151,149,157,157,158,158,160,160,161,160,162,163,163,166,162,171,110,143,166,161,161,160,159,158,157,156,156,155,153,151,159,160,161,162,162,163,163,164,166,166,164,139,154,184,114,123,174,163,164,163,163,162,161,160,159,158,157,155,162,164,165,165,166,167,167,168,169,167,175,125,124,191,114,108,179,166,167,166,165,164,164,163,162,161,159,158,166,166,168,167,169,172,172,171,172,169,185,140,111,190,109,107,182,169,170,169,168,167,166,166,165,164,162,160,169,168,170,171,172,173,169,173,175,172,189,145,101,188,120,113,184,171,173,174,171,170,169,168,168,167,165,164,171,172,173,175,174,178,145,143,183,172,191,152,101,185,115,120,187,175,177,177,180,174,171,171,171,169,168,167,174,175,176,177,176,184,152,112,184,174,193,155,94,179,103,125,188,177,178,170,147,172,176,173,172,171,171,170,176,178,178,179,178,188,169,94,181,179,190,151,81,180,123,127,190,177,182,174,125,135,187,176,175,175,174,173,177,179,179,180,181,186,170,92,179,183,185,164,85,162,135,127,190,173,166,154,173,139,159,180,178,177,176,174,179,180,181,182,184,185,189,102,162,188,180,176,86,130,141,135,186,180,142,78,157,152,118,181,181,179,177,177,182,182,184,185,185,187,194,133,133,192,182,179,89,119,140,135,179,178,135,128,174,125,142,189,182,181,179,177,184,184,185,185,187,186,181,186,148,157,176,165,117,132,128,117,156,156,129,182,169,104,179,185,183,182,180,179,184,187,187,187,188,190,175,192,178,144,146,144,124,127,121,118,158,150,140,189,143,99,192,184,186,184,183,183,186,189,189,189,189,192,186,188,199,163,138,136,114,118,118,120,154,148,155,197,114,103,199,186,187,186,185,184,188,189,190,191,192,192,193,190,213,183,126,122,106,103,115,124,151,141,158,201,112,125,202,187,188,188,186,185,188,189,191,191,191,192,192,193,214,190,130,99,101,99,111,139,157,131,152,199,119,137,202,188,190,190,189,186,190,190,192,192,193,193,193,193,212,187,137,99,101,99,131,148,169,171,146,187,122,142,202,189,191,191,190,187,191,192,192,194,196,196,195,192,209,183,140,102,94,111,143,160,182,186,154,153,102,138,205,191,191,191,189,189,191,192,193,195,196,196,198,190,207,186,147,103,95,120,157,178,180,180,156,114,72,129,207,193,194,192,191,190,192,194,195,196,197,197,199,191,203,187,148,107,97,119,168,189,186,168,133,89,60,161,203,194,196,194,192,191,194,196,196,197,197,199,200,193,194,186,146,110,104,116,179,193,174,149,116,66,117,207,196,197,197,195,193,192,195,196,196,197,198,199,201,189,181,184,145,120,111,115,175,177,158,134,93,79,194,203,197,197,198,196,194,192,194,195,196,197,198,199,203,191,177,176,139,132,111,116,161,164,150,119,62,145,211,199,200,199,198,197,195,192,193,194,195,197,197,198,200,193,174,167,141,133,105,113,150,152,131,75,94,206,201,201,199,199,198,197,196,195,193,194,196,197,197,198,202,191,179,170,142,130,111,99,133,120,86,74,185,205,200,201,198,199,197,197,196,195,194,196,197,197,197,199,203,187,183,163,125,122,110,93,114,89,63,159,211,200,203,200,200,200,198,197,195,194
23,149,149,149,148,149,150,149,149,147,147,146,144,144,143,142,142,141,140,137,136,135,134,131,130,130,123,21,0,152,151,152,151,151,152,151,151,150,149,149,148,146,145,144,144,142,142,139,138,137,136,134,131,134,117,7,0,152,152,152,153,154,154,154,153,153,152,151,151,149,148,147,146,143,143,142,140,139,138,137,134,143,92,0,0,156,155,155,156,157,157,157,157,155,153,152,151,152,151,151,149,148,145,144,143,142,141,139,134,146,71,0,0,159,157,158,158,159,159,158,159,157,156,156,154,145,147,149,147,141,149,148,145,144,142,140,137,142,46,0,0,160,160,160,160,160,159,160,159,158,157,158,144,113,107,120,119,106,88,142,148,144,144,143,141,138,23,0,0,161,161,162,163,163,162,160,161,161,160,153,132,138,116,114,124,120,62,77,161,145,145,145,143,146,42,0,0,163,163,164,164,164,165,164,163,163,162,152,137,121,84,63,93,84,84,37,114,159,146,145,143,150,71,0,0,165,164,164,165,165,165,165,164,164,160,154,133,104,54,88,105,110,82,69,40,128,154,146,144,148,98,59,0,165,165,165,166,166,166,167,165,165,156,151,115,106,56,158,166,165,131,83,48,104,159,148,147,147,118,91,27,167,166,166,166,166,167,168,167,165,149,141,102,99,91,170,162,162,167,153,137,153,153,150,149,149,128,74,114,167,168,167,167,169,170,168,170,160,146,134,93,84,124,150,136,135,120,129,164,156,153,152,150,150,132,103,108,169,169,170,170,170,170,169,169,145,136,125,109,113,123,127,128,130,110,55,149,153,154,153,151,151,141,124,121,171,171,171,171,170,170,171,147,119,119,126,135,144,152,151,142,127,100,53,136,140,121,153,152,150,151,135,91,172,173,172,171,171,173,164,144,130,122,124,126,136,131,120,111,101,100,63,109,152,99,122,160,152,150,150,107,172,173,173,172,172,174,163,143,132,119,112,119,125,128,131,126,109,98,70,42,114,78,98,165,151,151,151,145,174,175,175,174,173,177,156,148,152,127,118,118,124,131,124,121,119,60,37,9,53,29,94,167,153,153,151,150,176,177,178,179,175,180,149,147,148,121,114,121,130,132,126,122,108,48,16,3,10,38,150,158,156,154,151,150,177,178,179,178,177,181,150,131,146,137,138,139,134,133,122,109,72,32,18,12,20,140,166,157,157,156,153,151,176,177,177,177,176,180,149,126,155,148,142,136,109,95,79,48,44,36,19,8,113,172,157,158,158,156,153,150,177,178,177,177,177,181,147,130,149,139,131,120,92,53,18,22,46,29,12,41,163,159,158,157,155,152,152,153,179,179,179,178,178,183,147,131,139,130,130,122,93,42,9,26,22,20,12,87,174,158,159,155,154,158,152,131,179,179,179,179,179,183,145,133,134,129,133,132,84,26,4,6,13,27,17,130,171,160,158,164,162,123,84,94,178,178,178,179,177,183,145,130,132,141,145,121,67,34,14,18,31,28,40,164,163,167,164,120,79,35,87,102,185,186,187,187,185,190,143,124,135,148,140,104,63,41,20,22,38,16,95,183,165,135,77,18,14,15,95,113,127,132,135,138,144,151,123,124,141,149,134,95,57,43,23,22,25,37,159,135,74,28,10,12,10,3,74,125,64,64,62,62,64,62,100,131,139,141,124,87,55,41,21,19,22,43,62,27,4,20,8,10,1,1,32,125,80,80,82,81,76,75,114,131,133,128,105,76,47,34,19,14,24,21,23,9,2,21,4,4,2,3,0,74
24,154,154,154,155,155,156,155,155,155,155,154,154,154,152,150,150,148,147,146,145,143,142,141,139,137,135,134,132,157,157,157,158,158,159,158,157,157,158,157,157,156,155,154,153,151,150,148,151,148,145,144,143,141,140,136,134,160,161,161,162,161,161,161,159,160,161,161,161,159,158,157,156,155,154,151,120,142,151,147,146,144,141,139,136,162,163,163,163,163,163,163,164,163,163,163,163,162,160,159,158,158,156,158,89,105,159,147,148,146,144,142,139,165,166,165,165,166,168,170,164,164,165,164,164,163,163,162,161,160,160,165,91,98,161,150,151,148,147,145,142,169,169,169,169,172,145,148,173,167,168,168,167,166,165,164,163,161,164,165,87,103,165,154,154,152,150,148,147,170,170,171,171,171,123,83,167,172,172,172,171,170,169,168,167,163,171,162,80,117,167,155,157,154,152,149,150,172,172,172,172,171,135,75,126,183,171,174,174,172,170,170,169,164,178,158,80,133,168,157,157,156,154,152,150,175,175,174,174,179,155,94,92,185,172,175,176,173,172,172,171,174,178,135,72,150,167,161,160,158,157,154,152,177,177,177,176,179,168,115,67,172,178,175,176,180,177,174,166,169,182,114,67,167,165,164,164,161,159,157,155,178,178,178,177,179,176,143,70,136,189,177,178,154,155,177,145,90,124,109,93,179,165,167,165,162,161,159,156,180,180,180,180,180,181,156,89,89,190,180,163,136,114,128,123,87,66,76,122,180,168,169,167,164,163,161,159,182,182,183,183,182,186,161,113,66,169,180,157,152,126,116,105,130,97,36,148,180,170,170,169,166,166,163,160,184,184,184,184,184,186,171,146,87,122,163,153,161,123,127,126,133,92,46,168,177,173,171,171,169,166,165,162,185,186,186,185,184,185,180,165,102,80,117,126,178,128,90,93,119,113,52,152,183,176,173,172,170,168,166,164,186,187,187,186,187,189,188,168,135,118,102,101,158,134,58,33,139,134,64,99,191,174,176,173,173,171,168,164,188,188,188,188,189,190,189,173,176,132,84,60,136,112,54,28,118,154,111,51,159,181,176,175,175,173,170,167,190,190,190,191,191,190,191,178,169,109,82,64,130,100,45,66,168,169,139,52,109,191,174,176,175,173,170,169,191,192,192,192,193,192,194,185,167,141,131,82,125,124,66,144,181,160,120,47,116,190,175,177,175,174,171,170,192,193,194,194,194,195,196,189,171,167,141,91,108,98,124,193,166,144,105,35,143,190,177,178,177,174,173,171,192,193,194,194,194,193,196,191,163,177,152,122,84,103,183,188,162,132,96,44,165,188,179,179,177,177,175,172,192,193,192,193,194,195,196,192,167,163,154,138,93,113,184,175,153,126,81,52,178,183,179,179,177,176,174,172,194,194,194,195,195,196,195,197,167,154,152,149,114,102,175,175,143,112,63,64,189,181,180,178,177,174,171,169,195,195,196,197,196,197,196,201,174,156,156,152,139,98,161,172,134,95,39,101,198,181,182,180,178,174,175,178,194,195,196,195,195,196,197,199,188,163,161,151,151,87,128,150,104,69,23,146,193,181,182,179,179,187,166,126,201,202,204,203,204,206,206,206,203,167,166,152,136,96,95,119,87,46,42,185,188,185,187,191,177,139,66,27,128,132,137,143,146,150,154,158,160,172,163,142,128,117,87,112,92,29,105,194,180,180,165,118,66,28,21,21,80,81,82,82,80,80,80,75,90,175,169,155,150,127,103,113,78,35,76,92,88,77,53,24,23,28,20,19
18,48,55,59,66,75,82,89,97,102,103,104,107,112,116,119,121,126,128,129,130,131,132,135,135,137,138,139,143,51,57,60,67,75,84,91,98,102,104,107,106,113,112,117,125,123,124,132,134,132,134,135,137,137,138,141,143,53,58,60,68,76,84,93,96,99,107,100,124,137,87,69,106,142,114,84,126,139,135,137,137,139,141,142,144,52,57,63,71,80,86,89,102,140,95,78,149,130,103,85,132,159,107,65,49,125,140,138,139,142,145,144,146,53,58,62,72,77,87,81,156,164,96,85,162,115,123,129,142,120,95,93,49,58,146,137,140,142,144,147,148,54,60,62,68,94,114,78,165,152,112,105,135,116,113,114,116,85,100,99,87,38,115,146,142,145,146,147,148,55,60,65,67,170,135,86,85,168,121,114,72,105,81,88,75,74,118,106,101,67,55,148,144,145,146,149,150,57,62,54,108,194,147,123,75,138,148,107,53,108,98,53,17,103,130,122,117,97,45,82,155,145,149,151,153,56,63,53,142,162,161,149,98,74,150,110,60,72,136,84,14,58,122,128,139,105,75,38,111,157,148,149,152,56,62,57,143,104,151,141,98,41,98,104,58,34,93,73,14,40,129,155,146,109,80,58,52,152,148,151,152,56,60,66,161,97,109,99,58,32,42,62,42,11,37,17,94,162,148,138,133,107,83,63,48,145,155,153,155,57,57,73,179,133,128,92,41,24,20,42,32,0,0,109,179,157,144,128,105,89,74,55,69,157,152,154,155,59,53,95,176,125,111,90,48,14,9,48,27,0,89,190,175,159,136,115,85,65,62,44,105,160,153,155,156,60,49,110,199,149,126,102,66,30,28,39,26,76,179,180,177,155,124,103,77,58,50,46,142,155,155,157,157,60,50,102,211,165,152,134,103,84,87,75,94,163,182,181,165,138,111,88,69,54,38,75,160,152,156,157,158,60,55,97,211,176,157,131,109,103,107,103,147,180,177,172,146,123,99,80,62,53,36,115,160,154,158,159,160,61,57,91,208,180,157,135,122,121,117,129,161,173,170,148,129,111,89,72,61,50,46,147,155,157,158,159,160,60,60,79,197,182,163,145,137,132,132,144,158,161,156,125,110,96,79,63,58,37,79,159,152,156,159,160,160,59,65,64,174,187,173,162,148,136,133,139,146,139,136,114,96,83,70,60,55,36,131,157,153,154,159,160,161,58,66,62,139,194,183,180,162,138,123,111,121,117,115,105,82,70,62,57,37,73,158,154,155,156,160,161,161,60,66,69,97,189,178,176,165,136,113,101,102,107,110,100,76,64,59,53,28,120,158,153,155,157,159,161,162,59,66,76,75,155,168,149,145,130,108,97,97,99,106,102,81,66,61,39,50,152,152,155,157,160,159,161,163,59,65,76,77,109,170,140,125,111,94,97,102,85,98,99,78,60,59,27,84,159,151,156,158,160,161,162,163,58,64,77,87,89,149,125,112,110,100,119,115,84,89,97,79,59,54,25,104,160,152,156,159,159,162,162,163,57,65,77,87,85,128,130,121,128,114,113,115,87,77,90,78,63,52,18,89,164,152,156,159,159,162,162,163,53,64,76,85,87,112,153,136,133,114,104,111,89,70,81,74,60,55,24,62,160,151,156,158,159,161,162,162,54,64,75,84,91,99,170,155,139,118,101,106,95,71,66,71,62,53,34,34,152,152,155,158,159,159,161,162,55,64,73,84,93,95,168,165,139,117,97,101,100,68,63,71,59,51,40,26,138,155,156,158,159,161,161,161
24,119,126,133,138,143,147,151,155,158,161,165,169,171,172,174,176,176,178,178,178,179,180,180,180,180,180,179,179,122,128,135,140,145,149,152,157,161,164,167,170,173,176,177,178,178,179,180,180,182,182,183,185,183,183,182,182,124,131,137,145,147,152,155,158,163,167,170,173,175,178,179,179,181,183,184,183,185,185,186,187,185,185,185,185,125,134,141,131,150,154,157,161,164,169,172,175,177,180,182,183,184,186,187,186,187,187,188,188,187,187,188,188,126,138,148,79,122,161,157,163,167,171,174,177,179,182,185,186,186,187,187,189,189,187,189,189,189,189,189,189,128,138,138,74,71,166,160,167,169,172,177,178,179,183,187,187,187,188,189,192,192,189,191,192,192,192,193,192,130,139,147,95,46,148,166,165,172,175,177,182,186,189,188,193,193,189,193,193,194,193,193,194,194,194,194,193,131,139,152,115,42,116,174,168,172,176,183,180,165,180,195,166,178,197,191,194,196,194,193,194,195,195,194,196,134,142,152,135,70,70,173,167,127,112,168,177,128,86,140,150,99,166,202,194,196,195,196,196,196,186,163,119,135,144,149,159,104,44,132,161,134,118,123,189,152,83,114,167,95,84,206,196,196,197,197,198,188,164,111,86,137,143,149,160,126,77,83,146,182,158,115,174,168,105,137,167,94,60,188,203,200,200,198,191,172,121,88,189,137,145,151,156,154,117,82,71,180,173,112,149,176,105,131,169,96,42,163,210,199,201,193,187,151,74,150,213,139,146,153,157,166,126,95,95,130,186,131,122,182,113,113,177,118,36,148,213,202,189,190,181,110,70,201,204,141,148,155,160,166,146,159,141,107,155,137,77,158,108,85,174,137,40,103,216,174,169,186,145,65,154,212,203,141,150,155,161,162,176,174,108,73,99,126,49,119,106,71,214,175,34,35,115,139,166,152,78,115,217,203,207,141,148,155,161,164,173,160,117,90,87,112,80,104,119,69,112,91,39,91,128,142,137,96,75,200,209,207,208,142,149,154,159,164,167,189,166,113,95,91,107,76,148,101,77,148,160,168,150,112,97,55,146,217,203,208,207,142,150,155,159,164,168,189,178,146,122,96,82,89,137,163,200,197,180,162,137,95,67,80,204,205,205,207,207,142,149,156,160,166,169,187,189,175,139,99,74,120,172,202,192,183,165,147,118,82,60,172,212,205,209,209,209,142,149,155,160,167,169,187,197,187,138,99,95,142,184,198,190,175,149,123,102,58,129,216,205,209,210,210,210,141,149,156,161,166,169,179,192,195,149,127,133,136,183,193,188,165,140,111,79,71,202,208,206,208,210,210,210,137,145,153,159,165,171,175,184,189,159,135,144,118,162,180,173,153,135,99,59,152,222,209,212,210,212,213,212,84,88,89,92,96,103,103,146,184,157,138,134,97,126,157,139,128,109,76,85,180,182,187,190,193,197,203,205,73,73,75,77,76,78,72,91,186,164,128,115,84,117,150,127,102,83,66,79,84,85,90,92,93,98,99,98,78,79,84,85,85,85,88,82,171,153,114,102,96,121,146,117,86,64,65,89,88,89,89,91,85,82,91,108,77,77,80,81,80,82,84,80,176,148,127,121,120,122,131,104,70,54,73,91,91,90,92,96,117,163,174,158,79,80,83,82,82,84,82,87,192,168,152,145,128,112,122,89,63,52,81,92,91,93,85,117,196,185,204,172,80,81,83,83,83,84,82,93,184,167,162,151,112,101,112,78,63,49,81,92,91,91,90,180,220,177,161,203
8,181,181,182,185,186,186,186,185,184,183,183,182,182,181,181,179,178,178,177,175,174,174,173,172,170,168,166,166,184,184,185,186,187,186,187,187,186,185,185,183,184,182,181,180,180,179,179,177,176,176,175,173,171,169,168,167,186,186,186,188,188,187,187,187,188,187,186,180,172,183,183,182,182,182,181,179,177,177,175,174,173,171,170,169,186,187,188,189,190,190,189,188,188,187,189,173,128,177,185,184,184,183,181,179,179,179,177,176,175,173,171,170,188,188,190,191,191,190,190,190,190,188,195,158,106,173,186,186,186,183,182,182,181,180,179,179,177,175,172,171,189,190,191,192,193,192,192,192,192,190,198,141,102,182,188,187,186,185,184,183,182,182,181,180,178,176,174,173,191,192,192,194,195,195,194,195,194,196,199,138,112,189,188,189,188,187,186,184,183,183,181,180,179,177,176,175,192,194,193,194,195,196,196,195,194,202,193,131,125,191,190,190,189,187,186,185,184,183,182,182,180,178,177,175,193,194,195,195,196,196,197,195,195,205,182,121,137,193,192,172,170,188,187,186,185,184,182,183,181,179,178,176,194,195,196,197,197,197,197,198,196,211,180,145,151,193,200,173,136,162,182,187,186,185,185,184,182,180,179,177,196,197,196,197,198,198,199,199,198,215,182,168,162,192,194,192,165,132,133,143,181,186,185,185,183,181,180,178,197,197,198,199,200,200,200,200,199,210,189,176,178,203,176,200,186,175,157,107,111,137,140,178,184,182,181,180,198,199,199,199,200,201,201,200,206,204,176,182,193,194,167,156,181,176,158,113,68,71,77,112,185,183,182,181,198,200,201,201,202,202,202,202,206,189,170,175,186,180,149,110,126,187,164,123,69,59,66,75,180,185,184,182,199,201,202,202,203,203,203,210,203,170,152,156,175,167,124,92,76,198,175,130,73,67,75,79,182,186,184,183,200,202,202,203,204,204,204,224,209,180,146,122,166,150,111,87,95,198,181,134,76,58,64,131,188,187,185,184,201,203,203,204,206,204,213,229,207,179,149,126,158,179,165,180,183,175,166,132,84,51,96,182,188,187,186,185,202,205,206,205,206,205,223,223,196,182,154,142,127,195,204,187,190,159,143,129,91,79,175,192,191,190,188,187,203,206,206,207,207,209,229,216,197,183,144,134,172,208,198,171,176,161,121,118,81,135,193,194,192,191,189,186,204,206,207,207,207,213,231,215,197,180,144,169,209,206,188,166,160,154,101,98,68,173,196,195,194,192,190,188,206,206,208,207,208,217,229,216,198,179,158,194,208,196,179,155,146,134,94,78,88,194,197,195,194,192,191,190,207,208,209,209,187,210,224,214,191,173,162,189,190,179,166,142,139,113,78,59,141,198,198,196,195,194,192,189,206,207,209,187,92,125,191,194,174,161,163,169,182,166,150,133,117,87,63,68,187,198,199,196,195,194,192,191,208,208,204,114,77,72,98,160,171,165,164,163,178,159,136,112,85,66,54,136,198,200,200,197,196,195,193,192,208,209,155,78,70,68,68,77,126,152,149,155,164,135,106,87,70,59,96,195,201,201,200,197,196,195,193,193,210,186,93,71,67,64,64,55,41,66,84,118,135,102,75,66,58,83,185,203,203,201,200,199,197,195,194,194,201,117,72,68,64,60,61,63,25,41,43,44,55,60,53,48,102,185,203,203,201,202,200,198,196,195,194,193,142,71,68,66,61,56,59,61,22,29,38,33,29,27,28,81,195,202,204,202,200,201,199,197,196,194,192,191
6,199,200,200,199,200,200,199,199,199,199,198,198,196,195,194,191,191,190,189,187,186,185,183,181,181,179,176,174,201,202,201,201,202,202,201,201,202,201,201,200,199,197,196,195,194,192,191,190,189,187,186,184,183,181,179,177,202,203,203,203,203,204,203,203,203,204,202,201,201,200,198,197,196,195,194,192,190,189,189,187,185,182,180,178,204,204,205,205,205,205,206,207,206,206,205,204,202,201,201,200,198,198,196,194,192,192,190,188,186,184,182,181,206,206,207,207,207,206,207,208,207,207,206,205,205,204,202,201,199,198,193,190,187,183,177,175,177,175,181,184,207,207,208,208,208,208,209,209,210,208,207,202,201,197,189,181,172,159,145,148,153,153,144,147,186,177,162,185,208,208,209,208,208,209,210,208,197,176,166,157,159,157,154,147,145,140,127,141,139,132,136,136,164,154,151,186,209,210,211,209,209,210,204,187,166,147,142,147,150,155,153,148,136,127,116,116,110,113,114,111,125,150,180,188,212,211,212,211,209,195,180,175,163,139,120,124,127,129,124,116,100,95,107,130,149,166,176,185,191,192,192,190,212,213,213,209,185,171,172,168,156,134,100,84,71,95,145,161,173,178,193,202,201,200,200,199,197,196,194,193,213,214,209,181,168,170,172,170,166,155,122,78,57,86,146,181,200,207,207,206,204,202,201,200,198,197,195,194,215,209,185,172,174,178,178,177,177,159,108,67,61,62,64,70,94,187,208,207,207,204,203,202,200,199,197,195,197,178,177,181,181,181,179,171,171,132,77,59,59,62,65,63,59,119,209,209,208,207,204,203,201,200,198,196,173,175,183,183,181,179,167,162,164,131,96,64,44,55,61,65,63,66,190,210,209,207,205,203,202,200,198,196,175,179,184,185,182,170,161,165,167,166,144,92,54,51,49,49,66,123,201,209,208,208,206,204,202,201,200,198,178,180,186,184,176,163,162,164,161,163,137,82,57,56,57,52,152,209,210,210,209,208,207,206,204,202,200,199,178,183,184,175,165,160,157,154,151,145,114,66,51,54,57,54,153,214,213,211,209,207,208,206,205,203,201,200,178,176,166,164,164,159,156,147,137,136,123,82,44,47,49,105,200,211,210,210,209,207,207,204,203,201,199,198,167,158,156,159,154,146,138,132,135,148,147,100,59,58,53,158,214,214,210,209,208,208,207,204,202,199,198,193,157,156,154,147,135,130,129,134,141,149,136,87,60,57,54,168,214,214,211,210,209,208,207,204,191,170,138,106,155,151,142,134,130,129,128,123,119,114,87,64,67,78,145,210,215,214,212,208,204,202,199,156,95,68,61,56,139,128,118,123,125,123,108,91,79,74,71,127,182,202,214,216,206,178,162,119,105,103,94,67,59,58,43,47,104,83,80,98,106,100,84,71,73,113,160,205,208,209,210,201,129,87,73,45,49,49,44,46,42,48,41,31,64,53,67,86,89,87,82,86,99,114,119,120,119,122,119,99,74,63,56,45,31,44,34,38,34,37,36,24,55,68,108,110,110,111,109,108,110,110,109,105,92,80,68,58,52,49,40,50,22,37,31,30,32,33,26,24,52,96,122,118,118,123,119,114,119,117,116,100,67,49,53,49,42,42,40,42,24,28,29,26,29,32,22,28,55,105,114,113,115,116,113,111,112,107,89,61,52,35,43,45,36,37,35,33,29,19,25,25,28,30,18,27,62,110,112,113,117,115,112,112,105,83,70,40,42,36,34,42,32,33,28,28,31,17,22,24,27,28,20,27
7,178,178,180,181,181,182,181,181,181,181,180,179,179,177,177,175,175,174,172,172,172,171,169,174,142,46,35,47,179,180,181,182,183,183,183,183,182,182,181,180,180,180,182,178,177,176,174,171,174,169,168,174,163,128,105,95,181,182,184,186,186,186,186,185,185,185,183,181,183,174,157,169,172,168,155,156,152,155,178,165,139,93,168,165,183,185,186,188,186,187,187,186,185,184,184,186,188,177,153,159,179,174,153,149,143,146,182,147,128,121,188,130,185,186,187,188,188,187,188,187,191,196,203,203,196,172,161,166,150,140,142,129,130,117,115,138,155,132,126,105,186,187,189,190,190,190,182,187,201,208,207,198,189,181,179,174,150,115,142,152,138,133,122,123,106,130,124,157,188,189,192,190,204,207,191,186,193,196,192,189,188,186,185,169,148,135,143,150,140,139,133,114,93,123,122,131,188,190,192,194,222,213,200,186,187,194,193,191,190,186,183,169,147,132,120,111,104,105,98,93,88,91,108,167,191,193,191,209,226,214,191,168,173,188,193,189,180,165,150,132,116,122,116,118,126,135,139,138,149,158,165,159,193,195,192,223,220,209,177,160,176,170,160,153,139,131,123,110,105,131,198,191,189,191,190,188,185,181,183,145,195,191,206,228,217,203,187,181,172,157,158,163,160,154,148,146,154,96,107,182,189,185,185,183,180,178,178,177,195,193,224,225,220,216,216,201,167,165,170,168,162,147,143,139,132,103,36,103,198,186,187,185,183,181,179,179,191,205,230,225,223,222,224,202,151,152,160,155,149,138,132,124,112,91,48,74,196,187,188,187,185,183,181,179,195,225,229,227,224,221,214,186,156,147,125,105,103,120,132,139,148,124,59,138,196,187,190,188,187,186,183,180,216,231,228,226,224,214,204,186,168,150,130,119,136,169,168,149,154,134,130,203,188,189,189,189,187,186,184,181,226,229,230,226,217,208,197,176,159,167,153,146,163,161,147,138,135,104,131,204,191,192,190,189,188,187,185,183,229,229,227,224,213,197,171,162,180,185,159,150,153,143,138,129,119,73,151,203,194,194,191,190,190,188,186,184,229,228,225,220,205,184,182,193,201,188,167,142,124,109,97,81,76,114,195,197,196,196,194,191,189,188,186,184,228,223,215,208,199,196,199,196,189,174,145,120,87,127,102,116,166,199,200,199,197,196,194,193,190,188,186,185,221,215,206,204,201,205,196,178,174,162,142,103,134,206,205,208,208,200,201,198,195,195,195,195,191,189,188,186,210,204,206,203,197,195,187,173,172,149,101,130,211,205,203,202,202,203,202,199,198,196,196,195,193,191,190,187,202,194,197,196,187,180,174,166,145,100,115,208,206,205,204,202,203,202,201,199,199,199,197,195,194,192,188,183,200,195,189,180,169,164,157,141,98,106,201,208,203,204,203,203,202,202,200,199,197,197,196,194,190,192,193,178,197,188,176,161,146,143,126,89,111,199,211,207,206,206,204,203,202,202,200,199,199,198,195,192,200,168,97,143,177,162,148,129,119,102,79,122,204,212,207,208,208,207,205,203,203,202,201,199,198,196,198,200,178,86,35,41,153,140,130,122,100,98,156,214,210,207,208,208,207,207,205,204,204,203,200,200,205,206,186,129,66,43,38,34,148,144,126,100,98,204,217,208,208,208,208,208,207,207,206,204,204,205,207,197,169,122,69,42,40,44,39,37,168,156,127,87,113,220,206,209,208,207,208,209,207,207,205,203,198,188,148,93,51,29,35,38,34,35,36,36
22,56,59,64,80,93,102,106,109,116,122,126,129,132,134,137,138,140,141,141,140,139,138,138,136,135,135,133,132,57,59,66,81,94,103,106,110,118,122,127,134,134,136,139,140,143,135,137,143,141,141,139,141,139,137,134,135,58,60,67,84,96,105,108,113,119,132,136,105,138,138,141,141,157,116,90,149,142,141,144,127,136,141,136,135,58,61,69,85,97,107,111,116,117,149,153,73,132,142,143,143,166,114,74,150,144,147,151,86,100,149,139,137,59,61,69,87,98,108,112,118,119,147,163,78,122,147,142,147,162,105,84,156,143,156,148,77,105,150,140,140,59,61,70,89,101,109,113,119,122,141,168,88,109,151,144,150,156,99,98,157,147,159,131,71,132,148,142,141,58,60,72,89,101,110,115,120,125,137,176,114,96,152,147,148,139,85,107,157,159,167,109,81,153,144,144,142,59,62,73,89,101,112,116,121,127,134,173,124,86,146,150,151,140,76,114,159,165,153,91,112,155,146,147,144,59,62,73,90,103,114,116,121,130,134,168,132,76,132,154,150,144,77,127,169,165,120,73,140,152,149,148,146,58,62,74,92,104,114,118,123,131,134,162,159,96,114,160,139,126,63,150,182,160,101,82,158,150,150,149,147,60,62,74,92,105,116,120,124,132,136,151,165,101,88,148,116,114,87,167,169,147,76,117,162,152,151,150,149,59,63,75,93,107,117,120,126,134,141,145,162,94,55,108,121,141,164,170,151,109,68,151,157,154,153,151,149,59,63,77,94,108,117,120,127,135,141,141,159,113,80,127,133,141,158,154,139,72,106,168,154,155,154,153,151,59,63,78,95,109,118,121,128,134,153,142,107,113,92,117,128,148,142,151,115,62,146,165,158,156,156,155,153,59,63,78,95,110,119,122,130,135,167,136,129,113,121,90,73,118,132,122,78,64,156,163,160,159,157,156,154,57,62,78,96,111,120,122,131,136,174,152,139,140,130,92,59,52,93,91,63,71,167,161,161,160,159,157,156,57,62,80,97,112,120,124,129,143,180,159,117,98,112,116,103,70,45,49,51,71,169,162,162,162,161,158,156,59,64,81,98,113,121,124,133,143,183,166,104,51,59,115,119,101,73,58,42,49,162,167,162,162,161,160,158,57,62,81,98,112,120,124,133,139,182,176,127,112,48,155,140,113,92,74,33,34,156,169,163,161,161,161,160,56,60,80,98,112,121,124,132,136,178,184,137,117,88,175,158,123,97,77,29,46,167,166,163,161,161,162,161,55,59,79,98,113,121,124,134,135,174,186,139,117,147,167,140,124,86,68,25,70,178,163,164,162,162,162,160,53,58,78,98,114,121,124,133,137,164,181,159,126,167,166,123,128,103,63,21,89,178,163,165,163,161,161,160,47,52,75,96,112,121,125,134,141,156,175,162,127,159,159,127,119,106,59,17,125,180,168,169,166,164,164,162,74,77,86,96,106,113,117,123,131,128,165,163,128,125,142,113,98,79,38,30,141,154,149,148,148,147,147,146,82,83,79,73,77,79,79,79,85,49,78,163,109,85,99,87,67,49,32,47,75,71,70,70,70,69,71,69,80,81,82,82,83,81,82,83,83,43,11,74,89,84,92,100,80,53,24,48,80,73,73,73,72,72,54,29,82,83,82,83,83,83,83,87,63,24,29,13,52,92,95,100,71,31,0,27,84,74,74,75,57,32,12,4,82,83,82,82,82,82,85,83,37,30,28,25,15,33,58,47,13,0,0,45,83,72,76,57,20,15,6,0
17,146,150,151,157,158,159,160,162,165,166,168,168,170,174,172,174,175,175,175,176,176,177,176,174,175,175,175,174,149,152,155,159,160,163,164,166,166,167,168,170,172,172,175,175,176,176,176,178,178,178,177,176,176,175,174,173,153,158,159,162,165,166,168,169,169,169,172,170,193,150,149,183,177,178,178,179,179,180,179,178,178,178,176,176,158,161,164,168,169,170,171,173,174,175,173,185,186,113,116,188,179,183,182,182,182,182,182,180,179,179,178,177,164,167,170,172,175,175,175,177,178,180,178,189,203,108,113,195,182,185,185,184,185,185,185,185,183,183,183,181,168,172,175,177,180,180,181,183,183,184,181,196,222,144,100,188,186,188,188,188,189,188,189,188,187,184,185,186,173,177,180,182,185,185,186,187,188,190,186,206,226,165,83,160,199,191,193,192,193,193,193,194,192,188,187,187,178,183,185,186,190,190,191,192,194,196,190,216,217,182,107,129,206,193,196,196,197,197,197,197,195,193,191,191,183,186,189,193,194,194,196,197,199,200,192,229,193,203,134,104,203,201,201,202,202,201,201,200,198,197,196,196,187,191,195,197,199,199,201,202,202,203,203,233,171,217,149,95,194,209,205,207,206,205,205,204,202,201,200,199,191,194,198,203,204,204,206,206,206,204,199,238,184,233,187,103,179,216,209,210,210,210,209,208,206,205,203,203,195,198,201,205,206,206,209,210,212,217,182,151,154,222,202,116,160,222,211,214,214,213,212,210,209,209,208,207,199,202,206,208,209,209,211,210,227,240,201,139,90,171,199,122,142,226,213,218,218,218,216,214,212,212,211,210,202,204,208,210,212,213,215,215,222,190,187,186,155,133,145,117,125,229,217,219,221,220,219,219,216,215,213,212,203,208,210,213,216,216,217,220,226,161,169,204,218,181,98,88,112,226,221,223,223,224,224,222,220,218,216,217,207,211,214,218,218,218,217,224,251,232,159,172,201,161,87,73,90,213,228,226,226,226,225,224,224,221,219,219,209,213,217,220,220,220,227,213,164,249,184,104,179,169,100,75,69,186,237,227,228,229,228,227,226,226,224,221,210,215,220,221,222,223,237,197,118,160,194,68,127,208,119,75,58,172,243,229,231,231,230,230,229,228,227,225,214,219,221,224,224,228,241,212,152,104,175,112,116,233,145,89,55,166,248,230,234,233,233,231,229,229,228,227,217,220,224,227,227,232,229,161,116,81,149,144,151,243,170,115,57,170,250,233,235,236,235,233,231,231,230,230,219,221,226,229,228,236,220,179,132,124,121,166,213,223,175,131,66,184,248,234,237,237,235,235,236,236,233,231,221,224,228,231,230,242,237,171,154,145,151,255,233,188,152,123,72,211,246,237,240,238,237,236,236,236,235,234,223,226,229,233,234,255,219,188,177,128,190,254,194,172,143,101,83,232,243,241,241,241,241,239,237,237,236,235,226,228,231,233,237,255,235,214,148,144,206,231,176,170,142,85,93,244,244,244,244,243,242,242,240,240,237,236,226,230,233,234,238,255,253,182,176,142,240,230,175,165,127,77,110,253,245,246,246,244,244,243,243,243,239,238,227,230,233,237,237,238,237,192,182,159,255,223,171,146,112,69,130,255,245,247,247,246,246,245,243,243,241,239,227,231,234,237,236,228,224,208,169,167,253,204,150,118,96,62,167,255,246,251,248,247,246,246,245,244,244,243,228,234,235,237,241,226,202,206,171,170,232,184,134,101,82,75,223,255,248,250,250,249,250,248,246,246,245,244
2,132,133,134,134,134,135,135,135,134,134,134,134,133,134,133,132,131,130,129,127,127,127,125,124,122,121,120,119,133,134,135,136,136,136,137,137,138,137,136,135,135,137,136,135,135,136,135,131,127,128,125,124,123,121,120,119,134,135,137,138,138,139,139,138,138,138,138,138,135,123,124,126,121,116,110,116,132,128,125,125,125,123,121,121,137,138,138,139,140,140,140,140,140,139,140,136,119,108,109,111,108,89,71,61,100,132,132,127,126,125,124,122,138,139,139,140,141,140,141,141,141,141,140,126,115,113,105,100,110,82,62,80,87,89,110,130,128,126,125,124,140,140,141,141,142,143,143,142,143,144,141,133,124,109,91,78,68,39,34,57,68,47,39,117,133,127,126,124,140,141,143,143,143,144,145,145,145,138,129,126,113,77,50,39,49,64,107,103,73,49,75,129,130,129,127,125,141,142,144,145,145,146,146,147,147,135,123,109,78,37,21,30,131,147,143,144,139,133,138,133,130,130,128,126,142,142,145,145,146,148,147,148,146,135,114,71,37,28,21,65,151,139,140,139,137,137,135,134,131,131,130,128,143,145,146,146,147,148,148,149,145,136,107,44,22,21,24,119,148,141,141,140,139,137,136,137,135,132,130,128,145,146,147,147,148,148,150,148,145,135,101,44,23,17,53,152,143,145,143,141,140,139,139,128,123,133,131,129,145,146,148,149,150,150,152,146,142,131,86,32,33,27,61,152,144,146,144,141,140,142,105,73,63,104,137,129,147,147,147,149,152,151,152,146,143,125,76,42,42,27,71,155,145,147,145,142,145,109,74,74,57,90,140,130,147,148,149,150,151,153,152,144,143,125,82,55,40,21,93,159,144,147,145,148,118,75,81,71,56,123,136,132,148,149,151,152,152,153,150,143,143,123,82,57,38,25,60,156,152,145,152,127,65,65,73,52,88,143,133,133,148,151,152,152,153,154,150,144,139,117,87,60,35,35,32,67,125,158,131,81,58,58,57,49,136,138,135,134,149,150,152,152,152,155,150,143,139,117,84,54,36,35,40,38,51,97,66,61,72,55,37,109,145,137,137,134,149,151,153,153,153,155,147,143,149,117,80,59,36,35,40,46,52,46,47,59,56,48,117,148,139,140,138,135,149,151,153,154,154,157,143,149,148,111,77,58,38,36,42,44,52,57,48,54,46,123,151,141,141,140,138,135,150,151,152,155,156,156,142,153,140,103,74,60,39,36,43,46,52,56,50,30,112,154,141,142,141,140,138,135,151,152,153,155,158,153,144,151,132,97,76,63,39,36,47,51,53,54,37,90,153,145,144,142,141,140,139,137,152,153,154,156,158,151,144,146,121,96,80,60,39,36,50,52,55,38,57,157,147,146,145,144,143,140,140,139,153,154,155,157,159,150,141,134,112,91,74,56,37,37,50,48,46,27,126,155,147,148,147,145,143,142,140,138,153,153,155,156,157,149,138,128,110,87,72,54,36,37,48,47,23,97,161,150,149,149,147,145,145,142,139,139,152,154,155,157,156,148,131,121,102,81,66,51,38,39,38,23,87,162,151,152,151,150,147,146,145,143,140,139,153,154,155,156,155,147,127,119,99,79,61,48,36,26,35,107,162,154,153,151,151,150,148,146,143,142,141,140,153,154,156,155,154,143,125,114,100,78,56,41,21,70,151,164,155,155,154,152,151,149,149,147,144,143,142,140,153,154,156,154,146,124,113,111,96,70,45,30,37,153,164,155,157,155,155,154,152,151,150,147,145,144,142,139
0,172,174,175,174,175,177,177,177,177,177,176,175,175,176,176,177,177,175,176,177,176,177,177,176,175,176,176,175,174,176,176,175,176,178,178,178,178,176,177,177,178,178,176,176,178,181,177,179,179,178,178,177,177,178,178,178,176,177,178,178,178,177,179,178,178,179,178,177,179,178,188,175,140,151,184,173,175,183,182,181,179,177,178,179,177,177,178,179,181,179,178,180,179,178,182,182,153,144,191,171,139,115,117,134,124,160,177,137,167,182,178,178,178,178,178,179,181,180,180,180,181,182,204,191,155,121,157,177,150,138,73,118,125,105,154,112,147,189,178,180,177,179,180,179,180,181,180,186,168,154,205,189,163,136,151,196,155,145,88,137,138,108,127,118,139,191,180,182,178,179,180,181,181,181,184,210,168,124,163,204,170,143,139,208,169,150,93,151,142,102,100,120,116,195,180,182,180,180,181,181,183,178,197,205,175,149,141,208,178,143,126,207,173,147,89,153,139,90,87,132,80,177,186,182,181,182,182,182,180,195,192,191,186,162,123,190,185,139,110,200,175,135,74,122,126,82,77,139,73,124,195,182,181,182,183,182,183,198,165,183,196,167,116,164,191,137,91,168,165,121,68,96,113,75,80,143,83,101,194,184,183,183,184,180,193,193,154,163,192,165,115,135,183,131,81,133,151,113,75,83,103,64,93,152,97,104,195,185,183,184,184,182,193,187,160,151,172,148,106,108,162,123,77,100,145,109,71,83,105,72,136,165,107,106,196,187,180,182,181,186,194,176,150,123,156,144,102,89,152,122,69,78,143,109,63,100,112,89,167,161,109,114,196,186,179,181,182,181,205,192,159,114,127,146,93,79,146,126,68,73,149,107,115,167,140,106,157,166,109,122,196,185,181,183,182,183,204,193,163,127,91,124,116,76,147,142,78,80,146,149,166,165,149,121,116,154,101,127,197,186,183,184,183,186,207,197,174,146,110,99,123,94,142,152,129,161,174,172,162,152,133,120,102,105,85,121,199,185,183,184,184,186,207,203,181,156,141,131,124,142,158,168,183,185,183,175,161,146,125,108,102,86,71,116,200,185,183,183,183,186,204,203,187,170,158,148,138,139,160,174,183,183,184,177,157,141,124,103,91,87,65,138,199,187,182,182,183,185,199,199,193,182,173,156,146,142,152,170,181,182,178,171,152,136,120,100,88,73,102,186,193,191,186,188,188,182,195,200,201,192,177,159,147,145,154,175,183,183,172,165,149,133,115,97,76,89,180,191,189,190,150,154,160,153,181,200,204,196,177,163,149,144,153,178,185,178,167,159,145,125,106,89,75,167,200,193,196,195,87,89,94,80,132,204,196,190,178,166,155,142,152,175,175,163,152,145,133,115,97,81,95,152,152,155,152,152,94,94,95,85,103,200,185,179,178,171,160,141,149,172,168,153,136,123,113,104,88,86,91,88,84,81,102,135,93,94,95,91,96,193,176,173,180,173,158,141,144,170,165,145,116,99,94,86,87,95,90,89,116,159,196,195,92,93,92,94,95,187,175,174,181,169,157,147,142,164,159,133,97,85,81,87,94,98,124,166,201,202,190,175,92,93,92,95,90,187,188,177,179,164,152,150,138,147,148,119,85,80,80,86,107,175,210,218,205,199,192,173,93,92,92,94,86,185,195,184,178,162,153,155,135,138,141,110,81,76,79,131,199,216,214,209,198,204,209,195,94,93,93,94,88,176,193,190,177,162,154,156,132,131,138,107,79,63,134,207,206,207,211,198,193,201,210,212
2,171,172,174,175,177,179,179,179,179,179,179,180,179,179,177,173,174,175,174,175,174,173,172,171,171,170,168,167,173,174,176,177,179,180,180,181,181,180,179,181,180,176,179,193,203,195,177,170,171,174,175,173,173,172,171,169,174,174,176,180,180,180,181,181,181,181,182,179,181,197,218,221,208,199,199,156,136,133,156,174,172,173,172,170,175,176,178,179,181,182,182,181,183,183,180,190,228,217,217,216,193,165,155,129,105,106,100,159,177,173,172,172,176,178,180,180,181,183,184,184,183,185,176,220,226,211,218,183,143,118,114,106,104,106,91,142,181,172,173,174,177,178,180,182,183,183,184,185,185,183,185,236,224,214,171,131,100,93,98,97,106,107,126,169,178,175,175,174,178,179,181,182,185,186,185,187,187,180,201,243,222,163,117,101,90,101,104,137,169,168,179,180,179,177,175,176,179,180,182,185,185,186,187,188,190,181,211,240,199,130,93,99,98,104,152,185,184,183,180,179,178,178,177,177,181,182,184,185,185,187,187,188,190,183,232,228,164,105,85,93,94,109,187,182,181,181,181,180,179,179,178,177,181,184,185,185,187,188,188,191,184,205,242,185,121,85,84,80,93,114,185,183,183,183,182,181,180,180,178,178,181,183,185,186,188,189,189,190,190,239,218,153,107,94,98,90,83,129,191,183,185,184,182,182,181,180,179,179,182,184,186,188,190,190,192,186,225,247,197,146,117,109,106,103,90,146,194,184,185,184,183,182,182,181,180,180,183,186,187,189,191,192,192,193,253,236,183,137,113,116,108,108,98,152,194,185,186,186,184,183,184,183,180,179,185,187,188,190,192,193,189,210,255,220,164,126,116,115,106,110,103,155,196,186,188,186,186,184,184,186,184,181,186,188,189,192,193,196,187,230,255,207,152,120,112,109,106,111,104,161,196,188,188,188,188,188,187,177,167,175,187,188,190,193,194,195,193,253,244,195,148,118,108,109,109,112,98,159,198,188,189,188,189,186,170,170,136,140,188,190,192,194,197,189,217,255,228,186,142,114,105,106,105,105,94,134,201,190,191,191,188,167,175,157,123,174,190,191,193,195,198,192,246,254,217,178,138,111,103,101,101,107,100,104,193,194,192,194,162,164,172,121,154,191,191,193,195,198,193,210,255,241,208,171,133,109,101,97,103,111,111,95,151,205,192,158,152,170,139,120,186,185,192,194,195,199,193,231,255,231,198,165,130,107,99,100,105,108,112,107,103,141,150,148,161,153,120,139,193,185,193,194,196,199,196,247,249,222,196,163,128,108,98,106,107,103,107,109,105,107,141,168,159,133,129,176,190,187,194,195,198,197,207,252,238,218,196,158,130,113,103,114,112,111,115,116,113,128,158,166,147,134,180,193,189,188,194,196,199,195,228,250,234,224,199,163,140,118,107,122,125,129,127,127,121,131,160,143,137,183,197,193,190,188,194,197,199,199,249,251,237,224,202,171,146,122,113,129,136,140,129,125,124,130,133,142,189,196,193,194,191,189,196,199,197,210,254,247,235,220,189,158,143,127,118,131,139,140,131,125,119,122,141,192,200,196,195,193,193,190,196,201,191,227,249,240,230,203,167,141,132,127,126,135,136,133,130,117,142,182,197,199,196,195,194,194,192,189,198,196,213,249,237,225,205,172,142,136,132,125,127,130,129,127,118,150,200,203,198,198,197,195,195,195,192,189,196,203,253,238,220,208,187,146,138,139,133,129,127,123,122,128,167,204,203,199,200,199,197,196,196,195,193,191
22,132,139,143,146,153,158,162,166,169,172,173,175,178,179,179,179,179,180,179,177,177,177,175,174,173,171,170,170,133,140,144,147,154,159,164,167,171,174,174,177,180,181,181,182,180,180,181,180,179,179,177,176,174,173,172,171,135,142,146,150,156,161,166,170,173,185,165,146,181,182,183,183,183,169,161,182,181,180,179,178,177,175,174,172,136,144,148,151,157,163,168,171,173,202,167,115,181,184,185,184,191,155,110,181,183,182,182,166,161,177,176,174,138,145,148,153,159,164,169,173,175,208,175,112,182,185,187,187,186,145,106,185,185,184,182,141,111,178,178,176,139,146,150,154,160,165,171,174,176,207,182,118,180,188,188,188,178,134,127,186,185,189,178,131,119,181,179,178,140,147,150,155,162,168,173,176,177,212,194,127,171,189,188,183,171,119,150,188,190,193,162,106,155,183,181,180,141,148,152,157,163,170,174,178,179,210,192,131,160,191,188,177,159,105,168,189,200,189,145,114,182,184,182,181,142,150,153,158,164,171,175,180,181,208,191,134,145,192,189,185,163,101,182,195,194,164,124,150,187,186,184,183,144,151,154,160,166,172,177,180,184,203,208,156,134,194,185,182,149,111,197,212,189,137,108,182,188,188,186,185,145,152,155,160,168,173,178,181,186,194,211,154,119,190,168,165,120,134,211,211,179,119,139,191,189,188,187,187,146,153,155,161,169,175,180,184,187,188,205,141,94,158,153,167,160,186,207,191,154,102,179,193,191,189,188,187,147,153,157,162,169,176,181,185,193,170,168,133,114,158,169,175,192,195,193,162,114,129,193,193,193,191,189,188,148,154,158,163,169,177,182,187,203,170,155,135,140,145,155,175,188,187,177,136,100,183,195,195,194,193,190,189,149,156,158,165,172,179,183,196,210,180,184,172,159,119,95,148,164,177,149,111,133,199,198,196,195,194,192,191,150,157,160,166,174,179,185,204,217,186,171,170,163,142,114,91,121,129,107,94,159,201,199,197,196,195,193,193,151,157,160,167,174,179,184,215,212,178,127,119,154,163,146,113,84,88,88,85,183,202,202,199,198,197,195,193,151,157,160,167,176,181,186,220,212,177,127,83,114,172,165,141,110,88,77,81,193,203,203,200,200,198,195,194,152,158,161,169,175,182,187,222,227,184,179,108,140,196,182,149,130,105,69,67,185,204,203,201,200,199,197,196,153,158,161,169,176,183,188,224,229,182,167,117,181,212,188,156,135,108,66,62,185,205,203,202,200,200,199,197,153,158,161,168,176,182,187,222,229,187,165,168,215,195,185,150,126,97,64,75,198,205,203,202,202,201,200,197,152,158,161,168,176,182,186,216,226,198,169,191,220,184,168,164,120,91,62,107,205,204,202,201,201,201,200,197,152,158,161,169,177,183,187,210,223,205,172,199,214,182,165,160,126,81,58,142,206,204,203,202,201,202,200,197,153,158,161,169,177,184,188,201,220,207,176,183,201,175,157,147,112,72,58,176,207,206,205,203,202,202,200,199,153,158,162,169,177,184,189,181,213,201,172,155,175,153,134,119,85,62,83,202,207,206,205,202,201,200,200,199,151,156,159,167,175,182,180,86,155,188,141,130,140,139,119,94,73,64,146,207,207,205,204,202,200,200,199,198,132,135,137,140,143,146,123,63,66,122,129,137,142,150,129,93,73,66,141,153,152,151,152,152,152,152,151,149,112,112,111,113,113,105,70,56,57,59,107,134,138,143,128,86,57,45,101,105,103,102,101,100,99,98,89,75
8,210,212,210,212,213,213,214,213,213,214,214,212,215,215,214,214,215,214,213,213,211,211,210,210,208,208,208,207,212,212,212,215,216,215,215,216,215,215,215,215,198,205,219,216,217,217,215,216,214,213,213,212,209,209,209,208,215,214,215,216,217,216,216,217,216,217,213,229,179,161,225,216,218,218,217,217,216,216,215,214,214,212,211,210,216,216,217,217,218,219,217,217,218,217,218,232,158,160,229,218,219,221,219,218,218,218,217,215,215,214,213,212,217,218,218,218,220,220,219,218,220,217,228,228,128,177,229,219,220,222,221,218,219,219,218,217,216,215,214,213,218,219,219,219,222,222,221,222,223,218,236,225,119,191,229,222,223,223,222,221,222,220,218,219,218,216,216,215,219,220,221,222,222,222,222,223,224,219,242,208,124,211,229,223,223,224,223,223,223,223,221,221,218,218,218,218,221,221,222,223,223,222,223,224,224,222,245,179,131,224,223,226,229,223,229,228,220,223,223,224,223,219,219,219,222,222,223,224,224,224,224,224,223,229,240,175,133,237,220,178,205,228,195,211,232,225,228,216,216,222,221,221,223,224,224,224,225,225,225,226,221,236,238,185,143,255,232,177,154,225,165,148,176,180,203,193,142,217,223,221,223,224,225,225,224,225,225,227,222,242,236,182,182,255,241,207,140,199,189,139,123,158,185,188,97,210,228,220,223,224,225,226,226,226,227,226,224,243,231,182,213,255,254,221,134,170,192,141,192,168,199,203,103,208,227,221,223,224,226,226,226,226,226,225,233,232,215,210,213,242,255,219,140,150,177,155,211,164,204,218,140,190,235,222,222,223,225,225,226,226,227,227,239,204,210,221,208,201,255,224,148,123,159,180,198,153,196,218,182,147,230,226,222,223,224,224,226,226,226,228,242,191,185,212,191,194,245,233,153,100,139,190,187,126,176,223,175,113,214,230,223,224,224,225,226,226,224,229,250,190,153,181,173,162,225,232,144,91,129,191,175,113,192,207,137,134,232,223,224,225,225,226,226,227,224,235,255,202,140,154,145,139,183,227,174,88,118,203,163,127,203,164,107,193,234,223,224,225,226,225,226,228,226,245,255,224,138,144,143,140,167,213,194,89,114,186,138,177,171,115,130,233,225,225,224,224,225,225,226,228,229,248,255,236,153,124,144,136,158,202,148,116,189,199,181,208,152,93,189,234,225,228,224,224,224,225,226,226,227,252,255,246,158,130,155,139,182,228,207,221,217,200,175,178,147,94,219,232,227,228,223,226,229,232,233,234,231,251,255,242,158,142,155,156,221,242,242,234,211,199,162,140,116,131,236,228,229,231,142,147,153,154,158,155,181,255,251,234,163,172,149,188,249,248,244,237,217,188,150,117,94,193,237,227,223,218,106,106,108,107,107,99,130,255,252,233,188,180,157,191,255,254,248,226,206,170,135,105,102,128,128,134,163,203,117,118,118,119,118,117,123,248,254,240,200,181,175,181,255,255,234,207,190,148,118,100,103,118,156,201,229,231,118,118,117,117,116,118,110,232,252,231,197,182,178,183,255,245,219,189,164,128,101,121,182,221,242,239,240,232,118,117,115,116,119,119,116,234,239,215,194,182,172,202,250,222,202,163,138,114,87,219,255,218,208,211,216,229,115,115,115,116,117,114,131,244,228,207,191,185,179,210,218,207,181,142,134,98,129,223,239,242,216,197,204,205,116,116,116,115,119,108,148,251,217,204,195,189,188,205,205,196,167,133,126,106,202,209,195,221,232,201,166,161
4,127,130,133,136,139,143,147,150,152,153,158,158,160,162,164,165,166,166,167,168,169,169,169,169,169,169,168,167,128,132,134,137,141,145,149,152,154,155,158,160,163,164,165,165,167,168,168,170,170,171,171,170,171,171,170,169,130,134,135,138,142,147,150,152,156,158,159,163,163,171,158,132,150,170,167,166,172,173,173,173,173,173,171,171,132,135,137,140,144,148,152,154,157,162,154,150,165,194,170,132,110,152,146,120,153,174,174,174,175,174,173,173,133,136,138,142,146,150,153,156,166,191,164,143,143,190,176,152,126,109,145,112,98,167,176,177,177,176,176,176,135,137,138,142,147,151,155,155,185,213,191,167,132,160,185,159,134,88,139,121,96,138,177,177,178,178,177,177,136,138,139,143,148,152,154,157,181,201,210,187,147,125,191,165,134,83,135,126,99,128,180,179,179,180,179,178,136,139,141,145,150,153,167,174,168,166,177,190,142,102,151,161,119,79,125,124,93,124,181,180,179,179,180,179,137,139,142,146,150,152,192,202,193,178,147,125,116,86,99,126,95,74,107,106,85,136,181,180,181,181,180,180,137,139,143,147,151,152,199,192,188,180,138,87,83,80,67,100,80,58,82,75,73,154,182,182,183,182,181,181,138,139,143,147,153,154,188,139,135,144,112,78,67,88,58,92,97,114,134,87,66,166,182,183,183,183,183,183,140,142,143,148,153,156,182,120,85,110,113,82,66,88,86,112,152,177,161,109,81,139,181,184,184,185,184,184,141,143,144,149,154,156,183,137,113,96,122,92,91,132,137,152,174,179,143,108,95,91,125,172,184,186,185,185,141,143,145,150,155,156,182,151,127,98,90,80,93,145,136,145,152,143,115,102,102,99,94,102,151,186,186,186,142,145,147,151,156,158,179,167,126,91,77,67,62,106,108,112,109,103,91,96,102,103,100,93,91,176,187,187,143,145,148,153,157,159,177,174,137,112,94,79,65,60,79,98,103,95,83,88,101,110,103,95,92,164,187,187,144,145,148,153,157,160,174,187,158,119,101,86,74,70,93,131,139,136,128,111,107,120,104,96,103,175,189,187,143,146,148,154,158,161,172,188,162,131,121,99,85,80,115,162,178,177,168,145,126,117,103,99,132,187,190,189,143,146,149,154,158,162,169,191,165,151,136,107,91,88,123,179,189,183,168,143,122,105,98,104,169,190,190,191,145,146,150,155,158,162,167,189,168,160,137,103,93,97,124,180,179,171,158,136,115,101,98,122,188,191,192,191,146,146,150,155,158,163,167,184,168,154,130,100,99,103,126,168,164,157,148,128,108,100,104,153,193,193,192,192,146,146,150,155,160,165,167,181,169,151,125,103,108,110,137,160,155,151,137,116,102,103,113,179,193,192,193,194,145,147,151,157,161,164,168,177,174,150,123,116,126,118,138,150,147,138,118,105,99,105,143,191,193,194,195,194,146,146,151,157,161,165,169,173,172,150,131,133,131,120,120,131,127,118,103,99,101,115,178,194,195,195,195,194,146,147,152,157,162,165,170,172,175,159,140,133,124,110,100,105,104,100,97,102,103,144,193,197,197,196,195,195,146,147,152,157,161,165,170,172,176,171,139,119,110,100,97,99,99,99,100,102,95,153,195,197,196,196,195,195,147,149,154,158,162,166,171,173,175,175,141,109,95,94,95,101,101,100,100,98,88,136,196,196,196,197,197,197,147,149,153,158,162,166,171,174,176,172,151,116,104,105,106,106,104,98,98,95,89,120,195,196,196,198,198,198
23,181,183,185,186,188,189,191,193,193,194,194,196,196,197,198,197,199,199,198,197,197,196,196,196,195,195,196,196,183,185,188,189,190,191,195,197,196,196,197,199,200,202,203,202,199,197,199,199,199,199,198,200,199,199,199,199,184,188,190,191,192,193,196,197,198,199,199,200,203,202,200,201,211,225,232,214,193,195,204,200,199,201,201,202,185,188,191,192,193,194,197,200,200,200,200,203,202,211,219,236,247,246,232,215,203,191,179,136,194,203,203,203,189,190,192,193,194,196,198,201,202,200,203,201,213,255,255,227,222,219,174,141,148,139,119,149,206,204,206,205,189,191,193,195,196,198,198,201,203,203,205,197,230,255,229,188,187,145,135,180,171,164,185,211,205,206,206,206,191,191,195,197,198,199,202,203,204,205,207,198,244,255,220,152,124,159,201,214,215,215,212,208,207,207,208,208,191,194,197,199,200,203,205,204,205,207,207,205,255,255,224,163,169,219,216,233,219,194,212,208,209,209,209,209,193,196,198,199,202,204,205,206,208,211,204,218,255,248,235,141,183,248,255,255,235,147,216,221,213,211,213,212,194,197,199,201,203,202,205,208,211,214,202,233,255,241,236,194,255,255,255,246,201,130,134,166,216,215,214,213,196,198,200,204,204,205,208,210,212,213,205,253,255,240,255,255,255,254,237,222,211,222,147,84,184,221,212,215,198,201,204,205,206,209,211,213,215,210,215,255,255,255,255,255,254,247,246,248,248,244,185,98,142,229,213,218,199,202,205,207,208,210,212,215,213,216,251,255,255,252,246,253,255,255,249,240,220,203,158,102,99,187,222,216,201,204,205,208,209,211,213,216,210,251,255,255,255,255,244,240,244,245,234,222,208,216,179,96,90,134,230,218,203,204,206,209,211,213,214,216,211,255,255,255,255,255,234,234,240,240,234,223,218,221,190,106,82,151,232,220,205,206,208,211,212,214,216,219,215,252,255,255,255,255,251,252,239,231,222,209,205,197,158,109,89,194,231,222,206,207,209,213,214,215,218,221,214,244,255,255,255,255,248,254,215,186,185,178,164,156,150,108,119,227,226,223,207,208,212,214,215,217,219,222,215,239,255,255,255,255,246,239,201,149,118,99,114,157,149,103,161,238,224,225,209,211,214,216,218,219,221,223,217,236,255,255,255,252,243,221,192,163,111,20,93,159,144,102,198,235,228,228,211,212,215,217,220,220,222,224,222,233,255,255,255,255,239,250,236,146,63,63,125,147,118,112,224,230,228,230,212,214,217,219,220,222,223,224,224,232,255,255,255,255,248,251,216,147,72,88,126,111,93,148,241,228,230,231,213,215,218,221,222,222,225,225,225,230,255,255,255,255,255,249,201,159,104,74,90,102,97,169,244,227,231,231,214,216,218,221,224,224,226,227,228,228,255,255,255,255,255,250,204,155,118,68,93,114,99,189,244,231,233,232,214,216,219,222,223,225,227,228,229,228,255,255,255,255,255,248,206,157,129,90,104,119,105,214,239,234,235,235,215,216,220,222,224,225,228,230,231,229,255,255,255,255,255,243,208,163,131,101,115,117,123,238,233,235,236,237,215,217,220,222,224,226,229,231,232,230,255,255,255,255,251,232,199,158,131,109,116,104,164,251,234,236,237,237,218,220,221,223,226,227,230,231,234,231,255,255,255,253,236,217,188,149,132,120,112,110,228,242,236,239,239,239,219,222,222,225,228,231,232,232,236,232,255,255,255,247,221,198,167,145,136,128,100,161,250,235,239,239,240,240
4,78,88,101,109,112,116,119,123,126,128,130,133,135,138,140,142,144,146,149,151,153,154,155,157,157,158,161,161,81,90,101,110,112,117,122,125,127,129,133,136,135,135,138,142,149,147,149,152,153,155,155,157,157,159,159,160,83,92,102,109,113,119,123,126,130,129,128,131,141,152,130,123,128,152,148,154,156,155,157,158,158,159,158,160,84,93,105,110,115,121,124,127,128,144,147,123,120,159,172,138,90,99,131,107,138,159,156,159,160,161,160,160,86,95,108,112,116,121,125,126,126,170,184,164,122,88,165,136,91,54,127,79,81,166,155,161,161,162,163,163,86,96,107,113,119,122,124,149,152,136,109,165,130,70,118,125,77,48,108,86,74,163,158,161,161,163,163,164,89,99,109,114,120,119,142,195,171,128,71,131,124,65,83,143,93,48,124,109,66,155,161,163,163,163,164,164,89,101,111,115,120,116,159,168,169,124,71,99,146,73,51,150,112,34,141,119,52,153,165,163,164,165,165,165,90,104,112,115,121,117,166,166,141,149,110,64,153,104,9,105,150,75,94,100,115,103,144,167,164,166,167,167,92,103,111,117,124,118,166,166,118,134,113,32,85,93,29,84,158,119,91,100,117,91,108,171,164,168,168,169,94,106,114,117,124,118,166,174,150,119,85,63,50,82,74,94,123,125,120,105,95,121,94,158,169,168,168,169,97,108,116,119,126,123,185,174,139,117,99,72,75,106,85,109,127,122,109,104,129,146,96,130,177,169,171,171,98,109,116,121,125,129,194,171,129,105,86,68,82,101,105,120,141,113,74,127,167,150,118,105,177,171,171,172,99,110,117,121,123,136,199,165,132,107,89,78,89,100,125,128,144,159,160,135,138,153,128,88,162,176,170,171,100,111,117,122,122,146,208,169,135,108,97,82,93,109,135,143,155,175,172,159,149,127,113,70,135,182,173,174,103,112,118,124,122,143,212,173,141,119,95,83,93,112,142,156,171,178,171,160,148,121,93,59,129,185,174,178,106,112,117,124,123,142,214,180,154,128,96,91,96,113,151,170,178,180,170,160,138,118,91,58,152,181,175,177,107,114,117,124,125,145,218,181,159,136,112,105,103,119,162,183,185,178,162,149,134,110,78,77,182,175,177,177,107,114,117,124,126,142,210,183,167,145,131,108,114,136,169,194,188,177,161,142,123,100,57,118,188,174,178,178,108,114,118,126,129,134,195,190,176,157,146,127,119,155,164,189,185,173,160,135,113,80,59,165,181,177,179,179,107,114,119,126,130,128,181,194,181,166,154,142,125,147,159,180,179,168,154,131,109,66,96,188,176,178,179,179,108,113,119,126,132,130,164,205,185,174,158,143,130,141,155,178,174,157,149,129,106,65,150,184,178,179,180,180,110,114,119,127,131,132,153,215,189,172,155,137,133,140,157,170,161,145,132,127,93,93,185,179,179,179,180,180,111,114,119,126,133,134,150,222,181,165,154,143,142,145,155,157,140,131,117,104,83,161,181,179,180,180,180,180,110,114,119,126,133,134,152,213,169,165,162,159,152,146,149,151,136,123,109,71,140,183,178,180,180,180,180,180,111,116,120,127,132,131,156,206,171,173,170,164,164,151,144,144,131,115,83,85,184,174,179,179,181,181,181,181,110,115,120,127,133,132,159,208,191,175,164,168,173,152,134,130,123,106,60,125,185,174,178,179,181,181,182,182,109,115,122,128,133,133,159,205,198,174,167,176,174,145,130,122,121,92,56,157,182,176,180,181,181,181,183,183
8,168,170,170,172,172,172,173,173,173,172,171,171,170,170,169,167,166,165,165,164,162,161,160,158,155,155,153,152,170,172,173,173,173,167,156,172,175,174,173,172,172,171,170,169,168,166,166,165,165,163,161,159,157,155,154,153,172,173,174,175,177,159,111,155,179,177,176,174,173,172,171,170,169,167,167,166,166,164,162,160,158,156,156,155,173,175,176,176,177,145,98,141,181,178,177,175,175,174,173,172,171,170,169,168,167,166,164,163,160,157,157,157,174,176,178,178,178,142,91,143,183,180,179,177,176,176,175,174,174,173,172,171,168,167,166,165,162,159,158,158,176,177,178,180,178,139,85,152,183,181,180,180,180,178,177,176,174,170,169,172,167,166,167,166,164,161,160,159,178,179,180,181,180,141,85,151,185,182,179,169,174,180,177,176,170,139,119,142,146,142,169,167,166,164,163,161,180,181,182,182,183,152,93,142,187,183,163,130,122,165,149,128,138,135,105,86,122,113,167,168,166,165,164,162,181,181,182,184,183,151,91,129,188,177,159,139,111,121,132,103,96,139,118,78,90,101,152,171,168,166,165,164,181,182,184,185,183,155,108,114,184,173,164,153,120,100,131,111,97,138,112,76,68,91,108,165,170,167,166,165,182,184,186,187,186,175,140,110,172,170,161,162,125,91,124,121,94,123,104,73,58,93,87,126,172,169,167,166,183,185,185,186,187,182,150,116,147,151,140,158,127,91,107,123,87,111,129,89,60,97,85,104,172,170,169,167,184,185,186,187,188,186,160,147,139,138,120,145,126,87,87,119,89,101,138,92,72,108,83,124,175,171,170,168,186,186,187,189,190,190,182,161,134,120,115,130,128,93,76,99,78,55,88,70,89,111,80,148,175,172,171,169,187,187,188,189,190,190,186,152,120,98,94,110,140,123,75,59,59,66,65,95,124,106,86,166,175,173,172,170,188,187,189,190,192,192,184,152,125,98,85,91,143,133,89,63,100,134,132,126,129,91,99,177,175,173,171,170,187,188,191,191,192,192,190,168,137,103,87,88,124,120,92,98,142,147,144,118,102,74,121,180,177,174,172,171,187,189,192,192,193,193,190,173,142,111,92,88,116,134,136,152,162,144,134,106,79,73,157,180,177,175,173,172,187,189,191,192,194,194,189,177,149,122,99,90,121,164,174,173,160,136,123,95,62,113,180,180,178,176,174,173,188,189,192,193,195,195,187,175,154,126,102,100,135,173,172,166,148,126,110,82,74,166,183,180,178,177,175,174,189,191,192,193,195,194,183,171,159,130,109,110,144,168,168,160,137,118,98,68,124,185,183,180,179,178,176,174,190,192,192,194,196,196,185,175,164,136,117,114,148,162,164,151,126,107,82,80,172,186,183,181,181,179,177,175,191,192,194,196,197,197,192,181,170,143,122,112,144,153,151,135,112,91,65,131,189,186,184,182,181,180,178,176,190,192,195,196,196,198,195,186,169,144,124,115,135,144,135,118,95,70,89,179,189,187,185,183,182,180,178,175,192,193,195,195,196,198,196,184,164,142,127,120,126,136,124,106,81,71,160,190,188,187,185,184,182,180,179,177,193,194,195,196,196,198,196,185,165,150,140,133,125,131,117,95,69,131,192,190,188,187,185,184,181,180,179,178,192,194,196,197,197,196,193,188,171,162,147,139,129,124,103,79,89,183,193,192,189,188,186,184,181,181,179,177,192,194,196,197,198,191,187,190,174,167,146,139,128,110,92,69,130,195,194,192,190,187,187,185,183,182,180,178
18,137,139,142,144,146,148,150,151,153,154,156,156,156,156,157,158,159,159,160,159,159,160,160,160,160,159,159,159,139,141,143,145,147,150,152,153,154,155,158,157,158,158,158,160,161,161,162,161,160,160,161,161,161,162,161,160,141,142,145,147,149,151,154,155,157,158,159,159,160,160,161,161,162,161,162,162,162,162,163,163,164,164,164,163,143,144,147,148,150,153,156,157,158,159,160,161,162,162,163,163,164,164,166,164,164,165,165,165,166,165,165,164,143,145,148,150,153,155,157,159,160,161,163,163,163,165,166,165,164,163,154,163,168,169,169,166,167,166,166,166,144,147,150,153,154,156,159,160,162,163,164,164,165,167,165,163,179,157,123,117,166,156,154,171,169,167,167,168,146,148,151,153,154,157,160,160,163,166,165,167,168,167,146,124,160,139,97,94,99,133,115,133,176,168,170,170,147,150,153,154,156,159,160,163,164,166,167,162,163,188,141,114,140,134,100,95,79,128,132,89,152,176,170,170,149,152,154,156,159,160,163,165,166,166,174,151,116,151,161,135,144,151,136,134,120,110,119,90,123,182,170,172,149,153,156,159,160,161,164,166,166,168,184,164,136,106,152,149,121,153,161,160,157,128,89,77,122,183,173,175,151,153,156,160,161,163,165,167,168,173,171,179,160,119,109,148,108,120,160,158,160,132,92,65,131,184,175,177,152,154,158,159,162,164,166,168,168,176,144,157,155,134,88,115,121,102,134,131,152,137,102,66,138,184,175,177,153,156,160,162,164,165,167,169,169,178,132,116,143,112,76,89,112,86,92,123,160,151,113,70,153,181,176,177,154,156,159,162,165,166,168,170,172,181,160,132,130,93,68,83,97,74,75,88,170,160,125,77,158,184,176,177,156,158,160,163,165,167,169,171,174,180,157,123,118,94,67,76,97,63,63,115,173,172,138,87,108,187,177,178,156,159,160,163,165,167,170,171,174,179,166,137,113,94,66,78,98,63,122,179,174,167,135,102,79,172,184,181,157,160,162,164,165,168,171,172,173,183,176,150,120,97,86,78,78,125,188,185,179,155,122,101,87,174,184,181,159,161,163,165,167,170,172,173,174,184,178,152,127,111,102,97,119,178,189,180,167,147,109,88,97,186,181,182,160,161,163,166,169,171,173,175,175,182,179,160,141,129,116,107,143,184,190,174,146,128,104,77,118,191,181,183,159,162,164,166,169,171,174,176,174,180,179,164,146,129,119,110,142,183,188,166,140,118,97,76,139,191,181,183,160,163,165,167,169,172,174,177,176,176,176,165,146,130,137,116,132,182,184,155,129,107,92,78,161,189,183,185,161,163,165,169,170,172,175,176,178,175,173,170,153,143,146,121,118,181,170,143,116,98,87,88,179,188,186,186,161,163,166,169,171,174,175,175,177,176,170,167,158,143,146,127,112,173,158,129,107,92,81,106,192,186,187,187,161,164,165,168,170,171,173,174,177,178,174,169,161,145,140,126,107,162,147,115,100,92,76,130,196,185,187,187,160,162,164,167,171,170,172,175,177,177,176,176,160,140,130,112,98,146,128,100,95,91,80,161,191,186,187,187,160,162,165,167,171,172,173,176,177,170,179,175,150,132,112,95,104,134,112,102,97,84,114,188,184,186,187,187,161,163,166,168,171,173,174,177,176,171,188,171,151,137,116,112,111,132,106,105,94,84,164,189,185,186,187,187,161,163,166,169,172,173,175,177,175,175,187,177,160,148,122,113,123,121,106,104,78,126,190,184,187,186,187,188
24,172,172,174,174,174,175,177,177,177,177,178,177,177,177,177,176,175,174,173,172,171,170,169,168,167,165,164,163,175,176,177,178,178,179,179,180,180,180,180,179,180,180,179,179,179,178,176,175,174,173,171,171,170,168,167,166,178,179,180,181,182,182,182,184,184,184,184,182,181,183,183,182,181,180,180,179,178,177,173,164,162,172,171,169,180,182,183,183,185,186,186,187,186,186,186,186,186,185,185,185,184,184,182,181,180,179,179,154,118,169,173,171,183,185,186,187,187,187,187,187,188,189,189,188,188,187,187,187,186,186,185,184,183,181,184,154,102,165,175,174,185,187,187,188,189,190,191,191,192,187,182,191,190,190,190,189,189,188,187,186,186,184,190,153,102,167,179,177,188,189,190,191,192,193,193,193,194,179,131,172,195,194,194,194,193,191,190,189,188,187,193,145,106,175,181,179,191,192,194,195,195,195,195,196,197,171,121,127,196,196,197,196,195,194,193,192,191,193,196,143,115,182,184,182,194,194,196,197,197,197,197,197,199,183,138,103,183,199,197,198,198,196,195,194,192,199,187,129,123,188,186,184,196,197,198,198,199,200,200,200,200,196,156,102,160,203,199,199,200,199,197,197,194,205,175,108,137,191,187,187,198,199,200,201,201,201,201,201,201,202,173,118,127,203,202,202,198,194,199,190,157,159,168,103,162,193,190,189,200,201,202,203,203,202,203,203,203,204,187,140,103,189,206,199,176,152,164,171,134,96,120,108,184,195,193,191,202,203,203,204,204,205,205,205,205,206,196,152,97,153,209,190,177,158,141,136,130,122,89,108,194,196,195,193,203,204,206,206,207,207,207,207,208,208,202,168,126,119,199,177,184,160,147,143,150,145,82,120,201,197,195,194,205,206,207,208,208,209,209,209,209,209,208,187,156,102,148,150,184,173,138,134,140,137,93,124,202,198,197,195,207,207,209,209,209,210,211,211,210,210,212,199,166,125,126,133,162,180,120,77,116,158,118,97,193,201,199,197,207,208,209,211,211,211,211,211,212,213,214,205,188,172,128,107,127,167,109,61,95,164,140,90,149,203,200,198,210,211,212,213,214,213,213,214,214,214,215,208,197,175,116,90,113,148,95,59,119,183,174,114,95,195,201,201,211,212,214,215,215,215,215,216,216,216,216,213,198,169,137,118,119,145,110,90,181,194,172,116,85,189,202,202,212,214,215,216,216,217,217,217,218,218,218,217,201,188,170,133,120,143,121,157,202,185,157,97,91,197,203,202,212,214,216,216,217,218,219,218,218,218,219,218,201,192,188,145,127,109,149,204,204,173,143,89,108,207,204,203,211,212,215,215,217,218,217,217,218,218,219,219,203,187,191,161,139,109,182,207,195,167,133,85,128,209,205,203,212,214,215,216,217,218,217,217,218,219,220,220,205,184,179,169,151,115,170,201,187,156,121,75,145,209,205,203,214,214,215,217,218,219,219,219,220,220,220,221,210,181,179,176,166,131,156,199,182,143,104,71,171,210,207,204,216,216,217,218,219,220,220,221,221,221,223,222,219,191,183,176,174,143,133,184,164,121,81,81,199,209,207,206,217,217,218,219,220,221,222,222,222,222,224,223,224,202,190,180,173,143,114,152,136,97,61,112,211,209,207,207,174,177,182,186,190,193,196,200,202,205,209,211,213,202,192,178,163,139,118,123,127,87,62,167,213,210,207,198,113,112,112,114,115,117,119,123,124,125,128,130,130,167,196,176,164,154,132,120,129,81,72,154,167,164,148,113
14,133,135,137,140,144,146,148,150,150,151,152,155,156,156,158,159,159,158,159,159,160,160,160,160,160,159,159,159,132,136,138,141,145,147,149,150,151,152,155,157,158,158,160,161,160,161,162,162,163,163,162,162,162,161,162,161,133,136,139,142,145,147,150,151,153,154,155,157,158,159,159,164,166,164,163,163,163,165,164,163,163,163,163,163,134,137,139,144,147,148,151,153,153,155,162,159,163,160,147,138,144,158,164,168,167,165,166,166,165,165,164,165,136,141,143,146,148,150,152,154,150,174,182,170,157,141,130,131,125,126,121,123,159,169,165,165,165,166,164,165,137,141,145,148,150,152,154,149,169,201,165,134,119,97,76,96,112,103,82,80,95,172,167,167,167,167,167,167,139,142,144,147,151,152,154,151,208,184,126,87,73,65,65,62,74,78,77,87,71,126,179,169,170,171,169,166,139,142,145,149,151,154,148,181,216,150,108,87,56,53,59,46,53,72,89,88,73,78,115,127,134,173,169,170,142,144,147,150,153,154,150,212,182,118,91,66,51,62,58,47,49,63,92,93,61,84,67,93,109,174,170,172,143,145,147,151,155,148,175,219,153,104,83,53,43,53,50,59,53,144,174,167,139,90,87,96,117,179,170,171,143,146,149,151,155,152,214,205,145,103,88,78,55,35,49,55,86,177,174,173,184,115,117,98,116,182,170,172,142,147,153,157,147,182,230,192,144,101,88,78,61,52,52,56,148,178,171,175,172,110,126,100,91,177,172,172,143,148,153,157,145,196,226,190,141,95,83,72,55,60,54,93,183,172,174,176,171,104,124,109,74,151,180,172,145,150,153,159,143,191,229,190,148,109,79,62,50,57,46,124,183,173,175,179,169,100,115,109,80,133,183,172,146,151,154,160,145,193,230,190,151,120,89,64,54,55,41,137,187,176,174,181,156,116,132,116,87,146,182,173,146,152,155,161,143,201,228,193,158,122,95,75,50,52,41,108,176,177,180,188,141,120,137,120,95,163,182,175,147,152,155,163,144,203,229,198,158,130,105,89,57,55,63,64,84,100,128,161,113,121,133,116,103,173,180,179,149,152,155,163,143,203,226,196,161,135,114,100,71,54,70,72,76,86,96,98,100,126,132,108,111,183,179,179,150,154,158,163,146,201,220,194,164,140,116,100,81,54,71,80,95,106,113,116,97,102,126,103,125,187,179,180,150,156,159,163,146,203,218,196,165,141,115,97,89,63,77,92,108,114,114,114,101,91,108,96,145,188,180,182,153,158,160,163,144,201,211,189,161,136,110,96,91,75,81,95,108,113,113,113,104,98,105,90,162,187,180,181,153,158,161,165,149,195,203,181,158,134,112,103,94,85,90,100,106,110,108,107,104,105,95,122,183,181,181,182,153,157,162,164,155,199,204,182,160,136,122,111,100,91,96,103,105,111,106,103,108,101,133,181,185,185,184,182,154,158,162,165,158,207,207,183,164,137,121,107,100,96,94,104,106,109,105,110,99,143,189,185,185,186,184,185,155,160,164,167,154,209,207,187,166,138,114,100,102,103,98,104,109,110,111,99,124,187,185,185,186,186,183,185,156,161,164,166,156,212,200,182,161,131,108,102,106,105,103,109,113,112,100,122,182,186,186,186,186,186,184,186,157,162,165,166,159,209,197,182,164,135,106,103,105,102,100,107,112,103,131,187,187,187,187,187,187,187,186,185,159,162,165,166,165,204,198,185,174,147,105,100,101,101,100,105,103,127,185,189,188,187,187,187,186,187,187,187
8,180,181,183,183,185,186,187,188,187,187,186,186,186,185,185,185,185,184,184,182,181,180,180,179,179,178,176,174,180,183,185,186,187,188,188,188,188,188,188,188,188,187,187,187,186,186,185,184,183,182,181,181,181,179,177,176,183,185,187,187,188,189,190,190,190,190,191,190,188,190,188,188,188,187,186,186,185,184,184,183,182,180,179,178,185,187,188,191,192,191,191,191,192,192,191,191,189,184,191,188,188,188,188,188,186,185,185,184,184,182,180,179,186,189,190,191,192,193,192,193,194,194,189,201,202,143,181,194,190,189,189,189,187,186,187,185,184,183,182,180,189,191,193,191,193,194,194,195,195,195,190,214,191,117,171,197,191,191,191,190,188,188,187,186,185,183,184,183,191,192,194,194,194,195,196,197,196,196,193,218,166,112,182,197,192,194,193,191,189,189,187,187,187,185,185,184,191,193,195,196,196,198,198,198,198,197,199,219,155,115,193,198,195,194,193,192,191,191,190,189,188,188,186,185,194,194,196,197,197,198,199,199,200,197,206,222,153,127,196,197,196,193,194,194,192,191,191,190,189,188,186,186,195,196,197,198,200,200,201,201,202,197,212,208,134,132,200,197,198,197,196,194,193,192,191,191,190,189,188,187,196,198,199,200,201,202,202,203,203,198,218,206,135,143,205,198,197,194,199,195,193,194,193,193,191,191,189,189,198,200,200,203,205,204,204,205,206,199,226,205,159,158,200,199,210,154,164,206,198,198,193,193,193,193,191,189,199,201,202,204,206,206,207,206,207,204,227,198,172,167,207,217,213,160,120,149,152,185,201,198,193,194,192,191,200,202,204,205,206,206,207,207,208,207,224,204,186,177,221,218,213,190,151,102,103,116,186,176,199,194,194,193,202,204,206,207,207,208,209,211,207,218,234,199,186,192,214,198,206,208,170,160,130,94,126,101,142,203,192,193,204,205,207,210,210,210,210,212,208,228,218,183,178,173,211,186,143,198,189,186,148,97,99,101,82,183,198,193,205,207,209,211,211,211,212,208,216,225,185,155,166,156,199,169,114,121,192,177,145,95,72,93,78,153,207,193,208,210,211,212,212,212,213,211,235,226,195,159,141,131,192,189,153,79,206,189,152,102,69,86,87,182,203,195,207,211,212,213,213,215,211,225,243,218,186,158,142,118,185,194,136,85,187,203,152,105,79,73,137,208,198,199,208,210,213,214,215,216,213,240,239,210,177,154,145,107,114,162,138,129,189,209,154,107,73,122,205,202,201,200,210,211,212,214,217,214,221,245,224,194,183,166,145,117,184,213,204,200,191,193,151,97,113,211,205,204,204,201,211,212,214,216,216,218,233,241,215,202,186,152,136,194,234,221,196,204,178,161,143,101,119,218,204,207,205,203,212,213,216,215,223,197,231,240,213,210,176,143,189,230,220,205,176,190,167,135,138,97,147,217,205,205,206,204,213,214,217,218,223,121,151,244,217,209,162,185,224,229,210,194,172,177,166,117,116,96,206,212,207,207,206,205,213,215,216,228,156,100,93,145,210,199,168,190,214,218,204,192,162,164,155,113,81,151,223,209,210,209,207,205,213,215,225,194,104,100,101,90,112,153,157,183,198,206,195,179,156,159,130,88,91,213,213,212,212,210,208,206,214,220,212,119,101,98,94,102,74,62,93,109,135,165,171,161,153,136,99,71,180,223,213,214,212,211,210,207,214,218,144,97,101,95,92,93,96,48,66,70,67,73,91,104,105,91,68,147,226,214,215,214,213,212,209,207
4,115,119,123,125,128,129,131,132,134,135,135,136,138,139,140,139,139,138,139,138,138,139,137,137,137,136,136,136,116,120,124,126,128,128,130,133,135,136,136,137,138,138,139,141,142,138,142,142,140,139,138,138,138,138,138,137,117,121,124,127,128,129,132,134,134,137,137,139,138,147,145,125,129,151,133,130,143,141,139,140,139,138,137,137,119,123,125,127,130,131,133,135,136,135,143,136,142,172,142,123,111,166,131,103,119,145,142,142,141,140,138,138,120,123,125,128,130,132,134,136,134,154,178,150,126,174,150,120,131,170,135,98,91,142,113,138,143,140,139,139,121,124,127,130,131,133,135,137,133,176,192,173,108,142,166,110,141,175,133,89,139,135,85,92,145,139,139,139,121,125,129,130,134,135,136,135,146,180,180,162,100,129,167,107,142,164,121,130,153,106,83,60,129,144,139,140,123,126,130,131,134,135,138,132,164,167,164,152,89,113,145,147,143,151,171,184,139,81,68,59,128,145,141,141,123,126,130,133,135,137,139,133,175,160,151,153,88,90,134,143,163,173,182,168,145,102,62,57,137,145,142,143,123,127,131,134,135,138,136,149,186,158,132,150,93,72,131,87,116,149,154,142,154,119,71,64,145,145,143,143,123,127,130,133,135,139,134,171,174,136,123,109,72,76,135,70,99,139,115,143,162,130,79,87,151,145,144,144,125,128,131,135,136,138,139,186,163,125,110,105,84,87,103,76,95,134,63,149,178,144,94,87,153,145,146,144,126,129,132,135,137,137,144,195,164,126,103,92,80,90,85,95,100,116,101,148,187,157,111,68,135,150,146,146,126,130,133,135,139,136,154,200,163,126,100,87,83,94,93,127,126,147,170,156,168,151,114,72,102,155,145,147,126,130,133,136,140,136,166,201,164,120,101,98,90,85,96,133,145,171,164,165,139,128,122,84,96,156,147,148,126,131,134,137,141,135,174,198,163,118,118,116,92,90,128,164,175,170,163,151,123,102,111,78,118,155,149,148,126,129,132,135,139,135,179,196,161,135,145,123,108,149,180,188,174,169,157,133,110,91,83,79,145,149,148,148,126,129,133,135,139,136,182,195,173,162,158,125,131,182,186,194,177,156,142,122,104,86,66,115,156,147,148,149,126,130,133,136,140,137,181,198,185,166,156,139,134,185,188,189,170,137,129,113,101,76,81,151,150,150,150,150,127,130,133,136,141,136,175,200,188,169,152,142,144,189,186,173,155,127,114,107,91,66,123,157,151,150,150,150,127,132,134,137,141,136,165,198,179,168,153,144,149,175,169,152,136,118,112,102,72,85,155,152,153,151,151,150,128,132,134,137,141,137,164,190,167,162,160,147,146,159,157,141,121,111,110,90,66,133,157,150,152,152,150,149,127,129,134,136,141,137,160,180,156,161,162,144,138,158,154,138,112,101,101,73,105,158,152,151,150,150,149,148,127,132,137,139,143,141,156,177,157,159,155,140,129,156,156,125,97,93,86,90,154,157,156,156,155,154,154,153,104,106,106,106,109,104,127,186,167,165,151,143,125,147,149,109,89,88,75,91,111,106,105,105,104,104,104,106,73,71,70,70,72,66,91,194,180,171,158,152,127,139,148,109,86,78,74,67,65,64,64,63,62,63,62,58,80,80,79,80,82,80,86,187,186,168,158,155,126,124,152,113,83,73,71,74,74,74,72,71,72,71,68,127,80,80,80,81,81,80,77,176,186,163,150,152,128,114,145,110,79,71,69,74,75,74,72,72,74,63,131,183
4,168,169,171,172,173,174,176,180,180,182,183,183,184,186,188,188,189,190,192,192,193,193,193,191,193,193,195,196,167,169,171,173,173,176,177,180,181,182,183,184,185,185,187,189,189,191,192,192,193,193,194,195,195,195,195,196,168,170,173,173,176,177,178,180,181,182,182,184,188,185,184,185,192,190,192,191,193,194,195,196,196,197,197,197,168,171,174,175,176,176,179,180,183,189,184,175,177,199,189,166,161,194,190,196,194,193,196,197,197,196,198,198,169,172,174,177,177,176,177,180,182,191,199,182,139,172,196,159,129,149,169,156,188,197,197,198,198,198,198,199,171,173,174,177,176,178,205,195,175,140,187,183,135,141,186,151,120,125,158,121,147,205,197,198,199,198,198,198,171,173,176,178,173,195,227,204,164,128,168,181,137,123,182,176,116,126,163,131,136,204,196,198,200,200,199,200,171,173,176,179,175,207,197,208,171,133,146,194,150,103,177,189,124,126,183,136,133,208,196,199,201,201,200,201,172,175,177,178,177,215,183,182,192,150,114,193,159,83,140,200,165,141,162,141,141,186,201,199,201,201,201,202,173,175,177,177,182,214,184,167,160,134,94,128,138,83,108,188,173,159,152,156,157,141,198,201,201,202,203,203,174,176,180,176,189,212,189,174,156,139,129,111,135,124,121,161,176,173,161,149,159,154,171,207,200,203,203,204,175,177,180,174,208,211,184,162,155,144,129,133,154,137,146,158,168,162,145,164,189,167,149,205,202,204,204,205,175,177,180,178,218,202,179,158,145,130,126,139,154,147,159,176,160,130,160,204,193,179,143,195,206,204,205,205,176,179,178,186,226,200,180,159,149,135,133,142,150,160,167,182,182,186,183,183,181,174,142,174,211,204,205,205,176,180,177,192,229,202,185,167,147,137,133,144,158,170,173,186,200,199,190,180,165,152,136,145,212,205,205,205,177,180,176,198,233,202,189,173,150,137,139,142,162,177,192,198,201,194,189,176,162,146,126,131,210,206,206,206,179,181,174,203,234,201,192,176,162,149,146,144,170,194,206,205,197,187,183,174,157,142,122,138,213,207,208,207,178,183,174,207,235,209,197,185,174,155,150,164,181,208,211,205,197,185,174,165,150,138,115,175,215,205,208,209,181,184,176,203,236,216,203,193,185,170,159,179,185,203,208,202,196,184,170,155,137,122,130,210,208,207,209,209,182,182,179,195,240,222,209,195,189,179,169,178,188,203,206,198,195,187,169,148,130,111,179,214,207,208,208,209,180,182,182,186,239,226,208,193,185,177,175,180,190,205,205,192,189,187,167,154,122,142,214,207,207,208,208,209,182,182,183,181,237,227,203,197,189,183,183,185,196,200,195,188,179,176,170,151,122,198,212,209,209,208,209,210,181,183,183,182,238,221,202,207,198,192,189,187,193,196,184,180,172,169,164,127,170,215,207,209,209,209,209,211,182,183,182,187,239,212,208,213,203,201,196,187,191,192,182,174,166,157,134,155,212,208,208,209,209,209,211,211,182,184,179,194,238,221,212,208,203,206,200,186,184,186,178,168,156,133,141,212,208,209,209,209,210,210,211,211,181,183,178,201,240,230,208,202,205,210,200,179,177,176,173,160,145,118,191,211,207,209,209,210,210,210,211,211,181,183,177,210,238,230,208,200,206,206,194,177,170,172,168,153,127,142,216,205,207,208,210,210,210,210,211,211,181,185,177,217,239,231,205,199,203,202,189,175,167,176,163,146,116,175,215,207,208,209,211,210,210,210,211,211
24,182,183,184,184,185,185,187,187,187,187,187,187,187,187,187,186,185,184,183,182,182,182,180,179,178,177,176,175,185,186,187,188,188,189,189,189,190,190,190,189,189,189,189,189,189,188,186,185,185,184,182,183,182,179,179,178,188,189,189,190,191,191,191,193,193,193,193,191,190,192,192,191,191,190,189,189,188,187,185,176,177,185,182,181,190,191,192,192,193,194,195,195,195,195,194,194,195,194,194,194,193,193,191,190,190,188,191,168,130,185,184,182,192,194,195,195,195,195,196,195,196,198,198,196,196,195,195,195,195,194,194,193,192,189,196,171,115,180,187,184,194,195,196,196,197,198,199,199,200,196,194,201,197,197,197,197,197,196,195,195,195,191,201,170,117,182,190,187,196,197,198,198,200,201,201,200,203,192,139,187,205,200,202,201,200,199,198,196,197,195,204,160,121,190,191,189,199,200,201,202,202,201,202,202,206,184,132,141,210,201,204,203,202,201,201,200,198,199,209,157,129,198,192,191,201,201,203,203,203,203,204,203,207,194,155,117,197,206,203,205,205,203,202,202,197,206,201,143,138,203,193,192,203,204,204,204,205,206,206,206,206,205,173,114,174,214,203,205,206,206,203,204,203,217,189,120,151,205,194,195,205,205,207,207,207,207,207,207,207,210,188,131,141,217,206,208,206,202,209,201,166,173,191,115,176,204,197,197,206,207,208,208,208,208,208,208,208,210,198,157,116,204,213,207,185,160,176,187,150,106,141,126,197,203,200,198,208,208,209,210,210,210,210,211,210,212,204,169,110,167,222,195,187,172,153,150,147,146,108,124,208,202,202,200,208,210,211,211,212,212,212,212,212,213,210,181,141,133,217,186,197,171,164,159,167,171,97,138,216,201,202,201,210,212,212,212,213,214,214,213,213,213,214,197,174,115,164,161,198,186,152,156,157,156,110,143,216,202,203,202,212,212,213,214,213,214,215,215,214,214,217,208,176,139,144,148,176,198,138,95,138,181,136,111,210,206,206,204,212,213,214,215,215,215,215,215,216,217,219,211,196,190,149,125,143,187,131,83,113,184,158,103,165,216,204,205,214,215,217,217,217,217,217,217,218,218,219,212,205,188,132,106,133,169,115,82,135,198,190,133,108,210,207,206,215,216,218,218,219,219,219,219,219,220,219,217,206,178,152,137,138,167,130,104,200,205,186,138,101,201,209,207,216,218,219,219,220,220,221,221,221,221,221,221,207,197,186,149,136,168,133,171,215,193,173,115,108,212,208,208,216,218,219,220,220,221,222,222,221,221,221,223,206,199,200,158,145,125,162,217,212,182,163,107,125,221,208,209,215,216,219,219,220,221,220,220,221,221,221,223,208,193,202,175,157,122,198,214,202,179,155,103,144,222,209,208,216,217,219,219,220,221,220,220,221,222,222,224,211,192,188,181,168,128,182,210,195,170,145,93,159,221,208,208,218,218,219,220,221,221,221,222,222,223,222,225,215,187,188,187,181,144,169,212,193,159,129,88,186,219,210,210,218,218,220,220,221,222,222,223,223,223,225,224,223,197,192,185,189,158,145,200,177,142,104,99,214,213,212,211,225,225,225,225,226,226,227,227,226,226,227,226,229,207,197,190,187,160,128,171,153,122,81,127,225,210,210,212,185,188,193,196,200,203,206,209,212,214,218,219,223,209,199,188,175,155,136,140,150,113,82,189,225,217,218,209,128,128,127,129,130,131,133,137,137,139,141,144,139,177,208,185,175,171,150,139,153,103,96,173,176,174,160,126
14,105,109,111,114,119,121,125,127,127,128,130,133,134,134,136,138,137,136,137,138,139,139,139,139,139,138,138,138,105,109,112,115,121,123,126,126,128,129,133,135,136,136,139,140,139,140,141,141,143,143,142,141,141,140,141,140,106,110,113,117,120,123,126,128,130,132,133,135,137,137,138,144,147,143,143,143,143,145,144,143,143,143,143,142,107,111,113,119,123,124,128,131,130,133,142,138,143,139,123,112,119,137,144,149,148,146,146,146,145,146,144,145,110,116,119,122,124,127,129,132,127,157,167,151,135,116,102,104,96,97,91,94,138,150,145,145,145,146,144,146,111,115,121,124,127,129,132,125,150,190,145,107,89,62,36,61,79,69,43,41,59,154,148,148,148,148,148,148,113,117,119,123,128,129,132,128,199,169,98,50,32,23,22,18,33,38,37,49,29,97,162,150,151,153,150,147,113,117,120,126,128,131,124,164,207,127,75,49,12,8,14,0,7,31,52,50,32,38,84,98,107,155,150,151,117,119,123,127,130,132,127,203,166,87,54,23,6,19,14,0,3,20,56,57,17,46,24,57,76,156,151,154,118,121,124,127,133,124,158,212,130,71,45,7,0,7,3,16,8,119,156,148,113,53,50,61,86,162,151,153,118,122,126,129,133,129,206,195,120,69,51,38,11,0,3,11,49,160,156,155,168,84,86,63,85,165,152,154,118,123,130,135,124,166,225,179,119,66,50,38,17,6,6,12,125,161,153,158,153,78,97,66,55,160,154,154,118,124,131,135,120,183,220,176,116,59,45,31,11,16,8,57,167,153,156,159,152,70,95,76,34,128,164,154,121,127,130,137,118,177,224,176,124,76,40,19,4,12,0,95,167,155,157,162,150,65,84,77,41,106,167,154,121,128,132,139,120,180,225,176,128,90,52,21,9,9,0,110,172,159,157,165,134,84,105,85,50,122,166,155,122,130,133,141,118,189,222,179,136,92,59,34,4,6,0,75,159,160,163,174,116,89,110,90,59,143,166,157,123,129,132,142,119,192,224,186,137,102,71,52,12,10,20,21,46,66,100,141,81,91,105,85,70,155,164,162,126,130,133,143,118,191,220,183,140,109,83,66,29,8,29,31,36,48,61,63,65,97,104,76,78,168,162,162,126,132,137,143,122,189,213,181,144,115,85,66,42,9,30,41,60,73,82,84,61,68,98,69,95,172,162,164,127,134,138,143,122,192,211,183,145,115,83,62,52,20,37,55,75,82,82,83,67,55,75,61,121,173,163,166,130,136,139,143,120,189,202,174,140,109,77,61,54,34,42,60,76,81,81,81,70,63,72,54,142,172,164,165,130,137,140,145,125,182,192,164,136,107,80,69,58,47,53,65,73,78,76,74,71,72,59,92,167,165,165,166,131,135,141,145,133,186,193,166,139,110,92,79,65,54,60,69,72,78,73,69,75,66,106,164,169,170,168,166,132,137,141,146,136,197,196,168,144,111,91,74,65,60,58,70,73,76,71,77,64,118,175,170,169,171,169,170,133,138,144,148,132,200,197,172,147,111,83,66,67,69,63,71,76,78,78,64,95,172,170,169,171,171,167,170,134,140,144,146,134,202,188,166,141,104,75,67,72,71,69,76,81,80,66,92,167,171,170,171,171,171,168,170,136,141,145,147,138,199,184,166,144,108,72,69,72,68,65,73,80,69,103,172,172,172,172,172,172,172,171,170,138,142,145,147,146,193,186,169,156,123,72,65,66,66,66,71,69,99,170,175,173,172,173,173,171,172,172,172
2,182,184,185,187,186,187,186,186,186,185,184,184,184,183,183,182,181,180,179,180,179,178,176,174,158,68,58,68,184,186,187,187,187,187,187,187,187,187,186,186,186,184,184,183,182,181,181,180,180,178,177,177,145,63,63,76,186,186,188,189,188,188,189,189,189,188,188,187,186,185,184,180,173,177,180,178,180,179,180,178,156,81,70,73,187,188,189,189,191,190,190,189,189,189,189,188,188,189,185,157,111,124,149,123,175,181,180,178,176,102,76,73,188,190,192,192,192,192,192,192,190,191,192,199,191,173,139,108,83,76,97,80,140,179,181,180,179,118,67,59,189,190,193,193,193,193,194,194,192,199,206,199,152,106,86,74,65,67,72,70,73,152,183,182,182,146,62,40,190,192,193,194,194,194,195,195,194,203,200,161,107,64,62,64,55,58,64,70,66,146,185,184,183,175,78,39,192,193,194,195,196,196,196,197,200,215,165,99,75,57,52,58,62,64,72,91,131,180,185,185,184,182,120,84,193,194,195,195,197,198,198,195,209,209,138,80,69,68,59,65,69,125,168,181,186,187,187,186,185,183,144,130,194,195,196,197,199,200,199,196,221,196,126,79,67,68,63,79,142,186,190,189,188,188,189,188,185,185,110,142,195,195,197,199,200,200,199,205,218,173,108,66,62,60,68,123,193,193,193,192,190,190,189,188,187,185,116,162,196,196,199,200,201,200,199,216,213,162,113,79,73,60,67,136,196,195,194,193,192,191,189,188,189,187,153,148,198,200,201,201,202,202,205,228,206,152,106,85,79,74,65,162,196,196,195,194,193,192,191,190,189,189,183,156,200,202,202,203,202,202,216,229,190,137,97,81,78,78,81,184,198,197,196,195,194,194,193,192,191,190,187,175,200,202,202,203,203,201,229,223,177,128,89,78,76,78,84,189,199,198,197,195,195,194,194,192,191,190,189,181,202,202,203,204,204,205,237,218,169,120,88,78,79,81,89,194,200,199,198,196,196,195,195,194,194,192,190,186,201,203,205,205,203,220,234,204,158,113,86,79,80,77,89,197,201,200,200,199,197,196,195,194,193,191,190,189,202,204,206,206,204,235,228,190,148,105,81,77,73,71,72,149,203,201,200,200,197,193,181,167,154,146,149,183,204,206,206,204,213,236,218,177,135,100,80,69,68,71,76,84,191,203,200,194,173,153,152,148,141,130,102,146,206,207,207,201,226,232,206,164,127,97,78,61,65,72,76,72,123,172,168,149,149,150,152,138,122,119,121,164,206,207,204,208,234,226,197,155,120,93,73,58,72,79,82,83,82,101,128,149,157,146,122,104,133,180,189,191,205,206,199,228,235,220,188,151,115,86,68,63,84,92,100,100,101,108,129,143,134,111,93,145,191,194,193,192,204,199,217,236,231,213,181,145,108,85,67,75,93,102,110,108,107,109,116,112,108,141,174,194,195,194,193,191,199,208,235,230,220,203,174,136,101,85,69,87,98,105,109,106,97,91,94,137,183,197,198,198,195,195,193,192,201,224,228,223,212,193,163,123,95,85,76,97,106,107,100,92,83,99,165,197,202,201,200,199,196,195,193,192,221,219,218,210,194,172,143,107,91,80,81,97,103,100,86,85,148,192,201,203,202,201,200,200,197,196,194,193,218,215,204,187,165,148,117,92,81,78,85,90,93,83,83,160,202,204,203,203,202,201,200,199,197,196,195,194,218,210,190,166,146,133,100,80,77,82,80,79,79,102,174,203,203,203,203,203,202,201,201,200,198,196,195,195
2,190,191,190,191,191,190,192,192,191,192,193,192,191,191,191,191,192,189,189,189,188,188,188,187,186,185,184,183,193,193,193,193,193,193,193,194,193,195,195,193,194,193,193,193,191,192,192,190,187,188,189,188,187,186,185,184,195,194,195,194,195,195,195,195,195,196,196,194,189,182,173,166,151,165,197,193,191,190,189,188,188,187,186,186,196,196,196,197,197,196,196,195,196,196,191,177,152,129,109,90,86,115,165,163,186,192,191,191,191,189,188,188,198,198,198,198,198,199,197,197,192,188,168,130,98,82,76,59,59,71,101,95,175,194,193,193,193,191,191,191,199,200,200,199,200,200,199,192,182,160,118,81,60,53,50,49,54,67,77,86,167,196,194,194,195,193,191,192,200,201,200,199,200,200,198,186,173,119,70,51,46,48,53,46,48,57,68,78,105,192,195,194,194,194,193,193,201,201,200,199,200,201,196,187,153,93,49,39,46,49,50,48,57,69,76,91,146,198,196,197,196,195,195,195,202,202,201,201,202,202,193,184,129,72,44,48,47,42,54,63,61,71,107,169,196,198,199,198,192,180,187,196,202,202,203,202,203,202,193,178,124,74,48,54,45,55,62,63,97,164,191,201,200,200,201,194,173,141,154,198,203,203,204,204,206,197,196,174,123,77,55,45,50,70,75,133,188,204,202,201,201,202,196,175,163,113,160,200,205,205,205,206,198,186,200,170,120,76,57,42,59,66,123,206,204,203,203,202,202,202,183,165,146,107,188,200,207,207,206,207,188,177,201,172,130,83,55,46,59,70,175,208,205,205,205,204,204,201,170,164,117,118,201,200,208,208,208,209,185,175,204,178,143,92,54,50,56,112,208,207,207,207,206,206,204,188,163,154,105,127,204,202,208,208,209,210,184,186,211,184,151,106,62,52,52,146,214,210,209,209,208,206,189,172,169,149,94,131,206,203,208,208,209,212,185,194,214,186,155,116,68,52,55,140,197,184,178,186,196,188,170,172,163,123,96,176,204,204,209,210,211,211,183,199,214,184,157,127,75,51,60,84,116,128,134,138,144,137,154,158,129,100,166,203,203,204,210,211,212,212,182,199,213,185,163,131,81,56,66,93,123,142,142,127,122,115,123,120,94,159,205,205,206,205,210,212,212,211,180,199,210,191,167,133,87,71,77,115,134,149,139,121,104,99,95,83,143,206,206,207,207,206,211,212,213,209,182,199,208,193,166,132,96,83,78,116,128,138,133,114,94,86,72,116,203,209,208,208,207,207,213,213,215,209,187,201,206,195,163,130,103,92,78,105,118,122,120,104,88,75,99,189,212,210,210,209,209,208,214,214,215,208,194,205,204,198,163,125,104,91,76,100,103,104,99,88,81,127,190,212,211,210,210,209,209,208,216,215,215,206,200,207,200,192,152,110,93,83,75,96,89,91,81,88,158,207,214,212,210,210,210,209,209,208,215,214,215,202,201,206,196,182,141,96,84,79,78,89,78,78,95,172,214,214,214,213,211,211,211,210,210,209,214,214,214,202,196,198,195,186,149,92,87,87,84,81,67,112,188,214,216,214,215,213,212,212,211,210,209,209,214,215,213,202,198,192,196,196,163,92,92,94,89,70,110,199,213,214,215,214,213,212,212,212,210,208,208,208,214,215,209,204,208,199,201,199,170,95,95,98,90,100,193,216,215,215,215,214,213,213,212,212,210,209,208,207,215,216,207,206,209,207,203,197,169,100,91,94,87,153,216,216,216,216,216,215,213,213,214,213,211,211,209,208
8,115,122,131,135,138,140,147,153,155,157,157,159,161,163,162,162,163,164,164,164,164,164,164,161,161,160,159,159,117,126,136,142,140,162,152,149,161,161,162,163,165,165,166,165,166,166,166,165,166,165,164,162,162,160,159,159,123,132,142,148,144,193,142,113,173,166,169,169,170,171,170,171,171,171,170,170,168,169,168,167,165,164,161,160,127,136,146,152,152,212,137,93,180,174,176,177,178,178,177,177,176,178,177,174,175,174,172,172,170,168,165,163,131,142,150,157,158,230,135,92,188,182,184,185,185,184,184,187,187,181,182,186,181,179,179,178,177,173,171,167,136,146,155,162,165,227,131,99,194,188,191,191,198,194,193,181,179,205,188,150,184,188,185,185,182,179,177,175,143,153,161,168,170,233,147,98,198,195,196,198,160,178,236,170,99,178,223,122,123,197,191,192,189,185,183,180,148,158,165,172,178,237,158,108,194,199,219,246,162,149,224,189,126,146,189,158,99,168,206,197,196,192,189,187,153,163,172,178,183,238,191,146,180,210,248,255,240,209,171,171,189,222,144,89,96,131,214,200,201,198,196,193,157,168,178,185,185,232,199,181,199,230,228,231,249,183,176,183,197,196,156,92,47,103,218,204,205,204,201,197,161,171,182,189,188,228,215,195,225,234,200,159,247,194,168,182,157,145,173,121,41,118,225,207,209,207,205,204,164,175,184,193,192,229,235,190,216,219,215,151,186,218,123,96,89,159,192,139,67,168,226,214,213,210,210,208,170,180,188,196,196,233,251,151,193,193,166,161,158,210,129,50,41,216,213,163,85,153,234,216,219,215,212,212,174,185,192,199,200,232,254,166,127,185,135,138,150,186,170,103,59,191,244,184,106,83,224,225,222,219,216,214,175,187,195,201,203,230,255,203,114,136,159,131,170,195,182,108,199,234,232,194,123,60,181,240,225,223,220,219,180,189,197,204,207,228,255,221,144,108,171,133,210,233,191,185,255,239,195,155,117,70,180,245,228,227,224,221,183,191,200,209,212,230,255,233,176,117,135,149,204,245,241,255,245,210,180,128,98,83,221,238,232,234,240,237,185,196,203,211,215,233,255,248,199,144,129,153,193,254,253,255,238,193,153,119,66,131,255,248,247,225,166,101,186,197,206,214,217,234,255,255,213,172,147,157,181,251,255,248,218,176,136,99,62,207,221,158,112,56,22,18,188,199,208,214,219,232,255,255,225,187,175,156,175,231,255,237,197,155,122,87,65,92,41,18,21,31,31,27,190,202,209,216,221,228,252,255,238,199,202,161,160,207,245,229,184,139,111,76,40,10,16,21,15,34,37,20,191,202,210,217,224,225,239,255,244,211,205,173,150,198,218,218,171,128,102,68,25,11,10,30,8,15,36,34,192,202,210,218,225,230,229,249,239,220,199,172,126,186,191,198,151,111,89,41,23,13,0,20,25,6,17,29,190,201,209,216,223,231,221,241,244,220,195,162,124,148,184,164,135,100,76,1,2,31,0,0,27,17,2,15,192,203,210,216,222,231,223,240,255,231,196,163,129,125,167,151,120,92,56,0,0,18,22,0,10,23,9,6,194,203,211,217,223,231,226,239,249,219,182,162,128,122,140,139,109,72,36,12,0,0,26,10,0,18,19,5,196,204,212,218,222,234,214,240,242,182,184,169,137,119,123,131,106,42,12,30,0,0,13,23,0,1,17,11,187,197,206,214,220,238,152,239,247,195,207,182,145,114,117,124,95,11,0,30,0,0,0,22,13,0,4,15
6,179,179,180,182,182,183,183,183,183,184,186,185,184,184,182,181,182,182,181,180,180,179,179,177,175,176,174,173,179,181,182,183,184,185,186,186,186,186,187,187,186,186,183,182,183,183,182,182,180,180,181,180,177,176,177,176,181,184,185,185,186,186,187,187,187,187,187,186,187,187,185,184,184,183,183,183,182,182,181,180,179,178,177,177,182,184,186,185,187,188,187,187,189,188,188,188,187,187,187,186,187,185,184,184,182,182,182,182,181,178,178,176,184,186,187,186,188,190,190,191,191,191,190,190,188,189,187,187,185,186,187,186,185,185,183,176,175,185,177,177,185,186,187,187,189,190,191,191,192,191,190,189,190,190,189,189,190,190,187,184,180,171,168,145,182,212,161,168,186,187,188,190,193,192,192,192,192,192,193,194,192,190,186,183,174,165,168,174,170,160,161,147,163,178,135,169,188,189,190,192,194,196,195,194,193,193,188,187,186,181,167,158,135,143,151,169,158,146,124,111,107,125,161,183,189,191,192,194,195,197,197,196,195,188,159,156,143,153,168,159,149,121,131,128,109,94,97,120,147,175,185,181,191,193,193,195,196,198,198,195,190,180,166,167,134,89,119,117,102,81,90,98,125,148,179,192,191,187,183,183,193,195,195,199,199,198,195,176,179,181,184,171,120,75,59,57,62,91,139,182,196,196,190,188,188,187,185,185,196,197,198,200,196,190,185,176,170,175,182,154,101,72,62,67,149,183,200,197,194,192,192,191,190,188,186,186,197,197,197,194,189,184,179,173,163,171,170,161,142,86,64,66,178,205,191,196,196,195,195,193,190,188,188,188,197,196,194,190,185,175,174,171,166,167,171,176,158,100,67,62,76,200,197,197,196,195,195,193,192,190,190,189,192,194,197,189,179,173,174,173,169,170,172,169,154,109,66,70,55,132,212,197,198,197,195,194,194,192,192,191,203,205,199,188,180,174,172,174,171,165,170,171,167,137,73,62,66,67,190,204,199,198,197,195,194,194,193,191,211,208,192,183,185,176,172,171,174,175,178,178,169,133,79,63,61,56,185,206,200,200,199,197,196,195,194,192,206,196,187,189,182,175,171,170,170,162,160,157,142,114,85,69,52,122,215,200,201,201,200,199,197,197,196,193,209,192,182,185,172,170,175,167,162,150,143,140,125,104,90,80,52,119,219,201,204,201,201,200,199,200,197,195,211,202,180,166,166,172,176,171,160,150,141,141,128,98,89,90,71,60,194,210,205,202,202,200,199,200,198,195,194,196,170,153,157,166,166,163,152,139,121,116,96,82,83,97,74,59,194,211,206,205,202,201,200,200,199,197,83,138,144,133,143,154,153,143,128,114,101,88,52,64,85,91,66,149,216,208,208,206,204,203,201,202,201,200,40,51,93,111,123,136,130,115,95,81,72,66,58,74,87,95,170,217,209,208,209,207,206,203,202,202,201,200,44,43,39,50,65,86,97,90,99,126,152,122,101,105,144,196,218,210,210,208,208,208,207,205,205,203,201,200,37,40,39,16,12,24,29,37,194,224,222,220,212,214,220,216,213,213,211,210,209,209,209,207,206,205,201,200,34,32,43,32,10,17,0,91,226,214,215,215,215,215,213,213,213,212,211,213,210,209,208,207,206,204,202,201,31,29,38,38,11,14,7,181,226,213,217,216,215,215,214,214,213,212,211,211,210,209,208,207,206,204,202,202,28,27,39,39,14,1,73,227,213,216,216,216,216,216,216,215,214,213,213,212,211,210,209,208,206,205,203,202
24,135,141,147,152,156,159,163,167,170,172,176,179,181,182,184,186,186,187,187,187,188,189,189,189,190,189,189,188,137,143,149,154,158,161,164,168,172,175,178,180,183,185,187,187,187,188,189,189,190,191,192,193,192,192,191,191,139,145,151,156,160,164,166,169,174,177,180,182,185,187,188,189,190,191,192,192,193,193,195,195,194,193,194,194,141,147,153,145,159,166,169,172,175,179,182,185,187,189,191,192,192,194,195,195,195,195,196,196,195,195,196,196,142,151,153,110,136,168,170,174,178,181,183,186,188,191,193,194,194,195,195,197,197,196,197,197,197,197,197,197,144,151,148,101,100,167,172,176,180,182,186,188,189,193,195,196,196,196,198,199,200,198,199,200,200,200,200,200,145,153,155,113,81,154,174,177,182,185,187,190,192,195,197,198,199,198,200,201,201,200,200,201,201,201,201,201,146,153,159,128,79,130,177,179,179,181,189,188,177,184,194,180,184,199,201,202,203,202,201,202,202,202,199,198,149,156,162,145,97,98,172,175,147,138,174,183,148,118,153,159,130,172,204,203,203,203,203,203,202,193,171,140,150,156,162,164,119,83,142,167,153,139,144,188,160,113,136,164,120,115,201,205,204,204,205,204,194,171,132,117,151,156,162,168,139,102,109,152,183,166,138,180,171,128,149,168,116,92,189,208,207,207,204,198,179,138,120,184,152,158,163,167,162,130,104,106,179,177,138,161,176,132,146,170,116,79,170,210,208,207,201,193,158,109,161,209,153,159,165,169,172,143,118,118,147,183,149,140,178,135,133,176,131,75,156,211,208,198,197,183,129,107,197,211,154,161,166,171,174,162,164,146,129,160,146,107,159,127,112,178,147,75,122,202,187,182,188,153,104,163,211,211,155,161,167,171,174,182,178,130,102,118,133,87,131,122,105,196,167,70,73,134,156,172,158,111,137,208,212,213,154,161,167,172,175,181,171,137,111,108,123,104,118,130,99,129,116,78,110,142,152,146,117,110,195,214,214,214,155,161,166,171,175,180,192,171,132,115,112,118,104,150,123,114,157,165,170,158,130,113,91,157,213,213,214,213,156,162,167,170,175,180,195,186,159,136,114,104,112,152,173,195,197,187,172,149,113,93,111,199,212,212,214,213,155,161,167,171,176,180,195,196,182,150,117,101,134,178,203,201,192,176,158,133,102,95,174,213,213,215,215,215,156,162,167,171,177,180,195,202,192,154,120,117,154,189,204,198,183,162,139,117,91,145,210,214,215,215,216,216,155,161,167,172,176,180,189,199,198,163,141,144,152,188,199,195,175,153,127,101,105,198,214,214,215,216,216,216,147,154,160,165,170,175,180,190,194,170,150,153,139,170,186,181,164,145,115,93,158,215,215,215,215,216,217,217,106,109,111,114,117,122,127,157,187,171,151,145,121,142,165,155,142,124,100,107,175,187,190,193,195,199,202,204,95,95,97,99,98,99,98,117,185,173,144,130,110,133,158,142,120,103,90,99,110,112,115,117,117,121,123,124,97,98,101,102,103,103,104,108,176,164,134,122,117,135,154,132,105,87,88,105,107,107,108,109,107,110,117,126,97,98,100,100,100,102,103,107,178,162,144,137,135,137,143,120,92,80,93,108,109,109,109,116,137,167,178,168,98,99,102,101,101,103,102,112,189,177,164,155,141,130,134,108,86,77,99,109,109,110,108,138,193,193,203,184,100,100,102,102,102,103,103,116,186,179,172,160,132,121,126,100,84,75,99,109,109,109,115,181,216,191,180,203
4,164,166,166,167,170,172,174,175,175,175,174,174,174,176,174,176,173,174,176,175,175,175,177,175,175,173,172,172,167,167,169,172,174,174,175,176,176,176,175,176,175,175,176,179,182,178,176,177,181,179,176,177,177,175,175,175,169,171,174,175,177,176,177,176,177,179,179,181,183,183,174,149,135,168,169,135,138,183,183,179,182,179,178,176,173,175,176,177,177,178,180,180,179,180,180,166,159,168,196,183,142,105,114,152,116,86,165,187,183,183,181,181,175,176,177,178,181,182,183,183,183,185,184,181,156,107,112,194,175,108,32,75,130,46,77,201,181,183,184,184,177,178,180,182,182,183,184,180,180,167,186,196,175,118,47,100,181,102,42,2,91,57,51,196,183,185,185,184,180,182,181,183,184,185,183,185,181,114,82,127,183,127,49,0,156,124,66,0,74,92,50,190,190,188,186,187,182,184,185,185,186,183,188,184,185,120,36,17,158,160,73,0,115,186,111,6,66,133,61,188,192,189,189,189,182,186,188,187,188,186,190,151,145,132,81,0,124,194,73,36,131,181,120,35,30,114,93,199,190,191,190,191,184,186,186,189,192,189,192,160,77,133,134,20,60,169,80,25,68,118,110,31,14,49,30,180,197,191,192,193,185,187,189,190,191,190,196,170,122,118,120,46,25,59,56,44,39,61,73,28,38,75,39,92,209,192,196,194,187,188,192,191,192,191,198,190,162,119,73,37,33,49,43,57,63,52,45,31,118,130,112,61,166,205,194,194,190,191,193,193,194,193,202,189,147,119,81,56,59,64,67,88,89,94,109,104,122,159,140,80,75,209,195,197,190,191,193,195,195,194,201,183,130,97,77,60,77,90,116,128,147,170,193,186,149,139,107,63,20,160,208,195,190,191,194,196,197,196,201,189,144,109,87,73,97,99,145,186,164,185,186,179,163,131,90,46,18,107,219,195,192,194,197,199,199,197,200,207,167,126,91,81,94,105,175,185,172,183,182,173,151,126,89,50,15,136,214,197,192,196,198,200,200,200,197,206,181,143,106,81,94,117,179,186,184,192,189,170,153,129,84,40,36,195,205,201,194,197,198,199,201,201,199,205,198,160,121,86,116,119,168,191,199,205,198,180,154,109,74,26,97,221,203,205,196,198,199,200,201,203,200,202,206,175,131,103,133,132,157,195,206,209,214,196,144,94,64,24,163,216,204,206,197,199,200,201,203,205,201,197,203,196,137,114,136,145,166,195,211,216,220,184,125,93,45,50,211,208,208,206,199,200,202,202,205,206,206,191,189,195,152,122,135,142,172,200,205,220,198,150,109,88,26,111,227,206,209,208,201,201,202,203,206,206,210,186,182,195,172,138,129,139,168,198,195,194,163,127,98,69,22,181,218,207,209,208,201,202,203,203,203,204,210,195,175,195,183,158,140,144,163,185,188,162,138,109,76,33,92,225,210,209,210,208,201,201,202,202,204,206,208,209,176,173,177,166,152,148,147,154,159,135,109,75,40,43,201,215,212,213,212,211,197,199,200,201,202,204,205,211,185,167,175,163,153,147,130,129,141,121,86,54,11,129,226,208,211,213,213,211,198,199,199,202,203,205,206,212,187,175,170,153,144,139,117,112,123,105,55,38,23,192,216,211,211,211,211,210,201,201,202,204,205,206,206,210,193,175,156,122,130,129,119,117,109,84,49,26,58,219,211,214,213,211,212,211,201,202,205,205,206,206,206,211,197,176,167,137,155,150,137,123,104,82,60,16,94,224,211,214,213,212,211,211
18,190,192,195,198,200,202,205,208,210,212,214,216,217,218,220,220,220,220,221,219,220,221,221,222,222,223,223,223,191,195,196,199,201,204,207,210,213,214,216,217,219,220,220,220,222,222,224,226,221,224,224,223,224,224,225,225,193,195,197,200,203,207,208,211,215,217,218,219,221,222,224,224,223,214,190,206,232,224,224,230,225,226,228,227,194,196,199,202,206,209,210,213,216,216,221,222,222,223,221,219,244,212,172,142,193,196,176,201,235,228,229,229,194,198,202,205,207,210,211,215,217,219,222,224,225,224,192,168,214,195,144,143,120,177,175,137,206,236,229,231,197,200,202,206,209,211,215,217,220,221,223,218,233,242,186,161,198,177,132,133,117,173,195,145,145,241,230,231,200,201,204,208,211,214,218,219,222,222,229,192,174,220,208,186,206,184,165,157,141,146,173,148,132,236,233,233,201,203,206,209,213,217,218,221,222,228,242,207,179,161,214,198,184,206,199,198,190,160,133,128,136,238,235,234,202,205,207,210,213,216,220,222,223,233,236,234,212,163,165,201,162,185,216,209,209,178,128,102,137,241,235,236,203,206,209,212,215,217,221,223,226,234,204,229,210,184,132,163,175,140,188,209,204,172,136,104,137,246,235,237,204,207,210,214,218,221,223,223,227,235,173,171,197,167,116,126,164,125,128,174,195,186,154,108,152,249,235,239,205,208,211,215,218,222,224,226,227,237,193,162,184,139,107,111,141,118,103,129,204,205,170,118,145,251,236,241,206,210,212,216,218,222,223,226,228,241,222,184,174,138,110,102,133,113,92,106,198,223,183,144,115,226,244,239,207,210,214,216,219,222,225,228,229,242,213,173,159,140,114,97,139,120,79,175,227,234,205,159,113,151,251,240,208,211,215,218,221,224,226,229,229,238,231,208,173,144,121,111,123,101,160,243,241,228,200,157,130,136,248,243,210,212,215,218,221,225,228,232,230,240,238,213,176,147,132,126,117,153,236,254,248,228,189,150,127,152,252,242,210,212,217,219,221,225,228,232,231,241,240,218,184,160,147,150,152,212,250,255,234,215,181,140,116,172,255,241,211,214,217,219,222,226,228,232,233,238,241,225,199,181,172,152,162,222,249,250,218,190,163,136,112,196,255,243,210,215,217,220,223,227,229,232,232,236,238,226,206,186,175,160,162,209,251,244,209,182,151,132,116,214,254,246,210,213,218,221,224,227,230,234,235,234,236,228,209,185,180,181,160,198,250,234,196,168,143,126,124,234,251,247,209,213,218,221,223,226,229,231,235,235,232,227,214,194,200,191,159,181,248,217,185,153,136,121,140,249,249,249,210,213,216,219,222,225,230,229,233,236,230,223,216,203,196,197,166,168,236,202,170,143,130,117,159,255,246,249,210,214,217,220,223,225,231,230,232,234,232,224,219,206,194,193,172,154,218,192,152,135,129,113,179,255,245,249,212,216,220,221,223,227,231,231,233,237,235,231,226,208,191,182,162,139,199,172,137,128,129,121,220,252,247,249,212,215,219,222,224,228,230,232,234,236,230,242,225,198,178,162,136,137,175,152,136,132,119,163,255,248,249,249,212,215,218,222,225,228,230,231,235,233,229,247,220,192,174,146,138,141,168,146,136,131,124,221,251,247,249,249,212,216,218,222,225,229,230,232,236,231,235,248,225,202,185,160,149,152,168,139,141,113,166,255,247,248,248,250,211,216,218,221,225,228,229,231,234,228,236,241,230,210,197,163,142,166,158,141,131,110,210,252,245,249,249,249
16,138,145,149,150,154,160,165,168,171,175,180,182,185,186,188,191,192,194,196,197,199,200,201,202,203,202,202,203,140,147,150,150,155,160,166,169,172,176,181,183,186,189,190,191,194,195,197,199,201,202,204,204,203,203,204,205,143,148,150,152,156,161,166,170,174,178,182,185,188,190,192,194,196,198,199,200,203,203,204,205,205,205,206,206,142,149,151,154,157,162,168,172,176,181,184,186,190,192,195,196,198,199,201,202,203,204,205,206,207,208,209,209,144,149,152,155,160,165,169,174,177,182,185,185,190,194,194,196,199,199,203,204,204,204,206,206,208,210,210,210,146,152,154,156,161,166,170,175,179,184,183,195,193,192,205,195,196,206,204,203,205,205,207,208,210,212,212,211,148,154,155,157,162,167,172,178,182,182,195,238,218,229,237,202,174,176,206,212,208,208,209,211,211,213,213,213,149,155,156,159,164,168,173,180,174,220,241,246,244,247,232,203,176,142,135,174,205,215,211,211,213,214,216,215,149,156,156,159,165,170,175,176,201,247,247,248,245,234,218,191,153,141,120,114,131,171,213,215,213,215,216,216,152,156,158,160,167,174,172,202,249,245,247,246,232,213,199,166,140,145,121,126,117,112,144,212,218,215,217,217,151,156,158,161,167,174,169,221,245,246,247,239,216,187,162,135,137,135,125,134,123,120,109,132,214,219,217,218,151,156,158,162,168,175,173,231,247,247,234,218,196,156,130,129,114,135,132,139,128,122,120,107,139,231,220,218,153,158,160,163,169,177,175,237,249,237,205,188,156,130,120,92,74,141,135,137,131,125,118,119,109,154,214,223,154,160,162,165,171,178,174,232,249,238,206,159,121,103,58,34,72,136,134,141,130,123,120,123,110,40,108,235,156,161,162,165,171,180,174,223,249,241,202,137,111,70,24,28,73,136,143,148,127,120,121,120,68,33,123,240,157,161,162,165,172,178,176,207,249,237,181,120,94,65,38,57,74,114,162,142,125,119,123,79,44,32,172,239,157,161,163,166,172,179,181,194,249,223,158,113,104,106,81,91,90,126,186,122,123,124,89,31,50,35,203,232,157,162,163,166,173,180,181,196,245,195,130,121,126,115,109,102,93,194,175,118,125,87,20,38,44,47,222,228,159,163,164,167,174,182,180,213,244,169,130,134,126,124,127,92,160,219,157,126,90,29,34,51,30,67,233,227,160,163,164,169,176,184,178,219,243,144,159,118,78,99,99,107,234,216,156,113,61,42,50,39,25,96,244,226,161,164,164,169,176,184,178,232,224,118,184,114,89,96,79,126,249,226,174,88,56,46,36,38,24,148,244,226,159,163,165,169,176,180,189,245,160,135,199,112,110,117,99,114,240,228,185,74,48,41,34,42,27,174,242,227,158,162,163,168,177,179,194,187,140,196,184,112,120,123,121,104,193,229,187,81,34,37,39,45,30,169,243,227,160,163,165,169,177,183,185,187,194,206,172,116,127,129,128,103,93,163,131,47,32,38,41,47,34,175,243,227,160,163,165,170,177,183,187,192,193,206,164,120,125,125,105,68,41,38,39,36,40,41,42,46,34,182,243,229,161,164,165,170,177,182,187,193,195,207,157,114,116,108,70,42,45,48,48,49,47,46,43,46,29,130,249,227,161,165,166,171,178,183,189,195,196,208,164,119,105,89,57,50,58,60,61,60,54,49,45,48,29,133,249,228,161,165,168,171,178,184,189,193,199,200,146,122,109,93,71,63,69,68,69,65,58,54,47,50,29,157,248,230
23,172,175,180,181,182,184,185,186,186,188,189,188,188,187,187,188,189,189,189,190,188,189,189,188,189,187,188,187,175,177,181,183,184,186,186,188,189,188,188,188,189,190,190,192,193,192,193,190,189,190,191,190,190,189,189,189,178,181,182,186,187,188,189,189,192,191,190,191,193,189,189,186,176,180,192,196,193,193,194,193,193,193,191,190,180,182,186,187,188,191,192,193,192,194,196,195,190,204,218,196,173,156,170,155,182,199,197,196,195,196,195,192,181,184,187,189,191,192,195,195,194,196,197,195,209,220,205,178,149,147,128,100,185,202,198,198,198,197,197,196,183,186,189,191,193,196,196,196,196,197,198,214,213,169,161,121,135,142,140,178,201,198,200,199,200,201,200,200,185,188,190,192,195,196,196,198,199,197,199,207,183,123,117,165,209,206,210,206,200,202,202,201,201,203,202,201,188,190,193,196,196,198,198,199,201,200,201,197,166,133,125,223,200,200,193,193,206,202,204,205,205,204,204,203,190,192,195,197,197,200,201,201,202,203,205,199,166,163,118,200,201,213,197,120,178,210,205,206,207,207,204,204,190,195,197,198,199,202,203,204,204,204,203,205,186,164,145,214,229,220,194,105,138,221,206,208,207,207,205,205,193,197,198,199,202,203,203,205,205,205,203,211,196,204,229,225,205,201,186,87,105,165,170,213,206,207,206,205,193,196,199,200,203,203,204,205,206,206,205,203,209,222,214,204,208,196,154,93,43,116,124,214,210,208,208,207,195,196,200,203,204,204,206,207,208,207,202,203,212,219,222,204,202,190,105,75,36,88,79,120,220,212,210,210,196,197,200,203,204,204,207,208,207,211,209,208,209,213,206,196,203,179,94,66,41,65,79,53,126,222,209,211,198,199,201,204,204,206,208,210,208,217,222,201,204,204,205,206,191,138,86,73,43,52,76,79,70,209,214,211,198,200,203,204,206,208,209,210,210,211,216,205,208,210,198,171,125,77,91,79,46,47,75,67,125,222,212,212,199,201,203,204,207,209,209,210,212,203,211,206,202,184,153,109,51,61,94,75,40,61,83,74,197,222,213,213,198,202,204,206,209,210,210,211,214,205,208,202,196,184,132,83,45,83,80,43,37,68,73,138,226,214,216,215,197,202,204,207,208,209,211,211,213,207,204,199,205,187,106,59,47,59,38,37,52,65,80,202,222,217,218,217,198,201,203,205,205,207,210,210,212,205,200,199,209,165,103,77,41,36,42,55,75,62,127,228,216,218,219,219,199,202,204,205,207,209,209,210,211,205,201,207,211,170,115,89,44,41,72,85,92,70,175,230,218,219,218,218,198,202,204,206,209,210,209,209,212,203,198,216,207,172,127,95,63,49,83,94,97,76,194,226,218,218,218,218,197,201,204,206,209,210,210,210,213,202,191,216,204,171,132,98,75,51,83,96,92,90,214,221,219,219,218,218,197,202,205,206,209,210,211,210,213,200,192,208,200,168,128,95,80,56,80,101,78,124,230,218,220,219,219,218,199,202,204,206,208,210,211,210,215,190,188,205,195,161,126,94,79,64,73,92,71,190,226,217,219,219,220,220,200,204,208,209,213,216,217,217,221,187,201,206,183,155,122,94,78,72,69,73,156,232,222,223,222,223,221,217,122,128,134,137,140,142,147,154,149,170,222,209,179,144,115,94,79,77,64,139,210,203,205,212,214,207,205,203,91,92,94,93,94,95,97,97,84,184,234,208,176,135,113,96,78,75,84,106,119,137,146,175,191,179,187,186
23,164,167,169,172,175,177,179,181,182,182,182,182,182,182,182,180,181,180,179,178,177,176,177,176,175,177,189,199,167,170,173,176,178,182,184,184,185,186,186,186,186,186,187,185,186,184,181,180,180,180,179,178,177,179,165,162,169,174,177,179,182,186,188,188,190,190,191,191,190,188,187,187,183,186,189,184,183,184,183,181,180,181,171,124,173,177,180,183,186,189,191,193,194,195,195,194,194,202,214,215,190,161,176,187,189,187,186,184,183,182,186,155,176,179,184,186,189,192,195,197,198,198,200,221,222,228,234,220,207,191,183,182,177,192,190,188,187,186,184,184,178,181,185,188,191,195,198,200,202,200,211,233,208,187,181,144,156,175,172,145,152,197,192,191,190,189,188,186,180,184,188,190,194,198,200,203,204,202,224,221,205,121,135,173,187,171,154,156,191,199,196,195,193,192,191,189,182,186,189,193,196,199,202,205,206,208,232,219,201,157,185,190,215,209,208,209,204,201,201,200,197,195,193,192,184,188,191,195,198,201,204,207,208,215,228,214,222,232,202,120,193,214,205,204,205,204,204,203,201,199,197,195,186,190,193,197,199,203,206,209,208,220,228,232,241,228,196,122,179,210,215,213,209,207,208,206,205,203,200,203,187,192,194,198,202,204,207,210,209,227,239,238,218,212,176,175,227,166,168,195,208,215,209,209,208,205,210,170,189,193,196,199,204,207,208,210,223,232,229,207,188,203,188,196,220,169,111,104,126,192,217,211,209,211,201,102,191,195,198,201,205,207,213,228,231,220,208,211,216,223,219,181,177,164,115,103,100,140,222,211,208,219,156,93,191,196,200,203,205,219,227,225,223,225,231,235,229,218,203,169,116,154,128,114,108,142,222,216,223,217,115,96,193,197,202,204,207,226,216,214,211,208,217,215,201,188,180,155,99,98,117,116,105,156,233,199,178,139,99,98,194,199,203,205,211,234,221,202,198,203,205,205,201,195,187,152,106,79,107,123,118,126,138,107,85,85,95,95,196,200,203,206,213,229,219,206,207,214,217,215,196,183,172,137,108,89,126,143,131,87,73,92,90,91,93,92,197,200,203,207,210,217,220,219,219,209,210,175,154,159,151,130,107,88,108,140,130,94,76,77,77,93,90,88,197,201,205,209,212,215,220,217,211,195,173,139,100,115,152,132,100,97,116,128,118,85,84,80,75,80,86,81,198,203,206,210,213,213,213,222,222,182,144,122,93,120,164,125,90,105,120,125,103,83,79,81,83,77,78,80,198,202,205,210,212,210,206,228,216,146,119,91,99,129,120,95,104,118,117,117,91,86,85,73,74,82,80,81,199,202,205,209,213,208,204,223,196,147,125,99,80,81,86,104,119,127,126,105,76,84,88,78,67,72,75,86,199,203,206,210,213,204,206,223,196,151,131,105,83,91,114,126,132,132,125,97,69,74,86,86,71,66,71,75,199,203,206,209,213,201,214,227,202,157,136,114,99,100,127,133,135,130,116,87,71,73,78,87,78,65,70,68,204,208,211,215,219,207,211,222,200,166,140,125,107,101,118,133,134,130,104,72,74,73,75,78,84,70,65,69,175,180,184,189,195,189,211,216,198,166,141,133,114,108,108,130,136,128,87,65,75,70,71,74,77,78,61,64,130,131,133,135,130,145,210,208,189,158,143,145,116,111,112,124,133,101,80,75,72,69,64,72,72,75,68,58,139,140,140,143,132,134,211,197,174,149,155,149,116,114,113,123,100,67,81,78,77,72,63,65,70,71,70,57
2,156,157,159,160,162,164,164,164,165,164,164,164,164,163,163,163,165,164,160,158,158,157,157,156,156,155,153,152,157,158,160,162,163,164,165,165,166,165,165,165,165,166,172,180,183,177,165,154,150,151,155,157,157,156,155,154,158,159,161,164,165,165,166,166,166,167,166,167,175,184,196,200,191,179,168,140,122,121,134,152,157,157,156,155,160,161,162,164,165,167,167,167,167,168,168,181,201,202,203,195,172,150,135,112,94,91,98,136,158,158,157,157,161,163,164,165,166,168,169,169,169,169,171,199,210,202,192,164,130,107,98,90,86,85,89,129,158,159,158,158,162,163,165,167,168,169,170,170,170,169,180,212,210,188,154,118,90,80,82,87,95,100,115,146,160,160,159,159,163,164,166,168,170,171,171,172,171,170,190,219,200,151,108,87,76,81,95,120,141,146,154,161,163,162,160,160,165,166,167,169,170,171,172,173,173,174,199,215,178,119,82,77,77,91,130,157,165,165,165,164,163,163,162,161,166,167,169,170,171,172,173,174,174,180,209,200,147,93,70,70,76,100,153,167,167,166,166,165,164,163,163,162,167,168,170,171,172,174,174,175,176,195,210,170,112,75,66,65,74,105,158,169,168,168,167,166,165,164,163,163,167,169,170,172,174,175,175,176,187,213,198,144,98,78,75,70,74,114,164,170,170,169,167,167,166,165,164,164,168,169,171,173,175,176,177,181,209,221,183,133,100,89,85,80,81,126,168,171,171,170,168,167,167,166,165,164,169,171,173,175,177,178,178,190,226,216,168,123,99,94,89,86,89,133,171,172,171,171,169,168,169,168,166,164,171,172,174,176,178,178,180,202,232,205,152,113,97,94,88,88,93,137,172,173,173,172,171,170,169,169,166,165,172,173,175,177,179,180,183,216,231,192,141,106,94,90,88,89,95,140,174,175,174,173,173,172,168,161,152,154,173,174,176,179,180,181,192,229,225,181,134,102,90,89,88,88,91,136,175,176,175,174,173,168,159,148,129,133,174,175,178,180,181,183,208,237,215,171,128,99,87,86,85,85,84,120,172,178,177,175,168,157,153,136,123,147,176,177,179,181,183,190,226,235,204,163,123,95,84,82,83,85,83,101,160,179,177,169,153,149,143,121,138,164,177,179,180,182,184,203,237,227,194,155,118,92,82,79,83,89,88,90,131,169,167,149,142,143,125,119,157,170,178,179,181,183,187,217,237,218,185,149,114,90,81,81,85,88,90,88,97,124,137,138,140,132,115,131,167,172,179,180,182,184,192,226,233,210,181,146,113,91,82,85,87,86,89,90,89,101,127,144,138,123,125,154,172,173,180,181,183,185,201,230,227,207,180,145,115,95,86,92,94,94,96,97,97,110,134,142,132,131,156,173,175,174,181,182,184,188,215,233,224,209,183,150,122,101,92,101,106,108,107,105,104,114,132,131,136,159,176,178,176,174,181,183,185,194,228,236,225,209,184,153,127,106,98,108,116,118,111,107,105,111,122,137,164,178,180,179,177,175,182,184,186,203,233,234,222,203,173,143,124,109,103,112,119,119,113,106,107,117,136,166,181,182,181,179,178,176,183,185,189,214,232,227,212,186,153,128,116,109,108,114,117,115,110,111,131,157,172,182,183,182,181,180,178,175,183,187,205,226,224,212,191,159,132,120,114,108,108,111,111,110,114,138,171,183,184,185,183,181,181,180,178,175,184,195,225,226,212,197,173,139,123,119,115,110,108,106,106,115,142,173,186,186,186,185,183,182,181,180,178,177
1,143,145,148,150,151,153,154,154,153,154,155,156,156,156,156,157,157,157,157,157,157,157,158,156,155,155,155,155,147,149,151,154,155,155,156,157,157,158,159,159,159,159,159,159,162,159,147,158,160,160,160,159,159,158,159,158,151,152,155,158,158,159,159,160,161,162,163,163,163,164,142,154,173,163,110,154,164,164,162,162,162,161,160,159,154,156,160,161,162,162,163,164,164,164,165,165,172,176,118,142,177,154,100,155,159,163,166,165,164,163,162,161,158,160,164,165,166,167,167,167,168,168,168,166,181,172,110,148,178,140,105,160,138,133,169,168,167,166,165,165,162,164,168,169,171,171,171,171,172,173,165,141,173,160,110,160,179,129,114,169,138,107,170,171,170,169,168,167,165,167,171,172,173,174,175,175,175,183,163,119,153,150,114,170,185,132,130,179,139,105,171,174,173,173,172,171,168,171,173,174,175,178,179,179,179,189,155,113,146,147,122,171,176,128,141,183,133,108,174,177,176,175,174,174,171,173,175,177,179,181,181,180,181,189,145,116,140,133,115,161,162,120,153,187,132,115,180,180,179,178,177,176,174,176,178,180,182,183,184,182,184,194,146,122,136,132,102,166,160,118,168,184,131,124,186,184,182,182,181,180,176,179,180,183,184,185,186,186,188,195,139,116,137,143,104,175,164,124,179,174,126,134,188,186,187,186,184,183,179,181,182,185,186,188,187,187,191,200,152,110,126,132,98,166,147,128,188,178,123,149,191,188,188,187,187,186,181,183,186,187,189,190,190,189,193,200,149,104,122,124,103,152,133,136,188,173,120,163,194,192,191,189,188,188,182,185,188,190,192,192,193,191,198,202,160,130,145,168,164,175,169,137,152,163,116,174,195,194,193,192,191,190,184,186,189,191,194,194,195,194,205,203,165,135,117,146,177,181,184,156,116,130,113,186,197,196,195,194,193,193,187,188,191,193,194,196,196,196,211,192,153,122,100,100,126,145,192,189,133,88,111,195,199,198,198,196,195,194,187,190,193,195,196,197,198,199,216,192,152,116,104,108,120,146,197,208,168,94,123,201,200,199,199,198,197,196,190,193,195,197,198,199,200,203,218,191,147,119,117,122,150,181,181,201,176,115,133,204,202,201,200,200,200,199,192,195,197,198,199,201,201,206,217,187,149,120,127,131,177,202,188,172,151,117,112,198,203,203,202,201,201,201,194,196,198,198,199,200,203,210,215,189,154,132,134,148,200,208,184,159,125,100,114,202,205,204,204,203,203,202,196,197,199,200,201,203,205,210,214,189,156,141,132,164,212,211,175,146,112,86,128,207,208,206,206,205,205,204,198,199,200,202,203,204,205,208,211,188,161,149,135,162,212,204,164,134,102,86,160,211,209,208,207,207,206,205,198,199,201,203,204,205,206,207,206,189,168,158,139,158,208,186,151,120,93,108,199,211,209,208,208,207,207,207,197,200,202,204,204,205,207,207,205,191,171,160,137,162,199,173,144,108,86,146,212,212,211,209,209,209,210,209,199,201,204,206,206,207,209,208,211,194,174,157,130,163,181,157,133,98,91,184,215,213,212,210,210,211,211,209,199,201,204,207,208,208,208,207,214,199,180,153,133,159,157,139,119,89,119,208,215,214,214,213,213,212,212,211,199,201,203,206,207,208,204,210,214,210,189,156,141,157,145,132,109,93,169,215,216,215,215,215,215,214,213,212,198,201,203,204,205,205,202,210,207,201,185,156,148,147,137,119,94,125,208,216,216,215,216,216,215,214,214,213
15,116,121,123,124,129,130,134,148,157,166,173,177,184,186,189,191,195,198,201,206,208,209,212,214,216,217,218,219,115,119,118,117,123,127,135,147,157,166,173,179,185,186,189,191,196,200,202,206,208,211,214,217,219,217,218,219,119,111,148,184,140,126,131,146,159,168,173,180,186,187,188,191,196,200,202,206,209,210,214,217,218,216,218,220,121,102,189,229,202,177,159,149,156,161,175,184,187,189,188,191,196,200,204,207,212,213,214,215,217,217,221,222,119,111,142,202,190,187,195,184,180,165,163,165,173,179,186,193,200,205,207,208,210,214,214,216,219,219,222,224,117,121,115,140,152,147,169,180,186,191,182,171,169,167,171,172,173,182,192,204,214,212,215,216,220,222,223,225,117,118,122,123,127,130,145,150,149,180,184,181,175,175,185,188,173,153,145,134,196,220,216,220,222,222,223,225,117,119,123,126,126,129,139,146,139,155,166,163,158,155,181,199,200,172,160,126,117,207,222,219,222,224,225,228,117,118,121,124,126,127,140,153,159,165,165,164,157,152,191,194,199,180,181,159,127,134,217,221,222,225,227,229,116,118,119,122,126,128,141,151,158,170,179,182,174,193,211,195,190,203,189,180,162,124,139,222,223,226,228,230,115,117,119,122,125,130,139,150,167,169,174,183,193,222,214,167,189,207,184,202,180,148,107,149,230,223,228,229,115,117,118,122,126,126,144,196,178,180,175,164,200,198,167,145,174,200,176,217,191,151,128,100,177,233,227,230,116,117,119,122,125,123,156,206,195,210,213,183,150,159,132,95,164,179,176,216,192,156,133,115,107,197,234,231,116,117,121,123,125,126,141,166,176,214,224,186,159,173,165,139,158,166,185,192,183,158,137,118,110,111,207,236,115,116,118,120,122,128,138,152,171,190,188,166,178,184,173,179,180,172,148,140,159,148,133,115,113,99,127,224,115,115,115,117,120,126,139,151,160,168,160,149,175,185,180,186,195,179,141,114,128,130,125,123,114,113,100,143,113,116,115,117,120,124,138,150,158,165,229,163,132,144,179,186,189,173,134,116,123,121,122,126,121,115,113,100,111,111,113,118,118,123,136,150,158,163,241,192,125,67,108,164,180,166,135,122,125,122,124,128,124,119,115,108,111,111,112,116,116,123,138,148,159,162,223,183,113,91,82,101,160,135,120,120,126,128,126,128,124,122,118,110,110,111,113,114,115,123,137,148,161,162,223,182,103,138,101,98,138,151,130,127,133,136,132,127,123,121,118,116,108,109,111,113,114,121,134,146,158,160,214,178,98,185,111,158,121,163,158,148,140,132,129,125,120,118,116,118,108,109,109,113,113,119,132,144,159,152,231,176,87,196,165,126,185,152,139,126,128,124,123,123,122,123,121,118,106,106,104,107,106,114,129,142,155,154,222,157,92,185,207,92,195,181,118,146,108,105,110,108,109,114,118,122,158,153,152,154,154,157,159,162,166,166,179,117,134,194,170,122,191,197,188,203,141,94,95,94,95,98,107,116,131,130,132,134,138,137,134,131,127,127,129,116,132,138,134,132,140,140,142,141,140,112,100,109,117,122,125,127,129,131,129,130,129,128,130,128,122,125,128,133,131,129,130,132,129,129,129,129,130,131,130,139,133,141,138,144,134,132,133,135,132,133,134,134,132,133,136,134,133,136,139,136,134,135,136,136,138,139,133,167,151,151,144,155,136,133,132,133,133,134,136,136,137,137,136,133,133,135,136,136,136,136,135,134,135,139,128,168,187,167,164,166
20,186,190,195,200,205,207,210,214,215,217,218,219,220,221,224,224,226,221,226,222,223,221,222,221,221,220,219,217,188,193,198,203,206,209,212,215,217,219,221,222,223,225,225,224,255,190,203,223,225,225,224,223,223,223,221,221,191,195,200,206,210,212,214,219,220,222,223,225,227,229,228,227,255,179,201,208,192,235,226,227,228,225,223,223,193,198,201,207,213,213,217,220,221,223,225,228,229,230,229,231,255,185,227,226,161,237,230,231,230,229,228,226,194,199,203,208,214,215,219,223,224,226,228,231,231,233,230,235,255,206,225,248,158,232,234,233,232,231,230,228,196,202,206,210,215,218,221,225,228,228,231,232,234,237,231,242,255,205,230,255,169,225,238,237,236,235,233,232,199,204,208,213,217,220,224,228,230,232,233,233,234,234,232,254,255,198,246,255,169,221,243,239,238,237,235,233,202,207,211,215,220,223,226,229,232,232,237,238,238,254,237,254,255,196,254,255,161,221,245,240,240,239,237,235,203,209,213,218,222,224,229,231,234,236,238,231,255,255,255,191,220,196,254,254,164,229,246,243,242,241,239,238,205,211,216,221,224,227,230,232,236,238,244,255,255,243,254,197,141,152,227,230,167,235,249,246,243,243,241,239,207,213,217,221,226,230,234,235,239,234,255,255,255,207,227,234,222,181,166,193,162,240,250,247,245,244,244,243,210,214,218,223,228,232,236,237,240,239,255,230,221,255,180,237,255,222,142,148,153,246,248,249,247,246,246,245,211,216,221,226,229,234,237,238,242,239,255,216,138,157,119,156,255,239,169,132,142,245,251,251,250,248,248,248,212,218,222,227,231,236,239,242,244,245,255,224,205,162,136,125,217,255,211,138,135,247,255,253,252,250,249,249,214,219,224,229,234,237,240,243,246,248,255,255,209,167,157,161,187,255,249,164,124,243,255,255,254,252,252,252,216,220,225,230,234,238,242,246,246,251,255,250,187,164,170,186,218,255,255,193,128,233,255,255,255,253,253,253,219,222,227,233,237,239,244,247,246,252,255,255,204,187,191,201,255,255,255,211,138,231,255,255,255,255,255,255,220,225,228,234,239,242,246,248,250,254,255,255,223,197,210,232,255,255,254,208,142,230,255,255,255,255,255,255,221,226,230,236,240,244,246,251,253,255,255,255,241,203,225,255,255,255,249,200,145,230,255,255,255,255,255,255,221,226,230,235,238,242,246,250,253,252,255,255,246,223,227,255,255,255,243,194,139,226,255,255,255,255,255,255,221,227,231,236,238,243,247,251,253,251,255,255,252,249,233,255,255,255,233,187,131,223,255,255,255,255,255,255,222,228,233,236,240,246,249,252,254,252,255,255,255,255,249,255,255,248,223,184,122,224,255,255,255,255,255,255,222,228,232,236,242,246,249,252,255,255,255,255,255,255,255,239,255,223,214,171,119,233,255,255,255,255,255,255,223,229,234,239,243,246,249,253,255,255,255,255,255,255,232,213,231,208,213,166,126,255,255,255,255,255,255,255,225,231,235,240,244,246,249,253,255,255,255,255,255,242,199,187,217,207,205,139,160,255,255,255,255,255,254,177,220,227,233,240,245,250,254,255,242,135,108,255,255,219,187,178,229,201,185,112,213,255,255,255,255,252,157,124,170,172,175,178,181,186,187,196,183,100,35,228,255,230,186,195,248,175,147,88,78,201,236,233,228,150,112,114,131,128,133,136,137,135,134,136,154,161,112,147,243,216,191,215,237,143,118,60,44,106,137,145,156,128,99,87
13,161,165,167,168,170,172,174,175,175,176,177,178,178,178,178,178,177,176,176,175,174,172,172,171,171,168,167,166,163,165,167,169,171,173,174,176,176,178,179,179,180,180,180,180,179,179,178,177,175,175,174,173,172,170,169,167,164,166,169,170,172,174,176,177,179,180,181,181,181,181,181,181,181,181,181,180,178,177,176,175,174,172,171,170,165,168,170,171,172,175,178,179,181,182,182,183,184,183,183,182,182,184,183,181,180,180,178,177,176,175,173,172,166,169,171,172,174,176,179,180,181,183,183,185,184,177,177,184,183,177,178,182,181,181,180,179,178,176,174,173,167,170,171,172,175,178,180,181,183,184,184,185,175,145,125,160,171,140,121,154,184,182,181,180,179,178,176,174,168,170,172,173,177,179,181,182,183,185,185,189,183,152,123,109,138,132,98,98,179,184,183,182,181,179,177,175,169,171,173,174,178,180,182,184,185,187,188,191,196,163,135,92,113,136,107,76,161,187,186,184,183,181,178,177,170,173,174,175,178,181,183,185,186,188,189,190,194,166,130,89,93,126,104,69,149,188,186,185,185,183,181,180,170,173,175,177,179,182,184,187,188,189,189,192,186,164,127,92,77,104,90,65,147,189,186,185,184,183,181,180,171,175,176,178,180,183,186,188,188,181,159,165,164,161,131,102,77,104,95,68,159,191,188,187,185,184,182,181,171,174,176,179,181,185,187,189,190,167,123,106,110,147,161,125,87,108,106,72,155,193,189,187,187,185,183,182,172,175,177,180,182,185,188,189,191,161,125,108,89,127,174,136,88,96,100,65,109,189,190,188,188,187,185,184,172,176,178,180,183,185,186,172,144,149,140,125,93,72,126,105,78,86,85,75,79,158,193,189,188,187,186,184,172,176,179,181,183,184,190,158,113,111,148,134,109,61,43,48,62,88,93,95,88,107,189,192,189,188,187,186,173,177,179,181,183,194,190,147,119,104,130,137,115,84,39,52,73,85,116,116,103,80,164,193,190,189,188,186,174,177,180,182,186,195,164,148,133,117,103,131,119,96,52,59,111,125,130,119,103,76,148,194,191,189,188,187,174,178,181,183,187,198,161,137,130,115,98,108,108,81,56,66,135,154,148,114,94,76,159,195,191,189,187,187,175,178,181,184,188,192,160,123,111,102,82,62,83,74,66,86,151,156,146,117,85,79,178,195,193,190,189,188,175,179,182,183,187,188,177,151,115,86,64,50,75,91,87,128,169,153,138,111,75,97,192,195,194,192,190,188,176,180,182,183,185,188,184,164,136,112,96,93,96,109,122,170,170,144,124,104,70,123,199,197,195,192,191,189,177,181,182,184,187,186,181,170,149,130,110,110,124,158,171,175,159,136,115,96,68,150,199,197,196,193,191,189,178,181,182,185,187,188,177,161,146,127,111,113,124,170,173,163,146,126,107,84,71,175,199,197,195,194,192,189,178,181,183,185,188,189,172,153,145,129,116,117,121,160,167,157,136,114,96,74,86,192,199,197,195,194,192,191,179,182,183,185,188,191,181,158,146,133,125,120,121,153,162,151,128,102,84,61,126,201,199,197,196,194,192,191,178,181,182,184,187,191,192,166,148,140,128,116,113,137,149,138,113,87,69,72,178,201,199,197,196,193,192,192,177,180,182,184,187,190,194,185,157,140,124,114,109,123,136,126,102,81,60,119,200,200,199,197,195,193,193,193,175,179,181,183,187,190,192,192,173,144,125,113,111,117,128,122,100,80,64,160,201,199,197,195,194,193,192,191
20,124,127,129,132,135,137,140,141,144,148,146,147,148,150,152,153,138,155,160,159,158,160,161,160,161,161,162,162,125,129,131,134,136,139,142,143,145,148,149,150,152,150,157,166,104,128,139,151,162,161,161,161,162,162,162,162,126,130,135,137,138,141,143,145,146,148,151,153,154,151,162,172,110,144,118,111,169,161,164,163,163,162,162,162,127,130,134,137,138,142,144,146,147,150,152,152,154,154,165,165,116,166,136,98,167,163,164,165,165,164,164,165,129,131,135,138,140,142,146,147,150,152,152,153,157,154,173,178,128,165,139,98,164,164,165,165,166,166,165,166,129,133,137,139,141,143,146,148,150,152,154,155,157,153,184,176,134,178,146,101,164,167,166,167,166,166,166,167,130,134,138,140,142,145,147,151,152,153,154,156,161,156,183,158,138,181,144,98,163,170,168,168,168,168,168,169,131,135,138,141,143,145,148,151,155,154,161,132,129,165,180,140,136,178,136,95,165,172,170,170,171,170,170,170,131,135,139,141,144,147,150,152,154,160,163,138,85,130,183,135,142,180,128,96,168,172,171,170,171,171,170,171,132,137,140,141,145,149,149,150,151,150,165,140,119,99,121,119,133,166,125,103,171,170,172,172,172,171,171,172,133,137,140,142,146,150,146,174,169,110,141,163,158,139,93,79,101,144,118,105,175,171,173,173,173,173,173,172,133,137,141,143,146,149,154,173,167,132,126,154,169,152,113,66,87,121,104,106,178,171,173,174,174,173,174,173,135,139,143,144,148,149,158,163,140,154,102,66,136,173,142,92,84,101,88,106,181,173,175,175,175,175,176,175,135,139,143,144,148,150,158,169,110,106,91,57,92,182,168,121,74,89,82,102,181,174,176,176,177,175,175,175,135,139,143,146,148,150,158,168,144,128,104,84,94,161,190,147,91,78,77,101,182,175,177,177,178,177,176,176,136,140,144,145,149,150,163,188,154,124,104,98,113,143,201,159,117,79,67,95,183,175,178,178,178,178,177,177,137,141,144,145,151,150,170,182,137,116,110,117,125,171,194,160,129,84,60,95,184,175,178,178,178,178,177,177,137,141,145,147,151,149,173,182,147,126,127,120,146,210,183,148,130,86,56,101,185,176,178,179,179,179,178,178,137,143,147,148,151,149,175,187,152,133,131,131,173,213,183,147,125,94,57,114,186,177,180,180,180,180,178,179,138,144,147,149,152,149,173,192,162,136,131,151,185,196,176,151,124,94,56,126,187,177,181,180,180,179,178,178,138,142,145,148,153,149,173,195,161,150,140,154,194,184,168,149,117,95,58,147,186,177,180,180,180,179,179,179,139,142,146,149,152,152,171,195,166,165,152,152,196,182,164,150,114,88,62,161,184,179,180,180,180,180,179,179,139,144,148,150,152,154,162,192,178,175,170,151,183,172,159,148,117,82,63,160,185,180,180,180,180,180,180,179,139,143,147,148,152,158,157,180,184,179,172,159,165,170,152,147,114,84,66,165,184,180,181,180,180,180,180,180,140,144,147,149,152,158,156,172,187,175,160,154,160,163,146,156,122,81,79,176,181,181,181,182,181,181,181,181,139,144,147,149,152,158,156,171,183,161,152,141,153,162,144,157,122,77,100,186,179,182,182,182,181,181,181,181,139,144,145,149,152,158,158,174,179,156,152,142,152,166,139,153,114,69,131,189,178,182,183,183,182,181,181,181,139,144,146,150,151,158,156,176,190,172,161,150,155,169,130,144,105,71,162,185,180,183,183,182,182,182,182,182
19,72,79,86,91,96,97,100,102,106,109,112,115,117,119,122,123,124,125,127,129,131,131,132,131,132,133,133,133,73,81,87,93,95,98,101,104,108,111,115,118,120,122,123,125,127,128,130,130,133,134,132,134,132,136,135,134,74,83,89,94,97,100,102,106,110,114,116,118,124,125,122,127,128,130,131,132,133,132,141,127,133,136,136,136,76,84,91,96,99,102,103,108,112,112,129,124,98,117,130,127,130,132,132,134,129,150,164,70,119,140,135,136,78,86,93,97,100,102,106,110,115,112,163,133,86,64,123,130,129,132,142,144,155,156,95,59,132,140,138,138,78,87,95,100,102,103,107,113,117,111,152,149,101,87,131,146,134,139,153,151,132,83,58,121,143,140,139,139,80,87,95,102,103,102,115,104,109,117,135,148,139,146,139,136,128,113,126,106,65,78,128,145,139,141,141,141,82,89,97,102,97,141,150,112,104,109,124,130,123,109,102,110,97,76,73,77,113,147,144,141,143,143,143,143,82,91,99,100,108,164,124,114,118,125,134,132,121,108,104,87,86,59,128,144,148,142,144,144,143,144,145,144,82,91,101,96,123,143,101,102,112,128,132,128,127,121,97,58,48,79,156,144,144,145,145,144,145,146,146,146,84,91,101,97,147,146,117,116,123,118,107,104,103,83,70,52,34,105,152,144,146,147,146,146,148,148,147,147,85,93,99,106,183,156,136,132,133,125,122,117,97,47,47,50,39,128,151,147,148,147,147,147,149,149,148,148,88,95,99,113,173,149,128,113,105,116,117,110,82,48,44,51,50,139,148,148,151,150,150,150,149,149,150,150,88,96,101,110,154,143,115,93,71,65,80,80,79,50,49,46,78,153,146,149,151,151,152,152,151,151,151,151,88,97,102,108,146,145,115,65,53,24,24,75,88,55,53,48,76,156,148,151,151,151,153,153,154,154,152,151,90,100,106,105,145,148,116,76,42,13,63,87,80,47,46,45,53,146,152,152,152,153,154,154,155,155,154,154,90,99,108,101,146,146,116,86,63,33,32,36,30,29,39,49,51,140,155,152,154,154,155,155,154,155,155,155,91,100,107,100,153,149,118,92,65,53,43,26,28,38,44,49,54,143,155,153,153,156,155,154,155,155,154,154,93,101,108,98,151,148,117,89,68,60,59,43,35,39,47,46,65,152,152,154,157,158,157,156,157,158,157,156,94,100,109,96,141,139,112,87,66,59,56,45,36,43,51,46,91,161,152,156,158,158,157,157,158,158,158,158,95,101,109,101,139,133,108,81,65,58,56,46,42,48,54,46,128,160,154,157,157,158,159,159,159,159,160,159,96,104,108,111,144,128,104,78,62,57,58,52,50,53,44,79,156,153,156,158,159,160,160,160,160,160,160,160,96,105,105,117,149,126,98,74,61,59,61,55,51,47,89,149,155,155,157,158,158,159,160,160,160,160,160,160,97,107,105,123,141,122,101,80,65,61,60,57,44,82,156,152,154,156,158,159,159,160,161,160,161,161,161,161,97,106,106,131,135,114,97,81,64,53,51,51,45,126,154,151,157,157,159,161,161,161,161,161,163,163,162,162,97,106,110,149,129,110,86,70,58,47,45,44,56,140,152,155,157,158,159,161,162,162,164,164,164,164,164,164,98,103,118,153,132,116,94,80,80,53,45,40,69,150,151,155,156,158,159,160,161,162,164,163,163,163,164,164,99,107,115,139,134,118,100,93,86,53,45,38,71,152,150,152,155,157,159,160,161,161,162,162,163,164,164,164
12,146,150,155,158,161,165,166,170,173,176,178,182,187,189,187,186,190,192,193,194,193,194,192,193,193,196,196,196,148,152,157,160,163,167,169,172,175,178,182,185,188,192,194,195,191,192,186,184,198,196,196,196,196,198,197,197,150,156,159,162,165,168,172,174,177,180,186,187,188,170,141,171,201,200,168,116,135,209,201,203,205,198,201,197,152,157,160,164,167,171,173,176,180,183,184,193,214,176,142,107,205,213,176,139,71,190,173,162,178,207,201,203,154,158,162,166,167,172,174,178,182,185,183,207,237,201,178,102,164,226,167,155,96,87,142,136,92,169,212,201,156,159,164,167,170,173,177,182,184,187,185,213,240,215,176,113,159,234,169,156,89,58,163,139,91,72,213,203,157,161,166,169,172,176,179,183,184,188,189,213,240,234,188,136,157,241,180,152,68,81,181,133,77,41,188,212,159,164,168,171,174,178,181,185,190,190,190,196,183,227,204,147,139,230,170,127,46,98,184,127,72,37,172,220,161,166,169,171,175,179,183,185,189,190,208,169,101,140,199,122,117,197,137,113,52,85,168,125,78,35,167,223,161,165,170,174,177,181,185,188,187,217,215,142,109,76,153,106,95,176,129,115,56,80,155,123,83,30,167,226,164,167,171,176,177,182,186,184,211,215,195,157,131,75,99,107,67,161,128,91,53,80,160,129,83,32,188,218,164,169,173,175,178,183,186,189,212,165,191,179,132,87,51,101,89,136,160,108,63,115,213,162,91,48,216,212,165,170,175,177,181,184,187,198,215,160,167,171,124,94,35,100,114,130,189,130,68,139,221,172,66,38,206,218,166,172,175,178,182,186,186,203,207,172,135,157,133,93,27,51,97,58,127,123,36,106,157,83,59,57,102,225,168,173,175,178,183,188,187,208,207,171,125,162,127,76,47,0,14,0,93,166,145,172,154,115,97,81,64,206,169,174,176,181,185,188,187,212,212,172,132,142,119,70,57,7,16,63,186,208,202,185,165,126,95,71,78,214,171,175,179,182,186,188,189,213,210,171,129,114,118,83,72,18,46,148,209,206,199,173,150,114,86,58,96,229,172,175,180,184,187,191,192,215,210,182,155,116,94,105,74,45,113,205,211,221,194,161,137,108,81,53,116,235,172,176,179,184,188,191,192,215,208,190,169,151,117,96,99,127,171,224,220,227,182,148,126,96,74,54,174,230,173,177,180,186,190,192,192,212,214,198,175,165,156,130,134,155,170,225,224,213,164,133,116,91,61,91,225,221,173,176,180,185,187,193,194,205,212,203,183,173,171,151,133,143,165,230,219,190,154,124,105,84,50,139,234,218,172,175,180,182,187,193,196,201,203,200,190,179,172,157,138,129,175,230,209,171,145,115,90,77,50,181,231,220,173,175,179,183,189,194,196,198,193,197,192,181,175,158,136,121,172,209,192,148,126,102,80,65,70,217,224,222,173,175,180,185,189,193,195,197,198,199,196,183,174,157,139,114,164,188,165,129,109,86,75,50,132,232,220,223,173,176,181,186,190,193,195,199,200,204,191,176,168,147,127,107,156,163,132,115,92,73,66,66,205,225,222,223,173,177,181,184,190,194,196,199,196,202,177,154,146,124,99,108,146,144,115,105,81,74,57,144,231,221,221,223,173,177,182,184,189,194,196,195,194,207,169,147,135,103,101,111,141,137,113,97,81,64,79,215,224,222,222,223,173,177,182,187,191,193,200,190,203,212,171,160,138,114,119,124,147,130,111,83,70,52,147,228,222,224,225,224
11,162,166,169,172,175,178,180,181,182,183,183,182,182,182,182,183,182,182,181,179,178,177,176,174,171,168,167,166,164,167,172,175,176,180,182,184,184,184,185,185,184,186,186,184,183,183,182,181,180,178,176,175,174,172,170,171,167,171,174,176,179,182,184,186,188,187,187,187,194,161,176,189,184,184,183,182,180,181,179,177,176,173,175,147,170,174,177,180,182,185,187,189,191,191,192,183,218,151,135,198,186,187,186,184,183,184,181,179,177,177,176,78,174,178,179,183,186,189,190,192,194,194,195,186,229,162,118,201,188,191,190,188,187,185,183,181,178,186,137,45,176,182,183,186,190,192,192,195,196,197,197,189,240,150,115,204,192,193,191,190,189,189,185,183,181,189,97,50,179,182,185,191,193,196,197,199,200,204,195,204,255,137,130,208,194,196,195,193,191,189,189,187,188,183,79,57,182,187,191,193,196,198,200,199,202,192,212,198,235,134,148,213,197,199,198,196,195,193,192,192,191,191,108,71,184,190,194,196,199,202,196,228,215,123,190,162,107,160,116,187,208,201,201,199,198,196,196,194,190,200,136,71,188,191,195,198,203,198,226,255,226,174,104,138,93,120,99,154,217,202,203,202,201,198,199,199,195,201,165,68,190,194,198,202,201,219,255,205,211,210,121,107,102,133,110,160,217,205,206,205,204,204,202,200,199,198,197,95,192,197,201,201,210,255,237,156,152,204,119,96,94,135,111,166,220,208,209,208,208,207,203,202,202,199,202,148,194,199,203,199,243,255,193,147,170,185,82,103,93,126,105,179,222,212,212,211,210,209,207,207,204,201,203,175,196,200,206,201,255,247,175,117,144,150,77,106,89,119,95,200,221,215,214,214,212,210,208,207,206,204,207,165,198,202,208,202,255,253,197,139,88,91,107,84,97,116,108,223,217,218,215,214,216,214,212,213,209,206,207,193,200,203,208,208,255,251,187,125,81,63,121,74,130,122,79,205,228,219,222,222,213,204,197,195,209,215,207,206,201,205,208,216,255,247,185,133,94,71,86,68,129,112,58,107,214,217,200,172,157,148,144,129,118,178,215,205,204,210,208,225,255,242,189,147,105,85,88,89,110,112,109,107,117,135,139,156,165,144,116,112,90,138,221,207,205,211,210,225,255,237,189,149,113,90,93,139,168,169,155,142,121,129,150,144,120,104,137,190,203,207,213,210,207,213,213,228,255,241,199,157,121,95,107,164,165,152,145,141,123,111,104,116,161,192,224,227,222,217,214,212,209,215,214,235,255,245,210,161,134,108,124,158,157,146,130,124,96,89,152,221,232,230,223,221,220,218,215,213,210,218,210,251,255,247,207,159,137,115,124,139,144,134,113,91,120,201,238,230,225,225,225,223,222,220,217,215,213,214,218,255,255,230,187,145,124,115,125,124,131,123,87,153,235,237,230,231,229,228,226,224,224,223,219,217,215,214,255,255,248,215,172,138,119,119,124,113,106,95,167,246,234,231,232,233,231,229,228,226,225,223,221,218,209,229,255,255,232,206,167,143,126,118,116,93,130,211,246,236,235,234,233,232,231,230,229,228,225,223,222,220,208,245,255,254,202,168,157,141,122,111,86,122,238,246,238,238,237,236,235,235,233,231,230,229,228,226,224,221,213,255,255,244,177,142,135,127,109,94,100,221,245,238,241,240,238,237,235,235,234,232,231,229,229,227,224,222,230,255,255,229,151,134,127,117,99,83,185,253,243,245,243,242,240,239,237,236,235,234,233,231,229,228,226,224
20,157,160,164,168,172,175,177,180,181,183,184,185,186,187,188,190,192,184,185,187,188,187,187,187,186,186,185,184,159,162,166,170,174,176,178,181,183,185,186,187,188,189,190,194,204,173,174,183,185,189,189,188,188,187,186,186,161,164,168,173,176,178,181,183,185,187,188,189,191,192,192,198,211,169,171,176,171,190,192,191,191,190,189,188,163,166,169,174,178,180,182,185,187,188,190,192,193,194,194,201,214,175,183,182,158,188,195,194,194,193,192,190,164,168,171,175,179,181,184,187,189,190,192,194,195,196,195,204,220,185,190,193,157,186,196,196,196,195,194,193,166,169,173,177,181,183,186,189,191,193,194,196,197,198,197,209,223,188,196,204,162,184,199,199,199,198,196,195,168,171,175,179,182,185,189,191,193,195,196,197,198,200,200,213,220,186,203,205,162,182,201,201,201,200,198,197,170,174,177,181,185,188,190,193,195,197,199,200,205,214,207,208,213,184,206,203,159,183,202,203,202,201,200,199,172,176,179,183,187,189,192,194,197,199,201,204,220,236,216,181,177,171,201,198,159,186,205,205,204,203,202,201,173,177,182,185,189,191,194,196,199,201,210,223,222,212,205,172,146,147,179,182,158,190,207,207,205,204,204,202,175,179,183,187,190,194,196,198,200,204,223,233,220,194,189,189,179,157,149,154,151,192,208,208,207,206,206,205,177,180,184,188,192,195,198,200,202,207,223,204,188,187,164,186,207,179,137,128,141,194,209,210,209,208,207,207,178,182,186,190,193,197,200,201,204,208,221,186,147,139,121,146,199,196,149,120,133,193,211,212,211,209,209,209,180,183,187,191,195,198,201,203,206,211,223,196,164,137,118,126,181,216,176,127,129,192,213,213,213,211,211,210,181,185,188,193,197,200,202,205,207,215,234,214,174,143,132,139,175,228,202,144,128,190,215,215,214,213,212,212,183,186,190,194,198,201,204,207,208,217,236,211,168,145,145,158,192,238,219,163,132,186,215,216,216,214,214,213,185,187,191,196,199,202,205,208,209,218,237,215,177,159,161,178,219,245,221,173,138,186,216,217,217,216,215,215,186,189,192,197,201,204,207,209,211,220,241,225,191,171,177,201,241,246,215,172,141,187,219,220,219,218,217,217,187,190,194,198,202,205,207,211,213,221,243,234,203,181,190,219,249,242,209,168,141,187,221,221,220,219,219,218,187,190,194,198,201,205,208,211,213,219,242,239,211,193,198,230,247,232,202,162,137,185,221,222,220,219,219,219,187,191,195,199,201,205,208,211,213,218,240,242,219,208,206,233,243,222,194,156,131,182,222,222,221,219,219,218,188,192,196,199,203,207,210,212,214,217,235,244,228,221,214,224,231,209,185,151,126,182,222,223,222,221,219,219,188,192,196,200,204,207,210,213,215,218,229,244,235,226,213,206,211,193,176,143,125,187,223,224,223,222,222,221,189,193,197,201,205,208,210,214,216,219,226,244,238,220,197,185,191,180,171,139,132,201,225,225,225,224,221,213,189,193,198,202,205,208,211,214,214,207,208,237,231,203,175,166,180,175,162,129,149,216,227,227,227,222,198,164,179,183,188,193,197,201,204,207,188,135,128,209,220,190,163,161,182,168,145,114,155,217,225,226,222,194,145,116,145,147,149,153,155,158,161,164,149,99,81,171,214,191,164,170,188,152,119,83,93,158,187,191,181,139,104,94,117,116,119,121,123,123,123,126,131,118,98,140,193,184,167,178,184,134,99,61,55,100,129,138,137,112,88,78
4,181,181,181,181,180,180,179,178,178,177,177,175,175,174,175,174,169,169,168,167,167,167,166,166,163,160,160,158,182,182,182,183,182,180,181,181,181,182,180,180,177,173,162,163,176,171,169,168,168,167,166,167,164,160,160,159,184,184,183,183,183,183,182,182,179,161,149,162,176,170,134,101,129,181,172,170,175,169,167,166,165,163,161,160,186,186,185,183,183,185,183,185,183,170,160,136,126,133,153,131,91,135,143,114,124,168,169,167,166,165,163,161,186,186,185,185,185,186,184,178,180,173,171,167,138,97,97,138,125,86,83,102,65,123,179,166,167,166,165,163,188,186,186,187,187,186,175,164,163,148,106,107,147,96,56,111,121,88,56,94,82,80,175,168,167,166,164,162,188,188,188,188,188,187,184,185,168,150,108,65,120,99,55,86,104,69,63,107,96,65,159,172,166,166,165,163,189,190,188,190,188,190,164,140,126,159,119,73,99,123,94,84,94,54,73,111,92,65,159,173,167,166,165,164,190,190,189,190,188,192,175,121,67,121,155,107,106,133,147,127,101,96,93,104,115,80,159,173,169,167,166,165,190,191,190,191,190,192,173,125,57,40,151,127,93,110,136,139,101,108,107,102,121,72,120,182,168,168,167,166,191,192,192,192,190,190,150,105,88,79,73,91,73,67,72,112,108,101,100,99,94,76,80,178,170,169,168,168,194,193,193,193,190,187,164,151,126,95,62,55,73,66,64,67,96,102,91,84,96,97,61,156,176,170,168,167,193,194,193,193,193,189,170,154,120,86,62,64,69,73,90,75,60,52,87,115,125,109,62,119,183,169,168,166,194,194,195,194,194,189,178,144,106,77,61,62,74,94,95,93,87,92,113,141,131,114,85,83,180,169,170,167,194,195,196,195,192,192,169,136,107,76,62,72,84,97,108,107,128,154,143,119,154,141,107,65,162,175,171,169,195,196,196,196,193,192,178,155,123,89,70,75,83,110,124,127,140,156,165,151,141,141,109,55,144,180,170,169,196,196,196,197,196,190,178,157,129,94,68,71,93,115,129,144,149,163,161,151,135,111,93,51,151,179,170,170,196,196,196,197,197,187,176,165,141,109,80,75,82,114,137,151,163,169,158,137,124,101,64,71,179,174,172,170,196,196,196,197,197,183,170,171,150,122,97,79,75,119,150,161,173,169,152,129,113,90,44,127,184,172,172,171,196,196,196,197,197,182,164,168,151,126,105,87,80,118,160,165,170,160,141,119,102,73,60,178,177,175,173,172,196,197,198,198,198,182,162,159,150,133,110,93,90,122,166,160,156,148,128,108,94,52,116,190,175,176,173,171,197,197,199,198,200,183,159,158,158,141,114,106,97,127,160,154,148,134,115,99,78,55,169,183,178,175,174,172,197,198,199,198,199,190,163,160,160,145,121,114,97,130,152,148,143,123,100,88,48,103,193,179,180,176,175,174,198,200,199,199,200,199,172,165,167,150,130,114,95,122,148,140,131,109,88,67,53,174,185,181,180,176,175,174,199,200,199,199,199,199,178,175,168,148,135,118,98,109,133,125,111,89,76,39,135,194,181,181,179,178,175,174,200,200,200,200,201,197,186,179,164,150,137,122,105,103,116,109,91,78,43,92,193,183,183,180,179,179,176,175,200,200,200,200,201,197,186,178,160,147,134,121,113,103,103,101,84,60,50,177,188,183,182,181,179,178,177,175,200,200,200,200,202,192,184,173,162,153,147,137,129,111,98,95,77,43,111,197,185,186,182,181,179,178,176,175
16,168,169,170,172,177,179,182,184,187,189,190,192,194,195,195,196,197,198,201,199,200,201,200,200,200,199,199,200,168,170,171,172,177,180,183,185,188,189,190,192,194,196,198,200,201,201,203,205,204,203,200,200,202,201,201,200,168,170,170,172,177,181,184,186,188,189,191,195,196,194,187,181,175,172,172,176,184,197,207,204,201,202,201,201,170,171,171,174,177,182,184,187,189,188,186,182,173,165,155,145,136,133,133,125,117,122,155,188,207,201,202,203,169,170,170,174,178,180,184,182,190,167,165,157,153,154,150,142,135,125,123,125,114,99,97,104,152,206,203,202,169,170,171,176,178,184,194,195,204,174,166,153,147,152,146,139,134,129,118,121,122,106,103,101,92,155,211,202,170,171,172,177,176,189,208,205,204,182,168,149,140,142,141,140,132,132,122,118,117,108,106,104,106,96,184,209,169,170,173,176,177,184,201,208,205,179,163,139,132,133,132,137,132,128,128,120,116,111,107,103,108,96,124,215,170,171,172,176,176,190,200,212,204,177,149,130,119,123,125,130,131,127,132,128,114,112,114,106,100,109,92,183,169,171,173,176,176,190,203,213,197,169,130,117,101,112,127,134,139,134,137,135,117,111,118,103,102,111,96,124,170,171,174,177,180,184,205,213,189,151,119,115,88,75,128,137,152,149,150,140,120,114,120,103,104,109,109,89,171,171,173,177,180,180,205,209,177,140,112,104,74,49,105,133,150,170,169,151,121,116,122,105,104,109,113,101,171,171,172,176,181,181,201,200,163,134,106,95,88,71,94,116,154,179,170,151,120,118,114,105,105,107,111,111,170,171,173,177,180,182,194,184,149,128,99,102,102,99,104,94,170,175,155,144,126,118,107,106,107,108,110,112,168,169,171,175,177,182,189,174,136,109,91,108,105,100,93,109,181,161,150,141,124,108,107,107,107,110,111,113,167,169,171,175,178,183,197,168,120,109,83,98,102,118,151,176,173,149,147,132,109,100,107,109,108,110,110,110,169,170,173,176,178,185,197,163,115,134,123,138,174,200,200,181,153,145,138,116,98,102,106,110,111,111,110,109,169,170,172,176,179,185,203,160,106,175,200,200,202,201,190,172,139,130,123,118,102,103,107,109,113,113,112,111,168,170,173,177,178,186,199,149,110,190,197,197,199,200,192,159,133,110,132,135,108,107,108,110,113,112,114,113,167,169,172,176,177,186,194,127,125,200,196,197,198,201,194,158,121,115,173,150,123,114,109,111,112,112,114,114,167,170,173,175,177,187,186,111,142,200,194,196,199,200,197,166,101,146,202,161,138,121,113,110,112,114,115,116,165,167,170,176,174,196,179,102,166,198,195,196,199,202,195,175,107,165,214,170,151,132,120,113,113,113,113,115,165,168,171,173,168,208,153,109,181,187,189,191,191,193,187,173,127,149,208,172,161,142,129,119,115,115,115,117,130,130,132,134,129,156,124,113,133,133,134,137,138,138,138,138,128,125,137,137,166,151,138,129,124,119,116,118,123,122,122,124,122,122,122,121,122,124,122,122,124,122,122,123,122,120,118,117,155,160,147,136,129,124,120,118,126,127,127,127,129,128,127,126,128,130,131,129,128,129,129,128,129,127,129,121,142,170,153,142,135,130,125,123,126,126,126,127,128,127,125,127,128,128,128,128,127,128,128,126,131,135,134,129,132,170,162,148,140,136,131,127,127,127,127,127,128,127,126,128,127,127,127,127,126,128,127,126,128,127,128,128,125,168,169,158,150,143,133,128
15,66,61,59,59,61,64,64,65,69,80,95,110,119,130,138,143,144,149,154,160,167,171,176,179,181,184,188,190,65,61,59,60,60,62,66,66,69,82,96,111,120,131,140,145,145,149,155,162,168,171,177,180,182,186,189,192,65,61,60,59,59,63,68,66,70,83,97,110,121,131,139,145,146,150,156,162,169,173,179,182,185,189,190,194,65,62,59,59,63,62,61,64,70,84,100,111,122,133,139,145,147,151,157,163,169,175,181,183,187,190,191,195,65,62,61,62,58,66,101,79,74,84,100,112,123,133,143,148,149,150,156,164,171,176,181,185,188,189,192,196,66,63,63,63,47,161,166,120,113,108,103,105,122,132,134,135,145,153,163,168,172,175,180,185,188,190,193,198,67,64,62,61,51,154,137,106,107,107,89,105,110,113,108,101,107,115,131,153,171,181,188,188,188,190,195,198,67,63,62,62,56,77,92,70,78,70,64,102,91,92,86,101,116,105,103,109,124,136,153,175,197,192,196,199,67,63,61,59,62,61,61,61,66,60,63,73,66,65,65,106,113,107,109,114,118,108,89,86,130,204,196,199,67,64,61,59,61,65,65,65,73,87,101,100,101,98,84,93,91,89,80,104,132,122,102,98,58,129,212,197,67,65,60,60,60,62,63,63,72,88,102,120,129,138,144,129,89,71,101,135,139,134,99,111,102,46,157,216,67,63,58,60,61,62,63,62,72,88,105,115,126,151,152,129,108,114,186,133,146,114,123,136,111,84,58,184,67,61,59,59,60,61,63,63,73,90,102,121,182,164,118,97,93,89,173,108,94,125,171,119,143,123,63,68,65,61,58,57,58,59,60,60,71,91,92,160,205,116,88,94,98,61,98,72,58,199,137,112,159,137,92,45,64,60,57,57,57,57,59,59,69,91,91,153,174,91,92,117,125,115,86,54,81,173,79,99,162,148,104,62,64,60,57,56,56,57,57,58,72,91,93,140,150,68,107,127,137,128,90,75,87,92,87,115,140,131,98,62,61,59,56,55,55,57,58,59,73,90,92,146,204,99,95,130,144,125,78,70,85,87,105,116,103,79,70,57,60,60,56,55,55,57,58,57,71,90,93,148,170,191,140,98,94,80,64,74,82,85,93,107,98,57,49,51,61,59,55,55,52,55,57,57,68,91,89,199,175,160,181,122,72,28,32,68,87,91,103,119,99,57,51,50,61,57,54,55,53,55,56,57,69,87,97,143,164,181,167,150,121,52,0,5,37,101,102,105,79,54,53,55,49,46,43,43,43,44,46,48,60,78,96,106,120,148,138,141,113,98,31,6,21,95,118,92,69,64,67,68,109,103,99,95,91,85,84,85,93,102,109,119,129,133,113,100,120,155,89,14,43,58,115,128,109,95,84,75,114,109,108,107,105,105,110,110,105,102,99,97,102,107,110,106,109,188,112,46,67,47,66,95,95,83,71,62,95,93,94,91,91,93,95,92,93,94,87,82,88,91,93,97,84,115,92,95,102,92,89,74,62,61,58,52,101,102,103,100,100,101,103,103,101,102,103,100,103,105,104,105,107,101,104,105,108,108,119,119,87,64,56,50,102,104,106,105,103,102,103,104,103,104,105,104,104,104,102,104,105,106,105,107,103,101,119,135,114,89,66,76,103,106,107,106,105,102,105,106,105,107,106,106,107,105,104,104,106,105,106,106,105,103,98,117,168,102,105,116,103,104,104,103,103,103,104,104,104,105,104,104,106,104,104,106,108,107,106,105,104,104,103,102,215,199,166,153
18,154,156,159,161,164,166,169,172,175,176,178,180,181,183,184,184,184,185,185,185,185,185,186,186,187,187,187,187,155,158,160,162,165,168,171,174,177,178,180,181,183,184,185,185,186,184,183,185,187,187,188,188,188,189,189,189,156,158,161,164,167,170,172,175,179,180,182,183,185,186,187,187,188,177,161,165,182,183,182,187,190,191,191,191,158,160,163,166,169,172,174,177,180,181,184,186,187,186,181,180,191,171,137,124,146,157,151,162,187,193,193,193,159,161,165,168,171,173,176,179,181,183,186,187,190,186,162,149,169,153,116,103,103,133,137,126,161,193,195,195,161,163,166,169,173,175,179,181,183,185,186,181,187,189,158,140,156,140,108,98,94,126,140,115,129,187,196,196,163,165,168,171,175,178,181,183,186,188,188,166,155,171,167,154,159,148,130,121,111,116,125,109,116,183,198,197,165,167,169,173,176,180,182,185,187,193,196,174,149,142,161,159,151,159,159,155,145,123,102,92,113,184,199,199,166,168,171,174,177,180,183,186,189,195,195,189,167,136,134,148,137,147,167,171,163,134,95,77,111,187,201,200,167,170,173,176,179,182,185,187,191,192,176,179,168,138,109,122,127,118,143,163,162,136,100,77,113,190,202,202,168,171,174,177,181,184,187,188,192,189,154,146,151,124,89,95,112,95,101,133,155,146,114,85,121,193,203,203,169,172,175,179,182,185,188,190,193,193,161,138,137,106,77,78,95,81,73,101,153,161,130,94,117,191,204,205,170,173,176,179,183,186,188,190,194,199,177,147,130,101,75,70,87,75,62,92,156,176,147,108,102,169,203,205,171,174,177,180,183,186,189,192,195,200,179,147,125,101,77,69,87,76,73,133,181,189,161,119,92,131,197,207,173,175,178,182,185,188,191,193,195,200,191,165,135,106,85,76,81,84,126,186,201,190,160,121,96,119,194,208,174,176,179,182,185,189,192,195,196,202,198,174,141,113,96,89,91,123,181,211,207,187,152,115,96,127,198,208,174,177,180,183,186,189,192,195,197,203,201,180,150,125,112,109,119,165,205,215,198,175,141,105,92,140,203,209,175,178,181,183,187,190,193,196,198,202,202,186,162,142,129,119,131,177,209,209,184,156,126,98,93,155,207,210,175,178,181,184,187,191,194,196,198,201,200,189,169,149,137,127,132,172,207,203,173,144,115,94,97,168,210,212,174,177,182,185,188,191,194,197,199,199,199,190,173,153,145,140,132,163,202,194,161,131,106,90,105,182,212,213,174,177,181,184,187,190,194,196,199,199,196,189,176,161,158,150,132,152,195,181,148,118,98,88,117,194,213,214,174,177,181,184,187,190,193,195,198,199,195,188,179,167,160,154,134,142,182,166,134,107,92,88,131,202,213,214,175,178,181,184,187,190,194,195,197,199,196,190,182,170,159,152,133,130,166,151,118,99,89,91,147,206,213,213,176,179,183,185,188,191,194,196,198,200,199,195,187,170,154,141,122,116,147,133,105,93,89,104,173,210,213,214,177,179,183,186,188,192,194,196,199,199,198,201,187,163,143,124,106,107,130,117,100,92,92,135,199,214,214,214,176,179,183,186,189,192,194,196,199,198,198,204,185,160,138,116,104,108,123,110,98,92,107,172,209,213,214,214,177,180,182,186,189,192,194,197,199,197,200,206,189,166,146,123,111,115,122,106,97,89,134,199,213,213,214,214,176,180,182,185,189,192,194,196,197,195,200,204,192,173,155,127,112,121,119,104,92,91,157,207,212,213,214,214
18,148,150,151,153,154,156,156,156,158,158,158,159,159,157,156,157,156,156,155,154,155,154,154,154,152,151,151,149,150,151,153,154,155,157,158,158,160,160,160,161,161,160,158,159,158,157,156,157,158,157,155,153,155,154,153,152,153,154,155,156,158,159,160,160,160,161,161,161,161,161,160,160,160,159,158,158,158,157,157,156,156,155,154,153,154,155,157,159,160,160,161,161,162,162,161,162,162,162,162,162,161,162,160,160,159,160,161,157,157,155,155,155,154,155,158,159,161,161,161,161,162,163,162,163,163,163,164,163,162,162,162,161,160,158,154,159,158,158,157,156,156,156,159,161,161,162,163,163,164,164,164,165,165,165,166,165,163,162,163,158,180,143,110,166,159,159,158,157,157,160,160,162,162,163,165,166,165,166,166,166,166,166,165,165,168,168,163,166,197,145,71,156,163,160,159,159,159,161,162,162,164,165,167,168,167,168,167,168,168,166,171,153,125,148,138,129,196,165,81,112,173,159,161,161,160,161,163,165,166,167,168,169,168,170,169,169,169,169,186,171,124,101,110,129,195,176,113,62,144,169,160,162,160,162,164,167,167,168,168,170,171,172,172,169,174,160,122,148,159,117,85,112,174,174,128,96,81,150,167,161,162,163,165,167,167,169,170,172,172,172,171,181,179,156,119,73,137,131,88,66,99,150,139,115,87,80,170,163,162,165,166,168,169,170,172,172,174,170,189,198,194,162,136,90,87,131,85,56,48,108,160,117,98,62,160,168,164,166,167,169,171,172,172,173,173,177,196,178,201,167,139,102,60,85,72,51,36,130,169,138,103,68,163,167,166,167,169,171,173,173,173,176,172,199,197,158,181,157,146,101,60,61,64,52,37,107,166,151,106,64,159,170,167,168,170,172,173,174,175,174,188,197,180,162,171,131,112,83,58,78,58,38,39,109,159,154,110,63,160,171,168,170,172,173,174,176,174,179,206,186,152,130,158,92,78,69,71,96,54,73,93,123,160,142,102,60,159,175,168,171,172,173,175,176,176,181,212,198,172,129,109,105,98,36,71,102,128,154,157,121,126,121,99,56,150,175,169,171,173,175,177,179,176,188,211,200,183,140,99,112,90,15,117,179,180,158,144,130,91,105,101,57,138,180,171,173,174,176,178,181,176,200,211,198,164,133,120,110,75,92,198,187,175,154,123,124,97,87,94,53,150,181,173,174,176,176,179,180,180,204,208,189,152,143,119,89,94,179,190,181,166,148,124,112,101,79,70,75,177,174,172,174,175,177,179,179,184,206,207,184,154,149,118,93,150,195,184,173,161,145,120,106,95,78,51,133,183,172,174,174,175,177,179,180,186,206,204,185,159,164,115,134,162,185,180,164,157,141,108,99,87,65,64,176,177,176,175,175,176,179,180,180,187,203,199,184,173,158,120,122,162,166,171,154,147,126,101,89,81,46,115,189,175,178,175,175,177,179,181,180,186,203,197,187,179,143,111,109,149,155,153,148,136,115,95,81,62,59,174,180,179,179,175,176,178,180,181,180,190,198,194,191,165,120,94,123,136,150,146,136,124,101,82,68,39,134,189,178,181,180,176,178,179,178,182,182,194,192,182,175,146,118,114,132,137,145,142,126,112,90,73,42,98,188,178,180,181,180,177,178,181,181,182,181,202,201,198,185,174,158,140,124,136,145,132,110,93,82,49,78,184,181,181,181,181,180,175,180,175,167,183,186,208,200,200,188,171,154,139,115,126,139,118,97,86,63,60,170,187,182,182,181,181,181
0,214,214,215,214,215,215,214,216,215,216,216,218,216,216,216,214,215,216,216,217,216,216,216,217,215,214,214,215,215,214,215,214,216,218,218,219,218,217,214,216,216,216,217,216,216,215,217,218,216,217,217,217,218,215,215,215,216,216,216,217,218,219,220,217,219,220,217,218,220,219,218,219,219,217,217,218,218,217,218,217,218,215,215,215,218,218,218,218,219,220,218,217,213,194,209,221,211,217,221,216,214,221,224,221,223,219,217,218,219,217,215,215,218,220,219,219,220,220,217,224,220,161,118,171,187,166,180,206,193,168,197,213,207,218,223,219,218,219,218,217,218,220,219,221,220,220,222,218,219,163,79,115,197,147,99,167,193,125,98,161,149,134,168,217,220,216,219,218,219,220,220,220,219,218,216,185,204,176,115,99,177,136,85,139,168,114,78,143,145,95,86,148,219,220,219,219,221,221,221,221,220,214,207,176,165,196,155,84,136,138,76,131,156,101,79,155,142,93,93,131,155,231,219,220,220,222,222,222,221,216,206,183,144,153,150,76,121,136,63,118,173,114,73,161,161,98,100,165,116,175,231,219,221,223,222,223,223,216,204,182,146,120,112,83,125,120,52,127,172,99,82,177,171,146,132,141,127,102,222,222,222,223,222,224,222,215,207,198,173,128,106,98,111,98,66,114,143,110,167,185,170,159,134,111,100,93,215,224,223,223,225,225,223,217,213,204,192,165,116,98,91,102,119,117,145,187,198,187,176,149,130,117,91,108,226,223,224,225,226,226,225,218,218,208,200,190,153,103,99,110,118,145,192,202,200,194,178,145,121,113,84,132,237,221,224,225,225,226,225,214,224,216,209,205,181,137,130,122,127,174,199,204,211,199,172,141,118,108,78,175,236,222,225,225,225,226,227,204,222,224,217,213,196,170,160,147,137,175,189,206,215,200,166,136,117,98,101,218,227,223,226,226,226,225,229,206,209,228,227,221,204,188,178,166,153,165,194,212,208,193,156,125,121,88,156,235,224,226,225,227,227,226,230,215,194,225,232,226,212,198,187,178,169,162,181,206,203,184,149,120,116,86,203,233,224,227,226,227,227,226,225,230,184,211,229,230,219,205,196,188,172,162,167,188,188,164,135,118,99,108,229,227,226,226,227,227,229,228,225,235,198,189,227,231,221,200,196,185,171,163,163,175,175,143,121,113,78,162,239,223,227,228,228,228,227,229,231,228,225,180,222,229,210,190,195,180,174,165,149,155,162,133,118,92,109,226,229,226,227,228,228,228,228,230,230,228,229,195,224,229,213,200,207,192,177,162,140,141,146,131,107,87,197,235,228,230,229,229,229,229,229,230,229,229,230,201,225,233,222,206,217,197,175,162,140,132,137,130,87,147,237,226,230,233,230,229,229,229,229,229,229,229,231,193,217,232,228,211,214,194,172,158,142,130,132,127,81,193,235,227,230,232,230,230,229,229,229,229,229,230,234,193,214,234,228,213,204,190,170,156,145,129,126,116,91,215,230,229,230,231,230,230,228,228,228,228,229,230,228,207,220,231,226,215,202,189,174,156,145,131,119,107,103,232,230,229,230,229,230,230,227,228,229,229,230,231,220,213,229,219,221,211,199,187,174,155,143,130,115,103,116,237,227,230,230,230,230,230,227,228,230,230,229,231,217,211,220,218,221,203,190,184,172,155,139,123,113,95,139,234,224,230,230,230,230,230,228,229,230,230,228,232,215,206,217,221,219,202,183,175,168,153,134,113,108,86,169,230,225,231,230,231,230,230
4,180,181,181,182,184,186,187,188,188,188,187,187,188,188,188,188,188,188,188,188,188,188,189,188,188,187,186,186,181,182,183,185,186,187,188,188,188,189,189,189,189,189,188,187,187,188,187,185,186,190,190,190,189,188,188,188,184,185,186,188,188,189,189,189,190,190,190,190,190,191,188,176,168,174,174,166,165,179,189,192,192,191,190,189,186,187,188,189,190,191,191,191,191,192,191,185,179,179,188,186,166,145,140,151,144,136,167,193,194,193,192,192,188,189,190,191,192,193,193,193,193,193,194,190,173,149,149,180,176,135,99,111,130,106,129,189,195,194,194,194,190,191,192,193,193,194,194,193,190,180,183,190,180,142,110,132,168,135,90,75,109,102,113,184,196,196,196,196,192,193,193,194,195,195,195,194,185,151,131,148,175,149,97,85,149,147,103,67,101,115,115,182,199,198,197,197,193,195,195,196,196,196,196,192,182,144,98,94,156,163,106,73,137,170,129,77,99,130,125,183,200,199,199,199,194,196,197,197,198,197,195,176,162,147,110,77,136,171,116,89,137,170,137,85,85,120,129,187,201,200,200,200,195,196,197,199,200,199,197,172,139,146,133,85,107,149,113,86,108,135,125,83,74,92,103,169,201,202,201,202,196,197,199,200,200,201,200,182,152,144,131,90,82,102,96,87,90,102,102,82,89,105,100,136,193,203,203,203,197,199,200,201,201,202,204,194,170,143,114,88,82,89,91,96,99,98,96,94,127,143,130,121,168,202,204,204,199,200,201,202,202,203,205,194,166,140,114,96,96,101,108,118,124,129,136,137,150,162,147,117,129,191,205,205,200,201,202,203,204,204,205,191,159,132,113,103,110,120,137,152,161,175,186,182,168,158,134,101,95,165,205,206,200,201,203,205,205,205,206,196,166,138,119,111,121,133,162,182,182,191,195,189,174,152,122,91,82,144,205,207,201,203,205,206,206,206,207,205,180,150,126,116,124,140,177,192,189,194,193,186,170,148,119,89,85,154,206,208,202,204,206,207,207,207,207,208,191,162,135,120,127,147,182,195,197,200,197,186,169,146,115,88,103,181,209,209,203,205,206,207,208,208,208,209,201,175,146,127,138,151,179,198,205,209,205,191,168,137,107,88,133,202,212,211,205,206,207,207,209,209,208,209,206,186,155,138,149,158,177,200,211,215,214,197,162,127,99,95,166,210,213,212,205,206,208,209,210,211,209,206,206,195,163,145,154,164,181,202,214,219,215,189,151,121,93,112,192,214,214,213,207,207,208,210,211,212,210,202,200,197,172,153,155,164,184,204,212,215,201,170,138,113,91,142,208,215,214,214,208,208,209,210,211,212,211,200,196,198,183,162,156,163,182,201,204,199,179,151,125,102,100,175,214,215,215,214,208,209,209,210,210,212,213,204,193,197,190,174,163,165,177,191,192,177,157,133,108,94,135,203,217,216,215,215,208,208,209,209,210,212,213,209,193,189,188,179,169,166,167,172,172,157,135,110,89,109,183,215,217,217,217,216,206,207,208,208,209,211,212,211,196,186,185,177,170,163,155,154,157,143,117,92,83,147,209,216,217,217,217,216,207,207,208,209,210,211,212,212,199,188,181,169,163,157,146,143,144,128,100,82,94,179,216,217,216,216,216,216,208,208,209,210,211,212,213,213,202,188,174,157,156,154,147,142,135,117,92,79,112,198,217,218,217,216,216,216,208,209,210,211,212,212,213,213,204,190,177,162,166,164,155,145,132,114,94,79,127,205,218,218,218,217,216,216
11,212,216,219,222,226,227,229,231,232,232,231,231,232,230,229,227,227,224,223,223,220,220,218,216,214,213,212,208,216,219,222,226,228,229,232,233,234,235,233,233,233,232,232,230,229,228,226,225,223,222,221,220,217,215,213,211,218,222,225,228,231,232,234,235,236,237,236,235,235,234,232,231,232,231,228,226,226,225,222,221,219,218,215,213,220,224,227,230,233,234,237,237,237,239,238,239,238,237,235,234,227,230,233,230,227,227,225,222,222,220,218,215,222,226,229,231,234,237,240,240,239,240,239,240,240,240,236,244,225,161,229,231,229,229,229,225,225,223,219,217,224,229,230,233,237,239,240,241,240,242,241,241,241,241,237,251,235,131,201,241,230,232,231,230,228,225,222,221,226,230,234,236,239,240,242,244,242,243,243,244,243,241,239,251,228,140,192,246,231,232,232,231,228,226,224,223,228,231,236,238,240,242,246,247,247,246,246,245,246,245,238,255,241,151,191,248,235,233,232,231,230,227,225,223,229,233,236,240,241,245,248,248,248,248,247,246,246,248,240,255,253,160,179,250,236,235,234,233,232,228,227,226,232,236,238,241,244,247,248,250,249,249,249,248,247,248,242,255,234,146,178,251,236,237,236,236,233,231,228,226,233,237,239,243,246,248,250,250,250,250,250,249,252,255,251,255,225,139,184,253,238,239,238,237,235,233,230,228,236,239,243,247,249,250,251,251,251,253,255,255,239,196,226,255,222,146,195,253,239,241,240,238,237,234,233,229,239,240,244,248,250,251,252,255,255,247,208,228,225,157,142,242,192,132,209,254,242,242,241,240,239,236,232,231,240,242,245,248,253,253,254,214,224,239,167,115,203,185,112,122,131,112,235,252,246,244,242,240,240,238,233,232,241,245,248,250,253,255,255,198,128,222,187,110,203,183,110,96,101,136,255,247,247,246,247,245,244,243,237,232,241,246,250,253,252,255,255,231,126,195,198,110,189,161,106,98,97,149,255,248,250,246,240,234,222,218,236,240,245,248,250,253,255,255,255,226,129,148,175,100,168,154,102,86,83,142,255,248,249,241,228,218,189,171,167,209,246,250,253,252,255,255,245,224,137,107,157,102,194,170,114,78,89,150,255,241,254,252,208,170,136,129,108,130,248,250,255,254,255,255,250,210,115,130,179,107,239,225,133,88,111,143,235,246,246,189,113,99,151,183,175,194,249,252,255,255,255,255,254,186,139,164,255,142,229,223,107,105,158,172,219,237,190,107,114,222,255,253,251,246,249,252,255,255,255,255,235,206,196,148,255,165,112,176,147,176,177,169,192,170,105,129,249,255,247,244,241,239,248,253,255,255,255,255,251,226,186,168,219,154,168,228,219,192,167,146,145,100,118,255,255,249,249,247,244,241,250,255,255,255,255,255,255,234,213,233,244,251,226,209,196,176,161,129,97,108,241,255,253,253,251,249,247,243,251,255,255,255,255,255,255,230,198,198,221,228,210,204,177,167,151,89,129,244,255,255,255,255,254,249,247,245,250,255,255,255,255,255,248,201,172,195,213,205,198,181,167,154,97,147,255,255,255,255,255,255,253,250,248,246,248,255,138,99,242,250,227,193,196,208,205,193,177,156,123,99,174,255,255,255,255,255,255,255,252,249,246,244,255,195,78,66,132,226,241,235,225,195,193,169,136,89,130,241,255,255,255,255,255,255,255,255,253,250,247,244,251,117,79,91,77,116,199,214,200,181,167,142,99,97,255,255,255,255,255,255,255,255,255,255,253,249,248,246
12,152,153,155,157,157,158,158,160,163,163,163,165,167,167,166,166,167,168,169,170,168,169,168,169,168,168,169,170,153,155,156,157,158,159,159,161,163,162,165,157,152,164,169,162,152,156,169,170,170,171,170,170,169,169,170,170,155,155,156,158,159,159,160,162,165,182,182,149,122,125,176,159,135,116,158,170,171,172,172,171,170,169,170,170,155,156,157,158,159,161,163,161,182,207,190,145,127,105,168,154,135,112,117,137,148,165,171,171,171,171,172,171,155,156,157,159,160,161,162,164,195,186,184,157,151,107,150,165,146,113,93,120,110,118,168,173,173,174,174,173,156,157,159,160,160,162,163,170,204,166,170,166,146,107,134,170,150,107,101,129,114,86,150,177,174,174,174,173,158,159,160,161,163,164,164,175,207,160,170,151,122,88,80,135,119,92,115,144,123,93,147,176,174,175,174,173,158,160,162,163,163,167,158,153,177,127,158,153,130,95,64,85,80,70,150,158,122,95,159,176,175,176,175,174,159,160,162,162,170,185,161,134,119,106,133,154,149,145,128,122,106,76,127,130,102,94,170,176,177,177,175,174,160,162,163,163,195,200,171,144,108,105,125,135,133,147,152,153,149,111,76,75,79,111,178,178,177,176,175,174,161,164,161,181,200,198,182,153,119,107,130,122,102,119,129,158,173,146,102,61,68,135,182,178,177,176,175,175,162,164,164,202,184,183,186,161,127,103,102,109,94,98,111,167,180,169,142,86,70,155,181,179,178,176,175,175,161,162,179,198,161,149,173,164,137,111,92,100,93,106,127,165,177,177,165,122,86,167,180,180,178,177,177,176,161,161,192,191,170,148,144,166,142,112,92,99,92,104,118,157,178,174,171,148,104,169,181,180,178,178,178,177,161,162,201,194,175,146,118,152,149,114,94,90,93,107,130,149,162,174,161,156,115,151,183,179,180,179,179,180,161,164,196,173,146,122,101,115,156,129,116,88,103,112,150,173,167,164,152,142,124,119,182,180,181,180,181,181,161,166,203,183,160,138,119,106,138,145,144,106,113,134,174,182,177,162,144,130,120,107,180,182,181,181,181,180,164,167,208,192,166,145,131,112,112,134,129,118,130,168,191,186,178,160,142,122,105,117,183,182,182,182,181,181,165,170,211,195,172,154,139,116,113,133,113,125,155,191,194,185,175,160,144,121,95,132,185,183,183,182,182,182,166,173,215,198,177,162,147,123,117,141,128,150,184,202,194,182,170,157,143,120,90,144,186,183,182,182,182,182,165,177,220,199,178,167,154,137,121,138,144,165,200,205,194,179,165,156,140,115,88,158,184,183,182,182,182,182,163,179,221,201,184,171,157,149,132,135,155,168,207,202,188,176,164,154,134,109,94,171,185,184,183,183,182,182,164,176,217,205,192,175,163,156,145,134,161,167,207,197,181,173,163,151,130,103,103,178,183,183,184,184,183,183,167,171,208,208,198,183,170,163,154,139,159,167,204,193,173,167,160,147,126,97,122,184,183,184,184,183,183,183,167,167,199,212,199,187,175,169,157,142,149,162,196,189,170,164,158,139,121,91,147,185,183,185,185,184,183,183,167,166,192,215,202,191,179,170,157,146,144,153,185,185,166,159,153,138,115,95,168,185,184,184,186,185,184,184,167,166,184,218,205,190,179,166,153,146,146,148,171,176,157,152,149,137,105,112,183,183,185,185,185,184,184,183,166,165,186,221,202,184,174,163,151,143,146,148,162,167,152,147,148,131,95,140,187,184,185,185,184,184,185,183
2,119,122,127,132,135,137,138,142,145,146,148,150,153,154,154,158,154,161,162,164,166,165,165,167,166,167,168,168,120,124,129,133,136,137,140,143,145,147,149,151,154,153,158,156,104,132,154,161,124,146,174,165,169,168,168,169,121,123,131,134,137,139,141,143,146,148,149,151,150,158,159,124,75,86,139,139,85,105,158,167,168,169,169,169,121,125,131,134,137,139,143,145,148,151,149,154,164,157,120,84,63,77,106,107,99,101,86,157,170,168,169,169,124,127,131,135,138,140,144,148,151,152,153,175,171,128,74,65,68,79,77,95,105,105,61,113,178,169,169,170,124,128,132,136,140,143,145,149,152,150,170,179,142,91,52,52,63,81,77,96,97,89,83,151,176,171,172,172,127,129,134,138,141,144,146,150,149,160,184,139,90,57,46,37,62,94,106,90,113,129,158,177,173,175,174,174,126,129,134,138,142,144,147,149,147,180,165,100,60,56,56,54,84,88,91,144,177,176,177,173,175,175,175,175,126,130,134,139,143,146,149,144,170,179,132,87,54,58,57,70,68,101,157,177,172,172,174,175,176,176,175,176,127,130,136,140,143,148,147,154,184,150,100,55,49,50,65,75,92,180,174,172,173,174,175,177,177,177,177,176,127,131,136,140,146,148,147,183,174,125,81,59,62,51,69,67,135,177,170,174,174,176,177,178,178,178,179,178,130,134,137,142,149,144,172,201,167,118,84,70,68,62,60,95,173,172,173,174,175,177,178,179,177,179,181,181,130,134,139,143,146,144,201,189,148,108,75,67,64,69,70,155,176,172,175,176,177,177,179,182,181,181,182,181,131,135,139,144,145,162,212,178,135,97,69,64,62,65,99,178,173,175,175,176,177,178,180,180,180,182,182,182,132,136,139,145,142,192,204,165,126,86,65,64,67,64,139,178,173,176,176,176,179,181,181,184,185,183,184,182,131,137,142,142,156,213,191,155,119,82,64,65,65,55,156,178,174,176,176,179,180,182,183,169,151,138,154,187,131,137,144,139,190,211,179,143,109,75,61,66,67,57,108,183,176,175,176,181,187,177,152,143,138,104,117,190,132,138,140,152,212,193,165,137,105,73,60,63,67,77,72,124,177,181,182,179,160,149,149,138,113,133,180,185,133,140,134,183,210,182,159,127,97,70,58,63,72,84,96,84,100,141,149,142,132,140,152,104,143,193,185,185,133,136,142,209,197,181,149,116,93,71,54,68,81,97,110,107,95,117,131,149,154,146,115,106,189,184,184,186,134,131,175,210,184,169,139,119,97,72,55,82,103,119,126,119,113,131,145,144,131,120,123,170,189,186,185,186,133,139,204,194,184,165,139,123,98,72,63,100,120,125,132,129,116,128,127,112,136,168,187,187,186,187,185,186,126,170,211,188,181,164,137,120,97,74,70,112,123,122,130,134,97,94,128,168,189,188,185,185,186,187,187,188,133,206,199,184,178,157,129,113,96,74,75,118,120,115,132,106,105,154,184,184,183,184,186,185,187,187,187,188,174,210,185,181,174,143,113,101,85,70,89,110,120,114,110,130,180,187,182,182,183,184,184,186,188,187,187,188,203,191,178,166,160,132,107,93,79,78,93,99,113,101,144,182,179,180,183,183,184,184,184,186,188,188,187,188,191,182,171,155,159,116,95,91,81,88,75,90,131,161,181,177,180,182,183,183,185,185,185,187,187,188,187,188,185,178,163,148,161,108,84,92,91,79,101,157,173,178,177,180,178,180,183,183,185,185,185,187,189,189,187,188
7,213,213,213,213,213,213,213,213,213,212,212,210,209,208,207,206,205,204,203,201,197,196,196,192,191,189,187,184,215,215,215,215,215,216,216,215,214,214,214,213,212,211,210,208,207,205,205,203,201,199,198,195,194,191,190,186,216,215,217,217,217,217,218,219,217,216,217,215,215,214,213,210,209,208,207,205,204,201,198,198,197,194,192,190,218,217,219,220,220,219,219,220,219,219,217,217,217,216,214,212,212,210,208,208,208,207,204,204,201,197,195,192,220,220,221,221,221,221,221,221,221,222,219,217,217,216,216,217,218,216,214,207,202,191,184,183,190,201,197,195,222,222,223,222,222,222,221,221,221,224,225,224,225,221,216,201,182,170,158,165,149,125,155,187,152,190,202,196,224,223,223,224,223,223,225,228,228,220,212,201,183,166,150,148,128,117,134,126,121,116,137,152,129,198,204,197,224,225,225,225,225,228,220,195,170,155,144,148,145,140,138,132,118,101,107,93,97,90,70,96,142,164,193,203,227,226,226,227,230,213,181,158,127,129,141,134,135,129,126,107,104,112,100,96,103,94,93,87,74,89,121,199,225,224,228,227,201,181,181,160,118,107,102,97,102,110,122,132,139,140,105,81,107,94,81,73,57,85,89,188,225,230,220,187,175,181,175,159,141,123,120,127,141,149,145,145,132,122,90,62,68,56,54,62,66,84,140,205,231,220,182,172,177,176,166,166,161,147,145,137,140,134,119,111,95,79,62,72,109,141,166,184,199,206,211,206,223,182,174,176,178,170,175,172,152,110,86,94,98,83,73,107,122,144,173,205,225,227,224,220,216,211,207,206,186,181,181,181,177,177,172,150,125,68,60,68,54,48,37,115,233,236,232,227,220,216,215,215,214,212,208,207,181,187,184,180,179,169,142,135,108,71,57,41,38,39,41,14,134,238,220,222,221,219,217,216,214,212,208,207,184,185,181,184,173,150,138,130,123,126,101,48,39,44,32,44,178,229,221,221,219,218,214,213,211,208,211,210,177,182,189,184,161,137,127,122,133,145,100,45,41,35,46,177,238,223,223,222,221,218,214,215,218,219,197,115,179,186,185,164,129,113,113,109,116,106,60,36,34,12,113,249,222,226,223,222,219,224,227,214,182,129,73,46,180,179,159,131,120,119,118,103,95,80,60,42,41,18,107,239,222,229,229,228,233,195,141,97,59,42,38,45,172,153,131,130,128,124,113,84,67,78,83,54,30,73,220,241,233,209,197,195,155,80,50,37,43,42,43,43,144,130,131,125,109,90,71,64,75,95,80,38,57,183,197,173,124,67,61,55,46,42,56,42,27,35,41,45,133,133,119,94,80,76,74,78,77,67,44,67,93,85,72,69,31,28,43,27,42,32,33,40,14,25,35,43,134,126,103,93,93,90,78,65,55,52,91,106,78,63,58,54,47,13,37,24,27,25,25,26,9,17,29,39,118,93,80,79,76,70,59,57,77,105,108,77,58,51,43,35,35,16,17,27,17,21,21,17,3,12,29,36,69,45,57,63,70,74,83,102,115,103,56,50,46,40,29,34,28,22,3,21,12,15,20,9,5,15,27,34,32,75,109,112,119,115,111,111,103,71,43,28,37,38,24,28,22,23,0,9,15,12,20,6,6,17,23,31,50,114,116,112,119,110,107,103,79,36,32,24,23,34,16,20,11,17,2,0,13,11,19,2,10,17,24,29,67,115,115,111,112,111,103,85,48,14,33,27,11,30,10,17,4,14,11,0,10,13,16,4,15,16,25,25
6,199,201,201,202,203,203,202,202,202,201,201,199,198,197,196,195,195,192,190,188,188,189,188,185,183,183,121,142,201,203,203,203,205,204,202,204,203,203,202,201,200,200,199,197,196,194,192,191,191,191,190,188,186,183,176,125,204,204,207,206,206,206,205,204,206,204,203,202,202,203,201,200,197,195,196,195,195,193,190,190,189,184,184,165,205,207,208,209,209,209,208,207,208,208,206,204,203,203,202,200,200,198,198,199,199,193,191,191,189,187,183,174,207,209,210,211,211,211,210,210,209,208,206,206,205,205,204,203,202,201,199,199,198,195,193,193,190,189,185,180,209,210,210,212,213,211,212,212,211,210,210,209,208,205,205,207,205,202,200,200,200,198,195,193,193,191,189,184,209,210,211,214,215,215,214,215,213,211,211,212,210,210,210,206,205,199,200,198,199,195,191,191,184,187,187,188,211,212,213,215,217,218,216,216,219,217,212,209,204,197,194,191,189,163,163,181,182,164,176,172,181,230,167,178,212,214,217,218,217,217,216,214,205,192,194,196,189,191,194,195,183,178,163,189,194,174,178,181,170,207,144,172,214,217,219,219,218,217,217,224,196,170,180,196,198,205,207,206,187,161,162,155,156,142,129,131,119,125,156,193,215,216,218,220,220,216,229,238,205,185,174,173,177,171,166,157,146,134,103,97,88,95,144,152,172,190,197,192,216,217,219,220,222,218,240,241,219,203,183,166,159,148,141,128,112,89,57,41,38,167,219,207,205,201,195,193,216,218,220,222,221,227,248,244,234,198,156,148,154,164,162,153,141,132,129,83,128,219,202,202,201,200,197,195,218,220,221,225,219,238,255,249,230,164,128,138,144,158,164,162,151,137,138,101,144,221,205,206,203,201,199,197,220,222,224,225,218,250,251,246,198,135,146,142,131,134,155,144,132,132,124,71,151,220,207,207,204,202,201,199,220,223,225,221,226,254,246,245,209,184,167,147,119,120,159,150,141,145,125,87,203,214,210,208,206,203,202,200,221,225,226,219,244,249,247,250,247,231,183,144,151,162,163,153,137,123,121,99,170,221,209,210,207,204,202,199,224,226,221,227,251,249,251,246,244,239,175,131,138,145,145,142,124,112,112,74,162,222,210,212,208,205,202,199,223,226,216,236,248,253,248,239,237,215,165,136,129,119,124,132,128,121,96,93,205,216,210,211,209,204,204,208,224,214,217,244,248,250,240,230,223,217,196,174,135,89,99,128,123,121,86,133,225,209,212,210,204,204,203,175,224,199,233,245,248,242,237,237,229,221,227,213,153,111,129,154,140,115,104,88,201,217,209,208,209,218,129,36,210,208,242,246,245,241,243,239,224,229,234,197,133,108,119,121,110,96,83,78,200,217,216,220,187,110,34,20,204,230,238,242,239,234,227,222,218,229,214,167,121,113,112,98,87,81,74,160,230,218,185,114,52,21,21,17,222,232,238,234,225,216,208,210,209,192,168,134,115,102,77,120,141,165,196,205,154,95,38,18,20,19,20,19,231,230,234,225,208,203,200,196,194,169,138,124,124,114,129,196,170,141,104,58,24,0,4,16,16,10,13,11,227,229,220,206,193,180,193,191,177,163,149,132,106,71,73,43,20,10,7,19,5,0,2,7,10,6,9,5,226,224,215,202,186,172,174,168,151,141,120,89,51,24,3,9,9,10,15,16,0,0,0,1,8,4,5,7,229,218,210,190,164,156,149,130,110,96,71,40,12,23,10,0,1,2,9,11,0,0,0,0,5,0,0,5
23,100,108,121,127,130,134,138,140,141,143,145,147,148,150,151,152,154,154,155,156,157,158,159,160,161,162,162,162,100,109,122,128,131,135,138,141,142,144,145,149,150,151,152,153,153,155,156,156,159,159,160,160,161,162,162,163,102,112,124,128,132,135,138,141,143,145,147,149,150,152,153,154,154,155,156,156,160,160,162,161,162,163,164,164,104,113,125,128,133,136,138,141,144,147,149,150,150,154,155,156,157,158,158,159,160,160,162,161,163,165,165,164,104,115,126,130,135,138,140,143,145,147,149,150,151,154,155,156,157,160,159,159,159,161,163,166,165,166,166,166,105,116,127,131,135,138,141,143,146,147,150,151,154,155,155,157,159,158,160,163,152,153,156,124,156,169,167,167,108,118,128,131,136,139,142,145,148,149,151,152,154,155,156,157,157,166,172,161,140,130,112,100,163,168,167,168,110,121,129,133,137,139,142,146,148,150,152,154,155,157,157,161,170,166,162,128,99,121,126,159,171,168,169,171,110,123,130,134,138,140,143,146,148,150,152,154,156,157,154,181,169,138,116,100,144,154,173,170,169,170,171,172,111,124,130,134,137,141,144,146,148,150,153,155,156,157,156,186,170,113,107,173,166,104,155,171,169,171,172,172,112,124,129,134,137,141,144,147,150,151,154,156,156,157,161,189,172,154,187,181,147,117,134,180,171,172,173,172,113,125,131,135,139,142,146,148,149,151,153,156,157,157,167,187,176,188,177,156,146,155,128,142,150,175,172,174,113,126,130,135,139,143,146,149,150,151,154,156,159,158,168,178,173,175,166,171,171,160,121,87,103,164,178,174,115,126,131,135,139,143,146,149,151,153,154,157,158,160,169,167,162,171,175,167,158,143,108,75,77,124,182,175,117,127,132,135,141,144,147,150,151,153,157,157,164,176,169,159,160,165,159,155,157,138,97,73,78,85,124,176,118,128,132,136,141,144,147,150,151,154,156,154,180,190,165,161,161,161,158,153,138,121,95,75,71,94,89,142,119,128,132,136,140,144,148,150,152,153,156,155,169,194,174,174,158,134,118,107,109,126,94,73,67,92,93,156,120,129,133,138,140,145,149,151,153,153,156,157,165,189,176,164,147,133,100,59,110,131,94,74,83,95,114,182,121,130,133,138,141,146,149,152,154,154,157,158,168,184,165,156,165,125,86,74,123,111,73,73,99,95,148,185,122,130,132,137,142,146,149,153,155,155,158,159,166,187,163,168,166,115,66,72,77,58,67,84,101,109,180,180,124,130,134,138,141,146,150,152,154,156,158,159,167,182,165,173,158,126,83,45,50,67,90,99,92,139,185,178,124,130,134,139,142,147,150,151,154,156,157,159,169,179,166,177,159,126,96,54,70,92,104,106,102,172,180,179,125,130,134,139,142,148,150,153,155,156,159,159,171,178,170,175,159,126,104,68,82,102,108,99,131,186,177,181,125,130,135,140,143,147,150,153,155,158,160,159,173,178,173,173,155,128,103,70,87,106,108,93,153,185,179,181,126,130,134,140,144,147,150,153,155,157,160,160,175,180,168,165,151,127,104,82,86,106,103,99,174,181,180,181,126,130,135,141,143,147,151,154,155,158,161,161,174,178,163,159,146,126,106,92,87,103,92,126,186,177,180,180,126,130,136,141,143,147,151,154,156,158,160,161,174,177,164,159,144,129,112,96,90,97,95,169,183,179,180,181,125,130,135,139,144,147,151,155,156,157,161,161,180,176,166,160,145,131,116,97,93,90,138,185,179,182,182,182
5,82,88,95,101,108,115,120,123,125,130,133,137,139,142,145,146,156,135,137,156,157,158,158,159,159,160,160,159,83,89,95,103,109,116,121,124,127,131,134,139,142,144,147,149,168,119,117,157,158,159,159,160,161,161,162,161,84,90,97,104,111,118,123,126,129,132,142,134,140,147,148,162,159,94,126,159,159,160,162,162,163,164,164,164,85,91,99,106,113,118,124,128,130,136,165,113,124,151,150,178,130,83,146,162,161,163,164,164,164,164,165,165,88,93,99,107,115,119,125,130,131,148,157,95,127,152,163,180,109,99,160,163,163,166,166,166,166,166,167,167,88,95,100,108,122,135,113,130,130,166,131,86,141,153,182,153,95,128,166,165,166,167,168,168,167,169,169,169,89,95,101,107,135,147,94,129,136,176,119,98,149,167,175,111,95,155,166,166,168,168,165,170,170,170,170,170,90,95,102,108,141,164,93,127,144,157,104,115,154,183,156,94,113,166,166,172,186,174,137,163,173,172,172,172,91,96,103,111,139,192,113,118,151,143,98,132,162,189,147,101,140,169,178,185,181,185,136,155,175,174,174,174,91,96,105,114,128,203,169,134,149,148,116,133,172,174,130,106,157,178,192,161,152,182,116,158,176,176,176,175,92,97,106,114,120,191,213,189,155,138,119,124,160,147,118,127,175,189,155,111,144,173,101,151,180,178,177,178,94,98,107,116,121,148,205,215,178,132,106,101,116,114,120,155,182,175,131,95,160,169,100,125,182,180,179,179,93,98,109,117,125,129,162,218,185,139,103,89,90,94,116,157,152,136,107,117,177,162,106,103,178,181,182,182,93,99,110,118,127,132,137,210,194,149,118,93,87,88,105,132,130,104,96,161,190,174,118,104,177,183,183,183,94,101,110,119,128,133,136,209,204,162,136,104,85,85,94,113,114,90,135,179,192,180,126,112,181,185,185,185,95,102,111,121,129,134,138,213,213,176,151,114,86,84,92,114,130,137,162,167,186,177,124,116,184,186,186,187,95,102,113,122,129,135,138,211,218,187,156,114,86,81,98,134,160,169,166,145,150,167,119,125,187,187,187,188,95,103,114,123,129,136,138,205,223,190,158,121,91,82,114,157,168,167,158,133,117,125,102,132,189,188,189,190,96,104,115,125,130,137,136,192,221,190,166,133,101,100,127,155,161,154,143,119,101,97,93,146,190,189,191,191,96,106,117,125,131,137,136,179,218,194,169,138,106,104,136,147,148,132,125,107,94,93,128,180,191,191,193,193,96,106,116,125,133,138,137,180,223,195,158,128,105,94,121,128,128,112,107,97,96,137,183,190,193,193,192,193,97,107,117,126,133,140,136,184,218,178,139,112,99,95,107,115,111,98,93,99,149,187,190,191,194,194,194,193,97,107,118,127,134,140,138,191,211,170,135,107,104,106,101,106,97,89,94,149,188,190,192,193,194,194,195,194,97,108,119,128,135,140,159,198,203,175,141,109,112,113,97,95,86,88,145,187,190,193,194,194,195,195,195,195,98,108,119,128,135,162,210,214,190,161,136,113,112,106,89,83,75,129,185,190,192,194,195,195,196,196,196,196,99,108,119,127,149,201,218,218,203,177,130,108,103,97,84,78,83,172,190,190,193,195,196,196,196,197,197,198,98,108,118,132,191,210,214,204,192,186,167,133,101,87,77,71,97,183,188,190,193,195,196,196,198,197,197,198,98,108,117,161,209,207,204,191,185,170,171,158,119,94,84,76,83,160,187,189,191,194,194,195,197,197,197,198
22,0,24,45,44,50,53,55,68,83,94,100,103,106,110,114,117,121,122,123,129,128,127,129,128,128,128,127,126,0,29,45,46,50,54,57,68,84,96,102,104,107,112,115,118,122,123,128,110,122,131,131,132,129,129,128,126,0,35,45,47,51,56,57,70,86,97,102,106,108,113,118,122,122,125,143,65,98,139,124,118,134,131,130,129,0,39,46,48,51,56,58,72,87,97,104,107,112,113,120,124,122,133,144,62,106,143,108,70,134,132,132,131,0,40,46,49,53,57,60,74,88,99,102,123,125,66,121,125,122,144,145,60,115,152,97,72,140,133,133,132,1,42,46,50,54,57,61,75,90,103,104,126,113,46,115,128,123,154,138,63,126,159,90,85,145,136,135,134,7,46,47,51,55,58,63,76,92,103,108,119,121,53,104,133,126,150,123,63,137,159,83,105,145,137,137,136,13,47,48,51,56,58,63,79,92,104,111,115,125,62,88,136,130,142,107,59,145,152,70,119,145,138,139,139,18,48,48,52,57,60,64,81,94,105,112,113,127,78,71,134,134,138,95,64,161,129,59,133,145,142,142,141,22,49,49,53,57,59,64,81,96,106,113,111,127,86,49,121,137,122,87,66,168,107,67,146,144,144,144,143,29,50,49,53,57,59,66,83,97,108,114,112,129,116,59,102,133,107,70,83,168,86,79,151,143,146,146,144,34,49,50,53,57,61,66,84,97,107,114,113,129,143,73,71,116,105,89,138,152,70,95,154,145,147,147,147,40,50,50,52,57,60,68,85,98,108,114,127,102,110,60,60,99,125,154,160,127,59,115,154,147,148,148,148,44,50,50,54,56,60,68,85,98,107,120,138,100,85,64,79,105,141,162,151,112,56,134,153,149,150,150,149,46,50,51,54,58,61,70,85,97,108,118,124,140,140,100,51,76,121,143,143,110,55,143,154,151,150,151,151,48,49,51,53,58,60,69,87,99,110,118,134,151,158,97,57,55,84,108,119,94,54,143,156,153,152,152,152,49,50,51,53,58,61,70,88,101,112,114,152,138,116,106,88,60,60,68,72,80,52,133,159,154,155,154,154,50,50,52,54,59,62,70,88,102,112,115,150,135,104,120,113,87,65,58,48,63,49,124,162,155,157,155,155,52,51,51,54,57,61,71,89,101,112,114,155,150,119,109,121,111,101,76,47,48,46,121,164,156,159,158,157,52,51,50,54,57,61,72,89,102,115,115,154,157,128,112,167,123,113,80,53,52,45,123,165,158,159,159,158,51,50,49,53,57,60,72,90,104,115,116,143,171,122,131,189,129,101,76,60,58,49,130,166,159,160,159,159,51,51,51,53,56,61,73,91,103,115,118,134,164,110,142,173,129,99,77,68,59,52,141,165,161,162,161,161,52,52,51,52,56,62,75,91,103,115,118,126,149,115,137,156,135,111,78,66,61,56,142,165,162,163,163,163,52,52,52,55,57,62,76,91,104,114,120,123,138,134,139,148,129,104,78,63,61,57,141,167,164,165,166,165,51,50,51,54,58,61,76,92,105,115,120,122,131,145,130,131,120,84,70,64,60,50,139,170,165,166,166,165,53,50,50,53,57,60,77,92,105,116,119,122,130,141,119,110,115,75,70,67,58,40,127,173,165,166,166,165,51,49,49,52,55,60,75,91,104,115,118,123,132,132,103,108,132,116,94,69,59,38,101,173,162,165,165,164,50,47,48,51,53,58,73,90,104,113,118,122,130,136,136,143,142,128,113,78,55,42,65,163,163,165,165,164
3,117,126,133,137,143,149,152,156,159,162,165,168,169,171,172,173,175,164,167,173,174,174,174,174,173,174,174,174,118,127,134,138,144,151,154,157,160,164,167,170,172,173,174,177,185,153,152,173,175,175,175,174,173,173,174,174,120,129,135,139,146,153,157,160,163,166,170,173,175,176,177,181,195,152,133,172,178,177,177,176,175,175,175,174,123,131,137,141,148,156,160,164,167,170,174,177,180,181,181,186,198,155,125,173,174,175,180,179,178,177,177,176,126,134,139,144,152,159,163,167,171,175,179,181,184,184,189,197,192,153,129,179,163,159,182,183,182,181,181,180,130,137,143,147,155,162,166,170,174,179,184,192,193,180,190,209,200,181,155,174,161,139,176,187,186,185,185,184,133,140,146,152,159,166,171,177,177,178,198,213,210,179,153,158,184,194,163,140,151,130,151,184,190,189,189,188,137,144,150,156,163,169,179,194,191,181,190,183,187,192,164,110,127,149,122,115,142,138,128,161,192,194,193,192,141,147,153,159,167,175,193,191,175,172,151,120,121,164,167,113,109,112,102,139,159,154,128,140,192,198,198,197,144,150,156,163,171,183,199,162,127,143,117,95,81,101,115,92,91,83,91,163,190,181,140,140,194,202,202,201,146,153,158,165,175,188,206,167,128,149,139,122,101,101,95,81,80,78,93,171,211,198,149,144,198,205,205,205,149,155,161,169,178,190,211,185,152,165,172,153,132,122,112,104,96,93,101,165,213,200,150,147,201,208,208,208,152,158,163,172,182,192,215,203,175,163,158,138,133,135,137,136,127,131,138,172,208,191,142,145,203,211,212,211,155,161,166,175,185,195,219,207,172,150,142,133,137,147,159,163,171,186,199,203,194,167,129,141,205,215,215,214,158,164,169,178,187,198,222,209,170,143,135,139,145,160,178,189,206,216,221,207,172,138,119,140,207,218,218,217,161,166,172,181,190,199,223,219,184,152,137,144,153,171,196,208,220,226,220,194,153,120,111,153,214,221,221,221,164,169,175,184,193,201,223,230,202,169,144,141,154,180,206,218,229,231,215,180,140,110,115,186,223,225,224,223,166,170,177,186,195,202,221,237,217,188,160,144,155,180,207,225,235,229,203,165,129,104,145,215,227,227,226,225,168,172,179,189,198,204,219,239,230,204,176,159,159,174,203,227,234,221,189,149,116,110,184,227,229,229,229,228,171,174,182,192,200,207,217,236,236,218,192,177,171,173,199,223,226,207,171,133,105,132,212,231,230,231,230,227,173,177,185,194,203,209,214,227,235,228,207,191,180,174,200,215,213,186,150,117,103,168,228,232,230,222,202,180,176,180,187,196,205,212,215,219,229,231,217,201,185,172,191,203,193,163,129,103,123,205,227,211,184,146,106,81,178,182,190,199,207,214,217,216,221,226,219,206,187,168,169,185,173,143,114,103,160,199,163,119,87,65,54,47,181,184,192,201,209,215,219,219,217,225,219,206,187,165,155,167,160,132,106,115,156,122,78,56,49,46,44,39,183,186,194,203,211,217,220,221,218,225,215,198,181,160,149,153,147,124,100,99,95,69,58,42,37,46,42,34,184,188,196,205,212,218,221,223,220,224,205,187,178,160,149,144,135,119,92,66,51,51,60,42,27,40,45,34,183,188,196,205,213,217,221,223,217,225,213,196,190,172,154,142,129,116,85,58,43,36,53,48,25,30,46,43,183,188,197,206,214,218,222,224,214,225,224,211,204,180,158,142,126,113,80,56,45,29,41,51,30,23,39,48
23,142,147,150,155,159,162,165,168,169,170,171,169,170,171,170,167,168,167,166,164,162,161,162,161,159,162,181,196,146,151,156,160,164,170,172,173,175,176,176,176,176,177,177,174,176,173,168,167,166,167,165,164,162,164,143,138,150,157,162,166,170,176,179,180,182,182,184,183,182,179,177,178,172,176,181,173,171,173,172,169,167,169,153,79,156,162,167,171,176,181,185,187,188,190,190,189,188,201,220,222,182,137,161,178,181,177,176,173,172,171,175,128,160,165,172,177,181,185,190,193,195,195,198,231,231,241,251,229,208,184,172,169,162,186,182,180,177,176,173,173,164,169,175,180,184,190,194,197,200,199,215,250,210,177,168,111,129,160,154,113,123,193,186,184,182,181,180,176,167,173,179,183,188,195,198,202,205,201,236,230,206,74,96,155,178,153,125,130,184,197,192,189,187,186,184,181,170,177,181,187,191,196,201,205,207,210,248,228,199,131,175,182,221,212,211,212,204,200,199,197,193,190,188,186,173,179,183,190,194,200,204,209,210,221,241,220,233,248,201,73,187,220,206,203,206,205,204,203,200,196,194,190,176,182,186,193,196,203,207,212,211,230,241,248,255,242,191,77,166,214,221,218,212,208,210,208,206,202,198,203,178,185,189,194,201,205,209,214,212,240,255,255,226,217,160,159,240,145,149,191,211,222,212,212,211,206,213,151,181,187,192,197,204,209,211,214,233,248,243,208,179,202,179,191,229,150,60,49,83,186,224,214,213,215,200,45,184,190,195,200,205,208,218,241,246,228,211,214,223,234,228,168,162,143,66,47,43,104,233,215,211,228,129,31,184,192,198,202,205,228,239,236,234,236,246,252,244,225,202,149,67,126,85,64,55,108,233,222,234,225,65,36,187,194,201,205,209,239,223,220,215,211,225,221,199,180,167,128,41,38,68,67,50,129,249,197,164,103,41,39,188,196,202,206,216,252,231,201,194,203,205,205,200,190,177,124,52,9,53,79,70,83,101,53,19,19,34,35,192,198,203,207,218,243,228,207,208,219,225,221,192,172,155,99,55,26,83,110,90,22,0,30,26,28,31,30,194,198,203,209,214,224,230,227,227,212,214,158,126,133,121,89,53,23,55,104,89,32,4,6,6,31,27,24,194,199,205,212,216,221,228,225,215,190,156,104,41,65,123,92,42,38,67,86,70,19,18,11,4,11,20,13,196,202,207,214,218,218,218,232,231,170,111,76,32,73,142,82,27,49,73,80,47,15,10,13,15,6,7,10,195,201,206,213,217,214,208,242,223,114,72,27,40,87,73,35,49,70,69,68,28,21,19,0,2,13,11,13,196,201,206,212,218,210,205,233,191,115,81,41,10,13,20,49,71,85,83,50,5,17,23,8,0,0,2,20,196,202,208,213,218,204,207,234,192,122,91,50,16,28,64,82,92,92,81,38,0,1,21,20,0,0,0,3,196,202,208,212,218,200,220,240,201,131,98,64,40,43,85,93,96,89,68,22,0,1,7,21,8,0,0,0,204,210,215,221,227,208,215,231,198,145,104,80,53,43,69,93,96,89,49,0,1,0,4,8,18,0,0,0,158,166,173,180,190,181,214,223,194,146,106,94,64,54,54,90,98,86,21,0,3,0,0,1,6,7,0,0,88,91,93,96,89,113,213,210,181,133,110,113,66,60,61,80,93,44,12,3,0,0,0,0,0,3,0,0,103,104,105,108,91,95,215,193,158,118,127,118,67,63,62,78,41,0,12,8,6,0,0,0,0,0,0,0
13,154,154,156,159,159,160,161,161,163,163,163,163,163,163,163,163,161,160,159,158,159,158,155,153,152,150,149,149,154,155,157,160,161,162,163,164,164,165,166,167,170,164,165,167,167,162,161,160,158,158,157,156,155,153,151,150,155,157,158,161,163,164,164,165,165,166,153,127,134,172,152,124,133,167,162,162,161,160,159,158,156,156,154,152,156,158,160,162,164,164,165,168,167,171,153,121,94,125,133,105,64,138,172,163,162,162,161,159,157,156,155,153,157,159,161,163,164,166,167,169,167,178,174,138,115,67,124,121,73,98,177,163,164,163,162,160,158,157,156,154,157,161,163,164,165,167,168,169,169,171,177,140,109,64,99,115,72,81,175,166,165,164,162,161,160,159,157,156,158,162,164,166,167,168,169,170,174,175,167,138,103,67,73,92,61,73,174,166,166,164,163,162,162,161,159,156,159,162,165,166,168,169,170,169,158,163,153,136,105,79,69,103,62,83,177,166,168,167,166,164,164,162,160,157,160,162,164,167,169,171,171,156,112,92,100,140,139,94,78,111,73,88,180,167,169,168,166,164,164,163,161,159,161,164,166,168,170,171,181,155,112,98,77,138,153,104,69,98,70,53,156,175,169,169,167,166,165,164,162,160,162,165,166,169,169,163,131,135,131,119,82,66,107,73,62,71,69,64,98,179,169,170,168,167,167,164,163,161,163,165,168,167,176,156,99,86,141,123,106,48,24,31,56,75,87,98,68,145,178,169,169,168,167,166,164,162,163,166,166,177,183,140,112,92,114,133,106,81,29,54,60,92,111,110,74,97,183,170,170,169,168,166,165,163,164,167,169,182,146,138,128,112,86,125,114,94,42,65,119,129,115,97,77,83,180,171,169,169,169,167,165,163,163,166,169,183,143,117,124,107,86,100,104,72,40,76,133,141,124,91,63,97,183,171,171,171,169,168,166,163,165,166,173,172,144,105,96,97,70,51,75,66,48,99,141,134,121,90,50,125,185,172,171,170,169,169,166,164,165,167,171,173,164,137,99,72,51,39,72,78,80,147,150,128,113,83,51,155,182,174,172,170,169,169,167,164,166,169,170,172,168,148,123,105,88,86,97,96,140,167,142,119,102,76,66,177,177,175,174,171,170,169,168,165,167,170,171,170,165,153,133,112,94,97,132,160,162,152,133,112,95,63,87,188,176,176,174,172,170,168,168,167,166,170,172,173,155,142,130,110,97,99,123,158,153,140,120,102,88,51,114,190,176,177,175,172,170,169,169,168,166,169,172,174,149,140,131,114,108,103,115,149,152,137,112,90,79,45,149,187,178,176,175,173,171,170,170,168,167,169,171,176,163,140,133,122,113,101,108,142,144,126,99,80,57,69,184,179,178,177,176,175,172,170,170,168,166,169,171,175,176,147,133,125,111,100,98,124,131,112,86,73,41,131,190,179,180,178,176,175,172,172,171,169,167,169,172,175,178,172,140,121,106,101,98,112,124,106,85,64,59,179,181,180,179,178,177,175,173,172,171,169,167,170,173,176,177,177,155,129,112,106,110,111,120,107,83,55,104,193,179,180,180,179,177,175,175,174,171,169,167,169,172,174,175,172,162,138,132,130,126,117,120,103,76,55,144,189,179,179,178,178,177,174,174,172,171,168,165,168,171,175,174,165,169,149,143,137,128,124,113,93,71,60,169,183,179,177,176,176,175,173,171,170,168,167,165,168,171,174,174,161,175,153,144,143,127,115,96,89,62,71,182,180,180,178,177,177,176,174,172,170,168,167
22,88,91,97,113,127,137,141,145,152,158,163,167,170,172,175,176,178,179,179,178,177,177,176,175,173,172,171,170,88,91,99,115,128,138,142,146,154,160,164,168,172,174,177,178,181,173,173,180,179,179,178,178,176,175,172,172,89,92,100,117,130,140,144,149,156,169,172,145,172,176,179,181,191,156,133,181,181,180,180,164,171,178,175,173,90,93,102,119,132,142,147,152,157,184,185,119,167,179,181,183,199,152,117,182,184,186,183,129,141,181,178,175,90,93,102,120,133,143,148,153,159,184,194,122,158,182,182,187,195,145,125,187,185,194,180,119,144,183,180,178,90,94,104,122,135,144,149,155,161,179,199,132,147,184,184,189,188,139,137,189,189,197,166,114,166,184,181,179,90,93,105,122,136,146,151,157,163,177,208,154,136,185,187,187,173,127,145,191,200,200,149,123,184,184,183,181,91,94,106,123,136,147,152,158,164,175,207,162,127,180,189,189,173,118,153,194,204,186,133,150,189,186,185,183,91,95,107,124,138,149,153,159,166,174,204,169,121,168,191,188,175,118,166,205,202,158,116,174,190,188,187,185,90,94,107,126,139,150,155,160,168,174,199,191,137,152,192,177,160,109,186,217,195,140,124,189,191,189,188,186,91,94,108,126,140,152,157,161,169,176,190,198,140,126,178,156,151,132,201,207,179,120,155,195,193,190,189,188,91,95,109,127,142,153,157,163,171,179,185,195,133,98,145,159,178,197,207,188,146,112,184,196,193,192,190,188,91,95,110,128,143,153,157,164,173,180,182,190,147,120,158,169,181,196,194,171,115,144,199,196,194,194,192,190,91,96,111,129,144,154,158,165,174,190,179,151,147,131,151,160,182,182,185,148,105,178,202,198,196,195,194,192,91,96,111,130,145,155,159,167,175,203,177,166,153,153,128,113,150,165,155,115,104,190,202,200,198,197,195,194,89,95,112,130,146,156,160,168,177,210,191,176,171,163,128,98,93,123,122,100,109,199,202,201,200,199,197,195,89,95,113,132,147,157,161,168,182,217,197,156,135,144,148,134,104,83,82,85,107,201,203,202,202,201,198,196,91,96,114,132,148,157,162,170,183,221,204,143,95,98,151,154,134,106,89,74,88,194,207,203,202,201,199,198,89,95,114,132,148,157,161,170,180,219,214,164,141,95,184,176,149,125,104,66,75,189,207,204,202,201,201,200,87,93,113,132,147,157,161,169,178,217,221,176,153,131,206,194,161,131,107,64,84,198,206,203,201,201,201,201,86,92,112,132,149,157,161,170,177,212,222,181,159,182,204,180,160,123,98,62,106,208,206,204,202,202,202,200,84,90,111,132,149,158,162,170,178,203,220,197,168,202,201,166,162,136,93,60,126,210,207,206,204,202,202,200,81,88,109,130,147,156,161,170,179,194,214,200,169,195,194,166,154,136,88,59,157,212,208,207,204,202,202,201,106,110,119,129,140,147,152,158,165,165,197,199,168,163,174,150,131,110,72,68,167,187,184,183,183,182,182,181,114,114,112,109,112,115,115,117,118,92,118,184,148,125,134,123,103,82,64,78,110,111,109,109,109,108,108,104,114,115,115,115,115,115,115,117,111,73,53,105,120,120,128,132,110,81,55,78,109,106,105,105,103,100,82,61,116,116,116,116,116,116,117,118,94,57,54,50,83,118,126,127,99,58,24,60,111,108,107,105,86,63,43,34,116,116,116,116,116,116,118,113,71,60,57,52,49,68,89,80,47,21,13,72,112,107,107,88,54,44,34,24
21,123,130,136,139,143,149,154,158,161,164,166,168,170,171,171,172,172,171,170,170,171,169,169,168,166,165,165,164,124,132,138,141,145,150,156,159,163,166,168,170,171,172,174,174,173,173,172,172,172,171,171,168,167,165,165,165,126,134,140,143,147,153,157,161,165,168,171,172,172,174,173,174,176,175,175,175,173,173,172,170,169,167,166,166,127,135,141,144,147,154,159,164,167,170,172,174,174,188,159,146,177,177,177,177,176,175,174,173,172,170,168,167,128,137,142,144,149,155,161,165,168,171,174,175,177,200,165,118,169,180,179,179,178,177,177,174,173,172,171,169,130,139,144,145,151,158,163,166,170,173,176,177,178,198,181,124,154,183,180,180,180,179,180,166,139,168,173,172,131,140,145,147,153,159,164,168,172,175,178,180,181,193,205,152,142,184,183,182,182,181,185,158,107,157,176,174,133,142,146,149,155,161,167,170,173,177,179,182,183,191,217,170,130,180,185,185,183,185,184,152,109,162,177,176,135,143,148,151,157,164,169,171,175,179,181,184,185,190,216,175,126,169,188,187,185,193,185,142,114,176,179,178,136,144,149,152,159,165,170,174,177,180,182,186,187,189,217,186,133,155,190,188,188,198,179,130,130,183,181,179,137,144,150,153,160,166,171,175,179,182,184,187,188,188,216,201,146,148,191,188,194,192,158,113,153,185,183,181,138,146,151,154,161,167,172,176,180,183,186,188,189,190,208,201,142,142,192,193,203,191,147,105,172,186,183,182,140,148,152,156,162,169,174,178,182,185,187,189,191,191,201,199,130,129,190,194,202,181,131,125,186,186,185,184,141,150,154,158,164,170,176,179,183,186,188,191,191,164,161,197,135,141,176,188,182,153,106,154,191,187,187,186,141,150,156,159,165,172,178,181,184,187,190,196,200,154,128,161,142,140,166,180,174,125,106,182,190,189,188,187,142,151,157,160,167,174,179,183,186,189,191,185,195,159,144,132,144,137,128,157,158,107,143,194,192,191,190,188,143,152,157,161,168,175,181,184,187,193,203,164,154,162,164,157,164,137,86,107,125,93,159,196,194,193,192,190,144,154,158,162,169,176,181,185,188,206,217,184,131,152,162,151,152,130,101,80,81,83,168,197,194,194,193,192,146,155,159,163,170,176,182,187,190,208,217,192,134,126,148,114,121,137,124,97,71,76,173,198,196,196,194,193,146,155,160,165,171,178,184,188,191,216,211,184,143,110,153,142,97,144,145,116,88,69,150,202,198,196,195,194,147,156,161,166,173,179,185,189,193,216,206,187,143,95,150,193,117,142,169,128,103,77,119,202,199,198,197,195,148,158,161,165,173,180,186,191,193,218,228,200,139,121,117,152,118,160,165,132,107,82,113,202,200,199,198,196,149,157,161,166,174,181,187,192,194,214,231,212,161,160,105,133,177,168,155,120,103,76,124,204,201,201,199,197,149,158,163,167,175,182,187,193,195,210,231,204,174,150,125,171,192,155,148,136,98,72,139,206,202,201,200,200,150,159,162,168,176,183,188,194,197,206,228,202,191,157,163,203,185,161,150,143,105,70,163,207,203,202,201,201,149,158,161,167,175,182,188,194,197,202,220,203,193,167,172,202,179,159,137,124,91,80,189,206,203,202,202,201,149,157,160,166,175,182,188,192,196,199,210,204,190,170,146,172,157,134,113,97,69,113,205,205,203,202,202,200,151,158,162,168,176,182,188,192,198,178,177,206,188,161,131,134,134,122,101,82,68,162,209,206,204,202,202,200
15,138,117,126,91,80,139,29,17,59,56,57,60,64,67,79,93,104,113,118,122,128,133,138,141,144,146,149,152,136,121,132,84,94,137,18,26,60,57,59,62,65,68,81,95,107,116,120,124,131,136,140,143,147,150,152,155,135,123,134,77,108,130,9,36,61,57,61,64,65,69,83,96,109,118,121,126,132,139,144,147,150,153,155,157,133,126,134,70,122,120,0,42,59,56,58,60,62,69,87,101,112,120,123,127,135,142,146,149,153,156,159,161,130,127,132,67,136,104,4,56,66,68,77,86,89,74,84,98,113,124,127,131,139,144,154,158,156,158,163,164,129,138,127,94,119,106,91,94,91,98,102,96,87,82,82,83,88,98,106,112,110,102,109,138,165,167,164,167,135,143,111,99,103,97,93,81,81,83,78,76,76,88,90,88,88,86,85,98,102,92,80,66,94,151,177,174,137,124,90,88,84,83,78,73,77,78,79,77,81,93,94,91,84,80,83,97,100,97,92,76,59,60,112,169,138,140,104,79,94,68,65,68,73,77,76,77,86,94,91,86,82,81,93,97,90,95,89,80,76,69,54,71,141,149,97,99,159,31,24,66,59,61,63,66,71,83,96,111,95,90,91,92,95,95,89,82,81,86,73,58,143,152,87,113,154,18,28,67,59,60,63,65,65,78,102,148,126,105,98,91,84,91,84,86,82,99,83,69,143,152,83,127,144,9,36,67,59,60,63,65,68,76,132,136,111,84,76,84,66,66,82,89,91,109,91,77,145,150,77,139,132,2,44,66,58,60,63,66,64,96,151,115,100,74,36,46,35,27,105,109,110,105,85,83,147,147,76,150,120,0,51,65,59,61,62,65,66,140,137,101,86,68,33,21,12,26,125,127,121,97,76,82,149,143,75,161,107,0,57,64,60,60,63,59,91,169,134,96,80,49,21,22,7,50,133,135,131,99,73,75,156,138,79,167,91,0,63,63,59,61,63,59,85,154,142,109,82,40,13,21,28,63,124,143,138,104,75,72,162,132,85,179,79,0,66,63,59,61,63,65,64,131,161,133,95,54,11,38,68,60,109,143,124,97,77,63,166,125,94,184,66,4,70,62,59,59,62,65,67,98,170,155,112,61,21,14,46,103,127,123,95,86,74,52,171,114,105,184,51,10,69,60,57,57,60,61,71,85,153,168,134,113,101,99,120,122,106,86,70,72,69,55,173,106,118,181,37,17,68,58,57,56,59,60,69,87,120,172,155,140,132,131,135,101,71,65,64,62,66,68,173,97,132,173,25,25,69,57,56,55,57,60,71,86,139,154,115,106,109,129,133,89,58,59,51,58,65,58,170,93,147,165,13,32,67,55,54,54,57,60,68,99,168,121,104,108,104,124,128,92,60,55,113,94,40,40,167,87,159,152,6,39,64,50,49,49,51,53,60,106,155,111,98,94,90,110,115,95,54,82,208,111,42,41,162,88,164,147,102,97,105,96,92,89,86,88,90,105,129,112,108,120,89,69,101,100,69,95,199,112,50,45,155,91,168,151,112,78,93,92,92,92,95,99,98,92,88,97,95,142,137,73,71,106,88,99,119,87,56,49,150,94,173,147,107,81,94,92,93,93,94,94,96,96,98,100,93,102,156,116,78,102,101,101,102,80,46,45,141,102,177,144,106,87,94,94,96,96,95,98,99,99,101,101,100,98,111,117,97,104,103,102,106,82,43,22,132,109,175,143,106,89,96,93,95,96,96,98,98,99,101,101,101,102,101,100,102,102,103,102,104,81,52,34
6,167,168,170,172,172,174,175,174,173,174,174,175,174,173,173,173,173,173,172,172,171,171,171,171,169,169,167,167,167,169,171,172,173,175,175,175,176,176,176,175,176,175,175,174,174,174,173,172,171,172,172,171,172,171,168,167,168,170,172,172,174,176,177,177,178,177,176,176,177,176,175,174,175,174,173,173,173,173,173,172,172,171,169,168,167,169,172,173,175,177,177,177,177,177,177,177,176,176,177,176,175,175,174,174,173,173,173,172,172,172,171,169,168,170,172,174,175,176,177,178,178,177,178,178,177,176,175,175,175,175,176,176,176,177,175,174,173,172,171,170,169,171,172,174,176,176,177,178,178,177,175,172,167,160,145,146,152,156,155,156,157,154,163,166,172,173,172,171,169,172,173,174,176,176,174,178,178,179,177,173,171,161,145,146,156,161,152,153,141,135,172,159,143,176,171,172,170,172,173,177,179,172,175,184,185,186,181,174,168,157,146,144,153,159,156,153,151,141,164,151,129,176,172,172,171,173,173,195,186,172,173,175,172,165,159,156,148,145,133,115,112,125,129,133,137,134,137,137,161,176,172,172,172,174,175,202,185,170,164,159,163,167,168,162,152,149,153,127,113,164,162,164,165,168,169,173,177,174,173,172,173,173,178,188,166,162,165,170,176,180,175,166,160,156,156,136,109,181,183,182,181,180,179,178,177,176,174,173,173,171,193,187,161,160,164,170,177,180,178,171,163,154,141,123,100,154,184,178,179,178,178,177,178,177,175,174,173,173,194,174,161,159,161,164,168,170,171,165,154,148,137,105,100,129,185,178,179,179,179,178,178,178,176,175,173,176,184,162,171,169,167,167,171,177,177,165,147,149,150,105,97,121,182,180,180,180,180,179,179,177,176,175,173,175,182,182,182,173,176,176,182,185,173,160,152,153,143,111,101,117,178,182,182,182,180,179,178,177,177,176,174,173,184,204,188,170,173,174,176,175,169,161,155,143,124,111,108,120,182,182,182,182,180,179,178,178,177,177,172,172,187,201,185,171,168,160,150,148,150,147,142,132,105,104,113,161,186,182,181,181,181,179,178,177,176,175,172,171,186,190,184,174,161,148,144,156,164,157,156,160,116,90,120,181,182,181,180,180,180,179,178,176,175,173,175,173,187,183,193,178,161,162,177,183,168,155,149,154,123,99,139,185,181,181,180,180,179,179,178,177,175,174,174,172,187,182,189,177,164,165,172,172,159,151,144,134,117,108,153,188,181,181,180,179,179,179,178,177,176,175,172,168,183,185,179,170,166,165,167,163,156,143,130,115,105,112,167,184,181,182,182,181,180,179,178,177,177,176,175,168,177,184,183,171,164,159,154,141,129,116,106,115,142,163,183,180,182,182,181,182,181,180,179,179,178,171,165,161,174,182,173,161,152,144,131,116,107,94,108,157,179,177,175,175,175,175,174,175,175,175,175,175,167,198,112,115,169,175,156,148,143,137,115,106,110,109,114,116,115,114,115,115,115,115,113,113,114,114,115,108,187,235,111,113,166,167,148,150,145,128,111,108,114,118,108,105,105,104,104,104,104,103,102,102,102,102,92,175,237,227,111,119,169,159,147,157,143,119,109,107,117,115,109,110,109,109,108,111,117,112,112,115,114,97,176,237,230,228,107,126,173,157,150,156,140,120,108,108,123,113,109,110,108,108,107,108,110,108,108,112,98,162,237,231,228,222,107,136,176,154,146,149,130,113,106,113,122,110,110,109,109,108,107,107,108,108,111,101,139,235,230,233,222,219
13,141,143,149,154,159,162,165,168,171,172,174,176,178,179,179,180,180,180,180,181,181,180,180,179,179,177,176,176,142,144,149,155,160,163,166,169,171,173,175,177,178,180,180,181,181,181,181,182,183,182,181,181,180,179,177,177,143,144,150,156,161,164,167,170,173,175,177,178,179,181,182,181,182,182,183,184,184,184,182,182,182,180,178,179,143,146,152,157,161,165,168,172,174,176,179,178,182,180,178,183,184,184,184,185,185,184,183,183,182,181,181,180,143,146,152,159,163,166,170,173,175,176,178,183,211,193,154,169,186,185,184,186,186,185,185,184,184,182,181,181,144,147,153,159,164,168,170,173,175,176,178,191,239,219,167,146,185,186,166,164,185,186,186,186,186,184,182,182,145,148,153,159,165,169,171,173,175,187,182,180,232,223,183,139,157,168,141,112,167,189,187,187,186,185,184,183,145,148,153,159,165,169,172,172,191,220,184,157,192,198,168,115,136,132,110,93,139,190,187,187,187,186,186,185,145,149,155,160,165,169,185,175,194,228,195,153,168,184,157,115,143,119,91,87,132,191,189,189,188,188,187,186,147,150,157,162,165,181,222,180,154,210,209,165,137,182,189,175,164,136,91,76,136,193,191,189,188,188,187,186,148,151,158,163,164,204,228,192,152,172,212,173,114,121,176,186,176,173,140,87,149,194,192,190,189,189,188,187,148,151,157,162,167,210,217,203,162,137,200,177,126,64,105,140,171,192,186,136,157,194,192,191,191,190,189,188,146,150,155,160,171,213,202,202,168,124,170,189,138,67,66,96,161,209,211,182,135,176,192,191,190,188,188,188,146,149,155,159,185,226,201,194,178,129,123,189,145,78,78,148,188,194,195,180,135,138,192,192,191,189,188,188,147,151,156,160,213,225,192,174,177,141,95,168,167,131,167,203,197,190,171,152,145,118,180,193,192,191,190,189,147,152,157,160,220,228,199,164,159,168,121,153,205,214,211,199,188,179,155,133,132,119,177,193,192,192,191,190,146,151,157,161,224,234,211,193,174,177,190,209,226,225,204,188,182,161,140,119,112,143,191,193,192,192,191,189,145,150,156,163,226,238,220,207,192,181,202,222,225,218,194,173,163,147,131,107,120,180,194,193,191,192,191,189,145,150,156,159,219,238,226,208,193,182,198,219,219,202,178,157,146,141,118,108,164,193,193,191,190,188,188,188,129,131,134,132,195,235,227,213,196,188,199,216,203,176,161,151,146,129,105,109,138,140,139,137,136,136,135,135,103,104,106,101,151,230,226,215,200,193,197,209,192,162,147,149,139,114,101,99,98,96,96,95,94,94,93,92,107,109,109,107,127,220,219,214,201,189,190,206,191,153,135,134,119,104,102,103,102,100,99,98,98,97,96,96,108,109,110,111,115,205,212,214,206,191,186,202,186,141,123,118,105,102,103,101,102,102,101,100,99,99,98,97,111,111,111,111,109,192,212,219,215,196,181,196,184,138,119,109,102,104,104,102,101,101,102,101,100,100,99,97,112,113,113,112,107,180,217,227,222,204,179,189,185,142,115,102,101,105,104,102,101,101,101,100,99,100,98,96,111,112,113,114,109,159,223,230,222,202,177,182,186,143,112,98,101,106,105,103,102,102,101,99,100,100,98,98,111,112,112,111,111,133,217,219,202,188,175,175,179,143,111,96,102,106,104,103,103,105,101,99,100,100,100,155,111,112,113,113,112,119,208,213,187,182,182,169,171,145,112,95,101,106,105,103,103,106,101,99,99,97,135,209
6,182,183,183,183,184,184,186,186,185,186,186,185,185,184,184,185,183,182,183,183,181,179,179,179,178,176,175,176,184,185,185,185,185,185,187,187,187,187,187,187,187,186,187,186,185,184,183,183,183,180,180,180,179,178,177,176,184,186,187,187,187,187,187,187,189,189,189,189,189,189,190,189,187,186,184,184,184,183,181,180,178,178,178,175,185,186,187,188,188,188,188,189,190,190,190,190,189,189,190,189,188,187,186,185,185,183,182,182,180,180,180,178,187,188,188,190,190,190,189,190,190,190,189,190,191,191,191,190,190,189,188,188,186,185,185,183,182,182,180,179,189,189,190,191,192,191,190,190,190,190,190,190,191,191,190,190,190,189,189,189,188,188,186,185,184,183,181,181,190,190,191,191,191,191,192,192,192,191,191,192,193,193,192,192,191,191,189,190,188,188,186,185,184,183,183,183,192,192,193,193,193,193,194,193,192,192,193,195,195,195,196,195,193,193,191,191,190,191,188,188,185,181,183,183,193,193,193,194,194,194,195,197,196,196,191,190,194,193,193,191,192,192,193,185,188,183,185,181,179,200,190,181,194,194,195,195,197,199,201,202,199,192,176,162,181,191,194,191,195,190,183,184,186,183,187,181,183,207,171,179,197,198,199,199,200,196,191,192,194,192,187,150,140,170,180,180,178,172,167,166,161,161,160,160,155,153,166,189,198,194,194,194,193,187,186,190,190,190,191,156,118,115,114,129,133,139,143,144,152,159,163,165,169,179,190,187,191,187,187,186,183,179,180,178,173,168,157,135,125,122,106,130,180,188,191,194,195,197,198,196,195,198,195,194,190,184,178,174,173,176,175,169,167,173,172,136,116,120,133,127,150,197,203,197,197,196,194,195,191,171,158,158,189,180,171,168,170,170,173,173,175,187,191,148,115,106,122,133,120,127,188,200,197,197,196,195,142,113,112,109,186,179,169,162,159,162,170,175,180,178,167,149,130,124,120,118,128,117,144,205,198,195,204,165,111,120,116,112,188,182,173,166,162,162,164,166,178,183,154,131,134,138,136,125,119,112,150,202,194,199,195,136,113,111,108,110,184,181,176,170,166,166,164,161,166,180,168,130,107,125,145,145,129,109,179,208,201,197,131,109,100,87,80,70,180,180,179,174,169,168,169,168,176,183,158,132,122,118,123,136,141,120,154,170,143,125,102,99,89,76,69,62,170,181,182,181,174,171,169,167,170,178,161,139,134,138,129,119,125,124,116,113,109,100,94,86,80,72,65,65,108,168,186,179,176,176,170,166,157,156,154,144,151,150,140,136,121,98,95,106,107,100,93,84,75,70,63,61,52,84,160,166,154,151,145,144,144,131,123,109,126,139,148,143,120,88,73,94,95,89,89,89,82,70,61,59,55,49,66,149,172,172,179,184,195,193,116,104,106,124,135,117,115,92,72,74,90,85,82,88,89,73,62,57,47,35,95,181,185,185,187,188,188,192,176,154,147,138,110,88,115,89,67,62,74,81,77,82,89,80,64,57,37,37,109,120,116,117,120,120,122,124,128,129,139,134,92,81,112,89,62,62,69,73,74,78,86,83,65,58,40,36,102,119,115,115,115,115,116,114,111,122,131,123,84,76,105,83,60,61,67,68,69,72,79,81,68,57,40,34,115,124,120,122,121,118,118,120,126,120,102,97,87,71,99,78,62,53,63,65,67,69,74,79,73,60,28,50,127,121,122,121,123,122,122,119,110,99,96,86,84,71,92,75,61,56,57,60,63,66,71,77,73,62
21,16,57,72,78,86,98,113,122,130,135,139,142,144,147,150,156,157,158,160,161,163,165,166,166,167,168,168,167,22,61,72,79,87,100,115,124,131,136,139,142,146,153,152,127,156,160,162,163,165,166,167,168,169,170,170,169,27,64,73,81,88,103,117,126,132,137,141,145,145,171,157,87,148,164,164,165,166,168,170,171,171,171,171,171,34,67,75,82,89,105,119,127,133,139,143,146,146,174,157,93,143,166,166,167,167,169,171,171,172,173,173,173,41,69,75,83,92,107,120,128,134,139,144,147,147,175,155,96,136,168,166,169,170,172,174,174,173,175,176,176,47,70,76,84,94,110,121,131,136,140,146,149,148,175,161,106,131,171,168,170,172,174,176,172,132,143,181,178,54,72,78,86,96,112,123,132,138,142,147,150,150,173,163,113,121,173,171,172,174,175,178,155,104,127,183,179,60,72,79,87,97,113,124,133,139,145,149,150,152,172,163,118,108,173,172,174,176,181,174,136,100,167,182,180,64,73,81,88,98,115,125,133,140,146,150,150,153,178,174,120,103,173,172,175,177,183,160,115,129,185,182,182,67,74,82,89,101,119,127,135,141,146,150,153,155,184,179,130,110,175,174,177,178,167,138,104,173,185,183,183,70,76,82,90,103,118,128,136,142,147,150,154,152,173,163,124,105,173,174,179,180,158,108,132,189,184,184,184,71,76,83,91,104,120,129,136,142,148,152,181,150,135,134,106,101,172,175,180,178,142,101,175,186,185,185,185,72,77,85,93,106,121,129,137,144,147,159,190,144,102,97,85,103,158,167,172,162,106,136,189,186,187,187,186,73,78,86,92,107,123,131,138,145,151,182,153,125,99,72,79,106,144,156,151,123,99,181,186,187,187,187,187,73,78,86,93,109,124,132,140,143,181,192,172,140,121,78,70,94,121,135,121,89,144,192,187,188,188,188,188,74,79,87,95,111,123,132,139,146,188,185,201,179,142,90,69,88,103,117,102,99,187,189,188,188,189,188,189,74,80,88,96,112,123,132,137,162,166,168,191,179,121,86,75,80,92,99,85,143,193,189,189,190,190,190,190,74,81,89,97,115,125,135,139,179,174,146,118,146,117,92,79,76,82,84,81,173,191,190,190,190,190,190,191,76,81,89,98,115,125,135,141,181,147,115,101,137,134,101,80,77,75,79,82,179,190,191,192,192,193,192,192,77,83,89,98,116,126,135,148,191,156,147,131,132,156,112,92,83,76,74,84,181,192,192,192,193,194,193,193,77,84,90,99,117,127,134,155,191,168,150,129,187,186,127,113,88,73,73,92,187,192,192,192,193,193,193,194,77,84,91,102,118,127,134,160,200,178,143,154,213,177,130,117,91,73,72,102,192,192,193,193,193,193,194,194,77,85,91,103,117,127,134,161,200,159,144,168,194,154,119,110,95,77,70,128,197,192,193,194,194,194,195,195,79,85,90,103,119,128,136,156,184,153,153,165,183,151,128,101,93,78,71,156,194,191,193,194,195,195,196,196,78,84,90,104,119,129,136,150,170,168,165,162,184,147,137,107,81,76,76,174,193,192,194,194,195,196,196,196,78,84,91,106,119,128,137,145,173,187,153,165,177,136,121,101,78,72,88,184,193,193,195,195,195,196,196,196,77,83,89,105,117,126,137,142,170,181,152,145,160,120,101,85,75,65,105,189,189,193,195,195,195,196,196,196,76,82,87,104,115,126,136,143,159,165,148,146,144,118,102,89,77,62,120,191,188,191,192,192,193,195,195,196
1,155,156,157,158,157,159,161,160,162,162,162,160,146,158,161,160,159,159,158,157,157,156,156,154,152,152,150,150,158,160,159,160,162,163,163,164,164,168,170,165,121,109,169,163,166,163,162,162,161,160,159,158,158,157,155,152,161,163,163,164,166,166,166,168,168,156,151,176,139,63,92,113,167,169,166,166,165,164,163,162,160,160,159,157,164,165,167,166,168,169,170,170,173,148,82,160,155,52,71,89,119,181,165,168,167,166,165,165,163,160,161,160,166,168,169,169,171,172,174,174,173,165,83,131,161,61,81,115,65,177,172,172,171,169,168,166,166,165,163,163,167,171,172,174,174,174,175,177,175,177,97,99,167,85,92,129,57,157,180,173,173,172,172,172,169,168,167,167,171,173,173,174,175,176,178,167,164,183,116,79,148,85,101,148,70,134,187,174,176,175,174,174,173,172,170,168,173,175,175,175,177,179,182,146,101,183,133,61,132,88,90,146,77,122,192,177,179,177,175,175,175,175,173,170,175,176,177,178,179,181,183,162,79,162,137,54,139,115,60,149,96,110,192,178,180,179,178,178,178,177,176,175,176,178,180,181,182,181,185,165,82,146,160,67,115,126,57,145,128,101,194,179,181,181,180,181,180,180,177,177,177,180,181,182,183,183,187,171,86,134,171,72,71,110,98,141,101,86,184,186,185,183,182,182,183,182,181,180,179,183,184,183,185,185,187,174,101,95,162,73,75,102,103,126,78,75,78,116,196,183,183,183,183,181,181,181,183,184,186,186,188,188,184,183,116,69,142,100,105,95,106,120,111,85,51,57,173,191,185,185,184,182,182,182,183,185,186,187,189,190,186,180,132,108,123,97,107,95,127,153,109,61,101,89,114,200,185,187,186,184,183,182,184,187,188,190,190,190,191,187,153,120,110,91,103,106,132,142,116,115,169,136,86,181,191,188,187,188,185,184,185,188,191,190,192,192,192,193,160,115,95,88,100,110,141,149,152,144,129,149,80,127,202,186,188,187,187,187,187,188,190,190,193,193,191,196,172,123,82,89,103,115,156,158,181,179,141,110,60,64,197,189,189,188,187,188,188,190,192,193,193,197,192,195,195,143,90,93,106,135,155,164,175,167,140,107,54,48,187,195,192,189,188,189,188,190,193,195,193,196,195,191,203,171,118,88,109,144,161,178,182,164,138,115,49,78,201,192,194,191,191,190,190,191,194,197,197,198,200,187,205,194,150,102,103,134,170,190,184,168,154,112,41,120,210,192,195,195,194,191,190,192,195,197,199,199,202,187,201,204,170,122,112,131,171,195,187,180,152,96,39,160,205,194,196,195,194,191,192,195,196,198,199,198,201,192,187,198,185,136,124,129,166,184,197,179,132,75,54,193,199,197,197,197,196,193,193,197,196,198,199,198,200,201,172,184,186,149,124,123,155,178,179,149,104,48,87,213,199,198,198,197,197,195,191,195,195,197,198,198,199,203,179,165,171,151,132,124,134,150,140,102,64,37,159,209,198,198,198,197,197,196,192,195,195,197,198,199,199,200,197,158,160,153,138,133,111,113,118,84,36,103,210,199,200,198,198,197,196,193,193,196,196,197,198,199,201,201,204,174,168,150,131,128,98,97,103,65,38,180,206,199,199,198,198,197,196,193,193,195,196,197,198,199,200,201,204,179,170,139,122,124,107,99,83,42,74,208,199,201,200,199,198,199,198,194,193,195,197,198,198,199,199,201,207,176,179,167,145,144,120,107,74,33,98,213,200,202,203,200,199,199,198,195
22,88,91,99,113,127,137,141,146,152,158,163,167,170,173,175,177,178,178,178,178,178,177,176,175,174,173,171,170,89,92,100,114,128,137,142,147,154,160,164,166,171,174,177,179,180,172,170,179,179,179,178,176,176,175,173,172,89,92,101,116,130,139,144,149,156,169,169,152,169,176,179,182,186,158,144,176,181,181,178,164,168,177,175,174,90,93,103,118,132,141,147,152,159,180,177,136,162,179,181,185,191,152,131,175,184,186,177,139,147,177,178,176,91,94,104,120,133,142,148,154,161,183,184,136,156,180,183,188,189,148,135,179,186,191,174,129,146,179,180,178,91,94,105,121,135,144,149,155,162,181,190,143,149,181,185,188,182,143,143,184,191,192,163,127,161,182,181,180,90,94,106,122,135,145,151,157,163,179,197,156,144,179,187,186,171,134,148,187,198,193,151,135,176,184,183,181,91,95,106,123,136,147,152,158,165,178,198,163,138,174,188,187,169,129,153,192,200,181,140,152,184,186,185,183,91,96,107,123,137,148,153,159,166,177,196,169,134,164,188,186,168,130,164,201,197,159,130,168,188,188,186,185,91,95,108,125,139,149,155,160,168,176,195,184,143,153,184,176,156,127,179,209,191,143,136,181,190,189,188,186,91,96,108,126,140,151,156,162,169,177,190,189,143,133,167,161,153,148,193,202,174,131,155,191,192,190,189,188,91,96,109,127,142,152,157,163,171,178,186,187,139,113,146,161,174,189,201,186,147,128,175,195,194,192,190,189,91,96,110,128,143,152,158,164,173,180,182,181,148,125,152,168,181,193,192,167,126,147,192,196,195,194,192,191,92,97,111,129,144,153,159,166,174,187,178,159,147,136,148,158,176,182,178,146,119,170,199,198,196,195,194,193,91,97,112,129,145,154,160,167,177,196,180,165,155,149,131,122,145,160,152,120,117,180,201,200,198,197,195,194,90,96,112,130,146,155,160,168,180,203,190,173,166,157,131,106,104,120,119,102,119,187,202,201,200,199,197,195,90,97,113,131,147,156,161,168,185,210,195,159,137,141,144,131,107,92,88,87,115,188,203,202,201,200,198,196,91,97,114,132,147,157,162,170,186,214,199,149,109,110,148,152,131,107,90,77,100,182,205,203,202,201,199,198,90,96,114,132,147,156,162,170,184,214,208,167,134,114,171,174,149,124,101,72,90,178,206,204,202,201,201,200,88,95,113,132,147,156,162,169,181,212,215,178,152,145,193,189,159,130,103,70,97,185,205,203,202,201,201,201,87,93,112,132,148,157,162,170,180,209,216,184,164,179,198,181,158,127,98,70,113,195,206,204,203,202,202,201,85,92,111,131,148,157,162,170,180,202,215,195,174,195,197,170,159,133,94,71,129,201,207,206,204,202,201,200,85,92,110,130,146,155,161,169,178,193,209,198,175,189,190,166,152,130,89,74,149,204,206,205,202,201,200,199,104,108,116,126,137,144,148,154,160,163,187,194,169,164,168,149,130,108,76,79,150,178,177,177,176,175,175,174,114,114,114,113,116,119,120,122,120,103,123,167,148,132,136,126,107,85,68,80,113,119,118,117,117,116,114,109,114,115,115,114,115,115,115,116,106,75,67,103,118,121,128,128,108,79,58,77,105,107,106,105,102,95,80,65,116,116,116,116,116,116,117,115,92,63,55,59,84,111,122,120,94,58,34,65,106,108,106,101,85,66,48,37,116,116,116,116,116,116,117,109,78,60,56,52,56,75,91,83,55,28,22,68,107,108,105,89,61,46,35,27
14,115,121,125,129,133,135,137,140,143,145,147,149,153,153,153,153,156,157,160,161,162,162,163,164,164,164,165,165,117,121,126,130,134,137,139,142,144,146,149,151,155,155,157,159,161,162,161,162,162,164,164,165,165,165,166,167,118,123,128,133,135,138,141,144,146,146,148,150,151,159,134,130,145,148,163,167,168,166,166,166,166,165,168,169,120,123,129,133,136,138,142,146,147,145,155,158,159,149,87,76,129,136,155,129,143,173,167,166,167,166,169,169,120,124,129,133,136,140,143,144,147,167,170,150,124,103,81,70,115,142,130,72,108,181,166,171,171,171,171,170,122,126,130,135,138,141,142,149,182,183,145,81,57,64,80,77,90,100,97,60,59,163,172,170,173,172,172,172,123,127,132,137,140,142,142,188,188,147,102,49,24,34,59,74,107,98,106,113,84,123,168,172,174,174,172,172,123,127,133,137,142,139,154,202,140,81,44,53,42,59,72,38,62,88,94,128,138,103,115,182,172,174,174,174,125,130,135,138,143,137,182,186,105,45,38,51,44,81,69,46,71,88,102,91,99,66,72,179,175,174,175,175,126,131,136,138,141,146,202,157,93,37,34,34,37,58,44,74,94,51,98,119,108,96,82,111,181,178,176,177,126,131,135,139,136,168,197,128,59,31,42,50,49,34,40,83,80,66,165,182,168,128,104,78,131,170,178,176,127,133,136,142,139,192,167,102,62,56,50,57,54,55,61,49,68,153,179,173,178,178,138,131,93,156,183,177,127,134,138,138,158,205,155,106,83,58,49,53,53,63,70,43,131,186,172,174,181,161,146,128,88,180,179,179,127,134,140,136,188,202,148,101,70,52,47,46,52,63,56,78,179,174,177,177,179,148,149,92,121,190,177,180,127,134,140,137,197,186,138,100,59,45,44,49,57,61,41,102,186,170,177,181,173,139,142,71,126,193,179,181,128,135,141,139,203,182,128,83,48,45,48,53,59,48,38,80,179,180,180,179,129,134,136,76,105,192,178,181,129,136,138,149,209,168,128,87,54,47,52,57,62,60,69,75,117,168,170,146,143,145,131,73,119,193,179,181,130,137,135,164,210,164,126,84,56,46,50,64,67,78,95,107,96,92,122,146,157,150,103,104,181,183,181,181,130,138,132,179,206,160,124,83,58,49,52,63,75,91,107,119,122,108,145,152,151,116,108,183,185,182,182,182,130,138,132,189,197,158,125,90,65,51,55,68,92,108,123,122,125,119,138,146,108,106,181,187,184,186,183,183,130,137,136,199,187,155,124,94,72,54,53,79,112,125,136,135,124,119,114,105,91,178,188,184,185,185,184,183,130,136,142,198,177,152,121,100,75,57,54,89,129,134,133,134,129,116,75,79,170,186,182,185,185,185,185,185,131,135,150,195,167,145,126,106,79,60,56,99,136,130,130,129,130,89,86,171,188,182,184,186,186,186,185,185,134,134,158,191,159,147,134,108,87,66,61,98,136,129,113,123,101,87,178,188,182,185,186,187,187,187,185,185,133,132,171,193,161,155,138,109,89,75,59,86,123,115,100,102,82,164,190,183,185,185,186,186,186,186,186,186,131,132,190,193,168,160,136,109,89,74,59,76,103,94,101,69,149,189,182,185,185,185,186,187,186,186,186,186,132,141,205,186,176,159,121,98,82,64,62,76,83,76,92,146,188,179,183,186,186,187,187,187,187,187,187,187,125,162,204,173,171,145,101,86,73,62,70,72,62,80,155,188,180,182,183,187,187,188,188,188,188,188,188,188
6,133,136,138,140,143,144,145,146,146,147,147,145,144,145,145,144,144,143,143,143,142,140,139,140,138,137,136,133,134,136,139,142,143,145,146,146,148,149,149,148,147,147,146,146,146,145,145,144,143,142,143,142,140,139,137,136,135,138,142,144,145,146,148,149,149,150,150,150,151,150,149,148,147,147,145,145,145,144,145,144,142,142,140,139,136,139,142,144,146,148,150,152,151,151,151,151,152,152,153,152,151,150,150,147,147,145,142,144,146,144,143,142,138,142,144,146,148,150,152,153,152,153,154,153,152,147,138,135,136,138,132,134,124,123,156,125,125,150,144,143,140,144,146,149,151,152,154,155,153,154,153,150,147,137,121,117,131,143,133,135,121,119,162,106,97,154,144,145,143,145,147,150,152,154,155,155,156,159,166,166,163,150,134,124,127,130,123,117,116,98,95,89,133,151,147,146,143,146,149,152,151,152,152,159,170,171,167,150,135,114,99,78,73,77,89,96,100,111,126,145,152,150,150,147,143,145,149,148,163,171,154,155,154,146,131,122,113,97,93,81,69,125,142,149,154,158,158,155,151,152,151,149,143,146,151,147,185,172,145,140,135,144,152,150,136,127,126,130,76,114,168,156,157,156,155,155,154,153,152,151,143,147,150,154,173,141,131,138,145,154,161,157,147,138,127,109,65,74,166,158,159,158,157,157,155,153,153,152,144,149,148,171,180,138,131,134,140,148,151,152,140,122,116,95,49,53,150,163,158,158,158,157,155,155,154,152,147,151,149,176,155,139,144,138,140,143,152,155,137,111,118,110,50,38,121,169,157,158,158,158,158,158,155,153,148,152,150,170,158,161,153,152,154,162,166,154,137,129,124,96,58,41,106,170,159,160,159,158,158,157,155,154,148,151,152,164,187,183,150,148,150,150,146,140,130,118,97,68,58,48,93,170,160,161,160,159,159,159,156,154,150,153,152,163,195,184,154,143,131,108,106,118,115,114,111,56,49,55,112,171,161,162,161,161,160,159,159,156,150,153,151,168,183,177,162,140,123,127,146,148,129,121,131,78,35,81,164,163,162,162,162,161,161,161,159,156,150,154,152,171,175,179,173,142,137,153,160,138,122,114,103,77,50,110,172,162,163,162,163,162,161,161,160,158,151,156,153,171,179,170,167,147,141,147,145,133,116,101,79,63,58,135,171,165,164,163,164,164,162,162,160,158,151,155,152,169,178,171,161,148,140,139,122,109,87,68,60,55,79,160,168,166,166,165,164,164,162,162,159,158,152,156,151,163,174,174,159,140,126,113,87,65,39,33,46,92,155,170,167,166,167,168,166,164,162,162,160,159,151,155,150,158,170,159,135,122,109,86,62,44,30,46,75,161,173,166,166,168,168,166,165,165,163,161,160,159,150,155,150,152,164,140,123,120,111,75,58,56,39,54,127,172,165,168,167,166,164,163,163,165,163,161,159,157,150,156,145,143,157,128,126,127,96,68,62,64,48,104,171,168,167,168,168,166,164,164,163,163,162,160,158,157,150,155,142,138,151,120,133,127,89,68,60,66,95,166,170,168,168,168,168,167,165,163,163,162,162,161,159,158,151,157,139,141,145,125,136,122,89,66,61,69,146,174,167,169,170,167,167,166,166,166,164,163,162,161,160,158,149,157,131,147,148,122,130,108,76,60,65,79,158,170,167,169,169,167,166,165,167,165,165,165,163,161,160,158,148,152,126,157,141,116,113,86,66,61,66,97,170,166,166,165,166,165,164,165,164,162,164,162,162,161,160,158
7,188,188,188,188,187,188,188,189,188,187,185,185,180,148,182,177,160,143,134,128,109,95,82,43,23,0,33,155,190,191,191,191,190,190,189,189,188,190,188,187,186,172,178,184,163,137,106,98,76,48,31,8,4,0,48,163,193,192,193,194,193,194,193,194,193,193,191,190,187,174,182,183,170,150,105,72,37,15,0,0,0,0,50,165,195,196,196,197,197,197,197,198,197,195,191,189,197,182,178,182,174,169,164,148,115,67,23,0,5,0,50,167,195,196,196,196,197,197,198,198,196,195,194,198,153,158,186,179,171,173,177,169,172,120,47,21,19,4,53,169,198,197,198,197,197,197,198,198,198,198,201,189,95,117,197,185,175,176,180,165,171,120,23,28,26,16,46,170,199,199,198,200,200,199,199,199,199,196,207,158,116,194,160,177,178,167,181,170,162,98,28,33,34,32,5,67,203,201,202,201,202,203,203,204,204,204,204,155,201,245,172,110,163,164,166,159,140,84,39,36,40,35,0,8,205,203,205,204,205,209,209,201,190,179,180,224,233,220,231,169,115,144,159,152,133,98,55,44,46,35,0,7,204,205,207,209,206,193,174,156,144,126,79,74,108,140,153,144,111,94,116,133,130,105,64,53,51,31,11,113,210,208,195,182,163,148,146,141,138,125,71,36,58,81,85,79,89,89,67,69,87,82,68,64,50,24,50,157,175,160,149,143,143,149,145,138,135,109,66,56,57,66,75,81,85,87,68,49,66,53,63,62,56,33,90,102,148,151,156,154,151,154,153,156,145,120,73,49,60,71,75,73,81,77,59,51,57,57,68,66,103,74,138,60,161,157,158,152,155,161,162,157,148,130,69,37,58,75,90,84,84,79,70,63,54,72,61,60,82,76,69,0,156,156,161,162,159,154,154,146,139,103,52,52,64,69,73,74,74,72,71,59,59,79,66,63,56,75,88,56,168,166,161,160,155,156,155,147,142,101,39,37,37,30,35,41,51,54,47,57,51,59,59,52,51,60,82,65,166,166,159,157,158,161,148,143,159,128,38,20,22,16,56,70,53,113,144,92,94,41,39,58,49,42,30,28,153,156,159,153,152,150,138,149,154,109,43,28,33,28,27,43,56,85,100,70,52,66,71,75,8,21,49,16,143,142,151,147,141,138,135,138,132,83,36,38,37,36,29,25,142,154,74,46,44,80,147,24,0,0,65,79,137,136,135,139,138,134,133,136,135,74,26,12,32,45,28,61,124,42,71,46,42,86,78,0,24,8,52,123,133,135,131,136,137,134,135,134,136,74,21,3,6,28,20,34,54,27,36,33,38,50,43,55,62,48,68,119,135,126,115,117,116,114,117,116,100,59,21,11,22,37,32,29,97,38,101,79,59,42,93,44,19,24,66,112,113,116,100,84,78,77,76,68,40,31,30,83,76,50,68,41,71,74,117,31,16,0,91,59,31,44,30,71,87,94,78,61,51,56,58,55,90,157,158,163,117,79,71,64,24,23,91,11,36,0,27,83,27,51,19,35,75,77,96,107,115,124,169,138,151,162,165,123,146,177,176,70,38,21,54,58,24,11,86,33,28,53,17,32,132,76,196,226,199,158,199,87,154,128,156,170,160,156,184,119,17,86,39,37,9,77,188,74,27,53,29,25,135,86,157,195,197,176,176,64,137,101,143,164,156,158,161,147,87,145,136,67,0,109,167,92,83,139,65,21,97,107,177,200,208,210,174,117,58,81,145,153,143,116,130,141,153,130,154,100,0,100,133,83,127,162,114,36
19,184,184,186,188,187,189,191,191,191,192,193,192,191,191,190,192,192,189,189,188,188,188,187,186,186,185,184,184,184,186,187,189,190,191,192,193,193,193,192,193,192,191,191,175,177,193,190,190,190,190,190,189,187,187,186,185,185,187,189,191,192,193,193,194,194,194,194,194,191,200,196,159,119,180,194,190,191,191,191,190,189,186,186,187,186,188,191,192,193,194,194,194,194,194,195,196,191,209,194,164,114,153,201,190,192,192,191,191,189,188,188,188,187,190,192,193,193,195,196,197,196,195,196,196,194,213,190,166,116,143,203,191,193,192,192,192,190,189,190,189,190,191,193,195,196,196,198,198,198,197,198,197,198,212,180,158,109,138,204,192,194,193,191,190,192,190,191,190,191,193,195,197,197,197,198,198,198,198,199,197,202,212,168,136,105,140,203,188,191,185,196,202,179,192,192,192,191,194,196,197,198,198,199,199,198,199,199,196,201,207,178,160,174,190,195,184,201,185,220,229,144,191,192,193,193,195,197,197,199,201,201,200,199,199,203,205,204,197,197,196,211,213,201,188,200,192,182,167,152,197,193,193,194,196,197,199,201,201,201,200,206,213,218,223,219,203,184,178,178,177,166,150,143,143,141,156,192,196,195,195,197,198,199,201,200,207,209,205,216,223,222,215,201,192,183,176,145,115,133,149,167,177,195,201,197,196,196,194,197,198,200,201,206,224,215,210,209,208,208,205,205,205,204,208,164,116,198,203,205,202,200,197,197,197,196,195,198,199,203,200,214,227,218,215,208,210,215,216,213,207,204,195,156,104,190,203,199,199,200,198,198,197,196,196,200,202,204,203,211,227,216,209,213,220,219,220,212,201,198,181,141,95,156,210,199,202,200,199,199,198,197,197,201,203,204,203,211,223,204,201,207,215,218,206,198,206,211,210,159,98,114,205,203,203,202,201,199,199,198,198,202,204,207,204,218,212,198,199,199,189,189,207,220,212,205,213,160,101,96,188,208,203,203,202,201,201,199,199,203,205,207,206,217,199,199,204,201,189,208,218,205,197,198,191,145,105,86,171,212,203,204,204,203,202,202,201,203,205,208,207,211,212,216,214,218,222,219,208,201,195,185,164,127,101,85,186,210,204,205,204,204,204,202,201,204,206,208,209,207,226,225,214,211,213,212,201,186,182,195,201,163,88,142,214,205,205,205,206,205,205,203,202,205,206,209,211,206,218,227,207,201,194,170,164,197,217,215,216,183,99,169,216,205,207,206,207,206,204,204,204,205,208,210,211,211,205,217,202,196,188,183,204,225,208,188,184,163,102,125,218,207,209,207,208,207,205,204,204,206,208,210,212,214,208,207,220,218,211,217,217,203,187,177,167,139,85,153,219,208,209,209,208,206,205,205,204,206,208,210,212,216,211,205,221,220,201,200,200,189,175,158,129,123,158,206,213,210,210,210,209,207,206,207,205,206,208,210,212,215,212,202,210,210,189,190,182,165,146,117,91,188,222,211,212,211,211,210,209,208,208,207,205,205,207,209,211,214,211,196,204,201,178,169,154,134,115,103,93,173,219,210,210,211,210,209,209,207,207,207,205,206,209,210,212,214,214,192,195,195,171,159,156,143,109,105,94,130,222,210,211,211,210,208,209,208,208,207,205,207,210,211,213,215,213,194,189,187,170,151,137,123,106,103,93,128,222,211,212,211,209,209,210,209,208,206,205,207,210,212,214,216,211,194,194,182,179,158,134,115,109,106,92,136,224,212,213,212,210,210,210,210,209,208,207
12,167,167,169,171,172,173,177,176,177,178,177,176,177,176,175,174,174,173,172,173,172,170,170,169,168,165,166,166,168,169,172,172,174,176,177,178,178,179,179,179,179,177,178,179,176,174,174,173,172,173,172,171,170,169,168,168,169,171,172,175,177,178,179,180,180,180,181,181,181,181,181,181,179,177,177,176,175,175,173,173,172,173,170,170,171,173,174,178,179,179,181,182,181,181,182,183,181,182,181,180,180,180,179,178,178,177,177,175,173,173,172,171,172,175,178,180,180,180,183,185,184,184,185,186,186,188,184,181,182,185,187,179,178,178,179,178,176,174,174,172,174,177,179,180,182,184,185,187,187,188,188,185,182,174,183,189,176,146,146,188,185,184,180,180,179,178,176,174,177,179,181,182,185,187,188,188,189,190,187,197,183,133,109,181,168,116,51,146,167,162,187,182,179,178,178,177,179,181,183,186,188,188,190,191,191,191,193,204,182,133,57,128,162,113,68,75,135,77,101,187,180,179,180,178,180,183,187,188,190,189,191,191,192,190,162,195,167,114,52,108,197,135,92,71,120,80,39,126,194,179,181,180,182,183,188,188,190,191,192,191,210,194,124,156,181,126,37,125,246,153,105,99,129,84,43,101,198,181,182,182,184,185,188,190,191,193,190,212,233,194,143,100,225,168,45,108,224,127,75,158,147,98,33,117,200,183,184,184,186,187,188,191,194,197,191,220,223,201,144,75,197,152,74,87,128,90,94,198,127,64,25,133,199,186,187,185,187,189,190,193,195,195,196,235,200,170,116,66,65,90,64,70,130,179,171,131,75,31,38,172,195,188,188,188,187,191,194,196,197,195,225,228,190,116,85,65,18,28,137,177,177,179,159,121,114,48,96,205,188,190,189,190,189,191,194,196,197,198,243,215,166,119,115,47,18,145,222,210,182,162,132,109,114,58,117,209,190,193,191,190,191,192,196,198,198,201,245,219,136,142,146,60,124,231,219,209,181,154,135,106,92,41,130,210,193,195,193,192,193,195,197,200,197,212,248,220,181,159,131,157,214,223,219,201,178,146,126,98,71,30,153,207,195,195,194,193,193,195,198,202,198,220,247,227,203,189,141,180,214,224,207,194,170,131,112,87,62,20,142,211,194,197,196,195,195,196,200,203,199,219,243,231,212,192,151,194,209,212,192,179,152,120,102,75,55,17,139,213,196,199,197,196,197,198,201,205,202,214,237,228,219,189,153,179,201,189,181,171,134,104,83,62,39,26,185,205,200,201,198,197,198,198,201,204,201,210,237,230,219,173,143,168,178,183,169,153,115,90,72,53,17,133,212,202,204,202,201,199,198,198,202,204,216,213,221,220,188,144,143,168,176,185,169,138,116,90,65,35,135,214,202,205,205,203,202,200,197,198,203,203,140,197,223,200,183,176,169,167,186,189,161,120,111,82,30,134,224,204,205,205,206,205,202,201,198,198,211,171,35,87,222,219,207,189,164,143,171,172,130,98,93,40,92,218,207,207,207,205,206,205,204,202,199,201,207,99,74,48,93,167,159,146,136,126,155,139,101,87,54,60,208,213,208,209,209,207,206,206,205,203,196,212,170,62,74,68,0,44,44,43,38,41,69,75,72,59,36,181,221,209,211,211,210,208,208,207,206,205,196,204,108,64,68,77,0,9,34,29,15,7,3,7,16,0,28,192,215,211,211,211,210,210,208,206,206,204,206,167,66,67,65,73,0,0,22,24,14,10,8,4,0,0,0,109,228,207,211,210,210,208,206,206,205,203
24,92,103,116,125,133,137,138,144,151,155,158,162,164,166,169,172,173,175,177,178,179,179,178,178,178,178,177,176,92,105,117,127,135,138,140,146,153,157,160,164,166,168,171,173,175,177,179,180,180,181,181,180,180,180,180,180,93,106,119,129,136,140,142,149,154,158,162,166,169,172,174,175,177,179,180,181,182,183,182,181,181,181,181,181,95,108,120,131,138,142,145,151,156,160,164,168,171,174,176,178,179,181,182,183,183,184,184,184,183,183,183,182,96,109,121,132,140,164,139,147,159,162,166,169,173,175,178,180,181,183,184,186,186,186,186,186,186,185,185,185,96,110,122,133,146,174,121,126,161,164,167,171,174,177,180,181,184,185,187,187,188,188,187,187,187,187,187,187,97,110,123,134,143,160,113,104,158,166,170,174,176,180,182,185,186,188,189,190,190,189,190,189,188,188,188,188,98,112,125,135,142,159,120,91,146,169,171,176,178,179,179,190,192,167,176,192,192,191,192,191,191,190,190,189,99,113,126,137,144,152,138,98,119,168,171,164,184,179,142,175,199,155,121,177,195,194,193,193,193,192,192,192,100,114,127,138,146,150,161,114,97,160,185,154,187,190,129,156,190,145,98,128,194,196,195,194,194,194,194,193,101,115,128,139,147,150,160,135,115,163,210,174,200,200,138,179,177,116,85,97,181,198,197,196,195,196,196,195,102,116,129,141,149,152,159,170,141,170,224,179,194,197,136,188,168,96,74,86,152,202,198,198,198,198,193,185,104,117,130,141,149,152,157,172,165,188,219,173,177,195,138,195,174,91,74,87,118,200,201,200,199,194,182,163,104,118,131,143,151,154,157,176,210,195,204,176,159,184,139,205,173,80,71,84,89,178,204,198,198,194,164,127,106,119,133,144,152,155,159,181,205,177,176,161,129,166,141,203,143,67,78,94,94,134,189,191,197,172,126,102,107,121,134,145,152,157,160,181,220,192,168,150,121,153,134,111,77,82,95,115,135,150,172,175,160,121,108,162,108,122,135,146,153,156,161,178,224,204,170,149,153,160,169,118,117,160,163,169,167,160,153,140,111,121,182,205,108,123,136,147,154,157,162,176,220,211,184,158,154,163,189,191,207,206,195,182,164,142,122,103,117,190,208,207,109,124,137,147,155,157,163,175,218,212,184,162,171,202,222,227,216,201,187,169,143,116,95,108,186,211,209,208,109,125,138,148,155,157,163,172,212,214,190,176,182,209,228,228,212,190,172,146,116,92,112,184,212,211,211,209,111,125,137,148,156,158,164,171,202,216,199,184,178,207,225,220,204,178,152,121,94,132,197,213,213,213,212,211,111,126,138,149,157,159,165,172,193,214,198,175,167,199,207,198,185,161,130,97,138,207,216,214,214,214,213,212,110,125,137,150,157,158,164,172,187,206,182,161,165,197,192,174,155,128,94,134,207,215,214,215,215,214,213,212,110,125,137,149,155,157,163,171,183,202,182,172,177,197,183,154,129,93,102,198,216,214,214,214,213,213,213,213,110,124,138,149,156,158,163,172,184,218,204,190,184,193,173,138,115,85,152,212,213,214,215,215,215,214,214,214,110,124,138,149,156,157,164,173,184,224,216,196,181,188,160,129,105,90,181,215,215,215,216,216,215,215,215,215,109,124,137,149,156,158,164,172,181,210,202,184,176,186,155,133,93,93,192,215,215,216,216,216,215,216,216,216,107,123,137,148,155,158,164,171,182,204,187,167,171,178,151,125,79,94,198,216,216,216,216,216,216,216,216,216
8,225,225,225,225,226,225,225,226,227,227,226,225,224,225,225,224,224,224,225,223,223,222,219,218,219,223,202,85,225,226,228,228,228,227,227,228,229,226,224,228,226,227,229,227,226,226,226,225,225,224,221,222,223,221,220,159,228,231,231,230,230,230,229,230,232,235,171,217,235,231,232,231,230,230,229,228,228,226,223,223,223,222,223,131,230,232,232,231,232,231,232,229,237,236,139,210,239,233,233,233,233,231,230,230,230,228,228,225,225,226,215,150,231,232,233,233,233,232,234,229,249,213,122,226,238,234,233,235,234,233,233,232,231,230,230,229,228,227,223,190,234,234,234,235,235,233,234,232,255,192,121,243,237,236,236,238,236,234,235,235,233,231,231,231,229,229,224,226,234,234,237,237,237,238,235,239,255,180,139,248,237,238,239,240,237,237,236,234,234,233,233,232,231,231,228,228,236,236,238,239,239,240,237,249,255,148,167,250,238,245,240,239,244,238,238,238,236,237,233,233,233,231,230,227,238,239,239,238,240,242,235,255,244,142,175,255,216,210,244,232,224,244,245,245,241,237,239,234,235,232,233,233,240,241,241,240,241,241,238,255,240,154,182,255,219,154,210,226,158,186,217,212,230,184,191,244,235,237,236,234,241,241,242,241,243,242,241,255,242,161,231,255,245,175,168,219,181,118,146,167,218,149,133,250,236,239,236,234,242,241,242,241,244,242,246,255,236,175,255,255,255,194,136,211,178,145,200,169,239,152,128,251,237,237,237,236,242,242,242,243,244,241,255,246,229,212,248,255,255,204,123,198,158,189,217,172,245,191,138,246,240,239,239,238,243,243,243,242,244,246,253,216,234,240,210,255,255,209,117,165,160,210,193,168,235,220,163,198,252,239,240,238,242,242,242,243,243,252,251,186,227,224,205,233,255,219,118,120,166,217,177,132,227,222,156,141,255,239,241,240,241,241,243,243,240,255,252,171,182,202,178,202,255,212,109,98,160,207,153,124,233,204,123,173,254,241,241,240,241,242,242,243,241,255,255,171,154,161,153,154,241,224,123,87,166,225,138,158,220,155,114,237,243,240,240,239,242,243,243,243,246,255,255,194,137,156,146,150,207,238,167,64,157,182,136,194,163,104,164,254,239,240,240,239,242,243,243,242,251,255,255,219,131,141,145,141,190,204,128,113,214,190,206,208,129,103,235,245,241,241,241,240,242,243,244,244,255,255,255,231,132,144,158,145,216,226,193,233,230,201,185,193,116,128,255,242,245,244,241,241,241,242,243,242,255,255,255,233,138,157,155,179,251,255,255,243,221,203,156,151,101,167,255,241,246,245,242,241,249,252,252,250,255,255,255,221,159,178,153,232,255,255,255,246,222,187,145,108,108,239,249,245,246,245,244,242,172,176,180,175,233,255,255,228,190,184,158,243,255,255,255,240,210,167,127,87,171,255,249,249,240,239,243,245,104,104,107,89,181,255,255,243,199,195,170,230,255,255,241,221,190,142,112,95,133,146,143,159,197,240,253,248,119,118,121,107,155,255,255,241,200,199,175,230,255,255,225,196,162,121,106,95,101,134,181,230,249,248,249,244,118,116,119,107,152,255,250,223,195,192,178,248,255,236,205,163,137,103,104,171,209,249,255,255,255,250,233,234,116,116,123,105,177,255,238,218,200,190,194,240,239,220,178,141,129,80,175,255,255,229,220,227,237,252,245,230,116,115,121,104,205,255,233,216,204,194,204,224,219,205,158,133,121,116,226,232,255,255,223,209,218,221,215,222
0,180,180,180,180,179,180,180,180,179,178,177,177,177,177,175,174,174,173,172,171,169,169,168,167,166,165,163,163,181,182,181,182,182,180,180,181,181,179,178,178,178,177,177,175,174,174,174,173,170,170,169,167,165,165,165,164,182,182,182,182,182,181,181,182,181,180,180,180,181,178,177,176,177,173,173,173,172,172,170,169,166,166,166,165,184,183,183,183,182,182,184,183,182,181,181,179,171,181,181,179,178,182,174,175,174,171,171,170,168,168,166,165,184,184,186,185,184,183,183,183,181,185,181,159,124,125,173,149,127,136,181,171,170,176,170,173,171,168,167,166,184,185,185,186,185,184,185,171,142,147,173,150,126,90,114,139,111,79,121,131,106,122,174,154,157,171,166,166,187,186,185,186,184,184,184,167,144,114,130,169,126,98,103,153,121,91,76,127,100,62,119,137,115,176,167,166,187,186,186,185,185,185,184,185,159,138,100,154,133,103,98,152,127,92,88,138,115,72,68,134,103,173,168,168,188,188,186,186,185,190,182,168,166,139,87,141,140,104,96,150,125,92,70,124,108,73,58,124,92,156,174,169,189,188,188,188,187,191,171,130,163,118,79,142,128,91,87,137,112,81,57,112,97,63,59,127,94,111,179,168,189,189,188,189,189,185,151,114,160,107,80,136,108,74,81,127,102,70,68,133,111,57,56,130,120,81,145,175,189,188,189,188,191,186,170,142,156,123,94,130,117,78,83,136,109,61,112,157,112,47,73,133,123,83,99,182,189,190,190,190,192,177,154,134,134,122,93,138,132,78,102,150,120,70,103,143,75,45,121,141,121,69,113,181,190,192,192,193,188,157,130,111,97,82,75,139,124,72,92,151,119,65,24,43,29,91,147,141,102,65,163,175,192,192,193,191,186,165,139,112,87,79,76,88,98,71,53,82,82,81,104,70,80,145,142,127,70,110,184,170,193,193,193,189,181,164,141,113,91,88,95,90,95,101,92,96,130,154,150,143,120,132,130,98,62,164,177,171,193,193,194,192,183,166,145,120,95,86,93,103,122,135,144,158,161,149,137,136,113,110,116,65,97,185,173,174,192,193,193,191,185,167,147,127,106,96,95,107,142,156,165,163,156,145,134,130,105,91,94,49,149,183,175,174,193,194,193,190,187,170,152,134,113,112,103,139,170,167,167,162,153,139,129,124,95,80,52,93,186,176,177,175,194,194,193,191,189,175,157,142,129,124,133,164,172,169,168,161,148,136,122,108,83,48,74,175,181,178,178,177,194,195,194,192,189,177,161,148,139,132,155,166,172,173,166,148,139,128,112,96,55,62,175,183,179,180,178,177,194,195,195,190,187,181,167,153,140,135,163,169,173,170,156,139,128,117,101,66,51,165,186,178,180,181,179,176,194,195,196,189,185,180,169,158,143,135,160,170,163,157,141,127,112,103,73,45,153,190,180,182,180,181,179,177,195,197,197,192,186,183,173,166,153,141,155,163,152,143,129,113,99,73,41,141,193,182,185,182,181,180,178,177,196,196,198,194,189,180,172,168,159,147,152,156,143,128,118,102,71,42,139,195,183,186,183,182,182,180,179,178,196,197,197,193,186,178,181,181,169,155,149,147,129,116,106,77,43,143,198,186,189,186,183,182,182,180,179,179,196,196,197,191,190,177,180,181,163,153,143,138,118,98,88,49,139,200,187,188,188,187,185,183,183,181,180,179,197,197,194,187,182,159,177,168,156,149,139,122,108,92,60,89,201,188,189,188,188,187,185,185,183,182,181,179
3,152,152,154,155,156,156,157,157,156,156,156,156,156,155,153,152,152,151,150,148,147,147,145,143,142,141,139,140,157,158,158,158,160,160,160,159,159,160,159,159,159,157,156,156,156,155,152,151,149,147,145,145,144,142,140,139,161,163,162,163,165,164,164,163,162,164,163,162,162,161,158,165,141,143,158,153,153,150,148,148,146,144,143,142,165,167,167,168,168,168,168,168,167,167,167,167,165,164,161,172,131,107,166,156,156,154,153,151,149,148,146,144,171,171,171,172,172,172,172,171,172,172,171,170,169,168,167,171,137,91,163,161,160,158,158,155,152,151,149,146,174,175,175,175,176,176,175,176,177,176,174,173,172,171,170,173,137,80,161,165,163,161,159,158,155,152,151,149,178,178,179,179,179,180,179,179,179,179,179,178,176,175,174,174,138,79,160,170,166,165,163,161,159,156,154,152,182,182,182,182,183,183,183,182,183,183,183,181,180,179,177,182,149,81,155,175,169,168,166,164,162,160,158,156,185,185,186,186,187,186,186,185,186,186,186,185,183,182,179,186,141,75,158,177,172,172,169,167,165,163,161,159,188,188,188,190,189,190,189,189,188,187,188,187,186,186,183,177,137,87,160,180,174,174,172,170,168,166,163,161,192,192,192,193,192,193,193,192,192,191,191,190,189,187,185,177,142,90,148,186,176,175,174,173,171,168,166,164,194,194,194,194,194,194,193,195,194,194,194,193,191,191,190,193,143,72,137,190,177,178,177,175,173,171,169,166,196,196,197,197,196,197,195,196,197,196,195,198,198,191,174,160,168,115,129,202,181,180,179,177,175,173,171,169,198,198,199,199,199,199,199,199,198,198,199,184,172,189,155,84,148,157,89,149,182,186,180,180,178,174,173,171,199,200,200,200,201,201,201,201,202,199,192,163,104,149,165,101,104,146,85,75,101,177,186,181,180,177,175,172,201,201,199,201,202,202,203,203,203,195,185,165,134,115,170,128,79,132,112,93,74,140,194,182,182,180,177,174,201,202,202,204,204,204,204,205,199,188,140,136,155,114,143,136,74,80,114,100,62,126,197,184,183,181,180,176,204,205,205,205,204,204,205,207,194,182,148,94,131,97,105,142,77,71,111,135,76,106,199,185,185,183,180,178,205,205,206,206,206,207,207,207,197,178,143,88,103,64,96,115,58,82,104,160,106,85,193,187,187,185,181,180,206,207,207,207,207,208,207,208,201,174,161,129,87,72,110,95,63,126,161,158,111,84,196,191,188,185,184,182,207,207,208,208,208,208,209,211,204,177,174,144,102,99,126,111,133,191,166,135,72,139,203,191,190,188,185,184,208,208,209,209,210,211,211,212,208,174,173,153,119,102,131,184,193,180,139,99,79,196,196,193,191,189,186,184,208,209,211,211,212,211,212,212,214,176,157,146,122,107,121,180,170,153,117,70,121,209,193,194,193,191,187,185,207,209,208,209,211,211,211,211,216,191,148,148,131,120,118,164,160,133,92,64,179,203,197,195,193,191,188,184,206,209,208,210,211,212,212,211,212,209,158,146,144,127,105,134,130,102,57,141,208,196,196,193,191,188,192,192,207,209,210,211,212,213,212,212,212,211,179,159,145,115,93,101,96,54,118,212,197,197,195,196,200,195,170,126,209,210,211,212,212,212,213,213,216,197,181,173,146,120,106,100,86,72,199,204,204,205,201,187,142,100,65,48,208,209,211,211,211,213,213,213,216,185,170,178,155,142,122,104,64,120,215,198,176,142,113,83,56,52,47,46
14,219,221,222,225,227,225,226,227,227,226,224,225,224,221,220,220,218,217,216,215,213,210,208,207,205,204,203,202,221,223,225,225,227,228,229,229,229,228,227,227,226,227,223,220,218,219,219,217,215,212,211,210,208,205,202,201,224,225,227,227,229,230,230,230,231,231,233,232,231,218,223,233,227,220,220,220,216,214,212,210,211,209,205,204,226,228,229,229,231,231,232,233,233,233,220,201,197,159,144,173,197,227,227,223,219,219,215,213,212,211,208,205,227,229,231,233,234,233,234,235,236,218,184,158,126,95,82,107,122,160,192,218,224,221,218,215,213,213,210,207,229,231,232,234,236,235,237,237,230,203,151,102,84,85,82,95,119,129,134,141,226,221,219,218,215,214,212,209,231,232,234,236,237,238,234,225,206,168,95,61,68,72,68,71,79,106,98,97,225,226,221,220,217,215,213,210,232,233,235,238,239,241,230,206,179,115,76,65,59,65,67,72,67,84,88,85,136,222,223,221,219,217,214,212,232,233,236,239,240,242,227,203,143,74,79,72,70,69,68,60,66,67,93,103,90,218,227,221,220,218,215,213,233,236,238,240,241,242,234,209,153,75,72,66,72,76,65,162,166,177,117,79,84,183,238,225,221,220,219,216,235,238,239,242,242,243,234,206,155,79,66,61,74,63,117,254,246,250,225,140,103,106,160,207,225,219,220,218,235,238,240,242,242,244,235,210,144,81,82,73,60,92,230,242,237,237,240,234,142,129,113,160,233,219,220,219,238,239,241,242,245,245,237,216,159,105,88,82,65,190,255,240,243,240,244,180,136,140,110,177,234,222,222,220,238,240,242,243,245,244,236,221,174,121,90,77,71,220,250,245,243,247,223,137,136,127,104,219,231,224,223,221,240,242,245,247,248,239,234,226,177,130,97,70,90,252,249,243,244,247,157,119,132,105,139,240,227,228,224,223,241,243,246,247,249,237,233,221,180,136,94,72,78,194,242,253,255,199,129,112,121,76,184,241,228,228,225,223,240,244,247,247,248,238,234,222,180,136,98,81,78,85,113,185,207,127,133,129,88,123,238,233,231,230,227,225,242,244,247,248,249,235,239,228,177,140,105,81,85,94,99,103,105,109,126,106,111,234,238,234,231,230,228,226,244,247,248,250,248,231,244,224,174,137,109,79,82,93,104,112,107,104,118,95,218,245,235,235,231,229,227,226,244,247,247,250,246,231,243,218,168,138,115,81,82,95,102,110,115,105,80,176,254,237,238,236,233,231,228,227,244,248,249,254,244,233,238,211,167,146,117,82,83,100,109,112,111,88,113,245,242,241,239,237,234,232,231,228,245,247,249,254,240,235,229,198,166,144,115,82,84,105,112,113,101,83,231,249,242,242,240,238,236,232,231,230,245,247,248,254,240,231,217,191,159,137,113,82,84,106,109,106,72,148,255,243,246,242,240,238,238,234,231,229,245,248,250,253,239,226,214,190,154,132,109,83,85,101,104,86,83,240,250,245,245,242,239,239,238,235,232,229,246,249,250,251,242,219,205,182,150,123,103,83,84,96,93,62,198,255,246,247,246,245,242,239,237,235,233,231,246,249,250,250,241,215,206,179,146,117,97,79,82,70,65,183,255,249,251,249,247,244,242,240,239,236,234,231,245,249,250,249,239,214,200,178,145,114,89,73,68,104,211,255,253,253,251,250,247,244,243,241,239,237,235,232,243,248,246,248,228,202,194,177,145,105,83,58,140,255,255,248,250,251,249,248,245,242,242,238,237,236,232,231
18,197,200,202,202,204,205,208,209,209,210,211,213,214,214,215,217,217,218,218,220,220,220,220,219,218,219,219,219,198,200,203,204,205,207,209,210,211,212,213,214,214,215,217,218,219,218,218,219,221,221,222,221,221,220,219,219,200,202,203,205,207,208,208,211,211,212,213,214,214,215,217,221,223,218,218,219,219,220,223,223,223,220,220,220,200,201,206,206,207,209,209,211,213,213,214,214,217,216,218,207,202,224,219,222,221,221,223,223,222,223,222,222,200,202,207,206,207,209,210,211,213,215,216,217,221,217,229,204,157,191,226,221,221,225,222,221,222,223,224,224,200,203,206,207,207,208,211,212,212,215,217,210,195,216,221,216,161,119,202,225,203,193,217,225,223,224,222,223,200,201,205,207,208,209,213,214,214,218,231,212,172,175,227,200,177,132,146,186,178,161,165,231,223,224,223,223,201,202,206,207,208,209,211,210,204,232,233,211,179,157,242,217,203,169,134,139,164,159,124,212,228,224,224,223,202,204,206,208,208,207,224,214,170,211,235,206,176,175,240,239,221,178,139,125,149,149,115,183,235,224,225,224,203,204,207,209,206,222,244,214,166,196,236,205,166,192,230,233,219,179,135,113,130,140,111,185,235,224,226,225,204,205,206,209,206,229,246,215,167,184,236,209,156,206,231,231,215,176,133,103,117,127,110,202,233,224,226,226,205,207,207,208,210,220,236,218,170,173,235,207,144,173,217,239,211,170,129,104,110,113,124,219,230,225,227,226,204,207,209,206,217,233,217,215,180,156,216,194,143,106,186,246,203,164,123,107,104,104,149,235,226,228,228,229,204,206,209,211,223,215,195,186,173,124,165,164,131,67,203,248,201,157,120,107,109,107,165,237,224,228,228,230,205,206,206,220,235,201,188,160,142,113,137,152,101,115,248,233,197,159,124,101,109,107,179,238,227,229,229,229,206,209,206,222,243,213,191,167,162,115,138,152,169,233,247,224,191,160,127,111,114,117,214,233,228,230,230,230,207,210,204,234,240,211,191,172,164,145,150,203,255,234,220,215,186,151,123,115,104,140,237,227,229,229,229,229,208,207,208,248,232,211,192,175,172,174,194,255,253,227,201,200,176,139,120,118,113,201,234,227,227,228,228,226,208,206,217,252,227,211,202,184,181,176,240,255,246,219,187,187,165,128,123,113,184,236,227,229,229,229,228,227,209,205,226,252,226,219,211,184,186,218,255,252,234,211,180,173,155,125,112,158,237,227,229,230,230,229,229,229,209,206,227,253,229,224,215,186,207,246,248,243,227,196,172,162,144,118,124,223,231,229,229,229,230,230,230,230,209,207,222,249,233,227,214,195,219,245,237,224,221,185,166,153,134,108,181,237,228,230,230,230,230,230,230,230,210,208,220,249,235,225,212,208,218,241,224,217,200,182,154,144,122,129,231,229,230,230,230,231,232,230,229,230,211,206,224,245,228,218,209,213,217,231,212,214,185,176,145,136,108,173,241,228,231,231,231,232,232,231,229,229,210,205,230,231,214,212,206,212,220,219,200,212,195,160,140,129,112,213,233,229,230,231,231,232,232,232,230,229,210,207,232,212,205,209,207,209,221,212,200,212,194,154,135,113,152,239,226,231,231,231,231,232,232,231,230,230,209,207,241,225,215,216,219,217,225,206,197,201,178,148,126,122,218,232,231,232,232,231,232,232,233,231,230,231,207,210,250,235,217,221,226,222,228,190,188,188,162,140,113,188,239,229,231,231,232,233,233,233,233,232,232,232
24,181,183,185,186,186,187,188,188,188,189,188,188,188,188,187,186,185,185,184,184,183,181,180,180,179,178,177,176,182,184,187,186,188,188,189,190,190,189,189,189,189,188,188,188,187,186,187,187,184,183,183,182,182,180,179,178,183,185,187,188,189,190,190,191,192,191,191,192,192,191,190,189,188,189,187,186,186,185,184,184,183,182,181,180,185,186,188,189,191,191,191,193,193,192,192,192,193,193,191,191,190,189,187,188,187,187,186,185,184,183,182,181,186,186,189,189,190,189,192,194,194,193,193,193,193,193,192,190,190,189,189,189,188,187,187,186,186,184,183,182,187,187,190,188,201,177,157,198,194,195,194,194,194,194,193,192,192,191,190,190,190,189,188,187,186,186,185,183,188,189,192,189,208,160,143,201,194,195,195,195,195,194,194,193,193,192,190,190,190,190,189,188,187,186,185,185,188,189,191,192,205,141,155,202,194,196,196,196,198,195,193,193,193,192,192,191,191,190,189,189,188,188,187,186,190,191,192,197,203,140,164,203,196,197,196,195,192,198,196,194,194,194,193,193,192,191,190,189,188,189,187,187,191,192,193,200,202,138,167,208,197,197,202,200,174,150,195,197,194,195,194,194,195,194,195,192,189,189,189,188,192,193,193,202,191,153,171,181,201,169,170,202,188,148,134,196,197,195,196,194,186,175,168,186,193,190,190,189,192,195,194,205,200,204,199,175,213,174,137,193,197,158,106,153,203,196,193,177,146,133,121,147,198,192,191,189,192,196,195,204,203,221,200,193,213,186,134,188,193,149,107,123,197,195,188,154,123,124,146,171,194,192,191,190,194,197,197,205,199,227,204,203,219,182,120,155,163,128,92,103,179,195,174,136,121,180,198,196,193,193,192,192,195,199,197,209,222,224,197,205,226,172,126,82,125,154,132,141,176,177,146,123,168,205,195,196,195,194,193,192,196,199,198,213,218,208,180,169,197,149,112,110,184,199,187,178,175,151,122,143,202,197,199,197,197,195,194,193,196,198,203,211,191,193,172,139,135,138,176,215,211,195,182,166,158,144,123,190,202,199,200,198,198,196,195,194,197,197,207,223,200,188,177,162,133,214,228,215,208,193,170,155,144,133,158,207,199,201,199,198,199,196,195,195,199,196,213,228,208,189,175,184,219,234,218,213,203,182,160,142,139,134,196,205,201,201,200,199,199,197,196,196,199,197,220,231,212,201,202,224,235,227,220,208,192,170,144,141,125,157,210,203,204,201,201,200,200,198,198,197,199,198,224,232,217,209,221,234,233,223,217,198,177,152,141,133,132,201,206,204,204,203,201,201,200,200,199,198,201,198,224,238,220,210,226,232,220,205,199,182,158,144,134,129,191,210,206,206,205,204,203,202,201,201,200,198,201,198,219,240,223,208,217,219,211,191,180,165,146,137,132,191,212,206,207,206,205,205,203,203,202,201,200,199,201,201,212,225,211,208,220,221,212,192,179,157,137,118,182,216,209,209,208,206,207,206,205,204,202,203,200,200,201,203,207,212,207,214,218,211,208,186,169,148,114,140,215,210,211,209,209,207,207,207,205,204,203,203,201,200,202,204,205,217,225,218,213,203,205,183,161,136,106,179,217,211,211,210,210,209,207,207,206,206,204,202,202,201,202,203,205,228,226,206,212,203,194,177,159,127,116,203,215,212,211,212,211,209,208,208,207,206,205,205,203,201,200,202,204,233,225,197,217,198,185,177,154,129,118,205,214,211,211,211,210,209,207,207,206,206,205,204,203,201
1,214,217,220,221,224,225,225,226,229,228,229,230,229,226,230,233,228,230,231,230,229,229,230,230,229,229,228,228,217,220,223,224,226,228,229,230,231,231,230,232,234,238,214,196,234,231,232,232,230,231,231,232,233,232,229,229,222,224,226,229,230,230,230,230,232,233,232,235,222,242,230,130,235,242,232,233,233,233,234,234,235,234,233,231,224,227,227,231,232,233,233,233,235,239,234,255,208,188,241,126,200,215,236,236,238,238,238,237,238,237,236,235,226,229,231,234,235,237,237,237,238,240,234,255,204,182,243,132,161,166,184,251,237,240,239,240,241,240,238,238,228,231,233,235,237,237,240,240,240,241,240,255,208,185,255,166,161,198,138,250,240,241,241,242,241,241,241,240,231,234,235,237,239,240,242,241,243,242,217,255,227,170,255,190,152,209,134,229,248,244,245,244,242,243,243,241,233,236,239,240,239,241,245,244,245,255,171,222,252,158,244,202,161,233,162,199,254,245,248,247,247,246,245,244,235,238,239,241,243,245,246,246,249,255,160,211,252,158,225,215,171,252,198,168,255,247,249,250,249,249,247,246,236,239,241,242,246,247,250,248,252,255,168,214,250,162,231,232,168,225,233,155,239,255,252,251,250,249,249,248,239,241,243,245,247,248,253,249,255,255,170,227,255,183,213,253,165,200,252,165,208,255,252,252,253,252,252,252,239,242,244,246,248,250,253,251,255,255,168,217,255,177,172,248,158,200,255,183,177,255,252,255,255,254,254,252,241,244,247,248,250,252,254,252,255,254,194,173,255,144,158,239,158,177,255,204,159,255,255,255,255,255,255,253,241,244,247,249,251,252,254,252,255,255,185,138,248,223,202,193,218,230,201,183,151,246,255,255,255,255,255,255,243,246,248,251,254,253,255,254,255,247,185,190,189,255,207,209,250,214,180,189,141,212,255,255,255,255,255,255,246,248,249,251,255,254,255,255,255,245,235,229,158,224,232,255,254,230,178,173,153,157,255,255,255,255,255,255,246,249,252,253,254,255,255,255,255,238,222,210,164,221,255,255,232,255,242,187,148,128,255,255,255,255,255,255,245,249,251,255,255,255,255,255,255,232,201,192,225,242,231,208,172,255,255,254,197,115,228,255,255,255,255,255,245,248,249,253,254,255,255,255,255,242,190,194,183,178,168,159,201,255,255,251,219,158,201,255,255,255,255,255,245,247,249,250,254,254,255,255,255,255,189,188,187,187,205,241,255,255,248,233,189,150,180,255,255,255,255,255,246,248,251,252,254,255,255,255,255,255,200,194,215,212,255,255,255,255,243,220,179,115,179,255,255,255,255,255,247,248,252,255,255,255,255,255,255,255,224,205,229,209,255,255,255,255,237,205,170,110,171,255,255,255,255,255,245,248,251,255,255,255,255,255,255,255,244,220,249,207,255,255,255,255,228,192,159,110,193,255,255,255,255,255,246,247,250,254,255,255,255,254,255,255,255,238,255,208,245,255,255,255,219,183,147,115,234,255,255,255,255,255,253,254,255,255,255,255,255,255,255,255,255,255,252,226,219,255,255,248,212,175,134,121,255,255,255,255,255,255,209,214,220,227,229,232,238,240,244,255,255,255,242,229,196,255,255,236,199,163,126,145,255,255,255,255,255,255,126,131,134,135,136,139,143,145,141,255,255,255,234,219,191,252,255,221,183,155,132,145,208,210,211,213,244,255,135,137,138,138,140,139,139,143,124,230,255,244,229,216,195,228,242,214,172,152,141,131,130,129,158,225,250,255
1,42,0,14,28,35,43,62,78,89,95,99,103,104,108,112,116,122,119,122,125,127,128,127,130,131,129,131,131,33,0,20,29,36,46,64,80,91,97,101,103,107,109,119,114,85,124,127,126,126,129,128,130,131,132,132,132,20,0,25,29,38,48,70,84,91,98,103,106,108,108,135,117,41,105,107,128,128,130,131,132,132,132,132,132,8,0,27,30,39,49,72,86,92,99,105,106,116,107,124,112,54,104,61,120,133,132,133,134,134,134,134,133,0,0,28,32,41,52,75,87,95,101,107,104,135,95,101,106,60,118,61,109,138,132,134,135,136,135,134,136,0,0,29,33,42,55,77,88,95,102,107,108,141,83,110,108,65,120,60,97,141,133,136,137,137,136,136,137,0,5,30,34,43,58,79,89,95,102,109,113,144,69,106,104,62,124,70,94,142,134,137,138,139,139,139,139,0,13,32,36,45,61,81,90,98,102,127,95,129,63,110,105,61,115,66,91,146,137,140,141,140,141,140,141,0,18,31,37,47,64,82,92,96,116,120,75,119,66,134,105,59,125,75,85,148,139,142,142,142,142,142,142,0,23,32,38,46,66,84,93,96,136,101,70,111,72,142,93,66,149,82,86,148,140,143,144,143,144,144,144,0,26,32,39,49,70,86,94,102,147,80,87,118,72,119,67,66,141,70,90,149,142,145,146,145,146,146,146,0,29,33,41,51,70,87,93,112,148,63,86,97,56,107,53,83,135,62,94,150,143,147,146,147,148,147,148,0,30,33,42,52,71,88,90,125,146,58,72,105,98,96,118,124,124,61,97,152,145,148,148,148,149,149,149,4,32,35,43,54,74,89,90,140,128,70,77,130,116,94,120,111,110,56,95,155,146,150,151,150,149,149,150,10,33,36,44,56,77,88,94,152,138,120,113,141,133,120,104,93,86,51,94,156,146,149,151,151,152,151,151,14,33,36,44,56,79,85,109,164,122,113,116,106,106,141,138,116,90,47,92,156,147,151,152,153,154,153,153,20,33,38,45,58,81,82,132,156,100,80,76,50,74,138,135,129,110,56,85,159,147,151,153,153,154,154,154,25,33,39,47,60,84,83,145,147,100,96,103,93,138,148,137,113,95,53,56,156,151,153,154,154,155,156,155,28,34,40,47,62,85,85,144,153,115,101,106,142,174,153,130,100,66,49,33,137,158,154,156,156,156,156,156,30,33,40,47,64,84,86,137,164,131,112,106,142,177,155,119,93,55,39,31,133,160,155,157,157,157,157,157,32,34,42,48,65,83,87,127,166,131,116,107,133,169,146,114,83,56,32,49,155,156,156,158,158,158,159,159,32,35,43,50,68,85,92,116,159,129,122,111,118,154,138,109,75,55,27,98,165,156,159,159,160,160,160,161,33,35,44,50,69,85,95,107,148,135,131,121,136,148,120,91,64,47,37,140,160,159,160,160,161,162,162,161,32,35,43,51,70,85,94,104,133,135,128,115,125,132,102,76,60,37,58,160,158,161,161,161,162,163,164,163,32,36,42,49,70,84,96,104,119,132,123,114,100,104,91,71,62,31,77,164,158,161,162,164,164,163,163,163,32,35,42,48,69,82,94,103,109,130,124,111,102,101,100,83,61,28,104,163,155,159,161,162,163,163,163,162,32,34,40,48,70,81,93,100,129,136,127,125,114,102,94,81,53,26,118,163,155,159,161,162,163,163,163,163,32,33,39,48,69,81,93,103,154,149,104,126,115,99,75,64,51,20,102,164,154,159,161,163,163,163,163,163
1,128,130,133,134,134,136,137,136,136,137,138,138,140,140,140,140,140,140,138,139,140,140,139,138,137,139,138,137,131,135,138,137,139,139,140,140,141,143,142,142,142,144,143,144,143,144,145,142,141,141,142,142,141,140,138,138,137,140,140,141,143,144,144,145,146,146,147,148,147,146,149,147,150,137,137,149,146,146,145,144,143,142,141,140,142,145,144,147,147,148,148,150,150,152,152,151,153,153,114,140,169,131,79,158,150,149,149,148,146,146,145,145,145,149,150,153,152,151,152,153,153,155,157,154,164,167,73,133,175,116,72,156,146,156,153,151,150,149,148,147,149,152,153,156,156,156,156,159,157,158,155,146,177,152,73,147,170,92,94,155,89,138,162,154,154,153,153,152,153,154,155,157,161,161,160,162,161,166,148,99,155,130,77,165,164,77,115,167,73,117,170,157,157,156,156,155,156,157,158,162,164,163,165,164,162,177,145,81,133,126,87,176,168,87,137,169,73,118,174,160,162,159,158,158,159,161,163,166,168,168,166,169,166,180,124,82,130,116,98,167,151,84,156,164,67,125,174,164,165,164,163,162,162,163,167,168,170,171,171,171,169,186,119,93,116,99,79,159,126,80,173,165,73,138,176,170,169,168,167,165,164,166,170,170,172,171,173,174,172,186,108,87,116,109,70,177,121,97,183,148,76,152,177,172,171,171,170,169,167,170,172,173,173,174,174,176,178,190,120,74,117,111,73,181,115,113,183,135,73,166,179,174,173,172,171,170,169,173,175,176,177,178,178,176,180,192,126,58,96,78,61,153,84,143,188,136,83,181,180,178,176,175,174,172,171,173,177,179,179,180,180,178,185,192,130,86,130,146,125,154,130,116,169,123,97,191,179,180,179,179,178,175,175,177,177,179,181,182,182,180,193,188,140,108,89,149,179,171,170,104,105,105,113,195,182,184,181,180,179,178,176,179,179,180,183,184,185,184,202,174,125,94,62,72,108,134,186,163,81,45,137,197,183,185,183,182,181,180,179,180,183,184,185,187,187,187,208,177,124,81,72,76,81,126,201,197,126,38,160,195,186,187,186,186,185,183,180,182,185,187,187,189,185,193,209,171,118,87,86,93,140,166,163,188,146,65,169,195,188,188,187,187,186,187,181,183,185,188,189,191,186,196,205,167,123,87,100,104,173,191,166,142,121,65,129,203,188,191,190,188,187,187,182,183,187,189,190,193,188,199,206,171,128,104,103,134,200,189,157,129,86,48,137,207,191,192,192,192,189,187,185,186,188,190,190,192,191,199,204,170,129,117,101,154,209,192,143,111,73,44,170,204,194,194,194,193,191,188,186,189,189,191,192,192,193,197,199,170,141,127,103,151,209,180,129,97,57,69,195,197,195,195,194,194,194,191,187,190,190,192,193,194,194,195,194,172,147,140,98,155,199,158,115,82,45,136,208,196,197,197,198,198,195,195,187,191,194,192,194,196,197,198,199,176,149,139,98,165,181,146,109,65,61,190,202,199,198,198,198,198,196,196,188,192,195,195,195,196,195,197,204,177,156,126,100,158,146,127,95,47,106,213,199,202,201,201,200,199,197,196,189,191,193,196,196,198,190,197,204,197,167,122,114,145,124,114,83,46,167,210,201,204,204,202,202,200,198,197,188,189,191,194,195,194,188,201,200,196,167,130,128,132,118,103,57,101,208,203,204,204,204,203,203,202,200,199,190,191,193,193,194,189,191,189,173,176,158,127,124,109,104,69,63,184,209,204,204,204,204,203,202,201,200,199
22,87,91,97,107,116,123,129,132,136,141,145,149,152,154,157,159,159,161,161,161,161,161,160,159,159,158,158,157,88,92,98,108,117,125,131,134,139,143,147,151,154,156,159,160,161,163,164,164,164,163,163,162,161,161,160,159,89,93,99,109,119,127,133,136,141,146,151,154,157,158,161,163,164,165,166,167,167,166,166,165,165,164,164,163,90,94,100,111,121,130,136,138,142,148,153,157,157,160,163,165,166,168,169,168,169,170,169,168,167,166,166,166,90,94,102,113,123,133,138,140,145,150,159,168,147,153,166,168,169,171,173,162,154,170,172,172,166,153,161,168,90,94,103,114,125,134,139,142,147,152,167,182,137,143,167,170,172,176,180,149,127,166,176,178,161,124,146,169,91,94,103,116,126,135,140,144,149,155,172,191,142,139,169,172,175,181,180,135,122,170,181,183,152,117,152,173,91,95,104,117,128,137,141,145,152,157,173,197,154,139,170,176,178,186,176,125,137,180,191,176,133,128,168,176,92,96,105,118,130,138,143,147,154,159,175,203,165,137,169,178,181,184,162,118,153,188,193,165,127,152,178,179,93,97,107,120,131,140,144,149,155,161,174,201,171,135,164,180,186,187,150,114,171,197,178,142,133,172,182,181,93,97,107,120,132,141,146,151,157,163,173,201,183,143,159,182,193,192,139,121,196,206,166,124,151,182,184,183,93,97,108,121,133,142,148,152,159,165,172,198,191,150,151,180,191,183,130,146,210,199,149,126,171,186,186,185,94,98,109,122,134,144,149,153,160,166,171,187,186,142,131,169,184,184,168,190,204,173,125,140,184,189,188,187,95,99,109,123,135,145,150,154,161,168,172,174,180,144,142,177,189,196,203,205,186,141,116,165,191,190,189,188,94,99,111,124,136,146,151,156,162,175,180,162,170,156,158,188,191,200,204,196,163,118,136,187,194,192,190,190,94,99,111,125,137,147,152,156,164,186,190,170,161,155,146,158,177,194,193,174,141,113,158,195,196,194,192,192,95,99,112,125,138,148,153,158,166,186,191,184,176,166,134,110,134,162,165,145,123,111,171,198,198,196,194,194,95,100,113,126,139,149,154,159,166,183,190,177,172,159,133,110,100,107,118,115,106,110,179,201,199,198,196,195,95,100,113,127,140,149,155,160,166,186,192,174,155,145,145,134,112,95,90,86,91,105,178,202,200,199,198,197,95,100,113,128,140,150,156,160,167,188,212,189,154,145,155,157,136,115,102,81,72,95,174,202,201,200,199,199,95,100,113,128,141,150,156,160,168,187,219,194,170,170,187,189,157,132,112,79,62,89,176,203,202,201,200,200,95,100,114,128,142,151,156,161,168,184,219,201,182,196,215,206,171,138,112,77,61,98,184,204,203,202,201,200,94,100,114,129,142,152,156,161,169,182,215,208,189,200,217,197,169,137,109,78,62,112,194,205,204,203,202,201,93,100,114,129,142,151,156,162,170,179,208,216,198,196,213,188,170,146,110,78,63,121,199,207,206,204,202,201,91,99,114,129,142,151,156,162,170,178,200,217,202,187,204,187,166,147,109,74,66,135,202,207,206,205,203,202,90,98,114,129,142,151,155,162,170,176,189,209,199,174,184,174,151,130,95,68,76,159,205,207,206,204,203,202,89,97,113,128,141,150,155,162,169,156,144,184,187,155,152,148,127,105,80,67,96,182,207,207,206,205,204,203,88,96,112,128,141,151,156,163,164,113,71,147,172,141,139,140,124,99,79,69,113,195,209,207,207,205,204,204
23,224,227,228,230,232,232,235,237,237,238,238,240,240,241,242,241,243,243,241,241,241,240,240,240,239,239,240,240,226,229,231,233,234,235,239,240,240,240,240,243,244,246,247,246,243,241,243,243,243,243,242,244,243,243,243,243,227,231,233,235,236,237,240,241,241,243,243,244,247,246,244,245,255,255,255,255,237,238,248,244,243,245,245,246,229,231,235,236,236,238,241,244,244,244,244,247,246,255,255,255,255,255,255,255,247,234,222,178,237,247,247,247,232,234,236,237,238,240,242,245,246,244,248,245,255,255,255,255,255,255,217,183,190,181,160,191,250,248,250,249,232,234,236,238,240,242,242,245,247,247,249,240,255,255,255,231,230,187,177,223,214,207,229,255,250,250,250,250,234,235,238,241,242,243,246,247,248,249,251,242,255,255,255,194,165,201,245,255,255,255,255,252,251,251,252,252,235,237,240,243,244,247,249,248,249,251,251,250,255,255,255,205,212,255,255,255,255,238,255,252,253,253,253,253,237,240,242,243,246,248,249,250,253,255,248,255,255,255,255,184,226,255,255,255,255,189,255,255,255,255,255,255,238,241,243,245,247,246,249,253,255,255,246,255,255,255,255,238,255,255,255,255,245,172,176,208,255,255,255,255,240,242,244,248,248,249,252,254,255,255,249,255,255,255,255,255,255,255,255,255,255,255,189,124,228,255,255,255,242,245,248,249,250,253,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,229,138,184,255,255,255,243,246,249,251,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,200,143,139,230,255,255,245,248,249,252,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,222,137,130,176,255,255,247,248,251,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,233,147,122,194,255,255,249,251,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,249,241,200,150,129,237,255,255,250,251,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,230,229,221,207,199,192,149,160,255,255,255,251,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,192,159,140,155,200,191,144,203,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,205,152,59,134,202,187,143,242,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,188,103,102,167,189,160,154,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,190,112,129,168,152,134,191,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,201,144,114,131,143,138,212,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,197,159,108,134,155,140,232,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,199,171,130,145,160,146,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,205,173,142,156,159,165,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,201,172,150,157,144,207,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,191,174,161,153,151,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,210,187,178,170,141,204,255,255,255,255,255,255
20,109,113,116,119,121,123,125,126,128,129,130,130,130,129,133,134,132,134,134,134,134,135,135,134,134,134,133,131,113,117,120,123,125,127,129,130,132,134,134,134,132,147,114,122,140,136,136,137,137,137,138,137,139,138,136,135,116,120,123,126,128,131,133,134,135,136,137,138,138,169,96,91,139,139,139,140,140,140,141,141,141,140,138,137,119,123,127,129,132,135,135,137,139,140,141,140,144,170,99,79,109,110,150,142,143,143,144,144,143,142,141,140,122,126,130,133,135,137,139,140,142,142,144,144,148,167,96,100,130,79,152,146,146,146,146,147,146,145,144,143,126,129,133,135,138,140,142,143,145,145,147,147,151,169,100,113,142,72,143,151,149,149,149,150,149,148,147,146,128,132,135,138,141,142,144,146,148,149,149,148,155,174,105,114,154,76,138,157,152,152,153,152,151,151,150,149,130,134,137,140,143,146,148,149,150,151,153,149,162,171,105,113,165,84,130,161,154,155,156,155,154,155,154,152,133,135,139,142,145,148,150,153,154,155,155,152,170,174,109,119,166,91,119,165,156,158,158,157,157,157,155,155,135,137,142,145,148,151,153,155,157,158,156,129,160,187,107,124,176,99,111,169,158,161,161,161,160,160,158,156,136,140,143,147,150,153,155,156,151,164,178,132,116,138,88,112,180,106,110,171,160,163,163,163,162,161,160,159,139,143,146,148,152,156,157,162,152,134,176,157,94,72,58,96,152,106,108,172,163,166,165,164,164,164,163,161,140,145,149,151,154,158,158,169,177,131,133,157,119,113,87,83,120,102,103,175,166,167,167,167,166,166,165,163,142,146,149,154,156,160,162,160,156,134,102,147,137,150,133,78,78,92,94,174,166,168,168,168,168,167,166,167,144,148,151,155,158,162,164,158,127,131,87,157,138,142,138,86,55,63,90,176,167,170,170,170,170,169,168,168,146,150,154,156,159,163,164,166,158,133,107,110,98,68,140,113,67,44,83,177,170,173,173,173,172,171,169,169,146,150,154,158,161,165,165,174,151,103,71,42,44,31,118,147,92,50,65,175,174,174,174,175,173,173,171,170,148,152,155,159,162,166,168,174,154,119,86,69,68,72,137,174,121,73,58,166,177,174,175,176,175,174,174,173,149,152,156,160,163,166,167,176,169,125,93,85,98,144,186,165,125,92,62,162,180,175,177,178,177,176,176,175,150,154,157,161,164,168,168,177,172,134,103,105,117,173,186,154,110,82,66,172,180,177,177,178,177,177,176,175,150,155,159,162,166,169,168,177,180,151,125,113,123,181,170,140,99,66,71,179,179,178,180,180,179,178,177,177,152,156,161,164,168,169,169,176,185,159,128,123,128,182,163,126,92,64,75,182,180,181,182,181,180,181,179,177,152,156,161,164,168,170,170,171,179,156,141,145,129,179,158,113,82,60,85,184,180,182,182,182,181,181,181,178,151,156,160,163,167,169,170,169,164,157,142,147,123,169,142,105,76,54,97,190,179,181,182,182,182,182,181,180,152,156,161,165,167,169,170,171,167,158,141,143,111,147,123,90,76,52,117,190,179,180,182,182,182,182,181,181,154,157,161,164,166,169,170,170,172,162,134,123,91,126,105,86,78,59,158,186,180,181,183,183,183,182,181,181,153,158,161,164,166,169,171,168,174,163,136,108,97,133,96,94,64,99,187,181,182,182,184,183,183,182,183,182,153,158,162,164,167,168,172,167,176,172,149,126,121,133,87,89,54,152,185,181,182,184,185,184,183,183,183,181
13,197,201,206,209,211,213,215,217,219,222,222,222,223,225,225,226,226,226,225,224,223,221,219,218,218,217,215,214,198,202,207,210,213,214,216,220,221,224,225,224,225,226,226,226,226,228,227,227,226,224,222,221,220,220,218,215,198,203,209,212,214,215,218,222,225,225,227,229,228,230,231,233,235,229,229,234,232,225,225,225,223,221,220,219,199,205,210,213,215,218,220,223,226,226,228,231,231,231,226,197,195,237,226,197,202,231,227,227,225,224,223,221,200,205,211,215,216,219,222,224,226,227,230,233,231,234,217,175,132,180,200,159,109,176,239,226,227,225,225,222,201,207,212,216,218,219,223,226,228,230,231,233,231,241,243,197,170,108,164,176,119,107,238,230,229,227,226,224,202,207,214,217,218,221,225,227,230,232,232,233,234,237,252,207,169,102,135,175,129,89,223,235,230,228,227,225,204,209,214,218,219,222,227,230,231,233,235,236,237,236,236,206,156,107,101,145,114,79,216,238,230,230,230,228,203,209,214,219,221,223,228,231,232,235,236,237,232,245,229,205,151,118,89,132,108,79,219,238,232,232,231,229,203,211,216,221,221,225,228,231,234,236,238,225,169,159,162,189,186,141,99,150,128,92,233,237,235,233,231,229,205,212,217,219,222,226,229,232,235,236,250,213,152,127,112,185,224,164,106,137,133,71,201,246,234,235,233,231,205,211,217,221,224,227,230,233,236,232,217,208,169,161,111,116,206,152,97,112,108,81,123,245,236,235,235,233,206,212,219,223,225,228,232,231,236,220,141,146,197,168,143,62,75,68,90,110,103,123,95,187,251,234,234,234,205,212,218,224,225,227,230,237,255,199,150,117,179,180,149,106,36,59,76,108,143,146,119,115,246,238,236,234,205,212,219,224,226,229,230,250,225,189,169,149,132,180,154,133,62,79,132,143,161,151,131,89,223,245,237,235,207,214,219,224,226,228,233,254,197,182,180,153,120,155,158,121,68,79,175,195,183,135,122,90,225,245,238,237,208,214,220,226,227,229,235,250,206,149,150,144,120,99,124,90,68,99,189,192,185,142,98,106,245,241,240,238,208,215,221,226,229,230,236,237,215,178,135,113,82,48,94,112,90,146,213,188,176,140,81,139,255,240,241,237,209,216,221,227,229,231,235,239,236,205,162,126,105,93,108,121,131,220,216,180,158,133,74,181,255,242,242,239,209,217,223,228,229,234,235,235,232,216,184,167,141,138,156,180,210,229,201,171,144,120,77,219,252,243,243,241,209,216,224,227,228,233,235,237,227,207,186,160,135,135,164,230,221,207,184,159,134,101,93,247,248,244,244,241,209,217,223,227,228,232,235,240,212,193,185,161,143,144,153,208,212,198,170,142,125,84,120,255,246,247,244,242,209,217,223,229,231,234,237,244,219,197,186,165,158,151,151,202,209,195,161,127,114,64,177,255,247,247,244,242,209,217,225,228,230,233,236,243,240,198,185,177,162,145,141,181,195,177,140,111,86,84,245,252,249,246,244,242,210,218,225,228,229,232,236,241,247,226,191,176,157,145,136,160,178,161,125,107,63,166,255,247,248,246,245,243,210,217,225,229,229,234,237,240,243,248,213,176,152,138,140,149,168,157,125,101,75,232,255,250,249,248,245,242,209,216,224,228,229,231,236,239,242,243,226,191,171,162,166,160,164,160,120,86,122,255,248,249,248,245,244,242,207,214,221,226,227,230,235,237,242,234,232,202,189,186,177,168,164,150,115,78,167,255,247,247,245,244,243,241
18,85,91,95,101,109,116,122,129,133,134,136,138,143,146,149,151,155,156,158,159,160,161,163,164,165,166,168,171,88,92,95,102,109,117,123,129,133,135,137,139,145,142,144,152,154,154,157,161,162,163,164,165,166,167,169,171,89,93,96,103,110,118,125,129,134,135,134,152,159,125,113,141,165,145,124,149,163,164,165,166,167,169,170,172,89,93,98,105,113,118,123,138,161,130,120,170,157,136,125,159,176,139,106,97,147,167,167,167,170,172,172,173,89,94,98,106,113,120,122,175,180,135,124,178,150,150,154,164,150,130,120,93,102,164,167,168,170,172,174,175,90,95,97,105,129,139,122,179,178,146,138,157,146,143,144,143,123,132,130,115,87,141,169,171,172,174,175,176,91,95,99,111,184,161,126,128,182,155,142,113,134,121,118,110,114,144,139,130,104,101,164,172,173,174,176,178,92,96,96,140,203,177,150,120,161,169,138,98,133,128,94,68,126,153,152,147,125,91,119,172,175,176,178,179,92,96,97,164,183,186,171,131,117,165,138,101,109,150,113,62,98,148,159,163,136,107,87,139,177,177,177,179,92,96,99,165,144,174,163,126,88,126,128,95,78,118,101,66,91,154,177,170,141,113,94,98,172,176,178,179,92,96,106,176,138,142,130,97,73,82,95,79,54,73,73,127,173,174,167,159,137,116,98,93,169,180,180,181,92,94,113,191,163,151,123,82,62,62,77,67,36,56,137,191,185,171,156,137,121,107,94,109,176,180,181,182,93,94,129,193,161,142,123,86,57,55,79,64,41,121,198,201,185,165,145,119,103,95,88,136,181,181,182,183,93,92,141,210,179,156,134,102,73,70,77,74,113,190,205,200,180,154,134,111,95,87,91,164,181,182,183,184,93,93,137,220,194,177,159,133,116,115,110,128,181,204,204,190,167,142,121,104,89,81,112,178,181,183,184,185,94,95,133,222,203,183,161,142,135,136,138,171,201,202,195,174,153,131,114,98,87,82,143,181,182,184,185,186,95,96,128,219,206,184,165,152,150,149,159,185,197,194,176,158,141,122,106,96,86,91,167,181,183,185,186,186,95,97,118,210,207,190,174,165,161,161,171,183,186,181,157,142,127,113,99,92,81,116,178,181,183,185,186,186,94,99,108,193,209,199,188,176,165,162,165,172,167,163,145,128,116,105,95,89,84,154,181,181,182,185,186,187,94,99,105,166,211,207,202,187,167,153,145,150,148,146,136,117,105,98,91,80,111,176,182,182,183,186,187,188,95,100,106,134,204,203,199,188,165,145,134,134,138,140,131,112,100,94,87,77,146,180,181,182,184,185,187,188,95,101,108,116,177,192,179,172,158,139,130,130,131,136,132,115,101,94,79,93,170,179,182,183,186,186,188,189,95,100,109,114,143,187,170,155,143,129,131,132,121,130,129,112,97,91,73,118,178,180,182,184,186,187,188,189,94,99,110,119,126,171,156,145,141,135,146,142,120,122,127,112,96,87,72,132,180,181,183,185,186,188,188,189,93,100,111,119,122,155,159,153,154,144,144,143,121,113,121,112,98,86,67,122,182,181,183,185,186,188,188,189,90,99,109,117,122,143,175,167,161,145,137,139,123,107,113,108,96,88,69,101,178,180,182,184,185,187,188,188,91,99,108,117,124,135,188,181,166,148,134,136,126,107,102,104,97,88,74,81,171,180,182,184,185,186,187,188,91,99,108,117,124,133,189,188,168,147,131,132,129,105,99,104,95,87,77,74,161,180,183,184,185,187,187,188
7,84,110,125,133,139,145,149,149,151,155,158,160,160,161,162,163,164,163,164,162,160,160,158,157,156,154,153,151,86,112,126,134,141,146,150,151,153,156,160,161,162,162,163,164,166,165,164,163,163,162,160,159,158,155,154,153,88,114,127,136,142,147,150,153,155,158,161,162,164,165,166,167,167,168,167,166,165,163,162,161,159,158,156,155,89,115,128,137,144,148,152,155,158,160,161,162,165,167,168,168,169,168,167,168,167,165,164,164,163,160,159,157,90,116,128,137,145,149,153,155,158,161,162,164,166,168,169,168,168,168,169,168,169,168,168,167,163,162,160,158,91,117,128,139,145,150,154,155,158,161,163,165,168,171,173,174,175,176,174,172,169,165,160,159,165,165,162,160,92,117,129,138,145,151,155,159,162,166,169,167,166,162,155,146,131,129,125,129,113,101,132,136,128,166,162,162,93,118,129,139,146,151,154,144,136,129,128,126,118,103,98,103,74,84,89,82,83,85,130,126,100,170,167,163,96,120,131,141,146,155,137,102,93,101,103,109,107,96,86,76,72,73,76,71,77,72,72,66,95,142,158,167,97,121,128,140,152,148,125,87,77,84,82,84,86,88,89,93,94,74,81,93,84,79,73,66,72,99,99,157,98,120,134,145,145,131,116,92,75,72,83,95,105,108,107,101,90,62,69,92,76,64,63,53,62,88,70,145,96,134,144,139,130,125,122,110,105,107,113,118,106,103,98,91,68,53,54,56,49,45,46,47,53,68,108,168,135,147,138,136,136,133,114,86,75,81,93,92,83,78,64,52,47,67,86,108,125,141,150,156,163,167,173,170,155,144,142,141,135,114,101,58,50,68,65,49,39,61,118,142,160,171,184,188,187,185,183,180,178,174,171,170,149,146,144,132,109,104,87,51,47,40,26,13,20,33,63,80,174,185,178,178,178,177,177,176,175,173,172,170,148,149,134,115,104,96,89,79,57,33,31,36,34,28,19,0,100,194,178,182,180,180,179,178,178,175,172,171,150,138,114,103,97,93,107,111,76,38,36,40,38,36,37,16,106,196,180,182,180,181,180,179,178,175,173,171,133,112,94,92,91,89,94,89,52,30,28,23,28,29,30,7,63,192,182,183,182,182,180,179,177,177,176,171,105,96,91,90,83,72,75,60,36,21,8,17,33,36,33,15,95,187,181,183,183,183,179,178,177,177,175,172,99,95,92,86,75,56,49,51,48,30,29,44,46,38,16,112,195,183,183,183,183,182,180,178,178,177,175,172,92,80,70,63,56,52,59,72,65,42,33,27,28,32,96,182,181,182,182,181,181,180,179,178,176,175,173,170,81,71,68,65,62,63,67,71,52,25,45,91,126,163,185,178,179,180,179,179,179,178,178,178,176,174,171,170,78,73,73,68,59,54,49,38,33,87,160,183,184,180,177,179,180,180,180,179,179,179,178,177,177,176,172,170,52,56,53,48,43,40,53,95,140,176,175,172,174,176,177,179,180,179,179,179,179,178,177,177,175,174,171,170,17,0,48,100,102,123,150,165,165,164,168,171,175,176,177,177,178,178,178,179,179,178,178,177,174,173,170,169,5,0,87,161,154,162,162,161,165,170,173,176,178,179,181,181,180,179,180,179,176,175,176,174,170,169,169,168,0,0,97,129,116,116,116,116,115,115,114,110,109,110,110,109,106,102,102,101,96,94,92,88,85,81,56,47,0,0,62,68,67,71,69,69,72,71,68,69,69,71,71,68,67,66,65,65,65,64,62,60,59,25,0,0
2,150,152,153,154,157,160,160,160,160,160,159,160,159,159,157,153,153,155,153,154,153,152,151,151,150,149,147,146,152,154,156,157,159,160,160,161,161,161,160,162,160,156,160,176,187,178,157,149,151,153,154,152,152,151,150,148,153,154,156,160,160,160,162,162,162,162,163,159,162,181,205,209,194,183,183,133,109,106,132,154,152,152,151,149,155,156,158,159,161,163,163,162,164,164,160,172,217,204,204,203,175,143,132,101,73,74,67,136,158,153,151,151,156,158,160,161,162,164,165,165,164,167,156,207,215,197,205,164,118,88,83,74,72,74,56,117,161,151,153,153,157,159,161,163,164,165,166,167,167,164,167,226,213,200,150,103,67,59,65,64,74,75,97,148,158,155,155,154,159,160,161,163,166,167,167,169,168,161,185,235,209,140,86,68,55,68,72,111,148,147,159,161,159,157,155,156,160,161,163,166,167,168,169,170,172,161,196,231,183,102,59,66,64,72,128,166,165,164,161,160,158,158,158,157,161,163,165,167,167,169,169,170,172,165,222,216,142,73,50,58,60,78,169,163,161,162,162,160,159,159,158,157,162,165,166,167,169,170,170,173,166,189,233,167,91,50,48,44,58,83,167,165,165,164,163,162,161,160,159,158,162,165,166,168,170,172,172,172,173,229,206,129,76,61,65,56,47,101,174,165,166,165,163,162,162,161,159,159,163,166,168,170,172,172,175,167,214,239,180,121,87,78,74,71,55,121,177,165,167,166,164,163,163,162,160,160,165,167,169,171,174,175,175,176,246,226,164,110,82,86,77,76,64,128,177,166,168,167,165,164,165,165,160,159,167,169,170,173,174,176,171,196,253,208,142,98,85,85,75,78,70,132,179,168,169,168,168,166,165,167,166,162,168,170,171,175,176,180,169,220,249,192,128,90,81,78,74,80,72,139,180,170,170,170,170,170,168,158,146,155,169,170,173,176,177,178,176,246,236,178,123,88,77,77,78,81,65,136,182,171,171,170,172,167,149,148,109,113,170,172,175,177,181,172,204,255,217,167,116,84,73,75,73,73,59,107,185,173,173,174,170,145,154,133,93,154,173,174,176,178,182,175,238,247,204,159,112,80,71,69,68,75,68,72,176,177,175,177,140,142,151,92,130,173,174,176,178,182,176,196,255,232,194,150,105,77,68,64,71,80,80,61,127,190,174,135,127,149,112,91,168,167,175,177,178,183,175,221,252,220,182,143,103,75,66,67,73,76,81,75,71,115,126,123,139,129,91,113,176,167,176,177,179,182,179,239,241,209,179,141,100,76,65,74,75,71,75,78,73,75,115,147,136,106,101,156,173,168,177,178,182,180,192,244,229,205,179,135,102,82,70,83,81,80,85,86,83,99,135,145,122,106,161,176,171,170,178,179,183,178,217,243,224,212,183,141,114,88,75,92,96,101,98,98,91,104,137,117,110,164,180,175,172,170,178,181,182,183,241,243,227,212,186,150,120,93,82,101,109,114,101,96,95,102,106,116,172,180,176,177,173,171,179,183,181,195,247,239,225,208,171,135,118,98,88,103,113,114,104,97,90,93,115,175,184,179,178,176,175,173,179,185,174,216,241,231,219,188,145,115,105,98,97,108,110,106,102,87,116,163,180,183,180,179,178,178,174,171,181,179,199,242,227,213,190,151,116,109,104,96,98,102,101,98,88,125,184,188,182,182,181,178,178,178,174,171,179,188,246,228,208,194,168,121,111,112,106,101,99,94,93,100,145,189,187,183,184,183,181,180,179,178,175,174
12,152,153,155,157,157,158,158,159,163,164,162,166,169,167,166,167,169,169,169,170,168,169,168,168,168,168,169,170,153,155,156,157,158,159,158,161,163,160,164,158,152,168,170,162,151,159,170,169,169,171,171,169,169,169,170,170,155,155,156,158,159,159,160,163,161,183,186,148,115,119,184,160,132,108,163,176,173,172,172,171,170,169,170,170,155,157,157,158,160,160,164,158,181,217,192,142,127,95,175,153,135,109,113,137,148,171,171,170,171,171,172,171,154,156,157,158,160,161,163,160,200,185,185,157,159,100,149,169,149,111,87,122,103,114,175,172,174,174,174,173,156,157,159,160,160,163,162,167,211,159,168,172,151,103,137,180,155,104,98,133,117,73,152,182,173,174,175,173,158,159,160,161,164,164,162,177,217,158,173,149,120,82,71,145,121,89,111,148,126,86,147,181,173,175,174,173,158,160,162,163,162,167,157,150,187,118,162,155,130,90,51,81,75,59,163,164,124,87,163,178,175,177,175,174,159,160,163,161,167,189,161,130,115,101,131,159,151,151,131,123,106,67,134,137,98,86,177,175,177,177,175,174,160,162,164,158,198,205,170,146,104,103,127,134,132,151,156,155,155,111,64,74,75,107,186,176,177,176,175,174,161,166,158,181,205,198,184,154,117,104,137,122,97,120,125,157,179,148,102,55,61,137,188,176,177,176,175,175,162,165,158,210,183,183,190,162,126,99,99,111,92,95,105,171,182,171,147,84,60,161,184,179,178,176,175,175,162,159,179,204,154,142,178,165,138,111,89,101,91,107,129,169,176,178,169,122,77,173,181,181,178,177,177,176,162,158,196,191,170,147,141,172,143,110,90,102,90,104,114,157,183,172,174,151,96,175,182,180,178,178,178,177,162,159,205,198,179,150,111,158,151,110,92,89,92,106,130,146,161,178,158,164,107,152,188,177,180,179,179,180,160,161,199,170,141,119,94,110,164,126,117,82,104,108,151,178,164,164,152,143,123,112,189,179,181,180,181,181,160,164,208,183,161,139,120,101,141,150,150,103,112,130,178,183,179,162,143,129,121,98,186,181,181,182,181,180,164,164,214,193,166,144,133,112,107,136,129,117,127,171,195,185,179,161,142,123,101,114,190,180,182,182,181,181,165,167,216,195,171,154,140,114,110,138,107,121,155,194,195,185,176,160,145,123,88,131,192,181,183,183,182,182,164,170,220,198,177,162,148,121,114,147,126,150,187,205,194,182,170,158,144,122,82,144,191,182,182,183,182,182,164,175,226,198,177,167,155,137,118,139,143,164,203,207,194,179,165,156,141,117,79,162,188,182,182,182,182,182,160,177,228,200,183,171,157,152,130,135,156,165,212,201,189,176,163,155,134,109,87,176,187,183,184,183,182,182,162,174,222,204,193,174,162,156,145,131,162,164,213,196,180,174,163,152,131,100,97,185,182,183,184,184,183,183,167,169,210,209,199,183,169,163,155,135,160,166,207,194,171,166,161,147,129,91,118,192,181,184,184,183,183,183,168,164,201,214,199,186,174,170,159,140,148,162,200,190,168,164,159,138,124,82,149,191,181,185,186,184,183,183,168,162,192,219,200,191,180,170,158,145,144,150,188,187,165,160,153,138,116,86,173,187,184,184,186,185,184,184,168,163,182,223,205,190,179,166,152,146,147,145,172,178,155,151,149,141,99,106,191,182,185,185,185,184,184,183,167,162,185,227,200,182,175,163,150,142,146,146,162,168,151,146,149,135,86,143,193,182,185,186,184,184,185,183
0,197,200,203,205,207,209,210,212,213,213,214,213,213,214,214,214,214,213,213,212,213,212,211,211,212,211,208,207,199,200,204,206,208,211,213,214,215,215,216,216,217,215,215,216,215,215,215,214,214,213,213,212,212,212,211,209,200,202,205,207,209,212,214,214,215,216,217,218,219,217,218,219,218,216,217,216,214,214,214,214,212,212,211,211,203,204,207,209,211,214,215,216,216,218,219,220,220,223,219,219,220,222,218,216,215,216,216,214,215,214,212,212,204,206,208,210,213,216,217,217,220,223,222,217,214,201,218,221,190,189,221,221,218,216,218,217,216,215,213,213,205,208,209,212,215,216,218,218,222,209,210,245,212,156,154,228,187,121,185,214,209,199,179,222,217,216,214,214,207,209,210,213,216,217,218,220,231,196,155,228,232,185,136,226,199,150,104,127,174,216,139,212,222,217,217,216,206,210,212,214,216,218,217,227,248,230,177,160,241,189,138,224,202,153,98,154,172,220,164,154,225,217,220,217,207,210,213,215,218,220,219,241,239,238,207,128,205,197,129,220,210,142,122,183,140,212,199,143,169,224,219,218,208,211,214,216,217,219,224,241,193,230,197,109,165,203,132,216,201,122,122,179,107,180,214,182,127,173,230,217,211,214,216,217,219,215,237,245,186,220,167,101,164,180,121,188,172,111,116,168,115,210,239,195,123,145,231,217,212,214,216,218,221,219,245,238,200,213,151,101,160,152,109,152,150,108,112,153,133,236,230,187,108,187,229,220,213,214,216,220,220,226,255,223,176,181,169,107,140,144,102,142,142,86,160,173,189,229,209,150,116,225,223,222,214,216,219,223,222,227,255,240,200,150,132,88,152,170,104,161,153,138,203,194,196,210,171,111,161,237,222,223,215,217,220,223,221,232,255,236,214,180,130,106,139,147,100,140,208,228,208,195,166,166,144,96,205,233,226,224,215,218,221,224,221,240,255,233,217,199,167,126,127,154,168,216,241,227,200,185,154,128,120,104,226,229,228,227,217,219,222,226,223,243,255,236,217,201,182,134,129,171,222,251,242,220,188,173,140,116,90,151,240,227,229,229,218,220,222,225,222,239,255,241,218,206,196,153,140,166,234,248,240,209,178,157,126,99,100,225,233,229,230,229,219,221,223,226,223,234,255,245,223,207,200,170,143,176,244,249,226,194,162,138,114,83,181,240,229,230,230,229,219,222,223,228,226,231,255,247,229,207,194,172,142,188,241,237,206,183,151,124,88,138,242,231,232,230,231,231,218,222,224,228,227,231,255,242,227,209,187,166,149,205,223,206,195,173,140,103,92,220,237,234,234,233,232,231,220,222,224,228,226,231,255,241,231,210,181,162,170,207,188,184,178,152,125,81,179,244,233,235,235,234,233,232,219,222,223,228,220,245,255,245,242,213,185,171,185,199,169,174,155,135,90,139,243,237,238,236,236,235,234,232,220,223,226,224,225,255,255,246,240,207,183,178,188,178,165,161,144,107,115,234,242,238,237,236,236,235,234,233,219,222,227,220,244,255,235,237,232,194,175,182,175,162,156,143,115,105,216,243,240,238,237,237,237,236,234,234,219,221,224,214,254,243,213,204,206,181,170,178,163,152,144,123,99,191,241,237,238,237,238,237,236,235,235,234,218,224,216,220,255,232,202,180,176,158,173,179,141,139,136,93,155,242,239,238,239,239,238,237,236,236,235,234,220,224,210,244,255,219,184,176,163,141,178,166,124,139,111,105,220,240,238,239,239,240,238,237,236,236,236,236
0,235,233,234,234,235,235,234,235,235,235,238,239,235,236,236,236,237,235,236,237,235,235,235,237,236,234,234,234,235,235,236,235,236,237,237,238,237,238,238,238,239,237,235,235,236,233,237,238,235,237,237,237,237,236,236,235,235,236,237,236,236,239,238,236,239,241,237,238,242,240,237,237,238,237,238,237,237,238,237,237,237,236,235,235,238,238,238,238,239,239,237,237,231,222,239,236,234,239,239,232,233,243,242,241,242,237,235,238,238,237,236,236,239,237,238,240,240,239,236,248,230,163,153,206,203,186,213,222,202,187,229,228,227,242,242,237,239,239,237,237,239,239,239,240,239,241,239,243,237,158,83,170,210,142,128,212,194,124,125,186,155,153,196,243,238,238,237,238,240,239,239,239,236,239,234,206,230,175,112,141,196,134,99,185,168,114,100,177,150,100,111,182,247,237,239,238,241,240,241,241,236,233,222,184,199,210,144,105,172,134,90,170,162,99,106,183,144,95,123,145,190,252,236,239,241,241,242,242,238,233,221,191,160,183,148,85,156,130,73,158,182,104,104,192,160,101,136,180,126,213,247,237,242,241,242,242,241,233,217,188,152,137,118,99,151,115,64,169,177,92,123,202,181,157,151,158,127,137,255,237,242,243,243,243,240,232,223,208,179,133,118,114,125,106,80,149,146,132,195,197,185,172,145,121,106,133,250,238,243,244,245,245,241,236,228,219,204,166,121,110,104,123,134,136,172,208,212,204,188,159,143,125,94,158,255,239,244,244,245,247,242,238,234,223,215,199,149,113,114,130,136,174,216,220,218,211,190,154,133,124,91,187,255,240,245,245,245,246,241,238,243,231,226,217,182,145,145,133,152,202,218,228,233,213,183,150,129,117,98,228,251,242,245,246,246,247,243,226,247,242,237,230,208,183,176,155,160,201,214,230,237,214,175,145,129,103,142,255,244,245,246,247,247,247,248,219,237,249,247,236,219,204,194,182,171,195,219,232,225,206,164,137,131,101,207,254,245,245,247,247,247,247,254,221,222,249,251,241,228,214,202,193,185,184,209,230,217,196,155,135,119,119,247,246,246,246,247,247,246,247,251,236,202,241,251,250,235,223,213,202,185,179,192,211,202,176,147,133,101,155,255,245,246,247,248,247,247,247,248,252,203,221,250,252,234,217,213,202,186,178,185,198,188,156,136,127,95,217,253,246,248,247,247,247,249,250,247,254,227,205,252,248,222,210,212,196,191,179,169,179,175,143,130,98,150,255,248,245,249,248,248,248,250,251,248,251,240,217,247,248,227,221,226,204,194,174,157,159,165,142,113,111,234,251,248,249,250,250,248,249,250,252,250,252,245,222,250,254,237,227,237,210,190,174,153,147,155,140,96,193,255,249,251,251,252,252,248,249,251,251,250,252,246,212,247,253,244,231,231,206,187,170,156,143,151,129,106,236,254,251,253,252,251,251,248,247,249,249,250,254,246,207,246,252,244,230,221,204,184,170,159,139,146,119,125,249,246,254,253,252,252,252,248,246,247,247,250,253,243,222,245,252,244,231,218,203,188,169,160,140,138,109,144,255,247,252,252,253,252,252,248,248,247,249,249,251,236,235,246,241,240,226,216,202,187,168,158,137,132,106,163,255,247,251,251,252,252,252,250,250,248,250,250,251,233,231,241,238,239,218,208,198,187,168,152,130,126,102,186,254,246,251,250,251,251,251,250,249,248,249,252,252,230,226,238,242,238,215,197,191,185,168,148,124,120,101,212,252,248,251,251,251,251,251
7,201,202,202,205,207,207,207,207,208,208,208,208,208,209,209,209,209,208,209,208,207,206,204,202,201,199,198,196,202,204,205,206,207,209,209,210,210,210,209,209,210,210,211,212,210,210,210,210,209,207,206,204,201,201,201,199,203,205,208,209,210,212,211,211,212,213,212,213,213,214,214,213,212,213,213,212,212,210,207,206,205,203,202,201,206,208,209,211,212,212,214,213,213,214,215,215,215,216,215,214,214,214,215,214,212,212,209,208,208,206,204,202,208,210,212,212,214,215,215,215,215,216,216,216,216,216,217,216,216,216,216,215,214,214,212,211,210,208,207,206,210,212,213,214,215,216,216,217,218,217,217,219,218,218,218,218,217,217,217,217,216,214,214,213,211,209,208,206,212,213,213,216,217,218,218,219,220,220,219,220,220,220,220,219,219,220,219,218,218,216,215,214,214,212,210,209,213,215,215,218,219,220,221,221,222,223,223,222,223,223,222,222,222,222,222,220,220,219,217,215,216,215,212,211,214,215,217,219,219,222,225,228,217,198,210,218,219,218,221,222,223,222,221,220,218,217,222,217,216,215,214,213,215,216,219,223,227,230,232,235,225,192,173,192,207,206,209,208,206,209,209,210,207,219,234,205,219,216,215,214,219,225,230,233,233,229,227,224,221,191,159,172,188,197,198,193,189,191,189,196,189,188,178,202,220,217,216,216,234,234,233,230,224,216,208,208,215,197,162,152,161,179,190,197,196,187,188,192,183,183,189,191,215,213,217,217,232,229,223,217,213,208,207,213,223,207,166,154,154,150,155,159,162,165,173,178,177,179,189,183,192,189,218,218,228,219,209,204,200,202,206,214,210,189,164,156,164,167,161,143,145,193,192,188,182,181,182,185,187,210,222,221,226,215,203,198,199,198,195,204,212,190,154,136,152,170,172,163,147,210,235,231,230,229,228,226,227,226,222,223,227,219,210,205,205,204,200,203,216,201,165,150,156,154,153,151,146,219,233,231,231,230,229,228,226,227,225,225,221,219,216,210,206,205,204,208,216,201,171,168,174,165,163,139,187,238,233,233,232,232,231,230,229,228,227,210,211,215,217,215,209,202,199,200,193,181,165,163,169,166,157,159,235,236,234,235,233,233,232,231,231,232,185,137,173,197,214,212,201,195,189,180,166,151,134,107,117,146,142,195,241,236,235,235,234,234,233,233,235,215,134,133,80,109,155,186,178,166,164,169,191,204,141,101,116,140,162,232,237,236,236,235,233,233,233,234,228,172,125,118,59,54,62,80,142,210,224,235,239,243,221,153,172,197,229,239,238,237,236,234,235,237,233,227,169,122,109,91,53,51,48,57,211,240,238,238,237,238,239,237,238,241,239,239,238,238,237,239,237,199,157,136,115,102,92,78,47,46,41,73,237,237,236,238,239,239,239,239,237,238,239,240,240,239,240,215,162,126,124,114,104,91,80,72,49,47,39,65,237,238,237,238,239,239,240,240,240,239,241,240,240,246,217,136,93,92,108,100,95,94,85,70,56,49,28,61,239,240,240,240,241,243,243,244,243,244,243,244,245,215,152,125,92,72,86,93,86,89,90,74,54,38,22,47,195,204,205,208,210,213,215,216,217,219,220,224,208,131,99,124,90,64,66,82,79,81,90,83,41,25,26,52,130,130,131,133,135,138,141,141,143,144,142,153,150,106,87,117,87,57,62,70,73,74,84,86,29,27,28,73,139,134,133,135,134,134,133,135,134,132,136,146,133,96,81,110,82,57,58,65,68,70,78,84
11,97,103,108,111,115,118,121,123,125,128,130,130,132,135,137,138,138,140,142,143,143,144,145,145,145,144,144,144,99,105,110,113,117,119,121,123,126,129,130,133,134,136,138,139,140,141,142,144,145,146,146,146,145,146,146,146,100,105,111,115,118,120,122,125,128,130,131,135,137,138,140,139,144,145,144,146,147,147,147,147,146,146,147,147,101,106,111,115,119,121,123,126,128,130,133,135,138,139,140,141,126,141,146,147,147,147,147,148,148,148,148,148,102,106,111,115,119,122,124,127,130,133,135,137,139,140,140,149,101,103,153,146,148,148,150,150,150,149,148,148,101,106,112,116,120,122,124,127,131,134,137,138,139,141,140,157,104,91,155,147,150,150,150,150,150,149,149,150,102,107,112,117,121,123,125,128,131,134,137,139,140,142,142,160,85,102,156,148,150,151,152,152,151,150,150,150,103,109,113,118,122,123,126,129,131,135,137,139,141,140,150,159,79,118,156,150,152,153,152,152,152,152,152,151,103,109,115,118,122,124,127,130,132,134,137,139,140,141,161,134,75,133,155,151,152,152,153,153,152,152,152,152,104,110,116,119,122,125,128,130,132,135,138,139,139,140,159,95,76,149,152,151,152,153,153,153,152,153,153,152,104,109,114,119,124,125,128,131,135,136,134,146,157,102,98,79,94,158,149,152,153,153,153,153,153,153,153,152,105,109,115,119,122,125,132,131,121,152,132,102,131,101,68,66,126,156,150,153,153,153,154,153,154,154,154,153,104,110,116,118,129,160,160,139,76,117,130,71,102,97,60,63,148,152,152,154,154,154,154,154,155,154,153,154,105,110,114,123,155,131,145,141,75,107,112,70,126,91,47,82,159,151,153,154,154,154,156,156,156,155,154,153,106,111,112,136,133,107,124,135,73,106,93,78,124,76,39,102,161,150,153,153,154,155,155,156,155,156,155,153,106,112,116,152,123,87,100,122,64,94,75,86,105,63,39,114,159,150,152,153,156,157,158,156,154,156,155,154,108,108,131,158,125,93,100,85,60,89,57,93,93,52,32,118,162,152,154,153,148,143,146,159,160,156,156,155,108,107,154,151,121,97,85,73,75,81,40,115,73,36,44,89,150,147,143,138,131,124,106,109,147,160,155,156,107,112,166,144,119,102,82,64,97,67,24,79,65,72,96,95,119,138,144,138,124,104,96,87,80,153,158,156,106,115,160,144,127,111,89,78,89,94,107,114,126,128,118,123,136,126,108,98,94,111,131,122,103,149,159,156,106,113,154,146,133,118,95,96,120,143,134,132,129,126,111,105,102,82,104,134,153,162,162,161,161,158,158,157,106,114,165,149,133,118,97,103,132,138,123,130,124,113,83,72,90,134,161,160,158,156,157,157,158,159,158,157,104,122,172,136,123,105,96,104,124,124,123,120,105,72,63,113,154,159,155,156,157,157,159,159,158,159,159,158,100,135,152,113,111,102,103,107,107,112,113,92,60,75,135,158,153,154,155,156,156,157,158,158,158,158,159,158,98,142,146,116,110,119,109,110,96,96,85,56,98,149,152,148,151,153,153,153,154,155,157,156,157,154,155,157,102,153,153,117,110,134,114,102,85,75,57,109,152,146,146,148,150,152,152,153,153,154,155,156,157,169,173,176,107,159,154,111,111,136,111,92,73,50,93,149,141,145,147,148,150,150,151,152,153,153,156,154,176,185,184,172,107,160,155,106,113,133,109,92,62,50,131,140,141,144,145,146,149,150,151,152,153,154,155,155,147,121,159,171
6,196,198,198,199,199,199,198,198,198,198,198,196,195,194,193,192,192,190,188,186,186,187,186,184,182,181,128,146,197,199,199,199,201,200,199,200,200,199,199,198,197,197,196,194,193,191,190,189,188,189,188,187,184,181,176,130,200,201,203,202,202,202,201,200,202,200,199,199,198,199,198,197,194,192,193,192,192,190,188,187,187,183,183,166,201,203,204,204,204,204,204,203,204,203,202,200,199,200,199,197,196,195,195,195,195,191,189,189,187,185,182,174,203,204,206,206,207,206,205,205,205,204,202,202,201,201,200,200,199,198,196,196,195,193,191,190,188,187,183,179,205,205,206,207,208,207,207,207,206,206,206,205,203,201,201,203,201,199,197,197,197,195,193,191,191,189,187,183,205,206,207,209,210,210,209,210,208,207,207,207,206,205,205,202,201,196,196,195,195,193,189,188,182,185,185,186,206,207,208,210,211,212,211,211,213,212,207,204,200,194,191,188,187,164,164,180,181,165,175,172,180,223,167,177,207,209,212,213,211,211,210,209,201,190,191,193,187,188,191,192,181,177,164,187,191,174,177,180,170,203,147,172,209,212,213,213,213,211,212,218,193,171,179,193,195,201,203,202,185,162,163,157,158,146,134,136,126,130,158,191,210,211,213,214,214,211,222,230,201,184,174,173,177,171,167,159,149,139,112,106,98,104,148,154,172,187,194,190,210,212,213,214,216,212,232,233,214,199,182,166,161,151,144,134,119,99,71,56,54,167,213,203,201,197,192,190,211,213,214,216,215,220,239,235,227,195,158,151,156,165,163,156,145,137,134,93,133,214,198,198,197,196,194,192,213,214,215,218,214,230,245,240,223,165,133,142,147,159,165,164,153,141,142,109,147,215,201,202,199,198,196,194,215,216,218,218,213,241,241,238,195,140,149,146,136,138,157,148,137,137,130,83,154,215,203,203,200,198,197,196,214,217,219,215,220,245,237,236,205,183,167,150,126,126,161,153,145,149,130,97,199,209,205,204,202,200,198,197,215,218,220,214,235,240,238,241,238,224,182,147,154,164,164,156,141,129,127,108,170,216,204,205,203,200,198,196,218,219,215,220,241,240,242,237,235,231,175,136,142,148,148,145,129,119,119,86,163,216,206,207,204,201,198,196,217,219,211,228,239,243,239,231,230,210,166,140,135,125,129,137,133,127,105,102,201,211,206,206,205,201,201,204,218,209,211,235,239,241,232,223,217,212,193,174,140,99,108,133,129,127,97,138,218,205,207,205,200,201,199,175,217,196,225,237,239,234,229,229,223,215,221,208,155,119,134,156,144,122,112,98,198,212,204,203,205,212,134,52,205,204,234,237,236,233,235,231,217,222,226,194,138,116,126,127,117,105,94,89,196,211,210,215,185,117,50,38,200,223,230,234,231,226,220,216,212,222,209,167,127,120,119,107,97,92,86,162,223,213,183,121,66,39,39,35,216,225,231,227,218,211,204,205,204,190,168,139,122,110,88,126,145,166,193,201,156,104,54,37,38,37,38,38,224,223,227,219,204,199,197,193,191,169,142,130,130,121,134,193,170,145,112,72,42,19,24,35,35,30,32,30,221,222,214,202,190,179,190,189,177,164,152,137,114,83,85,59,39,30,27,38,25,10,22,27,29,26,29,25,220,218,210,199,184,172,174,168,154,145,126,98,65,42,23,29,28,30,34,35,13,3,16,22,27,24,25,27,222,212,205,188,165,158,151,135,117,105,83,55,31,41,29,16,21,23,29,30,6,0,12,20,25,20,20,25
24,197,199,200,200,201,202,202,203,203,203,204,204,204,204,204,203,204,204,204,203,203,202,201,200,152,91,81,74,200,201,202,203,203,204,205,205,205,205,206,206,206,205,206,206,205,206,206,205,205,204,203,204,145,81,87,88,202,202,204,205,205,206,207,207,207,207,208,208,208,208,208,207,207,208,208,208,207,206,204,209,166,88,95,101,202,204,205,206,207,208,208,209,209,210,210,210,210,210,210,211,211,210,210,210,209,208,206,207,201,107,94,95,204,205,206,208,208,209,211,210,211,211,211,211,211,212,212,212,212,212,211,210,210,210,209,206,212,150,88,86,206,207,208,209,210,210,212,212,212,212,212,212,213,213,213,213,213,214,213,213,212,212,212,209,213,190,94,80,207,209,210,210,211,212,213,213,213,214,214,213,214,215,215,214,216,216,215,214,214,212,213,213,210,215,113,72,207,210,211,211,215,214,213,214,215,216,215,215,216,216,216,216,216,217,216,216,217,214,214,213,212,218,168,151,209,210,211,214,193,211,216,216,216,216,216,217,217,217,217,217,217,217,217,217,217,217,216,215,213,219,173,188,210,211,212,217,168,177,223,215,217,217,217,217,217,218,219,218,219,219,218,217,218,218,217,216,215,218,181,207,211,212,214,215,180,140,215,217,217,218,217,217,218,219,218,219,220,219,220,222,219,219,217,217,216,217,207,188,212,213,215,217,200,139,176,226,217,218,219,219,219,222,220,220,223,226,209,203,222,219,219,218,218,218,222,185,212,214,216,217,210,175,139,212,223,219,220,221,219,212,220,224,197,223,211,154,190,227,219,219,217,210,195,185,213,216,217,217,218,202,152,156,223,221,219,222,225,188,193,230,167,165,222,162,160,228,220,218,219,199,159,143,213,216,216,216,219,212,188,160,177,225,219,223,236,213,182,202,188,151,219,177,163,227,220,221,224,176,138,153,212,214,215,215,217,217,204,183,164,191,221,222,233,236,193,167,211,158,201,188,168,229,214,229,207,140,178,224,213,214,216,216,217,218,214,196,185,197,201,210,204,237,209,156,190,174,191,203,155,194,202,223,171,151,223,216,213,214,217,218,218,218,220,216,217,214,192,184,174,205,219,166,148,181,188,213,146,149,207,199,148,200,222,216,212,214,216,216,217,217,219,221,230,205,184,169,150,158,212,175,129,191,181,223,163,171,205,166,162,226,217,218,217,220,222,222,223,223,225,224,229,228,206,171,156,163,185,189,136,189,189,164,181,197,191,140,184,226,217,218,174,178,180,183,187,190,194,196,199,232,234,214,169,157,177,192,158,164,206,161,227,195,173,147,221,229,224,220,131,131,131,133,133,132,134,135,127,215,242,235,217,164,168,203,195,180,208,222,213,175,162,143,166,163,172,192,139,138,139,140,139,139,139,142,130,181,246,226,234,196,167,177,231,242,245,230,193,167,149,138,158,185,205,222,139,137,137,137,138,139,139,140,138,146,226,224,234,219,184,168,194,240,235,209,186,154,145,217,232,228,225,229,137,137,137,136,137,138,138,139,142,134,177,236,238,227,194,175,177,223,222,197,179,139,168,212,207,221,219,218,136,137,138,136,137,137,138,139,140,139,138,221,225,207,179,165,172,197,203,182,155,135,207,205,184,198,210,210,135,135,137,137,138,139,137,138,139,141,130,193,219,184,179,174,175,186,192,171,138,145,201,217,176,166,190,208,136,136,136,136,138,140,136,136,138,140,132,174,225,202,202,191,183,187,190,163,130,153,196,212,185,157,185,199
17,166,168,170,172,173,176,176,176,178,178,178,178,178,177,176,176,176,175,174,174,172,172,170,168,167,165,163,161,166,170,172,175,176,177,178,178,180,180,180,180,180,180,179,179,179,177,177,177,174,173,172,170,169,167,165,162,170,173,175,177,179,179,180,181,181,182,183,183,183,183,182,180,180,179,180,179,177,176,174,172,171,169,167,166,171,175,177,179,181,182,182,183,184,184,185,186,186,186,185,183,185,181,177,181,180,179,177,175,173,172,169,168,174,178,179,181,182,184,185,185,186,187,187,188,187,187,186,192,192,162,148,184,182,181,179,178,175,174,172,171,176,179,181,183,184,186,187,187,187,188,189,189,189,189,188,198,215,144,125,185,184,183,182,180,179,177,174,173,179,181,183,185,186,188,189,190,191,191,191,191,191,191,191,193,229,169,132,187,186,185,184,183,181,179,178,176,181,183,186,187,188,189,191,193,193,193,193,195,194,194,194,196,241,200,144,187,188,187,186,184,183,182,181,179,182,186,188,190,191,192,193,194,195,195,195,196,196,195,196,204,248,219,151,180,190,189,188,187,186,185,183,181,185,187,189,192,194,195,195,196,197,198,198,198,199,198,196,213,242,222,157,168,193,193,190,189,188,187,185,183,187,189,192,194,196,196,196,198,199,199,199,200,222,218,191,194,227,227,163,159,195,194,193,190,189,188,187,185,188,191,193,196,198,198,200,200,200,204,208,202,237,229,209,174,191,208,171,151,197,196,194,193,192,190,189,187,190,193,195,197,199,200,201,201,202,235,244,208,190,217,217,224,221,172,144,139,198,197,197,195,194,192,190,189,192,194,197,199,200,201,202,203,206,237,222,212,173,183,166,217,229,186,127,124,198,200,199,197,195,194,193,191,193,195,199,200,201,202,204,206,210,233,174,184,191,132,115,137,229,213,145,110,190,201,200,199,196,196,195,193,194,197,199,201,202,204,206,207,214,228,182,167,156,131,128,118,219,237,175,109,173,202,201,201,198,197,196,194,197,199,200,203,205,207,208,209,219,241,212,175,157,153,158,151,209,246,196,125,166,203,202,202,201,199,198,196,199,200,201,204,207,208,209,209,224,240,192,165,164,180,185,197,239,244,203,139,163,206,205,204,202,201,200,192,198,200,203,205,207,208,209,210,222,241,208,184,178,197,197,236,253,233,192,144,162,208,207,205,191,162,150,126,199,201,203,205,207,207,209,210,220,250,222,195,181,204,215,250,251,226,180,139,165,208,207,194,128,112,108,102,199,201,203,206,208,209,210,212,219,252,234,212,189,209,237,253,243,216,171,132,162,207,204,157,109,104,102,99,199,203,205,207,209,210,212,214,218,252,244,225,207,207,239,252,233,208,165,124,163,208,165,108,90,79,72,60,200,204,207,209,211,213,213,214,216,250,251,235,224,213,232,246,222,201,164,115,152,150,108,92,82,64,61,49,201,204,207,209,210,213,214,214,215,243,254,241,231,214,211,234,210,199,156,112,106,105,100,90,75,54,50,49,193,196,200,203,204,207,208,210,211,227,254,243,226,204,197,209,197,197,151,107,87,94,93,95,86,58,42,42,130,133,136,138,137,137,140,142,146,166,251,238,212,188,185,190,197,188,138,96,68,79,81,80,94,75,44,35,111,115,116,113,114,113,113,113,116,132,243,217,191,176,179,185,193,169,115,86,69,54,70,67,85,89,55,34,118,119,120,117,120,121,121,120,124,87,211,210,187,175,184,181,174,142,87,32,52,46,54,58,70,89,69,39
13,119,129,136,139,143,149,156,160,165,167,169,173,176,179,181,183,187,188,189,190,191,192,192,191,191,191,192,193,120,130,138,141,145,151,158,162,165,168,170,174,177,180,183,185,188,188,189,191,192,193,193,193,193,193,194,195,123,133,140,143,148,154,161,165,167,171,173,176,179,182,185,187,190,190,191,191,190,194,195,195,196,196,195,196,125,136,142,145,149,155,161,166,169,172,175,178,181,184,187,189,191,201,207,193,153,168,190,194,197,197,198,198,127,137,143,147,151,157,163,168,172,175,178,181,184,186,190,193,190,211,224,192,136,100,127,148,174,199,198,199,128,137,143,147,153,158,164,170,174,176,179,183,187,189,200,178,153,161,191,194,134,90,114,137,100,180,201,201,131,140,145,148,155,160,166,171,174,178,181,186,188,193,225,197,163,125,153,194,171,98,122,133,91,167,202,202,133,142,147,150,155,162,168,173,176,180,183,191,181,151,197,224,189,139,93,173,178,105,120,148,95,179,204,203,134,143,149,151,157,163,169,174,177,180,192,218,185,136,117,218,211,157,89,101,149,101,133,163,109,195,205,205,136,144,150,153,158,165,171,175,179,187,216,214,204,157,97,166,208,152,96,42,77,69,128,155,130,205,205,206,138,147,152,155,161,168,172,176,181,211,193,185,211,175,111,106,194,142,91,38,67,99,130,125,101,192,208,208,139,150,153,156,163,170,174,178,198,220,191,159,194,161,109,78,178,144,91,49,104,146,142,120,110,141,210,209,142,150,155,159,166,172,176,180,213,205,172,143,180,133,94,55,165,167,99,96,169,172,141,105,107,103,197,210,144,152,156,160,168,176,180,187,223,201,171,128,158,116,81,40,145,165,104,164,196,171,138,109,98,91,187,212,147,155,158,161,171,179,184,191,232,210,181,136,124,119,73,59,134,178,168,199,186,156,130,103,89,101,207,213,150,157,159,165,175,182,187,198,237,218,189,149,107,104,104,151,199,214,214,198,173,142,120,97,79,152,214,214,153,160,162,168,177,185,190,204,241,228,194,157,149,153,155,185,212,211,208,189,159,135,111,87,80,199,215,215,156,163,165,172,181,187,191,207,236,231,206,173,172,163,164,198,206,211,199,176,150,127,102,79,103,215,217,217,159,165,168,176,185,191,196,208,226,234,216,190,181,165,174,208,202,203,183,159,135,115,93,71,164,220,220,219,162,167,171,179,188,196,199,202,222,231,221,199,184,167,177,202,204,183,166,142,126,108,84,122,217,223,222,221,165,171,174,182,191,197,202,203,216,224,219,207,191,177,174,191,198,174,151,131,116,99,106,211,225,225,224,223,168,174,177,185,193,199,203,208,206,224,220,212,206,191,176,182,188,167,135,119,106,95,191,227,227,227,226,225,171,175,179,187,196,202,206,210,198,226,218,212,207,193,173,174,173,155,118,109,95,151,228,229,229,230,228,227,172,178,181,190,199,206,209,212,202,223,203,188,194,185,169,165,162,142,117,102,101,216,231,232,231,231,230,216,173,179,182,192,201,207,211,214,206,223,203,190,203,197,182,158,155,138,122,94,139,226,234,234,233,233,208,111,175,179,183,193,201,206,211,213,206,225,215,200,216,201,185,156,151,135,124,88,163,228,235,235,224,177,97,60,175,180,184,194,202,207,212,214,210,221,227,218,228,205,187,161,150,134,123,85,174,232,236,225,132,67,45,42,176,181,185,196,203,208,213,216,210,209,230,224,226,203,183,165,152,136,120,84,170,235,238,168,80,61,49,24
19,205,207,209,211,213,213,215,216,217,217,217,218,218,217,217,216,216,216,216,215,214,215,214,212,211,211,209,208,207,208,210,212,214,216,216,217,219,220,220,219,220,219,219,218,218,218,217,217,216,216,215,214,213,213,211,211,209,211,213,215,217,217,219,221,222,222,221,221,221,222,222,221,220,219,220,220,218,216,217,217,215,215,212,212,209,212,214,216,218,219,221,221,222,222,223,222,223,223,223,222,223,221,221,221,219,218,217,217,217,217,215,214,210,214,215,217,218,221,222,222,224,225,224,225,225,225,225,222,224,223,222,221,221,221,219,220,217,217,216,215,212,215,216,219,219,222,224,225,226,227,227,228,228,227,225,225,225,225,223,223,223,221,222,221,219,219,218,216,214,216,220,220,221,223,224,226,228,228,228,228,227,226,227,221,231,226,224,225,224,223,222,222,222,220,220,219,215,217,221,222,222,225,227,228,230,230,229,231,236,229,243,208,173,231,226,224,226,225,225,223,222,220,220,220,216,218,221,223,225,228,228,230,230,232,233,207,187,212,247,230,128,191,238,233,230,229,229,227,224,225,224,221,217,220,223,225,228,229,229,230,231,230,219,185,145,148,166,178,159,146,170,181,207,212,217,220,223,217,212,219,218,221,224,227,229,229,231,233,230,218,215,222,215,164,109,135,162,153,151,135,145,163,172,157,181,161,168,215,221,223,225,228,228,230,229,226,209,215,230,232,198,138,106,100,124,137,145,135,139,157,162,158,163,166,161,201,221,223,226,228,231,229,226,217,212,215,220,220,201,156,106,99,98,102,106,102,107,115,125,125,124,129,135,153,222,223,226,229,229,226,226,223,219,209,219,227,227,191,123,97,103,90,113,150,170,173,171,171,180,183,195,213,223,225,228,230,229,227,225,225,222,219,226,230,225,192,127,97,102,89,172,253,241,240,238,240,240,238,236,232,224,226,225,229,227,229,227,227,228,224,222,222,214,199,143,97,99,100,106,230,238,234,232,231,232,232,229,231,221,223,234,234,232,229,230,231,231,222,216,227,224,212,161,101,96,105,83,160,250,234,235,235,234,233,232,232,223,248,251,238,231,232,233,230,223,220,226,232,227,195,151,111,94,108,86,134,251,235,237,237,236,234,234,233,248,255,244,233,228,229,226,222,219,218,212,212,202,171,144,120,102,104,91,195,249,237,237,237,238,236,235,234,255,250,235,229,228,225,221,220,213,210,202,197,190,172,143,124,116,106,79,200,251,239,239,238,237,237,236,234,251,246,237,224,218,220,215,217,215,208,201,192,185,193,149,121,121,106,99,229,246,240,240,240,237,237,237,235,248,243,233,219,207,208,206,207,212,203,193,173,170,187,133,114,127,105,127,255,239,241,241,240,239,238,238,237,243,238,223,206,193,190,194,192,199,188,168,145,145,136,92,113,130,96,171,252,240,241,241,241,240,240,238,237,233,224,204,190,180,163,168,174,179,159,137,134,129,98,107,121,115,180,248,245,243,242,242,242,241,240,238,238,232,202,197,188,162,144,133,143,147,135,122,115,100,96,115,148,205,252,243,244,243,243,243,242,241,241,240,238,198,186,198,183,152,123,117,116,118,107,140,200,189,193,219,243,251,244,244,243,243,243,242,242,241,239,239,237,142,188,194,169,138,102,81,82,132,189,237,255,253,252,250,246,244,245,245,244,244,243,242,240,239,239,238,237,89,132,130,99,78,60,48,46,220,255,244,245,245,246,245,246,245,245,246,245,245,244,243,242,241,239,238,238
15,101,103,102,103,105,107,108,110,113,116,124,134,145,152,159,164,167,168,169,173,177,181,183,185,188,190,191,193,104,103,102,104,105,108,108,111,113,116,124,136,145,153,158,163,166,168,171,174,177,181,185,186,189,190,192,195,105,103,103,103,105,109,110,111,113,117,127,136,144,154,159,164,168,171,173,175,178,181,185,187,188,191,194,195,105,103,103,103,104,107,103,108,114,118,128,137,145,153,160,165,168,171,173,176,181,183,187,188,190,193,196,198,105,103,103,104,102,104,146,126,110,113,127,139,148,154,159,167,169,171,173,176,180,182,187,189,190,195,196,199,104,102,102,104,97,123,213,183,158,136,129,135,144,154,164,168,171,171,172,176,180,184,187,190,193,194,195,198,105,103,103,104,100,112,181,187,173,178,164,160,148,145,152,160,164,169,174,180,185,186,188,189,193,194,196,199,104,104,104,105,105,101,118,149,136,152,165,171,170,166,152,151,149,153,156,159,168,178,187,195,192,196,198,199,104,103,103,104,104,107,106,112,115,127,138,137,158,172,166,162,157,162,165,158,140,137,127,165,201,194,200,201,103,102,103,104,104,106,109,111,111,120,126,123,131,152,150,148,141,156,179,184,163,145,124,96,166,207,197,202,103,103,103,103,104,105,109,112,111,120,132,141,146,147,145,145,128,154,177,180,169,159,152,119,106,185,204,200,105,103,102,103,104,106,108,111,112,119,132,140,150,158,161,160,154,186,182,176,178,176,166,148,121,109,193,206,105,103,103,103,104,106,108,110,113,121,127,141,151,155,166,170,188,209,169,157,190,172,177,170,144,103,115,202,104,103,103,103,105,107,107,111,113,115,156,163,157,158,149,167,202,166,153,130,196,156,186,187,149,122,93,130,102,103,103,103,105,105,106,110,110,116,187,179,179,185,172,141,147,131,99,108,184,140,190,188,151,127,106,91,103,102,103,102,103,105,107,109,112,119,154,156,183,206,187,145,144,147,118,119,156,156,183,181,152,132,108,100,103,102,102,101,101,104,107,108,111,119,131,144,168,192,165,148,167,160,156,157,150,148,136,152,144,126,106,100,101,101,100,101,100,101,103,106,109,118,131,140,152,151,132,152,167,161,161,172,170,145,108,112,124,114,109,104,100,96,98,99,101,102,102,104,107,118,131,140,140,182,159,126,140,162,169,172,169,138,106,105,110,107,110,112,99,97,97,98,99,101,103,104,108,117,130,143,137,202,200,128,75,92,148,160,162,133,108,110,110,108,113,113,99,97,96,97,99,99,102,103,108,119,130,142,141,189,188,124,78,66,83,140,139,114,107,111,111,111,113,114,99,97,96,96,98,99,101,101,107,119,130,142,140,186,189,107,101,107,71,108,137,112,110,114,119,117,114,110,96,95,94,94,97,99,101,100,105,115,128,140,142,180,188,93,143,128,110,116,133,146,132,129,121,117,113,108,96,95,93,93,96,97,99,100,105,115,126,137,138,180,195,80,143,177,103,148,137,140,121,116,111,110,110,110,90,88,87,86,89,89,91,92,96,109,122,134,133,187,183,82,127,203,118,117,183,108,109,105,95,99,101,101,145,142,139,135,132,132,130,130,133,137,143,149,149,171,130,97,160,182,120,135,191,160,178,148,86,83,84,84,126,126,124,124,121,123,126,128,129,126,124,120,118,125,102,111,133,129,118,130,135,139,136,136,107,87,88,96,116,114,114,113,112,113,113,112,112,114,113,108,107,111,117,118,113,112,116,116,113,111,111,112,117,112,118,115
3,162,164,166,168,169,171,172,172,172,172,172,171,171,171,172,170,169,167,165,164,162,160,158,154,152,151,149,146,163,165,167,170,171,171,173,173,173,174,173,172,171,171,170,172,171,168,166,165,162,161,159,156,153,151,150,147,163,166,168,170,171,172,173,174,173,173,173,173,172,174,150,129,171,168,167,165,164,161,159,157,155,153,151,149,164,166,168,171,171,173,174,175,174,174,174,174,174,178,147,90,164,170,168,166,165,163,160,157,155,153,151,150,166,167,170,172,173,175,175,175,175,175,175,174,174,177,144,83,151,173,169,167,165,164,161,158,156,155,153,152,166,169,172,173,175,176,177,177,177,178,178,176,175,177,141,76,147,175,170,168,166,165,163,160,158,157,154,152,168,171,174,175,177,179,179,180,180,181,181,180,179,181,155,87,139,177,172,170,168,166,164,162,161,158,156,155,171,173,175,178,179,181,182,182,182,182,182,181,180,176,144,84,127,181,174,172,171,168,166,164,163,160,158,157,172,175,177,180,181,182,184,184,184,184,184,182,185,166,123,83,118,178,177,173,172,170,168,166,164,162,160,158,173,176,180,182,183,185,186,186,187,187,187,184,189,193,165,114,140,132,166,177,173,172,170,168,165,164,161,160,174,177,181,183,185,187,187,189,189,189,189,183,143,139,167,128,157,102,121,182,174,173,171,170,167,165,163,161,175,180,183,185,186,187,188,190,191,189,183,184,143,103,120,130,141,120,75,132,179,175,174,172,169,166,164,162,177,180,184,185,187,187,189,190,192,189,138,126,168,132,95,133,136,133,95,77,154,180,175,173,170,168,166,163,179,182,185,187,188,189,190,192,194,185,150,117,137,154,103,117,121,124,113,74,139,183,177,174,171,170,167,165,179,183,186,188,188,190,192,194,193,155,162,141,109,146,109,64,60,129,123,71,153,184,178,175,173,171,168,166,180,184,187,189,190,192,192,197,177,124,118,139,86,110,99,55,50,125,130,76,164,184,179,176,174,172,169,167,181,183,187,189,191,193,193,198,176,130,83,116,65,85,113,80,81,136,129,77,168,184,180,177,175,174,171,168,182,184,188,190,192,193,195,193,159,122,86,93,82,75,120,87,124,139,115,75,175,186,181,179,177,175,171,169,182,185,189,191,194,195,196,192,173,143,99,79,82,96,145,137,146,125,81,96,190,185,183,181,178,175,172,169,183,186,189,192,194,195,198,195,180,155,115,98,91,149,185,169,136,111,65,143,192,185,184,182,179,177,173,170,184,187,189,193,194,196,198,194,177,159,126,106,102,169,173,153,130,103,73,180,190,186,184,183,180,178,174,171,183,187,190,193,195,196,198,195,168,152,132,117,113,167,165,145,123,84,102,197,190,187,185,183,181,179,175,172,182,187,190,194,195,197,200,200,173,155,142,132,118,157,158,135,104,67,155,197,191,188,188,185,183,179,176,174,183,186,191,194,195,197,200,203,187,161,153,136,115,134,136,111,74,90,198,195,191,189,188,186,183,180,178,175,183,187,192,195,196,197,200,202,197,173,155,137,120,117,119,96,59,157,200,194,193,190,188,186,183,181,178,176,184,188,192,195,196,199,199,202,198,181,152,141,134,122,112,79,85,198,196,195,194,191,188,186,184,182,180,176,183,186,191,194,196,200,201,202,189,180,162,157,141,124,101,66,119,204,196,196,195,194,190,186,185,182,181,178,182,187,191,194,197,200,201,200,180,184,172,158,137,115,88,58,148,203,196,194,193,192,189,187,184,181,180,177
21,71,78,87,101,116,124,131,135,139,142,144,147,150,153,157,159,160,162,164,165,166,166,167,167,168,167,168,167,73,80,89,104,117,127,132,136,140,143,145,149,152,155,151,161,163,164,165,166,168,169,169,169,169,169,169,169,75,82,89,107,119,128,134,138,142,145,147,151,161,164,100,152,167,167,168,168,170,171,171,170,171,172,171,171,76,84,92,109,121,128,135,140,143,146,150,151,170,164,95,147,170,168,168,171,173,173,171,172,173,173,173,173,76,84,94,111,123,130,136,141,146,149,152,153,172,163,100,143,170,171,171,172,175,176,175,177,177,175,175,174,78,86,96,112,123,132,137,141,147,150,152,154,176,170,107,141,173,171,173,172,177,178,172,162,176,177,177,177,79,88,98,115,124,134,139,144,148,150,153,155,177,170,111,134,176,174,176,176,177,177,146,101,162,181,179,179,81,89,100,118,126,135,140,145,149,150,154,156,177,168,114,122,177,174,177,177,180,165,123,105,177,181,180,180,83,89,101,118,127,134,141,147,150,151,155,158,183,171,115,119,178,174,178,181,179,145,101,155,186,182,181,181,84,91,104,120,129,137,142,148,151,152,156,159,192,175,122,124,179,176,179,177,157,120,125,186,184,183,183,182,84,92,107,121,130,138,144,148,150,153,165,145,174,157,117,121,180,177,182,173,136,101,171,187,185,185,185,184,85,93,108,122,131,138,144,149,152,162,161,123,120,115,103,121,181,179,181,162,109,136,189,185,186,186,185,186,87,94,110,122,130,139,145,150,163,179,133,118,88,83,88,122,163,166,164,126,104,181,187,187,187,187,186,186,87,94,111,123,132,139,146,151,187,192,167,140,92,69,83,113,143,144,127,90,153,190,186,187,187,188,187,186,88,95,113,125,132,140,146,158,193,201,202,140,94,70,78,100,118,122,94,113,188,188,188,188,189,189,189,189,88,96,114,124,133,140,145,167,175,165,172,126,91,78,76,91,103,103,87,172,190,189,188,189,189,189,190,189,89,98,115,125,133,141,146,186,169,116,136,138,103,82,77,82,89,79,118,193,188,189,190,190,190,190,190,189,90,99,117,126,135,141,151,186,139,109,116,153,115,88,79,75,81,75,145,193,190,190,190,190,190,191,192,190,90,100,118,126,135,140,164,185,150,141,137,174,131,110,88,76,76,75,154,193,192,192,191,191,191,191,192,190,90,102,117,125,136,140,176,186,167,138,176,199,139,125,94,74,75,78,168,192,191,192,193,193,193,193,192,191,91,103,119,127,137,140,185,198,163,145,209,179,133,121,94,75,74,83,182,193,192,192,193,193,193,194,193,192,92,104,119,127,136,141,192,188,154,159,199,162,129,112,100,79,71,103,193,192,192,192,193,193,194,194,193,193,91,104,118,127,138,142,184,171,164,159,195,157,145,109,90,79,70,138,195,192,192,192,193,194,195,194,193,194,91,105,120,130,139,143,171,176,182,159,196,150,139,111,83,77,71,163,194,191,193,193,194,195,195,195,194,194,91,107,120,130,138,144,162,196,173,154,183,135,117,94,78,74,80,178,193,192,193,194,195,196,196,196,195,195,90,107,120,129,137,145,157,189,166,146,160,126,103,89,78,67,95,188,191,193,195,196,196,196,196,196,195,195,88,105,117,127,136,146,152,170,155,148,151,133,117,98,80,63,108,191,189,190,193,193,194,194,195,195,195,195,88,105,116,127,136,146,151,162,159,155,151,145,131,100,77,59,115,190,187,189,192,193,193,194,194,195,195,194
4,202,203,205,206,207,208,207,207,207,207,209,208,208,211,212,209,208,211,212,209,208,209,208,208,207,207,207,206,205,206,207,208,209,210,209,209,210,210,211,211,210,202,197,207,214,197,191,213,214,209,211,211,209,207,208,208,207,209,208,209,212,212,212,211,213,212,208,210,220,207,176,163,184,191,165,161,205,216,212,213,212,210,210,210,209,209,209,211,213,213,214,215,212,208,195,179,175,216,221,175,119,140,188,140,108,209,216,212,214,213,214,212,211,210,211,213,213,215,215,216,221,228,225,188,134,130,221,175,129,72,133,151,81,177,226,214,215,215,215,215,213,214,215,215,215,211,212,181,163,202,203,211,151,85,174,187,124,75,91,146,90,163,230,216,216,217,217,215,216,216,216,216,216,221,223,177,108,104,149,217,182,95,105,199,169,94,69,172,111,157,232,218,219,218,218,217,217,216,216,217,221,201,192,190,130,78,80,204,219,126,75,202,199,121,69,165,139,169,231,220,220,220,220,220,216,218,219,218,217,208,148,173,179,120,50,161,221,134,80,164,200,134,71,116,121,180,232,221,222,222,222,221,218,220,221,220,221,213,140,131,184,138,83,110,136,116,95,104,142,113,77,95,91,109,230,222,225,223,222,222,220,221,221,220,224,218,198,172,150,117,87,104,105,110,120,120,112,99,91,130,134,99,176,236,221,224,223,222,221,221,222,223,225,227,204,176,144,117,104,114,114,115,137,130,131,99,132,180,170,151,121,221,228,226,226,225,222,222,224,224,227,229,196,165,144,124,126,126,131,151,151,169,186,191,149,177,185,163,100,158,241,224,226,225,222,224,225,224,227,225,188,151,136,117,126,143,154,179,196,205,223,222,209,189,167,130,95,100,227,229,227,227,224,225,227,225,227,231,204,170,144,130,141,150,158,218,208,209,219,213,204,186,156,119,95,87,212,234,226,228,225,227,228,228,226,234,220,182,150,134,137,150,178,224,207,215,215,214,199,180,157,121,91,107,232,229,228,229,226,227,229,230,227,229,226,196,167,139,138,158,179,224,216,225,226,214,198,181,152,118,80,161,243,229,232,231,227,228,229,229,229,228,232,213,179,146,149,172,170,221,225,232,233,222,206,174,137,112,84,215,240,234,233,231,227,229,229,230,230,227,231,224,188,157,161,185,175,216,229,237,238,239,207,163,130,95,119,243,234,235,233,232,228,229,230,231,232,227,224,231,202,160,168,183,186,218,228,242,244,234,192,153,130,79,174,247,234,235,234,235,229,230,232,231,233,225,215,222,210,170,169,180,187,223,228,239,237,207,169,143,118,87,222,240,235,236,235,234,229,231,233,232,235,227,208,222,218,189,171,175,186,217,228,223,213,183,155,134,93,128,248,235,236,236,235,235,229,230,232,233,235,236,210,215,219,203,185,180,188,205,220,210,187,167,139,114,88,208,246,237,238,238,237,237,227,229,230,230,232,237,224,201,209,205,192,186,184,184,192,186,164,140,115,82,156,249,235,237,239,238,237,236,228,230,230,231,231,235,231,202,207,202,192,188,176,168,175,174,151,120,91,92,232,239,237,237,238,237,235,235,230,230,232,232,232,235,232,205,206,193,184,182,169,154,160,161,132,103,79,137,250,234,238,238,238,237,237,236,230,232,233,233,234,234,233,209,202,171,163,173,162,158,158,146,116,101,74,177,248,236,240,238,237,238,237,236,231,232,234,235,234,235,235,211,210,181,178,190,180,171,158,141,121,105,77,203,243,238,239,239,238,239,238,236
23,159,161,163,164,167,168,170,173,172,173,173,176,175,177,178,177,179,179,177,177,177,176,176,176,174,174,175,176,161,163,166,168,169,170,174,176,175,176,176,179,180,183,184,182,179,177,179,178,178,179,178,180,179,179,178,179,162,166,168,170,172,172,176,176,177,179,179,180,184,182,180,181,193,208,216,196,172,174,185,180,179,182,181,183,163,166,170,172,172,174,177,180,180,180,180,183,182,192,202,220,233,231,216,197,184,170,157,108,173,184,183,183,167,169,171,173,173,175,178,181,182,180,184,181,195,252,241,210,205,201,151,114,122,112,90,123,187,184,187,185,168,169,172,174,176,178,178,181,183,183,186,176,213,255,212,166,165,119,107,158,147,140,163,192,186,186,187,187,169,170,174,176,178,179,182,183,185,186,188,177,229,255,202,126,95,134,182,196,196,197,194,189,188,187,188,189,170,173,176,179,180,183,186,185,186,187,188,186,248,245,207,138,145,202,198,217,202,174,193,189,190,190,190,190,172,176,177,179,183,184,185,186,189,192,184,201,255,233,219,114,161,234,241,253,219,121,198,203,194,192,194,194,173,177,179,181,184,183,186,189,192,196,183,217,255,226,220,173,243,255,249,232,181,102,106,142,198,197,196,195,175,178,180,184,184,185,189,191,193,194,186,240,253,225,245,255,251,241,221,204,192,204,121,50,162,204,194,197,178,181,184,185,187,190,193,195,196,191,197,253,250,242,241,244,241,232,232,233,233,229,163,65,115,213,195,200,179,182,186,188,189,191,193,196,195,198,236,248,243,238,231,239,242,242,235,225,202,183,132,71,67,165,205,198,181,184,185,188,190,192,195,197,192,237,253,250,249,241,230,225,229,230,219,204,189,198,156,64,57,106,213,201,184,185,187,190,192,195,196,198,192,245,255,253,253,242,218,218,225,224,218,206,200,204,169,75,48,126,216,202,186,187,189,192,194,196,198,201,197,238,255,253,254,248,237,238,223,215,205,190,186,177,133,78,56,173,215,204,187,188,190,194,195,197,201,203,196,229,255,252,254,249,234,240,197,165,164,155,139,131,124,77,89,210,209,206,187,189,193,195,197,199,201,204,197,223,255,253,254,244,231,224,181,123,88,67,84,132,123,71,136,222,207,208,190,193,196,197,200,201,203,206,199,220,255,254,254,238,228,204,171,138,80,0,61,134,118,71,178,219,211,211,192,194,196,199,202,203,205,207,205,217,255,253,255,242,224,235,221,119,27,27,96,120,89,82,207,213,211,214,193,195,199,201,203,204,206,207,207,216,255,254,254,243,234,237,197,121,36,55,98,80,61,122,226,212,213,215,194,197,200,203,204,205,208,208,208,213,254,254,254,246,242,234,181,134,72,39,57,71,65,145,229,210,215,215,195,198,200,203,207,207,209,210,212,211,251,254,254,247,247,235,184,130,88,32,61,84,67,167,229,214,216,216,196,198,201,204,206,208,210,212,213,212,250,255,253,249,248,233,187,132,101,57,73,90,74,196,223,218,219,220,196,198,202,204,206,208,211,214,214,213,251,255,252,249,246,228,189,138,103,70,85,88,94,223,217,219,221,221,197,199,203,204,207,209,212,215,215,214,251,254,253,246,237,216,179,133,102,79,86,72,139,237,218,221,221,222,200,202,204,206,209,210,214,215,218,215,249,255,253,239,220,199,166,123,104,90,81,80,211,227,221,223,223,223,202,204,205,208,212,214,216,215,220,216,248,255,253,233,204,178,143,118,109,100,68,136,236,219,224,224,224,225
19,129,138,145,152,157,158,162,165,169,172,176,180,181,185,188,188,191,191,194,196,198,199,200,199,199,201,200,201,130,139,147,154,156,159,163,166,172,175,180,183,185,188,189,191,194,195,197,197,201,202,200,202,200,204,203,202,132,142,149,155,158,162,165,169,173,178,181,183,190,191,188,194,195,197,199,199,201,199,211,194,201,204,204,204,134,143,151,157,161,164,166,172,176,176,196,190,160,181,198,194,197,200,200,202,196,221,237,127,184,208,203,204,136,145,154,159,163,164,169,174,180,176,236,200,146,120,189,197,196,200,211,213,226,228,156,114,200,208,206,206,137,147,156,162,164,166,170,178,182,175,223,219,163,147,199,216,202,208,224,222,199,143,112,186,212,209,208,207,138,147,157,165,165,165,179,167,173,182,203,218,208,216,208,204,195,177,193,169,121,136,195,215,208,210,210,210,141,150,158,165,159,210,220,176,166,173,190,197,189,173,164,173,158,133,131,135,177,217,214,210,212,212,212,213,142,151,160,162,172,237,190,179,183,192,202,200,187,172,166,147,146,114,195,213,219,211,213,213,212,214,214,213,141,151,163,157,189,213,164,165,176,195,199,195,194,187,159,113,101,137,227,213,213,215,215,213,214,216,216,216,143,152,163,158,217,216,182,181,189,183,170,166,166,142,127,106,84,168,223,214,216,216,216,215,218,218,217,217,145,154,161,169,255,228,204,199,201,192,188,182,159,100,100,103,91,195,222,217,218,217,217,217,220,219,218,218,147,156,161,177,248,220,195,177,167,180,182,173,141,101,97,105,104,208,218,219,221,221,221,220,220,220,221,220,148,158,163,174,225,213,180,154,128,121,138,138,137,104,102,99,136,224,216,219,222,221,223,223,222,222,222,221,148,159,165,171,216,215,180,121,107,73,73,133,148,109,107,102,134,228,218,221,222,222,224,224,225,225,222,222,151,162,169,168,214,218,181,134,94,61,119,147,138,101,99,98,108,216,223,222,223,224,226,226,226,226,225,225,150,161,171,163,216,216,181,145,118,84,83,87,80,79,91,102,105,209,226,223,225,226,226,226,226,227,226,226,151,162,170,162,224,220,184,152,122,107,95,75,77,89,96,102,109,213,227,224,224,227,227,226,226,226,226,226,154,164,172,159,222,218,182,149,125,115,114,95,86,91,100,98,121,222,223,226,228,230,229,228,228,230,228,228,154,163,172,157,210,208,176,147,122,114,111,97,88,96,104,99,151,233,222,228,229,230,229,229,230,230,229,230,156,163,173,163,208,201,172,140,121,113,110,99,94,101,108,99,195,232,226,229,229,230,231,231,232,231,232,232,157,166,171,175,214,195,166,136,118,111,112,106,103,107,96,138,228,224,228,230,231,232,232,232,232,232,232,232,157,168,168,182,220,193,160,131,116,114,116,110,105,100,150,220,226,226,229,230,230,232,232,232,232,232,232,232,159,170,168,189,210,188,163,139,121,117,115,111,96,141,227,222,225,228,230,232,231,233,233,233,233,233,234,234,159,169,169,198,203,178,158,140,119,107,105,105,98,192,225,222,228,229,231,233,234,233,234,234,235,236,235,234,159,169,174,220,196,174,146,127,113,100,98,97,111,209,223,226,229,230,231,234,234,235,236,237,236,237,237,237,160,165,184,224,199,180,155,139,139,107,97,91,126,220,222,227,228,230,231,233,233,235,237,236,236,236,237,237,160,171,179,208,202,183,162,154,146,106,98,89,128,223,220,223,226,229,231,232,233,234,235,235,236,236,237,237
11,111,116,121,123,126,129,132,134,135,138,140,140,142,144,146,147,147,149,150,151,151,152,153,153,153,152,152,152,112,117,122,125,128,130,132,134,136,139,140,143,144,146,147,148,148,150,151,153,153,154,154,154,153,154,154,154,113,118,123,127,129,131,133,136,138,140,141,144,146,147,148,148,152,153,152,154,155,155,155,155,154,154,155,154,114,119,123,127,130,132,134,136,138,140,143,145,146,148,148,150,136,149,154,155,155,155,155,156,156,156,156,156,115,119,123,127,130,133,134,137,140,142,144,146,147,149,149,157,114,116,160,154,156,156,157,157,158,157,156,156,114,119,124,128,131,133,135,137,140,144,146,147,148,149,148,163,117,105,162,155,157,157,157,158,157,157,157,157,116,120,124,129,132,134,136,138,141,144,146,147,149,150,150,166,100,115,163,156,157,158,159,159,158,158,157,158,116,121,125,129,133,134,136,139,141,144,146,148,149,148,157,165,95,129,163,158,159,160,159,160,159,159,159,158,116,122,127,129,133,135,137,140,141,143,146,148,149,150,167,144,91,142,162,158,159,160,160,160,159,160,159,159,117,122,127,130,133,135,138,140,142,144,147,147,148,149,166,109,93,157,159,158,159,160,160,160,160,160,160,159,117,122,126,130,135,136,138,141,145,145,143,154,164,115,112,95,108,164,157,159,160,160,160,160,160,160,160,159,118,122,126,130,133,136,142,140,132,160,142,115,141,114,85,84,137,163,158,160,160,160,161,161,161,161,161,160,117,122,128,129,139,166,166,148,92,129,140,88,115,111,79,81,156,159,159,161,161,161,161,161,162,161,160,161,118,122,126,134,162,141,153,150,91,119,124,87,136,106,66,97,166,158,160,161,161,161,162,163,163,162,161,160,119,123,124,145,142,120,134,145,89,118,107,94,134,92,60,115,167,158,160,160,161,162,162,163,162,163,162,160,119,124,128,159,134,102,113,133,82,108,92,101,118,81,60,126,165,158,159,160,163,164,164,162,161,163,162,161,120,120,141,165,135,107,113,100,78,104,76,107,107,71,54,129,168,159,161,160,155,152,154,165,166,163,163,162,121,120,161,159,132,111,101,90,92,97,60,126,90,57,64,104,157,155,151,147,140,134,119,121,155,166,162,163,119,124,172,152,130,115,98,81,111,85,47,95,83,89,110,109,130,147,152,147,134,117,110,102,96,160,164,163,119,127,167,152,138,123,103,94,104,108,119,126,137,138,129,134,145,136,120,112,108,123,140,133,116,157,165,163,119,125,161,154,143,130,109,110,131,151,144,141,139,136,123,118,115,98,117,144,160,168,168,167,167,165,164,164,118,125,171,157,143,130,111,116,142,147,134,140,135,125,99,89,105,143,168,167,164,163,163,164,164,165,165,164,117,133,177,145,134,118,110,117,135,134,134,131,118,89,81,125,161,166,162,163,163,164,165,165,165,165,165,165,113,144,159,125,123,116,116,119,119,124,125,106,78,91,144,164,160,161,162,163,163,164,165,165,164,165,166,164,112,150,154,127,123,130,121,122,110,110,100,74,111,157,159,155,158,160,160,160,161,162,163,163,163,161,162,164,115,160,160,128,122,144,126,115,100,92,76,121,159,154,154,156,157,159,159,160,161,161,162,162,163,174,178,180,120,166,161,123,123,145,123,106,90,70,107,157,149,153,154,155,157,158,159,160,160,160,163,161,180,188,188,177,120,167,161,119,125,143,121,106,80,70,141,149,150,152,153,154,156,157,158,159,160,161,162,162,155,132,165,176
3,51,44,0,30,53,66,73,84,91,95,99,102,105,107,110,112,114,116,119,119,121,123,124,126,127,128,127,128,57,40,0,36,57,68,76,86,92,97,102,105,107,108,110,113,116,115,116,122,122,125,126,127,128,129,130,130,63,35,1,40,59,69,79,89,94,98,103,106,107,110,113,114,117,125,83,116,126,126,127,128,128,129,131,130,64,26,4,44,61,70,79,89,94,99,104,107,108,110,114,116,121,138,75,101,130,126,128,129,130,131,132,132,66,18,10,46,62,71,81,90,96,100,104,107,109,112,115,117,123,136,72,101,130,127,129,131,131,132,132,133,65,11,17,49,63,73,83,92,96,102,106,108,111,114,117,117,127,139,74,106,131,127,130,131,132,133,133,134,63,5,22,51,65,73,84,93,98,104,108,111,115,113,113,114,136,129,71,108,134,130,132,133,134,135,135,135,59,2,29,53,67,75,87,95,100,105,106,109,109,140,126,93,128,107,65,110,135,132,133,134,135,135,135,136,54,2,34,56,69,78,87,95,101,103,123,129,100,116,147,106,82,98,63,119,135,133,135,135,135,137,138,138,46,2,39,57,69,79,89,97,102,100,129,158,135,86,113,117,86,108,69,128,133,134,135,136,138,139,139,139,37,4,43,60,71,81,92,97,105,141,126,95,127,103,79,140,119,102,63,124,137,134,137,138,138,139,140,140,28,8,46,61,73,82,93,96,112,152,139,96,76,116,76,79,93,107,66,85,138,136,138,139,140,140,141,141,19,13,49,62,74,83,94,95,121,128,88,115,99,100,105,44,68,122,115,75,105,143,138,140,141,141,142,142,11,19,50,65,75,84,96,94,128,122,61,77,79,71,80,76,71,107,130,79,100,146,139,141,141,142,143,142,3,25,52,65,76,85,96,96,131,123,102,80,55,68,81,93,77,112,131,73,116,146,141,142,143,144,143,144,0,30,54,66,75,86,95,96,140,134,100,71,60,78,98,99,87,132,137,74,128,144,141,143,144,144,144,145,0,35,55,68,77,86,95,98,139,124,84,67,70,88,108,111,125,147,125,72,132,143,142,143,144,145,145,145,1,38,56,68,78,86,97,98,136,130,96,77,72,94,115,133,152,137,111,70,134,143,144,145,145,146,145,146,5,40,58,70,79,88,97,97,135,136,104,82,77,93,126,155,153,123,88,77,143,144,145,145,145,145,146,147,9,42,59,71,79,89,97,97,133,143,117,87,83,96,142,154,146,122,70,83,148,142,145,145,145,146,146,146,12,44,59,70,79,89,97,98,126,143,119,98,91,101,149,152,138,117,64,94,150,143,146,145,146,146,147,146,16,47,60,70,79,89,96,101,115,134,122,113,103,105,143,145,127,109,60,114,149,143,145,146,146,147,147,147,19,48,62,71,80,90,96,102,108,128,129,119,114,102,129,130,115,93,63,134,146,144,146,146,147,147,147,147,23,49,62,71,80,90,96,102,106,132,134,122,109,95,110,114,107,86,78,147,143,145,146,147,147,148,147,147,26,50,62,71,80,90,96,103,106,143,139,119,104,93,105,103,108,73,111,148,142,145,146,147,148,148,148,148,29,50,63,71,80,90,97,103,109,152,139,121,108,98,111,102,93,69,136,143,144,145,146,147,147,148,148,148,33,52,63,72,80,90,96,102,111,150,146,134,106,110,119,94,69,81,145,141,144,145,147,147,147,149,149,148,36,53,64,73,81,90,96,102,112,151,154,135,105,117,112,88,58,94,147,142,144,145,146,147,148,149,150,150
6,118,120,123,124,126,130,131,133,136,138,139,140,141,141,142,144,144,144,144,143,144,145,146,147,147,146,146,146,120,122,123,124,126,130,132,134,137,138,138,139,141,140,143,145,144,145,146,145,145,145,146,145,146,147,146,146,120,121,123,125,128,131,132,134,136,136,138,139,142,142,142,144,144,142,144,145,143,145,145,145,146,147,147,146,121,122,124,127,130,131,132,136,137,138,140,141,143,145,145,144,146,147,147,146,145,145,147,146,146,151,148,145,122,124,126,129,131,133,134,138,139,140,142,143,144,143,139,130,115,118,130,123,121,118,100,130,138,132,148,147,124,125,127,131,132,134,137,138,139,140,141,144,145,143,139,122,94,99,113,116,108,103,89,100,121,91,147,148,124,125,126,131,133,135,138,138,139,141,149,154,150,145,129,106,93,80,77,81,75,76,75,72,75,109,154,149,125,128,129,131,134,136,139,143,144,148,145,136,124,106,84,65,63,76,79,85,101,110,117,124,135,153,150,150,126,129,131,133,133,139,149,137,126,121,121,115,113,105,93,73,85,119,135,157,157,160,160,157,155,153,152,151,129,131,131,135,132,162,159,119,99,100,105,111,119,121,117,111,103,95,79,143,157,154,155,154,154,154,154,153,129,131,132,136,134,176,147,115,115,107,102,95,96,100,100,95,87,85,53,127,164,155,157,156,156,156,155,155,129,131,135,138,137,175,140,132,142,119,104,105,103,110,112,105,87,77,65,143,162,158,158,158,158,158,158,157,131,131,135,136,143,175,160,171,155,120,99,99,100,104,105,101,98,93,74,111,170,159,160,159,160,160,159,158,131,132,137,136,150,176,172,169,152,136,125,105,86,72,83,88,83,77,70,50,128,168,160,161,160,161,161,160,132,134,139,135,158,176,170,164,164,162,145,115,97,92,103,99,81,69,69,36,76,172,161,162,161,162,162,161,133,135,139,135,167,179,173,172,173,158,144,126,106,97,102,97,88,77,82,47,103,172,161,162,162,164,164,162,133,136,138,138,173,178,172,173,170,158,145,120,106,104,100,98,92,87,72,93,163,164,163,163,162,165,164,163,134,136,137,141,178,173,172,171,169,154,128,116,108,105,92,87,91,87,67,145,170,162,164,163,163,165,165,163,136,138,138,145,182,173,171,169,163,129,119,120,109,89,78,40,65,74,80,164,164,164,165,166,166,167,166,164,136,139,137,151,176,168,169,166,149,117,112,119,106,69,37,23,48,61,126,171,162,165,166,167,167,166,165,164,137,139,135,158,171,164,165,155,129,108,118,115,90,74,40,48,86,125,167,166,167,167,167,167,167,166,167,165,138,140,137,164,167,158,159,144,123,110,125,112,88,70,47,72,172,170,166,167,168,168,169,168,167,168,168,166,138,142,138,165,162,160,152,136,119,125,132,106,87,69,47,101,178,164,168,168,169,169,169,168,168,169,168,167,138,141,136,160,162,151,137,132,117,130,124,98,81,65,56,148,173,169,169,170,170,170,169,169,170,170,168,167,139,142,137,153,154,146,135,121,117,130,111,90,77,55,106,175,167,171,170,171,171,170,171,170,170,168,167,167,139,142,132,160,160,144,136,113,121,124,103,89,64,82,170,171,170,172,172,171,171,171,171,170,170,169,169,168,139,136,134,164,154,140,130,115,122,114,93,81,56,136,179,171,173,173,173,171,170,172,172,170,170,170,170,169,142,133,138,157,145,126,117,118,113,103,84,71,61,155,174,172,174,174,174,173,173,174,173,172,170,170,170,170
18,169,172,174,175,177,178,181,183,183,183,185,188,189,189,190,192,192,193,193,195,195,195,196,194,193,194,194,194,170,172,176,177,178,180,182,183,184,186,187,188,189,190,191,193,194,193,193,194,196,197,198,197,196,196,195,195,172,174,176,178,180,181,182,184,185,186,187,188,188,190,191,196,198,193,193,195,194,195,198,198,198,196,195,195,172,173,179,179,181,182,182,185,187,187,189,188,191,191,193,180,175,200,194,198,197,196,199,198,198,198,198,198,172,174,180,179,180,182,183,184,187,189,190,192,196,192,206,177,122,162,202,197,197,201,197,197,198,198,199,200,172,175,179,180,180,181,185,186,186,189,192,183,167,190,197,191,127,77,174,201,175,163,192,201,199,200,198,198,172,174,178,180,181,182,187,189,189,193,208,186,139,142,203,172,144,93,109,156,146,127,130,209,199,201,199,199,173,175,178,180,181,182,185,184,177,209,210,185,148,121,221,192,175,136,94,101,130,124,82,186,204,200,200,199,174,176,180,182,182,181,201,188,136,184,213,178,143,142,219,218,197,146,100,83,112,112,72,152,213,200,201,200,175,177,180,183,179,197,223,189,132,167,215,178,132,163,208,211,194,147,95,70,89,102,67,154,213,200,202,202,177,178,179,182,179,206,226,190,133,153,214,182,120,179,208,209,189,143,94,59,75,87,67,174,210,200,203,203,177,180,181,182,183,196,214,193,137,141,214,180,106,141,191,218,185,136,89,59,66,70,83,194,207,201,204,202,177,180,183,178,191,210,192,190,149,121,190,165,105,61,156,226,176,130,82,63,59,59,113,213,202,204,204,206,176,179,182,184,199,189,166,156,140,83,131,130,91,16,175,229,173,122,78,63,65,63,131,216,200,204,205,207,178,179,179,196,213,173,157,125,104,69,99,115,55,72,228,211,168,124,83,56,65,63,147,217,203,206,206,206,179,182,179,198,223,187,162,133,128,72,99,116,136,211,228,200,162,125,86,68,71,74,189,210,205,207,207,207,180,184,176,211,219,184,162,139,129,107,113,175,242,212,195,189,155,114,82,72,59,101,215,203,206,206,206,205,182,180,181,228,210,184,162,143,140,141,165,241,234,203,173,172,143,100,78,76,70,173,211,204,204,205,204,203,182,179,192,233,204,184,174,153,150,144,219,244,226,194,157,156,131,87,81,70,153,214,204,206,205,206,205,203,182,178,202,233,203,194,184,153,156,193,242,233,211,185,148,140,120,84,69,122,215,204,206,207,207,206,206,205,183,179,204,234,206,200,189,156,180,226,228,222,204,168,139,128,106,76,82,199,208,206,206,206,207,207,207,207,183,181,198,229,210,203,188,167,194,225,216,201,197,155,132,117,95,64,150,215,205,207,207,207,207,207,208,207,184,181,195,229,213,202,186,182,193,220,200,192,172,151,118,107,81,89,208,206,207,207,208,209,210,207,206,207,184,179,200,225,204,193,182,187,192,208,186,188,154,143,107,97,64,140,220,205,208,209,208,209,210,208,206,206,183,178,208,208,189,186,179,185,196,195,172,186,166,125,102,88,68,187,210,206,207,208,208,209,210,209,208,206,184,180,210,186,178,183,180,183,196,186,172,186,165,117,96,70,116,218,203,208,208,208,208,209,209,208,207,208,183,180,220,201,189,191,194,192,201,179,168,173,146,111,85,80,193,210,208,210,209,209,209,210,210,208,207,209,180,184,231,213,192,196,203,197,205,160,158,158,127,101,70,158,217,206,208,209,209,210,210,210,210,210,209,209
4,138,141,145,148,150,152,154,155,157,158,158,160,161,162,163,163,162,161,162,161,161,162,160,160,160,159,159,159,138,142,146,149,150,151,153,156,158,159,159,161,162,162,163,165,165,161,165,165,163,162,161,161,161,161,161,160,139,144,147,149,151,152,155,157,158,160,160,162,161,171,169,148,152,175,156,152,166,164,163,163,162,161,160,160,141,145,147,150,152,154,155,158,159,158,166,159,165,197,166,146,133,190,154,124,142,169,166,165,164,163,161,161,142,146,148,151,153,155,157,159,157,178,203,174,149,199,173,142,153,195,158,119,111,165,135,162,167,163,163,162,144,147,149,153,154,156,158,160,156,201,217,198,130,166,191,132,165,200,156,110,162,158,105,113,169,162,162,163,143,148,152,153,157,158,159,158,169,205,206,186,122,152,192,129,166,188,144,153,177,127,103,80,151,168,163,163,145,149,153,154,157,159,161,155,189,191,189,176,110,135,169,170,167,175,195,209,162,102,88,79,150,169,164,165,145,149,152,156,158,160,162,156,201,185,175,177,109,111,157,166,187,198,207,193,169,124,82,76,160,168,166,167,145,149,154,157,158,161,159,173,211,183,155,173,114,92,153,107,138,173,178,165,178,141,91,84,168,169,167,167,146,150,153,156,158,163,157,196,199,160,146,131,92,97,158,90,120,162,137,166,186,153,100,107,175,168,168,168,147,151,154,158,159,161,162,211,188,148,132,127,105,108,125,96,116,157,82,173,204,168,115,108,177,168,169,168,149,152,155,158,160,160,168,221,189,148,125,113,100,111,106,116,122,138,122,171,213,181,133,87,158,174,169,170,149,152,156,158,162,159,179,226,188,149,121,108,103,115,114,150,148,170,195,180,193,175,136,93,124,179,169,171,149,153,156,159,163,159,190,227,188,143,122,120,111,105,117,156,169,196,188,189,162,151,144,105,117,180,170,172,149,154,158,160,164,158,199,224,187,141,140,138,113,111,150,189,200,195,187,175,146,123,133,98,140,179,172,172,149,152,155,158,162,158,204,222,185,158,168,145,130,173,205,214,199,193,181,156,132,112,103,100,169,173,172,171,148,152,156,158,162,160,208,221,198,186,182,148,154,207,211,220,202,180,166,144,125,107,86,138,180,171,172,172,149,153,156,159,164,160,207,224,211,191,180,163,157,211,214,215,194,160,152,135,122,96,101,175,174,173,174,174,149,153,156,160,164,160,200,226,213,194,176,166,168,214,211,198,179,150,137,128,112,86,145,181,175,174,174,174,150,155,157,161,165,159,190,224,204,193,177,167,173,200,194,176,159,140,134,124,92,106,179,176,177,175,175,174,151,155,157,160,165,160,189,216,191,186,184,171,170,183,181,164,143,133,132,111,86,156,181,174,176,176,174,173,150,152,157,160,165,161,184,206,180,185,186,167,161,182,179,161,134,123,123,93,126,182,175,175,174,174,173,172,150,155,160,162,166,164,180,202,181,184,179,164,152,180,180,147,118,114,106,111,178,181,180,180,179,178,178,177,126,127,128,128,131,126,149,212,191,189,175,167,148,171,173,131,110,108,95,112,133,127,127,127,125,125,125,128,93,91,90,90,93,86,112,220,205,195,182,175,150,162,171,130,107,98,94,86,84,84,83,82,82,83,81,77,100,100,99,100,102,100,107,213,212,193,182,179,148,147,176,135,103,93,90,94,94,94,92,91,92,91,88,150,100,101,100,101,102,101,97,201,211,188,173,176,150,137,169,132,100,91,89,94,95,95,92,92,94,83,154,209
22,119,125,129,132,138,143,148,151,154,157,159,160,161,162,163,163,161,160,161,160,159,159,158,158,157,156,155,153,121,127,131,134,140,146,149,152,154,157,159,160,163,164,164,165,164,163,163,162,161,160,159,159,158,158,156,155,123,129,131,135,142,148,150,153,157,158,160,163,164,164,164,162,165,165,163,164,163,160,162,160,159,159,157,157,123,129,132,137,143,148,152,156,156,157,161,164,164,166,166,199,128,153,167,163,169,170,146,163,160,160,159,157,124,130,134,138,145,150,154,156,161,204,128,157,169,166,171,212,110,141,173,160,191,165,114,167,161,160,160,159,127,131,133,139,146,152,155,157,164,214,120,149,172,165,178,202,115,140,174,162,199,141,119,170,162,162,161,160,128,132,134,141,147,153,157,160,160,209,141,139,176,165,183,208,125,143,174,172,199,129,123,172,163,163,162,161,128,133,137,143,149,154,158,162,159,218,171,131,178,167,187,208,130,146,172,187,207,124,137,173,165,165,165,162,129,135,138,144,151,156,158,164,158,212,196,128,175,170,191,199,131,144,174,205,201,121,150,173,167,167,166,164,130,136,140,145,151,157,160,167,160,205,211,126,164,172,195,203,133,139,182,216,180,109,159,173,168,168,167,165,131,137,141,146,151,159,163,167,161,193,230,158,148,176,201,210,136,140,204,218,156,104,170,173,170,169,168,166,133,138,142,148,154,160,165,164,180,195,170,163,139,179,201,203,126,157,229,207,136,121,179,173,171,170,169,167,134,139,142,150,157,161,167,163,222,228,191,158,108,166,190,185,171,196,220,195,115,148,181,173,173,172,171,170,135,140,144,151,159,163,168,170,228,237,221,171,100,104,162,177,198,193,184,157,111,174,179,176,175,174,172,171,136,141,145,153,160,165,168,178,219,207,197,204,158,115,111,140,173,175,166,114,125,186,178,179,177,175,174,172,136,141,145,154,161,166,168,181,231,205,180,218,216,166,106,92,138,162,152,101,136,188,179,180,178,178,175,173,137,142,146,154,162,167,166,193,238,191,167,166,220,202,153,96,94,134,143,105,149,190,181,181,180,180,178,175,137,142,147,155,164,169,166,205,235,188,147,120,169,212,194,146,91,93,114,98,170,189,183,183,183,181,179,178,138,143,146,155,162,170,168,214,241,191,139,160,146,203,221,190,140,88,83,101,184,187,185,184,182,182,181,179,138,142,146,155,162,169,167,215,236,194,134,171,170,224,223,205,172,127,84,109,193,185,185,184,182,182,180,178,138,142,146,156,164,170,168,213,238,184,146,172,195,240,224,204,185,136,80,119,197,185,186,186,184,182,181,180,138,142,147,157,165,172,169,211,243,174,165,166,217,244,229,198,163,122,79,131,198,187,188,186,186,184,182,181,137,142,147,156,164,171,170,205,241,175,181,164,233,240,224,201,144,106,84,150,196,187,187,184,183,183,181,179,138,143,149,157,166,174,174,203,239,186,190,166,241,231,219,189,137,100,90,180,200,195,193,192,191,189,188,188,122,125,128,131,133,136,133,157,237,206,198,175,235,219,205,168,124,100,95,134,136,134,134,133,133,135,128,119,102,102,102,103,101,100,98,111,232,213,197,170,218,206,174,145,114,101,95,91,89,88,88,87,87,76,84,139,109,109,110,111,109,110,109,116,220,199,183,163,184,185,151,132,121,106,97,101,100,99,98,100,98,124,195,203,109,110,110,110,109,109,109,107,195,177,162,155,158,170,158,134,123,108,100,101,100,100,99,93,143,212,200,172
15,14,52,60,76,86,94,104,114,125,130,135,140,144,147,150,153,156,158,160,163,165,167,168,169,171,173,175,177,16,54,61,77,86,96,104,115,126,130,136,141,145,149,151,154,158,159,162,164,167,168,168,170,172,175,177,179,20,56,65,79,88,97,104,116,128,131,136,142,145,148,152,156,158,160,162,165,167,168,169,173,174,177,179,179,26,58,66,81,90,94,104,118,129,131,136,141,145,149,153,157,159,159,163,166,167,169,172,174,175,177,178,180,33,60,67,80,88,118,114,115,128,134,138,142,145,150,154,157,159,160,163,166,168,171,173,175,177,178,178,181,38,60,71,79,96,168,130,111,104,120,138,145,146,150,154,158,159,162,165,166,168,172,173,175,177,178,179,182,45,61,71,83,94,138,138,125,113,99,106,128,146,155,155,158,160,164,166,167,170,173,175,177,177,177,178,182,49,60,72,86,92,102,119,119,117,110,113,111,111,125,153,162,160,163,166,168,170,173,175,177,177,178,180,183,51,61,74,83,93,102,109,118,106,111,120,126,120,108,102,132,159,167,167,167,169,173,176,178,179,180,182,185,54,63,75,85,94,104,112,125,124,123,122,122,123,119,107,102,108,139,167,172,171,173,176,177,179,180,184,185,57,66,78,87,95,103,111,124,131,135,138,123,107,111,123,124,111,100,110,143,170,178,175,177,178,181,184,186,57,66,78,87,96,104,114,127,130,135,142,144,132,121,103,104,111,105,103,110,109,144,179,178,180,182,184,186,58,66,79,89,96,104,117,128,130,137,154,118,103,125,120,87,78,94,118,123,124,98,125,183,179,184,185,186,58,68,80,90,97,104,116,128,128,147,153,122,91,88,117,117,108,119,121,131,138,118,80,136,192,182,186,187,60,68,82,90,98,106,118,129,129,142,128,112,113,116,126,104,115,122,109,124,133,122,111,87,173,187,185,188,61,70,82,91,99,105,117,127,131,136,141,116,128,152,140,111,83,84,69,115,141,121,136,97,111,193,184,186,61,72,83,90,98,106,117,127,132,131,168,135,117,149,136,115,110,99,79,95,104,115,125,113,73,161,192,185,62,73,82,89,99,105,117,129,128,146,161,114,81,88,122,133,131,127,112,95,91,90,99,108,87,102,194,186,62,73,82,90,99,106,119,129,126,159,134,88,77,31,39,95,143,145,136,126,119,92,76,90,93,68,163,195,63,74,84,91,99,107,121,125,134,166,111,68,63,44,29,17,72,148,151,145,135,102,76,84,88,69,107,199,64,75,84,92,101,108,123,120,146,151,82,67,103,88,67,38,5,102,156,146,134,109,94,88,86,82,70,167,64,74,83,91,102,110,121,132,153,108,61,124,137,107,104,88,24,51,159,145,136,125,116,102,91,87,74,102,65,76,85,93,102,109,121,138,112,75,95,160,148,115,116,111,89,63,146,153,147,139,132,117,99,89,86,75,68,77,85,93,100,109,124,128,113,114,141,141,139,128,106,107,106,96,123,153,152,147,137,122,110,98,91,86,68,77,85,93,100,111,122,126,135,142,144,148,140,119,92,88,83,111,116,132,147,143,135,125,114,103,97,91,68,77,85,94,99,113,123,126,131,138,142,147,154,156,145,133,114,112,127,102,124,133,130,125,117,107,96,93,67,77,84,91,98,111,123,127,132,139,142,147,152,156,162,164,163,165,149,126,118,134,128,124,120,112,99,95,68,77,82,89,97,109,121,124,130,138,142,147,152,156,158,160,165,177,179,166,151,149,132,117,116,119,112,104
1,158,160,163,164,166,167,167,168,171,170,170,171,171,168,171,175,170,172,172,171,170,171,171,171,171,171,170,170,160,163,166,167,168,170,171,171,172,172,171,173,175,178,158,142,175,172,173,173,172,172,173,173,175,173,171,171,164,167,168,171,171,172,172,172,174,175,173,176,164,182,172,86,176,182,173,174,174,174,175,175,176,175,174,173,167,169,169,172,173,174,174,174,176,179,175,195,153,136,181,83,146,159,177,177,178,178,178,178,179,178,176,176,168,170,173,175,175,177,177,177,179,180,175,199,149,131,183,88,113,117,132,189,178,180,180,180,181,180,179,178,170,173,174,176,178,178,180,180,180,181,180,199,153,133,195,117,112,144,93,189,180,181,181,182,181,181,181,180,172,175,176,178,180,180,182,181,182,182,161,201,169,120,198,137,105,154,90,171,187,184,184,184,182,182,182,181,174,177,179,180,180,181,184,184,184,193,121,164,190,110,184,148,113,174,114,145,192,185,187,186,186,185,184,183,176,178,179,181,183,184,186,185,188,197,111,156,191,110,167,159,121,191,145,118,195,186,188,188,187,187,186,185,177,179,181,182,185,186,188,187,191,204,119,158,189,114,173,173,119,168,174,107,180,193,190,189,188,188,188,187,180,181,183,185,186,187,191,188,194,204,120,169,209,131,157,191,116,146,190,116,153,202,190,191,191,190,190,190,180,182,184,185,187,189,191,190,196,194,119,160,210,126,122,187,110,146,202,132,127,203,190,193,193,192,192,191,181,184,186,187,189,191,192,191,199,192,141,123,199,98,110,179,110,126,198,149,111,198,195,195,194,194,193,191,181,184,186,188,190,191,192,190,205,196,133,93,187,165,147,140,161,172,147,132,104,186,200,195,195,195,195,193,183,185,187,190,192,191,194,192,205,186,133,137,136,200,152,154,189,158,129,137,95,156,206,194,196,197,196,195,185,187,188,190,193,192,193,195,202,184,176,171,110,166,173,203,192,171,127,123,106,110,209,197,199,199,197,196,185,187,190,192,192,194,194,196,202,179,164,154,115,164,204,201,173,199,181,135,102,84,195,203,198,199,200,199,184,188,190,193,193,194,194,198,211,173,147,139,168,182,172,153,122,210,215,192,143,73,170,209,198,201,200,200,184,187,188,191,192,193,193,198,220,181,138,141,131,127,119,111,147,193,210,189,162,110,147,214,200,201,200,200,184,186,188,189,192,192,193,198,228,199,136,136,135,135,150,181,215,193,187,175,137,103,129,213,199,201,200,200,185,187,190,191,192,193,193,196,226,216,146,141,159,156,208,219,214,204,183,163,128,73,128,213,199,201,200,200,186,187,190,193,193,194,194,196,223,230,167,151,171,153,202,222,220,208,178,150,120,69,122,214,200,201,201,201,184,187,189,193,193,194,195,195,219,231,183,163,188,152,199,229,227,208,170,139,111,69,140,214,200,202,202,201,185,186,189,192,193,194,195,192,210,227,198,178,199,153,184,231,225,195,162,132,101,73,175,211,203,204,202,202,191,192,194,196,198,199,200,196,203,221,211,193,190,168,162,230,220,187,156,124,90,79,200,206,204,204,202,203,153,158,163,169,171,173,178,180,184,216,223,208,182,171,142,218,210,177,145,114,83,99,217,210,214,214,206,204,83,87,89,90,91,94,97,99,96,201,220,197,175,162,138,190,194,164,131,108,88,99,153,155,156,157,184,210,90,92,93,93,94,94,93,97,81,171,211,183,171,160,142,170,182,158,122,105,95,87,86,85,110,168,189,198
16,93,95,99,104,113,123,129,136,141,144,145,147,151,156,160,164,166,168,169,171,173,174,176,177,178,179,181,182,93,95,100,105,114,124,131,137,142,144,145,148,153,158,159,162,166,169,171,172,174,175,177,178,180,180,180,182,94,96,101,105,115,125,132,138,143,144,146,150,154,158,160,164,166,169,171,173,174,176,178,179,180,181,182,183,94,97,101,105,117,126,133,138,143,146,149,152,155,158,163,166,168,170,171,173,175,178,179,180,181,182,182,183,94,98,100,106,118,129,135,141,145,147,150,152,158,162,163,167,171,172,173,175,178,179,181,181,182,183,183,183,95,98,101,108,120,130,138,141,145,148,149,148,149,143,132,126,138,170,175,176,179,181,182,182,184,185,185,185,97,99,103,111,121,130,135,143,152,146,134,122,111,100,93,95,90,109,168,181,181,182,184,185,186,186,187,188,97,100,102,111,120,131,147,162,154,132,105,101,98,88,81,88,96,80,100,172,185,183,187,188,189,188,189,189,97,101,104,109,123,154,167,143,119,98,82,93,94,84,79,88,94,81,87,102,184,185,188,189,189,190,191,190,98,101,98,128,155,148,116,102,94,82,80,96,94,82,85,91,91,84,97,75,130,194,189,190,190,191,192,192,97,101,136,165,132,103,84,85,86,74,89,100,91,83,93,92,84,93,97,87,78,179,190,190,193,195,195,195,96,176,184,130,97,81,74,77,101,127,99,82,63,85,99,88,68,97,96,85,69,122,198,194,194,195,195,196,118,207,149,110,85,72,92,129,192,189,115,63,63,67,89,74,59,105,94,82,77,68,155,199,195,195,196,197,103,162,121,92,92,141,201,197,207,183,131,79,70,66,56,39,68,112,91,93,92,84,84,165,200,196,197,199,98,106,106,102,184,202,205,194,206,174,134,94,77,68,30,17,74,110,89,101,103,101,89,95,197,200,199,199,101,102,105,127,207,190,205,198,201,160,120,96,91,81,70,26,59,102,89,100,109,97,84,70,164,204,200,200,101,104,102,147,215,191,211,200,182,135,95,96,100,93,84,63,39,84,98,138,125,92,77,64,123,209,201,202,102,103,100,176,217,188,210,195,160,114,100,105,108,103,88,76,42,56,145,177,175,154,117,65,122,210,203,203,103,104,102,184,216,186,184,171,118,89,91,111,107,95,89,80,71,58,169,196,197,196,188,147,154,205,204,205,102,103,104,159,220,181,129,118,83,79,88,93,89,81,77,74,87,72,164,203,200,203,205,187,143,162,208,206,102,103,109,129,189,129,94,87,85,94,97,90,74,70,74,69,73,66,134,209,196,199,198,173,132,114,208,206,102,103,111,122,144,102,85,99,94,84,77,72,65,62,64,61,75,92,101,164,183,187,183,158,114,140,210,208,104,105,111,124,134,134,91,87,73,89,94,102,93,71,60,80,91,98,90,77,100,147,161,143,155,203,210,209,103,104,112,125,140,128,81,77,70,76,141,115,91,81,67,55,54,46,44,40,25,104,208,204,211,212,209,210,102,105,112,125,139,109,81,75,75,64,43,62,44,31,21,17,17,18,18,18,10,78,216,210,210,210,210,211,102,105,113,127,130,93,79,72,69,76,34,11,31,29,21,15,14,15,16,16,11,158,215,209,210,210,212,213,102,105,113,128,113,84,76,69,66,68,61,6,22,31,22,16,15,15,16,12,38,203,209,210,212,213,213,214,101,105,113,126,93,79,74,67,63,67,70,14,10,25,21,17,15,14,15,6,89,221,210,210,213,214,214,214
7,177,180,181,182,183,183,186,186,186,186,186,186,186,186,185,185,185,184,185,183,183,182,181,181,179,179,178,177,179,181,182,183,184,184,186,186,187,187,188,187,187,187,186,185,186,184,184,185,184,183,182,181,181,180,180,179,180,182,183,184,186,187,188,188,189,190,189,188,188,189,189,187,186,186,186,186,185,184,183,182,181,181,181,180,181,183,185,185,187,188,190,190,190,190,190,190,191,190,189,188,187,188,186,186,186,185,184,183,183,182,181,181,182,184,186,187,188,190,192,192,191,192,191,191,192,191,190,189,189,188,188,187,186,186,185,185,184,183,183,182,184,186,189,189,191,193,192,193,193,193,193,192,191,192,192,191,190,189,189,188,186,187,186,185,185,184,184,182,186,187,190,190,192,195,196,199,197,196,196,197,197,197,197,195,195,194,193,194,192,189,188,187,186,186,184,183,186,188,191,192,193,192,180,175,183,187,181,173,174,175,180,180,177,175,179,170,170,183,187,188,188,187,185,185,188,190,192,193,192,179,154,135,136,147,156,149,142,134,146,161,160,148,158,137,157,189,166,187,190,188,186,185,189,191,190,188,181,172,165,155,132,119,134,140,143,131,135,150,149,145,143,139,148,168,154,187,192,189,187,186,187,185,178,173,175,178,179,162,121,108,120,130,124,105,114,111,115,123,118,116,122,126,160,192,179,188,189,187,180,177,176,176,170,162,171,147,103,112,122,136,135,124,110,120,146,160,152,137,148,149,176,210,152,175,194,188,179,176,173,168,160,155,159,153,120,99,104,119,125,134,129,119,147,163,155,146,145,143,135,148,148,189,192,190,178,171,165,162,162,160,160,162,140,100,79,80,90,108,112,110,122,120,123,117,122,132,143,162,191,196,192,191,172,166,162,160,159,158,159,152,128,100,80,89,148,129,126,133,144,154,163,174,190,198,200,201,196,194,193,193,167,160,155,154,149,148,146,139,121,94,87,79,174,217,202,205,209,209,207,204,201,199,197,197,197,196,194,193,162,158,155,154,153,151,149,146,130,95,84,83,102,210,204,205,204,203,202,200,200,200,199,198,197,197,195,193,162,160,156,156,152,152,155,156,133,96,87,87,85,198,210,205,205,204,203,202,202,202,201,199,198,198,196,195,167,168,164,156,149,141,145,143,123,102,97,91,76,170,215,205,205,204,205,204,203,203,202,200,200,198,197,196,168,168,165,155,148,139,133,128,112,105,105,97,81,105,215,207,207,206,206,204,204,203,203,201,201,199,198,196,162,159,150,138,132,126,119,114,105,102,107,96,75,124,216,207,207,207,206,204,204,203,202,202,201,199,198,197,150,146,131,116,105,102,106,89,87,96,97,116,162,197,210,207,207,206,205,204,204,203,203,202,202,200,198,197,115,125,117,100,117,154,193,168,139,145,174,205,217,210,209,209,208,207,206,205,204,204,203,202,202,201,198,197,57,67,62,128,213,211,211,216,216,215,216,212,208,209,210,209,209,208,207,206,206,205,203,203,202,201,199,199,42,41,46,189,212,206,208,208,208,210,210,210,211,210,210,209,209,208,208,207,206,205,204,204,202,202,199,197,50,37,116,215,204,208,208,210,211,212,211,211,212,210,210,209,209,208,208,207,205,203,204,203,203,203,203,203,56,45,192,211,207,210,211,212,213,213,214,214,214,213,212,211,211,211,210,210,209,207,208,208,202,198,189,178,58,51,183,197,193,195,197,197,197,198,197,197,196,197,195,194,193,193,192,191,190,189,179,147,114,101,86,74
19,123,127,131,135,140,144,147,149,152,154,156,159,159,160,160,161,163,162,160,161,160,158,158,158,157,156,156,156,125,130,133,137,141,145,148,150,153,155,157,159,160,161,161,163,163,161,161,161,161,161,161,160,158,158,157,158,125,130,136,140,143,147,149,152,154,156,160,161,160,162,163,163,164,164,163,163,163,162,162,162,162,161,160,158,125,131,137,141,146,148,151,153,155,157,160,161,163,165,165,164,164,164,165,165,164,163,163,162,162,162,162,161,128,132,137,142,146,149,151,154,156,159,160,162,164,163,166,169,165,166,168,167,165,165,164,163,163,163,163,161,128,132,137,142,148,151,154,156,157,161,162,161,171,160,109,149,171,167,169,168,166,167,165,165,165,163,162,161,129,134,139,145,149,153,155,157,159,161,164,161,183,168,87,87,175,168,170,168,167,168,168,166,165,164,164,163,131,135,140,146,150,153,156,159,161,161,165,163,190,176,104,60,161,173,170,168,168,169,170,168,167,166,165,165,132,136,142,147,151,155,156,157,163,166,167,162,183,161,105,50,141,178,170,171,170,172,169,165,165,168,166,165,133,136,143,148,152,154,161,164,129,113,134,146,134,124,109,93,107,128,136,128,124,136,114,147,169,150,169,167,133,137,143,148,154,153,174,158,113,110,116,125,133,127,123,113,104,116,140,123,119,127,115,171,178,111,170,168,134,139,146,151,152,165,175,161,128,80,77,80,110,114,116,99,95,99,108,107,104,102,102,120,118,128,175,167,135,141,146,151,154,177,187,171,122,62,52,63,64,65,69,60,59,74,87,91,91,99,107,122,150,173,170,170,134,141,147,149,173,185,189,151,108,75,58,69,72,66,32,74,153,169,172,171,175,181,180,180,178,171,170,170,135,143,144,166,190,188,192,168,119,70,55,55,79,79,55,48,147,188,177,179,178,177,176,174,175,174,172,171,138,141,151,187,188,190,200,179,119,64,51,46,61,84,74,50,39,171,182,178,179,180,178,177,177,176,175,174,139,140,175,191,189,196,196,175,120,68,52,62,57,51,53,68,36,146,190,179,180,181,180,179,177,176,176,175,134,157,193,189,192,194,190,175,131,76,50,47,72,65,42,29,55,179,183,182,181,182,181,181,179,177,176,175,140,184,190,190,192,189,191,185,149,77,53,40,57,71,62,21,118,197,179,182,182,182,181,180,179,179,177,176,177,195,188,191,186,186,193,177,128,82,62,55,50,45,62,36,159,191,182,183,183,184,182,182,181,179,178,177,197,184,190,184,173,172,170,148,107,92,84,71,64,46,29,62,183,186,184,184,184,184,183,182,182,180,178,177,186,183,181,173,170,166,155,140,119,97,82,80,71,58,26,139,198,183,185,186,185,185,185,184,182,182,180,179,178,175,177,170,169,167,156,138,141,118,77,67,74,66,36,158,196,185,185,186,186,186,185,184,182,182,182,181,173,175,175,163,163,163,148,127,129,103,45,42,72,49,88,196,185,188,186,186,186,186,185,184,183,183,182,181,173,178,163,152,151,146,126,102,85,61,23,37,60,54,166,191,185,185,185,184,185,185,185,184,184,182,181,180,174,173,152,129,126,125,97,68,60,48,42,59,88,157,190,183,185,185,185,185,185,185,185,183,184,183,182,181,162,157,144,114,90,90,75,56,50,147,162,168,187,189,184,186,185,187,187,187,185,185,185,184,184,183,182,181,136,145,140,100,55,35,35,15,105,193,184,186,184,185,186,187,188,189,188,188,187,186,186,185,185,183,182,182
6,173,173,174,172,173,174,173,173,173,172,172,171,168,167,166,163,163,161,160,159,157,156,154,151,151,149,145,142,175,176,175,175,176,176,175,175,176,175,175,174,172,171,169,167,166,164,163,162,160,158,157,155,153,151,149,146,176,177,178,177,177,178,178,177,177,178,176,175,174,174,172,170,169,168,167,165,162,161,160,157,156,152,150,148,179,179,179,179,179,179,180,182,181,180,179,178,176,174,174,173,171,171,169,167,167,166,165,163,160,157,153,151,180,180,182,182,182,181,182,183,182,181,181,180,180,181,179,178,177,174,169,163,159,156,148,142,144,142,153,156,182,181,183,183,183,183,184,184,188,188,186,178,177,171,161,152,142,126,106,110,118,118,101,109,167,148,126,160,183,183,184,183,182,184,186,187,171,144,132,122,124,122,117,107,107,102,85,110,108,97,100,99,135,110,112,163,184,185,186,184,184,188,181,158,131,108,104,112,115,126,126,121,102,88,75,66,58,64,69,61,77,110,152,161,187,187,187,188,188,168,148,143,133,102,77,87,95,87,71,66,47,41,59,88,111,133,144,158,169,171,165,162,188,188,190,189,154,135,141,137,121,95,51,36,14,50,123,130,139,147,170,186,185,181,179,175,170,167,166,165,188,192,188,149,131,138,141,137,134,125,88,30,0,39,126,164,193,193,182,180,176,175,174,174,172,170,168,166,195,188,154,137,143,149,148,148,151,133,67,16,14,7,1,9,41,166,187,181,182,179,177,176,174,172,170,168,172,144,144,154,152,153,150,138,144,93,19,5,9,14,19,17,0,77,200,181,183,182,179,177,175,173,171,168,138,144,156,154,150,151,133,126,134,90,50,13,0,3,11,18,11,0,163,191,183,182,180,177,176,173,172,169,145,150,155,157,154,138,127,135,136,139,117,49,0,0,0,0,10,81,181,185,183,183,181,178,176,174,173,171,147,150,157,157,147,129,128,132,128,136,105,34,6,7,11,0,118,207,185,185,184,183,182,180,178,176,174,172,147,155,157,144,131,126,124,120,116,111,70,10,0,2,12,0,115,204,185,188,184,182,183,181,179,177,175,173,149,148,133,131,132,127,125,112,97,98,85,35,0,0,0,62,182,188,185,185,184,182,182,178,176,173,170,170,136,122,120,128,122,111,100,91,96,115,121,60,5,14,0,128,207,186,185,183,183,182,181,177,178,178,181,173,122,122,122,112,95,89,89,97,107,119,106,42,7,3,0,133,201,186,184,184,183,182,182,185,170,144,101,60,122,119,107,95,91,91,91,85,81,77,39,0,9,20,110,196,190,198,198,193,187,184,185,126,44,11,1,0,107,92,78,87,90,87,68,45,28,14,9,89,160,185,200,196,187,149,132,77,60,62,48,10,4,8,0,0,63,35,27,52,63,55,33,18,22,71,135,201,195,191,190,187,89,30,19,0,0,0,0,0,0,0,0,0,14,0,12,39,41,37,32,37,57,80,83,72,75,82,80,52,20,12,10,0,0,0,0,0,0,0,0,0,0,17,75,71,71,72,72,69,69,64,62,62,44,30,12,2,0,0,0,0,0,0,0,0,0,0,0,0,0,52,90,76,78,85,79,73,80,79,81,64,15,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,63,74,71,73,75,71,69,71,66,44,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,71,70,72,76,74,70,72,63,36,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,228,229,233,237,236,236,237,238,239,238,242,240,241,241,241,240,246,231,240,239,237,236,234,234,232,230,229,228,230,233,237,238,238,238,241,236,255,247,201,248,243,243,244,240,255,189,231,244,241,238,236,236,235,233,231,230,232,235,238,241,241,244,245,240,255,255,177,242,248,244,242,251,255,172,225,249,242,242,240,238,237,236,235,235,235,237,240,244,243,242,247,244,250,255,189,231,253,248,240,255,255,167,244,247,244,244,243,241,239,239,238,235,238,241,243,243,248,255,209,244,252,255,216,221,255,248,251,255,220,180,255,246,248,247,245,245,244,242,240,238,240,243,245,248,243,255,205,218,255,255,248,212,255,244,255,255,192,212,255,249,252,248,246,248,246,245,242,242,244,245,246,251,241,255,243,193,255,255,239,204,255,254,255,249,170,241,255,253,253,251,250,249,247,245,244,244,245,247,250,253,245,255,255,197,255,255,226,190,255,255,255,184,187,255,254,255,254,254,252,251,250,247,246,246,246,249,252,254,249,255,255,222,240,255,251,194,255,255,243,158,231,255,255,255,255,254,254,253,252,251,249,249,249,250,252,255,254,255,255,255,205,255,250,206,218,230,229,174,254,255,255,255,255,255,255,254,253,254,252,250,250,252,253,255,255,255,255,255,225,255,242,222,169,201,203,190,255,255,255,255,255,255,255,255,255,254,252,250,252,253,255,255,255,255,255,255,255,237,208,223,163,171,174,215,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,199,192,172,164,152,230,255,255,255,255,255,255,255,255,255,255,242,244,255,255,255,255,255,255,255,255,255,255,255,179,162,163,155,184,238,254,247,224,237,255,238,241,255,241,183,220,255,255,255,255,255,255,255,255,255,255,255,198,164,161,157,167,191,219,192,154,182,198,197,216,226,224,183,250,255,255,255,255,255,255,255,255,255,255,255,198,166,156,154,168,163,154,166,231,255,255,255,255,255,235,199,255,255,255,255,255,255,255,255,255,255,255,255,205,170,154,158,156,154,222,255,255,255,255,255,255,246,195,250,255,255,255,255,255,255,255,255,255,255,255,255,212,174,158,152,129,244,255,255,255,255,255,245,255,196,221,255,255,255,255,255,255,255,255,255,255,255,255,255,210,173,155,146,145,207,244,255,255,253,245,250,240,167,243,255,255,255,255,255,255,255,255,255,255,255,255,255,210,168,145,143,158,153,172,199,215,224,244,245,192,201,255,255,255,255,255,255,255,255,255,255,255,255,255,254,203,163,140,143,148,161,188,189,201,230,222,193,223,255,255,225,169,255,255,255,255,255,255,255,255,255,255,245,193,168,144,150,157,183,206,199,195,205,180,235,255,255,255,161,159,255,255,255,255,255,255,255,255,255,255,229,201,179,147,157,181,200,205,203,176,169,248,255,255,255,232,154,157,255,255,255,255,255,255,255,255,255,255,225,214,186,149,160,190,202,202,189,180,255,255,255,255,240,152,141,126,255,255,255,255,255,255,255,255,255,255,235,217,186,150,158,189,191,190,168,255,255,255,255,255,175,139,135,115,255,255,255,255,255,255,255,255,255,255,246,210,175,142,148,174,177,158,226,255,255,255,235,169,146,133,116,104,255,255,255,255,255,255,255,255,255,255,225,166,137,114,121,135,153,218,255,255,255,220,157,148,139,129,117,100,250,254,255,255,236,255,255,255,255,245,171,117,104,92,102,84,177,255,255,255,212,143,144,137,125,123,125,111
2,175,178,180,182,182,183,184,185,185,184,184,185,183,183,184,183,182,182,181,180,177,175,173,172,171,169,168,166,177,179,181,182,183,185,186,187,186,187,187,186,185,185,184,183,180,175,168,171,179,177,176,174,172,170,169,167,179,180,182,183,184,185,186,188,187,188,187,175,155,155,160,158,148,140,125,110,136,167,176,176,174,172,170,169,180,182,184,186,186,187,188,188,188,189,186,167,146,144,148,148,140,126,114,93,85,113,138,157,175,174,172,171,180,183,185,186,188,188,190,190,191,191,176,158,157,156,155,151,140,117,100,100,103,103,107,120,173,174,173,171,181,183,185,187,189,189,190,190,191,186,161,152,161,161,152,146,139,116,105,110,122,118,98,112,174,175,173,172,182,184,186,188,189,189,190,191,192,184,166,158,152,140,131,146,147,101,88,101,108,104,102,148,178,177,174,173,184,185,188,189,190,191,192,192,193,184,165,161,152,138,127,123,110,120,157,144,127,134,168,181,179,178,176,174,184,186,187,189,191,192,193,194,191,182,177,164,143,121,105,106,124,173,191,189,186,184,184,183,180,178,177,175,185,187,187,190,193,194,194,191,176,173,167,146,112,72,120,179,189,192,190,189,188,187,185,166,135,124,154,176,185,187,189,190,192,193,194,188,168,162,144,114,71,47,123,197,195,194,192,190,188,187,165,115,85,80,109,174,185,188,190,192,193,194,193,182,160,145,113,73,53,54,119,196,194,194,192,190,190,169,123,91,81,77,105,176,186,189,190,192,194,195,190,182,165,136,83,51,55,59,128,197,194,194,192,192,174,124,96,90,80,76,139,180,187,189,191,192,194,194,189,183,164,134,82,52,58,58,113,197,196,195,195,187,131,84,78,81,75,103,175,179,187,189,192,194,194,194,191,182,161,128,78,56,60,56,66,148,189,196,186,145,98,69,67,71,82,158,182,179,188,190,192,195,195,194,188,181,160,120,76,66,62,57,58,69,108,150,124,93,83,79,69,80,147,184,182,181,188,190,193,195,196,194,188,181,159,120,86,74,62,60,63,66,70,78,73,71,78,77,84,153,186,186,183,181,188,190,193,195,197,195,186,178,159,127,93,74,60,60,61,68,73,76,72,73,78,80,151,188,188,186,184,181,187,190,193,195,196,194,182,173,158,126,97,77,60,59,62,67,73,79,78,70,69,130,191,189,187,186,184,181,187,190,193,195,196,193,179,170,154,126,103,78,58,59,64,68,74,80,82,70,92,178,192,189,187,186,184,182,188,190,194,195,196,192,179,170,152,128,102,77,60,59,65,70,75,80,79,73,155,194,192,190,188,186,185,184,188,191,194,195,197,190,176,175,161,129,101,82,61,58,66,72,77,80,72,94,188,195,193,191,189,187,186,184,188,190,193,195,197,187,176,182,165,127,101,82,63,57,68,74,79,77,66,143,196,193,192,190,188,186,185,183,186,189,191,193,194,184,178,182,159,124,100,85,65,56,69,75,75,66,96,186,194,192,190,188,187,185,183,182,185,187,189,192,193,181,178,175,151,118,98,85,68,57,67,72,66,74,162,195,192,191,189,188,187,185,182,181,185,187,189,191,193,180,175,168,143,115,99,85,69,57,65,67,68,144,193,193,192,190,188,187,186,184,182,180,185,186,188,191,191,177,170,156,133,111,96,82,67,57,60,73,139,193,194,193,191,190,188,187,186,183,182,180,183,185,188,190,189,176,162,149,127,106,93,80,67,57,72,154,193,195,194,192,190,188,186,185,184,182,181,179
12,150,153,156,159,162,164,166,169,171,173,176,179,182,183,183,183,184,186,186,186,187,188,187,187,188,189,190,190,152,155,158,161,163,166,168,170,172,175,178,180,182,182,181,184,186,186,180,175,182,189,190,190,190,190,191,190,153,157,159,162,165,167,170,172,174,177,180,183,183,171,158,167,187,189,169,144,149,185,190,189,191,192,192,191,155,158,161,163,166,169,171,173,176,179,181,189,196,176,151,141,182,195,171,141,121,161,170,166,171,188,194,194,156,159,162,165,167,170,172,175,178,180,183,198,211,192,165,135,167,197,172,148,115,118,145,142,130,160,193,195,158,160,164,166,168,171,174,177,179,181,185,202,217,203,172,139,164,201,175,150,108,102,146,139,110,117,182,196,159,162,165,168,170,173,176,179,181,183,186,200,214,210,182,150,164,203,177,144,100,108,155,137,99,93,168,198,160,163,166,169,172,175,177,180,183,185,187,186,182,196,186,153,155,193,168,130,90,113,157,134,94,86,159,199,162,165,167,170,173,176,179,181,184,189,191,166,137,150,170,140,138,173,149,120,87,108,150,131,96,85,156,200,163,165,168,171,174,177,180,182,188,199,193,155,124,114,139,123,121,156,140,116,88,104,144,130,97,84,157,201,164,166,169,172,175,178,181,184,195,197,187,160,132,104,110,112,108,145,138,110,87,108,151,137,100,88,166,202,165,168,170,173,175,179,182,187,194,178,179,167,136,104,88,106,112,139,150,120,96,128,177,155,106,96,178,202,165,169,172,174,177,180,183,191,194,170,165,162,135,104,76,100,117,133,157,131,100,138,181,152,97,91,168,201,166,170,172,175,178,181,184,193,193,169,150,154,135,102,68,75,92,92,128,128,99,128,151,118,90,88,129,190,168,170,173,175,179,182,185,196,194,169,145,150,131,97,68,48,51,58,117,154,149,159,152,125,106,94,108,178,169,171,174,177,180,183,186,198,196,170,144,140,124,95,74,47,54,93,160,188,185,176,158,131,108,93,111,181,170,172,175,178,181,183,187,199,196,171,143,129,120,102,83,60,82,143,188,197,189,171,151,125,102,89,121,191,170,173,176,179,182,185,189,200,197,177,154,131,116,109,95,87,126,181,201,204,186,162,142,118,97,89,135,199,171,173,176,180,183,185,189,200,198,184,167,149,130,117,116,130,163,201,209,205,178,152,132,110,93,98,163,206,171,174,177,181,183,186,189,199,200,189,174,163,152,138,137,151,173,205,209,197,167,141,124,104,90,120,190,209,171,173,177,180,183,186,189,196,199,192,180,171,165,152,143,149,172,206,205,184,157,133,115,98,90,144,203,210,171,173,176,179,182,186,189,193,194,191,184,176,169,157,144,144,172,204,196,170,147,124,106,92,96,166,208,210,171,173,176,179,183,187,189,190,190,190,185,178,171,158,143,138,168,192,181,154,133,114,97,88,111,186,210,210,171,173,177,180,184,187,189,190,191,191,187,178,170,157,141,134,160,176,162,138,119,103,91,90,142,201,210,211,171,174,177,181,184,187,189,191,192,192,184,172,163,148,133,128,152,159,141,124,107,94,88,109,178,208,210,211,171,174,177,180,184,187,189,190,191,191,175,159,149,132,119,124,144,145,129,115,100,90,95,147,201,210,210,211,171,174,177,180,184,187,189,189,191,192,171,154,140,123,117,125,142,139,124,109,96,89,115,183,209,211,211,211,172,174,178,182,185,187,190,188,193,195,173,158,142,126,125,132,144,137,121,103,90,89,141,200,211,211,212,212
12,156,161,165,166,170,172,174,175,176,177,178,178,181,183,183,182,182,182,183,183,182,183,181,179,178,178,179,177,159,162,165,166,171,173,175,177,177,178,178,181,182,183,183,184,184,183,183,183,182,182,182,181,181,179,180,178,160,163,167,169,171,173,175,177,179,180,182,182,183,183,180,183,186,186,183,184,183,183,183,182,182,180,181,181,160,163,167,170,172,174,175,178,180,181,181,184,181,178,206,182,157,174,188,185,185,183,184,184,183,183,183,181,161,165,169,171,173,175,178,180,182,179,196,222,200,157,201,212,149,124,187,184,186,187,184,184,185,182,182,182,162,166,169,172,174,176,180,182,184,178,224,246,219,175,134,198,181,115,167,205,166,166,188,186,185,183,183,182,163,166,169,173,175,177,181,182,185,179,221,228,230,201,172,137,172,148,141,215,161,118,163,191,184,184,184,183,164,167,171,174,176,178,181,183,183,178,217,194,180,208,174,103,151,166,104,151,166,107,121,192,186,185,184,185,164,168,172,175,177,179,182,177,193,215,173,153,167,185,170,147,167,134,83,110,142,107,106,188,188,186,184,185,165,169,173,175,178,181,178,192,244,213,155,111,141,195,196,196,178,143,120,170,127,101,108,190,188,186,186,187,165,170,174,175,178,181,176,232,232,198,164,115,84,168,183,175,191,201,186,177,120,92,119,196,188,189,188,189,166,170,174,177,180,177,202,225,209,214,174,123,64,99,130,160,189,223,209,171,115,76,146,197,188,189,189,189,168,171,175,177,181,175,227,216,202,218,181,138,77,78,79,104,181,206,214,189,156,102,173,196,189,189,189,189,167,171,174,179,176,202,228,203,185,224,203,158,84,85,87,139,207,198,190,165,168,133,141,198,189,190,190,189,165,170,174,178,173,229,232,203,158,180,222,170,105,78,161,219,210,193,184,149,145,132,122,195,191,190,191,190,166,171,173,175,174,236,235,203,159,135,182,212,137,151,236,207,199,187,174,146,128,110,139,197,191,190,190,190,167,172,176,176,181,245,236,203,186,184,147,156,166,235,235,210,195,188,162,143,117,101,163,198,192,192,190,190,167,172,176,176,184,245,233,212,210,201,170,167,225,239,235,215,183,171,150,140,112,106,184,196,193,193,191,190,168,173,176,175,183,240,236,225,217,203,183,178,227,237,224,205,174,153,145,133,105,125,198,194,194,193,191,191,167,172,174,178,179,234,241,231,216,199,185,179,220,230,212,189,160,148,147,122,98,163,201,194,195,195,192,190,165,169,173,179,172,217,239,224,212,202,191,187,211,215,195,170,154,152,145,108,118,195,195,194,193,192,190,189,168,172,176,181,177,202,232,212,203,199,191,187,203,210,187,164,150,147,130,103,172,203,197,197,197,196,195,195,143,145,146,148,142,175,229,197,196,196,185,171,191,209,184,155,139,133,116,108,146,146,144,144,143,143,143,143,105,104,103,107,94,139,232,191,195,198,184,169,182,203,167,133,124,121,109,100,95,96,95,94,94,94,93,94,115,114,113,116,106,142,236,197,205,202,186,170,176,198,153,125,117,112,107,108,106,106,105,104,104,102,102,102,114,113,113,117,106,142,241,210,219,211,191,171,166,192,152,127,109,105,107,108,108,105,104,103,104,102,102,102,115,113,114,117,108,135,237,220,227,211,190,166,158,186,154,125,108,104,107,108,107,105,105,105,104,105,103,100,114,115,115,116,111,124,228,222,222,199,183,168,153,175,149,119,106,103,107,107,106,105,104,104,106,104,100,109
23,225,227,227,228,230,230,230,231,231,231,231,231,232,231,231,232,231,230,230,229,229,228,228,227,226,225,226,213,228,229,229,229,232,233,232,232,234,235,234,234,234,233,234,235,235,233,230,231,230,230,229,228,227,228,226,226,229,230,232,234,234,235,235,235,236,236,236,236,236,236,236,236,237,237,237,233,232,232,231,229,229,230,229,227,232,234,235,235,235,236,235,236,236,237,237,237,237,238,238,238,238,240,238,236,236,236,235,235,234,232,231,230,234,235,236,237,237,238,238,238,237,238,238,239,238,238,238,238,239,241,238,238,236,230,231,232,232,235,234,232,236,236,237,239,240,240,240,240,239,240,240,242,239,239,239,240,240,237,248,255,253,241,235,185,151,245,234,235,237,237,238,239,239,241,242,240,241,241,243,244,243,241,243,244,241,255,255,255,211,189,187,137,169,246,236,238,238,239,240,243,242,244,245,244,244,245,246,244,247,246,243,245,255,255,242,203,122,171,197,216,244,240,240,240,240,240,241,243,245,245,245,245,246,245,245,245,246,245,241,255,255,239,139,138,207,252,247,244,240,241,240,240,241,242,244,245,245,245,246,245,246,246,246,246,247,243,251,255,255,188,105,235,255,244,241,246,246,240,243,243,242,244,245,246,245,246,248,247,246,247,248,248,250,245,255,255,255,200,211,253,216,236,249,228,230,248,245,244,244,244,245,247,246,247,247,248,248,247,248,249,250,249,255,255,248,255,255,255,186,171,231,208,178,250,245,244,244,245,246,247,247,247,246,249,248,248,241,221,228,246,251,254,162,223,225,233,186,122,204,220,147,251,246,246,244,246,247,248,250,249,247,250,249,255,254,224,192,210,226,255,233,255,255,239,171,101,161,190,138,255,247,246,246,247,249,249,249,249,250,250,253,255,255,255,233,217,204,201,191,198,227,241,191,104,91,126,107,234,254,247,244,246,250,250,248,249,252,252,250,255,255,255,255,238,213,230,208,183,175,181,185,135,81,101,94,166,255,247,243,245,247,248,248,248,249,252,246,255,255,255,255,225,171,193,233,223,201,177,124,147,95,86,103,131,255,248,243,246,248,248,247,248,249,253,245,255,255,255,255,186,138,122,183,190,176,147,100,140,104,79,96,183,255,244,246,247,247,249,248,250,250,254,243,255,255,255,255,180,115,71,121,209,157,95,112,159,111,78,119,242,251,247,246,247,249,250,249,251,251,253,239,255,255,255,240,187,130,53,152,188,120,63,147,163,114,80,197,255,247,249,245,246,247,248,249,251,251,251,241,255,255,255,223,176,136,67,130,142,53,66,168,147,90,122,255,251,249,249,244,244,245,246,247,249,252,249,247,255,255,253,212,171,133,63,111,108,36,119,158,109,80,202,255,249,252,251,252,251,251,252,254,255,255,249,254,255,255,237,205,173,138,74,103,88,52,143,128,84,107,250,253,250,250,250,209,212,216,220,225,231,238,232,255,255,255,220,192,169,141,79,91,88,86,110,107,92,198,255,255,255,255,255,122,121,119,124,128,128,121,155,255,255,244,200,186,189,137,87,78,93,123,116,99,107,191,199,202,207,211,212,127,125,123,123,124,127,115,152,255,253,232,196,204,203,128,105,85,108,134,130,111,116,109,111,114,108,106,118,126,128,127,126,127,130,119,170,255,244,233,209,217,203,141,114,99,115,126,119,117,129,125,126,132,157,200,234,126,129,129,128,129,133,116,187,255,255,251,228,224,202,153,117,103,110,119,115,130,140,163,210,244,255,254,255
5,104,105,105,105,106,107,107,107,109,111,110,111,112,112,111,115,112,111,111,111,111,111,111,111,109,108,107,109,107,107,108,109,110,111,111,111,111,111,113,113,113,114,118,96,113,114,112,113,112,111,111,112,112,109,115,82,111,111,112,113,112,113,114,114,114,115,115,118,116,118,134,51,103,119,115,115,113,115,114,112,112,116,94,23,113,114,115,116,116,117,117,118,118,118,118,115,114,139,115,51,114,120,118,117,125,86,107,115,114,108,34,14,117,118,119,119,120,120,120,121,122,119,139,85,95,153,76,82,129,119,118,117,105,54,106,118,122,76,12,24,120,122,122,123,123,124,124,124,124,118,151,90,97,138,58,114,126,124,110,106,63,78,123,120,118,47,22,41,124,125,125,126,127,127,127,126,127,123,151,97,101,111,65,132,127,110,103,70,67,125,124,123,115,38,34,39,127,128,128,128,130,129,130,130,130,128,146,93,93,80,88,137,104,95,82,59,123,128,126,125,127,63,38,39,130,131,131,131,132,132,133,133,133,130,155,106,71,60,120,101,73,73,53,112,136,128,129,128,130,77,35,35,132,134,134,134,135,135,135,135,134,134,158,117,69,70,109,69,62,45,104,139,131,131,130,129,133,97,30,20,135,135,135,136,137,137,137,136,137,137,151,109,69,69,72,68,52,82,147,135,135,134,132,131,134,119,29,15,136,137,138,139,139,138,139,139,140,139,144,121,69,56,55,69,52,119,139,131,142,136,134,135,137,127,87,84,138,139,140,141,141,141,141,140,142,140,145,137,86,51,48,55,65,127,87,85,118,142,140,137,134,138,85,116,140,140,142,143,143,142,142,142,143,143,144,145,102,58,52,50,63,72,75,100,100,111,130,140,141,140,84,146,142,142,143,143,145,144,145,145,145,145,147,156,127,80,53,55,51,63,67,84,116,115,111,121,123,118,126,106,144,145,145,145,147,147,147,147,147,147,149,162,143,97,58,51,60,54,46,72,92,93,108,113,95,88,109,82,145,146,146,147,148,148,148,148,149,149,149,166,152,104,63,46,57,46,82,144,135,122,103,100,127,118,74,87,147,148,148,149,149,149,149,150,151,151,150,169,156,109,69,45,43,69,161,149,152,145,117,131,120,80,113,139,148,149,150,150,151,150,151,151,152,150,150,172,155,112,75,46,27,75,137,158,145,108,118,113,66,106,155,144,149,150,151,152,152,152,152,152,153,152,151,174,153,110,75,42,35,54,58,125,102,107,116,69,75,152,148,146,151,152,152,152,153,153,153,153,154,151,158,174,147,110,75,41,40,60,63,64,83,107,80,82,147,151,149,149,151,152,152,153,153,154,154,154,156,147,159,172,144,110,76,46,44,63,68,79,84,79,77,150,153,150,150,149,152,153,154,155,155,156,155,155,157,148,161,169,141,107,75,48,48,70,74,79,69,65,143,157,151,153,151,150,153,154,155,156,156,157,157,157,155,148,165,163,137,105,72,47,47,70,77,75,57,127,162,151,154,153,153,152,153,155,156,156,157,157,157,161,150,153,175,158,133,98,70,51,47,71,80,60,85,166,156,156,157,155,154,153,155,156,157,157,158,158,158,161,145,172,173,152,128,98,68,52,54,76,73,50,132,163,158,159,158,157,155,153,156,157,157,158,159,158,161,150,154,177,163,149,132,96,65,54,59,74,55,92,166,158,159,159,157,157,156,155,156,158,158,159,160,160,159,145,165,163,158,145,117,79,60,52,61,63,77,157,162,161,160,159,158,157,156,155
18,179,179,179,180,180,181,182,182,182,182,182,182,182,181,180,179,181,181,182,181,180,179,177,176,174,173,171,169,179,180,181,182,182,182,183,183,184,184,182,183,182,181,182,182,182,182,182,181,180,178,178,178,175,173,173,173,182,183,184,184,184,185,184,184,183,183,184,183,183,184,183,182,183,185,182,185,180,178,178,179,177,174,174,174,184,184,184,185,186,188,186,185,184,183,185,184,186,184,183,185,184,193,176,170,185,181,179,179,177,176,175,174,185,185,187,187,186,188,188,189,186,185,186,186,183,186,188,186,184,216,178,131,167,185,182,181,181,180,178,175,187,189,189,188,188,189,188,189,189,189,190,186,205,207,170,181,218,228,203,147,150,180,178,183,180,179,178,178,189,189,190,189,189,191,191,192,188,191,189,206,237,210,165,143,197,217,223,207,208,193,140,140,182,178,178,181,190,191,191,190,191,191,193,189,196,221,181,200,237,200,172,133,195,193,224,223,221,204,142,86,160,185,180,182,191,192,192,193,193,192,188,197,238,229,176,144,228,196,163,141,211,179,180,214,227,198,133,77,123,190,181,181,191,190,192,193,190,194,188,233,246,229,184,145,229,204,160,140,215,194,141,218,240,201,123,73,107,194,183,184,194,194,193,193,196,189,213,244,242,234,190,140,225,213,163,145,222,190,151,238,244,199,118,64,125,197,182,184,195,198,197,197,195,196,243,222,228,242,199,143,216,208,161,130,196,169,150,242,238,187,110,62,161,195,185,187,197,198,196,199,195,225,242,214,212,220,192,135,175,188,154,97,128,119,178,246,221,169,102,82,193,189,189,188,198,198,198,195,208,246,222,180,186,178,138,94,129,157,113,50,144,190,223,236,206,155,89,135,201,189,190,189,200,201,202,197,213,246,226,182,157,154,111,68,150,152,82,161,237,235,216,199,188,140,88,180,198,191,190,190,201,202,204,196,226,246,226,196,146,135,114,58,169,137,185,246,238,227,194,167,166,118,86,191,195,196,193,191,200,202,205,200,238,245,228,204,175,140,126,112,105,183,246,241,238,218,177,145,137,88,123,208,194,196,194,194,203,205,204,207,246,245,234,212,191,156,141,141,175,246,244,243,230,198,154,127,118,65,155,208,197,197,197,195,205,206,203,212,246,245,239,224,208,172,166,190,235,246,241,237,221,178,136,117,86,95,197,201,200,198,198,197,205,207,202,213,246,245,243,232,219,195,184,211,241,241,232,223,209,163,124,106,67,166,211,199,200,199,200,198,204,206,202,210,246,245,246,238,221,201,193,205,240,234,220,217,177,150,109,79,93,207,203,202,200,201,201,197,205,206,205,208,245,245,245,234,216,199,197,200,227,217,202,203,162,126,92,57,156,211,201,203,200,201,200,200,206,207,205,208,244,245,239,224,206,191,192,199,214,197,188,186,158,102,69,80,203,203,202,202,204,201,200,210,204,208,204,210,246,226,213,210,193,181,183,190,211,190,176,166,129,80,42,148,216,203,205,203,202,201,202,153,210,210,209,220,246,226,216,212,198,197,185,189,218,176,149,130,92,40,82,209,205,206,203,204,209,214,142,68,150,141,125,176,235,228,225,216,216,222,182,187,211,150,117,94,47,45,194,210,205,205,210,205,177,132,80,66,95,93,85,90,98,99,104,108,117,139,124,143,154,115,88,62,20,156,221,215,215,215,173,110,79,62,55,46,118,80,81,84,76,70,61,53,40,34,34,38,39,31,26,24,16,52,78,110,168,167,68,70,74,67,57,45
12,58,62,66,72,85,96,102,108,113,117,118,121,123,125,128,130,133,135,135,137,138,140,141,141,141,141,142,142,59,63,68,73,86,99,103,109,114,118,119,122,124,127,129,130,133,136,138,137,140,141,141,142,143,143,143,144,60,63,69,74,87,98,105,112,115,118,120,123,126,127,131,136,134,138,132,140,141,143,143,143,144,146,146,146,60,65,71,76,90,99,106,112,116,118,123,124,125,139,110,109,143,147,100,96,146,140,146,147,145,148,147,147,61,65,71,78,92,101,107,112,116,121,125,119,146,158,119,86,125,150,111,72,101,109,95,141,150,147,148,148,62,66,73,79,93,103,108,114,118,123,126,120,168,166,130,100,107,152,124,96,69,108,77,94,153,149,150,150,62,67,74,80,95,104,109,115,119,123,126,127,170,183,147,104,104,157,123,97,63,100,98,64,136,154,150,151,63,69,74,83,97,105,110,116,120,125,121,136,156,167,160,105,95,163,124,91,59,98,93,65,139,155,152,152,65,70,75,84,98,105,112,117,120,117,128,142,145,134,139,96,76,135,115,80,60,101,85,73,149,156,154,154,64,69,76,86,99,105,111,117,120,160,177,119,79,84,120,80,62,107,87,69,64,96,76,89,161,154,155,154,65,71,75,87,100,106,114,111,145,194,150,104,84,59,106,92,59,94,90,69,65,90,71,98,162,154,156,156,66,71,77,89,100,106,115,115,167,143,134,114,97,62,89,120,62,93,121,79,75,120,85,106,165,155,157,157,67,72,78,90,101,108,112,123,168,124,117,126,100,77,43,67,38,62,99,72,80,126,96,60,126,164,157,158,66,72,78,92,103,109,110,132,167,130,103,119,95,84,39,26,55,85,84,83,109,97,75,65,82,162,158,159,68,73,79,93,103,108,110,134,180,141,113,94,84,70,34,47,96,133,137,129,122,99,94,81,93,164,159,160,69,73,80,95,104,111,111,140,179,142,125,93,69,70,58,86,134,152,149,136,119,96,89,73,121,166,159,160,70,74,81,97,105,111,111,143,176,148,129,99,86,107,101,137,159,158,150,128,107,94,77,72,148,163,160,161,70,75,82,97,103,112,114,138,168,143,124,102,102,107,106,156,155,157,148,117,99,91,71,97,166,159,162,162,70,75,83,98,103,112,116,130,164,139,122,108,104,97,115,147,148,154,134,108,93,85,70,136,166,160,162,162,70,75,85,99,105,112,119,125,160,137,126,120,109,109,132,144,149,141,119,102,88,74,87,163,162,162,162,163,71,75,85,100,107,115,119,121,148,142,135,132,119,113,131,138,138,120,102,91,84,69,121,168,161,163,164,165,72,76,87,101,107,113,119,120,139,150,134,126,114,102,107,123,121,106,90,84,77,85,158,162,162,163,165,165,72,76,88,100,105,114,119,123,133,157,128,119,107,96,96,105,100,93,83,83,70,127,167,161,164,165,165,165,72,76,90,102,106,114,119,124,129,160,142,118,99,92,101,98,98,93,82,75,90,162,160,163,165,166,165,165,72,77,91,102,107,115,120,126,127,160,155,123,110,109,112,97,99,94,80,64,124,167,161,165,166,166,167,167,73,78,91,101,108,114,121,123,138,172,166,131,123,117,113,94,90,83,76,56,133,168,162,164,166,166,167,167,72,78,92,102,108,117,118,141,166,155,182,139,131,116,109,93,82,74,73,54,136,168,161,165,166,166,168,168,73,78,93,103,109,117,120,170,179,136,154,139,130,113,105,89,74,74,71,57,144,167,163,166,166,167,168,168
2,184,185,186,186,186,187,187,187,186,186,186,186,185,185,185,184,183,182,180,178,179,178,176,175,173,172,171,169,185,186,187,188,188,188,189,189,190,189,188,186,186,189,188,187,187,188,187,183,179,179,176,175,174,172,170,170,186,187,189,190,191,191,191,191,190,190,190,190,187,174,175,177,171,166,160,167,184,179,176,176,176,174,172,171,189,190,191,192,192,192,192,192,192,191,192,188,169,157,159,161,157,137,118,107,149,184,184,178,177,176,175,173,190,191,192,192,193,193,193,193,194,193,192,177,165,164,154,149,160,130,107,127,135,137,160,181,179,177,176,175,192,193,193,194,194,195,195,195,196,196,194,185,175,158,140,126,114,83,78,102,114,92,82,167,185,178,177,174,193,194,196,196,196,197,197,198,197,190,181,178,163,124,95,83,94,110,157,152,120,94,122,181,181,180,179,176,193,194,197,198,198,199,198,200,199,187,174,159,125,81,63,73,182,200,195,197,192,184,190,185,182,181,180,177,195,195,197,198,198,201,200,201,199,187,164,117,81,71,64,111,204,191,192,191,190,189,187,186,183,183,181,179,196,198,199,199,200,201,202,202,198,188,157,89,65,64,67,170,201,194,194,193,191,189,187,189,187,184,182,180,197,199,200,200,201,201,203,201,198,187,151,88,66,59,98,205,196,198,195,194,192,192,191,180,174,185,183,180,198,199,201,202,203,203,205,199,194,182,134,75,77,70,106,206,197,198,196,194,193,194,155,120,109,154,189,181,199,200,200,202,205,204,205,199,196,177,123,86,86,70,118,209,198,200,198,195,197,159,121,121,103,138,192,181,200,201,202,203,205,206,205,197,196,176,129,101,85,63,142,213,197,200,198,201,169,122,128,118,101,174,188,183,200,202,204,205,206,207,203,196,195,174,129,103,82,68,105,210,205,197,206,179,111,111,120,97,136,195,185,184,201,204,205,205,206,208,204,196,191,167,134,106,79,78,75,113,176,212,183,129,104,104,102,94,188,190,187,186,202,204,205,206,206,208,203,196,191,167,132,99,79,78,84,82,96,145,112,106,118,100,81,159,197,189,189,186,202,204,206,207,207,208,200,195,202,168,128,105,80,79,84,91,97,91,92,105,102,92,167,201,191,192,190,187,202,205,206,207,208,210,195,202,201,161,125,104,82,79,86,89,97,103,93,99,91,174,204,193,193,193,190,187,203,204,206,208,210,209,194,206,192,152,121,106,83,79,88,91,97,102,94,74,161,208,194,194,194,193,190,187,204,205,206,208,212,207,196,204,184,146,123,109,83,79,91,96,98,99,81,138,207,197,196,195,194,193,191,189,205,206,208,209,211,204,196,199,171,144,127,106,83,80,95,97,101,81,103,211,200,199,198,197,195,193,192,191,206,207,209,211,212,203,193,186,162,139,121,102,81,81,95,93,91,70,177,209,200,201,200,198,195,194,192,191,206,207,209,209,211,202,190,179,160,135,119,100,80,81,93,92,66,146,215,203,202,202,200,198,197,195,192,191,206,207,209,210,210,201,182,172,151,128,113,96,82,83,82,66,135,216,205,205,204,203,200,198,198,196,192,192,206,208,208,210,208,200,178,170,148,126,107,93,80,69,79,156,216,207,207,205,204,203,201,199,196,195,194,192,206,208,209,208,207,196,176,164,149,125,102,85,64,116,205,219,209,209,207,206,204,202,202,200,197,196,194,192,206,207,210,208,199,175,163,161,145,116,90,73,81,206,218,209,210,208,208,207,205,204,203,200,197,197,194,191
6,149,151,155,156,159,163,165,166,170,172,173,175,176,176,177,180,180,180,179,178,179,180,181,183,183,182,182,181,151,153,154,156,158,163,166,168,171,172,173,174,176,175,178,181,180,180,181,181,180,181,182,181,182,183,182,181,152,153,155,157,161,164,166,167,170,170,173,174,178,178,178,179,179,178,180,181,179,181,180,180,182,183,183,182,152,153,156,159,163,165,166,170,172,172,175,176,179,181,181,180,182,183,183,182,181,180,183,181,182,187,184,181,154,156,159,162,165,166,168,172,173,174,177,179,179,178,174,163,145,150,163,155,153,149,128,163,172,165,184,183,156,157,160,165,166,168,171,172,174,174,177,180,180,178,174,154,121,126,144,146,137,131,115,128,153,118,183,184,156,157,158,164,167,169,172,172,173,176,185,191,186,181,162,135,119,104,101,106,99,100,99,96,99,138,191,185,157,160,162,164,167,170,174,178,179,185,181,170,157,136,110,87,85,99,104,111,129,139,147,156,169,190,186,187,159,162,164,167,167,173,185,171,158,153,152,145,143,134,120,96,110,150,169,195,195,198,198,195,192,190,189,188,162,164,165,169,166,200,197,151,127,128,134,141,150,152,148,141,131,123,104,179,195,191,192,191,192,192,191,190,162,164,166,170,168,217,183,146,145,136,130,122,123,128,128,122,113,111,73,159,203,192,195,194,194,194,193,193,163,164,169,172,171,216,175,165,178,151,133,134,131,139,143,134,113,101,87,179,201,196,196,196,196,196,196,195,165,164,169,171,178,216,198,211,192,151,126,127,128,132,134,130,125,119,98,140,210,197,198,197,199,198,197,196,165,165,171,170,187,217,213,209,189,170,158,134,111,96,108,114,108,102,93,70,160,207,198,199,199,199,199,198,166,167,173,169,197,217,210,203,203,200,180,146,124,119,131,127,106,92,91,54,99,213,199,201,200,201,201,200,167,169,174,169,207,221,214,212,213,196,179,158,135,124,131,124,114,102,107,66,131,212,199,201,200,203,203,201,167,170,172,172,213,219,213,214,211,196,181,151,135,132,128,126,119,112,95,119,202,203,202,201,201,204,204,202,168,170,172,176,219,214,213,211,209,191,161,146,137,134,119,113,117,113,89,180,210,201,203,202,202,204,204,202,170,172,173,181,224,213,211,209,201,162,151,152,139,115,102,57,87,98,104,203,203,203,205,206,206,206,205,203,170,173,171,188,217,208,208,205,185,148,142,150,135,92,54,37,67,82,158,211,201,204,205,207,206,206,205,202,172,174,169,196,211,203,205,193,163,137,149,145,117,97,58,67,112,158,207,206,207,207,207,207,206,206,206,204,172,175,172,203,207,196,197,180,155,139,157,142,114,93,66,96,212,211,205,206,207,207,208,207,207,207,208,206,173,177,173,205,201,199,189,170,151,157,165,135,113,92,66,129,220,203,208,208,209,209,209,208,207,208,208,206,173,176,170,198,201,188,171,166,148,163,156,125,105,87,77,184,214,209,209,210,210,210,208,209,210,210,208,206,173,177,171,190,191,182,169,152,148,164,141,117,101,75,135,216,206,211,210,211,211,210,211,210,210,208,207,207,174,177,166,198,198,179,170,144,153,156,132,115,86,107,210,211,210,212,212,211,212,211,211,210,210,209,209,208,174,170,168,203,191,175,163,146,153,144,120,105,77,171,220,211,214,214,214,212,211,213,213,210,210,210,210,209,177,167,173,194,181,158,148,149,143,132,109,94,82,192,214,213,214,214,215,214,213,215,213,213,210,210,210,210
1,148,152,155,157,160,162,164,165,166,167,167,168,169,168,169,169,169,169,169,168,169,169,169,169,168,167,166,165,151,155,158,160,163,165,166,167,168,169,170,171,170,171,171,172,172,172,172,171,172,172,172,173,172,170,169,168,154,158,161,163,166,168,170,171,171,172,173,173,174,174,174,175,175,176,176,175,175,176,176,176,175,173,172,172,157,160,164,166,170,171,173,174,174,176,176,176,177,178,160,166,178,178,178,177,178,178,178,178,177,177,175,174,160,163,167,170,173,175,176,177,178,178,178,180,174,181,155,127,182,181,179,179,180,180,181,180,178,178,178,176,162,166,170,174,175,178,179,179,179,180,181,190,171,152,157,104,150,163,182,182,183,183,183,182,181,180,179,179,165,170,173,176,178,180,181,182,182,183,183,195,170,146,165,100,142,113,183,185,186,186,186,186,184,184,183,181,169,173,175,179,181,183,184,186,185,186,183,197,177,141,181,120,143,111,169,187,188,188,188,188,187,186,185,184,173,175,177,181,183,185,187,187,188,189,172,160,189,131,184,133,143,132,146,190,190,190,189,189,189,188,187,185,174,178,181,184,186,186,188,190,190,196,170,133,192,128,176,149,153,168,130,191,193,193,193,192,191,190,189,187,176,179,181,185,187,188,190,192,192,200,173,135,191,135,179,162,139,182,131,179,195,195,195,194,194,192,191,190,177,181,183,186,189,190,192,193,194,206,174,143,206,151,168,170,126,188,150,155,198,197,196,196,195,194,193,193,179,183,185,187,190,192,194,196,195,205,171,135,202,140,136,167,118,194,166,135,200,199,198,198,197,197,195,194,180,184,187,189,192,193,195,197,197,208,178,126,181,139,138,162,135,178,156,124,195,201,200,200,199,198,197,196,181,184,188,190,193,195,197,198,199,210,172,123,158,186,161,165,180,165,133,117,177,202,201,201,201,200,199,198,181,185,189,192,194,197,199,199,199,207,182,169,141,171,173,200,187,154,134,122,136,204,203,203,203,202,201,201,182,186,191,193,196,197,199,199,203,206,182,171,139,156,198,204,185,192,157,119,106,201,204,204,205,203,202,202,183,187,191,194,197,199,199,200,205,211,172,154,157,179,175,160,155,216,203,160,104,184,205,206,207,206,205,204,183,187,191,194,197,200,199,201,207,222,176,147,139,137,132,136,177,205,203,167,130,160,208,207,207,206,206,205,184,186,190,193,195,198,199,200,205,229,193,144,153,152,178,205,215,201,185,150,114,144,208,208,207,206,206,207,184,187,190,194,196,198,200,201,204,227,214,153,171,159,200,224,222,203,175,142,97,143,209,208,207,206,206,207,185,187,191,194,196,199,200,201,203,227,227,169,184,165,198,230,229,204,165,130,92,152,210,208,208,208,206,206,185,188,191,193,196,199,201,202,203,219,227,190,196,177,184,231,228,194,156,120,91,177,210,210,209,208,207,206,185,188,192,194,196,199,201,202,203,209,225,210,200,187,167,226,220,185,148,111,91,195,211,212,210,208,209,208,168,173,177,183,186,191,193,194,197,197,221,223,202,180,156,210,207,174,137,106,102,207,212,213,211,210,209,208,101,102,104,109,113,114,117,120,123,125,202,214,191,173,153,181,190,160,124,105,110,172,178,182,195,213,210,207,99,99,99,100,101,102,102,103,103,100,181,202,185,169,149,163,179,154,117,101,100,104,126,172,199,198,206,205,99,102,109,107,106,104,102,103,103,102,177,200,187,165,153,161,177,147,105,97,119,172,211,212,194,174,172,199
8,124,130,137,140,143,145,150,155,157,158,158,159,161,162,162,162,163,163,164,164,164,163,163,162,161,161,159,160,127,133,141,145,145,161,154,152,160,161,162,163,164,164,165,165,165,165,165,165,166,165,164,162,162,161,160,160,131,138,146,150,150,184,147,126,168,166,168,168,169,169,169,169,169,169,169,168,167,168,166,166,165,164,161,160,134,141,149,154,155,199,143,110,174,173,174,174,175,175,174,174,174,175,174,173,172,172,170,170,169,167,165,163,138,146,153,158,160,213,143,109,180,179,180,181,181,180,180,181,181,179,178,179,177,176,175,175,174,171,169,166,142,149,157,162,166,211,139,113,185,184,185,186,188,187,188,178,176,192,184,155,178,182,181,180,178,175,174,173,147,155,161,166,170,216,151,114,188,189,190,191,163,177,217,167,119,174,204,136,133,187,186,186,184,180,179,177,151,158,164,170,176,220,159,122,185,193,208,227,167,155,209,182,137,151,182,155,115,168,194,191,189,186,184,182,155,163,170,175,180,221,184,152,177,200,230,237,223,198,172,171,183,204,151,104,110,139,200,195,193,191,189,187,158,166,174,180,182,217,192,179,192,216,216,217,229,181,173,180,189,188,156,105,76,115,203,198,196,196,194,191,161,169,178,183,185,214,203,191,211,217,194,163,226,189,168,173,158,151,170,126,71,129,207,201,200,198,197,196,164,172,180,186,188,214,220,186,204,208,200,158,181,202,134,110,105,159,184,142,90,166,209,205,203,201,200,199,168,176,183,188,191,218,229,158,186,186,166,161,159,198,136,77,71,201,202,161,105,154,215,208,207,204,202,202,172,180,186,191,194,218,232,168,137,176,144,143,152,184,166,111,87,185,224,180,120,102,208,213,211,207,206,204,173,182,188,193,197,217,237,194,127,141,158,139,168,189,176,124,190,217,219,186,129,85,178,220,214,211,209,208,176,184,190,195,199,215,246,209,148,121,164,142,200,216,189,180,234,223,189,158,124,92,178,224,217,215,213,211,179,186,192,199,203,217,248,219,173,128,140,153,196,227,227,239,229,202,176,135,111,101,209,224,221,219,220,217,181,189,195,201,205,219,248,231,191,149,135,156,188,233,236,241,222,187,154,124,91,139,232,229,226,209,165,115,182,190,197,203,207,220,248,237,203,170,149,160,178,232,240,231,207,173,142,110,86,192,204,160,121,79,54,50,183,191,199,204,208,218,243,237,213,183,171,158,174,216,239,223,190,156,130,102,83,105,68,52,53,58,56,52,185,194,200,205,209,215,234,237,223,193,191,163,162,196,229,215,180,144,121,93,65,45,44,47,44,58,61,49,185,194,200,207,212,214,224,236,227,202,195,172,152,190,208,205,170,135,113,86,53,41,39,55,40,45,59,59,186,194,201,207,212,216,216,231,224,208,192,169,135,181,185,190,154,122,102,65,51,42,29,47,51,38,46,55,185,194,200,205,211,217,210,226,227,209,188,161,134,151,178,165,140,114,92,35,35,54,32,34,53,45,35,44,187,194,201,206,210,217,212,225,237,217,189,162,136,133,165,153,129,106,76,24,18,45,49,29,40,49,40,38,188,195,201,206,211,216,214,224,230,208,179,161,136,130,144,143,120,90,60,41,9,29,52,41,28,46,47,37,189,195,202,207,211,218,205,225,224,182,180,167,142,128,131,137,115,67,43,53,15,15,42,50,33,34,45,41,182,190,197,204,210,219,157,225,226,190,197,177,148,124,126,132,107,43,27,54,27,7,30,49,42,33,36,44
0,156,158,159,161,162,163,166,166,167,168,168,168,168,170,172,170,172,172,172,172,173,172,172,173,173,172,173,173,157,159,161,163,164,165,167,168,168,169,170,170,170,172,174,173,173,173,173,174,174,174,174,174,174,173,174,173,157,159,162,165,166,166,168,169,170,172,172,172,173,174,173,173,175,175,174,173,174,175,175,176,175,174,174,175,158,160,163,165,166,167,169,170,171,174,173,174,174,173,173,176,176,174,174,175,177,177,174,177,177,177,176,178,160,162,164,166,166,168,169,171,173,172,175,177,175,181,185,172,172,182,192,171,174,196,157,173,180,179,179,178,162,164,166,167,168,171,171,172,171,183,202,171,154,201,193,158,139,192,197,165,147,196,156,151,184,177,178,179,162,164,167,168,170,171,173,176,173,207,202,179,131,169,191,171,129,149,195,172,130,170,177,135,175,180,179,181,164,166,167,169,172,171,197,190,160,204,197,189,144,158,191,179,137,149,198,175,121,134,185,149,137,168,184,180,165,167,168,171,166,187,211,192,157,184,204,187,157,157,192,182,136,158,197,164,125,93,171,169,151,127,166,185,164,167,170,171,167,203,211,199,171,168,205,185,158,150,200,186,125,159,192,145,113,61,142,183,167,121,147,192,166,168,171,170,177,207,208,208,181,155,201,186,153,148,203,181,118,127,161,134,90,74,174,190,173,125,162,190,167,169,171,167,189,199,191,208,183,145,188,184,146,138,189,167,119,97,137,127,67,117,197,188,166,125,182,188,168,171,172,168,203,203,187,188,153,115,160,166,139,115,147,143,113,89,141,122,98,179,194,180,137,134,191,186,169,172,172,182,211,196,163,171,131,98,140,149,133,94,118,132,87,114,174,176,181,181,177,159,123,153,193,187,170,173,167,193,211,198,169,156,144,110,127,156,140,81,100,131,147,196,201,193,180,160,149,138,118,163,192,188,173,175,170,187,211,205,188,160,145,123,129,172,137,78,119,192,211,203,197,187,170,149,132,127,110,179,191,190,174,175,173,188,211,209,196,181,161,147,152,163,150,166,209,211,207,197,189,176,156,136,128,112,144,195,189,191,174,177,174,192,211,210,202,191,182,160,165,179,199,211,211,207,202,190,174,160,141,130,116,132,193,191,191,191,173,177,173,191,211,210,208,200,192,179,175,190,202,210,210,205,196,183,164,142,128,119,114,183,194,192,193,192,174,177,174,190,211,210,211,205,196,187,181,187,200,209,204,197,190,171,148,129,121,106,162,198,191,193,193,193,173,177,179,187,211,210,210,204,191,180,179,181,192,200,193,181,173,158,133,125,102,144,200,193,194,195,194,194,175,178,180,180,208,211,207,197,185,173,175,178,185,187,175,163,149,137,123,101,131,200,194,195,195,195,194,194,177,182,184,179,202,211,203,194,183,172,180,185,188,182,166,151,131,115,91,110,194,198,195,196,196,196,194,195,163,155,155,143,146,150,139,130,126,122,132,134,131,126,116,112,106,92,100,196,199,193,197,196,197,197,196,196,127,118,119,114,103,101,99,89,84,72,68,61,56,58,54,54,58,61,85,148,195,197,196,197,198,197,197,196,119,122,119,115,110,107,101,91,84,76,72,62,58,57,54,51,50,53,53,39,139,209,195,197,197,197,196,197,127,120,121,118,112,102,98,91,80,76,69,61,56,55,52,49,50,50,55,40,160,206,195,197,198,198,199,199,139,122,123,117,112,103,98,89,78,75,68,61,57,54,52,49,48,51,43,83,207,196,197,198,198,198,200,200
10,146,147,147,147,148,149,149,150,149,148,148,149,148,147,146,145,143,143,141,140,140,138,137,136,135,133,132,132,151,151,152,152,152,152,152,153,152,152,151,151,151,150,148,147,146,145,147,138,135,140,138,137,135,135,134,132,156,156,156,158,158,158,158,158,157,157,156,155,155,154,152,150,149,147,163,137,108,141,140,138,137,137,136,135,160,161,160,162,162,162,162,161,161,161,160,160,159,157,155,154,153,151,170,141,96,139,142,141,140,138,137,136,165,165,166,166,166,167,166,165,165,166,165,164,163,162,159,158,157,156,173,140,93,139,147,144,143,141,139,138,170,170,170,170,171,171,169,170,170,171,170,169,167,166,164,162,161,161,174,133,90,140,152,148,146,144,143,141,174,175,174,174,175,175,174,174,175,175,174,172,171,170,168,167,166,165,180,144,96,143,156,152,150,148,146,143,178,179,179,179,179,180,179,179,179,180,179,177,175,174,172,171,169,171,185,145,122,146,159,156,153,151,148,146,181,181,182,183,183,183,183,182,183,184,182,181,180,178,176,175,173,179,183,163,141,118,162,159,156,154,152,150,184,184,185,186,186,186,186,185,186,186,186,184,184,182,180,179,173,163,166,173,135,92,160,163,160,157,155,153,187,187,188,189,188,188,188,188,189,189,188,187,186,186,184,183,181,162,142,147,138,83,124,169,164,161,158,156,190,190,190,191,191,191,191,191,192,192,191,190,189,188,182,178,188,185,157,125,110,96,79,149,169,165,161,161,193,192,193,194,195,195,194,194,195,195,195,193,192,189,166,137,131,158,170,162,121,88,75,112,172,167,165,165,195,195,196,197,197,197,197,197,197,197,196,179,159,176,180,149,98,69,147,164,110,71,66,109,175,171,168,167,198,198,199,199,200,199,199,199,199,198,195,178,146,134,187,173,124,52,59,93,103,80,64,119,179,174,171,169,200,200,200,201,202,201,201,201,201,199,192,190,175,139,157,188,143,82,45,59,142,116,71,126,181,177,174,171,201,202,202,202,202,202,202,203,202,198,173,163,179,151,117,169,150,99,55,79,149,142,81,126,184,179,176,173,203,204,204,204,204,204,205,205,203,199,177,132,142,138,80,122,154,100,64,91,141,141,79,120,184,180,178,175,205,205,206,206,207,207,207,207,205,194,170,131,110,123,84,91,157,135,86,99,136,112,70,132,186,181,179,177,207,207,207,208,208,208,208,208,205,197,191,164,116,117,110,91,149,163,109,92,120,87,71,160,187,183,181,178,208,208,208,208,209,209,209,209,207,200,203,178,138,118,113,107,156,156,102,83,105,78,87,183,187,184,183,181,209,209,209,209,210,210,210,210,210,199,205,191,158,130,125,144,193,180,130,104,99,73,117,193,189,186,184,182,211,211,211,211,212,212,213,213,213,200,195,192,170,144,137,155,196,193,162,125,97,69,147,195,190,188,185,183,211,211,212,212,212,214,215,215,215,203,187,189,178,164,150,156,190,184,150,113,88,76,175,195,192,189,187,184,210,210,211,211,212,213,214,214,215,210,186,183,184,178,155,146,177,165,134,101,72,102,194,195,193,190,188,186,210,211,211,212,212,214,215,215,215,215,194,174,179,172,153,134,153,145,117,87,62,146,197,193,192,189,187,185,211,212,213,214,214,215,216,216,216,216,209,181,175,165,149,131,136,142,113,77,88,186,196,193,191,189,187,185,212,213,214,215,215,215,216,216,217,216,211,193,176,159,149,139,131,138,107,69,137,201,197,194,192,189,187,156
4,141,143,145,148,150,153,157,159,160,161,165,165,166,169,171,171,170,171,172,173,174,174,174,173,174,174,173,173,142,145,147,149,152,155,159,161,162,163,165,167,169,169,171,173,175,172,174,175,174,176,175,175,176,176,174,174,143,147,147,150,153,156,159,160,164,165,167,172,168,176,166,139,159,180,172,174,179,176,177,177,177,177,176,176,144,147,148,151,154,157,160,162,163,168,161,156,172,197,177,140,121,165,158,129,163,182,177,178,179,177,177,177,146,148,150,153,156,159,162,161,173,194,167,150,151,195,181,163,136,124,160,123,112,176,181,180,181,180,179,180,147,149,149,152,156,160,165,158,189,217,190,176,136,167,193,164,148,107,150,141,109,146,188,179,181,181,180,180,147,149,150,153,158,161,162,161,182,202,212,191,155,136,198,172,147,102,146,146,112,139,190,181,182,182,182,181,148,150,152,155,159,159,172,179,169,167,180,198,157,112,162,178,134,99,139,145,106,137,190,181,182,182,182,182,149,150,153,156,161,156,194,209,194,183,153,138,135,101,118,146,114,99,125,130,100,146,190,181,184,183,182,182,149,150,153,157,161,157,199,196,193,188,151,103,105,102,93,122,100,79,101,99,93,163,188,183,186,184,184,184,149,150,153,157,161,161,192,148,144,158,127,99,92,113,81,110,115,128,150,107,86,177,187,183,185,185,185,185,151,152,153,158,162,163,187,134,95,128,133,103,91,107,108,125,163,189,174,128,98,150,192,187,184,187,186,185,152,153,154,158,163,163,186,150,127,114,140,114,113,146,153,162,180,187,154,124,117,106,137,182,190,186,187,187,152,153,155,159,164,162,186,164,144,117,111,99,115,167,146,157,165,154,130,120,123,120,109,114,163,192,187,188,152,155,157,160,164,163,183,175,137,110,100,91,86,125,125,128,125,120,111,117,121,122,122,111,105,181,190,187,153,155,157,161,166,163,182,183,146,128,115,104,90,83,101,115,120,112,101,107,120,128,121,118,108,167,193,187,154,155,157,161,165,164,179,193,167,134,119,108,99,94,112,147,151,148,142,126,123,138,123,115,119,180,192,188,153,156,158,162,166,166,177,192,167,142,137,119,108,101,130,172,183,184,177,158,140,134,123,114,144,193,189,190,153,156,158,163,166,167,176,194,169,161,150,124,113,107,136,187,191,187,174,153,137,122,117,119,176,194,190,191,155,155,159,163,166,167,174,190,172,169,150,120,115,114,136,188,183,175,166,149,130,120,114,135,194,191,192,191,156,156,159,163,165,170,172,186,173,163,143,117,119,119,138,178,169,164,159,143,124,121,117,161,198,192,192,192,156,155,159,163,167,171,171,185,175,160,139,119,127,125,149,170,162,160,150,132,120,121,126,184,194,192,193,194,155,156,160,164,167,170,173,180,180,159,135,131,143,132,150,162,157,152,133,122,120,119,153,196,192,193,195,193,156,156,159,164,168,170,174,177,177,158,143,147,147,135,133,145,141,134,121,117,118,129,184,195,194,194,194,193,156,157,160,165,168,171,175,176,180,165,150,147,139,128,118,123,122,118,117,123,118,155,199,195,196,195,195,194,155,156,161,164,168,171,175,176,180,178,149,134,127,119,117,118,118,118,119,124,110,162,201,194,196,195,194,195,156,157,162,165,169,172,175,177,178,181,151,123,114,113,115,121,120,119,120,120,102,147,203,194,195,196,196,196,157,158,162,165,168,172,175,179,178,177,162,130,122,124,125,126,123,118,118,117,105,133,200,194,195,196,197,197
17,149,152,153,155,157,158,159,160,162,163,163,165,166,167,167,170,169,168,171,170,170,172,171,171,172,171,172,171,149,152,154,156,158,159,160,162,163,164,164,166,167,168,170,170,170,174,174,175,172,172,171,172,173,172,172,171,149,151,155,158,158,160,161,162,162,165,165,166,167,169,170,172,160,144,154,137,173,174,174,173,174,174,173,172,150,152,154,158,160,161,162,163,164,166,165,166,168,171,170,175,176,121,100,97,165,177,174,175,174,175,174,173,151,154,157,158,160,162,163,166,168,168,167,169,170,172,171,174,190,142,88,90,173,176,176,176,174,175,175,173,151,154,158,159,160,162,165,166,166,169,169,171,175,172,174,173,191,159,99,99,184,175,176,176,175,176,176,174,152,156,158,159,162,164,165,166,166,168,172,164,156,181,175,172,194,167,109,127,186,176,178,177,176,177,177,176,155,157,158,160,163,164,165,168,170,169,173,169,125,141,181,180,193,161,113,146,185,178,179,179,178,178,177,177,155,157,159,161,163,164,167,166,167,163,177,176,150,127,147,175,191,159,111,144,186,178,179,179,179,178,177,176,156,158,159,161,164,165,164,180,171,124,140,183,184,179,135,100,156,157,115,144,188,179,181,179,178,179,179,178,157,159,160,163,166,166,169,182,175,130,146,159,177,189,167,104,106,136,108,141,188,180,180,179,180,181,180,179,158,160,161,164,167,165,178,171,155,155,122,111,104,198,188,134,89,111,97,138,190,181,181,180,181,180,180,180,157,159,162,163,167,165,181,169,116,121,111,84,77,184,203,155,95,94,86,135,191,181,183,182,181,181,181,180,157,160,163,164,168,167,185,167,139,138,121,114,114,166,213,166,111,89,89,127,190,181,183,183,182,181,182,182,158,162,164,165,167,170,192,168,148,140,123,138,144,172,204,169,127,89,85,125,191,181,184,184,183,183,182,182,159,161,164,168,165,178,185,147,136,133,136,144,182,209,176,164,132,88,77,124,192,182,184,184,184,184,182,179,159,161,165,169,164,186,186,152,139,133,141,160,213,204,170,149,124,86,70,126,192,183,185,184,184,184,183,181,159,162,164,167,165,193,188,160,143,133,143,191,209,191,167,143,116,87,71,146,193,183,185,184,184,184,184,183,159,163,165,167,165,198,187,166,154,134,161,209,201,188,159,131,112,83,83,175,188,184,185,186,184,183,184,183,159,162,167,169,167,205,188,172,168,144,170,207,190,184,162,123,106,75,115,194,182,186,186,187,185,184,183,183,160,164,167,170,167,207,193,178,177,157,168,201,184,176,157,120,97,77,161,192,184,185,186,187,185,184,185,185,161,165,167,169,165,201,202,182,174,166,163,189,180,177,151,115,87,95,188,185,184,185,186,186,185,185,185,185,161,165,168,171,167,192,204,180,168,164,167,177,170,182,159,112,83,111,194,185,187,187,187,187,186,187,186,184,163,165,167,170,168,190,197,178,168,158,166,175,167,182,152,113,83,140,196,185,188,188,188,188,187,186,186,185,161,164,167,171,168,194,200,185,170,166,169,176,165,176,138,106,91,176,190,187,187,187,187,188,187,187,186,185,159,163,168,171,170,201,208,184,168,174,177,169,154,164,125,88,124,195,185,188,187,188,188,188,187,188,187,186,162,164,168,170,170,208,201,170,169,177,179,157,142,149,110,86,171,191,187,188,188,188,188,187,189,188,187,186,162,165,168,169,173,210,195,165,170,177,174,150,140,134,96,107,192,186,188,189,189,189,189,188,189,188,186,187
6,187,189,192,193,194,196,197,197,197,196,196,196,195,194,193,193,192,191,190,188,187,186,185,183,184,183,181,180,189,192,194,194,195,197,197,198,198,197,197,198,197,196,195,193,193,192,192,190,188,187,187,186,187,185,182,181,191,193,195,196,198,199,199,199,199,198,198,199,199,197,196,195,196,194,193,192,192,190,188,188,187,186,184,182,193,195,196,197,199,199,200,200,200,201,200,199,199,198,199,197,197,196,195,194,194,192,189,189,187,186,185,183,193,196,199,198,200,201,202,201,201,202,202,201,201,199,197,198,197,195,195,195,194,193,191,190,188,188,186,185,195,197,200,200,201,202,202,203,202,202,202,201,201,200,199,200,200,198,199,199,198,198,196,193,190,189,187,185,197,198,201,201,203,205,204,204,203,203,204,205,205,203,201,200,196,192,184,179,180,172,165,162,160,141,166,182,199,200,202,202,203,206,205,205,205,205,202,190,183,185,183,170,155,142,124,139,153,160,145,144,143,120,169,183,200,202,204,205,205,206,206,208,208,194,181,151,144,146,151,160,149,136,128,131,144,154,137,132,124,107,123,139,200,202,205,207,207,207,209,206,202,192,179,162,147,134,101,122,129,125,105,90,97,90,90,92,101,108,127,158,201,203,206,207,208,210,205,202,192,177,173,161,158,157,99,64,64,60,65,101,130,152,165,180,193,194,197,196,203,205,207,210,209,204,193,196,175,161,167,167,172,136,85,68,51,121,173,200,209,209,206,204,201,198,196,193,203,206,210,207,200,191,188,178,168,165,161,169,170,121,71,68,63,112,217,205,202,200,200,200,200,199,197,195,204,207,205,200,192,190,183,175,173,163,159,168,160,147,111,70,68,49,131,218,203,203,202,202,201,199,197,196,208,201,197,197,192,186,176,171,168,161,158,159,160,162,131,83,63,69,61,186,211,203,203,202,201,201,198,197,179,206,199,192,184,181,171,165,160,155,155,156,162,160,120,81,67,70,48,150,220,203,204,203,202,201,201,200,74,139,207,200,182,172,164,157,154,153,151,153,160,160,134,90,62,65,67,195,212,206,205,206,205,202,201,200,72,58,102,179,182,166,165,161,157,156,157,155,162,160,151,108,65,60,67,200,212,208,207,207,205,204,202,201,67,70,43,59,144,179,162,156,155,154,159,160,159,160,145,101,69,71,52,178,219,208,208,207,206,206,204,202,65,49,45,35,48,127,155,155,158,157,151,142,139,135,112,92,76,74,66,199,218,210,209,208,206,206,204,202,48,42,39,44,39,37,101,150,154,149,140,127,119,108,94,86,84,83,53,141,227,210,211,208,207,206,205,202,40,46,44,41,37,36,32,86,148,150,135,121,110,121,112,82,84,83,47,141,226,210,212,210,208,208,205,203,41,47,48,40,32,39,35,23,81,131,117,103,84,102,80,65,79,81,131,214,215,213,213,211,209,209,207,206,44,47,42,36,31,33,27,29,24,76,80,77,126,196,176,154,177,198,221,217,216,215,214,212,211,209,208,206,43,42,32,30,29,27,25,23,25,6,85,200,225,229,230,230,226,223,216,217,216,215,214,213,212,210,207,206,43,31,27,25,28,24,21,21,15,52,216,229,219,220,220,218,217,217,217,216,215,215,213,212,211,208,207,206,37,23,25,25,22,18,19,21,4,108,242,216,222,221,221,219,219,217,215,215,215,214,213,212,210,208,207,204,31,27,26,17,23,24,12,22,7,144,238,221,223,221,221,220,220,219,218,216,215,214,213,213,212,210,206,202
8,117,124,127,132,137,141,143,146,149,152,154,156,157,157,159,160,160,160,160,160,161,161,160,160,160,160,160,159,120,126,130,135,140,144,147,148,154,156,157,159,160,161,161,161,162,162,162,163,163,162,161,162,161,160,160,159,124,130,133,139,145,149,151,168,146,159,163,164,165,165,166,165,165,166,167,166,166,165,165,164,163,163,162,161,127,134,136,142,149,152,157,187,123,147,172,168,169,170,170,171,170,170,171,170,170,168,168,168,167,166,165,164,129,136,139,145,151,155,164,198,120,136,178,172,175,175,175,175,176,175,174,174,176,174,171,172,171,171,170,168,133,139,142,148,156,158,168,205,119,134,183,176,179,180,181,179,178,180,182,182,169,173,179,176,175,175,175,172,136,141,145,152,159,161,169,202,125,134,187,180,182,180,179,186,196,149,148,204,167,127,174,183,180,180,179,176,139,143,149,155,161,166,173,208,137,127,190,183,192,197,147,172,206,156,118,173,178,133,133,189,184,184,183,181,142,146,153,159,166,169,177,210,155,132,184,186,214,223,199,188,169,163,173,192,146,110,111,175,191,187,186,185,143,148,155,163,169,172,177,211,178,158,176,204,213,214,217,179,166,170,177,178,151,111,79,154,198,188,189,188,146,151,158,166,172,177,178,206,184,176,196,208,186,166,223,183,161,172,154,142,163,131,81,163,200,191,191,190,149,153,161,168,174,180,180,203,201,182,199,204,190,140,174,201,134,113,107,151,178,144,102,182,201,196,194,192,152,156,164,172,177,183,183,203,218,164,189,183,174,159,147,194,141,85,74,186,196,162,110,150,208,197,197,195,154,158,165,174,179,185,185,202,225,161,147,178,144,146,143,175,163,125,78,164,216,180,127,104,199,202,199,198,155,160,169,176,181,187,189,200,223,189,127,147,148,134,151,171,176,127,163,212,202,181,136,90,171,211,201,201,156,161,171,178,184,189,192,200,229,208,153,122,163,139,172,206,178,161,212,216,184,151,131,97,172,214,204,203,157,164,173,179,185,190,195,199,229,215,175,131,137,148,178,216,205,222,221,195,173,139,114,105,199,210,206,208,161,165,175,182,186,191,196,200,229,224,195,156,130,149,170,218,218,226,217,189,157,131,96,135,226,218,216,199,160,166,176,183,188,193,197,201,226,229,205,172,147,152,163,209,224,221,203,176,146,122,90,183,199,156,123,87,161,166,176,184,190,194,199,200,222,228,213,182,168,158,159,192,221,217,193,162,136,114,93,109,79,63,66,71,162,168,177,186,191,196,201,202,216,223,218,192,181,174,149,178,204,211,186,151,130,107,79,57,63,65,62,73,162,169,179,186,192,197,201,204,208,220,220,202,186,183,146,172,186,202,175,143,121,102,70,57,58,71,56,61,163,169,180,187,192,197,202,206,203,213,217,205,191,179,146,149,180,179,164,131,113,87,68,58,46,65,67,55,161,169,179,187,191,195,200,205,206,202,216,206,192,173,148,130,167,165,150,125,108,63,53,71,48,51,68,61,162,171,180,187,192,196,200,204,210,201,221,216,195,173,150,129,146,159,138,119,95,44,39,64,64,45,57,65,163,171,181,187,192,197,201,205,209,203,218,213,188,167,151,130,136,145,131,108,82,55,30,48,68,56,46,62,163,171,181,188,193,197,201,205,210,196,221,196,171,171,158,136,129,135,132,98,64,69,32,36,60,67,49,52,160,168,176,182,188,194,199,205,203,167,231,198,181,187,166,137,124,129,129,84,46,70,45,28,50,67,59,51
7,183,197,206,212,217,220,222,223,227,229,231,232,232,234,235,235,235,234,234,233,232,229,228,227,225,223,222,219,184,198,206,213,218,222,223,225,228,232,233,234,235,235,236,236,236,236,235,234,233,232,230,228,227,226,224,221,186,199,208,214,220,222,225,227,230,233,234,236,237,238,239,239,238,237,237,237,234,233,231,230,229,227,227,224,187,200,210,215,221,224,226,229,232,234,234,237,240,240,241,240,240,239,240,239,237,235,234,234,232,230,229,226,188,200,210,217,221,226,228,231,234,235,237,239,240,241,242,242,242,241,241,241,239,237,236,235,234,232,231,228,190,201,211,218,223,227,228,232,235,236,239,241,241,242,242,243,243,243,241,241,240,239,238,237,236,233,231,229,191,202,211,219,225,228,228,232,236,237,239,241,242,244,246,249,250,251,248,247,246,246,242,240,240,235,233,232,191,202,212,219,226,229,231,236,241,243,245,244,241,240,236,227,218,215,214,217,202,189,205,208,221,238,233,234,192,203,213,219,226,231,229,215,207,200,199,199,191,177,169,176,146,151,160,159,155,154,205,199,182,243,235,235,193,204,213,219,226,228,210,174,158,169,169,175,175,166,158,147,142,142,147,138,148,144,156,148,185,238,240,236,195,204,214,219,224,217,198,161,140,147,149,152,156,159,161,161,163,145,145,157,150,145,138,131,150,172,205,240,194,206,214,214,210,198,189,171,154,149,157,168,174,176,176,171,165,134,135,159,147,136,137,126,142,160,155,237,200,212,209,206,198,197,193,179,171,172,178,186,175,172,168,163,140,123,124,126,119,114,114,111,117,130,180,243,219,213,209,206,205,202,186,156,134,144,158,160,146,137,133,126,122,139,156,174,185,196,202,208,212,220,240,241,221,215,215,212,201,181,175,134,117,134,130,110,135,187,201,222,233,247,255,255,255,255,255,255,253,249,243,242,218,217,214,198,178,175,162,130,117,107,95,86,105,147,148,203,255,255,252,251,250,250,249,247,245,245,243,241,220,218,201,182,170,163,165,164,138,105,101,107,102,92,82,86,239,255,254,255,253,252,252,250,249,246,244,243,216,200,177,170,167,166,176,182,148,107,106,109,109,108,102,101,242,255,255,255,255,254,252,252,251,249,247,243,191,176,164,162,159,152,158,153,119,100,93,91,100,100,96,89,230,255,254,255,255,255,253,252,250,250,247,244,174,167,162,161,155,140,137,126,109,90,81,95,105,106,92,98,230,255,255,255,255,254,252,251,250,249,246,243,169,160,154,147,137,123,120,128,124,102,105,116,112,94,112,238,255,255,255,255,255,255,252,251,251,249,247,245,155,143,138,134,131,130,139,148,133,109,99,97,107,130,228,255,255,255,255,255,255,254,251,250,250,249,247,244,150,145,144,138,133,134,138,133,107,102,157,198,228,254,255,252,255,254,254,254,253,252,250,249,248,247,245,243,142,143,140,133,123,118,113,113,141,215,255,255,255,252,252,255,255,255,254,254,253,252,250,249,249,246,244,242,109,111,125,124,125,135,169,215,246,250,245,247,250,252,253,255,255,255,255,254,253,251,250,250,248,245,244,241,58,63,204,205,217,231,241,241,240,243,246,250,250,251,252,253,253,252,252,252,252,250,250,248,245,243,242,239,34,81,219,218,228,229,230,236,241,244,247,251,253,255,254,255,255,254,255,255,255,254,252,251,249,247,247,243,26,117,238,219,222,224,225,226,227,228,225,225,227,227,227,222,220,220,218,214,210,207,205,201,197,192,186,152
21,155,158,160,162,164,165,167,167,168,168,168,168,167,167,166,165,163,162,163,162,159,158,158,156,155,154,151,151,157,159,161,163,165,167,168,169,170,171,171,170,170,169,169,166,169,166,163,164,163,161,159,158,158,156,154,152,158,160,163,165,166,168,171,171,173,172,172,172,172,171,170,168,147,165,168,165,164,163,161,160,160,158,157,154,159,162,164,165,167,171,173,173,174,174,174,173,173,172,173,181,98,137,174,166,167,164,161,162,161,160,160,158,159,163,166,166,169,172,174,175,175,175,175,175,175,172,179,171,94,145,175,166,167,169,166,165,164,162,161,160,161,165,167,168,170,173,174,175,176,176,176,177,178,171,188,164,98,160,175,169,168,152,162,168,165,165,162,160,162,165,168,170,172,173,175,177,178,178,180,178,178,174,194,158,103,169,174,172,157,105,125,175,164,165,164,162,164,167,170,172,174,175,178,179,180,180,180,180,179,180,197,149,109,176,175,168,148,97,138,174,165,166,165,164,164,168,171,173,175,178,179,180,181,181,182,181,178,184,192,138,108,179,175,163,138,98,167,171,168,168,166,165,165,169,173,174,177,179,180,180,181,182,181,183,183,192,186,122,112,184,169,162,122,122,179,170,170,168,168,166,168,170,173,175,178,180,181,181,183,184,183,151,149,207,182,107,137,183,155,152,100,152,179,172,172,170,169,168,168,171,174,175,178,180,182,183,186,184,191,153,101,137,138,91,154,174,159,124,105,179,176,175,174,171,170,169,168,172,175,177,180,181,182,186,184,189,191,187,155,116,85,85,166,164,155,98,145,185,176,175,174,173,171,169,170,174,176,179,180,183,184,185,190,201,189,206,192,133,86,87,118,130,119,103,178,179,179,178,176,175,173,170,171,174,178,180,182,184,186,187,200,156,177,177,177,128,90,84,89,98,85,141,187,179,179,178,178,175,173,171,172,175,179,181,184,186,184,197,191,137,149,116,167,150,102,82,81,85,97,180,183,180,179,179,179,178,174,172,172,176,180,182,185,187,186,202,187,149,111,74,149,170,115,86,80,76,134,193,182,182,182,181,180,179,177,175,174,178,182,183,186,187,190,204,159,128,116,87,156,181,132,100,84,76,163,192,183,183,183,182,180,178,177,175,175,180,182,184,187,186,199,203,164,153,123,145,212,174,148,118,88,77,167,193,185,185,183,182,181,181,179,176,175,179,181,185,189,186,205,205,179,140,135,210,201,157,143,119,93,90,173,193,188,187,184,184,183,182,180,178,176,179,182,186,189,188,212,219,173,140,173,225,182,149,127,118,97,100,185,190,188,187,187,187,185,182,180,179,177,181,183,186,188,188,217,202,163,156,184,220,181,159,118,105,95,118,195,189,188,188,187,186,184,182,180,180,178,181,185,186,190,190,211,187,189,156,189,213,172,152,122,100,91,144,199,190,190,189,188,187,185,184,182,181,175,179,182,185,189,191,199,204,205,156,202,194,158,133,113,103,94,168,197,191,189,189,188,188,186,183,182,180,174,178,182,185,188,190,195,206,192,150,184,178,143,117,104,97,106,186,194,190,188,187,187,186,185,182,181,179,175,179,182,186,190,190,197,193,173,152,165,168,140,121,107,89,126,198,192,192,190,188,189,187,185,183,182,180,175,179,183,186,189,192,196,189,171,171,171,166,162,122,104,84,145,200,192,193,190,189,189,188,186,184,182,180,175,179,182,185,188,191,193,193,196,194,177,159,159,120,95,83,162,200,193,192,190,190,188,187,186,185,182,181
22,180,181,181,180,181,183,182,181,181,182,182,182,180,179,178,176,177,177,175,173,172,171,169,167,165,163,160,158,184,185,184,185,185,186,186,185,185,185,191,187,184,183,184,185,180,180,177,177,176,175,172,170,168,166,164,162,187,188,188,189,189,189,188,188,188,190,156,182,190,187,174,163,186,182,181,181,178,177,176,173,174,172,167,165,190,191,192,192,192,192,193,192,191,189,129,144,199,190,187,112,174,189,184,184,183,181,177,180,145,156,174,168,193,194,195,195,194,195,195,195,193,187,152,111,199,191,196,112,149,196,186,186,185,183,181,189,120,112,182,168,196,196,199,199,197,197,199,197,196,195,171,95,185,196,196,112,127,202,188,189,186,183,188,184,101,123,185,174,198,200,201,202,201,201,202,201,201,195,174,89,166,205,199,119,116,202,191,192,190,186,194,166,89,148,186,175,202,203,202,203,203,203,204,203,204,200,186,116,136,212,204,132,106,202,194,196,192,190,200,143,87,176,182,178,205,204,204,205,206,206,206,204,205,205,199,142,110,211,205,122,94,200,197,197,193,199,192,124,106,194,182,181,207,207,207,208,209,208,208,208,208,208,204,155,84,201,209,117,92,198,201,198,195,196,170,92,144,197,184,185,209,209,209,209,210,209,208,210,210,210,203,175,88,162,217,132,96,195,206,200,198,187,140,79,186,192,186,186,210,210,211,211,211,211,210,211,210,213,197,181,136,107,209,140,92,193,210,202,204,192,114,115,206,190,190,188,212,212,212,212,212,212,212,213,212,214,206,187,164,123,174,142,110,165,212,207,199,173,93,167,204,193,194,193,215,215,215,215,214,215,214,214,214,215,216,192,190,202,195,175,182,114,119,191,191,134,95,202,198,195,194,192,216,217,216,216,217,216,215,216,217,217,219,204,193,176,164,167,179,121,77,89,128,87,137,215,197,197,196,193,217,218,217,218,217,217,218,218,219,217,219,214,205,148,63,102,170,141,110,97,98,57,177,211,202,201,197,195,218,219,219,219,218,219,220,219,219,219,219,214,193,126,76,50,119,149,128,121,117,51,184,213,204,203,201,198,220,220,220,220,221,220,220,221,221,220,220,211,191,157,112,63,58,68,101,122,95,45,141,222,203,205,201,199,222,222,223,223,224,224,223,224,225,223,222,206,195,166,104,66,74,75,105,159,126,71,79,216,205,205,202,201,224,224,225,224,224,225,225,226,226,227,223,204,195,153,106,79,80,113,183,194,164,113,45,155,218,204,204,202,224,223,224,224,224,225,225,225,226,225,224,206,197,170,124,85,86,149,208,215,189,152,56,113,223,203,205,203,224,223,224,225,224,225,225,225,225,225,225,204,195,177,133,85,97,172,213,209,185,137,50,130,221,202,203,202,225,225,226,226,226,226,227,227,227,227,226,199,188,193,139,92,109,192,216,191,155,113,39,169,215,202,203,199,226,226,226,226,227,227,228,228,228,228,227,195,183,187,142,95,107,202,201,170,130,98,56,199,211,204,205,210,225,226,226,226,225,226,227,227,227,227,229,194,177,175,142,93,95,186,184,165,120,76,75,212,210,216,205,144,232,234,235,235,235,236,238,237,237,235,239,210,176,176,141,101,98,178,180,152,103,47,114,234,205,154,87,35,148,153,158,165,169,173,178,180,184,190,196,194,176,168,139,118,94,165,172,130,81,41,147,155,79,38,35,33,98,97,97,99,98,96,97,96,95,98,96,111,182,169,138,121,87,127,134,90,55,39,56,41,19,31,42,25
12,219,219,222,223,224,226,227,226,226,225,225,225,225,224,224,222,223,223,221,221,221,220,220,219,217,216,216,216,220,220,222,224,225,227,228,227,227,228,227,228,226,226,227,228,227,223,224,223,220,221,221,219,218,218,219,217,221,222,222,225,228,227,228,228,229,229,228,230,227,227,216,201,218,226,217,220,231,224,221,219,220,220,220,220,222,222,224,227,228,228,229,229,229,230,229,230,227,224,194,155,129,208,188,151,158,220,227,222,219,221,221,221,223,224,227,227,228,229,229,230,231,231,228,229,231,204,173,144,127,191,167,145,84,164,216,217,228,221,221,221,224,226,227,228,230,229,230,232,230,230,221,183,211,205,190,119,164,211,172,140,127,184,165,126,177,230,220,220,225,227,226,229,232,232,231,231,231,237,224,169,194,240,192,114,202,224,175,145,159,170,150,116,91,180,231,220,226,227,227,230,231,232,232,230,240,250,227,180,176,229,164,111,227,224,158,148,204,184,151,121,97,114,229,222,227,229,229,230,231,234,234,230,247,236,219,177,128,134,136,91,155,174,107,163,237,185,168,116,82,106,225,224,228,229,230,231,233,235,232,238,255,232,196,159,130,74,64,115,161,181,156,201,237,179,136,91,80,112,228,222,229,230,231,232,234,233,236,250,232,223,175,145,125,66,131,222,228,216,203,217,176,131,110,109,88,114,234,224,229,230,233,234,235,232,249,252,218,186,174,191,119,156,239,230,216,208,190,201,201,147,148,143,102,145,237,224,230,232,234,234,235,235,255,247,223,200,173,196,186,249,239,221,212,217,197,197,196,159,129,131,93,195,235,225,231,233,234,235,236,240,255,252,235,232,201,203,228,234,239,217,221,210,187,198,179,141,114,103,95,224,229,226,231,234,236,236,235,242,255,255,243,230,219,208,220,222,227,217,217,201,195,191,160,123,107,84,121,240,226,228,232,234,237,238,237,242,255,255,243,224,208,207,211,218,224,216,212,197,191,167,135,108,102,73,156,244,226,229,232,233,236,236,236,241,255,254,230,208,203,212,211,223,228,215,203,191,168,138,114,100,96,68,187,243,230,229,232,235,237,237,238,241,243,236,224,222,220,214,214,233,222,205,185,175,152,122,108,99,77,99,232,234,232,229,233,236,236,239,239,245,253,254,249,241,227,209,211,231,209,185,164,157,132,115,108,78,85,208,239,232,232,232,235,235,237,239,238,253,255,255,246,233,221,208,206,222,197,168,152,136,121,107,77,104,209,240,232,233,233,233,234,237,238,238,241,255,255,253,242,222,212,209,211,207,182,160,140,124,98,89,158,231,242,234,235,235,235,234,233,236,238,236,244,255,253,245,235,221,206,207,210,196,174,146,120,92,99,204,247,236,235,236,235,235,234,233,240,236,236,232,252,251,241,230,229,218,198,203,199,176,159,139,102,88,207,245,235,237,235,235,235,234,233,231,195,234,242,236,250,233,227,220,218,207,206,202,191,164,141,124,89,174,243,234,238,237,236,235,235,234,233,232,107,110,172,255,237,217,209,206,205,214,205,192,183,154,132,103,106,229,240,240,238,237,236,235,235,234,234,233,116,100,94,199,227,208,198,205,215,218,193,178,172,142,122,83,151,248,240,240,240,237,236,236,235,234,235,234,107,110,111,93,112,126,123,131,149,166,163,163,156,131,108,81,204,247,239,241,240,239,237,236,235,234,236,233,106,103,109,96,44,64,71,67,65,67,74,91,110,110,80,114,232,241,240,240,240,239,238,236,234,234,234,234
2,169,170,170,170,170,170,171,170,169,170,169,164,170,166,167,167,165,165,164,162,161,161,159,157,156,156,153,152,172,173,172,173,172,172,172,171,172,172,167,181,185,122,143,173,169,169,167,165,165,164,162,161,160,158,156,154,175,175,176,176,176,175,174,175,172,170,198,192,135,90,93,153,160,120,162,172,167,166,166,164,163,161,158,158,177,177,177,178,179,177,178,175,180,207,201,125,92,84,94,122,128,85,138,171,167,167,166,166,165,164,161,160,178,179,178,178,180,179,177,189,226,210,149,95,90,83,74,85,87,83,77,137,179,168,170,167,166,165,164,162,179,180,179,180,180,181,175,216,217,147,102,82,84,87,81,59,78,92,80,81,136,179,170,170,167,166,164,163,180,181,181,183,184,178,192,228,174,100,77,62,66,75,76,77,78,80,78,67,132,179,170,171,169,168,167,166,183,184,183,185,185,182,223,208,139,98,82,72,59,78,99,104,82,96,109,142,176,173,173,172,171,171,169,167,185,186,186,187,181,208,222,159,106,82,86,84,75,92,89,93,146,174,180,182,178,177,174,174,173,172,171,169,187,187,188,184,200,228,206,139,96,73,83,80,89,81,113,172,187,184,182,180,180,179,177,175,175,175,172,171,188,188,187,188,224,226,188,133,105,93,78,82,93,123,197,187,185,186,185,184,182,181,179,178,177,175,173,172,190,191,187,201,228,214,164,122,102,102,89,86,88,151,198,186,187,187,187,185,184,183,180,180,179,177,176,175,192,194,189,218,228,204,149,111,100,100,97,84,103,190,192,190,186,188,187,186,186,185,183,181,180,180,178,176,195,191,201,228,225,188,138,110,97,96,97,88,153,202,191,192,190,188,188,188,187,186,184,184,182,180,180,179,196,192,221,228,216,167,123,105,101,94,93,96,187,196,194,194,192,191,189,189,188,187,185,185,184,182,181,180,194,205,228,227,201,153,114,102,100,100,88,120,205,193,196,195,194,193,192,191,189,188,190,188,185,184,182,181,194,220,228,223,184,135,105,101,98,99,72,146,210,195,197,197,196,193,193,193,193,189,185,179,186,188,184,183,207,228,228,211,160,118,105,97,90,86,72,107,203,203,195,197,195,196,195,195,182,163,158,147,123,181,187,186,223,228,225,189,147,122,109,92,80,80,87,79,118,195,207,201,201,200,198,170,164,158,140,108,122,185,189,186,225,227,214,176,150,127,108,83,74,87,86,96,98,109,155,185,174,165,167,158,170,140,114,158,193,191,188,187,228,228,218,177,146,123,101,81,83,100,104,118,128,114,108,136,144,158,165,169,157,112,174,203,192,191,191,190,166,176,185,165,142,116,96,86,94,110,125,129,137,137,128,153,156,161,156,136,108,144,203,193,194,193,192,191,58,58,50,51,66,63,65,77,101,117,126,133,140,142,129,145,133,126,133,148,170,198,198,197,196,195,192,191,65,55,34,30,39,34,25,30,62,113,124,130,136,130,106,112,144,179,196,207,206,199,199,198,197,195,194,193,60,49,34,36,42,33,27,21,16,51,119,125,114,111,147,187,209,210,205,203,204,203,201,200,199,198,197,195,54,45,36,37,36,29,23,18,21,14,62,113,141,193,214,211,206,205,206,205,203,203,202,200,199,199,197,196,49,45,36,38,34,26,20,17,22,12,53,197,214,211,206,207,209,210,207,207,206,204,203,202,201,200,198,197,49,42,35,36,33,25,19,18,25,9,152,227,205,209,209,209,210,209,207,208,207,205,206,206,203,201,200,199
24,65,75,84,89,93,99,102,105,109,113,115,119,122,124,127,128,129,131,133,134,137,139,140,139,140,140,139,140,68,77,85,91,97,101,103,107,111,114,116,123,124,127,128,131,133,134,137,140,141,141,142,140,140,140,141,142,71,79,88,92,98,102,105,109,114,116,119,123,128,129,130,133,134,137,140,141,142,142,142,142,143,144,143,144,72,80,90,97,100,105,105,110,114,118,121,126,129,131,131,135,136,140,141,142,143,144,146,143,146,147,146,147,75,83,92,98,102,105,109,112,117,121,125,126,129,130,132,136,139,141,141,144,146,149,148,146,148,148,148,149,77,85,92,99,104,115,99,114,118,122,125,129,131,132,136,139,140,142,144,145,147,148,148,148,149,150,150,148,76,86,94,96,127,124,49,111,121,123,127,132,134,136,140,141,143,144,147,147,147,149,150,151,152,152,151,154,79,88,96,98,153,86,47,117,122,126,129,133,136,137,141,141,144,147,148,151,155,155,151,152,154,155,154,155,81,92,92,118,154,59,67,125,121,129,135,135,137,143,145,144,145,148,149,136,106,124,156,154,155,155,155,155,81,94,87,146,140,41,89,126,127,122,112,135,134,111,129,151,147,153,116,69,40,51,156,158,157,157,157,158,83,93,95,173,112,83,105,106,154,125,62,103,136,96,67,129,159,138,72,33,34,103,161,157,159,159,159,158,87,91,107,177,113,171,123,92,152,121,49,110,122,99,48,75,179,114,52,32,131,166,158,159,160,160,160,160,87,87,130,173,157,182,134,92,144,107,39,103,109,73,31,120,151,87,34,83,174,156,161,162,163,161,161,162,89,86,147,172,155,206,134,84,136,99,28,16,84,77,87,137,95,54,34,145,164,162,163,164,164,164,164,164,92,86,159,191,149,191,126,67,144,78,52,70,122,130,108,100,83,30,79,173,162,166,166,165,164,165,166,165,89,102,175,173,144,165,105,47,136,145,157,163,133,103,80,65,69,31,132,174,164,166,166,167,167,167,166,167,80,137,148,128,110,133,116,82,172,196,173,150,121,92,62,53,47,48,167,167,168,168,167,169,170,170,169,169,88,179,153,121,97,96,120,182,203,185,172,152,111,78,50,48,27,96,180,167,171,170,170,171,170,170,170,170,118,203,154,128,111,83,120,211,185,170,157,126,95,64,43,40,21,139,176,171,171,172,173,174,172,172,172,172,162,208,155,145,133,146,189,200,175,151,137,105,75,53,41,37,28,152,177,172,172,172,173,174,175,175,175,174,189,209,168,156,144,176,191,172,152,131,120,89,62,48,41,31,53,174,172,174,175,175,174,177,176,175,176,175,193,221,180,158,141,161,173,157,143,115,109,76,54,39,36,20,121,180,172,175,175,176,176,178,178,176,176,177,178,228,185,169,149,154,169,162,135,113,100,67,45,32,10,79,179,173,175,176,177,177,178,179,179,178,179,178,147,216,179,161,161,148,147,155,122,95,82,57,28,15,89,168,172,173,176,178,180,181,180,178,178,180,182,181,129,193,182,166,167,148,126,144,121,89,70,41,5,90,178,170,173,176,177,178,179,181,182,180,182,182,182,183,117,188,184,167,153,146,117,133,114,88,64,16,41,163,167,171,174,177,177,179,180,181,182,182,183,183,184,183,119,198,188,158,135,145,117,118,107,81,63,14,90,177,167,173,175,177,178,181,182,181,182,183,183,184,185,184,127,198,189,148,122,149,113,108,109,78,55,19,101,177,167,174,177,178,180,182,183,183,184,185,185,185,186,186
16,92,102,108,112,116,122,127,131,135,138,140,144,148,150,153,155,156,157,158,159,161,161,161,162,163,163,163,163,96,105,111,114,118,124,130,135,138,140,143,147,150,153,156,158,160,160,164,165,164,165,165,166,166,165,166,166,98,108,113,117,121,128,133,138,141,144,147,150,153,156,159,162,164,162,158,156,159,165,170,169,168,169,170,169,100,110,114,118,124,130,135,140,143,146,148,151,155,159,162,159,148,140,129,114,108,109,127,162,173,171,172,173,102,113,117,121,126,132,138,144,146,150,154,156,157,153,144,134,129,133,123,106,97,89,73,87,151,175,174,174,105,114,118,123,128,134,140,146,147,150,149,143,137,131,128,130,124,117,111,91,89,92,72,60,81,167,179,177,105,115,119,123,130,137,143,144,158,152,136,116,123,123,131,119,110,113,96,77,77,78,68,67,58,132,184,178,108,117,121,125,133,139,143,156,177,162,164,117,131,147,133,104,112,100,85,73,71,68,65,67,60,113,184,179,110,118,123,127,135,141,147,163,157,161,161,127,159,161,101,99,97,76,75,68,64,64,67,69,60,129,187,183,113,121,125,130,137,142,150,145,151,169,145,139,177,154,103,95,78,67,65,64,63,61,65,68,66,156,188,185,115,123,127,131,138,143,150,148,157,174,157,153,173,138,124,108,83,64,61,63,64,63,64,61,92,179,187,187,115,125,129,132,139,146,152,155,156,171,166,153,168,150,131,103,80,63,58,61,65,65,65,59,122,189,189,189,117,126,129,134,142,149,154,158,153,171,167,163,165,144,111,82,67,56,60,64,67,67,64,63,153,193,189,191,120,126,129,136,143,150,156,161,158,169,172,169,149,120,84,64,46,42,63,71,67,67,63,72,176,193,190,192,122,129,131,137,144,151,157,161,163,169,173,158,126,92,63,28,13,48,67,74,69,67,59,87,191,192,192,193,125,131,133,139,147,153,158,163,166,163,160,133,100,78,27,0,9,49,69,81,78,71,53,103,198,191,192,193,125,131,135,141,149,154,159,164,168,155,139,108,86,57,6,5,9,37,66,83,86,71,49,121,204,193,195,194,126,133,136,142,150,155,160,165,170,158,122,90,73,42,19,10,23,24,56,90,87,67,53,132,204,193,196,196,128,133,136,143,152,157,162,166,172,154,104,66,55,56,53,37,35,42,69,97,79,69,55,141,205,195,197,198,131,134,137,145,152,157,163,167,171,149,86,82,67,47,55,51,50,85,87,101,74,70,57,155,207,197,199,199,132,135,138,146,154,160,163,171,165,125,67,173,178,116,88,68,100,101,97,98,69,68,56,161,207,197,199,200,131,134,139,147,153,159,161,160,145,78,114,192,184,183,162,130,107,103,115,97,64,66,52,153,209,198,202,203,131,134,139,147,154,159,158,150,106,73,177,184,183,172,154,129,101,119,126,100,63,63,52,130,216,205,199,195,131,135,140,147,153,165,170,132,64,145,189,183,181,173,150,130,102,127,133,103,65,60,61,71,107,89,117,155,131,135,141,145,162,190,143,70,115,182,178,183,180,170,147,128,103,125,140,109,58,62,65,50,34,35,93,113,133,135,140,143,181,144,84,126,180,176,180,181,177,168,149,130,103,107,141,123,62,62,62,55,34,66,62,54,132,136,141,148,159,129,152,177,173,178,181,183,175,166,148,128,104,90,129,134,75,60,61,48,7,44,59,50,132,136,143,150,156,167,170,169,174,178,180,183,172,164,149,123,100,90,97,125,92,62,62,37,3,31,59,44
22,116,123,127,130,136,142,145,149,151,154,156,157,160,161,161,161,162,161,160,159,160,159,157,156,155,154,153,152,118,124,128,131,138,142,147,149,153,155,156,162,162,162,163,164,161,164,166,162,161,161,159,158,156,156,155,154,119,127,130,134,139,144,149,153,154,171,145,126,168,163,165,164,167,150,143,167,162,162,160,162,162,157,156,155,121,129,132,135,140,146,151,154,153,189,149,93,167,165,167,165,177,136,89,165,165,163,165,147,144,162,158,156,122,129,132,136,142,147,152,156,155,192,158,92,165,168,168,169,172,124,87,171,165,166,169,119,90,164,160,158,123,130,134,138,144,148,153,158,155,190,169,97,161,171,169,171,166,110,107,177,164,171,166,110,98,169,160,160,124,131,134,138,145,151,155,159,156,194,184,106,151,175,169,165,159,97,131,177,170,177,148,83,137,171,162,162,125,132,135,140,146,153,156,161,157,193,181,106,141,179,169,159,145,84,149,174,182,177,125,94,170,166,164,163,126,134,137,141,147,154,158,162,159,191,179,106,126,182,168,169,149,81,162,178,176,151,101,131,175,166,166,165,127,135,138,143,149,155,159,163,162,185,196,134,116,181,167,169,131,91,183,195,174,118,87,168,170,169,167,166,129,136,138,143,150,156,159,164,166,177,196,137,101,178,150,151,90,110,204,193,166,94,119,181,169,170,169,168,130,136,139,145,152,158,162,165,168,170,196,125,70,140,136,150,139,169,192,174,139,79,164,177,172,171,170,168,131,137,140,145,152,158,163,165,176,150,152,116,91,145,156,156,180,180,175,150,88,110,184,173,174,172,170,170,132,138,141,146,152,159,164,169,185,150,131,118,127,129,141,164,168,168,165,117,78,169,179,175,175,174,172,170,133,140,141,147,155,162,162,179,191,162,169,156,147,97,72,135,152,163,137,86,117,191,176,177,176,176,173,172,134,140,143,149,156,162,163,185,203,169,155,159,148,128,97,67,107,118,94,72,140,190,178,177,177,176,174,174,134,141,143,150,157,162,163,196,195,159,105,98,141,151,134,98,64,72,78,67,166,187,181,180,179,178,176,174,134,140,143,150,158,163,166,200,196,160,104,60,97,158,148,127,96,72,63,67,177,186,183,181,181,179,176,175,135,141,144,151,158,164,166,203,214,163,171,87,118,188,162,133,116,95,55,49,168,189,183,182,181,180,178,176,136,141,144,152,158,165,167,204,212,163,155,92,162,205,170,139,122,96,53,43,167,191,182,182,181,181,181,178,137,141,144,151,158,165,166,204,214,164,143,151,199,177,168,134,109,86,47,59,184,187,183,182,183,182,181,178,135,141,144,150,158,165,164,197,208,180,149,174,207,161,150,151,104,80,39,92,196,182,183,182,182,182,181,178,136,141,143,152,159,166,166,191,206,188,150,179,200,162,146,146,115,70,35,126,197,182,184,182,182,182,181,178,137,141,144,152,159,167,167,185,200,191,153,164,189,157,141,134,100,59,38,159,194,185,186,183,183,183,181,179,136,141,144,151,159,165,171,167,199,184,154,138,161,135,117,106,73,42,65,190,186,185,185,181,181,180,180,179,137,143,146,154,162,169,175,63,136,183,120,110,124,123,102,79,62,43,137,204,192,193,191,189,187,188,187,185,116,119,121,124,126,133,110,42,44,110,115,121,126,137,117,80,61,54,129,137,134,133,134,135,134,135,134,134,95,95,94,96,96,89,52,46,47,40,96,123,122,130,115,73,43,32,84,85,83,82,81,81,79,79,70,55
7,119,141,153,161,167,172,176,176,178,181,184,185,186,187,187,188,189,189,189,188,186,186,184,183,182,180,179,178,121,142,155,163,168,173,176,178,179,182,185,186,188,188,188,189,191,190,190,189,188,187,186,185,184,182,180,179,123,144,155,164,169,174,177,179,181,184,186,187,189,190,191,192,192,192,192,191,190,188,188,187,185,184,182,181,124,145,156,165,171,175,179,181,183,186,187,188,190,192,193,193,193,193,192,192,192,190,189,189,188,186,185,183,124,146,156,165,172,176,179,181,184,187,187,189,191,193,194,194,194,194,194,193,193,192,191,190,189,187,186,184,125,147,157,166,172,177,180,182,184,187,189,190,192,194,194,195,194,195,194,194,191,188,187,186,188,189,188,185,125,147,157,166,172,177,180,182,185,187,190,190,189,186,180,172,160,157,153,155,144,136,158,164,158,190,188,187,126,148,158,167,173,178,179,171,163,158,157,154,149,137,132,136,114,123,124,120,119,121,156,154,135,188,190,189,129,149,159,168,174,179,164,136,128,134,136,139,138,129,122,113,108,108,109,108,110,107,108,106,129,167,182,190,130,150,158,168,177,173,154,123,115,119,119,120,121,121,123,126,124,110,115,123,117,112,108,103,107,131,132,182,131,150,162,171,171,161,147,126,112,109,118,128,136,138,136,130,120,100,104,118,108,99,97,92,99,120,114,174,132,161,169,167,161,155,150,138,133,134,139,143,135,133,127,121,105,94,97,100,94,90,90,90,94,110,139,188,163,171,167,165,163,159,143,120,111,115,124,123,116,114,108,98,92,105,121,141,155,168,176,181,186,189,192,194,178,172,170,168,162,144,131,98,91,101,99,88,82,97,141,162,180,193,200,202,202,202,201,200,200,197,196,195,177,173,170,159,142,135,120,92,86,79,68,58,64,71,93,111,189,204,203,204,203,202,202,201,200,198,196,195,175,174,161,146,136,129,123,113,94,74,71,73,72,69,65,60,137,205,204,205,204,203,202,202,201,199,197,196,174,164,145,134,129,126,136,136,108,77,74,75,75,72,69,65,135,206,206,205,204,204,203,203,202,199,198,195,159,144,129,126,124,121,123,120,90,70,68,65,69,70,68,59,105,205,207,206,206,205,203,203,201,201,199,196,137,129,124,121,116,108,108,97,77,62,52,59,71,73,71,68,130,204,206,207,206,206,203,202,201,200,199,197,131,127,123,118,108,95,89,89,84,72,69,77,79,75,73,141,202,207,206,206,206,205,203,202,202,201,199,196,124,114,107,100,94,90,96,104,97,78,74,75,75,81,130,196,204,205,205,204,204,204,202,202,200,199,197,195,115,107,104,101,98,97,100,102,89,75,87,124,155,184,199,202,203,204,203,203,203,202,202,201,200,198,196,195,110,107,105,101,93,90,89,85,82,123,179,196,200,201,202,203,203,203,203,203,203,202,202,201,200,199,196,195,88,89,91,91,87,84,94,129,165,190,196,198,200,200,202,202,203,203,203,202,203,202,201,201,199,199,196,195,56,36,91,128,138,154,173,183,187,192,195,197,199,200,201,201,202,202,202,202,202,201,201,201,198,196,195,193,42,11,114,164,171,177,180,182,185,189,191,194,195,197,198,198,198,197,198,197,195,194,195,193,190,189,186,185,21,16,126,152,150,148,147,147,146,146,145,142,141,142,142,141,138,136,135,134,131,128,126,124,120,114,95,87,4,25,99,109,109,111,110,110,112,112,110,110,110,111,111,109,108,107,106,106,105,104,103,100,97,69,36,31
5,141,145,148,151,154,157,159,161,162,164,165,165,166,166,166,165,165,166,166,164,165,164,163,162,160,160,160,159,142,147,150,153,157,159,161,163,164,165,167,167,167,167,168,167,167,166,167,167,166,166,165,164,163,162,162,161,144,149,153,156,159,160,163,165,165,167,168,169,171,170,170,169,168,176,123,153,171,167,167,166,166,165,162,161,146,151,155,157,159,161,164,166,168,167,176,159,128,175,171,169,180,168,99,149,175,169,168,167,167,166,164,162,148,153,156,159,162,163,165,168,171,168,185,151,103,176,174,174,188,125,114,176,172,172,171,170,169,168,167,166,149,153,157,160,164,164,170,171,172,168,197,126,121,184,173,186,162,93,152,180,173,173,172,172,171,170,168,168,151,155,159,162,164,174,145,164,175,178,198,99,147,185,179,184,125,114,182,176,175,175,175,174,173,172,171,171,153,156,160,164,164,185,130,133,179,191,184,94,167,183,181,154,102,160,185,178,178,177,177,177,176,174,174,174,154,158,161,165,166,183,155,111,181,194,148,104,179,178,172,109,122,188,181,181,180,179,179,179,178,177,176,176,155,159,163,167,168,178,175,104,176,183,109,119,186,166,161,97,156,190,182,182,182,182,181,180,180,180,179,178,156,161,164,169,172,173,193,127,150,183,117,122,178,158,146,105,173,189,184,186,186,185,182,181,181,180,181,180,158,162,166,170,173,173,193,159,118,177,128,113,141,147,120,117,190,187,184,171,175,185,188,183,182,182,182,182,159,163,168,170,174,176,186,188,139,128,129,113,121,139,105,131,193,178,178,181,172,165,165,187,184,184,183,182,160,164,170,173,177,179,179,188,176,132,120,125,121,125,104,125,161,173,164,165,175,177,141,164,191,185,185,184,161,166,170,174,176,180,182,181,196,177,136,122,109,109,101,122,133,140,124,113,146,157,163,128,166,190,186,186,162,166,169,174,177,181,185,182,207,208,154,119,106,102,99,116,122,103,128,174,194,186,167,163,131,187,188,187,163,167,173,175,179,181,185,183,197,221,167,119,104,101,100,110,108,128,196,195,193,186,177,139,154,195,188,189,164,168,173,176,180,181,185,185,189,222,166,122,105,101,98,111,95,152,207,191,194,172,155,112,176,195,190,192,164,169,174,178,181,183,187,186,186,210,161,125,108,97,96,113,114,124,169,199,187,167,135,106,178,196,191,191,167,170,174,179,181,184,187,187,185,213,163,127,113,99,98,110,119,133,133,139,168,167,121,127,194,194,193,192,166,170,174,179,181,184,188,187,188,211,162,137,121,102,96,112,125,140,149,125,154,154,119,166,200,195,194,194,166,171,176,179,182,185,189,187,189,203,164,144,123,105,95,119,139,146,151,130,129,138,132,196,195,195,195,194,167,172,177,180,184,186,190,187,187,202,167,145,122,107,96,122,141,144,140,124,116,118,167,202,195,196,194,194,168,173,178,181,185,186,190,189,190,197,164,141,124,111,104,118,133,132,131,118,122,168,200,198,198,197,196,196,169,173,178,182,185,187,190,187,201,199,158,139,129,112,110,119,130,130,122,121,184,205,198,198,198,198,198,197,169,174,179,183,186,186,191,185,207,207,170,144,125,114,110,117,122,117,117,168,205,198,199,199,199,199,198,198,169,175,179,182,186,187,192,187,205,198,167,132,112,114,116,117,118,130,180,203,200,201,200,200,200,199,199,197,170,175,179,182,186,187,192,192,205,195,170,132,111,115,115,113,130,192,208,200,201,201,201,200,200,200,199,198
24,136,138,139,140,141,141,141,141,142,141,142,142,142,143,142,142,143,142,142,141,141,140,139,141,79,13,3,6,139,140,141,142,142,143,143,143,144,144,145,145,145,145,144,144,145,145,145,144,142,141,143,127,60,20,14,9,141,142,144,144,144,145,146,146,146,146,147,147,146,147,147,146,147,147,147,146,145,144,146,130,45,19,24,33,143,144,146,147,147,148,148,148,148,148,149,148,149,149,149,148,148,148,148,148,147,146,146,141,60,21,39,35,144,146,147,147,148,149,150,150,151,150,150,151,151,150,151,152,152,151,151,150,149,148,145,152,101,22,38,20,146,147,148,150,150,151,152,152,152,152,153,153,153,153,153,153,153,153,153,152,151,151,150,150,138,45,28,15,147,149,149,151,152,153,153,154,153,153,153,154,154,154,154,154,155,155,154,154,153,153,152,149,158,79,20,13,149,150,152,152,151,149,156,154,154,155,155,155,155,157,156,156,157,157,157,156,155,153,154,151,158,120,15,12,150,151,154,153,157,113,143,159,155,157,157,157,157,158,158,157,158,158,158,158,157,155,155,154,155,145,87,86,151,152,154,154,156,106,109,166,156,158,158,158,158,158,159,159,159,159,159,158,158,158,157,156,156,147,105,146,152,153,156,156,159,124,77,155,160,158,159,158,158,159,159,159,160,159,159,162,159,158,159,157,159,145,122,160,153,154,156,158,158,142,84,119,167,157,159,158,160,161,164,161,162,165,163,143,156,161,158,159,158,156,143,117,153,155,158,158,159,157,119,80,156,162,160,160,162,155,146,165,155,137,170,125,102,158,160,159,159,157,142,95,154,156,157,158,159,161,143,94,106,166,162,158,169,157,116,150,154,89,128,151,77,139,167,159,157,151,121,97,155,158,158,159,159,161,154,134,101,128,167,157,179,175,146,116,147,105,112,160,87,140,168,157,165,147,95,73,154,157,158,158,159,161,160,145,120,111,147,163,159,180,169,106,126,132,105,152,104,138,169,159,170,112,78,127,154,156,157,157,159,159,160,156,139,147,136,146,141,157,177,123,95,136,104,158,105,120,147,159,152,75,129,169,154,157,158,159,159,159,161,159,169,159,141,124,116,114,163,141,81,108,116,156,121,74,126,153,110,94,165,155,154,156,158,159,159,160,162,161,170,170,129,114,96,85,126,150,78,99,129,137,145,82,139,128,88,147,162,157,154,156,158,158,158,160,162,162,162,174,172,134,95,100,107,139,100,95,149,97,117,134,136,95,96,166,159,159,160,162,164,164,164,164,165,167,165,173,179,172,134,94,104,128,122,82,150,101,153,149,124,79,129,166,159,159,122,125,127,131,134,138,142,145,145,158,186,179,176,124,95,128,152,126,147,161,163,123,105,95,169,168,164,161,70,70,71,73,73,73,75,75,73,89,182,172,177,153,113,104,154,188,188,181,144,115,93,85,112,111,129,144,77,77,78,78,77,77,77,77,79,69,145,174,177,171,132,110,118,175,180,158,130,105,81,89,111,137,156,167,77,76,76,76,78,78,78,79,80,74,93,174,182,172,141,116,110,155,169,141,125,85,91,171,172,166,167,175,76,75,75,75,77,78,78,79,79,81,70,146,171,147,122,106,110,133,146,126,102,75,122,146,152,165,159,164,76,77,76,76,76,76,77,79,79,81,69,123,169,131,126,118,115,125,133,116,80,88,159,132,124,144,152,153,74,75,75,77,77,77,77,78,78,79,71,109,171,150,147,134,124,127,131,107,68,98,156,144,101,117,140,151
4,172,172,172,172,172,172,171,171,169,167,167,165,166,168,165,164,164,159,159,158,157,157,156,156,154,151,148,148,173,173,173,173,173,173,171,172,172,169,169,171,171,169,165,162,164,166,158,158,158,158,157,156,154,153,150,149,176,176,175,175,174,173,173,174,173,171,159,144,149,163,166,137,104,127,169,163,164,164,156,157,156,154,151,150,177,177,176,175,175,175,175,175,174,175,165,156,141,119,120,135,124,81,128,149,122,138,161,156,157,155,153,152,178,177,176,177,177,177,176,176,168,167,163,155,150,143,97,73,114,118,80,75,83,59,126,165,155,156,155,153,179,178,178,178,177,178,177,172,158,158,145,111,67,122,105,47,76,116,81,44,75,64,71,166,156,157,156,154,180,180,179,180,179,179,178,174,173,160,149,121,61,81,107,54,56,95,63,43,89,85,52,147,162,157,156,155,180,180,179,179,179,178,180,173,127,94,124,142,80,75,115,104,87,85,51,55,98,87,50,143,165,156,156,155,182,181,181,180,180,180,179,181,142,78,39,150,123,91,115,135,136,90,87,88,87,109,68,140,164,158,156,155,182,181,182,181,181,181,181,172,123,70,17,81,124,74,77,96,126,98,90,93,87,101,62,100,172,158,158,156,182,182,183,185,182,180,183,160,119,99,87,53,53,64,52,46,70,103,94,88,84,81,70,65,167,160,158,157,184,183,185,185,183,181,183,164,149,126,88,57,43,61,57,62,52,68,83,77,74,94,91,50,143,166,160,159,185,185,185,185,184,183,184,171,151,114,81,53,50,58,62,83,75,50,35,82,126,120,100,54,109,171,158,157,186,186,187,187,186,184,183,173,136,99,68,47,49,61,83,87,86,84,96,107,123,126,111,77,75,169,159,157,188,188,188,187,187,183,183,172,142,114,80,55,61,70,84,99,97,118,144,143,118,145,135,94,56,158,163,158,189,188,189,188,188,186,182,177,154,121,87,58,58,70,98,113,120,129,144,153,145,126,120,89,42,147,165,158,187,187,188,189,189,187,182,172,157,130,98,62,57,77,100,117,134,142,152,147,133,121,94,67,45,159,165,160,187,187,188,189,190,187,180,166,164,142,111,80,62,63,98,129,141,157,159,145,123,106,85,38,88,175,161,161,188,188,188,188,190,189,178,160,164,148,118,94,73,61,100,142,153,163,155,137,113,97,69,35,149,169,163,162,188,188,188,188,189,189,177,157,155,146,121,99,80,70,101,152,154,155,144,124,103,88,46,82,178,163,164,163,188,188,189,190,190,191,179,154,150,149,133,106,88,80,110,154,148,142,130,111,92,74,37,144,173,165,164,162,189,189,191,191,191,192,183,152,151,153,138,111,100,85,118,147,143,136,118,93,81,45,71,178,168,168,165,163,189,190,191,190,190,192,190,163,154,157,143,120,103,82,114,141,136,127,105,80,65,33,144,178,170,170,167,164,190,192,191,190,192,192,193,168,164,161,141,125,107,84,103,132,123,109,85,70,30,91,184,170,170,169,166,165,190,191,190,192,193,192,190,175,170,156,141,130,114,92,95,112,104,87,71,43,51,173,174,171,170,168,166,165,192,192,192,192,192,193,190,177,171,154,139,124,110,98,89,95,92,74,56,25,147,181,172,171,171,169,167,166,193,193,192,192,191,193,184,176,166,154,144,135,124,115,96,87,85,69,31,89,187,173,174,172,170,169,168,166,193,193,193,193,192,192,175,175,168,156,145,143,127,118,100,85,77,55,36,156,182,177,175,172,171,169,167,166
11,141,144,147,150,152,155,156,158,159,159,159,159,158,159,159,159,158,158,157,156,155,154,153,151,149,147,146,145,143,145,149,152,153,156,158,159,160,160,160,161,160,160,161,160,159,159,158,157,156,155,153,152,151,149,148,147,145,148,151,153,155,158,160,162,163,163,163,163,166,144,152,162,161,160,159,158,157,157,156,154,153,151,149,127,148,151,153,156,158,161,162,164,165,166,166,164,180,137,126,165,163,163,162,160,159,159,157,155,154,154,145,77,151,155,156,159,162,164,165,167,168,168,168,166,190,142,112,167,165,165,165,163,162,161,159,158,156,156,116,50,154,157,159,162,165,167,167,169,171,171,170,170,199,135,110,169,168,167,166,165,164,163,161,159,159,156,89,49,156,159,161,166,168,170,171,172,174,175,173,179,212,130,120,172,170,170,169,167,166,165,164,163,163,153,77,53,159,162,166,168,170,172,173,175,175,165,178,173,188,125,129,175,174,173,172,170,169,168,167,167,166,159,97,65,161,165,168,170,173,175,176,195,182,125,155,140,108,129,109,159,178,175,175,173,172,170,170,169,167,167,119,68,163,166,169,172,175,177,197,213,193,150,104,114,88,104,94,138,181,177,176,176,175,172,173,172,171,170,141,69,165,169,172,175,177,194,221,184,181,171,110,94,89,111,100,141,182,180,179,178,177,177,175,174,173,172,163,91,167,171,174,175,186,219,200,146,140,166,107,86,85,111,101,146,185,183,182,181,180,180,177,176,175,174,171,130,169,172,175,177,208,219,171,134,143,151,84,87,83,106,97,155,188,186,184,183,182,181,180,179,177,175,174,152,171,174,178,179,219,211,156,112,121,123,77,88,81,100,93,170,189,187,186,185,185,183,181,180,179,178,176,149,173,176,179,181,224,215,169,119,83,82,89,77,86,100,99,183,190,189,188,187,187,185,183,182,182,180,179,168,174,177,180,185,231,214,164,111,74,62,95,71,106,102,80,166,193,191,190,188,182,175,169,168,175,182,181,178,175,178,181,192,237,213,162,117,82,64,75,66,107,96,64,103,174,183,171,153,141,132,126,115,112,153,183,180,178,181,183,197,237,209,165,126,92,74,76,81,100,101,95,97,109,121,126,136,137,122,106,102,94,130,184,182,179,183,184,197,233,206,166,130,99,80,84,118,140,140,130,119,107,112,123,123,111,102,125,160,170,176,185,183,180,184,187,200,233,209,173,137,106,86,96,137,142,134,126,120,105,96,98,111,141,164,187,193,191,188,186,184,182,186,188,205,232,213,180,141,116,96,108,134,135,127,113,105,89,91,135,182,195,196,195,193,192,189,187,185,183,188,187,218,234,213,178,139,118,102,109,121,124,116,98,89,113,167,197,199,197,196,196,194,193,191,188,187,185,187,195,232,227,199,163,128,109,102,108,108,111,104,90,136,191,202,202,201,199,198,197,195,195,193,190,188,186,190,224,234,215,187,151,122,105,104,106,98,96,97,146,200,204,203,202,202,201,199,198,196,195,194,192,190,184,201,236,226,200,176,146,124,109,102,97,88,121,175,205,207,204,203,202,202,201,200,199,198,196,194,193,191,185,213,236,219,177,148,135,121,106,95,83,116,192,209,209,207,206,205,204,204,202,201,200,199,198,196,194,192,189,224,234,209,157,126,118,110,95,84,98,181,210,209,209,208,207,206,205,204,203,202,201,199,199,197,195,193,201,231,231,197,137,118,111,102,86,81,153,211,213,212,211,210,208,207,206,205,204,203,202,201,199,198,196,194
3,135,138,141,143,145,147,148,149,150,149,150,149,148,148,148,148,146,144,146,142,141,141,140,138,137,135,133,132,138,141,143,145,148,149,151,152,153,153,152,151,151,151,150,149,155,146,129,147,143,143,142,141,138,137,136,134,139,143,145,147,150,152,153,154,154,154,154,154,153,153,152,148,169,149,84,141,148,145,144,143,141,139,137,136,141,144,147,149,151,153,155,155,156,156,155,155,156,155,155,151,168,147,79,125,153,147,145,144,143,141,139,137,144,147,149,151,153,155,157,158,158,157,157,157,157,157,157,152,167,150,83,121,156,147,148,147,145,142,141,139,145,148,150,153,155,157,158,161,161,159,159,159,160,158,157,154,168,173,101,111,157,150,150,148,146,144,142,140,146,149,152,154,157,159,161,162,163,162,162,161,162,161,160,155,172,181,104,97,157,152,151,150,148,146,143,142,147,151,154,157,160,162,163,164,164,164,164,164,163,162,162,158,174,174,98,91,157,153,153,152,149,147,145,143,149,152,156,159,162,164,165,166,166,166,165,165,165,165,164,158,182,181,105,92,159,155,154,153,151,148,146,144,151,155,158,161,164,165,167,168,168,168,168,167,166,165,164,161,157,151,104,89,158,157,156,155,152,150,148,146,153,158,161,163,165,168,169,170,171,170,170,169,168,165,175,180,114,79,70,84,164,157,158,156,154,151,149,147,155,159,163,165,168,170,171,172,173,172,171,173,180,166,125,135,159,113,54,105,174,163,159,157,156,153,151,148,157,162,165,167,170,172,174,174,176,173,177,147,163,167,103,77,182,122,86,88,120,139,161,158,156,155,152,149,158,163,166,169,171,173,175,177,176,181,187,135,92,150,133,87,144,125,104,87,110,90,136,165,156,155,154,151,161,165,168,170,173,175,176,177,180,199,184,164,111,122,146,84,103,139,125,103,116,75,119,170,159,158,154,152,163,167,170,172,174,177,179,177,192,184,177,174,120,96,131,82,100,109,86,103,97,64,114,172,160,159,156,154,164,168,171,175,176,177,180,178,203,191,155,160,123,79,113,80,102,154,74,116,126,70,104,174,161,161,158,156,165,169,172,176,177,179,181,182,190,173,140,148,101,65,110,64,100,187,88,97,138,74,81,172,163,162,159,157,166,170,174,176,178,181,183,182,188,194,172,145,97,86,106,80,77,136,94,100,113,68,76,170,165,164,161,159,167,172,174,176,180,182,184,184,195,199,185,147,101,87,116,102,137,171,137,120,88,55,120,177,165,165,163,161,166,172,175,178,181,182,185,184,193,203,193,153,115,96,101,155,178,155,117,99,82,63,167,171,168,166,164,163,165,171,175,178,181,182,184,184,189,201,188,150,146,105,126,191,165,128,107,94,73,102,181,167,168,165,164,162,165,172,177,178,182,184,186,186,190,194,182,161,151,120,121,159,149,117,103,83,65,154,176,169,169,166,163,160,167,173,177,180,183,186,185,196,107,152,186,163,149,126,100,120,116,99,84,65,127,182,172,171,168,167,169,169,167,172,176,180,182,183,188,180,55,68,154,160,148,108,82,82,86,86,66,124,183,174,178,180,180,173,146,102,171,177,181,183,186,187,200,126,54,56,64,104,112,74,72,69,74,59,54,180,186,183,162,131,117,87,50,35,129,130,133,135,135,135,134,76,60,57,49,46,53,72,71,55,51,32,1,72,111,81,46,27,22,21,27,33,99,100,101,101,99,101,81,61,67,51,51,46,44,32,25,25,20,16,9,20,27,19,22,24,30,29,20,25
2,168,169,171,172,172,172,172,171,171,171,169,170,169,168,168,167,165,165,164,165,164,164,160,162,146,49,39,52,170,171,172,173,173,172,173,173,172,173,172,171,171,169,169,168,168,167,166,164,165,164,161,167,130,38,45,61,171,172,173,175,174,173,174,175,174,174,174,174,170,169,170,168,161,167,168,169,166,164,165,167,145,60,51,58,173,174,175,175,176,176,175,175,175,175,174,172,173,176,177,146,88,107,140,104,165,169,165,163,168,86,56,59,173,175,177,177,178,177,178,177,176,175,177,186,182,164,124,92,62,54,83,54,123,173,166,164,171,101,45,44,174,176,179,179,178,179,179,180,177,183,194,192,139,85,67,56,48,50,55,57,47,135,176,164,173,133,38,23,175,177,179,180,180,180,181,181,178,190,191,150,88,40,45,48,36,40,46,51,35,127,179,168,168,170,54,7,177,179,180,181,182,182,182,181,183,209,151,75,57,39,33,43,46,41,52,69,116,172,170,171,169,173,109,66,178,180,181,180,182,184,184,178,195,205,119,56,53,52,43,47,40,109,162,172,180,172,173,172,170,173,130,116,180,180,182,183,184,186,185,179,211,186,109,62,51,54,43,59,130,180,180,175,172,174,175,174,169,180,84,115,181,181,182,185,186,186,183,190,210,159,88,45,44,45,42,110,195,176,178,177,175,176,175,173,172,178,94,147,182,182,184,186,187,187,182,204,203,147,95,60,58,44,39,120,191,179,180,179,178,177,174,174,174,176,141,126,184,186,186,187,188,187,189,218,195,136,89,69,65,60,39,149,189,181,181,180,178,178,177,175,175,175,173,139,186,188,188,189,189,186,202,221,177,121,79,64,62,62,62,173,187,182,182,181,179,179,178,177,176,176,172,162,186,187,188,189,189,184,217,213,163,111,70,61,60,61,64,176,187,183,183,181,180,180,179,178,177,176,175,166,188,188,188,191,188,189,227,206,155,103,70,62,64,63,72,182,186,184,184,182,181,181,180,179,179,177,174,172,187,188,190,192,185,205,226,190,144,96,68,63,66,56,72,193,186,185,186,185,181,181,183,183,181,180,181,175,187,189,193,192,187,225,218,176,132,88,63,61,56,56,45,136,198,183,185,186,188,183,166,151,138,129,135,173,190,192,192,186,198,228,205,162,119,83,64,53,51,56,59,59,186,197,191,183,156,135,134,131,127,115,68,125,192,193,194,184,213,222,191,148,111,81,62,43,48,55,62,48,103,165,153,131,129,133,142,128,100,101,102,147,191,195,188,191,224,214,184,140,103,78,56,38,55,63,64,69,58,76,110,134,148,138,106,76,113,170,182,180,191,192,180,216,225,207,173,137,98,70,49,44,70,76,85,85,85,92,118,135,118,87,64,127,188,182,178,178,193,180,202,227,218,200,167,130,90,70,47,56,80,86,96,93,91,97,103,87,84,123,162,187,180,179,178,176,181,193,227,216,205,189,161,121,84,69,50,69,84,89,94,91,83,69,68,118,173,191,188,182,181,180,178,177,185,213,215,210,199,181,150,106,78,69,58,82,91,93,86,77,56,75,152,193,191,185,185,186,182,180,179,178,209,205,204,198,181,157,129,90,75,63,65,82,88,88,66,57,133,187,194,187,187,186,186,186,183,181,179,178,204,201,191,172,149,133,100,75,64,62,71,74,79,60,56,150,200,190,187,189,187,187,186,185,183,181,181,180,205,196,175,149,129,119,82,62,60,66,64,63,59,81,168,199,187,189,189,189,188,187,187,186,184,182,181,181
16,54,54,55,56,57,69,82,94,104,113,121,128,131,132,135,141,145,151,155,159,163,166,168,172,174,176,179,182,53,53,55,55,57,70,83,94,104,112,122,128,130,132,134,139,145,151,156,160,163,166,169,173,175,176,180,182,52,52,54,54,56,70,83,94,102,112,121,127,130,128,134,138,141,149,154,159,161,165,167,172,175,177,180,181,51,51,55,54,56,71,81,94,104,114,122,127,128,130,129,140,147,148,152,158,161,165,166,171,175,176,180,182,51,51,54,54,58,71,82,93,103,109,117,120,147,152,119,102,127,154,160,156,159,164,169,172,175,177,180,183,51,51,52,52,57,70,82,94,98,121,131,150,172,149,121,94,69,83,128,162,167,166,168,171,176,178,181,182,50,50,52,50,55,67,83,83,120,183,168,170,156,124,104,100,79,56,46,84,139,162,173,176,175,176,180,181,50,51,51,51,54,69,78,87,178,177,154,143,134,114,95,78,76,68,52,45,52,79,111,143,172,183,179,181,48,49,51,49,54,65,77,172,179,139,130,123,110,99,77,65,69,75,59,57,51,45,46,56,91,147,181,187,47,48,51,48,55,50,126,184,136,123,113,98,83,71,63,63,56,83,68,64,58,51,46,44,42,56,105,165,41,40,42,41,43,107,143,131,116,108,88,72,62,54,60,47,46,78,77,86,62,55,46,43,45,45,40,65,94,88,91,83,117,166,122,109,102,81,64,57,45,49,54,22,49,81,86,89,68,60,46,43,41,45,48,41,85,89,89,87,187,166,126,94,70,61,53,40,35,49,31,6,64,83,87,91,73,64,50,48,41,42,44,45,81,86,67,123,191,151,108,71,42,39,31,25,37,30,0,5,69,79,85,102,89,77,58,51,40,40,43,41,91,86,95,179,160,127,77,48,29,35,17,5,0,0,0,0,65,75,92,119,110,88,72,43,37,41,40,37,93,76,148,158,121,89,52,32,24,27,0,0,0,0,0,0,51,76,99,130,98,93,81,37,36,38,37,35,82,110,171,127,81,50,35,27,29,27,7,0,0,0,0,0,24,68,122,119,71,95,80,33,36,32,35,35,82,167,152,96,51,24,24,30,35,36,37,17,0,0,0,0,0,92,144,91,62,85,60,33,35,33,35,31,129,154,102,57,35,56,38,37,40,43,41,34,12,14,16,0,30,150,118,69,57,57,37,32,32,33,30,28,161,99,58,22,64,86,55,65,54,51,45,35,29,29,24,7,121,141,94,57,43,34,28,33,31,28,31,36,112,61,23,47,82,61,61,61,57,51,45,36,28,26,5,58,163,121,74,41,31,25,26,28,24,30,38,38,65,30,49,88,89,82,80,62,49,41,46,31,30,44,50,130,165,124,52,29,25,28,30,28,29,36,34,34,70,70,87,88,91,91,89,89,80,74,81,76,80,91,84,165,168,130,47,11,20,34,32,30,32,33,35,36,92,90,88,88,90,90,90,91,91,93,91,93,92,91,86,167,173,135,62,19,69,50,44,39,37,39,38,39,88,86,87,88,90,89,89,90,89,89,91,91,91,93,81,139,157,120,52,73,121,62,55,55,53,51,42,39,88,88,86,88,90,89,88,89,90,91,90,91,92,95,86,101,128,84,48,81,131,108,68,60,65,66,56,43,89,88,87,87,90,89,88,88,89,89,88,89,92,92,90,90,97,68,65,83,108,147,106,89,84,83,72,59,87,88,88,88,89,90,89,89,89,89,90,90,93,92,92,92,92,91,92,87,89,160,133,114,104,94,83,70
11,113,119,125,132,136,141,145,150,152,154,156,157,159,162,162,162,162,162,162,162,162,161,160,161,125,102,141,186,116,121,127,134,138,143,146,150,153,156,157,158,177,147,161,162,162,162,161,162,161,159,158,161,132,119,143,190,120,125,132,138,142,146,150,154,157,159,161,159,196,127,144,166,163,163,163,162,161,160,158,156,146,184,181,187,124,129,137,143,148,153,157,161,163,164,165,165,210,134,120,171,166,165,165,164,163,162,160,155,174,157,185,187,129,134,142,148,154,159,163,167,169,171,172,172,213,131,109,175,171,170,170,169,168,166,165,163,168,136,192,188,133,139,149,156,160,164,169,173,176,178,179,180,213,123,115,182,177,178,176,175,173,172,170,166,170,185,181,187,137,143,154,163,167,171,175,179,183,185,185,192,220,119,123,190,184,183,182,182,180,177,175,172,171,158,144,187,139,148,159,168,173,178,183,186,189,191,190,212,222,98,141,196,190,188,188,187,186,183,181,178,176,168,166,185,143,152,166,173,178,183,189,193,195,197,196,221,202,96,161,202,196,195,195,193,191,189,186,184,182,178,182,193,146,156,170,178,183,188,193,198,200,201,214,217,124,84,171,206,201,199,199,199,197,194,192,190,187,183,186,205,150,160,174,182,188,193,198,202,204,206,202,204,128,85,181,209,206,205,205,204,202,200,197,195,191,188,188,206,154,164,178,185,191,197,202,208,228,223,120,114,147,100,188,213,210,210,209,208,207,204,202,200,196,193,195,207,157,169,181,189,195,200,206,194,213,207,127,89,140,113,172,219,213,213,214,212,210,208,206,204,202,188,173,209,159,171,184,193,197,207,230,175,106,137,161,105,116,114,147,224,217,217,217,216,215,212,211,208,211,128,98,206,162,175,187,193,209,231,218,191,143,98,145,119,92,121,115,222,221,221,220,217,211,198,181,178,172,85,66,99,164,178,189,208,233,191,149,173,185,117,97,108,84,133,109,205,228,223,215,206,210,189,165,160,136,85,69,61,166,180,191,231,217,152,109,99,174,124,80,99,75,148,149,159,211,214,220,217,205,175,145,121,100,74,66,64,168,181,194,228,196,134,98,68,142,130,85,110,67,115,157,106,171,217,220,190,148,112,72,53,63,58,61,64,170,183,193,217,175,120,92,74,107,139,95,127,89,124,150,138,182,198,167,116,83,60,49,49,51,51,53,61,172,185,194,217,194,141,108,87,88,118,113,143,123,190,165,134,155,134,89,51,57,63,47,45,48,49,57,30,171,185,195,223,201,151,122,97,95,111,155,195,199,195,150,120,114,56,47,50,43,59,59,41,39,45,46,24,171,185,195,224,208,168,136,103,110,123,198,230,216,174,128,104,63,47,34,55,43,42,58,52,35,34,35,36,172,186,196,220,208,179,141,113,122,133,206,217,186,148,115,70,23,52,41,38,52,42,45,53,45,33,34,35,174,188,201,212,204,187,148,130,129,136,188,204,167,128,103,65,18,35,55,35,44,50,39,40,48,35,33,34,142,150,157,171,203,191,156,144,131,135,168,189,159,119,79,55,31,20,52,49,36,45,46,35,39,42,27,32,114,114,112,129,201,188,163,152,132,121,155,160,132,92,36,43,47,12,37,53,43,39,42,37,31,40,30,23,118,119,117,133,206,192,169,151,130,113,133,124,97,53,21,33,56,18,21,51,47,42,38,35,27,32,33,22,119,120,120,126,203,192,162,143,127,115,121,109,52,35,29,27,55,33,10,39,50,40,38,36,31,29,25,26
16,170,171,173,174,173,173,175,175,176,175,174,176,177,176,176,175,176,176,178,179,177,176,178,178,178,178,178,175,172,172,173,174,175,175,176,178,176,176,175,178,179,176,180,182,182,181,177,179,178,178,179,180,178,178,178,176,173,173,174,176,177,175,175,177,177,179,180,180,177,177,155,150,145,164,190,183,179,179,179,178,178,179,178,177,173,174,174,176,177,177,177,177,177,175,168,161,179,192,146,121,112,85,114,174,188,181,179,179,180,180,179,178,173,174,175,177,177,179,179,179,180,174,149,154,196,195,165,146,128,93,50,60,125,182,185,178,180,180,179,179,173,175,177,178,180,177,173,159,201,193,158,173,200,185,170,158,131,77,73,51,41,78,168,188,178,181,181,180,176,177,176,178,176,191,172,164,191,186,166,177,201,169,157,148,122,60,72,60,54,44,63,166,190,181,182,181,177,178,178,179,175,203,189,166,183,181,179,170,186,154,149,136,105,58,59,52,53,57,42,55,176,186,183,183,176,176,178,178,176,185,183,164,179,189,185,175,183,158,147,127,87,54,48,44,49,54,55,31,90,196,183,184,174,176,177,179,186,175,182,182,173,187,188,178,196,174,151,116,74,48,37,41,50,53,49,47,39,170,189,184,175,176,174,188,187,173,183,197,180,180,186,180,195,178,148,103,65,40,21,41,53,56,58,48,34,150,191,180,176,177,176,180,183,182,177,191,178,181,192,188,189,176,136,86,56,14,14,41,55,62,69,53,41,171,186,182,177,177,178,178,182,194,185,192,198,149,194,198,185,178,133,71,28,0,12,34,46,69,65,52,51,179,184,184,180,179,179,177,183,193,199,165,172,163,181,197,188,180,124,60,0,0,2,21,40,81,58,45,62,184,185,185,178,177,179,178,179,178,204,153,126,180,178,187,195,177,116,52,0,0,0,8,53,91,57,41,87,191,185,186,176,177,178,178,179,169,171,202,179,157,174,189,201,171,113,44,15,0,0,13,86,95,60,40,93,192,184,186,181,182,183,184,184,183,157,173,187,169,174,192,204,167,107,43,28,35,18,39,119,119,76,35,88,192,186,186,128,133,138,142,145,152,145,145,176,152,147,176,202,163,96,41,39,43,26,58,140,147,112,38,92,197,182,187,62,64,64,63,66,69,69,72,109,83,68,152,203,163,85,41,47,51,39,73,139,157,140,71,63,153,200,217,72,71,70,67,68,68,67,65,64,72,50,143,206,167,74,76,63,54,48,80,132,156,160,120,86,188,212,228,69,71,70,69,70,71,71,72,72,76,57,125,208,169,68,137,96,72,60,60,117,145,159,140,94,178,210,218,69,69,68,72,70,71,71,70,72,75,62,96,199,167,75,166,124,91,82,56,71,132,139,123,55,140,211,184,68,68,68,70,71,71,71,71,74,76,67,82,215,159,87,191,151,116,101,79,46,71,112,82,88,160,151,181,68,68,67,68,70,70,70,71,72,74,69,77,218,116,123,206,167,136,118,94,63,43,57,38,149,197,119,154,67,69,68,69,69,69,70,73,72,72,72,74,109,112,195,199,176,148,129,106,72,49,52,28,155,223,174,133,67,69,69,70,69,67,69,72,71,71,70,73,52,147,209,199,184,155,136,116,82,50,53,32,150,227,198,180,68,69,69,71,69,66,67,70,70,70,71,72,61,132,198,196,188,163,140,121,91,55,51,31,129,230,192,166,66,66,69,74,69,67,67,69,70,70,71,73,62,130,195,194,186,162,141,124,97,62,53,35,116,227,205,145
21,100,109,122,136,144,152,157,161,164,166,168,175,176,178,180,182,184,186,187,188,188,188,189,190,190,190,190,190,102,111,125,138,146,153,159,160,166,192,135,144,183,179,182,185,186,187,188,190,191,191,191,192,191,191,192,191,103,110,127,140,149,155,160,161,173,205,124,124,187,179,185,187,188,189,188,192,192,192,193,193,194,194,193,193,105,111,128,142,150,156,161,164,174,202,135,120,185,182,186,188,190,190,190,193,196,196,195,196,195,195,196,194,107,113,130,144,151,158,163,165,173,196,140,115,181,185,187,188,191,193,194,191,163,189,199,197,197,197,196,197,108,116,132,144,154,159,163,167,174,198,153,116,178,188,188,191,193,192,198,175,115,164,206,198,199,199,199,199,109,118,135,145,155,161,165,170,174,196,160,116,169,191,190,193,195,199,194,157,118,190,204,199,200,201,201,201,111,120,136,147,155,163,168,172,171,196,162,116,153,196,191,194,195,204,183,134,141,210,200,201,202,202,202,201,111,121,138,148,155,163,168,172,172,206,170,120,145,197,191,193,200,199,167,123,184,208,203,204,204,203,202,202,112,122,141,150,156,162,168,173,173,215,178,130,146,198,192,196,199,180,143,138,209,203,206,205,205,204,204,203,113,125,141,150,158,164,168,172,173,202,166,128,139,200,193,201,198,173,117,175,211,204,206,206,206,206,206,205,113,126,142,151,159,164,174,189,156,175,144,116,134,201,192,199,196,151,131,208,206,206,207,207,207,207,207,207,114,128,144,153,160,158,198,225,156,138,119,105,130,185,184,192,181,118,174,213,206,208,208,208,208,208,208,208,116,130,145,153,161,161,191,199,152,113,99,106,138,174,181,176,137,125,209,206,207,209,209,209,209,209,208,208,116,131,146,154,157,187,208,161,145,119,88,96,125,157,162,146,107,171,214,206,208,209,209,209,210,210,210,209,117,133,146,154,161,229,203,187,162,151,103,89,116,133,146,127,120,206,208,209,209,211,211,211,211,210,210,210,118,134,148,152,181,202,195,214,203,167,118,94,107,117,131,107,157,215,206,209,210,211,211,211,211,211,211,211,120,137,149,151,197,183,190,211,209,146,109,100,99,112,113,98,186,213,209,211,211,212,211,210,212,212,211,211,121,137,147,156,209,173,156,139,166,139,116,105,100,99,104,101,189,213,209,212,212,213,214,214,213,212,211,211,122,139,147,165,204,153,141,139,152,150,125,106,99,100,101,97,186,215,210,213,213,214,215,216,215,213,213,213,123,140,145,175,209,176,172,147,148,182,133,115,107,102,98,98,191,215,212,213,214,214,215,215,215,214,214,214,125,141,144,179,206,190,168,144,209,223,148,135,118,98,97,100,198,214,212,214,215,215,215,216,216,215,215,215,126,141,144,179,219,192,157,165,233,203,157,137,122,98,94,113,208,211,213,215,215,215,215,216,216,215,215,215,127,142,146,176,213,171,162,174,216,175,147,128,122,105,90,133,216,210,213,215,216,216,216,217,217,217,216,216,129,142,149,169,198,166,176,168,204,170,156,125,114,105,87,151,218,210,213,215,216,216,217,217,218,218,217,216,130,142,149,164,182,183,192,167,205,170,156,142,108,101,90,164,220,210,214,216,217,218,218,218,218,218,218,217,128,139,150,157,182,203,176,162,204,162,140,130,105,97,94,184,213,209,214,216,215,216,217,217,217,217,217,217,128,138,149,155,176,199,176,154,179,148,123,110,100,92,100,195,210,209,212,212,213,215,216,217,217,217,217,217
24,197,199,200,201,202,202,203,204,203,203,204,203,203,202,202,201,198,197,196,195,195,192,191,190,186,185,184,183,198,201,202,203,204,205,204,205,206,206,206,204,204,203,202,203,201,200,198,197,196,194,192,191,189,187,186,185,200,202,204,205,206,206,207,208,208,208,208,207,206,204,204,204,202,202,201,198,196,196,195,193,190,189,188,187,202,203,206,210,207,209,209,210,210,211,210,209,208,207,207,205,204,203,201,200,198,198,198,195,193,191,191,189,201,209,201,180,211,211,211,212,211,212,212,212,211,210,210,209,206,205,204,203,202,200,198,197,196,195,191,190,201,215,189,131,178,218,212,215,214,214,214,214,214,212,211,211,209,208,205,205,204,202,200,199,198,196,194,192,205,210,182,142,129,212,214,216,216,216,215,215,215,214,213,211,211,209,208,206,205,205,203,201,199,197,196,194,206,212,204,160,115,178,224,215,217,217,219,221,215,215,215,212,211,213,213,208,208,205,204,202,199,199,199,200,208,211,215,183,126,134,221,218,218,219,203,204,222,218,217,219,217,202,198,215,209,207,206,204,203,197,175,162,210,211,215,206,162,119,180,228,219,207,167,136,195,206,165,164,201,175,135,175,217,207,206,207,197,177,143,139,210,212,215,219,188,132,124,220,220,194,184,158,135,168,146,112,139,172,132,108,203,213,209,199,185,158,127,192,211,213,215,220,205,150,121,178,229,187,200,179,140,133,152,121,143,173,136,104,195,218,200,175,173,126,146,208,212,214,216,219,219,191,154,138,209,173,190,192,155,118,149,132,151,176,135,114,209,217,162,154,156,107,179,209,213,216,218,219,222,217,166,139,168,169,160,196,164,131,123,122,146,174,127,134,228,193,140,158,136,125,207,203,215,217,219,221,222,224,190,181,168,157,141,172,174,135,107,103,116,138,110,119,220,152,142,160,116,179,214,203,215,218,221,222,224,225,221,201,169,137,121,123,173,152,131,95,87,106,97,92,134,134,152,140,124,212,207,206,217,220,222,223,225,225,227,201,152,136,128,117,152,182,168,110,71,106,116,136,142,148,155,118,160,219,206,205,217,219,223,225,225,227,228,206,182,164,131,121,145,179,156,116,101,129,160,165,162,145,137,109,197,216,210,208,217,220,223,224,225,229,227,220,201,169,132,125,141,170,155,162,156,154,167,163,157,137,101,136,220,211,212,210,219,222,224,224,227,231,228,217,211,182,154,134,122,163,198,194,189,176,170,160,149,118,105,207,216,212,212,211,219,221,225,226,228,230,231,215,211,190,165,136,127,157,204,202,197,182,167,154,140,94,175,226,213,214,212,211,219,223,225,225,229,230,233,216,200,186,173,143,139,165,198,194,185,173,158,146,113,128,225,216,217,215,212,211,221,223,225,227,229,230,233,221,193,191,180,155,144,167,186,184,181,162,143,127,98,200,223,218,218,217,214,212,222,224,225,227,230,231,231,233,208,190,180,162,137,153,174,173,169,147,131,94,164,229,218,219,217,216,214,213,221,225,225,227,231,231,230,234,225,201,181,159,132,139,158,156,148,130,97,147,231,222,221,219,218,216,215,213,220,224,226,228,232,232,231,234,229,200,176,151,140,141,152,148,133,103,117,233,225,223,222,220,218,218,215,213,221,224,227,229,231,231,233,232,227,204,180,167,161,155,155,149,122,90,187,235,224,224,222,221,219,217,215,212,219,223,226,227,228,231,233,226,222,213,197,177,158,162,158,139,107,113,226,226,225,223,222,220,219,217,215,212
14,188,189,189,191,191,191,191,191,191,191,190,189,189,188,185,185,183,182,181,180,177,176,175,173,172,169,167,165,190,190,191,192,193,194,194,194,194,193,194,191,191,190,188,187,187,184,182,183,182,179,177,175,175,173,172,170,192,194,193,195,196,197,198,197,196,195,195,194,193,191,190,189,188,186,184,184,182,181,180,179,176,173,173,171,193,195,196,198,198,199,198,198,199,198,197,196,197,193,190,189,189,188,187,185,184,183,181,181,179,174,174,173,196,196,197,199,199,200,201,200,201,203,202,195,185,197,199,199,192,190,189,188,186,184,182,182,180,179,176,174,198,199,200,201,201,203,205,204,200,184,173,163,110,126,135,167,190,196,195,189,188,187,184,182,183,180,177,175,200,200,201,204,203,205,205,198,173,149,122,93,62,72,97,104,132,148,175,194,191,189,187,185,185,182,180,177,201,202,203,204,204,205,206,193,157,109,73,62,65,59,79,95,109,88,127,208,190,190,188,186,184,184,182,179,201,203,205,206,206,200,194,169,119,54,47,51,52,48,53,57,78,60,81,175,196,190,190,189,185,184,183,181,202,205,207,208,207,189,173,134,75,53,44,44,50,50,53,52,61,73,73,82,190,194,192,190,189,187,183,182,204,206,207,208,206,182,155,86,54,59,51,50,51,45,48,51,52,72,64,98,206,194,193,191,189,187,185,183,208,207,208,208,208,190,159,80,52,50,50,57,49,74,177,159,166,85,65,76,163,203,194,192,190,189,187,185,207,210,211,210,210,191,160,93,49,45,47,57,43,154,225,213,219,189,119,81,91,126,182,196,190,189,188,185,209,210,210,211,209,192,158,88,57,60,50,37,123,219,207,208,205,213,189,107,112,87,153,204,190,191,190,189,210,210,210,213,209,197,163,97,71,67,57,63,208,214,213,210,210,206,132,113,112,86,173,202,193,192,191,190,210,211,212,215,210,200,174,119,84,64,51,80,216,212,213,211,216,169,107,113,95,98,204,198,196,193,191,190,211,214,215,214,206,198,180,125,92,65,43,112,234,213,212,216,202,111,98,107,73,142,211,197,198,196,194,191,212,214,216,214,202,201,178,133,98,66,48,77,184,214,222,217,147,101,90,92,59,185,205,200,198,196,194,191,211,214,216,213,203,198,177,136,96,66,62,58,70,98,177,154,100,111,101,59,133,212,200,201,200,198,195,192,212,214,216,212,202,205,180,134,104,72,61,67,76,79,84,82,93,103,75,111,214,204,202,200,199,199,196,193,213,214,218,210,202,211,179,133,104,75,58,67,77,86,91,84,88,90,87,206,209,205,204,201,199,198,196,195,214,215,219,206,204,208,172,128,107,78,58,68,78,82,91,92,80,62,174,219,207,206,204,202,200,198,197,195,215,216,219,205,205,202,168,127,112,83,59,67,81,86,89,91,62,113,220,208,208,208,206,204,201,199,198,195,214,216,218,203,207,193,161,131,114,84,59,71,86,92,92,73,81,215,213,210,209,208,206,206,203,200,198,196,216,216,218,202,201,180,154,125,109,82,57,71,87,87,84,48,146,229,210,214,211,208,207,206,204,201,198,196,216,217,218,202,193,177,151,123,105,82,59,69,82,83,62,77,218,215,214,214,213,209,208,206,203,203,199,196,216,219,216,203,186,175,145,116,97,78,60,67,76,70,50,183,226,215,215,214,213,210,208,207,204,203,201,198,216,217,216,202,179,169,140,113,89,72,58,63,63,48,156,231,216,218,216,214,212,210,209,207,205,202,200,198
24,158,160,163,163,164,165,166,166,167,167,166,167,166,165,165,163,162,162,161,161,160,158,157,156,155,154,152,152,159,162,164,164,165,166,167,168,168,168,168,168,167,166,166,166,164,164,164,164,162,160,160,159,158,156,155,154,160,163,165,166,167,168,169,170,171,170,170,171,171,170,168,167,166,167,165,164,164,162,161,161,160,159,157,156,162,163,166,167,169,169,170,171,172,170,171,171,171,171,170,169,169,167,165,166,165,164,164,163,161,160,159,158,163,164,167,168,168,167,170,173,173,172,172,172,172,172,171,169,169,167,167,167,166,165,165,164,163,161,160,159,165,165,168,168,178,154,132,176,173,174,174,173,173,173,172,171,171,169,168,168,168,167,166,164,164,163,162,161,166,167,170,168,186,134,115,177,174,174,174,175,174,174,173,172,171,171,169,169,169,168,167,166,165,164,163,162,166,168,170,171,183,115,127,178,175,175,176,176,177,175,173,172,172,171,171,170,170,169,168,167,166,165,164,163,168,169,171,176,180,112,137,180,177,177,176,174,171,175,176,174,173,173,172,172,171,171,169,167,166,167,165,165,170,170,173,180,178,112,143,184,179,176,181,179,151,124,171,177,174,174,173,173,174,172,172,170,167,167,167,166,171,172,173,182,169,128,147,157,180,146,145,181,164,121,105,172,177,175,175,173,163,150,142,162,171,169,168,167,171,174,175,184,181,184,177,153,194,150,108,173,175,128,74,124,181,177,171,153,117,100,92,119,175,172,170,167,171,175,176,185,184,204,182,172,194,162,103,165,166,120,69,88,175,174,166,126,90,92,116,145,172,171,170,168,174,176,177,186,181,210,187,186,200,158,90,124,132,99,55,68,156,172,148,105,89,154,175,174,172,172,171,170,175,179,177,190,206,207,179,186,205,147,91,46,93,124,101,111,151,151,116,92,141,182,176,176,174,173,172,171,175,179,179,196,201,189,159,145,171,120,80,76,159,175,163,152,148,122,90,114,179,179,179,177,176,175,173,172,176,178,183,193,172,171,146,110,106,110,151,192,191,176,160,142,130,113,92,166,181,179,180,178,178,176,174,173,177,178,188,206,181,166,151,136,106,193,210,201,190,171,145,127,112,103,130,185,181,181,179,178,179,176,175,174,178,177,195,212,190,168,151,163,200,218,204,196,183,158,132,112,107,103,174,186,182,181,180,179,179,177,175,176,178,179,204,216,196,182,183,208,221,214,204,190,170,144,115,107,94,130,189,185,185,182,181,180,180,178,177,177,179,179,209,217,201,191,205,220,220,207,200,177,152,125,109,101,103,178,187,186,185,183,182,181,180,181,179,178,181,180,208,223,205,193,210,217,205,186,179,158,131,113,102,101,167,191,188,187,186,185,184,183,181,181,180,178,180,180,203,225,207,191,200,203,194,170,157,138,116,104,104,167,193,189,189,187,187,186,184,184,182,181,180,179,182,183,195,209,195,190,203,205,194,171,155,129,104,87,158,195,193,191,189,188,188,187,186,185,183,183,181,180,182,184,188,195,189,196,202,194,190,164,143,116,81,110,193,194,193,191,191,189,189,188,187,185,184,184,181,180,182,185,187,201,209,200,197,184,185,159,134,103,73,154,197,195,194,193,193,191,189,188,187,187,185,183,183,182,182,184,187,212,211,188,195,183,172,153,130,94,82,181,197,195,194,194,194,191,190,189,188,187,186,186,184,181,180,183,185,219,210,179,199,178,163,152,125,96,85,184,196,194,193,194,192,191,189,188,188,187,186,185,183,182
17,147,149,151,153,156,156,157,158,159,159,161,161,163,164,166,166,166,168,168,167,169,170,170,169,170,171,171,171,148,150,152,154,155,156,157,159,161,161,162,163,164,165,167,168,169,170,170,170,170,171,170,170,172,171,172,171,148,150,153,155,156,157,158,159,162,162,164,165,165,166,168,169,170,171,172,172,170,174,172,172,172,172,173,173,148,150,153,156,158,158,159,161,162,163,164,167,168,168,169,171,171,164,144,156,133,150,176,174,174,173,173,173,150,151,153,156,158,159,161,162,164,165,166,167,168,170,171,172,174,175,138,103,102,123,179,175,175,174,174,174,150,152,155,157,159,161,162,163,165,167,168,169,169,170,172,172,172,191,154,103,80,131,179,175,176,176,175,174,151,154,156,158,159,162,163,164,166,167,167,169,170,171,172,173,172,191,165,121,73,143,181,177,177,177,175,175,151,154,156,158,161,163,164,165,165,167,169,171,172,174,173,174,173,192,177,136,87,163,179,177,177,177,176,175,153,156,157,159,160,163,164,166,167,167,169,172,161,153,176,176,174,195,177,140,105,175,179,178,177,178,178,176,154,156,158,160,162,164,165,167,169,169,170,175,164,126,140,177,180,198,172,138,108,176,180,179,179,179,179,178,154,157,159,160,162,163,166,167,167,166,166,181,169,148,126,145,164,189,173,138,107,175,180,180,180,180,180,179,156,158,158,161,163,165,165,171,179,153,125,160,183,179,177,143,102,139,161,140,108,174,181,181,181,181,179,179,155,157,159,163,165,166,164,183,186,152,118,156,163,185,190,165,117,96,135,129,105,170,182,181,182,181,179,180,155,158,161,164,165,166,168,182,157,168,145,140,127,131,193,184,144,93,106,113,97,167,184,183,182,180,180,181,156,159,161,164,165,166,169,187,146,133,129,94,86,77,187,197,164,107,89,96,91,164,185,183,183,182,182,181,157,159,162,163,166,167,176,177,139,121,127,103,97,98,168,209,177,128,88,95,88,157,186,182,183,183,183,182,157,159,162,165,167,166,181,182,163,145,137,117,124,131,152,214,179,141,97,92,90,149,187,183,183,184,184,183,157,159,162,165,167,166,190,175,148,140,134,126,143,152,181,197,177,150,106,86,84,150,188,185,185,184,184,183,158,159,162,165,169,171,191,161,141,133,131,140,144,188,212,181,164,148,105,81,77,149,188,185,186,184,184,184,158,160,163,166,168,175,196,166,149,135,134,143,163,213,205,182,156,138,103,79,77,158,187,184,185,184,184,184,158,161,165,167,167,180,199,170,155,137,136,148,192,210,194,177,149,132,99,82,81,175,185,184,185,185,184,184,159,163,165,167,166,185,200,174,162,146,136,164,210,205,190,171,139,127,95,79,103,188,185,184,185,186,185,183,160,162,167,168,165,191,202,177,169,160,140,174,212,196,186,171,135,116,93,75,142,190,186,186,185,184,184,183,161,164,167,169,166,192,207,181,177,172,152,173,204,187,179,167,136,106,89,85,176,187,186,186,185,185,185,184,161,165,167,168,167,186,209,187,181,175,163,164,196,181,179,160,133,103,82,118,192,185,186,185,185,185,185,185,160,164,166,169,168,178,208,193,179,169,167,164,184,175,179,167,129,100,78,137,192,185,185,185,185,186,186,185,161,164,166,168,171,174,205,189,177,165,163,168,176,167,180,169,129,99,80,158,191,186,186,186,186,186,186,186,161,164,167,169,171,175,203,183,176,164,160,166,174,164,179,161,123,98,94,182,188,187,187,187,187,186,186,186
1,195,195,197,196,197,198,199,197,199,198,197,198,197,197,196,193,193,195,192,188,187,186,185,184,183,181,178,176,201,200,200,201,201,202,202,202,203,203,201,201,201,200,199,200,196,182,194,193,192,191,191,187,186,184,181,179,206,205,205,205,206,206,206,207,208,206,205,206,205,204,200,192,210,138,170,211,194,195,193,191,191,186,185,184,211,210,209,209,210,210,210,210,211,210,210,211,209,208,215,146,188,147,126,180,201,199,196,194,193,191,188,188,214,212,212,213,214,215,215,214,214,214,215,215,213,213,217,129,182,140,77,109,177,207,199,198,196,194,192,189,216,216,217,216,216,217,217,218,217,217,218,219,219,222,203,118,194,118,107,138,142,216,200,201,201,198,195,193,219,220,220,220,220,220,222,222,219,218,221,215,182,221,189,124,211,120,133,151,125,218,203,204,203,201,199,195,225,224,224,224,225,225,226,225,225,224,223,216,134,197,187,143,205,106,146,161,127,220,208,208,206,203,202,199,226,227,226,227,229,226,226,226,227,226,226,211,125,200,154,164,189,101,176,169,128,221,211,211,208,207,206,203,230,230,230,229,230,230,229,228,229,228,234,196,125,206,137,184,189,118,203,155,127,225,212,213,212,209,208,205,232,232,233,232,234,234,233,233,233,232,235,184,120,219,141,186,195,117,198,152,133,229,214,215,215,213,211,208,234,234,235,235,234,236,236,235,234,235,238,160,123,226,126,170,177,99,202,163,144,232,219,218,217,216,213,210,237,236,236,236,236,237,237,237,237,236,239,158,125,210,99,166,160,99,212,152,142,235,221,220,220,217,216,212,239,238,239,239,238,240,240,239,239,241,231,142,133,192,149,185,185,133,156,135,147,238,224,224,221,218,216,215,240,241,242,241,241,241,242,241,241,241,213,176,180,150,165,168,170,165,140,120,120,230,227,226,225,223,220,218,242,242,243,243,242,243,243,243,242,239,223,190,149,131,138,162,178,151,141,160,109,203,237,227,227,224,221,219,244,244,245,245,244,244,244,245,243,243,219,161,122,131,138,178,184,156,201,200,122,167,245,227,227,225,223,221,244,244,245,245,245,245,247,248,244,237,215,156,118,143,151,187,198,212,168,201,166,138,242,231,231,228,227,224,245,246,247,248,248,248,248,249,246,230,223,173,113,130,170,196,206,223,187,180,165,107,228,235,232,230,228,226,248,248,249,250,249,250,249,251,244,225,229,188,131,118,170,200,209,207,188,166,120,86,230,237,234,232,229,226,250,250,250,250,250,251,251,253,247,219,226,192,147,117,161,219,226,221,181,147,94,125,251,235,236,234,231,229,250,251,251,251,252,252,252,254,250,215,209,191,155,130,174,234,223,208,165,130,77,197,250,235,236,234,233,230,250,251,251,252,252,252,252,253,253,224,210,192,166,145,189,228,212,186,147,103,101,247,241,239,236,236,235,231,248,249,251,250,251,251,252,252,255,233,206,202,183,149,188,215,198,163,126,72,164,255,239,239,237,236,235,232,248,249,251,251,251,252,252,252,255,241,207,206,186,156,175,187,164,133,87,83,238,244,241,239,236,234,232,229,250,250,251,251,252,253,253,251,255,240,213,207,184,161,163,168,135,99,63,199,252,241,242,239,236,235,232,229,249,250,251,252,252,252,252,253,255,226,220,207,198,178,154,146,109,64,186,255,242,244,242,241,239,238,241,229,249,250,251,253,252,252,253,255,247,210,227,213,208,175,148,120,71,113,255,245,247,244,242,241,240,222,187,125
13,190,192,193,194,194,196,196,196,195,195,195,196,196,195,194,193,193,192,191,190,189,188,187,186,185,185,184,183,192,193,194,195,196,197,199,199,198,197,197,197,197,196,196,194,193,193,192,193,191,190,188,187,186,185,185,185,194,195,197,196,199,200,199,201,201,199,198,198,198,197,198,196,195,194,194,195,193,192,191,189,188,188,187,186,195,197,199,199,200,201,200,201,200,200,201,199,198,199,200,198,198,200,198,195,194,192,192,192,191,190,188,188,196,198,199,200,201,202,202,202,201,200,202,201,201,201,199,198,182,171,196,197,194,202,195,193,193,193,192,189,198,201,202,202,203,203,205,204,204,207,205,204,199,200,204,197,155,99,117,193,160,152,193,197,193,194,194,191,200,201,203,203,205,207,205,210,195,172,204,210,173,147,196,185,149,105,76,146,142,89,122,202,195,194,194,192,201,202,205,207,207,206,211,221,197,129,144,203,169,121,175,193,144,116,75,131,136,110,80,172,203,194,194,194,203,205,208,208,209,205,237,227,197,141,141,197,160,128,193,221,158,116,87,162,148,120,67,161,207,195,196,195,205,207,208,208,209,209,245,231,201,142,153,203,155,122,224,226,152,105,125,198,145,103,71,175,205,198,197,196,206,208,210,210,207,232,243,216,204,135,147,198,161,107,164,194,122,95,108,138,104,75,81,194,203,200,200,199,207,209,211,209,220,242,215,187,159,106,143,193,152,110,60,92,122,115,104,103,109,78,112,211,201,202,202,200,209,210,211,208,237,240,200,153,118,87,136,157,131,86,38,54,102,99,123,146,147,113,128,215,202,204,203,201,210,211,212,212,252,249,225,180,143,82,115,129,105,104,133,173,178,169,172,156,166,145,104,198,208,205,204,203,210,213,212,223,255,244,227,213,184,123,120,163,181,214,220,211,202,191,182,144,132,128,94,166,217,206,207,205,213,215,212,229,255,243,231,218,187,172,177,212,226,218,210,202,195,180,167,146,122,126,99,139,220,207,208,206,215,216,212,233,254,243,232,218,194,193,205,218,227,214,208,202,193,176,157,146,129,121,98,119,220,208,208,207,215,215,213,234,252,241,232,215,198,195,205,215,228,216,208,202,183,162,150,137,118,113,78,147,220,208,208,208,216,216,213,228,249,239,227,207,188,186,199,208,213,210,204,189,167,153,139,121,108,75,117,217,210,211,210,209,214,220,228,226,235,229,208,186,178,193,200,202,195,198,193,175,161,142,121,105,74,83,206,217,213,212,211,210,224,197,148,212,226,213,201,193,187,199,205,195,184,177,170,152,133,114,95,67,90,196,220,213,214,213,212,210,224,140,65,118,231,226,222,218,197,186,200,186,161,146,149,129,109,81,87,145,212,221,216,216,214,214,213,211,169,97,105,84,132,219,227,218,196,173,183,168,138,128,126,100,70,118,207,229,219,216,219,216,216,215,214,213,114,94,95,97,81,113,170,168,164,161,176,149,124,114,95,70,156,227,224,217,220,220,218,218,217,216,215,214,104,95,89,90,98,50,59,77,77,80,96,97,93,86,64,164,239,222,220,222,221,221,218,219,218,217,215,214,97,89,88,85,96,74,35,67,66,58,52,51,51,54,52,181,226,225,223,223,222,220,219,220,220,217,217,215,93,90,85,81,91,83,28,52,62,54,54,51,49,44,23,67,228,223,222,223,222,220,219,220,219,217,216,214,92,87,85,74,86,78,25,43,55,51,52,47,48,41,20,161,234,220,223,222,221,220,219,218,217,216,214,214
19,155,156,158,158,157,157,157,157,156,156,156,156,156,155,154,155,153,153,152,152,151,151,150,149,149,148,147,146,157,157,158,157,158,158,158,158,157,158,157,156,156,156,155,155,155,154,152,152,151,151,151,149,150,149,147,146,158,158,157,159,160,160,159,162,161,157,158,158,158,156,156,155,156,155,154,153,153,152,152,151,150,148,147,147,158,159,161,161,160,161,154,143,148,163,157,159,159,156,157,156,156,155,155,153,153,153,152,151,150,149,148,147,160,160,161,162,157,174,168,144,115,142,164,159,160,158,158,157,156,156,155,154,154,154,153,152,150,150,149,148,161,161,161,162,159,167,188,165,132,97,153,163,159,159,157,158,157,157,156,155,154,154,154,152,151,151,150,148,162,162,162,163,162,161,185,174,144,93,113,169,160,159,158,158,158,157,156,155,155,155,155,153,152,151,150,149,163,163,163,163,163,158,179,172,137,99,88,161,161,160,160,158,158,158,155,155,155,155,155,154,153,152,150,149,165,164,164,165,162,178,176,157,136,100,84,157,166,164,162,160,159,160,157,156,157,156,155,155,154,153,151,150,164,165,166,162,185,199,175,154,154,146,131,148,150,155,162,163,162,160,159,157,156,156,155,155,155,154,152,151,166,167,163,173,193,166,139,134,149,172,177,165,152,142,136,147,157,161,161,158,157,157,157,156,155,154,152,151,167,167,165,195,189,170,131,101,111,149,174,180,178,171,150,142,136,146,151,159,160,159,157,157,156,154,154,152,168,164,185,200,183,169,154,130,110,118,139,154,165,171,169,168,164,162,143,132,142,154,162,158,155,155,154,152,168,168,193,183,162,152,147,148,152,142,132,128,126,134,147,159,169,178,171,148,133,117,135,157,158,155,154,152,165,183,201,180,148,130,131,122,152,165,155,144,127,103,104,133,136,149,156,157,151,132,123,138,148,157,155,154,170,202,205,179,156,144,141,138,134,149,164,161,146,119,106,137,163,152,144,138,138,140,145,138,125,160,155,155,183,204,193,172,157,156,159,160,155,123,118,145,145,134,125,107,162,168,166,162,154,146,138,135,148,159,156,155,195,199,182,159,141,150,174,168,171,133,104,124,114,126,129,117,163,166,165,165,166,165,160,160,160,156,157,155,196,199,180,148,130,111,142,167,181,157,139,123,114,104,105,149,169,166,166,164,163,162,162,161,159,157,156,155,203,204,171,150,141,137,129,133,123,162,166,134,129,108,144,171,166,166,166,165,164,162,161,160,160,159,157,155,205,193,168,154,149,148,147,137,124,142,149,145,118,131,173,167,166,167,167,165,164,162,162,161,161,160,158,156,198,187,173,160,157,154,146,134,126,125,117,108,138,168,170,169,169,167,167,166,165,164,163,162,161,160,159,157,195,180,167,156,151,156,150,138,125,129,115,134,175,171,170,169,169,167,167,166,165,165,164,163,162,161,159,156,190,178,164,138,122,123,128,129,126,123,132,171,172,171,171,169,167,167,166,166,166,165,163,162,161,161,159,159,179,165,144,116,101,88,127,147,138,154,174,175,175,174,174,173,170,170,170,170,170,167,163,161,163,166,166,159,163,141,117,109,100,93,150,162,158,158,155,155,154,153,153,152,153,152,154,148,144,152,165,171,171,160,156,149,136,120,110,107,103,101,101,99,97,95,95,97,96,94,93,94,95,93,89,105,138,164,166,158,153,159,161,134,117,110,107,104,106,104,101,101,98,97,98,97,96,96,94,95,94,91,131,175,169,160,152,155,143,160,181,140
21,168,171,174,177,179,181,183,184,185,186,187,188,188,188,189,187,186,187,186,185,185,184,183,184,182,180,180,179,168,171,175,179,180,182,184,185,186,187,188,189,190,191,189,189,191,188,188,187,186,185,184,184,184,182,181,181,170,173,176,179,181,184,185,185,187,189,190,191,192,190,197,165,165,195,189,189,188,187,186,185,184,184,183,182,171,174,177,180,182,185,186,186,188,191,192,193,193,192,210,150,129,197,190,190,189,188,187,186,186,185,184,183,170,174,179,181,183,186,188,188,190,192,194,193,192,195,207,150,139,198,191,191,190,188,189,190,188,186,186,186,172,175,179,183,184,186,188,190,191,193,194,195,192,201,206,147,142,199,192,192,191,169,146,189,189,188,187,187,174,178,180,183,186,187,190,192,192,193,194,196,194,205,205,148,147,201,193,193,188,156,122,187,191,189,188,187,174,178,181,185,188,190,192,193,193,194,196,197,196,207,202,149,150,202,193,193,185,149,135,196,191,191,190,188,174,177,181,185,187,190,192,193,195,197,197,198,195,210,199,148,146,204,194,192,180,137,155,200,192,192,191,189,174,178,182,186,188,191,192,193,196,197,198,199,196,214,199,146,143,204,195,190,176,132,179,198,193,193,192,191,176,180,184,188,190,191,193,194,197,198,199,200,197,221,200,140,153,206,190,185,159,135,197,196,194,193,193,192,177,181,185,187,190,192,194,196,198,198,198,197,203,218,185,131,165,205,186,185,135,151,203,196,195,194,194,193,178,182,185,187,190,193,195,197,197,204,185,159,179,200,159,120,168,202,193,174,126,182,202,196,195,195,194,194,178,183,186,189,191,193,195,198,197,206,184,143,136,132,128,114,175,199,193,151,136,202,199,198,197,196,196,194,178,183,186,189,192,194,197,198,203,200,195,179,162,127,110,130,163,177,173,129,165,208,198,199,199,197,196,196,180,184,187,190,193,195,199,198,213,217,208,220,192,153,111,123,135,148,144,123,192,205,199,200,200,199,198,198,180,184,187,191,194,197,197,206,201,199,205,217,183,139,118,114,124,130,123,141,208,202,202,202,201,200,199,198,181,185,188,192,195,197,197,213,178,169,195,173,178,147,126,116,113,123,114,167,213,202,203,203,202,201,199,199,181,184,189,192,196,199,198,216,199,173,150,127,184,168,134,120,112,116,115,184,211,204,204,204,203,201,200,201,181,185,190,194,196,198,201,216,188,152,133,115,165,183,148,127,118,116,110,184,212,204,205,204,204,203,201,201,182,186,190,194,197,197,205,218,181,168,165,138,188,197,162,146,123,119,111,183,214,204,204,205,205,204,202,201,182,186,190,195,198,196,212,220,190,184,156,173,234,199,167,158,129,122,116,188,214,206,206,206,205,204,204,203,182,187,191,195,198,197,213,221,207,176,161,221,225,188,161,156,135,125,120,192,214,208,207,206,206,205,204,204,183,188,191,196,199,198,212,232,207,170,178,227,211,184,157,147,138,126,128,202,213,209,209,208,207,206,205,205,182,187,192,195,199,198,212,224,186,182,180,225,208,188,173,140,132,125,138,211,211,209,209,209,207,206,206,205,180,186,191,193,196,197,208,208,184,202,173,222,208,181,171,144,130,124,151,214,208,209,208,208,206,204,204,204,181,186,191,194,197,198,204,201,212,208,177,219,197,171,155,139,132,124,161,215,209,210,208,208,207,205,206,204,181,186,191,195,197,199,201,204,214,196,172,207,186,160,140,132,130,121,174,216,209,211,209,208,207,205,206,204
16,165,165,165,165,166,167,168,168,168,169,168,167,168,169,169,169,169,169,169,169,170,168,169,170,170,168,169,169,166,167,167,168,168,168,168,169,170,170,168,169,169,169,169,170,170,170,170,172,172,170,171,172,171,171,171,170,167,167,168,169,170,169,169,170,171,172,170,171,171,170,171,170,171,172,173,174,173,172,173,173,173,173,173,171,167,168,169,169,170,170,170,172,172,171,173,172,173,173,172,174,177,177,174,172,172,172,174,173,174,174,174,173,168,168,169,170,172,171,171,172,172,173,175,175,174,173,171,154,153,152,171,181,173,174,174,174,174,174,173,172,168,169,169,171,172,172,172,172,173,173,170,163,159,176,188,137,115,105,91,139,182,180,173,175,174,175,175,173,168,169,170,171,173,174,174,174,174,174,167,141,152,193,188,157,136,120,83,47,88,159,184,174,175,176,175,174,168,169,171,173,174,175,173,165,156,198,183,151,172,195,177,164,151,121,75,68,42,53,126,184,174,175,176,174,170,170,171,173,175,171,185,161,162,188,179,160,176,195,160,153,142,113,59,73,57,50,39,113,185,175,177,176,171,171,172,174,175,172,201,175,167,179,178,174,167,181,146,145,129,98,55,61,51,55,54,34,116,189,174,178,173,173,173,175,173,174,183,174,160,179,185,178,171,177,150,142,119,81,53,49,44,52,54,50,30,146,187,178,171,172,173,173,176,180,172,181,174,168,188,180,175,189,166,144,110,70,48,38,40,51,50,50,35,79,189,177,170,170,172,170,186,177,170,183,190,171,180,179,177,186,170,139,96,62,36,22,43,55,54,49,40,52,178,179,170,171,172,171,179,180,176,175,187,172,181,186,184,183,169,126,79,53,12,19,43,57,61,64,40,66,185,177,172,172,173,174,173,182,187,178,190,182,147,196,192,180,170,118,67,23,0,20,38,50,69,63,43,77,189,175,172,172,174,174,174,182,189,192,160,175,152,183,191,183,173,110,53,0,0,10,27,47,77,55,42,85,187,176,172,173,173,175,176,174,176,202,127,137,178,172,185,189,166,102,44,0,0,0,17,58,85,51,37,117,190,178,173,173,174,174,175,174,161,175,198,167,159,172,189,193,159,98,38,8,0,0,25,83,85,51,38,139,190,180,174,174,175,176,175,175,166,149,178,175,165,170,192,193,153,91,36,27,30,8,51,113,99,57,34,137,189,180,163,165,167,169,172,175,179,164,165,167,154,144,183,191,148,80,37,39,40,21,77,139,132,81,31,148,190,177,79,83,87,89,93,99,102,105,107,107,78,81,171,192,147,69,43,47,48,37,90,141,148,114,43,131,185,195,64,63,64,62,60,62,61,59,59,60,63,54,167,199,148,65,69,58,52,51,98,139,155,147,74,121,203,220,69,71,72,70,68,70,70,70,70,70,76,55,152,205,142,73,125,78,67,51,82,129,149,160,104,134,205,214,67,68,68,68,68,69,70,69,70,70,74,58,124,201,136,84,161,99,84,70,51,101,142,137,96,79,206,197,67,67,67,70,70,70,70,69,71,72,76,59,112,218,124,104,184,126,103,89,65,51,102,111,71,107,170,174,67,67,66,67,68,70,70,68,71,72,75,59,109,211,84,152,192,146,121,108,80,50,48,60,62,181,126,147,66,67,66,67,68,68,68,69,71,71,71,67,82,108,134,197,187,158,135,119,90,57,47,40,55,204,168,126,65,67,66,69,68,66,67,71,71,70,70,73,66,72,189,199,192,166,142,127,102,63,48,44,58,209,201,171
4,176,178,179,180,181,181,183,183,183,182,184,184,184,185,185,185,185,184,184,185,184,184,184,184,184,184,183,182,178,180,180,181,182,183,184,184,185,185,184,185,186,186,187,185,185,187,187,186,186,186,186,186,186,186,186,185,181,181,182,183,184,185,186,186,186,186,186,184,183,186,191,179,160,164,188,189,190,187,188,188,188,188,188,188,182,182,183,185,186,187,187,187,187,187,189,173,160,169,209,188,154,119,174,189,188,191,189,190,189,188,189,190,184,185,186,187,188,188,188,189,189,193,213,190,174,150,203,198,164,126,133,163,158,165,192,192,192,190,191,192,186,187,187,189,190,190,189,188,181,185,210,210,177,150,173,205,165,131,92,153,149,121,167,195,194,194,194,194,188,189,189,192,193,191,192,199,193,181,158,195,191,157,148,207,171,130,84,156,157,120,115,194,196,196,196,196,188,190,191,192,194,191,198,211,204,186,127,130,189,149,126,202,175,126,79,156,162,122,94,186,198,198,197,198,190,192,193,193,194,193,200,195,186,173,115,101,164,143,120,165,149,106,78,161,159,116,90,185,201,200,199,199,192,194,195,196,196,195,201,195,170,170,111,86,160,152,131,132,114,80,73,154,141,95,98,193,202,200,200,200,193,194,196,197,198,196,199,200,162,165,122,89,145,164,161,148,142,115,83,122,114,85,102,200,201,203,202,201,193,194,196,197,200,199,201,213,190,158,131,92,106,170,188,187,176,154,110,85,92,82,117,205,203,204,203,203,196,196,198,199,201,201,202,214,194,158,116,79,76,138,177,189,186,156,113,75,75,77,134,209,205,204,203,205,196,197,200,201,202,200,204,211,177,139,115,93,75,74,124,168,175,151,118,87,73,75,148,210,206,205,205,205,198,200,201,201,201,200,206,205,172,139,114,95,79,76,87,114,156,157,136,100,78,71,152,209,207,207,206,205,199,200,202,202,202,201,209,212,185,150,123,106,93,88,104,103,158,180,155,118,89,71,159,211,208,208,208,206,200,201,202,203,203,203,211,211,184,141,115,106,96,88,119,156,194,200,180,140,103,76,150,213,209,208,208,208,200,202,202,203,204,204,213,210,178,144,120,107,112,103,144,196,215,206,194,154,115,88,117,212,209,210,210,210,202,202,203,204,206,206,213,207,180,146,128,120,133,117,172,215,221,203,180,145,116,93,118,213,211,211,211,211,202,202,204,205,206,207,213,205,181,151,137,137,137,133,192,218,214,197,171,133,110,88,141,215,214,213,211,211,203,204,205,206,206,206,209,203,180,156,146,143,134,140,199,217,201,177,158,120,98,84,169,215,213,213,211,211,204,205,206,206,207,208,206,200,176,154,140,153,133,142,200,212,186,158,140,108,90,92,194,215,213,213,210,211,203,205,207,207,209,209,205,197,178,156,157,169,132,142,204,202,173,144,123,98,88,116,212,215,215,215,214,213,204,206,207,207,210,210,207,193,180,164,157,170,139,142,203,182,157,131,109,92,85,153,218,216,216,215,215,215,204,205,206,206,208,210,208,199,186,168,155,164,142,144,190,166,143,115,99,90,89,186,218,217,217,216,215,216,203,203,204,205,207,207,203,210,195,170,153,147,132,131,178,154,125,107,94,88,106,205,216,216,216,216,216,216,203,204,204,205,207,201,205,216,195,168,149,130,115,121,158,133,108,99,91,85,148,215,216,216,216,216,216,216,204,205,206,207,207,198,213,210,194,177,153,121,116,131,152,109,105,93,89,105,195,216,216,216,215,215,215,215
16,86,84,81,79,80,82,82,84,85,90,103,114,124,132,140,147,150,152,156,158,163,169,173,177,181,185,188,190,85,83,81,80,80,80,82,83,83,91,103,113,123,131,139,147,152,153,154,157,162,167,173,177,180,184,187,189,85,83,80,79,80,80,81,81,82,90,101,112,122,131,139,146,152,166,153,137,154,166,172,175,180,183,186,189,84,82,80,79,79,79,81,82,81,90,101,111,121,132,142,148,177,179,154,129,109,122,156,175,179,183,185,188,85,82,79,78,79,79,80,80,81,90,102,113,119,167,180,180,182,162,137,126,110,91,89,129,172,183,187,189,84,81,79,78,79,79,79,79,80,88,100,108,139,194,180,169,162,145,128,111,103,97,84,78,99,145,170,183,83,81,80,78,78,78,78,79,79,87,98,125,183,175,156,149,140,130,115,95,98,100,90,82,79,82,96,119,83,81,79,78,78,77,78,79,79,87,104,172,171,152,142,130,114,105,95,91,90,100,99,89,85,79,78,78,81,78,77,76,77,75,77,78,78,110,151,159,143,134,120,105,95,86,88,87,71,104,99,107,91,84,78,73,79,76,75,74,76,75,75,74,94,177,160,138,126,113,96,87,80,75,81,75,63,109,106,117,99,89,78,72,79,77,74,74,74,75,75,68,159,191,160,126,100,89,82,76,68,75,71,53,69,111,109,116,103,92,78,72,134,130,128,124,119,116,112,123,195,180,143,106,79,69,65,60,64,69,49,36,79,110,109,123,111,104,85,80,114,112,111,109,108,108,109,180,180,156,116,84,64,59,56,43,44,38,24,24,78,104,111,136,130,114,96,82,111,111,111,112,109,107,140,178,151,121,89,70,58,59,47,25,18,13,13,15,68,103,118,144,132,117,107,78,114,115,114,114,113,119,180,159,119,84,71,61,58,59,45,20,9,9,11,12,46,95,128,146,114,113,110,72,115,117,116,115,111,159,176,131,89,65,59,61,65,66,64,49,18,13,14,17,24,96,150,128,95,104,99,65,116,118,119,115,132,169,136,95,67,83,70,67,70,72,71,67,43,40,40,36,47,146,145,106,85,87,75,63,115,117,117,122,170,136,94,67,79,119,92,90,85,81,76,68,59,57,54,47,122,154,124,90,75,70,62,62,117,116,111,161,149,99,67,68,107,103,87,88,90,82,78,71,62,60,52,77,170,147,103,72,64,59,59,62,117,117,114,145,112,73,71,105,114,105,105,95,81,72,73,67,61,62,65,139,178,147,83,60,56,56,61,60,114,117,116,118,107,102,109,114,116,116,114,108,99,88,95,94,93,104,107,182,182,150,80,50,54,68,64,59,114,115,116,116,115,115,115,115,115,116,116,117,116,116,116,115,116,117,113,186,186,149,90,52,81,74,66,64,112,115,115,115,115,115,115,114,116,116,116,117,117,117,117,116,117,117,112,164,169,138,85,93,133,94,83,79,111,113,114,114,115,115,114,115,115,116,116,117,117,117,117,116,117,118,115,132,143,110,82,112,144,116,94,91,111,113,113,114,114,114,114,115,115,115,115,116,117,117,117,117,117,117,116,118,120,101,98,114,135,155,121,105,111,112,112,114,114,114,114,114,114,115,115,116,116,117,117,117,117,117,116,116,117,116,116,116,116,171,149,131,111,112,113,115,114,113,114,113,114,115,115,115,116,116,116,116,117,117,116,117,116,116,118,118,111,168,169,151,112,111,113,114,113,112,114,114,114,115,114,114,115,115,115,115,116,117,116,116,117,116,118,117,110,155,180,162
13,197,198,199,199,199,199,200,200,199,199,200,201,201,201,201,202,202,202,202,201,200,200,200,200,199,198,196,197,198,199,199,199,200,200,201,200,200,201,202,201,201,201,198,196,201,203,202,202,200,200,202,201,200,199,198,198,199,200,200,200,201,201,200,200,201,201,201,204,214,216,198,166,158,180,184,196,202,203,203,203,201,201,199,199,199,200,201,200,201,201,201,201,201,201,202,218,229,229,214,169,126,106,131,140,198,203,203,202,201,201,200,200,200,200,201,201,201,201,202,202,201,200,200,194,197,218,219,180,130,90,109,101,170,205,202,203,202,202,202,202,200,200,201,202,202,202,202,204,202,175,186,186,173,190,210,191,143,96,121,130,154,207,204,204,203,203,203,203,200,201,202,203,203,203,202,218,216,167,165,183,191,199,197,193,161,98,118,127,149,207,206,204,205,204,203,203,201,201,202,203,203,203,202,226,218,186,162,137,162,189,188,161,125,85,81,129,187,207,207,205,205,205,204,204,200,202,202,203,203,209,173,160,196,207,184,126,81,141,180,162,141,119,99,117,201,208,207,206,205,205,205,204,200,201,201,199,215,215,155,115,134,211,200,151,75,66,112,143,171,180,154,113,150,209,207,206,206,205,205,203,200,200,202,215,221,199,150,124,96,188,209,163,114,60,62,88,186,208,193,153,112,172,209,205,205,205,204,203,201,200,211,220,193,187,161,142,91,142,211,178,148,85,63,68,152,217,209,173,130,117,195,206,204,205,204,203,202,204,215,194,162,178,172,153,106,84,186,200,173,122,64,94,165,210,209,176,146,111,165,209,205,205,205,205,201,208,220,202,169,168,182,158,137,87,102,195,191,160,112,130,211,207,193,165,145,111,160,211,207,207,206,206,201,208,216,202,180,156,169,174,169,128,67,118,196,191,176,155,209,198,175,142,120,100,174,210,208,206,206,206,202,206,219,216,198,173,150,165,178,156,128,79,167,193,186,194,202,185,164,133,102,99,192,210,208,207,207,206,188,191,219,225,212,189,172,162,165,163,167,121,192,215,211,210,196,177,154,125,98,118,206,211,210,209,208,207,120,123,204,228,220,200,184,178,178,162,141,154,211,226,225,206,189,172,146,116,95,130,187,189,191,190,192,193,99,93,174,227,222,209,194,185,187,183,158,154,201,225,222,203,178,158,137,109,96,103,111,113,114,116,118,121,102,98,136,218,218,215,208,196,190,186,172,147,171,215,213,196,172,145,123,103,94,100,98,95,98,109,135,157,103,103,107,191,209,211,212,209,197,186,173,156,147,195,199,182,162,135,113,99,92,109,126,145,170,190,201,197,103,104,101,141,205,206,212,214,200,186,171,156,145,164,182,167,144,127,109,93,104,165,200,207,205,201,205,200,103,103,103,103,170,208,209,207,192,179,165,152,141,142,159,159,143,122,103,86,154,223,216,203,193,181,181,189,104,103,103,99,118,200,205,190,176,167,159,148,130,125,145,161,147,114,94,94,202,222,211,195,171,151,149,162,103,103,102,102,99,175,208,182,163,162,156,144,126,114,147,169,138,103,84,135,228,218,214,195,152,125,140,152,104,104,101,103,99,146,209,189,175,173,160,142,126,114,150,166,120,95,85,189,224,213,223,206,156,112,126,149,103,104,101,103,99,132,210,199,189,186,167,148,135,116,148,156,114,90,102,215,211,206,224,222,173,116,110,139,104,105,101,102,99,129,205,206,199,192,171,157,143,112,142,150,112,84,125,220,208,202,218,229,190,125,101,121
20,132,133,134,133,134,136,136,137,137,137,137,137,136,137,136,135,133,135,132,130,131,129,127,126,124,123,121,119,135,137,138,137,138,139,140,140,140,140,140,139,139,140,138,146,135,99,140,137,133,132,131,129,128,126,124,122,140,140,141,141,142,142,142,143,143,143,144,143,143,143,141,150,145,78,110,130,139,135,134,133,131,129,127,126,143,144,145,145,145,145,146,147,147,148,147,146,146,147,145,149,147,73,59,82,133,140,138,136,134,133,131,129,146,146,147,148,148,149,150,150,151,151,150,150,151,151,148,157,143,61,90,91,105,149,140,140,138,137,134,132,150,151,151,152,152,153,154,153,154,153,153,153,154,155,151,161,139,58,114,109,81,151,142,142,140,139,137,135,153,154,154,155,155,156,157,156,157,156,157,157,157,157,153,168,145,67,118,117,75,151,147,146,144,143,141,138,156,157,157,158,158,158,158,158,159,158,159,159,159,159,155,175,133,62,124,139,79,146,152,148,147,146,144,140,159,159,159,159,161,161,161,162,161,162,161,161,162,162,164,181,116,63,141,139,73,141,157,151,150,148,147,145,161,161,162,162,163,164,165,165,165,164,163,165,165,151,148,180,124,80,156,135,66,137,159,153,153,151,149,147,164,165,166,166,166,166,167,168,167,166,166,167,168,160,138,135,126,74,136,141,76,136,161,155,155,154,152,149,166,167,167,168,168,168,169,169,169,169,169,169,167,174,179,144,108,83,122,147,88,130,165,158,157,155,154,151,168,169,169,170,171,171,172,171,172,172,171,172,170,135,146,146,141,107,87,121,80,123,169,159,158,156,154,152,170,171,172,172,172,173,173,172,173,173,173,172,176,146,71,130,157,100,53,74,65,112,173,161,160,158,156,154,172,172,172,173,174,174,174,173,174,174,174,174,179,150,46,105,156,118,72,56,47,100,175,163,162,160,158,157,173,173,173,174,175,175,175,175,176,175,175,175,171,146,91,79,117,137,99,88,51,81,177,165,164,163,160,159,174,175,176,177,177,177,177,178,177,177,178,170,170,148,120,77,55,112,118,97,57,60,174,168,166,165,163,162,177,177,178,178,179,178,178,179,178,179,174,170,151,150,144,111,73,82,110,109,71,50,164,172,167,166,165,163,178,179,179,180,180,180,179,180,180,180,170,160,115,98,135,127,79,65,93,135,104,47,127,181,168,167,166,164,180,180,180,181,181,180,181,182,183,181,170,164,131,63,72,121,66,48,78,136,132,71,68,176,171,169,168,166,181,182,182,183,183,182,183,183,183,183,171,156,132,100,54,84,71,51,114,160,145,92,47,163,175,171,170,167,183,183,184,184,184,185,185,185,184,186,169,163,160,106,66,85,98,93,166,163,135,74,58,173,174,172,171,167,184,184,185,185,185,185,185,186,186,189,168,164,163,114,86,86,152,177,176,140,120,52,87,186,171,172,172,169,183,184,185,185,186,186,186,187,187,189,169,158,153,126,91,84,164,178,157,122,102,47,123,187,172,173,172,171,183,184,184,185,185,185,185,186,187,190,171,148,144,126,95,85,153,161,141,109,81,46,154,181,172,173,171,169,184,184,185,186,186,186,186,187,188,189,181,150,144,127,107,93,150,161,131,94,56,64,182,175,172,173,178,173,185,185,186,186,187,187,187,188,189,189,190,158,142,131,115,87,134,147,111,75,35,126,188,179,181,170,137,90,185,185,187,187,188,189,188,188,190,190,188,166,149,131,112,88,105,113,77,46,54,180,177,144,116,76,36,28
21,82,97,114,128,137,142,152,161,167,173,176,180,182,185,188,189,191,192,191,191,190,189,188,187,186,185,183,183,81,98,116,129,138,143,154,163,170,175,179,182,185,189,192,194,195,196,196,195,194,194,193,192,191,190,189,188,83,99,117,131,139,145,156,165,172,181,185,144,172,194,196,198,199,200,200,200,199,197,197,197,196,195,193,193,84,101,118,133,140,147,158,167,173,185,190,142,121,196,199,201,202,202,203,203,203,165,180,201,201,199,198,197,86,103,120,134,141,149,160,169,176,183,200,158,100,183,201,202,205,206,206,207,213,155,122,204,205,203,202,202,87,105,122,136,143,151,162,171,178,184,210,172,106,149,205,207,207,207,208,209,220,162,103,198,208,207,206,206,89,107,124,138,145,152,164,173,180,186,209,188,112,114,206,209,209,210,212,213,223,162,103,184,211,210,209,209,90,109,126,140,146,155,165,174,181,187,201,199,127,101,194,209,212,212,214,215,221,155,107,173,213,213,212,211,92,110,127,142,148,157,168,177,184,190,197,215,158,110,169,212,213,215,216,217,218,159,111,174,214,214,214,214,93,112,130,144,150,159,171,180,186,191,196,222,176,118,137,214,215,216,218,220,218,165,113,180,216,216,215,215,95,114,131,146,151,161,173,181,187,193,196,223,188,120,114,209,216,218,219,224,209,158,112,190,219,218,217,217,97,116,133,148,153,162,173,182,188,194,198,222,203,134,109,194,217,220,221,228,196,151,106,200,220,212,188,152,98,118,135,149,154,164,175,184,190,195,200,216,218,162,122,167,218,221,221,232,197,151,104,169,131,93,73,61,100,119,137,150,156,166,177,185,192,197,200,206,209,170,125,137,219,222,223,230,191,149,93,64,54,53,49,58,101,120,138,151,157,167,179,186,193,198,205,197,159,137,123,116,213,222,222,217,179,139,80,49,43,48,41,47,100,120,138,150,156,167,178,186,192,196,217,206,176,181,120,100,189,215,204,193,166,122,69,41,36,49,47,38,101,121,139,151,157,168,179,186,193,197,226,229,210,205,137,99,120,159,172,172,144,103,49,50,33,39,50,44,102,122,140,151,157,169,180,186,193,194,223,234,228,204,150,109,93,111,143,154,129,91,29,41,46,31,41,46,101,121,140,151,158,169,180,187,198,164,166,200,225,203,178,132,115,110,105,115,110,86,26,24,48,41,31,41,109,123,138,148,155,166,176,189,214,168,146,139,192,175,186,159,143,139,105,80,90,81,36,13,35,50,36,34,105,105,110,114,117,121,124,172,220,203,173,130,129,150,144,159,152,147,126,93,76,73,49,11,21,45,47,38,107,107,108,109,111,113,111,175,200,208,190,145,103,103,108,96,128,151,149,124,94,68,57,17,13,35,48,44,110,111,111,112,114,114,112,175,174,165,191,160,105,77,103,80,81,166,176,158,129,90,62,29,10,24,45,44,111,112,112,114,116,116,114,186,193,160,160,169,116,94,88,91,82,140,199,187,156,119,82,46,12,15,39,45,111,112,112,113,115,116,114,187,193,160,119,139,137,133,100,103,104,152,167,205,178,137,101,72,22,9,30,44,111,112,112,112,114,116,114,173,195,150,110,106,131,149,120,125,134,171,162,197,191,150,113,89,36,7,18,39,111,111,111,113,114,115,114,149,193,157,139,120,113,129,142,154,169,185,209,192,177,132,119,95,45,16,9,29,110,111,111,113,113,114,114,133,203,179,152,124,125,133,159,177,204,208,211,184,156,101,112,89,47,28,7,16
4,127,131,135,139,142,144,147,149,151,154,156,157,157,159,160,161,161,160,159,160,159,158,158,157,157,157,156,155,128,133,136,140,143,145,149,150,152,156,157,158,159,162,162,161,163,166,164,161,161,161,160,159,157,158,158,157,130,134,138,142,144,148,150,152,154,157,158,157,158,162,165,171,146,123,153,166,164,163,161,161,161,160,159,158,131,135,139,143,145,148,150,154,158,161,158,168,152,119,154,197,153,96,92,178,165,164,164,163,163,162,161,159,131,135,141,144,148,150,152,156,157,154,170,206,167,119,106,198,155,107,75,151,148,166,167,163,163,163,162,161,133,137,142,146,149,151,153,154,166,165,153,192,181,134,89,182,162,104,40,86,114,102,167,167,165,164,164,163,135,139,143,147,151,153,153,162,199,196,137,119,193,151,87,164,165,98,32,88,125,70,101,176,165,167,165,164,134,140,143,146,151,156,153,175,194,184,124,96,181,135,72,130,141,79,32,97,126,79,56,173,168,167,166,165,135,140,144,150,151,154,154,175,175,174,122,85,159,120,66,89,117,72,46,131,134,76,54,173,169,166,166,166,137,141,145,150,152,156,154,175,169,152,132,94,139,115,69,49,96,47,78,167,120,56,61,177,170,167,166,168,137,142,147,151,154,159,156,177,189,154,138,114,111,153,101,73,93,56,83,128,91,34,64,181,170,172,169,168,138,144,148,152,154,158,156,181,201,173,130,70,78,151,120,144,117,122,128,143,130,64,70,184,170,173,170,169,139,144,148,152,154,159,157,190,196,153,116,79,58,60,79,143,119,147,162,173,154,79,82,185,171,174,172,171,139,144,149,153,156,159,158,197,180,130,98,74,57,52,50,92,123,135,147,151,130,83,65,174,174,174,171,171,140,145,150,153,157,160,162,202,185,145,111,76,61,63,77,80,91,106,109,116,121,100,49,146,182,172,172,172,140,146,150,155,156,159,167,204,181,142,100,78,68,63,77,105,90,124,137,135,137,113,58,100,189,172,174,172,142,147,152,156,158,160,171,203,178,135,97,75,73,64,84,111,118,174,172,178,167,125,77,51,172,178,176,175,143,148,152,156,162,160,173,200,175,136,106,88,79,76,86,105,157,186,189,182,181,137,87,37,139,187,175,176,142,149,152,155,160,160,174,193,170,140,112,100,87,83,82,139,191,189,191,162,158,122,82,40,145,186,175,177,141,146,151,153,158,160,171,189,167,145,115,92,79,87,109,186,198,193,173,150,125,99,56,70,180,176,176,176,141,146,151,153,159,161,167,192,178,138,101,93,87,104,144,202,196,181,150,129,99,71,37,138,185,175,175,176,142,147,151,155,159,163,164,188,180,148,129,127,97,110,165,199,185,164,135,108,83,43,79,187,176,178,176,177,143,147,152,156,160,164,163,185,182,157,132,134,101,97,181,185,168,141,116,89,63,35,153,185,178,179,177,177,143,148,152,155,159,165,160,185,189,162,139,133,100,103,177,169,143,119,90,70,34,86,191,179,179,179,178,178,143,149,153,155,159,164,158,201,196,167,138,121,83,105,160,149,118,93,67,49,34,162,184,179,178,179,178,177,143,149,153,156,163,155,179,206,185,153,129,94,74,114,136,105,73,61,49,25,120,188,178,179,179,178,178,177,139,146,150,154,157,155,202,199,184,163,130,98,95,118,106,67,55,56,35,97,185,178,180,179,178,179,178,179,99,103,102,103,92,147,206,188,183,161,125,109,106,105,89,60,61,60,42,94,106,105,105,104,105,106,107,109
12,110,118,131,151,158,167,173,182,183,186,191,194,198,200,204,207,208,211,212,214,216,216,218,218,219,219,218,219,111,118,132,153,161,170,176,182,184,188,190,195,199,201,205,207,211,211,214,216,217,218,219,219,220,220,220,221,112,118,134,152,163,172,178,182,185,191,192,194,201,208,205,212,202,214,217,219,219,219,220,223,223,224,222,222,114,120,138,155,164,172,179,183,188,193,197,213,168,169,218,227,158,145,220,214,218,226,222,226,225,226,225,225,115,123,140,158,166,175,180,185,193,185,236,235,179,135,193,231,175,118,152,171,144,205,232,225,227,227,227,226,116,125,140,159,167,175,181,187,194,187,255,245,201,156,166,232,191,155,111,166,130,134,229,228,228,229,230,230,118,127,146,161,168,176,183,188,192,197,255,255,221,164,160,237,196,163,106,151,157,108,193,238,227,230,232,232,119,129,148,161,170,178,186,191,186,221,232,255,239,169,148,244,196,156,101,147,154,109,204,237,232,232,234,234,121,129,148,162,173,181,183,182,195,231,226,212,219,158,123,215,193,142,98,150,145,116,222,237,234,234,235,235,121,130,150,162,173,178,194,250,255,185,133,142,189,136,103,167,152,120,104,148,132,129,237,235,237,235,236,236,121,133,155,163,174,172,241,255,231,162,132,100,167,136,96,144,136,114,101,133,120,138,242,235,238,237,238,238,123,135,154,165,173,183,255,221,204,169,148,101,146,181,107,138,175,131,113,167,139,149,248,237,239,239,240,240,123,137,156,167,170,201,252,181,187,186,153,118,85,133,84,104,168,128,114,191,165,108,178,250,238,241,241,241,124,138,158,167,168,213,243,188,158,185,151,138,71,51,83,118,127,119,153,162,132,104,118,238,243,242,241,242,124,140,159,167,167,218,255,208,167,151,139,121,64,78,138,188,196,184,184,161,139,131,133,240,244,242,242,242,125,144,161,170,166,226,255,207,184,141,116,108,88,120,188,221,221,209,188,155,145,125,168,252,242,243,243,243,126,146,163,171,168,228,255,220,194,153,131,157,148,192,231,235,229,201,171,152,130,113,212,250,243,244,245,245,128,146,161,172,172,221,247,214,190,157,156,170,161,232,234,233,228,191,160,147,121,140,247,243,245,246,246,246,129,148,161,173,176,206,244,209,185,163,160,149,169,224,221,230,214,177,151,140,115,192,254,243,247,246,247,247,131,150,161,171,180,196,242,204,187,175,165,162,192,215,220,220,193,164,144,128,126,235,247,246,248,248,249,250,132,153,165,173,183,188,230,210,201,199,180,171,200,211,214,194,170,150,137,117,164,252,244,247,250,250,251,250,135,153,164,175,185,184,218,224,203,195,177,162,174,195,195,171,146,136,130,123,223,250,245,247,250,252,252,252,137,155,164,174,184,188,207,236,195,185,169,152,147,164,163,151,133,134,119,175,253,245,248,250,251,251,251,252,137,156,164,175,184,191,199,244,212,182,157,145,151,152,152,144,130,127,130,236,246,247,250,251,252,252,252,253,137,156,164,175,184,190,196,242,230,186,159,158,169,153,152,150,132,108,173,254,244,249,251,252,253,253,253,253,139,156,165,174,186,189,212,255,244,199,184,178,176,153,141,136,125,94,186,255,245,250,251,251,253,253,253,253,140,158,166,177,180,214,245,236,255,208,194,177,169,149,135,123,119,90,190,255,244,250,252,251,253,254,254,254,141,158,167,178,181,255,255,200,248,216,199,175,162,146,122,120,118,93,203,255,246,251,252,253,254,254,254,254
23,188,188,190,191,192,193,193,194,196,197,198,198,198,198,198,200,199,196,196,196,197,197,197,197,197,197,195,194,189,189,191,192,193,194,195,196,198,198,199,199,201,206,213,217,210,197,193,195,192,194,197,198,198,198,197,196,190,191,192,194,195,196,197,198,199,200,207,214,219,225,228,221,206,193,184,178,167,183,198,200,200,199,199,198,191,192,194,195,197,198,198,199,200,207,232,236,223,217,208,189,169,164,158,150,156,188,200,201,201,201,201,201,193,194,195,196,198,199,200,201,200,215,245,232,200,185,170,160,169,172,168,172,187,199,201,202,203,202,202,202,194,194,196,198,200,201,202,202,202,223,247,223,179,152,162,182,199,202,199,201,203,203,203,204,204,203,203,203,195,196,198,200,201,202,204,203,206,233,246,221,180,163,195,210,219,215,198,202,205,205,205,206,206,205,204,204,197,198,200,201,202,203,204,204,212,242,242,223,183,181,223,237,241,223,180,188,203,206,207,207,208,207,207,206,198,200,201,202,203,205,206,204,220,246,239,228,207,222,246,247,238,211,167,156,168,195,208,208,208,208,208,207,200,201,202,204,205,206,207,207,230,249,239,239,243,249,247,237,225,211,196,162,129,164,206,209,209,209,209,208,202,203,204,206,207,207,208,214,240,250,244,244,247,247,242,236,232,229,220,183,130,141,198,211,212,211,211,210,203,204,206,207,208,208,213,231,246,248,244,240,241,243,242,238,231,220,206,173,127,121,170,208,213,213,212,212,204,205,207,208,208,209,227,247,251,250,245,238,234,236,236,231,221,211,204,179,127,109,141,201,214,214,214,214,205,207,209,209,209,211,235,252,254,252,246,235,230,231,231,226,217,211,207,183,130,107,143,204,216,215,215,216,207,208,210,211,211,214,233,253,254,254,250,241,237,230,221,214,205,199,191,167,128,113,165,213,217,216,216,217,208,209,210,213,215,215,230,252,254,254,251,242,237,219,194,183,174,168,163,153,127,129,190,218,218,218,217,217,210,210,211,214,216,216,228,251,255,254,248,239,230,205,169,140,120,126,148,148,128,150,209,221,220,219,218,218,211,212,213,215,216,216,226,249,255,254,247,236,223,200,165,122,79,102,143,145,130,171,218,222,221,221,221,220,212,213,215,216,217,217,224,248,254,254,248,237,234,217,163,105,81,112,136,131,131,190,221,222,222,223,222,220,214,215,216,217,218,218,224,246,254,254,249,241,238,214,161,107,93,117,120,116,141,207,223,223,223,224,223,222,215,216,216,218,220,220,224,245,254,254,250,245,238,207,163,121,94,102,110,116,154,216,224,224,224,225,224,223,215,217,217,219,221,222,224,244,254,254,251,248,239,207,165,130,96,99,114,121,167,221,226,226,226,227,226,225,216,217,218,220,222,223,225,243,254,254,251,249,238,207,168,137,108,108,120,127,183,225,227,227,228,228,227,227,216,217,219,221,223,223,225,243,254,254,252,247,234,207,171,141,117,116,123,137,201,227,228,228,228,229,228,228,217,218,220,222,223,224,225,243,254,254,250,242,226,200,167,141,123,119,123,157,218,229,229,229,229,229,229,228,218,220,221,222,224,226,226,243,254,253,246,233,214,189,160,140,128,121,130,188,228,230,230,231,231,230,230,229,220,221,223,224,225,227,228,243,254,253,242,223,201,176,154,141,131,124,155,216,231,231,231,231,231,231,231,230,221,222,224,224,226,228,229,244,254,252,241,220,198,174,153,140,130,136,193,229,231,231,232,232,232,232,231,230
12,169,173,177,180,183,186,189,192,194,195,196,197,197,197,197,197,196,194,195,196,196,195,195,195,194,194,192,191,170,174,177,181,184,187,191,193,195,196,198,198,199,193,188,195,196,181,176,190,194,192,194,196,196,195,194,193,171,174,178,182,185,189,192,194,196,198,199,201,208,197,176,177,195,187,160,161,173,168,175,194,197,197,196,195,173,176,180,184,187,190,193,195,197,199,200,207,222,219,194,161,164,197,176,135,134,148,144,176,197,198,198,196,175,178,181,185,189,192,195,197,199,200,202,216,215,216,205,159,130,172,176,127,104,131,128,141,191,200,199,198,177,179,183,186,190,194,196,199,201,201,203,210,191,202,200,151,117,158,166,122,96,118,120,117,182,200,200,199,179,181,185,189,192,196,198,201,204,207,200,169,151,185,186,141,109,156,163,120,99,122,116,116,184,201,201,200,181,184,187,191,194,198,201,205,214,221,202,148,116,147,173,144,103,153,178,131,108,141,125,131,192,202,201,201,183,186,189,193,196,199,204,215,221,219,205,155,106,113,163,140,91,146,183,131,115,160,137,154,200,204,203,202,185,188,192,195,199,203,214,221,202,198,204,159,101,81,125,115,71,111,160,123,112,149,137,176,206,206,205,204,187,190,194,198,202,207,221,215,188,175,189,154,101,66,77,81,86,115,134,133,133,137,120,166,206,207,206,206,189,193,197,200,203,211,216,196,167,145,169,150,103,67,70,92,147,182,170,160,145,131,117,139,199,209,207,207,191,195,199,203,205,211,219,197,166,133,151,147,106,74,87,131,182,200,189,166,138,117,114,123,189,210,209,208,193,197,201,204,206,214,223,203,173,139,136,146,121,89,119,171,198,200,189,165,134,110,102,123,193,212,210,209,196,200,203,207,210,221,228,210,184,152,129,139,132,115,166,202,208,202,188,155,127,103,94,147,206,213,211,210,199,203,206,209,213,226,231,217,193,163,137,130,131,153,199,213,214,206,179,141,118,96,107,183,213,213,209,204,202,205,208,211,215,227,230,221,200,174,156,142,144,176,200,212,216,201,164,130,110,91,136,201,200,181,158,139,205,208,210,213,216,224,228,224,206,184,171,155,153,178,192,210,212,187,148,120,101,90,137,147,119,92,75,66,208,211,213,215,218,221,228,225,209,192,182,165,159,182,191,207,202,169,133,110,91,73,76,67,56,51,49,46,210,214,216,219,221,219,225,222,209,196,187,172,163,183,195,194,180,149,120,100,78,54,48,46,44,43,46,42,213,216,219,221,223,220,222,222,210,197,185,174,166,177,189,177,157,132,110,91,61,39,44,45,38,38,45,45,214,217,220,223,225,219,220,223,209,194,182,170,160,166,177,164,141,121,101,80,51,30,38,47,39,33,40,46,215,218,221,224,226,219,220,220,202,187,178,166,155,161,168,152,126,109,87,65,52,31,28,41,44,34,33,41,217,220,223,226,228,220,221,217,192,179,175,163,154,160,157,139,112,92,60,45,51,39,21,30,42,39,30,32,219,222,225,228,229,217,221,220,192,184,182,169,159,159,147,126,102,74,42,31,44,45,23,20,34,42,35,26,221,224,227,229,228,202,213,223,202,200,193,174,160,156,138,118,92,60,40,27,34,44,29,15,24,40,40,30,220,223,226,229,223,167,188,222,214,214,197,170,160,153,133,112,83,52,39,26,24,38,34,14,16,33,42,36,200,204,209,213,204,134,149,212,216,214,190,163,160,153,129,107,75,51,38,26,19,34,37,17,12,28,40,41
12,73,90,105,114,117,126,136,145,149,153,158,164,169,173,177,181,184,186,189,192,193,195,195,197,198,200,201,201,77,94,108,116,120,130,141,148,152,156,161,166,171,177,181,184,187,197,197,194,194,199,200,200,203,204,203,204,79,97,113,117,122,133,144,151,154,159,165,170,175,180,182,187,189,166,179,204,197,199,204,211,203,206,206,206,82,100,115,119,125,136,145,153,157,163,168,174,178,185,191,198,204,118,75,167,213,164,110,169,215,205,209,208,85,102,116,122,127,139,147,154,160,165,170,176,183,168,139,211,212,132,79,71,142,154,85,61,190,215,209,211,86,105,119,123,130,142,151,157,164,168,172,175,211,156,80,92,200,165,113,63,66,155,118,54,124,229,210,212,89,108,121,126,133,144,152,159,166,173,172,194,224,158,108,57,160,203,130,91,56,139,138,78,94,230,214,216,92,110,124,128,136,146,154,161,168,173,177,211,206,192,140,101,113,218,159,98,46,101,138,88,77,225,217,219,95,113,126,130,138,150,156,164,172,172,194,196,164,217,175,122,72,177,188,103,48,58,115,84,58,219,222,222,98,116,127,132,140,153,159,165,169,172,227,150,139,210,191,122,70,116,190,101,52,35,98,68,49,218,225,224,100,118,129,134,142,153,161,165,151,143,178,142,122,172,185,135,82,61,157,94,51,30,78,62,54,221,226,225,102,119,130,134,143,151,175,195,178,172,168,131,69,49,164,132,66,26,119,101,54,28,68,65,64,228,226,227,105,120,131,135,146,150,188,223,211,215,199,99,53,0,101,98,46,10,75,123,97,35,85,85,83,239,225,229,107,124,132,137,149,150,198,217,168,170,149,68,53,1,38,79,59,0,34,167,124,49,91,109,45,196,237,228,109,126,133,139,149,154,192,194,147,115,141,98,62,14,0,79,70,14,68,159,134,59,61,96,20,137,247,228,111,127,134,140,150,157,182,162,123,75,114,138,57,30,0,41,44,70,152,149,122,57,41,58,35,167,244,230,110,126,135,139,151,157,179,189,151,105,78,138,63,41,16,24,72,142,167,154,128,94,66,50,70,225,238,241,112,126,133,137,149,157,185,191,150,115,82,108,75,42,22,37,126,163,166,164,150,112,78,34,144,255,227,203,114,128,133,137,151,157,187,186,167,151,92,71,96,75,50,61,171,174,172,180,143,101,65,56,220,199,182,134,114,127,135,140,152,160,184,185,179,160,86,86,125,103,65,86,187,183,191,170,114,88,54,97,213,94,102,178,114,128,134,141,152,161,178,177,170,166,88,106,124,94,100,159,196,195,184,139,92,73,52,91,93,114,78,99,113,128,134,140,151,161,170,164,171,158,102,114,126,99,145,173,198,186,159,112,74,56,75,148,90,133,91,80,114,127,133,141,153,164,174,173,179,153,109,119,127,97,146,155,181,171,140,92,64,41,117,192,107,67,138,194,84,91,95,99,105,111,114,141,171,149,122,127,121,100,136,158,156,147,107,69,46,81,96,103,106,91,148,134,79,80,80,81,84,83,76,94,173,152,129,124,115,107,117,147,137,100,71,51,50,99,184,136,125,134,95,126,85,84,87,89,90,93,95,90,169,177,143,121,116,114,112,132,118,75,53,55,152,177,240,209,210,161,130,192,85,86,86,88,90,90,92,87,149,162,138,115,106,99,101,114,96,66,34,93,237,200,167,170,180,141,99,114,84,87,88,90,92,91,93,90,153,158,96,80,79,81,92,92,69,52,27,80,230,179,178,198,230,189,123,90
23,164,166,166,167,168,168,168,169,169,169,169,169,170,169,169,170,169,168,168,168,167,167,166,166,165,164,165,154,166,168,167,168,170,170,170,170,171,172,172,171,171,171,172,173,173,170,168,169,168,168,167,167,166,166,165,165,167,168,170,172,172,172,172,173,173,173,174,173,173,173,173,173,174,174,174,170,170,170,169,167,168,168,167,166,170,171,172,172,172,173,173,173,174,174,174,174,174,175,174,175,175,176,175,173,173,173,173,172,172,170,169,168,172,173,173,174,174,175,175,175,174,175,175,176,175,175,175,175,176,177,175,175,174,168,169,170,170,173,171,170,173,173,174,176,176,177,177,176,176,176,177,178,176,175,176,177,177,174,183,194,187,178,172,131,103,180,172,173,174,174,175,176,176,177,178,177,177,177,179,180,179,178,179,179,177,190,202,197,153,134,133,91,118,181,173,175,175,176,177,179,178,180,181,180,180,180,181,180,182,181,179,180,200,200,178,146,79,119,141,157,180,176,176,177,177,177,177,179,181,180,180,181,181,180,181,181,181,181,177,196,214,176,93,92,149,186,182,180,177,177,177,177,177,178,180,180,181,181,181,181,182,181,181,181,182,179,186,206,213,134,65,172,190,180,177,181,181,176,179,179,178,179,181,181,180,181,183,182,181,182,183,183,185,181,200,205,204,144,153,187,157,173,184,166,168,183,180,180,180,180,181,182,182,182,183,183,183,182,183,184,185,184,198,196,183,196,201,196,132,119,169,150,126,185,181,180,180,181,181,182,182,182,182,184,183,183,177,161,166,182,186,188,112,162,164,171,132,79,147,160,100,185,182,182,180,181,182,183,185,184,183,185,184,192,188,164,137,152,165,189,171,194,194,176,120,61,111,136,92,189,183,182,181,182,184,184,184,184,185,185,187,203,202,195,171,157,147,145,136,141,166,177,136,64,53,82,67,172,188,183,180,181,184,184,183,184,186,186,185,199,210,200,194,175,154,168,150,130,122,127,131,90,45,61,56,115,195,183,179,181,183,183,183,183,184,186,181,194,212,195,188,164,119,138,171,162,144,124,81,100,57,49,63,86,191,183,179,182,183,183,183,183,184,187,180,194,209,203,199,132,92,79,129,135,124,99,61,94,64,44,57,129,192,180,181,182,182,184,183,185,185,188,179,194,210,213,196,127,73,37,78,151,108,57,71,109,70,42,76,178,185,182,181,182,184,185,184,185,186,188,176,196,214,208,176,132,85,22,104,133,77,30,100,113,72,45,141,193,182,184,181,181,182,183,184,186,186,186,177,200,214,197,162,123,90,33,86,95,22,33,117,99,53,79,191,185,184,184,180,180,181,182,183,184,186,184,182,204,210,187,153,119,88,30,70,68,8,76,109,69,44,145,195,184,186,186,186,186,186,187,188,189,191,184,188,211,203,174,147,121,92,39,63,51,21,96,84,48,67,185,187,185,185,185,151,154,157,160,164,169,175,170,191,201,191,160,137,118,95,43,54,51,49,69,67,54,142,200,192,194,193,192,79,78,77,80,84,84,78,106,192,192,180,143,131,134,92,50,43,55,80,74,60,67,136,142,145,149,152,153,83,82,80,80,81,83,73,104,189,188,169,140,147,146,84,65,49,67,89,86,69,74,68,70,73,68,66,75,82,84,83,82,83,85,77,119,193,179,171,151,158,146,95,72,60,73,82,76,74,85,81,82,87,108,143,171,82,84,85,84,85,88,74,133,203,191,185,167,163,145,104,75,63,69,76,73,86,94,113,152,180,196,188,189
11,125,131,136,139,143,146,149,152,153,156,158,159,161,163,165,167,168,169,171,172,172,173,174,174,174,173,173,173,127,132,138,141,145,147,150,152,155,157,159,162,163,165,167,168,169,171,171,173,174,175,175,175,175,175,175,175,128,133,139,143,146,148,151,153,156,158,160,163,166,167,168,169,171,173,173,175,176,176,176,176,176,176,176,176,129,134,139,143,147,149,152,154,157,159,162,164,166,168,169,169,156,168,174,176,176,176,177,177,177,177,177,177,130,134,139,143,147,150,152,155,159,161,164,166,167,169,170,173,136,136,176,177,177,177,179,179,179,178,178,178,129,134,139,145,148,150,153,156,159,163,165,167,168,170,170,181,136,124,177,178,179,179,179,179,179,179,179,179,130,135,140,145,149,151,154,156,159,163,166,168,169,171,171,183,121,134,178,179,179,180,181,181,180,180,179,179,131,136,141,146,150,151,154,157,160,164,166,168,169,171,177,180,116,149,179,180,181,182,181,182,181,181,181,180,132,137,143,146,150,153,155,158,160,163,166,168,169,171,187,158,109,163,180,181,182,182,182,182,181,182,181,181,132,138,143,147,150,153,156,159,161,163,166,168,170,167,182,127,108,176,181,181,181,182,182,182,182,182,182,181,132,137,142,147,152,154,157,160,162,165,166,171,178,135,125,111,124,180,180,181,182,182,183,183,182,182,182,181,133,137,143,147,151,156,161,159,151,176,160,132,156,128,98,99,154,180,181,182,183,183,183,183,183,183,183,182,133,138,144,147,160,185,185,164,114,145,147,109,134,119,90,94,173,181,181,183,183,184,184,184,184,183,183,183,133,138,143,152,178,160,172,162,110,137,134,101,149,116,82,109,181,182,182,183,183,184,185,185,185,184,184,182,134,139,143,164,157,144,153,155,106,132,120,106,143,103,76,128,182,182,182,183,183,184,185,185,185,185,184,182,135,140,145,178,151,123,128,141,97,120,105,115,127,91,74,142,181,181,182,182,184,185,185,185,185,185,185,183,135,139,159,182,152,125,125,111,91,112,88,120,114,78,68,142,182,182,182,182,178,174,176,184,187,186,185,185,135,139,180,176,150,127,112,103,102,104,72,135,100,70,77,119,174,177,172,167,158,150,136,139,172,187,185,185,135,141,192,172,149,130,110,95,120,97,62,105,94,102,121,126,150,165,169,163,152,137,128,123,117,180,186,186,136,143,187,173,156,138,116,108,117,123,133,144,151,151,144,148,158,152,140,131,126,142,159,149,135,180,186,186,135,142,183,175,161,145,124,125,146,164,159,158,157,152,138,131,132,118,135,164,180,186,186,186,185,187,187,186,135,143,191,176,162,145,126,132,158,165,154,158,150,137,113,108,123,162,184,186,186,186,187,188,188,188,188,187,135,150,195,165,151,134,125,133,151,152,151,145,129,106,99,141,177,184,186,186,186,187,188,188,188,188,188,188,134,161,176,146,139,132,131,134,135,140,138,118,97,108,159,180,182,184,184,185,186,186,187,188,187,187,188,187,131,170,170,147,140,146,137,137,124,122,111,93,128,170,177,178,181,182,182,183,183,185,186,186,186,186,186,187,131,183,176,146,141,159,141,130,112,102,92,137,171,175,176,177,179,181,181,182,183,183,184,186,187,198,203,204,135,188,180,142,142,160,140,120,99,84,121,168,172,175,176,177,179,179,181,182,182,183,185,185,204,210,211,203,135,188,181,138,143,158,137,119,90,81,155,168,170,173,174,176,178,179,180,182,182,183,184,183,175,157,188,199
2,188,189,190,190,190,191,192,191,191,190,191,190,189,189,189,187,186,185,182,180,181,180,177,176,173,171,170,168,189,190,192,193,192,193,194,194,195,194,193,191,191,194,193,192,192,193,191,186,181,181,178,175,174,171,170,169,190,192,194,196,196,197,197,196,196,195,195,195,192,175,176,179,171,164,157,165,188,181,178,178,177,174,172,171,195,195,196,197,198,198,198,198,198,197,198,193,168,153,155,157,153,126,101,87,141,188,187,179,179,178,175,174,196,197,198,198,199,199,200,200,200,200,199,179,162,161,149,142,157,117,87,113,123,126,156,184,181,179,177,175,198,199,200,200,201,202,202,201,203,204,200,189,176,154,129,111,96,56,49,81,96,67,55,165,189,180,178,175,199,200,203,203,203,204,205,205,205,196,183,179,160,109,71,56,70,90,152,146,104,70,107,183,184,183,181,177,199,201,204,205,205,207,206,208,208,191,174,155,110,53,30,42,186,208,202,204,198,188,196,188,185,184,182,179,201,202,205,206,206,210,209,209,207,191,162,100,53,40,31,92,214,197,198,197,195,194,191,190,186,186,184,181,203,206,207,207,208,210,211,211,206,193,152,63,31,30,35,169,210,200,200,199,197,194,192,194,191,187,185,182,205,207,208,208,210,209,212,210,206,191,144,62,33,25,75,216,203,205,203,200,199,198,197,182,175,189,186,182,206,207,210,211,213,212,215,207,201,186,122,46,48,39,86,216,204,206,204,200,199,201,149,104,90,148,194,183,208,209,209,212,215,214,216,207,203,178,108,60,60,38,101,220,205,208,205,202,205,155,106,106,81,128,198,184,208,209,211,213,215,217,215,205,203,177,116,79,57,30,132,225,204,209,205,209,168,106,115,101,79,174,192,187,209,211,214,215,216,217,213,203,203,174,116,82,54,36,85,222,215,205,216,181,92,92,104,74,125,203,188,188,210,214,215,215,217,219,213,204,197,166,123,85,50,49,45,95,177,224,186,115,83,82,80,70,193,196,191,190,211,213,215,216,216,219,212,203,197,165,120,76,51,50,57,54,72,137,93,86,102,78,53,155,205,194,195,191,212,214,216,217,217,219,208,203,211,166,114,84,52,50,57,66,73,65,67,84,80,68,165,209,197,199,195,192,212,215,216,218,219,222,203,212,209,157,110,83,54,51,60,63,74,81,69,76,66,174,213,199,200,199,196,192,212,214,216,219,221,221,201,217,199,146,105,86,56,51,62,65,74,80,70,43,158,219,200,201,200,199,196,192,214,216,217,219,224,217,203,214,187,138,108,89,55,51,66,72,75,76,52,128,217,205,204,202,200,199,197,194,215,217,219,221,223,214,204,208,171,136,113,85,56,52,72,74,78,53,81,222,209,207,205,204,202,199,198,196,217,218,220,222,225,213,200,190,159,129,105,80,53,52,72,69,65,39,179,220,209,209,208,206,203,201,198,196,216,217,220,221,223,212,196,181,156,123,102,77,52,53,68,67,33,137,228,212,212,211,208,206,205,202,198,197,216,218,220,222,221,210,186,172,144,114,94,73,54,55,54,33,124,229,215,215,214,212,208,206,206,203,199,198,216,219,219,221,220,209,180,169,141,112,87,68,51,37,50,151,229,218,217,214,214,212,210,207,203,202,200,198,216,219,221,220,218,203,177,161,142,110,80,58,30,99,215,233,220,220,218,216,214,211,211,208,205,203,201,198,217,218,222,219,208,176,160,158,136,99,64,43,52,217,232,220,222,219,219,218,216,214,213,209,205,204,201,197
15,86,87,87,88,90,92,93,95,97,101,109,119,129,137,144,149,151,153,154,158,162,166,168,169,173,174,176,177,88,88,87,89,90,93,92,95,98,101,109,120,130,138,143,148,151,153,156,159,162,166,169,171,173,175,176,180,90,87,88,87,89,93,94,96,98,101,112,121,129,139,143,149,153,155,158,160,163,166,170,172,173,176,178,180,90,87,87,88,89,92,87,93,99,103,112,122,129,137,144,150,153,156,158,161,165,167,171,173,175,178,181,183,90,87,88,89,87,89,130,111,94,98,112,123,133,138,144,151,153,155,158,160,165,167,172,173,175,179,181,183,89,87,87,89,82,108,197,168,142,121,114,120,129,139,148,153,155,155,157,161,165,169,171,175,178,179,180,182,89,88,88,88,85,97,166,172,158,163,148,144,133,129,136,144,149,154,158,164,169,171,172,174,178,179,181,184,88,88,89,89,90,86,103,134,120,137,149,156,155,151,136,136,134,138,141,144,152,163,172,180,177,181,182,184,88,87,88,88,89,91,90,97,100,112,123,122,143,156,151,146,142,147,150,142,125,121,112,150,186,179,185,186,88,87,88,88,89,91,94,96,96,104,111,108,116,136,135,133,126,141,164,169,148,129,109,81,150,191,182,187,88,88,87,88,88,90,93,97,96,104,117,126,131,132,130,129,113,139,161,165,154,143,136,104,91,169,188,185,89,87,87,88,89,91,92,96,96,104,116,124,135,143,146,145,139,171,167,160,163,160,151,133,106,94,177,191,90,88,88,88,88,91,93,94,98,106,112,126,136,139,151,154,172,194,154,142,175,157,162,155,129,88,99,187,88,88,88,87,90,92,92,96,98,99,141,147,142,142,133,152,186,150,138,115,180,141,171,172,134,107,78,114,87,87,87,87,90,90,91,94,95,101,172,164,164,170,157,126,132,115,84,92,169,125,175,172,136,112,91,76,88,87,87,87,88,90,92,94,96,104,139,141,168,190,172,130,129,131,102,104,141,141,167,165,137,117,93,85,87,87,86,86,85,89,91,93,96,104,115,129,152,176,149,132,151,144,140,141,135,133,120,136,129,111,91,85,85,85,85,85,85,86,87,90,93,103,116,124,137,136,117,136,152,146,146,157,154,130,92,97,109,99,94,89,85,81,83,84,85,86,86,88,92,103,116,125,125,167,144,110,125,147,153,157,154,122,91,90,95,92,95,96,84,81,82,82,84,85,88,89,93,102,115,128,122,187,184,113,60,77,132,145,147,117,93,95,94,92,98,97,84,82,81,81,83,84,87,88,93,104,115,127,125,174,173,108,63,51,68,124,124,99,92,95,96,95,98,99,84,82,81,81,83,84,86,86,92,103,115,127,125,171,174,92,85,92,56,93,122,97,95,99,104,101,99,95,81,80,79,79,81,84,86,84,90,99,113,125,126,164,172,78,128,112,94,101,117,131,117,114,106,102,98,93,80,79,77,78,80,81,84,85,90,100,111,122,123,165,180,65,127,162,88,133,121,125,105,101,96,95,95,95,75,73,71,71,74,74,76,76,80,93,107,119,118,172,168,66,112,188,103,102,168,92,94,90,80,84,86,86,130,126,123,120,117,116,115,115,117,122,128,133,133,156,115,82,145,167,105,119,176,145,163,133,71,68,69,68,111,111,109,108,106,108,111,113,113,111,109,104,103,109,87,95,117,113,103,115,120,124,120,121,91,72,72,81,100,99,99,98,97,97,98,97,97,98,98,93,92,96,101,102,98,97,101,100,98,96,96,97,101,97,102,100
6,159,161,163,165,166,169,170,168,168,168,169,169,169,168,168,167,168,167,167,166,164,164,164,164,163,162,160,160,160,162,165,166,168,169,170,170,171,171,171,171,171,170,170,169,169,168,167,166,165,166,166,165,166,165,161,160,161,163,166,166,169,172,172,172,174,172,172,172,172,172,170,169,169,168,167,168,167,167,167,166,165,165,162,160,160,162,166,168,170,172,172,173,173,172,172,173,172,172,172,171,170,169,169,168,167,167,168,166,165,166,164,162,161,164,166,168,170,171,172,174,173,173,174,174,173,171,170,170,169,170,172,171,171,173,170,169,168,166,165,164,162,165,166,168,172,171,173,174,173,173,170,166,159,150,131,132,140,146,144,145,147,143,155,158,165,167,166,165,162,166,168,169,171,171,169,174,174,176,173,168,164,152,131,132,145,152,140,142,125,118,167,149,128,171,165,166,163,166,167,173,176,166,170,182,183,184,178,169,161,147,132,130,141,150,145,142,139,125,156,138,110,171,166,166,165,167,168,196,184,166,168,169,166,157,149,144,134,131,116,92,87,104,110,115,120,116,120,121,152,171,167,167,166,168,170,206,183,164,156,149,155,160,160,153,139,136,141,108,89,155,153,156,156,160,162,168,173,169,168,166,167,167,174,187,158,153,157,163,171,177,170,158,150,145,145,118,84,177,180,179,178,177,175,174,172,171,169,167,167,165,193,185,152,150,156,163,173,177,174,165,155,143,126,101,71,143,182,174,175,174,173,173,174,172,170,168,167,168,195,169,152,149,152,155,160,163,164,157,143,135,120,79,71,110,183,174,176,176,175,174,174,174,172,170,168,171,181,153,165,162,160,160,165,172,173,157,134,136,138,79,68,99,179,177,177,177,176,175,175,173,172,170,167,170,179,180,179,167,171,171,179,183,167,151,140,141,128,86,73,94,174,180,180,179,176,175,174,173,172,171,169,167,182,208,187,164,167,168,171,169,162,152,144,129,103,86,82,99,179,179,180,179,177,175,174,174,173,172,166,166,186,204,183,164,161,150,137,134,137,133,127,114,78,76,89,152,184,179,178,178,178,175,173,173,171,170,167,165,185,190,181,168,152,135,129,145,155,147,145,150,93,59,99,177,180,178,176,176,177,175,174,172,170,168,169,167,186,181,193,174,152,153,172,180,161,144,136,143,102,70,123,183,178,178,177,176,175,175,174,172,170,168,169,167,186,179,188,172,155,157,166,166,150,138,129,117,94,83,141,187,177,178,177,176,175,175,174,173,172,170,167,161,181,183,176,164,158,156,160,154,145,128,111,92,79,88,159,181,178,179,179,177,176,175,174,173,172,171,170,161,173,182,181,164,155,149,143,125,110,92,80,91,127,155,180,177,179,180,178,179,178,177,176,175,174,165,157,151,168,180,167,152,140,129,113,92,81,64,83,147,175,173,170,170,170,170,169,170,170,170,170,169,160,200,88,92,162,169,146,135,129,120,92,80,84,83,90,93,92,90,91,91,91,91,89,89,90,90,92,82,186,248,86,89,158,159,134,137,131,109,86,82,90,95,82,78,78,77,77,77,78,75,74,74,74,74,61,170,251,239,86,96,161,149,133,146,128,97,84,82,95,91,83,84,84,84,82,86,93,87,88,91,90,67,171,251,242,239,81,106,168,146,137,145,125,97,82,82,101,88,84,84,83,82,81,83,85,83,83,88,69,153,251,244,240,232,81,119,171,143,132,136,112,89,80,89,100,86,85,84,83,82,81,81,82,82,86,74,123,249,242,246,231,227
15,95,105,116,122,124,127,134,140,146,150,153,157,160,163,167,170,173,177,180,182,185,186,188,188,190,191,192,193,97,106,116,123,124,127,134,142,147,151,155,158,162,165,169,172,174,178,181,182,184,187,189,189,190,193,193,194,99,107,116,122,125,127,135,142,147,152,157,159,162,166,170,173,175,179,182,184,186,188,190,191,192,194,194,195,99,109,118,122,127,130,137,142,148,154,159,161,164,167,171,173,178,181,183,186,188,190,192,194,194,195,196,196,100,110,119,126,126,130,136,142,148,153,158,161,165,169,173,176,180,182,185,187,188,190,193,194,195,197,198,198,100,109,128,154,134,131,139,139,146,154,155,155,153,157,162,172,178,182,186,188,191,193,193,194,196,198,199,200,102,112,131,154,130,121,129,136,151,158,163,168,171,163,155,155,156,164,174,174,176,185,197,196,195,198,199,200,104,113,124,120,99,102,113,121,140,154,159,176,185,172,169,167,172,172,169,174,156,143,156,191,199,198,201,201,105,115,123,126,127,131,128,125,130,138,143,162,184,187,185,183,184,190,183,172,182,162,120,113,180,204,201,201,106,115,122,126,130,137,145,151,155,157,156,153,146,159,181,201,185,161,184,161,169,187,119,108,105,183,206,203,106,116,124,127,129,135,143,150,155,158,166,166,128,111,119,141,170,149,148,146,166,195,111,117,133,112,192,203,106,116,123,126,130,136,143,149,154,155,190,165,122,107,113,130,160,150,112,115,146,168,117,114,156,117,118,207,107,116,123,126,130,137,143,149,154,156,204,168,108,110,132,154,168,150,121,118,117,115,117,129,143,117,76,153,107,118,124,125,130,137,144,150,154,164,199,206,146,132,144,154,158,138,121,122,121,118,119,135,145,118,77,77,107,118,124,126,131,138,144,150,151,186,206,205,203,170,121,105,113,108,103,107,116,125,134,144,148,129,86,70,108,119,125,127,131,138,145,152,155,185,211,200,196,197,168,103,53,62,57,63,83,113,141,141,134,120,88,80,109,118,125,128,131,138,144,152,156,168,203,209,183,180,199,163,57,41,39,45,48,74,126,134,125,112,96,91,107,118,124,127,131,138,144,151,155,162,195,199,192,166,190,136,64,44,39,50,44,69,130,144,141,132,121,106,106,114,120,123,127,133,139,146,150,174,207,195,175,165,161,103,63,46,44,53,51,65,117,141,146,142,133,118,82,85,90,92,95,96,99,102,107,118,183,209,188,150,144,136,70,46,51,52,64,72,90,120,134,136,132,119,82,84,85,85,87,88,88,86,86,86,113,150,160,157,143,133,91,57,53,53,63,76,79,100,117,124,124,115,87,87,88,90,90,92,93,93,92,97,97,98,102,108,101,100,98,65,57,51,58,76,83,90,116,123,118,107,88,88,88,90,90,93,93,93,93,96,97,97,98,98,109,108,118,96,84,79,81,89,90,88,112,120,112,103,89,89,90,91,90,92,92,93,93,95,96,96,97,96,98,120,136,137,145,132,117,135,135,123,122,124,110,98,88,89,90,92,91,91,93,94,94,96,97,96,96,98,98,95,103,137,158,144,161,176,174,169,151,140,122,97,87,88,88,89,90,92,94,94,95,96,98,99,97,98,99,100,98,103,115,135,169,188,181,173,154,133,117,105,87,88,88,90,90,92,93,93,94,95,97,98,98,98,97,100,99,98,98,104,122,135,157,142,128,116,112,124,87,87,88,89,91,92,93,93,94,95,95,95,96,97,97,98,100,100,101,99,98,99,126,115,123,136,134,119
19,193,194,195,198,199,200,201,202,202,203,203,203,203,203,203,202,202,202,202,201,200,201,200,198,197,197,196,195,194,195,197,199,200,202,202,203,204,205,205,204,206,205,205,204,204,203,203,202,202,202,201,201,199,200,198,198,196,197,199,201,203,203,205,206,207,207,206,206,206,207,207,206,206,204,205,205,203,202,203,202,201,201,198,199,196,199,200,202,204,205,206,206,208,207,208,207,208,208,208,207,208,206,206,206,204,204,203,203,203,202,201,200,197,200,201,203,203,206,207,207,209,210,209,210,210,210,209,207,209,208,207,206,206,206,205,205,203,202,202,201,199,201,202,204,204,207,208,209,211,212,212,212,212,211,210,210,209,210,208,208,208,206,207,206,205,205,204,202,200,202,205,206,206,208,209,211,212,212,212,213,212,211,211,206,215,211,209,210,209,208,207,207,207,206,205,204,201,202,206,207,207,209,211,212,214,214,213,215,219,213,225,195,165,215,210,209,210,209,210,208,207,205,206,206,202,204,206,208,210,212,213,214,214,216,217,194,177,198,229,214,126,180,221,217,214,214,213,211,209,210,209,206,203,205,208,209,212,213,214,214,215,214,205,175,140,143,158,169,153,141,162,172,194,198,203,205,208,203,199,205,204,207,209,212,213,213,215,217,214,204,201,207,201,156,109,132,155,147,145,131,140,156,163,151,171,155,160,201,206,208,209,212,213,214,213,210,196,201,214,216,186,134,107,102,122,133,141,132,135,151,155,152,156,158,154,189,206,208,211,213,215,213,211,203,199,201,205,205,189,150,107,100,99,103,107,103,107,114,123,123,122,127,131,147,207,208,211,213,213,211,210,208,205,196,204,211,211,180,121,98,104,93,113,145,162,164,163,162,171,173,183,199,208,210,212,214,213,211,210,209,207,204,210,214,210,181,125,99,103,91,164,234,223,223,221,223,223,221,219,216,209,210,210,213,211,213,211,211,213,209,207,207,200,187,139,99,100,101,107,214,221,217,216,215,216,216,213,215,206,208,217,217,216,213,214,215,215,207,202,211,209,198,154,102,98,106,86,153,232,217,218,219,218,217,216,216,208,230,233,221,215,216,217,214,208,205,210,216,211,183,146,110,96,108,89,131,232,218,220,220,219,218,217,216,229,236,227,217,212,214,210,207,204,204,198,198,189,163,139,119,103,105,93,183,231,220,220,220,221,220,218,217,235,232,218,213,212,210,207,206,199,197,190,185,179,164,139,122,115,106,83,188,232,222,221,221,220,220,219,218,232,228,220,209,204,205,201,203,201,195,189,181,175,182,143,119,120,107,100,213,228,223,223,222,220,220,220,219,230,226,216,205,194,195,194,194,199,190,182,165,162,176,130,114,125,105,125,236,222,223,224,223,222,221,221,220,226,221,208,193,182,180,183,181,187,178,160,140,141,132,94,112,127,98,163,233,223,224,224,224,223,222,221,220,217,209,192,179,171,156,160,166,170,153,133,130,126,99,108,120,114,171,230,227,225,224,225,224,224,223,221,221,216,190,185,177,155,139,130,139,142,132,121,114,101,97,114,143,193,233,226,226,225,225,225,225,224,224,223,221,186,176,187,173,146,121,116,115,117,107,136,188,179,182,204,225,232,226,226,226,226,225,225,224,223,222,221,220,138,177,183,161,134,103,85,86,129,178,221,236,234,233,232,228,226,227,227,226,227,226,225,223,222,222,221,220,91,129,127,101,82,67,56,54,206,240,226,227,227,228,227,228,227,227,228,227,227,227,225,224,223,222,221,221
16,155,157,157,160,165,168,171,174,177,179,180,182,185,186,186,188,189,190,192,191,192,193,192,192,192,191,191,192,156,157,158,160,165,169,172,174,178,179,180,183,185,187,190,192,193,193,196,197,196,195,192,192,194,193,193,192,155,157,158,160,165,170,173,175,178,180,182,186,187,185,177,169,163,160,159,164,173,189,200,196,193,194,193,194,157,158,158,161,166,171,173,177,179,178,176,171,160,151,140,128,118,115,115,105,97,102,140,177,199,193,195,195,157,157,158,161,167,169,173,171,180,154,151,142,138,139,134,125,117,105,103,105,93,75,73,81,137,199,196,195,156,157,159,164,167,174,185,186,196,162,153,138,131,136,130,122,116,110,98,100,102,84,80,77,67,140,204,194,157,158,160,165,164,179,201,198,196,172,155,134,122,125,124,123,114,114,102,98,96,85,84,81,84,72,173,202,156,157,161,165,165,173,192,201,197,168,150,121,114,114,113,119,114,109,109,100,95,89,85,80,86,72,105,209,157,158,160,165,165,180,191,206,196,165,133,111,98,104,106,112,112,108,113,109,93,91,93,84,76,87,67,172,157,159,160,165,164,180,195,207,188,157,111,96,77,91,108,116,121,116,119,117,96,89,97,81,79,89,72,104,157,159,162,165,169,174,197,207,179,135,98,94,63,47,108,120,136,133,134,122,100,93,100,81,81,87,87,64,158,159,160,165,169,168,198,202,165,122,90,81,47,18,82,114,134,158,156,135,101,95,102,82,81,88,92,78,158,159,160,164,170,170,193,192,149,116,84,71,63,43,69,95,139,168,157,135,100,97,92,82,82,85,89,89,157,158,161,165,169,172,185,174,133,109,75,79,78,76,81,70,158,163,140,127,106,98,85,84,85,86,88,91,154,156,159,163,166,171,179,162,118,87,66,86,83,77,68,87,170,147,135,124,105,86,85,85,84,88,89,91,154,156,159,163,167,173,189,155,99,86,57,74,79,98,135,164,160,133,131,113,87,77,84,87,85,88,88,89,157,157,160,165,167,174,189,149,94,116,103,120,162,192,192,170,138,128,120,95,74,79,84,88,90,89,88,87,156,157,160,165,167,175,195,146,83,163,192,192,195,194,180,159,122,111,103,97,78,80,85,87,92,91,90,89,155,157,160,165,167,176,190,133,88,180,188,188,190,192,183,145,114,88,114,117,86,85,85,88,92,91,92,91,153,156,160,164,165,176,185,107,105,192,187,188,190,192,185,144,101,94,161,135,103,93,87,89,91,91,92,93,154,157,160,163,165,177,175,90,126,192,185,188,190,192,188,153,77,130,194,147,120,100,92,88,90,92,93,95,151,153,157,164,162,187,167,79,153,189,186,187,191,194,186,163,85,151,208,157,135,113,100,92,91,91,92,94,151,155,159,161,154,202,138,87,170,177,179,181,182,184,177,161,108,133,201,160,147,125,110,99,94,94,94,97,111,111,114,115,110,141,104,91,115,114,115,119,120,121,121,120,109,105,119,119,153,135,121,110,104,98,96,97,103,102,102,104,102,102,102,101,101,104,102,102,104,102,102,103,102,100,97,96,140,146,130,118,110,104,100,98,106,108,108,108,109,109,108,107,109,111,113,110,109,110,110,109,110,108,110,100,125,157,138,125,116,111,106,103,107,107,107,108,109,108,106,108,109,109,109,108,107,109,108,107,113,117,115,110,113,158,148,132,123,119,112,108,108,108,107,107,109,108,107,109,108,108,108,108,107,109,108,107,108,108,108,109,106,154,157,143,134,126,115,109
7,241,241,241,241,242,241,241,241,241,240,240,238,236,236,235,234,233,232,230,228,224,223,223,219,218,216,213,210,244,243,243,243,244,244,245,243,242,242,242,241,240,239,238,236,234,232,232,231,228,226,225,222,220,218,216,212,244,244,245,245,246,246,246,247,245,244,246,244,243,242,241,238,237,236,234,233,231,228,225,225,224,221,219,216,246,246,248,248,248,247,247,249,248,247,246,246,245,244,242,240,240,238,235,235,235,235,232,231,228,224,222,218,248,249,249,250,250,250,249,249,250,250,248,245,245,244,244,246,246,245,242,235,229,218,210,209,216,229,224,222,250,251,251,250,250,251,250,250,250,253,253,253,254,249,244,228,207,195,183,190,173,147,179,214,176,217,229,223,253,252,252,253,252,252,254,255,255,248,240,228,209,191,174,172,151,138,157,148,143,138,160,176,151,225,231,224,253,253,254,253,254,255,249,222,195,179,168,172,169,163,161,155,140,122,128,113,117,110,89,116,165,189,219,230,255,255,255,255,255,241,207,183,150,151,164,157,158,151,149,128,125,134,120,117,124,114,113,106,93,109,144,226,254,253,255,255,228,206,207,184,139,128,123,118,123,132,144,155,162,163,126,100,128,114,100,92,75,105,108,214,254,255,249,213,201,207,201,183,164,146,142,149,164,173,168,169,155,144,110,80,87,74,71,80,84,104,163,233,255,248,208,197,203,201,191,191,186,171,168,160,164,157,141,132,116,99,80,91,130,164,191,210,226,234,239,233,251,208,199,201,204,195,201,198,176,131,105,115,118,102,91,128,144,167,198,233,254,255,252,248,244,239,235,234,213,207,207,207,203,203,198,174,148,87,78,87,72,65,54,137,255,255,255,255,248,244,243,243,242,240,236,235,207,213,210,206,205,194,166,158,129,89,75,58,54,55,58,29,156,255,249,251,249,247,245,244,242,240,236,234,210,211,207,210,199,174,161,153,145,148,121,66,56,61,48,61,204,255,250,250,247,246,242,241,239,236,239,238,203,208,215,210,185,160,150,144,156,168,121,62,57,51,64,203,255,251,251,250,250,246,242,243,246,248,224,137,205,212,211,189,152,134,134,131,137,127,78,53,50,27,135,255,251,255,251,250,248,252,255,242,208,151,92,63,206,205,184,154,142,140,140,124,115,99,78,59,58,33,128,255,251,255,255,255,255,222,165,117,77,58,54,62,197,177,154,152,151,146,135,103,86,98,102,72,46,92,249,255,255,236,224,222,180,99,67,54,59,59,60,60,167,153,154,147,130,110,89,82,94,115,99,54,75,209,224,198,147,86,79,73,63,58,74,59,43,51,58,62,156,156,141,114,100,96,93,97,96,85,61,85,113,105,91,88,47,44,60,42,59,48,49,57,29,41,52,60,157,149,124,113,114,110,98,83,73,69,112,127,97,81,75,71,64,28,53,40,43,41,41,42,24,33,45,56,139,114,100,99,95,89,77,75,96,125,129,96,76,68,60,52,51,31,32,43,32,36,37,32,18,27,45,52,88,62,75,82,89,93,103,122,136,124,74,67,63,57,45,50,44,37,17,37,27,30,35,24,19,30,42,51,48,94,130,133,141,136,133,132,124,90,60,44,54,55,40,43,38,38,12,24,30,26,36,21,21,32,39,47,67,136,137,134,140,131,128,124,98,52,48,40,38,50,31,35,25,32,16,15,28,26,35,16,25,32,40,44,85,137,136,132,133,132,124,104,65,29,49,43,26,46,24,32,18,29,26,7,25,28,31,18,30,31,41,41
13,148,150,152,154,155,157,159,160,161,164,163,162,163,163,163,163,163,163,163,163,161,161,162,160,160,160,159,158,149,150,153,156,157,159,159,162,162,162,165,164,164,164,164,164,164,164,164,164,162,163,163,162,160,159,160,160,150,152,155,157,158,160,161,164,164,164,165,165,165,165,166,166,165,164,166,165,163,163,163,163,162,161,162,161,152,154,157,158,159,161,163,165,165,165,166,167,168,167,169,168,167,166,164,165,168,166,163,163,164,164,163,162,152,154,157,159,161,162,164,165,166,167,168,168,169,170,165,167,165,168,178,151,118,155,169,167,167,164,164,164,153,155,158,160,162,163,165,165,167,168,169,169,167,158,179,180,133,135,197,155,89,97,166,143,157,168,165,165,155,158,160,163,162,164,166,167,169,170,167,176,173,124,144,194,140,112,189,152,96,57,139,115,87,168,167,166,156,158,160,163,164,164,166,168,170,169,170,202,184,144,95,180,150,107,185,143,90,63,142,127,61,143,174,166,157,159,161,163,166,167,168,170,173,168,187,204,194,156,93,161,158,89,169,152,73,99,171,130,53,122,179,164,158,160,163,164,166,169,170,171,171,172,199,167,188,158,85,135,160,81,172,171,86,80,114,80,44,124,179,166,158,161,164,166,167,168,170,171,167,185,200,172,185,142,77,132,149,76,97,132,73,58,105,100,55,132,179,168,160,163,164,165,167,170,171,168,180,204,183,156,176,122,79,156,132,91,22,23,26,105,161,159,86,141,178,169,161,163,164,168,170,170,173,167,191,208,173,136,155,124,82,161,138,89,20,75,107,145,158,157,102,141,179,170,163,164,165,169,171,171,174,170,199,202,175,141,120,129,67,171,184,87,92,189,175,150,123,114,88,111,182,170,163,165,166,170,172,173,176,174,208,200,181,166,136,102,65,139,154,128,188,184,159,140,116,91,77,82,176,174,164,166,168,170,173,175,174,177,215,199,183,167,155,120,114,116,161,192,191,172,151,131,106,86,72,84,179,174,166,168,170,171,175,175,174,180,215,199,181,172,159,134,120,136,197,198,184,160,137,120,97,84,61,129,184,173,166,169,171,173,176,177,177,178,211,202,184,175,163,139,126,155,195,197,179,154,127,109,89,74,71,173,178,176,167,169,172,175,176,177,177,178,211,204,188,176,162,143,141,172,184,180,165,145,123,100,85,55,101,189,176,179,167,171,173,175,177,178,178,178,210,203,186,175,158,144,158,175,160,159,147,131,114,93,64,69,163,182,177,178,169,171,175,177,177,179,181,177,211,201,192,175,155,152,169,167,148,146,129,113,99,67,82,167,184,179,180,179,170,172,175,177,178,180,181,181,217,203,199,177,164,163,175,159,143,130,113,104,72,81,175,185,181,182,181,181,170,172,175,178,180,181,175,197,221,208,203,176,170,174,168,147,130,109,104,78,75,171,188,182,182,182,182,182,171,172,175,177,181,182,176,209,210,207,200,174,172,169,157,132,111,98,85,68,154,187,184,184,184,183,183,183,171,173,176,178,181,180,181,209,193,190,185,168,165,166,143,116,102,93,64,135,191,184,186,185,184,184,183,183,172,174,177,180,182,176,185,207,185,173,169,155,163,162,124,111,102,72,91,184,188,187,185,186,184,184,183,183,172,175,178,179,184,170,196,207,176,169,165,152,156,140,113,107,87,64,140,191,188,188,185,185,185,185,184,183,173,176,178,181,181,171,211,201,164,162,166,152,142,126,107,98,67,81,173,190,188,188,188,187,186,185,185,183
23,125,128,129,134,139,144,147,151,153,155,157,159,160,163,164,165,166,165,166,166,165,165,164,164,162,162,161,162,126,130,130,135,141,144,149,150,152,156,158,160,162,163,164,166,167,166,166,166,166,166,166,165,165,164,163,163,126,130,131,136,142,145,149,151,154,158,159,161,164,164,165,167,168,167,166,166,168,167,166,166,166,166,165,164,127,131,132,137,142,146,150,153,155,159,160,163,165,167,167,167,167,167,168,169,171,171,172,169,166,165,165,165,128,131,134,138,144,149,152,155,157,161,162,164,165,167,169,169,170,170,169,170,167,150,145,160,170,168,167,166,130,132,134,140,145,150,154,157,159,161,164,165,166,167,169,172,172,170,169,167,160,148,139,130,153,156,170,167,130,132,133,140,145,151,154,157,159,162,165,166,168,170,171,171,173,177,163,170,164,126,150,143,110,85,172,168,130,134,137,142,146,151,155,158,160,164,166,168,171,172,174,173,180,175,132,141,109,59,109,95,81,133,174,168,132,136,138,142,148,152,156,160,163,165,168,170,171,174,173,179,179,170,108,50,99,143,175,160,168,178,172,172,134,137,139,144,149,152,156,159,163,166,169,170,171,174,174,185,174,171,107,82,192,176,178,178,176,173,173,173,134,136,140,144,149,155,158,161,165,166,169,171,172,171,172,178,165,167,146,146,164,137,117,172,176,174,174,174,135,137,141,146,151,156,160,163,165,168,171,172,177,161,157,154,166,172,173,181,167,141,55,137,187,174,175,174,136,138,141,146,152,156,161,163,165,169,171,179,181,157,136,136,143,141,134,150,144,129,56,121,190,174,175,175,137,138,140,148,153,157,161,164,166,170,171,183,174,145,116,106,147,157,147,133,114,118,65,111,192,176,177,176,138,139,141,148,154,158,162,165,169,170,176,188,175,143,120,116,127,147,152,159,141,102,50,100,192,177,178,178,138,139,143,149,155,159,162,167,170,170,185,189,177,160,158,158,138,114,103,116,127,99,31,108,197,177,179,179,139,140,144,151,156,160,164,169,171,173,191,188,177,159,159,147,161,141,115,103,75,62,32,102,180,182,180,179,138,140,145,152,156,160,165,169,170,188,193,194,170,145,141,109,158,160,127,97,65,40,66,109,126,194,179,181,138,140,145,151,156,161,167,164,182,201,193,184,139,96,100,82,87,134,140,86,49,45,72,97,57,132,192,180,140,142,146,151,157,164,162,176,204,201,186,161,137,97,53,62,81,169,157,76,48,44,71,68,37,36,175,185,141,142,145,152,157,160,170,202,204,192,174,150,135,104,46,82,142,163,126,59,42,38,69,60,48,27,143,193,142,143,145,152,158,158,200,207,196,179,158,154,133,90,43,39,73,92,75,37,34,57,67,60,35,63,175,186,142,144,146,153,154,177,213,201,191,172,157,148,118,87,59,30,35,44,51,48,41,70,66,49,88,175,190,184,141,140,150,155,162,211,200,194,181,161,148,133,106,79,50,46,68,75,71,66,52,45,68,134,194,190,185,186,139,142,131,123,200,207,189,182,166,150,136,119,92,68,45,61,81,83,76,58,44,97,180,195,186,186,186,185,138,149,70,28,192,203,179,167,148,133,121,105,81,62,51,70,75,69,43,54,148,196,191,185,187,186,186,186,143,123,41,29,62,147,168,149,138,126,114,96,76,53,50,64,59,37,66,167,199,187,188,188,187,187,186,186,144,69,26,34,28,38,87,110,111,107,95,86,58,30,31,41,43,91,182,198,187,190,190,190,189,187,187,187
17,181,182,183,186,189,191,192,195,196,196,197,199,200,201,203,205,204,205,205,206,207,207,207,207,206,207,207,206,182,183,185,189,190,191,193,196,196,197,199,200,201,203,203,205,206,206,206,206,207,208,209,209,209,210,210,209,183,184,188,191,193,194,194,197,198,199,201,202,202,205,205,206,207,208,208,207,209,209,209,210,210,211,212,211,185,186,189,191,193,195,196,197,199,201,202,202,204,206,207,207,209,210,210,210,212,210,210,212,211,212,212,212,184,187,190,192,194,196,197,198,200,201,203,204,205,207,208,209,210,210,207,214,211,211,213,212,212,213,213,212,185,187,190,191,195,197,198,199,202,201,204,206,206,207,209,210,209,214,191,168,170,163,217,213,213,214,214,214,186,188,190,193,195,198,199,201,202,204,205,206,206,208,210,211,209,220,216,150,119,140,217,213,215,215,214,215,187,189,192,195,196,198,200,202,205,207,208,208,210,211,210,212,212,221,225,171,111,148,225,214,216,215,214,215,188,190,192,195,197,198,201,203,205,206,207,209,210,208,215,213,213,217,232,192,123,168,227,215,216,215,215,217,188,190,194,197,198,200,204,204,204,206,207,207,213,193,176,218,214,218,232,191,138,199,223,218,218,217,216,217,188,192,195,196,199,201,203,204,206,207,208,211,219,204,157,166,217,231,227,184,142,209,222,219,219,218,218,217,189,192,195,197,200,202,204,205,205,211,200,179,213,221,206,186,162,194,219,186,140,208,224,220,219,220,218,218,189,192,196,198,200,203,206,204,210,235,199,148,191,219,234,221,169,125,181,179,142,207,225,221,220,219,220,219,190,194,197,199,201,204,207,204,220,205,210,181,180,165,205,237,202,135,140,162,136,204,225,221,220,220,221,220,191,194,198,200,202,203,207,204,229,195,165,170,137,103,146,252,220,158,122,138,126,204,227,222,221,221,221,220,193,195,197,200,202,205,207,209,225,184,151,168,144,131,145,248,235,182,124,128,120,201,227,222,222,222,221,221,192,195,198,201,203,206,206,215,230,203,187,176,154,177,162,236,239,193,138,124,121,195,229,222,223,223,222,222,192,195,199,202,203,206,204,225,222,184,177,171,166,186,212,236,220,200,148,119,118,197,230,222,225,224,223,223,194,196,199,201,205,208,206,233,209,181,171,172,180,200,255,235,200,188,146,114,110,199,231,224,225,224,224,224,195,197,198,202,205,208,206,240,212,189,174,174,183,241,251,231,198,177,141,113,112,209,229,226,224,225,225,225,194,197,199,203,204,206,211,243,215,199,176,174,209,255,236,224,189,170,135,110,129,229,225,225,224,225,225,225,194,196,201,204,206,204,218,245,216,207,190,176,230,253,231,221,181,158,132,104,169,235,223,225,225,225,223,223,194,197,201,204,209,206,223,251,219,216,207,185,233,241,223,216,183,146,125,113,212,229,225,227,227,227,225,225,195,198,203,205,208,206,219,255,227,221,214,195,219,235,220,209,177,143,112,152,236,224,226,226,228,227,226,225,195,198,203,206,209,208,214,252,235,217,206,204,208,224,215,218,174,138,109,185,235,223,225,227,227,226,226,226,196,198,203,206,208,211,211,247,230,216,200,203,211,212,213,219,174,136,114,204,233,227,228,228,228,227,227,228,196,199,202,204,208,209,214,245,228,217,201,201,212,210,213,209,165,132,135,229,229,228,229,229,228,228,228,227,195,197,200,204,209,208,218,248,238,218,207,210,217,203,209,196,154,121,179,237,227,228,228,228,228,229,229,227
5,170,172,171,172,174,175,176,176,177,177,178,178,176,178,182,178,178,178,176,176,175,173,171,171,171,169,167,166,174,174,175,176,178,179,180,179,180,181,182,181,182,180,164,180,180,180,180,179,178,177,175,174,173,172,172,170,179,179,180,180,182,183,184,183,185,187,186,189,186,195,123,162,190,184,184,183,181,180,180,178,178,176,175,172,182,183,184,185,186,186,187,187,190,190,187,158,176,211,128,139,199,187,188,186,186,185,184,182,181,180,179,177,186,187,189,189,190,191,191,193,193,191,201,142,139,220,127,120,205,190,191,190,189,187,187,187,185,183,182,180,189,190,192,191,194,196,197,196,197,193,212,159,124,219,122,119,209,193,194,194,192,191,190,190,189,187,186,183,193,192,195,196,197,198,193,198,200,197,217,164,112,216,135,127,211,196,199,199,196,194,193,192,192,191,188,187,196,197,198,200,199,204,165,162,210,197,219,173,112,212,129,135,214,200,203,203,206,199,196,196,196,193,192,191,199,201,202,203,201,212,173,125,211,200,221,177,104,205,115,141,216,203,204,194,168,197,201,198,197,196,196,195,202,204,204,205,204,216,194,104,208,205,218,172,88,207,138,143,218,203,209,200,141,153,214,202,200,200,199,198,203,205,206,206,208,213,194,102,205,210,212,188,94,185,153,144,218,198,189,176,198,157,181,206,204,203,201,199,205,207,208,209,212,213,218,114,185,216,206,201,95,147,160,152,213,206,162,85,179,174,133,208,207,205,203,202,209,209,211,212,212,214,223,151,150,220,209,205,98,134,159,154,205,204,153,144,200,141,161,217,208,207,205,203,211,212,213,212,214,213,208,213,168,179,202,188,132,149,145,131,178,178,146,209,193,117,205,212,210,209,207,205,211,214,214,215,216,219,201,220,204,163,166,164,140,143,136,133,181,171,159,218,162,110,221,211,213,211,210,210,214,217,217,218,217,221,214,216,229,187,156,154,127,133,133,135,176,168,177,227,128,115,229,214,214,214,213,212,216,217,218,220,221,221,222,218,246,210,143,138,118,115,129,140,172,161,180,231,125,141,233,214,216,215,214,213,216,218,220,220,220,221,221,222,247,218,147,110,113,111,125,158,179,149,173,229,134,155,232,216,218,219,217,213,218,219,220,221,222,222,222,223,244,214,156,110,112,111,148,168,193,196,166,214,137,161,233,217,220,219,218,215,220,220,221,223,225,225,225,220,241,210,159,114,105,125,163,182,209,214,175,175,114,157,236,220,220,219,218,218,219,221,222,225,226,226,228,219,239,213,167,115,106,135,180,204,206,206,178,128,78,146,238,221,223,221,219,218,221,223,224,226,226,227,229,220,234,215,168,120,108,133,193,217,213,192,150,98,64,184,234,223,226,223,220,220,223,225,226,226,227,229,230,221,223,214,166,124,116,130,205,222,199,169,131,71,132,238,225,227,227,225,221,220,224,226,226,227,227,229,232,217,208,211,165,136,124,130,201,202,180,152,104,87,223,234,227,227,227,226,223,221,223,224,226,227,228,229,234,219,203,201,158,149,124,130,183,188,171,133,67,165,244,229,230,229,227,227,224,221,222,223,225,226,227,228,230,222,199,191,160,150,118,127,171,173,148,81,104,237,232,232,229,229,228,227,226,224,222,224,226,227,227,228,232,220,206,195,161,147,124,110,151,135,95,81,213,236,230,231,228,229,227,227,225,224,223,225,227,227,227,229,234,215,210,186,141,137,123,102,127,98,68,182,244,230,233,230,230,231,227,226,225,223
2,147,147,149,150,150,150,151,151,151,151,150,149,148,148,148,148,147,146,146,142,143,143,141,139,138,136,135,134,149,150,150,152,152,152,153,153,152,152,151,150,152,153,153,152,151,151,150,149,143,143,142,141,140,138,136,135,151,152,153,153,153,154,154,154,154,153,153,154,144,135,139,138,130,125,119,131,151,144,142,142,141,140,138,137,153,153,153,154,155,155,155,155,156,154,155,147,128,123,126,125,116,98,83,74,114,147,147,143,142,141,139,138,154,154,155,156,156,157,157,156,157,158,149,129,128,132,123,125,129,93,87,97,99,101,124,145,143,142,141,139,155,156,156,157,158,158,158,158,159,159,151,141,133,119,107,106,98,56,62,83,90,65,61,139,147,143,141,140,156,156,157,159,159,160,160,161,161,156,151,144,128,105,85,70,81,113,129,106,87,69,101,149,145,144,142,141,156,157,159,159,159,162,162,162,159,141,140,127,99,58,39,82,163,160,159,159,154,150,154,149,146,145,143,141,158,159,160,160,161,162,163,163,156,139,128,95,58,43,36,124,166,155,155,153,153,153,149,149,147,146,144,142,157,159,161,162,162,162,164,164,155,139,99,54,40,32,70,163,159,159,157,155,154,152,152,154,153,147,145,144,159,160,162,163,163,164,165,161,156,138,93,42,40,28,111,170,158,160,158,156,154,156,150,127,120,143,147,145,160,161,162,163,165,165,165,158,156,131,88,42,49,39,106,171,159,161,160,157,157,151,105,77,67,108,152,144,160,161,162,165,166,167,165,158,152,124,70,46,55,41,117,172,161,161,160,160,156,110,87,88,71,104,155,144,161,162,164,166,166,167,164,160,152,117,74,61,54,40,137,170,161,163,161,162,116,84,92,81,71,141,151,147,161,164,165,165,167,168,161,160,151,121,83,65,51,38,99,178,165,161,168,129,70,76,85,63,108,159,149,149,162,164,164,166,167,170,161,158,149,119,86,65,50,50,50,95,151,171,133,88,71,71,67,68,154,153,151,149,163,164,167,167,166,169,161,156,143,117,93,64,50,51,56,52,74,104,73,75,85,66,60,136,158,152,152,150,164,166,167,168,169,168,159,156,143,118,87,62,49,51,55,63,66,60,63,74,67,68,143,162,153,154,153,149,163,166,167,168,170,168,156,160,153,115,87,66,49,53,57,60,68,71,64,69,65,147,164,155,155,155,152,150,165,166,167,168,169,166,154,166,149,110,86,67,50,53,58,61,67,73,65,47,132,169,156,156,155,154,153,151,166,167,168,169,171,162,158,165,140,104,85,70,50,53,61,65,68,70,53,106,169,160,159,158,157,155,154,153,166,167,168,170,172,160,159,159,133,100,87,70,51,54,64,68,71,57,70,170,163,161,161,160,158,156,154,153,166,167,169,170,171,158,160,151,124,102,88,69,51,54,67,65,65,41,132,172,163,163,161,160,159,157,155,154,166,168,170,171,171,157,154,139,117,98,83,66,50,54,65,64,41,92,175,165,165,164,162,160,159,158,155,154,166,167,169,170,169,158,147,135,114,96,81,64,51,55,63,43,77,170,168,166,165,163,162,160,159,158,155,154,166,168,169,171,167,156,139,129,107,90,76,62,52,50,38,82,168,172,167,167,166,165,163,161,159,158,156,154,166,168,170,169,167,152,137,126,104,87,71,60,43,55,126,174,172,168,168,168,166,165,164,161,160,159,157,154,166,168,169,167,165,148,134,122,106,84,67,51,40,141,185,169,169,171,168,168,165,164,163,161,159,158,156,154
21,131,138,143,143,146,151,155,158,160,163,164,166,167,169,170,170,170,174,172,170,171,169,169,167,166,165,165,165,132,138,143,145,148,152,156,159,162,164,165,166,169,171,172,173,174,147,166,173,171,170,171,170,169,167,166,165,133,139,145,146,150,153,157,160,163,167,167,168,170,173,172,179,190,99,126,181,170,172,172,171,168,167,168,168,133,140,145,145,150,155,159,161,163,167,168,169,172,174,173,183,188,102,126,184,174,174,174,171,171,171,170,170,135,142,145,146,151,156,160,163,164,166,169,171,173,174,173,187,181,108,128,185,174,175,175,161,126,162,174,169,137,142,146,148,154,158,160,165,165,167,171,173,174,175,174,192,181,109,130,187,177,178,174,146,90,151,178,171,137,143,147,149,153,158,161,166,168,171,173,174,176,178,176,193,181,116,131,188,178,177,171,139,97,169,175,174,136,143,148,149,153,158,163,166,170,172,174,175,177,180,177,193,179,118,125,188,177,177,166,127,110,182,175,175,137,145,149,150,155,159,164,167,171,173,174,176,179,180,177,195,179,122,115,189,179,176,165,114,137,184,176,177,138,145,148,151,157,161,166,169,172,174,176,178,179,181,177,204,188,119,120,191,177,169,156,101,161,182,178,177,139,147,151,152,158,162,165,169,172,174,176,178,178,182,180,206,178,112,131,192,171,170,133,104,180,180,178,178,139,149,152,153,158,163,165,169,172,174,176,179,182,172,182,198,154,99,130,191,173,172,109,130,190,179,180,180,139,149,153,153,159,164,166,170,173,176,177,188,167,131,140,162,120,86,131,187,180,157,96,164,189,181,181,181,141,149,153,154,159,164,167,172,176,177,178,187,165,125,111,91,88,94,141,173,171,128,104,187,185,183,183,182,141,150,153,155,161,165,168,173,175,176,183,185,177,168,148,111,73,101,133,147,145,98,134,196,184,186,185,184,141,150,153,155,162,165,169,174,178,177,192,205,190,212,178,133,82,82,101,113,117,88,165,194,186,187,187,185,143,152,154,155,162,167,170,174,176,182,184,174,189,197,165,112,89,80,87,98,98,99,187,190,187,188,187,186,144,151,154,156,162,166,172,175,176,191,175,139,183,147,154,127,100,88,79,87,84,114,196,189,188,188,187,187,143,150,153,157,162,167,172,177,177,191,196,161,132,89,145,152,114,92,86,82,78,118,198,190,190,189,188,187,144,152,154,157,163,168,172,177,177,194,183,135,113,98,119,166,131,105,91,87,76,109,200,192,192,191,189,189,145,152,153,157,163,169,173,178,177,202,181,151,156,126,152,193,141,130,103,89,82,113,199,193,192,192,190,190,145,152,153,157,164,168,174,178,179,208,186,173,149,139,216,200,147,138,110,94,85,119,201,194,193,193,193,190,145,151,155,159,165,169,174,179,180,205,205,178,139,180,220,181,141,128,115,99,88,124,201,194,195,195,194,192,146,151,154,158,163,168,174,178,179,207,211,164,151,186,210,173,149,121,115,104,88,141,203,194,195,194,193,192,144,150,153,156,161,168,173,175,176,203,188,159,164,177,209,174,161,132,102,102,87,152,201,193,195,194,192,191,144,150,152,155,162,168,173,176,176,195,173,178,172,167,209,172,150,134,105,101,92,161,202,194,195,194,193,192,144,150,151,156,163,169,174,177,180,187,179,204,170,174,198,161,134,117,105,100,95,173,202,195,195,193,194,193,144,150,152,156,162,169,174,177,180,182,187,193,161,156,182,150,121,106,101,94,94,182,199,195,196,194,194,194
19,79,83,88,93,102,110,116,122,126,129,131,135,138,141,144,146,149,150,152,154,156,158,158,160,161,162,163,163,79,83,88,94,103,110,117,123,127,130,132,135,139,142,145,149,150,152,154,156,157,159,160,162,163,164,165,165,80,85,90,96,105,113,119,125,130,131,134,137,140,143,146,150,152,154,157,158,160,161,162,164,165,166,167,167,81,86,93,98,106,115,121,127,131,133,136,139,143,147,150,153,155,157,158,160,163,164,166,166,168,168,168,169,82,87,93,99,108,116,123,129,133,135,137,141,144,148,151,155,156,160,160,162,164,166,166,167,169,170,175,161,82,88,94,100,109,118,125,130,134,136,139,142,147,150,163,159,139,148,163,164,165,168,169,170,170,185,185,116,83,88,95,101,111,119,127,132,136,137,141,144,148,151,189,167,129,110,155,166,167,169,176,179,185,182,137,101,83,89,95,102,112,120,128,134,137,139,142,146,149,151,182,180,140,125,160,176,171,173,184,182,164,129,109,147,84,90,95,103,114,121,128,135,138,141,147,143,148,155,170,181,171,173,174,172,162,150,158,146,115,118,154,177,85,91,96,104,115,123,130,136,139,165,176,149,142,148,161,167,161,153,145,147,134,116,118,122,144,171,178,178,86,91,96,105,115,124,131,137,143,189,168,151,151,157,167,167,157,145,138,126,122,102,155,173,180,180,181,180,86,92,97,106,116,124,132,136,154,180,148,143,151,163,169,166,162,153,133,100,93,112,179,180,181,182,182,181,87,93,98,107,117,125,132,135,169,178,154,151,156,155,148,143,142,127,109,89,78,132,182,181,182,183,183,183,88,94,99,108,118,126,133,140,201,193,172,167,166,160,156,149,132,94,85,84,81,152,184,183,184,184,185,185,89,94,99,110,120,128,135,145,202,189,169,154,146,150,152,145,122,88,79,86,90,165,183,184,185,186,187,187,88,94,100,111,120,129,137,145,187,180,156,134,114,109,122,123,116,91,82,86,109,179,184,184,185,186,188,188,90,94,100,112,121,130,137,143,178,178,154,112,93,71,70,101,118,94,84,89,109,182,185,185,186,187,188,189,90,94,101,113,123,132,139,142,175,180,154,113,82,53,84,113,115,89,83,84,92,172,186,186,187,189,190,190,90,94,102,114,123,132,140,138,173,182,156,124,98,71,74,82,77,70,75,83,90,166,188,187,188,189,190,190,91,95,103,114,124,133,141,137,176,184,158,130,104,89,77,65,63,72,78,84,93,168,190,189,189,190,191,190,91,95,104,115,125,134,142,137,176,183,157,130,107,96,92,79,70,74,80,84,100,176,189,190,192,192,192,192,92,96,105,117,126,134,142,138,168,176,152,127,106,96,93,82,73,78,83,86,118,186,189,192,193,192,192,193,92,96,106,117,128,135,143,138,166,171,148,122,104,95,91,84,79,83,87,88,148,191,192,193,193,194,194,195,90,96,107,118,128,136,143,144,170,167,143,118,102,93,92,89,86,86,88,110,179,190,192,193,194,195,195,195,91,97,108,118,128,137,142,147,178,166,139,114,99,94,95,92,87,87,116,168,188,190,192,194,194,195,196,196,92,97,109,120,129,138,142,150,176,161,140,119,103,97,96,92,86,109,173,187,189,191,193,195,195,196,196,196,92,98,109,120,130,139,143,157,169,154,137,120,103,92,88,87,85,142,185,189,191,193,194,196,196,197,197,198,92,97,108,120,131,140,144,172,169,150,129,111,96,85,82,84,88,157,186,190,192,193,195,196,196,197,199,200
17,150,152,153,155,157,158,159,160,162,163,163,165,166,167,168,169,169,170,171,171,171,172,171,171,172,172,171,171,150,152,154,156,158,159,160,161,163,164,164,165,167,168,169,170,169,168,169,169,171,172,172,172,173,172,172,171,150,152,155,157,159,160,161,162,163,165,165,166,167,169,170,171,163,149,146,144,166,173,173,173,174,174,173,172,151,153,155,158,160,161,162,163,165,166,166,167,168,170,171,174,168,133,110,114,158,174,175,175,174,174,174,173,152,154,156,158,160,162,163,165,167,167,168,169,170,172,172,176,178,141,101,106,160,175,176,175,175,175,175,174,152,155,157,159,160,162,164,166,167,168,169,170,171,173,174,177,182,153,110,115,167,177,176,176,175,176,176,174,153,156,158,159,162,164,165,166,167,169,170,165,159,170,175,178,185,160,121,133,174,178,178,177,176,177,177,176,155,157,158,160,163,164,166,167,169,169,172,164,143,149,170,180,185,158,126,145,176,179,179,178,178,177,177,177,156,157,159,161,163,165,166,168,167,161,169,171,154,143,151,165,177,155,126,146,177,179,179,179,179,178,177,176,156,158,159,162,164,165,167,175,166,141,150,172,176,168,143,126,146,147,125,146,178,180,180,179,179,179,178,178,157,159,160,163,165,166,171,176,166,141,142,154,168,181,160,119,115,127,118,144,179,181,180,180,180,180,180,179,158,160,161,164,166,168,174,170,154,142,126,116,126,179,179,135,103,107,107,140,179,182,181,181,181,180,180,180,158,160,162,164,166,168,176,164,134,127,113,97,106,170,190,152,106,95,98,136,179,183,182,182,181,181,181,181,158,160,163,165,167,170,179,165,142,133,121,114,123,167,195,163,117,93,95,131,178,183,183,183,182,182,182,181,159,161,164,166,167,173,182,165,147,137,129,135,149,176,191,166,126,94,92,129,178,183,183,184,183,183,182,181,159,161,164,167,168,177,179,155,140,135,137,150,178,194,180,160,128,93,87,128,179,184,184,184,184,183,182,180,159,161,164,167,169,182,180,156,141,135,143,166,199,198,173,150,122,90,84,130,180,185,185,184,184,184,183,181,159,162,164,167,170,187,183,161,145,137,151,185,202,191,167,142,116,89,88,143,183,185,185,184,184,184,184,183,160,162,165,167,171,191,185,167,153,143,164,197,199,186,161,133,110,88,101,161,185,185,185,185,184,184,184,183,160,163,166,168,173,195,188,174,164,152,171,197,192,181,158,127,104,89,123,177,185,185,186,186,185,184,184,183,161,164,167,169,174,197,193,180,172,161,171,192,186,175,154,122,98,96,150,184,185,185,186,186,185,184,184,185,161,164,167,169,172,195,197,183,174,166,169,183,180,174,151,117,94,109,170,186,185,185,186,186,185,185,185,185,162,165,167,170,172,190,197,182,170,165,168,176,174,175,153,115,94,122,178,186,186,187,187,187,186,186,186,185,163,165,167,170,172,189,194,181,169,163,167,173,171,173,149,114,99,141,184,187,187,187,188,188,187,187,186,185,162,164,167,170,173,191,197,184,171,167,170,172,167,167,138,108,110,163,186,187,187,187,187,188,187,187,186,185,161,164,167,170,175,197,201,183,172,173,174,167,158,155,126,103,132,179,187,188,188,188,188,188,188,188,187,186,162,164,168,170,177,200,197,176,171,175,174,159,147,142,113,106,158,186,188,188,188,188,188,188,188,188,187,186,163,165,168,170,178,201,194,172,171,175,171,154,142,131,106,116,173,187,188,188,189,189,188,188,189,188,187,187
22,9,41,58,57,61,64,66,76,89,97,102,104,107,110,113,115,119,119,120,125,124,124,125,124,124,125,124,123,8,45,58,59,62,65,67,77,89,98,103,105,108,111,114,117,119,120,125,110,120,126,126,128,125,125,124,123,10,49,58,60,63,66,67,78,91,100,104,107,109,112,116,120,120,122,136,74,101,133,122,116,129,127,126,125,13,53,59,60,63,66,69,79,92,100,105,108,111,112,118,121,119,128,137,72,106,136,108,78,130,127,127,126,18,54,59,61,64,67,70,81,92,101,104,121,122,75,118,122,120,137,138,70,114,144,99,79,134,129,128,128,22,56,58,62,65,67,71,82,94,104,105,123,113,59,114,125,120,145,133,72,123,149,94,90,138,131,130,129,27,59,60,63,66,68,72,83,96,104,108,117,118,64,105,128,123,142,120,72,132,149,88,106,138,132,132,131,32,60,60,63,66,68,72,85,96,105,111,114,122,72,92,131,126,136,108,69,138,144,78,117,138,132,133,133,36,60,61,64,67,70,73,86,97,106,112,113,123,84,79,129,129,132,98,73,151,125,69,128,138,135,136,135,40,61,61,64,68,69,73,87,99,107,112,111,124,90,61,119,132,120,91,75,157,107,76,139,137,137,138,136,45,62,61,65,67,69,75,88,100,108,113,111,125,115,69,103,129,107,78,88,156,91,85,143,137,139,139,137,49,61,61,64,67,70,75,89,99,107,113,112,125,136,80,79,115,106,93,132,143,78,98,145,138,139,140,139,54,62,62,64,67,70,76,90,100,108,113,124,103,110,70,70,101,122,146,150,123,69,114,146,139,140,140,140,57,62,62,65,67,70,76,90,100,108,118,132,102,90,73,85,106,135,152,143,111,67,129,144,141,142,142,141,58,62,63,65,68,71,78,90,100,109,116,121,134,134,102,62,83,119,136,136,110,66,136,145,143,142,142,142,60,61,62,65,69,70,77,92,101,110,116,129,143,148,99,67,66,89,108,117,97,65,137,147,144,144,144,143,61,62,63,64,68,70,78,92,102,111,113,143,132,115,106,92,70,70,76,79,86,63,128,149,146,146,145,145,62,62,63,65,69,71,78,92,103,112,114,142,130,106,118,113,91,74,68,60,72,61,121,152,146,148,146,146,64,63,63,65,68,71,78,93,102,112,113,146,142,117,109,119,111,102,82,60,61,59,119,153,147,149,148,148,63,62,62,65,67,70,80,93,103,114,114,146,147,124,111,156,120,112,86,65,63,58,120,154,148,149,149,148,62,62,61,64,67,70,80,94,105,114,115,137,159,119,126,173,125,103,82,70,68,61,126,155,149,150,149,149,63,63,62,64,67,70,80,94,104,114,116,129,153,110,136,160,125,101,83,76,69,64,135,154,151,151,151,151,63,63,63,64,67,72,82,95,104,114,117,123,141,114,132,147,130,111,85,74,71,67,135,154,151,152,152,152,63,63,63,66,68,71,83,95,105,113,118,120,132,129,133,140,125,105,84,72,71,67,135,155,153,154,155,154,63,62,63,65,68,71,83,95,106,114,118,120,127,138,126,127,118,89,78,73,70,62,133,158,154,155,155,154,64,61,62,64,67,70,83,95,106,115,117,119,126,135,117,110,114,82,78,75,68,54,123,160,154,155,155,154,63,61,61,63,66,70,82,95,105,114,116,120,127,128,104,109,127,115,97,77,69,53,103,160,152,154,154,153,61,59,60,62,64,68,80,94,105,113,116,120,126,131,131,136,136,124,113,84,66,55,74,152,152,154,154,153
20,127,131,135,140,143,143,145,148,149,151,152,153,154,154,154,155,155,155,155,155,154,154,153,153,153,151,150,148,129,133,137,141,144,145,148,149,151,153,154,155,156,156,157,156,156,159,158,157,156,155,155,155,155,153,153,150,131,134,139,142,145,147,150,151,153,155,155,157,159,160,156,177,151,138,161,161,159,158,159,159,157,155,155,153,134,136,141,145,147,150,152,153,155,157,158,160,160,162,154,194,147,118,152,135,166,160,161,161,159,159,157,155,136,139,142,147,149,152,155,155,157,158,160,161,162,165,158,193,145,141,170,102,165,163,162,162,162,161,159,158,137,141,144,148,151,153,156,158,159,160,163,163,163,165,160,200,161,144,188,104,159,167,164,164,164,163,161,160,139,142,146,150,152,155,158,160,161,164,164,164,167,167,163,207,161,147,200,117,154,170,167,167,167,165,164,162,140,144,147,151,154,157,160,162,162,164,166,167,165,166,173,204,149,162,200,118,148,175,169,169,168,166,165,164,143,146,149,153,156,159,162,164,166,167,168,168,187,179,156,206,148,172,196,109,147,177,169,170,170,168,167,167,144,148,152,155,158,161,163,166,167,168,166,176,219,197,124,128,133,170,191,109,154,177,173,171,172,170,169,168,146,150,154,156,160,163,166,168,167,172,208,199,145,167,152,114,103,138,164,111,160,179,175,173,173,172,170,169,148,151,155,158,161,165,168,170,166,190,201,194,177,152,179,188,147,93,120,104,165,179,175,174,174,173,171,170,149,153,156,160,163,167,168,171,168,194,176,113,149,95,137,198,161,97,85,89,167,179,177,176,176,176,174,173,150,154,158,161,164,168,169,173,169,197,166,106,96,72,72,168,193,131,81,80,166,182,179,179,177,178,176,174,151,154,159,162,166,168,170,174,171,200,189,160,121,95,91,126,217,166,95,73,169,185,181,180,179,179,178,176,153,155,160,164,166,170,173,175,172,209,203,145,110,102,118,127,218,193,121,70,161,188,182,182,181,180,180,178,154,157,162,166,168,171,174,177,174,210,190,138,118,122,128,166,221,197,143,79,154,190,182,183,182,182,181,179,155,158,162,165,168,172,175,178,176,211,200,156,136,138,147,205,221,186,147,84,154,192,184,185,184,183,182,181,155,160,163,166,170,172,176,180,177,211,208,171,140,153,171,221,218,179,139,88,156,195,186,186,185,184,184,182,155,159,163,166,170,173,177,181,177,209,216,181,152,158,192,221,207,174,135,86,158,195,186,187,186,185,185,184,155,160,164,167,169,173,177,181,177,207,219,183,171,161,204,219,193,169,127,80,154,196,186,187,185,185,185,183,158,162,167,168,171,175,179,183,180,200,220,192,189,173,197,213,184,162,126,72,153,197,186,188,187,186,187,182,159,162,165,168,173,176,179,183,182,191,218,201,196,187,176,196,167,155,116,69,157,198,188,189,189,186,188,191,159,162,166,170,173,175,179,183,184,183,213,211,195,176,157,173,149,154,113,71,174,196,189,191,189,194,188,149,162,165,168,173,175,178,180,184,193,192,213,210,183,149,133,154,146,149,98,85,196,192,190,189,197,175,105,69,151,157,162,166,171,176,180,179,141,115,196,199,159,133,123,158,145,137,70,135,212,196,198,202,172,92,71,64,101,102,105,106,108,110,113,120,57,0,153,206,166,131,131,173,128,108,52,70,137,142,143,146,90,62,61,50,76,81,84,85,83,81,83,97,104,49,96,188,162,133,148,173,100,80,30,2,61,83,84,92,71,46,42,45
1,112,114,117,119,120,122,123,123,122,123,124,125,125,126,125,125,125,126,128,126,126,126,127,125,124,124,124,124,116,118,121,123,124,124,124,126,126,127,128,128,128,127,130,129,131,128,117,129,129,129,130,129,128,127,128,127,120,122,125,128,127,128,128,130,130,132,133,132,131,135,109,122,145,139,66,126,135,132,131,132,131,130,129,128,123,125,129,130,130,131,133,133,133,133,134,132,141,155,76,106,154,127,58,129,130,136,135,134,133,132,131,130,127,129,134,134,135,136,137,136,137,138,138,135,153,148,69,117,156,107,67,139,101,98,144,135,137,135,135,134,131,133,137,138,140,140,140,139,140,142,136,104,148,133,69,131,156,92,76,149,106,66,147,139,139,138,137,136,133,136,140,141,142,143,144,144,143,155,135,79,124,122,75,143,163,95,95,159,107,66,146,143,142,142,141,140,137,140,142,143,143,147,148,148,145,163,125,75,120,119,86,146,153,90,108,163,97,70,150,145,144,144,143,142,140,142,144,146,148,151,149,149,148,163,110,80,115,101,79,132,136,80,120,167,96,77,156,148,148,147,146,144,142,145,147,149,150,152,153,151,151,169,113,89,108,103,61,140,134,77,140,163,94,87,163,152,151,150,150,149,145,147,149,152,153,154,155,155,156,170,103,80,110,121,64,153,139,83,153,148,87,100,164,153,156,155,153,152,148,150,151,154,155,156,156,155,160,175,123,74,96,106,57,144,116,89,164,154,84,116,166,155,157,156,155,155,150,152,155,156,157,158,158,156,161,174,117,63,93,90,59,126,92,103,167,146,80,132,168,159,160,158,157,156,151,154,156,159,161,161,162,159,166,176,128,96,120,147,135,146,145,99,122,142,74,146,167,163,162,161,159,158,152,155,157,160,163,162,164,160,175,176,134,107,80,117,157,154,156,125,75,105,75,160,167,164,163,162,162,162,155,157,160,161,162,164,165,162,182,162,120,90,66,61,92,107,164,164,100,45,75,171,166,167,167,165,163,162,156,158,162,163,164,166,166,166,188,163,121,82,73,78,85,110,171,183,145,51,90,180,166,168,168,167,165,164,158,162,163,166,167,168,168,170,190,161,114,87,87,90,121,154,145,174,154,77,101,183,168,170,169,168,169,168,161,163,165,167,168,170,169,174,189,156,118,86,97,96,147,176,158,138,122,86,71,174,171,171,170,169,169,169,162,165,166,167,167,169,170,178,186,158,123,100,103,115,173,178,153,130,93,65,77,179,173,172,173,172,171,171,164,165,167,169,169,172,172,179,185,159,123,110,97,133,186,182,143,116,83,47,94,185,174,175,174,173,174,173,166,168,169,170,171,172,173,176,182,156,129,119,100,130,186,176,132,105,73,45,130,186,176,176,176,176,174,173,166,167,169,172,173,174,174,175,176,157,137,130,104,124,184,153,120,90,60,69,178,180,177,176,177,175,176,176,165,169,171,172,173,173,175,176,174,160,139,133,101,131,174,141,115,78,46,115,189,178,179,178,177,178,179,178,167,170,172,174,175,175,178,177,181,162,142,129,92,133,155,126,104,67,50,160,187,180,180,179,178,179,179,178,168,170,173,175,176,177,176,174,184,167,150,121,97,131,126,107,92,51,81,187,182,183,183,182,181,181,180,179,168,170,171,174,176,178,171,179,184,182,160,124,108,129,114,103,80,50,142,190,183,184,184,184,184,182,182,180,166,170,171,172,174,173,170,179,175,169,155,123,118,116,106,91,55,93,189,183,184,183,185,184,183,182,182,181
20,157,158,159,159,160,159,159,160,160,159,159,159,159,158,157,155,154,153,151,150,148,146,145,143,141,140,138,137,160,162,162,163,163,162,162,163,163,163,163,163,165,152,146,158,157,156,154,152,151,149,148,145,144,142,141,139,164,166,166,166,166,166,166,166,166,166,166,167,176,149,115,155,159,159,158,156,154,153,151,149,147,145,144,142,169,169,170,170,170,171,170,170,170,170,171,170,176,153,93,106,133,162,161,159,158,156,154,152,150,149,146,144,173,173,174,174,174,175,174,174,174,174,174,174,181,150,83,107,106,154,166,163,161,160,158,156,154,152,150,147,175,176,177,178,178,179,179,178,178,179,178,178,184,143,83,137,111,137,171,168,165,163,162,159,158,156,154,151,179,180,181,181,181,182,181,181,181,182,182,181,190,147,92,152,116,122,173,171,169,167,166,163,161,159,157,156,183,183,184,184,184,185,185,185,185,185,185,185,196,143,94,159,134,118,174,174,173,171,170,167,163,163,160,159,185,186,186,186,187,187,187,187,187,188,187,191,197,128,97,169,142,111,174,177,175,174,173,171,167,165,163,162,188,189,190,190,191,190,190,190,191,189,183,191,196,128,113,181,140,104,175,180,178,176,175,173,171,168,167,162,192,193,193,193,194,193,193,193,193,191,177,167,172,135,112,176,144,104,175,182,180,179,178,175,173,171,170,150,194,195,195,196,196,196,196,196,195,197,201,189,156,128,107,162,153,113,174,184,183,182,180,179,176,173,172,159,198,198,198,199,199,199,199,198,199,190,171,183,163,158,112,136,141,110,170,188,186,185,182,181,178,177,174,164,200,200,199,200,200,201,201,201,201,198,151,123,165,172,104,88,103,95,165,192,188,187,185,183,180,178,176,168,202,201,200,201,201,202,202,203,203,203,148,79,150,169,123,84,77,77,155,194,191,188,187,185,182,179,177,176,203,203,202,202,202,203,203,204,203,199,154,100,119,155,147,111,97,68,142,196,193,190,188,187,184,181,179,178,204,204,204,204,205,206,206,205,198,193,164,131,91,100,142,132,110,67,125,198,195,192,191,188,186,184,181,179,207,207,207,207,207,207,207,202,195,179,174,159,116,93,115,136,119,78,106,198,197,194,193,191,189,186,182,180,208,208,208,208,208,208,206,197,178,137,139,159,136,92,94,131,148,105,87,183,200,196,194,193,191,188,185,182,209,210,210,210,210,210,207,197,184,140,88,117,128,80,77,121,162,134,82,137,202,198,196,194,191,189,187,185,211,212,211,211,211,213,209,196,177,147,103,83,108,83,85,155,179,154,91,105,200,200,198,197,193,191,189,187,211,213,213,213,213,214,211,196,190,171,114,88,111,111,132,190,183,143,83,115,202,201,199,197,195,193,191,189,213,214,215,215,215,216,213,195,194,178,127,104,123,178,198,193,163,126,71,145,205,201,200,198,195,194,192,189,215,215,215,216,216,217,215,194,187,174,141,108,128,199,203,177,141,111,74,175,205,202,201,200,197,195,193,190,215,215,215,215,216,217,216,193,175,167,143,113,126,189,186,160,124,92,89,196,205,202,201,200,198,196,196,192,215,215,215,216,216,217,217,200,175,167,145,125,128,185,179,145,107,73,120,206,204,202,201,199,198,190,169,139,216,216,216,217,217,217,218,210,180,167,151,131,120,171,163,126,88,70,170,208,205,203,201,190,164,112,70,61,216,217,218,218,219,219,219,214,188,170,152,129,113,141,132,97,65,98,202,208,205,196,162,111,71,51,42,48
5,175,176,176,177,179,180,181,180,182,182,183,183,181,183,187,183,183,183,181,181,179,178,176,176,176,173,172,171,178,179,180,181,183,184,185,184,185,186,187,186,187,185,168,185,185,185,185,184,183,182,179,178,178,177,177,175,184,184,185,185,187,188,189,188,190,192,191,195,191,201,125,167,195,189,190,188,186,185,185,183,182,181,180,176,187,188,189,190,191,191,192,193,195,195,193,162,181,218,130,142,205,192,193,191,191,190,189,188,186,185,184,182,191,193,194,194,196,197,196,198,199,196,207,145,142,227,130,122,212,195,197,195,194,193,192,192,191,189,187,185,195,195,198,197,199,202,203,202,203,199,218,163,126,226,124,121,215,199,200,199,198,196,195,195,194,193,191,188,199,198,201,202,203,204,199,203,206,203,224,169,114,223,138,129,218,202,205,205,202,200,199,198,198,196,194,192,201,202,204,206,205,211,169,166,217,203,226,177,114,219,131,138,221,206,209,209,213,205,202,202,201,199,197,196,205,207,208,209,207,218,178,127,217,206,228,182,105,211,117,144,223,209,210,200,172,203,207,204,203,202,202,200,208,210,210,211,210,223,199,106,214,212,225,176,89,213,141,146,225,209,216,206,144,157,221,208,206,206,205,204,209,211,212,213,215,220,200,104,211,216,219,193,95,190,157,147,225,204,195,181,204,161,186,213,210,209,208,205,212,213,214,216,218,219,224,116,190,223,213,207,96,151,164,156,220,212,166,85,184,178,136,214,214,211,209,209,215,216,217,219,219,221,230,154,154,227,215,212,99,137,163,157,212,210,156,148,206,144,165,224,215,214,212,209,217,218,219,219,221,220,214,220,172,185,208,194,134,153,149,134,183,183,149,215,199,119,212,219,216,215,213,212,218,221,221,222,223,225,207,227,210,168,170,168,143,146,139,135,186,176,163,225,166,112,228,218,220,218,216,216,221,224,224,225,224,228,221,223,236,192,160,158,130,136,136,137,180,172,182,234,131,117,237,221,221,220,219,218,222,224,225,227,228,228,229,225,254,216,146,141,120,117,132,143,177,165,185,239,127,144,240,221,223,222,221,219,223,224,227,227,227,228,228,229,255,225,150,112,115,112,127,162,184,152,178,237,136,159,240,223,225,225,223,220,225,226,227,228,229,229,229,230,253,221,160,112,114,112,152,173,199,202,170,221,140,165,240,224,227,226,225,222,227,227,228,230,233,232,232,227,249,216,163,116,106,127,167,188,216,221,180,180,115,161,244,227,227,226,225,224,226,228,230,232,233,233,235,226,247,220,172,117,107,138,185,210,213,212,183,130,78,149,246,228,230,228,226,225,228,230,232,233,234,234,237,227,242,222,173,122,110,136,198,224,220,198,154,99,63,190,241,230,233,231,227,227,230,233,233,234,235,236,238,229,230,220,170,126,118,133,211,229,205,174,133,71,135,246,232,234,234,232,228,227,231,233,233,234,235,237,239,224,215,218,169,138,126,132,207,208,186,156,105,87,231,242,234,234,235,233,230,228,230,232,233,234,235,237,242,226,209,207,161,153,126,133,189,193,176,136,66,169,252,237,238,236,235,234,232,228,229,231,232,234,234,235,238,229,205,197,164,154,120,129,175,178,152,82,105,245,239,239,236,237,235,234,233,231,229,231,233,235,234,235,240,227,212,201,165,151,126,112,155,138,96,81,220,244,237,238,236,236,235,234,233,231,230,233,234,234,235,236,241,222,217,191,144,140,125,104,130,99,67,187,252,237,241,238,237,238,235,234,232,230
4,160,161,163,164,165,166,168,170,171,172,173,174,174,176,177,178,178,180,181,181,182,182,182,181,182,182,184,185,160,162,163,165,165,167,168,170,172,173,173,174,175,175,177,178,178,180,181,181,182,182,183,184,184,184,184,185,161,162,165,165,167,168,169,171,172,172,173,175,178,175,174,176,181,180,181,180,182,183,184,185,185,185,185,185,161,163,165,166,167,168,170,171,173,178,174,167,168,188,178,159,154,183,179,184,183,182,184,185,185,185,186,187,161,164,166,168,168,167,168,171,173,180,187,173,135,164,185,153,126,144,162,150,177,185,185,186,186,186,187,187,163,165,166,168,167,169,193,184,167,136,177,173,132,137,176,146,119,123,152,120,142,193,185,187,187,187,187,186,163,165,167,169,165,183,211,192,157,126,160,172,133,122,173,167,116,124,156,129,132,192,185,186,188,188,187,188,163,165,168,170,166,194,186,195,163,130,142,183,145,104,168,179,122,124,173,132,131,195,185,187,189,189,188,189,164,167,168,169,168,202,174,172,181,145,113,182,152,86,137,188,157,137,155,137,137,176,189,187,189,189,189,190,165,167,168,168,173,200,174,159,153,131,96,126,135,87,108,178,164,153,147,150,151,137,186,189,189,190,191,191,166,167,170,167,179,199,179,166,150,135,127,111,132,122,120,155,167,165,154,144,153,149,163,194,189,190,191,192,167,168,171,165,195,197,174,155,149,140,127,130,148,134,142,152,160,155,140,157,179,160,144,193,190,191,192,193,167,168,171,169,203,190,170,152,141,128,124,135,149,142,153,167,153,128,153,191,182,170,139,184,194,192,193,192,167,170,169,176,211,188,171,153,144,132,130,138,145,153,160,173,173,176,173,173,172,165,138,166,198,192,192,192,168,171,168,181,213,190,175,159,142,133,130,140,152,162,165,176,188,187,180,171,158,146,133,141,198,192,193,192,169,171,167,187,216,190,178,165,145,134,135,138,155,168,181,187,189,183,179,168,155,141,124,129,197,193,194,193,170,172,165,191,218,189,182,167,155,144,141,140,162,183,194,193,186,177,173,165,151,138,120,135,199,194,195,194,169,173,166,194,219,196,186,175,166,149,145,157,171,195,198,193,186,175,165,158,145,135,115,167,201,192,195,196,172,174,167,191,220,202,191,182,175,162,153,170,175,191,195,190,184,175,162,149,134,121,127,196,195,194,196,196,172,172,170,184,222,207,196,184,179,170,162,169,178,191,194,186,184,177,161,143,128,111,170,200,194,195,195,196,171,173,172,176,222,211,195,182,175,168,166,170,180,193,193,181,179,177,160,149,121,138,200,194,195,195,195,196,173,173,173,171,220,212,190,185,179,173,173,175,184,188,184,177,170,168,162,145,120,186,199,196,196,195,196,197,172,173,173,172,221,207,190,194,186,181,179,177,182,184,174,171,163,161,157,125,162,201,194,196,196,196,196,198,172,173,172,177,222,199,195,199,191,189,185,177,180,181,172,165,158,151,131,149,199,195,195,196,196,196,197,198,173,174,170,183,221,207,198,195,191,193,188,176,174,176,169,160,150,130,137,199,195,196,196,196,197,197,197,198,172,174,169,189,223,214,195,190,193,197,188,170,168,167,165,153,141,117,181,197,194,196,196,196,197,197,197,198,172,174,169,197,221,214,195,188,193,193,183,168,162,164,160,148,124,138,202,193,194,195,196,197,197,197,197,198,172,175,168,202,222,215,193,187,191,190,179,167,160,167,156,142,116,166,201,194,195,196,197,197,197,197,197,198
7,229,229,230,229,229,229,229,229,228,228,227,226,225,224,223,222,222,221,219,217,216,215,213,212,211,208,206,205,231,230,231,230,230,231,230,231,230,229,229,228,227,226,226,225,224,223,222,219,218,217,217,215,213,211,208,207,231,232,231,232,233,232,232,232,231,232,231,230,229,229,227,225,225,224,223,221,220,218,218,216,213,213,211,209,232,233,233,233,235,234,234,234,233,233,232,232,231,230,228,226,228,226,226,227,224,223,221,217,216,215,212,211,235,235,235,235,235,235,236,236,235,234,232,232,232,234,233,233,230,225,219,211,210,208,216,222,218,217,214,213,236,236,235,236,236,235,235,236,235,237,237,238,233,222,214,201,198,195,177,171,212,206,186,221,220,219,217,215,237,237,237,237,237,238,240,241,239,231,220,206,194,185,165,175,176,166,164,164,186,174,183,231,222,220,218,215,237,238,238,239,240,232,220,207,201,191,183,176,178,171,157,158,153,143,149,134,127,155,182,182,211,223,219,217,238,238,240,233,207,185,177,178,181,185,183,178,169,149,152,147,145,149,149,146,145,137,128,147,162,222,221,218,239,243,231,208,198,174,164,174,164,159,156,155,158,165,177,170,141,152,159,141,138,125,120,139,141,218,224,220,240,224,208,209,199,172,155,147,144,153,166,180,187,182,173,159,128,131,131,113,114,115,122,141,187,227,222,221,215,203,207,206,196,189,180,182,183,189,192,180,175,166,157,132,113,120,143,166,190,206,222,231,231,225,224,222,201,204,206,202,200,197,182,174,166,167,164,149,145,142,138,149,179,213,236,241,240,236,232,229,228,226,224,223,204,209,204,204,205,188,155,128,137,136,123,112,104,138,230,245,245,243,236,235,233,232,231,231,229,226,224,223,210,208,206,202,184,170,130,112,118,105,99,98,98,92,144,244,237,238,238,237,236,234,232,231,230,228,224,222,208,209,202,181,174,162,137,129,110,100,101,98,100,88,135,239,240,237,237,236,235,231,231,230,228,226,227,230,210,207,192,180,172,169,174,172,127,102,105,106,93,141,239,240,239,237,236,235,234,231,229,227,227,231,216,180,211,202,181,170,165,169,178,161,114,101,98,84,123,243,243,240,241,238,237,236,234,232,233,236,226,198,131,101,202,178,157,158,156,156,157,128,104,95,93,93,115,247,239,241,237,236,236,235,240,236,214,178,137,107,102,97,178,164,162,164,158,147,138,125,117,101,104,88,159,247,238,241,247,245,244,242,194,145,119,103,99,100,102,94,168,170,169,165,147,124,126,142,132,104,94,161,253,247,248,237,199,187,186,154,114,108,99,100,100,101,101,91,170,162,148,131,119,122,137,145,117,98,127,191,193,182,170,132,101,102,95,100,97,104,102,84,93,100,102,90,154,136,129,129,130,130,126,110,105,136,146,132,120,117,117,97,85,103,89,100,92,90,96,78,84,95,101,86,145,141,143,138,126,117,111,116,148,163,143,126,117,111,103,104,79,92,89,86,88,89,88,75,80,92,97,79,134,131,128,122,114,117,137,155,154,138,122,109,104,98,96,93,85,76,89,80,84,85,82,75,80,90,95,77,113,119,125,129,139,150,154,153,142,108,99,103,99,90,93,89,87,70,81,78,79,85,79,74,82,88,93,73,149,154,157,161,155,151,150,143,114,100,87,93,97,86,87,83,84,69,71,79,76,85,76,74,83,86,90,71,154,156,153,156,152,150,144,123,92,91,89,84,95,80,82,76,81,74,67,77,78,85,73,78,83,88,89,68
10,44,47,52,56,67,86,98,108,112,117,123,129,135,138,150,139,142,152,151,152,153,153,152,150,151,150,148,146,45,48,53,57,69,88,100,110,114,120,126,132,136,141,186,119,107,158,151,152,154,155,153,152,151,151,149,146,46,49,54,59,72,90,102,111,115,120,128,136,138,150,185,128,85,155,156,155,157,156,155,154,153,153,150,149,48,51,55,60,73,91,105,114,117,123,131,137,142,151,185,150,79,146,162,158,159,158,157,154,155,154,153,151,48,52,57,60,75,93,108,116,119,126,134,140,147,148,186,176,91,136,167,160,161,160,159,160,159,156,155,153,49,53,59,61,78,97,109,118,121,128,136,142,149,150,197,187,102,123,172,161,162,163,162,162,161,160,157,155,51,54,60,63,80,98,112,119,123,130,139,146,152,150,196,184,112,110,174,164,166,166,165,164,163,162,160,158,51,55,61,62,80,100,114,121,124,134,141,148,154,152,199,194,113,91,175,168,169,169,168,166,164,164,162,161,51,55,60,63,83,103,117,123,127,134,143,152,155,154,204,204,127,73,170,171,170,170,170,168,168,167,164,163,52,55,61,65,86,102,118,129,131,144,179,115,136,162,194,181,128,62,155,178,172,173,172,171,170,169,167,167,52,57,62,68,83,125,162,115,78,127,162,64,90,174,184,159,113,51,135,184,174,175,174,172,172,172,170,169,53,58,62,70,82,143,159,73,45,60,105,65,24,130,174,133,123,56,125,188,176,177,176,175,174,174,172,171,53,58,61,70,89,115,116,75,61,50,91,74,29,31,91,97,132,80,100,191,177,178,178,177,175,174,174,172,54,59,62,70,92,110,124,127,120,106,108,82,62,29,31,53,94,87,66,179,181,180,180,179,178,177,176,174,55,59,62,70,92,111,128,136,148,154,95,102,82,73,44,34,61,69,44,158,190,183,182,180,180,180,178,176,56,59,63,72,93,113,130,134,166,149,62,83,131,110,88,54,42,53,34,147,195,185,185,184,183,181,179,177,54,58,63,73,95,114,133,139,157,164,124,51,90,143,117,95,62,39,27,121,199,186,187,186,184,183,180,178,55,60,61,72,98,111,154,158,118,177,138,69,72,193,136,117,91,38,19,69,197,188,189,188,187,185,183,182,56,60,62,72,98,111,169,192,114,121,127,75,134,220,156,126,103,50,21,52,194,192,190,190,189,188,187,184,56,59,62,74,99,114,155,192,139,74,134,116,140,220,152,118,104,64,25,50,197,194,193,193,190,189,188,186,56,59,61,75,100,120,134,163,152,86,136,170,143,200,165,123,96,69,33,48,196,195,195,195,193,190,189,188,56,58,61,77,101,121,134,151,152,88,135,224,119,165,170,139,93,62,40,45,195,197,196,195,195,193,191,189,55,57,60,77,101,121,137,140,167,129,159,139,61,128,169,127,88,58,39,55,200,198,198,196,195,194,191,189,56,60,60,76,102,122,139,141,158,196,163,79,88,152,151,115,79,54,36,74,208,198,200,198,196,195,192,191,53,58,59,77,102,123,136,142,145,181,193,166,138,160,129,99,72,57,35,95,212,195,199,198,196,196,194,193,51,55,58,76,101,121,137,139,148,168,187,169,123,126,112,85,74,68,39,109,211,196,199,198,196,195,193,192,50,52,56,76,102,120,138,141,153,50,146,176,107,130,134,129,109,86,37,128,212,198,200,197,197,196,195,192,49,51,54,73,100,120,134,151,88,0,132,196,164,156,138,152,127,85,26,132,215,199,201,199,197,196,196,193
2,146,147,148,148,148,149,150,149,149,148,149,148,147,147,147,146,144,143,141,139,140,139,137,135,133,132,131,129,147,148,150,150,150,151,152,152,152,151,151,149,149,151,151,150,150,150,149,144,140,140,137,135,134,132,130,130,148,150,151,153,153,154,154,154,153,153,153,153,150,135,136,138,131,125,119,126,146,140,137,137,137,134,132,131,152,153,154,155,155,155,155,155,155,154,155,151,129,115,117,119,115,91,70,57,105,146,146,139,138,137,135,134,153,154,155,155,156,156,157,157,157,157,156,138,124,122,112,106,119,84,58,80,89,92,118,142,140,138,137,135,155,156,157,157,158,159,159,158,159,160,157,147,136,116,95,79,65,30,24,52,65,39,29,126,147,139,138,135,156,157,159,160,160,160,161,162,161,153,142,139,122,77,43,30,43,60,115,109,72,42,75,142,143,142,140,137,156,157,161,162,162,163,162,164,164,149,134,117,78,28,7,18,144,164,159,160,155,146,153,147,143,143,141,138,158,158,161,162,162,165,165,165,163,149,123,69,27,16,8,62,169,154,155,154,152,151,149,148,145,145,142,140,160,162,163,163,164,166,166,166,162,151,114,36,8,7,11,130,165,157,157,156,154,151,150,152,149,146,143,141,161,163,164,164,166,165,168,166,162,149,107,36,10,2,47,171,160,162,159,157,156,155,154,141,135,147,144,141,162,163,166,167,168,168,170,163,157,144,88,21,23,15,57,171,160,162,160,157,156,158,112,72,60,111,151,142,164,165,164,167,170,169,171,163,159,137,76,33,33,14,70,174,162,164,162,158,161,117,74,74,52,93,155,143,164,165,166,168,170,171,170,161,160,137,83,50,31,7,97,179,160,165,161,165,128,74,82,70,50,134,150,145,165,167,169,170,171,172,168,160,159,134,83,53,29,12,55,176,170,161,171,140,62,61,72,46,91,159,147,146,166,169,170,170,172,173,169,160,154,127,89,56,24,24,20,64,137,178,145,82,53,53,52,43,151,153,149,148,167,169,170,171,171,174,168,160,154,126,86,48,25,24,31,28,44,101,63,56,70,50,28,117,161,152,152,149,167,170,171,172,172,174,164,159,166,127,81,55,26,25,31,38,45,38,39,55,51,40,126,165,154,156,153,149,167,170,171,173,173,176,159,167,165,119,78,54,28,25,33,36,46,52,41,48,39,134,169,156,157,156,153,150,168,169,171,174,176,175,158,172,156,109,74,56,30,26,35,38,46,51,43,19,120,173,157,157,157,156,153,150,169,171,172,174,178,172,160,169,146,102,76,59,29,26,39,44,47,48,27,93,172,161,160,158,157,156,154,152,170,171,173,175,177,169,160,164,131,100,80,56,30,26,44,46,50,28,52,177,165,163,162,161,159,156,155,154,171,172,174,177,179,168,157,148,121,95,73,51,28,27,44,41,38,15,138,175,165,165,164,162,159,158,155,153,171,172,174,175,177,167,153,141,118,89,71,49,26,27,41,39,10,102,181,167,167,167,164,162,161,158,155,154,171,173,174,176,176,166,144,132,108,81,64,45,28,29,28,10,90,182,170,170,169,168,164,162,162,160,156,155,171,173,174,176,174,165,139,129,105,79,58,41,26,14,25,114,183,172,172,170,169,168,166,163,160,159,157,155,171,173,175,174,173,160,137,123,106,78,51,32,8,68,170,186,174,174,173,171,169,167,166,164,161,160,158,155,172,173,176,173,164,135,121,120,100,68,38,18,27,172,185,175,176,174,174,172,171,169,168,165,161,161,158,155
3,163,166,170,172,173,174,175,176,178,178,178,177,177,192,178,163,176,176,174,173,172,170,168,167,166,164,162,159,166,169,173,174,176,178,179,179,181,182,182,181,180,202,202,138,176,180,177,176,175,174,171,170,168,166,163,161,169,172,174,177,180,180,181,182,184,184,184,183,184,195,221,141,163,182,180,179,178,177,175,173,170,168,166,164,171,173,177,179,181,183,184,184,186,186,186,187,187,189,233,171,149,185,184,182,181,180,178,175,173,171,168,167,173,176,179,181,184,186,186,187,187,188,188,189,190,189,235,195,139,185,186,184,183,181,180,179,176,174,171,171,176,179,182,185,186,187,189,191,190,191,191,193,192,208,236,202,150,180,189,188,186,183,181,181,179,177,175,173,178,181,184,186,187,189,191,193,193,192,205,225,214,225,241,239,196,162,189,190,188,186,185,184,182,180,178,176,179,183,186,189,189,191,192,194,196,195,229,251,247,230,195,205,204,147,189,185,180,189,188,186,184,183,181,179,181,184,188,192,193,195,195,196,196,211,240,239,213,217,185,148,201,174,196,165,165,193,191,189,187,185,184,182,184,187,191,194,195,197,197,199,200,241,248,235,195,174,187,162,174,199,193,147,136,194,193,192,190,188,186,185,187,189,193,196,199,199,200,201,206,238,206,174,206,194,166,182,136,141,179,157,128,171,196,195,192,190,189,187,189,192,195,198,200,201,202,203,213,238,178,111,129,150,124,131,113,95,161,180,152,146,197,197,194,193,191,189,191,194,198,200,201,202,204,205,219,233,165,129,119,115,112,111,103,92,147,192,158,154,199,199,196,195,193,192,192,196,199,201,202,205,206,206,227,234,196,163,129,117,117,121,105,103,181,202,158,168,201,199,198,197,196,194,194,197,200,203,205,206,208,208,234,240,202,154,126,121,127,128,134,160,210,209,158,181,202,201,200,200,197,196,196,198,201,204,207,209,210,211,234,239,190,142,122,125,136,145,186,216,226,206,152,190,205,203,202,201,199,197,197,200,204,206,207,209,211,212,233,238,192,147,130,132,145,169,223,238,222,190,145,195,207,207,204,202,201,199,198,201,205,207,209,211,214,214,233,243,201,156,137,139,151,195,238,237,210,167,150,203,208,207,206,205,202,200,200,203,206,209,211,212,214,214,229,246,208,166,144,147,165,220,238,228,201,154,156,210,210,209,208,206,203,196,200,204,207,209,211,213,213,215,227,248,219,178,150,152,175,232,236,216,190,148,168,212,212,209,173,147,139,124,200,204,207,209,212,214,214,217,224,247,223,189,161,161,181,229,228,204,177,142,185,214,214,176,123,117,111,106,201,205,209,212,214,215,216,218,221,242,226,200,175,175,179,211,209,184,160,141,202,215,204,141,112,104,101,97,202,206,209,212,214,216,217,219,219,235,230,209,183,180,163,178,184,156,141,152,213,204,146,108,90,76,63,48,204,207,209,212,215,217,218,218,194,211,238,216,185,168,143,147,153,138,121,168,160,127,108,96,80,64,61,53,204,207,210,214,216,217,219,186,90,170,242,214,172,143,121,124,127,121,84,67,87,107,105,102,86,60,54,55,184,188,193,196,199,202,200,119,41,136,222,193,146,115,104,112,111,94,43,22,54,88,91,96,101,73,50,52,124,125,128,129,128,128,133,109,54,89,172,178,137,100,108,114,94,62,22,31,74,72,76,80,99,89,58,47,120,119,124,124,120,124,126,129,101,91,121,159,130,105,117,107,80,55,36,54,77,58,57,68,88,96,72,47
6,192,193,193,194,194,195,194,194,195,196,196,197,197,196,197,197,195,196,196,197,197,196,195,195,194,193,193,193,193,193,194,195,196,195,196,196,196,196,196,197,198,198,198,199,198,198,198,198,197,198,197,196,196,195,194,194,194,194,195,196,196,196,197,197,197,196,196,197,198,199,199,200,199,199,200,200,200,199,198,197,197,196,195,196,194,195,195,196,197,197,198,199,199,199,199,198,200,200,200,201,200,200,200,201,199,198,197,198,196,196,197,197,195,196,196,197,199,199,199,199,199,200,201,200,200,200,199,194,190,190,190,191,186,178,165,164,180,178,196,198,196,197,197,198,199,199,199,199,199,198,197,194,187,186,188,181,184,187,198,198,186,176,164,156,167,154,192,199,196,197,198,199,200,201,200,196,187,180,181,182,184,194,194,182,172,173,178,173,161,146,137,138,148,166,199,201,195,196,198,200,199,198,195,189,181,171,167,171,172,168,160,146,135,130,131,142,151,162,175,188,195,200,201,201,196,196,198,196,195,194,192,191,179,159,138,128,122,112,110,114,119,151,186,198,201,202,203,202,202,202,201,201,195,194,193,190,188,189,191,191,186,167,127,97,86,91,115,149,184,201,203,205,203,202,202,203,202,201,200,200,194,189,187,187,190,187,191,193,188,158,121,92,84,91,114,191,202,203,204,203,202,201,202,202,202,201,200,199,186,187,187,187,186,189,196,194,167,125,107,89,85,91,93,117,183,204,204,203,203,202,202,202,202,201,201,200,188,188,185,187,188,192,192,193,180,151,112,85,83,97,95,90,99,174,205,205,203,203,204,204,203,202,201,201,193,190,187,189,192,192,193,202,199,169,123,86,79,92,106,103,94,100,196,205,205,206,205,204,202,202,202,201,190,191,190,188,190,195,195,204,194,154,114,88,85,85,91,98,96,88,174,205,206,206,205,205,204,203,202,202,192,192,189,188,190,191,189,194,185,145,106,87,86,87,79,81,88,105,188,206,206,206,207,206,205,204,203,202,193,189,185,183,180,182,185,188,185,155,111,79,83,90,90,90,83,146,179,184,187,189,190,191,192,193,201,205,190,187,186,184,182,184,188,194,195,165,112,81,71,80,107,91,86,101,104,107,109,111,112,118,150,183,208,209,186,190,189,186,186,190,192,198,190,152,101,84,81,75,83,95,95,100,99,100,100,119,149,180,202,204,213,216,188,188,184,182,181,177,174,180,159,126,99,89,86,81,84,101,114,109,114,128,163,201,210,196,189,194,196,205,182,176,172,172,165,157,154,154,135,114,102,96,92,83,86,101,124,171,196,202,206,200,195,193,185,178,187,192,168,169,163,156,148,142,140,135,119,103,98,97,97,93,104,149,206,219,214,206,198,183,175,176,180,172,166,170,146,149,146,137,131,123,114,111,111,101,101,102,108,137,191,219,216,205,201,195,181,168,164,164,171,167,159,162,107,113,113,110,102,98,98,101,102,102,102,135,191,220,222,219,208,197,192,193,171,151,156,157,160,163,158,157,83,84,90,93,94,98,101,102,103,102,149,202,217,216,211,203,193,191,191,189,164,135,145,151,149,157,153,151,91,92,99,101,99,100,101,101,101,154,210,203,206,194,200,194,181,185,190,190,160,123,131,143,145,150,148,152,97,97,99,99,98,99,100,102,159,209,198,189,191,190,195,183,171,174,186,187,161,118,116,133,139,143,151,147,98,97,98,98,98,99,112,169,206,202,190,180,187,188,192,175,163,164,178,188,162,119,110,125,138,145,154,140
21,131,134,137,138,138,139,140,140,140,140,140,134,138,140,137,135,133,132,131,131,129,126,124,123,123,121,120,117,133,136,138,139,139,140,141,142,142,141,146,117,88,140,140,137,136,135,133,134,131,129,127,127,124,123,122,119,133,137,140,140,142,143,143,144,144,144,144,126,72,103,149,138,139,138,136,136,134,132,127,113,126,125,123,121,135,137,140,142,144,145,145,147,146,146,146,136,95,60,143,142,140,140,138,137,136,135,125,65,97,133,125,124,137,139,142,144,145,146,147,148,148,147,148,144,112,48,119,150,141,142,141,140,136,137,116,54,90,137,126,125,139,142,144,145,146,147,148,149,148,150,150,149,131,73,88,154,143,145,143,142,138,137,106,49,107,136,128,127,140,143,146,146,147,148,150,150,150,153,152,152,144,91,64,147,147,146,144,143,142,132,87,51,126,133,129,128,142,145,147,148,150,151,152,152,152,153,153,153,154,101,51,131,151,145,145,145,143,127,77,66,140,132,132,130,143,147,148,149,150,153,154,154,154,155,155,154,155,120,60,110,156,146,147,146,136,110,57,91,144,133,134,132,145,148,149,151,151,152,153,154,154,156,157,154,149,137,85,86,159,146,148,146,126,92,39,122,142,135,133,131,145,147,150,152,152,153,154,155,155,157,159,157,153,149,114,72,138,158,151,148,129,77,56,144,138,138,135,133,146,148,150,153,153,155,156,156,157,158,159,159,156,155,148,103,85,128,140,130,112,57,97,150,138,139,137,135,147,149,151,154,155,156,157,159,159,160,160,159,156,104,108,120,80,78,81,90,64,41,130,146,140,140,138,137,148,149,152,155,156,157,158,160,161,161,160,161,152,93,57,98,94,88,94,97,37,58,154,143,142,141,140,138,148,151,153,155,156,157,159,161,161,161,161,162,134,119,75,74,96,77,83,81,40,66,156,143,143,142,141,138,149,152,154,155,157,160,162,161,162,162,163,139,92,115,87,57,78,35,70,102,59,38,144,147,144,143,142,139,149,153,155,157,159,161,162,163,163,162,161,137,85,93,89,35,49,24,54,109,79,31,98,155,142,143,142,140,151,154,156,159,160,161,162,163,163,164,161,142,91,72,71,21,48,50,107,119,106,46,46,152,144,144,142,141,151,155,158,160,161,163,163,164,167,165,156,125,91,62,55,21,52,94,142,123,97,45,42,150,145,145,143,141,152,155,158,160,161,163,164,165,166,165,154,138,119,75,42,31,74,141,129,106,81,28,58,157,145,146,144,142,153,155,158,160,162,163,164,165,165,166,153,143,124,86,64,63,131,148,117,89,77,22,83,160,145,147,145,142,153,156,159,160,163,163,165,166,166,168,152,140,125,95,63,67,136,134,116,91,72,24,105,159,146,146,144,142,153,156,159,161,162,163,165,167,167,168,151,128,118,93,65,67,126,129,107,85,59,23,126,157,148,147,145,143,153,156,160,162,163,165,165,167,167,169,154,124,122,101,78,69,118,122,100,72,39,30,149,152,150,148,146,144,154,155,160,162,163,165,166,168,167,168,165,135,122,105,84,58,98,100,76,56,15,62,163,148,150,148,145,144,152,154,156,159,161,163,164,165,165,166,166,148,133,110,81,60,75,83,62,44,5,109,159,148,148,146,145,143,152,155,157,159,162,164,164,165,166,166,166,153,133,109,83,72,67,76,74,29,37,154,150,149,147,145,144,143,152,155,158,161,162,164,165,165,166,166,164,154,138,113,99,93,77,78,68,16,96,163,149,149,147,146,144,142
15,112,121,130,138,143,145,148,154,159,163,167,172,175,179,182,185,187,190,192,193,195,196,196,198,199,199,201,200,113,123,131,139,145,147,150,156,161,165,169,173,176,179,183,187,190,193,194,194,196,198,198,199,200,201,203,203,115,124,133,141,147,150,152,158,164,167,171,175,178,181,185,188,191,194,194,196,197,199,200,200,201,202,203,204,116,126,134,142,147,149,152,159,165,168,173,177,180,184,187,190,193,195,196,198,199,201,202,201,203,204,204,205,117,127,136,143,148,149,154,161,166,170,175,178,181,185,188,191,194,197,198,200,201,203,204,204,206,207,207,207,118,128,138,145,149,151,156,162,168,173,177,180,183,187,190,193,195,198,199,200,202,204,205,206,208,208,208,209,119,129,139,146,153,155,158,164,169,174,178,182,185,189,191,194,197,200,201,202,204,206,208,209,209,209,210,211,120,130,140,154,199,184,170,168,170,176,180,184,186,191,193,196,200,202,203,205,206,207,209,210,211,211,211,212,122,132,140,164,218,193,180,177,173,182,183,182,180,184,192,198,200,203,205,206,207,209,210,211,212,213,214,214,123,133,142,153,181,179,172,167,167,185,185,182,175,166,176,185,190,197,204,206,208,212,213,214,215,215,216,216,124,134,144,152,157,160,157,153,158,171,174,174,173,174,181,176,178,183,193,195,189,196,208,215,215,216,217,217,127,136,146,153,158,161,164,169,172,174,171,165,164,172,175,170,165,166,185,194,186,173,168,196,219,218,219,220,128,138,147,154,159,162,166,173,179,183,186,184,181,179,173,163,156,165,183,192,197,172,163,158,189,219,221,222,128,138,148,155,161,163,168,174,179,185,189,192,196,198,196,190,184,192,191,185,192,186,172,174,156,183,221,222,130,140,150,156,162,165,169,175,180,186,190,195,199,201,200,210,230,213,184,153,187,189,174,187,170,148,185,225,131,141,151,158,163,165,169,176,181,187,192,197,213,191,173,188,214,207,168,127,179,187,178,188,185,162,139,184,132,143,152,159,164,165,170,177,183,188,193,202,217,186,162,192,227,216,168,147,167,177,184,185,178,162,140,130,134,144,153,161,165,167,172,178,184,190,195,200,201,172,163,198,228,210,165,155,157,158,171,175,157,153,145,133,134,145,155,163,166,169,173,179,185,191,195,199,206,205,177,190,208,187,165,165,167,165,170,170,147,140,145,142,135,145,155,163,165,168,174,180,187,192,196,199,213,251,212,149,127,126,137,161,172,174,179,175,154,146,146,143,136,146,156,163,166,169,175,182,187,193,198,201,209,249,224,157,88,62,55,74,122,168,175,171,159,155,146,134,136,147,158,164,167,169,176,182,188,194,199,202,207,248,223,153,103,90,67,46,55,130,158,152,141,127,110,95,137,147,158,164,167,169,177,184,189,195,200,204,206,243,222,139,136,134,119,88,68,78,108,101,88,75,69,62,138,148,158,165,167,169,177,185,191,196,200,205,206,237,231,150,167,164,154,142,112,81,75,72,69,64,64,61,137,149,159,165,168,171,177,184,191,195,200,205,206,230,243,159,165,177,166,138,100,76,72,71,71,66,65,62,137,149,159,165,166,170,176,184,191,195,200,203,206,218,246,163,167,218,199,128,86,71,72,72,70,66,65,63,138,149,159,165,167,171,178,186,191,196,200,205,208,216,227,148,181,228,209,121,79,70,72,71,69,66,67,66,140,150,159,166,168,173,179,186,192,197,201,206,209,214,194,165,215,225,218,125,88,77,75,69,66,67,68,68
4,161,164,167,168,172,173,175,180,182,184,189,188,188,192,192,191,194,195,192,194,194,196,196,195,193,193,193,193,165,168,170,173,175,177,179,182,183,185,191,190,192,192,192,202,188,188,198,196,196,197,197,196,197,196,195,195,169,172,174,177,180,180,182,185,187,188,188,198,185,206,249,236,166,113,186,201,200,202,199,200,199,199,198,197,172,175,177,180,182,184,185,191,195,198,227,226,160,132,194,215,152,95,102,139,137,186,206,201,202,202,200,198,175,177,181,183,187,187,195,191,162,227,251,230,171,104,78,186,147,93,70,123,100,108,212,202,205,204,203,202,178,180,184,187,188,190,243,226,159,166,169,230,176,123,60,129,173,124,72,143,142,97,205,206,206,205,204,205,181,183,187,191,185,224,232,222,218,186,118,178,205,147,36,132,211,157,114,133,156,125,192,214,208,209,207,208,185,188,190,191,196,245,211,163,168,142,81,103,210,138,46,178,205,149,106,97,117,112,144,222,209,211,210,210,186,191,195,195,199,251,236,192,170,162,150,94,145,111,76,137,164,130,112,113,108,103,118,192,220,211,211,211,189,193,196,199,196,236,234,214,186,160,150,117,105,129,121,133,161,140,140,119,87,128,132,129,223,214,215,213,191,196,198,203,200,229,233,205,174,142,121,109,116,139,142,161,173,162,152,122,126,171,164,114,175,227,215,217,193,198,200,206,202,237,238,206,179,141,118,109,120,132,151,170,189,193,214,231,216,197,176,152,118,214,220,219,196,200,203,208,204,239,248,215,185,147,119,115,123,137,163,202,193,224,236,226,213,192,158,130,89,168,233,219,197,204,206,209,206,234,253,219,196,164,126,115,119,139,183,203,195,223,219,211,195,173,146,120,93,119,231,223,199,205,207,213,211,235,255,227,207,176,141,122,123,141,192,207,217,226,228,211,186,166,144,116,98,104,223,227,202,208,210,215,213,237,255,233,215,184,153,136,136,138,184,215,228,230,224,213,184,159,132,112,89,126,237,227,204,210,212,216,214,233,255,241,224,192,162,156,150,142,179,218,230,229,226,212,177,146,119,108,83,185,242,229,206,210,214,218,218,228,253,247,236,203,176,169,162,151,188,213,228,231,227,205,170,136,116,99,99,232,235,234,208,212,216,219,219,225,246,251,243,215,189,179,170,156,195,213,218,230,217,190,158,131,116,83,146,249,233,236,211,216,218,221,226,221,238,251,244,220,200,188,174,164,187,220,217,217,199,170,146,125,113,83,206,245,236,238,215,220,219,223,228,226,226,244,236,221,202,190,179,163,161,208,213,196,178,152,134,123,100,112,246,238,240,240,217,220,223,226,228,232,218,239,240,225,201,191,183,163,144,192,211,194,168,141,120,125,84,182,252,237,241,241,220,222,226,228,231,237,220,240,248,228,203,191,186,168,146,181,201,184,157,129,116,88,133,249,241,243,242,241,223,225,227,230,233,238,223,244,247,219,193,186,186,163,143,172,186,169,134,119,88,125,241,246,243,243,241,244,223,226,231,233,235,238,230,247,242,210,189,192,189,170,146,161,166,152,120,99,103,236,250,242,245,252,255,243,224,228,231,233,236,241,223,243,249,213,202,206,197,184,152,147,147,141,115,80,191,255,241,253,254,221,161,111,227,231,234,235,237,245,226,243,255,219,215,225,199,187,151,133,134,138,100,99,238,244,255,214,126,76,60,57,230,232,234,237,239,248,186,239,255,238,237,235,201,187,150,130,135,140,86,134,255,251,191,88,69,49,51,46
6,190,190,190,190,190,190,190,189,189,189,189,188,187,186,184,183,183,181,180,179,178,176,174,174,172,171,168,166,193,193,193,193,193,193,193,192,192,192,191,190,189,187,186,185,184,183,182,181,180,178,177,175,174,173,171,169,195,195,195,195,195,196,196,195,194,194,194,193,192,191,189,188,187,186,185,184,182,181,179,178,177,175,173,171,197,198,197,197,197,198,198,197,197,197,197,196,195,194,193,191,190,188,187,186,184,184,182,181,180,178,175,174,200,200,200,200,200,200,200,200,199,199,199,199,197,196,195,194,193,191,190,188,187,186,185,183,182,180,178,177,201,201,202,202,202,202,202,202,202,202,201,200,200,199,197,196,195,194,193,191,189,188,187,186,184,182,180,179,203,203,204,204,204,204,204,204,204,204,203,202,202,201,200,198,197,196,195,194,192,190,189,188,186,184,182,181,204,205,205,206,206,206,206,206,206,206,206,205,204,203,201,200,199,198,197,195,193,191,189,187,185,183,182,182,206,206,207,207,207,208,208,208,208,208,207,206,205,204,201,198,195,190,183,178,175,175,171,165,169,177,173,179,208,207,207,208,208,209,209,209,208,204,198,192,188,186,180,173,166,160,148,143,147,149,144,142,161,178,164,169,209,209,209,209,209,209,209,206,195,177,162,157,155,157,157,153,147,141,132,128,134,129,129,128,135,148,150,169,211,211,211,211,210,209,202,191,177,159,141,137,140,144,146,142,134,120,114,112,115,119,128,133,140,156,172,184,212,212,213,212,208,196,182,175,168,152,127,110,109,109,118,125,125,121,127,144,161,172,180,184,188,191,192,192,213,213,214,209,192,175,171,170,165,153,131,99,76,73,122,163,178,185,191,198,202,202,201,200,198,197,195,194,214,214,209,192,174,171,172,172,172,166,145,103,69,63,91,123,150,183,205,207,207,204,203,202,200,199,197,196,212,205,191,179,175,177,178,176,175,166,130,85,63,61,64,67,74,113,186,208,208,207,205,203,202,200,198,197,195,183,178,180,180,180,179,171,167,155,112,75,58,56,62,64,63,73,151,206,209,208,207,204,202,201,199,197,176,175,180,183,182,179,172,164,164,158,134,102,66,51,54,58,60,67,132,202,210,208,207,205,203,202,200,198,175,177,182,185,183,175,165,163,165,165,157,122,77,55,53,52,67,119,177,208,209,208,207,206,204,202,201,199,178,180,183,184,177,167,160,160,158,157,147,109,68,55,55,55,84,178,210,211,210,209,208,207,205,203,201,200,179,180,179,175,168,162,158,155,149,143,133,101,62,49,52,59,105,192,213,211,210,209,208,206,204,203,201,200,176,173,166,162,162,158,152,145,138,137,139,119,75,51,51,77,162,208,212,210,209,208,207,205,203,202,200,199,166,160,156,156,152,143,136,132,134,141,147,127,81,58,56,90,187,213,212,210,209,208,207,206,203,199,190,181,159,156,153,147,138,131,129,129,131,133,129,102,71,62,69,122,199,214,213,211,209,208,207,200,177,152,127,107,151,147,139,132,130,128,124,115,107,100,91,80,91,114,143,189,212,211,205,194,181,178,173,151,106,78,62,57,131,120,106,106,115,117,109,93,81,80,93,129,176,199,208,213,200,164,140,114,92,90,84,73,58,55,49,42,94,80,69,78,92,94,87,78,81,104,136,164,180,184,185,178,142,96,77,60,45,49,45,43,42,42,43,33,72,59,64,84,94,94,90,89,96,108,117,120,120,121,119,106,84,67,58,51,36,39,38,36,36,35,37,31
0,199,199,199,198,198,198,198,197,197,199,198,198,198,197,196,195,196,195,193,194,191,190,191,191,189,188,187,186,200,201,200,200,201,201,201,201,201,200,199,200,200,199,198,197,196,195,194,194,194,193,193,192,189,188,188,187,202,202,201,202,202,201,201,201,201,200,202,203,201,201,199,198,197,197,196,196,196,195,195,193,193,191,190,188,202,202,202,202,201,201,201,201,202,202,203,203,203,202,201,204,202,198,202,203,198,194,194,195,195,193,192,191,203,203,204,203,202,203,202,202,204,203,203,203,202,202,197,178,189,207,181,164,191,186,150,196,195,195,194,194,203,204,205,205,205,204,204,204,204,203,205,207,209,203,167,128,106,146,146,115,111,178,118,165,204,194,195,193,205,205,206,206,206,207,206,205,208,211,207,186,156,164,164,132,97,72,146,126,76,150,142,114,212,194,195,194,207,206,207,206,207,207,206,206,185,178,194,170,119,81,147,141,122,90,147,128,85,125,166,84,147,211,194,196,207,208,208,208,206,206,204,194,157,103,165,166,123,78,132,150,132,90,151,133,85,93,164,117,84,150,204,195,209,209,208,208,208,208,194,188,161,111,148,171,132,93,126,155,124,85,154,137,84,57,154,142,105,78,199,196,209,208,209,209,209,205,181,177,171,136,132,177,133,99,105,156,125,72,128,116,72,62,162,156,93,93,208,197,209,209,209,210,210,199,174,155,169,146,121,167,128,96,88,154,122,54,62,73,41,103,181,151,71,144,214,197,211,212,211,211,209,196,191,148,150,141,97,143,135,104,63,92,81,24,44,56,79,164,176,131,70,192,203,200,211,213,213,212,208,189,171,118,119,103,51,103,130,97,43,28,42,82,136,126,141,177,161,95,103,215,199,201,212,214,213,214,205,187,180,145,110,73,45,52,81,53,32,56,124,174,171,165,140,153,144,58,146,218,201,201,213,215,213,215,205,188,190,167,128,105,91,85,96,99,120,154,177,175,166,164,132,113,105,48,186,208,203,202,213,215,213,216,204,188,197,172,142,124,108,117,143,173,182,186,188,179,158,153,116,89,52,110,218,204,205,203,213,214,213,216,206,182,198,175,150,120,117,126,165,188,190,194,190,169,149,136,105,51,78,208,208,207,205,205,210,212,211,213,209,174,186,176,155,130,125,138,184,194,190,192,179,153,134,117,74,56,196,212,206,206,206,205,211,213,214,214,216,180,181,182,160,147,138,152,187,191,190,181,159,142,120,95,44,166,218,204,207,206,204,203,214,214,214,213,219,192,170,183,174,162,142,156,184,183,182,170,140,122,106,48,124,221,205,208,207,206,204,204,214,214,214,214,217,206,168,179,173,156,137,149,175,168,162,144,121,104,58,85,215,209,208,209,207,207,206,204,214,214,214,215,215,216,177,173,167,147,137,143,163,155,141,123,100,57,61,200,213,209,210,209,208,208,207,206,213,214,213,213,214,215,183,174,159,139,136,138,157,148,125,106,66,55,191,217,210,212,212,209,208,207,207,206,216,215,215,214,217,206,179,172,163,157,155,146,149,145,114,84,41,176,221,209,211,210,211,209,208,207,207,205,208,210,212,212,218,191,174,182,172,172,159,149,144,135,97,51,96,231,215,219,219,217,216,214,213,211,210,208,125,128,131,133,133,152,180,189,180,170,159,151,137,107,87,47,113,185,180,183,186,189,190,190,192,193,195,194,103,102,99,100,92,141,182,190,175,167,160,148,110,96,77,49,77,103,101,101,101,104,104,105,107,109,110,110
14,133,137,141,143,145,147,149,151,152,154,153,155,156,154,154,155,154,153,153,153,152,151,150,149,147,147,145,144,135,139,143,145,147,150,151,152,154,156,157,157,157,157,156,155,158,158,158,154,152,153,153,151,149,149,148,147,137,141,144,147,150,151,153,155,156,159,158,158,158,158,158,158,137,142,155,157,157,153,152,152,151,150,150,149,137,143,147,149,151,153,155,157,158,158,159,160,160,159,158,145,136,122,128,120,143,163,152,151,152,151,151,151,139,144,149,149,152,155,157,159,160,161,162,162,159,172,172,162,153,136,107,88,84,113,157,159,152,153,152,152,141,145,150,152,154,157,158,160,161,162,164,160,169,190,160,134,172,145,111,68,52,52,70,140,161,152,154,152,141,146,151,154,156,158,159,161,163,164,164,171,187,185,138,57,109,97,132,92,35,60,33,39,136,161,153,155,143,147,152,155,157,160,161,163,164,165,166,184,167,126,93,51,37,56,141,120,58,57,59,36,47,158,157,156,144,148,153,156,159,160,162,164,166,171,181,194,146,82,48,31,30,29,102,135,84,62,80,64,40,109,167,155,144,149,154,157,160,162,164,167,166,180,196,193,156,110,69,49,40,31,37,91,102,61,70,59,66,60,151,161,146,150,154,158,160,163,165,167,170,188,199,181,134,97,67,45,46,38,94,148,167,144,92,63,65,46,103,167,147,152,156,159,162,165,167,166,177,199,194,147,92,57,47,40,31,72,178,173,167,173,173,106,66,70,94,167,149,154,158,160,164,165,169,163,185,199,182,158,113,60,40,25,53,170,178,167,170,169,166,95,105,65,99,173,150,155,159,162,165,167,168,169,199,192,170,161,116,76,44,18,26,68,144,178,167,180,137,94,109,59,71,174,152,157,159,163,166,171,163,189,203,183,169,162,109,81,35,23,30,30,46,149,185,148,77,91,100,64,40,143,153,157,161,164,167,168,171,204,192,170,175,157,113,84,33,27,41,50,50,60,97,68,81,99,85,62,34,130,153,158,163,166,170,165,188,204,189,175,176,150,116,78,34,42,63,63,64,60,46,66,84,97,83,43,96,172,154,159,164,167,169,170,204,202,190,174,163,148,112,65,39,58,76,77,74,73,65,66,87,78,53,106,175,169,156,160,164,168,167,182,208,197,182,165,152,141,99,66,49,71,80,82,78,73,70,66,67,53,124,179,171,171,157,161,165,169,167,198,206,190,173,159,143,127,91,69,61,73,85,80,77,64,70,49,45,140,185,171,173,172,158,162,166,169,171,207,200,183,169,150,133,120,91,75,62,73,86,76,70,61,49,79,153,184,175,175,174,172,159,164,168,169,180,213,196,176,161,145,125,109,98,71,61,68,76,73,63,45,126,185,183,177,178,177,175,173,160,164,170,168,197,209,190,163,138,131,121,108,80,62,64,63,67,53,48,133,192,179,178,179,178,176,176,174,160,165,166,182,210,198,179,148,146,136,105,80,58,64,67,48,57,90,158,190,180,182,181,180,179,177,177,176,162,170,163,184,202,189,176,154,144,112,96,77,63,61,50,100,168,191,190,183,185,183,181,179,179,178,178,177,155,159,149,186,198,189,170,154,127,94,88,71,63,41,102,202,192,187,187,185,185,184,183,182,180,180,179,177,52,7,85,202,192,182,164,142,110,83,79,66,51,55,172,190,187,189,188,186,185,184,184,183,181,180,180,178,42,9,64,175,189,173,159,132,94,75,68,59,33,121,196,187,188,188,188,186,186,185,185,184,182,181,179,178
21,171,171,171,172,173,174,174,173,172,173,174,171,170,172,170,169,168,167,167,165,164,163,161,158,158,156,152,150,174,174,175,175,177,177,177,177,176,176,181,166,133,172,173,173,172,171,170,169,167,166,164,162,161,159,156,153,177,178,178,179,180,180,180,181,181,180,181,173,128,148,177,178,176,175,173,173,171,169,168,165,163,162,159,158,180,180,181,182,182,183,183,184,184,184,183,178,147,111,179,181,180,179,177,176,174,173,171,155,132,165,163,161,183,183,184,184,185,185,186,187,187,186,186,185,161,96,165,183,182,182,180,180,178,175,177,148,99,163,166,164,186,186,186,187,188,188,188,189,188,187,189,187,175,116,136,186,185,184,182,182,180,177,183,136,101,168,169,166,188,188,190,189,190,191,191,191,190,190,191,191,190,139,113,186,188,186,185,184,183,183,174,123,115,175,171,169,190,192,193,193,193,193,193,193,193,193,194,194,199,149,102,177,190,188,187,187,185,190,166,108,142,176,173,171,193,194,195,196,196,196,195,196,195,196,197,195,204,165,111,158,191,190,189,188,188,187,152,101,167,179,176,173,196,197,198,199,198,199,199,199,199,199,199,197,201,183,135,139,194,192,191,191,191,171,129,112,181,181,179,175,199,200,200,200,201,201,200,200,200,201,201,200,196,190,151,122,193,194,194,194,192,163,98,148,184,183,181,178,200,201,201,201,202,202,202,201,201,202,202,201,180,159,146,113,187,197,196,200,188,148,102,182,187,184,182,180,201,202,203,203,203,203,203,203,203,203,204,201,196,186,166,129,173,200,197,198,171,122,135,190,189,187,184,182,203,204,205,206,205,205,206,206,206,206,206,197,183,200,192,163,136,172,182,173,146,99,174,193,192,188,186,185,206,207,207,208,208,207,207,207,208,208,208,199,161,142,181,166,150,113,138,142,112,106,194,195,193,190,188,186,207,208,208,208,209,209,208,208,209,209,209,201,157,90,93,161,162,98,81,98,86,126,198,196,193,192,190,188,208,208,208,209,209,209,210,210,210,210,211,204,171,130,101,124,146,97,86,76,72,141,200,198,195,194,192,189,209,210,210,211,212,211,211,211,211,212,207,190,185,174,138,97,137,113,97,100,75,150,201,200,198,196,193,191,211,211,211,213,214,214,214,214,214,214,197,196,191,180,164,143,110,124,110,111,72,129,202,201,199,196,195,192,212,213,213,214,215,215,215,216,216,213,196,184,151,153,171,160,126,90,108,96,70,85,198,201,200,198,196,194,212,213,213,214,214,215,215,215,216,213,198,185,146,92,119,151,118,65,82,116,85,61,150,202,201,199,197,195,212,213,214,215,214,215,215,215,215,213,198,179,147,113,75,107,96,68,74,124,109,69,109,201,199,198,195,193,213,214,215,215,216,215,215,216,217,215,194,184,168,128,89,102,125,86,99,139,121,69,128,201,199,195,173,131,213,214,215,216,217,216,216,217,217,214,191,184,180,125,108,129,191,161,143,141,98,60,169,191,166,117,71,52,214,214,215,217,217,216,217,217,218,216,193,186,169,142,105,135,191,183,150,123,86,61,124,89,66,49,45,47,173,176,181,185,189,192,196,199,202,203,187,176,161,137,99,127,176,166,136,110,82,52,54,48,53,32,41,50,108,108,108,109,111,113,112,113,113,114,142,172,164,130,105,124,171,158,122,91,65,46,45,39,48,26,32,51,109,110,109,110,110,113,114,112,114,113,128,175,162,132,115,111,155,143,105,74,48,41,39,32,42,20,26,49
12,133,135,138,141,143,144,149,152,153,154,154,155,157,155,155,157,156,155,157,157,156,154,155,154,152,152,152,151,136,139,141,144,146,147,151,154,156,157,156,157,158,158,159,159,159,157,160,161,159,157,157,155,155,154,153,153,137,140,143,145,148,149,153,153,156,159,159,158,160,161,159,161,161,162,161,162,162,162,161,159,158,157,155,155,137,140,144,146,148,151,154,155,157,159,160,163,164,162,162,164,165,162,161,163,164,164,163,161,160,160,158,157,139,143,146,148,152,153,156,158,159,162,163,165,164,162,169,167,164,164,168,166,163,164,162,162,162,161,162,159,140,144,146,150,154,156,160,161,162,164,164,163,165,164,148,160,173,155,126,155,169,163,162,164,165,164,164,162,143,146,148,152,154,157,161,164,165,164,166,161,191,189,122,115,202,147,71,78,181,168,174,165,165,166,166,165,145,147,151,154,155,157,161,163,166,165,165,164,226,202,136,103,195,142,69,23,126,111,121,175,166,168,168,168,147,151,154,156,159,160,161,163,164,168,178,124,138,187,127,90,186,134,61,33,149,97,19,129,177,167,170,171,146,150,153,157,160,162,165,168,160,204,193,142,62,125,120,75,179,134,47,85,164,111,31,62,186,169,170,170,147,151,153,157,161,164,167,165,181,227,210,156,81,61,146,74,200,182,84,118,172,126,35,49,184,172,172,170,149,154,156,159,162,165,168,162,207,188,203,159,85,43,166,80,165,166,54,130,217,145,26,54,186,173,173,173,151,154,158,161,163,168,169,168,219,179,185,160,85,21,73,58,18,98,74,129,155,71,0,63,188,173,174,174,154,157,159,162,165,170,165,202,219,156,167,153,88,28,0,1,0,136,187,167,129,96,8,76,190,173,176,174,155,158,161,165,167,169,169,222,197,132,139,146,90,40,21,27,137,173,158,145,116,101,38,103,193,176,178,174,156,158,163,166,169,169,182,221,185,150,109,134,139,40,9,167,204,167,145,127,85,66,36,109,192,177,180,177,157,159,164,168,171,167,201,221,189,167,118,90,105,40,107,221,201,162,139,115,73,58,23,122,194,179,182,179,159,162,163,169,174,167,210,220,190,158,146,100,96,125,201,218,199,153,129,99,62,50,18,144,193,182,182,181,160,163,166,171,175,169,212,219,192,169,154,120,124,136,208,217,188,144,116,88,56,48,6,129,196,179,183,182,162,164,167,171,175,170,209,225,199,180,167,137,110,151,213,208,174,141,105,73,50,39,6,158,193,181,183,183,163,166,170,172,176,173,201,225,201,180,166,143,118,181,203,183,158,132,97,63,47,10,90,198,183,184,184,184,164,168,172,173,177,175,194,221,191,174,152,132,145,188,170,163,141,114,82,56,17,72,194,189,186,186,187,185,165,168,171,173,177,175,200,217,184,172,147,145,170,184,154,152,127,96,73,33,65,190,191,190,189,188,188,187,167,170,173,176,181,173,212,216,193,184,164,163,183,181,151,139,114,91,53,40,176,195,190,191,189,189,189,189,168,171,175,177,183,173,231,226,210,186,173,180,182,163,145,109,92,70,27,123,198,192,193,191,191,191,190,189,168,172,175,177,179,179,236,224,222,193,184,182,165,150,121,85,78,30,89,196,196,196,194,192,192,192,191,189,168,173,176,180,176,185,223,206,211,185,180,165,157,127,101,81,55,42,172,200,196,198,196,193,193,192,192,191,170,174,178,182,172,192,217,183,179,165,164,168,146,109,103,75,31,98,198,198,198,198,197,195,194,194,193,192
14,134,136,138,140,140,140,142,142,143,144,144,143,144,143,143,142,141,140,140,140,138,138,138,136,135,134,133,133,136,138,140,141,142,143,145,146,145,146,146,145,147,146,146,146,144,143,142,142,141,141,139,138,137,137,136,135,139,140,141,143,144,146,146,147,147,148,148,147,149,149,147,148,146,146,145,144,143,141,141,141,139,140,139,137,139,141,143,145,146,147,150,149,150,150,150,150,148,148,149,151,150,147,146,147,146,144,143,142,141,141,140,139,140,142,145,146,147,149,152,152,152,152,152,152,162,141,133,142,141,152,150,148,148,147,146,144,143,142,142,141,141,144,147,148,149,151,152,153,153,153,156,169,162,145,131,127,114,124,151,151,149,148,148,147,146,145,144,143,144,146,148,151,152,152,153,155,156,157,172,169,163,149,152,138,110,83,94,160,151,151,150,148,147,146,146,145,147,148,150,152,154,154,153,157,155,167,174,171,150,71,131,131,123,89,37,107,161,151,152,149,149,148,147,146,148,149,151,153,154,157,155,158,162,178,144,100,89,52,48,61,137,129,43,53,152,154,153,152,151,149,149,148,149,151,153,156,158,160,158,175,187,173,128,77,40,36,28,10,112,155,93,47,137,160,154,154,152,151,150,150,152,154,154,157,160,158,168,188,173,135,107,84,51,17,36,15,55,111,91,46,109,165,155,155,154,153,152,151,152,154,156,159,159,158,187,183,158,108,57,54,44,29,18,48,145,126,128,82,84,167,155,157,156,154,153,153,152,154,157,160,155,184,193,171,156,106,60,30,32,18,67,156,166,158,136,63,83,168,158,159,156,156,155,154,154,157,161,154,176,198,177,170,138,93,70,35,19,47,166,171,161,142,124,54,71,172,159,162,160,159,158,156,156,159,158,166,201,189,179,164,132,104,65,19,7,81,154,171,164,129,116,61,36,141,168,161,162,161,159,158,158,162,157,191,203,188,173,154,129,90,51,20,33,39,43,151,142,110,107,76,46,100,176,162,164,161,161,159,161,159,171,206,197,183,167,151,108,69,36,41,63,64,60,67,93,121,111,73,48,137,172,165,164,162,162,161,159,159,195,200,187,175,157,135,91,69,41,67,78,81,86,71,84,114,98,46,115,176,166,167,165,165,164,163,161,176,206,190,180,163,151,125,92,69,58,79,83,86,79,85,79,105,59,90,176,166,168,167,166,166,164,163,138,203,204,183,167,159,141,122,99,65,66,83,83,81,69,87,73,50,79,175,171,170,170,168,167,167,165,164,52,124,191,175,147,134,119,106,71,58,64,72,79,72,67,68,34,65,169,176,171,171,171,170,168,167,167,165,55,43,80,131,142,110,78,49,38,52,52,59,68,60,47,68,118,174,178,172,173,172,171,171,170,169,167,166,47,50,42,51,63,58,45,34,33,38,38,36,37,42,97,174,187,177,176,175,173,173,173,172,171,170,168,167,44,42,46,45,6,5,15,12,10,12,5,44,96,140,186,180,177,178,177,177,176,174,173,172,172,171,169,168,42,41,37,46,34,0,7,5,0,1,0,22,170,192,177,180,180,179,178,178,177,175,175,173,173,172,171,170,40,37,36,40,39,0,0,2,0,0,0,5,162,186,180,181,181,181,179,178,178,176,176,175,174,173,172,171,30,33,30,37,39,0,0,0,0,0,0,71,199,180,183,183,182,181,180,180,179,178,177,177,175,173,172,172,41,69,22,42,23,0,0,0,0,0,0,120,197,180,184,183,182,181,180,180,180,178,178,177,176,174,174,173
21,128,129,135,140,145,149,151,153,157,160,163,164,166,169,171,171,171,173,173,173,175,175,175,174,175,176,176,176,129,132,137,142,147,150,153,155,159,162,164,166,169,172,173,173,177,175,177,177,177,176,176,177,178,178,177,177,130,133,139,144,148,153,155,158,161,164,166,169,171,173,178,159,143,180,177,178,178,180,183,180,181,181,181,181,131,135,141,145,150,154,157,160,163,165,168,171,174,175,182,167,101,173,182,180,182,170,161,185,183,182,183,183,134,137,143,148,152,156,159,162,164,167,170,173,176,176,184,176,107,155,189,182,184,174,114,166,190,185,185,184,136,138,144,151,154,158,160,163,167,170,172,175,179,178,185,178,114,136,192,182,186,182,120,140,195,185,186,186,136,140,146,152,156,159,162,166,168,172,174,177,180,182,184,180,129,124,190,185,188,180,126,126,195,186,187,187,138,142,148,153,158,160,164,167,170,173,176,180,181,183,184,191,155,119,181,189,189,182,133,119,194,189,189,189,139,143,150,155,160,163,165,168,172,174,177,180,183,184,184,195,165,119,166,194,189,188,150,116,191,192,192,191,140,144,151,156,161,164,166,170,173,176,179,182,183,186,187,200,170,125,148,198,189,189,158,113,186,195,193,194,141,146,153,158,161,164,168,171,174,177,180,183,184,184,179,205,188,146,138,198,193,187,163,113,180,198,194,195,141,147,154,158,162,166,169,172,175,178,181,184,186,182,167,172,204,169,136,192,194,196,179,120,177,199,195,195,142,147,154,159,163,167,171,174,177,180,183,184,195,210,199,166,160,157,131,187,197,196,182,120,175,201,195,195,143,149,156,160,165,169,172,175,178,180,183,186,190,186,195,189,155,117,105,168,196,184,176,119,173,203,196,197,144,149,156,161,166,170,172,175,179,182,185,187,187,170,153,144,164,136,128,126,142,162,164,117,169,207,197,199,146,151,158,162,167,171,174,177,179,183,186,187,193,200,181,134,131,169,172,162,127,113,145,111,162,208,197,199,146,153,159,163,167,171,175,178,180,184,187,191,182,173,188,153,94,129,180,176,142,94,112,101,162,209,199,200,147,153,159,164,167,171,174,178,181,185,187,191,183,119,149,164,108,74,125,167,153,123,93,86,155,210,199,201,147,154,161,165,168,171,175,178,182,185,188,192,181,155,137,153,138,109,58,134,175,148,108,78,134,212,201,203,146,153,160,165,168,172,176,179,181,185,189,191,195,181,131,110,138,124,74,98,177,169,134,93,111,210,202,203,145,152,159,163,167,170,175,178,182,185,188,189,201,176,149,127,101,94,103,131,175,187,150,121,101,197,206,204,147,154,159,164,168,171,175,179,182,185,189,189,203,196,175,127,107,114,135,192,192,175,149,125,99,191,206,203,148,154,160,165,169,172,176,180,182,186,190,190,202,198,161,121,126,135,158,212,193,167,134,113,97,193,207,203,148,154,161,165,169,173,177,180,182,186,188,189,199,196,157,145,139,128,172,214,185,158,128,103,98,195,206,204,147,154,161,164,169,173,176,179,182,186,188,189,195,192,172,151,133,130,178,210,181,153,123,103,100,198,206,205,150,157,163,168,172,176,180,183,187,190,192,194,195,189,176,140,140,139,173,202,178,152,118,99,104,200,204,204,126,129,135,141,143,148,153,158,164,169,172,175,180,186,176,144,160,142,162,191,162,138,113,94,113,210,207,208,103,104,103,103,104,105,107,109,111,111,113,113,119,175,178,155,163,148,152,183,147,122,105,96,106,153,156,160
21,202,202,202,203,204,204,204,204,203,203,204,200,203,203,200,199,199,198,197,196,194,194,191,188,188,186,182,180,204,205,205,206,208,208,207,207,207,205,214,196,160,206,204,203,202,201,200,199,198,196,194,193,191,190,186,184,207,208,209,210,211,211,210,211,212,210,212,211,148,175,215,207,207,206,204,203,202,199,199,196,198,193,190,188,210,211,212,212,213,213,213,215,215,215,212,213,175,135,215,211,211,210,208,207,205,202,204,185,160,199,194,191,213,214,214,215,216,216,217,218,217,216,216,218,195,116,195,219,212,212,211,211,209,204,210,180,121,194,198,194,216,217,217,218,218,219,219,219,218,218,219,219,211,137,164,226,213,214,212,213,211,207,219,164,126,202,200,196,219,219,220,220,220,222,222,222,221,220,221,223,225,165,139,222,218,217,215,215,212,215,210,145,142,213,200,200,220,222,223,224,224,224,224,224,224,223,225,225,233,180,123,208,224,218,217,218,213,224,203,128,170,215,202,202,224,225,226,227,226,227,226,226,226,226,228,225,239,199,130,188,230,219,219,218,220,221,185,125,198,213,206,204,226,228,229,229,229,230,230,229,229,229,230,226,234,221,156,167,233,221,222,221,223,206,152,137,219,210,210,205,230,231,231,231,231,232,231,231,231,232,231,231,227,225,180,150,228,225,224,226,225,199,116,175,223,213,211,209,231,232,232,231,233,233,232,231,232,233,233,234,209,185,177,137,218,230,225,231,224,177,125,219,219,214,213,210,232,233,234,234,233,233,233,234,233,233,235,231,229,218,198,152,204,240,228,231,209,141,162,231,217,218,215,213,233,235,236,236,235,236,236,236,237,236,239,226,211,240,229,196,158,205,219,205,180,120,205,229,221,219,217,215,236,238,237,239,239,238,237,237,238,238,240,232,187,170,222,199,179,137,168,179,134,134,233,224,224,220,219,217,237,238,238,239,239,239,239,239,240,239,240,234,190,103,110,207,200,121,105,132,106,155,239,224,224,223,220,218,238,239,239,240,240,240,240,241,241,240,243,239,201,161,117,156,185,121,115,105,92,170,242,226,226,224,223,220,240,240,241,241,242,242,241,241,241,243,238,219,219,209,171,117,169,147,126,137,96,181,242,228,229,226,224,221,242,241,242,244,244,245,245,245,245,245,226,226,227,214,197,174,135,161,140,149,90,159,245,229,230,227,225,223,242,244,244,245,246,246,246,246,247,243,227,217,176,184,213,195,157,117,143,129,90,112,241,231,231,228,227,224,242,244,244,244,245,246,245,246,247,244,229,217,173,108,146,193,153,85,111,151,116,78,179,243,229,230,227,224,243,244,245,245,245,245,246,246,247,243,230,213,178,144,94,137,124,93,100,159,147,86,132,243,226,227,229,232,243,245,246,246,247,246,246,247,248,246,224,213,204,160,111,134,159,102,129,179,159,85,153,245,232,235,209,160,242,243,244,246,246,246,246,247,247,246,219,214,215,155,133,160,238,192,174,177,127,80,210,236,200,148,95,73,251,251,252,253,253,251,251,251,252,251,224,220,198,176,130,162,232,220,182,153,114,88,161,118,90,70,72,78,203,207,212,217,221,224,228,232,236,238,221,206,192,170,119,156,213,193,166,142,113,82,75,75,84,62,72,81,132,132,133,133,136,138,137,139,140,135,171,207,196,162,127,154,210,190,153,121,94,75,76,70,81,54,61,84,142,142,141,141,141,144,145,142,145,137,157,211,192,163,140,140,191,174,134,102,77,70,70,63,72,49,55,81
11,185,188,190,192,193,194,195,197,197,198,198,198,197,201,200,201,200,199,199,199,198,197,197,197,195,193,192,191,186,190,192,192,194,196,198,198,199,200,199,202,205,195,204,204,203,201,201,201,200,199,199,199,199,197,194,193,190,192,194,196,196,198,199,201,202,204,200,212,221,149,203,206,204,203,203,204,204,202,201,201,201,200,197,196,192,193,196,198,199,200,202,205,204,206,200,228,220,128,198,207,205,205,206,206,206,205,205,204,202,201,199,198,193,195,198,200,201,201,203,206,206,207,203,253,200,127,206,207,207,207,206,207,207,207,206,205,204,203,202,200,196,198,200,201,202,204,206,207,209,203,222,255,161,141,215,206,208,209,209,208,209,207,208,207,205,204,205,202,198,200,201,203,205,206,206,208,210,202,249,254,139,175,218,209,211,212,213,210,209,209,210,209,208,206,205,204,200,202,204,206,207,207,207,211,206,219,255,221,128,198,216,213,213,213,214,212,211,212,213,210,209,208,207,206,200,203,205,206,208,210,211,212,211,254,255,175,133,218,215,215,215,215,215,215,214,214,213,212,211,209,208,208,201,204,206,208,210,212,213,208,232,255,245,130,161,225,214,215,216,217,217,216,215,215,215,214,214,213,210,209,205,207,209,210,212,213,215,210,247,255,223,110,200,224,216,217,215,217,218,218,218,216,215,214,214,213,213,211,206,208,210,212,214,216,216,220,255,255,203,172,237,193,215,220,218,219,219,220,221,219,216,217,215,214,214,213,207,210,212,213,216,216,209,240,255,255,255,255,219,138,192,226,219,220,221,221,222,220,219,218,217,216,215,215,207,210,214,214,212,217,229,255,255,255,255,207,143,125,175,228,220,222,223,222,221,221,220,219,220,218,216,215,209,211,214,217,240,255,255,255,255,250,231,188,124,120,156,229,221,223,224,224,224,223,221,221,222,221,217,216,210,214,211,241,255,255,255,255,255,219,138,150,127,129,138,224,225,225,225,225,225,224,223,223,222,221,220,218,212,214,218,255,255,255,255,255,254,195,131,127,129,129,134,217,229,225,227,226,225,225,225,225,223,222,222,221,215,212,235,255,255,255,255,239,202,206,155,124,123,130,135,217,229,227,229,227,225,226,226,226,224,223,223,223,217,213,252,255,255,248,210,165,137,216,181,132,116,117,148,227,228,226,229,228,227,227,227,227,227,224,223,223,215,223,255,255,250,194,144,100,80,219,196,128,128,182,219,233,236,236,236,232,230,235,231,227,227,224,225,224,212,240,255,255,228,179,138,89,150,220,140,99,139,227,234,225,211,185,161,150,150,167,219,234,227,228,227,227,216,255,255,253,207,154,117,85,136,147,79,87,81,98,131,134,135,132,128,135,132,118,127,209,234,228,228,228,232,255,255,234,173,126,100,89,87,90,88,92,98,92,103,128,146,158,152,149,140,126,102,139,239,224,227,227,255,255,255,208,159,123,93,87,87,91,99,106,113,117,137,152,152,151,153,161,184,191,164,183,235,226,226,226,255,255,244,190,149,114,84,87,97,113,125,127,130,135,150,144,168,204,227,235,238,239,241,236,229,230,241,184,255,255,225,176,141,108,85,107,125,138,146,145,141,129,146,196,240,241,238,236,234,234,232,233,240,228,178,117,255,251,206,163,132,108,96,130,146,145,144,151,129,172,229,241,236,235,237,237,235,236,235,240,208,138,105,97,255,233,184,151,130,109,102,133,141,142,144,131,170,246,238,236,238,237,237,239,239,237,241,206,126,112,104,93
7,207,206,207,207,207,207,206,206,205,205,204,203,202,201,199,198,198,196,194,192,191,190,187,186,184,182,180,178,208,208,208,208,208,209,208,208,207,207,206,206,204,203,202,201,200,199,198,195,193,193,191,189,187,185,181,180,209,209,209,210,211,210,210,210,209,209,209,208,207,206,204,202,202,201,200,197,196,194,193,191,188,188,185,183,210,211,211,211,213,212,212,213,211,211,210,210,208,208,206,204,205,203,202,202,200,198,197,193,191,190,186,185,213,213,214,214,214,214,215,215,214,213,211,211,210,211,210,209,206,201,194,186,185,182,191,197,194,192,189,187,214,215,214,214,214,214,215,215,214,215,215,215,210,198,187,174,169,165,146,140,183,179,159,198,196,194,192,189,216,216,216,216,217,217,218,219,216,208,196,180,165,155,132,143,142,131,129,128,152,142,150,203,199,196,193,190,216,217,217,218,218,210,195,181,173,162,154,145,145,135,121,122,117,107,110,96,88,120,149,153,185,198,195,193,217,218,219,211,181,155,146,147,150,153,150,143,135,114,115,110,107,110,112,108,105,96,88,110,127,197,197,194,219,221,209,183,170,142,129,138,129,125,122,120,123,131,143,134,103,113,119,99,94,82,77,99,105,192,200,196,219,200,183,182,169,139,119,110,107,118,132,149,154,149,138,120,86,90,92,74,73,73,81,105,156,202,200,197,190,177,180,179,168,159,148,150,151,157,160,147,142,132,121,95,73,80,105,132,160,179,195,205,206,202,201,198,174,176,179,175,172,167,150,139,131,132,129,112,106,102,100,113,147,186,212,217,216,212,210,208,206,203,201,199,177,181,178,177,176,157,118,89,96,95,81,67,60,100,200,221,222,221,216,215,213,211,209,209,207,203,200,199,183,182,179,173,154,136,90,69,74,60,52,51,50,46,107,222,219,219,217,216,215,212,210,209,208,204,201,200,181,183,174,151,141,127,99,87,66,53,53,51,51,43,99,215,220,216,216,215,213,209,209,208,206,204,203,204,183,180,162,148,138,134,139,135,85,56,57,57,49,104,210,219,219,216,215,214,212,209,207,206,205,206,188,149,184,173,149,135,131,136,144,124,71,54,49,39,81,216,224,221,220,217,216,215,214,211,211,211,200,167,93,58,173,146,123,122,120,120,120,87,60,47,44,46,73,225,221,221,218,217,216,215,217,211,187,145,98,64,56,48,146,131,127,129,122,108,98,83,73,55,54,47,126,226,221,221,224,222,222,217,164,109,78,60,54,53,55,45,135,136,134,128,107,83,85,101,89,56,50,123,225,227,226,212,170,156,153,117,74,65,52,51,52,53,54,42,135,126,111,91,77,81,96,103,74,54,86,156,164,151,135,93,58,59,51,55,51,56,55,35,44,52,55,41,118,97,89,88,88,87,83,68,61,95,106,95,81,77,75,52,36,53,40,50,43,42,47,28,35,46,53,36,106,101,101,95,83,74,68,73,108,125,104,83,72,64,56,55,29,42,39,37,39,39,38,24,29,42,50,29,92,90,87,81,72,74,96,116,116,98,79,64,58,50,49,43,35,26,39,30,34,34,32,23,29,41,46,25,70,77,83,88,99,111,116,115,102,64,53,55,52,41,44,39,38,17,29,27,29,34,28,23,32,38,44,22,111,116,119,124,117,114,113,103,70,53,38,45,49,36,38,33,34,16,19,28,26,34,25,23,33,36,41,19,117,119,117,121,115,113,105,81,45,42,39,36,45,30,32,25,30,21,15,26,26,34,21,27,33,38,40,16
22,182,183,185,186,186,186,187,188,187,188,189,189,188,188,188,188,187,187,189,187,185,186,184,186,164,71,27,27,183,185,187,188,188,189,191,190,190,191,192,192,192,191,191,191,192,191,192,191,188,188,186,188,170,59,35,44,186,188,189,190,191,192,193,193,193,194,195,194,194,194,193,194,195,195,194,193,192,191,190,187,193,105,36,57,187,190,192,192,192,193,194,196,196,195,197,197,194,196,199,196,196,197,194,198,195,194,193,190,195,146,44,48,190,193,194,194,195,197,198,198,199,199,199,199,205,176,183,203,198,202,188,165,201,196,196,193,193,194,67,36,192,195,196,196,199,199,199,200,201,201,200,198,220,166,153,211,199,208,195,121,199,199,199,196,193,172,88,14,194,196,198,199,200,201,200,201,203,202,202,201,220,164,143,214,201,205,181,117,196,201,201,197,209,131,112,81,195,197,199,201,201,201,204,203,204,205,205,202,226,183,134,212,204,206,186,123,192,205,201,205,200,117,147,158,197,200,201,203,204,203,205,205,206,207,207,202,228,211,132,208,206,208,194,132,195,207,201,213,180,125,150,182,198,200,202,205,206,205,207,207,208,208,208,205,221,233,135,202,211,206,186,136,200,209,205,226,172,131,189,182,200,201,203,204,205,207,207,207,208,208,209,207,217,245,139,182,216,203,186,133,198,210,211,225,152,146,212,154,201,202,204,206,207,208,208,207,208,209,209,208,215,250,178,148,218,206,199,141,196,210,220,209,126,163,216,170,201,203,206,207,208,209,210,209,210,212,212,211,212,243,207,130,203,202,198,143,199,215,224,193,115,186,212,199,203,205,207,208,209,209,210,212,212,211,212,215,209,231,200,152,159,150,193,162,208,224,220,166,127,211,207,206,204,206,207,208,209,209,209,212,213,213,214,214,217,242,211,188,182,96,144,180,197,196,197,135,161,219,207,207,202,202,204,207,208,208,209,210,210,211,214,210,232,222,231,186,196,153,119,125,149,154,150,116,202,213,209,208,202,203,206,208,208,209,211,210,210,211,212,213,231,184,211,183,158,200,182,117,96,133,116,123,218,208,208,207,202,204,207,208,209,210,211,210,211,214,212,224,235,204,190,185,100,172,194,165,108,96,97,133,219,207,207,207,201,203,206,207,207,209,210,211,212,215,212,230,228,184,147,184,101,84,173,193,166,103,76,150,221,208,208,207,207,210,213,213,211,213,214,213,215,219,212,227,231,178,149,153,123,68,139,217,205,160,83,170,220,208,208,207,174,178,182,186,189,193,198,200,204,208,206,219,242,192,154,124,138,150,201,206,221,190,125,135,227,219,218,215,97,98,100,103,103,104,107,108,111,117,108,179,249,219,152,132,165,216,234,218,212,187,148,110,165,163,164,173,102,103,103,104,102,102,102,102,101,106,90,169,252,239,154,140,160,223,236,228,203,172,126,93,97,122,156,187,104,102,101,103,105,105,105,106,107,108,100,168,244,240,157,158,154,226,241,226,197,167,103,137,212,217,225,230,101,101,101,101,103,103,104,106,107,109,99,144,241,238,173,178,149,219,247,213,187,152,93,168,224,209,209,222,100,102,102,101,102,102,103,105,106,106,102,116,229,236,193,178,154,203,234,192,166,128,94,161,186,205,207,209,99,100,101,102,103,102,102,105,105,104,106,101,204,234,200,168,148,176,217,171,136,104,100,185,146,160,189,206,100,101,102,102,107,103,102,104,105,106,106,99,193,217,180,154,134,137,187,151,117,90,117,204,141,142,179,202
10,120,121,121,122,122,124,125,125,124,125,126,124,124,124,122,121,120,119,118,117,113,125,115,75,110,107,106,104,124,124,125,127,127,128,129,130,129,129,128,129,128,128,127,126,125,122,122,122,115,136,126,52,103,111,107,106,129,130,131,132,132,133,134,134,135,135,133,132,133,133,131,131,129,127,126,126,120,140,128,54,98,118,110,110,134,135,136,136,138,138,138,139,139,138,138,137,138,136,136,134,133,132,130,130,124,144,117,48,96,124,114,113,138,140,140,141,142,142,142,142,143,143,143,144,143,141,140,139,138,136,134,134,129,147,122,51,96,128,118,118,142,143,144,146,146,146,147,146,148,148,146,148,148,147,145,144,142,140,138,138,133,155,128,57,102,132,122,121,146,147,148,148,149,150,151,151,151,150,150,151,152,150,149,148,145,144,142,140,140,162,119,102,105,133,126,124,150,151,151,152,152,153,154,155,154,154,154,155,155,154,152,151,150,149,147,146,148,156,137,126,55,136,130,127,151,154,155,155,156,156,157,157,156,156,157,157,157,157,156,155,154,153,149,146,120,111,145,125,35,118,140,130,155,156,157,158,159,158,159,160,160,159,158,159,161,160,160,158,156,157,157,160,148,113,93,108,59,47,145,134,158,159,160,161,163,162,163,164,164,163,163,163,164,163,163,163,160,148,130,145,164,134,100,65,70,31,88,148,162,163,163,164,164,164,166,165,165,166,166,166,165,166,163,159,166,138,99,66,89,148,147,108,46,42,49,149,164,164,166,166,166,167,168,167,168,167,168,168,167,168,145,102,121,163,131,80,0,85,142,75,32,25,59,152,167,166,168,169,169,169,170,170,170,170,170,170,168,166,155,126,84,148,159,107,26,0,30,79,61,23,69,158,168,168,169,170,170,171,171,171,171,171,171,172,170,157,157,157,115,103,166,118,64,10,11,117,109,32,76,161,170,170,171,172,173,173,172,173,174,173,174,172,169,140,110,147,129,61,123,132,68,18,40,112,129,45,70,162,171,172,173,174,175,174,175,176,176,176,177,173,170,153,89,86,113,32,64,137,68,26,52,108,117,41,65,162,172,173,175,176,177,176,176,177,178,177,178,176,161,141,111,71,90,59,43,127,121,59,56,110,76,25,87,166,173,176,176,176,177,178,177,179,179,178,178,175,167,173,147,88,79,87,50,104,144,84,45,89,54,19,129,163,176,177,177,178,178,179,179,179,180,180,180,179,166,177,156,118,89,80,76,134,130,62,40,72,44,37,161,158,177,178,179,179,179,180,181,180,181,182,184,184,167,172,167,134,101,93,110,173,162,115,77,70,34,70,172,157,177,179,180,180,181,182,182,182,183,184,185,185,171,157,161,142,116,105,114,166,163,135,95,68,23,107,173,158,175,177,178,180,180,179,179,181,183,184,184,186,176,153,159,149,139,120,114,159,153,119,79,54,27,147,168,162,176,176,178,179,179,180,180,181,184,184,184,184,185,156,145,154,149,125,103,142,130,100,68,29,57,172,160,161,178,177,178,181,181,183,184,183,185,185,185,184,186,173,136,145,139,121,96,113,113,83,54,12,114,175,160,160,179,179,180,181,182,183,183,183,183,184,185,185,184,184,155,143,131,114,96,96,112,83,36,45,169,166,164,161,177,180,182,184,186,188,189,188,190,191,191,191,192,186,164,145,128,122,111,95,107,77,21,107,179,163,165,168,97,99,105,109,113,119,124,129,133,137,141,146,153,152,157,150,131,138,118,100,100,65,22,133,171,162,157,115
11,129,133,138,142,144,147,149,152,154,156,157,159,160,163,165,165,167,168,168,169,171,171,172,172,172,172,171,170,130,134,139,142,145,149,151,153,155,157,159,161,164,165,166,167,168,170,171,172,173,173,174,173,174,174,173,172,131,135,140,143,145,149,152,154,157,158,160,162,165,166,166,168,170,171,172,173,174,174,175,174,175,175,174,174,132,137,141,145,147,149,151,154,158,159,161,163,165,167,167,166,171,172,173,174,174,174,175,175,175,176,176,176,133,138,143,145,148,150,153,156,159,162,164,165,166,168,171,156,135,175,175,176,176,176,177,177,176,177,177,177,135,139,143,147,149,152,154,158,160,163,164,166,168,168,175,160,103,169,177,177,177,178,179,179,178,178,179,177,135,139,143,147,151,153,155,159,162,164,166,167,169,169,183,153,101,170,178,179,178,178,179,179,179,178,178,177,135,140,145,149,151,153,157,160,163,165,167,168,169,170,190,133,110,179,178,179,180,179,179,180,180,179,180,180,136,141,146,150,151,153,157,160,163,166,168,170,170,178,190,123,127,182,180,181,181,181,181,181,181,181,180,180,137,142,146,150,152,155,158,160,164,167,168,168,170,189,164,107,147,182,181,181,182,182,182,182,182,181,181,181,138,143,146,150,153,156,159,161,164,166,167,168,170,192,127,100,169,181,181,181,181,182,182,182,182,181,181,181,138,143,147,150,154,155,159,162,163,163,177,175,133,143,111,115,182,181,181,181,182,183,183,182,183,182,181,181,138,143,147,150,154,158,152,162,179,145,146,163,120,94,96,148,184,181,182,182,182,183,183,182,183,183,182,181,138,143,148,170,190,181,144,110,172,138,102,141,113,84,90,172,181,181,182,183,183,183,184,184,184,183,184,184,138,141,165,174,165,181,143,99,156,120,110,151,105,75,106,184,181,182,183,183,183,185,185,185,185,184,184,184,138,145,169,156,138,170,138,101,148,104,126,142,95,70,129,187,182,183,183,183,184,185,186,186,186,186,184,183,136,158,174,138,111,152,127,97,132,96,137,124,81,68,145,186,181,182,183,184,185,185,186,186,186,186,185,184,136,179,172,140,115,135,99,101,112,89,130,106,73,64,151,186,182,183,184,185,184,187,188,186,186,185,185,185,147,193,166,142,117,116,89,111,90,94,140,86,64,71,131,183,182,179,172,163,158,155,171,188,186,186,185,185,165,194,160,140,119,104,97,126,69,75,117,75,92,110,115,149,164,170,168,159,149,132,121,149,188,187,185,185,169,184,164,147,128,109,106,119,105,122,133,143,147,145,150,160,165,160,148,132,125,129,122,101,174,188,186,186,163,182,168,154,135,118,129,154,166,163,159,161,157,144,147,147,125,121,135,149,169,181,169,151,180,188,187,186,166,189,169,157,137,124,141,168,163,155,161,155,145,119,113,112,140,172,187,190,189,189,189,190,188,187,187,187,182,188,161,148,129,125,141,159,154,152,153,136,112,93,123,168,187,187,187,187,187,188,188,188,188,188,188,188,192,160,144,135,129,131,138,143,148,144,126,95,97,147,182,185,186,186,186,187,188,189,189,188,188,188,188,188,190,155,141,142,140,135,135,128,131,113,86,118,169,184,182,183,186,186,186,187,188,189,188,188,188,189,188,188,184,168,133,152,153,138,129,111,103,90,138,176,178,178,179,181,183,184,183,185,186,187,187,187,186,187,188,192,182,171,130,160,156,133,113,98,82,131,176,174,175,177,178,180,181,183,183,184,185,185,186,186,197,205,207,207
4,163,163,163,163,164,165,165,163,165,165,164,166,166,166,166,166,166,166,166,165,167,166,163,163,164,163,162,162,164,165,164,165,165,166,166,166,166,167,166,167,166,166,166,166,167,167,166,166,166,166,166,166,165,166,164,163,166,167,167,166,166,167,166,167,167,167,166,166,166,168,170,168,168,169,172,169,167,167,167,166,166,166,166,164,166,168,167,167,168,168,167,167,168,168,169,169,169,156,148,164,167,150,146,169,171,170,167,167,167,167,167,165,167,168,169,168,168,169,169,168,168,168,160,166,196,173,136,129,177,152,116,117,166,157,170,171,169,169,168,167,168,168,168,170,169,169,171,171,169,180,176,151,154,200,160,116,182,174,130,85,142,119,110,170,171,169,168,168,169,168,168,169,171,171,172,170,174,191,191,164,115,181,172,106,176,181,131,118,172,139,79,113,179,168,170,169,169,171,171,172,171,173,174,169,182,173,184,165,113,158,174,90,156,184,118,122,177,138,89,91,178,171,171,171,170,172,172,172,173,173,172,174,193,150,173,170,100,138,179,108,124,164,102,130,184,157,89,104,182,171,173,171,170,172,172,173,174,174,170,183,178,121,135,176,111,118,180,157,145,146,150,173,189,161,101,119,184,172,174,172,172,172,172,173,175,174,174,187,178,151,127,152,111,93,124,156,157,157,171,173,169,145,125,95,174,175,175,174,172,172,172,173,175,173,184,185,169,154,128,107,81,83,98,95,130,138,144,155,145,131,147,84,140,184,174,175,172,173,173,173,174,174,186,174,148,125,119,103,81,89,108,76,106,111,113,125,113,146,153,101,101,185,174,175,172,173,174,174,175,174,189,178,148,116,97,92,87,99,105,103,135,132,110,78,135,183,160,129,80,161,181,175,172,173,174,174,176,175,196,191,162,128,98,81,87,107,98,133,155,148,122,137,151,179,174,155,92,115,188,174,172,173,173,174,175,178,195,194,169,131,97,86,87,109,120,159,146,155,164,180,178,167,180,148,101,89,183,177,171,172,173,174,173,179,196,195,179,132,98,99,91,97,128,147,155,175,181,174,177,162,150,131,106,80,169,180,171,172,174,174,172,179,197,192,184,134,105,119,105,110,138,151,172,178,176,170,164,154,127,111,95,92,176,178,172,173,173,174,173,182,193,191,173,139,135,124,111,150,169,179,185,180,172,161,150,136,114,92,79,152,182,177,172,173,173,174,173,182,194,190,177,157,147,128,111,166,185,184,189,178,164,151,140,122,102,74,126,184,178,179,173,174,174,175,174,176,196,189,187,170,147,146,119,155,187,184,184,169,149,140,131,111,85,95,179,179,180,179,173,173,173,174,175,168,189,191,193,177,157,149,132,153,186,180,174,159,140,129,115,99,76,155,186,179,180,178,176,176,177,177,179,169,180,190,182,168,159,147,138,151,176,171,161,148,129,119,105,78,110,186,179,180,180,179,154,157,162,162,166,160,177,192,174,159,159,151,140,149,160,159,146,132,118,112,94,80,171,189,186,185,185,185,92,93,93,94,100,89,164,192,170,164,166,158,143,148,157,154,142,120,107,104,80,103,157,154,160,162,157,156,89,89,87,88,91,75,157,194,172,171,167,158,144,149,160,159,141,107,98,89,82,87,88,88,81,83,111,123,91,90,92,92,95,79,158,198,174,171,170,166,146,145,160,156,124,95,89,79,87,90,86,89,122,147,178,193,90,90,91,91,95,78,154,202,175,172,177,179,148,133,157,143,107,90,81,84,101,103,124,159,200,186,147,168
3,128,139,148,153,157,162,167,171,174,177,178,180,182,183,183,183,187,186,183,184,184,183,183,182,181,180,179,178,134,145,152,157,163,168,173,178,180,183,185,187,188,188,189,196,158,179,193,189,191,189,188,188,186,185,183,182,139,150,158,162,167,174,178,183,186,189,191,192,194,194,195,203,122,126,208,194,196,196,196,195,192,191,189,187,144,155,163,168,173,180,184,189,192,195,197,198,200,201,203,203,122,86,202,201,201,202,200,200,198,195,193,192,148,159,169,171,178,184,190,194,197,200,202,203,205,205,207,212,126,69,186,211,205,206,204,204,202,200,198,197,152,163,173,177,181,188,194,199,201,204,207,207,210,211,211,218,140,65,169,221,208,209,209,208,206,204,203,203,156,167,176,180,186,192,198,204,206,209,210,212,215,215,213,238,166,69,146,229,214,215,215,213,210,209,207,206,160,170,179,183,190,195,201,206,210,213,214,217,216,219,201,207,151,61,128,231,216,219,219,217,215,213,212,211,163,175,183,187,193,199,205,210,212,215,218,222,222,251,218,150,98,78,118,231,222,222,222,222,220,218,216,215,168,178,185,191,197,203,209,214,215,219,223,210,177,231,251,185,87,149,133,218,230,226,226,226,224,223,220,218,170,180,187,193,201,206,211,216,220,219,240,230,181,171,255,198,153,209,94,179,241,229,230,228,227,225,223,222,174,183,190,195,204,209,213,219,224,197,191,246,231,164,222,195,167,182,78,105,241,232,232,231,230,228,227,225,175,185,193,198,205,210,216,220,235,226,188,178,238,178,185,192,132,181,123,76,172,247,231,233,232,233,231,229,178,188,195,201,208,212,219,226,223,240,230,151,168,203,147,196,132,156,165,106,108,246,234,235,234,233,231,231,179,189,197,202,209,215,222,228,214,161,192,126,96,173,102,195,194,111,162,119,106,242,239,238,237,236,236,234,181,190,198,204,210,217,223,229,227,155,161,129,76,145,108,107,108,57,139,126,100,242,242,240,239,237,237,235,182,191,199,206,212,218,225,229,239,203,138,127,95,122,175,94,31,81,172,137,85,223,249,240,241,240,239,239,182,190,197,205,213,219,225,230,234,188,126,103,84,66,128,106,87,138,192,139,78,203,255,242,242,242,241,240,183,190,197,205,213,218,224,228,234,219,166,113,85,71,88,165,184,188,163,120,88,217,252,242,243,242,242,241,183,192,200,206,213,219,225,228,239,230,176,123,113,122,137,235,244,205,157,98,105,243,245,241,242,243,239,235,185,195,202,208,214,219,226,229,235,232,196,151,133,125,154,238,232,186,148,92,133,255,250,245,248,220,196,232,178,189,198,206,214,221,229,235,239,231,201,163,135,129,148,228,224,172,132,84,163,249,223,226,224,175,170,234,107,109,115,120,128,132,136,144,150,210,206,165,152,152,134,216,213,162,116,83,155,220,188,169,215,131,179,220,102,104,106,108,106,107,107,109,99,158,212,178,163,160,125,187,195,145,101,93,189,180,195,162,177,115,202,207,105,107,108,111,112,114,119,121,113,131,216,185,160,152,114,142,163,112,87,145,198,168,175,183,129,128,213,200,105,107,109,108,112,112,111,116,105,180,246,186,154,135,103,115,119,94,102,174,189,168,169,171,115,166,202,201,104,106,109,109,112,112,112,114,107,211,242,183,152,123,108,110,105,80,153,170,152,169,161,150,148,176,196,202,103,105,109,108,108,110,113,111,117,214,225,183,155,137,119,105,94,82,191,175,110,160,163,151,171,167,208,196
14,161,163,164,163,164,167,168,163,172,192,180,147,120,91,146,168,169,171,166,167,167,168,167,167,166,165,164,164,162,164,166,167,166,168,163,175,202,177,122,100,88,79,102,147,148,147,169,167,167,168,167,167,166,167,166,165,164,166,167,168,168,163,187,209,187,136,81,81,78,81,110,133,116,92,169,170,169,171,171,170,169,169,168,167,165,168,169,168,166,173,218,190,135,95,79,85,74,61,82,101,81,118,180,169,170,172,171,170,171,170,169,168,167,169,169,172,163,189,219,171,89,64,61,68,73,85,80,91,102,118,153,174,172,172,173,172,173,171,170,169,168,169,170,174,167,203,218,164,89,62,57,61,76,93,70,79,130,139,101,131,180,171,175,175,173,173,172,171,168,169,172,174,172,216,208,142,83,68,75,58,59,69,66,65,87,103,75,149,186,175,175,176,176,174,174,173,169,171,174,172,179,219,201,137,76,69,86,66,72,87,96,96,81,87,81,118,140,176,177,176,177,176,176,175,172,173,176,170,188,219,207,161,104,75,73,72,82,75,81,74,82,98,102,101,86,146,180,177,178,177,176,176,173,175,178,170,204,219,207,162,116,86,61,84,88,76,107,132,171,156,129,111,140,123,161,184,178,178,178,178,175,177,176,174,213,219,209,160,111,91,70,84,73,151,193,186,182,186,185,147,157,120,167,185,179,180,179,179,176,177,177,179,216,219,212,169,120,88,75,69,83,179,183,182,183,188,163,132,151,116,176,184,181,180,180,181,178,181,179,184,219,219,215,175,131,92,74,66,150,191,183,185,184,189,156,134,150,109,174,186,183,182,181,182,179,182,179,186,219,219,216,181,136,99,64,84,190,185,186,185,184,193,149,125,149,104,148,193,183,184,183,183,180,183,183,187,219,219,216,183,142,108,62,118,198,183,187,186,189,185,133,125,139,113,123,194,185,185,186,185,181,184,184,188,219,219,216,186,145,110,66,123,196,192,194,195,192,131,126,146,139,105,142,195,186,186,186,186,183,183,181,191,219,219,217,186,144,113,91,60,94,125,127,153,142,108,132,137,125,119,188,189,188,186,186,185,183,184,182,191,219,219,217,183,146,125,107,70,69,78,87,98,104,116,130,132,107,167,195,188,188,187,187,186,184,186,183,196,219,219,216,180,156,140,117,80,81,95,104,115,118,113,123,110,141,198,190,192,189,190,188,188,186,188,184,201,219,219,215,185,168,149,120,91,86,105,109,113,118,115,102,110,194,193,192,193,190,189,189,189,186,189,186,204,219,219,214,196,176,150,119,101,88,104,111,111,115,114,91,164,200,193,193,193,192,191,191,191,187,189,187,208,219,219,215,203,181,149,118,102,91,100,111,107,113,96,149,202,193,193,194,194,193,193,193,193,187,189,185,210,218,217,214,203,177,137,101,92,88,97,106,109,99,117,202,195,196,195,195,194,193,193,193,193,193,197,198,219,219,219,216,198,160,105,82,84,83,93,100,105,94,178,201,194,196,196,196,196,195,194,194,193,166,152,142,152,134,128,112,95,80,59,52,62,78,92,94,89,155,205,195,198,197,197,198,198,195,195,194,195,89,80,69,61,55,49,41,38,39,34,24,24,36,62,82,148,206,195,198,198,197,197,199,198,197,197,195,197,84,80,70,66,62,56,46,43,42,33,25,23,22,16,46,204,200,200,200,200,200,199,199,199,198,197,198,197,84,77,69,63,56,52,44,41,38,31,23,20,24,17,50,206,201,202,201,201,201,200,199,199,198,199,199,199
1,171,170,171,171,172,173,173,172,173,173,172,173,172,172,171,169,169,170,167,165,164,163,162,161,160,159,156,154,175,175,174,175,175,176,176,176,176,177,176,176,175,174,174,175,171,160,169,169,168,167,167,163,162,161,158,157,179,179,179,178,179,180,179,180,181,179,179,179,178,177,175,168,183,123,149,183,170,170,169,167,167,163,162,161,183,182,182,182,182,183,183,183,183,183,183,183,181,181,187,130,164,130,113,158,175,173,171,169,168,167,165,164,186,184,185,185,186,187,186,186,186,186,187,186,185,185,189,116,159,125,72,99,155,180,174,173,171,170,168,165,188,188,188,188,188,188,189,189,189,188,190,190,190,192,177,107,169,106,98,123,126,187,174,175,175,172,170,168,190,191,191,191,191,191,193,192,190,189,191,186,159,192,165,111,184,108,119,134,112,189,177,178,176,175,173,170,195,194,194,194,195,195,196,195,195,194,193,188,120,172,164,127,178,96,130,142,114,191,181,181,179,177,176,174,196,197,196,197,198,196,196,196,197,195,196,183,112,174,137,145,165,92,155,149,115,192,183,184,181,180,179,176,199,199,199,199,199,199,198,198,199,197,203,171,112,180,122,161,165,107,177,137,113,195,184,185,184,182,181,179,201,201,201,201,202,202,202,202,202,200,204,161,108,190,126,163,170,106,173,134,119,198,186,187,187,185,183,181,203,202,203,203,203,204,204,203,202,203,205,141,110,196,113,150,156,91,176,143,128,201,190,189,188,187,185,183,205,205,204,204,204,205,205,205,205,204,207,140,112,183,91,146,141,91,184,134,126,204,192,191,191,189,187,185,206,206,206,206,206,208,207,207,206,208,200,126,119,167,132,162,162,119,138,121,130,205,194,194,192,190,188,187,208,208,209,209,208,208,209,208,208,208,185,154,158,133,146,148,149,146,125,108,108,199,197,196,195,193,191,189,209,209,210,210,209,210,210,210,209,206,193,166,132,117,123,143,156,134,125,141,99,177,205,197,197,194,191,190,210,211,211,211,211,211,211,211,210,210,190,142,110,117,123,156,161,138,175,174,110,147,212,197,197,195,193,191,211,211,212,212,212,211,213,214,211,205,187,138,106,127,133,164,172,184,148,175,146,123,209,200,200,197,196,194,211,212,213,214,214,214,214,215,212,199,193,152,103,116,150,171,179,193,163,158,145,97,198,204,201,199,197,196,214,214,215,215,215,216,215,216,211,195,198,164,118,106,150,175,182,180,164,146,108,80,200,205,202,201,199,196,216,216,216,216,216,216,216,218,213,190,196,168,130,106,142,190,196,191,158,131,87,112,216,203,204,203,200,198,216,216,217,217,217,217,217,219,216,187,182,167,137,117,153,203,193,181,145,116,73,171,216,203,204,203,202,199,216,216,217,217,217,218,217,218,219,194,183,168,146,128,165,198,184,163,131,94,92,213,208,207,204,204,203,200,214,215,216,216,216,217,217,217,221,201,179,176,160,132,165,187,173,143,113,68,145,221,207,207,205,204,203,201,214,215,216,217,217,217,218,217,220,208,180,179,163,138,154,164,144,119,80,77,206,210,208,206,204,202,201,198,216,216,217,217,217,218,218,217,221,207,185,180,161,142,144,148,121,91,61,173,217,208,209,207,204,203,201,199,215,216,217,218,217,217,217,218,221,196,191,180,172,156,136,130,99,62,163,225,209,211,209,208,206,206,208,198,215,216,216,218,217,217,219,221,214,183,197,185,181,154,132,108,67,102,224,212,214,211,209,208,207,192,163,112
10,52,53,54,57,61,63,68,77,84,89,93,96,98,101,104,106,108,111,111,113,115,115,116,117,117,117,118,119,52,54,56,57,61,64,69,78,85,91,95,98,99,102,104,106,109,110,111,115,115,116,116,118,118,117,118,119,52,54,56,59,62,64,70,80,87,92,97,98,99,103,105,108,108,116,116,100,117,117,117,119,119,119,119,119,51,55,57,60,63,65,72,82,88,94,98,99,102,105,107,111,106,135,126,67,109,121,119,120,121,121,120,120,52,55,57,60,63,66,73,83,90,95,99,101,103,106,109,111,110,127,132,79,86,126,120,122,123,122,122,123,53,56,58,60,64,67,74,84,90,97,100,102,106,108,111,114,114,121,138,91,67,120,125,125,125,125,125,125,54,57,59,61,64,67,76,85,92,98,102,103,106,110,112,115,119,118,137,109,71,105,130,125,127,127,127,126,54,57,59,62,65,67,77,87,93,99,103,104,107,112,114,117,119,119,135,124,79,87,133,127,128,129,129,128,55,58,60,63,65,68,79,88,95,101,104,105,108,112,116,116,132,123,81,109,90,72,130,131,131,131,131,131,56,58,60,63,65,70,80,90,96,102,105,106,111,115,117,118,142,102,61,86,129,72,119,136,133,133,133,133,56,59,61,64,66,70,81,91,97,103,105,107,112,115,120,120,138,96,71,64,142,79,104,140,134,136,135,134,56,59,61,64,66,72,82,91,98,104,106,110,112,121,114,128,154,111,103,68,100,92,87,142,136,138,137,137,57,59,61,65,67,72,84,92,100,106,108,106,124,157,126,142,131,127,121,83,63,89,76,139,138,138,139,139,58,59,62,65,67,73,84,93,101,106,111,117,127,176,148,149,103,96,125,100,64,68,65,127,142,139,140,139,59,60,63,65,67,73,85,94,103,101,147,165,116,123,153,156,118,61,112,123,86,61,52,111,146,139,141,140,59,60,62,65,68,75,86,96,104,103,154,177,131,70,112,159,112,63,71,125,102,72,48,97,148,141,143,143,59,60,63,66,69,76,88,97,105,110,130,113,138,124,81,110,76,46,48,105,109,85,57,86,148,142,143,144,59,60,63,66,69,77,88,97,106,110,139,100,117,136,69,81,91,39,76,111,109,100,69,76,147,143,144,144,60,61,63,66,69,78,89,99,108,107,148,136,95,81,70,95,98,92,141,131,112,106,79,72,142,146,145,145,60,62,64,66,69,79,90,100,109,109,148,133,112,99,90,97,105,155,155,124,115,101,80,77,141,147,145,146,60,62,64,66,69,80,91,101,111,109,164,158,134,106,103,113,172,176,140,112,101,93,81,84,145,147,147,147,60,62,65,66,69,80,91,101,111,109,164,168,137,114,123,139,189,161,134,114,92,84,77,95,151,147,148,149,61,62,64,67,69,80,92,102,112,108,170,174,136,136,130,147,184,153,126,110,91,80,74,111,153,147,148,149,61,62,64,67,70,81,93,103,112,110,163,165,142,148,134,166,171,141,116,99,87,81,74,121,154,148,149,149,61,63,65,67,71,82,93,103,113,109,150,164,159,153,150,173,155,125,106,90,82,80,77,137,152,149,150,150,61,62,65,67,71,82,93,103,114,110,135,175,170,153,139,150,140,114,96,86,82,74,90,151,150,151,151,152,60,63,66,66,71,84,95,105,113,115,120,166,159,143,128,130,127,116,100,90,83,67,109,156,151,152,152,154,60,62,66,67,72,85,95,106,113,117,115,145,144,132,125,128,125,128,110,89,80,63,122,156,150,152,153,155
8,131,134,136,138,141,139,141,142,142,141,142,142,143,141,140,140,139,139,138,137,136,135,134,134,132,132,131,130,134,135,139,134,125,143,142,143,142,142,142,143,143,142,142,141,141,140,138,137,137,137,136,135,135,133,133,131,135,135,145,135,83,135,146,144,143,143,143,144,144,144,143,143,141,141,141,140,139,138,138,136,136,135,134,133,136,136,148,146,75,115,151,145,146,145,145,145,144,144,144,143,143,142,142,141,140,140,139,137,137,136,134,134,136,138,145,158,79,101,155,145,148,146,146,145,146,145,145,143,142,143,143,142,141,140,140,139,138,137,136,136,138,141,143,152,83,90,157,147,150,150,151,146,148,150,148,145,144,145,144,143,142,141,142,141,140,139,138,136,140,143,143,158,116,80,152,151,148,137,136,152,145,129,138,151,150,147,145,145,144,142,143,142,142,141,140,137,141,143,142,160,131,68,140,153,163,143,102,131,161,109,86,139,134,145,149,144,146,145,143,144,143,141,140,139,142,145,144,156,137,85,111,158,176,173,125,82,156,127,123,87,87,88,145,150,146,147,145,145,145,142,141,139,145,146,146,154,161,116,99,148,170,178,149,76,118,132,137,123,109,94,105,145,148,147,147,147,146,143,142,141,146,147,147,150,164,113,109,139,142,169,152,85,87,124,104,147,149,152,120,79,145,148,146,147,146,144,142,141,146,148,150,150,162,146,126,151,140,144,155,85,65,106,60,122,138,151,129,66,134,152,147,147,148,146,144,143,147,149,152,151,171,168,118,120,137,120,153,115,62,85,60,89,136,156,132,67,133,154,147,148,148,148,146,144,148,150,153,151,169,147,102,101,110,95,135,152,80,64,53,98,155,166,136,67,134,155,148,150,149,149,148,145,149,152,154,151,168,167,128,100,93,87,102,114,85,72,48,110,160,167,133,67,135,157,150,151,151,150,149,146,149,152,154,151,172,173,141,108,89,89,85,128,127,87,105,142,155,157,118,59,125,160,151,152,151,151,149,146,150,152,155,153,176,171,145,122,92,76,99,146,145,148,156,148,134,126,95,53,115,162,152,152,152,152,150,147,149,152,156,154,179,171,149,134,111,78,93,140,169,174,164,143,115,94,77,54,141,158,154,153,152,152,150,148,150,154,156,156,180,172,153,136,122,92,92,149,179,174,159,135,100,76,50,90,164,154,155,154,153,152,149,149,153,154,157,157,176,175,160,143,132,104,103,161,176,164,138,118,86,59,52,149,159,156,156,154,154,154,151,150,153,155,159,158,171,178,164,148,141,111,107,166,164,143,119,96,75,41,107,167,156,157,157,155,155,154,153,151,153,155,158,158,167,179,168,152,138,110,111,155,152,133,111,85,59,59,157,159,158,157,156,155,155,154,153,151,152,154,156,157,168,182,166,147,125,96,116,142,126,120,105,79,40,119,166,155,157,157,156,154,154,154,152,151,153,156,159,154,171,178,157,139,114,104,120,130,109,102,99,53,71,165,158,158,159,158,156,155,155,153,151,150,153,156,159,152,181,175,158,142,123,118,123,118,102,95,76,53,145,164,159,159,158,158,156,156,153,152,158,155,153,155,155,162,184,170,160,146,126,128,120,100,95,83,49,115,167,158,160,159,158,157,156,159,162,159,125,77,154,157,149,169,176,152,146,135,123,124,111,86,85,58,76,163,161,161,159,159,162,163,161,143,110,67,28,16,154,157,146,175,171,141,123,116,113,124,106,71,80,45,129,168,161,161,159,152,138,123,90,46,16,4,9,14
22,144,146,149,152,157,159,161,164,166,167,165,172,172,172,171,167,174,173,175,176,175,176,176,175,175,175,175,174,146,149,153,155,158,162,164,168,171,170,121,158,177,177,182,118,160,179,167,165,180,179,178,178,179,178,177,176,148,151,155,158,161,165,168,170,175,163,98,149,181,184,188,104,151,188,161,110,180,182,180,180,182,182,181,180,150,154,157,160,165,168,171,172,180,160,82,150,183,190,187,110,159,193,163,97,176,185,183,183,184,185,184,183,153,158,159,163,166,171,173,175,185,163,85,153,186,194,179,113,168,197,162,99,176,187,186,187,187,188,187,185,155,159,162,164,168,172,177,177,187,177,90,151,188,197,166,110,173,198,166,108,180,190,189,189,189,189,188,188,157,161,164,168,171,175,180,181,191,187,95,143,191,197,150,108,175,198,161,109,188,192,192,191,191,190,191,191,159,163,166,170,173,178,182,183,194,190,96,141,197,185,135,110,179,199,162,111,191,195,194,194,194,193,194,193,162,165,168,172,175,180,183,185,191,203,120,132,187,165,135,107,186,201,160,113,195,195,194,195,196,195,196,195,163,167,170,173,177,181,184,186,190,202,156,129,115,136,147,112,195,203,153,121,201,196,196,198,197,197,197,198,165,169,172,175,179,183,186,188,192,204,178,155,139,126,128,125,203,197,141,134,204,198,199,200,200,200,199,199,166,170,173,177,180,185,189,188,202,211,191,176,189,169,112,119,190,183,129,151,205,201,201,201,201,202,201,201,168,172,175,178,182,186,190,192,195,166,186,122,176,177,129,82,135,142,103,167,207,203,202,202,202,203,203,202,171,173,178,180,184,188,191,195,199,167,166,95,87,174,161,108,81,100,86,180,208,204,203,204,204,204,203,203,172,174,178,182,185,189,191,201,202,153,153,122,52,117,189,147,91,74,85,196,207,205,205,205,205,206,205,205,172,176,179,183,187,191,193,206,201,160,131,108,81,101,206,179,124,86,85,202,209,207,207,208,208,208,207,207,174,177,180,184,187,192,193,213,207,156,116,103,93,177,208,178,137,106,88,203,210,207,208,210,210,210,210,209,175,178,180,184,187,192,195,214,198,154,125,129,136,217,204,162,127,99,91,207,211,209,209,210,211,211,210,209,176,179,182,186,188,193,196,209,194,153,145,126,167,215,186,150,111,85,114,215,211,212,210,211,212,212,212,211,176,180,184,187,190,195,197,206,189,151,146,128,187,214,170,135,104,80,132,220,212,213,213,214,213,214,213,212,175,180,184,187,191,194,198,202,189,151,163,136,195,211,161,125,95,76,142,221,214,215,215,215,215,214,214,214,175,178,182,186,191,193,197,197,189,159,172,140,185,192,152,119,92,72,158,220,214,216,216,216,216,215,214,214,175,179,183,186,190,193,197,196,190,165,169,141,175,174,138,114,89,74,176,215,214,215,216,216,216,215,214,214,176,180,185,188,190,195,199,199,195,165,152,126,155,153,123,112,88,86,199,215,215,216,216,216,216,216,216,215,177,182,186,189,192,196,197,196,194,162,133,126,155,135,126,113,82,132,216,215,216,216,216,217,217,216,215,216,177,181,185,189,194,196,194,199,202,174,150,143,163,123,133,98,85,192,218,215,215,216,217,217,217,217,216,215,177,181,187,190,195,198,191,197,201,180,168,150,156,121,124,77,138,218,215,214,215,216,217,218,217,217,217,216,151,156,163,170,174,177,178,194,180,168,172,147,148,121,103,76,178,217,215,214,215,217,216,217,217,218,217,215
24,156,159,162,166,167,168,171,173,175,175,175,176,176,177,177,177,177,177,179,178,178,178,178,178,176,176,175,174,158,162,166,168,170,171,174,176,176,177,178,178,179,179,179,181,181,181,181,181,181,181,181,181,179,178,177,177,160,163,167,170,173,175,177,178,179,180,180,180,182,182,182,182,182,182,181,181,182,183,183,183,182,181,180,179,161,165,170,173,176,178,179,180,182,182,182,182,183,183,185,185,185,185,184,185,185,185,186,185,184,183,183,181,165,171,171,175,179,180,181,183,183,184,185,186,186,187,188,187,187,188,188,188,188,187,188,187,185,185,184,182,149,138,179,177,180,182,183,185,185,186,187,188,188,188,189,189,189,190,189,190,190,190,190,189,188,186,186,186,139,89,179,180,182,183,186,188,187,187,190,191,192,190,191,191,193,193,191,192,193,192,191,193,194,192,193,188,138,81,172,182,184,186,187,190,193,195,192,185,181,197,192,194,194,194,194,195,194,194,195,189,176,147,149,196,126,68,174,186,186,188,193,189,166,164,194,162,126,141,200,195,194,195,196,196,196,196,188,159,136,82,131,201,116,66,173,189,183,148,152,194,151,113,166,173,147,106,167,203,194,195,196,196,198,196,187,154,89,114,200,195,131,74,162,193,196,161,136,186,168,146,144,185,169,134,127,206,196,198,198,199,197,193,181,123,90,198,198,195,142,92,150,194,204,200,162,150,192,170,129,160,185,143,104,191,201,199,201,201,196,191,161,78,135,209,196,197,164,149,160,187,185,206,191,130,159,191,145,119,180,131,78,184,210,202,198,188,189,171,102,87,198,202,199,198,183,180,170,184,170,161,197,122,92,194,165,94,112,101,59,159,184,179,169,159,162,116,74,184,210,201,201,201,177,189,183,180,178,161,158,116,68,138,137,77,39,77,104,149,173,177,159,133,114,71,156,215,202,203,203,202,180,194,183,181,178,157,145,124,93,72,89,56,42,116,181,193,189,173,142,113,82,114,217,204,204,204,205,203,183,192,183,150,159,154,139,132,113,97,99,97,149,181,193,190,175,156,122,85,74,195,212,206,207,206,205,205,185,189,191,169,140,143,169,153,146,128,120,171,199,195,190,180,163,137,101,60,145,219,207,209,209,208,207,206,187,187,201,201,169,141,145,162,182,181,183,206,200,194,183,167,143,112,68,117,219,208,210,210,208,208,208,208,185,187,193,204,185,159,141,152,169,198,205,201,201,194,173,146,117,80,83,205,213,210,210,210,210,209,209,208,185,191,188,199,204,175,153,154,174,200,206,208,207,185,151,122,95,62,163,218,208,211,209,209,209,209,208,205,186,191,191,203,215,203,172,169,177,207,218,209,195,161,128,99,68,101,216,210,211,211,210,210,209,208,208,211,186,190,192,193,206,216,191,177,180,203,213,200,171,135,105,81,59,179,218,211,214,214,212,212,209,211,204,199,189,190,196,185,181,202,192,181,181,185,187,181,153,115,85,56,102,219,209,212,213,213,211,212,215,201,194,130,182,186,191,195,177,179,185,179,174,158,154,163,143,102,75,53,168,226,218,218,218,218,216,217,195,187,212,179,106,111,112,119,118,158,184,171,157,140,141,153,132,103,77,63,152,179,180,183,186,194,198,191,196,178,176,121,95,95,94,95,89,120,174,140,135,136,152,163,130,111,93,66,85,95,93,96,97,99,104,178,212,171,167,123,99,102,108,107,104,102,154,135,144,158,161,165,134,107,102,71,94,110,110,110,105,105,144,146,193,202,97,153
4,85,91,97,99,102,107,109,111,114,116,118,121,123,125,127,128,128,128,131,134,133,134,136,136,136,137,137,138,86,92,98,101,103,106,109,112,114,116,117,120,124,127,126,126,130,133,132,131,136,135,137,137,138,137,138,138,88,93,98,101,105,108,111,113,114,118,119,123,120,127,130,131,127,120,131,135,133,139,138,138,139,139,138,138,89,95,98,102,106,109,112,114,116,117,115,127,138,120,112,151,130,81,63,115,99,92,139,140,139,140,141,141,89,96,99,103,107,110,114,113,116,135,113,103,130,127,71,116,122,76,30,66,94,50,88,149,139,142,142,142,89,95,99,103,108,112,116,110,137,163,139,108,72,81,64,88,119,65,26,94,95,53,44,147,143,143,144,144,90,96,101,104,108,112,114,114,160,130,141,100,64,36,42,100,136,60,72,115,73,31,29,140,144,143,145,144,92,97,101,105,108,113,109,128,148,100,135,73,41,40,36,72,109,104,125,102,79,20,44,146,143,145,145,146,92,98,102,106,111,114,108,143,144,110,125,75,36,55,71,75,105,123,103,110,104,67,65,155,144,147,148,148,90,98,103,107,110,114,112,157,134,117,109,89,19,77,134,110,109,102,86,131,116,103,78,136,150,146,149,150,92,99,104,107,111,112,124,154,110,87,75,56,11,34,99,90,89,56,66,140,132,125,92,74,148,150,150,150,92,98,104,108,114,108,142,153,112,89,70,43,22,14,25,41,42,54,96,120,135,127,110,67,91,158,149,151,92,99,105,109,115,112,163,147,117,101,78,56,35,25,26,35,81,142,137,122,118,101,100,89,50,132,156,151,94,101,105,110,111,120,172,145,129,106,73,55,42,35,75,128,155,154,132,118,103,79,79,82,49,118,161,151,95,101,105,111,108,139,179,149,128,97,76,72,47,76,141,156,154,152,130,110,92,69,60,62,57,146,154,153,95,101,107,112,109,154,180,149,120,99,94,80,71,128,143,146,151,142,122,100,82,62,56,43,108,161,151,153,96,101,106,113,107,160,178,142,125,120,110,89,111,136,143,146,141,130,110,89,73,58,44,65,153,152,155,156,96,102,107,114,109,164,177,150,139,130,113,104,130,138,146,141,125,114,95,78,66,54,39,128,160,152,157,158,98,103,108,113,109,157,177,158,146,130,112,101,123,137,136,129,113,101,85,68,61,38,82,162,153,154,158,158,98,104,109,113,109,145,175,155,146,130,108,93,113,125,123,116,100,91,75,60,48,48,144,159,155,155,157,157,99,105,109,114,113,134,169,146,130,119,101,100,113,123,122,110,90,79,65,52,37,123,161,156,158,158,158,158,100,105,110,115,115,131,160,128,122,114,107,114,106,113,114,101,84,70,59,34,97,161,155,157,157,159,159,159,100,104,109,117,114,129,156,126,131,122,130,126,102,100,107,92,73,65,41,66,156,153,157,158,158,159,159,159,101,105,110,115,116,140,156,141,134,130,126,116,97,85,97,83,65,56,38,134,157,155,159,159,159,160,160,160,101,106,111,111,144,161,133,128,141,134,117,103,90,77,84,74,64,37,79,162,153,157,158,158,159,160,160,160,101,106,107,126,165,153,156,93,101,135,108,94,85,69,70,66,61,28,98,164,154,157,159,159,159,160,160,162,102,108,110,157,155,152,157,154,78,81,96,91,76,54,65,59,55,29,104,165,154,157,159,161,161,161,161,162,104,101,138,164,146,155,154,153,155,69,58,82,66,52,60,53,51,27,110,164,156,158,159,161,162,162,163,163
5,196,201,204,209,211,215,220,221,222,222,223,226,226,224,226,226,226,226,225,228,227,225,225,224,225,227,227,226,199,204,207,211,216,219,221,224,225,226,227,228,227,227,229,230,229,230,230,230,229,229,230,229,229,229,230,229,201,204,208,213,219,221,224,227,228,228,229,230,231,232,222,220,235,232,233,232,232,234,236,234,232,231,231,231,204,207,212,217,221,224,227,228,230,231,232,235,230,247,208,143,240,236,236,236,237,236,237,239,235,234,234,233,206,211,216,218,223,227,228,234,235,234,236,232,248,252,175,168,242,237,238,239,239,241,241,240,240,238,236,235,208,213,218,222,227,229,235,202,222,239,236,242,255,177,147,240,241,239,238,237,240,236,237,244,243,241,239,238,211,215,220,224,229,226,255,156,176,249,231,255,248,123,219,249,240,239,251,253,247,172,174,255,243,245,244,241,212,217,221,225,227,238,251,124,204,247,242,255,171,160,255,240,242,255,255,213,187,149,210,252,245,247,247,244,213,219,224,228,227,255,199,133,248,243,240,198,127,221,250,237,255,255,178,136,207,236,253,247,248,249,249,247,214,219,226,228,227,255,179,162,254,242,212,156,137,255,231,235,224,148,151,234,255,252,249,252,249,249,250,249,216,221,226,230,230,255,182,167,255,234,204,168,146,255,213,229,138,136,249,255,249,251,251,254,253,252,252,251,217,220,225,230,233,255,188,158,255,232,209,156,163,221,202,206,116,211,255,250,254,251,254,253,253,255,253,251,218,223,228,232,234,250,241,163,220,238,212,122,158,172,196,170,145,248,255,255,255,254,249,255,255,255,255,254,219,224,230,235,237,236,255,218,159,221,182,158,120,137,174,146,190,255,252,247,255,255,232,178,255,255,255,254,217,222,227,230,238,230,246,255,191,163,154,142,126,132,132,146,222,255,245,255,255,239,248,178,212,255,255,255,218,223,227,231,237,236,238,255,243,173,125,113,115,117,119,160,193,236,255,233,195,161,204,228,171,228,255,255,219,225,229,231,236,239,238,255,255,182,117,110,111,108,118,159,176,187,206,143,150,227,231,223,155,192,255,253,220,226,231,232,235,240,238,255,255,182,112,104,107,103,116,138,149,127,143,189,251,240,239,174,166,255,255,255,221,226,230,232,237,240,239,255,255,192,113,100,106,106,110,125,119,137,239,255,246,235,198,130,250,255,255,255,225,231,234,238,240,241,241,251,255,203,123,98,103,110,104,113,86,180,255,253,236,220,129,162,255,254,255,255,195,205,214,219,224,230,231,242,255,214,134,99,102,103,109,134,145,156,224,240,239,179,121,241,255,255,255,255,110,112,117,119,122,134,121,204,255,224,150,101,104,104,108,139,174,190,159,223,240,156,141,222,220,226,230,232,118,117,115,115,114,118,98,203,255,232,166,107,99,110,125,155,182,199,177,207,207,127,113,113,117,118,122,122,117,118,118,128,127,128,110,212,255,239,175,115,102,110,155,186,205,193,152,153,152,124,132,127,134,130,124,121,115,115,117,120,121,127,111,198,255,242,184,131,118,104,168,196,198,168,128,110,117,134,140,133,131,124,159,212,116,116,118,119,119,124,108,196,255,236,187,149,129,99,159,192,183,140,110,113,127,131,129,115,153,220,255,247,117,118,119,119,118,122,109,222,255,231,194,158,127,101,131,163,148,119,110,127,134,127,121,198,255,255,241,221,115,115,117,119,119,119,113,242,255,225,187,141,114,98,113,126,118,110,124,130,135,129,224,255,255,238,226,197
21,107,116,131,147,156,164,170,174,178,179,182,190,191,194,195,198,199,202,204,204,205,205,206,206,206,206,206,206,108,118,134,149,158,166,172,173,180,209,145,155,199,194,198,201,202,204,205,206,208,208,208,209,208,208,209,208,109,117,137,151,161,168,173,174,188,223,133,133,203,194,201,203,204,205,205,208,209,209,210,210,211,211,210,210,111,119,138,153,162,168,174,177,189,220,145,128,201,198,202,205,207,206,207,210,213,213,212,213,213,212,213,211,114,121,139,155,163,170,176,179,188,214,151,123,197,201,203,204,208,210,211,208,177,205,217,215,215,214,213,214,115,124,142,155,166,172,176,181,188,215,165,124,193,204,204,208,210,209,216,190,123,178,224,216,217,217,217,217,117,127,145,157,167,174,179,184,188,214,173,124,183,208,207,210,212,217,211,170,126,207,222,217,218,219,219,218,118,129,146,158,168,176,182,186,186,214,175,124,165,213,207,211,212,222,198,144,152,229,218,219,220,220,220,219,118,129,148,160,168,176,182,187,186,225,184,128,157,215,208,210,218,216,181,131,200,227,221,222,222,221,221,220,119,131,152,162,169,176,182,187,188,235,193,139,157,215,209,213,216,196,154,148,228,221,224,224,224,222,222,222,120,134,152,162,171,177,182,186,187,220,180,137,150,218,210,219,215,187,125,190,230,222,225,225,225,225,225,223,121,135,153,163,172,178,189,205,169,190,156,124,145,219,209,216,213,163,140,227,224,224,225,226,225,226,226,226,122,137,155,165,173,171,215,246,169,149,127,111,140,201,200,208,196,127,189,233,225,226,227,227,227,227,227,226,124,139,157,165,175,174,208,217,164,121,105,112,148,189,196,191,148,134,228,225,226,228,228,228,228,228,227,227,124,141,158,167,170,203,227,174,156,127,93,102,134,170,175,158,114,185,234,225,227,228,228,228,229,229,229,228,125,143,158,166,174,250,221,203,176,163,109,94,124,143,158,136,128,225,226,228,228,230,230,230,230,229,229,229,127,144,160,164,196,220,213,234,222,181,126,99,114,126,141,114,170,234,225,228,229,230,230,230,230,230,230,230,129,147,161,163,214,198,206,230,227,157,116,106,105,120,121,104,202,232,228,230,230,231,230,230,231,231,230,230,129,147,159,168,228,188,169,150,180,150,124,112,106,105,111,107,206,233,228,231,232,232,233,233,232,232,231,230,130,150,158,179,222,165,152,149,164,162,134,112,106,106,107,103,202,235,229,232,233,233,235,235,234,233,233,232,132,151,156,190,228,191,186,159,160,198,143,122,114,109,104,104,208,235,231,233,233,234,235,235,235,234,234,233,134,152,155,194,225,206,182,155,228,243,160,145,127,104,103,106,215,233,231,233,234,234,235,235,235,234,234,234,135,152,156,194,239,209,170,179,254,221,170,147,130,104,99,121,226,231,232,234,235,235,235,236,236,235,235,235,137,153,157,191,232,185,175,189,236,190,159,137,131,112,95,143,235,229,232,234,235,235,236,236,237,237,236,236,138,154,161,183,215,180,191,182,222,184,168,134,122,112,92,163,238,229,233,234,235,236,237,237,237,237,237,236,139,153,161,178,198,199,208,181,223,184,168,153,115,108,95,177,240,229,234,236,237,238,238,238,238,238,237,237,138,149,162,170,198,221,191,176,222,175,150,139,112,103,99,200,233,228,233,235,234,235,236,237,237,237,237,237,137,149,161,168,191,216,191,166,195,160,131,117,106,97,106,212,229,228,231,232,233,235,236,237,237,237,237,237
23,179,180,180,181,182,182,183,183,183,183,183,183,184,183,183,184,183,183,182,182,182,181,181,180,179,179,179,170,181,182,181,182,184,184,184,184,185,186,185,185,185,185,185,186,186,184,183,183,182,182,182,181,180,181,179,179,181,183,184,185,186,186,186,186,187,187,187,187,187,187,187,187,187,187,187,184,184,184,183,182,182,182,181,180,184,185,186,186,186,187,186,187,187,188,188,188,188,188,188,188,188,189,188,187,187,187,186,186,185,184,183,182,185,186,186,188,188,188,188,189,188,189,189,189,189,189,188,188,189,191,188,188,187,182,183,184,184,186,185,184,187,187,188,189,190,190,190,190,189,189,190,191,189,189,189,190,190,187,195,205,199,191,186,149,124,193,186,186,187,188,189,189,189,191,191,190,190,191,192,193,192,191,192,192,191,202,213,208,168,152,151,113,137,194,187,188,188,189,190,192,191,193,193,193,193,193,194,193,195,194,192,193,211,211,191,163,102,139,158,172,193,190,189,190,190,190,191,192,194,193,193,194,194,193,194,193,194,194,190,208,223,189,115,114,165,199,195,193,190,190,190,190,191,191,193,193,194,193,194,194,194,194,194,194,195,192,198,216,223,151,90,186,202,193,191,194,194,190,192,192,192,192,193,194,193,194,195,195,194,195,196,196,197,194,210,215,214,160,168,199,172,187,196,181,182,196,193,193,193,193,194,195,194,195,195,196,196,195,196,196,197,197,209,207,196,208,212,208,150,139,183,166,144,197,194,193,193,193,194,195,195,195,195,197,196,196,191,176,181,195,198,200,132,177,179,185,150,102,163,175,121,198,194,194,193,194,195,196,197,196,195,198,196,204,200,178,154,168,180,201,185,206,205,189,139,87,131,153,114,201,195,195,194,195,197,196,196,197,197,198,200,213,212,207,185,173,163,161,153,158,180,190,153,89,79,105,92,186,200,195,193,194,197,197,196,197,199,199,197,210,220,211,206,188,170,182,166,148,141,146,149,112,72,87,82,135,206,195,192,193,195,196,195,196,196,198,194,206,222,207,201,179,138,155,185,177,161,143,104,121,83,76,88,109,203,196,192,195,195,195,195,196,197,199,193,206,219,214,210,150,114,102,148,153,142,121,86,116,89,71,83,148,204,193,194,195,195,196,196,197,197,200,192,205,220,223,207,145,97,65,102,167,128,83,95,130,94,70,100,191,198,195,194,195,196,197,197,198,198,200,189,207,223,218,190,150,108,51,125,151,101,59,121,133,96,72,158,205,195,196,194,194,195,196,196,198,198,198,190,211,223,208,177,142,112,61,108,117,52,61,136,121,79,103,203,198,196,197,193,193,193,194,195,197,199,196,195,214,220,199,169,138,111,59,94,92,38,100,129,93,72,161,206,196,199,198,198,198,198,199,200,201,203,196,200,220,213,187,164,140,114,67,88,78,51,118,107,75,91,197,199,197,198,197,167,169,172,175,178,183,188,184,202,212,203,175,155,137,117,70,80,77,76,93,91,80,159,211,204,205,205,204,102,101,101,104,107,107,102,127,203,204,193,160,149,152,114,77,70,81,103,98,85,92,154,159,162,165,168,169,106,105,103,103,104,106,97,124,201,200,184,157,163,162,107,90,75,92,111,109,94,98,93,94,97,92,91,99,105,107,106,106,106,108,100,138,205,192,185,167,173,163,117,96,86,97,105,100,98,107,104,105,110,128,160,185,105,107,108,107,107,110,98,150,213,203,198,181,178,162,125,99,88,93,100,97,108,116,133,168,193,207,200,201
21,122,125,129,135,139,143,147,150,152,153,156,157,158,158,158,158,158,157,156,156,155,154,153,151,151,150,148,146,124,126,130,136,142,145,148,151,153,155,158,159,159,160,159,160,159,157,158,157,156,156,155,153,152,152,150,148,126,128,132,138,143,147,150,152,155,157,159,161,161,161,162,162,170,151,140,159,158,157,157,156,154,153,152,150,127,130,134,140,145,148,151,154,156,159,161,163,163,164,164,162,186,154,114,160,160,159,158,157,156,155,153,152,128,131,136,142,147,150,154,156,158,160,162,164,165,165,165,163,190,152,108,159,161,160,159,160,152,153,155,154,129,132,137,143,148,151,154,157,159,161,163,165,167,165,166,165,196,152,107,158,162,162,162,175,130,137,157,156,131,134,139,145,150,153,156,158,160,163,165,166,166,166,167,167,203,158,113,158,164,163,169,179,113,135,159,157,132,135,141,147,152,155,158,159,162,165,167,168,167,168,169,169,207,160,119,160,166,163,180,169,108,144,160,158,133,135,142,148,152,156,159,161,165,167,168,170,169,169,169,172,210,156,121,160,167,167,192,156,111,152,160,159,134,136,143,149,153,157,161,164,165,168,169,171,171,171,170,178,217,161,123,159,168,174,200,151,119,160,162,160,135,139,145,150,155,159,162,165,167,169,171,172,172,188,181,167,203,171,129,161,168,189,198,140,128,165,164,162,137,140,145,152,156,161,164,166,168,170,172,173,178,221,198,152,134,155,131,165,173,207,186,125,138,167,165,163,138,141,148,154,158,162,166,167,170,172,180,198,173,195,212,160,101,112,128,168,187,209,168,115,151,168,166,165,138,142,149,156,161,165,168,170,172,172,204,226,182,148,198,159,97,89,123,168,193,193,146,121,165,168,166,165,139,144,150,157,162,166,169,172,174,176,218,234,202,134,162,165,106,80,102,144,170,171,128,140,171,169,167,167,141,145,151,158,164,167,171,173,176,183,217,209,206,131,137,189,145,92,81,109,135,138,118,163,173,170,169,167,142,146,154,159,164,168,172,175,176,191,223,200,198,152,117,193,184,126,82,94,118,110,123,174,174,172,171,169,142,147,155,161,165,169,173,176,177,208,229,194,176,160,108,160,191,159,104,78,99,96,130,177,175,174,173,171,143,147,155,162,167,171,174,178,179,219,219,174,147,131,117,131,186,187,144,88,82,89,143,179,177,175,174,172,144,148,156,164,169,172,176,180,181,223,218,171,139,138,144,155,188,209,178,121,83,90,161,180,178,177,175,174,145,150,157,164,169,173,178,181,184,226,218,170,138,152,162,200,209,214,198,152,101,101,175,181,180,180,177,175,144,150,158,165,169,174,178,181,185,227,219,172,143,164,180,221,219,209,194,166,121,114,182,183,181,181,179,176,143,149,158,164,169,174,179,182,185,227,221,171,155,167,195,231,225,207,178,153,120,118,183,183,182,180,179,177,143,149,158,165,171,175,179,183,186,227,222,173,176,166,210,239,226,202,175,130,102,123,185,184,183,181,180,178,144,150,159,166,172,176,180,185,187,222,221,185,193,168,214,240,222,197,167,121,95,141,188,186,184,182,180,178,144,151,159,165,171,176,181,185,186,215,222,205,199,168,208,234,210,184,149,114,100,165,188,186,185,183,181,179,142,149,157,165,171,175,180,184,186,206,227,215,198,165,197,220,189,161,130,105,113,183,187,186,185,183,182,178,137,142,147,151,155,157,160,164,165,181,224,212,191,161,178,204,171,141,119,102,117,159,160,158,157,156,154,161
16,140,147,151,151,155,161,165,169,172,175,180,182,185,186,188,190,192,193,195,197,198,199,200,201,202,201,201,202,142,148,151,152,156,161,166,170,172,176,181,183,185,189,189,191,193,194,196,198,200,201,203,203,202,202,203,204,145,150,151,153,157,162,167,170,174,178,182,185,188,190,191,193,195,197,198,200,202,202,203,204,204,204,205,205,144,150,152,155,158,163,169,173,176,181,184,186,189,191,194,195,197,198,200,201,202,203,204,204,206,207,207,208,145,151,153,156,160,166,170,175,177,181,184,185,190,193,193,196,198,199,202,203,203,203,205,205,207,209,209,209,148,153,155,157,162,167,171,176,179,184,183,194,192,191,204,195,195,205,203,202,204,204,206,207,209,210,210,210,150,155,156,158,163,168,173,178,182,182,194,235,216,227,234,201,174,176,205,211,207,206,207,209,210,211,212,212,150,156,157,160,165,169,174,180,174,218,238,243,241,244,230,202,177,143,137,174,204,214,209,210,211,213,214,213,151,157,158,160,166,171,175,176,200,244,244,245,242,232,217,191,154,143,123,117,133,172,212,213,211,214,214,214,153,157,159,161,168,174,172,201,246,242,244,243,229,212,198,166,142,147,124,129,120,116,145,210,216,214,216,216,152,157,159,162,167,175,170,219,242,243,244,236,214,187,163,137,139,137,127,136,125,123,113,134,213,217,215,216,152,157,159,162,169,176,173,229,244,243,231,216,195,157,132,131,117,137,134,141,131,124,122,111,141,229,218,216,154,159,161,164,170,177,175,234,246,235,204,187,157,133,123,96,78,143,137,139,133,128,121,122,113,156,212,221,155,161,163,166,171,178,174,230,246,235,205,160,124,107,63,41,77,138,136,143,132,126,122,126,114,47,111,232,157,162,162,166,172,180,174,221,246,238,201,139,114,75,31,35,78,138,144,149,130,123,124,123,73,40,125,237,158,162,163,166,172,178,176,206,246,235,181,123,98,70,45,63,79,117,163,143,128,122,126,83,51,38,172,236,158,162,164,167,173,179,181,193,246,221,159,116,108,109,85,95,94,129,186,124,126,126,93,38,56,42,202,230,159,163,164,167,173,180,181,195,242,195,133,124,128,118,112,106,97,193,175,121,127,91,27,44,51,54,220,226,160,164,164,168,175,182,180,211,241,170,132,136,129,126,130,96,161,217,158,129,95,36,41,57,37,72,231,224,161,164,165,169,176,184,178,217,240,146,160,121,83,103,103,111,231,214,157,116,66,49,56,46,32,99,241,224,162,165,165,170,176,184,178,229,222,121,184,117,93,100,84,128,246,224,174,92,62,52,43,45,31,149,241,224,160,163,166,170,176,180,189,242,161,137,198,115,113,120,102,117,237,225,184,79,54,48,40,49,34,174,239,225,159,162,164,169,177,179,193,186,142,196,184,115,123,125,124,107,192,227,187,85,40,44,45,51,37,169,240,224,161,164,165,170,177,182,185,186,194,205,172,119,129,131,130,107,97,163,133,53,39,44,47,53,41,175,240,225,161,164,166,170,177,183,187,192,192,205,165,122,128,128,108,74,47,45,46,43,47,47,48,52,41,182,240,226,162,165,166,171,177,182,187,192,194,206,158,117,119,111,75,48,51,54,54,55,53,52,49,52,36,132,246,225,162,165,167,171,178,183,189,194,196,207,165,122,109,93,62,56,64,65,67,65,60,55,51,54,36,135,245,226,162,165,168,171,178,183,189,193,198,199,147,125,112,97,76,68,74,73,74,70,64,59,53,56,36,158,245,228
14,197,201,208,211,214,217,218,221,224,224,225,227,228,228,228,229,229,229,229,227,226,226,225,225,225,223,222,221,198,205,209,213,218,220,222,224,227,227,228,230,230,232,232,233,231,233,231,231,231,229,228,227,227,225,225,225,200,206,211,215,219,223,226,227,228,230,232,233,234,235,235,236,234,235,238,236,235,233,231,230,229,228,228,226,203,207,212,217,222,226,227,230,232,232,234,236,238,238,237,240,235,236,224,232,236,238,235,233,234,232,229,229,205,210,215,219,223,227,229,232,234,235,237,240,242,239,240,240,255,246,212,217,215,211,241,237,234,236,235,233,207,213,218,223,225,228,230,234,235,235,240,243,244,242,243,255,255,247,228,214,203,181,179,233,241,236,236,235,209,215,221,225,227,229,232,237,238,239,242,244,244,245,255,255,255,237,227,249,213,174,127,155,247,239,239,237,210,218,222,226,229,233,236,238,241,242,244,245,244,255,255,255,251,169,115,208,177,219,127,78,177,254,238,241,213,218,222,227,232,236,238,240,243,244,247,248,255,255,255,178,137,126,90,85,127,254,179,99,135,250,242,242,217,221,225,231,235,236,240,242,244,248,247,255,255,255,241,182,123,78,75,75,66,206,216,137,106,238,248,244,216,223,228,233,235,238,242,244,248,249,250,255,255,239,188,160,132,92,70,74,91,201,182,150,109,204,255,245,216,223,230,235,237,242,244,245,250,243,255,255,255,224,145,102,103,87,73,102,226,255,238,209,124,174,255,245,218,224,231,236,239,241,245,251,244,255,255,255,255,219,151,104,77,72,90,252,255,244,237,182,100,199,255,249,220,226,232,237,240,243,247,247,252,255,255,255,253,191,149,113,67,62,217,255,255,245,221,181,91,152,255,249,223,228,234,239,242,245,251,246,255,255,255,255,237,199,157,92,56,76,143,210,255,227,198,167,111,97,238,255,223,230,236,240,245,250,247,255,255,255,255,255,233,185,136,82,79,97,90,108,233,187,198,165,137,94,214,255,224,232,238,242,247,252,247,255,255,255,255,254,222,155,114,80,117,131,133,129,118,171,200,172,108,145,255,255,227,233,239,244,246,245,255,255,255,255,255,238,195,148,110,107,140,147,148,156,135,167,185,140,115,252,255,255,226,234,240,244,255,253,255,255,255,255,245,230,182,151,118,128,148,153,151,147,148,154,155,110,229,255,255,255,227,233,242,247,174,247,255,255,255,255,241,212,192,151,121,136,153,149,139,137,153,114,94,220,255,255,255,255,228,235,252,195,98,124,244,255,249,226,210,197,167,120,121,126,141,143,130,130,107,95,204,255,255,255,255,255,229,240,230,119,117,106,103,171,221,208,165,127,91,94,108,107,121,127,108,108,180,255,255,255,255,255,255,255,230,245,158,115,105,104,101,97,110,117,104,85,76,81,85,85,86,86,121,231,255,255,255,255,255,255,255,255,241,197,112,115,98,98,96,104,83,35,54,57,51,50,53,45,123,204,255,255,255,255,255,255,255,255,255,255,227,137,114,101,97,95,93,89,106,55,34,49,43,39,40,29,95,255,255,255,255,255,255,255,255,255,255,255,164,110,103,99,97,92,88,87,98,68,23,41,40,37,41,22,124,255,255,255,255,255,255,255,255,255,255,255,127,106,91,92,89,80,81,81,100,65,20,35,35,33,37,21,222,255,255,255,255,255,255,255,255,255,255,255,125,107,97,80,65,122,104,69,103,47,22,34,30,31,29,48,255,255,255,255,255,255,255,255,255,255,255,255
16,75,75,76,77,78,90,102,113,123,131,139,145,148,150,152,158,162,167,172,175,179,182,184,187,190,191,194,197,74,74,76,76,78,91,103,113,123,130,140,146,147,149,152,156,161,167,172,177,179,182,185,188,191,192,195,197,73,73,75,75,77,90,102,113,121,130,139,145,147,146,151,155,158,165,170,175,177,181,183,187,190,193,195,196,72,72,76,75,77,91,101,113,123,133,140,145,146,147,147,157,163,165,169,174,177,181,182,186,191,192,195,197,72,72,75,75,79,91,102,112,122,128,136,138,163,169,137,121,144,170,176,172,175,180,185,187,191,193,195,198,72,72,73,73,78,90,101,113,117,139,149,166,188,165,139,113,90,103,146,178,182,182,184,186,191,193,196,197,71,71,73,71,76,88,102,103,138,198,184,186,172,142,122,119,99,77,67,104,156,178,188,191,191,192,195,196,71,72,72,72,75,90,97,107,193,192,170,160,151,132,114,97,96,88,73,67,73,99,129,160,188,198,194,196,69,71,72,70,75,85,97,188,194,156,147,141,128,118,97,86,89,95,79,77,72,67,67,77,111,164,197,202,68,70,72,69,76,71,144,199,153,141,131,117,103,91,84,84,76,102,88,85,78,72,67,65,64,77,124,181,62,62,63,62,64,125,160,148,134,126,107,92,83,75,80,68,67,98,97,106,83,76,67,64,67,67,62,86,113,108,110,103,135,182,139,127,121,100,84,78,66,70,75,44,70,101,106,108,88,81,67,64,63,66,69,62,105,109,108,107,201,182,144,113,90,81,74,61,57,71,53,30,85,102,106,110,93,85,71,69,63,63,66,66,101,106,87,141,205,167,126,91,64,61,53,48,59,52,19,28,89,99,105,121,109,97,78,72,61,61,64,63,111,105,114,194,176,145,97,69,51,57,40,29,24,14,6,14,85,95,111,137,128,107,92,65,59,63,62,59,112,96,165,174,138,108,73,54,47,49,22,5,3,0,3,5,72,96,118,148,117,112,101,59,58,59,59,57,102,129,187,145,100,72,57,50,51,49,30,2,0,0,0,0,46,89,140,137,91,114,100,55,57,54,57,57,102,183,169,115,72,46,46,52,57,58,59,39,3,6,12,14,9,111,161,110,82,104,80,55,57,55,57,53,146,170,120,77,57,77,60,59,62,64,63,56,35,37,39,23,52,167,136,89,78,78,59,54,54,55,52,50,177,118,79,44,84,105,76,86,75,72,66,57,51,51,46,30,139,158,113,77,64,56,50,55,53,51,53,58,130,81,46,68,102,82,81,82,78,72,67,58,50,48,28,79,179,139,94,62,53,47,48,50,47,52,59,60,85,52,70,107,108,102,100,83,70,63,68,53,52,66,71,147,181,142,73,51,48,50,52,50,51,57,56,56,90,91,107,108,110,110,109,108,100,94,101,96,100,110,104,180,184,147,69,34,42,56,54,52,54,55,57,58,111,109,107,107,109,110,109,111,110,112,110,112,112,110,105,183,189,153,82,42,89,71,65,61,59,61,60,60,107,106,106,108,109,109,109,109,108,108,110,110,110,112,101,156,173,138,73,93,139,83,76,76,74,72,64,61,107,107,106,107,110,108,107,108,109,111,109,110,111,114,105,120,146,104,69,101,149,127,89,81,86,87,77,64,108,108,107,107,109,109,108,108,109,109,108,108,112,111,109,109,116,88,86,103,127,164,124,109,104,103,92,80,107,107,108,108,109,109,108,109,109,109,109,110,112,111,111,111,111,110,111,107,108,176,150,132,122,113,103,90
6,204,206,209,210,211,214,214,215,214,214,214,214,213,211,210,210,209,208,207,205,203,202,202,200,200,199,197,196,206,209,212,212,212,214,215,216,216,214,215,215,215,214,212,210,210,209,209,207,205,204,203,203,204,201,198,197,208,211,213,213,215,216,216,217,217,216,216,217,217,215,213,213,214,212,210,210,209,206,205,204,203,202,200,199,210,212,214,214,217,217,217,218,218,219,218,217,217,216,216,214,214,213,212,212,211,209,206,206,204,203,201,200,210,214,217,216,218,219,220,219,219,220,220,219,219,217,215,216,215,213,213,213,211,211,208,207,205,204,203,202,212,215,218,218,219,220,220,221,221,220,220,219,219,217,217,218,218,216,217,217,215,216,214,210,207,206,204,202,214,215,219,219,221,223,223,222,221,221,222,223,223,221,219,218,214,209,201,195,196,188,180,176,174,153,181,198,217,218,220,220,222,224,224,223,224,223,220,207,199,202,199,185,168,154,135,151,166,174,158,156,156,130,183,199,218,220,222,223,223,224,225,226,227,211,197,165,156,159,164,174,162,147,139,142,157,167,149,143,135,116,133,151,218,220,224,225,225,226,228,224,220,209,194,176,160,145,109,132,140,136,114,97,105,97,97,99,109,117,138,172,220,221,224,225,226,229,223,221,209,193,188,175,171,171,107,69,68,64,69,109,141,165,179,196,211,212,215,214,221,223,226,228,228,223,211,213,190,175,182,182,187,148,92,72,54,131,188,218,228,228,225,222,219,216,213,211,222,225,228,226,218,208,205,194,182,179,175,184,185,131,76,73,67,121,237,223,220,218,218,218,218,216,215,213,222,226,224,218,209,207,199,190,188,178,173,183,173,160,120,75,73,52,142,238,221,221,220,220,219,217,215,214,227,219,215,215,209,203,191,186,183,175,171,173,174,176,142,89,67,74,66,203,230,222,221,220,219,219,216,215,195,225,217,209,200,197,186,179,174,169,168,170,176,174,130,87,72,75,50,163,239,222,223,222,220,219,219,218,79,151,226,218,198,187,178,170,168,166,164,167,173,174,145,96,66,69,72,212,231,225,224,224,223,221,219,218,77,62,110,195,198,181,179,175,171,169,171,168,176,174,164,117,70,64,71,217,231,227,225,225,224,222,220,219,72,75,45,63,156,195,176,169,169,167,173,174,173,174,157,109,74,76,55,194,239,226,226,225,224,224,222,220,70,52,48,36,51,138,169,169,171,171,164,154,151,146,121,99,82,79,71,216,237,229,228,226,225,224,222,220,51,44,41,47,41,38,110,163,167,161,152,138,128,117,102,93,91,89,56,152,248,229,229,227,226,225,223,220,42,49,47,43,39,37,33,93,161,163,146,131,119,131,121,88,90,90,50,153,247,229,231,229,227,226,224,222,44,49,51,43,34,41,36,24,87,142,127,111,91,110,86,69,85,87,142,233,235,233,232,230,228,228,226,224,46,50,44,38,33,35,28,30,24,82,86,83,137,213,191,168,193,216,241,237,235,234,233,232,230,228,226,225,45,44,33,31,30,28,26,23,25,5,92,217,245,250,251,250,246,243,236,236,236,235,233,232,231,228,226,225,46,32,27,26,28,25,21,21,14,55,236,250,239,240,240,237,237,237,237,235,234,235,233,231,229,227,226,224,39,23,25,26,22,18,19,21,2,117,255,235,242,241,241,239,239,237,235,234,234,234,233,231,229,227,226,222,32,28,27,17,24,25,11,22,6,156,255,241,243,241,241,240,240,238,237,236,235,233,232,232,232,229,224,220
23,119,123,125,128,131,131,133,135,137,138,139,140,140,140,141,141,140,140,140,139,139,138,137,138,138,136,135,135,120,123,127,130,132,133,135,136,138,139,140,141,141,142,142,144,142,142,143,142,142,140,140,140,139,138,137,137,121,124,128,131,133,135,136,138,139,141,143,143,144,144,144,144,144,142,144,148,145,142,141,142,142,140,139,138,122,126,130,133,135,136,137,140,142,142,143,145,145,145,144,146,150,140,119,122,143,146,144,143,143,143,141,140,124,128,132,134,137,138,140,141,142,144,145,147,147,147,152,153,154,142,137,112,127,138,144,146,145,144,143,142,126,129,134,136,138,139,142,143,144,146,147,148,148,166,150,147,167,117,122,131,128,87,123,152,145,145,144,143,127,132,134,138,139,141,143,145,146,147,150,147,162,163,135,111,116,67,99,104,86,95,144,150,148,147,146,145,130,134,137,139,141,143,145,146,147,148,151,149,172,154,147,66,96,134,154,151,144,153,152,151,150,149,148,148,131,134,138,140,142,144,145,148,149,151,152,156,173,156,155,82,120,166,151,155,156,151,152,152,151,151,150,149,132,134,138,141,144,145,147,149,151,152,149,158,167,154,153,125,141,152,140,108,140,156,153,153,152,152,151,151,132,136,140,143,145,148,149,151,152,160,156,148,146,148,161,161,163,158,140,74,96,167,153,154,154,152,152,152,133,138,142,144,147,148,151,150,155,174,160,143,132,137,145,136,134,127,116,77,87,168,154,156,156,156,154,152,135,138,142,146,148,150,152,150,161,177,161,138,113,118,153,158,151,139,121,78,74,165,156,158,158,157,156,155,135,139,143,146,148,151,153,152,169,177,164,138,119,117,127,131,136,147,130,78,59,163,160,159,158,157,156,156,136,140,144,147,149,151,153,155,177,179,166,149,148,150,135,112,100,108,101,67,56,158,163,160,160,159,157,157,136,141,146,148,150,153,152,162,181,177,164,149,148,137,148,135,117,105,77,59,49,86,149,169,160,162,159,158,138,142,146,150,151,154,156,173,179,178,167,142,133,108,133,148,121,97,67,52,61,91,86,143,169,161,161,160,138,143,147,150,153,151,164,184,181,176,150,102,94,90,85,114,134,97,56,50,60,84,57,47,155,166,161,162,139,144,148,151,153,153,179,188,179,158,140,112,77,58,50,136,156,84,56,45,58,68,54,35,109,173,161,163,140,144,148,152,151,175,191,183,170,148,138,115,81,57,106,143,125,70,47,52,65,67,53,43,128,171,162,163,141,145,149,150,158,192,189,179,159,147,137,106,74,59,94,94,80,54,39,60,74,64,53,120,172,165,164,164,142,146,151,148,177,195,183,173,157,147,128,102,70,41,44,47,59,55,51,63,62,72,142,175,167,167,167,165,142,147,150,158,194,189,182,166,150,138,121,91,66,47,59,67,73,69,63,50,102,163,174,167,168,167,167,167,143,146,147,189,193,179,170,155,142,130,107,81,63,55,73,79,79,67,56,122,178,173,168,169,168,168,168,168,142,143,162,202,182,169,159,143,130,115,98,77,62,60,76,74,61,49,133,183,172,172,171,170,169,169,169,168,150,144,177,195,176,162,153,139,122,109,93,76,58,59,70,53,59,142,180,172,174,173,172,172,170,169,169,168,46,108,198,181,172,153,133,129,116,97,84,64,52,47,50,85,160,182,174,174,173,173,173,172,172,170,170,169,15,98,181,168,166,141,133,123,87,73,57,37,36,79,132,178,179,173,175,174,174,173,173,173,172,171,170,170
7,159,159,159,160,158,159,158,157,156,153,154,153,151,150,149,150,148,147,146,144,142,142,140,139,137,135,134,133,162,161,161,161,159,159,159,158,158,156,155,155,153,152,153,152,151,149,147,146,145,144,143,141,140,137,136,135,164,164,162,162,161,160,160,160,159,159,158,156,156,156,155,152,152,151,149,149,147,145,144,142,143,140,138,137,166,165,165,166,164,163,163,163,161,160,160,159,159,158,157,155,154,152,152,151,149,147,145,144,144,142,140,138,168,168,167,167,166,165,165,165,163,163,161,160,160,161,159,157,156,154,153,152,151,150,149,148,145,144,142,141,170,170,168,168,167,167,167,165,165,165,163,162,161,161,161,158,159,158,155,153,153,152,151,148,145,145,143,142,171,171,170,169,169,169,168,169,167,166,165,164,163,162,162,162,160,159,158,156,154,153,152,151,149,147,145,143,174,174,172,172,172,171,170,169,166,166,170,171,169,166,165,163,161,161,160,158,157,155,153,152,152,149,146,146,175,175,174,172,173,173,169,178,158,128,152,140,153,164,169,170,168,163,159,159,158,157,154,153,153,151,148,147,175,175,176,174,174,172,172,194,168,176,164,93,77,95,119,132,146,164,168,163,160,158,156,155,155,154,151,149,177,176,177,177,177,173,184,187,181,196,162,110,94,78,74,86,87,97,124,152,159,162,161,158,156,153,152,150,178,177,178,178,177,175,188,181,188,185,162,156,159,115,70,70,77,77,75,76,91,105,126,147,161,155,153,152,180,180,179,180,176,181,190,190,194,180,172,178,165,134,100,74,73,75,67,72,73,74,71,106,162,157,155,153,181,181,181,182,179,186,189,194,190,178,176,174,158,150,136,103,70,73,66,67,76,77,74,70,90,117,153,155,181,180,181,179,182,191,195,188,180,176,168,162,163,165,147,115,79,69,75,71,82,76,69,64,61,73,146,158,183,182,183,179,183,193,197,189,179,172,155,158,168,164,145,110,85,76,62,91,161,147,130,119,116,133,158,157,184,183,184,176,187,194,194,180,174,170,159,160,166,149,127,101,83,81,72,85,171,171,171,170,168,165,159,158,185,184,184,174,194,199,190,169,171,172,163,158,149,120,112,100,80,84,91,79,150,172,165,165,164,162,161,159,186,186,177,176,201,196,184,171,170,164,156,150,123,113,113,96,87,83,82,114,169,170,167,166,164,162,161,160,186,189,169,183,201,189,177,178,167,158,152,134,118,121,107,94,67,59,111,166,173,170,170,168,165,163,162,160,188,184,165,194,193,181,175,174,156,153,142,127,128,119,97,90,90,142,177,175,171,171,171,169,165,162,161,160,191,170,172,196,187,177,176,165,156,147,135,131,123,107,86,136,182,181,176,174,173,173,170,168,166,165,162,160,187,160,185,188,183,177,168,164,151,136,134,124,111,89,109,181,180,177,177,176,176,173,171,170,167,165,165,162,174,170,186,180,181,179,158,146,132,128,125,111,94,101,170,184,179,178,177,177,175,174,173,171,169,166,165,162,166,181,180,179,181,165,138,127,119,113,107,93,110,171,186,181,180,180,179,176,175,175,174,171,169,167,165,163,164,181,185,190,160,140,127,113,103,95,85,99,177,188,182,183,182,180,179,177,176,176,174,172,169,168,166,164,170,172,189,176,136,142,119,98,90,85,93,160,190,183,184,183,182,180,179,179,177,176,174,172,171,169,167,164,169,170,176,160,140,148,118,89,81,92,170,191,187,186,184,182,182,181,180,180,177,176,175,173,171,168,167,165
7,200,200,200,199,199,199,199,200,199,198,197,196,192,171,192,190,176,162,152,145,132,118,106,76,57,36,73,163,201,202,202,202,201,201,201,200,200,201,200,199,196,186,192,194,178,158,134,123,104,82,68,50,43,32,83,169,203,203,204,204,204,204,204,204,204,204,202,201,199,190,194,194,184,167,134,108,81,60,46,36,33,39,85,171,205,206,206,206,207,207,207,207,207,205,202,202,202,192,192,193,187,182,175,161,136,98,62,43,44,45,86,173,206,206,206,206,207,207,208,208,207,206,205,203,173,175,195,193,187,187,189,183,178,137,81,59,55,51,88,175,208,207,207,207,207,207,208,208,208,208,209,193,135,151,198,197,190,189,192,183,181,139,70,64,62,59,82,169,209,209,208,209,209,209,209,209,209,208,211,178,151,196,181,187,189,184,191,184,173,124,71,68,70,65,53,97,212,211,211,211,211,212,212,212,212,211,208,181,209,235,191,149,174,178,181,175,158,114,77,72,74,67,40,52,214,213,214,214,214,215,214,208,199,191,191,214,227,224,222,179,145,160,171,168,153,123,90,79,79,68,37,53,214,214,214,215,212,202,188,175,164,149,116,112,137,159,169,158,135,126,139,150,147,127,97,87,83,67,58,126,215,212,204,194,180,169,166,161,157,143,103,80,94,112,117,114,117,115,102,103,114,110,99,94,82,67,87,159,188,179,170,165,164,166,164,159,154,133,99,87,89,97,104,109,112,112,98,86,96,90,95,93,89,77,115,125,169,170,172,170,168,171,170,170,162,140,104,84,91,101,106,105,109,107,93,85,89,90,97,98,120,107,144,92,175,173,173,170,172,176,176,172,164,145,101,78,90,103,113,111,110,107,99,93,89,100,94,93,108,105,101,46,173,174,177,177,175,171,171,165,157,128,89,84,92,97,102,103,103,101,99,92,91,104,96,93,92,103,111,87,182,180,177,175,172,173,171,166,160,127,79,73,73,69,74,80,86,91,90,91,88,90,90,87,86,92,105,94,180,180,176,174,174,175,166,164,171,142,78,61,61,59,85,95,91,131,148,119,113,81,79,89,80,77,72,67,170,172,174,170,169,167,160,165,166,131,80,66,68,65,67,78,94,115,123,101,88,96,104,96,52,59,79,62,162,162,167,165,161,158,156,158,151,113,74,71,72,71,66,72,151,155,110,84,82,109,144,65,21,33,88,104,157,156,156,159,158,155,154,156,151,105,66,54,67,75,69,89,134,88,94,79,81,107,101,34,54,52,90,137,154,154,151,155,155,153,154,154,149,103,61,46,50,65,62,71,91,70,77,73,76,84,82,84,87,79,100,138,153,147,139,139,138,136,138,136,122,90,62,56,63,71,70,71,113,80,118,103,89,79,110,80,64,68,94,128,136,137,125,113,107,107,106,100,84,77,78,107,102,89,93,80,99,98,130,74,57,50,107,89,71,75,72,100,117,120,111,99,92,95,98,96,119,162,169,168,139,115,106,94,68,67,110,60,66,44,72,101,69,79,62,72,109,108,125,134,139,145,174,151,165,174,175,155,165,181,178,107,72,67,86,82,65,58,108,79,66,81,60,67,148,116,192,219,203,178,195,125,167,152,172,180,175,177,187,139,72,106,84,73,56,107,176,108,72,89,69,63,152,122,174,205,208,192,184,111,149,129,162,177,174,172,174,162,121,154,148,95,43,127,171,123,114,147,98,64,129,135,183,209,214,214,184,137,101,113,161,170,161,144,153,159,165,155,164,118,51,121,149,120,144,170,131,77
2,156,159,163,166,169,170,172,175,177,178,180,181,183,184,184,188,184,190,190,192,194,193,193,195,194,194,196,195,157,160,164,167,169,171,173,175,177,179,180,182,184,184,188,186,144,167,184,190,160,178,200,193,196,196,195,196,157,159,165,168,170,172,174,175,178,180,181,182,181,188,188,160,121,130,172,172,128,145,187,195,195,196,196,196,158,161,166,168,171,172,175,177,180,181,180,184,192,187,157,128,111,123,146,147,140,141,130,187,197,195,196,196,160,162,166,169,172,173,176,179,182,182,184,201,198,164,120,113,115,124,122,137,145,145,110,151,203,196,196,197,160,163,167,170,173,175,177,180,182,181,197,204,175,134,102,102,111,126,122,137,138,132,127,182,202,198,198,199,162,164,168,171,174,176,177,181,180,189,208,172,133,106,98,90,110,136,146,133,151,164,188,203,199,201,200,200,161,164,168,171,174,176,179,180,178,205,193,141,109,106,106,104,128,131,134,176,202,202,203,200,201,201,201,201,162,165,169,172,175,178,180,177,197,204,167,130,104,107,106,117,115,142,187,203,199,199,200,201,202,202,201,202,162,165,169,173,175,179,178,184,208,181,141,105,100,101,113,121,134,205,200,199,200,200,201,203,203,203,203,202,163,166,169,173,178,180,178,208,200,161,126,108,110,102,116,115,169,203,197,200,201,202,203,203,203,203,204,204,165,169,170,174,180,177,199,222,195,155,128,117,115,111,109,137,200,199,200,201,201,202,204,204,203,204,206,206,165,169,172,175,178,176,222,212,179,148,121,114,112,116,117,185,202,199,201,202,203,203,204,206,206,206,207,206,165,169,172,177,177,191,231,204,169,138,116,112,110,113,140,204,199,201,201,202,202,204,205,205,205,207,207,207,166,170,172,177,174,214,224,193,162,130,113,112,114,112,172,203,199,202,202,202,204,206,206,208,209,207,209,207,166,171,175,175,186,231,214,185,157,126,112,113,113,105,186,203,200,202,202,204,205,207,207,196,182,172,184,211,166,171,176,172,213,230,204,175,148,121,110,114,114,107,148,207,201,201,202,206,211,202,183,176,171,144,154,213,167,172,173,183,231,216,193,171,145,119,109,111,114,123,119,160,202,206,207,205,189,181,181,172,152,167,205,209,167,173,168,208,229,206,188,163,138,117,107,111,119,128,138,128,141,173,181,175,166,173,183,144,175,216,209,209,168,170,175,229,219,206,180,154,136,118,104,115,126,138,149,147,137,155,165,180,185,178,153,146,212,208,209,210,168,166,201,229,208,197,172,156,139,118,105,127,144,156,162,156,151,166,177,176,166,157,159,197,212,210,209,210,167,172,225,216,208,193,173,159,139,119,111,141,157,161,166,164,154,163,162,151,170,196,211,211,210,211,209,210,161,197,230,211,206,192,171,157,138,120,117,151,159,158,165,168,138,136,163,195,212,212,209,209,210,211,211,211,168,226,221,209,203,187,165,152,137,120,121,155,157,153,167,146,145,184,208,209,207,208,210,209,211,211,211,211,200,229,209,205,201,176,151,142,129,117,132,149,157,152,149,165,205,210,207,207,208,209,208,210,211,211,211,211,224,214,203,194,189,166,147,135,124,123,136,140,152,142,176,207,204,205,208,208,209,209,208,210,212,212,211,211,214,207,197,185,188,154,137,134,126,131,121,133,166,190,206,203,205,207,208,208,209,209,209,210,211,211,211,211,209,204,192,180,190,148,128,135,134,124,142,186,200,204,203,205,203,205,208,208,209,209,209,211,212,212,211,211
4,149,151,153,156,157,159,162,163,162,165,165,165,166,167,168,167,167,167,166,165,166,166,165,165,165,164,163,163,150,152,153,157,158,160,162,163,164,165,166,167,167,169,169,167,168,169,168,166,167,166,165,165,166,166,165,164,150,153,155,157,158,161,162,164,165,166,168,168,168,168,170,170,169,169,170,169,168,167,167,166,167,166,165,164,152,154,156,159,160,162,163,164,167,166,167,169,167,176,166,158,171,172,162,170,170,169,168,168,167,166,165,165,153,156,157,159,161,163,165,165,166,166,169,164,185,190,164,134,168,180,145,140,172,172,170,169,169,167,166,166,153,156,159,160,162,164,166,168,163,193,194,162,171,201,164,138,183,178,153,105,158,158,163,173,169,168,167,167,154,158,159,162,164,164,167,166,172,218,216,179,131,197,168,135,200,182,135,127,176,133,113,166,171,167,169,168,156,159,159,163,165,165,169,163,190,210,210,167,125,192,170,139,192,172,157,176,147,125,90,131,177,168,170,169,156,158,161,164,166,168,169,167,206,187,199,153,112,170,178,180,178,196,219,187,125,97,89,121,178,170,171,170,157,160,163,165,166,169,167,175,209,177,187,164,96,154,165,183,196,205,198,182,152,102,77,132,179,170,172,171,157,161,164,164,167,170,165,199,206,172,166,166,88,142,140,116,162,181,171,184,164,119,77,144,179,171,172,172,157,161,164,166,168,167,173,213,183,156,148,121,89,145,141,90,170,143,156,198,172,133,93,162,177,173,173,173,159,162,165,167,169,164,186,215,173,144,138,124,111,125,123,100,164,115,132,220,187,148,103,167,178,174,174,174,159,163,165,167,170,163,200,217,174,142,126,111,114,118,119,129,139,145,158,211,198,156,102,133,182,174,175,174,159,163,165,168,171,165,212,215,174,140,122,112,119,117,139,160,171,198,195,185,185,151,118,107,179,176,176,175,161,163,166,169,171,169,219,213,170,135,136,123,116,110,151,179,198,195,191,175,147,154,126,111,178,176,176,176,161,163,166,169,169,176,225,210,167,148,157,133,118,148,193,205,198,195,180,157,128,133,108,133,184,176,176,176,158,162,164,168,168,180,227,208,178,179,168,136,169,207,218,208,196,188,166,142,123,109,102,165,180,177,177,176,160,163,165,169,168,183,226,215,198,190,177,145,196,214,218,215,183,173,153,136,119,96,130,184,176,178,177,177,160,163,166,170,168,183,227,220,205,185,181,154,199,218,216,204,170,156,144,132,110,100,171,181,179,179,177,177,161,164,166,171,170,175,224,220,206,186,175,168,201,214,200,185,160,143,137,122,94,137,186,178,179,179,179,177,162,164,167,170,172,172,218,212,198,191,177,172,189,196,181,163,148,143,134,104,103,178,183,181,180,178,178,177,161,163,167,170,172,172,214,200,190,194,183,172,182,189,174,155,138,138,124,93,151,186,179,180,179,178,177,176,160,164,167,170,173,172,209,191,189,193,178,161,178,191,171,144,126,127,107,126,187,183,183,181,180,180,179,179,157,159,161,164,168,164,206,199,193,185,175,159,170,190,159,127,119,115,108,164,174,171,172,170,169,169,170,165,113,113,113,112,115,107,200,212,202,189,178,163,161,185,150,121,114,107,100,107,106,105,105,104,104,106,98,112,102,103,104,103,107,94,190,224,206,193,187,167,149,182,156,120,106,101,99,97,97,97,96,95,96,89,126,191,109,109,110,111,114,99,176,225,203,188,185,168,140,175,157,115,103,98,101,103,102,101,102,103,94,137,206,198
23,132,136,139,142,146,148,151,154,155,157,158,161,161,162,163,165,165,165,169,169,169,172,172,172,172,173,173,174,133,137,141,144,148,150,151,154,156,159,159,160,162,164,165,167,167,168,171,174,172,173,173,173,174,173,174,175,134,138,141,145,149,151,152,155,157,159,160,162,165,165,164,166,160,165,168,147,168,175,174,175,175,175,177,176,136,138,142,146,150,152,153,156,158,159,161,163,164,164,172,172,158,148,126,87,169,177,175,178,176,177,178,177,137,141,143,147,150,152,154,157,159,161,163,161,165,173,178,157,107,106,98,143,180,175,177,179,178,178,178,178,137,141,144,148,151,152,155,158,159,163,161,170,184,163,152,100,106,152,174,182,176,178,179,179,179,180,180,180,138,142,145,147,151,153,156,159,160,163,158,184,189,131,90,126,179,122,153,181,175,179,181,180,181,181,181,181,138,142,146,149,152,155,156,158,161,164,160,187,193,141,151,202,166,118,120,189,180,179,181,181,181,182,183,183,138,143,147,149,153,154,156,159,161,165,164,193,187,185,200,175,149,159,134,152,164,180,180,181,182,183,183,183,138,143,147,150,153,155,157,161,163,165,167,190,181,189,179,177,178,168,132,82,93,166,185,182,184,184,183,184,140,145,148,152,153,155,159,163,164,164,170,176,171,175,178,172,164,157,114,69,59,122,196,183,183,184,184,184,140,145,148,152,154,156,157,162,163,175,179,165,161,172,170,164,161,143,101,70,64,78,138,189,183,184,184,183,139,144,149,152,155,156,159,161,166,202,186,168,174,162,154,144,122,124,105,71,58,81,78,146,192,183,185,183,140,144,150,153,155,157,160,163,163,197,197,183,176,146,116,74,75,139,104,69,49,81,81,139,194,184,186,185,140,145,150,152,156,158,160,164,165,189,194,178,162,147,117,61,79,141,99,65,65,88,94,179,188,186,186,187,141,146,150,154,156,158,160,163,164,190,195,169,185,143,75,51,105,95,57,57,90,92,128,194,185,188,187,188,141,146,151,155,156,157,160,164,164,189,189,179,176,131,79,39,57,34,48,68,97,96,174,188,186,187,187,187,142,145,150,153,156,158,161,165,165,189,186,186,173,131,93,31,30,54,81,91,88,124,193,185,187,187,187,187,143,148,151,153,156,158,162,165,166,191,186,188,172,128,99,49,49,84,100,105,87,163,193,187,188,188,187,187,144,147,151,154,158,160,163,164,168,191,188,186,165,129,101,56,65,95,104,96,116,194,185,189,189,188,188,188,144,147,151,156,157,159,162,164,169,192,185,177,158,125,99,63,71,100,105,87,148,196,186,189,190,189,189,189,143,147,152,156,157,160,164,164,173,192,175,168,153,123,100,77,73,101,99,88,177,190,188,189,189,190,189,190,143,147,152,156,157,160,164,164,174,190,172,165,148,125,107,85,77,98,88,117,195,187,189,189,190,191,191,192,144,148,152,157,158,160,165,164,177,190,173,168,149,130,112,90,80,89,87,173,191,189,190,191,191,192,192,192,144,148,152,157,157,160,166,163,182,191,173,164,149,135,110,89,83,77,144,193,187,190,190,190,192,193,193,192,144,148,153,157,159,162,164,166,190,184,171,158,146,131,97,90,77,136,194,187,189,189,190,190,192,193,193,192,144,148,153,157,159,164,162,180,193,178,168,149,130,115,97,81,116,195,187,189,189,189,190,190,192,193,193,193,144,149,154,157,158,163,160,188,185,177,163,143,123,113,96,79,171,192,188,190,190,190,192,191,192,193,193,193
15,159,160,154,115,167,134,65,112,119,119,120,124,127,132,144,153,160,166,169,171,175,179,184,187,190,192,194,195,163,164,153,118,173,127,66,115,118,120,122,125,127,132,145,155,163,167,169,172,177,181,185,188,191,194,195,197,166,167,149,122,179,120,69,118,118,120,123,126,128,133,146,156,164,169,171,174,179,183,187,191,193,195,197,199,169,172,146,128,184,111,72,120,118,121,123,127,128,135,148,156,164,171,173,175,180,184,188,192,194,195,198,200,170,176,142,134,186,102,78,122,119,121,124,128,128,136,148,157,166,171,174,177,181,186,190,193,195,198,199,201,173,179,136,143,186,96,85,124,120,123,125,128,129,136,149,159,167,172,175,178,183,188,192,193,197,200,201,203,175,182,132,151,184,82,84,119,115,117,121,126,128,137,150,160,169,174,176,179,185,189,193,195,199,201,203,204,177,185,131,172,187,139,137,153,147,144,140,135,131,138,150,160,168,176,177,180,186,189,193,197,199,202,204,205,180,182,145,199,172,172,170,189,178,176,178,181,168,156,147,157,165,167,169,183,186,189,194,197,200,204,204,206,180,182,132,169,135,140,140,165,151,148,175,188,169,151,156,179,186,169,146,144,191,192,194,199,201,204,206,207,182,182,124,178,148,98,118,138,135,130,161,175,158,139,168,189,181,180,187,132,145,196,197,199,203,205,207,209,187,180,123,194,162,62,115,124,122,125,128,148,148,165,199,181,170,192,195,177,130,135,202,202,203,206,208,211,191,176,125,199,150,65,121,125,124,122,131,161,163,165,195,166,164,189,178,190,157,117,135,205,207,205,210,212,193,173,130,206,142,64,124,124,123,122,194,183,143,134,141,137,168,175,176,175,159,143,110,131,200,212,210,213,198,168,135,211,133,67,127,124,120,130,201,193,156,127,98,105,170,188,180,146,138,136,127,108,118,197,216,212,204,164,144,214,124,70,129,123,123,113,172,209,182,169,152,157,166,168,159,126,117,124,119,119,106,119,211,215,208,157,152,214,115,74,131,122,122,155,191,195,190,169,153,155,150,147,153,133,117,120,117,114,114,99,150,226,210,152,160,212,107,79,133,115,177,195,182,165,181,157,124,137,135,133,136,123,116,121,119,116,113,112,105,176,212,147,167,212,99,83,134,118,185,168,148,139,153,132,114,117,115,114,115,117,122,133,132,116,111,115,113,111,212,142,177,210,90,88,134,120,138,134,117,136,134,115,111,123,112,104,128,131,139,148,136,111,109,115,116,113,214,139,185,206,84,94,133,123,121,122,122,149,188,158,132,129,127,116,123,132,138,138,125,110,111,117,119,117,212,137,195,203,78,98,133,122,123,124,126,125,141,143,120,105,137,155,108,114,137,132,119,115,116,122,119,117,213,134,207,202,72,103,132,122,122,123,124,127,130,143,153,163,171,156,140,136,126,120,117,119,123,122,119,117,211,134,215,197,67,108,133,121,121,122,124,125,131,148,161,171,183,172,109,126,145,147,138,130,118,107,102,99,205,137,223,189,64,113,131,122,122,122,123,124,130,146,159,168,184,151,102,98,155,136,104,88,75,71,70,63,199,139,228,181,62,117,129,120,120,121,121,123,130,145,159,169,184,133,111,112,75,81,82,72,69,67,63,60,191,145,233,171,61,120,127,118,118,119,121,121,129,145,158,172,175,122,107,112,94,63,87,75,70,67,64,60,186,154,238,162,61,123,126,118,117,117,119,120,127,143,156,173,160,111,109,107,106,57,75,76,66,62,63,59
7,54,66,83,113,127,137,144,148,149,154,157,159,160,161,163,164,165,164,163,161,159,159,158,156,153,151,148,146,54,67,86,116,129,139,146,149,152,157,159,162,163,164,166,167,167,167,166,164,162,162,160,158,156,154,151,149,56,69,88,116,131,140,146,150,155,157,160,164,165,167,168,168,170,169,168,167,166,164,162,161,158,157,154,152,58,70,89,118,130,142,148,152,155,159,163,165,167,169,170,172,172,172,170,168,168,166,164,163,161,160,158,154,60,71,91,120,132,143,149,154,157,161,165,166,168,169,170,173,173,173,172,169,169,168,166,165,164,162,159,157,61,72,93,120,133,143,151,155,158,162,166,168,169,171,172,174,176,177,177,178,176,174,173,168,166,163,161,158,62,73,93,122,134,145,151,155,157,162,168,171,174,177,176,175,172,170,163,150,149,150,162,172,167,166,164,161,63,74,94,122,135,145,154,160,161,162,161,160,149,141,131,105,107,111,101,91,141,146,115,178,169,167,166,163,64,75,96,124,135,145,152,136,125,119,122,120,103,94,88,69,84,73,75,79,93,86,104,164,173,170,166,164,65,75,98,123,132,154,140,94,96,106,104,102,94,83,83,82,76,85,84,79,71,63,81,106,124,174,167,165,65,77,97,125,151,155,124,81,68,69,76,88,101,107,109,88,64,96,91,71,66,53,65,86,79,171,170,166,68,72,108,150,149,134,124,108,99,103,118,118,112,105,94,65,51,59,51,42,45,48,56,77,132,177,169,168,58,98,153,149,138,139,122,100,94,99,107,94,88,79,54,44,65,93,117,138,156,166,174,180,182,175,172,168,100,162,154,145,144,128,101,55,56,71,58,41,33,45,122,164,178,193,195,193,190,186,184,180,178,177,173,170,164,160,149,148,123,104,83,43,43,32,12,4,12,17,26,114,198,182,183,183,184,184,183,182,180,177,174,171,152,152,153,132,110,98,89,77,49,27,30,34,30,26,2,47,196,184,187,187,186,185,185,183,181,177,176,173,150,153,135,107,97,92,106,112,63,29,35,33,30,28,19,25,176,192,187,187,187,186,186,184,182,177,175,173,149,129,101,88,87,84,88,77,36,18,7,12,23,27,12,11,162,195,187,188,187,186,185,184,182,179,176,174,121,100,92,90,87,71,59,46,31,14,13,36,43,28,27,161,192,189,189,189,186,185,185,184,182,179,176,174,97,96,89,80,66,51,43,55,56,35,31,27,22,26,125,195,184,186,187,185,185,185,183,181,179,177,175,172,96,84,67,60,55,53,61,74,57,21,32,77,121,168,190,183,186,187,185,184,184,184,182,182,178,176,173,169,86,76,70,70,64,54,48,39,23,65,152,186,188,186,183,185,184,185,185,184,184,183,182,182,178,176,171,166,47,45,52,48,40,35,37,71,125,170,177,173,176,181,183,184,184,184,185,186,185,184,182,181,178,176,173,174,15,9,0,13,120,120,147,168,174,168,172,178,180,181,183,185,185,184,184,182,180,178,176,172,172,173,168,113,16,8,0,16,138,114,114,107,105,105,106,103,101,101,103,102,97,93,93,90,87,83,78,81,63,37,17,0,5,0,0,21,72,62,64,65,65,67,65,65,67,66,66,64,64,65,62,60,59,58,59,40,0,0,0,0,0,0,0,43,82,76,75,74,75,75,74,74,74,74,74,73,73,74,73,69,68,57,13,0,0,0,0,0,0,0,0,28,78,73,73,74,74,74,74,74,74,73,73,72,69,66,66,67,38,0,0,0,0,0,0,0
16,53,50,47,45,46,48,48,51,51,57,72,83,94,104,112,120,123,126,130,131,137,144,148,153,157,161,164,167,52,50,47,45,46,46,48,50,49,57,72,83,93,102,111,120,125,123,127,133,138,141,148,152,156,160,163,166,51,49,46,44,46,46,47,47,47,57,70,81,92,102,111,118,121,144,127,105,128,148,150,148,155,159,162,165,51,48,45,44,45,45,47,48,46,57,70,80,92,99,112,117,154,162,128,97,73,89,132,159,156,157,161,164,52,48,44,44,45,45,45,46,46,56,70,84,82,142,161,157,163,135,106,99,80,51,47,98,155,167,165,166,50,47,45,44,45,45,45,44,46,54,71,68,108,185,157,143,137,117,98,80,71,67,49,33,62,120,149,166,49,48,46,43,44,43,44,45,44,57,60,90,170,152,126,122,112,102,84,60,65,70,57,49,40,40,60,89,49,47,44,43,44,42,44,44,46,49,66,156,152,121,115,102,83,74,60,58,55,69,70,53,53,45,40,38,47,44,43,41,42,39,42,46,36,74,132,134,113,107,90,71,62,52,54,56,34,71,69,78,58,50,44,39,45,42,41,40,42,40,43,35,53,166,135,105,98,83,61,54,45,39,51,38,25,79,73,91,66,56,44,35,42,39,34,35,36,36,41,15,136,184,131,97,67,55,49,42,30,40,41,10,32,85,77,88,71,58,42,36,108,103,101,96,90,88,78,89,183,159,116,74,42,31,30,24,29,39,12,0,48,81,75,96,80,71,51,46,87,83,83,81,80,80,74,166,162,131,85,49,27,23,20,4,9,0,0,0,48,75,76,110,104,84,63,47,78,78,78,79,79,65,109,164,122,91,55,33,19,24,9,0,0,0,0,0,34,75,85,120,106,86,78,41,84,84,83,85,80,84,165,136,87,48,36,24,22,23,7,0,0,0,0,0,10,63,97,126,79,83,83,34,84,86,85,88,70,136,165,100,55,23,20,24,29,31,31,14,0,0,0,0,0,59,133,100,56,76,70,26,85,88,91,78,102,154,107,61,24,49,36,28,34,38,36,36,5,0,5,0,0,128,125,71,50,55,40,26,84,88,84,87,155,110,60,22,44,99,57,59,54,47,42,33,24,21,23,0,96,141,92,55,40,34,24,26,87,87,74,144,132,62,24,28,82,69,51,57,58,49,45,37,26,27,3,39,160,119,69,35,28,21,23,27,86,87,81,123,80,28,32,77,85,72,75,60,43,33,35,29,22,26,19,113,165,120,44,22,20,17,25,23,83,87,86,86,73,68,82,85,86,87,84,77,68,52,63,61,59,74,77,163,163,126,42,7,15,33,30,22,83,84,85,85,86,88,84,84,85,85,85,88,88,89,89,88,89,88,80,167,168,126,54,8,50,39,29,27,81,84,85,84,83,84,84,83,85,86,85,87,86,86,86,85,86,87,77,139,151,114,43,61,115,54,48,45,79,82,83,83,84,84,84,84,85,85,86,87,87,86,86,86,87,88,81,102,121,73,43,83,121,87,57,58,80,82,83,83,83,83,83,84,84,84,84,85,86,86,86,87,86,86,86,86,91,64,65,80,108,138,86,71,80,82,81,83,83,83,83,83,84,85,85,86,86,86,86,86,86,86,85,86,86,87,89,83,84,151,122,101,79,81,82,84,83,82,83,82,84,85,84,85,85,85,86,86,87,87,86,86,85,85,88,90,74,143,150,121,81,80,82,83,81,81,83,82,83,84,83,83,84,84,84,84,86,86,85,86,87,85,87,90,71,127,165,134
24,194,197,198,200,203,205,205,206,207,208,208,210,209,210,210,210,210,210,210,209,209,209,210,208,208,207,205,205,196,199,201,203,205,208,208,208,209,210,210,211,212,212,211,212,213,213,212,211,211,211,211,210,210,209,207,207,197,199,202,204,207,209,210,210,211,213,213,214,214,214,213,214,215,215,215,215,213,212,213,212,211,210,208,208,199,201,203,205,207,209,210,212,213,215,215,216,216,216,216,216,217,216,216,216,214,214,215,215,213,213,212,211,200,202,204,207,207,210,213,214,215,217,216,217,217,217,218,219,219,218,219,217,217,218,217,216,216,215,214,212,202,204,206,210,211,216,212,216,217,217,217,218,219,220,220,220,220,222,222,220,217,219,218,218,218,217,216,214,203,206,210,208,227,237,186,216,219,220,219,220,222,222,221,221,222,220,222,222,220,220,221,220,219,218,218,216,206,208,211,211,226,247,184,202,224,222,221,220,224,222,222,224,224,247,237,205,222,223,222,223,221,221,220,218,207,210,212,216,214,245,213,185,225,224,221,230,220,226,255,221,202,255,251,191,186,229,222,222,223,223,222,221,207,210,214,217,215,229,255,206,203,225,233,255,226,227,255,239,187,239,255,203,156,221,226,224,224,223,222,223,209,212,215,217,220,218,255,236,186,212,248,255,251,218,255,253,197,222,255,205,148,209,232,227,226,226,226,208,211,214,217,219,222,220,233,251,231,214,236,255,255,217,238,255,197,198,243,192,140,204,234,229,226,234,218,175,212,215,218,221,222,225,222,248,255,242,240,255,255,227,208,253,208,169,215,179,133,184,242,228,215,222,194,161,214,218,220,222,224,227,226,231,254,245,255,255,255,221,181,231,216,151,176,186,133,140,218,208,217,212,161,191,216,218,221,223,225,227,229,226,248,255,251,240,241,214,177,193,205,157,172,199,144,177,194,219,220,167,178,233,217,220,222,224,227,227,229,228,242,255,233,212,211,230,214,168,217,178,156,206,221,245,230,215,186,165,227,232,218,222,224,226,227,229,231,232,237,255,240,221,215,227,221,198,215,188,192,255,255,240,219,189,158,197,239,230,219,223,224,226,229,231,234,234,235,255,255,240,216,219,240,250,233,235,255,255,246,233,209,174,167,229,236,234,220,223,226,228,229,232,234,236,232,255,255,252,227,217,244,255,255,255,255,255,243,223,199,161,195,244,235,235,221,224,227,229,232,233,235,236,232,251,255,255,245,229,232,255,255,255,255,255,242,214,177,161,230,240,238,235,222,226,227,228,232,235,236,238,237,246,255,255,255,245,237,255,255,255,255,254,235,208,162,192,246,238,239,237,223,226,228,231,233,236,237,239,240,240,255,255,255,248,237,246,255,255,253,239,220,196,167,234,244,240,240,239,224,227,230,233,234,236,238,240,241,239,249,255,255,242,228,237,245,243,231,213,190,157,204,250,243,242,242,242,224,229,230,233,235,237,238,242,244,246,250,255,255,227,212,216,222,227,213,189,152,164,246,243,243,243,243,243,224,228,229,233,234,236,238,202,187,191,199,233,218,214,218,223,236,225,205,176,135,219,255,242,243,243,243,242,225,228,231,233,234,237,242,178,155,157,138,134,133,140,137,141,138,130,130,127,117,163,205,246,244,243,242,241,224,229,233,234,236,237,248,191,158,161,143,130,123,112,104,96,88,87,85,84,89,71,135,253,243,245,245,243,227,229,232,234,236,238,248,201,158,157,141,128,123,115,108,100,94,92,91,89,88,81,212,255,244,246,246,244
0,216,217,220,222,223,224,225,228,228,226,226,227,227,226,227,226,224,224,224,223,221,220,220,217,216,216,215,214,216,219,222,224,225,226,227,229,228,227,228,230,229,228,228,226,226,226,224,223,222,220,220,220,220,218,217,215,217,220,223,224,225,226,227,230,230,230,230,230,229,229,230,231,231,225,226,230,225,222,221,217,209,218,218,218,219,219,222,224,227,228,230,231,231,231,232,233,234,231,228,214,218,235,220,200,221,226,227,223,163,203,223,217,219,221,225,226,228,229,230,232,234,233,232,221,204,225,215,168,139,184,193,147,141,220,235,217,143,205,224,218,219,223,225,227,228,231,232,228,218,236,235,195,146,139,186,171,144,108,151,166,117,172,237,200,137,212,224,220,222,225,227,230,231,230,232,220,165,159,221,191,158,116,165,182,164,125,145,173,131,162,224,197,128,198,229,220,223,226,228,230,230,232,236,217,189,134,181,207,165,139,162,196,163,131,140,174,130,138,217,186,114,163,235,221,224,227,229,231,230,245,234,228,206,164,147,217,170,139,140,197,161,126,136,169,131,100,181,180,116,126,232,222,226,227,230,229,237,235,216,244,206,174,128,197,171,135,126,193,160,115,115,146,120,99,158,186,118,125,232,223,226,228,231,229,252,250,197,227,201,184,122,164,177,137,115,183,149,104,94,116,104,118,187,177,110,154,237,223,226,229,231,236,248,234,201,202,178,151,104,143,171,127,101,139,117,100,107,119,102,136,187,170,108,184,236,224,227,230,231,237,241,217,184,193,159,113,100,141,133,109,105,122,118,96,116,117,108,166,184,168,112,211,231,226,228,231,233,233,255,250,221,186,142,134,112,137,137,95,96,144,115,102,138,128,136,181,188,151,119,230,229,227,228,231,234,235,254,254,237,207,156,141,115,155,158,103,128,156,159,183,183,176,162,174,162,125,130,239,227,229,229,232,234,236,254,255,241,222,187,157,150,142,148,191,218,213,214,206,187,182,160,139,133,103,147,243,227,230,228,232,235,236,251,255,241,215,193,166,156,168,193,228,218,221,206,196,185,173,154,120,119,94,194,239,229,230,227,230,234,234,246,251,237,218,205,177,161,181,204,222,215,213,200,188,178,161,143,123,94,158,240,230,231,230,228,230,233,236,241,247,235,222,208,185,170,196,200,211,213,203,189,175,164,151,136,99,132,240,233,232,231,230,229,232,235,237,237,244,234,223,208,189,171,182,193,197,211,194,180,167,155,142,112,111,227,238,233,233,232,230,229,232,234,237,236,239,234,221,208,187,167,159,178,185,192,184,172,160,144,118,103,214,241,233,235,234,230,231,230,231,233,236,238,238,238,222,212,187,155,146,162,170,167,163,159,145,114,102,201,244,232,235,235,233,239,225,231,233,236,244,245,234,216,215,202,168,138,146,155,157,147,138,136,112,141,214,245,235,239,239,236,240,179,114,219,222,227,192,216,247,216,205,188,171,161,158,148,148,134,121,99,172,237,234,229,234,225,214,226,166,86,78,152,155,150,66,159,255,227,215,198,189,175,155,135,136,124,105,96,146,146,149,149,130,104,93,100,82,77,73,148,151,122,96,109,189,218,214,203,185,163,141,126,122,112,91,112,140,129,107,86,71,67,73,73,74,70,67,155,150,109,107,99,100,139,179,185,172,146,129,118,110,96,72,93,118,86,73,71,70,64,64,70,75,70,68,155,138,106,106,101,98,87,106,135,135,119,108,100,91,74,54,42,58,74,65,65,67,64,60,62,69,71,70
22,150,151,152,151,152,153,152,151,151,152,152,152,151,150,149,147,148,148,147,145,144,144,142,141,139,138,136,134,154,154,154,154,154,155,155,154,154,155,159,156,153,153,154,154,150,150,148,148,148,147,145,143,142,140,139,137,156,156,157,157,158,157,157,157,156,158,133,152,158,156,146,138,155,152,151,151,149,149,147,145,146,145,141,140,158,159,160,160,160,160,160,160,159,158,112,123,165,158,156,99,146,157,154,154,153,151,149,151,125,133,146,141,160,161,162,162,161,162,162,162,160,156,129,99,165,159,163,99,128,163,155,155,154,153,151,157,105,100,152,142,162,162,165,165,163,164,165,164,163,162,144,87,154,163,163,99,110,167,156,157,155,153,157,153,91,108,155,146,164,165,167,167,166,166,167,166,167,162,146,82,140,169,165,104,103,167,159,159,158,155,161,140,82,126,155,147,167,168,167,168,168,168,168,168,169,166,155,102,118,175,169,114,95,167,161,162,159,158,166,123,81,147,152,149,170,169,169,170,170,171,170,169,169,169,165,122,98,174,170,107,86,166,163,163,160,165,160,109,95,161,152,151,171,171,171,171,172,171,172,171,172,172,168,131,78,166,172,103,84,164,167,164,162,163,143,84,123,163,154,154,172,173,172,173,173,172,172,173,173,173,168,147,81,137,179,115,87,162,170,165,164,156,120,74,155,159,155,155,173,173,174,174,174,174,173,174,173,175,163,152,117,95,172,120,84,160,173,167,169,160,101,102,170,158,158,157,175,175,175,175,175,175,175,175,175,176,170,156,139,108,146,122,98,139,175,171,165,145,85,141,169,161,161,160,177,177,177,177,176,177,176,176,176,177,178,160,158,167,162,147,152,101,105,159,159,116,86,167,165,162,161,159,178,178,178,178,178,178,177,178,178,178,180,169,161,147,139,141,150,106,73,82,111,81,118,177,164,164,163,160,179,179,179,179,178,179,179,180,180,179,180,176,169,126,63,92,143,121,98,88,89,58,149,174,167,166,164,162,179,180,180,180,179,180,180,180,180,180,180,177,160,110,72,53,105,127,111,106,103,54,154,175,169,168,166,164,180,181,181,181,181,181,181,182,182,181,180,174,159,134,99,62,59,66,91,107,87,49,121,182,168,170,166,165,183,182,183,183,184,184,183,184,184,183,182,170,162,140,94,65,71,72,94,135,110,69,74,178,170,169,167,167,184,184,184,184,184,185,184,185,185,186,183,169,162,130,95,74,76,100,153,161,139,100,49,132,179,169,169,167,183,183,184,184,184,184,185,185,185,185,183,171,164,143,109,79,80,128,171,177,157,130,57,100,183,168,169,168,184,183,184,184,184,184,185,185,185,184,184,169,162,148,115,79,88,145,176,172,154,118,53,113,181,167,168,167,184,184,185,185,185,185,186,186,186,186,185,165,157,160,120,85,97,160,178,159,132,100,45,142,177,167,168,165,185,185,186,186,186,186,186,187,187,186,186,162,153,156,122,87,96,167,167,143,113,89,57,165,174,169,170,173,185,185,185,185,185,185,186,186,186,186,187,161,148,147,122,85,87,155,153,139,105,72,71,175,173,178,170,123,190,191,192,192,192,193,194,194,193,192,195,174,147,148,121,91,89,149,151,129,92,51,101,192,169,131,81,41,127,130,134,139,142,145,149,151,154,158,163,161,148,142,120,104,86,140,145,113,76,46,126,132,75,44,42,40,89,88,88,90,89,88,88,87,86,89,88,99,152,142,119,106,80,111,116,82,57,44,58,46,29,38,47,34
11,193,195,196,198,200,199,200,201,201,200,199,198,196,197,197,195,194,193,191,191,190,189,187,186,185,184,183,180,195,197,198,200,200,202,202,202,201,201,201,200,199,199,200,198,196,196,194,193,192,191,189,188,186,185,184,181,195,198,201,201,202,203,203,203,203,203,202,201,200,199,189,198,200,197,196,195,192,192,191,190,187,187,186,184,198,199,201,203,205,204,204,205,205,205,204,204,201,214,164,154,206,197,197,198,195,193,193,192,190,187,187,186,199,200,203,205,206,206,205,205,206,206,206,205,204,217,169,129,203,199,199,199,198,196,195,194,192,189,187,186,200,202,204,205,206,207,206,207,208,208,206,206,206,213,167,133,200,201,199,200,199,198,196,194,193,192,190,187,203,204,206,206,208,209,209,209,209,209,208,207,206,225,179,137,198,205,200,201,200,199,198,195,194,192,190,189,203,206,207,208,210,211,211,211,210,209,210,209,209,231,187,134,193,207,201,201,201,200,198,196,195,192,191,190,205,207,208,210,211,211,212,212,212,211,211,208,214,226,175,129,194,208,203,203,202,201,199,197,196,195,193,192,205,207,210,211,211,212,212,212,212,212,214,212,219,218,172,126,199,208,204,204,203,203,202,199,197,196,193,192,206,209,212,213,212,213,214,217,218,213,190,179,224,214,174,133,204,208,206,206,205,204,203,200,198,196,193,193,209,211,213,213,215,219,215,199,194,209,173,124,185,197,153,134,212,208,206,206,206,205,203,202,200,198,195,193,210,212,214,214,205,195,217,177,127,155,186,137,112,134,115,142,220,210,208,207,206,205,204,202,200,199,197,194,210,213,215,222,199,133,175,190,125,142,188,136,99,111,102,170,220,210,210,209,208,207,206,205,200,199,199,197,213,214,220,229,211,150,144,199,130,141,174,126,100,110,101,178,220,211,211,208,205,199,191,196,206,202,198,197,215,214,233,238,214,157,122,177,124,127,162,120,98,101,94,177,222,211,211,201,199,183,165,157,161,198,200,197,213,221,236,219,204,162,106,145,119,137,170,132,93,98,97,183,220,210,221,205,177,152,132,129,104,166,208,197,214,222,244,220,203,155,103,159,124,151,211,153,102,107,110,166,212,214,202,153,106,115,146,161,152,188,206,199,216,225,248,232,191,139,119,193,159,153,240,151,100,124,149,174,206,200,153,99,134,206,216,214,213,207,202,199,214,227,247,223,183,183,140,206,217,114,160,135,130,164,157,170,176,149,102,150,221,214,209,208,205,204,203,200,215,226,244,222,199,186,138,179,173,115,172,198,182,169,146,147,136,98,148,226,214,213,212,210,208,205,204,203,217,224,239,229,212,189,193,202,206,197,192,184,172,160,141,123,99,131,221,217,215,214,212,210,208,207,206,204,217,221,234,226,210,189,179,190,208,197,185,177,158,154,131,94,142,218,220,216,216,214,212,211,209,208,206,204,229,229,230,224,201,171,162,180,187,180,176,159,153,140,99,158,229,221,219,219,217,215,212,211,210,210,206,205,118,172,224,206,182,157,176,184,180,170,160,149,125,106,171,231,220,219,219,218,217,215,213,212,210,209,206,205,78,92,194,207,200,199,188,176,172,151,129,97,133,204,230,221,221,219,218,218,216,215,214,212,209,207,205,204,99,94,104,166,198,193,176,164,155,131,93,128,234,229,222,223,222,221,219,218,217,216,214,212,211,208,206,206,91,93,87,93,130,146,152,145,128,104,85,202,232,223,225,224,223,222,221,219,217,217,214,213,211,208,207,198
12,113,116,120,122,124,127,128,131,134,135,137,140,143,145,144,143,146,147,148,149,148,149,147,148,148,150,151,150,115,118,122,124,126,128,130,133,134,137,140,142,144,147,149,150,147,147,143,141,152,150,150,151,150,151,151,151,116,121,123,125,127,130,133,134,136,138,143,144,144,131,109,132,154,153,129,91,105,160,154,156,157,152,154,151,118,122,124,126,129,132,133,135,139,141,141,148,164,135,110,84,157,163,135,108,58,146,133,125,137,158,154,155,119,122,125,128,129,132,134,137,140,142,140,158,181,154,137,81,126,173,128,120,76,70,110,106,73,131,162,154,120,123,127,129,131,133,136,140,141,144,142,163,183,165,136,88,123,179,130,121,71,48,126,108,72,58,163,155,122,124,128,131,133,135,138,141,142,144,145,163,183,178,144,106,121,184,138,117,56,65,139,104,62,35,145,162,123,126,129,132,134,137,139,142,146,146,146,150,140,173,156,114,108,175,131,99,39,77,141,99,58,32,133,168,125,128,130,132,135,138,141,142,145,146,159,130,80,109,152,95,92,151,106,89,44,68,130,98,63,31,129,170,125,128,131,134,136,139,142,144,144,166,165,111,86,61,118,83,76,135,100,90,47,64,120,96,66,28,129,172,127,129,132,135,136,140,143,141,161,164,150,122,102,60,78,85,55,124,100,73,44,64,124,101,66,29,144,167,127,130,133,135,137,140,143,145,162,127,146,138,103,70,43,80,71,106,123,85,52,90,163,125,73,41,165,162,127,131,134,136,139,142,143,152,164,124,129,132,97,75,31,79,89,101,145,102,56,108,169,133,54,33,158,166,128,133,135,137,140,143,143,155,158,132,105,121,104,74,25,43,77,48,99,96,32,84,121,66,49,47,81,172,130,133,135,137,141,144,143,159,158,132,98,125,99,62,40,5,16,0,74,128,113,132,119,90,77,65,52,158,130,134,135,139,142,145,143,162,162,133,103,110,93,57,47,10,17,52,143,159,154,142,127,98,75,58,63,163,131,135,137,140,143,145,145,163,161,132,101,89,92,66,58,18,39,115,160,158,152,133,116,89,69,48,76,175,132,135,138,141,143,147,147,164,161,140,120,91,75,83,60,39,89,157,161,169,149,124,107,85,65,44,91,179,132,135,137,141,144,147,147,164,159,145,131,117,92,76,79,99,131,171,168,173,140,114,99,76,60,45,134,176,133,136,138,143,145,147,147,162,164,151,135,127,121,101,104,120,131,172,171,163,127,103,91,72,51,72,172,169,133,136,139,142,144,148,149,157,162,155,140,133,131,117,104,111,128,176,167,146,119,97,83,67,42,108,178,167,132,135,138,140,143,148,150,154,155,153,146,138,132,122,107,101,134,175,160,132,113,90,71,62,42,139,176,168,133,135,138,141,145,148,150,151,148,151,147,139,135,122,106,95,132,160,147,115,98,80,64,53,57,166,171,169,133,135,139,142,145,148,150,151,152,153,150,141,134,122,108,90,126,145,127,100,86,69,61,42,103,177,168,170,133,136,139,143,146,148,150,152,153,156,146,135,129,114,99,84,121,126,103,90,73,59,54,54,157,172,169,170,133,136,139,141,146,149,150,152,150,154,136,119,113,97,79,85,113,112,90,83,65,60,47,112,176,169,169,170,133,136,140,142,145,149,150,150,149,158,130,114,105,82,80,87,110,106,89,77,65,53,64,165,171,169,170,170,134,136,140,144,147,148,153,146,155,162,131,124,107,90,93,97,114,102,88,67,57,43,114,174,169,171,171,171
24,176,178,179,180,181,182,183,184,183,183,184,183,183,182,181,180,178,176,175,175,174,171,169,169,164,163,162,160,177,181,182,183,184,185,184,185,186,186,186,184,184,182,182,182,181,180,178,176,175,173,171,170,167,165,164,163,179,182,184,185,186,186,187,188,188,189,189,187,186,184,184,184,182,182,181,178,176,175,174,172,169,167,166,165,181,183,186,191,187,189,190,190,190,191,191,189,189,187,187,185,184,183,181,180,177,177,177,174,172,170,169,168,181,189,180,157,192,191,192,193,192,193,193,192,192,190,190,189,186,185,184,183,182,179,177,176,175,173,170,169,181,196,167,104,156,200,193,196,195,195,195,194,195,193,192,191,189,188,186,185,184,182,180,178,177,175,172,171,185,191,160,116,102,193,195,197,197,197,196,196,195,195,194,192,192,190,188,186,185,185,183,180,178,177,175,173,186,193,184,135,86,155,206,196,199,198,201,202,196,196,196,192,192,194,194,189,188,185,184,181,179,178,178,180,188,191,196,160,99,107,203,199,200,200,183,183,203,200,198,200,198,182,177,196,190,187,186,184,183,176,152,137,190,192,196,187,138,91,158,210,200,187,144,110,174,187,141,140,180,152,108,152,198,187,187,187,176,155,117,112,191,193,196,200,166,105,96,201,202,173,162,133,108,145,120,83,112,149,105,79,182,194,189,178,163,133,100,171,192,194,196,201,185,125,92,155,211,166,179,157,113,106,127,93,116,149,109,74,173,200,179,152,150,99,120,189,192,195,197,200,201,169,129,111,190,149,168,171,130,90,123,105,126,153,108,84,189,199,138,129,131,77,157,189,194,197,200,200,204,198,142,112,144,145,135,175,140,104,95,94,120,151,100,107,210,171,114,134,109,97,187,183,196,198,200,203,204,206,168,159,145,132,115,149,151,108,77,73,87,111,81,91,201,127,116,135,87,157,194,183,196,199,202,204,206,207,202,180,145,111,93,94,150,127,103,64,55,76,66,61,107,107,126,113,95,192,188,186,198,201,203,205,207,207,210,181,126,109,100,88,127,160,144,80,38,76,87,109,116,123,130,90,135,200,186,185,198,200,205,207,207,209,211,186,160,140,104,93,120,157,131,87,71,102,136,141,138,119,110,79,176,197,191,188,198,201,205,206,207,211,209,201,181,146,105,97,114,147,130,137,131,129,143,139,133,110,71,109,201,192,192,191,200,204,206,206,209,213,210,198,192,160,129,107,93,139,177,173,167,154,146,136,124,89,75,187,197,193,193,192,200,203,207,208,210,212,213,197,192,168,141,109,99,132,184,182,177,160,144,129,113,63,152,208,194,195,193,191,200,204,207,207,212,213,216,197,179,164,150,117,113,142,177,172,163,149,133,120,84,100,207,197,198,196,193,192,203,205,207,209,212,213,216,203,171,170,158,130,118,143,164,162,158,137,117,100,68,180,205,199,199,198,195,193,203,206,207,209,212,213,213,216,189,169,157,137,110,127,151,150,145,121,103,63,140,212,199,201,198,197,195,194,202,206,207,209,214,214,213,217,207,181,158,134,105,112,133,131,122,103,67,122,213,204,203,200,199,197,196,194,202,205,208,211,214,215,214,217,211,180,153,125,113,114,127,123,106,72,89,216,207,205,204,202,199,199,196,194,202,206,209,212,213,214,215,215,209,184,157,143,136,130,130,124,94,58,165,218,206,206,204,203,201,199,196,193,200,205,208,209,211,213,216,208,203,194,176,154,133,138,134,113,77,84,208,208,207,205,204,202,200,198,196,192
6,212,213,213,212,212,212,213,212,213,211,211,210,209,209,208,209,207,207,206,204,202,202,202,201,199,199,197,195,214,215,215,215,214,215,214,214,215,212,212,212,211,211,211,209,208,209,207,206,204,204,203,202,201,199,199,197,217,217,217,217,217,216,216,217,216,215,214,215,214,212,212,210,210,210,209,207,206,205,205,203,202,201,200,198,218,219,220,219,218,218,218,217,217,218,217,216,215,213,212,212,212,210,209,208,208,207,206,203,202,201,200,198,219,221,221,220,221,220,219,219,218,218,217,217,218,216,215,215,214,212,211,210,208,208,207,205,204,203,202,201,220,223,224,222,224,223,222,222,220,220,218,218,219,216,216,217,215,214,212,211,211,209,208,207,205,204,202,202,221,223,225,226,226,225,224,224,223,221,220,218,220,218,218,218,217,215,214,214,214,211,211,211,208,205,203,202,224,226,226,226,226,226,225,225,225,228,227,226,222,222,223,223,221,218,215,213,210,206,196,192,204,205,206,203,225,228,227,227,227,226,228,226,220,208,202,208,209,196,186,181,173,185,186,185,175,177,153,169,220,188,191,206,227,228,230,231,229,230,219,202,192,172,157,150,152,181,170,156,144,155,181,184,171,169,161,161,196,151,187,211,228,231,235,232,219,205,178,173,182,179,178,153,94,135,162,159,123,144,147,143,132,112,114,124,143,177,209,207,232,229,217,201,187,179,172,167,173,182,174,120,80,64,83,87,88,107,118,136,141,163,179,192,207,214,210,208,214,201,188,181,174,168,166,156,162,171,158,115,74,63,69,104,143,185,214,219,224,227,224,221,218,213,211,210,203,198,188,177,170,171,169,164,163,167,170,149,90,51,141,234,230,233,226,224,221,220,220,218,217,215,213,211,215,199,188,178,173,172,171,164,164,167,171,146,91,61,86,231,228,226,225,224,223,223,223,219,217,217,215,213,200,191,188,180,173,172,170,172,166,168,166,151,93,70,52,181,240,227,228,227,225,224,223,221,218,217,217,214,190,188,185,177,175,173,173,173,175,178,176,163,106,69,54,122,243,227,229,227,226,225,223,222,220,218,216,215,202,177,174,178,185,180,173,166,160,162,164,142,100,70,62,67,230,234,229,228,227,226,225,223,221,218,218,217,194,170,172,183,187,187,171,165,157,154,145,121,98,79,56,107,237,232,231,229,229,227,227,225,223,220,219,219,166,157,174,181,178,174,166,155,145,154,142,105,98,89,56,206,243,231,231,231,231,231,228,225,224,224,220,218,119,138,156,172,164,154,143,132,122,121,105,94,93,97,60,212,239,232,232,231,230,229,227,226,224,221,220,217,52,81,112,145,142,126,116,108,99,75,57,76,102,102,50,193,243,231,233,230,229,228,227,225,223,220,219,217,47,24,30,63,91,94,77,72,73,64,62,91,98,82,73,218,238,233,233,231,231,229,227,226,224,221,219,218,52,35,8,15,15,39,103,137,112,77,75,101,117,179,219,237,234,235,232,232,231,230,227,227,227,223,220,219,46,44,11,19,1,144,255,249,238,199,177,192,230,246,242,236,235,235,232,232,231,230,228,227,226,223,221,218,43,46,15,3,40,244,245,240,244,250,251,248,242,237,238,237,236,235,234,233,231,229,228,227,228,232,234,231,50,40,12,1,165,255,240,243,243,242,240,239,240,240,240,238,236,234,235,238,239,240,234,228,220,184,150,153,51,25,1,81,255,240,244,242,243,242,241,241,239,239,239,237,236,237,235,206,167,150,130,106,81,49,30,29
5,114,121,129,136,144,151,157,161,162,167,172,175,178,182,185,184,199,173,176,199,197,199,200,200,200,202,202,201,115,122,129,138,144,152,158,161,164,170,171,179,182,184,187,186,221,151,145,205,198,201,201,201,202,203,204,203,116,123,131,139,147,155,160,164,168,169,181,173,181,188,185,205,211,114,163,206,199,202,204,204,205,206,206,206,118,125,133,141,150,155,161,166,168,171,219,142,157,197,183,231,168,102,191,206,201,204,206,206,206,206,207,206,121,127,134,143,151,154,165,169,166,188,210,117,165,195,201,237,136,127,210,204,205,209,208,208,208,208,209,209,120,129,135,141,160,177,146,173,161,216,171,106,187,189,235,200,117,166,215,206,209,209,210,210,210,212,212,211,122,129,136,138,178,194,115,172,169,233,153,125,192,210,227,138,121,202,209,208,207,210,209,215,213,213,213,213,123,129,138,138,183,214,114,168,184,206,129,150,196,233,201,116,147,216,204,212,236,219,167,207,217,215,215,214,124,130,139,143,177,253,135,149,200,184,122,172,204,241,190,128,181,215,220,235,225,238,170,193,223,216,217,217,124,130,140,150,160,255,212,163,189,195,150,168,222,224,165,134,200,221,250,201,185,239,139,202,222,218,219,219,126,131,141,153,149,242,255,238,192,178,156,158,210,189,148,160,223,239,197,132,182,230,119,196,228,221,221,222,128,132,143,153,156,181,255,255,224,167,139,133,152,148,155,199,233,225,170,113,206,224,121,159,235,222,223,223,125,132,145,153,165,162,198,255,229,178,133,119,122,125,151,206,192,177,137,147,230,204,135,128,229,224,226,226,127,134,146,154,164,173,166,255,243,187,154,125,120,120,138,172,171,136,118,208,239,222,150,131,227,227,227,227,127,135,146,156,166,173,167,255,255,200,177,139,116,117,127,149,151,109,176,230,238,229,160,141,232,229,229,229,128,137,147,158,168,173,171,255,255,217,194,151,117,117,123,149,168,175,208,207,237,226,155,146,235,230,230,231,128,136,149,160,167,175,170,255,255,231,198,148,117,112,130,174,205,216,211,179,188,222,149,157,240,230,232,233,128,138,150,160,167,177,170,255,255,233,199,158,123,108,150,204,212,209,201,171,149,167,131,167,242,231,234,235,130,139,152,163,167,178,168,239,255,232,209,173,133,134,165,198,204,196,183,156,133,132,114,185,242,232,236,236,129,141,153,163,170,177,169,221,255,238,213,179,139,138,180,188,190,169,164,143,128,117,163,231,236,236,238,238,130,141,153,162,171,179,170,224,255,241,199,167,140,123,160,166,166,146,143,132,120,175,237,236,238,238,237,239,131,142,154,163,171,182,168,229,255,219,176,146,132,126,142,153,148,132,127,122,193,241,234,236,239,239,239,239,130,143,155,165,172,183,167,238,255,210,172,139,139,142,135,143,132,122,116,193,242,233,237,238,240,240,241,239,131,144,156,165,175,176,195,246,253,222,183,141,149,153,130,129,120,111,187,241,233,238,240,240,241,241,241,240,132,144,156,168,169,199,255,255,232,199,174,149,150,143,121,118,98,166,241,232,237,240,240,241,242,241,241,242,132,143,157,163,183,255,255,255,253,223,161,138,137,132,118,110,108,224,236,234,239,241,242,242,241,243,243,244,132,143,155,162,243,255,255,250,238,234,213,172,133,117,109,95,128,240,231,235,238,240,242,242,244,243,243,244,131,145,148,206,255,251,252,233,229,212,213,204,158,126,119,107,106,205,234,233,236,239,240,241,243,242,242,244
11,112,119,127,136,142,148,153,159,162,164,167,168,170,176,174,174,174,174,174,175,175,173,170,176,126,92,149,206,116,122,130,138,144,150,154,159,163,166,169,168,194,155,173,174,174,174,173,174,173,171,168,176,135,114,151,211,121,127,136,144,149,154,158,164,168,170,173,168,222,126,148,182,174,176,175,175,173,171,170,166,152,209,199,205,126,132,143,151,157,162,168,173,175,177,179,175,241,137,116,191,177,178,178,176,175,174,173,163,190,167,201,206,133,139,149,157,164,170,175,180,184,185,187,185,245,131,103,196,185,184,184,182,181,180,177,177,181,138,215,206,137,145,158,166,171,177,183,188,192,195,195,196,243,120,112,205,191,194,192,191,189,187,185,179,183,207,199,206,142,150,165,175,181,185,191,196,201,203,203,211,254,114,123,215,199,201,200,199,197,193,190,186,188,166,149,208,145,156,171,182,188,194,200,205,209,212,206,240,255,83,147,223,207,208,207,206,204,201,199,194,193,180,180,205,149,162,180,188,194,201,209,214,216,220,212,250,231,83,173,230,216,216,216,214,212,208,205,202,199,194,200,214,153,167,184,194,201,207,214,220,223,221,243,247,122,71,187,234,222,222,220,221,219,215,212,209,206,200,204,229,159,172,190,199,207,214,220,224,225,228,227,233,131,71,199,237,229,229,229,228,226,222,219,216,212,205,206,231,164,177,195,204,211,219,225,233,255,255,112,109,162,91,207,242,234,235,234,233,231,228,225,223,217,214,217,230,168,183,199,209,216,221,230,212,243,237,128,76,151,110,183,252,237,238,240,237,235,232,230,225,225,207,189,235,170,186,202,214,217,227,255,188,92,144,180,97,120,111,153,255,241,244,244,242,242,239,237,232,246,127,85,242,173,190,207,212,233,255,249,213,151,86,157,122,85,120,111,254,247,250,249,244,236,219,197,193,188,74,48,94,177,195,208,232,255,213,150,190,211,114,91,107,72,141,102,231,255,250,240,229,236,208,175,172,142,77,58,44,178,198,209,255,247,159,105,92,194,125,68,97,58,165,159,165,241,238,247,244,231,193,155,124,96,63,53,52,182,199,214,255,218,136,96,48,151,136,72,115,48,112,174,93,183,246,250,212,156,110,59,33,47,42,46,50,184,201,211,245,192,119,87,58,107,149,84,135,79,121,160,143,203,221,182,114,72,43,29,32,34,33,35,48,186,204,213,245,218,147,106,80,79,119,112,148,121,215,179,137,167,141,80,30,42,50,28,26,29,30,43,4,185,204,214,252,226,158,124,92,89,107,167,215,223,218,157,120,116,36,28,34,21,45,44,18,18,27,27,0,186,204,214,254,233,182,142,99,109,123,223,255,246,188,130,102,49,28,10,41,23,20,44,35,12,12,13,16,185,204,215,248,234,195,146,112,124,134,232,244,202,155,117,56,0,40,20,15,38,21,24,37,26,10,13,13,191,210,226,240,227,207,155,134,133,138,208,229,179,129,101,52,0,13,42,11,25,34,17,18,31,12,10,12,148,160,166,185,227,212,165,154,135,137,184,210,169,122,69,39,10,0,37,32,12,26,28,11,19,23,1,10,112,112,105,129,227,206,174,164,135,120,168,172,138,88,10,24,30,0,17,37,23,18,22,16,7,21,6,0,120,121,117,139,233,212,183,161,134,110,138,127,92,35,0,11,43,0,0,35,28,22,17,13,3,8,12,0,119,121,121,126,228,214,173,151,130,114,122,109,32,12,8,1,41,12,0,18,33,19,16,14,9,4,0,3
12,53,58,68,82,87,94,99,104,106,108,111,113,116,118,121,123,124,126,126,128,129,130,131,131,132,131,131,132,53,58,68,83,89,96,100,105,106,109,111,114,117,119,121,123,126,126,128,129,130,131,132,132,133,133,133,133,54,58,70,83,91,97,102,105,107,111,112,113,119,123,121,126,119,128,130,131,132,132,133,135,135,135,134,134,55,60,73,85,92,98,102,105,109,113,116,127,95,95,131,137,87,78,132,128,131,137,134,137,136,137,136,136,56,62,74,88,93,100,103,107,113,107,144,143,103,70,113,140,100,58,83,96,77,122,141,136,137,138,138,137,57,63,74,88,94,100,104,108,114,108,163,151,118,86,93,141,111,85,53,93,67,70,139,138,138,139,140,140,58,65,79,90,94,101,105,109,112,116,165,168,133,92,89,145,115,91,49,82,86,51,113,146,138,140,141,141,59,66,80,90,96,102,108,112,108,133,141,159,147,95,80,150,115,86,46,79,84,52,121,145,141,141,143,143,60,66,80,90,98,104,106,105,114,140,137,127,132,87,62,128,113,76,43,82,77,57,134,145,143,143,143,143,60,67,81,90,98,102,114,154,164,107,69,76,110,71,47,94,83,60,48,80,69,66,144,144,145,144,144,144,60,69,85,91,99,98,148,186,141,90,68,45,94,71,42,77,71,55,46,69,60,73,148,144,146,145,145,145,62,71,84,92,98,105,160,133,121,96,80,46,78,104,50,73,99,68,54,94,73,80,153,144,146,146,147,147,62,72,86,94,96,118,156,104,108,108,84,58,34,69,34,48,95,65,55,111,92,51,102,154,146,148,147,148,62,73,87,94,94,127,149,109,87,107,82,73,23,9,32,58,65,59,84,90,68,48,58,146,149,148,148,148,63,74,88,94,94,131,165,124,94,82,74,60,19,29,72,109,115,106,106,89,73,68,69,147,150,149,149,149,63,77,90,96,93,137,164,123,106,75,57,51,36,60,109,133,134,124,109,85,78,63,94,156,148,149,149,149,64,78,91,97,94,138,160,132,114,84,67,86,80,112,140,144,139,119,97,83,67,54,126,154,150,150,151,151,66,78,90,97,97,134,152,128,110,87,86,96,89,141,143,142,138,111,89,79,61,74,152,149,151,151,152,152,66,80,90,98,100,122,150,125,107,91,89,81,95,136,133,140,128,101,82,74,56,112,157,149,152,151,152,152,67,81,90,97,103,115,148,121,108,99,93,91,112,129,133,133,113,92,77,65,64,143,152,152,153,153,154,154,69,84,93,98,106,109,140,125,118,117,103,96,118,126,128,114,96,81,72,58,92,156,150,152,154,154,155,154,70,83,91,100,107,106,131,135,120,114,101,90,99,114,114,97,78,71,67,62,135,155,151,152,154,155,155,155,72,85,91,99,106,109,123,144,114,107,95,83,80,92,91,82,69,70,58,100,157,151,153,154,155,155,155,156,72,86,92,100,106,111,117,150,126,104,86,77,82,83,83,77,67,65,67,144,151,152,154,155,156,156,156,156,72,86,92,100,106,111,115,148,140,108,88,87,95,84,83,82,68,50,99,157,150,153,155,156,156,156,156,156,73,86,93,99,108,110,127,160,150,117,106,101,100,83,75,71,63,41,108,159,150,154,155,155,156,157,157,157,74,87,93,101,103,128,151,144,169,124,113,101,95,81,70,62,59,38,110,159,150,154,156,155,156,157,157,157,75,87,94,102,104,158,164,118,153,129,117,99,90,79,61,60,58,40,120,158,151,155,156,157,157,157,157,157
4,175,175,176,176,176,176,176,176,176,175,176,177,175,175,175,174,173,170,171,170,170,169,167,166,164,163,163,162,177,177,179,179,179,179,179,179,179,178,178,178,181,178,176,176,177,179,175,172,171,169,169,168,167,166,165,163,182,182,182,182,181,182,181,182,182,182,181,179,176,183,182,172,144,133,173,179,178,176,171,171,171,170,168,167,184,184,183,184,184,183,183,183,183,182,181,166,138,140,181,175,142,95,121,176,137,148,177,173,172,171,170,169,187,186,185,186,187,186,185,185,186,185,190,192,164,130,117,169,162,121,79,137,129,82,135,185,172,174,172,171,187,187,188,189,189,189,188,189,187,180,176,180,189,163,111,111,169,142,81,111,141,87,77,183,175,176,175,173,190,190,189,190,190,191,191,192,182,169,167,119,142,161,96,75,165,141,81,89,143,105,64,177,179,177,176,174,192,192,192,192,192,192,192,192,186,182,172,118,93,139,86,68,143,108,58,112,149,112,78,185,182,180,179,178,193,193,193,193,194,194,194,194,177,132,162,136,86,117,122,66,107,92,44,120,119,71,96,195,181,183,182,180,195,194,195,195,196,195,195,194,192,132,115,164,120,97,152,75,83,112,107,113,75,33,121,199,183,185,184,182,196,196,195,196,197,195,194,197,180,113,84,152,125,143,151,128,131,130,161,127,63,37,164,193,186,187,185,183,197,196,197,197,197,197,196,199,180,152,148,116,62,163,151,138,149,134,146,117,72,63,192,190,189,188,187,184,198,197,197,198,198,198,198,198,193,176,134,93,56,89,124,112,115,111,105,104,92,61,161,199,189,189,188,186,198,198,199,199,199,199,197,196,194,163,118,80,69,66,87,99,99,93,83,117,109,78,81,197,191,190,190,189,200,200,200,199,200,201,199,196,185,143,104,76,73,94,100,133,143,137,116,125,126,116,60,138,205,188,191,189,201,202,202,202,202,202,199,193,186,155,118,85,87,95,122,165,165,181,166,137,168,140,80,77,201,192,192,190,203,203,202,203,203,203,201,191,186,159,121,81,82,105,143,177,178,190,195,174,156,138,77,70,199,194,193,191,203,204,203,203,203,204,203,184,184,170,129,91,89,107,146,186,187,196,185,167,145,109,56,109,209,193,194,192,203,203,204,204,204,205,205,179,184,179,137,106,99,102,157,192,198,196,176,153,133,90,47,166,205,195,195,194,204,204,205,205,205,205,208,179,176,180,149,114,102,109,165,199,198,187,166,143,124,70,71,204,198,197,196,195,205,205,205,206,206,205,209,184,162,169,149,118,103,115,175,196,185,176,154,127,108,52,127,212,195,198,197,196,204,204,205,206,206,205,208,199,158,169,156,122,114,121,181,185,174,163,140,112,85,53,185,207,200,198,197,197,203,204,204,205,205,205,204,208,172,168,162,137,135,117,176,174,171,148,122,100,54,98,214,199,201,199,197,196,203,203,204,205,205,204,204,209,189,163,163,151,135,108,155,163,160,134,102,76,45,177,205,197,198,197,196,196,204,203,205,205,205,206,205,208,197,169,159,144,129,109,134,143,131,104,78,39,117,215,199,200,199,199,198,196,204,205,205,206,205,206,206,209,200,176,163,142,124,112,121,132,107,79,51,57,199,205,203,202,200,199,198,196,204,207,206,206,206,206,207,210,188,178,164,147,132,125,119,126,110,76,37,127,218,201,204,202,199,199,198,198,204,204,205,205,206,205,208,206,173,177,168,159,156,141,127,117,102,66,47,175,211,203,203,202,201,199,199,190
12,147,149,151,150,150,151,152,151,152,154,153,152,153,155,154,153,154,153,153,153,154,154,152,152,152,151,151,151,150,151,152,152,153,154,155,154,154,155,155,157,156,153,156,158,156,154,154,154,156,156,154,155,154,154,153,151,152,152,154,155,155,156,156,158,156,157,156,145,154,170,146,135,154,159,157,157,157,159,157,155,155,155,155,153,153,154,156,156,157,158,156,158,155,185,171,137,116,192,164,120,109,165,157,159,162,158,159,158,158,157,157,156,155,157,159,159,159,159,160,159,163,211,191,159,98,167,195,147,79,144,155,125,142,166,160,161,161,160,159,158,157,158,160,161,161,161,162,160,168,212,206,169,109,130,208,162,110,73,148,122,79,149,166,162,163,161,160,160,159,159,161,161,162,164,165,162,173,202,209,175,125,99,199,169,134,65,115,134,60,100,176,162,166,165,164,162,159,161,162,162,163,165,166,162,176,188,198,190,140,82,166,178,135,82,59,116,69,90,178,165,167,165,165,164,161,162,165,166,166,167,166,166,168,149,177,190,167,125,105,166,123,68,24,72,66,100,179,166,168,167,167,166,163,164,166,167,169,161,170,195,140,110,134,157,168,124,61,82,85,32,57,100,51,115,180,168,170,168,168,169,163,164,167,170,165,181,208,183,110,86,93,84,123,88,54,69,108,84,132,114,51,143,176,170,171,170,169,169,165,167,167,166,180,213,191,154,110,88,52,46,67,110,100,116,156,183,157,95,50,165,180,172,173,172,171,171,165,167,169,169,202,183,158,165,133,104,55,50,55,54,66,89,141,191,197,174,111,89,165,177,173,173,172,173,167,167,167,174,201,174,145,170,144,106,66,43,64,67,64,57,146,180,198,178,138,92,83,180,174,174,173,173,168,167,165,191,198,170,130,155,159,148,106,50,68,87,76,145,188,176,169,149,140,132,72,155,181,175,175,174,168,170,169,187,211,186,147,101,155,180,124,64,64,91,143,195,188,177,162,118,124,116,73,167,180,176,176,176,169,170,170,180,210,198,170,119,105,139,170,141,67,162,203,187,179,166,150,115,95,76,90,187,177,176,177,177,169,170,171,181,211,205,178,139,134,112,124,120,142,210,202,189,172,157,136,109,78,50,131,188,179,179,178,177,170,171,172,178,203,206,190,152,149,141,100,132,204,204,203,185,157,143,116,102,65,59,172,181,179,181,180,179,169,170,170,173,194,200,200,172,156,144,137,132,198,202,199,174,139,123,104,98,53,97,191,178,180,181,180,180,169,168,171,168,182,203,204,190,167,148,150,126,182,200,183,162,123,102,107,87,44,140,188,178,180,180,180,179,169,170,172,169,166,205,206,192,171,152,145,136,164,193,163,140,109,95,111,69,58,178,182,180,179,179,179,178,170,171,172,176,164,193,193,171,160,150,145,143,148,167,147,117,101,102,98,50,109,192,179,181,180,180,180,180,169,172,173,179,167,187,183,155,148,145,146,138,140,148,136,122,98,95,74,62,172,185,181,181,180,180,180,180,169,173,173,176,171,183,180,158,157,157,150,137,134,149,145,115,81,79,50,132,191,181,183,182,182,182,182,181,171,172,174,174,171,179,186,169,167,162,154,147,130,155,137,91,71,56,82,187,180,184,182,182,182,182,182,181,168,171,174,177,174,177,195,173,175,170,157,155,120,150,118,85,69,49,151,191,183,184,184,183,182,182,182,181,100,103,104,111,108,150,205,184,181,179,163,157,116,138,111,88,56,65,169,170,173,175,178,180,181,182,181,180
3,126,129,129,129,129,129,130,130,130,130,130,130,129,128,126,125,124,117,125,121,121,120,118,117,115,113,111,110,130,131,132,132,132,132,132,133,132,132,134,133,132,131,129,129,134,79,106,129,124,122,121,121,118,117,114,113,133,135,135,135,136,136,136,136,136,136,137,137,136,135,133,133,127,63,79,138,125,126,125,124,122,120,118,115,137,138,139,138,139,139,140,141,141,140,139,139,139,139,137,136,125,61,63,138,130,129,128,126,125,123,121,119,141,141,141,142,143,143,143,144,144,143,143,142,141,141,140,140,125,57,56,141,132,132,131,130,128,126,124,121,143,144,144,144,145,146,146,146,146,146,145,145,145,144,143,142,124,64,53,140,135,134,133,132,131,129,126,124,146,147,148,148,148,149,148,149,149,149,149,148,148,146,145,146,133,70,48,139,139,136,135,134,133,131,129,127,148,149,150,151,151,151,151,151,151,151,151,151,150,149,148,147,129,58,48,144,141,139,138,136,136,134,132,130,150,152,153,153,153,153,153,152,152,151,153,153,153,152,151,146,119,72,54,135,145,141,140,139,138,136,134,132,152,152,153,155,155,155,155,155,155,155,156,156,155,154,153,148,132,97,51,121,151,143,143,142,140,139,136,133,153,154,155,155,156,157,157,157,157,157,158,157,156,155,156,149,135,96,39,110,155,144,144,144,142,140,138,135,155,156,156,156,156,157,158,158,158,158,158,159,157,158,156,153,144,97,42,84,161,143,146,145,144,142,140,137,157,157,158,158,157,158,159,160,160,159,160,160,162,155,139,128,122,119,76,102,139,156,147,146,145,143,141,138,158,158,158,159,159,160,161,161,161,161,163,162,155,147,139,94,54,104,115,141,75,126,157,148,147,145,143,140,159,159,159,161,161,162,162,162,162,164,157,141,96,108,140,93,51,64,117,116,51,27,101,156,147,146,144,142,161,160,162,162,163,164,163,163,164,157,147,133,88,61,107,118,73,47,93,101,58,32,35,144,152,147,145,144,161,161,162,163,164,164,163,165,163,150,136,113,109,90,74,125,85,40,44,69,72,39,30,133,156,148,147,145,162,162,162,163,164,164,164,165,160,142,111,74,95,97,58,92,96,44,34,53,87,51,23,124,159,149,148,146,161,162,162,163,165,166,167,168,163,141,125,73,43,77,26,55,91,33,37,51,93,82,24,102,162,149,150,147,161,162,162,164,165,166,167,167,169,145,117,92,64,46,26,51,57,18,45,88,107,96,30,105,163,150,151,148,162,162,163,163,164,165,166,166,170,144,126,122,89,53,53,72,62,52,114,121,107,65,47,151,155,151,149,146,162,163,164,164,166,167,166,167,170,151,120,121,99,71,63,85,126,132,140,108,81,33,100,165,148,149,152,154,161,161,162,164,165,166,166,166,170,159,117,119,102,77,66,73,132,131,116,88,53,33,141,161,160,160,141,107,168,168,168,169,169,170,170,171,171,173,126,100,95,77,71,68,114,116,97,67,27,84,169,142,120,88,45,25,128,132,136,140,144,148,152,155,157,162,148,95,94,87,84,65,88,99,78,38,45,112,72,41,22,16,15,20,65,67,68,69,69,73,73,74,74,72,84,116,93,91,77,56,56,56,35,23,45,34,16,12,18,13,12,10,74,74,74,75,73,73,79,77,77,74,92,137,119,94,66,52,51,50,29,29,30,23,25,9,13,7,5,5,74,74,74,75,75,75,82,79,82,78,108,125,123,101,80,70,59,48,26,27,24,20,15,15,3,4,1,4
6,192,193,193,194,194,195,195,195,195,196,196,197,197,196,197,197,196,196,197,197,197,196,196,195,195,194,193,193,193,194,194,195,195,195,196,196,196,196,196,197,198,198,198,198,198,198,198,198,198,198,197,196,196,195,194,195,194,194,195,196,196,196,197,197,197,197,197,197,198,199,199,200,199,199,200,200,200,199,198,197,197,196,196,196,194,195,196,196,197,197,198,199,199,199,199,198,199,200,200,200,199,199,199,199,197,195,193,193,194,195,197,197,195,196,196,197,198,199,199,199,199,200,200,199,198,198,197,193,191,191,193,192,188,180,171,171,179,181,193,198,196,197,197,198,199,200,199,199,198,196,195,193,189,190,189,184,183,186,194,193,184,172,161,156,162,164,188,199,196,197,198,199,200,200,199,195,188,183,182,183,184,189,188,178,170,170,173,170,161,151,146,149,157,172,195,201,195,197,198,199,199,198,195,190,181,171,166,167,168,164,157,146,137,138,145,153,159,164,172,181,189,196,201,201,195,196,197,196,195,194,192,190,179,161,141,130,123,117,117,121,131,154,178,191,196,198,200,201,202,202,201,201,195,194,193,190,189,190,191,190,184,164,129,102,91,95,116,150,177,195,202,204,203,202,202,202,202,201,200,200,192,189,188,188,188,188,191,192,183,155,120,94,86,91,118,171,198,203,204,203,202,202,202,202,202,201,200,200,187,187,187,187,187,190,194,191,170,134,108,91,86,91,99,126,171,199,204,203,203,202,202,202,202,201,201,200,188,188,187,187,188,192,193,192,179,150,114,88,85,94,96,95,114,166,201,204,204,204,204,203,203,202,201,201,192,189,188,189,191,192,194,200,194,165,121,89,82,91,102,101,96,118,183,205,205,205,205,204,203,202,202,201,191,191,189,189,191,194,195,201,191,155,115,90,85,86,92,95,95,102,168,205,206,206,205,205,204,203,202,202,192,191,189,187,188,190,190,193,182,147,109,88,86,86,83,84,89,117,177,204,205,205,205,205,204,204,203,202,192,189,186,184,182,183,186,189,183,154,112,83,82,88,92,88,90,131,166,176,179,180,182,183,185,192,200,205,189,188,186,184,182,185,189,194,190,160,113,83,75,83,97,92,90,105,113,116,118,121,126,138,163,187,205,210,187,189,188,186,186,188,190,194,184,149,106,85,80,78,86,94,97,100,101,103,109,129,151,171,192,202,210,213,187,186,183,182,180,177,175,177,159,129,102,90,86,82,85,99,110,114,123,136,161,188,200,196,191,193,198,205,181,177,173,171,165,158,155,152,135,115,102,96,91,85,89,107,136,167,185,193,200,199,195,191,185,180,185,189,167,167,162,155,148,142,139,133,119,105,99,98,97,98,115,153,193,211,211,205,196,184,177,177,178,172,169,171,144,147,144,137,129,122,116,113,109,102,101,105,118,145,182,209,214,206,201,196,182,169,164,165,170,167,161,162,110,113,113,110,105,101,100,102,103,102,110,141,181,207,217,216,207,198,193,190,172,154,155,157,160,162,158,157,87,89,94,96,96,98,100,102,102,111,151,192,212,214,210,204,194,191,191,187,164,140,144,150,151,155,153,152,90,92,97,99,98,100,101,102,112,155,196,203,203,198,199,193,183,184,189,186,159,129,131,141,145,149,149,151,96,97,99,99,99,100,102,114,157,197,199,191,191,191,193,184,173,175,184,185,159,123,119,132,140,145,149,148,98,97,98,98,99,100,114,157,196,202,191,183,186,189,190,177,165,167,179,184,160,123,113,126,137,145,151,143
0,175,175,176,174,176,176,175,177,177,177,177,180,177,177,177,174,177,177,177,178,177,177,177,179,176,175,175,175,176,175,175,175,177,179,179,181,179,178,175,177,177,177,178,177,178,176,178,180,177,178,179,179,179,176,176,176,177,177,177,178,179,181,182,179,180,182,178,180,182,181,180,181,181,179,179,180,180,179,179,178,180,176,175,175,179,179,179,180,181,182,179,178,173,151,169,183,171,178,183,177,175,184,187,183,185,181,178,180,181,178,176,176,180,182,181,181,182,182,178,186,183,110,59,123,142,117,134,165,150,120,155,174,166,180,185,181,180,181,179,178,179,182,181,183,182,182,184,179,181,114,11,55,155,93,35,118,149,67,35,110,96,78,119,178,182,178,181,180,181,183,182,182,181,179,177,140,162,129,55,36,130,81,19,85,119,53,10,89,91,31,21,96,181,181,180,181,183,184,183,184,182,175,166,129,116,153,103,18,81,83,8,74,105,38,12,103,88,29,28,74,104,195,180,181,183,184,184,185,184,177,166,137,90,101,97,8,63,80,0,58,125,54,5,110,110,35,37,116,56,128,195,181,183,185,185,186,186,177,163,136,93,61,52,17,68,61,0,69,124,36,16,130,123,93,76,87,69,39,184,185,185,185,185,186,185,175,166,155,126,71,44,35,50,35,0,54,88,49,118,140,121,108,78,51,37,29,176,186,185,186,188,188,186,178,174,162,148,116,57,34,27,40,60,57,92,142,155,142,129,97,74,58,26,46,189,185,187,188,189,189,188,180,180,167,158,146,102,41,36,49,59,92,148,160,158,150,131,92,63,52,17,75,203,184,187,187,189,189,188,175,187,177,169,163,135,82,73,63,69,126,157,163,171,157,124,87,58,47,11,128,202,184,188,187,188,189,190,163,184,187,178,173,153,121,109,93,81,128,144,165,176,158,117,81,57,34,39,180,191,186,189,189,189,188,193,165,168,192,191,183,162,143,131,117,101,115,151,172,167,150,105,68,62,23,104,200,186,189,188,190,191,189,194,176,150,188,196,189,172,156,142,132,120,111,134,164,161,138,96,61,57,20,161,198,187,190,189,190,191,189,188,194,139,171,193,194,181,164,153,143,124,111,118,143,143,114,79,58,35,46,193,190,189,189,190,191,193,191,189,200,156,144,190,195,183,157,153,140,123,113,113,128,127,88,63,52,10,112,205,186,190,191,191,191,191,193,195,192,187,133,185,193,170,145,152,134,126,116,97,104,111,77,59,27,48,189,193,189,191,192,192,192,192,194,194,192,192,152,187,192,173,158,167,148,130,112,85,86,93,74,45,21,155,200,192,194,193,193,192,193,192,194,193,192,194,159,188,197,185,165,178,155,127,112,85,76,82,74,21,94,203,189,194,197,194,193,192,193,192,193,193,193,196,150,179,197,191,171,175,150,125,107,88,73,76,69,14,150,200,190,194,197,194,194,193,192,192,193,193,195,198,149,175,198,192,173,163,146,122,105,92,72,68,56,26,176,194,192,194,195,194,194,191,192,192,192,193,194,192,166,182,195,190,175,160,144,126,105,92,75,60,45,40,197,194,193,194,193,194,194,190,192,193,193,194,195,182,173,192,180,184,171,157,142,126,104,89,73,55,40,57,202,191,194,194,194,194,194,191,192,194,195,193,195,179,171,182,179,183,161,146,138,124,103,84,65,52,31,84,198,186,194,194,194,194,194,191,192,194,194,192,196,176,165,178,183,181,160,137,127,120,101,78,53,46,21,120,194,188,195,194,195,194,194
23,159,163,166,169,173,176,178,181,183,185,186,189,189,190,190,193,193,193,197,197,198,200,201,201,200,201,202,202,159,164,168,171,175,177,179,181,183,186,187,188,190,192,193,195,195,196,199,202,200,201,201,201,203,201,202,204,161,165,168,171,176,178,179,182,184,186,187,189,193,193,191,194,188,193,197,175,196,203,203,204,204,203,205,204,162,165,169,173,177,179,180,183,185,186,189,191,191,191,200,201,185,175,152,112,197,205,204,207,205,205,207,206,164,167,170,174,178,180,181,185,186,189,191,189,193,202,207,184,132,131,123,170,208,203,205,207,206,207,207,206,164,168,171,175,178,179,182,186,186,191,189,198,213,191,179,125,131,180,202,210,205,206,208,207,208,209,208,209,164,169,172,175,179,180,183,187,188,191,186,213,218,157,114,152,207,148,180,209,204,208,210,208,210,209,209,210,165,168,173,176,179,182,183,186,189,192,188,216,222,167,179,232,194,144,146,218,208,208,210,209,210,210,211,212,164,170,174,177,180,182,183,187,189,193,192,222,216,214,230,203,176,186,160,179,192,209,209,210,210,212,212,212,165,170,174,178,180,182,185,189,191,193,195,219,210,218,207,205,207,196,158,106,117,194,214,211,212,213,212,213,167,172,175,179,181,183,186,191,192,192,198,204,199,203,206,200,192,184,139,92,82,148,225,212,212,213,213,213,167,172,176,179,182,183,185,190,190,203,207,193,189,200,198,192,189,170,126,94,87,101,165,218,212,212,213,212,166,171,176,179,182,184,186,189,194,232,215,196,202,190,182,171,148,150,130,95,81,104,102,173,221,212,213,212,166,171,177,180,183,184,187,191,191,226,227,212,205,173,142,98,98,165,129,92,72,105,105,165,223,213,214,214,167,172,177,179,183,186,187,192,192,218,223,206,189,174,142,84,103,168,124,89,88,112,118,208,217,214,215,215,168,173,177,181,184,185,187,191,192,219,224,197,213,170,98,74,130,119,80,79,114,116,154,223,214,217,216,217,167,173,178,182,184,185,188,191,191,218,218,208,204,158,103,61,79,56,70,91,122,121,203,218,215,216,216,216,169,172,178,180,183,185,189,193,193,218,215,215,201,157,117,52,52,77,105,115,112,150,223,214,216,216,216,216,169,175,178,180,184,186,189,193,194,220,215,217,200,155,124,71,72,108,125,130,111,191,222,216,217,217,216,216,171,174,178,182,185,187,190,192,196,220,217,215,193,155,126,79,88,119,129,120,142,223,214,218,218,217,217,217,171,174,179,183,185,187,190,192,197,221,214,206,186,151,124,86,94,125,130,111,175,226,215,218,219,219,218,218,170,174,179,184,184,188,192,192,201,221,204,196,180,149,125,101,97,126,124,112,205,219,217,218,218,219,218,219,170,174,179,184,185,187,191,192,202,219,200,192,175,151,132,109,101,123,112,143,225,216,218,219,219,220,220,221,171,175,179,184,186,187,193,192,206,219,202,196,176,156,138,114,104,113,111,201,220,218,219,220,221,222,221,221,170,175,180,184,185,187,194,191,211,221,202,192,176,162,135,114,107,100,171,223,216,219,219,220,221,222,222,221,170,175,180,184,187,190,192,194,219,213,199,186,173,157,122,115,101,163,223,216,219,218,219,220,221,222,222,222,171,176,180,185,187,192,189,209,222,207,196,176,157,140,122,105,142,224,216,218,218,219,219,220,221,222,222,222,171,176,181,184,186,190,188,217,213,206,191,170,148,139,121,103,200,221,217,219,219,219,221,221,221,223,222,222
24,166,167,169,169,169,170,172,172,172,172,173,173,172,172,172,171,170,169,168,166,166,165,164,162,161,159,158,157,170,171,172,173,174,175,175,175,176,176,176,175,175,175,175,174,174,173,172,170,170,168,165,167,166,162,162,161,173,174,175,176,178,177,178,180,180,179,180,178,177,179,179,177,177,176,175,174,173,172,169,157,159,169,166,164,176,177,179,179,181,182,183,183,182,182,181,181,182,181,181,181,180,180,178,177,175,174,177,147,98,170,168,166,179,181,182,183,183,183,183,183,184,186,186,184,184,183,182,183,182,182,181,180,179,175,184,151,80,163,172,169,181,183,183,184,185,187,187,187,189,184,181,190,185,185,186,185,185,183,183,182,182,178,190,150,82,166,176,172,184,185,186,186,189,190,190,189,192,178,111,172,195,189,191,190,189,188,186,184,185,182,195,137,88,176,177,175,187,189,190,191,192,191,191,192,196,168,102,112,201,191,194,193,192,190,190,189,186,188,200,134,98,186,178,177,190,191,193,193,193,193,194,193,198,182,132,82,186,197,193,195,195,193,191,191,185,196,190,115,109,192,180,179,193,194,194,194,196,197,197,197,197,195,155,79,155,206,193,196,197,197,192,194,193,211,175,86,126,196,181,183,195,195,198,198,198,198,198,198,198,201,173,100,113,211,196,200,197,192,201,190,145,154,177,80,158,194,185,185,197,198,199,200,199,199,200,200,199,202,186,134,81,194,205,198,170,137,158,172,125,68,113,94,185,192,189,187,199,200,200,201,202,202,202,203,202,204,195,149,72,146,217,182,172,153,129,124,121,119,70,92,199,191,191,189,200,201,203,203,204,204,205,205,205,205,201,164,114,102,210,171,184,151,143,136,146,152,57,109,209,190,191,191,202,204,204,205,206,207,207,206,206,206,207,185,155,79,143,139,186,170,127,132,134,132,73,115,210,192,193,191,204,205,206,207,206,207,208,208,207,207,210,199,158,111,117,122,158,187,109,54,109,164,106,75,202,197,196,194,204,205,207,208,209,208,209,209,209,210,213,203,184,176,123,92,116,172,100,38,77,168,135,65,144,209,194,195,207,208,210,211,211,211,211,211,212,212,213,204,195,173,101,68,103,149,80,37,105,187,177,103,70,202,198,197,209,210,212,213,213,213,213,214,214,214,214,211,196,161,127,108,110,147,99,66,189,195,171,109,61,191,201,198,210,212,213,214,214,215,215,215,216,216,216,216,198,185,171,123,106,148,103,152,208,180,155,80,71,204,199,199,210,212,214,215,215,216,217,217,216,216,216,218,196,187,189,135,119,92,140,211,204,166,141,70,92,216,199,200,208,210,213,213,214,216,215,215,216,216,216,219,199,180,191,157,134,89,187,207,192,162,130,64,117,218,200,200,210,211,213,214,215,216,215,215,216,217,217,220,203,178,174,165,147,96,166,202,182,150,118,51,136,216,199,199,212,212,213,215,216,216,216,217,218,218,218,221,209,173,174,172,164,116,149,204,180,137,97,45,171,214,202,201,212,213,214,215,216,217,218,218,218,219,221,220,219,185,179,169,174,134,118,189,160,114,66,59,207,205,204,203,221,221,221,221,222,223,223,223,222,222,224,222,226,198,185,177,172,137,96,152,128,88,36,95,221,202,202,205,170,174,180,184,189,193,196,201,204,207,212,213,218,201,188,174,156,131,106,111,124,77,37,175,221,211,212,200,97,96,95,97,98,100,103,107,108,110,113,116,111,159,199,169,157,152,124,110,128,64,55,154,158,156,138,94
6,155,155,155,155,156,155,156,155,154,155,155,154,153,153,150,150,149,148,147,147,145,143,142,142,140,139,137,134,159,159,159,160,159,159,159,158,158,158,158,156,155,153,152,152,151,150,149,148,148,146,144,143,142,141,140,137,160,161,161,160,161,162,162,161,160,160,161,159,158,157,156,154,154,152,152,151,150,148,147,145,145,143,141,140,162,163,162,162,163,162,163,163,162,162,163,161,160,160,159,157,156,155,154,152,151,151,149,148,147,146,143,141,165,165,165,165,165,166,166,165,165,164,164,165,163,162,161,160,159,157,156,155,154,153,152,150,149,148,146,144,166,166,167,166,166,167,167,166,166,167,166,165,165,164,162,162,161,160,159,157,156,154,154,153,151,149,148,147,167,167,169,168,168,168,169,168,168,169,168,167,166,166,165,163,162,161,161,159,158,156,155,154,153,151,149,147,169,169,170,170,171,171,171,170,170,171,170,169,169,167,165,165,164,164,165,164,163,160,159,159,156,152,152,150,171,170,171,171,172,172,172,172,172,172,172,173,172,173,171,170,168,162,156,150,144,145,142,131,132,142,138,151,172,171,171,171,172,173,173,173,176,175,170,164,158,156,148,138,131,129,111,106,114,120,113,105,137,169,129,135,172,173,173,173,173,173,174,176,165,141,123,121,117,122,123,120,116,115,107,103,118,103,104,100,100,114,104,142,174,175,174,175,173,176,172,156,141,129,110,112,118,121,127,121,114,90,86,75,72,75,89,92,98,119,143,157,176,176,176,176,179,164,144,140,139,124,95,77,87,87,79,79,80,75,84,110,136,150,158,162,167,167,162,157,176,176,178,180,158,135,138,138,133,121,104,70,49,29,114,163,169,168,171,177,175,171,168,166,162,161,160,160,177,178,180,158,133,137,141,139,141,141,129,86,46,39,65,99,129,170,174,170,170,168,167,167,166,164,162,161,180,177,156,141,143,146,148,147,145,144,106,56,41,44,40,35,28,67,175,173,172,171,169,168,167,165,163,162,166,143,139,149,149,147,150,137,135,130,74,42,36,39,46,50,50,30,129,182,171,172,171,169,167,166,164,161,139,140,150,152,148,148,140,128,134,131,107,83,42,26,36,40,44,21,83,184,172,172,172,169,168,167,165,163,143,145,149,152,153,146,131,132,137,137,141,109,55,36,37,30,37,89,159,176,172,172,172,170,168,167,166,164,145,146,152,155,147,134,128,130,128,129,125,82,42,38,40,37,44,181,182,174,175,173,172,171,169,168,166,165,146,148,150,144,135,130,129,127,120,113,106,72,33,27,37,31,52,174,176,175,175,173,172,170,168,168,167,165,147,144,133,128,134,131,125,119,107,105,114,102,52,29,31,42,158,180,174,173,173,172,171,170,167,164,164,164,136,127,123,129,125,114,105,100,104,115,128,116,58,41,40,43,176,178,175,173,172,171,171,168,171,174,170,162,129,127,127,119,108,100,102,106,110,111,114,82,43,33,23,79,181,175,175,174,177,175,175,178,158,131,100,69,124,122,114,105,104,104,102,91,83,77,64,33,47,79,109,177,179,184,185,178,162,162,160,137,68,42,29,33,111,100,80,82,96,98,89,70,53,44,50,101,174,190,192,185,182,136,112,82,51,57,49,40,31,43,32,24,72,55,36,47,66,67,59,48,52,87,130,158,161,158,160,163,117,53,50,32,17,32,21,26,25,23,32,13,52,31,42,70,75,72,70,70,79,84,83,78,76,78,77,64,46,44,36,39,13,23,22,18,20,18,21,14
1,156,157,160,161,162,164,164,164,164,164,164,164,163,164,163,162,159,160,159,158,157,156,155,153,152,151,149,149,157,159,161,163,164,165,165,165,166,165,166,166,165,166,165,165,155,134,157,160,158,157,156,155,154,152,151,150,159,161,164,165,166,168,168,168,168,167,168,168,167,167,166,172,156,97,140,152,159,159,158,157,156,155,153,152,161,163,165,167,168,170,171,171,171,170,171,170,169,171,155,155,152,103,138,115,148,162,161,159,158,157,155,154,164,165,167,169,170,172,173,173,173,173,173,173,172,178,141,126,140,105,146,108,136,166,164,162,161,159,157,157,165,167,170,172,172,174,175,174,175,175,175,175,175,181,130,124,141,107,144,106,125,169,166,164,163,161,160,159,167,169,171,174,174,175,176,177,177,177,177,175,167,177,118,121,139,106,142,108,119,170,169,167,165,164,163,161,169,171,173,176,177,178,179,179,180,180,180,175,137,165,113,118,137,105,141,115,118,171,171,170,168,167,165,164,171,173,176,178,179,179,180,180,181,181,186,162,117,153,107,131,140,105,137,116,118,173,172,171,170,168,167,166,173,175,177,179,180,181,182,182,182,183,189,146,109,142,105,154,145,108,151,129,117,175,174,173,172,170,169,167,174,176,180,181,181,182,184,186,185,185,190,136,115,151,108,150,130,106,164,136,121,177,176,175,173,172,170,170,175,178,181,184,184,186,186,187,187,191,188,119,121,144,95,127,108,103,162,128,124,179,178,177,175,173,172,171,177,180,182,185,187,188,187,188,188,197,185,124,146,129,104,128,119,135,159,122,125,180,179,179,177,175,174,172,179,181,183,186,188,189,189,189,189,203,174,122,159,154,146,141,132,150,146,117,126,182,180,180,180,178,176,174,180,182,185,187,189,190,191,191,191,204,175,150,136,159,173,172,144,123,121,108,125,184,183,182,181,178,177,175,181,184,186,188,189,191,192,192,196,202,177,149,114,132,144,169,169,148,116,93,121,186,186,184,182,180,179,177,182,185,187,188,189,192,193,192,202,199,159,132,120,124,133,164,179,171,149,109,117,187,187,186,183,182,181,179,183,187,189,190,191,193,194,194,209,201,152,134,136,133,155,176,180,184,161,134,109,173,189,187,185,182,180,180,185,187,190,191,193,195,195,195,211,203,158,140,141,144,178,199,188,176,154,133,103,162,190,188,186,184,182,181,185,188,190,192,194,195,195,195,209,208,173,150,140,154,197,209,188,162,135,116,100,161,191,188,187,186,184,181,185,188,192,194,195,197,196,196,207,215,188,157,145,152,207,215,181,146,121,100,99,162,193,189,187,187,184,182,186,189,192,194,196,198,198,198,204,213,189,161,150,145,204,202,169,136,113,97,106,177,193,191,189,187,186,184,187,189,192,195,196,197,199,199,201,207,187,170,153,152,194,184,156,128,108,97,122,189,193,192,190,188,187,185,188,189,193,195,197,198,199,200,200,202,195,186,163,170,186,167,142,119,104,101,155,195,194,193,191,188,187,186,188,191,193,195,197,199,199,200,199,199,197,187,160,156,165,152,128,111,100,113,183,195,195,193,191,189,188,187,189,191,194,196,198,199,200,201,202,200,191,174,152,141,145,141,124,109,100,132,195,196,195,194,192,189,188,188,189,191,193,196,198,199,200,200,201,200,186,163,151,149,145,141,134,109,99,156,198,197,195,193,192,190,189,188,188,190,192,195,197,198,199,199,199,198,193,174,171,164,149,137,133,104,98,173,197,195,194,193,191,189,188,187
7,198,201,202,203,205,206,207,208,209,210,210,210,209,209,209,209,210,211,210,210,210,208,207,207,206,203,201,200,200,201,203,205,207,208,209,211,210,211,212,212,211,212,212,213,212,213,212,212,212,211,210,208,207,206,204,203,200,203,205,207,208,210,212,213,213,213,213,214,214,215,215,215,215,214,213,214,214,213,212,210,209,208,207,205,202,206,208,209,210,212,213,214,215,215,215,216,216,217,216,216,216,216,216,215,216,214,213,212,211,211,209,208,205,208,210,212,213,214,215,216,216,217,217,217,216,219,218,217,218,218,217,217,217,216,215,214,213,213,212,209,206,209,211,213,214,216,217,218,218,219,219,218,218,220,220,220,220,219,219,219,218,218,217,215,215,215,214,211,208,211,213,215,215,217,219,220,220,220,221,221,221,221,222,222,222,221,221,222,221,220,219,218,217,216,216,215,209,211,214,215,217,218,219,221,221,224,222,221,223,223,222,223,223,223,223,223,222,221,221,218,217,217,216,215,210,212,214,216,217,219,220,225,231,232,209,187,201,214,217,214,217,221,218,219,216,218,212,222,229,215,217,215,212,214,215,218,221,228,231,231,234,233,223,184,168,191,203,203,205,199,197,203,202,209,199,217,208,207,220,217,213,217,226,232,234,233,230,227,222,218,213,179,158,172,188,196,197,194,192,190,185,192,182,179,176,209,217,217,229,235,234,233,231,225,219,210,205,212,219,191,158,149,155,168,182,191,186,184,191,190,185,193,193,196,211,205,244,238,231,225,218,213,209,206,209,217,221,195,161,158,160,154,151,144,155,165,167,173,168,171,179,178,179,199,241,234,225,214,205,200,199,201,206,216,205,178,156,154,166,173,165,146,164,219,214,208,205,204,202,205,212,225,235,231,225,212,203,200,201,197,195,207,211,184,147,135,153,163,165,160,148,227,234,233,233,232,231,230,229,227,230,228,225,217,211,206,206,205,202,209,219,193,162,161,165,155,154,138,175,238,233,233,233,231,230,229,228,228,225,222,219,218,216,210,207,204,204,208,211,192,170,173,174,165,161,148,227,236,234,235,233,233,232,230,231,230,207,204,208,215,217,214,207,201,199,197,184,171,156,151,158,161,144,195,242,234,234,235,234,234,233,233,232,231,122,132,159,193,212,208,195,187,179,169,161,151,115,97,115,145,147,228,238,235,235,235,234,232,232,232,233,206,66,64,72,96,140,171,164,169,177,193,217,225,152,114,133,153,202,240,238,237,236,235,233,235,237,237,198,136,64,59,56,54,56,72,185,230,236,239,239,242,223,186,208,227,240,239,238,237,236,236,240,225,190,168,130,110,58,53,51,50,41,92,243,237,237,237,237,238,239,240,240,239,238,239,239,238,240,236,201,147,128,118,107,94,52,50,47,46,37,96,244,237,237,238,239,239,238,238,238,239,240,240,240,241,235,163,108,103,116,106,99,94,50,51,49,46,30,89,245,238,239,239,240,241,242,241,241,242,242,242,244,240,188,125,93,77,95,94,89,91,57,60,55,43,21,79,227,223,226,228,229,231,232,233,234,236,236,238,233,163,111,126,93,68,74,88,83,84,67,62,48,27,24,55,145,145,147,149,151,154,157,158,160,162,161,167,163,116,89,120,91,61,64,75,76,77,74,55,33,24,28,71,135,130,129,131,130,131,132,132,132,130,130,146,142,103,82,113,86,59,61,67,70,72,67,39,28,31,30,96,144,139,139,141,140,139,139,138,138,137,140,129,114,98,80,106,79,61,58,63,66,68
7,190,191,190,191,191,191,191,191,190,190,190,188,187,187,186,186,185,184,183,181,179,178,178,175,174,173,171,169,192,192,192,192,192,193,193,192,191,191,192,191,190,189,188,187,186,184,185,183,181,180,179,177,176,174,173,170,193,192,194,193,194,194,194,195,193,193,194,192,192,191,190,188,188,187,186,185,183,182,179,179,179,176,175,173,194,194,195,195,195,195,195,196,195,195,194,194,193,192,191,190,190,188,187,186,187,186,184,184,181,179,177,175,195,196,196,197,197,196,196,196,197,197,195,193,194,192,193,194,194,193,191,186,182,174,169,168,173,182,179,177,197,197,198,197,197,197,197,197,197,199,199,199,200,196,193,181,167,159,150,155,143,125,148,171,145,174,182,178,199,198,198,199,198,198,199,202,201,195,190,181,168,156,144,143,128,119,132,126,122,119,134,145,128,179,184,179,199,199,199,199,199,201,196,177,158,147,140,142,140,136,135,131,120,108,112,102,104,99,85,104,138,154,175,183,201,200,200,201,203,190,167,150,127,128,137,132,133,128,126,112,110,116,107,104,109,103,101,97,87,99,123,180,200,199,202,201,181,166,167,151,120,112,108,105,109,114,123,130,136,137,110,93,112,102,92,87,75,96,98,172,199,203,196,171,163,167,162,150,137,124,122,127,137,143,140,140,131,123,99,79,83,74,72,79,82,95,136,185,204,196,167,160,164,163,156,156,152,142,140,135,137,132,121,115,103,92,78,86,114,137,156,169,180,186,189,185,198,167,161,163,165,158,163,160,145,114,96,103,105,94,87,112,123,139,161,185,200,201,198,195,193,189,186,185,171,167,167,167,164,164,160,144,126,83,77,83,73,68,60,118,205,208,205,201,195,193,192,192,191,190,187,186,167,171,169,166,166,158,138,133,113,85,75,63,61,61,63,43,132,209,196,197,196,195,193,193,191,190,187,186,169,169,167,169,161,144,135,129,124,126,107,69,62,65,56,66,165,202,197,197,195,194,192,191,189,187,189,188,164,167,173,169,152,134,127,123,131,140,107,66,63,59,67,164,209,198,198,197,197,194,191,192,194,195,179,118,165,171,169,154,129,116,116,114,118,111,77,59,58,42,116,217,197,200,198,197,195,198,201,191,167,128,87,67,166,165,151,130,121,121,120,109,103,92,77,64,63,46,112,210,197,203,203,202,206,178,137,104,76,63,61,66,160,146,130,129,128,124,117,95,83,91,94,73,55,87,196,211,206,187,179,177,148,92,70,60,64,64,64,65,139,129,130,125,114,99,85,80,88,103,92,61,75,168,179,161,125,83,78,73,66,63,74,64,53,59,63,66,131,132,121,102,92,89,88,90,90,82,66,82,102,96,86,84,56,53,65,52,64,57,57,62,43,51,59,64,132,126,109,101,102,99,91,81,74,71,100,111,91,80,75,72,67,43,60,51,53,51,51,52,40,46,55,62,120,102,92,92,89,85,77,75,89,110,113,90,76,70,65,59,58,45,45,53,45,48,49,45,35,41,54,59,84,66,75,80,85,87,94,108,118,109,74,70,67,63,54,58,53,49,35,49,42,44,47,40,36,44,52,58,57,89,114,115,121,118,115,115,109,85,65,53,60,61,50,53,49,49,31,39,44,41,48,37,37,45,50,55,70,117,118,116,121,114,112,109,91,59,56,51,49,58,45,47,41,45,34,33,43,41,47,34,40,45,50,54,82,118,118,115,116,115,109,95,68,43,57,53,41,55,40,45,36,43,41,28,40,42,44,36,44,44,52,51
0,193,195,196,195,196,198,198,198,198,197,197,196,196,197,197,198,198,196,197,198,197,198,198,197,196,197,197,196,195,197,197,196,197,198,199,199,199,197,197,198,199,199,197,197,199,202,198,200,200,199,199,198,198,199,198,198,197,198,199,199,198,198,199,199,199,199,199,198,200,199,208,196,162,172,205,194,195,204,203,201,200,198,199,199,198,198,199,200,202,200,199,200,200,199,202,202,175,165,212,192,161,136,139,156,146,181,198,159,188,203,199,199,198,199,199,200,202,201,200,201,202,203,225,212,176,143,179,198,172,160,96,139,147,127,175,134,168,210,199,201,198,200,200,200,200,202,201,207,189,176,225,209,185,157,172,217,176,166,110,158,159,130,149,140,160,212,201,203,199,200,201,202,202,202,204,230,189,146,184,224,191,164,160,228,190,171,115,172,163,124,122,142,138,215,201,203,200,201,202,202,204,199,217,225,196,171,163,229,199,165,148,227,194,168,111,175,161,112,110,154,103,198,207,203,202,202,202,203,201,216,213,211,207,183,145,211,206,160,132,220,195,156,97,143,148,105,100,161,96,145,215,203,202,203,203,203,204,219,186,203,217,188,137,185,212,158,114,189,186,143,90,118,135,97,102,164,106,123,214,205,203,203,205,201,213,213,175,184,212,186,137,157,203,153,104,155,173,135,97,105,125,86,115,173,119,126,215,206,203,204,205,203,213,208,181,172,193,170,128,130,184,145,100,122,166,131,94,105,127,94,158,186,129,128,216,208,201,202,202,206,215,197,171,144,177,165,124,111,174,144,92,100,164,130,86,122,134,111,188,182,130,135,217,207,200,202,202,202,226,213,181,136,149,168,115,101,167,147,91,95,170,129,137,188,162,128,179,187,131,143,216,206,202,204,203,204,224,214,185,149,114,146,138,98,169,164,100,103,168,170,187,186,170,143,138,175,124,148,218,206,204,205,204,206,227,218,195,167,132,121,145,116,163,173,151,182,195,193,184,173,155,142,124,127,107,143,219,206,204,205,205,206,228,224,202,177,163,153,146,163,179,189,204,206,204,196,182,168,147,130,124,108,93,138,220,206,203,204,204,207,224,224,208,191,179,170,160,160,181,194,204,203,204,198,178,163,146,125,114,109,88,159,219,208,203,203,204,206,220,220,214,202,194,177,167,164,174,191,202,203,199,192,173,158,141,122,111,96,124,207,213,211,207,208,209,203,216,220,221,213,198,180,168,166,175,196,204,204,193,186,170,155,137,119,99,111,201,211,210,211,172,175,181,174,201,221,225,216,198,184,170,165,174,199,206,199,188,180,166,147,128,111,97,188,220,213,217,216,109,111,116,103,153,224,216,210,199,187,176,164,173,196,196,185,173,166,154,136,119,104,117,173,174,177,174,173,116,116,117,107,125,220,206,199,199,192,181,163,170,193,189,174,157,145,135,126,110,108,113,110,106,104,124,157,115,116,118,114,118,214,197,194,201,194,179,163,165,191,186,166,138,121,116,109,109,117,112,111,137,180,217,216,114,115,114,116,117,207,196,195,202,190,178,169,163,185,180,155,120,107,103,109,116,120,146,187,222,222,210,196,114,115,114,117,112,208,209,198,200,185,174,171,159,168,169,140,108,102,103,108,129,196,230,238,226,219,213,194,115,114,114,116,109,206,216,205,198,184,174,177,156,159,163,132,103,98,101,153,220,236,234,229,219,225,229,215,116,115,116,116,110,196,214,211,198,183,175,177,154,152,159,129,101,86,156,227,226,227,231,218,213,221,231,232
6,192,193,193,194,194,195,194,194,195,196,196,197,197,196,197,197,195,196,197,197,197,196,195,195,194,193,193,193,193,194,194,195,196,195,196,196,196,196,196,197,198,198,198,199,198,198,198,198,198,198,197,196,196,195,194,195,194,194,195,196,196,196,197,197,197,196,196,197,198,199,199,200,199,199,200,200,200,199,198,197,197,196,195,196,194,195,195,196,197,197,198,199,199,199,199,198,199,200,201,201,201,200,199,200,199,197,196,197,195,196,197,197,195,196,196,197,199,199,199,199,199,200,201,200,200,199,198,194,190,191,191,191,186,179,167,167,181,179,195,199,196,197,197,198,199,199,199,200,199,198,196,194,188,187,188,182,183,187,198,197,186,176,163,155,165,156,190,200,196,197,198,199,200,201,200,195,187,181,182,183,184,193,193,181,172,173,176,171,159,146,138,141,150,167,198,201,195,196,198,200,200,198,195,189,180,170,167,170,172,168,160,145,134,131,134,145,153,161,173,185,193,199,202,201,196,197,198,196,195,194,192,191,179,160,139,128,122,112,111,114,121,151,183,197,201,203,203,203,202,202,201,201,195,194,193,190,188,189,191,191,186,167,127,97,86,91,115,151,182,201,204,205,203,202,202,203,202,201,200,200,193,189,187,187,189,188,191,193,188,158,120,91,84,90,116,187,204,204,204,203,202,201,202,202,202,201,200,200,186,186,187,187,186,190,196,194,168,127,106,90,85,91,94,119,180,205,204,203,203,202,202,202,202,201,201,200,188,188,186,187,188,192,193,193,180,151,112,85,83,96,95,89,102,172,206,204,203,203,204,204,203,202,201,201,193,190,187,189,192,192,193,202,199,170,122,86,79,92,106,103,92,105,192,206,205,206,205,204,203,202,202,201,191,191,190,188,191,195,195,204,194,155,114,88,84,85,91,97,96,89,170,208,206,206,205,205,204,203,202,202,192,191,189,188,189,191,190,194,184,145,106,87,86,87,80,81,87,109,186,208,207,207,207,207,206,205,203,202,193,189,185,183,180,182,185,189,185,155,111,79,82,90,92,89,84,141,177,182,185,187,188,188,188,191,200,205,190,187,186,184,182,184,188,194,195,165,112,80,72,81,104,92,86,102,106,109,111,112,113,123,154,184,208,210,187,190,189,186,186,190,192,198,190,152,101,84,81,75,84,94,96,100,99,99,99,122,149,176,200,205,213,216,188,188,184,182,181,177,175,180,160,127,100,89,86,82,83,100,112,108,116,130,162,198,210,198,189,193,197,206,182,176,172,172,165,157,154,154,135,114,101,96,92,83,86,101,128,170,193,200,207,200,195,193,185,178,186,191,168,169,163,156,148,142,140,135,119,103,98,98,96,92,106,150,203,219,215,207,197,183,175,176,179,172,166,169,145,149,146,137,130,123,114,112,110,102,101,101,109,140,189,219,217,206,201,196,182,167,164,164,171,167,159,162,108,112,113,110,102,98,98,100,102,102,102,137,188,218,223,219,208,197,192,193,171,151,156,157,160,163,158,157,83,85,91,93,94,98,101,102,102,102,149,201,219,217,211,203,193,191,191,189,164,135,145,151,149,157,153,151,90,92,99,101,98,100,101,101,102,155,208,204,205,195,199,193,181,184,190,189,160,124,131,143,145,150,148,152,97,97,99,99,98,100,100,103,159,208,199,190,190,190,195,183,171,174,186,187,160,118,116,133,139,144,150,147,98,97,98,98,99,98,112,166,206,202,190,180,186,189,192,176,163,164,179,188,162,120,110,125,138,145,153,141
4,186,187,187,188,188,188,188,188,188,187,187,188,187,187,187,186,184,183,183,182,181,180,178,177,176,175,174,173,189,189,190,190,190,190,190,190,190,189,189,189,190,189,188,186,182,181,184,184,183,181,180,179,178,177,176,175,193,193,193,193,193,193,192,192,192,192,191,187,183,186,189,181,161,153,172,185,182,181,182,182,181,180,179,178,195,195,195,195,195,195,194,194,194,194,192,181,163,161,177,179,154,126,138,168,158,157,176,184,183,182,181,180,197,197,197,197,198,197,197,197,196,196,197,193,174,151,145,165,164,132,111,139,138,117,145,183,185,185,183,182,199,199,199,200,200,200,199,199,197,191,188,184,183,163,129,133,163,143,106,121,137,107,112,175,187,187,186,184,201,201,201,201,202,202,202,201,194,185,174,149,152,155,114,107,153,140,100,111,139,114,103,171,189,188,187,186,203,203,203,203,203,203,204,202,194,184,172,136,120,135,107,95,133,117,87,117,141,116,111,177,192,191,190,189,204,204,205,205,205,205,205,203,187,160,161,143,115,124,122,94,110,103,84,117,119,94,120,186,195,194,193,192,206,206,206,206,207,206,206,205,190,148,137,154,131,126,140,105,106,118,118,118,89,71,133,193,197,196,195,193,207,207,207,207,208,207,206,205,185,139,122,144,133,147,154,137,136,141,151,128,82,75,157,197,198,198,196,195,208,208,208,208,208,208,208,206,190,163,144,123,102,144,154,146,148,144,145,123,88,92,173,200,200,199,198,196,209,209,209,209,209,209,209,208,199,178,143,105,81,105,127,126,127,123,119,115,100,94,156,199,202,200,199,198,210,210,210,210,210,210,209,207,199,170,129,95,80,87,104,115,118,113,108,121,116,98,116,183,202,201,201,200,211,211,211,211,212,212,210,206,193,159,120,92,87,99,115,139,148,145,134,136,137,119,97,147,200,203,202,201,213,213,213,213,213,213,210,204,193,164,127,98,95,108,134,166,176,182,172,159,162,139,98,114,191,204,203,202,214,214,214,214,214,214,211,202,193,169,132,100,97,116,150,181,190,199,196,179,164,137,94,108,190,206,204,203,215,215,215,215,215,215,211,199,193,176,140,108,103,120,157,190,200,203,195,176,153,118,86,129,199,207,205,204,215,215,215,215,216,216,212,196,192,183,150,119,110,122,164,198,206,203,186,165,139,101,87,161,207,208,206,205,216,216,216,216,217,217,214,195,188,183,157,127,115,127,172,203,205,196,176,153,127,90,106,189,209,209,207,206,216,216,217,217,217,217,215,197,180,177,159,131,119,134,178,200,196,185,164,138,112,86,139,205,210,209,208,207,215,216,216,217,217,217,217,205,180,176,163,138,128,139,181,193,186,172,149,122,94,94,175,212,212,210,208,208,215,215,216,216,216,216,217,212,188,178,169,150,140,139,175,184,177,158,132,105,82,124,200,212,211,210,208,208,215,215,216,216,216,216,217,216,198,179,171,158,142,132,159,170,164,141,111,86,90,168,209,211,210,209,208,207,216,215,216,217,217,217,217,217,205,183,170,155,139,127,143,151,139,114,87,75,132,202,213,212,210,210,209,208,216,216,217,217,217,217,218,218,207,188,172,154,138,128,133,138,120,92,70,94,181,213,214,213,211,210,209,208,216,217,217,217,217,217,219,217,201,188,175,159,146,136,132,132,115,85,70,135,207,216,215,213,211,210,209,208,216,216,217,217,217,217,219,213,192,186,178,168,160,148,136,127,110,80,79,163,214,216,215,214,212,211,209,203
6,106,109,113,114,117,121,123,125,128,131,132,133,135,135,136,139,139,139,138,137,138,139,140,142,142,142,141,140,108,111,112,114,116,121,124,127,129,131,131,133,135,134,137,140,139,139,141,140,139,140,141,140,141,142,141,141,110,110,112,115,119,122,124,126,128,129,132,133,137,137,137,138,138,137,139,140,138,140,139,139,141,142,142,141,110,111,113,117,121,123,124,129,130,131,133,135,138,140,140,139,141,143,142,141,140,139,142,140,142,147,143,140,112,114,117,121,123,124,127,131,132,133,136,138,138,137,133,121,102,107,121,113,111,106,84,121,131,123,144,143,113,115,118,123,124,126,129,131,133,133,135,139,139,137,133,112,77,83,101,104,94,88,71,85,110,74,143,144,114,115,116,122,125,127,131,131,132,135,144,151,146,140,120,92,75,59,56,62,54,55,54,51,54,95,150,144,115,118,120,122,126,128,133,137,138,144,140,128,115,92,65,42,39,54,59,66,85,96,105,114,128,150,146,146,117,120,123,126,125,132,144,130,116,111,110,103,101,91,76,51,65,108,128,155,155,158,158,155,152,149,149,148,120,122,123,127,124,160,157,108,84,84,90,98,108,110,105,98,88,79,59,138,155,151,152,151,151,151,151,150,121,122,124,128,127,178,142,103,103,93,87,78,80,85,85,79,69,67,27,117,163,152,155,154,154,154,152,152,121,122,128,131,130,177,134,123,136,108,89,91,88,96,100,90,69,56,42,138,161,156,156,156,155,156,155,155,123,123,127,129,137,177,158,172,152,109,83,83,85,89,91,86,82,75,53,97,170,157,158,157,159,158,157,156,123,124,130,129,146,178,174,170,149,129,116,90,67,51,64,70,63,57,48,23,118,168,158,159,159,159,159,158,124,126,132,128,156,178,170,163,163,160,139,103,81,75,88,83,61,47,46,6,54,174,159,161,160,161,161,160,126,127,132,127,167,182,175,173,174,156,138,116,91,80,87,80,70,57,62,19,88,173,159,161,160,163,163,161,125,128,131,131,174,180,173,174,171,156,140,109,91,89,85,83,75,68,50,75,162,163,162,162,161,164,164,162,126,129,130,135,180,175,173,171,169,150,119,104,94,91,75,69,73,68,44,139,171,161,163,162,162,164,164,162,129,131,132,140,185,174,172,169,161,120,108,109,96,71,57,10,41,52,59,163,163,164,165,166,166,167,166,163,129,132,130,148,178,168,169,166,144,105,99,107,92,47,7,0,20,36,116,171,161,164,165,167,167,166,165,163,130,132,128,156,172,163,165,153,121,94,106,102,72,52,11,20,68,116,167,166,167,167,167,167,166,166,167,164,131,134,130,164,167,155,157,139,113,96,115,99,70,48,19,50,173,171,165,167,168,168,169,168,167,167,168,166,131,136,132,165,161,159,148,129,108,115,124,92,68,47,19,86,181,164,168,168,170,170,169,169,168,169,168,167,132,135,128,158,161,148,129,124,106,121,113,82,61,42,31,144,175,169,169,170,171,170,169,170,170,171,168,167,132,136,130,149,151,141,127,110,106,122,98,73,56,29,92,177,167,172,170,171,171,171,171,171,171,169,167,167,133,136,124,158,158,138,128,101,111,114,89,70,41,63,170,172,171,173,173,172,172,172,172,171,170,169,169,168,133,128,126,164,150,134,121,103,111,101,76,61,31,129,181,171,175,175,175,172,171,174,173,171,170,171,171,169,136,125,131,154,140,116,105,107,100,89,65,48,37,152,175,173,175,175,176,175,174,176,174,173,171,170,171,170
5,150,152,156,157,157,159,160,160,161,163,162,162,163,164,164,163,167,165,163,164,162,162,161,160,159,158,159,157,153,157,159,160,160,162,164,164,164,165,167,167,167,168,167,167,139,163,167,166,166,165,165,163,162,161,161,159,157,160,163,164,164,167,168,168,168,169,171,171,168,171,171,185,115,141,178,169,170,169,168,166,166,165,164,163,162,164,167,168,168,170,172,172,172,173,173,173,174,140,152,196,122,119,184,172,173,172,171,171,170,169,167,166,165,167,170,172,173,174,175,175,175,177,178,175,189,136,120,203,120,104,189,175,177,175,175,173,172,172,171,170,169,171,176,176,176,178,179,179,181,180,181,178,195,149,109,197,120,107,192,179,180,178,178,177,175,175,174,173,171,173,178,179,179,182,182,182,177,181,185,182,198,154,98,194,134,113,194,183,184,183,182,180,179,178,178,176,175,176,179,182,182,185,184,190,154,144,194,183,200,166,102,190,124,118,196,185,187,186,189,187,181,181,180,178,177,179,182,185,186,187,185,192,164,112,192,186,203,169,90,183,117,121,200,189,189,185,152,171,190,182,182,182,179,182,186,188,188,189,187,196,186,95,186,191,201,167,81,182,140,122,202,186,192,192,150,124,189,188,185,184,180,184,187,189,189,190,191,195,185,97,185,195,195,183,92,157,154,124,201,184,174,155,183,156,153,190,188,187,184,186,190,192,192,193,194,195,201,109,165,201,189,191,98,119,156,134,198,187,167,71,149,177,124,177,195,189,186,189,193,193,195,195,195,196,207,142,135,203,191,195,102,112,154,133,187,182,155,117,184,155,128,197,193,192,186,190,194,195,196,196,198,197,192,196,156,166,190,180,125,136,140,117,158,169,129,173,201,120,164,202,192,194,189,192,195,198,199,199,199,202,187,202,189,153,157,156,132,132,130,120,160,168,133,191,181,96,183,200,195,195,192,195,196,199,200,201,201,203,198,198,212,176,149,148,122,128,125,123,154,164,148,207,155,82,196,200,198,197,193,196,198,199,201,203,203,203,204,200,226,199,137,133,115,109,119,127,151,159,148,211,150,99,209,199,199,199,194,198,200,201,202,203,204,205,206,203,228,208,142,106,107,101,115,142,161,146,139,206,151,115,213,200,201,201,197,200,201,202,203,203,206,207,207,204,223,204,150,107,106,102,131,154,173,186,152,192,152,121,214,202,202,201,197,200,201,202,204,207,208,208,210,204,219,199,150,110,100,111,145,162,192,204,166,166,130,116,214,204,204,202,200,201,202,204,206,208,208,208,210,203,219,199,158,111,99,119,159,186,192,195,180,136,91,102,214,205,206,205,200,201,203,206,207,208,209,209,212,203,216,200,163,114,101,118,168,200,197,187,157,109,59,131,219,205,208,207,200,202,206,208,208,209,210,211,214,207,208,199,162,116,108,110,178,209,195,167,134,83,82,204,213,208,209,207,202,203,207,208,208,209,211,212,215,204,193,196,162,121,117,108,175,196,173,145,113,67,170,223,210,210,209,208,202,203,206,208,209,209,212,212,217,206,185,189,154,133,122,111,161,177,160,134,79,107,223,212,214,213,210,209,201,203,206,207,208,208,210,211,214,208,183,178,148,139,116,108,152,163,150,101,66,192,220,213,214,213,212,211,200,203,206,207,207,207,209,211,214,207,187,180,152,137,119,97,136,135,109,64,158,224,212,214,214,213,212,211,201,203,206,207,208,208,210,213,217,203,193,181,142,129,121,93,117,103,64,126,225,213,215,214,214,214,211,209
23,146,149,150,154,160,165,168,171,174,176,178,180,181,184,185,186,187,187,187,187,186,186,186,185,183,183,183,183,147,150,151,156,162,165,170,171,173,177,179,181,183,185,185,188,188,187,187,187,187,187,187,186,186,185,185,184,147,151,152,157,162,166,170,172,175,179,180,182,185,185,186,188,189,189,187,188,189,188,187,187,187,187,186,185,147,151,153,157,163,166,171,174,176,180,182,184,187,188,188,188,188,189,189,191,192,192,193,190,187,186,186,186,149,151,154,159,165,169,173,176,178,182,183,185,186,188,191,191,191,192,191,191,188,171,166,181,191,189,188,187,151,152,154,160,166,171,175,178,180,183,185,186,187,188,191,193,193,192,191,188,181,169,160,151,174,177,191,188,151,153,154,161,166,172,175,178,180,183,186,188,189,191,192,192,194,199,184,191,185,146,171,164,130,105,194,189,151,155,158,163,167,172,176,179,182,186,187,190,192,194,195,194,201,196,153,162,129,79,129,115,101,154,196,190,153,157,159,163,169,173,177,181,184,186,189,192,192,195,194,201,201,191,129,70,119,163,196,181,189,199,193,193,154,158,160,164,170,173,177,180,184,187,190,191,192,195,195,207,196,193,127,102,213,198,200,200,197,194,194,194,155,157,160,165,170,176,179,182,186,187,190,192,193,193,193,199,186,188,167,167,185,158,137,194,197,195,195,195,156,158,161,167,172,177,181,184,186,189,193,194,198,182,178,175,187,193,194,203,188,161,75,158,209,195,196,195,157,159,161,167,173,177,182,184,186,190,193,200,202,178,157,157,164,162,155,171,165,150,75,142,212,195,197,196,158,158,161,169,174,178,183,186,187,191,193,204,195,165,136,127,168,178,168,154,134,138,85,131,214,198,199,197,159,160,162,169,175,179,183,186,191,192,197,210,196,164,141,136,148,167,173,180,161,122,70,120,214,198,200,199,158,160,164,170,176,180,183,188,191,191,207,211,198,181,179,179,159,135,123,136,148,119,50,129,219,198,200,200,159,161,165,172,177,181,185,190,193,194,213,210,198,180,180,168,182,161,136,123,95,82,51,123,201,203,201,201,159,161,165,172,177,181,186,190,191,209,215,215,192,166,162,129,179,181,147,117,85,59,86,130,146,216,200,202,159,161,166,172,177,183,188,185,204,223,214,205,160,116,120,102,107,155,161,106,68,64,92,117,76,152,214,201,161,162,167,172,178,185,183,198,225,223,207,182,157,117,72,81,100,190,178,96,67,63,91,88,56,55,196,207,162,163,166,173,178,182,191,224,225,214,195,170,156,124,66,102,163,184,147,78,61,57,89,79,67,46,164,215,162,164,166,173,179,179,221,229,217,201,180,175,153,110,62,58,93,112,95,56,53,77,86,80,54,83,196,207,162,164,167,174,175,198,235,223,213,193,178,169,138,107,78,49,54,63,71,67,60,90,86,68,108,196,212,205,161,161,171,176,183,233,222,216,203,182,169,154,126,98,69,65,88,94,91,86,72,65,88,155,215,211,206,207,160,162,152,143,222,229,210,203,187,171,156,140,112,87,65,80,101,103,96,78,63,117,201,216,207,207,207,207,159,170,89,47,213,225,200,188,169,154,141,125,100,81,71,90,95,89,62,73,169,218,213,207,209,208,208,207,164,143,61,48,81,168,190,170,159,146,134,116,95,73,69,84,79,56,85,188,220,208,209,210,209,208,208,208,165,89,45,53,47,58,107,130,131,127,115,106,77,49,50,60,63,111,204,219,208,211,211,211,211,209,209,208
1,35,37,42,46,58,78,92,98,101,107,113,118,122,125,132,132,134,137,138,139,141,142,144,144,144,146,145,146,35,39,44,48,62,80,94,101,104,111,117,120,125,139,118,136,139,137,138,139,140,142,143,143,143,144,144,144,37,41,45,50,65,84,98,103,108,116,120,121,139,168,79,109,129,140,140,141,142,142,143,144,143,144,144,144,38,42,47,51,68,87,101,107,113,119,132,125,130,176,75,88,94,117,150,145,145,144,145,145,144,146,144,144,39,42,48,52,70,91,105,110,118,120,165,135,93,176,73,92,109,79,157,150,150,150,150,149,148,148,147,146,40,45,49,53,73,94,108,113,122,124,170,142,85,160,73,85,120,60,149,157,156,156,156,155,153,153,152,151,42,45,50,57,78,97,110,115,126,126,174,145,72,154,92,86,127,62,140,167,160,160,161,160,158,158,157,156,43,47,51,60,82,101,113,119,131,136,164,149,65,126,92,88,142,71,129,175,165,168,166,165,163,162,161,160,43,47,51,62,86,105,116,118,146,144,136,150,62,103,91,74,137,71,126,181,170,171,172,170,168,167,166,165,45,49,52,65,90,108,120,118,174,135,124,147,62,120,104,71,159,91,123,187,174,176,176,175,174,173,173,171,45,50,53,67,93,112,122,123,182,116,118,162,71,113,103,72,168,107,116,190,179,181,181,179,178,178,177,175,47,51,53,70,97,115,124,130,184,107,102,162,65,76,90,72,162,110,106,194,182,184,183,183,182,182,180,179,50,53,55,73,99,118,126,137,189,114,74,148,73,76,88,109,142,97,99,197,186,188,188,187,186,184,184,183,50,53,56,77,103,121,129,141,196,126,51,163,154,114,116,133,116,69,88,196,190,191,191,189,188,187,188,188,49,52,56,80,106,125,132,145,192,116,92,133,120,107,111,102,98,96,70,186,196,193,194,194,193,191,190,190,50,52,57,82,108,127,134,151,197,142,132,93,84,108,111,86,108,136,99,132,207,195,197,197,197,196,195,194,50,52,58,86,111,131,134,163,206,151,115,81,97,90,118,133,156,169,154,90,159,208,197,199,197,197,199,198,51,53,61,90,114,135,135,174,208,145,100,79,98,108,151,200,167,169,174,97,76,197,203,202,201,201,200,198,50,53,62,93,118,138,138,179,210,145,94,87,106,123,174,202,207,177,133,74,64,179,211,202,201,202,209,214,51,53,65,97,121,140,142,175,216,155,94,92,113,141,182,197,202,170,114,68,69,195,207,206,217,211,176,120,52,52,67,99,124,142,143,171,212,168,110,91,122,151,191,204,193,157,109,64,84,210,212,206,143,79,32,12,51,52,69,102,127,145,147,170,209,186,132,96,126,149,196,206,177,143,104,59,104,229,191,77,13,9,17,15,50,51,71,104,128,145,149,166,198,189,147,107,122,150,197,196,170,133,95,50,142,186,55,24,26,0,19,18,48,49,71,105,130,145,149,163,183,187,156,122,124,147,191,184,160,122,86,57,97,42,3,19,37,0,0,26,48,49,73,108,134,147,152,165,174,184,164,136,134,131,180,169,150,108,77,55,41,27,21,0,25,20,0,9,42,43,71,108,135,150,155,167,176,180,165,141,136,119,155,154,131,93,69,46,51,33,19,0,0,31,0,0,61,61,81,111,134,147,154,166,177,178,165,147,139,122,124,143,117,84,57,40,51,36,11,1,0,14,12,0,93,94,92,90,95,102,106,110,111,127,175,153,142,124,109,127,107,76,44,34,47,23,21,0,0,0,21,0
21,85,92,101,116,131,140,147,151,155,158,159,163,167,170,174,175,177,179,181,182,182,183,183,184,185,184,184,184,86,94,103,119,133,142,147,151,156,160,161,166,168,171,168,178,179,181,182,183,185,186,186,186,186,186,186,186,89,96,103,122,135,144,150,154,158,161,164,166,179,183,110,169,185,183,184,185,187,188,188,187,189,189,188,188,90,98,106,124,137,144,151,156,159,162,167,165,189,185,104,162,190,184,185,188,190,190,188,188,190,190,190,190,90,98,109,126,138,146,152,156,162,165,169,167,190,183,111,158,190,187,188,188,192,193,192,195,194,192,192,191,91,100,110,127,138,148,153,157,163,166,169,168,193,191,117,157,193,187,190,189,194,196,189,179,195,194,194,194,93,102,113,130,140,149,155,160,164,166,170,170,194,192,122,149,197,189,193,193,194,195,163,111,178,200,196,197,95,103,115,133,141,150,156,161,166,167,171,171,195,189,124,136,198,190,195,193,198,184,136,117,196,199,197,197,97,103,116,133,142,150,157,163,167,167,173,172,201,192,124,133,199,190,195,199,197,163,112,172,207,198,199,198,98,105,119,136,144,152,158,164,167,168,173,174,211,197,133,140,200,191,196,195,176,132,138,208,200,201,200,200,98,106,122,137,145,154,160,164,167,170,184,160,192,179,128,135,201,192,199,191,153,112,191,205,201,202,202,202,99,107,123,137,147,154,160,166,167,178,182,134,135,135,112,137,201,194,199,183,119,151,211,201,204,203,203,203,101,108,125,138,146,155,161,165,179,198,145,131,101,98,100,139,181,182,183,140,115,202,204,204,205,204,203,203,102,108,126,139,147,155,162,166,205,212,183,157,107,81,98,128,159,159,144,99,170,211,202,205,205,205,205,204,102,110,128,140,148,156,161,176,210,220,224,155,110,83,92,115,133,139,105,126,210,204,206,206,206,206,206,206,103,111,129,140,149,157,160,183,192,181,191,139,105,92,90,106,118,119,98,191,209,206,206,206,206,206,207,207,103,112,130,140,148,158,160,204,190,127,150,158,116,96,91,96,106,89,133,215,203,206,208,208,208,207,208,207,104,113,132,141,150,157,167,205,154,121,132,171,129,102,93,89,97,85,162,214,205,208,207,208,208,209,210,208,104,115,134,141,151,153,182,203,163,158,151,192,147,126,103,89,92,86,170,214,208,209,209,208,208,209,210,208,104,116,132,140,153,153,193,206,185,150,194,222,152,142,108,87,91,90,185,212,208,209,211,211,211,211,210,208,105,118,135,142,154,154,203,220,178,159,231,197,148,137,108,88,88,95,201,211,209,209,210,211,211,211,210,210,106,119,135,142,153,154,211,209,166,177,217,177,143,126,116,94,82,117,214,208,209,209,211,211,211,212,211,211,105,118,134,142,155,155,203,189,177,177,214,173,162,124,104,95,80,154,216,207,210,210,211,212,213,212,211,211,105,120,135,146,156,158,186,195,198,175,217,164,156,127,96,93,82,180,214,207,211,210,211,212,213,213,212,212,105,122,136,145,155,160,178,218,187,170,204,149,133,108,92,87,93,196,211,209,211,212,213,213,214,213,213,213,104,122,136,144,153,160,174,208,182,162,178,140,117,104,93,79,109,208,207,211,212,213,214,214,214,214,213,213,102,120,132,143,152,162,168,187,170,164,167,149,132,112,96,73,122,212,204,207,211,211,212,212,213,213,213,212,102,120,131,143,152,162,167,179,176,171,167,162,147,114,93,68,130,212,202,206,210,211,211,211,212,213,213,212
8,212,211,212,213,212,212,213,212,212,210,213,186,191,212,208,207,207,207,205,203,202,202,201,199,198,197,196,194,212,212,213,214,214,214,214,213,213,213,218,164,155,218,208,210,209,209,206,205,203,203,202,201,199,199,197,194,213,214,215,215,215,215,216,217,213,221,213,140,152,219,209,212,212,211,208,207,206,205,203,203,201,199,197,196,214,215,216,218,217,216,218,218,214,227,205,123,172,221,210,212,212,210,210,209,207,206,205,205,204,200,198,198,216,217,218,219,221,219,218,219,215,236,205,129,186,221,213,213,213,211,211,209,208,208,207,205,204,202,200,200,217,219,219,220,221,220,219,220,218,241,186,127,195,221,213,218,215,211,211,210,209,209,208,207,204,203,202,201,218,220,220,219,220,221,221,220,221,237,177,132,202,222,213,177,204,222,215,211,210,210,209,208,206,205,204,201,220,221,222,221,221,221,223,220,226,238,190,168,201,224,225,174,153,188,202,217,210,212,209,209,207,206,206,201,221,221,222,222,222,223,223,219,231,231,203,186,207,216,227,215,173,149,140,164,219,205,215,211,207,206,205,203,222,223,222,223,223,224,226,221,231,227,214,195,226,218,206,230,207,205,168,108,152,150,149,208,211,207,207,205,223,223,224,225,225,226,226,222,243,215,203,214,228,214,175,194,211,195,173,115,84,103,88,150,220,208,209,206,224,225,225,225,227,228,227,230,228,197,206,198,215,196,164,118,201,209,177,127,85,93,93,116,218,210,209,206,225,226,227,228,228,229,226,243,216,181,178,183,212,174,145,81,159,233,183,133,89,109,91,140,221,209,209,208,226,227,228,228,229,227,234,253,227,196,153,158,200,156,119,97,161,241,190,138,88,88,95,202,217,210,210,209,226,227,228,230,230,227,252,249,222,193,166,156,205,194,191,220,206,211,182,142,95,71,177,222,211,212,210,209,227,229,229,231,230,232,255,237,217,198,182,153,173,240,234,214,213,175,167,149,92,150,228,215,214,214,212,211,228,230,230,231,231,241,255,231,220,195,161,161,217,240,216,190,216,159,152,144,89,203,223,217,215,214,214,212,228,231,231,232,229,250,254,229,222,187,164,212,246,228,208,183,200,157,129,114,106,225,220,219,218,215,213,213,230,231,232,233,233,252,251,234,222,183,202,233,238,217,201,174,177,153,116,85,158,234,219,220,219,216,215,214,232,232,234,230,229,255,247,234,213,190,202,226,216,203,184,164,166,130,99,83,209,227,222,221,220,219,217,215,233,230,245,175,111,210,240,215,194,186,194,205,204,188,170,161,141,110,76,126,234,223,224,221,221,219,217,214,230,238,213,110,96,99,172,206,189,187,186,198,202,176,158,136,108,92,78,202,229,225,224,221,221,220,218,215,231,243,141,94,103,97,94,152,193,197,180,195,190,155,133,110,100,71,157,237,224,227,224,221,221,220,218,217,246,186,99,101,95,96,94,65,100,125,142,180,167,122,105,99,72,130,235,227,227,227,224,222,222,221,219,217,217,112,98,97,93,89,100,72,58,72,74,96,109,96,85,68,144,233,229,227,227,227,225,224,221,220,219,216,129,97,99,95,88,86,97,78,47,73,69,58,57,64,52,165,250,226,227,226,226,226,224,222,221,219,218,216,96,91,89,91,88,81,95,72,40,65,65,57,57,52,48,102,195,233,227,228,227,227,225,222,221,219,217,214,101,87,67,117,103,71,93,54,43,60,59,53,52,53,55,32,128,243,227,228,228,227,225,223,221,221,218,215
10,74,77,80,85,93,108,119,127,131,135,140,146,150,154,162,153,156,164,164,164,165,165,165,163,164,163,161,159,75,77,81,85,96,110,121,129,132,137,142,148,152,156,187,142,130,165,165,165,166,167,165,164,164,163,162,160,76,78,82,87,97,112,122,130,133,138,144,150,154,161,187,148,113,165,167,167,168,168,167,166,165,165,163,162,77,80,83,87,99,113,124,132,135,140,147,152,157,163,190,162,108,161,170,170,171,170,169,167,167,166,166,163,77,81,84,88,100,115,127,134,137,142,149,154,160,163,192,178,119,154,172,172,172,171,171,171,170,168,167,166,78,81,86,89,102,117,128,135,138,144,151,156,161,164,201,186,129,144,175,174,173,174,173,173,172,171,169,167,79,82,87,90,104,119,130,137,140,146,154,159,164,166,201,185,139,132,176,176,176,177,176,175,174,173,171,170,80,83,87,90,105,120,132,138,142,149,155,161,165,168,203,191,139,117,178,179,178,179,178,176,175,175,173,172,80,83,87,91,107,122,134,141,144,151,159,161,166,170,206,199,148,104,176,180,180,180,179,178,178,177,175,174,81,83,88,93,109,124,138,143,145,155,179,137,152,172,200,184,143,95,167,182,182,182,182,180,179,179,177,177,81,85,89,94,110,138,165,133,111,136,161,105,113,173,192,168,132,90,152,184,185,184,183,182,181,181,179,179,82,85,89,95,111,150,160,105,84,89,123,94,67,142,174,148,136,94,144,186,186,186,185,184,183,183,181,180,82,86,88,96,113,132,135,103,91,85,115,97,66,70,110,119,140,108,124,188,188,186,186,186,184,183,183,182,82,86,89,97,114,129,141,141,137,125,123,106,88,66,69,84,114,109,97,183,189,188,188,187,186,186,185,183,83,86,89,96,114,130,144,150,158,160,118,121,107,96,76,70,88,92,82,170,191,192,190,188,188,188,186,185,84,86,90,98,115,131,145,151,174,158,101,110,135,129,109,85,75,78,73,160,193,193,192,191,190,189,187,186,82,85,90,99,117,133,148,156,168,169,138,90,114,153,135,115,90,70,68,137,195,195,194,193,192,190,188,187,83,87,89,98,118,133,163,169,141,177,149,103,103,190,154,134,110,71,62,97,195,196,196,195,194,192,191,190,84,87,89,98,118,134,176,187,140,141,138,112,145,207,170,142,121,80,61,83,195,198,197,196,196,194,194,192,84,87,89,100,119,136,165,191,153,108,146,143,155,209,168,139,122,90,65,81,196,200,199,199,197,196,194,193,84,86,89,101,121,137,152,173,158,116,152,176,158,199,176,141,118,93,70,80,196,201,201,200,199,197,196,195,84,86,89,102,121,138,151,161,162,123,149,207,142,177,174,150,116,90,74,78,196,202,202,201,200,198,197,196,83,85,88,102,121,138,151,156,175,147,168,153,103,148,171,144,111,85,75,85,200,203,203,201,201,200,198,196,84,87,88,101,122,139,153,157,168,193,172,115,117,159,161,133,104,82,76,99,203,204,205,203,202,201,198,197,82,85,87,102,122,139,151,156,162,189,192,173,150,165,145,120,98,83,77,117,204,204,204,203,202,201,199,199,80,83,86,101,121,138,151,154,161,171,190,177,144,146,132,113,102,91,80,131,204,204,204,203,201,201,199,198,79,81,85,101,122,138,152,155,156,90,163,175,135,147,147,144,127,105,78,144,205,205,205,203,202,201,201,199,78,80,83,99,120,137,151,155,109,15,147,189,175,165,153,161,140,105,71,149,207,206,206,204,202,202,201,199
20,181,183,185,186,188,189,189,190,191,191,191,191,190,190,189,188,188,187,186,187,185,184,183,181,181,180,180,179,182,184,186,187,188,191,190,191,193,193,192,193,192,191,191,189,189,188,187,177,185,185,184,183,183,182,182,181,183,184,187,188,189,191,191,193,193,194,194,193,192,191,192,192,189,189,197,145,152,196,185,184,184,183,183,182,183,185,187,189,190,192,193,194,194,195,195,193,193,194,193,193,190,192,198,139,139,176,183,187,185,184,183,183,185,186,187,190,191,192,194,194,196,196,195,194,194,194,194,193,191,198,188,135,116,137,150,193,185,185,183,184,185,188,189,191,191,193,195,195,197,197,196,196,195,195,194,196,191,204,185,126,133,156,136,192,186,187,185,185,186,189,190,192,193,195,196,197,198,198,198,197,196,196,196,196,194,206,181,126,165,159,134,192,188,187,186,185,187,189,191,193,194,195,197,198,199,200,199,199,198,198,197,195,196,205,170,128,183,163,138,192,189,189,188,187,188,190,192,194,195,196,198,199,200,201,200,201,201,199,201,200,199,202,158,138,191,156,145,195,190,190,189,187,189,191,193,194,196,197,198,200,201,201,201,202,202,197,168,176,212,201,152,157,195,146,147,199,190,191,190,189,190,192,193,195,196,198,200,201,202,203,201,200,199,201,166,130,187,196,142,172,201,142,153,200,192,193,191,190,190,193,194,196,197,199,202,202,202,203,201,206,204,200,196,165,144,141,120,171,191,136,164,200,193,193,192,192,191,193,197,199,199,200,201,202,204,204,203,213,212,204,215,200,158,118,99,148,165,131,174,200,195,194,193,193,193,195,197,200,200,202,203,204,205,203,209,200,167,193,193,196,161,125,113,128,135,124,184,199,195,194,194,193,193,196,198,199,202,202,203,205,206,203,215,193,144,180,176,192,180,141,117,114,121,121,192,199,196,195,195,193,194,196,198,199,202,203,205,206,205,205,218,202,170,150,130,174,195,154,123,112,113,126,197,199,197,196,196,195,195,196,198,200,201,204,206,207,206,207,208,175,153,137,105,137,207,167,136,118,109,135,203,198,198,197,196,195,195,197,198,200,201,204,206,208,206,214,207,174,165,148,125,181,209,174,155,127,109,146,207,198,200,199,196,195,195,197,200,201,203,204,207,208,206,218,202,184,164,144,183,225,196,170,163,132,113,152,209,199,199,199,197,196,196,198,200,201,203,205,207,207,209,223,211,180,154,170,229,204,180,161,155,133,119,165,208,199,200,199,198,196,196,198,200,202,204,206,209,208,213,233,205,168,163,199,231,197,175,149,141,133,124,184,206,201,201,200,198,197,196,199,201,203,205,206,208,208,217,229,183,183,165,212,222,195,173,151,129,128,132,199,205,203,201,201,200,198,195,197,200,202,204,206,207,206,218,218,199,196,163,221,213,185,164,149,131,124,148,206,202,202,201,201,199,198,195,196,199,201,204,206,207,207,212,218,220,185,181,222,196,172,154,139,132,123,171,208,202,201,201,200,199,197,195,197,200,202,204,205,207,207,209,218,213,184,173,202,186,160,144,133,128,129,193,207,204,202,201,201,199,198,195,198,201,203,205,206,207,207,210,211,193,179,169,183,180,158,146,134,120,148,207,205,204,202,201,201,199,199,194,198,201,202,204,206,208,208,210,201,188,181,182,181,186,173,144,131,118,171,210,204,204,202,202,201,200,199,194,197,200,202,204,206,208,208,209,210,204,203,196,184,180,172,139,126,121,188,209,203,203,202,202,200,200,199
2,92,95,99,103,106,108,109,113,116,116,119,120,123,124,124,128,124,130,131,133,135,134,134,136,135,136,137,137,92,96,100,104,107,108,111,113,116,117,120,121,124,123,128,126,78,104,124,130,96,117,142,134,137,137,137,137,93,95,102,105,108,110,112,114,117,119,120,121,120,128,129,96,51,61,110,110,60,78,127,136,136,137,138,138,93,97,103,105,108,110,114,116,119,121,119,124,133,127,93,59,40,53,80,81,73,74,61,127,139,137,138,138,96,98,103,107,109,111,115,118,121,122,123,143,140,100,50,41,44,55,52,70,79,79,38,86,146,137,138,139,96,99,103,108,111,113,115,119,122,120,139,147,113,65,29,29,40,56,53,70,71,64,58,121,144,140,140,140,98,101,105,109,112,114,116,120,119,129,152,110,65,34,24,16,38,68,80,65,86,101,128,145,141,143,142,142,98,101,106,109,113,115,118,119,117,148,134,74,37,34,34,31,59,63,66,115,145,144,145,142,143,144,143,144,98,102,106,110,113,116,120,115,139,147,103,62,32,35,34,47,44,75,127,145,140,141,142,143,144,144,144,144,99,102,107,111,113,118,117,124,151,120,74,32,27,28,42,51,67,148,142,140,142,143,144,145,146,145,145,145,99,103,107,111,116,119,117,151,143,97,56,36,39,29,46,44,107,145,139,142,143,144,145,146,146,146,147,146,101,106,108,112,119,115,141,167,136,90,59,46,44,39,37,69,142,140,142,143,144,145,146,147,146,147,149,148,102,106,110,114,117,115,167,156,118,82,51,43,41,46,46,125,145,141,143,144,145,145,147,149,148,149,150,149,102,106,110,115,116,131,178,146,107,71,46,40,39,41,73,146,141,143,144,144,145,146,148,148,148,150,150,150,103,107,110,116,113,159,170,134,98,61,42,41,43,41,110,146,141,144,145,144,147,149,149,152,153,150,152,150,103,108,113,113,126,178,158,125,92,57,41,41,42,33,126,146,142,145,144,147,148,150,151,138,121,109,124,154,103,108,115,110,157,177,147,114,82,51,38,43,43,34,82,150,144,143,145,149,154,145,122,114,109,78,89,157,104,109,111,122,178,160,134,108,78,49,37,40,43,53,48,96,145,149,150,147,129,120,120,110,86,104,148,152,104,111,105,151,176,149,128,99,71,46,35,40,48,59,70,59,74,111,120,113,103,111,122,78,113,160,153,153,105,107,113,175,164,148,119,89,68,47,32,44,57,71,83,81,69,90,102,119,124,116,88,80,156,151,152,154,105,102,144,176,152,138,110,91,71,48,33,58,77,92,98,92,86,102,115,115,103,92,95,139,156,153,152,153,104,110,170,161,151,134,110,95,72,48,39,74,92,97,103,100,89,99,99,85,107,137,154,154,153,154,153,153,98,139,176,155,149,133,108,92,71,50,46,85,95,94,102,105,71,68,100,136,156,155,153,152,153,155,155,155,105,172,166,152,146,127,101,86,70,50,51,90,92,88,104,80,79,124,152,152,151,151,154,153,154,155,155,155,142,176,152,148,143,114,86,75,60,46,64,83,93,87,83,101,148,154,150,150,151,152,152,153,155,155,155,155,170,158,146,135,129,103,81,68,54,53,68,73,86,75,115,150,147,148,151,151,152,152,152,153,156,155,155,155,158,150,139,125,128,89,69,65,57,63,51,65,103,131,149,145,148,150,151,151,153,153,153,154,155,155,155,155,153,146,133,119,130,82,59,67,66,54,75,126,142,146,145,148,146,148,151,151,153,153,153,155,156,156,155,155
0,180,180,180,180,180,180,180,180,179,178,177,177,177,177,175,174,174,174,172,171,169,169,168,167,166,165,163,163,181,182,181,181,182,180,180,181,181,179,178,178,178,177,176,175,175,174,174,173,171,170,169,167,166,165,165,164,182,182,182,182,182,181,182,182,181,180,180,179,179,179,178,176,177,174,173,173,172,172,170,169,167,166,166,165,184,183,183,183,182,182,183,183,182,182,181,177,170,176,179,176,174,177,175,174,173,172,171,170,169,167,166,165,184,184,185,185,184,183,183,182,179,181,179,159,131,129,164,151,132,138,171,168,166,170,171,171,170,168,167,166,185,185,185,186,185,184,183,171,148,149,167,152,125,99,118,136,113,90,120,130,114,124,164,156,156,169,167,166,187,186,185,186,184,184,183,169,145,123,133,160,127,101,106,145,120,93,86,122,102,75,116,136,124,169,168,167,187,187,186,185,185,185,184,180,158,135,108,149,131,106,102,146,125,95,89,129,111,75,76,126,110,166,169,168,188,188,186,186,186,188,181,167,163,135,96,138,135,106,99,143,123,93,75,118,106,74,64,117,100,152,171,170,189,188,188,188,188,188,170,138,157,119,88,135,124,95,91,131,111,83,65,109,97,67,64,117,101,116,169,170,189,189,188,189,189,183,154,123,153,111,87,130,109,80,84,122,102,74,76,127,107,62,64,122,116,92,142,171,189,188,189,189,190,184,166,142,151,122,98,128,114,82,88,129,107,71,107,145,107,55,78,127,120,89,108,172,189,190,190,190,190,176,154,135,131,118,97,133,126,84,102,142,117,76,98,126,78,57,115,137,116,78,117,173,190,191,192,192,186,159,133,113,99,86,81,129,118,79,93,137,115,69,41,50,43,92,139,137,102,79,154,173,192,192,192,191,184,164,138,113,90,81,79,91,97,75,63,86,88,87,98,77,84,135,140,122,80,113,174,173,193,193,192,189,181,164,140,114,92,87,92,92,97,100,95,102,129,146,144,135,119,130,127,98,75,155,175,172,193,193,194,191,183,166,144,120,97,88,94,103,121,133,142,152,156,150,139,135,115,111,109,74,102,174,175,174,192,193,193,191,184,167,147,127,107,97,97,111,141,155,163,162,156,145,135,129,107,93,88,64,144,178,176,175,193,194,193,190,186,170,152,134,115,111,108,138,165,167,167,162,153,139,129,121,96,77,63,99,174,178,177,176,194,194,193,191,188,175,157,142,129,125,134,161,171,170,167,159,148,135,121,107,80,57,85,163,180,178,178,177,194,195,194,192,188,177,161,148,138,134,153,166,172,172,165,149,139,127,111,92,61,77,160,180,180,179,178,177,194,195,194,190,187,180,167,153,141,137,161,168,172,169,156,139,128,116,97,69,69,153,182,180,180,180,179,177,194,196,195,190,185,180,169,158,144,138,159,168,163,156,142,127,113,99,73,64,143,183,183,182,180,180,179,177,195,197,197,192,186,182,173,165,153,143,155,161,152,143,129,113,96,73,61,135,183,185,184,182,181,180,178,177,196,196,197,194,188,180,173,168,159,149,152,154,143,129,118,99,71,61,133,184,186,185,183,182,182,180,179,178,196,197,197,193,187,179,180,179,168,155,149,145,130,116,104,77,63,137,187,189,188,186,183,182,182,180,179,179,196,196,196,191,188,176,180,178,164,153,144,136,118,99,85,64,135,188,190,188,188,187,185,183,183,181,180,179,197,197,194,187,182,164,175,169,157,149,139,123,109,90,68,92,185,191,189,188,188,187,185,185,183,182,181,179
4,101,108,114,117,120,125,128,130,133,135,138,141,143,145,148,149,149,149,152,155,154,155,158,158,158,158,159,159,102,108,115,118,121,124,128,131,134,136,137,140,144,148,147,147,151,154,153,152,158,156,158,159,160,159,160,160,104,110,115,119,123,127,129,132,134,137,139,143,140,147,151,152,147,140,152,157,154,161,160,160,161,161,160,160,105,112,116,120,124,128,131,133,136,137,135,148,160,140,131,174,151,96,76,134,117,108,161,162,161,162,163,163,106,112,117,121,125,129,134,132,136,157,132,121,150,147,86,135,142,91,40,79,110,61,105,172,161,164,164,164,105,112,117,121,126,131,135,129,159,188,161,127,86,96,77,104,139,78,34,111,112,65,55,170,166,166,167,166,106,113,119,122,127,131,133,133,184,151,163,118,77,46,53,118,157,73,86,134,87,41,38,162,167,165,168,167,109,114,119,123,127,132,127,149,172,118,157,87,52,50,46,87,128,122,146,120,94,28,54,169,166,167,168,169,109,115,120,124,129,133,127,166,166,129,146,89,46,67,85,89,123,143,121,129,121,81,78,179,167,169,171,170,106,115,121,126,128,133,131,181,156,136,127,105,27,92,155,129,127,120,102,153,136,121,93,158,173,169,173,173,108,116,122,126,130,131,144,177,129,103,90,68,18,44,116,106,105,69,79,162,154,145,109,89,171,173,173,173,108,116,122,126,133,127,164,177,131,105,84,53,30,21,34,51,52,66,113,140,156,148,128,80,107,182,172,174,109,117,123,128,134,130,187,170,136,119,93,68,45,34,35,45,96,165,158,143,138,119,117,105,62,154,180,174,110,118,123,129,130,140,198,168,150,124,88,68,52,44,89,149,179,177,153,138,121,94,94,97,60,137,185,174,112,119,124,129,126,161,205,173,149,114,91,86,58,91,163,179,177,175,151,129,108,83,73,75,70,169,178,176,112,119,126,131,127,178,207,172,140,116,111,95,86,149,166,169,175,164,142,118,97,75,68,54,126,185,175,177,113,118,124,132,125,185,204,165,145,139,128,105,130,158,165,169,164,151,128,105,87,71,55,78,176,175,179,180,113,120,125,133,128,189,204,173,160,151,132,122,151,160,169,164,145,134,112,93,79,66,50,148,184,175,181,182,115,121,126,131,127,181,203,182,169,151,131,119,143,159,158,150,132,119,101,82,74,49,98,187,177,178,182,182,115,122,127,132,128,168,201,179,169,151,126,109,132,145,144,135,118,107,90,73,59,60,167,183,179,178,181,181,116,123,128,133,132,156,195,168,150,138,119,117,131,143,142,128,106,94,79,64,47,143,185,180,182,182,182,182,117,123,129,135,134,153,185,149,142,133,125,133,125,132,133,119,100,84,72,44,114,186,179,181,181,183,183,183,117,122,127,136,133,150,180,147,152,142,151,147,120,117,125,108,87,79,51,80,180,177,181,182,182,184,183,184,118,123,129,135,135,162,180,163,155,151,146,136,114,101,114,98,79,69,48,156,181,179,183,183,184,184,184,184,119,124,130,130,167,185,155,149,163,155,137,121,106,92,100,88,77,47,94,187,177,182,182,183,184,185,184,185,119,125,125,146,189,176,180,110,118,157,127,111,101,83,84,80,74,37,115,189,177,181,183,183,184,184,185,186,119,126,129,181,179,175,181,177,93,96,113,107,91,66,78,71,67,38,122,190,178,182,183,185,185,186,186,187,122,119,160,189,169,179,178,177,178,83,70,97,80,64,73,65,63,35,129,189,179,182,183,185,186,187,187,188
10,56,98,86,14,45,71,74,80,87,96,111,118,125,132,136,140,141,143,145,149,152,155,155,157,160,161,162,163,62,104,78,12,51,73,75,82,88,96,113,120,126,132,135,141,142,143,149,150,154,155,157,158,160,162,164,165,74,107,68,11,58,73,77,82,89,100,114,121,129,134,139,140,149,145,135,153,154,156,158,159,162,163,165,167,87,108,58,14,63,73,78,83,89,103,116,122,130,136,141,138,168,145,105,154,155,156,159,161,163,163,166,168,96,108,47,21,67,73,79,85,90,105,118,124,131,137,141,139,171,155,102,150,158,158,161,162,164,166,168,169,98,110,36,27,69,74,80,87,93,107,118,126,132,137,142,140,168,160,97,141,161,159,162,164,166,167,169,169,104,110,27,32,71,74,80,86,93,110,120,127,132,138,142,144,161,168,110,123,166,160,163,165,168,168,170,171,109,105,19,41,72,74,82,88,95,111,124,129,134,139,145,144,155,170,121,103,167,161,164,166,169,170,171,173,115,99,14,49,73,76,80,88,94,139,124,97,134,140,143,147,152,163,131,90,154,166,165,167,170,171,172,173,119,90,12,54,74,74,89,94,101,153,116,80,108,145,144,148,150,173,150,86,133,170,165,168,171,172,173,175,124,79,12,61,69,92,152,96,86,134,134,96,80,139,146,150,147,189,167,95,113,172,164,170,171,172,175,176,126,66,15,66,72,91,125,81,65,99,152,122,77,115,156,148,149,185,156,106,98,172,166,170,173,174,175,177,126,54,18,69,75,78,89,89,72,83,149,124,87,74,123,151,155,171,147,113,87,165,169,170,174,176,176,178,127,42,25,74,75,81,87,94,95,85,145,128,90,71,68,109,154,151,142,123,82,155,174,171,175,177,179,180,125,32,34,77,77,82,88,94,107,114,164,151,108,79,67,65,99,118,132,123,84,148,175,172,175,178,179,180,120,23,40,76,77,82,90,94,105,146,183,162,129,88,69,55,69,87,114,117,80,137,178,173,176,178,179,181,113,16,46,78,77,83,88,95,166,176,171,170,144,108,80,68,73,93,102,107,74,119,181,174,177,179,180,180,103,13,54,79,78,85,84,113,193,180,171,169,159,131,93,76,76,85,96,97,70,114,182,172,178,180,181,182,91,13,60,79,79,84,86,109,197,180,172,178,160,137,94,74,68,75,89,85,64,142,181,174,178,181,181,183,78,13,64,79,80,85,90,98,163,126,178,184,153,128,90,75,70,80,91,78,86,173,176,179,179,180,182,183,63,14,69,79,80,86,91,96,126,106,198,170,143,126,97,82,73,80,88,70,128,180,174,179,179,180,182,183,49,20,74,79,80,86,94,92,156,175,194,172,140,121,102,86,79,79,81,77,163,176,176,178,180,181,183,184,36,25,76,78,80,87,91,101,188,194,193,162,142,109,102,89,82,78,69,108,179,174,178,179,180,181,184,185,27,32,77,78,80,87,87,116,204,192,183,151,138,101,95,92,85,74,69,157,177,176,179,181,181,183,185,186,18,37,79,77,80,87,88,114,202,194,172,141,126,98,90,89,87,66,104,178,173,177,178,180,181,183,185,186,13,43,80,78,82,88,88,116,207,185,167,133,119,98,89,85,81,59,139,178,174,176,177,180,182,184,185,186,12,50,81,78,82,89,89,121,195,171,170,143,129,105,86,80,70,67,157,174,175,177,178,180,183,185,186,187,13,53,80,78,82,89,92,110,165,168,176,163,140,109,84,74,60,81,170,172,175,178,179,181,184,185,186,187
24,92,103,116,125,133,137,138,144,151,155,158,162,164,166,169,172,173,175,177,178,179,179,178,178,178,178,177,176,92,105,117,127,135,138,140,146,153,157,160,164,166,168,171,173,175,177,179,180,180,181,181,180,180,180,180,180,93,106,119,129,136,140,142,149,154,158,162,166,169,172,174,175,177,179,180,181,182,183,182,181,181,181,181,181,95,108,120,131,138,142,145,151,156,160,164,168,171,174,176,178,179,181,182,183,183,184,184,183,183,183,183,182,95,109,121,132,140,164,139,147,159,162,166,169,173,175,178,180,181,183,184,186,186,186,186,186,186,185,185,185,96,110,122,133,146,175,121,126,161,164,167,171,174,177,180,181,184,185,187,187,188,188,187,187,187,187,187,187,97,110,123,134,143,160,112,103,158,166,170,174,176,180,182,185,186,188,189,190,190,189,190,189,188,188,188,188,98,112,125,135,142,160,120,90,147,170,171,176,178,179,179,190,192,167,176,192,192,191,192,191,191,190,190,189,99,113,126,137,144,152,138,97,119,169,171,164,184,179,141,175,200,155,120,178,195,194,193,193,193,192,192,192,100,114,127,138,146,150,161,114,96,160,186,154,187,190,129,155,190,145,97,128,195,196,195,194,194,194,194,193,100,115,128,139,147,150,160,135,115,163,210,173,200,200,138,179,177,115,85,97,182,198,197,195,195,196,196,195,102,116,129,141,149,152,159,171,141,170,225,178,194,198,135,188,168,95,74,85,152,202,198,198,198,198,193,185,103,117,130,141,149,152,157,172,164,188,219,172,177,196,137,196,174,91,74,87,118,201,201,200,199,194,182,163,104,118,131,143,151,154,157,176,211,195,204,176,159,185,138,206,174,80,71,84,88,179,204,198,198,194,164,127,105,119,133,144,152,155,159,181,205,177,176,161,128,167,140,205,143,66,78,94,93,133,189,191,197,172,126,102,107,121,134,145,152,157,160,181,221,192,168,150,120,154,134,110,76,82,95,115,136,150,172,176,160,121,107,162,108,122,135,146,153,156,161,178,225,204,169,149,153,160,169,117,117,161,163,169,167,161,153,140,111,120,182,205,108,123,136,147,154,157,161,175,221,211,184,158,154,163,189,192,208,207,195,183,165,142,122,103,116,191,209,207,109,124,137,147,155,157,163,174,218,212,183,161,171,203,223,227,216,201,187,169,143,116,94,107,187,211,209,208,109,125,138,148,155,157,163,172,212,214,190,176,182,209,229,228,212,190,172,147,116,91,111,184,213,211,211,209,111,125,137,148,156,158,164,170,202,216,199,184,178,207,225,220,204,178,152,121,93,131,198,213,213,213,212,211,111,126,138,149,157,159,165,172,193,215,198,175,166,200,208,198,185,161,130,96,138,208,216,214,214,214,213,212,110,125,137,150,157,158,164,172,187,206,182,160,165,197,192,174,155,128,93,133,208,216,214,215,215,214,213,212,110,125,137,149,155,157,162,171,183,202,182,172,177,198,183,154,129,92,101,199,216,214,214,214,213,213,213,213,110,124,138,149,156,157,163,172,184,219,204,191,184,194,174,138,115,84,152,212,213,214,215,215,215,214,214,214,109,124,138,149,156,157,164,173,183,225,216,196,180,188,160,129,105,89,181,215,215,215,216,216,215,215,215,215,109,124,137,149,156,158,164,172,180,211,202,184,176,187,155,133,92,92,193,216,215,216,216,216,215,216,216,216,107,123,137,148,155,158,164,171,182,204,187,166,171,178,151,125,79,94,199,216,216,216,216,216,216,216,216,216
7,97,123,139,146,153,158,163,163,165,168,172,173,174,175,175,176,178,177,177,176,174,174,172,171,170,167,166,164,100,125,140,148,154,159,163,165,166,170,174,174,176,176,176,177,179,179,178,177,176,175,174,172,171,169,167,166,102,128,140,149,155,161,163,166,169,172,174,175,177,178,179,180,181,181,181,179,178,176,176,175,173,171,170,168,103,128,141,151,157,162,166,168,171,174,174,175,178,181,181,181,182,181,181,181,181,178,178,178,176,174,172,170,103,129,141,150,158,163,167,169,172,175,175,177,180,182,182,182,182,182,182,182,182,182,182,180,177,176,174,171,105,131,141,152,159,164,167,168,172,174,176,178,181,184,187,187,189,189,187,186,183,178,174,173,178,178,176,173,105,130,142,152,159,164,168,172,176,179,182,180,180,176,168,159,145,142,138,142,126,115,146,149,141,180,176,175,106,131,143,153,159,164,167,158,149,142,141,139,132,117,111,116,87,98,103,96,96,98,144,139,113,183,181,177,109,133,144,154,160,168,151,115,107,115,116,122,120,109,99,90,86,87,90,85,90,85,85,79,109,156,172,181,110,134,142,153,166,162,139,100,90,98,96,97,99,101,103,107,107,88,94,106,98,92,87,79,85,112,113,170,111,133,148,159,158,145,130,106,88,85,96,109,118,122,121,115,104,75,83,105,90,77,76,66,75,102,84,158,109,148,157,153,144,139,136,124,119,120,126,132,119,116,112,105,81,67,67,69,62,59,60,61,66,81,121,181,149,160,152,149,150,146,127,100,88,94,106,105,96,92,78,65,60,80,100,122,139,154,164,169,177,181,187,184,169,158,156,155,149,127,114,72,64,81,78,63,53,74,131,155,173,185,197,202,200,199,197,194,192,188,184,183,163,159,158,145,122,117,100,64,60,54,39,27,33,46,76,93,187,199,191,192,191,190,190,190,189,187,185,184,161,162,148,129,117,110,102,93,71,47,44,49,47,41,32,9,114,207,191,195,194,193,192,191,191,189,186,185,163,152,127,116,110,107,120,124,90,51,50,53,52,49,50,30,119,210,194,195,194,194,194,193,192,189,187,184,146,126,107,106,104,102,107,103,65,44,41,36,41,43,44,20,76,205,195,196,196,196,193,192,191,190,189,185,119,109,104,103,97,86,88,73,49,34,22,30,46,49,46,29,109,201,195,197,197,196,193,192,191,190,188,185,113,109,105,99,88,70,62,64,61,44,42,57,59,51,29,125,209,196,197,197,196,195,193,192,192,191,188,185,105,93,84,77,69,65,72,86,78,56,46,40,41,46,110,196,194,195,195,194,194,194,192,191,190,189,186,184,95,85,82,79,76,76,81,85,66,38,58,105,140,177,198,192,192,194,193,192,192,192,191,191,189,187,185,183,91,87,87,82,72,67,62,52,47,100,173,196,197,193,191,193,194,193,193,192,193,192,191,191,190,189,185,183,65,70,66,62,56,53,67,108,153,189,188,186,188,189,191,192,193,193,193,192,192,192,191,190,188,188,185,183,30,0,62,114,116,137,163,178,179,178,182,185,188,189,190,190,191,191,191,192,192,191,191,191,188,186,184,182,18,0,101,174,168,176,176,174,178,183,187,189,191,192,194,194,194,193,193,192,190,189,189,187,184,182,183,181,0,0,110,142,129,130,129,129,128,129,127,123,122,124,124,123,119,116,116,114,110,107,105,102,99,94,70,60,0,0,76,82,81,84,83,83,85,85,82,83,83,84,85,81,81,80,78,79,79,78,76,73,72,39,0,0
19,190,191,192,195,194,196,198,198,199,199,200,199,198,198,197,199,200,196,196,195,195,194,193,193,192,191,190,190,191,193,194,196,197,198,200,200,200,200,200,200,199,198,198,180,182,200,197,197,197,197,197,196,194,193,192,192,192,194,196,198,200,200,201,201,202,202,202,201,198,208,203,161,117,186,202,197,198,198,198,197,195,193,192,193,192,195,198,199,200,201,202,202,201,201,202,203,198,219,202,167,111,155,210,197,199,199,198,198,196,195,195,194,194,197,199,200,201,202,204,205,204,203,204,204,202,223,197,170,113,144,211,198,200,199,199,199,197,196,197,196,196,199,200,202,204,204,206,206,206,205,206,205,206,222,186,160,105,138,213,200,202,201,199,197,199,197,198,197,198,200,202,205,205,205,206,206,206,207,207,205,210,222,172,136,100,141,212,195,198,191,204,211,184,199,199,199,198,201,204,205,206,207,207,207,206,207,207,204,209,216,184,163,179,197,203,191,209,192,231,241,145,198,199,200,200,203,204,205,207,210,210,208,207,207,212,215,212,205,205,203,220,224,210,195,208,199,188,171,154,206,200,200,202,204,205,207,209,209,210,209,215,223,228,234,230,212,191,183,183,182,169,152,144,143,142,159,199,203,203,202,205,206,207,210,208,216,219,214,227,235,234,225,209,199,190,182,146,112,132,150,171,183,203,210,205,204,204,202,206,207,209,209,215,236,225,220,218,217,217,214,215,214,213,217,168,113,207,212,214,211,208,205,205,204,204,203,206,208,212,208,224,239,228,225,217,220,226,227,223,216,213,202,159,100,197,211,207,208,208,206,206,205,204,204,208,210,213,211,221,239,227,219,223,231,230,231,222,210,206,187,141,89,158,220,207,211,208,207,207,206,205,205,210,212,213,212,221,234,213,210,216,225,229,216,206,215,220,220,162,93,111,214,212,211,211,209,207,207,206,206,211,213,216,213,229,222,206,207,208,196,196,216,231,222,214,223,162,96,90,194,217,212,211,211,210,210,208,207,211,214,216,215,228,207,208,213,210,196,218,229,214,204,206,198,146,101,79,176,222,212,212,213,211,211,211,210,211,214,217,217,220,222,227,224,228,234,230,217,209,203,191,168,126,96,78,192,219,213,214,213,213,213,211,210,212,216,218,218,216,238,237,224,221,223,222,209,193,188,203,210,167,81,142,225,214,214,214,215,215,214,212,211,214,215,218,220,216,229,239,217,210,201,174,167,205,227,226,226,189,94,173,227,214,217,215,216,215,213,213,213,214,218,219,221,221,214,227,211,204,194,189,213,237,217,194,190,167,97,124,229,216,218,216,217,216,214,213,213,215,217,220,222,224,217,217,231,228,221,227,228,212,194,182,171,139,78,155,230,217,219,218,217,215,214,214,213,215,217,220,222,226,221,214,232,232,209,208,209,196,180,161,127,121,161,215,223,220,220,220,218,217,216,216,214,215,217,219,222,226,222,211,219,220,196,196,188,169,147,114,84,195,234,221,222,221,220,220,219,218,218,217,215,214,217,219,221,224,220,204,213,210,183,174,156,133,112,98,87,178,230,219,220,220,219,219,218,217,216,216,214,216,218,220,222,224,224,199,203,203,176,161,159,144,105,100,88,129,234,220,221,221,219,218,218,218,217,216,214,217,219,221,223,225,223,202,196,194,174,153,137,121,102,99,87,127,233,221,221,221,219,218,219,219,217,216,215,217,220,222,224,226,220,201,202,188,184,161,134,112,106,102,86,136,236,222,223,222,220,220,220,219,218,218,216
24,160,162,163,165,166,169,170,170,170,172,170,171,170,171,169,168,169,169,168,167,167,166,165,163,163,163,163,162,161,162,165,167,168,169,171,172,171,172,171,172,171,172,170,171,171,170,169,169,168,168,167,167,165,163,162,161,162,163,165,166,172,171,171,173,173,173,173,173,173,173,173,173,172,170,170,170,170,169,168,168,166,163,163,162,163,165,166,171,152,168,173,174,174,174,175,174,174,174,174,173,173,171,170,170,169,170,168,168,167,166,164,164,165,166,169,183,115,157,178,174,174,175,176,175,175,174,174,173,174,173,172,172,171,170,170,169,168,166,166,167,166,167,174,172,107,159,178,175,176,176,177,179,176,174,176,175,175,174,173,173,172,171,170,169,168,167,167,168,166,166,176,169,107,158,179,176,177,177,173,169,180,177,176,177,176,174,173,175,174,176,174,170,169,169,168,168,168,167,178,174,109,159,183,177,179,182,179,136,141,179,178,176,177,176,175,165,153,140,164,174,170,169,169,168,168,169,178,171,112,147,178,175,150,175,187,164,109,119,180,179,177,176,157,126,112,97,138,178,171,170,170,170,169,169,177,168,167,165,165,190,133,141,193,169,113,87,138,186,178,171,129,98,106,144,168,176,173,172,172,171,170,170,177,186,201,181,183,195,150,128,190,162,104,82,99,174,185,157,108,101,171,181,177,175,174,173,173,172,170,173,177,178,206,183,189,197,152,101,154,128,98,72,98,166,171,129,97,152,185,175,176,176,175,174,174,173,172,174,176,184,209,185,198,204,149,98,61,120,152,138,159,167,136,102,120,186,178,179,178,178,176,176,174,173,172,175,175,204,202,169,173,187,128,86,100,187,186,174,161,155,121,97,167,186,180,180,180,179,177,176,174,175,173,174,180,193,179,156,123,125,105,148,205,197,179,162,145,133,112,124,188,181,182,182,180,180,179,177,176,175,175,173,189,191,177,159,136,99,170,219,204,196,176,150,130,119,104,161,190,182,182,182,182,180,180,179,177,176,176,173,197,205,183,160,151,173,222,208,203,191,163,137,120,112,110,182,187,183,183,182,182,182,180,180,179,177,176,174,204,208,189,177,187,218,216,209,198,178,149,121,119,98,138,194,185,185,186,185,183,183,181,180,179,178,176,174,208,210,195,195,213,219,210,203,186,161,131,116,109,108,183,191,187,186,186,185,184,182,182,181,181,179,176,174,207,214,200,207,221,210,191,182,166,140,121,113,103,168,194,188,188,188,186,185,184,183,183,182,182,180,178,175,205,220,203,196,202,196,178,162,148,124,115,99,160,197,189,188,188,188,187,187,186,185,183,182,181,181,178,176,198,213,196,193,201,199,182,164,144,120,93,119,195,191,192,191,189,188,187,187,188,186,185,183,183,182,177,179,188,193,182,196,201,196,181,160,139,109,78,155,197,191,192,192,191,189,187,187,187,187,186,186,185,182,177,180,182,189,195,201,195,189,181,157,133,98,89,179,196,192,193,193,193,191,189,188,188,187,187,185,185,183,176,179,179,198,206,192,191,185,174,153,131,95,98,189,193,192,192,192,191,189,188,188,188,187,187,185,185,183,175,178,178,203,203,183,195,176,166,152,129,101,92,183,193,191,191,192,189,188,189,189,188,186,186,185,183,182,176,179,177,208,205,182,196,172,169,152,125,102,87,174,196,192,192,192,190,189,188,188,188,186,186,185,183,182,175,179,179,209,207,187,196,179,166,150,124,104,84,165,198,192,194,191,191,190,188,188,187,187,187,185,184,183
18,121,122,124,126,128,132,136,138,140,143,146,147,148,151,151,153,155,154,155,156,156,157,157,158,157,157,157,156,121,123,125,127,129,132,136,139,142,145,146,147,149,150,151,153,155,155,156,158,158,159,159,158,158,158,157,157,122,124,126,126,129,134,138,141,144,145,147,149,151,152,153,155,156,156,157,158,159,159,158,161,160,159,158,158,122,125,126,127,130,134,139,143,145,146,148,150,151,153,154,156,157,156,157,159,159,160,159,123,160,159,159,159,123,125,127,129,132,133,138,143,145,147,149,151,153,155,156,157,157,157,159,160,157,174,162,88,110,172,163,159,125,127,128,129,133,136,140,143,146,148,151,152,153,156,157,157,157,158,160,166,150,168,166,111,82,119,149,165,125,127,129,130,134,138,142,145,147,149,152,153,154,157,160,157,162,142,118,141,147,142,178,148,117,83,79,118,126,128,129,131,135,139,142,145,147,149,151,153,155,156,142,161,173,135,121,79,127,143,177,160,125,116,114,81,126,128,130,131,134,138,142,145,149,151,152,149,162,163,124,99,158,146,132,86,106,142,151,156,142,127,114,97,127,129,131,132,136,139,143,146,150,153,152,155,177,165,147,88,131,164,126,95,74,135,110,107,141,137,115,103,127,129,131,134,137,140,144,148,151,153,151,180,190,170,152,108,103,164,128,101,59,103,96,62,164,159,128,108,128,131,132,134,138,142,145,149,152,154,157,179,188,177,151,117,81,152,122,91,50,59,75,62,155,171,137,107,128,132,132,135,139,142,146,149,153,149,167,192,178,161,153,113,70,115,100,77,55,38,48,39,147,166,144,108,129,131,133,135,139,143,147,150,153,154,187,185,170,137,119,89,65,90,83,75,39,34,94,85,161,172,135,107,130,133,133,136,140,144,147,152,149,169,194,161,153,134,77,70,65,86,95,66,64,147,169,136,133,154,119,101,132,133,134,137,141,146,149,153,151,165,205,183,145,111,86,88,62,111,122,109,170,175,159,142,100,132,108,98,132,133,134,137,142,146,150,153,154,163,204,188,159,112,105,104,63,118,146,177,181,158,137,143,105,107,112,94,132,134,135,139,142,147,151,155,152,171,205,189,167,142,126,127,103,114,190,184,163,144,129,136,130,94,109,83,133,135,135,139,143,147,151,156,153,178,204,184,151,142,121,109,129,190,188,168,152,144,139,135,134,99,91,75,134,135,136,139,144,148,151,156,153,183,202,177,153,143,122,120,164,195,180,160,154,152,130,132,126,95,74,58,134,136,136,140,145,150,152,155,154,185,197,176,154,157,126,155,169,181,172,152,154,139,115,131,115,85,67,40,135,137,137,141,145,149,153,157,155,185,193,179,171,160,132,145,164,160,161,143,143,125,119,128,97,76,47,87,135,137,138,141,146,150,153,157,156,182,190,176,177,151,128,122,149,147,148,140,134,120,119,100,78,59,56,166,134,136,138,142,146,151,155,158,157,182,191,181,174,141,107,129,138,145,147,138,130,114,98,72,65,40,134,184,135,137,138,143,147,151,154,159,159,177,186,181,153,117,110,136,136,147,148,138,119,105,84,71,46,86,186,175,137,137,137,142,147,151,153,158,159,179,175,165,152,144,142,139,135,152,144,126,103,93,80,57,49,166,181,175,137,137,139,142,147,155,160,157,162,192,187,182,179,168,154,137,128,147,136,115,94,81,68,46,144,185,176,179,137,138,141,144,152,135,124,153,169,194,186,187,177,163,143,136,126,139,128,108,90,76,48,112,192,176,179,179
4,156,158,159,163,164,167,170,171,171,173,174,174,175,176,177,176,176,176,175,174,175,174,174,174,173,172,172,172,156,159,160,164,165,168,170,171,172,173,175,175,176,178,178,177,177,178,177,175,176,174,174,174,175,174,173,173,157,160,162,164,166,168,170,172,173,174,176,176,176,178,179,178,178,178,178,178,177,176,176,175,175,175,174,172,158,161,164,166,168,170,171,173,175,175,176,177,178,185,175,167,179,181,171,176,179,178,178,177,176,174,174,174,160,162,165,167,169,171,173,174,175,177,179,176,193,199,172,146,177,185,156,146,178,179,179,179,177,176,175,175,160,163,166,168,170,172,174,176,175,203,203,176,180,208,173,148,191,186,156,117,165,165,168,180,179,177,176,176,161,165,167,170,172,173,175,176,186,228,226,187,146,203,176,147,205,188,147,136,174,140,122,169,179,177,178,177,163,166,167,171,174,174,177,175,202,222,222,176,135,196,178,154,200,185,171,180,152,124,96,136,181,179,179,179,164,166,169,172,174,176,177,179,216,202,209,162,120,176,186,187,193,209,224,195,135,99,90,126,182,181,181,180,164,168,171,173,175,178,177,188,219,192,195,167,104,158,171,188,204,215,211,192,155,103,81,135,184,182,181,180,165,168,172,173,176,178,178,209,215,183,175,164,97,143,144,127,171,189,183,194,170,120,84,148,185,182,182,181,165,169,172,174,176,177,186,222,195,165,153,126,96,143,140,100,169,152,165,206,182,137,99,165,185,183,182,182,167,170,173,175,177,176,198,225,186,152,140,125,113,127,125,107,161,128,146,223,199,153,109,169,186,184,183,183,167,171,173,176,178,176,212,228,186,148,129,114,115,120,123,132,147,153,170,219,207,161,111,139,187,186,185,184,167,171,174,177,180,179,224,226,185,145,126,114,118,119,142,165,180,204,205,198,192,158,122,115,184,187,186,185,169,171,175,178,180,183,232,226,180,143,139,126,117,118,159,189,208,209,202,184,157,156,128,119,183,187,187,186,168,171,175,178,179,190,237,223,180,158,160,137,127,156,202,216,212,207,190,164,135,133,113,140,188,187,187,186,166,170,173,177,178,193,239,223,192,187,174,146,177,215,231,224,209,198,174,148,125,110,109,169,188,188,187,186,168,171,174,177,179,196,239,231,211,201,185,157,205,228,234,227,196,182,160,140,118,100,136,188,188,189,187,187,168,171,175,178,179,196,240,237,219,199,189,167,212,232,230,216,181,164,149,134,111,107,174,190,190,190,188,187,169,172,175,179,180,189,237,235,220,199,186,179,213,227,214,196,169,150,140,121,100,142,190,191,190,189,189,188,170,172,176,179,181,185,231,226,212,202,188,183,201,208,193,173,155,148,135,107,111,180,193,192,190,189,188,187,169,172,176,179,182,185,226,214,204,205,193,183,193,200,184,162,144,140,124,102,155,193,192,191,190,189,188,186,168,172,175,179,182,184,220,206,203,203,189,172,188,200,179,149,130,128,112,132,189,194,193,191,190,189,189,187,160,163,165,168,172,172,217,213,207,197,185,170,180,197,166,133,120,116,112,161,177,177,177,175,174,174,173,170,116,116,116,116,118,118,208,224,216,202,188,173,171,191,158,125,114,106,100,110,110,109,109,108,108,109,107,122,103,104,104,104,106,103,198,235,221,206,196,176,160,187,162,123,106,100,98,97,96,96,95,95,94,95,134,192,108,108,109,110,111,105,186,235,219,202,195,176,151,181,162,120,103,97,100,101,100,99,99,99,96,140,206,210
7,235,235,236,235,234,235,235,236,235,234,232,232,228,201,230,226,211,196,189,183,167,154,144,110,92,60,101,207,237,238,238,238,237,237,237,236,236,237,236,234,234,222,227,232,214,191,165,157,138,114,100,80,76,54,114,214,239,239,240,240,240,241,240,240,240,240,238,238,234,223,231,231,220,203,163,134,105,85,72,65,62,64,116,216,241,242,242,243,243,243,243,244,243,242,238,237,243,230,227,230,223,219,214,201,172,131,93,72,77,70,116,217,241,242,242,242,243,243,244,244,243,242,241,244,205,210,233,227,221,223,226,219,221,176,113,90,89,76,119,219,244,243,244,243,243,243,244,244,244,244,246,237,155,174,243,233,224,225,228,216,221,177,93,96,95,86,112,220,245,245,244,246,246,245,245,245,245,242,252,209,173,240,211,226,227,217,229,220,213,158,97,101,102,100,77,131,248,247,248,246,247,248,248,249,250,250,249,207,246,255,221,168,213,214,216,210,194,145,106,104,107,103,66,80,250,249,250,250,250,253,254,247,237,227,228,255,255,255,255,219,172,198,210,204,188,157,120,110,112,103,62,79,249,250,252,254,251,240,223,208,197,182,141,136,166,194,205,197,169,154,173,188,185,163,128,118,117,99,82,170,255,252,242,230,214,200,199,194,192,181,134,104,123,143,146,141,150,150,130,132,148,143,132,128,115,93,116,209,224,212,201,196,196,201,198,192,189,167,130,121,121,130,138,142,146,148,131,115,130,119,127,126,121,101,151,161,201,204,208,206,203,206,205,207,198,176,136,115,124,134,138,136,142,140,123,116,121,122,131,129,162,136,192,124,212,209,209,204,207,212,213,208,201,185,133,105,123,137,150,145,145,141,133,127,119,135,125,124,144,138,133,64,207,208,212,213,210,206,206,199,193,161,117,118,128,132,136,137,137,135,134,123,123,141,130,127,121,137,149,121,218,217,212,211,207,208,207,200,195,160,106,105,104,99,103,108,116,119,114,121,117,123,124,117,117,125,144,129,216,216,210,209,210,212,200,197,211,183,105,90,92,86,121,133,119,170,197,152,154,108,106,123,115,109,98,97,205,208,210,205,204,202,193,201,206,167,109,97,101,96,96,110,121,146,159,133,118,129,134,137,79,91,115,86,197,196,203,200,194,192,190,192,187,144,103,105,105,103,98,94,196,206,137,112,111,142,200,93,38,54,128,141,191,190,190,193,192,189,188,190,190,137,95,83,100,112,96,126,180,109,134,112,109,147,140,43,93,79,117,179,188,190,186,191,191,189,189,189,190,136,90,75,78,97,90,102,119,95,103,101,105,116,110,120,126,114,131,176,190,182,172,174,173,171,174,173,159,123,91,82,92,105,100,98,156,105,160,141,124,109,153,110,89,93,130,170,170,173,159,145,140,139,138,131,107,99,98,144,138,116,131,108,134,137,174,100,86,72,152,123,99,111,99,134,148,154,140,125,116,121,123,120,151,209,210,213,174,141,134,128,93,93,151,82,103,68,96,145,96,116,89,102,138,139,155,165,172,180,219,192,203,213,215,179,199,226,225,133,106,91,119,122,94,82,147,101,97,118,87,100,187,139,243,255,245,209,245,148,206,183,208,220,211,208,232,175,87,147,106,104,80,139,235,137,96,118,98,94,190,147,209,241,243,225,225,128,191,160,197,214,208,209,212,200,148,198,190,131,56,167,217,152,144,193,129,90,157,165,226,246,252,255,223,174,123,143,198,205,196,173,185,194,205,185,206,159,67,159,188,145,182,213,171,103
5,140,145,148,151,153,155,157,158,160,162,163,164,164,168,168,170,171,172,174,174,174,176,177,176,176,177,178,177,141,146,149,151,154,157,158,159,161,163,164,165,168,169,170,170,171,174,175,175,177,177,177,177,177,178,179,178,142,146,150,152,155,158,159,160,162,164,166,166,147,168,171,171,173,175,176,176,170,176,177,178,178,178,178,178,143,147,151,153,156,159,157,163,164,164,166,178,125,157,174,172,175,176,174,183,143,159,181,178,178,179,179,179,144,148,151,153,157,160,171,141,160,167,167,183,127,153,177,173,175,175,177,185,128,154,184,178,180,181,181,180,145,148,152,155,159,156,186,148,137,171,168,189,135,154,178,174,176,176,184,157,119,176,181,181,182,182,182,181,146,149,153,156,160,157,174,171,127,169,172,188,140,152,178,174,176,184,181,123,143,187,180,183,183,183,182,182,147,151,154,157,161,160,169,195,143,158,178,175,127,151,180,175,178,183,155,125,180,183,182,184,184,183,183,183,147,152,155,158,162,162,164,206,162,143,181,166,132,150,182,172,172,154,117,156,188,182,183,184,185,185,184,184,149,153,156,159,162,163,162,197,186,136,175,162,144,146,180,167,164,116,135,188,184,184,185,185,187,186,186,185,149,153,157,160,163,164,163,178,204,172,154,152,146,136,161,163,154,119,178,185,184,185,185,186,187,186,187,186,150,154,158,160,163,164,166,168,199,201,165,132,139,122,133,155,132,141,189,184,186,187,186,186,187,187,188,185,149,154,158,161,163,164,166,167,182,210,187,148,123,119,122,127,119,171,188,186,186,185,186,188,189,189,188,188,149,154,158,161,163,164,166,169,170,205,194,158,124,113,116,114,122,186,182,179,176,175,179,181,179,179,183,182,150,155,159,162,164,165,168,170,168,200,198,158,123,110,109,111,122,153,170,171,164,175,188,183,178,178,170,143,151,156,159,162,165,166,169,171,170,208,196,161,129,107,106,110,125,134,153,155,132,134,151,146,149,165,156,124,152,156,159,162,165,166,170,169,177,217,188,156,128,109,106,111,122,126,120,123,133,164,167,167,168,173,146,137,151,155,160,164,165,166,170,166,193,217,179,153,125,109,107,110,112,115,142,168,188,195,192,178,176,147,139,186,151,156,160,164,166,168,171,168,208,207,174,149,121,108,109,112,101,149,194,196,191,182,166,168,161,125,188,193,152,156,160,164,165,168,169,178,218,202,170,138,120,106,107,116,126,145,150,170,169,165,174,171,132,145,198,188,153,157,161,164,165,169,166,194,217,193,161,138,123,105,109,122,139,149,145,142,162,171,167,142,141,184,193,191,153,157,162,164,165,168,168,209,211,184,155,144,127,103,118,143,155,160,152,147,163,147,139,166,194,195,193,192,153,157,162,164,166,165,180,217,206,181,155,147,128,104,126,156,157,159,155,136,127,145,184,197,192,192,192,191,154,157,161,164,167,164,202,214,199,178,156,143,127,106,133,160,151,158,144,118,155,194,194,191,192,192,192,192,154,158,162,166,163,180,216,203,194,175,144,133,120,107,140,155,146,145,132,173,196,191,192,193,193,193,193,192,154,158,162,165,163,202,207,193,186,164,133,128,113,115,137,141,141,133,178,195,191,193,193,192,193,193,193,192,154,158,163,162,183,205,195,187,185,163,124,121,115,121,124,129,144,178,194,190,192,193,193,193,193,193,193,193,154,158,162,164,206,197,190,182,190,158,113,122,124,114,115,152,189,192,191,192,192,193,193,194,194,193,193,193
18,177,178,180,180,180,181,182,182,181,181,181,181,179,178,178,177,176,177,176,175,173,172,172,170,168,167,166,165,179,180,180,180,182,183,184,184,183,185,184,181,180,179,178,178,178,179,178,176,175,174,172,171,169,169,167,166,180,180,181,182,183,185,185,185,185,185,185,184,183,185,187,183,181,183,184,183,176,175,176,173,170,169,167,166,181,182,183,183,186,186,186,186,187,186,186,185,187,174,149,174,187,158,131,149,184,178,166,174,176,170,169,169,181,183,185,186,187,187,188,189,188,188,190,191,190,155,108,101,152,146,108,74,147,150,114,106,160,176,171,172,182,183,187,187,187,188,190,189,190,184,153,155,186,161,130,96,105,179,117,96,77,120,114,75,94,182,172,172,184,185,187,189,188,189,190,189,194,184,142,121,127,174,138,109,90,167,126,108,101,97,109,94,61,158,178,171,187,188,188,190,190,190,191,192,195,190,167,151,113,133,159,113,85,120,141,123,116,107,126,109,59,150,181,173,188,188,189,190,191,193,194,194,193,175,183,150,133,93,141,123,94,91,145,134,121,120,118,103,59,155,182,175,188,188,189,190,191,193,194,194,202,151,148,152,120,67,113,131,93,75,128,120,117,115,116,104,57,142,186,176,188,188,190,192,193,194,194,198,193,128,100,153,92,56,94,105,73,61,110,82,98,148,141,111,64,124,190,177,188,190,192,193,195,195,194,200,189,150,117,141,94,61,83,84,64,53,84,63,75,171,148,120,74,105,191,177,190,192,193,193,195,196,194,201,196,174,134,125,112,71,81,95,69,51,83,66,53,143,157,130,88,81,188,179,192,192,194,194,195,196,195,201,196,162,130,104,92,59,82,104,65,50,75,109,150,150,174,144,99,63,174,184,192,193,195,196,196,197,196,202,181,142,120,99,77,62,65,70,58,65,104,166,174,159,154,141,97,57,160,189,193,194,196,196,196,199,198,201,193,168,141,115,90,86,80,78,101,132,167,178,169,163,136,118,87,56,167,187,194,194,195,197,197,200,199,201,198,176,149,117,90,85,93,111,138,163,185,184,163,146,126,98,68,77,189,183,194,195,195,197,199,201,201,201,199,182,156,126,105,97,97,109,157,180,191,179,152,135,117,90,48,122,196,182,196,196,197,198,200,200,202,201,198,186,162,137,116,107,100,121,177,186,185,170,145,125,110,79,52,171,191,184,195,198,198,198,201,201,202,200,193,182,160,138,124,114,107,131,186,180,174,161,140,117,102,63,82,196,187,187,195,198,199,199,201,201,203,200,186,173,162,143,128,127,114,138,180,175,164,145,132,112,93,48,127,200,186,187,196,199,200,201,200,202,203,203,187,174,165,148,136,138,119,144,172,171,158,133,120,102,79,50,173,193,187,187,198,199,200,202,204,204,205,207,196,172,165,156,144,135,115,139,167,161,150,129,106,91,55,90,201,187,189,189,198,200,201,203,204,203,205,207,203,180,171,162,148,133,115,124,156,150,136,115,94,78,43,160,199,191,190,189,199,201,202,203,203,204,205,206,206,192,177,164,153,142,127,121,140,140,123,103,87,51,86,204,192,192,191,190,199,199,202,204,204,206,205,205,205,200,186,168,151,138,130,122,132,133,116,97,75,41,162,202,193,192,191,190,201,201,202,203,204,206,205,205,204,202,190,164,150,146,144,138,128,126,109,92,54,93,205,193,194,194,193,191,202,202,203,204,204,205,206,207,203,201,189,169,163,161,147,137,122,121,101,80,49,153,205,195,195,194,193,192
17,154,160,162,169,175,180,183,188,191,193,196,198,200,201,201,199,200,200,198,191,200,197,197,197,197,195,192,191,157,161,164,171,177,182,187,190,193,196,198,200,201,202,203,204,199,208,210,137,183,203,198,198,198,195,193,193,158,163,165,171,178,184,189,191,195,198,200,202,203,204,206,203,215,207,147,104,166,210,200,199,198,197,197,195,160,164,168,173,180,188,190,192,197,199,202,206,206,208,209,203,226,220,158,77,162,213,202,202,200,199,198,197,161,165,169,175,182,189,191,196,199,202,204,206,209,208,210,206,220,226,191,94,170,213,203,204,203,201,200,198,163,168,170,177,184,189,194,198,200,204,206,208,209,210,211,209,215,241,212,127,183,214,206,206,205,204,203,200,165,168,173,179,185,191,196,198,203,206,207,210,212,213,213,212,219,251,221,149,179,217,208,208,206,206,204,202,167,170,174,180,187,193,196,200,204,206,209,212,213,214,214,212,222,255,224,154,155,221,210,211,207,207,207,205,168,172,175,183,189,194,198,202,206,209,212,214,216,220,217,213,237,255,239,173,130,219,212,213,211,209,208,206,169,173,176,185,191,195,200,205,207,210,214,214,193,197,222,219,251,254,234,181,123,214,216,214,213,212,209,207,172,175,179,186,192,197,203,206,210,213,219,219,179,114,209,238,208,217,225,174,118,208,218,215,214,214,213,210,172,175,180,187,194,198,204,207,209,206,221,209,180,91,132,181,158,208,221,177,110,206,221,216,216,214,213,213,174,176,181,188,194,200,203,211,220,221,224,182,173,157,113,100,164,223,202,181,116,204,224,218,217,216,215,215,175,178,183,192,197,203,203,224,241,227,247,224,218,195,130,87,161,206,191,175,121,191,228,219,217,218,217,216,176,179,184,193,198,205,206,224,239,174,211,238,219,190,167,114,105,153,167,158,113,172,233,220,221,220,218,217,177,180,185,193,199,206,210,215,230,188,116,140,180,200,198,160,100,88,120,131,107,160,235,221,222,222,220,219,178,181,188,195,201,207,213,214,232,210,146,72,112,169,217,188,148,104,87,112,97,169,237,222,224,224,221,220,180,181,188,197,202,209,213,218,247,223,239,119,107,184,232,196,170,139,89,86,79,178,237,224,226,225,223,221,181,183,189,197,203,210,216,215,255,244,190,139,144,255,236,203,176,148,85,67,67,194,236,226,227,225,224,222,182,184,190,199,206,212,218,215,255,238,176,184,226,255,232,184,175,134,81,65,81,227,232,229,228,227,226,224,182,185,191,199,206,213,218,217,255,231,212,206,255,223,220,192,152,130,84,56,148,246,228,230,229,229,228,225,183,185,193,201,208,213,219,221,254,248,213,217,255,226,218,216,160,110,80,65,214,240,231,232,230,229,229,226,184,186,193,202,208,215,221,222,248,255,214,225,253,221,199,194,147,95,71,87,237,234,234,233,232,230,229,228,184,187,193,202,210,216,221,221,241,255,219,208,228,189,172,154,107,86,62,130,251,233,236,234,231,231,230,230,184,188,195,202,210,215,222,224,235,248,204,175,194,176,156,126,95,90,65,202,249,236,237,235,234,232,231,230,183,186,194,202,208,215,222,222,235,241,171,161,182,193,167,130,105,75,113,248,237,238,237,236,235,233,232,230,182,184,193,202,206,223,149,46,195,236,210,210,192,197,181,130,103,68,186,248,237,239,236,235,233,232,231,230,183,185,193,201,214,195,96,39,137,236,215,200,192,190,178,134,90,84,224,241,238,238,237,236,234,232,231,230
21,137,141,144,147,149,150,151,152,153,154,155,155,155,153,153,154,154,151,150,150,148,148,148,147,145,145,144,142,139,142,145,148,150,151,152,154,155,156,157,157,157,156,155,153,148,153,152,152,151,150,150,149,147,146,146,145,140,143,146,149,151,151,153,155,157,158,158,158,158,157,159,165,96,124,159,152,152,151,151,150,148,147,147,146,142,144,148,150,152,152,154,157,159,159,159,159,160,157,164,166,84,117,162,154,154,153,154,152,151,148,148,148,143,146,149,152,153,154,156,158,160,160,160,160,161,158,171,156,87,127,163,156,157,153,149,155,153,151,150,150,143,147,150,151,154,156,158,159,160,162,161,162,164,158,176,153,88,134,165,156,156,142,99,132,159,152,152,151,145,148,151,153,156,158,158,159,161,162,164,164,165,162,179,149,92,145,163,157,153,130,78,123,161,153,154,152,146,150,153,155,157,159,159,161,163,164,166,166,165,165,179,143,90,150,164,159,148,125,84,149,157,154,153,153,146,150,153,156,158,159,161,164,164,165,165,165,163,169,178,139,86,149,166,158,146,110,98,161,155,156,154,154,148,152,154,157,159,160,162,164,164,166,166,167,162,176,180,130,84,156,163,150,144,94,128,165,156,157,156,155,149,154,156,158,160,162,163,165,166,166,164,163,164,186,176,118,96,169,154,146,128,86,153,162,159,158,158,156,150,153,157,159,160,163,165,166,165,171,165,121,117,171,150,97,101,171,150,149,100,103,169,161,160,161,159,158,151,153,157,160,162,165,166,166,166,170,168,128,94,93,92,73,114,168,154,137,84,143,169,162,161,161,159,158,152,155,158,160,163,165,166,167,170,176,166,165,137,108,71,68,115,143,144,107,94,167,165,163,162,161,160,160,152,156,159,162,164,165,168,168,176,185,176,194,173,128,80,74,88,100,110,81,129,173,164,164,163,163,162,162,153,157,160,162,165,167,168,172,174,145,168,175,163,114,81,73,78,84,82,84,161,169,167,166,165,163,164,163,152,157,160,163,167,168,167,182,160,119,155,119,150,129,93,75,68,77,70,114,176,168,168,168,166,164,164,164,155,158,161,165,167,169,169,185,172,138,108,70,133,151,106,79,67,71,70,142,176,169,169,168,167,167,166,165,156,160,162,165,167,168,171,185,150,113,96,72,110,164,120,90,75,71,70,157,175,171,170,168,168,168,167,165,156,160,163,166,168,168,179,188,145,134,125,97,155,173,131,114,84,76,69,157,179,173,173,171,169,168,167,166,155,160,164,166,169,167,186,184,156,146,114,142,204,170,133,123,90,80,77,160,179,173,174,173,170,169,169,168,156,161,164,165,169,169,189,192,172,133,127,198,191,153,125,121,95,83,86,168,176,174,173,174,172,171,171,168,156,161,164,166,170,170,192,203,161,134,144,204,178,151,120,108,99,82,97,177,174,174,174,173,173,172,170,168,157,162,166,168,171,169,194,188,146,151,148,201,175,153,135,95,91,79,115,182,175,176,176,174,173,172,170,169,157,160,164,166,169,170,188,167,168,160,145,201,170,144,130,98,89,79,136,183,176,176,175,175,174,173,172,170,156,159,161,165,168,170,176,177,194,156,158,191,156,131,112,96,91,83,152,181,175,175,173,173,172,171,170,168,156,160,163,166,169,172,172,183,184,146,144,172,143,117,96,91,86,93,167,180,176,175,175,173,173,172,171,169,157,161,164,166,169,172,174,178,166,145,133,155,140,113,102,92,80,103,179,178,177,176,176,174,173,172,172,170
11,174,178,180,183,185,187,189,190,191,192,192,191,191,191,191,192,191,191,190,188,188,186,186,184,182,180,179,178,176,178,182,185,186,189,191,192,193,193,193,194,192,194,194,192,192,191,191,190,189,187,186,185,185,182,181,182,179,182,184,186,188,191,192,194,196,195,195,195,200,173,186,196,193,193,192,191,189,190,189,187,186,183,185,163,181,184,186,189,191,194,195,196,198,198,199,192,220,166,153,204,194,195,194,192,192,192,190,188,187,187,186,106,184,188,189,192,194,196,197,199,200,200,201,194,229,175,138,206,196,198,197,195,195,193,192,190,188,194,154,80,186,191,192,194,197,199,199,201,203,203,203,197,238,165,136,209,199,199,198,197,197,196,193,192,190,196,122,83,188,191,194,198,200,202,203,205,206,209,201,209,255,154,148,212,201,202,201,200,198,197,196,195,196,192,107,89,191,195,198,200,202,204,205,205,207,199,215,204,234,152,163,216,203,205,204,202,202,200,199,199,198,198,131,100,193,197,200,202,204,208,203,228,218,143,198,175,130,173,137,195,212,206,206,205,204,202,202,201,198,206,154,101,196,198,202,204,208,204,227,251,227,184,127,155,119,140,123,168,219,207,208,207,207,204,205,205,202,206,177,98,197,201,204,207,207,221,255,209,214,214,141,130,126,151,132,173,220,210,210,210,209,209,207,205,205,204,203,120,199,203,206,206,213,255,235,170,166,209,139,121,119,153,133,178,222,212,213,212,212,211,208,207,207,204,208,163,201,204,208,204,240,255,200,163,181,193,110,127,119,145,128,188,223,216,216,215,214,213,211,211,209,207,208,186,202,206,210,206,253,244,185,138,160,165,105,129,115,140,120,206,223,218,217,217,216,214,212,211,211,209,211,177,204,207,212,207,255,248,203,156,114,117,130,111,122,137,130,224,219,220,218,217,219,217,216,216,213,210,211,200,205,208,212,212,255,247,195,145,109,94,142,103,148,142,107,210,229,221,224,224,217,209,203,202,213,218,211,210,206,209,212,219,255,244,193,151,119,100,113,98,148,134,90,129,217,219,205,183,171,163,160,148,139,187,218,210,209,213,212,226,255,239,197,162,128,112,114,115,132,134,132,130,138,153,156,170,177,160,137,134,116,155,222,211,210,215,214,226,255,236,197,164,135,116,119,156,180,180,168,158,141,148,165,160,140,127,154,198,208,211,216,214,212,216,216,228,255,239,204,171,141,120,129,177,177,167,161,157,143,133,127,137,174,199,225,227,224,220,217,216,213,217,217,234,255,242,213,174,152,130,143,172,170,162,148,144,121,115,167,223,232,230,224,222,222,220,218,216,214,220,214,247,255,244,211,172,154,137,144,156,160,152,135,117,140,207,237,230,226,226,226,224,224,222,219,218,217,217,221,255,255,230,195,161,144,136,144,143,149,143,114,167,234,236,230,231,229,228,227,225,225,224,221,219,217,217,255,255,244,218,183,155,139,140,143,135,129,120,179,243,233,231,232,232,231,229,228,226,226,225,223,220,213,229,255,255,231,210,179,159,145,139,137,118,149,214,243,235,234,233,232,232,231,230,229,229,226,225,224,222,212,243,255,250,207,179,171,157,142,133,113,142,236,243,236,237,236,235,234,234,232,231,230,230,228,226,225,223,216,254,255,242,187,158,153,146,132,119,124,223,242,237,239,238,236,236,234,234,234,232,231,229,229,227,225,223,230,255,255,229,166,152,146,138,123,110,193,249,241,242,240,239,238,237,236,235,234,233,232,231,229,228,227,225
5,112,115,119,120,121,123,124,124,125,127,127,126,127,128,128,127,132,130,127,128,126,126,125,124,122,121,122,120,116,120,123,123,124,127,128,129,129,130,132,132,132,133,132,132,100,127,132,130,131,129,129,127,126,125,125,123,121,124,128,128,129,131,133,133,133,134,136,136,133,136,137,153,72,102,144,134,136,135,133,131,131,130,128,127,126,129,132,133,133,135,137,138,137,139,139,138,140,100,115,166,80,77,151,138,139,138,137,137,135,134,132,131,130,132,136,138,139,140,141,142,141,144,144,141,157,97,78,173,78,59,157,141,143,141,141,139,138,138,137,135,134,136,142,143,142,144,146,146,147,147,148,145,164,112,65,167,78,62,160,145,147,145,144,143,141,141,140,139,136,138,144,145,146,149,149,149,144,148,153,149,167,117,53,163,93,70,162,150,151,151,149,147,146,145,145,142,141,142,146,149,149,153,151,159,116,105,162,150,169,131,57,158,82,75,166,153,155,153,157,155,148,148,147,145,143,145,150,152,153,154,153,161,128,68,161,154,173,134,43,150,74,79,170,157,157,153,114,136,158,150,149,149,146,149,153,156,156,157,155,165,153,48,154,160,171,132,32,149,101,80,173,154,161,161,112,82,158,156,153,152,147,151,155,158,158,158,160,165,152,52,152,164,164,150,45,121,116,82,171,151,140,118,151,120,116,158,156,154,151,154,158,160,160,162,163,164,171,65,129,171,158,160,53,76,119,93,168,155,132,21,112,143,82,143,164,158,154,157,162,162,164,164,164,165,177,102,95,174,160,164,57,68,117,92,155,150,118,74,151,118,86,167,162,160,154,158,163,164,165,165,167,166,161,165,119,131,158,147,83,96,101,75,121,134,88,138,171,78,128,173,161,163,157,161,164,168,169,169,168,172,155,172,157,116,120,119,91,91,90,78,124,133,93,159,148,50,150,170,165,164,161,164,165,169,170,172,171,173,167,168,184,142,111,110,80,87,84,82,117,128,110,178,118,34,166,170,168,166,162,165,168,169,171,173,174,173,174,170,199,168,97,92,72,65,76,86,114,122,110,183,112,54,180,169,169,169,163,167,170,171,172,173,174,175,177,173,202,179,103,62,62,55,72,103,125,108,100,177,113,72,184,170,171,171,167,170,171,173,174,174,177,177,178,174,196,175,112,63,61,57,90,117,139,154,115,160,114,79,186,173,172,172,167,170,171,172,175,178,179,179,181,174,191,169,112,66,54,67,106,126,161,174,131,130,89,73,186,175,175,172,169,171,173,175,177,179,179,180,182,173,192,169,122,68,54,77,122,154,161,164,146,96,45,57,186,176,177,176,170,171,173,177,178,179,181,180,184,174,188,170,127,71,56,75,134,170,167,155,120,65,8,90,192,176,179,178,170,172,177,179,179,180,182,183,186,178,179,169,126,73,64,67,145,180,164,131,94,35,34,175,185,179,180,178,172,173,178,179,180,180,183,184,188,174,161,166,126,79,74,64,142,165,138,107,70,17,135,197,182,182,180,179,172,173,177,179,180,180,184,184,189,176,153,157,117,93,80,67,125,143,123,94,31,63,196,184,187,184,182,181,171,173,176,178,179,179,181,183,186,179,150,144,110,99,74,64,114,128,112,55,15,161,193,185,187,185,184,182,170,173,176,178,178,178,180,183,186,177,155,147,115,97,76,51,97,95,66,13,121,198,183,186,186,185,183,182,171,173,177,178,179,179,182,185,190,174,162,148,103,88,79,47,74,58,13,85,199,185,188,186,186,185,183,181
2,184,184,183,184,184,184,184,182,181,180,178,178,178,175,175,173,171,171,170,167,168,167,166,164,163,163,161,158,186,186,186,186,187,186,185,184,184,184,181,180,178,178,177,177,176,174,173,175,171,170,168,167,165,163,162,161,190,189,190,190,190,188,186,186,186,185,184,182,182,183,180,175,167,159,122,140,170,171,173,168,168,165,164,163,191,192,192,191,191,190,189,188,188,188,186,185,179,173,168,159,137,112,74,60,121,138,130,174,169,168,166,164,193,193,193,193,194,193,191,191,190,190,189,184,168,164,159,125,86,63,50,59,92,105,71,160,173,169,169,166,196,196,195,195,195,194,193,193,193,193,190,174,173,154,112,57,44,45,40,42,55,63,47,86,180,171,170,169,197,198,197,197,197,197,195,195,194,194,182,179,159,96,53,39,32,41,39,30,36,45,39,110,184,173,172,171,199,199,199,200,200,200,198,196,197,191,182,177,122,52,47,39,40,34,37,63,61,67,99,174,180,176,175,173,202,202,202,202,201,201,200,198,199,186,184,158,88,47,46,41,38,63,128,181,174,178,187,183,179,178,176,174,205,204,204,204,204,202,202,202,194,184,177,120,55,38,47,38,125,191,194,189,189,187,183,183,182,180,178,176,204,204,205,206,206,205,206,199,182,193,170,104,62,47,43,57,194,194,188,189,189,188,186,185,183,182,180,177,207,206,207,207,206,206,209,182,189,199,159,102,73,54,30,135,202,191,192,192,192,190,187,187,185,184,182,180,208,208,210,209,207,210,200,177,201,187,149,104,69,44,75,202,197,197,197,195,193,191,189,189,186,184,183,182,209,209,210,211,210,212,184,183,209,178,133,90,58,37,112,213,195,199,199,197,194,192,191,190,187,186,185,183,211,210,211,211,212,207,174,199,208,161,124,88,59,36,145,213,198,199,199,197,195,192,190,192,192,190,185,184,213,212,212,211,216,191,183,214,194,141,120,86,52,45,193,206,201,201,200,198,195,196,197,188,172,173,191,185,213,213,213,214,213,179,204,210,170,135,127,82,52,38,149,217,203,201,198,198,204,189,151,127,118,107,135,189,213,213,213,218,197,188,212,191,150,147,123,75,45,48,58,116,201,206,206,202,163,109,101,115,117,89,104,188,215,215,215,216,187,200,202,178,149,144,111,65,41,52,67,56,113,209,172,127,95,92,119,116,82,126,188,190,217,216,219,205,190,199,195,168,146,135,92,53,47,65,69,71,68,88,84,91,106,107,98,70,141,199,193,189,219,218,218,194,197,196,185,156,140,118,81,49,65,79,77,76,76,64,84,97,91,76,65,142,205,194,192,191,219,221,207,198,200,193,175,152,127,107,76,56,79,79,77,76,73,68,73,67,83,136,182,204,197,198,195,193,220,214,200,204,201,191,172,136,109,105,70,64,78,76,72,70,61,44,61,133,192,213,204,197,199,198,197,194,222,200,200,190,195,186,154,119,103,89,59,67,74,75,70,48,64,112,180,215,208,204,203,203,201,199,198,195,207,193,183,187,183,165,129,93,79,63,62,66,66,58,38,87,192,221,213,207,207,206,206,204,201,199,198,196,197,190,172,180,167,154,116,79,72,63,53,39,43,64,136,215,216,210,209,208,208,207,206,205,203,199,199,198,197,182,174,181,174,159,100,78,71,54,76,131,169,207,226,215,213,213,211,209,208,207,206,205,204,201,200,198,192,179,173,180,172,148,86,75,60,83,204,230,225,217,212,214,214,211,211,211,207,206,205,204,202,201,199,197
19,159,160,162,162,161,161,161,161,160,160,160,160,159,158,157,158,156,156,155,154,153,153,153,151,150,149,148,146,160,161,162,161,162,162,162,162,161,162,161,160,160,159,158,158,158,157,155,154,154,153,153,151,151,151,148,147,162,162,161,163,165,164,164,167,166,161,162,162,162,160,159,159,159,158,157,156,155,154,154,153,152,150,148,149,162,163,165,165,165,166,157,143,149,168,161,163,163,160,161,160,159,158,158,156,156,155,155,154,152,150,149,149,164,165,165,167,161,182,175,145,107,142,170,163,164,162,162,161,160,159,158,157,157,157,155,154,152,152,151,150,165,166,166,167,164,173,200,171,130,84,156,168,164,163,161,162,161,161,160,159,158,157,157,154,154,154,152,149,167,168,167,169,167,166,196,182,145,79,105,176,164,163,162,163,162,161,160,159,158,158,158,156,155,153,152,151,169,169,168,169,169,162,189,180,136,88,73,166,166,165,164,162,162,162,159,158,159,158,158,157,156,154,153,151,170,169,170,171,168,188,185,161,134,88,68,161,172,170,167,165,164,164,161,160,161,160,158,158,157,156,153,152,170,171,172,167,197,214,183,157,157,147,128,150,152,159,168,169,167,164,163,161,159,160,159,159,158,157,154,154,173,173,169,181,207,172,138,131,151,180,186,172,155,142,134,148,160,166,167,162,161,161,160,159,159,157,154,154,173,173,171,210,202,177,127,90,102,151,182,190,187,179,152,141,134,146,154,163,165,164,161,161,159,157,156,154,175,169,197,215,194,176,157,127,101,112,138,158,171,179,176,175,170,167,143,129,142,157,167,162,159,158,158,155,175,175,207,193,167,155,148,149,155,141,129,123,122,131,149,163,176,187,179,149,131,110,133,160,163,158,157,155,171,194,217,190,149,127,128,117,154,171,158,145,123,93,93,131,135,151,160,161,153,129,118,136,149,161,158,157,177,218,222,188,160,144,140,136,132,151,170,165,146,113,96,135,169,154,145,137,136,139,146,136,121,165,158,158,193,221,206,180,161,159,163,164,158,117,111,146,146,132,120,98,167,175,172,167,157,146,137,133,149,163,159,159,209,214,192,164,140,152,182,175,178,130,93,120,106,122,125,110,169,172,172,171,172,171,165,165,164,160,160,159,210,214,190,150,126,102,142,173,191,160,138,118,107,93,95,151,176,172,172,170,168,167,167,166,163,161,160,158,219,220,179,152,141,136,126,130,118,168,173,131,126,99,145,179,172,173,172,171,170,167,167,165,164,163,160,158,222,206,175,157,151,150,149,136,120,141,151,146,111,128,181,173,173,174,173,171,170,168,167,166,166,164,162,160,212,198,182,165,161,158,147,132,121,120,110,98,137,175,178,175,175,173,173,172,171,169,168,167,166,164,163,160,210,190,173,159,153,160,151,136,120,126,107,132,183,178,178,176,176,174,173,172,171,170,169,169,167,166,163,160,203,188,169,137,117,118,124,125,122,118,129,179,180,178,178,176,174,173,172,172,172,170,169,168,166,165,163,163,189,171,144,109,90,73,123,148,137,157,182,184,184,183,183,181,178,178,178,177,177,173,168,166,169,173,172,164,169,140,110,101,89,80,152,167,162,162,158,158,157,156,155,155,155,155,157,150,144,155,171,179,178,165,159,151,134,114,101,97,92,90,90,87,84,83,82,84,83,81,80,81,82,80,74,94,137,170,173,162,156,163,166,132,111,101,97,94,96,93,90,90,87,85,86,85,84,83,82,82,81,77,128,183,176,164,154,158,143,165,192,140
20,149,152,156,160,161,164,167,168,170,171,172,173,172,174,174,172,173,172,172,171,169,167,167,166,164,163,162,161,151,155,158,162,164,167,170,171,173,174,175,174,179,161,167,179,174,174,174,173,172,171,169,168,167,167,165,164,153,157,161,164,168,171,173,174,175,178,180,173,205,141,120,182,177,176,177,176,175,173,172,171,170,170,168,166,156,160,164,167,170,174,175,176,179,181,181,177,213,149,125,143,154,184,177,178,177,175,175,172,172,172,170,170,157,162,167,170,173,176,178,180,182,182,184,180,210,144,155,159,120,190,179,181,180,179,177,176,175,175,174,172,160,165,170,173,174,177,182,184,185,185,185,183,217,160,159,178,107,184,184,183,182,182,180,180,179,178,177,174,164,168,172,175,177,180,183,186,187,188,189,186,223,171,153,197,109,176,189,185,185,183,182,182,182,181,180,177,167,170,174,177,180,182,186,188,188,188,192,191,219,161,151,205,117,164,196,187,187,185,184,183,183,182,181,180,169,173,175,179,183,186,188,188,195,198,176,193,237,168,156,208,124,153,199,189,190,188,187,187,185,185,183,181,170,174,178,182,184,188,189,188,203,228,181,165,192,162,147,223,140,146,201,189,191,190,190,189,188,187,185,183,172,176,180,184,187,187,195,229,175,165,208,162,120,114,117,204,143,139,202,192,193,193,191,190,191,189,187,186,174,178,182,185,189,188,209,207,195,155,203,198,194,167,116,150,139,132,205,195,196,195,193,191,191,190,189,188,175,180,183,187,191,190,208,193,165,151,164,194,209,207,137,94,113,124,205,196,196,196,194,192,191,191,191,189,177,182,185,188,193,195,203,218,183,134,98,96,127,204,168,101,75,117,206,197,199,198,196,195,194,193,192,191,178,182,188,192,194,197,200,233,194,141,106,95,86,188,204,136,73,103,206,201,201,199,198,198,197,195,192,192,180,185,190,192,197,199,202,225,192,148,115,124,139,199,227,172,105,89,202,205,203,201,200,199,198,197,194,192,183,188,191,194,198,201,204,235,202,150,135,127,171,233,221,177,132,87,198,208,203,202,201,200,199,198,196,194,183,188,193,197,201,204,207,239,207,160,143,144,201,239,201,154,118,87,200,207,205,204,202,202,201,199,199,196,184,190,194,197,202,205,207,238,215,177,161,152,220,229,182,134,93,106,213,206,206,205,205,205,203,201,200,197,187,193,196,200,203,205,207,232,216,177,169,159,228,220,169,126,86,115,219,207,210,207,205,206,205,204,200,197,188,194,198,202,204,208,208,224,217,180,181,163,220,205,154,117,79,120,221,209,211,210,207,206,205,204,202,200,188,195,199,203,206,208,210,218,221,195,194,163,212,189,138,106,72,139,224,210,211,211,210,207,206,206,203,201,189,195,200,204,207,209,213,216,222,201,196,157,197,168,121,101,70,166,224,212,212,211,210,209,208,207,205,203,190,196,201,204,207,210,214,216,229,197,168,138,181,146,126,103,82,204,220,215,215,212,211,211,211,208,206,203,191,197,202,204,209,212,214,218,233,206,166,157,179,136,142,85,135,228,216,218,217,215,213,212,211,210,207,204,192,197,202,206,210,213,212,222,240,221,192,184,162,131,130,74,189,225,216,219,218,216,214,214,212,211,209,206,191,196,199,205,209,213,208,222,224,200,199,183,151,125,104,96,215,219,217,217,216,214,214,213,212,211,209,206,191,196,201,206,209,214,205,228,217,182,180,169,134,113,81,127,226,218,218,218,217,215,214,212,211,211,209,205
3,96,106,112,116,119,124,130,136,138,140,142,143,144,145,146,147,147,151,149,148,149,148,148,149,150,148,146,147,100,110,118,121,125,130,136,140,143,145,147,149,149,150,151,154,159,111,147,154,152,153,153,153,153,152,151,150,106,116,123,128,132,137,142,146,149,152,154,155,156,157,156,164,173,73,119,168,158,161,160,159,158,157,155,154,112,122,128,132,138,142,147,152,155,158,159,160,162,164,163,169,174,71,88,176,164,166,165,164,162,162,160,158,119,126,132,137,143,147,152,157,161,163,164,166,168,169,169,173,178,72,70,176,171,171,170,170,168,166,165,164,121,132,137,142,148,153,158,163,166,170,170,172,173,175,176,178,191,95,63,176,176,176,176,175,174,173,170,169,125,136,143,146,152,157,163,167,170,174,175,177,179,178,178,171,202,103,49,167,184,181,182,180,179,178,175,172,129,139,146,149,156,161,167,173,174,177,180,181,180,190,209,153,116,93,69,159,191,186,186,185,184,182,179,176,133,144,150,154,161,166,172,178,181,184,188,192,166,152,226,195,95,163,94,147,199,188,189,189,187,186,184,183,138,147,153,157,164,169,176,182,185,184,170,213,208,145,184,201,135,174,57,105,209,189,192,192,190,190,189,187,140,149,156,160,168,173,179,184,187,201,174,155,213,176,150,191,122,166,99,57,180,203,196,196,195,193,192,191,143,152,159,165,172,177,182,185,191,213,220,157,125,193,133,180,119,143,155,79,103,214,199,199,198,197,195,195,145,155,161,168,174,178,184,190,198,172,164,147,62,158,100,168,190,101,159,101,79,211,203,203,200,200,199,198,148,159,164,169,176,181,188,192,203,166,112,144,58,127,103,84,103,33,130,108,82,212,207,207,205,204,203,200,152,161,166,173,179,184,191,192,202,203,154,124,91,96,168,84,0,31,167,117,75,210,209,209,206,205,205,205,153,163,168,175,181,186,191,195,206,200,126,76,58,40,114,73,24,100,197,121,59,190,216,210,209,208,206,207,155,165,170,176,183,188,194,197,206,202,155,106,72,40,42,84,131,167,169,111,57,181,222,212,213,212,209,208,158,166,173,179,184,190,196,198,208,220,175,112,81,80,94,180,228,201,140,86,68,201,221,215,216,213,213,211,158,167,175,180,186,193,198,199,207,221,186,132,108,108,117,216,228,178,130,67,83,220,218,217,218,216,214,212,159,169,176,181,188,194,198,202,207,217,196,153,120,104,130,216,213,159,116,58,111,232,218,220,219,218,216,215,159,167,175,182,187,193,197,204,207,210,195,155,129,125,126,209,204,147,99,52,149,233,220,222,221,221,218,216,160,168,176,182,189,193,197,202,206,204,194,163,148,142,115,197,184,131,84,55,183,231,219,220,221,221,218,216,162,170,177,184,190,195,199,203,206,209,193,171,149,142,104,162,163,111,73,69,208,226,221,220,219,217,218,219,161,170,176,182,189,194,197,202,205,205,207,177,149,130,86,127,125,84,61,129,232,221,224,222,222,224,210,178,165,177,184,190,197,204,208,210,214,207,219,175,147,113,87,107,93,74,77,205,225,225,215,221,212,204,172,128,104,111,117,125,134,140,146,157,157,199,220,178,154,115,103,101,90,58,129,225,183,177,200,152,168,190,126,119,73,74,75,76,77,75,75,80,77,186,209,175,156,144,113,92,75,53,190,243,189,153,171,160,128,172,90,139,82,83,87,87,87,91,97,92,102,205,196,153,147,151,101,80,56,93,176,220,192,169,128,166,139,128,87,158
24,78,89,100,108,116,119,120,125,132,135,138,141,143,144,148,150,152,153,155,156,156,157,156,156,156,155,154,154,78,91,102,110,117,120,121,127,133,137,140,143,145,147,150,151,153,155,157,157,158,158,158,158,158,157,157,157,79,91,103,112,118,122,123,130,135,138,142,145,147,151,152,153,155,156,158,158,159,160,160,159,158,158,159,158,80,93,104,114,120,120,127,132,136,139,143,147,149,152,154,156,157,159,159,160,160,161,162,161,160,160,160,159,81,94,105,116,120,149,120,128,139,142,145,147,151,153,156,157,158,160,161,163,162,163,163,163,163,162,162,162,81,95,106,115,126,164,97,106,145,143,146,150,152,155,157,159,161,161,163,164,165,165,164,164,164,164,165,164,82,95,107,116,124,144,92,83,143,144,148,152,154,159,160,161,163,167,167,166,167,165,167,166,165,165,165,165,83,97,109,118,121,145,104,67,132,151,149,156,156,156,159,170,171,141,157,171,167,168,168,168,167,167,166,166,84,98,109,120,124,134,123,77,102,153,149,140,163,161,113,154,185,132,94,163,172,170,169,170,169,169,169,168,85,99,111,120,128,130,148,97,71,141,169,124,163,177,100,130,176,129,75,107,179,171,171,170,170,171,170,169,85,100,111,121,129,129,142,118,91,142,196,145,178,185,111,162,161,95,71,76,165,175,172,171,171,172,172,171,87,100,112,123,130,132,138,157,116,145,210,149,171,181,105,170,152,75,61,67,134,183,171,174,174,174,170,162,88,102,113,123,130,133,136,152,138,165,201,143,153,181,107,176,159,73,62,73,98,186,174,176,175,169,160,142,88,103,114,124,132,135,135,152,195,170,184,154,137,171,110,189,160,61,58,74,65,164,184,173,174,174,146,106,90,103,115,126,133,136,136,159,183,147,155,143,104,151,114,199,131,45,67,83,72,109,172,166,178,157,106,78,91,105,117,127,133,137,138,157,201,166,146,132,94,138,115,87,52,64,77,97,120,130,151,156,145,98,77,149,92,106,118,128,133,137,139,154,203,181,146,128,136,139,157,88,94,148,144,152,149,143,135,126,88,92,169,186,92,106,119,128,135,137,140,151,198,187,163,137,131,138,167,170,193,186,175,162,145,123,108,83,89,179,186,180,93,107,120,129,135,137,141,150,196,188,160,137,148,183,199,204,189,175,163,149,125,102,75,80,174,188,182,183,93,108,120,129,135,137,143,148,190,190,166,153,159,185,202,201,187,166,151,128,102,69,85,171,191,183,185,184,94,109,119,129,136,138,143,146,178,193,174,162,153,182,201,195,180,156,133,108,68,108,186,190,186,187,186,185,95,109,120,131,137,139,144,149,169,193,176,153,141,177,184,174,164,143,118,70,115,196,190,187,188,188,187,186,94,109,119,131,137,138,144,149,164,184,157,136,140,176,168,151,135,114,70,110,195,188,187,189,189,188,187,186,94,109,120,130,136,137,141,148,160,178,156,149,153,176,162,134,113,73,77,187,190,187,188,188,187,187,187,187,94,108,120,130,136,137,143,150,160,197,179,168,161,172,154,118,101,62,135,193,185,188,189,189,189,188,188,188,93,108,120,130,136,137,143,151,159,203,193,173,155,167,139,110,92,68,164,192,188,189,190,190,189,189,189,189,93,108,120,130,136,137,143,150,156,187,178,160,153,167,134,119,76,71,176,191,189,190,189,189,189,189,190,189,91,106,119,130,135,138,143,148,159,182,163,141,149,159,131,112,60,74,183,190,189,189,190,190,190,190,190,190
19,50,54,59,62,70,77,82,87,91,93,95,98,101,104,106,108,110,112,113,114,116,118,118,119,121,121,122,123,50,54,58,63,71,77,83,89,92,94,96,98,102,105,107,110,112,112,115,116,118,119,119,122,123,123,124,124,51,56,60,65,73,79,85,90,94,95,98,100,103,106,108,111,113,114,117,118,120,120,122,123,124,125,126,125,52,57,63,66,74,81,86,92,95,96,99,101,105,109,112,114,116,118,118,120,122,123,125,125,127,127,126,128,53,58,62,67,76,82,88,93,96,99,100,103,106,110,111,115,119,121,119,122,124,124,125,126,128,126,133,123,53,59,64,68,77,84,90,94,98,100,101,105,109,110,122,121,98,113,126,122,125,127,127,127,125,143,153,73,53,59,64,69,78,85,92,96,99,100,103,106,110,109,152,128,89,67,117,125,125,126,134,136,143,149,98,60,53,60,64,70,79,85,93,98,100,102,104,109,112,108,141,142,99,83,121,137,129,133,143,143,129,87,65,115,54,61,64,71,80,86,92,99,101,101,108,104,110,116,128,141,131,138,136,131,124,111,122,109,71,75,120,139,55,61,65,72,82,88,94,100,98,125,141,108,102,108,120,126,120,111,103,110,96,79,77,79,106,136,137,134,56,61,65,72,82,89,96,100,102,153,127,112,113,118,127,126,116,104,102,91,91,62,119,136,141,136,137,137,56,62,65,74,82,89,97,96,114,141,104,103,111,125,130,126,124,117,100,65,57,76,145,136,136,139,139,138,57,63,67,75,83,89,98,94,128,137,112,110,116,115,107,102,105,92,77,59,42,96,144,135,139,139,139,139,58,63,68,75,84,91,97,98,162,150,130,129,128,120,118,111,98,58,53,57,45,116,144,139,140,140,141,142,59,64,68,77,86,93,99,104,162,145,129,115,108,115,116,110,88,56,49,58,52,128,141,139,141,142,143,143,58,64,68,78,86,94,100,104,145,137,115,98,78,75,91,88,83,59,53,54,75,142,139,141,141,142,143,143,59,63,68,79,86,94,101,103,136,137,116,74,64,41,32,67,88,62,56,58,74,146,141,142,142,143,144,144,60,63,69,80,88,96,102,102,135,140,115,78,52,21,58,87,87,58,54,54,54,135,143,141,143,145,146,146,60,63,70,80,88,96,104,97,132,141,116,90,68,42,45,54,46,40,46,55,54,128,147,142,144,145,145,145,61,64,71,81,89,97,106,96,136,144,117,95,71,60,48,34,35,45,51,56,57,130,148,144,145,146,146,146,61,64,72,81,90,98,106,97,136,143,117,94,74,65,65,52,43,46,51,54,63,138,145,146,147,147,147,147,62,65,73,83,91,98,106,97,127,137,112,92,72,65,63,53,44,50,55,53,80,148,143,147,148,147,147,147,61,65,74,84,93,98,107,98,125,132,109,86,71,64,61,54,50,54,61,51,110,152,145,148,148,149,149,149,60,65,74,84,93,100,106,104,130,127,105,83,69,62,62,60,56,58,53,70,143,146,147,148,149,150,150,150,61,65,76,84,93,100,104,107,140,126,101,79,67,63,65,62,58,53,77,134,146,145,147,148,149,150,150,151,62,66,77,86,93,102,104,109,137,120,103,85,70,66,66,64,54,72,140,144,144,146,148,150,150,151,151,151,62,66,76,86,94,103,103,117,130,114,100,86,71,62,58,59,49,108,146,143,147,148,149,151,151,151,152,152,61,66,76,86,95,104,104,133,130,111,92,78,65,54,52,55,53,121,144,145,147,148,149,150,151,151,153,154
7,177,178,179,179,179,178,178,178,178,178,178,178,179,178,177,176,176,176,167,84,67,90,104,106,126,147,159,179,179,181,182,181,181,181,181,181,182,181,181,180,180,180,179,179,178,182,147,75,83,105,100,102,124,144,163,180,183,184,184,183,184,184,185,185,185,184,185,185,184,183,182,182,179,186,125,72,89,97,101,96,120,149,169,182,186,186,186,186,186,186,186,186,188,187,185,183,182,184,180,179,176,181,154,127,142,99,93,111,127,159,175,176,189,189,189,189,189,189,188,189,190,189,191,181,168,181,188,181,168,170,161,178,210,132,87,111,136,171,176,169,192,191,192,192,194,193,190,192,199,204,200,186,175,183,183,179,170,165,160,156,187,136,102,123,153,180,177,168,195,195,194,194,193,194,201,209,212,209,201,188,188,183,155,162,181,173,173,163,162,147,146,181,168,182,184,173,198,197,199,198,192,199,207,206,203,198,196,197,191,181,162,168,184,174,172,167,147,142,130,157,153,180,190,185,200,198,215,212,202,201,202,200,200,201,198,198,192,173,169,162,150,138,132,130,120,116,122,123,129,178,189,193,200,204,225,213,197,193,199,202,201,199,193,185,174,158,147,137,134,138,149,148,129,182,177,158,131,178,186,194,203,209,222,210,184,181,190,192,191,177,155,141,122,117,147,188,197,196,207,183,153,217,158,186,141,172,184,189,204,213,217,200,177,182,183,167,149,129,137,162,133,135,141,124,193,203,201,194,180,145,138,207,143,158,183,180,204,215,215,200,200,196,183,172,164,172,176,172,166,162,171,111,137,213,199,201,199,150,188,213,148,137,180,174,209,217,217,220,225,205,174,176,181,180,174,163,159,158,153,110,133,214,202,202,199,195,181,198,173,130,171,177,211,218,219,226,225,199,166,166,164,157,158,153,148,142,125,118,200,208,204,204,202,200,209,198,186,171,174,178,213,219,222,224,209,189,176,167,146,128,134,146,143,140,127,135,213,207,206,206,206,203,183,150,155,180,176,178,219,222,222,215,201,193,194,197,169,146,157,171,164,149,146,135,179,216,208,206,207,212,181,146,166,174,174,179,223,225,218,208,200,192,203,203,168,146,153,156,148,136,136,116,177,217,208,209,209,211,204,170,185,168,173,179,222,223,217,209,200,202,215,197,164,146,147,145,142,136,120,132,210,212,212,211,209,208,209,185,178,171,165,175,220,222,216,206,205,210,204,181,154,138,129,124,115,103,119,197,218,212,212,211,210,210,211,195,180,177,163,167,217,217,210,204,206,197,182,165,151,143,122,102,114,150,199,221,214,214,212,212,211,211,213,201,181,186,169,153,211,211,206,202,202,189,175,168,157,141,148,191,208,224,220,217,215,215,214,215,213,212,214,202,180,190,184,164,207,206,205,200,197,189,181,170,140,120,208,228,220,218,216,217,217,216,216,216,215,212,213,201,177,188,187,176,206,198,200,199,186,178,170,144,108,171,230,219,220,220,219,218,218,217,216,216,216,214,214,202,178,185,184,179,203,193,188,183,172,161,145,115,137,224,223,222,223,223,222,221,219,217,218,218,216,215,217,203,180,184,181,174,195,187,180,166,151,136,113,119,210,226,223,224,222,223,221,221,220,220,218,219,217,216,218,199,182,185,180,174,179,171,162,146,126,110,124,202,228,223,224,224,224,224,223,223,221,220,218,218,218,217,215,190,184,184,180,172,165,154,148,136,117,146,211,229,223,225,224,224,224,225,224,224,223,222,220,220,218,220,204,184,188,188,183,175
1,103,81,66,59,62,55,5,60,85,100,113,120,130,136,139,141,147,151,154,156,159,162,163,166,168,169,169,170,105,78,71,58,70,45,11,66,88,98,130,136,97,134,143,147,149,153,155,158,161,164,165,168,170,171,171,171,106,77,78,58,78,36,17,70,89,105,139,158,78,108,134,123,155,155,158,161,163,166,169,172,173,173,175,174,106,77,81,57,85,27,27,70,115,147,99,160,100,102,144,78,138,161,160,163,165,169,172,174,174,175,176,176,105,79,84,59,88,19,35,71,126,157,90,155,117,102,160,84,104,167,161,165,169,172,174,175,176,177,178,178,102,80,84,61,90,11,43,75,123,167,98,145,138,100,163,112,84,164,164,167,172,174,176,177,179,179,179,180,99,85,83,66,89,7,51,74,120,172,96,148,169,110,143,133,78,149,169,170,172,174,178,179,181,180,181,181,97,89,82,72,81,4,60,102,112,179,116,143,176,113,143,163,88,124,176,170,174,177,180,181,182,182,183,183,95,93,78,79,75,0,95,154,100,183,135,125,167,116,140,174,106,101,176,170,174,178,181,183,184,184,184,185,93,95,75,87,66,1,107,148,93,173,139,112,165,124,121,168,120,93,173,174,176,179,182,183,184,184,186,186,92,99,71,94,54,7,105,152,87,163,147,100,171,141,109,172,132,89,168,177,177,181,183,184,185,186,188,188,94,102,68,101,43,12,104,165,89,160,163,90,157,155,103,176,142,87,158,179,179,181,184,185,186,188,189,189,95,104,68,108,32,20,99,181,104,137,174,94,115,157,81,150,150,82,146,183,179,183,185,185,186,188,189,189,100,106,69,111,22,29,88,169,106,111,176,98,101,151,98,149,154,83,124,187,179,183,185,186,186,189,190,189,103,103,71,110,14,38,79,161,129,95,155,133,133,135,150,158,120,81,99,185,179,183,185,187,188,188,189,188,107,100,76,105,7,46,74,164,143,91,147,155,128,114,139,152,104,67,80,174,182,183,186,187,189,189,189,189,109,97,81,102,3,51,73,158,135,142,147,148,153,136,173,183,119,64,54,156,186,182,186,188,189,190,191,191,114,95,88,96,1,56,73,159,159,162,128,134,144,143,172,168,126,87,48,129,191,182,187,189,190,191,191,191,120,93,99,92,1,59,76,173,172,140,118,110,123,132,138,147,150,118,64,92,189,184,189,190,190,190,191,192,125,90,108,83,1,60,73,163,164,125,102,117,125,142,169,165,167,149,100,71,175,186,186,187,188,188,190,191,128,86,116,70,4,60,65,141,163,120,102,121,127,150,185,183,173,165,124,79,167,183,182,183,185,187,187,185,128,83,124,57,3,59,64,109,165,131,109,110,135,150,182,193,168,153,114,85,170,180,181,183,185,185,192,218,127,81,129,46,17,62,67,83,152,140,119,107,132,149,180,189,164,140,101,74,169,180,181,184,187,182,193,230,126,84,122,97,76,93,99,97,135,155,133,113,120,143,173,182,159,134,96,72,153,161,162,165,163,166,155,158,124,85,125,105,46,54,56,54,71,149,139,129,117,132,166,170,144,126,90,67,80,81,86,80,108,160,159,151,120,88,129,98,51,57,60,63,58,96,146,135,128,124,146,157,132,115,83,68,81,82,78,83,156,164,155,145,115,89,130,95,51,58,59,60,63,58,118,143,135,121,118,134,119,98,76,72,78,80,73,127,175,160,153,143,109,85,131,90,47,55,57,58,62,57,81,145,128,111,105,108,103,90,67,72,77,75,80,163,168,157,146,140
1,64,67,71,76,88,106,120,126,130,135,141,146,150,154,158,161,163,165,166,167,168,170,171,171,172,173,173,173,65,68,73,78,91,108,122,129,132,139,144,148,154,165,147,160,165,165,166,167,168,170,171,171,171,172,172,172,67,70,74,80,94,112,126,132,136,144,148,151,165,184,120,138,153,165,168,169,169,170,171,171,171,171,172,172,67,71,76,81,97,115,129,135,141,148,159,155,159,189,114,118,126,147,173,173,173,172,173,173,172,173,172,172,68,72,77,82,99,119,132,138,145,152,184,163,133,186,114,118,132,118,176,179,178,178,178,177,175,176,175,174,70,74,78,84,102,122,136,141,149,156,191,167,123,175,112,115,139,102,170,184,183,183,183,182,180,180,179,179,71,74,79,87,106,125,137,144,153,160,194,168,114,168,124,117,145,103,164,190,188,188,188,187,186,185,184,183,72,75,80,90,110,128,141,147,158,167,186,169,106,147,122,119,157,111,157,196,194,194,194,192,191,189,188,187,72,76,81,92,114,132,143,149,171,172,167,167,102,130,120,109,155,112,154,201,199,199,199,197,196,194,193,193,74,78,82,95,118,136,146,152,191,165,156,165,104,141,129,109,173,128,153,206,203,203,203,202,201,200,200,198,75,79,83,97,121,139,149,156,198,151,149,175,110,135,128,110,181,141,149,209,208,208,207,206,205,205,204,202,77,80,83,99,124,142,152,162,201,143,134,174,106,108,117,113,176,142,141,212,211,211,210,210,209,209,207,206,79,82,85,103,127,145,155,168,206,146,111,166,113,108,119,138,161,130,133,214,215,215,215,214,213,211,211,210,79,82,86,106,130,148,158,172,212,152,99,178,170,142,142,153,141,108,122,213,218,218,217,216,215,214,215,214,79,81,87,109,133,152,161,175,210,152,125,154,149,137,139,132,128,124,113,202,222,221,221,220,219,218,217,217,79,81,88,111,136,154,163,181,216,173,152,125,120,132,138,123,140,157,136,164,222,224,224,224,223,223,222,221,79,81,89,114,138,157,165,191,223,180,143,114,122,123,149,162,181,191,174,132,183,227,226,226,225,224,225,225,80,82,91,118,142,160,167,200,227,175,131,111,125,138,179,215,199,197,189,128,120,215,229,229,227,228,228,227,80,82,92,121,145,164,170,204,229,175,126,117,133,153,199,226,228,202,161,107,104,203,233,231,230,230,231,230,80,83,95,124,149,166,173,203,233,183,128,122,141,169,208,225,226,195,144,101,107,213,234,234,234,224,194,151,81,83,97,127,151,168,174,200,232,195,142,123,150,178,215,229,218,183,137,99,120,228,236,219,167,113,73,53,80,83,99,129,154,171,177,198,230,209,160,129,153,178,219,229,205,170,130,97,140,237,205,115,59,46,47,44,79,81,100,132,156,171,178,194,222,213,174,139,152,179,219,221,197,161,122,93,161,191,99,60,52,33,45,47,77,80,101,133,157,172,177,191,209,211,183,152,155,176,213,211,187,150,115,91,118,80,43,47,60,33,31,51,76,79,102,135,160,174,180,192,202,208,190,165,162,162,202,196,175,137,106,84,76,58,47,31,50,46,21,37,74,77,102,136,162,176,182,194,203,205,192,170,163,152,180,179,158,123,98,77,77,62,47,28,32,52,26,22,90,92,110,137,158,171,179,189,199,200,193,175,166,151,155,166,145,113,87,71,78,63,43,31,21,41,39,16,118,119,119,120,126,133,138,142,146,160,196,181,169,152,141,153,135,105,76,66,73,55,49,29,19,30,45,18
14,120,123,124,127,130,132,134,136,136,136,138,140,141,141,143,144,143,143,143,144,144,145,145,144,145,144,144,144,120,123,125,127,131,133,135,135,136,138,140,142,143,142,145,145,144,145,146,146,147,148,146,146,146,145,146,145,121,123,125,129,131,133,135,136,138,139,140,142,143,143,144,148,150,148,148,147,148,149,148,147,148,147,147,147,121,124,126,130,133,134,137,139,138,140,147,144,147,144,133,125,130,143,148,152,151,149,150,150,149,149,149,149,123,128,130,132,134,136,138,139,136,157,165,153,142,127,117,119,113,114,110,112,144,152,149,149,149,150,148,149,124,127,131,134,135,137,139,135,152,182,149,121,108,88,69,87,101,93,74,73,86,156,151,151,151,151,151,151,125,129,130,133,136,137,139,136,188,166,114,79,66,60,59,56,67,71,70,79,65,114,162,153,153,154,153,150,126,129,131,135,137,139,134,163,194,136,98,79,52,49,54,42,48,66,81,80,67,71,105,115,121,157,153,153,128,130,133,136,138,140,136,191,164,107,82,60,47,57,53,44,45,58,84,85,56,77,61,84,99,157,153,155,129,131,133,136,140,134,158,197,138,95,76,48,40,48,46,54,49,130,157,151,125,82,79,87,106,161,154,155,129,132,135,137,140,137,193,185,131,93,80,71,51,32,45,51,79,160,157,156,166,104,106,89,105,164,154,155,129,133,138,141,133,164,207,174,130,91,80,71,56,47,47,52,134,161,154,158,155,100,114,91,83,160,155,155,129,134,139,142,131,177,203,171,128,86,76,66,51,55,49,85,165,155,157,159,154,94,112,99,68,136,163,155,131,136,138,143,129,173,207,171,134,98,72,57,46,52,43,112,165,156,158,161,152,91,105,99,73,120,165,156,132,137,140,145,131,175,207,171,137,109,81,59,49,50,38,124,168,159,157,163,141,105,120,105,80,132,164,156,132,138,140,146,129,181,205,174,143,110,86,68,46,48,38,98,159,160,162,170,128,108,124,109,86,147,164,158,133,137,140,147,130,183,207,179,143,118,95,81,52,50,58,58,77,91,116,146,102,109,120,105,94,156,163,162,135,138,140,147,129,183,204,176,146,122,103,91,64,49,64,66,69,78,88,89,91,114,119,98,100,165,161,161,135,140,143,147,132,181,198,175,148,127,105,91,74,50,65,73,87,96,103,105,88,93,114,94,113,169,161,162,136,141,144,147,132,183,197,177,149,127,104,88,81,57,70,84,98,103,103,104,92,83,98,87,131,169,162,164,138,143,145,147,131,181,190,170,145,123,100,88,83,68,73,87,98,102,102,102,94,89,95,82,147,169,163,164,138,143,145,149,134,176,183,163,143,121,102,94,86,77,81,90,97,100,98,97,95,95,86,110,165,164,163,164,139,142,146,149,140,179,184,164,144,123,110,101,91,82,87,94,96,100,96,93,98,91,121,163,167,167,166,164,139,143,146,149,142,187,186,165,148,124,110,97,91,87,86,94,96,99,95,99,90,129,171,167,167,168,166,167,140,144,148,151,139,189,187,169,150,124,104,91,92,93,89,95,98,100,100,90,112,169,167,167,168,168,165,167,141,145,148,150,141,191,180,164,146,119,98,92,96,95,93,98,102,102,91,111,165,168,167,168,168,168,166,167,142,146,149,150,144,189,177,164,148,122,96,94,96,92,90,97,102,93,118,168,169,169,169,169,169,169,168,167,144,146,149,150,149,184,179,167,157,133,96,91,92,92,91,95,93,115,167,171,169,169,169,169,168,168,169,168
10,87,95,105,110,113,118,121,122,125,128,130,131,133,134,135,137,139,141,141,142,143,144,146,146,147,148,149,149,88,95,106,111,114,118,121,123,126,129,131,132,134,136,138,138,135,136,144,143,145,146,147,147,148,150,151,151,89,98,109,113,115,120,122,124,128,131,131,133,134,137,137,146,136,105,144,145,147,147,149,149,151,153,153,154,92,99,109,113,116,120,124,126,128,130,132,134,136,139,137,154,144,93,134,149,147,149,150,152,152,153,154,155,92,101,110,114,117,121,124,127,129,131,133,135,138,139,137,155,147,98,125,151,148,151,152,153,153,154,155,155,92,102,111,114,117,122,126,128,129,132,133,134,137,142,139,149,153,111,115,154,148,151,152,154,154,155,155,156,94,103,112,114,119,123,126,128,130,131,133,137,143,120,138,152,162,125,103,154,150,152,153,155,155,155,156,157,96,106,113,116,120,124,126,129,131,132,133,139,151,99,105,156,160,136,97,147,153,153,154,155,155,158,158,158,96,107,113,116,120,125,126,131,136,137,137,149,138,104,81,151,152,132,94,143,156,155,155,154,156,157,157,157,98,107,114,117,120,126,138,114,106,104,111,143,149,122,82,132,150,122,91,133,158,155,156,156,158,158,159,159,99,108,114,117,120,129,130,97,75,72,69,88,151,136,84,106,140,111,91,124,160,155,158,158,158,160,160,160,100,110,114,119,123,127,123,104,81,70,89,77,126,148,97,100,122,96,91,112,162,155,158,159,159,161,161,161,100,110,115,119,123,127,132,132,130,113,90,70,117,154,110,90,96,84,91,102,162,156,159,160,160,161,161,160,101,110,114,119,123,128,131,128,157,150,90,64,138,156,120,77,71,83,93,95,159,158,160,160,161,161,161,161,101,110,114,119,123,126,129,129,158,145,96,55,151,158,125,85,65,85,95,84,150,161,160,161,162,161,161,161,103,111,115,119,125,124,146,145,155,153,96,48,166,158,124,89,67,81,93,76,139,165,160,161,162,163,163,163,104,112,115,119,125,122,158,157,149,148,86,93,172,148,121,85,67,74,88,68,130,166,159,161,162,163,163,164,105,111,115,121,124,125,141,157,144,140,107,168,159,142,126,88,70,74,78,70,148,163,160,161,163,163,164,164,106,111,115,121,125,129,133,139,122,140,152,181,158,137,122,93,74,75,67,91,166,158,161,162,163,164,164,165,107,112,117,121,125,129,132,142,121,156,179,175,156,133,116,94,75,72,61,125,166,158,161,161,163,165,165,165,106,112,116,120,125,130,131,158,145,133,176,170,153,132,114,95,77,67,68,153,161,161,161,162,164,165,165,164,107,112,116,121,124,128,131,167,157,126,170,168,153,130,113,96,80,60,95,167,158,160,162,163,164,164,165,165,107,113,116,121,124,128,135,173,164,148,175,163,152,133,114,98,78,58,133,164,158,162,163,164,164,164,165,166,107,112,116,121,125,127,137,179,167,156,169,165,160,135,114,99,71,73,160,159,160,162,163,164,165,165,165,166,108,112,117,123,126,128,137,177,162,161,165,162,166,140,112,98,65,102,167,158,161,161,162,164,165,166,166,166,109,112,116,121,125,128,137,172,155,157,164,163,166,143,112,94,62,133,164,158,162,162,164,164,165,166,166,166,108,113,117,122,126,128,135,155,155,166,166,161,162,138,110,84,82,160,159,160,161,163,163,164,165,165,166,167,107,112,117,122,125,129,132,161,167,172,165,156,157,134,107,74,109,165,157,160,161,163,164,165,165,165,166,167
19,209,210,213,213,212,212,212,211,211,210,211,210,210,208,207,208,206,206,204,203,202,202,201,199,198,197,196,194,211,211,212,212,213,213,213,213,212,212,212,210,210,209,208,208,208,207,204,204,203,202,202,199,200,200,196,194,212,213,212,214,216,216,215,218,218,212,213,213,212,210,209,209,209,208,207,205,205,203,203,202,201,198,196,197,213,214,217,217,216,218,207,189,197,220,212,215,214,211,211,210,209,209,208,205,206,205,204,203,200,199,198,197,215,216,217,219,212,237,229,192,146,188,222,214,216,212,213,212,210,210,208,207,206,206,205,203,201,201,200,198,217,217,217,219,215,226,255,223,174,119,206,220,215,214,212,212,212,211,210,209,207,207,206,204,203,203,200,197,219,220,219,221,219,217,254,238,192,113,143,229,215,214,213,213,213,211,210,209,208,208,208,206,204,202,200,199,221,221,220,221,221,213,245,235,181,123,106,218,218,216,216,213,213,213,209,208,209,208,208,207,205,203,201,199,223,221,223,224,220,244,240,212,179,123,100,211,224,222,219,217,215,215,212,210,212,210,208,208,207,205,202,200,222,223,225,219,255,255,238,206,207,194,172,198,201,209,220,221,218,216,214,212,210,210,209,209,208,206,203,203,226,226,221,236,255,225,184,176,200,235,242,224,204,189,179,195,211,217,218,212,211,212,211,210,209,207,203,203,226,227,224,255,255,231,171,125,141,199,237,247,243,233,201,188,179,194,203,214,216,215,212,211,209,207,206,204,229,222,255,255,251,230,207,170,139,152,184,207,223,233,230,228,222,219,190,173,189,207,218,212,209,208,207,204,228,229,255,251,219,204,196,197,204,188,172,166,165,176,197,214,230,243,233,198,175,150,178,211,213,209,207,204,223,252,255,246,197,170,172,158,204,224,208,192,166,129,130,175,180,199,210,211,202,173,159,182,197,211,208,206,231,255,255,245,210,191,186,182,176,200,222,217,194,154,133,180,221,203,192,182,182,185,194,182,163,217,208,208,251,255,255,234,212,209,214,216,208,159,151,193,193,177,162,135,219,229,225,219,207,194,183,177,198,215,209,209,255,255,249,215,186,201,237,228,232,174,129,161,145,164,169,150,221,225,224,224,225,223,217,216,216,210,211,209,255,255,247,198,170,141,189,227,248,211,184,160,146,130,132,200,229,225,225,223,220,219,218,217,214,211,210,208,255,255,233,200,187,181,169,174,159,220,226,176,169,136,192,233,225,226,225,224,222,219,218,216,216,214,211,208,255,255,229,207,199,198,196,181,161,188,199,193,151,171,236,226,226,227,226,224,222,220,219,218,218,216,213,210,255,255,236,216,211,207,195,176,163,162,150,136,182,228,232,229,229,227,226,225,223,221,220,219,217,215,214,211,255,247,226,210,202,210,200,181,162,169,146,176,238,232,232,229,230,227,226,225,223,223,222,221,219,217,214,211,255,244,221,182,158,160,167,168,164,159,172,233,234,233,232,230,227,227,225,225,224,223,221,220,218,217,214,214,246,224,191,148,125,105,165,195,183,206,237,239,240,238,238,235,232,232,232,231,231,226,221,217,221,226,225,215,221,186,150,138,124,114,200,219,213,213,208,208,207,205,205,204,205,204,206,198,191,204,224,234,232,216,209,199,179,155,139,135,128,125,125,122,119,117,117,119,117,115,114,115,116,114,106,131,182,223,226,213,205,214,218,177,151,139,134,130,133,130,126,125,122,119,121,120,119,117,116,116,115,111,172,238,229,216,203,208,190,216,249,186
2,93,96,101,105,108,110,112,116,118,119,122,123,126,127,127,132,127,134,135,137,139,138,138,140,139,140,141,141,94,98,102,106,109,111,114,116,119,120,123,124,128,126,131,129,78,106,128,134,98,120,147,139,142,141,141,142,94,97,104,107,110,112,115,116,120,122,123,125,123,131,132,98,49,60,112,112,59,79,131,140,141,142,142,142,95,98,105,107,111,112,116,119,122,124,122,127,137,130,94,58,37,52,80,81,73,75,60,131,143,141,142,142,97,100,105,109,112,114,118,121,124,125,127,148,144,102,49,40,42,54,51,70,79,79,36,87,151,142,142,143,98,101,106,110,113,116,118,122,125,123,143,152,116,65,27,26,38,55,51,70,71,63,57,125,149,144,145,145,100,103,107,111,115,117,119,123,122,133,157,113,64,31,21,12,36,68,80,64,87,102,132,150,146,148,147,147,99,103,108,112,115,118,121,123,120,153,138,74,35,31,31,29,58,62,66,117,149,149,150,146,148,148,148,148,99,104,108,112,116,119,123,118,143,151,105,61,29,32,32,45,42,75,130,150,145,145,147,148,149,149,148,149,100,104,109,114,116,121,120,127,157,123,74,29,24,25,40,50,66,153,146,145,146,147,148,150,150,150,150,149,101,105,109,114,119,122,120,156,147,98,55,33,36,26,44,42,109,150,143,147,147,149,150,151,150,151,152,151,103,108,110,115,122,118,145,174,140,91,58,44,42,37,34,69,146,145,146,147,148,149,151,152,150,152,154,153,104,108,113,116,120,117,173,162,121,82,49,41,39,44,44,129,149,145,148,149,150,150,152,154,153,154,155,154,104,109,113,118,118,135,184,151,109,71,44,38,37,39,73,151,146,148,148,149,149,151,153,153,153,155,155,155,105,110,113,119,115,164,176,138,100,60,40,39,41,39,112,151,146,149,149,149,152,154,154,157,158,156,157,155,105,110,116,116,129,185,163,128,93,56,39,39,40,30,130,151,147,149,149,152,153,155,156,142,124,112,127,160,105,111,117,112,163,183,152,116,83,49,36,41,41,32,82,155,148,148,149,154,160,149,125,117,111,78,90,162,106,112,114,125,184,166,138,111,79,48,35,38,42,52,47,97,150,154,155,152,133,123,123,112,87,106,153,158,106,113,107,156,183,154,132,101,71,44,33,38,47,58,70,59,74,114,123,116,105,113,125,78,116,166,158,158,107,110,116,182,170,153,122,90,67,46,29,42,56,71,83,81,69,91,104,122,128,119,89,80,162,156,157,159,108,104,148,182,157,142,112,92,71,46,30,57,77,93,100,93,87,104,118,117,105,93,97,143,162,158,158,158,106,112,177,166,156,139,113,96,72,47,37,74,93,98,105,102,90,101,101,86,109,141,160,160,159,159,158,159,99,143,183,160,154,137,111,94,71,48,45,86,96,96,104,107,71,68,101,141,161,161,158,157,158,160,160,160,107,179,172,157,151,131,103,87,70,48,50,91,94,89,106,80,79,127,157,157,156,157,159,158,160,160,160,160,146,182,158,153,147,117,87,75,59,44,63,84,94,88,83,103,153,159,155,155,156,157,157,158,161,160,160,160,176,164,151,140,133,105,81,67,53,52,68,73,87,75,118,155,152,153,156,156,157,157,157,159,161,161,160,160,163,155,143,129,132,90,69,65,56,62,49,64,105,134,154,150,153,155,156,156,158,158,158,159,160,161,160,160,158,151,137,122,134,82,58,67,65,53,75,130,146,151,150,153,151,153,156,156,158,158,158,160,162,161,160,160
2,175,177,180,181,181,182,183,184,184,183,183,183,181,182,182,181,181,181,182,179,176,174,173,172,172,170,169,167,177,178,181,182,182,183,184,185,185,185,185,185,187,187,186,184,182,177,170,176,184,178,175,174,172,170,170,168,178,179,182,182,183,184,185,186,186,186,187,175,155,156,162,160,150,144,130,112,143,175,181,178,174,173,171,170,179,181,184,185,184,185,186,187,186,187,187,169,147,145,150,151,144,133,125,103,87,119,143,161,178,174,173,171,179,182,184,185,186,186,188,188,188,191,177,159,161,160,160,157,147,125,107,111,115,111,115,123,178,174,173,171,180,182,184,186,187,188,188,188,190,186,161,153,165,166,157,149,146,126,117,123,136,133,105,114,179,175,174,172,181,183,185,187,187,187,188,189,190,183,168,162,155,144,133,153,161,106,91,107,116,110,102,155,181,176,174,173,182,184,186,187,188,189,189,190,191,184,163,163,156,144,136,133,111,123,168,147,129,135,177,184,177,177,175,174,183,185,185,187,189,190,191,191,190,182,179,168,150,132,111,107,125,180,194,192,190,188,182,182,184,183,179,174,184,185,185,188,191,191,191,191,174,174,170,152,124,76,128,189,193,191,187,185,185,183,187,172,140,126,160,179,184,185,188,188,190,190,192,188,167,165,151,126,85,52,133,203,189,191,190,188,186,188,172,119,93,86,113,181,184,186,188,190,190,192,191,182,161,150,123,84,69,67,124,201,189,192,190,187,190,175,127,100,96,90,109,183,184,188,188,190,192,192,187,181,168,143,93,65,76,69,137,201,189,192,189,191,180,129,105,105,96,81,147,184,186,187,189,190,191,192,187,183,167,142,95,68,78,69,123,207,190,190,192,193,135,91,93,98,85,107,184,177,185,187,190,191,192,192,189,182,164,137,89,71,79,73,72,158,197,198,192,151,106,81,83,86,83,169,184,178,186,188,190,192,192,192,186,181,164,128,86,83,79,74,75,75,114,163,130,100,96,97,83,82,158,188,180,180,186,188,191,192,194,192,186,182,162,126,99,90,77,77,80,84,81,87,83,84,93,92,87,164,191,184,182,180,186,188,191,192,194,192,185,179,162,135,104,88,76,77,78,84,89,92,87,88,95,83,161,193,184,185,183,180,185,188,191,192,194,192,180,173,162,133,108,92,75,76,78,83,88,94,92,87,75,136,199,185,186,184,182,180,185,188,191,192,194,192,178,171,158,132,115,92,73,76,80,84,88,95,99,83,94,188,190,187,185,184,183,181,186,188,191,192,194,190,178,171,155,135,113,91,76,76,81,85,90,94,96,79,164,197,188,188,186,185,184,182,186,189,191,192,195,189,174,176,165,135,112,96,76,75,82,88,92,97,84,98,196,191,191,189,187,186,184,182,186,188,191,192,196,185,174,184,169,133,111,97,78,73,84,89,93,96,70,151,199,189,190,188,187,185,183,182,185,187,189,191,193,182,177,183,162,131,110,99,81,71,85,91,93,76,100,196,190,189,188,187,185,184,182,182,184,186,187,189,192,179,177,177,156,125,108,100,83,72,84,90,82,75,173,196,189,188,187,186,185,183,181,180,184,186,187,188,192,179,175,171,148,123,110,99,84,73,83,84,68,153,198,188,190,188,186,185,185,183,181,179,184,185,186,188,190,176,172,160,138,121,107,96,82,75,76,75,148,200,190,191,189,188,186,186,185,182,181,180,182,184,186,188,188,175,163,153,134,115,105,94,84,72,82,169,199,191,191,190,188,186,185,183,182,181,180,178
3,122,122,123,122,123,123,123,125,123,122,122,120,119,119,119,118,117,115,112,110,108,106,105,103,101,100,99,96,123,123,125,125,125,125,124,126,124,123,124,121,120,120,119,118,110,114,113,111,109,107,105,104,102,100,99,97,126,126,127,126,127,126,126,127,126,126,124,122,121,121,116,137,64,88,119,111,112,109,107,105,103,101,101,99,128,127,128,128,127,128,127,127,128,126,127,126,123,120,127,131,38,92,122,112,111,110,110,108,105,103,102,101,129,130,131,132,130,129,130,129,130,129,128,127,127,120,148,96,35,116,121,115,113,111,111,110,108,105,102,101,133,133,134,135,133,133,133,132,131,131,129,129,126,135,149,53,66,128,119,120,118,116,114,112,110,108,105,103,135,135,135,137,136,136,135,136,135,132,132,132,125,161,128,37,96,132,123,123,121,120,116,114,112,110,108,106,136,137,139,140,138,138,138,137,137,135,136,130,148,153,88,37,121,133,128,126,122,120,119,117,114,112,110,109,139,142,142,142,142,141,140,141,140,139,139,135,157,128,44,73,128,116,124,126,128,123,119,119,117,116,114,110,142,144,145,145,145,144,145,144,143,142,140,138,149,134,90,102,124,116,125,115,108,123,125,119,121,120,117,115,144,145,147,147,146,146,147,146,145,145,143,142,153,160,139,104,105,107,110,127,105,64,119,128,114,115,121,117,146,147,148,148,148,149,148,147,147,146,146,142,175,147,118,122,110,85,78,63,94,74,57,91,97,66,111,123,150,150,149,149,150,152,151,149,149,150,144,157,180,149,126,108,89,71,42,44,19,82,83,52,65,58,117,123,152,152,152,152,152,153,153,151,152,150,153,184,166,112,58,44,81,70,52,43,27,25,65,42,29,111,128,123,154,154,155,155,154,155,154,154,153,151,178,185,120,62,22,2,100,132,72,47,34,31,10,25,69,136,125,125,156,155,157,156,156,156,156,157,152,166,196,155,75,35,16,4,40,154,146,120,65,26,34,32,92,137,127,126,156,158,159,158,159,159,158,160,144,183,190,130,70,41,11,3,0,53,141,170,87,20,47,39,117,137,128,128,160,160,160,160,161,160,160,162,144,173,171,132,71,23,6,0,4,0,31,87,29,45,54,54,134,136,131,129,161,161,161,162,161,161,161,164,149,163,180,145,82,36,8,5,11,23,24,20,22,57,53,65,141,135,133,130,162,164,164,164,163,164,163,165,148,160,189,146,99,53,18,12,25,34,47,61,52,55,52,79,147,136,134,133,163,164,165,166,165,165,165,166,149,156,197,155,106,63,37,14,29,47,68,78,66,51,40,96,149,136,137,136,164,166,166,166,166,167,165,169,150,150,199,159,111,78,57,20,30,64,81,81,70,46,58,136,144,139,138,137,165,165,167,167,169,169,169,170,153,144,190,155,119,83,61,29,33,66,74,69,59,50,126,153,144,143,139,137,166,167,169,170,169,168,168,171,156,142,188,160,126,85,57,36,36,59,66,62,46,74,152,147,145,143,142,139,168,169,170,171,172,171,171,173,162,140,179,160,124,84,58,48,40,55,61,57,48,122,155,148,147,146,143,141,169,170,170,171,171,172,172,173,164,152,178,150,118,85,67,57,43,50,56,51,104,157,151,150,147,145,144,141,169,171,171,171,171,171,171,173,165,150,183,150,121,93,74,58,49,51,55,100,159,154,154,151,149,147,144,142,170,172,171,171,171,172,173,174,162,148,175,141,117,93,66,55,56,51,79,157,160,156,155,153,152,149,145,143
12,134,135,135,134,134,136,136,135,135,133,131,132,131,131,130,130,129,129,128,126,126,124,123,123,123,122,120,119,137,137,136,136,136,137,137,136,136,135,134,134,133,132,132,131,130,129,130,129,129,127,125,125,124,124,123,122,139,139,138,138,139,139,139,139,139,137,137,137,134,135,134,132,134,133,132,130,130,129,129,127,125,125,124,124,141,141,140,141,141,142,140,141,142,140,139,139,137,137,137,139,135,134,135,137,134,130,131,129,128,126,125,125,143,142,142,143,142,142,142,143,143,142,141,141,139,129,105,113,140,136,127,116,124,137,131,130,130,130,128,127,146,144,143,143,145,145,144,144,144,143,143,142,143,130,109,70,117,137,116,93,68,119,139,134,133,131,130,130,148,147,145,146,147,147,146,144,146,145,144,143,150,145,123,94,68,110,131,104,65,74,141,123,133,135,132,131,148,148,147,147,147,148,148,147,147,147,144,148,153,155,133,112,68,67,139,111,81,54,79,93,82,124,136,132,149,149,149,149,149,149,150,150,149,149,151,150,137,147,140,110,86,52,124,116,92,48,44,88,62,73,142,134,151,151,151,150,149,149,151,151,150,140,133,143,134,139,135,105,76,38,112,116,92,47,38,80,60,39,133,138,151,151,151,150,150,151,152,149,148,127,95,105,129,124,130,95,62,43,123,109,85,42,36,74,56,34,131,140,153,152,152,152,154,154,152,145,149,133,117,98,96,88,132,103,71,54,130,100,79,39,47,82,57,48,145,139,154,153,154,153,156,155,153,150,150,145,133,123,79,59,133,131,84,62,129,103,73,42,77,93,48,81,151,139,155,156,156,155,156,154,156,143,124,142,142,127,101,69,129,129,82,65,142,122,74,67,100,84,41,115,148,141,157,157,157,156,157,153,157,144,101,108,142,130,107,63,84,110,63,84,152,117,68,91,121,85,48,136,146,143,158,158,159,158,158,156,161,159,129,67,91,126,88,52,34,48,28,52,121,101,61,116,132,80,86,150,143,145,159,159,160,161,159,158,152,137,111,75,51,110,73,53,40,42,32,50,79,55,59,154,128,68,88,157,145,146,160,160,160,162,159,155,157,147,130,103,58,84,85,69,58,56,57,105,128,109,107,115,91,46,48,155,147,146,161,161,161,161,160,153,162,157,137,100,69,70,93,88,63,62,115,135,137,122,127,106,53,33,53,154,148,147,162,162,162,162,162,152,162,163,142,109,93,76,85,94,78,119,158,151,147,118,115,109,70,33,88,160,147,148,162,161,162,163,163,153,160,163,144,122,100,88,87,107,142,158,164,158,145,115,105,96,62,34,130,156,149,148,163,163,163,164,164,154,155,159,144,126,101,94,92,120,162,160,160,151,133,108,95,82,52,48,155,152,151,149,165,166,166,165,165,155,149,152,145,126,101,101,95,131,165,158,155,141,121,104,87,73,37,85,164,151,152,152,166,166,166,165,168,156,148,153,144,125,104,104,99,143,160,159,148,128,113,101,81,59,41,143,159,154,153,152,167,167,166,166,168,160,147,150,148,133,112,102,100,148,154,154,141,120,105,91,75,38,78,166,154,156,154,153,167,167,167,167,168,164,149,149,148,141,119,99,97,142,147,144,129,112,95,78,63,31,132,163,157,156,156,155,168,168,167,167,169,167,149,149,147,135,114,100,96,128,138,130,116,96,80,66,36,66,166,157,160,158,156,156,168,167,167,168,169,167,150,148,143,129,109,100,98,118,128,120,105,87,67,52,32,137,165,158,160,158,157,157
23,162,166,167,173,180,186,190,195,198,201,204,205,207,210,212,214,215,214,215,215,213,213,213,212,210,210,209,209,163,168,169,175,182,187,193,194,197,202,205,207,209,211,212,215,216,215,215,215,215,215,214,214,213,213,211,210,164,169,170,177,183,188,193,196,200,204,206,208,212,212,214,216,217,216,214,215,217,216,214,214,215,214,214,213,164,169,171,177,184,188,194,198,200,205,208,211,214,216,216,216,216,217,217,219,221,221,222,218,215,214,214,214,166,169,173,179,186,192,197,200,204,208,209,212,214,216,219,219,220,220,219,220,216,195,188,207,220,218,216,215,168,171,173,181,188,195,199,203,206,209,212,213,215,216,219,222,222,220,219,216,207,191,180,169,198,201,220,215,169,171,173,182,188,195,200,203,206,210,213,215,217,219,221,221,224,229,211,220,212,163,194,185,142,111,223,217,169,173,177,184,189,195,200,205,208,213,215,218,221,223,225,223,233,226,171,182,141,77,141,123,105,172,226,218,171,176,178,184,191,197,202,207,210,214,217,220,221,224,223,232,232,219,140,66,129,185,226,207,217,230,222,222,173,177,180,186,192,197,202,206,211,215,218,219,221,225,225,240,226,222,139,107,248,228,231,231,227,224,224,223,174,176,181,187,193,201,205,208,213,215,218,221,222,222,223,230,213,216,189,189,212,177,151,223,228,225,225,225,175,178,182,189,195,202,207,210,214,217,222,223,229,209,203,200,215,223,224,235,216,182,72,178,242,225,226,225,176,179,182,190,196,202,208,211,213,218,222,231,234,203,176,176,185,183,174,194,186,167,73,157,246,225,227,227,177,178,182,191,198,204,209,213,214,220,222,236,225,187,150,138,190,203,190,173,147,153,85,143,249,228,229,227,179,180,183,191,199,205,209,213,219,220,227,244,226,185,156,150,165,190,197,206,182,132,66,130,249,229,231,230,178,180,185,193,201,206,210,216,220,220,240,245,229,207,205,204,179,148,134,150,164,128,41,141,255,229,231,232,179,181,187,195,202,207,212,218,222,224,247,244,228,206,206,191,209,182,150,133,98,81,43,133,232,235,232,232,179,181,187,196,202,207,213,218,219,243,250,250,220,188,182,141,204,206,164,126,85,52,86,142,163,251,232,234,179,181,188,195,202,209,216,212,236,255,249,238,181,124,130,107,113,174,182,112,64,59,94,126,74,170,249,232,181,183,189,196,203,212,210,228,255,255,240,208,177,125,69,80,105,219,203,99,63,58,93,88,49,47,226,240,182,184,188,196,204,208,220,255,255,249,225,194,175,135,61,107,184,211,163,77,55,50,90,78,62,36,186,250,183,185,188,197,204,204,255,255,253,232,205,200,172,117,56,51,95,120,98,49,45,75,87,78,46,82,226,240,183,186,189,198,199,229,255,255,247,222,203,191,152,113,76,39,46,58,67,62,54,91,86,64,114,226,246,238,182,181,194,201,210,255,255,251,234,208,191,173,137,102,65,60,89,97,93,86,68,59,89,174,251,245,239,240,180,183,170,159,255,255,244,235,215,194,176,154,120,88,59,79,105,108,99,76,58,126,233,252,240,241,240,239,179,193,91,37,248,255,231,215,191,172,156,136,105,81,67,92,98,90,56,70,192,254,247,240,242,241,241,240,185,159,54,38,80,191,218,193,179,163,148,124,98,70,65,84,78,48,85,216,255,242,243,244,242,241,241,241,187,90,34,45,38,50,113,142,143,138,124,112,75,40,40,53,57,118,236,255,242,246,245,245,245,242,242,241
14,171,173,173,175,177,176,177,177,178,177,175,176,175,173,172,172,170,170,169,168,166,164,162,161,160,159,158,157,173,174,175,175,178,178,179,179,179,178,178,177,177,177,175,172,171,171,171,170,168,165,164,164,162,159,158,157,175,176,177,178,179,180,180,180,180,181,182,181,180,170,174,182,177,172,172,171,169,167,165,164,164,163,160,159,177,178,179,179,180,181,182,182,182,182,172,157,153,123,111,134,153,178,177,174,171,171,168,166,165,164,162,160,177,179,180,182,183,182,183,184,185,170,143,122,96,72,61,81,93,124,150,170,175,172,170,168,166,166,163,161,179,180,181,183,185,184,185,185,180,158,117,78,63,64,61,72,91,99,103,109,177,173,171,170,168,167,165,163,180,181,183,185,185,186,183,175,161,130,72,44,50,53,50,53,59,80,74,74,175,176,173,172,170,168,166,164,181,182,184,186,187,188,180,161,139,88,56,48,43,48,50,53,49,62,66,64,105,173,174,173,171,169,167,165,181,182,185,187,188,189,177,158,110,55,59,53,51,50,50,43,48,49,70,78,67,170,177,173,171,170,168,166,182,185,186,188,189,189,183,163,118,55,53,48,53,57,48,125,128,138,89,59,63,142,186,176,173,172,171,168,184,186,187,190,189,190,183,161,120,59,48,44,55,46,89,199,192,196,176,108,78,81,124,161,176,171,172,170,184,187,188,190,190,191,184,164,111,60,61,54,43,69,180,190,186,186,188,183,109,99,86,124,182,171,172,171,186,187,188,189,192,192,185,169,123,80,66,61,48,148,201,188,190,188,191,140,105,108,83,137,183,173,173,172,186,188,190,190,192,191,184,173,135,92,68,57,53,171,196,192,190,193,174,105,104,97,79,171,181,175,174,172,188,189,192,193,194,187,183,177,138,100,73,51,68,198,195,190,191,193,121,91,101,80,107,188,178,178,175,174,189,190,193,194,195,185,182,173,140,105,71,54,58,151,189,198,200,155,99,85,92,56,143,189,178,178,175,175,188,191,193,194,194,186,183,173,140,104,74,60,58,64,86,144,162,97,102,99,66,94,186,182,181,180,178,175,189,191,193,194,195,183,187,178,137,108,80,60,64,71,74,78,80,83,96,80,84,183,186,183,181,180,179,176,191,193,194,196,194,181,191,175,135,106,83,59,61,70,79,85,81,79,90,72,170,192,184,184,181,179,177,176,191,193,194,196,192,180,190,170,130,106,88,60,61,72,77,84,87,79,59,136,199,186,186,185,182,180,178,177,191,194,195,199,191,182,186,165,129,113,89,62,62,76,83,85,84,66,86,192,190,188,187,185,183,181,181,178,192,194,195,199,188,184,179,154,128,111,88,61,63,80,86,86,76,62,180,195,189,189,188,186,185,182,181,180,192,193,194,199,188,180,169,149,122,105,86,61,63,80,83,80,53,114,205,190,192,189,187,186,186,183,181,179,192,194,196,198,187,176,167,148,119,102,83,62,64,77,79,65,62,188,196,192,192,190,187,187,186,184,182,179,193,195,196,197,189,171,160,141,116,94,78,62,63,73,70,45,154,205,192,193,193,192,190,187,186,184,182,180,193,195,196,196,188,168,161,139,113,89,74,59,61,52,47,142,208,195,196,195,193,191,189,188,187,185,183,181,192,195,196,195,187,167,155,138,112,87,66,54,50,78,164,206,198,198,197,195,194,191,190,188,187,186,184,182,190,194,192,194,178,157,151,137,111,79,62,42,107,205,204,194,196,196,195,194,192,189,189,186,186,184,181,180
7,194,193,194,193,193,193,193,193,193,192,191,189,188,187,186,185,183,182,180,180,178,178,176,175,173,169,168,167,196,196,196,195,196,196,196,195,195,194,194,192,191,189,188,188,186,185,183,182,181,179,178,176,175,173,169,171,197,198,198,197,198,199,198,198,197,195,194,193,192,192,192,191,189,187,185,184,183,181,180,178,176,174,171,170,199,199,199,200,200,200,200,199,198,197,195,194,195,194,193,191,192,190,187,186,185,183,181,181,179,176,173,172,200,200,201,201,201,202,201,200,199,199,199,198,197,194,194,193,192,191,190,188,187,185,183,181,180,178,176,174,202,201,201,201,202,204,203,201,201,200,200,200,199,197,197,195,193,193,191,189,188,188,186,184,182,180,178,176,204,203,203,204,204,204,204,204,203,201,200,201,199,199,198,197,195,194,193,192,189,187,187,185,183,181,179,179,205,205,205,205,205,204,205,205,204,203,201,201,200,200,199,197,197,195,195,193,192,192,190,189,185,182,180,179,206,206,205,206,206,206,206,205,204,204,203,202,203,204,203,203,199,200,197,194,191,186,184,180,184,186,182,181,207,207,207,207,208,207,207,209,211,208,204,202,197,189,181,171,162,146,143,146,148,127,132,161,153,178,185,182,208,208,208,208,207,209,208,193,172,155,148,143,144,137,129,126,129,107,114,119,115,113,120,152,128,169,188,184,209,209,208,210,212,202,181,161,143,114,120,127,127,130,127,129,108,103,97,96,95,99,84,103,142,184,191,186,210,209,212,210,186,170,167,162,142,109,104,104,103,107,110,113,111,119,113,89,96,92,88,92,98,106,160,190,209,214,203,170,158,162,163,153,144,131,118,117,119,127,131,130,132,126,117,81,88,93,82,78,68,87,113,191,216,197,163,159,160,161,153,153,155,144,130,127,125,134,125,121,116,107,92,68,67,70,67,70,68,79,141,192,191,167,166,164,162,158,156,163,151,131,92,86,98,101,91,88,93,95,99,114,138,152,164,167,172,177,189,186,162,171,172,165,162,163,161,144,133,109,68,72,77,60,131,181,181,195,202,205,207,204,203,202,196,193,193,195,165,170,169,165,164,158,140,127,126,102,81,63,59,60,66,177,216,204,202,199,197,196,195,191,192,196,177,149,164,164,168,170,163,145,130,119,118,127,124,78,55,64,41,126,216,202,204,201,197,197,199,201,190,126,82,69,162,166,171,165,147,124,116,113,116,129,115,68,58,51,77,198,207,203,202,206,208,202,181,139,93,61,56,62,164,166,162,144,124,114,110,106,104,106,78,57,42,66,195,212,207,208,211,189,154,116,80,60,56,62,53,58,162,154,136,126,123,118,117,104,86,84,77,64,44,86,224,200,194,193,160,96,67,58,61,62,62,63,50,50,143,131,128,124,116,106,93,80,74,88,92,65,46,122,145,88,84,80,66,62,74,59,53,58,60,62,48,44,133,132,126,108,91,84,79,80,85,93,75,57,72,86,49,49,58,47,61,52,55,61,38,49,58,60,47,43,132,125,110,97,92,90,85,79,76,67,64,77,75,69,61,39,57,46,50,46,48,50,34,42,54,57,42,45,116,101,93,94,92,87,75,68,71,73,75,68,61,55,56,38,43,46,39,42,46,41,31,39,54,53,37,45,78,65,71,75,77,76,82,87,70,72,63,57,50,54,49,43,30,44,35,39,43,34,32,38,52,50,34,45,58,94,109,107,105,109,110,89,60,50,57,57,45,49,44,44,26,35,36,36,44,32,33,41,50,48,32,50
6,128,129,129,130,132,131,133,134,134,134,134,133,133,133,133,132,133,133,134,133,134,133,132,132,130,129,129,131,134,134,134,134,135,135,134,135,135,136,135,135,135,135,136,135,137,136,135,135,136,135,134,133,133,132,133,131,136,136,136,137,137,138,138,138,138,139,139,139,139,139,138,140,140,139,138,138,139,139,136,135,137,136,136,129,138,139,139,141,140,140,140,140,141,142,141,141,140,142,142,142,142,140,140,141,140,141,138,138,140,139,140,117,141,141,142,142,142,143,143,143,144,145,143,144,148,144,143,144,144,143,145,145,143,141,146,142,141,141,142,134,145,144,145,145,145,146,146,146,147,147,150,136,124,149,148,148,146,146,141,144,136,144,180,141,138,145,143,139,147,148,148,148,148,149,150,150,150,147,163,123,60,128,141,138,146,147,134,139,140,130,149,114,139,147,144,145,149,150,151,151,150,152,154,154,153,155,166,124,127,144,138,131,146,142,132,117,108,91,89,126,149,147,148,146,151,153,154,154,155,155,157,157,153,153,156,161,166,153,130,122,99,89,79,75,86,117,148,154,150,150,150,148,154,155,156,157,156,157,152,147,149,154,159,157,139,118,99,76,76,92,114,142,156,160,157,152,152,151,150,149,156,157,158,158,159,158,144,141,142,143,131,102,77,63,75,127,154,159,163,159,157,157,157,155,154,154,153,151,159,159,159,158,166,166,161,160,125,95,96,84,64,76,139,164,166,164,159,161,160,159,160,158,156,156,155,155,161,161,161,160,171,172,181,149,95,87,87,100,109,108,98,98,117,145,167,162,162,161,162,161,159,158,157,156,163,163,162,165,177,177,185,135,107,119,95,89,102,111,101,97,92,70,145,170,163,163,164,163,161,160,159,159,163,164,163,174,185,182,183,174,175,158,105,80,91,99,89,83,88,57,127,177,165,166,165,164,162,161,161,160,165,166,166,180,187,182,182,184,187,165,112,76,89,98,100,90,81,63,122,177,166,167,167,167,165,164,163,163,168,168,170,178,183,183,182,181,177,171,148,115,86,72,92,97,93,76,71,172,169,167,168,168,168,167,166,166,169,169,167,183,181,185,181,181,180,182,184,153,96,68,86,92,86,68,84,177,170,170,168,169,170,169,168,168,170,168,169,183,186,187,185,185,181,182,185,147,99,81,81,84,80,66,75,164,175,171,170,171,171,170,169,169,173,166,176,184,186,189,192,185,179,183,169,126,93,86,82,82,79,76,50,140,182,172,172,171,171,170,170,170,174,159,177,185,186,190,188,176,175,169,143,112,96,89,71,78,79,71,79,170,177,174,174,173,172,172,172,171,170,158,179,185,186,188,173,168,167,150,125,105,108,112,73,57,58,65,159,181,174,176,176,175,174,174,172,172,162,166,185,182,181,174,162,160,160,144,125,118,114,117,53,33,62,149,185,176,178,177,177,175,175,174,174,173,157,172,183,178,173,167,158,155,151,143,133,124,100,76,108,136,173,186,181,180,178,178,178,176,176,176,175,174,155,175,180,168,164,157,161,161,146,134,129,106,68,105,196,186,183,181,182,181,180,179,179,179,178,177,177,175,162,174,173,166,162,149,155,155,138,128,112,87,62,165,186,182,182,181,181,181,181,181,180,180,179,178,178,176,166,171,164,162,156,142,144,139,128,114,93,66,112,192,182,184,183,183,182,183,181,181,182,181,181,180,178,177,166,168,169,163,150,141,136,129,109,90,71,74,175,186,182,184,184,183,183,183,183,182,182,182,181,181,181,179
18,109,110,113,115,117,120,122,122,124,125,127,129,128,129,129,130,129,130,130,131,132,133,134,134,134,135,133,134,111,113,115,117,119,122,124,124,128,129,130,131,131,131,132,133,131,132,133,134,136,135,137,136,136,137,136,137,113,115,118,120,122,124,126,129,131,131,132,134,134,134,135,135,135,136,136,137,137,137,138,138,139,139,138,137,115,117,120,122,124,126,129,130,132,134,135,136,137,137,137,137,137,137,138,137,138,140,140,138,139,141,141,141,117,118,122,124,127,128,131,133,135,136,137,138,138,139,141,140,138,140,142,145,143,141,146,144,145,143,143,144,119,120,123,126,128,130,132,135,138,138,139,140,141,142,142,143,142,144,128,123,140,146,122,99,118,146,146,146,121,122,126,129,130,132,134,137,138,139,140,142,143,143,144,143,144,146,112,101,129,150,112,59,68,109,156,144,123,125,128,130,132,134,137,139,140,142,143,144,145,146,143,147,145,134,130,130,148,135,134,86,51,56,147,150,125,128,130,132,135,137,139,143,144,144,145,146,146,147,150,124,127,117,130,133,128,106,154,108,59,26,120,162,127,129,132,135,137,139,142,144,145,146,147,147,142,165,160,105,81,94,112,107,68,112,173,118,77,27,104,165,129,130,133,136,138,141,143,145,146,147,146,157,104,112,150,110,82,71,109,66,34,155,170,128,94,34,101,166,130,132,135,136,139,143,145,147,148,144,163,174,99,59,144,130,111,75,152,89,39,167,176,148,112,42,108,169,130,133,136,138,141,145,147,149,148,159,162,167,121,74,118,150,117,69,121,122,70,140,183,160,113,55,68,169,132,135,138,140,143,146,149,149,155,164,121,165,146,99,85,148,117,85,41,98,157,166,158,135,105,74,35,141,133,136,139,141,144,147,150,148,166,171,121,154,155,113,69,121,128,87,109,156,162,164,133,119,103,87,36,120,135,137,141,143,146,149,151,156,166,146,106,121,135,98,50,87,101,119,177,162,147,142,122,108,103,78,43,144,136,139,143,145,148,150,151,155,175,150,106,103,90,61,33,27,98,178,171,157,138,126,117,91,85,49,74,171,138,142,144,146,149,152,153,154,174,154,128,105,51,45,15,35,171,172,160,149,137,126,97,75,61,33,130,171,141,143,145,148,151,154,154,156,175,161,145,112,72,104,62,133,182,169,162,144,132,115,80,62,44,58,169,165,140,143,147,149,151,155,154,161,176,173,138,105,135,124,114,185,172,170,153,135,123,96,66,55,35,97,177,165,142,145,148,151,152,156,155,168,174,176,128,124,147,108,153,191,179,162,144,130,111,77,53,50,39,149,173,166,143,147,149,151,155,157,155,167,179,172,131,134,144,100,179,181,181,153,132,114,91,62,50,33,90,176,166,168,144,147,149,153,156,158,160,157,169,174,139,146,132,110,189,182,167,142,124,101,70,51,45,43,159,173,169,170,146,148,151,154,156,159,163,158,159,165,148,154,130,142,170,170,149,125,111,88,62,55,30,98,182,168,170,171,146,150,153,155,156,159,163,161,152,161,150,160,144,140,148,152,136,120,99,78,61,45,47,164,173,172,171,171,147,151,155,156,158,160,162,163,151,166,160,152,139,120,136,149,139,111,88,70,57,31,117,181,171,173,173,173,148,152,153,157,159,161,164,165,150,156,137,128,121,112,135,141,133,105,74,62,39,58,171,172,174,175,175,175,148,151,154,157,160,162,165,167,157,145,121,128,125,141,145,142,126,99,73,59,31,107,181,173,175,175,176,176
6,114,115,115,116,118,118,120,121,121,121,121,120,120,120,119,119,120,120,121,120,121,120,119,119,117,115,116,117,121,121,121,122,123,122,121,122,122,123,123,123,122,123,123,123,124,124,123,123,123,122,121,120,119,118,120,118,124,124,124,124,125,126,126,126,126,127,127,127,127,127,126,128,128,127,126,126,127,127,124,122,124,123,123,115,126,127,127,129,128,129,129,128,129,131,130,129,129,130,130,131,131,129,129,129,128,129,126,126,129,126,129,101,130,130,130,130,131,131,132,132,133,134,132,133,138,133,132,133,132,132,134,134,132,130,135,131,130,129,130,121,134,133,135,134,134,135,135,135,136,137,140,123,109,138,137,138,135,135,130,132,123,133,175,129,126,134,132,127,137,137,138,138,137,139,140,140,140,137,155,108,34,115,129,125,136,136,121,127,129,116,139,97,127,137,133,134,138,140,142,141,140,142,144,145,144,146,159,110,113,134,126,118,135,130,119,101,90,70,67,111,139,136,137,136,142,143,145,144,146,146,149,148,144,144,147,153,159,143,116,107,80,67,56,51,64,100,137,145,140,140,140,137,145,146,147,148,147,149,142,136,139,144,150,149,127,102,80,52,52,71,98,131,148,152,148,143,143,142,140,139,147,148,150,150,151,149,133,130,130,132,117,83,53,37,51,112,145,151,156,151,148,149,148,146,145,144,144,142,150,151,151,150,159,159,153,152,110,75,76,62,38,52,127,156,160,157,151,153,152,151,152,149,148,147,146,146,153,153,153,152,165,167,177,139,75,65,65,81,91,90,79,79,101,135,160,154,154,153,154,153,151,150,149,147,155,155,155,158,172,173,182,123,89,103,74,67,84,94,82,77,71,45,134,163,155,156,157,156,154,152,151,150,156,157,156,169,182,179,179,168,170,150,87,57,70,79,68,61,67,30,113,172,158,159,158,157,155,154,154,152,158,159,160,176,184,178,178,181,184,158,95,52,67,78,80,69,58,36,107,172,159,160,160,161,157,156,156,155,161,161,164,174,180,179,178,178,173,165,137,99,64,48,71,77,72,52,46,167,162,161,161,161,161,160,160,159,162,162,161,179,177,181,177,177,176,178,181,144,76,43,64,71,65,42,61,172,164,164,162,163,164,163,162,161,163,161,162,179,183,184,181,181,177,178,182,137,79,57,58,62,57,40,51,157,170,166,164,165,165,164,162,162,167,159,171,180,183,186,190,181,174,179,163,112,72,64,59,59,55,53,21,128,178,167,166,165,165,164,164,164,169,151,172,182,183,188,185,171,170,162,131,95,75,67,47,55,56,46,56,163,172,169,169,168,167,166,166,166,164,149,174,182,183,186,168,161,161,140,110,86,90,95,49,29,31,38,151,177,169,171,171,170,169,169,166,166,155,159,182,178,177,169,154,152,151,133,110,102,97,101,25,2,36,139,182,171,173,172,172,169,170,169,168,168,148,166,179,173,168,160,149,146,141,132,120,109,81,52,90,124,168,182,177,175,173,173,173,171,171,171,170,169,146,170,176,162,157,149,153,153,135,121,115,88,43,86,195,183,179,177,178,177,176,175,175,174,173,172,172,170,154,169,168,159,154,139,146,145,126,114,95,66,36,158,183,178,178,177,177,177,177,177,176,175,175,174,173,171,159,165,157,154,147,131,133,127,114,97,72,40,95,190,178,181,180,179,178,179,177,177,178,177,176,176,174,172,159,161,162,155,140,130,124,115,92,68,46,50,170,183,178,180,181,180,179,180,180,178,179,178,177,177,176,175
22,172,174,175,176,176,176,177,178,177,178,179,179,178,178,179,178,177,178,179,178,176,176,175,177,154,60,15,14,174,176,177,178,178,180,181,181,181,182,182,183,182,181,181,182,182,181,182,181,178,178,176,179,160,47,23,32,176,178,179,180,182,183,183,183,184,184,186,184,185,184,184,184,185,185,184,183,182,181,181,178,184,94,24,46,178,181,182,183,183,184,185,186,186,186,187,188,184,186,189,186,186,187,185,188,186,184,183,181,186,136,32,36,180,183,184,185,185,187,189,189,189,189,189,189,196,166,173,194,188,193,178,155,191,186,186,183,183,184,55,24,183,185,187,187,189,190,190,190,192,191,191,188,211,156,142,202,189,198,186,110,189,189,189,187,184,162,77,1,184,186,189,190,191,192,191,192,193,193,193,191,211,154,133,205,192,196,172,106,187,192,191,187,200,121,101,69,185,188,190,192,191,191,194,194,194,195,196,193,217,174,124,202,195,196,176,112,183,195,192,196,191,106,137,147,187,191,192,194,195,193,195,196,197,198,198,193,219,202,121,198,197,199,185,122,185,197,191,204,170,114,139,172,189,191,193,196,197,196,197,198,199,198,199,195,212,224,125,192,201,196,177,126,191,200,195,217,162,120,179,172,190,192,194,194,195,197,198,198,199,199,199,197,208,236,129,172,207,193,176,123,189,201,201,216,142,136,203,144,191,193,195,197,198,198,199,198,199,200,200,199,206,241,168,137,209,197,190,130,186,201,211,200,116,153,207,160,192,194,196,197,199,200,200,200,201,202,202,202,202,234,198,119,193,193,188,132,189,206,215,184,104,176,203,189,194,195,198,199,199,200,201,202,203,202,203,206,200,222,190,141,149,140,183,152,199,215,211,156,116,202,198,197,194,196,197,199,199,199,200,202,203,204,205,205,207,233,202,178,172,85,133,170,188,186,188,125,151,209,197,198,193,193,194,198,198,199,200,201,201,202,205,201,223,213,222,177,186,143,108,114,139,144,140,105,193,204,199,198,193,194,197,199,199,200,202,201,200,202,203,204,222,174,202,174,148,191,173,106,85,122,105,112,209,198,199,197,193,195,198,199,200,200,202,201,202,205,203,215,226,195,181,175,89,162,185,155,98,84,86,122,210,197,198,197,191,194,197,198,198,199,201,201,203,206,202,221,219,174,137,174,90,73,163,183,156,92,65,140,212,199,198,197,198,201,204,204,202,204,205,204,206,210,203,218,222,169,138,143,112,57,129,208,196,150,71,160,210,199,199,197,164,168,172,176,180,184,188,191,194,199,197,210,233,182,144,113,128,139,192,196,211,180,114,125,217,210,209,206,86,87,89,92,92,93,96,97,100,107,97,170,241,209,142,121,155,207,225,209,203,177,138,99,155,153,154,163,91,92,92,93,91,90,91,91,90,95,78,159,244,230,144,129,150,214,227,219,194,162,115,81,86,111,145,178,93,91,90,92,94,94,94,95,96,97,89,158,236,231,147,148,144,217,232,217,188,157,92,127,203,208,216,221,90,90,90,90,92,92,93,95,96,98,88,134,232,229,163,168,139,210,239,204,177,142,82,158,215,199,200,213,89,91,90,90,91,91,92,94,95,95,91,106,220,227,183,168,144,194,226,182,156,117,83,151,177,195,197,200,88,89,90,91,92,90,91,94,94,93,95,90,194,225,191,158,137,166,208,161,126,93,89,176,136,150,180,196,89,90,91,91,96,92,91,93,95,95,95,88,184,208,170,144,123,127,178,141,106,79,106,195,131,132,169,192
2,153,153,153,154,153,153,155,154,154,155,155,154,153,154,153,153,154,151,152,152,151,151,151,151,149,149,148,147,155,155,156,156,155,155,156,156,155,157,157,155,156,156,157,157,156,157,153,152,150,152,152,151,151,149,149,148,157,156,157,156,157,157,157,157,157,157,158,157,154,150,141,138,120,133,165,158,154,153,152,151,151,150,149,150,158,157,158,158,159,158,158,157,159,158,156,145,124,102,84,69,61,89,140,131,151,155,153,153,154,152,151,151,160,159,160,160,160,160,159,159,155,153,138,104,76,64,61,45,44,52,81,65,144,158,155,155,155,154,154,154,161,161,161,160,161,161,161,155,147,130,95,62,45,40,37,39,43,55,60,63,143,159,156,156,157,155,154,155,161,162,161,161,162,161,160,149,144,93,51,39,34,36,43,35,36,43,54,59,71,161,156,156,156,156,155,156,162,162,161,160,161,162,158,152,125,73,35,27,36,40,39,35,46,57,59,63,117,164,157,158,158,159,158,157,163,162,162,161,163,163,155,151,102,53,32,39,38,28,43,54,45,47,79,142,164,158,160,160,156,145,153,159,163,163,163,163,164,163,155,146,99,57,35,45,33,43,51,41,70,139,161,165,160,161,162,158,140,107,119,165,164,164,164,164,167,158,158,142,98,60,44,33,38,58,53,106,160,168,162,161,162,163,160,138,137,82,126,166,165,165,165,167,159,148,164,138,94,58,46,29,50,46,96,181,163,162,164,163,162,165,147,132,119,75,158,161,167,167,165,169,150,139,166,139,104,65,41,34,48,44,146,169,163,165,165,164,164,165,135,138,87,89,170,158,167,167,167,172,147,136,169,143,116,72,39,41,38,87,177,164,167,167,165,165,166,151,128,128,78,99,171,160,168,168,168,173,145,147,175,147,122,85,46,43,32,122,181,169,172,171,168,169,152,135,138,126,66,98,174,161,168,168,168,174,146,155,177,149,125,94,51,41,36,117,171,148,143,151,162,155,134,140,136,98,62,147,166,164,169,169,169,173,144,159,177,146,126,104,57,38,47,62,88,97,103,107,114,106,126,131,105,65,139,169,163,165,170,170,170,173,143,159,175,148,131,107,63,41,51,72,99,116,117,100,98,91,99,100,60,131,173,163,166,165,169,171,170,173,141,160,172,154,136,107,66,55,60,95,109,122,112,97,81,78,79,54,114,176,164,167,167,166,170,171,172,170,144,160,170,156,133,106,75,66,58,96,103,112,108,91,74,72,48,87,176,166,168,168,167,167,172,172,174,169,148,163,166,158,131,103,82,74,59,85,95,97,98,84,72,51,68,162,172,168,169,169,169,167,172,172,174,168,155,166,164,162,132,99,84,73,58,82,82,83,80,70,53,98,163,174,169,169,169,169,168,167,174,173,175,165,160,168,161,157,123,86,74,65,57,78,70,75,61,58,130,177,173,170,169,169,169,168,168,167,173,172,174,162,162,168,158,148,111,73,66,61,61,73,63,57,65,145,180,170,172,171,170,171,170,169,169,168,172,172,174,163,156,160,157,152,120,69,70,70,66,67,44,82,161,177,172,173,173,172,171,171,170,169,169,168,172,173,173,163,158,153,157,161,135,67,75,76,73,47,80,174,173,171,173,172,171,171,171,171,169,167,168,167,172,174,168,163,170,159,162,163,140,70,77,81,69,72,167,175,172,173,173,173,171,172,171,171,169,168,168,167,173,175,166,166,169,168,164,159,138,76,71,77,62,127,181,172,175,174,174,174,172,172,172,171,170,170,168,168
19,138,140,141,142,145,145,145,145,145,145,146,146,145,145,145,144,144,143,142,142,141,141,140,139,138,137,137,137,139,139,141,143,144,145,147,146,146,146,146,147,146,146,146,146,145,144,144,143,143,140,140,141,139,138,139,137,140,140,142,143,144,147,148,147,148,147,147,146,146,146,148,146,145,145,145,145,144,142,142,142,141,139,140,139,139,141,143,145,145,146,148,147,148,149,149,148,146,148,148,147,146,146,145,145,145,143,143,142,141,140,140,138,141,143,143,146,147,147,148,150,150,148,147,150,152,147,148,148,147,147,146,145,146,146,145,143,141,140,140,139,142,147,145,147,150,151,151,150,152,155,135,112,135,154,149,150,149,148,147,147,147,146,146,145,143,142,141,141,144,146,148,149,150,151,151,152,152,184,162,126,80,135,156,150,151,149,148,148,148,147,147,145,144,144,142,141,145,145,147,149,150,151,153,156,147,174,188,152,95,65,152,151,152,150,149,150,149,147,148,146,144,144,143,142,147,148,148,151,153,153,155,155,153,159,186,157,109,43,110,163,150,152,150,149,149,147,147,146,145,145,144,143,148,149,150,154,153,154,156,157,151,158,179,147,101,46,78,165,150,152,151,149,150,148,147,146,146,146,145,144,147,149,152,154,154,156,159,156,167,197,170,139,122,76,87,153,151,157,157,153,151,149,149,149,147,146,146,145,149,151,155,156,158,158,157,156,203,188,154,133,144,157,151,138,129,131,138,149,155,153,152,148,148,148,145,146,151,154,155,157,158,160,153,186,198,161,112,87,111,155,174,173,160,146,120,122,126,142,149,153,149,147,146,146,153,157,155,157,158,157,169,212,191,169,136,84,64,102,145,161,169,169,155,142,133,137,125,126,141,151,151,146,155,157,156,159,161,156,196,201,176,158,139,133,110,99,106,116,123,138,151,163,169,173,154,118,111,107,139,151,154,156,156,160,159,169,201,186,147,121,121,112,141,146,127,113,97,80,91,111,123,149,162,153,134,97,92,129,154,156,160,162,160,194,218,194,147,117,109,101,108,148,156,146,125,88,64,113,133,125,125,125,125,125,120,129,156,159,159,158,173,212,214,184,150,133,135,137,131,112,122,140,138,111,92,85,156,162,150,138,126,121,117,119,157,158,161,159,191,211,199,168,141,140,154,153,152,130,61,102,106,111,114,82,135,165,159,160,159,153,144,140,158,160,158,177,205,207,193,152,121,98,134,168,169,164,83,104,79,79,82,100,159,161,160,159,158,158,157,156,158,157,164,201,202,216,193,149,118,101,87,125,139,153,146,120,95,88,78,153,163,160,160,160,157,157,156,154,158,156,179,204,210,218,181,141,128,127,127,114,87,115,162,135,112,83,139,170,160,161,161,161,157,155,154,152,160,161,198,205,214,200,179,149,139,134,132,122,111,104,103,103,94,121,167,162,163,162,160,158,158,158,156,154,155,175,207,205,203,193,175,158,143,143,140,123,103,95,99,72,132,169,164,163,163,163,162,160,159,157,156,156,154,189,206,202,202,188,163,146,124,125,133,123,112,106,92,120,177,166,164,163,164,164,163,162,160,158,159,157,160,198,202,196,193,180,162,127,92,77,84,100,98,102,123,163,170,168,167,165,164,164,164,163,161,159,159,158,175,199,189,180,178,157,126,96,76,50,116,162,147,157,172,169,169,168,168,167,165,163,162,162,161,159,157,156,195,194,171,165,151,123,96,81,75,61,161,179,175,173,170,170,170,170,168,166,165,163,162,162,159,158,158,156
11,205,207,209,211,213,213,214,215,215,214,213,212,209,210,210,208,206,205,202,202,201,199,197,195,194,193,192,188,207,210,211,213,214,217,216,216,216,215,215,214,212,213,215,212,209,208,206,205,203,202,200,198,195,195,192,189,207,211,215,215,217,219,218,218,218,219,217,215,214,213,199,211,213,210,209,207,204,203,202,201,197,196,195,193,211,213,216,218,220,219,219,220,220,221,219,219,216,232,166,153,221,210,211,211,208,205,205,203,200,197,196,195,213,215,218,221,222,221,221,221,222,222,222,221,219,237,172,120,219,213,213,213,211,208,207,206,203,200,197,196,214,217,220,221,222,223,223,224,224,224,223,222,222,232,170,125,214,216,213,214,212,211,209,206,205,203,201,197,217,219,222,222,224,226,226,226,226,226,225,223,222,247,186,130,212,220,215,215,214,213,211,208,206,203,201,199,218,222,223,225,227,228,228,228,227,226,227,226,226,255,196,127,205,224,216,216,215,214,212,209,208,204,202,201,220,223,224,228,229,229,229,230,229,229,228,225,233,248,180,120,206,224,218,218,217,215,213,210,208,207,205,203,221,223,227,229,228,229,230,230,230,229,233,230,239,238,177,116,213,225,219,219,218,218,216,213,210,209,205,204,222,227,229,231,230,231,233,236,238,231,201,186,245,233,179,126,219,224,222,222,220,220,217,215,212,209,205,204,226,229,231,231,234,239,234,213,206,225,178,113,194,209,152,127,230,225,222,222,222,220,218,216,214,211,208,205,227,230,233,233,221,207,237,184,117,155,196,131,98,126,101,136,241,227,225,223,222,221,219,216,214,213,210,206,228,232,234,243,213,125,181,200,115,137,199,129,79,96,84,174,241,227,227,226,225,224,223,220,214,213,212,210,231,232,240,252,229,147,139,213,121,135,180,116,82,94,83,185,240,228,229,225,221,213,202,208,221,217,212,210,234,232,255,255,232,157,110,184,113,117,163,108,78,82,73,183,243,229,229,216,212,191,167,156,163,211,214,210,232,241,255,239,219,164,89,141,106,131,174,124,72,78,78,191,240,227,242,221,184,150,124,119,87,169,224,210,233,243,255,240,217,154,85,160,114,149,229,152,84,91,94,169,230,233,216,152,89,101,143,162,150,199,221,213,235,247,255,255,203,133,106,204,159,151,255,149,81,114,146,179,222,214,152,80,127,221,235,232,231,224,216,213,233,250,255,245,191,192,134,222,237,100,161,127,122,166,157,174,183,146,83,148,242,233,226,224,220,220,219,214,234,249,255,244,213,196,132,186,178,101,177,211,190,172,142,144,129,78,145,248,232,231,230,227,224,221,220,218,237,246,255,253,231,199,205,216,223,210,203,193,177,161,136,112,79,122,242,236,234,233,230,228,225,223,222,219,237,242,255,249,228,200,187,201,224,210,194,183,159,153,123,74,137,237,240,236,235,233,230,228,227,225,222,220,253,253,254,245,215,175,163,187,197,187,182,160,152,135,79,158,252,242,239,239,237,234,230,229,228,227,222,220,105,177,246,222,190,157,182,193,187,174,160,146,114,89,176,255,240,239,239,238,237,234,232,230,227,225,222,220,52,71,206,223,214,212,198,182,177,149,120,77,125,219,253,242,242,240,238,237,236,234,232,229,226,223,221,219,81,73,86,169,211,205,182,166,154,123,72,118,255,253,243,244,243,242,240,238,236,235,232,230,229,225,222,222,69,72,65,72,120,142,151,141,118,86,61,217,255,245,247,245,244,243,242,239,236,236,233,231,229,225,224,211
23,61,74,93,103,108,113,119,122,124,128,130,134,135,139,139,141,144,145,146,147,148,151,152,154,155,157,157,157,62,75,95,104,109,115,120,124,127,129,131,136,138,140,141,143,143,146,147,147,151,152,154,154,155,156,157,158,64,80,98,104,111,116,121,124,128,130,134,137,139,142,143,145,145,146,148,147,153,154,156,156,157,158,159,160,67,82,99,105,113,117,120,124,130,134,137,138,139,144,145,147,149,151,151,152,154,154,156,156,158,161,161,160,67,84,101,107,115,119,123,128,131,134,137,138,140,144,146,147,150,153,152,152,152,156,158,162,161,162,163,163,69,86,103,109,116,120,124,128,132,134,138,140,144,145,146,148,152,151,154,158,142,143,148,98,147,167,164,165,73,90,105,109,117,121,126,130,134,137,139,142,145,147,148,149,149,162,172,155,124,108,80,62,158,166,164,166,77,94,106,112,118,121,126,132,135,138,142,144,146,149,149,156,169,163,156,104,60,94,101,153,170,166,167,170,76,96,108,114,119,123,128,131,135,138,141,145,147,149,144,186,168,120,86,62,129,144,173,170,168,169,170,172,78,98,108,114,118,124,128,132,136,138,142,146,148,149,148,194,169,82,73,173,163,68,146,171,167,170,171,172,80,98,106,114,119,124,129,133,138,139,144,147,148,149,156,198,171,145,194,185,133,87,114,184,170,172,174,172,81,99,108,115,122,126,132,135,137,140,143,147,149,149,165,195,177,197,180,147,133,146,105,125,138,177,173,174,82,101,108,115,122,127,132,136,139,140,144,147,152,150,166,181,174,177,162,171,171,154,94,42,66,160,181,175,85,102,109,114,122,128,132,137,140,142,144,150,151,154,167,164,157,170,177,165,150,128,73,23,26,98,187,177,87,103,110,116,124,129,133,138,139,142,149,149,159,177,167,151,154,161,152,146,148,119,57,19,27,39,99,178,89,104,110,116,124,130,134,138,140,144,148,144,184,200,161,155,155,155,151,142,120,94,54,24,17,52,45,126,90,104,111,116,123,129,135,138,141,143,147,146,168,205,175,175,151,113,90,72,76,102,53,20,12,49,51,147,92,105,112,119,123,130,136,140,143,143,147,149,161,198,179,160,133,113,61,0,77,110,52,22,36,54,83,187,94,107,113,120,125,132,137,141,145,145,148,151,165,190,160,147,161,100,40,21,97,78,20,20,60,54,135,192,96,107,111,118,126,133,137,143,146,146,150,152,163,195,158,166,163,85,10,18,27,0,10,38,64,75,184,184,98,107,113,119,125,132,138,141,144,147,151,152,164,188,162,173,150,101,35,0,0,10,46,60,50,122,191,181,99,108,114,121,126,134,138,140,144,147,149,152,167,183,163,179,152,101,55,0,16,50,67,70,65,171,184,183,100,108,114,121,127,135,139,143,145,147,152,151,170,182,169,177,152,102,68,12,33,64,74,60,109,194,180,185,100,107,115,123,128,133,139,143,145,150,154,153,173,181,174,173,145,104,67,15,42,71,73,51,142,192,183,186,101,107,114,123,129,134,139,143,146,148,154,154,176,184,166,161,140,103,68,34,40,71,66,60,175,186,185,186,101,107,115,124,127,133,140,144,146,150,155,155,174,181,159,152,133,102,71,50,41,67,50,101,194,180,184,185,101,107,116,124,127,133,140,144,147,150,154,155,175,179,160,152,129,106,80,55,46,56,54,167,188,183,185,186,99,107,115,122,129,134,139,145,148,149,155,154,185,178,163,153,130,110,86,58,51,46,119,192,182,187,187,187
14,172,173,174,175,177,177,177,177,178,177,176,176,175,174,173,172,171,170,169,168,166,164,163,162,160,159,158,157,173,174,175,176,178,178,179,179,179,178,178,178,177,175,174,173,172,171,171,169,167,166,164,163,162,160,158,157,175,176,177,178,179,180,180,180,180,180,179,177,173,165,165,171,172,172,172,171,169,167,166,164,164,162,160,159,177,178,179,180,180,181,182,182,182,178,168,156,145,125,118,132,148,165,171,173,172,170,168,166,165,164,162,160,178,179,180,182,183,182,183,184,181,168,144,121,100,81,74,88,105,127,146,160,172,172,170,168,167,166,164,162,179,180,181,183,184,184,184,182,174,152,115,83,68,63,62,71,85,99,106,122,165,173,171,170,168,167,165,163,180,181,183,184,185,186,182,174,157,125,81,55,51,53,53,56,64,77,78,92,151,173,173,172,170,168,166,164,181,182,184,186,187,187,178,161,134,93,63,50,46,49,50,51,53,62,67,75,114,163,174,173,171,169,167,165,182,183,185,187,188,187,177,155,114,70,57,52,50,51,51,58,62,67,72,73,89,152,175,174,172,170,168,167,183,185,186,188,189,188,180,157,114,66,53,50,52,54,67,113,126,126,101,75,79,131,167,173,173,172,170,169,184,186,187,189,189,189,181,158,115,67,52,48,52,60,105,169,181,180,158,116,88,98,127,155,172,172,171,170,185,187,188,189,190,190,182,159,114,72,59,53,53,88,157,186,188,187,182,157,112,98,100,134,171,173,172,171,186,187,188,190,191,190,183,163,123,84,67,58,65,133,185,190,190,189,180,143,111,101,97,138,174,174,173,172,187,188,189,191,192,190,183,168,133,95,70,59,75,156,191,192,191,188,162,118,103,95,101,156,177,176,174,173,188,189,191,193,192,188,182,170,137,101,74,58,82,166,192,192,191,177,131,99,95,88,116,171,179,177,175,174,189,190,192,194,193,187,181,169,139,104,74,58,73,134,170,186,184,150,109,91,85,84,138,178,180,178,176,175,189,191,193,194,193,187,182,170,139,106,77,62,63,80,105,137,144,112,100,91,82,111,167,182,181,179,177,176,190,191,193,194,193,186,185,172,139,107,81,64,63,70,78,89,92,88,92,87,106,159,182,183,181,179,178,177,191,193,194,195,192,185,186,171,137,107,83,64,63,70,77,83,82,81,85,98,152,183,185,184,181,179,178,177,191,193,194,195,191,184,185,167,134,108,86,65,63,71,78,83,84,77,82,133,181,188,186,184,182,180,179,177,192,194,195,196,191,184,181,162,132,110,88,66,64,74,82,84,81,76,107,170,189,189,187,185,183,181,180,179,192,194,195,196,189,183,175,154,129,109,87,66,65,77,84,83,75,89,156,188,191,189,188,186,184,182,181,180,192,193,195,196,188,180,169,149,124,105,85,66,66,77,81,76,72,122,184,193,192,190,188,186,185,183,181,179,192,194,196,196,187,176,165,145,121,101,82,66,65,74,75,69,92,164,193,193,192,190,188,187,186,184,182,180,193,195,196,195,187,173,160,141,117,95,78,64,64,68,68,80,142,190,195,194,193,191,189,187,186,184,182,181,193,195,196,195,186,170,158,138,114,91,73,61,60,62,81,136,186,197,196,195,193,191,189,188,186,185,183,181,192,195,195,193,184,167,154,137,112,87,68,57,65,98,148,187,198,198,196,195,193,191,190,188,187,185,183,182,191,194,193,192,179,161,150,135,110,83,63,57,102,166,192,197,197,196,195,194,192,190,189,187,186,184,182,181
0,190,192,193,193,194,195,195,195,195,195,194,194,194,194,194,195,195,195,195,195,195,195,196,195,194,194,194,194,192,194,195,194,194,196,197,196,196,195,195,195,196,196,196,194,194,195,196,196,196,197,196,196,196,196,196,196,195,195,196,196,196,196,197,197,196,197,197,196,196,195,203,191,161,167,194,190,190,197,200,195,196,196,196,197,195,195,196,198,200,198,197,198,198,198,201,199,171,163,206,186,157,133,131,148,143,175,188,156,186,198,197,197,196,196,197,198,199,199,198,199,199,199,220,208,172,146,176,189,167,150,92,134,136,126,163,131,169,200,198,199,196,197,198,198,198,199,200,204,185,176,219,207,179,157,166,207,174,157,100,153,144,126,136,132,159,202,201,201,196,198,199,200,199,200,205,225,184,153,180,216,187,164,154,220,187,163,106,165,150,120,109,136,132,203,201,201,198,199,199,200,201,200,216,221,193,169,157,223,195,164,141,221,190,161,102,166,148,107,96,141,99,190,202,202,199,200,200,201,201,211,210,212,203,176,143,208,197,158,125,215,189,148,89,135,133,98,88,145,95,141,204,203,200,201,201,201,203,215,189,203,210,181,140,180,200,153,108,185,174,134,83,109,118,90,90,149,103,116,205,205,201,201,203,201,210,208,176,181,204,179,137,149,191,144,99,149,159,125,87,94,107,81,105,157,117,117,206,206,201,202,202,202,213,204,178,167,188,163,125,121,173,135,94,114,152,120,84,95,111,87,150,172,128,122,207,208,199,200,201,204,213,196,167,141,171,155,119,101,163,131,85,92,149,118,83,112,124,102,175,173,130,129,207,207,198,200,201,201,223,208,173,135,138,151,114,89,155,137,84,87,154,127,130,174,155,122,171,173,130,139,206,206,200,201,201,203,223,212,181,143,107,135,129,91,157,151,98,97,157,165,178,177,160,136,133,159,122,143,207,207,202,202,203,205,227,216,191,159,126,115,132,108,156,165,146,174,189,187,179,168,149,131,116,116,104,136,208,207,202,203,204,206,226,222,199,173,155,145,141,153,174,185,197,201,201,193,177,161,139,121,111,95,90,132,210,207,202,202,203,206,224,223,207,188,174,162,153,155,175,189,202,202,202,194,173,156,137,115,102,92,86,154,210,209,202,202,203,205,219,219,213,200,190,172,161,158,170,188,199,200,196,188,168,151,132,111,96,89,118,197,212,210,201,202,202,198,214,220,221,211,195,176,163,161,170,192,201,201,190,181,164,147,127,106,90,108,190,208,210,211,166,169,173,171,198,217,224,214,196,180,165,160,170,195,202,195,184,174,159,138,116,99,90,174,208,209,210,209,102,104,106,103,147,216,217,208,197,183,170,159,169,191,192,181,168,159,145,127,107,95,105,160,166,169,171,173,104,104,103,102,116,213,206,198,197,188,176,159,166,188,185,169,150,137,125,114,99,96,99,103,104,105,122,153,102,104,104,104,108,208,196,192,198,189,174,158,160,185,180,159,129,112,104,97,97,103,104,107,131,174,208,208,102,103,102,105,107,203,193,193,198,186,173,164,158,179,173,146,110,96,91,95,106,116,140,182,213,215,209,196,102,102,102,105,103,204,204,197,196,182,169,165,153,163,161,131,97,89,89,102,125,191,224,232,226,221,213,194,102,102,102,103,101,202,211,204,195,180,170,170,150,154,153,122,91,84,96,146,211,231,235,230,220,225,228,215,104,103,103,103,102,193,209,210,194,180,170,170,147,146,149,118,88,77,147,215,225,230,232,219,215,222,231,232
2,193,194,195,195,194,195,195,195,194,194,193,189,195,191,192,192,190,190,189,187,187,186,185,183,182,182,179,178,196,197,197,197,197,196,196,196,196,196,192,205,208,151,170,197,194,193,192,190,190,189,187,186,185,183,182,180,199,199,200,200,200,199,198,199,196,195,220,215,162,122,125,179,186,149,187,196,192,191,190,189,188,186,184,183,201,201,200,201,202,201,202,199,203,228,223,153,124,116,125,151,156,117,165,195,192,192,191,191,190,189,186,185,202,203,202,202,203,202,201,211,245,231,176,126,122,115,107,117,119,115,110,164,202,193,195,192,191,190,189,187,203,204,203,204,203,205,199,237,237,173,133,114,116,119,114,94,111,123,113,114,163,203,195,194,192,191,189,189,203,205,205,206,207,202,214,247,198,131,109,96,100,108,109,110,111,112,111,101,160,203,194,196,194,193,192,191,206,207,207,208,208,206,242,229,166,129,114,105,93,111,130,135,115,127,139,169,200,197,197,196,196,195,194,192,209,209,209,210,204,229,241,185,136,115,118,116,108,124,121,124,173,198,203,206,202,200,198,198,197,197,195,194,210,210,211,207,221,247,227,166,127,106,115,112,121,114,142,196,210,207,205,203,204,203,201,199,199,199,196,195,211,211,210,211,244,245,211,161,135,125,111,114,124,151,219,210,208,209,208,208,206,204,203,202,201,199,197,197,212,214,210,223,247,235,189,151,133,133,120,118,120,178,220,209,210,210,210,208,207,206,204,204,203,201,200,199,215,216,211,239,247,225,176,140,131,131,128,116,134,212,215,213,209,211,210,209,209,208,206,205,204,203,202,200,217,213,223,247,244,210,165,140,128,127,128,120,179,223,213,214,213,211,211,211,210,209,208,207,205,204,203,203,218,215,241,247,236,192,152,136,131,125,125,127,210,218,216,216,215,213,212,211,210,210,208,208,208,206,204,204,216,226,247,247,222,179,144,133,131,131,120,149,227,215,218,217,216,216,214,213,212,211,212,211,208,207,205,204,216,240,247,243,207,163,136,132,129,130,105,173,230,217,219,219,218,216,215,215,215,212,208,203,209,211,207,206,228,247,247,231,186,148,135,128,122,118,105,137,224,224,217,219,218,218,217,217,205,188,184,174,151,205,210,209,243,247,244,211,174,150,139,123,112,113,119,112,147,217,228,223,223,222,220,195,189,183,167,138,151,208,212,209,245,246,235,200,176,156,138,115,107,119,118,127,128,139,181,208,198,190,191,184,194,167,144,183,215,214,211,210,247,247,238,201,173,152,131,114,115,131,134,147,156,144,138,164,171,183,190,193,183,142,198,224,214,214,213,212,191,200,208,190,169,145,127,118,125,140,153,157,165,164,156,179,182,186,182,164,138,171,225,216,216,216,214,214,92,92,85,86,100,97,99,110,131,146,155,161,167,169,157,172,161,154,161,174,194,220,220,219,218,217,214,213,99,90,71,67,75,71,62,67,96,143,153,159,164,158,136,142,171,202,218,228,227,221,221,220,219,218,217,215,94,84,71,73,78,70,64,59,55,86,148,153,144,141,173,210,230,231,227,224,225,225,223,221,221,220,219,217,89,81,73,74,73,66,61,56,59,53,96,143,168,216,234,232,227,227,227,227,225,224,224,222,221,221,219,219,84,80,73,74,71,64,58,55,60,51,88,219,234,232,228,228,230,230,229,228,227,225,225,224,222,222,220,219,85,78,72,72,70,63,57,56,62,48,178,247,226,230,230,230,230,230,229,229,228,227,227,227,224,223,222,220
5,180,182,185,188,188,188,188,189,191,190,189,190,191,191,192,191,197,182,189,190,188,187,186,185,184,182,181,181,182,185,187,189,189,189,191,190,203,196,164,193,193,193,193,193,214,155,182,193,192,189,187,187,186,185,183,182,184,186,189,191,191,193,194,193,203,219,149,189,196,194,194,202,220,144,179,195,193,192,190,189,188,187,186,186,187,188,190,193,193,194,194,195,202,230,157,183,199,197,195,220,204,140,189,196,195,194,193,192,190,189,189,187,189,191,193,194,197,212,171,192,203,240,177,178,201,199,204,229,178,148,199,197,197,196,195,195,194,192,190,189,191,193,195,196,197,224,168,175,204,245,198,172,202,199,221,224,158,169,202,200,200,198,196,197,196,194,192,192,194,195,196,198,197,225,193,160,207,241,193,165,203,206,224,194,142,188,203,202,202,200,199,198,196,195,194,194,195,196,199,200,199,224,224,165,204,232,184,154,204,210,205,151,151,204,204,203,203,202,201,200,199,196,196,195,196,198,200,202,200,216,246,184,192,231,198,158,199,201,189,133,180,207,206,205,204,203,202,202,201,200,198,198,198,199,201,203,203,211,250,209,172,227,198,164,173,180,177,142,198,208,207,207,207,204,203,203,202,202,201,199,199,200,202,204,205,208,244,241,188,205,189,173,138,155,158,154,206,210,209,209,208,207,206,205,204,202,201,200,201,202,204,206,207,208,228,254,238,194,167,170,129,132,138,170,211,211,211,208,208,207,206,205,204,204,202,202,202,204,206,207,208,209,214,246,254,227,165,150,131,125,123,177,210,208,212,216,220,223,222,215,206,202,190,194,204,206,208,209,210,211,211,229,254,247,202,144,126,123,120,146,185,199,193,177,188,200,191,194,202,189,152,175,205,207,208,210,211,213,213,216,247,252,216,156,127,122,120,131,150,167,152,131,149,161,162,175,181,176,149,194,207,209,210,211,213,215,215,215,237,253,216,158,129,119,119,127,126,127,137,179,208,209,210,209,205,183,162,204,208,209,211,213,215,216,217,216,236,253,217,163,132,118,119,118,127,175,206,218,217,216,209,208,192,163,196,210,208,211,213,214,215,218,218,218,242,253,218,168,135,120,114,106,183,221,219,218,217,209,198,204,160,176,213,210,209,212,215,216,216,218,218,219,246,252,212,167,134,118,110,113,160,192,213,215,202,197,198,185,141,192,215,212,210,213,216,217,217,217,219,224,251,248,206,165,130,111,108,118,122,139,158,171,180,191,188,159,163,211,214,203,211,214,215,217,218,219,219,229,254,244,202,159,126,107,108,114,125,144,150,159,177,173,160,179,213,217,177,139,210,213,215,216,218,219,219,236,255,238,194,153,129,110,113,121,141,158,155,151,158,150,186,216,219,200,132,122,212,214,216,218,219,220,220,243,254,228,184,157,138,114,120,139,155,160,156,139,143,193,219,218,218,179,122,117,213,215,217,219,221,221,224,250,252,217,181,167,144,116,123,146,157,156,147,148,200,223,221,223,186,123,106,95,213,216,218,221,222,222,231,254,249,216,188,169,143,116,121,144,148,145,140,198,226,224,222,206,140,107,98,85,215,217,219,221,221,221,241,255,247,222,193,162,133,108,112,131,135,132,179,226,226,222,183,137,112,99,86,75,216,217,220,221,222,225,250,254,243,219,175,129,103,85,90,100,122,172,223,229,222,173,127,113,103,96,86,73,200,204,207,207,193,210,254,250,228,194,136,92,76,67,71,68,137,226,229,225,171,118,109,102,94,91,91,80
12,183,184,186,188,190,190,193,196,196,197,197,197,199,197,198,199,198,197,199,199,198,197,197,197,196,195,195,195,185,187,188,190,191,192,195,197,198,199,198,199,199,200,200,200,200,199,200,201,200,199,199,198,197,197,196,196,185,187,190,191,192,193,196,196,198,200,200,200,201,201,200,202,201,202,201,202,202,202,202,200,199,199,197,198,185,187,190,192,193,195,196,198,199,200,201,202,203,202,202,203,204,202,201,203,203,204,203,201,201,201,199,199,187,189,192,193,195,196,198,199,200,202,203,204,203,202,207,206,203,204,206,204,202,203,202,202,202,202,202,200,188,190,192,194,197,198,200,201,202,203,203,202,204,203,193,201,209,197,178,197,206,203,202,204,204,204,204,202,189,191,193,195,197,199,201,203,204,203,205,201,221,220,175,171,228,192,141,146,215,206,210,204,204,205,205,204,190,192,195,196,198,199,201,203,204,204,204,203,244,229,185,163,224,189,141,110,178,168,175,210,205,206,206,206,192,195,197,198,200,201,201,203,203,206,213,177,186,218,179,154,218,183,135,117,193,159,107,180,212,205,207,208,192,194,196,199,201,202,204,206,200,230,222,189,135,177,174,145,213,183,125,151,204,168,115,136,218,207,207,207,192,194,196,199,201,203,205,204,215,245,234,198,148,135,192,144,227,215,150,173,209,178,118,127,217,209,208,207,193,197,198,200,202,204,206,202,232,219,229,200,151,123,205,148,204,205,130,181,238,191,112,130,218,209,210,209,194,197,199,201,202,206,207,206,240,213,217,200,151,109,143,133,106,160,144,180,198,142,91,137,219,209,210,210,196,198,200,202,204,208,204,229,240,198,205,196,153,113,93,95,92,185,219,205,180,158,100,145,220,209,212,210,197,199,201,204,205,206,206,242,225,182,187,192,154,121,109,112,185,209,199,191,172,162,120,163,223,211,213,210,198,199,203,205,207,206,215,241,217,194,167,184,187,121,101,205,230,205,191,179,151,138,118,167,222,212,214,212,199,200,203,206,208,205,228,241,220,205,173,154,164,121,165,241,228,202,187,171,143,133,110,176,223,213,215,213,200,202,203,206,210,205,234,241,220,200,191,161,158,178,228,239,226,196,180,160,136,128,106,190,222,215,215,214,201,203,205,208,211,206,235,240,222,206,197,174,177,184,232,239,219,190,172,153,132,126,99,180,224,213,216,216,202,203,205,208,211,207,233,244,227,214,205,185,168,195,236,232,210,188,164,143,128,120,99,199,223,214,216,216,202,205,207,209,211,209,228,244,228,214,204,190,173,214,229,216,200,182,159,136,126,101,155,226,216,216,216,217,203,206,208,209,212,211,223,241,221,210,195,182,191,219,207,203,188,170,149,132,106,142,223,220,218,218,219,217,204,206,208,209,212,211,227,239,216,209,192,190,208,216,197,196,179,158,143,117,138,221,221,220,220,219,219,218,205,207,210,211,214,209,235,238,223,216,203,203,216,214,195,187,170,155,130,121,211,224,221,221,220,220,220,220,206,208,210,212,216,209,248,245,234,218,209,214,215,202,191,167,155,141,113,176,226,222,223,221,221,221,220,220,206,209,211,212,213,213,251,243,241,223,216,215,204,194,175,151,146,114,154,225,224,225,223,222,222,222,221,220,206,209,212,214,211,217,242,231,235,217,214,204,199,179,161,149,131,122,209,227,225,226,225,223,222,222,222,221,207,210,213,215,209,222,239,216,213,204,203,206,192,167,163,145,115,160,226,226,226,226,225,224,223,223,223,222
6,236,239,241,241,242,241,243,243,241,242,242,240,239,238,238,239,237,236,234,233,232,231,230,230,229,226,223,222,238,239,242,244,245,245,245,245,244,244,245,244,242,239,239,239,237,236,235,235,235,235,234,231,231,228,226,223,239,241,243,245,246,247,248,247,246,245,245,244,243,242,240,241,240,238,237,236,236,235,233,231,231,230,228,226,240,242,245,246,247,249,248,248,250,248,247,247,245,244,243,241,242,241,238,238,238,236,235,233,233,231,229,228,242,245,246,248,250,251,250,249,251,250,248,248,248,246,245,245,246,243,240,235,236,234,236,231,230,227,221,226,244,245,247,251,252,252,253,252,252,252,253,252,250,245,238,233,228,228,225,199,205,220,218,201,215,206,227,255,245,247,249,252,253,253,252,253,251,250,238,227,230,232,225,228,230,230,219,213,205,229,227,208,217,212,217,244,245,248,251,253,253,254,253,252,255,255,227,207,219,232,235,240,241,239,219,199,199,194,195,179,171,171,161,171,247,250,251,253,254,255,255,251,255,255,236,221,210,210,212,206,201,192,183,170,141,142,127,148,183,189,210,225,249,251,253,254,255,255,255,255,255,255,254,236,214,200,194,185,178,166,149,126,97,83,100,227,249,243,242,237,251,252,254,254,255,255,254,255,255,255,255,226,190,185,193,201,197,189,177,169,165,117,199,252,238,238,237,235,252,253,255,255,255,255,254,255,255,255,252,192,168,179,184,197,201,196,185,175,177,133,208,252,242,241,239,236,252,255,255,255,255,255,255,255,255,255,219,176,185,179,167,174,194,178,171,171,156,115,218,251,244,242,239,238,253,255,255,255,255,252,255,255,255,255,242,224,202,183,157,166,197,185,181,183,153,146,252,246,245,244,241,239,254,255,255,255,255,255,255,255,255,255,255,255,210,181,192,200,198,186,173,159,159,140,229,252,245,244,241,239,255,255,255,255,253,255,255,255,255,255,255,255,199,168,179,184,186,178,161,152,149,119,228,252,246,245,243,240,254,255,255,255,254,255,255,255,255,255,255,245,198,174,167,157,164,170,167,160,129,155,254,248,247,247,243,239,253,254,255,243,255,255,255,255,255,255,255,254,232,208,165,129,148,171,164,160,122,204,255,245,247,244,239,242,253,255,250,238,255,255,255,255,255,255,255,255,255,239,179,152,174,191,174,152,136,146,252,246,244,244,251,228,255,255,238,255,255,255,255,255,255,255,255,255,255,221,164,151,161,158,147,135,116,142,252,251,255,247,185,110,255,246,248,255,255,255,255,255,255,255,255,255,239,193,158,155,150,138,127,121,131,229,255,240,186,123,76,69,253,239,255,255,255,255,255,249,241,246,242,224,197,169,155,139,128,176,188,210,236,215,160,104,69,66,67,67,239,249,255,255,255,254,241,238,235,231,227,200,176,162,167,151,183,220,186,161,118,83,54,48,58,65,61,59,228,255,255,255,251,238,225,220,230,223,210,197,185,164,137,105,98,72,59,55,58,68,39,44,51,57,55,56,245,255,255,255,246,235,218,210,210,201,187,176,151,120,87,63,50,57,55,61,65,56,29,39,45,52,54,52,255,255,255,251,239,217,196,194,183,162,148,131,103,74,62,72,47,44,49,54,60,49,25,34,41,51,52,48,255,255,255,254,223,184,182,177,166,149,112,85,67,56,55,69,53,36,50,50,53,44,23,32,42,52,49,49,255,255,255,246,189,175,198,183,156,128,77,64,54,50,50,62,54,40,49,39,49,37,22,33,43,51,45,44
10,93,101,113,119,123,128,131,133,136,139,141,143,144,146,147,149,151,153,154,155,156,157,159,159,160,161,162,163,94,102,114,120,123,128,131,133,137,140,142,143,145,147,150,151,147,148,157,156,158,159,160,160,162,163,165,165,95,106,118,122,124,130,132,134,139,142,142,144,146,149,149,159,148,113,157,158,160,160,162,163,164,166,166,167,98,107,117,122,126,130,134,137,139,141,144,146,148,151,149,168,156,100,146,162,161,162,164,165,166,166,168,169,98,109,119,123,127,131,135,138,140,142,144,147,150,151,149,169,161,106,135,165,161,165,166,166,167,167,169,169,99,110,119,123,127,132,137,139,140,143,145,145,149,155,152,163,166,120,125,168,161,164,166,168,168,169,169,170,101,111,121,123,129,133,137,139,141,143,145,149,155,129,150,165,177,135,111,168,164,165,166,169,170,169,170,171,103,114,122,125,130,134,137,140,142,143,145,151,164,106,113,170,174,147,104,161,167,167,168,168,170,172,172,173,103,115,123,126,130,135,136,142,147,149,149,163,150,112,86,165,165,144,101,155,170,169,169,168,170,171,171,172,105,116,123,127,130,137,150,124,115,112,120,156,162,133,87,143,163,133,97,145,172,169,170,170,172,172,173,173,106,117,123,127,130,140,141,104,80,76,73,94,164,148,90,114,152,119,97,134,175,168,172,172,173,175,175,175,107,119,123,128,133,138,133,112,86,74,96,82,136,161,104,108,133,103,98,121,177,169,172,173,174,175,176,175,108,118,124,129,133,138,143,143,141,122,97,74,126,168,118,96,103,90,97,110,177,170,173,174,175,176,175,175,108,119,123,129,134,139,142,139,171,164,96,68,150,170,129,81,75,89,99,103,174,172,174,175,176,176,175,176,109,119,123,128,133,136,140,140,172,158,104,58,165,172,136,91,69,91,102,89,163,175,174,175,177,176,176,176,110,120,124,129,135,135,159,158,169,167,103,50,182,172,134,96,70,86,99,81,151,180,174,176,177,178,178,178,112,121,125,129,136,132,173,171,162,161,92,100,187,162,131,91,70,79,94,72,141,182,173,176,176,178,178,179,113,120,125,131,135,135,154,171,157,152,116,184,174,154,136,94,75,79,83,74,161,178,174,176,178,178,179,179,114,120,125,131,136,140,144,151,132,153,166,199,172,149,132,100,78,80,71,98,181,172,175,176,178,179,179,180,115,121,126,131,136,140,143,154,131,170,195,192,170,145,125,100,80,77,64,135,181,173,175,176,178,180,180,180,115,121,126,130,135,141,142,172,158,144,192,186,166,143,123,102,82,70,72,167,176,175,176,177,179,180,180,179,115,121,126,131,135,139,142,182,172,137,186,183,167,141,122,104,85,63,102,182,172,175,176,178,179,180,180,180,116,122,126,131,134,138,146,190,179,161,192,178,166,144,123,106,83,60,144,180,173,176,178,179,179,179,180,181,115,121,126,131,136,138,149,196,183,170,185,180,174,147,123,106,75,78,174,174,175,177,178,179,180,180,180,181,116,121,127,133,137,139,149,194,177,176,180,177,181,153,120,106,69,110,182,172,175,176,177,179,180,181,181,182,117,121,126,131,136,139,149,188,169,171,179,178,181,155,121,101,65,145,179,173,176,177,179,179,180,181,181,182,117,122,127,133,136,139,147,169,169,182,181,176,177,150,119,89,87,175,173,174,176,178,178,179,180,180,181,182,116,121,127,133,135,140,143,175,183,188,180,170,171,145,116,78,117,180,171,174,176,178,179,180,181,180,181,182
12,185,185,187,189,189,192,192,192,191,191,191,191,190,190,189,188,188,189,187,187,187,185,185,185,183,182,182,181,186,186,187,189,191,193,193,193,193,194,193,193,192,191,193,193,192,189,190,188,186,186,186,185,184,183,184,183,187,187,187,191,193,193,193,194,194,195,194,196,193,193,181,166,183,192,183,185,196,189,187,185,186,186,186,185,188,188,190,192,193,194,195,194,195,195,195,195,193,190,159,119,93,174,153,116,123,185,193,188,184,186,186,186,188,189,193,193,193,194,195,196,197,197,194,194,197,169,138,108,91,156,131,109,47,129,181,182,194,186,187,186,189,191,192,194,196,195,196,197,195,196,186,148,176,170,155,83,129,176,137,105,91,148,130,90,141,196,186,186,191,192,192,194,197,197,196,197,197,202,189,134,159,206,157,78,168,190,139,109,123,135,115,79,55,145,196,186,192,193,193,196,196,198,198,196,206,216,193,145,141,194,128,75,193,190,122,112,169,149,115,85,61,77,195,187,192,194,194,196,197,200,200,196,212,202,185,142,92,98,101,54,119,139,71,127,203,150,132,80,46,69,190,189,194,195,196,196,199,201,198,204,223,198,161,123,94,37,27,79,126,146,120,166,202,144,100,54,43,76,193,188,194,195,196,198,200,199,202,216,198,188,140,109,89,29,96,188,194,182,168,183,141,95,74,73,52,78,200,190,195,196,198,199,200,197,215,218,183,151,139,156,83,121,205,195,182,173,155,166,166,111,112,107,66,109,203,189,195,197,199,199,201,201,227,213,189,165,138,162,151,215,204,186,177,182,162,162,161,123,93,95,57,161,200,191,196,199,200,201,201,206,228,218,201,197,167,168,194,200,205,183,186,176,151,163,144,105,78,66,58,189,195,192,197,199,201,202,201,208,227,222,208,196,185,174,186,188,192,183,182,167,160,156,125,87,71,47,85,206,192,193,198,200,202,203,203,208,226,223,209,189,173,172,176,184,189,181,178,162,156,132,99,72,66,37,120,210,192,195,198,199,201,202,202,207,224,220,195,173,168,177,177,189,194,180,169,156,133,102,77,64,59,31,152,209,196,195,197,201,203,203,203,207,209,202,190,187,185,180,179,199,187,170,149,140,116,86,72,63,40,63,198,200,197,195,199,202,202,205,205,211,219,220,215,207,193,174,176,197,175,150,129,121,96,79,71,41,48,173,204,198,198,198,200,201,203,205,204,219,226,221,212,198,186,173,171,188,162,133,117,100,85,70,41,68,174,206,197,199,198,199,200,202,203,204,206,225,224,219,208,188,177,174,176,172,147,124,104,88,62,52,122,197,208,200,201,200,201,200,199,202,204,201,210,227,219,210,201,186,171,172,176,162,138,111,83,56,63,169,212,202,201,202,201,201,200,199,206,201,202,198,218,217,207,195,194,184,163,168,164,141,123,103,66,51,173,211,200,203,201,201,201,200,198,196,160,200,208,202,216,199,193,185,183,172,171,167,156,129,105,88,53,138,209,200,203,203,202,201,201,200,199,198,71,74,137,222,203,183,174,171,171,179,170,157,148,118,96,67,70,195,206,205,203,203,202,201,201,200,199,199,80,63,58,165,192,173,163,170,181,184,158,143,136,107,86,47,116,214,206,206,205,203,202,202,201,200,201,200,70,73,74,56,76,90,87,96,114,131,128,128,120,95,71,44,169,213,205,207,206,204,203,202,201,200,202,199,69,66,73,59,7,27,34,30,28,31,37,55,74,74,44,78,198,207,206,206,206,205,203,201,200,200,200,199
6,154,157,161,163,167,170,173,175,177,179,181,181,182,184,185,186,187,186,187,187,187,188,188,187,186,187,185,184,155,159,162,165,168,170,173,176,178,179,181,182,183,185,186,186,187,187,188,188,188,188,188,188,187,188,187,186,155,158,161,165,169,171,173,176,178,179,182,183,184,185,186,188,187,188,188,189,189,189,188,189,188,188,187,186,156,159,163,166,170,173,176,178,179,180,182,184,186,186,187,188,188,189,190,190,189,190,191,189,188,188,188,188,156,161,164,168,171,173,176,178,179,181,182,185,186,188,187,188,190,192,192,191,191,191,191,191,191,189,190,190,157,160,165,169,172,174,176,179,181,181,182,185,188,189,187,189,191,191,192,192,192,192,193,193,193,191,190,190,158,162,165,169,171,174,177,179,181,181,183,182,184,187,184,184,185,190,189,184,183,173,171,181,188,191,192,191,159,162,167,168,175,187,190,179,181,187,192,195,198,201,189,192,192,206,202,190,185,168,156,172,176,163,193,191,157,160,163,182,201,207,200,178,163,170,191,198,200,197,186,181,190,188,185,184,175,162,154,161,158,150,194,192,156,169,193,208,206,205,199,184,147,123,142,149,152,154,155,154,149,144,148,147,144,144,150,158,163,185,194,192,187,208,208,200,200,206,208,186,145,107,98,92,94,115,127,140,161,178,183,185,188,190,192,193,194,194,192,192,210,205,200,203,208,206,188,151,132,111,103,103,97,106,167,194,195,194,194,195,196,195,194,194,194,193,193,193,209,204,205,203,203,193,179,154,125,109,102,111,114,106,113,140,192,197,196,196,195,195,195,195,195,194,193,193,208,208,206,203,204,204,208,180,127,109,96,97,114,117,115,93,121,193,196,196,196,196,195,195,194,195,194,193,203,205,203,201,204,213,207,167,127,114,115,111,104,105,115,110,88,133,200,197,197,196,195,195,195,195,193,192,201,201,198,198,206,213,183,148,128,120,118,120,119,97,93,98,100,106,196,198,197,196,196,195,195,196,194,194,193,194,191,192,199,200,177,145,119,110,117,127,134,114,103,91,91,130,192,191,191,190,189,189,189,189,188,189,195,195,193,191,196,198,187,150,116,94,91,106,139,134,119,102,97,117,129,127,125,125,123,123,122,121,120,119,197,198,199,198,204,202,185,140,115,116,113,109,102,111,118,113,109,100,96,97,98,99,98,95,94,94,93,92,196,194,191,191,201,193,172,137,122,125,123,117,110,103,99,105,107,104,103,104,104,104,103,101,101,101,100,98,186,180,174,181,186,175,160,140,129,128,127,117,109,103,104,109,110,109,106,103,103,102,103,103,102,101,100,98,172,167,162,171,170,155,141,130,121,115,121,119,116,113,110,110,109,109,106,105,104,103,103,103,103,102,102,101,156,153,146,142,138,126,115,109,105,98,101,106,111,112,108,106,107,106,105,104,103,102,102,103,102,101,101,101,133,126,116,110,109,110,111,110,109,110,108,107,109,109,108,108,107,107,106,106,103,103,103,103,102,101,101,97,103,106,108,108,110,111,111,111,110,110,111,110,110,109,108,108,106,106,106,106,103,103,103,102,102,100,95,117,106,110,111,110,110,110,110,110,110,110,110,108,109,108,108,106,105,105,105,105,103,103,103,103,104,96,108,190,110,111,111,112,112,110,110,110,110,110,109,109,109,108,108,106,106,105,105,105,104,104,104,105,104,97,177,196,111,110,111,111,110,110,109,108,109,108,108,109,109,108,108,107,106,105,105,105,104,104,103,108,99,153,203,175
17,123,125,127,129,131,131,132,133,134,134,135,136,137,138,139,140,140,141,141,141,142,143,143,143,143,144,144,144,124,125,128,129,130,131,132,134,135,135,137,137,138,139,141,141,142,144,143,143,143,144,143,144,145,144,145,145,124,126,128,130,131,132,133,134,136,136,138,139,139,140,141,142,144,144,146,146,144,148,145,145,145,145,146,146,124,126,128,131,133,133,134,135,137,138,138,141,142,142,142,144,145,138,119,133,109,125,151,146,147,146,146,146,126,127,129,131,133,134,136,137,138,139,140,141,142,143,144,145,147,148,114,84,81,100,154,146,147,147,147,147,126,128,130,132,133,135,137,137,139,141,142,142,143,143,145,145,145,162,131,84,60,110,154,147,149,149,148,147,127,129,131,133,134,136,138,138,139,141,141,142,143,144,145,147,144,162,140,101,55,119,156,148,149,149,148,148,127,129,131,133,135,137,138,139,139,141,143,144,146,148,145,148,145,163,151,114,69,137,153,149,149,149,148,148,128,131,132,134,135,137,138,140,141,141,142,146,135,128,152,148,145,166,150,116,85,149,151,150,149,151,150,149,130,131,133,134,136,138,139,141,142,143,143,147,139,102,115,152,152,168,145,114,88,150,152,151,151,151,151,150,129,132,134,135,136,138,140,140,140,140,141,155,143,124,102,120,139,162,147,114,86,149,153,152,152,152,152,151,131,133,133,135,138,139,138,145,152,128,102,134,156,151,152,119,80,115,138,117,88,147,154,153,153,153,151,151,131,132,134,137,139,140,137,154,160,128,94,131,138,158,161,141,95,76,114,108,84,143,156,153,154,153,152,153,131,133,135,138,139,140,142,153,131,146,121,119,105,107,166,156,121,74,86,95,78,141,158,154,154,152,152,153,131,133,135,138,139,140,143,161,120,109,108,75,68,58,160,168,139,87,71,80,72,139,158,154,155,154,154,153,132,134,136,138,141,140,150,150,115,99,106,84,80,78,142,181,149,106,70,79,69,132,160,153,155,155,155,154,132,134,137,139,141,139,153,155,137,123,116,96,106,107,125,187,150,118,78,76,71,125,161,154,155,156,156,155,132,134,137,139,142,139,162,149,123,117,111,103,121,126,153,168,149,127,86,71,66,126,162,155,156,156,156,155,132,134,136,139,142,145,163,135,118,111,108,118,119,160,183,151,138,125,85,66,59,125,163,155,157,156,155,156,133,134,137,141,141,148,167,139,125,113,112,119,137,183,174,154,131,116,84,64,59,132,161,155,157,156,156,156,133,136,139,142,140,152,170,142,131,114,114,122,163,180,164,150,125,110,80,66,64,148,158,155,156,157,156,156,133,137,139,141,138,157,172,146,137,121,113,139,179,174,161,144,115,106,78,61,84,162,155,156,157,157,157,155,134,137,141,142,137,163,173,148,143,135,116,147,181,165,158,145,112,96,77,55,119,164,156,157,157,156,156,155,135,138,141,143,138,163,178,151,150,146,126,146,174,157,151,142,114,87,72,67,150,159,157,158,157,156,156,156,136,139,140,143,139,157,180,158,153,148,137,137,167,153,151,135,110,86,62,98,166,155,157,157,156,157,157,156,135,138,140,143,141,150,178,163,151,142,142,137,155,149,151,141,106,84,59,114,167,155,157,157,157,157,157,157,135,138,140,142,145,146,174,160,149,139,138,142,149,141,152,144,106,82,62,132,165,157,158,158,158,158,158,157,136,138,140,142,143,147,173,154,149,138,135,139,148,138,151,136,102,79,76,155,160,158,158,158,158,158,158,158
21,47,53,60,73,86,94,100,103,107,109,110,114,117,119,123,124,125,127,128,130,130,130,131,131,132,131,132,132,48,54,62,75,87,96,100,103,107,110,112,116,118,120,118,126,127,129,130,130,132,133,133,133,133,133,133,133,50,56,62,78,89,97,102,106,109,112,114,116,127,131,68,118,132,130,132,132,134,135,134,134,135,135,135,134,51,58,65,80,91,97,103,108,110,113,117,115,135,132,63,113,136,131,132,135,136,136,135,135,137,136,136,137,51,58,67,82,92,99,104,108,113,115,119,117,137,131,69,109,137,133,135,135,138,139,139,141,140,138,138,138,52,60,68,83,92,101,105,108,113,116,119,118,139,138,74,108,139,134,136,136,140,141,136,127,140,140,140,140,54,61,70,85,93,102,107,111,114,116,120,119,140,138,78,101,142,136,139,139,140,140,114,69,126,145,141,142,55,62,72,88,95,103,107,112,116,116,120,120,140,136,80,90,144,136,140,139,143,131,91,74,142,144,143,143,57,62,73,88,95,102,108,114,117,117,122,121,146,138,80,88,144,136,140,144,142,113,70,121,151,144,144,144,58,64,76,90,97,104,109,114,117,118,122,123,154,142,88,93,145,138,142,140,124,87,92,152,145,146,145,145,58,65,78,91,98,106,111,114,116,119,132,111,138,127,84,89,146,138,145,137,105,70,137,149,146,147,147,146,59,66,79,91,99,106,111,116,117,126,129,88,90,89,70,91,146,140,144,130,76,103,154,146,148,148,147,148,61,67,81,92,99,107,112,115,127,143,98,86,61,58,60,93,129,130,131,94,72,146,148,149,149,149,148,148,61,67,82,93,100,107,113,116,149,155,130,108,66,43,58,83,110,110,97,59,119,154,147,149,149,149,149,148,61,68,84,94,101,107,112,124,153,162,165,107,68,45,53,72,88,93,64,82,153,148,150,150,150,150,150,150,62,69,84,94,101,108,111,130,138,129,137,93,64,52,51,65,75,76,58,137,153,150,150,150,150,150,151,151,63,70,86,94,101,109,111,148,136,83,102,109,74,56,52,56,64,50,88,157,148,150,151,152,151,151,152,151,63,71,87,95,103,108,117,149,106,77,87,121,84,61,54,50,57,47,112,157,149,152,151,152,151,152,153,152,63,72,89,94,103,105,129,148,113,109,104,138,99,81,62,50,53,47,119,157,151,153,153,152,152,153,153,151,63,73,87,94,105,105,139,150,132,102,139,164,104,95,67,49,51,51,132,155,152,153,154,155,154,154,153,152,64,75,90,95,106,106,147,162,126,110,171,142,100,91,67,49,49,55,146,154,153,153,154,154,154,155,154,153,65,76,89,96,105,106,154,153,116,126,160,125,97,82,73,54,44,74,157,152,153,153,154,154,155,155,154,154,64,75,89,96,106,107,148,135,126,125,157,122,113,80,63,56,42,105,159,151,153,153,154,155,156,155,154,155,64,77,90,98,107,109,133,141,144,124,159,114,107,83,56,53,44,128,157,151,154,154,155,156,156,156,155,155,64,79,90,98,106,111,126,160,134,120,148,101,87,66,53,49,53,142,155,152,154,155,156,156,157,156,156,156,63,78,90,97,105,111,123,152,130,112,126,94,74,63,54,41,67,152,151,154,156,156,157,157,157,157,156,156,61,77,87,96,104,112,118,134,119,114,117,101,87,70,56,36,79,155,148,151,154,154,155,155,156,156,156,156,61,77,86,96,104,113,117,127,125,120,117,113,100,71,54,32,85,155,147,150,153,154,154,155,155,156,156,155
3,92,103,109,111,116,122,124,128,131,134,136,138,139,141,142,141,145,136,143,143,143,144,144,144,144,144,144,144,93,104,110,112,118,125,126,129,132,135,139,141,142,143,144,142,167,112,122,149,144,144,145,144,143,143,144,144,95,106,111,113,120,126,129,132,135,137,141,143,145,146,147,145,179,119,92,153,148,147,147,145,145,144,144,144,98,107,111,115,121,129,132,136,138,141,143,147,150,150,151,146,184,130,77,158,143,148,149,148,148,147,147,145,101,109,114,118,125,131,135,138,141,145,150,149,151,155,155,160,164,116,75,177,121,127,158,150,151,150,150,149,104,113,117,120,128,134,137,141,145,151,148,153,162,141,170,201,167,156,116,162,140,91,164,154,154,153,153,153,107,115,119,125,132,137,141,143,143,142,168,196,191,141,100,126,170,183,149,99,141,87,123,167,157,157,157,156,110,118,123,128,135,140,142,171,168,141,172,152,166,175,149,51,90,134,85,70,119,119,85,134,167,160,161,160,114,122,125,131,139,140,167,171,149,155,129,82,77,158,170,84,91,96,67,125,130,129,95,98,173,164,165,164,116,125,128,134,142,148,181,123,74,125,75,68,45,61,95,64,76,58,51,152,163,161,108,100,176,167,168,168,118,126,130,136,145,153,185,138,84,133,109,101,73,83,70,52,57,60,57,155,188,176,115,103,179,169,171,171,121,127,132,139,149,152,189,155,111,144,161,139,114,101,88,83,75,70,60,138,191,176,115,107,182,172,174,173,124,131,134,142,152,154,187,175,150,134,133,103,105,112,111,119,94,106,99,131,189,170,105,106,185,174,177,176,126,133,136,144,154,158,192,177,137,120,116,104,110,119,135,131,141,159,180,178,165,143,95,103,187,178,180,179,129,136,139,148,157,160,195,177,133,110,106,113,118,132,148,157,179,184,191,179,141,107,92,99,188,181,181,182,131,138,142,150,159,161,193,188,152,120,107,124,125,139,168,175,184,191,188,163,123,94,78,114,194,183,185,185,134,139,144,152,162,163,190,203,168,139,112,111,124,152,177,181,192,198,184,151,111,87,67,168,193,187,188,187,136,141,145,155,164,165,183,207,182,158,130,111,125,149,175,189,202,197,171,135,108,67,110,201,188,191,190,188,137,142,148,158,165,169,179,208,195,170,145,127,128,140,170,194,200,190,158,120,94,63,167,197,190,192,191,189,141,144,151,160,167,173,177,204,203,184,155,147,141,138,165,192,192,176,142,109,74,88,200,192,191,191,195,199,143,146,153,161,170,175,176,191,200,196,173,159,150,136,173,180,185,156,122,96,59,141,203,192,200,205,189,157,145,149,155,163,172,177,180,179,194,198,183,168,156,134,165,174,163,135,103,75,73,197,206,198,171,120,68,40,146,150,158,166,173,179,183,177,184,191,184,173,156,134,133,162,143,115,92,57,144,204,138,85,49,34,33,31,149,152,160,168,175,180,184,184,178,191,185,173,157,136,120,142,137,107,79,87,169,84,37,30,35,31,33,26,152,154,162,170,176,182,184,187,178,194,182,166,153,128,117,127,124,100,72,88,74,39,47,25,23,40,27,21,153,156,163,171,177,183,185,188,182,192,165,148,146,128,121,117,109,100,74,40,27,38,55,27,8,32,37,16,150,155,162,172,178,181,185,189,177,195,178,159,161,144,125,117,103,100,64,42,29,15,48,40,5,16,41,30,151,156,165,173,179,183,185,193,171,191,194,176,179,149,130,117,100,97,58,38,39,9,24,48,17,5,27,38
20,159,161,162,161,163,162,162,163,163,162,162,162,161,163,161,157,156,154,153,151,149,146,145,143,140,139,137,135,164,166,166,167,167,166,166,167,168,167,167,166,171,151,147,164,158,158,157,154,152,150,149,146,144,142,140,138,168,170,171,170,171,171,170,170,171,171,171,169,190,149,100,171,166,161,161,158,157,155,153,150,148,146,145,143,174,175,176,175,175,176,176,175,176,176,176,173,184,162,75,90,132,171,164,163,161,159,156,154,152,150,147,144,179,179,180,180,181,181,181,180,180,180,181,177,192,159,59,99,90,161,172,167,165,163,161,158,157,154,151,148,182,183,184,185,185,186,186,184,184,186,185,182,198,144,55,151,99,132,183,171,170,168,166,162,161,159,156,152,186,187,188,189,188,189,188,188,189,189,190,186,205,152,69,168,103,111,187,175,174,171,170,167,164,162,159,159,190,191,192,192,193,193,193,193,193,193,192,190,213,146,71,173,132,105,189,179,179,177,176,171,167,167,164,162,193,194,194,195,196,195,195,196,196,197,196,201,215,119,75,186,143,95,188,183,181,180,179,177,171,170,167,166,196,198,199,198,200,199,199,199,200,199,187,204,219,117,101,204,136,85,189,188,185,183,181,179,176,173,172,167,202,203,203,203,204,203,202,202,203,202,178,163,181,135,97,194,143,84,189,189,187,186,184,181,179,176,180,146,204,205,205,206,207,206,206,206,204,208,222,203,153,121,91,173,162,98,185,194,190,189,187,186,182,179,180,161,208,208,208,210,209,209,209,208,211,199,170,203,165,168,101,138,151,94,180,200,194,193,190,188,185,183,182,168,211,211,210,211,210,212,212,213,211,217,146,109,176,187,87,68,101,77,173,206,196,195,193,191,187,184,183,171,213,212,211,212,212,214,213,214,213,223,153,41,161,182,118,65,61,54,161,211,198,197,196,194,189,186,184,183,214,214,214,213,213,215,214,216,215,215,157,81,112,169,154,103,95,40,145,216,200,198,197,196,192,188,187,185,216,216,216,216,217,218,218,218,208,206,167,132,70,81,151,132,109,38,119,221,202,202,200,197,194,192,188,185,219,219,219,219,220,219,221,213,208,188,185,167,110,78,110,140,116,53,94,223,205,204,203,200,198,194,190,186,220,220,220,220,220,221,218,208,186,125,139,173,140,80,81,133,159,95,61,204,212,205,204,203,200,196,193,189,222,223,223,223,222,224,219,207,197,142,57,116,135,60,59,110,173,138,53,133,224,206,206,204,201,198,195,192,224,225,224,224,224,227,222,207,182,148,94,62,105,67,61,162,192,166,73,85,224,209,209,207,203,201,198,195,224,226,227,226,227,227,225,204,201,185,105,71,109,98,122,211,195,148,60,102,227,209,210,207,205,202,200,197,227,228,228,229,229,230,229,202,207,189,121,94,118,193,218,206,167,128,39,147,227,210,210,208,205,204,201,197,230,229,229,230,231,232,231,201,197,183,143,95,121,221,218,184,139,108,45,190,222,212,212,211,208,205,202,198,228,229,229,229,230,231,233,201,179,173,144,100,117,204,193,163,121,79,66,218,217,213,212,212,207,205,210,209,229,229,229,229,230,231,234,211,179,174,145,119,121,202,189,147,104,47,108,233,213,213,210,208,215,211,184,137,230,231,231,231,231,231,233,227,184,172,155,129,108,185,172,124,77,38,185,226,215,215,218,209,178,103,44,37,230,232,232,232,233,234,235,230,197,176,154,126,101,141,130,86,39,86,231,218,218,209,164,96,43,25,20,32
10,46,50,55,59,70,90,103,113,117,122,129,136,141,145,157,145,149,160,158,159,160,160,160,158,158,157,155,153,48,50,55,59,73,92,105,115,119,125,132,138,143,148,195,125,112,166,159,160,162,162,160,159,158,158,156,153,48,51,56,61,75,95,107,117,120,126,134,142,144,158,194,134,89,162,164,163,165,164,162,162,160,160,158,156,50,54,57,63,77,96,110,119,123,129,137,144,149,159,194,157,82,153,170,166,167,166,165,162,163,162,161,158,50,55,59,63,78,97,113,121,125,132,140,147,154,156,195,184,96,142,175,168,169,168,167,167,167,164,162,161,51,55,62,64,81,101,114,123,126,134,143,149,156,157,207,196,107,128,181,169,170,171,170,170,169,168,165,162,53,57,63,66,84,103,117,125,129,136,146,153,160,158,206,193,118,116,183,172,174,174,173,172,171,170,168,166,53,58,63,65,84,105,120,127,130,140,148,155,162,159,209,204,118,95,183,176,177,177,176,174,172,172,170,169,53,57,62,66,87,108,122,129,133,140,150,159,163,161,214,214,133,77,178,179,178,179,178,177,176,175,172,171,54,58,63,69,90,107,123,135,138,151,188,120,143,170,204,189,135,65,163,187,181,181,181,179,178,177,175,175,55,60,65,71,87,131,170,120,82,133,170,67,94,182,193,167,119,53,141,193,183,184,183,181,181,180,178,178,56,61,65,73,86,150,167,77,47,63,111,68,25,137,183,139,129,59,131,197,184,186,185,183,182,182,180,179,56,61,64,73,93,120,122,78,64,52,96,78,31,32,95,101,138,84,105,200,186,187,186,186,184,182,183,181,57,61,65,74,96,115,130,134,125,111,114,86,65,30,32,56,98,91,69,187,190,189,189,187,187,186,185,183,58,62,65,74,97,117,135,142,155,162,100,107,86,76,46,35,64,72,46,165,200,192,191,189,189,188,186,185,58,61,66,75,97,118,136,140,175,156,65,87,137,116,92,57,44,55,36,154,205,194,194,193,191,190,188,186,56,60,66,77,100,119,139,146,164,172,130,53,95,150,122,100,65,41,28,127,209,195,196,195,193,191,189,187,58,63,63,75,103,117,161,166,124,186,145,73,75,202,143,123,96,40,20,73,207,197,198,197,196,194,192,191,59,63,65,76,103,116,177,201,119,127,133,78,140,230,163,132,108,52,22,54,204,202,200,199,198,197,196,193,59,62,65,78,103,120,162,202,145,78,141,121,146,231,159,124,109,67,26,53,206,204,202,202,200,198,197,195,59,62,64,78,105,126,141,170,159,90,143,178,150,210,173,129,101,72,35,51,206,205,204,204,202,200,198,197,58,61,64,80,106,127,140,158,160,92,142,235,125,173,178,145,97,65,42,48,205,207,206,205,204,202,200,198,57,60,63,80,106,127,144,147,175,135,166,146,64,134,178,133,93,61,41,58,210,208,207,205,205,204,201,198,59,63,63,79,107,128,146,148,166,205,171,82,92,159,158,120,83,56,38,77,218,207,210,208,206,205,202,200,56,61,62,81,107,129,143,149,152,190,202,174,145,167,135,104,75,60,37,100,222,205,208,208,206,205,203,202,54,57,60,79,105,127,143,146,155,176,196,178,129,132,118,89,77,71,41,115,221,205,208,208,205,204,203,201,52,54,59,80,107,126,145,148,160,52,153,185,113,136,140,135,115,90,39,135,222,208,210,207,206,205,205,202,52,54,57,77,104,126,140,159,93,0,139,206,172,164,145,160,133,89,28,139,225,208,211,208,206,206,205,202
11,100,106,112,119,124,129,133,137,140,142,144,145,147,152,150,150,150,150,150,151,151,149,147,152,111,83,130,176,103,108,114,121,126,130,134,138,141,143,146,145,166,135,149,150,150,150,149,150,149,147,145,151,119,101,131,180,107,112,119,126,129,134,137,142,145,147,149,145,189,111,129,157,150,151,151,151,149,148,147,144,133,179,170,175,111,116,125,131,136,141,145,149,151,152,154,151,205,120,103,163,152,154,153,152,151,150,149,141,163,145,172,176,116,121,130,136,142,147,151,155,158,159,161,159,208,115,92,168,159,158,158,157,156,155,153,152,156,121,183,176,120,127,137,144,148,153,157,161,165,167,167,168,207,106,100,175,164,166,165,164,162,161,159,154,158,177,170,176,124,131,142,151,156,159,164,168,172,174,173,180,215,101,108,183,171,172,171,170,168,166,163,160,161,144,129,178,126,135,148,156,162,167,172,175,178,181,176,203,218,76,128,190,177,177,177,176,174,172,170,166,165,155,155,175,130,140,155,162,166,172,178,182,184,187,181,212,197,76,149,195,184,184,184,182,181,178,175,173,171,166,172,183,133,144,158,167,172,177,182,188,190,188,206,210,108,66,160,199,189,189,188,188,187,184,181,179,176,171,175,195,138,148,163,171,177,183,187,191,191,194,193,198,115,66,171,202,195,194,195,194,192,189,186,184,181,176,176,196,142,153,167,174,180,186,192,198,221,217,99,97,140,82,177,205,199,199,199,198,197,194,191,190,185,182,185,196,145,157,170,178,184,188,195,181,206,201,113,70,132,98,157,213,201,202,204,201,200,198,195,192,192,177,162,200,147,160,173,183,185,194,224,161,83,125,155,87,106,99,133,219,204,207,207,206,205,203,202,197,209,111,78,205,150,163,177,181,198,225,211,182,131,79,136,107,77,106,99,215,209,212,211,207,200,187,169,166,162,69,48,85,152,167,177,197,227,182,130,163,180,101,82,96,67,123,92,196,222,212,204,194,200,177,151,149,124,71,56,44,154,169,179,223,209,138,94,83,166,110,64,87,56,142,138,143,204,202,209,207,197,165,134,110,87,60,51,51,156,170,182,219,185,119,87,47,131,119,67,102,47,100,150,84,157,209,212,181,135,98,56,35,47,42,46,49,158,172,180,208,165,105,79,56,95,130,77,119,73,107,139,124,174,189,156,101,67,43,32,35,36,35,37,48,160,175,181,208,186,128,95,73,73,105,99,129,107,183,154,120,144,123,73,33,42,50,32,30,32,33,43,12,159,174,183,214,192,137,109,83,81,95,144,184,190,186,136,106,103,38,31,36,26,45,45,23,23,30,31,6,159,174,183,215,198,156,124,89,97,109,190,224,208,162,115,91,49,31,17,42,27,25,44,37,18,18,19,22,159,175,183,210,199,167,127,100,110,118,197,207,173,135,104,54,3,41,24,21,39,25,28,38,30,17,19,19,164,179,192,204,193,177,135,118,116,121,178,195,154,113,91,50,0,19,43,18,29,36,22,24,34,18,17,18,129,138,144,159,193,181,142,134,118,120,159,180,146,108,64,40,16,1,39,35,18,30,31,17,24,27,9,17,99,100,94,113,193,176,150,142,118,106,145,149,120,80,16,28,33,0,22,39,28,23,27,21,15,26,14,6,106,107,104,121,198,181,157,140,118,98,120,111,84,37,2,18,43,0,4,37,31,26,22,19,11,15,18,5,105,107,107,111,194,183,149,131,114,101,108,97,34,18,15,9,42,18,0,23,36,24,22,20,15,12,9,11
13,195,195,196,195,195,195,196,198,197,196,196,197,198,199,199,198,198,199,200,199,200,198,198,197,197,196,196,195,196,198,198,197,197,197,199,198,198,198,199,198,198,200,201,201,202,201,200,200,201,200,198,199,200,199,197,196,197,199,198,199,199,199,200,199,200,200,200,200,200,201,200,200,199,198,203,204,203,201,199,201,200,199,198,198,196,198,199,199,199,201,201,201,200,199,200,202,202,201,203,211,209,181,156,186,196,201,205,202,202,200,200,200,197,198,200,200,200,202,202,200,200,200,201,203,200,210,233,234,230,196,146,108,128,133,188,206,202,201,201,200,198,198,199,201,201,200,200,201,203,203,201,202,202,208,202,216,228,206,153,105,90,102,124,216,200,202,202,201,199,199,200,201,201,201,201,202,204,200,206,192,169,193,168,160,202,208,178,119,99,153,120,206,203,203,204,202,199,200,201,202,203,203,203,204,203,206,230,192,148,182,195,188,200,194,197,126,94,128,112,203,205,204,204,203,199,200,201,202,202,202,203,203,198,211,239,202,174,140,161,197,203,181,136,97,60,126,192,205,206,205,205,205,199,201,200,201,202,205,199,209,207,147,162,214,196,158,83,122,189,188,154,135,105,103,210,207,206,205,205,204,199,200,202,202,201,198,206,230,201,129,94,181,220,175,104,35,115,151,164,189,172,104,144,218,203,207,205,205,199,200,201,202,200,210,232,214,180,140,99,137,228,175,135,62,53,64,175,211,195,157,100,192,210,205,205,205,200,200,200,200,206,225,204,181,183,157,119,94,223,185,161,99,60,59,132,224,209,180,119,120,214,204,204,204,202,201,202,200,219,208,168,162,193,167,136,65,169,216,179,138,58,70,120,213,215,180,146,98,177,213,205,204,202,201,202,203,222,215,188,154,193,172,147,108,64,203,203,166,105,94,211,204,201,176,154,107,153,219,205,207,201,200,199,204,217,206,190,156,154,180,178,150,54,87,210,194,182,131,207,202,176,146,134,96,163,217,205,206,199,199,200,200,220,224,205,180,146,148,186,162,143,52,146,205,179,184,201,186,165,134,104,89,191,212,206,205,205,206,207,204,218,228,216,192,177,158,161,158,180,115,178,221,206,215,194,175,155,128,97,106,209,207,208,206,157,160,166,163,202,233,223,204,185,177,179,162,132,143,215,228,228,205,191,172,148,119,85,144,221,212,214,212,96,95,99,84,158,238,221,212,196,184,187,187,156,144,203,226,224,205,176,162,140,109,88,128,158,159,162,163,102,102,103,94,121,226,215,216,213,198,189,185,174,136,167,222,214,198,172,143,126,100,96,95,88,85,87,95,102,102,102,104,95,194,215,212,215,211,199,187,173,154,138,203,202,184,164,132,113,99,91,95,103,125,152,181,101,103,104,106,94,134,219,208,217,217,201,188,169,158,141,167,189,168,143,127,109,88,103,170,192,207,213,213,102,103,103,104,108,93,176,218,212,208,191,177,164,152,140,143,165,158,138,120,106,76,167,230,207,199,191,200,102,103,103,102,107,96,119,219,206,190,176,167,160,149,129,127,151,160,145,110,91,90,211,213,197,186,165,159,102,103,103,102,101,105,96,192,211,177,162,164,157,144,123,113,157,172,135,101,77,147,227,206,191,151,140,145,102,102,103,101,100,108,92,168,218,186,180,174,158,139,125,111,165,165,112,92,88,211,221,221,199,142,112,141,102,103,104,101,101,106,91,158,224,195,194,183,163,144,132,109,167,147,104,78,124,224,208,231,218,158,104,122
15,134,134,129,91,141,109,42,87,94,94,96,99,102,107,118,127,135,140,143,145,149,153,157,160,163,166,167,168,137,138,127,93,146,102,43,90,94,95,97,100,103,107,120,129,137,141,143,146,151,155,159,162,164,167,168,170,140,141,124,98,153,95,46,94,94,95,98,101,103,108,121,130,138,143,145,148,153,157,161,164,166,168,170,172,143,146,121,103,157,87,49,96,93,96,99,102,103,110,123,130,138,145,147,148,153,157,161,165,168,169,171,173,144,150,116,109,160,78,55,98,94,96,99,103,103,111,123,131,140,145,148,150,155,160,164,166,168,171,172,174,146,153,111,117,160,72,62,99,95,99,101,103,104,111,123,133,141,146,149,151,157,161,165,167,170,173,174,176,149,156,107,125,158,59,61,94,91,93,97,101,104,112,124,134,143,148,150,153,158,162,166,168,172,174,176,177,151,158,106,146,160,113,111,128,121,119,115,110,106,112,124,134,142,150,151,153,159,162,166,170,172,175,176,177,154,155,119,172,146,146,144,163,152,150,151,155,142,130,122,131,139,141,143,157,160,162,167,170,173,176,177,179,154,155,107,143,110,115,115,139,126,122,149,161,143,126,130,153,159,143,120,119,164,165,168,172,174,177,178,180,156,156,100,152,123,74,94,113,110,106,135,149,132,113,142,162,155,153,160,107,120,169,170,172,176,178,180,181,160,153,99,167,136,40,90,99,98,100,103,123,123,139,172,154,144,165,168,150,105,110,174,175,176,179,181,183,164,150,100,172,125,42,97,100,99,97,106,135,137,140,168,140,138,162,152,163,131,93,110,177,180,178,183,184,166,147,105,178,117,42,99,100,98,97,167,156,118,109,116,112,142,149,150,148,134,118,85,106,173,185,182,185,171,142,110,184,108,44,102,100,96,105,174,166,130,102,74,81,144,161,153,121,113,111,102,84,94,170,188,185,177,138,118,186,100,47,104,99,98,89,146,182,155,143,127,131,140,142,133,101,93,99,95,94,82,95,183,187,181,132,126,187,90,51,106,98,97,129,165,168,164,143,128,130,124,122,127,108,92,96,93,90,89,75,124,198,183,126,135,185,83,56,108,91,150,168,155,139,154,132,99,112,110,108,111,99,92,96,95,91,89,88,81,150,185,121,141,184,76,60,109,93,158,141,123,114,127,107,89,93,91,90,90,92,98,108,107,92,86,91,89,87,185,116,150,183,67,65,109,96,113,109,93,110,109,90,87,99,88,80,104,106,114,122,111,86,85,91,91,89,186,114,159,179,61,70,108,98,97,98,97,123,162,132,107,105,102,91,98,107,113,113,100,86,86,92,94,93,185,112,168,176,55,74,108,98,98,99,101,100,116,118,95,81,112,129,84,90,112,107,94,90,91,97,94,92,185,109,180,175,49,79,107,97,97,99,100,102,105,117,128,137,145,130,115,111,101,96,93,95,98,97,94,93,183,109,188,170,44,84,108,97,97,98,99,100,106,122,135,145,156,146,85,101,119,121,113,105,93,82,78,75,178,112,195,163,41,89,107,97,97,97,98,99,106,121,133,141,158,126,78,74,130,111,80,64,52,48,48,40,172,114,200,154,39,92,104,95,95,96,97,98,105,120,133,143,158,108,87,88,52,57,58,49,46,44,41,37,165,120,205,145,39,95,102,94,93,95,96,97,104,119,132,146,149,97,83,87,71,41,64,52,47,44,41,37,159,128,210,136,39,99,101,93,93,93,95,96,103,118,131,147,135,86,85,83,82,35,52,53,43,40,41,37
10,158,161,163,166,168,170,172,174,173,174,175,176,177,176,177,177,177,177,178,178,177,177,178,177,177,177,176,175,160,163,166,168,171,173,174,176,176,177,178,178,179,179,180,179,180,180,180,179,180,179,180,180,179,179,178,178,163,165,168,171,173,175,177,178,179,180,180,181,182,181,181,184,183,182,182,182,181,181,182,182,182,181,181,180,165,168,170,173,176,178,180,181,182,183,184,184,183,186,183,155,185,185,185,184,183,185,185,184,184,185,184,182,167,169,172,175,178,181,182,184,185,185,186,186,185,188,196,139,164,193,185,186,186,187,187,187,187,186,186,185,169,172,175,177,180,182,185,185,186,187,188,189,189,187,199,173,138,189,189,188,188,189,189,189,189,188,187,186,171,173,176,179,182,185,186,187,188,188,189,190,192,191,197,197,148,169,196,189,190,190,191,191,191,190,190,188,172,175,179,181,184,186,187,188,190,190,190,191,187,185,199,214,179,146,196,192,192,193,193,192,192,191,191,190,173,176,180,184,186,188,189,189,190,192,191,197,185,133,173,220,203,141,175,199,195,196,195,195,195,193,192,191,174,178,182,185,187,189,190,192,193,194,193,198,201,152,123,204,213,156,149,203,195,197,196,197,196,196,195,194,177,180,183,185,188,190,192,194,195,196,196,195,214,203,159,160,202,176,133,200,197,198,199,198,198,197,197,196,178,181,184,186,189,191,193,195,196,197,197,207,192,225,198,134,148,193,123,191,200,200,200,200,200,199,198,198,179,182,185,188,190,192,195,195,196,197,206,207,158,165,201,147,112,145,120,175,206,199,201,201,201,201,201,200,179,182,185,188,190,194,196,197,195,210,216,194,155,93,167,177,123,99,103,138,209,201,202,202,201,202,202,202,180,183,186,189,191,195,197,198,196,211,222,162,117,64,120,174,147,105,96,108,194,206,203,203,202,202,202,202,180,184,187,190,193,196,196,200,208,191,217,184,128,69,101,164,166,140,106,100,176,210,203,205,204,203,202,202,181,184,188,191,194,196,196,202,221,207,192,218,191,105,112,186,179,162,114,94,167,214,204,206,207,205,204,203,182,184,187,192,195,197,198,199,202,222,197,180,205,164,155,202,183,165,120,90,163,216,205,207,207,206,206,205,181,184,187,190,193,196,196,201,182,190,192,142,184,188,136,206,184,158,129,92,158,216,206,207,207,206,206,206,182,185,188,190,193,196,196,200,210,184,170,152,135,173,192,215,191,157,121,96,157,216,205,207,206,205,205,205,182,184,188,191,193,195,196,199,217,209,173,160,155,217,228,212,186,149,118,98,164,215,205,206,206,205,205,206,182,185,188,191,193,196,198,197,209,215,189,184,182,225,216,202,177,136,118,102,157,216,206,207,207,206,206,206,183,186,189,191,193,195,197,198,203,215,198,207,188,221,209,186,166,138,131,111,148,216,206,207,207,207,207,206,181,186,190,193,197,199,201,203,205,210,208,215,189,201,205,181,170,148,151,116,157,219,208,209,209,208,207,207,128,133,137,139,143,148,152,153,154,203,217,212,197,178,195,182,181,160,150,114,159,204,198,202,204,206,206,207,117,117,116,113,113,115,116,118,112,163,215,200,190,177,178,187,195,162,136,115,119,126,128,130,133,135,135,138,121,122,122,125,127,126,125,124,124,127,197,186,181,176,174,190,194,160,130,113,126,125,123,124,123,122,121,121,120,120,121,123,123,125,124,122,125,116,176,190,180,179,185,181,186,160,126,113,134,132,129,133,133,133,133,135
4,169,172,175,177,179,182,184,186,187,189,189,190,192,192,192,193,192,192,190,190,190,190,190,189,189,188,188,187,170,173,176,179,181,183,184,187,189,190,190,194,195,192,190,191,197,193,193,192,192,191,191,189,190,189,189,188,171,175,177,180,183,184,186,188,190,189,189,185,191,206,190,151,161,200,194,194,194,192,192,191,192,191,189,189,172,176,177,181,184,187,188,191,189,204,196,163,153,223,198,154,112,200,200,198,195,195,193,193,193,192,191,191,174,177,180,183,185,188,189,188,184,229,219,176,126,196,203,156,105,150,168,179,201,195,195,195,194,194,192,192,174,178,182,184,186,185,197,212,194,171,218,197,138,171,210,156,87,104,155,121,171,203,195,196,196,194,193,193,176,179,183,186,188,189,220,227,200,126,193,200,133,145,198,142,83,112,159,126,103,199,198,197,196,196,194,194,176,179,183,187,188,192,216,207,190,123,177,181,125,117,165,130,79,131,169,130,88,189,202,198,197,197,196,195,176,181,184,186,188,189,215,191,193,126,161,170,122,93,138,119,91,183,175,120,89,192,203,198,197,198,197,195,178,182,184,187,190,189,220,184,176,163,147,175,154,97,123,101,100,181,146,92,89,202,201,197,198,199,197,196,179,183,186,189,191,191,227,214,180,140,107,188,171,165,154,144,146,167,158,111,91,206,203,201,200,200,198,197,180,183,188,189,190,196,230,208,176,133,100,116,120,179,158,172,189,201,193,134,108,209,203,203,201,201,200,199,180,184,188,189,189,203,228,187,150,128,109,95,88,122,159,170,183,189,177,133,103,199,204,203,201,200,201,200,180,184,188,192,188,210,227,190,156,123,101,99,109,108,131,148,147,155,162,144,94,170,211,202,202,201,201,201,181,185,188,192,188,215,227,194,156,127,112,106,114,136,129,135,158,165,176,156,104,136,217,202,203,202,201,201,182,185,189,193,190,222,223,188,148,120,114,106,109,145,142,177,200,200,204,169,123,98,203,206,204,204,202,201,183,186,189,193,192,223,221,187,150,127,115,114,116,142,159,207,218,211,215,181,136,84,166,216,204,207,203,203,184,186,190,194,193,221,214,187,155,140,128,119,119,140,203,216,220,203,197,169,131,83,159,218,205,206,205,204,183,186,189,193,192,218,208,188,161,142,127,122,126,180,228,223,210,193,168,146,109,92,195,211,206,206,205,203,183,184,189,192,191,216,215,190,152,131,124,131,151,216,228,219,193,171,146,121,86,139,215,205,206,206,205,203,183,184,189,192,192,212,221,192,161,158,139,141,172,226,220,205,178,154,128,100,91,200,210,206,206,206,205,203,183,186,189,193,193,205,216,199,175,170,151,127,186,224,206,186,162,139,114,79,144,219,207,208,207,207,205,203,183,186,189,193,194,204,221,202,176,171,153,127,194,212,186,164,138,117,95,88,202,211,208,207,207,206,205,204,183,186,189,195,190,206,228,210,184,166,141,128,190,193,166,143,117,104,71,146,219,207,208,208,208,207,205,204,184,186,189,194,187,225,226,201,174,150,118,135,178,161,128,113,100,77,98,208,208,208,208,208,208,207,205,203,185,188,193,190,202,235,218,201,179,143,129,150,160,125,102,99,89,86,192,215,209,211,210,210,209,209,207,207,175,176,180,175,221,225,218,206,176,151,144,148,143,112,105,108,83,151,202,195,197,197,197,198,198,198,197,196,126,125,117,148,229,209,200,190,159,147,159,131,119,105,101,97,89,119,121,121,121,119,120,120,121,124,125,123
16,155,157,158,160,165,168,171,174,177,179,180,182,185,186,187,188,189,191,192,192,193,193,193,192,192,191,191,192,156,157,158,160,165,169,172,175,177,179,181,183,185,186,187,187,187,187,189,190,192,193,193,193,194,193,193,192,156,157,158,160,165,170,173,175,178,179,181,182,182,179,173,166,161,158,158,160,165,175,186,192,194,194,194,194,157,158,158,161,166,170,173,176,178,175,172,168,161,154,145,135,126,122,120,115,111,116,138,164,185,193,195,195,157,157,158,162,166,170,174,176,177,163,155,147,141,140,134,125,117,109,105,103,94,84,87,102,138,181,195,195,157,157,159,164,167,175,184,187,187,166,152,139,133,133,129,123,116,109,101,100,96,85,80,80,91,139,187,196,157,158,160,164,167,178,194,196,192,171,153,134,124,124,123,121,115,111,104,99,95,87,83,81,82,98,158,194,157,158,161,164,167,177,192,199,193,169,147,124,114,114,115,117,114,110,107,101,95,89,86,82,82,83,119,181,157,158,161,164,167,179,192,201,191,164,134,112,100,103,108,113,113,111,112,107,96,91,90,84,80,82,91,148,157,159,161,164,168,180,194,202,186,153,117,97,83,88,105,115,120,119,119,114,99,92,93,83,81,84,82,104,157,159,161,165,169,177,195,200,176,138,104,88,66,61,97,118,131,134,133,121,102,95,95,84,82,86,83,76,158,159,161,165,169,174,193,194,164,125,95,78,53,41,79,111,135,151,150,131,105,97,96,85,83,87,88,80,158,159,161,165,169,174,189,184,150,116,87,74,62,52,72,99,137,159,152,132,106,97,92,84,83,85,88,88,157,158,161,164,168,173,181,170,136,106,81,78,76,72,76,91,144,157,143,127,107,95,87,84,84,86,88,90,155,157,159,163,167,172,177,158,121,91,73,80,81,81,84,106,151,148,135,121,103,89,85,85,85,87,89,90,155,157,159,163,167,174,179,151,109,89,74,83,95,111,133,150,153,138,128,111,90,81,84,86,87,88,88,89,156,157,160,164,168,175,180,147,107,113,114,127,152,173,177,164,142,127,117,98,81,79,84,88,89,89,88,88,156,157,160,164,168,177,182,143,108,149,173,180,188,190,180,157,127,112,107,98,83,81,84,88,91,91,90,89,155,157,160,164,168,176,177,134,112,166,187,189,191,191,179,147,116,101,115,112,92,86,86,88,91,91,92,91,154,157,160,164,167,175,170,121,121,175,187,189,190,191,180,144,107,109,144,133,107,94,89,89,90,91,92,93,154,156,160,163,167,175,162,112,132,179,187,188,190,191,182,147,103,131,172,149,122,103,93,90,90,92,93,94,152,154,158,162,166,178,154,108,146,180,185,187,189,190,181,153,110,145,185,160,135,115,101,94,92,92,93,94,145,147,150,152,156,173,137,107,148,166,170,172,173,174,167,148,117,136,172,157,144,126,111,101,96,94,94,96,117,117,119,120,122,134,112,100,117,123,124,126,128,128,127,122,111,112,125,128,142,135,121,110,104,99,97,97,105,105,105,106,106,108,104,102,105,107,107,107,108,107,107,107,105,103,103,108,134,142,131,119,110,105,100,99,106,106,107,107,108,108,107,107,108,109,110,109,108,108,108,108,109,108,107,107,126,147,139,126,117,111,106,103,107,107,107,108,109,108,107,108,109,109,109,109,108,109,108,108,111,113,112,110,120,148,146,134,124,118,112,108,108,108,107,108,108,108,107,108,108,108,108,108,108,108,108,108,109,110,110,109,116,147,152,142,132,124,115,110
5,134,134,134,135,136,136,135,135,134,133,134,134,133,132,130,130,128,127,125,124,123,122,122,120,118,119,117,117,139,138,138,138,139,139,138,138,139,137,136,136,135,134,134,133,132,130,128,126,127,126,123,121,120,120,119,119,143,143,143,142,142,143,142,142,142,142,140,139,139,139,134,136,133,129,133,129,128,128,127,124,123,122,119,118,145,146,146,145,144,147,147,146,144,145,144,143,141,137,138,156,95,106,141,132,131,129,128,127,125,123,122,119,148,149,150,149,152,138,146,151,147,148,146,143,147,140,124,86,60,127,139,134,135,134,131,129,128,126,125,122,152,153,155,150,174,107,111,162,152,151,148,159,150,95,70,96,133,143,140,138,137,136,134,132,131,129,127,125,157,156,158,155,170,84,109,166,155,148,156,152,89,78,148,158,153,148,144,144,145,140,137,136,134,132,129,128,160,159,159,161,154,79,135,167,152,134,126,82,84,132,102,104,103,104,103,100,123,138,141,140,137,134,133,132,163,163,163,164,137,83,156,168,152,110,72,78,155,78,62,74,95,108,110,108,105,125,100,135,141,137,136,135,166,166,167,167,151,83,137,174,145,100,71,94,109,67,73,66,74,75,64,76,84,83,87,143,141,140,138,136,169,169,169,170,157,84,123,181,135,97,74,70,81,82,55,39,35,33,37,44,47,50,119,149,146,142,140,139,171,172,172,171,149,98,80,168,135,86,54,53,67,61,38,43,55,50,66,67,91,109,99,85,140,149,142,141,173,175,175,177,139,112,104,104,106,87,68,52,46,29,38,64,43,73,112,116,136,114,104,96,94,144,146,143,176,175,177,179,174,130,129,114,85,92,77,51,49,38,42,41,81,165,171,168,162,137,142,135,91,146,149,146,178,178,178,178,182,167,130,145,139,105,64,43,37,49,35,103,173,167,162,164,135,132,141,89,122,158,147,148,180,180,180,182,180,185,160,150,151,121,82,38,40,32,66,187,172,166,172,148,112,139,106,83,159,155,152,150,181,181,183,183,183,184,180,148,158,133,92,42,40,36,77,153,164,181,160,130,123,118,55,130,167,156,155,153,182,183,183,184,185,186,184,156,163,141,100,53,41,59,57,73,98,127,119,123,119,63,98,169,160,159,157,155,183,184,185,185,186,186,186,152,168,151,105,63,42,59,62,77,100,83,96,119,73,96,175,164,162,160,159,156,184,185,187,186,186,186,188,152,171,151,105,79,46,52,63,76,97,100,78,72,82,174,169,166,164,162,159,157,188,187,188,189,188,188,189,154,174,150,112,92,52,48,65,81,93,87,54,51,164,175,169,168,165,164,162,159,190,189,190,190,190,191,188,157,169,147,118,92,56,43,67,79,84,63,44,153,181,172,171,170,168,165,163,161,190,190,191,192,191,192,190,158,157,140,116,93,58,41,65,67,68,31,107,192,173,176,173,172,171,167,165,162,192,191,192,192,193,193,190,157,153,140,113,93,57,44,59,65,47,49,177,181,179,177,175,174,173,168,165,164,193,193,193,193,193,196,186,159,156,138,113,90,57,45,54,47,32,147,190,180,181,178,177,175,172,169,168,165,193,194,194,194,195,198,182,166,159,141,120,82,50,43,33,36,142,194,182,183,181,179,177,176,173,171,169,166,193,193,193,195,196,195,177,166,156,144,114,69,45,32,70,170,195,186,185,184,183,181,178,177,175,172,170,168,192,193,193,194,194,189,166,148,152,136,99,58,43,43,177,197,183,187,185,183,182,180,177,176,175,172,170,169
2,153,153,153,155,156,156,155,155,155,154,155,154,154,154,154,153,153,153,152,151,150,147,148,149,144,39,0,22,157,158,159,157,157,158,157,158,158,159,159,160,158,157,158,157,153,159,156,158,150,152,153,157,131,17,15,28,163,164,165,162,162,164,164,163,164,166,165,164,159,166,175,134,69,117,138,119,165,158,156,158,148,44,26,22,166,167,167,166,165,167,167,167,169,167,164,168,178,174,124,74,36,44,76,42,101,152,159,157,163,80,25,30,171,170,171,169,170,170,170,172,171,171,187,198,151,83,49,35,27,29,40,28,18,113,171,157,170,102,20,17,174,174,174,173,174,174,175,176,170,185,203,173,77,23,28,24,17,10,23,27,13,110,175,161,170,132,27,0,177,178,178,177,177,177,179,179,173,208,176,84,36,12,15,22,13,7,12,21,67,163,169,165,165,166,35,0,181,181,182,181,182,180,182,179,188,220,123,37,25,16,8,15,21,36,93,136,174,174,171,168,168,169,86,64,183,183,185,185,185,184,185,176,208,201,101,46,26,36,21,23,38,133,189,180,176,176,174,172,172,175,131,111,183,186,189,188,188,188,186,190,216,165,77,27,23,30,21,53,155,186,177,179,180,180,177,175,173,187,83,124,188,189,190,189,190,191,183,207,210,144,75,32,25,20,28,103,206,182,185,183,182,182,182,180,176,184,103,164,190,193,194,193,191,192,190,225,199,133,77,54,41,26,24,131,199,189,189,186,185,184,183,182,180,179,160,140,192,193,195,196,196,190,205,238,182,115,67,50,47,43,35,177,197,191,191,190,190,188,187,185,182,182,186,150,194,194,196,198,198,189,220,230,167,101,54,44,38,43,64,198,195,194,192,191,191,191,190,188,185,187,182,176,196,197,197,197,194,190,237,213,158,99,55,40,37,39,75,203,195,194,192,192,192,191,190,190,189,189,185,176,197,198,198,201,191,212,236,195,143,87,56,43,47,32,99,214,196,196,195,194,194,192,194,194,193,195,194,186,199,200,200,202,194,234,224,179,128,78,53,40,38,24,83,213,197,199,198,199,200,201,192,179,169,159,171,195,202,202,205,195,198,240,215,169,118,70,48,34,29,45,33,125,217,199,206,203,182,164,152,147,141,127,90,131,203,203,208,189,216,234,204,155,104,69,44,19,34,48,51,43,167,202,181,154,144,145,159,152,123,100,82,111,205,208,201,197,235,227,192,136,91,67,35,14,45,50,58,68,69,100,119,144,164,153,125,82,94,156,187,195,207,211,193,217,234,216,179,126,87,62,24,28,64,69,84,86,85,94,126,152,136,95,59,102,197,204,201,199,211,204,199,236,230,208,162,118,82,61,27,44,77,87,94,90,91,98,112,92,79,109,155,203,203,199,198,197,207,198,230,232,219,195,154,109,69,57,36,60,84,96,98,91,79,69,60,101,175,210,212,205,204,201,201,200,191,214,234,224,213,191,145,97,63,56,46,77,92,96,88,73,53,62,142,213,213,207,206,207,206,205,205,204,206,221,222,214,196,160,114,77,63,52,55,81,86,89,68,50,118,190,219,210,209,211,210,208,208,206,207,207,216,218,212,188,160,125,92,67,61,52,63,72,79,69,47,140,224,218,211,211,212,213,213,213,211,209,208,207,212,210,190,159,135,113,82,64,58,61,62,61,58,71,161,225,214,215,215,214,215,214,215,214,211,210,207,207,209,198,172,129,116,87,60,63,65,63,60,53,118,206,226,216,218,218,218,218,217,216,216,214,213,212,210,209
22,94,98,105,115,125,133,139,142,147,153,156,160,163,166,169,171,171,173,173,173,173,174,172,171,171,170,170,168,95,99,107,118,128,136,142,145,150,155,159,163,167,169,171,173,174,176,177,177,177,177,175,174,174,173,173,172,96,101,106,119,129,138,144,148,152,158,163,167,169,170,174,176,177,178,179,179,179,179,178,178,178,177,176,176,97,102,108,121,131,141,147,149,153,160,166,166,174,174,176,178,179,181,181,183,187,184,183,182,180,183,180,179,98,102,110,123,133,145,150,151,157,162,166,193,148,167,182,181,182,184,188,176,164,189,186,184,184,164,180,181,98,102,111,125,135,146,151,153,159,162,177,223,123,149,188,181,186,186,207,162,107,191,186,197,184,106,154,190,98,102,111,126,137,146,151,155,162,164,181,230,135,143,193,184,188,193,209,138,108,199,190,208,175,99,171,191,99,102,112,127,140,149,153,156,165,168,179,235,157,138,195,189,188,206,208,115,142,203,210,201,129,121,198,188,100,103,114,128,141,151,155,158,167,170,181,241,178,130,194,192,192,201,187,102,169,208,221,188,113,171,199,191,100,104,116,130,142,152,156,160,168,174,180,234,182,123,186,195,198,210,166,91,194,220,193,148,125,201,195,194,101,104,116,131,143,153,159,162,169,177,178,229,205,135,173,198,209,228,150,95,238,234,184,106,164,206,196,197,100,104,116,131,144,155,160,164,171,180,177,224,220,154,161,205,206,216,98,137,255,224,161,111,203,200,201,199,101,105,118,133,145,157,161,164,173,181,180,204,214,142,116,188,195,201,169,220,228,198,113,140,215,202,203,201,103,106,118,133,146,159,163,166,174,181,184,185,213,139,144,197,204,212,233,227,208,150,92,193,210,204,203,202,102,106,120,135,148,159,164,168,173,186,204,152,198,168,172,226,200,219,218,220,183,105,139,221,206,208,204,205,101,106,120,136,148,160,164,169,170,210,214,179,160,166,148,178,199,219,213,193,154,98,181,219,209,209,207,207,103,106,121,136,149,161,166,171,175,206,205,207,196,192,145,85,147,192,189,152,138,96,198,218,212,211,209,208,102,107,123,136,150,162,166,172,175,198,212,184,193,179,138,115,89,101,131,129,115,97,214,218,215,213,211,210,102,107,123,138,153,162,167,173,174,206,204,180,160,149,164,150,123,92,86,81,108,93,211,219,215,213,213,212,103,107,123,139,152,163,169,173,177,200,246,212,155,145,161,171,148,124,118,87,72,84,205,221,216,215,214,214,103,107,123,139,153,163,168,172,179,193,255,201,180,178,206,218,167,141,131,82,60,73,208,221,217,216,215,214,102,107,123,139,154,164,169,172,181,189,254,214,190,217,245,234,186,151,127,80,57,88,222,219,219,217,216,216,102,107,124,140,154,166,168,172,183,187,245,226,192,214,245,208,184,139,119,86,51,114,233,218,220,218,217,217,101,107,124,140,154,164,169,175,185,185,231,240,211,204,245,193,186,165,118,87,50,124,236,219,222,220,217,217,98,106,124,140,155,165,168,174,184,186,214,243,220,189,236,202,179,170,120,79,49,144,235,220,222,221,218,217,96,104,124,140,154,164,166,174,184,192,209,237,223,174,211,196,163,148,102,70,57,185,231,220,221,219,218,217,95,103,123,140,153,164,167,175,186,180,148,212,213,156,159,158,130,109,81,68,84,221,225,222,223,220,219,219,93,101,122,139,153,164,168,173,193,111,10,171,195,135,148,154,136,105,89,63,115,237,222,223,222,221,219,220
21,157,168,175,178,182,190,197,201,206,209,211,214,216,218,218,218,219,217,216,216,217,216,216,214,212,211,210,208,159,170,178,181,185,192,199,203,208,212,214,217,218,220,223,220,220,220,219,218,219,218,218,214,212,211,211,210,162,174,180,183,188,196,201,205,211,215,218,219,219,220,222,226,223,223,223,223,220,221,219,217,215,213,211,211,163,174,181,184,188,197,203,209,213,216,220,222,220,245,198,182,232,224,226,225,224,222,222,221,218,217,215,213,164,176,183,185,190,199,205,210,213,218,222,223,222,255,211,135,221,230,228,228,226,226,225,222,225,220,218,215,167,179,185,186,194,202,208,211,217,221,223,226,222,255,238,146,196,238,228,229,229,227,231,213,172,219,221,219,168,180,186,187,195,203,210,214,220,223,227,229,227,245,255,188,177,242,230,231,231,229,240,207,122,202,227,220,171,182,188,191,198,206,213,217,221,225,228,232,231,241,255,216,156,237,235,235,232,234,236,198,131,210,228,223,173,184,190,193,200,209,215,218,222,227,230,234,234,238,255,224,150,217,242,237,233,247,241,178,137,233,227,226,175,185,191,194,203,211,216,221,226,230,232,236,238,236,255,241,160,196,249,237,236,254,236,161,160,242,228,228,175,185,192,196,205,211,218,224,228,231,233,238,240,234,255,255,179,185,250,236,245,246,204,134,197,242,231,229,176,188,193,197,205,213,219,224,229,232,236,238,241,237,255,255,174,179,252,241,255,247,189,120,226,238,232,231,179,191,195,199,207,216,222,227,231,235,238,240,244,243,255,255,154,155,252,245,255,238,163,153,247,234,235,234,180,192,197,201,210,217,224,228,232,237,238,242,244,203,201,255,164,181,225,239,232,200,122,198,250,235,238,237,180,193,200,203,211,219,226,230,234,238,240,252,255,191,152,212,181,177,217,232,227,156,123,242,241,240,239,238,181,194,202,204,212,221,229,232,236,239,242,234,255,199,185,159,183,176,161,208,213,126,185,255,241,242,241,239,183,195,201,204,215,223,230,234,238,243,255,197,193,211,212,203,217,183,94,138,174,106,206,255,245,245,244,241,184,197,202,207,216,224,231,236,237,255,255,239,156,198,211,199,199,166,133,97,105,100,218,255,245,246,245,243,186,199,203,208,216,224,232,238,239,255,255,252,163,157,197,130,156,181,162,128,91,90,233,255,247,248,246,244,187,199,204,210,218,226,234,240,239,255,255,234,183,138,205,180,110,193,189,150,119,77,197,255,248,249,247,246,187,200,206,211,220,228,236,240,242,255,255,239,186,104,197,255,140,175,229,163,138,94,146,255,250,251,249,247,189,203,205,210,221,229,236,243,241,255,255,255,171,152,146,201,134,211,216,170,143,102,138,255,251,253,250,248,191,201,205,211,221,230,237,245,243,255,255,255,200,221,123,159,239,217,200,149,139,90,156,255,251,255,252,250,190,203,208,213,223,231,238,245,245,255,255,255,220,192,149,224,255,189,190,180,128,83,176,255,253,255,254,253,191,204,207,213,225,234,239,247,249,255,255,252,249,195,206,255,232,205,192,190,143,75,213,255,255,255,255,255,190,202,205,213,223,231,238,246,249,253,255,255,249,208,220,255,228,207,176,164,120,90,252,255,255,255,255,255,190,201,204,212,223,231,238,243,248,255,255,255,242,218,179,226,200,170,145,129,79,139,255,255,255,255,255,254,193,202,206,214,224,232,239,243,255,221,217,255,237,206,164,168,171,157,130,109,78,219,255,255,255,255,255,254
0,182,183,186,187,189,191,190,188,188,189,188,188,188,186,186,186,184,184,184,183,181,180,180,177,178,176,175,174,184,185,187,190,191,193,193,192,190,191,190,190,191,189,189,187,185,184,184,185,184,182,182,179,179,177,176,175,185,186,188,191,192,193,193,193,193,192,192,192,193,190,189,187,185,188,187,185,184,182,182,180,179,179,177,178,187,188,190,191,193,195,195,195,194,193,193,192,190,193,190,208,186,156,183,190,186,188,184,183,181,180,178,178,188,190,191,193,193,195,196,196,197,197,194,192,205,187,190,241,195,147,116,168,153,165,189,179,183,181,180,178,190,192,193,194,195,195,196,199,197,196,192,210,234,199,194,244,200,149,110,183,150,104,144,114,158,188,182,181,191,194,195,195,197,198,199,197,200,213,174,223,233,204,192,249,214,134,170,214,144,75,104,84,152,190,182,182,192,195,198,197,200,201,203,193,224,253,196,218,245,201,171,242,220,135,136,186,126,71,112,89,172,188,183,183,195,197,199,201,200,201,202,197,235,255,232,187,255,209,144,201,195,129,90,154,102,100,148,87,166,189,183,185,197,198,199,200,201,204,199,211,222,255,248,164,223,193,117,150,175,125,86,150,95,149,173,91,147,195,184,186,199,201,201,202,201,204,199,221,212,213,209,141,182,171,99,92,180,117,79,162,106,190,183,96,151,196,186,187,198,201,202,203,204,206,198,234,233,197,189,119,152,173,95,67,187,130,83,93,163,215,166,88,166,196,188,187,199,202,202,203,205,205,208,244,197,153,183,140,115,194,108,77,168,194,194,120,178,205,140,87,183,193,190,188,201,204,203,205,205,204,219,254,212,159,139,149,113,174,121,143,213,223,202,173,138,162,126,100,196,192,192,189,201,205,206,207,208,206,222,255,218,181,149,140,184,191,210,226,221,206,177,157,139,115,109,105,198,192,192,190,203,206,210,210,211,204,235,255,226,203,186,166,193,230,240,240,223,199,171,148,130,102,86,113,202,191,193,192,204,207,209,210,212,206,245,255,234,219,198,179,210,243,252,254,225,193,171,142,117,95,80,165,202,195,195,193,205,209,209,210,214,207,247,255,234,213,193,183,215,246,255,253,227,192,161,131,107,82,112,205,198,195,194,194,204,206,209,210,214,207,244,255,237,214,191,180,210,239,243,234,217,184,148,116,95,81,173,204,197,196,196,193,204,206,210,210,213,207,227,255,232,213,199,185,213,229,221,204,182,159,135,108,85,157,206,198,197,197,196,193,204,207,211,210,214,209,223,242,216,218,209,187,210,221,204,176,150,141,118,96,163,208,200,200,200,198,196,193,209,209,212,212,215,211,224,241,219,221,205,187,202,218,192,152,130,121,95,163,210,202,204,202,199,198,196,194,208,210,211,213,215,212,231,255,240,212,193,191,189,202,169,126,116,93,153,213,205,203,205,204,201,199,198,194,208,210,212,209,224,205,201,255,250,211,195,195,174,185,146,112,92,130,213,206,207,205,204,203,202,201,202,195,206,209,213,207,235,255,182,213,238,203,196,185,168,172,123,92,79,185,212,204,205,205,201,202,202,196,180,168,211,212,217,210,241,255,255,138,254,236,220,205,179,167,126,92,84,198,213,214,210,198,206,209,185,158,164,157,150,152,150,142,255,255,255,146,150,255,233,214,184,160,137,123,107,123,138,128,133,190,215,200,176,111,189,171,92,93,78,130,255,255,255,173,91,246,220,198,172,151,130,115,110,100,76,98,189,226,201,173,187,98,155,191
1,19,42,46,53,63,80,91,100,105,108,112,113,116,121,125,125,127,132,131,131,134,135,134,136,137,137,138,138,24,42,46,55,64,84,93,100,106,110,114,115,117,122,122,138,111,97,138,135,134,136,137,138,138,138,138,138,30,42,48,56,65,85,94,101,107,111,115,117,121,124,125,151,98,64,119,114,139,137,139,139,139,139,139,139,34,43,50,57,69,87,95,103,108,113,116,117,121,131,112,145,96,85,112,75,141,138,139,140,141,141,140,140,37,44,51,58,71,89,97,105,109,114,117,118,124,143,90,137,92,95,124,71,133,141,141,142,142,141,142,142,38,45,51,58,73,91,100,106,111,115,119,116,135,134,88,144,94,98,127,67,128,145,141,143,144,144,143,143,40,47,52,60,75,93,100,107,111,116,120,118,141,125,81,139,90,99,134,73,126,148,144,145,145,145,145,145,42,47,53,62,78,94,101,108,113,114,134,114,123,116,83,142,90,97,126,71,124,150,145,147,146,147,147,146,42,47,54,63,80,93,102,110,113,116,145,87,122,102,104,148,85,100,137,69,122,151,146,148,148,148,148,147,43,49,56,63,83,94,102,111,111,128,139,73,126,89,126,143,77,117,150,72,124,153,148,149,149,149,150,150,44,48,56,66,86,95,103,112,110,146,122,76,140,89,114,120,62,122,136,70,128,154,150,150,151,151,151,151,45,49,58,68,86,96,104,112,114,155,104,76,131,68,104,102,57,134,127,65,134,154,151,151,152,152,152,152,45,52,59,69,88,97,106,110,123,158,96,68,115,105,107,114,128,137,120,64,138,154,152,154,152,153,153,153,47,52,59,71,90,98,108,107,138,151,91,83,122,146,106,119,129,123,108,63,141,155,153,154,153,153,153,153,47,53,60,73,91,99,108,107,151,152,134,124,142,143,135,124,108,102,89,61,140,156,153,154,156,156,156,155,48,53,61,74,92,100,107,114,164,136,123,125,118,109,149,151,137,110,83,59,141,156,154,156,157,157,157,157,49,55,61,75,92,102,103,135,164,117,95,89,73,72,142,143,138,124,96,58,142,156,154,157,157,158,158,158,50,56,62,78,95,103,102,150,155,112,108,114,101,133,158,147,125,108,86,46,128,163,156,158,158,158,160,159,49,56,63,80,96,103,103,154,159,127,110,114,139,181,162,137,117,83,69,42,96,168,156,159,159,159,160,159,49,57,63,81,95,104,105,151,171,140,120,114,145,185,166,133,110,77,57,43,82,167,157,160,161,160,160,160,51,57,64,82,94,103,106,144,172,140,127,118,139,177,157,132,101,76,54,39,106,168,158,161,161,161,161,162,52,59,66,84,96,105,108,137,168,139,133,121,127,164,150,123,93,73,54,50,148,164,161,162,162,163,163,163,52,58,67,85,96,104,110,127,163,145,142,131,142,158,133,107,83,68,44,91,168,161,163,163,164,164,164,164,51,59,67,87,96,104,113,120,149,146,140,128,141,145,118,95,77,63,44,132,167,162,164,164,165,165,166,165,53,59,68,87,97,107,113,117,139,143,136,124,116,121,108,88,79,58,54,152,165,164,165,166,166,166,166,166,52,57,66,85,94,105,113,115,127,140,134,123,115,116,114,98,79,51,69,162,161,162,164,166,166,166,165,165,51,56,66,85,92,102,112,117,129,145,141,132,125,115,114,102,75,45,92,168,158,162,164,164,165,165,165,165,50,55,67,84,93,103,112,115,158,145,137,142,127,113,96,88,71,38,95,168,158,162,164,165,165,165,166,166
19,176,176,176,178,180,181,182,182,181,182,183,182,181,180,181,180,180,179,177,176,176,175,175,175,173,173,173,172,176,178,179,180,181,182,182,183,183,183,183,183,182,182,182,181,181,181,179,178,178,177,176,176,175,175,175,174,176,179,180,181,182,183,184,184,185,184,184,184,183,183,183,183,182,181,181,181,180,179,178,178,177,176,175,175,177,179,181,182,183,184,185,186,187,187,187,185,185,184,183,184,184,182,182,181,181,181,181,179,177,177,176,175,178,180,181,183,184,185,187,187,188,188,188,188,188,186,186,185,184,183,183,182,182,182,181,179,178,177,177,176,179,182,182,183,185,187,187,189,189,188,188,188,189,189,187,186,185,184,183,183,182,181,181,180,178,179,178,178,180,182,183,186,186,188,189,190,190,190,190,189,188,188,188,190,188,187,185,184,184,184,181,182,181,180,179,179,181,183,186,188,189,190,190,191,191,190,189,190,189,188,183,177,184,187,186,187,187,184,183,183,180,178,180,179,183,184,186,188,190,190,192,192,191,192,191,190,189,193,177,141,149,189,177,178,181,180,176,180,178,127,174,182,185,185,187,189,190,191,192,191,192,188,185,188,188,194,187,182,191,194,181,181,193,186,178,163,131,118,179,182,185,187,189,189,190,192,192,194,197,174,165,173,179,183,175,165,157,164,155,164,178,159,135,127,141,176,185,183,184,188,189,189,191,192,191,192,174,168,178,179,172,173,168,160,127,117,118,122,154,154,168,180,189,187,183,185,188,189,190,191,194,187,197,210,194,195,196,188,179,166,133,112,118,100,96,164,196,192,192,189,187,185,184,185,189,190,191,192,196,187,219,230,206,190,182,177,172,157,125,97,110,102,104,183,193,190,189,187,187,187,187,187,187,189,192,193,196,187,216,220,190,164,139,131,132,141,129,105,111,103,109,187,191,192,190,190,188,188,188,187,188,190,193,194,196,187,202,209,179,133,122,91,87,156,136,110,113,104,120,193,193,192,192,191,191,189,189,188,189,190,192,194,198,185,195,209,177,138,102,77,132,154,130,113,114,102,140,201,193,193,194,193,192,190,190,188,190,191,193,195,199,184,192,213,182,151,124,94,99,98,96,102,103,109,120,198,196,194,193,193,192,191,190,188,191,193,195,196,199,185,191,213,186,157,130,117,90,69,66,75,92,103,101,185,199,195,194,194,192,192,190,189,191,194,196,196,201,183,184,211,183,158,132,120,118,99,88,94,103,110,103,174,202,195,196,194,193,193,192,192,192,194,196,197,200,186,180,208,181,156,134,121,121,108,99,104,110,115,109,178,202,196,196,195,194,194,194,192,192,194,196,198,202,189,178,206,182,153,134,122,121,109,100,105,112,115,116,189,200,197,196,196,195,195,195,194,192,195,196,199,202,193,182,200,175,150,132,121,119,114,107,109,117,117,134,202,199,198,198,197,196,195,194,194,195,196,197,198,202,194,192,203,175,148,133,123,118,118,116,118,125,115,166,205,198,200,199,198,197,197,195,195,195,197,198,201,203,191,195,206,181,155,138,126,118,123,123,125,120,142,199,201,201,201,200,198,197,197,196,196,194,196,197,199,205,186,196,202,181,166,143,125,119,126,125,122,158,198,203,202,201,200,199,198,198,198,197,195,193,196,195,197,199,187,200,193,171,158,141,124,123,124,116,144,202,202,200,201,199,199,198,198,197,196,195,194,193,196,197,198,196,198,207,197,177,157,144,128,120,119,112,159,201,202,201,201,200,199,198,198,197,195,195,194
23,163,163,163,162,163,164,164,163,161,161,160,158,158,157,156,156,155,154,151,150,149,147,145,143,143,136,32,9,166,165,166,165,165,166,165,165,164,163,163,162,160,159,158,158,156,156,153,152,151,149,147,144,148,130,17,6,167,167,166,167,168,168,168,167,168,166,165,165,164,162,161,160,157,157,156,154,153,152,150,147,157,105,6,4,170,169,169,170,171,171,172,171,169,167,166,166,166,165,165,163,162,158,157,157,156,155,153,147,160,82,0,0,173,172,172,173,173,173,173,173,172,171,170,169,159,161,163,161,155,163,162,159,158,156,154,150,156,56,0,0,174,175,174,174,175,174,174,174,173,172,172,158,126,120,133,132,118,100,156,162,158,158,157,154,152,33,0,0,175,176,177,177,178,177,175,176,175,175,167,146,152,129,127,138,133,73,89,175,159,159,159,157,160,53,0,0,178,178,178,179,178,179,178,177,177,176,166,151,134,96,74,105,96,96,48,127,173,160,159,157,164,83,3,0,179,178,179,180,179,180,180,178,178,174,169,146,116,65,100,118,123,94,81,51,142,168,160,158,162,110,70,0,180,179,180,180,181,181,181,180,179,170,165,128,119,67,172,181,180,145,95,59,117,173,162,161,161,131,103,37,182,181,181,181,181,182,183,182,180,163,155,114,111,103,184,176,176,181,168,151,168,167,164,163,163,141,86,127,182,182,182,182,184,185,183,185,175,160,147,105,97,137,165,150,148,133,142,179,170,168,166,164,165,145,115,120,184,184,185,185,185,185,184,184,159,150,138,122,126,136,141,142,143,122,66,163,167,168,167,165,165,155,138,134,186,186,186,185,185,185,186,161,133,132,139,149,158,167,165,156,140,113,64,150,154,134,167,167,164,165,149,103,187,187,187,186,185,188,179,158,143,136,137,139,149,144,133,124,113,113,74,122,167,112,136,175,166,164,164,120,187,188,188,187,187,189,177,157,145,132,125,132,139,141,145,140,122,110,82,52,126,89,110,180,166,166,165,159,189,190,190,189,188,192,170,162,166,140,131,131,137,144,137,134,132,71,47,18,64,39,106,182,167,168,165,164,190,192,193,194,190,195,163,161,162,134,127,134,143,145,139,135,121,59,26,13,20,49,164,173,170,168,166,164,192,193,194,193,192,197,164,145,160,151,152,153,148,146,135,122,84,43,28,21,30,154,181,171,171,170,168,165,191,192,192,192,191,195,163,140,170,162,156,150,122,107,91,59,55,46,29,18,126,187,172,172,172,170,167,164,192,193,192,192,192,196,161,143,163,153,145,133,104,64,27,32,56,40,21,52,178,174,173,171,170,166,167,167,194,194,194,194,193,198,161,145,153,144,144,135,105,53,18,36,32,30,21,99,189,172,173,170,168,172,166,145,194,194,194,194,194,198,159,146,148,143,147,145,96,36,13,16,23,37,27,143,186,174,173,179,177,137,96,107,193,193,193,194,192,198,159,143,146,155,159,135,78,44,23,28,42,38,50,179,177,182,179,133,90,46,100,115,200,201,202,203,200,206,157,137,149,162,154,117,75,52,30,32,49,26,108,198,179,149,89,28,24,25,107,126,140,145,148,152,157,165,137,138,155,163,148,107,68,53,33,32,35,48,173,149,86,38,20,22,20,13,85,138,76,76,74,73,76,74,112,144,153,155,138,99,66,51,32,29,32,53,73,37,14,30,17,20,11,11,42,138,92,92,94,92,88,87,127,145,146,141,118,88,57,44,29,24,34,31,33,18,11,31,13,13,11,12,9,86
23,146,149,150,155,160,165,168,171,174,176,178,180,181,184,185,186,187,187,187,187,186,186,186,185,184,183,183,183,147,150,151,156,161,165,170,171,174,177,179,181,183,184,186,187,188,187,187,187,187,187,187,186,186,185,185,184,147,151,152,157,162,166,170,172,175,178,180,182,185,185,187,188,189,188,187,188,189,189,188,187,187,187,186,185,148,151,153,158,163,167,171,174,176,180,182,184,186,188,188,188,189,189,189,190,191,190,189,189,188,187,187,186,149,151,154,159,165,169,173,176,178,181,183,185,187,188,190,191,191,191,191,191,187,174,170,180,188,188,188,187,151,152,155,160,166,171,175,177,180,183,185,186,187,189,191,193,193,192,190,189,182,167,161,156,170,173,190,188,151,153,155,161,166,171,175,178,180,183,186,188,189,191,192,193,195,196,184,187,178,147,164,157,134,122,187,190,151,155,158,163,167,172,176,179,182,185,187,190,192,194,195,195,201,192,157,155,133,98,132,124,115,153,191,191,153,156,159,163,168,173,177,181,184,186,189,191,192,194,195,200,201,186,131,88,125,159,188,180,183,193,193,193,154,157,160,164,169,173,177,181,184,187,190,191,192,195,196,205,197,185,136,116,192,193,194,197,196,195,194,194,155,157,160,165,170,176,179,182,185,187,190,192,193,193,193,197,188,186,169,167,183,162,143,188,197,196,195,195,156,158,162,167,172,177,181,184,186,189,192,194,197,184,178,177,185,190,189,195,185,155,94,159,201,197,196,195,157,159,162,167,173,177,182,184,186,190,193,200,199,177,158,156,165,165,162,171,164,143,88,143,203,198,197,196,158,159,162,168,174,178,182,185,187,191,194,203,194,167,140,134,164,174,168,157,140,133,93,134,204,200,199,197,159,160,163,169,175,179,183,186,190,192,198,208,195,166,145,140,150,164,169,172,156,121,79,125,204,201,200,199,159,160,164,170,176,180,183,188,191,193,206,209,198,181,176,173,160,141,130,138,141,111,65,129,206,202,200,200,159,161,165,171,177,181,185,189,192,197,211,210,197,180,179,168,178,160,137,123,99,81,62,124,192,204,202,201,159,161,166,172,177,181,186,189,193,208,214,212,190,166,157,135,170,173,148,116,84,66,84,127,149,203,203,202,159,161,166,172,177,182,187,188,205,220,214,201,162,124,117,106,116,155,157,108,72,67,91,110,89,149,205,203,161,163,167,172,178,184,185,200,221,221,206,183,156,117,80,85,111,181,168,100,69,65,89,86,62,72,185,205,162,163,167,173,178,182,195,220,224,213,194,173,154,119,73,99,149,173,142,82,62,62,86,79,63,61,165,207,162,164,167,173,178,184,218,227,217,201,182,173,151,111,67,64,94,111,96,62,56,75,84,77,64,95,187,206,162,164,168,174,178,200,229,223,212,193,178,166,138,106,76,54,60,70,74,68,63,83,85,80,115,184,208,207,161,162,168,174,189,225,223,215,202,182,168,153,126,98,71,67,84,92,89,82,70,74,99,153,201,209,207,207,160,161,149,146,213,227,212,202,187,171,156,139,112,88,68,81,97,100,91,78,77,123,189,208,209,208,207,207,161,160,95,70,192,217,201,187,170,154,141,125,101,82,73,88,93,85,71,89,162,205,211,209,209,208,208,207,161,137,67,52,92,160,181,169,158,145,133,115,94,73,69,81,77,67,97,177,211,211,210,210,209,208,208,208,158,94,52,51,53,71,111,132,133,128,117,106,79,53,52,61,67,111,188,213,211,211,211,211,210,209,209,208
21,45,54,64,82,101,112,121,126,131,135,136,141,145,149,154,155,158,160,162,164,164,165,165,166,167,166,167,167,46,55,67,86,103,115,121,126,132,136,138,144,147,150,147,159,160,163,164,165,167,169,169,169,169,169,169,169,49,58,67,90,106,117,124,130,135,138,141,144,160,165,75,148,168,165,167,167,170,172,171,170,172,172,171,171,50,61,71,92,108,117,126,132,136,139,145,143,172,167,67,140,173,166,168,171,173,173,171,171,174,174,174,174,51,61,73,95,110,119,127,132,140,143,148,145,174,165,76,135,174,169,171,172,177,177,177,180,179,177,176,175,53,63,75,97,110,123,129,133,140,144,148,147,178,175,84,133,178,170,174,173,178,180,172,160,179,178,179,179,54,66,79,100,112,124,131,137,142,144,149,149,179,176,90,123,182,173,178,177,178,179,141,77,159,186,181,182,57,67,82,104,114,125,132,138,144,145,150,150,179,172,93,107,184,173,179,178,183,166,108,84,181,184,183,183,59,67,83,104,115,125,133,141,145,145,153,151,188,176,93,104,185,173,180,185,182,140,77,152,195,184,184,184,60,69,87,107,117,127,135,142,146,146,152,154,199,182,103,112,186,175,181,179,156,103,110,195,186,187,186,186,60,71,90,108,119,129,136,142,145,149,167,136,176,160,98,106,187,177,185,174,128,78,174,192,187,189,189,188,62,72,91,109,120,130,137,144,146,159,163,104,106,106,78,108,187,179,184,165,87,125,199,187,190,190,189,190,65,73,93,110,119,131,139,142,160,183,119,101,65,60,63,111,163,164,166,113,82,188,190,191,192,191,190,190,65,73,95,111,121,131,139,144,192,200,165,133,72,39,61,97,135,136,117,62,149,199,188,192,192,192,192,191,65,75,98,112,122,132,138,156,198,210,215,131,75,42,53,82,104,111,69,95,198,191,193,193,193,193,194,194,66,76,98,112,123,133,137,165,176,163,174,111,69,53,51,70,85,86,61,174,197,193,193,194,194,194,195,194,67,78,100,113,123,134,137,191,174,96,124,134,83,58,52,58,70,49,104,204,190,194,195,196,195,195,195,194,68,79,103,114,125,133,146,192,129,89,102,151,99,65,55,49,59,44,139,203,192,195,195,196,195,196,198,196,68,81,105,113,126,128,164,190,140,134,126,176,120,94,66,50,54,45,149,204,195,197,197,196,196,197,198,195,68,83,103,113,128,128,178,194,168,124,178,213,127,115,73,48,51,50,167,200,196,198,199,200,199,199,198,196,69,85,106,114,129,129,189,210,159,136,224,182,122,109,73,48,48,57,187,199,197,197,199,199,199,200,199,198,70,86,106,115,129,130,199,197,144,158,207,157,116,96,83,55,40,84,203,196,197,198,199,199,200,200,199,199,70,86,105,115,130,131,190,172,158,158,203,152,140,92,68,57,38,129,206,195,198,198,199,200,202,201,200,200,69,88,106,119,132,135,169,180,184,156,207,141,132,97,58,54,41,161,203,195,199,199,200,201,202,202,200,200,69,90,108,119,130,136,158,208,170,150,190,123,103,73,53,48,54,181,200,197,200,200,202,202,203,202,201,201,67,90,107,117,128,137,154,195,164,139,159,113,84,68,55,37,74,196,195,200,201,202,203,204,203,203,202,202,65,88,103,116,127,139,147,170,149,142,146,123,103,78,58,30,90,201,191,195,199,199,200,201,202,201,202,201,66,88,101,116,127,139,145,160,157,150,146,139,121,80,55,24,100,201,189,194,198,199,200,200,201,202,202,200
8,222,222,222,222,223,221,226,198,173,225,221,222,222,221,220,218,218,218,216,215,214,213,212,212,210,209,208,206,224,223,223,223,223,223,221,178,135,223,224,223,223,224,223,221,221,220,219,218,217,216,215,213,212,211,210,208,225,224,224,225,225,226,212,154,145,233,225,225,225,225,224,224,222,222,221,220,219,218,217,215,214,213,211,211,228,226,227,227,227,224,202,128,179,238,225,227,228,228,227,225,224,224,224,222,221,220,219,217,217,215,215,213,228,228,227,228,229,224,184,116,217,232,227,227,227,228,228,226,227,227,224,223,222,222,221,220,218,217,216,214,229,229,229,230,229,224,180,124,226,231,230,233,234,230,229,227,226,228,226,225,224,223,223,222,221,219,217,216,231,230,230,230,231,222,170,129,233,233,231,210,198,235,233,231,233,228,228,226,222,226,223,224,223,221,219,218,232,232,232,233,233,216,162,123,231,235,220,191,147,175,197,164,204,236,228,230,186,209,229,224,224,223,221,220,233,234,234,234,234,219,195,135,211,235,217,208,178,126,158,152,135,202,172,187,193,162,238,225,225,224,223,222,233,234,234,234,235,222,212,156,191,234,215,222,189,138,135,158,139,187,162,136,195,160,187,239,226,225,223,222,235,235,235,235,236,228,207,177,180,205,211,226,195,143,123,139,167,192,153,122,179,188,135,190,231,226,224,223,236,238,236,235,236,231,215,208,190,189,174,211,196,153,117,117,176,181,140,109,151,204,170,128,192,236,224,224,237,239,237,237,238,231,228,202,178,171,168,182,204,156,110,113,181,168,133,94,148,215,179,117,185,238,225,224,238,239,239,238,239,232,216,180,155,140,141,155,217,186,130,118,182,156,114,81,186,216,155,120,227,230,227,226,239,240,240,239,240,230,219,196,170,136,125,111,202,228,165,122,183,146,93,118,196,197,124,172,241,227,229,227,240,240,239,240,241,225,220,208,172,129,126,121,193,218,166,129,161,151,161,168,199,160,117,224,235,231,229,228,241,240,240,241,240,221,225,209,169,140,123,137,218,179,118,142,168,178,184,152,168,124,142,245,230,232,230,228,241,241,242,242,240,224,226,203,178,146,130,149,201,192,189,210,204,184,175,134,131,98,198,242,232,233,231,229,241,241,242,242,239,225,223,209,180,142,139,184,224,224,234,221,197,180,160,124,93,160,243,234,235,233,232,231,241,240,241,242,239,218,223,216,180,147,158,212,229,229,229,210,189,169,145,95,147,245,237,236,235,234,233,232,240,240,242,242,240,220,217,212,188,155,174,219,225,236,223,198,177,158,108,133,242,238,236,235,234,234,232,230,241,242,242,243,243,225,218,211,190,155,180,215,211,217,201,182,164,121,119,234,239,235,235,235,235,233,231,229,243,242,242,243,242,225,220,214,186,165,180,211,200,197,173,158,124,107,223,244,236,237,236,235,234,234,232,229,242,242,242,243,240,226,217,205,191,179,178,206,194,180,160,120,99,211,248,238,241,239,236,235,233,232,231,233,241,241,241,243,235,223,214,209,205,188,178,197,183,161,131,99,205,249,239,241,240,239,236,236,236,238,242,220,246,248,249,251,228,220,217,216,203,187,188,195,169,136,97,191,255,240,244,242,241,245,246,238,225,211,175,130,181,186,190,192,204,227,225,219,202,188,189,181,151,112,123,231,229,232,232,233,233,213,175,145,120,108,93,94,140,141,142,136,194,234,223,209,195,191,174,163,139,105,120,147,151,155,155,156,142,115,94,93,89,88,94,88
7,252,251,252,251,251,250,251,250,250,249,247,245,243,242,241,240,237,234,233,232,230,229,227,225,222,217,215,214,255,255,255,253,255,255,255,253,253,252,251,249,247,245,243,243,241,240,237,234,233,231,230,226,225,222,217,219,255,255,255,255,255,255,255,255,255,254,252,251,249,249,248,247,245,243,240,237,236,233,232,229,227,224,220,219,255,255,255,255,255,255,255,255,255,255,253,252,253,252,250,248,248,246,242,241,240,237,234,233,230,226,223,222,255,255,255,255,255,255,255,255,255,255,255,255,255,252,251,250,249,248,247,244,242,240,236,234,233,229,227,224,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,251,250,248,245,243,243,241,238,234,232,230,227,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,250,249,245,242,241,239,236,234,231,230,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,253,250,249,249,246,244,239,235,233,231,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,247,240,237,233,237,240,235,233,255,255,255,255,255,255,255,255,255,255,255,255,255,245,233,219,207,185,180,185,187,158,165,206,195,230,240,235,255,255,255,255,255,255,255,251,220,197,187,180,181,173,161,157,162,130,140,147,141,139,149,193,159,217,244,238,255,255,255,255,255,255,233,205,181,141,148,158,159,163,159,161,132,125,117,116,114,119,98,125,179,238,248,240,255,255,255,255,241,218,214,207,179,133,126,126,125,130,134,139,136,148,138,106,115,110,104,110,118,129,205,246,255,255,255,218,202,207,208,195,182,164,146,144,147,159,164,163,165,157,145,94,105,111,95,91,76,102,138,248,255,255,209,203,205,205,194,194,197,182,162,158,156,168,156,150,143,131,109,76,75,78,74,78,77,91,178,249,248,214,212,210,206,201,199,208,192,164,110,101,117,122,108,104,111,114,119,140,174,193,210,215,221,228,245,241,207,219,220,212,207,209,206,182,167,133,76,82,88,65,164,234,234,253,255,255,255,255,255,255,255,251,251,253,211,219,216,211,210,202,176,159,157,124,95,70,64,65,73,228,255,255,255,255,255,255,253,248,249,255,228,189,211,210,216,219,209,184,163,148,146,159,155,90,58,70,38,157,255,255,255,255,255,255,255,255,246,156,95,78,208,213,220,211,186,154,143,139,143,161,141,76,62,52,88,255,255,255,255,255,255,255,234,175,110,66,59,68,210,213,207,182,155,140,135,129,126,129,91,61,40,74,253,255,255,255,255,244,196,143,93,65,60,67,55,62,207,196,170,157,153,146,144,126,101,98,88,70,43,101,255,255,252,251,205,114,75,62,67,68,68,69,51,52,181,164,159,155,144,129,111,93,84,104,109,72,46,151,184,104,98,93,73,67,84,64,55,63,65,67,49,42,167,165,156,131,109,99,92,93,100,110,85,61,82,101,50,49,62,47,66,53,58,66,34,49,62,65,46,41,165,156,135,117,110,107,99,92,87,75,71,89,86,78,67,35,61,45,52,45,48,51,29,40,57,61,39,44,143,121,111,112,109,102,86,76,80,83,86,76,66,58,60,34,41,46,36,40,45,38,25,35,56,55,33,44,90,72,80,86,89,88,96,103,79,81,69,61,51,57,50,41,24,43,30,35,42,29,26,35,53,51,29,44,62,113,133,130,127,133,134,105,64,52,61,61,44,49,42,43,17,30,32,32,42,26,27,39,51,48,25,50
22,179,181,184,187,192,194,196,199,201,202,201,207,207,207,205,203,210,207,210,212,209,210,210,210,210,210,209,208,181,184,188,190,193,196,199,202,206,207,154,192,214,210,219,151,193,217,200,200,216,214,212,213,213,212,212,211,183,186,190,193,196,200,203,204,210,201,129,183,219,216,228,135,182,228,194,143,216,216,215,215,216,217,215,215,185,189,192,195,199,203,206,206,216,198,113,186,220,224,225,142,192,231,199,130,212,221,217,217,219,220,219,217,188,193,194,198,201,205,208,209,221,201,116,188,222,228,217,145,201,234,197,132,211,223,220,221,222,222,222,220,190,194,196,199,203,207,212,210,223,216,121,186,225,231,203,142,207,235,202,141,215,226,223,223,224,223,222,222,192,195,199,202,206,210,215,214,226,226,126,178,229,231,187,141,209,236,195,143,223,227,226,225,225,224,225,225,194,197,201,205,208,213,217,216,229,227,124,176,238,217,171,144,213,236,195,144,226,229,228,229,228,228,228,228,196,200,203,207,210,214,218,218,226,241,152,165,228,200,169,141,220,239,193,147,232,229,229,230,230,230,230,229,198,202,205,207,212,216,218,220,225,235,191,162,146,172,184,145,229,241,184,155,239,229,230,232,231,231,232,232,199,204,207,210,214,217,221,222,227,238,212,190,172,159,163,161,238,235,172,167,243,231,233,234,235,234,233,233,201,205,208,212,215,220,224,222,236,250,225,212,227,207,143,154,229,221,161,184,244,234,236,235,235,236,235,236,203,206,209,213,216,221,224,228,227,200,222,152,215,213,163,114,171,181,134,201,245,235,237,237,236,237,237,236,205,208,213,215,218,223,225,230,233,203,203,125,120,214,197,142,114,138,119,215,245,237,237,239,238,238,237,237,206,209,213,216,220,224,224,235,238,186,189,162,81,152,228,181,126,109,120,232,242,239,239,239,240,240,239,239,207,211,213,218,222,226,226,241,237,192,166,146,115,132,244,214,159,121,120,238,243,241,242,242,242,242,241,241,208,212,215,218,221,227,227,248,243,192,149,139,126,213,246,211,173,141,122,240,244,241,242,244,244,244,244,243,210,213,215,219,221,226,228,249,233,189,161,164,172,254,238,195,163,134,125,243,244,243,243,245,245,245,245,243,211,214,216,220,223,228,230,243,229,186,183,158,202,251,219,185,148,117,149,253,244,246,244,245,246,246,246,245,211,215,219,221,224,229,230,240,225,184,182,161,221,251,203,170,143,111,168,255,244,248,247,248,248,248,247,246,209,214,218,221,225,229,232,237,224,185,199,170,230,249,194,160,133,108,177,255,246,249,249,249,249,248,248,248,210,213,217,220,225,228,231,231,224,193,209,173,219,229,186,155,131,103,192,255,246,250,250,249,250,250,248,248,210,213,217,220,224,227,231,230,224,199,207,175,209,211,172,149,126,108,211,253,247,249,250,250,250,249,248,248,211,215,219,223,224,229,233,233,230,200,188,159,190,190,157,148,124,120,234,250,249,250,250,250,250,250,250,249,212,216,221,223,226,230,231,230,228,196,168,158,193,171,158,152,114,166,255,247,250,250,250,251,251,250,250,250,211,215,219,223,228,231,227,234,238,208,185,177,200,159,169,135,116,229,253,248,249,250,251,251,251,251,250,249,213,217,223,226,230,234,225,232,237,215,204,185,191,156,163,108,174,255,246,248,249,250,251,252,251,251,251,250,185,191,198,204,209,211,212,229,214,202,208,181,182,158,139,109,214,253,248,248,249,251,250,251,252,252,251,249
13,226,229,230,231,232,233,234,234,233,233,233,233,234,233,232,230,230,229,227,227,225,224,223,222,221,221,220,218,229,230,231,233,234,236,237,238,237,236,235,235,235,234,234,231,230,230,229,230,227,226,225,223,222,221,221,220,231,232,234,234,237,238,238,240,240,238,237,236,237,235,236,234,232,231,232,232,230,229,227,226,225,224,223,222,233,236,237,237,239,240,239,239,239,239,240,238,237,238,238,237,236,239,236,232,231,229,230,229,228,227,224,224,234,237,238,239,240,241,241,241,240,239,241,240,240,240,238,237,217,204,234,235,232,241,232,230,230,230,229,225,236,239,242,241,242,242,244,243,243,247,244,244,238,239,244,235,185,117,139,230,191,180,230,235,230,232,231,228,239,240,243,242,245,247,244,250,233,205,243,250,205,175,233,220,177,124,88,173,169,105,144,241,232,232,231,229,239,241,245,247,247,246,252,255,235,153,172,242,202,143,208,230,171,137,88,155,162,130,94,204,243,232,232,231,242,244,248,248,249,244,255,255,235,168,168,236,190,151,230,255,188,137,102,193,176,141,78,192,247,233,234,232,244,247,249,249,249,249,255,255,240,169,182,242,184,144,255,255,181,124,149,236,172,122,83,208,245,236,235,234,246,248,250,250,247,255,255,255,243,160,175,236,191,126,195,232,144,112,127,164,122,88,95,232,243,238,238,237,247,250,252,249,255,255,255,223,189,125,170,230,180,130,69,108,145,136,123,121,128,92,132,252,240,241,241,239,249,251,252,248,255,255,238,182,139,102,162,186,155,100,43,62,120,116,145,174,175,133,151,255,241,244,242,240,250,252,253,253,255,255,255,214,170,96,136,152,124,122,158,207,212,201,204,186,197,172,123,237,249,245,244,242,251,254,253,255,255,255,255,255,219,146,142,194,216,255,255,252,242,228,217,171,157,152,110,197,255,246,247,245,255,255,253,255,255,255,255,255,223,205,211,253,255,255,251,241,233,214,198,173,145,149,117,165,255,247,248,246,255,255,253,255,255,255,255,255,232,231,244,255,255,255,248,241,230,209,187,173,153,144,115,141,255,248,249,247,255,255,254,255,255,255,255,255,236,232,245,255,255,255,249,241,218,193,178,163,139,133,92,175,255,249,248,249,255,255,254,255,255,255,255,247,224,221,238,249,255,250,243,226,199,182,165,143,127,87,138,255,251,251,251,250,255,255,255,255,255,255,248,222,212,230,239,242,233,236,230,209,192,168,143,124,86,98,246,255,254,253,252,251,255,235,176,254,255,254,240,230,223,237,244,233,219,211,203,181,157,135,112,78,106,234,255,255,255,254,253,251,255,167,76,140,255,255,255,255,235,222,239,222,191,173,177,153,128,95,102,172,253,255,255,255,255,255,254,252,201,114,124,98,157,255,255,255,233,206,219,200,163,152,149,117,81,139,248,255,255,255,255,255,255,255,255,254,135,110,112,114,95,134,202,200,195,191,210,178,147,135,112,81,185,255,255,255,255,255,255,255,255,255,255,255,123,111,105,106,116,57,68,90,89,94,113,114,109,101,74,195,255,255,255,255,255,255,255,255,255,255,255,255,114,105,103,100,113,87,39,78,76,67,60,58,59,62,60,216,255,255,255,255,255,255,255,255,255,255,255,255,109,105,99,95,107,97,30,60,72,62,62,59,56,50,25,78,255,255,255,255,255,255,255,255,255,255,255,255,108,102,100,87,101,91,28,49,63,58,59,54,56,46,21,192,255,255,255,255,255,255,255,255,255,255,255,255
24,178,178,178,179,179,179,179,179,179,178,178,178,177,176,174,173,172,171,169,169,167,165,165,163,160,159,157,155,180,181,181,181,182,182,181,181,181,181,181,181,180,178,177,177,175,173,172,171,170,169,168,166,164,163,159,158,184,184,185,186,185,185,184,183,184,184,185,184,183,181,180,180,179,177,172,147,163,173,171,169,167,165,162,160,186,186,187,187,187,187,187,187,187,187,187,186,185,184,183,182,182,180,176,122,133,176,173,171,169,167,165,163,189,189,189,189,190,190,191,189,188,188,188,188,187,187,186,185,184,184,181,120,125,178,176,174,171,170,168,166,193,192,192,193,193,171,171,193,192,192,192,191,190,189,188,187,186,188,181,118,129,182,179,177,176,174,171,170,194,194,195,195,191,150,118,183,196,196,195,194,194,192,191,190,188,194,179,113,142,184,181,180,178,175,173,173,196,196,196,196,193,155,108,151,200,197,197,197,196,194,194,193,191,199,174,112,156,187,183,181,179,177,175,174,199,199,198,199,200,173,123,121,200,198,198,199,198,196,196,195,196,199,157,105,170,188,185,184,182,180,178,176,201,201,201,201,202,188,139,101,188,201,200,200,200,199,198,190,188,194,141,102,183,189,188,187,184,183,180,178,202,202,202,201,203,198,161,104,158,206,203,199,181,180,193,166,124,142,131,123,193,191,191,189,186,184,183,180,204,204,204,204,204,203,174,118,120,204,204,187,163,144,152,145,115,95,102,146,197,194,193,191,188,187,185,182,206,206,207,207,206,208,183,137,102,185,199,183,173,149,141,133,145,114,74,166,199,196,194,193,190,189,187,184,208,208,208,208,208,208,195,165,116,146,180,178,182,150,146,145,151,116,79,182,200,197,195,194,192,190,188,186,209,210,210,209,209,209,204,183,130,112,140,153,192,152,116,116,141,131,86,169,203,200,197,196,194,192,190,188,210,211,211,211,211,212,211,191,160,140,125,127,176,150,87,67,152,151,99,126,203,201,199,197,196,195,191,189,212,212,212,213,213,214,212,198,193,152,110,93,154,132,78,61,142,170,132,89,176,202,200,199,198,196,194,191,214,214,214,215,215,214,215,202,190,138,108,92,147,121,77,97,181,189,154,86,138,205,201,200,199,197,194,193,215,216,216,217,217,217,217,209,191,165,149,109,144,137,101,164,198,183,139,81,140,206,202,201,199,197,195,194,216,217,218,218,218,219,219,213,195,187,163,120,128,126,150,206,192,166,125,72,162,208,203,202,201,198,197,195,217,217,218,218,218,218,219,214,191,196,174,143,112,131,197,209,185,155,117,78,182,208,204,203,201,201,199,196,217,217,217,217,218,219,220,215,192,186,177,159,121,138,201,200,177,147,105,84,194,207,204,203,201,200,197,196,218,218,218,219,220,220,220,219,192,179,176,169,139,131,193,196,167,133,90,96,203,206,204,202,201,198,196,195,219,219,220,221,221,221,222,222,199,181,179,174,159,128,180,190,156,114,72,126,211,208,206,204,202,200,198,197,220,221,221,221,221,222,223,223,212,188,184,175,168,119,150,167,129,90,60,165,211,207,207,205,203,203,182,150,218,220,221,221,222,224,224,225,220,193,189,175,158,123,122,140,110,73,76,197,211,209,208,206,191,154,94,59,154,157,162,166,169,173,176,180,184,194,187,168,153,138,115,132,108,63,123,201,201,197,181,140,94,60,47,42,108,109,111,111,109,109,109,107,124,193,192,179,170,148,127,132,99,63,99,120,117,106,83,57,49,48,42,40
21,73,79,88,102,115,124,131,135,139,142,144,147,151,154,156,159,161,162,164,165,166,167,167,168,168,168,168,168,74,80,90,104,117,126,132,136,140,143,146,149,153,154,148,157,163,164,165,166,168,169,169,169,169,169,169,169,76,82,91,106,119,127,134,138,142,145,148,151,160,154,123,148,165,166,167,168,170,171,171,171,171,171,171,171,77,84,93,108,120,128,135,140,143,147,150,153,166,155,114,142,167,168,169,171,172,173,172,172,173,173,173,173,78,85,95,110,122,130,136,141,145,149,152,155,168,157,116,140,167,170,171,172,175,175,174,174,176,175,175,175,79,86,97,111,123,132,137,142,146,150,152,156,171,161,121,140,169,172,173,173,176,176,167,160,172,177,177,177,81,88,99,114,124,133,139,144,148,150,153,158,172,163,123,136,170,174,175,176,177,171,145,125,160,178,179,179,82,89,101,116,126,134,140,145,149,151,154,159,173,163,122,130,169,175,177,178,177,160,127,124,167,180,180,180,84,90,102,117,127,135,141,146,150,152,155,161,177,166,124,129,170,175,178,179,172,144,121,150,180,182,182,181,85,92,105,119,128,136,142,147,150,152,157,161,180,168,127,132,171,176,179,174,155,127,136,174,184,184,183,183,85,93,107,120,130,137,143,148,151,155,159,150,162,152,121,130,171,178,179,168,137,123,161,183,185,185,185,184,87,94,108,121,130,138,144,149,154,161,154,129,123,117,106,128,169,176,175,155,123,141,179,185,186,186,185,185,88,95,109,122,131,139,145,151,165,171,145,120,97,88,93,123,157,163,156,129,124,168,185,187,187,187,186,186,89,96,110,123,132,139,146,156,180,187,166,134,96,76,86,112,137,141,126,111,149,183,187,187,187,188,187,187,89,97,112,124,132,140,146,162,184,193,184,139,97,76,81,100,117,118,105,125,174,187,188,188,188,188,189,188,90,98,113,124,133,140,148,166,173,166,163,131,97,80,79,91,101,101,106,158,186,188,189,189,189,189,189,189,91,99,114,125,133,141,151,174,162,131,135,134,105,85,79,83,88,88,123,179,188,189,190,190,190,190,190,190,92,100,115,125,134,141,156,174,147,121,127,143,117,93,81,78,80,86,139,185,190,190,190,190,190,191,191,190,92,102,116,126,134,142,164,176,153,138,145,162,133,109,89,78,77,87,148,188,191,191,191,191,191,192,192,191,93,103,116,126,135,144,172,183,164,148,172,181,143,120,95,78,76,92,157,189,191,192,193,193,193,193,192,191,93,104,118,127,136,146,179,189,164,158,190,176,138,118,96,78,76,99,168,191,192,192,193,193,193,193,193,192,94,104,118,127,136,147,182,184,160,164,187,164,134,114,97,81,77,114,179,191,192,192,193,193,194,194,193,193,94,104,118,128,137,147,175,175,164,167,184,160,139,112,92,80,81,135,186,191,192,192,193,194,195,194,194,194,94,105,119,129,138,147,168,178,174,168,182,153,134,109,86,78,87,152,189,191,193,193,194,195,195,195,194,194,94,107,120,129,138,146,164,185,172,162,170,140,118,97,81,75,95,164,190,192,193,194,195,196,196,195,195,195,93,106,119,129,137,145,160,179,166,153,155,130,108,92,79,73,105,173,190,192,194,195,196,196,196,196,195,195,92,105,117,127,137,145,155,166,158,151,149,134,116,97,80,72,113,177,188,191,193,194,194,195,195,195,195,195,92,105,116,127,136,145,152,161,159,154,150,142,126,101,79,70,117,179,187,189,192,193,194,194,195,195,195,195
3,92,32,58,83,100,108,117,126,133,137,142,145,148,150,152,154,156,158,160,161,149,165,167,169,171,172,172,173,84,29,63,86,101,109,118,127,134,138,142,146,149,151,152,156,157,159,162,173,118,145,173,170,170,172,173,175,74,30,68,87,103,111,120,129,135,140,144,147,149,151,154,156,159,160,166,184,120,130,176,170,171,173,174,175,64,33,72,90,104,112,122,131,136,141,146,149,150,152,155,157,161,160,170,181,113,133,176,169,172,173,174,176,55,36,74,92,105,113,123,133,136,142,146,149,151,155,156,157,164,162,175,180,113,141,177,171,174,175,176,177,45,42,77,95,106,114,125,133,138,143,148,149,153,157,160,161,151,154,184,166,111,141,178,173,176,177,178,179,36,49,80,97,108,116,126,135,140,144,148,150,152,143,171,194,159,125,171,146,106,143,181,175,177,178,178,179,31,56,83,99,109,118,127,136,140,146,144,174,194,156,134,169,178,117,143,144,96,156,181,177,179,178,180,181,29,61,85,101,109,119,129,137,141,144,151,167,182,190,144,123,175,146,155,134,100,171,179,179,179,180,181,182,31,65,87,103,112,121,131,138,137,163,203,173,118,143,162,105,162,164,157,127,97,174,179,178,180,182,182,183,34,70,88,104,113,122,132,139,138,173,183,172,150,116,157,139,92,93,156,141,110,134,184,179,182,183,183,184,38,73,91,105,114,122,133,139,139,179,161,119,155,144,128,159,93,84,144,173,157,104,161,185,182,183,184,186,44,75,94,106,115,123,134,139,142,187,150,94,104,105,109,112,112,114,120,171,160,106,159,187,182,184,185,186,47,78,95,107,116,124,134,137,146,184,149,139,122,96,110,111,130,125,129,178,156,106,173,186,184,185,186,186,51,81,96,107,117,125,135,136,155,191,168,142,114,100,116,132,146,127,145,196,154,112,184,185,186,187,188,189,56,83,98,108,117,126,135,135,158,193,153,123,104,107,123,147,151,148,174,194,141,119,189,184,186,186,189,190,61,85,99,109,118,127,136,136,160,190,152,127,111,114,130,155,159,184,190,185,132,119,190,184,187,187,188,190,65,86,100,110,119,128,137,135,159,195,164,135,119,115,132,158,181,203,183,163,128,122,192,184,188,189,189,190,68,87,102,111,120,128,136,137,158,196,168,145,123,123,134,171,201,200,180,145,108,139,193,185,188,189,190,190,72,87,103,112,120,129,136,138,156,197,177,152,128,128,139,186,200,192,178,140,94,150,192,185,188,190,190,190,74,89,103,112,121,129,136,140,150,190,176,154,142,134,145,194,199,185,170,133,91,165,191,185,188,191,191,191,76,91,103,112,120,130,135,141,146,175,177,162,157,144,150,189,193,178,163,123,95,179,188,188,189,191,191,191,78,92,104,112,121,131,135,141,144,164,181,171,164,156,145,176,180,164,150,114,111,191,187,188,189,190,191,191,79,93,105,113,121,132,137,141,145,162,184,175,166,152,142,160,166,154,150,100,137,195,186,188,189,190,192,192,79,94,105,113,121,132,137,142,144,165,195,175,162,143,138,151,152,150,146,102,169,190,187,189,190,190,193,193,81,95,105,113,122,132,136,142,143,172,200,172,162,145,141,154,146,151,122,119,190,185,188,189,190,191,192,192,81,96,105,114,123,131,136,143,142,183,199,181,169,148,153,161,145,141,104,149,191,184,188,189,190,191,192,192,82,97,105,114,123,131,135,143,143,188,200,195,164,150,161,161,141,121,99,168,188,186,189,189,190,192,192,192
17,191,192,195,196,198,201,203,203,205,205,207,209,209,210,211,213,214,215,217,216,216,217,218,217,218,218,218,219,190,192,195,196,198,202,204,204,205,207,209,210,210,210,212,214,216,218,219,221,219,222,220,218,220,219,219,220,191,193,195,199,202,203,204,205,206,208,208,212,213,213,213,215,217,218,210,203,216,189,214,221,221,220,221,221,192,194,196,200,203,204,206,207,208,209,210,212,212,215,215,218,217,221,215,165,159,142,177,230,221,221,221,221,193,195,198,201,203,206,207,208,210,211,214,215,215,215,218,219,218,222,237,189,131,118,181,232,221,223,223,222,194,196,199,202,204,206,209,209,211,213,213,214,216,217,218,220,220,220,241,201,148,103,197,231,221,224,224,223,195,197,200,202,204,207,209,210,211,212,213,217,217,220,222,220,223,220,242,217,167,115,215,228,225,225,223,223,195,199,201,203,204,206,209,211,213,214,214,216,220,200,204,229,222,221,246,219,172,144,230,226,228,225,226,224,196,201,202,203,205,208,210,212,214,216,215,215,222,204,157,193,231,228,247,212,171,155,232,227,227,226,227,226,196,200,202,204,206,208,210,213,213,212,212,216,230,211,186,163,196,223,244,213,167,150,231,227,228,227,227,227,197,201,204,204,206,210,212,210,219,223,189,167,215,232,228,222,174,140,202,208,175,152,230,229,230,229,228,227,198,201,202,206,210,211,213,211,234,236,186,154,204,213,241,235,207,142,141,184,166,148,229,229,229,228,228,228,197,202,204,208,209,211,212,220,223,204,218,182,188,162,188,250,229,174,123,152,151,142,228,230,230,229,228,228,200,203,204,207,209,211,212,224,235,181,177,167,129,114,120,253,244,200,132,128,134,133,227,231,231,230,229,229,200,203,205,208,210,213,211,231,218,172,155,169,136,135,132,235,255,216,153,123,132,127,222,234,230,231,231,231,201,203,206,209,211,213,210,234,227,206,188,177,153,175,160,215,255,217,172,125,130,126,214,236,230,232,232,232,202,204,208,209,211,212,215,243,217,189,182,172,166,192,195,236,244,220,185,132,122,124,216,236,231,232,232,232,201,204,208,210,212,213,223,239,199,180,174,172,185,188,250,255,219,207,184,130,116,116,218,237,233,233,232,233,201,204,206,210,215,212,231,243,205,189,175,178,185,222,255,253,221,195,174,131,111,118,224,236,235,233,232,232,202,204,208,211,215,211,237,246,210,196,174,181,193,255,254,243,216,189,167,128,111,131,238,232,234,234,232,233,202,205,209,211,215,210,244,244,215,206,182,183,220,255,248,239,208,175,161,126,106,165,244,231,233,234,233,233,202,205,210,214,216,209,252,243,220,214,199,185,235,255,239,236,210,166,151,123,111,212,238,232,235,234,233,233,202,206,211,213,218,211,255,250,225,225,213,192,234,253,232,226,208,165,143,114,140,241,232,235,234,234,234,234,203,208,211,213,216,211,248,255,230,231,218,205,217,248,226,225,198,162,136,108,191,243,232,234,233,233,234,234,202,207,212,214,217,212,237,255,235,224,212,215,212,236,219,229,204,155,133,112,216,240,234,235,235,234,234,234,204,208,211,213,217,215,230,255,232,221,207,211,216,224,213,232,208,156,129,122,231,237,236,236,237,236,235,235,205,208,210,213,217,215,233,252,228,220,207,207,215,222,210,230,196,155,125,154,245,235,236,237,237,236,235,235,202,207,210,213,218,214,236,253,240,222,212,215,220,221,205,224,180,147,120,200,243,235,236,236,236,235,235,235
22,23,61,79,79,84,87,89,100,115,124,130,133,136,140,143,146,150,150,152,157,156,156,157,156,156,157,156,155,22,65,79,80,84,88,90,101,116,126,132,134,137,141,144,147,150,151,157,140,151,159,159,160,157,157,156,155,25,70,79,82,85,89,91,103,118,128,133,136,138,142,147,151,151,153,170,98,129,166,153,147,161,159,158,157,28,74,80,82,85,89,92,104,118,128,134,137,141,142,149,152,150,161,171,95,136,170,138,103,162,160,160,159,33,75,81,84,87,90,93,106,119,129,133,152,154,99,149,154,151,171,172,94,144,178,127,104,168,161,161,160,39,77,80,84,88,91,94,107,121,133,134,154,143,81,144,157,152,180,166,96,154,185,122,117,172,163,163,162,44,80,82,85,89,91,96,108,123,133,138,148,150,87,134,161,155,177,152,96,165,185,115,135,172,165,165,164,50,82,82,85,89,92,96,111,123,134,141,144,153,96,119,164,158,170,137,93,172,178,102,148,172,166,166,166,54,82,83,86,90,93,98,113,124,135,142,143,155,110,104,162,162,165,126,97,187,157,93,161,172,169,169,169,59,83,83,87,91,92,98,113,127,136,142,141,156,117,83,150,165,151,118,99,194,137,100,173,171,171,171,170,64,84,84,87,90,93,99,114,128,137,143,141,157,145,92,132,161,137,103,115,193,118,111,178,170,173,173,171,70,84,84,87,90,94,99,116,127,137,143,142,157,170,106,103,145,135,120,165,178,102,126,180,172,173,174,173,75,84,84,86,90,93,101,116,128,138,144,156,132,140,93,93,129,153,181,186,155,92,145,181,173,175,175,175,78,84,85,88,90,93,101,117,128,137,149,165,130,117,97,111,135,169,188,178,141,90,161,179,176,177,177,176,80,84,85,88,91,94,102,116,128,138,147,152,167,167,130,85,109,150,170,170,139,88,170,180,178,177,177,177,82,83,85,87,92,94,102,119,130,139,147,162,177,184,127,90,88,116,138,148,125,88,170,182,179,179,179,178,83,84,85,87,91,94,103,119,131,141,143,178,165,146,136,119,93,93,101,104,111,86,161,185,181,181,180,180,84,84,86,88,92,95,103,119,132,142,145,177,163,135,149,143,118,98,92,82,96,83,152,188,181,183,181,181,86,85,85,87,91,94,103,120,131,142,143,181,176,148,139,150,141,131,108,82,83,81,150,190,183,185,184,183,86,85,84,87,90,94,105,120,132,144,144,181,183,156,141,192,152,142,112,87,86,80,151,191,184,185,185,184,85,84,84,86,91,93,105,121,134,144,146,170,196,150,159,213,157,131,108,93,92,83,158,191,185,186,185,184,85,85,85,87,90,94,106,122,133,144,147,162,189,139,170,198,157,129,109,101,92,86,168,191,187,187,187,187,86,86,85,86,90,96,107,122,133,144,147,155,175,144,165,182,162,140,110,99,94,90,169,190,187,188,188,188,86,86,86,89,91,95,108,122,134,143,149,152,165,162,166,174,157,134,110,96,95,91,169,192,189,190,191,191,85,84,85,88,91,95,109,123,135,144,149,151,159,172,158,159,149,115,103,97,93,84,166,195,190,191,191,191,87,84,84,87,91,94,109,123,135,145,148,150,159,169,148,140,144,108,103,100,92,75,155,198,190,192,191,191,85,83,83,86,89,93,107,122,134,144,147,151,160,160,133,138,160,145,125,102,93,73,131,198,188,191,190,190,84,81,82,85,87,92,106,121,134,143,147,151,158,164,164,170,169,156,143,110,89,76,98,188,188,190,190,190
12,131,136,139,140,144,146,148,149,150,151,152,152,155,157,156,156,156,156,156,156,156,156,154,153,152,152,152,151,133,137,139,141,145,147,149,151,150,151,152,155,156,157,157,157,158,157,157,157,156,155,155,155,155,153,153,151,134,137,141,143,145,147,148,151,152,154,156,156,157,157,154,157,160,160,157,158,157,157,157,156,156,154,155,155,135,138,141,144,146,148,149,152,154,155,154,157,155,152,179,156,132,148,161,158,159,156,158,157,157,156,156,154,136,139,143,145,147,149,152,154,156,153,169,194,173,131,174,184,124,99,160,158,160,161,158,158,158,156,156,155,137,140,143,146,148,150,154,156,158,152,196,218,192,149,110,171,155,90,141,178,140,140,161,159,158,157,156,156,137,140,143,147,149,151,154,156,158,153,194,200,202,174,146,112,146,122,116,188,135,94,138,164,158,158,158,157,138,141,145,148,150,152,154,157,156,151,190,167,154,181,148,79,125,140,80,126,140,83,97,165,160,159,158,158,138,142,146,149,151,153,156,151,166,188,147,128,141,159,144,122,141,109,60,86,117,83,82,162,162,159,158,159,139,143,147,149,152,155,152,166,216,186,130,86,116,168,169,169,151,118,96,144,102,77,84,163,162,160,159,160,139,144,148,149,152,155,150,204,204,172,138,91,61,142,157,149,164,174,159,151,96,68,94,169,162,162,161,162,140,144,148,150,154,151,175,198,182,187,148,99,41,76,105,135,162,195,182,145,91,53,121,170,162,163,162,162,142,145,148,151,155,149,200,189,175,191,154,113,54,55,56,81,155,179,187,162,130,78,147,170,162,163,163,162,141,145,148,153,150,175,200,176,158,197,176,132,61,62,64,114,180,171,163,139,142,108,116,171,163,164,164,162,139,144,148,151,147,202,204,176,133,154,194,144,81,55,135,191,182,166,158,124,120,108,97,168,164,163,164,164,140,145,147,149,148,208,207,176,134,111,156,185,112,125,208,180,173,161,148,121,103,86,114,171,164,164,163,163,142,146,149,150,155,216,208,176,160,158,121,130,140,207,207,182,168,161,136,118,92,78,138,171,165,165,164,164,141,146,150,150,157,217,205,185,183,174,144,141,198,211,207,188,156,145,125,115,88,82,158,169,166,167,164,164,142,146,150,149,156,212,208,198,189,176,157,152,199,209,197,178,148,128,120,108,81,101,171,167,167,166,165,165,141,146,148,152,153,206,213,203,189,172,159,153,193,202,184,162,134,123,122,98,74,138,174,167,168,168,165,163,139,143,147,152,146,189,211,196,185,175,164,160,183,188,168,144,128,126,120,84,94,169,168,167,167,165,164,162,142,146,150,155,151,175,204,185,176,172,165,161,176,183,160,138,125,121,106,79,146,176,170,171,170,169,168,168,118,120,121,123,117,149,202,170,169,169,159,145,164,182,158,129,114,108,91,84,121,121,119,119,118,118,117,118,82,80,79,83,70,114,204,164,168,171,158,143,155,176,141,108,99,96,85,76,72,72,72,71,70,70,69,70,91,90,89,91,82,117,208,170,178,175,159,144,150,171,128,100,93,88,83,84,82,82,81,80,80,78,78,78,90,89,89,92,82,117,213,183,192,184,165,145,140,166,127,103,85,81,83,84,84,81,80,79,80,78,78,78,90,89,89,93,84,111,209,192,200,183,164,141,132,159,129,100,84,80,83,84,83,81,81,81,80,81,80,76,89,91,91,92,87,100,200,194,194,172,156,142,128,149,124,94,82,79,83,83,82,81,80,80,82,80,76,85
18,128,130,133,135,137,139,140,142,144,145,147,147,147,147,148,149,150,150,150,150,150,151,151,151,151,150,150,149,130,132,134,136,138,141,143,144,145,146,149,148,148,149,149,151,152,152,153,152,151,151,152,152,152,152,152,151,131,133,136,138,139,142,145,146,148,148,150,150,151,151,152,152,153,152,152,153,152,153,154,154,155,155,154,154,134,135,138,139,141,144,147,148,149,150,151,152,153,153,154,154,154,155,156,155,155,156,156,156,156,156,156,155,134,136,139,141,144,146,148,150,151,152,154,153,154,156,157,156,155,154,145,154,158,160,160,157,157,157,157,157,135,138,140,143,145,147,150,151,152,153,155,155,156,158,156,154,170,148,114,108,157,147,145,162,160,158,158,158,137,139,142,144,145,148,151,151,154,157,156,158,159,157,136,115,151,130,88,85,90,124,106,124,167,159,161,161,138,141,144,145,147,150,151,154,155,156,157,153,153,179,132,105,130,124,90,86,70,119,123,80,143,167,161,161,140,143,145,147,150,151,153,156,157,157,165,142,107,142,152,126,135,141,127,125,111,101,110,81,114,173,161,163,140,143,147,150,151,152,155,157,157,159,175,155,127,97,142,140,111,144,152,151,148,119,80,68,113,174,164,166,142,144,147,150,152,154,156,158,158,164,162,170,151,110,100,139,99,111,151,149,151,123,83,56,122,174,165,167,143,145,149,150,152,155,157,159,159,167,135,148,146,124,79,105,112,93,125,122,143,128,92,57,129,175,166,167,144,147,150,153,155,156,158,160,160,169,123,107,133,103,67,80,103,77,83,114,151,141,104,61,144,172,166,168,145,147,150,153,156,156,159,161,162,172,151,123,121,84,59,74,88,65,66,79,161,150,116,68,149,175,167,168,147,149,151,154,156,158,160,162,165,171,147,114,109,85,58,67,88,54,54,106,164,163,129,78,98,178,168,169,147,150,151,154,156,158,160,162,165,170,157,128,104,85,57,69,89,54,113,170,165,158,126,93,69,163,175,171,148,151,153,155,156,159,162,163,163,174,167,141,111,88,77,69,69,116,179,176,170,146,113,92,78,165,175,172,150,152,154,156,158,161,163,164,164,175,169,143,118,101,93,88,110,169,180,171,158,138,100,79,88,177,172,173,151,152,154,157,159,161,164,166,166,173,170,151,132,120,107,98,133,175,181,165,137,119,95,68,108,181,172,174,150,153,155,157,160,162,164,167,165,171,170,155,137,120,110,101,133,174,179,157,131,109,88,67,130,182,172,174,151,154,156,158,160,163,164,168,167,167,167,156,137,121,128,107,123,173,175,146,120,98,83,69,152,180,174,175,152,154,155,160,161,163,166,167,169,166,164,160,144,134,137,111,109,172,161,134,107,89,77,79,170,178,176,177,152,154,157,159,161,165,166,166,168,166,161,158,149,134,137,118,103,164,149,120,98,83,72,97,183,176,177,178,152,155,156,159,161,162,164,165,168,169,164,160,152,135,131,117,98,153,138,105,91,83,66,120,187,176,178,178,151,153,155,158,161,161,163,166,168,168,167,167,151,131,121,103,89,137,119,91,85,81,71,152,181,177,178,178,151,153,156,158,162,163,164,166,168,161,170,165,140,123,103,86,95,125,103,93,88,75,105,179,175,177,178,178,152,154,157,159,162,163,165,168,167,162,179,162,142,128,107,103,102,122,97,96,85,75,155,180,176,177,178,178,152,154,157,160,163,164,166,168,166,166,178,168,151,139,113,104,113,112,97,95,69,117,181,175,178,177,178,179
20,157,158,159,159,160,159,159,160,160,159,159,159,159,158,157,155,154,153,151,150,148,146,145,143,141,140,138,137,160,162,162,163,163,162,162,163,163,163,163,163,165,152,146,158,157,156,155,152,151,149,148,145,144,142,141,139,164,166,166,166,166,166,166,166,166,166,166,167,177,149,115,156,159,159,158,156,154,153,151,149,147,145,144,142,169,169,170,170,170,171,170,170,170,170,171,170,176,154,92,105,133,162,161,159,158,156,154,152,150,149,146,144,173,173,174,174,174,175,174,174,174,174,174,174,181,151,82,107,105,155,166,163,161,160,158,156,154,152,150,147,175,176,177,178,178,179,179,178,178,179,178,177,185,143,82,138,110,137,171,168,165,163,162,159,158,156,154,151,179,180,181,181,181,182,181,181,181,182,182,181,191,147,91,153,115,122,173,171,169,167,166,163,161,159,157,156,183,183,184,184,184,185,185,185,185,185,185,185,196,143,93,160,134,117,175,174,173,171,170,167,163,163,160,159,185,186,186,186,187,187,187,187,187,188,187,191,197,128,96,170,142,110,175,177,175,174,173,171,167,165,163,162,188,189,190,190,191,190,190,190,191,190,183,191,196,128,112,182,140,103,175,180,178,176,175,173,171,168,167,162,192,193,193,193,194,193,193,193,193,191,176,166,172,135,112,176,144,103,176,182,180,179,178,175,173,171,170,149,194,195,195,196,196,196,196,196,195,197,201,189,156,128,106,162,153,112,174,184,183,182,180,179,176,173,172,159,198,198,198,199,199,199,199,198,199,190,171,183,163,158,111,136,141,109,171,188,186,185,182,181,178,177,174,164,200,200,199,200,200,201,201,201,201,199,150,122,165,173,103,87,103,94,165,192,188,187,185,183,180,178,176,168,202,201,200,201,201,202,202,203,203,204,148,78,151,169,123,83,77,76,156,194,191,188,187,185,182,179,177,176,203,203,202,202,202,203,203,204,203,199,154,99,119,155,148,111,97,67,143,197,193,190,188,187,184,181,179,178,204,204,204,204,205,206,206,205,198,193,164,131,90,100,143,133,110,66,124,199,195,192,191,188,186,184,181,179,207,207,207,207,207,207,207,202,196,179,174,159,116,93,115,136,119,77,105,199,197,194,193,191,189,186,182,180,208,208,208,207,208,208,206,198,178,136,139,160,136,92,94,131,148,105,86,184,200,196,194,193,191,188,185,182,209,210,210,210,210,210,207,197,184,141,87,118,128,79,77,120,162,134,81,137,202,198,196,194,191,189,187,185,211,212,211,211,211,213,209,196,177,147,103,83,108,83,84,155,179,155,90,104,201,200,198,197,193,191,189,187,211,213,213,213,213,214,211,196,190,172,113,88,111,111,132,190,183,143,83,114,203,201,199,197,195,193,191,189,213,214,215,215,215,216,214,194,194,178,127,104,123,178,199,194,163,126,70,145,205,201,200,198,195,194,192,189,215,215,215,216,216,217,215,193,187,175,141,107,128,199,203,177,141,111,73,176,205,202,201,200,197,195,193,190,215,215,215,215,216,217,217,193,175,167,143,113,125,190,186,160,124,92,88,197,205,202,201,200,198,196,196,192,215,215,215,216,216,217,217,200,175,167,145,125,127,186,179,145,107,73,119,207,204,202,201,199,199,191,169,139,216,216,216,217,217,217,218,211,179,167,151,131,119,172,163,126,87,69,171,208,205,203,201,191,165,112,69,60,216,217,218,218,219,219,219,214,188,170,152,129,112,141,132,97,65,97,203,208,205,196,162,111,70,51,42,48
12,207,209,209,209,210,210,210,210,211,212,212,212,212,212,211,211,211,212,212,212,212,211,210,210,208,207,206,206,211,212,212,213,211,211,213,213,214,214,214,215,215,214,215,213,213,213,215,214,213,214,213,212,211,211,209,207,213,213,213,215,215,215,218,215,217,216,217,219,218,216,218,216,215,216,217,217,216,216,214,214,213,211,211,210,215,216,217,218,216,219,219,217,220,219,223,221,218,221,222,219,217,218,217,219,218,217,216,216,214,213,213,212,218,219,220,221,219,220,221,221,220,218,211,220,228,209,213,225,220,222,219,221,220,221,220,219,217,217,217,215,220,221,222,223,222,223,224,220,237,242,198,159,235,218,162,191,231,224,228,222,222,223,223,221,221,220,220,218,223,224,224,224,225,224,228,221,255,255,234,143,182,255,188,142,226,201,201,228,225,224,226,224,223,222,221,221,223,223,225,228,227,226,227,227,255,255,250,176,135,254,222,163,136,185,136,179,238,226,228,225,226,225,224,222,226,228,230,230,229,231,228,234,255,255,255,210,130,203,234,178,102,133,142,104,229,231,228,228,229,226,225,225,228,229,231,231,231,228,236,221,244,228,247,236,179,125,188,151,81,68,116,95,217,235,231,231,230,229,228,227,229,230,233,234,226,245,255,184,153,180,199,199,138,86,113,118,88,179,127,97,229,234,233,233,231,230,231,230,230,232,234,231,255,255,244,170,129,157,130,167,158,126,169,208,207,192,107,111,242,235,237,236,233,232,231,232,231,234,232,244,255,247,236,190,143,95,99,104,159,176,198,250,255,226,133,140,255,235,238,238,236,236,234,233,232,236,231,255,247,218,246,211,153,94,99,102,88,99,147,247,255,255,213,143,199,248,237,238,237,236,236,235,233,232,243,255,238,194,243,215,185,114,91,112,119,127,195,238,242,228,208,186,124,225,244,238,239,238,237,237,235,231,254,255,242,190,172,243,228,142,92,117,142,213,255,237,236,191,175,198,121,199,252,239,241,240,239,239,238,236,247,255,255,227,164,181,214,221,131,118,241,255,240,234,220,185,150,146,112,229,246,241,241,240,239,239,238,235,246,255,255,239,197,182,166,176,162,231,255,255,238,225,200,173,135,98,142,254,243,244,242,241,241,240,239,237,245,255,255,255,219,210,190,146,216,255,255,255,219,201,175,164,121,85,199,254,244,246,243,242,242,241,239,240,241,255,255,255,245,222,204,188,198,255,255,247,204,170,165,157,104,115,248,247,246,245,244,245,243,242,237,239,231,254,255,255,253,231,208,204,195,255,249,219,188,148,171,145,83,172,255,245,246,245,246,245,245,245,235,239,233,226,255,255,240,227,213,209,205,232,230,188,163,159,167,122,89,231,252,247,246,245,246,246,246,245,238,239,240,224,255,246,226,219,217,210,204,212,208,188,159,159,149,91,143,255,245,246,246,246,246,245,243,243,240,239,241,234,255,249,235,236,228,211,197,209,218,191,144,133,115,99,229,252,247,246,247,247,246,245,244,242,240,239,240,233,255,255,245,244,228,221,194,212,221,161,122,118,89,190,255,247,249,248,247,247,246,246,246,245,239,241,242,232,255,255,252,254,231,233,189,205,202,146,119,92,139,255,249,250,249,248,249,249,247,247,247,246,238,239,243,229,255,255,255,255,238,232,185,186,189,149,111,86,222,255,248,249,248,249,250,249,248,247,247,246,235,237,242,231,251,255,253,247,234,224,178,169,187,145,90,119,255,249,250,250,250,250,249,248,247,247,249,248
5,146,151,155,159,161,164,166,168,170,173,174,175,175,179,180,182,183,184,187,187,187,189,190,189,190,191,192,191,147,153,156,159,162,166,167,169,172,174,175,176,180,181,182,182,183,187,188,188,190,191,190,190,190,192,192,191,149,153,158,160,164,167,169,170,172,174,177,177,155,180,183,183,186,188,189,189,182,190,190,192,192,192,192,192,149,154,159,161,165,168,167,173,175,175,177,192,128,166,187,184,188,189,187,198,149,169,195,191,192,193,193,193,151,156,159,162,166,170,184,147,170,178,178,197,130,161,190,185,188,188,191,200,131,162,199,192,194,195,195,194,152,156,160,164,169,165,202,156,142,183,180,205,140,163,191,186,189,189,199,166,121,190,195,196,197,197,196,195,153,157,161,166,169,166,188,183,130,181,185,204,146,161,192,187,189,199,196,126,149,203,194,198,198,197,196,196,154,159,163,167,172,170,181,212,149,168,192,189,130,159,195,188,192,198,164,127,194,198,197,199,199,198,198,198,154,160,164,167,172,173,175,226,172,149,195,177,136,157,197,185,185,163,119,166,203,196,198,199,200,200,199,199,156,162,165,169,173,174,172,214,201,141,188,173,151,153,194,178,175,117,140,203,199,199,200,201,202,202,201,201,156,162,166,170,174,175,174,192,223,185,163,160,153,142,171,174,162,120,191,200,199,200,200,202,202,201,202,202,157,162,167,170,174,175,177,179,218,219,176,136,144,124,137,164,136,148,205,199,202,203,202,202,203,203,203,201,157,163,167,171,174,174,178,179,197,230,203,156,125,121,124,130,121,183,203,202,202,200,202,204,205,205,204,204,157,163,167,171,174,174,178,181,182,225,212,168,127,113,117,114,124,202,196,193,190,188,193,196,193,192,198,196,158,164,169,173,175,176,180,183,179,219,216,167,125,109,109,111,124,162,182,183,175,188,204,198,192,192,182,150,160,165,169,172,176,178,180,183,182,229,213,171,132,105,105,109,128,139,161,164,136,139,159,153,156,176,165,127,160,166,169,173,177,177,182,181,191,239,203,165,131,108,105,111,124,129,121,126,138,174,179,179,179,186,153,143,159,164,170,175,176,177,182,177,210,239,192,161,128,108,106,110,112,116,149,179,203,213,209,192,190,154,144,201,159,165,171,174,177,179,183,180,228,227,186,157,123,107,108,113,99,156,211,214,207,196,177,180,172,128,204,210,160,165,170,174,177,180,181,192,240,221,182,143,122,105,106,117,129,151,158,182,181,176,187,183,136,152,216,204,161,166,171,175,176,180,177,211,239,210,171,143,126,104,108,124,144,156,152,148,172,183,178,149,147,199,210,207,161,166,172,175,176,179,180,230,232,200,164,151,130,102,119,150,164,170,160,155,173,154,144,178,211,212,209,209,161,166,172,175,178,176,195,239,226,195,164,154,131,102,128,165,166,169,164,141,130,152,200,215,209,209,209,208,162,167,172,175,178,174,221,235,217,192,166,150,131,105,137,170,159,167,150,119,163,211,211,208,209,209,209,208,162,167,172,177,173,194,237,222,212,188,151,138,121,106,146,164,153,152,136,186,214,208,209,210,209,210,210,208,162,167,172,176,174,221,227,210,201,175,137,131,113,116,143,147,147,137,192,213,207,209,210,209,209,210,210,209,163,167,173,172,198,224,212,203,200,174,126,122,115,123,126,132,151,191,212,206,209,210,209,210,210,210,210,210,163,168,172,175,226,215,207,196,206,168,114,124,127,115,116,161,205,209,208,209,209,209,209,211,211,210,210,210
1,122,126,131,134,138,141,143,145,147,148,149,151,153,153,152,153,152,153,152,151,150,151,151,148,146,146,144,144,123,128,132,137,140,142,145,147,149,150,152,154,154,154,157,155,156,134,140,154,151,151,151,149,148,147,147,146,124,129,134,139,141,143,147,148,151,154,155,154,156,158,133,145,171,109,90,168,151,152,152,150,149,148,147,147,126,130,136,140,142,145,147,150,153,155,156,155,156,173,96,114,175,105,80,143,150,155,153,153,152,151,148,148,129,133,137,142,144,148,150,153,155,156,158,157,168,172,86,125,168,91,84,103,103,163,153,153,153,153,151,150,130,134,139,143,146,149,152,154,155,157,160,154,132,152,79,137,165,82,111,126,75,161,155,155,155,154,152,152,131,135,141,144,146,150,154,154,157,157,167,152,74,126,90,148,175,96,123,129,68,156,158,157,156,155,153,153,132,138,142,146,149,151,154,156,160,159,174,136,61,122,98,144,161,92,131,131,65,154,162,159,158,157,156,155,133,138,143,147,150,153,155,158,161,160,175,121,52,105,81,123,147,82,145,143,72,154,164,160,160,158,156,155,134,139,143,148,151,154,157,160,161,164,177,112,57,121,80,138,149,81,150,135,73,153,163,161,161,159,159,158,135,141,146,149,152,155,159,162,161,171,172,102,64,141,75,144,146,77,160,132,73,156,164,163,163,161,160,158,137,141,147,150,153,157,160,163,162,176,177,104,48,103,47,127,109,77,170,135,80,160,166,164,162,162,161,159,137,143,148,151,155,158,161,164,162,182,171,107,86,100,89,128,131,105,133,131,78,163,167,166,165,163,163,162,137,144,149,152,155,159,161,164,166,188,166,126,104,153,162,166,169,142,83,104,83,167,166,167,166,164,163,163,138,145,149,152,156,160,162,163,177,187,143,110,78,91,141,135,165,175,119,56,74,173,167,167,167,167,165,164,139,145,150,153,158,160,163,161,186,182,137,96,79,66,88,84,166,191,159,73,69,177,168,167,167,167,165,165,139,146,151,154,158,161,163,163,192,177,127,94,90,88,105,142,154,175,161,99,83,178,168,169,168,168,166,166,140,146,151,154,159,162,164,167,195,169,130,95,100,96,132,182,168,150,120,95,63,159,174,169,169,169,168,168,138,145,150,154,158,162,163,170,197,171,138,110,107,113,165,187,161,138,102,70,57,161,176,171,170,169,168,167,139,145,150,153,156,161,162,169,196,172,134,113,109,121,180,194,156,125,93,57,56,171,172,170,170,169,168,167,140,146,151,154,158,162,164,168,193,173,139,130,110,119,183,191,148,115,86,47,74,179,171,171,170,169,168,167,140,146,151,155,158,162,165,167,189,177,151,149,117,111,187,174,139,100,74,42,140,179,172,172,172,171,168,168,141,146,150,155,158,162,166,166,185,181,157,153,116,118,181,158,132,93,54,67,179,172,173,173,172,170,169,168,140,145,150,154,158,161,165,166,188,185,158,144,105,125,166,135,119,81,38,113,183,171,172,171,169,168,167,167,141,147,152,159,164,166,171,167,190,178,153,129,101,128,142,120,104,68,50,165,183,178,178,178,176,176,174,173,111,114,116,117,120,124,119,142,197,171,154,129,112,133,128,117,94,56,61,128,127,127,128,129,129,130,129,127,82,78,78,79,78,81,71,158,195,172,161,130,129,126,110,102,72,47,64,69,68,68,68,69,65,65,63,61,90,88,89,91,91,88,98,190,174,152,151,140,127,105,95,84,50,56,83,81,80,79,79,79,78,76,77,78
13,158,161,166,173,179,182,186,188,191,194,198,200,202,205,206,208,210,210,210,211,211,212,212,211,212,211,210,210,159,163,169,175,181,185,188,191,192,195,199,202,204,208,209,207,208,211,216,213,213,213,213,214,215,213,213,213,161,165,171,178,182,187,190,193,195,197,202,205,206,207,213,224,225,186,172,215,213,220,215,217,217,215,214,214,163,167,173,180,184,189,192,196,199,201,204,206,210,212,216,249,236,179,121,128,161,177,218,217,217,216,217,216,164,169,174,180,186,190,193,196,200,205,204,209,213,176,173,192,232,177,119,98,165,124,149,228,216,218,217,217,166,170,176,181,187,190,193,199,201,204,204,243,231,189,149,146,215,214,140,110,175,122,121,228,218,219,219,218,168,171,177,183,189,193,196,198,204,207,158,201,253,226,182,105,154,237,151,107,183,125,139,232,220,221,220,220,168,172,178,185,191,195,198,196,235,223,166,112,211,249,200,128,81,178,148,105,214,135,165,234,220,223,223,222,169,174,180,187,192,197,195,227,238,237,205,130,124,250,193,136,62,81,95,99,202,131,207,229,223,224,224,224,169,175,183,189,193,195,213,228,188,234,219,153,83,212,183,124,66,62,100,140,159,113,168,236,223,225,226,225,170,177,186,191,194,198,241,227,176,206,195,141,78,176,184,134,63,90,162,174,150,136,119,219,230,227,227,226,174,180,189,195,195,211,238,206,165,190,169,122,62,150,210,149,80,182,207,179,135,119,118,164,239,225,227,227,175,182,192,198,196,229,232,202,157,162,159,121,52,110,211,127,142,229,200,172,137,119,108,143,242,228,229,230,176,185,195,200,197,236,247,217,181,135,147,111,61,103,205,180,219,215,189,158,132,114,89,184,239,229,233,232,179,188,198,204,201,243,249,221,190,140,120,118,150,205,235,239,229,202,173,145,128,99,107,232,232,232,234,233,184,193,201,208,206,251,255,230,189,170,171,175,195,223,234,229,220,190,162,140,118,83,156,247,230,234,234,234,187,196,203,210,212,252,254,242,200,193,189,170,212,216,235,225,205,180,156,132,110,77,198,244,233,236,235,234,190,199,207,213,216,244,251,250,217,206,194,180,223,224,223,213,187,165,141,124,90,107,243,238,238,238,236,236,193,202,212,217,218,232,252,248,228,211,193,188,213,230,210,192,169,151,136,112,84,208,248,238,239,239,240,240,196,204,214,219,221,224,246,239,234,216,202,193,201,221,205,179,158,139,131,90,185,255,240,242,242,242,240,239,199,207,215,220,226,222,238,242,235,229,221,201,194,213,198,166,141,134,103,149,255,243,245,246,244,241,247,251,200,210,219,223,230,221,230,247,235,232,223,197,188,198,185,151,126,121,112,238,250,246,248,247,245,252,227,168,203,214,222,226,230,225,230,236,205,209,210,193,182,188,169,147,127,98,186,255,247,250,247,249,255,177,86,64,205,215,223,227,231,228,232,239,203,217,220,211,184,180,162,151,121,105,234,252,252,251,255,255,161,77,64,53,206,215,222,226,231,228,227,252,216,229,229,213,183,170,162,153,116,117,248,251,253,255,217,133,72,78,80,44,206,216,224,228,231,233,228,253,235,248,238,215,189,170,161,153,111,126,255,248,255,194,85,62,52,75,86,57,209,219,226,229,233,237,210,251,244,246,233,208,190,174,162,151,109,116,252,255,235,105,80,81,47,51,79,71,210,221,227,231,234,239,133,237,243,237,223,203,193,176,166,140,111,82,248,255,141,86,78,75,57,35,65,75
4,231,233,235,236,238,239,238,238,238,238,240,239,239,242,244,240,239,243,243,240,239,240,239,239,238,238,237,236,235,237,237,238,240,241,240,240,241,241,243,243,241,232,225,238,246,225,218,245,246,240,243,243,240,238,239,239,238,240,239,240,243,244,243,242,245,244,238,241,253,238,199,184,210,218,185,181,235,249,244,245,244,242,242,241,240,240,240,242,245,244,246,247,244,239,223,203,198,249,255,199,129,156,215,155,116,241,249,244,246,245,246,244,242,242,243,245,245,247,248,248,255,255,255,214,148,143,255,198,141,72,146,169,82,201,255,246,247,248,248,248,245,247,247,248,247,242,244,206,184,232,233,242,169,88,197,213,136,75,95,162,93,183,255,249,249,250,249,247,249,249,249,249,248,255,255,201,116,111,167,250,207,100,112,228,191,99,68,195,120,176,255,251,252,252,251,250,250,249,249,250,255,230,219,217,143,79,81,234,253,139,75,231,228,132,68,185,154,190,255,253,254,253,253,253,249,251,252,251,250,238,165,196,203,131,45,181,255,148,81,184,229,147,71,125,132,204,255,255,255,255,255,255,251,253,254,254,255,245,155,145,209,153,86,118,150,126,100,111,157,122,78,100,95,117,255,255,255,255,255,255,254,254,255,254,255,252,227,195,167,127,90,111,112,118,130,131,121,105,95,142,148,104,199,255,255,255,255,255,255,255,255,255,255,255,234,200,160,127,111,124,123,124,152,142,145,104,146,204,193,168,132,255,255,255,255,255,255,255,255,255,255,255,224,187,160,135,138,138,144,169,169,191,212,218,167,201,210,183,107,178,255,255,255,255,255,255,255,255,255,255,215,168,150,128,138,159,173,203,224,236,255,255,240,215,189,143,101,106,255,255,255,255,255,255,255,255,255,255,234,192,160,143,157,168,177,251,239,240,253,245,234,211,176,130,100,90,243,255,255,255,255,255,255,255,255,255,253,207,168,148,152,167,202,255,237,247,247,246,227,204,176,132,95,115,255,255,255,255,255,255,255,255,255,255,255,224,189,154,153,178,203,255,248,255,255,246,227,205,170,128,81,182,255,255,255,255,255,255,255,255,255,255,255,245,203,163,167,194,193,254,255,255,255,255,237,197,152,121,87,247,255,255,255,255,255,255,255,255,255,255,255,255,214,176,181,210,198,248,255,255,255,255,237,184,143,100,129,255,255,255,255,255,255,255,255,255,255,255,255,255,231,180,189,208,212,251,255,255,255,255,219,171,143,80,197,255,255,255,255,255,255,255,255,255,255,255,247,255,242,192,191,205,213,255,255,255,255,237,191,159,128,91,255,255,255,255,255,255,255,255,255,255,255,255,239,255,251,216,194,198,212,250,255,255,245,209,174,148,97,141,255,255,255,255,255,255,255,255,255,255,255,255,241,247,252,233,210,205,214,235,254,241,213,189,154,123,91,239,255,255,255,255,255,255,255,255,255,255,255,255,255,230,240,235,220,212,210,209,219,211,185,156,124,84,174,255,255,255,255,255,255,255,255,255,255,255,255,255,255,232,238,231,219,214,200,190,199,197,169,130,95,97,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,237,220,210,207,191,173,180,182,145,109,80,151,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,240,231,194,184,196,183,178,177,162,126,108,75,201,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,242,206,202,217,205,194,177,156,132,112,78,232,255,255,255,255,255,255,255,255
19,172,173,174,176,178,178,180,181,181,181,181,182,182,181,181,181,181,181,180,180,179,180,179,177,176,176,175,174,173,174,176,177,179,180,180,182,183,184,183,183,184,183,183,182,182,182,181,181,181,181,180,179,178,178,177,177,175,176,178,180,181,181,183,185,185,185,185,185,185,186,185,185,184,183,183,184,182,181,181,181,180,179,177,177,175,177,179,181,182,183,185,185,186,186,186,186,186,186,186,186,186,185,185,184,183,182,182,182,181,181,180,179,176,179,180,181,182,185,185,186,187,188,187,188,188,188,188,186,187,186,186,185,185,184,183,183,182,181,181,179,177,180,181,183,183,185,187,188,189,190,190,190,190,189,188,188,188,188,187,186,186,185,185,184,183,183,182,181,179,181,184,184,185,187,187,189,190,190,191,191,190,189,190,185,193,189,188,188,187,186,185,185,185,184,183,183,180,181,184,186,186,188,189,190,192,192,191,193,197,192,203,174,145,193,188,187,188,188,188,186,186,184,184,184,181,182,185,187,188,190,191,192,192,193,195,173,157,177,207,192,108,159,199,195,192,192,191,189,187,188,187,185,181,184,186,188,190,191,192,192,193,192,183,155,121,124,139,149,134,123,142,152,173,177,181,184,187,182,177,183,182,185,187,190,191,191,193,195,192,182,180,185,180,137,92,114,136,128,127,113,122,137,144,132,151,135,141,180,184,186,188,190,191,192,191,188,175,180,192,194,166,116,90,85,104,115,122,114,117,132,136,133,137,139,135,168,185,186,189,191,193,191,189,181,178,180,184,184,168,131,90,84,83,86,90,86,90,97,105,106,105,109,113,128,185,186,189,191,191,189,189,186,183,175,183,189,190,159,104,82,87,77,95,126,143,145,144,143,151,153,163,178,186,188,190,192,191,189,188,188,185,183,189,192,188,161,107,82,87,75,144,211,201,200,199,200,200,199,197,194,187,188,188,191,189,191,189,190,191,188,186,185,179,166,120,82,83,84,90,192,199,195,194,193,194,193,192,193,185,187,195,195,194,191,192,193,193,186,181,190,187,177,135,85,81,89,70,134,209,195,196,196,195,194,194,194,187,207,210,198,193,194,195,192,186,184,188,194,189,163,127,93,79,91,73,112,209,196,198,198,197,196,195,194,207,213,204,194,190,192,189,186,183,182,177,177,169,143,121,101,86,88,77,163,208,198,198,198,199,197,196,195,212,209,196,191,190,188,185,184,178,176,169,165,159,144,120,104,98,89,67,167,210,200,199,198,198,198,197,196,209,206,198,187,182,184,180,181,179,174,168,161,155,161,125,102,102,90,83,191,205,201,201,200,198,198,198,197,207,203,194,183,173,174,173,173,177,169,162,145,142,156,112,96,107,88,107,213,200,201,201,201,199,199,198,198,203,199,186,172,162,159,162,161,167,157,141,122,122,114,78,95,110,81,143,210,201,201,201,201,200,200,199,198,195,187,171,159,151,137,141,146,150,133,115,112,108,83,91,102,97,151,207,204,203,202,202,202,201,201,199,199,194,169,164,157,136,121,112,120,124,114,103,97,84,81,97,124,172,210,203,204,203,203,203,202,201,201,200,199,166,156,166,153,127,103,98,98,100,90,118,168,158,161,183,203,210,203,204,203,203,203,202,202,201,200,199,198,119,157,162,142,116,86,69,70,111,158,198,213,211,211,209,205,204,204,205,204,204,203,202,201,199,199,198,198,75,111,109,84,66,52,41,40,184,217,204,205,204,205,205,205,205,205,205,204,204,204,203,202,201,200,199,198
3,119,126,133,137,141,145,149,152,155,157,158,160,161,162,162,162,160,162,163,163,163,162,162,161,161,160,158,158,123,130,136,140,145,149,153,157,159,161,163,164,165,166,167,165,147,153,166,167,167,166,166,165,164,163,162,161,127,134,140,144,149,153,157,161,164,166,168,169,170,170,172,165,127,127,166,172,172,171,171,170,169,167,166,165,131,138,144,149,153,158,162,166,168,171,172,173,175,176,176,167,119,105,160,176,176,176,175,174,173,171,170,169,135,142,148,152,157,162,166,170,172,175,176,178,179,180,181,172,120,94,151,179,180,179,179,178,177,175,174,173,138,145,152,156,160,165,170,174,176,178,180,181,183,184,185,179,128,91,142,182,184,183,182,182,180,179,178,177,141,148,154,159,163,168,173,177,180,182,183,185,186,187,187,186,138,91,132,184,188,187,187,185,183,182,181,180,144,151,157,162,166,171,176,180,183,185,187,188,189,191,182,169,127,86,123,184,191,190,190,189,187,186,185,184,147,154,160,165,169,174,179,183,185,188,190,190,191,202,187,146,104,91,121,183,194,193,193,192,191,190,188,187,150,156,163,167,172,177,182,185,188,190,193,185,173,192,201,157,112,123,128,176,197,196,196,196,195,193,191,190,152,158,164,169,175,180,184,188,190,190,197,193,171,170,200,172,143,150,116,152,196,200,199,198,197,196,194,193,155,161,167,172,177,182,186,190,192,181,180,195,188,164,182,170,150,147,101,117,183,201,201,200,199,198,197,196,156,163,169,174,179,183,188,193,198,191,174,169,183,165,163,161,138,144,114,99,151,199,202,202,201,201,200,199,158,164,171,176,181,185,190,194,194,193,181,147,150,160,144,157,137,135,132,106,124,193,204,204,203,202,201,201,160,166,172,177,182,187,192,195,185,162,158,124,111,136,121,148,143,116,129,112,119,190,206,206,205,204,204,203,161,167,173,178,183,189,194,197,189,154,140,115,94,119,112,108,97,85,119,114,116,188,208,208,207,206,205,204,162,167,174,179,185,190,195,199,197,167,131,110,94,109,125,94,67,90,134,121,109,178,210,209,208,207,207,206,162,167,173,179,185,190,195,199,197,168,127,101,84,83,108,104,98,124,148,122,104,171,211,210,209,209,208,208,162,167,173,179,185,190,195,198,200,183,144,108,87,81,102,140,155,158,144,112,107,177,211,210,210,209,209,208,163,169,175,180,186,191,195,199,203,192,157,120,105,107,130,182,195,173,138,103,117,191,211,210,210,206,203,203,163,169,176,181,186,191,196,200,203,196,169,136,120,118,143,191,195,165,130,100,132,201,212,209,206,189,181,196,150,156,162,168,174,180,185,190,194,193,174,146,127,123,141,186,188,154,119,98,142,196,195,192,189,162,163,190,109,112,116,120,125,129,132,137,146,172,174,151,137,132,135,175,177,144,109,97,141,179,172,163,168,139,159,183,97,98,100,102,103,104,105,106,110,144,173,159,145,136,127,155,160,129,101,106,151,163,163,152,146,129,165,178,98,99,100,102,103,104,106,107,107,135,176,164,144,131,114,128,134,109,98,128,160,155,155,150,128,131,171,175,98,99,100,101,103,103,104,105,110,155,191,166,140,122,104,108,108,95,107,143,158,152,150,143,124,144,171,174,97,99,100,101,102,103,103,104,115,171,195,165,138,117,104,101,96,92,128,146,141,146,144,138,136,153,170,174,96,98,100,101,101,102,103,104,119,174,189,163,139,122,108,98,90,95,146,147,123,138,143,139,146,154,173,173
11,151,157,162,167,170,173,176,180,182,185,186,188,190,193,196,195,197,199,199,201,202,203,203,204,204,203,203,202,153,158,164,168,171,176,179,181,184,186,188,190,194,196,197,198,199,201,203,204,205,206,206,205,206,206,205,204,154,159,165,169,171,176,179,182,185,186,189,192,196,196,197,199,201,203,204,205,206,206,208,207,207,207,206,206,155,162,166,171,174,176,178,182,186,188,191,192,195,198,198,196,205,204,205,206,207,207,207,208,208,208,208,209,156,163,168,171,174,178,181,185,188,191,194,195,197,199,204,182,158,209,206,208,209,209,210,210,209,209,210,210,158,164,169,173,176,179,183,187,189,193,194,197,199,198,208,191,115,201,211,210,209,212,212,212,211,211,212,210,159,165,169,174,178,181,183,189,191,194,196,198,200,198,219,182,115,202,212,211,212,212,212,212,212,211,211,210,159,166,172,176,178,181,185,189,193,196,198,199,200,200,229,153,126,216,209,212,213,212,213,213,213,213,213,213,160,167,172,177,179,181,186,189,194,197,199,201,200,210,231,140,148,221,212,214,215,215,215,215,215,214,214,213,162,168,172,178,180,183,186,189,194,197,199,200,199,225,198,120,173,219,213,215,216,216,216,216,216,215,214,215,162,168,172,177,180,184,187,190,195,197,196,197,204,232,148,114,200,216,214,215,215,216,216,216,216,215,215,215,163,169,173,178,182,183,189,191,191,192,213,211,153,170,129,133,220,213,215,215,216,217,217,216,217,216,215,215,162,169,174,176,180,188,179,193,217,169,173,196,138,109,110,174,222,213,216,216,216,217,217,216,217,217,216,215,162,169,173,201,228,217,169,126,207,163,115,166,134,98,103,206,215,214,216,217,217,218,218,218,218,217,218,218,163,164,197,210,194,217,168,113,187,138,130,184,123,82,125,222,213,216,217,217,217,219,220,220,219,218,218,218,162,171,201,182,161,203,162,117,180,116,148,173,111,76,152,227,213,217,217,217,218,220,221,221,220,220,219,217,157,187,210,160,129,182,150,111,158,110,162,148,95,74,171,224,213,216,217,217,219,219,220,220,221,221,220,218,158,212,206,165,135,161,112,117,134,102,153,125,86,69,181,224,214,218,220,221,220,223,224,220,221,220,220,220,173,231,195,167,137,136,101,132,104,110,173,98,73,77,153,221,214,211,202,193,186,182,204,227,220,220,220,219,197,233,187,165,139,120,114,153,71,83,141,81,106,130,132,175,195,202,200,190,178,155,139,178,226,221,220,220,200,221,192,173,151,127,124,140,123,143,155,170,176,172,180,190,197,192,174,152,144,152,143,111,206,225,220,220,192,217,198,182,159,139,151,182,201,195,191,191,187,169,175,176,143,139,158,175,200,215,201,178,213,224,221,221,196,227,199,186,161,145,166,201,192,182,190,183,173,141,129,128,163,205,224,228,227,225,226,229,223,222,222,221,216,227,189,176,152,146,166,189,181,179,183,163,130,104,144,200,226,223,221,221,222,223,222,222,223,224,223,223,229,188,169,159,152,154,163,168,175,171,151,107,109,174,220,222,219,220,221,222,223,225,224,223,223,223,223,224,226,182,166,168,164,160,160,150,156,133,94,136,204,221,214,216,220,221,221,222,223,224,224,223,224,225,223,222,219,199,155,182,182,163,152,130,121,100,163,214,211,209,212,215,217,218,217,219,221,222,222,223,220,221,223,228,218,202,149,191,185,155,133,115,91,156,215,203,206,210,211,213,215,217,217,218,220,220,221,221,234,244,246,246
4,163,167,172,175,178,180,182,184,186,187,186,189,190,192,193,192,191,191,192,191,191,192,190,190,189,189,189,188,164,168,173,176,178,179,181,184,186,188,188,190,191,191,192,195,195,190,195,195,193,191,190,190,190,191,190,190,165,170,174,177,179,180,183,185,186,189,190,192,190,201,199,175,180,207,185,180,196,194,192,193,192,191,190,189,167,172,175,177,181,183,184,187,188,187,196,188,195,232,196,173,158,224,183,148,168,199,196,195,194,193,191,190,169,173,175,179,181,184,186,189,185,211,239,205,176,234,205,169,182,229,187,142,133,195,161,191,197,193,192,192,171,174,177,181,182,185,187,190,185,237,255,233,154,196,224,157,195,236,185,131,191,187,126,135,200,191,192,192,170,175,180,181,185,187,189,187,200,241,242,220,145,180,226,154,196,222,170,181,209,152,124,97,179,198,192,193,172,176,181,182,186,188,191,183,223,225,223,208,131,161,199,201,197,206,230,246,192,122,106,96,178,200,194,195,172,176,180,184,187,189,192,185,236,218,206,209,130,133,186,197,221,233,244,227,199,147,99,93,189,199,196,197,172,177,182,185,187,191,188,204,248,215,183,205,136,111,182,129,164,204,210,195,209,167,110,102,199,199,197,197,173,178,181,185,187,192,186,230,235,189,173,156,110,116,187,108,144,191,162,196,219,181,120,129,206,199,198,198,175,179,182,187,188,190,192,248,221,175,157,151,125,129,148,116,138,186,100,204,239,198,137,129,209,199,200,198,177,180,183,187,190,189,198,255,222,176,149,135,121,132,127,139,145,164,146,202,250,213,158,105,187,205,200,200,177,180,185,187,192,188,211,255,221,176,145,129,124,137,136,178,176,201,229,212,227,207,162,111,148,211,199,202,176,181,185,188,193,188,224,255,222,169,146,143,133,126,140,184,199,231,221,223,192,179,171,126,140,212,201,203,176,182,186,189,194,187,234,255,221,167,166,164,135,132,178,222,235,229,221,206,173,147,159,118,166,212,204,203,176,180,184,187,192,187,240,255,218,187,199,172,154,204,241,252,234,228,213,185,157,134,124,120,199,204,203,202,176,180,184,187,192,189,244,255,233,219,215,175,182,244,248,255,237,212,196,171,149,128,104,163,212,202,203,203,177,181,185,188,194,189,243,255,248,225,213,192,186,248,251,252,229,189,180,161,145,115,122,206,205,205,205,205,177,181,185,189,194,189,235,255,251,228,208,196,198,252,248,233,211,178,162,153,134,104,172,213,206,205,205,205,178,184,186,190,195,188,223,255,240,227,209,198,204,235,229,208,188,166,160,147,111,127,211,208,209,206,206,205,179,183,186,190,194,190,222,253,225,220,217,202,201,215,213,194,170,159,157,133,103,185,213,205,207,207,205,204,177,180,186,189,195,190,217,242,212,218,219,198,191,214,211,190,159,146,146,112,150,215,207,207,205,206,205,203,178,183,189,191,196,194,213,237,213,216,211,193,180,212,212,175,141,136,127,133,210,213,212,212,211,210,210,209,150,152,152,152,155,150,177,249,225,223,206,197,175,202,204,156,132,130,115,134,158,151,151,151,149,149,149,152,112,109,108,109,111,103,133,255,241,230,214,207,177,191,202,155,128,118,113,104,102,101,101,100,99,100,99,94,120,120,119,121,123,120,128,250,249,227,215,211,176,174,208,161,124,112,109,113,114,113,111,110,111,109,106,177,120,121,120,121,122,121,117,236,248,221,205,207,178,162,199,157,120,110,107,113,114,114,111,111,113,100,183,246
0,164,164,166,165,166,168,169,169,169,170,168,169,169,168,168,167,169,172,169,168,169,168,169,169,167,167,168,167,165,166,167,167,167,167,168,169,170,171,170,169,169,171,171,176,156,138,167,174,168,174,171,171,171,169,170,170,167,168,168,169,168,169,169,169,171,172,171,172,164,142,159,191,143,112,107,135,125,136,173,153,143,173,170,173,167,168,169,169,171,171,170,170,171,172,175,195,166,130,111,172,149,139,92,68,115,101,121,142,93,178,170,172,169,169,170,171,172,172,172,171,173,152,173,204,163,147,111,173,162,145,104,81,133,113,88,136,91,172,174,173,169,169,171,172,173,174,169,181,193,134,117,192,174,157,111,169,184,151,107,93,148,113,72,121,85,159,179,173,169,170,171,173,174,174,170,197,191,151,121,166,196,157,109,156,194,155,103,96,153,107,57,110,85,110,187,171,170,170,172,174,175,171,188,182,185,165,135,130,202,155,105,136,199,150,96,74,132,98,48,100,105,58,168,179,171,172,173,175,173,179,189,156,191,175,139,103,191,157,104,103,186,135,84,52,104,87,44,102,115,52,142,186,173,173,175,175,172,189,172,133,177,178,140,91,169,154,100,74,153,123,84,50,85,74,43,118,124,62,140,187,173,174,175,174,175,190,174,144,157,162,127,76,134,141,96,53,125,118,85,48,88,70,68,147,138,69,143,188,171,172,173,172,182,180,158,125,124,149,117,70,107,135,91,36,103,120,73,46,106,69,112,163,137,70,147,188,171,171,173,170,183,196,169,134,94,140,114,60,96,135,92,31,101,130,74,117,147,98,115,163,138,72,159,185,170,173,175,172,182,199,174,141,90,91,119,72,86,146,103,38,95,138,136,162,150,127,95,132,135,72,164,183,172,174,175,172,185,200,181,154,120,78,100,96,83,151,121,110,153,162,159,148,136,117,102,85,98,62,162,185,173,174,175,172,185,202,187,161,137,121,110,115,134,147,161,179,178,171,156,145,126,103,95,78,68,56,160,186,173,174,176,173,184,199,191,170,152,143,132,122,136,158,170,176,178,175,158,141,123,99,84,75,64,59,173,184,171,174,176,174,182,194,193,180,167,156,140,133,131,152,166,174,171,168,154,134,120,97,79,71,55,123,189,181,172,175,177,173,173,193,192,191,178,162,143,136,135,151,169,177,168,160,149,132,114,92,76,55,110,186,180,182,163,164,169,170,163,187,193,197,179,163,148,136,135,154,174,174,165,155,145,128,107,86,61,82,184,184,184,184,89,90,93,99,89,169,193,190,176,165,151,138,131,154,170,162,149,140,132,116,96,80,57,132,175,170,175,174,73,75,75,77,57,136,193,173,168,167,157,142,129,151,164,152,135,119,107,97,85,71,71,85,89,87,84,97,80,80,81,84,67,123,188,161,168,170,158,142,128,145,162,146,123,97,85,79,69,74,80,72,68,85,130,170,79,77,77,81,69,113,187,155,169,169,155,144,131,141,156,139,106,76,70,64,79,81,80,95,140,188,197,183,79,77,77,82,72,109,198,167,170,165,149,142,133,129,139,128,89,68,63,71,78,94,157,194,208,195,184,171,76,77,78,80,70,103,201,178,175,163,147,143,138,121,131,121,79,65,62,70,116,190,212,207,202,194,199,191,80,78,78,81,72,100,190,182,180,161,148,145,139,114,125,117,75,58,56,135,197,201,204,203,187,187,198,203,80,78,79,81,71,101,181,181,177,155,144,144,141,111,118,111,74,42,108,203,183,201,197,188,184,189,195,201
12,152,153,155,157,157,158,158,160,163,163,163,165,167,167,166,166,167,168,169,170,168,169,168,169,168,168,169,170,153,155,156,157,158,159,159,161,163,163,165,157,152,163,169,162,152,156,169,170,170,171,170,170,169,169,170,170,155,155,156,158,159,159,160,162,165,182,182,149,122,125,175,159,135,117,157,170,171,172,172,171,170,169,170,170,155,156,157,158,159,161,163,161,182,206,190,146,127,106,167,155,135,112,117,137,148,165,171,171,171,171,172,171,155,156,157,159,160,161,162,164,195,186,184,158,151,108,150,165,146,113,94,120,110,119,168,173,173,174,174,173,156,157,159,160,161,162,163,170,203,167,170,166,146,107,134,169,150,108,101,128,114,87,150,177,174,174,174,173,158,159,160,161,163,164,164,175,206,161,169,151,122,89,81,135,119,93,115,144,123,94,147,176,174,175,174,173,158,160,162,163,163,167,158,153,176,128,157,153,130,95,65,86,81,71,149,157,122,95,159,176,175,176,175,174,159,160,162,162,170,185,161,134,119,106,133,154,149,144,127,122,106,77,126,130,102,95,170,176,177,177,175,174,160,162,163,163,194,200,171,144,109,105,126,135,133,147,152,152,148,111,76,76,79,111,178,178,177,176,175,174,161,164,162,181,200,198,182,153,119,107,130,122,103,119,129,157,173,146,103,62,69,135,181,178,177,176,175,175,162,164,164,201,184,183,185,161,127,103,102,109,94,99,112,166,179,169,142,87,71,154,181,179,178,176,175,175,161,162,179,198,162,149,173,164,137,111,93,100,93,106,127,165,177,177,164,122,87,166,180,180,178,177,177,176,161,162,192,191,170,148,144,166,142,112,92,98,92,104,119,157,178,174,171,147,105,168,181,180,178,178,178,177,161,163,200,193,174,146,118,151,148,114,95,90,93,107,130,149,162,174,161,156,116,150,183,179,180,179,179,179,161,164,196,173,146,122,101,115,155,129,116,89,103,112,150,172,167,164,152,142,124,120,181,180,181,180,181,181,161,166,203,183,160,138,119,107,138,145,143,106,113,134,174,182,177,162,144,130,120,108,180,182,181,181,181,180,164,168,208,192,166,145,131,113,112,134,129,118,130,168,191,186,178,160,142,122,106,118,182,182,182,182,181,181,165,170,211,195,172,154,139,116,113,133,114,125,155,190,194,185,175,160,144,121,96,132,185,183,183,182,182,182,166,173,215,198,177,162,147,123,117,141,129,150,184,202,194,182,170,157,143,119,91,144,185,183,182,182,182,182,165,177,219,199,178,167,154,137,121,138,144,165,200,205,194,179,165,156,140,115,89,158,184,183,182,182,182,182,163,179,221,201,184,171,158,149,133,136,155,168,206,202,188,176,164,154,134,109,95,170,185,184,183,183,182,182,164,176,217,205,192,175,163,156,144,135,160,168,207,197,181,173,163,151,130,103,104,178,183,183,184,184,183,183,167,171,207,208,198,183,170,163,154,139,158,167,203,193,173,167,160,147,126,98,122,184,183,184,184,183,183,183,167,168,199,211,199,187,175,169,157,142,149,163,196,189,170,164,158,139,121,92,147,185,183,184,185,184,183,183,167,166,192,215,202,191,179,170,157,146,145,153,185,184,166,159,153,138,115,96,168,185,184,184,186,185,184,184,167,166,185,218,205,190,179,166,153,146,146,148,171,175,157,152,149,137,105,112,182,183,185,185,185,184,184,183,166,165,186,221,202,184,175,163,151,143,146,148,162,167,152,147,147,131,96,140,187,184,185,185,184,184,185,183
4,171,174,178,180,183,184,186,187,189,190,189,191,192,194,195,194,193,193,194,193,193,193,192,192,191,191,191,191,172,175,179,181,183,183,185,188,189,190,191,192,193,193,194,196,196,192,196,196,194,193,192,192,192,193,192,192,173,177,179,182,184,184,187,188,189,192,192,193,192,201,199,181,184,205,188,185,197,195,194,195,194,193,192,191,174,178,180,182,185,186,187,190,191,189,197,191,196,226,197,178,167,219,186,159,175,199,197,196,195,195,193,192,175,179,180,183,185,187,189,191,188,208,230,204,181,227,204,176,186,223,190,154,147,196,169,193,198,195,194,194,177,179,182,185,186,188,190,192,188,229,244,226,164,197,219,166,196,228,188,146,193,189,142,149,200,193,193,194,176,180,184,185,188,190,191,190,200,232,233,215,157,185,221,163,197,217,177,185,207,162,140,119,184,199,194,195,178,181,185,186,189,190,193,187,218,220,218,206,146,169,199,201,198,205,224,236,193,138,126,118,183,200,195,196,178,181,185,188,190,191,193,188,228,214,205,207,145,147,189,197,216,226,235,221,200,159,121,115,192,199,197,198,178,182,186,188,190,193,191,203,238,212,187,204,150,130,186,144,172,203,208,196,208,174,129,122,199,199,198,198,179,182,185,188,190,194,189,224,227,191,179,165,129,134,189,128,156,193,170,197,215,185,137,144,205,199,199,198,180,184,186,190,191,192,193,238,217,181,166,161,141,144,159,134,151,189,121,203,231,199,151,144,207,199,200,199,182,184,187,190,192,192,199,247,218,181,160,149,137,147,142,152,157,172,157,202,239,211,167,125,190,204,200,200,182,185,188,190,194,191,208,252,217,181,156,144,140,150,150,183,181,201,223,210,221,205,170,130,159,209,200,202,181,185,188,190,195,191,219,252,217,176,157,155,147,142,153,188,200,224,217,218,193,184,177,141,152,210,201,202,181,186,189,191,195,190,227,250,216,174,173,171,149,147,183,218,228,223,216,205,179,158,167,135,173,209,203,203,181,184,187,190,194,190,231,248,215,190,199,178,164,203,232,241,227,222,211,188,166,148,140,137,200,203,202,202,181,184,188,190,194,191,235,247,226,215,212,180,186,234,238,246,230,210,197,177,160,143,124,171,210,201,203,203,182,185,188,191,195,191,234,249,238,219,210,194,189,238,241,241,223,191,184,169,157,133,138,205,204,204,204,204,182,185,188,191,195,191,228,251,240,222,206,197,198,241,238,226,209,182,170,163,148,124,178,211,205,204,204,204,182,187,189,192,196,191,219,250,232,222,207,198,203,228,223,206,191,173,168,158,130,142,209,206,207,205,205,204,183,187,189,192,196,192,218,242,220,216,214,201,200,212,210,195,176,167,166,147,124,188,210,204,206,206,204,203,182,184,189,191,196,192,214,233,210,214,215,198,193,211,208,192,168,158,158,130,161,212,206,205,204,204,204,202,182,187,191,193,197,195,210,229,210,213,208,195,184,209,210,180,154,150,143,147,208,210,210,210,209,208,208,207,160,162,163,163,165,161,182,239,220,218,205,198,181,202,203,165,146,145,133,148,167,162,162,162,160,160,160,163,130,129,128,128,130,124,148,246,232,224,211,206,182,193,202,165,143,135,132,125,123,122,122,121,120,121,120,116,137,137,136,137,139,137,143,239,238,222,212,209,181,179,206,169,140,130,128,131,132,131,130,129,130,128,126,182,137,138,137,138,138,138,135,229,238,217,204,206,183,170,200,166,137,129,127,131,132,132,130,130,132,121,186,236
10,106,115,129,136,141,146,150,153,157,159,161,164,165,166,168,171,176,175,176,177,178,182,183,184,184,184,187,188,107,117,131,137,142,148,150,153,159,160,162,165,167,168,169,173,155,173,178,179,181,183,183,184,186,187,188,189,109,120,133,138,142,149,151,154,160,162,163,165,168,170,175,189,126,154,185,179,183,185,186,186,188,189,190,189,112,123,135,140,145,149,153,156,160,162,164,166,170,170,182,195,133,133,186,180,184,185,187,188,189,190,192,191,114,124,135,141,146,149,154,158,161,164,166,169,172,171,181,194,146,122,185,181,186,189,188,189,191,192,193,193,113,126,138,142,146,151,156,158,161,164,166,167,173,176,176,195,161,120,180,185,186,190,190,190,193,194,194,195,114,126,139,142,147,154,157,158,162,165,165,180,154,158,180,201,178,122,166,191,186,189,189,190,193,194,194,196,117,129,139,144,150,155,158,161,163,165,167,188,152,106,177,198,184,129,145,195,187,190,190,192,194,195,196,197,120,132,140,144,150,155,159,164,170,168,179,175,148,88,155,196,178,131,132,196,188,191,191,195,195,196,197,197,120,133,142,146,148,162,158,148,143,143,166,190,161,113,125,200,163,130,122,195,190,193,192,195,197,197,198,199,120,133,141,146,147,170,143,104,89,88,91,168,183,131,94,182,141,128,112,192,191,194,195,197,199,199,199,200,123,136,142,148,151,153,130,100,79,96,95,123,186,149,93,156,118,124,106,185,194,195,197,198,199,200,200,201,124,135,141,145,152,157,156,150,139,113,94,105,184,164,104,121,98,118,99,175,199,195,197,198,200,202,202,202,124,136,142,148,153,160,158,188,202,132,72,127,195,171,116,83,93,114,102,161,202,197,199,198,200,201,201,201,126,138,142,149,156,158,156,190,194,138,66,118,213,170,129,80,91,113,102,140,206,197,199,199,201,202,201,202,127,138,143,150,152,171,184,185,203,149,54,126,227,168,136,88,90,109,101,122,206,199,200,200,202,204,203,203,129,140,143,151,147,184,204,180,195,147,59,172,211,169,128,89,79,102,96,105,205,199,201,202,202,204,204,205,130,140,144,151,152,167,202,174,183,142,141,221,184,172,129,91,82,97,85,122,209,197,200,202,203,204,204,205,129,140,144,149,155,158,174,152,164,167,208,216,181,165,136,97,86,93,78,166,206,199,202,203,204,204,204,205,130,140,143,150,155,158,173,148,166,209,224,210,183,155,132,102,88,83,92,196,199,200,202,204,205,205,206,206,133,141,144,148,156,157,186,189,160,198,225,200,177,153,130,103,88,72,124,208,197,201,202,204,205,204,206,206,134,141,144,149,157,154,198,208,159,173,224,199,178,149,131,105,88,70,161,206,198,201,202,205,206,205,205,206,134,140,146,152,158,156,204,213,180,197,217,197,179,150,131,110,85,85,194,198,199,201,203,206,205,206,207,207,133,140,145,151,158,157,213,223,190,202,214,197,181,152,133,112,75,122,208,196,200,203,205,206,206,206,206,208,134,139,145,152,158,156,211,219,198,202,205,203,192,155,132,111,73,162,205,198,201,202,203,205,207,207,207,208,135,139,145,152,157,156,204,210,189,203,200,204,199,160,130,103,86,192,199,199,201,202,204,205,207,207,208,208,135,139,146,152,158,159,192,195,191,202,201,205,196,158,129,90,121,206,197,200,202,204,206,207,207,207,208,209,135,141,147,153,157,161,180,193,202,211,199,199,191,154,124,85,163,204,197,200,202,204,206,207,207,207,208,209
16,189,190,189,190,191,191,192,192,192,193,192,192,192,194,193,194,193,193,193,194,194,192,193,194,194,192,194,193,190,191,192,192,192,193,193,193,194,194,193,193,193,193,193,195,194,194,195,197,197,195,195,196,196,195,195,194,191,192,192,194,194,193,193,194,196,197,195,196,195,195,196,194,196,196,197,198,198,197,197,197,197,198,198,195,192,193,193,193,194,195,195,196,197,196,197,197,198,197,196,199,202,202,199,197,197,197,198,198,198,198,198,197,192,193,194,195,196,196,195,196,197,197,199,199,199,198,195,178,177,175,196,206,198,198,198,199,198,199,198,197,192,193,193,196,197,196,197,196,198,197,195,187,183,201,213,160,137,126,111,162,207,205,197,200,198,200,199,197,192,194,194,195,197,199,199,199,198,199,191,164,176,219,213,181,159,142,103,65,109,183,209,199,199,200,199,199,192,194,195,197,198,199,197,189,179,223,208,175,196,220,202,188,175,143,95,87,60,72,148,210,198,200,200,199,194,195,196,197,200,196,210,185,186,213,204,183,200,221,184,176,165,135,78,93,75,68,57,135,210,200,201,201,196,196,197,198,200,196,227,199,191,203,202,198,191,206,169,169,152,119,74,80,69,74,73,52,137,214,199,203,197,197,198,200,197,198,208,199,184,204,210,203,196,201,173,165,141,101,72,68,63,71,72,69,47,169,212,202,196,196,197,198,201,205,196,206,199,193,213,205,200,214,190,167,132,89,66,56,58,69,69,69,53,99,214,202,195,194,196,194,211,202,195,208,215,195,204,203,201,212,195,162,117,81,54,40,61,73,73,67,58,71,203,204,194,196,197,196,204,205,200,200,212,196,206,212,210,208,194,149,99,72,29,36,61,76,80,83,58,85,210,201,196,197,198,198,198,207,213,203,215,207,170,221,218,205,195,140,86,40,1,37,57,69,88,82,61,97,214,200,197,196,198,198,199,207,215,217,184,200,176,208,217,208,197,132,72,4,0,26,44,65,97,73,60,106,212,201,197,197,197,199,200,199,201,228,149,160,202,197,210,215,191,123,62,4,0,8,34,77,105,69,55,139,215,202,197,197,198,199,199,199,185,199,223,191,183,197,214,218,183,119,56,25,8,0,42,103,105,70,56,162,215,205,198,198,200,201,200,200,190,172,203,199,189,195,218,219,176,112,53,45,47,24,69,134,120,76,52,160,215,204,187,189,191,194,196,200,204,188,189,191,178,168,208,216,171,100,55,57,58,38,97,162,154,101,49,171,215,202,98,104,107,109,114,120,123,126,128,129,98,102,195,217,170,88,61,65,66,55,111,164,172,135,61,153,210,220,83,83,83,81,79,82,80,78,78,80,82,73,191,225,171,85,89,77,71,70,119,162,179,171,94,143,229,247,89,90,91,89,87,90,90,90,90,90,96,73,176,231,165,92,147,98,86,70,102,151,172,184,125,157,232,241,86,87,88,88,88,88,90,89,89,90,93,77,146,227,159,104,185,120,104,90,70,122,165,160,117,99,232,222,87,87,86,89,89,89,90,89,91,92,96,78,134,244,147,125,209,148,124,110,84,69,123,133,91,129,195,199,86,87,85,86,87,89,90,88,91,92,95,78,130,237,104,176,217,169,143,129,100,68,67,79,81,206,148,170,86,86,86,86,88,88,88,88,91,90,91,87,102,129,157,223,212,182,157,141,110,76,65,59,74,230,193,148,85,87,85,88,88,86,87,90,91,90,90,93,85,91,214,225,217,190,165,149,123,82,66,62,77,236,227,195
2,158,158,159,159,159,159,158,158,158,155,154,153,152,152,150,151,151,146,145,145,144,141,141,137,136,134,133,132,160,161,161,160,161,161,160,160,159,158,158,156,155,154,151,152,153,148,149,148,146,143,141,140,139,136,133,131,161,161,162,162,161,161,161,161,160,159,159,159,158,157,153,154,155,153,152,150,148,145,142,141,140,139,135,131,163,163,164,164,163,163,164,162,161,161,161,159,155,150,152,148,148,154,154,153,151,147,144,142,140,139,137,133,166,167,166,165,165,165,165,164,163,164,161,170,163,144,146,141,119,124,129,134,137,142,147,146,141,139,139,137,167,169,168,167,167,166,166,167,167,162,175,203,193,186,186,184,161,128,96,78,77,120,135,140,143,141,140,138,168,169,167,168,168,167,168,168,168,155,159,176,167,157,162,170,165,159,129,82,88,122,87,99,152,141,140,139,169,170,170,170,169,169,171,165,172,187,173,178,183,166,146,130,101,114,138,130,151,103,53,121,151,143,142,140,171,172,173,172,172,172,169,173,204,191,178,176,180,176,164,156,117,122,128,101,108,73,96,156,147,147,145,141,172,173,174,174,173,173,169,200,186,132,113,131,146,133,131,172,128,113,129,62,87,113,148,153,148,146,146,143,174,174,175,175,174,173,195,198,147,149,168,172,172,151,148,159,92,63,86,102,159,159,157,158,155,149,146,147,175,174,176,176,175,178,206,174,172,197,201,169,136,120,99,93,109,149,152,162,161,163,151,125,113,138,152,146,175,175,176,177,175,187,190,189,188,167,136,108,68,52,24,82,179,166,169,161,164,123,66,46,44,58,138,150,176,177,177,176,176,188,194,202,161,107,70,42,33,27,14,29,168,166,162,171,114,40,49,61,66,38,116,156,176,177,178,175,173,197,210,176,123,73,39,25,25,21,23,6,78,182,177,141,45,54,69,75,65,74,143,151,176,177,179,173,169,217,202,139,81,54,35,21,24,24,24,23,15,82,151,83,41,76,75,61,93,142,152,149,177,178,180,172,181,223,175,109,68,57,28,19,26,24,24,28,32,10,19,52,56,71,60,91,157,155,151,150,179,179,181,169,182,201,146,93,68,46,19,24,28,34,36,40,46,41,19,54,63,58,63,145,161,155,153,150,177,178,179,169,178,190,139,90,58,37,21,26,36,45,48,55,58,63,42,56,66,55,99,167,158,157,155,152,175,175,179,162,181,192,138,91,57,42,22,27,41,55,62,67,72,77,61,50,68,54,133,166,158,158,155,151,176,177,182,152,182,184,133,95,67,51,31,28,45,64,77,81,85,83,71,53,59,110,160,159,157,154,149,149,178,178,185,155,181,175,129,96,69,58,45,30,51,72,81,83,88,81,64,62,123,163,161,160,155,155,178,199,177,178,183,155,174,173,133,100,76,67,54,33,51,73,79,80,79,75,54,107,172,161,161,159,181,186,224,226,176,177,183,155,170,166,126,99,84,72,55,37,56,66,70,71,68,56,82,157,165,163,157,211,250,208,193,229,181,183,186,161,167,163,121,100,81,68,57,45,60,59,61,63,56,85,156,172,172,158,197,246,229,245,197,194,144,144,150,134,164,160,122,98,75,66,61,55,59,59,56,60,88,140,151,149,136,191,238,240,225,215,238,179,56,58,54,72,180,154,117,87,72,69,66,59,51,59,63,48,51,51,54,37,131,246,236,240,219,197,224,220,57,62,51,111,180,146,116,82,71,69,65,61,50,59,57,47,47,50,37,99,247,235,236,243,209,184,216,219
13,141,143,149,154,159,162,165,168,171,173,174,176,178,179,179,180,180,180,180,181,181,180,180,179,179,177,176,176,142,144,150,155,160,163,166,169,171,173,175,176,178,180,180,181,181,181,181,182,183,182,181,181,180,179,177,177,143,144,150,156,161,164,167,170,173,175,177,178,179,180,182,181,182,182,183,184,184,184,183,182,182,180,178,179,143,146,152,157,161,165,168,172,174,176,179,178,182,180,179,183,184,184,184,185,185,184,183,183,182,181,181,180,143,146,152,159,163,166,170,172,175,176,179,181,213,192,152,171,185,185,184,186,186,185,185,184,184,182,181,181,144,147,153,159,164,168,170,173,175,177,180,189,239,218,170,143,185,186,166,165,185,186,186,186,186,184,182,182,145,148,153,159,165,169,171,174,175,187,183,178,234,222,182,138,160,168,141,110,170,187,187,187,186,185,184,183,145,148,153,159,165,169,173,173,188,222,184,154,194,198,169,114,138,130,110,96,138,188,187,187,187,186,186,185,146,149,155,160,165,169,185,176,194,227,195,153,171,182,155,111,145,119,92,89,132,190,189,189,188,188,187,186,147,150,157,162,166,178,226,179,151,213,208,166,136,182,190,177,165,136,90,78,135,191,191,189,188,188,187,186,148,151,158,163,164,204,227,191,154,172,211,172,114,123,176,185,175,173,141,86,151,192,192,190,189,189,188,187,148,151,157,162,165,213,216,203,164,132,203,176,129,63,106,138,171,192,185,136,159,192,192,191,192,190,189,188,146,150,155,160,168,215,200,202,167,124,172,187,139,66,69,96,161,209,210,183,133,178,191,191,190,188,188,188,146,149,155,160,183,227,201,195,178,133,119,189,145,79,78,149,188,194,194,178,137,137,192,192,191,189,188,188,147,151,156,159,216,224,194,173,177,141,90,174,168,128,170,202,196,190,171,150,147,115,184,192,192,191,190,189,147,152,157,159,222,226,198,163,160,168,120,153,203,215,209,199,188,180,155,132,133,117,179,193,192,192,191,190,146,151,157,160,227,232,211,194,175,177,192,211,225,224,205,188,182,161,141,119,114,142,191,193,192,192,191,189,144,150,156,161,229,237,220,207,191,181,201,221,225,217,195,173,163,146,131,109,118,182,193,193,191,192,191,189,144,149,155,157,221,237,225,208,193,183,198,219,219,202,179,157,145,141,118,107,166,192,193,191,189,188,188,188,130,131,135,133,197,233,227,213,196,188,200,216,203,176,161,151,146,129,106,108,138,139,139,137,136,135,134,135,103,104,106,103,149,229,226,215,200,193,197,209,192,162,147,149,139,114,101,99,99,97,97,96,95,94,93,93,107,109,109,109,122,222,219,214,201,189,190,207,192,153,134,134,119,104,103,103,102,100,99,98,98,97,96,96,108,109,110,111,111,210,210,215,207,191,186,202,186,141,123,118,106,102,103,101,102,103,101,100,99,99,98,97,111,111,111,111,107,196,209,220,215,196,182,197,183,138,119,109,102,104,104,102,101,101,102,101,100,100,99,97,112,113,113,112,108,182,213,228,222,204,179,189,184,142,116,102,101,105,104,102,101,102,101,100,99,100,98,97,111,112,113,113,112,157,221,230,221,202,178,182,186,143,112,98,101,106,105,103,102,103,101,99,100,100,99,97,111,112,112,111,113,129,218,220,202,188,176,175,179,142,111,96,102,106,104,103,102,105,101,99,100,100,99,158,111,112,113,113,113,116,211,212,187,181,183,169,171,145,112,94,101,105,105,103,103,106,101,99,99,99,134,210
12,160,160,160,160,160,161,161,160,160,158,156,156,156,155,155,155,153,153,153,150,150,147,147,147,147,146,144,143,162,163,162,162,161,162,163,162,161,160,159,159,158,157,157,156,155,154,154,153,153,151,149,149,148,148,147,145,165,165,164,164,165,165,165,165,165,163,162,162,159,160,159,157,159,157,157,155,155,154,153,151,150,149,148,147,167,167,166,167,167,168,167,167,168,166,165,164,163,163,162,164,160,160,160,163,159,154,155,154,153,151,149,149,169,169,168,169,169,169,169,169,169,168,167,168,165,154,126,136,166,161,151,139,148,162,156,155,155,154,152,152,172,171,169,170,172,172,171,171,170,169,169,169,169,155,131,87,140,162,139,112,85,143,165,159,158,156,155,154,175,174,172,173,174,174,173,171,172,172,171,169,178,172,146,114,85,131,156,125,81,91,167,147,158,160,157,156,175,175,174,174,174,175,175,174,174,174,171,175,181,183,159,134,84,83,165,133,99,68,97,112,100,148,162,157,176,176,176,176,176,176,178,177,176,176,178,177,163,174,166,132,105,66,148,139,112,61,57,107,78,90,169,159,178,178,178,177,177,177,178,179,177,166,158,170,160,165,160,127,93,50,134,138,111,60,51,98,75,51,158,164,179,178,178,177,178,178,179,176,175,151,115,126,154,147,155,115,78,56,147,131,103,55,48,91,70,45,156,166,181,180,180,179,182,182,179,171,177,158,139,119,116,107,157,124,88,68,154,120,96,51,61,101,71,61,172,164,182,181,182,181,184,183,180,177,177,172,158,146,97,74,158,156,103,77,154,124,89,55,95,113,62,98,179,165,183,184,184,183,184,182,184,169,148,168,169,152,121,85,153,154,100,81,168,145,91,83,121,102,54,138,175,167,185,185,185,184,185,181,186,171,121,129,168,155,129,78,103,132,78,102,180,140,84,111,145,104,61,161,173,169,187,187,188,187,187,184,190,188,154,83,111,150,107,66,46,62,39,66,145,122,76,139,157,98,105,177,170,171,188,187,189,190,187,187,180,163,134,92,66,132,90,67,52,55,43,64,97,70,75,182,152,84,107,185,171,173,189,188,189,191,188,183,186,174,154,124,73,102,104,85,73,71,71,127,153,131,129,138,111,60,62,183,173,173,190,189,190,190,189,181,191,185,162,120,85,86,113,107,78,78,138,160,163,145,151,127,67,45,67,181,175,174,191,191,190,191,191,179,191,192,168,131,113,94,104,114,96,142,186,178,174,140,137,130,86,45,107,189,174,176,191,190,191,192,192,180,188,192,171,146,121,107,105,128,168,186,193,186,172,138,126,116,78,46,154,185,176,175,193,192,193,193,193,182,183,187,171,150,122,113,111,144,192,189,189,179,158,130,115,100,66,62,183,180,179,176,194,195,195,194,195,183,176,180,172,150,122,121,114,156,194,187,183,168,144,125,106,90,49,104,193,179,180,179,195,196,196,194,198,184,175,180,170,149,126,125,120,170,189,187,176,153,135,121,99,74,53,170,187,181,181,180,196,197,196,195,198,188,174,177,175,158,135,122,120,175,182,182,168,144,126,110,92,50,95,196,182,184,182,181,197,197,196,196,198,194,176,176,175,167,142,120,117,168,174,170,154,134,114,96,78,42,157,192,185,185,184,183,198,198,196,197,198,197,177,176,174,161,136,120,116,152,164,155,139,116,98,82,48,82,195,185,189,186,184,184,198,197,197,198,199,196,178,175,169,154,131,121,118,142,153,144,126,105,83,66,44,162,194,187,188,187,185,185
10,116,119,123,127,130,133,135,137,136,138,139,140,142,141,142,142,142,142,142,143,142,142,144,142,142,142,140,139,118,122,126,130,133,136,138,140,140,142,143,144,145,145,146,144,145,145,145,145,145,144,146,145,145,144,144,143,123,126,130,133,136,139,142,144,145,145,146,147,149,148,147,152,150,148,149,149,148,148,148,149,149,148,147,146,125,129,133,137,140,143,145,147,149,150,151,151,150,153,150,112,153,153,152,152,150,152,153,152,152,152,151,149,128,131,135,138,143,147,149,151,152,153,154,154,153,157,168,89,124,163,153,154,153,155,155,156,156,154,154,152,130,134,139,142,145,149,152,153,154,155,157,158,158,156,172,136,88,158,158,157,157,159,159,158,158,157,155,154,133,137,140,144,148,152,154,155,157,157,158,159,163,160,169,170,102,131,168,159,159,160,161,161,160,160,159,157,135,139,144,147,151,154,156,157,159,160,160,160,155,153,172,193,144,99,167,162,162,163,163,163,162,161,161,160,137,141,145,151,154,156,158,159,160,162,161,169,153,82,136,201,177,92,139,172,166,168,167,167,166,164,162,161,138,143,148,153,155,158,160,162,164,165,164,170,174,107,67,179,192,113,103,177,166,169,168,169,168,168,167,165,141,146,150,152,157,160,162,164,166,167,168,166,192,178,117,118,176,141,81,174,169,170,172,171,170,170,169,168,142,148,152,155,158,161,163,166,168,170,169,183,162,207,171,83,102,163,68,161,174,173,174,173,173,172,170,170,145,148,153,156,159,163,166,167,168,170,181,183,115,125,174,101,52,98,63,139,182,172,175,174,174,175,174,174,145,148,153,157,160,165,168,170,166,187,195,165,112,26,128,141,67,35,40,87,185,175,176,176,175,175,176,175,145,150,154,158,161,166,169,170,167,188,203,121,59,0,63,137,100,43,30,47,165,182,177,178,176,176,176,176,146,151,155,160,163,168,168,173,185,161,196,151,75,0,37,124,127,91,44,37,140,188,177,180,179,177,176,176,147,151,157,161,165,168,168,176,202,182,163,197,160,42,52,154,144,121,55,28,128,192,178,181,183,180,178,177,148,151,156,162,166,169,170,172,176,203,170,146,180,124,111,176,150,125,64,22,122,195,180,183,183,181,181,180,147,151,156,160,164,167,168,175,149,159,162,94,151,156,85,181,152,115,75,25,115,195,181,183,183,181,181,181,148,152,157,160,163,168,168,173,187,152,132,107,84,137,163,194,161,114,65,30,115,195,181,182,182,180,180,180,148,152,156,160,163,167,168,171,197,185,136,119,112,197,211,190,154,103,61,33,124,194,181,182,182,180,181,182,148,153,157,160,163,167,170,169,185,194,158,152,148,207,195,176,142,86,60,38,114,195,181,183,182,182,181,182,150,154,158,161,164,167,169,171,178,194,170,183,156,202,186,154,127,88,78,51,102,196,181,183,183,183,182,182,148,154,160,164,168,172,174,177,180,187,184,193,158,174,180,147,132,102,106,59,115,199,184,185,185,185,183,182,75,81,86,89,95,102,107,108,110,178,196,190,170,144,166,149,147,118,104,55,117,179,171,177,178,181,182,183,59,59,57,54,54,56,58,60,52,123,194,173,159,141,143,155,166,122,86,56,62,72,74,77,82,84,84,88,66,66,66,70,73,72,70,69,69,73,169,154,147,140,138,159,165,118,77,54,71,70,68,69,67,66,65,64,64,64,64,68,68,70,69,66,70,58,140,160,146,144,152,147,153,118,72,54,82,80,76,82,81,81,82,84
4,181,182,184,184,186,186,185,185,185,186,187,186,186,188,189,187,186,188,189,187,186,187,186,186,185,185,185,184,183,184,185,186,187,187,187,187,187,187,189,188,187,182,177,185,191,177,173,190,190,186,188,188,187,185,186,186,185,186,186,187,189,189,189,188,190,189,186,187,195,185,161,151,167,172,152,149,183,192,189,190,189,188,188,188,186,187,187,188,190,190,190,191,189,186,176,163,160,193,196,160,116,132,170,132,107,187,192,189,191,190,191,189,188,188,189,190,190,191,192,192,196,202,199,170,128,124,196,160,123,79,127,141,85,161,200,191,191,192,192,191,190,191,191,192,191,188,189,165,151,182,182,188,141,89,159,170,120,81,93,137,93,150,203,192,192,193,193,191,192,193,193,192,192,196,197,162,107,104,140,193,165,97,105,179,155,96,76,158,110,146,205,194,195,194,194,193,193,192,193,193,196,180,173,172,125,84,85,183,195,122,81,181,179,118,76,152,132,155,204,195,196,195,195,195,193,194,195,194,193,186,138,158,163,117,61,149,196,127,85,151,180,127,78,113,117,164,205,196,197,197,197,196,194,195,196,196,196,190,132,125,167,131,88,109,129,113,97,104,134,111,83,97,94,108,203,197,199,198,197,197,196,196,196,196,198,194,178,158,140,114,91,104,104,108,116,117,110,100,94,124,127,100,160,208,196,198,198,197,196,197,197,197,200,201,183,161,135,114,104,112,112,112,130,124,126,100,126,164,156,141,118,196,202,200,200,199,197,197,198,199,201,203,176,152,136,120,121,121,125,141,141,155,169,173,140,162,167,150,101,147,212,199,201,199,197,199,199,199,201,199,170,141,129,115,121,134,144,163,176,184,198,197,187,171,154,124,97,100,201,202,201,201,198,200,201,200,201,204,183,156,135,125,133,140,146,194,186,187,195,190,183,168,145,116,97,90,189,206,201,202,199,201,202,202,200,207,195,165,140,127,130,140,162,198,185,191,191,190,179,164,146,117,93,106,205,203,202,202,200,201,202,203,201,202,201,176,154,131,131,147,163,199,192,199,201,191,178,164,142,115,85,149,214,202,205,204,201,202,203,202,203,202,205,190,163,137,140,157,156,196,200,205,205,197,185,159,130,110,89,191,212,206,205,204,201,202,203,203,203,201,204,199,170,146,149,168,160,192,203,209,210,210,185,150,124,97,116,213,207,207,205,205,202,203,203,204,205,201,198,204,181,148,154,166,169,193,202,213,214,207,173,143,124,84,159,217,206,208,207,207,203,204,205,204,206,200,191,197,188,156,156,164,169,198,202,211,209,185,155,135,115,91,197,211,208,208,208,207,203,204,206,205,207,201,186,197,194,171,157,160,169,193,202,197,190,167,144,127,95,123,218,207,208,208,207,207,202,204,205,206,207,208,188,191,194,182,167,164,170,184,195,187,170,154,131,112,91,186,216,208,210,209,208,209,201,202,203,204,205,209,198,180,187,184,174,169,167,167,173,168,151,133,112,87,145,219,207,209,211,210,208,208,202,203,203,204,204,208,204,181,185,181,173,170,161,154,160,159,141,116,94,95,205,210,209,209,209,209,208,207,203,204,205,205,205,207,205,184,185,174,167,165,155,143,148,149,126,103,84,130,219,207,210,210,209,209,209,208,203,205,206,206,206,207,206,187,181,157,151,158,150,147,146,137,114,102,81,162,217,208,211,210,209,209,209,208,204,205,207,207,207,207,207,188,188,165,163,172,164,157,146,133,117,104,83,182,214,209,210,210,210,210,210,208
18,133,134,135,135,135,136,137,137,137,137,137,136,135,134,134,133,132,132,132,131,129,128,128,127,125,124,123,122,134,135,136,136,137,139,139,139,138,140,139,137,136,135,134,134,134,134,133,132,131,130,128,128,126,126,124,123,135,136,137,137,138,140,140,140,140,140,140,139,139,140,142,138,136,138,139,138,132,131,132,130,127,125,124,123,136,137,138,139,141,141,141,141,142,141,141,140,142,130,108,130,142,116,91,107,139,134,123,131,132,127,126,125,137,138,140,141,141,142,142,143,143,143,144,145,145,113,71,65,111,105,71,41,106,109,76,69,118,132,127,128,138,138,142,142,142,143,144,144,144,139,111,113,141,118,90,61,68,134,80,60,43,82,77,42,59,138,128,129,139,140,141,144,143,144,145,143,148,139,101,83,88,130,98,72,54,124,87,71,65,61,72,58,29,116,134,127,142,143,143,144,145,145,145,146,149,145,124,109,76,93,116,76,51,82,101,84,78,71,87,72,27,108,137,129,142,143,144,144,146,147,148,148,147,131,138,109,93,57,101,84,59,56,104,94,83,82,80,66,27,113,137,131,143,143,144,144,146,147,148,148,155,109,107,111,82,34,76,91,58,41,89,82,79,78,78,68,25,102,141,132,143,143,145,146,147,148,148,151,147,89,64,112,57,25,59,69,40,29,73,48,62,107,100,74,32,86,144,133,143,144,146,147,149,149,148,154,144,109,79,101,58,29,49,50,31,22,50,31,42,127,107,82,40,68,146,133,145,146,147,147,149,150,148,154,150,130,95,86,75,38,47,59,36,20,49,34,22,103,115,91,53,47,143,135,146,147,148,148,149,150,149,155,150,120,91,68,56,27,48,67,33,19,41,72,109,109,131,103,63,31,130,139,146,147,149,150,150,151,150,155,136,102,82,63,43,29,32,37,26,33,68,123,130,117,112,100,62,25,118,143,148,148,149,150,150,152,152,154,147,125,101,77,55,51,46,44,65,92,124,134,125,120,96,80,52,24,124,142,148,148,149,150,151,153,153,154,152,132,107,79,55,51,58,74,98,121,140,139,120,105,87,62,35,43,144,139,148,149,149,150,153,154,154,155,153,137,114,87,68,61,61,72,115,135,145,135,111,95,79,55,17,83,150,137,150,150,151,152,153,154,155,155,151,141,119,97,78,70,64,82,133,141,140,126,104,86,73,45,21,127,145,139,149,151,152,152,154,154,156,153,147,138,118,98,85,77,71,91,141,135,130,119,100,79,66,31,48,150,142,141,149,152,152,153,154,154,156,154,141,129,119,102,89,88,76,97,135,131,121,104,93,74,57,18,88,154,141,142,150,152,153,154,154,155,156,156,142,130,122,107,96,98,81,103,128,127,116,94,82,66,45,19,129,147,142,142,152,152,153,155,157,157,158,159,150,128,122,114,103,95,78,99,124,118,109,89,69,56,23,55,155,142,144,143,152,153,154,156,157,157,158,159,156,135,128,120,107,93,77,85,114,108,96,77,58,44,13,118,153,145,145,143,152,154,155,156,157,157,158,159,159,147,133,121,111,101,88,83,99,100,85,67,52,20,51,157,146,147,145,144,152,153,155,157,157,159,158,158,158,154,141,125,109,98,90,84,92,94,78,61,41,11,120,155,148,147,146,145,154,154,155,156,157,159,158,158,157,156,145,121,109,105,103,98,89,87,72,56,23,57,158,147,148,148,147,145,155,155,156,157,157,158,159,160,156,154,144,125,121,118,106,97,83,82,65,46,18,111,158,149,149,148,147,146
16,193,193,193,193,194,194,195,195,196,196,195,195,195,196,196,196,196,196,196,197,197,196,196,197,197,196,196,196,193,194,194,195,195,195,195,196,197,197,196,196,196,196,197,197,197,197,198,199,199,198,198,198,198,198,198,197,194,195,195,196,196,196,196,197,198,198,198,198,198,198,198,198,199,199,200,200,200,199,199,199,200,200,199,198,195,195,196,197,197,197,197,198,199,199,199,199,200,199,198,198,198,199,200,200,200,200,200,200,200,200,200,199,195,196,196,197,198,198,198,199,199,200,200,199,199,200,198,185,179,179,187,197,201,201,201,201,201,201,200,200,195,196,197,198,199,199,199,199,200,199,196,190,191,203,203,176,156,146,141,161,188,200,202,202,201,201,201,200,195,196,197,198,200,201,200,199,199,202,195,181,189,210,208,185,165,145,118,107,131,170,195,202,202,202,202,201,196,197,198,199,200,201,200,194,193,210,203,187,197,213,203,189,173,147,112,98,92,109,151,190,201,202,202,202,197,197,199,200,201,201,206,195,194,208,204,193,201,210,192,181,167,139,104,99,90,87,99,143,190,203,203,203,198,198,199,201,201,203,213,202,196,204,205,200,199,202,182,173,157,128,97,92,87,87,86,95,144,195,204,204,199,199,200,201,201,203,207,202,195,203,208,204,201,200,183,169,147,116,91,84,81,85,86,83,96,162,203,206,198,199,199,200,203,204,202,205,201,201,208,206,204,207,191,170,139,106,83,74,77,84,85,82,81,127,195,206,198,198,198,200,206,204,201,207,210,202,206,206,206,208,194,165,128,96,72,65,76,87,88,84,80,110,188,205,198,198,199,200,204,206,204,205,210,203,203,210,211,207,192,156,115,83,56,58,75,88,94,92,83,114,190,205,199,199,200,200,202,207,210,208,209,202,192,211,215,207,191,149,101,60,37,53,71,86,98,94,86,122,194,205,199,199,200,201,202,207,212,211,194,193,190,206,214,209,190,141,88,39,25,44,63,85,101,91,86,130,196,205,199,200,200,201,202,202,205,210,182,180,195,202,211,211,187,135,80,36,22,33,58,91,106,89,88,145,201,206,200,200,201,201,202,200,195,201,205,194,192,200,213,212,182,130,79,48,34,34,66,108,113,90,91,158,205,208,198,199,200,201,201,200,194,189,201,198,192,197,213,212,177,124,79,63,58,53,88,131,128,97,91,160,205,208,179,181,183,185,187,189,189,182,184,183,173,175,203,209,173,117,80,73,71,69,109,153,152,115,95,162,206,209,123,126,128,130,133,136,138,138,139,137,124,133,189,208,170,112,85,82,80,82,121,162,168,139,106,157,206,220,101,101,102,101,101,103,103,102,103,103,100,111,181,210,171,114,104,95,88,91,126,162,177,163,126,159,216,236,101,102,103,101,100,102,102,102,102,102,103,107,171,210,169,125,137,116,100,95,115,152,174,172,142,162,218,235,101,101,102,102,102,102,103,103,103,104,104,106,158,206,167,137,165,138,117,104,101,129,159,158,132,142,207,221,100,101,101,102,102,103,103,103,104,105,105,104,151,207,163,153,187,160,135,119,102,101,126,131,119,148,188,199,100,100,100,101,102,103,103,103,104,105,105,104,143,190,154,178,202,176,152,135,112,91,92,97,114,177,176,176,100,100,100,100,101,102,102,103,104,104,104,104,119,146,170,207,209,186,164,147,121,94,83,82,112,197,195,172,99,100,100,101,101,101,101,103,104,104,104,104,105,126,191,219,214,192,171,153,129,99,84,81,113,206,216,195
7,148,150,152,153,154,155,157,157,158,158,158,158,157,158,157,157,156,156,157,155,154,153,152,152,150,149,148,148,150,152,154,154,156,156,158,158,159,159,160,159,158,159,158,157,158,156,156,157,156,154,153,152,151,151,150,150,151,153,155,156,158,159,160,160,162,162,162,160,160,161,161,159,158,158,158,158,156,156,155,153,152,152,152,151,153,154,156,157,159,160,163,162,163,162,162,163,163,162,161,160,159,160,158,158,158,157,155,154,154,153,152,152,154,156,158,160,160,162,165,165,164,165,164,164,165,163,163,162,162,160,160,159,158,158,157,156,156,154,154,153,155,158,161,162,164,166,165,166,166,166,166,165,164,164,164,164,163,162,161,160,158,159,158,157,156,156,155,153,158,159,162,163,165,168,170,173,171,169,170,171,171,171,170,169,168,168,167,167,165,161,161,159,158,157,156,155,158,160,164,165,166,164,151,145,154,159,152,143,144,145,151,150,148,145,149,139,139,155,158,160,160,159,157,157,160,162,165,166,164,150,121,98,100,112,123,115,106,97,111,128,127,113,125,100,124,161,134,159,162,160,158,157,161,164,162,160,151,141,133,122,95,80,98,104,107,94,98,116,115,110,108,103,113,137,120,159,164,162,159,158,160,156,149,143,145,149,150,129,81,66,81,93,85,63,73,69,75,84,78,76,83,87,127,165,150,160,162,159,151,147,146,147,140,130,141,113,60,71,83,100,98,85,69,80,111,127,118,101,113,114,146,186,118,145,167,160,149,146,143,137,127,122,126,119,81,56,61,79,86,97,92,79,112,131,122,111,110,107,98,114,113,162,165,163,148,140,134,130,129,128,127,130,104,57,33,34,45,66,72,69,82,81,84,77,83,94,108,130,164,169,165,164,142,135,130,127,126,125,126,118,90,57,34,45,113,91,87,95,108,121,131,143,163,172,175,176,170,167,166,166,135,128,122,120,114,113,111,103,81,50,42,32,144,194,176,181,185,185,182,179,176,173,171,171,170,170,168,166,130,125,121,120,119,117,115,111,93,51,38,37,60,187,179,180,178,178,176,174,174,174,173,172,171,171,169,166,130,128,122,122,118,118,122,122,96,53,42,42,40,172,186,180,181,180,178,177,176,176,175,173,172,172,170,169,135,137,133,122,115,105,109,108,84,60,53,47,29,139,192,181,180,179,180,179,178,177,176,175,174,172,170,170,137,136,133,121,113,102,96,89,71,63,63,54,35,63,192,183,183,182,181,179,179,178,177,176,175,174,172,170,130,126,116,102,95,87,80,74,63,59,65,52,28,86,193,183,183,182,181,179,179,178,177,177,176,173,172,171,115,111,94,75,63,60,64,44,41,52,54,75,130,170,186,183,182,181,180,179,179,178,177,177,176,174,172,171,75,86,77,57,77,120,166,136,103,110,144,180,194,186,185,184,184,183,181,180,179,179,178,177,177,176,172,171,7,19,13,90,189,187,187,193,193,192,193,188,184,185,187,185,185,184,183,182,181,180,178,177,177,176,174,173,0,0,0,162,188,181,184,184,184,186,186,187,188,186,185,185,185,184,184,183,181,180,179,178,177,176,173,171,0,0,76,192,179,183,184,186,188,188,187,188,188,186,186,185,185,184,184,183,180,178,179,177,177,178,177,178,6,0,165,187,183,186,187,189,190,189,191,191,190,189,188,188,187,187,187,186,184,182,184,184,177,172,162,149,8,0,154,171,166,169,170,171,171,172,171,170,170,171,169,167,166,166,165,164,163,161,150,113,74,59,41,27
7,134,133,133,134,133,133,133,131,130,126,127,127,125,123,122,123,121,119,118,116,114,113,112,110,109,106,105,103,137,136,135,135,133,134,133,133,132,130,129,129,126,126,126,126,124,121,120,118,117,116,115,112,112,108,107,106,140,139,137,137,136,135,135,135,134,134,132,130,130,130,129,126,126,124,122,122,120,117,117,114,115,111,109,108,141,141,140,141,140,138,138,138,136,135,135,134,133,133,131,129,128,126,125,124,122,120,118,117,116,114,111,109,143,143,142,142,142,140,140,140,138,138,136,135,135,135,134,131,130,127,126,125,124,123,121,120,118,116,114,112,146,146,144,144,143,143,142,141,140,140,138,137,136,136,136,132,133,132,129,127,126,125,124,121,117,117,115,114,147,148,146,145,145,145,144,144,142,142,141,139,138,137,137,136,135,134,132,130,127,126,126,124,122,119,117,115,151,150,148,148,148,147,146,145,142,141,146,147,145,141,140,138,136,136,134,132,131,129,127,125,125,122,119,118,151,152,150,149,150,149,145,155,133,98,126,111,127,139,145,146,144,138,134,134,133,131,128,126,126,125,121,120,151,152,152,151,151,149,149,174,144,154,139,57,38,59,87,102,118,139,144,139,134,132,130,129,129,127,124,121,154,153,154,154,154,149,162,165,159,176,137,77,58,40,36,49,50,62,93,125,134,137,135,132,130,127,126,123,156,154,155,155,155,152,167,158,167,164,137,130,134,82,31,31,39,39,36,37,55,72,96,120,135,128,127,126,158,157,156,157,153,159,170,169,174,158,148,155,141,105,66,35,35,36,27,33,34,36,32,72,137,132,129,127,159,159,158,159,156,165,168,174,169,156,153,150,132,123,107,69,31,34,26,27,38,39,36,30,54,85,127,129,159,157,159,157,160,171,175,167,158,153,144,137,138,140,119,83,41,29,37,32,45,37,29,24,21,34,119,132,162,160,161,157,161,172,178,167,156,148,129,132,144,140,117,76,48,38,22,55,135,120,100,88,84,103,132,131,163,162,162,152,166,174,174,158,151,146,134,134,141,122,96,67,45,43,34,48,148,148,147,146,144,141,133,132,163,162,162,151,174,180,169,145,148,149,138,132,121,89,79,65,42,48,55,41,124,148,140,140,139,137,136,133,165,165,155,153,182,176,163,147,146,139,130,123,92,81,81,61,51,46,44,82,145,146,142,142,139,137,135,134,165,168,145,161,181,168,155,155,143,133,125,105,87,89,74,59,28,19,78,141,150,146,146,144,140,138,137,135,167,162,140,174,173,158,152,151,130,127,114,97,97,87,62,54,54,114,154,152,147,148,147,145,140,137,136,134,170,146,148,176,166,155,153,140,130,120,106,101,91,74,49,107,160,158,153,150,150,149,146,144,141,140,137,134,166,135,164,167,161,154,144,139,124,106,105,93,78,53,75,158,158,154,155,153,153,150,148,146,143,141,140,137,151,146,164,158,159,157,132,119,102,98,94,78,58,67,146,162,156,156,155,154,152,150,150,148,145,142,140,137,141,159,158,156,159,141,110,96,87,80,74,57,77,148,165,159,158,157,157,153,152,152,151,148,145,143,140,138,140,159,163,169,135,112,97,80,68,59,48,64,154,166,160,161,160,157,157,154,153,153,151,148,145,143,141,139,146,148,168,153,107,114,88,63,54,48,57,134,170,161,162,161,160,158,157,156,154,153,150,149,147,145,142,140,145,146,154,135,112,120,86,53,44,57,146,170,166,164,163,161,160,159,158,157,155,153,152,149,148,144,143,141
20,71,75,80,89,108,124,132,137,147,154,158,163,168,175,166,173,179,178,179,178,178,178,178,177,177,176,175,173,72,76,81,91,111,128,136,142,152,159,164,168,173,194,149,145,169,180,184,183,182,183,182,181,180,180,179,178,73,77,82,94,115,131,139,147,158,165,170,175,180,208,157,142,147,152,190,189,188,187,186,186,185,184,184,183,74,78,83,97,119,134,141,151,162,170,175,181,185,214,160,146,169,117,182,195,193,192,191,191,190,189,188,187,75,79,83,99,121,137,144,154,166,174,179,185,190,212,158,134,183,111,158,201,198,198,197,196,194,194,193,191,75,79,84,102,123,139,147,156,169,176,182,188,194,215,175,125,181,127,136,204,203,203,202,200,199,199,197,196,76,80,85,105,126,141,149,159,171,179,185,191,196,219,179,121,182,149,124,202,208,208,206,205,205,204,202,201,77,80,86,107,127,143,151,162,174,183,189,195,199,222,172,117,177,156,116,198,213,211,210,209,209,208,207,205,77,80,87,108,129,145,152,164,176,185,192,198,203,229,181,119,178,176,119,192,216,215,215,214,213,212,211,209,78,80,88,110,131,147,154,166,179,187,194,198,202,222,174,114,170,186,126,183,220,218,217,217,216,216,215,212,78,81,90,112,133,148,156,169,182,190,198,199,181,202,144,100,161,183,123,172,224,222,220,220,220,219,217,216,78,81,91,113,135,150,158,172,184,192,206,226,206,194,164,104,144,171,116,158,226,224,223,223,222,222,221,213,78,80,92,116,138,152,160,173,185,190,207,237,226,173,163,142,123,122,100,145,225,225,226,226,218,198,160,110,78,80,93,118,140,154,161,175,195,189,184,189,214,175,121,135,145,113,82,119,223,220,191,151,115,83,59,54,77,80,95,120,141,155,163,177,215,227,195,144,167,202,135,92,130,142,104,92,153,113,74,57,52,56,59,56,74,77,94,120,142,155,164,178,208,208,210,162,126,192,191,104,107,152,148,102,65,49,46,47,48,45,57,55,73,76,94,120,143,155,164,180,196,151,151,170,155,165,191,123,103,142,163,135,80,46,44,39,51,44,46,54,72,75,94,121,144,156,166,182,207,174,128,119,157,151,119,104,98,112,154,151,111,65,48,37,41,48,41,46,71,74,94,122,145,156,166,182,210,183,125,107,116,124,120,136,142,137,156,148,125,82,39,49,36,40,40,42,99,101,107,119,133,141,150,160,195,179,140,128,131,144,160,183,206,205,176,129,116,79,22,44,46,36,39,36,106,106,107,106,110,112,115,114,160,206,176,141,139,164,186,217,232,214,173,123,100,69,15,29,50,43,39,33,108,110,111,113,113,114,116,115,141,212,192,158,143,175,188,225,232,208,167,123,96,68,19,17,42,45,43,36,110,111,112,114,114,116,118,117,128,206,208,181,147,179,187,218,222,193,158,123,96,68,30,11,31,45,44,40,110,110,111,112,112,114,117,118,120,188,213,194,154,180,181,198,212,191,154,121,95,61,40,13,18,41,43,40,109,109,111,111,112,113,115,117,117,155,207,198,166,182,167,175,196,195,154,117,93,50,44,22,9,33,42,36,109,109,110,110,112,113,114,116,117,125,184,205,181,182,161,152,180,184,144,107,84,38,43,34,10,18,40,32,108,109,110,111,112,113,114,115,116,116,144,199,190,178,158,135,153,161,132,105,65,14,37,43,22,9,30,37,108,108,110,110,111,112,113,113,115,117,121,184,196,174,152,134,131,144,129,106,40,1,25,45,32,12,17,35
20,156,158,159,158,159,161,161,162,162,162,162,162,161,162,161,160,158,158,157,156,155,154,151,150,148,147,145,143,160,162,163,162,163,164,165,165,165,165,165,165,165,165,164,170,160,122,162,161,158,157,155,153,152,150,147,146,165,166,166,167,168,168,168,168,169,169,169,169,169,169,168,176,168,101,134,153,163,160,159,157,156,153,152,150,168,170,171,171,171,171,172,173,173,174,173,172,172,172,172,176,169,94,80,102,157,165,163,161,159,157,155,153,172,173,173,174,174,176,176,177,177,178,176,176,177,177,175,183,166,84,107,111,130,171,167,165,163,161,159,157,177,177,178,178,178,180,180,180,180,180,179,180,181,181,178,187,161,82,133,130,105,174,169,168,166,164,162,160,179,181,181,182,182,182,184,183,184,183,184,184,184,184,181,195,166,91,139,138,98,175,173,171,170,169,166,163,183,184,184,185,185,185,186,185,186,186,186,187,187,186,184,202,154,85,148,160,101,171,178,174,173,172,170,166,186,186,186,186,188,188,189,189,188,189,189,189,189,189,190,208,139,86,165,159,95,166,182,178,176,174,173,171,189,189,190,190,191,192,193,193,192,192,191,193,192,179,176,205,146,102,181,157,89,162,183,181,180,178,175,173,192,193,194,194,194,194,195,196,195,194,194,195,195,187,167,161,146,98,162,162,100,162,185,183,182,180,179,175,194,195,195,196,196,196,197,198,198,197,197,197,196,201,204,172,130,105,146,166,112,155,189,186,185,182,181,178,196,197,198,198,199,200,201,200,200,200,200,200,197,163,170,171,165,128,109,138,104,148,194,188,186,183,181,179,198,200,200,200,201,201,201,201,202,202,202,202,203,171,94,156,181,122,75,90,86,136,197,190,188,185,183,181,200,201,200,202,202,202,202,202,203,203,203,204,206,173,68,126,176,142,92,72,68,121,200,193,189,187,185,184,201,202,202,203,204,204,203,204,205,204,204,205,199,172,113,101,139,159,120,104,71,102,201,195,192,190,188,187,203,204,205,206,206,206,206,207,206,206,207,198,196,175,142,97,78,133,141,117,77,79,199,197,195,193,190,189,206,206,207,207,208,208,207,208,207,208,203,198,178,175,168,133,91,103,131,130,91,68,189,200,195,194,193,191,207,208,209,209,209,209,209,209,210,209,199,185,140,121,157,149,98,85,113,156,124,70,150,205,198,195,194,192,209,209,209,210,211,210,211,211,212,211,198,190,153,87,92,140,85,66,100,160,154,93,88,201,201,198,196,194,210,211,212,212,213,212,212,213,213,213,199,183,157,120,74,104,88,72,138,185,170,111,67,189,203,200,198,195,212,213,214,214,214,214,214,215,214,215,197,192,184,128,86,102,119,116,192,189,158,95,77,199,203,200,199,195,213,214,215,215,215,215,215,216,216,218,197,192,189,137,106,107,178,203,204,166,140,74,108,210,202,201,200,198,213,214,215,215,215,215,216,216,217,219,198,185,179,149,111,106,190,205,185,147,120,68,147,211,203,201,201,199,213,214,214,215,215,215,215,215,217,219,200,175,170,150,116,107,179,188,167,131,99,65,181,208,202,202,201,199,214,214,215,216,216,216,216,217,218,219,210,178,169,151,129,115,176,186,155,113,76,85,207,206,202,201,203,198,214,214,216,216,217,217,217,218,219,219,220,186,169,155,136,109,159,170,134,92,56,150,213,208,207,195,161,112,215,215,217,217,218,219,218,218,220,220,218,193,175,155,134,111,128,135,96,65,72,205,206,171,140,96,56,46
14,171,173,174,176,177,176,177,177,178,177,176,176,175,173,172,172,171,170,169,168,166,164,162,161,160,159,158,157,173,174,175,176,178,178,179,179,179,178,178,178,177,176,174,173,171,171,171,170,168,165,165,163,162,160,158,157,175,176,177,178,179,180,180,180,180,181,180,179,177,169,170,175,174,172,173,172,169,167,165,164,164,163,160,159,176,178,179,179,180,181,182,182,182,181,171,156,148,126,114,132,154,172,173,173,171,170,168,166,165,164,162,160,177,179,180,182,183,182,183,184,183,169,143,121,98,77,67,85,97,124,148,166,174,172,170,168,166,166,163,161,179,180,181,183,184,184,185,184,178,156,116,80,65,63,61,72,87,100,107,109,173,173,171,170,168,167,165,163,180,181,183,185,186,186,183,174,159,128,75,50,51,53,51,55,61,78,78,81,166,174,173,172,170,168,166,164,181,182,184,186,187,187,180,161,136,91,59,47,45,49,49,51,50,62,66,68,106,170,174,173,171,169,167,165,181,182,185,187,188,188,177,157,111,61,58,52,51,50,49,51,56,57,71,76,75,165,175,174,171,170,168,166,182,185,186,188,189,189,182,160,118,59,54,49,53,55,54,125,127,135,92,69,68,138,176,175,173,172,171,169,184,186,187,189,189,190,182,159,119,60,51,46,52,56,94,183,185,186,169,109,83,87,124,160,173,172,172,170,184,187,188,189,190,190,183,162,114,64,61,53,48,76,171,188,188,188,185,172,111,99,97,128,174,173,172,171,186,187,188,189,192,191,184,166,123,82,66,58,57,145,190,191,190,189,186,141,109,102,89,141,176,175,173,172,187,188,189,190,192,190,184,170,133,93,69,58,59,171,192,192,191,190,170,111,104,97,85,168,178,175,174,173,188,190,192,193,193,187,183,174,138,101,73,57,68,185,193,192,192,186,124,96,96,86,109,179,179,178,175,174,189,190,192,194,194,186,182,171,140,105,72,57,61,148,182,192,192,152,105,87,87,69,144,181,180,178,176,175,188,191,193,194,194,186,183,171,139,104,76,61,60,72,93,139,155,105,101,93,77,100,178,183,181,180,177,176,189,191,193,194,195,185,186,175,138,108,80,62,63,70,78,83,85,85,92,85,92,173,184,183,181,179,178,176,191,193,194,195,194,182,189,173,136,106,83,61,62,70,78,83,82,79,89,82,164,186,185,183,181,179,178,176,191,193,194,195,193,181,188,169,132,107,87,62,62,71,78,83,86,76,72,136,188,188,186,185,182,180,178,177,191,194,195,197,192,183,184,163,130,112,88,63,63,75,83,85,82,72,93,182,190,189,187,185,183,181,180,178,192,194,195,197,189,184,177,155,129,110,87,63,64,78,85,85,77,72,173,191,191,189,188,186,185,182,181,180,192,193,195,197,188,181,168,149,123,105,86,64,64,79,82,76,65,116,193,193,192,189,188,186,186,183,181,179,192,194,196,197,186,177,166,147,119,101,83,63,65,75,76,68,73,179,194,193,192,190,187,187,186,184,182,179,193,195,196,196,188,172,160,141,117,94,78,63,64,69,69,62,150,196,195,194,192,191,189,187,186,184,183,180,193,195,196,195,188,169,160,138,114,89,73,60,60,59,63,140,196,197,196,195,193,191,189,188,187,185,183,181,192,195,196,194,186,167,155,137,112,87,67,54,57,84,158,196,199,198,197,195,194,191,190,188,187,185,184,182,190,194,193,193,178,159,151,136,111,80,61,51,108,188,198,196,196,196,195,194,192,190,189,187,186,184,182,180
1,160,161,163,164,164,165,166,165,166,166,167,167,168,168,168,168,168,168,167,168,168,168,167,167,166,167,166,166,162,165,167,166,167,168,168,168,169,170,170,170,170,171,170,171,170,171,172,169,169,169,170,170,169,168,167,167,166,168,168,169,170,171,171,172,172,173,173,174,174,172,175,173,175,166,166,175,172,173,172,171,170,169,169,169,169,172,171,173,173,174,174,175,176,177,177,176,177,177,150,168,189,162,124,181,175,175,175,174,173,173,172,172,172,175,175,177,177,176,177,178,177,179,181,178,186,187,120,163,193,151,119,180,173,180,177,176,175,175,174,173,174,177,178,180,180,180,180,182,181,181,179,172,195,177,120,173,190,134,135,179,131,167,184,179,178,178,177,177,177,178,179,180,183,183,183,184,183,187,174,139,179,161,123,186,186,123,150,187,120,152,190,180,180,180,179,179,179,181,181,184,186,185,186,186,184,195,172,126,163,158,130,194,188,130,166,189,120,153,193,183,184,182,181,181,182,183,185,187,188,188,187,189,187,197,156,127,161,151,138,188,176,128,180,185,115,157,193,186,186,185,185,184,184,185,187,188,190,191,190,190,189,201,153,135,151,139,125,182,158,125,192,186,120,167,194,190,189,188,187,186,186,187,190,190,191,191,192,193,191,201,145,130,151,146,118,195,154,137,199,174,122,177,195,191,191,190,190,189,188,190,191,192,192,192,193,194,195,204,154,121,151,147,120,198,150,149,199,165,120,187,196,193,192,191,190,190,189,192,193,194,195,195,196,194,197,205,158,109,137,123,111,177,128,170,203,165,127,197,197,195,194,193,192,191,191,192,195,196,196,197,197,196,201,205,161,129,161,173,158,178,161,151,189,156,137,205,196,197,196,196,195,193,193,195,195,196,197,198,198,197,206,203,168,146,131,175,196,190,190,142,143,143,148,208,198,199,198,197,196,195,194,196,196,197,199,200,200,200,212,192,157,135,113,119,145,164,201,184,126,100,166,209,199,201,199,198,198,197,196,197,199,200,200,202,202,202,217,195,157,126,119,122,126,158,212,209,158,95,182,208,201,202,201,202,200,199,197,198,200,202,202,203,201,206,217,190,152,130,130,135,168,187,185,202,173,115,189,208,202,202,202,202,201,202,198,199,200,203,203,205,201,209,215,188,156,130,140,143,192,205,187,170,155,114,161,214,203,205,204,203,202,202,198,199,202,203,204,206,203,211,215,190,160,142,142,164,211,203,180,160,129,102,166,216,205,205,205,206,203,202,200,201,203,204,204,206,205,211,214,190,160,151,140,178,218,205,170,148,120,99,190,214,207,207,207,206,205,203,201,203,203,205,205,206,206,209,211,190,169,159,141,176,218,197,161,137,109,117,208,209,208,208,207,207,207,205,202,204,204,205,206,207,207,208,207,191,173,168,138,179,211,181,151,127,100,165,217,209,209,209,210,210,208,208,202,205,207,206,207,208,209,210,210,194,175,167,138,186,198,173,146,114,111,204,213,211,210,210,210,210,208,208,202,205,208,207,208,209,208,209,214,195,180,158,139,181,172,159,136,101,144,221,211,213,212,212,212,211,209,208,203,204,206,209,208,210,204,209,214,209,187,155,149,172,157,149,127,101,187,219,212,214,214,213,213,212,210,209,203,203,205,207,208,207,203,212,211,208,188,161,160,163,152,142,108,140,217,214,214,214,214,213,213,213,211,210,204,205,206,206,207,203,205,204,192,194,181,159,157,146,142,117,113,200,217,214,214,214,214,213,213,212,211,210
3,179,180,183,184,185,186,188,188,187,188,187,187,187,187,188,185,185,183,181,181,179,177,175,172,170,169,167,165,180,182,183,186,186,187,189,188,189,189,188,187,187,187,186,188,186,184,182,181,179,178,176,174,171,169,169,166,180,182,184,186,187,187,188,189,189,188,189,188,187,191,168,149,189,184,184,182,181,178,176,175,173,171,169,168,181,183,184,187,187,188,189,190,189,190,189,189,189,194,166,113,181,186,183,183,182,180,177,174,172,171,170,168,182,183,186,188,189,190,190,190,190,191,190,189,189,193,166,107,169,191,184,183,181,181,178,175,174,172,171,170,183,184,187,189,190,191,192,192,192,193,193,191,189,193,161,101,166,193,185,185,183,182,179,177,175,174,172,171,184,187,189,190,192,194,194,194,195,195,195,194,192,197,177,110,159,195,186,186,184,183,181,179,178,175,174,173,187,189,190,193,194,195,196,196,196,196,196,196,194,192,166,107,148,199,187,187,186,184,182,181,180,177,175,175,187,190,192,194,195,196,198,198,197,198,198,196,199,181,144,106,139,197,190,188,187,186,185,182,180,179,177,175,189,191,194,196,197,199,200,200,200,200,200,198,204,210,185,133,161,154,181,193,188,187,186,184,182,180,178,177,189,192,195,197,199,200,201,202,202,202,203,198,160,157,187,148,178,124,141,202,188,188,187,186,183,182,180,178,191,194,197,199,200,200,202,203,204,202,197,200,162,122,143,151,158,146,97,154,197,189,189,187,185,183,181,179,192,195,198,199,200,201,202,203,204,204,155,146,188,153,118,154,158,155,121,101,172,196,189,188,186,184,182,180,193,196,199,201,201,202,204,205,207,200,169,136,157,176,124,142,146,144,140,99,157,201,190,189,187,186,183,181,194,197,200,201,202,203,205,206,207,171,181,162,132,167,135,92,87,151,148,96,171,200,192,190,189,186,184,182,195,198,200,202,203,205,204,210,193,143,141,163,110,133,127,83,78,149,153,101,181,199,193,190,189,188,185,183,195,197,201,202,204,206,205,211,192,151,108,142,91,111,142,107,107,158,152,102,184,200,194,192,190,189,186,184,196,198,201,203,205,206,208,206,176,143,111,120,110,101,145,109,146,162,138,100,191,200,195,193,192,190,187,185,196,199,202,204,206,207,208,205,188,164,124,107,109,120,164,157,166,148,105,120,206,197,197,195,193,191,188,185,197,200,202,205,206,207,210,207,195,174,137,125,116,168,203,186,155,136,90,163,209,197,198,197,194,192,188,186,198,201,202,206,207,208,210,207,192,176,148,130,125,185,188,169,151,128,100,196,203,199,198,197,194,193,189,187,197,201,203,206,207,208,210,208,184,170,152,139,136,184,182,164,148,108,126,213,201,201,199,197,196,193,190,188,196,200,203,206,208,209,211,212,188,172,162,153,140,175,176,155,131,92,173,212,202,202,201,199,197,194,191,189,197,200,204,207,207,210,212,215,201,177,172,156,137,155,157,136,100,114,214,206,204,202,202,200,197,195,192,190,197,201,205,207,208,210,211,214,209,188,173,157,141,139,142,124,85,175,215,205,206,203,201,200,197,195,193,191,198,201,205,207,209,211,211,213,211,196,169,160,155,144,138,105,111,214,207,207,206,204,201,200,198,196,194,191,197,200,204,207,208,212,213,214,202,195,179,175,162,146,129,91,142,219,206,208,208,207,203,200,199,197,195,193,196,200,204,206,209,212,213,212,193,199,188,175,158,137,117,85,167,218,206,207,206,205,202,200,198,196,194,192
7,184,186,189,191,193,193,195,196,196,197,196,196,196,196,195,195,195,192,193,192,189,189,189,187,185,185,184,182,186,188,190,193,195,197,198,197,197,197,196,197,196,195,196,196,195,193,194,193,192,191,189,188,187,186,185,183,186,188,192,195,196,198,199,199,200,201,199,199,198,198,197,198,197,196,195,193,193,193,192,189,189,188,187,185,189,190,193,195,197,199,200,201,201,201,201,201,201,200,200,199,197,197,197,196,196,194,193,191,191,189,188,187,190,193,195,197,199,199,200,201,201,201,201,201,201,200,201,201,200,200,198,196,196,196,195,193,192,190,190,189,191,195,197,198,199,200,201,202,202,202,202,203,202,202,201,201,202,201,200,200,198,196,193,194,193,193,192,188,193,195,197,201,201,201,203,204,204,204,204,204,204,204,204,203,201,198,194,188,169,180,195,180,196,194,193,191,195,196,197,201,202,204,205,207,207,208,206,201,196,188,181,178,179,169,162,160,141,180,199,152,191,193,195,193,195,197,200,201,203,206,203,194,185,187,184,176,161,147,139,154,172,166,153,144,135,140,156,136,187,193,177,195,196,199,200,203,205,197,185,164,157,154,152,159,155,148,132,128,133,121,126,132,129,128,141,152,203,201,133,192,198,201,201,202,200,190,174,161,159,150,140,143,151,147,125,120,114,142,162,177,157,153,148,151,155,153,140,197,197,200,198,191,181,176,175,172,157,120,115,137,159,155,141,136,125,143,157,161,144,131,117,111,120,153,191,200,196,192,186,181,178,176,169,170,154,107,108,120,129,126,122,126,115,112,125,113,108,111,141,174,194,203,200,200,190,186,183,182,181,169,160,160,158,134,98,82,71,72,78,89,91,99,120,147,175,196,208,206,204,202,201,200,187,184,181,176,169,163,161,161,165,154,112,75,54,81,134,146,164,184,207,213,211,208,206,205,203,202,202,201,185,179,172,166,161,157,155,154,152,134,109,81,70,85,189,223,217,215,212,209,209,208,207,206,205,204,203,201,181,172,164,156,151,146,142,138,135,125,98,73,74,75,76,191,219,213,212,210,210,208,209,207,207,205,205,203,167,170,158,153,142,140,137,132,131,127,99,68,70,87,69,109,222,214,214,212,212,210,209,208,207,206,206,205,75,136,157,154,145,140,137,138,140,137,102,66,62,81,79,104,221,217,215,214,213,212,211,209,207,207,207,205,41,52,126,158,152,144,135,128,126,115,93,74,68,56,56,133,224,218,217,215,214,214,213,210,209,208,207,206,40,35,49,132,156,147,136,123,111,98,86,82,77,61,55,81,213,220,217,215,215,214,212,211,210,209,208,207,37,36,29,61,134,132,121,110,103,89,82,81,79,68,61,89,215,220,218,217,216,215,214,212,211,210,208,207,34,31,31,30,75,104,96,86,79,56,58,74,73,87,151,189,222,218,217,217,216,215,215,214,213,211,209,208,28,27,29,30,19,36,81,126,52,43,53,67,86,188,231,224,222,220,219,217,218,216,215,214,213,212,209,209,19,22,28,33,8,39,183,192,52,53,67,116,196,228,224,223,221,222,221,217,219,217,215,215,214,213,211,209,22,19,33,27,52,192,229,222,161,155,189,223,227,224,223,223,221,221,221,218,216,217,216,215,215,214,213,209,48,32,26,56,202,225,221,223,227,228,227,223,222,222,222,222,222,221,221,217,217,216,216,215,214,213,211,208,34,27,17,127,228,220,222,222,223,224,223,223,222,222,222,222,222,222,221,218,217,216,215,215,213,213,211,208
2,175,178,180,182,182,183,184,185,185,184,184,185,183,183,183,183,182,181,181,179,177,175,173,172,171,169,168,166,177,179,181,182,183,185,186,187,186,187,187,185,185,185,185,183,181,176,169,173,178,177,176,174,172,170,169,167,179,180,182,183,184,185,186,188,187,188,187,175,154,154,159,157,146,137,124,107,137,170,176,175,174,172,170,169,180,182,184,186,186,187,188,188,188,189,186,167,147,145,149,149,140,127,116,94,84,112,137,157,176,174,173,171,180,184,185,186,188,188,190,190,191,191,177,158,157,155,155,151,141,117,99,99,102,103,109,116,175,174,173,171,181,184,185,187,189,190,190,190,191,186,160,152,162,162,153,145,138,115,106,110,122,119,100,108,175,175,173,172,182,184,186,188,189,189,190,191,192,184,167,159,152,139,130,148,148,99,86,101,110,105,99,149,178,177,174,173,184,185,188,189,190,191,192,192,192,184,163,160,153,138,127,124,112,118,160,145,126,134,171,181,179,178,176,174,184,187,187,189,191,192,193,194,191,182,178,164,143,121,104,103,122,175,189,188,186,183,183,182,180,178,177,175,185,187,187,190,193,194,193,192,175,173,166,146,112,72,122,181,190,192,190,188,188,186,185,167,135,123,155,176,185,187,189,190,192,193,194,188,168,163,143,114,71,48,122,194,195,194,192,190,188,187,166,114,86,82,105,176,185,188,190,192,193,194,193,183,159,146,114,73,53,57,118,195,194,194,192,190,189,170,122,91,81,80,101,177,186,189,190,192,194,194,190,183,164,136,83,51,55,61,127,196,194,194,192,191,175,124,95,91,81,75,141,178,187,189,191,192,194,194,189,183,164,134,83,52,57,61,112,196,195,195,194,187,130,85,78,81,77,100,176,179,187,189,192,193,195,194,191,183,161,128,78,56,59,57,63,153,190,195,187,145,98,68,67,73,78,161,181,179,188,190,192,195,195,195,188,181,160,120,75,67,61,58,59,68,105,154,123,93,83,80,70,77,149,183,182,181,188,190,193,195,196,195,188,182,158,119,86,74,61,60,63,67,71,78,72,70,78,79,81,156,185,186,183,181,188,190,193,195,197,195,186,179,159,127,92,74,60,60,61,68,73,76,72,73,79,78,154,187,188,186,184,181,187,190,193,195,196,194,181,173,158,126,97,77,60,59,61,67,73,79,78,69,70,130,189,189,187,186,184,181,187,190,193,195,196,193,179,170,154,126,103,78,58,59,64,68,74,80,82,72,88,180,192,189,187,186,184,182,188,190,194,195,196,193,179,170,151,128,103,77,59,59,64,70,75,80,79,71,159,192,192,190,188,186,185,184,188,191,194,195,196,191,176,175,160,129,102,82,60,58,66,72,77,81,74,89,190,194,193,191,189,187,186,184,188,190,193,195,197,187,176,183,165,127,101,82,63,57,67,74,79,77,65,146,194,193,192,190,189,186,184,183,186,189,191,193,194,184,177,182,158,124,100,85,66,55,69,75,75,68,93,188,194,192,191,188,187,185,183,183,185,187,189,192,193,181,178,176,151,118,97,85,68,56,68,72,67,71,166,194,192,191,189,188,187,185,182,181,185,187,189,191,193,179,175,168,143,115,99,85,69,57,65,68,65,146,192,193,192,190,188,187,186,184,182,180,185,186,188,190,192,177,170,156,133,111,96,82,67,57,61,69,139,193,194,193,191,190,188,187,186,183,182,180,183,185,188,190,190,176,161,149,128,106,93,80,67,58,70,160,192,195,194,192,190,188,186,185,184,182,181,179
1,147,152,156,159,163,165,167,169,171,172,173,175,176,177,176,177,176,177,176,175,174,175,175,172,171,170,169,169,149,153,157,161,164,166,170,171,173,174,176,178,178,178,180,179,180,159,165,178,175,175,175,173,172,171,171,170,150,155,159,163,166,167,171,172,175,178,179,178,179,182,158,170,193,135,118,191,175,176,176,174,173,172,171,171,151,155,161,165,167,169,172,174,177,179,180,179,180,195,124,141,198,132,108,168,174,178,177,176,176,175,172,172,154,158,162,166,169,172,174,177,178,179,182,181,191,195,114,150,191,119,112,130,130,187,177,177,177,177,175,174,155,159,163,167,170,174,176,178,179,181,184,178,157,176,108,162,188,111,137,152,104,184,178,178,179,178,176,176,156,160,165,168,171,174,178,178,181,181,190,176,103,151,117,172,198,123,148,154,97,180,182,180,180,179,177,177,157,162,167,170,173,175,178,179,184,182,196,161,91,148,125,168,184,120,156,156,94,178,186,183,181,180,180,179,158,163,168,171,174,177,178,181,184,183,198,147,82,132,109,148,171,110,170,167,101,178,187,184,183,181,180,179,159,164,168,172,175,178,181,183,184,188,200,138,87,146,109,163,173,110,174,160,101,177,187,184,184,182,182,182,160,166,170,173,176,179,182,185,185,194,195,129,93,166,104,169,171,106,183,157,102,180,187,186,186,184,183,182,162,166,172,174,177,180,184,186,185,198,199,131,78,130,77,152,136,105,193,160,108,184,189,187,185,185,184,183,162,168,172,175,178,181,184,187,185,205,193,133,114,127,117,153,156,132,158,156,107,187,190,189,188,186,186,185,162,168,173,176,179,182,185,187,189,210,189,152,131,177,185,189,192,166,111,131,111,190,189,190,190,188,186,186,162,169,173,176,180,184,186,186,199,209,167,137,107,118,166,160,188,197,145,86,102,195,190,190,190,190,188,188,164,169,174,177,181,184,186,185,208,204,162,123,107,95,116,112,189,213,183,102,98,200,191,190,190,190,189,188,164,170,175,178,182,184,187,186,214,199,152,121,118,116,131,167,178,198,184,127,111,200,191,192,191,191,189,189,165,171,175,178,182,185,187,190,216,192,156,123,127,124,157,204,191,174,146,123,92,182,197,192,192,192,191,191,163,169,174,178,182,186,187,193,218,194,163,136,133,139,188,209,185,163,129,99,87,184,198,194,193,192,191,191,164,169,174,177,180,184,185,192,217,195,159,139,136,147,203,215,180,151,121,87,86,194,194,192,192,192,191,190,165,170,175,178,181,185,187,191,215,196,164,155,137,145,205,213,172,141,114,78,103,202,194,194,193,192,191,190,164,170,175,179,181,185,188,190,211,199,175,173,143,137,209,197,164,128,103,73,164,202,194,194,194,193,191,191,165,171,175,179,182,185,189,189,207,203,180,177,142,144,204,181,157,120,84,96,201,195,196,195,195,193,192,191,164,169,174,178,182,184,188,189,210,207,181,169,132,150,189,160,145,110,69,139,205,194,194,194,192,191,190,190,165,171,176,182,188,189,193,190,211,200,177,154,128,154,167,146,130,97,80,188,205,201,201,200,198,198,196,195,138,141,142,143,146,150,145,166,218,194,177,154,138,158,153,143,121,86,91,154,152,153,153,155,155,155,154,152,110,107,106,107,106,109,100,182,216,195,184,156,155,152,136,129,101,77,93,98,97,97,97,98,94,94,92,91,118,116,117,118,119,116,125,212,196,176,175,165,152,132,123,112,80,86,111,109,108,107,107,107,107,105,106,107
20,172,174,176,175,177,176,175,176,176,175,176,175,174,176,175,171,170,169,167,166,164,161,160,159,156,156,154,152,177,179,179,179,180,179,178,179,180,180,179,179,183,166,162,177,172,172,171,169,167,165,164,161,159,158,156,155,181,182,183,183,183,183,182,182,183,183,183,181,200,164,121,183,178,175,175,172,171,170,167,165,164,162,160,159,186,186,187,187,187,188,187,187,187,187,188,185,195,176,100,113,150,183,177,176,174,173,170,168,167,165,162,159,190,190,191,191,192,192,191,191,191,191,192,189,202,172,86,121,113,174,184,180,178,176,174,172,171,168,166,163,192,193,195,195,195,196,196,195,195,196,195,193,207,160,83,166,121,150,194,183,182,180,179,175,174,173,171,167,196,197,198,198,198,199,198,198,199,199,199,196,213,167,95,180,124,131,197,187,186,183,182,180,177,176,173,173,200,200,201,202,202,203,202,203,202,202,202,200,220,161,96,185,149,126,199,190,190,188,187,183,180,180,177,176,202,203,204,204,204,204,204,205,205,206,205,209,221,138,100,196,159,117,198,193,192,191,190,188,184,182,180,179,205,207,207,207,208,208,208,207,209,208,197,212,225,137,122,212,153,108,198,198,195,193,192,190,188,185,184,179,210,211,211,211,212,211,211,210,211,210,189,176,192,152,119,203,159,108,199,199,197,197,195,192,190,187,191,161,212,213,213,213,214,213,213,214,212,215,227,211,167,140,114,185,175,120,195,203,200,199,197,196,193,190,191,175,216,215,216,217,217,216,217,216,218,207,182,211,178,180,122,155,166,116,191,208,203,202,200,198,195,194,193,181,218,218,217,218,217,219,219,219,218,223,161,129,188,197,110,94,122,101,185,214,205,204,202,200,197,195,194,183,220,219,218,219,219,220,220,221,220,229,168,71,175,193,137,91,88,82,175,218,207,205,205,203,199,196,194,193,221,220,220,220,220,221,220,222,221,221,171,105,132,181,169,124,117,69,161,222,208,207,206,205,201,198,197,195,222,222,222,222,223,224,224,224,215,213,180,150,95,106,166,150,130,68,138,226,210,210,208,206,203,201,198,196,225,225,225,225,225,225,226,220,215,198,196,180,131,103,130,157,136,81,116,228,213,212,211,209,206,203,200,197,226,226,226,225,226,226,224,216,197,144,156,185,156,104,105,150,173,117,88,212,219,213,212,211,208,205,202,199,227,228,228,228,228,229,225,215,206,158,84,135,152,87,86,130,185,155,81,150,229,213,214,212,209,207,204,202,229,230,229,229,229,231,227,214,193,163,116,89,126,93,88,175,201,179,98,108,229,216,216,215,211,209,206,204,229,231,232,231,232,232,230,212,209,196,126,96,129,119,141,218,204,163,87,123,231,216,217,215,212,210,209,206,232,232,233,233,233,235,234,210,214,199,140,116,137,202,224,214,180,146,68,162,232,217,217,215,213,212,209,206,234,234,233,234,235,236,235,209,206,194,159,117,139,227,224,195,156,129,74,199,227,219,219,218,215,213,210,206,233,233,233,234,234,236,237,209,190,185,160,122,136,212,202,176,140,103,92,224,223,220,219,218,215,213,217,216,233,234,234,234,235,235,237,218,190,186,161,138,140,210,199,162,125,76,129,237,219,219,217,215,221,218,194,154,235,235,235,235,236,235,237,232,194,184,169,147,129,196,184,142,102,68,195,231,221,221,224,216,189,124,73,67,235,236,236,236,237,238,239,234,206,188,169,144,122,157,147,110,69,109,235,224,224,216,177,118,72,56,52,62
15,166,150,145,126,111,139,76,41,70,78,80,84,88,92,103,117,131,141,146,150,157,164,168,172,175,179,182,185,166,152,148,125,117,140,70,43,73,79,82,85,88,92,104,119,133,143,148,153,159,166,171,174,178,181,184,187,167,156,152,123,125,140,63,48,76,80,83,86,89,93,106,121,135,145,150,155,162,168,174,177,181,184,187,190,167,158,154,121,133,137,56,54,78,81,84,87,90,95,109,124,138,148,152,157,164,171,177,181,184,188,190,192,167,160,154,119,140,132,56,63,83,86,90,94,97,99,111,126,140,150,155,160,167,175,180,184,188,191,194,196,166,166,154,126,139,132,94,97,103,108,113,115,112,104,106,116,129,142,151,157,164,170,179,187,192,195,198,200,165,168,147,128,128,125,117,111,107,111,111,108,104,106,107,108,112,119,127,135,138,136,145,164,186,198,202,204,165,159,133,119,117,112,108,103,102,104,104,102,104,113,116,114,111,110,113,123,127,119,112,112,137,174,199,207,169,163,136,114,116,100,94,95,99,102,103,103,109,117,120,117,111,109,114,122,124,120,112,100,97,113,154,188,171,169,141,125,147,89,64,84,90,92,95,98,106,116,121,121,114,112,118,122,120,119,114,106,99,94,99,118,175,171,138,136,159,76,49,79,83,85,87,90,95,109,128,145,135,123,121,121,119,118,114,110,108,107,96,87,179,174,134,144,157,67,52,81,83,84,86,89,93,108,141,167,155,132,121,116,110,111,112,112,115,120,107,94,181,174,132,151,152,59,56,83,84,84,86,89,94,117,159,163,142,112,99,99,88,93,112,118,124,128,114,103,181,173,130,158,145,53,60,84,83,84,87,90,98,139,167,147,125,94,68,65,57,75,127,136,136,128,114,109,182,170,129,163,137,49,65,85,84,84,87,90,116,169,163,132,109,82,53,43,39,76,145,155,145,123,108,108,183,167,130,168,129,46,69,86,84,84,86,91,134,184,164,128,100,66,43,38,40,90,154,167,154,124,104,103,186,165,132,172,120,44,73,86,84,84,86,89,123,178,175,141,103,60,38,43,55,98,153,172,158,127,103,95,190,163,137,177,112,44,76,86,84,84,86,89,106,163,188,163,117,69,41,59,80,105,149,163,146,121,100,86,193,161,143,182,104,45,79,86,83,83,85,89,99,144,194,182,137,91,64,73,108,134,148,139,120,108,94,80,194,156,149,183,95,47,81,85,82,81,83,87,97,128,186,193,167,144,133,136,147,138,124,109,97,95,90,82,194,152,156,182,85,49,82,83,81,80,82,85,96,122,172,191,170,156,153,159,153,120,96,90,86,88,91,91,193,148,163,178,75,51,82,82,79,79,82,85,97,130,175,166,144,138,143,158,149,110,85,85,93,92,87,84,190,145,171,172,67,54,82,80,78,77,81,85,97,145,176,149,133,131,134,148,144,110,88,112,152,116,74,63,187,143,178,166,63,60,83,80,76,76,79,83,96,142,165,142,130,125,121,130,132,109,96,161,208,135,74,61,183,142,182,170,103,98,109,104,99,96,95,97,107,131,148,145,149,147,120,106,123,111,106,169,212,139,79,65,179,144,186,181,143,120,123,123,121,119,120,122,123,126,131,136,147,167,149,110,126,127,122,154,173,125,82,69,175,146,190,181,141,115,119,120,120,121,122,123,123,123,123,126,129,151,164,130,121,127,127,132,133,107,78,68,171,149,192,178,140,117,120,122,123,123,123,124,125,127,128,129,128,135,149,138,129,131,132,133,131,104,68,51
15,134,137,140,143,120,112,114,117,107,76,118,125,75,37,73,88,89,93,97,100,105,116,124,128,133,136,140,142,134,138,141,142,119,115,115,120,101,81,122,126,66,41,78,88,90,93,97,102,106,117,124,127,134,137,140,143,135,139,142,141,119,118,117,123,94,88,124,122,58,46,81,87,90,94,98,102,107,119,125,127,133,137,140,143,137,140,143,138,117,116,116,126,87,96,126,120,50,50,82,87,90,95,98,102,108,118,123,128,134,137,141,144,138,141,143,138,136,128,120,120,88,102,126,114,39,51,85,87,91,94,98,103,109,120,124,130,135,138,142,144,138,142,144,140,133,134,132,127,122,118,121,109,72,71,88,88,90,93,99,102,110,121,126,131,135,139,142,145,139,143,146,134,117,114,105,116,121,122,125,128,128,120,117,113,109,105,102,102,112,124,126,132,137,139,143,146,140,143,147,132,121,118,99,98,104,100,109,130,124,124,123,125,131,132,117,107,106,110,127,131,137,140,143,146,141,144,147,130,124,124,128,111,82,103,94,114,117,113,110,114,131,143,134,116,111,88,105,134,136,140,143,146,142,144,146,129,124,124,130,107,83,132,127,82,89,111,100,117,140,142,134,127,123,102,85,123,140,141,143,147,143,146,147,127,125,125,133,100,87,132,135,63,42,82,105,147,139,142,144,142,136,118,98,93,138,141,144,147,143,146,147,126,128,124,136,102,96,132,132,54,41,87,119,157,119,141,149,153,150,126,103,85,107,146,144,147,144,147,144,128,129,135,128,116,120,118,118,60,89,139,130,107,111,142,150,156,148,125,107,97,83,128,149,147,145,149,142,127,132,138,121,126,136,134,115,102,116,116,109,81,103,164,145,135,136,126,115,101,85,93,147,148,145,150,140,127,134,125,103,115,135,137,115,104,114,111,113,117,128,129,114,115,126,127,113,99,93,78,118,153,146,150,139,130,134,134,114,100,124,125,106,109,118,116,120,128,129,112,97,101,115,115,106,96,93,84,84,140,147,150,138,134,135,136,130,84,126,105,94,105,111,114,119,128,121,104,94,95,102,104,104,103,96,91,81,94,147,151,138,135,135,139,120,85,142,94,76,84,96,99,112,120,119,104,96,97,100,100,104,107,99,95,88,79,148,151,137,137,135,142,114,109,111,82,74,62,101,110,92,108,108,102,100,102,101,101,104,105,99,95,91,84,148,149,136,138,136,139,137,101,80,76,68,43,141,146,89,103,104,100,103,108,109,108,106,102,100,97,92,87,148,149,137,140,136,145,131,84,70,91,61,35,114,148,109,105,127,120,125,126,119,111,106,99,98,100,97,88,150,147,136,141,139,144,100,75,96,137,56,43,79,119,129,95,104,128,125,123,118,108,102,97,97,99,100,95,151,146,136,143,140,150,88,107,148,137,48,47,86,89,103,91,78,108,120,112,110,104,100,99,100,101,101,98,151,147,138,145,143,152,84,129,153,134,42,50,88,92,89,92,93,105,131,110,102,102,99,102,106,105,100,97,151,144,141,146,146,150,80,133,156,128,36,54,90,90,91,93,97,96,120,140,116,95,95,96,100,106,105,99,150,143,143,147,148,144,80,141,156,118,34,58,91,89,90,92,95,99,99,135,151,125,107,94,96,105,114,104,150,144,146,148,151,137,85,147,159,107,34,63,92,89,89,91,95,98,102,114,146,125,112,119,118,121,117,109,151,146,148,148,154,130,86,150,160,97,34,67,92,87,89,91,95,97,103,113,120,117,127,135,127,130,128,124
24,133,139,144,149,151,154,157,159,159,160,162,163,163,163,164,163,162,161,161,161,160,159,158,159,158,157,154,153,135,140,146,150,151,155,157,159,160,162,164,164,165,165,165,164,163,163,164,163,161,161,159,160,159,158,156,154,136,142,146,149,156,156,159,160,161,164,165,166,166,165,166,166,164,164,165,164,163,162,161,160,159,157,156,156,138,140,158,172,138,159,160,162,163,165,166,166,166,166,167,167,166,165,165,164,164,164,162,162,160,158,158,157,141,138,178,193,110,163,162,163,164,166,168,169,168,167,169,169,168,166,166,165,165,165,164,163,161,159,159,158,142,139,181,187,104,161,164,165,167,168,170,171,171,172,170,170,169,168,168,166,166,166,165,164,163,162,159,159,144,141,180,193,101,153,168,166,169,170,170,172,173,173,172,171,171,171,169,168,168,167,166,164,163,163,161,160,145,143,175,201,112,149,169,166,169,172,172,172,173,173,173,173,173,173,171,170,169,168,167,166,165,165,163,162,146,146,170,204,116,139,174,169,172,172,174,175,173,174,177,175,174,173,172,171,170,170,169,168,167,166,164,162,146,148,166,212,137,120,172,171,171,180,176,170,188,183,163,177,174,174,174,172,172,170,169,167,168,167,166,165,147,152,164,221,166,120,204,183,156,214,179,126,201,200,127,147,185,176,176,175,174,174,173,173,169,167,167,165,148,153,161,211,173,153,240,182,163,219,182,129,195,186,140,107,176,181,178,177,174,167,161,156,171,168,167,166,150,156,158,207,195,188,243,182,163,226,174,140,212,173,130,88,149,187,177,178,154,129,110,88,149,175,169,168,151,159,158,211,217,203,243,191,146,228,163,145,211,167,107,74,140,183,177,172,131,99,103,128,163,174,171,170,152,157,167,208,210,198,230,196,137,212,165,149,200,156,80,50,133,187,175,149,108,126,175,181,176,172,172,171,154,155,178,204,178,183,209,193,131,201,171,149,197,132,62,93,150,179,139,110,118,183,181,177,177,174,173,172,156,156,186,228,163,156,192,181,124,205,163,151,192,119,152,180,166,141,101,106,175,184,180,180,180,179,175,174,156,154,192,245,181,144,182,176,138,213,140,137,196,185,198,172,144,125,95,168,190,183,183,182,181,180,178,175,156,153,195,249,194,135,174,186,170,205,126,167,222,193,175,164,127,104,148,194,183,183,182,182,181,179,177,174,156,155,194,245,196,149,166,178,165,185,195,226,209,184,170,148,109,119,192,187,186,185,184,182,180,179,178,175,157,156,194,243,204,176,159,185,225,237,241,211,193,181,161,123,99,168,193,188,187,187,186,185,182,180,180,177,156,157,183,245,216,184,173,197,237,239,230,204,181,160,142,103,147,196,188,189,188,189,186,186,184,181,181,179,155,161,170,237,219,188,181,205,241,237,215,198,166,140,113,129,195,190,190,189,188,188,184,184,184,181,181,180,158,164,173,226,206,188,183,206,229,216,195,175,151,123,116,190,199,197,197,196,194,193,190,190,188,190,186,178,129,128,136,213,198,195,192,201,216,205,176,148,132,109,117,137,131,131,130,129,129,129,129,129,129,118,122,153,104,101,96,201,208,203,200,204,211,194,156,132,120,103,97,93,91,91,90,88,88,88,89,80,75,114,168,181,111,112,99,201,227,206,208,206,200,181,145,123,110,103,104,104,104,102,101,100,98,100,98,114,173,204,184,159,111,112,96,193,239,211,218,199,186,176,148,114,102,103,102,103,103,101,101,101,101,94,131,204,204,172,170,145
7,227,227,227,227,227,227,227,227,226,226,226,225,224,223,222,222,221,220,219,218,215,214,214,211,210,209,207,205,229,228,228,228,229,229,229,228,228,228,228,227,226,225,224,223,222,221,221,219,218,216,216,214,212,210,209,206,229,229,230,230,230,230,230,231,230,229,230,229,228,228,227,225,224,223,222,221,220,218,215,215,215,212,211,209,231,230,231,232,232,231,231,232,232,231,230,230,229,229,227,226,226,224,223,223,223,222,220,220,218,215,213,211,232,232,233,233,233,233,232,233,233,233,231,230,230,229,229,230,231,229,227,223,218,210,205,204,209,218,215,213,233,234,234,233,233,234,233,233,233,235,236,235,236,233,229,217,203,194,186,190,178,160,183,207,181,210,218,214,235,235,234,235,234,235,236,238,238,232,226,218,204,192,180,178,163,154,167,161,158,154,169,181,163,215,220,215,235,235,236,236,236,238,232,213,194,183,175,178,176,172,170,166,155,142,147,136,139,134,119,138,173,190,211,219,237,237,237,237,240,227,203,186,162,163,172,168,168,163,162,147,145,151,142,139,144,137,136,132,122,133,158,216,236,235,238,238,218,202,203,187,155,147,143,140,144,149,158,166,171,172,145,127,147,137,127,121,109,131,133,208,236,240,232,207,198,203,198,186,172,159,157,162,172,179,175,176,166,158,134,113,118,109,107,113,116,130,172,221,240,232,203,196,200,199,192,192,188,177,175,170,172,167,156,150,138,126,113,121,149,172,192,205,216,222,226,221,234,203,197,199,201,194,198,196,181,149,131,137,140,129,121,147,158,175,196,221,236,237,235,232,229,225,222,222,207,203,203,203,200,200,196,180,161,118,111,118,107,102,94,153,242,244,241,237,232,229,228,228,228,226,223,222,203,207,205,202,201,193,173,168,148,120,109,97,95,96,97,77,167,245,232,234,233,231,229,229,227,226,223,222,205,205,202,205,197,180,170,164,159,161,142,103,96,100,90,100,201,239,233,233,231,230,228,227,225,223,225,224,200,203,209,205,187,169,162,158,166,175,142,100,97,93,101,200,245,234,234,233,233,230,228,228,231,231,215,153,201,207,205,190,164,151,151,149,153,146,112,94,92,76,152,254,234,237,234,233,232,235,237,227,203,163,121,101,202,201,186,165,157,156,155,144,138,126,112,98,97,80,147,247,234,239,239,238,242,214,173,139,111,98,95,100,196,181,165,164,163,159,152,130,117,125,129,107,89,122,232,247,242,224,215,213,183,126,104,94,98,98,99,99,175,164,165,160,149,134,120,115,123,138,127,95,110,204,215,197,160,117,112,108,101,98,109,98,87,93,97,100,167,167,156,137,127,124,122,125,124,117,100,116,137,130,121,118,90,87,99,86,98,91,91,96,77,85,93,99,167,161,144,136,137,134,125,115,108,105,135,146,125,114,110,107,102,76,94,85,87,85,85,86,74,79,89,96,155,137,127,126,124,119,111,109,124,145,148,124,110,105,99,93,92,79,79,87,79,82,83,79,69,75,88,93,119,101,109,114,119,122,129,143,153,144,109,104,101,97,89,92,87,83,69,82,75,78,81,73,70,78,86,92,91,123,149,150,156,153,150,150,144,120,99,87,95,95,84,87,83,83,65,73,77,75,82,71,71,79,84,89,104,152,153,151,156,149,147,144,126,93,90,85,83,92,78,81,74,79,68,67,76,75,81,68,74,79,84,88,117,153,153,150,151,150,144,130,103,77,91,87,75,89,74,79,69,77,75,61,74,76,78,69,77,78,86,85
1,51,65,70,74,82,97,115,127,133,139,144,148,155,160,155,161,164,166,167,168,169,170,171,171,171,171,172,171,56,66,71,76,84,100,118,130,136,143,148,153,164,169,139,150,162,167,171,171,171,172,172,172,172,172,172,172,62,68,72,77,85,103,121,133,140,147,156,158,169,174,123,124,138,157,175,177,176,176,176,175,174,174,173,173,67,70,74,79,87,106,125,136,144,153,172,158,155,173,120,113,124,134,175,182,182,183,182,181,179,178,177,177,70,71,75,80,90,109,128,139,147,158,184,160,137,165,118,110,126,117,169,188,188,188,187,186,184,183,182,181,71,72,76,82,93,113,131,142,150,161,188,162,127,154,120,110,127,110,160,193,193,193,193,191,190,189,188,187,72,73,77,82,96,117,135,145,154,166,188,162,117,143,126,114,135,115,153,196,199,198,198,197,195,194,193,192,73,74,78,84,99,121,139,148,162,172,177,161,112,125,120,112,138,119,147,199,204,203,203,202,200,200,199,198,74,75,79,85,102,125,142,151,173,173,163,158,110,116,118,106,138,123,144,201,208,208,207,206,205,204,203,202,76,77,80,86,105,128,145,156,185,169,150,157,113,121,125,109,149,139,145,202,212,211,211,210,209,208,207,206,77,78,82,88,108,131,148,160,188,160,140,162,119,116,123,111,153,147,142,202,215,215,215,214,213,212,211,211,77,78,82,90,111,135,151,164,189,154,128,156,118,100,113,115,153,147,135,199,218,219,218,217,216,215,215,215,77,78,82,91,114,138,154,168,193,155,115,141,116,99,113,128,161,144,129,195,221,222,221,221,220,219,219,219,78,79,82,92,116,140,157,172,198,162,111,138,145,134,133,148,162,130,116,185,223,224,224,224,223,223,223,223,78,79,83,94,120,144,161,174,199,167,121,147,166,150,139,143,143,122,107,167,223,227,227,226,226,226,226,225,78,79,83,96,123,147,164,177,202,179,145,141,134,135,131,130,127,128,121,150,213,229,229,229,229,229,228,226,77,80,84,98,126,151,166,181,212,192,152,128,115,126,133,144,143,151,150,140,176,222,231,231,230,223,206,184,77,80,84,101,129,154,168,186,218,194,148,120,115,130,149,184,185,176,179,152,134,191,229,219,191,153,112,84,78,80,85,103,132,157,171,189,219,192,142,117,120,140,171,210,217,196,190,152,113,156,197,145,92,66,54,47,77,79,84,104,134,158,172,188,217,194,144,119,127,150,185,217,230,214,180,132,101,122,119,75,51,42,46,42,75,77,83,105,136,160,173,187,214,199,152,123,133,158,195,222,228,209,167,121,94,78,60,55,52,35,42,46,75,76,83,106,138,162,175,187,212,205,166,131,136,162,198,225,221,195,157,118,89,64,46,41,51,36,31,44,74,75,82,107,140,164,177,187,208,208,180,142,139,161,198,222,210,182,147,112,85,62,45,31,41,41,25,32,89,88,93,112,139,160,171,180,196,203,187,153,143,158,194,213,200,173,137,105,81,61,43,29,29,42,28,21,114,113,114,118,125,133,140,145,159,188,190,162,151,155,183,199,189,162,127,98,75,56,45,29,22,36,34,17,117,117,117,118,119,121,123,125,131,166,188,169,156,152,166,183,174,147,115,90,67,45,44,30,18,31,39,22,117,117,119,121,122,123,124,125,127,145,177,172,158,150,149,163,157,131,102,81,65,43,37,27,17,25,41,33,117,118,119,120,122,123,124,126,127,134,166,175,162,151,141,147,145,121,93,74,66,47,28,17,18,22,40,41
12,158,162,165,166,169,171,173,173,174,175,176,176,179,180,180,179,179,179,180,180,179,180,178,177,176,176,176,175,160,163,165,167,170,172,173,175,175,176,176,178,179,180,180,181,181,180,180,180,180,179,179,178,178,177,177,176,161,163,167,169,170,172,173,175,176,178,179,179,180,180,178,180,183,183,180,181,180,180,180,180,179,178,178,178,162,164,167,169,171,173,174,176,178,179,178,181,179,176,199,180,159,173,184,181,182,180,181,181,180,180,180,178,162,165,168,170,172,174,176,178,179,177,190,211,194,159,194,203,152,132,183,181,182,183,181,181,181,179,179,179,163,166,169,171,173,175,178,179,181,176,213,232,209,173,140,192,178,124,167,198,166,166,184,182,181,180,180,179,164,166,169,172,174,175,178,179,181,177,211,216,218,195,171,142,171,151,146,206,162,127,164,186,181,181,181,180,164,167,170,173,174,176,178,180,180,176,208,189,178,200,173,115,154,166,115,154,166,118,130,187,182,182,181,181,165,168,171,173,175,177,179,175,188,206,172,156,167,182,169,151,167,140,99,120,146,118,117,184,184,182,181,182,165,169,172,174,176,179,176,188,230,204,157,121,146,189,191,190,176,147,129,170,134,113,119,185,184,183,182,183,165,169,172,174,176,178,174,220,220,193,165,125,100,167,180,174,186,195,182,175,129,106,128,191,184,185,184,185,166,169,173,175,178,175,195,215,201,205,172,131,83,112,137,162,185,212,201,170,125,93,150,192,184,185,185,185,167,170,173,175,178,174,216,207,195,209,178,143,94,94,95,116,178,199,205,185,158,114,171,191,185,185,185,184,167,171,173,177,174,195,217,196,181,214,197,159,100,101,102,144,200,192,186,165,167,139,146,192,185,186,186,185,165,169,173,176,172,218,220,196,160,177,211,170,116,94,162,209,202,188,181,152,149,139,130,190,186,186,186,186,166,170,172,173,173,223,222,196,161,141,179,204,143,154,223,199,193,183,173,150,135,121,144,192,186,186,186,185,167,171,174,175,179,230,223,196,183,181,150,158,166,222,223,202,190,184,163,147,126,114,164,192,187,187,186,186,167,171,175,174,180,231,220,203,202,194,169,167,214,226,223,206,180,171,153,145,122,117,181,191,188,188,187,186,167,171,175,174,180,227,223,214,207,196,180,176,215,224,214,198,173,156,149,139,116,133,192,189,189,188,187,187,167,171,173,176,177,222,228,219,207,193,182,177,210,218,203,185,161,151,151,131,111,164,195,189,189,190,187,185,166,169,172,176,171,207,225,213,204,195,187,183,202,206,190,170,156,154,149,119,127,190,189,189,188,187,186,185,167,171,174,179,175,196,220,204,196,193,187,183,197,202,183,164,153,150,137,115,171,196,191,192,191,190,190,190,147,149,150,152,147,174,218,191,190,190,182,170,186,201,181,157,144,140,125,119,150,150,148,148,148,147,147,148,117,116,115,118,107,144,220,186,190,192,181,168,179,196,167,139,132,129,119,113,109,109,109,108,107,107,107,107,124,124,123,125,117,147,223,191,198,196,182,169,174,192,156,133,126,122,118,119,117,118,116,115,116,114,114,114,124,123,123,126,118,146,227,202,209,203,187,170,166,188,155,135,120,117,118,119,119,116,115,115,115,114,114,114,124,123,124,126,119,141,224,210,216,202,186,166,159,182,156,133,119,115,118,119,119,117,117,116,116,116,115,112,124,124,125,125,121,132,217,211,212,193,180,168,156,174,153,128,118,115,118,118,117,117,116,116,117,116,112,120
13,138,140,141,142,142,143,144,144,143,143,143,143,143,143,142,141,141,140,139,139,138,137,136,135,135,135,134,133,140,141,141,143,144,145,145,146,145,144,144,144,144,144,143,142,141,140,140,141,139,138,137,136,135,135,135,134,142,142,144,144,146,146,146,147,147,146,145,145,145,144,145,143,142,142,142,142,141,140,139,138,137,137,136,135,143,145,146,146,147,148,147,147,147,147,147,146,145,146,146,145,145,147,145,142,142,140,140,140,139,139,137,137,144,145,146,147,148,148,148,148,148,147,148,147,148,147,146,145,132,123,143,144,142,148,142,141,141,141,140,138,145,147,149,148,149,149,150,150,150,152,150,150,146,147,150,144,110,65,79,141,114,107,141,144,141,142,141,139,147,147,149,149,151,152,150,154,143,124,150,154,124,103,143,134,105,69,45,102,99,57,83,148,142,142,142,140,147,149,151,152,152,152,156,164,144,89,101,149,122,82,126,141,101,78,45,90,95,73,49,123,149,142,142,141,149,150,153,153,154,151,177,169,144,99,99,144,114,88,141,164,112,78,55,116,105,81,39,115,152,143,143,142,150,152,153,153,154,154,183,172,147,100,109,149,110,83,166,168,108,69,86,145,102,68,42,126,151,145,144,144,151,153,154,155,152,173,182,160,149,93,103,145,115,71,117,142,83,61,72,96,68,45,50,142,149,146,146,146,152,154,156,154,163,181,159,136,113,70,100,141,107,73,32,58,83,78,69,68,72,48,75,155,147,148,148,147,154,155,156,153,176,179,146,108,80,55,95,111,90,53,15,28,67,64,84,103,104,76,88,159,148,150,149,148,155,156,156,157,189,186,167,130,100,51,78,89,69,68,92,125,129,121,123,111,119,102,69,145,153,151,150,149,155,157,156,165,194,182,169,157,133,84,82,116,131,158,163,156,149,139,132,101,91,88,60,119,161,152,152,151,158,159,156,170,192,181,172,161,136,124,128,156,168,161,155,148,142,130,119,103,83,86,65,97,163,152,153,152,159,159,156,174,191,182,172,161,142,141,150,161,169,158,153,148,141,127,112,102,89,83,63,81,163,153,153,153,158,159,157,174,189,180,173,159,145,142,151,159,169,160,153,148,133,116,106,96,80,76,48,104,163,153,153,153,159,160,157,170,186,179,169,152,137,135,146,153,157,154,150,138,120,108,97,82,72,45,79,160,155,155,155,154,158,163,169,167,175,170,153,135,129,141,147,149,143,145,141,127,115,99,82,69,44,52,152,160,157,156,155,155,166,144,104,157,168,157,148,141,136,146,150,143,134,128,122,108,92,77,61,38,57,144,163,157,158,157,156,155,166,98,37,80,171,168,164,162,144,136,147,135,115,103,105,89,72,50,54,102,156,164,159,160,158,158,157,156,121,63,70,52,92,162,169,161,143,125,133,120,96,88,86,65,41,80,153,170,162,160,162,160,159,159,158,157,77,60,61,62,50,76,122,121,117,115,127,105,85,77,62,41,110,168,166,161,163,163,162,161,160,159,159,158,69,61,56,57,64,24,32,47,46,49,62,63,59,54,36,117,178,165,163,164,164,164,162,162,162,160,159,158,63,56,55,53,62,44,12,38,37,31,26,25,25,28,26,131,168,167,165,165,165,163,162,163,163,161,160,159,59,57,53,50,58,51,6,26,34,28,28,25,23,19,3,38,169,166,165,165,165,163,162,163,162,161,159,158,58,55,53,44,54,47,4,19,28,25,26,22,23,17,0,115,174,163,165,164,164,163,162,162,161,160,158,158
4,165,168,171,174,177,179,181,184,185,187,187,189,190,191,190,191,191,190,188,189,189,188,188,187,187,186,185,185,166,169,173,176,178,180,182,185,187,188,188,191,193,192,190,188,191,192,192,191,191,189,189,188,188,187,187,186,168,171,174,177,180,181,184,186,188,189,188,184,189,203,185,153,157,195,194,193,192,190,190,189,190,189,187,187,169,172,174,178,181,184,186,188,188,203,193,165,152,216,193,152,109,192,194,194,195,193,192,191,192,191,189,189,170,174,178,180,183,186,188,188,187,223,214,172,129,195,194,151,98,146,163,175,194,195,194,193,193,192,191,190,171,175,179,182,183,185,197,209,193,170,215,187,141,169,196,151,83,102,144,123,166,196,195,195,194,193,192,191,173,176,180,183,186,188,220,221,194,132,192,185,139,140,183,137,78,105,145,123,100,193,197,196,195,194,193,192,173,176,181,184,186,188,217,205,184,126,173,169,127,110,153,122,75,127,157,122,84,187,198,197,195,195,195,193,174,178,182,184,186,188,217,189,187,131,155,160,121,87,130,113,84,170,165,112,82,189,199,197,196,197,195,194,175,179,182,185,188,188,218,180,176,160,138,165,149,95,114,99,94,169,144,89,81,197,200,197,197,198,196,195,176,180,183,187,189,191,227,209,177,136,106,175,158,160,145,139,141,165,151,108,84,200,202,200,199,198,197,196,177,181,185,187,189,195,229,206,171,127,96,109,112,170,151,167,183,194,182,131,100,202,203,202,200,199,199,198,178,182,186,187,190,201,225,187,148,120,99,88,86,117,150,164,177,183,170,129,97,195,202,202,201,200,200,199,178,182,186,189,190,210,224,190,152,116,93,88,97,104,125,142,147,153,158,134,94,168,203,203,201,200,201,200,179,182,186,189,189,216,223,191,151,119,102,96,104,125,123,132,157,164,171,148,106,131,205,204,203,201,200,201,179,183,187,190,191,222,220,185,144,115,105,98,102,136,138,171,196,197,197,164,118,94,197,205,204,203,202,201,180,184,187,191,192,224,219,185,145,120,106,106,106,137,158,201,219,209,210,176,126,85,165,207,206,206,203,203,181,184,188,192,192,222,212,184,151,132,118,111,114,138,198,216,218,202,195,162,120,84,158,208,207,206,204,203,181,183,187,191,192,219,207,186,155,135,121,113,124,178,221,223,209,192,164,138,102,89,190,208,206,206,204,203,180,182,187,190,191,216,212,188,150,126,119,125,144,213,227,218,192,167,141,111,85,135,205,207,205,205,204,203,181,182,187,189,192,212,217,191,160,151,134,140,165,222,220,203,176,148,120,92,89,192,207,207,206,206,204,203,181,184,187,190,194,204,214,198,172,163,143,128,182,218,205,184,156,131,102,79,139,208,209,208,207,206,205,203,181,184,187,191,194,204,219,201,176,166,145,125,190,207,185,159,131,108,86,85,194,210,209,207,207,206,205,203,181,184,187,192,192,207,225,209,181,159,136,123,184,189,160,136,109,90,72,142,208,209,208,208,207,207,205,203,182,185,188,192,188,226,224,201,171,144,117,128,171,157,122,105,88,74,96,198,209,208,208,208,208,207,205,203,181,184,188,189,202,232,219,200,176,138,125,142,153,118,95,89,79,83,179,208,208,208,208,207,207,207,205,205,170,171,175,174,220,225,217,203,173,146,138,141,134,104,95,95,78,141,189,194,194,194,194,195,194,195,194,193,120,118,118,145,223,212,199,187,158,143,151,124,112,96,90,87,79,108,117,116,116,115,115,115,116,119,120,118
20,173,174,174,175,175,176,176,176,177,177,176,176,175,176,175,173,174,172,170,169,168,167,165,164,163,162,160,159,176,176,176,179,178,179,178,178,179,180,179,179,178,177,175,176,175,174,173,172,170,169,167,165,164,162,161,161,180,180,182,181,181,182,182,181,182,182,182,182,180,187,182,138,180,181,175,175,174,172,171,169,168,165,164,163,183,183,185,185,185,185,186,186,185,185,185,186,183,190,192,125,143,168,181,176,176,175,174,172,171,169,167,166,186,188,188,188,189,189,190,188,188,189,189,189,188,192,193,122,106,125,170,184,179,177,176,175,173,171,170,167,190,190,191,192,192,192,193,192,191,192,192,193,190,198,190,106,136,143,142,192,182,181,180,179,176,175,173,171,192,193,194,195,196,196,195,195,196,195,196,196,193,203,190,107,156,161,122,193,186,185,183,182,180,178,177,175,197,197,197,198,198,199,199,199,199,199,200,200,195,211,194,116,158,172,119,189,190,188,187,186,183,181,179,177,200,200,200,200,201,201,202,201,202,202,203,201,197,218,180,108,167,189,123,183,195,191,190,189,187,183,182,181,203,202,202,203,203,204,204,203,204,205,205,203,203,227,167,113,186,187,119,179,200,193,192,191,190,187,185,183,205,205,205,207,207,207,207,207,206,207,207,192,179,205,177,125,193,187,114,175,203,195,195,193,191,190,188,187,208,209,209,209,209,209,210,209,209,209,210,218,203,176,158,123,168,193,129,173,205,197,197,196,194,192,191,189,209,210,210,211,213,212,213,211,211,211,211,198,215,195,170,145,151,189,134,166,209,199,199,198,197,194,193,191,211,213,214,213,215,214,214,214,214,213,217,187,149,182,201,146,109,145,122,158,212,201,202,200,199,197,195,193,214,215,215,214,215,214,215,216,216,215,218,204,100,152,200,154,107,100,100,148,215,202,203,202,200,198,196,194,215,216,216,215,216,216,216,217,216,216,220,198,116,129,188,181,135,123,93,132,217,205,205,204,202,201,198,196,216,217,217,217,217,217,218,217,218,215,211,192,159,121,114,168,163,145,100,112,217,207,207,205,204,202,200,197,217,218,218,218,219,219,220,220,219,215,209,199,183,148,107,134,160,147,108,98,211,211,209,208,205,203,201,199,220,220,220,221,220,221,221,221,215,207,167,161,191,170,127,116,146,175,140,93,191,219,209,209,208,206,203,200,221,221,222,222,221,222,223,222,212,208,180,115,132,174,115,98,122,177,168,105,136,224,211,210,209,207,205,203,222,222,223,223,223,224,224,224,214,202,174,134,96,138,114,94,142,196,190,132,96,209,217,212,209,209,208,205,224,224,224,225,225,225,225,226,214,206,198,158,106,127,132,115,196,212,183,128,99,211,217,214,212,210,208,206,225,226,227,227,227,227,226,228,213,208,210,157,127,132,176,198,222,191,169,102,119,223,215,215,214,210,207,206,227,227,228,229,229,227,227,230,215,205,204,172,138,129,207,230,209,172,154,91,152,228,214,216,214,211,209,208,228,227,228,229,229,229,228,232,218,194,191,174,140,128,199,210,190,158,135,91,185,226,215,215,215,213,209,208,226,227,227,227,228,228,228,231,222,193,190,173,149,136,193,206,179,146,114,96,214,221,217,216,214,212,213,218,227,228,229,228,228,229,230,230,230,201,187,176,163,137,184,200,165,130,88,139,230,217,217,215,215,217,206,162,229,229,230,229,229,230,231,231,233,209,193,178,160,133,157,172,136,106,80,198,227,218,218,216,208,169,117,74
6,199,199,199,198,199,199,198,198,198,198,197,197,195,194,193,191,190,189,188,187,186,185,183,181,181,179,176,174,200,201,201,200,201,201,200,200,201,200,200,199,198,197,195,194,193,192,191,190,188,187,186,184,182,181,179,177,201,202,202,202,202,203,202,202,202,203,201,200,200,199,198,196,195,194,194,192,190,189,188,186,185,182,180,178,203,203,204,204,204,204,205,206,205,205,203,203,201,200,200,199,197,197,195,194,193,193,192,191,188,186,182,181,205,205,206,206,206,205,206,207,206,205,205,204,205,205,204,203,202,199,195,190,187,185,179,174,175,174,182,184,206,206,207,207,206,207,207,208,211,211,209,203,202,197,189,181,174,160,144,147,154,154,140,147,194,178,160,188,207,207,208,207,206,208,209,210,197,175,166,157,159,157,153,145,145,141,127,147,146,137,139,139,168,147,149,190,207,208,209,208,207,211,205,187,165,145,142,149,152,160,160,156,140,129,118,112,105,110,114,108,120,147,182,189,210,210,210,211,211,195,178,174,166,141,121,128,135,129,115,111,96,91,106,130,148,166,175,187,195,197,192,189,211,211,213,211,183,168,172,169,156,135,99,87,69,98,158,164,171,177,196,209,208,206,203,200,196,194,193,192,211,214,211,179,165,170,173,169,167,160,129,82,54,89,160,191,215,215,206,204,201,200,200,199,198,196,195,193,216,211,183,169,175,179,179,179,181,166,112,70,69,64,58,65,91,193,210,205,206,203,202,201,199,198,196,194,198,175,175,183,182,183,180,170,175,133,73,61,65,69,73,71,48,121,220,205,207,206,203,202,200,199,197,195,170,175,184,183,180,181,166,161,167,131,98,68,47,60,67,73,66,55,190,213,207,206,204,202,201,199,198,195,176,180,184,185,183,170,161,168,168,171,153,98,56,56,55,55,66,123,205,208,206,207,205,203,201,200,199,197,178,180,186,186,177,163,162,165,162,168,143,85,63,63,67,49,154,227,208,208,208,207,206,205,203,201,199,198,177,184,186,175,164,160,159,155,152,148,115,66,55,59,67,41,151,224,208,211,208,206,207,205,204,202,200,199,179,178,166,164,165,161,160,149,136,137,127,86,46,54,51,108,206,211,208,208,207,206,206,203,201,199,197,196,168,157,155,162,157,148,139,132,136,151,156,107,62,69,48,162,227,210,209,207,207,206,205,202,202,203,205,199,157,157,157,149,135,130,130,137,145,155,144,92,63,60,42,166,222,209,208,208,207,206,206,209,196,175,140,106,157,155,145,135,131,132,132,127,124,120,90,55,65,74,148,217,213,219,219,215,210,208,209,161,94,67,58,56,144,132,121,129,131,129,113,94,81,69,65,130,188,208,221,217,210,179,165,121,107,108,97,66,61,64,49,55,109,86,80,100,109,103,85,72,75,115,168,221,217,213,213,210,130,82,73,41,49,49,44,52,47,57,48,36,69,53,67,89,91,88,83,88,104,123,125,117,119,124,123,100,74,67,66,51,37,54,41,46,40,43,44,30,57,72,119,116,116,117,116,114,114,110,108,108,94,82,68,60,58,56,45,56,29,45,38,37,39,40,34,31,53,100,131,120,121,127,122,117,122,122,123,110,70,53,60,55,47,49,45,50,33,32,37,33,36,39,29,34,59,109,118,115,117,118,116,114,116,112,94,63,57,40,49,53,43,42,40,43,37,22,33,32,35,38,25,35,68,115,115,116,120,118,115,116,109,87,73,43,50,43,37,51,38,38,34,36,39,21,30,32,34,35,26,35
6,192,193,193,194,194,195,194,194,195,196,196,197,197,196,197,197,195,196,196,197,197,196,195,195,194,193,193,193,193,194,194,195,196,195,196,196,196,196,196,197,198,198,198,199,198,198,198,198,198,198,197,196,196,195,194,195,194,194,195,196,196,196,197,197,197,196,196,197,198,199,199,200,199,199,200,200,200,199,198,197,197,196,195,196,194,195,195,196,197,197,198,199,199,199,199,198,199,200,201,201,201,200,200,200,199,197,196,197,196,197,197,197,195,196,196,197,199,199,199,199,199,200,201,200,200,200,198,194,190,191,191,191,186,179,167,166,181,179,195,199,196,197,197,198,199,199,199,200,199,198,197,194,188,187,188,182,183,187,198,198,186,176,163,155,165,155,190,200,196,197,198,199,200,201,200,195,187,181,182,183,184,193,193,181,172,173,177,171,159,145,138,140,150,167,199,201,195,196,198,200,200,198,195,189,180,170,167,170,172,168,160,145,134,130,133,144,152,161,173,185,194,199,202,201,196,197,198,196,195,194,192,191,179,160,138,128,122,112,111,113,120,151,183,197,201,203,204,203,202,202,201,201,195,194,193,190,188,189,191,191,186,167,127,97,86,90,114,151,183,202,204,205,203,202,202,203,202,201,200,200,194,189,187,187,189,187,191,193,188,158,120,91,84,90,115,188,205,204,204,203,202,201,202,202,202,201,200,200,186,186,187,187,186,190,196,194,168,126,106,90,85,91,93,119,180,206,204,203,203,202,202,202,202,201,201,200,188,188,186,187,188,192,193,193,180,151,112,85,83,96,95,88,101,173,206,204,203,203,204,204,203,202,201,201,193,190,187,189,192,192,193,202,200,170,122,86,79,92,106,103,92,104,193,206,205,206,205,204,203,202,202,201,191,191,190,188,191,195,195,204,194,155,113,88,84,85,91,97,97,88,171,208,206,206,205,205,204,203,202,202,192,191,189,188,189,191,190,194,185,145,106,87,87,87,80,81,87,109,186,208,208,207,207,207,206,205,203,202,193,189,185,183,180,182,185,189,185,156,111,79,82,90,92,89,83,142,177,183,185,187,189,189,188,191,200,205,190,187,186,184,182,184,188,194,195,165,112,80,72,81,104,91,86,102,105,108,110,111,112,122,153,184,208,210,186,190,189,186,186,190,192,198,190,152,101,83,81,75,84,94,96,100,98,98,99,121,148,176,201,205,213,216,188,188,184,182,181,177,175,180,160,127,99,89,86,82,83,100,112,108,115,130,162,199,211,198,189,193,196,206,182,176,172,172,165,157,154,154,135,114,101,96,92,83,86,100,128,171,194,201,207,201,195,193,185,178,186,191,168,169,163,156,148,142,140,135,119,103,98,98,96,92,105,150,204,220,215,207,197,183,175,176,180,172,166,169,145,149,146,137,131,123,114,111,110,101,101,101,109,139,189,220,217,205,201,196,182,167,163,164,171,167,159,162,107,112,113,110,102,98,98,100,102,102,102,136,188,219,223,219,208,197,192,193,171,151,156,157,160,163,158,157,83,84,90,93,94,98,101,102,102,101,149,202,219,217,211,203,193,191,191,189,164,135,145,151,149,157,153,151,90,92,99,101,98,100,101,101,101,155,209,204,205,195,199,193,181,184,190,190,160,123,131,143,145,150,148,152,97,97,99,99,98,100,100,102,159,209,199,189,190,190,195,183,171,174,186,188,160,118,116,133,139,144,150,147,98,97,98,98,99,98,112,167,207,202,190,180,187,189,192,176,163,164,179,188,162,119,110,125,138,145,154,141
15,110,120,127,134,139,141,144,149,154,157,161,165,169,172,174,177,179,181,184,185,186,187,188,190,190,190,192,191,112,121,128,135,141,143,145,151,156,159,163,167,169,172,176,179,182,185,186,186,187,189,189,191,191,192,194,193,113,122,130,138,144,146,147,152,158,161,164,168,171,174,177,181,183,185,186,187,188,190,191,191,191,192,194,195,114,124,131,138,143,145,147,154,159,162,167,170,173,177,179,182,184,187,188,189,190,192,193,192,193,195,195,196,115,125,133,140,144,144,148,156,160,164,168,172,173,177,180,183,186,188,190,191,192,193,194,194,196,198,197,197,116,126,135,142,145,147,151,157,162,167,170,172,175,179,182,185,186,189,190,191,193,194,196,197,198,198,199,199,117,127,136,142,144,148,152,158,163,168,171,174,177,181,183,185,188,191,192,193,195,196,198,199,199,199,200,201,118,128,136,146,197,177,163,161,163,169,172,177,179,184,184,188,191,192,194,196,197,197,200,200,201,201,201,202,119,131,134,158,220,185,174,172,167,176,175,174,173,177,185,191,192,194,196,197,197,199,199,201,202,203,203,204,121,131,138,146,174,173,166,160,160,180,179,175,169,156,167,177,182,189,195,197,201,204,203,203,204,205,205,205,121,131,140,147,150,153,151,145,151,165,167,168,167,169,175,168,171,175,185,186,178,187,202,207,204,206,207,206,124,133,142,149,153,156,159,164,166,167,164,156,155,165,170,164,160,158,177,187,177,165,156,190,214,206,208,209,124,135,143,149,154,156,160,167,172,176,180,177,174,171,164,155,146,156,175,185,193,164,156,144,182,215,209,211,124,135,144,150,155,157,162,167,172,177,181,185,189,190,190,182,174,186,184,179,185,178,166,171,142,174,217,209,127,137,146,151,157,160,162,168,173,178,182,186,188,194,192,202,227,206,178,142,183,183,163,183,166,133,179,222,128,137,146,153,157,158,163,169,174,179,184,187,206,182,162,177,204,198,162,112,177,183,167,182,180,159,125,181,128,139,148,154,159,159,164,170,176,181,183,193,212,179,151,182,221,209,160,141,162,171,178,179,172,158,136,121,130,141,148,156,160,161,165,171,176,182,186,193,192,160,154,191,221,203,155,150,151,149,164,169,149,150,142,129,130,141,150,158,160,163,166,172,177,184,187,189,197,197,164,184,207,182,160,159,161,158,163,166,140,134,142,138,131,141,151,157,159,162,167,173,179,184,188,189,201,241,206,136,121,123,138,164,171,168,174,170,148,140,142,139,132,142,152,158,160,163,169,175,180,184,190,192,195,239,217,153,81,57,50,70,123,167,169,166,154,155,145,132,132,143,153,159,161,163,169,175,181,186,191,193,194,239,216,147,100,92,68,42,46,133,158,150,141,127,109,94,133,143,153,159,161,163,170,177,181,187,191,195,193,234,216,126,132,134,121,89,66,74,110,100,87,73,69,62,134,144,153,159,161,163,170,178,183,188,191,196,193,227,227,136,165,161,150,146,117,81,75,72,70,66,67,65,133,144,154,160,162,165,170,177,183,187,191,196,194,219,241,145,157,172,157,135,98,77,76,74,75,69,69,65,133,144,154,159,160,163,169,177,183,187,191,194,196,204,241,151,154,219,193,123,86,72,75,75,74,69,68,66,134,145,154,160,161,164,171,178,183,188,191,196,197,206,225,130,170,225,203,115,78,72,74,74,72,69,70,69,135,146,154,160,162,166,172,178,183,188,192,197,198,208,182,154,212,213,214,119,87,80,78,71,69,70,71,71
15,173,151,160,121,110,174,53,40,87,83,84,88,92,95,109,124,136,146,151,155,162,168,173,176,180,182,185,189,171,155,167,114,125,173,41,50,88,84,86,89,93,96,111,126,139,149,153,158,165,171,176,179,183,186,189,192,170,157,169,106,140,165,31,61,88,84,88,92,93,98,113,127,142,151,155,159,167,174,179,183,186,189,192,195,168,160,169,99,156,153,22,68,87,83,85,87,90,97,117,132,144,154,157,161,170,178,182,186,190,193,196,198,164,161,166,95,171,136,26,83,94,96,106,116,119,102,114,129,145,158,162,166,174,180,191,195,193,195,200,202,163,173,161,125,152,138,121,125,121,129,133,127,117,112,111,113,119,129,138,145,143,134,141,173,203,205,202,206,170,179,143,131,134,128,124,110,111,112,108,105,105,119,121,119,118,116,115,129,133,123,110,94,125,187,217,212,173,158,121,118,113,113,107,102,106,107,108,106,111,124,125,121,114,110,113,128,131,128,122,105,87,88,145,207,173,175,135,109,125,96,93,97,102,106,105,106,116,124,121,116,111,111,123,128,120,126,119,110,105,97,81,100,177,185,128,130,196,56,48,94,86,89,91,94,99,113,127,143,126,121,122,123,125,126,120,112,111,116,101,85,178,189,118,146,190,41,52,95,86,87,91,93,93,107,134,184,160,137,129,122,114,122,114,116,112,130,113,97,178,188,113,161,180,31,61,95,86,87,91,93,96,105,166,171,144,113,105,114,94,94,111,119,122,141,122,107,181,187,107,174,167,24,70,94,85,88,91,94,92,127,187,147,132,103,61,72,60,51,136,141,142,137,115,112,183,183,105,186,153,19,78,92,86,88,90,93,94,176,173,133,116,97,58,44,35,50,159,161,154,128,105,111,185,178,104,198,139,17,85,92,87,88,91,86,122,207,169,128,109,75,44,46,29,77,167,170,166,131,102,104,193,173,109,205,121,18,90,91,87,88,91,87,114,191,178,141,112,66,36,44,52,90,158,179,173,135,104,100,199,166,115,218,108,22,94,90,87,88,90,93,91,165,198,168,126,81,33,63,97,87,142,179,157,128,106,91,204,159,125,224,94,26,99,89,86,86,90,93,95,129,208,192,145,88,45,37,72,135,161,156,126,116,103,79,209,146,137,224,77,32,98,87,84,84,87,88,99,115,190,207,169,145,133,130,154,155,138,116,99,100,97,82,212,138,152,220,62,40,97,85,84,83,86,87,98,117,153,211,192,175,166,166,170,132,100,93,92,90,94,96,211,128,166,212,49,49,97,84,83,82,84,87,99,117,175,190,148,138,141,164,167,120,85,86,78,85,93,86,209,123,183,203,36,56,95,82,81,81,85,88,96,130,206,154,136,140,136,158,162,123,87,82,145,125,66,65,205,117,196,188,28,64,92,77,75,75,77,80,87,138,191,144,130,125,121,142,148,126,81,112,250,143,68,67,200,119,202,184,133,128,136,127,123,119,116,118,121,137,163,145,140,154,120,97,132,131,97,126,240,144,77,71,191,121,206,188,145,107,124,123,123,122,126,130,129,123,118,128,126,177,173,101,100,138,118,130,153,117,83,76,186,125,211,183,139,110,125,123,124,124,124,125,127,127,129,131,124,134,193,150,108,134,133,132,134,110,72,71,177,133,216,180,138,117,125,125,127,127,126,129,130,131,133,133,131,129,144,150,129,135,135,134,138,112,69,45,167,142,214,178,138,119,127,124,126,127,127,130,129,131,133,133,132,134,132,132,133,133,134,133,136,110,79,59
15,104,108,112,115,87,77,79,82,70,30,84,92,29,0,27,46,47,53,57,61,68,82,91,96,103,107,111,115,105,109,112,114,85,81,80,86,63,37,89,94,18,0,33,45,48,53,58,63,69,83,92,96,104,108,112,115,106,110,114,113,85,84,83,90,53,46,92,89,8,0,37,45,49,53,58,64,69,84,92,96,103,108,112,116,108,111,115,109,83,81,81,94,45,56,94,87,0,0,39,44,48,54,58,63,71,84,91,97,104,108,113,117,110,113,116,109,106,97,87,87,46,64,94,78,0,0,41,44,50,54,59,65,73,87,92,99,106,110,114,117,109,114,117,111,102,104,102,96,88,84,87,72,26,25,45,46,48,52,59,64,74,88,93,100,106,110,114,117,111,115,119,104,83,78,67,82,87,89,92,97,97,87,83,77,72,67,63,64,76,91,94,101,107,110,115,119,112,116,121,101,87,83,60,59,66,60,72,99,92,92,90,92,101,101,83,70,68,74,95,101,108,111,116,120,113,117,121,100,91,91,96,75,38,65,54,78,82,77,73,79,101,115,104,82,75,46,68,105,107,112,115,120,114,117,120,98,91,91,100,70,39,102,95,38,47,75,61,83,111,114,104,96,91,63,43,90,111,113,116,120,115,119,121,95,93,92,103,61,44,102,106,13,0,38,68,121,111,114,117,114,106,84,58,52,109,114,117,120,115,120,121,95,96,92,106,63,56,102,102,2,0,45,85,133,85,112,123,128,124,94,65,42,70,119,117,121,117,121,116,97,97,105,97,81,86,83,84,10,48,110,99,70,75,115,125,133,122,93,70,57,39,97,123,120,118,123,115,96,102,109,88,94,107,104,80,63,81,82,72,38,65,142,118,105,107,94,80,62,43,52,121,121,119,124,112,96,104,93,65,80,105,108,80,66,78,75,77,83,96,98,78,80,94,95,78,60,52,33,84,129,119,125,111,99,104,104,79,61,92,93,68,73,84,81,86,96,97,77,57,63,80,80,68,56,52,41,41,112,120,125,109,103,105,106,99,40,95,68,53,68,75,78,85,96,87,66,54,55,64,66,66,64,56,49,36,54,120,125,109,106,106,111,87,42,114,53,30,41,56,60,76,87,85,67,55,57,61,60,66,70,60,55,46,35,122,125,108,107,106,114,79,72,76,38,29,12,63,74,51,71,72,64,61,63,63,63,66,67,60,54,49,41,122,123,107,109,107,111,107,63,36,31,20,0,113,120,47,65,66,61,65,71,73,71,69,64,61,58,50,44,122,123,108,111,106,118,100,41,23,50,12,0,79,121,72,67,95,86,92,94,84,75,68,60,59,61,57,46,124,121,106,113,110,116,61,29,56,108,6,0,35,85,98,55,66,97,93,90,83,71,64,58,57,59,61,54,126,119,106,116,111,124,45,70,122,108,0,0,43,47,65,49,33,71,86,77,74,66,61,60,61,63,62,59,126,120,110,118,116,126,41,98,128,104,0,0,46,51,47,50,53,67,100,74,63,63,60,63,69,68,60,57,126,117,113,119,119,124,36,102,132,97,0,3,49,49,50,52,57,56,87,111,81,54,55,55,62,68,68,60,124,115,116,120,121,117,36,112,132,83,0,8,49,47,48,51,55,59,60,105,126,93,70,53,56,68,78,66,124,116,119,122,125,108,42,120,135,70,0,15,51,47,47,49,55,58,64,78,119,93,76,86,83,88,82,72,126,120,122,122,129,99,43,124,137,57,0,19,51,45,47,50,54,58,64,77,86,82,95,105,96,98,97,91
22,149,154,158,160,162,164,167,170,172,172,174,175,176,176,174,175,178,176,176,175,173,175,173,172,170,169,168,168,153,157,160,163,165,167,170,172,175,172,179,179,178,177,185,170,160,180,177,178,177,176,177,175,173,171,170,170,156,160,163,165,168,170,172,175,177,190,152,173,183,176,209,164,108,187,179,179,180,181,178,178,176,175,174,172,156,162,165,168,172,173,175,176,183,214,113,155,191,180,212,159,115,188,181,184,160,164,183,177,177,177,176,177,159,164,168,172,174,177,178,178,186,206,119,148,194,183,203,149,122,191,182,190,136,122,191,179,181,179,179,178,162,166,170,173,176,178,180,181,184,210,135,135,198,187,196,153,131,195,188,200,130,127,194,182,184,181,181,180,163,167,172,175,178,180,183,186,184,214,158,129,197,189,202,163,134,195,194,202,123,145,196,185,185,183,184,183,166,170,174,179,181,183,186,189,186,216,181,125,191,194,194,157,132,196,206,201,115,167,194,187,188,186,185,185,169,173,178,181,183,185,187,190,187,215,185,113,179,198,192,152,133,201,214,193,113,184,195,190,190,189,187,187,169,175,179,181,184,187,190,192,188,220,213,123,159,203,206,148,135,210,214,164,113,197,194,193,192,192,189,188,171,176,180,183,186,190,192,195,191,209,213,130,152,208,207,137,146,224,222,133,129,207,193,195,194,193,192,190,174,178,182,186,188,190,194,196,215,203,189,152,146,181,201,129,171,231,206,111,165,207,197,198,196,195,194,192,174,179,183,187,190,193,194,202,243,193,206,222,198,144,144,199,201,210,172,106,193,204,201,199,198,197,196,196,175,180,184,189,193,195,195,207,233,182,136,228,224,168,95,159,178,183,134,120,209,201,202,201,200,199,198,197,178,184,187,191,196,198,197,213,217,205,111,120,213,200,143,88,122,138,98,147,214,202,203,202,201,201,200,198,181,186,189,192,197,201,197,228,224,182,135,71,135,225,189,122,86,95,82,178,213,204,204,202,202,201,201,200,183,187,191,194,198,203,199,234,209,160,127,129,126,208,226,166,120,90,83,192,213,207,205,204,204,202,201,201,183,189,193,196,200,203,201,239,223,170,151,162,166,238,220,180,149,90,84,206,212,209,208,207,205,203,202,202,184,191,195,198,202,204,205,243,216,167,155,180,215,253,205,167,137,79,93,216,211,210,210,208,207,206,205,204,186,192,197,200,204,207,207,242,221,185,177,178,237,239,197,146,123,75,126,225,210,213,211,210,210,208,206,204,187,193,199,201,205,209,209,239,228,196,186,178,248,222,180,136,112,72,159,226,212,214,212,212,211,209,207,205,188,194,199,203,207,210,209,235,225,204,196,186,236,202,165,128,103,70,172,226,214,216,215,213,212,210,209,208,190,195,200,204,207,211,210,228,230,213,208,188,225,185,154,122,93,71,186,225,216,217,217,215,214,212,211,211,190,195,201,204,208,213,213,219,229,217,213,187,224,176,146,111,90,81,201,223,217,218,218,217,216,215,213,212,192,198,202,206,210,213,214,218,229,212,196,169,202,166,146,118,83,105,224,221,220,220,218,217,217,216,214,213,193,198,203,208,211,214,216,218,233,201,171,169,202,152,157,125,69,158,233,221,223,221,220,219,217,217,216,214,194,199,204,209,212,215,216,220,247,220,197,194,204,146,166,99,80,215,227,224,223,222,222,222,219,218,217,215,192,199,204,208,212,215,215,219,249,232,216,209,193,144,153,79,120,232,225,224,223,223,222,222,221,219,218,216
13,168,170,171,172,173,175,175,175,174,174,174,174,175,174,173,172,172,171,169,169,167,166,166,164,164,164,163,161,171,172,172,174,175,176,178,178,177,176,175,176,176,175,175,173,172,171,171,171,169,168,167,166,165,164,164,163,173,174,175,175,178,179,178,180,180,178,177,177,177,176,177,175,173,173,173,174,171,171,169,168,167,166,165,165,174,176,178,178,179,180,179,180,179,179,180,178,177,178,179,177,177,179,177,174,173,171,171,171,170,169,167,166,175,177,178,179,180,181,181,181,180,179,181,180,180,180,178,177,160,149,175,176,173,181,173,171,171,172,170,168,177,180,181,181,182,182,184,183,183,186,184,183,178,179,183,176,133,75,94,172,138,129,171,176,172,173,172,170,179,180,182,182,185,186,184,189,174,150,183,189,151,124,175,163,126,81,51,123,119,65,98,181,173,173,173,171,180,181,184,186,186,185,191,200,175,106,122,182,147,97,153,172,121,92,50,108,113,86,55,150,182,173,173,172,182,184,187,187,188,184,217,207,175,118,118,176,137,104,172,200,135,92,62,140,126,96,42,139,186,174,175,174,184,186,187,188,188,188,225,211,180,119,131,182,133,98,204,206,130,81,102,176,122,79,46,153,184,177,176,175,185,187,189,189,186,212,224,195,183,111,124,177,139,83,141,173,98,70,84,115,79,50,56,173,182,179,179,178,186,189,191,188,200,222,194,166,137,82,120,171,129,86,34,67,99,92,80,79,85,53,88,190,180,181,181,179,188,189,191,187,217,221,179,130,94,62,113,134,107,61,12,28,78,75,99,123,125,89,104,195,181,183,182,180,189,191,191,192,233,229,205,158,120,57,92,105,81,80,110,152,156,146,150,134,144,122,80,177,187,185,184,182,190,192,191,203,239,224,207,192,162,100,97,141,160,194,200,191,181,170,160,121,109,105,70,144,197,186,186,184,193,194,191,209,237,223,211,197,166,150,156,191,206,197,189,181,174,158,144,123,99,102,75,116,200,186,187,185,195,195,191,213,235,224,212,197,173,172,184,197,207,194,187,181,171,154,135,123,106,98,73,96,199,187,188,186,194,194,192,214,232,221,212,195,177,174,184,195,208,196,187,181,161,140,128,114,94,89,54,124,199,188,187,187,195,195,192,208,229,220,207,186,167,164,178,188,193,189,183,168,145,131,116,97,84,50,93,196,190,190,189,188,193,199,208,205,216,209,187,165,156,172,179,181,174,177,171,154,139,119,98,81,49,59,186,196,192,191,190,189,203,176,125,192,206,192,180,172,165,178,184,174,163,155,148,129,109,90,70,42,66,175,200,193,194,192,191,189,204,118,40,94,210,206,201,198,176,165,179,165,138,123,126,106,85,56,62,122,191,201,195,196,194,194,192,191,147,73,81,59,109,199,207,198,174,151,162,146,115,105,103,75,45,94,187,209,198,195,198,196,195,195,194,192,90,69,71,72,56,90,148,146,141,138,154,127,100,91,71,45,133,207,204,197,200,200,198,197,196,195,194,193,80,70,65,66,74,24,33,52,52,55,71,72,68,61,38,141,219,202,200,202,201,201,198,198,198,196,195,194,72,64,63,61,72,49,9,42,40,32,26,25,25,28,26,159,206,205,203,202,202,200,199,200,199,197,196,194,68,65,60,57,67,58,1,26,36,28,28,25,23,18,0,42,208,203,202,202,202,200,199,200,199,197,195,194,67,62,60,49,61,53,0,17,29,25,26,21,23,15,0,139,214,200,202,201,201,199,199,198,197,195,194,193
4,96,104,114,121,124,127,130,133,136,137,139,142,143,146,148,149,151,153,155,157,158,159,160,161,161,163,165,165,97,105,115,122,123,128,132,135,137,138,141,144,143,144,145,149,155,153,155,157,158,160,160,161,162,163,164,165,99,107,115,121,125,130,133,135,139,138,137,140,148,158,139,133,137,157,154,159,161,160,162,163,162,163,162,164,100,108,118,122,127,132,134,136,138,150,153,133,130,163,174,146,106,113,140,120,145,163,161,164,164,165,164,164,102,110,120,124,127,132,134,135,135,173,184,167,133,104,168,144,106,75,136,96,98,169,160,165,165,166,166,167,102,111,120,125,130,132,134,155,158,144,122,168,139,88,129,135,94,70,120,102,92,167,163,165,165,166,167,168,105,113,122,126,131,129,149,194,173,137,90,140,134,84,100,150,108,70,134,121,85,160,165,167,166,167,168,168,104,115,123,126,130,127,164,171,172,134,89,113,152,91,72,155,124,59,148,129,74,158,168,167,168,168,168,169,105,117,124,127,131,128,169,169,149,155,123,83,159,117,37,118,156,93,109,114,126,116,151,170,167,169,170,170,107,116,123,128,134,129,169,169,129,142,125,57,101,108,54,100,162,130,106,113,128,106,120,174,167,171,171,172,109,119,126,128,134,129,170,176,155,130,101,82,72,99,92,109,133,134,131,118,110,131,109,162,172,171,171,171,111,120,127,130,135,133,185,176,146,128,113,90,93,119,101,121,136,133,121,117,138,153,110,139,178,171,173,173,112,121,127,131,135,138,193,174,138,118,102,87,99,115,118,131,148,125,92,137,170,156,129,118,178,173,173,174,113,123,128,131,133,144,197,168,140,120,104,96,105,114,135,138,151,164,164,143,146,158,137,104,166,178,173,173,114,123,128,132,132,152,204,172,143,121,112,98,108,122,143,150,160,177,174,164,155,136,125,88,144,183,175,176,117,123,129,134,132,150,208,175,149,130,110,99,108,124,149,161,173,179,174,164,154,132,108,80,138,185,176,179,119,124,128,134,133,149,210,181,159,137,110,106,110,125,157,172,179,181,173,164,146,129,106,78,158,182,177,179,120,125,128,134,135,151,213,182,164,144,124,118,117,129,166,184,185,179,166,155,142,122,95,94,182,177,179,179,120,125,128,134,136,149,206,184,170,152,140,121,125,144,172,193,188,178,165,149,133,113,77,129,188,176,180,179,120,126,129,136,138,142,194,189,178,161,153,136,130,160,167,189,186,175,164,143,124,97,79,169,182,179,180,180,120,125,130,136,139,137,182,193,182,169,159,149,135,154,163,181,181,171,159,139,122,85,111,188,177,179,180,180,121,125,130,136,140,139,167,202,185,176,163,150,139,149,160,179,176,162,155,138,119,84,156,184,179,180,181,181,122,125,130,136,140,141,158,211,188,175,160,145,142,147,161,173,165,151,141,136,108,108,185,180,180,180,181,181,123,126,130,136,141,142,156,217,182,168,160,150,149,152,160,162,148,140,128,117,100,165,182,180,181,181,181,181,122,126,130,136,142,142,158,209,172,169,166,163,158,153,155,157,144,133,121,89,147,183,179,181,181,181,181,181,123,127,131,137,141,140,161,203,174,175,172,168,167,156,150,151,140,126,99,102,185,176,180,180,182,182,182,182,122,126,131,137,142,141,163,205,190,177,167,171,175,157,142,139,133,118,80,135,185,176,179,181,182,182,182,182,121,127,132,137,142,142,164,202,196,176,170,178,176,151,139,133,132,107,77,162,183,178,181,182,182,182,183,183
8,174,177,179,182,184,182,185,186,186,185,186,186,187,185,184,184,182,182,181,180,179,178,177,176,175,175,174,172,176,178,182,177,166,187,186,187,186,186,186,187,187,186,186,185,185,183,182,180,180,180,180,178,177,176,175,173,178,177,190,178,117,178,191,188,187,187,187,188,189,188,187,187,185,184,185,184,182,182,182,179,179,178,177,175,179,179,193,191,107,154,197,189,191,190,189,190,189,189,189,188,187,186,186,185,183,183,183,180,180,179,177,177,179,182,189,205,112,138,201,190,193,191,190,190,191,190,189,188,186,187,187,186,185,183,183,182,182,180,179,179,181,185,187,197,117,125,203,192,195,195,197,191,193,196,193,190,189,189,188,187,186,184,186,185,183,183,181,179,183,187,187,204,155,113,198,196,193,180,179,198,189,171,182,197,195,192,189,190,188,186,187,186,186,185,183,180,185,187,185,207,173,99,183,199,211,187,139,173,208,148,121,183,177,190,194,189,191,189,188,188,187,185,183,182,186,189,188,202,181,119,149,205,226,222,166,116,203,169,163,122,121,123,189,196,191,192,189,190,189,186,184,182,189,191,191,200,208,155,135,193,219,229,194,109,158,174,181,163,147,130,143,189,193,192,191,192,190,187,185,185,191,192,192,196,212,152,147,182,186,217,198,119,121,165,142,192,194,197,161,113,190,193,191,191,191,189,186,185,190,193,195,196,209,191,168,197,183,188,201,119,96,144,90,163,182,196,171,97,177,198,191,192,192,191,189,187,192,194,198,196,220,217,158,160,180,160,199,154,93,119,90,124,179,202,174,98,176,200,192,193,193,193,191,188,193,196,199,196,217,192,139,138,148,130,178,198,113,94,82,135,201,215,179,98,177,202,193,195,195,194,193,190,194,197,200,196,216,215,169,137,129,122,140,154,119,103,76,149,207,215,176,98,178,203,195,197,197,195,194,191,194,198,201,197,222,222,185,146,124,124,120,169,168,122,143,186,201,204,157,89,166,207,197,197,197,196,194,191,195,198,201,198,226,220,190,163,127,108,135,191,190,193,203,193,176,167,131,82,154,210,198,198,198,198,195,192,194,198,202,201,229,220,195,177,150,111,129,183,217,224,212,187,154,130,109,83,185,205,200,198,197,197,195,193,196,199,202,202,230,221,199,179,163,128,127,194,230,223,206,178,137,109,79,125,212,200,201,200,199,197,195,194,198,200,204,203,226,225,207,187,174,141,140,209,226,212,182,157,120,88,81,194,206,202,202,200,200,200,197,195,199,201,206,204,220,228,211,193,185,150,145,214,212,188,159,132,107,68,145,216,202,204,204,201,202,201,199,197,199,201,204,205,216,229,216,197,181,149,149,202,198,175,149,119,89,88,204,206,205,204,202,201,201,200,199,197,197,200,203,203,216,232,214,192,167,132,155,186,167,160,143,112,67,159,215,202,204,204,203,200,200,200,198,196,199,202,206,200,220,228,204,183,153,142,160,172,148,139,136,81,103,213,204,205,206,205,202,201,201,199,197,196,199,202,206,198,232,225,205,186,164,158,164,158,140,131,109,82,190,211,205,206,205,205,203,202,199,198,205,202,199,202,201,209,235,219,207,190,167,169,161,137,131,116,77,155,216,205,207,206,204,204,202,206,209,206,166,110,199,204,195,217,226,198,190,178,164,165,150,120,119,88,109,211,208,208,206,206,209,211,208,187,149,99,53,38,200,204,191,225,220,184,164,155,153,165,143,103,114,72,170,216,208,209,206,198,181,164,125,74,38,25,31,36
1,170,173,177,177,180,183,184,185,186,187,187,188,189,188,188,189,189,188,188,188,189,188,189,188,188,187,186,185,173,176,180,180,183,185,186,187,188,189,190,190,190,191,190,191,192,192,192,191,191,192,191,192,191,190,189,189,175,179,182,184,186,188,190,190,191,192,192,193,193,192,196,196,193,196,195,194,195,195,195,195,194,193,192,191,178,181,185,186,189,191,193,193,194,195,195,195,197,200,178,186,199,196,197,196,197,197,197,197,196,196,194,193,181,184,187,190,193,194,195,196,197,197,196,199,190,207,170,145,213,201,197,198,198,199,199,199,197,197,197,195,182,186,190,193,195,197,198,198,198,199,197,214,184,172,182,125,172,184,203,200,202,201,202,201,200,199,198,197,185,190,193,196,197,199,200,200,200,202,199,218,184,166,194,119,158,136,206,203,204,204,205,204,203,202,201,199,189,192,194,198,200,202,202,204,204,204,198,221,193,162,210,137,169,135,186,210,205,205,206,206,205,204,203,202,192,194,196,200,201,203,205,205,205,211,186,181,213,151,209,149,167,154,164,215,206,208,207,206,207,206,205,204,193,197,199,202,204,204,205,208,206,218,184,152,219,146,196,163,179,195,147,212,210,211,211,210,209,208,207,205,195,198,200,203,205,206,208,210,207,222,189,157,216,151,198,182,162,208,147,196,216,211,212,212,211,210,209,208,196,199,201,204,206,208,210,211,209,227,190,164,234,167,190,196,147,212,164,173,222,213,213,212,212,212,211,210,197,201,204,205,208,209,211,213,211,224,188,156,228,151,155,197,133,216,186,155,222,214,215,215,214,214,213,211,199,203,205,207,209,211,212,215,212,225,203,140,200,161,155,187,155,197,179,147,212,218,217,216,215,215,214,213,199,203,206,208,210,212,214,215,214,230,193,139,176,219,179,177,209,180,158,138,194,224,216,217,218,216,216,215,199,203,207,209,211,214,216,216,216,224,199,195,159,189,193,217,210,170,157,140,158,229,217,219,220,218,217,217,201,204,208,211,213,214,216,216,220,222,201,195,156,172,225,224,206,214,175,138,128,221,221,220,221,219,218,218,201,205,208,211,214,216,216,216,222,229,189,171,179,204,200,172,169,240,226,185,120,202,226,221,223,222,222,220,201,205,209,211,214,217,216,217,223,242,192,165,165,158,147,153,194,224,223,192,147,178,232,221,223,222,222,221,202,204,208,211,212,214,216,216,220,249,210,161,173,172,194,225,237,214,204,174,129,164,233,221,223,222,222,223,203,205,208,211,213,214,217,217,218,244,233,169,189,181,222,241,236,221,195,168,112,164,234,221,223,222,222,223,203,205,209,211,214,216,217,218,218,242,246,185,201,185,214,246,244,222,184,156,110,172,235,222,224,224,222,222,202,205,208,210,213,215,217,219,217,234,245,205,215,195,199,250,243,211,177,145,111,196,232,224,225,224,223,222,205,208,212,213,215,217,219,219,218,224,241,226,216,205,184,244,236,203,171,135,112,213,228,225,225,224,224,224,189,194,198,204,207,212,214,215,219,217,237,241,218,201,173,226,229,192,160,127,127,233,233,235,230,225,224,225,124,126,128,132,137,137,140,143,147,144,220,234,207,193,170,199,212,180,149,128,136,197,194,194,211,232,227,222,126,126,125,125,126,126,126,126,128,117,199,225,201,189,167,182,202,176,141,128,123,119,143,189,216,215,224,221,126,130,136,134,133,132,130,130,133,123,196,224,204,184,172,181,200,170,127,122,143,196,234,236,213,189,188,218
10,182,186,189,193,195,198,200,202,202,203,204,206,207,206,207,207,207,207,207,208,207,207,208,207,207,207,205,204,185,188,192,196,198,201,203,206,206,207,208,209,210,210,210,209,210,210,210,210,210,209,211,210,210,209,208,208,189,192,195,199,202,204,207,209,210,210,211,212,214,212,212,216,214,213,214,214,212,212,213,214,214,212,212,211,191,195,198,202,205,208,210,212,213,214,216,215,215,218,215,179,217,218,217,216,215,217,217,216,216,217,216,214,193,197,201,204,208,211,214,215,216,217,218,218,217,221,231,157,190,227,217,218,218,219,220,220,220,218,218,216,196,200,204,207,210,214,217,217,218,220,221,222,222,220,235,202,156,222,222,221,221,223,223,222,222,221,220,218,199,202,206,209,213,216,218,220,221,221,222,223,226,224,232,233,170,196,231,223,223,224,225,225,224,224,223,221,200,204,209,212,215,218,220,221,223,224,224,224,219,218,235,255,209,166,231,226,226,227,227,227,226,225,225,224,202,206,210,215,218,220,222,223,224,226,225,233,217,150,201,255,240,160,204,235,229,231,230,230,230,228,226,225,203,208,213,217,219,222,224,226,227,228,228,233,237,174,137,242,254,180,170,240,230,232,232,232,231,231,230,229,206,211,215,217,221,224,226,228,230,231,231,229,254,241,183,185,239,206,149,237,232,234,235,234,234,233,232,231,207,212,216,219,222,225,227,229,232,233,232,245,226,255,234,152,170,227,137,224,237,236,237,236,236,235,233,233,210,213,217,220,223,227,230,230,231,233,243,246,182,191,237,168,123,166,133,205,244,235,238,237,237,238,237,237,210,213,217,221,224,228,231,233,230,249,255,228,179,98,194,206,136,106,111,156,248,238,239,239,238,238,239,238,210,214,218,222,225,230,232,233,231,250,255,188,129,61,133,203,167,114,102,118,228,245,240,240,239,239,239,239,211,216,219,224,227,231,232,236,247,225,255,215,144,68,108,190,193,159,115,108,205,250,240,242,242,240,239,239,212,215,221,225,229,232,232,239,255,245,226,255,224,113,122,218,209,187,125,99,193,254,241,244,245,243,241,240,213,216,220,226,230,232,234,236,238,255,233,211,243,190,178,239,215,191,134,94,189,255,243,245,245,243,243,242,211,216,220,224,228,231,232,238,214,223,225,162,215,221,154,244,216,182,144,97,182,255,244,246,245,244,244,244,213,216,221,224,227,231,231,236,249,216,198,174,152,202,226,255,225,181,135,102,181,255,243,245,244,243,243,243,213,216,221,224,227,230,231,234,255,248,201,185,179,255,255,252,219,170,131,105,190,255,243,245,244,243,243,244,213,217,221,224,227,231,233,233,248,255,222,216,213,255,255,238,207,154,130,109,181,255,244,245,245,244,244,244,214,218,222,225,228,230,232,234,241,255,233,245,220,255,248,218,193,156,147,121,169,255,244,246,245,245,245,244,212,218,224,227,232,235,237,240,243,249,247,255,222,237,243,212,197,169,173,129,182,255,246,248,248,247,246,245,144,150,155,157,163,170,174,175,177,241,255,252,233,209,230,213,212,185,171,125,184,242,234,240,241,244,244,246,129,129,127,124,125,126,128,130,122,189,255,236,223,206,208,219,230,188,154,127,132,141,143,146,150,153,153,157,135,136,136,140,142,141,139,139,138,143,232,218,212,205,203,223,229,184,146,125,140,140,137,138,137,136,134,134,133,134,134,137,137,140,138,136,140,129,205,224,210,209,217,212,218,185,142,125,151,148,145,151,149,150,151,152
20,177,179,180,179,180,183,182,184,184,183,184,183,183,183,182,181,179,181,177,175,176,174,171,170,167,166,164,161,182,183,185,184,185,187,187,187,188,187,187,187,187,187,185,195,181,136,188,184,179,178,176,173,172,170,167,165,187,188,188,189,190,191,190,191,191,192,192,192,192,192,189,200,194,109,150,175,186,181,180,178,177,174,172,170,191,192,194,194,194,194,195,196,197,198,197,195,196,196,194,199,196,103,85,115,179,188,184,182,180,178,176,174,195,196,197,197,198,200,200,201,201,202,200,200,201,201,198,209,191,87,125,125,143,199,187,187,185,183,180,178,201,202,202,202,202,204,205,204,205,204,204,204,206,206,201,214,186,84,154,148,113,202,191,191,188,186,183,181,204,205,205,206,207,207,209,208,209,208,209,209,209,209,204,223,194,95,160,159,106,201,196,195,192,191,188,185,208,209,209,210,211,211,211,211,212,211,212,212,212,211,207,232,179,88,168,187,110,195,203,197,196,196,193,188,211,212,212,211,214,214,214,215,214,215,214,215,215,216,218,239,157,90,189,186,102,189,209,202,200,198,196,194,214,215,216,216,217,218,219,219,219,218,217,220,219,201,198,238,167,112,208,182,94,184,211,204,204,202,198,196,218,220,220,221,221,220,221,223,222,221,221,221,223,213,185,181,170,105,182,189,107,182,214,206,206,205,203,199,221,222,222,223,223,223,224,225,225,225,224,225,222,231,237,193,146,115,165,196,121,175,219,210,210,207,205,202,223,224,225,225,226,227,229,227,228,228,227,228,225,181,195,195,189,146,120,164,112,167,225,211,211,208,205,203,225,227,228,228,228,229,229,228,230,229,230,228,233,195,100,175,210,137,77,104,93,153,229,214,213,211,208,206,228,228,228,230,230,230,230,230,231,231,231,231,237,201,68,143,207,160,101,81,70,137,232,217,215,213,211,210,229,230,230,231,232,232,231,232,233,232,233,232,227,196,126,111,158,184,135,122,75,113,234,219,218,217,213,212,231,232,233,234,234,235,235,235,235,235,236,225,225,198,162,107,80,153,160,133,82,86,231,223,221,219,216,215,234,235,236,236,236,236,235,237,236,237,230,226,201,200,193,151,102,114,150,149,100,73,218,229,221,221,219,217,236,237,237,238,238,238,237,238,239,238,226,212,156,135,181,171,111,93,128,181,142,70,171,239,222,222,220,218,238,238,238,239,240,239,240,240,242,240,225,217,176,90,101,163,93,71,109,183,178,100,96,233,227,225,224,220,239,240,241,241,242,241,242,242,242,242,227,208,177,137,78,117,100,75,155,213,194,127,70,216,233,227,226,222,242,242,243,243,243,244,244,244,243,246,224,217,213,144,94,117,134,128,221,216,181,104,84,229,231,228,226,222,243,244,245,245,245,244,245,246,245,249,223,218,217,155,120,119,203,235,234,188,162,75,121,245,227,229,228,225,242,244,244,245,245,245,246,246,247,250,224,210,203,170,125,117,218,235,209,165,139,70,166,247,229,229,229,227,242,243,243,244,245,244,245,245,246,251,227,198,193,170,130,117,203,214,188,148,113,69,205,240,229,229,227,224,244,243,245,246,246,246,246,247,248,250,239,200,193,171,146,128,200,214,176,130,82,91,240,231,227,229,235,230,244,244,246,246,247,247,248,248,250,249,251,211,191,176,156,120,180,197,151,105,54,170,248,237,239,226,184,124,244,245,247,247,248,250,249,249,251,251,249,220,199,176,152,122,144,154,107,68,79,238,235,192,157,107,56,46
8,174,177,179,181,182,183,185,186,186,185,186,186,187,185,184,184,182,182,181,180,179,178,177,176,175,175,174,172,176,179,181,178,166,185,187,187,186,186,186,187,187,186,186,185,184,183,182,181,180,180,180,178,177,176,175,173,178,180,187,175,127,178,188,189,187,187,187,188,189,188,187,187,185,184,185,184,182,182,181,179,179,178,177,175,179,182,189,183,119,158,189,191,191,190,189,190,189,189,189,188,187,186,186,185,183,183,183,180,180,179,177,177,180,183,187,196,123,142,192,192,193,191,191,190,191,190,190,188,187,187,187,186,185,184,183,182,182,180,179,179,182,185,187,192,128,129,194,194,195,193,194,192,193,192,191,191,189,190,188,187,187,185,186,185,183,183,181,180,184,187,188,200,156,118,193,196,194,183,180,193,190,174,180,192,192,191,190,189,188,186,186,186,186,185,183,181,185,187,188,203,169,111,182,195,210,186,150,171,199,157,128,178,177,185,192,190,190,189,188,188,187,185,184,182,186,189,190,199,177,130,152,198,223,215,169,124,194,167,164,129,130,130,186,192,192,192,189,190,189,186,184,183,189,191,193,199,202,155,142,193,215,224,187,120,160,167,177,162,148,138,149,182,191,193,191,192,190,187,185,185,190,192,193,195,208,159,151,180,189,214,191,128,123,160,146,183,190,188,162,120,188,192,192,191,191,189,186,185,191,193,195,196,209,189,169,192,187,188,193,130,99,139,97,163,182,194,166,106,179,193,192,192,192,191,189,187,192,195,197,198,217,209,163,159,178,158,193,155,97,118,91,135,178,198,171,106,178,195,193,193,193,193,191,188,193,196,198,199,214,192,144,141,148,135,177,185,119,97,83,140,195,209,175,107,179,196,194,195,195,194,193,190,195,197,199,199,216,211,171,141,129,126,141,152,122,105,85,152,202,210,172,106,179,197,197,197,197,195,194,191,194,198,200,199,220,217,184,147,125,123,123,168,165,130,142,185,200,197,154,100,168,199,198,197,197,196,194,191,195,198,200,201,225,217,190,162,129,114,134,186,191,191,197,192,176,165,128,93,159,200,200,198,198,197,195,192,194,198,201,202,228,218,196,175,148,117,131,182,215,219,211,186,156,131,109,91,183,201,200,199,198,197,195,193,196,199,202,203,229,220,199,179,161,129,134,193,224,222,204,176,138,108,90,128,200,202,201,200,199,197,195,194,198,200,203,204,225,223,207,187,174,141,144,207,222,210,182,156,120,92,90,187,203,203,202,201,200,199,197,195,199,201,205,206,220,225,212,193,182,153,149,210,209,188,160,134,105,81,146,204,204,204,203,201,201,200,198,197,199,201,204,207,216,226,216,196,179,153,152,196,196,175,150,119,93,96,195,205,205,204,203,201,201,200,199,197,198,200,203,205,216,229,214,191,166,140,154,182,171,159,140,109,81,158,205,204,204,204,203,201,200,200,198,197,199,202,204,203,220,225,205,183,155,145,158,171,151,138,130,93,110,201,205,205,205,204,202,201,201,199,198,197,199,202,205,201,230,223,205,187,165,159,161,158,141,128,111,93,182,207,206,206,205,205,203,203,201,199,198,194,199,201,203,209,230,219,205,189,168,167,158,138,131,112,90,155,206,207,206,206,205,205,204,202,200,194,161,113,200,202,197,217,222,200,190,177,165,164,149,122,117,95,114,200,209,208,207,205,205,205,201,183,147,100,61,47,200,202,193,224,217,187,166,156,155,162,144,107,111,81,166,209,209,208,206,199,182,163,126,80,49,34,33,35
8,135,141,145,150,152,156,159,161,163,165,168,168,169,170,170,170,170,169,169,167,166,166,166,162,162,162,160,158,138,144,148,151,154,157,160,164,166,169,170,170,172,173,173,172,172,171,171,171,171,169,167,167,166,164,161,160,139,145,150,153,157,159,163,167,167,171,172,174,174,176,176,175,174,173,174,174,173,171,169,170,168,166,165,165,140,147,151,156,160,162,165,169,173,173,175,176,178,178,177,177,177,176,176,177,177,174,173,171,170,168,169,167,143,149,153,158,162,163,177,154,149,182,177,178,179,178,178,179,179,178,179,179,178,177,175,174,173,172,170,169,145,151,156,160,164,164,192,147,92,179,180,181,181,181,181,181,181,182,181,180,179,178,177,179,177,175,173,171,147,154,159,162,166,163,190,162,70,158,187,181,184,184,184,184,184,184,183,182,181,179,179,179,178,176,174,173,148,153,158,163,167,165,187,185,70,138,192,184,187,186,184,187,187,185,185,184,184,184,182,180,179,178,177,178,150,154,160,166,169,170,178,182,77,114,198,185,188,190,192,187,187,188,192,186,185,184,184,183,181,180,179,178,152,157,161,166,171,175,175,199,127,91,193,189,187,166,159,192,188,149,144,195,190,192,184,186,185,183,180,178,152,158,162,167,171,176,175,204,153,69,170,193,210,187,126,151,214,156,85,140,151,149,190,185,187,186,183,182,154,158,163,168,171,178,177,197,162,96,128,199,229,225,160,89,203,169,158,96,96,87,118,199,185,186,186,185,156,160,166,170,174,180,180,193,198,141,116,182,222,235,191,85,147,174,170,152,120,117,77,167,192,185,186,185,156,163,167,171,177,183,185,187,206,137,130,172,179,220,196,101,101,166,122,181,183,186,166,85,164,194,185,185,160,166,170,173,179,182,187,186,202,178,160,197,182,183,197,109,67,141,64,140,179,186,176,81,126,204,186,189,160,166,171,177,180,184,188,186,213,224,155,154,174,152,195,136,63,99,68,81,149,188,174,85,118,207,188,189,162,167,173,178,182,186,189,185,213,195,118,125,139,115,168,207,106,62,59,75,177,210,189,87,112,208,188,190,163,169,175,179,182,185,191,189,209,209,153,122,113,105,130,153,97,80,50,84,186,216,189,89,113,208,190,194,162,169,175,180,184,186,191,190,213,231,181,129,112,116,96,139,155,99,76,150,188,218,177,84,94,208,193,196,164,170,177,181,185,186,192,189,221,227,183,144,104,91,102,181,193,160,173,200,180,183,139,74,73,203,195,195,166,172,178,182,187,188,194,190,224,226,191,166,132,91,107,172,202,228,217,192,162,133,107,55,102,208,194,196,167,173,178,182,188,191,195,192,227,226,194,176,151,107,99,165,229,233,222,188,145,99,76,43,172,204,196,196,167,174,180,185,189,193,196,193,223,228,203,178,166,126,118,177,235,227,202,171,128,80,35,102,211,197,198,197,167,173,179,185,187,191,196,196,215,232,213,191,180,142,122,198,228,204,172,143,103,59,41,185,205,202,200,197,165,171,177,181,185,189,195,195,206,230,217,196,185,154,126,197,212,179,150,114,85,34,110,212,197,200,199,196,167,173,179,182,187,191,196,196,203,231,223,199,177,141,122,183,184,163,140,101,62,44,194,204,201,198,199,197,168,173,179,185,187,191,195,197,204,235,214,186,156,116,125,173,151,133,125,94,29,131,216,200,202,201,201,198,169,176,180,185,188,190,196,193,206,236,204,180,137,126,136,161,136,114,109,63,70,209,204,202,203,202,201,198
15,102,109,118,122,125,130,137,143,149,154,158,162,165,167,170,173,176,179,181,184,187,188,190,191,193,194,195,196,103,110,118,123,126,130,137,144,149,154,159,162,165,168,171,174,177,180,182,185,188,189,191,193,194,195,196,197,104,111,119,124,127,132,139,145,150,156,159,162,165,169,172,175,179,182,185,187,189,190,193,194,195,196,197,198,105,113,121,125,129,134,140,146,151,156,159,163,167,170,173,177,180,183,186,188,189,191,194,195,196,197,198,199,107,114,122,126,130,135,141,147,152,156,160,163,167,171,174,177,180,183,186,188,190,193,195,196,197,197,199,199,118,122,129,132,135,142,148,152,153,155,158,160,164,169,173,175,178,181,185,188,192,194,196,198,198,199,200,201,136,130,133,137,142,151,158,163,167,165,160,159,161,165,170,171,168,167,171,180,190,195,197,199,200,200,201,201,123,114,117,125,135,147,155,164,176,175,170,169,172,177,177,175,172,161,147,143,166,190,197,199,200,201,202,202,104,103,108,113,120,130,139,152,170,178,180,182,184,183,183,177,172,175,145,121,126,161,191,199,200,201,202,202,109,116,121,122,126,131,136,142,150,159,170,183,187,174,172,170,159,180,147,120,124,131,161,192,199,201,202,202,111,118,124,127,132,138,143,150,143,134,137,148,164,162,150,149,147,176,148,120,136,137,123,162,195,200,201,202,112,120,125,128,132,138,149,161,138,119,116,128,151,154,133,126,132,152,140,128,141,140,109,116,174,199,201,201,112,120,125,127,132,138,156,171,131,111,118,136,156,152,130,120,123,123,123,131,142,132,99,86,129,186,199,201,113,120,125,127,132,140,160,181,145,122,131,142,152,143,124,117,118,118,122,134,144,135,100,77,87,140,186,200,113,120,125,128,133,141,169,194,183,159,142,128,121,113,101,98,101,111,125,137,142,133,104,81,77,90,132,173,113,120,125,127,132,142,174,197,194,186,165,129,88,68,64,61,67,84,109,128,130,122,103,90,84,80,85,107,110,117,122,125,130,138,161,191,192,182,178,167,106,51,43,40,45,56,85,120,130,125,116,109,98,87,80,80,99,103,108,111,115,119,136,179,190,176,172,172,114,58,43,40,45,49,78,122,139,139,133,125,110,94,84,82,84,86,88,89,92,93,114,176,188,173,159,147,98,61,47,44,50,53,72,109,131,137,136,128,113,96,86,86,86,86,87,88,90,91,105,157,183,172,148,133,106,69,51,50,53,60,72,91,110,122,126,121,110,96,88,88,88,88,89,90,91,93,96,115,144,153,142,130,114,82,60,55,54,61,74,83,94,110,117,113,103,95,91,89,88,89,90,91,91,93,93,96,103,109,108,105,98,86,71,63,58,62,75,84,85,98,108,106,100,95,93,92,88,89,90,91,91,92,93,93,94,97,97,96,96,97,93,86,82,80,89,98,96,98,105,102,96,90,91,94,88,88,89,90,92,92,94,94,95,97,98,98,100,105,109,117,115,112,123,131,132,127,121,112,97,91,98,102,87,88,88,89,91,93,93,94,95,96,97,98,99,100,103,115,117,131,151,157,155,146,132,119,106,104,114,118,87,87,88,89,91,92,93,93,95,96,97,97,98,98,98,100,103,116,133,144,146,133,121,113,112,116,124,134,87,88,89,89,91,91,93,93,94,95,96,96,97,97,97,98,100,102,105,114,119,115,120,123,118,116,128,145,87,88,89,89,90,91,92,93,93,94,94,95,96,96,97,98,99,100,100,102,104,114,129,131,117,119,133,149
8,137,145,151,157,160,164,167,169,171,173,176,178,179,182,185,185,188,190,190,191,191,192,194,196,196,196,196,196,139,146,151,157,161,165,169,170,171,179,166,169,182,183,185,187,189,190,191,192,192,194,196,197,197,197,197,196,141,148,153,158,163,167,172,170,179,203,147,134,188,183,185,188,190,191,192,193,196,198,195,196,197,197,197,197,141,149,155,161,163,168,172,167,191,194,128,130,191,184,186,190,192,191,192,196,198,196,200,199,198,198,199,199,144,148,157,163,165,169,172,168,207,172,112,149,192,185,187,190,193,194,195,197,198,198,179,194,200,198,200,200,147,150,157,163,166,171,171,177,211,153,109,166,191,188,190,191,193,195,199,195,208,198,118,166,209,199,201,202,148,152,158,162,165,172,170,190,210,154,115,182,190,189,191,194,199,197,198,196,219,189,103,161,212,202,204,203,148,153,159,164,169,174,168,200,202,148,120,187,184,191,194,184,175,194,199,183,217,192,122,154,214,202,204,204,148,155,161,165,170,174,167,211,195,135,133,188,157,166,201,180,145,146,194,166,215,199,162,130,200,208,206,207,150,157,165,166,168,175,170,222,199,150,196,194,160,147,198,183,140,135,185,157,187,212,173,122,157,215,205,209,151,158,163,166,171,175,176,230,196,177,235,198,155,150,195,170,124,137,177,135,191,222,175,123,137,219,206,210,151,158,163,169,172,173,185,222,184,158,231,210,143,157,193,154,109,136,164,128,217,217,176,119,151,220,208,211,153,159,164,167,171,172,188,215,197,169,211,202,125,171,189,141,111,114,154,128,219,205,166,111,157,221,209,213,152,160,167,168,175,171,197,218,210,202,211,198,148,168,200,158,107,116,151,161,212,183,151,107,169,222,211,214,154,159,166,168,173,173,218,210,204,187,200,211,170,181,218,170,106,137,175,198,204,171,139,106,184,220,212,214,152,159,166,172,171,182,218,179,176,165,176,187,146,180,177,135,165,202,202,179,183,169,139,104,188,221,212,214,154,160,166,171,169,201,216,181,168,157,139,136,130,134,168,203,219,202,195,166,153,155,136,100,193,221,213,216,155,162,167,172,168,226,215,192,175,151,138,134,139,192,241,241,210,195,181,152,134,135,121,109,216,218,216,218,154,163,168,171,181,238,215,196,174,153,140,121,175,242,240,232,210,183,165,140,125,127,102,149,226,215,217,218,156,164,170,166,202,243,210,195,176,164,147,154,227,236,234,222,196,170,151,130,116,120,99,198,223,217,219,220,157,164,173,162,217,245,210,194,184,176,168,207,231,229,223,210,183,159,142,122,114,110,105,212,223,217,219,222,158,164,173,164,231,242,212,203,197,189,207,227,235,218,202,194,170,149,134,116,113,103,124,223,219,219,221,221,159,165,173,165,238,243,214,204,192,195,224,234,230,203,189,180,160,141,125,113,111,95,175,226,219,222,222,221,160,166,174,166,230,247,221,207,194,196,221,227,208,191,179,169,150,131,118,112,98,140,222,218,220,221,222,223,158,165,173,167,223,247,224,212,196,193,210,212,202,190,170,164,144,124,115,102,126,215,220,220,221,222,222,223,158,166,173,169,211,236,208,203,192,193,200,208,206,192,173,162,143,121,103,104,201,223,219,221,221,223,223,223,159,166,174,170,201,219,208,201,203,204,189,197,199,183,165,154,134,108,89,174,222,217,220,221,221,222,223,224,160,167,174,171,197,225,219,211,214,206,187,188,195,180,157,145,125,89,127,218,217,220,221,222,223,223,223,224
6,212,213,213,212,212,213,212,212,212,212,211,210,208,207,206,204,203,202,201,200,198,197,195,193,193,191,187,185,214,214,214,214,214,215,214,214,215,214,214,213,212,210,208,207,206,205,204,202,201,199,198,197,195,193,191,189,215,216,216,215,216,216,216,216,216,217,215,214,213,213,211,209,209,207,207,205,202,201,200,198,197,194,191,190,217,217,218,218,218,218,219,220,219,219,217,216,215,213,213,212,210,211,208,207,206,206,205,203,200,198,194,193,218,219,220,220,220,219,220,221,220,219,219,218,219,219,217,217,215,213,209,203,200,197,190,185,186,185,194,197,220,220,221,221,221,221,222,222,225,226,223,217,215,210,201,193,185,170,153,157,164,164,149,156,207,190,171,200,221,221,222,221,220,222,224,224,210,187,176,167,169,167,163,154,154,150,135,157,155,145,147,147,179,156,158,203,222,223,224,222,222,225,219,199,175,155,151,159,161,170,170,166,149,137,125,118,110,116,121,114,127,156,194,201,225,224,224,225,226,208,190,186,177,150,128,136,143,136,122,118,101,96,112,138,157,176,187,199,209,211,205,202,225,225,227,226,196,179,184,180,166,143,104,92,72,104,168,174,183,189,209,223,223,220,217,214,210,207,206,205,226,229,226,191,175,181,184,181,178,170,137,86,56,94,171,204,229,230,220,218,215,213,213,213,211,209,208,206,231,226,196,180,186,191,190,190,193,177,119,73,72,66,60,68,96,206,224,219,220,217,216,215,213,211,210,207,211,186,186,195,194,195,192,181,187,141,76,64,68,72,76,74,49,128,236,219,221,220,217,215,214,212,211,208,181,186,197,195,192,193,177,171,177,139,103,71,48,62,70,76,69,57,203,228,221,220,218,216,215,212,211,208,187,192,196,198,196,181,172,178,179,182,162,103,58,58,56,57,68,131,220,222,221,221,219,216,215,213,212,210,190,192,198,198,189,173,173,176,173,179,152,89,65,66,69,51,164,242,223,222,222,221,220,219,216,215,213,211,189,196,198,186,175,170,169,165,162,157,121,69,57,62,70,41,161,240,222,225,222,220,221,219,218,216,214,212,191,190,177,175,176,171,170,158,145,146,135,90,47,56,52,114,220,225,223,223,222,220,220,217,215,212,210,210,179,167,165,172,167,157,148,140,144,161,166,113,64,72,49,173,242,224,223,221,221,220,219,215,216,217,219,212,167,167,167,158,143,138,138,146,154,165,153,97,65,62,43,177,237,224,222,222,221,220,220,223,209,187,149,112,167,165,154,144,139,140,140,134,131,127,94,57,67,77,157,232,227,234,234,230,225,222,223,171,98,70,61,58,154,141,128,137,139,137,120,99,84,72,68,138,201,223,236,232,225,191,176,128,113,114,102,68,63,66,50,57,116,90,84,105,115,108,89,75,79,122,179,237,232,228,227,225,138,86,76,41,51,50,45,54,48,59,49,36,72,55,70,94,96,93,88,93,110,130,132,123,126,132,130,106,77,70,69,52,37,55,42,47,40,44,44,29,58,75,125,122,122,124,123,121,120,116,115,114,98,86,70,62,60,58,46,58,28,46,38,37,39,41,34,30,55,106,139,127,128,134,130,124,130,129,131,116,73,55,63,57,48,50,46,52,33,32,37,33,36,40,28,34,61,115,125,122,124,125,122,120,123,118,98,66,59,41,50,55,44,42,41,43,38,21,33,32,36,38,24,35,71,122,122,123,127,125,122,123,115,92,76,43,51,43,38,53,38,39,34,37,39,20,30,32,34,36,26,35
10,82,88,99,104,107,111,114,116,119,120,122,124,125,125,127,129,132,132,133,133,134,137,138,138,138,139,141,141,82,90,100,104,108,112,114,116,120,121,122,125,126,127,128,130,117,131,134,135,137,138,138,138,140,140,141,142,84,91,101,105,108,113,115,117,121,123,123,125,127,128,132,142,97,117,139,135,138,139,140,140,142,142,143,142,86,94,103,106,110,113,116,118,121,123,124,126,129,129,137,147,102,101,140,135,139,139,140,142,142,143,144,144,87,94,103,107,111,113,117,120,122,124,125,127,129,129,136,146,111,93,139,137,140,142,142,142,144,145,145,145,87,96,105,108,110,115,118,120,121,124,126,126,131,132,133,146,122,92,135,139,140,143,143,143,145,146,146,146,88,96,106,108,111,117,119,120,122,125,125,135,117,119,136,151,134,93,126,143,140,142,142,143,145,146,146,147,89,98,106,110,114,117,119,121,123,125,126,141,115,81,134,149,138,98,110,147,140,143,143,144,146,146,147,148,91,101,106,109,114,117,120,124,128,127,135,132,112,68,117,147,134,100,101,147,142,144,144,146,147,147,148,148,92,102,108,111,113,122,120,112,109,109,126,143,122,87,95,150,123,99,93,147,143,145,145,147,148,148,149,149,92,101,107,111,111,128,109,80,69,68,70,127,137,100,73,137,107,98,86,144,144,146,147,148,149,149,150,150,94,103,108,112,115,116,99,77,62,75,73,94,140,113,72,118,90,95,81,139,146,147,148,148,149,150,150,151,94,103,107,110,115,119,118,114,106,87,73,81,138,124,81,93,76,90,76,132,149,147,148,149,150,151,152,151,94,103,108,112,116,121,120,141,151,101,57,97,147,129,89,65,72,88,79,121,152,148,150,149,150,151,151,151,97,105,108,113,118,119,118,143,146,105,52,91,160,128,99,63,70,87,79,107,155,148,150,149,151,151,151,151,97,105,109,114,115,129,139,139,153,113,44,96,170,127,103,68,70,84,78,93,154,149,150,150,152,153,153,153,98,106,109,114,112,138,153,135,146,112,48,130,158,128,98,69,62,79,74,81,154,149,151,151,152,153,153,154,99,107,110,114,115,126,152,131,138,108,107,165,138,130,98,71,64,75,67,93,156,148,150,151,153,153,153,154,99,106,110,113,117,120,131,115,124,126,156,162,136,124,103,75,67,72,61,125,154,149,152,152,153,153,153,154,99,106,109,113,117,119,131,112,126,157,168,157,138,118,101,79,68,65,72,147,150,150,152,153,154,154,155,155,101,107,109,113,118,119,140,142,121,149,169,150,134,116,99,79,69,57,95,156,148,151,152,153,154,153,154,155,102,107,110,113,119,117,149,156,121,130,168,150,134,113,100,81,68,56,122,154,149,151,152,154,154,154,154,155,102,107,111,115,120,118,153,159,136,148,163,148,135,114,100,84,66,67,145,149,149,151,153,154,154,154,155,155,101,106,110,115,119,119,160,167,143,152,160,148,136,115,102,86,59,94,156,148,150,152,154,155,154,154,155,156,102,106,110,115,120,118,158,164,148,151,154,152,145,118,100,85,58,122,154,148,151,152,152,154,155,155,156,156,103,105,110,115,119,118,153,157,142,152,150,153,149,121,99,79,67,144,150,150,151,152,153,154,155,156,156,156,103,105,111,116,119,120,144,147,143,152,151,154,147,119,98,70,93,155,148,150,151,153,154,155,155,155,156,156,103,107,111,116,119,122,136,145,152,158,149,150,143,116,95,66,123,153,148,150,152,153,155,155,155,155,156,157
10,172,173,173,173,174,175,175,176,175,174,175,175,175,173,172,171,169,170,166,167,166,164,163,162,161,159,157,158,177,178,178,179,179,179,178,180,179,178,178,178,177,177,175,173,172,171,174,163,162,167,165,163,161,161,160,158,183,182,183,185,185,184,185,185,184,184,183,182,181,180,179,176,176,170,197,162,125,173,166,164,164,163,162,161,187,188,187,189,190,189,189,188,188,188,187,186,186,184,182,180,180,175,202,170,111,169,169,167,166,165,163,162,193,193,193,193,193,194,193,192,192,193,192,191,191,189,186,185,185,180,204,169,110,168,175,170,169,167,165,164,197,197,198,197,199,198,196,197,197,198,197,196,194,193,191,189,189,186,205,159,105,170,180,174,172,171,169,167,202,202,201,202,203,203,201,202,203,202,201,199,198,197,195,194,193,190,211,174,110,172,185,178,176,175,172,169,206,207,206,206,207,207,207,206,207,207,207,204,203,201,200,199,196,197,218,168,144,176,187,182,180,178,175,172,208,208,210,210,211,211,210,210,211,212,210,208,208,206,204,203,199,211,214,191,170,137,196,185,183,181,178,176,211,212,213,214,214,214,214,213,214,214,213,212,212,210,208,206,200,187,192,211,160,105,198,189,186,184,182,180,215,215,216,217,216,215,216,216,216,217,216,215,214,214,212,211,209,185,161,174,175,94,150,205,189,189,185,183,218,218,218,219,219,219,219,218,220,220,219,218,216,216,212,207,224,221,184,141,131,125,90,182,198,191,188,187,221,220,221,222,223,223,222,223,223,224,223,223,224,221,191,157,151,193,202,196,148,114,95,131,208,191,192,192,223,223,224,225,225,225,225,225,225,225,225,206,179,208,211,177,115,74,187,205,132,92,83,132,211,196,195,193,226,227,227,227,228,227,227,228,227,225,225,205,165,150,225,204,155,63,73,118,125,103,79,145,214,199,199,196,229,229,229,229,230,230,229,229,230,227,222,222,209,158,183,227,170,109,61,71,182,147,83,153,216,203,201,197,230,230,230,230,231,231,230,231,230,229,196,187,215,181,134,205,181,125,74,101,182,178,94,151,220,205,203,201,231,232,232,232,233,232,233,234,231,230,208,148,169,174,88,148,191,118,82,114,171,178,92,142,221,205,205,203,233,234,234,235,235,235,235,235,234,222,197,153,130,154,100,109,194,163,104,124,170,140,83,156,222,207,207,204,236,236,236,236,236,237,237,237,234,225,221,195,136,142,141,108,176,202,133,112,152,109,84,193,219,210,208,206,236,237,236,237,238,238,237,238,235,228,236,206,163,141,139,125,184,185,118,100,137,97,103,221,214,212,210,209,238,238,237,238,238,238,238,239,239,226,236,222,186,155,147,170,231,211,152,126,129,89,139,231,214,214,212,210,239,240,239,240,241,241,242,242,243,227,222,222,197,169,160,181,229,224,194,152,125,81,175,231,216,216,213,210,240,240,241,241,241,243,244,243,245,231,213,219,205,193,174,180,222,215,176,138,113,89,210,225,219,217,215,212,239,239,239,240,241,242,243,242,244,241,212,211,214,209,181,169,210,193,160,127,89,121,234,221,221,218,216,214,238,240,240,240,241,243,243,243,243,246,221,196,209,200,180,155,181,172,141,115,71,175,233,219,220,217,215,212,240,241,242,243,242,244,244,245,244,245,240,207,202,192,175,154,161,172,140,96,103,226,224,221,219,217,214,217,241,242,243,243,243,244,245,245,246,245,241,222,203,185,176,165,155,168,135,80,169,238,222,222,220,217,218,178
10,16,54,56,60,66,71,79,90,99,102,106,110,114,119,122,124,128,128,131,132,132,132,132,133,134,134,132,131,22,56,57,61,67,72,82,92,100,105,109,113,118,122,124,128,129,141,129,133,135,134,135,135,135,135,135,133,27,58,58,62,68,72,83,94,103,108,112,117,123,125,128,127,138,175,109,121,141,136,138,137,137,136,136,135,34,58,59,64,68,74,85,97,106,110,115,120,124,127,131,130,143,173,119,103,146,139,141,140,140,139,139,137,39,59,60,65,69,75,87,100,109,110,116,122,127,131,135,134,141,176,144,97,145,142,142,143,142,141,141,139,44,59,61,65,70,77,90,102,108,127,124,121,133,135,137,138,139,183,172,98,139,148,146,144,143,144,143,142,50,60,62,66,70,78,91,103,112,178,122,77,123,138,140,143,141,180,173,104,129,154,148,148,147,147,146,144,54,59,63,66,72,80,93,104,113,145,107,73,69,149,124,115,148,175,181,110,116,158,150,150,149,150,148,147,55,58,62,68,73,80,94,107,116,121,114,90,77,142,93,89,150,178,191,117,101,161,153,153,152,151,151,150,58,60,63,68,73,81,96,108,118,122,128,119,113,154,91,48,143,176,160,108,79,158,157,156,156,154,153,153,60,62,65,69,72,81,98,110,120,124,128,142,127,157,106,47,105,161,104,83,63,150,160,157,158,157,155,155,61,62,64,69,73,82,99,113,122,125,130,139,133,159,128,95,65,90,76,80,59,142,166,160,161,159,157,157,63,63,65,69,73,83,100,114,123,127,131,142,154,123,149,138,110,56,50,69,59,120,173,162,163,162,161,159,63,63,64,68,74,85,101,114,125,129,129,163,169,99,107,177,146,115,69,58,54,85,175,165,166,165,163,163,63,64,64,69,74,86,102,116,127,130,137,158,180,140,56,138,179,143,115,53,42,63,172,169,169,167,166,164,64,63,64,70,73,85,104,118,125,139,183,128,161,131,70,124,193,156,126,59,35,64,172,172,170,170,168,167,64,63,65,70,73,87,105,119,125,147,202,133,109,145,105,179,180,146,126,72,42,41,155,179,172,172,171,170,64,64,65,70,73,88,105,120,129,136,179,153,95,175,159,193,183,142,119,79,50,36,151,182,175,175,172,172,64,65,65,70,73,88,106,120,131,130,161,157,102,178,125,169,186,152,108,75,56,41,160,182,176,177,175,173,65,64,66,70,73,89,107,122,132,132,157,175,144,141,69,185,181,140,104,73,58,50,169,182,178,179,178,175,65,64,65,69,73,91,107,122,133,137,138,189,189,132,106,201,173,135,100,69,60,56,175,184,180,179,178,176,65,64,65,69,73,90,107,124,134,137,141,167,208,196,176,193,162,126,94,71,62,64,183,184,182,181,179,178,65,63,65,68,73,90,108,123,133,137,143,157,204,201,176,162,145,114,92,79,60,82,191,182,183,182,181,179,65,63,62,66,72,90,107,122,132,135,144,146,138,194,153,128,140,125,108,95,57,102,194,181,183,183,181,179,63,61,62,64,71,89,107,122,131,134,148,135,24,177,136,146,153,151,140,110,50,103,194,182,184,183,182,180,62,59,60,63,69,88,107,122,132,133,151,126,0,141,186,164,138,145,132,87,34,28,189,186,185,184,183,180,58,56,57,61,67,86,105,121,131,134,151,101,0,77,150,133,111,113,87,35,0,58,198,184,185,184,183,181,64,60,60,61,67,85,103,119,128,133,145,83,7,36,36,29,21,22,9,0,0,106,199,181,184,184,183,181
19,170,171,173,175,177,178,179,181,181,181,181,182,182,181,181,181,181,181,180,179,178,179,178,176,175,175,173,172,171,173,174,176,179,180,180,182,183,184,184,183,185,184,183,182,182,182,181,181,180,180,180,179,177,178,176,176,173,175,177,180,181,181,184,185,186,186,185,186,185,187,186,185,185,183,184,184,182,181,181,181,179,179,176,176,174,176,179,180,182,183,186,185,187,186,187,187,187,187,187,186,188,185,185,185,183,183,182,182,181,181,179,178,175,178,179,181,182,185,186,187,188,189,189,189,189,189,189,187,188,187,186,185,185,185,184,184,182,181,181,179,177,179,181,183,183,186,188,189,191,192,192,192,192,191,189,190,189,189,188,187,187,185,186,185,183,184,182,181,179,181,184,185,186,188,188,191,192,192,193,193,191,190,191,185,195,191,189,189,188,187,186,186,186,185,184,183,180,181,185,187,186,189,191,192,194,194,193,195,200,194,207,172,138,195,190,189,190,189,189,187,186,184,185,185,181,183,185,188,189,192,193,194,194,196,198,171,151,176,212,195,93,155,202,197,195,194,193,191,189,190,188,186,181,184,187,189,192,193,194,194,196,194,184,149,109,112,130,142,124,110,134,146,172,176,181,184,188,182,177,184,182,186,188,191,193,193,196,198,195,183,179,186,179,128,74,100,127,117,115,99,109,127,136,122,145,126,132,179,185,187,189,192,193,195,194,190,173,179,194,197,163,102,70,65,88,101,110,99,103,121,127,123,127,130,126,166,185,187,191,193,195,193,191,181,177,180,184,184,165,121,70,63,62,67,71,66,71,79,89,90,89,94,99,117,186,187,191,193,193,191,190,187,184,174,183,191,191,155,88,61,67,55,77,115,135,137,136,135,144,147,159,177,187,189,192,194,194,191,190,189,186,183,190,194,190,157,92,61,67,53,136,218,205,204,203,204,204,202,200,197,188,190,190,193,191,193,191,191,193,189,187,186,179,163,108,61,63,64,70,194,203,198,196,196,197,196,194,195,185,188,198,198,196,194,194,195,195,187,181,191,189,176,125,65,60,69,47,124,215,198,199,200,198,197,197,196,188,212,216,202,195,196,198,195,187,184,190,196,191,159,115,75,58,72,50,98,215,199,201,201,200,199,198,197,212,220,209,197,192,194,190,186,183,182,176,176,166,135,108,84,67,69,55,159,214,201,201,201,202,201,199,198,219,215,199,193,192,189,186,184,177,175,166,161,154,136,108,88,80,70,44,164,215,203,203,202,201,201,200,199,215,211,201,189,182,184,179,181,179,172,165,157,149,157,113,85,86,71,63,193,210,205,205,204,202,201,201,200,212,208,197,184,171,172,171,171,177,167,158,138,134,151,98,79,91,69,91,220,203,205,206,205,203,202,202,201,208,202,187,170,158,155,158,157,163,152,133,109,110,100,56,77,95,60,135,216,205,206,205,205,204,204,202,201,197,189,169,154,145,128,132,139,143,123,101,98,93,62,72,85,79,145,213,209,207,206,207,206,205,205,203,202,196,166,161,152,127,108,97,107,112,99,87,79,64,60,80,112,170,216,208,209,207,207,207,207,206,206,204,202,162,150,163,147,116,87,81,80,83,71,105,165,153,157,183,207,216,208,208,208,208,207,207,206,205,204,203,201,106,152,158,134,102,66,46,46,97,153,202,219,218,217,214,210,208,209,209,209,209,208,207,205,203,203,202,201,53,97,94,64,42,25,12,10,185,224,209,210,209,210,209,210,210,210,210,209,209,209,207,206,205,204,202,202
6,198,200,202,204,204,204,204,204,205,206,206,206,207,206,206,207,206,205,205,202,203,201,201,200,197,197,196,195,201,202,202,204,205,206,206,206,205,207,208,208,207,207,207,207,207,207,206,205,203,204,203,201,200,199,198,199,202,202,204,205,206,207,207,207,207,208,208,207,206,209,210,210,209,208,208,207,207,206,204,203,203,200,200,200,203,204,206,206,207,209,209,208,207,208,208,208,209,210,209,209,209,208,208,207,207,206,205,205,204,202,202,200,206,207,207,208,209,209,209,210,210,209,210,210,210,211,212,212,211,211,211,210,208,208,205,206,205,203,202,200,207,208,208,209,210,210,211,212,212,212,212,212,212,211,212,212,213,213,212,211,209,209,208,207,207,206,205,204,207,208,211,211,212,213,213,213,212,212,214,214,214,213,214,214,214,214,213,212,210,210,208,207,206,206,204,205,209,211,212,211,212,214,215,215,214,214,215,216,215,215,214,215,215,215,215,215,212,211,211,210,209,208,207,207,210,212,212,213,213,215,215,215,215,215,216,216,215,215,216,215,214,213,214,213,212,211,210,210,207,207,205,206,212,213,214,214,214,215,215,217,218,221,222,218,209,192,202,211,213,209,210,210,210,203,205,203,201,207,193,227,212,213,215,216,218,220,220,220,216,214,215,213,206,184,159,192,207,211,210,210,197,200,199,198,198,200,189,199,217,220,219,217,214,214,214,212,206,207,210,210,216,204,145,137,152,162,164,166,168,164,162,166,166,167,169,173,230,227,219,209,207,207,207,203,197,199,197,191,188,170,145,134,119,120,160,172,183,188,194,202,208,207,208,214,228,224,218,206,202,197,191,190,193,190,184,182,185,163,134,134,142,137,175,227,226,222,221,221,218,216,217,212,226,220,215,205,196,188,188,188,189,189,190,197,211,192,138,117,129,148,132,153,213,221,218,219,218,220,204,150,221,215,209,203,193,184,178,177,183,190,197,198,196,182,150,136,131,132,143,132,152,223,221,221,218,223,151,125,216,210,207,208,197,187,180,177,179,182,189,203,187,157,151,153,149,139,130,133,136,215,221,217,224,206,132,132,213,206,206,205,198,192,186,182,182,179,178,191,198,165,128,133,159,159,146,121,161,228,221,229,202,138,123,108,205,202,201,199,198,196,189,184,185,185,186,199,193,160,138,124,134,153,160,136,158,220,187,176,140,113,110,96,149,161,179,196,202,203,198,190,187,184,183,195,193,163,144,151,144,131,138,145,139,145,127,118,110,104,94,89,75,79,100,148,205,203,199,194,191,186,181,175,178,165,164,166,157,147,139,121,116,116,126,121,111,101,88,83,72,65,60,64,132,197,181,171,167,163,163,150,147,135,136,157,161,161,147,115,86,98,112,105,102,100,96,85,65,60,61,62,55,108,179,182,187,193,200,211,146,105,109,126,153,146,132,120,90,81,100,99,95,96,101,90,59,55,53,52,48,164,220,218,222,225,225,229,206,165,159,150,147,103,123,119,86,74,79,94,90,89,97,95,55,50,48,38,73,152,141,144,145,146,150,151,157,160,159,158,134,87,116,117,83,68,72,83,84,86,93,95,51,48,46,41,67,131,126,126,127,126,129,130,126,123,142,148,120,78,111,109,78,65,75,76,79,81,87,90,53,50,53,36,69,144,135,136,136,136,133,134,137,143,130,119,109,79,102,100,76,62,68,75,75,76,81,86,59,57,50,29,93,144,135,136,137,138,135,135,135,124,110,98,97,84,94,97,74,64,64,71,70,74,77,82
11,115,119,126,132,137,141,145,150,153,155,156,158,161,160,161,162,162,162,162,162,162,161,160,156,128,113,143,178,117,122,128,134,139,143,147,151,154,156,158,161,169,153,157,162,162,162,162,162,161,160,159,156,136,131,152,181,121,125,132,138,142,146,150,154,157,159,161,165,180,143,144,163,163,163,163,162,161,160,159,155,153,168,176,185,125,130,137,143,148,153,157,160,163,164,165,172,190,143,130,163,166,166,165,164,163,162,160,159,164,164,181,187,130,135,142,149,154,159,163,167,169,171,172,178,194,140,124,166,171,171,170,169,168,167,165,164,164,158,182,188,134,140,148,155,160,165,169,173,176,178,179,186,195,136,127,172,177,177,176,175,174,172,170,168,170,173,178,185,138,144,154,162,167,171,175,179,183,185,186,196,200,133,133,180,184,183,182,181,180,177,175,172,171,163,160,180,141,148,159,167,173,178,182,186,189,191,193,209,200,124,143,188,190,189,188,187,185,183,181,178,175,168,169,183,144,153,165,173,178,183,189,193,195,197,200,211,182,119,155,195,196,195,194,193,191,189,186,184,181,178,182,191,148,157,169,177,183,188,193,198,200,202,209,202,141,107,163,201,201,200,199,198,197,194,192,189,187,184,188,200,152,161,173,181,188,193,198,202,206,205,194,182,134,108,170,205,206,205,205,204,202,200,197,195,191,188,191,202,156,165,177,185,191,197,202,207,219,205,145,128,134,120,175,209,210,209,209,208,207,204,202,200,196,192,193,204,159,169,180,189,195,200,205,196,198,189,136,107,127,124,167,212,213,213,213,212,210,208,206,203,199,180,173,200,161,172,183,192,199,210,215,178,138,142,145,113,115,120,153,211,217,217,217,215,213,209,206,203,193,137,121,175,164,175,186,197,210,218,208,183,145,118,131,116,103,116,135,204,221,221,219,215,210,198,185,179,161,101,80,104,167,178,190,209,219,191,160,164,166,122,105,104,95,123,132,191,221,221,216,210,206,187,166,154,131,90,71,68,169,180,195,220,209,158,119,118,153,124,93,96,89,132,146,162,201,215,217,210,195,167,139,118,98,77,67,65,171,181,196,216,191,138,101,88,129,125,96,102,85,119,144,133,175,208,207,182,147,114,83,66,65,61,61,63,172,183,195,209,179,130,98,83,109,125,107,117,103,129,147,142,172,184,160,120,90,69,54,50,52,52,55,56,174,184,196,210,189,143,110,91,96,115,123,140,141,169,159,140,146,130,95,66,60,60,51,46,47,49,51,38,174,185,197,214,197,155,123,101,99,117,155,186,190,184,150,123,107,72,54,51,48,55,55,45,41,44,43,30,174,185,198,216,203,168,135,110,111,132,187,216,205,172,132,100,69,50,41,48,46,46,54,49,39,36,36,35,174,186,198,213,205,177,142,120,122,141,193,210,186,149,115,74,39,45,43,42,48,45,46,49,43,35,35,35,172,182,194,204,202,183,151,133,130,142,182,195,168,131,100,63,30,36,48,41,44,47,42,42,44,37,33,34,144,150,157,174,196,187,159,144,133,138,167,179,154,117,79,55,34,27,46,47,41,44,43,37,39,38,30,31,119,120,121,144,190,187,165,150,133,128,150,154,129,89,48,43,41,22,36,48,44,41,41,36,34,37,30,25,118,119,119,141,191,190,168,150,131,120,130,124,95,58,31,36,46,25,26,45,46,42,39,35,30,32,31,24,119,119,121,138,189,190,164,145,128,118,120,106,65,40,30,32,47,32,19,38,47,41,38,35,31,29,27,26
21,92,95,103,111,117,123,127,130,136,139,144,146,149,153,155,155,156,159,159,159,161,162,161,160,162,163,163,163,94,98,107,114,121,125,130,133,138,143,146,149,153,157,158,158,164,162,164,164,164,164,163,164,166,166,165,165,96,100,109,117,123,129,132,137,142,146,148,152,156,159,166,138,116,168,165,167,166,170,174,169,170,171,170,170,98,103,112,118,125,132,136,139,144,148,151,156,160,162,173,150,54,158,172,169,172,155,141,176,173,173,173,173,101,106,114,123,128,134,139,142,146,150,154,159,164,163,175,162,63,132,182,171,175,161,72,149,183,176,176,174,104,107,117,126,131,137,140,145,149,154,158,162,167,167,177,166,73,104,187,171,178,171,81,111,191,177,177,177,105,111,120,128,134,139,143,148,152,157,161,165,169,171,175,169,95,88,184,176,180,169,91,89,191,178,179,179,107,114,122,130,136,140,146,149,154,159,163,168,171,173,175,185,133,79,171,182,182,172,100,79,189,182,182,182,109,115,125,133,139,144,148,152,157,161,164,169,173,175,174,191,147,79,149,190,182,180,125,75,186,187,186,185,111,117,127,135,141,145,149,154,158,163,167,171,174,178,179,198,155,88,122,195,183,182,137,71,177,190,189,190,111,119,129,137,142,146,151,156,160,165,169,173,175,175,168,206,181,119,108,195,187,180,144,71,169,195,189,190,112,121,131,137,143,148,152,157,162,167,171,174,177,171,150,157,203,153,105,187,190,193,167,81,165,197,190,191,114,121,132,139,145,150,155,160,164,169,174,175,191,213,197,149,140,136,97,179,194,192,172,81,162,200,190,191,115,124,134,140,147,152,157,162,165,170,173,178,184,177,191,183,132,77,60,151,192,175,164,79,159,203,192,194,116,123,134,141,148,154,157,161,167,172,176,180,180,154,129,117,146,105,94,90,113,142,146,76,153,208,194,196,119,126,136,143,149,155,160,164,168,173,178,180,189,199,170,102,98,153,157,143,92,71,118,69,143,210,194,197,119,129,138,144,150,155,162,166,169,174,179,185,172,159,181,130,43,95,169,163,113,44,69,54,142,211,197,199,120,130,139,145,151,155,160,165,170,176,180,185,173,80,123,146,63,14,88,150,129,86,41,32,133,212,197,200,120,131,141,147,152,156,162,166,171,176,181,186,170,132,105,129,108,65,0,102,162,121,63,19,101,216,199,202,120,129,139,147,152,157,163,167,171,177,182,185,190,171,97,67,108,87,14,49,164,153,101,42,68,212,201,203,118,129,138,145,149,155,162,166,171,177,181,183,199,163,124,91,54,43,56,97,161,179,125,82,54,194,206,204,121,130,139,146,151,155,162,168,172,177,182,182,203,193,162,92,62,73,104,187,186,161,124,89,51,185,208,203,122,131,140,147,153,157,163,169,172,178,183,183,202,195,142,83,90,103,136,216,188,149,101,71,47,188,208,203,122,131,141,146,153,159,165,169,172,178,181,182,196,193,135,118,110,94,157,218,176,137,93,56,49,192,208,204,121,131,141,146,152,158,163,167,172,177,180,182,191,186,158,127,100,95,166,213,170,129,85,56,52,196,207,206,125,135,143,151,158,164,168,173,179,184,187,189,190,182,163,111,110,109,159,201,166,127,78,50,58,198,205,204,90,95,103,111,115,122,129,137,145,153,158,161,169,178,163,116,140,114,143,184,143,108,70,44,71,213,208,210,56,58,57,57,57,60,62,65,68,69,71,71,80,162,166,132,144,122,127,174,120,84,60,46,61,129,133,140
7,97,106,121,142,155,163,169,172,174,177,180,181,182,183,185,185,186,185,184,183,182,181,180,179,177,175,173,171,98,107,123,143,156,164,169,173,175,179,181,183,184,185,186,187,187,187,186,185,184,183,182,180,178,177,175,173,99,108,124,144,157,165,170,174,177,180,182,185,186,187,188,189,189,189,188,187,186,185,184,182,180,179,177,175,101,110,125,145,158,166,172,175,178,181,184,186,187,189,190,191,191,191,190,189,188,187,185,184,183,181,179,178,102,111,127,146,158,167,173,176,179,182,185,187,188,189,190,192,192,192,192,190,190,189,187,186,185,183,181,179,103,112,128,147,159,168,174,177,180,183,187,188,190,191,192,193,194,193,193,191,190,189,189,188,186,184,182,181,104,112,128,148,160,169,175,178,180,184,187,189,189,189,187,185,183,182,177,171,175,177,180,189,188,186,185,183,105,113,129,149,161,169,175,177,177,177,178,176,170,165,157,145,144,144,139,138,156,160,159,185,190,188,186,185,105,114,130,150,161,170,171,161,155,153,153,150,141,134,127,118,120,119,118,120,128,129,141,172,185,189,187,185,106,115,131,150,163,172,161,138,131,134,135,134,130,125,122,117,115,119,119,115,111,108,120,140,158,185,188,186,107,115,133,155,169,171,153,127,117,118,123,129,133,135,132,119,109,119,118,108,102,98,107,121,139,181,189,187,107,118,144,166,170,163,151,136,129,131,138,140,137,132,123,107,101,107,107,104,106,108,116,132,160,188,190,188,113,137,165,171,167,161,147,130,125,128,131,125,119,114,111,109,119,135,148,158,167,173,178,184,191,194,191,189,143,168,175,170,164,152,132,106,102,105,99,89,85,95,127,159,181,192,197,199,200,200,199,198,197,195,192,190,175,179,174,167,153,138,120,97,89,82,71,66,67,72,90,143,196,203,202,202,202,201,201,200,198,195,193,191,177,176,171,157,142,132,124,112,93,77,74,74,73,70,68,109,188,204,204,203,203,202,202,201,198,196,194,192,174,171,158,141,132,128,131,127,99,78,75,75,75,72,67,93,177,204,204,204,203,203,202,201,199,196,194,193,166,155,139,128,123,120,120,111,86,69,64,67,72,72,69,98,175,204,205,204,203,203,202,201,199,197,195,193,148,137,128,123,118,109,102,94,81,68,66,75,79,77,97,159,197,205,205,204,203,202,202,201,199,197,195,193,133,128,121,115,106,97,93,96,91,78,76,81,87,101,149,194,203,203,203,203,202,202,201,199,197,196,194,192,127,120,110,104,99,96,97,101,92,83,96,121,146,171,193,201,203,203,202,202,201,201,200,199,197,195,192,190,116,111,106,103,99,94,92,92,94,118,158,183,193,199,201,202,202,202,202,202,201,201,200,199,197,195,192,189,90,88,86,90,96,96,101,120,146,173,189,194,197,199,200,201,201,201,202,202,201,200,199,198,196,194,191,185,67,60,47,75,127,140,152,165,175,180,183,185,187,188,189,190,190,189,188,187,186,184,182,180,177,173,163,140,60,47,26,70,134,141,141,141,141,141,141,141,140,140,141,140,138,136,135,134,131,129,126,122,107,91,75,54,44,28,20,68,110,113,112,112,112,112,112,112,112,112,111,110,110,109,108,106,105,102,94,78,51,33,24,17,14,11,25,76,109,112,111,111,111,111,111,111,111,111,110,110,109,109,108,106,100,87,62,38,24,18,14,9,17,26,41,76,108,112,111,111,112,112,112,111,111,111,111,110,108,107,106,103,84,56,29,19,15,12,10,7
24,165,172,179,184,187,191,194,196,197,198,200,201,201,201,202,202,201,199,199,199,198,197,196,196,195,194,191,189,167,174,181,186,187,191,194,196,198,200,203,203,203,203,204,203,201,202,202,201,199,199,196,198,196,195,193,191,169,176,181,184,193,193,196,198,199,202,203,204,205,203,205,205,202,203,204,202,201,200,199,198,196,194,193,193,171,174,195,212,171,197,198,201,201,204,205,205,205,205,207,206,205,204,204,202,202,202,201,201,198,195,195,194,174,171,219,238,137,201,200,202,203,205,207,208,208,207,209,209,207,205,204,204,203,203,202,201,199,196,196,196,176,173,224,230,130,199,203,204,206,208,210,211,212,212,210,210,208,208,207,205,205,205,204,202,201,200,197,196,178,174,223,238,127,189,207,205,208,210,210,212,214,213,212,211,211,210,209,208,207,206,205,203,202,201,199,198,179,177,216,247,140,185,209,206,209,212,212,212,214,214,213,213,214,213,211,210,209,208,206,205,204,203,202,201,181,181,210,251,145,172,214,208,212,212,215,216,213,215,218,215,215,213,212,211,210,210,208,207,206,205,203,201,181,183,205,255,170,149,212,211,212,222,217,210,232,226,201,219,215,214,215,213,212,210,208,207,207,207,206,204,182,188,202,255,205,149,251,226,193,255,220,157,248,246,158,183,228,218,217,215,215,215,214,214,209,207,206,204,183,190,199,255,214,189,255,224,202,255,224,160,240,229,174,134,217,223,220,219,215,207,199,193,211,207,207,204,185,193,196,254,240,232,255,224,201,255,215,174,255,213,161,111,185,231,218,219,190,161,137,111,184,216,208,207,187,196,196,255,255,249,255,235,181,255,201,180,255,206,133,94,174,226,219,212,162,124,129,159,201,215,211,209,188,194,206,255,255,244,255,241,170,255,204,184,247,192,102,65,166,230,216,184,135,157,216,223,217,213,212,211,190,192,219,251,219,226,255,238,163,248,211,184,242,164,80,117,186,221,172,137,147,226,224,219,218,215,214,212,192,193,229,255,201,193,237,223,154,253,201,187,236,148,188,222,205,175,126,132,216,227,222,222,222,220,216,215,193,191,236,255,223,178,224,217,171,255,174,170,241,228,244,212,178,155,119,208,234,226,225,224,223,222,219,215,192,190,240,255,239,167,215,230,210,253,156,206,255,238,216,202,158,131,183,238,226,226,225,224,224,221,219,215,193,192,239,255,241,184,205,220,204,227,240,255,255,227,210,183,136,148,236,230,229,227,226,224,222,221,219,216,194,192,239,255,251,218,196,229,255,255,255,255,238,224,199,153,124,208,237,231,231,230,229,227,224,222,221,218,193,194,225,255,255,227,213,243,255,255,255,251,223,198,176,128,182,241,232,233,232,233,229,229,227,223,223,220,192,199,210,255,255,232,223,252,255,255,255,243,206,173,141,160,240,234,234,232,232,231,226,227,226,223,223,221,195,203,214,255,254,232,226,253,255,255,240,215,187,153,145,234,245,242,243,241,239,237,235,234,231,234,229,219,161,160,168,255,244,241,236,247,255,253,217,184,164,136,146,170,162,162,162,161,160,160,161,161,160,147,152,189,130,126,120,248,255,249,246,251,255,239,193,164,149,128,121,116,115,115,113,111,110,111,112,101,95,142,208,223,138,140,123,247,255,253,255,253,247,224,179,154,137,129,130,130,130,128,127,125,123,125,122,142,214,251,227,196,138,140,120,237,255,255,255,245,229,217,183,142,127,128,128,129,129,127,127,126,126,118,163,251,251,212,210,179
14,190,193,192,193,195,195,196,196,197,196,196,195,196,197,197,196,197,197,198,196,197,196,195,196,195,193,193,194,192,193,193,195,196,197,197,197,199,197,198,198,205,195,193,200,200,197,198,198,198,198,198,197,197,196,195,194,193,194,196,196,197,199,200,201,200,200,211,212,200,156,153,206,201,201,201,200,200,200,200,200,200,198,197,196,194,196,198,198,199,200,200,200,202,228,216,180,146,128,117,172,195,195,199,200,201,201,201,199,199,199,198,197,196,197,199,201,202,201,198,208,236,229,165,121,115,108,120,155,178,148,159,204,203,202,202,202,200,200,200,200,197,198,200,201,201,200,209,246,229,184,131,106,118,101,111,138,152,122,161,207,204,205,205,203,202,202,202,201,200,201,203,203,202,199,238,246,186,129,103,103,109,98,103,107,125,114,170,205,207,207,207,207,206,205,203,202,201,203,203,204,204,202,249,241,162,99,81,86,98,116,125,107,139,167,164,152,190,210,207,208,207,206,204,204,202,203,203,206,205,215,255,230,157,106,91,95,88,102,108,92,106,147,152,117,186,212,209,210,209,207,206,205,202,203,205,207,205,226,255,211,135,98,101,112,87,97,105,113,116,119,114,111,184,205,212,210,209,208,207,208,206,206,207,209,204,238,254,216,150,102,102,114,99,109,120,128,122,112,134,140,145,139,201,214,211,211,210,209,207,208,210,210,207,249,254,226,170,125,102,99,111,115,94,108,117,150,149,140,134,149,165,207,215,213,211,210,208,210,211,209,217,255,253,225,170,132,111,95,119,114,142,184,204,218,212,197,173,191,154,202,217,214,214,212,208,209,211,210,225,255,255,225,170,129,115,101,112,106,198,222,218,216,218,207,180,189,153,209,216,215,214,213,209,210,214,212,229,255,255,232,183,137,110,106,100,140,223,217,217,218,220,194,177,184,149,213,217,216,215,214,210,211,214,212,231,255,255,236,190,146,110,102,105,207,221,219,219,219,223,189,175,184,141,199,220,217,216,216,211,214,216,213,233,255,255,239,194,150,115,94,132,226,219,221,222,221,226,178,161,177,146,167,225,218,219,218,213,215,217,214,235,255,255,239,199,156,122,89,167,232,222,224,222,225,199,169,177,174,149,157,226,220,220,220,215,217,217,214,237,255,255,241,201,156,131,92,135,198,214,214,224,208,155,171,181,168,139,196,225,221,220,220,215,217,218,216,240,255,255,241,198,161,139,109,91,107,125,133,158,154,154,171,172,152,172,227,223,221,221,221,217,217,221,217,245,255,255,239,198,174,154,122,99,110,117,134,144,145,153,166,156,151,219,227,224,224,223,222,217,219,222,219,249,255,255,238,203,189,165,135,106,121,134,145,150,154,148,149,139,201,230,226,226,224,224,223,219,222,222,220,249,255,255,242,215,198,168,139,118,126,141,147,150,152,146,127,168,231,228,228,227,226,226,225,221,223,223,224,252,255,255,245,228,201,169,141,126,122,140,146,145,147,138,141,220,230,229,229,227,227,228,228,222,223,224,227,254,255,255,249,232,201,164,136,126,121,137,142,140,140,138,213,231,228,229,229,229,228,227,228,222,223,224,231,255,255,255,249,228,187,141,121,119,120,135,136,142,128,190,236,230,230,230,230,230,229,228,228,224,226,226,244,255,255,253,238,206,153,109,107,108,117,126,132,133,156,232,232,232,231,232,231,230,230,229,229,210,195,177,180,177,160,153,134,117,98,82,79,90,110,118,121,143,222,234,233,234,232,234,234,231,232,231,230
7,186,187,186,187,187,187,187,187,186,186,185,184,183,182,181,181,180,179,178,176,173,172,172,169,167,166,164,161,189,188,188,188,189,189,189,188,187,187,188,187,186,185,184,182,181,179,179,178,176,175,174,171,170,168,166,163,189,189,190,190,190,190,191,191,190,189,190,189,188,188,186,184,183,182,181,180,178,176,173,173,173,170,169,166,191,190,192,192,192,192,191,193,192,192,190,190,190,189,187,186,185,184,182,182,182,181,179,178,176,173,171,168,192,193,193,194,194,193,193,193,194,194,192,190,190,189,189,190,191,189,187,182,176,167,162,160,166,176,173,171,194,194,195,194,194,194,194,194,194,196,197,196,197,193,189,176,159,149,139,145,131,110,136,164,133,167,177,172,196,195,195,196,195,196,197,200,199,192,186,176,161,146,132,130,113,103,118,111,107,103,120,133,113,173,178,173,196,197,197,197,197,199,193,171,149,136,127,130,128,123,121,116,104,89,94,82,85,80,63,85,125,144,169,178,199,198,198,198,201,186,159,139,112,113,124,118,119,113,111,94,92,99,88,85,91,83,82,77,66,79,107,174,197,196,200,199,176,158,159,140,104,95,90,86,91,97,107,116,122,123,93,72,94,83,72,65,51,76,78,165,197,201,193,164,154,159,154,139,124,109,106,112,124,131,127,128,116,107,80,56,61,50,48,55,59,74,123,180,202,193,159,151,155,154,146,146,141,129,127,121,123,118,105,98,84,71,55,64,96,124,146,161,174,181,185,180,195,159,152,154,156,149,154,151,133,97,76,83,87,73,65,94,107,126,151,180,197,199,196,192,189,185,182,181,163,159,159,159,156,155,151,132,110,61,53,61,48,43,34,101,204,207,203,199,192,189,188,188,187,186,182,181,159,164,161,158,157,148,125,119,95,63,51,37,34,35,37,14,118,208,193,195,193,192,190,189,187,185,183,181,161,162,158,162,152,132,121,115,109,111,89,44,36,40,29,40,156,200,194,194,191,191,188,187,185,182,185,184,156,159,166,161,141,120,112,107,117,127,88,41,37,32,42,155,208,195,195,194,194,190,187,188,191,192,173,102,157,163,162,144,114,100,100,97,102,94,54,33,31,12,100,218,194,198,195,194,192,196,198,187,159,113,65,41,158,157,140,116,106,105,104,91,84,71,54,38,37,17,95,209,194,201,201,200,204,171,124,86,53,38,35,41,151,134,115,114,113,109,100,74,60,70,74,49,28,65,193,210,204,183,172,171,136,71,45,34,39,38,39,39,126,114,115,110,96,80,63,57,67,84,71,35,51,161,173,152,110,60,54,49,41,38,51,38,25,32,37,40,117,117,105,83,71,68,66,69,68,60,40,59,82,75,64,62,29,26,39,25,38,30,30,36,14,23,32,39,118,111,91,82,83,80,70,58,49,46,81,94,69,56,52,48,42,13,34,23,25,23,23,24,10,17,27,36,104,83,71,71,68,63,53,51,68,92,96,68,52,46,39,32,32,16,16,25,16,20,20,16,5,12,27,33,62,41,51,57,63,66,74,90,101,91,50,45,42,37,27,31,26,21,4,20,12,15,19,10,6,15,25,31,29,67,96,99,105,101,98,98,91,63,39,26,34,35,22,26,21,21,0,9,14,12,19,7,7,17,22,28,45,101,102,99,105,97,95,91,70,33,29,23,21,31,16,19,11,16,3,2,13,11,18,3,10,16,22,26,59,102,101,98,99,98,91,75,43,14,30,25,11,27,10,16,5,14,11,0,11,13,15,5,14,15,24,24
11,138,141,145,148,151,152,155,156,158,159,159,160,159,160,160,160,160,159,158,157,157,154,152,152,151,149,146,144,140,145,147,150,152,154,157,158,160,161,161,161,160,161,162,161,160,160,159,158,158,156,154,153,151,150,149,147,143,147,150,152,155,158,159,161,163,163,164,163,163,156,145,164,161,161,160,159,158,157,156,155,154,152,150,151,147,150,152,155,158,161,163,164,165,165,166,165,168,173,104,164,165,163,163,162,160,160,159,156,155,153,155,133,149,153,155,158,160,164,166,166,168,168,168,166,175,184,93,159,168,166,165,165,164,162,160,159,157,157,155,86,150,155,158,161,164,166,167,168,170,170,172,168,187,181,83,159,170,169,167,166,166,165,163,161,160,161,142,55,153,157,159,164,167,168,170,171,174,175,173,172,208,177,87,169,172,170,170,169,167,167,165,165,164,166,128,44,156,160,163,166,168,170,173,174,174,164,183,163,202,163,96,175,174,173,173,172,170,170,168,167,166,167,140,65,159,163,166,168,171,174,173,201,182,116,161,140,103,141,99,159,178,175,175,175,174,173,171,171,169,167,159,82,161,164,168,171,174,173,198,218,201,155,99,121,86,110,94,132,184,178,177,177,176,175,174,174,172,170,169,104,163,166,170,173,174,189,229,179,185,176,108,92,88,121,99,138,186,181,180,180,179,178,177,175,174,172,173,147,165,169,172,175,179,222,204,143,139,173,99,85,82,120,98,145,188,184,184,182,181,180,179,177,176,175,173,168,167,171,174,174,202,229,173,134,149,149,73,91,81,111,90,158,189,186,186,186,183,183,181,179,178,178,176,173,168,172,176,175,214,219,158,108,115,122,73,89,80,107,86,178,190,187,187,186,185,183,182,180,180,179,178,176,170,174,177,176,221,220,172,121,78,76,99,74,91,105,90,190,191,189,188,187,187,185,184,183,182,181,180,178,171,176,179,179,231,220,165,111,76,62,105,71,118,108,67,155,198,192,191,191,187,181,177,175,181,185,182,180,173,177,181,184,240,218,165,120,83,64,74,62,112,97,58,82,175,190,179,161,147,137,132,120,114,151,186,181,174,179,181,190,241,215,168,129,95,74,77,85,102,104,98,98,106,123,130,142,147,132,111,101,87,105,187,184,175,180,182,192,238,212,169,133,101,81,84,125,150,151,140,127,111,115,129,131,114,97,114,156,170,175,186,184,177,182,185,192,237,214,178,142,110,88,101,149,149,137,131,123,107,97,95,101,134,163,190,196,194,191,187,185,179,184,185,198,236,217,184,144,121,98,114,143,142,131,114,108,87,81,128,185,199,198,195,193,193,192,188,186,180,186,183,212,238,217,181,141,121,103,112,125,130,120,98,84,105,169,202,202,199,196,196,194,194,193,190,188,182,186,188,232,231,201,165,131,110,103,112,110,115,108,83,133,200,206,201,201,199,198,197,196,195,194,192,190,183,184,223,239,219,190,153,125,108,107,110,97,94,92,150,209,208,204,202,201,200,199,198,196,195,195,194,192,182,192,240,230,204,181,149,129,114,104,97,82,118,186,211,208,206,205,203,202,201,201,199,198,197,195,194,193,180,206,239,222,179,149,140,127,107,95,78,107,199,213,208,207,207,207,205,204,203,202,200,200,199,196,195,193,182,221,237,213,158,127,121,113,96,83,87,185,214,210,210,209,209,207,207,204,204,203,201,201,200,197,195,194,192,233,234,200,136,120,114,104,85,74,155,215,212,213,212,210,210,208,207,205,205,204,203,202,201,199,197,196
5,185,186,186,186,187,187,187,186,186,185,185,185,184,183,182,181,180,177,176,175,174,173,172,170,169,169,167,167,191,190,190,190,191,191,190,190,191,188,187,187,186,185,185,184,183,181,179,177,178,176,174,172,170,170,169,169,195,195,196,195,194,195,195,194,195,194,192,191,191,191,185,187,185,180,184,180,179,179,178,175,174,172,170,168,198,198,198,197,196,200,200,198,197,197,196,195,193,188,190,210,144,155,193,183,182,180,179,177,176,174,172,169,201,201,202,201,205,189,198,204,200,200,199,196,200,192,174,134,105,177,191,186,186,185,183,180,179,177,175,172,204,206,208,203,229,156,161,216,204,204,200,213,203,143,116,144,185,196,192,190,188,188,186,184,183,180,178,176,210,209,211,208,224,131,159,220,208,201,210,205,137,125,201,212,206,200,196,196,198,192,189,187,186,183,180,179,214,213,213,215,207,126,187,221,204,185,177,129,132,184,151,153,152,153,152,148,174,190,193,191,189,186,184,183,217,217,217,218,189,130,209,222,205,160,118,125,208,125,107,120,143,158,160,158,154,176,148,187,193,189,188,187,220,220,221,221,204,130,189,228,197,149,117,142,158,113,119,112,121,121,110,123,131,130,135,195,193,191,189,188,223,224,223,224,210,132,174,236,186,145,121,117,129,129,100,82,78,76,81,88,92,95,170,202,199,194,192,191,225,226,227,226,202,146,127,223,186,133,99,98,113,107,82,87,100,95,112,113,139,159,147,132,192,202,194,193,228,230,230,232,191,161,153,153,155,135,114,97,90,71,82,109,87,119,161,166,188,164,153,145,142,196,199,195,231,230,232,234,229,181,180,164,133,140,124,95,93,82,86,85,128,219,226,222,216,189,194,186,139,199,201,198,233,233,234,233,237,221,181,198,190,154,109,87,81,94,79,152,228,221,216,218,187,184,193,137,172,211,200,200,235,235,236,237,235,241,213,203,204,171,129,82,83,76,112,243,227,220,226,201,161,191,155,131,213,208,205,203,237,237,238,239,238,240,235,200,212,184,140,86,84,79,124,206,218,236,214,181,174,168,100,181,221,209,208,206,238,239,239,239,241,242,240,210,217,193,149,98,84,105,103,120,146,178,169,174,169,109,147,223,214,213,210,208,239,240,240,240,241,241,242,205,222,204,154,109,86,105,108,123,149,130,145,170,119,144,230,218,215,214,212,209,240,241,242,242,242,242,244,205,226,203,154,126,90,97,109,122,145,149,125,119,129,228,223,220,218,216,213,210,244,243,244,245,244,244,245,207,229,203,161,140,97,92,111,129,142,134,99,96,218,230,224,223,220,218,215,213,246,245,246,246,246,247,244,211,223,200,168,140,101,87,114,126,131,109,88,206,236,227,226,225,222,219,217,214,247,246,248,248,247,248,246,211,210,192,166,141,103,85,111,114,114,74,156,248,228,231,228,227,225,222,219,216,248,247,248,248,249,250,246,211,206,192,163,141,103,88,104,111,92,94,232,237,234,232,230,229,227,223,219,218,249,249,249,249,249,252,242,213,209,189,163,138,102,89,99,91,75,199,246,235,236,233,232,230,227,224,222,219,250,251,251,250,252,254,237,220,213,193,170,129,95,87,76,79,195,251,237,239,237,234,232,231,228,225,224,220,249,249,250,251,252,251,232,220,210,197,163,115,90,75,116,224,252,242,241,239,239,236,233,232,230,226,225,223,248,249,249,251,251,245,220,200,205,188,148,103,87,87,232,254,238,243,241,238,237,235,232,231,230,227,225,223
2,172,173,174,176,175,176,176,177,177,176,175,175,174,173,174,174,172,171,170,167,168,167,164,163,161,159,158,157,174,175,176,177,178,178,178,179,178,177,177,176,178,179,178,177,177,176,176,174,168,167,166,164,164,162,160,158,177,178,179,179,179,180,180,180,180,179,179,180,168,158,162,161,153,147,139,153,177,168,166,166,165,164,162,160,178,179,179,180,181,181,181,181,182,181,182,172,150,144,147,147,136,116,98,87,134,172,172,167,166,165,163,161,180,180,181,182,183,183,184,182,184,184,175,151,150,154,145,147,151,110,103,114,116,119,145,169,167,167,165,163,181,182,183,184,184,185,185,185,186,186,176,165,156,139,126,125,116,67,73,98,107,77,73,162,172,167,165,163,182,182,184,185,186,187,187,188,189,182,176,169,150,123,100,84,96,132,151,124,103,82,119,174,170,169,166,165,183,184,186,186,186,189,189,190,185,166,164,149,116,69,47,97,190,187,186,186,180,175,180,174,171,169,167,165,185,186,187,187,188,189,190,191,182,162,150,112,69,52,44,145,194,181,181,179,179,179,175,174,172,171,168,166,184,186,188,189,189,190,191,191,181,163,116,65,49,39,83,190,185,185,183,181,180,178,178,180,178,172,170,168,185,187,189,190,191,192,193,188,183,161,109,50,49,34,130,199,185,187,185,183,180,182,175,148,141,168,172,170,187,188,189,191,193,193,193,185,182,154,104,51,58,47,125,200,186,188,187,184,184,177,123,91,80,127,178,169,187,188,190,192,193,195,193,185,178,146,83,55,66,49,137,200,188,189,187,187,183,129,102,104,85,123,181,169,188,190,192,193,194,195,191,187,177,138,87,73,65,49,160,199,188,190,189,189,136,99,108,96,84,164,176,172,188,191,193,193,195,196,188,187,176,142,98,77,61,47,116,207,192,188,196,151,83,90,101,75,127,185,174,174,189,192,192,193,194,198,188,185,174,140,101,77,60,60,60,112,176,200,156,104,84,84,79,80,180,178,176,174,190,192,195,195,194,197,188,183,167,138,110,76,60,62,68,63,88,122,86,89,100,79,71,159,184,178,178,175,192,194,196,196,197,196,186,182,168,138,103,73,59,61,66,75,79,71,75,88,80,81,168,190,179,180,178,175,191,194,195,196,198,197,182,187,179,134,103,79,58,63,68,71,81,84,76,81,77,172,191,181,182,181,178,176,193,194,195,196,197,193,181,194,174,130,101,80,60,63,70,73,79,86,78,56,155,197,182,183,181,180,179,177,193,195,196,198,199,189,184,192,164,122,101,83,61,63,73,78,81,84,63,124,197,187,186,185,183,181,180,179,193,196,197,198,201,187,186,186,156,118,102,84,61,65,77,81,85,68,83,198,190,188,188,187,184,182,180,179,194,195,197,198,200,185,187,176,146,120,104,82,61,65,79,77,78,50,154,201,190,190,188,187,186,184,181,181,194,196,198,200,200,184,180,163,137,116,98,79,60,65,78,77,50,109,204,192,193,191,189,187,185,184,182,180,194,195,197,199,197,184,172,159,134,113,96,77,61,66,76,52,92,198,196,194,192,191,190,187,186,184,182,180,194,196,197,199,195,182,163,151,125,106,90,74,63,60,46,97,196,201,195,195,194,192,191,188,186,185,183,180,194,196,198,198,195,178,160,148,123,102,85,72,52,66,147,202,201,197,196,196,194,193,192,188,187,185,183,180,193,196,197,195,193,173,157,143,124,99,80,62,48,165,216,197,198,199,196,196,193,191,191,188,186,184,182,180
10,129,130,131,131,131,132,132,133,132,132,132,132,132,130,130,129,127,127,124,125,124,122,121,120,119,118,116,117,134,135,135,136,135,136,135,136,136,135,135,135,134,134,132,130,130,128,131,122,120,125,123,121,120,120,118,117,139,139,139,141,141,141,141,141,140,140,139,139,138,137,136,133,133,128,152,121,87,130,124,122,122,121,121,119,143,143,143,144,145,144,145,144,144,144,143,142,142,140,138,137,137,132,157,127,75,127,127,125,124,123,122,120,148,148,148,148,148,149,148,147,148,148,147,146,146,144,142,141,141,137,158,127,74,126,133,128,127,125,123,122,152,152,152,152,153,153,151,152,152,153,152,151,149,148,147,145,144,142,159,118,70,127,137,131,129,128,127,125,156,156,155,156,157,157,156,156,157,157,156,154,153,152,150,149,148,145,165,131,74,129,141,135,133,132,130,127,160,161,160,160,160,161,161,160,161,161,161,158,157,155,154,153,151,151,171,126,104,133,143,139,136,135,132,130,162,162,163,164,164,164,164,163,164,165,163,162,161,160,158,157,154,164,167,147,127,98,151,141,139,137,135,133,165,165,166,167,167,167,167,166,167,168,166,165,165,163,161,160,155,143,147,164,119,69,152,145,142,140,139,136,168,168,169,170,169,168,169,169,169,169,169,168,167,167,165,165,163,141,120,131,132,60,110,159,145,144,141,139,171,171,170,171,171,172,172,171,172,172,171,171,169,169,165,161,176,174,140,102,93,87,56,139,153,147,143,143,173,172,174,174,175,175,174,175,175,176,175,175,176,173,146,116,110,148,156,151,108,78,61,92,162,147,147,147,175,175,176,177,177,177,177,177,177,177,177,160,136,162,164,134,78,42,143,159,94,57,50,93,164,151,150,149,178,178,179,179,180,179,178,179,179,177,176,159,123,110,177,158,114,32,40,81,87,68,46,105,167,153,154,151,180,180,180,180,182,181,181,181,181,179,174,175,162,117,140,178,128,73,30,39,139,107,50,112,169,157,155,152,181,181,182,182,182,182,182,183,182,180,151,143,168,137,95,159,137,87,42,66,139,135,59,110,173,159,158,155,182,183,183,183,184,184,184,185,182,181,162,108,127,131,54,108,146,81,49,77,129,135,58,103,173,159,159,157,184,185,185,186,186,186,186,186,185,175,152,112,91,114,65,73,149,122,68,86,127,101,50,115,174,160,161,158,186,187,187,187,187,188,187,188,185,177,173,150,97,103,102,72,133,157,95,76,112,73,50,148,171,163,162,160,187,188,187,188,188,189,188,189,186,180,187,160,122,102,100,88,140,141,81,65,98,62,68,173,167,165,164,162,188,188,188,188,189,189,189,189,190,177,186,174,142,114,107,128,183,164,112,89,91,55,100,182,167,167,165,163,190,190,189,190,191,191,192,192,193,178,175,174,152,127,119,137,180,176,149,112,87,48,132,182,169,169,166,164,190,190,191,191,191,193,194,193,195,182,166,172,159,148,132,137,174,168,133,99,77,55,164,177,171,169,168,165,189,189,189,190,191,192,193,192,194,191,165,164,167,163,137,127,163,148,119,89,55,84,185,173,173,170,169,167,189,190,190,191,191,193,193,193,193,196,174,151,162,154,136,114,138,130,102,78,39,132,184,171,172,169,168,165,190,191,192,193,192,194,194,195,194,195,191,161,157,147,132,114,119,129,101,61,68,178,176,173,171,169,167,169,191,192,193,193,193,194,195,195,195,195,191,174,158,141,133,124,114,126,96,47,127,189,174,175,172,169,171,135
4,128,131,133,136,140,143,147,151,152,154,157,159,160,162,165,165,166,166,167,168,169,170,169,169,169,169,168,168,129,132,134,137,141,145,149,152,154,155,158,160,162,164,163,162,165,168,168,169,170,171,171,171,171,171,170,169,131,134,135,139,142,146,150,152,155,157,159,161,164,171,160,140,148,166,164,162,169,172,173,173,173,172,171,171,132,135,137,140,144,148,151,154,159,163,156,152,164,184,168,135,123,145,147,130,148,171,174,175,175,174,173,173,134,136,138,142,146,150,153,155,170,184,166,149,150,180,176,151,124,119,136,115,113,157,176,177,177,176,176,176,135,137,138,142,147,151,154,157,183,205,190,166,141,160,180,159,130,104,128,121,103,138,175,178,178,178,177,177,136,138,139,143,148,152,156,160,178,198,202,184,147,137,175,164,129,97,123,125,102,130,176,179,179,179,179,178,137,139,141,145,150,153,167,175,172,173,178,176,141,112,144,154,118,90,116,121,98,129,176,180,180,180,179,179,137,139,142,146,150,155,186,199,189,175,150,130,114,90,104,122,97,80,100,103,92,135,178,181,181,181,180,180,138,139,143,147,151,157,188,190,183,172,134,94,85,79,77,95,83,72,86,82,84,145,180,182,183,182,181,181,138,140,143,147,152,159,177,150,136,140,115,81,73,80,71,90,103,115,122,91,83,150,182,183,183,183,183,183,140,141,144,148,153,160,170,129,98,111,111,84,75,89,94,115,147,167,152,109,90,132,172,182,184,185,184,184,141,142,145,149,154,160,172,141,110,102,109,93,95,123,133,147,167,171,142,110,96,101,129,162,180,185,185,185,142,143,146,150,155,159,174,155,126,100,91,81,95,134,135,142,149,140,117,103,101,98,98,112,148,181,186,186,142,144,147,151,156,160,175,164,127,97,81,70,72,100,108,113,113,105,94,96,101,103,99,94,108,165,187,187,143,145,148,153,157,160,175,173,139,111,92,78,67,68,85,102,106,100,91,92,101,108,103,96,102,157,187,187,144,145,148,153,157,160,175,182,155,122,102,87,75,73,95,127,138,135,126,114,110,115,105,98,114,166,188,188,144,146,149,154,158,161,174,184,161,135,119,99,86,84,114,157,173,173,162,142,124,115,104,103,136,180,189,189,144,146,149,154,158,162,173,185,166,150,133,107,92,92,125,173,185,181,166,143,122,107,100,112,161,188,190,191,145,146,150,155,158,162,171,182,169,157,135,106,95,98,127,173,178,170,157,137,116,102,101,129,179,191,192,191,146,147,150,155,159,163,169,179,169,153,129,104,100,104,129,164,165,158,147,128,109,102,108,151,189,193,192,192,146,147,150,155,160,164,169,177,170,150,126,107,109,113,135,157,155,149,135,117,104,103,122,171,192,193,193,193,145,147,151,156,161,164,169,175,171,149,126,119,123,121,134,148,145,136,120,106,101,109,145,185,193,194,194,194,146,147,151,157,161,165,169,173,170,151,134,131,129,120,120,128,126,118,106,100,102,123,171,192,195,195,195,194,146,148,152,157,161,165,169,172,173,159,140,131,123,111,104,107,106,102,99,101,105,143,188,196,196,196,195,195,146,148,152,157,161,166,170,172,175,167,141,121,110,101,98,99,99,99,100,101,101,148,192,196,196,196,195,195,147,149,153,158,162,166,170,173,175,171,142,112,99,96,97,101,101,99,100,97,93,138,191,196,196,197,197,197,148,149,153,158,162,166,170,174,175,171,148,117,104,103,104,106,103,99,98,95,91,128,187,196,196,197,198,198
22,138,142,146,148,150,152,155,158,159,159,162,163,163,163,162,162,163,163,163,162,161,162,161,159,158,157,156,156,142,145,148,151,153,155,157,160,162,162,163,165,165,165,170,158,148,165,164,164,164,164,164,162,160,159,158,157,144,148,151,153,156,157,159,162,165,173,144,159,168,167,186,152,113,166,167,166,165,166,165,164,163,162,161,160,145,150,153,156,159,160,162,164,171,186,118,145,172,171,189,149,114,168,169,168,150,152,167,165,165,164,164,164,147,152,156,159,162,164,165,166,173,183,120,138,175,173,183,142,119,171,171,171,132,122,170,168,167,166,166,165,150,153,158,161,163,165,167,169,172,187,132,130,177,176,178,145,127,175,176,178,126,123,173,171,170,168,168,167,151,155,159,162,165,167,169,172,173,192,149,126,177,178,181,152,130,176,182,180,122,137,175,173,172,170,170,170,154,158,162,165,168,170,172,175,175,196,165,124,173,180,176,148,128,178,191,179,117,154,177,174,174,172,172,172,157,161,165,167,169,172,174,176,177,196,169,117,162,181,176,144,129,182,196,173,115,167,179,177,176,175,174,173,157,162,166,168,171,174,176,178,178,200,188,124,149,184,185,141,132,189,195,153,115,176,181,179,178,178,176,175,159,163,167,170,173,176,178,180,181,193,189,130,143,186,186,133,142,200,198,132,127,183,181,181,180,179,178,177,161,165,169,172,174,177,180,184,199,188,177,148,142,166,175,133,161,206,184,114,152,187,184,183,182,181,180,179,162,166,170,173,176,179,181,190,216,183,186,198,180,142,137,173,184,190,158,109,173,188,186,185,184,183,182,182,163,167,171,176,179,181,183,194,210,173,139,197,200,155,103,143,160,164,128,119,186,188,187,187,185,185,184,183,165,170,174,177,181,183,184,198,202,180,114,121,185,181,133,95,113,122,99,138,191,189,189,188,186,186,185,184,168,172,175,179,183,186,186,209,204,168,121,82,131,197,172,116,87,87,85,160,193,191,189,188,187,187,186,186,170,174,177,180,184,187,188,214,193,153,122,116,126,192,201,153,111,84,84,172,195,193,191,190,189,187,187,187,170,175,179,182,186,188,190,219,202,159,140,148,158,215,203,166,132,86,86,183,196,195,193,192,191,189,188,188,171,177,181,184,187,190,193,221,199,160,146,168,198,226,193,155,123,79,94,191,196,195,195,193,192,191,190,189,173,178,183,186,189,192,195,221,204,174,163,170,217,218,182,137,110,77,119,199,197,197,196,195,195,193,191,189,174,179,184,187,190,194,196,220,209,183,174,171,222,205,167,127,100,76,145,202,199,199,197,197,196,194,193,191,175,180,184,188,192,194,196,216,209,190,183,177,214,188,154,119,93,74,157,204,201,200,200,198,197,195,194,193,177,181,185,189,192,195,197,211,212,198,192,178,205,173,143,112,86,75,168,204,202,202,202,200,199,197,196,196,177,181,186,190,193,197,199,204,212,201,195,176,201,164,135,104,83,84,181,205,203,203,202,201,201,199,198,197,178,183,187,191,195,198,200,203,212,196,181,162,185,155,135,107,81,105,198,206,205,204,203,202,201,200,199,198,179,184,188,193,196,199,201,204,214,189,164,161,183,144,142,111,76,146,208,207,207,206,205,203,202,201,201,199,180,185,190,194,197,200,201,205,225,205,184,179,185,140,145,96,86,188,210,209,207,206,206,206,204,202,202,200,179,184,189,193,197,200,201,205,228,215,200,192,179,137,135,84,113,204,210,209,207,207,207,206,205,203,202,201
16,103,104,108,112,120,129,134,139,144,146,147,149,152,157,160,164,165,166,167,169,172,172,173,175,176,176,178,179,103,105,108,113,121,129,136,141,145,147,147,150,154,158,159,162,165,168,169,170,172,173,174,175,177,177,177,179,103,105,109,113,122,130,136,142,146,146,148,151,154,158,160,164,165,168,170,171,172,174,175,177,177,178,179,179,104,107,109,113,123,131,137,141,146,148,150,153,156,158,162,164,166,168,169,171,173,175,176,177,177,178,179,180,104,107,109,114,124,133,139,143,147,149,152,153,159,162,163,167,171,170,171,173,175,176,178,178,178,180,180,180,104,107,110,116,126,134,142,143,147,150,150,150,151,146,137,131,140,172,173,173,177,178,179,179,181,182,182,182,106,108,111,118,127,135,137,145,153,149,138,127,118,107,101,104,98,114,170,179,177,179,181,182,182,183,183,184,107,109,110,119,126,133,149,163,156,136,112,109,107,98,92,99,108,90,106,173,181,179,183,184,184,184,185,185,106,110,113,115,126,156,169,146,124,107,92,103,104,95,91,99,103,95,95,108,184,181,184,185,185,185,186,186,108,111,104,132,158,152,121,110,105,94,92,106,104,93,95,102,101,95,110,83,134,192,183,185,186,187,187,187,106,105,140,168,136,110,94,97,97,83,100,111,102,94,102,103,94,102,108,97,87,179,186,185,188,190,190,190,102,174,185,132,105,94,86,85,109,134,107,94,75,96,109,99,79,106,106,97,79,127,198,186,190,190,190,191,125,206,148,118,96,82,100,133,190,189,120,75,78,80,101,87,71,115,103,93,90,77,157,196,188,190,191,191,110,162,127,101,99,143,198,194,200,179,136,90,84,80,72,55,80,121,100,103,103,96,91,165,196,190,192,193,106,113,115,107,182,200,197,187,199,173,138,103,89,83,47,35,88,119,99,110,112,112,98,102,194,193,193,194,110,111,113,132,202,183,198,192,195,160,126,105,101,93,85,43,73,113,98,108,116,106,98,80,164,201,193,194,110,113,108,149,210,184,203,194,180,139,102,105,109,102,97,78,55,96,105,142,130,99,89,75,127,206,193,195,110,113,106,174,212,182,203,191,161,120,109,114,116,112,98,89,58,68,148,177,173,155,125,72,127,207,194,197,111,114,107,181,211,178,181,173,123,99,102,120,115,104,100,92,84,71,169,191,191,192,188,147,155,203,196,198,110,113,109,159,217,177,133,124,92,90,97,102,99,92,89,86,100,84,163,198,193,196,199,187,143,162,204,198,110,112,115,133,188,132,102,96,96,104,109,101,86,83,87,81,86,75,137,207,188,193,193,172,135,117,203,199,111,111,118,127,146,109,95,110,105,93,87,84,77,75,77,74,87,103,108,165,182,182,181,159,115,142,206,199,112,113,118,130,139,139,100,98,84,101,103,109,104,85,75,93,103,110,101,87,109,151,161,143,155,199,203,201,112,112,119,130,144,134,90,91,82,87,151,124,101,94,81,70,70,62,60,60,38,111,206,196,206,204,202,202,111,113,119,130,143,116,92,87,90,75,57,78,59,48,41,37,37,39,38,41,28,87,213,201,202,202,203,204,111,113,119,133,135,102,91,84,81,92,51,30,51,49,42,36,36,37,38,39,29,161,211,199,202,203,204,206,110,113,119,134,120,94,88,82,79,82,77,27,42,51,42,37,36,36,38,32,55,200,201,202,204,205,205,206,110,113,120,131,102,90,87,81,77,80,85,35,31,46,41,37,36,35,39,23,101,218,199,203,205,206,206,206
23,80,90,104,112,116,120,124,126,128,130,132,135,136,139,139,141,143,143,144,145,146,148,149,150,151,152,152,153,81,91,106,112,117,121,125,128,130,132,133,137,138,139,141,142,142,144,145,145,148,148,150,150,151,152,152,153,83,94,108,113,118,121,125,128,130,132,135,137,139,141,142,143,143,144,146,145,149,150,152,152,152,153,154,155,85,96,109,113,119,122,125,128,132,135,137,138,139,143,144,145,146,148,148,149,150,150,152,151,153,156,155,155,85,98,110,115,121,124,127,130,133,135,138,138,139,142,144,145,147,149,148,149,149,151,153,157,155,156,157,157,87,99,112,116,121,125,128,131,134,135,138,140,142,144,145,146,148,148,150,153,141,142,145,108,145,160,157,158,89,102,113,116,122,126,129,132,136,138,139,141,143,145,146,146,146,156,164,151,127,115,95,81,153,159,158,159,92,105,114,118,123,125,129,134,136,138,141,142,144,146,146,151,161,157,152,112,79,105,111,149,162,159,160,162,92,107,115,120,124,127,130,133,136,138,141,143,145,146,143,174,160,125,99,81,131,143,165,162,160,162,163,164,93,108,116,120,123,127,131,134,136,138,141,145,145,146,146,180,162,96,89,165,157,86,144,163,160,163,163,164,94,108,114,120,124,128,132,134,138,139,143,145,146,146,151,183,163,143,181,174,134,100,120,173,162,164,165,164,95,109,116,121,126,129,134,136,137,140,142,145,146,147,158,181,168,182,170,145,134,144,113,129,138,167,164,165,96,111,116,121,126,130,134,137,139,140,142,145,149,147,159,170,165,167,156,163,163,150,105,66,84,155,171,166,98,111,116,120,126,131,134,137,139,141,142,147,148,150,160,158,152,162,167,158,147,130,89,52,54,108,175,167,100,112,117,121,128,131,135,138,139,141,146,146,154,168,160,148,150,155,149,144,146,124,77,49,55,64,109,168,101,113,117,122,128,132,135,138,140,143,146,142,173,185,155,151,151,151,148,141,124,105,75,52,48,74,68,129,102,113,118,122,127,131,136,138,140,142,145,144,161,189,166,166,148,120,102,88,91,111,74,49,43,71,73,145,104,114,119,124,127,132,137,139,142,142,145,146,155,183,169,155,135,119,80,33,92,117,73,51,61,75,97,175,105,115,119,124,128,133,138,141,143,143,146,148,159,177,155,145,155,109,65,51,107,93,49,50,80,75,136,179,106,115,118,123,129,134,137,142,144,144,148,148,157,181,154,159,157,98,42,48,54,33,42,63,82,91,172,173,108,115,119,124,128,133,138,140,143,145,148,149,158,176,156,165,147,111,61,18,23,42,69,79,72,126,178,171,109,115,120,125,129,135,138,140,143,145,147,149,160,172,157,169,148,110,76,28,47,72,85,87,83,163,172,172,110,115,120,125,130,136,139,142,144,145,149,148,162,171,162,168,149,111,86,43,59,83,90,80,116,180,170,174,110,115,120,127,131,134,139,142,144,147,150,149,165,170,165,165,144,113,84,46,66,88,90,73,141,179,172,175,110,115,120,127,131,135,139,142,144,146,150,150,167,173,160,155,140,112,85,60,65,88,84,80,166,174,173,174,110,115,121,128,130,134,140,143,144,147,151,151,165,171,154,149,134,111,88,72,65,84,72,110,180,170,173,173,110,115,122,127,130,134,139,143,145,148,150,151,166,169,155,149,131,114,95,76,69,77,75,160,176,172,173,174,109,115,121,126,131,135,139,144,146,147,151,151,173,168,157,150,132,117,99,78,72,69,124,179,171,175,175,175
21,82,97,114,128,137,142,152,161,167,173,176,180,182,185,188,189,191,192,191,191,190,190,189,187,186,185,184,183,82,98,116,129,138,143,154,163,170,175,179,182,186,189,192,194,195,196,196,195,194,194,193,192,191,190,189,188,83,99,117,131,139,145,156,165,172,182,184,146,170,195,196,198,199,200,200,200,199,197,198,197,196,195,194,193,85,101,118,133,140,147,158,167,173,186,190,137,125,196,199,201,202,202,203,204,202,166,178,202,200,199,198,197,86,102,120,134,141,149,160,169,175,184,199,157,103,178,202,203,205,206,206,208,212,152,126,203,205,203,202,202,88,105,122,136,143,151,162,171,178,184,209,173,104,148,207,207,207,207,208,210,219,161,107,194,209,207,206,206,89,107,124,138,145,152,164,173,180,185,209,188,110,117,204,209,209,210,212,214,222,163,105,179,213,210,209,209,90,109,126,140,147,155,166,174,181,187,202,198,127,103,190,211,212,212,214,217,219,156,106,170,215,213,212,211,92,110,127,142,148,157,168,177,184,189,199,214,158,109,167,214,213,215,216,218,216,160,111,170,217,214,214,214,93,112,130,144,150,159,171,180,186,192,197,221,176,115,139,214,215,216,217,221,217,166,113,176,219,216,215,215,95,114,132,146,151,161,173,181,187,193,196,222,188,119,117,206,217,218,219,225,209,158,114,186,221,219,219,219,97,116,134,148,153,162,173,182,188,194,198,222,203,135,111,190,219,220,221,228,197,149,110,197,223,209,184,151,99,117,135,149,154,164,175,184,190,195,199,216,219,164,119,166,220,221,222,231,199,149,108,162,133,97,75,61,100,119,137,150,156,166,177,185,192,197,200,206,207,169,123,140,219,222,224,229,192,149,94,64,52,50,49,58,101,120,138,151,157,167,179,186,192,197,206,197,159,139,121,120,210,223,223,216,179,139,80,47,44,48,42,46,100,120,138,150,156,167,178,186,192,196,217,207,177,177,122,102,185,216,205,193,165,122,69,41,36,48,46,38,102,121,139,151,157,168,179,186,193,197,226,230,213,203,137,98,121,160,173,172,144,102,51,48,33,38,50,44,102,122,140,151,157,169,180,187,193,194,221,236,229,203,151,108,93,109,142,154,129,90,31,40,45,31,41,47,101,121,140,151,158,169,180,188,197,165,166,200,225,204,178,133,114,110,106,114,111,85,27,23,48,41,31,40,109,123,138,147,154,165,175,190,212,169,144,140,190,178,185,160,143,138,105,81,89,82,36,13,35,50,37,34,105,106,111,115,118,122,124,173,222,203,173,129,131,149,144,158,153,147,126,92,76,74,49,11,21,45,47,38,107,107,108,109,110,112,109,172,203,208,190,144,102,103,108,98,127,152,149,124,94,69,56,17,13,36,48,44,110,111,111,112,114,114,112,173,179,167,191,160,104,77,101,80,82,163,178,159,129,90,62,29,9,24,45,44,111,112,112,114,116,116,114,183,195,158,161,169,118,93,89,92,81,141,200,187,157,119,82,46,12,15,39,45,111,112,112,113,115,116,115,184,196,160,119,137,140,131,100,103,105,147,170,204,179,137,102,71,23,8,30,45,111,112,112,112,114,116,114,172,197,149,111,106,131,148,120,124,136,170,165,195,192,150,113,89,37,7,18,39,111,111,112,113,114,115,112,150,194,157,138,119,113,131,141,153,170,187,208,193,176,133,119,94,46,16,10,28,110,111,111,113,113,114,112,136,202,179,153,125,123,135,158,176,203,208,211,186,155,104,112,89,48,27,7,16
19,108,115,121,127,131,133,135,138,142,145,148,151,153,155,157,158,160,161,163,165,166,167,168,168,168,169,169,169,109,116,122,129,131,134,137,139,144,147,150,153,156,158,158,160,163,164,165,166,169,169,169,169,168,171,170,170,110,119,124,130,133,135,138,142,145,150,153,155,157,159,159,163,164,166,167,168,169,170,176,160,169,171,171,171,113,120,127,131,135,137,139,144,147,150,164,158,138,150,162,164,165,168,169,170,170,183,188,116,158,171,172,172,114,121,128,133,136,138,142,146,150,151,193,164,130,110,160,165,166,168,176,179,188,182,135,106,166,174,174,173,115,122,130,135,137,139,143,148,150,152,184,178,139,127,164,177,170,174,186,180,161,128,106,153,174,177,175,175,116,123,131,137,139,141,150,142,146,154,171,181,174,175,173,170,162,148,158,145,112,120,160,176,176,177,177,176,118,125,132,137,138,175,177,151,143,147,160,167,159,149,142,143,133,116,114,119,150,175,177,178,178,179,178,179,119,126,134,138,143,192,160,149,152,160,167,165,156,144,139,121,123,100,162,175,179,179,180,179,179,180,180,180,119,127,135,137,159,175,144,141,148,162,166,164,161,152,130,96,94,113,180,181,180,181,181,180,181,181,182,182,120,127,135,136,181,179,156,153,159,154,145,141,139,119,105,87,79,140,181,182,182,182,182,181,183,183,183,183,122,129,136,142,212,190,171,165,165,160,157,150,130,88,85,84,81,162,182,183,183,183,183,183,185,184,184,183,124,130,138,147,205,186,164,149,141,148,149,142,117,87,81,86,91,173,182,184,186,186,186,185,185,185,186,185,124,132,138,145,188,179,152,129,109,102,116,117,114,89,83,87,113,182,184,185,186,187,187,187,187,187,187,186,125,133,139,144,181,178,150,106,89,64,69,110,118,93,87,89,110,184,185,186,187,187,188,189,189,189,187,187,127,135,142,142,180,180,152,113,82,55,94,115,111,85,82,83,93,179,187,188,188,189,190,190,190,190,190,190,126,135,143,139,180,179,152,121,97,70,71,73,69,67,76,84,90,176,188,189,190,190,190,191,190,191,190,190,127,136,143,138,186,182,154,127,102,88,80,66,66,73,79,85,93,178,188,189,189,191,191,190,191,191,190,190,129,137,143,136,185,180,153,125,104,95,92,77,71,75,81,85,103,183,188,190,192,193,193,192,192,193,192,192,130,137,143,135,177,172,149,123,103,95,91,80,74,79,84,89,127,189,189,192,193,193,193,193,194,194,193,193,131,137,144,138,174,167,144,117,101,94,91,82,79,84,87,91,163,190,191,193,193,194,195,195,195,195,195,195,132,139,145,147,177,163,140,114,99,93,93,88,85,88,89,117,185,190,192,194,195,195,195,195,195,195,195,195,132,140,144,152,179,162,135,111,98,95,96,91,87,89,128,178,189,191,193,194,194,195,196,195,195,195,196,196,133,141,145,158,171,158,136,116,101,97,95,91,86,120,180,187,190,192,194,195,195,196,196,196,197,197,197,197,134,140,145,167,167,151,133,116,100,90,87,86,87,159,185,188,192,193,194,196,197,197,197,197,198,199,198,197,134,141,146,182,164,147,123,107,95,84,81,83,94,172,187,191,193,194,195,197,197,198,199,199,199,199,200,200,134,141,152,185,169,150,130,117,114,89,80,81,105,180,187,191,192,194,195,196,196,198,199,199,199,199,200,200,134,144,150,174,170,153,136,127,120,89,80,79,107,181,186,188,191,193,195,196,197,197,198,198,199,199,199,199
2,72,79,92,108,118,125,131,136,138,141,145,148,151,154,156,158,160,161,162,164,165,165,166,166,166,167,167,166,73,80,94,109,119,126,133,137,139,142,145,149,152,154,157,159,161,162,164,166,167,167,168,168,167,168,168,168,74,82,96,111,121,128,134,138,140,144,147,154,154,150,154,156,158,162,164,166,168,169,169,170,170,170,170,169,75,83,98,113,123,130,135,139,142,145,156,174,171,160,157,151,149,153,154,153,161,169,171,172,171,171,171,171,77,85,101,115,124,130,136,146,150,149,164,178,176,177,176,163,144,131,130,127,137,160,171,172,172,172,172,172,78,87,103,116,125,131,142,169,174,170,173,170,159,154,157,164,152,121,103,116,137,140,158,173,173,173,173,173,78,88,104,117,126,133,157,182,175,175,180,177,166,144,123,128,145,133,107,107,121,115,144,172,174,175,175,175,80,90,106,118,127,139,169,168,155,157,159,155,160,156,137,130,127,132,135,121,102,121,158,173,175,176,176,176,82,91,107,119,129,149,171,171,166,159,149,142,152,147,142,140,117,107,127,122,109,150,173,175,175,177,177,177,83,93,109,122,142,170,177,175,166,157,151,147,142,115,99,107,106,114,122,118,132,167,176,176,176,178,178,177,84,95,111,128,166,176,158,143,125,111,111,110,102,86,74,90,136,160,161,159,168,176,178,178,177,179,179,178,84,96,113,143,178,155,119,95,78,72,72,74,76,73,69,93,157,174,175,177,178,176,172,167,167,175,179,179,85,98,120,164,168,130,95,71,60,63,63,65,69,68,64,88,157,175,177,178,172,155,137,129,129,147,174,179,87,100,141,179,147,107,81,66,61,61,62,66,66,62,60,78,150,177,178,171,143,122,120,122,118,120,163,180,89,105,161,175,132,100,82,70,61,59,62,65,64,62,63,70,131,176,176,147,122,125,132,129,119,123,167,182,89,109,166,164,124,97,79,66,57,58,63,66,67,67,68,69,100,155,159,124,126,134,129,124,133,158,180,184,90,112,166,158,121,91,71,60,56,58,65,71,73,75,79,81,82,100,122,120,128,124,114,137,170,182,185,185,91,115,168,156,118,88,69,61,57,60,69,76,82,87,93,97,92,80,104,122,119,103,111,165,185,186,186,186,91,118,168,156,123,94,75,65,58,62,72,84,94,101,106,109,106,93,109,121,107,94,133,181,188,188,188,187,93,121,166,152,124,98,82,71,62,63,76,94,107,112,117,120,117,104,108,118,102,102,159,188,189,189,189,188,94,121,162,148,125,103,89,78,67,66,81,104,117,122,126,128,122,108,103,112,99,116,175,190,190,190,190,190,95,118,157,146,126,109,95,82,69,67,86,110,121,126,127,128,119,105,97,102,114,153,187,192,193,193,192,192,96,116,151,144,127,112,97,83,72,71,89,109,118,121,121,119,110,97,98,129,164,186,193,194,194,194,194,193,96,112,147,145,127,112,96,83,75,77,93,106,110,111,111,109,99,96,131,175,189,192,193,194,194,194,194,193,96,111,147,148,128,110,95,86,81,83,97,102,104,103,102,99,99,125,170,188,190,191,193,193,193,194,194,193,97,118,154,150,128,110,99,92,86,84,93,95,94,94,96,110,139,171,187,190,191,192,193,194,194,194,194,193,104,140,157,153,131,112,103,95,87,80,80,81,81,93,129,159,179,187,189,190,191,192,193,194,194,194,195,198,120,156,145,147,133,112,99,90,81,75,73,72,71,101,163,181,185,187,189,190,191,192,193,194,194,195,196,198
10,131,133,135,138,138,140,142,142,144,144,144,145,146,149,151,151,150,150,151,151,151,152,152,151,149,150,151,151,134,136,139,141,142,143,145,146,146,147,147,148,150,151,153,148,150,152,153,153,153,153,154,153,152,152,152,152,139,141,143,145,147,148,149,150,151,151,152,153,154,155,169,132,132,156,156,157,157,157,157,156,155,153,153,153,143,146,149,149,151,153,153,154,155,155,157,157,157,158,179,132,115,160,159,159,160,160,160,159,158,157,156,155,147,149,153,154,156,156,157,158,159,159,161,161,160,163,185,138,109,161,162,163,164,163,161,161,161,160,159,159,152,153,156,159,160,160,161,162,164,164,164,164,164,166,189,148,111,163,166,166,166,166,164,164,164,163,161,160,155,157,161,164,163,163,165,168,160,164,169,169,169,170,193,157,114,164,171,170,169,169,168,167,166,165,164,163,159,161,164,166,166,167,169,173,127,109,150,151,164,175,196,166,114,161,174,174,173,173,172,171,169,169,169,167,162,164,167,169,171,172,173,157,99,64,84,94,124,179,198,170,112,159,178,177,177,176,175,174,173,172,172,170,165,168,170,172,174,174,176,171,113,68,81,80,93,179,205,176,112,161,181,180,180,180,179,177,176,175,174,173,167,171,174,175,176,177,179,182,159,105,134,100,81,163,178,159,109,164,184,183,183,183,183,182,180,179,178,177,170,174,177,179,179,179,184,193,163,99,171,144,95,114,109,120,101,165,188,187,187,187,186,184,183,182,181,180,173,176,179,181,183,182,183,203,167,80,144,168,119,76,75,93,93,167,190,189,190,189,188,187,186,184,183,182,176,179,182,184,192,200,190,202,176,95,92,178,149,94,76,93,87,166,192,191,192,192,191,190,189,187,187,186,178,181,183,186,191,206,186,190,185,126,65,156,175,123,84,88,85,168,196,194,194,194,193,192,192,191,189,188,180,184,186,188,188,179,162,153,208,163,72,104,182,149,100,78,82,165,198,196,195,195,195,195,194,194,191,189,183,186,188,190,191,181,157,132,177,133,62,85,160,161,126,81,79,167,201,199,198,198,197,197,196,194,193,192,186,188,190,191,193,194,158,141,129,77,79,122,153,159,129,83,75,172,203,201,200,200,201,199,197,195,195,195,187,189,192,194,196,205,184,149,124,103,157,192,170,144,119,84,81,179,203,202,202,201,201,200,199,198,197,197,189,192,193,196,198,212,190,169,163,155,207,209,175,132,110,86,97,195,203,203,204,202,202,200,200,200,199,198,191,194,194,196,199,209,200,186,178,171,214,201,167,129,102,85,114,204,205,204,204,204,203,202,202,201,201,200,192,194,196,198,200,207,202,183,181,176,208,188,156,124,98,82,121,208,207,207,206,206,205,203,203,203,202,201,194,196,198,201,200,202,203,194,191,173,193,179,147,118,93,80,127,209,208,208,208,208,207,207,206,204,202,202,195,197,199,200,201,200,198,197,189,167,187,176,141,112,92,83,138,210,209,209,209,209,208,207,207,205,204,204,196,199,200,201,203,202,198,193,177,156,174,169,140,115,95,87,163,212,210,210,209,208,209,208,207,207,206,205,196,198,200,200,202,202,206,186,163,155,170,155,149,130,96,100,195,213,213,213,212,210,210,210,209,209,208,207,196,198,200,202,203,200,212,198,181,172,167,159,162,137,90,132,210,214,215,214,214,214,213,212,211,210,209,208,194,196,199,201,201,193,210,205,191,178,161,161,155,126,87,172,215,214,214,214,214,213,214,214,212,211,209,208
15,89,85,84,83,85,87,88,89,92,102,115,127,136,145,152,156,157,162,165,171,177,180,184,187,189,191,195,197,89,85,84,84,84,86,89,89,92,103,115,128,136,146,153,158,158,162,167,172,177,181,186,189,190,193,196,199,89,85,84,83,83,87,91,90,93,104,117,128,137,146,153,158,159,162,168,173,178,182,187,190,192,196,197,200,88,85,84,83,86,86,85,87,92,105,118,128,138,147,153,158,160,163,168,174,178,184,189,191,194,197,198,201,89,86,85,85,83,89,120,101,97,105,119,130,139,147,156,160,161,162,168,174,180,185,189,192,195,196,198,202,89,86,86,87,72,171,176,136,130,126,121,123,138,147,148,149,157,165,173,178,181,184,188,192,195,197,199,203,90,88,86,85,76,166,150,124,125,124,110,123,128,130,126,120,125,132,146,165,181,189,195,195,195,197,201,204,90,87,86,86,80,99,112,93,100,92,88,120,111,112,107,120,132,123,122,126,139,150,165,184,203,199,202,204,90,87,85,84,86,85,85,85,89,84,87,95,90,88,88,124,130,125,127,131,134,126,109,107,145,209,202,205,90,88,85,83,85,88,88,89,95,107,120,119,120,117,105,113,111,109,101,122,147,138,121,117,83,144,216,203,90,88,84,84,84,85,87,87,94,109,121,136,144,152,157,144,110,94,120,149,152,148,118,128,121,72,168,219,90,87,83,84,85,85,87,86,94,109,123,131,141,163,164,144,125,131,193,147,158,131,138,150,129,105,83,191,90,85,84,83,85,85,87,87,95,110,120,137,190,174,135,116,113,109,182,125,114,140,180,135,156,138,87,91,88,85,82,81,82,84,84,84,94,111,111,171,210,132,108,114,117,85,117,94,82,204,151,129,170,151,112,71,88,84,82,82,82,82,84,84,92,111,111,164,183,111,112,134,140,132,107,79,102,182,100,118,172,161,122,85,88,84,82,80,80,81,82,83,95,111,112,153,162,91,125,143,151,143,110,97,107,112,108,132,154,145,117,86,85,83,80,80,80,81,82,83,95,110,112,158,209,118,115,145,157,141,99,92,105,108,123,132,121,100,93,81,84,84,81,80,79,82,82,82,93,110,112,161,180,198,153,117,113,101,87,96,103,106,113,125,117,81,75,76,85,83,80,80,78,80,82,81,91,111,109,205,184,171,189,138,95,56,60,91,107,111,121,135,118,82,76,75,85,82,79,80,78,80,81,82,92,108,117,156,174,189,177,162,137,78,25,37,64,120,120,123,100,79,78,79,75,72,70,69,69,70,72,73,84,100,115,124,136,160,152,154,130,117,59,38,51,114,135,112,92,88,91,91,127,122,118,114,111,105,105,106,112,120,127,136,144,147,130,119,136,166,109,44,69,82,131,143,126,115,105,97,131,127,126,125,123,123,127,128,123,121,118,116,121,125,127,124,126,195,129,72,90,72,89,114,114,104,93,86,114,113,113,111,111,113,114,112,112,114,107,103,108,111,113,116,105,132,112,115,120,112,109,97,86,85,82,77,120,120,121,119,119,120,122,122,119,121,121,119,122,123,122,123,124,120,122,123,126,125,135,135,107,87,81,76,121,122,124,123,122,121,122,122,121,122,123,122,122,122,120,123,123,124,123,125,121,120,135,149,131,109,89,98,122,124,124,124,123,121,123,124,123,125,124,124,125,123,122,122,124,123,124,124,123,122,117,133,178,120,123,133,121,122,123,121,122,121,122,122,122,123,123,123,124,123,122,124,126,124,124,123,123,123,121,120,218,204,176,165
2,171,172,173,173,173,174,175,174,174,173,174,173,172,173,172,171,170,169,168,166,166,165,163,161,160,158,157,156,172,173,174,175,175,176,176,176,177,176,175,174,174,174,174,173,172,172,171,168,166,166,163,161,160,158,157,156,174,175,176,177,178,178,178,178,178,177,177,176,172,162,162,163,158,152,146,151,166,166,164,163,162,161,159,158,177,177,178,179,179,179,180,180,180,179,179,174,157,146,146,147,143,124,105,100,135,164,168,165,164,163,161,160,178,179,179,180,180,180,181,181,181,181,179,166,153,148,139,134,138,111,92,106,118,122,141,164,166,164,163,161,179,180,181,181,182,183,183,182,183,183,180,171,159,142,123,109,98,75,72,90,98,81,82,151,169,166,164,161,180,181,183,183,184,184,185,185,184,178,169,163,145,108,80,70,85,101,137,135,110,88,111,162,168,167,165,163,181,182,184,185,185,186,186,187,186,174,160,141,108,68,50,65,157,177,179,178,172,165,170,171,169,168,166,164,182,183,185,186,186,188,188,188,186,173,148,103,67,52,51,99,181,182,180,180,178,176,175,173,171,170,168,166,184,185,186,187,188,189,189,189,186,174,139,77,49,45,59,149,185,183,181,180,179,177,176,175,172,171,169,167,185,186,187,188,189,189,191,189,185,171,133,73,49,46,84,181,185,185,183,181,180,179,174,163,158,168,170,167,186,187,189,190,191,191,192,187,182,166,119,64,57,56,94,185,186,186,184,182,181,176,141,110,102,140,172,169,187,188,188,190,193,193,193,187,182,161,110,72,65,58,106,188,187,187,185,183,179,145,112,103,92,129,173,170,188,189,190,191,193,194,193,185,182,160,115,84,65,55,122,192,188,188,187,183,152,112,110,99,93,155,173,171,188,190,192,193,194,194,191,184,181,158,115,87,64,55,94,181,190,188,188,160,104,95,99,87,124,174,173,172,189,192,193,193,195,195,191,184,178,153,119,89,63,59,64,103,157,188,164,118,91,86,85,90,165,177,174,173,190,192,193,194,194,196,191,184,178,152,117,84,63,61,65,70,88,125,102,93,96,83,80,140,180,178,176,174,191,192,194,195,195,196,188,185,185,153,114,87,64,61,66,72,79,79,77,86,85,88,147,181,180,179,177,174,191,193,194,196,196,197,185,190,185,147,110,87,65,62,68,72,80,83,76,80,87,153,184,183,181,180,177,175,191,192,194,196,198,196,184,192,177,139,107,89,67,62,70,74,80,83,75,71,143,187,184,182,181,180,178,175,192,194,195,197,199,195,185,189,169,133,108,90,67,63,73,78,81,79,72,125,184,187,184,182,181,180,179,176,193,194,196,198,199,192,185,184,158,130,110,88,67,64,77,80,80,68,96,183,189,187,185,184,183,180,179,178,194,195,197,199,200,191,181,172,149,125,105,84,65,64,76,75,70,69,156,193,190,188,187,186,183,181,180,178,194,195,197,198,199,190,178,165,145,120,102,82,64,64,73,70,64,130,192,193,190,190,187,186,185,182,179,179,194,195,197,198,197,188,171,158,137,113,96,79,65,63,64,64,122,191,195,193,192,191,188,186,185,183,180,179,194,196,197,198,196,187,166,155,134,111,91,75,61,58,76,139,192,197,195,193,192,191,189,186,184,183,181,180,194,196,197,197,194,182,163,150,133,109,85,66,54,106,178,199,199,197,195,194,192,190,189,187,185,183,182,180,194,196,198,196,187,164,151,146,129,101,74,58,71,177,202,200,199,197,196,195,193,192,191,188,185,184,182,179
4,150,149,149,148,146,146,145,144,144,144,142,142,142,140,138,137,135,135,133,131,129,128,126,124,122,123,122,120,151,151,151,149,148,148,148,147,146,145,144,143,143,140,138,138,136,135,135,133,132,129,128,126,125,123,123,122,151,151,151,150,151,150,148,148,149,148,147,144,144,142,140,139,137,134,134,134,134,131,131,129,127,124,123,122,154,153,152,151,153,152,151,152,150,149,147,147,147,148,146,141,141,143,136,134,133,133,132,130,127,126,125,123,156,156,156,155,153,153,153,151,149,149,149,137,126,130,129,137,114,109,139,139,137,137,131,130,129,128,126,125,157,157,157,155,154,154,154,152,151,152,150,136,127,121,96,67,75,67,75,130,125,129,138,130,130,128,127,125,158,158,156,156,156,157,156,155,152,137,138,119,78,44,103,48,6,78,61,36,41,35,93,140,129,129,127,125,159,158,157,158,158,158,156,155,149,147,137,123,86,8,58,59,0,52,59,5,11,27,19,136,132,130,129,126,159,160,160,159,160,159,158,158,155,107,63,93,119,37,46,79,68,56,37,0,43,58,7,100,142,130,131,128,160,160,161,160,160,159,159,156,158,118,35,0,127,89,50,81,110,88,44,46,44,69,29,85,145,130,130,129,161,162,161,160,162,161,160,160,146,88,29,0,29,65,12,36,53,84,59,58,47,58,30,53,147,131,132,131,163,164,163,163,162,162,161,162,138,94,66,38,0,8,9,0,0,42,76,56,45,44,42,19,134,135,132,131,164,164,164,162,161,163,162,160,144,124,88,43,4,8,26,15,20,14,28,38,43,76,73,7,103,143,131,130,164,165,165,163,164,165,163,160,150,112,64,31,3,8,19,31,53,36,7,27,113,103,80,21,64,148,130,131,166,166,166,166,166,166,161,162,148,104,62,19,1,8,25,47,51,40,49,68,84,105,100,51,34,144,132,132,167,168,166,167,168,167,162,161,153,122,81,32,8,19,35,55,53,61,100,121,99,103,107,61,11,131,137,132,169,168,168,169,169,168,166,159,148,124,91,43,11,17,39,67,78,89,110,116,111,95,72,47,0,123,139,133,169,169,169,169,169,169,167,158,147,136,104,63,22,15,42,70,95,114,125,120,99,82,55,14,8,138,137,134,168,169,169,169,169,169,167,157,141,141,114,78,43,17,28,88,112,131,129,116,89,68,42,0,66,150,135,135,169,170,170,169,169,171,169,155,137,136,119,86,52,28,30,105,124,130,123,104,75,55,19,0,135,140,137,136,170,170,170,168,168,168,169,151,131,130,128,97,59,45,43,111,125,122,113,90,62,42,0,66,154,137,139,136,171,170,170,169,169,169,172,151,129,132,129,103,72,55,56,112,120,117,97,70,50,21,0,137,144,141,138,137,172,170,169,171,171,170,172,157,136,141,134,108,81,53,54,110,111,104,82,49,34,0,69,158,141,142,140,138,172,170,169,172,171,172,173,163,140,147,130,109,89,58,47,98,98,84,60,38,1,5,147,147,144,143,141,140,172,172,172,175,173,172,173,163,152,146,128,113,94,69,50,75,81,62,42,19,0,112,157,145,143,143,142,140,172,172,174,174,173,171,174,163,152,141,125,109,91,79,60,58,66,47,27,0,60,163,146,147,145,143,142,140,172,173,174,175,174,173,171,157,151,142,129,118,106,91,74,50,51,32,0,11,155,151,150,148,147,144,142,140,173,174,174,175,175,176,159,147,153,143,125,121,105,85,76,50,38,19,0,100,164,148,151,148,147,145,142,141
10,95,102,112,119,123,127,131,133,136,139,141,143,144,146,148,149,150,152,154,155,156,157,159,159,160,161,162,163,96,103,114,120,124,128,131,134,137,140,142,143,145,147,149,151,148,146,154,156,158,159,160,161,162,163,164,165,98,106,116,121,125,129,132,135,138,141,143,144,146,149,151,156,145,129,149,158,159,161,162,163,164,166,166,167,100,107,117,122,126,130,134,137,139,142,144,146,148,150,153,162,149,119,141,159,161,162,164,165,166,167,168,168,100,109,118,123,127,131,135,138,140,142,144,146,149,151,153,163,153,121,136,159,162,164,165,166,167,168,168,169,101,110,118,123,127,132,136,138,140,143,145,147,149,150,153,162,159,129,131,159,163,165,166,167,168,168,169,170,103,111,120,124,128,133,136,139,141,143,145,149,150,137,145,163,166,138,125,157,164,165,167,168,169,169,170,171,105,113,121,125,130,134,137,140,142,144,147,153,151,120,123,160,167,143,121,152,166,167,168,169,170,171,172,172,106,114,122,126,130,135,138,139,140,141,146,156,148,117,107,151,161,140,117,148,167,169,169,169,170,171,172,172,107,115,122,127,131,137,141,126,115,113,121,144,153,129,105,136,153,131,112,142,167,169,170,170,172,173,173,173,108,116,123,127,131,138,135,111,90,83,88,109,147,140,106,119,139,121,108,134,167,170,171,172,173,174,175,175,110,118,123,128,133,137,133,116,96,86,89,94,133,147,114,110,122,107,103,127,166,171,172,173,174,175,175,175,110,118,124,129,133,138,140,138,134,119,97,88,128,153,122,101,100,95,99,119,164,172,173,174,175,176,175,175,111,118,123,129,133,138,141,145,160,147,102,86,138,159,128,92,82,89,98,113,160,173,174,175,176,176,176,176,111,118,124,129,133,137,142,148,164,152,105,84,148,164,133,94,77,88,97,104,153,173,175,175,176,176,176,176,112,119,124,129,134,139,154,159,166,154,105,87,158,165,133,97,77,85,93,96,144,174,175,176,177,177,178,178,113,120,125,130,134,139,162,167,163,150,110,118,167,160,131,96,76,81,87,89,140,173,175,176,177,178,178,179,114,120,125,130,135,139,154,163,156,148,135,164,171,155,131,98,79,79,81,93,150,174,175,176,178,178,179,179,115,120,125,131,135,140,146,150,143,154,166,185,172,150,129,101,81,78,78,108,164,174,175,176,178,179,179,180,116,120,126,131,136,140,145,151,144,163,185,188,169,146,125,101,83,75,80,130,171,175,176,177,178,179,180,180,116,121,126,130,135,140,147,163,157,156,183,184,166,144,123,102,83,73,90,151,174,175,176,177,179,180,180,180,116,121,126,131,135,139,149,173,167,155,180,181,165,143,122,103,84,75,110,165,174,175,177,178,179,180,180,180,117,121,126,131,135,139,152,180,177,167,183,179,166,144,123,104,83,80,135,171,174,176,178,179,179,179,180,181,117,121,126,131,135,140,155,184,181,174,182,179,170,148,124,104,82,95,156,174,175,177,178,179,180,180,180,181,117,121,127,132,136,140,154,183,179,176,179,179,175,152,123,102,83,115,167,174,175,176,178,179,180,181,181,181,118,121,126,132,136,140,153,177,174,174,178,178,175,153,123,98,88,137,171,174,176,177,178,179,180,181,181,182,118,122,127,132,136,140,150,169,173,179,180,177,172,149,119,95,103,157,173,174,176,177,178,179,180,181,181,182,117,121,127,132,136,140,148,170,180,184,180,173,168,145,115,92,117,166,173,174,176,177,179,180,180,181,181,182
19,149,153,156,161,165,169,172,174,177,179,181,183,184,185,185,186,187,187,185,185,185,183,183,183,182,181,181,181,150,155,158,162,166,170,173,175,178,180,182,184,185,185,186,188,188,186,186,186,186,186,185,185,183,183,182,182,151,155,161,165,168,172,174,177,179,181,184,185,185,187,188,188,189,188,188,187,187,187,186,186,186,186,185,183,151,156,162,166,170,173,175,178,180,182,184,186,187,189,190,189,189,189,190,189,189,188,188,187,187,187,187,185,153,157,162,167,171,174,176,179,181,184,185,187,189,188,187,191,190,190,192,192,190,190,189,188,188,187,187,186,154,158,162,168,172,176,179,181,182,185,186,187,194,182,144,171,192,192,193,193,191,191,190,190,190,188,187,186,155,159,164,170,174,177,180,182,184,186,188,189,204,187,124,120,191,194,194,193,192,193,192,191,190,189,188,188,156,160,165,171,175,178,181,184,186,187,189,191,210,194,131,97,180,196,195,193,193,194,194,192,191,191,190,189,157,161,167,172,176,179,181,183,185,187,189,188,202,182,131,90,162,195,193,192,191,193,190,190,190,191,191,190,158,162,167,173,177,179,186,185,157,145,160,169,163,152,136,120,135,155,163,156,153,160,147,174,191,176,192,192,158,162,168,173,178,180,195,181,144,135,140,148,155,152,146,136,131,142,159,148,145,149,143,186,193,149,191,193,160,164,170,175,178,189,199,185,151,110,104,109,132,136,137,123,120,125,134,132,130,130,131,149,151,158,195,193,160,166,171,175,182,201,209,191,146,94,82,90,94,95,96,92,97,108,120,123,124,130,138,152,175,192,195,194,160,166,171,177,197,209,211,178,136,101,86,93,98,91,69,100,166,188,191,191,194,198,198,199,199,196,195,195,161,167,171,191,211,213,215,190,144,99,83,84,102,102,83,83,160,205,203,202,203,202,202,200,200,198,197,196,163,167,179,208,213,215,221,199,145,94,78,76,89,105,96,80,83,188,205,204,204,204,202,201,201,200,199,198,164,168,198,213,215,220,219,198,146,97,80,85,85,82,81,86,74,172,208,205,205,205,204,203,202,201,200,199,162,183,213,214,216,218,215,198,156,103,78,75,93,90,71,62,90,194,208,206,206,206,206,205,203,202,201,200,170,205,214,214,215,214,215,206,168,107,81,70,84,93,83,61,141,210,207,207,207,207,206,205,204,203,201,201,201,216,214,214,210,210,214,197,153,110,90,81,78,75,83,74,178,211,208,207,207,208,207,206,205,204,203,202,218,210,213,208,199,197,193,173,137,118,108,97,89,73,62,96,199,210,209,209,208,208,208,207,206,205,203,202,210,207,205,199,195,191,181,166,145,125,109,104,97,82,64,158,214,210,209,210,210,209,209,208,207,206,205,204,203,200,201,195,193,191,179,164,161,139,103,93,98,88,76,179,215,211,210,210,210,210,209,208,207,207,207,206,198,200,198,188,188,186,171,153,149,124,77,72,92,83,120,208,212,212,211,210,210,210,210,209,208,207,207,205,198,201,188,177,174,170,151,128,112,88,57,66,88,95,182,212,210,210,209,209,209,209,209,209,208,206,206,205,198,195,177,156,151,148,124,97,88,83,77,92,121,175,209,209,209,210,210,209,209,209,209,208,208,207,206,206,185,182,168,140,118,113,99,82,86,163,180,188,203,210,210,210,210,211,211,211,210,209,210,208,208,208,207,206,164,171,163,127,86,67,62,53,127,204,207,208,209,210,210,211,212,213,212,212,211,210,210,209,209,208,207,206
5,191,194,196,199,201,203,207,207,208,208,209,211,211,210,211,211,211,211,210,212,211,210,210,209,210,211,211,211,193,196,198,201,204,206,207,209,210,211,212,212,212,212,213,213,213,213,213,214,213,213,213,213,213,213,213,213,194,196,199,202,206,208,210,211,212,212,213,214,214,214,208,207,216,215,215,215,215,216,217,216,215,214,214,214,196,198,202,205,207,210,211,212,213,214,214,217,213,225,199,156,220,217,217,217,218,218,218,219,217,216,216,215,197,201,204,205,209,211,212,216,217,216,217,215,225,228,177,172,221,218,219,219,219,221,221,220,220,219,217,217,199,202,205,208,212,213,217,195,208,220,218,221,245,178,159,220,221,219,219,218,220,218,218,223,222,221,220,219,201,203,207,209,213,211,231,164,178,226,214,246,225,142,206,226,220,219,227,229,225,175,176,231,222,223,223,221,201,205,208,210,211,219,227,143,196,225,221,237,174,167,230,220,221,237,237,202,185,160,200,228,223,225,225,223,202,206,209,212,211,234,193,149,225,222,220,192,145,208,227,218,232,232,179,151,198,218,228,225,225,226,226,225,203,206,210,212,211,240,180,168,229,221,201,164,152,231,214,216,209,159,161,216,232,228,226,228,226,226,226,226,204,207,211,213,213,241,182,172,232,216,196,173,158,230,202,212,152,151,226,230,226,227,227,229,229,228,228,227,205,207,210,213,216,237,185,165,231,214,199,164,169,208,195,197,138,200,234,227,229,227,229,228,229,230,228,227,205,209,212,215,216,226,221,169,207,219,201,142,165,175,191,174,157,225,230,231,230,229,226,231,231,230,230,229,206,209,213,217,218,218,234,205,166,207,182,166,140,152,176,158,187,236,228,224,230,237,215,179,232,231,230,229,205,208,212,213,219,213,224,237,187,169,163,155,145,148,148,158,208,230,223,231,241,219,226,179,201,240,230,231,205,209,211,214,218,218,219,246,222,176,143,136,137,139,140,167,189,217,231,216,190,168,196,212,174,212,235,230,206,210,213,214,217,220,219,240,231,181,138,134,135,133,139,166,178,185,197,156,160,211,214,208,164,188,235,229,207,211,214,215,217,220,219,233,237,182,135,130,132,129,138,152,160,145,156,186,227,220,219,177,171,236,231,231,208,211,213,215,218,220,219,231,240,188,136,127,131,131,134,144,140,152,219,237,224,217,192,147,227,236,232,232,210,214,216,219,220,221,221,228,242,196,142,126,129,134,130,136,118,180,245,228,217,207,147,168,241,229,232,232,190,196,203,206,209,214,214,221,240,203,150,126,128,129,133,150,157,165,209,220,219,179,141,221,242,236,236,237,134,135,139,140,142,150,141,196,249,210,160,128,130,130,133,153,176,187,166,208,220,164,155,208,207,211,213,215,139,138,137,137,136,139,126,196,247,215,171,132,127,134,143,164,182,193,178,198,198,145,136,136,138,139,142,142,139,139,139,146,145,146,134,201,243,219,177,137,129,134,164,184,197,189,162,163,161,143,149,145,149,147,143,141,137,137,138,141,141,145,135,192,240,222,183,148,139,130,173,191,192,172,145,134,138,150,154,149,147,143,166,202,138,138,139,140,140,143,133,191,234,218,185,159,146,127,166,188,182,154,134,136,145,148,146,137,163,207,233,225,138,139,140,140,139,142,134,208,237,214,190,165,145,128,148,169,159,140,134,145,150,145,141,192,244,237,221,207,137,137,139,140,140,140,136,221,237,210,185,154,136,126,136,145,139,134,143,147,150,147,209,253,233,219,211,192
21,172,173,175,179,182,183,183,184,185,188,188,186,187,187,187,188,188,187,186,186,186,185,185,184,183,182,181,180,174,175,178,180,182,183,186,187,187,188,189,188,186,188,190,190,189,188,188,188,188,187,186,185,185,183,182,181,175,177,179,181,184,185,187,188,188,188,214,192,169,189,193,192,192,191,190,190,190,189,188,188,186,185,185,184,178,179,182,184,186,187,188,189,191,192,224,209,153,181,194,193,193,193,194,193,193,192,192,191,189,188,187,185,179,181,184,186,188,189,190,192,194,193,207,226,164,160,194,195,196,196,195,195,194,194,195,181,190,190,190,187,181,183,185,188,190,193,193,194,195,194,197,232,200,162,189,196,198,198,197,198,196,205,194,140,187,192,192,191,182,184,187,190,192,194,194,195,196,196,196,227,226,173,172,198,200,200,199,200,196,219,185,132,190,195,194,193,184,186,189,192,195,196,196,198,198,199,200,216,236,182,155,199,201,200,201,200,208,220,171,148,196,196,196,195,185,187,191,193,196,197,198,199,200,200,203,207,239,195,152,193,202,202,202,202,224,211,155,174,199,198,197,196,187,189,192,194,197,198,199,200,201,202,204,221,227,208,152,177,204,205,204,209,221,192,139,192,200,200,200,198,188,191,194,196,198,200,201,201,201,202,214,246,229,207,159,140,198,206,205,225,215,167,150,202,202,201,201,199,190,193,195,198,200,201,202,203,205,220,223,225,232,209,182,156,172,204,212,226,207,147,185,205,204,203,202,200,192,194,197,200,201,201,203,206,209,242,225,205,232,222,216,206,166,164,196,203,178,145,205,206,206,204,202,201,194,196,199,201,202,204,206,207,216,222,222,204,174,172,222,217,170,127,155,163,139,172,208,208,208,206,204,202,195,198,201,202,205,207,209,208,220,222,178,153,116,114,177,222,185,132,126,134,124,198,209,208,208,207,206,205,196,199,202,203,206,208,210,209,226,212,177,171,138,127,140,229,210,153,115,117,132,210,211,210,209,208,206,206,198,200,203,205,207,209,210,210,234,233,207,175,145,146,144,223,228,173,121,107,149,213,213,212,211,210,209,208,199,201,204,206,209,210,212,212,243,235,192,164,150,165,170,233,239,193,138,106,157,214,214,213,212,211,211,210,201,203,206,207,209,211,213,214,243,224,187,171,176,185,197,249,239,199,152,115,157,216,214,214,213,212,212,212,201,204,207,208,211,213,214,216,246,235,204,189,189,198,226,253,235,196,155,116,159,217,216,216,215,214,213,213,201,205,207,208,210,212,214,215,246,240,216,194,202,211,243,253,234,190,158,119,160,219,217,217,216,216,215,214,201,205,207,208,210,212,215,215,244,246,223,200,204,221,251,251,232,189,155,119,168,218,217,217,216,215,215,214,203,205,207,209,211,214,215,215,241,249,226,213,209,232,253,243,224,185,151,116,174,219,217,217,217,216,215,213,203,206,208,210,213,215,217,218,236,251,233,230,222,237,252,240,216,183,144,114,173,221,220,219,219,219,217,215,204,206,208,212,214,216,217,218,227,251,241,239,233,230,243,223,206,178,135,110,174,223,221,221,220,220,218,210,204,207,210,213,216,218,220,220,222,247,247,241,229,219,225,206,195,174,129,106,183,223,222,223,223,220,211,150,204,207,210,214,216,218,220,221,220,239,249,236,213,198,204,200,188,174,125,104,206,225,224,224,215,175,132,103,187,192,196,199,202,204,208,212,203,211,244,225,195,176,187,202,180,165,114,115,222,224,225,215,151,114,103,93
10,58,67,81,87,92,98,101,103,107,111,113,115,117,118,120,122,125,127,128,129,130,131,133,133,135,136,137,138,59,68,82,89,93,98,102,104,108,111,114,116,118,120,123,124,120,121,131,130,132,134,135,135,137,138,140,141,60,72,86,91,94,100,102,105,110,114,115,117,119,122,123,134,120,80,131,132,134,135,138,138,140,142,142,143,63,73,86,91,95,100,105,108,111,113,116,119,121,124,122,144,131,66,118,137,135,138,139,141,142,142,143,145,64,76,87,92,96,101,105,109,112,115,116,120,123,124,122,145,135,72,106,140,136,140,141,142,143,143,145,146,64,77,88,92,96,103,108,110,112,115,117,118,122,129,125,138,142,88,94,144,136,140,141,143,144,145,145,146,67,79,90,92,99,104,108,110,112,115,117,122,129,100,123,141,154,106,79,144,139,141,142,145,146,145,146,148,69,82,91,95,100,105,108,111,114,115,117,125,140,73,81,147,151,120,70,135,143,143,144,145,146,148,149,150,70,83,92,95,101,106,107,114,120,122,122,138,123,79,49,140,141,116,67,129,146,145,145,144,147,148,148,148,72,84,92,96,100,108,123,93,83,79,89,130,137,103,51,116,138,103,63,117,149,145,146,147,149,149,150,150,73,85,92,96,100,112,113,71,43,38,34,59,140,121,54,82,126,88,63,105,152,145,148,149,150,152,152,152,74,88,92,98,103,110,104,79,50,36,61,44,107,136,70,74,103,69,63,90,155,145,149,150,151,152,153,152,75,87,94,99,103,109,116,116,113,91,62,35,96,144,87,61,70,54,63,77,154,146,150,151,152,153,153,152,75,87,92,99,104,110,114,110,147,139,61,28,124,146,99,44,37,52,65,69,150,149,151,152,153,153,152,153,75,88,93,98,104,107,112,111,149,132,70,17,140,149,107,55,30,55,68,53,139,153,151,152,154,153,153,153,78,89,94,99,106,106,134,133,146,143,69,8,160,149,105,61,32,50,65,43,124,158,151,153,154,155,155,155,79,90,94,99,107,103,150,147,137,136,56,65,166,137,102,55,31,41,59,33,113,160,150,153,154,155,156,157,80,89,94,102,106,106,128,148,131,126,84,162,151,128,107,59,36,41,46,35,136,155,151,153,156,156,156,157,82,89,94,102,107,111,116,125,103,126,142,179,149,122,103,65,40,42,32,63,159,149,152,154,155,157,157,158,83,89,96,101,107,112,116,128,101,146,175,171,146,117,95,66,43,39,24,106,159,150,153,153,155,158,158,157,82,89,95,100,106,113,114,148,133,116,172,165,142,115,92,68,44,31,33,143,153,153,153,154,157,158,158,157,83,90,95,101,106,111,114,161,148,108,165,162,143,113,90,70,48,23,68,160,149,152,154,156,156,157,158,158,84,91,95,101,105,110,119,169,156,135,171,156,142,116,92,72,46,20,117,157,149,154,156,157,156,157,158,159,83,90,95,101,107,110,122,176,161,147,163,158,151,119,92,73,37,40,151,151,152,155,155,156,158,158,158,159,85,90,97,104,108,111,122,174,155,153,158,155,159,126,89,72,30,77,160,148,153,153,155,156,158,159,159,160,85,90,95,102,107,110,122,166,146,148,156,156,159,129,90,67,26,117,156,150,154,154,156,156,158,159,159,160,85,91,97,103,107,111,120,146,145,160,159,153,154,123,87,53,51,152,150,151,153,155,156,157,157,158,159,160,84,90,97,103,106,112,115,152,161,167,158,147,148,117,84,41,86,158,148,151,153,155,156,157,158,158,159,161
14,144,148,152,155,156,159,161,163,164,166,165,167,168,166,166,167,166,165,165,165,164,163,162,161,159,159,157,156,146,150,154,157,159,162,163,164,166,168,169,170,169,169,168,167,170,171,170,166,164,165,165,163,161,161,159,159,148,153,156,159,162,163,165,167,168,171,170,170,171,170,171,170,148,153,167,169,169,165,164,164,163,162,161,161,149,155,159,161,163,165,167,170,170,170,171,172,172,171,170,156,148,133,139,130,155,176,164,162,164,163,163,163,150,156,160,161,164,167,169,171,172,173,174,174,171,185,185,175,165,147,117,97,93,123,169,171,164,165,164,164,152,157,162,164,166,169,171,173,173,175,177,172,182,204,172,145,185,157,121,75,60,59,78,151,174,164,166,164,153,158,163,166,168,170,171,173,175,177,176,184,200,198,149,64,119,106,143,101,42,67,39,45,147,174,165,167,154,159,164,167,169,173,173,175,177,178,179,198,180,137,102,58,43,63,152,130,66,64,66,42,54,171,169,169,156,160,165,168,171,172,174,177,178,184,194,208,158,90,55,38,36,35,111,146,93,70,88,71,47,119,179,167,156,161,166,169,173,174,177,180,178,193,210,207,168,120,77,56,46,37,44,100,112,69,78,66,74,67,163,174,158,161,166,170,172,176,178,179,183,201,214,195,145,107,75,52,53,44,103,160,180,156,101,71,72,53,113,180,159,164,168,171,174,177,179,178,190,213,208,159,101,64,54,46,37,80,192,186,179,186,186,115,74,78,103,180,161,166,170,172,176,178,182,175,199,214,196,170,123,68,46,31,60,183,191,180,183,182,179,104,115,73,108,186,162,168,171,175,178,180,181,182,213,206,183,174,126,84,51,23,32,76,156,191,179,193,149,103,119,66,79,187,164,169,172,175,179,184,175,202,217,196,181,175,119,89,41,28,36,36,53,161,199,160,85,100,109,71,47,154,165,169,174,177,180,181,184,218,206,183,189,170,123,92,39,33,48,57,57,68,106,76,90,108,93,70,40,141,165,170,176,179,183,178,202,218,202,188,189,162,126,86,40,49,70,71,72,67,53,73,92,106,92,49,106,184,166,171,176,179,181,183,219,216,204,187,175,160,122,73,46,66,84,85,83,81,73,74,96,87,60,115,188,182,168,172,177,180,180,196,223,211,196,177,164,153,108,74,56,79,88,90,87,81,78,74,75,60,135,192,184,184,169,173,178,182,180,212,221,203,186,171,154,138,100,77,68,81,93,88,86,72,78,56,52,151,198,184,186,185,170,175,178,181,184,221,215,196,181,161,144,130,100,83,69,81,94,84,78,69,56,88,165,197,188,188,187,185,172,176,181,182,193,228,210,189,173,156,136,119,107,79,69,75,84,82,70,52,136,198,196,190,191,190,188,186,173,177,182,181,211,224,203,176,149,142,132,118,88,69,71,71,75,60,55,144,206,193,191,192,191,189,190,188,173,177,179,195,225,212,192,159,157,147,114,89,65,71,75,55,65,99,170,204,193,195,194,193,192,190,190,189,175,183,175,198,217,203,189,166,156,122,105,85,70,69,57,110,181,205,204,197,198,197,194,193,192,192,191,190,167,171,161,199,212,203,183,166,138,103,97,79,71,47,111,216,206,200,200,199,198,197,196,195,193,193,192,190,59,12,94,217,205,195,176,154,120,92,87,74,58,62,185,204,200,203,201,199,199,197,198,197,195,194,193,191,48,14,72,188,203,186,171,143,103,83,76,67,40,132,210,200,202,202,201,200,200,199,199,197,195,194,193,191
13,146,148,150,152,151,153,154,156,157,157,158,158,159,160,159,159,159,159,158,159,159,159,159,159,159,158,157,156,146,149,152,152,152,155,157,159,159,159,160,160,161,161,161,161,161,160,160,160,159,159,159,160,158,159,160,159,148,151,153,153,156,158,158,159,160,160,161,161,163,163,163,163,164,163,162,164,160,160,161,161,161,161,161,161,150,153,154,155,156,158,159,160,160,162,162,163,165,166,164,165,164,168,170,158,165,160,163,163,163,163,163,162,153,154,155,157,158,159,160,162,162,163,163,164,165,164,165,165,166,197,182,127,140,171,158,165,165,165,164,164,153,156,157,159,159,161,163,164,164,165,165,165,164,167,167,163,178,201,170,115,136,191,131,118,167,165,166,164,155,157,159,160,160,162,164,165,165,166,167,165,168,199,177,151,193,193,180,108,153,181,134,76,136,172,165,165,155,158,160,161,163,164,166,166,167,168,168,162,186,208,191,155,162,160,139,74,157,177,124,70,114,178,166,167,157,160,162,162,164,166,167,167,167,169,169,179,173,200,200,178,121,73,78,67,152,143,83,56,121,178,168,170,158,160,162,164,166,167,167,169,169,166,188,205,162,149,208,187,143,69,62,101,162,133,94,65,125,179,170,171,160,161,163,165,167,167,168,171,169,174,208,205,189,128,177,188,140,91,37,73,170,188,184,106,128,180,170,173,160,163,165,166,167,170,171,173,167,192,203,206,203,156,121,167,129,85,44,96,169,180,178,138,134,180,173,175,162,164,167,168,169,172,173,172,171,204,192,192,195,161,89,138,156,89,95,196,192,171,153,142,116,176,175,176,162,165,168,168,170,173,174,171,186,208,195,174,163,126,68,115,174,121,180,207,193,173,146,126,104,174,178,176,164,166,168,171,171,172,174,172,190,208,200,177,152,125,83,60,154,190,205,197,190,167,139,104,122,182,176,176,166,168,170,172,172,172,176,174,187,208,201,178,142,139,109,85,196,208,205,197,179,149,128,94,141,185,178,177,166,168,171,173,173,173,176,174,193,208,204,187,172,148,170,187,208,205,203,194,167,144,121,88,152,186,179,179,167,169,172,174,174,175,178,175,195,208,206,196,191,173,182,193,207,202,195,188,162,137,104,88,169,184,180,180,168,171,173,175,175,177,180,175,191,208,206,201,193,181,179,184,206,196,184,183,161,118,84,118,189,180,182,181,170,172,174,176,178,177,179,179,186,208,208,207,194,177,181,186,195,181,173,169,135,93,81,172,188,182,183,183,172,174,175,177,178,180,184,180,176,200,195,184,168,161,176,182,196,182,171,150,109,64,118,194,183,185,185,185,172,174,176,177,179,178,140,129,126,120,105,91,87,84,86,90,101,95,96,94,75,84,190,188,185,186,185,185,172,175,178,178,182,171,109,110,110,102,88,83,78,71,63,58,43,34,32,28,26,46,121,185,187,186,186,186,173,175,178,179,182,180,118,109,110,99,88,85,81,70,65,56,48,41,35,28,25,23,11,82,197,184,187,187,174,176,178,179,183,187,124,106,106,96,88,84,78,68,60,53,44,37,32,27,23,29,13,116,199,187,189,189,173,176,178,179,181,188,128,108,105,96,95,87,75,64,57,51,44,35,31,26,26,12,80,202,189,190,189,189,173,175,177,179,181,186,130,103,106,94,92,85,72,59,52,49,42,36,31,27,24,25,171,195,189,190,189,189,173,175,177,180,182,187,129,102,102,94,88,80,68,58,51,49,43,36,30,27,15,70,200,188,191,189,190,189
6,215,217,219,222,222,221,221,222,223,224,225,225,225,224,225,225,225,223,222,219,220,218,218,217,213,212,211,210,218,219,219,222,223,224,224,224,223,225,227,226,226,226,226,226,225,225,224,222,221,222,220,218,217,215,215,215,219,219,222,223,224,225,226,226,226,226,227,226,224,227,229,229,227,227,227,226,225,224,221,221,220,217,217,216,220,222,225,225,226,228,228,227,226,226,227,227,227,229,229,228,227,227,226,226,225,225,223,223,221,220,219,217,224,225,226,226,228,228,228,229,229,228,229,230,230,231,231,231,231,231,230,229,227,226,223,224,222,220,219,217,225,226,227,229,230,229,231,231,232,232,232,232,231,231,232,232,232,233,232,231,228,228,227,226,225,225,223,222,226,227,230,231,232,233,233,234,232,232,234,235,234,233,234,235,234,234,233,232,230,229,227,225,225,224,222,223,227,230,231,230,232,234,235,235,235,235,236,236,236,235,235,235,235,236,236,236,232,230,231,229,227,226,225,225,229,231,232,233,232,236,235,235,236,236,237,237,235,235,237,235,235,233,234,234,232,230,230,229,226,226,223,224,232,233,235,234,235,236,235,238,240,244,244,239,227,206,219,231,233,228,229,229,229,221,223,221,218,225,208,251,231,233,236,237,239,241,242,242,237,235,236,233,224,196,165,206,226,230,230,229,213,217,215,214,214,217,203,215,238,241,241,239,234,235,234,232,225,225,230,230,236,222,147,137,155,169,171,174,176,170,169,173,174,175,178,183,255,251,240,227,225,226,225,221,213,215,213,205,201,179,147,134,114,115,166,181,195,202,209,219,226,226,227,234,252,247,239,225,219,213,205,204,208,204,197,194,198,170,133,133,143,136,184,250,249,245,244,243,240,237,238,231,249,242,236,223,211,202,201,201,203,202,203,213,231,206,138,112,127,150,131,157,233,243,239,241,240,242,222,153,243,236,228,220,208,196,188,188,195,203,212,214,211,194,153,135,129,131,145,130,156,246,243,243,239,246,154,122,237,229,226,226,213,200,191,187,190,194,203,221,200,163,154,157,152,139,128,132,136,236,243,238,247,224,131,130,233,224,224,222,214,206,199,193,194,190,189,206,215,172,125,132,164,165,148,117,167,252,243,253,220,138,119,100,223,220,218,216,214,211,203,196,197,197,199,215,208,166,137,120,132,157,166,136,163,241,200,186,141,107,103,84,152,167,190,212,219,220,214,204,200,196,196,211,208,170,146,154,146,130,139,147,140,146,124,113,103,95,82,76,58,64,90,151,222,220,215,209,205,199,192,185,189,173,171,173,162,149,139,116,110,111,123,117,104,92,75,69,55,46,40,44,131,213,192,179,174,170,169,153,150,134,135,163,168,167,149,109,73,87,105,97,93,90,84,71,45,40,40,41,33,100,190,193,200,207,217,230,148,97,102,123,157,148,131,116,77,65,89,89,83,84,91,77,38,33,30,29,25,171,241,240,245,248,248,253,224,172,165,154,150,94,119,113,73,57,64,82,78,76,86,84,34,27,25,11,56,156,142,146,147,148,153,155,162,166,165,163,134,74,110,112,68,50,54,68,70,72,81,84,28,24,22,15,48,129,123,123,124,123,126,128,123,119,143,150,115,62,104,101,63,45,58,59,64,66,73,78,30,27,30,9,51,145,135,136,136,136,131,133,137,145,128,114,102,63,93,91,60,41,49,59,58,60,66,72,38,35,27,0,81,146,134,135,137,138,134,134,135,120,103,87,86,70,82,86,57,44,44,53,52,57,60,67
12,165,166,167,169,169,168,169,169,170,170,170,169,169,168,170,171,168,165,166,164,164,164,162,161,160,159,158,156,166,169,170,170,171,171,170,170,171,171,172,172,170,170,162,150,160,170,165,166,165,164,162,162,162,160,158,157,167,169,170,171,172,172,173,172,172,172,171,161,169,172,134,113,97,152,174,168,169,167,164,163,163,162,160,158,169,171,171,172,172,172,173,174,172,174,159,122,108,141,143,124,96,102,159,132,123,150,169,163,163,162,160,159,170,172,172,172,173,174,174,173,172,179,157,133,105,98,155,130,112,93,91,112,100,82,150,170,164,163,161,160,171,172,173,173,174,174,175,175,173,183,166,143,127,91,150,139,118,98,75,108,105,69,101,175,165,164,162,161,171,173,173,173,175,175,175,175,178,184,177,150,131,93,129,143,120,101,67,105,102,75,79,172,166,165,164,163,173,175,174,175,176,175,176,175,184,168,184,156,132,99,105,144,121,102,68,94,108,77,81,173,166,166,164,164,173,174,175,175,175,176,174,173,165,119,155,162,126,105,93,145,123,104,73,87,110,75,94,177,166,167,165,165,173,174,175,175,176,173,173,177,151,105,98,157,130,104,78,140,133,109,84,69,97,70,124,178,167,168,167,165,174,175,176,176,176,185,184,168,131,104,75,136,133,95,69,131,156,128,95,66,84,64,140,177,169,169,167,166,175,176,177,176,183,183,164,154,123,113,79,118,134,104,78,139,169,134,97,73,90,76,158,175,170,169,168,167,176,176,177,176,193,175,142,155,129,120,86,94,143,133,94,113,152,114,79,73,96,74,145,180,170,169,168,167,176,176,175,182,179,160,126,125,138,115,86,76,148,141,114,66,65,64,60,88,95,59,92,182,170,170,169,168,177,177,177,183,172,148,127,95,125,121,101,69,128,141,107,68,50,78,86,86,72,66,69,169,175,171,170,169,175,177,178,180,182,162,141,112,100,131,102,73,57,99,102,70,88,108,119,104,80,71,81,174,173,172,170,169,176,178,179,181,185,166,144,123,96,114,96,88,53,104,155,136,129,121,126,108,86,57,117,184,172,173,171,169,177,179,180,182,186,173,151,131,108,91,106,112,84,150,178,164,144,128,122,102,80,55,147,182,174,174,171,169,177,179,180,184,180,166,148,130,108,93,98,109,125,174,170,156,138,124,111,98,73,61,168,178,175,173,171,170,178,179,181,182,170,158,149,129,103,112,91,116,162,168,162,147,132,119,105,95,60,103,186,173,175,173,172,171,178,180,181,180,170,161,151,127,105,121,107,151,164,163,157,140,126,112,99,78,71,171,179,176,175,174,172,171,179,181,181,182,173,160,152,131,117,114,116,156,156,161,154,135,116,102,94,60,112,190,176,177,175,175,174,172,179,181,181,183,176,163,154,140,122,105,114,154,151,154,141,126,105,93,81,55,162,184,180,177,176,176,174,173,179,181,182,183,180,171,155,137,121,101,109,143,144,140,129,110,93,87,57,99,191,180,179,178,176,176,175,174,179,181,183,183,182,170,153,139,125,111,110,134,136,124,114,102,87,71,60,170,184,180,179,177,177,176,175,174,180,181,183,183,185,164,143,133,121,119,112,127,138,125,110,98,84,50,133,191,179,180,180,178,176,176,177,175,181,182,183,182,184,163,146,139,133,132,122,127,135,123,107,93,66,87,188,182,182,181,180,180,178,176,176,176,181,182,183,179,182,164,149,149,143,134,127,128,132,117,91,82,60,149,191,182,183,182,181,181,179,177,176,175
21,151,154,159,165,170,175,178,180,185,187,191,192,195,198,200,200,200,203,202,203,204,205,204,203,205,205,205,205,153,156,162,168,173,177,180,183,187,190,192,195,198,201,202,202,207,205,206,206,206,206,206,206,208,208,207,207,154,157,164,170,175,179,182,186,189,192,194,197,200,202,208,187,169,210,207,208,208,211,214,210,211,211,211,211,156,160,166,171,177,182,185,187,191,194,197,200,203,205,213,195,122,202,213,210,212,199,189,216,213,213,213,213,158,162,168,175,179,183,187,190,193,195,199,202,206,205,215,205,129,182,220,212,215,204,136,195,221,215,215,214,161,163,170,177,181,185,188,192,195,198,201,204,208,208,216,208,137,161,224,212,217,212,143,165,227,216,217,216,161,166,173,179,183,187,190,194,197,201,204,207,210,212,215,210,153,148,222,216,219,210,150,149,227,217,218,218,163,168,174,180,185,188,192,195,198,202,206,210,211,213,215,222,182,142,212,220,220,212,157,142,225,220,220,220,165,169,176,182,187,191,194,197,201,204,206,210,213,215,214,227,193,141,195,226,220,219,177,138,223,224,223,223,165,170,178,184,188,192,195,199,202,206,209,212,214,217,218,233,199,148,174,230,220,220,185,135,216,227,225,226,166,172,179,186,189,193,197,200,203,207,210,213,214,215,209,238,219,172,163,230,224,218,191,135,210,230,226,227,167,173,181,186,190,194,197,201,205,208,211,214,216,212,196,201,237,198,161,224,226,228,209,143,207,231,226,227,168,173,182,187,192,196,200,203,206,210,214,215,227,244,231,195,188,185,155,218,230,228,213,143,205,234,227,227,169,175,183,188,193,197,201,205,207,211,214,217,221,216,227,221,182,140,126,196,228,215,206,141,202,236,228,229,170,175,183,189,194,199,201,204,209,212,215,218,218,199,180,170,193,161,152,149,167,190,192,139,198,240,229,231,172,178,185,190,195,200,203,206,209,213,217,218,225,233,211,159,156,198,201,190,151,135,171,133,190,241,230,232,172,180,186,191,196,200,204,208,210,214,218,222,213,203,219,180,114,153,210,206,167,114,134,122,189,242,232,233,173,180,187,192,196,200,204,207,211,215,218,223,213,142,175,192,129,91,148,196,180,146,112,105,182,243,231,234,173,181,189,193,197,200,204,208,212,216,219,223,211,182,161,180,163,131,74,159,205,174,129,96,158,246,233,235,173,180,187,193,197,201,205,209,212,216,220,223,226,211,155,132,163,147,92,119,207,198,158,113,133,243,235,236,171,179,186,192,195,199,205,208,212,216,219,221,233,206,176,150,122,114,124,155,204,218,176,144,122,229,239,237,174,181,187,192,197,199,205,209,213,216,220,220,236,228,205,151,128,137,160,224,223,204,176,149,120,222,240,236,174,181,188,193,198,201,206,210,213,217,221,221,235,230,189,144,150,160,185,246,225,195,158,135,117,224,240,236,174,181,188,193,198,203,207,210,213,217,219,220,231,228,184,171,165,153,201,248,215,186,152,124,118,227,240,237,174,181,188,193,197,202,206,209,212,216,218,220,227,223,202,178,157,154,208,244,211,179,146,124,121,231,239,238,176,184,191,197,202,206,210,213,218,222,224,225,226,220,206,166,165,164,203,235,208,178,141,119,125,232,237,237,150,153,159,166,169,174,179,186,192,198,202,204,210,217,206,170,188,168,190,222,190,163,135,115,135,244,240,242,124,125,124,124,125,126,128,131,133,133,135,135,142,205,208,182,191,174,178,214,173,145,126,116,128,180,183,188
15,105,115,120,122,126,131,137,142,145,149,152,154,158,160,163,166,167,170,171,173,173,175,175,176,176,177,177,177,107,116,122,124,127,133,139,144,147,151,153,156,159,161,164,167,169,171,173,174,176,175,176,177,177,178,178,177,108,117,123,125,127,134,140,145,149,152,153,157,160,163,165,168,171,172,174,175,176,177,177,178,178,180,179,178,109,117,124,125,129,135,141,145,149,153,155,159,161,163,165,169,171,173,175,176,177,178,178,179,180,181,181,180,109,119,125,126,131,137,143,147,151,155,156,159,162,164,167,170,172,174,176,177,178,179,180,180,181,181,182,182,111,120,126,127,131,137,143,148,152,156,157,160,162,165,169,171,173,175,176,176,178,179,180,181,182,182,182,183,113,122,126,127,133,139,144,149,153,157,159,163,168,172,173,176,178,179,181,183,186,186,181,181,181,181,182,183,114,123,128,128,133,141,146,150,153,155,154,147,141,145,151,156,160,160,153,147,148,164,180,187,188,188,187,184,114,123,128,131,135,139,139,137,137,139,133,126,122,120,122,123,130,136,129,126,114,104,113,127,146,163,179,187,116,124,132,139,136,140,134,120,120,116,105,115,129,129,126,116,129,147,141,140,129,116,109,97,87,88,100,121,118,126,131,117,102,100,87,71,76,75,72,77,88,87,82,83,117,128,128,126,117,117,122,114,102,91,85,89,118,127,130,129,122,109,105,115,130,142,149,145,139,130,119,100,112,113,118,102,104,112,133,120,108,97,91,98,119,126,129,133,142,148,154,159,161,163,166,170,172,181,169,136,127,111,102,88,103,123,143,128,119,107,101,108,119,126,129,133,138,144,149,153,157,159,163,166,169,167,144,150,123,74,82,57,113,154,147,130,128,118,112,112,119,126,128,132,138,145,149,153,157,159,162,166,169,157,145,129,116,52,56,43,130,164,149,128,128,120,113,107,120,126,128,132,138,144,150,154,157,160,163,167,162,156,155,115,73,48,57,35,126,168,146,125,114,108,103,94,121,127,129,133,139,145,151,154,156,159,163,167,166,141,156,137,70,49,55,41,130,156,142,118,97,92,82,80,121,128,130,133,140,146,150,154,157,160,163,167,173,162,151,154,111,66,96,137,141,137,138,107,86,80,73,79,120,127,130,134,140,146,150,154,158,161,165,168,169,176,161,153,140,132,137,130,124,115,96,73,68,62,67,71,121,126,128,133,140,146,151,153,157,161,164,167,170,175,162,141,146,131,99,102,91,74,78,117,112,113,129,148,121,127,129,135,142,147,152,157,162,166,169,171,173,156,127,117,122,109,84,74,63,52,56,162,201,193,196,194,99,103,106,109,113,116,122,125,127,132,137,139,154,144,119,100,84,83,68,54,55,50,53,97,194,183,188,190,88,89,88,91,93,91,90,90,92,92,94,91,114,130,90,70,63,78,88,72,70,91,83,94,119,119,123,128,94,95,96,98,99,100,99,99,102,103,104,103,106,102,80,85,96,104,105,104,103,105,105,102,100,100,99,99,93,94,95,96,98,97,98,99,99,101,101,103,103,100,106,111,108,105,104,104,105,105,104,105,106,107,107,107,94,96,97,97,98,98,99,100,99,100,100,100,103,102,104,105,106,108,105,105,103,104,106,107,106,107,108,108,94,95,98,99,99,100,100,101,101,101,101,102,103,103,103,102,103,105,105,104,104,105,105,106,106,107,107,109,93,94,97,98,99,100,100,101,101,102,102,103,103,104,104,103,103,104,104,105,105,104,105,106,105,106,107,107
2,218,219,219,220,219,220,220,219,219,219,218,214,219,216,217,217,215,215,214,212,212,211,210,208,208,207,205,203,221,221,221,221,221,221,221,220,221,221,217,229,232,178,196,222,218,218,217,215,215,214,213,211,210,209,207,206,223,223,224,225,224,224,223,223,221,220,243,238,189,151,154,205,211,176,212,221,216,216,215,214,213,211,209,209,225,225,225,226,226,226,226,223,227,251,246,180,153,145,154,178,183,146,192,220,217,217,216,216,215,214,211,210,226,227,226,226,227,226,225,235,255,253,201,155,151,145,137,146,149,145,140,191,227,218,219,217,216,215,214,212,227,228,227,228,228,229,223,255,255,199,161,144,145,148,143,125,141,153,142,143,190,227,219,219,217,216,214,214,228,229,229,230,231,226,238,255,223,159,139,127,130,138,139,139,141,142,140,131,187,227,219,220,219,218,216,215,230,231,230,232,232,230,255,252,193,157,144,135,124,141,158,163,144,156,167,195,225,222,222,221,220,220,219,216,232,233,233,233,229,252,255,210,165,144,148,146,138,153,150,153,199,222,228,230,226,225,223,222,222,221,220,218,233,234,235,231,244,255,250,193,156,136,145,142,150,143,170,221,234,231,229,228,228,227,226,224,223,223,221,220,234,235,234,235,255,255,234,188,163,154,141,144,153,179,243,234,232,232,232,231,230,228,227,226,225,223,222,221,236,237,234,246,255,255,214,178,161,161,150,147,149,203,243,233,234,233,234,232,231,230,228,228,227,225,224,223,238,240,235,255,255,248,201,168,159,159,156,146,162,236,238,236,233,234,233,233,233,232,230,229,228,227,226,225,240,237,246,255,255,234,192,168,157,156,157,149,205,246,237,238,236,235,235,235,233,232,232,231,229,228,228,227,241,238,255,255,255,217,179,164,160,154,154,156,234,242,239,239,238,237,236,235,234,234,232,232,232,230,228,228,240,249,255,255,245,204,172,161,159,160,149,176,249,239,241,240,240,239,238,237,236,235,236,235,232,231,229,228,240,255,255,255,231,189,164,160,157,158,135,199,253,240,243,242,241,239,239,239,239,235,232,227,233,234,231,230,250,255,255,254,211,175,164,156,151,147,136,165,247,247,241,242,241,241,241,240,229,213,209,200,179,229,234,232,255,255,255,235,200,178,167,152,142,142,148,141,174,241,250,246,246,245,243,219,214,209,194,166,178,232,235,233,255,255,255,224,202,183,166,145,137,148,147,156,157,167,207,232,223,215,216,209,219,193,172,209,239,237,235,233,255,255,255,225,199,179,160,143,145,159,163,175,183,172,166,190,197,208,215,218,208,170,223,247,238,237,237,236,216,224,232,215,195,173,156,148,154,168,180,184,191,191,183,204,207,211,207,191,166,197,248,239,240,239,238,237,123,123,116,117,130,128,129,140,160,174,182,188,193,195,184,198,187,182,188,200,219,243,243,243,242,240,238,237,130,121,103,100,107,103,95,99,127,171,180,185,190,185,164,170,197,227,242,251,250,244,244,243,242,241,240,239,125,116,103,105,110,102,97,92,88,117,176,181,172,169,199,234,253,253,249,247,248,248,246,244,244,243,242,240,120,113,105,106,105,99,94,89,92,86,127,171,194,239,255,254,250,249,250,249,247,247,246,245,244,244,242,242,116,112,105,106,103,96,91,89,93,84,119,243,255,254,250,251,252,253,251,250,250,248,248,246,245,245,243,242,116,110,104,105,102,95,90,89,95,82,204,255,249,252,253,253,253,252,251,251,251,249,249,250,247,245,245,244
20,189,192,197,199,202,205,207,208,208,211,212,210,209,209,209,206,209,193,204,205,203,202,201,199,197,197,196,195,190,194,199,202,204,206,210,210,212,213,213,214,212,211,210,212,225,153,167,210,206,203,203,201,200,201,198,197,191,196,199,203,206,209,210,212,213,214,215,214,213,213,210,221,226,148,131,184,163,206,204,203,203,202,200,198,194,198,201,204,207,211,212,214,215,216,216,215,215,215,211,225,219,140,135,196,120,192,210,205,204,203,202,201,195,199,204,206,210,212,214,218,218,217,219,219,218,216,212,237,226,143,141,197,124,181,214,207,207,205,204,203,197,201,204,207,211,214,216,219,219,218,219,220,219,220,215,247,219,143,151,198,131,182,217,208,209,207,206,203,198,203,206,210,212,215,218,219,219,221,221,221,221,219,223,239,193,130,181,212,139,175,220,210,210,209,206,205,201,206,209,211,214,216,218,221,221,222,223,222,226,224,234,235,184,113,188,202,133,174,222,211,212,211,209,206,202,207,211,213,216,218,220,223,223,224,225,224,204,188,244,236,176,112,199,194,122,181,222,213,213,212,211,208,204,208,211,214,218,220,221,223,226,227,224,235,198,126,220,213,129,139,223,190,125,191,224,215,214,213,212,210,206,210,213,216,219,221,223,224,228,228,235,248,211,162,167,130,88,159,209,174,118,204,223,216,215,215,213,212,207,211,213,218,220,223,226,227,228,226,197,218,233,198,145,118,101,155,170,139,119,221,220,218,219,218,216,213,208,212,216,220,222,225,227,227,242,237,168,170,238,187,174,167,159,165,132,112,149,234,220,221,220,219,217,214,209,213,218,221,224,227,227,235,255,248,192,174,208,199,194,179,190,176,111,92,188,232,222,222,221,219,218,216,211,215,220,222,226,229,226,248,244,252,193,165,225,209,175,174,175,155,126,86,196,233,224,223,222,220,220,218,212,215,220,224,226,229,229,255,237,224,208,141,191,180,102,107,175,166,147,93,191,237,224,225,223,221,222,219,213,218,222,226,229,229,237,255,216,207,209,120,91,95,71,71,171,204,161,111,133,237,226,226,225,223,221,220,215,219,222,226,230,232,236,255,252,230,193,163,116,72,115,193,204,214,179,131,91,201,235,226,226,225,223,221,215,220,224,227,230,231,239,255,255,227,186,204,135,104,215,248,227,195,174,133,99,187,239,226,227,226,225,220,216,221,226,228,231,233,240,255,255,218,182,169,119,174,252,226,202,188,141,132,102,213,235,228,229,227,225,222,217,222,227,229,232,234,240,255,255,217,213,156,175,255,238,200,174,187,137,107,118,239,230,230,230,229,226,224,219,223,228,230,235,236,239,255,253,227,219,164,216,255,223,201,181,177,155,85,158,247,232,232,232,229,228,225,219,224,228,232,234,236,240,254,249,230,219,170,206,233,209,196,171,157,136,87,216,240,233,233,232,230,228,225,220,225,229,232,233,239,243,253,248,232,211,173,171,197,186,169,147,141,92,149,249,234,236,235,233,231,229,227,219,223,228,230,242,217,111,200,244,227,178,144,146,159,178,157,132,98,97,234,241,237,236,235,234,232,229,227,218,221,225,234,228,120,77,92,179,195,156,149,157,160,183,149,114,82,199,247,235,236,235,234,233,230,228,226,218,223,229,233,130,80,95,83,91,154,173,166,160,160,170,134,84,165,253,237,238,237,235,234,233,230,229,226,219,222,237,153,87,98,82,87,81,88,134,145,149,147,134,105,107,239,243,240,239,237,236,235,234,232,230,228
4,158,161,164,168,170,172,175,176,178,181,182,183,183,184,185,186,186,185,185,185,185,184,184,183,183,183,182,181,159,163,165,169,171,173,176,177,179,182,183,184,185,187,187,186,188,190,189,186,187,187,186,185,183,184,183,183,160,164,167,170,172,175,177,179,181,183,184,183,184,187,190,194,174,154,180,191,189,188,186,186,186,185,185,184,161,164,168,171,173,175,177,180,184,187,184,192,179,151,181,216,180,132,129,201,190,189,189,188,188,187,186,184,161,165,169,172,176,177,179,182,183,180,194,224,191,151,140,217,181,141,114,178,176,190,191,188,188,188,187,186,163,166,170,173,176,178,179,181,191,190,180,213,203,163,126,204,187,138,85,123,147,137,191,191,190,189,189,188,164,168,171,175,178,180,180,187,218,215,166,151,213,178,124,189,190,134,77,125,156,110,136,199,189,191,189,189,163,169,172,174,178,182,179,198,214,206,155,132,203,164,112,160,170,118,78,133,157,117,98,196,192,192,190,190,165,168,172,177,178,181,181,198,198,198,154,122,184,152,106,126,149,112,90,161,163,115,96,196,193,191,190,191,166,170,173,177,179,182,180,198,193,179,162,130,168,147,109,92,132,91,117,191,152,98,103,200,194,191,191,192,166,170,174,178,180,185,182,200,210,181,167,147,145,179,136,112,129,98,120,159,128,80,105,203,194,195,193,192,167,172,175,178,181,184,182,203,220,196,160,110,117,178,152,172,149,154,159,171,160,105,110,206,194,196,194,193,168,172,176,179,180,185,183,211,216,180,149,118,100,101,117,171,151,174,187,196,180,117,120,206,195,197,195,194,168,172,176,179,182,185,184,216,203,160,133,113,99,94,93,128,154,164,175,178,160,120,106,197,197,197,195,195,168,173,177,180,183,185,187,221,206,172,145,115,102,104,115,118,128,140,143,149,152,135,92,174,204,196,195,195,169,173,177,181,182,185,191,222,203,170,135,116,108,104,115,139,127,155,166,165,166,146,100,135,210,195,198,196,170,174,178,182,184,185,194,221,201,165,132,114,112,105,122,145,150,198,195,200,192,156,116,94,196,201,199,198,171,176,179,182,187,186,196,219,198,165,140,125,118,115,123,139,183,207,210,204,203,166,124,82,168,208,198,199,171,176,179,181,185,186,197,214,194,169,145,135,124,121,120,168,212,210,212,188,184,153,120,84,173,207,198,199,169,174,178,180,184,185,194,210,191,173,148,129,118,124,143,207,218,213,197,177,156,134,98,110,202,199,199,199,169,174,178,179,184,186,192,212,201,167,136,130,124,138,172,221,216,203,177,159,134,111,82,167,207,198,198,199,170,175,178,181,185,188,189,209,202,175,159,158,133,143,190,218,206,188,165,142,121,87,117,208,199,201,199,200,171,175,179,182,185,189,188,206,204,183,162,163,136,133,203,207,192,170,149,126,104,81,179,207,201,201,200,199,171,175,179,181,184,190,185,207,210,187,168,163,135,138,200,193,171,151,127,110,79,123,211,201,202,201,200,200,171,176,180,181,185,189,184,220,215,191,167,153,121,139,186,176,150,129,108,92,79,187,206,201,201,202,201,199,171,176,179,182,188,181,201,224,207,180,159,130,113,147,165,139,112,102,92,72,152,209,200,202,201,200,200,200,168,173,177,180,183,182,221,218,205,188,161,134,131,150,140,108,97,98,80,132,207,200,202,201,201,202,200,202,134,137,137,138,129,174,225,209,205,187,156,143,140,139,126,102,102,101,86,130,140,139,139,138,139,140,141,143
7,158,163,168,171,173,175,176,176,176,178,179,179,179,179,178,178,178,178,177,177,176,174,178,158,180,194,188,195,164,169,173,175,178,179,180,181,182,183,183,183,183,182,180,179,179,178,178,177,176,175,174,174,187,137,199,194,171,175,178,181,183,184,186,187,187,187,188,187,185,186,184,185,184,182,181,180,179,179,175,180,169,145,203,194,177,180,184,188,190,190,192,192,192,192,192,192,191,190,189,189,187,187,185,184,183,181,181,177,185,204,188,194,182,186,190,193,195,197,197,197,198,197,197,197,196,195,195,193,192,191,191,188,188,185,182,181,182,166,143,196,186,192,196,198,200,202,202,202,202,202,202,203,202,201,200,200,199,197,196,194,193,191,187,185,185,174,167,198,191,196,200,203,205,207,207,207,207,207,208,208,207,206,205,203,204,203,201,200,198,195,192,190,188,185,185,200,196,200,205,207,209,210,211,212,211,210,211,211,210,209,209,207,207,207,205,203,202,199,197,195,193,190,193,209,201,205,209,211,214,215,217,221,223,220,219,219,218,217,217,217,216,212,209,207,205,203,201,200,197,193,194,212,206,210,214,217,221,219,212,190,173,188,195,199,198,196,192,189,199,207,213,215,214,211,206,202,201,195,197,214,209,214,219,219,217,214,204,164,109,128,160,176,168,168,166,156,147,155,163,162,180,190,204,209,203,207,206,214,214,218,216,213,213,207,198,164,133,133,139,153,152,156,159,149,126,141,146,139,150,153,184,182,214,170,172,220,212,212,212,218,216,211,200,160,122,135,139,147,142,145,154,145,127,122,128,138,144,150,177,157,193,64,129,237,217,218,218,223,220,213,193,156,103,113,132,152,161,153,158,142,141,133,143,154,135,137,139,155,163,86,80,164,223,219,218,224,216,208,192,140,107,123,128,139,138,139,140,140,134,125,138,152,141,142,141,162,180,149,79,63,221,223,220,221,222,214,211,165,99,97,93,81,118,138,126,123,122,129,136,142,134,130,128,127,147,120,80,69,226,220,217,224,214,205,220,176,96,87,93,79,111,178,231,229,235,232,207,144,79,82,81,78,79,72,70,71,218,210,209,212,196,198,199,154,105,96,99,100,87,72,200,218,152,120,81,58,57,50,50,66,63,65,70,68,211,210,203,198,192,189,188,152,99,86,100,112,108,91,81,63,47,53,68,66,56,59,55,55,58,56,67,70,205,201,194,190,190,190,202,166,95,66,51,90,100,86,84,67,59,47,62,74,57,46,57,56,54,62,56,33,191,186,192,191,190,189,187,160,96,72,62,69,93,104,108,68,57,57,43,64,69,51,41,51,54,68,30,5,181,174,174,170,165,163,148,120,98,86,78,65,41,64,72,40,42,68,48,44,62,68,47,37,44,44,39,31,171,156,139,132,128,126,123,102,92,77,49,74,35,27,54,57,33,55,62,44,48,60,62,40,40,38,41,38,155,149,126,120,110,131,137,76,49,63,24,62,59,20,42,63,46,37,61,57,45,46,59,53,34,39,38,38,123,126,132,143,184,212,91,71,48,55,34,39,68,29,24,56,60,35,48,60,49,44,43,55,37,33,39,36,116,226,234,250,254,123,57,77,60,36,44,25,57,49,13,44,63,45,41,51,54,44,37,44,47,27,34,37,64,181,170,182,137,60,71,56,45,49,36,23,36,61,17,26,57,53,44,46,47,44,36,35,46,33,25,33,44,130,127,111,81,64,59,57,29,50,41,15,22,61,32,13,47,58,46,46,43,42,35,33,37,41,24,26
12,68,71,76,82,95,107,114,120,125,129,130,133,135,137,140,143,146,148,148,150,151,153,154,154,155,155,155,156,68,73,78,83,97,110,115,121,126,130,131,134,136,139,142,143,146,149,151,150,153,154,155,155,156,156,157,157,69,73,79,84,98,110,117,123,127,130,132,136,138,140,144,149,147,151,145,154,155,156,156,156,157,159,159,159,70,75,81,86,101,111,118,124,128,130,135,137,138,153,122,121,157,161,111,107,159,153,160,160,159,162,161,161,71,75,81,88,103,113,119,124,128,133,138,131,160,173,131,97,138,164,123,82,112,121,106,155,163,161,162,162,71,76,83,89,104,114,120,126,130,135,139,132,182,181,143,111,119,166,137,107,79,119,87,105,167,162,163,164,71,77,84,90,106,116,121,127,131,136,139,139,185,198,160,116,116,171,136,108,73,111,109,74,149,168,163,164,72,79,85,93,108,117,122,128,133,137,133,149,170,182,174,116,106,177,137,102,68,110,104,75,152,169,166,166,74,79,86,94,109,117,124,129,132,129,141,155,159,147,152,107,86,148,127,91,69,113,96,83,163,170,168,168,74,79,86,96,110,117,123,129,132,174,192,131,90,95,132,91,71,119,98,78,74,107,86,100,175,168,169,168,75,80,86,98,112,118,126,123,158,210,164,116,95,69,118,102,68,105,101,79,74,100,81,110,177,168,170,170,75,81,87,99,111,118,128,127,181,157,147,126,109,71,100,132,71,104,133,89,85,132,96,117,180,169,171,171,76,81,88,101,113,119,124,136,182,137,129,139,112,88,52,77,47,72,111,82,91,139,107,70,139,179,171,173,76,82,89,102,114,121,121,145,181,143,115,131,106,94,47,34,64,95,95,94,121,108,85,74,93,177,172,173,77,83,89,104,114,120,122,147,195,154,125,105,94,80,42,56,107,146,150,142,134,110,105,91,104,178,173,174,79,83,91,107,115,123,123,153,195,155,137,104,79,80,68,97,147,166,163,149,131,107,100,83,134,181,173,174,79,84,91,108,117,123,123,157,191,162,141,111,97,118,112,150,173,172,164,141,119,105,88,82,162,177,175,175,80,85,92,108,115,124,126,151,183,156,136,113,114,119,118,170,169,171,161,129,110,101,81,108,180,174,176,176,79,85,93,109,115,124,128,143,178,152,134,119,116,108,127,161,162,167,147,119,104,95,80,149,180,174,177,176,80,85,95,110,116,124,131,137,174,150,139,133,120,121,145,158,162,155,132,113,99,85,98,177,176,176,177,178,81,86,96,111,118,127,131,133,162,155,148,145,131,125,144,151,151,133,113,102,94,79,134,182,176,177,179,179,82,86,97,112,119,125,132,132,152,164,146,138,126,113,119,135,133,118,101,94,87,96,172,177,176,177,180,179,82,86,99,111,117,126,131,135,146,171,141,131,119,107,108,116,111,104,93,94,80,140,182,175,178,179,180,179,82,86,100,113,117,126,131,137,141,175,155,130,110,103,112,109,110,104,93,85,100,176,174,177,179,180,180,180,82,87,101,113,119,127,132,138,140,174,169,136,122,121,124,108,110,105,90,73,136,182,175,179,180,180,181,181,83,89,102,113,119,126,133,135,152,187,180,144,136,129,125,105,101,94,86,65,146,182,177,179,180,181,182,182,82,88,103,114,120,129,130,155,181,169,197,152,144,128,121,104,93,84,83,63,149,183,175,180,180,181,182,182,83,88,104,114,121,129,133,185,194,149,168,153,142,124,117,99,84,84,81,66,157,182,177,180,181,181,182,182
1,91,97,82,67,66,59,66,25,54,82,96,109,141,116,100,130,131,138,141,144,147,150,152,154,155,157,159,160,94,100,81,69,65,63,65,26,59,85,103,113,143,126,92,128,108,128,143,145,148,151,153,156,157,159,160,161,96,101,79,72,64,68,61,28,64,86,130,122,124,140,101,138,106,105,144,147,150,152,155,157,158,159,160,162,99,102,77,75,65,73,54,31,68,88,141,128,113,144,107,141,125,94,142,149,151,153,156,158,159,161,162,163,102,100,77,77,64,77,47,36,72,91,145,134,114,158,126,132,135,94,135,151,152,155,157,159,161,163,165,165,105,99,79,80,66,81,40,41,77,94,144,140,116,166,134,130,153,106,124,154,155,157,159,161,163,166,166,167,108,98,82,84,68,84,35,47,103,112,142,155,120,160,137,132,165,120,111,154,157,159,161,164,166,168,168,169,111,97,85,84,70,85,32,54,133,119,136,157,119,152,139,125,163,129,104,154,158,160,163,166,168,169,169,170,113,96,87,83,74,83,29,61,139,117,132,157,117,150,149,121,161,136,102,153,160,162,165,168,169,171,172,172,113,94,90,82,79,80,29,66,144,121,127,162,118,145,158,120,164,143,104,149,161,165,167,169,171,172,173,173,114,94,93,81,85,73,30,69,151,136,125,166,124,126,156,114,155,145,101,144,165,166,168,170,172,174,174,174,111,95,96,80,91,65,33,71,148,138,113,165,128,106,147,109,142,149,101,136,166,166,169,172,174,175,175,175,110,96,98,77,95,57,37,73,139,142,106,152,135,127,141,138,151,132,95,122,167,168,170,173,175,177,176,176,109,96,98,77,99,50,41,75,137,153,108,141,151,135,126,149,149,105,82,106,167,170,172,174,175,177,178,179,107,98,99,76,100,43,46,77,137,150,126,146,149,146,143,170,160,111,76,89,161,171,173,175,176,177,180,180,106,101,99,77,100,36,51,79,140,156,153,139,139,142,150,162,157,132,90,75,151,173,174,176,177,178,179,181,105,102,98,81,100,31,55,82,153,168,148,128,127,132,138,140,156,155,118,78,136,174,174,176,177,178,180,181,103,106,97,86,97,28,57,84,159,165,137,119,125,135,149,162,168,172,146,97,115,173,175,177,178,179,180,181,103,109,95,92,92,27,61,84,149,163,132,115,130,137,157,182,175,174,157,114,102,170,175,177,178,180,180,180,105,110,92,96,84,27,65,84,133,166,140,121,126,142,161,185,182,167,148,110,99,170,175,178,179,180,181,182,106,111,89,101,78,28,67,86,115,163,146,128,124,146,163,186,183,163,138,100,103,172,175,177,180,181,182,182,107,113,87,106,70,30,68,87,103,153,157,137,124,141,161,183,179,158,133,95,105,173,175,177,179,181,182,182,110,115,86,113,63,33,70,86,98,139,162,146,133,133,156,178,170,151,130,93,106,173,176,178,180,181,182,182,114,118,86,119,56,36,71,86,97,119,155,152,144,134,149,169,162,143,123,89,111,174,176,179,180,181,181,182,117,119,88,121,49,38,70,84,95,107,136,155,150,142,139,152,155,136,118,87,125,173,174,176,177,178,180,180,121,118,90,122,42,40,68,82,93,104,118,151,152,144,131,134,142,125,111,90,144,172,173,174,175,177,178,179,122,114,93,121,35,42,67,79,90,103,110,143,151,139,126,125,126,119,109,90,153,168,170,173,175,177,178,178,124,112,96,117,33,45,65,73,84,97,104,135,146,131,127,130,126,118,103,87,154,166,168,171,173,175,176,175
15,96,105,116,122,124,127,134,140,146,150,153,157,160,164,167,171,173,177,180,182,184,186,188,189,190,191,192,193,97,106,116,122,124,127,134,142,147,151,155,158,162,165,169,172,174,178,181,183,184,187,189,189,191,192,193,194,100,107,116,122,125,128,135,142,147,152,156,159,162,166,170,173,175,179,182,184,186,188,190,191,192,194,194,195,100,109,118,123,127,130,137,142,148,154,158,161,164,167,171,174,178,181,183,186,188,190,192,193,194,195,196,196,101,110,119,127,127,130,136,141,148,153,157,161,164,168,172,176,179,181,184,187,188,190,193,194,195,197,197,198,101,110,128,150,134,131,138,139,146,154,155,156,155,158,163,171,177,181,185,187,190,192,193,194,196,198,199,199,103,112,131,149,129,122,129,136,149,157,162,167,170,163,156,156,159,166,174,175,176,184,194,195,196,198,199,200,105,113,124,121,104,105,115,123,140,152,159,175,183,173,169,167,172,173,171,173,159,148,157,185,197,198,201,201,105,115,123,125,126,129,128,127,132,140,145,163,181,185,184,183,184,187,182,172,178,161,124,121,175,201,201,201,107,115,122,126,130,137,144,149,154,156,156,154,149,159,178,195,183,164,180,162,170,181,122,110,115,177,203,203,106,116,123,127,129,135,143,150,154,158,166,163,130,115,123,144,168,151,148,146,165,187,117,117,131,121,185,203,106,115,123,126,130,136,143,149,154,157,186,164,123,109,115,133,159,149,117,118,146,163,119,117,150,119,124,198,107,116,123,126,130,137,143,149,154,159,198,169,114,113,132,152,165,148,122,118,119,118,118,129,142,117,85,147,107,117,124,126,130,137,144,150,154,166,198,200,149,134,142,151,155,137,121,121,121,119,121,135,143,118,80,81,108,118,124,126,131,138,144,150,153,184,205,204,198,169,126,109,111,107,102,105,114,124,134,143,146,126,87,72,109,118,125,127,131,138,145,152,156,184,208,201,196,193,165,107,60,63,59,66,84,112,138,140,134,119,90,81,109,118,125,128,131,138,144,152,157,170,202,206,185,181,193,154,63,43,41,46,51,78,125,134,126,113,98,91,108,117,123,127,131,137,144,151,155,165,194,199,189,170,184,135,67,45,41,49,47,71,126,142,140,131,120,107,105,112,118,122,126,131,137,144,149,171,203,195,177,165,159,108,65,47,45,52,52,68,115,139,144,141,132,118,83,87,91,93,96,98,100,104,109,123,178,203,185,153,145,131,73,49,51,53,63,73,92,119,133,135,131,119,82,84,86,86,88,89,89,87,88,90,117,149,157,153,141,129,91,58,54,53,63,75,81,100,118,125,124,115,87,87,88,89,90,92,93,92,92,96,98,101,105,110,105,102,97,68,58,53,61,76,83,91,115,122,118,108,88,88,88,90,90,92,93,93,93,96,97,97,98,99,107,109,116,97,86,81,82,91,92,91,112,120,113,104,89,89,90,91,90,92,93,93,93,95,96,96,97,96,100,118,133,135,141,129,119,133,134,124,123,124,111,99,88,89,90,91,91,91,93,94,94,96,97,97,96,98,98,97,106,134,152,144,159,173,172,166,150,138,121,99,87,88,88,90,91,92,94,94,95,96,98,99,97,98,99,100,99,105,116,134,165,183,179,170,153,133,118,106,87,88,88,90,90,92,93,93,94,95,97,98,98,98,98,100,99,99,99,106,123,137,155,142,129,119,115,122,87,87,88,89,91,92,93,93,94,95,95,96,96,97,97,98,100,100,101,99,99,103,126,117,123,134,132,120
0,235,233,234,234,235,234,234,232,234,234,234,235,234,233,232,233,231,231,230,229,227,226,226,226,224,221,221,221,238,238,237,237,237,238,237,237,237,237,237,236,236,235,234,234,233,231,232,231,230,228,228,229,226,225,224,222,240,241,240,240,240,241,240,240,239,238,238,238,238,237,237,236,235,232,233,231,231,230,230,229,227,225,224,223,240,241,241,241,241,240,240,240,240,240,241,240,239,237,239,237,236,236,236,232,232,232,231,230,230,228,227,225,241,241,241,241,241,241,240,241,241,241,242,242,242,240,240,243,239,238,241,239,234,233,233,233,232,230,229,229,244,243,244,242,241,242,241,242,242,242,242,242,240,242,235,218,237,244,219,215,241,208,203,239,231,231,231,230,244,244,244,244,243,243,242,242,243,242,243,246,248,239,196,152,149,201,173,140,165,212,141,232,235,233,232,229,245,245,245,245,245,245,246,246,247,250,246,221,193,207,192,160,107,116,178,143,102,210,141,188,249,231,234,231,245,246,247,247,246,245,244,245,224,224,233,198,137,113,187,168,139,126,180,150,105,185,179,113,222,242,232,234,247,248,248,248,247,247,243,230,185,132,210,193,149,100,177,178,154,123,188,155,96,152,194,127,122,220,238,233,248,247,248,248,247,248,231,223,193,138,192,201,163,114,170,185,143,119,194,158,90,106,200,165,109,141,252,232,248,249,250,249,250,245,217,214,206,162,173,211,161,118,146,188,140,102,166,141,81,109,206,176,99,152,253,233,251,251,250,250,250,239,202,192,206,172,155,203,155,115,127,187,138,69,95,95,62,165,214,168,86,209,246,236,253,252,249,250,249,233,223,177,186,167,121,182,163,126,89,123,97,39,73,73,121,208,207,136,114,248,238,240,253,253,251,252,246,225,201,144,153,121,72,144,154,118,54,51,68,118,168,148,185,209,184,101,168,255,238,240,253,254,253,255,243,223,211,169,132,92,62,81,105,67,48,87,166,210,207,192,169,192,157,77,218,249,240,241,254,255,254,255,240,227,224,196,152,129,110,113,124,129,155,195,216,209,200,193,151,149,113,91,251,244,243,241,255,255,254,255,238,227,233,203,172,148,136,148,181,210,220,224,225,211,192,179,131,112,67,179,255,243,244,241,255,255,254,255,239,219,233,207,179,145,147,157,210,225,227,230,223,198,179,162,119,60,138,255,245,246,245,244,254,255,254,255,245,208,224,210,187,160,155,176,227,230,227,230,210,182,160,142,77,107,254,248,246,247,247,245,253,255,254,254,254,212,219,217,194,181,167,192,224,230,228,215,187,169,146,105,77,234,252,246,246,246,246,244,255,255,254,254,255,222,207,220,209,193,169,196,220,221,218,197,167,149,124,65,196,255,243,247,246,245,244,242,255,255,255,254,255,240,201,215,207,188,167,187,212,203,193,171,145,126,66,152,255,245,249,247,246,245,244,243,255,255,255,255,255,254,209,210,198,180,167,178,200,188,171,148,122,67,117,255,250,251,249,247,247,247,246,245,255,254,255,255,255,251,217,211,190,172,168,172,193,179,150,131,74,108,253,253,250,252,250,249,248,247,247,246,254,254,254,254,255,242,216,208,198,194,189,177,185,174,138,97,77,245,255,251,252,252,251,249,248,248,246,245,255,255,255,255,255,220,215,217,211,206,193,180,179,159,118,65,162,255,249,255,253,252,253,250,250,250,245,243,216,220,224,227,231,203,219,227,216,204,193,182,163,132,105,69,214,255,253,254,254,253,251,250,249,248,246,244
14,183,184,185,185,184,185,185,186,186,185,184,185,185,185,185,183,182,181,180,179,178,177,176,175,174,172,171,169,186,187,187,188,188,187,188,188,187,187,187,188,188,188,187,186,185,183,182,182,180,180,179,177,176,175,173,172,188,189,190,190,190,189,190,190,189,189,189,190,190,189,189,189,188,187,186,186,184,183,182,181,180,178,177,175,191,192,192,192,194,193,193,193,193,192,192,193,193,190,182,174,180,183,181,179,179,180,185,183,183,181,180,179,194,195,194,195,196,196,196,195,195,194,195,194,192,187,173,157,161,163,156,159,153,132,157,186,185,183,182,180,196,197,197,197,198,198,198,198,198,196,194,179,175,183,186,181,175,160,127,132,145,123,103,144,184,186,184,182,198,199,199,199,200,200,199,199,200,198,196,193,188,191,190,181,171,159,143,122,129,134,110,110,146,171,185,185,201,201,201,201,201,201,201,200,200,199,197,184,168,160,148,131,112,114,137,143,146,146,110,111,131,118,173,188,202,202,203,203,203,203,203,202,202,200,195,171,164,162,137,110,93,93,92,119,133,119,92,80,94,76,104,175,204,204,204,204,204,205,204,205,201,188,188,193,189,172,150,133,131,145,115,156,171,154,164,128,83,64,67,111,207,207,206,206,206,206,207,207,200,189,191,183,168,139,119,111,109,108,124,192,202,200,200,199,148,70,76,85,208,208,208,208,208,207,208,208,197,188,177,147,114,72,55,55,57,96,184,203,202,202,202,188,112,92,101,97,209,209,209,209,209,209,208,206,197,183,138,90,59,47,49,51,49,140,208,204,205,203,203,144,98,116,111,89,210,211,211,210,212,211,211,206,198,176,121,70,54,55,58,62,60,162,209,207,206,206,182,108,109,117,104,82,212,212,212,212,213,213,213,206,196,170,117,65,59,58,57,58,61,180,211,208,207,206,137,95,108,108,88,122,214,213,214,214,214,215,215,205,196,158,97,65,70,58,55,54,51,157,214,209,210,180,105,94,98,96,88,174,215,215,215,215,215,216,213,202,195,156,106,84,70,57,57,52,45,72,153,202,197,119,102,104,94,80,139,201,217,217,217,217,216,217,211,202,198,167,118,89,66,59,62,62,63,65,74,120,121,89,102,103,87,114,197,203,217,218,218,218,217,217,211,198,197,165,122,93,66,61,69,76,80,84,88,92,84,91,102,93,95,182,208,205,218,219,218,218,218,218,211,194,192,166,135,96,64,62,72,84,87,92,98,106,102,91,102,87,149,210,208,206,218,219,219,218,218,220,211,189,190,172,137,98,72,61,73,89,92,93,100,112,111,98,86,97,196,212,210,208,218,219,220,220,220,221,212,192,195,175,144,112,82,62,75,92,95,98,106,117,116,100,80,148,213,212,210,209,220,220,221,223,222,222,211,194,197,173,141,111,88,65,72,95,97,102,112,119,112,89,109,206,215,213,212,210,222,223,223,223,223,223,210,196,194,165,136,113,93,72,68,95,97,103,114,114,103,78,154,218,215,214,213,211,222,222,223,223,222,224,209,194,190,160,132,116,96,78,66,87,96,101,109,106,89,90,197,217,215,215,213,213,221,222,222,223,222,224,205,188,185,156,132,117,95,79,66,81,95,96,98,93,74,150,219,217,216,215,214,213,222,222,223,223,223,224,205,183,177,154,130,109,91,78,68,75,89,91,88,76,112,206,217,216,215,214,213,212,223,223,224,224,223,225,203,180,171,152,126,106,91,79,70,74,83,85,75,95,194,219,217,216,216,215,214,211
13,170,170,173,175,176,177,178,179,180,180,181,181,181,180,181,180,179,177,176,175,175,174,172,169,168,166,165,165,170,171,173,176,178,179,179,180,181,182,181,180,183,182,181,180,180,179,178,177,175,175,174,172,171,169,167,166,171,173,175,178,180,181,181,182,183,182,169,146,151,180,167,142,147,178,180,179,177,176,176,174,173,172,170,168,172,175,176,179,181,181,183,185,185,187,169,137,114,136,144,119,88,149,184,181,179,179,177,175,174,173,171,169,173,176,178,180,181,183,184,186,186,194,187,152,123,87,131,125,88,115,185,182,181,180,179,177,175,173,172,170,174,177,180,181,182,184,185,186,187,190,191,155,119,78,108,118,85,97,183,185,182,181,179,178,177,175,173,172,175,178,181,183,184,185,186,187,189,191,182,151,114,80,85,99,75,89,183,185,183,182,180,179,179,177,175,173,176,179,181,184,186,187,188,185,173,174,164,149,120,91,81,107,77,97,185,185,185,184,183,181,180,179,176,174,177,179,182,185,187,189,188,172,130,111,115,151,149,107,89,113,85,100,186,187,186,186,184,182,181,179,177,176,178,181,183,186,187,189,191,168,128,108,95,143,157,113,82,102,78,73,163,190,188,187,185,183,182,180,179,177,179,182,184,186,187,178,149,147,142,127,95,82,109,83,70,80,78,78,114,186,189,187,186,184,184,181,180,178,180,182,185,186,191,169,119,105,147,136,112,61,38,41,63,83,97,103,88,156,191,188,187,185,185,183,181,179,181,183,185,194,194,156,124,107,126,141,118,85,39,58,73,102,119,115,89,115,191,189,187,186,185,183,182,180,181,184,187,196,166,151,138,121,102,133,124,98,52,74,123,138,127,107,88,101,190,190,187,187,186,184,182,180,181,184,188,197,160,133,133,117,98,107,110,81,52,87,141,152,135,101,77,112,193,191,189,189,187,186,183,180,182,184,190,188,159,123,110,103,80,63,83,74,61,112,152,148,132,97,68,138,196,192,189,188,187,186,183,181,182,185,188,190,178,149,113,85,62,52,81,87,96,155,162,142,124,92,70,165,196,193,190,188,187,186,184,182,183,186,188,189,184,163,135,115,96,93,107,113,151,176,157,132,112,86,83,185,195,193,192,189,188,187,185,183,184,187,188,188,181,167,145,123,105,109,142,168,175,167,147,124,103,76,103,196,196,194,192,189,188,186,185,184,184,187,189,189,172,158,143,123,108,112,137,170,169,156,134,113,94,67,128,199,197,195,193,190,188,187,186,186,184,186,190,190,168,155,144,127,119,115,129,162,166,150,124,100,83,64,160,200,198,195,193,191,188,188,187,185,184,187,189,192,179,157,146,134,124,114,122,153,157,138,110,87,68,87,190,199,197,195,194,192,189,188,187,186,183,186,189,193,191,165,148,137,123,112,111,136,143,124,97,78,60,142,201,199,198,196,194,193,190,189,188,186,184,186,190,193,195,186,156,135,119,112,111,124,135,118,94,73,77,185,200,199,197,196,195,193,191,190,189,187,184,187,191,194,195,193,170,143,126,119,122,124,131,117,90,70,118,201,200,199,198,197,195,193,193,191,189,187,184,187,190,192,194,189,177,155,146,142,138,131,131,112,84,72,155,202,199,198,197,196,195,192,192,190,188,186,183,185,189,192,192,183,185,165,157,151,142,135,123,103,79,77,178,200,198,196,195,195,193,191,189,188,186,185,182,186,188,192,191,181,190,170,160,156,141,127,109,97,74,86,190,199,198,196,196,195,194,192,190,188,185,184
10,82,84,85,89,94,98,104,117,126,133,139,143,145,150,153,156,160,163,164,166,168,168,170,171,172,171,173,174,83,85,87,90,94,98,105,118,128,135,142,145,147,151,154,157,160,162,163,169,168,170,170,172,173,172,173,174,82,86,88,92,96,99,107,120,130,137,144,146,147,153,156,159,159,170,170,148,171,171,172,174,174,174,174,174,81,86,88,93,97,100,109,123,132,140,145,147,151,154,158,163,157,196,184,103,161,177,175,176,177,176,176,176,83,87,89,93,98,101,111,125,134,142,147,149,153,156,160,164,161,185,192,119,129,184,176,178,179,179,179,179,84,88,91,93,98,102,113,126,135,144,148,151,156,159,163,167,167,177,200,136,103,176,182,182,182,182,182,182,85,89,92,95,99,102,115,128,137,146,151,152,157,162,165,168,173,172,199,161,108,155,189,183,185,185,184,184,85,90,92,96,100,103,116,130,139,147,152,153,158,164,168,171,174,174,197,181,120,131,194,185,187,188,187,187,86,90,93,98,100,104,119,132,141,149,154,154,160,164,170,170,191,180,122,160,135,109,189,191,191,190,190,191,88,90,94,97,100,106,121,134,143,151,154,157,163,168,172,173,206,150,94,129,188,110,175,197,193,194,193,193,88,91,94,98,101,108,122,135,144,153,155,158,165,168,176,175,200,142,109,98,206,119,154,203,195,197,196,195,88,92,94,99,102,109,124,136,146,154,157,162,165,176,167,187,222,164,153,105,149,137,130,206,197,200,199,198,89,92,95,100,103,110,126,138,149,156,158,156,181,226,184,205,191,185,177,125,97,133,115,201,200,201,201,202,91,92,96,100,103,111,127,139,150,157,163,171,184,252,214,216,153,142,183,149,99,105,100,185,206,202,203,202,92,93,97,100,103,112,128,140,153,149,213,237,170,180,221,225,173,94,164,180,128,94,82,164,211,202,204,204,92,93,96,100,104,113,129,143,154,152,222,254,191,107,165,229,165,97,109,182,150,110,76,144,214,204,207,207,92,94,97,101,105,115,131,143,155,162,190,166,201,180,121,162,115,74,77,154,161,128,88,129,215,205,207,208,92,94,97,101,105,116,132,144,156,162,201,149,171,198,105,123,136,65,115,163,161,148,106,115,213,207,208,209,93,95,97,101,106,117,133,146,159,158,214,198,141,122,107,142,146,137,204,190,165,156,119,110,205,211,210,210,93,96,98,102,106,119,135,148,160,161,214,194,165,147,134,144,155,223,224,181,169,150,121,116,205,213,210,211,93,96,99,102,106,120,135,149,163,160,236,228,195,156,153,166,246,253,203,164,150,139,122,126,210,212,212,213,93,95,100,101,106,121,135,149,163,160,236,242,199,168,180,201,255,232,195,167,137,127,117,141,218,213,214,215,94,95,99,102,106,121,137,151,165,159,244,250,197,197,189,213,255,221,184,161,136,120,112,163,221,212,214,215,94,96,99,102,106,122,139,152,165,161,234,238,205,214,195,239,245,205,170,147,130,121,112,177,222,214,215,216,94,97,100,102,108,123,139,153,166,161,217,236,229,221,217,248,224,183,156,135,124,121,117,199,220,215,217,217,94,96,101,102,108,124,139,153,167,162,196,251,244,220,202,217,202,167,142,129,124,112,134,219,217,218,218,219,94,97,101,101,108,126,141,154,165,169,175,238,230,208,186,189,186,170,148,135,125,102,160,224,218,219,219,222,94,96,101,102,110,128,142,156,165,171,169,209,208,192,183,187,183,186,162,133,120,98,178,225,217,220,221,223
4,198,200,202,202,202,204,205,205,207,207,207,207,208,208,207,208,208,207,206,206,206,207,207,207,207,206,205,204,199,201,202,203,204,206,207,207,208,208,208,208,209,209,209,208,208,208,207,208,207,207,207,208,208,208,207,206,200,202,204,204,204,207,208,208,209,209,208,209,209,210,209,209,209,210,209,209,209,209,209,210,210,209,209,208,203,203,205,207,207,209,209,209,210,210,210,209,210,211,210,213,215,213,209,211,212,212,212,212,212,211,210,209,204,205,207,207,208,210,210,210,211,210,211,216,233,237,218,213,239,230,194,193,210,211,214,214,214,213,211,209,205,207,207,208,209,210,211,212,212,221,232,230,214,237,219,169,197,217,179,147,206,202,187,212,214,213,212,212,208,208,209,210,210,212,213,212,224,250,251,217,162,190,202,151,152,194,155,158,232,198,144,193,216,214,214,214,208,209,211,213,213,213,214,212,241,250,247,215,155,167,206,143,125,199,170,210,237,192,134,191,219,217,217,216,209,211,212,215,215,214,215,213,244,239,226,226,184,142,202,156,145,210,223,245,234,214,154,195,220,218,218,216,211,212,214,216,216,215,217,215,245,238,213,205,165,103,158,216,213,220,229,222,226,233,193,185,220,218,218,218,211,214,215,217,217,216,217,221,251,245,217,185,148,112,111,185,191,196,201,185,232,248,227,179,208,222,220,220,212,214,216,218,219,219,217,230,254,239,201,171,155,139,130,138,140,159,158,150,241,254,241,196,179,223,221,220,215,216,217,219,219,222,220,235,254,240,203,167,144,138,143,148,138,158,145,176,244,251,239,204,160,212,223,222,216,217,218,220,221,222,220,240,255,242,208,171,149,141,149,160,167,193,206,247,250,241,220,187,153,193,226,224,217,217,219,221,223,223,221,244,255,244,217,184,155,145,155,174,184,215,246,254,248,233,203,169,147,194,227,224,218,220,222,223,223,225,222,244,255,246,227,198,163,147,155,178,208,242,255,253,244,224,191,158,146,210,226,224,219,221,223,223,224,225,223,244,255,249,235,206,178,161,162,191,236,254,255,251,235,210,177,147,158,224,227,226,219,221,223,223,225,226,223,243,255,253,241,216,199,177,182,207,246,254,253,245,224,194,162,140,182,231,228,228,221,222,223,224,226,227,225,240,255,254,247,225,213,200,192,211,238,254,247,231,208,179,149,138,208,232,229,229,222,223,224,225,226,227,228,237,254,255,251,234,222,210,194,198,228,250,232,216,196,163,140,153,227,231,230,229,223,224,226,227,228,227,224,224,244,245,241,228,215,199,190,189,211,235,214,197,181,151,130,186,234,232,231,230,225,225,224,212,196,182,168,158,158,156,145,134,129,130,134,144,166,190,189,182,168,141,135,220,236,234,233,232,225,226,188,166,154,149,142,137,128,118,107,95,88,84,72,70,82,90,101,121,137,123,167,234,235,234,233,231,226,226,172,152,151,146,141,137,124,115,103,93,88,81,68,67,72,69,62,59,70,93,206,238,235,234,233,232,227,230,186,148,147,143,140,134,118,107,99,90,87,77,70,70,73,65,58,57,56,55,126,232,236,235,235,235,228,232,200,151,146,141,139,129,116,104,97,89,85,77,70,70,71,63,56,54,54,53,55,191,240,236,237,237,229,232,210,155,144,143,139,128,114,105,96,87,82,77,70,70,67,61,54,52,53,52,71,211,240,237,237,237,229,232,215,153,143,146,134,123,111,103,93,86,79,76,71,69,65,59,53,51,54,48,141,242,238,238,238,238
7,213,214,216,217,217,218,217,217,217,217,215,214,214,213,212,211,210,209,207,207,206,206,203,209,173,66,54,68,215,215,217,219,219,219,220,219,218,218,217,216,216,215,218,214,212,211,209,206,209,204,202,209,197,158,132,121,216,218,220,222,223,223,222,222,221,222,219,217,219,209,190,203,207,202,188,189,184,188,214,199,170,119,202,199,219,221,223,225,223,224,224,223,222,220,221,222,224,212,186,192,214,209,186,181,174,178,218,179,158,150,225,160,221,223,224,225,225,224,225,224,229,233,241,241,234,207,195,200,183,171,174,159,160,146,143,169,187,162,155,132,223,224,225,227,227,227,218,224,239,247,246,236,226,217,214,210,182,143,174,185,169,163,151,152,134,160,154,190,225,225,229,227,242,246,229,223,230,234,229,226,224,222,221,203,180,166,174,182,171,170,163,142,119,152,151,161,225,227,229,232,255,253,239,223,224,232,231,228,227,222,219,203,179,162,148,139,131,132,124,118,113,116,135,201,228,230,228,248,255,253,228,202,208,225,230,225,216,199,182,162,144,152,145,147,155,166,170,169,181,191,199,192,231,232,230,255,255,248,213,194,211,204,194,185,170,161,152,138,133,161,236,228,226,228,226,225,221,217,219,176,233,228,245,255,255,242,224,217,207,190,191,196,193,186,181,177,186,122,134,218,225,222,221,219,216,214,214,213,233,230,255,255,255,255,255,239,202,199,204,202,195,179,175,170,163,130,55,130,235,223,224,221,219,217,214,215,228,244,255,255,255,255,255,240,184,184,193,187,181,169,163,153,139,116,68,97,234,224,225,224,221,219,217,215,233,255,255,255,255,255,254,223,189,179,154,132,130,148,162,170,180,153,81,169,233,224,226,225,223,223,219,215,255,255,255,255,255,254,242,223,203,182,160,148,167,204,202,182,187,165,160,242,225,226,226,225,224,223,220,216,255,255,255,255,255,247,235,211,192,201,186,177,197,195,179,169,166,130,161,243,228,229,227,226,225,223,221,219,255,255,255,255,253,235,206,196,215,221,193,183,185,175,169,159,148,97,183,241,232,231,228,227,227,224,223,220,255,255,255,255,244,221,218,230,239,224,201,173,153,137,123,105,100,142,233,234,234,234,231,228,226,225,223,220,255,255,255,247,237,234,237,233,226,209,177,148,112,156,129,145,200,237,238,237,235,234,232,230,227,225,223,222,255,255,245,242,239,243,233,213,209,196,173,130,164,245,244,247,247,239,239,236,233,233,233,232,228,226,225,222,250,242,245,241,234,232,223,208,206,181,128,160,250,243,242,241,240,241,241,238,236,234,233,233,230,228,226,224,240,231,235,233,223,216,209,200,177,127,143,247,245,243,242,241,241,241,240,237,237,237,234,233,231,229,224,220,238,232,226,216,203,198,190,173,124,133,240,247,241,242,242,242,240,241,238,237,235,234,234,232,227,229,230,213,235,225,212,194,178,174,156,114,138,237,250,246,245,245,242,241,240,240,238,237,237,236,232,229,238,203,124,175,213,196,180,159,148,129,103,151,243,251,246,248,247,246,243,242,241,241,239,237,236,234,236,239,213,110,53,60,186,171,160,151,126,125,189,253,249,246,247,248,246,246,244,242,242,241,238,238,244,245,222,158,88,62,58,53,180,176,155,126,125,243,255,247,247,247,247,247,246,246,245,242,243,244,246,235,203,152,92,62,60,64,59,56,202,189,157,112,141,255,245,248,247,246,247,248,246,245,244,241,235,225,180,119,72,48,54,58,53,54,55,55
4,136,138,139,141,143,144,145,147,148,149,151,152,152,151,151,150,149,150,149,149,148,146,146,146,148,147,145,143,135,137,139,142,143,144,146,148,149,149,151,151,153,151,151,149,151,151,151,149,148,148,148,148,148,147,146,145,138,139,141,144,144,146,148,147,149,149,152,152,153,152,150,155,149,152,153,151,151,151,150,149,147,148,147,147,139,140,142,144,145,147,149,149,151,152,155,152,167,155,133,130,163,151,132,147,154,151,150,149,148,148,148,147,140,142,143,144,147,149,150,151,153,157,142,164,197,149,136,101,179,145,118,97,152,154,156,151,149,148,148,147,141,144,144,145,148,152,151,149,194,190,156,124,195,162,125,125,192,149,123,63,142,129,128,156,149,149,151,150,140,145,146,145,149,153,147,167,214,209,175,95,163,179,110,144,200,148,99,113,158,107,68,125,157,150,152,151,142,145,148,148,150,152,147,191,199,202,156,91,158,179,121,141,174,155,171,156,98,94,58,74,158,153,153,152,144,146,149,152,152,150,157,203,169,194,141,75,139,165,171,164,178,207,209,159,92,59,55,62,158,154,153,153,144,147,149,151,155,148,171,201,157,176,149,61,115,149,157,178,190,193,175,167,125,65,39,70,162,154,154,153,145,148,151,152,154,151,197,194,153,152,164,59,92,145,84,124,160,166,156,176,136,87,35,84,165,153,155,154,146,148,150,154,148,172,207,165,140,127,104,46,93,152,53,104,148,116,163,184,149,104,45,106,165,154,156,156,147,149,152,155,147,194,196,150,119,121,97,71,94,125,58,109,166,62,166,202,166,122,57,134,165,156,157,156,148,151,153,153,153,211,193,147,114,102,88,81,87,86,80,85,122,78,155,216,180,133,65,106,168,158,158,156,149,151,156,151,162,223,190,149,113,93,75,81,92,90,126,127,148,178,169,191,175,127,85,64,162,161,159,159,150,154,157,149,175,226,188,146,107,98,83,86,85,98,148,160,190,184,185,157,146,133,101,62,151,164,159,159,151,153,157,148,188,225,190,138,111,119,98,82,75,122,176,189,188,177,170,139,107,127,92,75,160,160,160,160,150,153,156,147,199,224,185,141,141,141,104,95,139,192,203,188,187,176,148,121,94,95,67,106,168,159,160,159,148,151,155,148,204,220,188,167,172,147,109,159,200,210,211,188,179,159,133,111,87,73,64,147,163,162,161,160,148,152,155,152,210,218,202,184,175,160,119,183,206,211,216,180,156,143,123,105,82,54,103,170,162,162,160,160,150,153,156,153,211,222,210,188,167,163,130,189,213,212,201,168,138,126,114,98,70,63,155,166,163,162,161,161,150,152,159,150,201,225,209,192,167,158,150,192,210,194,178,154,125,116,106,84,55,109,171,161,164,164,163,162,151,154,158,150,188,220,199,188,174,158,156,178,191,175,155,133,121,119,97,65,67,160,166,166,164,163,162,161,151,153,158,151,192,209,184,182,182,166,159,168,179,163,145,123,115,111,87,54,124,174,163,164,164,162,161,160,150,153,158,149,190,199,175,181,183,160,144,164,180,163,137,109,102,100,69,92,170,167,166,165,162,163,162,162,149,152,158,151,181,202,179,181,171,160,137,156,183,157,118,90,93,82,73,152,166,163,165,164,161,160,161,160,96,96,101,86,149,215,189,188,170,162,141,144,177,141,102,86,84,70,69,89,87,86,86,86,84,87,86,81,63,62,67,49,123,228,202,195,178,169,147,133,172,141,101,83,73,63,57,55,52,53,53,52,53,51,57,129
3,106,42,69,97,115,124,134,144,151,156,161,164,167,170,172,174,176,178,180,181,168,185,188,190,193,193,193,194,99,38,75,100,117,125,135,145,152,157,161,165,168,170,172,176,178,180,183,195,135,164,194,191,192,193,194,196,87,40,80,101,119,127,137,147,153,159,163,166,169,171,174,176,179,180,186,206,137,148,198,191,192,194,196,197,77,43,85,104,119,129,139,149,154,159,165,169,170,172,175,177,181,180,191,203,130,151,198,190,193,194,196,198,67,47,88,107,120,130,140,151,154,161,166,168,171,175,176,177,185,183,196,202,129,160,198,192,195,197,198,199,56,53,91,110,122,131,143,152,156,162,167,169,173,177,180,181,170,174,206,187,128,159,200,195,198,198,199,201,46,61,94,112,124,133,143,154,159,163,168,169,172,161,192,217,179,142,192,165,122,162,203,196,199,199,200,201,41,67,97,114,125,134,145,154,159,165,163,196,217,176,152,190,200,134,162,163,111,176,203,198,200,200,201,203,38,73,100,117,126,136,147,156,160,163,171,188,204,213,162,140,197,165,175,152,115,192,200,200,201,202,203,204,40,78,101,119,128,138,149,156,156,184,227,194,135,162,182,120,183,185,177,144,112,195,200,200,202,204,205,205,44,83,103,120,130,139,150,158,157,195,205,194,170,133,177,158,107,107,176,159,126,152,206,201,204,205,205,207,48,86,106,121,130,139,151,158,157,201,182,136,175,162,146,179,108,98,163,194,177,119,182,208,204,205,206,208,54,88,108,122,131,140,152,157,161,209,170,108,119,121,125,128,128,131,137,193,180,122,180,210,204,206,208,208,58,91,110,123,133,141,153,155,165,206,168,157,139,111,126,127,148,142,147,199,176,121,195,208,206,208,209,209,62,95,111,123,134,142,154,154,175,214,189,160,131,115,133,150,166,144,164,219,174,128,206,207,208,209,210,212,68,97,113,124,134,143,153,153,178,216,173,141,120,123,140,166,171,167,195,217,160,135,211,206,208,209,212,213,73,99,114,125,135,145,154,154,180,212,171,145,127,131,147,174,179,207,212,207,150,136,212,207,209,210,211,212,78,100,116,126,136,146,155,154,179,218,185,153,136,132,150,178,203,227,205,183,145,139,215,207,211,212,212,213,81,101,118,127,137,146,155,155,178,219,189,164,140,140,152,192,225,223,202,164,124,157,216,207,211,212,213,213,85,102,118,128,137,147,154,157,176,221,199,172,146,146,158,208,223,215,199,159,109,170,215,207,211,213,213,213,87,104,119,128,138,147,154,159,169,212,197,173,161,152,164,217,223,208,191,151,105,185,213,208,211,214,213,213,90,105,119,128,138,148,154,159,165,197,198,182,177,163,169,212,216,199,183,140,110,201,211,211,211,213,213,214,92,107,120,128,138,149,153,159,163,185,203,192,185,176,164,197,202,184,169,130,127,213,209,211,212,213,213,214,92,108,121,129,138,150,155,160,164,182,206,196,187,172,161,180,187,174,169,115,155,218,208,211,212,213,215,215,93,109,120,129,138,150,155,160,163,186,218,196,182,162,156,170,171,170,165,117,190,213,209,212,213,213,215,216,95,110,121,129,139,150,155,161,162,193,223,193,182,164,160,173,165,171,139,136,213,207,210,211,213,214,215,215,95,111,121,131,140,149,154,162,161,205,223,203,190,168,173,182,164,160,120,168,214,207,210,212,213,214,215,215,95,112,121,130,140,149,154,162,162,210,224,218,185,169,181,181,160,138,114,189,210,209,211,212,213,214,215,215
21,164,166,169,169,169,170,171,171,171,171,171,166,169,171,169,167,165,164,164,164,162,159,158,157,156,155,154,152,165,168,170,171,171,172,172,173,173,172,176,151,127,171,171,169,168,167,166,166,164,162,160,160,158,157,156,154,165,169,171,172,173,173,174,175,175,175,175,159,113,140,179,169,170,170,168,167,166,164,160,148,159,159,157,155,167,169,171,173,174,175,176,177,177,176,176,168,133,103,174,173,171,171,170,169,168,167,159,107,134,166,158,158,169,171,173,174,175,176,177,178,178,178,178,175,147,93,153,180,172,173,172,171,168,169,151,98,128,169,159,159,170,173,175,176,176,177,178,179,178,180,180,179,163,114,127,183,174,175,174,173,170,169,142,94,143,167,161,160,171,174,176,177,177,178,179,180,179,182,182,181,174,129,107,177,177,176,174,174,173,165,126,95,159,165,162,161,173,176,177,178,179,180,182,181,181,183,183,182,183,138,95,164,181,176,176,175,174,160,117,108,171,164,164,163,174,177,178,179,180,182,183,183,183,184,184,183,184,154,103,145,185,176,177,176,168,146,101,129,174,166,166,164,175,178,179,181,181,181,182,183,183,185,185,184,179,169,124,125,187,176,178,177,160,130,85,155,173,167,165,164,176,177,179,181,181,182,183,184,184,186,187,185,182,179,149,113,169,187,180,178,162,117,100,175,169,170,167,165,177,178,180,182,183,184,185,185,186,187,188,187,185,184,178,139,124,161,171,162,147,100,134,180,169,170,169,167,177,179,181,183,184,185,186,187,188,188,188,188,185,141,144,154,120,118,121,129,106,87,162,176,171,171,170,169,178,179,182,184,185,186,187,188,189,189,189,189,181,131,100,136,132,127,132,135,83,101,183,174,173,172,171,170,178,180,182,184,185,186,188,189,189,189,189,190,166,153,116,114,133,117,122,121,86,108,185,174,174,173,172,170,179,181,184,184,186,188,190,189,190,190,191,170,130,150,126,100,119,81,111,139,102,84,175,177,174,174,173,171,179,183,184,186,188,189,190,191,191,190,189,168,124,131,127,82,94,72,98,145,119,78,135,184,173,174,173,171,181,183,185,187,189,190,190,191,191,191,189,173,129,114,113,70,93,94,143,153,142,91,91,182,174,174,173,172,181,184,186,188,189,190,191,191,194,193,185,159,130,105,99,70,96,132,173,156,134,90,88,180,176,175,174,172,181,184,187,189,189,191,192,193,193,193,183,170,153,116,88,78,115,172,162,142,121,76,101,186,176,177,175,173,183,184,186,188,190,191,192,192,193,194,183,174,158,125,106,105,164,178,152,128,117,71,123,188,176,177,175,173,183,185,187,189,191,191,192,194,194,195,181,171,158,133,106,109,168,166,151,129,113,72,142,188,177,177,175,173,182,185,187,189,190,191,192,194,194,195,181,161,152,131,107,109,159,162,143,124,102,71,159,185,178,177,176,174,182,185,189,190,191,192,193,194,194,196,184,158,156,138,118,110,152,156,137,113,85,77,179,182,179,178,176,175,183,184,188,190,191,192,193,195,195,195,193,167,156,142,123,101,136,137,117,100,64,104,191,178,179,178,176,175,182,183,185,188,189,191,192,193,193,193,194,178,165,146,121,103,116,122,105,89,56,145,188,178,178,176,175,174,181,184,186,188,190,191,192,193,193,194,193,182,165,145,123,113,109,116,115,77,83,183,180,179,177,176,175,174,182,184,186,189,190,191,192,193,193,193,192,183,169,148,136,131,118,119,110,66,134,191,179,179,177,176,175,173
1,64,67,71,76,88,106,120,126,130,135,141,146,150,154,158,160,163,165,166,167,168,170,171,171,172,173,173,173,65,68,73,78,91,108,122,129,132,139,144,148,153,167,146,161,164,165,166,167,168,170,171,171,171,172,172,172,67,70,74,80,94,112,126,132,136,144,148,152,162,187,117,142,153,166,168,168,169,170,171,171,171,172,172,172,67,71,76,81,97,115,129,135,141,148,157,157,157,191,114,119,123,149,172,173,173,172,173,173,172,173,172,172,68,72,77,82,100,119,132,138,145,153,184,165,127,190,115,117,134,115,177,179,178,178,178,176,175,176,175,174,70,74,79,83,102,122,136,141,149,157,191,167,117,180,113,112,141,99,174,183,183,183,183,182,180,180,179,179,71,74,79,87,107,125,137,144,153,160,194,167,109,174,125,114,146,101,168,189,188,188,188,187,186,185,184,183,72,76,81,89,110,128,141,147,157,168,187,168,103,152,122,116,159,110,160,194,194,194,194,192,190,190,188,187,72,76,81,92,114,132,144,150,169,175,165,165,101,134,120,103,158,113,155,199,199,199,199,198,196,194,193,192,74,78,82,95,118,136,147,152,192,166,155,163,102,146,130,102,177,130,153,204,203,203,203,202,201,200,200,199,74,79,83,97,121,139,149,155,200,151,147,174,109,138,128,104,185,143,147,208,208,208,208,206,205,204,204,202,77,80,83,100,124,142,152,159,205,145,131,174,107,109,117,111,178,144,139,212,211,211,210,210,209,209,207,206,79,82,85,103,127,145,155,164,210,147,106,169,110,106,117,138,160,135,129,215,215,215,215,214,213,211,211,210,79,82,86,106,130,148,158,169,216,153,94,184,171,144,143,154,141,109,117,216,218,218,217,216,215,215,215,214,78,81,86,109,133,152,161,172,212,152,123,153,151,135,139,133,127,126,108,207,221,221,221,220,219,218,217,217,79,81,87,111,136,154,163,178,218,175,152,123,121,132,139,122,139,157,137,163,222,223,224,224,223,223,222,221,79,82,89,114,138,158,166,189,224,180,143,114,123,120,152,160,183,192,175,130,186,226,226,226,224,224,225,225,79,82,91,118,142,161,168,199,227,176,131,111,124,137,182,215,196,197,190,130,115,219,228,229,227,228,228,227,79,83,92,121,145,164,170,203,229,175,126,118,133,150,202,226,229,202,161,105,101,208,231,231,230,230,230,229,80,83,94,125,149,166,173,201,234,183,128,123,141,167,208,225,226,195,144,102,102,218,232,233,233,226,199,151,81,83,97,127,151,169,175,198,233,195,142,123,152,177,214,229,218,183,137,102,115,231,235,222,169,110,70,54,80,83,99,129,154,171,177,197,231,210,160,128,156,178,218,228,205,171,129,100,137,235,209,111,58,48,47,43,79,81,100,132,156,172,178,193,222,213,174,139,154,179,218,220,197,161,121,94,162,192,97,60,53,33,46,46,77,80,101,133,157,172,177,190,210,211,183,151,158,175,211,211,186,150,115,89,122,76,43,46,61,32,30,52,76,79,103,135,160,174,180,192,202,209,190,164,164,159,203,197,175,137,106,83,77,58,49,29,51,47,20,38,75,78,103,136,162,176,182,194,202,205,192,170,164,150,181,178,158,123,98,76,78,62,47,27,32,53,25,22,89,90,109,137,159,173,180,191,201,201,193,175,166,152,154,167,145,113,87,70,78,63,42,32,21,41,40,15,118,119,119,119,124,131,135,139,144,155,198,181,169,152,140,153,135,105,76,65,75,52,50,29,19,29,47,17
21,147,149,153,159,163,166,169,172,174,176,178,180,180,181,180,180,181,180,178,178,178,177,175,174,173,173,170,169,148,150,155,160,165,168,171,173,175,177,181,181,182,182,181,182,179,180,183,179,179,178,177,176,174,175,173,171,150,152,156,162,167,170,173,175,177,180,181,183,183,183,184,182,194,172,161,185,180,179,180,178,176,176,175,172,152,154,158,164,168,171,174,177,179,181,183,185,185,185,187,181,213,177,130,188,180,181,180,179,179,178,176,174,153,155,160,166,170,173,176,179,180,182,184,186,187,187,187,181,215,175,126,186,182,182,181,181,175,177,177,176,154,156,161,166,171,174,176,180,181,183,185,187,189,187,188,183,222,175,125,185,184,184,182,203,149,158,183,178,155,158,163,169,173,175,178,181,182,185,187,188,188,188,189,185,228,182,131,184,187,184,189,208,129,157,184,178,156,159,165,171,174,178,181,181,184,187,188,189,189,190,191,187,233,182,138,185,189,182,203,196,125,169,184,180,157,159,166,171,174,179,181,183,187,188,190,191,191,191,191,190,234,176,140,185,190,185,216,179,129,178,183,180,158,160,166,172,175,180,183,186,187,189,190,192,192,191,189,198,243,180,142,183,190,192,227,171,138,186,183,182,159,162,168,173,178,181,184,187,188,190,192,194,191,207,202,184,232,197,147,185,188,209,225,158,150,191,184,184,160,163,169,175,178,183,186,187,190,192,193,192,196,249,220,169,152,185,150,188,190,231,212,142,160,193,186,185,161,164,171,177,180,184,187,189,191,192,198,221,188,217,238,184,120,135,153,189,207,234,190,132,176,192,187,187,162,165,172,178,183,187,190,192,194,189,224,252,199,160,227,183,119,112,150,193,216,217,167,140,192,189,187,187,162,167,173,180,184,187,190,193,196,194,239,255,227,148,184,192,125,104,127,169,194,197,146,162,197,189,189,188,164,168,174,180,186,188,192,194,196,202,236,225,235,143,157,221,167,114,105,133,159,163,137,188,195,191,190,189,165,169,177,182,186,190,193,197,196,209,245,215,222,174,134,223,210,150,104,121,149,132,144,201,194,193,192,190,165,170,178,183,187,191,193,198,194,228,253,212,196,191,124,183,218,183,127,101,130,119,153,203,195,195,194,192,166,170,178,184,188,192,195,200,195,240,240,191,168,152,139,147,210,211,169,110,109,112,166,204,197,196,195,194,167,171,179,186,190,193,196,201,197,244,240,190,160,161,169,172,207,233,201,146,106,112,187,203,198,198,196,195,168,173,180,186,191,194,199,202,200,247,240,190,158,176,182,224,228,233,222,176,122,123,203,201,200,201,198,196,167,172,180,187,191,195,199,202,202,248,240,192,163,187,198,244,236,226,215,193,144,135,209,202,202,201,199,197,166,171,180,185,190,195,199,203,202,248,243,188,176,188,212,252,242,227,197,178,144,138,210,202,202,201,199,198,166,172,180,187,193,195,200,204,203,247,245,187,199,184,229,255,243,221,197,153,123,144,211,203,203,201,201,199,166,173,181,188,193,197,201,206,204,242,242,201,217,184,234,255,240,217,191,145,114,164,214,205,204,202,201,199,167,173,181,186,192,197,201,206,202,234,241,222,222,182,227,255,228,206,173,140,119,190,210,205,205,203,201,199,166,173,181,189,194,198,203,207,206,227,247,234,220,181,217,243,207,184,154,128,136,213,210,209,208,207,205,200,160,165,170,173,176,178,181,185,183,198,246,229,212,177,196,228,190,162,145,125,141,184,179,178,177,176,173,182
21,140,140,140,141,142,142,142,142,141,141,142,138,141,141,138,137,137,135,135,133,132,131,128,125,125,123,119,117,142,143,143,144,146,147,146,146,146,143,153,134,95,144,142,141,140,139,138,137,136,134,132,130,128,127,123,120,145,147,147,149,150,149,149,150,151,148,151,150,83,111,153,146,146,144,142,141,140,137,136,133,135,131,127,126,149,149,151,151,152,152,152,154,154,154,151,152,111,69,154,150,150,149,146,145,143,140,143,122,96,137,131,128,152,153,153,154,155,155,156,157,156,155,155,157,132,48,133,158,151,151,149,149,147,142,149,116,54,132,136,132,155,156,156,157,157,158,158,159,157,157,158,158,150,70,99,165,152,153,151,151,150,145,158,100,59,140,138,134,158,158,160,159,160,161,162,161,160,159,161,162,165,101,73,161,157,156,154,154,151,154,149,79,76,152,138,138,160,161,163,163,163,163,163,163,163,163,164,164,173,117,56,147,163,157,156,157,152,163,141,61,106,153,140,140,163,164,166,166,166,167,165,166,165,166,167,164,179,136,63,125,169,159,159,157,159,161,122,58,136,152,144,142,166,167,168,169,169,170,170,169,169,169,169,165,174,160,91,103,173,160,162,160,162,144,86,71,158,148,148,144,169,171,170,171,171,172,171,170,171,172,171,171,166,164,116,84,167,164,163,165,164,136,49,111,162,151,150,147,171,172,172,171,173,173,172,171,172,173,173,174,147,122,113,71,157,170,164,171,163,113,58,158,158,153,152,149,172,173,174,174,173,173,173,174,173,173,175,171,168,157,135,86,142,181,168,171,147,75,98,171,156,157,154,151,173,175,176,177,176,176,177,177,177,177,180,166,150,181,169,133,93,144,158,144,116,53,143,169,161,158,156,154,177,179,178,179,179,178,178,178,179,179,180,172,124,106,161,136,115,71,104,116,68,67,173,164,163,159,158,156,178,178,178,179,179,180,179,179,180,179,180,174,127,35,42,145,137,54,37,65,38,90,180,164,163,162,159,157,179,179,179,180,180,180,181,182,182,181,183,180,139,97,49,91,121,54,47,36,23,106,182,166,165,164,162,159,180,181,181,182,183,183,181,182,182,184,178,158,159,148,107,50,105,82,59,71,27,118,182,168,168,166,163,161,182,182,182,184,185,186,186,186,186,186,166,165,167,153,135,110,69,96,74,84,21,94,186,169,170,167,165,162,183,185,184,186,187,187,187,187,188,184,167,156,112,121,151,132,92,49,77,62,21,44,182,171,171,168,166,164,183,185,185,185,186,186,186,187,188,184,169,156,109,40,81,130,87,15,43,86,48,8,116,184,169,170,167,163,183,185,185,186,185,186,186,187,188,183,170,151,115,78,25,71,57,24,31,95,82,17,66,184,165,166,169,172,184,186,187,187,188,187,187,188,189,187,163,152,143,96,43,68,94,33,62,115,94,16,88,186,172,175,147,95,182,184,185,187,187,186,187,188,188,186,158,153,153,90,66,96,178,129,110,114,61,10,149,176,138,82,26,2,193,192,193,195,194,193,193,193,194,192,163,159,136,113,63,98,172,159,119,88,47,19,96,51,21,0,1,8,141,146,151,156,160,164,168,172,176,179,160,145,130,106,52,91,152,131,102,76,46,12,5,5,14,0,1,11,66,66,66,67,70,72,71,73,74,69,107,145,133,97,61,89,148,127,88,53,25,5,6,0,11,0,0,15,76,76,76,75,75,79,79,76,80,71,92,150,130,99,74,74,129,110,67,34,6,0,0,0,1,0,0,12
5,160,164,168,171,172,175,177,178,180,183,184,184,185,188,189,191,192,192,195,195,195,197,198,197,197,198,199,199,161,165,168,171,174,177,178,179,182,184,184,185,189,189,190,191,192,195,196,196,198,198,198,198,198,199,200,199,162,166,169,172,175,178,179,180,182,184,187,187,167,189,191,192,194,196,197,197,190,197,198,200,199,199,199,199,162,167,170,173,176,179,177,183,184,185,186,199,143,177,195,193,196,197,195,204,162,179,202,199,200,200,200,200,164,168,171,173,177,180,192,160,180,188,187,204,146,173,198,193,196,196,198,206,146,174,205,199,201,202,202,201,164,168,171,175,179,176,208,168,156,192,189,210,154,174,199,194,197,197,206,177,138,197,202,203,203,203,203,202,166,169,173,176,180,177,195,192,145,190,193,209,160,172,200,195,197,205,203,142,162,209,201,204,205,204,203,203,167,171,174,177,182,181,189,217,162,178,199,196,145,171,202,196,199,204,175,143,201,205,204,205,205,205,204,204,167,172,175,178,182,183,185,229,182,162,202,186,151,169,203,193,193,174,136,176,209,203,204,205,206,206,206,205,168,173,176,179,182,184,182,219,207,155,196,182,164,165,201,187,185,134,154,209,205,206,206,207,208,208,207,207,168,173,177,180,184,185,183,200,227,193,174,171,166,155,181,183,174,137,199,206,205,206,206,208,208,207,208,208,169,174,178,180,183,185,186,188,222,223,185,150,158,140,151,175,151,161,210,205,208,208,208,208,209,209,209,207,169,174,178,181,183,184,187,188,204,232,209,168,141,138,141,146,138,192,209,208,208,206,208,210,210,211,210,210,169,174,178,181,183,184,187,190,191,228,216,178,143,131,134,132,141,208,203,200,197,196,200,202,200,200,204,203,170,175,179,183,184,185,189,191,188,222,220,178,142,127,127,129,141,173,191,192,184,196,210,205,200,199,190,163,171,176,179,182,185,187,189,192,191,231,218,181,147,124,124,128,144,153,173,175,151,153,171,166,168,186,176,143,172,176,179,183,186,187,191,189,199,240,209,176,147,127,124,129,140,144,138,142,152,184,188,188,188,194,165,156,171,175,180,184,186,186,191,186,215,240,200,173,144,126,125,128,130,133,162,188,209,217,214,199,197,166,158,207,171,176,181,184,186,188,191,188,230,230,194,169,139,125,127,130,119,168,216,218,213,203,186,189,181,143,210,215,171,176,180,184,186,189,190,199,241,224,190,157,138,124,125,134,144,164,169,190,190,186,195,192,151,165,220,209,172,177,181,184,186,189,187,215,240,215,181,157,142,123,127,141,158,168,165,161,182,192,187,162,160,205,215,212,172,177,182,184,186,188,189,232,234,206,175,163,145,121,136,162,175,180,172,167,183,166,158,187,216,217,214,214,173,177,182,184,187,185,202,240,229,202,175,166,146,122,144,175,177,179,175,155,145,165,206,219,214,214,214,213,174,178,182,185,187,184,224,237,221,199,176,162,146,124,152,180,170,178,163,136,175,215,215,213,214,214,214,213,174,178,182,186,183,201,239,225,216,196,164,152,138,125,159,175,166,165,151,194,218,213,214,215,214,215,215,213,174,178,182,186,183,224,230,215,207,184,152,146,131,133,157,160,160,151,200,217,212,214,215,214,214,215,215,214,174,178,183,182,205,227,217,209,206,183,142,139,133,139,142,147,164,199,216,212,214,215,214,215,215,215,215,215,174,178,182,184,229,219,212,203,212,178,131,141,143,132,133,172,211,214,213,214,214,214,214,216,216,215,215,215
4,158,158,158,158,158,157,157,156,156,155,155,154,154,153,154,153,149,149,148,147,147,147,146,146,144,142,142,140,159,159,159,159,159,158,158,158,158,159,158,157,155,152,143,144,155,150,149,148,148,147,146,147,145,142,142,141,160,161,160,160,160,160,159,159,157,142,133,143,154,149,121,95,117,158,151,149,153,149,147,146,145,144,142,142,162,162,161,160,160,161,160,161,160,150,142,123,115,120,136,119,88,122,128,106,113,148,149,147,147,146,144,142,162,162,161,161,161,162,161,156,157,152,150,147,124,92,92,124,114,84,81,96,67,113,157,147,147,146,145,144,164,162,162,163,163,162,153,145,144,133,99,100,131,91,60,103,111,85,60,90,80,79,153,148,147,146,145,143,164,163,164,164,163,163,161,162,148,134,101,67,110,94,59,83,97,70,65,100,91,67,141,151,147,147,145,144,164,165,164,165,163,165,145,126,115,141,109,73,93,112,90,81,90,58,73,103,88,67,141,152,147,147,146,145,165,166,165,165,164,167,153,111,68,111,137,100,99,121,132,115,95,91,89,97,106,79,141,152,149,147,146,146,165,166,165,166,165,167,152,114,61,47,134,115,89,102,123,125,95,101,100,96,111,72,110,159,148,148,147,147,166,167,167,167,165,165,134,98,85,77,73,87,73,68,72,104,100,95,94,94,90,76,79,156,150,149,148,148,168,168,168,168,165,163,144,135,115,91,64,59,73,68,66,69,91,96,88,82,91,92,63,139,154,150,148,147,168,168,168,167,168,164,149,137,110,83,64,66,70,73,86,75,62,57,84,106,114,101,64,109,160,149,148,147,168,169,169,168,168,165,156,129,99,76,64,65,73,90,90,89,84,88,105,126,119,105,82,81,158,149,149,147,168,169,170,170,167,167,148,123,100,76,65,72,82,92,101,100,116,137,128,109,137,127,100,66,143,154,150,149,170,170,170,170,168,167,156,138,112,86,71,74,81,102,114,115,126,139,146,134,127,127,101,59,129,157,150,149,170,170,170,171,170,165,156,139,117,90,69,72,89,106,117,129,133,144,142,134,122,103,89,56,135,157,150,149,170,170,170,170,171,163,154,146,127,101,78,74,80,105,124,135,144,149,140,124,113,95,66,72,157,153,151,149,170,170,170,171,171,160,149,150,134,111,92,77,75,109,134,143,152,149,136,117,104,87,50,116,161,151,151,150,170,170,170,171,171,159,145,148,135,115,98,84,78,108,142,146,150,142,126,110,96,73,63,155,155,154,152,151,170,171,171,171,172,159,143,141,134,120,102,89,86,112,147,142,139,132,116,101,89,57,107,165,153,154,152,150,171,171,173,172,173,160,141,140,140,127,105,99,92,116,141,137,132,121,106,93,77,59,149,159,155,153,153,151,171,172,172,172,172,166,144,142,141,130,111,105,92,118,135,133,128,112,94,85,53,97,167,156,157,154,153,152,172,173,172,172,173,173,151,145,147,134,118,105,90,112,132,126,119,101,85,68,57,153,161,158,158,154,154,153,172,173,173,173,173,172,156,154,148,132,122,109,93,101,121,114,103,86,75,47,122,168,158,158,157,156,154,152,173,173,173,173,174,171,162,156,145,134,124,112,98,97,107,102,87,77,50,88,168,160,159,158,157,156,154,153,173,173,173,173,174,171,163,156,142,131,121,111,105,97,97,95,82,63,55,155,164,160,159,158,156,156,155,153,173,173,173,173,175,167,161,152,143,136,131,124,117,103,93,90,76,49,103,171,161,162,159,158,157,156,154,153
11,94,99,102,106,108,111,113,116,117,120,121,122,124,126,128,128,130,131,131,132,134,134,134,135,135,134,134,133,95,99,104,107,109,113,115,117,119,121,123,124,127,129,129,130,131,132,134,135,136,136,137,136,136,136,136,135,96,100,104,108,109,113,116,118,120,121,123,125,128,129,129,131,132,134,135,136,136,137,138,137,137,137,136,137,97,102,105,109,111,113,114,118,121,122,125,126,128,130,130,129,135,135,136,137,137,137,137,138,138,138,138,138,98,103,107,109,112,114,117,120,122,125,127,128,129,131,135,118,99,139,137,138,139,139,139,139,139,139,139,139,99,104,107,111,113,116,118,121,123,126,127,129,131,130,138,125,66,133,140,139,139,141,141,141,140,140,141,139,100,104,108,111,115,117,119,123,125,127,129,130,132,130,147,118,65,134,141,141,141,141,141,141,141,141,140,140,100,105,110,113,115,117,120,123,126,128,130,131,132,132,154,96,74,144,139,141,142,141,142,142,142,142,142,142,100,106,110,114,115,117,121,123,127,129,131,133,132,140,156,85,91,148,141,143,144,143,143,143,143,143,142,142,102,107,110,114,116,118,121,123,127,130,131,132,131,151,130,69,111,147,142,143,144,144,144,144,144,143,143,143,103,107,110,114,117,119,122,124,128,129,128,129,135,157,91,65,132,144,142,143,143,144,144,145,144,143,144,143,103,108,111,115,118,119,123,125,125,125,142,140,95,109,76,80,147,142,143,144,144,145,145,144,145,144,144,143,102,107,112,113,116,122,115,126,145,107,111,129,83,61,62,111,149,142,144,144,144,145,145,144,145,145,144,143,102,107,111,133,153,145,107,74,137,103,65,105,80,52,56,136,144,142,144,145,145,145,146,146,146,145,146,146,103,103,129,139,127,145,107,64,121,83,77,119,72,40,73,149,142,144,145,145,145,147,147,147,147,146,146,146,102,109,132,118,101,134,102,67,116,67,92,111,62,35,95,153,142,145,145,145,145,147,148,148,148,147,146,145,99,122,139,101,76,117,93,63,99,62,102,92,50,34,109,150,142,144,145,145,146,146,147,148,148,148,147,146,99,141,137,105,81,101,63,67,80,55,95,73,43,30,117,150,143,146,147,148,147,150,150,147,148,147,147,147,111,156,128,106,83,82,55,79,57,62,111,52,33,36,95,148,143,140,134,126,121,118,135,152,147,147,147,147,129,157,121,105,85,70,65,95,32,41,86,39,59,77,79,113,127,133,132,124,114,97,84,115,152,148,147,147,132,148,126,111,94,75,73,85,72,87,97,108,113,110,116,124,130,125,111,95,88,95,87,62,136,151,147,147,125,145,130,118,100,84,94,118,133,128,124,125,121,108,112,113,87,84,99,112,132,144,133,114,142,150,148,148,129,153,131,121,102,89,105,132,126,118,124,118,111,86,77,76,103,136,151,154,153,151,152,154,150,149,149,148,144,153,123,113,94,90,105,123,117,115,118,103,77,57,88,132,152,150,148,148,148,149,149,149,150,150,150,149,154,123,107,100,94,96,103,107,112,109,93,60,61,112,147,148,146,147,148,149,150,151,151,150,149,150,150,150,152,117,105,107,104,100,100,93,97,79,49,82,135,148,143,144,148,148,148,149,150,150,150,149,150,151,150,149,146,131,97,117,117,103,95,78,70,54,103,142,140,139,141,143,145,145,145,147,148,148,149,149,147,148,149,154,146,133,92,125,120,97,79,66,47,97,143,134,137,139,141,142,143,145,145,146,147,147,148,148,158,166,167,168
4,183,185,185,185,187,188,190,190,190,190,190,190,190,191,190,191,189,190,191,190,190,190,192,191,190,189,188,189,185,185,187,188,190,190,190,191,191,191,191,191,191,190,191,193,195,193,191,192,194,193,191,192,192,190,190,191,187,188,190,191,191,191,191,191,192,193,193,194,195,196,190,174,165,186,187,164,167,195,196,193,195,193,192,191,189,190,191,192,192,193,193,193,193,193,193,185,180,186,204,196,169,145,151,176,153,133,184,198,195,195,194,194,190,191,192,193,194,195,195,195,196,197,196,194,178,147,150,203,190,148,99,126,162,108,127,207,194,195,196,196,192,193,194,195,195,196,196,194,194,185,197,204,191,154,108,142,194,144,105,80,136,115,111,204,195,197,197,196,193,195,194,196,196,197,196,197,194,151,131,160,195,160,110,78,178,158,120,72,126,137,110,200,200,199,197,198,195,196,197,197,197,196,199,196,197,155,101,89,180,181,125,66,152,197,149,82,120,164,117,199,201,200,199,199,195,197,198,198,199,197,200,175,171,163,130,71,158,203,125,101,162,195,155,101,97,151,138,206,200,200,200,200,196,197,198,199,201,199,201,181,128,163,164,91,117,187,130,94,122,154,149,98,87,110,97,193,205,201,201,202,197,198,199,200,201,200,204,187,156,154,155,108,94,116,114,106,103,117,125,96,103,127,103,137,212,201,204,203,198,199,201,201,201,201,205,200,182,155,125,102,100,110,105,115,118,112,107,98,154,161,150,117,184,210,203,203,200,201,202,202,202,202,208,199,172,154,130,114,116,119,121,134,136,139,148,145,157,180,168,129,126,212,203,205,200,201,202,203,203,203,207,195,162,140,128,117,128,136,152,161,172,187,202,197,174,168,147,119,91,181,212,204,200,201,203,204,204,204,207,199,171,148,134,125,140,142,171,197,183,197,197,193,183,162,136,107,89,147,219,203,201,203,204,206,206,205,206,211,185,159,136,130,139,145,190,197,188,196,195,189,175,159,135,110,88,165,215,205,202,204,205,206,207,206,205,210,194,170,146,130,138,154,193,197,196,202,199,188,177,161,132,104,101,203,210,207,203,204,205,206,207,207,206,209,205,181,156,133,153,155,186,201,206,209,205,194,177,148,126,95,140,220,209,210,204,205,206,206,207,208,207,208,210,190,162,144,164,163,179,203,211,212,215,204,170,139,119,93,182,217,209,210,204,206,207,207,208,210,207,204,208,204,166,151,165,171,185,203,214,217,219,196,159,138,107,110,214,211,212,210,206,206,207,208,210,210,210,201,199,203,176,157,165,169,188,207,210,220,205,174,148,134,95,149,224,211,212,212,207,207,208,208,210,210,213,197,195,203,188,166,161,167,186,205,203,203,183,160,141,123,92,194,218,211,212,212,207,208,208,209,209,209,213,203,190,203,195,179,168,170,182,197,199,182,167,148,127,99,137,223,213,213,213,212,207,207,208,208,209,210,211,212,191,189,191,185,176,173,173,177,180,164,148,126,103,106,207,216,214,215,214,213,205,206,206,207,208,209,209,213,197,185,191,183,176,172,162,161,168,156,133,112,85,161,223,211,214,215,215,213,205,206,206,207,208,210,210,214,198,190,187,176,171,167,153,150,157,146,113,102,93,201,217,213,214,213,214,213,207,207,208,209,210,210,210,213,202,190,178,156,162,161,154,153,148,132,110,95,116,218,214,215,215,213,214,213,207,208,209,210,210,210,211,214,205,191,185,166,178,175,166,157,145,131,117,89,138,222,213,216,215,214,213,214
20,180,185,189,195,199,199,201,204,206,208,210,211,211,211,212,213,213,213,212,212,211,211,211,211,210,209,207,205,183,188,192,197,200,201,204,206,208,210,211,212,214,214,215,213,214,217,216,216,213,213,212,213,213,211,210,207,185,189,194,198,202,203,207,208,211,213,213,215,217,219,214,238,209,194,220,219,218,217,217,217,215,213,213,211,188,191,196,201,204,207,209,211,213,215,217,218,219,220,212,255,203,170,209,190,225,219,220,220,218,217,215,213,191,194,198,203,206,209,213,213,215,217,219,220,221,224,216,255,202,197,230,152,224,222,221,221,220,220,218,216,192,197,200,205,208,211,214,216,217,219,222,222,222,225,219,255,219,200,250,154,217,226,223,223,223,222,220,219,194,198,202,207,210,213,216,219,220,223,223,223,226,227,222,255,220,203,255,169,211,230,227,227,226,224,223,221,196,200,204,208,212,215,219,221,221,224,225,226,224,225,234,255,205,221,255,170,205,236,229,229,228,225,224,223,198,202,206,211,214,217,220,223,225,226,228,227,250,241,214,255,204,232,255,160,204,238,229,230,230,228,227,226,200,205,209,213,217,219,222,225,227,227,226,238,255,255,177,182,187,230,254,159,211,238,233,231,232,230,229,228,202,207,211,214,219,222,225,227,227,232,255,255,201,227,210,166,153,193,223,162,219,240,235,234,234,232,230,229,204,208,213,216,220,225,228,230,225,254,255,255,238,209,241,251,203,142,173,153,224,241,236,235,235,234,231,230,206,210,214,218,222,226,228,232,227,255,237,164,206,143,191,255,219,146,132,137,227,241,238,237,237,237,235,233,207,211,216,219,224,227,229,234,229,255,225,156,145,118,117,228,255,185,127,127,226,244,241,240,239,239,237,235,208,212,217,221,225,228,230,235,231,255,253,218,173,143,139,180,255,226,144,118,229,248,242,241,241,240,239,237,210,213,218,223,226,229,233,236,232,255,255,201,161,152,170,181,255,255,174,114,220,251,243,243,242,242,241,239,211,215,221,225,227,232,235,238,234,255,253,193,170,174,182,225,255,255,199,125,212,253,244,245,244,244,243,240,212,216,221,225,228,232,236,239,237,255,255,214,191,193,203,255,255,249,204,131,211,255,247,248,246,245,244,242,212,218,222,226,230,233,237,242,238,255,255,231,195,211,231,255,255,240,195,135,213,255,248,249,247,247,246,244,213,217,222,226,230,234,238,243,239,255,255,243,210,216,255,255,255,234,190,134,216,255,248,250,249,248,247,246,213,218,223,227,229,234,239,243,238,255,255,245,232,220,255,255,255,228,181,127,211,255,248,249,248,247,247,246,216,221,226,228,231,236,240,245,242,255,255,255,252,234,255,255,247,221,179,117,210,255,249,250,249,248,249,244,217,221,224,228,233,237,240,245,244,254,255,255,255,249,237,255,226,213,168,113,215,255,251,252,252,249,250,254,217,221,226,230,234,236,240,245,246,245,255,255,255,236,216,233,206,212,164,116,234,255,252,254,251,255,250,206,221,224,228,233,236,239,242,247,255,255,255,255,245,206,187,212,203,206,147,132,255,255,253,252,255,235,155,114,208,215,221,225,231,236,242,240,197,166,255,255,217,187,176,217,202,192,114,190,255,255,255,255,232,140,116,108,150,152,155,156,159,161,164,173,100,21,210,255,226,185,185,234,182,158,94,115,192,198,199,202,138,106,104,92,122,127,131,133,130,128,130,146,155,90,145,250,221,187,205,234,150,127,69,37,105,129,131,141,116,88,83,86
1,165,167,170,171,173,174,175,176,177,177,177,178,178,177,177,178,177,179,179,178,177,178,178,178,178,178,177,177,168,170,173,174,175,177,177,178,179,179,179,180,181,182,167,151,179,180,180,180,179,179,180,180,181,180,178,178,171,173,175,177,178,179,179,179,180,181,181,182,174,184,173,110,175,184,181,181,181,181,182,182,183,182,181,180,174,175,177,179,180,181,181,181,183,185,184,195,164,151,175,103,151,164,180,184,185,185,185,185,185,184,183,183,175,177,179,181,182,184,184,184,185,186,185,199,161,144,178,109,120,130,144,189,186,187,186,187,187,186,185,185,177,179,181,183,184,185,186,187,187,187,187,200,164,145,190,132,120,145,114,187,189,188,188,189,188,188,187,187,179,181,183,185,186,187,188,188,189,187,171,200,175,137,193,147,118,153,110,174,191,191,191,190,189,189,189,188,181,183,185,187,187,188,191,191,192,192,141,173,186,130,184,155,126,172,130,154,193,193,193,193,193,192,191,190,183,185,186,188,189,191,192,192,195,195,132,164,186,129,173,163,135,187,154,133,194,195,195,195,194,194,193,192,184,186,188,189,192,193,195,194,198,201,136,166,186,134,176,173,135,173,173,126,183,198,197,196,195,195,194,194,186,188,190,191,193,194,197,196,200,201,139,175,202,147,164,185,134,156,185,134,162,201,198,198,198,197,197,196,187,188,190,192,194,196,198,197,202,194,139,166,203,141,136,180,129,153,195,147,140,201,199,200,199,199,198,197,188,190,192,194,195,197,198,199,204,195,150,136,193,122,125,172,130,142,191,157,126,198,202,201,201,200,200,198,188,191,193,195,196,197,199,199,209,197,145,114,183,169,154,153,167,172,156,141,118,188,204,202,202,201,201,200,190,192,194,196,198,198,200,200,209,190,148,145,149,192,164,167,188,167,141,138,112,163,206,203,203,203,203,201,192,193,195,197,199,199,200,202,207,191,179,169,129,173,182,204,196,179,142,130,116,124,206,206,205,205,204,202,192,194,196,198,199,200,201,203,207,186,171,160,132,172,202,203,181,201,185,147,114,102,194,208,206,206,206,205,191,194,196,199,199,200,201,205,213,182,156,150,168,181,176,161,143,209,217,193,147,97,174,210,207,207,207,206,191,193,195,198,199,199,200,206,222,189,149,147,141,139,134,130,158,199,213,195,163,123,157,212,208,208,207,206,191,193,194,196,198,199,200,206,229,203,149,144,145,144,160,186,212,202,195,180,144,116,141,211,207,207,207,206,192,194,196,197,199,199,200,205,229,218,160,149,163,165,205,221,220,209,190,169,133,93,137,211,208,207,207,207,193,194,197,199,200,200,201,205,228,230,178,160,175,167,207,228,226,213,185,157,125,87,133,211,208,207,207,207,191,193,196,199,200,201,202,203,224,231,193,173,189,166,204,232,231,212,178,147,116,87,149,213,209,209,208,208,193,194,196,199,201,202,202,201,217,229,206,188,198,167,192,232,230,202,170,139,108,91,177,213,210,210,209,209,194,195,197,200,202,203,203,202,209,225,217,201,194,177,174,229,224,194,163,131,100,97,199,213,212,212,209,209,158,162,167,172,174,176,180,183,188,220,226,212,190,176,157,218,214,184,152,121,96,111,207,212,213,213,210,211,97,101,103,104,105,107,110,112,116,202,222,204,183,168,151,194,198,171,140,115,99,109,156,162,165,171,192,213,97,99,100,101,102,102,102,103,99,178,212,193,178,166,152,177,186,165,132,113,103,98,100,102,125,174,195,204
15,118,125,134,142,146,148,152,159,165,169,173,176,180,182,185,187,190,193,195,196,198,200,200,201,201,202,203,203,118,127,135,143,147,149,153,160,166,170,174,177,181,184,187,189,192,194,196,198,200,201,202,202,203,204,205,204,120,129,137,144,148,150,155,162,166,171,175,179,182,186,188,191,194,196,198,199,201,202,203,204,205,206,207,207,122,130,138,145,150,152,157,164,168,173,177,180,183,187,190,192,195,197,200,201,202,204,205,207,207,207,208,209,122,131,140,147,150,154,159,165,171,175,178,182,186,189,192,194,196,198,201,202,204,206,208,209,209,209,210,210,123,132,142,148,152,154,160,166,173,177,181,185,188,190,194,197,198,200,202,204,206,207,209,210,211,211,211,212,125,134,142,170,179,166,165,168,174,178,183,186,190,192,195,199,200,202,204,207,208,209,210,211,212,212,213,214,126,135,143,207,205,183,178,173,179,183,184,183,186,192,197,200,201,204,206,208,209,212,212,213,214,214,215,215,127,136,145,183,193,179,175,169,184,187,185,180,171,176,186,192,197,204,207,209,211,213,215,215,216,217,217,217,128,137,147,157,164,160,156,155,172,177,178,178,173,180,178,180,185,194,200,193,197,206,214,215,217,218,219,219,131,138,149,156,159,159,163,165,171,171,167,166,171,180,177,171,169,181,196,191,181,172,186,215,219,218,220,221,132,140,151,157,159,162,170,176,181,183,180,175,175,173,167,160,159,178,191,199,183,167,159,176,214,221,221,222,132,142,152,158,161,164,171,177,182,187,191,193,196,194,186,176,181,192,188,192,187,174,174,163,167,211,224,224,134,143,153,160,163,165,173,178,183,188,192,195,199,201,204,224,218,199,166,170,199,175,185,181,157,159,212,226,134,144,154,161,164,167,174,180,185,189,193,203,202,181,183,210,215,185,141,146,201,173,188,187,175,145,156,214,135,145,155,162,165,168,175,181,186,191,194,216,198,168,171,215,224,187,152,154,183,181,190,184,172,152,131,146,138,147,156,163,165,168,176,181,187,192,196,209,183,164,175,221,224,183,156,159,161,168,179,168,155,152,139,128,139,148,157,164,165,169,176,183,188,194,198,201,198,174,180,211,204,172,160,167,167,167,174,160,139,145,144,140,138,149,158,165,166,170,177,184,189,194,199,202,238,229,170,145,143,141,157,172,175,179,180,164,146,146,145,141,139,149,159,166,168,171,178,185,190,195,200,202,235,244,187,113,75,62,74,105,156,175,176,163,156,151,137,128,141,150,160,167,169,173,179,185,191,196,201,202,230,243,187,120,90,73,52,45,94,153,156,147,133,116,100,87,142,151,161,166,169,174,180,186,191,196,201,204,225,244,175,125,132,124,98,73,64,100,108,97,81,72,65,57,142,152,161,166,168,174,180,186,192,197,202,206,219,245,182,146,167,155,145,132,93,77,73,71,66,64,62,57,141,152,160,165,167,173,178,185,191,196,201,205,214,247,200,144,182,168,154,121,86,75,73,71,68,65,63,61,141,151,160,165,167,173,179,187,192,197,201,204,208,239,212,140,208,211,165,104,76,71,72,72,69,66,64,63,141,152,161,165,168,174,181,188,193,199,202,207,208,233,199,139,214,227,175,96,73,71,72,72,69,67,67,68,141,152,162,166,169,175,182,189,195,200,203,208,211,218,172,182,223,229,189,101,81,77,73,70,68,68,69,67,141,153,163,168,171,175,182,188,195,200,203,208,212,214,208,219,224,227,219,128,91,82,75,70,69,69,68,65
19,213,214,217,217,216,216,216,215,215,214,215,214,213,212,211,212,210,209,208,207,206,205,205,203,202,201,199,198,215,215,216,216,217,217,217,217,216,216,216,214,214,213,212,212,212,210,208,207,207,206,205,203,204,203,200,198,216,217,216,218,220,220,219,222,222,216,217,217,216,214,213,213,213,212,211,209,209,207,207,206,205,202,200,200,217,218,221,221,220,222,211,193,201,224,216,219,218,215,215,214,213,212,212,209,209,209,208,206,204,203,201,200,219,221,221,223,216,242,233,195,149,192,227,218,220,216,217,216,214,214,212,211,210,210,208,207,205,205,204,202,221,221,221,223,219,230,255,228,177,121,210,224,219,218,216,216,216,215,214,213,211,211,210,207,207,207,204,201,223,224,223,225,223,221,255,242,195,115,146,234,220,218,217,217,217,215,214,213,212,212,212,209,208,206,204,203,225,225,224,225,225,217,250,239,184,125,108,222,222,220,220,217,217,217,213,212,213,212,212,211,209,207,205,203,227,226,227,228,224,248,245,216,182,126,102,215,229,226,223,221,219,220,216,214,216,214,212,212,211,209,206,204,226,227,230,223,255,255,243,210,211,198,175,202,205,213,224,225,222,220,218,216,214,214,213,213,212,210,207,206,230,231,225,240,255,230,188,179,204,239,246,229,208,193,182,199,215,221,222,216,215,216,215,214,213,211,207,206,230,231,228,255,255,235,174,128,144,203,241,251,247,238,204,191,182,198,207,218,221,219,216,215,213,211,210,207,233,226,255,255,255,234,211,174,141,155,187,211,227,237,234,233,226,223,193,177,193,211,223,216,213,212,211,208,232,233,255,255,223,208,200,201,208,191,176,169,168,179,200,218,234,248,237,201,178,153,181,215,218,212,211,208,227,255,255,251,201,173,175,161,207,228,212,196,169,132,132,179,183,203,214,215,205,176,163,185,201,215,212,210,235,255,255,249,214,195,190,185,180,203,227,221,198,157,135,184,225,207,196,186,185,189,197,185,166,221,212,212,255,255,255,238,216,213,218,220,212,162,154,197,197,180,166,138,223,233,229,223,211,198,186,181,201,219,213,213,255,255,254,219,190,204,241,232,237,178,132,165,148,167,172,153,225,229,229,228,229,228,221,220,220,214,215,213,255,255,251,202,173,143,192,231,253,215,188,163,149,132,135,203,233,229,229,227,224,223,222,221,218,215,214,212,255,255,238,204,191,185,172,177,163,224,230,179,172,139,196,237,229,230,229,228,226,223,222,221,220,218,215,212,255,255,233,211,203,202,200,185,165,191,203,197,154,175,240,231,230,231,230,228,226,224,223,222,222,220,217,214,255,255,241,220,215,211,198,180,166,165,153,139,186,233,236,233,233,231,230,229,227,226,225,223,221,220,218,215,255,251,230,214,206,214,204,185,166,172,149,180,243,237,236,233,234,232,230,230,227,227,226,225,223,221,218,214,255,249,226,185,161,163,170,172,168,163,176,237,238,237,237,234,231,231,230,229,229,227,225,224,222,221,218,218,250,228,195,151,128,107,169,199,186,210,241,244,244,243,242,240,236,236,236,236,235,231,225,221,225,230,229,219,225,190,153,141,127,116,204,223,217,217,212,212,211,209,209,208,209,208,210,202,195,208,228,238,236,220,213,203,183,158,142,137,131,128,128,125,121,119,119,121,120,117,116,118,118,116,109,134,186,227,230,217,209,218,222,180,154,142,137,133,136,133,128,128,124,122,123,123,121,120,118,118,117,113,175,243,234,220,207,212,194,220,254,189
8,207,208,208,208,209,207,213,179,149,211,207,207,208,206,205,203,203,203,201,200,198,197,196,195,193,192,191,189,209,209,209,209,209,209,207,155,104,209,209,209,209,210,209,207,206,205,204,203,201,200,199,197,195,194,193,191,211,210,210,211,211,213,196,126,116,221,211,211,211,211,210,210,208,208,207,205,204,203,201,199,198,196,195,194,214,213,213,214,214,209,183,96,156,226,211,213,214,214,213,211,209,210,210,208,206,205,203,202,201,199,199,197,214,215,214,215,216,210,162,81,201,219,214,214,214,215,215,212,213,213,210,209,208,207,206,205,203,201,201,198,216,216,216,217,216,210,158,91,213,219,217,220,222,217,215,214,213,214,213,211,210,209,208,208,207,204,202,200,218,217,217,217,218,208,146,97,220,220,218,193,179,222,220,218,220,215,215,212,208,212,209,209,209,206,204,203,219,219,219,220,220,201,136,90,218,223,205,171,118,152,178,139,187,224,215,217,165,192,215,210,210,208,207,205,221,221,222,221,221,204,176,104,194,223,202,191,156,93,131,125,105,184,148,166,173,136,226,211,211,210,208,207,221,222,222,222,223,208,196,129,170,222,200,208,168,108,104,132,109,166,137,105,175,134,165,228,212,211,209,208,223,223,223,223,224,214,189,154,157,188,194,212,175,114,90,109,143,172,125,88,156,168,104,169,219,213,210,209,224,226,225,223,225,218,200,190,169,168,150,194,177,126,83,83,153,159,110,73,123,186,146,96,171,224,210,209,226,227,225,226,227,218,214,184,156,146,144,160,186,129,74,77,158,144,102,56,120,199,156,83,163,227,211,210,227,228,228,227,228,220,200,157,128,110,111,127,201,164,98,84,160,128,79,39,164,201,128,87,213,217,213,212,228,229,229,228,229,217,204,177,145,105,92,75,184,215,140,89,161,117,55,84,177,178,91,148,231,214,215,214,229,229,228,229,230,211,206,191,148,97,93,87,173,202,141,96,135,123,135,143,181,133,83,210,223,218,216,215,230,229,229,230,229,206,211,192,144,110,90,107,203,157,84,112,143,155,162,124,143,91,113,235,217,220,217,215,230,230,231,231,228,210,212,184,156,117,98,121,182,172,168,193,186,162,151,103,100,60,179,231,220,220,218,216,230,231,231,231,228,212,209,192,158,113,109,162,209,210,222,207,178,158,133,90,54,133,233,222,222,221,220,218,230,229,230,231,228,203,209,200,157,118,132,196,216,216,216,193,168,144,115,56,118,235,226,225,223,222,221,219,229,229,231,232,229,205,202,196,167,128,151,204,211,225,209,178,155,131,72,101,232,226,224,223,222,221,219,217,231,231,231,232,232,211,203,194,169,128,158,199,195,201,183,160,139,88,85,222,228,223,223,223,222,221,219,216,232,232,231,233,232,211,205,198,165,139,157,194,182,178,149,131,91,70,209,234,224,226,224,224,222,222,220,216,231,231,231,232,229,212,201,187,170,156,156,188,175,158,134,87,61,195,239,226,230,228,224,223,221,220,219,221,230,230,230,232,223,209,198,192,188,167,156,178,161,135,100,61,187,239,228,231,229,227,224,224,225,227,231,205,236,238,239,242,214,206,201,201,185,166,167,176,145,105,59,171,249,229,233,231,230,235,236,227,212,194,152,98,159,165,169,172,186,214,211,203,184,167,169,159,123,77,90,218,216,219,219,221,221,197,152,116,86,72,54,55,110,111,113,106,175,221,208,192,176,170,151,138,109,68,86,119,123,128,128,128,113,81,55,54,49,48,55,48
20,157,159,160,160,160,160,160,160,160,160,160,160,159,157,156,156,154,153,152,150,148,146,145,143,141,140,138,137,161,162,162,163,163,163,162,163,163,163,163,163,164,152,146,156,157,156,154,153,151,149,148,145,144,142,141,139,164,166,166,166,166,166,166,166,166,166,166,167,171,148,124,147,156,158,158,156,154,153,151,149,147,145,144,142,169,170,170,170,170,171,170,170,170,170,170,170,173,149,103,111,134,158,161,159,158,156,154,152,150,149,146,144,173,173,174,174,174,175,174,174,174,174,174,174,177,146,94,105,115,149,165,163,161,160,158,156,154,152,150,148,176,176,177,178,178,178,178,178,178,178,178,178,180,142,97,126,117,137,167,167,165,163,162,159,158,156,154,151,179,180,181,181,181,182,181,181,181,182,182,182,184,145,105,140,122,128,168,171,169,167,165,163,161,159,157,156,182,183,184,184,184,185,185,185,185,185,184,187,188,142,107,148,134,126,168,174,173,171,170,167,164,162,160,159,185,186,186,187,187,187,187,187,187,188,187,192,188,133,110,158,141,122,167,177,175,174,173,170,167,165,163,162,188,189,190,190,190,190,190,190,191,189,183,188,186,134,121,167,141,117,167,180,178,177,175,173,171,168,166,161,192,193,193,193,194,193,193,193,193,191,181,173,168,135,122,164,143,118,167,181,180,179,178,175,173,171,169,153,195,195,195,196,196,196,196,196,195,195,194,184,158,132,118,153,148,124,167,184,183,182,180,178,176,174,171,159,198,198,198,199,199,199,199,198,198,191,175,175,164,151,119,130,135,119,164,187,186,184,182,181,178,176,174,165,200,200,199,200,200,201,201,201,201,194,154,132,160,162,113,95,102,104,159,189,188,187,185,183,180,178,175,169,202,201,200,201,201,202,202,203,203,197,148,100,143,161,125,90,82,87,150,191,191,188,187,185,182,179,177,175,203,203,202,202,202,203,203,204,202,195,153,108,120,146,141,113,94,80,139,191,192,190,188,187,184,181,179,178,204,204,204,204,205,205,206,204,199,190,164,131,102,109,135,129,107,78,126,191,195,192,191,188,186,184,181,179,207,207,207,207,207,207,206,202,192,177,168,153,117,98,116,132,119,86,114,187,197,195,193,191,189,186,183,180,208,208,208,208,208,208,206,197,179,146,140,151,131,96,98,128,140,107,101,171,198,196,194,193,190,188,185,183,209,210,210,210,210,210,206,197,179,140,103,117,121,86,85,125,155,131,94,139,195,198,196,194,192,189,187,185,211,211,211,211,212,212,208,196,178,147,105,92,105,88,96,149,173,147,97,118,190,200,198,196,193,191,189,187,212,213,213,213,213,213,209,197,188,166,118,94,110,117,138,180,177,140,92,123,193,201,199,197,195,193,191,189,214,214,214,215,215,216,211,197,191,173,130,107,126,169,189,188,162,124,86,143,199,201,200,198,196,194,192,189,215,215,215,216,216,217,213,195,186,172,140,113,133,188,198,176,142,109,91,165,202,202,201,200,197,195,193,191,215,215,215,215,216,217,214,194,178,166,142,117,133,182,184,159,125,94,103,183,204,202,201,200,198,196,193,187,215,215,215,216,216,217,215,199,177,165,146,126,133,177,175,144,108,82,126,197,204,202,200,198,194,181,160,139,216,216,217,217,217,218,217,207,182,167,150,131,127,163,159,125,89,86,161,204,205,202,196,182,156,115,81,69,216,217,218,218,218,219,219,211,188,170,151,130,119,140,134,101,74,104,187,207,205,194,165,123,86,60,47,49
4,115,116,118,119,119,120,122,125,126,128,128,129,129,131,133,133,134,135,136,137,137,138,137,136,138,138,140,140,114,116,118,119,120,122,123,125,127,128,128,129,131,130,132,134,134,135,136,137,138,138,139,140,140,140,140,141,115,117,119,119,122,123,124,126,127,127,128,130,133,131,129,131,137,135,137,136,138,139,139,141,141,141,141,141,115,117,120,121,122,122,125,126,128,134,130,121,123,144,134,113,108,138,135,140,139,138,140,141,141,141,142,142,116,118,120,123,123,122,123,126,128,136,143,128,88,118,141,107,78,97,116,103,133,141,141,142,142,142,143,143,117,120,121,123,122,124,149,139,121,89,133,128,84,89,131,99,70,75,106,71,95,149,141,142,143,143,143,142,118,120,122,124,119,139,169,148,111,77,114,127,86,73,128,122,67,76,110,81,85,148,141,142,144,144,143,144,118,119,122,125,121,151,142,151,118,82,95,139,98,55,123,134,74,76,128,85,83,152,140,143,145,145,144,145,119,121,123,124,123,158,129,127,137,98,64,138,106,36,89,144,112,90,109,90,90,131,145,143,145,145,145,146,120,121,123,123,128,157,129,113,107,84,46,78,87,37,59,133,119,106,100,104,104,90,142,145,145,146,147,147,120,122,125,122,134,155,134,121,104,88,79,62,84,74,71,109,122,119,108,97,106,102,118,151,145,147,147,148,122,123,126,120,152,154,129,109,103,92,79,82,102,86,95,105,115,109,93,111,134,114,97,149,146,147,148,149,121,123,126,124,161,146,125,105,94,80,76,88,102,95,107,122,107,80,107,148,138,125,91,140,150,148,149,149,122,125,124,131,169,144,126,107,97,84,82,91,98,107,114,128,128,131,129,128,127,120,91,120,154,148,149,148,122,125,123,136,171,146,130,113,95,86,83,93,106,117,120,131,145,143,135,126,112,100,85,94,155,149,149,149,123,126,122,143,174,146,134,119,98,86,88,90,109,123,137,143,145,138,134,122,109,94,76,81,154,150,150,149,125,127,120,147,176,145,137,122,109,97,94,93,116,138,150,149,142,132,128,120,105,90,72,87,156,150,151,150,124,128,120,151,177,152,142,131,121,102,98,111,126,152,155,149,142,130,120,112,98,87,66,121,158,149,152,153,127,129,122,147,178,159,147,138,130,117,107,125,130,147,152,146,140,130,116,102,86,72,79,153,152,151,152,153,127,127,124,140,181,165,153,140,134,125,116,124,134,147,150,142,140,132,115,97,80,62,125,157,150,152,152,152,126,128,127,131,180,168,151,137,131,123,121,125,135,149,149,137,134,132,114,102,72,90,157,151,151,151,152,153,128,128,128,126,178,169,147,141,134,128,129,131,140,145,140,133,125,122,116,99,72,142,155,152,153,152,153,154,127,128,128,127,180,164,146,150,142,137,134,132,138,140,130,125,118,116,111,77,117,158,151,153,153,152,153,154,127,129,127,132,180,155,152,156,147,146,140,132,136,137,128,120,112,104,83,103,156,152,152,153,153,153,154,154,128,129,125,139,180,164,155,152,147,150,144,131,129,131,124,114,104,83,90,156,151,152,152,153,153,154,154,155,127,129,124,145,181,172,152,146,149,153,144,125,123,122,119,107,94,69,136,154,150,152,153,153,154,154,154,155,127,129,123,154,179,172,151,145,150,150,138,123,116,119,114,101,76,90,159,149,151,151,153,153,154,154,154,155,127,130,123,159,180,173,149,143,147,146,134,121,114,122,110,95,67,121,158,151,151,153,154,154,154,154,154,155
5,157,158,158,159,160,162,162,162,163,163,164,164,163,164,165,164,164,164,162,162,161,159,158,158,158,156,154,154,160,160,161,162,164,165,165,165,166,166,167,167,167,165,152,163,166,166,165,165,164,163,161,160,159,158,158,157,165,165,165,166,167,168,169,168,170,171,171,171,171,174,124,149,171,170,169,168,167,166,165,164,163,162,161,159,167,168,169,170,171,171,172,172,174,174,171,150,162,183,125,133,176,173,172,171,171,170,169,168,167,166,164,163,171,172,173,174,175,176,176,177,178,177,179,138,137,186,125,120,179,177,176,174,174,172,172,171,170,169,167,166,174,175,176,176,178,180,180,180,181,180,188,147,125,184,123,118,182,180,179,178,177,175,175,174,174,172,170,169,177,177,179,180,181,181,177,179,183,183,193,152,117,183,130,125,185,183,182,183,181,179,178,177,177,175,173,172,180,181,182,184,184,184,157,153,187,185,195,158,115,179,126,130,188,186,186,185,185,183,181,180,179,178,176,175,183,184,185,186,186,190,161,126,186,187,197,160,109,174,118,134,190,188,187,178,160,177,184,183,181,180,180,179,185,187,187,188,189,194,173,111,184,190,195,157,98,174,133,137,192,188,189,178,141,148,188,186,184,184,183,182,187,188,189,190,192,194,175,109,181,193,193,167,101,159,142,139,192,184,173,160,172,150,166,187,188,186,185,183,189,190,191,192,194,195,190,120,167,195,191,176,102,134,145,145,190,186,149,101,160,155,135,186,190,188,186,186,192,192,193,195,195,197,197,146,147,193,191,179,105,124,143,145,183,182,144,139,172,137,152,193,192,190,188,187,193,194,195,195,197,196,192,188,160,168,181,169,126,135,133,127,162,164,142,182,171,120,182,194,193,192,190,189,194,196,197,198,199,199,189,199,184,157,154,150,130,131,126,126,161,158,152,190,151,114,194,196,195,194,193,193,197,199,199,200,200,201,197,200,205,172,146,140,120,122,123,127,157,156,166,195,129,117,199,198,197,196,195,194,198,199,200,202,202,202,203,203,220,189,138,125,110,109,119,132,155,151,169,197,127,136,203,199,198,198,197,195,199,200,201,202,202,203,203,206,223,196,139,106,104,104,118,145,161,146,162,195,133,148,204,200,200,200,199,196,200,201,202,203,204,204,204,206,221,194,144,105,103,106,135,155,176,177,159,184,134,152,205,202,201,201,200,198,201,202,203,205,206,206,206,204,218,191,148,108,100,116,149,169,189,192,163,155,113,147,208,204,202,201,200,200,202,203,204,206,207,207,208,203,216,194,153,110,101,125,163,186,190,187,160,118,85,139,209,206,204,203,201,201,203,205,206,207,208,209,210,203,213,195,154,113,103,126,174,197,193,175,138,92,77,166,209,207,207,205,202,202,204,207,207,208,209,210,211,204,204,193,153,117,109,125,183,199,183,156,118,78,126,205,209,208,208,206,203,202,206,207,207,208,209,211,211,200,193,189,153,126,115,125,178,185,167,138,98,95,192,213,209,209,208,207,204,203,205,206,207,208,209,211,213,201,188,182,148,135,117,124,164,171,155,118,80,150,214,213,211,210,209,208,206,204,204,205,206,208,208,209,211,203,185,175,149,136,113,119,153,156,131,87,109,203,214,213,210,210,209,208,207,205,204,205,207,208,208,210,212,202,189,176,149,134,115,106,135,123,93,92,183,213,212,212,210,210,209,208,207,205,205,207,208,208,209,210,212,199,192,170,135,126,113,99,115,93,76,157,214,213,213,212,211,211,209,208,206,205
23,141,143,145,150,152,156,159,160,162,163,165,166,167,168,169,169,169,169,168,167,168,167,166,166,166,166,164,162,141,143,146,150,153,156,159,161,163,164,166,168,168,169,170,170,170,170,170,169,169,168,167,167,167,167,166,164,142,144,147,150,154,158,160,162,164,165,167,169,169,171,171,171,171,171,171,171,171,170,169,169,168,167,167,166,144,145,149,153,156,159,161,163,164,166,169,169,170,169,165,169,173,173,173,173,173,172,171,170,169,169,168,168,145,145,150,154,158,160,163,165,166,166,169,176,185,179,151,134,161,170,175,174,173,173,172,171,170,169,169,168,145,146,152,155,158,161,164,166,166,174,190,187,184,171,156,145,144,133,172,175,174,174,173,173,172,170,170,169,146,148,151,155,158,162,164,167,168,186,185,154,147,127,131,139,125,132,173,175,175,175,175,174,173,172,171,171,147,148,152,156,160,164,166,169,170,186,169,138,96,129,167,169,164,173,177,176,176,176,175,175,174,174,173,171,147,149,153,157,161,165,168,170,170,189,171,149,90,144,180,178,180,180,180,179,179,178,176,175,176,175,174,172,148,150,154,159,163,165,168,171,171,191,175,157,114,159,178,141,169,181,180,180,179,179,178,177,177,176,175,174,149,152,155,158,163,166,168,172,173,196,186,189,193,197,177,105,136,185,182,180,180,181,180,179,178,177,177,176,150,153,157,160,164,167,169,171,178,203,209,210,196,183,141,100,123,181,184,182,182,182,181,180,180,179,178,178,150,153,158,161,165,168,172,184,196,204,208,202,192,172,108,117,138,125,160,176,182,184,183,183,181,180,180,179,151,154,158,162,166,169,196,203,200,204,207,201,186,151,94,109,133,89,89,114,145,184,184,183,182,182,181,180,152,155,159,164,167,173,204,195,189,194,194,183,177,132,86,82,109,92,85,96,102,173,187,185,184,184,182,181,152,155,160,166,167,176,203,193,198,206,200,190,169,124,90,74,80,92,92,100,104,168,188,186,186,185,184,183,151,155,160,166,168,171,211,211,209,200,180,162,140,109,95,82,56,73,93,101,108,171,189,187,187,186,185,184,153,156,161,166,169,170,212,209,187,154,124,111,101,104,102,74,43,69,96,106,113,176,190,188,188,188,186,186,154,157,161,166,169,169,202,191,164,125,99,70,81,109,99,65,62,80,97,106,113,179,191,190,189,189,188,187,153,157,162,167,170,168,193,188,153,110,85,61,89,86,67,64,79,91,94,105,123,186,191,191,191,190,189,188,155,158,163,168,172,165,190,186,148,116,95,73,58,51,65,79,93,100,98,109,159,193,192,192,192,192,189,188,154,158,163,168,172,164,187,186,154,124,101,91,68,63,88,103,108,110,104,135,191,194,194,193,193,192,190,189,154,158,164,168,173,161,185,189,159,129,108,102,87,78,102,113,115,112,108,157,198,196,196,195,194,194,192,191,155,159,165,169,174,162,180,187,157,133,113,106,94,84,104,113,114,110,115,177,197,196,196,196,195,194,193,193,156,159,165,170,174,165,176,183,154,133,114,107,98,90,103,110,113,110,141,195,198,196,197,197,196,194,193,193,155,159,165,170,175,170,175,178,152,131,113,104,101,99,106,110,112,131,183,199,199,198,197,197,197,196,194,193,155,160,166,171,175,172,175,174,145,124,109,105,105,104,104,110,131,183,200,200,200,200,199,198,197,196,195,194,156,159,165,170,175,172,178,177,143,121,109,107,107,107,106,110,167,199,199,200,200,200,199,199,197,196,195,194
23,81,83,87,96,106,116,123,126,129,134,140,144,147,150,151,154,157,159,161,161,160,161,161,162,163,162,161,161,81,84,88,98,108,117,124,128,130,136,141,145,149,151,152,155,159,160,161,163,163,163,163,163,164,163,162,162,81,84,89,99,109,118,125,129,131,137,142,147,150,152,155,157,160,162,163,164,165,165,165,165,165,165,164,163,82,84,89,100,110,119,127,130,132,138,144,149,152,154,157,159,161,163,165,165,166,165,166,166,166,166,166,165,83,86,89,100,111,121,128,131,135,140,145,150,152,155,158,160,162,165,165,166,167,166,166,166,166,167,166,164,83,86,91,101,112,122,128,132,136,141,146,151,154,157,159,161,164,165,166,167,169,168,168,167,167,167,166,166,82,85,91,102,113,123,130,132,136,143,148,152,155,158,161,163,165,166,168,169,169,171,168,169,170,168,166,167,83,86,92,103,114,124,130,134,137,144,150,154,157,160,163,165,166,168,169,172,192,195,178,168,162,167,168,167,83,86,93,104,114,124,131,135,138,145,151,156,158,161,164,167,168,170,179,205,213,183,177,157,120,161,171,170,83,86,93,105,116,126,133,136,140,147,153,157,160,164,166,168,169,183,222,197,164,121,139,144,146,170,172,172,84,86,94,106,117,127,134,137,141,148,154,158,161,164,166,169,171,211,233,145,107,142,170,173,175,174,173,173,83,86,94,107,118,129,135,138,142,149,155,159,163,166,169,171,178,229,230,175,174,163,164,178,177,176,175,174,83,86,94,107,119,129,136,139,144,150,156,161,165,167,171,175,197,233,234,228,211,145,134,180,178,178,177,176,83,87,95,107,119,130,137,140,145,151,157,163,166,180,196,207,222,191,206,199,181,125,105,158,176,180,179,178,84,87,96,109,121,132,139,142,147,152,159,163,183,207,206,213,223,194,215,214,184,120,90,133,157,183,181,180,84,87,97,110,122,133,140,144,149,155,160,177,209,199,192,195,194,177,195,201,168,110,78,102,121,180,183,182,84,87,96,110,123,134,141,144,149,156,162,214,232,213,200,200,192,180,176,148,127,105,75,98,94,137,182,184,84,87,97,110,123,134,142,144,150,157,167,229,236,212,180,178,187,185,173,129,107,108,68,96,100,105,167,186,84,86,97,111,123,135,142,145,150,157,169,228,231,197,153,127,135,156,155,116,110,105,64,94,104,117,176,186,84,87,98,112,124,136,142,144,150,157,172,233,231,172,121,96,82,156,150,109,111,88,78,103,108,146,188,188,83,86,99,112,124,136,143,146,153,158,176,238,221,166,119,86,90,149,131,104,92,67,89,111,123,180,191,191,83,86,99,112,125,137,143,146,153,158,183,239,213,162,123,91,81,93,93,78,72,77,91,108,150,193,192,192,81,84,98,112,124,136,142,145,152,157,190,237,207,161,123,88,62,66,72,82,95,97,97,112,175,193,192,192,80,83,96,111,124,136,143,146,153,159,198,234,202,161,124,97,76,85,98,105,111,104,101,144,192,194,193,193,79,83,95,110,124,137,144,146,154,159,197,225,194,158,127,103,88,92,109,115,114,103,120,187,196,195,195,194,77,81,94,110,124,136,144,147,153,160,198,216,186,159,133,110,98,95,112,118,115,104,154,198,196,196,195,194,74,78,92,108,123,135,142,146,153,160,205,210,189,173,146,120,105,97,111,115,111,126,187,198,197,196,195,195,76,80,92,106,120,133,140,144,152,162,216,216,200,185,158,126,109,101,109,110,116,171,197,196,195,194,195,194
2,211,212,213,213,212,213,213,213,212,212,211,205,213,208,209,209,207,206,205,203,202,202,200,198,197,196,193,191,214,215,215,215,215,215,215,214,214,214,209,225,230,157,182,216,211,211,209,206,207,206,204,202,200,198,196,194,218,218,219,220,220,219,217,218,214,213,245,238,172,121,124,193,201,155,203,214,209,208,207,206,205,202,199,198,220,221,220,221,222,221,222,218,223,255,248,160,123,113,124,157,164,114,175,214,209,209,208,208,206,205,201,200,221,223,221,222,223,222,220,234,255,255,188,126,120,112,102,114,117,112,105,174,222,210,212,209,208,207,205,203,223,224,223,224,224,225,218,255,255,185,134,111,113,117,110,85,106,122,109,110,173,223,213,212,209,208,206,205,224,225,226,228,228,222,237,255,217,132,105,88,92,103,104,105,107,108,106,94,169,223,212,214,212,210,209,207,227,229,228,230,230,227,255,255,177,129,110,99,84,107,130,137,111,127,142,180,220,216,216,215,214,214,212,209,230,231,231,232,225,255,255,200,139,111,116,113,103,123,119,124,185,217,224,227,222,220,217,217,216,215,213,211,231,232,233,228,246,255,253,177,127,101,112,108,119,110,146,214,232,229,226,224,224,223,221,219,218,218,214,213,233,234,232,233,255,255,233,170,137,124,106,111,123,158,244,232,229,230,230,229,226,225,223,222,221,218,216,215,235,237,232,248,255,255,206,157,134,134,119,115,118,191,244,230,232,232,232,230,228,227,224,224,223,221,219,218,238,240,234,255,255,252,188,144,132,131,128,113,135,235,238,235,231,233,232,231,230,229,227,225,224,224,221,220,241,236,249,255,255,233,175,143,128,127,128,118,193,249,236,237,235,233,234,233,232,230,229,228,226,224,224,223,242,238,255,255,255,209,158,138,133,125,124,127,232,243,240,240,238,236,235,234,233,232,230,230,229,226,224,224,240,252,255,255,248,192,148,135,132,132,118,155,253,239,242,241,240,239,238,236,234,234,235,234,229,228,226,225,240,255,255,255,228,172,138,133,129,130,99,185,255,241,244,243,242,239,239,239,239,234,229,223,231,233,228,227,254,255,255,255,201,153,137,128,120,115,99,140,250,250,241,244,242,242,241,241,226,205,199,186,158,225,232,230,255,255,255,234,186,157,142,122,108,109,116,107,152,241,254,248,248,247,244,213,205,198,178,141,157,230,234,231,255,255,255,219,190,163,141,112,102,116,115,126,129,142,196,230,217,206,208,199,212,177,148,198,239,237,233,231,255,255,255,221,185,159,132,110,112,131,136,153,163,148,140,173,183,198,207,211,197,145,217,250,238,237,236,235,208,219,230,207,180,150,127,116,124,143,160,165,174,174,164,192,196,202,196,174,141,183,251,239,240,239,237,236,83,83,73,75,93,89,91,105,132,151,162,170,177,180,165,184,169,162,170,187,212,245,245,244,243,241,238,236,92,80,56,51,61,55,45,51,88,147,160,167,173,166,138,146,182,222,243,255,254,246,246,245,243,242,241,239,86,73,55,58,65,54,47,41,35,75,154,160,148,145,186,232,255,255,253,250,251,251,248,246,246,245,243,241,79,69,58,59,58,50,43,37,40,33,88,147,179,239,255,255,254,253,254,253,250,250,249,247,246,246,244,243,73,68,58,60,56,47,39,36,42,31,78,244,255,255,254,255,255,255,255,255,254,251,251,249,248,247,245,243,73,65,57,58,54,45,38,37,45,27,192,255,253,255,255,255,255,255,255,255,255,253,253,254,250,248,247,245
4,178,178,179,180,179,179,179,178,178,179,178,180,179,179,180,180,180,179,179,179,179,179,178,178,178,177,175,174,180,180,180,180,179,179,181,181,179,180,180,179,179,183,180,181,182,181,180,180,180,180,177,179,179,177,176,177,182,180,181,181,181,181,181,181,182,182,181,179,178,182,186,182,183,185,188,183,180,180,181,180,180,178,178,178,181,182,182,181,184,182,182,183,183,182,181,197,181,150,157,183,168,142,165,190,186,183,179,180,180,180,180,180,181,181,183,184,185,185,183,181,185,180,171,184,214,176,120,172,189,137,95,164,157,171,187,180,181,181,181,181,184,184,184,185,186,185,185,181,196,205,188,129,179,206,122,165,204,153,98,162,141,93,161,192,182,183,183,181,186,186,186,185,185,186,185,187,194,199,193,138,148,200,109,149,215,147,122,191,156,95,90,190,184,184,184,184,185,186,187,187,186,188,182,199,188,177,199,124,126,192,121,113,194,117,111,191,166,104,83,190,185,186,184,185,185,186,187,188,187,185,186,205,165,132,188,138,106,188,168,141,154,141,166,202,184,111,110,199,184,187,185,186,185,186,187,189,189,185,196,198,165,124,157,141,91,134,161,171,162,180,189,188,164,130,106,191,188,187,187,186,186,186,187,189,188,190,202,189,178,145,118,93,80,106,102,143,150,159,167,165,141,158,86,155,198,186,188,188,187,187,187,189,189,196,198,169,145,133,113,85,81,119,78,96,119,118,141,127,147,166,102,114,202,185,189,189,187,188,188,190,189,199,199,164,127,106,103,92,94,119,99,129,134,118,85,128,195,174,134,84,182,193,189,192,187,187,188,190,188,205,213,180,142,105,84,83,105,105,122,162,166,132,120,155,198,186,167,91,133,204,188,193,187,187,187,190,188,207,214,189,148,105,86,83,111,115,160,165,165,159,189,188,176,197,166,101,96,201,191,192,187,186,187,188,187,210,213,199,154,102,97,88,98,126,158,160,180,194,187,190,178,167,145,109,83,186,193,192,187,186,188,188,188,213,209,205,157,106,116,109,99,135,155,181,191,189,185,177,166,135,118,103,87,185,192,191,186,186,188,190,193,210,207,194,154,138,132,111,144,176,189,201,194,186,174,163,146,121,96,75,151,197,190,191,187,187,189,189,192,211,208,196,172,157,139,111,165,200,196,202,194,178,164,149,131,108,73,121,198,191,193,192,187,187,189,189,186,211,206,203,189,160,154,129,155,202,196,198,186,160,151,138,119,87,90,190,195,194,193,192,186,187,188,191,180,201,206,209,196,172,159,145,154,199,195,188,172,149,137,121,104,75,158,200,193,194,193,192,191,191,192,196,187,191,207,198,182,172,159,148,157,187,184,172,158,138,126,110,76,113,203,195,195,195,196,195,127,130,132,139,130,174,217,192,174,170,166,152,159,173,171,155,139,124,118,97,77,175,200,197,199,198,193,190,82,84,84,89,69,154,215,188,181,181,171,155,160,171,166,152,125,111,106,83,89,118,117,117,114,118,143,179,93,93,92,97,79,156,215,190,186,185,172,155,160,174,173,150,108,98,90,80,88,78,75,88,138,158,171,186,92,92,91,96,77,154,221,193,187,186,184,159,151,172,167,129,95,90,82,89,92,107,168,191,186,209,195,165,93,94,93,97,80,152,221,193,187,194,197,161,138,166,151,109,90,78,75,128,171,191,208,193,149,153,190,186,91,93,92,96,82,154,213,185,181,193,197,159,134,161,142,101,81,73,147,207,210,192,175,161,148,124,147,178
15,21,54,62,76,85,93,101,110,121,125,129,133,137,140,143,145,148,150,152,154,156,158,159,160,162,164,165,167,23,56,63,77,86,94,102,111,122,125,130,135,138,141,144,146,150,151,153,155,158,159,159,161,163,166,167,168,27,58,67,79,87,95,101,113,123,126,131,135,139,141,145,148,150,152,154,157,158,159,160,164,164,167,168,169,32,60,68,81,89,94,102,114,124,126,130,135,139,142,146,149,150,151,154,157,158,159,163,164,165,167,168,169,39,61,69,80,88,114,111,112,122,128,132,136,138,143,146,149,151,152,155,157,159,162,164,165,167,168,168,170,43,62,72,81,94,155,126,108,103,116,131,138,140,144,147,150,151,153,156,157,159,162,163,165,167,168,169,171,49,62,73,83,93,132,132,120,109,99,105,123,139,146,148,150,152,155,157,158,160,164,165,167,167,167,168,171,53,62,73,84,92,101,115,115,113,107,110,109,109,121,144,152,152,155,157,159,160,163,165,167,167,168,170,172,55,63,74,83,92,100,107,114,104,109,115,120,116,106,101,127,150,156,158,159,160,163,166,168,168,169,172,174,57,65,76,85,93,101,108,119,119,119,118,118,117,114,104,102,106,133,156,161,162,165,166,167,169,170,173,175,60,67,78,86,93,101,108,119,125,129,131,119,106,110,117,117,108,100,108,136,159,166,166,167,168,171,173,175,60,68,78,87,94,102,111,122,125,130,136,136,126,115,103,102,106,102,101,108,109,137,166,168,170,172,173,175,60,68,79,88,95,102,113,123,125,131,145,115,101,119,115,87,82,94,113,118,119,99,121,169,170,173,174,175,61,69,80,89,95,102,112,123,125,139,144,118,92,90,111,113,105,113,117,125,130,111,85,130,177,174,175,176,62,69,81,89,96,103,114,123,125,134,124,111,109,113,121,103,109,116,107,120,128,118,108,89,161,175,175,177,64,71,81,90,97,103,114,122,126,130,135,114,123,144,133,108,86,84,73,110,132,119,126,98,110,178,175,175,64,73,82,89,96,103,114,122,126,128,157,128,116,139,130,114,107,97,81,93,101,112,120,107,78,152,178,176,65,73,82,89,97,103,113,123,124,139,151,112,82,88,115,126,126,121,108,95,91,90,98,103,88,101,179,177,64,74,82,89,97,103,115,123,123,149,128,88,75,39,46,92,133,138,131,121,114,91,78,89,90,73,154,180,65,75,83,90,97,105,117,121,129,156,108,70,66,47,36,28,73,138,144,138,128,99,78,84,86,74,105,183,66,75,84,91,99,105,118,119,138,141,85,71,99,86,68,41,19,98,146,141,129,107,93,87,86,81,74,156,66,75,83,90,100,107,118,127,142,104,68,118,129,106,101,83,35,57,146,141,131,121,113,100,90,85,76,101,67,77,84,92,100,106,117,131,109,80,94,149,140,113,112,107,87,66,138,145,140,133,126,113,97,89,84,77,69,78,85,92,98,107,119,123,110,112,133,136,134,123,104,104,101,94,120,143,145,140,131,118,107,96,90,85,69,78,84,92,98,108,118,122,128,134,138,141,135,116,92,89,85,108,112,126,139,137,130,120,110,101,95,90,69,77,84,92,98,109,119,122,127,133,136,140,145,147,139,127,112,111,121,103,121,126,125,120,113,105,94,92,69,77,83,90,96,108,118,122,126,133,136,140,145,148,152,154,153,155,141,123,115,128,124,120,116,109,98,94,69,77,82,88,95,106,117,120,125,132,136,140,145,149,151,153,157,166,167,156,143,142,126,114,113,114,109,101
5,171,173,174,178,179,180,179,179,181,176,194,139,149,183,176,177,176,173,175,176,171,172,170,168,172,97,42,49,173,175,176,179,180,180,182,182,182,178,210,116,114,189,177,178,177,180,169,159,176,171,172,179,139,42,56,72,175,177,179,180,182,183,184,184,187,185,209,106,134,191,179,180,176,190,141,98,183,173,174,172,80,38,60,81,176,180,181,182,184,185,187,185,168,199,191,95,163,190,181,181,181,169,98,112,185,173,181,145,51,47,58,73,177,180,183,184,186,188,191,202,98,192,173,93,181,188,184,186,163,126,84,169,182,175,185,115,44,61,76,85,179,181,184,186,188,192,188,210,103,164,170,100,191,187,190,172,134,85,139,189,179,178,185,129,57,72,75,82,181,184,186,187,190,192,189,218,133,136,151,110,196,192,168,139,104,109,193,183,182,179,186,151,68,76,73,65,182,185,187,189,193,194,193,207,145,121,119,130,205,166,122,111,88,172,192,185,184,182,183,171,76,61,55,57,185,187,190,191,194,195,193,211,163,109,94,151,193,120,99,81,149,195,186,187,186,184,183,190,107,33,41,61,186,188,192,192,194,197,194,217,187,115,104,139,155,103,85,116,202,189,190,188,188,187,185,193,136,45,46,43,188,190,192,194,198,198,197,212,185,114,107,114,121,103,83,156,201,193,190,189,190,188,186,191,165,127,126,85,189,192,193,197,199,198,199,202,181,116,91,90,95,94,93,190,201,185,191,195,192,191,188,190,175,97,164,164,192,194,196,198,199,201,200,202,190,139,98,89,79,75,130,199,146,115,127,185,199,192,189,191,169,114,179,133,192,195,197,200,201,203,202,200,200,160,101,81,80,73,108,116,100,121,123,132,163,190,192,195,191,156,107,115,193,195,197,200,202,203,204,201,210,182,127,86,79,82,77,88,106,99,131,155,143,157,166,163,173,192,129,154,194,197,199,200,202,204,205,205,218,205,165,106,80,81,90,79,71,80,121,120,142,154,147,110,111,175,177,169,194,198,201,202,206,206,207,206,218,217,182,117,82,75,85,71,116,180,194,160,148,126,144,144,126,91,176,179,196,199,201,203,206,207,207,207,223,228,184,121,87,76,62,124,224,201,205,202,158,156,164,139,111,127,186,119,196,199,202,205,207,208,209,207,228,233,189,128,91,71,52,98,163,213,193,137,137,160,130,102,169,197,197,150,197,199,202,205,208,209,210,209,227,236,192,134,96,63,63,74,80,160,122,129,150,119,79,168,204,191,192,188,198,200,203,206,208,210,209,213,230,232,188,134,98,63,64,81,88,73,99,136,116,89,158,202,194,194,193,191,198,201,203,207,208,211,208,214,235,228,183,134,98,65,67,85,91,94,104,111,97,179,208,196,196,196,193,192,199,200,202,205,207,209,207,212,234,223,174,130,98,68,71,94,96,99,91,84,176,208,198,199,195,194,193,190,199,202,203,206,208,209,208,216,228,211,165,131,98,65,75,99,102,97,80,164,209,198,201,199,196,193,193,192,200,202,204,207,208,209,203,223,228,203,166,136,95,64,70,98,105,84,116,216,199,201,201,201,197,194,195,193,200,201,203,206,210,202,207,234,227,198,167,136,95,71,72,99,102,72,168,209,200,202,201,200,197,195,195,193,200,202,205,207,209,195,228,237,219,191,170,134,90,73,83,103,76,111,211,202,202,202,201,199,197,196,195,192,200,202,206,211,197,201,239,229,205,186,169,127,85,74,86,86,82,192,208,204,202,201,201,200,199,197,197,184
8,200,205,208,211,214,211,215,216,216,215,216,216,217,215,214,214,211,211,209,209,207,206,205,204,202,202,201,198,204,206,211,205,191,218,216,217,216,216,216,218,218,216,216,215,215,213,211,209,209,209,208,206,205,203,202,200,207,205,221,206,129,206,222,219,217,218,218,219,220,219,218,217,215,214,215,213,212,211,211,208,208,206,204,203,208,208,225,223,116,176,230,221,222,221,220,221,220,220,219,218,217,216,216,215,213,213,212,209,208,207,205,205,208,211,220,240,122,156,235,221,225,222,221,221,222,221,221,218,217,218,218,216,215,213,213,212,210,209,208,208,210,215,218,231,129,139,238,224,228,228,230,223,225,229,226,221,219,221,219,217,217,214,216,214,213,212,210,208,213,218,218,239,177,124,231,229,225,208,208,231,221,197,211,230,228,224,220,221,218,217,217,217,216,215,213,209,215,218,215,243,200,106,213,232,247,218,156,199,244,168,133,212,205,221,227,219,222,220,218,219,218,215,213,211,216,221,219,237,209,131,170,240,255,255,191,127,237,194,187,134,134,136,220,228,222,224,220,221,220,216,214,212,220,223,222,234,244,177,152,225,255,255,226,118,181,202,209,187,167,145,161,221,225,224,223,224,221,218,215,215,222,224,224,228,249,173,167,211,216,255,232,131,134,189,160,224,227,230,184,123,221,225,223,223,222,220,216,215,222,225,228,229,245,222,193,230,213,218,235,131,102,162,95,187,211,229,197,103,205,232,223,224,224,223,220,217,223,227,231,229,255,255,181,183,209,183,233,176,98,131,95,137,207,237,201,105,203,234,224,225,226,225,222,219,225,228,232,229,255,224,156,155,168,146,206,231,124,100,84,151,235,252,207,105,204,236,225,228,227,227,225,221,227,231,233,229,255,253,195,154,143,135,157,175,131,111,77,169,242,253,203,105,206,238,228,230,230,228,226,222,227,231,235,230,255,255,214,165,138,138,132,195,194,135,161,217,235,239,180,93,190,243,230,231,230,229,226,223,227,232,235,232,255,255,221,187,141,118,152,222,221,225,237,226,204,192,146,85,176,246,231,231,231,231,228,224,226,231,236,235,255,255,227,204,170,122,144,212,255,255,249,217,175,145,119,85,215,240,234,232,231,230,228,224,229,233,236,237,255,255,233,208,186,143,141,226,255,255,241,206,154,119,80,138,249,234,235,234,232,230,227,226,232,234,239,238,255,255,243,218,201,159,158,245,255,249,211,180,132,92,83,227,241,237,237,235,234,233,230,228,233,235,242,239,255,255,248,225,214,171,165,252,249,218,182,148,116,67,164,254,236,239,239,235,236,235,232,230,232,235,240,240,254,255,254,230,210,169,170,236,231,202,169,131,93,92,239,241,240,239,237,236,236,234,233,230,231,234,237,238,254,255,251,224,192,148,177,216,193,183,161,122,65,182,253,236,239,239,237,234,234,233,232,229,233,237,242,234,255,255,239,212,175,160,183,198,168,157,153,83,111,250,239,240,241,240,237,235,235,232,230,228,233,237,242,232,255,255,240,217,188,181,188,181,157,147,119,84,221,248,241,241,240,240,237,237,232,231,240,236,233,236,235,245,255,255,243,222,192,195,184,154,146,128,78,176,254,241,242,241,239,239,237,241,245,241,191,120,233,239,227,255,255,232,222,206,188,189,170,133,131,91,119,248,244,244,242,242,245,247,244,218,169,105,47,29,234,238,222,255,255,214,188,177,174,189,162,111,125,72,196,254,244,245,242,231,210,188,138,74,29,12,19,26
12,197,197,199,200,200,203,203,203,202,202,202,202,202,201,200,199,200,200,198,198,198,197,197,197,195,194,194,194,197,198,199,200,202,203,204,203,204,204,204,204,203,202,203,204,203,200,201,200,198,198,198,197,196,195,196,195,199,199,199,202,204,203,204,204,205,205,205,206,204,203,194,181,195,203,195,197,207,201,198,197,197,197,197,197,199,199,201,203,204,205,205,205,205,206,205,206,204,201,175,142,119,187,170,139,145,197,204,199,196,198,198,198,200,200,203,204,204,205,205,206,207,207,204,205,207,183,157,132,118,173,152,133,81,150,194,195,204,198,198,198,200,202,203,204,206,205,206,207,206,206,198,166,189,185,172,111,150,189,157,129,118,166,150,117,160,206,198,198,202,203,203,205,207,207,206,207,207,212,200,154,175,215,174,107,182,201,159,133,145,155,138,108,87,163,207,198,203,203,204,206,207,208,208,206,215,223,203,163,160,205,149,104,203,201,144,136,183,167,138,113,92,106,205,199,203,205,205,206,207,209,210,206,220,211,197,161,119,124,126,87,142,159,101,149,212,167,153,108,80,100,201,200,204,205,206,206,209,210,208,213,229,208,177,145,121,72,64,108,147,164,142,181,212,163,126,87,78,105,204,199,205,206,206,208,209,209,211,223,208,200,159,133,116,66,122,199,204,194,183,195,160,122,104,103,85,107,209,201,205,206,208,209,210,207,222,225,196,168,158,172,112,143,213,205,194,187,172,181,181,135,136,132,97,133,212,201,206,207,209,209,210,210,232,221,200,180,158,177,168,222,213,198,191,195,178,178,177,145,119,122,89,176,210,202,206,209,209,210,211,214,233,224,210,207,182,183,204,209,213,195,198,189,169,179,162,130,107,97,90,200,205,203,207,209,211,211,211,216,232,228,217,206,197,187,198,199,203,195,195,181,176,173,146,115,101,81,113,214,202,204,208,210,212,212,212,216,231,229,217,201,187,186,189,196,201,194,191,178,173,152,125,102,97,72,142,218,203,205,208,209,211,211,211,215,229,227,206,187,183,190,190,200,204,193,183,172,153,127,107,95,91,68,169,217,206,205,207,210,212,212,212,215,217,211,201,199,197,192,192,209,199,184,167,159,139,114,102,94,75,94,207,209,207,205,209,211,211,214,214,219,226,226,222,215,204,188,190,207,188,167,150,143,122,108,101,76,82,187,213,207,208,208,210,211,212,214,213,225,231,227,220,208,198,187,186,199,178,153,139,126,113,101,76,99,188,215,207,209,208,208,210,212,212,213,215,231,230,226,216,199,191,188,189,186,165,146,129,116,93,85,144,207,216,210,210,210,210,209,208,211,213,211,218,232,226,218,210,198,186,186,189,177,158,134,112,88,94,184,220,211,210,211,210,210,210,208,214,211,211,208,224,224,216,206,205,196,179,183,180,160,145,128,97,84,187,219,210,212,210,210,210,209,208,206,176,210,216,211,223,208,203,197,195,186,186,182,172,150,130,115,86,158,217,210,212,212,211,210,210,209,209,208,101,104,156,228,212,195,188,185,185,192,185,173,166,141,122,97,100,205,215,214,212,212,211,210,210,209,209,209,109,95,90,180,203,187,179,185,193,196,175,162,156,131,114,81,139,221,215,214,214,212,211,211,211,210,210,209,101,103,104,89,105,117,115,122,137,151,149,149,143,121,101,79,184,221,214,215,215,213,212,211,210,210,211,208,100,97,103,91,47,64,70,67,65,67,73,88,103,104,78,107,208,215,215,215,215,214,212,211,210,210,209,209
24,149,152,154,158,159,160,163,165,166,166,167,167,167,168,168,168,168,169,170,169,169,169,169,169,168,167,166,166,151,154,158,160,161,163,166,167,167,168,169,169,170,170,170,171,172,172,172,172,172,172,172,172,170,169,169,168,152,155,158,162,165,167,168,169,170,171,171,171,173,173,173,173,173,173,172,172,173,173,174,173,173,172,171,170,154,157,162,165,167,169,170,171,173,173,173,173,174,174,176,176,175,175,175,175,175,175,176,176,174,174,173,172,157,163,162,167,170,171,172,173,174,174,176,176,177,177,178,177,178,178,178,179,178,178,178,178,176,176,175,173,142,132,170,168,171,173,174,176,175,177,177,178,178,178,179,179,179,180,180,180,180,180,180,179,179,177,176,177,133,87,170,171,173,174,176,178,178,178,180,181,182,180,181,181,183,183,181,182,183,182,181,183,184,182,183,178,132,80,164,173,175,177,178,180,183,185,182,175,172,187,182,184,184,184,184,185,184,184,184,179,167,140,143,186,121,67,165,176,176,179,183,179,158,156,184,155,121,135,189,185,184,185,186,186,185,185,179,151,130,81,126,190,111,65,165,179,173,141,145,184,144,109,158,164,141,103,159,192,184,185,186,186,187,186,178,147,87,110,190,184,126,73,154,183,186,153,130,177,159,140,138,176,161,128,122,195,186,188,187,188,186,183,172,118,87,188,188,185,136,90,143,183,193,189,154,144,182,162,124,152,176,137,101,181,190,189,190,190,185,181,153,77,129,198,186,187,156,142,152,177,176,195,181,125,151,181,139,114,171,126,76,175,199,191,187,179,179,163,99,85,188,191,188,188,174,171,162,175,162,153,187,117,89,184,157,91,108,98,59,152,175,170,161,151,154,111,73,175,198,191,190,190,168,179,174,171,169,154,151,112,68,132,131,76,41,75,101,143,165,168,151,127,110,70,148,204,191,192,192,191,171,184,173,172,169,150,139,120,90,71,87,56,43,112,172,183,179,164,136,109,80,110,205,193,193,193,194,192,174,182,173,143,152,147,133,126,109,94,96,94,142,172,183,180,166,149,117,83,73,184,200,195,196,195,194,194,175,179,181,161,134,137,160,146,139,122,116,163,189,185,180,171,155,131,98,60,138,207,196,198,198,196,196,195,177,178,190,190,160,135,138,154,173,172,174,195,189,184,174,158,137,108,67,113,207,197,199,198,197,197,196,196,176,178,183,193,175,151,135,145,161,187,194,190,190,183,164,139,113,79,81,194,202,199,199,198,199,198,198,196,176,181,179,188,193,166,146,147,165,190,195,197,195,176,145,117,92,62,155,206,197,199,198,198,198,198,197,194,177,181,181,192,203,192,164,161,168,196,206,198,185,154,122,96,68,98,205,198,199,199,198,198,198,197,197,200,177,180,182,183,195,205,181,168,171,192,202,189,163,130,101,79,59,170,206,200,202,202,201,200,198,200,193,188,179,180,185,176,171,191,182,172,172,176,178,172,146,111,83,56,99,207,198,201,201,201,199,200,204,190,184,124,172,177,181,185,168,170,175,170,165,151,147,156,137,99,73,53,160,213,206,206,206,206,205,205,185,177,201,170,102,107,108,114,113,151,175,162,150,134,135,146,126,100,76,63,145,170,171,174,177,184,188,181,185,169,167,117,93,93,92,92,87,116,166,134,130,130,145,156,125,107,91,66,83,93,91,93,94,96,101,169,201,163,159,118,96,99,104,103,101,99,146,129,138,150,154,157,128,103,99,70,91,107,106,106,102,102,138,140,183,192,94,146
4,168,170,171,172,173,173,175,175,175,174,177,177,176,178,178,177,177,175,176,177,176,176,177,176,176,177,175,174,171,172,173,173,174,176,176,176,178,177,177,177,178,179,179,178,180,183,178,178,179,178,179,179,178,178,178,178,173,174,174,175,177,177,179,178,179,178,178,177,177,180,184,171,147,157,183,180,182,179,180,181,180,180,180,180,175,174,175,177,178,179,180,180,179,178,181,163,146,159,209,181,146,97,173,187,182,186,180,183,181,180,181,182,177,177,178,180,180,181,180,182,182,186,211,179,170,133,202,193,158,115,123,160,145,158,190,183,185,182,184,184,179,180,179,182,183,182,181,180,171,175,209,208,169,136,164,205,154,125,72,150,144,100,163,191,185,186,186,186,180,181,181,184,186,183,183,192,185,174,141,196,188,146,136,207,163,123,66,155,156,107,97,195,187,189,188,189,180,182,184,185,187,182,190,208,199,186,111,114,195,138,109,206,172,120,60,154,159,114,76,184,191,190,190,190,183,185,185,186,186,184,195,185,178,169,101,87,160,135,105,161,147,97,62,161,156,108,72,183,195,191,191,192,184,186,188,188,188,186,196,187,158,169,97,70,159,145,120,121,103,63,57,158,137,81,84,193,194,192,193,193,185,186,188,190,190,186,192,195,148,159,117,75,141,159,154,137,137,107,68,119,108,71,88,201,192,195,194,194,186,187,189,189,192,191,192,209,186,146,130,80,92,173,182,184,171,153,103,71,88,68,105,206,193,197,195,196,188,189,191,192,194,193,193,209,189,153,108,66,60,136,176,183,182,150,104,63,69,62,126,210,195,196,196,197,188,190,192,194,195,191,196,208,168,127,108,87,66,55,114,167,170,143,109,78,67,60,141,211,196,197,197,198,190,192,194,194,193,191,199,200,162,129,105,87,71,68,73,102,150,149,129,91,72,54,145,209,196,199,199,198,192,192,194,195,194,193,201,209,179,144,116,100,87,79,102,84,148,178,147,108,82,53,156,210,198,200,200,199,192,193,194,195,196,194,204,206,178,130,104,99,87,76,109,151,191,195,174,133,97,57,145,214,199,200,200,200,192,194,194,195,196,195,205,206,170,135,112,98,105,92,135,194,209,199,192,147,109,74,101,214,199,202,202,202,194,195,196,196,198,198,206,201,173,138,120,109,131,104,165,212,216,196,172,138,110,81,104,214,201,203,203,203,194,194,196,197,199,199,206,199,175,141,129,132,130,121,188,213,208,191,165,124,105,72,131,217,204,205,203,204,195,196,198,198,199,198,201,197,172,149,139,137,126,127,196,212,193,168,152,110,91,66,163,214,204,206,203,203,196,197,199,199,199,200,199,194,167,145,127,149,124,128,196,208,178,148,134,100,81,75,194,209,205,205,202,203,195,198,200,199,202,201,197,190,172,145,150,168,119,129,202,197,165,135,115,90,76,102,214,205,207,207,206,206,196,199,199,199,202,203,200,185,173,156,148,167,127,130,203,172,150,123,100,85,68,146,219,207,209,208,208,208,196,198,198,199,201,202,201,190,178,160,145,162,131,135,190,156,136,106,91,84,71,185,214,208,209,208,208,208,196,195,196,197,199,200,193,205,189,162,144,141,123,118,178,147,117,99,86,78,89,206,208,208,209,209,209,209,196,197,196,198,200,191,195,212,188,158,141,122,103,111,154,125,98,92,86,67,139,215,207,208,208,209,209,209,196,198,198,200,201,187,208,203,186,171,146,110,106,124,148,96,98,85,79,92,198,210,208,208,208,208,208,208
14,165,167,169,170,170,171,172,172,173,173,174,173,174,173,172,172,171,170,170,170,169,168,168,167,166,165,164,164,167,168,170,171,172,173,174,175,175,175,175,175,176,175,175,175,174,173,172,172,171,171,170,168,168,167,167,166,169,170,171,173,174,175,176,176,176,177,177,176,178,178,176,177,175,175,174,174,173,171,171,171,170,170,169,168,169,171,172,175,175,176,178,178,178,179,179,179,177,177,178,179,179,176,175,176,175,174,173,172,171,171,170,169,170,172,174,175,176,178,180,181,180,181,180,180,189,171,164,172,171,181,178,177,177,176,175,173,173,172,172,171,171,173,176,177,178,179,181,181,181,182,184,195,189,174,162,159,148,156,179,179,178,177,177,176,175,174,174,173,174,175,177,179,181,181,182,183,184,184,198,195,190,177,181,169,145,121,131,187,179,180,179,177,176,176,175,175,176,177,178,180,182,182,181,184,183,193,199,197,179,111,162,163,156,127,82,142,188,179,180,178,178,177,176,176,177,178,180,181,182,184,183,186,189,203,173,136,127,95,91,103,168,160,88,96,180,182,181,180,180,178,177,177,178,180,181,184,185,187,186,200,210,198,160,116,85,81,74,59,146,183,130,91,167,188,182,182,181,179,179,179,180,182,182,184,187,185,194,211,198,166,142,122,94,65,81,63,98,145,128,90,144,192,183,183,182,181,180,180,181,182,183,186,187,185,210,206,185,142,100,97,88,75,66,92,174,158,160,121,123,193,183,185,184,182,181,181,180,182,185,187,183,207,215,197,184,141,102,76,78,66,108,184,192,185,167,105,121,194,186,187,184,184,183,182,182,184,188,182,201,219,202,196,168,130,110,81,67,91,193,197,188,172,157,97,112,197,187,189,187,186,185,184,184,187,186,192,222,212,203,191,163,140,106,67,57,120,182,197,191,161,150,103,82,171,194,188,189,188,187,185,186,189,184,214,224,211,198,182,161,127,94,68,79,84,88,179,172,145,142,116,90,136,201,189,190,188,188,187,188,186,197,226,219,206,193,180,143,110,82,86,104,105,102,108,130,154,145,113,92,168,198,191,191,189,189,188,187,186,217,221,211,200,185,166,128,109,85,108,118,120,124,111,123,148,135,90,149,201,192,193,192,191,191,190,188,201,226,213,204,190,180,157,129,109,100,118,121,124,118,123,118,141,101,127,201,192,194,193,192,192,191,190,169,224,225,207,193,186,171,154,135,106,107,121,121,120,110,125,113,93,118,200,197,196,196,194,193,193,192,191,95,156,213,200,176,165,153,141,111,100,105,113,118,112,108,109,80,106,194,200,196,197,197,196,194,194,193,192,98,88,119,162,172,144,118,92,83,95,95,101,109,102,91,109,152,199,203,197,199,197,197,197,196,195,194,193,91,93,86,94,105,100,89,79,79,83,83,82,82,87,134,199,210,202,200,200,199,198,198,197,196,196,194,193,89,87,90,89,56,55,64,61,59,61,55,88,132,170,209,204,202,202,202,202,201,199,199,198,197,197,195,194,86,86,83,90,80,43,56,55,51,51,45,69,196,214,202,204,204,204,203,203,202,200,200,199,198,197,196,195,85,82,81,85,84,44,48,52,51,51,47,55,189,209,204,205,205,205,204,203,203,201,201,200,199,198,197,197,76,79,76,82,84,41,46,49,48,51,38,111,221,204,207,207,206,205,204,204,203,202,202,201,200,198,197,197,86,110,70,86,71,37,47,47,46,48,36,153,219,204,207,207,206,205,204,204,204,203,202,202,201,199,199,198
15,58,85,91,102,110,116,123,130,138,142,145,148,151,154,156,158,160,162,163,165,166,168,169,169,171,173,174,176,60,87,92,103,110,117,123,131,139,141,146,150,152,155,157,158,161,163,164,166,168,169,169,170,172,174,175,176,62,88,95,105,111,118,123,132,140,142,146,150,152,155,157,160,162,163,165,167,168,169,170,173,173,175,176,177,67,90,96,107,113,116,123,133,141,142,146,150,152,155,158,161,162,162,165,168,168,169,172,173,174,175,176,177,72,91,97,106,111,133,130,131,140,145,147,150,152,156,159,161,162,163,165,167,168,171,172,173,175,176,176,178,76,92,99,105,117,169,142,128,123,134,148,153,153,156,159,162,163,164,166,167,169,171,172,174,175,176,177,179,81,92,99,108,116,148,147,138,129,119,125,140,153,160,160,161,163,166,167,168,170,173,173,175,175,175,176,179,84,91,100,110,114,121,134,133,132,127,129,128,128,138,158,165,163,165,167,169,170,172,174,175,175,176,177,179,85,92,101,108,115,121,126,133,124,128,135,139,134,125,121,143,162,168,168,168,169,172,174,176,176,177,179,181,87,94,102,109,116,123,128,138,137,137,136,136,136,133,125,122,125,148,168,171,171,173,175,176,176,178,180,181,89,95,104,110,116,122,128,137,142,145,147,137,125,128,137,137,128,120,127,151,170,176,174,175,176,178,180,182,89,96,104,111,117,123,130,139,142,145,150,151,143,135,122,123,128,124,122,127,127,151,177,176,177,179,180,182,90,96,105,112,117,123,132,140,141,147,159,133,122,138,135,111,104,116,133,136,138,118,138,179,176,180,181,182,90,97,106,113,118,123,131,140,140,154,158,136,113,111,132,132,126,133,135,142,147,133,105,146,186,179,182,183,91,97,107,113,119,124,133,141,140,150,140,129,129,132,139,123,131,136,127,137,144,136,128,111,172,182,181,183,92,98,107,113,119,124,132,139,142,146,150,132,140,158,149,128,107,109,98,131,149,135,146,118,128,187,180,182,92,100,107,113,119,124,132,139,143,142,169,145,132,155,146,131,127,119,105,116,123,131,138,129,101,164,186,181,93,100,107,112,119,124,132,141,140,153,164,130,106,111,136,144,142,139,129,116,114,113,120,126,110,121,187,182,93,101,107,113,119,124,134,141,138,162,145,111,103,70,76,117,150,152,146,139,134,114,103,113,115,97,165,188,93,101,108,113,119,125,135,138,144,167,128,97,94,80,69,61,100,154,157,152,145,121,103,109,112,98,125,191,94,102,109,114,121,126,136,135,153,157,107,96,122,111,96,75,52,121,160,153,145,126,116,111,110,107,98,168,94,101,108,114,121,127,135,143,158,126,92,137,147,125,123,111,66,85,162,152,146,138,132,122,113,111,101,121,95,103,109,115,121,127,135,148,129,102,116,163,154,131,131,128,112,93,153,158,154,148,143,132,119,112,110,102,97,104,109,115,120,127,137,140,129,130,150,150,148,140,124,125,124,117,136,158,157,154,146,136,127,119,114,110,97,104,109,115,120,128,136,139,145,150,151,155,149,134,114,111,107,128,132,143,154,151,145,138,130,122,118,113,97,103,109,115,120,129,137,139,143,147,150,154,159,160,153,143,130,128,139,121,137,143,141,138,132,125,117,115,97,103,108,113,118,128,136,139,143,148,150,153,157,160,164,166,165,166,155,139,133,144,140,137,135,129,119,116,97,103,107,112,118,127,135,137,142,147,150,154,157,160,162,163,166,175,176,167,157,155,143,132,132,133,129,123
15,170,147,145,132,94,161,72,26,77,79,80,83,88,91,103,117,131,142,146,149,157,164,168,172,175,178,182,185,170,149,151,125,105,164,58,33,79,80,82,84,88,91,104,119,133,143,147,152,159,166,171,174,178,181,184,187,171,154,158,116,120,165,44,43,81,80,83,87,89,91,106,122,136,146,150,155,161,169,174,177,181,184,187,190,169,157,162,109,135,159,33,53,82,80,83,87,89,93,108,124,138,148,152,157,164,172,177,181,184,188,190,193,168,159,164,100,150,151,21,59,81,80,84,89,94,96,112,129,142,152,155,159,168,176,180,185,187,191,195,197,165,167,161,115,147,140,88,105,106,113,122,124,121,102,103,116,132,148,156,162,170,177,187,191,192,195,198,201,162,178,148,127,128,126,124,113,106,112,110,106,99,107,106,104,107,113,123,134,134,128,142,172,199,201,202,205,166,160,124,118,116,113,108,101,101,104,103,100,101,115,117,114,112,110,110,122,129,117,105,93,131,190,211,210,170,166,138,105,110,98,98,95,101,105,105,104,109,120,121,118,111,106,111,124,124,121,114,98,85,94,159,211,172,172,145,112,176,80,50,87,89,92,94,98,108,119,121,117,108,109,121,123,117,120,114,106,99,89,81,112,176,176,133,127,188,59,35,86,82,84,86,88,90,107,126,152,133,121,120,120,122,121,115,110,109,109,95,79,180,182,123,143,183,46,46,87,83,83,86,89,91,105,137,182,165,136,124,120,109,116,109,112,113,124,107,90,181,185,114,156,177,34,54,88,83,83,86,89,91,107,173,167,145,104,99,106,87,92,109,114,124,134,115,102,181,184,109,169,167,26,62,87,83,84,87,90,89,138,181,145,128,94,57,65,51,59,142,134,139,130,112,109,182,183,104,179,154,21,69,87,83,84,87,88,104,188,163,128,108,86,48,40,30,63,164,157,147,119,104,110,182,179,105,188,143,17,76,88,84,83,85,84,138,203,165,121,100,62,37,39,27,89,166,172,159,122,99,104,186,177,107,194,127,18,81,87,84,84,87,84,118,193,179,138,105,52,32,39,46,99,160,181,165,126,99,95,192,171,114,203,113,20,86,86,83,84,86,89,92,174,197,167,116,66,28,68,82,91,154,172,149,121,99,83,197,164,124,211,99,25,88,86,83,83,85,88,92,138,213,188,134,80,43,50,105,144,158,143,117,110,94,74,201,153,136,213,84,30,91,85,81,81,83,86,94,116,201,199,171,153,145,147,162,142,124,105,93,95,91,79,204,143,150,211,67,36,90,83,80,80,82,83,94,114,171,206,175,158,155,162,158,116,89,88,83,86,91,94,206,132,164,206,53,43,90,81,79,79,82,84,94,122,191,163,136,133,141,164,157,103,79,81,79,89,92,86,205,124,179,198,41,50,89,80,77,77,81,84,91,150,192,143,129,132,132,154,150,108,79,96,175,116,65,56,203,118,191,189,25,52,84,74,72,72,76,79,88,150,175,138,122,120,115,135,138,110,75,181,244,129,66,59,200,116,198,180,88,102,115,104,98,94,91,92,102,129,151,146,155,155,110,89,129,103,89,173,245,136,72,62,195,119,203,184,151,117,127,128,126,124,126,129,127,126,128,137,145,187,156,92,138,133,116,160,189,122,79,66,189,122,207,182,140,107,119,118,119,120,122,121,123,122,120,123,121,150,185,124,115,126,127,126,128,104,75,72,183,129,210,179,138,113,120,122,123,124,123,124,126,127,129,130,128,129,149,139,130,132,134,134,136,106,62,42
19,164,165,166,168,170,170,171,171,171,171,171,171,171,170,170,170,169,168,168,168,167,166,166,165,164,163,163,163,165,165,167,168,170,171,172,172,171,171,171,171,171,171,171,171,170,169,169,169,168,166,166,166,165,164,164,163,165,166,167,169,170,171,173,172,172,172,172,172,171,172,172,172,171,170,170,170,169,167,167,167,166,165,165,164,166,167,168,170,171,172,173,173,173,173,173,173,172,173,173,172,171,171,170,170,170,169,169,168,167,166,165,165,167,168,169,171,172,173,173,174,175,174,171,169,172,173,173,173,173,172,171,171,171,171,170,169,167,166,166,165,168,170,171,172,174,175,175,175,177,179,166,153,157,171,175,175,174,173,172,172,172,172,171,170,168,167,167,166,169,171,172,174,175,176,176,177,180,193,182,154,133,152,173,175,175,174,173,173,173,172,172,170,169,169,168,167,170,171,173,174,175,176,177,178,179,194,198,170,130,120,161,176,176,175,174,174,174,173,172,171,170,169,169,168,172,173,174,176,177,178,179,179,179,187,198,176,133,101,138,175,177,176,175,174,174,173,172,171,170,170,169,169,173,174,175,177,178,179,180,180,181,189,194,170,133,99,123,172,177,177,176,175,174,173,172,172,171,171,170,170,173,175,177,178,179,181,182,183,194,204,190,167,146,123,133,168,174,176,177,176,176,175,174,173,172,171,171,170,174,176,178,180,181,182,182,190,209,203,177,158,161,167,169,170,165,164,165,170,174,175,175,174,173,172,171,171,176,178,179,181,182,182,185,204,211,188,153,131,141,168,185,187,180,171,159,157,160,167,171,172,173,172,172,171,178,180,180,181,182,184,197,217,210,188,158,127,118,140,165,178,183,182,174,168,165,167,161,158,163,168,172,172,179,180,181,182,184,188,209,215,197,178,162,149,138,138,144,150,154,160,167,175,180,183,173,155,147,145,158,169,179,180,181,183,186,197,216,207,179,157,149,146,155,161,155,146,135,125,129,146,159,172,176,167,154,137,137,153,179,181,183,185,191,212,226,209,175,152,143,140,148,164,169,163,147,123,113,135,157,162,161,158,153,147,145,152,181,182,183,185,200,223,226,204,176,161,160,159,156,150,149,157,154,137,123,129,165,178,173,166,158,153,150,151,181,182,184,190,210,225,217,192,168,162,171,176,173,153,121,132,135,134,131,128,163,183,182,180,177,173,168,165,182,183,186,201,220,225,211,180,153,141,157,178,183,171,133,130,120,117,120,139,173,184,184,183,182,181,179,178,182,183,192,214,224,228,209,175,150,136,136,153,163,170,163,146,127,118,128,165,183,184,184,183,182,181,180,179,182,185,202,221,229,228,203,173,157,151,148,143,135,148,166,154,136,130,158,183,185,185,185,184,182,180,179,178,184,191,213,224,228,220,200,177,165,161,157,148,136,135,138,134,136,153,179,187,186,186,185,183,182,181,180,179,184,199,220,225,223,213,196,179,167,164,161,149,136,129,126,126,156,180,187,187,187,186,185,184,183,182,181,180,186,207,222,222,219,207,188,170,152,149,151,146,138,132,132,151,183,190,188,187,187,187,187,186,184,183,182,181,192,213,219,216,211,199,179,152,127,117,127,139,139,142,156,178,191,191,190,189,188,187,187,186,185,183,183,182,202,214,210,203,196,179,154,129,110,103,141,171,172,176,185,191,192,192,191,190,188,187,186,186,184,183,182,181,212,212,199,190,178,157,133,116,106,108,165,193,193,193,193,193,193,192,191,190,188,187,186,186,184,183,182,181
23,121,124,125,130,136,141,145,149,151,154,156,157,159,162,163,165,166,165,166,166,164,164,164,163,161,161,161,161,122,126,126,132,138,142,147,148,151,155,157,159,161,163,163,166,167,166,166,165,166,165,165,164,164,164,163,162,122,126,127,133,139,143,147,149,153,156,158,160,163,163,165,167,167,167,165,166,167,167,165,165,166,165,165,164,123,127,128,133,139,143,148,151,153,158,159,162,165,167,167,167,167,167,167,169,171,171,172,168,166,165,165,165,124,127,130,135,141,146,150,153,156,160,161,163,165,166,169,169,170,170,169,170,166,148,143,159,170,168,166,166,126,128,130,137,143,148,152,155,158,160,163,164,166,167,169,172,172,170,169,167,159,145,136,126,152,154,170,166,126,129,130,137,143,149,153,155,158,161,164,166,167,169,171,171,173,178,162,170,164,121,148,140,104,77,173,168,126,130,134,139,144,149,153,157,159,164,166,168,171,173,174,173,181,175,128,138,103,48,103,88,72,129,175,168,128,133,135,139,145,150,154,159,162,165,167,170,171,174,173,180,180,170,102,38,92,140,175,159,168,178,172,172,130,134,136,141,146,150,154,158,162,166,168,169,171,174,174,187,175,171,101,73,194,177,179,179,176,173,173,173,131,133,136,142,147,153,157,160,164,166,169,171,172,171,172,178,164,166,144,144,163,134,111,173,177,174,174,174,132,134,138,144,149,155,159,162,165,168,171,172,177,160,156,153,166,172,173,182,167,138,44,134,189,174,175,174,133,135,138,144,150,155,160,163,164,169,171,180,182,155,133,132,140,138,131,148,141,125,44,116,192,174,176,176,134,134,137,145,151,156,160,164,165,170,172,184,174,142,110,100,144,156,145,130,108,113,55,105,194,177,178,176,135,136,138,145,152,157,161,164,169,170,176,190,175,140,115,110,123,144,151,158,138,95,38,93,194,178,179,179,134,136,140,147,154,158,161,166,170,170,187,191,178,159,157,156,135,109,96,110,123,92,18,102,200,178,179,180,135,137,142,149,155,159,163,168,171,173,193,190,177,158,158,145,160,138,110,96,66,51,19,96,181,183,180,180,135,137,142,150,154,159,164,168,169,189,195,196,170,143,138,102,156,158,123,90,55,27,56,103,121,197,180,182,135,137,142,149,155,160,166,163,183,204,195,185,136,88,93,74,78,131,137,78,37,33,63,90,45,128,194,181,137,139,144,150,155,163,161,177,207,204,187,160,133,89,41,51,72,169,155,67,36,32,61,58,24,22,175,187,138,139,143,150,156,159,170,205,207,194,174,147,132,97,34,73,140,162,122,48,29,25,59,49,35,13,141,195,139,140,143,150,157,156,203,211,198,180,157,153,129,82,30,26,63,85,66,24,20,46,56,49,22,53,175,187,139,141,144,152,152,177,217,204,193,172,156,146,112,79,47,16,21,32,40,35,28,60,56,37,80,175,192,185,138,137,148,154,161,215,203,197,182,160,146,130,100,70,38,33,58,65,61,56,40,33,58,131,196,191,186,187,136,139,127,118,203,211,191,183,165,148,132,114,84,58,33,50,72,74,66,47,32,90,181,197,187,187,187,187,135,147,60,14,194,207,179,166,145,129,116,99,72,51,39,61,66,59,31,42,146,199,193,187,189,188,188,187,141,118,29,15,51,145,168,147,135,121,108,88,66,42,38,54,48,23,55,167,201,188,189,190,189,188,188,188,142,59,12,20,14,25,79,104,105,100,88,78,47,17,17,28,31,83,183,200,188,192,192,192,191,189,189,188
13,144,147,149,150,152,152,154,156,156,155,155,156,156,157,159,157,157,160,158,158,157,157,157,158,158,158,158,157,146,148,150,152,154,155,157,157,157,157,157,157,157,158,151,159,164,159,159,159,159,159,161,160,160,161,159,158,149,151,153,154,155,156,158,157,158,160,165,162,165,159,114,81,145,166,159,159,162,162,163,162,163,163,161,161,149,152,156,156,157,159,159,159,160,157,140,147,176,163,120,44,109,178,163,168,163,165,165,165,164,165,164,164,150,153,156,156,159,161,163,159,178,161,107,83,146,161,119,52,89,108,93,131,170,165,165,164,163,164,165,165,152,154,157,159,160,163,163,156,186,179,130,79,139,165,107,47,67,123,75,34,147,173,166,167,166,166,166,166,154,154,158,160,161,160,166,133,90,126,150,84,131,162,98,40,134,145,90,30,106,181,168,169,169,170,169,169,156,157,160,162,160,170,176,132,91,59,134,83,122,183,97,70,153,121,84,32,110,181,168,170,171,171,171,170,158,161,163,161,170,171,169,151,112,59,106,97,91,152,81,73,159,127,77,25,134,180,169,171,173,172,172,172,159,163,164,164,176,139,150,158,108,58,72,115,49,18,23,82,173,132,60,33,155,176,172,173,172,174,173,172,160,162,162,170,176,146,124,146,112,53,52,106,63,0,31,119,125,72,26,52,175,174,174,174,172,174,175,174,163,164,165,181,171,140,103,150,107,55,47,88,67,0,24,130,142,101,50,96,189,174,177,176,175,175,175,175,163,164,166,187,174,141,94,137,101,55,39,88,75,40,132,132,128,121,94,68,175,177,177,177,176,176,176,176,164,165,169,188,165,133,89,110,105,63,38,129,101,98,170,146,119,93,77,43,136,188,178,179,177,177,177,177,165,165,171,187,166,142,119,95,99,97,22,112,129,159,160,139,115,78,61,45,149,185,178,180,179,178,178,177,165,166,174,188,168,147,130,101,73,60,36,135,171,179,157,129,105,73,54,58,175,181,180,181,181,179,179,179,166,166,175,188,168,146,131,124,88,75,98,176,177,177,147,117,93,66,47,84,188,179,182,181,182,180,180,180,167,167,173,182,169,151,138,133,100,88,92,165,177,164,127,100,80,59,43,137,191,182,185,182,182,181,181,181,168,168,170,173,171,155,141,136,111,86,94,166,175,147,116,90,71,47,82,187,184,186,185,183,183,183,183,183,167,168,169,173,174,157,141,136,116,89,108,152,164,129,108,80,64,40,143,192,182,185,184,184,183,183,183,183,166,168,169,174,174,158,140,131,115,88,115,144,136,112,96,73,55,61,179,183,183,184,183,183,184,184,183,183,166,169,168,175,174,149,135,122,99,87,122,126,109,100,83,68,43,118,193,182,183,183,183,183,183,183,182,183,167,169,163,177,166,140,132,108,92,95,125,111,100,93,74,55,72,178,184,183,183,184,184,184,184,184,184,184,166,166,162,187,160,143,133,108,103,112,127,106,98,79,65,51,151,188,182,184,184,184,184,184,184,184,184,183,167,162,169,192,163,155,136,108,113,125,113,95,85,64,44,109,187,182,183,184,184,185,185,185,185,184,184,184,168,160,172,177,158,159,141,116,123,119,100,83,68,50,58,172,185,183,183,183,183,185,186,185,186,185,184,184,171,156,171,163,144,146,133,112,112,113,90,65,62,36,117,189,183,185,183,184,184,185,186,186,186,186,185,186,115,132,175,155,136,119,112,101,110,119,76,62,57,41,144,177,176,180,182,183,184,185,187,187,185,187,184,175
5,111,116,120,122,127,132,135,138,141,143,143,146,148,149,149,150,151,151,150,150,150,149,149,149,147,146,146,145,112,117,120,123,128,134,138,140,139,152,149,115,151,150,151,152,153,153,153,153,152,150,150,149,148,148,148,147,113,119,122,125,130,135,139,142,137,171,145,104,151,152,153,153,153,153,153,154,152,152,151,152,151,149,149,148,114,120,122,125,131,135,139,140,146,188,108,122,156,152,154,154,154,154,154,151,154,150,152,152,152,150,149,148,114,121,124,124,131,137,142,137,170,188,93,141,156,154,155,156,156,154,154,165,177,114,136,157,152,152,150,149,116,122,121,138,134,132,144,136,188,177,100,150,155,155,156,159,154,159,188,174,138,105,146,157,153,153,151,150,117,124,116,169,143,104,148,140,201,160,106,156,156,157,159,156,165,202,177,112,111,151,157,155,155,154,152,151,117,125,116,174,137,101,148,146,208,144,108,160,157,159,157,166,202,182,121,105,154,161,157,156,155,155,154,153,119,126,121,189,124,110,148,155,207,132,103,162,157,157,167,197,169,116,113,158,163,159,159,158,157,156,155,154,120,126,124,187,132,104,148,160,198,144,97,155,160,160,191,178,108,103,158,164,161,160,159,159,158,158,156,155,120,128,122,177,159,97,147,156,196,147,91,151,164,169,181,138,94,142,169,161,162,162,162,160,161,159,158,157,122,129,124,161,182,102,116,152,189,146,79,132,161,150,135,106,120,165,160,162,164,164,162,161,156,157,159,158,123,129,127,146,186,146,127,117,164,166,108,91,109,113,100,107,155,156,184,190,186,182,175,164,111,131,169,156,125,129,132,138,158,170,163,138,136,154,115,92,92,99,98,126,143,167,161,149,159,175,164,148,121,97,148,164,125,130,132,137,141,149,167,180,183,160,116,89,88,92,109,113,115,132,102,95,170,182,145,121,107,101,145,165,125,130,131,137,146,146,150,186,206,184,130,88,89,89,98,107,100,84,112,163,193,150,105,117,152,164,165,162,127,131,133,139,145,152,152,169,202,194,143,93,86,84,90,98,82,120,179,172,168,111,101,166,171,166,165,164,127,132,134,141,146,151,156,155,190,205,164,108,83,84,82,81,72,124,153,158,167,106,130,176,166,167,167,165,129,132,134,142,147,152,157,156,183,209,179,130,89,80,79,86,99,121,129,153,157,101,147,176,168,168,168,166,127,132,134,141,146,150,156,157,169,214,193,153,103,79,81,89,100,130,145,141,144,101,154,175,168,169,168,166,127,132,134,140,146,151,155,156,166,215,204,173,123,83,82,88,111,142,144,123,116,93,159,174,170,168,167,166,127,132,134,140,147,153,158,158,166,214,206,182,140,94,80,95,123,146,138,108,94,117,174,172,172,169,168,167,129,134,134,141,148,152,157,159,164,208,208,185,157,110,85,88,127,139,131,99,95,167,176,173,172,170,169,168,128,133,135,140,146,153,156,159,162,195,209,188,168,128,99,85,117,133,118,92,108,178,172,172,171,170,167,167,126,132,135,141,148,154,159,165,164,188,204,198,178,151,114,92,96,119,108,90,142,185,177,177,177,174,173,174,120,123,127,130,132,137,139,143,138,181,211,209,187,158,119,100,94,106,97,95,139,146,142,143,143,142,143,134,91,92,92,93,91,90,90,94,80,166,222,207,183,145,115,103,96,97,97,92,83,82,80,81,82,79,76,123,96,97,97,97,97,95,97,101,87,163,216,198,164,120,106,99,97,99,96,90,90,89,89,89,86,92,161,196
4,156,158,159,163,164,167,170,171,171,173,174,174,175,176,177,176,176,176,175,174,175,174,174,174,173,172,172,172,156,159,160,164,165,168,170,171,172,173,175,175,175,178,178,177,177,178,177,175,176,174,174,174,175,174,173,173,157,160,162,164,166,168,170,172,173,174,176,176,177,178,179,178,178,178,178,178,177,176,176,175,175,175,174,172,158,161,163,166,168,170,171,173,175,174,176,177,178,186,174,167,179,181,171,176,179,178,178,177,176,174,174,174,159,163,165,167,169,171,173,174,175,177,179,177,192,199,171,146,179,184,156,144,179,179,179,179,177,176,175,175,160,163,166,168,170,172,174,176,175,204,202,177,178,210,172,146,195,184,157,114,168,164,169,179,179,177,176,175,161,165,167,170,172,173,175,177,185,228,225,188,143,206,175,144,209,187,149,134,176,140,120,171,178,177,178,177,163,166,167,171,174,174,177,176,203,219,222,176,132,201,177,151,205,183,170,180,150,126,97,136,180,179,179,179,164,166,169,172,174,176,177,178,218,198,212,162,116,180,185,187,192,209,225,194,135,99,92,125,181,181,181,180,164,168,171,173,175,177,178,185,220,190,197,168,100,162,170,189,204,215,210,192,156,103,82,136,181,182,181,180,165,168,172,173,176,178,178,210,214,183,174,167,95,146,144,126,171,189,183,195,169,120,84,150,183,182,182,182,165,169,172,174,176,178,184,224,195,165,154,124,94,145,142,96,171,152,165,207,181,138,96,168,184,183,182,182,167,170,173,175,177,178,196,225,186,152,140,126,114,126,125,105,164,133,146,221,199,154,107,172,185,184,184,183,167,171,173,176,178,177,212,226,185,148,129,114,115,120,123,132,148,153,169,220,207,161,112,139,185,186,185,184,167,171,174,177,180,178,225,225,185,145,127,114,118,119,143,166,180,203,206,197,192,157,124,111,185,187,186,186,169,171,175,178,180,181,233,225,181,143,140,126,118,117,160,188,209,208,202,184,156,156,130,116,185,187,187,186,168,171,175,177,180,187,238,223,181,157,160,138,126,156,202,216,211,207,190,164,135,133,114,140,188,187,187,186,166,170,173,177,180,191,239,223,193,187,174,145,179,214,230,223,209,198,174,148,126,111,107,172,188,188,187,186,168,171,174,177,181,195,239,231,212,201,185,155,207,227,233,228,195,182,160,140,118,102,135,187,188,189,187,187,168,171,175,178,181,194,240,236,219,199,189,165,215,231,230,216,181,164,149,134,112,105,176,189,190,190,188,187,169,172,175,179,181,187,238,235,220,199,186,178,214,226,214,196,169,150,141,121,101,142,189,191,190,189,189,188,170,172,176,179,182,183,233,226,212,202,188,183,201,208,193,172,155,148,135,108,109,182,192,192,190,189,189,187,169,171,176,179,182,183,228,214,204,206,194,184,193,200,184,162,144,140,124,102,156,192,192,191,190,189,188,187,168,172,175,178,182,181,223,205,203,204,189,172,188,199,178,150,130,128,113,131,188,192,193,190,189,189,188,186,161,164,166,169,173,171,220,212,207,197,185,170,180,197,166,133,120,117,110,164,178,178,178,176,176,175,175,173,114,115,115,115,116,115,213,221,216,202,188,174,169,191,158,125,114,107,99,108,109,108,107,106,106,107,107,119,104,105,105,105,107,103,202,232,221,207,196,178,158,188,162,124,106,100,99,98,97,97,96,96,96,95,132,195,108,108,109,110,110,105,188,232,219,202,194,177,150,181,162,120,103,97,100,100,100,98,99,99,96,141,206,209
2,184,185,186,187,190,192,192,192,192,192,191,192,191,191,190,186,186,188,186,187,186,186,185,184,184,183,182,180,186,187,188,190,191,192,192,193,193,193,192,193,192,189,192,205,214,207,190,183,184,187,187,186,185,185,184,182,186,187,189,192,192,192,193,194,194,194,194,191,194,209,229,232,219,211,210,170,151,148,170,187,185,185,185,183,188,189,190,192,193,194,194,194,195,195,192,202,238,228,228,227,205,178,169,144,121,122,116,172,190,186,185,185,189,191,192,192,194,195,196,196,196,197,189,230,236,223,228,195,158,134,129,122,120,122,107,157,193,185,186,187,190,191,193,194,195,196,197,198,197,195,198,246,235,224,184,146,116,109,115,114,122,123,141,182,190,188,188,187,191,192,193,195,197,198,198,199,199,193,213,253,232,176,132,117,106,117,120,152,182,181,191,193,191,189,188,188,192,193,194,197,197,198,199,200,202,193,222,250,211,145,110,115,114,120,166,197,196,195,193,192,190,191,190,189,193,194,196,198,197,199,199,200,202,196,242,238,177,121,102,109,111,125,199,194,193,193,193,192,191,191,191,190,194,196,197,197,200,200,200,203,197,216,251,197,136,102,101,98,109,129,197,196,196,195,194,193,193,192,191,190,194,196,197,198,200,201,201,202,202,248,229,167,123,111,115,107,100,144,203,196,197,196,195,194,194,193,191,191,194,196,198,200,202,202,204,198,236,255,208,160,132,125,122,119,106,160,206,196,198,197,195,195,195,194,192,192,196,198,199,201,203,204,204,205,255,246,195,151,129,131,124,123,114,166,206,197,198,198,196,195,196,196,192,191,197,199,200,202,204,205,201,221,255,231,177,141,131,131,122,126,119,169,207,198,200,198,198,197,196,198,197,193,199,200,201,204,205,208,200,241,255,218,166,135,127,125,122,126,120,175,208,200,200,200,200,200,199,190,180,188,199,200,202,205,206,207,205,255,254,207,162,133,124,125,125,127,115,173,209,201,201,200,201,198,183,183,151,154,200,202,204,206,209,201,228,255,238,198,156,130,121,122,121,121,110,148,212,202,203,203,200,180,187,170,138,187,202,203,205,207,210,204,255,255,228,191,153,127,119,117,117,123,117,120,205,206,204,205,175,177,185,136,168,203,203,205,206,209,205,221,255,251,219,184,147,125,117,114,119,126,126,111,165,216,204,171,165,183,153,136,199,197,204,206,207,211,205,241,255,241,210,178,145,123,115,116,121,124,128,123,119,155,164,162,175,167,135,154,205,198,205,206,207,210,208,255,255,232,208,176,143,124,115,122,123,119,123,125,121,123,156,181,172,148,144,189,202,199,206,207,210,209,218,255,248,229,207,172,145,128,119,129,128,126,131,132,129,142,172,179,161,148,193,205,201,200,206,208,211,207,239,255,244,234,211,177,155,133,123,137,140,144,142,142,136,146,173,157,151,195,209,204,202,200,206,209,210,210,255,255,247,235,213,183,160,138,128,144,150,154,144,140,139,144,148,156,202,208,205,206,203,201,208,210,209,221,255,255,245,231,201,172,157,142,134,145,153,154,146,140,134,137,155,204,211,208,207,205,204,202,208,212,203,238,255,250,240,215,180,155,147,142,141,150,151,148,145,132,156,194,208,211,208,207,206,206,204,201,209,208,224,255,246,236,217,185,156,150,147,140,142,145,144,142,134,164,212,214,210,210,209,207,207,206,204,201,208,214,255,247,231,219,199,160,152,153,148,144,142,138,137,143,180,215,214,211,211,211,209,208,208,206,205,203
0,182,180,181,181,183,182,181,182,182,182,185,186,182,183,183,184,184,182,183,185,182,182,182,184,183,181,181,181,182,182,183,182,183,184,184,185,184,185,186,186,187,184,182,182,183,181,185,185,182,184,184,185,184,183,183,182,182,184,185,183,184,186,185,183,187,189,185,186,189,187,184,185,185,184,185,185,184,185,184,184,185,183,182,182,185,186,185,186,187,187,185,185,178,168,186,183,182,187,186,179,180,191,189,189,190,185,183,186,186,184,184,184,187,185,186,187,188,187,183,197,176,103,92,150,147,128,158,168,145,129,175,174,173,190,189,185,186,186,185,185,186,186,186,188,187,189,186,191,185,98,15,110,154,80,65,157,137,61,62,128,94,92,140,191,186,185,185,185,188,187,187,187,184,187,181,150,177,117,46,79,139,71,33,128,109,49,33,119,89,33,45,124,195,184,186,186,188,188,189,189,183,180,168,126,142,155,82,39,113,71,23,111,102,33,41,125,83,28,59,83,133,201,183,187,189,189,190,189,186,180,167,134,100,125,87,17,96,67,4,98,124,39,39,135,100,34,74,121,63,158,196,184,190,189,189,190,188,180,162,131,91,75,54,33,90,50,0,110,118,25,59,146,123,97,89,97,63,75,204,184,190,191,191,191,188,179,169,153,120,70,54,49,61,40,12,87,84,69,139,140,127,112,84,57,41,70,199,186,191,192,193,193,188,183,175,164,148,106,57,45,38,59,71,73,113,152,157,148,131,99,81,62,28,97,204,186,192,192,193,195,190,185,181,169,160,143,88,48,50,66,74,115,161,166,164,155,133,93,70,60,24,129,206,188,193,193,194,195,189,185,191,177,172,163,124,83,83,70,91,146,164,174,180,159,125,89,66,53,32,174,200,190,193,195,194,195,191,173,196,189,185,177,152,126,118,94,100,145,159,176,185,159,117,83,65,37,80,204,192,193,194,195,195,195,197,164,185,198,195,184,165,148,137,123,112,138,165,179,172,151,105,75,67,35,151,203,193,193,195,196,195,195,203,167,168,198,200,189,175,159,146,136,127,126,154,176,162,139,95,72,55,55,195,195,194,194,196,196,195,196,200,183,146,189,199,198,183,169,157,146,127,120,135,156,146,117,85,70,35,94,210,193,194,196,196,196,196,196,197,201,147,167,199,201,182,163,157,146,128,119,127,142,130,95,74,64,28,162,202,194,197,195,196,196,197,198,195,203,173,149,200,196,168,155,157,139,134,120,109,120,117,81,67,31,89,205,196,194,198,196,197,197,199,200,197,200,188,162,196,197,173,167,173,148,137,116,96,99,106,79,48,46,182,200,197,198,199,199,197,197,199,200,199,201,193,168,199,203,184,173,184,155,133,115,92,85,94,78,30,136,208,198,200,200,201,201,197,197,199,200,198,201,194,157,196,202,192,178,178,151,130,111,95,81,90,65,40,184,203,200,202,200,200,200,197,196,198,198,199,203,194,152,194,200,192,176,167,148,126,111,99,77,84,54,62,198,194,203,201,201,201,201,196,195,195,196,198,202,191,168,193,201,192,178,163,147,130,109,100,78,76,44,83,215,195,201,201,202,201,201,197,197,195,197,198,200,183,182,194,189,188,173,161,146,130,109,98,75,69,40,103,215,195,200,200,201,201,201,198,198,197,198,199,200,180,178,188,185,186,163,152,142,130,108,91,67,63,36,128,204,194,199,199,199,200,200,199,198,196,198,201,201,176,172,185,189,186,160,140,134,127,108,87,61,56,35,157,201,197,200,200,200,200,200
12,167,167,169,172,173,173,174,177,178,178,178,178,177,177,176,175,174,175,174,173,173,172,172,171,170,168,168,169,168,169,171,173,174,175,177,178,180,179,179,179,179,179,179,178,177,175,176,175,175,174,173,172,171,170,169,169,170,171,173,174,176,178,179,180,181,180,181,181,180,180,179,179,180,178,177,177,175,176,174,175,173,173,172,170,171,172,174,176,178,179,180,181,182,182,181,182,184,183,182,182,182,184,180,178,177,177,177,176,175,174,174,173,172,174,176,177,180,180,181,184,185,185,183,184,179,184,187,181,166,157,179,184,184,181,178,179,176,175,175,174,173,175,178,179,181,182,183,185,185,185,187,186,155,128,175,188,149,86,112,181,156,174,185,178,179,179,177,176,175,178,180,181,183,186,187,187,188,185,196,200,157,101,104,186,132,105,67,134,120,82,146,186,178,179,178,178,178,179,181,185,185,187,189,188,187,185,197,190,142,100,77,185,143,117,73,116,125,75,69,172,182,179,179,180,179,180,183,186,187,186,187,189,198,154,160,189,131,88,72,199,190,134,95,113,113,83,60,158,188,180,181,180,180,182,184,186,187,189,188,216,203,161,122,180,176,93,61,222,213,124,101,158,129,89,58,166,189,181,183,182,182,184,186,188,190,189,201,235,204,175,102,174,215,103,73,160,154,76,133,190,128,77,60,177,189,186,184,183,183,186,187,187,192,187,209,221,204,170,101,121,171,103,85,98,140,120,150,149,84,46,86,194,187,188,186,185,185,187,188,190,191,193,229,209,173,132,99,58,73,73,96,115,168,200,160,117,89,48,152,197,187,189,188,187,186,187,191,194,189,219,225,201,142,100,88,57,28,112,197,192,182,167,140,127,126,65,164,197,189,190,188,188,187,188,192,195,189,224,231,185,135,135,98,35,100,213,212,199,174,160,128,119,111,66,169,200,191,191,189,188,188,189,193,195,192,229,232,176,132,161,110,102,198,225,213,198,173,151,134,110,91,63,184,197,194,193,191,191,188,190,193,195,197,236,230,194,179,149,156,185,220,219,209,190,169,142,128,101,78,55,179,200,195,194,192,192,189,192,195,195,201,237,229,208,201,163,155,193,220,213,197,185,158,130,116,94,72,48,170,204,195,196,194,194,192,193,195,197,200,233,230,215,205,169,167,201,208,200,182,172,145,122,106,83,63,47,185,203,197,198,195,195,192,194,196,199,200,227,227,220,203,174,158,193,194,184,177,162,131,108,90,76,41,110,208,197,199,197,196,196,193,194,197,199,196,223,225,218,201,164,153,173,178,176,164,147,115,95,85,55,90,204,202,199,200,199,198,197,194,195,196,204,207,215,221,217,179,141,154,169,174,178,160,135,115,98,68,91,202,204,200,200,201,199,199,198,193,194,202,179,162,215,206,190,168,163,172,170,184,181,155,120,113,86,58,184,211,202,202,201,201,200,200,198,194,195,209,119,38,187,221,197,192,181,162,154,181,169,129,106,102,54,140,216,203,204,204,202,202,201,200,199,194,203,176,92,72,86,186,201,188,170,150,137,162,138,107,97,63,101,217,206,207,205,206,204,204,202,201,201,193,209,129,76,98,47,70,105,98,93,89,93,115,103,90,70,63,201,212,206,206,206,207,206,205,203,202,202,197,190,95,80,92,65,16,54,48,44,34,30,31,39,47,28,58,193,211,207,207,207,206,206,204,203,203,203,203,143,80,83,88,77,6,36,51,46,35,33,29,25,20,16,1,140,221,204,208,206,205,205,203,202,203,202
23,157,157,158,158,159,159,160,160,159,160,161,161,160,160,160,160,160,160,160,160,160,158,158,157,157,156,154,153,160,160,160,162,162,163,163,164,164,164,164,164,163,163,163,163,164,164,163,163,162,161,160,160,159,159,157,155,163,164,165,166,166,167,168,168,168,168,167,167,167,167,166,167,169,168,166,165,165,165,163,163,162,161,160,159,167,167,168,170,169,169,171,172,171,171,178,169,171,174,170,145,161,174,170,169,169,168,166,166,165,164,163,162,171,171,172,173,173,173,174,176,173,179,205,183,171,184,172,144,116,159,176,173,172,171,170,169,168,167,166,165,174,174,175,176,176,176,178,179,176,196,195,167,110,129,120,140,140,126,147,177,175,174,173,172,172,171,170,168,177,177,178,179,179,180,180,181,182,205,184,157,99,155,165,149,123,107,118,180,178,176,177,176,175,174,173,171,179,180,181,181,182,183,183,182,191,194,189,137,149,183,151,178,174,164,175,184,180,180,179,179,178,177,176,175,182,183,183,184,185,186,186,186,194,188,193,196,202,179,114,147,195,188,186,186,185,184,181,181,181,180,179,178,184,186,186,187,188,181,170,175,180,187,189,187,183,169,110,97,166,190,188,187,187,186,185,184,182,181,180,180,187,189,188,190,186,167,144,152,161,164,161,159,154,139,105,55,70,165,194,190,189,187,186,187,186,185,183,182,188,190,190,189,192,184,180,170,175,167,155,150,132,85,76,51,50,145,199,192,192,191,189,189,189,188,186,185,190,191,192,190,188,192,191,181,159,119,114,119,117,72,71,52,63,179,197,194,194,194,192,192,191,189,188,187,193,194,195,193,178,182,197,181,120,89,55,99,126,74,71,55,96,202,198,197,197,195,195,194,193,192,190,189,195,195,198,196,178,176,201,177,104,57,44,119,131,78,66,44,112,207,199,199,198,197,196,196,195,194,192,190,196,197,199,198,179,173,204,183,124,66,62,106,85,67,54,47,97,205,201,200,199,199,199,198,197,196,195,194,199,199,201,199,177,176,212,188,128,84,43,39,35,42,49,58,91,205,202,201,201,201,200,199,198,198,196,196,200,200,201,198,171,187,215,187,132,97,54,33,45,53,59,65,109,209,204,202,203,202,201,199,199,199,199,198,201,203,203,199,173,190,207,188,138,103,80,61,74,75,74,69,123,213,205,205,203,203,202,201,201,201,201,200,203,206,206,205,176,180,192,173,130,105,93,70,81,81,78,70,147,214,206,207,206,205,204,203,202,201,200,200,205,206,208,208,180,173,176,159,135,128,99,75,81,81,79,76,185,214,208,207,208,207,207,206,204,202,202,200,206,207,209,210,185,177,175,158,140,128,97,79,82,85,75,111,214,212,210,208,209,209,208,207,206,205,203,201,207,208,209,211,190,189,174,156,132,111,90,82,83,85,85,186,217,212,211,210,210,209,208,207,207,206,205,204,208,208,210,209,195,201,181,162,142,111,86,78,79,85,176,220,215,213,213,213,212,211,209,208,208,207,206,205,208,209,212,207,197,200,179,165,146,104,79,75,71,153,223,217,216,214,214,214,213,213,212,210,210,208,207,206,209,211,214,208,195,181,167,153,129,84,71,73,84,206,218,217,216,215,215,215,214,214,213,212,212,209,208,207,210,212,213,205,196,168,156,150,140,82,74,74,115,220,218,219,217,216,217,217,216,215,215,213,212,211,209,209,210,212,212,203,204,171,153,164,164,88,78,74,131,226,219,219,218,217,218,217,216,216,215,214,213,214,210,202
6,187,189,190,192,194,194,196,196,196,196,196,195,194,193,192,192,190,189,188,187,186,185,182,180,179,177,176,174,187,189,192,195,195,196,196,197,198,198,196,196,194,195,194,194,193,191,188,188,188,187,185,182,181,179,177,175,189,192,195,196,196,197,199,200,200,200,198,198,198,196,195,194,194,193,192,190,188,188,187,184,182,180,178,177,190,193,196,197,197,199,200,201,201,201,200,199,198,198,196,195,195,195,194,192,190,188,187,185,183,182,180,179,192,195,197,197,199,201,201,201,202,202,201,200,200,199,199,197,196,196,194,193,192,189,188,186,184,183,181,180,191,195,198,199,201,202,201,202,202,202,202,202,202,201,199,199,197,195,194,194,193,191,190,190,187,183,183,181,192,195,198,200,202,202,202,202,202,202,202,201,202,202,201,202,202,201,199,196,197,196,194,188,184,180,179,180,194,196,199,201,202,202,202,203,203,203,207,207,207,206,202,196,188,174,162,148,136,145,147,138,126,142,165,150,194,198,200,201,201,203,205,208,207,204,192,178,167,163,157,152,144,137,128,120,110,124,122,125,123,125,138,120,194,197,201,204,206,200,189,178,171,161,146,137,131,134,138,146,145,138,119,111,103,99,100,105,102,103,122,156,198,200,198,189,178,156,144,143,141,138,135,122,104,107,112,102,100,101,106,117,130,146,156,166,170,179,189,190,180,164,155,153,152,147,145,145,144,143,141,131,94,75,67,114,154,171,189,199,206,205,202,200,198,193,188,186,159,152,155,160,158,154,153,154,153,153,150,136,98,83,77,162,207,218,212,202,199,196,195,195,193,191,189,188,162,160,156,155,152,150,147,144,145,149,137,109,84,86,94,83,93,131,184,209,201,200,198,196,194,191,189,189,165,160,156,153,150,145,140,137,132,130,118,95,83,89,96,97,92,78,79,155,208,200,199,196,195,193,192,190,161,157,153,149,147,141,137,134,131,138,135,107,76,70,85,101,103,101,85,92,206,201,200,199,195,194,192,189,156,151,147,141,138,135,133,128,131,143,145,111,80,73,68,64,75,92,73,127,212,201,200,199,196,195,193,191,152,147,138,132,133,129,127,118,120,128,114,91,85,89,89,77,60,79,146,203,206,203,201,200,198,195,194,192,139,139,133,126,123,121,117,108,105,110,95,74,77,88,91,88,77,96,213,207,204,202,201,200,198,196,194,193,130,137,132,125,119,117,115,111,114,118,101,69,60,72,85,92,81,71,193,208,203,203,201,200,199,198,194,193,118,130,133,130,122,113,109,114,122,117,96,79,83,81,70,72,86,146,212,206,206,205,203,201,199,197,194,193,86,98,111,120,117,110,106,105,102,89,79,76,78,81,62,108,204,214,209,208,206,204,203,201,199,197,194,194,27,100,148,115,97,101,106,112,113,127,146,143,111,89,106,191,219,207,210,208,206,205,203,201,201,200,197,194,19,168,222,204,192,198,204,210,213,220,222,222,217,205,217,214,208,209,209,207,205,204,202,200,199,198,196,193,67,202,202,205,210,211,211,211,212,210,210,210,212,214,210,208,208,208,207,206,204,202,201,199,197,196,194,192,156,208,202,204,206,208,208,211,213,213,213,213,212,211,211,209,209,208,206,206,204,202,200,199,197,196,194,193,202,200,203,205,207,208,210,211,213,213,213,213,212,213,212,210,209,207,206,206,204,202,201,199,197,195,193,192,195,201,204,205,206,208,210,211,211,212,212,212,212,212,212,210,208,207,206,205,204,202,200,197,197,195,192,191
10,15,70,53,0,1,35,39,46,55,67,86,95,104,112,117,122,124,126,128,133,137,141,142,144,147,150,150,151,24,77,44,0,10,37,40,49,56,66,88,97,105,112,117,123,125,127,134,135,140,142,144,146,148,151,152,154,38,80,31,0,18,37,42,49,58,71,89,98,109,115,121,122,133,129,116,139,140,143,145,147,150,151,154,157,55,82,18,0,25,37,44,50,58,75,92,100,110,117,124,119,158,128,78,141,141,143,147,149,151,152,155,159,66,82,4,0,30,37,45,52,59,79,95,102,111,119,124,121,162,142,75,135,145,145,149,150,153,155,158,159,69,84,0,0,33,39,47,55,63,81,95,104,113,119,125,123,158,148,68,123,149,146,150,152,155,157,159,159,76,84,0,0,34,39,47,54,63,84,97,106,113,119,125,127,150,158,84,101,156,147,151,154,158,158,160,162,83,78,0,0,36,39,48,57,65,85,102,109,115,121,129,128,142,161,98,75,156,149,152,156,159,160,161,164,90,70,0,7,37,41,46,56,64,121,102,68,115,122,127,131,137,151,112,59,140,155,155,157,161,162,163,165,96,59,0,13,39,39,58,64,72,139,92,46,81,129,127,132,135,164,135,54,114,160,154,158,161,162,165,167,102,45,0,22,32,61,138,66,54,114,115,67,46,121,130,135,131,185,157,65,88,163,153,160,161,163,166,168,105,28,0,29,36,61,103,47,27,70,137,99,42,91,143,133,134,180,143,79,69,163,155,161,164,166,167,169,104,13,0,32,40,44,58,57,36,51,134,102,55,39,101,137,142,162,131,88,55,154,160,161,166,168,168,170,106,0,0,39,40,48,55,64,65,53,128,107,59,35,31,84,141,136,124,101,49,141,165,162,166,170,172,173,104,0,0,43,42,49,57,65,81,90,153,137,82,44,30,28,71,94,112,101,52,132,167,163,167,170,172,173,96,0,0,41,42,49,59,64,78,130,177,150,108,56,33,15,32,55,89,94,47,118,171,164,168,170,172,174,88,0,3,43,43,50,57,66,156,168,162,160,128,82,46,32,38,63,75,81,39,96,174,165,169,172,173,173,76,0,13,45,44,52,52,88,190,173,162,159,147,112,63,41,42,53,67,67,33,89,176,163,170,174,174,175,60,0,21,45,45,52,54,83,195,173,163,170,148,118,64,39,31,40,58,53,26,125,175,165,171,174,175,177,44,0,27,45,46,53,59,69,152,105,170,178,139,107,59,40,33,46,60,44,54,165,168,171,172,173,176,177,25,0,32,45,47,54,60,66,105,79,196,160,126,105,68,49,38,47,56,34,107,173,165,172,172,173,176,177,7,0,38,45,47,54,64,62,143,167,191,163,122,99,75,53,45,45,47,42,152,169,168,171,173,174,177,178,0,0,41,44,46,55,61,72,184,191,189,150,125,83,75,57,49,43,32,82,172,166,171,172,173,175,178,180,0,0,42,43,46,56,55,92,204,188,177,137,120,73,66,61,52,39,33,144,169,168,172,174,174,177,180,181,0,0,45,43,47,56,57,90,201,191,163,123,105,69,59,58,55,28,77,171,164,169,171,174,175,177,180,181,0,0,46,44,48,57,57,92,207,180,156,114,96,69,58,53,48,20,121,171,166,168,170,173,175,178,179,181,0,8,47,44,48,58,58,98,192,161,160,126,109,78,53,46,33,30,144,165,166,169,170,174,178,180,180,182,0,13,47,44,49,57,62,85,154,157,168,152,123,84,52,38,21,48,160,163,167,171,172,174,178,180,180,183
11,181,183,186,187,188,189,191,192,192,193,193,193,194,194,195,196,195,194,194,194,193,192,192,192,191,189,187,187,183,185,187,188,189,191,192,193,194,194,195,197,197,189,195,198,197,196,196,196,195,194,194,193,193,191,190,189,185,187,189,190,191,193,194,195,196,197,197,205,200,169,190,199,198,197,198,198,198,197,196,196,195,194,192,191,187,188,191,193,193,194,196,198,199,199,200,215,199,155,185,199,199,199,199,200,200,199,199,198,197,195,194,193,189,190,193,194,195,196,198,200,200,200,207,226,190,152,189,200,201,201,201,201,201,201,200,199,198,197,196,195,191,192,194,196,196,198,199,201,202,202,218,229,173,157,195,202,202,203,203,202,202,202,202,201,200,199,198,197,193,194,196,197,199,200,200,202,203,207,232,223,162,172,202,204,204,205,205,204,203,203,203,203,201,200,199,199,195,196,198,199,201,201,202,203,204,219,239,205,155,185,206,207,207,207,207,206,205,205,206,204,203,202,201,200,195,197,199,201,202,203,204,205,213,237,234,179,155,197,208,208,208,208,208,208,207,207,207,206,205,203,202,202,197,199,200,202,204,205,206,207,226,248,222,156,166,205,209,209,209,210,210,210,209,209,208,207,207,206,204,203,199,201,202,204,205,207,208,212,237,249,208,152,186,208,209,210,210,210,211,211,211,210,209,208,207,207,206,205,201,202,204,206,207,208,209,220,246,249,212,186,206,194,203,212,211,212,212,213,213,212,210,210,209,208,208,207,202,203,205,207,208,209,212,232,252,252,241,223,197,161,186,212,213,213,214,214,214,213,212,211,210,209,209,208,202,204,206,208,211,217,227,245,254,252,242,203,156,138,172,211,214,215,215,215,215,214,213,213,212,211,210,209,203,205,208,216,231,241,248,253,252,237,212,177,136,129,160,208,215,216,216,217,216,216,214,214,214,213,211,209,204,206,211,231,249,252,254,254,247,209,161,147,131,130,150,203,217,217,218,218,217,217,216,215,215,214,213,211,206,208,218,243,251,251,253,249,233,193,145,131,128,130,146,200,218,219,219,218,218,218,218,217,216,215,214,214,208,210,228,250,252,250,242,222,200,191,157,130,125,129,148,201,219,220,221,220,219,219,218,218,217,216,216,215,209,214,239,253,249,231,201,166,154,190,173,136,123,133,162,209,221,221,222,221,220,220,220,219,218,217,216,216,210,222,247,251,234,195,152,117,123,187,175,134,135,171,201,219,222,218,215,211,211,215,219,220,219,218,217,217,213,232,251,245,217,175,135,108,139,179,143,114,134,183,204,204,195,180,167,160,160,171,197,217,220,220,219,219,219,243,252,236,198,154,119,101,126,136,103,94,100,119,139,146,147,143,138,138,135,131,146,191,219,221,220,220,231,250,248,221,174,133,106,94,97,99,94,96,99,103,115,132,143,149,147,147,143,134,128,162,214,220,220,220,247,252,240,202,159,124,99,91,92,97,103,108,114,119,132,144,152,158,163,169,179,180,170,185,217,220,219,214,254,251,230,188,149,117,94,94,103,114,123,126,129,133,144,155,174,194,208,215,220,221,219,220,223,221,213,184,254,246,216,175,140,112,97,108,123,134,140,141,137,140,160,189,215,225,227,227,227,227,226,226,222,203,171,135,252,236,200,163,134,112,105,124,138,142,143,144,145,173,206,222,228,228,229,229,228,228,227,221,192,150,121,105,247,224,186,153,130,113,109,128,139,141,141,141,166,212,227,229,229,229,229,230,230,229,226,199,149,120,106,98
21,132,138,143,144,147,151,155,158,160,163,164,166,167,169,170,170,170,171,171,171,170,169,169,167,166,166,165,165,133,138,143,145,148,152,156,159,162,164,165,167,169,171,172,173,172,149,163,172,171,170,170,170,169,167,166,166,134,139,144,146,150,153,157,160,163,166,167,168,170,173,173,179,181,113,132,174,172,172,172,171,169,168,168,168,134,140,144,146,150,155,159,161,163,166,168,169,172,174,174,182,179,112,129,177,175,174,173,171,168,170,170,170,136,142,145,146,151,156,160,163,164,166,169,171,173,174,175,186,175,116,131,178,176,176,174,159,131,161,172,170,137,142,146,148,153,158,161,165,165,168,171,173,174,175,176,189,175,118,133,181,178,178,172,144,102,152,174,172,137,143,147,149,153,158,162,166,168,170,172,174,176,177,178,191,175,124,134,181,179,177,169,138,105,165,175,174,137,143,148,150,153,158,162,166,169,172,174,175,177,179,179,191,173,125,129,181,179,176,164,129,117,175,176,175,137,144,149,150,155,159,164,167,171,173,174,176,179,180,179,193,175,127,122,182,180,175,160,120,139,179,177,176,139,145,148,151,157,161,166,169,172,174,176,178,179,181,180,201,181,125,125,183,179,169,152,110,159,179,178,177,139,146,150,153,158,162,165,169,172,174,176,178,179,181,182,202,172,119,133,184,174,167,134,112,174,180,178,178,140,148,152,153,158,163,165,169,172,174,176,180,179,171,179,191,151,107,132,184,176,165,117,134,183,181,180,180,140,148,152,153,159,164,166,170,173,176,178,185,167,137,141,156,119,95,133,181,179,153,107,161,185,182,181,181,142,149,153,154,159,164,167,172,175,177,179,185,165,131,116,99,90,97,139,169,167,130,113,180,186,183,183,182,142,149,153,155,160,165,168,173,175,177,183,186,177,167,146,111,79,99,130,145,141,107,136,189,186,186,185,184,142,150,153,156,162,165,169,174,177,178,190,200,192,204,173,129,86,85,102,114,115,97,162,190,187,187,187,185,144,151,154,156,162,166,170,174,177,181,184,176,187,193,164,117,90,82,88,97,99,105,181,190,188,188,187,186,145,151,154,156,162,166,172,175,178,187,176,148,174,150,152,128,101,88,81,86,88,116,189,190,189,188,187,187,144,150,153,157,162,167,172,176,178,190,191,159,132,101,141,147,116,93,85,81,83,119,191,192,190,189,188,187,145,151,154,157,163,168,172,176,179,192,181,140,117,103,124,161,132,107,92,86,81,113,192,193,192,191,189,189,145,152,153,157,163,168,173,177,180,198,181,155,149,130,154,185,145,127,103,89,85,116,192,194,192,192,190,190,146,151,153,157,164,169,174,178,181,204,187,171,149,148,205,195,150,135,111,94,89,122,194,195,193,193,192,190,146,151,154,159,164,169,174,179,182,204,201,176,147,177,213,182,144,129,114,99,93,127,194,196,195,195,194,192,146,151,154,158,163,168,174,178,181,205,205,167,156,184,206,176,149,124,113,102,94,141,196,195,195,194,193,192,145,150,153,156,161,168,173,175,178,199,188,162,166,178,203,176,158,131,105,100,95,151,196,195,195,194,192,191,145,150,152,156,162,168,173,176,178,192,177,177,173,172,201,174,150,131,106,100,98,160,197,195,195,194,193,192,144,150,152,156,163,169,174,177,180,186,182,197,173,174,192,162,135,118,105,99,101,169,198,196,195,194,194,193,144,150,152,156,162,169,174,177,180,183,187,190,165,159,178,152,123,107,101,95,101,176,197,196,196,194,194,194
19,110,113,116,120,124,127,129,131,134,135,136,139,139,140,140,140,142,141,140,140,140,138,138,139,138,137,137,137,111,115,118,121,124,128,130,132,135,136,137,139,140,140,141,143,142,141,140,141,141,141,141,140,139,138,138,138,112,115,120,123,126,129,131,133,135,137,140,140,140,141,143,143,143,143,143,142,142,142,141,141,141,141,140,139,112,116,121,125,128,130,132,134,136,137,140,141,142,144,144,143,143,143,144,144,144,143,142,142,141,141,142,140,114,117,121,125,129,131,133,135,136,139,140,142,144,143,145,147,144,145,146,146,144,144,144,143,143,142,142,141,114,117,121,126,130,133,135,136,138,141,141,141,149,140,99,131,149,145,147,147,145,145,144,144,144,143,142,141,115,119,123,127,131,134,136,137,139,141,143,140,159,147,80,80,152,146,148,147,146,146,146,145,144,144,143,142,116,119,124,128,132,135,137,139,141,141,144,142,164,153,94,58,141,151,148,147,146,148,148,146,146,145,144,144,117,121,125,130,133,136,136,138,143,145,146,142,159,141,95,51,124,155,148,149,148,149,148,144,144,147,145,144,118,121,126,130,133,135,141,143,114,102,119,128,119,110,99,85,97,114,120,114,111,120,102,129,147,132,147,146,118,121,126,130,135,134,152,138,102,100,104,111,118,113,110,101,94,104,123,110,107,113,103,149,155,100,148,147,119,123,128,132,133,144,152,141,114,75,72,75,99,102,104,90,87,90,98,97,94,92,93,108,106,114,152,146,119,124,128,132,135,154,162,149,109,60,52,61,62,62,66,59,58,70,80,84,84,90,97,109,132,150,148,148,119,124,129,131,151,160,163,133,98,70,57,66,69,64,36,70,134,147,150,149,152,157,156,156,155,149,148,148,120,126,127,145,165,163,166,146,107,67,55,55,74,74,55,49,129,163,153,155,155,154,153,151,152,151,150,149,122,125,132,162,163,164,172,155,106,62,51,47,59,78,70,51,42,149,158,155,156,156,154,154,153,153,152,151,123,123,152,165,164,170,170,153,107,65,52,60,56,51,53,65,39,129,164,155,157,157,156,155,154,153,153,152,119,137,167,164,166,168,165,152,116,71,50,48,68,63,44,34,54,155,159,158,157,158,157,157,155,154,153,153,123,160,165,164,166,163,165,160,131,72,53,42,56,67,61,27,105,170,155,158,158,158,157,157,156,155,154,153,154,168,163,165,161,161,167,153,114,76,60,54,50,46,60,39,139,165,158,159,159,159,158,158,157,155,155,154,170,160,164,159,151,150,148,130,97,85,78,68,62,47,33,60,159,161,159,160,159,159,159,158,158,156,155,154,161,158,157,151,148,145,136,124,106,88,77,75,68,57,30,123,171,159,160,161,161,160,160,159,158,157,157,155,155,152,154,148,147,146,136,122,124,106,72,64,70,63,39,138,169,161,161,161,161,161,160,159,158,158,158,157,151,152,152,142,143,142,130,113,115,94,47,44,68,49,81,169,161,162,161,161,161,161,161,160,159,159,158,157,150,155,142,134,132,128,113,92,79,60,29,40,59,53,145,165,160,161,160,160,160,160,160,160,159,158,157,156,152,150,134,115,112,112,89,65,59,49,44,57,81,138,164,159,160,161,160,160,160,160,160,159,159,158,158,157,141,138,127,103,83,83,71,55,50,130,142,146,162,164,159,161,161,162,162,162,161,160,161,159,159,159,158,157,120,128,124,91,55,38,38,22,95,167,159,161,159,160,161,162,163,163,163,162,162,161,161,160,160,159,158,158
7,160,161,162,163,163,164,163,163,163,163,162,161,161,160,160,158,158,157,156,156,155,155,153,157,132,56,48,58,162,162,163,164,164,165,165,164,163,164,163,162,162,162,164,160,160,159,157,155,157,154,153,158,149,121,103,95,163,163,165,167,167,167,167,166,166,166,164,163,164,157,144,153,155,152,143,143,140,142,161,150,130,93,152,150,165,166,167,168,167,168,168,167,166,165,166,167,168,160,141,145,161,157,141,137,133,135,164,136,121,116,169,123,166,167,168,168,168,168,168,168,171,174,180,180,175,156,147,151,139,130,132,122,123,113,111,129,142,124,119,103,167,168,169,170,170,170,164,168,178,184,183,176,169,163,161,158,138,111,132,140,129,125,116,117,104,123,118,144,168,169,171,170,181,183,171,167,172,175,171,169,168,166,166,153,137,127,133,138,130,130,125,110,94,117,117,123,169,170,172,173,195,188,178,167,168,173,173,171,170,167,164,153,136,124,114,108,102,103,97,93,90,92,105,152,171,172,171,185,198,188,171,153,157,169,172,169,162,150,138,124,111,117,112,114,119,127,129,129,138,145,151,145,173,174,172,196,194,185,160,146,159,154,147,141,130,124,117,107,103,124,176,171,169,170,170,169,166,163,164,134,174,171,183,200,191,180,168,163,156,144,144,148,146,141,137,135,141,96,104,164,169,166,166,164,162,161,161,160,174,172,197,198,193,190,190,179,152,150,154,152,148,136,133,130,125,101,48,102,176,167,168,166,164,163,161,161,170,182,202,198,196,195,196,179,139,140,146,142,137,129,124,118,108,92,58,78,175,168,169,168,166,164,163,161,174,197,201,199,197,194,189,167,143,136,119,103,101,114,124,130,137,118,67,129,174,168,170,168,167,167,164,162,190,202,200,198,197,189,181,167,153,139,123,114,128,153,152,138,142,126,123,180,169,169,169,169,168,167,165,162,198,201,201,199,192,184,176,159,145,152,141,135,149,147,136,129,127,102,123,181,171,171,170,170,168,167,166,164,201,201,199,197,188,176,155,148,162,166,146,139,141,133,129,122,114,78,139,180,173,173,171,170,170,168,167,165,201,200,198,193,182,165,164,172,178,168,152,132,118,106,97,84,80,110,174,175,175,175,173,171,169,169,167,165,200,196,190,184,177,175,177,174,169,157,135,114,89,120,100,112,151,177,178,177,175,175,173,172,170,169,167,166,195,189,183,181,178,181,174,160,157,148,132,101,125,182,182,184,184,178,178,177,174,174,174,174,171,169,169,166,186,181,183,180,175,174,167,157,155,138,100,123,186,181,180,180,179,180,180,177,177,175,174,174,172,171,170,168,179,173,175,174,167,162,157,151,135,99,110,184,182,182,181,180,180,180,179,177,177,177,175,174,173,171,168,165,177,174,169,162,153,150,144,131,97,104,179,184,180,181,180,180,179,180,178,177,176,175,175,173,170,171,172,160,175,168,159,147,136,133,120,90,107,177,186,183,182,182,181,180,179,179,178,177,177,176,174,171,178,153,97,133,160,148,136,122,114,100,82,116,181,187,183,184,184,184,182,180,180,180,179,177,176,175,176,178,160,88,47,52,141,130,123,116,99,98,143,189,186,184,184,184,184,183,182,181,181,180,178,178,182,183,167,122,72,54,50,47,137,134,119,99,98,181,192,184,184,184,184,184,184,184,182,181,181,182,184,176,153,117,75,54,52,55,51,49,153,143,120,89,109,193,183,185,184,184,184,185,184,183,182,180,176,169,137,94,60,43,48,50,47,48,49,49
16,68,65,62,60,61,63,63,66,66,73,89,102,115,125,135,143,147,150,155,156,162,170,175,180,185,189,193,196,68,65,62,60,61,61,63,65,64,73,89,102,114,124,133,144,149,147,151,158,164,167,175,180,184,188,192,195,67,64,61,59,60,61,62,62,62,73,87,100,112,124,133,141,145,170,152,127,152,174,177,175,183,187,190,194,66,63,60,59,59,59,62,63,61,73,87,99,112,120,134,141,182,190,153,118,91,108,157,187,184,185,190,193,68,63,59,58,59,59,60,60,61,72,88,104,102,168,190,185,192,161,128,120,99,66,62,119,183,196,194,195,66,62,59,58,59,60,60,58,60,70,89,86,130,216,185,170,163,140,119,98,89,84,64,47,79,143,176,195,64,63,61,58,58,58,59,59,58,73,77,110,200,180,150,146,134,123,104,77,82,87,73,64,54,54,77,109,64,62,59,58,58,57,59,59,61,65,83,183,180,145,138,123,102,92,77,75,71,86,88,68,69,59,54,52,62,58,57,55,56,53,56,61,50,92,157,159,135,129,110,89,78,67,69,71,47,88,86,96,74,65,58,53,59,57,55,54,56,54,57,49,69,195,160,126,119,102,77,69,59,53,67,52,37,98,91,111,83,72,58,49,56,53,48,48,49,49,55,26,161,215,156,118,85,71,65,56,43,54,55,20,45,104,95,108,88,74,57,50,130,125,122,117,110,108,97,108,214,187,139,92,57,44,43,36,42,53,23,0,63,100,94,116,98,88,66,61,106,103,102,100,98,98,92,195,190,156,104,64,39,35,32,13,19,9,0,0,63,93,95,133,125,104,80,62,97,96,96,97,98,82,131,192,145,111,71,46,31,36,20,0,0,0,0,0,48,94,104,144,128,105,97,56,103,103,103,105,99,104,194,161,107,63,49,36,33,35,17,0,0,0,0,0,20,80,118,151,97,102,103,47,103,106,105,108,88,162,193,121,71,35,31,36,42,44,44,25,0,0,0,0,0,75,158,121,72,94,87,38,105,107,111,97,123,182,129,78,36,65,50,41,47,52,49,49,15,9,15,3,8,152,149,89,65,70,54,39,103,107,103,107,182,132,77,34,58,121,73,75,69,62,57,46,36,33,35,9,116,167,112,70,54,48,37,38,106,106,92,170,156,79,36,41,101,87,66,73,75,64,60,51,39,39,13,52,189,142,87,49,41,33,35,40,105,107,100,146,98,41,45,96,104,89,94,76,57,46,48,41,33,39,30,135,193,143,59,34,32,28,37,35,102,106,106,105,91,86,101,104,106,107,103,96,85,67,79,78,75,92,95,192,192,150,57,18,26,47,43,34,102,104,105,105,106,107,104,103,104,104,105,107,108,109,109,107,109,108,98,195,198,150,69,18,65,53,42,40,100,103,105,104,103,103,103,102,105,105,105,106,105,105,105,104,105,106,95,165,178,136,58,78,138,70,63,59,98,101,103,102,103,104,103,103,104,104,105,106,106,105,106,105,106,108,100,124,145,91,58,102,144,106,73,74,99,101,102,102,102,102,103,103,103,104,104,105,106,106,106,106,106,106,105,106,111,81,82,99,131,164,105,89,98,101,100,103,102,102,102,102,103,104,104,105,106,106,106,106,106,106,104,105,105,106,109,103,103,179,146,123,98,100,101,103,102,101,102,101,103,104,103,104,105,105,105,105,107,107,105,106,105,105,107,110,92,169,177,145,100,99,101,102,100,100,102,102,103,103,102,102,103,103,103,103,105,106,105,105,106,105,107,110,89,152,194,159
10,153,155,158,160,160,162,165,165,167,167,168,168,169,173,176,176,174,174,175,174,175,176,176,175,173,174,175,175,157,159,161,164,165,167,168,170,170,171,171,172,174,176,177,173,176,177,178,178,178,178,178,178,176,176,176,176,162,164,167,168,171,173,173,174,175,176,176,178,178,177,203,149,151,185,180,182,182,182,182,181,179,178,178,177,166,170,173,173,175,177,177,179,179,180,182,182,182,181,216,149,128,192,183,184,185,185,185,184,183,182,181,180,171,173,177,178,181,182,181,184,183,183,186,186,185,186,220,158,121,193,187,188,190,189,186,186,187,186,185,184,176,178,181,184,186,185,187,187,191,189,188,190,189,190,224,170,123,194,192,191,191,192,190,190,190,188,186,186,180,182,186,190,188,188,190,196,187,196,198,198,196,194,227,182,126,195,198,196,195,195,194,193,193,191,190,189,184,186,190,192,192,192,195,208,146,121,184,178,193,201,230,195,125,190,203,201,200,201,199,197,195,195,195,194,188,190,194,195,198,198,201,183,111,67,98,106,141,211,228,200,121,186,208,204,205,203,202,201,199,199,199,196,191,194,197,199,202,201,204,204,129,74,93,91,102,213,242,210,121,188,213,207,208,208,207,205,203,203,202,199,192,197,201,202,204,205,205,213,191,122,165,115,85,199,214,190,118,192,215,211,211,212,211,210,208,206,205,204,197,201,205,207,207,206,212,226,190,107,213,174,104,134,126,142,112,194,220,215,215,215,214,212,212,210,209,207,200,204,207,208,212,207,208,239,199,75,172,205,137,82,85,111,103,197,222,217,218,218,217,215,214,213,210,210,203,206,210,211,222,234,216,236,212,102,98,223,174,107,89,116,95,196,224,219,222,221,220,219,217,216,216,214,206,209,212,214,219,245,213,221,217,146,60,191,213,141,96,110,92,200,229,222,224,223,222,221,221,220,218,217,207,212,215,217,216,206,184,167,255,203,75,113,227,174,114,92,92,194,233,223,225,225,225,225,224,224,219,218,211,214,216,219,221,209,181,143,215,163,64,90,192,191,150,95,85,198,236,228,227,228,227,227,225,224,223,222,214,217,219,219,223,228,178,166,152,75,87,142,174,190,153,97,80,204,238,230,231,231,231,230,227,224,224,225,216,218,221,223,224,239,215,170,145,112,186,235,196,166,141,99,86,213,237,232,232,232,232,230,229,227,226,226,217,221,223,225,226,248,218,193,193,177,245,246,204,151,130,99,108,235,233,233,235,232,232,230,230,230,229,228,221,223,223,225,228,242,232,216,208,193,252,232,193,150,122,95,130,245,233,235,235,234,234,233,232,232,231,229,221,224,225,228,229,239,233,208,206,200,244,216,181,145,118,90,138,249,236,238,237,237,235,234,233,233,232,231,223,226,228,231,230,233,235,223,223,195,224,208,170,138,112,88,145,251,236,239,239,238,238,238,237,234,233,232,224,227,228,231,232,229,227,228,222,188,219,207,162,130,111,91,158,251,238,240,241,241,239,238,238,236,234,234,225,229,230,230,233,233,228,224,206,174,203,200,161,134,115,94,190,250,239,241,240,239,240,239,238,237,237,236,225,229,230,230,233,231,239,214,183,176,200,176,173,155,111,108,233,247,244,244,244,241,242,241,240,240,238,238,226,228,229,232,234,229,246,230,208,199,194,183,191,166,96,150,252,245,247,246,246,246,244,244,243,242,240,239,223,226,229,231,231,220,243,237,221,206,184,187,182,150,90,207,252,244,246,246,245,244,246,246,244,242,241,239
15,150,150,144,98,159,119,38,93,102,102,104,107,111,117,131,142,151,158,161,164,169,174,179,183,186,189,191,192,155,155,142,101,166,111,39,97,101,102,105,109,112,117,133,144,154,159,162,165,171,176,181,184,188,191,193,195,158,160,138,106,173,103,42,101,101,103,106,110,113,118,134,146,156,161,163,167,173,178,183,188,189,192,195,197,161,165,134,112,179,92,46,103,101,104,107,111,113,120,137,146,156,164,166,168,174,179,184,189,192,193,196,198,163,169,129,120,182,82,53,106,101,104,108,112,112,122,137,147,157,164,167,170,176,182,187,190,193,196,197,200,166,173,123,130,182,74,61,108,103,107,109,113,114,122,137,149,159,165,168,172,178,184,188,190,194,198,200,202,169,177,118,139,179,58,60,101,97,100,105,110,113,123,139,151,161,167,170,174,180,185,190,193,197,199,202,203,171,180,116,165,183,125,123,143,135,132,127,120,117,124,138,151,161,170,171,174,181,185,190,194,197,200,202,204,175,177,132,197,165,165,162,186,172,170,171,176,160,146,135,147,157,159,161,178,182,185,191,194,198,203,204,205,175,177,118,162,121,127,127,157,140,136,168,184,162,140,146,174,181,162,134,131,187,188,192,197,200,203,205,207,177,177,108,172,136,77,101,125,121,115,152,169,148,125,160,185,176,174,183,118,133,194,195,197,202,205,206,208,182,174,107,191,153,35,97,108,106,109,112,137,137,157,197,175,163,189,192,170,115,121,200,201,202,206,208,211,187,170,109,197,139,38,104,109,107,105,116,151,154,157,192,158,155,185,173,186,147,100,121,204,206,204,210,212,190,166,115,205,130,37,107,108,106,105,191,178,131,120,128,124,160,169,170,168,150,131,91,116,198,212,210,213,196,160,120,211,118,40,111,108,104,115,200,190,146,111,77,85,163,184,174,134,124,122,111,89,101,194,217,213,203,155,131,215,108,44,113,107,107,95,165,209,176,161,141,147,158,160,149,110,100,107,102,101,87,102,211,216,208,148,141,215,97,48,117,106,105,144,188,192,187,161,143,145,138,135,142,119,99,103,100,96,95,78,138,230,210,141,151,213,87,54,119,97,171,193,177,157,175,147,107,123,120,119,122,107,99,104,102,98,95,94,86,170,213,135,158,212,79,59,119,100,180,160,137,126,142,117,96,100,97,96,97,99,106,118,117,98,92,97,94,93,213,129,171,210,68,65,120,103,124,120,100,121,119,97,92,107,94,83,113,116,125,136,122,92,90,97,98,94,215,126,181,205,60,72,118,106,105,106,105,137,184,148,117,114,111,98,106,118,125,124,109,91,92,99,102,100,213,123,192,202,53,77,118,106,107,108,110,109,128,131,103,85,123,144,89,96,123,117,101,97,98,105,102,99,214,120,207,201,46,83,118,105,105,107,108,111,114,130,142,154,164,146,127,122,110,103,100,102,107,105,101,100,211,120,216,195,40,89,118,105,104,106,107,109,116,136,152,164,178,165,90,110,132,135,125,115,100,87,81,78,204,124,225,186,36,95,117,105,105,105,106,108,116,135,149,160,180,140,81,77,145,122,83,64,50,45,44,35,198,125,232,175,34,99,113,103,103,104,105,107,115,133,149,161,180,119,93,94,50,56,57,46,42,40,36,31,188,133,238,164,33,103,111,101,100,102,104,105,113,132,148,165,169,105,88,93,73,35,64,50,44,40,36,31,181,143,243,153,33,107,110,100,100,100,102,103,112,131,146,166,151,92,90,87,87,28,49,50,39,34,36,31
22,94,98,106,117,127,136,142,146,151,157,161,165,168,171,175,177,177,180,179,179,179,180,178,176,177,176,176,174,94,99,107,120,130,139,145,149,154,159,164,168,172,175,177,179,180,182,183,183,183,183,182,180,180,179,179,177,95,101,107,121,132,141,148,151,157,163,169,173,175,176,180,183,183,184,186,186,185,186,185,185,184,183,183,182,97,102,109,122,133,145,151,153,158,165,172,172,180,180,182,185,186,188,188,190,194,190,189,189,187,190,187,185,97,103,111,124,136,149,154,155,161,168,172,201,152,173,188,187,189,191,196,182,170,197,193,191,191,169,187,188,98,102,111,127,138,150,155,158,164,167,184,233,125,153,195,188,193,193,216,168,108,199,193,205,191,106,159,198,98,102,112,128,140,150,156,159,167,170,188,241,138,147,200,191,195,201,218,141,108,207,197,217,181,99,177,199,99,102,113,130,143,153,157,161,170,173,185,246,161,141,202,196,196,214,217,116,146,212,219,209,131,122,206,195,100,104,115,131,144,155,159,163,172,176,187,253,185,132,202,199,200,209,194,102,175,217,231,195,114,177,208,199,100,104,117,133,146,156,161,165,174,180,186,245,189,125,193,202,207,219,172,90,202,230,201,152,127,209,203,202,101,104,117,133,147,157,164,167,175,184,185,240,214,138,179,207,218,239,154,94,249,245,191,107,170,214,204,205,100,105,118,134,147,159,166,169,177,186,184,235,230,159,166,214,215,225,98,140,255,234,166,112,211,208,210,208,101,105,119,135,149,161,167,170,179,188,187,213,224,145,117,195,202,209,175,230,239,206,115,144,225,210,211,209,103,106,120,136,150,164,168,171,180,188,191,192,222,142,148,205,213,221,244,237,217,154,91,201,219,213,212,211,102,107,122,138,152,164,169,174,179,194,213,156,206,173,178,236,208,229,228,230,190,105,142,231,215,216,213,213,101,106,122,139,152,165,169,174,176,219,224,185,165,171,152,184,207,229,223,201,158,98,188,229,218,218,216,216,103,107,122,139,153,166,171,177,181,215,213,216,204,199,148,83,151,199,196,156,142,96,206,228,222,220,218,217,103,107,125,140,154,167,172,178,181,206,222,191,201,185,141,117,88,101,133,131,117,96,223,227,224,222,220,219,102,108,125,141,158,167,172,179,180,214,213,187,165,154,169,154,124,91,85,80,108,93,221,229,225,223,222,222,103,107,125,143,157,168,174,179,183,209,255,221,160,149,166,177,152,126,119,86,70,83,214,231,226,225,224,224,103,108,125,142,157,168,174,178,186,200,255,210,187,184,215,227,172,145,134,81,57,71,217,231,227,226,224,224,102,108,125,143,158,170,174,178,188,196,255,223,197,227,255,245,193,155,129,78,53,87,232,228,228,227,225,225,102,107,126,143,159,171,174,178,190,194,255,237,199,223,255,217,191,142,120,85,47,115,244,228,230,228,227,226,101,108,126,143,159,169,174,181,192,192,242,251,220,213,255,200,193,171,119,86,46,126,247,229,232,229,227,226,98,106,126,143,159,170,174,181,191,193,223,255,230,196,248,210,186,176,122,78,45,147,247,230,233,231,228,227,96,105,126,143,158,169,171,180,191,200,219,248,233,180,220,204,169,152,102,68,53,192,242,230,232,229,228,227,95,104,125,143,158,169,173,181,193,187,152,222,222,161,164,163,133,110,79,65,83,231,235,232,233,230,229,228,93,102,124,142,158,169,173,179,200,112,3,176,203,138,152,158,139,105,88,59,117,248,233,233,233,230,229,230
0,168,168,168,167,168,169,168,169,169,169,170,172,169,169,169,167,169,169,169,171,170,169,169,171,169,167,168,168,168,168,168,168,169,171,171,173,171,170,167,169,169,170,170,169,170,168,170,172,169,170,171,171,171,169,168,168,170,169,169,170,171,173,173,171,172,173,170,172,173,173,172,173,173,171,171,172,172,171,172,170,172,169,168,168,171,171,171,172,173,174,171,170,166,148,163,174,164,170,175,169,168,175,178,174,176,173,170,172,173,170,169,169,172,173,173,173,173,174,170,177,174,113,70,124,140,119,133,159,146,121,151,167,160,172,176,173,172,173,171,171,171,174,173,174,174,173,175,171,173,116,30,67,151,99,50,120,146,77,50,113,102,86,120,170,174,170,173,172,173,174,174,174,173,171,169,138,157,129,67,51,130,89,37,92,121,65,29,95,97,47,38,101,173,173,172,173,174,175,174,175,173,168,160,129,118,149,107,35,88,91,27,83,109,53,30,107,94,45,44,83,108,185,172,173,174,176,175,176,175,169,160,136,97,106,103,28,73,88,14,70,125,66,25,113,113,50,52,118,68,128,184,173,174,176,176,177,177,169,157,135,99,72,64,35,77,72,2,79,125,51,34,130,124,99,85,94,79,54,175,176,176,176,176,177,176,168,160,151,126,80,57,50,63,50,17,66,95,62,120,138,122,111,86,63,52,45,168,177,176,177,178,179,177,170,167,157,145,118,68,49,43,54,71,69,98,140,151,140,129,102,82,69,42,60,180,177,178,179,179,179,179,172,172,161,153,143,106,55,51,61,70,98,145,155,154,147,131,98,73,65,35,84,191,175,178,178,179,179,178,168,178,169,163,158,134,90,82,74,79,126,152,158,165,153,125,94,70,60,29,128,190,175,179,178,179,180,180,158,175,178,170,166,149,123,113,99,89,128,142,159,169,154,119,89,69,49,53,172,181,177,179,180,180,178,183,159,162,182,181,175,157,141,131,119,106,117,147,165,161,147,109,77,73,40,108,189,177,180,178,180,181,179,184,168,147,179,186,179,165,152,140,131,121,114,134,159,156,137,101,72,68,37,156,187,178,180,180,180,181,180,179,184,137,164,183,184,173,159,150,141,125,114,120,141,141,117,87,69,50,59,183,180,180,180,181,181,182,182,179,189,152,142,181,185,175,153,149,138,124,116,115,128,128,95,73,65,29,115,193,177,181,182,181,181,181,183,184,182,178,133,176,183,164,143,149,133,126,118,102,108,114,85,70,44,61,179,182,180,181,182,182,182,182,184,184,182,182,148,178,182,166,153,161,145,130,115,92,93,99,83,59,38,151,189,182,184,183,183,182,183,182,184,183,182,184,154,179,186,176,159,171,151,128,114,92,84,89,83,39,100,191,180,184,186,184,183,182,182,182,183,183,183,185,147,171,186,181,165,168,147,125,111,94,82,85,79,32,147,189,181,184,186,184,183,182,182,182,182,183,184,187,146,168,187,182,166,158,143,123,109,98,81,78,68,42,168,184,182,183,185,184,183,181,182,182,182,183,184,182,160,173,184,180,168,155,142,126,109,98,84,71,58,54,186,184,183,183,183,184,184,181,182,183,183,184,185,174,166,182,172,175,165,152,140,127,108,96,82,67,54,68,190,181,184,183,183,184,184,181,182,183,184,183,184,171,165,174,171,174,156,144,137,125,107,91,75,65,46,91,187,177,184,183,184,184,183,182,182,184,184,182,186,169,159,171,174,173,155,136,128,121,106,86,65,60,38,122,184,179,184,184,184,184,184
16,185,186,187,190,195,198,201,203,206,209,210,212,214,216,216,217,218,219,222,220,221,222,222,222,221,220,220,221,185,187,188,190,195,199,202,204,207,208,210,212,215,216,219,221,223,223,225,226,226,224,221,222,224,223,222,222,185,187,188,190,195,200,203,205,208,209,211,215,216,214,206,199,193,190,189,194,203,218,229,225,222,223,223,223,187,188,188,191,196,200,203,206,209,207,205,200,190,181,170,158,148,146,145,136,127,133,170,207,229,222,224,225,187,187,188,191,196,199,203,201,209,184,181,172,168,169,164,155,148,136,134,136,124,106,104,112,167,228,225,224,186,187,189,194,196,203,214,216,225,191,183,168,161,166,160,152,147,140,129,131,132,115,111,109,98,171,234,223,187,188,190,195,194,209,230,227,226,201,185,164,153,155,155,153,144,145,133,129,127,116,115,112,115,103,203,232,186,187,190,194,195,203,222,230,226,197,180,151,144,145,144,149,145,140,139,131,126,120,116,111,117,103,136,238,187,188,190,195,194,209,221,235,225,195,163,141,129,134,136,142,143,139,144,140,124,121,124,115,107,118,99,201,186,188,190,194,194,210,224,236,218,186,142,127,109,122,138,147,152,147,149,147,127,120,128,112,110,120,103,135,187,188,191,195,198,203,226,236,209,166,129,125,95,79,139,150,166,164,164,153,131,124,131,112,112,118,118,95,188,189,190,195,199,198,227,232,195,153,121,112,78,50,113,145,165,188,186,165,131,126,132,113,113,119,122,109,188,188,190,194,199,200,223,222,179,147,115,102,95,75,101,126,169,198,187,165,131,128,123,113,114,116,120,120,187,188,191,195,198,201,214,203,164,140,106,110,110,107,112,101,188,192,170,158,137,129,116,115,116,117,119,122,184,186,188,193,195,200,208,192,148,118,98,117,114,108,100,118,200,177,165,154,135,117,116,116,116,119,120,122,184,186,189,193,196,202,218,185,130,117,88,105,110,128,166,194,190,164,161,144,118,108,115,118,117,119,119,120,187,187,190,194,197,204,218,179,125,146,133,151,192,221,221,199,168,159,151,126,105,110,115,119,121,120,119,118,186,187,190,195,197,205,225,176,114,193,222,222,224,223,210,189,152,142,133,128,109,111,116,118,123,122,121,120,185,187,190,195,196,205,220,163,119,210,218,218,220,221,212,175,145,119,145,148,117,116,116,119,123,122,123,122,183,186,190,194,195,206,214,138,136,221,216,218,219,222,215,174,132,125,191,165,134,124,118,120,121,122,123,124,184,187,190,193,195,206,205,120,156,221,215,217,220,221,218,183,108,160,224,177,151,131,123,119,121,123,124,126,181,183,187,193,191,216,197,110,183,218,215,217,220,223,215,193,116,181,237,187,166,144,130,123,122,122,123,125,181,185,188,190,184,231,168,118,200,207,209,211,211,214,206,190,139,163,231,190,177,156,141,130,125,125,125,127,142,141,144,146,141,171,134,122,145,145,146,149,151,151,151,151,140,136,149,150,183,166,151,140,135,129,126,128,134,132,133,135,133,133,133,132,132,135,133,133,135,133,133,134,132,131,128,127,170,176,161,149,140,135,130,128,137,138,139,139,140,140,139,138,140,142,143,141,140,141,140,140,140,139,140,131,155,187,168,155,147,141,136,133,137,138,138,138,140,138,137,139,139,139,140,139,138,139,139,138,143,148,146,141,144,187,178,162,154,149,142,138,139,139,138,138,139,138,138,140,139,139,139,138,138,140,139,138,139,138,139,140,136,184,187,174,164,157,145,139
3,183,185,185,185,185,186,186,186,186,186,186,186,185,185,183,182,180,174,181,178,178,177,175,174,172,171,169,168,186,187,188,188,188,188,188,189,188,188,190,189,188,187,186,185,190,139,164,186,180,179,178,178,175,174,172,170,189,190,191,191,191,191,192,192,191,192,193,193,192,191,189,189,183,124,139,193,182,182,181,181,179,177,175,173,192,193,194,193,194,195,195,196,196,195,194,194,194,194,192,192,182,123,124,194,186,186,184,183,182,180,178,176,196,196,196,197,199,198,199,199,199,198,198,197,197,196,195,195,181,119,118,196,188,188,187,186,184,182,181,178,199,199,199,199,200,201,201,201,201,200,200,200,200,199,198,197,181,125,115,195,191,190,189,188,187,185,182,181,201,201,202,202,202,203,203,204,203,203,204,202,203,201,200,201,189,131,110,195,195,192,191,189,189,187,186,183,203,204,205,205,205,206,206,206,205,205,205,205,205,204,203,201,186,119,110,199,196,195,193,192,192,190,188,186,205,206,207,207,207,207,207,207,207,206,207,207,207,207,206,201,176,133,116,191,200,197,196,194,194,192,190,188,206,207,207,209,209,209,209,209,209,209,210,210,209,209,208,203,188,156,113,177,206,198,198,197,195,194,192,189,207,209,209,210,210,211,211,211,211,211,212,211,211,209,210,204,191,154,102,167,210,199,199,199,197,195,194,191,210,210,210,210,210,211,212,212,212,212,212,213,211,212,210,208,199,155,105,144,215,199,201,200,199,197,195,193,211,211,212,212,212,212,213,214,214,213,214,214,215,209,195,185,179,176,136,160,195,210,202,201,200,198,196,194,212,212,212,213,213,214,215,215,215,215,216,216,209,202,194,153,116,162,172,196,136,183,211,202,201,200,198,195,213,213,213,215,215,215,216,215,216,218,211,196,155,166,196,152,113,125,174,173,114,91,159,210,202,201,200,197,214,214,216,216,217,217,217,216,218,211,202,189,147,123,165,175,134,109,152,159,120,95,98,200,207,202,200,199,215,215,216,217,217,218,217,219,217,204,192,171,167,150,134,181,144,103,107,130,132,102,93,189,210,203,202,200,216,216,216,217,218,218,218,219,214,197,169,135,154,155,120,151,155,107,98,115,147,113,87,181,213,204,202,201,215,216,216,217,219,219,220,221,217,196,182,133,105,137,90,117,150,97,100,113,152,142,89,161,216,204,204,202,215,216,216,217,218,219,220,220,222,200,174,151,125,108,91,113,119,83,108,147,165,155,94,163,217,205,205,203,215,216,217,217,218,218,219,219,224,199,183,178,148,115,115,132,124,114,171,178,164,126,110,205,209,206,204,201,216,217,217,218,219,220,220,220,223,206,177,178,157,132,125,144,182,188,196,166,141,97,158,218,203,204,206,208,215,215,216,218,219,219,220,219,223,213,175,176,161,138,127,133,188,187,173,148,115,96,196,215,213,213,196,165,221,221,221,222,223,223,223,224,224,226,182,158,154,138,131,129,171,173,156,128,91,143,223,197,177,147,107,89,184,188,192,195,199,203,207,209,211,216,203,154,153,146,143,126,147,157,138,101,108,170,132,104,87,80,80,85,127,128,129,129,130,133,133,134,134,133,144,173,152,150,138,118,118,118,98,88,108,98,81,78,83,78,77,75,134,134,135,135,134,134,139,137,138,134,151,193,176,153,127,114,113,112,92,93,94,88,89,74,78,73,71,71,134,135,135,136,135,135,141,139,141,138,165,181,179,159,140,131,120,111,90,91,88,85,80,80,69,69,67,70
19,163,165,166,168,170,170,170,171,171,171,171,171,170,170,170,169,169,168,167,167,167,167,166,165,164,162,163,163,165,165,167,168,169,171,172,172,171,171,171,172,171,171,172,171,170,169,169,169,168,166,166,166,165,164,165,163,165,166,167,168,170,172,173,172,173,172,172,171,171,171,173,172,170,170,170,170,169,167,168,168,166,165,165,165,165,167,169,170,170,171,173,172,173,174,174,173,171,173,173,172,171,171,170,170,170,169,169,167,167,166,165,164,167,168,169,171,172,172,173,175,175,173,172,175,176,172,173,173,172,172,171,170,171,171,170,168,167,166,166,165,167,172,170,172,174,176,176,174,177,180,161,140,161,178,174,175,174,173,172,172,172,171,171,170,168,167,167,166,169,171,173,174,175,176,176,177,177,206,186,153,111,161,180,174,176,174,173,173,172,172,172,170,169,169,167,167,170,171,172,174,175,176,177,180,172,197,209,176,125,98,177,176,177,175,174,174,174,172,173,171,170,169,169,168,172,173,173,176,177,178,179,179,177,183,208,181,137,77,139,186,175,177,175,174,173,172,172,172,170,170,170,168,173,174,175,178,178,179,180,182,176,182,201,172,130,80,109,189,175,177,175,174,175,173,172,171,171,171,170,169,172,174,177,179,178,181,183,180,190,218,193,165,149,107,117,178,176,181,181,177,175,174,174,173,172,171,171,170,174,175,179,180,182,182,181,181,223,210,179,160,170,181,176,164,155,158,164,174,179,177,177,173,173,173,170,171,175,178,179,181,182,184,177,207,219,185,140,118,140,179,197,195,184,171,147,149,153,167,174,178,174,172,171,171,177,181,180,181,182,181,192,231,212,192,162,115,97,131,170,185,192,192,180,168,159,163,152,153,166,176,175,171,179,181,180,183,185,180,217,222,199,182,165,159,138,129,135,144,150,163,176,187,192,196,179,146,139,136,165,176,179,180,181,184,183,192,221,207,172,148,148,140,167,171,154,142,127,111,121,139,150,174,186,177,161,127,122,155,178,180,183,186,184,215,237,215,172,145,138,130,137,173,180,171,152,118,96,141,159,152,152,152,152,152,147,156,181,183,183,182,196,231,233,206,175,160,161,163,157,141,150,166,164,139,122,116,180,185,175,164,153,148,145,147,181,182,184,183,212,230,219,191,167,166,178,177,177,156,94,132,134,139,142,113,161,189,183,184,183,177,169,165,182,184,182,199,225,226,214,177,149,128,160,191,192,188,114,132,110,110,113,129,183,185,184,183,182,182,181,180,182,181,187,221,222,235,214,174,146,130,117,152,165,178,171,148,125,118,109,178,187,184,184,184,182,181,180,178,182,180,201,224,229,237,203,167,155,154,154,142,118,142,186,162,140,114,165,193,184,184,185,185,181,179,178,177,184,185,218,225,233,220,201,174,165,160,159,149,139,133,132,132,124,149,190,186,186,186,184,182,182,182,180,179,180,197,227,225,223,214,198,182,168,168,166,150,132,125,128,104,158,192,188,186,187,186,186,184,183,181,180,180,179,210,226,222,222,209,186,171,151,152,160,150,140,134,122,148,199,189,188,186,188,188,186,186,184,182,183,181,183,219,222,217,214,202,186,154,122,108,115,129,128,131,150,187,193,191,191,188,188,187,187,187,185,183,183,182,198,220,210,202,200,181,153,125,107,84,143,185,172,181,195,192,192,191,192,191,189,187,186,186,184,183,181,181,216,215,194,188,176,151,125,112,106,93,184,201,198,196,193,193,193,193,191,190,188,187,186,186,183,182,182,181
14,194,196,196,196,196,197,197,197,197,196,196,196,196,197,196,194,194,192,191,190,188,188,187,186,185,183,181,179,198,199,199,200,199,199,200,201,199,198,199,200,200,200,199,197,197,194,193,193,191,191,190,188,188,186,183,183,200,201,202,202,202,201,202,202,201,201,201,202,202,200,203,204,201,199,199,199,196,194,192,193,191,190,188,186,203,205,203,204,206,206,206,205,206,204,204,206,205,204,193,183,194,198,194,191,191,197,201,192,194,192,192,190,207,208,207,207,208,208,208,208,207,206,208,209,207,199,181,159,167,172,165,171,165,131,170,209,195,194,193,191,208,209,210,209,210,211,210,210,210,209,207,186,180,193,200,195,189,171,125,137,160,128,95,152,205,200,195,193,211,211,212,212,213,213,211,212,213,211,209,208,203,209,208,199,189,177,155,120,133,147,116,109,152,187,199,195,214,213,214,214,214,214,213,213,213,211,211,196,176,166,154,137,111,114,154,159,159,167,115,122,146,116,195,203,215,215,216,216,216,216,216,215,215,216,209,175,170,174,143,110,91,91,88,120,139,120,86,71,104,72,103,202,216,217,217,216,217,218,217,218,214,196,198,210,207,188,164,144,144,174,114,166,187,156,184,135,74,68,62,117,220,220,219,219,219,219,220,221,213,200,205,198,183,151,129,121,119,109,120,214,220,219,214,227,172,62,82,87,221,222,220,221,221,220,222,223,208,201,193,159,123,69,50,53,51,90,207,217,213,213,214,210,110,94,111,106,222,222,222,222,223,222,221,220,209,197,143,90,55,46,51,56,38,155,233,213,218,214,226,150,93,130,121,92,222,224,225,223,226,224,225,219,212,191,126,69,57,59,63,70,53,175,228,218,218,221,201,104,119,126,112,80,226,225,226,226,227,226,227,219,209,185,128,64,62,63,60,63,54,204,226,220,217,231,142,92,118,120,85,131,228,227,227,228,228,228,230,218,210,170,96,62,78,61,57,59,41,178,244,217,228,200,101,98,105,105,77,197,229,228,229,228,229,230,227,214,210,166,109,91,75,59,60,56,41,61,168,229,225,114,106,114,103,69,148,225,231,231,230,230,229,231,224,213,214,181,125,94,68,61,67,65,67,67,60,128,128,84,112,113,86,110,225,214,231,232,232,231,230,232,225,209,213,175,125,100,69,63,74,82,85,91,96,93,80,98,110,98,86,205,224,216,232,233,232,231,231,233,224,204,207,175,145,102,64,66,76,91,92,98,104,116,112,92,117,81,158,234,218,219,232,233,233,232,231,236,226,198,203,185,145,101,75,63,78,96,98,98,105,120,120,104,89,90,220,225,223,221,232,232,234,234,234,237,226,201,211,186,154,121,86,63,80,99,101,104,112,126,126,111,70,156,237,223,224,223,234,234,235,237,236,238,224,204,214,184,150,116,94,66,75,103,103,108,119,127,122,90,107,236,227,227,225,224,237,237,238,237,237,240,223,207,210,175,143,120,99,75,68,104,102,108,122,122,114,68,164,241,226,228,226,224,236,236,237,237,235,240,221,204,206,169,139,125,103,83,66,94,102,107,117,114,94,79,222,232,228,228,227,226,235,235,236,237,235,241,217,197,201,165,139,126,101,84,67,85,103,101,104,105,59,159,245,229,230,228,227,226,236,236,237,237,236,241,219,192,190,164,138,115,95,83,70,79,97,96,97,70,109,235,229,229,229,228,226,225,237,237,238,238,237,242,216,189,183,162,132,111,96,84,73,78,89,91,75,93,226,236,230,229,230,229,227,224
8,199,201,202,203,204,205,206,207,208,207,206,206,207,207,208,208,207,206,204,202,199,196,195,194,192,192,189,186,202,204,203,205,207,209,210,211,211,211,209,210,210,209,211,209,208,207,206,204,202,199,198,198,194,193,191,188,204,207,207,209,212,212,213,213,212,218,228,182,212,213,213,213,211,210,208,206,206,203,201,200,198,196,194,192,207,208,209,210,213,214,215,216,209,235,240,147,213,217,215,215,214,212,210,210,209,207,205,202,200,200,197,196,209,210,212,213,215,217,217,220,210,246,233,146,220,215,220,221,214,216,213,211,212,207,207,207,203,203,201,199,211,213,216,217,219,219,219,222,213,255,242,156,226,239,206,211,230,206,207,216,210,220,206,196,210,204,203,201,216,217,219,220,220,222,220,223,215,255,239,154,254,255,202,173,255,202,162,217,200,237,202,162,216,206,206,203,217,219,220,221,222,222,221,225,215,255,241,155,255,255,223,163,247,216,145,212,203,224,212,146,215,211,207,204,218,220,221,223,224,225,225,229,220,255,255,203,255,255,235,160,234,224,131,214,204,184,228,158,179,215,209,206,221,222,223,225,227,228,228,229,224,255,255,255,255,255,239,151,215,217,127,223,193,132,207,202,144,186,217,208,221,222,225,227,228,229,229,226,235,255,255,255,255,255,227,141,216,203,132,221,166,121,189,228,141,180,220,209,223,224,226,229,230,231,233,224,253,255,227,231,228,240,245,147,210,196,116,179,154,127,220,238,146,202,218,214,224,228,229,230,231,233,233,226,255,255,205,196,191,201,250,143,214,202,99,183,136,154,253,217,147,219,218,213,227,229,231,232,233,233,236,229,255,255,226,173,183,187,197,185,219,185,132,193,146,221,250,176,153,229,220,221,229,231,233,233,235,235,239,233,255,255,237,186,159,182,205,237,206,200,230,235,228,224,210,150,171,222,211,182,228,231,232,234,235,236,240,233,255,255,248,205,164,176,219,234,244,255,255,255,224,187,166,134,124,125,113,94,228,230,233,233,233,236,238,233,255,255,255,227,181,171,221,255,255,255,255,244,208,165,136,113,111,106,98,93,229,231,233,235,237,238,239,233,255,255,255,245,212,190,226,255,255,255,250,222,183,144,118,109,106,96,95,94,232,234,233,238,240,238,241,236,255,255,255,255,231,200,229,255,255,255,230,193,151,120,102,94,71,59,42,27,232,236,237,237,240,239,242,239,248,255,255,255,230,207,222,255,255,232,205,160,122,98,86,76,60,44,40,22,232,235,237,236,239,241,244,246,251,255,255,250,223,203,218,241,229,202,177,131,102,96,88,68,46,32,34,28,239,241,243,243,245,245,255,207,198,255,233,226,205,193,216,220,197,169,135,97,86,89,91,86,56,27,22,26,202,206,208,211,215,216,238,119,92,255,227,224,203,201,209,199,168,133,95,58,65,79,73,87,81,40,16,18,116,115,111,113,114,115,130,117,41,167,236,224,213,201,187,177,140,103,39,19,37,63,57,70,90,61,24,12,114,114,118,117,115,113,118,134,109,109,173,200,199,177,160,141,106,63,0,0,34,51,48,53,81,75,38,12,121,119,123,124,125,123,130,130,105,113,110,122,147,146,124,120,76,15,0,27,70,75,34,42,67,81,55,21,125,120,123,124,125,123,134,132,104,102,101,90,86,90,90,91,55,0,7,60,85,74,23,33,54,77,67,36,125,121,124,127,128,127,138,127,109,105,101,95,81,70,65,59,52,39,40,41,42,29,8,21,43,65,72,48
21,184,186,189,190,190,191,191,192,192,192,192,186,189,192,189,187,185,184,184,183,182,179,177,176,176,174,173,171,185,188,190,191,191,192,193,194,194,193,197,170,144,192,191,189,188,187,186,186,184,182,179,180,177,176,175,173,186,189,192,192,193,194,195,195,196,195,196,179,129,158,200,190,191,190,188,188,186,184,180,166,179,178,176,175,187,189,192,193,195,196,197,198,198,197,197,188,150,118,195,193,192,192,190,189,188,187,178,122,152,186,177,177,189,191,193,195,196,197,198,199,199,199,199,196,166,107,172,201,192,193,193,191,188,189,170,112,145,189,178,178,190,193,196,196,197,198,199,200,200,201,201,200,183,130,143,205,195,196,194,193,190,189,160,108,161,188,181,180,192,195,197,198,199,199,201,201,201,203,203,203,195,146,122,199,198,197,195,195,193,185,143,109,179,185,182,180,193,197,198,199,201,202,203,203,202,204,204,204,205,156,109,184,202,197,196,196,195,180,134,124,192,184,184,183,195,198,200,200,201,204,204,205,204,206,206,205,206,173,118,164,207,197,198,197,188,164,115,147,195,186,186,184,196,199,200,202,202,203,204,205,205,207,207,205,200,189,141,142,209,197,199,198,179,148,99,175,193,187,186,184,197,198,201,203,203,203,205,205,206,208,209,207,204,200,168,129,190,208,202,199,181,133,114,196,189,190,188,185,198,199,201,204,204,205,206,206,207,209,210,209,206,206,199,157,141,180,191,182,166,115,152,201,190,191,189,187,198,200,202,204,206,207,208,209,209,210,210,210,206,159,162,173,136,135,137,146,122,100,182,197,192,192,190,189,199,200,203,205,207,208,208,210,211,211,211,211,203,148,115,153,149,144,149,152,97,116,205,194,194,193,192,190,199,202,203,205,206,208,210,211,211,211,211,212,187,172,132,130,151,134,139,138,99,123,207,195,195,194,193,190,200,203,205,206,207,210,212,211,212,212,213,191,147,169,143,115,135,95,127,157,117,97,196,198,195,195,193,191,200,204,205,208,210,211,212,213,213,213,211,189,141,148,144,95,108,85,112,163,135,91,153,206,194,195,194,192,202,205,207,209,211,212,212,213,214,214,211,193,146,129,128,82,107,108,161,172,160,105,105,203,195,195,194,192,202,205,208,210,211,213,213,214,216,215,206,178,147,120,113,82,110,149,193,176,152,104,101,201,197,196,194,193,203,205,208,211,212,213,214,215,216,215,204,190,172,132,101,91,131,192,182,161,137,89,116,207,197,198,196,194,204,206,208,210,212,213,214,215,215,216,204,194,177,142,122,120,184,199,170,145,134,83,139,210,197,198,196,193,204,206,209,211,213,214,215,216,216,217,203,191,178,150,121,125,188,186,170,147,129,85,160,210,198,198,196,194,204,207,209,211,212,213,215,216,217,218,202,180,171,148,123,124,179,182,162,141,117,83,178,207,199,198,196,195,204,207,211,212,213,215,215,217,217,218,205,177,175,155,135,126,171,176,154,129,99,90,201,203,201,199,197,195,204,206,210,212,213,215,216,217,217,218,215,187,176,160,140,116,153,155,133,114,76,119,213,200,201,199,197,196,203,205,207,210,211,213,214,215,215,216,216,199,185,164,137,118,132,139,120,103,67,163,210,199,199,197,196,195,203,205,207,210,212,214,214,215,216,216,216,204,185,164,139,129,124,133,131,89,96,205,201,200,198,197,196,195,203,206,208,211,212,214,215,215,216,216,214,205,190,167,154,148,134,135,126,78,151,213,200,200,198,197,195,193
4,197,199,199,200,202,204,205,206,206,206,206,206,206,207,206,207,205,206,207,206,206,206,208,207,206,205,204,204,199,200,201,204,205,206,206,207,207,207,207,207,207,206,207,210,212,209,207,208,211,209,207,208,208,206,206,207,202,203,205,207,208,207,208,207,208,209,210,211,213,213,206,185,174,201,202,173,176,213,213,210,212,210,209,208,205,206,207,208,208,209,210,210,210,210,210,199,193,201,224,213,179,148,156,188,158,132,198,217,213,213,211,211,206,207,208,209,211,212,213,213,213,215,214,212,191,150,154,222,206,151,88,123,169,100,125,228,211,213,213,213,208,209,211,212,212,213,214,210,211,200,215,224,206,159,100,144,211,146,97,64,137,109,104,224,213,215,215,214,210,212,212,213,214,214,213,215,211,156,130,167,213,167,102,61,191,164,116,54,123,137,103,219,219,217,215,217,212,214,215,215,215,213,217,214,215,161,92,75,192,194,122,46,157,215,153,67,116,172,112,217,220,218,218,218,212,215,217,216,217,215,219,186,182,170,128,52,164,222,122,91,170,212,161,91,86,156,138,226,219,219,219,219,213,215,216,218,220,218,220,194,125,171,173,78,112,201,128,83,118,159,152,88,73,102,86,210,225,220,220,221,214,216,218,219,220,219,223,202,162,159,161,100,82,111,108,98,94,112,122,85,93,124,94,138,234,220,223,222,216,217,220,220,221,220,226,219,196,160,122,92,89,102,97,109,113,105,99,87,159,169,154,112,199,231,222,222,219,220,221,221,222,221,228,218,183,160,129,108,110,115,117,134,136,140,152,147,163,193,178,128,124,235,223,225,219,220,221,223,223,222,228,213,169,142,126,111,125,136,157,168,183,202,221,215,185,177,150,114,78,194,234,223,219,220,222,224,224,223,228,218,181,152,133,122,142,143,182,215,197,215,215,210,196,170,136,99,76,150,243,223,220,222,224,227,226,225,227,232,200,166,137,129,140,148,206,215,204,213,212,205,186,166,135,103,74,174,238,225,221,223,226,227,227,227,225,232,211,180,150,129,139,159,210,215,214,221,218,203,189,168,131,95,91,223,231,228,222,224,226,226,227,228,226,231,225,194,161,133,158,160,201,219,226,231,225,211,189,152,123,83,142,245,230,231,224,225,226,227,228,229,227,229,232,206,170,146,172,171,191,222,232,234,238,223,180,140,115,81,196,240,230,232,224,226,227,228,229,231,228,224,229,223,175,156,174,181,199,223,236,241,243,214,165,138,99,103,236,233,234,232,226,227,228,229,231,232,232,220,217,223,187,163,174,179,204,227,231,244,225,185,151,134,83,153,249,232,235,234,227,228,228,229,232,232,235,215,212,223,203,175,169,177,200,226,223,222,197,167,142,119,80,211,242,233,235,234,228,228,229,230,230,230,236,223,206,223,213,192,177,180,196,215,217,195,176,152,125,89,137,248,235,235,235,234,228,228,229,229,230,232,233,234,207,205,208,199,187,184,184,189,193,173,152,123,94,97,227,240,237,238,237,236,225,226,227,228,228,230,231,236,214,200,207,196,188,183,169,169,178,161,133,106,71,169,249,233,236,238,238,236,226,226,226,228,229,231,232,237,217,206,202,188,181,176,159,154,164,148,107,93,81,220,241,236,236,236,236,235,228,228,229,230,231,232,232,235,221,206,190,162,169,168,160,158,152,131,102,83,110,242,236,238,238,236,237,236,228,228,231,231,232,232,232,236,225,207,200,175,190,186,175,163,148,130,112,75,139,247,236,239,238,237,236,236
11,128,133,138,141,145,148,151,154,155,158,160,161,163,165,167,169,169,171,173,173,174,175,175,176,176,175,175,175,129,135,140,143,147,149,152,154,157,159,161,164,165,167,169,170,170,172,173,175,176,177,177,177,176,176,177,177,130,135,141,146,148,151,153,156,158,160,162,166,168,169,170,170,175,176,175,177,178,178,178,178,177,177,178,177,131,136,142,145,149,152,154,157,159,160,164,166,168,170,170,172,157,171,177,178,178,178,178,179,179,179,179,179,132,136,142,145,149,152,154,157,161,163,165,168,169,171,171,180,131,133,184,177,179,179,180,181,181,180,179,179,131,136,142,147,150,153,155,158,161,165,168,169,170,172,170,188,134,121,186,178,181,181,181,181,181,180,180,180,133,137,143,148,152,153,156,158,161,165,168,169,171,173,173,191,115,132,187,179,181,182,183,183,182,181,181,181,134,139,144,148,152,154,156,159,162,166,168,170,171,170,181,190,109,148,187,181,183,184,183,183,183,183,183,182,134,140,145,148,152,155,157,161,162,165,168,170,171,172,192,165,104,163,186,182,183,183,184,184,183,183,183,183,134,140,146,150,153,155,158,161,163,166,169,169,169,171,190,125,106,180,183,182,183,184,184,184,183,184,184,183,134,140,145,150,155,156,159,162,166,166,165,177,188,132,128,109,124,189,180,183,184,184,184,184,184,184,184,183,135,140,145,149,152,156,163,161,152,183,163,132,161,131,98,96,157,187,181,184,184,184,185,184,185,185,185,184,135,140,147,148,160,191,191,170,105,148,161,101,132,127,90,92,179,183,183,185,185,185,185,185,186,185,184,185,135,140,145,154,186,162,176,172,104,137,142,100,156,121,76,112,191,182,184,185,185,185,187,187,187,186,185,184,136,142,143,167,164,137,154,166,103,136,123,107,154,105,68,132,192,181,184,184,185,186,186,187,186,187,186,184,137,143,146,183,154,117,130,153,94,124,105,116,136,93,68,145,190,181,183,184,187,188,189,187,185,187,186,185,138,138,162,189,155,123,130,114,90,119,87,123,123,81,61,149,193,183,185,184,179,174,177,190,191,187,187,186,139,137,185,182,151,127,115,103,105,111,69,145,103,65,73,119,181,178,174,169,161,154,137,139,178,191,186,187,137,142,198,175,150,132,112,93,127,97,53,109,95,102,126,125,150,169,174,168,154,134,126,117,110,183,189,187,136,146,191,174,158,141,118,108,119,124,137,145,157,159,148,154,167,156,138,128,124,142,161,152,133,180,190,187,136,144,185,177,164,149,125,126,150,174,165,162,160,157,141,135,132,112,134,165,184,193,193,192,192,189,189,188,136,144,196,180,164,149,127,133,163,169,153,161,155,143,113,102,120,164,193,191,189,187,188,188,189,190,189,189,134,153,203,167,154,135,126,134,155,154,154,151,136,102,93,144,185,190,186,187,188,188,190,190,190,190,190,190,130,166,183,143,141,133,133,137,137,143,144,122,89,104,166,189,184,185,186,187,187,188,189,189,189,189,190,189,128,173,177,146,141,149,139,140,126,126,115,85,128,180,183,179,182,184,184,184,185,186,188,187,188,185,186,188,132,184,184,147,140,165,144,133,115,105,87,139,183,177,177,179,181,183,183,184,184,185,186,187,188,200,205,207,138,190,185,142,142,167,142,122,103,80,123,180,171,176,177,178,181,181,182,183,184,184,187,185,207,216,216,204,137,191,186,137,143,164,139,122,91,80,162,171,172,175,176,177,180,181,182,183,184,185,186,186,178,151,190,203
5,82,88,95,101,108,115,120,123,125,130,133,136,139,142,145,145,157,135,138,156,157,158,158,159,159,160,160,159,83,89,95,103,109,116,121,124,127,131,134,139,142,144,147,147,173,118,112,159,158,159,159,160,161,161,162,161,84,90,97,104,111,118,123,126,129,131,142,134,141,147,147,162,164,87,126,161,159,160,162,162,163,164,164,164,85,91,99,106,113,118,124,128,130,134,172,109,122,152,147,184,129,76,149,162,160,163,164,164,164,164,165,164,87,93,99,107,115,118,126,130,130,147,163,89,128,153,161,187,105,94,165,163,163,166,166,166,166,166,167,167,87,95,100,107,122,138,111,131,128,171,131,79,144,151,187,155,89,128,168,166,166,167,168,168,167,169,169,169,89,95,101,106,135,151,88,131,133,184,117,93,151,167,180,107,89,159,166,166,167,168,166,171,170,170,170,170,90,95,102,107,141,169,85,129,144,161,100,114,154,187,157,89,111,169,165,171,189,175,131,165,173,172,172,171,91,96,103,110,138,201,106,116,154,144,92,134,162,194,147,97,141,170,178,188,181,189,133,155,176,174,174,174,91,96,105,114,124,211,170,129,149,151,114,133,175,178,128,101,159,178,198,162,148,188,108,161,176,176,176,175,92,97,106,115,116,196,218,192,153,138,119,122,164,147,116,124,177,193,154,105,143,178,93,154,181,178,177,178,94,98,107,116,120,144,209,219,179,130,104,99,116,113,119,157,186,179,131,87,163,173,94,123,185,180,179,179,92,98,109,117,126,127,159,224,185,139,100,87,89,92,115,162,152,137,104,113,182,162,103,96,182,181,182,182,93,99,110,118,127,133,131,216,195,149,117,92,86,87,104,133,131,102,89,165,193,176,116,98,181,183,183,183,94,100,110,119,128,133,131,213,206,161,137,103,84,84,93,113,113,83,137,182,194,182,125,107,185,185,185,185,94,102,111,121,130,134,134,218,215,176,152,114,85,84,90,113,130,136,165,166,190,180,122,112,188,186,186,187,95,101,113,123,129,135,134,215,219,187,157,113,85,79,97,135,162,171,168,142,149,173,116,121,191,187,187,188,95,103,114,123,129,136,134,209,226,190,158,120,89,79,114,160,170,168,159,132,115,126,99,130,193,188,189,190,96,104,115,125,130,137,133,193,224,190,167,133,100,99,127,157,162,154,143,119,99,96,87,146,193,189,191,191,95,106,117,125,132,137,134,179,221,194,170,139,105,103,139,148,149,132,126,107,93,88,126,185,191,191,193,193,96,106,116,125,133,138,135,180,227,197,158,128,105,91,123,128,128,111,107,96,90,137,188,191,193,193,192,193,97,106,117,126,133,140,133,185,222,177,138,111,98,93,107,116,112,98,92,93,151,191,190,191,194,194,194,193,96,107,118,127,134,141,133,193,214,169,134,105,103,106,100,107,97,88,87,151,193,190,192,193,194,194,195,194,97,108,119,128,135,138,157,199,206,177,142,107,112,115,96,95,86,82,147,191,191,193,194,194,195,195,195,195,98,108,119,128,133,160,215,216,188,159,136,113,113,107,88,83,71,129,190,190,192,194,195,195,196,196,195,196,98,108,119,126,145,205,220,219,206,179,126,106,102,97,84,78,77,178,191,190,193,195,196,196,196,197,197,198,98,108,118,127,195,211,215,204,191,188,170,132,99,86,76,69,94,190,188,190,193,195,196,197,198,197,197,198,97,108,115,163,213,207,203,190,186,168,172,161,119,93,84,75,77,161,188,189,191,194,194,195,197,197,196,198
4,157,161,166,169,172,174,177,178,180,182,181,183,185,187,188,187,186,186,187,185,185,186,184,184,184,183,183,183,157,162,167,170,172,173,175,179,181,182,183,185,186,186,187,190,190,185,190,190,187,186,185,185,185,185,185,184,159,164,168,171,173,174,177,180,181,184,184,186,185,197,194,169,175,202,179,175,191,189,187,188,187,186,184,184,161,166,169,171,175,177,178,181,183,181,191,183,190,229,191,167,151,220,177,141,162,194,191,190,189,188,185,185,162,167,169,173,175,178,180,183,180,206,236,200,170,231,200,163,176,226,182,134,125,190,154,186,192,188,187,187,164,168,171,175,177,179,182,184,179,234,253,230,147,191,221,150,190,233,179,123,186,181,118,127,195,186,186,187,164,169,174,175,180,181,183,182,195,238,239,216,138,175,222,147,191,218,164,175,205,144,115,87,173,193,187,188,166,171,175,177,181,182,185,178,219,222,219,203,123,154,194,196,192,202,227,244,186,113,97,86,172,195,189,190,166,170,175,179,181,183,186,179,233,214,202,204,122,125,180,192,217,230,241,224,195,140,90,83,184,194,191,192,166,171,177,180,182,186,183,199,246,211,177,200,128,102,176,120,157,199,206,190,205,161,100,92,194,194,192,192,167,172,176,179,181,187,180,227,231,183,167,149,101,107,181,99,136,186,156,191,216,175,111,120,202,194,193,193,168,173,177,181,183,185,186,246,218,169,150,144,117,121,141,107,130,180,90,199,237,194,130,121,204,194,195,194,171,174,178,182,184,184,193,255,219,170,141,127,112,124,119,131,138,158,138,198,248,209,151,96,182,200,195,195,171,175,179,182,187,183,206,255,218,170,137,121,116,129,129,172,170,196,226,208,223,202,155,102,140,207,195,197,170,175,180,182,188,183,220,255,218,163,138,135,125,118,132,179,195,228,218,219,186,173,165,117,132,208,196,198,170,176,181,184,189,182,231,255,217,161,160,157,128,124,172,219,232,226,217,202,167,140,152,109,160,207,199,199,170,174,178,182,187,181,237,255,214,181,194,166,147,200,238,249,231,224,209,179,150,126,115,111,195,199,198,198,170,174,179,181,187,183,242,255,230,215,211,169,176,241,246,255,234,208,191,165,142,120,95,157,208,197,199,199,171,175,180,183,188,184,240,255,245,221,209,187,181,245,249,250,225,184,174,154,138,106,113,201,200,200,200,200,171,175,180,183,189,183,232,255,248,225,203,191,193,249,246,229,207,172,156,146,126,95,166,209,201,201,200,201,172,178,180,185,190,183,220,255,237,224,205,193,199,232,225,204,183,160,153,140,102,119,207,203,205,202,201,201,173,177,181,184,189,184,218,251,222,216,213,197,196,211,209,189,164,152,150,125,94,179,209,201,203,203,200,199,171,174,181,183,190,185,213,239,208,214,215,193,186,210,206,185,153,139,139,103,143,211,203,202,201,201,200,198,172,178,184,186,191,189,208,234,209,212,206,188,175,208,208,168,134,128,119,125,206,209,208,208,207,206,206,204,142,144,145,145,149,143,171,247,222,219,201,192,169,197,199,149,123,122,106,126,151,144,144,144,142,142,142,145,103,100,99,99,102,94,125,255,238,227,210,203,171,186,198,148,119,109,104,95,93,92,91,90,89,91,89,84,111,111,110,112,114,111,120,248,246,224,211,207,170,168,203,154,115,103,100,104,105,104,102,101,102,100,96,172,111,112,112,113,113,112,108,233,246,218,200,203,172,156,195,150,111,101,98,104,105,105,102,101,104,91,177,243
20,158,161,165,168,171,173,175,176,177,178,180,178,177,177,177,175,176,161,170,173,172,171,170,168,166,166,165,164,159,163,167,170,172,175,177,178,179,180,181,181,180,179,179,179,186,134,140,171,171,171,171,169,169,169,167,166,160,165,168,171,174,177,178,180,181,181,182,182,181,180,181,185,186,128,108,151,136,171,172,171,171,170,168,167,163,167,169,173,175,179,180,182,183,184,184,183,183,182,182,190,179,124,109,153,104,163,174,174,173,171,170,169,164,168,172,174,178,180,182,185,185,184,186,186,185,183,183,201,184,128,115,153,107,154,176,176,175,173,172,171,166,170,172,175,179,181,183,186,186,186,187,187,187,186,185,209,178,125,125,155,114,153,178,177,176,175,173,172,167,172,174,177,180,182,185,186,186,188,188,188,188,188,189,203,160,111,150,164,121,148,180,179,178,177,174,173,169,173,177,179,181,184,186,188,188,189,190,189,190,189,198,198,152,96,159,158,116,147,181,180,179,178,177,174,171,175,178,180,183,185,187,190,190,191,192,190,172,162,204,194,145,94,167,155,105,154,182,182,181,180,178,176,172,176,179,181,185,187,189,190,192,194,192,200,165,119,182,165,114,111,180,155,105,163,185,184,182,181,180,178,174,177,180,183,186,188,190,191,194,195,196,207,176,138,141,101,77,129,167,142,98,173,186,184,183,183,181,180,175,178,181,185,187,190,193,194,195,192,169,188,194,161,123,98,82,127,135,115,98,184,187,186,186,185,183,181,176,180,183,187,189,192,194,195,207,198,151,148,192,159,143,134,129,131,104,97,123,190,189,188,187,186,184,182,177,181,185,188,191,193,195,202,219,209,166,145,172,170,159,148,154,139,88,78,154,191,190,189,188,187,185,184,179,182,187,189,192,194,195,213,206,212,167,137,181,175,146,139,145,127,98,71,164,193,192,190,189,187,187,186,180,183,188,190,193,196,197,225,206,194,170,120,155,140,84,86,142,136,115,79,158,194,193,192,190,188,189,186,181,185,189,192,195,197,202,218,190,175,171,103,76,73,56,64,139,164,131,94,108,193,194,193,192,190,188,187,183,186,189,193,196,199,203,230,214,192,165,132,88,60,94,155,172,179,145,103,77,170,195,194,193,192,190,188,183,187,191,194,196,199,206,233,220,193,161,160,109,91,172,203,192,163,141,105,81,161,196,195,194,193,191,188,184,188,192,195,197,200,206,232,223,187,155,137,103,147,207,195,170,157,118,102,82,180,197,196,196,194,192,189,185,189,194,195,198,201,206,230,219,186,179,135,146,211,203,172,149,152,109,90,94,197,198,197,196,195,193,191,186,190,195,197,201,203,206,226,218,194,184,139,182,215,191,170,150,145,119,75,131,201,201,199,198,196,194,192,187,191,195,198,201,203,207,220,214,197,184,144,176,193,177,162,141,128,105,74,180,202,201,200,198,196,195,192,187,191,195,198,200,203,201,212,211,197,174,145,144,162,157,140,120,108,80,125,202,203,202,201,199,198,195,193,186,190,194,198,201,177,97,165,200,192,151,121,123,132,147,128,103,79,83,190,205,204,202,201,200,198,196,194,186,189,193,197,184,99,65,77,144,157,131,122,129,132,147,119,88,73,163,204,203,202,202,201,199,196,195,193,186,190,195,190,108,66,64,62,74,122,137,132,131,130,136,104,73,136,205,205,204,203,202,200,199,197,196,193,186,190,195,128,73,69,59,60,59,70,106,117,122,119,106,86,85,193,208,206,205,203,202,201,200,198,196,195
23,100,103,105,113,121,129,135,138,140,144,149,152,155,158,159,161,163,165,167,167,166,167,167,167,168,168,167,167,100,103,106,115,123,131,137,140,141,146,151,154,157,158,159,162,166,167,167,168,168,169,168,169,169,168,168,167,101,104,107,115,124,132,138,141,142,147,151,155,158,160,162,164,166,167,169,170,170,170,170,170,170,170,169,169,101,103,107,116,125,133,139,141,143,148,153,157,159,161,164,165,167,169,170,171,171,170,171,171,171,171,171,170,103,105,107,116,126,134,139,142,145,150,154,158,160,162,164,166,168,170,170,171,172,171,171,171,171,171,171,169,102,104,109,118,126,135,140,143,146,150,155,159,161,163,166,167,169,170,171,172,174,173,173,172,172,172,171,171,102,104,109,118,127,136,141,143,146,152,156,160,162,165,167,169,170,171,173,174,171,172,171,173,175,172,171,172,102,104,110,119,128,136,142,145,147,153,158,161,164,166,169,170,171,173,173,171,193,200,180,174,171,173,173,172,102,104,110,120,128,137,142,145,148,154,159,163,165,167,170,171,173,173,177,208,220,188,185,166,120,168,176,174,102,104,110,121,129,138,144,146,149,155,160,163,166,169,171,174,173,181,225,202,171,120,144,150,152,177,175,176,103,105,111,121,131,139,145,146,150,156,161,165,167,169,171,175,171,209,240,141,103,155,179,179,182,178,177,176,103,104,111,122,132,140,145,147,151,157,162,166,169,171,174,175,176,226,227,171,182,173,169,182,179,179,178,178,102,104,111,122,132,140,146,148,153,158,162,167,171,170,173,174,195,234,229,231,221,147,139,191,179,181,180,179,102,105,112,123,132,142,148,149,154,159,163,170,168,181,198,205,223,183,202,193,183,133,114,169,180,183,182,180,103,106,113,124,134,143,149,151,155,160,166,166,183,211,206,211,225,191,214,215,190,130,103,145,165,188,182,183,103,105,113,125,134,144,150,152,157,162,165,176,211,195,189,193,193,177,195,207,177,122,96,116,129,192,184,184,103,105,113,124,136,144,151,153,157,164,162,216,231,210,201,202,191,181,181,152,137,121,92,119,104,146,190,185,103,105,114,125,135,145,151,153,157,164,167,229,231,211,181,182,194,191,182,138,118,128,84,116,119,111,173,190,103,104,113,126,135,146,152,153,157,163,170,225,227,198,159,135,144,161,164,126,124,125,78,113,120,126,183,189,103,105,114,126,136,147,152,153,158,163,173,231,230,173,130,112,87,169,163,118,132,107,95,123,118,154,194,188,103,104,116,127,136,146,152,154,161,163,175,237,218,169,132,100,106,170,144,121,111,82,109,128,131,188,192,192,102,104,115,127,137,148,153,155,161,162,182,239,210,167,136,108,100,109,110,95,88,96,110,120,158,199,191,192,100,103,115,127,136,146,151,153,160,160,189,237,205,165,136,106,79,84,89,99,114,115,114,119,182,195,192,192,100,101,113,126,137,147,153,154,161,161,198,234,200,166,136,114,95,106,117,122,127,121,112,152,198,194,194,193,99,101,113,125,136,147,153,154,162,162,197,225,194,163,138,119,105,109,126,129,130,117,128,196,196,195,195,194,97,100,111,125,137,146,153,155,162,162,198,217,185,164,143,124,114,111,128,132,131,111,161,203,194,196,195,194,94,97,109,123,136,146,152,154,161,162,206,209,188,178,155,133,120,112,126,131,123,133,195,198,196,195,195,195,96,99,110,122,133,144,149,152,160,164,217,214,200,189,166,137,124,116,124,125,125,182,200,194,195,194,195,195
20,102,106,108,112,113,115,118,118,120,121,122,122,122,122,125,126,124,126,126,126,126,127,127,126,126,126,125,124,106,109,112,115,117,119,121,122,124,126,126,126,124,139,107,115,132,128,128,129,129,129,130,129,131,130,128,127,109,112,115,118,120,123,125,126,127,128,129,130,130,160,89,84,131,131,131,132,132,132,133,133,133,132,130,129,112,115,119,121,124,127,127,129,131,132,133,132,136,161,92,73,102,103,142,134,135,135,136,136,135,134,133,132,115,118,123,125,127,129,131,132,134,134,136,136,139,158,89,93,122,73,143,138,137,137,138,138,138,137,136,135,118,121,125,127,130,132,134,135,136,137,139,139,143,160,93,106,134,66,135,143,140,141,141,141,141,140,139,138,120,124,127,130,133,134,136,138,140,140,141,140,147,164,98,106,145,70,130,148,143,144,145,144,143,143,142,140,122,126,129,132,135,138,140,141,142,143,145,141,153,162,98,106,156,77,122,152,145,146,147,147,146,146,145,144,125,127,131,134,137,140,142,144,146,146,146,144,161,165,102,112,157,84,111,156,147,149,150,148,149,149,147,146,127,129,133,137,139,142,145,146,148,149,147,121,152,177,100,116,167,92,104,160,149,152,152,152,152,151,150,148,128,132,135,138,141,144,147,147,143,156,169,124,109,130,82,104,171,99,103,162,151,154,154,154,153,152,152,151,131,135,138,140,144,147,148,153,143,126,167,148,87,66,53,89,144,99,100,163,154,157,156,155,155,155,154,153,132,136,140,142,146,150,150,160,168,123,125,148,111,106,80,77,112,95,96,166,157,159,158,158,157,157,157,154,134,137,141,145,148,152,154,151,148,126,95,139,129,142,126,72,72,85,87,165,158,159,159,159,159,158,158,158,136,140,143,146,150,153,155,149,119,123,81,148,130,134,130,79,49,58,84,167,158,161,161,161,161,160,159,159,137,142,145,147,151,154,155,157,149,125,100,103,91,62,132,106,61,39,77,167,161,164,164,164,163,162,160,160,138,142,146,149,152,156,156,165,143,96,65,37,39,26,111,139,85,45,59,166,165,165,165,165,164,164,162,161,140,143,147,151,153,158,159,165,145,112,80,63,62,66,129,165,113,67,52,157,168,165,166,167,165,165,165,164,141,144,147,152,154,157,158,166,160,117,86,78,92,136,177,156,117,85,56,154,171,166,167,168,168,167,166,166,141,145,149,152,155,159,159,168,163,126,96,98,110,164,176,146,103,75,60,163,170,167,168,169,168,167,167,166,141,147,151,153,157,160,159,168,171,143,117,106,116,172,161,132,93,60,65,170,170,169,170,171,170,169,168,168,143,147,152,155,159,160,160,167,176,150,121,116,120,173,154,118,85,58,69,172,171,172,172,172,171,171,170,168,143,148,152,155,159,161,161,162,170,147,133,137,122,169,149,106,76,54,79,175,171,173,173,173,172,172,171,169,143,147,151,154,158,160,161,160,156,149,133,139,115,160,134,98,70,48,91,180,170,172,172,173,173,173,171,170,144,148,152,156,158,160,161,161,158,149,133,135,103,139,115,84,70,46,110,180,169,171,172,173,173,172,172,171,145,149,152,155,157,160,161,161,163,153,126,115,84,119,98,80,72,53,150,176,171,172,173,173,173,172,172,171,145,149,153,155,158,160,162,159,165,154,128,101,91,126,89,87,58,92,177,172,173,173,174,174,173,173,173,172,145,150,153,156,158,159,163,158,167,163,141,119,113,125,80,82,49,143,176,172,173,174,176,174,174,174,173,172
14,194,196,197,197,197,200,200,199,209,222,207,176,148,125,174,198,201,201,200,200,200,201,200,200,199,198,197,197,196,198,199,200,199,200,200,212,230,206,157,133,119,111,137,176,179,179,200,201,201,201,201,200,200,200,199,199,197,199,200,201,200,200,222,237,216,168,118,111,107,110,137,159,147,134,198,203,203,204,204,203,202,202,201,200,199,201,202,201,201,210,246,223,169,128,108,111,103,95,113,129,120,150,205,204,204,205,204,204,204,203,202,201,201,202,203,204,200,225,250,204,126,96,90,97,103,112,110,120,133,151,182,202,206,206,207,206,206,204,204,203,201,202,204,206,204,237,247,195,122,92,87,90,104,116,101,111,152,163,139,168,209,207,208,209,207,206,205,205,201,203,206,207,209,247,239,176,116,98,101,88,91,100,97,99,119,131,114,176,211,210,209,209,209,208,207,207,203,205,207,207,216,252,233,171,112,99,110,96,101,113,121,120,112,117,113,147,172,205,210,210,210,210,209,209,206,207,208,206,224,255,240,191,136,105,102,102,109,106,113,111,118,130,133,134,129,178,209,212,212,211,210,209,207,209,210,207,238,255,240,195,147,115,94,111,115,113,141,165,196,186,163,147,165,159,196,215,213,212,212,212,209,211,210,211,246,255,242,194,145,120,100,109,110,178,214,215,215,217,210,178,183,157,199,216,214,214,213,213,210,211,211,215,250,255,245,202,153,119,103,101,122,206,218,218,218,219,198,170,180,153,206,217,216,214,214,215,212,214,213,220,253,255,247,209,163,123,102,103,178,219,219,219,219,220,190,168,177,148,203,218,217,216,215,216,213,215,214,222,253,255,249,213,168,129,98,119,214,220,220,220,220,222,182,162,174,143,181,221,219,218,217,217,214,216,217,223,253,255,249,216,175,136,100,148,224,222,223,222,223,212,169,159,167,146,161,222,220,219,220,219,215,217,218,224,253,255,250,219,178,138,104,152,215,221,222,224,218,169,161,174,167,143,177,223,221,220,220,220,217,217,217,226,253,255,250,219,178,144,120,99,128,155,163,182,173,146,162,168,157,158,215,224,222,220,220,220,217,217,218,227,253,255,250,217,180,156,135,101,102,112,122,134,139,146,160,160,147,197,225,223,222,222,221,221,219,219,219,231,254,255,249,215,190,171,146,112,110,122,132,143,147,145,151,146,176,225,226,226,224,224,223,222,220,221,220,236,255,255,249,221,201,180,151,123,117,133,139,143,148,144,135,150,219,228,227,227,225,224,224,223,221,223,222,239,255,255,249,230,209,182,151,131,120,133,141,142,145,141,133,194,230,229,228,227,226,226,225,225,222,222,223,243,255,255,250,237,214,181,149,131,122,130,140,139,141,134,181,228,229,228,229,228,228,227,228,227,222,224,223,247,255,255,250,237,209,168,133,122,118,127,136,137,133,156,226,231,230,229,229,229,228,227,228,227,225,226,228,252,254,253,243,223,187,136,112,112,113,123,130,133,136,206,232,230,231,230,231,230,230,229,228,228,195,183,174,181,167,160,145,128,111,90,81,89,104,118,123,130,185,233,232,233,232,232,233,232,230,230,229,230,124,115,104,98,90,84,76,71,69,63,54,54,66,88,112,179,232,232,233,233,232,232,233,233,232,232,230,231,113,107,98,93,88,82,73,69,67,59,51,49,49,49,85,223,236,235,235,235,235,234,234,234,233,232,232,232,112,106,98,91,85,80,72,68,64,57,50,47,48,47,86,229,237,237,236,236,236,234,234,234,233,233,234,233
15,169,148,145,130,101,153,73,32,74,78,80,84,88,92,103,117,131,141,146,150,157,164,168,172,175,178,182,185,169,150,150,125,110,155,62,37,76,80,82,84,88,91,104,119,133,143,147,153,159,166,171,174,178,181,184,187,170,155,156,119,122,155,51,45,79,80,83,86,89,92,106,122,135,146,150,155,161,169,174,177,181,184,187,190,168,158,159,113,134,151,42,53,81,80,83,87,89,94,109,124,138,148,152,157,164,172,177,181,184,188,190,193,167,160,160,107,146,144,35,61,82,82,86,91,95,97,112,128,141,151,155,159,168,175,180,185,188,191,194,196,165,167,158,119,144,137,90,102,105,111,119,120,117,103,104,116,131,146,154,160,168,174,184,189,192,195,198,201,163,174,148,127,128,126,121,112,107,112,110,107,102,106,107,106,109,115,124,134,136,132,143,169,194,200,202,204,165,160,128,118,116,113,108,101,102,104,104,101,102,114,117,114,111,110,111,123,128,118,108,101,133,184,206,209,170,165,137,108,113,98,96,95,100,104,104,104,109,119,121,117,111,107,112,123,124,120,113,99,89,102,157,202,172,171,143,117,164,83,55,86,89,92,95,98,107,118,121,119,110,110,120,123,118,120,114,106,99,91,88,115,175,175,135,131,177,66,40,83,83,84,86,89,92,107,126,149,134,122,121,121,121,120,114,110,108,108,95,82,180,179,127,143,173,54,48,85,83,83,86,89,92,106,139,176,161,134,123,118,110,114,110,112,114,122,107,91,181,181,121,154,167,44,55,86,84,84,86,89,92,111,167,165,144,108,99,103,87,92,111,115,124,132,115,102,181,180,117,165,159,36,61,86,83,84,87,90,92,139,175,146,127,94,61,65,53,65,136,135,137,129,113,109,182,178,113,173,148,31,68,86,83,84,87,88,109,180,163,130,109,84,50,41,33,68,156,156,146,121,105,109,182,175,114,181,137,28,73,87,84,84,86,87,136,196,165,124,100,64,39,38,32,89,162,170,157,123,101,103,186,172,117,186,124,28,78,87,84,84,86,86,120,187,178,139,104,55,34,41,49,98,158,178,163,127,101,95,191,168,123,193,112,29,82,86,83,84,86,89,97,170,194,165,116,67,34,64,81,97,152,168,148,121,99,84,196,163,131,200,101,33,85,86,83,83,85,89,95,141,205,185,135,84,51,59,106,139,154,142,118,109,94,76,199,154,141,202,88,36,87,85,81,81,83,86,95,121,195,197,169,150,140,143,156,140,124,106,95,95,91,80,201,146,153,200,74,41,87,83,80,80,82,84,95,117,172,199,173,157,154,161,156,118,92,89,84,87,91,93,202,138,164,195,62,46,87,82,79,79,82,84,95,126,184,165,139,135,142,161,154,106,82,83,85,90,90,85,200,132,176,188,51,52,87,80,77,77,81,84,93,148,186,146,131,132,133,152,148,109,82,103,166,116,69,59,197,127,186,180,40,55,84,76,74,74,77,80,91,146,171,139,125,123,117,133,136,109,83,173,230,131,69,60,194,126,192,176,94,100,112,104,98,94,92,94,104,130,150,145,152,152,114,96,127,107,95,171,232,137,75,63,189,129,196,183,148,118,125,126,125,122,124,126,125,126,129,137,146,179,153,99,133,131,119,157,183,123,80,67,184,131,201,182,141,110,118,119,120,120,122,122,123,122,121,124,124,151,176,126,118,127,126,128,130,105,76,71,179,136,203,179,139,115,120,122,123,123,123,124,126,127,128,130,128,131,149,138,129,132,133,133,134,106,64,45
1,193,194,194,195,196,195,195,196,195,192,193,193,191,189,187,184,184,186,182,182,181,179,177,174,182,109,30,22,194,195,197,196,198,198,196,196,195,194,194,194,193,189,190,194,183,157,182,184,182,182,180,175,184,78,25,27,196,197,199,199,200,200,199,198,198,198,195,194,193,194,176,165,191,110,151,194,186,182,182,178,184,59,31,29,198,200,200,201,202,202,200,200,200,200,197,196,195,199,173,89,146,118,106,153,157,189,181,178,184,90,30,16,200,201,203,203,203,203,201,201,203,201,198,193,188,209,169,83,109,112,103,150,95,183,185,180,191,90,24,20,202,203,203,205,206,206,203,202,202,201,202,190,128,148,158,73,131,130,103,159,80,165,190,180,191,100,15,22,203,204,207,208,207,207,206,205,204,201,208,180,100,97,165,75,132,147,81,141,76,155,193,182,190,144,79,94,204,207,207,208,208,208,208,207,207,204,210,172,91,104,155,76,102,123,84,163,86,144,197,184,188,156,163,169,206,208,209,210,210,210,210,209,207,206,218,178,103,92,127,69,101,102,87,170,95,124,200,186,189,157,152,119,207,209,211,211,211,211,211,210,210,208,224,162,98,98,128,72,128,115,83,151,89,121,202,188,190,171,151,97,209,210,213,214,213,213,213,212,211,210,220,160,95,116,148,79,113,117,79,145,87,126,204,190,191,183,163,145,210,211,215,215,215,214,215,214,212,215,225,168,125,89,118,59,85,83,101,162,100,127,204,190,191,189,169,159,211,214,215,214,215,215,215,215,212,219,213,158,104,65,66,51,80,48,101,153,97,118,206,191,192,190,185,155,213,215,217,217,217,217,216,216,214,221,205,159,134,127,108,102,79,82,112,122,72,133,209,193,193,191,191,177,215,216,216,218,218,218,217,218,213,232,218,177,169,137,191,134,132,125,152,118,55,174,205,197,195,193,192,191,216,217,218,219,221,220,220,220,216,245,206,171,140,100,160,162,164,148,140,115,81,193,202,198,196,193,193,190,217,218,220,222,222,222,222,221,223,243,195,141,114,87,66,129,158,134,147,140,85,154,211,198,196,193,192,190,218,219,221,224,223,223,224,221,228,248,203,160,129,84,67,61,97,113,178,169,103,107,213,197,198,195,194,191,220,222,222,223,225,224,225,222,231,243,201,176,124,97,90,62,155,142,150,193,132,72,185,205,198,198,196,193,222,223,224,225,225,226,226,223,233,235,201,179,109,106,76,121,205,182,150,164,144,65,130,214,197,199,196,193,222,225,226,227,227,227,227,225,232,232,209,180,104,110,87,181,207,184,160,128,117,78,103,215,199,200,196,194,224,226,226,228,229,228,229,227,231,231,211,162,115,96,117,211,204,180,143,128,93,60,141,214,199,201,199,194,225,226,227,229,229,230,231,227,233,227,204,157,136,81,144,213,191,167,132,115,90,56,194,209,202,200,197,198,225,226,228,230,229,229,228,227,227,220,197,166,145,84,163,208,176,153,129,107,62,98,220,204,204,201,199,200,223,225,226,227,225,226,225,225,221,214,192,174,152,96,165,192,160,144,124,90,46,175,215,203,202,198,199,197,224,226,227,229,229,232,235,224,219,217,190,181,149,94,154,172,144,129,108,49,102,220,206,204,204,208,211,144,226,228,228,228,234,219,198,232,211,201,193,181,117,89,128,143,121,104,62,66,206,211,211,213,200,179,125,56,225,228,228,227,243,157,57,119,165,170,164,133,82,88,106,117,95,69,39,175,222,211,193,129,75,43,32,41
11,99,105,109,114,116,119,122,125,127,130,131,133,134,137,140,140,142,143,143,145,146,147,147,148,148,147,147,146,100,105,111,114,117,122,124,126,129,131,133,135,139,140,141,142,143,145,146,148,149,149,150,149,149,149,149,148,102,106,112,116,117,122,125,127,130,131,134,136,140,141,141,143,145,146,148,149,149,150,151,150,150,150,150,150,103,108,113,117,120,122,123,128,131,133,135,137,140,142,142,141,148,148,149,150,150,150,151,151,151,151,152,152,104,110,115,117,120,123,126,130,133,136,138,139,141,143,148,128,105,153,150,152,152,152,153,153,152,153,153,153,106,111,115,119,122,125,128,132,134,137,139,141,143,142,152,136,65,145,154,153,153,155,155,155,154,154,155,153,106,111,115,120,124,126,129,133,136,138,141,142,144,142,162,127,65,146,155,155,155,155,155,155,155,154,154,153,106,112,118,121,124,126,131,134,138,140,142,143,144,144,171,101,76,159,153,155,156,156,156,156,156,156,156,156,107,114,119,123,125,127,131,134,138,141,143,145,144,154,173,88,96,163,155,157,158,157,158,158,158,157,157,156,108,114,118,123,125,128,131,134,138,142,143,144,143,167,142,70,119,162,156,158,158,159,159,159,159,157,157,157,109,115,118,123,126,129,132,135,139,141,140,141,147,174,96,64,144,158,156,158,158,159,159,159,159,158,158,158,109,116,119,124,128,128,134,136,136,136,156,154,101,117,78,82,162,156,158,158,158,159,160,159,160,159,158,158,109,115,120,122,126,133,125,137,159,115,119,140,86,60,61,120,164,156,159,159,159,160,160,159,159,160,159,158,109,115,119,145,170,160,115,76,151,110,65,113,83,50,54,149,158,157,159,160,160,160,160,160,161,160,161,161,110,110,141,153,139,160,115,64,132,86,79,129,73,35,74,165,156,158,159,160,160,162,162,162,162,160,161,161,109,117,145,127,108,147,109,67,125,67,96,119,62,29,100,169,156,159,160,160,160,162,163,163,163,163,161,160,105,132,153,107,78,127,98,62,106,61,109,96,47,28,117,166,156,159,159,160,161,162,162,163,163,163,162,161,105,155,150,112,84,108,63,68,83,53,100,75,38,23,126,166,157,161,162,163,162,166,166,162,163,162,162,162,119,173,140,114,86,85,53,81,55,61,119,49,27,31,100,164,157,154,146,137,131,127,147,168,162,163,162,162,141,175,132,112,88,70,64,100,25,36,89,34,58,79,81,121,139,146,144,135,123,102,88,124,168,163,163,162,144,164,137,119,99,77,74,88,73,91,102,116,122,118,125,135,142,136,120,100,93,100,91,61,150,167,163,163,137,160,142,128,106,88,99,128,145,139,135,136,132,115,121,122,91,88,105,121,144,158,145,123,156,166,163,163,140,169,143,131,108,94,112,145,137,127,134,128,119,89,79,77,110,149,166,170,169,167,168,170,166,165,164,164,159,169,134,122,99,94,113,134,127,124,128,110,79,55,92,144,168,166,163,163,164,165,165,164,165,166,165,165,171,133,115,106,99,102,109,114,121,117,98,58,60,120,162,164,161,162,163,164,165,167,167,165,165,166,166,166,168,127,112,114,111,107,107,98,103,82,46,85,148,163,157,159,163,163,163,164,166,166,166,165,166,167,165,164,161,143,103,127,127,110,100,80,71,52,110,156,154,153,155,158,160,160,160,162,163,164,164,165,162,163,165,170,160,146,97,136,131,102,82,66,43,103,158,146,150,153,155,156,158,160,160,161,162,162,164,163,175,185,186,187
7,154,155,156,157,157,158,157,157,157,157,156,155,155,154,154,153,152,151,150,150,149,149,147,151,125,47,38,48,156,156,158,158,159,159,159,159,158,158,157,157,157,156,158,155,154,153,151,149,151,148,147,152,143,114,96,87,157,158,160,161,161,161,161,161,160,161,159,157,159,151,138,147,150,146,136,137,133,136,155,144,123,85,146,144,159,160,161,163,162,162,162,162,161,159,160,161,162,154,135,139,155,151,135,131,126,129,158,129,114,109,163,116,160,162,162,163,163,162,163,162,166,169,175,175,170,150,141,145,132,124,126,115,116,105,104,122,136,117,112,96,161,162,163,164,165,165,158,162,173,179,178,171,164,158,155,152,132,103,126,134,122,118,109,110,97,116,111,138,163,163,166,164,176,178,166,162,167,169,166,164,163,161,161,147,130,120,126,132,124,123,118,103,86,110,109,116,163,164,166,168,191,183,173,161,162,168,167,165,164,161,159,147,129,117,107,101,95,96,90,85,82,84,98,145,165,167,165,180,194,184,165,147,151,163,167,163,156,144,132,117,104,109,105,106,112,120,123,122,131,139,144,139,167,168,166,191,189,180,154,140,153,148,140,134,123,117,110,99,96,117,171,165,164,165,164,163,160,157,159,128,169,165,178,196,187,175,162,157,150,137,138,142,140,135,131,128,135,88,97,158,163,161,160,158,156,155,155,154,169,167,193,193,189,185,186,173,146,144,148,146,141,130,126,123,118,94,39,94,171,161,162,160,159,157,155,155,165,177,197,193,191,191,192,174,133,133,140,136,131,122,118,110,101,84,49,70,169,162,163,162,160,159,157,156,169,193,196,194,192,190,184,161,137,130,112,95,94,107,117,123,130,110,58,122,169,162,164,163,162,161,158,156,185,198,195,194,192,184,176,161,147,132,116,107,121,148,146,131,135,119,116,175,163,164,164,163,162,161,160,157,194,196,197,194,187,179,171,153,139,146,135,128,142,141,130,122,120,94,116,176,166,166,165,164,163,162,160,158,196,197,195,192,184,171,149,142,156,160,140,132,134,127,122,115,107,69,133,175,168,168,166,165,164,163,161,159,196,195,193,189,177,160,158,167,173,162,146,125,111,99,89,76,72,103,169,170,170,170,168,165,164,163,161,160,195,191,185,179,172,169,172,169,164,151,128,107,81,113,93,104,145,172,172,172,170,169,168,167,164,163,162,161,190,185,178,176,173,176,169,154,151,142,125,94,119,177,177,179,179,173,173,171,169,169,169,168,165,164,163,161,181,176,178,175,170,168,162,151,149,131,92,116,181,176,175,175,174,175,175,172,171,170,169,169,167,166,164,162,174,168,170,169,162,157,152,145,128,91,103,179,177,176,176,175,175,175,174,172,172,172,170,169,167,166,163,159,172,168,164,157,147,144,138,125,89,96,174,179,175,176,175,175,174,175,173,172,171,170,169,168,164,166,167,155,170,163,153,141,129,126,113,82,100,171,181,178,177,177,176,175,174,174,173,172,172,171,168,166,173,147,89,126,154,142,130,115,107,93,74,109,176,182,178,179,179,179,176,175,175,175,173,172,171,169,171,173,155,79,38,43,135,124,116,109,91,90,137,184,181,179,179,180,179,178,177,176,176,175,173,173,177,178,161,115,63,44,41,37,130,127,112,91,90,176,187,179,179,179,179,179,179,179,177,176,176,177,179,171,147,109,66,44,43,46,42,40,147,137,113,80,102,189,178,180,179,179,179,180,179,178,177,175,171,163,130,86,51,34,38,41,38,39,39,39
24,172,173,174,174,175,176,176,176,176,176,176,176,176,176,175,174,173,171,170,170,169,167,166,166,164,162,160,158,175,176,177,177,178,178,179,179,179,179,179,179,179,178,178,178,177,175,174,173,171,170,169,168,166,165,163,161,178,179,180,181,181,181,182,182,182,181,181,182,182,182,181,180,179,178,177,176,174,173,170,169,170,168,167,165,181,182,183,184,184,185,185,185,185,184,184,184,184,185,184,183,182,181,180,179,178,175,160,153,170,172,170,168,184,185,186,186,187,187,187,187,187,187,187,186,186,187,186,186,185,183,182,182,180,178,149,126,164,174,172,170,187,188,188,189,190,190,189,190,188,187,189,189,189,189,188,187,187,186,185,184,183,182,148,118,163,177,175,172,190,190,191,192,193,192,193,192,180,162,180,192,192,192,192,190,189,188,187,186,186,184,145,120,167,179,177,175,192,193,194,194,194,194,194,192,170,132,152,191,195,196,195,194,193,191,190,189,190,185,141,126,173,181,180,178,194,195,196,196,197,196,196,194,174,133,128,183,197,197,197,196,195,194,193,191,195,183,136,134,179,184,182,180,197,197,198,199,199,199,199,198,186,148,118,169,199,199,199,198,197,196,195,194,197,172,123,142,185,187,185,183,199,199,200,201,201,201,201,200,195,163,120,150,198,201,200,198,196,197,191,181,184,160,115,155,189,189,188,186,200,201,202,202,202,202,202,202,200,178,133,130,190,202,199,185,175,183,174,143,133,137,120,172,192,191,189,187,202,203,204,204,204,204,204,204,204,188,145,116,171,202,192,173,154,150,148,129,108,104,125,185,195,193,191,189,204,205,206,206,206,207,207,207,206,195,159,120,148,194,185,177,157,145,140,141,126,90,132,192,196,195,193,191,206,207,207,208,208,208,208,208,208,202,177,140,127,168,171,182,163,144,141,145,130,94,142,196,198,196,194,193,208,208,208,209,210,209,209,209,209,207,191,156,123,136,147,175,167,126,109,132,140,106,132,193,200,198,196,195,208,209,210,210,211,211,211,211,211,211,199,176,151,130,125,152,159,108,74,119,154,122,112,176,200,199,198,196,210,211,212,212,213,213,213,213,213,213,205,193,165,122,102,129,142,96,70,120,167,148,107,141,196,200,199,199,212,213,214,214,215,215,215,215,214,215,208,194,162,125,105,126,135,98,95,159,184,162,110,117,190,202,200,200,214,215,215,216,216,217,217,216,217,217,212,197,177,155,125,128,138,119,144,189,184,152,102,118,192,203,201,200,215,216,216,216,217,218,218,218,218,218,215,200,190,173,137,125,126,145,188,196,172,139,93,130,199,204,203,202,215,216,216,216,217,218,218,218,218,219,216,200,192,183,153,128,123,174,203,192,163,128,91,145,203,204,203,202,215,216,216,217,218,217,218,218,219,219,217,201,187,181,164,139,128,179,199,183,154,117,91,159,204,204,203,202,216,216,217,218,218,218,219,220,220,220,218,203,184,178,171,153,134,170,195,175,140,102,94,174,206,205,203,202,217,217,217,218,219,220,220,220,221,221,220,209,187,181,176,165,139,156,183,161,123,86,108,191,208,206,204,203,216,217,217,219,220,221,221,220,221,223,222,216,196,186,178,169,137,134,159,137,99,74,131,202,208,207,205,203,200,202,204,207,209,211,212,213,215,217,218,216,201,190,177,163,137,122,134,121,85,80,163,208,208,205,197,184,145,148,152,155,159,163,167,170,174,177,181,184,191,190,174,159,143,124,125,117,80,99,182,203,201,188,153,117
4,207,209,211,212,212,214,215,216,218,218,218,219,219,219,219,220,220,219,217,216,217,218,218,218,218,217,215,214,208,210,212,213,214,217,219,219,219,219,220,220,220,220,221,220,220,219,218,220,218,218,219,219,219,219,219,217,210,212,214,214,214,219,220,220,221,221,220,221,221,223,222,219,220,223,221,220,221,221,221,221,221,221,220,220,213,213,216,218,218,221,221,221,222,222,223,220,218,220,220,228,226,224,222,226,225,225,223,224,224,223,222,221,214,216,218,218,220,221,222,222,224,221,219,227,255,255,230,227,255,254,196,203,225,222,231,227,227,226,223,221,216,218,219,219,220,222,223,225,222,233,252,251,226,255,241,156,207,241,183,128,221,212,191,230,227,226,224,224,219,220,220,221,221,224,227,222,237,255,255,233,143,195,219,138,145,210,141,145,255,210,123,201,234,226,227,226,220,221,223,226,226,226,228,221,255,255,255,231,137,165,234,129,98,223,157,224,255,197,112,199,239,229,231,229,221,222,224,228,228,226,230,222,255,255,237,253,194,127,234,143,126,229,242,255,253,234,137,206,240,231,232,229,222,225,226,229,229,228,231,223,255,255,221,220,170,68,156,249,234,237,251,234,238,255,196,185,242,230,231,232,223,227,228,231,231,229,230,233,255,255,233,190,141,95,82,201,199,205,217,185,250,255,248,170,224,239,234,235,224,227,229,233,233,233,228,245,255,255,206,171,158,137,123,126,126,158,154,129,255,255,255,202,175,247,234,234,227,229,230,233,233,238,231,252,255,255,213,166,136,130,140,147,123,160,127,169,255,255,255,219,148,229,240,236,230,231,232,234,235,238,231,255,255,255,219,171,145,134,146,160,169,203,217,255,255,255,234,196,142,199,249,238,231,231,233,236,238,239,232,255,255,255,231,189,152,140,153,181,187,226,255,255,255,253,213,170,135,201,249,237,232,235,236,238,238,241,234,255,255,255,244,209,159,140,151,180,218,255,255,255,255,242,198,155,134,227,244,239,232,236,238,239,239,241,235,255,255,255,255,217,180,159,158,195,255,255,255,255,255,223,181,138,151,249,242,242,233,236,238,238,241,243,235,255,255,255,255,228,211,177,185,220,255,255,255,255,240,202,163,125,186,255,242,244,236,237,238,239,242,244,237,255,255,255,255,238,227,210,199,224,255,255,255,249,220,183,145,122,225,253,244,245,237,238,239,240,241,242,243,255,255,255,255,252,237,223,199,200,244,255,248,230,206,163,130,143,253,247,247,245,237,240,241,245,249,250,245,244,255,255,255,253,238,214,204,198,226,255,225,204,187,150,111,192,255,246,248,246,240,241,245,229,205,186,165,151,152,151,134,121,115,119,128,140,172,206,204,194,173,135,115,244,255,251,251,249,240,246,191,162,147,141,134,129,116,102,89,74,64,60,42,36,54,64,80,111,142,106,162,255,250,252,250,248,241,248,167,146,151,144,137,132,116,105,89,76,72,63,44,44,51,45,32,25,41,67,236,255,252,252,251,249,240,254,191,139,144,139,134,128,105,93,84,72,69,56,47,46,53,42,33,33,30,15,114,255,252,253,253,253,243,255,212,142,144,134,134,120,105,89,81,71,66,55,47,47,49,38,29,26,28,32,0,198,255,252,255,255,245,253,224,149,140,138,135,121,101,91,79,69,62,56,46,47,44,35,26,24,27,24,31,233,255,255,255,255,244,253,233,144,138,144,126,113,98,89,76,66,58,54,48,46,41,33,25,22,32,4,143,255,252,255,255,255
11,130,133,135,137,140,140,142,143,144,144,143,143,144,142,142,140,140,138,138,138,135,135,134,133,131,131,130,127,132,135,137,139,141,142,144,145,145,146,145,144,144,144,144,142,142,141,139,139,137,137,136,135,133,132,130,129,134,137,139,141,143,144,145,146,147,147,147,146,146,145,144,143,144,143,141,140,140,139,137,136,135,134,132,130,135,138,140,142,145,145,147,148,147,149,148,149,148,147,146,145,140,142,145,142,140,140,139,137,137,135,134,132,137,140,142,143,145,148,150,150,148,149,149,149,149,149,147,152,139,93,142,143,141,142,142,139,139,138,135,133,138,141,143,144,147,149,150,150,150,151,150,150,150,150,147,157,146,72,122,150,143,144,143,142,141,139,136,136,139,142,145,147,149,149,151,152,151,152,152,152,152,150,149,157,141,79,116,154,143,144,144,143,141,140,138,137,141,143,147,148,149,151,154,154,155,154,154,153,153,153,148,163,150,86,115,155,146,144,144,143,143,140,139,138,142,144,147,150,150,153,155,155,155,155,155,153,154,155,149,169,158,93,107,157,147,146,145,144,144,141,140,139,144,146,148,150,152,154,155,156,156,156,156,155,154,155,151,170,145,83,105,158,146,147,147,146,144,143,141,140,145,147,149,152,154,155,156,156,156,156,156,155,158,160,157,170,139,78,110,158,148,149,148,147,146,144,142,141,146,148,151,154,156,156,157,157,157,159,162,162,149,118,139,175,137,83,118,159,149,150,150,148,147,146,144,142,149,149,153,155,156,157,158,163,165,154,127,141,139,91,80,151,115,73,128,159,151,151,150,150,149,147,144,143,149,151,153,155,158,159,160,131,138,149,98,61,123,111,59,66,72,59,146,158,153,152,151,150,149,148,145,144,150,153,155,156,159,163,163,119,71,137,112,57,123,109,57,47,52,76,162,154,154,154,154,153,152,152,147,144,150,154,156,159,158,173,168,143,69,118,120,58,113,93,55,49,49,85,165,155,156,154,150,145,137,134,147,149,153,155,157,159,166,184,171,140,71,84,104,50,98,89,52,41,39,80,167,155,156,150,141,134,113,100,98,127,154,156,159,158,176,169,153,138,77,56,91,52,117,100,60,35,43,86,168,150,159,158,127,100,76,71,56,72,155,156,161,159,179,182,157,128,61,72,106,55,149,139,74,42,58,81,146,154,154,113,60,50,87,109,103,117,156,158,161,161,183,185,160,112,78,96,160,80,142,138,56,54,91,101,135,147,114,55,60,137,162,159,157,153,156,158,162,160,185,181,146,125,118,84,181,96,59,105,83,104,105,99,115,100,54,71,155,162,154,152,150,149,155,159,161,161,182,178,157,139,111,98,135,89,98,141,135,116,98,83,83,51,63,161,161,156,156,154,152,150,157,160,163,162,177,178,166,145,131,145,152,157,139,127,119,104,94,71,49,56,150,165,158,159,157,156,154,152,158,161,164,163,172,175,161,142,120,120,136,141,128,124,105,98,87,43,71,152,167,161,161,160,159,156,154,153,157,161,161,168,171,168,155,122,102,117,130,125,120,108,98,89,48,83,167,169,162,162,161,160,159,156,155,154,155,164,77,50,151,156,140,116,119,127,125,116,105,90,67,50,103,172,166,164,163,161,161,160,158,156,154,152,165,118,35,27,73,140,150,146,139,118,116,99,76,43,72,150,174,166,165,165,163,162,161,160,159,156,154,152,157,62,36,44,34,62,120,131,121,108,98,81,50,48,166,177,166,167,166,165,164,162,161,160,158,156,155,154
4,198,200,202,202,202,204,205,205,207,207,207,207,208,207,207,208,208,207,206,206,206,207,207,207,207,206,204,203,199,201,202,203,203,206,207,207,208,208,209,208,209,209,209,208,209,208,207,208,207,207,207,208,208,208,207,206,200,202,204,204,204,207,208,208,209,209,208,209,210,211,210,208,208,211,209,208,209,209,209,210,210,209,209,209,203,203,205,207,207,209,210,209,210,210,211,208,207,209,209,215,213,211,210,213,212,212,211,212,212,211,210,209,203,205,207,207,209,210,210,210,211,210,208,214,238,242,216,214,248,236,189,195,212,210,217,214,214,213,211,209,205,207,207,208,209,210,211,213,210,219,234,234,213,246,225,157,198,225,179,135,209,202,186,216,214,213,212,212,208,208,209,209,209,212,214,210,222,254,255,219,147,188,208,143,149,201,145,148,246,201,131,193,220,213,214,214,208,210,211,213,213,213,215,209,243,251,251,218,142,164,220,135,111,211,158,211,245,190,122,192,223,216,217,216,209,210,212,215,215,214,216,210,247,238,222,235,188,134,220,147,133,216,226,252,235,220,142,197,225,218,218,216,210,212,214,216,216,215,218,211,248,238,209,208,168,87,157,232,220,222,233,220,223,240,189,181,226,217,217,218,211,214,215,217,218,216,217,219,253,248,219,184,145,108,98,193,192,197,206,181,233,253,231,169,211,224,219,221,212,214,216,219,219,219,215,228,255,240,198,169,159,142,131,133,133,158,156,135,248,255,246,194,173,230,220,220,215,216,217,219,219,223,218,234,255,241,203,165,141,136,144,150,131,160,134,168,251,252,242,208,151,216,224,221,216,217,218,220,220,223,217,240,255,244,207,169,148,140,149,161,168,195,206,254,251,241,220,190,146,192,232,223,217,217,219,221,223,223,218,244,255,245,217,183,154,144,155,177,182,213,251,253,248,235,203,168,140,193,232,222,218,220,222,223,223,226,220,244,255,246,228,200,160,145,153,177,207,245,255,253,245,226,191,156,139,214,228,224,218,221,223,223,224,226,220,245,255,249,236,206,177,160,159,188,240,255,254,252,236,211,177,143,154,232,226,226,219,221,223,223,225,227,221,244,255,253,243,215,201,174,181,208,249,254,254,246,225,194,163,132,181,238,226,228,222,222,223,224,226,228,222,240,255,254,248,223,214,200,191,212,238,255,248,232,209,179,148,130,213,235,228,229,222,223,224,225,225,226,227,237,255,254,253,234,222,211,192,193,228,254,231,217,197,163,136,146,235,231,230,229,222,224,225,228,231,232,229,228,252,253,249,235,223,204,195,191,213,243,212,195,182,152,122,186,241,229,231,229,225,225,228,215,197,181,165,153,154,153,139,129,124,128,135,145,170,197,195,188,171,140,124,228,237,233,233,232,224,230,185,162,150,145,139,135,125,114,104,92,83,80,66,61,76,83,96,121,146,117,162,243,233,234,232,231,225,231,166,149,153,147,142,138,125,116,104,93,90,83,68,68,73,68,58,52,65,86,221,241,234,234,233,232,225,236,185,143,148,143,140,135,117,107,99,90,88,77,70,69,75,66,59,59,56,44,124,246,234,235,235,235,227,236,202,146,147,140,140,128,117,103,97,89,85,76,70,70,71,63,55,53,55,58,32,191,248,234,238,237,228,235,212,152,144,143,140,129,113,105,96,87,82,77,69,70,67,61,53,52,54,51,57,219,243,236,237,237,228,235,219,148,143,147,133,123,111,103,93,85,79,76,71,69,65,59,53,50,58,35,147,255,234,238,238,238
11,80,84,90,95,100,102,107,110,112,114,115,120,129,107,120,119,118,119,119,119,118,117,116,117,100,121,131,135,83,89,95,100,103,107,111,114,117,119,118,124,144,76,118,123,121,121,120,119,119,118,117,114,114,135,136,140,87,91,99,106,110,113,117,120,122,124,124,129,163,72,102,131,124,124,123,123,122,121,119,115,133,88,132,143,91,96,104,110,115,118,122,125,128,131,129,137,167,68,90,139,129,129,128,127,127,126,124,121,123,127,146,141,94,100,109,116,120,123,128,132,134,137,136,143,161,63,93,144,133,134,134,133,132,130,129,126,125,130,106,136,97,103,113,121,125,129,134,138,140,142,141,153,166,66,100,150,139,140,140,139,137,135,133,130,130,122,106,139,100,107,118,125,130,134,139,142,145,149,144,172,159,51,113,155,145,146,145,144,143,140,138,136,134,131,130,144,103,111,123,130,134,139,143,147,150,154,149,186,158,49,131,158,151,150,151,149,147,145,143,140,138,135,133,152,106,114,127,134,138,143,148,152,155,155,158,165,99,55,137,162,155,155,154,154,153,151,149,146,144,141,137,155,110,118,129,137,143,148,152,156,159,156,188,161,67,50,143,165,159,159,159,159,157,156,154,151,147,144,142,156,112,120,133,141,146,150,156,157,164,164,109,127,99,59,152,167,163,162,163,161,161,159,156,155,151,150,145,155,114,124,136,144,149,154,157,166,200,161,61,60,114,67,144,173,166,166,166,164,163,162,160,156,160,132,68,165,117,127,139,147,151,154,166,129,129,140,98,56,104,71,123,178,167,169,169,168,166,166,166,162,169,85,28,92,119,129,141,148,151,171,185,119,58,82,126,68,74,76,95,180,169,172,172,171,166,155,143,141,134,49,39,30,120,132,143,149,174,178,150,145,114,60,97,77,57,89,65,171,176,175,169,162,162,144,124,123,100,50,38,37,122,134,143,175,179,120,81,119,141,75,56,68,47,113,87,142,182,168,168,167,166,140,114,95,73,40,32,34,124,135,147,184,158,102,69,52,126,79,49,72,34,104,121,73,136,172,177,158,124,92,54,26,25,26,24,32,124,137,147,174,136,83,57,31,98,90,53,85,38,67,112,81,138,167,149,102,63,40,18,21,21,19,25,21,125,138,145,165,133,88,65,46,65,96,62,97,64,113,123,103,131,125,84,38,18,33,29,13,17,19,28,0,124,138,144,168,150,105,76,57,55,73,87,112,106,155,121,85,96,62,17,26,16,18,32,23,7,11,11,8,126,140,147,172,155,114,92,65,66,76,130,169,171,144,101,80,54,25,11,15,26,13,19,27,16,8,7,9,128,141,149,171,160,129,101,71,80,84,154,177,156,124,87,63,4,11,28,6,20,23,11,16,22,9,7,7,120,131,140,165,160,136,105,83,90,88,147,163,133,100,76,50,4,0,26,19,7,21,18,9,14,16,1,7,80,82,77,119,159,142,112,98,94,91,128,151,125,90,66,30,20,0,12,26,14,12,19,11,5,15,4,0,80,81,78,91,149,145,118,108,97,85,117,134,114,81,35,3,30,0,0,22,19,15,12,12,3,7,10,0,82,82,83,85,147,143,123,112,97,74,101,103,84,50,6,0,28,9,0,13,23,14,11,10,5,2,4,4,82,83,84,84,148,151,127,110,94,77,83,84,52,3,7,2,18,23,0,0,22,16,9,11,8,3,0,1,81,82,85,76,136,151,113,97,88,79,80,70,34,0,0,6,10,27,4,0,12,18,7,8,9,2,1,0
1,60,62,67,70,82,100,113,119,122,127,133,138,141,144,151,151,153,155,156,157,159,160,162,162,162,164,163,164,60,63,68,72,85,102,115,121,124,131,136,140,144,158,137,155,157,156,157,158,158,160,161,161,162,162,162,162,62,66,69,74,88,106,119,124,128,136,139,140,157,185,101,130,148,158,158,159,160,160,161,162,162,162,162,162,62,66,71,74,90,109,122,128,133,138,151,144,149,192,97,110,115,137,168,163,163,162,163,163,162,163,162,162,63,67,72,76,93,112,125,130,137,139,182,154,115,192,96,113,129,101,174,168,168,168,168,167,166,166,165,164,65,69,73,77,96,116,129,133,142,143,186,160,106,177,95,107,139,83,166,174,173,173,173,173,170,170,169,169,66,69,74,80,100,118,130,135,145,145,190,163,95,171,114,107,146,85,158,183,177,178,178,177,175,175,174,173,67,71,75,83,104,121,133,138,149,154,181,166,87,145,113,109,161,94,148,191,182,184,183,182,180,179,178,177,67,71,75,85,108,125,136,138,164,162,154,168,85,123,112,96,155,93,145,197,187,188,188,187,185,184,183,182,69,73,76,88,111,128,140,137,190,154,143,165,85,140,124,94,176,112,142,202,190,192,192,191,190,189,189,188,69,74,77,90,114,132,141,142,197,136,138,179,94,133,124,95,185,127,136,205,195,197,197,195,194,194,193,191,71,75,77,92,118,135,143,149,200,127,123,179,88,98,111,95,179,130,126,209,198,199,199,198,198,198,196,195,73,77,79,96,120,138,145,156,205,134,97,166,95,98,110,130,160,118,120,212,202,204,203,203,201,200,200,199,73,77,79,99,123,141,148,159,211,145,75,180,171,134,135,152,136,92,109,211,205,207,206,204,203,203,204,203,73,76,79,102,126,144,151,163,208,135,113,152,140,127,131,123,119,117,93,202,211,208,209,209,208,206,205,205,73,76,81,104,129,146,152,169,212,160,150,114,106,128,131,107,129,155,120,151,221,210,212,212,211,211,210,209,74,76,82,107,131,150,153,180,220,169,135,103,118,111,138,152,173,185,171,111,176,222,212,214,212,212,214,213,74,76,84,111,134,153,154,190,222,163,121,101,118,129,169,214,184,186,191,118,98,212,217,216,215,215,215,213,74,77,85,114,138,156,156,195,224,163,115,109,126,142,190,216,221,193,151,96,87,195,225,217,216,217,223,228,75,77,87,118,141,158,160,191,229,172,115,113,133,160,198,212,217,186,133,91,91,210,221,221,231,225,192,140,76,76,89,120,143,161,161,188,226,185,130,112,142,169,206,219,208,174,129,87,106,224,226,220,161,101,56,38,75,76,92,123,146,163,165,187,223,201,151,117,145,166,211,220,193,161,124,83,125,242,206,99,39,36,43,41,74,74,93,125,147,163,167,183,213,204,165,127,141,168,212,211,186,152,116,74,160,202,79,50,51,26,45,44,72,73,94,126,149,163,166,180,198,203,173,141,144,165,206,200,177,141,108,80,118,66,30,44,62,26,25,52,72,73,96,128,152,165,169,182,190,200,181,155,152,150,196,186,168,128,99,78,66,53,47,22,50,45,13,36,66,68,94,129,154,167,172,184,192,195,182,159,155,139,173,171,150,114,92,70,75,58,45,23,25,56,20,17,84,84,103,131,152,165,172,183,193,194,182,165,157,141,144,161,137,106,80,64,75,60,37,28,15,40,38,10,114,115,114,111,116,122,126,130,131,146,191,170,161,143,129,146,128,98,68,59,71,48,47,25,14,25,46,13
1,78,82,97,114,128,135,139,145,151,154,157,159,163,167,169,169,171,172,173,173,173,175,175,175,177,177,176,176,79,84,99,117,130,137,141,147,154,158,161,164,168,175,177,141,173,175,176,177,177,178,178,178,179,178,177,177,81,87,103,121,134,140,144,152,159,163,165,169,172,185,189,115,158,152,166,182,181,182,182,182,181,181,180,180,82,89,106,124,136,142,148,156,163,167,172,184,140,185,190,113,148,156,126,186,186,186,187,186,186,185,183,182,83,92,110,126,139,145,151,160,167,171,178,198,127,172,187,111,148,166,110,180,191,192,191,190,190,189,188,187,84,94,114,129,142,147,154,163,170,175,182,205,132,160,191,122,152,172,112,166,195,195,195,195,194,194,193,192,86,97,117,133,146,151,158,166,173,178,184,209,138,146,184,126,156,183,127,156,200,199,199,199,198,198,196,195,86,100,120,137,148,153,160,169,177,185,151,205,142,128,171,126,154,182,133,150,204,203,203,203,202,202,201,200,87,103,124,140,151,156,163,173,187,190,126,197,144,107,177,132,148,191,143,150,209,207,207,207,207,206,204,204,88,106,126,143,153,158,168,178,196,182,118,198,152,102,168,128,147,198,151,150,213,212,212,212,211,209,208,208,89,108,128,145,156,160,170,180,202,179,113,189,162,107,147,139,148,184,149,148,216,216,215,215,214,213,212,211,91,110,131,148,157,163,173,183,210,186,115,165,177,155,158,156,144,136,133,143,219,218,217,216,217,216,214,214,91,112,133,150,160,165,176,186,213,191,115,145,150,160,157,136,139,160,133,143,222,221,221,221,220,219,219,218,93,115,137,154,163,168,180,189,212,199,148,159,105,142,123,116,180,196,179,145,203,223,222,223,223,222,221,222,95,118,140,158,165,171,182,191,221,204,162,140,102,132,99,144,197,201,200,155,129,211,225,227,226,225,225,223,96,120,141,159,168,174,185,195,230,207,159,123,108,137,136,194,221,207,184,130,108,152,229,228,229,228,228,227,98,122,144,161,169,176,188,198,235,215,163,120,122,148,159,211,225,211,173,125,100,135,230,231,230,230,230,230,100,125,147,164,172,178,191,200,237,225,173,123,131,158,181,214,225,209,171,125,94,153,233,233,233,233,232,233,103,128,149,166,173,181,193,201,235,231,191,136,137,163,190,225,226,201,162,124,91,174,235,235,235,235,234,224,106,132,153,169,175,184,195,203,233,235,208,151,145,167,188,228,223,197,152,117,87,191,235,235,228,201,145,93,109,134,155,171,178,186,197,205,227,232,219,163,160,160,185,220,216,190,141,112,88,208,233,181,110,73,57,55,112,136,158,173,179,187,199,207,218,225,224,177,174,158,186,206,210,179,134,105,92,216,153,78,49,46,47,42,114,137,160,174,180,188,199,208,211,219,222,192,178,165,169,202,195,167,124,101,98,133,71,61,50,33,44,47,115,140,162,175,180,188,198,206,210,212,217,199,185,174,155,187,180,154,119,98,77,54,40,57,63,28,29,50,117,142,163,177,181,190,200,208,213,209,215,204,192,183,157,163,175,146,116,93,65,54,38,36,60,40,20,38,118,143,165,179,182,193,202,210,215,212,217,210,199,185,155,149,163,141,111,83,68,54,43,21,44,54,19,22,118,144,167,179,183,194,202,210,215,215,218,202,185,175,155,147,144,131,100,77,69,48,42,22,30,52,31,12,128,146,164,173,180,189,197,206,212,213,216,208,184,181,172,145,132,124,96,74,65,56,35,26,20,41,42,13
2,150,151,152,152,152,153,154,153,152,152,152,152,151,151,151,149,148,147,145,143,143,142,140,139,137,135,134,132,151,152,153,154,154,155,156,156,156,155,154,153,153,155,155,154,154,154,153,148,143,144,141,138,137,135,133,133,152,154,155,157,157,158,158,158,157,157,157,157,154,138,139,142,135,128,122,129,150,144,141,141,140,138,136,135,156,157,158,159,159,159,160,160,159,158,159,155,132,118,120,122,118,93,71,58,108,150,149,142,142,141,139,137,157,158,159,159,160,160,161,161,161,161,160,142,127,125,115,108,122,85,59,82,91,94,121,146,144,142,141,139,159,160,161,161,162,163,163,162,163,164,161,151,139,119,97,80,67,30,24,53,66,40,29,130,151,143,141,138,160,161,163,164,164,165,166,166,165,157,146,142,125,78,44,30,43,61,118,112,74,43,77,146,147,145,143,140,160,162,165,166,166,167,167,168,168,153,138,120,79,28,6,18,148,168,163,165,159,150,157,150,147,146,144,142,162,163,165,166,167,170,169,169,167,153,126,70,27,15,7,63,173,158,159,158,156,155,153,152,149,149,146,144,164,166,167,167,168,170,171,171,167,155,117,37,8,7,11,133,170,161,161,160,159,155,154,156,153,150,147,144,166,167,168,169,170,170,172,170,166,153,110,36,10,2,48,175,164,166,163,161,160,159,158,145,138,151,148,145,166,168,170,171,173,172,174,167,162,148,90,21,23,15,57,175,165,167,164,161,160,162,115,74,61,114,155,146,168,169,169,171,175,174,175,167,164,141,78,33,33,14,71,179,166,168,166,163,166,120,75,75,53,95,159,146,169,169,171,173,174,176,175,165,164,140,85,51,31,6,100,184,165,169,166,170,131,76,83,71,51,137,154,149,169,171,173,175,175,177,173,164,163,137,84,53,28,12,56,181,175,166,176,143,63,63,74,46,93,163,150,150,170,174,175,175,176,178,173,164,159,130,91,57,24,24,20,65,140,182,148,84,54,54,52,43,155,157,153,152,171,173,174,176,176,178,172,164,158,129,88,48,25,24,31,28,45,104,64,57,72,50,27,120,166,156,156,152,172,174,176,177,176,178,168,163,171,130,83,56,26,25,31,39,46,39,40,56,52,41,129,169,158,160,157,153,172,174,176,177,178,181,163,172,170,122,79,55,28,25,34,37,47,53,42,48,39,137,173,160,161,160,157,153,172,174,175,179,180,180,162,176,160,112,75,57,30,25,35,39,46,52,43,18,123,178,161,162,161,160,157,154,174,175,176,179,183,177,164,173,149,105,78,60,29,25,39,45,47,49,27,95,177,165,165,162,161,160,158,156,174,176,178,180,182,174,165,168,135,102,82,56,30,26,44,47,50,28,53,181,169,168,166,165,163,160,159,158,176,177,179,181,184,173,161,152,124,97,74,52,28,27,44,42,39,14,142,179,169,169,168,166,163,162,159,157,176,177,179,180,182,172,157,144,121,91,72,49,26,27,41,40,9,104,186,172,172,171,168,167,165,163,159,158,176,177,179,181,180,170,148,135,110,83,65,46,28,29,28,10,92,187,174,175,173,172,168,167,166,164,160,159,176,178,179,180,179,169,143,133,107,81,58,41,26,13,24,117,188,177,177,174,173,172,170,167,164,163,161,159,176,178,180,179,177,164,140,126,108,79,52,32,7,69,174,191,179,179,177,176,174,171,171,168,165,164,162,159,176,177,181,178,168,139,124,123,103,69,38,18,27,176,190,179,181,179,179,177,175,174,172,169,166,165,162,159
8,176,178,176,177,178,178,179,179,178,179,179,178,180,180,179,179,180,179,179,178,176,176,176,176,175,174,175,174,177,178,178,180,180,180,180,181,180,180,180,180,167,172,183,181,181,181,180,180,179,178,178,177,176,175,175,174,180,179,180,181,181,181,181,182,181,181,178,191,153,139,188,181,182,182,182,181,181,180,180,179,179,177,177,176,180,181,181,182,182,182,182,181,182,182,182,193,136,138,191,182,183,184,183,182,182,182,182,180,180,179,178,177,182,182,182,182,184,184,183,182,184,181,190,189,113,151,191,183,184,186,185,182,183,183,182,181,181,180,179,178,182,183,183,183,185,185,184,185,186,182,196,187,107,162,191,185,186,186,185,185,185,183,182,183,182,181,181,180,183,184,184,185,186,186,185,186,187,183,201,175,110,176,191,186,186,187,186,186,186,186,184,185,182,182,182,182,185,185,185,186,186,185,186,187,187,186,203,152,116,187,186,188,190,186,191,189,184,186,186,187,186,183,183,183,185,185,186,187,187,187,187,186,186,191,199,149,117,196,184,152,172,189,164,177,192,187,190,181,181,185,184,185,186,186,187,187,187,187,188,188,185,196,197,157,124,212,193,151,133,187,141,128,150,153,171,163,124,182,186,184,186,187,187,187,187,187,187,189,185,200,196,155,155,223,200,174,122,167,160,122,109,137,157,159,90,176,189,184,186,187,188,188,188,188,189,188,187,201,192,155,178,222,210,184,118,145,162,123,162,144,168,170,94,175,189,184,186,186,188,188,188,188,188,187,193,193,180,176,178,201,215,183,122,130,151,134,177,141,171,182,122,161,195,185,185,186,187,187,188,188,189,189,198,171,176,184,175,169,214,187,129,110,137,153,167,132,165,182,154,128,191,188,185,186,187,187,188,188,188,190,200,162,157,178,161,163,203,193,132,92,121,161,158,112,150,186,150,102,179,191,186,186,187,187,188,188,187,191,206,161,132,153,147,140,188,193,126,85,114,162,149,101,162,174,120,118,193,186,186,187,188,188,188,189,187,195,215,170,122,133,126,122,155,189,149,83,106,171,140,113,171,141,97,163,194,186,187,188,188,188,188,189,188,203,214,186,121,125,125,123,143,178,164,84,102,157,121,151,146,104,115,193,187,187,187,187,187,188,188,190,190,205,211,196,133,110,125,119,136,170,129,104,160,168,154,174,132,86,160,195,188,190,187,187,187,188,188,188,189,208,210,203,136,115,134,122,154,190,174,184,181,168,149,152,128,87,183,192,189,190,186,188,190,193,194,194,192,208,211,200,136,124,134,134,184,200,200,194,177,167,139,122,104,115,196,190,191,192,124,128,132,133,136,134,154,211,208,194,140,147,130,159,206,205,202,196,181,159,130,105,87,163,197,189,186,182,97,96,98,97,97,91,114,216,208,194,159,153,135,161,210,210,205,188,173,146,118,96,93,113,113,118,140,171,105,105,105,106,105,105,109,205,209,199,168,154,149,154,211,213,194,173,161,129,105,92,94,106,135,169,191,192,106,105,104,105,104,106,99,193,208,192,166,155,151,155,214,203,183,160,141,113,92,108,155,184,201,198,199,193,106,105,103,104,106,107,104,195,198,180,164,155,147,170,206,185,170,140,121,102,82,183,215,182,174,177,181,191,103,104,104,104,105,103,116,202,190,174,162,157,153,176,182,174,154,124,118,90,114,186,199,200,181,166,171,172,104,104,104,103,106,98,128,207,182,171,165,160,159,172,172,165,143,117,112,97,170,175,164,184,193,169,142,139
4,186,187,187,187,189,190,189,187,190,189,188,191,191,190,190,190,191,191,191,190,193,190,187,187,188,187,186,186,188,189,189,189,190,191,191,191,191,192,191,192,191,191,191,191,192,192,191,191,191,191,191,191,190,190,188,187,190,192,192,191,191,192,191,192,192,192,191,191,191,193,196,193,193,195,198,194,192,191,192,191,190,191,190,188,191,193,193,192,193,193,192,192,193,194,194,195,194,178,168,188,192,171,166,194,197,196,192,192,192,192,192,189,192,193,194,193,194,194,194,193,193,193,183,191,228,199,153,144,204,174,129,130,190,180,196,197,194,194,193,192,193,193,194,196,194,194,197,197,194,209,203,172,176,233,183,128,211,201,146,89,161,133,121,195,198,194,193,193,194,193,194,195,197,198,198,195,201,223,221,188,128,210,198,115,203,210,148,131,198,157,83,124,207,193,196,195,195,197,198,198,198,199,200,195,211,199,213,190,125,181,200,96,179,213,131,136,205,155,95,97,206,197,198,197,196,198,199,199,199,199,198,200,224,171,200,196,108,156,207,119,138,189,111,146,214,180,95,113,211,197,200,197,196,198,198,199,201,200,196,212,206,135,152,204,122,131,208,179,165,165,171,200,219,184,110,133,213,198,201,198,198,199,198,199,202,200,201,217,205,171,142,173,122,100,138,178,180,180,197,200,195,164,140,103,200,202,202,200,198,199,198,200,202,200,213,215,195,176,144,118,85,87,106,103,146,155,163,177,165,147,167,88,159,214,200,201,198,199,199,200,201,201,215,201,168,140,132,113,85,94,119,79,116,122,124,139,125,166,174,110,110,215,200,202,198,200,201,201,203,201,220,206,169,129,105,99,92,108,115,113,152,149,121,81,152,212,183,145,84,184,210,201,198,200,201,201,203,202,228,222,186,143,106,85,92,118,106,149,176,168,137,154,173,206,201,177,99,127,219,201,198,199,200,201,202,205,227,225,195,147,105,90,93,120,134,182,166,177,189,209,206,192,208,169,109,94,212,205,197,199,200,200,199,207,229,227,206,148,106,107,97,104,144,167,176,202,209,200,204,186,171,147,115,83,195,208,198,199,200,201,199,207,230,223,213,150,115,132,114,121,156,172,199,206,203,196,188,175,142,122,102,99,203,206,198,199,200,201,200,211,225,222,199,157,152,138,122,171,194,207,214,209,199,184,171,153,125,99,82,173,210,205,198,199,199,201,200,210,225,221,205,180,167,143,122,190,214,213,219,206,189,172,158,136,111,76,141,214,205,207,199,200,200,201,200,203,228,219,217,195,167,166,132,178,217,214,214,195,170,158,147,123,90,103,207,208,208,207,199,200,200,200,202,193,220,222,225,205,180,169,148,175,216,209,200,182,159,145,127,107,79,177,215,207,208,206,204,204,204,204,207,194,209,220,210,193,182,167,155,172,203,197,185,169,145,132,114,80,121,215,207,208,208,207,176,180,186,186,191,183,204,224,200,182,182,173,159,170,183,182,166,148,131,123,102,83,197,219,215,215,215,214,98,100,100,102,108,95,188,223,196,189,191,180,162,168,179,176,161,134,118,113,84,113,179,176,183,185,180,178,95,94,93,94,97,78,179,226,198,197,192,181,163,170,184,182,159,117,106,95,86,92,93,93,85,87,123,138,97,96,98,99,102,83,181,231,201,197,196,191,165,164,183,178,139,102,94,82,93,96,91,94,136,167,206,225,96,96,98,98,103,81,176,235,202,198,205,207,169,150,179,163,118,96,85,88,110,112,138,182,233,215,168,193
10,88,95,99,101,107,114,120,124,128,131,135,138,141,144,145,147,150,151,152,152,150,154,154,154,153,153,153,152,91,98,101,104,110,116,122,128,131,134,137,141,144,144,147,151,153,154,152,161,167,138,158,158,157,156,156,155,91,100,103,104,112,118,125,129,133,136,138,143,146,147,151,153,154,155,149,183,188,111,156,159,159,159,158,157,92,100,103,106,114,120,125,130,134,138,141,144,147,150,153,155,157,159,152,190,197,113,150,164,161,161,159,159,95,101,104,108,115,123,128,132,136,139,142,146,150,153,155,158,159,161,155,184,212,126,142,168,162,163,164,163,95,104,106,110,117,124,129,133,137,141,145,148,152,154,156,158,160,163,159,180,230,151,131,172,165,166,166,165,98,105,108,112,120,126,131,136,141,144,147,152,154,156,158,160,161,164,161,178,232,169,119,173,168,168,168,168,100,107,109,114,121,127,133,138,144,147,150,153,155,159,159,161,167,167,164,175,231,180,113,172,170,169,170,170,101,108,109,115,123,129,135,140,145,146,150,156,158,157,173,172,132,169,168,174,230,185,108,168,174,171,171,171,103,110,113,116,124,131,136,141,145,155,154,151,159,161,192,189,101,125,175,176,230,192,109,162,179,174,176,175,105,111,114,118,127,133,137,143,143,186,150,98,98,108,153,190,163,129,156,184,223,188,112,149,182,176,177,176,105,111,114,121,128,135,139,145,148,164,127,85,79,87,86,166,214,167,108,186,201,181,125,134,186,177,178,178,106,113,116,122,130,136,142,146,151,155,145,125,111,105,99,111,191,176,103,138,158,161,130,124,187,180,181,180,108,115,119,124,131,139,144,149,153,157,164,160,190,184,91,74,173,205,147,83,93,119,124,104,180,182,182,182,110,115,120,126,133,140,146,150,156,160,160,170,229,182,69,55,130,225,176,104,70,93,108,90,166,188,182,183,111,117,121,127,134,141,147,152,156,163,158,205,232,173,80,80,75,218,201,143,85,79,106,89,156,191,182,184,112,118,121,128,135,142,148,153,159,164,161,201,227,206,104,47,92,209,218,168,107,72,101,91,159,195,186,187,113,119,121,129,137,144,149,154,160,164,166,173,212,224,139,87,118,208,218,165,110,81,92,87,165,196,188,189,114,119,123,130,138,145,151,155,161,164,168,167,193,198,136,123,132,217,210,180,128,90,89,84,171,196,189,191,116,121,124,132,140,146,152,157,162,166,169,173,172,190,189,149,166,229,206,189,150,104,88,81,178,196,191,193,118,123,126,133,140,147,153,158,163,167,171,176,174,210,232,198,200,232,211,181,153,117,93,79,180,196,193,194,117,121,125,133,141,147,153,158,163,168,171,176,175,199,232,215,217,231,211,181,155,125,99,81,182,198,196,196,117,121,124,132,140,146,151,157,162,166,171,175,175,188,232,229,221,228,209,181,151,132,106,82,182,197,194,194,118,123,125,134,143,148,154,159,164,168,173,176,178,186,230,232,228,228,206,181,158,139,110,78,182,198,196,196,118,122,126,134,143,149,155,160,165,169,173,177,181,181,221,232,231,227,204,189,165,136,106,81,190,198,197,198,119,123,128,136,144,150,155,161,165,170,174,178,182,179,207,232,222,218,198,200,176,133,98,89,200,196,199,200,118,123,128,135,143,149,156,162,168,172,176,179,183,187,201,227,207,205,203,201,188,133,88,92,205,202,199,200,114,120,126,132,141,147,154,162,166,170,175,177,184,150,82,185,204,214,213,199,191,130,87,42,49,162,207,199
23,157,157,158,158,159,160,160,160,160,160,161,161,161,161,161,161,160,160,160,160,160,158,158,157,157,156,154,153,160,161,161,162,162,163,164,164,164,164,164,164,164,163,163,163,164,164,163,163,162,161,160,160,159,159,157,155,163,164,165,166,166,167,168,168,168,168,168,167,167,167,166,166,167,168,166,165,165,165,163,163,162,161,160,159,167,167,168,170,169,169,171,172,171,171,178,168,170,173,168,147,161,171,170,169,169,168,166,166,165,164,163,162,171,171,172,173,173,173,174,176,173,179,202,183,170,180,170,146,120,159,173,173,172,171,170,169,168,167,166,165,174,174,175,176,176,176,177,178,178,194,192,167,114,133,123,140,139,129,147,176,175,174,173,172,172,171,170,168,177,178,178,179,179,180,180,181,183,204,182,161,107,155,163,147,125,112,122,178,177,176,177,176,175,174,173,171,179,180,181,181,182,183,183,183,190,195,187,141,151,176,149,175,174,166,175,183,180,180,179,179,178,177,176,175,182,183,183,184,185,185,185,185,192,187,193,194,198,177,121,148,186,186,185,186,185,184,181,181,181,180,179,178,185,186,186,186,187,180,171,174,180,186,187,185,181,164,114,102,161,187,188,187,187,186,185,184,182,181,180,180,187,189,188,189,185,168,148,153,161,164,161,159,153,136,104,60,76,164,191,190,189,187,186,187,186,185,183,182,189,190,190,189,191,184,180,171,174,166,154,149,132,88,77,52,59,148,193,192,192,191,189,189,188,188,186,185,190,191,192,190,188,191,190,179,157,120,114,118,117,74,72,54,67,177,194,194,194,193,192,192,191,189,188,187,193,194,195,193,179,183,196,178,124,90,61,100,122,76,72,59,96,196,197,197,197,196,195,194,193,192,190,189,195,195,198,195,178,177,198,175,107,61,49,114,125,78,67,51,110,201,199,199,198,197,196,196,195,194,192,190,196,197,198,197,179,175,202,180,123,70,63,100,84,67,55,53,97,201,201,200,199,199,199,198,197,196,195,194,199,199,200,199,178,177,209,186,128,84,46,42,39,44,50,61,93,201,202,201,201,201,200,199,198,198,196,196,200,200,201,197,173,187,211,185,132,96,57,37,46,53,60,69,109,205,204,202,203,202,201,200,199,199,199,198,201,203,203,199,174,189,204,186,139,103,80,61,73,74,73,75,123,207,205,205,203,203,202,201,201,201,201,200,203,206,205,204,177,180,190,172,131,106,92,71,81,81,78,76,148,208,206,207,206,205,204,203,202,201,200,200,205,206,207,207,180,174,175,159,136,126,99,77,81,81,79,81,184,210,208,207,208,207,206,206,204,203,202,201,206,207,208,209,185,178,174,158,139,126,97,80,82,84,81,113,208,212,210,209,209,209,208,207,206,205,203,201,207,208,209,210,189,189,175,156,133,112,90,82,83,87,91,183,213,212,211,210,210,209,208,207,207,206,205,204,208,208,209,209,194,199,180,162,142,111,87,79,81,91,173,214,215,213,213,213,212,211,210,208,208,207,206,205,208,209,211,208,196,197,178,164,144,105,80,76,77,154,215,217,216,214,214,214,213,213,212,210,209,208,207,206,209,211,213,208,195,181,167,153,130,86,72,75,87,202,217,217,216,215,215,215,214,214,213,212,212,209,208,207,210,212,213,205,196,169,157,150,140,84,75,79,114,214,218,219,217,216,217,216,216,215,214,213,212,211,209,208,210,212,212,203,203,172,155,162,161,89,79,80,130,219,219,219,218,217,217,217,216,216,215,214,213,213,210,202
13,195,196,196,195,195,195,197,198,197,196,196,197,198,199,199,198,199,199,200,199,200,198,198,197,197,197,196,195,196,198,198,197,197,197,199,198,198,198,198,198,198,200,201,200,201,200,200,200,201,200,198,199,200,199,197,196,197,199,198,199,199,199,200,199,200,200,200,200,200,200,201,201,200,198,199,202,202,201,200,200,200,199,198,198,197,198,199,199,199,201,201,201,200,199,200,202,202,202,205,211,208,183,162,181,191,196,202,202,202,200,200,200,197,198,199,200,200,202,201,201,200,200,201,202,201,210,226,230,226,194,149,117,129,138,183,204,202,201,201,201,198,198,199,201,201,201,201,201,203,203,201,201,200,206,203,214,224,203,155,110,94,110,133,206,202,202,202,201,199,199,200,201,201,201,201,202,203,202,205,192,174,190,174,170,201,204,176,122,102,142,126,200,203,203,203,202,199,200,201,201,202,203,203,204,203,208,225,192,158,178,188,189,200,194,186,126,96,127,125,198,205,204,204,203,199,200,201,202,202,203,203,203,200,208,227,202,174,147,159,188,200,181,142,101,73,126,184,205,206,205,205,205,199,201,201,201,202,204,202,209,202,156,165,206,194,156,98,124,179,183,155,135,109,111,196,208,206,205,205,204,199,200,202,202,201,201,209,223,197,134,109,178,212,171,106,53,113,146,164,184,164,117,149,208,206,206,205,205,199,200,201,201,201,211,226,211,182,139,107,142,215,178,132,67,60,76,167,206,193,153,114,184,207,206,205,205,200,200,200,200,207,219,204,183,181,155,121,105,207,188,158,101,60,66,136,214,208,175,125,129,203,206,204,204,201,201,201,202,217,207,175,164,188,167,132,83,162,206,180,135,67,74,129,207,212,180,143,109,175,208,206,205,202,201,202,204,220,212,187,160,186,172,146,109,82,186,199,164,112,103,195,205,199,174,149,113,157,211,207,206,201,200,200,204,216,207,189,160,158,175,174,143,71,100,196,192,175,141,202,199,177,149,130,104,164,210,207,206,201,201,201,203,219,222,205,178,152,154,180,160,133,73,151,198,184,183,199,186,164,135,107,99,185,209,207,206,201,201,202,202,217,227,215,193,175,161,163,160,168,121,178,215,209,210,195,176,154,127,100,113,201,209,209,208,156,159,163,164,200,229,222,204,186,177,177,163,140,145,208,226,224,207,190,171,147,118,94,141,207,209,209,207,101,101,102,99,159,229,223,212,197,186,186,182,157,149,199,224,223,204,178,161,139,110,93,126,155,157,160,161,101,101,101,98,126,216,217,215,211,199,190,185,170,143,170,216,214,197,171,145,125,102,95,97,95,95,99,106,101,102,102,102,104,187,213,213,215,210,199,186,172,154,145,198,201,184,163,133,114,99,93,101,109,128,152,175,101,103,104,104,100,138,208,211,216,215,201,187,170,156,144,168,184,169,145,127,108,91,109,165,187,200,206,209,102,103,103,104,105,104,173,213,213,207,191,177,164,152,140,145,164,158,139,120,103,87,163,216,207,199,193,198,102,103,103,102,104,100,127,209,207,191,177,168,160,148,130,130,152,159,143,111,93,101,202,213,198,184,167,162,102,103,103,102,101,103,104,188,207,180,166,164,157,143,124,118,155,166,134,100,87,148,218,210,191,154,141,145,102,102,103,101,101,105,100,168,211,189,180,173,158,140,125,116,161,159,116,93,97,201,220,220,197,146,118,138,102,103,104,101,101,104,98,159,215,198,193,182,163,144,131,115,162,145,106,86,124,214,214,228,213,157,110,122
1,175,179,182,185,188,192,195,196,196,197,198,199,200,199,199,198,196,195,199,195,194,193,192,189,188,188,186,183,178,183,185,187,191,194,196,197,200,200,200,200,200,201,199,199,205,202,182,198,195,194,195,191,190,188,187,185,180,185,189,191,194,197,200,201,202,202,202,203,203,201,211,192,212,217,128,184,195,197,194,193,193,190,188,188,183,187,192,195,196,200,203,204,205,205,205,205,206,203,240,176,142,210,120,143,162,171,200,194,195,194,192,190,186,191,195,197,199,202,205,206,208,209,209,208,205,219,248,162,114,197,116,142,164,128,205,197,197,196,195,192,188,193,196,199,202,205,207,210,211,211,208,225,217,158,209,146,131,218,125,142,167,119,200,201,199,198,196,195,191,195,199,203,205,207,210,213,213,215,211,247,198,107,171,146,139,217,133,125,167,120,199,206,201,200,198,195,193,198,202,204,207,211,213,214,217,216,217,249,173,107,173,136,124,188,118,148,187,127,191,210,204,204,201,199,195,200,204,206,210,213,215,217,219,216,230,250,169,107,158,118,141,180,109,153,183,122,186,215,207,206,203,202,198,202,205,208,212,213,217,220,222,216,241,237,157,119,165,116,167,193,116,144,173,118,193,215,210,209,206,204,200,204,207,210,214,216,218,222,223,218,245,225,146,134,190,124,147,179,112,170,182,122,196,217,212,211,207,204,201,206,209,212,217,218,220,222,226,221,255,230,173,120,158,96,110,135,99,195,179,124,200,219,214,213,210,208,202,208,211,214,217,219,221,224,228,225,255,211,154,104,109,109,114,113,117,176,148,118,213,218,216,214,213,211,205,211,213,217,219,221,224,228,230,231,248,209,184,175,135,160,122,166,181,131,115,133,227,217,218,216,213,211,206,213,216,219,221,225,228,230,230,240,255,252,195,217,213,200,192,212,169,108,104,168,231,217,218,217,214,212,207,212,219,221,224,227,230,232,228,255,255,210,158,169,207,217,211,191,172,142,83,179,233,219,220,218,216,213,209,214,220,223,228,230,232,235,230,255,254,172,156,116,117,167,153,192,213,163,89,183,234,222,222,220,218,215,212,217,221,226,230,232,234,236,235,255,255,210,155,141,129,112,175,178,240,190,108,164,237,223,224,222,219,217,214,219,223,227,231,235,237,238,243,255,255,220,150,155,120,187,255,195,233,205,135,109,226,229,225,225,221,218,215,221,226,230,233,238,240,241,246,255,255,217,144,161,136,250,255,240,197,169,152,107,218,234,227,226,223,220,216,222,227,232,235,238,242,241,250,255,255,207,152,157,177,255,255,226,196,152,123,120,234,232,230,227,225,221,219,225,229,233,236,240,244,242,253,255,255,195,177,139,218,255,253,223,187,167,98,142,246,232,232,229,227,225,220,227,232,235,238,242,245,244,253,255,245,216,188,151,250,255,243,213,181,150,92,198,245,234,235,232,228,227,221,227,232,237,240,243,244,254,255,255,244,239,193,176,255,255,232,203,168,115,124,245,238,237,235,232,230,227,222,228,233,238,241,243,254,208,197,255,245,247,193,163,233,231,204,177,145,89,201,252,240,238,237,235,233,229,225,230,235,241,242,245,253,121,86,199,241,237,152,141,180,184,168,145,91,136,255,241,243,242,239,236,234,232,225,231,235,240,241,255,205,97,101,88,126,142,118,139,149,148,122,95,101,236,249,243,244,243,240,237,235,233,223,228,236,240,241,254,150,100,97,94,88,93,99,110,107,107,76,45,176,255,243,245,244,243,241,237,235,232
10,54,63,72,87,106,114,121,125,127,129,130,131,132,132,132,134,135,134,133,132,131,130,129,127,125,124,121,120,55,64,74,89,107,116,122,125,128,129,131,133,134,135,135,135,135,134,134,133,132,133,129,128,127,126,123,121,57,65,75,90,108,117,124,126,129,131,132,134,135,136,137,137,137,136,135,135,135,124,129,130,128,126,125,122,58,66,76,91,110,119,125,128,131,133,134,136,137,138,139,139,139,139,138,136,142,94,95,137,128,128,126,124,60,67,77,94,111,120,126,130,132,134,137,139,139,140,140,140,141,141,140,138,146,97,79,138,131,130,127,126,61,69,78,95,113,121,128,132,133,135,138,140,140,141,144,144,143,143,142,141,146,94,75,138,133,132,131,129,62,70,80,97,114,122,129,134,134,137,140,142,143,144,146,147,146,145,145,144,152,99,77,142,137,135,133,132,63,71,81,99,116,123,130,134,135,138,142,144,145,146,147,147,147,147,146,147,135,98,77,144,139,138,136,133,64,73,82,100,117,125,130,135,138,140,144,146,147,147,148,149,150,151,151,155,82,76,76,145,141,139,138,136,65,73,82,102,118,125,132,137,138,141,146,146,147,150,150,150,151,147,138,134,76,52,80,148,141,141,138,137,66,73,83,102,118,127,133,137,139,143,146,147,149,151,153,156,157,146,120,76,65,40,87,154,143,143,141,139,67,74,84,103,118,128,134,139,141,144,147,149,151,152,150,132,144,141,100,51,46,52,69,153,145,145,142,140,69,75,84,105,118,129,135,139,141,145,148,151,153,159,145,105,79,60,43,49,66,54,49,147,147,145,144,140,70,77,86,106,119,129,136,140,142,145,150,153,144,137,156,130,77,19,22,44,116,73,47,142,150,146,145,142,70,77,87,107,119,130,136,141,143,146,149,156,139,104,113,144,98,37,29,44,128,100,48,137,153,147,146,144,70,78,87,106,119,130,136,141,144,148,151,156,152,138,97,128,105,56,22,58,129,109,47,121,158,148,147,145,70,78,87,107,120,131,138,143,144,149,152,155,125,134,94,91,106,63,29,98,129,105,44,105,161,148,148,146,71,79,89,109,122,131,137,144,145,149,152,160,130,95,88,64,115,105,63,127,119,83,43,113,160,149,149,146,71,79,90,110,121,131,137,143,146,150,153,157,140,103,83,81,109,118,72,125,108,66,40,130,159,150,150,147,71,79,90,110,121,131,138,144,146,151,153,157,161,129,92,79,81,111,104,122,98,63,36,139,160,151,151,149,71,79,90,111,122,131,138,144,146,150,153,155,162,143,115,92,90,149,147,115,89,59,42,151,158,153,151,149,71,80,91,111,122,131,139,144,147,151,155,156,148,140,124,110,101,143,138,104,81,50,52,161,157,155,152,151,71,79,91,111,121,131,139,145,147,151,154,159,144,138,129,118,104,135,131,94,71,36,71,168,156,156,154,152,71,77,90,110,121,131,139,144,147,151,154,157,155,136,131,117,98,115,113,82,62,26,108,167,155,155,153,150,69,76,89,108,119,129,138,143,145,149,152,154,159,146,127,110,95,98,105,83,55,41,149,160,156,153,151,149,69,75,87,107,118,130,138,143,145,149,153,155,158,158,133,111,108,100,107,90,46,71,167,156,154,152,151,148,69,74,87,106,117,129,137,142,145,149,151,155,158,156,142,127,122,106,105,82,41,97,168,155,154,151,150,148,66,72,87,106,116,127,135,141,143,147,150,153,156,148,152,136,124,105,89,73,38,104,166,153,153,151,149,147
23,140,143,145,150,152,156,159,160,162,163,165,166,167,167,169,169,169,169,167,167,168,167,166,166,166,166,164,161,141,143,146,150,153,156,159,161,163,164,166,168,167,169,170,169,170,170,170,169,169,167,167,167,167,167,166,163,142,144,147,150,153,158,159,162,164,165,167,169,170,171,172,171,171,170,171,171,171,170,170,169,168,167,167,166,144,145,149,153,156,158,161,163,164,166,169,168,168,168,164,173,174,172,173,173,173,172,171,171,168,169,169,168,145,145,151,154,158,160,163,166,167,165,165,175,187,183,148,124,164,175,175,174,173,174,172,171,170,169,169,168,144,146,152,156,158,161,164,166,165,173,195,191,188,177,159,146,146,124,175,176,174,174,173,173,172,170,170,169,146,147,151,155,158,162,164,168,165,190,190,148,151,119,123,141,117,124,177,175,175,175,175,174,173,171,171,171,147,148,152,156,160,164,166,170,168,188,169,137,86,127,175,169,164,178,177,176,176,176,175,175,174,174,173,171,146,149,153,157,161,165,168,171,168,192,172,155,75,146,187,182,184,179,180,179,179,178,176,175,176,175,174,172,148,150,154,159,164,165,168,171,169,194,175,157,99,158,184,133,173,182,180,180,179,179,178,177,177,176,176,174,149,152,155,158,164,166,168,173,170,199,184,189,202,203,190,89,132,193,179,180,180,181,180,179,178,177,177,175,150,153,157,160,164,167,170,169,175,205,212,215,195,185,142,91,116,194,185,182,182,182,181,180,180,179,178,178,150,153,158,161,165,168,169,184,197,204,209,201,191,180,95,120,147,115,168,183,186,183,183,183,181,180,180,178,151,153,158,162,166,166,199,208,200,205,209,203,188,155,85,111,145,78,81,109,146,189,183,183,182,182,181,180,152,155,159,165,167,171,209,193,186,193,192,178,181,132,79,77,114,92,83,95,90,177,188,185,184,185,182,180,152,155,160,166,166,176,206,188,197,209,202,194,174,124,89,71,78,96,92,103,98,171,191,185,186,185,184,183,151,155,160,166,168,167,216,213,213,205,184,164,142,106,95,86,50,72,94,101,103,175,191,187,187,186,185,184,152,155,161,166,169,167,217,212,188,151,119,110,98,102,106,76,33,69,98,106,109,181,191,188,188,188,186,186,154,156,161,166,170,166,206,190,164,123,100,62,76,116,105,60,61,80,99,107,107,184,192,189,188,189,188,187,153,157,163,167,171,165,194,191,154,106,83,55,97,89,63,61,81,92,93,105,116,191,191,191,191,190,189,187,155,158,163,168,174,162,192,189,145,114,96,72,53,44,64,79,93,101,98,102,161,197,191,191,192,192,189,188,154,158,163,167,174,160,189,189,153,124,100,94,65,60,91,104,110,113,100,134,200,193,194,194,193,192,190,189,153,158,164,167,176,157,187,194,159,128,107,104,87,76,106,114,115,115,101,158,203,195,196,194,194,194,192,191,155,158,165,169,176,158,180,192,155,133,112,107,95,81,105,113,114,110,108,181,199,195,196,196,195,194,193,193,156,159,165,170,177,162,176,188,152,134,113,107,98,88,103,110,116,104,136,203,197,196,197,197,196,194,193,193,155,159,165,169,177,169,175,182,152,131,113,103,102,99,106,112,108,123,189,201,198,197,197,197,197,196,194,193,155,160,166,170,177,171,175,177,143,123,108,105,106,104,104,109,126,191,203,200,200,200,199,199,197,196,195,194,155,159,165,170,176,170,178,181,140,120,109,107,107,107,107,104,173,204,198,200,200,200,199,199,198,196,195,194
12,137,138,140,142,144,144,145,147,148,149,149,148,147,147,147,145,145,145,145,143,143,143,142,142,141,139,139,140,139,140,142,144,145,146,147,149,150,149,149,149,149,149,149,148,147,146,147,146,145,145,144,143,142,141,140,140,141,141,143,144,147,148,149,150,151,150,151,151,150,151,150,150,150,148,148,147,146,146,145,145,144,144,142,141,142,143,144,146,149,149,150,151,152,152,152,152,154,153,152,152,152,154,150,148,147,148,147,147,145,145,144,143,142,144,146,147,150,150,151,154,155,155,153,154,150,154,157,152,137,128,149,154,154,151,148,150,146,146,145,145,143,146,148,149,151,152,153,155,155,155,157,156,126,100,146,158,121,61,85,151,127,144,155,148,149,149,148,146,145,148,150,151,153,156,157,157,158,155,166,170,128,75,78,156,104,79,42,107,93,57,117,156,148,150,148,148,148,150,151,155,155,156,159,158,157,155,166,160,114,74,52,155,114,90,48,89,97,50,44,143,152,149,150,150,150,150,153,156,156,156,157,159,168,125,131,159,104,63,48,168,159,106,70,86,86,58,36,129,158,150,151,151,151,152,154,156,157,159,158,184,173,132,95,150,146,67,36,190,182,97,75,129,102,64,34,137,159,151,153,152,152,154,156,158,159,159,170,203,173,146,76,145,183,77,49,131,126,51,105,160,100,52,36,147,159,156,154,153,153,156,157,157,162,157,178,189,173,140,75,94,142,76,59,72,112,93,122,121,58,22,60,164,156,158,156,155,155,157,158,159,161,163,197,178,143,104,73,34,48,49,70,88,139,169,131,90,63,25,123,167,157,159,158,156,156,157,161,163,159,187,193,170,114,74,62,33,5,86,167,162,152,138,112,99,99,40,135,166,159,159,158,158,157,158,161,164,159,192,199,155,107,108,72,11,74,182,180,168,144,131,101,92,85,42,140,169,161,161,159,158,157,159,163,165,162,197,200,147,104,132,84,76,167,193,181,168,144,123,106,83,65,38,154,166,164,163,161,160,158,160,162,165,166,204,198,163,150,121,127,155,188,188,178,160,140,114,101,75,53,31,149,169,164,164,162,162,159,162,164,165,170,204,197,177,171,134,127,162,189,182,167,155,129,103,89,68,47,24,141,173,165,165,163,163,162,163,165,167,170,200,198,183,174,140,138,170,177,169,152,143,116,94,80,58,39,24,155,172,166,168,165,164,162,164,165,169,169,195,195,188,172,144,129,162,163,154,148,133,103,82,64,51,17,83,177,166,168,167,166,165,163,164,167,168,166,191,193,187,171,135,124,143,148,146,135,118,88,69,59,31,64,173,171,168,169,168,167,166,163,165,166,173,176,183,189,185,149,113,126,140,145,148,131,107,88,72,43,65,171,173,169,169,170,169,168,167,163,163,172,150,133,184,175,159,139,134,142,141,154,152,126,93,86,61,34,154,180,171,171,170,170,169,169,168,164,165,178,92,14,157,189,166,162,151,133,125,151,139,102,80,75,30,112,184,172,173,173,172,171,170,169,168,164,172,146,67,47,61,156,170,158,141,121,109,133,110,80,71,38,75,185,175,176,174,175,173,173,171,171,170,162,178,101,51,72,23,45,78,72,67,63,68,88,77,64,45,39,170,181,175,175,175,176,175,174,173,172,171,167,159,69,55,66,40,0,30,24,20,10,7,8,15,23,5,34,162,180,176,176,176,175,175,173,172,172,172,172,115,55,58,62,52,0,13,27,22,12,10,6,3,0,0,0,112,189,174,177,175,174,174,172,171,172,171
20,138,141,144,148,150,152,154,156,157,159,160,160,160,161,161,162,163,163,163,163,164,165,165,164,164,164,163,161,141,145,148,152,154,156,158,159,162,163,164,164,164,174,146,151,166,166,166,167,167,167,168,167,168,167,166,165,144,148,152,155,157,160,162,164,165,166,167,168,171,190,131,124,161,167,170,170,170,170,171,171,171,170,168,167,148,151,156,158,161,164,165,167,169,170,171,171,176,193,131,110,138,142,175,174,174,174,174,174,174,173,171,170,151,155,159,162,165,167,169,170,172,173,174,176,179,191,131,127,151,117,175,177,176,176,177,177,177,176,174,174,155,158,162,165,168,170,172,173,175,176,178,179,183,193,136,141,162,110,170,181,180,180,180,181,180,179,178,177,157,161,165,168,171,173,175,177,179,180,180,180,187,197,141,144,173,114,166,185,184,183,184,183,183,182,181,180,159,163,167,171,174,176,179,180,181,182,184,183,193,197,142,145,183,121,159,188,186,186,187,186,186,186,185,183,163,165,169,173,176,179,181,184,185,186,185,184,200,201,146,151,185,128,150,191,189,190,190,189,189,189,187,186,165,168,172,175,178,182,184,186,188,190,187,167,189,204,144,155,194,136,144,194,192,193,193,192,192,191,190,188,167,170,174,177,181,184,187,187,185,194,204,167,149,159,122,143,196,142,143,196,194,195,195,195,194,193,192,191,169,173,177,179,183,187,189,193,184,171,201,182,128,106,92,125,172,140,140,197,197,198,197,196,196,196,195,194,171,175,179,182,186,190,191,200,201,166,166,181,150,138,116,113,141,132,136,199,199,200,200,199,199,198,198,196,173,176,180,185,188,192,194,193,185,164,137,174,169,175,156,109,105,116,127,199,200,201,201,200,200,200,199,199,175,179,183,186,190,194,195,190,163,158,125,176,166,167,163,116,83,91,120,201,201,202,203,202,203,202,201,201,177,181,185,188,191,195,196,197,185,159,133,134,122,103,160,140,94,75,111,201,204,205,206,206,205,203,202,201,177,181,186,189,193,196,198,204,181,135,100,75,71,69,146,169,120,80,97,198,207,207,207,208,206,205,204,203,179,183,187,191,194,198,201,205,185,148,113,94,93,105,168,196,148,100,92,191,209,208,208,209,208,207,207,206,180,184,188,192,195,198,200,207,196,154,122,112,126,170,211,195,153,116,96,189,211,209,210,211,210,209,209,208,181,185,189,193,196,200,201,209,202,165,134,133,148,201,215,185,140,108,99,197,212,210,211,211,211,210,210,209,181,187,191,194,198,201,201,210,210,182,153,143,156,208,202,169,127,96,103,203,213,212,213,213,213,212,211,210,183,187,192,196,200,202,202,209,215,190,160,154,162,209,194,155,118,92,107,206,214,215,215,215,214,214,213,211,183,188,193,196,200,202,203,205,209,189,172,173,164,206,187,142,108,89,116,209,215,216,216,216,215,215,214,212,183,187,192,196,199,201,203,202,198,189,173,175,157,195,171,132,101,84,128,214,215,215,215,216,216,216,214,213,184,188,193,197,199,201,203,203,199,189,172,169,144,173,151,119,99,84,148,215,214,214,215,216,216,215,215,214,185,189,193,196,199,201,203,203,203,192,166,150,125,153,133,114,101,95,184,216,215,215,216,216,216,215,215,214,185,190,193,196,199,201,203,202,206,194,167,139,130,156,124,117,95,130,210,216,216,216,217,217,216,216,216,215,185,190,194,197,199,201,204,201,208,202,179,155,149,158,116,112,89,174,215,216,216,217,219,217,217,217,216,215
12,152,154,155,157,157,158,158,160,162,163,163,164,165,166,166,166,165,167,169,169,169,169,169,169,169,168,169,170,153,155,156,157,158,159,159,161,163,165,165,158,152,160,168,162,153,155,166,170,170,170,170,170,169,169,170,170,155,155,156,157,159,159,160,162,168,181,177,150,128,133,167,158,137,127,151,166,168,171,171,171,170,170,170,170,155,156,157,158,159,161,162,164,182,199,185,150,128,117,158,156,136,115,120,138,147,160,170,171,171,171,172,171,155,156,157,159,160,161,162,168,190,188,179,160,144,117,146,161,144,114,102,118,116,125,162,173,173,174,173,173,156,157,159,160,161,162,163,174,195,173,170,163,142,112,131,160,144,110,105,125,114,101,147,174,174,174,174,174,158,159,160,161,163,164,163,176,194,165,164,152,125,93,91,126,117,97,117,139,121,103,144,174,174,175,174,174,158,160,161,162,164,167,159,157,165,138,152,151,130,100,79,92,86,84,136,149,121,105,153,175,175,176,175,174,159,161,162,163,172,180,162,139,124,113,133,149,145,138,125,119,105,88,118,124,103,106,161,176,177,176,175,174,160,162,163,168,190,195,171,143,114,108,126,134,133,143,147,149,143,112,87,81,83,116,170,178,177,176,175,174,162,163,164,181,196,195,180,152,121,110,123,120,109,119,132,156,167,143,104,70,76,132,176,178,177,176,175,175,162,163,169,193,185,181,181,159,128,107,105,107,97,102,120,161,176,166,137,92,83,147,179,179,178,176,176,175,161,163,179,192,167,156,168,162,137,111,96,99,95,105,127,161,176,175,160,121,100,157,180,180,178,177,177,176,161,165,188,190,169,150,147,159,142,113,95,96,94,105,123,154,174,174,167,143,116,160,180,180,178,178,178,177,161,167,193,190,170,144,125,145,145,117,98,92,95,108,131,152,165,171,162,150,124,148,179,179,180,179,179,179,161,168,191,177,151,127,108,121,146,131,114,95,102,117,149,168,167,164,152,141,124,129,174,181,181,180,181,181,162,170,196,183,159,137,119,113,134,142,135,110,115,137,170,180,175,162,145,131,118,120,172,182,181,181,181,181,164,173,201,191,167,146,130,114,117,133,128,120,133,165,187,185,177,161,142,124,108,125,175,182,182,182,181,181,165,175,204,195,172,154,138,118,116,130,120,129,156,186,193,185,174,160,143,121,102,134,179,183,182,182,182,182,166,178,208,198,177,162,146,125,120,136,133,150,181,199,194,182,170,157,142,119,100,142,181,183,183,182,182,182,166,181,212,199,180,167,153,137,126,137,145,165,196,203,193,179,166,155,139,115,101,152,182,183,183,182,182,182,165,182,213,202,184,171,158,148,134,138,153,171,201,201,188,176,164,153,134,110,106,162,183,184,183,183,182,182,165,180,210,205,191,176,164,155,144,139,157,172,201,196,182,173,163,150,130,105,114,170,183,183,184,184,183,183,167,176,203,207,197,182,170,162,152,142,156,171,197,192,175,167,160,146,125,102,127,177,183,184,184,183,183,183,167,171,197,209,199,187,175,168,157,144,150,165,191,188,171,163,156,140,120,102,144,181,183,184,185,184,183,183,167,169,191,211,202,190,179,169,157,147,146,156,181,182,167,159,152,137,114,107,160,184,184,185,185,185,184,183,167,167,187,213,204,190,178,166,154,147,146,151,169,173,159,152,148,135,108,121,174,184,185,185,185,184,184,184,166,167,188,215,202,185,175,163,152,145,146,149,162,166,154,148,146,130,105,137,181,184,185,185,185,184,185,184
12,62,66,71,77,90,102,109,115,120,125,126,128,131,132,136,138,141,143,144,145,146,149,150,150,150,150,151,151,62,67,72,77,92,105,110,116,121,125,126,129,131,135,137,139,141,145,146,146,148,149,150,151,152,152,153,153,64,67,74,79,92,104,112,119,122,125,128,131,134,135,139,144,142,147,140,149,150,152,152,152,153,155,155,155,64,69,75,81,95,106,113,119,123,126,130,132,133,148,117,116,153,156,106,102,155,149,155,156,154,157,156,157,65,69,76,83,98,107,114,119,124,128,133,127,156,168,126,91,133,160,118,76,107,116,100,150,159,157,157,157,65,70,77,83,98,109,115,121,126,130,134,127,178,177,138,106,114,161,132,102,73,114,82,100,162,158,159,159,66,71,78,85,101,111,116,122,127,131,134,135,181,194,156,111,111,167,131,103,67,106,104,68,145,164,159,160,66,73,79,88,103,112,117,124,128,133,128,144,166,178,170,111,101,173,132,96,63,105,98,69,148,164,162,162,69,74,80,89,104,112,119,124,128,124,136,151,154,142,147,101,80,143,122,85,63,108,91,78,159,166,164,163,68,74,80,91,105,112,118,124,127,170,188,126,84,89,128,85,65,114,93,73,68,102,80,95,171,163,165,164,69,75,80,93,107,113,121,118,154,207,160,111,90,63,113,97,62,100,95,74,69,95,75,104,173,164,166,165,70,76,81,94,106,113,123,122,177,152,142,121,103,65,95,127,65,99,129,84,80,127,90,112,176,165,167,167,71,76,82,95,108,114,119,131,178,132,124,134,107,82,46,71,41,66,106,76,85,134,101,64,134,175,167,168,70,77,83,97,109,116,117,140,177,138,110,126,101,89,41,28,58,90,89,89,116,103,79,68,87,173,168,169,72,78,84,98,109,115,117,142,191,150,120,100,89,74,36,50,102,141,145,138,130,105,100,86,98,174,169,170,73,78,85,101,110,118,118,148,191,151,133,98,74,75,62,91,142,161,158,144,126,102,94,77,129,177,169,170,74,78,86,103,112,118,118,152,187,157,137,106,92,113,107,146,169,168,160,136,114,100,82,77,158,173,171,171,74,80,87,103,110,119,121,147,179,152,132,108,109,114,113,166,165,167,157,124,105,96,75,103,176,169,172,172,74,80,88,104,110,119,124,138,174,148,129,115,111,103,122,157,157,163,142,114,99,90,74,145,176,170,173,172,74,79,90,105,111,119,126,133,170,145,134,128,115,116,140,153,158,150,127,108,93,79,92,173,172,172,172,174,76,80,90,106,113,122,127,128,158,151,143,140,126,120,139,147,146,128,108,97,89,73,129,178,171,173,175,175,76,81,92,107,114,120,127,127,148,159,142,133,121,108,114,130,129,113,96,89,81,90,168,173,172,173,176,175,77,81,93,106,112,121,126,130,142,167,136,127,114,102,102,111,106,99,88,89,74,135,178,171,174,175,175,175,77,81,95,108,112,122,126,132,137,171,151,125,105,98,107,104,105,99,87,79,95,172,170,173,175,176,176,176,77,81,96,108,114,122,127,134,135,170,165,131,117,116,119,103,105,100,85,68,131,178,171,175,176,176,177,177,78,83,97,108,114,122,129,131,147,183,176,139,131,124,121,100,96,88,80,59,142,178,173,175,176,177,178,178,77,83,98,109,115,124,125,150,177,164,194,148,139,123,116,99,87,79,77,57,144,179,171,176,176,177,178,178,78,83,99,109,116,124,128,181,190,144,164,148,138,120,112,94,78,79,76,60,153,178,173,176,177,177,178,178
4,84,89,95,97,100,105,107,109,112,113,115,118,120,122,124,125,125,125,127,131,130,131,133,133,133,133,133,134,84,90,96,99,101,103,107,110,112,114,115,118,121,124,123,123,127,130,129,128,133,132,133,134,134,134,134,135,86,91,96,99,103,106,108,110,112,115,116,120,117,124,127,127,124,117,128,132,130,136,135,135,136,135,135,135,87,93,96,100,104,107,110,111,114,115,113,124,135,117,110,147,127,79,62,112,97,90,136,137,136,137,137,138,88,94,97,101,104,108,112,111,114,132,111,101,126,124,70,113,119,75,30,65,92,49,87,145,135,138,138,138,87,93,97,101,105,109,113,108,134,159,135,106,70,79,63,86,116,64,26,92,93,52,44,143,140,140,140,140,88,94,99,101,106,110,111,111,156,127,137,98,63,35,42,98,132,59,71,112,72,31,29,137,141,139,141,141,90,95,99,102,106,111,106,125,145,98,132,71,41,39,36,71,107,102,122,100,77,20,43,143,140,141,142,142,90,96,100,104,108,112,106,140,140,107,122,73,35,54,70,73,103,120,101,107,101,66,64,152,140,143,144,144,88,96,101,105,107,112,110,153,131,114,106,87,19,75,131,108,106,100,84,128,114,101,76,133,146,142,146,146,90,97,102,105,109,110,121,150,108,85,74,55,12,34,97,88,87,56,65,136,129,122,90,73,144,146,146,146,90,96,102,105,111,106,138,149,110,87,69,42,22,14,25,40,41,53,94,117,132,124,107,66,89,154,145,147,90,97,102,107,112,109,158,143,114,99,77,55,35,25,26,35,79,139,133,120,116,99,98,87,49,129,152,147,92,99,102,108,108,117,168,142,126,103,72,55,41,34,74,125,151,150,129,115,101,77,78,80,48,115,157,147,93,99,103,108,105,135,174,146,125,95,75,70,46,75,138,152,150,148,127,107,90,68,59,61,56,142,150,149,93,99,105,109,106,150,176,145,117,97,92,78,70,125,140,143,147,138,119,98,80,61,55,43,105,157,147,149,94,98,104,110,105,156,173,139,122,117,107,87,109,133,139,142,138,127,107,87,71,57,44,63,149,148,151,152,94,100,104,112,107,160,173,146,135,127,110,102,127,135,143,138,122,112,93,77,65,53,39,124,156,148,153,154,96,100,106,110,106,153,172,154,143,127,110,99,120,134,133,126,110,99,84,67,60,38,81,158,149,150,154,154,96,102,106,110,107,142,170,152,142,127,105,91,111,122,120,113,98,89,74,60,47,48,141,155,151,151,153,153,97,102,107,112,111,131,165,142,126,116,99,98,110,120,119,107,88,78,64,52,37,120,157,152,154,154,154,154,97,102,108,113,112,128,156,125,119,112,104,111,104,110,111,99,83,69,58,34,95,157,151,153,153,155,155,155,97,102,106,114,111,126,152,123,128,119,127,123,100,98,104,90,71,64,40,65,152,150,153,154,154,155,155,155,98,103,108,113,113,136,152,137,131,127,123,114,95,83,95,81,64,56,38,131,153,151,155,155,155,156,156,156,99,104,108,108,141,157,130,125,137,131,114,101,88,76,82,72,63,36,77,158,149,154,154,154,155,156,156,156,99,104,104,123,160,149,152,91,99,132,106,92,84,68,68,65,60,28,96,160,150,153,155,155,155,156,156,157,100,105,108,153,151,148,153,150,76,79,94,89,75,53,63,58,54,29,102,160,150,154,155,157,156,157,157,158,102,99,135,160,142,151,150,149,151,68,57,80,65,52,59,53,51,27,108,160,152,154,155,157,158,158,158,159
12,180,181,181,182,182,182,182,182,183,184,183,183,183,183,183,183,183,183,183,183,183,183,182,182,180,180,179,179,183,183,183,184,183,183,184,184,185,185,185,186,185,185,185,184,184,184,185,185,184,185,184,183,183,182,181,180,184,184,184,185,185,186,187,185,187,186,187,189,188,186,188,186,185,186,187,187,186,186,185,185,184,183,182,182,186,186,187,188,186,188,188,187,189,189,191,190,188,190,190,188,187,188,187,188,188,187,186,186,185,184,184,183,187,188,189,190,189,189,190,190,189,188,183,189,195,181,184,192,189,190,189,190,189,190,189,188,187,187,187,186,189,190,191,191,190,191,192,189,201,205,173,146,200,188,148,168,197,192,195,190,191,191,191,190,190,189,189,188,192,192,192,192,193,192,195,190,225,227,199,134,162,220,166,133,193,175,175,195,193,192,194,192,191,190,190,190,191,191,193,195,194,194,194,194,223,231,211,157,128,214,191,148,129,164,129,160,202,193,195,192,193,193,192,191,193,195,196,196,195,197,195,199,222,214,219,182,124,177,199,159,105,127,133,106,196,197,195,195,195,194,193,193,195,196,197,197,197,195,200,190,207,195,208,201,160,121,166,140,90,80,114,100,187,200,197,197,197,196,195,194,196,197,198,199,193,207,225,163,141,160,174,174,130,93,112,116,94,160,123,101,196,199,199,198,197,197,197,196,196,198,199,197,215,235,206,153,124,144,124,151,144,122,153,181,180,169,108,111,205,200,201,200,199,198,197,198,197,199,198,207,229,208,200,168,134,99,102,106,145,158,173,211,222,194,126,131,215,200,202,202,200,201,199,198,198,200,197,223,209,188,208,183,141,99,102,104,94,102,136,209,224,224,184,134,174,209,201,202,201,201,201,200,199,198,205,222,202,170,206,185,164,113,97,112,116,122,171,202,205,195,180,165,121,193,206,202,203,202,202,201,200,197,214,230,205,167,155,205,195,133,97,115,133,184,214,201,201,168,157,173,118,174,212,203,204,203,203,202,202,200,209,234,220,194,149,161,185,190,126,116,204,218,203,199,189,164,139,136,111,196,208,204,204,203,203,203,202,200,208,236,228,203,173,162,151,158,148,197,233,215,202,193,175,155,128,102,133,214,206,207,205,204,204,203,203,201,207,229,230,216,188,182,167,136,187,230,223,219,189,175,157,149,118,92,174,214,207,208,206,205,205,204,203,203,204,223,228,226,207,191,177,166,174,223,219,209,178,154,150,144,106,114,209,208,208,207,207,207,206,205,201,203,197,213,234,229,213,197,181,177,171,217,210,188,166,137,154,136,91,155,218,207,208,207,208,207,207,207,200,203,199,194,230,220,203,194,184,181,178,198,196,166,148,145,151,119,95,197,212,209,208,207,208,208,208,207,202,203,204,192,224,208,194,188,187,182,177,184,180,166,145,146,138,97,134,216,207,208,208,208,208,207,206,206,203,203,204,199,221,210,200,200,195,183,173,181,188,168,134,127,114,102,196,212,208,208,208,208,208,207,206,205,204,203,204,198,221,215,207,206,195,190,170,183,190,147,119,116,95,168,217,209,210,209,209,209,208,208,208,207,203,204,205,197,222,221,212,213,197,198,167,178,176,136,117,97,131,218,210,211,210,209,210,210,209,208,208,208,202,203,206,196,215,229,216,218,202,198,164,165,167,138,111,93,191,216,209,210,209,210,211,210,209,208,209,208,200,201,205,197,211,230,213,208,199,192,159,153,166,135,96,117,216,210,211,210,210,211,210,209,209,209,210,209
10,133,135,135,135,136,137,137,138,137,136,136,137,136,135,134,133,131,131,128,128,128,125,124,123,122,120,119,119,139,139,140,141,140,141,140,142,141,140,140,140,139,138,137,135,134,132,135,125,123,128,126,124,123,123,121,119,145,144,145,147,147,146,147,147,146,146,145,144,143,142,141,138,138,132,159,123,85,134,127,125,125,124,124,122,149,150,149,151,152,151,151,150,150,150,149,148,148,146,144,142,142,137,165,131,71,131,130,129,128,126,125,123,155,155,155,155,155,156,155,154,154,155,154,153,153,151,148,147,146,142,167,130,69,129,137,132,130,128,127,125,160,159,160,159,161,161,159,159,160,160,159,158,156,155,153,151,151,148,168,120,65,131,142,136,134,132,131,129,164,165,164,164,166,165,164,164,165,165,164,162,161,159,158,156,155,152,174,136,69,133,147,140,138,137,134,131,168,169,169,169,169,170,169,169,170,170,169,167,165,163,162,161,158,159,181,130,105,138,149,144,141,140,137,134,171,171,173,173,173,174,173,172,173,174,172,171,170,168,166,165,161,174,176,153,131,98,158,147,145,142,140,138,174,175,175,177,177,177,177,176,177,177,176,175,174,172,170,169,163,149,154,173,121,64,160,151,148,146,144,141,177,178,179,180,179,178,179,179,179,180,179,178,177,176,175,174,172,147,123,135,137,53,111,168,151,151,147,145,181,181,181,182,182,182,182,181,183,183,182,181,179,179,174,170,187,184,146,102,92,85,49,144,161,154,150,149,184,183,185,185,186,186,185,186,187,187,186,186,187,184,153,118,112,155,164,158,109,74,55,91,171,154,154,154,186,186,187,188,188,188,188,188,188,188,189,169,141,171,174,139,75,32,149,168,92,51,42,92,173,158,158,156,189,190,190,190,192,190,190,191,190,188,188,168,126,111,188,167,116,21,31,78,85,62,37,105,177,161,161,159,192,192,192,192,194,193,192,192,193,191,185,186,172,119,145,190,132,68,19,30,144,107,42,114,179,165,163,160,193,193,194,194,194,194,194,195,194,192,158,149,178,143,94,168,143,85,33,61,144,140,53,112,183,167,166,163,194,195,195,195,196,196,196,197,194,193,171,108,131,135,46,109,153,78,40,73,133,140,51,103,184,168,168,165,196,197,198,198,199,199,199,199,198,185,159,113,90,115,60,69,156,125,63,84,131,100,42,117,185,169,169,166,199,199,199,200,200,200,200,201,197,188,184,158,96,103,102,67,138,165,94,71,113,68,42,155,182,172,171,168,200,201,200,200,201,202,201,202,199,191,199,168,124,102,99,85,146,147,77,59,97,56,63,184,176,175,173,171,201,201,201,201,202,202,202,202,203,189,199,185,148,116,108,132,195,174,113,87,89,47,100,194,177,177,175,172,203,203,203,203,204,205,205,206,207,190,186,185,160,130,121,142,192,187,156,113,85,40,137,194,179,179,175,173,203,204,205,205,205,207,208,207,209,194,176,182,167,155,136,142,185,178,137,98,73,48,173,189,182,180,178,174,202,202,203,204,204,206,207,206,207,204,174,173,176,172,143,131,172,155,122,87,48,81,197,184,184,181,179,177,202,203,203,204,205,206,207,207,206,210,184,158,171,162,142,116,143,134,101,74,29,137,196,182,183,180,177,175,203,204,206,206,206,207,208,208,208,209,204,169,165,154,137,115,122,133,100,55,63,189,187,184,182,180,177,180,204,205,207,207,207,208,209,209,210,209,204,185,166,147,138,127,116,129,95,39,131,202,185,186,183,180,181,140
20,126,128,129,131,133,136,137,138,139,141,142,143,144,144,145,147,147,147,147,148,148,148,148,148,148,148,149,148,128,129,131,132,135,136,138,139,140,141,142,144,145,145,148,135,140,150,150,148,150,149,150,150,150,150,150,150,128,130,132,134,136,137,139,141,141,142,143,145,147,145,159,120,111,132,133,153,152,152,152,152,151,151,152,151,129,132,134,134,136,138,141,142,142,144,146,147,147,147,166,125,131,135,99,152,153,152,152,151,151,152,153,151,130,132,134,135,137,139,141,142,143,144,147,148,147,148,162,124,142,147,95,146,155,153,153,153,153,154,154,152,131,132,135,136,139,140,142,143,145,146,147,147,146,153,172,134,145,150,101,145,157,155,155,155,155,154,154,154,131,134,135,137,139,140,143,145,146,146,148,150,146,160,171,132,157,152,106,142,159,155,156,155,155,156,155,154,132,134,136,138,140,141,143,145,147,148,141,143,151,161,154,128,160,148,102,137,161,156,157,155,155,156,155,154,132,134,137,138,140,143,144,145,147,151,141,105,133,171,146,122,164,139,98,140,162,158,158,157,157,157,156,155,133,134,137,140,141,144,146,145,146,157,142,115,94,146,138,121,164,137,100,148,160,158,159,157,157,157,156,155,134,135,137,140,142,143,145,151,135,137,148,140,131,105,102,110,145,132,101,152,160,159,159,158,158,158,158,157,134,136,138,141,142,141,152,168,132,109,152,158,151,120,84,83,122,122,97,154,161,159,160,159,159,158,158,159,135,136,138,141,142,143,155,144,151,129,105,130,157,142,105,84,105,103,94,158,160,160,161,160,160,159,159,159,135,137,140,142,144,142,160,138,118,114,70,72,149,162,131,89,90,96,90,156,161,161,162,161,161,160,160,159,135,136,139,142,144,144,158,135,113,110,87,84,125,173,148,107,83,91,89,156,162,161,162,160,160,160,160,160,135,136,139,143,144,144,162,158,137,117,96,105,114,173,162,127,91,81,84,157,163,161,161,160,159,160,160,159,136,137,140,143,145,144,170,151,123,110,104,116,126,173,162,137,101,76,80,156,164,162,162,161,160,160,160,159,136,139,140,143,146,146,169,148,125,118,120,118,163,184,150,134,106,75,80,159,164,163,163,162,161,160,160,161,137,138,141,144,145,148,174,153,133,126,126,129,184,181,152,129,110,77,84,162,163,163,163,162,161,162,162,160,138,139,141,145,146,147,175,158,141,122,135,149,184,170,156,130,109,78,92,167,162,163,163,162,161,161,162,162,138,140,142,144,147,147,176,164,144,132,133,160,180,160,152,125,108,76,103,169,161,163,163,162,162,163,162,161,137,139,142,145,148,146,174,165,148,151,133,163,177,159,149,128,103,75,112,170,161,163,163,163,162,163,162,162,137,140,142,145,148,146,166,171,158,162,146,152,169,153,145,128,101,73,111,171,162,164,164,164,163,163,163,162,137,140,143,146,147,147,155,171,164,164,154,147,160,150,144,127,101,75,115,170,162,164,164,164,164,164,163,163,136,140,143,146,147,148,149,168,167,157,145,148,152,145,143,138,101,75,128,170,162,164,164,164,164,164,164,163,137,139,142,146,147,149,148,167,159,148,137,140,150,143,142,138,103,79,146,168,164,165,164,164,164,164,163,163,137,140,143,146,147,149,149,166,153,145,138,136,149,145,139,136,95,90,164,165,165,165,165,165,165,165,164,164,136,140,143,146,147,149,150,169,165,157,144,140,153,139,132,130,84,110,172,164,165,165,165,165,165,165,165,165
1,98,102,117,135,149,156,158,165,171,174,177,179,183,187,187,193,192,191,192,193,193,195,195,195,197,197,196,196,99,104,120,138,151,158,161,167,174,178,181,184,186,197,198,159,196,198,198,196,198,198,198,198,200,199,198,198,101,107,123,142,154,160,165,172,179,184,186,188,192,211,217,126,178,171,187,206,201,202,202,202,202,201,200,200,103,109,126,145,157,163,169,177,183,187,193,207,154,209,218,123,171,174,139,214,205,206,208,206,207,205,204,203,103,111,131,147,159,165,171,181,187,189,201,227,134,193,219,118,171,196,119,201,215,212,212,210,210,210,208,207,103,114,135,150,163,167,174,183,191,194,204,232,140,181,225,130,173,204,120,184,223,214,216,215,215,214,213,212,105,117,138,154,167,171,178,187,193,196,209,238,148,166,216,135,176,217,136,173,229,217,219,219,218,218,217,216,105,119,141,158,169,174,180,190,198,206,172,231,157,146,198,136,175,213,139,168,235,222,223,223,223,222,221,220,106,123,145,161,172,177,184,191,211,215,138,219,161,127,207,145,167,223,151,168,239,225,227,228,228,226,225,224,107,125,148,164,173,178,189,195,222,207,131,223,171,116,195,139,165,233,161,168,243,230,233,232,231,230,228,228,108,127,150,166,176,180,191,197,227,205,123,214,189,120,165,160,165,213,165,163,246,234,236,235,234,233,232,231,110,129,152,169,178,183,194,200,235,217,120,182,212,174,178,184,163,155,142,160,249,236,238,237,237,237,235,234,111,132,154,171,181,185,197,203,237,221,122,160,177,181,186,149,156,187,137,162,255,238,242,241,241,240,239,238,113,135,158,175,184,188,201,207,233,225,166,180,120,164,143,126,203,227,203,159,228,250,241,244,243,242,242,242,114,138,161,179,186,191,203,209,243,230,183,159,121,149,114,164,217,222,228,172,140,239,248,246,246,245,246,243,115,140,162,180,189,194,206,214,253,229,177,141,126,155,158,220,240,227,207,150,114,170,255,246,249,249,249,248,117,143,165,182,189,196,209,217,255,239,181,137,141,164,180,238,249,235,193,144,110,153,255,249,250,250,250,249,119,145,168,185,192,198,212,218,255,251,193,138,152,177,201,237,247,231,192,148,100,173,255,251,254,252,250,255,122,149,170,187,194,201,214,220,255,255,214,149,159,186,207,249,249,223,182,147,99,194,255,251,255,255,255,251,125,152,173,190,195,203,217,222,253,255,232,164,166,190,203,253,245,219,171,140,97,211,255,255,255,226,166,107,128,154,176,193,198,206,219,224,247,255,243,179,182,180,200,243,239,212,160,133,99,227,255,204,126,85,65,70,131,157,179,194,199,208,220,227,238,247,248,194,197,175,202,231,234,200,154,123,108,253,179,82,60,66,69,62,133,158,181,196,200,208,220,229,230,239,247,211,200,181,187,229,215,189,142,115,124,160,76,84,73,48,66,70,134,160,183,196,199,208,218,226,229,233,239,217,205,195,171,210,202,175,138,118,98,65,58,81,87,43,48,74,135,162,185,198,200,211,221,228,235,229,235,225,212,206,175,182,201,165,137,114,83,77,56,53,86,60,36,60,137,163,187,200,202,213,223,230,238,231,237,234,220,207,171,166,189,162,131,104,87,76,64,36,66,79,35,42,135,164,189,201,204,215,224,232,237,235,239,223,204,196,173,167,166,151,120,97,92,66,64,41,46,78,52,29,148,167,184,194,200,209,217,226,233,230,238,231,200,203,194,166,151,145,116,93,86,75,56,46,36,64,66,31
22,120,125,129,133,138,143,148,151,154,157,159,160,161,162,163,163,162,161,161,160,160,159,158,158,157,156,155,154,121,127,130,134,140,146,149,152,155,157,159,161,163,164,164,164,164,163,163,162,161,160,159,159,158,158,156,155,123,129,132,135,142,148,150,153,156,158,160,163,164,164,164,165,162,163,164,164,163,161,160,160,159,159,157,157,124,129,132,137,143,148,152,155,157,161,159,163,164,166,168,189,136,154,165,164,169,167,148,161,161,160,159,158,125,130,134,138,145,150,153,156,163,192,137,157,167,167,174,198,122,143,167,165,184,162,126,162,162,160,160,159,127,131,133,139,146,151,155,158,166,201,132,150,169,168,178,194,125,142,169,167,191,146,125,164,163,162,161,160,128,132,134,141,147,153,157,160,164,200,147,143,171,169,183,198,134,144,171,175,191,136,128,166,164,163,162,161,128,133,137,143,149,154,158,161,164,208,171,138,172,171,187,198,139,147,171,188,197,133,139,168,166,165,164,163,129,134,138,144,151,155,158,163,164,206,191,138,170,172,190,192,139,145,174,203,192,129,150,169,167,167,166,164,130,136,140,145,151,157,161,165,165,201,203,139,162,174,195,195,141,143,181,210,177,119,157,171,169,168,167,166,132,137,141,146,152,158,163,166,167,194,214,161,151,176,200,201,142,147,199,211,158,115,165,172,170,169,168,166,133,138,142,148,154,160,164,166,182,195,176,162,141,176,199,195,139,163,218,202,141,128,173,173,171,170,169,167,135,139,143,150,157,161,166,169,216,222,192,159,118,160,186,185,173,194,214,188,125,149,177,174,173,172,171,170,135,140,144,151,158,163,168,174,224,233,214,170,112,113,156,175,192,192,184,156,120,169,178,176,175,174,172,171,136,141,145,153,159,165,169,179,217,210,199,199,159,121,117,140,170,175,163,123,129,179,179,178,177,175,174,172,136,141,146,154,161,165,169,184,225,205,184,210,208,163,114,100,135,158,149,110,138,182,180,180,179,178,175,174,137,142,146,154,162,166,169,194,230,194,169,171,211,197,152,104,100,130,137,111,150,184,182,181,180,180,178,176,138,142,147,155,163,168,171,204,229,190,150,132,172,206,190,145,99,98,110,106,166,186,184,183,182,181,179,178,138,143,147,155,163,169,172,212,233,191,145,155,154,203,215,186,138,95,88,106,178,186,185,184,182,182,180,179,138,142,147,155,162,168,172,213,230,193,142,168,173,219,222,203,170,124,90,113,185,186,185,184,183,182,180,179,138,142,147,156,164,169,173,212,230,187,150,172,197,233,225,204,180,132,89,121,189,187,186,186,184,182,181,180,138,142,148,157,165,170,174,211,233,180,166,170,216,240,227,199,163,121,88,132,190,189,188,186,185,184,182,181,137,142,148,156,164,171,174,206,232,182,179,170,229,237,223,197,147,107,92,150,191,190,188,186,185,184,182,181,137,141,147,154,162,169,173,199,231,191,189,173,234,231,217,186,137,102,97,169,191,189,188,186,185,184,182,181,122,125,128,131,133,136,137,161,228,207,197,180,229,219,202,167,126,102,98,131,137,135,135,134,134,133,130,128,104,104,105,106,105,104,104,122,221,212,195,175,213,203,175,145,117,102,96,96,95,93,93,92,91,88,100,139,108,108,109,109,108,109,109,121,210,199,182,167,184,182,155,134,120,106,98,99,99,98,97,98,102,129,182,193,109,110,110,110,109,109,109,114,189,179,164,157,161,169,157,135,123,108,100,101,100,99,98,98,141,198,198,178
5,145,146,147,148,151,151,151,152,152,151,151,152,151,149,150,149,149,148,147,146,144,144,143,141,141,140,140,138,147,148,150,151,153,153,152,154,153,153,152,151,155,153,151,151,151,151,148,147,146,145,145,143,143,141,140,140,148,151,152,153,154,155,154,154,156,155,154,162,125,146,155,153,152,153,151,150,148,147,147,146,145,143,142,141,151,151,153,154,155,156,156,160,158,156,159,172,97,123,161,153,154,153,152,150,150,149,148,147,146,145,145,143,153,153,154,156,155,163,158,128,164,156,167,168,84,125,162,155,156,154,153,152,151,151,150,148,148,147,144,143,154,155,155,159,155,177,143,91,163,157,170,144,77,147,162,158,158,156,154,155,155,152,152,151,150,149,147,145,155,156,159,158,161,183,107,97,167,160,161,124,85,162,160,161,158,155,166,133,140,158,153,153,152,150,148,147,156,158,161,158,174,161,72,141,171,155,142,107,97,166,163,159,156,169,160,91,120,164,155,155,153,152,150,150,158,159,162,158,188,156,75,163,169,143,129,81,122,173,148,148,154,138,90,97,154,160,158,157,155,153,151,151,160,161,162,162,200,144,78,165,163,136,117,72,152,130,135,156,110,73,113,157,162,159,159,158,156,154,153,151,161,163,164,169,198,113,78,178,143,140,122,84,103,98,122,107,75,128,172,162,161,160,159,159,157,155,154,153,161,164,166,167,190,167,82,141,131,130,105,73,76,90,68,88,142,169,163,164,162,160,160,160,159,157,155,153,164,167,170,167,185,185,111,83,100,104,79,66,89,77,87,167,170,165,165,165,163,162,161,161,160,159,157,154,166,168,171,170,179,184,153,107,92,95,73,64,90,79,150,177,168,167,166,165,165,163,163,161,161,160,158,156,168,170,172,172,174,204,186,139,92,80,80,77,74,140,171,153,157,170,171,169,168,166,164,163,162,161,159,158,170,172,173,174,175,204,185,132,87,73,71,81,82,119,120,129,135,139,150,156,162,170,166,164,164,162,160,159,172,172,175,176,181,202,175,125,76,66,65,81,86,95,128,133,161,154,152,156,157,121,157,169,164,163,162,160,174,174,177,174,191,201,183,134,82,61,62,80,89,86,103,80,115,138,134,148,146,104,142,174,165,164,163,161,174,176,178,176,201,196,180,126,88,64,61,72,72,66,87,91,145,147,130,147,173,127,119,176,165,165,163,162,175,179,176,188,200,188,176,123,87,60,54,64,56,132,182,176,185,180,171,178,141,91,164,172,169,167,165,162,177,179,176,202,194,190,174,124,80,59,57,73,80,91,157,191,173,144,147,159,78,125,184,170,171,169,167,165,177,178,184,206,190,187,166,106,74,56,69,77,86,92,97,135,142,154,147,116,50,157,179,173,172,169,168,166,180,174,205,202,185,186,150,94,73,63,89,103,112,109,93,103,137,146,129,69,82,177,177,175,173,172,169,169,179,89,120,194,196,172,135,94,74,77,100,113,115,102,97,98,127,108,75,111,176,179,178,178,174,172,171,168,107,59,54,86,161,163,129,102,75,83,108,104,99,83,94,83,66,85,151,188,181,179,180,178,174,172,171,169,68,63,61,53,59,96,113,82,61,71,94,91,83,74,67,55,104,180,190,182,182,181,179,178,176,174,173,172,71,58,54,57,53,49,38,33,37,45,58,69,62,52,110,168,194,187,183,185,185,183,181,179,177,174,173,173,60,54,52,51,47,53,28,16,26,26,29,33,46,130,198,193,187,187,187,186,185,184,182,179,178,176,173,173
14,178,179,181,180,181,183,184,180,188,208,196,164,137,108,163,185,185,187,183,183,184,184,183,183,182,181,181,180,179,181,182,183,182,184,180,192,218,193,140,118,105,97,119,164,164,163,185,184,184,184,184,183,183,183,183,182,180,182,184,184,184,180,203,225,203,153,99,99,96,98,127,150,133,109,186,186,186,187,187,186,185,185,184,183,182,184,185,185,183,190,234,206,152,113,97,103,92,79,100,118,99,135,197,185,187,189,187,187,188,187,185,184,184,186,186,188,180,205,235,187,107,82,79,86,91,103,98,109,120,135,169,190,188,189,190,189,190,187,187,186,184,185,187,190,183,219,234,181,107,80,75,79,94,110,88,97,147,156,119,148,196,188,191,192,189,189,188,188,184,186,189,190,188,231,224,159,101,86,93,76,77,87,84,83,105,120,93,166,202,191,191,192,192,191,190,189,186,187,190,189,195,235,217,154,94,87,103,84,90,105,114,113,99,105,98,135,157,192,193,192,193,193,192,192,189,189,192,187,204,235,223,178,122,92,91,90,99,93,99,92,100,115,119,118,104,162,196,194,194,193,192,192,190,192,194,186,220,235,223,179,133,104,79,102,106,94,125,149,187,172,146,128,157,140,178,200,195,194,195,195,192,193,193,191,228,235,225,177,129,108,88,102,91,168,209,202,198,203,201,163,174,138,183,201,196,196,195,195,192,194,194,195,232,235,227,185,137,105,93,87,100,196,199,198,199,204,180,149,168,133,192,200,198,196,196,197,195,197,195,201,235,235,230,192,148,109,91,84,167,207,199,201,200,205,172,151,167,127,190,202,199,198,197,198,196,198,195,202,235,235,231,197,153,117,83,101,206,201,202,202,200,209,165,142,166,122,165,209,200,200,200,199,197,199,199,204,235,235,232,199,159,126,80,135,214,200,204,202,205,202,150,142,156,130,140,210,201,201,202,201,197,200,200,205,235,234,232,202,162,127,84,140,212,208,210,211,208,148,143,163,156,122,158,211,202,202,202,202,199,200,197,207,235,234,232,202,161,130,109,79,111,142,144,170,159,125,149,154,142,136,204,206,204,202,202,202,199,200,199,207,235,234,233,199,163,142,124,88,87,95,105,116,121,133,147,149,124,183,211,204,204,204,203,203,200,202,199,212,235,234,232,196,172,157,134,98,98,112,121,132,135,130,140,128,158,214,206,208,205,206,204,204,202,204,200,217,235,234,231,202,184,165,138,109,103,122,126,130,135,132,119,127,210,209,209,209,206,205,206,205,202,205,202,220,235,234,230,212,193,166,137,118,106,121,128,128,133,131,108,181,216,209,209,209,208,207,207,207,204,205,203,224,235,234,230,219,197,166,136,119,109,117,129,124,131,114,166,218,209,209,210,210,209,209,210,209,203,205,201,226,234,233,230,219,193,153,118,110,106,115,124,126,117,134,218,211,212,211,211,210,210,209,209,209,209,213,214,235,235,235,232,214,177,123,100,102,101,111,118,123,112,194,217,210,212,212,212,212,211,210,210,209,183,169,159,168,151,145,129,113,98,77,70,80,96,109,112,107,171,221,211,214,213,213,214,214,211,211,210,211,107,97,87,79,73,68,60,56,57,53,43,43,55,80,99,165,222,211,214,214,213,213,215,214,213,213,211,213,102,97,88,84,80,75,64,62,60,52,43,42,41,35,64,220,216,216,216,216,216,215,215,215,214,213,214,213,101,95,87,81,75,71,63,59,56,49,42,39,42,36,68,222,217,218,217,217,217,216,215,215,214,215,215,214
22,118,119,122,124,128,130,131,134,135,136,135,140,140,140,139,136,142,140,143,144,142,143,143,142,142,142,142,141,119,122,125,126,129,132,134,136,139,140,98,128,146,142,150,95,129,148,134,135,147,145,144,144,145,144,144,143,121,123,126,128,131,134,137,137,143,135,77,120,150,147,157,82,120,157,130,88,147,147,146,146,147,148,147,146,123,125,128,131,134,137,139,139,147,133,65,123,150,153,154,88,128,160,133,78,144,151,148,148,149,150,150,148,125,129,130,133,135,139,141,141,151,135,67,125,152,157,148,90,135,162,132,80,143,153,150,151,152,152,152,150,127,129,132,134,137,140,144,143,153,147,71,123,154,159,137,88,140,163,136,87,147,155,153,153,153,153,152,152,128,131,134,136,139,142,146,146,155,155,75,117,157,159,124,87,141,163,130,89,153,156,155,155,154,154,154,155,130,132,135,138,141,145,148,147,158,156,74,115,165,148,111,89,144,163,131,90,155,158,157,157,157,157,157,157,132,134,137,140,142,146,148,149,155,168,96,107,157,135,109,87,151,166,129,92,160,158,157,158,159,158,159,158,133,136,138,140,144,147,149,151,154,163,127,104,92,112,121,90,157,168,122,99,166,157,159,160,160,159,160,160,134,137,140,142,146,148,151,152,156,165,144,127,112,102,105,103,165,162,112,108,169,159,161,162,162,162,161,161,135,138,140,144,146,150,153,152,163,175,154,144,156,140,89,98,158,151,103,122,170,161,163,162,163,163,163,163,137,140,142,145,147,151,154,156,156,135,152,96,146,145,105,65,111,120,82,135,170,163,164,164,163,164,164,163,139,141,144,146,149,153,154,158,161,136,137,74,71,145,132,88,65,85,69,146,170,164,164,165,165,165,164,164,139,142,145,147,150,154,154,163,165,124,125,104,39,96,157,119,75,61,70,160,168,166,166,166,166,167,165,165,140,143,145,149,152,155,155,167,164,128,107,91,66,80,170,145,102,71,70,165,169,167,168,168,168,168,167,167,141,144,146,149,151,156,156,173,169,128,93,85,75,145,172,144,113,88,72,166,170,167,168,170,170,170,169,169,142,144,146,150,152,155,157,174,161,125,103,105,112,177,165,131,105,82,74,169,170,169,169,170,170,170,170,169,143,145,148,151,153,157,158,169,158,123,121,101,136,176,150,123,93,68,94,177,169,171,170,170,171,171,171,171,143,146,150,152,154,158,159,167,154,121,120,103,151,176,137,111,89,63,109,182,170,173,172,173,173,173,172,171,142,146,149,151,155,158,160,164,154,122,133,110,158,173,130,102,81,60,116,182,171,174,174,174,174,173,173,173,142,145,148,151,154,157,160,159,154,129,141,113,149,158,124,98,79,57,128,181,171,174,174,174,175,174,173,173,142,145,148,151,154,156,159,158,154,134,140,114,142,143,112,94,75,60,143,177,172,174,174,175,175,174,173,173,143,146,150,153,154,158,161,161,158,135,125,101,126,126,100,93,74,70,162,174,173,174,174,174,175,174,174,174,144,148,151,153,156,159,159,158,157,131,108,101,128,112,101,96,65,107,178,172,174,174,175,175,175,174,174,174,143,147,150,153,157,159,156,162,165,140,123,116,134,101,110,82,67,157,177,173,174,174,175,176,175,175,174,174,145,148,152,155,159,162,154,160,164,147,137,122,127,99,105,61,113,180,172,173,174,175,175,176,175,175,175,175,123,127,133,138,141,143,144,158,145,136,141,119,120,101,85,62,146,177,173,173,174,175,174,175,176,176,175,174
23,207,208,209,210,211,211,211,212,211,212,212,211,212,212,212,212,212,211,211,210,210,209,209,209,207,207,208,197,209,210,210,210,212,213,213,213,214,215,214,214,214,213,214,215,215,213,211,212,211,211,210,209,208,209,207,208,210,211,212,214,214,215,215,215,215,216,216,216,216,216,216,215,216,216,216,213,212,212,212,210,210,210,210,209,212,214,215,215,215,215,215,216,216,217,217,216,217,217,217,217,217,219,217,216,216,215,215,215,214,213,212,211,214,215,215,216,217,217,217,218,217,218,218,218,218,218,217,217,218,220,217,217,216,211,212,213,212,215,214,213,215,216,217,218,219,219,219,219,218,219,219,221,218,218,218,219,219,216,225,236,229,220,214,174,146,223,214,215,216,217,218,218,218,220,220,219,220,220,221,222,221,220,221,222,220,232,244,239,195,177,176,135,161,223,216,217,217,218,219,221,221,223,223,223,223,223,224,222,224,224,222,223,242,242,220,189,122,163,184,200,222,219,219,219,219,219,220,222,223,223,223,223,224,223,223,223,224,223,220,238,255,218,137,136,192,229,224,222,219,220,219,219,220,221,222,223,223,223,224,223,224,224,224,224,225,222,228,248,255,177,109,215,232,222,220,224,224,219,221,221,221,222,223,223,223,224,225,225,223,225,225,226,227,223,242,247,246,187,195,229,199,215,226,209,211,225,223,223,222,222,223,224,224,224,225,225,225,224,226,226,227,226,240,238,225,239,243,239,175,163,212,193,169,227,223,222,222,223,224,224,225,224,224,226,226,226,220,203,209,224,228,230,155,205,207,213,175,123,190,203,143,228,224,224,222,224,224,225,227,226,225,227,226,234,230,206,180,195,208,232,213,236,236,218,163,106,155,179,136,231,225,224,224,225,226,226,226,226,227,227,230,245,244,238,213,200,190,187,179,184,209,220,179,108,97,126,111,214,230,225,222,224,227,227,225,227,229,229,227,241,252,242,236,217,197,211,193,173,166,170,174,134,90,105,100,158,237,225,221,223,225,225,225,226,226,228,224,236,254,238,231,207,162,181,214,205,187,168,125,143,101,94,107,130,233,225,221,224,225,225,225,226,227,229,223,236,251,245,241,175,136,123,173,178,167,143,105,138,108,88,102,173,235,222,224,225,225,226,225,227,227,231,222,236,252,255,238,170,117,81,122,194,152,101,115,153,114,87,120,220,228,224,224,224,226,227,226,228,228,230,218,238,255,250,219,176,129,67,148,177,121,75,143,156,116,89,184,236,224,226,223,224,224,225,226,228,228,228,219,242,255,239,205,166,134,78,129,139,67,77,160,143,97,123,233,228,226,227,223,222,223,224,225,226,229,226,225,246,252,229,196,163,132,75,114,112,53,120,153,113,89,188,237,226,229,228,228,228,228,229,230,232,233,226,230,253,245,216,190,164,136,84,107,96,66,140,128,92,111,227,229,227,227,227,194,196,199,203,206,212,217,212,233,243,233,203,180,161,139,87,98,95,94,113,111,98,185,242,234,236,235,234,123,122,121,124,128,128,122,150,234,235,222,186,175,177,135,95,87,99,124,118,104,111,179,185,188,192,195,196,127,125,124,124,124,127,117,147,231,230,212,183,190,189,128,109,93,111,132,130,114,118,112,114,117,112,110,119,126,128,127,126,127,129,121,162,235,222,214,194,201,189,138,116,105,117,126,120,118,128,125,126,131,151,186,214,126,128,128,128,128,132,118,176,245,233,228,209,206,188,148,119,107,113,120,117,130,138,156,195,222,238,230,232
8,139,141,143,143,144,145,146,147,146,146,145,145,145,144,145,144,144,143,143,141,140,140,139,139,139,137,135,134,140,142,144,145,146,147,147,147,147,147,147,147,147,146,146,146,145,145,144,143,142,141,140,140,140,139,137,136,142,144,146,146,147,148,149,149,149,149,150,148,147,149,147,147,147,146,145,145,144,143,143,142,141,139,138,137,144,146,147,150,151,149,150,150,151,151,150,150,148,143,150,147,147,147,147,147,145,144,144,143,144,141,139,138,146,148,149,150,151,152,151,152,153,152,148,159,160,105,140,152,149,148,148,148,146,146,146,144,143,142,141,140,148,150,151,150,152,153,153,153,154,153,149,171,150,81,131,155,150,150,150,149,147,147,146,145,144,143,143,142,149,151,152,152,153,154,155,155,155,155,152,175,127,76,141,156,151,152,151,150,148,148,146,146,146,145,144,143,150,152,154,155,155,156,156,156,156,156,157,176,116,79,152,156,154,153,152,150,150,149,148,148,147,147,145,144,153,153,154,156,156,156,157,158,158,155,164,179,114,90,155,156,154,152,153,152,151,150,150,149,148,147,145,146,154,154,156,157,158,158,159,159,161,156,170,166,96,95,158,156,156,155,154,152,152,151,150,150,149,148,147,146,154,157,157,159,160,160,160,161,162,156,175,164,97,104,163,156,156,153,158,153,152,153,152,152,150,150,148,148,157,159,159,161,163,162,162,163,164,158,183,163,120,119,158,157,168,115,124,164,157,156,152,151,152,151,149,148,157,159,160,162,164,164,165,164,164,162,183,156,132,127,165,175,170,121,83,111,113,144,159,157,152,153,151,150,158,160,162,163,164,164,165,165,166,165,181,162,145,136,178,176,171,149,112,66,67,79,145,136,158,153,153,152,160,162,164,165,165,166,166,168,165,175,190,157,145,151,171,157,164,166,131,121,92,59,89,65,104,161,151,152,162,163,165,167,167,168,168,169,165,185,175,143,137,133,169,145,104,156,148,145,110,62,64,65,47,143,157,152,163,165,167,168,168,169,170,166,173,182,144,116,126,117,157,129,78,85,151,136,106,60,38,58,44,114,165,152,165,167,168,170,170,169,170,168,191,183,153,120,103,93,151,148,114,45,164,148,113,66,36,51,52,141,161,154,165,168,169,170,171,173,169,182,199,175,145,119,104,81,145,153,98,51,146,162,114,69,45,39,99,166,157,157,166,168,171,171,173,173,171,195,195,168,136,115,107,71,78,122,100,92,148,167,116,71,39,85,163,160,159,158,168,168,170,171,174,172,178,200,181,152,142,127,106,80,143,170,162,158,149,152,112,62,77,169,163,162,162,159,169,169,171,173,173,175,189,197,172,161,146,113,98,153,191,178,154,162,137,122,104,66,83,176,162,164,163,161,169,170,173,173,180,155,188,196,170,168,136,105,148,187,177,163,136,149,127,97,100,62,108,174,163,163,164,162,170,171,174,175,180,84,112,200,174,167,123,144,181,185,168,153,132,137,126,80,80,61,164,169,165,165,164,163,171,172,173,184,117,64,58,107,168,158,128,149,172,175,162,151,122,124,116,77,46,112,180,167,168,167,165,163,171,173,181,153,68,64,66,55,75,114,118,142,156,163,154,139,117,120,93,54,56,170,171,169,169,168,166,164,172,177,169,82,65,62,59,67,40,29,58,73,97,125,131,122,115,98,64,37,140,180,170,171,170,169,168,165,172,175,106,62,65,60,57,58,60,16,33,36,33,39,56,68,69,56,34,108,182,171,172,172,170,169,167,165
18,70,73,76,79,84,91,94,101,107,114,121,125,129,132,134,136,139,143,144,147,149,152,155,156,158,159,159,162,70,74,77,81,86,92,94,100,108,115,121,126,131,132,134,137,141,144,145,149,150,152,154,156,158,159,161,163,71,73,78,81,85,92,95,101,109,116,121,128,132,133,135,137,142,145,146,149,153,154,156,157,159,160,163,164,72,75,79,81,86,92,96,102,111,117,123,128,133,135,136,139,141,145,149,152,153,156,159,159,159,161,164,166,72,74,78,83,88,93,96,103,111,119,125,130,133,135,139,138,149,145,133,147,157,153,151,164,164,163,164,166,72,74,78,82,89,94,97,104,111,120,128,128,135,142,130,142,184,136,105,96,160,164,123,113,165,166,166,167,73,75,79,81,88,94,98,107,113,122,127,123,187,152,103,149,173,139,134,137,184,163,121,85,99,168,166,167,73,76,79,81,89,95,98,107,110,125,120,159,211,152,114,165,168,144,155,162,162,134,127,117,70,133,176,168,74,77,79,82,90,97,101,102,128,175,121,130,195,151,142,138,149,137,143,146,127,118,136,128,99,94,179,170,75,78,80,84,91,95,102,95,192,193,145,104,157,176,145,111,112,129,108,115,91,136,143,134,124,80,136,185,76,78,81,84,91,97,94,116,213,191,168,137,115,186,148,113,94,160,107,66,83,167,148,150,140,107,80,161,75,78,81,84,91,98,88,146,180,182,186,158,94,138,160,119,76,146,142,91,45,134,153,165,153,119,90,89,76,79,81,87,92,100,88,158,144,138,173,134,89,88,136,103,69,95,113,71,59,134,172,182,157,124,103,81,77,78,80,87,91,99,87,178,173,133,147,90,78,60,89,83,54,58,56,95,181,185,165,165,148,124,107,93,76,79,81,85,93,96,91,192,178,148,151,82,73,48,77,81,43,23,107,197,192,174,166,145,127,113,105,85,76,79,82,85,93,93,111,206,173,141,130,92,68,38,74,72,38,91,201,204,194,174,152,132,106,98,91,92,77,78,80,85,92,93,106,224,193,166,152,124,91,78,79,75,103,189,208,204,192,161,142,120,97,91,79,128,77,79,82,87,92,94,103,221,204,183,167,141,121,126,117,125,182,206,206,198,175,147,129,111,93,84,82,166,76,79,82,87,93,97,102,221,213,190,167,145,133,139,137,162,198,200,197,182,157,137,118,102,92,76,108,187,76,80,82,87,93,99,99,215,212,190,169,154,151,146,152,179,194,198,183,161,148,128,110,101,94,71,146,187,77,80,82,87,93,100,96,196,213,194,178,167,162,159,167,180,184,186,163,143,134,117,102,95,85,89,181,182,77,80,82,89,95,101,96,168,216,198,195,181,166,159,164,168,167,163,148,131,120,106,95,93,75,136,188,179,78,80,83,91,96,100,101,138,213,204,209,191,171,155,143,144,147,143,139,120,106,98,92,82,85,177,182,181,77,80,84,91,94,99,109,111,197,205,197,190,172,150,135,130,136,134,132,115,98,95,94,68,128,187,180,183,77,79,83,90,95,99,113,109,158,202,174,172,163,145,131,128,131,135,134,118,102,96,86,71,167,183,182,186,77,80,84,90,96,98,109,116,126,189,174,156,144,128,128,134,119,125,130,116,99,94,74,94,184,178,182,185,76,80,85,91,94,99,111,122,119,168,160,140,144,133,145,149,120,116,129,117,98,93,67,113,190,178,182,184,75,78,84,90,93,100,110,120,121,151,170,149,157,145,141,144,124,107,121,116,98,88,64,103,189,180,183,184
16,241,242,241,241,243,243,244,244,244,245,245,244,244,246,245,246,246,246,245,246,246,244,245,246,246,244,246,245,242,243,244,244,244,245,245,245,246,247,245,245,245,246,246,247,246,246,247,249,249,247,247,249,248,248,248,246,243,244,244,246,246,245,245,246,248,249,247,248,247,247,248,247,248,248,249,251,250,249,249,249,249,250,250,248,244,245,245,245,246,247,247,248,249,248,250,249,250,250,249,252,254,255,251,249,249,249,251,250,251,251,251,249,244,245,246,247,248,248,248,249,249,249,252,252,252,250,247,229,228,226,248,255,250,251,251,251,251,251,250,249,244,245,246,248,249,249,249,248,250,250,247,239,235,254,255,210,185,174,158,212,255,255,250,252,251,252,252,250,244,246,246,248,250,252,251,251,251,252,243,214,227,255,255,232,209,191,150,109,155,235,255,251,252,253,252,252,244,246,248,250,250,252,250,241,230,255,255,226,248,255,254,240,226,192,140,133,104,116,197,255,251,252,253,251,247,247,248,250,252,248,255,237,237,255,255,235,253,255,236,227,215,183,122,139,120,112,100,183,255,252,254,253,248,248,249,251,252,249,255,252,243,255,255,251,243,255,219,219,201,167,118,125,113,118,117,95,186,255,251,255,250,250,250,252,250,251,255,252,235,255,255,255,248,254,224,215,190,147,116,112,106,115,116,113,90,220,255,255,248,249,250,250,254,255,248,255,251,245,255,255,252,255,242,218,180,135,110,99,101,113,113,113,96,145,255,255,247,246,248,246,255,254,247,255,255,248,255,255,254,255,247,212,164,126,97,82,104,118,117,111,101,115,255,255,247,248,249,248,255,255,253,252,255,249,255,255,255,255,246,198,145,116,71,78,104,121,124,128,101,130,255,254,249,249,250,251,250,255,255,255,255,255,220,255,255,255,247,189,131,82,40,79,100,113,134,127,104,143,255,253,249,249,251,251,251,255,255,255,235,252,227,255,255,255,250,180,116,44,33,67,86,109,143,118,103,152,255,253,249,250,250,252,253,251,253,255,198,210,255,249,255,255,243,170,106,44,29,48,75,121,151,113,98,188,255,255,250,250,251,251,252,251,237,252,255,243,234,249,255,255,234,167,100,66,48,37,85,149,151,114,99,212,255,255,251,251,252,253,252,253,242,223,255,252,241,247,255,255,227,158,96,87,90,65,113,183,167,121,95,210,255,255,238,241,243,246,248,252,255,240,240,243,229,218,255,255,222,146,99,100,101,80,142,212,204,147,92,222,255,255,144,150,154,156,161,167,170,173,176,176,144,148,247,255,220,133,104,109,110,98,158,215,222,184,105,203,255,255,128,127,128,126,124,126,125,123,123,124,127,117,243,255,222,129,134,122,115,114,166,212,230,221,139,192,255,255,134,136,137,134,132,135,135,135,135,135,142,118,227,255,215,138,196,144,131,114,148,201,223,236,173,207,255,255,131,132,133,133,133,133,135,134,135,135,139,121,195,255,208,150,236,167,150,135,114,170,215,210,164,145,255,255,132,132,131,134,135,135,135,134,136,137,142,122,182,255,196,172,255,197,172,156,129,113,171,181,136,177,247,251,131,132,130,131,133,135,135,133,136,137,140,123,178,255,150,227,255,220,191,177,146,112,111,124,126,255,197,221,131,131,131,131,133,133,133,134,136,136,136,132,148,177,207,255,255,234,207,190,157,121,109,102,118,255,245,197,130,132,130,133,133,131,132,136,136,135,135,138,130,137,255,255,255,242,215,199,170,127,110,105,121,255,255,247
24,135,141,147,151,156,159,163,167,169,172,176,179,181,182,184,186,186,187,187,187,188,189,189,189,189,189,188,188,137,143,149,153,157,161,164,168,172,175,178,180,183,185,187,187,187,188,189,189,190,191,192,193,192,192,191,191,139,145,150,158,160,164,166,169,174,177,180,182,185,187,188,189,190,191,193,192,193,193,195,195,194,193,194,194,140,147,154,145,162,166,169,172,175,179,182,185,187,189,191,191,193,194,195,195,196,195,196,196,195,195,196,196,141,151,160,99,137,172,169,174,178,181,183,186,188,191,194,194,194,195,195,197,197,195,197,197,197,197,197,197,143,152,152,94,92,176,171,177,180,182,186,187,188,192,195,195,195,196,197,200,200,197,199,200,200,200,200,200,144,152,160,113,69,160,176,176,182,185,186,191,195,197,196,201,201,197,200,201,201,200,200,202,201,201,201,201,145,152,164,131,66,131,184,179,182,186,192,189,175,189,202,177,188,204,199,202,203,202,201,202,203,203,201,204,148,155,164,149,91,91,183,178,142,128,178,187,142,105,153,162,116,176,208,202,203,203,203,203,203,194,174,135,149,156,161,170,121,68,146,172,148,134,138,197,164,102,130,177,113,103,212,203,204,204,205,205,196,175,127,105,151,156,162,172,140,97,102,159,191,170,131,184,178,122,151,178,112,81,196,210,207,207,205,199,182,136,107,197,151,158,163,167,166,132,101,91,189,182,128,162,185,122,145,180,114,65,174,216,206,208,200,195,163,94,162,219,152,159,165,169,177,141,112,113,144,194,145,137,191,129,129,186,133,60,160,219,209,197,198,190,126,90,208,211,154,161,166,171,177,159,170,154,123,167,150,97,169,124,103,184,151,64,120,221,183,179,194,158,86,166,218,209,154,162,167,172,173,185,184,125,93,116,140,72,134,123,91,220,184,58,59,131,152,177,164,98,131,222,210,213,154,160,167,172,175,183,171,132,108,106,128,99,121,135,90,128,109,63,109,143,155,150,114,95,207,215,213,214,155,162,166,170,175,178,197,176,129,113,110,124,96,160,119,96,160,171,178,162,128,115,77,159,222,210,214,213,155,162,167,170,175,179,197,188,158,137,113,102,107,151,174,207,204,189,173,151,113,88,100,211,212,212,213,213,155,161,167,171,176,179,195,197,184,153,117,94,135,181,209,200,192,176,159,134,101,81,181,218,211,215,215,215,155,161,167,171,177,179,195,205,195,152,116,112,155,192,205,198,184,162,138,119,80,143,222,211,215,216,216,216,154,161,167,172,176,179,188,199,203,161,141,147,150,192,201,197,176,153,128,98,91,209,214,212,214,216,216,216,150,158,165,170,176,181,184,193,197,170,149,157,133,173,189,182,165,148,116,81,164,227,215,217,216,218,219,218,103,106,108,110,114,120,120,158,192,168,151,148,115,141,168,152,143,125,96,104,189,190,195,198,201,204,209,211,93,93,95,97,96,97,92,109,195,175,142,131,103,132,163,141,119,102,87,98,103,104,108,110,111,116,116,115,98,99,103,104,104,104,107,101,181,165,130,119,114,136,158,132,105,85,86,107,107,107,107,109,104,101,110,125,97,97,99,100,100,102,103,100,185,161,142,136,135,137,145,121,91,77,93,109,109,109,110,114,133,174,184,169,98,99,102,101,101,103,102,106,200,178,164,158,142,128,137,108,84,75,100,110,109,111,104,132,203,194,211,182,100,100,102,102,102,103,101,111,193,178,173,163,128,118,128,97,84,72,100,110,109,110,109,189,225,186,172,209
12,155,158,161,163,165,167,169,171,173,175,176,176,177,178,179,180,180,179,180,180,180,182,181,181,181,182,183,182,157,159,161,164,167,169,171,173,175,177,178,178,180,180,181,181,181,182,182,181,182,183,182,182,183,184,184,184,159,161,164,166,169,171,173,175,177,179,179,180,182,182,182,182,183,184,185,184,184,185,183,184,186,186,185,186,161,164,165,168,170,173,175,177,179,181,181,181,185,185,185,185,186,186,186,188,186,186,187,187,188,188,187,187,162,165,167,170,172,174,177,179,181,182,182,184,180,167,170,186,188,175,156,163,188,187,189,190,189,188,189,189,164,166,169,171,173,175,179,181,182,183,184,197,187,160,134,169,200,180,147,110,176,187,186,192,191,190,190,190,166,167,171,173,176,178,180,182,184,185,187,216,209,182,145,129,200,183,153,116,129,143,143,151,189,192,192,192,167,169,172,174,177,180,182,184,185,187,192,218,221,195,157,123,198,191,158,126,80,126,133,103,150,196,194,194,169,171,173,176,179,181,183,186,188,188,196,207,218,208,172,133,189,197,156,115,76,143,141,94,103,195,195,196,171,173,175,178,180,182,184,187,188,189,195,164,150,192,175,130,168,184,142,101,78,150,144,92,91,191,197,197,172,174,177,179,181,184,186,188,190,205,198,142,108,137,158,115,151,165,134,104,77,142,141,98,89,191,199,199,173,176,178,180,183,186,188,189,204,207,194,148,119,101,138,106,138,161,129,98,79,147,139,102,94,194,200,200,174,176,180,182,184,186,189,196,203,184,194,164,129,88,106,104,125,158,134,94,90,166,154,108,102,200,202,201,175,178,180,183,185,187,189,201,188,156,184,162,126,87,82,121,122,171,153,104,112,203,175,112,128,204,203,202,176,178,181,184,187,189,192,204,191,157,160,158,127,86,67,118,106,149,146,100,98,176,145,84,116,201,204,202,177,179,182,185,188,189,195,200,181,148,144,163,119,86,44,65,55,74,136,112,126,152,113,94,86,153,206,202,178,180,183,186,189,191,198,206,183,152,134,157,109,87,47,40,48,120,182,182,175,165,136,110,89,116,205,204,178,181,184,187,190,192,202,207,183,151,120,141,107,94,48,55,106,179,194,188,171,155,129,103,85,130,208,205,179,181,184,187,190,190,202,206,185,162,130,118,114,105,64,90,170,200,204,190,162,145,122,96,83,159,210,207,180,183,185,188,191,191,203,206,191,173,155,128,110,100,108,145,204,207,211,185,153,136,114,92,88,182,211,208,181,183,186,189,192,193,203,208,197,179,167,157,136,123,144,162,208,213,209,176,142,127,105,87,114,201,210,209,182,184,186,189,192,194,201,207,199,185,174,169,157,135,141,157,210,212,193,165,135,117,98,83,154,211,210,209,182,185,188,190,192,194,198,201,196,189,178,170,160,141,133,161,209,205,177,153,128,107,92,88,186,211,210,210,182,186,190,192,193,195,197,196,194,191,178,171,159,142,128,162,194,190,160,138,118,98,85,109,206,210,210,211,182,186,189,192,194,195,198,198,197,195,179,170,160,142,125,158,179,167,143,124,108,93,83,153,214,211,212,212,183,186,188,191,192,194,196,198,200,191,175,164,152,134,121,153,163,142,128,110,98,88,105,196,212,212,213,212,183,186,187,190,193,195,196,196,201,184,163,153,135,119,123,148,151,130,119,102,93,89,157,209,210,210,212,212,184,186,187,191,193,195,195,194,204,182,164,151,126,120,128,147,145,126,113,98,88,118,201,209,209,210,212,212
12,147,148,148,148,149,149,149,149,150,151,150,150,150,150,150,150,150,150,150,150,150,150,149,149,147,146,146,145,150,150,151,151,150,150,152,151,152,152,152,153,153,152,153,151,151,151,152,152,151,152,151,151,150,149,148,146,151,152,151,153,153,153,155,153,154,154,155,156,156,153,155,154,153,153,155,155,154,154,152,152,152,149,149,149,153,154,154,155,154,156,156,155,156,156,159,157,155,158,158,156,154,155,155,156,155,154,154,153,152,151,151,151,155,156,156,157,156,157,158,158,157,155,150,157,163,148,151,160,157,158,156,158,157,157,157,156,155,155,154,153,157,158,158,159,158,159,160,157,170,174,139,109,169,155,111,134,165,160,163,158,159,159,159,158,157,156,157,155,159,160,160,160,161,160,163,158,196,198,168,96,127,191,132,95,161,142,142,163,161,160,162,160,159,158,158,157,159,159,161,163,163,162,163,162,195,202,181,122,90,184,158,112,90,129,91,125,171,161,163,160,162,161,160,159,161,163,165,165,164,165,163,168,193,184,190,149,86,143,168,123,64,88,95,65,164,166,163,163,164,162,161,161,163,164,166,165,165,163,169,158,176,163,178,169,125,82,131,103,47,37,75,58,155,168,166,165,165,164,163,162,164,165,167,168,161,177,197,128,104,125,140,140,92,51,72,76,53,125,84,60,164,168,167,167,165,165,165,165,165,167,168,165,185,207,175,117,85,107,86,115,108,83,117,147,147,135,68,71,174,169,170,169,167,166,166,166,166,168,166,176,201,178,169,133,96,58,61,65,109,122,139,181,193,162,88,93,185,168,171,171,169,169,168,167,166,169,166,194,178,155,178,150,104,57,62,64,52,62,99,178,195,195,151,96,140,179,170,171,170,170,169,169,167,166,175,193,171,136,175,152,129,73,55,72,77,84,137,171,174,163,147,130,81,161,175,171,172,171,171,170,169,166,184,202,174,133,119,175,163,96,56,75,95,151,184,170,169,134,122,139,79,140,182,171,173,172,172,171,171,169,178,206,190,162,112,126,152,158,87,76,173,188,172,167,157,129,101,98,71,164,177,173,173,172,172,172,171,169,178,208,200,172,139,127,114,122,111,166,205,185,171,161,141,120,90,61,95,184,175,176,174,173,173,172,171,170,177,201,202,187,156,149,133,99,154,202,194,190,156,142,122,113,79,50,141,184,176,177,175,175,174,174,172,172,173,194,199,198,177,159,144,131,140,194,189,178,144,118,113,107,66,74,179,178,177,177,176,176,175,174,170,172,165,183,206,201,183,165,148,144,137,187,180,156,132,100,118,98,49,119,189,177,177,177,177,177,177,177,169,172,167,162,202,191,172,163,152,148,145,167,165,132,112,109,115,80,54,165,182,178,177,177,177,177,177,177,171,172,173,160,195,178,162,156,154,149,144,151,147,131,109,109,101,55,96,187,177,178,177,177,177,177,175,175,172,172,173,167,192,179,168,169,163,150,139,148,155,134,97,88,74,61,164,182,178,177,178,178,177,177,176,174,173,172,173,167,192,186,176,176,163,158,136,151,158,110,79,76,53,133,187,178,180,179,178,178,178,177,177,176,172,173,174,166,193,191,182,183,165,167,132,145,142,98,77,56,93,188,180,180,180,179,180,180,178,178,178,177,171,172,175,164,185,200,187,188,171,166,130,130,133,101,71,51,159,186,179,180,179,180,180,180,179,178,178,178,168,170,174,165,181,202,183,178,168,160,124,117,131,97,55,77,186,179,181,180,180,181,180,179,178,178,179,179
24,139,140,140,140,140,141,141,141,141,140,140,140,139,138,136,136,135,134,132,132,130,129,128,127,125,123,122,120,142,142,142,143,143,143,143,142,142,143,142,142,141,140,139,139,137,136,134,137,134,132,131,130,128,127,124,122,145,145,146,147,146,146,146,144,145,145,146,145,144,143,142,141,141,140,137,110,129,137,134,133,131,129,126,124,147,147,148,147,148,147,147,148,147,147,148,147,146,145,144,143,143,141,143,83,97,144,134,134,132,131,129,127,149,150,149,149,150,152,153,148,148,149,148,148,147,147,146,146,144,145,149,84,91,146,136,137,134,133,131,130,153,152,152,153,155,132,135,156,151,152,152,151,150,149,148,148,146,148,149,81,95,149,140,139,138,136,134,133,154,154,154,154,154,113,78,151,156,155,155,154,153,152,151,151,147,154,147,76,108,151,141,142,140,137,136,136,155,155,155,155,154,123,71,115,165,155,157,157,155,154,153,153,148,160,143,76,121,152,142,142,141,139,138,136,158,157,157,157,161,140,88,85,167,155,157,158,156,155,155,154,156,160,123,68,136,151,146,145,143,142,140,138,159,159,159,159,161,152,106,64,155,161,158,159,162,160,157,150,152,163,105,64,151,149,148,148,145,144,142,140,160,161,161,160,161,159,130,67,124,170,160,161,140,141,160,132,84,114,100,86,161,149,151,149,146,145,144,141,162,162,162,162,162,163,141,83,83,171,162,147,124,105,117,112,82,63,71,112,162,152,153,151,148,147,146,144,164,164,164,165,164,167,145,104,63,153,162,142,138,115,106,97,118,90,37,134,162,154,154,152,150,150,148,145,166,166,165,166,165,167,155,133,81,112,147,139,146,113,116,115,122,86,46,152,159,156,154,154,152,150,149,147,166,167,167,167,166,167,162,149,94,75,108,116,160,117,84,87,109,104,51,138,165,158,156,155,154,152,150,148,167,168,168,168,168,170,169,152,123,109,94,94,143,122,56,35,127,122,62,91,172,157,158,156,156,154,151,149,169,169,169,169,170,170,170,156,159,120,78,58,124,103,53,30,108,139,102,50,144,163,158,158,158,156,153,151,171,171,171,171,171,170,172,160,153,101,77,61,118,93,45,63,152,152,127,51,101,172,157,159,158,156,153,153,172,172,172,173,174,173,174,167,151,128,120,77,114,113,63,131,163,145,110,47,106,171,158,159,158,156,154,154,172,173,174,174,174,175,176,170,154,151,128,85,100,91,114,173,150,131,97,36,130,171,160,161,160,157,156,154,173,174,174,174,174,173,176,172,147,160,137,112,78,95,165,169,146,120,89,44,149,169,161,161,160,160,158,155,173,173,173,173,174,175,176,173,151,147,140,126,87,104,166,158,139,115,76,51,160,165,162,161,160,159,156,155,174,174,174,175,175,176,175,177,151,139,138,136,105,94,157,157,130,103,60,62,170,163,162,161,159,157,154,152,175,175,176,176,176,177,176,180,157,141,141,138,127,91,146,155,122,89,40,93,177,163,164,162,160,157,158,160,175,175,176,175,175,176,176,178,169,147,146,137,137,81,117,136,96,66,26,133,173,163,164,161,161,168,150,116,180,181,183,182,183,185,184,185,182,151,150,138,124,89,88,110,81,46,42,166,169,166,168,172,159,126,63,29,117,121,125,130,132,136,139,143,145,155,148,129,117,107,81,103,86,31,97,174,162,162,149,108,64,30,24,24,75,76,77,77,75,75,75,71,84,158,153,141,136,116,95,104,74,36,72,86,82,72,52,27,26,30,23,22
6,179,181,183,185,187,187,188,189,189,189,189,188,187,186,185,185,183,182,180,179,178,177,174,173,171,170,168,166,180,182,185,187,188,189,189,190,191,191,189,188,188,187,187,186,186,184,181,181,180,179,177,174,173,171,169,168,182,185,188,188,189,190,192,193,193,193,191,191,191,189,188,187,187,185,184,182,181,180,179,176,174,172,171,169,183,186,189,190,191,192,193,194,194,194,193,192,191,191,189,188,187,187,186,185,183,181,179,178,176,174,172,171,184,188,190,191,192,194,194,194,195,195,194,193,193,192,192,190,189,188,187,186,184,182,181,179,177,175,174,172,184,188,190,192,194,195,195,195,195,195,195,195,195,194,193,192,190,189,187,187,186,184,183,182,179,175,175,173,185,188,191,193,195,195,195,195,195,196,196,195,196,195,194,194,193,191,189,186,184,184,182,177,172,170,171,170,186,189,192,194,195,195,195,197,197,197,198,197,197,195,192,186,178,166,153,140,130,137,138,130,122,134,152,142,187,190,193,194,195,196,197,198,197,193,182,169,159,155,150,145,138,130,120,111,102,111,111,113,111,115,127,116,188,191,194,195,196,190,180,170,162,153,140,129,122,125,128,132,130,123,108,101,95,94,95,99,97,99,118,145,189,190,188,180,169,150,139,137,134,131,126,112,95,95,98,97,97,98,102,111,123,137,147,155,160,167,176,178,171,158,149,148,145,139,136,136,134,133,131,118,84,66,62,104,143,163,178,186,192,192,190,189,187,184,181,179,152,146,147,149,147,144,142,143,143,143,138,122,86,70,71,142,184,199,200,196,193,191,190,189,187,184,182,181,153,150,147,146,143,141,138,135,136,137,126,99,74,74,79,80,92,125,170,195,195,193,191,189,187,184,182,181,155,151,147,144,141,136,131,127,123,121,109,86,72,75,82,83,81,73,80,143,195,194,192,189,187,185,184,182,152,148,144,140,137,131,127,124,122,127,122,94,66,60,72,85,87,84,74,94,191,195,193,191,188,187,185,182,146,142,137,132,129,125,123,118,121,130,129,98,69,61,57,55,64,77,73,121,197,196,193,192,189,188,186,184,141,137,129,123,122,119,116,108,109,115,103,81,72,75,75,64,52,71,134,187,198,197,194,193,191,188,186,185,130,129,123,116,113,110,106,98,96,99,85,64,64,74,77,74,65,87,190,200,198,196,194,193,191,189,187,186,120,126,122,115,109,106,103,101,103,104,87,58,50,61,72,76,69,75,182,200,197,196,194,193,192,190,187,185,106,117,119,117,110,102,98,101,108,102,82,66,67,66,58,63,85,136,198,200,199,198,196,194,192,190,187,186,73,90,105,110,105,98,95,95,93,84,74,70,69,67,59,104,183,201,202,201,200,197,196,194,193,190,187,187,24,92,133,113,95,97,101,107,109,121,136,132,105,86,104,175,206,203,203,201,200,198,196,194,193,192,189,186,21,151,201,192,181,185,191,196,200,205,208,208,201,192,201,205,203,203,202,200,199,197,195,193,192,191,189,186,66,184,198,199,201,203,203,205,206,206,206,206,206,206,205,203,202,201,201,200,197,195,194,192,190,189,187,185,147,196,197,198,200,202,202,204,206,206,206,206,206,205,204,203,202,201,200,199,197,195,193,192,190,188,187,185,191,194,196,198,200,202,203,205,206,206,206,206,206,206,205,203,202,201,200,199,197,195,194,192,190,187,186,185,189,194,197,198,200,202,203,204,205,205,206,206,206,206,205,204,201,200,199,199,197,195,193,190,190,187,185,184
3,127,129,132,134,136,137,139,138,138,139,138,137,137,137,139,136,135,132,130,130,127,124,121,117,115,114,111,107,128,131,133,136,137,137,140,140,140,141,140,138,138,137,136,140,137,134,132,130,127,125,123,120,116,113,113,109,128,132,133,137,137,138,139,140,140,140,140,139,137,144,111,85,140,133,133,131,129,126,123,121,118,115,113,111,129,132,134,138,137,139,141,142,141,142,141,141,140,147,109,36,130,137,133,132,130,128,124,120,118,116,114,112,131,133,136,139,140,142,142,141,142,143,142,141,140,146,108,29,114,143,134,132,130,129,126,122,120,118,116,115,132,134,138,140,142,143,145,144,145,146,146,143,141,146,103,19,109,146,135,134,132,130,127,124,122,120,117,115,134,138,141,143,144,147,147,148,149,149,149,148,145,152,124,32,99,148,136,136,134,132,130,127,125,122,120,118,137,140,143,145,147,149,150,151,150,151,150,150,147,144,109,28,85,154,138,138,137,134,131,129,128,125,122,121,138,142,145,148,149,150,153,153,152,153,152,150,155,130,79,27,72,152,142,140,138,136,135,131,129,127,124,122,140,143,148,150,152,154,155,155,156,156,156,153,161,169,135,64,103,93,130,146,139,138,136,134,131,128,126,124,141,145,149,152,155,156,157,159,159,158,160,153,100,97,138,84,125,52,75,158,139,140,138,136,132,130,128,125,143,148,151,154,155,156,158,160,161,159,152,156,104,49,77,89,99,81,15,92,152,141,141,138,135,132,129,127,144,149,153,154,156,157,158,160,161,161,94,81,139,92,43,92,97,94,47,20,117,150,140,140,136,133,131,128,147,150,154,157,157,158,161,162,165,156,114,67,97,123,51,76,81,79,74,18,97,157,142,141,137,136,133,130,147,152,155,158,158,160,163,164,165,115,129,104,62,110,66,8,1,89,84,13,116,156,144,142,140,137,134,131,148,153,156,159,160,162,162,169,146,78,75,105,32,64,56,0,0,86,91,20,129,155,146,143,141,139,135,132,149,152,157,159,161,164,163,170,144,89,30,76,7,34,76,28,27,99,89,21,134,155,148,145,142,141,137,134,150,153,157,159,163,164,166,164,123,78,34,45,32,20,80,31,82,104,71,19,144,156,149,146,145,142,138,135,151,154,159,162,165,165,167,163,140,106,51,28,31,46,107,97,109,85,25,46,165,152,151,149,146,143,139,135,152,155,159,163,164,166,169,166,148,119,69,53,40,112,159,137,95,68,5,105,168,152,153,151,147,144,139,137,153,157,159,164,165,167,170,165,145,123,84,59,53,135,139,113,89,57,19,151,160,155,153,151,148,146,140,138,152,156,160,164,166,167,170,166,133,114,90,72,67,134,130,106,84,30,54,174,157,157,154,152,150,146,142,139,150,156,160,164,166,168,171,173,139,118,103,91,74,121,123,95,61,8,119,173,159,158,157,154,151,147,144,141,152,156,162,165,166,169,172,176,157,124,117,96,70,93,97,68,18,38,175,164,161,159,158,155,152,149,145,142,152,156,162,166,167,169,171,174,168,139,118,97,75,72,76,51,0,122,176,163,164,160,157,155,152,149,146,143,153,157,162,166,168,170,171,174,170,150,114,101,94,78,70,25,33,174,166,165,164,161,158,155,153,150,148,143,152,156,161,165,167,172,173,174,158,148,127,121,103,81,58,6,75,182,164,167,166,165,160,155,154,151,149,146,151,156,161,164,169,172,173,172,146,154,140,121,98,69,41,0,110,181,164,165,164,162,158,156,153,150,148,144
21,137,139,143,146,147,149,151,152,153,154,154,155,156,156,157,155,154,154,154,153,153,152,151,152,150,148,148,148,136,140,144,147,148,150,152,153,154,155,156,157,158,158,157,157,158,156,156,154,154,153,152,152,152,150,149,149,138,141,144,147,149,152,153,153,155,156,158,159,160,158,164,134,134,162,157,157,156,155,154,153,152,152,151,150,139,142,145,148,150,152,154,154,156,158,160,160,160,160,177,120,99,165,158,158,157,156,155,154,154,153,152,151,139,143,147,149,151,154,156,156,157,160,161,161,159,163,174,119,109,165,159,159,158,156,157,157,155,154,154,153,141,144,147,151,152,154,156,158,159,160,161,162,159,168,173,117,112,167,159,160,159,137,116,157,157,156,155,154,142,146,148,151,154,155,158,159,160,160,161,163,161,172,172,118,117,168,160,160,156,126,93,154,159,157,156,155,143,146,149,152,155,157,159,160,161,162,163,165,163,174,169,119,120,169,161,160,153,119,105,163,158,159,157,156,142,145,149,153,155,157,159,160,162,164,164,165,163,176,166,117,116,171,162,159,148,107,124,167,160,160,158,156,143,147,150,154,155,158,160,161,163,165,165,166,164,180,166,116,112,171,163,157,144,102,147,165,161,160,159,158,145,148,152,156,157,159,161,162,164,166,166,167,165,187,167,110,123,173,158,153,128,106,164,163,162,161,161,159,146,149,153,155,158,160,161,163,165,165,166,165,170,184,153,102,133,172,154,153,105,121,170,163,162,162,162,161,146,150,153,155,158,161,162,164,165,171,153,128,147,167,128,90,137,169,161,142,96,150,169,164,163,162,162,161,146,151,154,156,159,161,163,165,164,173,152,113,106,102,99,86,143,166,160,121,106,170,166,165,165,164,163,162,146,151,154,156,160,162,164,165,170,167,162,147,131,97,82,100,132,145,142,99,133,175,166,166,166,165,164,163,148,152,155,158,161,163,166,165,180,184,175,187,159,122,82,94,105,117,113,94,159,172,167,168,167,166,165,165,149,152,155,159,161,164,164,173,168,167,172,183,151,109,89,85,95,101,94,111,175,169,169,169,168,168,166,165,149,153,156,160,162,165,164,180,146,138,162,142,146,117,96,87,84,94,85,136,179,170,170,170,169,168,166,166,149,152,157,160,163,166,165,182,166,142,120,97,152,136,104,91,83,87,86,152,178,171,171,171,170,169,168,168,149,153,157,161,163,165,168,183,156,121,104,86,134,151,118,97,89,87,82,152,179,171,172,171,171,170,168,168,150,154,158,161,165,164,172,184,149,136,134,108,155,165,131,116,94,90,82,151,180,171,171,172,172,171,170,168,150,154,158,162,165,164,178,186,157,152,125,141,200,166,135,128,100,93,87,156,180,173,173,173,172,171,171,170,150,154,158,163,166,165,180,187,173,144,130,187,191,155,130,125,105,95,91,160,180,175,174,173,173,172,171,171,151,155,159,163,167,165,179,197,174,139,146,193,178,152,127,117,108,96,99,169,180,175,176,175,174,173,172,172,150,154,159,162,166,165,179,190,154,150,148,191,175,156,141,110,102,96,108,177,177,175,176,176,174,173,173,172,148,153,159,161,163,164,175,175,152,169,141,188,175,149,140,114,100,95,120,181,175,176,175,175,173,171,171,171,149,154,158,162,164,166,171,168,178,175,146,185,164,139,124,109,103,94,130,182,176,177,175,174,174,172,172,171,149,154,159,162,164,167,169,171,181,163,140,174,153,129,110,102,101,92,143,182,176,177,176,175,174,172,173,171
8,175,175,175,175,176,174,180,150,122,178,174,175,175,174,173,171,171,171,169,168,167,166,165,164,162,161,160,158,177,176,176,176,176,176,174,128,83,176,177,176,176,177,176,174,174,172,171,171,170,169,168,166,164,163,162,160,178,177,177,178,178,180,165,102,93,187,178,178,178,178,177,177,175,175,174,173,172,171,170,168,166,165,164,163,181,180,180,181,181,177,153,75,129,192,178,180,181,181,180,178,177,178,177,175,174,173,171,170,169,168,167,165,181,182,181,181,182,177,134,62,169,186,181,181,181,182,181,179,180,180,178,177,175,175,174,172,171,170,169,166,183,183,182,183,183,178,131,70,180,185,184,186,188,183,182,181,180,181,180,178,177,177,176,175,174,172,170,168,184,184,183,184,184,175,120,76,186,186,185,162,149,188,187,184,186,181,182,179,175,179,176,177,176,173,172,171,186,186,185,186,186,169,111,70,185,188,173,142,95,125,149,114,156,190,181,183,137,161,182,177,177,176,174,172,187,187,188,187,187,172,147,82,163,189,170,160,129,73,106,101,83,154,122,138,144,111,192,178,178,177,176,175,187,188,188,188,189,175,164,104,142,188,168,175,140,86,83,107,87,138,111,83,146,109,137,193,179,178,176,175,188,189,189,189,190,181,159,127,130,157,163,179,146,91,69,87,117,143,101,68,129,139,82,140,185,180,177,176,190,192,190,189,190,184,168,160,140,140,124,163,147,102,63,63,126,132,87,55,100,156,120,75,143,189,177,177,191,193,191,191,192,185,181,154,129,120,118,133,156,105,56,58,131,118,81,39,96,168,129,63,135,192,178,177,192,193,194,192,194,186,168,130,103,88,89,103,169,136,77,64,132,104,60,24,136,169,104,67,180,183,180,179,193,194,194,193,194,184,172,148,119,83,71,56,154,181,114,69,133,94,38,65,148,148,70,122,196,181,182,181,194,195,194,194,195,178,173,160,121,76,73,67,144,170,116,76,110,99,110,118,151,109,63,177,189,184,182,182,195,194,195,195,194,174,179,161,118,88,69,85,171,130,64,90,117,128,134,100,117,70,90,200,184,186,184,181,195,195,196,196,194,178,179,154,128,94,77,97,153,143,140,162,156,134,125,81,79,43,149,196,186,186,185,183,195,196,196,196,193,179,176,161,131,90,87,134,177,177,188,174,149,131,108,70,38,109,198,188,188,187,186,185,196,194,195,196,193,171,176,169,130,95,107,165,182,182,183,162,139,118,92,39,95,200,191,190,189,188,187,185,194,194,196,197,194,173,170,165,139,103,124,172,178,190,176,149,128,107,53,80,196,192,189,189,188,187,186,183,196,196,196,197,197,178,171,163,141,104,131,167,164,170,153,132,113,68,65,188,193,189,188,189,188,187,185,182,197,197,196,197,197,178,173,166,137,114,130,163,152,148,123,107,70,52,176,199,189,191,189,189,188,188,186,183,196,196,196,197,194,179,169,157,142,129,129,158,146,131,109,67,44,164,203,192,195,194,190,189,187,186,185,187,196,195,195,197,189,176,166,161,157,139,129,148,134,110,78,44,157,204,193,196,194,193,189,189,190,192,196,173,200,202,204,206,181,173,169,169,155,138,138,147,119,83,42,142,212,194,198,196,195,199,200,192,179,163,125,77,131,137,141,143,156,181,178,171,154,139,140,131,99,58,69,184,183,186,186,187,187,165,125,93,66,53,38,38,88,89,90,84,146,187,176,161,147,142,124,112,87,50,66,95,100,103,104,104,90,61,38,38,33,32,38,32
1,0,24,28,37,47,66,78,88,94,97,101,103,106,111,115,115,118,123,122,122,125,126,126,128,129,129,129,129,5,24,29,38,49,70,81,88,95,99,103,105,107,113,113,130,100,85,130,127,125,128,129,129,130,130,130,129,11,25,31,39,50,72,82,89,96,100,105,107,112,115,116,145,86,49,109,104,131,129,131,131,131,131,131,131,16,26,33,41,54,74,82,91,97,102,106,107,111,122,101,137,84,71,101,61,133,130,131,133,133,133,132,132,19,26,34,42,56,76,85,93,98,103,107,109,114,135,77,129,79,82,115,56,125,133,133,134,134,134,134,134,20,27,34,43,58,78,88,94,100,105,109,106,126,126,75,136,82,86,118,52,118,138,134,135,136,136,136,135,23,30,35,44,61,80,88,95,101,105,110,108,133,115,68,131,77,87,125,58,117,141,136,138,137,138,138,137,25,30,37,46,64,81,90,97,102,104,126,104,113,106,70,134,78,85,117,56,114,143,138,140,139,139,140,139,24,30,38,47,67,80,90,99,103,106,137,74,113,90,93,141,72,88,129,55,113,145,139,140,141,141,141,140,26,32,40,48,70,81,91,100,101,119,132,58,117,76,117,136,63,106,143,58,114,146,140,142,142,142,144,143,27,32,40,51,72,83,91,101,99,138,113,62,132,77,104,110,46,112,128,55,119,147,143,143,144,144,144,144,28,33,42,53,72,84,93,101,103,148,93,62,122,53,93,90,41,125,118,50,126,147,144,145,145,145,145,145,28,35,43,54,75,85,95,99,113,152,83,53,105,94,96,103,119,128,110,49,130,147,146,147,146,146,146,146,30,36,43,57,77,85,96,96,130,145,78,70,113,139,94,109,120,114,97,47,133,148,147,148,147,147,147,147,30,36,44,59,79,87,97,96,144,145,125,115,134,135,127,115,97,91,76,46,132,149,146,148,149,150,150,149,31,37,45,60,79,89,96,104,158,128,114,116,108,98,142,144,129,99,70,43,133,150,148,150,151,151,151,150,33,39,45,61,80,90,92,127,158,107,83,76,59,57,134,136,130,115,84,42,134,150,148,150,150,152,152,152,33,39,47,64,83,91,90,143,148,101,97,103,89,125,152,140,115,97,72,29,119,157,150,152,152,152,154,153,33,40,47,67,84,91,91,148,153,118,99,103,131,177,157,129,107,70,54,24,84,162,150,153,153,153,154,153,33,41,47,67,82,92,94,144,166,133,111,104,137,182,161,124,99,63,41,26,68,162,151,154,155,154,154,154,34,41,48,68,81,91,95,137,167,132,117,108,132,173,151,123,89,62,38,21,94,163,152,156,155,155,155,156,35,43,51,71,83,94,97,128,163,131,124,111,118,158,143,114,81,58,37,34,140,159,155,156,157,157,158,158,35,42,52,71,84,93,99,118,158,138,135,122,134,152,124,96,70,53,27,78,163,155,157,157,159,158,159,158,35,43,52,73,84,93,102,110,142,139,132,118,133,138,108,82,63,47,27,123,161,156,158,159,159,160,160,160,36,43,53,74,85,96,103,106,131,135,128,115,106,111,97,75,65,42,38,146,159,158,160,161,161,161,161,161,35,41,51,72,82,94,102,105,118,132,125,114,105,106,103,86,65,34,54,156,155,157,158,160,161,160,160,160,34,40,51,72,80,91,101,107,120,138,133,123,116,104,103,91,61,28,80,162,152,156,158,159,159,160,160,160,33,39,51,71,80,92,101,104,152,138,129,135,118,102,84,75,57,20,82,163,152,156,158,160,160,160,161,161
24,155,157,158,159,160,160,160,160,161,161,161,161,162,162,161,161,162,161,161,161,160,160,158,160,101,38,29,32,158,160,160,161,161,162,163,162,163,163,164,164,164,164,163,163,164,164,164,163,161,161,162,147,83,45,39,35,160,161,163,163,163,165,165,165,165,165,166,166,165,166,166,165,166,166,166,165,164,163,165,149,69,44,49,57,162,163,165,166,166,167,167,167,167,167,168,167,168,167,168,167,167,167,167,167,166,165,165,161,83,46,63,59,163,165,166,166,167,168,169,169,170,169,169,170,169,169,170,171,170,170,170,169,168,167,164,171,122,47,62,45,165,166,167,168,169,170,171,171,171,171,171,171,171,172,172,172,172,172,172,171,170,170,169,168,157,69,52,40,166,168,168,170,170,171,172,173,172,171,172,172,173,173,173,173,173,173,173,172,172,171,171,168,177,101,45,38,167,169,171,171,170,168,175,173,173,173,173,174,174,175,175,175,176,175,175,175,173,172,172,170,176,140,40,37,169,170,172,172,175,134,162,177,174,175,175,176,176,176,176,176,177,177,176,177,175,174,174,173,174,164,109,108,170,170,173,173,175,127,129,184,174,176,176,177,177,177,177,177,177,178,177,177,177,176,175,175,175,166,126,165,170,172,174,175,178,144,100,174,178,177,177,177,176,178,177,178,178,177,177,180,178,177,177,175,177,164,142,178,171,173,175,176,177,161,105,140,185,175,177,177,178,180,182,179,180,183,181,162,174,180,176,177,177,174,162,137,172,174,176,176,177,175,139,102,175,180,178,178,180,174,165,183,174,156,188,145,123,176,179,178,177,176,161,116,172,175,176,177,177,180,162,115,127,184,180,176,187,176,136,169,173,111,148,170,99,158,185,177,176,170,141,118,173,176,177,177,178,180,173,154,122,147,185,175,196,193,165,136,166,126,132,178,109,159,186,176,184,166,117,96,173,175,176,176,178,179,178,164,140,131,166,181,178,197,187,127,146,151,126,171,125,158,187,177,188,132,100,147,172,175,176,176,177,178,178,175,159,166,155,165,160,175,194,143,117,155,125,176,126,140,166,177,171,97,149,187,173,175,177,177,177,178,179,177,187,178,160,144,136,135,181,161,103,129,136,174,141,96,146,172,131,116,183,174,173,175,177,177,177,178,180,179,187,188,149,134,117,107,146,169,100,121,149,157,164,104,158,148,110,166,180,176,172,175,176,176,177,178,180,181,181,192,190,154,117,121,128,159,121,116,168,118,137,154,155,116,118,184,177,177,178,180,182,182,182,182,183,185,183,191,197,190,154,115,125,148,142,104,168,123,171,168,144,101,149,184,178,177,142,145,147,151,154,157,161,164,164,176,203,196,194,144,116,148,171,146,166,180,181,143,126,117,187,186,182,179,93,92,94,95,95,96,97,98,95,111,200,190,194,172,134,125,173,205,205,198,163,135,115,107,132,132,149,163,99,100,100,100,99,99,100,100,101,92,164,192,195,189,152,131,139,193,197,176,149,126,103,111,132,157,175,185,99,98,98,98,100,100,100,101,102,97,114,192,200,190,161,136,131,173,186,160,145,107,112,189,190,184,185,193,98,97,98,97,99,100,100,101,101,104,92,165,189,166,143,127,130,152,165,146,123,97,142,165,170,183,177,182,98,99,99,98,98,98,99,101,101,103,92,143,187,151,146,138,135,145,153,136,102,109,177,151,144,163,171,171,96,97,98,99,99,99,99,100,100,101,94,130,189,169,166,154,144,147,151,128,91,120,174,163,122,137,159,170
15,83,92,99,106,110,111,114,119,123,127,130,134,137,140,142,145,147,149,152,152,153,154,155,157,157,157,159,158,84,93,100,106,112,113,115,121,125,128,132,136,137,140,144,147,150,152,153,153,154,156,156,158,158,159,161,160,86,94,102,109,114,116,117,122,128,130,133,136,140,142,145,148,150,153,153,154,155,157,158,158,158,159,160,162,87,96,102,109,113,115,117,124,128,131,135,139,141,145,147,149,152,154,155,156,157,159,160,159,160,162,161,162,88,97,105,110,114,115,119,125,129,133,137,140,142,145,148,150,153,155,157,158,159,160,161,161,163,164,163,164,89,98,106,112,116,117,121,126,132,135,138,141,143,147,149,152,153,156,157,158,159,161,162,163,164,164,165,166,90,99,107,112,114,119,122,127,132,136,139,142,145,149,150,152,155,158,159,160,162,163,164,166,166,165,166,167,90,99,107,117,163,145,132,130,132,138,141,145,147,152,152,155,158,159,161,162,163,164,166,167,167,167,167,168,91,102,105,128,185,152,142,140,135,144,143,142,141,145,152,158,159,161,163,163,163,165,166,167,168,169,169,170,93,102,109,116,142,141,135,129,130,148,146,143,137,126,136,145,150,156,162,163,167,170,169,169,170,171,171,171,94,102,111,117,120,123,121,115,120,134,136,137,136,137,143,136,139,144,153,153,146,154,168,173,170,172,172,172,96,105,113,119,123,125,128,133,135,136,133,126,125,134,138,133,129,127,145,154,145,134,126,157,179,172,174,175,96,106,114,119,123,126,129,136,141,144,147,145,142,139,133,124,117,125,144,152,159,133,126,115,150,180,174,176,96,106,114,120,125,127,131,136,140,145,149,152,156,157,157,150,143,153,151,147,152,146,134,140,113,142,182,175,99,108,116,121,127,129,131,137,141,146,149,153,156,160,159,168,191,172,146,113,151,151,132,151,135,105,147,187,100,108,117,123,127,128,132,137,142,147,151,154,172,150,131,145,170,165,131,85,145,151,136,150,148,128,97,148,100,110,118,124,128,128,133,139,144,148,151,160,178,147,121,150,185,174,129,111,131,140,146,147,141,128,107,93,102,111,118,125,129,130,134,140,144,150,153,159,159,129,124,157,186,169,124,120,121,119,133,137,119,120,112,101,102,112,120,127,129,132,135,140,145,151,154,156,164,163,133,151,173,150,129,128,130,128,132,135,111,105,112,109,102,112,121,127,128,131,136,141,147,151,155,156,167,204,171,107,93,95,109,133,139,136,142,139,118,111,112,110,103,113,122,127,129,132,137,143,148,152,157,159,162,203,182,123,57,34,27,46,95,136,137,135,124,124,115,104,104,113,123,128,130,132,138,143,148,153,158,159,161,202,181,118,74,66,45,21,24,104,127,120,112,98,82,68,104,114,123,128,130,132,138,145,149,154,158,162,160,198,181,98,104,105,93,64,42,50,83,73,61,49,46,39,105,115,123,128,130,132,139,146,150,155,158,163,160,191,191,108,134,131,120,116,89,56,50,48,46,43,44,42,104,115,124,129,131,134,139,145,150,154,158,163,161,183,204,116,127,141,127,107,72,53,51,50,51,45,45,42,104,115,123,129,129,132,138,145,150,154,158,161,162,170,204,121,123,184,160,95,60,48,50,51,49,45,45,43,105,115,124,129,130,133,139,146,151,155,158,163,164,171,190,102,139,189,169,88,53,48,50,50,48,45,46,46,107,116,124,130,131,135,140,146,151,155,159,163,164,173,150,123,177,179,180,91,62,55,54,47,45,46,47,47
24,138,139,141,141,141,143,145,145,145,145,146,146,145,145,145,144,143,141,140,138,138,137,135,133,132,130,129,127,142,144,145,146,147,148,148,148,149,149,149,148,148,148,148,147,147,146,144,143,142,140,137,139,138,133,133,132,146,148,148,150,151,151,151,154,154,153,154,151,150,152,153,151,150,149,148,147,146,145,142,128,130,141,137,136,149,151,152,153,154,156,157,157,156,157,155,155,156,155,156,155,154,153,151,150,149,147,151,117,61,142,141,138,152,155,156,157,157,157,158,157,158,161,161,158,158,157,157,157,156,156,155,153,152,148,158,121,40,134,145,141,155,157,157,158,159,161,162,162,164,158,155,165,160,160,160,160,159,158,157,156,156,151,165,120,42,138,149,145,158,160,160,161,164,165,165,164,168,152,75,145,171,164,167,165,164,162,160,159,159,156,170,105,49,149,150,148,162,164,165,167,167,166,167,167,172,140,65,77,178,166,170,169,167,166,165,164,161,163,176,101,61,160,152,150,165,166,168,169,169,169,169,168,174,156,99,43,160,173,169,171,171,168,167,166,160,172,165,80,73,168,153,153,168,169,170,170,172,173,173,173,173,171,125,39,126,184,169,172,173,173,168,170,168,189,148,47,93,171,155,157,171,171,174,174,174,174,175,174,174,178,146,63,78,188,172,176,173,167,177,165,114,124,150,40,129,170,160,160,173,174,176,176,176,175,176,176,176,179,161,101,41,169,182,174,142,105,128,144,91,26,78,57,160,168,164,162,176,176,177,178,178,179,179,180,179,181,170,119,32,116,196,157,144,123,96,90,87,85,29,54,175,166,166,164,176,178,180,180,181,182,182,182,182,183,178,136,78,65,188,143,159,121,111,104,116,122,14,73,187,165,167,166,179,181,181,182,183,184,184,183,183,183,185,160,125,40,112,107,161,143,93,99,101,99,32,80,188,167,169,167,181,182,183,184,184,185,186,186,185,184,188,175,129,75,82,88,129,161,74,10,73,136,70,34,179,173,172,169,182,183,184,186,186,186,186,186,187,188,191,180,158,149,89,54,81,145,63,0,37,140,103,23,113,187,170,171,184,186,188,189,189,189,189,189,190,190,192,181,171,146,64,27,66,119,40,0,69,161,150,67,29,179,174,173,187,187,190,191,191,191,192,192,192,193,192,189,173,132,94,72,74,116,62,24,164,171,144,73,19,166,178,174,188,190,192,192,193,193,194,194,195,195,194,195,175,159,144,90,70,117,66,122,185,154,125,40,30,181,175,176,188,190,192,193,193,194,196,195,194,195,195,197,172,162,165,103,84,54,108,189,181,137,109,29,54,195,175,176,185,188,191,191,193,195,193,193,195,195,195,198,176,154,166,127,101,51,162,185,167,133,98,22,82,197,177,176,187,189,191,192,194,195,194,194,195,196,196,199,180,152,147,136,117,58,138,179,156,120,83,7,104,194,176,176,190,190,191,194,195,195,195,196,197,197,197,200,187,145,147,145,136,82,119,181,154,105,60,0,144,192,179,178,190,191,192,193,195,196,197,197,197,198,200,200,198,159,153,142,148,102,84,164,131,79,24,17,185,183,181,180,200,200,201,201,201,202,203,203,202,202,203,202,207,175,160,150,145,105,58,122,95,49,0,58,201,179,179,182,142,147,154,158,164,168,172,178,181,185,190,191,197,177,162,147,127,98,70,76,90,37,0,148,201,188,190,177,59,58,57,60,61,63,66,71,73,74,78,82,75,130,175,142,128,122,90,74,95,22,12,125,129,127,106,56
24,96,103,112,126,135,142,148,153,158,161,166,168,171,172,172,172,170,169,168,167,165,162,160,160,159,155,152,149,99,104,116,131,141,147,153,157,163,167,171,174,176,178,178,178,177,175,174,174,172,170,168,166,164,161,157,156,102,107,120,134,144,151,156,162,167,172,175,180,182,182,182,183,182,182,181,181,179,176,175,173,172,169,165,162,104,111,123,137,146,154,159,164,170,176,181,184,185,184,187,187,187,187,186,184,183,180,180,178,177,175,171,167,106,112,124,140,150,158,164,168,173,179,184,188,190,190,191,191,190,189,190,188,189,187,185,184,183,181,177,174,109,115,137,147,153,161,167,172,177,182,187,191,192,191,193,194,194,193,192,192,191,191,190,189,189,187,183,180,107,135,146,105,162,163,169,174,180,185,189,192,195,195,196,198,197,196,196,196,195,194,195,194,192,191,188,185,107,147,132,58,160,167,171,176,183,188,192,194,194,197,198,200,206,200,197,199,198,197,198,199,195,193,191,189,109,155,132,52,154,171,174,181,187,189,193,198,205,203,204,174,141,198,202,198,200,202,200,195,203,198,194,190,111,161,118,45,152,174,175,180,184,196,195,196,155,177,237,175,88,105,208,204,194,172,153,103,123,206,196,201,114,154,111,44,152,174,187,167,118,162,215,205,110,74,154,186,129,65,177,192,175,138,84,49,161,221,196,159,115,154,128,47,142,175,207,203,158,130,197,208,133,86,73,186,149,86,115,148,188,103,60,159,181,114,37,6,117,156,147,59,120,182,198,232,219,170,116,208,164,127,77,165,152,79,56,172,153,57,48,62,13,0,0,0,124,146,171,122,128,171,196,193,231,199,121,136,198,137,69,100,127,51,92,195,98,37,0,0,8,14,6,3,126,132,185,161,151,175,197,145,172,204,126,63,188,164,83,28,46,56,157,161,63,7,0,0,0,11,6,0,129,132,170,186,179,204,206,178,145,168,120,43,152,183,93,13,22,127,167,119,36,0,0,6,0,0,9,4,130,138,159,216,190,170,178,160,124,140,129,71,86,130,56,46,87,131,127,79,8,0,0,0,0,0,0,10,129,142,153,214,192,148,164,145,100,107,133,103,67,65,124,157,143,140,93,45,0,2,0,0,0,0,0,1,130,144,154,201,204,127,113,128,108,110,133,148,118,143,225,205,166,153,75,23,0,0,7,0,0,0,0,0,87,95,90,144,208,148,96,114,159,122,178,217,191,220,232,196,164,142,61,22,0,0,0,3,0,0,0,0,73,76,68,98,215,185,123,94,145,142,193,216,225,239,222,183,154,123,48,9,0,0,0,4,0,0,0,0,79,81,81,85,196,201,151,110,111,150,177,224,232,226,203,169,141,113,42,0,0,0,0,0,0,0,0,0,81,82,85,76,172,211,175,133,110,142,162,221,231,215,188,157,129,110,46,0,2,0,0,0,0,0,0,0,79,81,86,73,143,214,190,150,129,140,149,206,223,199,176,152,119,100,43,0,0,0,0,0,0,0,0,0,78,80,83,77,106,204,193,166,141,147,139,189,213,187,173,151,102,85,34,0,0,0,0,0,0,0,0,0,78,79,80,81,79,172,194,177,152,156,136,160,198,180,177,142,86,74,12,0,0,0,0,0,0,0,0,0,77,78,79,81,75,112,196,187,166,157,141,133,171,170,161,126,76,64,0,0,0,0,0,0,0,0,0,0,76,78,78,79,82,75,158,193,170,156,138,116,132,151,133,105,74,49,0,0,0,0,0,0,0,0,0,0
24,63,75,88,97,105,109,110,116,123,127,130,134,136,137,141,144,145,146,149,150,150,151,150,150,150,149,148,148,63,77,90,99,107,110,111,117,125,129,132,136,138,140,143,145,147,149,151,152,152,153,153,152,153,152,152,152,64,78,91,101,108,112,113,121,126,130,134,138,141,144,146,147,149,150,152,153,153,155,154,153,153,153,153,153,66,80,92,104,110,110,118,123,128,132,136,140,143,146,148,150,151,153,154,155,155,156,157,155,155,155,155,154,66,81,93,105,110,142,110,119,132,134,138,140,145,147,150,151,153,155,156,158,157,158,158,158,158,157,157,157,66,82,94,104,116,159,85,94,138,135,139,143,146,149,151,153,156,156,158,159,160,160,159,159,159,159,160,159,68,82,96,106,114,136,79,69,136,137,142,146,148,153,154,156,157,163,162,162,163,160,162,161,160,160,160,160,68,84,97,108,111,138,92,51,124,144,143,150,150,150,153,165,167,133,152,167,163,164,164,163,163,162,161,161,69,85,98,110,115,126,113,62,90,147,142,133,158,155,102,148,182,123,81,158,168,165,165,165,165,164,164,164,71,86,100,110,118,121,141,84,56,134,164,114,158,173,87,121,172,120,60,95,176,167,167,166,166,167,165,165,71,87,100,111,120,120,135,108,78,135,194,138,175,182,99,157,156,82,55,61,161,171,168,167,167,168,168,167,73,88,101,113,121,123,130,151,106,138,210,143,167,178,93,166,146,60,44,51,125,181,167,170,171,170,166,157,74,89,102,113,122,124,127,146,130,160,200,135,146,178,96,173,153,57,45,58,86,183,170,173,171,165,154,135,75,91,103,115,123,126,127,146,194,166,181,148,129,167,98,187,155,44,41,58,49,159,181,169,170,170,139,95,76,91,105,116,124,128,128,154,180,140,149,135,92,144,103,198,123,26,50,68,56,97,168,161,174,151,94,63,78,93,107,118,125,129,130,151,200,162,139,123,81,130,104,73,33,48,62,84,109,121,144,151,138,86,62,142,78,95,107,119,125,128,131,148,203,178,138,119,127,131,151,74,81,142,136,145,142,135,127,116,74,79,165,183,78,95,109,119,127,129,132,145,197,184,158,129,123,131,162,166,191,184,171,157,138,113,97,68,75,176,184,177,79,96,110,120,127,129,134,144,195,185,154,129,141,180,198,203,187,172,158,143,116,90,60,65,170,186,179,180,80,97,110,120,127,129,135,141,188,188,161,147,153,183,202,201,184,162,144,119,90,53,71,167,189,181,183,181,81,97,109,121,128,130,136,139,175,192,170,157,147,180,201,194,177,150,124,97,51,97,183,188,183,185,184,183,82,98,110,122,129,131,137,142,164,191,172,147,133,173,181,170,159,135,107,54,104,195,188,185,186,186,185,184,81,97,109,122,129,130,136,142,159,182,151,128,133,172,164,144,127,103,54,99,194,186,185,187,187,186,185,184,80,97,109,121,127,129,134,141,154,175,150,143,147,173,157,125,102,58,61,185,188,185,185,185,185,185,185,184,80,97,110,121,128,129,135,143,154,196,176,163,156,168,147,108,89,45,127,192,183,186,187,187,186,186,186,185,80,96,110,122,128,129,136,145,153,203,191,169,149,163,132,99,78,52,159,190,186,187,189,188,187,188,187,187,80,96,109,121,128,129,136,144,150,185,175,154,147,163,126,109,60,56,172,189,186,188,187,187,187,187,188,188,78,95,109,121,127,130,136,141,154,179,158,134,142,153,122,101,43,58,180,188,187,188,188,188,188,188,188,188
0,156,157,158,158,159,161,161,161,161,160,160,159,159,160,160,161,161,159,160,161,159,161,161,160,159,160,160,159,158,160,160,159,159,161,162,161,162,160,160,161,161,161,160,159,161,165,161,162,162,162,161,161,161,162,161,161,160,160,161,162,161,161,162,162,162,162,161,161,162,162,172,159,123,134,168,156,158,167,166,164,162,161,162,162,161,161,161,163,165,163,162,163,163,162,165,165,137,127,175,154,122,97,100,117,107,143,161,121,151,166,162,162,161,162,162,163,165,164,163,164,165,166,188,175,138,104,141,161,134,121,55,100,108,88,137,95,130,173,162,164,161,162,163,163,163,165,164,170,151,138,189,173,147,119,134,180,138,128,70,120,121,90,110,101,122,175,164,166,162,163,164,165,165,165,167,194,152,107,147,188,153,126,122,192,152,133,76,134,125,84,83,103,99,179,163,166,163,164,164,165,167,162,181,189,159,133,124,192,162,126,109,191,157,130,71,137,122,72,70,115,62,160,170,166,165,165,165,166,164,179,176,175,170,146,106,174,169,122,92,184,158,118,56,104,109,64,60,123,55,106,179,166,165,166,166,166,167,182,149,166,180,151,98,148,175,120,74,152,149,104,50,78,95,57,62,126,66,83,178,168,166,166,168,164,177,177,137,147,176,149,97,118,166,114,64,116,135,96,57,65,85,46,75,135,79,86,179,169,166,168,168,166,177,171,143,134,156,131,89,91,146,106,59,82,128,92,54,65,88,54,120,149,90,89,180,171,164,165,165,170,178,160,133,106,139,127,85,71,136,105,51,60,126,91,45,83,95,72,150,145,91,96,180,170,163,165,165,165,189,176,143,97,110,129,75,61,129,109,50,55,132,90,98,151,124,88,141,150,91,105,180,169,165,167,166,167,188,177,147,110,74,107,99,58,130,126,60,62,129,132,150,148,132,104,99,137,84,110,181,169,167,168,167,170,191,181,158,129,93,81,106,76,125,135,112,144,158,156,146,135,116,103,85,87,67,104,183,169,167,168,168,170,191,187,164,139,125,114,107,125,141,151,167,169,167,159,144,129,108,91,84,68,53,99,184,169,166,167,167,170,188,187,171,153,141,132,121,122,143,157,167,166,167,160,140,124,107,85,74,69,47,121,183,171,166,166,167,169,183,183,177,165,157,139,129,125,136,154,165,166,162,155,135,119,102,82,71,55,84,170,177,175,170,172,172,166,179,184,185,176,161,143,130,128,137,159,167,167,156,148,132,116,97,79,58,71,164,175,173,174,134,138,143,136,164,185,188,180,161,146,132,127,136,162,169,162,150,142,128,108,88,71,57,150,184,177,180,179,69,71,76,62,115,188,180,174,162,149,138,126,135,158,159,147,135,128,116,97,80,63,77,135,136,139,136,135,76,77,77,67,85,184,169,162,162,154,144,124,132,156,152,136,119,106,96,86,70,68,73,70,66,63,84,118,75,76,78,74,79,177,160,157,164,156,141,124,127,154,149,128,99,81,76,69,69,77,72,72,98,143,180,179,74,75,75,76,77,170,158,157,165,152,140,131,125,147,143,116,80,67,63,69,76,80,107,149,185,186,174,159,74,75,74,77,72,171,172,160,162,148,136,133,121,130,131,101,68,62,62,68,90,159,194,202,189,183,176,157,75,75,74,76,69,169,179,168,161,146,137,139,118,121,125,93,63,58,61,114,183,200,198,193,183,189,193,178,76,75,76,76,70,159,177,174,161,145,137,139,115,114,121,89,61,45,117,191,190,191,195,182,177,185,195,196
19,202,204,206,208,211,211,213,215,215,215,215,216,216,216,215,215,215,215,214,213,212,213,212,209,208,208,206,205,203,205,207,210,212,214,214,216,218,219,218,218,219,218,218,217,217,216,216,215,214,214,214,212,211,211,209,209,206,208,211,214,215,215,218,220,221,221,220,220,220,221,221,220,219,218,218,218,216,215,215,215,213,213,210,210,207,210,212,214,217,218,220,220,222,221,222,222,222,222,222,221,223,220,220,220,217,217,216,216,215,215,213,212,208,211,213,215,216,220,221,222,224,225,224,225,225,225,224,222,223,222,221,220,220,220,218,218,216,215,214,213,210,213,215,217,218,221,223,224,226,228,228,228,228,227,225,225,224,225,223,223,222,220,221,220,218,218,216,215,212,214,219,219,220,223,224,227,228,228,229,229,227,226,227,220,231,226,224,225,224,223,221,221,221,219,218,217,213,215,220,222,221,224,227,228,231,231,229,231,238,230,246,205,164,231,225,224,226,224,225,223,221,219,219,219,215,217,220,223,225,228,229,230,230,233,235,204,181,209,251,231,111,184,240,234,231,230,229,227,224,225,223,220,216,219,222,224,228,230,230,230,232,231,218,178,131,134,156,170,148,132,160,173,204,209,215,219,223,216,210,218,217,221,224,227,229,229,232,235,231,217,213,221,213,153,89,120,151,140,138,119,131,152,162,146,173,150,158,213,220,222,224,228,229,231,230,225,206,213,230,233,193,123,86,79,106,121,131,120,124,145,151,147,152,155,150,197,220,222,226,229,231,230,226,216,210,213,219,219,197,145,86,77,76,81,86,81,87,96,107,108,107,113,119,140,221,222,226,230,229,226,226,222,218,206,217,227,227,184,106,74,81,67,94,138,161,164,162,161,172,176,189,211,222,225,228,231,230,227,225,224,221,218,226,230,225,187,110,75,81,65,162,255,243,242,240,242,242,240,237,233,224,225,225,230,227,230,227,227,229,224,222,221,212,194,129,75,77,78,86,230,240,235,233,232,233,233,230,232,220,223,235,235,233,230,230,232,232,222,215,227,224,209,149,80,74,84,58,148,254,235,236,237,235,234,234,233,223,252,255,239,232,233,235,231,222,219,225,233,227,189,138,91,71,87,62,118,255,236,239,239,238,236,235,234,251,255,248,234,228,230,226,221,218,217,209,209,197,161,130,102,81,84,68,189,253,239,239,239,240,238,236,235,255,254,237,229,228,225,221,219,211,208,198,192,184,162,129,106,97,85,54,195,255,241,241,239,239,239,238,236,255,250,238,224,217,219,213,215,212,205,196,186,178,187,135,103,103,86,77,229,249,243,243,242,239,238,238,237,252,246,234,218,203,205,203,204,210,198,188,164,160,180,117,95,110,84,110,255,241,243,244,243,241,240,240,238,246,240,222,202,188,184,189,187,195,181,158,131,131,120,69,94,114,74,161,255,243,244,243,243,242,242,240,239,234,224,200,184,173,153,158,165,171,148,122,118,112,76,87,103,96,173,252,248,246,245,245,244,243,243,240,240,233,198,191,181,151,129,117,129,134,119,105,96,78,73,96,134,202,255,246,247,246,245,246,245,244,244,242,240,193,179,194,176,139,105,98,97,100,86,126,196,183,187,218,245,255,246,247,246,246,246,245,244,243,242,241,239,128,181,188,159,123,80,57,58,116,182,239,255,255,255,254,249,247,248,248,247,248,246,245,243,241,241,240,238,65,116,113,78,52,32,17,15,219,255,247,249,248,249,248,249,248,249,249,248,248,248,245,244,243,241,240,239
0,198,197,197,197,197,197,197,196,197,197,197,197,197,196,195,195,194,194,193,192,190,190,189,189,188,186,185,185,200,199,199,199,199,199,199,199,199,199,198,198,198,197,197,196,195,194,194,193,192,191,191,191,189,188,187,186,201,202,201,201,201,202,201,201,201,200,200,200,199,199,199,198,197,196,195,194,194,193,193,192,190,189,188,187,202,202,202,202,202,202,202,202,202,202,202,202,201,200,200,200,199,198,198,196,195,194,194,193,192,191,190,189,203,203,203,203,203,202,202,202,203,203,203,203,203,202,201,200,200,200,198,197,196,192,192,195,194,193,192,191,205,204,204,204,203,203,203,203,204,204,204,204,203,201,191,180,186,193,181,176,185,177,172,192,195,194,193,193,205,205,205,205,204,204,204,204,204,205,204,202,199,192,167,139,134,153,147,131,141,160,143,179,196,195,194,193,206,206,206,206,206,206,206,206,204,205,201,184,165,161,154,129,102,110,134,116,107,148,133,154,193,196,196,194,207,207,207,207,207,207,205,201,187,181,186,163,125,113,141,135,112,108,135,119,99,137,137,121,166,193,196,196,208,208,209,208,208,207,202,190,159,136,164,157,121,99,134,141,121,111,139,121,90,119,143,115,120,168,196,197,209,209,209,209,209,206,195,183,157,129,153,159,129,103,131,143,118,107,139,120,81,99,146,129,101,134,194,198,210,210,210,210,209,202,185,176,164,138,145,160,131,103,120,141,113,91,116,103,73,100,152,135,96,135,195,199,211,211,211,211,209,198,176,163,162,141,133,152,128,99,104,129,102,64,74,73,72,127,161,130,99,160,199,200,213,212,211,211,207,195,176,150,146,127,108,135,127,97,77,87,73,50,64,73,103,155,158,116,114,184,201,201,213,213,212,211,205,189,167,133,121,96,73,104,111,83,50,51,69,95,120,122,141,162,142,101,140,197,202,202,214,214,214,213,203,188,172,140,111,80,60,73,83,66,55,80,125,156,162,152,143,146,119,93,165,203,203,203,214,215,215,214,202,191,182,158,125,101,86,90,101,108,122,148,170,173,165,153,127,115,92,103,185,205,204,203,215,215,215,214,201,191,189,167,140,118,109,119,143,163,174,183,184,173,159,142,108,85,82,144,201,207,205,204,215,215,215,214,201,188,188,171,147,124,120,134,168,185,189,190,183,164,146,126,91,72,122,190,207,207,206,205,214,215,215,214,203,183,184,174,154,134,130,148,180,191,191,188,172,151,130,106,76,107,181,207,208,208,207,206,214,215,214,214,208,184,181,177,162,148,141,158,183,190,188,176,156,136,113,86,93,168,205,208,207,207,207,206,215,215,215,215,212,190,177,179,170,156,145,160,179,183,177,160,138,118,93,85,149,201,208,208,207,207,206,204,215,215,216,215,214,198,176,176,169,154,143,155,171,169,158,140,116,93,79,129,195,209,209,208,207,207,206,205,215,215,216,216,216,206,181,174,163,149,140,149,161,155,140,119,92,75,114,186,210,211,210,208,208,208,207,206,215,215,215,216,216,207,184,173,159,147,142,145,155,145,123,98,75,108,180,209,212,212,211,209,209,208,208,207,215,215,215,215,214,200,183,174,165,159,153,148,149,137,108,79,90,173,209,213,213,212,211,210,209,209,207,206,212,212,213,213,210,189,181,180,175,168,159,150,143,124,92,71,130,204,214,214,213,213,212,211,210,209,207,205,188,190,193,195,193,178,181,186,179,170,160,149,134,109,82,75,157,210,214,214,214,213,212,211,210,209,207,205
22,153,155,159,162,168,171,173,177,179,180,179,186,186,186,184,181,190,186,190,192,189,190,191,190,190,190,189,188,155,159,163,166,169,174,177,180,185,187,122,168,195,190,201,119,170,199,178,178,197,194,193,193,194,193,192,191,158,161,166,169,173,178,181,182,190,179,92,157,201,198,211,99,156,212,171,109,197,197,195,196,198,198,196,196,160,164,169,172,177,182,185,185,197,175,73,161,202,206,208,108,169,216,176,93,192,203,199,199,200,202,201,199,164,169,171,175,179,184,187,188,203,179,77,164,205,212,199,111,179,219,175,95,191,205,202,203,204,205,204,202,166,170,174,177,182,186,192,191,206,197,82,161,208,215,182,108,187,220,180,107,196,209,205,206,207,206,205,204,168,172,177,181,185,189,196,195,209,210,88,151,213,215,163,107,189,221,172,109,206,211,209,209,208,207,208,209,171,175,179,184,187,193,198,197,213,211,86,149,224,199,143,110,193,222,172,111,210,213,212,212,212,211,212,211,174,178,181,186,190,195,199,200,209,228,120,136,212,178,140,107,202,225,169,114,216,213,213,214,215,214,215,213,176,180,184,187,192,197,200,202,208,221,167,133,113,144,158,111,213,228,159,124,225,213,215,217,216,215,216,216,177,182,186,190,195,199,203,205,210,224,192,166,145,129,133,131,224,220,144,138,230,215,218,219,220,219,218,218,179,184,187,192,196,202,207,204,221,239,208,192,210,187,109,122,214,203,131,158,231,218,221,220,220,221,221,221,182,186,189,194,198,203,207,211,211,178,205,120,196,194,133,74,143,155,98,179,232,221,222,222,222,222,223,222,184,188,193,196,200,206,208,214,218,181,182,87,82,194,174,108,74,104,80,196,232,222,223,225,224,224,223,223,185,189,194,198,202,207,207,220,223,162,164,132,35,120,212,155,89,67,81,216,229,225,225,225,226,227,225,225,186,191,194,200,204,209,209,227,223,168,137,113,75,96,231,194,129,82,81,224,230,228,228,229,229,229,228,227,188,192,196,200,204,210,210,236,230,168,116,104,89,193,234,192,145,107,84,226,231,228,229,232,231,231,231,230,189,193,196,201,204,210,212,238,218,164,131,134,145,243,223,172,134,98,87,230,232,230,230,232,232,232,232,230,191,195,198,202,205,212,214,230,213,161,157,127,180,240,201,160,115,77,116,242,231,233,231,232,233,234,234,233,191,196,201,204,207,213,215,227,208,158,157,131,203,240,182,142,109,71,139,249,231,235,234,236,235,236,235,233,189,195,200,203,208,213,217,223,207,159,177,141,214,237,171,130,97,66,150,250,233,237,237,237,237,236,236,236,190,194,198,202,208,211,216,215,207,169,188,146,201,213,162,123,94,61,169,248,234,238,238,238,238,238,236,236,189,194,199,203,207,211,216,214,207,177,186,147,189,191,144,117,89,66,191,242,235,237,238,239,239,238,236,236,191,196,201,205,207,213,218,218,214,178,164,128,166,165,126,115,86,81,220,238,237,238,238,238,239,238,238,237,192,198,203,206,210,215,215,214,212,173,139,127,169,143,128,120,74,136,244,235,238,238,239,239,239,238,238,238,191,196,201,205,211,215,211,219,223,187,160,150,177,128,141,99,76,213,242,236,237,238,239,240,239,239,238,237,193,198,205,209,214,219,208,216,222,196,182,160,167,125,134,66,146,247,234,236,237,239,239,240,240,239,239,239,160,167,175,183,188,191,192,214,194,180,187,155,156,127,104,68,195,242,235,236,237,239,238,239,240,240,240,237
17,142,145,147,151,152,153,154,155,158,159,160,161,162,165,164,166,167,166,166,167,167,168,167,166,166,166,166,165,145,147,150,153,154,156,157,159,159,159,160,162,164,164,167,166,167,167,167,169,169,169,168,167,167,166,166,165,148,152,153,155,157,159,161,162,162,162,164,162,181,145,145,173,168,169,169,170,170,171,170,168,168,168,167,167,152,154,157,160,162,162,163,164,166,166,165,174,175,114,117,178,170,173,172,172,172,172,172,171,170,170,169,168,157,160,162,164,166,166,166,168,169,170,169,178,190,110,114,183,172,175,174,174,175,175,175,174,173,173,173,172,160,164,166,168,170,170,172,173,173,174,172,184,205,140,104,177,176,177,178,177,178,177,178,177,176,174,175,175,165,168,171,172,175,175,175,176,177,179,176,193,209,158,89,154,186,179,181,181,181,181,182,182,181,177,176,176,169,173,174,176,179,179,180,180,183,184,179,201,202,172,110,128,192,182,184,184,184,185,185,185,183,181,180,180,173,176,178,181,182,183,184,185,186,187,181,212,182,190,131,107,190,189,188,189,189,188,188,187,186,185,184,184,177,180,183,185,186,186,188,189,189,190,190,215,163,202,144,99,183,194,191,193,193,192,191,191,189,188,187,186,180,183,185,190,190,191,192,192,192,190,186,219,174,215,176,106,170,201,194,196,196,196,195,194,193,192,190,189,183,186,189,192,192,193,194,195,198,202,172,146,148,206,189,117,154,206,196,199,199,198,198,196,195,195,194,193,186,189,192,194,195,195,197,196,210,221,188,136,95,163,186,122,139,209,198,202,202,203,201,199,197,197,196,195,189,191,194,195,197,198,200,200,206,179,177,176,149,131,141,118,124,211,201,203,205,204,203,203,201,200,198,197,190,194,196,198,201,201,201,204,209,155,161,190,203,172,102,93,113,209,205,207,207,207,207,206,204,202,201,201,193,197,199,202,203,203,201,207,230,214,153,164,188,155,93,81,95,198,211,209,209,209,208,207,207,205,204,203,195,198,201,204,204,204,210,199,157,229,174,106,170,161,103,82,78,176,218,210,211,211,211,210,209,209,207,205,196,200,204,205,206,206,218,185,118,154,183,76,126,194,119,82,68,164,223,212,214,213,213,212,211,211,210,209,199,204,205,207,208,211,222,197,147,107,167,114,117,215,141,94,65,159,227,212,216,215,215,213,212,212,211,210,202,204,208,210,210,214,211,154,116,88,145,140,146,223,162,115,67,162,229,215,217,217,217,215,214,213,212,212,203,205,209,211,211,217,204,169,130,123,121,159,198,207,167,129,74,174,228,216,218,218,217,217,218,217,215,213,205,208,211,214,212,223,219,163,148,141,146,234,215,177,147,123,80,197,226,219,221,219,218,218,218,217,217,216,206,209,212,215,216,236,204,177,168,126,179,233,182,164,139,104,89,214,224,222,222,222,222,220,218,218,217,217,209,210,213,215,218,239,216,199,144,140,193,213,167,162,139,91,97,224,224,224,225,223,223,223,221,221,218,218,209,212,215,216,219,234,232,172,168,139,221,212,166,158,126,84,111,231,225,226,226,225,224,224,223,223,220,219,210,213,215,218,218,219,218,181,172,153,236,207,163,142,113,77,128,235,225,227,226,226,226,225,223,223,222,220,210,214,215,218,217,211,208,194,162,159,232,191,145,119,100,71,160,238,226,230,228,227,226,226,225,224,224,224,211,216,217,218,222,209,189,193,163,162,214,174,132,104,88,82,207,234,228,229,229,228,229,228,226,226,225,225
8,132,137,144,147,150,151,157,162,163,164,165,166,167,169,168,169,169,170,170,170,170,170,170,168,168,167,166,166,134,140,148,153,151,168,161,158,168,168,168,169,171,171,171,171,171,171,171,171,172,171,170,169,169,167,166,166,138,145,153,157,154,193,153,131,177,172,174,174,175,175,175,175,176,176,175,174,173,174,173,172,171,170,168,167,141,149,156,161,160,207,149,115,183,178,180,180,181,181,180,180,180,181,180,178,178,178,176,176,175,173,171,170,145,153,159,165,165,222,148,114,189,184,186,187,186,186,186,188,188,183,184,187,183,181,182,181,180,177,176,173,149,156,163,169,171,219,144,119,193,189,191,191,196,193,193,183,182,202,189,159,186,188,186,186,184,181,180,179,153,161,168,173,175,223,157,119,196,194,195,197,167,181,226,174,119,181,216,137,138,196,191,192,189,186,185,183,157,165,171,176,181,227,165,127,193,197,213,234,169,159,217,190,140,156,189,165,120,173,203,195,195,191,190,188,162,169,176,181,185,227,191,156,182,206,235,242,229,205,176,175,189,215,154,112,117,145,209,198,199,197,195,193,165,173,181,186,186,223,198,183,197,221,220,222,236,185,180,185,196,195,164,114,79,123,212,201,202,201,199,196,168,176,184,190,189,220,209,194,217,224,198,166,235,193,173,184,164,156,177,137,74,134,218,204,205,204,202,201,170,178,186,192,192,220,225,190,210,212,209,160,187,212,139,117,112,166,192,150,95,173,218,209,208,206,205,204,174,183,189,195,195,224,237,160,193,193,172,168,165,206,143,82,75,211,208,169,109,161,224,211,212,210,207,207,178,186,192,197,198,223,240,171,141,186,148,150,159,187,175,123,89,191,232,186,125,107,217,217,215,213,211,209,179,188,194,199,201,222,243,200,131,148,166,144,175,194,184,126,197,225,223,193,138,89,183,229,217,216,214,213,182,189,196,201,203,220,252,215,154,127,175,146,206,224,191,186,240,229,194,163,134,97,183,233,220,219,216,214,185,191,198,205,208,221,253,223,179,134,148,158,201,233,230,246,233,206,183,142,119,107,214,227,223,224,229,226,187,195,200,207,210,224,253,235,198,154,143,161,193,240,239,245,227,192,161,135,94,144,243,235,234,217,172,121,187,196,203,209,211,224,253,242,208,176,157,165,183,238,244,235,212,179,149,119,91,203,214,166,130,86,60,56,189,197,204,209,212,223,248,242,218,188,179,164,179,222,244,227,195,163,137,110,93,114,74,56,59,67,67,64,190,199,205,210,214,220,238,242,227,198,199,168,167,203,233,220,185,151,129,102,74,51,55,59,54,69,72,58,191,200,206,212,217,218,228,242,232,207,202,177,159,196,212,212,175,142,122,95,62,52,51,66,49,55,70,69,192,200,206,212,217,221,220,236,229,213,198,176,141,187,191,197,160,129,112,75,60,53,37,58,62,47,56,66,191,199,205,210,216,222,214,230,232,213,194,168,139,157,186,170,148,121,102,43,44,67,42,43,64,56,44,54,192,200,206,211,215,222,216,229,244,222,195,169,143,140,173,160,136,114,86,33,27,57,60,38,51,61,49,48,193,200,206,211,216,222,218,229,236,213,184,168,142,137,152,151,128,99,71,52,18,39,63,51,37,57,57,46,195,201,208,212,215,225,209,229,231,184,185,174,149,135,139,145,125,75,52,66,25,25,53,61,43,44,56,51,188,196,203,209,213,228,161,228,234,194,203,184,155,131,133,139,117,51,35,66,38,16,41,60,53,43,46,55
23,186,186,186,185,186,187,186,185,184,183,183,181,181,180,179,178,177,176,174,173,172,170,168,166,165,141,67,38,188,188,188,187,187,188,188,187,186,185,185,184,183,181,181,180,179,178,176,174,173,172,170,168,166,135,58,33,189,189,189,189,190,190,190,190,189,188,187,187,186,184,183,182,180,179,178,177,176,174,173,171,168,120,47,29,192,192,192,192,193,193,193,193,191,190,189,188,187,186,186,184,183,181,180,179,178,177,175,173,166,104,37,23,195,194,194,195,195,195,195,195,194,192,191,187,179,178,180,178,174,175,181,181,180,179,176,174,161,87,31,18,196,196,196,197,197,196,196,196,195,194,191,179,161,154,158,158,148,139,164,182,181,180,179,177,157,76,27,14,198,198,199,199,199,199,198,198,197,196,188,174,164,148,145,150,141,114,127,174,183,182,181,179,163,86,30,15,200,200,200,200,200,201,200,199,199,196,188,172,153,125,117,131,128,113,100,142,179,184,182,181,170,108,46,21,201,201,201,201,202,202,202,201,200,196,187,166,139,109,128,147,146,126,104,104,157,184,184,182,174,133,86,40,202,202,202,202,203,203,203,202,200,192,181,155,135,119,171,190,187,163,129,112,150,185,186,184,178,151,116,80,203,203,203,203,203,204,204,203,199,187,172,144,133,140,187,195,193,187,174,168,180,188,187,185,181,159,128,130,204,204,204,204,205,206,205,204,194,181,165,138,133,155,179,177,173,163,163,187,191,190,188,187,183,166,144,144,206,206,206,206,207,207,205,199,182,171,161,150,151,163,170,168,163,142,124,172,187,186,188,188,186,176,160,151,208,208,208,207,207,207,203,186,165,160,161,166,173,179,177,170,157,133,112,158,175,166,181,188,187,183,168,142,209,209,209,208,208,208,199,182,166,159,159,163,169,169,163,154,143,130,111,138,165,146,162,188,189,187,178,154,209,210,210,209,209,208,197,182,170,158,152,156,162,164,164,158,144,125,101,95,128,119,143,188,190,188,185,177,211,211,212,211,211,209,194,185,180,163,154,155,161,165,162,157,143,104,74,59,81,88,139,189,191,189,187,186,213,213,214,214,213,211,191,183,180,163,156,160,165,166,161,153,132,87,57,44,57,98,167,192,192,190,188,187,214,214,215,215,214,212,189,175,180,174,171,170,166,161,150,134,107,74,54,50,81,154,191,194,193,192,189,187,213,214,214,214,214,211,187,172,184,181,175,167,147,129,110,92,82,68,54,65,136,189,196,194,193,192,190,188,214,214,214,214,215,211,186,172,180,176,168,156,129,94,67,64,71,63,55,92,174,196,195,194,192,190,188,186,215,216,215,215,215,212,186,172,173,169,166,155,123,79,51,54,58,56,62,124,191,197,195,194,191,186,177,167,216,216,216,216,216,212,186,171,170,169,169,157,117,69,45,46,52,58,74,153,198,198,195,190,179,152,136,136,216,216,217,217,217,213,185,169,170,175,174,151,107,71,51,52,61,64,97,179,200,196,180,147,116,95,119,135,211,212,213,214,214,211,181,166,172,180,171,140,101,75,57,57,65,71,132,191,184,156,115,75,60,65,116,143,163,165,167,170,173,174,163,163,175,180,165,131,96,76,60,57,62,84,149,153,115,81,58,48,44,51,102,146,113,113,113,113,115,119,141,163,173,173,156,123,92,74,58,54,59,76,96,78,56,53,44,42,38,42,76,134,112,113,113,112,110,115,144,164,169,163,143,114,86,69,56,51,57,60,62,49,41,49,41,38,36,37,52,104
6,179,181,183,185,187,187,188,189,189,189,189,188,187,185,185,185,183,182,180,179,178,177,174,172,171,169,168,166,180,181,185,187,188,189,189,190,191,191,189,188,187,187,187,186,186,184,181,181,180,179,177,174,173,171,169,167,182,185,188,188,189,190,192,193,193,193,191,190,191,189,188,187,187,185,184,182,181,180,179,176,174,172,170,169,183,186,189,190,190,192,193,194,194,194,193,192,191,191,189,188,187,187,186,185,183,181,179,178,176,174,173,171,184,188,190,190,192,194,194,194,195,195,194,193,193,192,192,190,189,188,186,186,184,182,181,179,177,175,174,172,184,188,191,192,194,195,195,195,195,195,195,195,195,194,192,192,190,189,187,188,186,185,183,182,179,176,175,173,185,188,191,193,195,195,195,195,195,196,196,195,196,195,194,194,194,192,191,188,187,187,185,179,175,172,172,172,186,189,192,194,195,195,195,197,197,197,199,199,199,197,194,189,180,167,153,139,127,136,137,128,118,132,153,140,187,191,193,194,195,196,198,200,199,196,184,170,159,154,149,143,136,129,118,110,100,112,110,113,112,115,128,112,188,191,194,196,197,192,181,170,162,153,138,128,122,125,128,134,132,125,107,101,93,90,90,95,92,93,113,146,190,192,190,182,169,148,136,135,133,130,125,111,93,95,99,95,93,93,97,107,120,137,148,157,162,171,179,180,172,156,147,145,144,138,135,135,134,133,131,120,83,63,56,102,143,165,182,190,196,195,192,190,189,185,181,179,151,144,146,150,148,145,143,144,143,144,139,125,85,70,66,150,193,206,202,197,193,191,189,189,187,184,182,180,153,150,147,146,143,141,138,134,136,139,127,98,72,74,80,75,85,123,175,200,195,193,191,189,187,184,182,181,156,151,147,144,141,136,131,127,123,120,108,84,71,76,83,84,80,69,72,143,199,194,192,189,187,185,184,182,153,148,144,140,137,131,127,124,122,128,124,95,64,58,73,87,89,85,72,85,197,195,194,192,188,187,185,182,147,141,138,132,128,125,123,118,121,132,133,99,68,61,55,52,63,78,67,117,201,196,193,192,189,188,186,184,142,138,128,122,122,119,116,107,109,116,103,80,72,76,76,65,48,67,135,193,199,197,194,193,190,188,186,185,130,129,123,116,113,110,106,97,95,99,84,63,64,75,78,74,64,83,200,201,198,196,194,193,191,189,187,186,120,126,122,114,108,106,103,100,104,106,88,57,47,60,73,78,68,64,187,201,197,196,194,193,192,191,186,185,107,118,120,118,111,101,98,102,109,103,82,65,68,67,56,59,77,135,203,200,199,198,196,194,192,190,187,186,73,88,103,111,105,98,95,94,92,81,70,67,68,67,55,100,191,206,203,201,200,197,196,195,193,190,187,187,18,90,133,108,88,92,95,102,104,118,136,133,101,79,98,180,209,203,203,202,200,198,196,194,193,192,189,186,9,158,207,197,184,190,196,201,205,210,212,212,207,197,207,207,203,203,202,200,199,197,195,193,192,191,189,186,56,192,198,199,202,203,204,205,206,206,205,206,206,207,205,203,202,201,201,200,197,195,194,192,190,189,187,185,146,199,197,198,200,202,202,204,206,207,206,206,206,205,204,203,202,201,200,199,197,195,193,192,190,188,187,185,194,193,196,199,200,202,203,205,206,206,206,206,206,206,205,203,202,201,200,199,197,195,194,192,190,187,186,185,189,194,197,199,200,202,203,204,205,205,206,205,206,206,206,204,201,200,199,199,197,195,193,190,190,187,185,184
7,147,148,149,149,149,148,148,148,148,148,148,149,149,148,147,146,146,146,135,38,18,45,62,64,87,112,126,149,150,151,153,152,152,151,151,151,152,151,152,151,150,150,150,149,148,153,112,28,37,63,57,59,85,108,131,151,154,155,155,155,156,156,156,156,157,156,156,156,155,154,153,152,149,157,86,24,44,53,58,52,80,114,137,153,157,157,158,157,158,158,158,157,159,158,157,154,152,155,151,150,146,151,120,88,106,56,49,70,88,126,145,146,160,161,162,161,161,161,160,161,162,161,163,152,136,152,160,151,136,138,128,149,185,94,42,70,99,140,146,138,164,164,164,165,167,165,163,165,173,179,173,158,145,154,154,150,139,133,128,122,158,99,60,84,119,151,147,136,168,168,167,166,166,167,176,184,188,184,175,160,159,154,122,130,152,142,142,131,129,111,110,151,136,153,156,142,172,171,173,171,165,173,182,181,178,172,170,170,163,151,129,137,156,143,142,136,112,106,92,124,118,151,162,157,174,171,192,188,176,175,177,174,174,175,172,171,164,142,138,129,115,101,94,93,80,76,83,84,91,148,161,166,173,178,203,189,170,166,173,176,175,172,165,156,143,125,111,100,97,101,115,113,90,153,147,124,93,148,157,167,177,184,200,185,155,151,163,165,163,147,121,105,82,77,111,160,171,170,182,154,118,194,125,157,105,141,155,161,178,189,194,174,147,153,154,136,115,91,100,130,96,97,105,85,166,178,175,167,151,110,101,183,107,125,154,150,179,192,191,174,174,170,154,141,132,141,146,142,134,129,140,70,100,189,173,175,173,116,160,189,113,100,150,144,184,194,194,197,203,179,143,146,152,150,143,130,126,125,119,69,95,190,176,177,173,168,152,172,142,92,140,147,187,195,197,205,203,173,134,135,132,124,124,119,113,106,86,78,174,183,179,179,176,174,185,171,158,140,144,148,189,196,199,202,185,161,146,135,110,89,96,111,107,104,88,98,190,182,181,180,181,178,154,116,121,150,146,148,196,200,199,192,175,166,167,170,138,111,124,140,132,115,111,97,149,193,183,181,182,188,151,110,135,144,143,150,200,203,195,184,174,165,178,178,137,111,119,122,112,100,99,76,147,194,183,185,185,187,179,139,157,137,142,149,199,201,194,184,174,176,191,170,131,111,112,110,106,99,80,95,186,188,188,187,184,183,184,157,148,140,133,144,197,199,192,181,180,186,179,152,120,102,91,85,75,60,79,170,195,188,188,187,185,186,187,168,151,147,130,135,194,194,186,178,180,170,152,133,117,107,83,59,73,116,173,198,190,190,188,187,187,187,189,175,152,158,138,119,187,187,180,177,177,161,145,137,124,105,113,163,183,202,198,194,192,191,190,191,190,188,191,176,150,162,156,132,183,181,179,174,171,161,151,138,103,81,183,207,197,195,193,193,194,193,192,193,191,188,190,176,148,159,158,146,180,172,174,173,157,148,139,109,66,140,209,196,197,198,196,196,195,193,193,193,192,191,190,176,148,156,155,150,177,166,160,154,141,129,109,74,100,202,200,200,201,201,199,199,196,194,195,195,193,192,193,177,151,156,152,144,169,158,151,134,116,99,72,79,185,204,200,202,200,201,199,198,198,197,195,196,193,192,194,172,153,156,151,144,149,140,130,111,87,69,85,176,207,201,202,202,202,202,201,200,199,197,195,195,195,194,191,162,156,156,151,141,132,120,113,99,76,110,187,208,201,203,203,202,203,203,202,202,200,199,198,198,196,197,178,155,160,159,155,145
0,173,174,174,174,173,173,173,173,172,171,170,171,170,168,167,167,166,166,163,163,162,160,160,158,158,156,154,154,174,175,174,175,175,174,174,174,173,171,171,172,171,170,169,168,168,167,166,165,163,161,160,158,157,157,156,156,174,175,175,176,176,176,176,175,174,173,172,172,171,171,171,169,167,166,166,164,164,164,161,160,158,158,157,156,177,177,177,177,177,177,177,177,175,174,174,173,176,176,171,173,173,169,165,164,163,164,163,162,160,159,156,156,176,178,179,179,178,178,176,176,178,178,174,161,131,142,176,155,140,157,173,168,169,168,162,164,162,161,158,157,178,180,179,180,179,177,177,169,147,158,172,141,109,79,125,127,97,77,147,141,126,152,168,158,161,161,160,159,180,180,179,180,179,178,177,158,127,104,136,154,113,78,89,139,105,71,70,112,79,63,142,128,126,167,159,158,181,180,180,180,179,179,179,174,150,121,92,151,121,87,89,144,113,77,75,127,101,51,74,126,95,169,159,159,181,181,181,181,179,183,175,166,156,132,79,135,128,91,88,143,116,78,65,123,102,58,48,116,88,160,163,161,182,182,181,181,180,185,171,132,157,114,68,136,124,84,81,134,106,69,48,101,83,50,44,116,74,127,171,161,183,182,183,182,181,181,145,105,151,95,66,129,101,62,74,121,93,57,52,116,94,39,48,122,99,78,159,164,182,182,183,183,184,181,159,129,149,106,81,121,101,59,72,123,93,46,93,139,102,31,54,122,113,66,111,174,183,185,184,183,186,177,154,129,133,115,84,127,121,62,89,140,106,50,120,146,74,25,100,131,113,57,97,174,184,186,186,185,181,153,123,106,92,77,71,139,119,58,98,146,110,54,26,59,19,63,135,134,97,45,141,167,186,186,186,186,181,156,127,100,72,61,58,89,95,53,49,96,76,49,55,22,46,128,136,121,62,85,174,163,186,185,187,183,175,155,131,101,78,76,79,71,79,77,61,65,100,132,138,122,106,131,121,92,46,148,170,164,187,187,188,183,174,158,135,106,80,73,80,87,104,117,123,140,151,141,129,130,101,105,109,54,77,177,164,166,188,188,188,186,178,160,137,116,90,80,82,97,128,141,153,155,148,135,125,118,90,83,88,33,136,175,166,166,188,188,188,186,180,160,142,122,100,100,86,123,158,157,158,154,144,129,120,113,81,68,45,69,178,170,169,166,188,189,188,186,183,166,148,130,116,114,118,154,164,160,160,152,138,125,114,99,69,40,46,159,174,170,171,168,188,189,188,186,184,167,152,139,127,121,149,158,162,165,158,142,132,116,101,83,44,36,154,177,170,171,170,169,188,190,189,183,181,172,158,144,129,126,158,158,165,163,150,130,118,106,88,57,27,144,181,170,173,173,171,169,188,190,189,182,178,174,161,148,130,125,155,160,156,151,134,116,102,91,64,26,132,185,171,174,173,174,171,171,190,191,191,185,178,176,166,157,141,127,151,157,145,135,120,102,86,61,24,121,188,174,176,175,173,174,172,170,189,189,192,188,182,172,165,158,148,134,148,147,134,120,109,89,59,23,118,188,175,178,176,175,174,172,172,172,189,189,192,186,179,169,175,171,158,142,143,138,118,107,96,62,23,124,191,177,179,179,177,176,175,173,172,172,189,190,191,184,181,169,178,172,152,139,134,129,107,88,73,32,127,194,179,181,181,180,178,177,175,174,173,171,191,191,189,181,174,160,173,160,146,138,128,112,96,79,41,86,196,181,183,181,181,179,179,177,175,175,175,173
12,199,201,204,203,203,205,205,204,205,207,206,205,207,209,207,207,207,206,206,206,207,208,205,205,205,204,205,205,203,205,205,206,206,207,208,208,208,209,209,211,210,207,210,212,209,207,208,208,210,210,208,208,208,207,206,204,205,206,207,208,209,210,210,212,210,212,210,197,207,226,199,185,207,213,212,211,211,213,211,209,209,209,208,206,206,208,210,210,211,212,210,213,209,244,227,188,164,251,220,169,156,221,211,214,217,212,213,212,212,211,211,211,208,211,213,213,213,213,215,214,218,255,250,213,143,223,255,199,121,196,208,174,194,221,214,216,215,214,214,212,212,213,214,216,216,216,217,214,224,255,255,225,155,179,255,217,157,114,201,171,121,202,221,217,218,216,215,214,213,214,216,216,217,219,221,217,229,255,255,232,174,144,255,225,185,106,163,185,100,145,232,217,222,220,219,217,214,215,217,217,218,220,222,217,234,247,255,249,191,125,221,235,185,125,99,164,110,134,236,221,222,220,220,219,215,217,220,221,222,223,221,222,223,201,235,249,223,174,151,222,172,108,58,113,106,145,236,222,224,222,223,222,218,220,222,222,225,216,226,255,191,157,185,211,223,173,100,125,128,67,95,145,89,163,237,224,226,224,224,225,218,219,223,226,220,239,255,241,157,129,137,127,172,131,93,110,154,127,182,162,89,195,233,226,228,226,225,225,221,222,223,221,237,255,250,208,157,132,90,83,107,156,146,164,210,241,211,140,88,220,238,228,230,229,228,227,220,223,225,225,255,241,212,220,183,151,93,87,93,93,107,133,192,251,255,231,158,132,221,234,230,229,229,229,223,222,223,230,255,230,197,226,196,152,107,80,104,107,104,96,198,238,255,235,189,137,126,237,231,230,230,229,224,222,221,251,255,226,180,209,214,201,153,88,109,131,117,197,246,233,225,202,192,183,113,209,239,232,232,231,223,226,225,246,255,245,200,146,208,237,173,104,104,135,195,254,246,234,216,166,173,164,115,223,237,233,233,233,225,226,226,238,255,255,226,168,151,191,226,192,107,217,255,246,237,221,203,163,140,118,134,246,235,233,234,234,226,226,227,238,255,255,236,191,184,159,173,169,194,255,255,248,229,211,187,156,120,88,182,246,236,237,236,234,226,227,228,236,255,255,250,205,201,193,145,183,255,255,255,243,211,195,164,148,105,98,229,239,236,238,237,236,225,226,226,229,254,255,255,228,210,196,188,182,255,255,255,231,190,172,150,143,91,141,250,235,238,239,238,238,225,224,227,223,240,255,255,249,223,201,203,176,240,255,241,217,172,147,153,130,81,192,247,236,238,238,238,237,225,226,229,225,222,255,255,251,228,205,198,187,219,253,218,191,155,139,158,110,97,235,239,238,237,237,237,235,226,228,229,233,219,253,253,227,214,203,197,195,201,223,200,165,147,148,143,88,156,251,237,238,237,238,238,238,225,228,230,236,223,246,241,209,200,197,199,189,191,201,187,171,143,140,116,101,229,243,239,239,238,238,238,238,225,230,230,233,227,241,237,212,211,211,203,188,184,202,198,163,123,121,88,182,250,239,241,239,240,240,240,239,227,228,231,231,227,236,245,225,223,217,208,199,180,209,188,135,112,94,125,245,238,242,240,240,240,240,240,239,224,227,231,234,231,234,255,229,232,226,212,209,169,203,166,128,109,87,204,250,241,243,242,242,240,240,239,238,146,149,150,158,154,203,255,242,238,237,218,211,164,189,158,131,94,105,225,226,229,232,235,237,239,240,238,238
24,170,172,174,177,179,181,182,183,184,185,186,187,187,187,188,188,188,188,187,187,186,186,186,185,185,183,182,181,171,174,176,179,181,183,184,185,186,187,188,188,189,189,189,189,190,190,189,189,188,188,188,187,186,185,184,183,173,175,178,180,183,185,186,187,189,190,190,191,191,191,191,191,192,192,192,192,190,190,190,189,188,187,186,185,174,176,179,181,183,186,188,190,191,192,193,193,193,193,193,194,194,194,194,193,192,192,192,192,191,190,189,188,176,178,180,183,185,187,190,192,193,194,194,195,195,195,196,197,197,197,197,196,195,195,195,194,194,193,192,190,178,180,183,186,190,193,188,192,195,195,196,196,197,198,198,199,199,199,200,198,196,197,197,196,196,195,194,192,180,182,186,189,202,205,178,188,196,198,198,199,200,200,200,200,201,203,202,198,198,199,199,199,197,196,196,194,182,185,188,191,204,212,177,179,197,200,200,201,202,202,205,202,204,221,213,190,193,200,201,201,200,199,198,197,184,186,190,193,199,214,194,176,194,202,204,210,203,209,224,205,194,229,223,179,170,197,202,202,202,201,200,199,185,187,191,194,197,211,219,191,184,200,216,233,214,213,236,215,184,216,227,180,149,188,204,204,203,203,201,199,186,189,193,195,198,204,224,210,182,195,225,246,229,211,231,224,186,201,222,178,139,179,206,207,206,206,200,186,188,191,195,198,200,202,215,224,210,203,222,247,237,209,217,224,185,181,204,166,129,172,207,208,206,206,189,159,190,193,196,199,201,203,208,225,231,223,228,245,240,208,196,216,185,157,176,152,119,155,204,205,198,194,168,146,192,195,198,201,203,205,207,216,232,233,238,242,233,199,174,196,182,140,150,149,115,132,183,192,192,177,152,163,194,196,199,202,204,206,208,211,229,240,232,223,216,194,166,170,173,140,145,160,138,155,179,191,184,155,163,195,195,198,201,203,206,207,209,211,225,240,220,200,197,201,183,163,178,153,147,182,195,207,201,186,162,155,192,209,197,200,203,205,207,209,211,213,223,239,225,204,196,202,198,185,189,175,183,224,230,219,195,165,146,173,209,213,198,201,204,206,208,211,213,215,221,243,242,220,200,201,216,222,218,218,232,240,229,211,184,152,153,196,214,215,199,202,205,208,210,212,214,215,218,239,249,233,211,204,222,240,247,250,248,240,224,201,170,146,173,212,217,216,200,203,206,209,211,213,215,216,218,235,251,243,226,214,220,241,252,254,248,238,220,190,155,151,197,218,219,217,202,205,207,209,212,215,217,219,220,231,250,249,238,226,222,237,250,251,244,233,212,181,150,173,214,221,220,218,203,206,208,211,214,216,218,220,221,227,245,251,243,229,221,229,241,242,233,217,194,167,159,201,222,222,222,221,204,207,210,213,215,217,219,221,223,224,236,250,241,223,211,216,224,223,211,190,163,148,181,219,225,224,223,223,204,208,210,213,216,218,218,216,215,217,226,242,231,209,197,200,206,206,190,163,134,153,209,225,225,225,225,224,204,207,210,213,215,217,213,185,169,169,177,194,188,181,180,185,192,184,166,139,120,172,220,226,225,225,225,224,205,208,211,214,215,218,211,164,136,130,120,117,114,114,113,114,112,105,100,91,89,126,178,220,226,225,224,224,205,209,212,215,217,220,216,169,133,125,109,97,88,80,72,65,59,55,53,52,52,62,133,215,227,227,227,225,206,209,212,215,217,220,219,176,135,123,108,94,86,77,68,60,53,50,48,46,45,62,160,224,228,228,228,226
14,142,147,151,154,158,160,162,165,167,169,171,173,176,176,176,177,179,180,183,184,185,185,185,187,187,187,187,188,144,148,152,156,159,162,164,166,169,170,173,175,178,178,180,182,184,184,184,185,185,186,187,188,188,187,188,189,145,149,154,159,160,162,165,168,170,170,172,173,175,182,159,155,170,172,185,189,190,188,188,188,188,187,190,191,147,149,155,159,161,163,166,170,171,170,178,181,182,173,117,107,155,161,178,155,167,194,189,189,189,188,191,191,147,150,154,158,161,165,167,169,171,189,192,173,150,131,111,101,142,166,156,102,136,202,189,193,193,192,193,192,148,152,156,160,162,166,167,172,203,204,169,111,89,95,110,107,119,129,125,91,91,185,194,192,194,194,194,194,149,153,158,162,165,167,166,208,208,171,130,82,59,68,91,105,135,126,133,140,114,149,190,194,195,195,194,194,149,153,158,162,166,164,177,221,165,111,77,85,75,91,103,72,93,117,123,154,163,131,142,203,194,196,195,195,151,155,160,163,167,162,203,206,133,78,71,84,77,111,100,80,102,117,130,120,127,97,103,200,196,195,197,197,152,157,161,163,165,170,221,180,122,71,68,68,71,90,77,105,123,84,126,145,135,124,112,139,202,199,197,198,152,157,160,164,161,190,216,154,91,66,76,83,82,69,73,113,110,98,187,203,190,154,132,108,156,191,199,197,153,159,161,166,164,212,189,130,93,89,83,89,86,87,92,82,99,176,200,195,199,199,163,157,122,179,204,198,153,159,163,163,181,224,178,134,113,90,82,85,85,95,101,76,156,206,194,196,202,184,170,154,118,201,200,200,153,159,164,161,209,221,172,130,101,85,80,80,84,94,88,108,200,196,198,199,200,171,173,121,147,210,199,201,153,159,164,162,216,207,163,128,91,78,78,81,89,92,74,130,206,192,199,202,195,164,166,102,152,213,200,202,154,160,165,164,222,203,154,113,81,78,81,86,91,81,72,110,200,201,201,200,155,159,161,107,133,212,199,202,155,161,162,173,227,190,154,116,86,80,85,89,94,92,100,105,143,190,192,170,167,169,157,104,145,213,200,202,156,162,160,186,229,187,152,114,88,79,82,95,99,109,124,135,125,121,148,170,180,173,131,132,202,203,202,202,156,163,157,200,225,183,150,113,90,82,84,95,106,120,134,145,148,136,170,175,174,142,136,204,206,203,203,203,155,163,158,209,216,181,151,120,96,83,87,99,121,135,149,149,151,145,163,170,136,134,202,207,204,206,204,203,155,162,161,218,208,179,150,123,103,87,86,109,139,151,161,160,150,145,141,133,120,199,208,204,206,206,204,204,156,161,166,218,198,176,147,128,106,89,87,118,155,159,158,159,155,143,106,109,192,206,203,206,205,205,206,206,157,160,174,214,189,169,152,133,109,92,88,127,161,155,155,154,155,118,116,193,208,203,205,207,206,206,206,206,159,159,181,211,182,171,159,135,116,98,93,126,161,155,140,149,129,116,199,208,203,206,206,207,207,207,206,206,158,157,193,213,183,178,162,137,118,106,91,116,149,142,129,130,112,186,210,204,206,206,206,207,207,207,207,207,157,157,210,213,190,183,161,137,119,104,91,106,131,123,129,100,173,209,203,206,206,205,206,207,207,207,207,207,157,165,224,206,197,181,147,127,112,95,93,107,113,106,121,170,209,200,204,207,207,207,207,208,208,208,208,208,151,185,223,195,193,169,129,116,103,94,101,102,94,110,178,208,201,202,204,207,207,208,208,208,208,208,208,208
14,194,196,197,196,197,200,201,196,205,226,213,180,151,120,179,201,202,204,199,200,201,201,200,200,199,198,197,197,195,198,199,200,199,201,196,209,237,210,154,130,117,108,132,179,180,179,202,201,201,201,201,200,200,200,199,199,197,199,201,201,201,196,221,244,222,168,110,110,107,110,140,165,147,121,202,203,203,204,204,203,202,202,201,200,198,201,202,202,199,207,254,225,167,125,108,115,103,89,111,131,110,149,214,202,204,206,204,204,205,204,202,201,201,203,203,205,196,224,255,204,119,92,89,97,102,115,110,120,133,148,185,207,205,206,207,206,207,204,204,203,201,202,204,207,200,238,254,197,119,90,85,89,105,123,99,108,162,171,131,162,214,205,209,209,206,206,205,205,201,203,206,207,205,251,243,174,112,97,104,86,87,98,94,93,117,133,104,182,220,209,209,210,210,208,208,207,203,205,207,206,213,255,236,169,105,97,115,95,100,117,126,126,110,116,110,149,172,210,211,209,210,210,209,209,206,207,210,204,223,255,242,194,135,103,102,101,111,104,110,103,112,128,132,131,116,178,213,211,212,211,210,209,207,209,212,203,239,255,242,195,147,115,90,114,117,105,138,164,205,188,160,142,172,154,194,218,212,212,212,212,209,211,210,208,248,255,245,193,142,120,98,113,102,184,227,220,216,221,219,179,190,151,200,219,213,214,213,213,210,211,211,213,252,255,247,202,151,117,104,98,112,213,217,216,217,222,196,164,184,146,209,218,215,214,214,215,212,214,212,218,255,255,250,209,163,121,102,94,182,225,217,219,218,223,188,165,182,140,207,220,217,216,215,216,213,216,213,220,255,255,251,215,167,129,93,113,224,219,220,220,218,228,181,156,182,134,180,227,217,218,218,217,214,217,217,222,255,255,252,217,174,139,90,149,233,217,222,220,223,219,165,156,171,143,154,228,219,219,220,219,215,218,218,223,255,254,252,220,177,140,94,154,230,226,228,229,227,163,157,179,171,135,174,229,220,221,221,220,217,217,215,225,255,254,252,220,177,144,121,89,123,156,158,186,174,138,164,169,156,150,223,224,222,220,220,220,217,218,216,225,255,254,253,217,178,156,137,98,98,106,116,128,134,146,162,163,137,200,230,222,222,222,221,221,218,220,217,231,255,254,252,213,189,172,147,109,110,124,134,145,148,143,154,141,173,233,224,226,223,224,223,222,220,222,218,236,255,254,250,219,201,181,151,121,115,135,139,143,148,146,132,141,228,228,227,227,225,223,224,223,220,224,220,239,255,254,250,231,210,182,150,131,118,134,141,142,146,144,120,197,234,228,228,227,226,226,225,225,222,223,221,244,255,255,250,238,215,182,149,132,121,130,142,137,144,126,182,237,227,228,229,228,228,227,228,227,221,223,219,246,254,253,250,238,211,168,131,122,117,127,136,139,129,148,237,229,231,229,229,229,228,227,228,227,228,231,233,255,255,255,252,232,193,135,111,113,112,123,130,136,124,212,235,229,231,230,230,230,230,229,228,228,200,184,174,184,166,159,142,125,109,87,79,90,107,121,124,118,187,240,230,233,232,232,233,232,230,230,229,230,119,109,97,89,82,77,69,65,66,61,51,51,63,90,111,181,241,230,232,233,232,232,233,233,232,232,230,231,114,109,99,94,90,84,73,70,69,60,51,49,48,42,73,239,235,235,235,235,235,234,234,234,232,232,232,232,113,106,98,91,84,80,72,68,65,57,49,46,50,43,77,241,236,237,236,236,236,234,234,234,233,233,234,233
13,132,134,140,145,149,151,154,157,159,161,163,164,166,167,167,168,168,168,168,169,168,168,168,167,167,166,164,165,133,135,140,145,150,152,155,158,160,161,163,165,166,168,168,169,169,168,168,170,170,170,169,168,168,167,165,165,134,135,141,146,151,154,156,159,161,163,165,166,168,169,170,169,170,170,171,172,172,171,170,170,170,168,166,167,134,137,143,147,151,154,157,161,162,164,167,166,168,167,169,173,171,172,172,173,172,172,171,170,170,169,169,168,134,137,143,149,153,155,159,161,163,165,166,168,200,181,135,158,176,171,174,176,173,173,172,172,171,170,169,169,135,137,143,149,154,157,159,161,164,164,165,177,229,208,152,130,180,176,153,155,176,173,174,174,174,171,170,169,136,139,143,149,154,158,160,162,161,174,170,165,223,212,174,128,145,162,135,95,160,179,173,175,174,172,172,171,136,139,144,148,154,159,160,158,179,212,170,141,179,185,159,100,128,125,104,82,128,183,173,175,174,174,174,173,136,139,145,150,155,155,174,160,184,219,182,137,156,174,144,98,138,110,85,79,123,184,174,176,176,175,175,173,137,141,147,152,153,166,216,166,133,201,200,152,123,180,180,166,154,128,82,65,128,185,176,176,175,175,174,174,138,142,148,154,148,193,219,180,135,159,206,163,100,109,175,180,164,166,136,69,142,186,177,177,176,176,175,174,139,141,147,153,154,196,202,193,150,120,194,167,121,49,98,134,161,178,181,121,147,187,177,179,179,177,176,175,137,140,145,149,157,200,186,191,159,107,161,184,132,62,58,79,149,200,201,176,118,168,181,177,176,175,176,175,136,140,146,146,170,218,185,183,172,115,110,188,136,67,63,143,179,179,182,175,121,125,187,177,178,176,175,175,138,141,148,145,203,213,175,160,171,132,77,163,159,113,160,199,185,179,158,140,141,103,171,181,179,178,177,176,138,142,149,145,208,215,185,147,144,167,104,133,197,206,201,183,175,170,145,123,127,105,166,182,178,179,178,177,137,141,148,146,212,220,195,182,161,165,182,198,212,211,188,174,173,149,131,114,100,132,184,179,179,179,178,176,134,140,146,147,214,223,204,194,181,166,189,209,209,204,181,161,153,137,126,98,105,174,181,178,177,178,177,176,138,143,149,147,208,223,209,193,180,168,183,205,205,190,166,145,135,134,112,97,163,188,183,183,182,180,180,180,122,123,129,118,184,223,210,199,182,173,185,203,189,162,150,140,139,123,96,102,133,130,130,128,127,127,126,126,95,96,100,86,138,222,209,200,186,180,183,197,179,150,136,142,133,107,96,93,89,87,87,86,86,85,84,84,103,105,105,100,114,212,203,199,187,175,176,195,181,142,125,128,112,97,97,98,99,96,95,95,94,93,93,92,102,103,105,105,102,197,197,199,193,176,171,191,176,128,115,112,99,96,98,96,96,98,97,95,94,94,94,92,105,105,105,107,96,182,199,203,200,183,166,185,174,126,112,103,96,99,99,97,96,96,97,96,95,95,94,93,106,108,107,109,94,171,206,211,208,192,163,177,177,131,109,96,96,101,98,97,96,96,96,95,94,95,93,93,105,106,107,110,97,148,215,213,208,191,163,169,179,133,105,92,96,101,100,98,97,97,96,94,96,95,94,87,105,106,106,106,103,120,208,204,187,175,161,163,171,133,104,90,98,101,98,98,97,100,96,94,96,96,87,150,105,106,107,107,107,105,199,200,170,169,172,156,162,137,105,89,96,101,99,98,97,101,96,94,96,88,127,207
18,85,91,95,101,109,116,122,129,133,134,136,138,143,145,149,151,156,156,158,159,160,161,163,164,165,166,168,171,88,92,95,102,109,117,123,129,133,135,137,139,144,142,145,151,154,154,156,160,162,163,164,165,165,167,169,171,89,93,96,103,110,118,124,129,134,135,134,151,159,124,113,141,164,145,123,151,163,164,165,166,167,169,170,172,88,93,98,105,113,118,124,135,164,130,117,173,156,136,125,161,177,138,107,94,149,166,167,168,170,172,172,174,89,94,98,106,113,120,122,176,178,138,119,182,150,150,153,163,150,130,120,95,99,165,167,168,170,172,174,175,90,95,97,106,128,139,121,184,176,146,137,160,146,144,144,144,121,134,130,115,85,144,168,171,172,174,175,176,91,95,100,107,189,157,128,123,185,153,144,109,135,120,119,111,112,144,139,130,106,98,167,171,173,174,176,178,92,95,98,137,203,177,149,119,163,168,138,97,138,125,92,65,130,151,153,147,125,92,119,172,174,176,178,179,92,96,97,168,179,186,171,132,113,168,137,104,107,150,114,62,102,147,156,163,136,107,87,141,176,177,177,179,92,96,96,172,139,178,163,126,87,128,127,98,74,120,101,66,88,155,178,169,141,113,97,93,175,176,178,179,92,97,101,183,136,141,127,97,74,83,94,81,51,76,71,128,175,175,166,160,137,116,98,89,173,179,180,181,92,96,108,195,164,151,123,81,62,62,76,68,35,55,138,191,185,171,156,137,122,107,95,105,178,180,181,182,93,96,125,193,161,139,126,88,57,57,80,65,40,123,198,201,185,165,145,119,103,95,88,137,179,182,182,183,93,95,138,211,180,156,134,101,71,69,76,74,112,192,204,200,180,154,134,112,95,87,87,168,180,182,183,184,93,96,133,221,194,177,159,133,116,116,111,128,182,204,204,190,166,142,121,104,89,83,110,179,181,183,184,185,94,98,128,224,202,183,161,142,135,137,137,171,200,202,195,174,153,131,114,98,87,81,145,179,182,184,185,186,95,99,123,222,205,184,165,152,150,149,158,185,197,194,176,158,141,122,106,96,87,87,171,180,183,185,185,186,94,99,113,215,206,190,174,165,161,161,170,183,186,180,156,142,127,113,99,92,82,115,177,181,183,185,186,186,94,99,105,197,207,199,188,176,165,161,166,172,166,164,144,129,116,105,95,90,81,157,180,181,182,185,186,187,94,99,105,167,209,207,202,187,166,154,144,151,148,146,136,117,105,98,90,81,110,176,181,182,183,186,187,188,95,100,108,131,206,202,199,188,165,145,134,134,138,140,130,112,100,94,88,74,149,179,181,182,184,185,187,188,95,101,108,115,180,191,179,171,158,139,130,130,131,136,133,115,101,94,81,90,172,179,182,184,186,186,188,189,95,100,109,115,140,188,170,156,144,129,130,132,120,130,129,112,97,90,74,118,177,180,182,184,186,187,188,189,94,99,110,119,124,174,154,144,142,134,146,142,119,123,127,112,96,88,71,134,178,181,183,185,186,188,188,189,93,100,111,118,122,156,158,153,154,144,143,143,121,113,121,111,97,86,67,122,181,181,183,185,186,188,188,189,90,100,109,117,123,142,176,167,161,145,137,139,123,107,113,108,96,88,71,99,178,180,182,184,185,187,188,188,91,99,108,117,125,132,191,180,167,148,134,136,126,107,102,104,97,88,76,76,174,179,182,184,185,186,188,188,91,100,108,117,125,130,191,187,168,147,131,132,129,104,99,104,95,86,78,70,165,179,183,184,185,187,187,188
17,156,159,161,165,166,167,168,170,172,174,175,176,177,180,179,181,182,181,182,182,183,184,182,181,181,181,182,180,159,161,164,167,169,171,172,174,174,174,175,177,179,179,182,181,182,182,183,184,184,185,183,182,182,182,181,180,162,166,167,170,172,173,176,177,177,177,179,177,198,159,159,189,184,184,184,185,185,186,185,184,184,184,183,182,166,169,171,175,177,177,178,179,181,182,180,190,191,126,129,194,185,188,188,188,187,187,188,186,185,185,184,184,172,174,177,179,181,181,182,183,184,186,184,194,206,122,126,199,187,191,190,190,191,190,191,190,189,189,189,187,175,179,181,183,186,186,187,188,189,190,187,201,223,154,115,193,192,193,194,193,194,193,194,193,192,190,191,191,180,183,186,188,191,191,191,192,193,195,191,210,227,173,99,168,203,196,197,197,197,197,198,198,197,193,192,192,184,188,190,192,195,195,196,197,199,200,195,218,219,188,121,141,209,198,201,200,201,201,202,201,199,197,196,196,189,191,194,198,199,199,200,202,203,204,197,230,198,207,144,118,206,205,205,205,205,205,205,204,203,201,200,200,193,196,199,202,203,203,205,206,206,207,207,234,178,219,158,110,199,212,208,210,210,209,208,208,206,205,204,203,196,199,202,206,207,208,209,209,209,207,203,238,190,233,192,118,185,219,212,213,213,213,212,211,210,209,207,206,199,202,205,209,209,210,212,212,215,219,188,160,163,224,206,129,168,224,214,216,216,216,215,213,212,212,211,210,203,205,209,211,212,212,214,213,228,240,205,150,106,178,203,134,152,227,215,220,220,220,218,216,215,214,214,213,205,208,211,213,214,215,217,218,223,195,193,192,164,144,155,130,137,229,219,221,222,222,221,221,218,218,215,215,207,211,213,216,218,218,219,222,227,169,176,207,220,187,113,103,125,227,223,225,225,225,225,224,222,220,218,219,210,214,216,220,220,220,219,225,249,232,168,179,205,169,103,91,106,215,229,227,227,227,226,225,225,223,221,221,212,216,219,222,222,222,228,216,172,248,190,118,186,176,114,92,87,192,237,228,229,230,229,228,227,227,225,223,213,218,222,222,224,224,237,201,130,168,199,85,138,211,132,92,77,179,242,230,232,231,231,231,230,229,228,227,217,221,223,225,226,229,241,215,161,118,182,125,129,233,154,105,74,174,246,230,234,234,233,231,230,230,229,228,219,222,226,228,228,233,230,169,128,98,159,154,160,242,177,127,76,177,248,233,235,236,235,234,232,232,231,231,221,223,227,230,229,236,222,185,143,136,133,174,215,225,182,142,84,189,247,234,237,237,236,236,236,236,233,232,223,226,229,232,230,242,237,178,162,155,160,254,234,193,161,135,89,214,245,237,239,238,237,236,236,236,236,235,224,227,230,233,234,255,221,193,183,139,195,252,199,179,153,115,100,233,243,241,241,241,240,239,237,237,236,235,227,229,231,233,237,255,235,217,158,154,210,231,183,177,152,101,108,243,243,244,244,242,242,242,240,239,237,236,227,230,233,234,238,253,252,188,183,152,240,231,182,172,139,94,123,251,244,245,245,244,243,243,242,242,239,238,228,231,234,237,237,238,237,197,188,167,255,225,178,156,125,87,141,255,244,246,246,245,245,244,242,242,241,239,228,232,234,237,236,229,226,211,177,174,251,208,159,131,111,80,175,255,245,249,247,246,245,245,244,243,243,243,229,234,236,237,241,227,206,210,178,177,232,190,145,115,99,92,224,253,247,249,248,248,248,247,245,245,244,244
12,149,152,156,159,161,164,166,168,171,173,175,178,182,184,182,181,184,186,187,188,187,188,186,187,187,189,190,189,151,154,158,161,163,166,168,170,172,175,178,181,183,186,188,189,185,186,181,179,191,189,189,190,189,191,190,190,153,157,160,162,165,167,170,172,174,176,181,182,183,168,145,169,193,192,167,125,140,200,194,195,196,191,193,190,154,158,160,163,166,169,171,173,177,179,179,187,204,173,146,118,197,203,173,143,89,185,171,162,175,198,193,195,156,159,162,166,166,170,172,175,178,181,179,198,222,193,175,114,163,213,166,156,109,102,146,141,106,168,202,193,157,160,164,166,168,171,174,178,180,182,181,203,225,205,173,122,160,220,168,158,104,79,163,144,105,90,203,195,158,161,165,168,170,173,176,179,180,183,184,203,225,219,182,141,158,226,176,154,87,97,177,139,94,65,183,202,159,163,166,169,172,175,177,180,184,185,185,189,179,214,196,150,144,216,168,134,69,111,180,134,90,62,170,208,162,165,167,170,173,176,179,181,183,184,199,168,113,145,191,130,126,190,142,123,74,100,167,132,94,60,166,211,161,165,169,172,174,177,180,183,182,206,205,146,120,93,155,117,108,173,135,124,77,96,156,131,98,57,166,213,164,166,169,173,174,178,182,179,201,204,189,158,137,92,111,118,86,161,134,106,74,96,160,136,99,58,182,207,164,168,170,173,175,179,182,184,202,165,185,176,138,102,73,114,103,141,160,119,83,124,203,162,106,71,205,202,164,169,172,174,177,180,182,191,204,161,166,169,132,108,60,112,124,136,184,137,87,144,209,170,85,63,197,207,165,170,173,174,178,182,182,195,198,170,140,158,139,106,54,73,110,79,134,131,61,117,158,98,80,78,114,213,167,171,172,175,179,183,182,199,198,170,133,162,134,93,70,32,44,21,106,165,149,170,156,125,110,97,83,198,168,171,173,177,180,183,182,202,202,170,138,146,127,88,78,38,45,83,182,199,194,180,164,133,108,89,95,204,169,172,175,178,181,183,184,203,201,169,136,123,126,98,90,47,69,151,200,197,192,170,153,124,101,79,109,216,170,172,176,180,182,185,186,204,201,178,156,125,108,116,92,68,123,197,201,209,188,161,142,119,97,74,125,221,170,173,175,180,183,185,186,204,199,184,168,153,126,109,112,134,169,212,209,214,178,151,134,109,92,76,172,217,171,174,177,181,184,186,186,202,204,190,173,164,157,136,140,156,169,213,211,203,164,139,126,105,81,105,213,209,171,174,177,180,182,186,188,197,202,194,179,171,169,154,139,147,165,217,208,184,156,131,116,99,73,143,219,207,170,173,176,178,182,187,189,193,195,192,184,176,170,158,143,136,172,216,200,169,149,124,104,94,72,177,218,209,170,172,175,179,183,187,189,191,187,190,186,177,172,159,141,129,170,200,186,151,133,114,96,84,88,206,212,210,171,173,177,180,184,187,189,190,191,192,189,179,172,158,144,124,164,183,165,135,120,101,92,72,138,218,208,211,171,174,177,181,185,187,189,191,193,196,185,173,167,150,134,118,157,163,138,125,106,91,85,85,197,213,210,211,171,174,177,180,184,187,189,191,190,194,174,156,149,132,112,119,149,148,124,116,97,91,78,148,218,209,209,211,171,174,178,180,184,188,189,189,188,198,168,150,140,115,113,121,145,142,123,110,97,84,96,205,211,210,210,211,171,174,178,182,185,187,192,184,195,202,169,161,143,124,127,131,150,137,121,99,89,74,150,215,210,212,212,212
0,240,240,241,239,241,242,240,242,242,242,243,245,242,242,242,240,242,243,242,244,243,242,242,244,241,240,240,241,241,240,241,240,243,245,245,247,245,244,240,243,242,243,243,242,243,241,244,246,242,244,244,244,245,242,241,241,243,242,243,244,245,247,247,244,246,248,244,245,248,247,246,247,247,244,244,246,246,244,245,244,246,241,241,241,245,245,245,245,247,248,245,243,238,214,234,249,236,244,249,242,240,250,253,249,251,247,243,245,247,244,242,241,246,247,247,247,248,248,244,253,248,170,115,184,205,178,195,229,213,180,218,239,230,245,251,247,245,247,245,244,245,248,247,249,248,248,250,245,247,174,63,111,218,152,89,179,212,123,88,170,155,135,179,244,248,243,247,246,247,248,248,248,247,245,243,203,227,190,111,90,192,138,72,142,180,109,62,147,149,84,73,154,247,247,246,247,249,250,249,250,248,240,231,190,176,216,163,70,138,141,59,131,165,92,63,163,146,82,82,131,163,255,246,247,248,250,250,251,250,242,230,200,149,160,156,60,119,137,43,114,186,109,56,170,170,89,91,176,112,189,255,247,249,251,251,252,252,242,227,198,151,117,107,69,124,117,27,126,185,90,68,192,184,152,133,145,126,94,250,251,251,251,251,252,251,241,231,219,187,128,98,88,105,88,47,109,147,104,179,202,182,168,135,105,91,82,241,253,251,252,254,254,252,244,239,227,211,176,112,88,80,94,115,113,150,204,219,205,190,155,130,113,79,101,255,252,254,254,255,255,254,246,245,232,222,209,161,95,90,103,115,150,212,224,222,213,193,150,119,107,69,132,255,250,254,254,255,255,254,241,253,242,234,228,197,140,130,119,126,187,221,227,237,221,186,145,114,102,62,189,255,250,254,254,255,255,255,227,250,253,244,239,216,182,169,152,139,189,207,229,242,222,178,138,113,88,93,246,255,252,255,255,255,254,255,229,233,255,255,249,226,205,193,178,160,175,214,237,232,213,165,124,118,76,164,255,253,255,254,255,255,255,255,241,214,255,255,255,237,220,205,194,181,171,196,229,225,200,154,116,112,72,225,255,254,255,255,255,255,255,255,255,201,236,255,255,247,229,217,206,186,171,178,206,206,175,137,114,89,101,255,255,255,255,255,255,255,255,255,255,219,207,255,255,249,221,216,202,184,174,173,189,189,147,119,108,62,172,255,252,255,255,255,255,255,255,255,255,254,195,251,255,235,208,216,196,187,176,156,163,172,134,114,81,103,255,255,255,255,255,255,255,255,255,255,255,255,215,254,255,238,222,231,211,191,172,143,144,151,131,100,73,218,255,255,255,255,255,255,255,255,255,255,255,255,223,255,255,251,230,244,218,189,172,143,133,139,131,74,153,255,255,255,255,255,255,255,255,255,255,255,255,255,213,244,255,255,236,240,214,186,167,146,130,133,126,66,213,255,255,255,255,255,255,255,255,255,255,255,255,255,212,240,255,255,238,227,209,183,164,150,129,124,112,79,241,255,255,255,255,255,255,255,255,255,255,255,255,255,230,248,255,255,241,224,207,187,164,150,132,115,100,94,255,255,255,255,255,255,255,255,255,255,255,255,255,248,238,255,246,250,236,220,205,187,163,147,130,111,94,112,255,255,255,255,255,255,255,255,255,255,255,255,255,244,236,248,245,249,225,209,200,185,163,142,121,108,84,142,255,253,255,255,255,255,255,255,255,255,255,255,255,242,229,244,249,247,224,199,189,180,161,135,108,101,73,181,255,255,255,255,255,255,255
13,198,198,199,199,199,199,200,200,199,199,200,201,201,201,201,201,202,202,202,201,200,200,200,200,199,198,197,197,198,199,199,199,200,200,200,200,200,201,202,202,202,202,198,194,196,200,200,201,200,201,201,201,200,199,198,198,199,200,200,200,201,201,200,200,201,201,202,206,214,214,198,172,162,173,180,190,200,202,203,202,201,201,199,199,199,200,201,200,201,201,201,201,201,201,203,213,223,225,209,170,133,118,132,148,189,203,203,202,202,201,200,200,200,200,201,201,201,201,202,202,200,197,198,197,200,214,213,179,132,99,110,117,167,202,203,203,202,202,202,202,200,200,201,202,202,202,202,205,200,181,185,186,181,194,206,187,144,103,117,128,158,201,204,204,203,203,203,203,200,201,202,202,203,203,204,216,209,175,169,178,186,196,196,186,152,104,114,129,157,202,206,205,205,204,203,203,201,201,202,203,203,203,201,215,213,188,164,145,158,183,185,164,130,95,92,129,181,205,206,205,205,205,204,204,200,201,202,202,205,205,178,167,189,202,180,131,100,136,168,159,141,122,106,126,187,207,207,206,205,205,205,204,200,201,201,203,213,206,159,126,144,199,195,147,87,79,113,139,167,173,151,125,154,199,207,206,206,205,205,204,200,200,204,213,215,196,155,124,113,177,201,163,113,70,69,100,173,202,188,151,128,168,203,206,205,205,204,203,201,202,210,213,195,184,162,138,104,143,197,179,144,91,66,82,154,208,204,170,133,132,186,205,205,205,204,204,202,205,212,197,172,176,172,150,110,104,170,193,170,121,78,100,165,206,204,175,144,122,165,205,206,205,205,205,202,208,216,200,172,169,176,159,135,98,115,179,186,158,120,136,197,205,191,165,141,119,161,205,207,206,206,206,202,208,215,203,181,163,167,171,163,125,88,125,183,187,169,164,201,197,175,145,121,112,169,207,208,207,206,206,201,206,217,214,196,174,158,166,172,154,124,103,165,193,189,193,199,185,163,133,106,113,182,208,208,207,207,206,182,188,214,223,210,189,172,165,167,163,154,133,184,211,210,207,195,177,154,126,102,126,193,208,208,207,206,206,126,136,196,224,218,200,185,178,176,164,148,157,203,223,221,206,189,170,146,117,101,128,174,182,184,184,185,186,101,106,170,221,220,209,195,186,186,179,160,159,196,221,219,202,179,158,136,110,98,106,117,120,121,124,129,133,102,102,142,207,217,213,207,197,190,184,170,153,174,209,210,195,171,146,123,104,96,101,102,103,108,121,140,154,103,103,119,181,208,210,211,207,196,186,172,156,156,189,196,182,160,136,115,100,97,114,131,147,165,181,193,194,103,104,106,144,195,207,211,211,199,185,170,156,148,165,178,167,146,127,109,96,113,162,190,199,200,199,201,199,103,103,103,113,165,203,208,204,191,178,165,152,142,144,158,158,143,122,103,97,153,210,213,203,192,181,181,186,103,103,103,102,128,190,204,191,177,168,159,147,132,129,146,158,144,115,96,110,189,219,211,195,172,154,153,162,103,103,102,102,110,169,202,184,168,163,156,144,127,120,146,162,136,105,92,141,214,218,213,193,156,131,139,151,103,103,102,103,104,150,200,189,177,172,160,143,128,120,147,159,124,97,99,178,219,215,219,203,158,120,127,145,103,104,102,103,102,139,200,199,189,184,167,149,134,121,144,151,116,93,115,199,212,209,221,216,172,122,115,134,104,104,102,102,102,135,197,204,198,189,171,156,141,119,140,146,113,91,130,207,209,205,218,223,185,128,107,120
20,165,167,169,172,174,176,179,180,182,186,184,185,186,187,190,190,177,192,197,196,195,196,197,196,197,197,198,198,166,169,171,174,175,178,181,182,183,186,187,187,189,188,193,201,148,169,178,189,198,197,198,197,198,198,198,198,167,170,174,176,177,179,181,183,184,186,188,190,191,188,198,206,153,182,160,154,205,197,199,199,199,198,198,198,168,170,174,176,177,180,183,184,185,188,189,189,191,191,200,201,158,201,176,143,202,199,200,200,200,200,200,201,170,171,174,178,179,181,184,185,188,189,190,190,193,191,208,212,168,201,178,143,200,200,201,201,202,201,200,201,169,173,176,178,180,182,184,186,188,189,191,192,194,191,217,211,174,212,184,145,200,203,201,202,201,202,201,202,170,174,177,179,181,183,185,188,189,190,191,193,197,192,216,194,177,214,183,143,199,205,203,203,203,203,203,204,171,175,177,180,181,183,186,189,192,191,197,172,170,201,214,179,176,212,176,140,200,207,205,205,206,205,205,205,171,175,178,180,182,185,188,190,191,196,199,177,131,170,216,174,181,214,169,141,203,207,206,205,206,205,205,206,172,176,179,180,183,187,187,188,189,188,201,179,161,143,162,161,173,202,166,147,206,205,207,206,206,206,206,207,173,176,179,181,184,187,184,208,204,153,180,199,195,178,138,126,145,182,160,149,210,205,208,208,208,207,207,206,173,177,180,182,184,187,191,208,203,172,167,191,204,190,156,115,133,162,148,149,212,206,208,208,208,208,208,208,175,178,182,183,186,187,194,199,179,191,146,114,176,207,181,137,131,145,133,149,215,208,209,209,209,209,210,209,174,178,181,183,186,188,195,204,153,149,136,107,137,215,203,162,122,134,129,146,215,208,210,210,211,210,209,210,175,178,182,184,186,187,195,203,182,169,148,131,139,197,222,185,136,125,124,145,215,209,211,211,212,211,210,210,175,179,183,183,187,187,199,221,191,165,148,142,156,182,232,196,159,126,115,140,216,209,212,212,212,212,211,211,176,180,182,184,188,188,205,215,176,158,153,159,166,205,226,196,170,130,110,140,217,210,212,212,212,212,211,211,176,180,184,185,188,186,208,215,185,167,168,162,184,239,216,186,170,132,106,145,218,210,212,212,212,212,212,212,176,181,185,186,188,187,210,220,189,173,171,171,208,242,216,185,166,139,107,156,219,211,214,214,214,213,212,212,177,182,185,187,189,187,208,224,198,176,171,188,218,227,211,188,165,139,106,167,220,211,214,214,214,213,212,212,177,181,183,185,190,187,208,227,197,188,179,191,226,217,203,187,159,140,108,185,218,211,214,214,213,213,213,213,178,181,185,187,189,189,206,227,202,201,189,190,227,215,200,188,156,134,111,197,217,212,214,214,214,214,213,213,178,182,186,188,189,191,198,224,212,209,205,189,216,207,196,186,159,129,112,196,218,213,214,214,214,214,214,213,178,182,185,186,190,195,193,214,217,212,207,196,201,205,190,185,156,130,114,201,217,214,214,214,214,214,214,213,179,182,185,187,190,194,192,206,220,209,196,191,196,199,184,193,163,128,126,211,215,215,215,215,214,214,214,214,178,183,185,186,190,194,192,206,216,197,189,180,190,198,182,194,164,124,144,219,213,215,215,216,215,215,215,214,178,182,183,187,189,194,195,208,213,193,189,181,189,202,178,191,157,118,171,221,212,215,216,216,215,215,215,215,178,182,185,188,189,194,193,210,223,207,197,187,192,204,170,183,148,119,198,218,214,216,216,216,216,215,215,215
7,123,135,151,180,194,204,210,213,215,220,223,224,226,226,228,229,230,229,228,226,224,224,223,221,219,217,214,212,123,136,154,182,196,205,212,215,218,222,224,227,229,230,231,232,232,232,231,229,228,228,226,223,222,220,217,215,125,137,155,183,197,206,212,216,220,223,226,229,231,232,233,234,235,234,233,232,231,230,228,226,224,223,220,218,127,138,157,185,197,208,214,218,221,225,228,231,232,234,235,237,237,237,236,234,233,231,229,228,227,226,223,220,128,140,159,186,198,209,215,220,222,227,230,232,234,234,235,238,238,238,237,234,234,233,232,230,229,227,225,222,130,140,160,187,199,209,217,221,224,228,231,233,235,236,237,239,241,242,242,242,241,239,238,233,231,229,226,223,130,141,160,189,200,211,217,220,223,228,233,236,239,242,241,240,237,235,228,215,215,216,228,237,233,231,229,227,132,142,161,189,201,211,219,226,227,227,227,226,215,207,197,172,174,178,169,158,207,212,182,243,234,232,232,229,132,143,164,190,202,211,218,203,191,185,189,187,170,162,156,137,152,141,143,147,160,154,171,230,238,235,231,229,134,143,166,190,199,220,207,162,164,173,172,169,162,151,151,150,144,153,152,147,139,132,149,173,191,239,232,230,134,145,164,192,217,220,191,149,136,137,144,156,168,174,176,156,132,163,159,140,134,122,134,154,147,236,235,231,136,140,175,216,215,200,190,175,167,171,184,185,179,172,162,133,120,128,120,111,114,117,124,145,198,242,234,233,127,165,219,215,204,206,189,167,161,167,174,162,155,147,123,113,133,160,184,204,222,231,239,245,247,240,237,234,167,228,220,211,210,194,169,124,125,139,127,110,103,115,189,229,243,255,255,255,254,251,249,245,243,242,238,235,229,226,215,214,189,171,151,112,112,102,82,75,82,87,95,181,255,247,248,248,249,248,248,247,245,242,239,236,218,217,218,198,177,166,156,145,118,97,100,103,100,95,73,116,255,249,252,251,251,250,250,248,246,242,241,238,216,219,201,174,165,160,173,179,131,99,104,103,100,97,89,95,241,255,251,252,252,251,250,249,246,242,240,238,215,196,168,156,155,152,156,146,105,88,77,82,92,97,82,82,228,255,252,253,251,251,250,249,246,244,241,239,188,167,160,158,155,139,128,115,100,84,83,106,113,97,96,226,255,253,254,254,251,250,249,249,247,244,241,239,164,163,156,148,135,120,112,124,124,105,101,96,92,96,192,255,249,251,251,250,249,249,248,246,244,242,240,237,163,152,135,129,124,122,129,143,125,91,102,145,188,233,255,247,251,252,250,249,249,249,247,247,243,241,238,234,154,145,138,138,133,123,117,108,93,134,218,250,253,251,248,249,249,250,249,248,249,248,247,247,243,241,236,231,116,115,121,117,109,105,107,140,192,235,242,238,241,246,247,248,249,249,250,250,250,249,247,246,243,241,239,239,85,79,46,83,187,187,213,233,239,233,237,243,245,246,248,250,250,248,248,247,245,243,241,237,237,238,233,180,86,78,14,86,204,181,181,174,172,173,173,171,169,169,170,170,165,161,161,158,155,151,146,149,132,106,87,47,75,44,14,91,140,130,132,133,134,136,134,134,136,134,135,132,132,133,130,129,128,127,128,109,59,33,29,24,15,9,24,112,150,144,143,143,143,143,142,142,142,142,142,141,141,142,141,137,136,126,83,44,33,32,27,17,27,49,58,97,146,141,142,142,142,143,143,142,142,141,141,141,137,135,135,135,107,64,27,27,25,22,21,17
8,149,151,152,152,153,154,154,155,155,153,152,153,153,150,149,150,149,147,146,145,145,144,142,140,140,137,135,135,151,152,153,154,154,154,156,157,156,157,156,154,154,153,151,151,150,149,148,146,145,145,144,143,141,138,137,136,153,153,155,156,156,161,160,159,158,158,158,156,156,156,154,153,152,151,151,148,146,146,145,144,143,141,137,136,154,154,156,162,146,111,158,161,159,160,160,158,158,157,156,155,153,153,152,151,149,148,147,146,144,141,139,137,155,157,156,163,129,64,138,166,160,161,160,160,160,159,159,157,155,154,154,153,151,151,149,148,146,144,142,139,157,159,160,160,105,59,139,170,162,162,162,161,160,160,159,159,160,159,156,155,156,151,150,148,146,146,145,142,159,159,163,159,94,59,156,167,165,165,166,164,162,161,160,159,153,142,157,155,142,154,152,150,148,147,145,144,160,161,163,153,80,62,168,166,167,169,158,166,167,165,167,166,125,85,81,140,99,140,156,150,149,147,146,144,161,162,163,159,87,59,162,170,169,140,98,100,162,137,112,125,128,102,55,92,90,113,164,152,151,149,148,146,162,163,167,162,98,54,156,174,154,128,115,79,102,118,82,60,118,118,78,49,89,83,162,154,154,152,149,147,162,165,167,157,95,46,130,180,146,143,131,100,77,119,91,67,117,115,80,39,72,58,114,164,152,152,151,149,163,166,168,162,128,81,97,182,139,143,144,109,69,109,111,73,104,97,60,33,57,80,57,140,159,152,151,150,164,166,167,167,153,106,77,157,130,126,149,114,67,91,121,71,76,99,75,32,49,85,46,117,164,152,152,151,164,167,168,170,157,106,103,121,115,101,143,111,74,65,111,75,60,123,102,45,63,89,48,142,161,153,153,152,166,167,169,171,168,146,140,111,115,90,119,115,68,48,101,87,43,112,99,39,83,82,61,161,158,156,154,152,167,167,170,171,173,162,137,105,85,84,106,112,73,47,65,64,16,29,43,55,99,67,83,170,158,157,154,153,166,168,171,171,175,163,117,91,70,60,76,119,108,67,35,30,67,75,72,116,110,52,109,171,158,158,155,153,166,168,172,172,174,160,133,112,82,71,68,119,122,80,53,79,126,130,115,107,99,40,132,170,159,159,156,155,167,169,172,174,174,172,150,119,82,68,65,105,107,76,61,116,134,129,119,79,67,45,158,163,160,159,158,157,168,171,174,175,174,169,154,122,92,78,68,90,126,123,126,148,136,119,106,72,35,100,175,160,160,159,158,157,170,173,175,174,174,166,157,131,106,85,74,92,153,160,163,153,128,108,96,55,45,164,167,164,161,160,159,158,171,173,175,175,175,164,151,132,107,83,81,102,159,152,147,138,114,96,84,34,110,178,164,165,163,160,159,159,172,172,174,175,176,160,145,137,112,87,88,112,152,144,141,126,102,89,62,48,168,169,167,165,164,161,160,158,171,174,176,176,179,166,148,143,113,96,91,116,143,143,137,114,93,80,36,111,182,165,167,166,165,164,161,158,171,173,175,176,178,176,156,149,124,105,86,112,136,132,124,102,81,56,47,172,173,170,168,167,166,164,162,159,172,174,175,176,177,178,167,151,125,106,90,103,125,116,105,84,65,26,126,183,170,171,168,168,166,164,161,160,172,174,175,177,179,179,169,147,125,104,93,98,114,106,88,73,32,90,186,173,174,171,169,168,166,164,161,160,172,174,176,177,179,179,170,142,123,107,103,98,105,102,82,56,50,174,178,175,174,172,170,167,166,165,163,161
16,193,194,196,196,196,196,197,198,198,198,197,198,199,199,199,198,199,199,200,201,199,199,200,200,200,200,200,197,194,195,196,197,198,197,198,200,199,199,199,200,200,199,200,201,201,201,201,202,201,201,201,201,200,201,200,199,195,196,197,199,199,198,198,199,200,200,200,200,200,199,181,175,172,184,202,204,203,202,201,201,200,201,201,200,195,196,197,199,199,199,199,200,200,197,191,188,202,209,175,154,143,125,145,187,202,203,202,201,202,202,201,201,195,197,198,199,199,201,201,200,203,196,178,183,213,213,189,170,152,121,93,102,150,193,204,202,202,202,201,201,196,197,199,200,201,200,195,188,216,210,185,196,217,206,193,180,155,111,101,87,86,116,181,205,202,203,203,202,199,199,199,200,200,209,196,191,210,207,192,200,216,194,182,171,146,99,102,91,86,84,106,179,207,204,204,203,199,200,200,201,200,218,208,192,204,204,200,195,206,181,175,161,133,94,92,86,86,87,81,101,187,206,205,204,198,198,200,200,200,206,204,191,201,208,206,198,204,184,172,153,118,89,82,80,83,87,84,76,125,206,207,206,197,198,200,202,206,200,204,203,198,207,208,202,213,196,174,143,107,83,72,76,84,86,84,80,85,187,208,206,197,198,198,207,206,198,205,213,203,203,208,204,213,199,171,132,98,74,60,75,86,90,91,81,79,173,207,204,198,199,199,202,205,204,201,211,204,201,212,210,209,197,162,118,87,53,53,74,88,95,98,86,84,186,206,204,200,200,200,200,205,213,208,211,211,182,213,216,208,198,158,104,63,25,48,68,81,100,96,87,92,193,206,206,202,201,201,200,205,213,216,193,193,187,204,215,210,199,151,93,41,16,38,57,77,108,92,83,102,198,207,207,200,200,201,201,202,203,216,184,166,195,201,210,214,197,144,86,41,17,26,48,87,116,90,81,119,204,208,207,199,200,202,202,201,195,197,213,198,186,198,211,218,192,140,81,52,38,29,55,112,123,94,81,124,205,207,208,198,199,201,202,202,200,184,195,206,192,196,212,220,188,135,80,65,66,56,77,140,144,108,78,122,206,208,207,154,158,162,165,168,172,167,169,191,173,172,198,217,185,126,79,74,75,66,95,159,168,136,85,122,205,208,210,100,102,102,102,104,106,106,110,136,117,112,177,216,185,118,81,81,83,77,107,161,179,161,109,106,179,218,234,102,102,101,99,100,100,99,99,101,102,94,167,217,187,112,108,96,88,84,111,156,179,179,147,124,202,230,243,101,102,102,101,101,102,103,103,103,104,97,153,217,189,112,155,125,105,94,98,141,169,179,162,128,195,228,235,101,101,101,103,102,103,103,103,104,105,99,131,211,188,118,181,152,123,111,94,107,152,163,145,104,170,219,210,100,100,100,102,102,103,103,103,105,106,101,120,220,181,129,202,176,145,129,109,87,106,133,116,123,180,180,199,100,100,100,101,102,102,102,103,104,105,103,116,213,154,158,215,191,163,145,123,95,82,89,84,167,207,161,177,99,101,100,101,101,101,102,104,104,104,104,107,139,148,208,218,198,173,155,134,105,84,82,76,176,229,197,167,99,101,101,102,101,100,101,104,103,103,103,103,98,167,220,220,205,180,162,143,113,86,83,77,172,235,218,199,100,101,101,103,101,99,100,102,102,102,103,102,99,160,213,217,208,186,166,147,120,90,82,76,157,236,217,192,99,99,101,105,101,99,99,101,102,102,103,103,101,157,210,215,207,186,167,150,125,95,84,78,146,234,223,177
13,195,200,202,204,206,208,211,213,213,214,215,216,217,216,216,216,215,213,213,213,211,209,208,208,207,204,203,200,197,201,202,205,208,210,212,213,214,216,217,218,219,219,219,218,218,217,217,214,213,212,211,211,209,207,205,202,199,201,205,207,208,212,214,215,217,219,220,220,220,220,219,220,220,220,220,219,216,216,214,213,211,209,208,206,200,204,207,208,209,212,216,218,220,221,221,223,224,224,223,220,221,225,223,219,219,218,217,215,213,213,210,209,201,205,207,209,211,214,217,220,220,222,222,225,226,217,221,228,223,219,224,225,219,220,219,217,216,214,212,209,202,206,208,209,213,216,219,221,223,224,224,227,213,170,136,202,217,163,133,192,230,220,220,218,218,216,214,211,203,207,210,210,215,218,220,222,223,226,224,232,224,183,145,119,171,163,106,102,230,223,223,221,220,218,215,212,205,208,210,212,216,219,222,224,224,227,228,232,245,197,170,99,132,174,131,74,201,232,225,224,222,220,217,215,206,210,211,213,217,220,223,226,226,229,229,228,240,203,158,99,105,162,128,66,183,236,224,225,225,223,220,219,206,211,213,215,218,221,223,227,229,230,235,237,231,201,152,106,83,126,108,60,179,237,224,225,224,222,220,219,207,213,214,216,219,222,226,229,229,224,189,206,204,197,154,121,83,127,116,65,201,238,227,227,226,223,222,220,207,211,214,217,220,225,228,228,233,203,138,117,125,179,203,152,96,135,137,69,198,241,228,228,228,226,223,222,208,213,216,219,221,224,229,230,245,197,147,132,93,158,232,169,97,113,128,61,125,246,228,229,228,227,225,224,208,215,217,219,223,225,227,212,167,186,170,155,107,68,166,127,88,103,99,87,77,199,242,228,229,228,226,224,208,214,217,220,223,220,236,195,122,124,191,159,137,62,34,47,67,109,109,116,99,117,244,232,230,228,227,226,210,215,218,220,221,239,240,172,144,116,159,170,136,105,34,61,83,91,144,142,129,78,204,241,230,229,229,227,211,215,220,221,226,242,193,180,163,143,113,165,144,121,55,63,141,152,158,143,129,76,177,246,230,231,229,227,211,216,221,222,226,248,194,163,160,140,113,132,136,95,58,67,171,192,185,132,113,76,196,245,230,230,228,227,212,217,220,223,230,237,193,139,129,126,97,64,100,85,73,92,191,188,178,143,98,80,227,240,234,231,230,228,213,217,221,223,228,230,216,186,135,95,67,45,85,114,93,152,216,183,168,136,79,106,248,236,237,234,231,229,213,219,222,222,225,230,226,201,164,135,117,112,114,126,138,219,211,173,148,129,68,145,255,237,238,234,232,230,215,221,221,223,228,227,220,209,181,161,132,130,151,199,214,216,192,164,137,118,64,185,252,237,239,235,232,230,216,220,221,225,227,230,216,194,176,152,130,132,145,215,211,196,176,151,128,99,68,222,246,238,238,236,234,230,215,221,222,225,228,233,207,181,177,154,137,141,141,195,204,192,163,136,116,82,89,248,241,240,238,236,234,232,217,221,222,226,228,235,222,189,178,159,150,145,143,189,199,185,155,120,105,55,148,255,239,240,238,237,234,233,216,220,220,224,227,233,238,199,176,171,155,137,132,166,183,166,134,102,79,67,230,247,241,240,239,235,234,233,215,220,222,224,228,231,237,229,188,169,148,137,128,146,166,153,119,99,55,142,255,241,243,240,238,235,235,236,212,218,220,222,227,231,233,237,213,173,149,133,132,138,156,149,118,97,60,205,251,240,240,238,237,235,233,232
21,79,82,90,99,106,112,116,120,125,129,135,136,139,144,146,146,147,151,150,150,153,153,153,152,153,154,154,154,81,86,94,102,109,115,119,123,128,133,136,140,143,148,149,149,156,154,156,156,156,155,155,156,158,158,156,156,83,87,97,105,111,118,122,127,132,136,139,143,147,150,157,128,104,160,157,159,158,162,166,161,162,163,162,162,85,91,100,107,115,121,126,129,134,138,142,147,151,153,165,140,38,150,164,161,164,146,131,169,165,165,165,165,89,94,103,112,118,124,129,133,137,140,145,150,155,154,167,154,48,122,174,163,167,152,58,139,176,168,168,167,92,95,105,115,121,126,130,135,140,145,149,153,159,158,169,158,59,92,180,163,170,164,68,99,184,169,170,170,93,99,109,118,123,128,133,139,143,148,152,157,160,163,168,161,82,74,177,169,173,161,77,76,184,170,171,172,95,102,110,119,126,130,136,140,145,150,155,160,163,165,167,178,122,65,163,175,175,164,87,66,182,175,175,175,97,104,114,122,129,134,138,143,148,152,156,161,165,167,167,185,137,65,139,183,175,173,114,61,179,180,179,178,99,105,116,124,131,136,140,145,150,155,159,163,166,170,172,192,146,75,111,189,175,175,126,56,170,184,182,183,99,108,118,127,132,137,142,147,151,156,161,166,167,168,160,200,174,108,96,188,180,172,134,56,161,189,182,184,100,109,120,127,133,138,143,148,154,158,163,166,170,163,141,148,198,144,93,180,183,186,159,67,157,191,184,184,102,110,121,128,135,141,146,151,156,161,166,167,185,208,190,140,130,125,84,171,188,186,164,67,154,194,184,185,104,113,123,130,138,143,149,153,157,162,166,170,176,170,184,176,122,63,44,142,186,168,155,65,150,197,186,187,105,112,123,131,139,145,148,153,159,164,168,172,172,145,118,105,137,92,81,76,101,133,136,62,144,203,187,190,107,116,126,133,140,146,151,156,160,165,170,172,182,193,162,89,85,144,148,133,79,56,106,54,133,205,188,191,108,119,128,134,141,147,153,158,161,167,172,178,164,151,174,119,27,82,161,155,101,27,54,38,132,206,191,192,109,120,129,135,141,146,152,157,162,168,172,178,165,66,112,136,48,0,75,141,118,72,25,14,122,207,191,194,109,121,131,138,143,147,153,158,163,169,174,179,162,122,93,118,96,50,0,89,153,110,48,1,89,211,193,196,109,119,129,137,143,148,154,159,163,169,174,178,184,163,84,52,96,73,0,33,156,144,89,26,54,207,195,197,107,118,128,135,140,146,153,158,163,169,173,175,193,155,113,78,38,27,40,85,153,172,114,68,38,187,201,198,110,120,129,136,142,146,153,160,164,169,175,175,197,186,153,78,47,59,91,180,179,153,113,75,35,178,202,197,111,121,130,137,144,148,155,160,165,170,176,176,196,189,132,69,77,91,126,211,182,140,88,56,31,181,202,197,110,121,131,137,144,150,156,161,165,171,174,175,190,186,125,107,98,81,148,213,168,127,80,41,33,185,202,199,110,120,131,136,143,149,155,159,164,170,173,175,184,180,149,116,87,82,158,208,162,118,71,41,37,189,201,200,114,125,134,142,149,155,160,165,172,177,180,182,184,174,155,99,98,97,151,196,158,117,64,34,43,192,199,199,77,82,90,99,103,110,118,127,135,144,149,153,161,170,155,105,130,102,134,177,133,96,56,28,56,208,203,205,41,42,41,41,42,44,46,50,53,54,56,56,66,154,157,122,134,111,117,166,109,71,44,30,46,119,123,130
22,175,175,176,175,176,177,176,176,175,177,177,177,175,174,173,172,172,172,170,169,167,166,165,163,161,159,157,155,178,179,178,179,179,180,180,179,179,180,180,179,178,177,177,176,175,174,172,172,171,170,167,166,164,163,160,158,181,181,182,182,183,183,182,182,181,181,156,176,182,180,171,160,177,177,175,175,173,172,170,169,167,165,163,161,184,184,185,185,185,186,186,186,184,178,141,145,184,184,177,122,170,179,179,178,177,175,173,171,146,154,166,164,186,187,188,188,188,188,188,188,186,179,153,117,186,185,181,121,152,182,181,180,179,177,176,177,130,121,169,166,189,189,191,192,190,190,191,190,189,185,164,105,179,186,184,124,132,185,184,182,180,179,179,171,114,128,171,171,191,192,193,194,193,193,194,193,193,187,165,104,165,189,187,128,122,186,186,185,183,181,185,157,103,148,173,172,194,195,194,195,195,196,196,195,195,192,175,127,139,193,193,136,112,188,188,188,185,184,188,142,98,169,175,173,197,196,196,197,198,198,198,196,197,196,186,146,116,195,194,128,103,188,190,189,187,190,179,132,113,179,178,176,199,199,198,199,200,199,200,199,200,199,192,153,97,188,195,123,101,188,193,191,188,188,160,106,146,181,180,179,200,201,200,201,201,201,200,201,201,201,193,165,105,159,195,134,105,187,196,193,190,177,141,93,176,183,181,180,202,202,202,202,202,202,201,202,202,202,191,173,139,119,190,139,106,183,197,196,196,177,125,123,187,186,184,182,204,203,203,203,203,203,203,204,203,203,199,181,159,131,169,141,120,160,194,195,191,162,106,165,190,188,186,185,205,206,206,205,205,205,205,205,205,206,205,187,183,186,183,170,169,122,127,176,176,138,105,188,191,188,187,185,207,207,207,207,207,207,206,207,207,208,208,196,187,170,158,160,169,121,94,99,124,102,139,195,193,190,189,186,208,208,208,208,208,208,209,209,209,208,209,204,192,145,86,108,154,138,113,102,103,73,170,197,195,193,190,188,209,209,209,210,209,209,210,210,210,210,209,204,184,126,84,67,119,137,125,119,111,68,176,199,197,195,193,191,210,210,211,211,211,211,211,212,212,211,210,201,186,154,110,72,71,80,105,120,99,67,139,200,198,197,193,192,212,212,213,213,214,214,213,214,215,213,212,197,185,159,109,75,80,88,110,152,126,87,90,195,198,197,194,194,214,214,214,214,214,215,215,215,216,216,213,196,186,150,111,84,87,117,169,182,158,112,68,154,199,198,196,195,213,213,214,214,214,215,215,215,216,215,213,197,189,165,125,90,94,148,193,203,179,141,77,121,200,198,196,195,214,213,214,214,214,215,215,215,215,215,214,196,187,170,133,94,103,167,201,198,176,131,72,133,199,197,196,194,214,215,215,215,215,216,216,216,217,216,214,193,183,180,138,102,111,182,202,185,151,112,62,164,198,196,195,194,216,216,216,216,217,217,217,218,217,217,215,189,178,177,139,106,111,187,191,166,130,102,70,188,200,199,197,194,216,217,217,217,217,217,218,218,218,218,217,189,174,169,139,103,102,176,178,160,119,88,84,198,201,199,189,142,214,215,216,217,216,217,219,219,218,218,218,197,174,168,139,108,102,170,171,146,103,70,114,202,190,147,94,55,148,152,156,162,166,169,173,176,179,185,188,186,172,163,139,119,99,160,162,129,86,58,140,144,89,58,50,42,108,107,108,109,108,107,108,107,105,107,108,118,173,164,137,121,96,129,131,96,66,49,66,59,38,42,49,35
23,179,180,180,181,182,182,182,183,183,183,183,183,183,183,183,184,183,182,182,182,181,181,180,180,179,179,179,170,181,182,181,182,184,184,184,184,185,186,185,185,185,185,185,186,186,184,182,183,182,182,181,181,180,181,179,179,181,182,184,185,185,186,186,186,186,187,187,187,186,187,187,186,187,187,187,184,184,183,183,181,182,182,181,180,183,185,186,186,186,186,186,187,187,187,187,187,187,188,188,188,188,189,188,187,187,186,186,186,185,184,183,182,185,186,186,187,187,188,188,188,187,188,188,188,188,188,188,188,189,190,188,188,187,182,183,184,184,186,185,184,186,186,187,189,189,189,189,189,189,189,190,191,189,188,189,189,189,187,195,204,198,190,185,150,126,193,185,186,187,188,188,189,189,190,191,189,190,190,191,192,191,190,191,192,190,201,211,206,169,153,152,116,139,193,186,188,188,189,189,191,191,192,193,192,192,193,193,192,194,193,192,193,209,210,191,163,106,140,159,173,192,189,189,189,189,190,190,192,193,193,192,193,193,193,193,193,193,193,190,206,221,189,118,117,166,198,194,192,190,190,189,190,190,191,192,193,193,193,193,193,194,193,193,193,194,192,197,214,221,153,94,186,201,192,190,193,193,189,191,191,191,192,193,193,193,193,195,194,193,194,195,195,196,193,209,213,213,161,169,198,172,186,196,180,182,195,193,192,192,192,193,194,194,194,195,195,195,194,195,195,196,196,207,206,195,206,210,206,151,140,183,166,146,196,193,192,192,193,194,194,194,194,194,196,195,195,190,176,180,194,197,199,134,177,179,184,151,106,164,175,124,197,194,194,192,193,194,195,196,195,194,197,195,203,199,178,156,168,180,200,184,205,204,189,141,91,134,154,117,200,195,194,193,194,196,196,195,196,197,197,199,212,211,206,184,173,164,162,154,159,180,190,155,93,84,109,96,185,199,194,192,194,196,196,195,196,198,198,196,208,218,209,205,188,170,182,167,149,143,147,151,115,77,91,86,137,205,194,191,193,195,195,195,195,195,198,193,204,220,206,200,179,140,156,185,177,162,145,108,124,87,81,92,112,202,195,191,194,195,195,195,195,196,198,193,204,217,212,209,151,117,106,149,154,144,123,91,119,93,76,87,149,203,192,193,194,194,196,195,196,196,199,192,204,218,221,206,147,101,70,105,168,131,87,99,132,98,75,104,190,197,194,193,194,195,196,196,197,197,199,189,206,221,217,189,152,111,57,127,153,104,65,124,135,100,77,159,204,194,195,193,193,194,195,196,197,197,197,190,209,221,207,177,144,115,67,112,120,57,66,138,123,84,106,202,197,196,196,192,192,193,194,195,196,198,196,194,213,218,198,170,140,114,65,98,96,45,104,132,97,77,162,205,195,198,197,198,197,197,198,199,200,202,196,199,219,212,187,164,142,117,72,93,82,57,121,110,79,96,196,198,196,197,196,168,170,172,175,178,183,188,184,201,210,201,175,156,139,120,75,84,82,81,97,95,84,160,209,203,204,203,203,106,105,104,107,110,110,105,129,202,203,192,161,151,153,117,81,75,86,107,101,89,96,155,160,162,166,169,170,109,108,107,107,107,109,101,127,200,199,183,158,164,163,110,94,80,96,114,112,98,102,97,98,101,96,95,103,109,110,110,109,109,111,104,140,203,192,185,168,173,163,119,100,90,101,109,103,102,111,108,109,113,131,161,185,109,111,111,110,111,114,102,152,212,202,197,181,178,162,128,103,93,97,103,101,112,119,135,168,192,206,199,200
3,65,3,30,56,74,82,91,101,107,112,117,120,123,125,127,130,131,133,136,136,124,140,143,145,147,148,148,149,58,0,35,59,75,83,92,102,109,113,117,121,124,126,127,131,133,135,138,149,92,120,149,145,146,148,149,151,47,1,40,60,77,85,94,104,110,115,119,122,125,126,129,132,135,135,141,160,94,105,153,145,146,149,150,151,37,5,45,63,77,86,96,106,110,116,121,125,126,128,131,132,136,135,146,157,87,108,152,145,147,149,150,152,27,8,47,65,78,87,97,107,111,117,121,124,126,130,131,133,140,138,151,157,87,116,153,147,150,151,152,154,17,14,50,68,80,88,100,108,113,118,123,125,128,132,136,136,126,130,160,142,85,115,154,149,152,153,154,155,8,21,53,71,82,90,100,110,115,119,124,125,127,118,147,170,134,99,147,121,80,118,157,151,153,154,154,155,3,28,56,73,83,92,102,111,115,121,119,150,171,132,109,145,154,91,118,119,70,131,157,153,155,154,156,157,0,33,58,75,83,94,104,112,116,119,126,143,158,167,119,97,151,121,131,109,74,146,155,155,156,156,157,158,2,38,60,77,86,96,106,113,112,139,180,148,93,118,138,78,138,140,132,101,70,150,155,155,156,158,159,159,5,42,62,78,87,96,107,114,113,149,159,148,125,90,132,114,66,66,131,116,84,108,160,155,158,159,159,161,9,45,64,79,88,96,107,114,114,156,137,93,131,119,102,134,67,57,119,149,133,77,137,162,158,160,160,162,15,47,67,80,89,97,108,114,117,163,125,67,77,79,83,86,86,88,94,147,136,80,135,164,158,160,162,162,19,51,68,81,90,98,109,112,121,160,124,114,96,69,84,85,105,99,104,154,131,79,149,162,160,162,163,162,23,54,70,81,91,99,110,111,130,168,143,116,89,74,90,107,122,101,120,172,129,86,160,161,162,163,164,165,29,56,72,82,92,100,110,109,133,170,129,98,78,81,98,122,126,123,150,171,116,93,165,160,162,163,166,166,34,58,73,83,92,102,111,110,136,166,127,102,85,88,104,130,134,161,166,161,107,93,166,161,163,164,165,166,38,59,74,83,93,103,112,110,134,171,140,109,93,89,107,133,157,180,159,138,102,96,169,161,164,166,165,167,41,60,76,85,94,103,111,111,133,172,144,120,97,97,108,147,178,177,157,120,82,114,170,161,165,166,167,167,45,61,77,86,94,104,111,113,131,174,154,128,102,103,114,162,177,169,154,115,67,126,168,161,165,166,167,167,46,63,77,86,95,104,110,115,125,166,152,129,117,109,120,170,176,162,146,108,64,140,167,162,165,168,167,167,49,64,77,86,95,105,110,115,121,151,153,137,133,119,125,165,170,154,138,97,68,155,165,165,165,167,167,168,51,66,78,86,95,105,110,116,119,140,157,146,140,131,120,152,156,139,125,88,85,167,163,165,166,167,167,168,52,67,79,87,95,107,112,116,120,137,160,151,142,128,117,135,142,129,125,73,112,171,162,165,165,167,169,169,52,68,78,87,96,106,112,116,119,141,171,151,137,118,113,126,127,126,121,75,145,167,163,166,166,167,169,169,54,69,79,87,96,107,111,117,118,148,177,148,137,120,116,129,121,127,96,93,167,161,164,165,167,168,169,169,54,70,79,88,97,106,111,118,117,159,176,157,145,123,129,137,120,116,78,124,168,161,164,166,167,168,168,169,55,71,79,88,97,106,110,118,118,164,177,171,140,125,137,136,116,95,72,144,164,163,165,166,167,168,169,169
21,96,105,118,134,142,150,155,159,163,164,167,174,175,178,179,182,183,185,187,188,188,188,189,190,189,189,190,189,98,107,122,135,144,152,157,158,165,192,132,142,182,178,181,184,186,187,188,189,191,191,191,192,191,191,192,191,99,106,124,138,147,153,159,160,173,205,121,120,187,178,184,186,187,189,188,192,192,192,193,193,194,194,193,193,100,107,125,139,148,154,159,162,173,202,132,116,184,181,185,188,190,190,190,193,196,196,195,196,195,195,196,194,103,109,127,142,149,156,161,164,173,196,137,112,181,184,187,188,191,193,194,191,162,188,199,197,198,197,196,197,104,113,129,141,152,158,161,166,173,198,151,112,177,187,187,191,193,192,198,174,112,163,207,198,200,200,199,199,105,115,132,143,153,159,164,169,173,196,158,112,168,191,190,193,195,199,194,155,114,190,205,200,201,202,202,201,107,117,133,145,154,161,167,171,170,196,161,112,151,196,190,194,195,205,182,131,139,211,200,202,202,203,202,201,107,117,135,146,154,161,167,171,171,207,168,116,143,198,191,193,201,199,166,119,183,209,203,204,204,204,203,203,108,119,139,148,154,161,167,172,172,216,177,126,144,198,192,196,199,180,140,135,209,203,206,206,206,205,205,204,109,122,139,148,157,162,167,171,172,202,165,125,136,200,193,201,198,172,113,174,211,205,207,207,207,207,207,206,110,123,140,149,158,163,173,188,154,174,142,112,132,201,192,199,196,149,128,209,206,207,208,208,208,208,208,208,111,125,141,151,159,157,198,226,155,136,115,101,127,184,184,191,180,115,173,214,207,208,209,209,209,209,209,208,112,127,143,151,160,159,191,199,150,109,94,101,135,173,180,175,135,121,210,207,208,210,210,210,210,210,209,209,112,128,144,152,155,186,209,159,142,115,83,91,121,156,161,144,103,170,215,207,209,210,210,210,211,211,210,210,113,130,144,152,159,231,203,186,161,149,99,85,112,130,144,124,116,207,208,210,210,211,212,212,211,211,211,211,115,131,146,150,180,202,195,215,204,166,114,89,103,114,128,103,155,216,207,210,211,212,212,212,212,212,212,212,117,134,147,149,197,182,190,211,209,143,105,95,94,108,109,94,186,214,210,211,212,212,212,211,213,213,212,212,117,134,145,154,210,173,154,137,165,137,112,101,96,94,100,96,189,214,210,213,213,214,215,215,214,213,212,212,118,136,144,164,205,151,138,136,150,148,122,101,95,96,97,93,185,216,211,214,214,215,216,217,216,214,214,214,120,138,143,174,210,175,171,145,146,182,130,111,103,98,93,94,191,216,213,214,215,215,216,216,216,215,215,215,122,139,142,178,207,189,167,142,210,224,146,132,115,94,92,96,198,215,213,215,216,216,216,217,217,216,216,216,123,139,142,178,220,192,156,164,235,203,155,134,118,94,89,110,208,212,214,216,216,216,216,217,217,216,216,216,124,140,144,175,214,170,160,173,217,174,145,125,119,101,85,130,217,211,214,216,217,217,217,218,218,218,217,217,126,140,147,168,198,165,175,166,205,169,154,122,111,101,82,149,219,211,214,216,217,217,218,219,219,219,218,218,127,139,147,163,182,182,192,166,206,169,154,140,104,97,85,162,221,211,215,217,218,219,220,219,219,220,219,218,125,136,148,156,181,203,175,161,204,161,137,127,101,93,89,183,214,210,215,217,216,217,218,218,219,219,218,218,125,136,147,154,175,199,176,152,178,146,119,106,96,87,95,195,211,210,213,213,214,216,217,218,218,218,218,218
8,169,170,171,172,172,171,171,172,173,172,171,171,170,170,169,167,166,166,165,164,163,161,160,158,156,155,153,152,171,172,173,173,173,166,156,168,175,174,173,172,172,171,170,169,168,166,166,165,164,163,161,159,157,155,154,153,172,173,174,175,174,155,124,153,176,177,176,174,173,172,171,170,169,168,167,166,166,164,162,161,158,156,156,155,174,175,176,176,174,144,108,142,177,178,177,176,175,174,173,172,171,170,169,168,167,166,164,162,160,158,157,157,174,176,177,178,174,140,102,142,179,180,179,177,177,176,175,174,174,172,171,170,168,167,166,164,162,159,158,158,176,177,178,179,174,137,99,146,180,181,180,179,179,178,177,176,173,167,165,168,165,164,167,166,164,161,160,159,178,179,180,181,176,140,99,146,182,182,177,167,169,177,174,171,165,143,127,138,144,145,165,167,166,164,163,161,180,181,181,182,179,148,103,140,182,180,163,138,132,156,150,134,136,133,108,97,116,123,160,168,167,165,164,163,181,181,182,183,180,149,102,131,181,176,160,139,116,124,130,108,106,131,115,84,90,106,145,168,168,166,165,164,181,183,184,185,181,155,115,122,175,173,163,151,121,107,125,111,103,128,111,78,73,92,115,157,169,167,166,165,182,184,185,186,184,171,138,121,163,168,160,156,125,99,118,117,100,118,106,76,65,89,93,128,167,169,167,166,183,185,186,186,186,179,150,125,146,150,143,152,126,96,106,117,94,110,121,88,68,92,88,113,166,170,169,167,184,185,186,187,188,184,162,146,140,135,126,140,125,92,91,111,91,100,124,92,78,101,90,125,170,171,170,168,186,186,187,188,189,189,179,159,134,121,116,128,126,97,81,92,77,66,85,78,91,105,92,142,173,172,171,169,187,187,188,189,190,190,182,153,123,102,97,112,134,118,80,65,66,71,77,96,117,104,99,157,174,173,172,170,188,188,189,190,191,191,182,154,126,100,88,98,134,127,90,72,99,125,125,123,122,95,108,168,175,173,171,170,187,188,190,191,192,192,187,166,136,106,89,93,120,120,99,104,136,145,139,119,101,84,123,174,176,174,172,171,187,189,191,192,193,193,188,171,142,113,94,92,116,134,137,148,157,144,132,106,82,86,149,178,177,175,173,172,188,189,191,193,194,193,188,175,149,122,101,95,123,159,169,169,158,137,121,95,73,116,172,180,178,176,174,173,188,189,192,193,195,194,186,174,154,126,105,104,134,168,171,165,148,127,109,84,88,155,181,180,178,177,175,174,190,191,192,194,195,193,183,172,158,131,111,113,142,165,167,158,138,118,97,79,124,177,183,181,179,178,176,175,191,192,193,194,196,195,185,175,163,137,118,117,144,160,162,149,126,106,84,94,161,185,183,181,180,179,177,175,191,192,194,195,197,197,191,181,167,143,123,117,141,152,149,134,112,90,78,130,182,186,184,182,181,180,178,176,191,192,194,196,196,197,194,184,168,144,125,118,133,142,134,118,96,76,101,168,188,187,185,183,182,180,178,176,192,193,195,195,196,197,195,184,164,144,129,122,127,134,124,105,83,86,150,186,188,187,185,184,182,180,179,177,193,194,195,196,196,197,195,184,166,151,140,132,127,128,115,94,81,130,183,190,189,187,185,184,181,180,179,178,192,194,196,197,197,195,193,187,172,161,147,138,129,122,103,82,100,170,192,191,189,188,186,184,181,181,179,177,192,194,196,197,197,192,189,188,175,164,148,139,127,112,93,78,126,187,193,192,190,188,186,185,183,182,180,179
15,124,128,132,135,108,98,100,103,91,53,105,113,51,5,50,68,69,75,79,83,89,103,112,117,123,127,131,135,125,129,133,134,106,102,101,107,84,59,110,114,41,11,55,68,70,75,79,85,90,104,113,116,124,128,132,135,126,130,134,133,106,105,104,111,75,68,113,110,31,17,59,67,71,75,80,85,91,106,113,117,124,128,132,136,129,131,135,130,104,103,102,115,67,78,115,108,21,21,61,66,71,76,80,85,93,105,111,118,124,128,133,137,130,134,136,129,127,118,108,108,68,86,114,100,8,22,64,67,72,76,81,86,94,108,112,119,126,130,134,137,129,135,137,132,123,124,122,116,109,105,108,93,48,48,68,68,70,74,81,85,95,109,114,120,126,130,134,138,131,135,139,124,104,100,89,103,108,110,113,117,118,108,104,99,93,88,85,85,97,112,114,122,128,131,135,139,132,136,140,122,108,104,82,81,88,82,94,120,112,112,111,113,121,122,104,91,90,95,116,121,128,131,136,140,133,137,141,120,112,112,117,96,61,87,76,99,103,99,95,100,121,135,124,103,96,68,89,125,127,132,135,140,134,137,139,118,112,112,120,92,62,122,116,60,69,96,83,104,132,134,125,116,112,85,65,111,131,133,136,140,135,139,141,116,114,113,123,83,67,122,126,37,12,61,89,141,131,134,137,134,127,105,80,74,129,134,137,140,136,140,141,115,117,112,127,85,78,122,123,26,10,67,106,152,106,133,143,147,144,114,87,65,92,139,137,141,137,141,137,117,118,126,117,102,107,104,105,34,70,130,119,91,96,135,145,152,142,113,91,79,62,117,143,140,138,143,135,116,123,129,109,114,127,124,101,85,102,103,94,60,87,161,138,125,127,115,102,84,65,74,141,141,139,144,132,116,125,114,87,101,126,128,101,88,99,96,98,104,117,119,100,101,115,116,99,82,74,56,105,148,139,144,131,120,125,124,101,82,113,114,90,94,105,102,107,117,118,98,79,85,101,101,90,78,74,63,63,132,140,145,130,124,126,127,120,63,115,89,75,89,96,100,106,117,108,88,76,77,86,87,88,86,78,72,59,76,140,145,129,126,126,131,108,65,135,75,53,64,78,82,97,108,106,88,77,79,83,82,88,91,82,77,68,57,141,145,128,128,126,135,100,93,97,61,51,36,84,95,74,93,93,85,83,85,84,84,88,89,82,76,71,63,142,143,127,129,127,131,128,84,59,53,43,12,133,140,69,86,88,83,86,93,94,92,90,85,82,79,72,67,142,143,128,132,126,138,121,63,46,72,35,3,100,141,93,89,116,107,113,115,106,96,90,82,80,83,79,68,144,141,127,133,130,136,82,52,78,128,29,12,58,106,118,77,87,117,114,111,104,93,85,80,79,81,83,76,146,139,126,136,131,144,68,92,142,128,18,18,66,69,87,71,56,93,107,98,96,87,82,82,83,85,84,81,146,140,130,138,136,146,63,118,148,124,12,22,68,73,70,72,75,88,121,95,85,85,82,85,90,89,82,79,146,137,133,139,139,144,59,123,151,117,5,27,71,71,72,74,79,78,108,131,102,76,77,77,83,90,89,82,144,135,136,140,141,137,58,133,152,104,1,31,71,70,70,73,77,81,81,126,146,114,91,75,78,89,99,88,144,136,139,142,145,129,64,140,155,92,1,38,73,69,69,72,77,80,85,100,139,114,97,107,105,109,103,94,146,140,142,142,149,120,66,144,156,79,1,42,73,67,70,72,76,80,86,99,107,103,116,125,116,119,117,112
12,152,154,157,159,161,164,165,167,169,171,173,175,178,179,178,177,180,181,182,183,182,183,181,182,182,184,184,184,153,156,159,161,163,165,167,169,170,172,175,177,178,181,182,183,181,181,177,176,185,184,184,184,184,185,185,185,155,158,160,162,164,166,169,170,171,173,177,178,178,167,148,168,187,186,166,133,145,192,187,189,190,185,187,185,156,159,161,163,165,168,169,171,174,176,176,182,196,171,149,127,190,195,171,147,104,180,169,162,173,191,187,188,157,160,162,165,165,168,170,173,175,177,175,191,210,187,172,124,163,203,165,157,119,114,149,145,117,167,194,187,158,160,164,165,167,169,172,175,176,178,177,195,212,196,171,130,160,208,167,158,115,95,163,148,116,104,195,188,159,162,165,167,169,171,173,176,176,179,179,195,212,208,178,145,159,213,174,155,102,110,174,143,107,84,179,194,160,163,166,168,170,172,174,177,180,180,180,184,175,203,189,153,147,206,167,140,88,121,176,140,104,82,169,199,162,165,166,168,171,173,176,177,179,180,192,167,123,148,186,136,133,185,146,130,91,112,166,138,108,81,166,201,162,164,167,170,172,174,177,179,178,197,196,150,128,107,156,126,119,171,141,132,94,109,158,137,111,78,165,203,164,165,168,171,172,175,178,176,193,196,183,159,142,106,121,127,101,162,140,117,92,109,161,141,111,79,178,198,164,167,169,171,172,175,178,179,194,164,181,173,143,114,91,123,115,145,161,128,98,132,195,162,117,89,197,194,164,167,170,171,174,176,178,185,196,161,165,168,138,119,80,122,131,141,180,142,102,147,200,169,100,82,190,198,165,169,171,172,175,178,178,188,191,168,144,159,144,117,76,91,120,95,140,137,81,126,159,111,96,94,123,203,166,169,170,173,175,179,178,192,191,168,138,162,139,107,88,58,67,49,118,164,151,168,157,132,121,110,99,191,167,170,171,174,177,179,178,194,194,169,143,149,134,103,95,63,68,99,178,192,187,177,164,139,119,104,108,195,168,170,173,175,177,179,180,195,193,168,141,131,134,111,104,70,88,153,192,190,186,169,155,131,113,95,120,205,168,170,173,176,178,181,181,196,193,175,157,132,118,125,106,87,131,190,193,200,183,161,146,127,110,92,132,209,168,171,173,176,179,181,181,196,192,180,167,155,133,119,122,140,168,202,199,204,175,153,139,119,106,93,170,206,169,171,174,177,180,181,181,194,196,185,171,164,158,141,144,157,167,203,202,195,163,143,133,116,97,116,203,200,169,171,174,177,178,182,183,190,194,188,175,169,168,155,144,150,164,206,199,180,157,138,125,112,90,147,208,198,168,171,173,175,178,182,184,187,188,186,180,173,168,159,147,141,170,206,192,168,151,132,116,107,90,174,207,200,169,170,173,176,179,182,184,185,182,184,181,174,170,160,145,136,168,192,181,153,139,123,109,100,103,198,202,200,169,171,174,177,179,182,183,185,185,186,184,175,170,159,147,131,163,179,164,141,128,113,106,90,143,207,199,201,169,171,174,178,180,182,183,186,187,189,180,171,166,152,140,127,158,163,143,132,117,105,100,101,190,203,200,201,169,172,174,176,180,182,184,186,184,187,172,157,152,138,122,128,152,151,132,125,110,106,95,151,206,200,200,201,169,172,175,176,179,183,184,183,183,191,166,153,145,124,123,129,149,146,131,120,110,99,109,196,202,200,201,201,169,172,175,178,181,182,186,180,188,194,168,161,147,131,134,137,152,142,129,111,103,91,153,205,200,202,202,202
0,152,154,157,159,162,164,165,167,168,168,169,168,168,169,169,169,169,168,168,167,168,167,166,166,167,166,163,162,153,155,158,160,163,165,168,169,170,170,171,171,172,170,170,171,170,170,170,170,169,168,168,167,167,167,165,164,154,156,160,162,164,167,169,169,170,171,172,173,174,172,173,174,174,172,172,171,169,169,169,169,166,166,166,165,157,158,162,164,166,169,170,171,171,173,175,175,176,179,174,174,175,177,173,171,170,172,171,169,170,169,167,167,158,161,163,164,168,171,172,172,175,178,178,172,169,155,173,177,144,143,176,176,173,171,173,172,171,170,168,168,160,163,164,167,170,171,173,174,178,164,165,202,167,109,106,184,141,72,139,169,164,154,133,177,172,171,170,169,162,164,165,168,171,172,174,175,187,150,107,183,188,139,88,182,153,102,54,78,127,171,90,167,178,172,173,171,161,164,167,169,171,173,172,182,205,186,130,112,197,143,89,179,156,105,47,106,125,175,117,106,181,173,175,173,161,165,168,170,173,175,174,197,196,195,162,79,160,151,80,176,165,93,73,137,91,167,153,94,122,179,174,174,163,166,169,171,172,174,180,198,147,186,151,59,118,157,83,172,155,73,73,133,57,133,169,136,78,126,186,173,166,169,171,172,174,171,193,201,140,175,120,51,117,133,71,142,125,61,66,121,65,165,195,149,73,96,187,173,167,170,171,173,176,174,202,194,155,168,103,50,113,104,59,104,102,58,63,105,84,192,186,141,58,140,184,176,168,169,171,176,176,181,212,179,129,134,122,57,92,96,52,93,94,35,113,126,143,185,163,102,66,181,178,178,169,171,174,178,177,182,219,196,154,102,83,37,104,123,54,114,106,89,158,148,150,165,124,61,114,193,178,179,170,172,176,178,176,187,218,192,169,134,81,56,91,99,50,91,163,184,163,149,119,119,95,46,160,189,182,179,170,173,177,179,177,196,219,189,172,153,120,77,78,106,120,171,197,183,154,138,107,78,70,54,182,185,184,183,172,174,177,181,178,199,219,192,172,155,136,85,80,124,177,207,199,176,142,126,92,66,39,103,196,182,185,184,173,175,177,181,177,195,219,198,174,161,150,105,92,119,190,205,197,164,131,109,77,48,49,181,189,185,186,185,174,177,178,182,178,190,216,201,178,162,155,123,94,129,200,206,182,148,115,90,64,32,135,196,184,186,186,185,174,177,178,183,181,186,215,203,185,162,148,125,94,142,197,194,160,137,103,74,37,89,199,187,188,186,186,187,174,177,180,183,182,187,215,199,183,164,141,118,101,159,179,160,149,126,92,53,41,176,193,190,190,189,188,187,175,177,180,184,181,186,217,197,187,165,135,115,122,162,142,138,131,104,75,30,133,201,189,191,191,191,189,188,175,177,178,184,175,201,221,202,199,168,138,124,139,153,122,127,107,86,39,91,200,193,194,192,192,191,190,188,175,178,182,180,181,222,213,203,197,162,137,131,142,131,118,114,96,57,65,190,198,194,193,193,192,192,190,189,174,178,183,175,201,215,191,193,188,148,128,136,128,114,108,95,65,54,171,199,196,194,193,194,193,192,190,190,174,176,179,169,211,200,168,159,161,135,123,131,116,104,95,74,49,145,198,193,194,194,194,194,192,192,191,190,173,180,172,175,217,187,157,134,129,111,126,132,92,91,88,42,107,199,195,195,195,195,195,193,192,192,191,190,175,180,164,201,214,175,138,130,116,92,131,119,75,90,61,54,175,197,194,195,196,196,194,193,192,192,192,192
4,150,153,158,161,163,165,167,169,171,172,172,174,175,176,177,177,177,176,177,176,176,176,175,174,174,174,174,173,151,154,158,161,163,165,167,169,171,172,173,175,176,177,178,176,177,177,177,177,177,176,175,175,175,175,174,174,152,156,159,162,164,166,168,170,172,173,175,176,178,185,180,167,169,183,173,166,174,178,177,177,177,176,175,174,154,157,160,163,165,167,169,171,173,177,183,178,182,199,183,161,162,189,170,147,156,176,176,178,178,177,176,175,155,158,161,164,166,169,171,172,175,194,208,190,175,198,187,162,171,197,171,137,142,166,156,166,178,178,177,176,156,159,162,165,168,170,172,173,180,211,225,202,161,180,191,160,178,200,169,143,162,159,128,134,170,178,177,177,157,160,164,167,169,171,173,174,189,215,219,195,149,166,188,163,179,194,174,172,175,142,112,108,157,178,178,178,158,162,165,168,171,172,174,176,199,208,204,184,137,148,177,179,186,196,206,207,175,125,99,100,155,179,179,179,159,162,166,169,172,174,175,181,208,203,191,179,132,130,163,174,190,206,215,205,179,135,97,100,160,181,181,181,159,162,167,170,172,175,176,193,214,196,176,169,127,117,150,137,156,185,190,188,185,150,107,109,167,183,182,182,159,163,167,170,172,175,180,206,209,180,159,143,113,115,144,118,135,164,157,180,194,163,120,125,175,184,183,182,161,164,167,171,173,175,185,216,203,167,146,133,115,118,129,115,131,151,131,179,208,179,133,128,175,184,184,183,162,165,168,172,174,176,191,224,203,164,138,123,114,118,121,128,138,152,151,186,214,190,143,118,160,184,185,184,163,166,169,172,175,178,200,230,204,163,135,121,115,120,128,152,164,182,195,198,202,184,147,116,142,183,186,186,162,166,170,173,176,180,208,233,203,161,138,129,121,120,137,169,187,204,205,198,180,164,147,121,139,183,187,187,162,166,170,173,176,181,213,233,203,164,153,145,130,136,167,199,211,211,202,186,160,141,135,121,152,186,188,187,162,166,169,172,175,181,217,232,206,180,175,158,152,181,211,225,218,208,193,171,145,125,116,126,170,187,187,187,162,165,169,172,175,183,219,235,217,201,190,169,173,212,229,233,217,196,179,157,136,116,110,148,184,188,188,187,163,166,170,173,176,183,219,238,227,209,194,178,182,220,232,228,208,180,164,147,129,110,125,173,189,189,189,189,163,167,170,174,177,182,215,238,229,211,194,182,189,221,226,213,192,166,151,138,119,112,153,187,191,190,189,189,164,168,171,174,177,180,208,234,223,209,195,185,191,211,210,193,174,155,144,129,110,129,178,191,192,190,190,189,164,168,171,174,178,180,205,225,212,204,198,187,187,198,196,179,159,146,138,120,115,160,189,191,191,191,189,188,163,167,171,174,178,180,200,216,203,201,198,184,180,193,191,172,147,135,128,117,143,184,192,191,191,190,189,188,159,163,167,169,172,175,193,213,203,200,193,180,173,189,188,160,134,123,117,127,167,184,185,185,184,183,183,182,135,136,138,138,140,141,169,215,212,204,193,181,170,182,181,148,124,115,109,119,138,140,140,139,138,138,138,138,107,107,106,106,108,108,141,216,223,211,198,186,169,175,178,145,119,107,102,100,101,101,100,99,98,98,99,105,107,106,106,107,108,108,133,211,226,211,198,189,167,165,177,147,116,102,99,100,100,99,98,97,97,97,112,149,108,108,108,109,109,109,127,204,224,207,193,187,166,158,172,145,113,100,97,100,102,101,99,99,99,104,152,200
14,130,134,139,142,144,146,147,149,151,151,152,153,154,155,155,155,155,155,156,154,153,153,152,152,152,151,150,149,131,137,140,143,146,148,150,152,153,154,154,156,156,158,158,158,157,159,157,157,157,156,154,154,154,152,152,152,133,138,141,145,148,151,153,154,155,156,158,158,159,160,160,161,159,160,162,161,160,158,157,156,155,155,154,153,135,138,142,146,150,153,153,156,158,158,159,160,162,162,162,164,159,161,152,157,161,162,159,158,159,158,156,155,137,140,145,147,151,153,155,157,159,160,161,164,165,163,164,163,179,168,142,146,145,141,164,162,159,160,159,158,138,143,147,151,152,154,156,159,160,160,164,166,166,165,166,184,180,169,155,143,135,119,117,158,164,161,160,160,140,145,149,152,154,155,157,161,162,163,165,166,167,167,184,185,185,161,153,170,143,113,77,98,169,163,163,162,141,147,150,153,155,159,161,162,165,165,166,168,167,175,186,177,172,109,68,139,116,148,77,40,115,174,162,164,143,147,150,154,158,160,162,163,166,167,169,170,177,191,179,116,85,77,49,45,78,175,117,56,83,172,165,165,146,149,152,157,160,161,163,165,166,169,169,180,199,196,164,119,74,40,38,37,30,137,146,85,61,162,169,167,146,151,155,158,160,162,165,167,170,170,172,197,195,163,124,102,81,50,34,37,50,134,119,95,63,136,177,167,145,151,156,159,161,165,167,168,171,166,191,202,184,151,91,58,59,47,36,58,153,181,162,140,75,113,181,167,147,151,157,161,163,165,167,172,166,181,212,192,178,148,95,59,39,35,49,173,183,166,161,119,57,132,182,171,149,153,157,161,163,166,169,169,173,210,200,187,173,126,94,67,31,28,146,191,176,167,149,119,49,97,187,170,150,154,159,163,165,167,172,168,205,214,196,187,161,132,100,51,23,38,89,141,195,154,132,108,65,54,162,179,151,156,160,164,167,171,169,185,219,210,195,178,158,122,84,43,41,54,49,63,158,123,131,106,85,52,144,185,151,158,162,165,169,173,169,210,217,204,188,174,150,99,67,42,70,80,82,79,70,111,133,112,63,91,181,178,153,158,163,167,168,168,186,220,206,197,180,162,129,93,64,62,87,92,93,100,83,108,122,87,68,173,183,179,153,159,164,167,178,174,211,213,199,186,167,156,119,96,70,78,93,97,95,93,94,98,99,64,155,188,179,180,154,158,165,169,113,169,229,206,190,178,164,142,127,95,73,84,97,94,86,85,97,67,52,148,192,182,183,181,155,159,173,129,55,75,166,200,170,153,140,130,108,72,73,76,88,90,80,80,62,53,136,195,183,185,184,184,155,164,156,71,69,61,59,111,149,139,106,77,50,52,62,62,73,77,63,62,118,175,195,185,187,186,185,185,156,167,101,68,61,59,57,54,65,69,59,45,38,42,45,45,46,46,72,157,201,194,190,189,187,187,186,186,165,131,65,68,55,55,54,59,44,7,22,23,19,18,20,14,74,136,183,199,190,191,192,190,189,189,187,187,154,85,67,57,55,53,52,48,61,22,6,18,13,10,11,3,53,205,195,192,193,193,192,191,191,191,188,188,105,64,59,56,54,51,47,47,55,32,0,12,11,8,11,0,75,203,191,194,193,194,194,192,192,191,190,189,77,61,49,50,48,41,42,42,57,30,0,7,7,5,9,0,150,209,194,196,196,195,194,193,192,192,191,190,76,62,54,41,30,73,60,33,59,16,0,6,3,4,2,17,185,200,196,196,196,196,194,194,194,192,191,191
8,152,157,160,164,165,169,171,173,174,176,178,179,179,180,180,180,180,179,179,178,177,176,177,174,173,173,172,171,154,159,163,165,167,170,172,175,177,179,180,180,181,182,183,181,181,181,181,181,180,179,178,178,177,175,173,172,155,160,164,166,170,171,174,178,178,181,182,183,183,184,185,184,184,182,183,183,182,181,179,180,178,176,176,176,156,161,165,169,172,174,176,179,182,182,184,185,186,186,185,186,185,185,185,185,185,183,182,180,180,178,179,177,159,163,166,171,174,174,185,167,163,189,186,186,187,187,187,187,187,186,187,187,186,185,184,183,182,182,180,179,160,165,169,172,175,175,197,161,117,187,188,189,189,189,189,189,189,189,189,188,187,186,186,187,186,184,182,181,162,167,171,173,177,174,196,173,100,170,193,189,191,191,191,191,191,191,190,189,189,187,187,187,186,185,183,182,162,166,170,174,177,176,193,192,100,154,197,191,194,193,191,193,194,192,192,191,191,191,189,188,187,186,186,186,164,167,172,176,179,180,186,189,105,135,202,192,194,196,198,194,194,194,197,193,192,191,191,191,189,188,187,186,165,169,173,177,181,184,184,203,146,116,198,195,193,177,171,198,194,163,159,200,196,197,192,193,192,190,188,186,165,170,174,178,181,184,184,207,166,99,180,198,212,193,144,165,215,168,112,156,164,163,196,192,193,193,190,190,167,171,174,179,181,186,185,201,174,121,146,203,227,224,172,115,206,179,170,120,121,113,138,203,192,193,193,192,169,172,176,180,183,188,188,198,202,157,137,190,222,232,197,112,162,183,180,166,140,137,105,177,198,192,193,192,169,174,178,180,185,190,192,193,209,154,148,182,188,220,201,124,125,177,141,189,191,193,176,112,175,199,192,192,172,176,180,182,187,190,193,193,205,187,172,202,189,191,202,131,98,157,95,156,187,193,185,108,144,207,193,195,172,177,181,185,188,191,194,193,214,223,168,167,183,166,200,153,94,123,98,109,163,195,183,112,138,209,195,196,174,178,182,187,189,193,195,192,215,200,139,143,155,136,178,209,129,93,91,104,185,212,195,114,133,210,194,196,174,179,184,187,190,192,196,195,211,211,166,141,134,128,147,166,121,108,84,111,193,217,195,115,134,211,196,199,174,179,184,188,191,193,197,196,215,229,188,147,133,137,121,155,168,123,104,164,194,219,186,111,119,210,198,201,175,180,186,189,192,193,197,195,221,225,190,159,127,117,126,188,198,172,183,204,188,190,155,103,102,207,200,200,177,182,187,190,193,194,199,196,223,225,197,177,149,117,129,182,206,227,217,198,174,150,129,88,126,211,199,201,177,182,187,190,194,196,200,197,226,225,199,184,165,130,123,176,227,231,221,194,160,123,104,78,182,207,200,201,178,183,188,192,195,199,201,198,222,226,206,187,177,144,138,186,232,226,205,181,147,108,72,126,213,202,203,202,177,183,188,192,193,197,201,201,216,229,214,197,188,157,142,202,226,207,181,158,127,91,77,192,208,205,204,202,176,181,186,188,192,196,200,200,208,228,218,201,192,167,144,202,214,187,164,135,112,71,132,214,202,204,203,200,177,182,187,190,193,197,201,201,206,229,222,203,186,157,141,191,192,174,156,125,93,79,199,207,205,202,203,202,178,182,187,192,194,197,200,202,207,232,215,193,169,137,144,183,164,151,144,119,67,149,217,204,206,205,204,203,179,184,188,192,194,196,200,198,209,233,207,188,154,145,153,173,153,135,131,94,100,211,207,206,206,205,205,203
6,186,187,188,189,189,189,188,188,188,188,187,186,185,184,183,183,182,180,179,177,177,177,177,175,173,170,124,143,187,189,189,189,190,189,189,189,189,189,188,187,187,186,186,184,183,182,180,180,179,179,178,177,175,172,163,129,190,190,192,192,192,192,191,190,191,190,189,188,188,189,187,186,184,183,183,182,182,181,179,178,177,174,171,158,190,192,193,194,194,194,193,193,193,193,191,190,189,189,188,187,186,185,185,185,185,181,180,179,178,176,173,165,192,194,195,195,195,195,195,194,194,193,192,192,190,190,190,189,188,188,186,186,185,183,181,180,179,177,174,170,194,195,195,196,197,196,196,196,195,195,195,194,193,191,191,192,190,188,186,186,186,184,182,180,180,179,177,174,194,195,196,198,199,199,198,199,197,196,196,196,194,193,193,191,190,185,185,185,185,183,179,178,175,178,175,176,195,196,198,199,200,200,199,199,200,198,195,193,190,185,183,181,176,158,160,170,171,160,167,167,172,200,160,172,196,198,200,201,200,200,199,198,191,181,182,183,179,180,183,183,171,169,158,174,177,164,164,166,159,184,146,169,198,200,201,202,201,201,201,205,185,167,172,181,183,187,188,186,172,153,153,148,147,140,136,135,128,133,151,178,199,200,201,203,202,201,210,214,191,174,166,166,169,166,161,154,144,134,112,103,101,109,141,152,165,177,181,180,199,201,202,203,203,203,219,218,203,188,172,159,154,146,140,131,117,99,75,62,68,157,189,187,187,186,183,181,200,202,203,204,205,208,225,222,211,183,152,145,149,154,153,147,138,130,122,100,128,189,191,189,188,186,184,183,201,203,204,206,204,218,229,225,207,160,133,137,141,151,156,154,144,135,129,110,141,194,192,191,189,188,186,184,203,205,206,206,203,226,227,221,188,142,142,139,134,137,150,143,134,131,122,94,151,195,194,192,190,188,187,186,203,205,206,206,209,228,225,222,196,175,158,142,124,124,150,146,140,140,126,99,184,196,195,193,192,189,188,187,204,207,207,204,222,226,225,226,222,207,172,142,144,152,153,146,134,125,118,108,164,196,195,195,192,189,188,186,206,206,204,209,226,227,227,224,221,212,167,135,136,141,141,138,126,117,110,96,161,196,196,196,193,191,188,187,205,206,201,216,225,228,225,218,216,198,161,138,131,123,126,133,129,122,106,103,186,198,196,195,193,191,190,189,204,199,203,220,225,227,220,212,206,200,184,164,133,101,106,126,123,119,102,130,196,196,196,195,192,190,184,165,204,188,213,222,225,222,217,216,210,204,206,191,147,116,127,144,134,117,106,100,188,198,196,195,191,187,128,65,197,196,217,223,223,220,220,217,207,209,209,181,135,114,120,122,112,102,94,97,187,198,196,193,168,114,60,43,192,210,217,220,217,214,208,205,202,206,194,160,124,116,113,109,103,98,97,151,197,193,168,115,72,50,42,37,204,211,217,214,207,200,194,195,193,180,162,136,119,108,94,120,131,151,172,177,146,101,62,47,42,39,39,39,211,212,213,207,194,188,187,184,180,162,139,126,121,117,126,169,153,131,104,75,51,30,30,35,36,33,35,32,209,209,203,192,181,172,180,177,167,155,142,128,107,81,79,62,50,43,39,41,28,16,24,29,31,29,31,29,208,206,199,188,175,165,165,159,146,137,120,95,67,47,34,34,31,32,35,35,17,10,19,25,29,27,27,29,210,201,194,178,158,152,145,132,115,103,83,59,39,41,31,21,24,26,31,31,12,7,16,23,27,24,24,28
4,67,82,96,102,108,113,117,120,122,124,128,131,132,135,138,139,142,141,143,145,145,146,148,147,147,148,148,149,68,85,98,104,110,114,118,120,123,127,131,131,135,138,137,141,139,144,146,147,151,149,149,149,151,150,151,150,70,87,98,105,111,115,120,123,125,127,129,131,126,131,145,148,119,108,143,137,134,152,150,151,152,152,153,151,72,89,100,106,112,116,121,125,126,123,139,168,133,111,145,165,116,64,105,129,71,99,157,152,153,153,154,154,74,91,101,108,113,117,122,125,133,140,117,138,168,113,99,152,102,59,61,107,78,49,142,158,154,155,157,156,75,94,103,109,114,117,123,122,160,156,127,97,115,105,71,113,89,51,63,109,77,39,135,161,155,157,158,157,78,94,103,109,114,119,120,138,173,164,143,116,64,68,64,133,104,37,107,115,60,40,153,158,156,158,159,159,80,96,104,111,116,120,119,157,141,132,137,92,56,47,61,142,102,87,135,91,33,61,164,159,158,160,161,160,82,97,106,112,117,122,121,168,123,117,125,61,44,54,35,82,112,149,128,108,60,83,172,158,160,161,162,161,87,98,105,112,117,120,130,175,137,136,112,66,30,82,97,114,131,129,109,118,96,86,163,162,161,162,162,162,88,100,104,112,121,119,143,168,120,105,99,72,17,112,132,116,116,94,110,136,116,89,104,169,160,166,165,164,91,100,106,115,120,116,155,157,114,88,74,43,18,39,81,82,76,44,109,143,135,120,73,122,173,164,167,167,90,102,107,115,121,121,177,162,124,101,81,57,35,28,35,41,67,110,114,135,146,125,94,64,153,170,167,167,93,102,107,116,119,129,189,154,128,114,81,59,46,59,89,117,152,165,148,138,124,117,106,66,111,177,166,168,96,102,108,118,117,140,195,161,145,116,79,73,59,96,144,163,170,163,143,129,105,92,97,63,119,176,168,170,97,103,109,118,114,153,195,164,142,104,85,82,74,135,164,170,173,169,140,116,92,74,71,75,162,170,170,171,97,102,109,120,115,158,194,161,130,103,100,87,101,156,161,168,171,156,127,104,84,69,56,131,177,169,171,171,98,103,110,120,115,160,191,154,133,123,118,102,128,155,160,164,159,136,114,92,78,56,87,175,170,172,173,173,99,103,111,118,117,157,183,159,152,143,126,119,146,153,159,152,137,124,99,84,69,57,155,177,172,174,175,176,99,104,112,119,119,146,183,168,161,142,123,117,140,147,145,132,118,107,87,76,55,115,181,171,172,175,176,175,100,105,113,121,121,136,179,162,155,139,118,102,120,130,130,120,104,93,80,60,79,173,172,174,173,175,175,176,100,107,114,120,125,132,176,154,140,129,110,102,113,125,123,107,89,81,67,57,150,177,173,175,176,177,176,177,100,107,114,120,126,129,167,142,128,119,104,112,108,117,120,101,85,75,48,121,179,171,175,175,176,177,177,178,101,106,115,121,124,139,168,143,131,125,126,130,107,101,108,89,77,57,81,174,172,175,176,177,178,178,178,178,101,107,116,120,129,178,150,138,141,131,129,120,101,91,96,82,70,50,141,177,172,176,176,177,178,178,178,178,102,108,117,117,167,177,173,98,112,139,121,108,96,83,83,75,65,49,159,175,174,176,176,177,178,179,179,180,101,111,112,137,185,168,175,159,60,101,109,97,89,70,75,69,58,51,164,174,174,176,177,178,178,179,180,181,102,110,114,175,172,170,169,180,134,44,79,92,78,57,68,63,55,49,162,176,175,176,178,179,179,180,181,182
7,121,124,126,129,132,133,136,136,139,141,142,143,146,146,147,147,148,148,150,150,150,150,150,150,151,151,149,149,121,125,128,130,132,134,136,138,141,142,143,145,146,146,147,149,149,149,150,150,151,151,151,151,152,152,151,150,124,127,128,131,134,135,137,138,142,142,143,146,146,148,148,148,149,151,151,152,152,152,152,152,152,152,151,151,126,128,130,133,136,137,139,141,142,144,146,145,147,150,149,149,149,151,152,153,153,153,153,153,153,153,152,151,126,128,132,135,136,139,142,143,143,144,147,148,149,149,149,151,151,151,152,154,154,154,153,154,153,153,154,151,127,130,133,136,138,140,142,144,147,148,151,152,151,151,152,153,155,155,154,154,155,156,155,153,156,156,154,152,127,130,133,136,138,141,142,145,147,149,152,152,152,154,155,151,144,145,152,150,147,140,138,163,129,149,159,154,129,132,134,137,139,143,145,147,149,149,152,153,153,149,139,131,128,115,118,125,129,119,114,136,93,139,153,149,132,134,135,138,141,144,143,147,147,145,147,148,153,144,135,136,131,108,116,116,122,118,114,110,102,131,134,108,133,135,137,140,142,145,146,152,128,121,132,141,147,138,132,126,112,109,103,93,97,100,93,90,88,87,88,120,133,135,138,141,143,142,161,149,112,118,125,118,106,95,95,93,84,77,80,93,94,94,98,105,113,124,138,162,134,135,139,143,141,161,168,146,132,113,103,86,72,57,68,97,101,125,155,162,161,160,162,167,167,168,166,161,134,138,141,140,159,174,159,160,149,102,93,96,100,98,93,102,129,168,167,164,165,166,165,163,162,161,163,164,136,139,138,154,174,163,162,157,134,108,99,90,95,101,94,74,58,93,169,164,166,166,166,164,165,165,165,165,137,136,149,169,166,161,154,138,125,115,102,73,65,85,91,88,78,67,164,168,167,167,167,167,166,165,166,166,132,145,170,167,155,144,139,130,123,115,101,75,58,60,63,66,70,75,168,169,168,168,168,168,167,167,167,167,142,168,166,158,148,138,134,133,131,125,107,81,74,78,61,41,43,76,176,169,169,169,168,168,167,168,167,166,167,162,151,150,147,137,137,131,126,122,110,92,84,82,76,69,57,63,152,176,168,169,171,170,169,170,169,166,158,153,150,145,138,135,128,120,124,120,101,84,79,77,80,74,68,34,46,144,177,169,172,171,172,171,169,167,154,151,142,141,138,133,118,120,126,107,83,67,50,38,61,70,68,43,43,116,182,170,172,171,171,172,170,169,150,146,138,135,126,122,129,124,102,83,69,41,32,29,23,64,69,52,100,167,174,172,172,173,172,173,171,172,147,143,134,122,126,129,125,104,84,73,57,37,43,38,38,59,64,143,180,176,174,173,173,173,173,173,173,174,135,132,118,124,128,118,101,86,77,58,61,83,97,107,59,77,151,179,172,174,175,175,175,174,174,174,173,173,111,111,109,109,103,93,84,70,58,78,146,173,176,182,153,159,181,173,175,177,176,176,176,174,173,173,173,173,96,89,83,82,82,71,65,74,116,164,174,169,171,171,178,178,174,177,177,177,177,177,177,175,174,174,174,173,91,74,66,61,49,68,127,159,173,167,167,171,172,174,173,176,177,177,177,177,177,178,177,175,176,175,174,174,89,68,53,49,103,150,171,165,166,167,171,174,173,175,176,177,178,179,178,178,178,179,179,178,178,176,175,176,91,71,50,57,162,165,161,165,169,169,171,175,175,175,178,178,179,180,180,179,179,179,179,178,178,178,177,177
3,163,166,170,172,173,174,175,176,178,178,178,178,176,192,179,163,176,176,175,173,172,170,168,167,166,164,161,159,166,169,172,174,176,178,179,179,181,182,182,181,179,203,200,143,174,180,177,176,175,174,171,170,168,166,163,161,169,172,174,177,180,181,181,182,184,184,184,184,183,198,219,143,160,183,180,179,178,177,175,173,170,168,166,164,171,173,177,179,181,183,184,184,186,186,186,187,187,192,229,171,150,185,184,182,181,180,178,175,173,171,168,167,173,176,179,181,184,186,186,187,188,188,188,189,190,190,232,194,142,183,186,184,183,182,180,178,176,174,172,171,176,179,182,185,186,187,189,191,190,191,191,193,192,209,236,204,154,178,190,188,186,183,181,181,179,177,175,173,178,181,184,186,187,189,191,193,193,192,206,225,215,224,240,238,195,164,188,190,188,186,185,184,182,180,178,176,179,183,186,189,189,191,192,194,196,194,228,251,247,229,196,205,204,149,186,186,179,190,188,186,184,183,181,179,181,184,188,192,193,195,195,196,196,211,240,240,214,215,185,151,198,176,192,166,164,193,191,189,187,185,184,182,184,187,191,194,196,197,197,199,201,239,247,235,196,177,188,162,175,198,191,148,138,192,194,192,190,188,186,185,187,189,193,196,198,199,200,201,208,237,206,177,202,191,168,177,139,141,177,159,128,169,197,195,192,190,189,187,189,192,195,198,200,201,202,202,215,236,177,112,130,150,126,131,114,96,158,182,150,148,197,197,194,193,191,189,191,194,198,200,201,202,204,204,221,232,167,130,118,115,112,111,103,92,147,193,157,155,198,199,196,195,193,192,192,196,199,201,203,205,206,205,228,234,195,162,129,117,117,120,105,105,178,202,158,168,201,199,198,197,196,194,194,197,200,203,205,207,208,208,233,241,202,155,125,120,127,128,135,161,209,210,160,179,203,201,201,200,197,196,196,198,201,204,207,208,210,211,234,239,190,142,122,125,136,145,186,217,226,206,154,187,206,204,202,201,199,197,197,200,204,206,207,209,211,212,233,238,191,147,130,132,144,170,222,238,222,189,148,192,208,206,204,202,201,199,198,201,205,207,209,211,214,213,233,243,201,156,137,138,151,196,238,237,210,166,152,202,209,207,206,205,203,201,200,203,206,209,211,212,214,214,230,246,208,166,144,146,166,219,239,229,200,153,158,209,210,209,209,205,201,194,200,204,207,209,211,213,213,214,228,248,219,177,151,153,176,230,236,217,190,147,168,213,213,207,173,149,141,128,201,204,207,209,212,213,214,216,225,246,224,188,162,162,181,227,229,204,177,143,183,215,216,177,123,116,110,106,201,205,209,212,214,215,216,218,222,240,226,199,175,174,178,210,210,184,159,144,200,216,202,142,110,104,99,95,202,206,209,212,214,216,217,219,220,235,231,208,184,179,164,180,183,156,140,155,212,201,147,108,90,77,64,50,204,207,209,213,215,217,219,219,191,210,240,216,186,167,144,147,151,137,122,162,162,130,109,96,80,64,61,53,205,208,211,215,217,218,220,185,92,167,245,213,172,143,122,124,127,121,84,69,87,106,105,102,86,61,54,55,182,187,191,194,197,200,198,120,40,133,223,193,147,115,104,113,111,93,44,20,55,88,91,96,100,73,50,52,125,126,129,130,130,130,136,109,55,90,170,178,137,101,108,114,94,61,23,32,72,73,75,80,99,89,58,46,119,118,123,123,120,122,126,127,100,91,122,159,131,105,116,107,81,54,36,54,77,60,57,68,88,96,72,47
11,182,185,187,188,189,190,191,192,193,193,194,193,193,196,195,196,195,194,194,194,193,193,193,193,191,189,188,188,183,187,188,188,190,192,194,194,195,195,195,197,200,191,199,199,198,197,197,197,195,194,194,194,194,193,190,190,187,188,190,192,192,194,195,196,197,198,196,205,214,151,198,201,199,198,198,199,199,197,196,196,196,195,193,192,188,189,192,194,195,195,197,199,199,201,195,220,213,133,194,201,200,199,200,201,201,200,200,199,197,196,195,193,189,191,194,195,196,196,198,200,201,201,198,242,195,132,201,201,202,201,201,201,202,201,201,200,198,198,197,195,192,194,195,196,197,198,200,202,203,198,214,251,162,144,208,200,202,203,203,203,203,202,202,202,200,199,199,198,193,195,196,198,199,200,201,203,204,197,238,242,142,173,211,203,204,206,206,204,203,203,204,204,202,200,200,199,195,197,199,200,201,201,202,205,200,212,252,214,133,193,209,207,207,207,207,206,205,206,207,204,203,202,202,201,195,198,200,201,202,204,205,206,205,242,248,174,137,211,209,208,208,208,208,208,207,207,207,206,205,203,202,202,197,199,201,202,204,206,207,203,223,252,234,134,162,217,208,209,209,210,210,210,208,209,209,207,207,206,204,203,200,201,203,204,206,207,209,204,237,252,216,117,195,216,209,210,209,210,211,211,211,210,209,208,207,207,207,205,201,202,204,206,208,209,209,213,249,252,198,171,227,190,209,213,211,211,212,213,214,212,210,210,208,208,208,207,202,204,205,207,209,210,204,230,252,250,246,243,212,141,188,218,212,213,214,214,214,213,212,211,210,209,209,208,202,204,207,208,206,210,221,248,252,252,251,202,146,130,173,220,213,214,215,215,214,214,213,212,213,211,210,208,203,205,208,210,231,245,251,251,252,239,222,185,129,126,157,220,213,215,216,216,216,216,214,213,214,214,210,209,204,208,205,231,252,251,251,250,252,212,142,152,132,134,142,216,217,217,217,217,217,216,215,215,214,214,213,211,206,207,211,248,249,246,251,252,242,191,135,132,134,134,138,210,220,217,219,218,217,217,217,217,215,215,214,214,208,206,225,252,249,252,250,229,197,200,157,130,128,135,139,210,220,219,221,219,217,218,218,218,217,216,216,215,210,206,241,252,251,237,204,165,141,209,179,136,122,123,150,219,220,218,220,220,219,219,219,218,219,216,216,215,208,215,251,252,239,190,146,109,91,212,192,133,133,180,212,224,227,227,227,223,222,225,222,219,219,216,217,216,206,231,252,245,220,177,142,99,152,213,143,107,142,218,225,217,205,182,162,152,152,167,212,225,219,219,219,219,209,245,252,241,201,156,124,96,140,150,90,97,92,107,135,138,139,136,132,139,137,125,132,203,225,220,220,220,223,252,251,225,172,131,108,99,97,100,98,102,106,102,111,133,148,159,154,151,143,132,110,143,229,216,219,219,245,252,244,202,159,128,102,97,97,101,108,113,120,123,141,154,154,153,155,161,182,188,164,181,226,218,218,218,251,252,234,187,151,121,95,97,106,120,130,132,135,139,152,147,168,199,219,226,229,230,231,227,221,221,231,182,252,250,217,174,144,116,96,115,131,141,148,148,144,133,148,192,230,231,229,226,225,225,223,224,230,220,176,123,252,240,200,164,136,115,105,134,148,148,147,153,134,171,220,231,227,226,227,227,226,227,226,230,202,142,113,106,248,224,182,153,134,117,111,137,144,145,147,136,169,236,228,227,228,227,228,229,229,228,231,201,131,119,112,102
13,139,142,144,145,146,146,148,150,150,149,149,150,150,151,152,151,150,153,151,151,151,151,151,152,151,151,151,151,141,143,145,146,148,149,151,150,150,151,151,150,151,151,146,152,156,152,152,152,152,152,154,153,153,154,152,152,143,145,147,148,149,150,151,150,151,153,157,154,157,152,114,85,141,158,153,152,154,155,155,155,155,156,154,154,144,146,149,149,151,152,152,152,153,151,136,142,167,156,119,54,109,169,155,160,156,157,157,157,157,157,157,157,145,147,149,150,152,154,155,152,168,153,107,87,141,154,118,60,92,109,96,128,161,157,157,157,156,156,157,157,146,148,150,152,153,155,155,150,176,169,127,84,135,157,108,57,74,122,81,46,142,165,159,159,158,158,158,158,148,148,151,153,154,153,158,130,93,124,144,88,128,155,100,51,131,140,93,42,107,171,159,160,160,162,161,161,149,151,153,155,153,161,166,129,94,67,131,87,121,173,99,76,147,120,88,44,111,171,160,162,162,163,163,162,151,154,155,154,162,162,160,146,112,67,107,99,94,146,86,79,153,125,82,37,131,170,161,163,164,164,163,163,152,155,156,156,167,135,144,152,109,66,78,114,58,31,36,87,164,129,67,45,149,167,163,164,164,165,164,163,153,155,155,162,167,141,122,141,112,62,61,107,70,0,43,118,123,78,39,60,166,165,165,165,164,165,166,165,156,156,157,171,163,136,104,144,108,63,56,91,74,17,37,127,138,103,59,98,178,165,167,167,166,166,166,166,156,156,158,176,165,137,96,133,103,63,50,91,81,51,129,129,126,120,97,74,166,168,168,168,167,166,167,167,156,157,160,177,157,130,92,111,106,71,49,126,103,100,162,141,118,96,82,53,133,177,168,169,168,168,168,168,158,158,162,176,158,137,118,97,101,99,36,112,127,152,153,135,115,83,69,55,144,175,169,170,169,169,169,168,157,158,165,177,160,142,127,103,79,67,47,132,163,169,150,126,106,79,62,65,166,171,170,171,171,170,170,169,158,158,166,177,160,141,128,122,92,80,100,166,167,168,142,116,95,73,57,88,177,169,172,171,172,170,170,170,159,159,164,171,161,145,134,130,102,91,95,157,168,157,125,102,84,67,53,134,180,172,174,172,172,171,171,171,160,160,161,164,162,149,137,132,112,90,96,158,166,142,115,93,77,57,86,176,174,175,174,173,172,173,173,172,159,160,160,164,165,150,137,132,115,93,108,146,156,127,108,85,71,51,138,181,172,174,174,173,173,173,173,172,158,160,161,165,165,151,136,128,115,92,114,139,133,112,99,79,63,68,169,173,172,173,173,173,173,173,173,173,158,161,160,166,165,144,132,120,101,91,121,124,110,102,87,74,53,117,181,172,173,173,173,173,173,173,172,173,159,161,155,168,158,136,129,109,95,97,123,111,102,96,80,63,78,168,173,173,173,174,174,174,174,173,173,173,158,158,155,176,153,139,130,108,104,112,125,107,100,83,72,60,146,177,172,174,173,174,174,174,174,174,174,173,159,155,161,180,155,149,132,109,113,123,113,98,89,71,54,110,176,172,173,173,173,174,174,174,175,174,174,174,159,153,163,167,151,152,136,115,121,118,102,87,74,59,65,164,174,173,173,173,173,174,175,175,175,174,173,174,162,149,162,156,140,141,130,112,112,113,93,72,70,47,116,178,173,174,173,174,173,174,175,175,175,175,175,175,114,129,166,149,132,118,112,102,110,118,81,69,65,52,139,168,166,170,171,172,174,174,176,176,174,176,173,166
19,143,145,148,150,151,154,155,156,157,158,158,158,159,160,161,162,161,162,162,162,162,161,162,162,161,160,161,159,145,147,151,154,155,157,159,160,160,161,160,161,162,164,165,165,164,164,164,165,165,164,165,165,164,164,164,162,149,151,155,158,160,161,162,164,164,165,165,165,165,164,167,168,167,168,168,168,168,167,167,167,167,167,166,165,153,155,159,162,163,164,165,166,167,168,168,171,164,134,143,171,170,171,172,172,172,171,171,171,170,170,169,167,156,158,162,164,166,167,167,169,170,171,171,180,169,129,105,169,175,175,175,174,174,173,174,175,174,174,173,172,158,161,164,167,169,170,171,172,173,173,174,185,174,135,90,157,179,179,180,178,177,177,177,177,177,177,176,175,162,165,167,170,172,173,175,176,177,178,178,185,175,136,95,144,160,159,173,175,176,179,181,181,181,180,179,178,165,168,170,172,174,175,177,179,182,183,182,183,170,155,157,164,147,123,141,145,142,149,155,172,172,178,181,180,167,170,173,175,177,179,180,181,178,175,175,174,174,173,167,157,141,114,123,142,142,139,131,147,141,167,185,183,170,173,175,178,180,181,182,176,154,152,157,160,161,157,154,155,145,111,99,118,124,121,116,120,143,179,186,185,172,175,177,180,182,184,186,167,147,142,142,146,151,155,153,152,143,106,149,174,172,167,168,174,186,189,188,187,173,177,179,182,184,186,189,167,160,145,132,134,139,144,141,137,132,109,160,196,194,194,195,194,193,193,190,189,176,179,181,184,187,187,187,186,181,149,126,128,133,142,147,141,131,111,132,197,195,195,195,196,195,194,193,192,178,181,183,186,188,189,186,190,191,167,140,118,118,128,132,124,115,98,134,198,197,197,197,197,196,195,195,194,179,182,185,188,189,191,187,183,190,189,154,125,121,127,128,115,103,91,158,202,201,200,200,199,199,197,196,195,180,183,187,190,192,192,187,190,190,179,145,131,127,123,114,98,89,88,175,203,204,202,200,201,200,199,198,199,183,185,189,192,193,192,189,195,190,171,145,130,131,109,81,62,72,104,194,203,204,204,202,202,202,201,200,200,185,187,191,193,196,194,191,195,186,161,135,136,146,97,58,48,74,143,204,203,204,205,204,203,202,202,200,200,186,189,193,195,198,197,189,192,183,156,133,146,137,84,52,58,115,193,205,204,205,206,206,205,204,203,202,202,188,191,195,197,199,199,187,186,178,150,138,153,127,85,63,64,158,208,206,207,207,206,207,206,205,205,204,203,189,192,195,198,200,199,183,177,171,153,156,159,121,83,72,77,182,209,208,209,208,208,208,208,207,207,206,206,190,193,196,198,200,200,181,174,172,163,164,150,110,80,73,105,204,208,210,210,210,209,209,209,208,208,207,207,191,194,196,199,201,200,176,175,173,163,156,133,99,78,77,149,212,209,210,210,211,211,210,210,209,209,209,208,193,195,198,201,202,200,174,177,168,151,139,114,91,79,99,193,212,211,211,212,213,212,212,212,212,211,211,210,194,196,198,201,204,200,175,179,166,144,123,96,86,82,143,213,213,213,213,213,214,214,213,213,213,213,213,211,195,198,199,202,206,199,178,191,172,142,112,86,79,77,170,215,214,214,214,215,215,214,214,213,213,214,214,212,195,197,200,202,206,193,182,189,162,131,103,84,73,97,201,215,214,214,215,216,216,215,215,214,214,214,214,213,193,196,200,203,206,185,184,178,141,117,99,86,69,131,216,214,214,214,215,215,215,215,215,214,214,215,215,214
2,49,56,66,83,90,96,103,106,107,111,114,117,119,122,124,125,127,128,129,131,131,131,132,132,132,133,133,132,50,57,69,84,92,98,104,107,109,111,114,117,121,124,125,127,129,129,129,132,133,133,134,134,133,135,134,134,51,58,71,86,93,99,105,108,110,114,114,119,119,112,122,126,127,130,133,136,134,135,135,136,135,136,135,135,52,59,74,88,95,101,107,109,110,114,120,150,139,122,119,113,115,127,123,123,135,137,137,138,137,136,137,137,54,61,77,89,96,101,105,110,116,106,132,151,146,154,153,132,107,96,108,90,93,136,140,137,137,137,137,138,55,62,79,90,97,103,102,143,148,137,139,130,116,114,128,148,128,85,61,92,120,105,130,141,138,139,139,139,54,62,80,90,99,99,122,165,142,146,153,152,140,108,76,81,127,111,69,67,109,68,104,146,138,140,140,140,56,64,81,91,99,100,150,128,109,118,125,118,127,136,105,99,90,112,120,101,60,84,134,140,139,141,141,141,57,66,82,93,97,112,139,135,136,128,112,99,122,119,124,129,93,61,107,103,62,133,143,140,140,142,142,142,59,67,85,93,103,147,147,149,141,135,130,125,129,82,60,82,64,80,84,73,95,142,140,141,140,143,143,142,59,69,87,90,142,152,127,116,99,78,84,86,73,59,46,53,117,142,136,132,143,141,142,144,143,143,144,143,59,72,84,105,164,121,84,65,47,43,44,45,53,51,44,60,143,138,141,144,142,145,146,140,141,147,144,144,59,74,80,141,145,98,69,43,35,45,43,42,50,49,40,53,140,140,141,142,148,128,100,91,87,116,147,143,62,69,108,167,111,75,53,43,41,41,41,47,46,41,36,41,136,143,142,148,109,77,86,94,94,72,135,148,65,67,143,153,96,72,60,52,40,39,43,45,42,41,46,32,112,150,148,116,78,100,109,108,89,75,141,148,64,71,148,134,91,71,59,45,35,38,42,46,46,46,47,42,61,148,141,78,100,111,106,87,90,133,151,147,63,76,148,128,91,67,47,37,36,37,44,51,52,52,56,60,51,62,99,86,105,103,75,101,151,151,148,148,64,79,151,126,87,59,44,41,37,40,49,53,58,63,70,75,74,41,75,102,94,71,65,147,152,149,150,149,63,82,152,125,95,70,53,44,37,41,51,62,71,76,82,83,85,63,87,98,82,54,102,159,149,151,151,150,63,87,148,118,96,71,58,50,40,41,52,71,84,85,89,93,95,74,82,98,76,61,139,156,152,152,152,152,65,87,144,116,97,75,64,58,45,43,57,82,91,95,98,102,97,83,71,97,67,70,156,153,153,153,153,153,67,85,137,115,97,83,72,61,46,42,62,88,96,99,100,103,94,79,72,68,67,126,158,154,156,156,156,155,68,83,130,112,98,87,73,60,49,45,64,87,91,95,94,93,86,73,59,91,145,159,156,157,157,157,157,156,70,79,124,115,98,86,71,59,51,52,70,82,84,83,85,85,76,55,97,162,156,154,157,156,156,157,157,156,70,78,123,120,99,84,68,62,57,58,76,78,79,79,79,73,57,86,151,152,151,153,156,156,156,157,157,156,70,79,133,120,97,82,74,69,64,60,73,72,72,70,58,68,108,152,153,153,154,155,156,156,157,157,155,154,66,116,133,126,100,85,79,72,65,55,56,58,56,60,101,138,154,151,152,153,154,155,156,157,157,155,157,163,85,144,99,121,106,83,72,65,57,51,50,50,41,70,153,148,148,151,152,153,154,155,156,157,156,158,158,161
6,179,181,183,185,187,187,188,189,189,189,189,188,187,186,185,185,183,182,180,179,178,177,174,173,171,170,168,166,180,182,185,187,188,189,189,190,191,191,189,188,188,187,187,186,186,184,181,181,180,179,177,174,173,171,169,168,182,185,188,188,189,190,192,193,193,193,191,191,191,189,188,187,187,185,184,182,181,180,179,176,174,172,171,169,183,186,189,190,191,192,193,194,194,194,193,192,191,191,189,188,187,187,186,185,183,181,179,178,176,174,172,171,185,188,190,191,192,194,194,194,195,195,194,193,193,192,192,190,189,188,187,186,184,182,181,179,177,175,174,172,184,188,190,192,194,195,195,195,195,195,195,195,195,194,193,192,190,189,187,187,186,184,183,182,179,175,175,173,185,188,191,193,195,195,195,195,195,196,196,195,196,195,194,194,193,191,188,185,184,184,182,177,172,170,170,170,186,189,192,194,195,195,195,197,197,197,198,197,197,195,191,186,178,166,153,140,130,137,138,130,122,134,152,142,187,190,193,194,195,196,197,198,196,193,182,169,159,155,150,145,138,130,120,111,102,111,111,113,111,115,127,117,188,191,194,195,195,190,180,170,162,154,140,130,123,125,128,132,130,123,108,102,95,94,95,99,98,100,119,145,189,190,187,180,169,150,139,137,134,131,126,113,95,95,98,97,98,99,103,112,124,137,147,155,159,167,175,178,171,158,150,148,145,139,136,136,134,133,131,118,84,66,62,104,142,163,177,185,191,191,190,189,187,184,181,179,152,146,147,149,147,144,142,143,142,142,137,121,86,70,71,141,183,198,200,196,193,191,190,189,187,184,182,181,153,150,147,146,143,141,138,135,136,137,126,99,75,74,79,81,92,125,169,195,195,193,191,189,187,184,182,181,155,151,147,144,141,136,131,127,123,121,109,86,72,75,82,83,81,74,81,143,195,194,192,189,187,185,184,182,152,148,144,140,137,131,127,124,122,127,122,94,66,60,72,84,87,84,74,95,191,195,193,191,188,187,185,182,146,142,137,132,129,125,123,118,121,130,129,98,69,62,58,56,64,77,74,122,196,196,193,192,189,188,186,184,141,137,129,123,122,119,116,108,109,115,103,81,72,75,74,64,52,71,134,186,198,197,194,193,191,188,186,185,130,129,123,116,113,110,106,99,96,99,85,65,64,73,77,74,65,87,189,200,198,196,194,193,191,189,187,186,120,125,122,115,109,106,103,101,103,104,87,59,51,61,71,76,69,76,182,200,197,196,194,193,192,190,187,185,106,116,119,117,110,102,98,101,108,102,82,66,67,66,58,64,85,136,198,200,199,198,196,194,192,190,187,186,73,90,105,110,105,98,95,95,93,84,75,71,70,67,60,105,182,201,202,201,200,197,196,194,193,190,187,187,25,92,133,114,96,98,102,107,110,121,136,132,106,87,105,174,206,203,203,201,200,198,196,194,193,192,189,187,22,150,200,191,180,185,190,196,199,204,207,207,201,191,200,205,203,203,202,200,199,197,195,193,192,191,189,186,68,183,198,199,201,203,203,205,206,206,206,206,206,206,205,203,202,201,201,200,197,195,194,192,190,189,187,185,147,195,197,198,200,202,202,204,206,206,206,206,206,205,204,203,202,201,200,199,197,195,193,192,190,188,187,185,191,194,196,198,200,202,203,205,206,206,206,206,206,206,205,203,202,201,200,199,197,195,194,192,190,188,186,185,189,194,197,198,200,202,203,204,205,205,206,206,206,206,205,204,201,200,199,199,197,195,193,190,190,187,185,184
4,179,181,181,182,184,185,187,188,187,188,187,187,187,189,187,189,188,188,188,188,188,188,189,188,188,186,185,186,181,182,183,185,187,187,188,188,188,189,188,189,189,189,189,189,189,189,189,188,188,190,189,189,189,188,188,188,183,185,187,188,189,189,189,189,189,191,191,191,191,191,188,171,161,180,176,159,162,187,191,192,193,191,190,189,186,187,188,189,190,191,191,191,191,192,191,183,178,182,198,192,165,138,140,162,144,124,176,194,194,194,193,192,188,189,189,190,192,193,194,193,193,194,194,192,174,140,141,192,182,135,86,110,138,102,117,197,195,194,194,194,190,191,192,193,193,194,195,193,192,183,192,195,185,139,103,129,178,134,89,60,117,101,94,198,195,196,196,195,191,193,193,194,195,195,194,194,188,145,122,146,189,149,95,60,168,145,101,53,106,120,95,196,199,198,197,197,193,195,196,196,196,195,197,194,190,143,91,70,171,171,107,49,142,183,132,69,98,144,105,196,200,199,198,199,193,196,197,197,198,197,197,174,161,149,114,52,147,185,114,82,145,184,139,84,75,135,122,200,201,200,200,200,195,196,197,199,200,200,198,175,121,153,144,75,103,168,115,75,107,140,132,79,65,90,79,186,202,202,201,202,195,197,199,199,200,201,202,182,150,144,139,87,76,98,93,86,85,100,104,76,85,107,94,128,203,203,203,203,197,198,201,201,201,201,205,197,173,143,110,82,78,89,88,94,100,93,90,83,136,146,133,108,178,205,204,203,199,200,202,202,202,203,208,197,167,142,114,97,96,101,104,120,120,128,136,133,147,168,154,118,115,204,205,205,200,201,202,204,204,204,207,192,156,128,112,98,110,120,140,151,164,180,193,191,170,159,134,99,78,176,207,206,200,201,203,204,205,205,206,198,165,137,120,108,125,130,164,191,179,194,196,190,175,154,122,85,77,139,210,207,201,203,205,207,207,206,207,209,180,149,123,114,125,136,183,194,188,194,194,186,170,148,119,87,73,159,209,208,202,204,206,207,208,207,206,211,191,163,134,117,125,143,189,194,196,201,198,185,170,149,115,86,84,197,209,209,203,205,206,207,208,209,207,210,204,175,145,121,140,146,184,197,207,210,205,192,170,136,107,82,128,212,213,211,204,206,206,207,208,209,208,209,209,186,155,134,152,156,177,199,212,215,216,200,163,126,99,79,177,212,213,212,205,206,208,209,210,211,208,206,208,200,160,142,155,164,182,202,216,220,219,192,150,121,91,94,208,214,214,212,207,207,209,209,211,212,212,201,199,201,171,149,155,163,185,205,212,220,204,169,137,114,83,140,215,215,215,214,208,209,209,210,212,212,213,198,195,201,184,160,153,161,182,203,203,201,178,151,125,103,80,190,216,215,215,214,208,209,210,210,210,211,213,204,190,200,192,174,161,164,178,194,195,178,159,135,106,88,126,215,217,215,215,214,208,208,209,209,210,212,213,212,190,188,188,180,170,166,166,171,174,157,135,109,86,92,199,217,217,217,217,216,205,207,207,208,209,210,212,213,195,184,186,178,170,164,153,153,159,143,117,90,71,152,216,217,216,217,217,216,206,207,207,209,210,211,212,214,198,189,181,170,163,159,145,140,145,131,96,81,75,197,217,217,216,216,216,215,208,209,209,211,211,212,213,214,203,188,173,151,154,152,144,142,135,117,88,79,97,213,218,218,218,216,217,216,208,209,211,212,212,212,213,214,206,189,180,161,171,167,157,145,132,115,93,75,124,214,218,218,218,217,216,216
23,225,226,227,230,230,231,231,232,234,234,236,237,238,234,232,233,233,234,236,234,234,235,236,235,235,235,233,232,227,228,229,231,231,232,234,234,236,237,236,234,235,238,250,255,254,231,229,237,238,235,235,237,236,237,235,234,228,229,230,232,234,234,235,236,238,236,240,248,255,255,255,255,255,241,228,229,192,217,240,239,238,238,237,236,229,231,233,233,236,237,235,238,239,237,255,255,255,255,254,229,188,192,188,171,171,234,239,239,239,239,239,239,231,232,233,234,236,237,238,240,236,246,255,255,229,230,202,174,206,207,198,207,237,241,239,240,241,241,241,240,232,232,234,237,238,239,241,242,234,255,255,255,208,168,186,225,246,246,247,246,242,241,241,243,242,241,241,241,234,233,236,238,239,240,242,243,236,255,255,255,218,190,248,247,255,255,233,242,242,244,243,244,244,243,243,242,234,236,238,239,240,242,243,242,242,255,255,255,208,197,255,255,255,255,199,237,255,245,244,246,247,245,246,244,236,239,239,240,241,243,246,239,253,255,255,255,226,255,255,255,255,252,182,177,206,245,248,247,246,246,246,245,238,240,240,242,243,245,247,238,255,255,255,255,255,255,255,255,255,241,245,202,132,202,255,245,246,248,247,246,240,241,243,244,245,245,246,242,255,255,255,255,255,255,255,255,255,255,255,239,156,165,255,249,251,250,249,248,241,242,245,246,247,247,243,255,255,255,255,255,255,255,255,255,255,255,242,209,157,142,215,255,250,253,250,250,242,242,246,246,248,242,255,255,255,255,255,255,255,255,255,255,255,243,244,228,153,139,160,252,253,253,252,252,244,245,247,248,248,242,255,255,255,255,255,255,255,255,255,255,255,251,254,238,162,132,169,255,253,253,254,254,245,246,248,250,250,248,255,255,255,255,255,255,255,255,255,255,246,241,236,207,164,131,205,255,253,255,254,255,246,247,248,251,255,250,255,255,255,255,255,255,255,255,226,228,218,209,196,195,162,149,242,255,255,255,255,255,248,249,249,252,255,251,255,255,255,255,255,255,255,246,199,168,152,157,189,194,156,176,255,255,255,255,255,255,249,250,251,253,255,253,255,255,255,255,255,255,255,232,205,173,85,125,195,192,152,210,255,255,255,255,255,255,250,252,253,254,255,254,255,255,255,255,255,255,255,255,202,131,105,157,185,171,146,238,255,255,255,255,255,255,252,253,254,255,255,255,255,255,255,255,255,255,255,255,199,131,126,171,156,145,167,255,255,255,255,255,255,255,253,254,254,255,255,255,255,255,255,255,255,255,255,245,202,162,122,138,146,148,183,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,247,200,171,121,133,158,149,200,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,247,203,177,141,144,164,149,226,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,249,208,180,150,154,167,155,253,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,240,205,178,158,157,156,181,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,230,196,176,167,162,146,235,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,211,189,180,172,151,178,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,211,190,178,168,160,255,255,255,255,255,255,255,255,255,255
12,155,158,161,163,165,167,168,171,173,175,176,176,177,178,178,180,180,179,180,180,180,182,181,181,182,182,183,182,157,159,161,164,167,169,171,173,175,177,178,178,180,180,181,181,181,182,182,181,182,184,182,182,183,184,184,185,159,162,164,166,169,171,173,175,177,179,179,181,182,182,182,182,183,184,184,184,184,185,183,184,186,186,185,186,160,164,165,168,170,173,175,177,179,180,181,181,185,185,185,185,186,186,186,187,186,186,187,187,188,188,187,187,162,165,167,170,172,173,177,179,181,182,182,184,180,168,171,186,188,174,156,164,188,187,189,189,189,188,189,189,164,166,169,171,173,175,179,181,182,183,185,197,187,160,131,171,200,180,149,106,179,186,187,191,191,191,190,190,166,167,171,174,176,178,180,182,184,185,186,217,209,181,147,126,203,181,152,116,132,140,142,149,190,192,192,192,167,170,172,174,177,180,182,184,185,187,190,217,221,195,157,120,203,189,158,127,78,130,132,104,151,195,194,195,169,171,173,177,179,181,183,186,188,189,196,207,219,207,171,132,192,195,155,117,72,146,140,97,99,196,195,196,171,173,175,178,180,182,184,187,188,189,194,163,149,194,174,131,169,182,142,102,75,152,144,93,87,195,197,197,172,174,177,179,181,184,186,188,189,204,200,141,111,137,156,117,151,163,134,106,74,143,140,100,84,195,199,199,173,176,178,180,183,186,188,189,205,206,194,147,122,98,140,108,140,159,129,100,76,150,138,104,89,197,199,200,174,176,180,182,184,186,189,195,205,182,195,164,129,86,108,105,124,155,134,96,87,168,153,112,98,201,202,201,175,178,180,183,185,188,189,200,188,152,187,161,125,89,81,124,120,171,153,105,108,205,171,115,128,202,203,202,176,178,180,184,187,189,192,205,191,159,161,156,127,89,65,120,104,154,147,107,94,178,146,84,116,200,204,202,177,179,182,185,188,190,195,200,180,149,143,162,118,89,40,65,56,71,134,109,126,153,112,96,87,154,205,202,178,180,183,186,189,191,198,206,183,154,131,159,108,89,46,42,48,121,182,182,175,164,136,110,92,113,206,204,178,181,184,187,190,192,202,206,183,151,118,146,104,96,46,59,105,179,194,187,171,155,129,103,88,128,207,205,179,181,184,187,190,190,202,206,185,162,131,120,112,108,64,88,171,199,204,190,162,145,122,96,84,161,208,207,180,183,185,188,191,191,203,206,191,173,155,128,109,98,110,143,203,207,211,185,153,136,115,92,86,186,209,208,181,183,186,189,192,193,203,207,198,179,167,157,137,122,148,160,207,213,208,176,142,127,104,89,111,203,209,209,182,184,186,189,192,194,201,207,199,185,173,169,158,134,145,154,210,212,192,165,135,117,98,84,155,209,210,209,182,185,188,190,192,194,197,201,196,189,178,169,160,141,133,161,209,205,177,153,128,108,93,85,190,209,210,210,182,186,190,192,193,195,197,196,194,191,178,171,159,142,128,165,193,189,160,138,118,99,88,105,207,210,210,211,182,186,189,192,194,195,198,198,197,195,179,170,160,142,125,160,178,167,143,124,108,93,84,154,212,211,212,212,183,186,188,191,192,194,196,197,201,191,174,164,152,134,120,154,163,142,127,110,98,90,102,199,211,212,213,212,183,186,187,191,193,195,196,195,201,184,163,153,135,119,122,148,151,129,120,102,93,89,158,208,210,210,212,212,184,186,187,191,193,194,196,193,204,182,164,152,126,120,128,147,145,126,113,97,90,117,203,208,209,210,212,212
15,172,152,150,125,116,156,53,43,78,80,81,84,88,92,106,121,133,143,149,154,160,167,172,175,180,182,185,188,169,157,155,117,130,157,43,50,79,81,82,86,89,93,108,123,137,147,151,156,164,170,175,178,182,185,188,191,168,159,158,107,143,152,34,58,80,81,84,87,90,95,110,125,139,149,153,158,166,173,178,182,185,189,192,194,166,161,161,99,154,145,27,65,81,82,85,87,89,95,113,128,142,152,156,160,169,177,182,186,189,192,196,198,162,162,163,96,161,133,34,77,89,92,101,110,114,101,112,126,142,154,158,163,170,177,185,190,193,196,200,202,163,169,159,123,147,135,117,119,118,124,126,121,112,109,109,111,117,126,135,142,141,134,141,170,194,200,204,206,168,174,143,127,132,124,118,108,109,109,107,105,104,115,117,115,116,114,116,128,132,121,112,99,125,182,206,210,170,157,122,117,114,109,105,99,103,103,104,103,108,120,122,117,111,108,111,124,127,124,118,101,91,94,143,198,173,168,137,112,118,94,90,93,98,102,102,103,111,120,119,116,111,109,120,124,120,123,116,107,100,95,88,100,178,174,132,137,174,59,52,85,84,86,88,90,97,110,125,140,123,120,119,120,122,123,115,110,108,110,97,86,180,177,121,152,175,44,53,86,83,83,87,89,91,107,133,176,156,133,124,118,110,118,108,114,112,123,110,94,180,179,114,164,168,35,59,86,83,84,87,89,92,108,160,164,142,112,104,104,90,94,106,117,123,134,118,104,182,181,107,172,159,29,66,85,82,84,87,89,93,126,178,147,128,101,62,67,57,55,131,136,140,133,113,109,183,182,105,178,148,26,72,85,83,84,86,89,97,169,167,133,113,92,53,42,35,49,152,158,150,127,105,108,183,180,106,184,137,25,77,86,84,84,86,89,117,195,170,127,107,73,39,40,33,71,158,169,162,129,102,101,188,178,112,186,121,26,82,86,84,84,86,88,111,183,177,140,109,63,35,38,53,86,151,176,168,133,103,97,191,173,121,194,108,30,85,86,83,84,86,88,96,162,191,166,122,76,33,58,85,92,141,172,154,126,103,88,194,166,134,199,94,33,89,86,83,83,85,88,96,128,201,187,144,92,48,43,72,129,155,151,126,112,99,78,196,153,147,201,79,38,88,84,81,80,83,85,95,117,186,199,168,141,129,130,152,146,133,115,98,96,94,81,199,143,162,200,64,44,87,82,80,80,82,84,94,118,156,203,189,169,159,158,162,131,101,91,87,86,89,89,199,130,175,196,52,50,87,81,79,78,80,84,96,119,171,183,150,140,143,161,163,118,86,83,82,85,87,81,200,123,187,191,41,55,85,79,76,76,79,83,95,125,197,156,136,137,134,154,156,120,86,84,136,117,71,63,199,116,194,181,39,61,84,77,74,74,77,80,93,131,184,147,130,129,121,137,143,123,88,114,225,139,74,61,198,117,198,179,136,126,132,125,120,116,113,115,119,134,160,143,137,149,119,103,127,121,102,125,222,140,80,66,194,120,200,179,145,110,117,118,117,117,120,123,123,120,119,124,127,168,160,112,100,128,117,127,148,115,81,69,191,126,203,176,142,115,120,120,122,122,123,124,125,125,126,128,126,136,179,146,111,129,131,132,133,108,71,67,184,135,205,174,138,120,121,123,124,124,124,127,128,128,130,130,128,130,141,146,127,131,132,132,132,105,68,44,175,144,205,174,136,122,122,122,123,124,125,127,127,128,130,130,130,131,131,131,131,131,132,132,131,106,76,54
20,175,176,177,176,177,179,178,180,180,179,179,179,179,179,178,177,176,177,175,173,174,172,170,169,167,166,164,162,178,179,180,180,181,182,182,182,182,182,182,182,182,182,180,188,177,143,182,179,176,175,174,172,171,169,167,165,182,183,183,184,184,185,185,185,185,186,186,185,186,186,184,192,187,123,153,173,181,177,177,175,174,172,170,169,185,186,188,188,188,188,188,189,189,190,189,189,189,189,187,192,189,118,104,127,176,183,180,178,177,175,173,172,188,189,190,190,190,192,192,192,193,193,192,192,193,193,190,199,185,106,134,134,149,191,182,182,180,179,177,175,192,193,194,194,194,195,196,195,196,195,195,195,196,196,193,203,181,103,157,152,125,194,185,185,183,181,179,178,195,196,196,197,197,197,199,198,199,198,199,199,199,199,195,209,188,112,161,160,120,193,189,188,186,185,183,180,198,199,199,200,200,200,200,200,201,200,201,201,201,201,197,216,176,106,167,182,123,188,194,190,189,189,187,183,201,201,201,201,202,202,203,204,203,203,203,203,204,204,205,222,159,108,183,181,117,183,199,193,192,190,189,187,203,203,204,204,205,206,207,207,206,206,205,207,206,193,190,221,167,124,198,178,111,180,201,195,195,193,191,189,206,207,208,208,208,208,208,209,209,208,208,208,209,202,181,178,169,119,178,184,121,178,202,197,197,196,194,191,208,208,209,210,210,209,211,211,211,211,210,211,208,216,220,187,151,127,165,189,132,173,207,199,199,197,196,193,210,210,211,211,212,213,214,213,213,213,213,213,211,177,188,188,184,151,131,164,125,166,211,200,200,198,196,194,211,213,213,213,214,214,214,213,215,214,215,214,217,188,115,173,199,143,98,118,110,156,214,203,202,200,198,196,213,213,213,215,215,215,215,215,216,215,216,216,220,192,91,148,198,161,116,101,92,144,217,205,204,202,200,199,214,215,215,216,217,217,216,216,218,216,217,217,213,189,135,124,160,180,142,132,96,126,218,206,206,205,202,201,216,216,217,218,218,218,219,219,219,218,219,211,211,190,163,121,100,156,162,141,102,105,216,209,208,207,204,204,218,219,219,219,220,220,219,220,219,220,215,211,193,192,186,154,117,126,154,153,116,95,206,214,208,208,207,205,219,220,221,221,221,221,221,221,221,221,212,201,158,142,178,170,124,110,137,177,148,93,170,222,209,209,207,206,221,221,221,222,223,221,223,223,224,223,211,205,173,108,117,164,110,93,123,179,175,115,112,217,213,211,210,207,222,223,223,224,224,224,224,224,224,224,213,198,175,143,99,128,116,96,158,202,188,136,93,204,217,213,212,208,224,224,225,225,225,226,226,226,225,227,210,205,202,149,111,129,141,137,208,205,177,118,103,214,215,213,212,209,225,226,226,226,226,226,226,227,227,229,210,206,205,158,130,130,194,219,218,182,163,97,131,227,213,214,213,211,224,225,226,226,227,227,227,228,228,230,211,199,195,169,135,128,205,219,199,165,145,92,166,228,214,214,214,212,224,225,225,226,226,226,226,227,228,231,212,190,187,169,139,129,195,203,183,152,125,91,196,223,214,214,213,211,225,225,226,227,227,227,227,228,228,230,222,192,187,170,151,137,192,203,173,138,101,109,223,216,213,214,219,215,226,226,227,227,228,228,228,229,230,230,231,200,185,174,158,131,177,189,154,119,80,169,229,220,222,212,180,134,226,226,228,228,229,230,229,229,231,231,229,208,191,173,155,132,149,157,121,91,100,221,219,186,159,121,82,74
7,194,195,197,198,198,198,197,197,197,198,196,195,195,194,194,192,192,190,189,189,189,188,186,191,161,70,60,72,196,196,198,199,199,200,200,199,198,199,198,197,197,196,199,195,194,192,190,188,191,187,185,191,181,148,126,117,197,198,200,202,202,202,202,201,201,201,199,197,199,191,175,186,189,185,173,174,170,173,195,182,158,115,185,183,200,201,202,204,203,203,203,203,202,200,201,202,204,194,172,177,195,191,172,167,162,165,199,165,148,142,204,150,201,203,203,204,204,204,204,204,207,211,218,218,212,189,179,183,169,159,161,149,150,138,136,157,173,152,145,126,202,204,205,206,206,206,198,204,216,223,222,214,205,198,195,191,168,135,161,170,157,152,142,143,128,150,144,175,204,205,208,206,219,222,207,203,208,212,208,205,204,202,201,186,167,154,161,168,159,158,152,135,115,143,142,150,204,206,208,210,236,228,216,202,203,210,209,207,206,202,199,186,165,152,140,132,125,126,120,115,110,113,129,184,207,209,207,224,240,228,207,185,190,204,209,205,196,182,168,151,136,143,137,139,146,155,158,157,167,176,183,176,209,210,208,237,235,224,194,178,193,187,178,171,158,151,143,131,127,151,214,207,205,207,206,204,201,198,199,163,211,207,221,242,231,219,203,198,189,175,176,180,178,172,167,164,172,118,128,198,205,202,201,199,196,195,195,194,211,208,238,239,234,230,230,216,185,183,187,185,179,166,162,158,152,124,61,125,213,202,203,201,199,197,195,196,207,220,244,239,237,236,237,217,170,170,178,173,167,157,152,144,132,113,72,97,211,203,205,203,201,199,198,196,211,239,243,240,238,235,228,202,174,166,145,126,124,140,151,158,167,144,83,157,211,203,206,204,203,202,199,196,230,244,242,240,238,228,219,202,186,169,150,140,155,186,185,168,172,154,150,218,204,205,205,205,203,202,200,197,240,243,243,240,232,223,213,192,176,184,172,164,180,179,166,157,155,125,150,219,207,207,206,205,204,203,201,199,243,243,241,238,228,213,189,180,196,201,177,169,171,162,157,149,139,96,169,218,210,210,207,206,206,204,202,200,242,242,239,234,220,201,199,209,216,204,184,161,144,130,119,104,99,135,211,212,212,212,210,207,205,204,202,200,241,237,230,222,214,212,214,211,205,191,164,140,109,147,123,137,183,214,215,214,213,212,210,209,206,204,203,202,235,229,221,219,216,220,211,194,191,180,160,124,153,221,220,223,223,216,216,214,211,211,211,210,207,205,205,202,225,219,221,218,212,210,203,190,189,167,123,150,225,220,218,218,217,218,218,215,214,212,211,211,209,207,206,203,217,210,212,211,203,197,191,184,164,122,135,223,221,220,219,218,218,218,217,215,215,214,212,211,209,208,204,200,215,210,205,197,186,182,175,160,119,127,217,223,218,219,218,218,217,218,215,215,213,212,212,210,206,208,208,194,212,204,193,178,165,161,146,111,131,214,225,222,221,221,219,218,217,217,216,215,214,214,210,208,215,185,119,162,194,180,166,149,139,123,102,142,220,226,222,223,222,222,220,218,218,218,216,215,214,212,214,216,195,108,60,66,172,159,150,142,121,120,174,228,225,222,223,223,222,222,220,219,219,218,216,216,220,221,202,148,89,67,64,59,166,163,146,121,120,219,232,223,223,223,223,223,222,222,221,219,219,220,222,213,186,143,92,67,65,69,64,62,185,174,147,109,133,234,221,224,223,222,223,223,222,222,220,218,213,204,166,115,75,55,61,64,60,61,62,62
24,194,197,198,199,200,201,201,201,201,201,202,202,202,203,202,202,203,202,202,201,200,200,197,201,117,27,14,19,197,200,201,201,202,203,204,204,204,204,205,206,206,206,204,204,206,205,206,204,202,201,203,182,91,37,29,23,200,202,204,205,205,207,207,208,207,208,209,209,208,208,209,207,208,208,208,208,206,204,207,185,71,35,43,54,203,204,207,208,208,209,210,210,210,210,211,211,211,211,211,211,210,210,210,209,209,208,208,201,91,39,62,57,205,207,208,209,210,211,213,213,214,213,213,214,213,213,214,216,215,214,214,213,211,210,206,216,147,40,62,38,207,208,209,212,212,214,215,215,215,215,216,216,216,217,217,217,217,217,217,216,214,214,212,212,196,71,48,31,209,211,212,214,215,216,217,218,217,216,217,218,218,218,219,219,219,219,218,218,217,216,215,212,224,117,38,28,211,213,215,216,214,211,221,218,218,219,219,219,220,222,221,221,222,222,222,221,219,217,218,215,223,172,30,26,213,214,217,217,222,163,203,225,220,222,222,223,222,223,223,223,224,224,223,224,222,220,220,219,220,205,128,127,214,215,218,219,221,153,157,234,220,223,223,224,224,224,225,224,224,225,224,224,224,223,222,221,221,209,152,207,215,217,220,221,225,177,115,220,226,224,224,224,223,225,225,225,226,225,225,229,225,224,224,222,224,205,175,226,216,218,221,223,224,202,123,171,236,222,225,224,226,228,231,228,228,233,230,203,220,228,223,225,224,221,203,168,217,219,223,223,225,222,170,118,221,228,225,226,228,220,207,233,220,194,240,179,147,223,226,225,225,222,202,138,218,221,222,224,224,228,204,136,153,234,229,223,238,222,166,213,218,130,183,215,114,198,235,224,223,214,173,141,219,223,224,224,225,228,218,191,146,182,235,222,251,247,208,167,208,153,161,226,128,199,237,222,233,208,139,109,218,222,223,223,225,227,226,206,172,160,208,230,225,253,238,154,180,188,151,215,150,197,238,225,240,161,115,182,218,221,222,223,224,225,226,221,198,208,194,207,200,222,249,177,139,194,150,223,152,172,209,224,215,111,184,239,218,222,224,224,225,225,228,225,239,225,200,178,167,164,230,201,120,157,167,220,173,110,180,217,158,138,232,220,218,221,224,225,224,226,229,227,239,240,184,164,140,124,181,212,116,144,184,196,206,120,197,183,129,209,229,222,218,221,223,223,224,226,228,229,229,245,242,191,139,146,155,198,145,138,212,141,168,191,194,138,140,234,225,225,226,229,231,231,232,232,233,235,233,244,252,242,192,137,151,183,175,120,212,147,216,211,178,116,185,235,225,225,174,179,182,187,191,196,201,206,206,223,255,251,248,177,138,183,215,180,208,228,231,176,152,139,239,238,231,227,105,104,106,108,108,109,111,112,108,131,255,243,249,217,163,150,218,255,255,254,204,165,136,125,161,161,184,205,114,115,116,115,114,114,115,115,116,103,206,245,249,241,189,159,170,247,253,223,185,152,120,131,160,195,221,236,114,112,113,113,115,116,115,116,118,110,135,246,255,243,201,167,159,219,238,201,178,125,133,241,243,234,236,247,113,111,112,111,114,115,115,117,117,120,104,208,241,209,175,153,158,189,208,181,147,111,174,208,215,233,225,232,112,114,113,112,113,113,114,116,116,119,104,176,239,187,181,169,165,180,190,166,118,128,225,188,178,204,216,216,110,111,112,114,114,114,114,116,116,117,106,158,241,213,209,191,178,181,188,155,102,143,220,205,147,168,199,214
13,115,118,123,131,137,141,144,147,150,153,157,159,162,165,166,168,170,170,170,171,172,173,172,172,172,172,170,171,116,120,126,133,140,143,147,149,151,154,159,162,164,167,168,167,168,171,176,174,174,173,173,174,175,173,173,173,118,122,128,136,141,145,148,152,154,157,161,164,166,167,173,185,186,144,129,175,174,181,175,177,177,176,175,174,120,124,131,138,143,148,151,155,158,160,164,166,170,172,177,211,198,137,75,83,118,135,179,177,177,176,177,176,121,126,132,138,144,148,152,156,159,164,164,169,174,134,131,151,194,135,73,50,122,78,105,189,177,179,178,177,123,127,134,139,146,149,152,158,160,163,163,205,193,147,105,102,176,175,96,63,132,76,75,189,179,180,180,178,125,129,135,141,148,151,155,157,164,167,115,161,215,187,140,58,110,199,107,60,141,79,94,194,180,182,180,180,125,130,136,143,149,154,157,155,196,184,124,66,171,212,159,83,33,136,104,59,174,91,123,195,181,184,183,182,126,131,138,146,151,156,154,188,199,199,165,84,78,213,152,91,12,33,48,52,161,86,166,191,184,185,184,185,127,133,142,148,152,154,173,189,146,196,180,110,35,172,142,78,17,13,53,95,115,67,125,198,184,186,187,186,128,135,145,150,154,157,203,189,134,165,154,96,30,134,142,89,14,42,119,131,106,91,73,180,191,188,189,187,132,138,147,154,154,171,200,166,123,149,126,76,12,106,170,106,31,140,167,137,90,74,72,121,201,187,188,188,133,141,151,157,155,191,194,162,114,119,115,75,2,63,171,81,97,190,159,130,93,73,62,99,205,189,190,191,134,143,154,159,156,197,209,178,139,90,103,64,11,56,165,138,179,175,147,115,87,67,41,142,201,190,194,194,137,147,157,164,160,205,212,182,149,96,74,72,106,165,197,201,190,162,131,101,83,52,60,193,194,194,195,195,143,152,160,168,166,213,221,191,148,128,128,133,154,184,196,190,180,149,119,96,72,34,113,209,192,196,196,195,145,155,163,170,172,215,217,204,159,152,148,127,172,176,196,186,165,138,113,87,63,28,157,206,195,197,197,196,149,159,167,173,176,206,213,212,177,166,153,138,184,185,184,174,146,122,96,79,42,60,205,200,199,199,198,197,152,161,172,177,179,193,214,211,189,171,152,146,174,191,170,151,127,107,92,66,35,168,210,200,201,201,202,201,155,164,174,179,182,185,209,201,196,177,162,152,160,182,165,137,115,94,85,42,143,218,201,204,204,204,202,201,158,167,175,180,187,182,200,204,197,191,182,160,153,173,158,123,96,89,57,105,219,205,207,208,207,203,209,213,160,170,180,184,191,182,192,209,196,193,184,156,147,157,143,108,80,75,65,200,212,209,210,209,207,215,188,126,163,174,182,187,191,186,192,197,165,169,171,152,141,147,127,103,82,51,144,223,210,212,210,212,217,135,38,14,165,175,183,188,193,190,194,201,162,178,181,171,142,138,119,107,75,58,195,214,215,214,223,222,118,29,15,3,166,175,182,187,192,189,188,215,176,190,191,173,141,128,119,109,70,71,211,214,216,221,178,88,23,30,32,0,166,177,184,189,193,195,189,216,197,210,200,176,147,128,118,110,65,81,220,210,227,153,37,12,2,26,38,7,169,179,187,191,194,199,170,213,207,208,194,168,149,132,118,107,62,70,215,223,197,58,31,32,0,0,30,22,170,181,188,192,196,201,89,199,205,199,184,163,152,134,123,96,64,34,210,226,96,38,29,27,7,0,16,27
4,96,104,115,121,124,127,130,133,136,137,139,141,143,146,147,149,150,152,154,156,157,159,160,161,161,162,164,164,98,105,115,122,124,128,132,134,136,138,141,143,143,143,145,149,154,152,155,157,158,160,160,161,161,162,163,164,100,107,115,121,125,130,133,135,139,138,137,140,148,157,139,133,137,157,154,159,161,160,161,162,162,162,162,164,101,109,118,122,127,132,134,136,138,150,153,133,130,163,173,145,106,113,140,120,145,163,160,163,164,164,164,164,102,110,120,124,127,132,134,135,135,172,184,167,133,104,168,144,106,76,136,97,98,168,160,164,164,165,166,166,103,111,120,125,130,132,134,154,157,144,122,168,139,89,128,135,95,71,120,103,92,166,162,165,165,166,166,167,105,114,122,126,131,129,149,193,173,137,90,140,134,85,100,150,108,71,134,121,85,160,164,166,166,166,167,167,105,115,123,126,130,127,163,170,171,134,90,113,152,92,73,155,124,60,148,129,75,158,168,166,167,168,167,168,106,117,124,127,131,128,168,168,148,155,123,84,158,117,39,118,156,93,109,114,126,116,151,169,167,169,169,170,108,117,123,128,134,129,169,169,129,142,125,58,102,108,56,101,162,130,107,114,128,107,121,173,167,170,171,171,109,119,126,128,134,129,169,175,155,130,102,83,73,99,93,109,133,134,130,118,110,131,109,162,171,170,170,171,111,121,127,130,135,133,184,175,146,128,114,91,94,119,102,122,136,133,121,117,138,152,110,139,178,171,172,172,112,121,127,131,134,138,192,173,138,118,103,88,99,115,118,131,148,125,93,137,169,155,129,118,177,173,173,173,113,123,128,131,133,144,196,168,140,120,105,96,105,114,135,138,150,163,163,143,145,158,137,104,165,177,172,173,114,123,128,132,132,152,203,171,143,121,112,99,108,122,143,149,160,176,173,163,155,136,125,89,143,182,174,176,117,124,129,134,132,150,207,175,148,130,110,100,108,124,149,160,173,179,173,164,154,132,108,80,138,184,176,178,119,124,128,134,133,149,209,180,158,137,111,106,110,125,156,172,179,180,172,163,146,129,106,79,157,181,176,178,120,125,128,134,135,151,212,181,163,143,124,118,117,129,165,183,185,178,165,155,142,123,95,95,182,176,178,178,120,125,128,134,135,149,205,183,170,151,140,121,125,144,171,192,187,177,165,149,133,114,78,129,187,175,179,179,120,126,129,135,138,142,193,188,177,161,152,136,130,160,167,188,185,174,164,143,124,97,80,168,181,178,179,179,120,125,130,135,139,137,181,192,181,169,158,149,134,153,163,180,180,170,158,139,122,85,111,187,177,179,179,180,121,125,130,135,140,138,167,201,185,175,162,150,139,148,159,179,175,161,155,138,119,85,155,183,178,179,180,180,122,126,130,136,140,140,158,209,188,174,160,145,142,147,161,172,164,151,141,136,108,108,185,179,180,179,180,180,123,126,130,136,141,142,156,215,181,168,159,150,148,151,159,161,147,140,128,118,100,165,181,180,180,180,180,180,122,126,130,136,142,142,157,207,171,168,166,163,157,152,154,156,144,133,121,90,147,182,178,181,180,181,180,180,123,127,131,136,140,140,161,202,173,174,172,167,167,156,150,150,140,126,100,102,184,175,179,179,181,181,181,181,122,126,131,137,142,141,162,204,189,176,167,171,174,157,142,139,133,119,81,135,184,176,178,180,181,181,181,181,121,127,132,137,142,142,163,201,195,175,169,177,176,151,139,132,132,108,78,161,182,177,180,181,181,181,182,182
20,138,141,144,148,150,152,154,156,157,159,160,160,160,161,161,162,163,163,163,163,164,165,165,164,164,164,163,161,141,145,148,152,154,156,158,159,162,163,164,164,164,174,145,151,166,166,166,167,167,167,168,167,168,168,166,165,144,148,152,155,157,160,162,164,165,166,167,168,171,191,130,124,161,168,170,170,170,170,171,171,171,170,168,167,148,151,156,158,161,164,165,167,169,170,171,171,176,194,131,110,138,142,175,174,174,174,174,174,174,173,171,170,151,155,159,162,165,167,169,170,172,173,175,176,179,192,131,127,152,116,176,177,176,176,177,177,177,176,174,174,155,158,162,165,168,170,172,173,175,176,178,179,183,194,136,141,163,109,170,181,180,180,180,181,180,179,178,177,157,161,165,168,171,173,175,177,179,180,180,180,187,198,141,143,174,114,166,185,184,183,184,183,183,182,181,180,159,163,167,171,174,177,179,180,181,182,184,183,193,197,142,144,183,121,159,188,186,186,187,186,186,186,185,183,163,165,169,173,176,179,181,184,185,186,185,184,200,201,146,150,186,128,150,191,189,190,190,189,189,189,187,186,165,168,172,175,178,182,184,186,188,190,187,166,189,205,144,155,195,136,144,194,192,193,193,192,192,191,190,188,166,170,174,177,181,184,187,187,185,194,205,167,149,160,122,142,197,142,143,197,194,195,195,195,194,193,192,191,169,173,177,179,183,187,189,193,184,170,202,183,128,105,92,125,172,140,140,198,197,198,197,196,196,196,195,194,171,175,179,182,186,190,191,200,202,166,165,182,150,139,116,113,142,132,135,200,199,200,200,199,199,198,198,196,173,176,180,185,188,192,194,193,185,164,136,175,169,176,156,109,105,116,126,200,200,201,201,200,200,200,199,199,175,179,183,186,190,194,195,190,162,158,124,177,166,168,163,115,83,91,120,201,201,202,203,202,203,202,201,201,177,181,185,188,191,195,196,197,185,159,134,134,122,102,160,140,94,74,111,201,204,205,206,206,205,203,202,201,177,181,186,189,193,196,198,204,181,135,99,74,71,67,146,170,120,80,96,199,207,207,207,208,206,206,204,203,179,183,187,191,194,198,201,205,185,148,113,93,92,104,168,197,149,100,91,192,209,208,208,209,208,207,207,206,180,184,188,192,195,198,200,208,197,154,121,112,126,171,211,195,153,116,95,190,211,209,210,211,210,209,209,208,181,185,189,193,196,200,201,209,202,165,134,132,148,202,215,185,139,108,98,197,212,210,211,211,211,210,210,209,181,187,191,194,198,201,201,210,210,182,153,143,156,209,202,169,127,95,103,204,213,212,213,213,213,212,211,210,183,187,192,196,200,202,202,209,215,190,160,154,161,209,194,155,118,92,106,207,214,215,215,215,214,214,213,211,183,188,193,196,200,202,203,205,209,189,171,173,164,206,187,142,108,88,115,210,215,216,216,216,215,215,214,212,183,187,192,196,199,201,203,202,198,189,173,175,156,195,171,132,101,84,127,215,215,215,215,216,216,216,214,213,184,188,193,197,199,201,203,203,199,189,172,169,143,174,151,119,99,84,148,215,214,214,215,216,216,215,215,214,185,189,193,196,199,201,203,203,203,192,166,150,125,154,133,114,101,94,184,216,215,215,216,216,216,215,215,214,185,190,193,196,199,201,203,202,206,194,167,139,130,157,124,117,94,130,211,216,216,216,217,217,216,216,216,215,185,190,194,197,199,201,204,201,208,202,179,155,149,158,116,112,88,175,215,216,216,217,219,217,217,217,216,215
0,166,168,171,173,174,175,176,179,178,176,177,178,178,176,177,176,175,175,175,174,172,170,170,168,167,167,166,164,167,169,172,174,176,176,177,179,179,178,179,180,180,179,179,176,176,176,175,174,172,171,170,170,171,169,167,166,167,170,173,174,176,177,178,180,180,180,180,181,179,179,180,182,181,176,176,180,175,172,171,168,159,168,169,168,169,170,173,175,178,179,180,181,181,182,182,183,185,182,179,165,168,186,171,150,172,176,177,174,113,154,173,168,170,172,175,177,179,180,181,182,185,183,182,171,155,176,166,119,90,135,143,98,91,170,185,168,93,155,175,169,170,174,176,178,179,181,182,178,168,186,185,146,97,89,136,121,94,58,101,116,67,123,187,150,87,163,175,171,173,176,177,181,182,180,183,171,116,110,171,142,108,67,115,132,114,76,96,124,82,113,175,148,78,149,180,171,174,176,179,181,181,183,186,167,140,84,131,158,115,89,113,147,114,82,91,125,81,88,167,136,65,114,186,171,175,177,180,182,181,195,185,178,156,115,97,167,121,89,91,147,112,76,86,120,82,51,131,131,67,77,182,172,176,178,180,180,187,186,166,194,156,124,79,148,122,85,76,144,111,66,65,96,71,50,109,137,68,75,183,174,177,179,181,180,202,200,147,177,152,134,72,114,127,88,65,134,100,55,45,66,55,68,137,128,61,104,188,174,176,180,181,186,198,184,152,152,129,102,55,94,122,77,51,90,68,50,57,70,53,86,138,120,59,135,186,175,177,181,182,188,191,167,135,144,109,64,50,91,84,60,55,73,68,47,66,67,59,116,135,119,62,161,182,176,178,182,183,184,205,201,172,137,93,85,62,88,88,45,47,95,66,53,88,79,87,131,139,102,70,180,179,178,179,182,184,186,205,204,188,158,107,92,66,105,108,53,79,107,110,133,134,127,113,125,112,76,81,190,178,179,180,182,184,187,204,206,192,172,138,108,100,93,98,141,169,164,165,156,138,132,111,90,84,54,97,194,178,180,179,182,185,186,202,207,192,165,144,116,106,119,143,179,168,172,157,147,135,123,105,71,69,44,145,190,180,181,178,180,184,185,197,201,188,169,155,127,111,132,155,173,165,163,151,138,129,112,94,74,45,109,191,181,181,181,178,181,184,186,191,197,186,172,158,136,120,146,150,162,164,153,140,126,115,101,86,50,83,190,184,182,182,180,180,183,185,187,188,194,185,174,158,139,121,133,143,148,161,144,131,118,105,93,63,62,178,188,184,183,183,181,180,183,185,188,187,189,185,172,159,137,118,110,129,135,142,135,122,111,95,68,54,165,192,183,185,184,181,182,181,182,184,186,188,188,189,173,162,138,105,97,113,121,117,114,110,96,65,52,151,194,183,185,185,183,190,175,181,183,187,195,195,184,167,166,153,118,89,97,105,108,98,88,86,62,92,165,195,186,189,190,187,191,130,65,170,173,177,143,167,198,166,156,139,122,112,109,99,99,85,72,49,123,188,184,179,184,176,165,177,116,37,29,102,105,101,17,110,207,177,165,148,140,125,105,85,87,74,55,47,97,97,100,100,80,54,44,51,32,27,24,99,102,72,46,60,140,169,165,153,136,114,92,76,73,62,41,63,91,80,57,36,21,17,23,23,25,20,17,105,101,60,58,50,50,89,129,135,123,97,79,69,61,46,22,43,69,37,24,21,20,15,14,21,26,21,19,105,88,57,56,52,48,38,57,86,86,70,58,50,41,24,5,0,8,24,15,15,18,14,10,12,20,22,21
0,179,180,183,184,185,186,187,190,189,188,188,189,189,188,189,188,187,186,186,186,184,182,182,180,179,179,178,177,179,182,184,186,187,188,188,190,190,189,190,191,191,190,190,188,188,188,186,185,184,182,182,182,183,181,179,178,179,182,185,186,187,188,189,191,192,191,192,192,190,191,191,193,192,187,188,191,187,184,183,180,172,180,181,180,181,182,185,187,189,190,191,192,192,193,193,194,195,193,190,177,180,196,183,164,184,188,189,186,131,167,185,180,182,184,187,188,190,191,192,193,196,194,193,183,168,188,178,135,109,150,158,116,110,182,196,180,112,169,187,181,182,186,187,189,190,192,193,190,181,197,196,160,116,109,151,138,113,80,120,133,89,139,198,164,107,175,186,183,185,187,189,192,192,192,194,183,133,127,183,156,126,88,132,148,132,96,115,140,102,130,186,162,98,163,191,183,186,188,190,192,192,193,197,179,155,104,147,171,132,109,130,161,131,102,110,141,101,108,180,152,86,131,196,183,186,189,191,193,192,205,195,190,170,132,116,180,137,108,110,161,129,97,106,136,102,74,147,147,88,97,193,184,188,189,191,191,198,196,179,204,170,140,99,162,138,105,97,158,128,87,87,115,92,73,126,152,89,96,194,185,188,190,192,191,211,209,161,189,165,150,93,131,143,107,87,149,118,77,68,88,77,89,152,144,83,122,198,185,188,191,192,197,208,195,166,166,145,120,77,113,138,98,74,109,89,73,80,91,76,106,153,137,81,150,197,186,189,192,193,198,201,180,150,158,127,86,73,110,103,82,78,94,90,70,88,89,81,133,150,135,84,174,193,188,189,193,194,194,214,210,184,152,112,105,84,107,107,69,70,114,87,75,108,99,107,147,154,120,91,191,190,189,190,193,195,196,214,213,198,171,124,111,87,123,126,76,99,124,127,149,149,142,130,141,129,97,101,200,189,191,191,193,195,197,213,215,202,184,153,125,119,112,117,156,181,176,177,170,153,148,128,109,104,76,116,204,189,192,190,193,196,197,211,215,202,178,158,133,124,135,158,190,181,184,170,161,150,140,123,92,91,67,159,200,191,192,189,192,195,195,206,210,198,181,168,143,129,147,168,184,178,176,165,153,145,129,113,94,68,126,201,192,192,192,190,192,194,197,201,207,196,184,171,151,137,161,164,175,176,167,155,142,132,120,106,73,102,200,194,193,193,191,191,193,196,198,198,204,196,185,171,154,138,148,158,162,174,159,146,135,123,112,85,84,189,199,194,194,193,192,191,194,195,198,197,199,195,184,172,152,135,127,145,151,157,150,139,128,114,89,76,177,202,194,196,195,192,193,192,193,195,197,198,198,199,184,175,153,123,116,130,137,134,131,127,115,87,75,165,204,194,196,196,194,200,187,192,194,197,205,205,195,179,178,166,135,108,115,123,126,116,108,106,84,111,177,205,196,199,200,197,201,146,87,182,185,189,157,179,207,179,169,154,138,129,126,117,117,104,93,72,139,198,195,191,195,187,177,188,133,61,54,120,123,119,43,127,216,189,178,162,155,141,123,105,107,95,78,70,115,115,118,118,100,77,67,73,57,52,49,117,120,93,70,82,154,181,177,167,151,131,111,97,93,84,65,85,110,100,79,60,47,43,48,48,50,46,43,123,119,82,80,73,73,108,145,151,139,116,99,90,83,69,48,67,90,61,49,47,46,41,40,46,51,46,44,123,108,79,79,75,71,62,79,105,105,91,80,73,65,49,32,21,35,49,41,41,43,40,37,39,46,47,46
5,133,138,141,145,148,151,155,156,157,157,158,161,161,160,161,161,161,161,161,163,162,160,160,159,161,162,162,162,136,141,144,147,152,154,157,159,161,161,163,163,163,162,164,165,164,165,164,165,164,164,165,164,164,164,165,164,139,140,145,149,155,157,159,162,163,163,164,165,166,166,158,156,169,167,167,167,167,169,170,169,167,166,166,166,141,144,149,153,156,160,162,163,165,166,166,170,165,180,144,84,175,170,170,170,172,171,172,173,170,169,169,167,142,148,152,154,159,162,163,169,170,169,170,167,182,185,114,107,176,171,172,173,173,175,175,175,174,173,170,169,145,149,154,157,163,164,170,139,158,174,171,176,209,116,88,174,175,173,173,171,174,171,172,178,177,175,174,172,148,151,155,159,164,162,189,96,115,182,166,210,181,66,155,182,174,173,184,186,181,112,113,189,177,179,178,175,148,153,157,160,162,172,185,67,141,181,176,197,110,100,188,174,176,198,198,149,125,90,146,185,179,181,181,178,149,154,159,163,162,194,136,76,182,177,174,135,70,157,184,171,191,191,117,78,144,171,186,180,182,182,182,181,150,154,161,163,162,202,118,102,187,176,148,96,79,189,166,169,159,89,92,169,191,185,182,185,183,183,183,182,152,156,161,165,164,203,121,107,191,169,141,108,87,188,149,164,80,78,182,189,183,184,184,187,186,185,185,184,153,156,160,165,168,198,126,98,190,166,145,97,103,157,139,142,59,147,193,183,187,184,187,186,186,188,186,184,154,158,163,167,169,183,175,103,155,173,148,66,98,111,133,110,87,182,188,189,188,187,182,190,190,188,188,187,154,159,165,170,172,171,193,154,99,157,121,99,63,79,113,87,128,197,185,180,188,198,167,117,191,189,188,187,153,157,162,165,172,164,179,198,128,103,94,84,69,74,74,87,157,188,179,190,203,173,182,117,148,202,188,189,154,159,162,166,171,171,172,210,177,112,67,57,59,61,63,101,131,170,190,168,132,101,141,163,111,163,194,188,155,160,164,166,170,174,172,202,190,120,61,54,55,53,62,99,115,125,143,84,91,162,166,158,96,129,196,186,156,161,166,167,169,174,173,193,198,121,56,49,51,48,59,80,90,70,85,127,184,174,173,114,106,196,189,190,157,161,165,167,172,174,173,189,203,130,57,44,50,50,54,68,62,79,173,197,179,169,135,72,184,196,190,191,160,166,168,172,174,175,175,185,204,140,66,43,48,54,49,57,32,119,209,186,170,155,72,102,203,187,191,191,133,141,150,155,159,165,166,176,202,150,76,44,47,48,54,76,86,97,159,174,173,118,64,175,205,196,197,198,55,56,61,63,66,76,64,141,215,160,91,46,49,48,52,81,113,128,99,158,174,96,83,157,156,162,165,167,62,60,59,59,58,62,43,140,212,167,106,51,44,54,68,96,121,136,116,143,144,70,56,57,61,62,65,65,61,61,61,71,70,71,55,148,207,173,114,58,47,54,96,125,142,130,93,94,93,67,75,70,76,73,67,64,59,59,60,64,64,70,55,135,202,176,122,74,62,48,108,134,135,108,70,54,60,76,82,75,73,67,99,149,60,60,61,63,62,67,53,134,194,171,125,90,71,44,99,130,121,82,54,57,70,73,71,58,94,156,192,181,60,62,62,63,62,65,54,157,198,166,132,98,70,46,74,103,90,63,54,69,76,70,64,136,207,198,175,156,59,59,61,62,62,63,57,176,197,160,125,82,58,43,57,69,61,54,67,72,77,72,159,220,192,172,161,135
5,171,173,175,178,179,180,180,180,180,181,183,147,149,176,177,177,176,175,173,172,172,172,171,169,152,92,54,52,173,175,177,179,180,181,182,182,182,184,187,134,133,175,179,178,178,177,165,158,172,173,173,168,127,65,56,67,175,177,179,180,182,183,184,184,184,188,186,128,140,179,181,180,179,176,142,128,169,174,173,155,92,51,59,74,177,179,181,182,184,185,187,183,170,188,176,124,155,183,183,181,175,157,117,128,171,176,173,136,69,52,61,73,178,180,183,184,186,188,191,184,139,173,164,123,167,186,185,179,159,127,113,155,178,178,172,121,63,61,72,81,179,181,184,186,188,191,192,189,134,155,155,127,175,188,183,165,133,110,139,176,181,180,174,127,72,69,75,78,181,183,186,188,190,192,194,196,145,139,141,132,181,184,164,138,114,126,172,184,182,181,178,143,83,72,70,67,183,185,187,189,192,194,195,196,152,125,122,140,183,163,130,112,114,159,185,186,184,182,181,158,92,62,57,59,185,187,190,191,194,195,196,200,163,119,110,145,170,131,104,103,146,182,188,187,186,184,184,173,109,52,46,55,187,189,191,192,195,196,198,206,176,124,111,134,144,111,96,125,180,191,190,188,188,187,186,181,132,71,58,55,189,190,192,194,197,198,200,204,177,125,108,114,117,103,100,151,191,192,190,190,189,188,187,185,158,119,113,97,190,192,194,196,199,199,200,199,176,126,99,94,95,94,112,172,187,178,181,190,192,191,189,187,164,125,148,148,192,194,196,198,200,201,201,199,183,140,103,88,82,86,123,166,150,133,143,173,189,192,190,188,168,136,152,141,193,195,197,199,201,202,202,201,193,157,111,86,80,81,104,119,112,117,127,145,165,182,187,188,180,154,129,126,194,195,197,200,202,203,203,203,203,177,131,94,81,81,85,92,98,104,126,143,149,160,165,162,167,171,144,148,195,197,199,201,203,204,205,207,212,198,159,110,84,81,84,82,87,103,129,135,143,149,146,129,131,157,167,168,195,198,200,202,205,206,206,208,216,211,175,121,87,78,81,89,126,163,177,162,149,140,144,136,123,125,165,169,196,199,201,203,206,207,207,210,221,219,181,126,91,75,74,117,181,198,198,181,158,152,150,135,127,140,169,145,197,199,202,205,207,208,208,211,225,224,186,132,94,71,65,101,156,191,180,152,145,146,130,129,161,182,185,159,198,200,202,205,207,209,209,213,226,226,189,137,96,69,65,79,103,140,135,133,137,121,115,158,189,193,191,184,199,200,203,206,208,209,210,215,228,224,186,137,98,69,67,79,87,93,106,123,119,119,153,188,195,194,193,191,199,201,203,206,208,209,210,216,229,221,182,136,98,71,70,83,90,93,101,110,123,164,193,197,196,195,193,192,199,201,203,205,207,209,209,216,228,216,175,133,98,73,74,90,95,96,94,112,163,195,200,199,196,194,193,191,200,202,203,206,208,209,209,217,224,207,168,132,98,72,77,94,100,95,102,154,194,200,201,199,196,194,193,192,200,202,204,206,208,207,208,221,223,201,167,134,97,72,75,94,100,94,128,190,201,201,201,200,197,195,194,193,200,202,204,206,208,205,213,228,222,197,167,134,97,75,77,94,95,99,159,200,202,202,201,200,197,195,195,193,200,202,205,207,206,204,223,231,216,192,167,132,95,77,83,93,91,126,188,203,202,202,201,199,198,196,195,192,200,202,206,208,202,206,229,228,208,188,165,128,91,78,84,87,99,165,202,204,202,201,201,200,199,197,195,187
11,128,133,138,142,144,147,149,152,154,156,157,159,160,163,165,165,167,168,168,169,171,171,172,172,172,172,171,170,130,134,139,142,145,149,151,153,156,157,159,161,164,166,166,167,168,170,171,172,173,173,174,173,174,174,173,172,131,135,140,143,145,149,152,154,157,158,160,162,165,166,166,168,169,171,172,173,174,174,175,174,175,175,174,174,132,137,141,145,147,149,150,154,158,159,161,163,165,167,167,166,173,172,173,174,174,174,175,175,175,176,176,176,133,138,143,145,148,150,153,156,159,162,164,164,166,168,172,154,134,177,174,176,176,176,177,177,176,177,177,177,134,139,143,147,149,152,154,158,160,163,164,166,168,167,176,162,99,170,178,177,177,179,179,179,178,178,179,177,135,140,143,147,151,153,155,159,161,164,166,167,169,167,185,154,98,171,178,178,178,178,179,179,179,178,178,177,135,140,145,149,151,153,157,160,163,165,167,168,169,169,193,130,108,182,177,179,180,179,179,180,180,179,180,180,136,142,146,150,151,153,157,160,164,166,168,170,169,177,195,119,126,186,178,181,181,181,181,181,181,181,180,179,137,142,146,150,152,155,158,160,163,167,168,169,168,189,167,102,147,185,180,181,182,182,182,182,182,181,181,181,138,143,146,150,153,156,158,161,165,166,165,166,172,195,126,97,169,182,180,181,181,182,182,182,182,181,181,181,138,144,147,151,154,155,160,162,162,162,180,178,130,144,110,113,185,179,181,181,182,183,183,182,183,182,181,181,138,143,148,149,152,159,151,163,183,143,146,166,117,94,94,147,187,180,182,182,182,183,183,182,183,183,182,181,138,143,147,170,192,183,143,108,175,139,98,141,114,84,88,174,181,180,182,183,183,183,184,184,184,183,184,184,139,139,166,177,164,183,143,97,158,117,111,156,105,71,107,187,179,182,183,183,183,185,185,185,185,184,184,184,137,145,169,154,136,172,137,100,152,100,126,147,95,66,129,191,180,183,183,183,183,185,186,186,186,186,184,183,134,158,177,136,110,154,128,95,134,94,137,126,82,65,145,189,180,182,183,183,184,185,185,186,186,186,185,184,134,179,174,140,115,136,96,100,114,88,130,107,74,61,153,188,180,184,185,186,185,188,189,185,186,185,185,185,146,195,165,142,117,116,87,113,89,95,146,84,64,67,130,186,181,178,171,163,157,154,172,191,185,186,185,185,166,196,158,140,119,103,97,130,62,72,120,70,91,111,112,148,164,170,169,160,150,131,118,151,190,186,185,185,169,187,162,147,128,108,106,119,105,121,132,144,149,146,152,160,167,162,147,129,123,129,122,95,174,189,186,186,162,183,167,154,135,119,129,154,170,165,161,162,158,143,148,149,122,118,134,148,169,182,170,150,180,189,186,186,165,191,168,158,137,124,141,170,162,154,160,155,146,120,110,109,139,173,189,192,191,190,191,192,188,187,187,187,182,191,160,149,129,125,141,160,153,151,154,138,111,89,122,169,190,188,186,186,187,188,187,187,188,188,188,188,193,159,143,135,129,131,138,142,148,145,128,92,93,148,185,187,184,185,186,187,188,189,189,188,188,188,188,189,190,154,141,142,139,135,135,128,132,113,81,116,172,186,181,182,186,186,186,187,188,189,188,188,188,189,188,187,184,168,132,154,154,138,129,111,103,86,138,180,178,177,179,181,183,183,183,185,186,187,187,188,185,186,188,192,184,171,127,161,157,132,113,99,79,132,181,171,174,177,178,180,181,183,183,184,185,185,187,186,197,205,207,207
24,169,172,173,176,179,181,182,183,184,185,185,187,186,187,187,187,187,187,187,186,186,186,186,185,185,183,182,181,171,174,176,179,181,184,184,185,186,187,187,188,189,189,189,189,190,190,189,189,188,188,188,187,187,185,184,183,173,175,178,180,183,185,186,187,188,190,190,191,191,191,190,191,192,192,193,192,190,189,190,189,188,187,185,185,174,176,179,181,183,186,188,190,191,192,193,193,194,193,194,194,195,194,194,193,192,192,192,192,191,190,189,188,175,177,180,183,184,187,190,192,193,194,194,195,195,195,196,197,197,196,197,196,195,196,195,194,194,193,192,190,178,180,183,186,189,194,188,193,195,195,195,196,197,198,198,199,199,200,200,198,196,197,197,196,196,195,194,192,180,182,186,187,204,212,169,191,197,198,198,199,201,201,199,200,201,201,201,199,199,199,199,199,197,196,196,194,182,185,188,190,204,220,168,178,200,201,200,200,202,201,203,202,203,226,216,186,196,201,201,201,200,199,199,196,183,186,189,193,196,221,192,167,198,203,202,210,201,207,231,203,186,239,228,173,164,202,202,201,202,201,200,199,184,187,191,194,195,210,228,188,181,202,215,240,211,209,244,217,172,220,234,179,137,194,205,203,203,202,202,200,186,189,193,195,198,201,231,212,171,193,227,251,232,203,238,229,179,202,231,180,126,184,208,207,205,206,203,185,188,191,195,198,200,200,215,229,210,197,220,252,240,202,219,229,181,177,213,167,117,176,210,209,206,211,193,152,190,193,196,200,201,203,205,228,235,224,225,248,244,208,190,225,186,148,184,151,109,155,212,207,196,197,168,138,192,195,198,201,203,206,206,213,235,231,241,246,237,199,164,204,187,130,149,153,106,120,190,190,194,182,142,165,194,196,199,202,204,206,208,209,231,243,233,222,219,192,158,169,175,134,142,166,126,151,175,194,190,147,157,204,195,198,201,203,206,207,209,210,224,245,217,195,193,205,187,152,185,151,136,182,198,217,205,189,161,145,198,211,196,200,203,205,207,209,211,213,220,244,224,202,194,204,199,179,190,169,176,233,237,221,197,163,137,172,214,212,198,201,204,206,208,211,214,215,218,248,245,220,197,199,219,227,216,217,238,242,230,212,185,149,144,202,216,215,199,202,205,208,209,212,214,216,215,241,253,234,208,199,223,243,250,254,251,240,225,201,171,138,171,218,217,216,200,203,207,209,212,213,215,216,215,235,255,244,226,211,216,243,253,255,248,240,222,191,151,140,203,220,219,216,201,205,207,209,212,215,217,219,219,230,254,251,238,226,220,238,251,253,244,236,214,182,141,169,220,221,220,218,202,206,208,211,214,216,218,220,221,224,247,253,244,230,219,229,243,244,235,219,196,168,148,208,224,222,222,220,203,207,210,213,215,217,219,222,223,223,235,253,243,224,209,217,226,224,211,190,162,137,180,225,226,224,223,223,204,208,210,214,216,218,219,220,221,223,229,251,234,208,193,197,204,207,191,162,128,145,219,226,225,225,225,224,204,207,210,213,215,217,216,180,164,167,175,205,192,187,189,194,205,195,173,142,110,183,231,226,225,225,225,224,204,208,211,214,215,218,217,157,130,127,112,108,106,109,107,109,107,99,96,90,84,130,180,225,227,225,224,223,204,209,212,215,216,220,223,166,130,126,109,95,87,77,69,61,53,51,49,47,48,46,117,225,227,227,227,225,206,209,213,215,217,220,225,176,132,123,108,93,86,77,68,59,52,49,48,46,45,49,174,232,228,228,228,226
23,75,85,100,108,113,117,122,124,126,129,130,134,135,138,138,140,142,143,144,144,145,148,149,150,151,152,152,153,75,86,102,109,114,118,122,126,128,130,131,135,137,138,140,141,141,143,144,144,148,148,150,150,151,152,152,153,77,90,105,109,115,119,123,126,129,130,134,136,138,140,141,143,143,144,145,145,149,150,152,151,152,153,154,155,79,92,106,110,116,120,123,126,130,133,136,137,137,142,143,144,146,147,147,148,150,150,152,151,153,156,156,155,80,93,107,112,118,122,125,128,131,134,136,137,138,142,144,144,146,149,148,148,148,151,153,157,155,156,157,158,81,95,109,113,119,122,126,129,132,134,137,139,142,143,144,145,148,147,150,153,140,141,145,105,144,160,158,159,84,98,110,113,120,123,127,130,134,136,138,140,143,144,145,146,146,157,165,151,125,112,90,75,153,159,158,160,87,101,111,115,120,123,127,132,135,137,140,142,143,146,146,151,162,157,151,109,73,101,107,149,163,160,161,163,87,103,112,117,122,125,128,132,135,137,140,142,144,146,142,176,161,123,95,75,129,142,166,163,161,162,163,165,88,104,113,117,120,125,129,132,135,137,140,144,145,146,145,182,163,91,84,166,157,80,144,164,161,163,164,164,89,104,111,117,122,126,130,133,137,138,142,145,145,146,151,186,164,143,183,175,133,95,118,175,163,165,166,165,91,105,113,119,124,127,132,134,136,139,141,144,146,146,159,183,169,185,171,145,132,143,110,127,137,169,165,167,92,107,113,118,124,128,132,135,138,139,141,144,148,147,160,172,166,168,157,163,164,150,101,59,78,155,172,167,94,108,113,118,124,129,132,136,138,141,142,146,147,150,160,158,152,163,169,159,147,128,84,43,46,105,177,168,96,109,114,119,125,129,133,137,138,140,146,146,154,169,161,148,150,155,148,144,145,122,71,41,47,57,105,170,97,110,114,119,125,130,134,137,139,142,145,142,174,187,155,151,151,151,147,140,122,102,69,44,39,67,61,128,98,110,115,119,125,130,135,137,139,141,145,143,161,192,167,167,148,117,98,83,86,107,68,41,34,64,67,144,100,110,116,122,125,130,135,138,141,141,144,146,156,186,170,155,133,116,74,23,87,114,67,43,54,69,92,177,101,112,116,122,126,132,136,140,142,143,145,148,159,179,155,144,156,106,58,42,104,89,41,41,74,68,135,181,103,112,115,120,127,133,136,141,144,144,147,148,157,183,154,160,157,94,33,39,46,23,33,55,76,86,174,174,104,112,117,122,126,132,137,139,142,144,147,148,158,178,156,166,147,107,54,7,13,33,62,73,65,124,180,172,105,112,118,123,127,134,137,138,142,144,146,148,160,174,158,170,148,107,69,18,38,65,80,82,77,164,174,174,106,112,118,123,128,134,138,141,143,144,148,148,163,172,162,169,148,108,80,34,52,77,85,74,113,182,171,175,106,112,118,125,129,133,137,141,143,146,150,149,166,172,166,166,143,109,79,37,59,82,84,66,141,181,174,176,107,112,118,125,130,134,138,141,144,145,150,150,168,174,160,155,138,109,80,52,57,82,78,74,167,176,175,176,107,112,118,126,128,133,139,142,143,147,151,150,167,172,154,148,133,108,83,65,58,79,65,107,182,171,174,175,107,112,119,125,128,133,138,142,144,147,150,151,167,170,155,149,129,111,90,70,62,70,68,161,178,174,175,176,106,112,119,124,130,134,138,143,145,146,151,150,175,169,157,149,131,114,94,72,66,62,122,181,173,177,177,177
10,65,100,89,31,56,78,80,85,90,98,110,116,121,127,130,133,135,136,137,140,143,146,146,147,150,151,152,152,70,104,83,29,61,79,81,86,91,98,112,117,122,127,130,134,135,136,141,142,145,146,147,148,150,152,153,153,80,106,75,29,67,79,82,87,92,101,112,118,125,129,132,133,140,138,130,144,145,146,148,149,152,152,154,156,90,108,67,31,71,79,83,87,92,103,114,119,125,130,134,132,156,137,105,145,146,147,149,150,152,152,155,157,97,108,58,36,74,79,84,89,93,105,116,120,126,131,134,133,159,146,103,142,148,148,151,152,153,155,157,157,100,109,49,42,76,80,85,90,95,107,116,122,127,131,135,134,156,150,99,134,151,149,151,153,154,156,157,157,104,109,42,46,77,80,85,89,95,109,117,123,127,132,135,137,151,157,109,120,155,150,152,154,156,157,158,159,109,105,35,53,78,80,86,91,97,110,121,125,129,133,138,137,146,158,118,103,155,151,153,155,157,158,159,160,113,100,31,59,79,81,85,91,96,133,120,99,129,133,136,139,143,152,127,93,145,154,154,156,158,159,159,161,117,93,29,63,80,80,92,96,101,144,114,85,107,138,136,140,141,160,142,89,128,158,154,157,158,159,161,162,120,84,30,69,76,94,144,98,90,128,129,98,84,132,139,141,139,174,156,97,111,160,153,158,159,160,162,163,122,73,32,74,78,94,121,85,72,100,143,119,82,113,147,140,141,170,147,106,99,159,155,158,160,162,162,163,122,63,34,76,81,83,92,92,78,87,141,120,90,80,120,143,146,159,139,112,90,154,157,158,161,163,163,164,123,54,40,80,80,86,90,96,97,89,137,124,93,78,75,109,145,142,135,120,87,146,161,159,162,164,165,166,121,46,47,82,82,86,91,96,107,112,153,143,107,83,74,73,100,115,127,120,88,140,162,160,162,164,165,166,117,38,52,81,82,86,93,96,105,138,169,151,124,91,76,64,76,91,112,115,85,131,165,160,163,164,166,167,111,33,57,83,83,87,91,97,155,162,159,158,137,108,85,75,79,96,103,107,80,116,167,161,163,166,166,166,103,30,64,84,83,88,88,112,177,166,159,157,149,127,96,81,82,89,98,98,76,112,168,160,164,166,167,167,94,30,68,84,84,88,90,108,180,166,159,164,150,131,96,80,75,81,92,89,71,135,167,161,165,167,167,169,83,30,72,84,84,89,93,99,152,122,164,169,144,123,93,81,76,85,94,83,90,161,163,165,165,166,168,169,71,31,76,84,85,89,94,98,122,105,181,158,136,122,99,86,79,85,91,77,124,166,161,165,166,166,168,168,59,36,80,84,85,90,96,94,147,162,178,160,133,118,103,89,84,84,85,82,153,163,163,164,166,167,168,169,49,40,81,83,85,90,94,101,173,178,176,151,135,108,103,92,87,83,76,108,165,162,165,165,166,167,169,170,42,46,82,83,84,91,90,114,186,175,168,143,132,102,97,94,88,80,76,147,163,163,165,167,167,168,170,171,34,50,84,82,85,91,91,112,184,177,159,134,122,99,93,92,90,73,104,164,161,163,165,166,167,169,170,171,30,54,85,83,86,92,91,114,188,170,155,128,117,99,92,89,86,68,133,165,161,163,164,166,168,169,170,171,29,60,85,83,86,92,92,118,178,158,158,136,125,105,89,84,76,74,147,161,162,163,164,166,169,170,171,172,30,63,85,83,87,92,95,109,154,156,163,153,134,109,88,79,68,86,158,160,162,165,165,167,169,170,171,172
0,233,233,234,232,234,235,233,235,235,235,236,238,235,235,235,232,235,236,235,237,236,235,235,237,234,233,233,234,234,233,234,233,236,238,238,240,238,237,233,236,235,236,236,235,236,234,237,239,235,237,237,237,238,235,234,234,236,235,236,237,238,240,241,237,239,241,237,239,241,240,239,240,240,237,237,239,239,237,238,237,239,234,234,234,238,238,238,238,240,241,238,236,231,207,227,242,229,237,242,235,233,243,246,242,244,240,236,238,240,237,235,234,239,240,240,240,241,241,237,246,242,162,106,176,197,170,188,222,205,172,211,232,223,238,244,240,238,240,238,237,238,241,240,242,241,241,243,238,240,166,53,102,211,143,79,171,205,114,79,162,147,126,171,237,241,236,240,239,240,242,241,241,240,238,236,195,219,183,101,81,184,130,62,134,172,99,52,139,141,75,63,146,240,240,239,240,242,243,242,243,241,233,224,183,168,209,154,60,130,132,49,123,156,83,53,154,137,72,72,122,155,255,239,240,242,244,243,244,243,235,223,192,140,152,148,50,110,129,33,105,178,100,46,162,162,79,81,168,102,182,255,240,242,244,244,245,245,235,220,190,143,108,97,59,115,108,17,117,177,80,58,184,176,143,124,136,117,84,243,244,244,244,244,246,244,234,223,212,179,119,89,79,96,79,36,100,138,95,171,194,174,159,127,96,82,73,234,246,245,245,247,247,245,237,232,219,204,168,103,78,70,85,106,103,142,197,211,197,182,147,122,104,69,92,249,245,247,248,249,248,248,239,238,225,214,201,152,86,80,94,106,142,204,217,215,206,185,142,110,98,60,123,255,243,247,247,248,249,247,234,246,235,227,220,189,131,121,110,117,179,213,220,229,213,178,136,105,92,52,181,255,243,248,247,248,249,250,220,243,247,237,232,209,174,161,143,130,181,199,222,235,215,170,130,104,78,83,239,251,245,248,249,249,247,253,222,226,252,250,243,219,198,185,170,152,167,207,230,225,206,156,115,109,66,155,255,246,249,247,250,250,248,254,234,206,248,255,249,230,212,197,186,173,163,189,222,218,192,146,107,103,62,218,255,247,250,249,250,251,249,248,254,193,229,253,254,240,221,209,199,178,163,170,198,198,167,128,105,79,92,253,250,249,249,250,250,253,251,248,255,212,200,250,255,242,214,209,194,176,165,165,181,181,138,110,98,52,164,255,245,250,251,251,251,251,253,255,252,247,188,244,253,228,201,208,188,179,168,147,155,163,125,105,71,94,248,253,249,251,252,252,252,252,254,254,252,252,208,247,252,231,214,224,203,184,164,134,135,143,122,90,63,211,255,252,254,253,253,252,253,252,254,253,252,254,216,248,255,244,222,237,211,181,164,134,124,131,122,64,144,255,249,255,255,255,254,252,253,252,253,253,253,255,206,237,255,251,229,233,206,178,159,137,121,124,117,56,206,255,250,254,255,254,254,253,252,252,253,253,255,255,205,233,255,252,231,220,201,175,156,142,120,115,103,69,234,254,253,254,255,254,254,251,252,252,252,253,254,252,223,241,255,250,234,217,200,179,156,142,123,106,90,85,255,255,253,254,254,254,255,250,252,253,253,254,255,241,231,252,239,243,229,213,197,179,155,139,121,101,85,103,255,250,254,254,254,254,254,251,252,254,255,254,255,237,229,241,238,242,218,202,192,177,154,133,112,98,74,133,255,246,254,254,254,254,254,251,252,254,254,252,255,235,222,237,242,240,217,192,181,172,152,127,99,92,63,173,255,248,255,254,255,254,254
7,166,169,171,173,175,176,179,179,181,183,184,185,187,188,188,188,189,189,190,191,191,191,191,191,191,191,190,189,167,170,172,174,176,178,179,180,183,184,185,186,188,187,188,190,190,190,191,191,192,192,192,192,192,192,191,191,169,171,172,175,177,178,180,181,183,184,184,187,187,189,189,189,190,191,192,192,192,192,192,192,192,192,191,191,170,172,173,176,179,179,181,183,184,185,187,186,188,190,190,189,190,191,192,193,193,193,193,193,193,193,193,191,170,172,175,178,179,181,184,185,185,186,188,189,189,190,190,191,191,191,192,194,194,194,193,194,193,193,194,191,172,173,176,179,180,182,184,185,188,189,191,192,191,191,192,193,194,195,194,194,195,195,195,193,195,196,194,192,172,174,176,178,181,183,184,187,188,190,192,192,192,194,195,191,185,187,192,191,188,182,180,201,173,189,198,194,173,175,177,179,181,184,186,188,189,190,192,193,193,190,181,174,172,161,163,169,173,165,161,179,143,182,193,190,176,177,178,180,183,185,185,188,188,186,188,189,193,186,178,179,175,155,162,162,167,164,160,157,150,175,177,155,176,178,180,182,184,186,187,192,172,166,175,183,188,181,176,170,158,156,151,143,146,148,142,141,138,138,138,165,176,178,181,183,185,184,199,190,159,164,169,164,154,145,145,143,135,129,132,142,143,143,147,153,159,168,181,200,177,178,181,185,183,200,205,187,176,160,151,137,125,113,122,146,149,169,195,201,200,199,201,205,205,206,204,200,177,180,183,182,198,211,198,199,190,151,142,146,149,147,143,151,173,206,205,202,203,204,203,201,200,200,202,202,179,182,180,194,211,202,201,196,177,155,148,140,145,150,144,127,113,143,207,202,204,204,204,203,203,203,203,203,180,179,190,206,204,200,194,181,170,161,150,126,120,136,141,139,130,121,202,206,204,205,205,205,204,203,204,204,175,186,207,205,195,185,181,174,168,161,149,128,113,115,118,120,124,128,205,206,206,206,206,206,205,205,205,205,184,206,204,197,189,181,177,176,175,170,155,132,127,130,116,99,100,128,212,207,206,206,206,206,205,206,205,204,205,200,191,191,188,180,179,174,170,167,157,142,135,133,128,122,112,117,192,212,206,207,208,207,207,207,206,204,198,193,191,187,180,178,172,165,169,165,149,135,131,129,131,126,122,93,103,186,213,207,209,209,209,209,207,205,194,191,184,183,180,177,163,165,171,154,134,121,107,96,116,124,122,100,101,162,218,207,209,209,209,209,207,207,190,187,180,178,170,167,173,169,150,134,123,99,91,89,84,118,123,108,149,205,210,209,209,210,209,210,209,209,188,185,177,167,170,173,169,152,135,125,112,95,100,96,97,114,118,185,215,212,210,210,210,210,210,210,210,210,178,175,164,169,172,164,150,136,129,113,116,134,146,154,114,129,192,215,209,211,211,211,212,210,211,210,210,210,158,158,156,156,151,142,135,124,113,130,187,210,213,217,193,198,217,210,212,213,213,212,213,211,210,210,210,210,145,139,134,133,133,124,119,127,162,202,211,207,208,208,214,214,211,213,213,213,213,213,213,212,211,211,210,210,141,126,120,116,106,121,171,198,210,205,205,208,209,210,210,212,214,214,214,214,214,214,213,211,212,212,211,211,140,122,109,106,151,191,208,203,204,205,208,211,210,211,213,213,214,215,214,214,214,215,215,214,214,212,212,212,141,124,107,112,201,203,200,203,206,207,208,211,211,212,214,214,215,216,216,215,215,215,215,215,215,214,214,213
6,167,170,171,174,176,176,177,179,178,178,178,177,176,174,174,174,171,170,169,167,166,165,161,159,158,156,154,152,167,169,174,176,177,178,178,179,180,181,179,177,176,176,176,175,175,172,169,169,169,167,164,161,160,158,156,154,170,173,177,178,178,179,182,183,183,182,181,180,181,178,177,175,176,174,173,170,169,168,167,164,161,159,157,156,171,175,178,179,180,182,183,184,184,183,183,182,181,180,178,177,176,176,175,174,171,169,167,165,163,161,159,158,173,177,180,180,182,184,184,184,185,185,184,183,183,182,181,180,178,177,175,175,173,170,169,167,164,162,160,159,172,177,180,182,184,185,184,186,185,185,185,186,185,184,182,181,179,177,175,176,174,172,171,171,167,163,163,160,174,177,181,183,185,185,185,185,185,186,185,184,185,185,184,185,185,184,182,179,179,178,176,168,164,159,158,159,175,178,181,184,186,185,185,186,186,187,191,191,192,190,186,178,168,152,138,121,107,117,119,109,95,114,142,124,175,180,183,183,184,187,189,192,191,187,173,157,143,138,132,126,116,108,97,87,76,92,89,94,91,93,109,88,176,179,184,188,189,183,170,156,148,137,119,108,101,104,109,119,117,109,86,77,67,63,64,70,67,67,90,131,181,183,180,170,156,130,116,115,113,110,106,90,68,73,78,66,64,66,71,84,100,119,131,142,147,158,170,171,159,140,129,127,126,120,118,118,116,115,112,100,57,34,24,81,128,148,169,181,190,189,185,183,180,174,169,166,134,126,130,135,132,129,126,128,127,127,123,107,61,43,37,138,191,204,197,185,181,178,177,177,175,172,170,169,138,135,131,129,126,123,120,116,118,122,108,75,44,47,56,44,55,101,164,193,184,183,181,178,176,173,170,169,141,135,131,127,124,118,112,107,102,100,85,58,44,51,59,60,54,38,39,129,192,182,181,178,176,174,173,171,137,132,127,122,120,112,108,105,101,109,106,72,36,28,46,65,67,65,46,55,190,183,183,181,177,175,174,170,130,124,120,113,109,105,104,98,101,115,117,77,40,32,26,22,35,54,32,96,197,184,183,182,178,177,175,172,125,120,109,102,103,99,96,85,88,97,81,54,46,51,51,37,16,39,118,186,190,187,184,183,180,177,175,173,111,110,103,95,91,88,84,74,70,76,58,34,36,49,53,50,36,59,198,192,188,186,184,182,181,178,176,174,100,107,102,93,86,84,81,77,81,85,65,27,16,31,46,54,41,29,174,193,186,186,184,183,182,180,175,174,85,100,103,99,90,79,75,80,91,85,59,39,43,41,28,31,47,118,197,189,190,188,186,184,182,179,175,174,48,62,77,88,84,75,70,69,66,51,38,35,38,42,19,74,187,200,193,192,190,187,186,184,182,179,176,176,0,63,121,82,61,66,71,79,80,96,119,116,77,51,71,172,205,191,194,193,191,189,186,184,183,182,179,175,0,145,209,187,173,181,188,195,199,206,209,209,202,188,203,200,192,194,193,191,189,187,185,183,182,180,178,174,24,185,186,189,195,196,195,196,197,195,194,195,197,199,195,192,193,192,192,190,187,185,183,181,179,178,176,173,130,193,185,188,190,192,193,195,198,198,198,198,197,196,195,194,193,192,191,190,188,185,183,181,180,178,176,174,185,182,187,189,191,192,195,196,198,198,198,198,198,198,196,194,193,191,190,190,187,185,184,182,179,176,175,174,177,184,187,189,190,193,194,196,196,197,197,197,197,197,197,195,192,191,190,189,187,185,183,179,179,176,174,173
7,130,139,145,145,150,157,163,166,169,171,173,176,177,180,182,183,184,185,185,186,185,185,186,185,183,184,182,181,131,140,145,146,151,157,163,167,170,173,175,177,180,182,183,184,185,188,187,188,187,188,189,187,186,185,184,183,133,141,145,148,152,159,163,167,172,174,176,178,181,183,184,186,188,189,189,189,189,189,189,188,188,188,186,184,133,141,145,148,153,160,164,168,173,175,177,180,182,185,186,188,189,190,190,190,189,191,191,190,189,189,188,186,135,142,146,148,154,160,165,168,172,176,179,182,184,186,188,189,189,191,190,190,192,192,191,191,192,190,189,188,137,144,149,151,156,161,166,170,174,176,180,183,186,189,189,191,191,193,193,193,193,193,192,192,193,191,191,188,138,145,151,152,157,163,168,172,175,178,184,185,187,190,192,194,193,195,195,195,195,194,194,193,194,192,192,190,138,146,150,153,159,162,165,173,175,178,181,182,183,189,191,191,193,196,196,196,198,195,194,194,195,194,193,192,137,147,152,152,155,169,193,195,183,186,197,196,196,192,183,178,188,183,185,185,190,197,199,197,196,196,195,194,140,148,147,155,187,211,216,204,180,171,188,200,205,200,180,181,202,186,174,164,149,176,185,196,197,197,196,197,136,147,177,209,215,211,214,202,171,163,173,185,191,189,165,164,184,172,164,157,146,162,147,198,204,199,198,198,165,204,217,214,210,213,212,188,165,164,179,203,208,212,193,188,182,174,188,179,162,156,162,174,185,200,200,198,220,219,214,221,214,214,218,201,142,129,136,162,167,171,176,182,180,181,188,192,181,176,180,161,175,172,196,199,221,221,220,221,216,221,229,194,127,105,115,102,85,107,130,142,146,148,148,153,156,156,158,151,165,154,198,202,226,222,220,222,220,222,217,158,113,108,110,112,88,64,82,187,190,194,191,187,182,174,174,171,170,189,202,200,221,219,217,219,217,221,206,149,99,102,122,123,118,95,93,203,204,204,205,207,208,207,208,207,206,203,201,200,226,224,222,225,227,233,213,137,97,83,75,117,140,113,87,174,208,202,204,203,203,202,201,201,201,201,201,200,223,222,218,211,213,214,171,128,101,100,70,80,115,115,111,186,207,202,204,205,206,205,205,205,202,203,203,202,209,207,194,185,193,178,144,126,117,104,97,88,123,153,179,202,203,204,205,206,206,207,206,206,204,204,203,203,192,182,177,173,176,151,120,114,109,112,95,93,185,205,203,201,202,205,205,206,206,208,206,205,206,206,204,203,163,164,154,138,127,125,144,154,131,129,130,155,198,197,199,202,205,205,206,206,205,206,207,206,205,205,205,203,130,127,117,118,137,163,178,185,188,187,193,196,196,198,201,203,204,206,205,206,206,206,207,205,203,203,203,203,104,97,98,121,132,127,126,127,127,127,127,127,128,130,132,130,131,132,133,130,128,128,127,125,124,123,123,121,79,97,105,100,105,102,100,98,98,98,98,98,100,101,98,96,95,97,98,99,100,99,99,97,93,93,93,92,97,104,109,109,110,111,110,109,111,111,112,110,110,110,108,113,113,108,107,107,107,107,106,104,101,103,103,93,100,103,110,110,110,111,109,107,108,109,109,107,107,106,106,113,114,112,113,107,104,104,103,103,104,100,94,134,101,99,110,111,111,110,109,109,110,110,109,109,110,108,108,107,105,106,108,105,105,104,103,105,99,110,172,200,99,93,106,113,112,112,112,111,112,112,112,111,111,111,111,109,107,107,107,106,107,104,102,101,104,195,188,166
6,210,211,211,210,210,211,211,211,211,210,209,209,208,208,207,208,206,206,205,204,203,202,203,201,200,200,198,197,212,213,212,212,212,213,212,212,212,211,210,210,209,210,209,208,207,208,206,206,204,204,203,203,202,200,200,198,214,214,215,214,214,214,214,214,213,212,212,212,212,211,210,209,208,209,208,207,206,205,204,203,202,201,201,199,215,216,216,216,215,215,215,214,214,215,214,213,212,211,211,210,210,209,208,207,207,206,205,204,202,202,201,199,216,217,217,216,217,217,216,216,215,215,215,215,215,213,213,213,212,210,209,209,207,207,206,204,204,203,202,201,216,219,219,218,219,219,218,218,217,216,215,215,216,213,213,214,213,211,210,210,209,208,207,206,205,204,202,202,218,219,221,221,221,221,220,220,219,217,216,215,216,215,215,215,214,213,212,211,211,210,209,210,207,205,203,203,219,221,222,221,222,221,221,221,221,223,222,221,218,218,219,219,218,215,213,211,208,205,198,194,204,204,206,203,221,223,222,222,222,221,223,221,217,207,203,207,208,198,190,185,179,189,190,189,181,183,164,176,216,192,193,206,222,223,224,225,224,224,216,202,194,178,166,161,163,186,177,166,157,166,186,188,178,177,170,170,198,162,190,209,223,225,228,226,216,205,183,179,186,184,183,164,117,149,171,168,140,157,159,155,147,131,133,141,156,182,208,206,226,224,214,201,191,184,179,174,179,186,180,138,106,94,108,111,112,128,136,150,154,172,184,195,206,212,209,207,212,202,191,186,180,176,174,166,171,178,168,134,101,92,98,125,156,189,212,216,219,222,220,217,215,211,210,209,204,199,191,183,177,177,176,172,172,174,177,160,114,83,154,227,224,227,221,220,217,217,217,215,214,213,211,209,212,200,191,184,180,178,178,173,172,175,178,158,115,91,110,225,223,221,221,220,219,219,219,216,214,214,213,211,201,194,191,185,179,179,177,179,174,176,174,162,117,98,84,186,232,222,223,222,221,220,219,217,215,215,214,212,193,191,189,182,181,179,179,180,181,183,182,171,127,97,86,139,235,222,223,222,221,221,219,218,217,215,214,213,202,183,181,184,189,185,180,174,169,171,172,155,122,98,92,96,224,227,223,223,222,221,221,219,217,215,215,214,196,177,178,188,191,191,178,173,167,164,157,138,120,105,87,127,230,226,225,224,224,222,222,220,219,217,215,216,174,167,180,185,183,181,174,165,158,164,155,126,121,113,87,205,234,225,225,225,225,225,223,221,220,219,216,215,137,152,166,179,173,164,156,147,139,138,126,117,116,120,90,210,231,226,226,225,224,223,222,221,219,218,217,214,84,107,131,158,155,143,134,128,121,102,88,103,124,123,82,195,235,225,226,225,224,223,222,221,219,217,216,214,80,62,67,93,115,117,104,100,101,93,92,115,120,108,100,215,230,227,227,225,225,223,222,221,220,218,216,215,83,71,49,55,55,74,124,151,131,104,102,123,135,184,215,230,227,228,226,226,225,225,222,222,222,219,216,216,79,78,52,57,44,156,247,240,231,200,182,194,224,237,234,229,229,228,226,226,225,225,223,222,221,219,217,215,77,79,55,45,75,235,237,233,236,240,241,239,234,230,230,230,229,228,227,226,225,223,223,222,223,226,228,226,82,75,52,44,173,246,232,234,235,234,232,232,232,232,232,231,229,228,228,230,231,232,228,223,216,188,162,164,83,62,44,107,248,233,235,234,235,234,233,233,232,231,232,230,230,230,228,205,174,161,145,126,107,82,67,66
15,64,69,72,73,78,79,84,98,109,118,126,131,138,140,143,146,149,153,157,162,164,165,168,170,172,174,174,176,64,68,66,65,72,76,85,98,109,118,127,133,139,141,144,146,151,155,157,162,164,167,170,174,176,174,175,176,67,59,99,138,90,75,81,97,111,121,126,134,140,141,143,146,151,155,157,162,165,167,170,174,175,173,175,177,70,49,143,186,157,131,110,100,108,113,128,138,142,144,143,146,151,156,160,163,168,169,171,172,174,174,178,179,67,59,93,157,145,141,150,138,133,117,115,117,126,132,140,148,156,161,162,164,166,170,171,173,176,176,179,181,65,70,63,91,103,98,122,134,140,146,136,123,122,119,124,125,126,136,147,159,170,168,172,173,177,179,180,182,65,66,70,72,76,80,95,101,101,133,138,135,128,129,139,143,126,105,95,84,151,176,172,177,179,179,180,183,66,68,72,75,75,78,89,97,89,107,118,116,110,106,135,154,155,125,112,76,65,163,179,176,179,181,183,185,66,67,69,73,75,77,91,104,111,118,118,117,109,103,145,149,154,134,134,111,76,84,173,178,179,183,185,187,64,66,68,71,75,77,91,102,110,122,133,136,127,147,167,150,145,158,144,133,114,73,89,180,180,184,186,187,64,65,68,71,74,80,89,101,120,122,127,137,148,179,171,120,144,162,138,158,134,99,55,100,188,180,186,187,64,66,66,71,76,76,94,151,132,134,128,116,155,153,120,96,127,155,130,173,145,102,78,47,130,191,184,188,64,65,68,71,75,72,108,162,150,166,170,137,101,111,82,41,116,132,130,172,147,107,83,63,55,152,192,189,64,65,70,72,74,75,92,119,129,171,182,140,111,126,117,90,110,119,139,147,137,110,87,67,58,59,162,194,63,64,66,68,71,77,88,103,124,145,142,118,131,137,126,132,134,126,99,90,111,99,83,63,61,45,77,181,63,64,64,65,69,75,89,103,112,121,112,101,128,139,134,141,150,133,91,62,77,80,74,72,62,61,47,94,61,64,64,66,68,73,88,101,110,118,187,116,81,94,133,140,143,126,84,65,72,70,70,75,69,63,61,47,59,59,61,67,66,72,86,101,110,115,200,147,74,12,55,117,133,119,84,71,74,71,73,78,73,67,64,55,59,59,60,64,64,72,88,99,110,115,180,137,61,37,27,49,112,85,69,69,76,77,75,77,73,71,67,58,58,59,61,63,63,72,87,99,113,115,180,136,50,88,49,45,88,103,79,77,83,86,81,76,72,70,67,64,56,57,59,62,62,70,84,97,110,112,170,131,45,139,59,110,70,115,110,99,90,81,78,74,68,67,65,67,55,57,57,61,61,68,82,95,111,104,189,129,33,151,117,75,139,103,89,75,77,73,72,72,71,72,70,66,54,53,51,55,53,63,79,92,106,106,180,108,38,139,162,39,150,134,66,96,56,53,58,56,57,62,67,71,110,105,103,106,105,109,111,114,119,119,133,66,83,149,123,71,146,152,142,159,91,41,41,40,42,45,55,64,81,80,81,84,89,87,83,81,77,76,79,64,82,89,84,82,91,90,92,91,90,60,47,57,66,71,74,76,79,80,79,79,78,77,79,77,71,74,77,83,81,78,80,82,79,78,79,78,79,80,80,89,82,92,89,95,83,81,82,85,82,82,83,83,82,82,87,84,83,86,89,86,84,85,86,87,89,89,83,119,102,103,95,106,86,83,82,83,83,84,86,86,87,87,86,83,83,85,86,86,86,86,85,84,85,90,77,120,141,119,117,118
11,115,119,126,132,137,140,145,148,151,153,155,158,172,146,158,159,158,159,158,158,158,157,156,155,144,160,169,180,118,124,131,137,141,145,150,153,157,159,159,162,185,116,157,162,161,161,160,159,158,157,156,155,151,172,179,181,122,127,136,144,148,152,156,160,162,165,165,169,200,113,143,166,165,165,164,163,162,161,159,158,168,130,180,183,127,132,142,149,154,157,162,166,169,172,172,177,204,112,131,173,171,170,169,168,167,166,164,162,165,166,185,184,131,137,147,155,160,164,169,174,176,178,179,184,200,108,133,178,177,176,175,174,173,172,170,167,165,167,146,178,134,140,152,160,166,170,175,179,182,185,186,194,203,111,140,185,183,183,182,181,179,177,174,171,170,166,148,180,137,145,157,165,171,176,181,185,188,191,192,212,197,98,153,191,190,189,189,187,185,182,180,178,175,173,168,187,141,150,163,170,176,181,186,191,194,197,198,226,193,94,171,197,196,195,195,193,191,189,186,183,181,178,175,195,145,154,167,175,181,186,191,196,199,201,204,207,136,94,179,202,201,199,199,199,197,195,193,189,186,184,181,199,149,158,170,179,185,191,196,200,204,204,224,198,112,88,185,206,205,204,204,204,202,200,198,195,191,188,185,200,152,161,174,183,189,194,200,204,210,206,151,164,133,98,194,210,209,208,208,207,206,204,201,199,196,192,184,200,154,165,178,186,192,198,203,210,235,200,111,99,144,106,188,214,213,212,212,210,209,208,206,203,201,174,106,198,157,168,181,190,195,201,208,173,172,176,134,95,134,110,167,215,215,215,215,214,212,210,209,205,203,122,71,125,159,171,183,192,199,216,223,163,111,119,154,107,108,115,135,218,218,219,218,217,212,200,187,182,173,84,69,65,161,173,186,196,218,219,191,182,148,101,130,110,91,124,106,212,222,221,217,209,207,188,168,161,136,82,67,64,163,176,189,218,219,162,127,155,171,114,91,99,81,142,129,187,220,216,215,212,206,179,149,129,104,70,61,62,165,177,191,226,198,142,107,89,160,116,83,101,72,137,151,120,178,215,219,198,163,127,87,59,56,55,52,58,166,179,190,218,178,123,89,70,131,120,89,111,75,108,144,123,180,205,187,140,99,72,50,48,48,46,51,48,167,180,190,209,174,127,100,81,97,127,100,130,103,153,161,141,166,162,118,73,51,59,55,40,42,44,53,26,166,179,190,212,188,143,111,90,91,109,121,154,144,191,159,124,130,95,51,54,43,46,57,49,35,36,37,32,167,182,192,216,196,155,128,98,101,114,167,209,210,183,141,113,86,55,39,41,50,41,46,52,42,35,32,34,168,181,192,215,203,170,138,106,116,124,193,217,199,165,124,93,35,38,50,34,46,47,39,42,47,34,31,32,160,171,182,207,202,177,145,119,126,128,186,204,176,140,110,78,34,23,48,45,36,46,43,36,38,40,27,31,116,118,120,159,196,184,152,134,132,131,166,190,164,126,97,56,46,16,37,50,40,38,43,36,31,38,29,25,115,116,117,130,190,186,159,145,135,123,153,173,150,111,67,32,53,20,23,46,45,41,38,36,28,31,33,22,116,117,118,123,189,184,164,149,133,112,137,139,117,79,35,25,51,33,13,37,48,40,37,35,29,27,28,28,116,117,118,122,190,191,168,148,130,113,118,116,84,33,32,27,43,46,15,23,45,41,35,35,32,27,24,25,116,117,118,116,178,187,155,135,124,113,114,103,63,28,13,30,35,52,28,13,37,42,33,34,33,26,25,20
13,170,170,173,175,176,177,178,179,180,180,181,181,181,180,181,180,179,177,176,175,175,174,172,169,168,166,165,164,170,171,173,176,178,179,179,180,181,182,182,181,183,182,181,180,180,179,178,177,175,175,174,172,171,169,167,166,171,173,175,178,180,181,181,182,183,182,169,146,150,181,167,142,147,179,180,179,177,176,176,174,173,172,170,168,172,175,176,179,181,181,183,185,184,187,169,137,114,136,144,119,87,149,185,181,179,179,177,175,174,173,171,169,173,176,178,180,181,183,184,186,186,194,188,152,123,86,132,126,87,114,186,182,181,180,179,177,175,173,172,170,174,177,180,181,182,184,185,186,187,190,191,155,119,77,108,119,85,96,184,185,182,181,179,178,177,175,173,172,175,178,181,183,184,185,186,187,189,191,182,151,114,79,84,99,74,88,184,185,183,182,180,179,179,177,175,173,176,179,181,184,186,187,188,185,174,175,164,150,119,90,81,107,77,96,186,185,185,184,183,181,181,179,176,174,177,179,182,185,187,189,188,172,129,110,115,151,150,107,88,114,85,100,187,187,186,186,184,182,181,179,177,176,178,181,183,186,187,189,192,168,127,108,95,144,158,114,82,103,78,72,164,190,188,187,185,183,182,180,179,177,179,182,184,186,187,178,149,147,142,127,95,81,110,83,70,80,78,78,114,187,189,187,186,184,184,181,180,178,180,182,185,186,191,169,118,104,147,136,112,61,37,41,63,83,97,103,87,157,191,188,187,185,185,183,181,179,181,183,185,194,195,156,124,106,126,142,118,86,39,58,73,102,120,115,88,114,192,189,187,186,185,183,182,180,181,184,187,197,166,151,138,121,102,133,124,98,51,74,124,139,128,107,88,100,190,190,187,187,186,184,182,180,181,184,188,197,160,133,133,117,98,108,110,81,51,87,142,153,135,101,77,112,193,191,189,189,187,186,183,180,182,184,190,188,159,122,110,103,80,62,83,73,61,112,152,149,132,97,67,138,196,192,189,188,187,186,183,181,182,185,188,190,179,149,112,85,61,51,81,87,95,156,162,142,124,92,69,166,197,193,190,188,187,186,184,182,183,186,188,189,184,163,135,115,96,94,107,113,151,177,157,132,112,86,82,186,195,193,192,189,188,187,185,183,184,187,188,188,181,167,145,123,104,109,142,169,176,167,147,124,103,76,102,196,196,194,192,189,188,186,185,184,184,187,189,189,172,158,143,123,108,112,137,170,170,156,134,113,94,66,128,200,197,195,193,190,188,187,186,186,184,186,190,190,167,155,144,127,119,115,129,162,166,150,124,100,84,63,160,200,198,195,193,191,188,188,187,185,184,187,189,193,179,157,146,134,124,114,122,154,157,138,110,87,68,86,191,199,197,195,194,192,189,188,187,186,183,186,189,193,191,164,148,137,123,111,111,136,143,124,97,78,59,142,201,199,198,196,194,193,190,189,188,186,184,186,190,193,196,187,156,135,119,112,111,124,135,118,94,73,76,186,200,199,197,196,195,193,191,190,189,187,184,187,191,194,196,193,170,143,125,119,122,124,131,117,90,69,118,202,200,199,198,197,195,193,193,191,189,187,184,187,190,192,194,189,178,155,146,142,138,131,131,113,84,71,155,202,199,198,197,196,195,192,192,190,188,186,183,185,189,192,192,183,185,165,157,151,142,135,123,103,79,76,179,200,198,196,195,195,193,191,189,188,186,185,182,186,188,192,191,180,190,170,160,157,141,127,109,97,73,86,191,199,198,196,196,195,194,192,190,188,185,184
15,23,53,63,76,85,93,101,111,120,125,129,134,137,140,143,145,148,150,152,154,156,158,159,160,162,164,165,167,25,55,64,77,86,94,102,111,121,125,130,135,138,141,144,146,149,151,153,155,157,159,159,161,163,165,167,168,28,57,67,79,87,95,102,113,123,126,131,135,139,141,145,148,150,152,154,156,158,159,161,163,164,167,168,169,33,59,68,81,89,95,103,114,123,126,130,135,139,142,146,149,150,151,154,157,158,160,163,164,165,167,168,169,40,61,69,80,90,113,112,113,121,127,132,136,138,143,146,149,151,152,155,157,159,162,163,165,167,167,168,170,44,62,72,81,97,147,126,110,105,116,130,137,140,144,147,150,151,153,156,157,159,162,163,165,167,168,169,171,50,62,73,83,94,129,130,119,109,101,107,123,137,144,147,150,152,155,157,158,160,164,165,167,167,167,168,171,53,62,73,84,92,103,115,115,112,107,110,110,112,122,141,150,152,155,157,159,160,163,165,167,167,168,170,172,55,63,74,83,92,100,107,114,106,109,115,119,115,107,105,127,147,155,158,159,160,163,166,168,168,169,172,174,58,65,76,84,93,101,108,119,119,119,119,118,117,113,105,104,110,132,153,159,161,164,166,167,169,170,173,174,60,67,78,86,93,101,108,119,125,128,130,120,109,110,115,115,108,103,111,136,156,164,166,167,168,171,173,175,60,68,78,87,94,102,111,121,125,130,136,134,123,115,104,102,104,102,103,109,113,137,163,168,170,172,173,175,61,68,79,88,95,102,113,122,125,132,143,117,103,116,113,91,85,96,112,118,118,104,123,165,170,173,174,175,61,69,80,89,95,102,112,122,125,138,141,117,94,94,111,111,105,112,116,124,129,111,91,130,174,174,175,176,63,70,81,89,96,103,114,123,125,133,125,112,109,114,120,105,108,113,107,119,127,117,107,96,157,174,175,176,64,71,81,90,97,103,113,122,126,131,134,116,123,140,132,108,89,86,78,109,129,119,124,100,114,173,175,175,64,73,82,89,96,103,113,122,126,130,152,127,116,135,129,114,106,97,84,94,102,111,118,106,86,148,176,176,65,73,82,89,97,103,113,123,125,139,147,112,85,89,112,123,125,121,108,96,93,91,98,102,89,106,174,177,65,74,82,89,97,104,115,123,125,147,127,90,74,44,50,90,128,136,130,121,113,92,80,89,89,80,150,179,66,75,83,90,97,105,116,121,130,151,108,73,67,49,38,34,75,133,142,137,126,100,80,84,86,76,108,177,66,75,84,91,99,106,117,120,137,137,87,75,97,85,68,43,28,97,143,140,128,107,93,88,86,81,80,150,67,75,83,90,99,107,117,127,138,105,74,115,126,106,99,81,40,63,141,140,131,121,112,100,90,85,78,101,68,77,84,92,100,107,118,129,110,85,97,143,138,114,111,105,85,72,134,144,140,133,125,112,98,89,84,79,70,78,85,92,98,107,119,122,112,112,131,137,133,122,104,103,100,95,120,142,144,139,130,118,107,96,90,85,70,78,84,92,99,108,118,122,127,133,137,140,134,118,96,91,88,107,114,126,138,136,129,120,110,101,95,90,70,77,84,92,98,109,118,122,127,133,136,140,145,145,137,126,113,113,120,106,121,127,125,120,113,104,95,92,70,77,83,90,97,108,118,122,126,133,136,140,145,148,152,153,151,153,141,124,118,127,124,119,116,109,98,94,70,77,82,88,96,107,116,120,125,132,136,140,145,148,151,153,157,165,165,154,142,140,126,115,113,114,108,101
7,156,157,158,158,158,157,157,157,157,157,157,158,158,157,156,155,155,155,145,52,33,59,75,77,99,123,136,158,159,160,161,161,161,160,160,160,161,160,161,159,159,159,159,158,157,162,123,42,51,76,70,72,97,119,141,159,163,163,164,163,164,164,164,165,165,164,164,165,163,163,161,161,158,166,97,38,57,67,71,66,92,124,147,161,166,166,166,166,166,166,166,166,168,167,165,162,161,164,160,159,155,160,130,100,116,69,62,82,100,136,154,155,169,170,170,169,170,169,168,169,170,169,171,161,146,161,168,160,145,148,138,158,192,105,56,82,110,149,155,147,172,172,172,173,175,173,171,173,181,186,181,167,154,162,162,158,148,143,137,132,167,110,73,96,129,160,156,145,176,176,175,175,174,176,183,191,195,191,183,168,168,163,132,140,160,152,151,141,139,122,121,160,146,162,164,151,180,179,180,179,173,181,189,189,185,179,177,178,171,160,139,146,164,153,151,145,122,117,104,134,129,159,170,165,181,179,199,195,184,182,184,182,182,182,179,179,172,152,147,139,126,112,106,104,92,88,95,96,102,157,169,174,181,186,209,196,178,174,181,184,183,180,173,165,153,135,122,111,108,112,125,123,102,162,156,134,105,157,166,175,185,192,206,193,163,160,171,173,171,156,131,116,94,89,122,168,179,178,189,163,129,201,135,166,116,151,164,170,186,196,201,182,156,161,163,145,125,102,111,139,107,109,116,96,174,185,183,175,159,121,112,190,118,135,162,159,187,198,198,181,182,178,163,150,142,150,155,151,144,139,150,83,111,196,180,183,181,126,168,196,124,111,159,153,191,201,201,204,210,187,152,155,161,159,152,140,136,135,129,82,107,197,184,184,181,176,161,180,151,104,150,156,194,202,203,211,209,181,144,144,142,134,134,129,123,117,98,90,182,190,187,186,183,182,192,179,166,149,153,157,196,203,206,208,192,169,155,145,121,101,107,122,118,115,100,109,197,190,188,188,188,186,163,126,132,159,155,157,202,207,206,199,182,174,175,178,147,122,134,149,142,125,122,109,158,200,190,189,189,195,160,121,144,153,153,159,207,210,202,191,182,173,186,185,146,122,130,132,123,111,111,88,156,201,190,192,192,194,186,149,165,146,152,158,206,207,201,192,182,184,198,178,141,122,123,120,116,110,92,106,193,196,195,194,192,191,192,165,157,150,143,154,204,206,199,188,187,193,187,161,130,113,102,97,87,73,91,178,202,195,195,194,193,193,194,176,160,156,140,144,201,201,193,186,188,178,161,142,127,118,95,72,85,126,181,205,197,197,195,195,194,194,196,182,161,166,147,129,194,194,188,184,184,169,154,146,134,116,124,171,190,208,205,201,199,198,197,198,197,195,198,184,159,171,164,142,190,188,187,182,179,169,160,148,114,93,190,213,204,202,200,200,201,200,199,200,198,195,197,183,157,168,167,155,188,179,181,181,166,157,148,120,79,149,215,203,204,204,203,202,201,200,200,200,199,197,197,184,157,165,163,159,185,174,169,163,151,139,120,86,111,209,207,207,207,208,206,205,202,201,201,202,200,199,200,185,159,164,161,153,177,167,160,144,127,110,84,91,193,210,207,208,207,207,205,205,204,204,202,203,200,199,201,180,161,165,160,153,158,149,140,122,99,81,97,184,213,207,209,209,209,208,207,207,205,204,202,202,202,201,198,170,164,164,160,150,142,130,123,111,89,121,194,214,208,209,209,209,209,209,208,208,207,206,204,204,202,204,186,164,168,168,163,154
6,219,219,219,219,220,219,219,219,218,218,219,217,216,216,212,212,211,209,208,207,205,203,201,201,199,197,194,191,223,223,224,225,224,224,223,223,222,222,222,220,218,216,215,214,213,212,211,209,209,207,204,202,202,199,198,195,226,227,227,226,226,227,227,226,225,225,226,224,223,221,219,218,217,215,214,213,211,209,207,206,205,203,200,198,228,229,228,228,229,228,228,229,228,228,229,226,225,226,224,222,220,218,217,215,213,213,211,209,208,207,202,200,232,232,232,231,232,233,232,231,231,231,231,231,229,227,226,225,223,221,219,218,217,215,214,212,210,210,206,204,233,233,234,234,233,235,234,234,234,234,233,232,231,231,228,227,226,225,223,221,219,218,217,216,213,210,209,207,235,235,236,236,236,236,237,236,236,237,235,234,233,233,232,229,228,227,226,224,222,220,218,218,216,213,210,208,237,237,238,238,240,240,240,239,239,239,238,238,237,234,232,232,230,230,232,230,229,225,224,224,219,214,215,212,239,239,240,240,241,241,241,241,241,241,241,242,241,242,240,238,235,227,219,212,204,206,201,187,189,201,195,213,241,240,240,240,241,242,243,242,246,245,239,230,222,220,208,196,186,184,160,153,164,172,163,152,195,237,183,192,242,242,242,243,242,242,243,246,231,199,176,173,169,175,176,172,167,166,155,150,169,149,150,145,146,164,151,201,244,245,244,245,243,247,241,220,200,184,159,162,169,174,181,174,164,132,126,113,108,112,131,135,143,171,203,221,246,246,246,247,250,231,204,199,198,178,139,115,128,128,118,117,119,112,124,158,193,212,222,228,235,234,227,221,246,247,248,251,223,192,195,196,189,174,150,106,78,51,164,229,237,236,239,247,245,239,236,233,227,227,225,225,247,249,252,223,189,195,200,198,200,200,184,127,73,64,99,144,184,239,243,238,239,235,234,234,232,230,228,227,252,247,219,200,202,206,209,207,205,204,154,88,67,71,65,59,50,101,245,242,241,240,237,236,234,231,230,227,233,202,198,211,210,208,212,195,192,185,111,68,60,64,74,78,79,52,184,255,240,241,240,236,234,233,230,227,198,198,211,214,210,209,199,183,191,186,155,122,69,47,60,66,72,40,123,255,241,241,240,238,235,234,231,229,203,205,210,214,215,206,187,188,195,194,199,157,86,60,61,52,62,131,224,247,242,241,241,239,236,234,233,231,205,207,214,218,208,191,182,186,183,183,179,121,69,63,66,62,70,253,254,243,244,242,241,240,237,235,233,231,207,210,211,203,192,185,184,181,172,163,153,108,57,48,61,54,81,244,247,245,245,242,241,239,236,235,234,232,208,204,190,183,190,187,179,171,155,152,163,148,82,51,53,69,222,252,244,242,242,241,240,238,234,231,230,230,193,181,176,183,179,164,152,146,151,165,182,166,90,67,65,70,247,250,246,242,240,240,240,236,240,243,239,227,184,181,181,171,156,145,149,153,159,160,164,122,69,56,43,117,253,246,245,244,247,245,245,249,222,186,146,104,178,175,165,153,151,150,148,134,123,115,98,57,75,117,158,247,251,255,255,249,227,227,226,195,103,68,51,57,160,146,119,121,140,143,131,106,83,71,78,147,244,255,255,255,255,193,162,122,80,89,78,65,54,69,55,44,108,85,61,75,100,101,90,77,81,128,186,223,227,223,226,229,168,83,79,55,36,55,41,48,45,43,55,30,82,54,68,105,112,108,105,106,117,124,123,116,114,116,115,97,74,70,61,65,30,44,42,36,39,36,40,31
7,198,200,202,204,205,206,207,209,209,210,210,210,209,209,209,209,210,211,211,210,210,209,208,207,206,203,201,200,200,201,203,205,207,208,209,210,210,211,211,212,212,212,212,212,212,213,212,212,212,211,210,208,207,206,204,203,201,203,205,207,208,210,212,213,213,213,213,214,214,215,215,215,215,214,213,214,214,213,212,210,209,208,207,206,202,206,208,209,210,212,213,214,215,215,215,216,216,217,216,216,216,216,216,215,216,214,213,212,211,211,209,208,205,208,210,212,213,214,215,216,216,217,217,217,217,218,218,218,218,218,217,217,217,216,215,214,213,213,212,210,206,209,211,213,214,216,217,218,218,219,219,218,219,220,220,220,220,219,219,219,218,218,217,215,215,215,214,212,208,211,213,215,215,217,219,220,220,220,221,221,221,221,222,222,222,221,221,222,221,220,219,218,217,216,216,215,209,211,214,215,217,218,220,221,222,224,221,219,221,222,221,222,223,222,223,223,222,221,220,218,217,217,216,215,210,212,214,216,218,220,221,225,230,230,210,191,201,213,216,214,216,219,218,218,215,217,213,221,226,216,217,215,212,214,216,218,222,227,230,231,233,232,220,185,171,190,202,203,204,200,198,203,202,207,200,214,208,208,219,217,214,218,226,231,233,232,230,226,221,218,212,181,161,172,186,195,196,194,192,190,187,192,183,182,180,206,217,217,229,234,234,233,230,225,219,211,206,212,216,191,160,152,157,169,181,188,185,184,189,189,185,191,191,196,209,206,243,237,231,225,218,213,209,206,209,217,218,194,163,157,159,156,153,148,158,169,171,175,172,175,181,181,184,200,241,234,225,215,206,201,200,202,206,214,205,179,157,154,164,170,164,148,165,213,212,207,204,204,203,205,211,223,235,231,224,213,204,201,201,198,197,207,209,184,150,139,154,163,164,158,156,223,233,231,231,230,229,228,228,227,230,228,224,217,211,206,206,204,203,209,216,192,163,160,164,157,154,143,178,233,233,233,233,231,230,229,228,228,224,221,219,217,215,210,207,204,204,207,208,191,170,171,172,164,159,155,221,235,234,235,233,233,232,231,230,230,203,202,206,214,216,213,206,201,198,196,184,171,155,150,156,159,148,194,238,235,234,235,234,233,233,233,232,230,124,133,157,188,207,205,195,187,180,172,165,155,121,103,120,145,154,223,237,235,235,235,234,233,232,232,230,205,69,68,77,100,138,165,167,174,181,195,214,217,155,120,136,158,201,237,238,237,236,235,234,234,234,231,195,142,63,59,57,57,61,84,183,225,232,237,238,240,219,188,205,223,237,239,238,237,236,236,236,220,190,169,134,112,57,54,51,50,44,97,231,236,237,237,238,238,238,237,239,238,238,239,239,238,239,230,197,151,131,120,108,96,52,50,47,46,40,101,235,237,237,238,239,239,238,238,238,239,240,240,240,240,229,166,115,105,114,107,99,94,50,52,49,45,34,95,235,237,238,238,239,241,241,241,240,241,241,241,242,233,185,129,95,80,94,94,90,91,57,59,54,42,26,84,215,219,222,224,225,227,228,229,230,232,232,233,226,166,118,123,94,70,75,86,83,84,67,61,47,29,26,61,144,149,150,152,154,157,160,161,163,165,164,169,164,119,94,116,91,64,65,74,76,77,72,54,34,26,30,73,132,131,131,132,132,133,133,133,134,132,133,145,140,104,85,110,86,61,62,67,70,72,65,41,29,30,34,94,141,139,139,140,140,139,139,138,138,137,139,130,115,98,83,103,80,62,59,63,66,68
24,159,164,169,171,174,176,178,181,182,184,186,189,189,190,192,195,196,197,200,200,201,201,202,202,201,203,203,204,159,163,167,170,174,176,179,182,183,185,186,189,191,192,194,196,196,198,201,200,201,203,203,203,204,206,206,206,160,165,168,171,175,177,180,182,185,188,188,191,194,195,196,198,198,199,201,201,203,203,205,205,206,207,207,207,161,166,169,173,175,177,181,183,185,188,189,192,195,195,197,200,199,199,202,204,205,206,206,208,207,207,207,207,161,167,169,174,175,178,182,184,186,189,191,193,196,197,198,200,201,200,202,205,207,207,207,208,208,207,207,206,162,167,171,175,179,180,183,185,188,190,192,193,197,197,197,199,204,205,205,206,207,208,208,207,208,208,209,208,164,165,181,172,152,184,182,186,189,191,193,194,195,195,203,202,199,192,208,207,208,208,208,207,209,210,209,210,164,163,189,189,131,174,185,186,189,192,195,197,197,176,155,203,200,157,157,211,207,208,208,209,210,210,209,210,165,166,173,193,145,141,190,185,189,193,167,190,217,185,134,175,210,170,114,161,217,208,210,212,211,212,212,210,165,169,170,188,180,138,176,188,200,209,173,160,217,190,148,163,213,176,125,108,212,210,212,213,211,213,200,179,164,169,174,179,209,176,141,183,214,225,188,151,205,200,150,144,211,170,123,88,193,216,210,211,213,205,168,136,165,170,174,174,197,193,147,159,201,234,204,159,171,213,160,125,194,154,114,77,177,219,208,213,205,189,152,119,164,170,174,176,179,196,202,182,180,216,213,165,134,190,169,115,158,143,115,79,134,222,212,195,186,174,127,143,165,171,175,177,178,193,208,200,202,211,198,160,116,157,164,112,127,162,125,85,92,190,192,178,175,143,108,192,166,170,174,177,182,182,202,204,198,207,196,158,135,129,180,133,124,198,133,93,140,155,177,179,146,103,167,222,166,171,174,178,183,181,197,217,192,173,172,172,171,125,185,169,101,178,140,167,194,176,168,154,115,140,221,213,166,171,175,179,181,182,193,215,175,164,161,171,169,141,165,156,107,170,207,206,187,168,147,130,118,212,216,215,166,171,177,180,182,184,190,224,197,175,157,158,166,183,163,157,193,214,204,195,181,161,140,111,170,223,213,215,167,172,176,179,182,188,186,228,218,190,162,152,181,197,207,221,223,209,200,189,174,152,119,125,220,217,217,216,167,172,177,179,182,188,186,225,231,198,184,163,169,194,214,233,219,207,204,188,159,133,103,174,224,214,216,216,168,173,176,179,183,186,183,217,237,206,199,185,170,195,212,228,218,211,203,180,155,117,125,219,215,216,216,217,168,174,177,179,182,185,188,199,233,219,204,197,182,191,210,222,217,206,193,176,157,106,186,223,216,217,217,217,167,173,177,180,182,185,189,191,212,224,212,194,183,190,207,215,208,194,177,167,127,144,223,215,218,217,218,217,167,172,176,179,181,186,191,191,202,227,209,194,182,193,199,202,196,183,163,140,116,207,218,215,217,218,219,220,166,171,175,177,180,185,188,190,198,214,195,192,185,188,193,197,192,178,156,115,158,227,213,216,217,216,216,218,164,169,174,176,179,183,186,188,196,201,191,201,198,197,200,195,184,171,146,110,194,218,213,215,215,215,215,216,163,168,173,175,177,182,185,185,196,217,209,216,206,204,196,188,178,164,132,117,210,213,213,213,214,215,216,216,162,168,173,175,176,182,185,185,196,232,214,213,206,201,188,182,178,155,120,129,219,211,213,213,214,214,216,215
18,141,142,142,145,147,146,145,146,146,144,142,142,141,140,139,138,139,138,137,135,134,133,131,129,128,127,124,123,142,144,145,147,147,148,147,147,148,147,145,144,142,142,142,144,143,139,139,138,136,133,132,130,129,127,125,124,146,146,145,147,147,148,150,150,148,147,149,149,152,150,147,141,134,146,141,143,144,141,132,132,131,130,129,126,146,147,148,149,148,150,151,152,150,148,149,110,80,132,142,93,56,81,150,125,97,110,139,133,131,132,130,129,147,149,149,150,151,152,152,153,153,159,149,94,52,41,106,98,53,16,76,89,55,28,90,146,133,132,130,130,149,150,151,150,152,154,156,129,93,116,147,104,80,38,78,134,60,44,10,75,66,26,12,135,137,134,131,130,150,152,154,154,154,154,164,127,91,64,97,134,80,54,49,132,65,55,49,45,59,44,0,104,144,134,134,132,151,154,154,156,157,156,161,143,118,97,54,112,103,58,27,83,88,71,67,55,77,61,1,104,145,136,135,133,151,154,155,158,156,164,144,142,131,102,71,52,102,65,34,47,100,84,70,69,74,56,0,110,148,137,137,135,153,155,157,158,155,167,147,98,115,99,60,10,84,75,33,25,86,75,70,65,60,52,0,91,152,138,137,135,155,156,157,160,156,165,133,46,80,97,24,0,55,50,11,8,60,24,51,89,84,58,6,70,155,139,138,137,155,157,158,160,158,168,133,85,76,88,18,1,33,23,1,0,30,1,29,133,102,67,18,47,158,141,140,139,156,158,159,160,159,169,147,122,70,80,44,9,28,35,3,0,25,0,0,105,108,75,33,20,149,145,142,140,159,159,159,160,162,169,151,111,74,51,33,0,33,47,0,0,11,56,100,107,132,94,48,1,126,151,143,142,159,159,160,161,163,168,124,85,61,36,13,0,11,8,0,8,52,125,134,114,118,99,51,0,107,158,143,143,159,160,163,164,164,166,142,111,84,58,33,29,20,24,51,85,126,140,132,126,92,79,39,0,114,156,144,143,160,163,165,165,164,168,155,123,92,55,30,29,42,63,93,122,147,144,122,109,83,47,21,4,143,150,147,146,162,164,165,166,165,166,157,131,98,64,43,41,46,65,118,143,156,142,112,92,70,39,0,45,162,147,148,147,162,163,165,165,166,165,158,140,109,81,57,54,43,83,139,153,150,130,104,82,63,29,0,107,160,147,148,145,163,165,165,167,167,162,154,138,110,87,66,62,51,96,150,143,136,121,97,72,54,16,4,151,153,149,148,147,164,167,169,170,169,161,142,126,108,90,75,73,58,100,146,134,124,108,89,63,44,0,51,167,149,152,150,148,164,167,168,168,170,166,140,129,116,95,82,87,64,105,133,130,114,89,74,53,31,0,111,164,151,152,150,147,167,168,168,169,171,171,148,128,117,103,93,91,66,106,126,121,109,81,59,40,6,11,159,154,154,151,151,149,166,169,169,169,170,175,160,127,122,113,97,84,64,89,120,109,94,70,43,28,0,84,171,154,155,154,152,149,167,169,169,170,169,172,169,145,128,114,99,87,69,73,103,98,78,53,33,2,3,159,158,157,156,155,153,150,167,167,168,171,172,174,172,157,136,121,105,93,78,71,90,87,64,43,26,0,86,173,156,157,157,155,154,150,167,168,168,169,172,173,173,166,147,118,98,87,83,79,82,80,60,40,3,10,162,161,160,158,157,156,154,150,168,169,170,170,172,174,171,165,147,120,112,109,103,94,76,73,52,30,0,85,176,159,159,158,158,156,154,151
1,139,141,145,147,150,150,151,153,153,153,154,153,155,158,154,154,155,155,155,156,156,155,156,155,154,155,154,153,142,145,147,150,153,154,154,156,156,157,157,161,150,145,160,156,158,158,158,157,158,158,158,158,157,157,156,156,145,148,151,153,155,156,157,157,159,160,154,171,158,96,165,166,162,162,161,160,161,162,162,162,161,159,159,158,148,150,153,156,158,160,160,161,159,177,159,130,169,86,137,144,166,165,164,164,165,164,165,164,163,163,162,161,150,153,155,159,161,162,163,166,161,185,161,109,170,88,96,104,137,174,166,166,167,167,168,166,165,166,165,163,152,155,159,162,164,164,165,168,165,186,167,111,172,112,101,124,100,179,167,168,169,170,170,168,167,167,167,166,154,158,162,164,165,168,169,172,162,177,186,110,167,139,93,136,89,162,173,172,172,171,172,172,171,170,169,169,157,161,164,166,167,170,169,179,172,118,192,119,143,149,97,149,113,138,182,173,174,175,175,174,173,173,172,170,161,164,166,169,171,174,171,186,175,95,186,130,123,157,112,161,149,112,179,175,176,177,176,176,175,174,174,172,163,166,168,170,173,176,172,186,178,101,181,140,124,175,131,136,171,107,161,185,179,179,178,177,177,176,175,173,165,167,170,171,174,177,175,189,190,109,181,173,122,178,143,116,185,132,133,190,179,181,181,181,179,178,177,176,167,169,172,173,177,179,177,191,190,108,168,185,111,145,147,102,189,157,114,184,183,183,183,182,182,181,180,179,169,171,174,177,180,182,178,190,192,129,132,179,85,124,159,90,168,170,110,167,190,184,185,184,184,184,182,180,171,173,175,179,181,182,181,191,199,145,96,173,140,146,151,157,176,138,112,142,196,185,187,186,185,185,183,182,172,174,177,180,181,184,184,191,200,132,104,156,190,152,137,191,170,124,125,103,190,189,188,187,186,186,185,183,172,175,178,181,182,186,185,192,195,158,170,127,162,155,158,198,148,123,132,94,157,198,189,189,188,188,187,186,173,176,179,181,184,187,186,193,198,179,170,126,129,170,202,193,177,148,113,96,121,200,191,191,190,188,188,187,173,177,181,183,185,188,187,199,200,160,152,129,151,196,197,159,170,190,162,114,91,195,194,192,191,191,190,190,174,177,181,185,186,188,187,201,208,154,134,147,172,155,139,103,154,211,196,162,104,171,200,193,193,193,193,190,174,178,181,183,187,187,187,198,220,170,131,133,120,118,112,163,181,191,192,158,118,128,205,194,195,194,193,191,174,178,180,182,186,187,187,191,218,192,130,140,146,165,196,213,205,189,177,146,96,124,205,193,195,194,194,192,174,178,180,182,186,188,187,190,213,212,147,146,160,168,211,212,209,190,165,140,85,130,206,192,194,195,194,192,176,179,181,184,186,187,189,189,209,224,172,151,170,158,206,222,214,189,157,132,82,144,205,194,197,195,194,193,176,179,180,183,186,187,189,189,202,222,191,160,190,151,194,224,213,183,147,120,81,158,206,195,198,196,194,194,176,179,180,183,186,187,189,190,192,212,203,176,196,158,173,222,202,171,142,112,79,165,205,196,198,196,194,193,176,182,185,187,190,193,194,197,195,204,208,194,187,169,147,211,198,168,134,105,78,179,208,199,197,196,197,197,110,114,118,124,127,130,132,137,134,166,216,202,179,164,136,178,190,155,122,98,89,178,187,190,199,203,198,195,91,89,90,91,91,92,93,95,86,120,210,187,168,154,131,151,173,142,111,96,95,105,142,194,190,187,204,193
14,169,170,170,170,170,171,171,171,171,170,170,171,171,171,170,169,169,167,166,165,164,164,163,162,161,160,158,157,172,173,173,174,173,173,173,174,173,173,173,174,174,173,173,171,171,169,168,168,166,166,166,164,163,162,160,160,174,174,175,176,175,174,176,176,175,174,175,175,175,174,176,177,174,173,173,173,171,169,167,168,167,165,163,162,176,178,177,177,179,179,179,178,179,177,177,179,178,177,168,159,168,172,168,166,166,172,175,167,169,167,167,166,179,180,179,180,180,180,180,180,180,179,181,181,179,173,158,140,147,150,145,150,145,117,149,181,170,169,168,167,181,181,182,181,182,183,182,182,182,181,180,162,158,168,173,170,165,150,112,122,140,114,87,134,178,174,170,168,183,183,184,183,185,185,183,183,184,183,181,180,176,181,181,173,165,154,137,108,118,130,104,98,134,163,173,170,185,185,185,185,185,185,185,184,185,183,183,171,154,146,136,121,100,103,136,140,140,146,103,109,129,104,169,176,186,186,187,187,187,187,187,186,187,187,181,153,149,152,127,99,84,84,81,107,124,108,79,67,94,68,93,175,187,188,188,187,188,188,188,189,186,171,172,182,179,164,144,128,128,153,102,146,163,137,160,120,70,64,59,105,190,191,190,189,190,189,190,191,184,173,178,172,160,133,115,109,107,98,108,185,190,190,185,197,151,59,76,80,191,192,191,191,191,191,192,193,181,174,168,140,110,65,49,52,50,83,180,188,185,184,185,182,100,86,100,96,192,192,192,192,192,192,192,190,181,172,127,82,54,46,51,55,40,136,201,185,189,185,196,133,85,116,109,84,192,194,194,193,195,194,195,190,183,166,112,65,55,57,60,66,52,153,197,189,189,191,175,94,106,113,101,74,195,195,195,195,196,195,196,190,182,161,114,61,60,60,58,60,53,177,195,190,188,199,125,85,106,107,79,116,197,196,196,197,197,197,198,189,182,149,87,60,72,58,56,57,42,156,210,188,197,174,92,89,95,95,72,171,198,197,198,197,197,199,196,185,182,146,99,84,70,57,58,54,42,59,147,198,195,103,96,103,93,66,130,195,199,199,199,199,197,200,194,185,185,158,112,86,65,59,63,62,64,64,58,115,114,78,101,102,79,100,194,185,199,201,201,200,199,200,194,181,184,153,112,91,65,60,69,76,79,83,88,85,74,89,99,89,79,178,194,187,200,201,200,199,200,201,194,177,180,153,129,93,61,63,71,83,84,89,95,104,101,85,105,75,139,202,189,189,200,201,201,200,200,203,195,172,177,161,129,92,70,60,73,88,90,89,95,107,107,94,82,83,191,195,193,191,200,201,202,202,202,204,195,175,183,162,136,108,80,60,74,90,92,94,101,113,112,100,66,138,204,193,193,192,202,202,203,204,204,205,194,177,185,161,133,104,86,63,71,94,93,98,107,114,109,82,96,203,196,196,195,193,204,204,205,205,204,207,193,179,182,153,127,108,90,71,65,95,93,98,110,109,103,65,144,208,195,197,195,194,203,204,204,205,203,207,191,177,179,148,123,111,93,77,63,86,93,97,105,103,86,74,192,200,197,197,196,195,203,203,204,205,203,207,188,172,175,145,124,113,91,77,64,79,94,92,94,95,57,140,211,197,199,197,196,195,203,203,204,205,203,208,189,167,166,144,123,103,87,77,66,73,88,88,88,66,98,203,198,198,198,197,195,194,204,204,205,205,204,208,187,165,160,142,118,100,88,78,69,73,82,84,70,85,195,203,198,198,198,198,196,194
0,204,206,208,210,212,213,214,214,215,216,218,218,219,218,219,219,218,219,219,218,217,215,215,214,214,214,214,213,205,207,209,211,212,213,216,216,217,218,219,219,220,220,219,219,219,219,220,220,218,216,217,217,215,215,215,214,207,208,211,212,213,215,217,218,218,221,221,221,220,220,221,221,219,219,219,221,220,219,217,217,217,215,216,215,207,208,210,212,212,213,217,218,219,221,220,221,222,224,222,222,222,223,219,221,221,220,218,218,216,215,218,217,207,210,211,213,213,216,219,219,221,226,223,220,214,205,221,220,204,206,222,219,220,220,221,218,219,217,218,218,208,211,213,213,215,218,219,219,218,196,208,238,205,161,164,224,189,138,185,237,222,204,185,226,219,220,219,220,209,211,214,214,215,219,217,224,225,190,152,223,224,177,131,225,196,147,129,185,194,216,149,205,228,218,221,220,211,212,214,215,217,219,216,240,239,221,159,155,231,170,137,228,193,152,103,145,168,220,190,156,208,226,219,221,212,213,215,216,220,218,228,231,227,227,169,117,213,177,146,232,197,133,132,186,144,212,213,186,156,195,226,221,213,215,216,218,220,217,241,212,206,217,144,122,210,165,152,223,180,111,149,190,116,194,237,208,161,122,225,222,213,216,218,219,218,218,246,219,207,197,120,140,204,144,144,200,164,105,148,185,126,227,245,203,145,119,224,222,214,216,218,221,218,234,239,207,201,192,133,142,184,131,127,179,152,93,152,171,166,232,215,183,109,167,235,221,215,218,219,221,218,249,241,199,161,172,133,127,184,133,115,186,133,115,191,181,197,200,176,144,106,217,228,226,215,218,219,222,220,249,240,214,182,135,88,135,211,140,121,205,189,206,195,182,159,174,152,104,150,236,225,227,216,219,220,221,224,251,230,213,200,174,125,122,155,120,128,229,226,206,185,174,137,137,138,92,193,235,225,225,216,218,220,220,231,255,232,213,200,190,153,117,133,162,223,237,222,197,177,163,129,119,115,100,224,230,226,226,218,218,221,219,236,255,237,217,202,198,168,138,144,204,243,233,214,187,166,147,117,114,86,161,239,227,226,228,219,219,222,220,235,255,241,220,204,199,177,144,149,219,245,226,207,179,155,129,111,92,115,232,229,229,227,227,219,220,221,222,230,254,243,225,209,195,177,144,179,225,233,216,203,171,141,116,102,88,204,236,229,231,228,227,217,220,223,223,229,254,241,228,214,192,173,161,207,221,208,208,192,158,123,108,79,172,242,230,231,231,231,231,220,220,225,221,231,255,244,239,214,191,182,189,218,196,192,193,175,142,115,83,135,241,232,233,233,232,232,232,220,221,224,217,245,254,246,246,219,199,189,198,209,178,187,177,154,125,95,102,231,236,234,234,233,233,232,232,221,222,220,223,253,241,243,239,207,195,195,195,181,177,178,163,140,107,93,207,240,233,233,234,233,233,232,232,219,221,216,234,233,216,229,222,192,192,193,181,173,170,155,145,115,88,189,240,231,235,233,233,232,231,231,231,219,217,215,241,218,195,196,194,184,183,184,170,160,157,140,120,93,171,235,233,235,235,233,233,232,231,231,231,223,206,228,238,200,189,181,172,171,193,183,144,151,151,122,87,170,236,232,236,236,235,235,234,233,232,232,233,214,206,248,229,184,170,177,155,163,194,162,131,152,138,92,144,234,235,234,236,235,235,235,234,234,233,233,233,200,231,245,225,181,157,164,146,166,179,147,133,142,106,105,219,235,236,237,236,235,235,235,234,235,234,235,233
15,173,147,150,130,87,173,66,14,77,75,76,81,86,88,101,116,131,143,147,150,159,166,171,175,178,181,185,188,173,148,157,122,99,176,50,23,79,76,79,81,85,88,102,119,134,145,148,154,161,168,174,177,181,185,187,191,174,153,165,112,115,176,35,35,81,76,80,84,87,88,104,121,136,147,152,156,164,171,177,180,185,188,191,194,172,156,170,105,132,169,24,47,82,77,81,84,86,91,107,124,139,150,153,158,166,174,180,184,188,192,194,197,171,157,171,95,151,158,5,54,79,75,80,86,92,93,112,130,144,154,157,161,171,178,183,187,191,195,199,201,167,169,165,112,149,143,83,105,105,112,123,124,122,100,100,115,132,150,159,165,174,182,194,197,194,199,202,205,163,184,150,126,128,125,128,113,105,113,109,105,97,105,105,101,105,112,123,134,134,127,142,176,208,207,204,210,168,162,121,116,116,112,104,98,99,101,101,98,99,114,118,114,111,109,107,121,130,115,101,87,130,198,220,213,173,171,137,102,109,95,99,93,100,104,105,103,108,120,120,118,111,104,111,125,125,121,115,98,78,88,162,221,173,180,144,106,189,73,41,87,85,89,92,96,107,119,121,115,105,107,121,123,115,119,113,105,100,86,73,111,177,185,129,122,204,51,23,87,78,80,82,86,87,105,125,154,134,120,119,120,122,120,115,108,107,110,94,73,181,192,118,139,195,36,39,88,79,81,83,87,89,102,137,189,169,138,125,119,109,115,110,112,111,126,106,88,182,194,110,154,188,23,48,89,80,81,84,86,90,102,179,170,145,102,96,108,84,87,109,113,121,137,114,100,183,191,105,170,174,14,58,87,78,81,84,89,82,139,188,143,129,91,49,63,44,52,145,134,139,131,111,108,185,188,99,184,159,8,67,87,79,81,85,84,100,197,164,127,108,84,42,35,20,57,170,158,149,117,102,109,186,182,100,198,144,3,75,87,81,81,85,76,141,213,164,120,99,56,32,36,15,87,172,173,161,121,96,103,192,178,101,207,126,4,82,86,80,82,86,78,116,200,182,137,104,47,25,34,38,97,164,184,169,126,97,93,201,170,108,218,109,7,87,84,80,81,84,87,85,179,204,169,116,63,19,67,81,83,156,177,150,120,98,79,207,163,117,229,94,12,91,83,80,80,83,87,87,139,222,191,133,73,35,42,104,146,162,144,115,109,92,70,213,151,129,231,77,18,93,82,78,78,80,83,93,114,208,205,174,156,148,148,165,145,124,103,90,94,88,73,216,140,145,229,59,25,92,79,77,76,80,80,93,110,172,215,178,161,157,166,162,114,85,87,82,83,90,94,218,129,161,222,44,35,91,77,76,76,79,81,91,121,197,165,134,131,140,167,160,99,76,78,72,86,90,83,216,121,179,211,32,45,91,77,75,74,79,83,84,155,201,140,132,135,132,156,154,108,76,89,183,117,56,51,211,115,195,199,9,43,81,66,66,66,71,75,80,153,181,134,119,117,114,137,138,111,65,183,255,127,58,57,206,113,205,185,81,103,116,102,97,92,89,90,100,130,155,146,160,157,106,85,132,104,81,175,255,135,65,59,199,117,209,190,154,117,131,131,129,125,127,131,128,126,127,138,146,195,161,83,139,138,113,161,196,121,74,63,192,120,215,189,137,100,119,115,117,117,120,119,121,120,118,123,116,148,195,124,110,128,126,123,127,102,71,70,183,126,219,183,137,111,122,123,124,124,124,125,126,128,130,131,130,127,150,140,130,133,134,135,140,107,56,36
21,175,178,180,181,182,182,182,184,184,184,184,189,186,186,186,186,185,185,184,186,185,184,183,182,181,180,179,178,179,181,186,186,186,186,186,187,188,190,186,163,189,189,189,189,189,189,190,190,189,188,186,185,184,183,182,181,184,185,188,189,191,191,190,191,191,193,201,123,165,201,192,194,193,192,192,192,191,191,190,188,188,188,187,185,187,189,190,191,193,194,195,196,196,196,207,129,143,208,196,198,199,199,195,196,194,193,193,191,191,191,189,188,191,193,195,196,197,197,198,200,199,200,209,130,125,209,200,189,156,188,204,199,199,197,196,196,195,194,193,190,195,196,199,200,202,203,203,204,203,202,216,151,118,207,204,188,129,138,214,201,202,200,199,199,199,197,196,194,198,200,203,204,205,205,206,206,208,203,224,191,119,195,214,186,136,121,212,207,205,205,203,202,201,200,198,196,201,203,205,206,207,207,208,209,211,206,227,199,119,176,220,185,139,117,203,214,209,207,206,205,204,203,202,200,204,206,209,209,210,211,212,212,212,207,230,215,136,161,224,194,165,124,198,216,211,211,210,210,207,206,205,203,207,209,210,212,212,213,214,214,213,213,203,197,169,147,226,190,164,125,194,220,213,213,211,211,210,209,207,206,210,213,212,212,214,215,215,216,216,222,198,151,146,140,222,187,176,123,193,225,216,215,214,213,213,212,211,208,211,213,214,215,216,217,217,219,216,236,225,173,101,113,221,195,196,140,195,227,218,217,217,216,215,213,213,212,212,215,217,218,219,220,220,221,221,236,235,175,134,170,172,159,173,148,155,230,220,220,219,218,218,217,215,213,215,217,219,220,220,223,224,221,215,199,217,180,124,152,140,156,148,151,131,202,228,222,222,220,219,219,217,216,218,220,222,223,223,225,225,226,207,137,167,202,108,67,123,141,111,190,154,158,235,222,225,223,222,220,219,218,220,222,224,225,226,227,225,230,219,164,116,206,148,81,97,82,156,227,191,135,215,229,224,225,224,222,222,219,220,223,224,225,226,226,231,219,214,199,114,187,178,84,108,175,159,211,204,135,158,239,224,225,225,223,224,223,223,224,225,226,227,228,230,237,199,191,127,104,113,70,107,212,203,189,163,124,114,226,229,226,225,224,224,224,224,225,226,227,230,230,229,224,179,177,129,90,78,92,155,216,219,186,134,111,114,224,231,228,227,225,225,225,224,227,227,230,233,232,228,222,216,161,154,131,96,143,212,227,209,180,136,102,138,241,230,231,229,227,226,226,225,227,229,231,232,234,229,235,204,181,167,151,110,179,235,223,212,177,133,91,184,245,230,232,230,229,228,227,227,229,231,232,232,235,233,235,218,196,153,202,185,228,240,231,212,158,119,97,221,239,234,233,231,232,229,228,228,230,231,233,233,235,235,231,230,183,180,200,213,245,251,241,194,141,99,126,244,234,235,234,233,232,230,230,228,231,232,233,235,235,236,218,221,201,197,181,206,234,244,224,170,132,91,168,251,237,236,235,235,233,233,230,229,230,231,233,234,234,237,214,214,209,200,181,199,219,216,189,142,114,96,220,244,238,238,237,235,234,235,236,226,229,231,232,233,233,239,228,203,201,195,193,181,187,192,157,118,90,157,250,238,239,238,238,236,233,232,221,228,230,232,233,234,234,237,239,204,199,193,198,173,171,179,141,103,99,228,241,240,238,238,237,237,235,233,151,229,231,233,233,235,236,236,241,212,192,179,180,164,160,165,135,87,132,247,238,241,240,240,236,242,203,166,123
2,195,196,197,198,198,198,199,199,199,199,198,198,197,196,197,197,195,195,194,191,192,191,189,188,186,185,184,183,197,198,198,199,200,200,200,201,200,200,199,198,200,201,200,200,199,199,198,197,192,192,190,189,189,187,186,184,199,200,201,201,201,201,201,202,202,201,201,202,192,184,188,187,180,175,169,180,199,192,191,190,189,189,187,186,200,201,201,201,202,202,203,202,203,202,203,195,178,173,176,175,166,150,136,127,165,196,195,192,191,190,188,187,201,202,202,203,204,204,205,203,205,205,198,178,178,181,173,175,179,146,140,149,151,153,174,193,192,191,189,188,202,203,204,205,205,206,205,206,206,207,199,189,182,169,158,158,150,111,116,136,143,119,116,188,195,192,190,188,203,203,205,206,206,207,207,208,209,203,199,193,178,156,138,125,134,163,178,157,140,123,153,197,194,193,190,189,204,205,206,207,207,209,209,210,206,190,189,177,151,113,95,135,210,208,206,207,202,198,202,197,194,193,191,190,205,206,207,207,208,209,210,210,203,188,178,147,113,99,93,174,213,202,203,201,201,201,197,197,195,195,192,191,205,206,208,209,209,209,211,211,202,188,151,109,97,89,124,210,206,206,204,203,201,200,200,202,200,196,193,192,206,207,209,210,210,211,212,208,204,187,145,98,97,85,162,217,205,207,206,204,202,203,198,176,170,192,195,193,207,208,209,210,212,212,212,205,203,181,141,98,104,95,158,217,206,208,207,205,205,199,156,130,121,159,200,193,208,208,209,212,212,213,212,206,200,174,124,102,111,97,167,218,208,209,207,207,204,161,140,141,125,156,202,193,208,209,211,212,213,214,211,207,200,168,127,116,110,97,186,217,208,210,209,209,166,137,144,134,125,189,199,195,208,211,212,212,213,214,208,207,199,172,136,119,107,95,151,223,212,208,215,178,124,130,138,118,159,206,197,197,209,211,211,212,213,216,208,206,197,170,139,119,105,105,106,147,199,217,183,141,125,125,121,122,202,200,199,197,210,211,213,214,213,216,208,204,191,168,145,118,105,107,112,108,128,155,127,129,138,121,114,185,205,200,200,198,211,213,214,215,215,215,207,203,192,168,140,116,105,106,110,118,120,115,117,128,122,122,192,209,201,202,200,197,210,213,213,215,216,215,203,208,201,165,140,121,104,108,112,115,122,125,119,123,119,195,211,202,203,202,200,198,212,213,213,215,216,212,202,213,197,161,139,121,105,108,113,116,121,127,120,103,182,215,203,204,203,202,201,199,212,214,215,216,217,209,205,212,189,155,138,124,106,108,116,120,122,125,108,157,215,207,207,206,204,202,202,201,212,214,215,216,219,207,206,206,182,152,140,124,106,109,119,122,125,112,124,216,210,208,208,207,205,203,202,201,213,214,215,216,217,206,207,199,174,154,141,123,106,110,121,120,120,98,181,219,210,210,208,207,206,205,203,202,213,214,216,217,218,205,202,188,167,150,136,121,105,110,120,119,98,145,221,212,212,211,209,207,206,205,203,202,213,214,215,217,215,205,195,185,165,148,134,119,106,111,118,99,131,216,214,213,211,210,209,208,206,205,203,201,213,214,216,217,214,203,188,179,158,143,130,117,108,105,95,135,215,219,214,214,213,212,210,208,207,206,204,202,213,215,216,216,214,200,186,176,156,140,125,115,99,110,175,220,218,215,215,214,213,212,211,208,207,206,204,202,213,215,215,214,212,196,183,172,157,137,122,107,96,190,230,216,216,217,215,214,212,211,210,208,207,205,203,202
6,203,204,204,203,204,204,203,203,203,203,202,201,200,199,198,195,195,193,193,191,190,189,187,185,185,183,180,178,205,206,205,205,206,206,205,205,206,205,205,204,203,201,200,199,198,196,195,194,193,191,190,189,187,185,184,181,206,207,207,207,207,208,207,207,207,208,206,205,204,204,202,201,200,199,198,196,194,193,192,190,189,186,184,183,208,208,209,209,209,209,210,211,210,210,208,207,206,204,204,203,201,202,200,199,198,198,197,195,192,190,186,185,209,210,211,211,211,210,211,212,211,210,210,209,210,210,209,208,206,204,200,195,191,189,183,178,179,178,186,189,211,211,212,212,211,212,213,213,216,216,214,208,206,201,193,185,178,164,147,151,157,158,143,150,198,182,164,192,212,212,213,212,211,213,214,215,201,179,169,161,162,160,156,148,148,144,130,151,149,140,142,142,172,150,152,195,213,214,214,213,212,216,210,191,168,148,145,152,155,164,164,160,143,132,121,114,106,112,116,110,122,150,186,193,215,215,215,216,216,199,182,178,170,144,123,131,137,131,117,113,97,92,108,132,151,169,179,191,200,202,197,194,216,216,218,216,188,172,176,173,159,138,101,88,69,100,161,167,175,182,201,214,213,211,208,205,201,199,197,197,216,219,216,183,168,174,177,173,171,163,132,83,54,90,164,196,220,220,211,209,206,205,204,204,202,201,199,198,221,216,188,173,179,183,183,183,185,170,114,71,70,64,59,65,92,198,215,210,211,208,207,206,204,202,201,199,202,179,179,187,186,187,184,174,179,136,74,62,65,70,74,72,48,123,226,210,212,211,208,206,205,204,202,199,174,179,189,187,184,185,170,164,170,134,100,69,47,60,68,73,67,55,195,219,212,211,209,207,206,204,202,200,180,184,188,190,188,174,165,171,172,174,156,99,56,56,55,55,66,126,210,213,211,212,210,208,206,205,203,202,182,184,190,190,181,166,166,169,166,172,146,86,63,64,67,49,157,232,213,213,213,212,211,210,208,206,204,203,181,188,190,179,168,164,162,158,155,151,117,67,55,60,68,41,155,230,213,216,213,211,212,210,209,207,205,204,184,182,170,168,169,164,163,152,139,140,130,87,46,54,51,110,211,216,213,213,212,211,211,208,206,204,201,201,172,161,159,165,160,151,142,135,139,155,160,109,62,70,48,166,232,215,214,212,212,211,210,207,207,208,210,203,161,160,161,152,138,133,133,140,148,158,147,93,63,60,42,170,227,214,213,213,212,211,211,214,201,179,143,108,160,158,148,138,134,135,134,129,126,123,91,56,65,75,151,223,218,224,224,220,215,213,214,164,95,67,59,56,148,135,123,131,134,132,115,96,82,70,66,132,193,214,226,223,215,183,169,123,109,110,99,66,61,64,49,55,111,87,81,101,111,104,86,73,76,117,172,227,222,218,218,216,132,83,74,40,49,49,44,53,47,57,48,35,69,53,68,91,92,89,85,89,106,125,127,119,121,127,125,102,74,68,67,51,36,54,41,46,39,43,43,29,57,72,121,118,118,119,118,116,116,111,110,110,95,83,68,60,58,56,45,56,28,45,38,36,38,40,34,30,53,102,133,122,123,129,125,119,125,124,126,112,71,53,61,55,47,49,45,50,32,31,36,32,36,39,28,34,59,111,120,118,120,121,118,116,118,114,95,64,57,40,49,53,43,42,40,42,37,21,33,31,35,37,24,34,68,117,117,118,122,120,117,118,111,89,74,42,50,42,37,51,38,38,34,36,38,20,30,31,34,35,25,34
11,126,131,136,139,143,146,149,152,154,156,158,159,161,164,165,167,168,169,171,172,172,173,174,174,174,173,173,173,127,132,138,141,145,147,150,152,155,157,159,162,163,165,167,168,169,171,171,173,174,175,175,175,175,175,175,175,128,133,139,143,146,148,151,153,156,158,160,163,165,167,168,169,171,173,173,175,176,176,176,176,176,176,176,176,129,134,139,143,147,149,152,154,157,159,162,164,166,168,169,169,156,167,175,176,176,176,177,177,177,177,177,177,130,134,139,143,147,150,152,155,159,161,164,166,167,169,170,173,135,136,177,177,177,177,179,179,179,178,178,178,129,134,140,144,148,151,153,156,159,163,165,167,168,170,170,180,134,125,177,178,179,179,179,179,179,179,178,179,130,135,140,145,149,151,154,156,159,163,166,168,169,171,172,182,121,133,179,179,179,180,181,181,180,180,179,179,131,136,141,146,150,152,154,157,160,163,166,168,169,170,179,179,116,147,180,181,181,182,182,182,181,181,181,180,132,137,143,146,150,153,155,158,160,163,166,168,169,172,186,159,111,160,181,181,182,182,182,182,181,182,181,181,132,138,143,147,150,153,156,159,161,164,166,169,169,168,179,127,111,173,181,181,181,182,182,182,182,182,182,181,132,137,142,147,152,154,157,160,163,165,165,171,178,136,126,109,126,180,180,181,182,182,183,183,182,182,182,181,133,137,143,147,151,157,162,159,151,174,160,135,155,128,98,98,152,182,181,182,183,183,183,183,183,183,183,182,133,138,144,147,161,183,185,164,115,145,150,109,132,121,90,96,171,181,181,183,183,183,184,184,184,183,183,183,133,138,143,153,177,163,172,163,110,134,135,104,145,116,80,111,181,182,182,183,183,184,185,185,185,184,183,182,134,139,143,163,159,141,152,156,107,129,120,109,143,103,74,129,184,182,182,183,183,185,185,185,185,185,184,182,135,140,147,176,151,121,129,142,98,118,104,115,128,91,73,140,184,182,182,182,184,185,186,186,185,185,185,183,135,138,160,182,152,124,124,112,92,111,89,119,115,78,67,141,185,182,182,181,177,173,174,183,187,186,185,185,135,139,179,178,150,126,112,102,103,103,74,131,101,69,76,120,173,176,173,167,159,151,137,140,171,187,185,185,135,143,190,173,149,130,110,96,118,96,64,106,98,102,120,126,150,165,169,163,150,135,127,120,120,178,187,186,135,145,185,173,156,138,116,108,118,124,131,142,150,151,145,148,158,151,139,132,129,143,157,149,137,177,187,186,135,144,181,175,162,145,124,124,146,165,160,159,157,153,138,131,131,119,137,162,178,186,188,187,185,187,187,186,134,145,189,177,162,145,126,132,158,165,154,158,151,137,112,107,124,160,184,187,187,186,187,188,188,188,188,187,134,153,193,166,151,134,125,133,150,152,151,146,129,105,101,141,176,185,186,186,186,187,188,188,188,188,188,188,132,162,177,146,139,132,131,134,135,140,138,117,96,110,157,181,183,184,185,185,186,186,187,188,187,187,188,187,131,169,172,146,140,145,138,136,125,122,111,94,127,169,178,179,181,182,182,182,183,185,186,186,186,186,187,188,134,179,178,146,141,158,142,129,112,101,93,136,172,176,176,177,179,181,181,182,183,183,184,185,188,198,203,204,138,185,180,143,142,160,140,120,99,83,121,169,172,175,176,177,179,179,181,182,182,183,185,185,202,209,211,203,139,186,180,139,142,158,138,118,90,83,152,169,171,173,174,176,178,179,180,182,182,183,184,183,176,159,188,200
22,194,195,195,194,195,196,196,195,195,196,196,196,195,194,193,191,192,192,191,189,188,188,186,185,183,182,180,178,197,198,198,198,198,199,199,198,198,198,202,199,197,196,197,198,194,194,192,192,192,191,188,187,186,184,183,181,200,200,201,201,201,201,201,200,200,202,177,196,202,199,190,182,198,196,195,195,193,192,191,189,190,189,184,183,202,202,203,203,204,204,204,203,203,201,157,168,208,202,200,144,190,201,198,197,197,195,192,194,169,177,190,185,204,204,205,206,205,206,206,206,204,200,173,143,208,202,206,144,172,207,199,199,198,196,195,201,150,144,196,186,206,206,208,209,207,207,209,207,206,205,188,132,198,206,206,144,155,211,200,201,199,197,200,197,136,152,198,190,208,209,210,211,210,210,211,210,210,206,190,127,184,213,208,149,147,211,202,203,202,199,205,184,127,170,199,191,211,211,211,211,212,212,212,211,212,209,199,147,162,218,212,159,140,210,205,206,203,202,209,167,126,191,196,193,213,212,212,213,213,214,214,212,213,213,208,166,143,218,213,151,131,209,207,207,204,208,204,153,140,205,196,195,215,214,214,215,215,215,215,215,215,215,212,175,123,210,216,148,129,208,210,208,205,207,187,129,167,207,198,198,216,216,216,216,217,216,215,216,217,217,211,190,126,181,222,159,132,205,214,209,207,199,165,119,199,203,199,198,217,217,217,217,217,217,217,217,217,219,207,195,161,140,216,164,129,204,217,211,212,203,145,146,214,202,202,200,218,218,218,218,218,218,218,218,218,219,214,200,183,152,190,166,142,183,218,214,209,189,130,185,212,204,204,204,220,220,220,220,220,220,220,220,220,221,221,204,202,211,206,190,196,146,149,203,203,160,131,211,208,206,205,203,221,221,221,221,222,221,221,221,222,222,223,212,204,191,182,185,193,151,118,127,156,126,162,220,207,207,206,204,222,222,222,222,222,222,223,223,223,222,223,219,213,170,108,137,187,165,142,133,134,103,192,218,211,210,207,205,223,223,223,223,222,223,224,224,223,223,223,220,204,154,117,98,149,171,156,151,148,99,197,219,212,211,210,208,224,224,224,224,225,224,224,225,225,224,224,217,202,178,144,107,104,111,136,151,132,94,165,225,212,213,210,209,226,226,226,226,227,227,226,227,228,226,225,213,205,184,138,110,116,117,139,179,154,114,119,221,213,213,211,210,227,227,228,227,227,228,227,228,229,229,226,212,205,174,139,119,120,144,197,204,183,145,94,176,223,212,212,211,227,226,227,227,227,227,228,228,228,228,227,214,207,187,153,124,125,172,215,221,201,174,102,145,226,212,213,211,227,226,227,227,227,227,228,228,228,228,227,212,206,192,159,124,133,189,219,216,198,162,98,158,225,210,212,211,227,227,228,228,228,229,229,229,229,229,229,209,200,204,164,129,141,203,221,202,176,145,90,186,220,211,211,209,228,229,229,229,229,229,230,230,230,230,229,206,197,200,166,132,141,211,210,187,157,133,102,208,218,212,213,217,228,228,228,228,228,228,229,229,230,229,230,205,192,191,166,130,132,199,197,183,150,117,116,218,216,221,213,167,233,234,235,235,235,236,237,237,236,235,238,217,191,191,166,135,133,193,194,174,137,96,146,235,213,175,126,87,171,174,178,183,186,189,193,194,197,202,207,205,192,186,164,149,130,183,189,157,121,91,170,176,120,89,87,85,133,133,133,135,134,132,133,132,131,134,132,143,196,186,163,151,125,155,160,127,102,90,103,91,75,84,92,79
18,174,175,176,177,178,179,180,180,180,181,181,181,180,180,180,179,177,177,178,177,176,174,175,174,173,173,171,170,175,177,179,179,179,180,182,182,182,182,182,182,182,180,181,180,179,179,179,178,179,177,176,175,175,174,172,171,176,180,181,181,181,181,183,184,183,184,183,183,182,182,182,182,182,181,179,182,181,178,176,176,175,175,174,173,177,180,182,183,182,183,184,184,184,186,186,184,185,184,184,183,184,180,185,166,170,181,179,179,177,176,176,175,180,182,183,183,184,185,186,187,187,188,188,186,187,188,187,184,183,186,212,134,129,189,179,180,179,178,177,176,182,183,184,184,186,187,187,188,187,188,188,187,186,184,185,190,176,192,220,140,91,187,181,182,180,181,178,178,183,184,185,187,188,189,190,190,189,190,189,192,199,160,129,158,139,155,221,175,88,134,195,180,182,183,181,180,185,187,187,188,189,190,191,192,192,192,190,191,202,191,145,114,122,167,221,183,117,78,165,189,181,183,182,181,186,187,187,189,190,192,194,194,193,191,197,167,121,155,174,128,94,125,190,187,141,118,90,169,190,184,184,182,187,189,190,190,192,194,195,193,197,212,200,171,132,86,160,142,96,74,103,162,156,129,89,105,198,183,185,183,187,190,191,192,194,194,195,192,222,219,218,176,147,95,107,134,86,61,61,156,176,133,100,98,197,185,186,185,188,191,193,194,194,197,192,210,210,198,219,179,151,105,71,92,80,57,56,169,184,153,99,101,198,186,187,187,189,192,194,195,197,196,200,234,212,181,193,170,147,100,67,78,68,59,53,142,182,164,102,92,198,189,190,187,191,194,196,196,197,198,219,210,182,183,185,128,107,85,73,104,54,51,65,152,182,165,106,91,199,189,190,190,192,195,196,199,195,209,234,206,166,148,158,97,91,72,98,100,81,130,133,149,172,147,100,87,199,191,191,191,194,196,197,198,197,210,237,217,194,140,114,132,95,32,106,148,179,180,174,132,132,129,103,77,190,194,192,191,195,197,198,201,196,222,235,223,197,152,119,129,76,55,195,208,196,171,155,138,102,120,107,72,185,198,194,194,196,197,200,201,201,230,234,214,170,149,135,119,86,171,221,203,191,166,134,138,105,103,92,83,199,195,195,194,197,198,200,200,207,232,232,205,171,162,127,94,152,215,208,197,178,159,138,127,111,95,67,138,207,195,195,194,196,199,201,201,211,233,230,200,171,170,124,134,190,217,201,187,176,159,131,120,106,82,73,194,199,198,196,196,197,199,201,202,213,231,224,202,184,182,125,167,184,207,194,177,171,149,118,110,98,61,122,209,196,198,196,196,198,200,203,201,213,227,220,204,196,164,132,140,182,183,183,170,159,134,112,100,84,62,184,204,198,198,197,197,199,202,203,201,213,228,219,213,193,149,115,137,166,172,167,163,145,124,102,91,56,125,212,198,201,200,198,198,200,202,203,203,217,216,211,206,167,122,114,150,158,168,161,149,132,107,88,65,79,200,203,203,204,201,200,200,199,199,203,203,221,213,207,193,167,146,144,149,161,164,155,134,119,99,75,59,179,209,201,204,203,202,200,199,205,210,204,206,230,224,223,208,195,177,157,136,156,161,141,116,103,86,52,153,214,202,205,204,203,202,201,200,174,157,199,219,231,222,221,207,185,165,152,127,146,151,124,106,94,60,138,215,204,205,204,204,204,202,202,201,109,72,84,181,224,220,216,201,177,149,144,127,142,135,112,100,66,115,219,206,207,206,206,205,205,204,203,203
1,166,167,169,169,171,170,169,169,169,168,167,166,167,166,166,168,166,162,160,160,158,156,153,152,150,149,146,145,167,167,169,170,171,171,171,170,169,168,167,168,166,168,168,140,152,164,159,159,158,156,153,153,151,149,147,146,167,167,169,171,171,172,172,172,171,170,169,171,166,132,150,117,107,172,163,159,158,157,155,154,152,150,149,147,168,170,171,171,172,173,172,172,172,171,170,171,170,108,109,131,81,108,128,166,159,158,156,155,153,151,150,149,170,172,173,173,174,175,174,175,174,173,172,172,167,101,111,130,63,90,88,160,163,159,157,156,153,151,150,149,172,174,174,175,175,176,176,176,176,174,172,177,160,89,121,119,61,110,83,147,166,159,159,157,156,154,153,152,174,175,175,178,179,179,178,178,178,178,138,148,156,87,135,121,67,117,76,138,170,161,161,159,157,156,154,152,175,177,179,179,179,180,180,180,178,182,126,112,160,92,134,115,69,123,83,136,172,163,164,162,159,158,156,153,178,180,180,180,181,181,181,181,181,179,109,117,140,84,135,97,78,136,86,130,174,164,165,163,160,159,158,157,179,180,181,182,183,183,183,182,184,174,94,127,123,85,140,95,98,139,74,131,177,166,166,165,162,160,158,158,180,180,181,183,184,185,185,184,186,175,96,128,137,91,143,108,96,135,76,138,178,169,168,167,164,162,159,158,181,182,183,184,185,186,186,185,190,166,83,128,147,89,136,108,87,139,91,135,180,170,169,168,166,163,161,159,181,183,185,185,186,187,188,185,192,167,88,124,137,72,116,82,85,144,85,133,184,170,171,168,167,164,163,160,182,185,187,187,187,188,189,186,193,174,93,106,135,96,115,124,122,107,85,115,174,173,171,170,168,165,164,162,184,186,187,188,189,190,189,188,194,163,111,127,123,127,123,128,130,93,94,77,113,182,170,170,169,166,165,164,185,186,187,189,191,192,192,192,194,172,150,122,98,107,110,118,116,105,87,91,89,170,174,170,169,166,165,164,186,187,188,190,191,192,193,193,198,176,135,99,92,95,114,126,106,97,117,133,89,140,182,171,170,166,165,163,187,188,189,191,192,192,193,195,200,171,129,93,94,100,123,131,134,142,129,143,112,110,182,172,172,168,165,164,188,188,190,192,193,193,194,195,196,175,135,95,95,107,128,140,150,167,136,131,127,87,171,176,171,171,167,165,188,189,192,193,193,194,195,196,192,175,144,105,86,110,130,145,149,151,148,121,100,66,164,177,171,170,168,166,189,190,191,193,194,194,195,196,190,179,154,119,92,96,132,158,159,153,133,110,84,73,177,175,172,170,169,167,188,189,191,194,195,195,196,197,189,173,152,122,100,96,138,167,160,147,126,105,68,113,189,174,173,171,170,167,189,191,192,194,195,196,197,198,188,170,153,129,106,108,147,165,152,138,117,97,62,158,185,176,174,172,171,167,189,192,194,195,196,196,197,199,194,173,155,140,120,118,154,160,152,132,109,76,85,188,178,178,175,174,172,169,190,192,193,196,197,197,199,200,199,177,158,146,130,117,144,148,137,118,97,51,144,191,179,179,177,175,172,171,191,193,194,196,198,199,199,200,200,187,165,151,135,115,129,133,115,99,57,94,191,183,181,180,178,175,173,171,191,193,194,195,195,197,200,201,199,191,169,143,132,124,123,119,98,62,88,189,188,184,181,180,177,174,173,171,191,194,194,195,195,199,201,202,193,188,170,147,148,128,115,105,73,60,176,194,185,185,181,180,177,174,173,171
14,194,194,194,195,196,196,196,196,196,196,195,194,194,193,191,191,190,188,188,187,185,184,183,182,181,179,177,176,195,195,196,196,197,198,198,198,198,198,198,196,195,195,194,193,192,190,189,189,189,186,185,184,183,182,181,179,196,198,198,199,200,201,201,201,200,199,199,198,197,196,195,194,193,192,190,190,189,188,187,186,184,182,181,180,198,199,200,201,201,202,201,201,202,202,200,200,201,197,195,194,194,194,192,191,190,189,188,187,186,183,182,181,199,200,201,202,202,203,204,203,204,205,204,199,191,201,202,202,197,195,195,193,192,190,189,188,187,186,184,182,201,202,203,204,204,205,206,206,203,191,182,174,132,144,151,176,195,200,199,195,194,192,190,189,189,187,185,183,203,203,204,206,205,206,207,201,181,162,141,118,94,102,121,127,149,162,183,198,195,194,193,191,191,189,187,185,204,204,205,206,206,207,208,197,169,131,103,94,97,91,107,120,131,114,145,209,195,195,194,192,191,190,188,186,204,206,207,208,207,203,198,178,139,87,82,85,86,83,87,90,106,92,109,183,200,195,195,194,191,190,189,188,205,207,208,209,209,194,182,151,104,87,80,80,84,84,87,86,93,103,102,110,195,198,196,195,194,193,189,188,206,208,209,209,208,189,168,113,88,91,86,85,85,81,83,85,86,102,96,122,207,198,197,195,194,193,191,190,209,209,209,209,210,195,171,108,86,85,85,90,84,103,184,171,176,112,96,105,174,205,198,196,195,194,193,191,208,211,211,211,211,196,172,119,84,81,82,90,79,166,222,213,218,194,139,109,117,144,189,200,195,194,193,191,210,210,211,211,210,196,170,115,90,92,85,74,142,218,209,209,207,213,194,129,133,113,166,206,195,195,195,194,210,211,211,213,210,201,173,121,101,98,90,95,210,214,213,211,210,208,149,134,133,113,182,204,198,197,195,195,211,212,213,215,211,203,182,139,111,95,86,108,216,212,213,211,215,178,129,134,120,122,206,201,200,198,196,195,211,214,215,214,208,202,187,143,117,97,79,134,229,213,212,215,204,132,123,130,103,157,211,200,201,199,198,196,212,214,215,214,204,204,186,150,123,97,83,105,190,214,220,216,161,125,116,118,92,191,206,203,202,200,198,196,211,214,215,213,205,201,184,152,121,97,94,91,100,122,185,166,124,132,125,92,150,212,203,204,203,201,199,197,212,214,216,212,204,207,187,151,127,102,93,98,105,107,111,110,118,126,104,132,214,206,205,203,202,202,200,197,213,214,217,210,204,212,186,150,127,104,91,98,106,113,117,111,114,116,113,208,210,207,206,204,202,201,200,199,214,215,218,208,206,209,181,146,129,107,91,99,106,109,117,118,108,94,183,218,208,208,206,205,203,202,200,199,215,216,218,207,207,204,177,145,134,111,91,98,109,113,115,117,94,134,219,209,209,209,207,206,203,202,201,199,214,215,217,206,208,198,172,148,135,111,91,101,113,117,118,102,109,215,213,211,210,210,208,207,206,203,201,200,215,216,217,205,204,187,167,144,131,109,90,101,114,113,112,83,160,226,211,214,212,209,208,207,206,203,201,200,216,217,217,204,197,184,164,142,128,109,92,100,110,111,94,106,217,215,214,214,213,210,209,208,206,205,202,200,215,218,216,205,191,183,159,137,121,107,92,98,105,101,85,189,224,215,215,214,213,211,209,208,206,205,203,201,215,216,215,204,186,178,155,134,115,102,91,95,95,83,168,228,216,217,216,214,213,210,210,208,207,204,202,201
19,170,172,174,174,175,177,178,177,178,179,179,179,178,178,176,174,171,173,174,173,173,173,172,172,171,170,170,169,172,173,175,176,177,178,179,179,179,180,180,180,180,179,178,168,148,155,174,175,175,174,174,173,172,171,171,170,173,174,176,178,179,180,181,181,181,181,181,182,182,182,185,165,129,123,168,177,177,176,175,175,173,173,172,172,174,176,178,180,181,181,182,183,183,182,182,183,183,186,191,167,129,109,160,179,179,178,177,177,175,174,174,174,176,178,180,181,182,183,184,184,184,184,184,185,184,190,190,161,124,103,158,179,179,178,178,178,175,175,175,176,177,179,181,182,183,185,186,185,185,185,185,185,185,192,186,150,119,108,159,177,177,175,181,188,168,171,177,177,179,180,182,184,185,186,187,187,187,186,186,186,186,190,183,158,148,155,176,176,178,177,184,190,151,165,177,178,180,181,184,186,187,187,188,187,187,188,189,192,194,192,184,175,177,184,182,170,166,164,155,148,146,172,179,179,182,183,185,187,188,189,189,189,189,195,201,207,207,198,183,169,161,151,144,135,132,134,139,152,170,179,180,180,184,185,187,188,190,192,195,196,197,204,209,208,202,192,183,176,159,119,117,139,153,163,174,181,183,183,182,181,186,187,188,190,191,198,208,205,201,200,202,202,199,195,191,185,163,115,132,177,184,185,185,185,185,184,183,182,187,188,189,191,192,205,215,207,200,200,205,207,205,199,193,184,155,107,121,180,188,187,187,186,185,185,184,183,188,189,191,193,194,205,211,200,195,200,205,206,201,196,193,190,164,106,101,167,188,188,187,186,186,186,185,184,189,190,193,194,195,205,204,194,193,193,191,194,197,198,193,191,168,107,85,146,187,189,188,187,186,186,186,185,191,192,194,195,198,206,198,195,195,189,186,196,198,193,186,179,151,100,77,128,186,191,190,189,187,187,187,186,192,193,195,196,199,204,204,204,202,201,202,203,195,186,181,171,142,96,72,118,185,193,192,190,189,188,188,187,193,194,196,198,199,203,215,212,204,202,199,189,182,182,186,188,169,111,77,135,189,193,193,192,190,189,189,188,195,196,198,200,200,201,214,213,200,192,179,165,178,195,195,187,171,118,96,165,194,195,194,193,192,191,190,189,195,197,199,200,201,200,204,208,200,193,184,186,198,196,181,167,149,106,97,170,196,196,195,195,194,193,192,191,196,198,200,201,202,201,201,207,211,205,197,197,194,180,164,146,122,93,109,178,196,196,196,196,195,194,193,192,197,199,201,202,204,203,201,205,211,202,189,186,176,159,136,107,87,105,159,193,198,197,197,197,196,195,195,194,199,201,202,203,205,205,200,202,204,193,177,167,149,125,98,75,80,149,195,200,199,198,198,198,197,196,195,195,199,201,203,205,206,206,199,199,198,185,166,152,134,107,83,74,109,184,202,201,201,200,200,199,198,196,196,195,199,201,204,206,207,206,198,193,193,180,159,144,130,102,81,77,119,193,203,203,202,202,201,201,200,198,197,196,199,201,204,206,207,207,198,188,185,176,156,136,114,92,81,76,104,185,204,203,203,202,202,201,200,198,197,196,199,201,203,205,207,207,196,186,180,175,162,141,113,92,82,76,100,181,203,203,202,201,201,200,200,198,196,195,200,201,203,205,206,206,192,188,184,175,160,140,113,92,82,77,108,186,203,203,202,201,201,200,199,198,196,195,200,202,204,206,207,206,190,194,196,183,157,130,105,87,80,79,129,195,204,203,202,201,201,201,200,198,197,196
20,110,113,115,118,120,122,124,125,126,127,128,128,128,128,131,132,130,131,132,131,131,133,132,132,132,132,131,129,113,116,119,122,124,125,127,128,130,131,132,132,130,143,114,121,137,133,133,134,134,135,135,135,136,135,133,133,116,119,122,124,126,129,131,132,133,134,135,135,135,164,98,93,136,136,136,137,137,137,138,138,138,137,136,134,118,122,125,127,130,133,133,134,136,137,138,137,141,164,101,83,110,110,146,139,140,140,141,141,140,139,138,137,121,125,129,131,133,134,136,137,139,139,141,141,144,161,98,102,128,82,148,143,142,142,143,143,143,142,141,140,125,127,131,133,135,137,139,140,141,142,143,144,147,163,101,113,139,77,140,147,145,145,146,146,146,144,143,143,126,130,133,135,138,139,141,143,144,145,146,144,151,167,106,114,150,80,136,152,148,148,149,148,147,147,146,145,128,131,134,138,140,143,144,145,146,147,149,145,157,165,106,113,160,87,128,156,149,150,151,151,150,151,149,148,131,133,136,139,142,145,146,148,150,150,150,148,164,168,110,119,160,93,118,159,151,153,153,153,153,153,151,150,133,135,139,142,144,147,149,150,152,153,151,128,155,179,108,123,169,100,112,164,153,156,156,156,156,155,154,152,134,137,140,143,146,149,151,151,147,159,171,130,116,136,91,112,173,107,111,165,155,158,158,158,157,156,156,155,136,140,143,145,148,151,152,157,148,132,169,152,96,76,64,97,148,107,108,166,158,160,159,159,158,158,158,156,138,141,145,147,150,154,154,163,171,129,131,152,118,113,89,87,119,103,104,168,160,162,162,161,161,161,160,158,139,142,146,149,152,155,157,155,152,132,103,143,135,146,131,81,82,94,96,168,161,163,162,162,162,162,161,161,141,145,147,151,154,157,158,153,126,129,90,152,136,139,136,89,61,69,93,170,161,164,164,164,164,163,162,162,142,146,150,152,155,157,158,160,153,131,107,111,99,72,137,113,72,51,86,170,164,166,167,167,166,165,163,163,143,146,150,153,156,159,159,168,147,104,75,50,51,40,117,144,94,57,70,169,167,168,168,168,167,167,165,164,144,148,151,154,157,161,162,168,150,119,89,74,73,77,135,168,120,77,64,160,171,168,169,169,168,167,168,167,146,148,151,155,158,161,161,169,163,123,95,88,100,141,178,160,123,94,67,157,173,169,170,171,170,170,169,169,146,149,153,156,159,162,162,170,166,132,104,106,117,167,178,150,111,85,71,166,173,170,171,171,171,170,170,169,146,151,154,157,160,163,162,171,173,147,124,113,122,174,164,137,101,71,76,173,172,171,173,173,172,172,171,171,148,151,156,159,162,164,163,169,178,154,127,122,126,175,158,124,94,69,79,175,173,174,175,174,173,174,173,171,148,152,156,159,162,164,164,165,172,151,138,142,128,172,153,113,85,66,88,177,173,175,175,175,174,174,174,171,147,151,155,158,162,163,164,164,159,153,139,143,122,163,139,106,80,60,99,182,172,174,174,175,175,175,174,173,148,152,156,159,161,163,164,165,162,153,138,140,111,144,122,93,80,58,117,182,172,173,174,175,175,175,174,174,149,153,156,159,161,163,164,164,166,157,132,122,93,125,106,89,81,64,154,178,173,174,176,175,175,174,174,174,149,153,156,159,161,163,165,162,167,158,134,109,99,131,97,96,69,100,179,174,175,175,176,176,175,175,175,174,149,154,157,159,161,163,166,162,169,166,145,125,120,131,89,92,60,148,178,174,175,176,177,176,176,176,175,174
12,133,137,140,143,145,147,150,152,154,155,156,155,157,159,158,155,155,158,160,154,156,154,154,155,154,153,152,151,134,137,141,143,145,149,151,153,154,155,157,158,157,150,149,162,158,134,136,161,157,158,158,154,155,155,154,153,135,137,141,144,147,149,152,154,155,157,159,156,168,155,124,135,170,151,106,126,148,122,142,160,156,156,155,154,136,140,142,146,148,151,154,155,157,159,159,159,186,183,160,115,122,180,149,89,100,126,94,151,160,157,157,155,138,141,144,146,149,153,154,156,157,160,156,178,171,174,172,129,76,142,152,97,61,115,97,97,165,157,158,158,140,142,145,148,151,154,155,158,160,160,157,187,144,160,172,118,73,131,140,94,62,93,100,66,155,161,158,158,141,143,147,149,153,155,157,161,159,162,165,126,104,163,153,106,66,137,132,85,67,101,89,71,160,160,160,159,142,146,148,151,154,157,160,159,168,186,167,107,72,115,145,123,57,125,159,102,69,124,94,85,168,159,159,159,144,147,150,153,155,159,158,172,186,178,170,124,73,77,154,119,47,130,169,94,76,157,95,114,171,160,161,160,146,148,152,155,159,159,171,186,150,152,178,129,73,41,115,105,26,74,156,84,66,135,96,152,167,163,163,162,147,151,154,157,161,161,183,179,151,133,163,121,77,38,51,54,50,77,89,102,107,114,71,139,172,163,164,164,149,153,156,159,160,169,175,150,128,97,146,121,80,43,50,55,129,171,137,134,117,106,87,95,174,164,164,164,150,155,158,161,162,165,181,157,135,86,125,122,77,48,60,102,153,164,154,132,107,82,96,78,160,170,165,165,152,157,159,163,163,167,183,161,139,101,103,124,99,54,84,142,162,158,151,134,106,82,79,77,166,170,167,166,155,158,161,165,165,176,187,168,147,122,87,115,115,65,142,169,165,160,157,120,100,81,54,112,179,167,166,165,158,161,164,167,167,182,188,174,155,129,103,96,94,119,173,171,172,170,146,105,94,72,60,162,172,172,175,174,159,163,166,168,168,184,185,177,161,135,125,110,107,148,161,167,175,165,128,98,90,53,105,191,175,160,133,104,162,165,167,170,170,180,182,181,165,143,137,121,115,143,148,170,174,152,114,92,81,54,138,126,86,56,40,38,165,168,169,171,173,173,184,182,167,151,146,130,119,150,145,173,167,133,102,84,72,52,50,34,31,33,35,33,166,170,172,174,177,171,182,177,166,155,152,136,122,149,159,155,147,116,90,77,63,35,32,32,33,31,35,27,169,172,174,176,180,174,177,178,167,156,147,138,130,140,157,139,123,102,83,75,42,20,37,34,23,26,37,32,170,172,175,177,181,173,172,182,167,154,144,134,123,127,144,130,111,94,78,65,32,13,27,41,26,18,29,37,170,173,175,177,182,172,175,180,161,148,142,132,117,126,137,122,96,86,72,47,43,16,15,33,37,20,20,33,172,175,178,180,184,173,177,176,146,137,138,126,115,128,127,111,83,76,38,26,44,30,5,20,35,30,15,22,173,176,179,182,185,171,177,182,146,144,146,134,124,130,115,98,79,59,22,15,35,40,8,8,26,35,24,14,174,178,180,181,189,155,173,184,153,160,157,138,123,126,108,93,73,40,31,12,23,39,20,2,15,32,32,16,179,182,185,184,199,109,155,189,168,179,161,132,124,124,103,88,64,32,29,17,10,31,29,2,6,25,33,25,154,158,162,165,176,78,96,183,169,174,149,122,128,123,99,86,52,37,26,19,4,26,31,7,1,18,31,30
7,139,139,139,140,138,139,138,137,136,134,135,134,133,132,131,131,130,129,128,127,125,124,123,122,121,119,118,117,141,141,140,140,139,139,139,139,138,136,136,136,134,133,134,133,132,130,129,128,127,126,126,123,123,121,120,119,144,143,142,142,141,140,140,140,139,139,138,137,136,137,136,133,133,132,131,131,129,127,127,125,125,123,121,120,145,144,144,144,144,143,142,142,141,140,140,139,139,138,137,136,135,133,133,132,131,129,128,127,126,124,123,121,146,146,145,146,145,144,144,144,142,142,141,140,140,140,139,137,136,135,134,133,132,131,130,129,127,126,124,124,148,148,147,147,146,146,145,144,144,144,142,142,141,141,141,138,139,138,135,134,134,133,132,130,127,127,126,125,149,149,148,148,148,147,147,147,145,145,144,143,142,141,142,141,140,139,138,136,134,134,133,132,131,129,127,126,152,151,150,150,150,149,148,147,145,145,148,149,147,145,144,142,141,141,140,138,137,136,134,133,133,131,128,128,152,153,151,150,151,151,147,155,138,113,134,123,134,143,148,148,147,142,139,139,138,137,135,134,134,132,130,129,152,152,153,152,152,150,150,169,146,154,143,83,70,85,105,116,128,143,147,143,140,138,137,136,135,135,132,130,154,153,154,154,154,151,160,162,158,170,142,98,84,71,68,78,78,87,109,133,139,142,140,138,136,134,133,131,155,154,155,155,154,153,163,157,164,161,141,136,139,102,64,64,70,70,68,69,82,94,111,129,140,135,134,133,157,156,156,157,153,158,165,165,168,157,150,155,144,118,90,67,67,68,61,66,66,68,65,95,141,138,136,134,157,158,157,158,155,162,164,169,165,155,154,151,138,131,120,92,64,67,61,62,69,70,68,64,81,104,134,135,158,156,158,156,159,166,170,163,157,153,147,142,143,144,129,102,72,63,68,65,74,69,63,59,57,67,128,138,160,159,159,156,159,167,171,164,156,150,136,138,146,144,127,97,77,69,58,82,140,129,114,106,103,117,138,137,160,160,160,153,163,168,168,157,152,148,139,140,145,131,112,91,75,73,66,77,149,149,149,148,146,144,139,138,161,160,160,152,169,173,165,148,149,150,142,138,130,106,99,89,72,76,82,72,132,150,144,144,143,142,141,139,162,162,154,153,175,170,160,149,148,143,136,131,109,101,101,86,79,75,74,102,147,148,145,145,143,142,140,139,162,164,148,159,174,164,154,155,146,138,133,118,105,107,96,85,62,55,99,145,151,148,148,146,144,142,141,140,163,160,144,168,168,157,153,152,136,134,125,112,113,105,87,81,81,125,154,152,149,149,149,147,144,142,141,140,166,148,150,170,163,154,153,144,137,129,119,115,108,96,77,120,158,157,153,151,151,151,148,147,145,144,142,140,162,140,161,163,159,154,147,143,132,119,118,109,98,80,97,157,157,154,154,154,153,151,149,148,146,144,144,141,152,148,162,157,158,156,138,128,116,113,110,99,84,90,148,160,155,155,154,154,153,151,151,149,147,145,144,142,145,158,157,156,158,144,122,112,105,100,95,84,98,149,162,157,157,156,156,153,152,152,152,149,147,146,144,143,144,158,161,165,140,123,112,100,92,85,77,89,154,163,158,159,158,156,156,154,153,153,152,150,147,146,145,143,148,150,164,153,119,125,106,87,81,77,83,140,165,159,160,159,158,157,156,156,154,153,151,150,149,147,145,144,148,148,154,140,123,130,105,80,74,83,148,166,163,161,160,159,158,158,157,156,154,153,152,151,149,147,146,144
4,117,119,121,124,126,128,131,132,132,134,135,135,136,138,138,137,137,137,136,135,136,135,135,135,135,134,133,133,117,120,122,126,127,129,131,133,133,135,136,137,137,139,139,137,138,139,138,136,137,135,135,135,136,136,135,134,118,121,124,126,127,130,131,133,135,135,138,138,138,138,140,141,139,139,140,139,138,137,137,136,137,136,135,133,120,123,125,127,129,131,133,134,137,136,137,139,137,147,136,127,142,143,131,141,141,139,138,139,137,135,135,135,121,124,126,128,131,133,134,135,136,136,139,134,158,163,133,100,138,152,112,106,143,142,141,139,139,137,136,136,121,125,128,129,131,133,135,138,133,166,168,132,142,176,134,104,155,150,122,66,127,127,132,144,140,138,137,137,122,126,128,131,133,134,137,136,143,195,193,150,96,171,139,100,175,154,100,91,148,99,76,136,141,138,139,139,125,128,128,133,135,134,139,133,164,186,185,137,89,165,140,106,166,143,126,147,115,89,50,96,148,138,140,140,125,127,130,134,136,138,139,136,181,159,174,121,75,140,150,151,150,170,195,160,90,58,49,84,150,141,142,141,125,130,132,134,136,140,137,146,185,149,160,133,56,122,134,155,170,180,172,154,120,64,35,98,151,141,142,141,126,130,133,134,137,140,135,173,182,143,135,136,48,108,106,79,132,153,141,157,134,83,35,111,151,142,143,143,126,130,133,136,138,137,144,189,155,124,116,85,49,112,107,50,141,110,125,173,143,99,53,132,148,144,144,143,128,132,134,137,139,134,159,192,144,111,104,88,74,90,88,61,134,78,98,197,160,116,64,137,149,145,145,145,128,132,134,137,141,133,174,194,145,109,90,74,77,82,82,94,105,112,127,187,172,125,63,98,155,145,146,145,128,132,135,138,142,135,188,191,145,106,86,74,82,80,105,129,141,173,169,157,157,119,81,69,151,147,148,147,130,133,136,140,141,140,196,190,141,101,102,88,79,72,119,150,172,169,164,147,114,123,91,74,149,148,148,147,130,133,136,139,140,148,203,186,137,116,125,98,81,115,166,181,172,168,152,126,93,98,70,99,156,147,148,147,127,131,134,139,138,151,205,184,150,150,138,102,140,182,195,184,170,161,135,109,87,72,63,135,151,148,148,147,129,132,135,140,138,155,204,191,172,163,148,113,170,190,195,191,155,144,122,102,82,56,95,156,148,150,149,148,129,132,136,140,138,155,205,198,180,158,152,123,174,195,193,179,141,124,111,97,73,61,142,153,151,151,149,148,131,133,136,141,141,146,202,197,181,159,146,138,176,191,175,158,130,109,103,85,55,103,158,150,151,150,150,149,131,134,137,140,142,143,195,188,172,164,148,143,162,170,153,133,116,110,99,66,65,149,155,153,151,150,150,148,130,133,137,140,142,143,191,175,163,168,156,143,154,162,145,123,104,104,88,53,119,159,151,152,151,149,148,147,130,134,137,141,144,142,185,165,162,166,150,130,150,164,141,111,90,92,69,91,159,155,156,153,152,152,151,150,125,128,131,133,138,134,181,173,167,158,147,128,141,163,127,92,82,79,70,134,145,142,143,141,140,139,141,134,75,75,75,75,78,69,175,188,176,162,150,133,130,157,117,85,77,68,61,69,68,67,67,65,65,68,59,74,63,65,65,64,69,54,163,202,181,167,160,138,117,154,125,84,68,62,60,58,57,58,56,56,57,48,90,164,71,71,72,73,77,60,148,203,178,161,157,138,107,147,126,79,65,59,63,65,63,62,63,64,54,103,181,172
10,89,94,99,96,80,67,71,42,36,60,64,70,77,92,101,107,112,119,124,129,135,138,140,144,145,148,150,152,96,102,106,99,86,70,80,38,43,62,66,70,97,126,102,108,114,121,126,131,135,139,142,145,147,149,150,152,106,112,116,103,92,72,87,33,48,63,67,70,130,149,94,108,117,124,129,133,136,140,144,146,148,150,151,152,116,122,124,107,98,76,90,30,54,64,69,72,122,156,96,99,122,127,132,135,139,144,148,150,151,152,152,153,125,132,131,111,101,82,91,29,58,66,69,73,105,158,110,89,125,133,137,141,144,149,153,155,157,157,157,157,133,141,137,115,104,90,86,30,63,67,71,76,94,158,133,89,124,139,143,147,152,157,160,162,162,163,163,163,141,149,141,120,104,99,80,34,66,69,72,77,91,151,149,97,116,145,149,153,159,163,167,168,169,169,169,170,148,155,144,126,104,109,72,40,67,70,74,79,93,142,160,107,104,150,155,160,164,169,172,174,175,175,175,176,153,160,145,130,103,117,62,46,69,71,74,81,97,142,175,122,99,154,161,166,171,175,178,181,182,182,182,182,158,164,146,134,103,124,54,52,69,72,75,81,100,143,175,128,98,157,167,172,176,180,183,186,187,188,188,188,162,167,147,138,103,127,49,76,77,73,76,84,103,143,165,127,94,155,172,176,181,186,189,192,193,194,194,194,166,169,148,138,105,125,92,118,79,79,88,85,108,148,150,131,91,150,177,180,186,191,194,197,197,197,198,199,169,169,148,137,108,125,118,117,77,66,67,71,100,149,138,148,89,140,181,184,190,196,198,200,201,201,201,202,172,170,150,134,115,136,100,108,96,74,61,53,59,90,111,127,84,126,184,188,194,199,202,203,204,204,205,206,174,170,153,131,121,114,70,78,112,101,79,52,40,64,88,99,86,107,184,192,197,201,203,206,206,206,207,208,176,169,158,129,127,101,70,108,130,116,82,55,45,52,69,81,81,93,182,195,199,204,207,208,209,209,210,210,178,169,160,126,137,83,96,163,154,115,88,67,56,54,61,69,74,90,183,198,201,206,209,210,211,212,212,213,180,169,161,121,142,71,102,172,155,105,101,86,66,59,58,62,68,92,187,200,204,208,211,213,214,214,215,215,181,170,162,119,148,61,78,183,178,95,84,101,86,70,56,56,66,100,192,201,206,211,213,214,215,216,216,217,181,171,164,119,151,52,77,184,182,93,112,110,104,83,60,56,61,112,196,201,207,211,214,215,217,218,218,219,181,172,166,122,155,47,73,169,145,111,160,131,109,96,68,59,59,119,199,202,207,212,215,217,218,220,221,220,181,174,164,125,152,42,69,157,173,150,173,151,120,103,81,67,63,127,199,203,207,211,215,216,218,220,221,220,183,178,160,131,145,38,68,129,176,166,168,156,139,110,86,71,64,131,199,203,207,211,215,217,218,219,220,221,184,179,155,138,136,34,69,92,167,183,169,165,141,116,91,75,66,128,199,203,207,211,215,218,219,219,221,222,183,180,149,144,137,64,86,85,157,184,167,176,138,114,90,77,70,137,199,204,208,212,216,218,220,221,223,225,177,180,145,148,160,109,102,102,135,178,165,169,135,109,91,83,71,115,147,153,157,161,167,170,172,176,178,175,181,179,141,155,158,103,98,101,107,160,158,150,139,122,108,87,66,90,111,112,112,114,114,115,115,115,112,82,184,176,137,160,156,105,100,103,103,129,138,133,141,142,130,90,60,66,110,113,116,117,117,115,115,117,94,64
11,162,164,165,167,168,168,169,170,169,169,168,167,165,166,166,164,163,162,160,160,160,158,157,155,154,154,153,150,164,166,167,168,169,171,170,171,170,170,170,168,168,168,169,167,165,165,163,162,161,160,159,157,156,155,153,151,164,167,169,170,171,172,172,172,172,172,171,169,169,168,158,167,168,166,165,164,162,161,160,159,157,156,155,154,167,168,170,172,173,173,172,173,173,174,172,172,170,182,134,125,174,166,166,167,164,162,162,161,159,157,156,155,168,169,172,174,174,174,174,174,174,174,174,174,172,185,139,101,172,168,168,168,167,165,164,163,161,159,157,156,169,171,173,174,175,175,175,176,176,176,175,174,174,181,137,105,169,170,168,169,168,167,165,163,162,161,159,157,171,173,174,174,176,178,177,178,177,178,177,175,174,193,149,109,167,173,169,170,169,168,167,164,163,161,160,158,172,175,175,177,178,179,179,179,178,178,178,177,178,199,156,106,162,176,170,170,169,169,167,165,164,162,160,160,173,175,176,179,179,179,180,180,180,179,179,177,182,193,145,101,163,176,171,171,171,170,168,166,165,164,163,161,174,176,178,179,179,180,180,180,180,180,182,180,187,186,142,99,168,177,173,172,172,171,170,168,166,165,162,161,175,178,180,181,181,181,182,185,186,181,159,149,191,183,144,105,172,176,174,174,173,173,171,169,167,165,162,162,178,179,181,181,183,187,184,168,163,177,143,96,154,166,124,106,180,177,175,175,174,173,172,170,169,167,164,163,178,180,183,183,174,164,185,147,99,126,156,109,85,106,88,113,188,178,177,175,175,174,173,170,169,168,166,163,179,182,183,190,168,105,145,159,98,113,158,108,72,84,75,140,188,178,178,177,176,176,175,173,169,168,168,166,181,182,188,196,179,121,115,168,102,112,144,99,74,83,75,148,188,179,179,177,174,168,160,165,174,171,167,166,183,182,201,205,182,128,95,147,97,99,133,92,71,74,68,147,190,179,179,170,168,152,135,128,132,167,169,166,182,188,203,187,172,133,79,116,92,109,140,104,67,72,71,152,188,178,189,174,147,123,104,101,78,136,176,166,182,189,211,188,171,126,76,130,97,122,180,124,76,81,83,136,180,182,170,124,79,87,118,132,123,158,174,168,184,192,214,200,161,111,91,162,130,124,207,122,73,97,120,144,175,169,124,73,106,174,184,182,181,176,170,168,183,194,214,191,152,153,112,175,185,87,131,107,102,134,128,140,146,120,75,122,189,182,178,176,173,173,172,169,183,194,211,190,168,156,110,148,143,88,142,167,152,139,117,118,108,71,120,193,182,181,180,178,176,174,173,171,185,192,206,197,181,158,162,171,175,166,161,154,142,131,113,96,72,103,189,185,183,182,180,179,177,175,174,172,185,189,202,194,179,159,149,159,176,166,154,147,129,125,103,68,113,186,188,185,184,183,180,179,178,177,175,173,197,197,197,191,170,141,132,150,157,150,146,130,124,112,72,128,196,189,187,187,185,183,180,179,179,178,175,173,91,142,192,175,152,128,146,154,150,140,130,120,97,79,142,198,188,187,187,186,186,183,182,180,178,177,174,173,53,66,163,176,169,168,157,146,142,122,102,71,105,173,197,189,189,187,186,186,184,183,182,180,177,175,174,172,73,68,77,136,167,162,146,134,126,103,67,100,201,197,190,190,190,189,187,186,185,184,182,180,180,177,175,174,65,67,62,67,102,117,123,117,100,77,59,171,199,191,192,191,190,190,189,187,185,185,183,181,180,177,176,167
12,174,178,181,184,186,188,190,192,192,193,193,193,193,193,193,192,193,193,193,191,191,190,189,188,188,187,185,183,175,179,183,185,187,189,191,193,194,194,194,195,195,195,194,197,196,193,194,192,192,193,192,191,190,188,187,186,176,179,183,186,188,190,193,194,195,197,195,194,196,199,194,180,190,198,195,199,195,194,194,194,193,192,189,188,177,180,183,187,190,192,194,195,196,196,202,189,161,183,210,176,141,182,192,171,194,197,196,195,194,193,191,191,178,181,184,187,191,193,194,196,198,195,221,220,191,151,174,221,175,126,153,154,142,198,197,197,195,194,194,193,180,184,186,189,192,195,197,199,197,208,220,219,214,169,113,188,194,128,98,160,125,154,206,196,197,196,194,194,182,185,188,192,194,196,199,200,194,228,196,195,216,159,107,164,181,128,91,132,133,106,200,199,197,197,196,195,183,186,190,193,196,200,199,198,203,176,146,202,199,144,99,172,170,119,98,136,123,106,202,200,199,198,197,197,185,188,192,194,198,198,201,223,213,148,107,153,183,159,92,159,195,135,99,156,125,120,209,199,201,200,198,197,187,190,193,196,197,205,227,224,214,165,110,106,188,162,80,163,211,132,109,195,128,149,211,199,201,201,200,199,188,192,197,198,202,229,202,190,220,175,112,71,154,148,59,111,199,118,99,181,134,189,207,202,202,201,200,199,191,194,200,199,219,228,198,169,204,166,113,71,83,91,73,107,131,134,141,152,106,182,212,203,203,203,201,200,193,197,199,203,219,198,173,135,180,166,116,75,78,82,156,212,176,173,155,141,120,132,215,204,205,204,203,201,195,199,202,201,222,202,177,126,152,167,112,80,86,131,190,203,195,172,141,117,131,110,198,210,205,205,204,201,198,200,205,201,224,207,182,145,131,162,138,89,110,178,201,196,191,173,138,118,112,108,203,209,206,205,205,202,200,203,205,209,229,211,191,165,124,143,158,96,171,209,206,198,196,157,132,118,85,142,220,208,207,205,203,203,202,206,205,217,232,217,198,170,144,127,129,148,210,209,213,209,181,140,128,109,88,199,214,209,211,212,214,208,204,207,208,221,229,222,206,176,164,150,138,182,198,205,215,201,160,134,127,87,130,227,218,219,203,181,147,111,205,209,210,217,223,225,210,184,177,164,147,183,183,212,212,183,149,129,118,88,198,206,167,129,93,75,70,64,207,211,214,211,225,226,212,191,188,173,151,190,186,208,203,164,139,122,103,104,132,85,68,60,62,63,66,74,210,212,217,212,219,220,209,195,189,175,159,182,202,188,179,148,128,114,95,67,59,58,64,61,64,59,57,70,213,215,219,216,213,220,209,198,185,174,166,171,192,176,155,138,119,109,72,49,58,67,56,55,63,65,51,58,213,216,220,216,208,224,210,196,184,173,159,161,180,167,144,129,114,94,73,45,48,68,62,47,54,66,60,50,215,217,222,217,212,223,203,187,178,171,154,161,174,159,128,119,103,73,79,56,38,54,68,53,45,58,65,53,218,221,225,217,213,221,189,172,176,167,153,164,164,145,117,106,70,47,69,70,38,40,60,64,46,46,60,60,219,221,225,217,211,230,190,181,188,177,163,165,154,132,114,88,65,39,54,72,50,30,47,62,58,41,51,62,220,222,230,204,200,232,198,199,204,178,161,160,146,126,109,69,64,45,43,61,61,30,35,53,64,50,43,58,221,222,238,170,166,235,211,218,207,169,162,163,143,123,99,68,56,54,35,50,65,38,27,45,61,59,45,47
1,146,148,150,151,151,153,154,153,153,154,155,155,157,157,157,156,157,157,155,156,156,156,156,155,154,155,154,154,149,152,155,154,156,156,156,157,157,159,159,159,159,160,159,160,159,160,161,158,158,158,159,159,157,156,155,155,154,156,157,158,159,160,160,161,162,162,163,164,164,162,165,163,165,154,153,165,162,162,161,161,159,158,158,157,158,161,161,163,163,164,164,165,166,168,167,167,169,168,133,157,183,148,100,173,166,165,165,164,162,163,161,161,161,165,165,168,168,167,168,169,168,171,173,169,179,181,95,150,189,134,94,172,162,172,168,167,165,165,164,163,165,168,169,171,171,171,171,174,173,173,170,162,191,168,95,163,185,112,114,171,109,155,177,170,169,169,168,168,168,170,170,172,176,176,175,177,176,181,164,119,171,148,98,180,179,99,133,181,95,135,185,172,172,171,171,170,171,173,173,177,179,178,179,179,177,191,161,102,150,144,108,190,183,107,154,183,95,137,188,175,177,174,174,173,174,176,178,180,182,183,180,183,180,193,141,103,148,135,118,182,167,105,171,178,89,142,188,179,180,178,178,177,177,178,181,183,184,186,185,185,183,199,137,114,134,119,101,175,144,101,187,180,95,155,190,184,183,182,181,180,179,181,184,185,186,186,187,188,186,199,127,108,134,128,92,191,139,117,196,164,97,168,191,186,186,185,184,184,182,185,186,187,188,188,188,189,191,203,138,95,135,130,95,195,133,132,197,152,95,180,192,188,187,187,185,185,184,187,189,190,191,192,192,190,194,204,143,81,116,99,83,168,105,159,201,153,104,194,193,191,190,189,188,186,186,188,190,192,193,194,193,192,198,205,147,106,147,163,143,169,148,134,184,141,117,203,193,193,192,193,192,189,189,191,191,192,194,195,195,194,206,201,157,127,109,165,192,185,184,123,124,125,131,208,195,197,195,194,192,191,190,192,192,194,196,197,198,197,214,188,142,114,85,93,127,151,199,178,102,69,154,209,196,198,197,195,194,193,192,194,196,197,198,200,200,200,220,191,142,102,93,98,102,144,213,209,143,62,175,208,199,200,199,200,198,196,193,195,198,200,200,202,198,205,220,185,136,108,107,114,156,180,178,201,163,88,183,208,201,201,200,200,199,200,195,197,198,201,202,203,199,209,217,182,141,107,120,124,188,204,181,159,139,87,147,215,201,204,203,201,200,200,196,197,200,202,203,205,201,211,217,185,146,123,122,151,212,202,172,146,107,72,154,218,204,205,205,205,202,200,198,199,201,203,203,205,204,211,215,184,147,135,121,170,220,204,159,130,94,68,184,215,206,207,206,206,203,201,199,202,202,204,204,205,206,209,212,184,157,144,122,167,221,194,147,117,80,91,207,209,208,208,207,206,206,204,200,202,203,205,205,206,207,208,207,186,163,156,118,170,211,173,134,103,69,153,220,209,209,209,210,210,208,208,200,204,206,205,207,208,209,210,211,190,165,155,118,180,195,162,128,87,83,203,214,211,210,210,211,211,208,208,201,204,207,207,207,209,207,209,216,191,171,143,119,173,162,144,115,71,126,224,211,214,213,213,212,211,209,208,202,203,206,209,208,210,202,210,216,209,181,140,132,162,142,132,104,70,181,222,213,216,216,214,214,212,210,209,201,202,204,206,207,207,201,213,212,208,182,147,145,150,136,123,80,121,219,215,216,216,216,215,215,214,212,211,202,204,205,205,206,201,204,202,187,189,173,145,142,128,123,91,85,197,220,216,216,216,215,215,214,213,212,211
10,138,142,146,149,152,156,158,161,163,165,165,167,168,168,169,168,170,170,170,170,170,170,170,170,171,170,171,171,141,145,148,152,155,159,161,164,166,168,169,171,172,171,172,172,173,173,173,173,173,173,173,172,174,173,172,172,144,148,151,155,158,161,164,167,170,171,173,174,174,174,176,176,176,178,178,176,176,176,175,175,176,176,176,174,146,150,155,158,161,165,168,172,173,175,176,177,178,178,179,178,180,170,173,181,179,179,178,179,179,179,178,178,149,153,158,160,164,167,171,174,177,179,179,180,181,180,182,178,191,168,128,187,181,181,181,182,182,182,182,180,152,156,159,163,167,170,173,176,180,181,181,182,183,184,184,182,189,195,126,157,190,183,184,186,185,185,185,183,153,158,162,165,168,172,176,179,181,183,184,184,185,186,187,189,187,201,163,127,190,187,187,187,188,187,186,187,155,159,164,167,171,174,178,181,183,184,185,187,187,187,187,180,184,205,205,136,169,194,187,189,189,189,188,188,158,162,166,169,173,177,181,183,185,186,187,189,190,189,199,154,120,203,222,164,133,199,190,193,193,192,192,190,159,163,167,171,175,180,182,184,186,188,189,191,192,189,203,185,111,141,226,190,117,183,197,194,195,195,194,194,160,165,169,174,178,180,183,186,188,190,192,193,194,193,197,224,189,138,171,205,123,160,203,194,196,196,196,196,161,166,170,175,179,181,185,188,188,191,194,195,193,203,193,190,229,161,95,182,141,135,208,195,199,199,198,198,163,167,172,176,180,183,186,188,191,193,194,195,198,207,184,115,171,181,110,104,120,113,210,197,200,200,200,199,163,167,172,176,181,184,186,190,193,195,195,195,220,203,161,84,76,180,146,80,75,82,188,206,201,201,201,201,164,168,174,177,182,185,188,192,194,195,197,194,223,194,112,49,38,139,161,116,70,65,141,213,201,202,201,202,166,170,174,179,182,187,190,193,195,194,205,207,189,219,184,94,34,129,171,157,103,69,113,212,203,204,202,202,167,172,174,179,184,187,191,194,196,195,211,227,202,184,223,163,80,169,193,175,120,67,98,209,206,206,206,204,168,172,177,179,183,188,192,194,196,198,196,201,226,170,171,216,140,175,197,167,128,70,91,211,207,208,208,206,167,171,175,179,183,187,190,193,195,197,198,172,187,161,117,178,133,181,207,164,123,79,89,209,208,208,208,207,167,172,176,179,183,186,189,194,195,194,207,208,174,160,126,132,218,224,204,166,112,78,95,208,207,207,205,206,167,172,175,180,184,187,190,193,195,194,205,224,194,160,150,189,237,219,197,151,105,80,101,212,207,207,206,206,168,172,174,180,185,187,189,193,195,197,196,219,204,192,180,204,230,204,180,139,100,92,94,209,209,207,207,206,168,172,177,180,183,187,190,193,195,197,198,211,210,205,199,192,225,190,169,139,123,113,93,206,208,207,208,208,165,169,175,181,186,190,194,197,200,202,205,208,214,213,210,174,205,186,176,152,146,117,104,213,210,210,210,210,100,104,108,114,119,122,127,133,137,141,140,159,217,215,204,178,177,181,189,169,139,100,110,200,198,202,203,206,92,93,94,94,91,90,89,91,92,92,95,93,185,203,186,177,167,173,202,174,129,96,91,104,108,111,114,117,98,98,100,100,100,104,105,104,103,103,106,94,137,197,173,176,176,177,191,169,124,91,99,104,101,103,101,100,95,95,97,97,97,99,100,104,103,101,101,99,110,189,187,178,184,176,174,173,124,90,106,114,110,114,113,115
10,121,126,132,129,115,100,110,80,72,100,99,106,109,122,133,138,142,149,152,157,163,166,167,171,172,174,176,178,128,134,139,131,121,102,120,74,79,101,102,103,129,160,131,140,144,151,155,159,163,166,169,172,173,175,176,178,137,142,148,134,126,104,126,68,86,101,105,97,167,185,117,141,147,153,157,161,164,167,171,173,175,176,177,177,145,151,155,138,131,108,130,63,93,101,106,101,154,192,120,130,154,156,160,163,166,170,174,176,177,177,178,178,153,160,161,140,133,116,130,61,98,102,106,105,134,193,136,118,158,161,165,168,171,175,179,181,182,182,182,182,161,170,166,145,134,124,125,62,104,103,106,110,122,191,164,115,156,168,170,173,178,183,185,187,187,188,188,187,167,177,169,151,133,134,117,66,107,104,108,112,118,182,182,122,145,175,174,179,184,188,191,192,193,193,193,194,173,182,171,156,131,145,108,72,107,105,109,114,122,170,193,131,131,181,179,185,188,193,196,198,198,198,198,199,178,188,170,161,130,154,96,80,109,105,109,115,125,169,209,147,125,185,185,190,194,198,201,204,204,205,205,205,182,191,171,165,130,162,87,85,107,107,110,115,128,172,207,155,124,187,191,195,199,202,205,208,209,210,209,209,186,193,172,168,130,165,74,112,114,106,109,118,132,170,195,154,119,184,196,198,204,208,211,213,214,215,215,215,190,196,173,167,134,156,121,160,109,115,127,118,137,177,178,159,116,179,202,202,208,212,215,217,218,218,218,219,193,195,174,165,138,153,151,153,105,100,102,106,132,185,166,185,112,168,208,205,212,217,219,221,221,221,221,222,196,196,177,161,142,173,126,144,131,106,95,88,93,119,143,162,108,154,213,208,215,219,222,223,223,224,224,225,198,195,181,156,150,150,98,104,147,135,116,88,74,100,123,132,116,134,214,212,217,221,223,225,226,226,226,228,200,193,186,154,159,136,95,141,161,148,116,91,82,89,104,117,114,118,211,216,220,223,226,227,228,228,229,229,202,192,189,148,174,111,121,204,181,145,120,101,94,90,98,105,108,117,212,219,221,225,228,229,230,231,231,232,203,192,190,143,179,98,131,206,178,132,139,121,100,95,94,100,102,119,216,220,224,227,230,231,232,233,234,234,205,192,190,141,185,90,100,218,209,120,112,138,119,106,92,93,99,127,221,220,225,230,232,233,233,234,235,236,204,194,192,142,188,80,104,217,216,114,142,140,138,118,95,94,93,141,225,220,226,230,233,233,235,236,236,236,204,195,193,145,194,74,102,204,168,131,196,160,138,131,102,97,89,147,227,220,227,231,234,235,236,238,239,238,204,198,189,149,190,70,98,189,204,172,201,180,146,135,115,104,92,155,227,221,226,230,234,235,235,238,238,238,205,203,184,156,184,67,100,162,207,185,193,181,169,140,118,108,93,160,227,221,226,230,233,235,236,236,238,238,207,205,177,166,172,57,105,117,196,208,193,191,168,147,125,111,94,154,226,220,225,229,232,235,236,235,237,239,205,207,170,172,170,89,125,110,187,209,190,204,162,145,122,113,99,167,231,227,233,236,240,242,243,244,245,248,198,208,166,172,195,141,136,133,162,207,187,197,162,137,122,118,102,146,176,178,182,186,192,194,197,200,204,202,203,207,163,179,190,129,128,132,131,191,185,174,167,150,140,122,98,123,140,138,138,139,139,140,140,139,140,107,205,203,159,186,186,133,133,136,132,157,165,158,168,172,164,123,93,97,147,145,148,150,149,147,146,151,127,97
8,192,195,197,200,202,200,203,204,203,203,203,204,204,203,202,202,200,200,199,198,197,196,195,195,193,193,192,190,195,197,200,195,186,205,204,204,204,203,204,205,205,204,203,203,202,201,200,199,198,198,198,196,196,194,193,192,197,196,207,196,140,196,208,206,205,205,205,206,206,205,205,204,203,202,203,202,200,200,200,198,198,196,195,194,197,198,210,208,131,174,214,207,208,207,207,207,206,206,206,205,204,203,203,203,201,201,201,198,198,197,195,195,198,200,206,221,135,160,217,207,210,208,207,207,208,207,207,205,204,205,205,203,203,201,201,200,200,198,197,198,199,203,205,214,140,148,220,210,212,212,214,208,210,213,210,207,206,207,206,205,204,202,204,202,201,200,199,197,201,205,205,221,175,136,215,213,210,198,198,214,207,190,200,214,212,209,206,207,205,204,204,204,203,203,201,199,203,205,203,223,192,123,201,215,226,205,160,191,224,168,143,201,195,207,211,206,208,207,205,206,205,203,201,200,204,207,206,219,199,142,170,221,240,237,185,139,219,188,183,144,144,145,206,212,208,209,206,207,206,204,202,200,206,208,208,217,224,175,157,210,234,243,211,132,178,193,199,183,168,152,164,207,210,210,209,210,208,205,203,203,208,209,209,212,228,172,168,200,204,233,215,142,144,184,163,209,211,214,180,136,207,210,208,209,208,206,203,203,208,210,212,213,225,208,187,214,201,205,217,142,120,165,115,182,200,213,190,121,195,215,209,209,210,208,206,205,209,212,215,213,235,232,178,180,198,179,216,174,117,142,115,146,197,219,193,123,194,217,209,210,210,210,208,205,210,213,215,213,232,209,160,159,169,152,196,215,137,119,107,156,218,230,197,123,195,218,210,212,212,211,210,207,211,214,216,213,232,230,188,158,151,145,161,174,142,127,102,169,223,230,194,122,196,220,212,214,213,212,211,208,211,215,217,214,237,237,202,167,146,146,142,188,187,145,164,204,218,220,177,114,185,223,213,214,214,213,211,208,212,215,217,215,240,235,207,182,149,132,157,208,207,210,219,210,195,186,152,108,174,225,214,215,214,214,212,209,211,215,218,217,244,235,212,195,170,135,151,201,232,239,228,204,174,152,133,108,203,221,216,215,214,214,212,210,213,216,218,219,245,236,216,197,182,150,149,211,244,238,222,196,158,133,104,147,227,217,217,217,215,214,212,211,215,217,220,219,240,240,223,205,193,162,161,225,241,227,200,177,143,113,107,211,222,219,219,217,217,216,214,212,216,217,222,220,235,243,227,210,202,171,166,230,228,205,179,154,131,95,166,231,218,220,220,218,218,217,215,214,215,218,221,221,231,244,231,214,199,169,170,218,215,194,170,142,114,114,220,222,221,220,219,218,218,217,216,214,214,216,219,220,231,247,229,209,186,154,175,204,186,180,164,135,93,179,230,218,220,220,219,217,216,216,215,213,216,219,222,216,235,243,220,200,173,163,180,191,168,160,157,107,127,228,220,221,222,221,219,218,218,215,214,213,216,218,222,215,246,239,221,204,183,178,183,178,161,153,133,107,207,227,222,222,221,221,219,219,215,214,221,218,216,218,217,225,249,234,223,208,186,188,180,159,153,139,103,175,231,221,223,222,221,220,219,222,225,222,185,133,216,220,212,232,241,215,208,196,183,184,170,143,142,113,133,227,224,224,222,223,225,226,224,205,169,123,81,67,217,220,208,240,235,202,183,175,173,184,164,127,137,98,189,231,224,225,222,215,199,183,147,100,67,55,60,65
14,158,158,159,160,161,161,161,161,161,161,159,159,159,157,154,154,153,151,150,149,146,145,144,142,141,138,135,133,160,160,161,162,163,164,164,164,164,163,164,161,160,160,158,157,156,154,151,152,151,148,146,144,143,142,141,138,162,164,163,165,166,168,168,167,166,165,165,164,163,161,159,158,158,156,153,153,151,150,149,148,144,142,141,139,163,165,166,168,168,169,168,168,169,169,167,166,167,162,160,159,158,158,156,154,153,152,150,150,148,143,142,141,166,167,168,169,169,170,172,171,171,174,172,165,154,168,169,170,162,160,159,158,155,153,151,151,149,147,145,143,168,169,170,171,171,173,175,174,171,154,142,131,74,91,101,135,160,166,165,159,158,156,153,151,152,150,146,143,170,171,172,175,174,175,176,168,141,116,87,56,24,34,60,68,98,115,144,164,160,159,157,154,154,151,149,146,171,172,174,174,175,175,177,163,125,73,35,23,27,20,41,59,73,51,93,178,159,160,158,155,154,153,151,148,172,174,176,177,177,170,164,137,84,15,7,11,12,9,14,18,40,21,43,143,166,160,160,158,155,153,152,150,173,175,177,179,178,158,142,100,37,13,4,4,10,10,13,13,22,35,35,45,159,164,162,160,159,157,152,151,175,177,178,179,177,151,123,49,15,20,12,11,11,5,9,11,13,34,25,61,176,164,163,160,159,157,154,153,178,178,179,178,179,160,127,43,13,11,11,18,9,36,145,127,134,48,26,38,131,173,164,162,160,159,156,154,178,181,182,181,181,161,128,57,9,5,7,18,3,121,197,184,190,159,84,44,54,91,151,166,159,159,158,154,179,181,181,182,180,161,125,51,18,21,11,0,89,191,178,179,175,185,159,71,76,49,120,174,160,160,159,158,181,181,181,184,180,167,131,60,32,29,18,24,179,185,184,181,181,177,98,77,76,49,142,172,163,162,160,160,181,183,184,187,181,170,143,84,47,25,12,42,188,183,185,182,187,137,71,78,58,62,174,168,166,163,161,160,182,185,186,185,177,169,149,90,55,27,3,77,206,184,183,187,172,75,62,72,35,108,182,167,168,166,164,161,183,185,187,185,172,172,147,99,62,27,9,39,153,185,194,188,114,65,53,55,20,154,175,170,169,167,164,161,182,185,187,184,173,168,145,102,59,27,23,19,32,62,146,121,64,75,65,20,99,183,170,172,170,168,165,162,183,186,188,183,172,176,150,100,68,34,22,29,38,41,47,45,56,67,37,75,186,175,173,170,169,169,166,163,184,185,190,181,172,182,148,99,68,37,19,29,40,48,54,46,51,54,50,177,180,176,174,171,169,168,167,165,186,187,191,177,175,179,140,94,71,41,19,30,40,44,54,55,42,23,143,190,178,177,175,173,170,169,167,165,186,188,190,175,176,172,136,93,77,46,20,29,43,49,52,54,23,78,192,178,179,179,176,174,171,169,168,165,186,187,189,174,177,163,129,96,78,46,20,32,49,55,55,35,43,187,185,181,180,179,177,176,174,170,168,166,187,188,190,173,171,149,122,91,74,44,18,33,50,49,47,9,112,201,181,185,182,178,178,176,175,171,168,166,188,189,189,172,163,145,118,89,69,44,20,31,45,46,23,40,189,187,185,185,184,180,178,177,174,173,169,167,187,191,188,173,155,144,112,81,60,40,21,28,38,32,11,152,198,186,186,185,184,181,179,177,175,173,171,168,187,188,187,172,148,137,106,77,52,34,19,25,25,8,124,204,187,189,188,185,183,181,180,177,175,172,170,168
6,119,122,125,127,130,133,135,137,138,140,142,142,143,145,146,146,147,146,147,147,147,148,148,147,146,147,145,145,120,123,126,129,131,133,135,138,139,140,142,142,144,145,146,147,147,147,148,148,148,148,148,148,147,148,147,146,120,123,126,129,131,134,135,138,139,141,143,143,144,145,146,148,147,148,148,149,148,148,148,148,148,148,147,146,121,124,127,129,133,135,138,139,140,141,143,144,146,147,147,148,148,148,149,149,149,150,150,149,148,147,148,148,121,125,128,131,133,135,138,139,140,142,143,145,146,148,147,148,150,151,151,151,151,150,150,150,150,149,149,149,122,125,129,131,134,137,138,140,142,142,143,146,148,148,148,148,151,150,152,152,151,152,153,153,152,150,150,149,123,126,129,132,134,136,138,140,142,141,143,142,144,146,143,144,145,149,148,144,143,135,133,142,148,151,151,150,123,127,130,130,136,147,150,140,142,148,151,153,156,159,148,151,151,164,161,150,146,131,120,136,139,125,153,150,123,123,125,142,160,165,158,140,126,134,153,158,159,157,147,143,152,149,146,145,137,126,119,126,120,113,154,150,119,131,152,166,164,161,156,146,112,91,109,115,118,120,120,118,113,108,112,112,110,110,116,122,126,146,153,151,146,167,166,157,157,163,166,148,112,79,70,66,67,86,96,105,124,140,144,146,148,150,153,153,154,153,151,151,168,162,157,160,165,164,148,115,101,84,77,78,70,78,133,157,155,154,154,155,155,154,153,152,152,151,152,152,165,161,162,161,161,152,139,119,95,81,76,84,87,78,83,106,153,155,153,154,154,154,154,153,154,153,152,152,165,165,163,160,161,161,166,144,95,82,70,70,86,89,88,64,90,155,154,154,155,154,154,154,153,154,153,152,160,162,160,159,161,169,165,130,96,85,87,83,77,78,88,86,59,100,160,154,155,155,154,153,153,154,152,151,159,159,157,156,163,170,143,113,97,92,89,91,89,69,67,72,74,77,156,155,155,154,154,153,154,154,153,152,152,152,150,151,157,158,139,112,90,82,89,97,104,86,75,67,64,101,155,152,152,151,150,151,150,150,150,150,153,154,152,150,154,156,148,116,87,68,66,77,107,104,89,76,70,89,98,95,94,94,93,93,92,91,90,89,156,156,158,156,161,161,146,107,86,89,85,81,74,83,90,85,82,73,69,70,71,72,71,68,68,68,67,66,154,153,151,150,160,153,135,104,92,95,94,90,83,76,72,78,80,77,77,78,78,78,77,76,75,75,75,73,147,140,135,141,147,137,124,108,99,98,97,88,81,76,77,82,82,81,79,76,76,76,76,77,75,74,74,72,134,130,126,134,134,121,108,100,91,86,92,90,88,85,82,83,81,82,78,79,77,76,76,77,76,75,76,75,121,119,113,110,106,96,86,81,78,71,74,79,83,84,81,79,80,79,78,77,76,76,76,76,75,75,74,75,102,95,86,82,81,82,83,82,82,82,81,80,81,81,81,80,80,80,79,79,77,76,76,76,76,74,75,71,75,79,81,81,82,83,83,84,83,83,83,82,82,81,81,81,79,79,79,79,77,76,77,76,76,75,69,87,79,82,83,83,83,82,82,82,82,82,82,80,81,81,80,79,78,78,78,78,76,76,77,76,78,69,78,153,83,83,83,84,84,82,82,82,82,82,82,81,81,81,80,79,79,78,78,78,78,78,77,79,77,67,141,157,83,83,83,83,82,82,82,81,81,81,80,82,81,81,80,80,79,78,78,78,77,77,76,82,70,119,165,134
24,171,172,173,173,174,174,175,175,175,175,175,175,175,175,174,173,172,170,170,170,169,167,167,166,165,164,161,160,174,175,176,177,177,177,178,177,178,178,177,178,178,177,177,177,176,175,173,173,171,171,170,168,167,166,165,163,177,178,179,180,179,179,180,181,180,180,180,180,180,180,180,179,178,177,176,175,174,172,173,174,170,169,168,166,180,180,181,182,183,183,184,183,183,183,182,182,183,183,183,181,180,179,178,178,177,177,159,154,176,171,170,169,182,183,184,184,184,184,184,185,185,184,184,184,184,184,184,184,183,181,180,180,178,182,152,110,176,174,172,170,185,185,185,186,188,186,186,187,187,191,187,186,186,186,185,184,184,184,183,183,179,188,155,106,174,177,174,171,187,188,188,189,190,189,189,191,182,154,189,190,189,189,189,187,186,186,185,184,182,191,148,109,179,179,176,174,189,190,191,191,191,191,190,192,175,115,152,198,190,192,191,191,190,188,187,186,186,194,140,117,186,179,179,177,190,191,192,192,193,192,191,194,175,134,115,197,192,193,194,193,191,191,190,185,193,193,134,128,190,180,180,178,192,193,194,194,195,194,194,196,190,155,103,180,199,193,195,193,192,192,192,191,199,178,114,142,194,183,183,181,194,195,196,196,196,197,196,195,197,170,107,152,206,194,196,198,198,195,191,182,201,172,97,161,193,186,186,183,195,197,197,197,197,197,197,197,199,184,134,119,204,196,199,183,167,192,183,134,126,161,107,186,191,188,186,184,197,198,199,199,199,199,199,198,201,191,152,97,183,205,189,170,147,145,152,134,103,108,121,198,190,190,188,186,198,200,200,201,201,201,201,201,202,197,163,109,147,211,179,180,159,148,137,151,150,80,133,203,190,191,190,188,200,201,202,202,203,202,202,203,202,201,180,147,115,185,167,191,160,151,153,157,143,82,155,203,193,192,191,189,202,203,203,203,204,203,203,203,202,203,192,160,109,139,144,186,178,125,113,140,157,101,133,206,193,195,192,191,202,203,203,204,204,205,204,204,205,207,198,174,160,136,127,156,177,116,62,132,173,124,96,196,196,195,193,192,203,205,206,206,206,206,206,206,206,208,199,196,176,125,95,134,160,101,69,116,181,162,97,140,207,194,195,195,206,207,208,208,208,208,208,208,207,209,203,194,158,124,104,136,149,101,83,178,191,176,114,102,204,196,196,195,208,208,208,209,209,209,209,209,210,210,208,194,177,166,128,133,162,114,144,203,186,161,100,111,206,197,197,195,208,209,209,209,210,211,211,210,211,211,211,194,189,179,134,130,129,137,204,197,170,150,85,130,211,197,198,197,207,209,209,209,210,210,211,211,210,212,213,191,189,189,156,133,113,190,206,191,164,141,82,151,212,197,198,197,208,209,209,210,211,210,210,211,212,212,212,197,183,181,167,143,119,190,198,182,159,130,80,170,207,197,198,197,209,209,210,211,211,210,211,212,213,211,214,198,177,177,174,160,125,175,201,177,146,112,82,188,204,198,198,197,210,210,210,211,211,212,213,212,213,213,215,206,180,180,174,174,135,158,195,167,133,90,100,209,201,201,199,197,210,210,210,212,213,213,213,212,212,214,213,214,189,185,175,178,137,129,175,141,111,67,133,215,200,202,199,199,205,208,210,212,213,215,215,216,218,220,218,222,197,187,177,167,140,120,142,130,96,67,181,211,203,204,205,192,135,138,141,145,148,152,157,160,163,168,171,173,188,191,171,159,151,128,131,137,81,102,203,196,197,187,145,99
6,180,182,185,186,187,189,190,190,190,189,189,189,188,187,186,185,185,184,183,181,180,179,178,177,177,176,174,173,182,185,187,187,188,190,190,191,191,190,190,191,190,189,188,186,186,185,185,183,181,180,180,180,180,178,175,174,184,186,188,189,191,191,191,192,192,191,191,192,192,190,189,188,189,187,186,185,185,183,181,181,180,179,177,176,186,188,189,190,192,192,192,193,193,194,193,192,192,191,191,190,189,189,188,187,187,185,182,182,180,179,178,177,186,189,192,191,193,194,194,194,194,194,194,194,193,192,190,191,190,188,188,188,187,186,184,183,181,181,180,178,188,190,193,193,194,194,195,195,195,195,194,194,193,192,192,193,193,191,192,192,191,191,189,186,183,183,180,179,190,190,194,194,196,198,197,196,196,196,197,198,197,195,193,193,189,185,178,172,173,166,159,156,154,135,160,175,192,193,194,195,196,198,198,198,198,197,194,183,176,178,176,164,149,137,119,133,147,154,140,139,138,115,162,176,193,194,196,197,197,198,199,200,200,187,175,146,138,141,145,154,143,131,123,126,139,148,132,127,119,103,118,133,193,194,198,199,199,200,201,198,194,185,172,156,142,128,96,117,124,120,101,86,93,86,86,88,97,104,122,153,194,196,198,199,200,203,198,195,185,171,167,155,152,151,95,61,61,57,62,97,125,146,158,174,186,187,190,189,195,197,200,202,202,197,186,189,168,155,161,161,165,131,81,65,48,116,166,192,202,201,199,196,193,191,189,186,196,199,202,199,193,184,182,171,161,158,155,163,163,116,68,65,60,107,209,198,195,193,193,193,193,191,190,188,197,200,198,192,185,183,176,168,166,157,153,162,153,142,106,67,65,47,126,210,195,196,195,195,194,192,190,189,200,194,190,190,185,180,169,165,162,155,152,153,154,155,126,79,60,66,58,179,203,196,195,195,194,193,191,190,172,199,192,185,177,174,165,159,154,149,149,150,156,154,116,77,64,67,45,144,212,196,197,196,195,194,194,193,70,133,200,192,175,165,158,151,148,147,146,148,154,154,129,86,59,62,64,187,204,199,198,198,197,195,194,193,69,56,98,172,175,160,159,155,151,150,151,149,155,154,145,104,62,57,63,192,205,201,199,199,198,196,195,194,64,66,40,57,139,172,156,150,150,148,153,154,153,154,139,96,66,68,49,172,212,200,200,199,198,198,196,195,62,46,43,33,46,122,149,149,152,151,146,137,134,130,108,88,73,71,63,191,210,202,202,200,199,198,196,195,46,39,37,42,37,34,97,144,148,143,134,122,114,104,90,82,81,79,50,135,219,202,203,201,200,199,197,195,38,44,42,39,35,34,30,82,143,144,130,116,105,116,107,78,80,80,45,136,218,202,204,203,201,200,198,196,39,44,45,38,30,36,32,22,78,125,112,99,80,98,76,62,76,77,125,206,207,206,206,203,201,201,200,198,42,44,39,34,29,31,25,27,22,73,77,74,121,189,169,148,171,191,213,210,208,207,206,205,204,202,200,199,40,39,30,28,27,25,23,21,23,5,82,192,217,221,222,221,218,215,208,209,209,207,206,205,204,202,200,199,41,29,25,23,26,23,19,19,13,49,209,221,212,212,212,210,210,209,209,208,207,207,206,205,203,201,200,198,35,21,23,24,20,16,17,19,3,104,233,208,214,213,213,212,211,210,208,207,207,207,206,205,203,201,200,196,29,25,24,15,22,22,10,20,6,138,229,213,215,213,213,212,212,211,210,209,208,206,205,205,205,203,198,195
13,113,121,128,130,133,138,144,148,152,154,155,158,161,164,165,167,170,171,172,173,173,174,175,173,173,173,175,175,113,122,130,132,135,141,146,149,152,154,156,159,162,165,167,169,171,172,173,174,175,174,175,176,176,175,176,177,116,125,132,133,137,142,149,152,154,157,159,161,164,166,169,171,173,171,172,173,175,180,178,178,177,178,178,178,118,128,133,135,139,144,149,153,156,158,160,163,166,168,171,172,173,185,191,177,136,156,179,178,183,178,179,180,119,128,134,137,140,146,150,154,158,160,163,166,168,170,172,176,175,194,208,177,124,90,118,135,162,185,179,180,121,129,134,137,142,146,151,156,160,162,164,167,171,169,181,163,138,142,178,181,124,81,105,133,88,164,187,181,123,131,135,138,143,148,153,157,159,163,166,169,169,180,211,178,148,110,142,186,159,87,117,135,79,150,191,181,124,133,137,139,144,149,154,159,161,165,165,176,165,133,185,209,175,127,79,169,174,91,113,145,83,163,190,183,126,133,139,140,145,150,156,159,163,162,172,202,170,117,103,205,195,151,78,93,152,87,126,163,98,178,187,185,127,134,140,142,146,152,157,161,162,169,199,198,188,151,81,150,202,142,93,42,82,62,124,144,119,194,184,186,128,137,141,143,148,155,158,162,162,194,172,166,198,166,95,98,189,129,87,42,62,94,125,118,92,180,191,188,130,140,142,143,151,157,160,160,182,206,171,145,180,151,99,78,168,134,87,46,100,141,135,118,99,130,199,187,132,140,144,147,153,158,162,163,194,188,157,133,167,125,88,58,158,161,90,86,168,162,133,97,103,96,179,193,134,141,145,148,155,161,164,171,203,181,156,116,147,115,83,35,135,160,86,152,187,157,130,104,98,83,168,197,136,144,146,148,158,164,166,174,211,191,168,125,112,120,70,47,128,167,150,188,170,144,123,101,83,93,193,193,139,145,147,151,161,167,168,180,215,196,173,139,98,97,98,143,186,197,199,181,158,131,114,98,69,141,203,191,141,148,149,154,163,169,170,185,220,206,177,143,138,141,149,173,192,190,189,173,146,127,107,85,75,185,197,194,144,150,152,157,166,171,171,189,214,209,187,156,161,147,150,182,184,193,181,162,139,121,101,72,95,203,195,196,146,153,154,161,169,175,176,189,204,211,196,171,168,148,159,193,182,185,168,146,127,109,95,59,151,207,196,198,149,154,157,164,172,178,181,182,201,209,200,181,168,151,160,186,187,166,152,133,119,107,74,111,207,200,200,199,152,157,159,166,174,179,184,181,195,203,197,188,173,162,158,174,182,159,140,123,113,92,93,201,204,202,201,201,154,160,162,169,176,180,184,188,186,203,199,192,187,176,160,167,174,154,126,113,103,82,179,211,202,205,203,202,156,161,164,170,178,183,186,191,179,203,198,192,189,176,156,160,160,144,110,107,84,138,216,203,205,207,204,205,157,163,165,173,181,187,189,193,183,201,182,168,177,169,153,153,150,133,111,96,94,202,209,208,208,205,211,200,159,164,166,174,182,188,190,195,186,202,184,170,184,180,166,146,144,129,120,81,129,213,208,209,209,220,197,99,160,163,167,176,182,187,190,195,184,204,196,179,196,183,169,143,139,127,122,76,149,215,208,213,210,166,89,57,161,164,167,176,183,188,191,195,188,199,207,196,207,186,171,148,138,127,121,74,159,217,210,210,122,58,44,49,161,166,169,178,184,189,192,198,186,186,211,202,205,184,167,152,140,129,118,72,154,219,220,154,67,67,56,31
6,150,153,154,157,159,159,160,161,161,161,161,160,159,157,157,157,154,153,152,150,149,148,144,143,141,139,137,135,150,152,157,159,160,161,161,162,163,164,161,160,159,159,159,158,158,155,152,152,152,150,148,145,143,141,139,137,153,156,160,161,161,162,164,165,166,165,163,163,163,161,159,158,159,157,156,153,152,151,150,147,144,142,140,139,154,158,161,162,163,164,166,167,167,166,166,165,164,163,161,160,159,159,158,156,154,152,150,148,146,144,143,141,156,160,162,163,165,167,167,167,168,168,167,166,166,165,164,163,161,160,158,158,156,153,152,150,147,145,144,142,155,160,163,164,166,167,167,168,168,168,168,168,168,166,165,164,162,160,158,159,157,155,154,154,150,146,146,143,156,160,163,166,167,167,168,168,168,168,168,167,168,167,167,168,168,167,165,161,162,161,159,152,147,142,141,142,158,161,164,167,168,168,167,169,169,170,173,174,174,172,168,161,151,136,121,105,91,101,103,93,79,98,125,108,158,163,165,166,167,169,172,175,173,170,156,140,127,122,115,109,100,92,81,72,61,76,74,78,75,77,93,72,159,162,167,170,172,166,153,140,132,121,103,92,85,89,93,103,101,93,70,62,52,47,49,54,51,52,74,114,163,166,163,153,139,114,100,99,96,93,90,75,53,57,62,51,49,50,56,68,84,102,115,125,130,142,153,154,142,124,112,111,110,104,101,102,100,99,96,84,41,19,10,65,112,132,152,164,173,171,168,165,163,157,152,149,118,110,113,118,116,112,110,111,111,111,107,91,46,28,22,122,174,187,179,168,164,161,160,160,158,155,153,152,121,119,115,113,110,107,104,100,102,106,92,59,29,32,41,29,40,85,147,176,166,165,164,161,159,155,153,152,124,119,115,111,108,102,96,91,86,84,70,43,29,36,44,45,39,23,24,112,175,165,164,161,159,157,156,154,121,115,111,106,104,96,92,89,85,93,90,56,21,13,31,49,52,49,31,39,173,166,166,164,160,158,157,153,114,108,104,97,93,89,88,82,85,98,101,61,25,17,11,7,20,39,17,80,179,167,166,165,161,160,157,155,109,104,93,86,87,83,81,70,72,81,65,39,31,36,36,22,1,24,102,169,172,169,167,166,163,160,158,156,95,94,87,79,76,73,68,58,54,60,43,19,21,34,38,35,21,44,180,174,171,169,166,165,164,161,158,157,84,91,86,77,71,68,66,62,65,69,50,12,1,16,31,39,26,14,157,175,169,169,166,165,165,163,158,157,69,84,87,83,74,63,60,65,75,69,44,25,28,26,13,16,32,102,180,172,173,171,169,167,165,162,158,157,33,47,61,72,68,60,55,54,51,36,23,21,23,27,4,58,170,182,176,175,173,170,169,167,165,162,159,159,0,48,105,66,45,50,55,63,64,80,103,99,61,36,56,155,187,174,177,175,173,172,169,167,166,165,162,158,0,128,191,170,156,163,171,177,181,189,191,192,185,171,186,182,175,176,176,174,172,170,168,166,165,163,161,157,10,168,168,172,178,178,178,179,180,178,177,177,179,182,178,175,175,175,174,173,170,168,166,164,162,161,158,156,114,175,168,170,172,174,175,178,180,181,180,181,180,179,178,176,176,174,173,172,170,168,166,164,163,160,159,157,168,165,170,172,174,175,177,179,180,180,180,180,180,180,179,177,176,174,173,172,170,168,167,165,162,159,158,157,160,166,170,172,173,176,177,178,179,179,180,180,180,179,180,178,175,174,173,172,170,168,165,162,162,159,157,155
7,100,110,120,126,130,132,138,144,149,153,155,158,161,163,165,167,168,170,171,172,171,172,173,172,173,174,173,171,100,111,122,128,132,133,139,146,150,153,156,158,163,165,166,168,169,171,172,174,174,174,174,175,174,174,174,172,100,112,123,130,134,135,141,147,151,154,157,160,164,166,168,169,170,172,173,176,175,176,175,174,175,176,175,173,101,111,121,131,135,137,142,147,152,156,158,162,164,166,168,171,172,173,174,176,175,176,178,177,177,178,176,176,101,112,123,130,135,137,143,147,152,157,160,163,165,168,169,172,173,174,175,177,178,178,178,178,178,178,177,177,102,113,123,132,135,137,143,148,153,158,161,164,165,167,171,173,175,175,176,178,179,178,179,179,178,178,178,178,103,113,123,132,135,139,144,149,155,158,161,165,166,169,172,174,176,177,177,178,179,179,180,179,179,179,179,179,103,114,125,133,134,139,145,150,153,158,161,164,166,168,172,175,177,178,179,182,184,182,182,181,180,180,180,180,104,114,125,135,137,137,141,159,168,164,168,174,174,178,176,169,166,173,170,171,169,170,178,183,182,181,182,181,104,116,127,133,134,150,178,193,188,173,168,183,192,193,189,172,171,188,174,163,156,139,163,164,180,184,183,182,107,115,123,142,173,194,195,189,186,167,149,156,168,173,172,154,154,172,166,154,145,137,151,133,179,190,185,182,101,123,163,191,197,189,189,195,185,158,148,164,181,185,191,170,159,169,160,172,169,152,145,154,161,165,181,186,149,188,200,192,195,192,192,194,180,147,132,137,168,175,174,171,173,166,169,178,179,169,164,167,152,167,154,171,202,199,198,197,202,194,194,199,193,132,103,109,106,97,109,125,127,133,136,136,140,143,141,143,137,148,140,174,203,205,202,198,199,196,197,207,177,118,94,99,99,75,58,66,143,164,166,169,165,163,160,160,160,162,175,185,206,202,198,195,196,196,198,196,150,100,97,104,103,96,83,61,166,190,187,189,189,189,191,190,190,191,188,186,197,197,199,197,199,199,201,197,144,90,78,87,107,123,107,74,129,191,182,185,187,187,186,187,186,186,186,186,197,204,202,200,203,203,210,195,134,88,84,51,58,105,106,85,131,190,185,187,187,189,187,187,187,187,187,185,200,196,194,189,182,179,187,150,118,94,90,84,66,91,114,132,174,183,184,185,185,186,185,185,185,184,183,182,183,182,176,166,154,161,157,124,109,101,97,83,83,95,109,115,114,112,113,114,115,112,110,110,109,107,106,104,163,163,155,149,142,140,131,104,98,92,100,93,91,92,91,88,87,87,85,85,87,87,88,88,88,86,83,81,121,133,132,123,109,101,97,97,98,95,98,99,98,99,100,99,96,101,102,97,97,95,93,94,94,92,90,90,99,101,95,89,92,96,98,98,96,97,97,96,96,97,96,96,94,100,101,98,100,95,92,91,91,92,91,92,79,73,79,95,98,99,100,98,98,98,98,98,98,96,97,97,96,95,93,95,97,94,92,92,91,90,92,86,90,80,83,96,99,100,99,99,100,100,100,101,99,98,99,99,98,97,95,96,96,95,95,92,91,93,86,105,106,89,84,92,99,99,99,99,99,99,100,100,98,98,98,98,98,97,97,95,94,93,94,93,93,88,96,186,92,85,86,87,97,99,99,98,99,100,100,100,99,99,98,98,98,97,96,96,96,94,93,94,91,87,177,187,96,90,84,81,96,99,99,99,99,99,98,98,98,97,97,97,97,96,96,96,95,94,94,92,103,158,171,152
18,77,82,86,92,100,106,112,119,123,124,125,128,132,135,138,140,145,145,146,147,149,149,152,152,154,155,156,159,79,84,87,93,100,108,113,119,123,125,128,126,133,132,137,143,141,143,149,151,149,151,152,153,154,155,157,159,81,85,87,94,100,108,116,118,121,127,122,142,154,110,95,127,158,133,108,144,155,152,154,154,155,158,158,160,80,85,89,96,104,109,112,123,156,117,102,164,148,124,108,149,173,128,91,77,143,157,154,155,158,161,160,162,80,85,89,98,102,111,105,171,177,118,109,176,134,142,146,158,139,117,116,78,85,162,154,156,158,160,162,163,82,86,89,93,116,133,102,178,167,132,126,152,136,133,134,135,109,122,120,110,68,135,161,158,161,162,163,164,83,86,91,93,183,152,109,109,180,140,134,97,125,105,111,100,99,137,127,122,93,82,163,160,161,162,164,165,84,89,81,128,203,162,142,100,155,163,128,80,129,120,80,49,125,147,140,136,119,74,106,169,161,164,166,167,83,90,81,158,175,175,164,120,99,165,130,87,97,153,108,47,85,141,146,155,126,100,67,131,171,163,164,167,84,89,85,159,125,166,157,120,70,120,125,85,64,115,98,47,69,147,169,162,130,104,85,79,167,163,165,167,84,87,92,174,119,129,120,85,62,71,89,71,44,67,50,117,176,164,155,150,127,107,89,77,161,169,167,169,84,84,98,190,150,146,115,70,55,52,71,63,25,34,130,190,171,159,146,126,112,99,82,94,171,167,168,170,86,81,117,188,143,131,113,76,47,43,77,58,17,112,200,186,172,153,135,108,92,88,72,126,174,168,170,170,87,77,130,208,164,144,123,92,61,59,69,58,100,190,191,189,169,142,124,102,85,78,74,158,170,169,171,171,87,79,123,218,178,166,151,124,108,110,100,116,176,193,192,178,155,131,111,95,82,68,100,174,167,170,171,172,87,82,119,218,188,171,149,129,124,127,124,162,191,189,184,162,141,121,104,89,80,66,135,173,168,172,173,174,88,84,114,215,191,171,152,140,140,136,147,174,185,183,163,146,131,112,97,88,78,75,162,169,171,172,173,174,87,86,103,206,193,176,160,154,149,149,160,172,174,171,143,130,118,104,90,85,67,103,173,167,170,173,173,174,86,91,90,186,197,185,175,163,153,150,155,161,155,153,134,118,107,96,87,83,66,148,171,168,169,173,174,174,85,92,89,155,203,193,191,175,154,142,131,140,137,135,126,106,95,89,84,67,98,172,168,169,171,173,175,175,86,92,95,119,199,189,188,178,153,133,123,123,127,130,121,101,90,86,81,59,139,172,168,169,171,173,174,175,86,92,100,99,170,181,164,161,148,129,119,119,121,127,124,105,92,88,68,78,167,166,169,171,173,173,175,176,86,91,101,102,129,182,157,144,131,116,119,123,108,120,121,103,87,86,58,108,172,166,170,172,173,174,175,176,85,90,102,110,112,164,143,132,130,122,138,135,108,112,119,103,86,82,56,125,173,167,170,173,173,175,175,176,84,91,102,110,108,146,148,139,146,133,133,134,110,101,113,103,89,80,51,112,177,167,170,173,173,175,175,176,81,91,100,108,110,132,168,153,150,134,125,131,112,96,105,99,87,82,55,89,174,166,170,172,173,174,175,175,82,91,100,108,114,121,182,169,155,137,123,126,117,96,92,96,88,81,64,65,167,167,169,172,173,173,175,175,82,91,98,108,115,117,180,178,156,136,119,122,121,94,89,96,86,79,69,58,154,169,170,172,173,174,175,175
14,238,241,240,241,243,243,244,245,245,244,244,243,243,245,246,244,246,245,246,244,245,244,244,244,243,241,240,242,240,241,242,243,244,245,245,246,248,246,245,245,255,244,241,249,248,245,247,246,246,247,247,246,246,244,244,243,241,242,244,245,245,248,249,251,248,247,255,255,254,197,195,255,249,250,250,249,249,249,249,249,249,246,245,245,242,244,246,247,248,248,250,247,249,255,255,227,188,167,154,218,245,244,250,249,250,250,250,248,248,248,247,245,244,246,248,250,251,251,246,255,255,255,207,157,154,146,160,198,229,187,199,255,251,252,251,251,249,249,249,249,245,247,249,250,251,248,255,255,255,232,171,143,160,139,149,181,198,156,206,255,251,255,254,253,252,251,251,250,248,250,252,252,252,245,255,255,231,167,141,142,149,133,139,144,165,150,215,255,255,255,255,255,255,254,252,251,250,252,252,253,254,250,255,255,205,133,116,121,135,157,169,146,181,216,208,192,237,255,255,255,255,255,254,253,251,252,252,255,253,255,255,255,201,144,128,132,124,139,147,125,140,191,200,152,235,255,255,255,255,255,255,255,251,252,254,255,252,255,255,255,174,133,139,153,122,132,142,152,155,161,151,147,234,255,255,255,255,255,255,255,255,255,255,255,252,255,255,255,192,137,140,154,136,147,163,173,162,146,175,183,186,176,252,255,255,255,255,255,255,255,255,255,255,255,255,255,217,165,140,134,150,155,126,142,153,192,193,181,175,192,209,255,255,255,255,255,255,255,255,255,255,255,255,255,214,173,150,130,162,152,182,233,254,255,255,245,217,244,196,249,255,255,255,255,255,255,255,255,255,255,255,255,214,169,154,138,153,139,250,255,255,255,255,255,227,238,194,255,255,255,255,255,255,255,255,255,255,255,255,255,230,179,148,147,134,181,255,255,255,255,255,240,220,234,190,255,255,255,255,255,255,255,255,255,255,255,255,255,237,189,148,140,140,255,255,255,255,255,255,236,220,236,179,248,255,255,255,255,255,255,255,255,255,255,255,255,242,193,156,126,172,255,255,255,255,255,255,224,202,228,185,211,255,255,255,255,255,255,255,255,255,255,255,255,247,200,165,119,217,255,255,255,255,255,248,212,223,222,189,199,255,255,255,255,255,255,255,255,255,255,255,255,250,199,174,126,174,251,255,255,255,255,195,217,230,215,177,244,255,255,255,255,255,255,255,255,255,255,255,255,247,204,182,148,122,142,164,170,203,197,196,217,220,192,216,255,255,255,255,255,255,255,255,255,255,255,255,255,245,219,199,161,137,150,155,174,184,186,197,213,200,190,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,237,211,177,142,162,176,188,195,199,189,195,177,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,212,181,157,165,184,189,193,196,191,163,211,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,213,183,166,161,183,188,188,192,179,180,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,209,178,167,161,178,185,182,182,176,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,183,160,159,159,177,177,187,163,238,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,197,146,147,147,156,166,175,170,198,255,255,255,255,255,255,255,255,255,255,255,243,221,226,223,202,196,173,155,134,116,113,125,149,159,160,184,255,255,255,255,255,255,255,255,255,255,255
6,203,204,203,203,204,204,204,203,202,203,203,202,201,201,198,197,196,195,194,193,191,189,187,187,186,183,181,178,207,207,208,209,208,208,208,207,206,207,206,204,203,201,200,199,198,197,196,195,194,192,190,189,188,186,185,181,210,211,211,210,210,211,211,210,209,209,210,208,207,206,204,202,202,200,199,198,197,194,193,192,191,189,186,185,212,213,212,212,213,212,212,213,212,211,212,210,209,210,208,206,204,203,202,200,198,198,196,194,194,192,188,187,216,215,215,215,215,216,216,215,215,214,214,215,212,211,210,209,207,205,204,203,201,200,199,197,195,195,192,190,216,216,218,217,217,218,217,217,217,217,217,215,215,214,212,211,210,209,208,206,204,202,202,201,198,196,194,193,218,218,219,219,219,219,220,219,219,220,218,218,217,216,215,213,212,210,210,209,206,204,203,202,201,198,196,194,220,220,221,221,222,222,222,222,222,222,221,221,220,217,215,216,214,214,215,214,213,209,208,208,204,199,200,197,222,222,223,223,223,223,224,224,224,224,224,224,224,224,223,221,218,211,204,197,190,192,187,174,176,187,182,198,224,222,223,223,224,225,225,224,228,227,222,213,207,204,194,183,174,172,150,144,154,161,152,143,182,220,171,180,224,224,225,225,225,225,226,229,215,186,165,162,158,164,165,161,157,155,146,141,158,140,141,136,137,153,142,187,226,227,226,227,225,229,224,205,186,171,149,152,159,163,169,162,154,124,119,107,103,107,124,127,134,160,189,206,229,229,229,229,232,214,190,186,184,166,131,109,121,121,112,111,113,106,117,148,180,197,207,212,218,218,211,206,228,229,230,233,207,179,182,183,176,162,141,101,75,50,154,213,220,219,222,229,227,222,219,216,211,210,209,209,229,231,233,207,177,181,186,184,186,186,171,120,71,63,95,135,172,221,226,221,222,219,217,217,216,214,212,211,234,229,204,186,188,192,195,193,191,190,144,84,65,69,64,58,50,96,227,225,224,223,220,219,217,215,213,211,216,189,184,196,195,194,197,182,179,173,106,66,59,63,72,76,76,52,171,236,223,224,223,220,218,217,214,211,184,185,197,199,195,194,186,171,178,174,145,116,67,47,59,64,70,41,116,239,223,224,223,221,218,217,215,212,189,191,195,199,200,192,174,176,181,181,186,147,82,59,60,52,61,124,208,229,224,223,223,222,219,218,216,214,191,193,199,203,193,178,170,173,171,171,167,115,67,61,64,61,68,234,236,226,227,224,224,223,220,219,216,215,193,195,197,190,179,172,171,170,161,153,144,103,56,48,60,54,79,226,229,227,227,225,223,222,219,218,217,216,193,190,177,171,177,175,167,160,146,143,153,139,79,50,53,67,206,234,227,225,225,224,223,221,217,215,214,213,180,169,164,171,167,153,142,137,142,154,170,156,86,65,64,68,229,231,228,225,223,223,223,219,222,226,222,211,172,169,169,160,146,136,140,144,149,150,153,115,68,55,43,111,234,228,227,226,229,227,227,231,206,174,137,99,166,164,154,143,142,141,139,126,117,109,93,56,73,111,148,229,233,238,239,231,211,211,210,182,98,66,51,56,150,137,113,115,131,134,123,100,80,69,76,138,226,245,248,239,236,180,152,115,77,85,76,64,54,68,54,45,103,82,60,73,95,97,87,74,79,121,173,207,211,207,210,213,157,80,76,55,37,54,42,48,46,44,54,32,79,54,67,100,106,103,100,101,111,117,116,110,108,110,109,93,71,69,60,63,32,44,43,38,40,37,41,33
4,196,199,200,200,201,201,203,203,203,202,205,205,204,205,205,205,205,203,204,205,204,204,204,204,204,205,203,202,199,200,201,202,202,204,204,204,205,205,205,205,206,206,207,206,208,210,206,206,206,206,207,206,206,206,206,205,201,202,202,203,205,205,206,206,206,206,206,205,205,208,211,199,177,186,210,208,210,206,208,208,208,208,208,208,203,203,203,205,206,206,207,208,206,206,209,192,176,188,235,208,176,131,201,214,210,213,208,210,209,208,208,209,205,205,206,207,208,208,208,209,209,213,236,207,198,164,228,220,188,147,155,189,175,188,216,211,212,209,211,211,206,207,207,209,210,210,209,208,199,203,235,234,198,167,192,231,184,157,108,180,174,134,192,218,212,214,213,213,207,209,208,211,213,211,211,219,213,202,171,223,215,176,167,233,191,155,103,184,185,140,131,222,214,216,215,216,208,210,211,212,214,210,216,233,225,213,144,147,222,169,142,231,201,152,97,184,189,147,111,212,218,216,217,217,210,212,212,213,214,211,222,213,206,198,135,122,189,166,138,190,177,131,98,190,185,141,107,211,222,218,218,218,212,213,215,215,215,213,222,214,188,198,131,106,189,176,152,154,137,99,94,188,167,117,119,220,221,219,219,219,212,214,215,217,217,214,218,221,178,189,149,111,172,188,183,168,168,140,104,152,141,107,123,227,219,222,220,220,213,214,216,216,219,218,219,234,213,177,161,116,126,201,209,211,199,183,136,107,122,104,138,232,220,223,222,222,215,216,218,218,220,219,220,234,216,183,141,102,97,167,204,211,210,180,138,99,105,99,158,235,221,222,222,223,215,216,219,221,221,218,222,233,196,159,141,122,102,92,147,195,199,173,142,113,103,96,172,237,223,224,224,224,217,219,220,220,220,217,225,226,191,161,138,121,106,104,109,135,180,179,161,125,108,91,176,235,223,225,225,224,218,219,221,221,221,219,227,234,207,174,149,133,122,114,135,119,178,206,177,141,117,90,185,235,225,226,226,225,219,219,221,222,222,220,229,232,206,161,138,132,122,111,142,181,218,221,202,164,131,94,175,239,225,227,227,226,219,221,221,222,223,222,231,231,198,166,145,131,139,126,166,220,235,225,219,177,142,110,135,239,226,228,228,228,221,221,222,223,225,224,231,227,201,168,152,142,163,137,193,237,241,222,200,169,143,116,137,239,227,229,229,229,221,221,222,224,225,225,232,225,203,172,161,163,161,153,215,238,233,218,194,156,139,108,162,242,230,231,229,230,221,222,224,225,225,224,227,224,201,179,170,168,157,159,223,237,220,197,182,143,126,103,192,239,230,231,229,229,222,224,225,225,225,226,225,221,196,176,159,179,156,160,223,234,206,178,165,133,116,111,220,235,231,231,228,229,222,224,226,225,228,227,224,217,200,175,180,197,151,161,228,224,194,166,148,125,111,135,239,231,233,233,232,232,222,225,226,225,228,229,226,212,201,185,178,196,159,161,229,200,180,155,134,120,104,176,243,232,234,233,233,233,223,224,224,225,227,228,227,217,206,189,175,191,163,166,217,185,167,139,125,119,107,212,240,234,235,234,233,233,222,222,223,223,226,226,220,230,216,191,175,172,155,151,206,177,149,133,121,114,124,232,234,234,234,234,234,234,222,223,223,224,226,218,222,238,215,187,172,154,136,144,183,157,132,126,121,103,170,240,233,234,234,234,234,234,222,224,224,226,227,214,233,229,213,200,176,143,139,156,178,130,132,120,114,127,225,235,233,234,233,233,233,233
23,168,170,174,175,176,177,178,179,179,180,182,181,181,180,180,181,181,181,181,182,181,182,181,181,182,180,181,180,170,172,175,176,177,179,179,180,182,181,180,180,181,182,182,183,184,184,185,182,182,182,183,182,182,182,181,181,173,175,176,179,179,180,181,181,184,183,182,183,184,181,181,179,171,174,184,187,184,185,185,185,185,184,183,182,174,175,179,180,181,183,183,184,184,186,187,186,182,193,205,187,168,155,166,154,176,189,187,187,186,187,186,184,175,177,180,181,183,184,186,186,186,187,188,186,197,206,194,173,150,148,132,110,178,191,188,189,188,188,188,187,176,179,181,183,185,187,187,187,187,188,189,201,201,165,158,127,138,143,142,172,191,188,190,189,190,191,190,190,178,180,182,184,186,187,187,188,189,188,189,196,176,129,124,162,197,195,198,195,190,192,192,191,191,192,192,191,181,182,185,187,187,188,189,189,191,190,191,188,163,136,130,208,190,191,184,185,195,192,194,194,194,193,193,193,182,184,186,188,188,190,191,191,192,192,194,189,163,160,124,190,191,201,188,126,173,198,194,195,196,196,194,194,182,186,188,189,190,192,192,193,194,193,192,194,179,161,146,202,213,206,186,114,141,207,195,196,196,196,194,194,184,188,189,189,192,193,193,194,194,194,193,199,187,193,214,210,194,191,179,100,114,162,166,200,195,196,195,194,184,187,189,190,193,193,193,194,195,195,194,193,197,208,201,193,197,187,153,105,65,123,129,202,199,197,197,196,186,187,190,192,193,193,195,196,196,196,192,193,200,206,207,193,192,182,114,90,59,100,93,126,206,200,198,198,187,188,190,193,193,194,195,196,196,199,197,196,198,201,195,187,192,173,105,83,62,82,93,72,131,208,198,199,188,189,191,193,194,195,197,198,196,204,208,191,193,194,194,195,183,140,99,88,65,71,91,93,86,197,201,199,189,190,192,194,195,196,198,199,198,199,203,194,197,198,189,167,130,92,103,93,67,68,90,84,130,208,199,200,189,191,192,193,196,198,198,199,200,192,199,195,192,177,152,118,71,78,105,90,62,78,96,89,188,208,201,201,189,192,194,195,197,198,198,199,201,194,197,192,187,178,136,97,66,96,94,64,60,84,89,141,211,201,203,202,188,191,193,195,197,198,199,199,201,195,194,190,194,180,115,77,67,77,60,60,71,82,94,192,208,203,205,204,189,191,192,194,194,196,198,198,200,195,190,190,197,162,113,91,62,59,64,74,90,79,132,213,203,205,206,205,189,192,193,194,196,197,197,198,199,194,191,195,199,166,122,101,65,63,88,98,104,86,170,215,205,205,205,205,189,191,193,195,197,198,198,198,200,192,188,203,195,167,132,106,80,69,96,105,107,90,185,211,204,205,205,205,188,191,194,195,198,198,198,198,200,192,183,203,194,167,135,108,90,71,97,107,103,102,202,207,205,205,204,204,188,191,194,195,197,198,199,199,200,190,184,197,190,164,132,106,94,75,94,110,92,129,214,204,206,206,205,205,190,192,193,195,197,198,199,198,202,182,181,195,186,159,131,105,93,81,88,104,87,182,211,204,205,205,206,206,191,193,197,197,200,203,204,204,207,180,191,195,177,154,128,105,92,88,85,88,155,216,208,209,208,208,207,204,128,132,137,140,142,144,147,153,149,166,208,198,173,146,122,105,93,91,81,141,198,193,194,200,201,196,194,192,103,103,105,104,105,106,108,107,97,178,217,197,171,138,121,107,92,90,97,115,125,140,147,170,183,173,180,179
17,124,130,132,139,145,150,153,158,162,163,166,168,170,171,171,169,170,170,168,161,170,167,167,167,167,165,162,161,127,131,134,141,148,152,157,160,163,166,168,170,171,172,173,174,169,178,180,107,153,174,168,168,168,165,163,163,128,133,135,141,148,154,159,161,165,168,170,172,173,174,176,173,186,177,117,74,136,180,170,169,168,167,167,165,130,134,138,143,150,158,160,163,167,169,172,176,176,178,179,173,196,190,128,48,132,183,172,172,170,169,169,167,132,135,139,145,152,159,162,166,169,172,175,177,179,178,180,176,190,196,161,65,141,184,173,174,173,172,170,168,133,138,140,147,154,159,164,168,170,174,176,178,179,180,181,179,185,211,182,98,153,184,176,176,175,174,173,170,136,138,143,149,155,161,166,169,173,176,177,180,182,183,184,182,189,221,191,119,149,187,178,178,176,176,174,172,137,140,144,151,157,163,167,170,174,176,179,182,183,184,184,182,192,225,194,124,125,191,180,181,177,177,177,175,138,142,145,153,159,164,168,172,176,179,182,184,186,190,187,183,207,229,209,143,100,189,182,183,181,179,178,176,139,143,146,155,161,165,170,175,177,180,184,184,163,167,192,189,221,224,204,151,93,184,186,184,183,182,179,177,142,145,149,156,162,167,173,176,180,183,189,189,149,84,179,208,178,187,195,144,88,178,188,185,184,184,183,180,143,146,150,157,164,169,175,177,179,176,191,179,150,61,102,151,128,178,191,147,80,176,191,186,186,184,183,183,144,146,151,158,164,170,173,181,190,191,194,152,143,127,83,70,134,193,172,151,86,174,194,188,187,186,185,185,145,148,153,162,167,173,174,194,211,197,217,194,188,165,100,57,132,176,161,146,92,161,198,189,187,188,187,186,146,149,154,163,169,175,176,194,209,144,181,208,189,160,137,84,75,124,137,128,83,142,203,190,191,190,188,187,148,150,155,163,170,176,180,185,200,158,86,110,150,170,168,130,71,58,90,101,77,130,205,191,192,192,190,189,148,151,158,165,171,177,183,184,202,180,116,42,82,139,187,158,118,74,57,82,67,140,207,192,194,194,191,190,150,152,158,167,172,179,183,188,217,193,209,89,77,155,202,166,140,109,59,56,49,148,207,194,196,195,193,191,151,153,159,167,173,180,186,185,228,214,160,109,114,235,206,173,146,118,55,37,37,164,206,196,197,195,194,193,152,154,160,169,176,182,188,185,230,208,146,154,196,226,202,154,145,104,51,36,51,197,202,199,198,197,196,194,152,155,161,169,177,183,188,187,230,201,182,176,237,193,190,162,122,100,54,26,119,216,198,200,199,199,198,195,153,156,163,171,178,183,189,192,224,218,183,187,234,196,188,186,130,80,50,35,184,210,201,202,200,199,199,196,154,156,163,172,178,185,191,192,218,228,184,195,223,191,169,165,117,65,41,57,207,204,204,203,202,200,199,198,154,157,163,172,180,186,192,191,211,227,189,178,198,159,142,124,77,56,32,100,221,203,206,204,201,201,200,200,154,158,165,172,180,186,192,194,205,218,174,146,164,146,126,96,65,61,35,172,219,206,207,205,204,202,201,200,153,156,164,172,178,185,192,192,205,211,141,131,152,163,137,100,76,45,83,218,207,209,207,206,205,203,202,200,152,155,163,172,177,193,119,16,165,206,180,180,162,167,151,100,73,38,156,218,207,209,207,205,203,202,201,200,153,155,163,171,184,165,66,9,107,206,185,170,162,160,148,104,60,54,194,211,208,208,207,206,204,202,201,200
13,160,161,164,167,170,173,175,177,180,180,182,183,184,184,185,185,184,187,189,186,187,187,186,187,187,187,188,188,161,163,167,168,171,175,176,179,181,182,183,185,186,185,186,185,185,183,181,190,188,188,188,188,189,189,190,190,162,165,168,170,172,175,178,180,182,182,184,187,187,186,189,187,191,169,123,135,195,190,190,189,189,189,191,191,164,167,169,172,174,177,179,180,183,183,186,187,186,188,188,196,205,170,119,88,196,186,193,194,189,191,191,192,166,168,170,174,176,179,182,183,184,184,187,186,192,169,141,160,201,165,117,84,138,126,127,172,198,193,194,193,167,169,171,175,178,180,182,184,186,187,188,195,218,167,127,116,193,158,121,63,124,141,89,97,201,194,195,193,167,170,172,176,179,182,183,185,188,188,187,185,204,190,145,122,184,149,102,84,178,154,95,74,180,200,194,195,168,171,174,177,180,183,185,187,187,188,189,140,111,158,158,111,180,172,88,125,191,143,98,75,184,201,196,198,169,173,176,177,181,184,186,188,188,203,188,146,108,104,156,100,197,186,101,143,183,136,93,80,194,200,199,199,171,174,177,180,184,185,187,187,200,188,189,163,125,91,143,111,120,138,75,141,207,153,83,89,203,200,201,201,171,175,179,182,183,186,188,192,198,157,183,165,123,81,119,133,52,29,69,152,185,130,60,111,210,198,202,203,171,175,179,182,184,187,188,197,198,160,155,160,123,74,101,129,78,15,84,167,147,100,66,156,213,200,201,202,173,176,178,182,185,188,191,203,193,159,138,169,117,81,89,117,83,62,133,166,163,153,119,115,209,203,203,203,174,176,179,182,186,188,189,207,194,165,130,160,114,81,81,135,99,123,201,167,147,134,116,80,174,212,202,204,175,176,179,183,186,188,190,207,191,163,126,144,124,94,84,164,128,167,194,177,149,118,100,81,179,213,203,204,175,177,180,183,187,189,193,207,193,173,152,126,123,111,65,154,175,201,188,166,142,109,91,92,201,207,206,206,176,179,182,184,187,189,195,209,195,176,161,139,110,95,107,194,201,205,184,158,132,104,85,107,212,207,209,208,175,179,181,184,187,189,194,206,194,177,164,159,131,123,138,196,201,199,171,142,119,98,79,151,216,207,209,208,175,178,181,184,187,189,191,199,194,183,170,165,140,123,122,188,204,187,153,128,110,90,99,204,207,207,207,207,175,178,181,185,188,190,192,193,192,185,170,168,149,126,129,182,200,172,144,119,102,77,141,215,204,207,207,207,176,179,182,185,188,190,192,193,195,188,172,166,151,129,133,170,182,154,133,110,95,79,179,210,206,207,208,208,177,180,182,187,188,189,191,194,196,187,170,162,146,123,134,164,153,138,120,102,86,111,209,205,208,208,208,208,178,180,182,186,188,190,192,194,197,177,161,151,128,116,141,151,132,128,108,96,80,173,212,206,208,208,209,209,177,179,182,184,189,191,188,193,197,168,160,141,124,127,146,146,130,121,106,84,130,211,206,207,208,208,209,210,181,184,187,189,193,197,187,202,198,172,166,142,130,142,155,134,125,104,92,91,191,210,206,207,207,208,208,208,144,150,156,162,166,166,174,206,200,178,176,143,137,153,144,122,112,95,74,147,217,209,211,213,215,215,215,214,96,98,100,100,103,93,142,202,183,177,176,146,140,149,137,112,97,86,80,120,139,141,146,146,150,156,159,169,107,108,107,105,108,94,151,200,172,163,160,140,133,147,135,99,92,81,85,101,101,102,102,110,127,141,142,154
19,129,131,135,137,139,143,144,145,146,147,147,148,148,150,151,152,152,152,152,152,153,151,152,153,151,150,151,149,132,135,140,143,144,147,149,150,150,151,151,152,153,155,156,157,156,155,155,157,157,156,157,157,156,156,156,153,136,140,144,148,150,152,153,155,156,156,156,157,157,159,163,159,158,160,160,161,160,159,159,159,158,159,158,157,142,144,149,153,154,156,156,159,159,160,159,164,158,109,129,170,161,164,165,165,165,164,164,164,163,163,161,159,145,148,153,156,157,159,159,162,163,164,161,178,166,107,71,170,167,167,168,167,167,167,168,169,168,167,166,165,148,151,156,159,161,163,164,165,166,167,165,183,172,124,50,151,182,177,176,173,172,171,170,171,171,171,170,169,152,157,159,163,165,167,168,170,170,172,171,183,173,119,50,130,152,147,171,171,173,178,180,177,177,175,173,173,156,160,162,166,167,169,171,173,178,180,177,181,162,141,154,162,133,96,128,130,123,135,142,169,168,175,176,174,159,163,166,168,172,173,175,177,175,171,171,168,169,171,162,146,128,89,105,135,131,127,112,140,116,155,185,177,163,166,169,172,175,177,178,173,138,137,147,152,152,145,140,144,137,89,62,92,100,95,88,90,125,178,183,181,165,168,172,175,178,179,185,159,130,127,127,133,138,145,143,143,136,72,144,176,167,159,162,171,189,188,184,183,166,171,175,177,180,181,189,155,151,133,114,117,125,130,124,119,119,77,157,204,194,198,198,195,191,191,187,186,169,173,177,180,184,184,182,186,180,133,102,112,118,129,139,130,119,86,107,205,191,193,193,194,193,192,191,190,172,176,179,182,185,187,181,188,193,158,126,94,95,110,116,104,98,65,112,208,192,196,195,197,195,194,193,191,173,177,182,184,186,189,185,175,187,195,144,104,101,112,113,95,83,54,151,211,198,200,200,198,198,196,194,194,175,179,183,187,190,190,182,188,189,176,128,115,110,107,97,76,65,50,175,208,204,202,200,201,200,198,197,198,178,181,186,190,192,190,185,195,190,164,131,111,115,89,51,25,39,73,204,202,204,204,202,202,202,200,199,199,180,184,189,191,195,192,187,195,185,152,115,118,144,72,20,10,32,129,214,200,204,205,205,203,202,202,200,200,182,186,191,194,197,196,184,192,181,146,112,136,127,53,13,20,92,204,205,204,206,206,207,206,204,203,201,202,184,188,193,196,198,200,183,184,175,136,117,148,110,57,34,18,157,219,204,208,208,207,208,207,206,206,205,203,186,189,193,197,200,201,177,171,164,137,147,155,103,53,43,36,184,215,209,210,210,209,209,209,209,208,207,207,188,191,194,198,200,203,176,166,166,153,159,143,88,50,38,74,218,207,211,211,211,211,210,210,209,209,209,208,188,192,195,198,200,203,167,168,169,156,148,118,74,50,36,138,226,208,211,212,212,212,212,211,211,210,210,209,191,193,197,200,202,203,164,173,161,136,127,93,64,49,64,203,215,212,212,215,216,215,214,214,214,214,213,212,192,195,197,201,205,202,164,174,158,129,105,68,63,46,132,229,213,216,215,216,216,216,215,216,216,216,216,213,194,197,198,201,208,200,168,194,168,129,91,57,54,33,165,226,215,217,217,218,218,217,216,215,215,216,216,215,193,197,200,201,210,190,174,193,153,115,79,57,39,62,214,219,216,217,218,219,219,218,218,217,217,216,217,216,191,193,200,202,211,177,179,176,122,95,75,64,25,118,234,213,217,217,218,218,218,218,218,217,217,218,219,216
5,145,153,157,160,167,174,179,183,187,190,189,194,197,198,199,200,201,201,200,200,199,198,198,198,196,194,194,193,146,154,158,161,169,176,182,185,185,203,198,151,201,200,201,202,204,203,203,203,202,200,199,199,197,196,196,196,148,157,160,164,172,178,184,188,181,229,192,135,201,203,203,203,204,204,204,205,203,202,201,202,201,198,198,196,149,158,161,165,173,179,184,186,194,253,141,160,208,203,204,206,206,206,205,201,204,200,202,202,202,200,199,197,150,158,163,163,173,181,188,181,227,252,120,187,208,205,206,208,208,204,205,220,237,150,179,209,202,202,199,198,152,161,159,182,177,174,191,179,253,237,130,200,207,207,208,212,205,213,252,233,183,137,194,209,204,203,201,200,153,163,152,226,189,135,197,185,255,213,138,208,208,209,212,208,220,255,237,146,145,201,210,206,207,205,203,201,153,165,152,233,181,131,197,194,255,190,141,214,210,212,209,222,255,244,159,137,205,215,209,207,207,206,205,204,156,166,159,253,164,143,196,207,255,175,133,216,209,210,223,255,226,151,147,211,218,212,212,210,209,208,206,204,157,166,163,251,175,135,197,213,255,192,125,207,213,213,255,239,140,134,211,219,215,213,213,212,211,210,208,206,157,169,161,237,211,125,195,207,255,196,117,201,219,226,243,182,122,189,226,214,217,216,216,213,214,212,211,209,160,171,163,214,243,133,152,202,253,194,101,175,215,200,179,138,158,221,214,216,219,219,216,215,208,210,213,210,162,170,167,194,250,194,168,154,218,222,140,117,142,147,130,139,207,208,247,255,249,244,235,219,145,173,226,208,164,171,174,182,211,227,218,182,181,205,150,119,119,128,127,166,190,223,215,198,212,234,219,197,159,125,197,219,164,172,175,182,187,199,223,241,246,213,153,114,114,118,143,148,151,174,133,123,228,244,193,159,140,131,193,221,165,172,173,182,194,193,199,250,255,246,172,114,115,114,127,140,130,107,147,217,255,199,137,154,202,219,221,216,167,173,176,184,193,202,202,226,255,255,189,121,110,108,115,126,105,157,239,230,225,145,131,222,229,222,221,220,168,174,177,187,194,201,209,207,255,255,220,141,107,108,105,103,90,164,204,211,223,138,171,236,222,223,223,221,170,175,178,188,195,202,210,207,246,255,240,172,114,102,100,111,128,159,171,204,209,132,195,235,225,225,224,221,168,175,178,188,194,199,207,209,226,255,255,204,134,101,103,115,130,171,193,187,191,132,206,234,225,226,225,222,168,174,177,185,194,201,206,208,222,255,255,232,162,107,105,113,145,188,191,162,151,120,212,233,227,225,224,222,167,174,177,186,196,204,211,211,221,255,255,245,186,122,102,123,162,193,182,142,122,153,234,230,230,225,224,223,170,177,177,188,196,202,209,212,219,255,255,249,209,143,109,113,168,184,173,128,123,223,236,231,230,227,225,225,169,176,178,186,195,203,208,213,216,255,255,253,225,169,129,109,153,175,156,119,142,238,230,230,229,227,224,223,166,174,179,188,196,205,212,220,218,253,255,255,239,201,150,119,125,156,140,115,188,248,237,238,237,233,232,234,157,162,167,172,175,181,184,190,182,242,255,255,251,210,157,130,121,139,126,123,184,194,189,190,189,189,190,177,117,118,118,120,118,116,116,121,102,222,255,255,246,192,151,134,124,126,126,118,106,105,102,103,104,100,96,161,124,125,125,125,126,123,125,131,112,217,255,255,219,157,138,129,125,128,124,116,116,115,114,114,110,118,214,255
0,204,204,206,205,205,207,208,208,208,209,207,208,208,207,208,207,208,212,208,208,208,208,208,208,207,207,207,207,205,206,207,207,206,207,208,208,209,210,209,208,209,210,210,215,196,180,207,213,207,213,210,210,210,208,209,209,207,208,208,208,208,208,208,209,210,211,210,211,204,183,199,229,184,156,151,177,168,178,212,193,185,212,210,212,207,208,209,209,210,210,209,210,210,211,214,232,206,172,155,211,190,181,137,115,159,145,164,183,138,217,209,211,208,209,209,210,211,211,212,211,212,193,212,241,203,188,155,212,202,186,148,127,175,157,134,178,136,211,213,212,209,208,210,211,212,213,208,220,230,176,161,230,213,197,155,208,223,192,152,138,189,157,119,164,131,199,218,213,209,209,211,212,213,213,209,234,229,192,164,205,233,198,153,196,231,196,147,141,194,151,105,154,131,153,225,210,210,210,211,213,214,210,226,220,223,204,177,172,239,195,149,178,236,191,141,121,175,143,97,145,149,106,208,217,210,211,212,214,212,218,227,197,229,214,181,148,229,197,149,147,224,177,130,100,149,132,93,147,159,100,183,224,212,212,214,214,212,227,211,175,215,217,182,136,208,194,145,120,194,165,130,99,131,121,92,161,167,109,182,225,212,213,214,213,214,228,213,185,197,202,170,123,176,183,141,101,168,161,130,96,133,117,115,188,179,116,184,226,210,211,212,211,221,218,198,168,167,190,160,117,151,177,137,86,147,163,120,95,150,116,155,203,179,117,188,226,210,210,212,209,222,233,208,176,139,181,158,108,141,177,137,81,146,173,121,160,188,143,159,203,179,119,199,223,209,212,214,211,220,236,213,183,136,137,163,119,132,187,147,88,140,180,178,202,191,170,140,174,177,119,204,222,211,213,214,211,224,237,219,194,164,124,145,141,129,192,164,154,194,202,199,189,178,160,146,131,143,109,202,223,212,213,214,211,223,239,225,201,179,164,153,158,176,188,201,218,217,210,196,186,169,148,140,124,115,104,200,224,212,213,215,212,223,236,229,210,193,184,174,165,178,199,210,215,216,214,198,182,166,143,130,122,111,107,212,222,210,213,215,213,220,231,230,218,206,196,182,175,173,192,206,213,211,208,195,176,163,141,126,118,103,166,227,220,211,214,216,212,212,230,230,229,217,202,185,178,177,192,208,216,208,200,190,174,158,137,122,103,154,224,219,220,203,204,208,209,203,225,231,235,217,203,189,178,177,194,213,213,204,195,187,171,151,132,109,128,223,223,223,222,134,135,138,144,135,208,231,228,214,205,192,179,174,195,209,202,190,182,174,160,141,126,104,175,214,210,214,213,120,121,121,123,105,178,230,212,208,207,198,183,171,191,204,193,177,162,151,142,131,118,118,130,134,133,130,142,126,126,127,129,114,166,226,201,207,209,198,184,171,186,202,187,166,141,130,125,116,120,126,119,115,130,172,209,125,124,124,127,116,157,225,196,208,208,195,185,174,182,196,181,150,123,117,112,125,127,126,140,182,226,234,222,125,124,123,128,119,153,235,207,209,205,190,183,175,171,181,171,134,115,111,118,125,139,197,231,244,232,222,211,123,123,124,126,117,147,238,217,214,203,188,184,180,164,173,164,125,112,110,117,159,228,248,244,239,231,236,228,126,124,124,127,119,145,228,220,218,201,189,186,181,157,168,160,122,106,104,177,235,238,240,240,225,225,236,240,126,124,125,127,118,145,219,219,216,195,185,186,183,155,161,155,120,91,152,239,222,238,235,226,222,227,233,238
17,166,168,170,172,174,175,176,176,178,178,178,178,178,177,176,176,176,175,174,174,172,172,170,168,167,165,163,161,167,170,172,175,176,177,178,178,180,180,180,180,180,180,179,179,179,177,177,176,174,173,172,170,169,167,165,163,170,173,175,177,179,179,180,181,181,182,183,183,183,183,182,180,180,180,180,179,177,176,174,172,171,169,167,166,172,175,177,179,181,182,182,183,184,184,185,186,186,186,185,183,185,181,177,181,180,179,177,175,173,171,169,168,174,177,179,181,182,184,185,185,186,186,187,188,187,188,186,193,193,160,150,183,182,181,179,178,175,174,172,171,176,179,181,183,184,186,187,187,187,188,189,189,189,189,187,200,213,143,128,184,184,183,182,180,179,177,174,173,179,181,183,185,186,188,189,190,191,191,191,191,191,191,190,195,226,168,135,185,186,185,184,182,181,179,178,176,181,183,186,187,188,189,191,193,193,193,193,195,194,194,193,198,239,199,148,185,188,187,186,184,183,182,181,179,183,186,188,190,191,192,193,194,195,195,195,196,196,195,195,206,247,218,154,177,191,189,188,187,186,185,183,181,185,187,189,192,194,195,195,196,197,198,198,198,199,198,194,214,243,222,157,167,194,192,190,189,188,187,185,183,187,189,192,194,196,196,197,198,199,199,198,200,221,218,191,192,228,226,162,159,196,194,193,191,189,188,187,185,188,191,193,196,198,198,199,200,200,205,209,203,234,230,208,176,193,207,168,153,196,195,194,194,192,190,189,187,190,193,195,197,199,200,201,201,203,233,244,207,192,217,216,224,219,173,142,144,196,197,197,195,194,192,190,189,192,194,197,199,200,201,202,203,208,235,223,211,175,179,169,214,230,185,126,128,195,200,198,197,195,194,193,191,193,195,199,200,201,202,204,205,213,230,175,183,188,134,114,141,226,213,144,113,186,202,200,199,196,196,195,193,194,197,199,201,202,204,206,206,216,227,182,167,157,132,127,120,215,238,174,111,170,203,201,200,198,197,196,194,197,199,200,203,205,207,208,208,221,240,211,176,156,153,158,151,210,247,196,125,164,205,203,202,201,199,198,196,199,200,201,204,207,208,209,208,225,239,193,166,165,179,184,198,237,244,203,139,162,208,205,204,203,202,200,191,199,200,203,205,207,208,209,209,223,241,207,183,179,196,199,235,253,233,193,143,161,209,207,206,189,161,150,130,199,201,203,205,207,207,209,209,222,249,223,195,182,202,217,249,252,226,181,138,164,209,208,192,131,111,107,101,199,201,203,206,208,209,210,211,221,251,234,212,190,208,237,253,243,216,172,131,161,209,204,156,107,104,101,98,199,203,205,207,209,210,212,213,220,251,244,225,206,208,240,252,233,208,166,123,163,209,164,109,90,80,73,62,200,204,207,209,211,213,213,214,218,249,251,235,223,214,232,246,223,201,164,116,149,152,110,91,81,64,60,49,201,204,207,210,211,214,214,214,216,242,254,242,231,215,213,231,212,198,156,112,106,105,99,91,75,55,49,50,191,195,199,202,203,205,207,209,210,227,253,244,226,204,197,208,200,196,151,106,88,94,93,94,85,58,42,42,132,134,138,139,138,139,141,144,146,171,248,238,212,188,184,190,198,187,138,96,69,78,81,81,94,75,44,35,111,114,115,113,113,113,112,112,114,136,238,218,191,177,178,186,193,168,114,84,68,55,69,67,85,89,56,34,118,120,120,117,120,121,121,120,122,97,205,211,186,175,183,182,175,143,87,37,52,46,54,58,70,88,68,39
7,196,195,196,195,195,195,195,195,195,194,193,191,190,190,189,188,186,184,183,183,181,181,179,179,176,173,172,171,198,198,198,197,198,198,198,197,197,196,195,194,193,192,190,190,189,188,186,184,184,182,181,179,178,176,173,174,199,200,200,199,200,201,200,199,198,197,196,195,194,194,194,193,191,190,188,186,185,184,183,181,179,177,175,174,200,200,200,201,201,201,201,201,200,198,197,196,197,196,195,194,194,192,190,189,188,186,184,184,182,179,177,176,201,201,202,202,203,204,203,202,201,200,200,200,199,196,196,195,194,193,192,191,189,188,185,184,183,181,179,178,204,202,202,203,203,205,204,203,202,201,201,201,200,198,199,197,195,195,193,192,190,190,189,187,184,183,181,179,205,204,204,205,205,205,205,206,204,202,202,202,201,200,200,199,197,196,195,194,191,190,189,187,185,184,182,182,206,206,206,206,206,205,206,206,206,204,203,202,201,201,200,199,199,197,197,195,194,194,192,191,188,185,183,182,207,207,206,207,207,207,207,206,205,205,204,203,205,205,205,204,201,202,199,196,193,188,186,183,186,188,185,184,208,208,208,208,208,208,208,210,211,209,205,203,199,192,184,174,166,152,149,151,153,134,138,165,158,181,188,185,209,209,209,209,208,210,209,195,175,160,153,149,149,144,136,133,136,115,122,127,123,121,128,157,135,173,191,187,210,209,209,211,212,203,184,165,149,122,127,134,134,137,134,136,117,112,106,106,105,108,94,112,148,187,193,188,210,210,212,210,189,173,171,166,147,117,113,112,112,115,118,121,119,127,121,99,105,102,98,102,107,115,165,192,209,214,204,174,163,166,167,158,150,138,126,125,127,134,138,137,139,133,125,91,98,103,92,89,80,97,121,193,216,198,167,164,165,165,158,158,160,150,137,134,133,141,132,128,124,116,101,79,79,81,78,81,80,90,147,194,193,171,170,168,166,162,161,167,156,138,102,96,107,110,101,98,103,105,108,122,144,157,168,171,176,180,191,189,166,174,175,169,166,167,166,150,140,117,80,83,88,72,138,184,184,196,204,207,208,205,205,203,198,195,195,197,169,174,172,169,169,163,146,134,133,111,92,75,71,72,78,180,216,206,204,201,198,198,197,193,194,198,180,155,169,168,172,174,168,151,137,127,126,134,131,88,68,76,54,133,216,203,206,202,199,198,200,203,192,133,92,81,167,170,175,169,152,131,124,121,124,135,123,80,70,64,88,199,208,205,203,207,209,203,184,145,102,73,68,74,168,170,166,150,132,122,119,114,112,115,89,70,56,78,197,213,208,209,212,191,159,124,91,72,69,74,65,70,167,159,142,133,131,126,125,113,96,94,88,76,58,96,224,201,196,195,165,105,79,70,73,74,74,75,63,63,149,138,135,132,124,115,103,90,85,98,102,77,60,129,151,98,94,91,78,74,85,71,65,71,72,74,61,57,140,138,133,116,101,95,90,90,95,102,86,70,84,96,62,62,70,60,73,64,68,73,52,62,70,72,60,56,138,132,119,106,102,100,95,90,87,79,76,88,86,81,73,53,70,59,63,59,61,63,48,56,67,70,55,58,124,110,103,104,101,97,86,79,82,84,86,80,73,67,69,51,57,60,53,56,59,55,45,52,66,66,51,58,89,77,82,86,88,87,93,97,81,83,75,70,63,67,62,56,45,58,49,52,57,48,46,52,65,63,49,59,70,104,117,115,113,117,118,99,72,63,70,69,58,62,57,58,40,49,50,50,57,46,47,55,63,61,46,62
23,157,158,158,159,160,160,160,161,160,161,161,161,161,161,161,161,161,161,160,161,160,159,158,158,157,156,155,153,160,161,161,162,162,163,163,164,164,164,164,164,164,163,163,163,164,164,163,163,162,161,160,160,159,158,157,156,164,164,165,166,166,167,167,168,168,168,168,167,167,167,165,164,166,167,166,166,165,165,163,163,162,161,160,159,167,168,168,170,169,170,171,172,171,173,177,172,171,173,167,152,156,169,170,169,169,168,166,166,165,164,163,162,171,171,172,173,173,173,174,175,174,182,193,178,166,171,163,144,134,154,169,172,172,171,170,169,168,167,166,165,174,175,175,176,176,176,177,178,180,192,191,164,130,136,137,140,134,132,149,172,175,174,173,172,172,171,169,168,177,177,178,179,179,180,180,181,186,196,185,151,123,148,154,150,135,123,137,172,178,177,177,176,175,174,173,172,180,180,181,181,182,183,183,184,190,192,184,156,154,171,156,165,167,161,169,181,181,180,179,179,178,177,176,175,182,183,183,184,185,184,184,184,190,190,190,187,187,171,131,146,182,185,185,185,184,183,182,181,180,180,179,178,185,186,186,187,186,179,171,173,179,183,185,184,179,160,116,109,152,181,188,187,187,186,185,184,182,181,181,180,187,188,188,189,185,171,157,159,165,167,164,161,153,133,100,71,92,157,189,190,189,188,187,187,186,185,183,182,189,190,190,189,189,183,176,170,168,159,150,145,128,96,77,58,69,145,191,192,192,191,190,189,189,187,186,185,191,191,192,190,188,189,189,178,154,126,114,120,114,81,69,58,81,163,194,194,194,193,192,192,191,189,188,187,193,194,194,191,182,184,192,174,127,90,72,101,115,81,69,62,104,183,197,197,196,195,194,194,193,192,190,189,195,195,197,193,181,180,194,171,113,69,61,105,115,81,65,57,114,190,199,199,198,197,196,196,195,194,192,191,196,197,198,195,181,179,197,177,123,74,65,90,83,67,56,56,108,188,201,200,199,199,199,198,197,196,195,194,199,199,200,196,180,182,202,181,130,84,54,48,46,48,52,62,107,188,202,201,201,201,200,199,198,198,197,196,200,200,201,195,178,188,205,183,135,96,60,42,48,54,61,70,118,193,204,202,202,202,201,200,200,199,199,198,201,202,203,196,179,188,200,181,138,104,79,63,69,72,72,77,130,198,205,204,204,203,202,201,201,201,200,200,204,205,206,200,181,182,187,170,134,109,91,75,78,80,78,83,147,204,207,206,206,205,204,203,202,202,201,200,205,206,207,203,184,176,175,160,137,122,99,79,80,81,80,96,172,209,208,207,208,207,206,206,204,203,202,201,206,207,208,206,188,179,173,158,139,123,98,82,82,84,84,126,196,211,210,209,209,209,208,207,206,205,203,202,207,208,209,207,193,187,175,157,135,113,92,82,83,87,108,173,210,212,211,211,210,209,208,207,207,206,205,204,208,208,209,206,197,195,179,161,140,111,88,80,81,104,165,207,215,213,213,213,212,211,210,209,208,207,206,205,208,209,211,206,198,194,178,162,140,105,82,76,86,149,206,216,216,214,214,214,213,213,212,210,209,208,207,206,209,211,212,206,195,182,167,153,130,92,75,75,103,185,216,217,216,215,215,215,214,214,213,212,211,210,208,207,211,212,212,205,194,173,158,152,134,91,76,79,124,202,218,218,217,216,216,216,215,215,214,213,212,211,209,208,211,212,211,205,198,173,157,160,149,97,79,82,135,210,219,219,218,217,217,217,216,216,215,214,213,213,209,205
4,189,189,189,190,191,192,191,190,192,191,191,193,193,193,193,193,193,193,193,192,194,192,190,190,191,189,189,188,191,191,191,192,192,193,193,193,193,194,193,194,193,193,194,193,194,194,194,194,193,193,193,193,192,192,190,189,192,193,193,193,193,194,194,194,194,194,193,194,193,193,195,194,195,195,196,196,195,194,194,193,193,193,192,190,193,195,195,194,195,195,194,195,195,195,195,196,197,184,174,187,193,177,172,190,197,196,195,195,194,194,194,192,194,195,196,195,196,196,196,195,195,196,189,195,217,200,164,155,199,177,143,141,185,183,191,197,196,196,195,194,195,195,196,197,196,197,199,198,198,208,202,180,183,221,183,144,205,196,151,111,162,144,135,188,198,196,196,195,196,196,196,197,199,199,199,198,204,219,217,187,148,204,191,135,198,202,156,138,189,156,103,135,199,197,197,197,197,199,199,199,200,200,201,199,211,202,212,188,140,181,190,122,177,200,146,144,197,160,106,114,199,200,199,198,198,200,200,201,201,201,201,204,216,180,197,189,129,161,195,137,150,180,133,155,206,177,112,124,202,201,201,199,198,200,200,201,202,202,200,211,203,153,161,189,135,141,194,179,169,171,174,197,214,180,125,138,204,202,202,200,199,200,200,201,203,202,204,216,204,174,152,167,128,112,144,174,177,181,194,199,195,168,144,119,193,204,203,202,200,200,200,201,203,203,212,213,195,174,147,126,97,97,114,116,148,158,167,177,167,156,161,110,161,207,204,203,200,201,201,202,203,204,215,203,174,148,135,116,95,102,118,96,125,132,133,141,139,169,171,123,124,204,204,204,200,201,202,203,204,205,219,206,173,137,114,105,100,113,120,121,151,150,126,106,156,202,186,147,106,180,207,204,200,202,202,203,204,206,226,219,187,147,113,95,100,119,118,152,174,169,146,158,177,204,200,172,114,138,209,205,200,201,202,203,204,208,226,224,195,152,113,99,101,123,139,176,173,181,189,203,205,197,202,169,120,111,203,207,199,200,202,202,202,209,227,226,204,153,115,112,106,115,147,171,181,201,207,204,203,188,174,150,120,102,192,207,199,200,202,202,202,210,228,224,208,157,127,132,121,131,160,178,199,207,205,197,190,176,148,127,110,117,197,207,200,201,201,202,203,212,225,221,200,165,154,142,132,170,194,206,213,209,200,187,174,156,131,106,103,171,207,207,200,201,201,202,203,211,224,221,206,183,168,149,135,187,211,214,218,207,190,175,161,140,115,94,146,204,208,208,201,202,202,203,203,206,225,221,216,196,173,164,143,181,213,215,213,196,174,162,149,126,101,118,196,209,210,208,202,202,202,203,204,199,219,222,222,204,183,170,156,179,212,210,201,184,163,149,132,111,99,174,211,210,209,208,202,203,204,204,205,197,211,219,211,196,184,170,161,176,201,198,186,171,150,136,118,97,133,207,211,211,210,209,176,179,183,184,187,183,205,220,203,187,185,175,164,173,186,184,170,153,137,127,108,101,185,213,213,212,211,210,111,112,113,114,117,115,187,218,200,192,192,181,167,172,181,179,164,139,124,116,97,117,171,177,180,182,182,182,102,101,101,102,102,97,179,219,203,198,194,184,169,173,184,182,160,125,112,102,94,100,106,106,106,111,137,151,103,102,104,104,105,99,180,223,205,200,198,192,171,169,183,177,144,111,101,92,99,103,102,109,142,168,198,214,102,102,104,105,106,98,177,226,207,201,205,204,173,159,178,165,127,103,94,96,113,118,141,178,218,208,179,196
6,211,214,216,218,220,220,221,222,222,222,221,221,220,218,218,218,215,214,213,211,210,209,206,204,203,201,199,197,212,214,218,220,221,222,222,223,224,224,222,221,220,220,220,219,219,216,213,213,213,212,209,206,205,203,201,199,214,218,221,221,222,223,225,226,226,226,224,224,224,222,220,219,220,218,217,215,213,213,211,209,206,204,202,201,215,219,222,223,223,225,226,227,227,227,227,225,224,224,222,221,220,220,219,218,216,213,212,210,208,206,204,203,217,221,223,223,225,227,227,227,228,228,228,226,226,225,225,223,222,221,219,219,217,214,213,211,208,207,205,204,216,221,224,225,227,228,228,229,229,229,229,229,229,227,225,225,223,221,219,220,218,216,215,215,211,208,208,205,218,221,224,226,228,228,228,228,229,229,228,228,229,228,227,228,228,228,226,222,222,222,219,213,208,204,203,204,219,222,225,227,229,228,228,229,229,230,234,234,235,233,229,222,213,198,184,169,155,165,167,157,143,162,188,171,219,224,226,227,228,230,232,235,234,230,217,202,189,185,178,172,164,156,146,137,126,141,139,143,140,142,157,137,220,223,228,231,232,227,214,201,194,183,166,156,149,153,157,166,164,157,135,127,118,114,115,120,117,117,139,177,224,227,224,214,201,177,164,163,160,157,154,139,119,123,128,117,115,116,122,133,148,166,178,188,193,203,214,215,204,187,176,174,173,167,165,165,163,162,160,149,108,87,78,130,175,194,214,225,233,232,229,226,224,218,213,210,181,173,176,181,179,175,173,175,174,174,170,155,112,95,89,184,234,246,239,229,225,222,221,221,219,216,214,213,184,181,178,176,173,170,167,163,165,169,156,125,96,99,108,96,107,150,209,236,227,226,224,222,220,217,214,214,187,182,178,174,171,165,160,155,151,148,135,109,96,103,110,111,106,90,91,175,235,226,225,222,220,218,217,215,183,178,174,170,167,160,156,153,150,157,154,122,88,81,97,115,118,115,98,106,233,227,227,225,221,219,218,214,177,171,167,161,157,153,152,146,150,162,165,127,92,85,79,75,87,106,85,145,239,227,226,225,222,220,218,216,172,168,157,150,151,147,145,135,137,146,130,105,98,102,103,89,70,91,166,229,233,230,228,226,224,221,219,217,159,158,152,144,140,138,133,124,120,126,109,86,89,101,104,102,89,110,240,235,231,229,227,226,225,222,219,218,148,155,150,142,136,133,131,127,131,134,116,80,69,84,98,106,93,82,218,236,229,229,227,226,226,224,219,218,134,149,151,148,139,129,125,130,140,134,110,92,95,93,81,84,98,165,240,233,233,231,229,227,225,223,219,218,99,113,127,137,134,125,121,120,117,103,91,88,90,94,72,124,230,242,236,235,233,231,229,228,226,223,220,220,34,114,168,132,111,116,121,128,129,144,166,163,127,102,121,216,247,234,237,235,233,232,229,227,227,226,223,219,25,190,251,230,217,224,231,237,241,248,251,251,245,231,245,242,235,237,236,234,232,230,229,227,226,224,222,218,77,228,229,232,238,238,238,239,240,238,237,238,239,242,238,235,236,235,235,233,231,228,227,225,223,222,219,217,177,235,228,231,233,235,235,238,240,241,240,241,240,239,238,236,236,235,234,233,231,228,226,225,223,221,220,218,229,226,230,232,234,235,237,239,240,240,240,240,240,240,239,237,236,234,233,233,231,229,227,226,223,220,219,218,220,227,230,232,233,236,237,238,239,239,240,240,240,240,240,238,235,234,233,232,230,228,226,223,223,220,218,217
17,129,129,132,133,135,138,140,140,142,142,144,146,146,147,148,150,150,152,154,152,153,154,155,154,155,155,155,156,127,129,132,133,135,140,141,141,142,144,146,147,147,147,149,151,153,154,156,157,156,159,157,155,157,156,156,157,128,130,132,136,139,140,141,142,143,145,145,149,150,150,150,152,154,155,147,140,152,126,151,158,158,157,157,158,130,131,133,137,140,141,143,144,145,146,147,149,149,152,152,155,153,158,151,103,97,80,114,167,158,158,158,158,130,132,135,138,140,143,144,145,147,148,151,152,152,152,155,156,154,159,174,126,69,57,118,168,158,160,160,159,131,133,136,139,141,143,146,146,148,150,150,151,153,153,155,157,157,157,178,138,86,42,134,167,158,161,161,160,132,134,137,139,141,144,146,147,148,149,150,154,153,157,159,157,160,157,179,154,105,54,152,164,161,161,160,160,132,136,138,140,141,143,146,148,150,151,151,153,157,137,141,165,159,158,183,156,110,82,167,163,164,162,163,161,133,138,139,140,142,145,147,149,151,152,152,152,159,141,95,130,167,165,183,149,108,93,169,163,164,163,164,163,133,137,140,141,143,145,147,150,150,149,149,153,167,148,124,101,133,160,180,150,105,88,167,164,164,164,164,164,135,138,141,141,143,147,149,147,156,160,127,105,152,168,164,159,112,78,139,145,112,90,166,165,166,166,165,163,135,138,139,143,147,148,150,148,170,173,123,91,141,150,177,171,144,80,79,121,103,86,165,165,165,165,165,164,134,139,141,145,146,148,149,156,160,141,155,119,126,100,125,186,165,112,61,90,89,80,165,167,166,166,164,165,137,140,141,144,146,148,148,160,172,118,114,104,67,52,59,189,180,137,71,66,72,71,164,168,168,167,166,166,137,140,142,145,147,149,148,167,155,110,93,106,74,73,71,172,193,153,91,61,70,65,159,171,167,167,167,167,138,140,143,146,148,150,147,171,164,143,125,114,91,112,98,152,203,154,110,64,68,65,151,172,166,169,168,168,139,141,145,146,148,149,151,180,154,126,120,110,104,129,132,173,181,157,122,70,60,62,153,172,168,169,169,169,138,141,145,147,149,150,160,176,136,117,111,110,122,125,187,197,155,144,121,68,54,55,155,174,169,169,169,170,138,141,143,147,152,149,167,179,142,126,112,115,122,159,206,189,157,132,111,69,50,56,160,172,171,170,169,169,139,141,145,148,152,148,174,183,147,133,111,118,131,193,190,179,153,126,104,66,49,70,174,169,171,170,169,169,139,142,146,148,152,146,181,180,152,143,120,121,157,205,185,175,145,112,99,64,45,103,181,168,169,170,170,170,139,142,147,151,153,146,189,180,157,151,136,122,171,200,175,172,147,103,88,62,50,149,175,169,171,170,169,169,139,143,147,150,155,148,192,187,162,162,150,129,170,190,168,163,145,103,81,52,78,178,169,171,171,170,170,170,140,145,148,150,153,148,185,193,167,167,154,142,154,184,163,162,135,100,74,47,128,180,169,171,170,170,171,171,139,144,149,151,154,149,174,197,172,160,149,151,149,172,156,166,141,93,71,50,153,177,170,172,171,171,171,171,141,145,148,149,154,152,167,194,168,158,144,148,153,161,150,168,145,94,67,60,168,174,173,173,173,172,172,172,142,145,147,150,154,152,169,188,165,157,144,144,152,159,147,166,133,93,64,92,181,171,173,173,173,172,172,172,140,144,147,150,155,151,173,190,176,159,149,152,157,157,142,161,117,85,59,137,180,171,173,173,173,172,172,172
4,185,187,189,190,189,192,193,193,195,195,195,196,196,196,196,197,197,196,195,194,194,195,195,195,195,195,192,191,185,188,190,190,191,195,196,196,197,196,197,197,197,198,198,197,197,197,195,197,196,195,196,196,196,196,196,194,187,189,192,192,191,196,197,197,198,198,197,198,199,200,199,196,197,200,198,197,198,198,198,198,199,198,197,197,190,190,194,196,195,198,199,198,199,199,200,197,195,197,197,205,203,201,199,203,202,202,200,201,201,201,199,198,191,193,195,196,197,198,199,199,201,199,197,204,233,237,207,204,246,230,174,180,202,199,208,204,204,203,200,198,193,195,196,197,198,199,200,203,199,209,228,228,203,242,218,135,184,218,161,108,198,189,170,207,204,203,201,201,196,197,198,198,198,201,204,199,214,252,253,210,123,173,196,118,125,188,121,124,242,188,104,179,211,203,204,203,197,198,200,203,203,203,205,198,239,249,248,208,117,144,211,109,80,200,136,201,242,175,93,177,215,206,208,206,198,200,201,205,205,203,207,199,243,233,214,230,172,107,211,122,106,206,219,250,229,211,117,184,217,208,209,206,200,202,203,206,206,205,208,200,245,233,198,197,149,50,135,225,211,214,227,211,215,236,174,164,219,207,208,209,201,204,205,207,208,206,207,210,252,245,210,168,121,76,64,179,177,183,194,164,227,251,225,149,201,216,210,212,202,204,206,209,210,210,205,221,253,235,184,150,137,116,103,106,107,137,134,109,245,253,243,179,154,223,211,211,205,206,207,210,209,215,208,228,253,237,191,145,116,110,120,127,104,139,107,148,248,250,238,196,128,206,216,213,207,208,209,211,212,214,208,236,253,240,196,149,124,114,126,139,148,181,194,252,249,237,211,174,122,177,225,215,207,208,210,213,215,215,209,241,253,241,208,167,131,119,132,159,165,203,249,251,245,229,191,149,115,179,225,214,209,212,213,215,215,218,211,241,253,243,220,187,139,120,131,159,195,242,253,251,241,218,176,134,114,204,221,215,209,213,215,215,216,218,212,241,253,246,231,195,159,138,137,173,236,253,252,250,231,200,160,118,131,225,218,219,210,213,214,215,217,219,212,240,253,251,238,205,189,156,164,197,246,252,252,243,217,180,143,105,164,233,218,220,213,213,215,216,218,221,214,235,253,252,245,215,204,187,176,201,233,253,245,225,198,162,124,102,202,230,220,222,213,215,216,217,217,219,220,231,253,252,251,228,213,200,177,178,221,253,224,207,183,142,110,122,229,224,224,222,214,216,217,221,225,226,222,221,250,251,246,230,214,191,181,176,203,239,202,181,165,129,92,170,237,223,224,223,217,217,221,206,183,164,144,130,131,130,114,102,96,100,108,120,151,183,181,172,151,115,95,220,232,227,227,225,216,223,169,141,127,121,114,109,97,83,71,56,46,42,24,19,37,46,62,91,121,87,141,238,227,228,226,224,217,224,146,126,130,123,117,112,96,86,70,58,54,45,27,27,34,28,15,9,23,49,213,237,228,228,227,226,217,230,169,118,124,118,114,108,86,74,65,54,51,39,30,29,36,25,16,16,13,0,95,242,228,229,230,229,219,231,189,122,124,114,114,100,86,70,63,53,48,38,30,30,32,21,12,10,11,15,0,176,245,228,233,232,221,229,202,128,120,118,115,101,82,72,61,51,44,39,29,29,26,19,10,8,10,7,15,210,239,231,232,231,221,229,209,124,118,123,106,94,79,70,57,48,40,37,31,28,24,16,9,6,16,0,123,253,228,233,233,233
1,135,139,141,143,147,152,154,154,155,156,158,159,160,162,162,162,163,163,168,165,166,166,166,166,164,164,165,166,139,142,145,147,150,154,156,158,159,160,161,161,163,161,166,166,173,169,146,170,169,167,167,166,165,165,166,167,143,146,148,150,154,157,160,162,163,164,166,165,166,178,150,156,190,173,109,169,173,172,169,169,169,168,168,169,147,150,152,155,158,160,163,166,167,168,169,168,172,197,128,143,194,158,111,171,155,163,175,172,173,172,171,172,150,153,155,159,162,164,167,169,170,171,172,171,183,193,120,152,195,146,116,181,149,126,181,175,175,175,174,173,153,156,160,163,166,168,172,173,174,174,181,163,172,187,119,158,196,138,123,193,151,116,182,178,178,178,177,176,157,160,163,166,170,172,176,178,179,179,199,150,141,172,125,164,201,145,136,197,144,116,185,182,181,181,180,179,160,164,166,169,174,177,180,182,183,185,205,136,140,161,134,163,192,140,139,201,145,118,188,186,184,184,183,182,163,167,169,173,177,179,183,185,186,190,195,126,144,146,125,146,186,132,149,206,149,123,193,189,188,187,186,185,166,169,173,176,180,183,184,189,189,193,200,135,146,152,126,147,200,137,163,200,145,129,198,193,192,190,189,188,168,172,175,178,184,186,188,193,191,197,199,133,138,167,136,147,201,136,173,205,145,134,201,195,195,194,194,193,171,175,178,182,186,188,191,194,193,203,208,148,130,157,123,139,179,123,185,206,149,144,206,196,197,198,197,196,174,178,180,184,189,191,193,197,196,204,216,151,119,142,123,145,161,142,192,192,141,154,209,199,201,200,198,198,177,180,183,186,192,194,196,199,198,206,213,156,146,179,168,178,182,171,160,182,135,163,211,201,204,203,201,201,178,181,185,189,193,195,199,202,200,212,221,182,155,155,192,205,213,179,125,152,124,170,213,205,206,205,204,203,180,183,187,191,194,197,200,204,202,220,211,167,143,114,137,163,180,199,160,106,103,186,214,207,207,207,206,204,182,185,189,194,196,198,202,206,204,225,206,164,132,122,126,138,179,221,198,129,97,202,214,210,209,208,208,207,183,187,191,195,198,201,204,208,206,228,212,164,138,141,145,177,194,215,219,161,107,200,218,212,212,210,210,211,186,189,192,196,199,204,207,208,210,229,208,162,137,147,152,206,216,200,200,165,111,180,223,213,214,212,212,212,188,191,194,198,202,205,207,209,212,228,208,170,145,157,170,226,223,198,167,140,104,180,224,214,215,214,214,212,189,192,196,200,204,206,209,211,212,225,210,173,158,152,184,233,219,184,155,121,102,196,223,216,217,216,216,215,190,195,197,200,205,207,210,213,213,221,207,173,163,151,183,230,206,171,145,110,127,223,218,219,219,217,217,218,191,195,198,202,205,207,211,215,215,217,206,181,174,155,175,219,190,160,131,100,166,231,218,220,220,219,219,219,193,195,200,203,206,210,212,214,215,214,203,184,180,159,172,212,180,150,120,104,200,227,221,222,221,221,220,220,194,197,201,204,208,210,213,215,217,218,209,186,180,151,165,199,168,141,109,122,225,223,223,223,223,223,223,222,194,197,202,206,209,210,213,217,215,219,213,188,174,140,157,174,146,132,100,160,234,224,225,224,224,223,224,223,192,196,201,204,208,210,212,216,211,223,216,204,173,144,159,160,139,119,116,214,227,226,226,224,225,225,223,223,193,197,200,204,208,213,214,213,211,224,217,206,179,154,160,150,134,102,174,232,224,226,226,224,225,225,223,223
4,180,182,184,185,185,187,188,189,191,191,191,191,192,192,191,193,192,192,190,189,190,191,191,191,191,190,188,187,181,183,185,186,187,190,191,191,192,192,193,193,193,193,193,193,193,192,191,192,191,190,191,192,192,192,191,190,183,185,187,187,187,192,193,193,194,194,193,193,194,196,194,192,193,196,194,193,194,194,194,194,194,193,193,193,186,186,189,191,191,194,194,194,195,195,195,193,191,193,193,200,198,196,195,198,197,198,196,197,197,196,195,193,187,189,191,191,193,194,195,195,196,194,192,200,230,233,203,199,242,226,169,176,198,195,204,200,200,199,196,194,189,191,192,192,193,195,196,198,194,205,224,224,199,238,214,130,180,214,156,102,194,185,165,202,199,199,197,197,192,192,193,194,194,197,199,195,210,249,250,206,117,168,192,112,120,184,115,119,238,183,98,174,206,199,200,199,193,194,196,199,199,199,201,194,236,245,245,204,112,139,207,103,73,196,131,196,238,170,87,173,211,202,204,202,193,195,197,201,201,199,203,195,240,229,210,226,167,102,207,117,101,202,215,247,225,207,111,179,213,204,205,202,195,198,199,202,202,201,204,196,241,229,194,192,144,44,130,221,207,210,223,207,211,232,169,159,215,203,204,205,196,199,201,203,204,202,203,206,248,241,206,163,115,70,58,174,173,178,190,159,223,247,221,144,197,212,206,208,197,200,202,205,206,206,201,217,250,231,179,145,132,111,97,100,101,131,128,103,242,250,239,175,149,219,206,207,200,202,203,206,205,211,204,224,250,233,186,140,110,104,114,121,98,134,101,143,245,246,234,192,122,202,212,209,202,203,205,207,208,210,204,232,250,237,192,144,119,109,120,134,143,176,189,249,245,233,207,170,116,172,222,211,203,203,206,209,211,211,205,237,250,238,204,162,126,114,127,154,161,199,245,248,242,225,186,144,109,174,221,210,205,207,209,211,210,214,207,237,250,239,217,182,133,115,125,154,191,238,250,247,238,214,171,129,108,200,217,211,205,209,211,211,212,214,208,237,250,243,227,190,154,133,132,168,232,250,249,247,227,196,155,112,125,221,214,215,206,209,210,211,213,215,208,237,250,248,235,201,184,151,159,192,243,249,249,239,213,176,137,99,159,229,214,216,209,209,211,212,214,217,210,232,250,249,241,211,199,183,172,197,229,250,241,222,193,157,119,96,198,226,216,218,209,211,212,213,213,215,216,227,250,249,248,224,209,195,173,173,217,249,220,203,179,137,104,117,225,220,220,218,210,212,213,217,221,222,218,217,247,247,242,226,210,187,177,171,199,235,198,177,160,124,86,166,233,219,220,219,213,213,217,201,178,159,139,125,126,125,108,96,90,94,103,114,145,179,177,168,146,109,89,216,228,223,223,222,212,219,164,136,122,115,108,103,91,77,64,49,39,36,17,12,30,39,55,85,116,81,136,235,223,224,222,221,213,220,141,120,125,118,111,107,90,80,64,51,48,39,20,20,27,21,8,1,16,42,209,233,224,224,223,222,213,226,165,113,118,113,108,102,80,68,59,47,44,32,23,22,29,17,9,9,6,0,89,239,224,225,226,226,215,227,185,116,118,108,109,94,80,64,57,46,41,31,23,23,25,14,5,2,4,7,0,171,241,224,229,228,217,226,197,123,114,112,109,95,76,66,54,44,37,32,22,22,19,11,2,0,3,0,7,206,235,227,228,228,217,225,205,119,112,118,100,88,73,64,51,41,33,30,24,21,17,9,1,0,8,0,117,250,225,229,229,229
14,156,158,158,159,160,160,161,161,161,161,161,160,160,161,162,161,162,162,162,161,161,161,160,161,160,159,158,159,158,159,159,160,161,162,161,162,164,162,162,162,169,161,158,164,164,161,163,162,162,163,163,162,162,161,160,160,159,160,161,161,161,164,165,166,164,163,173,175,168,127,126,173,164,165,165,164,164,164,164,164,164,162,161,161,160,161,162,163,163,164,165,163,164,187,179,149,121,106,97,142,161,160,165,165,165,165,165,163,163,164,163,162,161,162,163,165,165,165,162,169,194,189,134,99,97,92,101,128,150,121,129,169,165,166,166,166,164,164,164,164,162,163,165,165,165,163,170,203,189,152,109,89,101,86,93,116,128,99,134,173,166,168,168,167,166,166,166,165,164,165,166,166,166,162,195,203,152,106,88,89,93,82,86,90,105,95,140,171,170,169,170,169,169,168,166,166,165,166,166,167,168,165,203,199,133,82,71,74,84,99,108,91,116,141,135,124,155,173,169,171,170,169,167,167,166,166,167,169,167,175,207,189,131,90,79,81,76,87,92,77,87,123,129,96,154,176,170,172,171,169,169,168,166,166,168,170,167,184,207,172,111,83,87,96,74,82,89,96,97,102,95,92,154,170,174,172,171,171,170,170,169,169,170,172,166,193,207,177,124,85,87,97,84,92,103,111,103,92,112,118,120,113,166,176,172,173,172,171,170,170,172,173,169,202,207,186,142,105,87,83,94,98,78,89,96,124,125,116,112,124,136,170,176,174,173,172,170,172,173,171,178,207,206,184,140,111,94,80,103,96,117,153,168,182,175,162,141,160,127,165,179,175,175,174,171,171,173,171,184,207,207,185,139,108,97,86,96,87,165,186,177,175,179,170,148,157,126,171,178,175,175,174,171,172,176,172,187,207,207,190,150,114,93,92,83,116,184,175,178,177,182,158,144,153,123,175,178,176,176,175,172,173,176,173,189,207,207,193,156,122,93,87,88,171,182,179,179,178,184,155,144,155,115,163,182,177,177,177,172,175,178,173,190,207,207,195,159,125,98,77,109,187,177,181,181,179,187,146,131,149,119,137,186,177,179,178,174,176,179,174,192,207,207,195,163,129,105,72,142,195,180,184,180,185,164,138,146,145,122,129,187,178,180,180,176,178,178,174,193,207,207,197,165,129,111,77,111,165,176,175,186,172,126,142,151,140,113,161,185,180,180,180,176,177,179,176,195,207,207,197,163,132,117,93,75,89,104,109,132,127,127,142,144,124,141,189,181,181,181,180,178,178,181,177,200,207,207,196,162,143,129,102,85,94,98,112,119,120,127,139,129,123,181,185,182,183,183,181,178,179,181,178,203,207,207,195,166,156,137,113,89,102,113,121,126,129,122,126,114,165,190,183,185,183,183,182,179,182,182,179,203,207,207,197,176,163,138,116,99,105,118,122,125,126,123,104,138,192,184,186,185,184,185,184,180,182,182,183,205,207,207,200,186,165,139,118,106,102,118,121,121,124,115,115,183,187,186,187,185,185,186,186,181,183,183,185,207,207,207,203,190,165,136,114,106,102,114,119,117,117,113,177,190,186,187,187,187,186,185,186,181,182,182,187,207,206,207,203,186,154,117,102,100,101,114,113,120,103,156,195,186,188,188,188,187,187,186,186,184,187,186,199,207,207,207,196,171,128,91,92,92,99,106,112,109,128,193,188,189,189,190,188,188,188,187,187,172,160,144,148,146,131,127,111,98,83,70,68,77,93,100,101,118,184,191,190,191,190,191,191,188,189,188,188
24,193,194,194,194,194,195,194,194,194,194,194,193,193,192,190,189,188,187,186,185,183,182,182,180,178,176,175,173,196,196,196,197,197,197,196,196,196,196,196,196,195,194,193,193,191,189,188,191,188,185,185,183,182,180,177,175,199,199,200,201,200,200,199,198,199,199,200,199,198,196,196,195,194,193,190,163,183,190,187,186,184,182,180,177,201,201,202,201,202,201,201,202,201,201,202,201,200,199,198,197,197,195,197,135,149,198,187,188,186,184,182,180,203,204,203,203,204,206,207,202,202,203,202,202,201,201,200,200,198,198,203,136,143,199,190,190,188,187,185,183,207,207,206,207,209,185,188,210,205,206,206,205,204,203,202,202,200,202,203,133,147,203,193,193,192,190,188,187,208,208,208,209,208,166,130,205,210,209,209,208,208,206,205,205,201,209,200,127,160,205,194,195,193,191,189,189,209,210,209,209,208,176,122,168,219,209,211,211,209,208,208,207,202,215,196,127,174,206,196,196,195,193,191,190,212,212,211,211,215,194,140,137,221,210,212,213,210,209,209,208,211,214,177,120,189,205,200,198,197,196,193,191,214,214,214,213,216,206,158,116,209,215,212,213,216,214,211,204,207,218,158,116,205,203,202,202,199,198,196,194,214,215,215,214,215,213,183,118,177,224,214,215,194,194,214,185,136,167,153,138,215,204,205,203,200,199,198,195,216,216,217,216,216,217,195,135,135,226,216,201,177,158,170,165,133,115,123,164,217,206,207,205,202,201,200,197,218,219,219,219,218,222,199,156,114,207,216,196,192,168,159,149,171,142,87,187,216,208,208,207,204,204,202,199,220,220,220,220,220,222,209,186,133,164,201,192,200,166,169,168,175,138,96,206,213,210,209,208,206,204,203,201,221,222,222,221,220,221,217,203,147,127,160,169,215,170,136,139,162,157,102,191,220,213,211,209,208,206,204,202,222,222,223,222,223,224,224,206,176,161,146,146,197,175,107,85,180,175,113,144,227,211,213,210,210,209,205,203,224,224,224,224,224,225,225,210,213,173,130,109,177,156,104,80,161,193,154,101,198,218,213,212,212,210,207,205,226,226,226,226,226,225,227,215,207,153,129,112,171,145,96,114,206,207,180,102,153,226,211,213,212,210,207,207,226,227,227,228,228,228,229,221,205,181,173,129,167,166,114,185,217,199,162,98,159,226,212,213,212,211,208,208,227,228,229,229,229,230,231,225,208,205,181,137,152,143,166,228,204,184,149,87,183,225,214,215,214,211,210,208,228,228,229,229,229,228,231,226,201,214,191,165,130,147,219,224,200,173,141,95,203,223,216,216,214,214,212,209,228,228,227,228,229,230,231,228,205,201,193,179,139,156,220,212,193,168,128,102,215,220,216,215,214,213,211,209,229,229,229,230,230,231,230,232,205,193,191,189,157,146,212,212,184,156,111,113,225,217,217,215,214,211,209,207,230,230,231,231,231,232,231,235,211,195,195,191,180,143,199,209,176,141,91,146,232,217,218,216,215,211,212,215,229,230,231,230,230,231,231,233,224,201,199,191,191,133,170,190,148,117,76,186,228,217,218,215,216,223,204,169,235,236,238,237,238,240,239,240,237,205,204,192,177,141,141,162,133,97,93,221,224,221,223,226,214,179,114,79,170,174,178,183,186,189,193,196,199,210,202,183,170,160,133,155,138,81,149,229,217,217,203,161,115,80,74,74,127,128,129,129,127,127,127,122,136,212,207,194,190,169,147,156,125,87,124,138,134,124,102,77,76,80,73,72
20,147,150,154,156,158,160,162,163,163,165,166,165,163,164,164,161,164,151,160,161,159,158,157,156,154,154,153,152,148,152,156,158,160,162,164,165,166,167,167,168,166,166,165,167,177,118,129,165,161,159,159,157,157,157,155,154,149,153,156,159,161,164,165,166,167,168,169,168,167,167,165,174,178,113,99,143,126,161,159,159,159,158,156,155,152,155,157,160,162,166,166,168,169,170,170,169,169,169,166,177,172,107,103,153,90,150,165,161,160,159,158,157,153,156,159,162,165,166,168,171,172,170,172,172,171,170,166,187,178,110,107,154,93,141,168,162,162,160,159,159,154,158,160,162,165,168,169,172,172,171,172,173,172,173,169,195,172,109,116,155,100,141,170,163,163,162,161,159,155,159,161,164,167,169,171,172,172,173,174,174,174,172,175,188,151,98,141,166,106,135,173,164,165,164,162,161,157,161,164,166,168,170,171,174,173,174,175,175,178,176,185,185,143,84,147,158,101,135,174,166,166,165,164,161,158,162,165,167,169,172,173,175,175,176,177,176,159,146,193,186,137,84,155,152,92,141,175,167,167,167,165,163,159,163,166,168,171,173,174,175,178,179,177,185,155,95,173,167,98,105,176,148,94,149,177,169,168,167,166,165,161,164,167,169,172,174,175,177,179,179,185,196,166,125,129,99,63,123,164,134,89,160,176,170,169,169,167,166,162,165,167,171,173,175,178,178,180,178,154,171,183,155,111,88,74,119,131,106,89,174,173,172,172,171,169,168,163,166,169,173,175,177,179,179,191,187,130,131,188,145,135,129,122,127,100,84,114,184,173,174,173,172,170,168,164,167,172,173,176,178,179,185,205,196,150,135,163,155,151,139,148,136,83,67,146,183,174,174,174,172,171,170,166,169,173,174,178,180,178,196,193,199,150,127,177,164,136,134,136,119,95,62,153,184,176,176,174,173,173,172,167,169,173,176,178,180,180,209,187,176,163,108,149,140,76,79,136,128,112,68,149,187,177,177,176,174,174,172,168,171,174,178,180,180,187,204,170,163,164,90,66,69,50,49,132,160,124,83,100,187,178,178,177,176,174,173,169,172,175,178,181,182,186,212,199,181,151,126,87,50,86,150,160,168,139,99,66,157,185,178,178,177,175,174,169,173,176,179,181,182,189,214,205,178,145,160,103,77,169,196,179,152,134,101,73,146,188,178,179,178,177,173,170,174,178,180,182,183,190,214,207,171,142,130,90,135,199,178,158,147,108,100,75,167,185,180,180,179,177,175,171,175,179,180,183,184,190,212,202,171,167,120,136,205,188,157,135,146,104,79,88,188,181,181,181,180,178,176,172,175,180,182,185,186,189,209,201,179,172,127,170,203,175,157,141,138,119,61,122,195,183,183,183,180,179,177,172,176,179,183,185,186,189,201,197,181,172,132,162,184,164,153,132,121,103,62,169,190,184,184,183,181,180,177,173,177,180,183,184,189,192,200,196,183,166,134,132,154,145,130,112,107,67,114,197,185,186,185,184,182,180,178,172,175,179,181,191,171,83,156,192,179,138,110,112,123,139,121,100,72,71,185,190,187,186,185,184,183,181,179,171,174,177,185,179,90,54,67,139,152,120,114,121,124,143,114,85,59,156,195,185,186,186,185,183,181,180,178,172,175,181,184,98,57,69,60,66,118,134,128,123,124,131,102,61,128,200,187,188,187,186,185,183,181,180,178,172,174,187,117,63,72,58,63,58,64,101,111,114,112,102,78,79,189,192,189,188,187,186,185,184,183,181,180
14,135,136,136,138,139,138,139,139,140,139,138,138,137,136,135,135,134,133,133,132,131,129,128,127,126,125,124,123,136,137,138,138,140,140,141,141,141,140,140,140,139,139,137,135,134,134,134,133,132,130,129,129,128,125,124,123,137,138,139,140,141,141,142,141,142,142,143,143,142,134,137,143,140,135,135,135,133,131,130,129,129,128,126,125,139,140,141,141,142,142,143,143,143,143,135,123,120,97,87,105,121,140,139,137,135,134,132,130,130,129,127,126,139,141,142,143,144,143,144,145,145,134,112,96,75,56,48,63,73,97,118,134,138,135,134,132,131,131,128,127,141,142,142,144,145,145,146,145,141,124,92,61,49,50,48,56,71,77,80,85,139,136,134,134,132,131,130,128,142,143,144,145,146,146,144,138,126,102,56,35,39,42,39,41,46,63,58,58,138,139,136,135,133,132,130,129,142,143,144,146,147,148,141,126,109,69,44,37,33,37,39,42,39,49,52,50,82,136,137,136,135,133,131,130,142,143,145,147,148,149,139,124,86,43,46,42,40,39,39,34,37,38,55,61,53,134,139,136,135,134,132,130,143,145,147,148,148,149,144,128,93,43,41,38,41,44,37,98,101,108,70,46,49,112,146,138,136,135,134,132,145,147,147,149,149,149,144,126,94,46,38,35,43,36,70,157,151,154,138,85,61,63,97,127,138,134,135,133,145,147,148,149,149,150,144,129,87,47,48,42,34,54,142,149,146,146,148,144,86,78,68,97,143,134,135,134,146,147,148,149,151,151,146,133,96,63,52,48,37,116,158,148,149,148,150,110,82,84,65,108,144,136,136,135,147,147,149,149,151,150,145,136,106,72,53,45,41,135,154,151,149,152,137,83,82,76,62,134,142,137,137,136,148,149,151,152,152,147,144,139,108,78,58,40,53,155,154,150,150,152,95,71,79,63,84,148,140,140,138,137,148,150,151,152,153,146,143,136,110,82,56,42,45,118,149,156,157,122,78,67,72,44,112,148,140,140,138,137,148,150,152,152,153,146,144,136,110,82,58,47,45,50,67,113,127,76,80,77,52,74,146,143,142,142,140,138,149,150,152,153,153,144,147,140,108,85,63,47,50,56,58,61,62,65,75,63,66,144,146,144,142,141,140,139,150,152,153,154,153,142,150,138,106,83,65,46,48,55,62,67,63,62,71,56,134,151,145,144,142,141,139,139,150,152,152,154,151,142,150,134,102,83,69,47,48,56,60,65,68,62,46,107,157,146,146,145,143,142,140,139,150,152,153,156,150,143,146,130,102,88,70,48,49,59,65,67,66,52,68,151,149,148,147,145,144,143,142,140,151,152,153,157,148,145,141,121,101,87,69,48,49,62,67,67,60,49,142,153,149,149,148,146,145,143,142,141,151,152,153,157,148,142,133,117,96,83,68,48,49,63,65,63,41,89,162,150,151,149,147,146,146,144,142,141,151,153,154,156,147,139,131,116,93,80,65,48,50,60,62,50,49,147,154,151,151,149,147,147,146,144,143,141,152,153,154,155,149,135,126,111,91,74,61,48,49,57,55,35,121,161,151,152,151,151,149,147,146,144,143,142,152,153,154,154,148,132,126,109,88,70,58,46,48,41,37,112,163,153,155,154,152,150,149,148,147,145,144,142,151,154,154,153,147,131,122,109,88,68,52,42,39,61,129,162,156,156,155,154,152,150,149,148,147,146,145,143,150,153,151,153,140,124,118,108,87,62,48,33,84,161,161,153,154,154,153,153,151,149,149,147,146,145,143,142
0,172,173,175,174,174,176,177,177,177,178,176,177,177,176,176,175,177,181,177,177,177,177,177,177,175,175,176,176,174,175,176,176,175,176,177,177,178,179,178,177,178,179,179,184,165,148,175,182,176,182,179,179,179,177,178,178,175,177,176,177,177,177,177,178,179,180,179,180,173,151,168,198,152,122,117,144,135,146,181,161,152,181,178,181,175,177,177,177,179,179,178,179,179,180,183,202,174,140,121,180,158,148,102,80,125,111,130,151,103,186,178,180,177,177,178,179,180,180,181,180,181,161,181,211,171,156,121,181,171,154,114,92,142,123,99,145,101,180,183,181,178,177,179,180,181,182,177,189,200,143,127,199,182,165,121,177,192,160,118,103,156,123,83,130,96,167,187,182,177,178,180,181,182,182,178,204,199,160,131,174,203,166,120,164,201,164,113,107,162,117,69,120,96,120,195,179,179,179,180,182,183,179,195,190,193,173,144,139,209,164,115,146,206,158,106,85,142,109,60,111,115,70,176,186,179,180,181,183,181,187,196,165,199,183,148,114,198,165,114,113,194,144,95,64,115,98,56,113,125,64,151,194,181,181,183,183,181,196,180,142,185,186,150,101,177,163,110,85,162,132,94,62,96,85,56,128,134,73,149,194,181,182,183,182,183,197,182,153,166,171,137,87,143,150,106,65,135,127,95,60,99,81,79,156,147,80,152,196,179,180,181,180,190,188,166,135,134,158,127,81,117,145,102,49,113,129,84,58,116,80,122,172,146,81,156,195,179,179,181,178,191,203,177,143,104,149,124,71,106,144,103,44,112,140,85,127,156,108,125,171,147,84,167,193,178,181,183,180,189,206,182,150,101,102,129,83,97,155,113,51,105,147,146,170,159,137,105,141,144,83,172,191,180,182,183,180,193,208,189,162,130,89,111,107,94,160,131,120,162,170,168,157,145,127,112,96,108,73,171,193,181,182,183,180,193,209,195,170,146,131,120,125,144,156,170,187,186,179,164,154,136,114,106,89,80,68,168,193,181,182,184,181,192,206,199,179,161,152,141,132,146,167,179,184,186,183,166,150,132,109,95,86,75,71,181,192,179,182,184,182,190,201,200,187,175,164,149,142,141,160,175,182,180,176,163,143,130,107,90,82,67,133,197,189,180,183,185,181,181,200,199,199,186,171,152,145,144,160,177,185,176,168,158,141,124,103,87,67,120,194,188,189,171,173,177,178,172,195,201,205,187,172,156,145,145,162,182,182,173,163,154,138,117,97,73,93,192,192,192,192,99,100,104,109,100,177,201,198,184,173,160,147,141,163,178,171,158,149,141,126,106,91,68,142,183,178,183,182,84,86,86,88,69,146,200,181,177,176,166,151,138,159,173,161,144,129,117,108,96,83,82,95,100,98,95,107,91,91,92,94,78,132,196,170,176,178,167,151,138,154,170,155,133,107,96,90,80,85,91,83,80,95,139,178,90,88,88,92,81,123,195,164,177,177,163,153,141,150,165,149,116,87,81,76,90,92,91,105,149,195,204,191,90,88,88,92,83,119,205,176,178,173,158,151,142,139,148,138,99,79,75,82,89,104,165,201,215,202,192,179,87,88,89,91,81,113,208,186,183,171,156,152,148,130,140,131,90,76,74,81,126,197,219,214,209,201,207,198,90,89,89,92,83,111,197,190,187,169,157,154,148,124,135,127,86,69,68,144,205,208,211,211,195,195,206,210,91,89,90,92,82,111,189,189,185,163,153,153,151,121,127,121,85,54,118,210,191,208,205,196,192,196,203,208
0,170,168,169,169,170,169,169,167,169,169,169,169,169,168,168,168,167,166,166,165,163,162,162,162,161,159,159,159,173,172,172,171,172,172,172,172,171,171,171,171,171,170,169,169,168,167,167,166,166,164,164,165,163,161,160,159,174,174,174,174,174,174,174,174,173,172,172,172,172,171,171,171,170,168,168,167,167,165,166,165,163,161,160,160,174,175,175,175,174,174,174,174,174,174,174,174,173,172,173,172,171,171,170,167,168,168,166,166,166,164,163,162,175,175,175,175,175,174,174,175,175,175,176,176,175,174,174,177,173,172,175,174,169,168,168,168,167,166,165,165,177,177,177,176,175,176,175,175,176,176,176,176,174,176,170,156,171,178,157,153,175,147,143,174,167,167,166,166,177,177,177,177,176,176,176,176,176,176,176,179,181,173,137,101,99,142,118,91,112,151,92,167,170,168,168,165,178,178,178,178,178,178,179,179,180,182,179,158,135,147,134,107,64,71,123,94,60,149,92,131,182,166,169,166,179,179,180,179,179,178,178,178,161,160,168,139,89,69,130,115,91,79,124,100,62,128,123,69,159,176,167,169,179,180,181,180,180,180,177,166,128,85,149,135,99,58,122,123,103,77,131,103,55,101,136,81,77,158,173,168,180,180,181,180,180,181,167,160,135,90,134,142,110,70,116,129,94,74,136,106,49,63,141,112,65,92,184,167,181,181,182,181,183,178,155,153,146,109,119,150,109,73,96,131,91,60,112,92,42,66,146,121,58,101,185,168,183,183,182,182,183,173,143,135,146,117,104,143,104,71,80,130,90,32,54,54,27,112,152,114,47,148,179,170,184,184,181,182,182,168,160,122,129,113,75,126,110,80,49,77,55,8,35,36,75,147,146,88,70,180,172,174,185,185,183,184,179,162,142,94,102,76,35,95,103,73,20,18,32,73,114,98,129,148,128,59,115,186,172,174,185,186,185,187,176,160,150,115,85,51,27,42,62,31,15,48,113,149,146,135,115,134,105,39,156,182,174,175,185,186,185,188,174,163,161,138,101,82,67,69,78,82,104,136,154,148,140,135,100,99,69,51,183,177,176,175,186,187,186,188,172,163,168,143,117,98,88,98,125,149,157,161,162,150,135,124,84,68,31,124,189,177,177,175,186,186,186,189,173,157,168,147,124,95,97,105,149,162,163,166,160,139,123,109,74,25,89,188,178,179,178,177,185,186,185,187,178,148,161,149,130,107,103,121,163,166,163,166,149,126,108,93,39,64,186,181,179,180,180,178,185,186,186,186,186,151,157,155,136,126,114,134,161,166,164,153,130,115,96,62,39,169,184,179,179,179,179,177,186,186,186,186,191,159,146,157,148,135,115,137,158,158,155,138,114,99,78,29,137,189,176,180,179,178,178,176,186,187,187,185,188,174,142,153,147,131,114,130,150,143,135,117,95,80,30,101,193,178,181,180,179,178,177,176,187,186,187,187,188,186,148,149,139,124,114,123,141,131,117,98,76,31,72,188,182,183,181,180,180,180,179,178,186,186,186,187,188,183,155,150,132,118,114,118,135,124,100,84,37,65,184,184,183,184,183,181,181,180,180,179,186,185,186,186,188,176,154,147,139,136,131,122,128,119,89,55,39,178,188,183,184,184,183,181,181,180,179,178,190,189,189,189,192,157,153,155,150,146,135,125,124,107,73,29,109,199,181,186,185,184,185,183,182,182,178,176,154,158,161,164,167,144,156,163,154,144,135,126,110,84,62,32,153,189,185,186,186,185,183,183,182,181,179,177
3,159,161,163,165,169,171,173,173,173,174,174,174,174,173,172,170,185,183,111,152,168,166,165,163,161,159,157,156,161,164,166,167,171,172,174,176,177,177,176,175,176,176,174,172,188,171,100,128,173,168,165,165,163,161,159,157,162,166,168,170,173,175,176,178,179,179,179,178,178,177,176,174,188,163,101,118,175,169,167,167,165,162,160,158,164,167,170,171,175,177,179,180,181,181,181,180,179,179,178,177,187,165,101,114,176,171,170,168,166,164,163,160,166,169,172,174,176,179,181,182,183,183,183,182,182,181,180,178,191,188,119,108,175,172,171,170,167,166,164,161,169,171,173,177,179,181,183,185,186,186,186,185,184,183,181,179,197,192,118,100,174,173,172,171,168,166,165,164,170,173,176,179,182,184,186,187,187,187,188,187,186,185,184,180,201,183,110,98,177,176,174,172,170,167,166,166,171,175,179,181,185,186,188,189,191,190,190,190,188,188,186,182,203,182,112,100,180,178,176,174,172,169,167,166,173,177,181,184,187,188,191,192,192,193,193,192,191,190,188,187,209,177,114,99,180,180,178,176,174,171,170,167,175,179,183,186,188,191,193,194,195,196,195,194,194,191,193,182,166,139,93,98,184,181,179,178,175,172,170,168,176,181,185,188,190,193,195,196,197,197,197,196,194,197,213,174,112,77,61,119,189,183,181,179,176,174,171,169,178,183,187,190,193,195,197,198,199,199,198,197,193,176,172,176,134,92,47,155,191,185,184,182,179,176,173,171,180,184,188,191,194,197,199,199,200,201,197,207,207,145,92,146,196,122,85,137,177,189,186,183,180,178,175,173,180,185,189,192,196,198,200,202,199,204,170,134,182,148,106,123,202,121,96,79,112,133,183,184,181,180,178,175,181,186,190,194,198,200,201,202,215,215,169,115,138,168,124,100,170,126,114,95,122,93,160,189,182,180,179,177,183,187,192,195,198,201,202,209,219,204,188,148,109,166,121,88,137,135,125,108,116,79,149,192,184,183,180,178,182,188,193,196,199,202,203,221,218,190,195,152,102,138,117,88,127,103,91,119,99,71,144,194,186,184,181,180,182,187,192,196,199,201,202,218,209,167,171,147,95,107,112,74,151,152,79,138,122,74,122,194,186,183,181,179,185,188,194,198,200,203,205,208,207,184,170,128,77,100,98,58,150,159,84,123,127,72,105,195,187,183,181,179,185,189,194,198,200,203,205,211,218,200,179,120,97,104,110,82,137,139,117,115,103,66,145,194,187,185,184,185,185,191,196,199,201,204,206,211,223,209,194,125,104,103,128,139,185,167,137,116,74,91,194,195,194,191,171,132,184,190,196,199,202,204,207,210,224,217,191,141,120,115,173,197,180,148,113,101,71,149,195,164,137,108,67,44,136,137,139,140,142,142,139,141,207,212,184,160,135,127,180,191,159,127,103,91,68,96,77,43,29,26,29,32,112,115,114,115,114,112,111,103,169,210,186,165,148,118,150,161,133,109,92,73,44,28,25,25,30,27,22,25,118,118,118,118,118,119,125,101,98,203,187,166,145,109,110,108,102,88,71,45,28,28,29,24,24,31,28,22,120,120,118,118,118,118,119,92,44,120,172,165,126,91,91,89,89,64,30,42,22,18,27,26,20,23,30,29,120,122,122,121,120,121,113,69,52,52,89,114,98,93,84,78,64,27,0,26,35,10,17,25,23,21,24,29,121,121,121,120,120,121,96,58,56,53,46,57,82,76,59,50,28,4,1,17,36,22,6,20,23,21,21,27
13,163,164,167,171,173,177,179,181,184,185,186,188,189,189,190,190,189,191,192,192,192,192,191,192,192,193,193,193,164,166,170,172,175,178,180,183,185,186,188,190,190,190,191,190,190,187,182,189,193,193,193,193,194,194,195,195,166,168,171,174,176,179,182,184,187,187,189,192,191,191,194,194,195,171,133,140,194,195,196,195,194,195,196,196,167,170,173,176,178,181,183,185,188,188,190,192,191,191,190,198,206,171,122,98,186,187,192,196,196,196,197,197,169,171,174,177,180,183,186,188,189,189,192,193,196,173,149,164,200,167,119,85,137,133,133,170,200,199,199,199,170,172,175,179,182,184,187,189,191,192,194,200,216,173,134,126,189,159,117,71,126,136,97,106,195,200,201,199,171,173,176,180,183,186,188,190,193,193,192,189,201,187,149,126,181,152,104,91,168,151,95,82,180,202,201,201,172,174,178,181,185,187,190,192,192,194,190,147,124,155,155,120,179,169,100,125,183,146,97,82,182,204,203,204,173,176,180,182,185,188,191,193,195,204,191,148,113,109,148,113,186,176,108,143,181,140,93,86,190,205,205,205,174,177,181,185,188,190,192,194,203,193,191,163,124,94,136,114,121,126,85,144,198,150,86,96,199,207,207,207,175,179,183,186,188,191,193,197,200,167,183,165,123,84,117,122,59,34,70,150,181,129,69,115,206,207,208,208,175,179,183,186,188,191,194,202,200,167,160,159,121,79,100,120,72,23,84,160,150,104,77,149,211,208,208,208,177,179,182,186,190,193,196,207,196,164,143,164,117,81,88,111,83,65,131,166,162,146,117,122,204,210,209,209,178,180,183,187,190,193,196,211,198,167,136,156,114,82,82,127,105,126,190,173,152,134,112,91,177,213,210,210,179,180,183,187,191,193,197,211,196,166,134,142,119,94,86,153,136,170,195,179,150,118,98,88,180,214,211,210,179,181,185,188,192,195,199,212,198,176,152,130,120,106,76,154,178,202,193,169,142,109,90,97,198,213,213,212,180,183,186,189,192,195,201,213,200,180,163,140,112,99,110,190,205,209,188,160,132,102,86,114,209,215,215,215,180,183,186,188,191,194,200,210,199,182,168,158,131,123,137,196,208,202,174,144,118,95,86,153,215,215,215,214,179,182,185,189,192,195,197,204,199,187,174,166,142,125,129,190,207,190,157,129,107,89,105,198,214,214,214,214,179,182,186,189,193,195,197,199,197,189,175,169,149,129,133,182,201,176,146,119,98,82,142,212,213,213,213,214,180,183,186,190,193,195,197,199,199,192,176,168,151,131,136,170,183,157,133,109,92,87,177,212,214,214,214,214,182,184,187,191,193,194,197,199,201,191,173,163,145,126,137,162,156,139,119,99,88,118,205,213,214,214,215,215,182,184,186,190,193,195,197,199,200,182,165,152,130,119,141,151,135,127,107,92,90,171,214,214,215,215,215,216,182,184,188,190,194,197,195,199,200,175,162,143,127,129,146,146,130,119,102,88,134,207,214,214,215,215,216,216,181,185,188,191,195,198,193,206,202,178,167,144,132,142,153,135,123,102,91,100,187,215,214,214,215,216,216,216,145,150,156,161,165,167,178,208,203,183,176,147,140,151,145,122,110,91,80,141,207,211,211,212,215,216,215,215,99,101,103,104,105,103,148,201,191,180,176,149,142,149,137,111,95,83,80,118,142,145,149,151,156,162,166,174,103,105,104,103,103,98,152,198,180,168,162,143,137,146,134,100,89,78,82,100,104,105,106,114,131,144,147,159
16,86,84,81,80,80,82,82,84,85,91,103,114,124,132,140,147,150,152,156,158,163,169,173,177,181,185,188,190,85,83,81,80,80,81,82,83,83,91,103,113,123,131,139,147,151,153,154,157,163,168,173,177,180,184,187,189,85,83,80,79,80,80,81,81,82,90,102,112,122,131,139,146,153,166,154,138,152,166,173,175,180,183,186,189,84,82,80,79,79,79,81,81,81,90,101,111,121,132,143,150,175,179,154,128,111,122,153,175,180,183,186,188,85,82,79,78,79,79,80,80,81,90,102,112,120,165,180,179,182,162,138,126,109,90,91,128,170,184,187,189,84,81,79,78,79,79,79,79,80,88,100,107,141,193,181,169,162,145,127,111,103,97,84,78,101,143,168,182,83,81,80,78,78,78,78,79,79,88,97,127,181,176,157,149,140,130,114,96,98,100,90,82,78,82,98,119,83,81,79,78,78,77,78,79,79,86,107,168,173,152,142,130,115,106,95,91,89,100,100,89,85,79,77,77,81,78,77,76,76,75,77,78,77,111,151,159,144,134,120,105,95,87,88,86,74,101,101,106,92,84,78,73,79,76,75,74,76,74,75,72,97,174,161,138,126,113,96,87,80,76,82,73,66,106,107,117,99,89,78,71,81,78,75,75,75,76,76,69,156,194,159,126,101,89,82,76,68,74,71,52,70,110,110,117,103,92,78,73,130,127,124,121,116,113,109,125,192,181,143,106,79,68,65,61,64,68,49,37,79,109,110,123,112,102,86,80,117,114,113,112,110,109,114,177,182,156,116,84,65,59,55,43,44,38,24,25,78,105,111,135,130,114,96,82,111,110,110,111,109,106,140,179,151,120,90,69,58,59,47,25,18,13,13,16,67,103,118,144,133,117,107,79,114,114,114,114,112,122,178,160,119,85,71,61,59,59,45,20,9,9,11,12,47,95,128,146,115,113,109,73,115,117,116,115,112,158,177,131,89,65,59,60,64,66,63,48,19,13,15,17,25,96,149,129,96,104,98,66,116,118,119,114,134,168,137,95,68,82,72,67,70,73,71,67,44,38,40,34,50,142,146,107,86,86,76,63,115,117,116,125,167,137,95,66,81,116,92,89,85,81,76,68,59,56,54,48,120,156,124,90,75,69,62,62,117,116,113,158,150,99,66,70,106,103,89,89,89,82,78,71,62,60,49,81,169,148,103,73,64,59,59,62,117,117,116,143,113,74,73,103,114,106,105,94,81,72,72,67,62,64,66,137,180,146,84,60,56,56,61,60,115,117,117,118,107,101,108,114,116,116,114,108,99,88,95,94,93,102,110,178,184,149,81,49,55,66,65,59,114,115,116,116,115,116,115,115,116,116,116,117,116,116,116,116,116,117,117,183,186,149,88,55,81,75,67,64,112,114,115,115,115,115,115,114,116,116,116,117,117,117,117,116,117,117,114,161,170,137,85,94,130,93,82,79,111,113,114,114,115,115,114,115,115,116,116,117,117,117,117,116,117,118,115,133,143,109,84,112,142,118,94,91,111,113,114,114,114,114,114,115,115,115,115,116,117,117,117,117,117,117,116,118,120,101,98,113,136,155,120,106,111,112,113,114,114,114,114,114,115,115,115,116,117,117,117,117,117,117,116,116,117,115,117,115,120,168,149,132,111,112,113,115,114,113,114,113,114,115,115,115,116,116,116,116,117,117,116,117,116,116,118,118,112,164,171,151,112,111,113,114,113,113,114,113,114,115,114,114,115,115,115,115,116,117,116,116,117,116,118,118,110,154,182,163
8,159,159,160,159,160,160,160,160,161,161,161,160,159,160,159,159,159,159,159,158,158,158,155,155,155,158,143,62,160,160,162,162,162,161,161,162,162,161,159,162,160,161,162,161,160,160,160,160,159,159,157,157,158,157,156,114,162,163,164,163,163,163,162,163,164,166,122,154,166,164,165,164,163,163,162,162,162,160,158,158,158,158,158,94,163,164,164,164,164,164,164,163,168,167,100,149,169,165,165,165,165,164,163,163,163,161,161,160,160,160,153,107,164,164,165,165,165,165,166,162,176,151,88,160,168,166,165,166,166,165,165,165,164,163,163,162,162,161,158,135,166,166,166,167,166,165,166,165,185,136,87,172,168,167,167,169,167,166,166,166,165,164,164,164,163,162,159,160,166,166,168,168,168,169,167,169,188,128,100,175,168,169,170,170,168,168,167,166,166,165,165,164,164,164,162,162,167,167,169,169,169,170,168,177,183,106,119,177,169,173,170,169,173,169,168,168,167,168,165,166,165,164,163,161,169,170,169,169,170,171,167,181,173,102,125,183,153,149,173,165,159,173,173,174,171,168,169,166,167,164,165,165,170,170,170,170,171,171,168,186,170,110,129,201,155,110,149,160,113,133,154,151,163,131,136,173,166,168,167,166,171,171,171,171,172,171,171,187,171,115,164,204,174,125,120,155,129,85,105,119,155,107,96,177,167,169,167,166,171,171,171,171,173,172,174,186,168,125,189,205,185,138,98,150,127,104,142,121,169,109,92,178,168,168,168,167,172,171,172,172,173,171,181,174,163,151,175,202,191,145,88,141,113,134,154,123,173,136,99,174,170,169,169,168,172,172,172,172,173,174,179,153,166,170,149,182,193,149,85,118,114,149,137,120,166,156,117,141,178,170,170,169,171,171,172,172,172,178,178,132,161,159,146,165,195,155,85,86,119,154,126,95,161,157,111,101,181,169,170,170,171,171,172,172,170,182,179,122,130,144,127,144,189,151,79,71,115,147,109,89,165,145,88,124,180,171,171,170,171,171,172,172,170,188,191,122,110,115,109,110,171,159,89,63,119,160,99,113,156,111,82,168,172,170,170,170,171,172,172,172,174,194,196,138,99,112,104,107,147,169,119,48,113,130,98,138,117,76,118,180,169,170,170,170,172,172,172,171,177,195,196,155,94,101,104,101,135,145,92,82,152,135,147,148,93,75,166,174,170,171,171,170,171,172,173,172,181,195,195,164,95,104,113,104,153,160,137,165,163,143,132,138,84,92,182,171,173,173,171,171,170,171,172,171,182,196,197,165,99,112,111,128,178,183,185,172,157,144,112,108,73,119,183,171,174,174,172,171,176,178,179,177,182,193,194,157,113,127,110,165,190,187,185,175,157,133,104,78,79,170,176,174,174,173,173,171,123,125,128,125,165,199,192,161,135,131,113,172,193,195,185,170,149,119,91,64,122,185,176,176,170,169,172,174,76,76,78,65,129,203,189,172,141,139,122,163,199,198,171,156,135,102,81,69,96,105,102,114,140,170,179,176,86,85,87,78,111,199,188,171,142,141,125,163,201,184,160,140,116,87,77,69,74,97,129,163,176,175,177,173,85,84,86,77,109,196,177,158,139,137,127,175,190,167,146,117,99,75,75,122,148,176,184,183,184,177,165,166,84,84,89,76,126,192,169,155,142,135,138,170,169,156,127,101,93,59,125,206,188,163,156,161,168,178,174,163,84,83,87,75,146,188,165,154,145,138,145,159,155,146,113,96,87,84,160,164,187,182,158,149,155,157,153,157
2,208,208,207,208,208,208,208,206,205,204,202,201,201,198,197,196,194,193,192,188,190,189,188,185,184,184,181,178,211,210,211,211,211,211,210,208,208,208,205,203,202,201,200,200,199,197,195,198,193,192,190,189,187,185,183,182,214,214,215,215,214,213,211,210,210,209,208,206,206,207,203,198,189,179,138,158,192,194,196,190,190,186,185,184,216,217,217,216,216,215,214,213,213,212,210,209,203,195,190,179,154,127,83,67,137,155,146,196,191,190,187,185,218,219,218,219,219,218,217,216,215,215,214,208,190,186,180,141,97,71,56,66,104,118,80,180,195,191,191,188,221,221,221,220,220,220,219,219,218,218,214,197,195,174,126,64,49,50,44,47,62,71,53,97,204,194,193,191,223,223,223,223,223,223,221,221,219,219,206,202,180,108,60,43,35,46,43,33,40,50,43,124,208,195,194,193,226,225,225,227,226,226,224,222,223,216,205,200,137,58,52,43,45,37,41,70,69,75,112,197,204,198,197,195,229,228,229,228,227,227,226,224,226,210,207,179,99,53,51,46,42,70,144,205,197,201,211,206,203,201,199,197,231,231,231,231,231,229,228,229,220,208,200,136,61,42,53,42,141,216,220,213,214,212,207,207,206,203,201,199,231,231,232,233,233,232,233,225,205,219,193,117,69,52,48,65,219,219,213,213,214,213,210,210,207,206,204,201,234,233,234,234,233,233,236,205,214,225,180,115,82,61,34,152,229,215,217,217,217,215,211,211,209,208,206,203,235,235,237,236,234,237,226,200,227,211,168,117,77,49,85,229,222,223,222,221,218,216,213,214,211,208,206,206,236,236,238,238,237,240,209,207,236,201,150,101,65,41,127,241,221,225,225,223,219,217,216,215,211,210,209,207,238,238,239,239,239,234,197,225,235,181,140,99,66,40,163,241,224,226,225,223,221,218,215,217,218,215,209,209,241,240,240,238,245,216,207,242,220,159,135,96,58,50,219,233,227,227,226,224,220,222,223,212,195,196,216,209,241,241,241,243,241,202,231,237,192,152,144,92,58,42,168,245,230,227,224,224,231,214,170,143,133,121,153,213,241,241,241,247,223,213,240,216,170,166,139,84,50,54,66,131,227,233,233,229,184,123,114,130,132,100,117,213,244,244,243,244,212,227,229,201,168,162,125,73,46,58,75,62,128,237,195,144,107,104,134,131,92,142,213,214,245,244,248,232,215,225,220,190,165,152,104,59,52,73,78,80,76,99,94,103,120,121,110,79,159,225,218,213,248,247,247,219,223,222,209,177,158,133,91,55,73,89,87,86,86,72,95,110,103,85,73,160,231,219,217,217,248,250,234,224,227,219,197,171,143,121,85,62,88,89,86,86,82,77,82,76,93,154,205,231,222,224,221,218,249,242,226,231,228,216,195,153,123,118,79,72,87,85,81,79,68,49,69,150,217,241,230,223,225,224,223,220,251,226,226,215,220,210,174,134,116,100,67,76,83,85,78,54,72,126,204,243,235,230,230,230,227,225,224,221,234,219,206,211,207,187,146,104,89,71,69,74,74,65,43,98,217,250,241,234,234,233,232,231,227,225,224,222,223,215,194,203,189,173,131,89,81,71,60,44,48,72,153,243,244,238,237,236,236,234,233,232,230,225,225,224,223,206,197,205,197,179,113,87,80,61,86,147,191,234,255,243,240,241,238,237,235,234,233,232,231,227,226,224,218,202,195,204,194,167,97,84,68,93,231,255,255,245,239,242,242,239,239,238,235,233,232,231,229,227,226,223
19,156,157,159,162,161,162,165,165,166,166,167,167,165,165,164,166,167,163,163,162,162,161,160,160,159,157,157,157,157,159,160,163,164,165,167,168,167,167,167,168,167,165,165,145,147,168,165,164,164,164,164,163,161,160,159,158,158,161,163,165,167,168,168,169,170,169,170,169,166,177,171,124,74,152,170,165,165,166,165,164,162,160,158,160,159,162,165,166,168,169,169,170,169,169,170,171,166,188,169,131,68,118,179,165,166,166,165,165,163,162,162,161,161,164,167,167,168,170,172,173,171,171,172,172,169,193,164,134,70,105,180,165,167,167,167,166,164,163,164,163,164,166,167,170,172,172,174,174,175,173,174,173,174,192,152,123,61,98,182,167,170,168,166,164,166,164,165,164,165,168,170,173,173,173,174,174,175,175,175,173,179,192,136,96,56,101,181,162,165,158,172,179,150,166,166,166,166,169,172,173,174,175,175,175,175,175,175,172,178,186,149,126,144,164,171,157,178,158,202,213,106,165,166,167,167,170,172,173,176,179,178,177,175,176,180,184,181,173,173,171,190,194,178,162,177,167,155,135,116,174,167,168,169,172,174,176,178,178,178,177,185,193,199,206,201,181,157,148,149,147,133,114,105,104,102,122,167,171,171,170,173,175,175,178,176,185,188,183,197,206,205,196,178,166,156,147,107,69,92,112,135,148,170,178,173,172,172,170,174,175,177,178,184,207,196,190,188,186,186,183,184,183,182,186,131,70,175,181,183,179,176,173,173,172,172,170,175,176,180,177,194,211,199,195,187,190,196,198,193,186,182,170,122,55,164,180,175,176,176,175,174,173,172,172,176,179,182,180,191,211,197,188,194,202,200,202,192,179,174,153,102,43,121,190,176,180,177,176,175,175,173,173,178,181,182,181,191,205,182,178,185,196,199,185,174,184,190,189,125,47,68,183,181,180,179,178,176,176,174,174,179,181,185,182,200,192,174,176,176,163,162,186,202,192,183,193,126,51,45,161,187,181,180,179,179,178,176,175,180,183,185,185,199,175,176,182,178,163,187,200,183,172,174,165,108,57,33,141,192,181,181,182,180,180,179,178,180,184,186,186,190,192,197,194,199,205,201,186,177,171,157,131,85,52,31,159,189,182,183,182,182,181,180,179,181,185,187,188,186,210,209,195,191,193,192,178,160,154,171,178,130,34,103,195,183,184,183,184,184,183,181,180,183,185,188,190,185,200,211,186,178,169,139,131,173,198,196,197,155,49,137,198,184,186,184,185,184,182,182,182,183,187,189,191,191,183,198,180,172,161,155,182,208,187,161,157,130,52,82,200,186,188,185,187,185,183,182,182,184,187,189,192,194,187,186,202,199,190,198,198,180,160,147,135,100,31,118,201,187,189,188,187,185,183,183,181,184,187,190,192,197,190,183,204,203,178,176,177,163,146,124,86,79,124,184,193,190,190,190,188,186,185,185,183,184,187,189,192,196,192,179,189,189,163,164,154,133,109,72,38,161,205,191,192,191,190,190,188,187,187,186,184,183,186,188,191,194,190,172,182,178,149,138,119,93,69,53,42,143,201,189,190,190,189,188,188,186,186,185,184,185,188,190,192,194,194,167,170,170,140,124,121,105,62,56,42,88,205,189,191,190,189,187,188,187,186,186,184,186,189,190,194,196,193,169,163,160,139,115,97,79,58,54,41,86,204,190,191,191,188,188,189,189,187,185,184,186,190,192,194,196,190,169,170,154,150,124,94,69,62,58,40,96,207,191,193,192,190,190,189,189,188,187,185
5,161,165,167,171,173,176,180,181,181,182,182,184,184,183,185,185,184,185,184,186,185,184,184,183,184,185,185,185,163,167,170,173,177,179,181,183,184,185,186,186,186,186,186,187,187,188,187,188,187,187,187,187,187,187,188,187,165,167,171,175,179,181,183,185,186,187,187,188,188,189,183,179,190,190,190,189,190,191,192,191,190,189,188,189,167,170,174,177,180,183,185,187,188,188,189,191,190,199,170,123,194,193,192,192,193,193,194,194,192,191,191,190,169,173,177,179,183,185,186,190,191,191,192,191,202,200,147,141,195,194,194,194,195,196,196,196,195,194,193,192,171,174,178,181,186,188,191,166,182,194,194,199,221,148,127,191,197,195,195,195,196,192,192,199,198,196,195,194,173,176,180,183,186,187,203,133,150,197,193,224,198,110,178,200,197,196,204,204,195,146,148,204,200,200,199,196,174,177,181,184,187,194,200,109,168,199,199,210,146,135,203,198,199,215,211,174,155,128,173,203,201,202,201,199,174,179,183,186,187,209,165,115,198,199,195,162,110,180,201,195,209,204,150,119,170,191,204,202,202,202,203,202,175,179,184,186,187,215,151,136,203,198,172,134,115,204,191,192,179,128,129,188,207,205,204,205,203,203,203,202,177,180,185,187,189,216,153,140,205,194,166,141,123,204,177,184,118,118,197,207,205,205,204,206,206,205,205,204,178,180,184,188,191,213,158,133,204,191,168,133,133,178,169,164,103,170,209,206,206,204,206,206,206,207,206,204,179,182,186,189,192,204,193,140,179,192,172,107,131,140,161,141,123,200,208,208,208,207,203,206,209,208,207,207,179,183,188,192,194,194,209,180,134,179,151,129,104,115,140,125,157,211,207,203,209,213,190,151,208,210,208,207,178,181,186,188,193,189,201,212,158,137,127,118,106,110,110,124,180,206,201,209,216,194,199,149,176,214,209,208,178,182,186,189,193,193,195,225,196,144,106,96,97,99,102,132,160,193,206,188,161,138,168,182,143,187,211,209,180,184,187,189,192,195,195,219,208,150,99,93,94,92,100,130,146,153,166,126,129,183,190,180,133,161,211,207,180,185,188,190,192,195,196,212,214,151,96,88,90,88,98,115,123,109,123,156,200,195,191,145,141,209,210,209,182,185,188,190,194,196,196,208,218,158,97,85,89,90,93,104,101,116,193,212,201,192,161,114,201,213,210,210,183,187,190,193,195,196,197,205,219,166,105,84,87,93,89,93,80,147,217,209,193,176,115,137,217,210,211,211,160,167,174,178,182,186,188,197,218,175,113,85,86,88,93,110,120,132,184,196,194,147,105,192,218,214,213,214,95,97,100,102,105,111,106,168,226,184,125,87,87,88,93,117,142,155,136,182,191,132,118,177,181,184,187,188,99,98,97,97,97,98,90,168,223,191,137,92,84,93,105,129,151,161,147,168,167,110,97,99,101,103,104,104,99,99,99,107,106,105,96,173,220,196,145,97,87,93,128,153,167,157,128,127,126,106,109,106,109,107,105,104,98,97,99,101,102,105,97,163,216,198,152,110,100,89,139,161,162,139,108,94,100,111,116,109,110,108,132,171,98,98,99,100,101,102,95,163,209,193,155,124,107,86,131,156,150,117,94,96,106,109,107,101,130,179,208,199,98,99,100,101,100,101,96,181,213,190,160,130,106,88,111,133,123,101,94,106,111,107,106,163,219,214,197,182,97,98,99,100,100,100,98,196,213,185,154,118,96,85,96,106,100,94,103,108,112,110,182,229,212,197,185,163
4,189,190,191,191,191,190,190,189,188,189,189,188,187,186,187,186,183,184,183,182,180,181,180,179,180,178,176,175,192,191,192,192,193,192,190,189,190,190,188,188,189,186,187,188,186,187,184,184,182,181,181,180,179,179,179,176,193,194,194,194,193,192,192,192,192,190,189,189,187,186,188,188,185,186,186,183,182,182,182,180,179,179,180,178,194,195,194,195,195,194,194,194,193,194,192,191,191,193,190,189,190,187,184,184,183,183,182,181,181,181,181,179,196,196,195,195,196,195,194,192,188,180,186,193,169,161,185,185,171,173,190,185,186,182,182,183,181,182,181,180,197,197,197,197,197,195,198,203,177,160,119,138,164,120,99,161,157,106,127,199,188,189,183,184,183,182,182,180,198,199,197,198,198,193,209,215,184,150,100,77,151,119,67,127,151,104,70,110,130,149,187,184,185,184,182,181,200,200,200,199,195,203,214,188,193,132,85,82,146,104,61,123,143,96,77,47,77,72,119,192,182,184,182,182,201,200,201,201,197,205,213,176,191,134,120,78,152,143,58,113,171,124,78,51,76,67,80,192,183,185,185,182,201,200,201,202,199,204,204,157,180,181,157,81,181,176,60,113,218,147,80,56,118,95,101,194,184,187,186,184,201,201,202,202,197,212,227,195,162,173,125,81,181,152,53,100,204,138,79,86,151,142,94,181,189,187,186,184,202,202,201,203,201,222,214,187,159,128,90,64,101,85,102,181,146,137,146,136,144,136,86,126,199,185,188,185,203,203,206,204,205,217,194,167,137,114,103,89,67,56,118,207,156,146,164,152,147,132,117,90,178,192,186,187,204,203,206,202,209,234,212,188,160,112,87,80,76,80,74,148,158,141,156,147,128,159,154,94,131,200,185,187,204,204,206,204,214,234,212,195,154,106,93,83,75,76,82,105,114,125,145,92,128,183,167,123,88,194,188,188,207,207,208,205,220,233,215,196,146,104,103,86,77,83,100,114,123,150,164,146,142,181,177,130,70,165,196,188,207,208,208,205,222,231,216,175,143,116,102,89,74,109,148,176,185,189,178,187,156,136,148,119,69,126,201,186,207,208,209,206,221,231,211,175,154,109,97,107,140,183,195,195,185,183,166,152,159,116,113,105,79,97,200,186,209,210,209,209,225,228,208,179,160,131,130,158,183,199,192,190,180,170,158,141,142,117,102,102,84,80,199,189,209,209,211,206,210,227,211,186,175,144,145,176,174,204,189,183,173,166,153,136,125,111,96,96,60,112,202,189,210,211,215,120,92,120,169,200,171,146,136,170,169,182,179,172,173,156,131,121,115,95,83,60,84,193,194,192,210,222,183,71,76,66,71,88,88,84,94,133,154,166,169,166,158,137,116,112,96,81,54,69,185,200,195,195,212,221,118,73,73,73,73,36,22,44,42,48,71,100,127,157,146,129,111,94,78,50,66,181,202,194,197,195,226,172,70,77,69,68,71,60,12,35,43,40,37,32,38,66,93,101,86,68,42,78,187,205,196,198,198,197,218,104,70,69,61,61,67,65,11,22,37,40,36,35,32,27,29,44,44,35,105,199,205,199,200,199,198,197,155,70,78,61,56,61,67,57,7,19,33,36,32,29,33,32,31,30,2,87,224,201,201,201,200,200,200,197,87,73,53,85,84,39,74,36,3,22,33,32,27,30,29,28,31,24,12,17,170,214,201,203,202,201,200,199,71,63,50,77,107,54,58,13,10,25,27,26,24,26,26,28,30,17,17,0,109,223,200,205,201,200,200,200
11,126,131,136,139,143,146,149,151,154,156,158,160,161,164,166,167,168,169,171,172,173,173,174,174,174,173,174,173,127,132,137,141,145,147,150,152,155,157,159,161,163,165,167,168,169,171,172,173,174,175,175,175,175,175,175,175,128,133,139,143,146,148,151,153,156,158,160,163,165,167,168,169,170,172,173,175,176,176,176,176,176,176,176,176,129,134,139,143,147,149,152,154,157,159,162,164,166,168,169,168,158,164,174,176,176,176,177,177,177,177,177,177,130,134,139,143,147,150,152,155,159,161,164,166,167,169,170,169,142,143,173,177,177,178,178,179,179,178,178,178,130,134,140,144,148,151,153,156,159,163,165,167,168,170,172,173,137,134,172,178,179,179,179,179,179,179,178,179,131,135,140,145,149,151,154,156,160,163,166,167,169,170,174,173,130,137,174,179,180,180,181,181,180,180,179,179,132,136,141,146,150,152,154,157,160,163,166,168,169,171,178,170,126,146,177,180,181,182,182,181,181,181,181,180,132,137,143,146,150,153,155,158,160,163,166,168,169,173,180,155,123,156,179,181,181,182,182,182,181,181,181,181,133,138,143,147,150,153,156,159,161,164,166,169,169,167,167,132,122,166,180,181,181,182,182,182,182,182,182,181,133,137,142,147,151,154,157,159,162,165,164,168,169,142,128,114,131,174,180,181,182,182,183,183,182,182,182,182,133,138,143,147,152,159,163,159,152,166,158,141,149,128,103,105,148,179,181,182,183,183,183,183,183,183,183,182,133,138,143,149,162,176,178,160,127,144,146,118,130,120,94,106,162,180,181,183,183,183,184,184,184,183,183,183,134,138,144,155,169,165,170,158,119,131,132,114,135,115,87,116,173,181,182,183,183,184,185,185,185,184,183,183,135,139,145,161,159,143,151,150,115,125,120,114,133,105,83,128,177,182,182,183,183,184,185,185,185,185,184,183,135,140,151,169,152,127,132,134,106,114,107,115,123,93,81,136,179,182,182,182,183,184,185,185,185,185,185,184,136,140,161,175,152,126,122,113,99,106,96,115,112,82,78,135,179,182,181,179,175,172,172,178,185,186,185,185,136,144,173,175,151,127,114,103,103,100,84,116,102,77,84,124,167,175,173,168,161,152,142,146,166,184,186,185,136,148,180,173,150,130,112,101,112,99,81,107,106,105,117,130,152,164,165,159,148,138,131,125,133,173,186,186,136,149,179,173,156,138,118,110,121,125,128,138,144,145,142,145,152,149,142,139,139,147,155,150,147,175,186,186,136,148,177,174,161,144,126,125,144,158,157,157,156,150,137,132,132,130,143,160,172,180,184,183,181,185,187,187,135,150,182,176,160,144,128,133,154,162,156,155,149,134,116,115,132,157,177,184,186,186,187,188,188,188,188,187,136,156,183,167,151,136,128,134,148,152,150,143,128,111,112,141,169,182,185,186,186,187,188,188,188,188,188,188,136,161,173,151,141,134,132,134,136,138,135,118,106,119,151,174,182,184,184,185,185,186,187,187,187,187,188,187,137,165,170,148,141,144,138,134,125,121,112,106,129,160,175,179,181,182,182,183,183,185,186,186,186,187,189,190,141,173,175,149,143,153,142,128,113,102,103,134,164,174,176,177,179,181,181,182,183,183,184,186,190,198,202,202,145,179,177,147,144,156,140,120,101,91,122,161,171,174,176,177,179,180,181,182,182,183,184,186,196,202,206,204,146,180,177,145,143,154,138,117,93,92,142,167,171,173,174,176,178,179,180,181,182,183,184,183,179,171,189,199
7,204,204,204,204,204,203,204,203,203,203,201,199,198,197,196,195,193,191,190,189,187,187,185,184,182,178,176,175,207,207,207,206,207,207,207,206,205,205,204,202,201,199,198,198,196,195,193,191,190,189,188,185,184,181,177,179,208,209,209,208,209,210,209,208,207,206,205,204,202,202,202,201,199,197,195,193,192,190,189,187,185,183,180,179,210,209,209,210,211,211,211,210,209,207,206,205,206,205,203,202,202,200,197,196,195,193,191,190,188,185,182,181,211,211,212,212,212,214,212,211,210,209,209,209,208,205,204,203,202,201,200,198,197,195,192,191,190,187,185,183,213,212,212,213,213,215,214,212,212,211,211,211,209,207,208,206,204,203,201,199,198,198,196,194,191,189,187,185,215,214,214,216,215,215,216,216,214,212,211,212,210,209,209,208,206,204,203,203,199,197,196,194,192,191,188,188,216,216,216,217,216,215,216,217,216,214,212,212,211,211,210,208,208,205,205,203,203,202,200,199,195,191,190,188,217,217,217,217,217,217,217,217,216,215,215,213,215,215,215,214,210,211,208,204,201,196,193,190,193,196,191,190,218,218,218,219,219,219,218,221,222,220,215,213,208,200,190,179,170,153,149,152,154,132,137,169,160,188,195,192,219,220,220,219,219,221,220,204,180,162,154,149,150,143,134,131,135,110,118,124,119,117,125,159,133,178,198,194,221,220,220,222,224,213,190,169,149,118,124,132,132,136,133,134,112,106,100,99,97,101,85,106,148,194,202,195,221,220,223,221,196,178,175,170,148,112,107,107,106,110,113,117,115,124,116,91,99,94,90,94,100,109,168,200,220,226,214,178,166,170,171,160,151,136,122,121,123,132,136,135,137,131,121,82,90,96,83,79,68,89,117,202,228,207,171,167,168,169,160,160,162,150,135,131,130,140,130,125,120,111,94,68,67,70,67,70,68,80,147,202,201,175,174,172,169,165,164,171,158,137,95,87,100,104,93,90,96,98,101,118,144,159,172,176,181,186,199,196,170,179,180,173,170,171,169,150,139,112,68,73,77,59,136,191,191,205,214,217,219,216,215,213,207,204,204,206,173,179,177,173,172,166,146,132,131,105,83,63,58,60,66,186,228,216,214,210,207,207,205,201,203,207,186,156,173,172,176,179,171,152,135,124,123,132,129,79,54,63,38,131,228,213,216,212,208,207,210,212,200,131,83,69,170,174,180,173,153,128,120,117,120,134,119,68,57,50,78,209,218,215,213,217,220,213,191,145,95,60,55,62,172,175,170,150,129,118,114,109,107,109,79,56,40,66,206,224,219,219,223,199,161,120,81,59,55,61,52,57,170,161,141,131,128,122,121,107,88,85,78,64,43,87,237,211,205,204,168,98,67,57,61,62,62,63,49,49,149,137,133,129,120,110,95,81,75,90,94,65,45,126,152,90,85,81,66,61,74,59,52,58,59,61,47,42,138,137,130,111,93,86,80,81,86,95,75,57,73,87,48,47,57,46,60,51,54,60,36,47,57,60,45,41,137,130,114,100,94,92,86,80,76,67,64,78,75,70,61,37,57,44,49,44,47,49,32,40,53,57,40,43,120,103,95,96,94,88,76,68,71,73,76,68,60,54,55,35,41,45,37,40,44,39,28,36,53,52,35,43,79,65,71,76,78,77,83,89,70,72,63,57,49,53,48,41,27,43,32,36,41,32,29,36,51,49,32,44,58,97,112,110,108,112,113,91,59,49,56,56,43,47,42,42,22,33,34,34,42,29,30,39,49,46,29,48
13,154,166,175,178,184,191,200,206,211,214,216,221,226,230,231,234,239,240,241,243,243,245,246,243,243,243,245,246,154,167,178,182,186,195,203,208,211,215,218,223,227,230,234,237,240,241,243,244,246,245,246,247,247,246,247,249,159,172,182,184,190,197,207,212,215,219,221,225,229,232,237,240,243,240,241,242,246,254,250,250,249,250,250,250,161,176,184,186,192,200,207,213,217,220,224,228,232,235,239,241,243,255,255,249,188,218,252,250,255,251,252,253,163,176,185,189,194,202,209,215,220,224,228,232,235,238,241,248,246,255,255,249,170,119,162,187,226,255,252,254,165,177,184,190,197,203,210,218,223,226,229,234,240,237,255,228,191,197,250,255,170,107,142,183,116,230,255,255,169,181,187,190,199,205,212,220,223,228,232,237,237,254,255,250,206,149,196,255,222,115,160,186,103,208,255,255,170,183,189,192,200,207,215,222,224,231,231,247,231,183,255,255,246,175,103,236,245,121,154,201,108,228,255,255,172,184,192,194,201,208,217,223,227,227,242,255,239,159,139,255,255,210,101,124,212,115,174,227,131,251,255,255,174,185,194,197,202,211,219,225,227,237,255,255,255,210,106,209,255,197,123,48,107,79,170,200,162,255,255,255,176,189,195,198,206,216,221,226,227,255,242,232,255,233,127,131,255,177,116,48,78,125,172,161,123,253,255,255,179,193,197,199,210,219,224,223,255,255,240,201,253,211,133,102,236,185,116,55,134,195,186,161,132,178,255,255,182,193,199,204,212,221,226,227,255,255,219,184,233,171,116,72,221,226,120,114,235,226,183,129,139,128,251,255,185,195,201,206,216,225,229,240,255,255,217,158,204,157,110,38,187,224,114,212,255,219,179,140,131,110,235,255,188,199,202,206,220,230,233,244,255,255,236,172,153,164,89,55,175,233,209,255,239,200,168,136,109,124,255,255,192,202,204,211,225,234,236,253,255,255,243,192,131,130,132,198,255,255,255,254,220,181,155,131,88,195,255,255,196,206,207,215,227,237,239,255,255,255,248,198,191,196,207,243,255,255,255,243,203,174,145,113,97,255,255,255,199,209,211,219,232,240,240,255,255,255,255,218,225,204,208,255,255,255,254,226,193,165,136,93,128,255,255,255,203,212,215,225,237,246,247,255,255,255,255,240,235,206,221,255,255,255,236,203,174,148,127,73,210,255,255,255,207,215,219,230,241,250,255,255,255,255,255,254,235,211,224,255,255,232,212,183,162,145,95,150,255,255,255,255,211,219,223,233,244,252,255,255,255,255,255,255,243,226,220,244,255,222,194,169,153,123,125,255,255,255,255,255,214,223,226,236,247,254,255,255,255,255,255,255,255,248,223,233,244,214,173,154,139,108,251,255,255,255,255,255,218,224,229,238,251,255,255,255,251,255,255,255,255,247,217,223,224,200,149,145,111,191,255,255,255,255,255,255,220,228,231,242,254,255,255,255,255,255,255,235,249,237,213,214,208,183,151,128,125,255,255,255,255,255,255,255,222,229,232,245,255,255,255,255,255,255,255,238,255,254,233,203,199,177,164,107,177,255,255,255,255,255,255,133,223,228,233,247,255,255,255,255,255,255,255,252,255,255,237,198,192,175,167,99,208,255,255,255,255,232,118,71,224,230,234,248,255,255,255,255,255,255,255,255,255,255,240,206,191,175,165,96,222,255,255,255,168,72,52,59,225,232,237,250,255,255,255,255,255,255,255,255,255,255,234,211,193,178,161,93,215,255,255,214,86,85,69,32
14,154,158,162,165,166,169,171,172,174,176,175,177,177,176,176,176,176,175,175,174,174,173,172,170,169,168,167,166,156,160,164,167,169,171,172,174,176,177,178,179,179,179,178,177,177,178,178,176,174,175,174,172,171,171,169,169,158,162,166,168,171,173,174,176,178,180,180,180,180,180,180,177,160,163,174,176,176,176,174,173,173,171,171,171,159,164,168,170,173,175,177,179,179,180,181,181,182,181,180,168,160,148,149,141,163,176,175,174,174,172,173,173,160,165,170,171,174,177,179,180,182,182,183,183,182,194,192,182,174,155,128,112,107,134,170,176,175,174,174,174,162,166,171,174,176,178,180,182,183,184,185,184,193,205,183,157,181,162,132,92,72,77,96,153,177,175,175,174,163,167,172,175,177,180,181,183,184,186,187,193,205,198,156,87,126,115,151,111,60,76,58,68,150,177,176,176,164,169,173,176,179,182,183,185,186,188,190,204,188,150,112,73,63,76,153,136,80,77,73,60,75,171,178,178,166,170,174,178,180,182,184,186,188,195,203,212,168,108,71,52,48,54,118,144,107,83,93,77,71,130,179,179,166,170,176,178,182,183,186,189,189,203,216,212,173,127,88,66,57,51,70,112,119,88,92,78,84,84,167,180,168,171,176,179,182,185,187,189,193,210,219,201,155,116,85,65,62,62,119,167,183,161,116,86,83,74,124,182,169,173,177,181,183,186,188,189,200,219,214,169,116,80,67,56,57,97,186,191,190,190,184,126,90,93,115,182,171,175,179,182,186,187,190,188,209,219,205,179,133,83,59,48,75,173,193,193,192,192,184,117,119,93,117,184,172,177,180,184,187,189,191,193,219,213,194,181,136,94,61,40,44,90,161,192,193,192,159,118,121,87,90,185,173,179,181,185,188,191,188,211,221,207,191,181,132,98,55,43,48,57,75,166,192,166,105,112,116,83,64,164,174,179,183,186,189,191,195,223,214,195,196,177,134,100,54,49,59,66,71,86,112,95,102,115,104,79,64,152,175,179,185,188,191,190,211,223,213,198,195,171,135,96,55,62,79,82,82,80,75,86,101,113,99,75,117,185,176,181,185,189,191,194,226,223,212,196,184,167,131,86,60,77,92,95,93,90,83,85,103,97,84,128,186,191,178,182,186,189,192,205,228,220,204,187,174,160,119,87,70,89,97,100,96,91,89,82,87,84,144,190,194,193,179,183,187,190,192,220,226,213,196,181,164,147,111,90,81,90,102,100,95,84,86,74,77,157,196,195,195,195,180,184,188,191,194,228,222,206,190,171,154,140,111,94,82,90,103,96,88,79,78,105,168,198,199,197,196,195,181,186,189,193,203,232,219,198,182,165,146,129,115,91,82,85,95,90,82,76,147,194,200,201,200,199,197,195,182,186,191,193,219,228,211,186,162,152,142,127,99,83,82,79,86,80,79,152,202,203,202,201,200,199,199,197,183,187,191,203,229,220,201,173,166,154,125,101,80,82,84,75,84,114,174,204,205,204,203,202,201,200,199,199,183,188,187,207,221,212,198,176,163,132,116,96,82,78,77,123,184,204,208,207,207,205,203,202,201,201,200,199,173,173,170,210,218,211,192,173,148,116,107,90,79,70,127,207,211,211,210,208,207,206,205,204,203,202,201,200,70,43,106,212,215,204,186,163,131,104,97,84,73,81,186,211,211,212,210,208,208,207,207,205,204,203,202,200,59,39,89,188,211,197,180,153,115,96,88,76,61,139,208,211,211,210,210,209,209,208,208,206,204,203,202,201
3,148,151,154,156,158,160,162,163,164,163,164,163,162,162,162,161,159,158,159,156,155,155,154,151,150,148,146,144,151,154,157,158,161,163,164,166,167,167,166,165,164,164,164,162,169,160,141,161,156,156,155,154,151,150,149,147,152,156,159,161,164,166,167,168,168,168,168,168,167,167,166,162,184,162,95,154,162,158,157,156,154,152,150,149,155,158,161,163,165,167,169,170,170,170,169,169,170,169,169,164,183,161,89,138,167,160,159,158,156,154,152,150,157,160,163,165,167,169,171,172,173,171,171,171,171,171,171,166,181,163,93,133,171,161,162,161,158,156,154,152,158,162,164,167,169,171,173,175,175,174,173,173,174,173,171,168,183,188,112,123,172,164,164,161,160,157,155,153,159,163,166,168,171,173,175,177,177,177,176,175,176,175,174,169,187,196,116,109,171,166,165,163,162,159,157,155,161,165,168,171,174,176,177,178,179,179,179,178,178,177,177,173,189,189,109,102,171,166,167,166,163,161,158,156,163,166,170,173,176,178,179,180,180,180,180,179,179,179,179,172,197,196,117,103,173,169,168,167,165,162,160,157,165,169,172,176,178,180,182,182,183,183,183,182,180,180,178,175,171,165,115,99,173,171,170,169,166,163,161,160,167,172,175,178,179,182,183,185,185,185,185,184,182,179,190,195,126,89,80,94,179,171,172,170,168,165,163,161,169,174,178,179,182,184,186,187,187,187,186,188,195,181,137,148,173,125,63,117,189,178,173,171,170,167,165,162,171,176,179,182,185,186,189,189,191,188,192,160,177,181,114,87,197,135,97,99,132,152,176,172,170,169,166,163,172,178,181,184,186,188,190,193,191,196,203,148,103,164,146,98,158,137,115,98,122,101,149,180,170,169,168,165,175,180,183,185,188,190,191,192,195,215,199,179,123,134,159,94,115,153,138,114,128,85,131,184,173,172,168,166,177,181,185,187,189,192,194,192,208,200,192,189,133,107,144,92,111,121,96,115,109,74,126,187,174,173,170,168,178,183,186,190,191,192,196,193,220,206,169,174,135,89,125,90,114,167,84,128,138,80,116,189,176,175,172,170,179,184,187,191,192,194,197,197,205,188,153,162,113,75,122,74,111,202,98,108,151,84,92,186,177,177,174,171,180,185,189,191,194,197,198,198,203,210,187,158,108,97,118,90,87,149,105,111,125,78,86,185,179,178,175,173,182,187,189,191,195,197,199,199,211,216,201,161,112,97,128,114,150,186,150,132,98,64,132,192,180,180,178,176,180,187,190,193,196,197,200,199,209,220,209,166,127,107,113,169,193,169,129,110,92,72,181,186,183,181,179,177,179,185,190,193,197,197,199,200,205,217,203,164,159,116,138,207,179,140,118,105,83,114,196,182,183,180,178,176,180,187,192,193,198,200,201,201,206,209,197,175,164,132,133,173,162,130,114,94,74,168,191,184,183,180,177,175,181,188,192,195,198,201,201,212,119,166,202,178,162,138,111,132,128,111,95,75,140,198,187,186,183,181,183,184,182,187,191,195,197,199,204,195,64,78,168,174,162,119,93,92,97,97,76,136,199,189,193,196,195,187,159,114,186,193,196,199,202,203,217,139,63,65,74,116,124,84,82,79,84,68,63,195,202,198,177,144,129,98,59,43,142,143,146,148,148,149,147,87,69,66,58,54,62,82,81,64,60,40,8,82,123,92,55,35,29,28,35,41,111,111,112,112,111,112,92,71,77,60,59,55,53,40,33,33,28,23,16,28,35,26,30,31,37,37,28,33
10,72,72,75,79,80,95,118,133,161,158,149,176,179,187,192,197,202,206,209,213,216,218,220,221,221,223,224,224,72,72,75,79,80,97,120,132,181,167,110,162,189,187,195,199,204,209,213,217,219,221,222,225,225,225,227,227,71,73,76,78,81,99,122,139,165,173,127,102,177,196,196,202,206,211,216,220,222,223,226,228,228,229,229,229,72,73,76,79,83,103,126,145,156,164,138,100,105,201,200,204,210,214,217,222,225,227,229,230,230,232,232,232,73,74,77,79,84,106,129,147,158,167,141,118,85,146,213,206,212,216,221,225,229,231,232,233,233,234,235,235,73,73,78,78,85,109,131,149,162,167,165,137,115,86,187,216,214,219,225,229,231,234,236,236,236,235,238,237,73,74,78,80,86,111,132,151,161,168,183,163,125,93,111,220,217,224,229,231,233,237,237,238,238,238,239,240,73,75,78,76,93,116,138,151,179,133,161,192,152,133,86,188,230,225,230,234,236,237,238,239,240,242,242,242,73,77,71,129,153,96,120,163,193,114,99,200,183,149,102,133,234,225,231,235,237,238,241,241,243,243,244,244,72,76,69,140,141,76,65,106,149,123,69,147,209,147,116,86,211,232,231,235,238,242,243,244,245,246,246,245,73,76,75,86,103,79,70,63,75,117,97,77,186,161,114,83,150,244,231,238,240,243,245,247,246,247,247,248,72,75,79,77,99,102,74,68,68,116,127,95,94,159,131,129,84,215,240,239,242,244,246,247,247,248,248,249,72,74,78,80,100,128,131,102,74,107,144,120,80,81,111,135,82,145,249,239,245,245,247,249,249,250,252,251,72,74,78,80,102,128,152,169,142,91,149,145,113,71,74,100,92,87,226,246,246,247,248,250,251,252,252,253,71,72,75,80,104,128,144,179,191,105,81,180,150,109,70,65,82,71,198,253,244,248,248,250,252,251,252,254,70,72,73,80,105,135,156,184,196,151,45,152,194,140,104,75,77,65,178,254,242,246,247,249,250,252,252,254,70,70,72,81,101,162,184,174,214,178,77,86,217,162,135,100,74,60,159,255,243,246,248,250,250,252,253,254,67,69,71,81,102,149,199,166,201,188,114,123,216,177,156,113,75,58,142,255,243,248,251,252,252,253,254,254,70,69,68,78,106,128,178,172,168,183,139,167,203,158,152,107,81,67,133,255,245,247,251,251,252,253,254,254,114,110,110,113,121,125,148,174,169,198,157,150,202,147,146,110,85,72,120,248,246,250,253,255,255,255,255,255,106,108,113,115,114,108,117,178,181,193,202,145,183,161,148,118,87,76,94,153,157,161,166,170,175,179,185,190,110,110,111,115,118,121,113,182,213,179,214,153,107,162,146,121,93,82,80,122,130,131,131,129,129,128,127,128,110,111,113,117,119,121,115,145,218,197,186,173,105,134,142,118,95,83,77,122,141,136,138,139,140,140,142,142,110,112,113,116,118,120,121,125,199,209,199,209,197,150,133,112,94,82,78,114,139,134,134,137,137,138,140,140,110,112,114,115,118,119,122,116,159,203,205,199,209,181,128,102,94,87,81,112,138,135,135,136,136,137,138,139,109,110,112,114,116,118,120,122,123,185,208,196,192,189,135,99,101,94,82,111,136,134,135,137,136,136,137,139,108,109,110,114,117,118,121,123,119,143,199,193,178,167,148,123,119,102,78,101,136,134,135,140,135,135,136,134,107,108,110,112,115,117,119,120,123,118,169,182,167,152,151,149,138,115,86,87,129,135,135,135,135,137,131,168
2,132,133,134,136,135,136,136,137,136,136,135,135,134,133,134,134,132,131,131,127,128,128,125,123,122,120,119,118,134,135,136,137,138,138,138,139,138,137,137,136,137,139,138,137,137,136,136,134,128,128,127,125,124,123,121,119,137,138,139,139,139,139,139,140,140,139,139,140,128,119,123,122,114,109,102,115,137,129,127,127,125,124,122,121,138,139,139,139,141,141,141,140,141,140,141,132,111,106,109,108,98,80,62,53,97,133,132,128,127,126,123,122,139,140,140,141,142,143,143,142,143,144,135,112,112,116,107,109,113,74,67,78,80,82,107,130,128,127,125,123,140,141,142,143,144,144,144,144,145,145,136,125,117,101,89,88,79,34,40,63,71,43,39,123,132,128,126,124,142,142,143,145,145,146,146,147,148,142,136,129,112,86,65,49,61,95,113,87,68,47,83,134,130,129,126,125,142,143,145,145,146,148,148,149,145,126,125,111,80,36,15,62,149,147,145,145,140,135,140,134,131,130,128,126,144,145,146,146,147,148,150,150,142,123,112,76,36,20,12,107,152,140,141,139,139,139,135,134,132,131,129,127,143,145,147,148,148,149,150,150,140,124,80,31,17,8,48,149,145,145,143,141,139,137,137,140,138,133,130,128,145,146,148,149,150,151,152,147,142,122,73,18,17,3,93,158,144,146,145,142,140,142,135,110,103,128,132,130,146,147,149,150,152,152,152,144,141,115,68,19,26,15,88,158,145,147,146,143,143,137,86,56,45,90,138,129,147,147,149,151,152,153,151,144,138,107,49,23,33,17,99,159,148,148,146,147,142,92,67,68,50,86,140,129,147,149,151,152,153,154,150,146,137,100,53,40,32,16,121,157,147,149,148,148,98,64,73,61,50,125,136,132,148,150,151,152,153,155,148,146,136,104,63,43,28,15,80,165,151,148,155,112,48,56,65,41,90,145,134,134,148,151,151,152,153,157,147,144,134,102,66,43,27,27,27,76,136,158,117,69,50,49,45,46,140,138,136,134,149,151,153,154,153,156,147,142,127,100,74,42,27,29,34,29,54,86,52,54,65,45,37,120,144,138,138,135,151,153,154,155,156,155,145,142,128,101,67,40,26,28,33,41,44,38,41,53,46,47,128,149,139,140,138,135,150,153,153,155,157,155,142,147,139,97,67,45,26,30,34,38,47,50,42,47,43,132,150,141,141,140,138,136,152,153,153,155,156,152,140,153,134,92,66,45,27,30,36,39,45,52,44,24,116,156,142,142,141,140,139,137,152,154,155,156,158,149,144,151,124,86,65,49,28,30,39,44,47,49,30,88,156,146,145,144,143,140,140,138,152,154,155,157,159,146,145,145,117,82,67,49,28,32,43,47,50,34,49,157,149,148,147,146,144,141,140,138,153,154,156,157,158,145,146,136,108,84,69,48,28,32,45,43,43,18,116,160,149,149,148,146,145,143,141,140,153,155,157,158,158,143,140,124,100,80,62,45,27,32,44,43,18,73,162,151,152,150,148,146,145,144,141,140,153,154,156,157,156,144,132,120,97,77,60,43,28,33,42,19,57,157,155,153,151,150,149,147,145,144,141,139,153,154,156,158,154,142,123,113,88,71,55,41,30,27,14,62,155,160,154,154,152,151,150,147,145,145,142,140,153,155,157,156,154,138,121,109,86,67,50,38,19,32,109,161,159,155,155,155,153,152,151,147,146,145,143,140,152,155,156,154,152,134,118,105,87,64,46,28,16,126,173,156,156,158,155,154,152,150,150,147,145,144,142,140
4,186,187,187,187,187,187,188,187,187,187,187,188,187,187,187,185,184,182,182,182,181,180,178,177,175,175,174,173,188,189,190,190,190,190,190,190,190,189,189,189,190,190,188,187,186,185,185,184,183,181,181,179,178,177,176,174,193,193,193,193,193,193,193,193,192,193,192,190,187,190,191,183,156,147,180,187,185,183,183,182,182,180,179,178,195,195,194,195,195,194,194,194,194,194,192,178,155,154,186,184,153,120,132,176,153,158,183,184,183,182,181,180,198,197,197,198,198,197,197,197,197,196,199,198,174,146,134,175,167,133,96,147,137,106,146,187,185,185,183,182,199,198,199,200,200,200,199,200,198,192,188,189,192,168,129,122,173,146,98,125,139,107,94,187,187,187,186,184,201,201,201,201,201,202,202,202,194,181,175,140,151,163,111,88,172,143,98,106,143,118,80,186,189,188,187,186,203,203,204,203,203,203,203,203,197,188,178,134,108,144,104,79,148,115,76,123,147,126,90,191,193,191,190,189,204,204,205,204,205,206,205,204,187,149,169,141,103,128,127,80,119,100,65,128,119,92,109,196,195,193,193,191,206,205,207,207,207,206,206,205,197,149,132,161,134,115,150,94,100,119,119,122,84,58,134,198,197,196,195,193,207,207,206,207,208,207,206,206,188,130,100,156,134,153,159,138,144,138,160,133,76,56,173,198,198,198,196,195,208,208,208,209,208,208,208,208,191,166,152,125,81,164,154,147,155,143,152,125,87,75,194,201,200,200,198,196,209,209,209,209,210,210,209,209,201,181,144,102,73,102,131,125,127,122,118,116,99,79,168,203,202,200,199,198,210,210,210,210,211,210,209,207,203,173,130,92,79,81,99,112,112,107,97,125,117,96,99,198,203,202,201,200,211,211,211,211,211,212,210,207,194,154,116,88,85,101,112,141,151,148,129,136,135,121,84,150,205,202,202,201,213,213,213,213,213,213,211,204,196,166,129,95,96,106,133,172,175,187,176,154,172,144,97,94,204,204,203,202,214,214,214,215,214,214,213,202,196,168,132,94,94,116,150,186,190,201,202,183,164,143,93,87,204,205,204,203,215,215,215,215,215,215,214,196,195,179,140,104,100,121,157,193,200,205,196,177,154,116,79,122,208,207,205,204,215,215,215,215,216,216,215,192,194,187,148,119,107,118,169,199,208,206,187,165,142,100,68,175,209,208,206,205,216,216,216,216,217,217,217,191,189,187,158,127,111,122,178,204,208,198,177,153,130,87,87,206,210,208,207,206,216,216,217,217,217,217,217,196,176,179,159,131,113,128,187,202,197,186,164,138,114,75,140,211,210,209,208,207,215,216,216,217,217,217,218,209,173,178,165,135,126,131,190,194,186,173,150,122,95,72,192,214,212,210,208,208,215,215,215,216,216,216,216,216,184,179,171,149,145,128,184,184,180,158,133,106,76,113,212,213,212,210,208,208,215,215,216,216,216,216,216,218,200,177,172,160,144,122,166,171,168,143,111,85,68,183,211,210,209,209,208,207,216,215,216,217,217,217,217,218,208,181,169,155,138,122,145,151,141,114,85,63,130,212,213,212,211,210,209,207,216,216,217,217,217,217,218,219,210,188,173,155,137,125,133,140,119,89,67,75,200,215,214,213,211,210,209,208,216,218,217,218,217,217,219,219,199,189,174,157,143,135,130,134,118,83,60,136,216,216,215,213,211,210,209,208,216,216,217,217,217,217,219,216,186,188,178,169,164,149,137,127,110,77,64,182,216,216,214,214,212,211,210,202
20,158,162,166,171,174,175,177,180,181,183,184,185,186,186,186,187,187,187,187,187,185,186,185,185,185,183,182,180,160,164,169,172,175,176,179,181,183,185,186,187,188,188,189,188,188,191,190,189,188,187,187,187,187,185,185,182,162,166,170,174,177,179,182,183,185,187,187,189,191,192,188,210,183,170,193,193,191,190,191,191,189,187,187,185,165,168,172,177,179,181,184,185,187,189,190,192,193,194,186,228,178,149,183,167,198,192,193,193,191,191,189,187,167,170,174,178,181,184,187,187,189,190,192,194,195,197,190,227,177,173,202,133,197,195,194,194,194,193,191,190,169,172,176,180,183,185,188,190,191,193,195,195,195,198,192,233,193,175,221,135,191,199,196,196,196,195,193,192,170,174,177,181,184,187,190,193,194,196,196,196,199,199,195,240,193,178,234,148,186,202,199,199,199,197,196,195,172,176,179,183,186,189,192,194,195,197,198,199,197,198,206,238,180,194,233,149,180,208,201,201,200,198,197,196,174,178,181,185,188,191,194,196,198,199,201,200,220,212,188,240,179,204,229,139,179,209,202,202,203,201,200,199,175,180,184,187,190,193,195,198,200,200,198,209,253,230,155,159,164,202,224,139,186,210,205,204,204,203,201,200,178,181,186,188,192,195,198,200,200,204,242,233,176,200,184,145,133,169,196,141,192,212,207,206,206,204,203,201,179,183,187,190,194,198,200,202,198,223,235,227,210,184,212,221,178,123,151,134,197,212,207,207,207,206,204,203,181,185,188,192,195,199,200,204,200,227,208,143,181,125,168,231,193,127,115,119,200,212,210,209,209,208,207,205,182,186,190,193,197,200,201,206,201,231,198,136,126,102,101,201,227,162,110,110,199,215,212,211,210,210,209,207,183,186,191,194,198,201,203,207,203,233,223,192,152,125,121,157,251,198,125,102,201,218,214,213,212,211,211,208,185,187,192,196,199,202,205,208,204,242,236,176,141,133,149,159,252,226,152,99,193,221,214,214,213,213,213,210,186,189,194,198,200,204,207,209,206,244,223,170,149,153,159,198,255,230,175,108,186,223,215,216,215,215,214,212,187,190,194,198,200,204,208,211,209,245,233,188,168,169,179,238,255,219,179,113,186,225,217,218,217,216,215,214,187,192,195,199,202,205,209,213,210,245,242,204,171,185,203,255,252,211,171,118,188,229,219,219,217,217,217,215,187,191,195,199,203,206,210,214,210,243,250,214,184,190,225,255,240,206,167,116,190,228,219,220,219,218,218,217,187,192,196,199,202,206,210,214,209,240,253,216,204,193,237,253,226,201,158,110,185,229,219,220,218,217,218,216,190,195,199,201,204,208,211,215,213,234,254,225,222,206,230,247,217,194,157,102,185,230,219,221,220,219,220,215,191,194,197,200,206,209,212,216,215,224,252,234,229,220,209,230,199,187,147,98,189,232,221,222,222,219,221,224,191,194,199,202,206,208,212,216,217,216,247,245,229,208,190,205,181,186,144,100,206,229,222,224,222,227,221,181,194,197,201,205,208,211,213,217,227,226,246,244,216,181,164,186,178,181,128,115,229,225,223,222,230,207,135,99,183,189,194,198,203,208,213,211,173,145,229,233,191,164,154,190,177,168,99,167,246,230,231,236,204,122,100,93,131,133,135,136,139,141,143,151,86,15,185,240,199,162,162,206,159,138,81,100,169,174,175,178,120,91,89,78,105,111,114,115,112,111,113,127,135,77,126,221,194,164,180,206,130,110,58,29,90,112,114,122,100,75,70,73
20,46,50,55,64,85,103,111,116,127,134,139,143,148,157,148,159,163,159,161,160,160,160,161,159,159,158,157,154,47,51,56,66,90,108,115,122,133,140,145,150,152,187,121,118,155,165,166,165,165,165,165,164,162,162,162,160,48,53,57,70,94,111,119,127,139,146,152,158,158,203,133,120,123,127,181,170,171,170,169,169,167,166,167,165,49,54,58,74,98,114,121,131,144,151,157,164,164,210,136,125,164,78,173,179,176,175,174,174,173,171,171,169,50,55,58,76,100,117,124,135,148,156,162,168,170,206,133,105,183,71,139,191,180,182,181,179,178,177,176,174,51,55,58,79,102,120,127,137,151,158,165,172,174,206,160,91,176,97,109,197,185,187,185,184,183,183,181,180,51,56,60,83,105,121,128,140,154,162,168,175,175,210,168,85,175,132,91,195,192,192,190,189,189,188,186,184,52,56,61,84,106,123,130,143,156,165,172,179,180,214,154,80,167,140,79,188,199,196,195,193,193,192,191,189,53,56,62,86,108,126,133,145,159,168,175,182,183,223,170,82,168,169,81,180,205,199,199,198,197,197,195,194,53,56,63,87,111,128,134,147,161,171,177,182,186,214,164,78,155,183,90,168,211,201,202,201,201,201,200,196,54,57,65,90,113,129,136,151,165,172,182,181,153,193,117,63,147,178,87,153,218,205,205,205,205,203,199,199,54,56,66,91,116,131,139,154,167,174,190,217,187,183,154,64,126,170,82,136,222,207,207,205,206,210,216,209,54,54,67,94,119,133,140,155,168,172,192,235,220,144,152,129,93,102,69,123,219,206,216,221,214,193,146,77,55,55,68,96,121,135,142,156,180,165,161,170,208,157,84,119,136,86,45,92,229,217,183,133,89,49,19,21,52,55,71,99,122,136,144,155,204,225,180,105,147,203,105,53,114,131,75,56,148,86,37,19,18,31,37,32,50,52,70,99,123,136,144,159,194,196,210,145,83,184,191,70,77,141,136,76,24,15,18,24,24,15,34,29,48,50,69,99,124,135,143,162,184,115,126,165,136,141,194,101,75,128,150,120,53,16,19,8,30,15,18,30,48,50,71,100,125,137,146,163,196,160,101,87,149,136,87,77,69,80,137,136,92,36,24,8,13,25,12,20,43,44,69,101,127,139,149,166,202,170,99,78,88,100,94,114,121,109,138,131,109,59,7,29,5,14,14,15,78,79,86,98,114,122,132,139,185,161,114,108,111,123,143,166,195,199,163,102,97,59,0,22,22,5,12,9,84,85,85,81,85,87,91,80,139,201,161,118,115,148,170,204,224,200,156,98,77,47,0,2,28,16,12,4,85,87,90,93,92,92,96,90,115,207,175,137,118,158,170,212,221,194,150,99,73,45,0,0,18,19,18,9,87,89,90,92,92,95,97,95,100,199,195,167,119,164,168,205,210,175,138,102,74,45,2,0,5,20,18,14,88,88,88,89,90,92,95,98,90,176,203,180,126,164,165,181,201,174,133,99,73,35,16,0,0,18,16,13,86,87,89,89,90,91,93,96,89,135,199,182,141,169,146,153,182,184,134,93,72,19,20,0,0,9,17,7,86,87,88,88,90,91,92,95,96,96,173,195,160,169,140,127,167,173,124,82,64,7,18,10,0,0,17,2,86,87,88,88,89,91,92,93,96,91,118,191,173,160,140,108,134,146,109,84,43,0,13,20,0,0,5,12,85,86,88,88,89,90,91,91,93,96,90,170,183,155,132,112,106,125,108,89,9,0,0,23,6,0,0,10
19,142,144,147,150,151,154,155,156,157,157,158,158,158,160,161,161,161,162,162,161,162,160,162,162,160,160,160,159,145,147,151,154,155,157,159,159,160,161,160,161,162,164,164,166,164,164,164,165,165,164,165,165,164,164,164,162,149,151,155,158,160,161,162,164,165,165,165,165,165,167,171,167,167,168,168,168,168,167,167,167,166,167,166,165,153,155,159,162,163,165,165,167,167,168,167,171,166,126,143,176,169,171,172,172,172,171,171,171,170,170,168,167,155,158,162,164,165,167,167,169,170,171,169,182,173,125,95,176,174,174,174,174,174,173,174,175,174,174,173,172,158,161,164,167,169,171,171,172,173,174,172,187,178,139,78,161,186,182,181,179,177,177,176,177,177,177,176,175,161,165,167,170,172,174,175,176,176,178,177,187,179,135,79,144,162,157,177,177,179,183,184,182,182,180,178,178,165,168,170,172,174,175,177,178,182,184,181,185,170,153,163,170,146,115,142,143,138,147,153,175,174,180,181,179,167,170,173,175,177,179,180,182,180,177,177,174,175,177,169,157,142,110,123,147,144,141,129,151,132,164,188,182,170,173,175,178,180,181,183,178,150,149,157,161,161,155,151,155,149,110,88,113,119,115,110,111,139,182,187,185,172,175,177,180,182,183,188,167,143,141,141,145,150,156,154,154,148,96,155,181,173,167,169,177,191,191,188,187,173,176,180,182,184,185,192,163,161,146,130,133,139,144,139,134,134,100,165,204,195,198,198,196,193,193,190,189,176,179,181,184,187,188,186,189,184,146,121,129,133,143,150,144,135,108,125,204,193,194,195,195,195,194,193,192,178,181,183,185,188,190,185,191,195,166,140,114,115,127,132,122,118,90,129,207,194,197,196,198,196,195,195,193,179,182,186,188,189,191,188,180,190,196,155,123,120,128,130,115,105,81,161,209,199,200,200,199,199,197,195,195,180,183,187,190,192,192,186,190,191,181,142,131,127,125,117,100,90,78,180,207,203,202,200,201,200,199,198,199,183,185,189,192,194,193,188,197,192,171,145,128,131,110,79,58,69,97,204,202,204,204,202,202,202,201,200,200,184,187,191,193,196,194,190,197,188,161,131,134,155,96,54,45,64,143,212,201,204,205,204,203,202,202,200,200,186,189,193,195,198,197,187,194,185,156,129,148,141,80,48,54,113,203,204,204,206,206,206,205,204,203,202,202,187,191,195,197,199,200,186,187,180,149,133,158,127,84,65,52,165,216,203,207,207,206,207,206,205,206,204,203,189,192,195,198,200,201,182,177,171,149,157,164,121,81,73,67,188,212,208,209,208,208,208,208,207,207,206,206,190,193,196,198,200,203,180,173,173,162,167,154,109,79,69,98,215,206,210,210,210,209,209,209,208,208,207,207,191,194,196,199,200,203,174,174,175,165,158,134,97,78,67,150,221,207,210,210,211,211,210,210,209,209,209,208,193,195,198,201,202,203,171,179,168,149,141,113,90,77,90,203,213,210,210,212,213,212,212,212,212,212,211,210,194,196,198,201,205,202,171,179,166,143,123,93,88,75,145,224,211,213,213,214,213,214,213,213,214,213,213,211,195,198,199,201,207,200,175,196,174,143,112,84,82,64,172,222,212,214,214,215,215,214,214,213,213,214,214,212,195,198,201,202,208,192,179,195,162,131,102,84,69,88,212,215,213,214,215,216,216,215,215,214,214,213,214,213,193,195,200,202,209,182,183,181,137,115,98,90,58,133,228,211,214,214,215,215,215,215,215,214,214,215,215,213
2,181,182,183,184,184,185,185,185,185,185,184,184,183,182,182,183,181,180,180,176,177,177,174,173,171,170,169,168,183,184,184,186,186,186,187,187,186,186,186,184,186,187,187,186,185,185,185,183,177,177,176,175,174,172,170,169,185,186,187,187,188,188,188,188,188,188,187,188,178,169,173,172,164,159,152,165,186,178,176,176,175,174,172,170,187,187,188,188,189,189,189,189,190,189,190,181,162,156,159,159,149,132,116,106,148,181,181,177,176,175,173,172,188,189,189,190,190,191,191,190,191,192,184,163,162,166,157,159,163,126,120,130,132,134,158,179,177,176,175,173,189,190,191,192,192,192,192,193,193,193,185,175,167,152,141,140,131,89,94,116,124,97,94,173,181,177,175,174,190,190,192,193,193,194,194,195,196,190,185,178,162,138,118,103,114,146,163,139,121,102,135,183,179,178,176,175,191,191,193,194,194,196,196,197,193,175,174,161,132,91,71,115,197,195,193,194,188,184,188,183,180,179,177,175,192,193,195,194,195,196,197,198,190,173,162,128,91,76,68,158,200,189,189,188,187,187,183,183,181,180,178,176,191,193,195,196,196,197,198,198,189,173,132,86,73,64,102,197,193,193,191,189,188,186,186,188,187,182,179,178,193,194,196,197,198,198,199,195,190,171,126,74,73,60,144,205,192,194,193,191,188,190,184,160,154,177,181,179,194,195,196,198,199,200,200,192,190,165,121,75,81,71,140,206,193,195,194,191,191,185,138,110,100,141,186,178,195,195,197,199,200,201,199,192,186,158,103,78,88,73,150,206,196,196,194,195,190,143,120,121,104,138,189,178,195,197,198,200,201,201,198,194,186,151,106,94,87,72,171,205,195,197,196,196,149,117,125,114,104,175,185,181,196,198,199,200,201,202,196,194,185,155,116,97,84,71,132,212,199,196,202,162,102,109,118,96,141,193,183,183,196,198,199,200,201,204,195,192,183,153,119,97,82,82,83,128,185,205,167,121,104,103,99,100,188,187,185,183,197,199,201,201,201,203,195,191,177,151,126,96,82,84,89,85,107,137,106,108,118,99,92,169,192,186,186,184,198,201,202,202,203,203,194,190,177,151,120,94,81,83,88,96,99,92,95,107,100,101,177,197,188,189,187,184,198,200,201,202,204,203,190,195,187,148,120,99,81,85,89,92,101,104,97,101,97,181,198,189,190,189,187,184,200,201,201,202,204,200,189,201,183,144,119,100,82,85,91,93,100,106,98,79,166,203,190,191,189,188,187,185,200,202,202,204,205,196,192,199,174,137,118,103,83,85,94,98,101,103,85,139,203,194,193,193,191,189,188,187,200,202,203,204,207,195,193,193,167,134,120,103,83,87,97,101,104,89,103,204,197,196,195,194,192,190,188,187,201,202,203,204,205,193,194,185,158,136,121,102,83,87,99,98,98,74,165,207,197,197,196,194,193,192,189,189,201,202,204,205,206,192,188,173,150,132,116,99,82,87,98,97,74,126,210,199,199,198,196,194,193,192,190,189,200,202,203,205,203,192,181,169,148,129,114,97,83,88,96,75,110,204,202,200,199,198,197,195,193,192,190,188,201,202,203,205,201,190,173,163,140,123,109,95,85,82,70,115,203,207,201,202,200,199,198,195,194,193,191,188,200,202,204,204,202,186,170,160,138,120,104,93,75,87,159,208,206,203,202,202,201,199,199,195,194,193,191,188,200,202,203,201,199,182,168,156,139,117,100,84,72,175,220,203,204,205,203,202,200,198,198,195,194,192,190,188
15,144,113,116,93,43,143,18,0,31,29,30,35,41,44,59,77,94,108,113,117,127,136,141,146,149,153,158,162,144,114,125,84,57,147,0,0,34,30,33,36,41,44,60,80,97,110,115,121,130,138,145,148,153,157,160,164,145,120,135,72,76,147,0,0,36,30,35,40,43,44,63,83,100,113,119,124,132,142,148,152,157,161,164,169,142,124,140,64,95,139,0,0,37,31,35,39,41,47,66,86,103,116,121,126,135,145,152,157,161,165,168,172,142,125,141,52,118,126,0,4,34,29,35,41,48,50,72,94,110,121,124,129,141,150,155,161,165,170,174,176,137,139,135,72,116,108,39,64,64,72,85,87,84,58,58,76,96,117,127,134,145,154,168,171,168,174,178,182,132,156,117,89,91,88,91,74,64,74,69,63,54,64,64,59,64,72,84,98,98,90,107,148,184,183,180,186,138,131,83,77,77,72,63,55,57,59,59,55,57,74,79,75,71,68,66,83,93,76,60,43,93,173,199,191,143,141,101,60,68,52,56,50,58,63,63,61,67,82,82,79,70,63,71,87,87,83,75,55,32,43,131,199,143,152,109,65,163,27,0,43,41,46,49,53,66,80,83,76,64,67,82,85,76,81,73,63,58,42,26,71,148,158,92,83,180,0,0,43,32,35,37,41,42,64,87,122,98,81,80,82,83,81,75,67,66,70,51,26,153,166,80,104,170,0,0,43,34,35,38,43,45,61,102,163,138,102,88,80,68,75,69,72,71,88,65,44,154,168,69,122,161,0,0,45,34,35,39,42,46,61,150,140,111,60,53,67,40,43,69,73,83,102,74,58,155,165,64,141,145,0,9,43,33,36,40,45,37,103,162,108,92,48,0,15,0,1,111,98,104,95,70,68,157,161,57,156,127,0,19,43,33,36,41,39,58,172,133,90,67,40,0,0,0,8,140,125,116,78,60,69,159,154,57,173,110,0,29,43,35,35,40,30,106,191,133,81,56,6,0,0,0,43,143,143,130,83,53,61,166,149,60,183,88,0,37,41,35,36,41,33,77,175,154,102,62,0,0,0,0,55,133,157,138,89,55,50,176,140,67,197,69,0,43,39,34,36,39,43,41,150,180,139,77,15,0,20,35,39,124,148,117,82,55,34,184,132,78,210,52,0,47,38,34,34,38,43,43,103,201,165,97,27,0,0,63,112,130,110,76,69,49,23,190,117,92,212,31,0,50,37,32,32,35,38,49,74,184,181,145,124,114,114,134,110,86,61,46,50,44,27,194,105,110,209,10,0,49,33,31,30,34,35,50,70,143,193,150,130,125,135,130,74,40,42,36,38,46,51,196,92,129,201,0,0,47,31,30,29,33,36,47,82,172,135,98,95,105,137,128,57,30,32,25,42,46,38,194,83,151,188,0,0,48,31,29,28,34,38,39,122,176,105,95,99,95,123,121,67,30,46,156,78,7,1,188,76,169,174,0,0,36,19,18,18,24,29,34,120,153,98,80,78,74,102,102,71,17,156,248,90,8,8,182,73,181,158,36,61,77,61,54,49,45,46,59,94,122,112,128,125,65,41,95,63,36,145,249,99,17,10,174,78,186,163,122,78,94,94,92,88,90,94,91,88,90,103,112,170,130,38,104,102,73,130,171,83,28,15,165,81,193,162,101,58,80,76,78,78,82,81,83,82,79,85,76,115,170,86,70,91,89,85,89,61,24,23,156,89,198,155,101,70,84,85,86,86,86,87,89,91,93,95,93,89,116,105,93,97,98,99,105,66,6,0
10,138,143,146,149,152,156,158,161,163,165,166,167,168,168,169,169,170,171,171,170,170,170,170,170,171,171,171,171,141,145,148,152,156,159,161,164,166,168,169,171,172,171,172,172,173,173,173,173,173,173,173,172,174,173,172,172,144,148,151,155,158,161,164,167,170,171,173,174,174,174,176,176,176,176,176,177,176,176,175,175,176,176,176,174,146,151,154,158,161,165,168,171,173,175,176,177,178,178,178,178,179,172,172,180,179,179,178,179,179,179,178,178,149,153,157,160,164,167,171,174,177,179,179,180,181,181,181,180,186,171,135,181,181,181,181,182,182,182,182,181,152,155,159,163,166,170,173,176,179,180,181,182,183,184,183,184,187,188,137,159,184,184,184,186,185,185,185,183,153,158,162,165,168,172,175,179,181,182,184,184,185,186,186,187,187,198,166,133,186,187,187,187,187,187,186,186,155,159,164,167,171,174,178,181,183,184,185,187,187,188,187,180,183,203,197,144,172,189,189,189,189,189,188,188,158,162,166,169,173,177,181,183,185,186,187,188,190,190,195,159,131,194,213,171,139,192,192,193,193,192,192,191,159,163,167,171,175,180,182,184,186,188,189,191,192,191,199,181,129,147,212,188,124,184,194,195,194,194,194,194,160,165,169,174,178,180,183,186,188,190,192,193,194,194,197,216,184,146,170,191,132,166,195,196,196,196,196,196,162,166,170,175,179,181,185,187,189,191,193,195,195,200,196,188,214,162,109,169,144,142,197,197,198,199,198,198,163,167,172,176,180,183,186,188,191,193,194,195,199,205,178,124,169,171,117,106,123,115,199,200,200,200,200,199,164,167,173,176,181,184,186,190,193,195,195,196,217,201,155,93,87,166,142,89,80,86,184,202,202,201,201,201,164,169,174,178,182,185,188,192,194,195,197,198,216,190,120,59,48,136,155,116,74,76,141,203,203,203,202,202,166,170,174,179,182,187,190,193,195,196,204,207,193,215,180,98,48,132,165,153,102,79,114,205,205,204,202,202,167,171,174,179,184,187,191,194,196,197,209,219,205,187,209,159,92,166,187,171,119,77,99,204,207,206,206,204,168,172,176,180,183,188,192,194,196,197,199,203,215,175,174,199,143,177,190,168,125,79,94,204,208,208,208,206,167,171,175,179,183,187,190,193,195,196,198,176,187,161,127,174,140,185,199,165,122,84,92,204,208,208,208,207,167,172,176,179,183,186,189,194,195,196,204,203,178,159,134,142,210,220,202,164,113,85,96,203,207,207,206,206,168,172,175,180,184,187,190,193,195,196,205,220,193,162,155,185,228,219,194,152,106,88,101,206,208,207,206,206,168,172,175,180,185,187,190,193,195,197,199,216,204,192,184,203,224,205,179,141,103,97,97,204,208,207,207,207,167,172,176,180,184,187,191,194,196,198,200,210,210,204,201,192,219,192,169,141,122,114,98,203,208,208,208,208,161,166,171,176,181,185,188,192,194,196,199,204,214,212,208,177,205,186,175,154,142,119,107,204,208,208,209,209,102,106,110,116,120,123,128,133,137,141,144,159,211,214,201,180,180,179,187,166,137,107,112,191,196,198,199,201,95,96,97,97,96,95,95,97,99,99,101,104,182,198,187,178,170,175,197,171,130,99,94,108,112,115,117,120,97,97,98,98,99,102,103,103,101,101,102,102,138,190,178,177,177,178,188,167,126,95,99,104,104,105,104,104,95,95,97,97,97,99,100,103,102,101,100,101,112,187,185,178,182,175,176,169,125,94,105,111,110,112,111,113
10,85,92,104,109,113,117,121,123,126,128,129,132,133,134,135,137,141,141,142,143,144,147,147,148,148,148,150,151,85,94,105,110,114,119,121,123,128,129,130,133,134,135,136,139,124,140,144,144,146,148,147,148,150,150,151,152,87,96,106,111,114,119,122,124,128,130,131,133,136,137,141,152,101,124,149,144,147,149,150,150,152,152,153,152,90,98,108,112,116,120,123,126,129,131,132,134,137,137,147,158,107,107,150,145,148,149,150,152,152,154,154,154,91,99,109,113,117,120,124,127,129,132,133,136,138,137,146,157,117,98,149,146,150,152,152,152,154,155,155,156,90,101,111,114,117,122,125,127,129,132,134,135,139,141,142,157,130,96,145,149,150,153,153,153,155,156,156,157,92,101,112,114,118,124,126,127,130,133,133,145,124,127,145,162,144,97,134,154,150,152,152,153,156,156,157,158,93,103,112,116,120,125,127,129,131,133,134,151,122,84,143,160,148,103,117,157,150,153,153,155,157,157,158,159,96,106,112,116,121,124,128,132,137,135,144,141,119,70,124,158,144,105,106,158,152,154,154,157,157,158,159,159,96,107,114,117,119,130,127,119,115,115,134,153,130,90,100,161,131,104,97,157,153,155,155,157,159,159,159,160,96,106,113,117,118,137,115,83,71,70,72,135,147,105,75,147,113,103,90,154,154,156,158,159,160,160,161,161,98,109,114,118,121,123,104,79,63,77,75,98,150,120,74,126,94,99,85,149,157,157,159,159,160,162,162,162,99,109,113,116,122,126,126,121,111,90,75,83,148,132,83,97,78,94,79,141,160,157,159,160,161,163,163,163,99,109,114,119,123,128,127,151,163,106,57,102,157,138,93,66,74,91,81,129,163,158,161,160,161,162,162,162,101,110,114,119,125,127,126,153,157,111,52,95,172,136,104,64,72,91,82,113,166,159,161,160,162,163,162,163,101,111,115,121,122,137,148,149,164,120,43,101,184,135,109,70,71,87,80,97,166,160,161,161,163,164,164,164,103,112,115,121,118,148,165,145,157,118,47,139,170,136,103,71,63,81,77,84,165,160,162,163,163,165,165,165,104,113,116,121,122,134,163,140,147,114,113,178,148,139,103,72,65,77,68,98,168,159,162,163,164,164,165,165,104,112,116,120,124,127,140,122,132,134,168,174,146,133,109,77,68,74,62,133,166,160,163,164,165,165,165,166,104,112,115,120,124,127,139,119,134,168,181,169,148,125,106,81,70,66,73,158,161,161,163,164,165,166,166,166,106,113,116,119,125,126,150,152,128,159,182,162,143,123,104,82,70,57,100,168,159,162,163,164,165,165,166,166,107,113,116,119,126,124,160,168,128,139,181,161,144,119,105,84,70,56,129,166,160,162,163,165,166,166,166,166,107,113,117,122,127,125,165,172,145,159,175,159,144,120,105,88,67,68,156,160,160,162,164,166,165,166,167,167,107,112,116,122,127,126,172,180,153,163,172,159,146,122,107,90,60,98,168,158,161,164,165,166,166,166,166,167,107,112,117,122,127,125,170,176,159,163,165,164,155,125,106,89,58,130,165,159,162,163,164,165,167,167,167,168,108,111,117,122,127,125,165,169,152,164,161,165,160,129,104,82,68,155,161,160,162,163,164,165,167,167,168,168,108,111,117,122,127,128,155,157,154,163,162,165,158,127,103,72,97,166,159,161,163,164,166,167,167,167,167,168,108,113,118,123,127,129,145,155,163,170,160,161,154,124,99,67,131,165,159,161,163,165,166,167,167,167,168,169
3,73,62,20,49,75,90,99,111,118,124,128,132,135,138,140,143,145,147,150,151,153,155,156,158,160,160,160,161,78,59,22,54,79,92,102,113,120,126,131,134,137,138,141,144,147,147,146,153,155,157,158,159,160,162,163,163,83,55,24,59,82,94,105,115,122,127,132,135,137,140,143,146,149,153,118,145,157,158,160,161,161,163,164,164,83,47,27,62,84,95,106,116,123,128,133,136,138,140,144,148,153,163,110,133,158,159,161,162,163,164,165,165,84,39,32,65,85,97,107,118,124,129,133,137,139,143,146,149,156,163,107,131,159,160,162,164,164,165,166,166,83,33,38,68,87,98,109,119,125,131,135,138,141,144,147,150,160,165,108,135,160,161,163,164,165,166,167,167,81,28,43,71,89,99,111,121,127,133,137,141,144,146,145,146,165,155,105,138,163,164,165,166,167,168,169,168,77,25,48,74,91,101,113,123,129,134,138,141,142,166,157,130,153,134,99,140,165,166,167,167,168,169,169,170,72,24,53,78,93,104,115,124,130,134,152,159,137,147,171,138,117,123,96,148,166,167,168,168,169,171,172,172,64,25,58,80,94,105,116,125,131,136,161,182,163,125,142,146,120,132,101,156,166,168,169,170,171,173,173,173,56,27,61,83,96,107,119,126,137,168,158,134,151,132,115,160,145,129,97,150,168,168,170,172,173,174,174,175,47,31,64,84,98,109,120,126,144,180,164,129,113,137,108,110,119,133,101,118,164,170,172,173,174,174,175,176,38,35,68,86,100,110,121,126,151,158,124,137,126,127,124,80,97,146,139,109,138,173,173,174,175,176,176,176,29,40,70,88,100,111,122,127,157,149,99,105,104,100,106,100,100,138,154,112,134,175,175,176,176,177,178,177,22,45,73,89,101,112,123,128,161,154,128,105,84,94,108,118,108,143,157,109,147,177,176,177,177,178,178,179,18,50,75,90,101,113,122,128,169,162,128,98,86,104,124,127,122,161,162,110,158,176,176,177,178,179,179,180,18,54,77,92,103,113,123,130,169,155,116,95,96,115,137,143,158,176,154,107,162,176,177,178,179,180,180,181,20,57,78,93,104,114,124,130,167,160,126,104,100,121,146,167,183,170,140,104,164,177,179,179,180,181,181,181,24,59,81,95,105,115,124,129,166,166,135,110,105,122,158,187,186,155,119,109,172,179,180,180,180,180,181,182,28,62,82,95,106,116,125,129,164,173,148,117,112,128,173,188,180,151,103,114,176,179,180,180,180,181,181,181,32,64,83,95,105,116,125,130,157,172,151,128,121,133,179,186,171,144,97,125,178,179,180,181,181,181,182,182,36,67,83,95,105,116,124,131,147,164,155,143,133,138,174,177,160,135,93,143,179,179,180,181,181,182,182,182,40,69,85,96,106,117,124,131,139,160,161,151,143,134,159,161,146,121,97,162,179,179,181,181,182,183,182,182,44,70,86,96,106,117,124,131,138,164,166,153,139,127,140,145,136,115,112,174,179,180,181,182,182,183,183,182,48,71,86,96,106,117,125,132,139,174,171,152,135,124,134,134,132,106,141,178,178,180,181,182,183,183,183,183,51,72,86,96,107,117,125,132,142,182,173,154,138,130,140,130,119,102,164,177,179,180,181,182,182,183,183,183,55,74,87,97,107,117,124,132,144,183,181,165,139,141,146,122,100,111,172,177,179,180,182,182,183,184,184,184,58,75,88,98,107,117,124,132,144,184,187,168,139,146,141,115,89,122,175,177,179,180,182,182,183,185,186,185
0,238,239,241,240,240,243,244,244,244,245,243,244,244,243,243,242,244,249,244,244,244,244,244,244,242,242,243,242,240,241,242,242,241,242,244,244,245,247,245,244,245,246,247,253,228,206,242,250,243,251,247,247,247,244,245,246,242,244,243,244,244,244,244,245,247,248,247,248,239,210,232,255,211,173,167,201,189,204,249,224,212,249,246,249,242,244,245,245,247,247,245,246,247,248,252,255,241,196,172,248,219,207,148,119,178,159,184,210,149,255,246,248,244,245,246,246,248,248,249,247,250,223,249,255,237,217,172,250,236,215,163,134,199,175,144,203,147,248,251,250,245,245,247,248,249,250,244,255,255,200,180,255,251,229,172,244,255,222,168,149,218,174,123,184,140,232,255,250,245,245,247,250,250,251,245,255,255,222,184,240,255,230,170,228,255,227,162,154,224,166,105,171,140,170,255,247,246,246,248,250,252,247,255,255,255,239,201,196,255,227,164,204,255,220,153,126,199,156,94,159,165,106,243,255,247,248,249,252,249,255,255,228,255,252,207,163,255,229,164,162,255,202,138,98,164,142,88,161,178,98,210,255,249,250,251,252,249,255,248,199,254,255,209,147,244,226,158,126,225,186,138,96,140,126,88,181,188,110,209,255,250,250,252,251,252,255,250,213,230,236,192,129,200,210,153,100,190,180,139,93,143,121,118,217,205,120,212,255,247,248,250,248,255,255,230,190,188,220,180,121,167,203,147,79,162,183,125,91,166,120,173,237,205,121,217,255,246,247,249,245,255,255,244,200,151,208,176,108,153,202,148,73,160,196,126,180,216,155,177,237,205,124,231,255,245,249,251,248,255,255,250,210,146,148,183,124,141,215,162,82,151,206,204,235,221,192,151,198,202,123,238,255,248,250,252,248,255,255,255,225,184,131,159,154,137,222,185,171,225,235,232,218,203,180,160,140,156,111,236,255,250,251,252,248,255,255,255,235,204,185,170,177,201,217,234,255,255,246,228,214,191,162,152,131,119,103,233,255,249,251,253,249,255,255,255,246,223,211,198,186,204,231,246,254,255,252,230,209,187,157,138,128,113,108,249,255,247,250,253,250,255,255,255,255,242,228,208,199,197,223,241,250,247,243,226,201,183,154,133,122,103,187,255,255,248,251,254,249,249,255,255,255,255,236,213,203,201,222,245,255,243,233,219,198,176,148,128,102,170,255,255,255,237,238,244,246,237,255,255,255,255,237,218,203,202,225,251,251,239,227,215,193,167,141,110,136,255,255,255,255,144,145,150,157,145,244,255,255,253,239,222,205,198,226,245,236,220,209,198,179,153,133,104,199,252,246,252,251,125,127,127,129,105,204,255,249,244,242,230,211,194,221,238,223,202,182,168,155,139,123,122,139,145,142,138,154,134,134,135,138,117,187,255,234,243,246,231,211,194,214,236,216,187,154,139,132,119,125,134,124,119,139,196,245,132,130,130,134,120,175,255,227,245,244,226,213,197,209,228,208,165,129,121,114,132,134,133,152,209,255,255,255,132,130,129,135,123,169,255,242,246,239,219,210,199,195,207,194,144,118,112,122,131,150,229,255,255,255,255,247,129,129,131,134,121,161,255,255,252,237,217,212,206,184,197,185,132,115,111,121,178,255,255,255,255,255,255,255,133,130,131,134,123,159,255,255,255,234,218,215,207,176,190,180,127,106,103,201,255,255,255,255,255,255,255,255,134,131,132,135,122,159,255,255,254,227,213,214,210,172,180,173,126,86,168,255,255,255,255,255,255,255,255,255
12,120,121,122,123,124,125,125,126,129,129,128,131,134,132,131,132,134,134,133,134,133,133,133,133,133,133,133,134,120,122,123,124,125,125,125,127,129,126,130,124,120,133,134,128,119,125,135,133,134,135,135,134,134,134,134,135,122,122,123,124,125,126,126,129,127,145,147,117,89,93,146,126,103,83,129,139,137,136,136,135,134,134,134,134,122,123,123,124,126,127,130,125,144,173,152,111,99,73,139,121,106,84,88,108,116,135,135,134,135,135,136,135,122,123,124,125,126,127,128,126,159,146,146,124,125,77,117,133,117,87,67,95,79,88,138,136,137,138,137,137,123,124,125,126,126,128,128,132,167,126,133,136,119,80,108,142,122,81,76,104,91,55,119,144,137,138,138,137,124,125,126,127,130,129,128,140,172,125,136,117,94,63,54,114,95,68,86,117,99,66,115,143,137,138,138,137,124,126,128,129,128,132,123,118,148,92,128,122,102,70,37,62,57,44,129,130,97,67,129,141,138,140,139,137,125,126,128,127,132,149,127,102,89,78,103,126,119,119,103,96,82,50,105,108,76,66,140,139,140,140,139,138,126,128,129,124,157,163,134,115,81,80,99,105,103,119,123,122,122,87,48,56,57,83,147,140,140,139,138,138,127,131,125,143,163,158,146,121,91,81,108,95,75,94,98,124,142,117,79,41,46,108,149,139,140,139,138,138,128,130,125,167,145,145,151,128,98,77,77,86,71,73,81,135,144,135,115,64,45,127,146,141,141,139,139,138,128,125,142,162,122,111,141,130,108,87,69,78,70,83,101,133,139,141,133,95,58,137,144,143,141,140,140,139,128,125,155,152,134,115,111,136,112,86,69,79,69,80,89,124,145,136,137,119,74,138,144,142,141,141,140,140,128,126,163,157,142,118,86,124,119,86,71,68,71,82,102,115,127,141,125,129,83,119,149,140,143,142,142,142,127,127,158,134,111,93,72,86,130,99,91,62,81,83,119,141,130,130,119,113,96,87,150,142,143,143,143,143,127,129,165,145,127,109,93,78,110,118,118,80,87,102,141,145,142,128,112,101,94,76,148,144,143,144,143,143,129,130,170,153,131,113,104,87,83,107,101,91,99,135,154,147,142,127,112,96,78,88,150,142,144,144,143,143,130,132,172,155,135,121,110,88,86,108,83,94,122,154,155,146,139,126,114,96,68,102,152,143,145,145,144,144,130,134,175,157,140,128,117,94,89,115,99,118,148,163,154,144,134,124,113,96,63,113,152,144,144,145,144,144,129,138,180,157,140,132,122,107,92,109,113,130,162,164,154,142,130,123,111,91,60,128,149,144,144,144,144,144,127,140,181,159,145,136,123,119,101,106,123,130,168,160,149,139,129,122,105,85,67,140,148,145,145,145,144,144,128,138,177,162,153,138,128,123,114,103,128,130,169,156,143,137,129,120,103,77,75,146,144,145,146,146,145,145,132,133,167,166,158,145,134,129,123,106,126,131,164,154,135,131,127,116,101,70,92,153,144,146,146,145,145,145,133,130,159,170,158,148,138,134,125,110,116,128,158,151,133,129,125,108,97,62,117,151,143,146,147,145,145,145,133,128,152,174,159,151,142,135,125,114,113,118,149,148,131,126,121,108,90,66,137,148,146,146,147,146,145,145,133,129,144,178,163,151,142,131,120,115,115,114,136,141,122,119,117,111,77,82,151,144,146,147,147,146,146,145,132,128,147,181,159,144,138,128,118,111,115,115,128,132,118,115,117,105,66,112,153,144,146,147,146,146,147,145
18,137,138,141,143,145,148,150,151,153,154,156,158,157,157,158,159,158,158,159,160,161,162,163,163,163,163,162,163,139,141,143,145,148,151,152,153,157,157,159,160,160,160,161,161,160,160,162,163,164,164,165,165,165,166,165,166,141,143,146,148,150,152,154,157,159,160,161,162,163,163,164,164,164,164,165,166,166,166,167,167,168,168,167,166,143,145,148,150,153,155,157,159,161,163,164,165,166,166,166,166,166,166,167,167,167,168,169,168,169,170,170,170,146,147,150,153,155,157,159,161,164,165,166,167,167,168,170,168,168,169,169,170,171,170,172,169,171,172,172,173,147,148,151,155,157,158,161,164,166,167,168,168,170,171,171,171,171,171,157,154,169,172,152,130,145,172,175,175,150,151,154,157,159,161,163,166,167,168,169,171,172,172,172,172,172,173,143,136,159,173,142,92,105,135,178,175,152,153,156,159,161,163,166,168,169,171,172,173,174,174,174,173,172,163,157,156,172,162,160,114,84,86,172,178,153,156,159,161,163,166,168,171,172,173,174,175,175,176,179,153,152,146,157,158,154,137,179,133,86,64,148,182,155,158,160,163,165,168,171,173,174,175,176,177,173,187,184,138,114,123,140,129,106,144,190,147,103,67,132,183,157,159,162,164,167,170,172,174,176,177,177,183,138,138,175,139,117,99,133,100,71,179,194,159,119,72,130,185,158,161,164,165,168,172,174,176,177,177,189,197,130,98,170,154,139,102,171,118,74,191,202,176,135,81,134,187,159,161,165,167,170,174,176,178,178,190,187,194,147,113,145,169,145,103,146,138,108,174,203,185,139,91,96,188,160,163,167,169,172,175,177,179,184,191,156,191,170,134,113,169,147,113,83,128,181,194,186,164,133,100,68,170,162,165,168,170,173,176,179,179,194,195,154,182,177,140,100,148,149,121,141,180,186,191,163,148,131,109,70,153,164,166,170,172,175,178,181,185,194,173,139,153,155,122,83,111,130,152,195,190,178,171,151,137,127,103,75,172,165,168,172,174,177,179,181,185,203,178,142,134,114,89,60,67,131,196,201,186,169,156,143,119,109,84,103,190,167,171,173,176,178,181,183,184,202,182,157,128,86,75,49,73,187,200,191,178,165,153,125,103,87,70,157,193,170,172,174,177,180,183,184,186,203,191,171,139,106,126,96,161,203,200,190,174,160,141,108,88,76,89,190,195,169,172,176,178,180,184,185,191,205,199,167,140,156,151,145,207,204,198,182,165,150,123,94,79,71,126,196,197,171,174,177,180,182,184,186,196,203,203,158,156,168,141,186,215,207,192,173,157,137,105,81,76,74,174,198,198,173,176,178,181,184,186,186,196,206,201,163,163,170,132,209,210,208,183,161,142,118,90,74,68,120,195,198,198,174,177,179,182,185,187,189,188,198,200,171,171,164,145,211,210,196,171,152,128,99,79,72,77,181,200,199,200,175,177,180,183,186,188,191,188,190,192,181,181,159,174,195,198,178,155,139,115,89,78,67,127,201,200,200,201,175,179,182,185,186,189,192,191,183,189,183,187,168,171,177,181,166,148,127,106,86,74,82,185,201,203,201,201,177,181,184,186,188,190,192,193,181,193,188,179,165,152,165,176,166,139,115,97,81,69,144,201,203,203,203,203,177,181,183,186,189,191,193,195,178,185,168,157,153,143,163,170,160,133,103,88,72,89,190,202,204,204,205,205,178,181,183,187,190,192,194,195,185,176,153,156,154,169,173,171,153,128,100,83,66,133,202,204,205,205,206,206
4,188,187,187,186,185,184,183,183,183,182,181,181,181,179,177,176,175,175,173,171,169,169,167,165,163,164,164,162,189,189,188,187,186,186,186,185,184,183,182,182,181,179,177,177,176,175,174,173,172,169,168,167,166,164,164,163,189,189,188,188,189,188,186,186,187,186,185,183,182,181,179,179,176,174,174,174,174,171,171,169,168,165,164,163,191,190,190,189,190,190,189,189,188,187,186,185,185,186,184,180,180,182,175,173,173,173,172,170,168,167,166,164,193,193,193,192,191,190,190,189,187,187,187,177,167,170,169,176,156,152,178,178,176,176,171,170,169,168,167,166,194,194,194,192,192,191,191,189,189,189,188,176,167,163,141,115,122,115,122,170,166,169,178,170,171,169,168,165,195,195,193,193,193,194,193,192,190,177,177,161,125,95,146,98,61,124,110,88,92,86,138,179,170,169,168,165,196,195,194,195,195,194,193,193,187,185,176,164,131,63,107,107,49,101,108,60,65,80,72,175,172,170,169,167,196,196,196,195,196,195,195,194,192,150,111,137,161,88,96,125,115,105,88,52,94,107,62,144,181,170,171,169,196,196,198,197,197,196,196,193,195,160,87,46,167,134,100,127,153,134,94,97,94,116,81,131,184,170,170,170,197,199,197,197,198,198,197,197,185,133,81,24,82,113,66,87,102,130,108,107,97,107,82,102,185,171,172,171,199,200,199,199,198,198,197,198,177,138,114,89,54,63,64,55,44,93,123,105,95,95,93,73,174,175,172,171,200,200,200,199,198,200,199,197,183,165,133,94,59,63,79,69,73,68,80,89,94,122,120,62,147,182,171,170,200,201,201,199,200,201,199,197,187,154,112,83,58,63,72,83,102,87,62,79,155,147,126,74,112,186,170,171,202,202,202,202,202,202,197,199,186,148,110,73,57,63,78,97,100,91,99,116,130,148,144,101,85,183,172,172,203,203,202,203,203,202,199,197,190,163,127,84,63,72,86,104,103,109,144,162,143,147,150,109,65,171,176,172,204,204,204,205,205,204,202,196,186,165,136,94,65,71,91,115,125,134,152,158,154,139,119,97,53,164,178,173,204,205,205,205,205,204,203,195,185,175,148,111,75,69,93,118,139,156,166,162,143,128,104,69,63,178,176,174,204,205,205,205,205,205,203,194,180,180,156,124,94,71,80,133,154,171,170,158,134,115,93,42,114,188,174,174,205,205,205,205,205,206,204,192,176,175,160,131,102,80,82,148,165,170,164,147,122,104,73,52,174,179,177,176,206,206,206,204,204,204,205,189,171,170,168,141,108,95,94,154,165,163,155,135,110,93,47,114,191,177,178,176,206,206,206,205,205,205,207,188,169,172,170,146,119,105,105,154,162,159,141,117,100,74,53,176,183,180,177,176,207,206,205,207,206,206,207,194,176,180,174,151,127,103,103,153,154,147,128,99,86,42,117,195,180,181,179,178,207,205,204,207,206,208,208,199,179,185,170,151,134,107,97,142,142,130,108,89,57,60,186,185,182,182,180,179,207,207,207,209,208,207,208,199,189,184,168,155,138,117,100,122,127,111,93,72,35,154,194,183,182,182,181,179,207,208,209,209,208,207,209,200,190,180,166,151,136,125,109,107,114,97,79,35,108,200,184,185,183,182,181,179,208,208,209,210,209,208,206,194,189,181,169,160,149,136,121,100,100,84,53,65,192,189,188,186,185,183,181,179,208,209,209,210,210,211,196,185,190,181,166,163,148,131,122,100,89,73,39,143,200,186,188,186,185,183,181,180
22,176,178,179,180,180,180,181,182,181,182,183,183,182,182,182,182,181,182,183,181,180,180,179,178,156,77,35,30,178,179,181,182,182,183,184,184,184,185,186,186,185,185,185,185,185,185,185,184,182,182,181,180,161,68,41,46,180,182,183,184,185,186,186,186,187,187,188,187,187,187,188,187,188,188,187,187,186,185,184,182,178,106,46,55,182,184,185,186,186,187,188,189,189,189,190,190,189,188,190,190,189,190,188,188,188,187,186,185,182,142,54,50,184,186,187,188,188,190,191,192,192,192,192,192,195,173,179,192,192,193,184,162,191,190,189,187,186,177,68,42,186,188,189,190,192,192,193,193,194,194,193,193,204,168,156,195,195,197,187,126,190,191,192,189,187,157,92,35,188,189,191,193,193,194,194,194,196,196,195,196,206,167,145,198,197,196,176,120,189,193,194,191,196,129,115,85,188,190,192,194,194,194,196,196,197,197,198,198,212,181,137,198,198,197,179,126,187,195,196,196,189,117,148,146,190,193,195,196,197,196,198,198,199,200,199,199,215,201,135,198,200,198,184,134,190,197,196,203,174,122,153,179,192,193,195,198,199,198,199,200,200,200,200,201,211,218,139,195,201,197,179,138,194,200,199,212,170,130,178,177,193,194,196,197,198,199,200,200,201,201,201,202,208,227,146,179,203,196,178,136,193,201,203,209,156,147,193,157,194,195,197,199,200,200,201,200,201,202,202,202,208,231,178,150,203,199,187,143,192,201,211,195,135,163,197,169,195,196,198,199,201,201,202,202,203,204,204,204,206,228,196,136,196,190,186,145,195,205,213,183,122,182,199,191,196,198,200,201,201,202,202,204,205,204,205,206,205,219,194,149,162,148,177,160,200,212,206,166,130,197,200,198,196,198,199,200,201,201,202,204,205,205,206,207,209,226,208,177,172,110,144,168,187,188,183,141,161,202,201,200,196,196,197,200,200,201,202,203,203,204,205,205,220,213,219,180,186,148,125,126,145,149,147,120,192,203,201,200,195,196,199,200,201,202,203,203,203,204,205,206,219,185,200,179,156,181,172,122,105,124,121,123,202,202,201,199,195,197,200,200,201,202,203,203,204,206,206,214,222,198,181,175,112,164,179,158,114,98,103,131,203,201,200,199,195,197,200,201,201,202,204,204,205,207,207,219,217,182,146,168,109,95,162,182,158,106,90,146,203,203,201,200,196,198,200,201,200,202,204,204,206,208,206,217,217,179,149,143,121,88,141,201,194,151,97,163,204,204,202,201,168,172,175,179,181,185,188,191,194,197,198,210,225,185,156,123,135,149,191,198,209,177,130,133,204,205,203,202,102,102,104,106,106,107,110,110,113,116,118,175,228,206,156,132,154,206,219,211,204,178,144,112,161,164,166,172,101,101,102,103,102,102,102,103,103,104,104,165,231,224,156,143,152,216,224,218,196,166,125,99,108,128,157,184,103,101,101,102,103,103,103,104,104,104,107,161,227,226,158,158,149,218,228,217,190,158,112,137,192,204,208,215,101,100,100,100,102,102,103,104,105,106,107,140,224,226,172,172,148,212,230,206,180,145,103,161,204,202,203,214,100,101,100,100,101,102,102,104,105,104,105,118,215,222,187,171,153,197,217,186,161,125,99,159,178,194,200,202,99,100,100,101,102,101,101,104,104,103,104,107,197,217,192,162,150,171,201,168,134,108,100,175,147,160,182,197,99,100,101,101,105,102,101,103,104,104,104,105,187,202,176,151,137,136,177,149,116,98,115,187,143,144,171,194
21,0,37,53,59,68,82,99,108,117,122,127,130,133,135,138,147,146,147,149,150,153,155,156,156,157,158,158,158,0,41,54,61,70,84,100,110,118,123,127,130,133,143,141,113,147,150,152,154,155,156,158,159,159,160,160,160,4,45,55,63,70,87,103,112,120,124,129,135,130,164,150,62,137,156,153,155,157,159,161,162,162,161,162,162,11,48,56,64,72,89,105,113,121,126,131,135,132,167,151,72,130,159,156,158,157,160,162,162,163,163,164,164,19,51,57,65,75,92,106,114,121,127,132,137,133,167,149,74,123,162,155,160,161,163,165,166,165,169,167,167,25,53,57,67,77,94,107,118,124,128,135,139,134,167,156,85,118,166,157,161,163,165,168,165,117,129,176,169,33,54,59,69,79,98,109,119,126,130,136,140,137,165,158,93,106,169,161,163,166,166,171,148,84,111,180,169,39,54,61,70,81,98,110,120,127,134,138,140,138,164,156,99,91,167,162,165,167,173,166,124,81,160,175,171,44,55,63,70,82,101,112,120,128,134,138,140,140,171,169,101,86,167,162,166,168,176,153,96,114,182,172,174,47,56,64,72,84,105,113,122,129,135,139,143,142,178,175,113,94,169,165,168,170,158,127,85,166,178,175,175,51,58,64,73,87,104,114,124,130,135,139,142,138,165,156,107,89,165,164,170,172,150,89,118,186,175,177,176,52,58,66,74,88,106,116,124,130,137,141,176,137,124,124,86,84,165,166,171,171,132,81,168,180,177,178,178,53,58,68,76,91,107,116,124,133,135,148,185,131,87,79,66,88,149,158,163,156,85,123,186,176,179,179,179,54,60,68,75,92,109,118,126,133,137,175,139,110,83,50,61,90,133,146,142,108,79,176,178,179,179,180,180,54,60,68,76,94,110,119,129,128,174,188,160,128,108,59,49,77,108,123,109,66,133,189,177,181,181,181,181,55,61,69,78,97,109,118,127,133,184,175,196,173,131,73,48,72,86,105,84,80,183,180,181,181,181,181,181,55,62,71,80,98,110,120,122,153,157,155,188,174,104,68,57,62,76,86,63,131,190,180,182,183,183,183,183,55,63,72,80,101,111,124,124,172,168,132,101,135,103,75,61,57,64,67,61,165,185,183,183,183,183,183,183,57,64,72,82,100,111,123,127,174,136,98,82,126,123,84,61,59,56,61,63,171,184,183,185,186,186,185,185,58,66,71,82,101,113,121,137,185,143,137,119,119,148,95,75,65,58,55,64,174,186,184,185,186,187,187,187,58,66,73,83,102,114,120,145,185,158,142,109,182,182,110,100,71,54,53,74,181,185,185,185,186,186,186,187,58,66,74,86,104,114,119,150,197,170,128,144,214,167,117,103,73,55,51,86,188,184,186,186,186,186,187,188,59,68,74,87,103,114,119,151,197,148,128,161,189,141,103,94,79,60,46,115,195,183,186,187,187,187,188,188,61,68,72,87,105,115,122,147,178,141,140,155,178,137,115,84,77,61,49,146,190,183,187,187,188,189,189,189,60,67,72,88,105,116,122,141,160,160,155,151,181,133,126,92,62,59,55,166,188,184,187,187,189,190,190,190,60,66,74,91,105,114,125,133,164,184,138,155,174,121,108,86,60,52,69,178,186,186,188,188,189,189,190,190,59,65,71,90,103,112,125,128,162,176,138,133,152,103,84,67,58,43,90,185,181,186,189,188,189,190,190,190,58,65,69,88,101,112,123,130,148,156,136,134,133,103,86,72,60,38,106,188,178,184,186,185,186,188,189,189
16,183,184,183,184,184,185,185,185,185,186,186,185,185,186,186,186,186,186,186,187,187,185,186,187,187,186,186,186,184,185,185,185,185,186,186,186,187,187,186,186,186,186,186,187,187,187,187,189,189,187,187,188,188,188,188,187,185,185,186,186,187,186,186,187,188,189,187,188,187,187,188,187,188,188,189,190,189,189,189,189,189,189,189,188,185,186,186,186,187,187,187,188,189,188,189,189,189,189,188,190,192,192,190,189,189,189,190,189,190,190,190,189,185,186,187,187,188,188,188,188,189,189,190,190,190,189,187,175,174,173,188,195,189,190,190,190,190,190,189,189,185,186,186,188,189,188,189,188,189,189,187,182,179,192,200,162,146,139,128,164,196,194,189,191,190,191,190,189,185,186,187,188,189,190,190,190,190,190,185,165,174,204,200,177,162,150,123,96,126,179,197,190,191,191,190,190,186,186,188,189,190,190,189,183,176,207,196,173,188,205,192,183,173,151,117,111,92,101,154,198,190,191,191,190,187,187,188,189,191,188,198,180,181,200,194,179,191,206,180,174,166,145,105,115,103,98,90,145,198,191,192,191,188,188,189,190,191,188,210,190,185,193,193,190,185,195,169,169,157,134,102,106,99,102,101,86,147,201,190,193,189,189,189,191,189,190,197,190,179,194,198,193,188,192,172,166,149,121,100,97,94,100,101,98,83,169,200,193,188,188,189,189,192,194,188,195,190,186,200,194,191,201,184,168,143,113,96,89,90,98,98,98,87,120,201,192,187,187,188,187,199,192,187,197,202,188,194,193,192,199,187,164,132,107,88,78,93,102,101,97,91,100,193,193,187,188,189,188,193,194,191,191,200,188,195,199,198,197,186,155,120,100,70,75,93,104,106,108,91,110,198,192,188,189,189,190,189,196,200,193,202,196,170,206,203,195,187,149,110,78,50,76,90,98,112,108,93,118,201,191,188,188,190,190,190,196,201,203,179,191,174,197,203,196,189,143,100,53,46,68,81,96,118,101,92,124,199,191,189,189,189,190,191,190,191,210,155,163,193,189,198,201,184,136,94,53,42,55,74,104,124,98,88,148,201,193,189,189,190,190,190,190,180,190,207,184,179,188,201,204,179,134,90,67,55,48,80,122,124,99,89,164,201,194,190,190,191,191,191,191,184,171,193,190,183,187,203,204,174,128,87,81,83,67,99,145,134,103,86,163,201,194,181,183,185,186,188,191,194,182,183,184,175,168,197,202,171,120,89,90,90,76,118,164,159,121,84,170,201,192,119,123,125,127,130,134,136,138,140,140,119,121,187,203,170,112,93,96,96,89,128,166,171,145,93,158,198,205,108,108,108,107,106,107,106,105,105,106,107,101,184,208,171,109,112,104,99,99,134,164,176,170,116,151,212,224,113,113,114,113,111,113,113,113,113,113,117,101,174,213,166,115,153,119,111,99,122,156,171,180,138,160,213,220,111,111,112,112,112,112,113,112,113,113,116,104,153,210,162,123,180,134,123,113,99,136,166,162,132,120,213,207,111,111,111,113,113,113,113,112,114,115,117,105,144,222,153,138,197,154,137,127,109,98,137,143,114,141,187,190,110,111,110,110,111,113,113,112,114,114,117,105,142,217,123,174,203,169,150,141,120,98,97,105,107,195,154,170,110,110,110,110,112,112,112,112,114,113,114,111,122,141,161,207,199,178,161,149,128,103,96,91,102,212,186,154,109,111,110,112,112,110,111,113,114,113,113,115,110,114,201,208,203,184,166,155,136,108,97,93,104,216,210,187
2,102,105,108,112,114,116,117,120,122,123,125,126,128,129,129,132,129,134,135,137,138,138,138,139,138,139,140,140,103,106,109,112,115,116,119,120,122,123,125,127,129,128,132,131,90,112,129,135,106,123,144,138,140,140,140,140,103,105,111,113,116,117,119,121,123,125,126,127,126,132,133,106,67,76,117,117,75,91,132,139,140,140,141,141,104,106,111,113,116,117,120,122,125,126,125,129,137,131,103,75,58,69,92,93,86,87,76,132,142,140,141,141,105,108,111,114,117,118,121,124,126,127,129,145,143,109,67,60,62,71,69,83,91,91,57,97,148,140,141,141,106,109,112,115,118,120,122,125,127,126,141,148,120,80,50,49,58,72,69,84,85,79,74,127,146,142,143,143,108,110,113,116,119,121,122,126,125,134,152,118,79,53,45,38,57,82,92,79,97,109,132,147,144,145,144,145,107,110,114,117,120,121,124,125,123,149,138,87,56,53,53,51,74,78,80,121,147,146,147,144,145,146,145,146,107,111,114,117,120,123,125,122,141,148,112,77,52,54,54,64,62,88,131,147,143,143,145,145,146,146,146,146,108,110,115,118,120,124,123,129,152,126,87,52,48,48,60,68,81,149,144,143,144,145,146,147,147,147,147,146,108,111,115,118,123,125,123,152,145,106,72,55,57,49,63,62,115,147,142,144,145,146,147,148,147,147,148,148,110,114,116,119,125,122,143,166,139,101,74,64,62,58,56,83,144,143,144,145,146,147,148,148,147,148,150,150,111,114,118,121,123,121,165,156,124,94,67,61,59,63,63,130,146,143,145,146,147,147,148,151,150,150,151,150,111,114,118,122,122,135,174,148,115,84,63,59,58,60,87,148,144,145,146,146,147,148,149,149,149,151,151,151,112,115,118,122,119,158,168,138,107,76,60,59,61,59,117,148,144,146,146,146,148,150,150,152,153,151,153,151,111,116,120,120,131,175,158,130,102,73,59,60,60,52,131,148,144,146,146,148,149,151,152,141,126,117,129,155,111,116,121,117,157,173,149,121,94,67,57,61,61,54,94,151,146,145,146,150,155,147,127,121,116,90,100,157,112,117,119,127,174,160,138,116,91,66,56,58,61,69,66,105,147,150,151,149,134,125,125,117,97,112,149,153,112,118,113,152,173,151,133,108,85,64,54,58,66,74,84,75,87,119,126,120,112,118,128,90,120,160,153,153,113,115,120,172,163,150,125,100,82,65,52,62,73,84,94,93,83,101,111,125,129,123,99,92,156,152,153,154,114,111,146,173,153,141,117,102,85,65,52,73,90,102,107,102,97,111,122,121,111,102,105,142,156,154,153,154,113,117,168,160,152,138,118,105,85,65,58,87,102,106,112,109,99,108,108,96,115,140,155,155,154,154,153,154,107,141,173,155,150,137,116,102,84,67,64,97,105,104,111,113,84,82,109,140,156,156,153,153,154,155,155,155,113,170,164,153,147,132,110,98,84,67,68,101,103,99,112,92,91,129,152,153,152,152,154,154,155,155,155,155,144,173,153,150,145,121,97,88,75,64,79,95,103,98,95,110,149,154,151,151,152,153,152,154,155,155,155,155,167,158,148,139,133,112,93,82,70,70,82,86,97,88,121,151,148,149,152,152,153,153,152,154,156,155,155,155,158,151,142,130,133,99,83,80,73,78,67,79,111,135,150,147,149,151,152,152,153,153,153,154,155,155,155,155,153,148,136,125,134,93,75,81,80,71,88,131,144,148,147,149,147,150,152,152,153,153,153,155,156,156,155,155
4,221,220,221,219,218,218,216,216,216,215,214,214,214,212,211,210,208,208,206,204,202,202,200,198,196,197,196,194,222,222,222,221,219,219,219,219,217,216,216,215,215,213,211,211,209,208,207,206,205,202,201,200,199,197,197,196,222,222,222,221,222,221,220,220,220,219,218,216,216,214,213,212,210,207,207,207,207,204,204,202,201,198,197,196,225,224,223,222,223,223,222,223,221,220,219,219,218,219,218,213,213,215,208,207,206,206,206,203,201,200,199,197,226,227,227,226,224,223,224,222,220,221,221,210,200,203,203,210,189,184,211,212,209,209,204,203,203,201,200,199,227,228,227,225,225,225,225,223,222,223,221,209,200,196,173,147,154,147,154,203,199,202,211,203,204,202,201,198,228,228,227,226,227,228,226,225,223,210,211,194,157,126,179,130,92,157,142,119,124,118,170,212,203,202,201,198,230,229,228,228,228,228,227,226,220,218,209,197,163,94,139,139,80,133,140,91,97,111,104,209,205,203,202,200,229,230,230,229,230,229,228,228,225,183,143,170,194,120,128,157,148,137,120,84,126,139,93,176,214,203,204,202,230,230,231,230,230,230,230,226,228,193,119,77,200,167,132,159,186,166,126,129,126,148,113,163,217,203,203,203,231,232,231,230,231,231,230,230,218,165,113,55,113,145,97,119,134,162,140,139,129,139,113,134,218,204,205,204,232,234,233,233,232,232,231,232,210,171,146,121,85,94,95,86,75,125,155,137,127,126,125,104,207,208,205,204,234,234,234,232,231,233,232,230,216,198,165,126,91,94,110,100,105,99,112,121,126,155,152,93,179,215,204,203,234,235,234,233,234,234,232,230,221,187,144,114,90,94,104,115,134,119,94,111,188,179,158,106,144,219,203,204,236,236,235,235,236,235,231,232,219,180,142,104,88,94,109,129,132,123,131,148,162,181,176,133,117,216,205,205,237,237,236,237,237,236,232,231,224,196,159,116,94,104,118,136,135,141,176,195,176,179,183,141,96,204,209,205,238,237,237,238,238,237,235,229,219,198,168,126,97,102,122,147,157,166,185,191,186,172,151,129,84,197,211,206,238,238,238,238,239,238,236,229,218,208,180,144,107,100,124,150,172,189,199,195,175,160,136,100,94,211,209,207,237,238,238,238,238,238,237,228,213,213,189,157,126,102,112,165,187,204,203,191,167,147,125,73,146,221,207,207,239,239,239,238,238,240,238,226,209,209,193,163,134,112,114,181,197,203,197,180,154,136,104,84,207,212,210,209,239,239,239,237,237,238,239,222,204,203,201,174,140,127,125,186,198,196,188,167,142,125,78,146,224,210,211,209,240,239,239,239,239,238,241,222,202,205,203,179,151,137,137,187,195,192,174,149,132,105,84,209,216,213,211,209,241,239,238,240,240,239,241,228,209,213,207,183,159,135,135,186,186,180,160,131,118,73,149,228,213,214,212,211,241,239,238,241,240,241,242,232,213,218,203,184,167,139,129,175,175,162,140,121,88,92,219,219,216,215,213,212,241,241,241,243,242,241,242,233,223,218,201,188,171,149,132,154,159,143,125,104,66,187,227,216,215,215,214,212,241,241,242,243,242,240,243,233,223,213,199,184,169,158,141,139,146,129,111,65,140,233,218,218,216,215,214,213,241,242,243,243,243,242,240,227,222,214,202,193,182,169,153,132,132,116,85,97,225,222,221,219,218,216,214,212,242,243,243,243,243,244,229,218,224,215,199,195,181,163,155,132,121,104,70,176,233,220,222,219,218,216,214,213
4,186,186,187,187,187,188,188,188,187,187,187,188,187,187,187,185,184,182,182,182,181,180,178,177,175,175,174,173,188,189,190,190,190,190,190,190,190,189,189,189,190,189,188,187,185,185,185,184,183,181,180,179,178,177,176,174,193,193,193,193,193,193,193,193,193,193,192,189,186,190,191,182,158,148,178,188,185,184,183,182,182,180,179,178,195,195,195,195,195,194,194,194,194,194,192,179,156,156,184,183,153,117,134,176,154,157,182,185,183,182,181,180,198,197,197,198,198,197,197,197,197,196,199,198,174,145,137,172,168,131,100,144,137,106,145,188,185,185,183,182,199,198,199,200,200,200,199,200,198,192,188,188,191,167,126,126,172,147,98,122,141,104,99,184,187,187,186,184,201,201,201,201,202,202,202,202,194,183,175,140,152,163,110,94,166,144,96,106,145,116,86,181,190,188,187,186,203,203,203,203,203,203,203,203,196,188,178,132,111,142,103,84,144,116,77,120,149,121,97,187,193,191,190,189,204,204,205,204,205,206,205,204,187,152,166,144,106,125,126,84,114,101,69,124,122,89,112,196,195,194,193,191,206,206,206,207,207,206,206,206,196,145,132,162,132,117,149,96,100,119,118,121,85,57,133,200,197,196,195,193,207,207,207,207,208,207,206,207,188,131,107,153,134,151,159,138,140,141,161,133,76,60,167,200,198,198,196,195,208,208,208,208,208,208,208,208,191,164,150,125,87,158,157,147,153,144,152,125,85,80,189,202,200,200,198,196,209,209,209,209,210,210,209,209,202,182,144,103,73,103,130,125,127,122,117,115,100,82,164,205,202,200,199,198,210,210,210,210,211,210,209,207,202,172,129,92,78,81,100,112,113,108,100,124,117,94,104,195,203,201,201,200,211,211,211,211,211,212,210,207,194,156,117,88,85,100,112,141,150,147,130,135,137,121,84,148,206,202,202,201,213,213,213,213,213,213,211,204,195,165,128,96,95,107,133,171,176,186,175,155,170,144,94,99,201,204,203,202,214,214,214,215,214,214,212,202,195,169,131,95,94,116,151,185,190,201,201,182,166,142,91,92,201,206,204,203,215,215,215,215,215,215,213,197,195,179,140,104,100,119,157,193,200,205,196,178,154,117,76,123,208,207,205,204,215,215,215,215,216,216,214,193,194,186,149,118,108,118,167,200,208,206,187,165,141,99,71,170,211,208,206,205,216,215,216,217,217,217,217,192,188,187,158,126,112,123,175,206,208,198,177,153,130,85,92,202,210,208,207,206,216,216,217,217,217,217,217,196,176,179,159,130,115,129,184,203,197,186,165,138,113,74,139,213,210,209,208,207,215,216,216,217,217,217,218,208,174,178,165,135,126,134,187,195,186,173,150,122,93,77,187,215,212,210,208,208,215,215,215,216,216,216,217,216,186,178,170,149,143,132,181,185,180,158,133,106,73,116,211,213,212,210,208,208,215,215,216,216,216,216,216,218,199,177,172,160,144,124,163,172,168,142,111,84,72,178,213,210,209,209,208,207,216,215,216,217,217,217,217,219,207,181,170,155,138,123,144,152,141,114,85,62,130,213,213,212,211,210,209,208,216,216,217,217,217,217,218,219,209,188,173,154,136,125,133,140,119,89,65,80,196,216,214,213,211,210,209,208,216,218,217,217,217,217,219,219,200,189,175,158,144,135,131,134,118,83,59,136,218,216,215,214,211,210,209,209,216,216,217,217,217,217,219,215,188,187,178,169,163,149,137,128,110,77,67,176,218,216,214,214,212,211,209,202
4,180,180,180,180,180,180,179,179,177,175,175,174,175,176,173,172,172,169,167,167,166,165,165,165,162,160,158,158,181,181,181,181,181,180,180,180,179,177,176,176,176,176,174,169,168,170,168,167,167,167,166,165,163,162,159,158,183,183,183,182,182,181,181,181,181,179,169,158,160,168,169,147,125,138,169,170,168,169,166,165,164,162,160,159,185,185,184,183,183,182,183,183,181,181,172,164,151,135,133,138,130,106,136,150,136,144,164,166,165,164,162,161,185,185,184,185,185,185,184,183,177,175,169,160,152,146,112,93,119,122,99,91,95,85,133,168,165,164,164,162,187,186,186,186,185,186,184,180,170,167,154,125,93,125,111,71,90,119,92,65,85,81,92,165,166,165,165,163,188,187,187,187,187,186,185,182,176,164,154,128,83,96,111,76,76,101,78,62,97,93,76,152,168,166,165,164,187,188,187,187,186,186,187,179,142,115,129,143,99,92,121,114,101,95,71,72,104,98,74,148,170,166,165,164,189,189,188,188,188,187,187,184,146,93,68,144,128,104,123,137,138,105,96,98,101,112,87,144,169,167,165,164,189,189,190,189,189,189,188,177,134,85,48,94,121,92,92,107,129,111,103,103,100,106,83,115,171,169,166,165,190,190,191,191,189,189,188,168,134,111,92,71,72,76,68,67,86,108,104,99,96,94,85,87,166,170,167,166,191,191,192,192,190,189,189,173,155,131,99,71,60,72,71,75,71,81,90,91,93,104,98,74,148,171,169,167,193,192,193,193,191,190,190,178,158,125,93,68,63,71,77,91,85,69,63,96,128,128,108,77,121,171,169,166,193,193,194,194,193,191,190,179,147,112,83,63,64,75,93,99,98,97,107,119,132,136,121,93,95,168,169,166,195,195,195,194,194,191,190,179,152,124,92,70,73,83,97,109,111,127,147,149,135,149,139,104,79,160,170,167,196,195,196,195,195,193,190,183,161,131,99,73,72,84,107,122,130,140,154,159,151,137,127,98,68,152,171,168,195,195,195,196,196,194,189,180,165,140,110,78,72,88,111,128,143,152,160,156,143,130,106,80,71,160,172,169,194,195,195,196,197,194,187,175,170,150,121,93,76,79,109,137,152,164,165,153,134,117,93,62,103,172,171,170,195,195,195,196,197,195,185,171,170,156,129,105,85,79,112,148,162,169,163,146,125,107,81,63,150,174,172,170,195,195,195,196,196,196,185,167,163,154,132,111,92,86,114,156,163,163,153,134,114,96,68,99,174,174,173,172,195,196,196,197,198,197,186,165,159,157,141,117,100,95,122,158,158,152,140,121,103,84,64,147,177,175,172,171,196,196,198,198,198,198,189,164,160,160,147,124,110,100,128,153,152,145,128,106,90,66,92,174,178,176,174,172,196,197,198,197,198,199,195,172,164,165,151,131,113,99,124,147,145,136,115,92,75,63,146,181,179,177,175,173,197,198,198,198,198,199,197,178,172,168,151,135,118,100,115,138,132,119,98,79,57,107,179,180,178,177,175,173,198,198,198,199,199,199,197,183,177,165,151,139,123,105,108,121,115,100,82,61,77,167,182,179,178,176,175,174,199,199,199,199,199,199,196,185,178,163,149,136,122,111,103,107,103,86,68,57,146,183,182,180,179,177,176,174,200,200,199,199,199,199,191,184,174,163,153,144,134,124,108,100,95,78,56,104,182,184,182,180,178,177,176,174,200,200,200,200,199,198,184,183,175,165,155,150,137,127,111,98,89,69,60,154,187,185,182,180,179,177,176,174
13,189,193,196,197,199,201,204,205,205,206,208,209,209,208,208,208,208,206,206,205,203,202,201,201,200,197,196,194,191,194,195,198,201,203,204,206,207,209,209,210,211,211,211,211,210,210,209,207,205,205,204,203,202,200,198,196,192,195,198,200,201,205,207,208,210,212,212,212,212,212,211,212,212,212,212,211,209,208,207,206,204,202,201,199,193,197,200,201,202,205,208,210,212,213,213,215,216,216,215,212,213,216,215,212,211,211,209,208,206,205,203,201,194,198,200,202,204,206,210,212,213,214,214,217,218,209,213,220,215,211,216,217,211,212,211,210,209,207,205,202,195,199,201,202,206,209,211,213,215,216,216,218,205,165,133,195,209,159,130,186,221,212,212,211,210,208,207,204,196,200,202,203,207,210,212,214,215,217,216,223,216,177,142,117,166,159,105,102,222,215,215,213,212,210,208,205,198,201,203,204,209,212,214,216,216,219,220,223,236,191,166,99,130,169,129,75,195,223,217,216,214,212,209,208,199,203,204,205,209,212,215,218,218,220,221,220,231,196,154,99,105,158,126,67,177,228,216,217,217,215,212,211,199,204,205,207,210,213,215,219,220,222,226,229,222,194,148,106,84,124,107,62,174,229,216,217,216,214,213,211,200,205,206,208,211,214,218,220,221,216,183,199,197,191,151,119,83,125,115,66,194,229,219,219,217,215,214,212,200,204,206,210,212,217,220,220,224,196,135,115,123,173,196,149,96,132,135,70,192,232,220,220,220,218,215,214,201,205,208,211,213,216,221,221,236,191,144,129,94,154,223,165,97,111,126,63,123,236,220,220,220,219,217,216,201,207,209,211,215,217,218,205,162,180,165,151,106,70,162,125,88,102,99,87,78,193,233,220,221,220,218,216,201,207,210,212,215,213,227,189,121,122,185,155,134,64,38,50,68,108,108,115,99,115,234,223,222,220,219,218,203,208,210,212,213,230,231,167,140,114,155,165,133,104,38,63,83,92,141,139,126,79,197,232,222,221,220,219,203,207,212,214,217,233,187,175,159,140,112,160,141,120,58,65,138,148,154,140,127,77,172,236,222,222,220,219,203,209,213,214,218,239,187,159,156,137,112,130,133,95,60,69,166,186,179,130,112,77,190,236,222,221,220,219,205,209,212,215,222,228,187,137,127,124,96,65,100,86,74,92,185,182,173,140,98,81,219,231,225,223,221,220,205,209,214,215,220,221,209,180,133,95,69,48,85,113,93,148,208,178,163,133,80,105,238,227,228,225,223,220,206,211,214,214,217,221,218,195,159,132,115,111,112,124,135,211,203,168,145,127,70,142,245,228,229,226,224,222,207,213,213,215,219,219,213,202,176,157,130,127,148,193,206,209,186,160,135,117,66,180,242,228,230,226,224,222,208,212,213,217,219,221,209,188,171,149,127,130,142,208,204,190,171,147,126,99,70,214,237,229,229,227,225,222,208,213,214,217,220,224,200,176,172,151,135,138,138,189,197,186,159,134,114,83,89,239,232,231,229,227,226,224,209,213,214,218,220,227,214,183,172,155,147,142,140,183,193,180,151,118,104,57,144,248,230,231,229,228,225,224,208,212,212,216,219,224,229,193,171,167,151,134,129,162,178,162,132,101,80,69,222,237,232,231,230,227,225,225,207,212,214,216,219,222,229,221,183,164,145,134,126,143,161,149,118,99,57,139,249,232,234,231,229,227,227,227,205,210,212,214,219,222,225,228,206,168,146,131,130,135,152,145,117,97,62,198,241,231,231,229,228,227,225,223
14,194,196,197,199,201,200,200,201,202,201,199,199,198,196,195,195,193,192,191,190,188,186,184,183,182,180,179,178,196,198,199,199,202,202,203,204,203,202,202,202,201,201,198,195,194,194,194,192,190,187,187,186,184,181,179,178,198,200,201,202,203,204,205,204,205,206,207,206,205,193,198,207,202,195,195,195,191,190,187,186,187,185,181,180,200,202,203,204,205,205,206,207,207,207,195,178,174,139,124,151,174,202,201,198,194,194,191,188,188,186,184,181,201,204,205,207,208,207,208,209,210,193,162,137,108,80,67,90,104,140,170,193,199,196,193,191,189,188,185,183,203,205,206,208,210,209,210,210,204,180,132,86,70,70,68,80,102,111,115,122,200,196,194,193,190,190,188,185,205,206,208,210,211,212,208,199,182,147,80,48,54,59,55,58,65,89,82,82,199,200,196,195,193,190,188,186,206,207,209,211,212,214,204,182,157,98,62,52,46,52,54,58,54,69,74,70,118,197,197,196,194,192,190,187,206,207,210,213,213,215,201,179,124,60,65,58,56,55,54,47,52,53,78,87,75,193,201,196,195,193,190,188,207,210,212,214,214,215,208,185,133,61,58,53,58,62,52,141,145,156,100,65,69,161,212,200,196,195,194,191,209,212,213,216,215,216,208,182,135,65,53,48,60,50,100,226,219,223,199,121,87,90,140,183,200,194,195,193,209,212,214,216,215,217,209,186,125,67,68,59,47,77,205,215,211,211,214,208,123,111,96,140,207,194,195,194,211,213,214,215,218,218,211,191,138,89,73,67,52,168,229,214,216,213,217,158,118,121,93,155,208,197,197,195,212,213,215,216,218,217,209,196,152,103,75,63,58,195,223,218,216,220,198,118,117,109,88,194,205,198,198,196,214,215,218,219,220,212,208,201,156,112,82,56,75,225,222,216,217,220,136,102,113,89,120,214,202,202,199,198,214,216,219,220,221,211,207,196,158,118,79,59,64,171,215,225,228,175,111,95,103,62,162,214,202,202,199,198,213,217,219,220,221,212,208,196,158,117,82,67,64,70,96,163,183,109,114,111,73,105,212,207,205,204,202,199,215,217,220,221,222,208,212,203,155,121,89,67,71,79,83,87,89,92,108,90,94,208,211,208,205,204,203,200,217,220,221,222,221,205,217,199,153,119,92,65,68,78,88,95,90,88,101,80,193,218,209,209,205,203,201,200,217,220,220,223,219,205,217,193,147,119,98,67,68,80,86,93,98,88,65,154,226,211,211,210,207,205,203,201,217,220,222,226,217,207,212,187,146,127,100,68,69,84,93,95,94,73,96,218,216,214,212,210,208,206,205,202,218,220,221,226,213,209,203,175,145,125,98,67,69,89,96,96,85,69,205,222,215,215,214,211,210,206,205,204,218,220,221,226,214,205,192,169,138,118,97,68,69,90,93,90,58,128,234,216,219,215,213,212,211,208,205,203,218,221,222,226,213,200,189,168,134,114,93,68,71,85,88,71,68,213,223,218,218,216,213,212,211,209,206,203,219,221,222,224,215,194,181,160,131,105,87,68,70,81,77,49,175,233,219,220,219,218,216,212,211,209,207,205,219,222,223,223,214,191,182,157,127,99,82,65,68,57,52,161,236,221,223,222,220,217,215,213,212,210,208,205,218,222,222,222,212,190,176,156,126,97,74,59,55,87,186,235,225,226,224,222,220,217,216,214,213,211,209,206,216,221,219,221,202,178,171,155,125,88,68,46,121,233,233,221,223,223,221,221,218,215,215,212,211,209,206,205
12,146,149,151,154,155,157,158,161,163,165,165,166,167,167,168,169,169,169,170,169,169,171,171,170,171,172,172,171,148,149,152,155,157,159,161,163,164,166,167,168,169,169,170,170,170,171,172,170,171,173,171,171,172,174,174,174,149,152,155,156,159,162,163,164,167,169,169,170,171,171,170,172,173,173,173,172,173,174,172,173,175,175,174,175,151,154,156,158,161,163,165,167,169,170,170,170,175,177,176,173,175,176,179,180,174,175,176,176,177,177,176,176,152,155,157,160,162,163,166,168,170,172,171,173,169,154,161,178,177,165,142,156,180,175,178,178,177,177,178,178,154,156,159,161,163,165,168,171,171,173,172,187,176,148,117,161,193,171,138,90,174,181,178,185,180,179,179,179,156,157,161,163,166,167,170,172,173,174,173,208,199,174,135,111,197,171,146,106,120,136,131,140,185,180,181,181,157,160,162,164,167,170,171,173,175,175,179,207,210,183,148,105,193,182,148,124,62,118,129,85,142,191,181,183,159,161,163,166,168,170,172,175,177,176,185,197,212,200,164,118,182,193,147,109,63,142,139,83,88,193,181,185,161,163,165,168,169,171,173,176,177,175,186,152,133,190,171,113,159,181,131,92,66,150,140,81,78,188,185,185,162,164,167,169,170,173,175,177,175,195,191,131,89,128,157,98,144,159,125,99,65,139,137,89,76,188,187,187,163,165,167,170,172,175,178,176,194,199,183,138,112,89,140,92,131,158,120,92,67,143,132,92,80,190,187,188,164,166,169,171,173,175,177,184,194,171,187,156,124,78,103,94,114,154,125,85,77,160,148,96,86,197,189,189,165,167,170,172,174,177,176,191,177,139,178,154,119,79,74,119,110,171,151,94,104,207,176,99,120,202,188,190,165,168,170,173,176,178,180,194,184,145,149,152,122,78,59,123,98,148,143,86,82,174,138,67,107,202,190,190,166,168,171,174,177,177,183,190,171,135,133,161,110,83,35,63,46,55,133,96,116,145,98,90,70,144,201,188,168,169,172,175,178,179,186,198,174,142,125,154,99,83,43,34,35,112,180,178,171,159,132,107,79,100,202,190,168,170,173,176,179,180,190,197,172,141,107,138,100,91,42,47,98,178,183,176,160,147,121,97,74,119,203,191,168,170,173,176,179,177,191,196,174,154,119,107,111,104,52,79,166,190,192,180,152,137,115,91,70,152,204,193,169,172,174,176,180,178,191,196,179,163,149,118,100,92,99,139,199,193,202,175,142,129,108,87,74,176,202,195,170,173,175,178,181,181,192,197,187,168,157,152,127,115,139,152,199,200,200,165,132,120,99,77,102,197,196,196,171,173,175,178,181,182,189,196,189,174,163,160,151,127,131,144,202,201,182,156,127,110,95,70,146,206,196,196,171,174,177,179,181,182,186,189,184,178,168,160,151,133,122,151,202,195,165,144,121,101,88,74,181,201,196,198,171,175,179,181,182,184,185,184,182,180,167,161,150,134,117,152,186,182,149,130,111,93,76,96,203,196,197,198,171,175,178,180,183,184,187,186,186,185,168,161,152,136,114,149,172,158,134,117,101,90,68,145,209,197,199,200,173,175,177,179,181,182,185,186,190,181,164,155,145,127,109,146,155,132,120,102,93,80,90,194,200,200,200,200,172,175,176,179,181,183,184,183,191,173,151,144,127,109,114,141,143,120,113,95,89,75,151,203,196,197,199,199,173,175,176,179,182,184,182,182,195,170,154,143,116,112,120,140,137,118,106,93,79,110,201,195,196,198,200,199
0,185,187,189,191,193,194,195,198,197,196,196,197,197,195,196,195,194,194,193,193,191,189,189,187,186,186,184,183,186,188,191,193,194,195,196,198,198,197,198,199,199,198,198,196,196,195,194,194,191,189,189,188,187,187,186,184,186,189,192,193,195,196,197,200,200,199,200,200,200,199,199,198,198,196,195,195,193,192,190,187,176,186,187,187,188,189,192,194,197,198,200,201,201,201,201,201,200,200,196,183,185,196,187,171,185,193,196,187,135,175,188,187,188,190,194,196,198,199,200,201,202,203,201,189,174,189,179,138,113,149,154,121,111,185,201,180,115,176,190,188,189,193,195,197,198,200,201,197,188,200,199,164,120,108,151,136,109,83,117,122,94,142,195,168,106,181,191,190,192,195,197,200,200,201,200,187,139,131,183,158,122,90,133,143,125,93,112,129,105,127,184,161,99,167,192,191,193,195,198,200,201,202,204,186,153,113,149,167,130,109,126,155,128,99,106,130,103,102,175,149,90,133,193,193,194,196,199,201,201,214,201,197,170,134,114,176,136,110,104,158,125,94,101,125,95,71,147,140,90,95,194,193,195,197,199,200,206,208,185,207,174,140,97,161,134,105,89,155,123,83,79,103,82,69,125,141,90,94,194,194,196,198,200,202,218,215,168,197,166,144,91,131,134,105,79,143,111,71,60,78,71,82,145,137,86,122,196,195,196,199,201,205,218,203,173,172,140,114,74,109,128,93,65,102,81,64,68,77,70,101,150,132,82,153,196,196,197,200,202,206,210,188,158,157,120,84,64,104,97,74,66,85,77,63,79,80,76,129,147,131,81,180,196,196,197,201,203,205,223,216,190,154,111,102,74,101,96,63,68,103,84,72,100,96,104,142,149,119,86,194,198,197,198,201,204,206,225,224,205,174,124,106,82,117,119,74,95,120,127,145,145,138,126,139,121,97,97,200,199,199,199,201,204,207,224,226,211,188,153,123,113,108,117,155,178,179,176,170,155,145,126,106,93,77,115,202,200,200,198,202,205,207,222,225,211,185,160,133,121,136,158,190,187,188,175,165,151,138,119,86,79,69,161,202,201,200,198,200,203,205,217,220,207,188,171,145,128,148,171,189,185,181,168,155,144,127,107,82,69,126,199,202,201,200,198,200,203,206,211,216,205,190,175,152,138,160,167,180,180,171,157,142,130,115,95,72,103,196,203,202,201,200,199,202,205,207,208,213,204,192,176,155,138,148,160,165,175,161,147,133,119,103,81,85,186,205,204,203,202,200,199,202,204,207,207,208,203,191,176,154,133,127,144,151,158,149,138,124,105,84,79,175,205,205,204,204,202,200,200,202,204,207,209,208,206,190,178,152,121,114,128,135,133,128,123,107,87,79,163,205,206,205,206,204,201,189,199,201,204,207,210,204,188,183,169,136,108,113,119,122,112,102,98,83,110,176,205,207,206,205,204,199,144,84,186,188,189,165,183,211,189,175,157,139,127,122,112,112,98,83,69,138,190,196,196,196,190,181,184,129,59,44,120,121,110,51,127,207,197,182,165,153,138,119,100,100,85,69,61,105,112,114,112,94,70,59,64,49,37,33,116,115,85,63,76,151,178,179,170,151,128,106,89,85,71,55,71,100,93,70,50,37,31,34,35,34,30,27,118,112,73,68,63,70,105,142,148,135,110,92,79,72,55,36,54,74,49,36,32,28,23,24,28,33,30,28,117,102,71,67,62,59,56,73,99,100,84,72,61,52,34,14,5,19,34,25,24,26,22,20,21,29,30,30
12,193,195,195,196,197,198,199,200,199,200,200,201,201,201,201,202,202,201,202,201,200,201,201,201,200,200,200,199,195,196,197,199,199,199,201,201,200,201,201,202,202,202,202,203,202,202,203,203,202,201,201,202,201,201,201,201,195,196,198,200,200,201,203,203,202,203,203,204,204,203,204,205,205,205,205,204,203,203,203,203,203,202,202,202,196,198,199,200,201,202,204,204,203,203,204,205,205,204,205,206,207,207,206,206,205,206,205,205,204,205,203,203,199,200,201,202,202,202,205,206,204,204,206,207,206,214,207,201,208,207,208,208,207,207,207,207,206,206,205,205,201,201,203,203,204,205,206,207,206,215,217,203,213,229,216,170,183,216,209,194,208,207,208,208,208,207,208,206,201,202,204,205,206,207,207,205,221,249,232,190,202,237,221,155,133,217,208,158,176,211,209,210,209,209,209,208,202,203,205,207,207,207,208,203,230,255,237,189,190,242,220,164,123,214,200,153,127,209,212,211,210,210,211,210,202,205,207,208,208,209,209,207,235,250,237,189,185,245,215,179,149,217,186,137,109,195,216,213,212,211,211,210,204,207,208,208,209,207,223,232,208,219,234,213,166,240,225,177,168,220,193,131,102,184,218,214,213,213,213,212,204,207,208,209,210,212,251,234,186,173,210,199,142,226,218,146,172,225,177,121,100,178,220,215,215,214,213,212,207,208,211,211,208,232,255,240,204,150,182,150,105,150,152,119,181,188,133,100,98,176,222,216,217,215,215,214,208,210,211,212,209,245,251,245,213,167,149,144,92,87,106,181,208,184,140,137,125,181,223,217,217,217,215,215,210,211,214,213,214,248,228,241,220,187,135,114,117,106,182,247,243,218,186,180,151,183,224,219,218,217,216,216,210,213,213,213,222,254,238,220,220,192,147,109,115,170,255,251,240,220,190,173,143,164,226,221,219,217,217,217,212,214,214,212,236,255,242,200,214,191,160,119,111,237,255,250,239,221,194,161,131,164,228,222,221,219,218,219,213,215,216,212,242,255,248,224,197,192,197,150,149,255,254,249,238,217,182,155,126,166,228,222,223,221,220,221,215,216,218,215,234,255,251,228,195,174,191,187,219,255,251,249,237,211,180,153,128,147,227,223,224,223,221,222,215,216,218,215,236,255,253,235,219,204,187,228,249,255,247,247,237,207,184,147,125,139,229,225,223,223,222,222,216,217,219,217,239,255,254,246,235,228,211,231,241,255,242,240,230,209,179,143,115,162,231,226,224,224,224,223,216,218,220,218,236,255,255,252,242,231,218,225,231,251,238,228,221,209,167,136,111,204,228,226,227,225,226,224,217,219,221,221,228,255,255,253,244,226,216,223,225,243,231,219,216,198,155,120,139,231,226,226,227,227,227,225,217,219,222,223,223,251,255,251,240,221,211,221,223,235,225,216,206,178,136,107,197,232,229,228,228,227,227,227,219,221,223,226,223,247,255,242,231,216,211,220,226,241,228,212,191,155,112,144,234,230,229,229,229,228,228,227,215,210,206,199,187,196,191,167,162,160,158,163,159,165,153,144,138,121,99,209,242,232,232,231,231,230,230,229,159,156,147,138,121,111,108,100,92,85,78,75,63,61,61,59,57,60,64,116,179,231,233,230,230,230,230,230,138,139,139,131,119,110,106,98,91,84,79,70,61,59,59,57,53,51,48,43,53,210,233,230,230,229,228,228,152,137,138,129,118,110,104,98,91,81,77,69,62,59,59,57,52,48,49,40,103,232,230,231,230,229,228,228
12,153,157,161,162,166,169,170,171,173,174,174,175,178,180,179,179,179,179,179,179,179,179,177,176,175,175,175,173,155,158,161,163,167,169,171,173,173,174,175,177,179,180,180,180,181,180,180,180,179,178,178,178,177,176,176,174,156,159,163,165,167,169,171,173,175,177,178,179,179,180,180,180,180,181,180,180,180,180,180,179,179,177,177,177,157,159,163,166,168,170,172,175,177,178,179,183,179,176,197,181,158,168,182,182,182,180,181,180,180,179,179,177,158,161,165,167,169,172,174,177,178,178,195,215,195,163,191,198,152,128,177,183,181,181,181,181,181,179,179,178,159,162,165,168,170,173,176,179,180,179,218,237,215,174,145,186,169,122,162,194,166,162,180,182,181,180,179,179,159,162,166,169,171,174,177,179,180,179,217,224,221,195,166,139,162,144,142,196,158,123,157,184,182,181,181,180,160,163,167,170,173,175,177,179,180,181,207,190,183,199,166,114,147,150,109,146,152,110,122,182,184,182,181,181,160,164,168,171,173,176,178,178,193,205,173,151,163,182,168,147,159,130,89,112,132,104,108,179,185,182,181,182,161,165,169,172,174,177,177,194,231,208,154,115,136,183,190,186,172,144,122,154,123,99,108,180,185,183,183,184,162,166,170,172,174,177,179,223,226,198,159,111,90,155,174,175,185,193,180,168,117,91,118,185,186,185,185,185,162,166,170,173,176,176,198,221,210,207,169,118,67,96,123,154,185,214,203,167,114,82,140,188,187,186,186,185,164,167,171,173,176,178,218,213,201,211,178,132,74,73,78,110,176,203,207,181,147,106,162,189,187,186,186,185,163,167,171,174,175,199,222,202,185,213,198,151,84,77,90,139,197,197,187,164,158,129,141,189,187,187,187,186,162,166,171,173,175,222,227,199,163,178,207,167,103,86,154,203,205,191,178,148,140,127,125,186,188,187,188,187,163,167,170,171,176,230,230,199,159,143,178,193,140,153,218,207,197,184,169,142,122,111,137,188,189,187,187,187,164,168,171,173,182,237,232,203,183,176,150,157,168,222,231,209,192,181,158,138,112,103,157,191,190,188,187,187,164,168,172,173,184,238,231,212,206,194,168,169,215,236,232,211,181,167,147,133,108,107,176,191,191,190,188,187,164,169,172,173,183,234,234,223,213,199,181,178,221,234,222,201,171,151,140,126,104,125,188,192,191,190,188,188,163,168,170,174,180,228,238,228,213,197,183,180,215,225,209,185,158,145,140,116,102,157,193,192,192,191,189,187,162,166,170,174,174,214,233,222,209,199,188,186,207,212,192,168,151,146,136,108,121,185,193,192,191,190,188,187,161,166,169,173,173,198,226,211,201,196,188,184,199,205,184,160,146,140,124,105,159,190,190,189,189,187,187,187,138,139,141,142,141,172,220,198,193,192,182,171,188,202,179,151,135,127,112,105,137,142,140,139,139,138,138,139,103,102,102,103,99,140,218,193,192,194,181,168,179,195,164,131,120,115,104,96,95,95,94,93,93,93,92,93,108,107,106,107,104,141,223,200,202,199,182,168,173,189,152,122,111,106,102,101,99,99,98,96,96,95,95,95,108,107,108,109,106,141,228,211,215,207,187,169,164,183,150,122,105,100,101,102,102,99,98,97,98,96,96,95,109,108,108,110,107,135,225,220,222,207,186,165,156,177,150,120,103,98,101,102,101,100,99,99,98,98,97,95,108,109,109,109,107,126,218,220,218,198,180,165,152,168,145,115,101,98,101,101,100,99,99,99,100,98,95,102
4,142,145,148,150,152,155,156,159,159,161,161,162,164,164,164,165,164,164,162,162,163,162,162,161,161,160,160,159,143,146,149,151,154,155,157,159,161,162,162,166,166,164,162,163,168,165,165,164,164,163,163,162,162,161,161,160,145,148,150,153,155,156,159,161,162,162,161,157,163,177,162,126,135,171,166,166,165,164,164,163,163,163,161,161,145,149,150,153,156,159,160,163,161,175,168,137,128,193,169,129,90,171,172,169,167,167,165,165,165,164,163,163,147,150,153,156,158,160,161,161,157,199,189,149,103,168,174,130,83,125,141,152,172,167,167,166,166,165,164,164,148,151,155,157,158,158,168,183,165,144,188,169,114,144,181,131,67,83,130,99,144,174,166,168,167,166,165,165,149,152,155,158,160,161,190,196,171,103,165,171,109,121,169,118,63,90,134,103,81,171,170,169,168,167,166,165,149,152,156,159,160,164,186,178,162,100,150,154,102,95,139,107,60,107,143,107,68,161,173,169,168,168,168,166,149,154,157,158,160,161,185,163,165,103,135,144,99,72,114,97,71,155,148,98,69,164,174,169,168,169,168,167,151,154,157,159,162,162,189,157,149,137,122,148,129,76,100,79,78,154,122,71,69,173,173,169,169,170,169,168,152,155,158,161,163,163,196,184,153,116,86,160,144,139,128,119,121,141,132,89,70,177,174,172,171,171,170,168,153,156,160,161,162,167,199,179,149,109,79,94,98,152,133,146,161,172,165,111,86,179,174,174,172,172,171,170,153,157,160,162,162,174,197,159,125,104,88,74,68,99,134,143,156,161,150,109,82,171,175,174,173,171,172,171,153,157,160,163,160,181,197,162,131,100,80,78,87,87,108,123,123,130,136,119,73,144,182,173,173,172,173,172,154,157,160,164,160,186,196,166,131,104,90,85,91,112,106,111,133,139,149,131,82,112,187,173,174,173,172,172,154,158,161,165,162,191,193,160,123,98,92,85,87,120,117,150,171,171,175,143,101,77,174,177,175,175,173,173,155,158,162,165,164,193,191,159,125,103,93,92,94,118,133,178,188,181,185,154,112,64,140,186,175,178,174,174,156,158,162,166,165,191,184,160,130,116,104,97,96,116,174,186,190,174,168,143,107,64,133,188,176,177,176,175,156,158,161,165,164,188,179,160,136,117,104,100,103,152,197,193,180,165,142,121,87,72,167,181,177,177,176,174,155,157,161,164,163,186,185,162,127,107,101,108,126,186,197,189,165,144,122,98,66,115,185,176,177,176,176,174,156,157,161,164,164,182,191,164,135,133,115,117,146,195,190,176,151,128,105,78,71,171,180,177,177,177,176,174,156,158,161,164,165,176,186,170,148,144,126,104,158,194,177,158,136,115,91,59,120,189,178,179,178,177,176,175,156,159,161,165,166,175,190,173,149,145,128,103,166,183,158,138,114,95,74,68,173,182,179,178,178,177,176,175,156,159,161,167,162,177,198,181,156,140,117,104,162,165,140,119,95,82,52,122,189,178,179,179,178,178,176,175,157,159,161,166,159,195,196,172,147,125,96,111,151,135,105,91,79,58,77,179,179,178,179,178,178,177,175,174,157,160,165,162,173,204,188,172,152,119,105,125,135,102,81,78,68,66,164,185,180,181,180,180,180,180,178,178,148,149,153,149,191,195,188,177,150,126,120,123,119,90,83,87,63,126,173,166,169,169,169,169,169,170,169,168,103,102,95,124,198,180,171,162,134,123,133,107,96,84,80,76,69,97,98,98,98,97,97,97,98,101,102,100
4,97,112,127,133,140,144,148,151,154,156,160,163,164,167,170,171,175,174,176,178,178,179,181,180,180,181,181,182,97,115,129,135,141,145,150,152,155,159,163,163,167,170,169,174,172,177,179,181,184,182,182,182,184,183,184,183,100,118,129,136,142,147,151,155,157,159,161,164,158,163,178,182,151,139,176,170,166,186,184,184,185,185,186,184,102,120,131,138,144,148,153,157,158,154,172,202,165,143,178,199,148,93,136,161,101,129,190,185,186,186,188,187,104,121,132,139,144,148,153,157,165,173,148,171,202,145,130,185,133,88,90,138,108,78,175,192,187,188,190,189,105,124,134,140,145,149,155,154,194,189,159,127,146,136,101,145,119,79,92,141,107,67,168,195,188,190,191,191,107,125,134,140,146,150,151,171,207,198,175,147,93,97,93,165,135,64,138,146,89,68,186,192,190,192,192,192,110,126,135,142,147,152,150,190,174,164,170,122,85,75,90,175,133,117,167,121,61,90,198,193,192,194,195,194,112,127,137,143,148,153,153,202,155,149,157,90,72,83,63,112,144,183,161,139,89,113,206,192,194,194,195,195,117,129,136,144,149,152,162,210,169,169,144,95,58,112,128,145,163,161,140,150,127,116,196,195,195,196,196,196,118,130,135,144,152,151,176,202,152,137,130,101,43,143,164,147,147,124,142,169,148,119,135,203,194,200,199,198,121,131,137,147,152,148,188,191,145,118,103,71,45,66,111,112,106,72,140,176,168,152,102,154,207,197,201,201,120,132,138,147,153,153,212,195,156,132,111,86,63,55,62,68,96,142,145,168,179,157,124,93,186,204,201,201,124,133,138,147,151,161,224,187,160,145,110,88,75,87,119,149,185,199,181,170,156,148,137,95,142,212,200,202,127,133,139,150,149,172,231,194,178,148,109,103,87,126,177,196,204,197,175,161,135,122,127,92,151,211,202,204,128,134,140,150,146,187,231,198,174,135,115,112,103,168,198,204,207,203,173,147,122,104,101,105,195,204,205,205,128,133,141,152,147,191,229,194,162,134,131,117,132,189,195,202,205,189,159,135,114,98,85,163,211,203,205,205,129,133,141,151,147,193,226,188,166,155,149,133,160,189,193,198,192,169,146,122,108,84,117,210,205,206,208,208,130,134,142,150,149,191,218,192,185,175,158,151,179,186,192,185,170,156,130,114,98,86,189,211,206,208,209,210,130,135,143,151,151,179,218,202,195,175,155,149,173,180,178,165,150,139,117,106,83,147,216,206,206,209,210,210,131,136,144,152,153,169,214,196,188,172,149,133,151,162,162,152,135,123,110,89,109,207,207,208,208,209,209,210,131,138,146,152,157,165,210,188,173,161,141,133,145,157,155,138,119,111,97,86,183,211,207,209,210,211,211,212,130,138,146,152,158,161,201,175,160,151,135,143,139,149,152,132,115,104,76,153,214,206,209,209,211,211,212,212,131,138,147,153,156,171,202,176,163,157,158,163,138,131,139,120,106,85,111,208,206,209,211,211,212,212,212,212,132,138,148,152,161,213,183,170,174,164,161,151,132,121,127,111,99,78,174,212,207,210,211,211,212,212,212,213,133,139,148,148,201,211,207,129,144,172,153,139,127,113,113,105,94,77,193,209,208,210,210,211,212,214,213,215,132,142,143,170,220,202,210,192,89,132,140,128,120,99,104,98,86,79,198,208,208,210,212,212,212,214,215,215,133,141,146,209,206,204,203,214,166,73,109,122,108,85,97,92,84,77,196,211,209,210,212,214,214,215,216,216
13,141,144,149,156,161,165,168,171,174,176,180,183,185,187,189,190,192,193,193,194,194,195,194,194,195,194,193,193,142,146,151,157,163,167,170,173,175,178,181,184,187,189,191,192,193,190,190,194,195,196,196,196,196,196,195,195,144,147,153,160,165,169,172,175,178,180,184,187,189,191,196,205,200,174,161,178,187,193,197,198,198,197,197,196,146,149,155,161,166,171,174,178,180,183,186,189,191,189,195,212,206,163,122,124,148,162,185,198,199,199,198,198,147,151,156,162,168,172,175,179,182,185,188,195,192,171,163,179,198,163,113,100,132,124,146,195,200,200,200,199,149,152,158,163,169,173,176,180,183,185,185,206,207,176,145,142,180,180,128,106,137,115,127,192,202,201,201,200,150,154,159,165,171,175,178,182,189,184,161,179,212,201,158,116,140,180,136,109,145,121,136,196,204,203,202,202,151,155,161,167,172,177,180,188,206,197,156,133,180,211,174,114,92,134,121,109,159,133,155,202,205,205,204,204,152,156,163,169,174,178,184,201,210,209,177,126,133,198,173,114,64,74,86,103,152,133,171,205,206,206,206,206,153,158,165,171,175,181,196,202,188,203,186,131,102,169,162,109,59,59,90,120,135,118,152,201,208,208,208,207,154,160,168,173,177,187,209,200,172,183,169,120,87,144,159,114,67,87,133,146,131,115,124,183,209,209,209,208,157,163,170,176,180,195,210,189,159,164,148,104,70,125,167,126,95,146,172,156,124,106,109,155,206,210,210,209,159,165,173,179,184,206,211,186,152,144,134,98,59,103,164,135,139,184,179,152,121,102,99,143,206,212,212,212,160,167,176,181,187,213,220,196,161,130,121,95,72,111,173,173,186,191,170,141,115,95,96,161,210,213,214,214,163,171,179,185,191,219,226,203,169,132,116,113,130,171,205,210,204,184,156,130,108,88,111,190,214,215,215,215,168,175,183,188,196,226,233,210,177,154,148,151,173,199,213,211,198,173,146,122,99,85,140,208,216,216,216,216,171,178,186,191,200,227,233,218,188,174,167,164,188,202,211,204,186,161,137,114,90,89,168,216,218,218,217,217,174,181,189,195,202,222,232,225,202,187,175,171,196,205,203,192,170,147,125,104,85,117,199,220,220,220,219,218,177,184,193,198,203,215,229,226,210,193,179,175,193,204,193,175,153,134,116,96,102,172,218,222,222,221,222,221,180,187,195,200,204,210,224,223,214,200,187,179,186,197,185,162,140,122,107,103,160,215,224,224,224,224,223,223,182,189,197,202,206,208,218,222,217,209,199,184,180,188,176,149,126,112,103,144,210,227,227,227,226,225,223,218,185,192,200,205,209,207,214,222,214,209,200,182,174,177,164,136,113,104,122,195,227,229,230,229,227,215,187,155,187,195,203,208,211,209,213,214,198,196,193,180,169,167,152,130,108,103,163,223,232,232,232,230,210,154,96,68,189,197,204,209,212,211,214,215,196,199,200,188,169,160,146,130,106,111,194,230,234,234,230,208,145,84,55,40,190,197,204,209,212,211,214,223,207,210,209,193,169,154,144,130,105,121,208,233,235,222,181,125,75,61,55,36,191,198,205,210,213,214,213,227,221,223,215,195,172,154,143,130,103,125,214,234,226,169,98,61,44,52,59,44,193,200,207,211,215,212,197,222,226,224,212,192,173,157,144,127,100,118,212,233,195,112,69,55,37,38,54,53,194,202,208,213,216,205,162,207,224,220,206,188,174,158,145,123,95,102,206,224,147,83,62,54,38,28,46,55
12,189,191,193,192,192,193,194,193,193,195,194,193,195,196,195,195,195,194,194,194,195,195,193,194,193,193,193,193,192,193,193,194,194,195,196,196,195,196,196,197,197,194,197,199,196,195,196,195,197,197,196,196,195,195,194,193,193,194,195,196,196,197,197,198,197,198,197,187,195,209,189,179,195,199,198,197,198,199,198,196,196,196,196,194,194,195,197,197,198,198,197,199,196,222,209,181,164,227,204,167,158,205,198,200,202,198,199,198,198,198,197,197,196,198,199,199,199,199,201,200,203,243,226,199,148,207,230,189,132,187,196,171,185,205,200,201,201,200,200,199,198,199,200,201,201,201,202,200,207,244,239,208,157,175,240,202,158,127,190,168,132,191,205,202,203,201,201,200,199,200,201,201,202,204,205,202,211,235,242,213,171,149,233,208,179,121,163,178,117,149,213,202,206,204,203,202,199,201,202,202,203,204,206,202,214,224,232,225,183,135,205,215,179,135,116,163,124,141,216,205,206,204,204,203,201,202,204,205,205,206,205,205,207,191,215,226,206,171,154,206,169,123,86,126,121,150,216,206,207,206,206,205,203,204,206,206,208,201,209,230,183,158,179,198,207,170,117,135,137,92,113,149,109,163,217,207,209,207,207,208,203,203,206,209,204,218,241,220,158,138,144,136,169,139,111,124,156,136,177,162,109,186,214,208,210,209,208,208,205,206,206,205,217,245,226,195,158,140,109,104,122,158,150,164,197,219,198,146,108,204,217,210,212,211,210,209,204,206,208,208,236,220,199,205,177,154,112,107,112,111,122,140,184,226,231,212,159,140,205,215,211,211,211,211,206,206,206,212,234,212,188,209,186,155,122,102,120,122,120,114,188,217,233,215,182,143,135,217,212,212,211,211,207,206,205,227,232,208,175,196,200,190,155,108,123,139,129,187,223,214,208,191,184,177,126,196,218,213,213,212,207,209,208,223,243,222,189,150,196,217,170,120,120,142,186,229,223,214,202,165,170,163,127,206,217,214,214,214,208,208,209,217,242,232,208,166,154,183,208,184,122,202,236,223,216,205,192,162,146,129,141,223,215,214,214,215,208,209,209,218,243,238,215,183,178,160,170,167,185,242,235,225,210,198,180,157,131,108,176,223,216,216,216,214,208,209,210,216,236,239,226,193,191,185,149,177,237,237,237,221,197,186,164,152,120,115,211,218,216,217,217,216,208,209,208,211,229,234,234,210,197,187,181,176,232,236,233,212,183,169,153,148,110,147,226,215,217,218,217,217,208,207,209,207,219,237,237,225,207,190,191,172,219,234,219,202,169,151,155,139,103,184,224,216,217,217,217,216,208,208,211,208,205,238,239,227,210,193,188,180,204,228,203,183,157,145,159,124,115,215,218,217,217,217,216,215,209,210,211,214,204,228,228,209,200,192,187,186,190,206,190,164,151,152,148,108,158,227,216,217,217,217,217,217,208,210,211,216,206,223,219,196,190,187,189,181,183,190,180,168,148,146,128,117,210,221,218,218,217,217,217,217,208,211,211,214,209,219,217,198,198,198,192,181,178,191,188,163,134,132,108,176,226,218,219,218,219,219,218,218,209,210,212,212,209,216,222,208,206,202,195,189,175,196,181,142,125,113,135,223,217,220,219,219,219,219,219,218,207,209,212,214,212,214,230,211,213,208,198,196,167,192,165,137,123,107,193,226,219,221,220,220,219,219,218,218,150,152,153,159,156,192,238,220,218,216,203,197,164,182,159,139,113,120,208,209,211,213,215,217,218,219,218,217
5,131,137,142,146,148,152,155,156,158,162,164,164,165,169,171,173,174,175,179,179,179,181,183,181,182,183,184,183,132,139,143,146,150,154,155,157,161,163,164,165,170,171,172,173,174,178,180,180,182,183,183,182,182,184,185,184,134,139,144,148,151,155,157,159,161,164,167,167,141,170,174,174,177,180,181,181,172,182,183,185,185,185,185,184,134,140,145,148,153,157,155,162,165,165,167,184,109,154,178,176,179,181,179,191,134,157,188,184,185,185,186,185,136,142,146,149,154,158,175,132,159,169,168,191,112,149,183,177,179,180,183,194,113,150,193,184,187,188,188,187,137,142,147,151,158,153,196,142,126,174,171,199,123,151,184,178,181,181,193,154,101,182,189,189,190,190,190,188,139,144,148,154,158,154,179,174,112,172,176,198,131,148,185,179,181,192,189,107,135,198,187,191,192,191,190,189,140,146,150,155,161,159,171,208,134,156,185,180,112,146,188,180,184,191,152,109,186,192,190,192,193,192,191,191,140,147,151,155,161,162,165,224,161,134,188,167,119,144,190,176,176,151,98,154,198,189,191,193,194,194,193,192,143,149,153,157,162,163,161,211,195,125,180,162,137,138,187,168,165,96,123,198,192,193,194,194,196,196,195,195,142,149,155,158,163,165,163,185,221,176,151,147,139,125,160,163,150,101,184,194,192,194,194,196,196,195,197,196,144,150,155,159,163,165,167,170,214,216,165,118,128,105,120,151,119,133,199,193,196,197,196,196,197,197,198,195,144,150,155,160,163,164,168,169,190,229,197,142,106,101,105,112,101,174,198,196,196,194,196,198,199,200,199,199,144,151,155,160,163,164,168,172,173,223,208,156,108,92,97,93,105,196,189,185,182,180,185,189,186,185,191,190,145,151,158,162,164,165,170,173,170,216,212,156,107,87,87,90,105,149,173,174,164,180,199,192,185,184,172,135,147,153,157,161,166,168,171,174,173,227,209,160,115,83,83,88,110,123,149,151,119,122,146,139,142,166,153,108,147,154,157,162,166,167,173,171,183,240,198,153,113,87,82,90,105,111,102,107,121,164,169,169,170,177,139,127,146,152,159,164,166,167,173,167,206,239,185,148,110,86,84,88,91,95,134,169,198,209,205,184,182,140,129,195,146,152,159,164,167,170,174,170,226,226,178,143,104,85,87,91,76,143,207,210,202,189,167,170,160,109,198,205,147,153,159,164,166,170,171,184,241,218,173,127,102,83,84,97,110,137,144,172,172,166,178,174,119,138,212,198,148,154,160,164,166,171,167,206,240,206,160,127,107,81,87,105,129,143,138,133,161,174,168,134,132,193,206,202,148,154,161,165,166,170,170,228,231,193,151,136,112,79,99,135,152,158,147,141,163,140,129,168,207,208,205,204,149,154,161,164,167,165,188,239,224,188,152,140,113,80,110,152,154,157,152,124,112,138,193,211,204,204,205,203,150,155,161,165,168,164,218,235,214,184,154,135,113,83,120,159,145,155,135,99,151,206,206,203,204,204,204,203,150,155,161,167,162,187,238,219,208,179,137,121,102,84,130,152,139,138,119,177,210,203,204,205,205,206,205,204,150,156,161,166,163,218,226,206,195,164,120,113,92,96,127,131,131,120,185,209,202,205,205,205,205,206,206,204,150,156,163,161,192,222,208,197,194,163,107,103,95,103,107,115,136,184,208,201,205,205,205,206,206,206,206,206,150,156,161,164,224,211,202,189,201,156,93,105,108,94,95,148,200,205,203,205,205,205,205,207,207,206,206,206
10,101,109,124,144,153,160,165,167,168,171,173,175,175,176,177,176,175,174,174,172,173,172,167,166,165,165,162,159,101,110,126,146,155,162,166,168,171,173,175,177,177,177,178,178,178,177,176,177,161,160,172,169,167,165,164,161,102,112,127,147,157,163,167,170,172,175,177,179,179,180,180,180,180,180,177,185,146,114,176,171,170,167,165,163,104,113,129,149,158,164,170,172,173,176,179,180,181,182,183,183,182,182,180,187,151,105,170,174,171,171,167,165,106,114,131,150,159,166,171,174,175,178,181,182,183,184,185,185,185,184,182,188,147,101,167,179,174,173,170,168,106,115,132,152,160,168,174,175,177,180,182,183,186,186,187,187,187,187,185,189,147,100,168,182,177,176,174,171,108,116,134,153,162,170,175,176,177,182,185,186,187,187,188,190,189,188,187,194,154,103,168,184,178,178,176,172,109,117,134,153,163,170,175,176,179,184,187,187,188,189,190,192,192,190,189,195,149,98,168,186,180,179,176,174,110,117,136,154,164,171,176,178,180,185,188,188,190,191,191,192,194,193,195,176,116,94,170,187,182,181,178,176,111,118,136,154,164,171,176,179,182,186,189,191,192,193,193,193,190,180,198,159,88,101,179,188,184,182,180,176,112,119,138,155,164,172,177,180,182,187,190,192,192,194,197,199,186,153,143,133,91,87,186,187,185,183,180,178,112,120,139,155,165,173,178,180,184,189,191,192,194,194,180,187,197,180,136,90,94,81,170,192,185,184,181,180,113,122,141,156,166,174,178,181,185,189,192,194,198,191,148,122,121,150,105,80,96,77,134,200,185,185,183,181,113,122,142,156,166,175,179,182,185,189,193,191,183,197,168,130,58,65,65,106,110,74,124,201,186,186,185,182,114,122,142,156,168,175,180,183,186,189,195,182,140,151,186,144,80,61,65,129,150,85,116,200,187,188,186,183,114,123,144,157,168,175,181,184,187,190,197,190,171,131,169,154,104,61,70,130,169,103,105,199,190,188,186,184,114,123,144,157,168,175,182,185,188,192,195,172,179,147,139,152,109,58,84,151,168,113,89,190,192,189,187,184,115,123,144,157,169,176,181,185,189,191,200,171,144,136,101,142,121,79,117,167,151,109,85,188,194,190,188,185,115,123,144,158,168,176,182,185,188,193,197,176,139,125,105,134,160,112,134,171,125,91,97,198,194,191,188,185,115,124,145,158,168,176,183,185,188,193,194,196,168,126,120,121,156,112,136,158,118,77,112,203,191,191,189,186,114,125,146,157,168,177,184,185,189,193,192,198,181,150,126,113,157,158,155,140,116,70,128,208,192,192,191,188,112,124,145,157,168,176,182,184,187,192,193,188,180,161,142,127,170,189,157,129,109,68,147,205,192,190,188,187,111,122,144,155,166,175,181,183,187,191,195,180,172,164,153,138,164,179,148,119,100,65,167,201,191,189,187,186,111,121,143,154,165,174,180,182,187,191,195,192,172,168,158,138,153,166,137,109,82,76,191,194,191,190,187,185,107,118,140,150,163,172,178,181,186,189,192,196,181,164,151,134,134,145,123,100,66,119,205,192,192,189,188,186,119,130,149,159,169,177,183,186,189,192,196,198,198,171,145,131,126,136,127,99,68,165,199,189,189,185,183,181,145,148,152,151,146,145,145,144,144,143,142,138,150,179,151,148,139,136,131,95,74,115,120,117,115,115,114,106,113,112,111,112,111,112,113,113,114,113,112,110,121,184,168,161,143,135,118,91,74,101,102,101,99,93,63,45
17,147,150,152,154,157,157,159,160,161,161,163,163,165,167,169,169,170,171,171,171,172,173,173,173,174,175,174,175,149,150,153,155,157,157,159,161,163,163,165,166,167,168,170,171,173,174,173,173,174,174,174,174,176,175,176,175,148,150,154,156,158,158,160,161,164,165,166,168,168,169,171,172,174,175,177,177,175,179,175,176,176,176,177,177,148,151,154,158,160,160,161,163,165,166,166,170,171,172,172,174,176,167,141,160,129,150,183,177,178,178,177,178,150,152,154,158,160,161,163,165,167,168,170,171,172,174,175,176,178,180,135,97,92,118,188,177,179,179,178,178,151,153,157,159,161,163,165,166,168,170,171,172,173,174,176,176,176,199,158,97,65,130,188,178,181,181,179,179,152,155,157,160,161,164,166,166,169,170,170,172,173,174,176,178,175,198,169,119,58,142,190,180,181,181,180,180,152,155,157,160,163,165,167,168,169,170,173,174,177,179,176,179,176,199,184,135,76,166,186,181,181,181,180,180,154,158,159,161,162,165,167,169,170,171,171,177,163,153,185,180,176,203,183,138,98,181,184,183,182,183,183,181,156,158,160,162,164,167,168,170,172,173,173,179,168,119,136,185,185,207,176,135,102,182,185,184,184,184,184,183,155,159,161,162,164,166,169,170,170,169,170,188,173,148,120,144,168,198,178,136,99,181,186,186,185,185,185,184,157,160,160,163,166,168,167,176,185,154,119,161,190,184,186,142,90,137,167,139,101,178,187,187,186,187,184,184,157,159,161,166,167,170,166,187,195,154,110,158,167,193,196,171,111,85,136,128,96,173,190,186,187,186,185,186,157,160,163,167,168,169,172,187,158,177,145,142,124,126,203,190,144,83,99,110,88,170,192,188,188,186,185,186,158,161,163,166,168,169,173,196,143,129,127,84,76,62,195,206,168,100,79,91,80,167,193,187,189,187,187,187,159,161,164,166,170,169,182,182,136,115,125,96,91,88,172,223,181,125,78,90,77,158,195,186,189,188,188,187,159,161,165,168,171,167,187,189,166,148,137,111,124,126,150,231,182,141,88,85,80,150,197,187,189,190,190,189,158,162,165,168,171,168,198,180,147,139,132,121,145,151,186,206,182,152,99,79,73,151,198,189,191,190,190,189,160,161,164,169,172,175,199,163,140,131,128,140,142,195,226,184,166,150,98,73,63,149,199,189,192,190,189,190,160,162,166,170,170,180,205,168,150,134,132,142,166,225,213,188,157,138,96,70,64,159,197,188,191,190,190,190,160,164,168,171,169,185,209,173,157,135,136,146,200,221,200,183,149,131,91,72,70,180,192,189,191,191,190,190,161,165,168,171,167,191,211,177,166,145,134,167,220,214,197,174,137,125,89,65,96,197,189,190,192,192,191,189,162,165,170,172,166,199,212,179,173,163,138,178,223,203,192,176,132,112,88,59,141,201,190,192,191,190,190,189,163,167,171,174,167,200,219,184,182,177,151,178,214,192,184,172,135,100,80,74,183,195,191,193,191,191,191,190,164,168,170,173,168,192,221,192,187,180,165,166,205,187,184,163,131,98,68,114,203,189,192,191,191,192,192,191,162,167,170,174,171,183,219,200,184,172,171,166,189,181,184,171,125,96,64,135,204,189,192,191,191,192,192,191,163,167,169,172,175,178,214,196,181,168,166,172,182,171,185,175,125,93,67,159,202,191,192,193,193,193,193,192,164,167,170,172,174,179,213,188,181,167,162,168,180,167,183,164,119,90,85,189,195,193,193,193,193,193,193,192
15,182,155,158,138,95,181,73,21,84,82,84,88,93,96,109,124,139,151,155,159,167,175,179,183,186,190,194,197,182,156,166,130,106,185,57,29,86,83,86,89,92,96,110,127,142,153,157,162,170,177,183,186,190,193,196,200,183,162,174,120,123,185,41,41,89,83,87,92,94,96,112,129,144,156,160,165,172,180,186,189,193,197,200,203,181,165,178,113,140,178,30,54,90,84,88,91,93,98,115,132,147,158,162,167,175,183,189,193,197,201,203,206,180,166,179,102,160,166,11,60,86,82,88,93,99,101,120,138,152,162,165,169,179,187,191,196,200,204,208,210,176,178,174,120,157,151,91,112,113,120,131,132,130,107,108,123,140,159,167,174,183,190,203,206,203,208,211,215,171,192,158,134,136,133,136,121,113,121,117,112,104,113,112,109,113,119,130,142,142,135,150,185,217,216,214,219,177,171,129,124,124,120,112,105,106,109,108,105,106,122,125,122,119,116,115,129,138,123,109,95,138,207,230,223,181,179,145,109,116,103,106,101,107,112,112,110,116,128,128,126,118,112,118,133,133,129,123,105,85,95,171,230,182,189,152,113,198,80,47,95,93,97,100,104,115,126,129,123,113,115,129,131,123,127,121,112,107,94,80,119,185,194,137,130,213,57,30,95,85,87,90,93,94,113,133,163,142,128,127,128,130,128,123,116,115,118,102,80,190,201,126,147,204,42,46,95,86,88,91,94,96,110,145,198,177,146,133,127,117,123,117,119,118,134,114,95,191,203,117,163,197,29,55,96,87,88,91,94,97,110,188,179,153,109,103,115,92,94,117,121,129,145,122,107,192,200,113,179,183,20,65,95,86,88,92,96,90,147,197,151,137,99,56,70,51,58,153,142,147,139,118,116,194,197,107,193,167,14,74,94,86,89,92,91,107,206,173,135,115,92,49,42,27,64,178,166,158,125,109,117,195,191,107,207,153,9,82,94,88,88,92,83,149,222,173,128,106,63,39,43,22,95,181,181,170,129,103,110,201,187,109,216,134,10,89,93,88,89,93,86,124,209,191,146,111,53,32,40,44,105,173,193,177,134,105,101,210,179,115,228,117,13,94,91,87,88,91,95,92,187,214,178,124,70,25,74,88,91,165,185,158,128,105,87,217,172,125,239,102,18,98,90,87,87,90,95,94,147,231,200,141,80,41,49,112,155,170,152,123,117,99,77,222,159,137,241,84,24,100,89,85,85,88,90,100,122,217,214,183,165,156,156,173,153,132,110,97,101,96,81,226,149,153,238,66,32,99,86,84,84,87,87,100,118,181,225,187,170,166,175,170,122,92,94,89,90,97,101,227,137,169,231,50,41,98,84,83,83,86,88,98,129,206,174,142,139,148,176,169,107,83,85,79,93,98,91,225,129,188,221,39,52,99,84,82,82,86,90,91,163,210,148,140,143,140,164,162,115,83,97,192,125,63,58,221,123,204,208,15,50,89,73,73,73,78,83,87,161,190,142,127,125,122,145,146,118,72,192,255,135,64,64,215,121,214,194,88,110,124,110,104,100,96,97,108,138,163,155,168,166,114,92,140,112,88,183,255,143,72,66,208,125,218,199,163,125,139,139,137,133,135,139,136,134,135,146,154,204,170,90,147,146,121,170,205,129,81,70,201,127,225,197,145,108,126,123,125,125,128,127,129,128,126,131,123,157,204,132,118,136,134,131,135,110,78,77,192,134,229,192,145,118,130,131,132,132,131,132,134,136,138,139,138,135,158,149,138,141,142,143,148,114,62,42
7,188,188,189,188,188,188,188,187,187,187,185,183,181,181,180,179,176,174,173,172,170,170,168,167,164,160,158,157,191,191,191,190,191,191,191,190,189,189,188,186,185,183,182,182,179,179,176,174,173,172,171,167,166,164,160,162,192,193,193,192,193,195,194,193,192,190,189,188,186,186,186,185,183,181,179,177,176,173,172,170,168,166,163,161,194,194,194,195,195,195,195,195,193,191,190,189,190,189,187,186,186,184,181,180,179,176,174,173,171,167,165,164,195,195,196,197,197,198,197,196,195,194,194,193,192,189,188,187,186,185,184,182,180,179,176,174,173,170,168,166,198,197,197,197,198,200,199,197,196,195,196,196,194,192,192,190,188,187,185,183,182,181,180,177,174,172,170,168,200,199,199,200,200,200,201,201,198,197,196,196,194,194,193,192,190,188,187,187,183,181,180,178,176,174,171,171,201,201,201,202,201,200,201,202,201,199,197,196,195,195,194,192,192,189,190,187,187,186,184,183,178,175,173,171,202,202,202,202,202,202,202,202,200,200,199,198,199,200,199,198,195,196,192,188,185,179,176,173,177,179,174,173,203,203,203,204,204,204,203,206,208,205,200,198,192,183,173,162,152,134,130,133,135,111,117,150,142,171,179,175,204,205,205,204,204,206,205,188,163,144,135,129,130,123,113,110,114,88,96,102,97,96,104,140,112,160,182,177,206,205,205,207,209,197,173,150,130,97,103,111,112,115,112,114,90,84,77,76,75,79,62,83,128,177,186,179,207,206,209,206,180,160,158,151,128,90,85,84,84,88,92,96,93,103,95,68,76,71,66,71,78,87,150,184,205,211,198,161,147,152,153,142,131,116,101,100,102,112,116,115,117,110,100,58,67,73,59,55,44,65,95,186,213,191,153,149,150,150,141,141,143,131,115,111,110,120,109,104,98,89,71,43,43,45,42,45,44,56,128,186,185,157,156,154,151,147,145,153,139,116,72,64,78,82,70,66,73,75,79,97,124,140,154,158,163,169,183,180,152,162,163,155,152,153,151,131,118,90,44,48,53,34,116,174,174,189,198,202,204,201,199,198,191,188,188,190,155,161,159,155,154,147,126,112,110,83,59,38,33,34,41,169,214,201,198,195,192,191,190,185,187,191,169,137,155,154,159,161,153,132,115,102,102,112,108,55,29,38,12,111,214,197,201,196,192,191,194,197,184,110,59,45,152,157,162,155,134,108,98,96,98,113,97,44,32,24,53,193,203,200,198,202,205,197,174,125,72,35,30,37,154,157,151,131,108,96,92,87,84,87,55,31,14,42,190,210,204,205,208,183,143,98,57,34,30,36,26,32,152,142,121,111,107,101,100,85,64,61,53,38,16,64,224,195,189,188,150,75,43,32,36,36,36,38,23,23,130,116,112,108,99,88,72,57,50,66,71,40,18,105,132,67,62,58,41,36,50,33,26,32,34,36,21,15,118,117,110,89,70,62,56,57,63,72,51,31,48,64,22,21,31,19,35,25,28,35,9,21,32,34,19,14,117,109,92,77,71,69,63,56,52,42,39,54,51,45,36,10,31,18,23,18,20,23,5,14,28,31,13,17,99,81,72,73,71,65,52,43,46,49,51,44,35,28,30,8,15,19,11,14,18,12,1,10,27,26,8,17,55,40,47,52,54,53,60,66,46,47,38,31,23,28,22,14,0,16,5,10,15,5,2,9,25,23,5,17,32,74,91,88,86,90,92,67,34,23,31,31,17,21,16,16,0,6,7,7,15,2,3,12,23,20,1,22
16,139,146,150,151,156,161,166,170,173,178,182,185,188,189,191,194,195,197,199,201,202,203,205,206,206,205,206,207,141,147,150,152,156,162,167,171,174,179,183,186,189,192,193,195,197,199,200,203,205,205,207,208,207,206,207,209,144,149,151,153,157,163,168,172,176,180,185,188,191,193,195,197,199,201,202,204,207,207,208,209,209,209,210,210,143,150,152,155,159,164,170,174,178,183,186,188,193,195,197,199,201,203,205,206,207,207,209,209,211,212,213,213,145,150,153,156,161,167,171,177,180,184,187,188,193,196,198,199,202,204,206,207,208,208,210,210,212,214,214,214,147,153,155,157,163,168,172,178,182,186,187,198,196,197,208,199,199,207,208,209,209,209,211,212,214,216,216,215,150,155,157,159,164,169,175,180,183,186,199,241,224,235,239,205,178,179,207,214,212,213,213,215,215,217,218,217,150,156,157,160,166,170,176,181,179,225,245,252,250,251,237,207,177,144,137,175,207,217,216,216,217,219,220,219,150,157,158,161,167,172,177,180,205,252,253,254,251,240,222,194,155,141,121,117,133,173,214,219,218,219,220,220,153,157,159,162,169,175,175,206,252,253,253,251,237,218,201,168,141,145,121,124,117,115,146,212,222,221,222,222,152,157,160,163,169,175,174,226,249,253,253,244,220,190,164,137,136,135,125,134,122,118,111,135,214,225,223,222,152,157,160,163,170,177,176,236,251,252,239,222,198,158,132,127,113,136,132,139,128,122,117,110,142,229,225,223,154,159,162,165,172,179,179,242,255,243,211,190,157,131,115,90,74,139,135,138,130,125,118,117,111,157,214,227,156,161,163,167,173,180,177,238,255,244,209,161,121,100,54,32,70,135,135,142,130,123,120,122,105,47,109,235,157,162,163,167,174,181,178,228,255,246,204,139,108,69,21,25,70,134,144,147,128,120,122,117,62,35,122,239,158,162,164,167,174,179,181,211,255,243,184,122,92,62,35,54,71,116,162,141,128,119,120,77,39,32,173,238,158,163,165,168,174,181,184,198,254,227,160,114,104,102,79,87,88,129,185,124,124,120,85,30,44,35,205,234,159,164,165,168,175,181,185,201,248,199,133,121,124,115,108,102,95,193,176,120,122,83,20,32,40,47,224,233,160,165,165,169,177,183,185,217,245,175,132,132,126,123,123,96,163,217,163,125,88,28,30,44,29,65,235,233,162,165,166,171,179,185,183,224,242,150,159,115,81,96,100,108,235,220,159,112,58,39,43,33,26,95,243,234,162,165,166,171,179,185,183,236,223,124,185,112,89,93,83,125,253,232,175,89,53,41,32,31,25,148,244,235,161,164,167,171,178,184,193,243,168,138,198,114,108,114,99,115,242,234,186,74,45,36,30,35,28,175,242,235,160,163,165,170,178,183,195,189,147,195,186,115,119,123,118,107,195,227,187,78,32,32,34,38,32,172,242,235,161,165,166,171,180,185,189,191,197,207,174,118,125,129,125,102,94,161,129,45,29,32,37,40,35,177,243,235,162,165,167,172,179,186,190,195,198,208,166,122,124,124,103,66,39,38,38,33,36,36,38,39,35,183,244,236,163,165,167,172,179,185,190,196,200,209,158,117,114,106,68,40,40,43,43,45,43,42,39,38,31,132,248,236,163,166,168,173,180,186,192,198,201,210,164,121,104,87,54,47,54,56,57,56,51,46,41,40,31,134,247,237,163,166,170,173,180,186,192,197,202,202,147,123,107,90,68,59,65,65,66,62,55,50,43,42,31,158,247,239
20,174,176,179,182,184,185,187,188,188,190,191,192,192,191,192,194,191,192,192,193,191,192,190,188,187,187,187,185,176,179,182,183,186,188,188,190,191,191,192,194,192,205,195,181,194,194,193,193,193,192,192,191,190,189,188,188,178,181,183,185,187,189,191,192,193,193,194,196,190,222,198,148,195,178,196,194,194,194,194,193,193,191,189,189,180,183,186,186,189,192,193,194,195,196,197,199,193,225,198,154,211,148,190,199,195,196,196,194,194,193,192,190,182,186,187,188,191,193,194,195,197,198,199,201,195,225,199,163,226,152,176,205,199,199,198,198,197,194,193,192,183,187,188,190,193,195,196,197,199,200,200,202,196,232,214,165,228,169,170,207,200,201,200,199,198,197,195,195,185,188,190,192,195,197,198,199,201,202,203,205,199,235,206,171,236,182,168,209,203,204,203,201,200,199,198,196,186,188,191,193,196,199,200,202,201,202,202,203,205,236,195,182,235,179,163,210,205,206,205,203,202,201,200,199,187,190,193,195,198,200,201,202,204,203,217,215,203,239,199,183,239,172,162,213,206,206,206,205,203,202,201,200,189,192,194,197,199,202,203,204,202,207,250,247,199,170,182,184,235,173,169,215,206,208,208,206,205,204,203,202,191,194,196,199,200,202,205,204,220,230,214,219,202,147,128,161,211,165,174,217,209,210,208,208,206,206,205,204,192,195,198,200,203,205,204,213,247,248,202,177,206,186,175,148,168,155,175,218,211,211,210,209,208,207,206,205,193,196,198,202,204,207,205,222,224,185,226,197,179,221,216,165,135,136,175,219,211,213,211,210,210,209,208,207,194,198,200,203,205,207,205,224,223,144,144,146,123,195,218,177,137,126,173,220,212,215,212,212,212,211,210,209,196,198,201,204,206,209,207,227,210,180,163,131,128,140,228,209,159,120,173,223,214,216,214,213,214,213,211,210,197,200,203,205,207,211,207,231,237,205,166,144,151,138,218,236,184,123,164,225,216,217,216,215,215,214,212,211,198,201,204,207,209,212,208,235,236,185,155,148,162,166,221,248,204,141,155,225,216,219,217,216,216,215,214,212,199,203,205,208,211,213,209,236,235,191,167,164,172,188,244,246,211,155,155,226,218,219,218,217,218,217,215,214,200,204,207,209,212,214,212,237,244,204,179,176,185,221,251,239,202,161,150,226,219,219,220,219,218,217,216,216,201,205,208,210,212,216,213,236,247,217,185,186,200,241,251,237,196,160,152,225,220,221,220,220,221,219,217,216,202,204,207,210,213,216,213,232,250,225,196,189,211,249,244,227,194,156,146,226,223,222,221,222,222,221,218,217,203,204,207,210,212,216,212,229,251,226,207,201,213,251,238,213,190,151,141,224,223,222,220,220,220,220,218,217,203,205,209,212,214,216,216,223,247,233,218,219,211,243,229,206,186,146,138,224,224,224,222,220,220,219,217,219,202,206,210,212,215,216,219,219,241,239,225,227,206,221,214,192,178,139,141,230,224,225,224,223,220,220,225,211,204,207,210,212,215,218,219,217,235,247,230,216,195,196,198,179,181,129,157,236,225,227,225,222,228,225,202,147,205,208,211,212,215,217,226,229,237,248,225,199,171,174,189,177,173,117,186,236,227,228,226,231,207,156,125,114,206,210,213,217,219,224,197,130,187,248,201,180,159,171,196,170,152,122,229,231,229,230,233,197,135,123,117,110,178,181,186,190,192,200,141,47,136,242,210,183,159,181,200,149,134,89,157,225,220,226,193,129,121,116,108,107
24,182,185,186,188,189,189,191,191,191,191,192,191,190,189,189,187,184,183,181,180,180,176,174,174,168,166,166,163,184,188,190,190,192,193,192,193,194,195,195,192,192,190,189,190,188,187,184,183,181,179,176,175,172,169,167,166,186,189,192,193,194,195,196,196,197,198,197,196,194,192,192,191,190,189,188,184,182,181,180,177,174,172,171,169,189,191,194,200,196,198,199,199,199,200,200,198,198,196,196,194,192,190,188,187,184,184,183,180,178,175,174,172,188,198,187,160,201,201,201,203,201,202,203,202,201,199,200,198,195,194,192,191,189,186,184,182,181,179,175,173,188,206,172,95,158,211,203,206,205,205,205,205,205,203,201,201,198,196,194,193,192,190,187,185,183,181,178,176,193,200,162,110,93,202,206,207,208,207,206,206,206,205,204,202,201,199,197,194,193,193,190,187,185,183,181,178,194,202,192,133,73,157,218,206,210,209,212,214,206,207,206,202,201,204,204,198,197,194,192,189,186,185,185,187,197,201,206,163,89,98,215,210,211,211,191,191,215,211,209,212,209,189,184,206,199,196,194,192,191,182,153,135,199,202,207,195,136,79,160,224,211,196,143,102,180,195,139,139,187,153,100,154,209,196,195,195,183,156,110,105,200,203,206,211,170,96,86,213,214,178,165,131,99,144,115,69,105,150,96,65,190,204,198,185,167,131,90,176,201,203,206,213,193,121,81,157,225,170,186,159,106,97,123,82,110,150,101,59,179,211,186,153,150,89,115,198,202,205,208,211,212,174,125,103,199,150,173,176,127,78,119,97,121,154,100,72,198,210,136,126,128,62,159,198,204,208,211,212,216,209,141,105,144,145,133,182,139,95,84,83,114,152,90,99,224,177,107,131,101,87,196,191,206,209,211,215,216,219,173,161,144,130,108,149,151,99,62,58,75,104,67,79,213,123,109,133,75,159,204,191,207,210,214,216,218,220,214,187,145,103,82,83,151,122,94,47,36,61,49,44,98,99,122,106,85,202,196,194,208,212,215,217,219,219,223,188,122,101,91,76,123,163,143,66,15,61,74,102,110,118,127,78,133,211,195,194,209,211,217,220,220,222,224,194,163,139,95,82,114,159,128,75,55,92,133,140,136,113,103,65,182,207,200,197,209,213,218,219,220,225,222,213,188,146,96,87,108,147,127,135,128,125,142,138,130,102,55,102,213,201,202,200,211,216,219,219,222,227,224,209,201,163,126,98,82,137,184,178,171,155,146,134,119,77,60,195,208,203,203,201,211,215,220,221,224,226,227,207,201,173,140,102,89,129,192,190,183,163,143,126,106,45,154,221,204,205,203,201,211,216,220,220,225,227,230,208,186,168,151,111,106,141,184,178,167,150,130,115,70,91,220,208,209,207,203,202,214,218,220,222,225,227,230,215,177,175,160,126,112,143,167,165,161,135,111,90,51,187,218,210,210,209,205,203,215,218,219,223,226,227,227,230,197,173,160,136,102,124,151,151,145,116,94,46,138,226,210,212,209,207,205,204,214,219,220,223,228,228,227,231,219,188,161,131,96,105,131,128,117,93,50,117,227,216,215,212,210,208,206,204,213,218,221,224,229,229,228,232,225,187,155,121,106,108,122,118,98,57,77,231,219,217,216,213,210,210,207,204,214,218,222,226,227,228,230,229,222,191,159,143,134,126,127,119,83,40,169,233,218,218,216,214,212,210,207,203,212,217,220,222,224,227,231,222,215,204,182,156,131,137,131,106,63,71,221,221,219,217,216,213,211,209,206,202
20,159,163,167,171,174,177,180,181,183,184,186,186,186,185,190,191,188,190,191,190,190,192,192,191,191,191,190,188,163,168,172,177,179,182,184,186,189,190,191,191,189,208,165,176,198,193,193,195,195,195,196,195,197,196,193,192,167,172,177,180,183,187,190,191,193,194,195,196,196,237,141,134,197,198,197,198,199,199,201,200,200,198,197,195,171,176,181,184,188,192,193,195,197,199,200,199,204,238,146,119,159,159,212,202,203,203,204,204,203,202,200,199,176,181,186,189,192,195,197,199,201,202,204,205,209,234,141,147,186,119,214,207,206,206,207,207,207,206,204,203,181,184,189,193,196,198,201,202,205,205,208,208,214,236,147,163,202,110,203,214,210,210,211,211,211,209,208,207,183,188,192,196,201,202,205,207,209,210,211,209,219,243,153,164,217,115,197,221,214,215,216,215,213,214,212,210,185,190,195,199,203,207,209,211,212,213,216,211,227,239,154,163,232,125,186,226,217,218,219,219,218,218,217,215,189,193,197,202,205,210,212,215,218,218,218,215,238,244,159,172,233,134,171,231,219,222,223,221,221,222,219,218,192,196,201,205,209,213,216,218,221,222,220,185,226,255,156,178,246,145,161,237,222,226,226,226,226,225,223,220,194,199,203,208,211,216,219,220,213,231,249,188,168,197,131,162,252,155,160,240,225,229,229,229,228,227,226,224,198,203,207,210,215,219,221,228,214,191,246,221,138,110,92,141,215,154,156,241,229,232,231,230,230,230,229,227,199,205,210,213,217,223,223,237,248,187,190,221,171,164,129,125,172,149,151,244,232,235,234,234,233,233,232,229,201,206,211,217,220,225,228,225,220,191,149,208,195,212,190,117,118,136,138,243,234,236,236,235,235,234,233,234,204,210,214,218,223,227,230,223,182,187,130,221,196,202,197,128,87,99,134,246,234,238,238,238,238,237,236,236,206,212,217,220,224,228,230,232,222,189,155,160,143,104,199,164,103,74,124,247,238,242,242,242,241,239,237,236,207,212,217,222,226,231,231,244,214,151,108,71,73,56,170,208,136,82,101,245,243,243,244,244,243,242,240,238,209,214,219,224,227,233,236,244,217,172,128,106,105,110,196,244,174,111,91,233,248,243,245,246,244,243,243,242,211,215,220,225,229,233,234,245,236,179,137,126,144,204,255,232,179,136,96,228,252,245,247,248,247,246,245,245,211,217,222,226,230,235,235,247,241,191,151,154,169,242,255,218,160,122,102,241,251,247,248,248,248,247,246,245,212,219,224,227,233,237,235,248,251,213,179,163,177,253,238,198,146,102,109,250,250,249,251,251,250,249,248,248,214,220,226,230,235,237,236,246,255,224,184,177,183,254,229,180,136,99,114,253,251,253,254,253,252,252,250,248,214,220,226,230,235,238,238,240,250,220,200,206,185,249,222,163,123,94,127,255,251,254,254,254,253,253,252,249,214,220,225,229,234,236,239,237,231,222,201,208,176,236,202,153,115,86,143,255,250,253,253,254,254,254,252,251,215,220,226,231,234,236,238,239,235,222,200,203,160,208,176,134,116,83,169,255,249,252,253,254,254,253,252,252,217,221,226,231,233,237,238,238,241,227,191,176,134,181,153,128,117,92,223,255,252,253,255,255,255,253,253,252,216,222,227,230,233,237,240,236,243,229,194,157,143,190,141,139,99,145,255,253,254,254,255,255,255,254,254,253,216,223,228,231,234,236,240,235,246,241,210,181,174,189,129,132,86,214,255,252,254,255,255,255,255,255,255,253
13,166,169,173,176,177,179,181,182,184,186,186,186,187,189,189,189,189,189,188,188,187,185,184,183,182,182,180,179,167,170,174,177,179,180,181,184,186,187,188,188,189,190,190,189,189,190,190,190,189,187,186,186,185,184,183,181,167,171,175,178,180,181,182,186,188,189,190,192,191,192,194,195,197,191,192,196,194,188,189,188,187,185,184,184,168,172,176,179,180,183,184,187,189,190,191,193,193,193,189,166,165,198,189,166,170,193,190,190,189,188,186,185,168,172,177,180,181,183,186,188,190,190,193,195,193,196,182,148,114,152,169,136,96,150,200,190,190,188,188,186,169,174,178,181,182,184,187,189,191,192,193,195,194,201,203,166,144,95,140,149,103,94,199,193,191,190,189,187,170,174,180,182,183,185,189,190,192,194,194,195,196,198,210,174,144,90,116,149,112,79,187,197,192,191,190,188,171,176,180,182,184,186,190,192,194,195,197,197,198,197,197,173,133,94,89,124,99,71,181,199,192,192,192,191,171,175,179,184,185,187,191,193,194,196,197,198,194,204,192,173,129,103,80,114,95,71,184,199,194,194,194,191,171,177,181,185,186,189,191,194,196,197,199,188,144,136,138,160,157,121,88,128,111,82,195,198,196,195,193,191,173,178,182,184,186,189,192,194,197,197,209,179,130,110,98,156,188,139,93,118,115,65,170,205,196,196,195,194,173,178,182,185,188,190,192,195,197,194,182,175,143,137,97,101,173,130,86,98,94,73,106,205,197,197,196,195,173,178,184,187,188,191,194,193,197,184,121,125,166,143,122,58,68,62,80,96,91,107,84,158,209,196,196,196,173,178,183,188,189,190,192,198,213,167,128,102,152,152,127,93,37,56,69,94,123,125,104,100,205,199,198,196,172,178,184,188,189,192,192,209,188,160,143,128,114,152,131,115,57,71,114,123,137,129,113,79,187,204,198,197,174,180,184,188,189,191,195,212,166,154,153,131,105,132,135,105,63,72,149,164,154,116,106,81,189,204,199,198,175,180,184,189,190,191,196,209,173,128,128,124,105,87,108,80,63,88,159,162,156,122,86,93,205,202,200,198,175,181,186,190,192,192,197,198,180,151,117,98,74,47,83,98,80,125,179,159,149,120,73,120,215,200,201,198,176,181,186,190,191,193,196,199,197,173,138,109,92,83,95,105,113,184,181,152,135,115,67,153,215,202,202,199,176,182,187,191,192,195,197,197,194,181,156,142,121,118,133,153,176,191,169,145,124,105,70,184,210,202,203,201,175,182,187,190,191,195,196,198,190,174,157,136,117,116,140,192,186,174,155,135,116,89,82,206,207,204,203,201,175,182,187,190,191,194,197,200,178,163,156,137,122,124,131,175,178,167,144,122,108,75,104,218,205,206,204,202,175,182,187,191,193,196,198,204,184,166,157,140,135,129,129,170,175,164,137,110,99,60,150,219,206,206,204,202,176,182,188,191,192,195,197,203,201,167,157,150,138,125,121,154,165,150,120,97,77,75,205,210,208,205,204,202,177,183,188,191,192,194,197,201,206,189,161,149,134,124,117,136,151,137,108,94,58,141,220,206,207,205,204,203,177,182,188,192,192,195,198,201,203,207,179,149,130,119,120,127,143,134,108,89,68,194,213,209,208,207,204,202,176,181,187,191,192,193,197,200,202,203,189,161,145,138,141,137,140,137,104,77,106,215,207,207,207,205,204,202,174,180,186,189,190,192,196,198,202,196,194,170,160,157,150,143,140,128,100,71,142,219,206,206,205,204,203,201
14,171,174,177,180,184,187,190,192,193,193,195,199,200,199,202,204,203,202,203,204,204,205,205,204,205,204,203,204,170,175,177,181,186,188,191,192,193,195,198,200,202,201,205,206,204,206,206,206,208,208,207,207,206,205,207,206,172,175,178,183,186,188,192,193,196,197,198,201,202,203,203,210,212,209,209,208,209,210,209,208,209,208,208,208,173,177,179,184,188,190,194,196,196,198,207,203,208,204,188,177,184,202,210,214,213,211,211,211,211,211,210,210,175,182,184,188,190,192,195,197,192,222,232,217,201,181,167,169,161,162,156,159,204,215,210,211,211,211,210,211,176,181,186,189,192,195,197,191,215,255,211,172,154,127,101,126,145,134,108,106,125,220,213,213,213,213,213,213,178,182,185,188,193,194,197,193,255,234,163,115,97,88,87,84,98,104,102,115,95,163,228,215,217,218,216,212,178,182,185,191,194,197,189,230,255,192,140,115,77,73,80,64,73,97,117,115,97,104,150,164,173,221,215,216,182,184,189,192,196,197,192,255,231,152,119,88,71,84,79,66,68,85,121,123,82,111,90,122,141,221,217,219,183,186,189,193,199,190,223,255,195,136,110,72,61,72,69,81,73,185,222,213,178,119,115,126,151,228,217,218,183,187,191,194,198,194,255,255,186,134,116,104,76,50,68,76,114,226,221,220,233,149,151,128,150,231,217,219,183,188,196,200,189,231,255,244,185,131,116,104,83,71,71,77,190,226,218,223,219,143,163,131,120,225,219,219,184,190,196,201,185,248,255,241,182,125,110,96,76,82,74,123,233,219,222,224,217,135,160,141,99,193,229,219,186,192,196,203,183,243,255,241,189,141,105,85,70,78,65,160,233,220,223,228,215,131,150,142,107,171,233,220,187,194,198,204,185,245,255,241,193,155,117,86,74,75,58,176,237,224,222,230,199,150,170,151,115,187,232,220,187,195,199,206,183,255,255,245,202,157,124,100,69,72,59,140,225,225,229,239,181,155,176,155,124,208,231,223,189,195,198,207,184,255,255,251,202,167,137,118,78,75,86,86,111,131,165,206,146,156,171,150,135,221,229,228,191,195,199,208,184,255,255,248,206,174,148,131,95,74,94,96,101,114,126,128,130,163,170,141,144,233,227,228,192,198,203,208,187,254,255,246,209,180,151,131,107,74,95,107,125,138,147,150,126,133,163,135,161,238,228,229,192,200,204,208,187,255,255,248,210,181,149,127,118,85,102,121,140,147,148,148,132,120,141,126,186,238,229,231,195,202,205,208,185,255,255,240,205,174,143,126,120,100,107,125,141,147,147,146,135,128,137,119,207,237,229,230,196,202,205,211,191,247,255,230,202,172,146,135,124,112,118,130,139,143,141,139,136,137,124,157,232,231,230,231,196,200,207,210,199,252,255,231,204,175,157,144,130,119,126,134,137,144,138,134,140,132,171,230,235,235,234,231,197,202,207,211,201,255,255,233,209,177,156,139,131,126,123,135,138,142,137,143,130,184,240,235,235,236,234,235,198,204,209,213,197,255,255,238,212,177,148,131,133,134,128,136,141,143,144,129,160,237,235,235,236,237,233,235,199,206,209,212,200,255,253,231,206,169,140,133,138,137,134,141,146,146,131,158,232,237,236,237,237,236,233,236,201,207,210,212,203,255,249,231,209,173,138,135,137,133,130,139,146,134,168,237,238,237,238,238,237,238,236,235,203,207,210,212,211,255,252,235,221,189,137,131,132,132,131,136,134,164,235,240,239,238,238,238,237,237,237,237
4,86,95,109,117,120,124,128,132,135,137,139,142,144,147,149,151,153,155,158,160,162,164,165,166,166,168,171,170,88,97,109,118,120,125,130,133,136,138,142,144,144,144,147,152,158,156,159,161,163,165,165,166,167,168,169,170,90,100,110,117,121,128,132,134,139,138,136,140,150,162,139,131,137,161,157,163,166,165,167,168,168,168,168,170,91,101,113,118,123,130,132,136,137,153,156,132,128,168,182,147,98,107,140,115,147,169,166,169,170,170,170,170,93,103,116,120,125,130,133,134,134,180,195,173,131,95,175,145,98,60,136,87,88,176,165,171,171,172,173,173,94,104,115,122,128,131,132,158,162,145,117,175,139,77,126,133,84,54,116,94,80,173,168,171,171,172,173,174,97,107,118,122,128,127,152,206,181,136,78,140,132,71,91,152,100,55,133,117,72,165,171,173,173,173,174,174,96,109,119,123,128,125,169,178,179,133,78,107,155,80,57,159,120,40,150,127,59,162,175,173,174,175,174,175,97,112,120,124,129,125,175,176,151,159,119,70,163,112,14,113,160,82,102,108,123,111,153,177,173,176,177,177,100,111,119,125,132,126,176,176,126,143,122,37,92,101,35,91,167,127,99,107,126,99,116,181,174,178,178,179,102,114,122,126,133,126,176,184,159,128,93,69,57,90,81,102,132,133,128,113,103,130,102,167,179,178,178,179,104,116,124,128,134,131,195,184,148,125,107,79,82,114,93,117,136,131,117,111,137,155,103,139,187,179,181,181,105,117,125,129,133,138,205,181,138,113,94,75,89,109,113,129,150,122,81,136,177,159,127,112,187,181,181,182,107,119,125,129,132,145,210,175,140,116,96,85,97,108,133,137,153,169,169,144,147,162,137,96,172,186,181,181,108,119,125,131,131,155,219,179,144,116,105,89,100,117,144,152,165,185,182,169,159,135,121,77,144,192,183,185,111,120,126,133,131,152,224,184,151,127,103,90,100,120,151,166,181,188,181,170,158,130,101,66,138,196,185,188,114,120,126,133,132,151,226,191,163,137,104,98,103,122,161,180,188,190,180,169,147,126,98,64,162,192,185,188,115,122,125,132,134,154,230,191,169,145,120,113,111,127,172,194,196,188,172,159,143,119,85,84,192,185,187,188,115,122,125,133,135,151,221,194,177,154,140,117,122,145,179,205,199,187,171,151,131,107,63,127,199,184,189,188,116,122,127,135,138,142,206,200,186,166,155,135,127,165,173,200,196,183,170,144,121,87,66,175,191,187,189,189,115,122,127,134,139,137,191,205,192,176,163,151,133,157,169,190,190,178,163,139,118,72,104,199,186,188,189,190,117,122,127,135,140,138,174,216,196,184,168,152,139,151,164,188,184,167,158,138,114,72,159,194,188,189,190,190,118,122,127,135,140,141,163,227,200,182,165,146,142,149,166,180,171,154,141,135,101,101,196,189,190,189,190,191,119,123,127,135,142,143,160,234,192,175,164,153,151,154,164,167,149,140,125,112,90,171,191,190,191,191,191,191,118,123,128,135,142,143,162,224,179,175,172,169,162,156,158,161,145,131,117,78,149,193,188,191,191,191,191,191,119,124,129,136,141,140,166,217,181,183,180,174,174,160,153,153,140,123,90,93,195,184,189,189,192,192,192,192,118,123,129,136,142,141,168,219,202,186,173,178,183,161,143,139,131,113,66,133,195,185,188,190,192,192,192,192,117,124,131,137,142,142,169,216,209,184,176,187,185,154,138,131,130,100,63,167,193,186,191,192,192,192,193,193
6,223,223,224,222,223,223,222,222,222,222,221,220,218,217,216,214,213,211,211,209,208,207,205,202,202,200,196,194,224,225,225,224,225,226,225,224,225,225,224,224,222,220,219,217,216,215,214,212,211,209,208,206,204,202,200,198,226,227,227,226,226,227,227,226,227,228,226,224,224,223,221,219,219,218,217,215,212,211,210,208,207,203,201,199,228,228,228,229,228,228,230,231,230,230,228,227,226,224,224,223,220,221,219,217,217,216,215,213,210,208,204,202,229,230,231,231,231,230,231,232,231,230,230,229,229,230,228,228,226,223,219,213,209,207,200,194,195,194,204,206,231,231,232,232,232,232,233,233,236,237,235,228,226,221,211,203,194,178,160,164,171,171,155,163,217,199,179,210,232,232,233,232,231,233,235,236,220,196,185,175,177,174,170,161,161,156,140,164,162,151,154,154,187,163,165,213,233,234,235,233,233,236,230,209,184,161,158,166,169,178,178,174,156,142,130,122,114,121,125,118,132,163,203,211,236,236,236,237,237,218,199,194,185,156,133,141,149,142,126,122,104,98,116,143,164,185,195,209,219,221,216,212,237,236,239,237,205,187,192,189,174,149,108,94,73,107,176,182,191,198,220,234,234,231,228,224,220,217,216,215,237,240,237,200,184,190,193,189,186,178,143,89,56,97,179,214,241,241,231,229,226,224,224,223,221,220,218,216,243,237,205,189,195,200,200,200,202,185,123,75,73,67,61,69,99,216,236,230,231,228,227,226,223,222,220,218,221,195,195,205,203,204,201,190,196,147,78,65,69,74,78,76,49,133,248,230,232,231,228,226,224,223,221,218,190,195,206,205,201,202,185,179,186,145,107,72,48,63,71,78,70,57,213,240,232,231,229,227,225,223,222,218,196,201,206,207,205,189,179,187,188,190,170,107,59,58,57,57,70,136,231,234,232,232,230,227,226,224,223,221,199,201,208,208,198,181,180,184,181,187,158,92,66,67,71,51,171,255,234,234,233,232,231,229,227,226,223,222,198,206,208,195,183,178,177,172,169,164,126,70,57,62,72,41,168,252,234,236,233,231,232,230,229,227,225,223,201,199,185,183,184,179,178,165,151,152,140,93,47,56,52,119,231,236,234,234,233,231,231,228,225,223,220,220,188,175,173,180,174,164,154,146,150,168,174,117,65,73,49,180,255,235,234,232,232,231,230,226,227,228,230,223,175,174,175,165,149,144,144,152,161,172,160,100,66,63,43,185,249,235,233,233,232,231,231,234,219,196,155,116,175,172,161,150,145,146,146,140,136,132,97,58,69,79,164,244,239,246,246,241,236,233,234,179,102,71,61,58,160,146,133,142,145,142,124,103,87,73,69,143,211,234,248,244,236,200,184,133,117,118,106,69,64,67,50,57,120,93,86,109,119,112,92,77,81,127,187,249,243,239,239,236,143,88,78,41,51,50,45,54,48,60,49,35,73,55,72,97,99,95,90,95,113,135,138,128,131,137,135,110,79,71,70,52,36,56,41,47,39,43,44,28,59,76,130,127,127,128,128,125,125,120,119,118,102,88,72,62,60,58,45,59,27,45,38,36,38,40,33,29,55,109,144,132,133,140,135,129,135,134,136,120,75,55,63,57,48,50,46,52,32,31,36,32,36,39,27,33,62,119,129,127,129,130,127,125,127,123,102,67,59,40,50,55,43,42,40,43,37,19,32,30,35,37,22,34,72,127,126,127,132,130,126,127,119,94,78,43,51,43,37,53,38,38,33,36,38,18,29,30,33,35,24,34
0,235,236,239,241,242,247,248,249,250,251,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,238,242,245,246,248,250,251,251,254,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,238,242,247,248,249,253,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,237,240,243,246,248,250,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,254,255,255,255,255,239,243,246,248,249,252,255,255,255,255,255,255,238,255,255,247,215,255,255,255,222,255,246,219,255,255,255,255,242,244,248,248,252,255,254,255,254,255,255,255,200,255,255,254,195,216,255,255,204,250,255,200,255,255,255,255,243,246,250,252,255,252,255,255,242,255,255,255,219,218,255,255,219,195,255,255,197,195,255,223,210,255,255,255,245,248,250,255,254,255,255,255,236,255,255,255,244,219,255,255,218,213,255,255,197,143,250,255,220,201,244,255,247,250,252,255,250,255,255,255,255,246,255,255,250,210,255,255,207,219,255,230,186,96,193,255,251,188,199,255,249,251,254,254,255,255,255,255,255,230,255,255,243,207,255,255,191,183,255,208,155,88,221,255,255,195,211,255,251,252,255,250,255,255,255,255,255,220,255,255,231,198,255,255,189,138,204,196,125,117,255,255,255,190,243,255,252,254,255,249,255,255,255,255,253,185,242,255,216,176,231,227,183,126,200,188,113,215,255,255,235,181,255,255,253,255,255,255,255,255,253,255,206,144,201,234,202,152,171,206,147,126,233,233,242,255,255,255,194,197,255,255,254,255,250,255,255,255,244,242,216,161,181,228,209,132,142,194,164,247,255,255,255,253,246,217,183,219,255,255,255,255,255,255,255,255,255,235,214,181,169,250,217,116,127,237,255,255,255,255,255,232,208,199,166,238,255,255,255,255,255,255,255,255,255,255,228,206,210,246,212,187,255,255,255,255,255,255,246,214,194,182,180,255,255,255,255,255,255,255,255,255,255,255,255,233,236,255,255,255,255,255,255,255,255,252,223,196,181,172,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,255,255,255,255,255,255,255,254,225,197,186,160,233,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,203,185,164,194,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,211,189,166,168,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,237,220,192,167,155,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,237,205,186,162,132,241,255,255,255,255,255,255,255,255,255,255,244,255,255,252,242,233,223,237,254,250,246,221,205,182,157,127,221,255,255,255,255,255,255,255,255,207,187,186,178,164,156,154,140,129,118,117,113,102,101,98,101,110,108,136,255,255,255,255,255,255,255,255,255,176,178,174,165,163,159,147,134,126,109,100,85,76,75,71,67,65,72,80,93,221,255,255,255,255,255,255,255,184,181,180,170,165,155,145,133,121,107,100,88,81,78,75,72,69,71,77,45,158,255,255,255,255,255,255,255,210,178,182,171,168,153,142,130,112,105,97,90,78,75,73,68,67,66,69,65,255,255,255,255,255,255,255,255,229,182,176,172,167,152,138,127,114,103,92,88,79,77,73,67,65,69,53,145,255,255,255,255,255,255,255,255
16,181,182,183,185,189,191,194,196,198,200,201,202,205,206,206,207,208,209,211,209,210,211,211,211,210,209,209,210,181,183,183,185,189,192,195,196,199,200,201,203,205,206,208,210,211,211,213,214,214,213,210,211,212,211,211,210,181,183,183,185,189,193,196,197,199,201,202,205,206,204,198,192,188,185,184,188,195,208,216,214,211,212,211,212,183,184,184,186,190,193,196,198,200,199,197,193,185,178,169,160,152,150,149,142,135,139,169,199,216,211,212,213,182,182,183,186,190,192,195,194,201,180,178,171,167,169,164,157,151,142,140,142,132,118,117,122,167,216,213,212,182,183,184,188,190,196,205,206,213,186,179,168,162,166,161,155,151,145,136,138,139,125,122,120,112,170,220,212,183,184,185,189,188,200,218,215,214,194,181,164,155,157,157,156,148,149,140,136,134,126,125,123,125,116,196,219,182,183,185,189,189,196,211,217,214,191,177,154,149,149,148,152,149,145,144,138,134,129,126,122,127,116,142,224,183,184,185,189,189,201,210,221,213,189,164,146,136,141,142,147,148,144,148,145,132,130,132,125,119,127,112,194,182,184,185,189,189,201,213,222,207,182,147,135,120,130,144,150,154,150,153,151,135,129,135,122,121,129,116,141,182,184,186,189,192,196,214,222,200,166,137,133,109,96,144,153,166,164,164,155,138,132,138,122,123,128,127,109,184,184,185,189,192,192,215,218,189,155,130,122,96,73,123,149,165,183,182,165,138,134,139,124,123,128,131,121,184,184,185,188,193,193,211,210,176,150,125,115,109,93,114,134,168,191,183,165,138,135,132,124,124,126,129,129,183,183,186,189,192,194,205,196,164,145,118,121,121,119,122,114,183,187,169,159,143,136,126,125,126,127,128,131,181,182,184,187,189,193,200,187,152,128,111,126,124,120,113,127,193,175,165,157,141,126,126,126,126,129,129,131,180,182,184,187,190,195,208,181,137,127,104,117,121,136,166,188,185,164,162,148,127,120,125,127,126,129,128,129,182,183,185,189,190,196,208,176,133,150,140,154,186,210,210,193,168,160,154,134,117,121,125,129,130,129,128,127,182,183,185,189,191,197,213,174,125,187,211,210,212,211,201,184,155,146,140,135,121,122,126,128,132,131,130,129,181,183,185,189,190,197,209,163,128,201,207,207,209,210,203,173,149,128,149,151,127,126,126,128,131,130,132,131,180,182,185,188,189,198,204,144,142,210,206,207,209,211,205,172,138,133,186,165,140,132,128,129,130,130,132,132,180,183,185,187,189,198,197,129,158,210,205,207,209,210,207,179,120,161,212,175,154,138,131,129,130,132,133,134,178,180,183,188,186,206,191,121,179,208,205,207,209,212,205,187,126,178,223,183,166,148,137,131,131,131,131,133,178,181,184,185,181,218,167,128,193,199,200,202,202,204,198,186,144,164,218,185,174,158,146,137,133,133,133,135,146,146,148,150,146,170,141,131,149,149,150,153,154,154,154,154,145,142,153,153,179,166,154,145,141,136,134,136,140,139,139,141,140,139,140,138,139,141,140,140,141,139,139,140,139,138,136,135,169,174,162,152,145,141,137,136,143,144,144,144,145,145,144,143,145,147,148,146,145,146,145,145,145,144,145,138,157,183,167,157,151,146,142,140,143,143,143,144,145,144,142,144,145,145,145,144,144,145,144,143,148,151,150,146,148,183,175,163,156,152,147,144,144,144,143,144,144,144,143,145,144,144,144,144,143,145,144,143,144,144,144,145,142,181,182,172,164,158,149,145
3,135,148,157,159,166,174,177,181,186,190,193,195,197,199,200,199,204,193,202,202,202,203,203,203,202,202,204,203,136,150,158,160,169,177,179,183,187,190,196,199,200,201,203,201,234,161,174,210,202,204,204,203,202,201,203,203,138,152,159,161,172,180,184,188,191,194,198,202,204,205,207,204,249,170,134,215,209,207,207,204,204,203,203,203,142,154,160,164,173,183,187,192,195,199,202,207,211,211,212,205,255,184,114,221,201,208,210,208,208,207,206,204,145,157,163,168,178,186,190,195,200,204,210,210,213,218,218,225,230,165,111,247,173,180,221,212,212,211,211,210,150,162,167,171,181,190,193,199,204,212,209,216,226,199,237,255,234,219,166,227,198,133,229,216,217,215,215,215,154,164,170,177,187,194,199,202,202,200,236,255,255,200,145,179,238,254,210,143,199,127,175,234,221,220,220,219,158,169,175,182,191,197,200,238,235,199,241,214,232,245,209,80,132,190,125,105,170,169,125,190,234,224,226,224,163,173,178,186,197,198,233,239,209,218,183,121,114,222,237,124,133,139,101,178,185,183,138,142,242,229,231,229,166,177,182,190,200,208,252,175,110,177,111,102,72,93,138,97,112,88,80,213,228,226,155,144,245,233,235,234,169,179,184,192,204,215,255,195,123,188,156,146,109,122,105,80,88,91,88,218,255,246,165,148,250,237,239,239,173,181,187,197,209,213,255,217,159,202,225,197,163,145,129,122,111,105,92,195,255,245,164,154,253,240,242,242,177,185,190,201,214,216,255,244,210,190,189,148,151,161,159,170,137,153,143,186,255,238,151,152,255,243,247,245,180,188,193,204,217,221,255,247,194,171,166,150,158,170,191,185,199,223,251,249,231,202,138,148,255,248,251,250,183,192,196,208,220,224,255,247,188,158,153,162,168,187,209,220,250,255,255,249,199,153,134,143,255,252,253,253,186,195,200,212,223,225,255,255,214,171,154,176,177,196,235,244,255,255,255,229,175,137,116,163,255,255,255,255,190,197,203,214,226,228,255,255,234,196,161,159,177,214,247,252,255,255,255,212,159,127,101,235,255,255,255,255,192,199,205,217,229,231,255,255,254,222,185,159,178,210,245,255,255,255,239,191,155,100,158,255,255,255,255,255,194,201,208,221,231,236,250,255,255,238,204,181,181,197,237,255,255,255,222,171,137,96,233,255,255,255,255,255,199,202,212,224,233,242,247,255,255,255,218,206,200,195,231,255,255,246,200,157,111,129,255,255,255,255,255,255,201,206,215,226,237,244,246,255,255,255,241,222,211,193,242,251,255,220,174,140,90,199,255,255,255,255,255,220,204,210,218,229,240,247,250,250,255,255,254,235,219,190,231,242,229,191,149,112,108,255,255,255,238,171,102,65,206,211,221,232,242,250,255,247,255,255,255,242,220,190,188,227,201,165,135,88,203,255,194,124,76,56,56,54,210,213,224,235,244,251,255,255,248,255,255,242,221,192,171,201,194,154,117,128,237,123,61,52,58,52,55,47,213,216,227,237,246,254,255,255,248,255,253,232,214,182,167,181,176,144,108,129,110,64,75,45,43,64,47,39,215,219,228,239,247,254,255,255,254,255,231,209,206,181,172,168,157,144,110,65,47,62,85,48,22,54,61,32,211,217,227,240,248,252,255,255,247,255,248,223,226,204,178,167,148,144,97,67,50,32,75,65,18,33,66,51,213,219,230,241,250,255,255,255,239,255,255,245,249,209,184,168,144,141,88,62,63,23,43,75,34,18,48,62
2,152,162,167,167,171,174,178,182,184,186,188,186,189,194,196,194,199,201,203,200,201,203,203,203,203,204,204,205,154,163,168,169,173,177,179,183,184,184,188,205,219,218,206,204,205,183,164,201,199,199,204,202,203,203,203,203,154,163,168,171,175,179,182,182,191,206,217,207,185,171,143,141,160,139,114,148,155,140,191,205,202,203,202,202,156,164,168,171,176,182,180,193,234,225,182,150,136,134,122,118,121,120,122,126,117,118,190,207,202,202,202,202,158,166,170,172,178,180,197,236,218,169,121,110,114,114,113,116,113,107,123,136,148,190,206,202,202,202,202,201,160,168,172,175,180,183,235,224,153,123,111,100,113,106,104,109,113,140,190,205,208,207,205,204,204,204,203,203,162,169,173,178,181,196,245,193,127,111,108,110,117,105,115,112,182,213,208,207,207,207,207,207,205,204,205,204,164,171,174,180,181,206,244,179,127,109,103,111,108,112,112,138,218,210,210,211,210,211,211,208,212,190,202,208,166,173,177,182,182,223,236,157,112,104,105,104,99,110,106,185,220,214,214,213,215,216,211,215,216,166,203,212,169,176,178,184,184,240,226,157,127,117,116,105,106,106,137,223,216,217,217,217,217,217,216,225,189,151,216,214,172,179,181,184,194,253,223,167,136,124,114,109,123,111,171,229,218,220,221,220,220,217,217,216,161,167,226,215,174,180,184,185,217,255,218,168,133,123,109,111,120,109,196,228,221,223,224,222,225,212,206,201,139,175,229,218,177,182,185,188,225,255,214,163,131,122,110,111,113,110,203,233,224,225,225,226,223,202,207,182,130,166,233,221,179,184,187,189,226,255,210,159,132,119,110,107,116,119,162,223,221,229,234,231,211,211,207,171,125,191,233,224,180,185,190,190,222,255,211,167,138,121,110,109,123,139,134,153,170,174,202,203,206,212,205,155,159,235,227,229,182,187,192,191,225,255,211,170,140,124,110,113,137,147,146,159,175,176,163,186,211,205,177,143,225,234,230,230,185,188,194,194,234,254,211,175,146,127,110,120,143,141,147,165,180,190,187,178,199,191,139,197,241,233,234,232,187,190,195,197,240,250,211,178,154,131,113,125,142,143,164,179,187,180,178,167,169,149,164,244,234,236,236,235,189,192,199,199,239,244,210,182,159,134,117,128,146,157,181,184,180,170,158,152,140,128,229,242,237,238,238,237,191,194,200,203,240,238,208,186,166,136,122,131,148,162,175,178,169,159,149,136,123,200,248,238,239,240,239,238,193,195,202,204,233,230,205,193,173,139,131,133,146,163,166,170,164,152,136,141,218,249,241,243,241,242,242,241,195,197,204,205,227,225,209,201,176,144,138,133,149,160,164,164,159,138,151,238,251,242,244,244,244,244,244,244,197,199,205,207,228,226,215,201,171,148,143,135,154,157,158,158,140,139,235,251,242,245,245,245,245,245,244,245,199,201,208,213,237,228,213,193,169,154,147,135,150,150,147,134,142,227,252,244,247,246,246,246,246,246,245,245,201,203,208,218,245,229,218,195,170,154,145,136,143,147,124,164,240,252,246,249,248,249,248,247,247,245,246,250,202,205,209,224,246,230,225,195,166,150,142,136,143,126,161,250,251,247,249,250,249,250,249,248,250,255,254,233,203,206,211,226,237,224,213,184,152,140,135,138,133,145,241,249,249,250,250,250,250,250,252,255,244,205,156,120,205,208,212,225,226,218,211,185,148,140,141,146,125,197,252,248,251,251,251,251,250,253,237,185,137,106,99,100
4,150,153,158,160,163,165,167,169,171,172,172,173,175,176,177,177,177,175,177,176,176,176,175,174,174,173,173,173,150,154,158,161,163,164,166,169,171,172,173,175,176,177,177,177,178,177,179,178,177,176,175,175,175,175,175,174,152,156,159,162,164,165,168,170,171,173,175,175,177,186,181,164,167,187,171,166,177,179,177,178,177,176,174,174,153,158,160,163,165,168,169,171,172,174,182,176,180,208,181,161,151,199,169,141,154,179,178,179,178,177,175,175,155,158,160,164,166,169,171,172,173,194,215,190,167,208,187,160,167,205,171,133,131,172,152,171,180,178,177,176,156,159,162,165,167,170,172,174,175,216,232,209,151,181,197,154,178,208,170,130,169,164,122,127,177,177,176,177,156,160,165,166,170,171,173,174,185,220,223,198,141,166,197,154,180,199,167,167,184,140,110,96,162,180,178,178,158,162,165,168,171,172,174,173,202,209,206,186,129,147,180,183,184,194,210,218,177,117,96,90,161,181,179,179,158,162,166,169,172,174,175,175,214,202,192,184,125,124,166,178,197,212,221,209,182,134,92,89,168,182,181,181,158,162,167,170,172,175,175,190,223,197,173,179,125,108,158,126,154,186,192,184,190,151,102,98,176,183,182,181,159,163,166,170,172,175,175,210,213,177,158,142,105,109,157,107,133,168,153,180,199,164,114,119,183,184,183,182,160,164,167,171,173,175,180,225,204,164,144,135,114,117,131,110,128,160,110,185,215,181,130,120,184,184,184,183,162,165,168,172,174,175,186,234,205,163,136,122,110,119,118,127,134,151,140,187,223,194,143,105,167,186,185,184,162,165,170,172,175,176,196,239,205,162,133,118,113,122,125,158,162,185,203,198,207,187,147,108,138,188,186,186,162,166,170,173,176,177,208,240,205,158,135,129,119,117,131,169,186,209,206,203,178,164,151,117,132,189,187,187,162,167,171,174,177,176,216,239,203,158,153,146,126,128,165,203,214,212,204,188,160,137,139,113,153,190,188,187,162,165,169,172,175,176,221,237,204,175,179,158,146,185,218,230,218,210,195,170,144,122,113,115,178,188,187,187,162,165,169,172,176,178,224,238,217,201,194,165,169,219,231,237,219,196,180,157,136,114,101,149,190,188,187,187,162,166,170,173,177,178,223,241,229,209,195,178,176,225,234,232,210,177,164,147,130,107,116,182,190,189,189,189,162,166,170,174,177,178,217,242,232,211,192,182,185,228,229,215,194,164,150,138,119,102,155,192,191,189,189,189,163,168,171,174,178,177,208,239,224,210,194,184,189,215,211,193,173,153,145,131,105,121,186,192,192,190,190,189,164,168,171,174,178,178,205,230,211,204,199,186,186,199,196,179,157,145,141,119,103,165,193,191,191,191,189,188,163,166,171,174,178,178,200,220,200,201,200,183,178,196,193,173,146,134,129,109,140,192,193,192,190,190,190,188,161,165,170,173,176,177,194,217,200,199,194,179,169,193,192,160,131,123,116,123,181,192,191,191,190,189,189,188,136,138,138,139,141,140,164,224,211,205,191,181,165,185,184,146,121,115,106,120,141,139,138,138,137,137,136,138,103,102,101,101,103,101,129,230,224,212,198,188,166,176,182,144,117,106,101,96,96,95,95,93,93,93,93,95,107,107,106,107,109,108,122,224,229,211,199,191,164,162,184,147,113,101,98,100,100,100,98,97,98,96,103,156,108,108,108,109,109,109,114,214,227,206,191,188,165,153,178,144,110,98,96,101,102,102,99,99,100,97,161,215
24,169,174,180,183,187,190,193,196,199,201,204,207,208,210,211,213,213,214,214,214,215,216,215,216,216,215,215,214,171,176,181,185,189,192,194,198,201,203,206,208,210,212,214,214,214,215,215,216,217,217,218,219,218,218,217,217,172,178,182,189,191,194,196,199,202,205,208,210,212,214,215,215,216,218,218,218,219,219,220,221,220,219,220,220,174,180,186,178,193,196,198,201,204,207,210,212,214,215,217,218,219,220,221,220,221,221,221,222,221,221,222,221,174,183,191,139,171,201,198,203,206,208,211,213,215,217,219,220,220,221,221,222,222,221,222,222,222,223,222,222,176,184,184,134,132,205,200,205,207,210,213,214,215,218,221,221,221,222,223,225,225,222,224,225,225,225,225,225,177,184,191,151,113,191,204,204,210,212,213,217,220,222,222,226,225,222,225,225,226,225,225,226,226,226,226,226,178,184,194,166,110,166,211,207,210,213,218,216,204,216,227,205,214,229,224,226,228,227,226,227,227,227,226,228,181,187,194,181,132,132,210,206,175,163,206,213,175,144,185,192,154,205,232,226,228,227,228,228,228,220,203,169,181,188,192,199,157,112,179,201,181,168,172,222,194,142,165,205,151,142,236,228,228,229,229,229,221,203,163,144,183,187,192,201,174,137,142,190,217,199,166,211,206,158,183,206,150,123,222,233,231,231,229,224,209,170,145,222,183,189,193,197,196,167,140,132,215,210,163,192,212,158,178,207,151,110,203,238,230,232,225,221,193,135,193,241,184,190,195,198,205,175,150,151,177,220,178,171,217,164,165,213,168,105,191,241,233,222,223,216,162,131,232,234,186,191,196,200,205,190,199,185,159,197,182,137,198,160,142,211,183,109,157,243,211,207,220,189,128,196,240,233,186,192,197,201,202,212,211,161,133,153,174,115,169,159,132,242,211,104,105,166,184,205,194,137,166,244,233,236,185,191,197,201,203,210,200,167,146,144,163,139,157,169,131,164,147,108,147,176,186,183,151,135,231,237,236,237,186,192,196,200,203,206,222,204,165,150,148,160,136,191,155,136,191,201,206,193,164,152,120,190,244,233,237,236,186,193,197,199,203,207,222,214,189,171,151,141,146,183,203,231,228,215,202,183,150,129,139,234,235,235,236,236,186,192,197,200,204,207,221,223,212,184,154,134,169,209,232,225,218,204,190,168,141,124,209,240,235,238,238,237,187,192,197,200,206,207,221,229,221,184,153,150,186,218,230,223,211,192,172,156,123,176,243,235,238,238,238,239,186,191,197,201,205,207,215,224,227,192,175,180,182,218,226,222,204,185,163,138,132,232,237,235,237,238,238,238,182,189,195,199,204,209,212,219,223,199,181,188,168,202,216,210,195,181,153,123,194,248,238,240,239,240,241,240,142,145,146,148,151,157,157,189,218,198,183,181,152,174,198,184,176,161,136,143,216,217,221,223,225,229,233,234,134,134,135,136,136,137,133,147,220,203,176,166,142,167,193,175,156,142,128,138,142,143,146,148,149,153,153,152,138,139,142,143,143,143,145,140,209,195,165,156,151,170,189,167,144,127,127,146,145,146,146,147,143,140,148,161,137,137,139,139,139,141,142,139,212,191,175,171,170,171,178,157,131,119,134,147,147,147,148,151,168,203,211,199,138,139,141,141,141,142,141,144,225,206,194,189,176,164,171,146,126,118,140,148,147,149,143,167,227,219,234,209,139,140,141,141,141,142,141,149,219,206,202,193,164,155,164,137,126,115,140,148,147,148,147,215,246,213,201,233
18,183,185,189,191,194,197,199,200,203,204,207,206,207,207,208,209,211,211,211,211,211,212,212,212,212,211,211,210,185,188,190,193,196,199,201,203,205,206,209,208,209,210,210,212,213,213,214,214,212,212,214,214,214,214,213,212,187,189,193,195,197,200,204,206,208,209,211,211,212,212,213,214,214,214,214,214,214,215,216,216,217,217,217,216,190,192,195,197,200,203,206,209,210,211,212,213,214,215,215,216,217,217,219,217,217,219,218,219,219,219,219,218,191,193,196,199,203,206,209,210,212,213,216,215,216,219,219,219,217,216,204,216,222,224,223,219,220,220,220,219,192,195,199,202,204,207,210,212,214,215,217,217,219,221,219,216,236,208,164,157,220,207,205,226,224,221,221,222,194,197,201,204,205,208,212,212,216,219,218,221,223,220,193,165,213,184,131,127,133,177,154,177,233,223,225,225,196,199,203,205,207,210,212,216,218,219,220,215,215,248,188,153,186,178,134,129,108,171,176,121,202,233,225,225,197,202,204,207,211,212,215,218,219,219,230,200,155,200,213,180,192,200,181,178,160,147,160,122,164,241,225,227,198,202,207,211,212,214,217,219,220,223,243,217,181,142,201,198,161,204,213,212,208,171,120,105,163,242,229,231,201,203,207,211,213,216,219,222,222,229,226,236,212,159,146,197,145,161,212,209,212,176,125,90,175,242,231,233,202,204,209,211,214,217,219,222,222,233,192,208,205,178,120,153,162,138,178,174,202,183,137,90,184,243,231,233,203,207,211,214,217,218,221,223,224,236,175,155,190,150,104,121,150,116,125,164,212,200,152,96,203,239,232,234,205,207,211,215,218,219,223,225,227,239,212,176,173,126,93,113,131,101,103,120,225,211,167,106,209,243,233,234,207,210,212,216,218,221,224,227,230,238,208,164,158,126,92,104,131,87,87,154,229,228,183,118,144,247,234,236,207,211,213,216,218,221,224,226,230,237,220,182,152,128,91,106,132,87,163,236,230,221,180,137,107,228,243,238,209,212,214,217,219,223,226,228,228,242,233,199,161,131,116,106,107,167,248,244,237,206,164,136,118,230,242,240,211,213,216,219,221,225,227,229,229,243,235,202,169,148,138,131,159,235,250,238,221,195,146,119,131,245,240,240,212,214,216,220,223,226,229,232,231,240,237,212,187,172,156,143,189,243,250,230,194,171,139,105,157,251,239,241,211,214,217,219,223,226,230,233,230,238,236,217,194,172,160,147,189,242,249,219,186,157,131,104,185,252,240,242,212,215,218,221,223,227,229,234,232,232,233,219,194,173,182,155,176,240,243,205,172,144,124,106,213,250,242,244,213,216,218,223,225,228,232,232,235,231,229,224,203,190,194,161,157,239,225,190,155,133,117,119,236,248,245,245,213,216,220,223,226,230,231,231,234,232,225,221,209,190,194,170,150,229,209,173,144,125,110,142,253,245,246,247,214,217,218,222,225,227,229,230,233,235,229,223,213,192,186,169,144,215,196,153,135,124,103,173,255,244,247,247,212,215,217,221,226,225,228,231,234,234,233,232,212,187,174,150,132,194,171,135,128,123,109,213,251,245,247,246,212,214,219,221,226,227,229,232,234,225,237,231,199,176,150,128,140,179,151,138,131,114,153,248,243,245,246,247,213,216,220,223,226,228,231,233,233,226,248,227,200,183,155,151,149,175,142,141,127,114,217,249,245,246,246,246,213,216,220,223,227,228,231,234,231,231,247,234,213,196,164,152,164,162,143,139,106,168,251,243,247,246,247,248
23,146,149,150,154,160,165,168,171,174,176,178,180,181,184,185,186,187,187,187,187,186,186,185,185,184,183,183,183,147,150,151,156,161,165,170,171,174,177,179,181,183,185,186,188,188,187,187,187,188,187,187,186,186,185,185,184,147,151,152,157,162,166,170,172,175,178,180,182,185,185,187,188,189,188,187,188,189,189,187,187,187,187,186,185,148,151,153,158,163,167,171,174,176,180,182,184,186,188,188,188,189,189,189,190,191,190,189,188,188,187,187,186,149,152,154,159,165,169,173,176,178,181,183,185,186,188,190,191,191,191,191,191,187,173,171,182,188,187,188,187,151,152,155,160,166,171,175,177,180,182,185,186,188,189,191,193,193,192,190,188,182,167,161,153,170,174,190,188,151,153,154,161,166,171,175,178,180,183,186,188,189,191,192,193,195,196,183,186,180,147,166,159,139,116,189,190,151,155,158,163,167,172,176,179,182,185,187,190,192,193,195,195,202,190,157,159,137,92,128,121,111,155,191,191,153,157,159,163,168,173,177,181,184,186,189,191,192,194,195,200,202,182,132,85,123,161,191,184,186,193,193,193,154,157,160,164,169,173,177,181,184,187,190,191,192,194,195,206,196,180,141,118,193,193,194,196,196,195,194,194,155,157,160,165,170,176,179,182,185,187,190,192,194,194,193,198,186,185,171,167,182,161,139,191,197,196,195,195,156,158,162,167,172,177,181,184,186,189,193,193,197,183,177,177,186,190,189,195,184,157,92,163,199,197,196,195,157,159,162,167,173,177,182,184,186,190,193,200,198,176,156,156,163,164,161,172,165,143,87,146,200,198,197,197,158,159,161,169,174,178,182,185,187,191,194,203,195,167,142,133,166,175,168,157,138,134,96,134,202,200,199,197,159,160,162,169,175,179,183,186,190,192,198,208,195,167,143,141,149,165,170,173,156,121,81,123,203,201,200,199,159,160,164,170,176,180,183,188,191,192,206,209,198,180,177,173,160,141,128,137,143,111,68,130,204,202,200,200,159,161,165,171,177,181,185,189,193,196,211,209,197,179,180,165,179,160,137,124,97,83,60,125,191,203,202,201,159,161,166,172,177,181,186,189,193,209,214,212,190,167,157,133,174,174,150,115,85,68,83,130,148,203,203,202,159,161,166,172,177,182,187,188,205,220,214,201,161,123,118,108,116,152,157,107,71,67,91,110,87,151,204,203,161,163,167,172,178,184,186,200,222,221,206,183,157,118,78,84,108,186,169,99,68,65,90,85,63,67,190,204,162,163,167,173,178,183,194,221,224,213,195,172,155,119,73,102,150,173,142,83,63,60,87,79,63,60,169,204,162,164,167,173,178,182,219,226,218,201,181,173,151,110,66,63,94,111,96,62,56,76,84,76,66,90,191,205,162,164,168,174,179,199,229,223,212,193,178,166,138,106,77,54,60,70,74,68,62,84,87,80,113,187,207,206,161,162,168,173,187,227,222,215,201,182,168,153,126,97,71,66,85,92,89,82,70,76,96,154,203,208,207,207,160,161,151,147,214,225,212,203,187,171,156,139,112,89,68,81,97,100,91,79,76,121,193,207,209,208,207,207,160,161,95,62,199,216,200,187,169,154,141,125,101,82,72,88,93,85,72,85,165,206,210,209,209,208,208,207,159,140,66,52,90,163,183,169,159,146,134,115,94,72,70,82,78,68,94,179,210,211,210,210,209,208,208,208,159,91,53,51,54,68,108,130,132,127,116,106,78,53,51,61,66,113,192,211,211,211,211,211,211,209,209,208
13,182,183,184,185,186,187,188,188,187,187,187,187,187,187,186,185,184,184,182,182,181,180,179,178,177,177,177,175,184,185,185,187,188,189,190,191,190,189,188,188,188,188,187,185,185,184,184,184,182,182,180,179,178,178,177,177,185,186,188,188,190,191,191,192,192,190,190,189,190,188,189,187,186,185,186,186,184,184,182,181,180,180,179,178,187,189,190,190,191,192,191,192,191,191,192,190,190,191,191,190,189,192,189,186,186,184,184,184,183,182,180,180,188,190,190,191,192,193,193,193,192,192,193,192,192,192,190,190,174,164,187,188,186,193,186,184,184,185,183,181,189,192,193,193,194,194,195,195,195,198,195,195,190,191,195,188,149,96,114,185,154,146,184,188,185,186,185,183,191,192,194,194,196,197,195,200,187,165,195,200,165,141,187,177,143,102,74,140,137,87,118,193,186,186,186,184,192,193,196,198,197,197,202,211,188,125,139,194,162,117,167,184,138,112,74,126,131,107,78,164,194,186,186,185,194,195,198,199,199,196,226,217,188,136,136,189,153,123,185,211,152,112,85,155,143,116,67,155,197,187,187,186,196,197,199,199,199,199,233,220,192,137,147,194,149,118,214,216,146,102,121,189,140,100,70,168,196,189,188,188,197,198,200,200,198,221,232,206,194,130,141,189,154,103,157,186,118,92,105,133,101,74,79,186,194,191,191,190,198,200,202,199,210,231,205,179,153,103,138,184,146,107,59,89,118,112,101,100,105,77,109,201,192,193,193,192,199,201,202,198,225,229,191,147,114,85,131,150,126,84,39,54,99,96,119,141,142,109,123,205,193,195,194,192,200,202,202,203,240,237,215,172,138,80,112,124,102,101,128,166,170,162,164,150,159,139,101,190,199,196,195,194,201,203,202,213,245,232,216,203,176,119,116,156,174,205,210,202,193,183,174,138,128,124,92,159,207,197,198,196,204,205,202,218,244,231,220,208,179,165,170,202,216,208,201,193,186,172,160,140,118,121,96,134,210,198,199,197,205,206,202,222,242,232,221,208,186,185,196,208,217,205,198,193,184,168,151,140,125,117,95,115,210,199,199,198,205,205,203,223,240,230,221,206,189,186,196,205,218,206,199,193,175,156,144,132,114,109,77,142,210,199,199,199,206,206,203,218,237,228,217,197,180,178,190,199,204,200,195,181,161,147,134,117,105,74,113,207,201,201,201,200,204,210,217,215,224,218,198,178,170,184,191,193,187,189,184,168,155,136,117,102,73,82,197,207,203,202,201,200,213,189,142,203,215,203,193,184,179,190,196,187,176,170,163,146,128,110,92,66,88,188,210,204,205,203,202,200,214,135,64,114,220,216,211,208,188,178,191,178,154,140,143,125,105,79,85,140,202,211,206,206,205,205,203,202,162,94,102,82,128,209,217,208,187,166,176,161,133,123,122,97,69,114,198,218,209,206,209,207,206,205,204,203,111,92,93,94,80,110,163,161,157,154,169,144,120,111,93,69,149,216,214,208,210,210,208,208,207,206,205,204,101,92,87,88,96,50,59,76,75,79,93,94,91,84,63,157,227,212,210,212,211,211,208,209,208,207,206,205,94,87,86,83,94,73,36,66,65,57,52,51,51,54,52,173,216,215,213,212,212,210,209,210,210,207,207,205,90,88,83,80,89,81,29,52,61,54,54,51,49,44,25,66,217,213,212,212,212,210,209,210,209,207,206,205,89,85,83,73,84,76,27,44,55,51,52,48,49,42,22,155,223,210,212,212,211,210,209,208,208,206,205,204
23,185,186,186,184,185,186,186,185,183,183,182,181,180,179,178,178,177,176,173,172,171,170,167,166,166,156,57,35,188,188,188,187,187,188,188,187,186,185,185,184,182,181,181,180,179,178,176,174,173,172,170,168,169,151,44,31,189,189,189,189,190,190,190,189,190,188,187,187,186,184,183,182,180,179,178,176,175,174,173,171,175,128,34,27,192,192,191,192,193,193,194,193,191,189,188,188,188,187,187,185,184,181,180,179,179,177,175,172,178,105,25,22,195,194,194,195,196,195,195,195,194,193,192,190,181,183,185,183,178,183,183,181,180,179,176,174,175,80,24,16,196,197,196,196,197,196,196,196,195,194,194,179,151,144,155,155,142,125,176,184,181,180,179,177,173,59,23,11,197,198,199,199,200,199,197,198,197,196,190,169,172,151,148,158,150,102,114,191,184,182,181,180,180,77,23,12,200,200,200,201,200,201,200,199,199,198,189,174,156,120,102,130,122,116,77,149,190,184,182,181,184,104,34,14,201,200,201,202,201,202,202,200,200,197,190,169,139,90,127,140,147,119,103,80,164,188,184,181,183,131,95,22,202,201,202,202,203,203,203,202,201,193,186,152,142,92,192,200,199,168,119,87,142,191,186,184,182,152,125,63,203,203,203,203,203,204,204,204,202,186,176,137,137,125,203,200,198,199,187,174,188,190,187,186,185,163,114,147,204,204,204,204,206,206,205,206,197,182,169,129,124,159,185,175,171,158,164,197,193,190,188,187,186,168,139,143,205,206,207,207,207,207,206,205,182,172,161,146,149,160,165,166,165,145,94,185,189,190,189,188,187,178,160,156,208,208,208,207,207,207,207,184,157,156,161,170,179,187,185,177,161,135,90,171,176,158,188,189,187,186,171,128,208,209,209,208,208,209,200,181,166,158,160,163,172,167,157,148,138,134,100,145,182,139,159,194,189,187,185,145,209,210,210,209,209,210,199,180,168,154,148,154,161,165,168,161,146,131,105,79,143,115,135,197,190,188,187,179,211,211,212,211,210,212,193,185,186,163,154,154,160,166,160,158,153,96,73,45,83,69,132,199,192,190,187,186,212,214,215,215,213,215,187,184,182,158,150,158,166,168,163,158,141,84,52,35,47,77,183,195,193,190,188,186,214,215,215,215,214,216,187,169,181,174,174,174,169,167,157,142,107,68,52,45,59,172,200,195,193,192,190,187,213,214,214,214,214,215,185,165,190,184,178,171,146,130,113,86,79,69,52,47,147,204,197,194,194,192,190,187,214,215,214,214,215,216,184,168,184,175,168,156,128,89,54,58,77,63,49,76,196,197,195,193,192,190,189,188,215,216,216,215,215,218,184,169,174,167,166,158,127,77,44,58,56,53,50,122,206,197,195,193,192,193,186,168,215,216,216,216,216,218,182,170,169,166,170,166,119,62,38,41,48,59,55,166,204,199,196,198,194,159,122,130,216,217,217,217,217,219,182,167,168,177,180,156,103,69,48,52,64,63,77,199,202,202,197,154,114,74,124,136,219,220,221,221,220,223,179,162,170,184,176,140,99,75,54,57,69,56,132,213,201,169,113,57,50,51,129,147,162,167,170,174,179,185,160,162,176,185,170,130,93,77,57,56,60,74,188,169,109,66,47,45,42,41,108,157,102,102,101,100,102,101,136,166,175,177,159,122,90,75,56,53,58,76,96,66,42,53,40,44,34,38,67,157,114,114,115,114,110,110,148,167,169,164,141,111,82,68,53,49,58,56,59,42,36,53,38,38,35,36,36,110
12,182,185,187,186,186,188,189,187,188,190,189,188,190,192,190,190,190,190,189,190,190,191,188,189,188,187,188,188,186,188,188,189,189,190,191,191,191,192,192,193,193,190,193,195,192,190,191,191,192,193,191,191,191,190,189,187,188,189,190,191,192,193,193,195,193,194,193,180,190,208,182,169,190,196,194,194,194,196,194,192,192,192,191,190,189,191,193,193,194,195,193,195,192,225,209,172,149,232,202,154,141,203,194,197,200,195,196,195,195,194,194,193,191,194,196,196,196,196,198,196,201,253,231,196,129,205,236,183,108,180,191,159,178,203,197,198,198,197,197,195,194,195,197,199,198,199,199,197,207,254,248,207,141,164,250,199,142,102,184,155,108,185,203,200,201,199,198,197,196,197,198,199,199,202,203,199,211,243,251,214,159,130,240,208,169,93,148,169,88,131,214,200,204,202,202,200,196,198,200,200,201,203,204,200,215,228,239,230,175,112,203,217,170,112,87,149,97,120,218,203,205,203,203,201,198,200,202,204,204,205,204,204,206,185,216,230,205,159,137,204,156,96,48,101,94,131,218,204,206,205,205,204,201,202,204,205,207,199,209,236,175,143,169,194,206,157,88,112,115,56,84,131,77,148,219,206,208,206,206,207,201,201,205,209,203,220,250,223,142,116,124,114,157,118,81,97,140,113,166,147,78,179,215,208,210,209,207,207,203,205,205,203,219,255,231,191,143,118,78,72,95,142,132,149,193,222,194,126,77,203,220,210,212,211,210,209,203,205,207,207,243,223,195,203,167,136,82,76,82,81,94,119,176,232,238,213,144,119,203,216,212,211,211,211,205,204,205,212,242,212,181,208,179,138,94,69,92,95,92,84,182,219,240,217,173,123,113,219,213,212,212,211,206,204,203,232,239,208,165,192,196,184,138,77,96,118,105,180,228,215,207,185,176,167,100,192,220,214,214,213,206,208,207,227,253,226,183,132,191,219,158,92,92,121,179,235,228,216,199,151,158,149,102,205,219,215,215,215,207,208,209,220,252,239,208,153,137,175,208,176,95,199,244,227,218,204,187,148,126,105,120,227,216,215,216,216,208,208,209,220,253,247,217,174,168,144,157,154,178,252,243,229,211,194,171,141,107,77,166,228,218,219,217,216,208,209,210,217,244,248,231,188,185,177,131,167,246,245,245,225,194,178,149,134,93,86,211,220,218,220,219,218,208,208,208,211,235,242,242,210,193,180,172,166,239,244,240,213,174,156,135,129,80,128,231,217,220,220,220,219,207,206,209,206,222,245,245,230,206,184,186,160,222,242,222,199,156,133,139,117,70,175,228,217,220,220,219,218,207,208,211,207,204,247,247,232,210,188,181,171,202,234,200,175,141,125,143,98,85,217,221,220,219,219,218,217,208,210,211,215,202,234,234,209,197,186,181,179,184,205,183,150,133,134,129,76,141,232,218,220,219,219,220,219,208,210,212,218,205,227,222,192,184,180,182,173,175,184,171,156,129,126,103,89,211,225,221,221,219,219,219,219,208,212,212,215,209,222,219,195,194,194,186,172,168,185,181,148,110,108,77,166,231,220,222,221,221,221,221,220,209,210,213,213,209,218,226,207,205,200,191,182,164,192,172,122,99,83,112,227,219,223,221,222,222,222,221,220,206,209,213,216,213,215,236,211,214,208,194,192,154,187,151,115,97,75,188,231,222,224,223,223,222,222,221,220,132,135,136,144,140,187,247,223,220,218,201,194,149,173,144,118,83,93,207,208,211,214,217,219,220,221,220,220
4,156,158,159,163,164,167,170,171,170,173,174,174,175,176,176,176,176,176,175,174,175,174,174,174,173,172,171,171,156,159,160,164,165,168,170,171,172,173,175,175,175,178,178,177,177,178,177,175,176,174,174,174,175,174,174,173,157,160,162,164,166,168,170,172,173,174,177,176,176,177,179,179,178,178,178,178,177,176,176,175,176,175,174,172,158,161,164,166,168,170,171,173,175,174,176,177,177,186,174,166,180,181,170,178,179,178,178,177,176,174,174,174,159,163,165,167,169,171,173,174,175,176,178,175,195,201,171,141,178,188,154,144,180,180,180,179,177,176,175,175,160,163,167,168,170,172,174,176,173,205,204,174,179,213,172,144,195,187,158,108,167,165,170,181,179,177,176,175,161,165,167,170,172,172,175,175,183,233,230,189,139,208,176,141,211,190,143,131,181,139,117,172,179,177,178,177,163,166,167,172,174,173,177,173,203,223,225,176,129,203,178,148,205,183,168,184,152,125,91,134,184,179,179,179,164,166,169,172,174,176,177,176,220,199,213,161,114,179,187,189,191,210,231,197,131,95,88,123,185,181,181,180,164,168,171,173,175,178,177,185,223,190,198,169,96,160,171,192,207,218,212,193,156,101,76,135,186,182,181,180,165,168,172,173,176,178,176,212,217,183,175,170,90,145,144,122,171,191,182,196,171,119,77,149,187,182,182,181,165,169,172,174,176,177,183,227,195,164,154,123,90,147,144,92,174,149,163,210,182,137,93,169,186,183,182,182,166,170,173,175,177,175,197,229,185,150,141,125,113,127,125,102,167,123,140,229,201,154,104,174,187,184,183,183,167,171,173,176,178,174,213,231,185,147,128,112,115,120,121,132,145,151,167,224,210,162,106,137,190,186,185,184,167,171,174,177,180,176,227,229,185,144,125,113,119,118,143,166,180,207,208,197,195,157,121,108,187,187,186,186,169,171,175,178,180,180,235,228,180,141,140,125,117,113,159,189,211,209,203,185,155,158,129,113,186,187,187,186,168,171,175,178,179,187,241,225,178,155,162,137,122,154,204,219,212,208,190,164,133,134,110,138,191,187,187,186,166,170,172,177,178,191,242,223,191,188,175,143,178,218,233,224,210,199,174,147,125,109,103,173,189,188,187,186,168,171,174,177,178,195,242,231,212,202,186,152,208,229,235,230,195,182,160,140,118,97,134,191,188,189,187,187,168,171,175,178,179,194,243,238,219,198,190,163,214,233,232,218,180,163,149,134,110,101,179,191,190,190,188,187,169,172,175,179,180,186,240,236,221,199,185,177,215,229,214,196,168,149,141,121,96,141,194,191,190,189,189,188,170,172,176,179,181,183,234,227,212,202,187,182,201,209,193,172,155,148,136,105,105,186,194,192,190,189,189,187,169,171,176,179,182,183,229,214,203,207,194,183,193,201,184,162,143,141,124,96,157,196,192,192,191,189,188,186,168,173,176,180,183,182,223,204,202,205,188,170,189,202,180,149,129,128,109,130,194,195,194,191,191,190,189,188,163,165,168,171,175,172,221,212,207,197,185,168,180,200,166,131,120,116,109,169,181,180,180,178,177,177,176,172,114,114,114,114,115,110,214,225,217,202,188,172,169,194,157,123,114,106,99,107,107,106,106,104,105,106,101,116,102,103,104,103,105,96,202,238,222,207,197,177,157,191,163,122,105,99,98,97,95,96,94,94,94,90,130,199,108,108,109,110,111,100,187,238,220,201,195,176,148,184,164,118,102,97,100,101,100,99,100,99,93,141,214,211
7,163,167,173,178,182,184,186,189,190,192,194,194,194,194,194,194,194,194,193,192,192,191,190,189,188,187,186,185,165,170,174,179,182,184,188,190,191,192,196,196,198,197,196,196,197,196,194,194,194,193,193,192,190,188,188,187,165,171,176,181,184,187,189,192,194,194,196,197,199,198,198,198,198,197,196,196,196,195,193,192,191,190,190,189,167,174,178,183,186,188,191,194,196,196,198,200,200,200,200,201,200,199,199,197,198,197,195,194,194,192,191,190,169,175,179,183,187,190,193,196,196,199,200,201,202,202,201,201,203,203,203,199,195,195,195,197,195,193,193,192,171,176,180,185,189,192,193,196,197,201,201,203,206,207,206,202,199,193,190,169,188,217,173,194,199,196,194,193,173,177,183,187,191,193,195,199,200,201,203,203,198,188,183,185,182,170,171,157,178,197,144,189,197,195,198,195,174,178,185,189,192,194,197,199,198,198,192,180,166,145,158,174,177,155,143,134,128,146,151,206,217,149,197,198,176,181,187,191,194,196,193,173,168,169,168,167,159,149,133,138,125,125,149,152,150,157,170,195,189,128,196,200,176,182,187,192,197,202,185,167,169,161,151,153,157,143,130,124,142,173,193,175,162,155,137,120,135,176,203,198,177,182,187,193,206,195,178,175,168,139,140,162,175,157,151,142,141,157,162,142,121,108,124,158,191,207,202,201,178,183,192,199,189,185,185,181,148,109,130,144,147,135,133,131,111,116,107,112,139,176,208,212,208,203,203,202,179,190,199,193,190,187,177,180,158,117,114,100,89,80,82,91,102,130,171,200,215,215,208,207,206,205,204,203,194,200,197,197,194,178,173,171,173,152,106,81,58,108,164,171,195,216,220,214,210,209,211,211,209,207,207,206,203,198,194,189,180,175,175,176,173,149,113,89,82,105,191,229,217,216,214,214,213,212,210,210,210,209,208,208,203,195,183,177,172,167,161,157,150,130,107,83,88,83,67,164,225,215,216,215,215,214,212,211,210,210,210,209,196,183,175,168,161,156,151,145,141,131,105,75,79,101,82,93,223,218,218,216,216,216,215,214,212,211,210,210,188,184,168,163,154,152,151,149,149,147,111,75,69,90,86,102,226,218,218,218,217,217,216,216,214,212,210,209,106,164,166,161,156,152,148,147,149,139,105,81,80,64,67,74,180,229,217,219,218,217,216,217,216,213,211,210,46,67,139,169,161,155,146,138,127,111,95,92,89,77,66,60,157,234,218,220,219,218,218,217,216,215,213,212,55,42,48,131,168,153,143,132,122,106,96,90,94,78,95,136,212,226,222,223,222,220,219,218,217,217,215,213,48,47,40,45,128,138,122,109,105,86,68,82,85,86,210,234,225,224,224,223,222,221,219,218,218,216,216,214,44,42,40,35,51,92,91,96,84,54,54,67,97,194,234,221,224,225,225,223,222,221,221,219,218,217,216,215,39,36,34,38,32,18,42,193,159,76,106,147,213,232,225,226,226,226,225,224,223,223,222,220,219,218,217,216,26,30,33,38,34,28,174,228,223,217,224,233,229,226,228,226,226,226,226,225,224,224,224,222,221,220,218,217,64,31,29,43,31,162,230,215,221,226,225,224,227,229,229,228,227,228,227,226,226,224,224,222,222,220,218,218,52,59,39,28,76,226,212,218,221,222,225,226,227,229,229,228,227,227,227,226,225,224,224,223,222,219,218,217,21,42,40,19,104,228,212,218,220,221,224,225,226,225,225,227,227,226,226,225,224,224,223,223,220,218,218,218
12,65,70,80,96,101,108,113,119,120,123,126,128,131,133,136,138,139,141,142,144,145,146,146,147,147,147,147,148,65,70,81,97,103,110,115,119,120,124,126,129,132,134,136,138,142,141,143,145,146,147,147,148,149,149,149,149,66,71,83,96,104,112,116,119,122,126,127,128,134,139,137,142,134,143,146,147,148,147,148,151,151,151,150,150,68,72,86,99,105,112,117,120,124,127,131,143,109,109,147,154,101,91,148,144,147,153,150,153,152,153,152,152,68,74,87,101,107,114,118,122,128,122,160,160,117,83,128,157,114,71,96,111,90,137,157,152,154,154,154,153,69,75,87,101,108,114,119,123,129,123,180,168,134,99,107,158,126,98,65,107,79,83,155,155,155,155,156,156,71,77,92,103,108,115,120,124,127,131,182,186,149,106,102,162,130,105,61,96,100,63,128,162,154,156,158,157,71,79,93,104,110,116,122,126,122,149,157,176,163,110,93,166,130,99,57,92,98,64,136,161,157,158,159,159,73,79,93,104,112,118,120,120,129,156,153,142,147,101,74,144,128,89,55,95,91,69,150,162,159,159,160,160,72,80,95,104,112,116,129,171,181,122,82,89,125,84,59,108,96,72,59,93,81,78,161,160,161,160,161,161,73,82,98,105,113,112,165,204,157,104,81,57,108,84,54,90,84,67,57,82,72,86,165,160,162,161,162,162,74,84,98,106,113,120,177,149,136,110,93,58,92,118,62,86,114,81,66,108,86,94,170,161,163,163,164,163,74,85,100,108,110,133,173,119,123,122,97,70,45,82,45,60,109,78,68,126,106,63,116,171,162,164,164,165,75,86,101,108,108,143,166,124,101,122,96,85,34,19,43,70,77,71,97,104,81,60,70,162,166,165,165,165,75,87,101,108,108,147,183,139,108,96,87,73,29,39,85,124,130,121,121,103,86,81,82,164,166,165,165,165,76,90,103,110,107,153,182,139,121,88,69,63,48,72,124,149,149,140,124,99,91,75,108,173,165,166,166,166,77,91,105,111,108,154,177,148,129,97,80,100,93,127,157,160,155,134,111,96,79,67,142,171,166,167,168,168,78,92,104,111,111,149,169,144,125,100,100,110,103,157,159,159,154,126,103,93,73,87,169,166,168,168,168,168,79,93,103,113,114,138,166,140,122,104,103,94,109,152,149,156,144,115,96,87,68,127,174,166,169,168,169,169,80,95,104,111,118,130,165,136,123,114,107,104,127,145,149,148,128,105,90,78,76,160,169,168,169,170,171,171,81,97,107,112,120,124,156,141,134,132,117,110,133,142,144,129,110,95,85,70,106,173,167,169,171,171,172,171,83,97,105,114,122,121,147,151,135,129,115,104,113,129,129,111,92,84,80,74,151,171,168,169,171,172,172,172,85,99,105,113,121,124,139,160,129,122,109,96,93,106,105,95,82,83,71,114,174,167,170,171,172,172,172,173,85,99,105,114,121,126,133,167,142,119,100,91,95,97,96,90,80,77,80,161,168,169,171,172,173,173,173,173,85,99,106,114,121,126,130,165,156,123,102,101,109,97,96,95,81,62,113,174,167,170,172,173,173,173,173,173,86,99,106,113,123,124,142,177,167,132,121,116,114,97,88,84,76,52,123,176,167,171,172,172,173,174,174,174,87,101,107,116,118,144,168,161,186,139,128,116,109,94,83,74,71,49,125,176,167,171,173,172,173,174,174,174,88,101,108,116,119,175,182,133,170,145,132,114,104,92,74,72,70,51,136,176,168,172,173,174,174,174,174,174
0,147,148,149,148,149,150,151,151,152,151,150,149,150,150,150,150,150,149,150,151,150,150,151,151,149,149,150,149,148,149,150,149,150,151,152,151,152,151,151,151,152,152,150,151,153,155,152,153,152,151,152,152,151,152,151,151,150,150,151,151,151,151,152,152,152,152,152,151,151,153,162,145,115,130,157,145,149,156,153,153,152,151,153,153,150,151,151,152,153,152,151,153,153,152,155,153,125,123,168,140,112,90,96,109,102,139,145,111,148,155,154,153,151,152,152,153,154,153,153,154,155,156,176,161,128,94,138,147,128,108,51,100,99,84,132,80,135,161,153,154,152,153,154,154,154,154,153,159,139,130,181,159,137,107,132,164,130,114,67,118,111,80,110,87,127,161,155,155,152,153,155,155,154,154,157,181,138,99,146,172,142,115,122,180,142,117,72,131,113,72,87,91,104,168,154,157,152,153,155,155,157,153,169,176,147,120,122,182,148,114,109,180,145,114,70,133,109,62,74,103,61,156,157,157,153,154,155,155,152,168,164,163,157,133,100,168,154,111,92,177,142,104,52,104,99,55,64,113,49,109,167,156,154,155,156,155,156,171,138,158,166,139,89,145,160,110,72,151,133,91,45,79,86,49,65,117,58,84,168,156,155,156,158,154,166,163,126,140,163,137,87,119,153,104,58,115,121,86,49,64,75,41,82,126,69,88,169,159,155,156,157,156,166,158,133,126,146,122,79,91,136,97,50,85,116,83,47,66,77,52,121,137,78,91,170,160,153,155,154,160,167,148,123,99,132,115,76,71,128,95,41,63,118,79,42,88,80,77,147,133,78,99,169,158,154,155,155,156,178,162,132,89,105,117,67,61,123,100,40,59,125,80,100,142,110,85,137,138,76,110,170,159,155,156,155,158,177,165,136,102,69,99,86,56,126,112,51,67,124,127,142,136,122,94,93,125,70,113,169,158,156,156,154,161,181,169,147,120,86,76,97,74,124,122,107,141,149,145,135,124,107,97,78,81,58,110,170,158,156,156,155,161,181,174,153,129,116,106,102,122,133,143,159,159,156,147,133,118,99,85,79,63,48,108,171,159,157,157,156,161,176,175,161,143,131,122,113,116,137,150,157,156,158,148,128,115,97,78,68,63,45,129,169,161,155,156,156,158,171,173,167,154,145,128,121,118,130,146,155,155,151,143,124,111,93,75,67,50,93,165,164,163,158,160,160,154,169,172,173,163,149,132,122,121,131,150,158,155,144,137,122,107,88,72,51,81,162,162,163,162,125,128,134,126,157,174,176,165,150,136,124,121,132,154,156,150,139,132,119,99,81,61,61,154,169,167,169,169,65,67,72,59,114,176,167,159,151,140,128,116,132,150,146,136,126,118,107,89,73,57,82,127,127,130,129,126,72,72,73,61,86,172,155,151,151,144,132,115,127,146,139,125,109,97,88,80,64,65,66,65,63,59,79,111,70,72,73,67,79,166,146,149,153,144,130,116,123,144,135,116,89,76,71,64,67,74,67,66,93,134,169,167,69,69,71,69,75,163,146,149,154,140,131,121,119,137,129,103,71,62,57,66,73,74,101,140,174,175,163,147,70,69,70,69,72,167,160,150,152,138,127,124,113,124,120,89,62,57,59,64,85,150,182,190,178,171,165,146,69,71,69,69,68,164,167,157,150,135,128,129,109,115,115,82,58,55,57,108,173,188,186,180,171,177,180,166,71,70,70,70,68,154,165,163,150,135,129,129,106,108,111,78,54,44,112,179,177,180,183,170,166,173,183,183
15,86,87,87,88,90,92,93,95,98,101,109,119,129,137,144,149,151,153,154,158,162,165,168,170,173,174,176,177,88,88,87,89,90,93,93,95,97,101,109,120,130,138,143,148,151,153,156,159,162,166,169,171,173,175,177,179,90,87,88,88,89,93,93,96,98,102,112,121,129,138,143,149,152,155,158,160,163,166,170,172,173,176,178,180,90,88,87,88,89,92,93,95,99,102,112,121,129,137,144,150,153,156,158,161,165,167,171,173,175,178,181,183,90,88,87,88,88,91,128,112,100,101,112,123,132,138,145,151,154,156,158,160,165,167,171,173,175,179,181,183,89,87,87,88,89,105,182,166,140,122,116,122,130,138,146,151,154,155,157,161,165,169,172,175,177,179,180,182,89,88,87,88,88,98,161,167,154,157,147,143,134,132,137,145,150,154,157,162,167,169,172,175,178,179,181,184,88,89,88,89,89,89,106,132,123,137,146,152,152,150,139,137,135,139,142,146,153,162,169,175,178,181,182,184,88,88,88,88,89,91,93,99,101,114,123,126,142,152,149,144,141,146,150,144,129,123,117,148,179,181,184,186,88,87,88,88,89,91,93,96,97,105,111,111,119,136,136,133,128,142,162,164,147,130,111,94,148,183,184,186,88,88,87,88,89,90,93,96,96,105,116,124,131,132,131,130,118,142,160,163,155,144,132,108,100,164,183,186,89,88,87,88,89,91,92,96,97,104,115,125,134,141,145,145,142,169,164,162,164,156,150,131,109,104,169,187,89,88,88,88,89,91,93,95,98,105,115,127,136,141,149,154,171,185,152,147,173,153,162,153,126,96,105,177,88,88,88,88,89,92,92,95,98,102,139,145,145,143,138,152,178,148,139,117,177,143,170,168,134,105,86,116,87,88,87,88,89,90,91,94,96,103,165,160,163,168,156,130,132,119,95,91,166,132,170,169,137,112,90,81,87,87,87,87,88,90,91,94,97,104,139,142,166,184,166,133,133,128,109,104,141,143,161,163,136,116,93,85,88,87,86,86,86,89,91,93,96,104,117,131,152,172,149,135,149,143,137,139,137,132,123,135,127,110,92,86,85,85,85,85,85,86,87,90,94,103,116,125,136,140,124,134,147,145,147,155,151,130,97,100,107,100,94,89,85,81,83,84,85,86,86,89,93,103,115,124,130,164,139,117,125,140,151,156,151,123,94,91,95,93,95,96,84,82,82,82,84,85,88,89,93,102,115,125,130,180,171,117,68,82,127,142,143,117,94,94,94,93,97,97,84,82,81,81,83,84,87,88,93,104,115,125,131,172,165,111,67,58,74,121,123,103,93,96,96,96,98,98,84,82,81,81,83,84,86,87,93,103,115,125,131,168,164,103,86,85,68,93,118,101,97,99,103,101,99,95,81,80,79,79,82,84,86,85,90,100,113,123,131,161,162,94,119,111,97,97,120,125,115,112,106,102,97,94,80,79,77,77,79,81,83,84,89,99,111,121,130,159,167,83,125,150,93,131,124,122,108,101,95,95,94,94,79,77,76,75,78,78,80,81,86,97,109,119,127,164,155,81,118,171,112,109,152,104,99,91,83,83,85,85,127,124,121,118,115,114,113,113,115,119,126,130,133,149,116,89,139,156,108,122,162,145,153,125,77,69,70,70,108,107,106,105,103,105,107,109,110,108,107,104,104,109,91,96,114,115,105,114,121,121,120,117,90,75,74,81,103,101,101,100,100,100,101,100,100,101,100,96,95,98,100,102,101,100,102,103,102,101,100,101,101,97,101,98
22,191,192,192,192,192,193,193,192,192,193,193,193,192,191,190,188,189,189,187,186,185,184,183,181,179,178,176,174,195,195,195,195,195,196,197,195,195,196,200,197,194,194,195,195,191,191,189,189,188,187,185,183,182,180,179,177,197,198,198,198,199,199,198,198,198,200,172,193,199,197,187,178,196,193,192,192,190,189,188,186,187,185,181,180,199,200,201,201,201,201,202,201,200,199,150,162,206,199,197,137,186,199,195,195,194,192,189,191,164,172,186,182,202,202,203,204,203,204,204,204,202,197,169,136,206,200,204,137,167,205,196,196,196,194,192,199,143,137,193,182,204,204,206,207,205,205,207,205,204,203,185,123,196,204,205,137,149,209,198,198,197,194,198,194,128,146,196,186,206,207,209,209,208,208,209,208,209,204,187,119,180,211,207,142,140,209,200,201,200,196,202,180,118,165,196,188,209,210,209,210,210,210,210,210,211,208,196,140,156,217,211,153,132,209,202,204,201,200,207,162,117,188,193,190,212,211,211,212,212,213,212,211,211,211,206,161,135,217,212,145,122,207,205,205,202,206,201,147,132,203,193,192,213,213,213,214,214,214,214,214,214,214,210,171,114,208,215,141,121,206,208,206,203,205,183,121,162,205,195,195,214,215,215,215,215,215,214,215,216,215,210,187,118,177,221,153,124,203,212,207,205,197,159,110,196,201,196,196,216,216,216,216,216,216,215,216,216,218,205,192,156,133,215,159,121,202,215,209,211,201,138,139,212,199,200,198,217,217,217,217,217,217,217,217,217,218,212,197,179,146,187,161,135,179,217,213,207,186,121,181,211,202,202,201,219,219,219,219,219,219,219,219,219,220,220,201,199,209,204,187,193,139,142,201,200,155,123,209,206,204,203,201,221,221,221,221,221,220,220,220,221,221,223,211,202,188,179,181,190,144,109,118,150,117,157,219,205,205,204,202,221,221,221,222,221,221,222,222,223,221,222,218,211,166,98,129,183,160,135,125,126,93,189,216,209,208,205,203,222,222,223,223,222,222,223,223,223,223,222,219,202,148,108,87,142,166,149,144,141,88,195,218,211,210,208,206,223,224,224,224,224,224,224,224,225,224,223,216,200,173,137,97,94,102,128,145,123,83,160,225,210,212,208,207,225,225,226,226,226,227,226,226,227,226,225,212,203,180,131,100,106,107,131,174,148,104,110,220,212,211,209,209,227,227,227,227,227,228,227,228,228,229,226,210,203,170,132,110,111,137,194,202,179,138,83,171,222,211,211,209,226,226,227,227,227,227,228,228,228,228,226,213,205,183,147,115,116,167,214,220,199,169,92,138,226,210,211,209,226,226,227,227,227,227,228,228,228,227,227,211,204,189,154,115,125,185,218,214,195,157,87,151,224,209,210,209,227,227,228,228,228,228,229,229,229,229,228,207,198,201,158,121,134,201,220,200,171,137,78,182,219,209,210,207,228,228,229,229,229,229,230,230,230,230,229,204,194,197,161,124,133,209,209,184,151,125,92,207,216,211,212,216,228,228,228,228,228,228,229,229,229,229,230,202,189,188,161,121,124,196,194,179,143,108,107,217,215,221,212,162,233,235,235,236,236,236,238,237,237,235,238,216,188,188,160,128,125,190,191,169,129,85,139,235,211,170,117,75,166,170,174,179,182,186,190,191,194,200,205,202,188,182,159,142,122,180,185,151,112,80,165,172,111,77,75,73,125,125,125,127,126,124,125,124,123,126,124,136,193,183,158,144,117,149,155,119,91,78,92,80,62,72,81,67
4,57,72,86,92,98,102,107,109,112,114,118,121,122,125,127,128,132,131,133,135,135,136,137,136,137,137,137,138,58,75,88,94,100,104,108,110,113,117,121,121,125,127,127,131,129,134,136,137,140,139,138,139,140,140,140,140,60,77,88,94,100,105,109,112,115,117,119,121,116,121,135,138,109,98,133,127,124,142,140,141,142,142,142,141,62,79,90,96,102,106,111,115,116,112,129,158,122,101,135,154,106,54,94,119,61,88,146,142,143,143,144,144,64,81,91,97,103,106,111,115,122,130,106,128,157,103,89,142,92,49,51,97,68,39,132,148,143,144,146,146,65,84,93,99,104,107,113,112,150,146,117,87,104,94,61,103,79,40,53,99,67,29,125,151,145,146,147,147,67,84,93,99,104,108,109,128,162,154,132,105,53,58,54,123,94,26,97,104,50,30,142,148,146,148,148,148,70,86,94,100,105,110,108,146,131,122,127,81,46,37,51,132,92,77,124,81,23,51,154,149,148,150,151,150,72,87,96,101,106,111,111,158,113,107,115,51,34,44,25,71,102,139,118,97,50,73,162,148,150,150,151,151,77,88,95,102,107,110,119,165,126,126,102,56,20,72,87,104,121,119,99,108,86,76,152,151,151,152,152,152,77,89,94,102,110,109,132,157,110,95,89,61,6,101,122,105,106,83,100,126,106,78,93,159,150,156,155,154,80,90,96,105,110,106,144,147,103,78,64,32,8,28,71,72,66,33,99,133,125,110,63,112,162,153,157,157,80,91,97,105,111,111,167,151,114,91,70,47,25,17,24,30,57,100,103,125,135,115,84,54,142,159,157,157,83,92,97,105,109,118,179,144,118,103,70,49,36,48,79,107,141,154,138,127,114,107,96,56,101,167,156,158,86,92,98,108,107,129,185,150,135,106,69,63,48,85,134,152,160,153,132,118,94,82,86,53,109,166,158,159,87,92,98,108,104,143,185,154,131,94,75,72,63,125,154,160,162,158,130,105,82,64,61,65,151,159,160,160,87,92,99,110,105,148,184,150,120,93,90,76,91,145,151,158,161,145,116,94,74,59,46,120,167,159,161,160,88,92,99,109,105,149,180,144,123,113,107,92,118,145,149,154,148,126,104,82,68,46,77,165,160,161,163,163,89,93,101,108,107,147,173,148,142,132,115,109,136,143,149,142,127,114,89,74,59,47,145,166,162,163,164,165,89,93,101,109,109,136,173,158,151,132,113,107,130,136,134,122,108,97,77,66,44,105,171,161,161,164,165,165,90,94,103,110,111,126,169,152,144,129,107,92,109,120,120,110,94,82,70,50,69,163,162,163,163,165,165,165,90,96,104,110,115,122,165,144,130,119,100,92,103,115,112,97,79,71,57,47,140,166,162,165,166,166,166,167,89,96,104,110,115,118,157,132,118,109,94,102,98,107,110,91,74,65,38,111,169,161,165,165,166,167,167,167,90,96,105,111,114,128,158,133,121,115,116,120,97,90,98,79,66,46,71,164,162,164,166,167,167,167,167,167,91,97,106,110,119,168,139,128,131,121,119,109,91,80,86,71,60,40,131,167,162,165,166,167,168,168,167,168,91,98,106,106,156,167,162,88,102,129,111,97,86,72,73,65,55,38,149,164,163,165,166,167,167,169,168,170,91,101,102,127,175,158,165,149,50,91,99,87,79,60,64,59,47,40,154,163,163,166,167,168,167,169,170,170,92,100,104,165,161,160,158,170,124,34,69,81,68,47,57,53,45,39,152,166,164,166,167,169,169,170,171,171
5,228,229,233,237,236,236,237,238,239,238,241,239,241,241,241,239,246,231,240,238,237,236,234,234,232,230,229,228,230,233,236,238,238,238,241,236,255,246,202,247,242,243,244,239,255,191,231,244,241,238,236,236,235,233,231,230,232,235,238,241,241,243,244,239,255,255,179,242,247,244,242,251,255,174,225,249,242,242,240,238,237,236,235,235,235,237,239,243,242,242,247,244,249,255,190,231,253,248,240,255,255,169,244,247,244,244,243,241,239,238,238,235,238,241,242,243,248,255,210,244,251,255,216,221,255,247,250,255,220,182,255,246,248,247,245,245,244,241,239,238,240,243,244,247,242,255,205,218,255,255,247,213,255,243,255,255,193,213,255,249,251,248,246,247,246,244,242,241,243,244,246,250,241,255,243,194,255,255,239,205,255,254,255,249,172,240,255,253,253,250,249,248,246,244,244,244,245,247,249,252,245,255,255,198,255,255,226,191,255,255,255,186,188,255,253,254,254,253,252,251,249,246,245,245,246,248,251,253,248,255,255,222,240,255,250,196,254,254,243,161,231,255,255,255,255,253,253,252,251,250,248,248,248,249,252,255,254,255,255,255,206,255,249,207,218,230,229,176,254,255,255,255,255,255,254,253,253,253,251,250,249,251,253,255,255,255,255,255,225,255,242,222,171,202,204,192,255,255,255,255,255,255,255,255,255,253,251,250,251,253,255,255,255,255,255,255,255,237,209,223,165,173,176,216,255,255,255,255,255,255,255,254,254,254,255,254,252,255,255,255,255,255,255,255,255,255,200,193,174,166,155,230,255,255,255,255,255,255,255,255,255,255,242,244,255,255,255,255,255,255,255,255,255,255,255,181,164,165,157,186,237,253,247,224,237,255,238,241,255,241,185,220,255,255,255,255,255,255,255,255,255,255,255,199,166,163,159,169,193,220,193,156,184,199,198,216,226,224,185,249,255,255,255,255,255,255,255,255,255,255,255,199,168,159,157,170,165,156,168,231,255,255,255,255,255,235,200,255,255,255,255,255,255,255,255,255,255,255,255,206,172,156,161,159,157,222,255,255,255,255,255,255,246,196,249,255,255,255,255,255,255,255,255,255,255,255,255,213,176,160,155,132,244,255,255,255,255,255,244,255,197,221,255,255,255,255,255,255,255,255,255,255,255,255,255,210,175,158,149,147,208,243,255,255,252,244,250,240,169,243,255,255,255,255,255,255,255,255,255,255,255,255,255,210,170,148,146,161,155,174,200,215,224,244,245,193,202,255,255,255,255,255,255,255,255,255,255,255,255,255,253,204,165,143,146,151,164,189,191,202,230,222,194,223,255,255,225,171,255,255,255,255,255,255,255,255,255,255,244,195,170,147,152,159,185,207,200,197,205,182,235,255,255,255,163,162,255,255,255,255,255,255,255,255,255,255,229,202,181,150,160,183,201,206,204,178,171,248,255,255,255,232,156,160,255,255,255,255,255,255,255,255,255,255,225,215,188,152,162,192,203,203,191,181,255,255,255,255,240,154,144,129,255,255,255,255,255,255,255,255,255,255,235,218,188,153,160,191,192,192,170,255,255,255,255,255,177,142,138,119,255,255,255,255,255,255,255,255,255,255,246,210,176,145,151,176,179,160,226,255,255,255,235,171,149,136,120,108,255,255,255,255,255,255,255,255,255,255,225,168,140,118,125,138,155,218,255,255,255,220,159,151,141,133,121,104,249,254,255,255,236,255,255,255,255,245,173,120,108,97,106,88,179,255,255,255,212,145,147,140,129,126,129,114
3,177,177,179,180,181,181,182,182,181,181,181,181,180,180,178,177,177,176,175,173,172,172,171,169,167,167,165,165,182,182,183,183,185,185,185,184,183,184,184,183,184,182,181,180,181,180,177,176,175,173,171,170,170,168,166,165,186,187,186,187,189,189,188,188,187,188,187,186,186,185,183,189,167,168,183,178,177,175,173,173,171,169,169,167,189,191,191,192,192,192,192,192,191,191,191,191,189,189,186,196,157,134,190,181,181,179,178,176,174,173,171,169,195,195,195,195,195,196,196,195,196,195,195,194,193,192,191,195,163,120,187,186,184,183,182,179,177,176,174,172,198,199,198,199,199,200,199,199,200,199,198,197,196,195,194,197,163,109,185,189,187,185,184,183,180,177,176,174,201,202,202,202,203,203,202,202,203,202,202,201,199,198,198,198,164,109,184,194,190,189,187,186,184,181,179,177,205,205,205,205,206,206,206,205,206,206,206,204,203,202,200,205,175,111,180,199,193,192,190,188,186,184,182,181,208,208,209,209,210,209,208,208,209,209,209,207,206,206,203,209,167,104,183,200,196,195,193,191,189,187,185,184,211,211,211,213,212,213,212,211,211,210,211,210,209,209,206,201,163,116,184,204,198,197,196,194,192,190,187,186,215,215,215,215,215,215,215,215,214,213,213,213,211,210,208,200,167,118,173,209,199,199,198,197,195,192,190,188,216,216,217,217,217,217,216,217,217,217,217,215,214,214,213,215,169,102,163,213,201,202,200,199,196,195,193,190,218,219,219,219,219,219,218,218,219,218,218,220,220,213,197,185,192,142,156,224,205,203,203,200,199,196,195,193,220,221,221,221,221,221,221,221,220,220,221,207,196,211,179,113,173,181,118,174,205,209,203,203,201,198,197,195,221,222,222,222,223,223,223,223,224,221,215,188,132,174,189,129,132,171,114,105,129,201,209,204,203,201,198,196,223,223,221,223,224,224,225,225,225,218,208,189,160,142,194,154,109,158,139,122,104,166,217,205,205,203,201,198,223,224,224,225,226,226,226,227,221,211,166,162,180,141,168,162,104,109,141,128,92,152,219,207,206,204,203,200,226,227,226,226,226,226,227,228,216,205,173,122,158,126,133,168,106,101,138,161,106,134,221,208,208,206,204,201,227,227,228,228,227,228,228,229,219,202,169,117,131,95,125,142,89,111,132,184,134,114,216,210,209,208,205,203,227,228,229,229,229,229,229,230,223,198,185,155,116,102,137,123,93,152,185,183,138,113,218,213,211,208,207,205,229,229,229,230,230,230,231,232,226,200,198,170,130,127,152,139,159,214,190,161,102,165,225,214,213,211,208,207,230,230,231,231,231,232,233,234,230,197,197,178,146,130,157,207,215,203,165,128,109,218,219,216,214,211,209,207,229,231,232,233,233,233,234,234,235,200,181,172,149,135,148,203,194,178,145,100,148,231,216,217,215,213,210,208,229,230,230,231,233,233,233,232,237,214,173,173,157,147,145,189,184,159,120,95,202,225,219,217,216,213,210,207,228,230,230,231,233,233,233,233,233,231,182,171,170,153,133,160,156,130,88,167,229,219,218,215,213,211,214,215,229,231,232,232,233,234,234,233,234,232,202,183,170,142,122,130,125,85,145,233,219,219,217,218,222,217,194,153,231,232,232,233,233,234,234,234,237,219,204,197,171,146,133,128,115,102,221,226,226,227,223,209,167,128,96,79,230,231,232,233,233,234,234,234,237,208,194,201,180,167,148,132,95,146,236,220,199,168,140,112,87,83,78,78
21,155,158,159,160,160,160,161,163,162,162,164,165,160,154,164,162,162,163,161,160,159,159,158,155,159,69,0,0,159,161,162,162,164,164,164,165,166,166,164,168,181,110,152,169,164,165,164,164,166,161,160,163,136,53,5,0,162,164,164,167,167,167,167,167,168,168,167,170,187,99,134,176,167,168,169,157,139,168,163,167,133,25,7,10,165,166,167,168,169,171,171,170,171,171,171,174,189,100,117,182,171,170,177,161,85,166,165,169,142,44,18,30,167,168,170,171,172,172,173,173,173,173,173,176,196,109,107,183,173,171,185,156,79,169,169,167,171,68,16,29,169,170,172,173,174,174,175,175,175,175,175,176,204,128,106,183,177,174,189,147,84,170,173,169,175,108,19,19,171,173,173,176,176,177,178,177,177,178,179,177,208,142,104,181,181,178,195,144,92,172,174,171,177,154,29,6,173,175,176,178,179,179,179,180,180,180,180,177,208,154,106,171,186,180,202,150,98,178,177,176,173,179,59,7,175,178,178,179,180,181,181,181,181,180,183,179,213,173,116,155,189,183,203,149,98,180,179,178,175,182,124,118,177,178,179,181,181,181,182,183,183,183,185,181,213,189,119,149,191,190,210,145,96,184,180,180,177,180,125,169,178,180,181,183,183,184,185,186,185,185,187,173,183,198,113,147,193,198,203,133,104,191,182,181,180,178,147,177,178,180,181,184,185,186,186,186,187,185,207,181,144,160,131,126,193,202,185,120,118,195,183,184,183,182,172,127,179,181,184,184,186,187,186,187,188,187,216,210,175,121,161,77,155,196,173,108,136,198,185,185,185,185,178,118,180,182,183,185,187,186,187,188,188,191,189,217,202,158,167,89,77,143,143,94,158,196,187,186,185,186,183,160,182,183,184,186,187,188,188,189,188,193,164,155,214,165,157,141,96,81,101,72,166,195,187,187,186,186,187,181,182,184,186,187,187,188,189,191,191,187,197,159,184,171,124,168,149,89,69,63,160,199,188,189,188,187,186,185,182,183,184,185,187,187,190,189,193,195,217,176,107,157,109,139,160,108,62,55,160,200,190,189,188,188,187,185,182,184,184,184,187,187,188,188,207,212,199,134,71,92,148,109,148,138,84,49,164,197,189,189,189,188,186,185,182,184,185,186,186,188,188,194,214,178,155,144,98,45,111,71,126,176,109,58,177,196,189,189,188,187,186,185,183,185,186,187,187,189,190,193,210,175,143,156,108,62,37,101,153,194,145,73,141,200,190,190,188,187,187,186,182,184,185,186,186,188,189,190,205,186,161,150,140,83,67,194,179,185,163,104,90,198,192,191,189,188,187,187,189,192,193,194,193,194,197,198,206,206,169,109,142,102,127,219,194,175,150,111,106,199,192,191,189,188,188,188,127,131,136,139,143,148,153,156,207,209,166,104,138,122,182,222,184,166,132,81,121,206,195,198,197,192,187,185,72,73,75,75,74,75,75,74,197,214,159,128,149,136,215,211,180,156,125,77,89,112,107,107,114,128,156,179,84,85,84,83,83,83,85,77,179,211,164,155,165,146,224,210,177,148,109,80,72,75,95,126,154,179,196,205,82,83,81,82,84,83,86,73,142,213,186,182,177,133,204,200,158,131,90,76,155,173,183,199,201,194,195,209,81,82,80,82,84,83,84,81,96,198,199,186,172,130,168,184,132,99,72,86,203,199,170,161,179,189,186,194,81,81,81,82,84,83,83,86,77,178,194,167,146,118,126,155,110,80,67,106,151,164,188,145,142,165,181,192
12,51,57,67,83,88,95,100,106,108,110,114,116,119,121,124,126,127,129,130,132,133,134,134,135,135,135,135,136,52,57,68,84,90,97,102,107,108,111,113,117,120,122,124,126,130,129,131,133,134,135,135,136,137,137,137,137,53,57,69,84,92,99,104,107,110,114,114,116,122,127,125,130,122,131,134,135,136,135,137,139,139,139,138,138,54,59,73,86,93,99,104,107,111,115,119,131,96,97,135,142,88,78,136,132,135,141,138,141,140,141,140,140,54,61,74,89,94,101,105,110,116,109,149,148,104,70,115,145,102,57,84,98,77,125,146,140,142,142,142,141,56,62,74,89,95,101,106,111,116,111,169,156,121,87,94,146,114,86,52,94,66,70,143,143,143,143,144,144,58,64,79,91,96,102,107,112,115,119,171,175,137,93,90,150,118,92,48,83,87,49,115,150,142,144,146,145,58,65,81,91,98,104,110,114,110,137,146,165,151,97,80,155,118,87,44,79,85,50,124,150,146,146,147,147,59,66,81,91,100,106,108,107,117,145,141,130,135,88,61,132,116,76,41,82,78,55,138,150,147,147,148,148,59,67,82,91,100,104,116,160,170,109,69,76,113,71,46,95,84,59,46,80,68,65,149,148,149,148,149,149,60,69,86,92,100,99,153,193,145,91,68,44,96,71,40,77,71,54,44,69,59,73,153,148,151,150,150,150,61,71,85,93,100,108,165,137,124,97,81,44,79,106,49,73,101,67,53,95,73,81,158,149,151,151,152,152,61,72,87,95,97,121,161,106,111,110,85,57,32,69,31,46,96,65,54,113,94,50,104,159,151,153,152,153,62,73,88,95,96,131,154,111,88,109,83,73,20,5,30,57,64,58,85,92,68,47,57,150,154,153,153,153,62,74,89,95,95,134,171,127,95,83,74,60,15,26,72,112,118,108,108,90,73,67,69,152,155,154,154,154,63,77,91,98,95,141,170,127,108,75,56,49,34,59,111,137,138,127,111,86,78,62,96,161,153,154,154,154,64,79,92,98,96,143,166,136,116,84,67,87,81,114,145,148,143,122,98,83,66,53,130,159,155,155,156,156,65,79,91,99,99,137,157,132,113,87,87,97,91,146,147,147,143,114,90,80,60,74,157,154,156,156,157,157,66,81,91,100,102,125,155,128,109,92,90,81,96,140,137,144,132,103,83,74,55,115,162,154,157,157,157,157,67,82,91,99,105,118,153,124,111,101,94,92,114,133,137,136,116,93,77,65,63,148,158,157,158,158,159,160,68,84,94,100,108,111,144,129,121,120,105,98,121,129,132,117,97,82,72,57,93,162,155,157,159,159,160,160,70,84,93,101,109,108,135,139,123,117,103,91,101,117,117,98,79,71,67,61,139,160,156,157,160,161,161,161,72,86,93,101,109,112,127,148,117,109,96,84,80,93,92,82,68,70,58,102,162,156,158,160,160,161,161,161,72,87,93,102,109,114,120,155,130,107,87,78,82,84,83,77,67,64,66,149,156,157,159,160,161,161,161,162,72,87,93,101,108,113,118,153,144,110,89,88,97,84,83,82,68,49,100,163,155,159,160,161,162,162,162,162,74,87,94,101,110,112,130,165,155,120,108,103,102,84,75,71,62,39,110,164,156,159,161,161,162,162,162,162,74,88,94,103,105,132,156,149,175,127,116,103,96,81,70,61,58,36,113,165,155,159,161,161,162,163,163,163,75,88,95,104,106,164,170,121,158,133,120,101,91,79,60,59,57,38,123,164,156,160,162,162,163,163,163,163
10,125,129,133,137,141,144,147,149,148,150,152,153,154,153,154,155,155,154,155,155,155,155,156,155,154,154,152,151,128,132,137,141,144,147,150,153,153,154,156,156,158,158,159,157,158,158,158,158,158,157,159,158,158,157,156,155,133,136,140,144,148,151,155,156,158,158,159,160,162,161,161,166,163,162,162,162,161,161,162,163,163,161,160,160,135,140,144,148,152,156,158,160,162,163,165,165,164,167,164,120,167,167,166,166,164,166,166,166,166,166,165,163,138,142,147,151,156,160,163,165,166,167,168,168,167,172,184,95,134,179,167,168,167,169,170,170,170,168,168,166,141,146,151,155,158,162,166,167,168,170,172,172,173,170,189,148,93,172,173,172,172,173,173,173,173,171,170,168,144,149,153,157,162,166,168,170,172,172,173,174,178,175,185,186,109,142,184,174,174,175,177,176,175,175,174,172,147,151,157,161,165,168,170,172,174,175,175,175,170,167,189,212,157,105,183,178,177,178,178,178,177,176,176,175,149,153,158,165,168,171,172,174,175,177,176,186,167,86,148,221,195,98,151,189,181,184,182,183,182,179,178,177,150,155,162,167,169,173,175,177,179,180,180,186,191,115,69,197,211,122,110,194,182,185,184,185,184,184,183,181,154,159,164,166,171,175,177,180,182,183,184,182,211,195,126,128,193,153,85,191,185,187,188,187,187,186,185,184,155,161,166,169,173,176,178,182,184,186,185,201,178,229,187,88,109,179,70,176,191,190,191,189,189,189,186,186,158,161,167,171,174,178,182,183,184,186,199,201,124,135,191,108,52,105,65,152,199,189,192,191,191,192,191,190,158,162,167,172,175,180,184,186,182,205,215,180,120,23,138,153,69,33,38,93,204,192,193,193,192,192,194,193,158,163,168,173,177,182,185,186,183,207,224,131,60,0,65,149,107,42,28,47,180,200,194,195,194,193,193,193,160,165,170,175,179,184,184,190,203,176,216,165,78,0,35,134,138,96,43,35,152,206,194,197,197,195,194,193,160,165,171,176,181,185,184,193,223,200,178,217,175,41,52,168,157,131,56,25,138,211,196,199,201,198,196,195,162,165,170,177,182,185,187,189,193,224,186,159,198,134,120,193,164,136,66,18,132,215,198,201,201,199,199,197,160,165,170,175,180,183,184,192,162,174,177,100,165,171,90,199,165,124,79,22,124,215,199,202,201,199,199,199,161,166,171,175,179,184,184,190,205,166,143,115,89,148,178,213,176,123,68,27,123,214,198,201,200,198,198,198,161,166,171,175,179,183,184,188,217,204,147,128,120,217,233,209,168,110,62,31,134,214,198,200,200,198,198,200,161,167,172,175,179,183,186,186,204,214,173,166,162,229,215,193,154,91,62,37,123,215,199,201,200,200,199,200,163,168,172,177,179,183,185,187,195,213,186,201,171,222,204,168,138,93,82,51,109,216,199,201,201,201,200,199,161,168,175,179,185,189,191,195,198,205,202,213,173,191,198,161,143,109,114,60,124,219,202,204,204,203,201,200,78,85,91,94,101,110,115,116,118,195,216,209,186,157,182,162,160,127,111,56,127,196,187,194,196,199,200,201,60,60,58,55,55,57,59,62,52,132,213,190,174,154,156,169,182,131,91,57,63,75,78,81,86,89,89,94,68,69,68,73,76,75,73,72,71,77,185,168,160,152,150,174,181,127,81,55,74,73,70,72,70,68,67,66,66,66,66,70,70,73,72,69,73,60,152,175,159,157,166,161,167,128,75,55,87,84,80,86,85,86,86,88
6,188,190,192,193,194,196,197,197,197,197,197,196,196,195,193,193,192,191,190,189,187,186,185,184,184,183,181,180,190,192,194,194,195,197,197,198,198,197,197,198,197,196,195,194,193,192,191,190,189,187,187,186,186,184,182,181,192,193,195,196,197,198,199,199,199,199,199,199,198,197,196,195,195,194,193,192,191,190,188,188,187,185,184,183,193,195,196,197,199,199,200,200,200,200,200,200,199,198,198,197,196,196,195,194,193,192,190,189,188,186,185,184,194,196,198,199,200,201,201,201,201,202,201,201,200,199,198,198,197,196,196,196,195,194,192,190,189,188,186,185,195,197,199,200,201,202,202,203,202,202,202,202,201,200,199,199,199,197,196,195,194,193,190,187,185,182,183,185,197,198,201,201,203,204,204,204,203,203,203,202,200,199,197,195,190,184,178,176,177,174,168,164,160,152,168,179,199,200,202,203,204,205,205,205,205,202,197,187,181,181,179,172,161,149,139,145,154,157,149,145,140,132,156,171,200,202,203,205,205,206,207,207,205,195,182,162,153,151,149,152,146,135,126,127,137,141,132,127,122,116,131,146,201,202,205,206,207,207,207,205,200,190,177,161,149,136,116,118,120,115,104,101,109,111,111,114,120,125,139,157,202,203,206,207,208,208,204,200,190,179,172,163,157,142,102,78,75,82,93,115,137,150,160,169,178,181,185,188,203,205,207,208,207,202,196,191,177,167,167,167,163,134,91,69,67,109,157,182,193,197,198,199,199,198,196,194,204,206,208,206,200,194,188,180,171,164,163,167,161,127,86,69,70,111,181,203,204,202,201,201,200,199,197,196,205,206,204,200,194,189,182,175,170,164,161,165,159,141,108,77,67,76,135,196,205,203,202,202,201,199,198,196,202,202,200,196,191,185,177,171,167,161,158,160,160,153,124,85,68,67,90,171,205,205,203,202,201,200,199,198,172,190,198,194,186,179,171,165,160,156,155,157,160,154,123,87,69,66,75,154,205,206,204,204,202,201,201,200,101,138,180,191,183,173,165,159,156,154,153,155,159,156,131,94,68,65,85,171,207,207,206,205,204,203,201,200,73,80,113,155,172,169,164,160,157,155,156,157,160,158,142,105,71,64,86,176,209,209,207,206,205,204,202,201,67,63,59,82,130,161,161,157,156,155,157,157,156,153,136,102,75,68,81,169,210,210,208,207,206,205,203,202,60,51,45,45,69,115,144,154,156,155,150,144,139,132,114,94,79,73,85,170,212,211,209,208,207,206,204,203,48,44,41,42,43,58,98,135,151,149,140,129,121,113,100,88,83,77,76,147,210,212,210,209,207,206,205,203,42,45,44,41,37,38,50,88,130,142,132,119,110,112,102,84,82,80,82,150,210,213,212,210,209,207,206,204,43,46,45,40,35,36,34,43,82,115,113,103,101,114,102,89,95,106,139,193,214,214,213,211,210,209,207,206,44,45,41,36,32,32,29,28,39,69,88,106,139,174,169,158,168,184,203,214,216,215,214,212,211,209,208,207,42,40,33,30,29,27,25,23,24,40,106,175,205,219,219,215,216,217,217,217,216,215,214,213,211,209,208,206,40,32,28,26,26,24,21,20,23,72,178,217,221,222,221,220,219,218,217,216,215,215,214,212,211,209,207,206,35,27,25,24,23,20,18,18,26,110,211,222,222,221,221,220,219,218,216,215,215,214,213,212,211,209,207,204,31,27,25,21,22,22,16,18,31,132,218,223,222,221,221,220,220,218,217,216,215,214,213,213,212,210,206,203
0,195,195,195,194,196,196,196,197,196,197,197,198,197,197,196,195,196,197,197,198,197,197,197,198,196,195,195,195,195,195,195,195,197,199,199,199,199,198,196,197,197,197,198,197,197,196,198,199,197,198,198,198,198,196,196,196,197,196,197,197,199,200,200,198,199,198,198,199,199,200,200,199,199,199,199,199,200,199,199,198,199,196,195,195,199,198,199,199,200,201,199,198,193,176,183,196,192,194,198,196,195,198,202,201,202,200,199,199,200,198,196,196,199,200,200,200,201,201,199,203,197,143,105,147,165,150,158,180,173,151,172,188,185,193,198,200,199,200,199,198,199,201,201,202,201,201,201,198,194,139,70,98,163,126,89,143,163,107,86,136,129,118,145,189,200,199,200,199,200,201,201,201,200,198,194,171,179,151,97,80,145,112,70,116,140,91,61,118,117,77,73,130,191,201,200,200,202,202,202,202,201,195,186,158,147,165,127,68,111,109,59,106,129,81,60,125,117,73,70,111,139,201,202,201,202,203,203,203,202,196,185,160,127,130,120,61,97,104,47,96,140,90,58,133,133,82,81,129,104,153,204,202,202,203,203,204,204,196,184,161,126,101,89,63,96,90,38,99,137,83,70,147,147,122,109,115,101,92,194,203,203,204,204,205,203,196,187,176,150,108,83,73,84,73,50,89,117,98,139,161,150,134,111,90,77,79,189,203,204,205,206,206,204,198,193,184,170,141,96,74,69,78,90,97,127,160,174,167,154,128,107,90,70,91,198,205,205,206,207,207,206,199,198,189,180,166,130,84,77,85,96,124,166,180,181,173,155,124,99,85,66,114,208,205,206,206,207,207,205,196,203,197,190,183,158,117,106,100,107,149,176,185,190,178,151,119,95,81,65,152,210,206,206,206,207,207,206,188,201,204,198,192,174,148,136,124,117,152,170,186,194,178,145,114,92,75,86,190,208,205,207,207,207,207,208,189,191,207,208,201,184,167,156,144,133,145,171,190,188,171,135,104,93,72,134,207,207,207,206,208,208,208,209,196,178,203,212,206,193,179,167,157,146,142,160,183,181,161,126,98,89,73,176,210,207,208,207,208,209,207,207,207,170,191,209,211,200,185,175,166,151,141,147,166,166,142,113,92,76,93,200,209,208,207,208,209,210,209,208,211,181,174,205,211,201,181,175,164,151,142,141,152,151,122,99,84,65,141,211,207,208,209,209,209,209,211,211,209,202,167,202,209,192,173,175,161,152,143,129,134,137,111,92,72,96,195,210,208,209,210,210,210,210,211,211,209,208,179,204,208,194,181,186,171,156,140,119,119,122,106,82,75,169,211,211,211,211,211,210,210,210,211,211,210,209,184,205,212,203,188,194,176,154,139,118,110,113,103,72,126,207,210,212,213,212,211,210,210,210,211,211,211,210,178,198,212,208,193,193,174,152,136,119,108,108,99,68,167,211,210,211,213,212,211,210,210,210,210,210,212,211,178,196,213,209,194,185,170,150,134,122,107,101,91,76,188,210,211,211,212,212,211,209,210,210,210,211,211,208,189,201,210,207,195,182,168,152,134,122,108,94,84,87,203,212,211,211,211,211,212,209,210,210,210,211,211,202,194,207,201,202,191,179,166,152,134,120,106,90,81,100,208,210,211,211,211,211,211,209,210,211,212,211,211,199,193,200,199,200,184,171,162,150,133,116,100,86,76,120,206,207,211,211,211,211,211,209,210,211,211,210,212,197,188,197,201,199,182,164,154,146,131,111,91,81,70,145,205,208,212,212,212,211,211
15,103,102,104,103,107,108,109,111,113,120,130,138,144,148,152,157,158,161,163,166,169,172,173,175,176,178,180,181,102,103,103,102,106,107,104,109,113,121,130,137,144,149,154,157,158,161,164,166,168,172,174,175,177,179,181,182,104,103,103,103,105,105,119,109,110,121,131,139,146,150,154,158,159,161,165,168,169,172,175,176,179,181,184,184,104,103,103,105,93,137,185,149,125,121,127,137,146,153,156,160,161,161,163,167,170,173,176,178,179,181,182,183,104,103,102,105,95,140,188,176,166,155,141,142,137,147,155,160,162,163,166,169,171,172,176,179,180,180,182,183,104,104,104,105,104,106,148,150,147,161,160,161,150,143,140,144,148,153,159,167,174,178,179,178,180,181,184,185,103,104,103,104,107,106,109,120,121,135,144,149,164,160,153,149,147,149,148,142,145,151,165,185,180,184,185,186,103,104,103,104,104,107,108,109,115,123,126,122,145,151,151,145,148,160,167,155,136,123,107,157,187,182,186,187,104,104,104,105,106,109,110,110,114,123,131,133,138,141,139,135,131,160,167,169,151,142,115,99,172,188,184,188,102,104,104,104,106,108,109,109,113,124,132,140,147,149,149,143,143,170,168,169,159,156,139,117,112,182,188,187,103,104,104,104,105,106,109,111,114,122,129,140,145,154,160,153,179,179,158,163,175,162,157,142,109,117,187,189,104,104,104,104,106,106,108,110,114,122,145,145,147,145,151,175,184,172,135,165,174,161,177,152,125,96,129,196,103,104,104,105,106,106,109,111,107,145,178,158,164,160,142,154,152,127,111,159,158,156,184,158,129,111,93,150,103,104,104,104,104,106,107,110,110,141,159,165,184,184,152,127,137,119,91,149,141,163,179,158,134,116,102,98,103,102,102,103,104,107,107,110,112,122,137,149,179,178,146,146,154,145,137,138,142,151,157,150,133,115,102,100,102,102,102,102,103,106,106,108,113,123,133,144,154,142,141,158,156,150,156,159,147,119,116,130,121,111,101,99,101,101,100,102,102,103,104,105,112,124,133,136,147,153,129,146,158,160,164,166,148,115,101,110,110,107,108,100,100,99,100,101,102,102,103,105,111,123,132,136,156,205,138,101,104,148,157,160,142,111,105,109,107,109,111,106,99,99,99,100,100,102,104,105,112,123,131,135,154,196,142,95,62,89,138,149,129,112,111,110,108,109,112,110,99,99,99,100,100,101,103,103,112,123,131,135,151,187,133,86,103,75,97,136,112,106,109,113,114,112,112,109,98,98,99,99,100,101,103,103,110,122,131,135,150,187,125,100,115,97,109,128,140,122,122,121,118,115,111,108,97,97,97,97,98,100,101,102,109,119,128,137,146,192,111,112,135,116,149,114,148,133,126,120,114,111,110,105,94,94,95,95,96,98,100,100,108,119,128,133,152,200,97,117,186,89,165,155,127,106,109,108,108,108,108,108,97,96,97,97,96,96,98,98,106,117,127,132,150,162,90,132,187,87,151,179,132,130,135,89,92,96,94,95,142,141,138,136,134,133,135,136,137,137,139,140,148,131,114,156,147,117,159,162,165,171,170,115,86,88,88,90,116,114,114,112,113,114,117,119,116,115,113,110,113,112,117,120,118,118,120,120,121,118,120,118,98,98,105,110,116,115,115,114,114,114,114,113,113,115,114,111,112,114,115,115,114,115,117,116,115,113,114,116,115,121,125,119,117,117,116,116,115,116,118,115,116,117,120,118,118,120,117,116,118,119,120,119,119,118,119,121,119,122,149,128
4,120,126,133,135,138,143,145,147,150,152,154,157,159,161,163,165,165,165,167,170,170,170,172,173,173,173,173,174,121,127,133,136,138,141,145,148,150,152,153,156,160,163,162,162,166,169,168,168,173,171,173,174,174,174,174,175,123,128,133,137,141,144,146,149,150,154,155,159,156,163,167,167,163,156,167,172,169,176,175,175,176,175,175,175,124,130,134,138,142,145,148,150,152,153,151,164,174,156,148,188,166,116,97,151,135,127,176,177,176,177,177,178,124,131,135,139,142,146,150,149,152,172,149,139,166,163,106,152,158,111,64,100,129,83,123,186,175,178,178,179,124,130,135,138,143,148,152,146,174,200,175,144,106,116,98,123,155,99,59,129,130,87,78,184,180,180,181,181,125,132,137,139,144,148,149,150,197,166,178,135,98,69,76,136,172,94,106,150,107,64,62,177,181,179,182,181,128,132,137,140,144,149,144,164,185,136,172,107,75,73,69,107,145,140,161,138,113,53,77,183,180,181,182,183,127,133,137,141,146,150,144,180,180,146,161,109,69,89,105,109,141,159,139,146,139,101,99,193,181,183,185,184,125,133,139,143,145,150,148,194,171,152,145,124,52,112,170,146,144,137,121,168,152,139,112,173,187,183,186,187,127,134,140,143,147,148,160,191,146,122,110,90,44,68,134,125,124,90,100,177,169,161,127,109,185,187,187,187,127,134,140,143,149,144,178,190,148,124,105,76,55,46,58,74,75,88,131,156,171,164,146,101,126,195,186,188,128,135,140,145,151,147,200,184,153,137,113,90,69,58,59,68,115,179,173,159,154,136,135,124,84,169,193,188,129,136,140,146,147,156,210,182,165,141,108,89,75,68,110,164,192,191,168,154,138,114,114,117,82,154,198,188,130,137,141,146,143,175,217,186,164,133,111,106,80,111,178,193,191,189,166,146,127,103,94,96,91,183,191,190,131,137,143,148,144,191,218,186,156,134,129,114,106,165,180,183,188,178,158,136,116,96,90,77,143,198,188,190,131,136,142,148,143,198,215,179,161,156,145,124,147,173,180,183,178,167,145,124,107,92,78,99,190,189,192,193,132,138,142,150,145,202,215,187,175,167,149,140,166,175,183,178,161,150,131,113,100,87,73,164,197,189,194,195,133,138,144,148,144,194,215,195,183,167,148,137,159,174,172,165,149,137,120,103,95,72,117,200,190,191,195,195,133,139,144,149,145,182,213,193,183,167,143,128,149,161,159,152,136,126,110,95,82,82,181,196,192,192,194,195,134,140,145,150,149,171,207,182,166,154,137,135,148,159,158,145,125,114,99,86,70,159,198,193,195,195,195,195,135,140,146,151,151,168,197,165,158,150,142,150,142,149,150,137,119,105,93,68,132,199,192,194,195,196,196,196,135,140,144,153,150,166,193,163,167,158,166,163,138,135,142,127,107,100,74,101,193,190,194,195,195,197,196,197,136,141,146,151,152,176,193,177,170,166,162,152,132,120,132,118,100,90,71,171,194,192,196,196,197,197,197,197,137,142,147,147,181,198,170,164,177,170,153,138,125,112,119,108,98,70,113,199,190,195,195,196,197,197,197,197,136,142,142,162,202,190,193,128,136,172,144,129,120,104,104,101,95,61,133,202,191,194,196,196,197,197,198,199,137,143,146,194,192,189,194,191,112,116,132,126,111,88,99,93,89,62,140,202,191,195,196,198,198,198,199,199,139,137,175,202,183,192,191,190,192,103,92,117,100,86,94,87,85,60,146,201,193,196,196,198,199,199,200,200
2,107,110,113,116,119,120,121,124,126,127,129,130,132,133,133,136,133,138,139,140,142,141,141,143,142,142,143,143,108,111,114,117,119,121,123,125,126,128,130,131,133,132,136,135,96,117,133,138,111,127,148,142,144,144,143,144,108,110,116,118,120,122,124,125,127,129,130,131,130,136,137,111,74,83,122,122,82,96,136,143,143,144,144,144,109,111,116,118,120,122,125,127,129,130,129,133,140,135,108,81,65,76,98,99,92,93,83,136,145,143,144,144,110,113,116,119,121,123,126,128,131,131,133,148,146,114,74,67,69,78,76,90,97,97,64,103,151,144,144,145,111,113,117,120,123,125,126,129,131,130,145,151,124,86,57,57,66,79,76,90,91,85,81,131,149,146,146,146,113,115,118,121,123,125,127,130,129,137,155,122,86,61,53,46,65,89,98,86,102,114,136,150,147,148,148,148,112,115,118,121,124,126,128,129,128,152,141,93,64,61,61,59,81,84,87,126,150,149,150,147,149,149,149,149,112,115,119,122,125,127,130,126,145,151,117,83,59,62,61,71,69,94,135,150,146,146,148,148,149,149,149,149,113,115,119,123,125,128,128,133,155,130,93,59,56,56,67,75,87,152,148,146,147,148,149,150,150,150,150,150,113,116,119,123,127,129,128,155,148,111,79,62,65,57,70,69,119,150,145,148,148,149,150,151,151,151,151,151,115,119,120,124,129,126,146,168,143,106,81,71,69,65,63,89,147,146,147,148,149,150,151,151,150,151,153,153,116,119,122,125,127,126,168,159,128,99,74,68,66,70,71,134,150,147,148,149,150,150,152,154,153,153,154,153,116,119,122,126,126,139,176,151,119,90,70,66,65,67,93,151,147,149,149,149,150,151,152,152,152,154,154,154,116,120,122,127,124,161,170,141,112,83,67,66,68,66,122,151,147,150,150,150,151,153,153,155,156,154,155,154,116,120,124,124,135,176,160,134,107,79,66,67,67,60,135,151,148,150,150,152,152,154,154,144,131,121,133,158,116,121,126,122,160,175,152,125,100,74,64,68,68,61,99,154,149,149,150,153,157,150,131,125,121,96,105,159,117,121,123,132,176,162,141,121,97,73,64,66,69,76,72,111,150,153,154,152,137,130,130,122,103,117,152,156,117,123,118,155,175,154,137,113,91,71,62,66,72,81,90,81,93,123,130,124,116,122,132,96,125,162,156,156,118,120,124,174,165,153,129,105,88,72,59,69,79,90,100,99,89,106,116,129,133,127,104,98,159,155,156,157,118,116,149,175,155,144,122,107,91,72,60,80,96,107,112,107,103,116,126,126,116,108,110,145,159,157,156,156,117,122,170,163,155,142,122,110,91,72,65,93,108,111,116,114,105,113,113,102,120,144,157,157,157,157,156,157,112,145,175,158,153,140,121,108,90,73,71,102,110,109,116,118,91,89,114,143,159,158,156,156,156,158,158,158,118,172,167,156,151,136,115,103,90,74,75,106,108,104,117,98,97,133,155,156,154,155,157,156,157,158,158,158,147,174,156,153,148,125,102,94,82,71,85,100,108,104,100,115,152,157,154,154,155,155,155,156,158,158,158,158,170,161,151,142,137,117,98,88,77,77,88,92,103,94,126,154,152,152,155,155,156,156,155,157,159,158,158,158,160,154,145,134,136,105,89,86,79,84,74,86,116,138,153,150,152,154,155,155,156,156,156,157,158,158,158,158,156,151,140,129,138,99,81,87,86,77,94,135,147,151,150,152,151,153,155,155,156,156,156,158,159,159,158,158
7,178,179,180,180,180,179,179,179,179,179,179,179,180,179,179,178,177,178,169,94,78,99,112,114,132,151,162,180,180,181,183,182,182,181,182,182,182,182,182,181,181,181,180,180,179,183,151,86,93,113,108,110,130,148,166,181,184,184,184,184,185,185,185,185,186,185,185,185,184,184,183,182,180,186,131,83,98,106,109,105,126,153,171,183,186,186,187,186,187,187,186,186,188,187,186,183,182,184,181,180,177,182,157,133,146,107,102,118,133,162,177,177,189,189,190,189,189,189,188,189,190,189,191,182,170,182,188,182,170,172,163,180,208,137,97,118,141,173,178,171,191,191,192,192,194,192,190,192,198,203,199,187,176,183,183,180,172,167,163,159,187,141,110,130,156,181,178,170,194,195,194,193,193,194,200,207,210,207,200,188,188,184,158,165,182,175,175,166,164,151,150,182,170,183,185,174,198,197,198,197,192,198,205,205,202,197,196,196,191,182,165,170,185,176,174,169,151,146,136,160,156,181,190,186,199,197,213,210,201,200,201,199,199,200,197,197,191,175,171,164,154,143,137,136,126,123,129,129,135,179,189,193,199,203,222,211,196,193,199,201,200,198,192,185,175,161,151,142,139,142,153,152,134,183,178,161,137,179,186,194,201,207,219,208,184,182,190,192,191,178,158,145,128,124,151,188,197,196,205,184,156,215,161,186,145,174,185,189,202,211,215,200,178,183,184,169,153,134,142,165,138,140,146,130,193,202,200,194,181,149,143,206,147,161,183,181,203,213,212,199,199,196,184,173,167,174,177,174,168,165,173,119,142,211,198,200,198,154,188,211,152,142,181,176,207,215,215,217,222,203,175,177,182,181,175,165,162,161,156,118,138,212,201,201,198,194,182,197,175,136,173,178,209,216,217,223,222,199,168,169,167,160,161,157,152,146,131,125,199,206,203,203,201,199,207,197,187,172,176,179,211,216,219,221,208,189,178,169,150,133,139,150,147,145,133,140,211,206,205,204,205,202,184,154,158,181,177,179,216,219,219,213,200,193,194,196,171,150,160,173,167,153,150,140,180,214,206,205,205,210,182,150,169,176,175,180,220,222,216,207,200,192,202,202,170,150,157,159,151,141,141,123,178,215,206,207,208,209,203,172,186,170,175,180,219,220,215,207,199,201,212,196,166,150,151,149,146,141,126,138,209,210,210,209,207,206,207,186,179,173,167,176,217,219,213,204,204,208,203,182,157,143,135,130,122,111,126,196,216,210,210,209,208,208,209,194,181,178,165,169,215,215,208,203,204,196,182,167,155,148,128,110,121,154,198,218,212,212,210,210,209,209,211,200,182,187,171,156,209,209,204,201,201,189,177,170,160,146,152,191,206,221,218,215,213,213,212,213,211,210,212,201,181,190,185,167,206,204,203,199,197,189,182,172,144,127,206,225,217,215,214,214,215,214,213,214,212,210,211,200,179,188,187,178,204,197,199,198,186,179,172,149,116,173,227,217,217,218,217,216,215,214,214,214,213,212,212,201,179,185,184,180,202,193,189,184,174,164,149,121,142,221,220,219,220,220,219,218,216,215,215,215,214,213,214,202,181,185,182,176,195,187,181,168,154,141,120,126,208,223,220,221,220,220,218,218,218,217,216,216,214,213,215,198,183,185,181,176,180,173,165,150,132,118,130,201,225,220,221,221,221,221,220,220,218,217,216,216,215,215,212,190,185,185,181,173,167,157,152,141,123,150,209,225,220,221,221,221,221,221,221,221,220,219,218,218,216,217,202,185,188,188,184,176
23,140,143,145,150,152,156,159,160,162,163,165,166,167,167,169,169,169,169,167,167,168,167,166,166,166,166,164,161,141,143,146,150,153,156,159,161,163,164,166,168,168,169,170,170,170,170,170,169,169,167,167,167,167,167,166,163,142,144,147,150,153,158,159,162,164,165,167,169,169,171,172,172,171,170,171,171,171,170,170,169,168,167,167,166,144,145,149,153,156,158,161,163,164,166,169,169,169,169,165,172,173,173,173,173,173,172,171,171,168,169,168,168,145,145,151,154,158,160,163,166,166,165,167,175,186,182,148,127,163,173,175,175,173,174,172,171,170,169,169,168,144,146,152,156,158,161,164,166,166,173,193,190,186,174,158,145,146,126,174,176,174,174,173,173,172,170,170,169,146,147,151,155,158,162,164,167,167,188,187,152,149,122,126,138,120,126,175,175,175,175,175,174,173,171,171,171,147,148,152,156,160,164,166,169,169,188,169,138,88,128,171,171,165,176,177,176,176,176,175,175,174,174,173,171,146,149,153,157,161,165,168,170,169,192,170,152,81,146,183,181,182,180,180,179,179,178,176,175,176,175,174,172,148,150,154,159,163,165,168,171,170,194,174,158,103,159,181,136,172,181,180,180,179,179,178,177,177,176,175,174,149,152,155,158,164,166,168,172,171,199,184,189,199,202,183,96,134,188,182,180,180,181,180,179,178,177,177,176,150,153,157,160,164,167,169,170,175,205,212,213,196,185,140,95,118,188,185,183,183,182,181,180,180,179,178,178,150,153,158,161,165,168,170,184,197,204,208,201,193,176,101,118,142,121,165,181,185,184,183,183,181,180,180,178,151,153,158,162,166,168,198,205,200,205,209,202,188,152,89,109,139,84,82,110,146,187,184,183,182,182,181,180,152,155,159,164,167,171,207,194,187,193,193,180,180,132,82,78,112,91,83,96,94,177,187,185,184,185,182,181,152,155,160,166,167,176,205,190,198,208,202,193,172,124,89,72,79,94,92,101,99,171,189,186,186,185,184,183,151,155,160,166,168,167,215,213,211,203,182,163,141,107,95,84,52,72,94,101,104,174,190,187,187,186,185,184,152,155,161,166,169,168,216,211,188,152,120,111,99,104,104,75,37,68,97,106,109,180,190,188,188,188,186,186,154,156,161,166,170,166,206,190,164,124,100,65,78,113,103,62,62,79,98,107,108,183,191,190,188,189,188,187,153,157,162,167,171,166,195,190,153,107,83,56,94,88,64,62,80,92,93,105,117,190,191,191,191,190,189,187,155,158,163,168,173,163,192,187,147,115,96,71,55,47,64,79,93,101,97,105,160,195,193,192,192,192,189,188,154,158,163,168,173,162,189,187,153,124,100,92,67,61,89,104,109,112,102,134,197,194,194,193,193,192,190,189,153,158,164,168,175,158,187,192,159,128,107,103,87,76,104,114,115,113,104,158,201,197,196,195,194,194,192,191,155,158,165,169,175,160,181,189,157,132,112,106,95,81,105,113,114,109,110,181,198,196,196,196,195,194,193,192,156,159,165,170,175,164,177,185,154,133,114,107,98,89,104,110,114,107,138,200,198,196,197,197,196,194,193,193,155,159,165,170,176,170,175,180,153,131,113,104,101,98,106,110,110,126,187,200,199,198,197,197,197,196,194,193,155,160,166,171,176,172,175,176,144,123,108,105,106,104,103,109,128,188,202,200,200,200,199,199,197,196,195,194,155,159,165,170,175,172,178,179,142,120,109,107,107,107,106,107,172,201,200,200,200,200,200,199,197,196,195,194
4,177,179,180,180,181,181,182,183,182,182,184,184,183,185,185,184,184,183,184,184,184,183,184,183,184,184,183,182,179,180,180,181,181,183,183,184,185,184,184,184,185,185,186,185,187,189,185,185,185,185,186,186,185,185,185,185,181,182,181,183,184,184,185,185,186,185,185,184,184,187,189,179,159,168,189,187,189,185,187,187,187,187,187,187,182,182,183,184,185,186,186,187,185,185,187,173,159,169,211,187,158,118,181,192,188,192,187,189,188,187,187,188,184,184,185,186,186,187,187,188,188,191,212,186,178,148,204,198,169,133,139,170,158,169,194,189,190,188,190,190,185,186,186,188,189,188,187,187,179,182,211,210,178,150,173,208,165,141,98,161,157,121,173,196,191,192,192,191,186,187,187,190,191,189,189,197,191,181,154,200,193,158,150,209,172,140,93,166,167,126,118,199,192,194,193,194,187,188,190,190,192,189,194,210,202,192,129,132,199,152,128,208,180,137,87,165,170,132,100,190,196,194,195,195,189,190,191,191,192,190,199,191,185,178,122,110,170,149,125,171,159,118,89,171,167,127,97,189,199,196,196,196,190,192,193,193,193,192,199,192,169,178,118,95,170,158,137,138,123,90,85,169,151,105,107,198,198,197,197,197,191,192,193,195,195,192,196,199,160,169,134,100,155,169,165,151,151,126,94,136,127,97,111,204,197,199,198,198,191,192,194,194,197,195,196,211,192,159,145,104,114,181,188,190,179,164,123,97,110,94,124,208,197,200,199,200,193,194,196,196,198,197,198,210,194,164,127,92,87,150,183,189,188,162,124,90,95,89,142,211,199,200,199,201,193,194,197,198,199,196,200,209,176,143,127,110,92,83,132,176,179,156,128,102,93,87,154,212,200,201,201,201,195,197,198,198,197,195,202,203,172,145,125,109,96,94,98,122,162,161,145,113,97,83,158,211,200,202,202,201,196,197,198,199,198,197,204,210,186,157,134,120,110,103,122,107,160,185,159,127,106,81,166,211,202,203,203,202,196,197,198,199,200,198,206,208,185,145,124,119,110,100,128,163,196,199,182,148,118,85,158,215,202,204,203,203,197,198,198,199,200,199,208,208,178,150,130,118,125,114,149,198,211,202,196,159,128,99,121,215,203,205,205,205,198,199,200,200,202,201,208,204,180,151,137,127,146,123,174,213,216,199,180,152,129,105,124,215,204,206,206,206,199,199,200,201,202,202,208,202,182,155,145,147,145,137,193,214,209,195,174,140,125,97,146,217,206,208,206,206,199,200,201,202,202,202,204,201,180,161,152,151,142,143,200,213,197,177,164,129,113,93,173,214,207,208,206,206,200,201,202,202,202,203,202,198,176,158,143,161,140,144,200,210,185,160,149,120,105,100,198,211,207,207,205,206,199,201,203,202,204,204,201,195,180,158,162,177,136,145,205,201,174,150,133,112,100,122,215,208,209,209,208,208,200,202,203,202,205,206,203,190,181,167,160,176,143,145,206,180,161,140,121,108,94,158,219,209,210,210,210,210,200,201,201,202,204,205,204,195,185,170,157,171,146,149,195,167,150,125,113,107,97,191,215,210,211,210,209,210,199,199,200,201,203,203,198,207,194,171,157,155,139,136,185,159,134,120,109,103,112,208,210,210,210,210,210,210,200,200,200,201,203,196,199,213,193,168,154,139,123,129,165,141,119,113,109,93,153,216,209,210,210,210,210,210,200,201,202,203,204,193,209,206,191,179,159,129,126,141,160,117,119,108,103,114,202,211,210,210,210,209,210,209
8,189,189,189,190,191,191,191,191,191,192,192,191,190,191,192,192,193,192,191,191,189,189,189,188,187,186,186,186,190,190,191,192,193,192,193,193,193,193,192,191,180,181,193,194,194,194,193,193,192,191,190,189,188,187,187,187,192,192,192,193,194,194,194,194,194,194,194,194,166,161,191,195,195,195,195,194,194,193,192,191,191,189,189,188,193,194,194,195,195,195,195,195,195,195,197,194,152,155,193,196,197,197,196,196,195,195,194,193,192,191,190,190,195,195,195,196,197,197,197,196,197,197,202,189,139,159,195,198,198,199,198,197,196,196,195,194,194,193,192,191,196,196,196,197,198,199,198,198,199,199,206,186,134,167,198,199,199,200,199,198,198,197,196,196,195,194,193,193,197,197,198,199,199,199,199,200,200,201,208,177,136,178,201,201,201,200,200,200,199,199,198,198,196,195,195,195,198,198,199,200,200,200,200,200,200,203,206,165,138,186,199,196,199,200,200,200,199,200,200,199,198,197,196,196,199,199,200,201,201,201,201,201,201,206,204,162,142,195,196,174,181,194,181,183,194,196,197,191,187,195,198,198,200,200,201,201,201,201,201,202,202,209,205,167,154,209,204,167,156,181,160,145,156,166,178,169,149,185,199,198,200,201,201,201,201,201,202,202,203,212,204,171,175,223,215,179,144,166,161,132,131,147,166,158,123,175,200,199,200,201,202,202,202,202,203,203,205,212,201,177,192,227,223,188,139,150,159,140,155,155,172,166,125,173,200,199,200,200,202,202,202,202,203,203,207,204,195,188,194,214,223,191,138,135,150,149,170,158,176,179,143,167,200,201,199,200,201,202,202,202,203,205,207,190,186,191,186,193,218,194,139,119,139,158,167,148,171,185,158,149,192,203,199,200,201,201,202,202,203,206,208,179,169,180,173,178,208,197,139,104,126,160,158,131,160,183,152,131,183,202,200,201,201,202,202,202,203,208,212,175,149,156,153,156,191,193,137,96,118,159,150,124,161,169,133,139,191,202,201,201,202,202,202,203,204,213,220,181,138,136,133,135,166,187,149,96,113,159,145,132,160,143,121,165,200,202,201,202,202,202,203,203,206,219,225,192,138,126,127,129,153,179,154,102,118,154,143,151,146,117,132,189,202,202,201,201,202,202,203,204,208,221,226,201,144,120,125,127,149,173,149,129,156,170,162,166,135,108,159,200,203,204,201,201,202,203,203,204,208,222,226,207,149,124,131,134,164,192,186,184,186,176,159,152,126,113,178,204,204,205,188,190,192,195,196,197,203,222,226,206,152,133,136,150,190,212,212,206,191,173,146,126,111,132,193,205,204,204,134,137,140,142,144,145,170,218,224,203,159,147,142,168,211,221,218,209,191,165,134,107,101,149,187,191,192,195,101,102,103,103,103,104,137,212,225,206,172,158,149,174,218,226,218,201,181,151,120,97,95,118,134,146,165,184,102,102,102,103,102,103,126,204,224,209,180,163,157,173,219,226,209,186,165,133,107,96,104,123,148,174,194,202,104,104,103,103,103,104,119,194,219,204,179,164,160,176,218,216,195,169,144,116,99,121,158,181,197,204,208,208,104,103,102,103,104,105,122,194,210,194,175,164,161,182,210,200,178,148,125,102,104,171,208,201,194,192,196,201,102,102,102,102,103,104,131,198,203,187,173,166,166,184,194,184,161,132,115,100,127,186,209,208,195,182,179,181,102,102,102,102,103,103,139,203,199,184,174,169,170,182,184,174,150,124,111,109,158,185,187,199,199,179,159,153
3,197,197,199,200,202,201,203,203,201,202,202,201,201,200,198,197,196,195,194,191,190,190,188,186,184,183,181,181,203,203,204,204,207,207,207,205,205,206,205,205,205,203,202,201,201,200,196,195,193,191,188,188,187,184,182,181,208,210,209,210,212,212,211,211,209,211,210,209,209,207,204,213,183,185,204,198,197,194,191,191,189,186,186,183,213,215,215,216,217,217,217,216,216,216,215,215,213,212,208,221,170,140,213,202,201,199,197,195,193,191,188,186,220,220,220,221,221,222,222,221,222,221,220,220,218,216,215,220,178,121,210,208,206,204,203,200,197,195,192,190,224,225,225,226,226,227,225,226,228,226,224,223,222,220,219,222,178,107,207,213,210,208,205,204,200,197,196,193,229,229,230,230,231,231,230,230,231,230,230,229,226,225,224,224,179,106,206,219,214,212,210,208,205,202,199,197,234,233,234,234,235,235,235,234,236,236,235,232,231,230,228,234,193,109,200,226,218,216,214,212,209,206,204,202,238,238,239,239,240,239,238,238,239,239,238,237,235,234,231,239,183,100,204,227,221,221,218,215,212,210,208,205,241,242,242,244,243,244,243,242,242,241,241,240,238,238,235,228,178,115,206,232,224,224,222,219,216,213,210,208,246,247,246,247,247,247,247,247,246,245,245,244,242,241,238,228,184,119,191,239,226,226,224,223,220,217,214,212,249,249,249,249,249,249,248,250,249,249,249,247,245,245,244,247,186,97,178,244,228,229,227,225,222,220,217,214,251,252,252,253,252,252,251,251,252,251,250,253,254,245,224,207,216,151,168,255,233,231,230,228,226,222,220,218,253,254,255,255,255,255,255,255,254,254,255,237,222,242,200,112,191,202,118,192,234,239,231,231,228,224,223,220,255,255,255,255,255,255,255,255,255,255,247,211,137,193,213,133,136,189,113,100,133,228,238,233,231,228,225,222,255,255,255,255,255,255,255,255,255,250,237,212,174,150,219,166,106,171,147,123,99,182,249,234,234,231,228,224,255,255,255,255,255,255,255,255,255,241,182,177,200,149,185,176,99,106,149,132,84,164,253,236,235,233,231,227,255,255,255,255,255,255,255,255,249,233,191,124,171,128,138,185,102,96,145,176,102,140,255,237,238,235,232,229,255,255,255,255,255,255,255,255,252,229,186,116,135,87,127,151,80,109,136,206,139,113,248,240,240,237,233,232,255,255,255,255,255,255,255,255,255,224,207,168,115,97,144,125,85,164,207,204,145,111,252,245,241,238,236,233,255,255,255,255,255,255,255,255,255,228,224,187,134,130,164,146,173,246,213,175,97,180,255,245,244,241,237,236,255,255,255,255,255,255,255,255,255,223,222,197,156,134,170,237,247,231,180,131,106,251,252,248,245,242,238,237,255,255,255,255,255,255,255,255,255,227,202,189,159,141,158,232,219,198,153,95,158,255,248,249,248,245,240,238,255,255,255,255,255,255,255,255,255,245,191,192,170,156,155,212,206,173,121,87,230,255,252,250,248,245,241,237,255,255,255,255,255,255,255,255,255,255,203,189,187,165,138,174,169,134,78,183,255,252,252,248,245,242,246,247,255,255,255,255,255,255,255,255,255,255,230,205,187,150,123,134,127,75,154,255,252,252,250,251,255,250,219,164,255,255,255,255,255,255,255,255,255,253,232,223,189,156,139,131,114,97,255,255,255,255,255,240,184,132,88,67,255,255,255,255,255,255,255,255,255,237,219,228,200,184,159,136,87,156,255,254,226,184,148,110,77,72,65,65
22,129,133,137,139,140,142,145,147,149,149,150,152,152,152,150,152,154,152,152,151,150,151,150,149,147,146,146,145,133,136,139,141,143,145,147,149,151,149,155,154,154,153,159,147,138,156,153,153,153,152,153,152,149,148,148,147,135,139,141,143,146,147,149,151,153,164,132,149,158,152,180,142,95,161,154,155,156,156,154,154,152,151,150,149,136,140,143,146,149,149,151,153,158,184,100,135,165,156,183,138,101,162,156,159,139,142,158,153,153,153,153,153,138,142,146,148,151,153,154,154,160,178,104,128,168,158,175,130,107,165,158,164,119,107,165,155,156,154,154,154,140,143,148,150,152,154,155,157,159,180,118,117,170,161,169,133,115,168,162,172,113,111,167,157,159,156,157,156,141,145,149,152,154,155,158,161,159,184,137,113,170,164,174,141,117,168,168,174,108,126,169,160,160,158,159,158,144,147,151,154,157,158,160,163,160,186,157,110,165,168,167,137,116,169,178,173,101,145,168,161,162,160,160,160,146,150,154,156,158,160,161,164,162,185,160,99,154,171,165,132,116,173,184,166,99,159,168,164,164,163,162,161,147,151,155,156,159,162,164,166,162,189,184,108,138,175,177,129,118,181,184,142,99,170,168,166,166,165,163,163,148,152,155,158,161,164,166,168,164,180,184,113,132,180,178,119,127,192,191,116,113,178,167,168,168,167,165,164,150,154,157,161,162,164,167,169,185,175,163,132,127,157,173,112,148,199,177,97,143,178,170,170,169,168,167,166,151,154,158,161,164,167,167,174,208,167,177,191,171,126,125,171,173,181,149,93,166,176,173,171,170,170,169,169,152,156,159,163,167,168,169,178,200,157,118,196,192,145,84,138,153,158,117,105,180,173,174,173,172,172,171,170,154,159,162,165,169,171,170,184,187,176,98,105,183,172,125,78,106,120,86,128,184,174,175,174,173,173,172,171,156,161,163,166,170,173,170,196,193,157,118,64,117,193,163,107,77,84,74,154,183,176,175,174,174,173,173,173,158,162,165,168,171,175,172,201,180,139,111,112,110,179,194,144,105,80,74,165,183,178,177,176,176,174,173,173,158,163,167,169,173,175,174,205,192,147,131,140,144,205,189,156,129,80,75,178,182,180,179,178,177,175,174,174,159,165,168,171,174,176,177,208,185,145,135,155,185,217,177,144,119,71,82,186,181,181,181,179,178,177,176,175,160,165,170,172,176,178,179,208,190,160,153,154,204,205,170,127,107,67,110,193,181,183,181,181,181,179,178,175,161,166,171,174,177,180,180,206,196,169,161,154,212,191,156,118,98,65,138,195,183,184,183,182,181,180,179,177,163,167,171,175,178,181,180,202,193,176,169,161,203,174,143,111,91,63,149,195,184,186,185,184,182,181,180,179,164,168,172,175,178,181,180,196,198,183,179,163,194,160,134,107,83,64,161,193,186,187,187,185,184,183,182,181,164,168,173,176,179,183,183,189,197,186,183,162,193,152,127,97,80,72,174,192,187,188,187,186,186,185,183,183,165,170,174,177,180,183,184,187,197,182,169,146,174,144,127,104,74,92,193,190,189,189,188,187,186,186,185,183,166,171,175,179,182,184,186,188,200,173,148,146,174,132,136,109,63,137,200,190,192,190,189,188,186,187,186,184,167,172,176,180,182,185,186,189,212,189,170,167,175,127,144,88,72,185,195,193,192,191,191,191,189,187,187,185,166,171,176,179,182,185,185,188,214,200,186,180,167,126,133,70,105,199,193,193,192,191,191,191,190,188,187,186
19,130,131,131,133,135,136,137,137,137,138,138,137,137,136,136,135,135,134,131,130,130,130,129,129,127,126,127,125,130,132,134,135,136,137,138,139,138,139,139,139,138,138,138,137,136,136,134,133,133,131,130,130,129,130,129,128,131,133,135,136,137,139,140,140,141,141,140,140,139,139,138,139,138,136,136,136,135,134,133,132,131,131,129,129,132,134,136,138,139,140,142,142,143,144,143,141,141,140,139,140,139,137,138,136,136,137,136,133,132,132,130,129,133,135,136,138,140,141,143,144,145,145,144,145,145,142,142,141,140,139,138,138,138,138,136,134,133,132,132,131,135,137,137,139,141,144,144,146,145,145,145,145,146,146,144,142,141,140,139,139,138,137,137,135,133,134,133,132,136,137,138,142,143,145,146,148,147,147,147,146,145,145,145,147,145,144,141,140,140,140,137,137,136,135,134,133,136,139,142,144,146,147,148,148,148,147,147,148,146,145,139,131,140,144,143,144,144,140,139,138,135,133,135,134,139,140,143,145,147,148,149,150,149,150,148,148,146,151,132,88,98,146,131,133,137,135,130,135,133,72,128,137,141,141,144,146,147,149,150,149,149,145,141,145,144,152,144,137,148,151,137,137,150,142,133,115,76,61,134,138,141,143,145,146,147,150,150,153,156,128,118,126,135,138,129,118,107,116,104,116,133,109,81,71,88,130,142,139,140,144,146,147,148,150,148,149,128,120,132,134,125,126,120,111,71,60,60,66,104,104,121,135,146,143,139,141,145,146,147,148,152,144,155,171,152,153,154,145,134,119,79,53,61,38,34,116,154,150,149,146,143,142,140,141,146,147,148,149,155,143,182,195,167,148,138,131,126,107,68,35,51,40,43,139,151,147,146,144,144,143,144,143,144,146,149,150,155,144,179,184,147,116,86,76,77,88,74,44,52,43,49,144,149,149,147,147,145,145,145,144,145,147,151,152,154,144,161,170,134,78,66,28,22,106,81,51,54,43,63,151,150,150,149,149,148,146,146,145,146,148,150,152,156,142,154,171,131,84,41,11,77,104,75,54,55,41,87,161,151,151,152,151,150,148,147,145,147,148,151,153,158,140,150,175,137,100,68,31,37,36,34,41,42,50,63,157,154,153,151,151,150,149,147,145,149,151,153,154,159,141,148,175,143,108,74,59,26,1,0,9,29,42,40,141,158,153,153,151,150,149,147,146,149,152,154,154,161,139,140,173,139,109,78,63,61,37,24,31,42,50,43,128,161,154,154,152,150,151,149,149,149,152,154,155,159,143,136,169,137,106,79,64,63,48,38,43,50,57,49,133,162,154,154,153,152,152,152,150,150,152,154,157,161,147,133,167,137,103,80,66,64,50,38,45,53,57,58,146,160,155,155,154,153,153,154,151,150,153,155,158,162,151,138,159,129,98,77,64,62,55,47,50,59,59,80,161,158,157,156,156,154,154,153,152,153,155,156,157,162,152,150,163,129,96,79,66,60,60,58,60,69,57,118,166,157,159,158,156,156,155,153,154,154,155,157,160,163,148,153,167,136,105,84,70,61,66,66,68,63,89,159,161,161,160,160,157,156,155,154,154,152,154,156,158,165,142,154,162,136,118,90,68,61,70,69,66,109,157,163,162,160,159,159,157,157,157,155,153,151,154,154,155,158,144,159,151,124,109,88,67,66,67,58,92,162,162,160,160,159,158,157,156,156,155,154,153,151,155,155,157,155,157,168,155,132,107,92,73,62,62,53,110,161,161,160,160,159,158,157,157,156,154,153,152
24,149,150,150,150,150,151,151,151,151,150,150,150,149,147,145,144,142,141,139,138,135,134,133,131,128,126,124,121,153,153,153,154,154,155,154,153,153,154,153,153,152,150,149,148,146,144,142,146,142,138,137,135,133,131,127,124,157,157,158,160,158,158,158,156,157,158,159,158,155,154,153,152,151,149,145,107,134,145,141,139,137,134,130,127,160,160,161,160,161,161,160,162,160,160,161,160,159,157,156,155,154,152,155,69,88,155,141,142,139,137,134,131,163,164,163,163,164,167,169,162,162,162,162,162,161,160,159,158,156,156,163,70,79,158,145,145,141,140,137,135,168,168,167,168,172,138,142,172,165,167,167,166,165,163,162,161,158,162,163,66,85,163,150,149,147,145,141,140,170,170,170,171,170,111,61,166,172,171,171,170,169,168,166,165,160,171,159,57,104,165,151,152,149,146,144,144,172,172,172,172,170,125,51,114,185,171,174,174,172,169,169,168,162,179,154,57,123,167,153,153,151,149,146,144,176,175,174,174,180,150,75,71,188,172,175,176,173,171,171,170,174,179,126,47,144,165,158,156,154,153,149,147,178,178,178,177,181,167,101,41,172,180,176,177,181,178,175,164,168,184,99,41,166,163,161,162,158,156,152,150,179,180,179,178,180,177,135,45,127,193,178,179,150,151,178,138,69,112,93,73,180,164,166,163,159,158,156,152,181,181,182,181,181,183,151,68,68,194,181,161,127,100,117,110,66,40,51,109,182,167,168,165,161,160,158,155,184,185,185,185,184,189,158,98,39,168,181,153,147,115,102,88,119,79,1,141,181,170,170,168,165,164,161,157,187,187,186,187,186,189,171,140,65,109,160,148,158,111,115,114,123,72,14,167,177,173,171,170,168,164,163,159,188,189,189,188,187,188,182,162,84,56,103,115,179,116,69,73,106,98,22,147,186,176,173,171,170,167,164,162,189,190,191,190,191,192,192,167,125,105,84,83,154,124,29,0,131,124,37,80,196,174,176,173,172,171,166,162,191,192,191,192,192,194,193,173,177,122,61,32,127,97,24,0,104,149,95,21,156,183,176,176,175,172,169,166,194,194,195,195,195,194,196,179,168,94,60,37,119,82,14,40,167,168,131,22,94,195,174,177,176,173,169,168,195,196,196,197,198,197,199,188,166,133,121,59,113,111,39,137,183,157,106,16,101,195,175,177,176,174,170,169,196,198,199,199,199,200,201,193,170,165,133,71,92,79,112,197,165,136,88,1,135,194,179,180,178,175,172,170,197,198,199,199,199,198,201,195,160,178,146,110,61,85,185,191,159,121,77,12,163,191,180,181,178,178,176,172,197,198,197,198,199,200,201,197,165,161,149,130,73,98,187,176,149,114,58,22,179,186,181,180,178,177,174,171,199,199,199,200,201,202,201,203,165,149,147,143,99,84,175,175,136,97,35,37,193,183,182,179,178,175,171,168,200,200,201,202,202,203,202,207,174,151,152,147,131,80,158,171,125,76,6,83,204,183,184,181,179,174,175,179,200,201,201,201,200,202,202,205,192,160,158,146,146,66,117,145,87,43,0,139,198,183,184,180,180,190,164,115,208,209,211,211,211,215,214,214,211,166,165,147,127,77,76,106,65,15,10,188,192,188,190,195,178,130,39,0,117,122,128,135,139,144,149,154,157,172,161,134,117,103,66,96,72,0,88,199,182,182,162,104,40,0,0,0,57,58,60,60,57,57,56,50,69,176,168,151,144,116,85,98,54,1,52,72,66,53,23,0,0,0,0,0
8,194,194,194,194,195,194,194,168,140,193,194,194,194,193,192,190,190,189,188,187,185,184,183,182,180,179,178,177,196,195,195,195,195,195,189,145,104,193,195,195,195,196,195,193,193,191,190,189,188,187,186,184,182,181,180,178,197,196,197,197,197,197,178,126,112,199,198,197,197,197,196,196,194,194,193,192,190,189,188,186,185,183,182,181,200,199,199,200,199,194,165,100,149,201,199,199,200,200,199,197,196,196,196,194,192,192,190,189,188,186,185,183,200,201,200,201,201,192,151,84,185,201,201,201,201,201,200,199,199,199,197,196,194,194,193,191,190,188,187,185,202,202,202,203,202,191,148,90,196,203,203,203,202,203,202,200,200,200,199,197,196,196,194,194,193,190,189,187,204,203,203,204,203,189,139,93,201,205,202,182,170,200,202,199,202,202,200,199,192,197,196,195,195,192,191,189,205,205,205,206,205,183,133,90,199,206,190,161,123,141,159,137,170,202,198,193,160,180,198,197,196,194,193,191,207,207,207,207,206,189,162,105,181,203,190,175,141,95,124,119,103,168,142,150,164,133,200,200,198,196,195,193,207,207,208,208,208,193,177,128,161,198,188,191,153,104,97,118,104,153,128,107,158,128,159,201,199,197,195,194,208,209,209,209,209,199,178,146,148,174,180,194,160,109,81,104,130,150,115,87,142,148,109,156,198,199,197,195,209,211,210,210,209,203,189,174,157,157,142,179,161,118,74,81,141,142,100,76,117,164,131,102,164,200,198,196,211,212,211,211,211,204,197,170,146,131,137,148,167,121,75,74,141,131,90,60,114,175,139,88,159,201,199,197,212,213,213,212,213,204,186,148,120,104,108,116,181,149,99,80,139,117,75,48,146,176,123,89,193,201,200,199,213,214,214,214,214,203,191,165,135,98,85,75,170,186,131,85,140,108,63,80,157,157,97,141,204,203,201,200,214,215,214,215,214,197,192,174,136,91,85,83,162,181,130,91,125,114,127,127,158,124,84,191,206,204,202,201,215,215,215,215,213,194,196,176,135,101,87,101,180,148,91,107,132,143,144,117,126,93,111,207,206,205,203,201,215,215,216,216,214,197,197,172,143,107,96,112,165,161,160,175,169,150,138,97,89,69,166,208,207,206,204,202,215,216,217,216,213,198,195,177,146,105,108,149,190,196,199,189,166,145,122,80,65,125,206,209,208,206,206,204,216,215,216,215,213,192,194,183,147,112,124,180,199,202,201,180,157,132,102,65,114,204,212,210,209,207,206,205,215,214,216,216,214,192,188,181,153,124,139,185,198,206,193,166,143,115,77,102,201,211,210,209,208,207,205,203,216,216,217,217,216,197,190,180,155,126,147,182,183,185,170,148,122,88,90,194,211,210,209,209,208,207,205,202,217,217,217,218,216,197,191,182,153,134,146,177,170,164,140,117,88,79,185,212,212,211,209,209,208,207,206,203,216,216,217,217,214,198,187,175,158,147,146,172,162,145,120,84,72,174,214,215,214,213,210,209,207,207,206,204,217,217,217,217,208,196,186,180,172,157,147,163,149,122,93,72,169,214,216,216,214,214,211,210,208,207,206,188,214,216,217,217,199,194,187,186,172,156,154,159,133,95,67,154,215,216,216,215,214,214,211,205,191,176,139,94,149,154,158,162,176,198,195,189,171,158,155,144,113,78,84,190,201,203,203,203,202,180,141,109,82,70,57,52,108,109,109,108,165,202,194,180,164,158,141,127,100,67,78,111,118,121,121,121,106,80,59,55,48,45,47,42
17,127,129,131,135,137,137,138,140,142,143,144,145,146,149,148,150,151,150,151,151,152,152,151,150,150,150,151,149,129,132,134,137,138,141,142,143,143,144,145,146,148,148,151,150,151,151,152,153,153,153,152,151,151,151,150,149,132,136,137,140,142,143,145,146,146,146,148,147,165,129,129,157,152,153,153,154,154,155,154,153,153,153,152,151,137,139,141,144,146,146,147,149,150,151,149,158,159,99,102,162,154,157,156,156,156,156,156,155,154,154,153,153,141,144,146,148,150,150,151,152,153,154,153,162,173,95,99,167,156,159,158,158,159,159,159,159,157,157,157,156,145,148,150,152,154,155,156,157,157,158,156,168,189,125,89,161,160,161,162,161,162,161,162,161,160,158,159,159,149,152,155,157,159,159,159,160,161,163,160,176,193,142,74,138,170,163,165,165,165,165,166,166,165,161,160,160,153,157,159,160,163,163,164,164,167,168,163,184,185,156,95,113,176,166,168,168,168,169,169,168,167,165,164,164,157,160,162,165,166,167,168,169,170,171,165,195,166,174,116,92,173,172,172,173,173,172,172,171,170,169,168,168,161,164,167,169,170,170,172,173,173,174,174,199,147,185,129,85,166,178,175,177,177,175,175,175,173,172,171,170,164,166,169,173,174,174,176,176,176,174,170,203,158,198,160,91,154,185,178,179,180,180,179,178,177,176,174,173,167,170,172,176,176,176,178,179,181,185,156,131,133,190,173,102,138,190,180,183,183,182,181,179,179,178,178,177,170,173,176,177,178,179,181,179,193,204,172,121,80,147,170,107,124,193,182,186,186,186,184,183,181,181,180,179,172,175,178,179,181,182,183,184,189,163,161,160,134,115,126,103,109,195,185,187,188,188,187,187,185,184,182,181,174,177,180,182,184,184,185,188,193,139,145,174,186,156,87,78,98,193,188,190,191,191,191,190,187,186,185,185,177,181,183,186,186,186,185,191,213,197,138,148,172,139,78,67,80,182,194,193,193,193,192,191,191,189,187,187,179,182,185,188,188,188,193,182,141,212,158,91,154,145,88,68,63,160,202,193,194,195,194,194,193,192,191,188,180,184,187,188,190,190,202,169,103,138,167,62,110,178,104,68,54,148,207,195,197,197,196,196,195,195,194,192,183,187,189,191,191,194,205,181,132,92,151,99,102,198,125,80,51,143,210,196,199,199,198,197,195,195,194,193,185,188,191,193,193,198,195,139,101,73,129,125,131,207,146,100,53,146,212,198,200,201,200,199,197,197,196,196,187,189,192,195,194,201,188,154,115,108,106,143,182,190,151,114,60,158,211,199,202,202,200,200,201,201,198,197,188,191,194,197,196,206,202,147,133,126,130,217,199,161,132,108,65,181,209,202,204,203,202,201,201,201,200,199,190,193,195,198,199,219,187,161,152,111,163,216,166,148,124,89,75,198,207,205,205,205,205,204,202,202,201,200,192,194,196,198,201,222,200,183,129,125,176,197,151,146,123,76,82,208,208,208,208,207,206,206,204,204,202,201,193,196,198,199,203,217,215,157,152,124,204,196,150,142,111,69,96,215,208,209,209,208,208,207,206,206,204,202,194,196,199,201,202,203,202,165,157,137,219,190,147,127,98,63,113,218,208,210,210,209,209,208,206,207,205,204,194,197,199,202,201,194,191,178,146,143,215,175,130,104,86,57,144,221,209,213,211,210,209,209,208,207,207,207,195,199,200,201,205,193,173,176,148,146,197,158,117,89,74,67,190,217,211,213,212,211,212,211,209,209,208,208
8,105,112,118,123,127,131,134,136,138,140,142,144,146,149,151,152,155,156,157,158,158,159,161,163,163,163,163,163,106,113,118,124,128,132,136,137,139,145,133,135,148,150,152,154,156,157,158,159,159,161,163,164,163,164,163,163,108,115,120,125,130,134,138,138,147,161,119,108,150,151,152,155,157,158,159,160,162,164,163,164,164,164,164,164,109,116,122,128,131,135,138,137,156,153,102,102,152,152,153,156,158,158,160,162,164,163,164,165,165,165,165,166,111,116,123,129,132,136,138,139,168,136,88,116,154,153,155,157,160,161,162,164,165,163,146,159,167,166,167,167,114,117,124,130,133,137,139,145,171,122,84,131,155,156,157,158,161,163,165,164,173,159,99,134,170,168,168,168,115,119,125,129,133,138,140,156,170,122,88,144,155,156,158,160,163,164,165,164,181,152,84,127,172,170,171,170,115,120,126,131,136,139,139,165,163,118,93,148,151,156,160,151,144,157,164,154,180,155,99,121,173,171,171,171,116,122,128,132,136,140,139,174,158,111,107,148,130,135,163,147,118,118,155,140,176,163,128,104,161,173,173,173,117,124,131,133,136,141,142,184,162,125,159,156,130,119,160,146,110,107,145,129,156,173,138,97,127,175,173,175,118,124,130,133,138,142,146,190,163,145,192,164,126,120,156,134,96,106,135,112,159,181,141,97,110,178,175,177,118,125,130,135,139,141,152,184,154,134,192,171,117,126,153,121,83,102,125,105,177,179,140,94,120,180,177,178,120,126,131,134,138,141,155,180,163,144,177,162,105,135,150,112,81,84,116,106,179,169,130,87,126,181,179,179,120,127,133,135,140,141,164,182,176,167,177,162,121,138,161,124,79,86,118,132,173,151,116,83,136,182,180,180,121,126,133,136,139,143,180,174,168,155,167,170,137,149,173,132,84,107,140,161,167,139,106,81,148,182,180,181,120,126,133,138,140,151,180,151,143,135,143,147,119,142,142,115,132,161,165,148,148,134,104,79,152,183,181,181,121,127,133,137,140,167,179,152,136,124,109,105,100,111,140,167,179,169,160,134,122,120,100,77,157,184,181,183,122,129,133,138,140,188,180,159,140,119,105,101,112,158,199,202,179,162,147,120,103,101,88,86,175,184,183,184,122,130,134,138,151,199,182,163,141,121,106,96,144,200,207,199,176,150,131,107,93,91,76,119,184,184,184,185,124,131,135,137,168,204,180,162,144,130,117,126,186,202,200,188,163,138,118,98,85,84,74,158,186,185,185,186,124,131,137,135,182,206,179,162,151,143,139,171,195,196,189,175,150,126,109,90,81,77,80,173,188,185,186,188,125,131,138,137,194,204,181,169,162,157,172,192,200,185,170,159,138,116,100,84,79,73,98,182,187,186,187,188,126,132,138,138,200,206,184,170,161,164,188,199,194,171,157,146,127,108,92,81,76,73,140,187,187,189,189,188,127,133,138,139,194,209,190,174,162,165,186,192,177,159,146,136,117,99,85,77,72,111,179,186,187,188,189,189,125,132,138,139,187,208,191,178,163,161,175,179,169,157,139,130,111,92,80,73,100,172,186,187,187,189,189,190,126,133,138,140,176,197,179,170,161,161,167,173,171,158,140,128,109,87,71,82,159,187,187,187,188,189,190,190,126,133,139,140,167,184,177,169,170,169,158,163,164,150,133,120,100,75,67,136,183,186,187,188,188,189,190,191,127,134,140,141,164,188,185,177,179,172,155,156,160,146,126,112,90,63,95,174,185,187,188,189,190,190,190,191
13,161,165,167,168,170,172,174,175,175,176,177,178,178,178,178,178,177,176,176,175,174,172,171,171,171,168,167,166,163,165,167,169,171,173,174,176,176,178,179,179,180,180,180,180,179,179,178,177,175,175,174,173,172,170,169,167,164,166,169,170,172,174,176,177,179,180,181,181,181,181,181,181,181,181,181,180,178,177,176,175,174,172,171,170,165,168,170,171,172,175,178,179,181,182,182,183,184,183,183,182,182,184,183,181,180,180,178,177,176,175,173,172,166,169,170,172,174,176,179,180,181,183,183,185,184,177,177,184,183,178,179,182,181,181,180,179,178,176,174,173,167,170,171,172,175,178,180,182,183,184,184,186,175,144,125,161,171,140,120,155,184,182,181,180,179,178,176,174,168,171,172,173,177,179,181,182,183,185,185,189,183,152,123,108,139,132,98,97,180,184,183,182,181,179,177,175,169,171,173,174,178,180,182,184,185,187,188,190,196,163,135,92,113,136,107,75,162,187,186,184,183,181,178,177,170,173,174,175,178,181,183,185,186,188,189,190,195,167,130,89,92,127,104,68,149,188,186,185,185,183,181,180,170,173,175,177,179,182,184,187,188,189,190,192,187,165,127,92,76,104,90,64,147,189,186,185,184,183,181,180,171,175,176,178,180,183,186,188,188,181,159,166,164,161,131,102,77,104,95,67,160,191,188,187,185,184,182,181,171,174,176,179,181,185,187,189,190,167,122,105,110,147,162,125,87,109,106,71,156,193,189,187,187,185,183,182,172,175,177,180,182,185,188,189,192,162,125,108,89,127,175,136,88,96,100,65,109,190,190,188,188,187,185,184,172,176,178,180,183,185,186,173,143,149,140,125,93,71,127,105,78,86,85,74,78,159,193,189,188,187,186,184,172,176,179,181,183,184,190,158,113,110,149,134,109,60,42,48,62,88,93,95,88,106,189,192,189,188,187,186,173,177,179,181,183,194,190,146,119,103,130,137,115,85,38,52,73,85,116,116,103,79,165,194,190,189,188,186,174,177,181,182,186,195,164,148,133,117,102,131,119,96,52,59,111,125,131,119,104,75,148,195,191,189,188,187,174,178,181,183,187,198,161,137,130,115,97,108,109,81,55,65,136,154,149,114,94,75,159,196,191,189,187,187,175,178,181,184,188,192,160,123,110,103,82,62,83,74,66,85,152,156,146,117,85,78,179,196,193,190,189,188,175,179,182,183,187,189,177,151,115,86,63,49,75,91,86,128,170,153,138,111,75,96,193,195,195,192,190,188,176,180,182,183,185,188,184,165,136,112,96,93,96,109,121,171,171,144,124,104,69,123,199,197,195,192,191,189,177,181,182,184,187,186,181,170,149,131,110,110,124,159,172,175,159,136,115,96,67,151,200,197,196,193,191,189,178,181,182,185,187,188,177,161,146,127,110,113,124,171,173,163,146,126,107,84,70,175,199,197,195,194,192,189,177,181,183,185,188,189,172,153,146,129,116,117,120,160,167,157,136,114,96,74,85,193,199,197,195,194,192,191,178,182,183,185,188,192,181,158,146,133,125,120,121,153,162,151,128,102,84,60,125,201,199,197,196,194,192,191,178,181,181,184,187,191,192,166,148,140,128,116,113,137,149,138,113,87,69,71,179,201,199,197,196,193,192,192,177,180,182,184,187,190,194,185,157,140,124,114,109,123,136,126,102,81,59,119,201,200,199,197,195,193,193,193,175,179,181,183,187,190,192,192,173,144,125,112,111,116,128,122,100,80,63,160,201,199,197,195,194,193,192,191
7,175,178,180,181,183,183,186,186,186,186,186,186,186,186,185,185,185,184,185,183,182,181,180,180,178,177,176,175,177,180,182,182,184,184,187,187,187,188,188,188,187,187,187,186,186,184,184,185,184,182,181,180,179,179,178,178,179,181,183,184,187,187,188,189,190,191,190,189,189,190,190,188,187,187,186,186,184,184,183,181,180,180,180,179,180,182,184,185,187,189,191,191,191,191,191,191,192,191,190,188,188,188,187,186,186,185,183,183,182,181,180,180,182,184,187,188,189,191,194,193,193,194,192,193,193,192,192,190,190,188,188,187,186,186,185,184,184,182,182,181,183,186,189,190,192,194,194,195,195,195,195,193,192,193,193,192,192,190,189,189,187,187,186,185,185,184,183,181,186,188,191,191,194,197,199,202,200,198,199,200,200,200,199,198,197,197,195,196,194,190,189,187,187,186,184,183,186,188,192,194,195,193,179,172,182,187,180,170,172,172,179,178,175,172,177,166,166,183,187,188,189,188,185,185,188,191,194,194,193,178,146,122,124,138,149,140,131,121,136,154,154,138,151,125,150,190,161,188,191,188,186,185,190,192,191,189,179,168,159,148,119,103,122,129,132,118,123,142,140,135,133,128,138,164,146,188,193,190,188,187,188,184,176,170,172,177,178,156,105,89,104,117,109,86,96,92,98,107,101,99,106,111,153,193,178,188,190,187,179,175,174,174,167,156,168,138,82,94,106,124,123,109,92,104,137,154,144,125,139,140,173,216,144,172,196,189,177,173,170,164,153,148,152,144,104,77,83,102,109,122,116,102,138,157,148,136,135,132,123,139,138,190,194,191,176,167,160,157,156,154,154,156,129,78,53,54,66,89,94,91,106,104,107,100,106,119,133,157,193,198,194,193,169,162,157,154,152,151,152,144,114,78,54,66,138,115,111,120,134,147,157,171,192,201,204,205,199,196,195,195,162,154,148,146,139,139,136,128,104,71,62,53,171,224,206,210,215,215,212,209,205,202,200,200,199,199,197,195,157,152,147,146,145,143,140,136,117,73,59,58,82,217,209,210,208,207,206,204,204,204,203,201,200,200,198,195,157,154,148,148,144,144,148,148,120,74,63,63,60,201,216,210,210,209,208,207,206,206,205,202,201,201,199,198,162,164,159,148,140,130,134,133,108,81,75,68,49,166,223,210,210,209,210,208,208,207,206,204,203,201,200,199,164,163,160,147,139,127,120,113,94,85,85,76,56,85,223,213,213,212,211,209,208,207,207,205,205,203,201,199,157,153,142,127,119,111,103,97,85,81,87,74,48,109,223,213,213,212,211,209,208,208,206,206,205,203,202,200,141,136,118,98,85,82,86,65,62,73,75,98,156,199,217,213,212,211,210,209,208,208,207,206,206,203,201,200,98,110,100,79,100,146,195,163,127,135,171,209,225,216,215,214,214,213,211,210,209,208,207,206,206,205,201,200,25,38,31,114,219,217,217,223,224,223,223,218,214,215,217,215,215,214,213,212,211,209,208,207,206,205,203,202,7,6,11,190,219,211,214,214,214,216,216,217,218,216,216,215,215,214,214,213,211,209,208,208,206,206,203,200,17,0,99,222,209,213,214,216,218,218,218,218,218,216,216,215,215,214,214,212,210,208,208,207,207,208,207,207,24,11,194,218,213,216,217,219,220,220,221,221,221,220,218,218,217,217,217,217,215,212,214,214,207,201,191,176,27,18,182,200,195,198,200,200,200,201,200,200,199,200,198,196,195,194,194,193,191,190,177,138,97,81,62,46
3,132,134,136,138,141,143,144,144,144,145,145,145,145,144,144,140,155,156,90,127,142,138,137,136,134,133,131,130,134,137,138,140,142,144,145,147,147,147,147,146,147,146,146,141,158,146,79,106,147,139,138,138,136,135,132,131,135,138,140,141,144,146,147,148,149,149,149,149,148,148,147,144,157,138,80,99,149,140,139,139,137,135,134,132,136,139,142,143,145,148,149,150,151,150,150,150,149,149,148,146,157,140,80,96,149,141,142,140,138,137,136,133,139,141,143,145,147,149,151,152,152,152,152,152,152,151,150,147,160,159,96,90,147,143,142,142,140,138,137,134,141,143,144,147,149,151,152,154,155,155,155,155,153,153,152,147,165,162,96,84,147,144,143,143,140,139,138,136,141,144,146,149,151,153,155,156,156,156,156,156,155,154,154,148,169,154,88,82,149,146,145,144,142,139,139,138,143,146,149,151,154,155,157,158,159,158,158,158,156,156,156,150,169,153,90,84,152,148,147,145,143,141,139,139,144,148,151,153,155,156,159,160,160,161,160,160,159,158,157,154,178,151,92,83,152,149,148,146,145,143,141,140,146,149,152,155,157,159,160,162,162,163,162,162,161,158,159,151,139,119,75,81,156,149,149,148,145,143,141,140,147,151,154,156,159,161,162,163,164,164,164,163,162,164,181,146,90,64,48,99,161,150,151,150,147,145,143,141,148,153,155,158,161,162,164,165,166,166,165,163,161,146,144,148,112,79,35,132,162,152,153,151,149,146,144,142,150,153,157,159,162,164,166,166,167,167,163,175,175,120,71,121,169,102,69,116,150,159,155,152,150,148,146,144,150,154,157,160,163,165,166,168,164,171,141,109,154,126,85,102,174,97,80,65,92,111,154,153,150,150,148,146,151,155,158,161,165,167,168,167,180,180,142,90,115,145,101,83,143,105,95,80,105,75,132,160,151,150,149,147,152,156,160,163,165,168,168,174,182,169,158,123,90,141,100,73,114,115,105,89,101,64,123,163,152,152,150,148,152,157,160,163,166,169,168,186,182,158,165,127,84,115,99,72,106,84,76,100,83,56,121,165,153,153,151,150,151,156,160,163,166,168,168,181,175,137,142,126,77,89,97,59,130,131,62,118,106,57,102,166,153,152,151,149,154,157,161,165,167,169,170,172,172,152,141,109,61,84,84,44,126,137,64,103,111,55,86,166,153,153,150,147,154,158,162,165,167,169,170,175,183,168,150,100,80,87,95,66,113,116,96,97,88,51,121,163,153,153,154,157,153,158,163,165,167,169,170,174,186,174,162,104,86,87,106,116,158,140,116,99,59,73,165,163,165,162,145,110,155,160,165,168,170,172,175,176,186,181,159,117,101,93,144,167,149,123,93,87,56,128,169,136,115,92,55,34,113,114,116,117,118,118,116,116,172,178,152,135,112,105,153,160,132,106,86,76,57,81,64,34,22,19,25,28,93,94,94,94,94,92,93,81,142,177,153,138,123,98,126,135,111,91,77,62,37,21,19,21,27,25,19,22,100,100,99,100,99,100,108,82,81,175,154,137,122,90,91,90,85,74,61,37,24,26,27,21,20,28,24,19,100,100,99,98,98,99,100,78,33,101,148,140,105,75,77,75,76,54,25,37,18,16,24,23,17,20,26,25,101,102,102,101,100,101,96,58,45,41,74,97,81,78,72,66,56,23,1,24,32,8,15,22,20,18,20,25,101,101,101,100,100,102,81,47,48,46,37,46,70,64,49,42,24,4,2,14,32,20,5,18,21,18,18,24
4,165,166,168,169,171,172,171,170,170,171,172,172,172,175,176,173,172,175,175,172,171,172,172,171,170,171,170,169,168,170,170,171,173,174,172,173,174,173,175,175,174,165,159,171,178,159,153,177,178,172,175,175,172,171,172,172,170,172,171,173,175,176,175,174,177,176,171,173,185,170,136,122,146,152,124,120,168,181,176,177,176,174,174,174,172,173,173,175,177,177,178,179,176,172,158,140,135,181,186,136,74,97,150,97,62,173,180,176,178,177,178,176,175,174,175,177,177,179,179,180,186,193,190,149,90,85,186,135,84,22,89,109,32,137,191,178,179,180,179,179,177,178,179,179,179,175,176,142,123,165,166,174,109,36,134,149,80,25,43,103,41,122,195,180,181,181,181,179,180,181,181,181,180,186,188,138,62,57,107,181,143,47,58,161,129,46,18,132,65,116,198,183,184,183,183,181,182,181,181,181,186,164,154,152,86,29,31,168,184,82,25,165,162,76,19,124,96,128,196,184,185,184,184,184,181,182,183,182,182,171,105,133,139,75,0,119,186,90,30,123,163,90,21,70,76,141,198,186,187,187,187,186,182,184,185,185,186,177,97,87,145,95,35,64,92,70,47,57,99,67,27,48,43,63,196,187,190,188,187,187,185,185,186,185,189,183,161,132,107,71,39,57,58,64,74,75,66,52,43,85,90,51,136,203,186,189,188,187,186,186,187,188,190,193,167,137,101,71,57,69,68,69,94,85,87,51,88,140,130,108,76,186,194,191,191,190,187,187,189,189,192,195,158,125,101,79,81,81,87,109,109,129,147,153,107,138,146,122,53,117,207,189,192,190,187,189,190,190,193,190,150,109,92,72,82,100,113,140,158,169,188,187,172,150,127,85,48,52,192,194,192,193,189,191,192,191,192,197,168,130,101,86,98,108,116,182,171,173,184,177,167,147,115,74,47,39,175,200,192,193,190,193,194,194,191,200,184,143,108,90,94,107,138,189,170,179,179,178,161,140,116,76,43,61,198,195,194,194,191,193,195,195,193,194,192,158,127,96,94,117,140,189,180,190,192,178,161,141,110,73,31,120,210,194,198,197,192,193,195,195,195,194,198,177,139,104,107,132,130,185,191,198,199,187,170,134,94,66,36,179,207,200,199,197,193,194,195,196,196,193,197,189,149,115,120,146,135,180,195,204,205,206,170,122,85,47,74,210,200,201,199,198,193,195,196,197,198,193,189,197,165,119,127,144,147,182,194,209,211,200,154,111,86,30,134,215,200,202,200,201,195,196,198,197,199,191,179,186,174,130,129,141,148,188,194,206,203,170,129,100,73,39,187,207,202,202,202,200,195,197,199,198,201,192,171,187,182,151,131,135,148,181,193,188,177,144,114,90,45,84,216,201,202,202,202,201,194,196,198,200,201,202,174,179,183,166,146,141,150,168,185,173,149,127,96,68,40,171,213,203,205,204,203,203,193,194,195,196,197,203,189,164,172,168,154,148,145,145,154,147,123,97,69,33,114,217,201,204,206,205,203,203,194,195,196,197,197,202,197,165,171,165,153,149,136,127,135,134,109,75,43,44,198,205,204,203,204,203,202,201,196,196,198,198,198,201,198,168,170,155,145,143,129,112,119,120,88,56,30,93,217,201,205,205,204,204,204,203,196,198,199,199,200,200,199,172,165,131,122,133,121,117,116,103,71,54,25,138,215,203,207,205,203,204,204,202,196,198,200,201,201,201,201,174,174,142,139,152,141,131,116,97,76,58,28,166,210,204,206,205,205,205,205,202
7,189,188,189,188,188,187,188,187,187,186,184,182,180,179,178,176,174,171,170,169,166,166,164,162,159,154,152,151,192,192,192,190,192,192,192,190,190,189,188,186,184,182,180,180,177,177,174,171,170,168,167,163,162,159,154,156,193,194,194,193,194,196,195,194,192,190,189,188,186,186,185,184,182,180,177,174,173,170,169,166,164,161,157,156,195,195,195,196,197,197,196,196,194,192,190,189,190,189,187,185,185,183,179,178,177,174,171,170,167,163,160,158,197,197,198,198,199,200,199,198,196,195,195,194,193,189,188,187,186,185,183,181,179,177,173,171,170,166,164,161,200,198,198,199,200,202,201,199,198,197,197,197,195,192,193,190,188,187,185,182,180,180,178,175,171,169,166,164,202,201,201,203,202,202,203,203,201,199,197,198,196,195,194,193,190,189,187,186,182,179,178,176,173,171,168,167,203,204,204,204,204,203,203,205,203,201,199,198,197,197,195,193,193,190,190,187,186,185,183,181,176,172,170,168,205,205,205,205,205,205,205,205,203,202,202,200,202,202,202,201,196,197,193,188,184,177,174,170,174,177,172,170,206,206,206,207,208,207,206,210,212,208,202,200,193,182,170,156,144,122,117,121,124,95,102,142,132,167,177,172,208,208,208,208,207,210,209,188,157,134,124,117,118,110,98,94,99,67,77,84,78,76,86,130,96,154,181,175,209,209,208,211,214,199,170,142,117,78,85,95,95,100,96,98,69,62,54,53,51,56,35,61,116,175,185,177,210,209,213,210,178,155,151,144,116,70,63,63,62,67,71,76,73,85,75,43,52,47,41,47,54,66,142,183,209,216,200,155,139,144,145,132,119,101,83,81,84,96,101,99,102,94,81,31,42,48,32,27,13,39,75,185,219,192,145,140,142,142,131,131,134,119,99,95,93,105,93,87,80,68,46,13,12,15,11,15,13,28,115,186,185,151,149,147,143,138,136,145,129,101,47,38,54,59,45,41,48,51,56,77,111,130,147,152,158,165,182,178,144,156,157,149,144,146,143,119,104,70,13,19,25,2,101,171,171,189,200,205,207,203,202,200,192,188,188,190,148,155,153,148,147,139,113,96,94,61,32,7,1,2,10,165,219,203,200,196,193,192,190,185,186,191,165,126,148,147,153,156,146,121,100,84,83,96,91,26,0,7,0,94,220,199,203,198,193,192,196,199,183,93,32,15,145,150,157,148,123,91,80,76,79,97,78,13,0,0,25,194,206,202,200,205,208,199,171,112,47,3,0,5,147,150,144,119,92,77,72,65,63,66,28,0,0,11,190,214,207,208,212,181,133,80,30,2,0,4,0,0,144,133,107,94,90,83,81,63,38,35,25,7,0,38,231,197,189,187,142,51,12,0,4,5,5,6,0,0,118,101,96,92,80,66,48,30,21,41,46,9,0,88,121,41,35,30,10,4,21,1,0,0,1,4,0,0,104,102,93,68,45,36,29,30,37,47,22,0,19,37,0,0,0,0,3,0,0,3,0,0,0,2,0,0,102,93,72,54,47,44,36,29,24,12,8,26,23,15,4,0,0,0,0,0,0,0,0,0,0,0,0,0,80,58,48,49,46,39,23,13,17,20,23,13,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,9,17,23,26,25,33,40,16,18,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,50,70,67,64,70,71,42,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
24,106,111,116,120,122,124,126,129,129,130,131,132,132,132,133,132,132,131,130,130,129,129,128,128,127,127,125,123,108,112,118,121,122,125,127,129,130,131,133,133,133,134,134,133,132,132,133,132,131,130,128,129,129,128,126,125,109,114,118,120,126,126,128,130,131,133,134,134,134,134,135,134,133,133,134,133,132,131,130,130,129,127,126,126,111,113,128,140,110,129,130,132,132,134,135,135,135,135,136,135,134,134,134,133,133,133,132,131,130,128,128,126,113,110,145,158,86,132,131,132,133,135,136,137,137,136,137,137,136,135,134,134,134,134,133,132,130,128,129,128,114,112,148,153,81,130,133,134,135,137,138,139,139,140,138,138,137,137,136,135,134,135,134,133,132,131,129,128,116,113,147,158,79,123,136,135,137,138,139,140,141,141,140,139,139,139,137,137,136,135,135,133,132,132,131,130,116,115,143,165,88,120,138,135,138,140,140,140,141,141,141,141,141,140,139,138,137,137,136,135,134,133,132,132,117,118,138,168,92,111,141,137,140,140,142,142,141,142,144,142,142,141,140,139,138,138,137,136,136,135,133,132,117,119,135,174,110,95,140,139,139,147,143,138,154,150,132,145,142,142,142,140,140,138,137,136,136,136,135,134,118,122,133,183,135,95,168,149,126,176,146,100,165,164,101,119,151,144,144,142,142,142,141,141,137,136,135,134,119,124,131,173,141,123,199,148,132,180,149,102,160,152,112,84,143,147,145,145,142,136,130,126,139,136,136,134,120,126,128,170,159,154,201,149,132,187,142,112,175,140,103,67,120,153,144,145,124,103,86,67,120,142,137,136,122,129,128,174,179,167,202,156,117,189,132,116,174,135,83,55,112,150,145,140,104,76,80,102,132,142,139,138,123,127,135,171,173,163,190,160,109,175,134,120,165,126,60,34,106,153,143,120,84,100,142,148,143,140,140,139,124,125,145,168,145,150,172,158,105,165,139,120,161,105,45,72,121,146,111,86,93,150,148,144,144,142,141,140,126,126,152,189,132,126,157,148,98,169,132,122,157,94,123,147,135,113,78,83,143,151,147,147,147,146,143,142,126,124,157,203,147,115,149,143,110,176,112,110,161,151,162,140,115,99,73,137,156,150,149,148,148,147,145,142,126,124,160,207,159,108,142,152,138,169,100,136,183,158,143,133,101,81,119,159,150,149,149,149,148,146,145,142,126,125,159,203,161,120,134,146,134,151,160,186,172,151,138,119,85,94,157,153,152,151,150,149,147,146,145,143,127,126,159,202,168,144,129,152,186,197,200,173,159,148,131,97,77,137,158,153,153,153,152,151,149,147,146,144,126,127,149,203,178,151,140,162,196,198,190,168,148,130,114,80,118,161,154,155,154,155,152,152,150,148,148,146,125,130,138,197,181,154,148,168,200,196,177,162,135,112,89,102,160,156,155,154,154,153,150,150,150,148,148,147,127,133,141,187,170,154,150,169,189,178,160,142,122,97,91,155,164,161,162,160,159,158,156,155,154,155,152,145,103,102,108,176,163,160,157,165,178,169,143,119,105,85,92,110,104,104,104,103,102,103,103,103,103,93,96,123,81,78,74,165,171,167,164,168,174,159,126,105,95,80,74,71,70,70,69,67,67,67,68,60,56,90,137,147,87,88,76,165,188,169,171,169,165,148,116,98,86,80,81,81,81,79,78,77,76,77,75,89,141,168,151,129,87,88,74,158,198,174,180,163,152,143,119,90,79,80,79,80,80,79,79,78,78,72,105,168,168,140,138,116
11,150,150,150,150,149,149,149,149,146,149,146,145,145,144,143,142,140,139,138,137,135,134,133,133,131,130,128,129,153,153,152,153,152,152,153,151,154,129,146,148,147,146,146,145,143,142,140,140,138,137,135,134,133,131,134,119,156,156,156,156,156,156,156,155,163,117,114,158,150,150,149,147,145,145,144,142,141,139,138,135,135,134,90,45,160,159,160,159,159,160,159,158,156,141,89,144,157,153,151,150,148,147,145,144,142,142,140,138,135,76,29,30,162,162,162,162,163,163,161,162,159,152,99,115,164,155,155,153,152,150,149,147,147,144,142,146,96,43,38,39,166,165,165,165,166,165,165,164,162,152,108,96,166,157,158,156,155,153,152,150,149,146,147,139,59,55,49,37,167,168,168,168,168,167,167,167,165,157,135,87,155,164,160,158,158,156,155,154,152,149,153,131,50,55,48,45,170,170,170,169,170,169,170,170,168,170,148,84,139,170,162,161,160,158,157,156,155,151,155,127,51,47,35,39,173,173,173,172,172,172,172,172,169,171,155,86,124,175,163,164,163,161,159,158,157,153,159,114,42,48,32,44,174,175,174,174,174,174,173,174,172,158,152,101,105,175,166,165,164,163,162,160,159,155,164,104,36,45,31,37,176,176,175,175,175,176,176,175,177,158,153,136,89,156,175,171,166,166,164,163,162,158,165,94,36,42,29,34,178,178,178,178,178,179,178,177,179,170,158,164,104,137,120,146,173,166,166,165,164,162,160,68,36,28,29,43,179,179,179,179,180,179,178,178,178,175,157,164,172,165,88,89,178,168,168,168,165,164,162,82,73,81,70,50,180,180,180,181,180,180,180,179,181,182,163,169,149,122,99,73,166,173,170,169,166,164,157,143,139,133,119,78,182,181,181,182,182,182,183,182,174,148,167,178,132,67,88,75,141,180,170,170,167,159,157,154,137,102,81,67,183,184,184,183,184,185,182,174,169,107,95,152,128,73,75,78,111,182,169,172,160,163,164,145,102,92,77,50,185,184,184,185,186,184,175,177,162,117,84,98,132,90,69,79,80,176,180,168,147,157,154,101,83,133,127,44,185,185,187,186,184,174,181,163,128,129,110,79,113,108,65,78,75,127,160,135,142,148,111,98,137,144,135,87,187,186,187,188,178,175,161,125,84,112,114,83,87,111,68,73,85,67,89,123,139,119,96,170,130,107,120,119,188,189,189,189,176,173,159,131,78,83,125,62,57,114,80,65,112,93,90,120,122,86,151,175,158,56,104,121,190,191,190,190,172,174,162,127,88,77,102,40,46,120,79,60,128,105,88,111,83,110,180,167,176,130,119,129,191,190,190,192,180,168,160,145,132,92,60,50,49,118,102,74,87,99,100,90,75,167,176,171,169,172,145,118,192,191,191,193,190,169,165,157,140,114,80,69,84,123,120,87,98,136,105,66,137,184,173,173,169,172,149,113,192,193,193,193,194,178,164,156,151,127,101,78,92,143,128,95,120,112,84,73,174,179,175,173,171,172,152,97,193,193,193,193,195,184,168,158,147,129,105,90,84,127,149,133,118,99,65,105,189,176,176,175,173,174,155,88,192,192,193,193,193,190,164,157,139,128,111,97,88,108,130,123,112,86,60,161,184,176,175,174,172,175,149,120,193,193,193,193,192,196,172,150,143,131,118,106,93,92,109,103,94,58,122,187,176,176,174,174,176,167,131,130,194,194,194,195,192,194,189,150,142,133,125,111,91,80,90,84,63,99,186,178,179,176,175,173,137,125,124,130
23,191,195,196,201,208,214,217,222,224,227,230,232,233,236,238,239,241,240,241,240,239,239,238,237,236,236,235,235,192,197,197,203,210,214,220,221,224,229,231,233,235,237,238,241,242,240,241,240,240,240,240,239,239,238,237,236,192,197,198,205,211,215,220,223,226,230,232,234,238,238,239,242,242,242,240,241,242,242,240,240,241,240,239,238,193,198,200,205,211,216,221,225,227,232,234,237,240,242,242,242,242,242,242,245,246,246,247,244,240,239,240,239,195,198,201,207,214,219,224,227,230,234,235,238,239,241,245,244,245,246,244,245,241,222,215,234,245,243,241,241,197,199,201,209,215,222,226,229,232,235,238,239,241,242,244,247,247,246,244,242,233,218,208,197,225,228,245,241,197,200,201,209,215,222,226,229,232,236,239,241,242,245,247,246,249,254,236,245,238,192,221,213,172,143,248,243,197,202,205,211,216,222,227,231,234,238,240,243,246,248,250,248,255,251,199,210,172,111,171,155,138,200,250,243,199,204,206,211,218,223,228,233,236,240,242,246,246,249,248,255,255,245,171,101,160,212,251,233,243,255,247,248,201,205,208,213,219,224,228,232,237,241,243,245,246,250,250,255,251,247,169,139,255,253,255,255,252,249,249,248,202,204,208,214,220,227,231,234,239,240,244,247,248,247,248,255,239,241,216,217,238,205,181,248,253,250,250,250,203,205,210,216,222,229,233,236,239,243,247,248,253,234,229,226,240,248,249,255,242,210,107,206,255,250,251,250,204,207,210,217,223,228,234,237,239,244,247,255,255,229,204,204,213,210,202,221,214,196,107,186,255,250,252,251,205,206,209,218,225,230,235,238,240,245,247,255,250,215,180,168,217,230,218,201,177,182,118,173,255,253,254,252,206,208,211,218,226,231,235,239,245,246,252,255,251,213,185,180,193,217,224,232,210,163,100,161,255,254,255,255,206,208,213,220,227,232,236,241,245,245,255,255,254,233,231,230,206,178,164,179,193,159,78,171,255,254,255,255,207,209,214,222,228,233,238,244,247,249,255,255,253,232,232,218,235,210,179,164,131,115,79,164,255,255,255,255,207,209,215,223,228,233,239,243,245,255,255,255,246,215,210,171,230,233,193,157,118,88,120,172,192,255,255,255,207,209,215,222,229,235,241,238,255,255,255,255,208,155,160,139,145,202,209,144,99,94,127,157,108,199,255,255,209,211,216,223,229,238,235,253,255,255,255,234,205,156,104,114,137,244,229,132,98,93,126,122,85,83,251,255,210,212,215,223,230,234,245,255,255,255,250,220,203,165,96,139,212,237,192,111,91,86,123,112,97,72,213,255,211,213,215,224,231,230,255,255,255,255,231,226,200,149,92,87,128,151,131,85,81,109,120,112,82,116,251,255,211,213,217,225,226,253,255,255,255,247,230,218,182,145,110,76,82,93,102,97,90,124,120,99,146,251,255,255,210,209,221,227,236,255,255,255,255,234,219,201,168,135,100,95,122,130,126,119,103,95,122,202,255,255,255,255,208,211,198,188,255,255,255,255,240,221,204,184,151,122,95,113,137,140,131,110,93,157,255,255,255,255,255,255,206,220,124,74,255,255,255,241,218,200,185,167,137,115,102,125,131,123,92,105,219,255,255,255,255,255,255,255,213,188,90,75,114,218,243,220,207,192,177,155,131,104,100,117,112,84,119,242,255,255,255,255,255,255,255,255,214,123,71,81,74,86,145,173,173,169,155,144,110,77,77,89,92,150,255,255,255,255,255,255,255,255,255,255
14,103,107,111,115,119,121,123,125,129,129,129,132,133,133,135,134,135,134,134,134,133,133,133,131,131,131,130,129,103,108,112,116,120,123,124,127,129,128,131,133,134,135,136,135,135,135,135,135,134,134,133,133,133,132,131,130,104,109,114,118,122,122,125,128,130,131,133,134,135,136,136,138,138,136,136,135,135,135,134,133,133,133,132,131,105,111,116,120,122,124,127,130,131,133,135,135,136,138,137,140,139,138,138,136,136,136,136,135,135,135,134,133,107,112,117,121,122,127,128,131,133,134,136,137,137,138,144,137,139,139,137,140,140,136,137,137,137,135,135,134,107,112,116,121,125,127,128,132,134,135,137,140,134,168,184,165,167,157,132,118,129,142,135,137,138,136,135,135,107,114,119,122,126,127,129,134,135,136,138,136,145,186,182,183,169,154,142,127,115,115,140,141,136,137,137,135,108,116,120,124,127,129,132,134,136,137,141,134,175,191,162,140,119,95,99,115,107,54,68,136,140,137,137,137,109,116,121,125,128,131,133,135,138,141,140,144,195,182,123,62,51,51,54,71,69,61,51,64,141,140,139,138,111,116,121,125,129,132,134,137,138,143,134,169,198,164,92,35,42,52,37,44,65,92,75,31,86,148,140,140,112,118,122,127,129,133,135,136,140,141,137,197,183,121,48,22,49,55,41,48,53,55,62,81,58,103,146,139,114,120,124,127,131,134,136,137,141,137,162,203,139,70,26,25,24,32,51,50,57,58,71,89,84,94,101,143,116,120,125,128,132,135,137,140,141,143,202,190,123,72,48,44,36,26,53,58,106,90,82,72,124,101,86,147,116,122,126,130,134,135,138,143,136,167,217,176,117,73,59,49,48,51,40,108,157,151,144,126,140,73,93,152,117,123,128,132,136,137,140,144,136,185,217,167,109,69,59,47,48,52,70,153,150,149,149,131,135,72,91,153,117,122,128,133,135,139,142,144,138,193,212,164,100,60,48,40,49,45,109,158,149,153,144,125,127,75,75,151,118,123,129,133,136,138,142,143,141,204,207,164,110,63,41,41,39,24,124,165,149,156,129,116,117,85,73,144,119,125,130,133,137,139,142,142,147,214,201,162,111,64,41,31,30,27,47,125,161,150,113,120,106,80,100,150,119,123,129,133,137,140,145,140,162,217,194,157,112,66,35,26,39,51,47,50,86,96,120,132,106,81,141,150,120,125,130,133,137,141,147,138,179,217,190,153,113,68,35,25,38,48,53,68,65,83,125,118,83,114,155,148,118,125,131,134,139,142,147,140,194,212,183,147,116,73,38,30,41,48,65,88,92,89,114,92,95,154,150,149,117,123,130,134,137,141,144,143,201,204,173,144,131,75,45,47,58,68,87,96,88,83,88,76,137,155,150,150,117,125,132,135,139,142,143,147,202,194,162,158,134,68,60,52,70,85,99,91,82,77,67,105,157,151,151,151,119,126,132,136,140,143,142,151,199,185,166,170,131,84,72,51,74,93,98,85,75,67,114,156,154,155,154,152,119,126,132,136,139,143,143,153,196,186,176,175,140,100,75,56,69,90,92,80,67,87,161,155,155,155,154,152,119,126,133,137,140,144,142,160,204,195,187,179,143,101,77,62,65,84,82,75,65,131,160,155,157,155,153,150,119,125,131,135,140,144,140,165,207,195,192,170,130,94,76,67,67,76,74,65,109,160,156,157,156,155,153,150,117,122,128,133,137,142,137,171,203,193,187,147,111,86,75,71,72,73,70,106,159,156,157,156,155,153,151,150
0,163,165,168,169,171,173,174,176,176,177,177,177,177,177,177,177,177,176,176,176,176,175,175,175,175,175,172,171,165,166,169,170,172,174,176,177,178,178,179,179,179,178,178,178,178,178,178,177,177,176,176,175,176,175,174,173,165,167,170,172,173,176,177,177,178,179,179,181,181,180,180,181,181,179,179,179,177,177,177,177,175,175,175,174,168,169,171,173,175,177,178,179,179,180,182,182,182,185,181,181,182,183,180,178,178,179,178,177,178,177,175,176,168,171,172,173,176,178,180,180,182,184,184,179,177,166,180,183,157,156,183,183,180,179,181,179,179,178,176,177,170,172,173,175,178,179,180,181,184,173,174,203,176,129,127,189,155,100,153,177,173,165,148,184,179,179,177,177,172,173,174,176,179,180,181,182,192,162,128,188,192,153,113,187,165,124,86,105,144,179,115,175,184,180,180,179,171,173,175,177,179,181,179,188,205,190,146,132,199,157,114,185,167,127,81,127,143,182,136,128,186,180,182,180,171,174,177,178,180,182,181,199,198,197,172,106,170,163,107,182,174,117,101,152,116,175,164,118,140,185,181,181,172,175,177,179,180,181,186,200,160,190,163,90,137,168,109,179,166,101,101,148,88,149,177,151,105,143,191,180,175,177,178,179,181,178,196,202,154,182,138,84,136,149,100,156,142,92,96,139,95,174,197,161,102,120,191,180,176,177,179,181,183,181,203,197,166,176,125,83,133,126,90,126,124,89,93,126,110,195,190,155,89,154,189,182,176,177,179,182,182,187,211,185,146,149,140,89,116,119,85,117,118,71,132,143,156,190,173,124,96,186,184,184,177,178,181,184,183,188,217,198,166,124,109,73,126,140,86,134,127,114,168,161,162,174,142,92,134,196,184,185,178,179,182,184,183,192,216,195,177,149,108,87,115,122,83,116,172,189,172,162,137,137,119,80,170,193,187,185,178,180,183,185,183,198,217,193,180,165,138,104,105,128,139,179,200,188,166,153,128,105,99,86,187,190,189,188,180,181,183,187,184,201,217,195,179,166,151,111,107,141,184,207,201,182,156,143,116,96,75,125,199,188,189,189,180,182,184,186,184,197,216,200,181,170,162,127,116,138,194,205,199,173,147,130,104,82,83,186,193,189,190,190,181,183,184,187,184,194,214,203,185,172,166,141,118,146,202,206,187,161,134,114,94,69,150,199,189,191,190,190,181,184,184,188,187,191,213,204,189,172,161,142,118,156,199,196,170,152,125,102,73,114,200,191,192,190,191,191,181,183,186,188,188,191,213,201,188,173,155,137,123,169,185,170,161,143,116,86,76,182,196,194,194,193,192,192,182,184,186,189,187,191,215,199,191,174,150,134,140,172,155,152,147,126,103,67,148,202,193,195,195,194,193,192,182,184,184,189,182,203,218,203,201,176,153,142,153,165,140,144,128,112,74,115,201,196,197,196,195,195,193,192,182,185,187,186,186,219,212,204,199,171,152,147,155,147,137,134,120,89,95,194,200,197,196,196,195,195,194,193,181,184,188,182,202,213,195,196,192,160,145,151,145,134,129,119,95,87,179,201,198,197,196,196,196,195,194,193,181,183,185,177,210,201,176,169,170,150,140,147,135,125,119,102,82,158,200,196,197,196,197,196,195,195,194,194,180,186,179,182,215,192,167,149,146,131,143,148,117,115,113,77,128,200,198,197,198,198,197,196,195,195,194,194,182,186,173,202,212,182,152,146,135,117,147,137,103,115,92,87,182,199,197,197,198,198,197,196,195,195,196,195
13,127,131,136,139,141,143,145,147,149,152,151,151,153,154,154,155,155,155,154,153,152,150,149,148,147,147,145,144,129,132,137,140,142,144,146,149,151,153,154,153,154,155,155,155,155,156,156,156,155,153,151,151,150,149,147,145,129,134,139,142,144,145,147,151,154,154,156,158,157,159,160,162,164,157,158,163,161,154,154,154,152,150,149,149,130,135,140,143,145,147,149,153,155,155,157,160,159,160,155,128,126,165,155,128,132,160,156,156,154,153,152,150,131,135,141,145,146,148,151,153,155,156,159,162,160,163,146,107,67,112,131,92,45,109,167,155,156,154,154,151,131,137,142,146,147,148,152,155,157,159,160,162,160,169,171,127,102,45,97,108,54,44,166,159,158,156,155,153,132,137,144,146,148,151,154,156,158,160,161,162,163,165,179,137,102,38,69,108,64,26,153,164,159,157,156,154,134,139,144,147,148,152,156,158,160,162,164,164,165,165,164,136,89,43,38,79,50,17,146,166,159,159,159,157,134,139,143,149,150,153,157,159,161,163,164,165,161,173,158,136,84,54,27,67,44,17,148,166,160,161,160,157,134,141,146,150,151,154,157,160,163,165,166,154,102,92,95,121,117,75,36,84,63,29,162,165,163,162,159,157,135,142,146,149,151,155,158,160,164,164,178,143,86,62,48,117,153,97,42,72,68,10,132,174,163,163,161,160,136,141,147,150,153,156,159,161,164,160,147,138,101,94,47,51,137,86,34,48,44,18,58,173,164,164,163,162,136,142,148,152,154,157,161,160,164,149,76,80,128,100,77,1,13,7,27,46,40,58,32,118,178,163,163,162,136,142,148,153,154,156,159,165,183,129,83,53,111,112,82,42,0,0,14,44,77,80,55,50,174,166,165,163,135,142,149,153,155,158,158,178,154,121,101,83,67,112,87,68,1,17,66,77,94,85,66,26,152,173,165,164,137,144,149,154,155,157,162,181,128,113,112,87,56,88,91,57,7,18,107,126,114,70,57,28,154,173,166,166,138,144,149,155,156,158,163,178,136,83,83,78,56,36,60,28,7,36,120,123,117,76,35,42,173,169,168,166,138,145,151,155,158,158,164,166,145,110,70,49,20,0,31,48,27,80,143,119,108,74,19,73,185,168,169,166,139,145,151,156,157,159,163,167,164,136,95,61,42,30,44,56,66,149,146,112,91,68,12,113,185,170,170,167,139,146,152,157,158,162,164,164,160,145,116,100,75,72,89,112,140,158,132,103,78,56,15,148,179,170,171,169,139,146,153,156,157,162,163,165,156,137,118,93,70,70,97,159,151,137,115,92,69,38,30,174,176,172,171,169,139,146,152,156,157,161,164,168,142,124,116,94,77,78,87,138,142,129,102,77,60,22,56,188,173,174,172,170,139,146,152,157,160,162,165,172,149,127,117,98,91,84,85,132,139,126,94,62,50,3,109,190,174,174,172,170,139,147,154,157,158,161,164,171,168,129,117,109,95,79,76,113,126,109,74,47,24,22,173,179,176,174,172,170,140,147,154,157,158,161,165,169,174,155,122,108,90,79,70,93,110,94,60,43,2,99,191,175,176,174,173,171,140,147,154,158,158,162,165,169,171,175,143,108,86,73,74,83,101,90,60,38,13,161,183,178,177,176,172,170,139,146,153,157,158,160,165,167,170,171,155,122,103,95,99,93,97,93,55,24,57,185,176,176,176,173,172,170,137,144,151,155,156,159,163,166,170,162,160,133,120,118,109,100,97,83,51,16,99,190,175,175,173,172,171,169
15,168,154,151,124,122,140,65,47,75,80,81,84,88,94,106,121,134,143,149,154,161,167,172,176,180,182,185,188,167,157,153,122,128,139,60,51,77,81,82,86,89,95,108,123,136,146,151,156,163,170,175,178,182,185,188,191,167,159,154,120,136,135,54,56,79,81,84,87,90,96,110,125,139,149,153,159,166,173,178,182,185,189,192,194,166,161,154,118,143,129,49,61,81,83,86,89,92,97,112,128,141,151,156,161,169,176,182,186,189,192,196,198,163,162,153,119,148,125,61,78,92,97,103,109,109,104,111,124,138,149,155,160,166,172,180,188,193,196,200,202,165,167,153,130,142,131,109,110,113,118,120,118,113,109,110,114,121,129,136,142,143,139,145,163,185,198,204,206,169,167,143,129,129,124,117,110,109,110,109,106,107,114,116,115,115,115,118,127,130,123,115,112,133,170,198,208,169,158,130,118,115,110,105,101,103,104,104,104,109,118,120,117,112,109,114,124,126,124,115,102,96,109,144,180,172,165,134,118,121,95,87,93,97,99,100,102,109,118,120,118,112,111,118,123,121,122,116,107,100,96,96,109,177,172,136,136,151,76,60,83,86,88,90,93,99,111,126,138,128,121,120,121,121,121,116,110,108,108,98,88,179,174,133,146,155,64,54,82,84,84,87,89,93,108,137,163,150,130,122,117,112,113,112,112,114,121,109,97,180,173,131,154,149,57,58,83,84,84,87,89,94,113,154,162,142,115,102,101,91,92,110,119,123,130,117,106,181,171,130,160,142,51,62,84,83,84,87,89,96,131,166,149,127,99,71,67,59,68,121,138,138,131,115,109,182,169,129,165,134,47,66,85,84,84,86,89,107,159,166,136,114,88,56,44,38,65,137,156,149,127,108,107,184,166,131,170,125,45,70,85,84,84,86,89,122,179,168,132,105,73,45,38,38,79,148,167,159,130,105,101,188,165,134,174,116,44,74,86,84,84,86,89,118,173,174,142,108,67,39,42,55,90,147,171,163,132,105,97,191,162,139,180,109,44,77,86,84,84,86,89,104,156,185,164,123,77,42,52,78,100,142,165,152,126,103,90,193,159,145,183,100,45,80,86,83,83,85,88,98,136,188,184,143,95,60,59,88,125,148,147,127,112,98,82,194,154,152,183,90,47,81,84,81,81,83,86,97,124,177,195,169,141,123,122,138,143,132,116,102,97,92,83,194,150,159,180,81,49,81,83,80,80,82,85,96,119,161,194,181,164,156,158,158,132,105,93,88,88,90,89,192,146,166,175,72,53,83,81,79,78,81,85,97,123,167,179,156,144,146,159,157,121,90,84,87,88,85,81,189,144,174,169,64,55,82,79,77,76,79,84,96,133,178,160,139,135,137,151,151,120,89,95,133,115,75,65,185,143,180,165,72,70,89,84,81,80,81,85,97,136,171,149,133,129,125,134,140,120,93,123,194,141,78,64,181,143,184,175,126,114,120,116,112,109,109,111,116,134,151,142,138,144,127,111,123,123,105,135,194,141,83,68,177,145,188,181,143,116,120,121,120,120,122,124,124,124,126,128,133,158,155,116,109,125,120,131,149,118,82,71,173,148,191,180,141,116,119,121,121,122,122,124,125,125,126,127,127,143,166,141,117,127,129,131,130,106,75,64,168,152,194,177,140,119,121,122,124,124,124,126,127,128,129,130,128,132,144,142,128,131,132,132,129,105,71,51,164,156,195,176,140,121,122,122,123,124,125,127,127,128,130,130,130,131,132,133,131,131,132,132,129,106,75,56
24,162,164,167,171,173,174,176,178,180,180,181,181,181,182,182,183,183,183,184,183,183,184,183,183,182,181,180,180,164,167,170,173,175,177,179,181,181,182,183,183,184,184,185,185,186,186,186,186,186,186,186,186,184,183,183,182,165,168,172,175,178,180,182,183,184,185,185,186,187,187,187,188,187,188,187,187,187,188,188,188,187,186,185,185,167,171,175,178,181,183,184,186,187,187,187,188,188,189,190,190,190,190,189,190,190,190,191,190,189,188,188,186,169,173,176,180,184,185,186,188,188,189,190,191,191,192,192,192,192,193,193,193,193,192,193,192,191,190,189,188,155,146,179,183,185,187,188,190,190,191,192,193,193,193,194,194,195,195,195,195,195,195,195,194,194,192,192,191,142,107,177,185,187,189,191,193,193,193,195,195,195,196,196,196,198,198,197,197,198,197,197,198,197,193,193,194,138,96,172,186,190,191,193,195,195,197,197,189,185,196,198,199,199,199,199,200,199,199,198,192,177,153,159,196,127,86,172,189,191,190,194,192,173,171,192,169,142,151,197,201,199,200,201,201,201,200,192,166,138,105,145,198,119,83,171,191,187,160,162,192,159,133,168,175,152,125,171,203,201,201,201,202,202,200,190,154,105,128,193,200,131,91,163,194,199,169,151,185,172,153,152,184,171,141,139,202,203,203,203,204,202,198,181,129,108,189,202,201,144,109,155,195,206,199,170,160,188,172,143,165,182,147,118,191,205,205,205,204,201,192,158,99,143,205,204,203,168,154,166,190,192,205,189,144,162,187,154,132,171,134,95,181,208,206,201,193,191,169,114,108,192,206,204,203,185,183,178,186,178,173,190,131,110,184,162,106,114,103,81,162,187,186,176,166,161,122,99,179,210,208,206,206,184,193,187,185,182,169,162,122,87,137,134,85,56,85,113,158,180,181,163,139,118,93,158,211,210,208,208,207,187,197,188,184,179,163,150,128,100,86,94,68,62,122,177,193,190,175,147,116,94,127,207,212,210,209,210,208,189,196,187,162,163,158,147,137,120,103,105,109,148,180,196,194,180,160,127,93,94,188,214,212,212,211,211,210,190,194,194,175,152,151,167,157,150,135,133,171,198,199,195,184,167,140,104,82,149,214,215,214,214,213,212,211,191,194,203,201,173,150,152,166,181,183,187,206,205,199,188,171,147,115,84,128,209,215,215,215,214,213,213,213,190,193,199,207,189,164,150,159,177,200,208,208,206,197,177,150,121,90,101,196,217,216,215,215,215,214,214,213,191,195,195,204,206,182,161,161,179,204,212,213,209,188,157,127,98,82,163,216,216,216,215,215,214,214,213,212,192,196,197,207,217,206,180,175,184,210,220,213,198,166,133,103,81,114,208,217,216,216,215,215,214,214,213,214,192,195,198,199,210,217,196,183,187,206,215,203,176,141,110,85,79,176,218,218,219,218,217,217,215,215,208,201,193,195,199,193,190,204,196,187,186,190,191,184,158,121,90,70,114,212,218,218,219,219,217,218,217,207,198,148,182,186,190,191,179,184,189,184,177,165,162,167,147,109,80,70,163,219,220,219,219,220,219,217,203,193,209,179,116,120,122,126,128,161,184,174,161,148,149,157,137,109,84,75,149,178,182,184,187,193,197,198,201,183,178,135,102,103,102,103,102,128,171,150,143,144,157,164,137,116,97,75,96,108,107,109,110,113,124,179,209,183,167,134,104,106,111,110,108,113,155,143,149,160,165,167,139,114,104,80,97,112,113,113,110,112,144,156,196,196,118,153
2,106,120,127,128,133,138,143,149,152,155,157,155,159,166,169,166,174,176,179,176,177,179,179,179,179,180,180,182,109,122,129,130,136,141,144,150,152,152,157,183,203,201,184,181,183,150,123,176,174,173,181,177,179,179,179,179,109,121,129,133,139,144,149,150,162,184,199,185,154,133,93,91,117,87,51,100,110,88,162,183,178,179,178,178,112,123,129,134,140,148,147,165,224,210,149,103,83,80,62,57,61,60,63,68,56,57,161,184,177,178,178,178,114,126,132,135,143,146,171,227,201,130,61,45,51,52,50,54,49,41,65,83,100,161,183,178,178,177,177,177,117,128,134,139,147,151,226,210,108,64,47,31,50,39,38,44,50,89,160,182,187,185,182,181,181,181,180,179,120,131,136,143,147,169,240,166,70,47,43,45,55,38,52,48,150,194,187,185,185,185,184,185,182,181,182,181,123,134,138,147,147,184,239,144,71,44,35,47,43,48,49,86,202,189,189,191,190,191,191,186,192,161,177,186,126,137,141,150,148,208,227,113,49,36,38,36,30,46,39,154,204,195,196,194,196,197,190,196,197,125,179,193,130,140,144,152,151,232,213,113,70,56,54,38,40,40,85,208,199,200,199,200,200,199,198,211,160,105,198,195,135,144,148,152,167,252,207,127,83,66,51,44,64,46,134,217,201,204,205,203,204,200,200,198,119,127,212,197,138,146,152,153,199,255,201,128,78,65,44,47,60,44,169,215,206,209,209,207,211,193,184,176,88,139,217,201,142,149,154,157,212,255,196,122,76,63,45,46,50,46,179,222,210,211,211,213,208,178,186,149,74,126,222,205,145,151,157,159,212,255,190,117,77,58,46,40,54,59,120,209,205,217,223,220,191,191,186,134,67,162,222,210,146,154,160,160,207,255,190,128,86,61,46,44,65,87,80,107,131,137,177,180,184,193,182,110,117,226,214,216,149,156,164,163,212,255,190,133,89,66,46,50,84,99,98,116,139,141,122,155,191,183,142,93,211,224,218,219,153,158,166,167,224,253,191,138,97,70,45,61,93,90,99,125,147,160,157,143,174,161,87,170,234,222,224,222,156,160,168,171,232,247,190,143,109,75,49,68,91,93,124,145,156,146,143,127,130,101,124,239,224,227,227,225,159,164,173,173,231,239,190,149,117,79,55,72,97,113,147,151,146,132,115,107,89,71,216,235,228,230,230,229,162,166,175,179,232,230,186,155,126,83,62,75,100,121,138,143,130,117,102,83,64,175,243,229,231,232,231,230,165,168,177,181,222,218,182,165,136,87,76,79,98,122,127,132,123,106,83,90,201,246,234,237,234,235,235,234,168,170,181,182,214,212,189,177,140,95,86,79,101,117,123,124,116,86,105,230,249,236,239,238,238,238,238,238,171,174,183,186,216,212,196,176,134,100,94,81,108,113,115,114,88,88,225,248,236,240,239,240,240,239,239,239,174,177,186,194,228,216,193,165,131,109,99,81,102,103,98,80,92,214,250,239,242,242,241,241,241,241,240,239,177,179,187,201,240,217,201,168,131,109,96,83,93,99,65,123,232,250,241,245,245,245,244,243,242,240,241,247,178,182,187,210,242,218,211,168,127,103,91,83,93,69,118,247,249,242,246,246,246,246,245,244,247,255,253,223,179,184,190,213,228,209,193,152,106,89,82,85,79,96,234,245,246,247,248,248,247,247,249,255,238,182,111,60,182,187,193,211,212,200,191,153,100,88,91,97,67,170,250,244,249,249,249,248,248,251,228,153,84,40,29,31
12,206,206,208,211,212,213,217,216,217,218,217,216,217,216,215,214,214,213,212,212,212,210,209,208,207,204,205,205,207,209,211,212,214,216,217,218,218,219,220,219,219,217,218,219,216,214,214,213,212,213,211,210,209,208,207,207,209,210,212,214,217,219,219,220,221,221,222,221,221,221,221,221,219,217,217,216,215,215,213,213,212,212,209,209,211,212,214,218,219,219,221,222,222,222,223,224,222,222,222,220,220,220,220,218,218,217,217,215,213,213,212,211,212,215,218,220,221,221,224,226,225,225,226,227,227,229,225,222,223,226,228,219,219,218,220,218,216,214,214,212,214,217,219,221,222,225,226,228,228,229,229,226,223,214,223,230,216,183,183,229,226,224,220,220,219,218,216,213,217,219,221,223,226,228,229,229,230,231,228,239,224,169,142,222,207,150,78,183,206,200,228,223,219,218,218,217,219,221,224,227,229,229,231,233,232,233,235,247,222,168,85,163,200,147,97,105,171,107,133,228,221,220,220,218,221,224,228,229,231,230,233,233,234,232,201,237,206,148,80,141,239,171,123,100,155,111,65,161,236,219,222,221,222,224,229,230,231,233,234,233,254,236,158,194,221,161,63,160,255,191,138,131,165,115,69,134,240,222,223,223,225,226,229,231,232,234,231,255,255,236,179,133,255,207,71,141,255,162,104,196,184,130,58,151,242,223,225,225,227,228,230,232,236,239,233,255,255,243,181,105,239,189,104,118,163,121,126,240,162,93,50,169,241,227,228,226,228,230,232,235,237,237,239,255,243,210,150,95,94,122,93,100,165,220,210,166,105,56,64,212,237,229,230,229,228,232,236,238,239,236,255,255,231,150,116,94,42,53,173,217,218,219,198,155,147,75,128,248,229,231,230,231,231,233,236,238,239,241,255,255,205,153,149,74,42,182,255,253,223,201,168,142,148,86,151,252,232,234,232,231,232,234,238,240,240,244,255,255,172,178,183,88,159,255,255,253,221,192,171,139,124,68,165,253,235,237,235,233,234,237,239,242,239,255,255,255,222,198,167,195,255,255,255,244,219,183,160,130,101,55,191,251,236,237,236,235,234,237,240,244,240,255,255,255,246,230,178,221,255,255,250,235,209,166,146,118,90,44,179,255,236,239,238,237,237,238,242,246,242,255,255,255,255,234,189,236,253,255,234,219,190,154,134,104,83,41,175,255,238,241,239,238,239,240,243,248,245,255,255,255,255,230,191,219,244,230,221,211,170,137,114,91,66,51,226,248,242,243,240,239,240,241,243,247,243,253,255,255,255,212,180,207,218,224,208,190,149,121,102,81,41,169,255,244,246,245,243,241,240,240,244,247,255,255,255,255,229,181,180,208,216,226,208,174,150,121,94,61,171,255,244,248,248,246,244,243,239,240,246,246,177,239,255,243,224,216,209,206,227,230,199,154,145,112,56,170,255,246,248,248,249,247,245,243,241,240,255,211,61,118,255,255,250,230,203,179,211,211,165,130,124,66,123,255,250,251,250,248,249,248,246,245,241,243,250,131,104,75,125,206,197,183,172,161,193,175,134,118,81,88,252,255,251,252,252,250,249,249,248,246,238,255,209,90,103,97,21,70,71,70,64,67,98,105,102,87,62,221,255,252,255,254,253,252,251,250,249,248,238,247,141,92,97,107,21,32,60,54,39,30,26,30,40,22,53,234,255,255,255,254,254,253,251,250,249,247,249,206,95,97,93,103,14,11,47,49,38,34,31,27,19,12,0,143,255,250,254,253,253,251,249,249,248,245
8,181,181,182,185,186,186,186,185,184,183,183,182,182,182,181,179,178,178,177,175,175,174,173,172,170,168,166,166,184,184,185,186,187,186,187,187,186,185,185,184,184,182,181,180,180,179,179,177,176,176,175,173,171,169,168,167,186,186,186,188,188,187,187,187,188,187,186,180,172,182,183,182,182,182,181,179,177,177,176,174,173,170,170,169,186,187,188,190,190,190,189,188,188,187,189,173,131,174,186,184,184,183,181,180,179,179,177,176,175,173,171,170,188,188,190,191,191,190,190,190,190,188,194,159,109,169,187,186,186,183,182,182,181,180,179,179,177,175,172,171,189,190,191,192,193,192,192,192,192,191,197,141,106,179,188,187,186,184,184,183,182,182,181,180,178,176,174,173,191,192,193,194,195,195,194,195,193,197,198,135,116,187,188,189,188,187,186,184,183,183,181,180,179,177,176,175,192,193,193,194,195,196,196,195,193,203,193,128,128,191,190,190,189,187,186,185,184,183,182,182,180,178,177,175,193,194,195,195,196,196,196,195,194,206,182,119,138,194,192,172,169,189,188,186,185,183,182,182,181,179,178,176,194,195,196,197,197,197,197,198,196,211,181,142,153,194,200,173,137,160,180,187,187,185,185,184,182,180,179,177,196,197,197,197,198,198,199,199,198,213,184,165,165,192,194,194,164,134,135,144,180,186,186,186,183,181,180,179,197,197,198,199,199,200,200,200,200,209,189,175,180,202,178,198,187,175,155,106,112,139,140,176,185,182,181,180,198,199,199,199,200,201,201,199,206,203,178,182,193,195,167,156,180,177,158,112,67,71,75,115,185,183,182,181,198,200,201,201,202,202,202,202,206,187,171,175,185,181,149,108,128,188,164,122,69,58,65,79,176,186,184,182,199,201,202,202,203,203,202,211,204,170,153,155,175,167,124,86,80,194,176,130,73,67,72,84,179,186,184,183,200,202,202,203,204,204,205,223,211,180,145,123,164,153,112,88,100,194,183,133,76,58,63,130,189,187,185,184,201,203,203,204,206,204,214,229,207,179,150,127,156,178,165,177,181,177,168,132,84,50,97,181,189,188,186,185,202,205,206,205,206,205,223,223,197,182,154,139,131,193,206,188,189,161,142,128,89,82,173,194,191,190,188,187,203,205,206,207,207,210,228,216,197,182,145,135,171,207,199,171,177,160,120,119,80,134,197,194,193,191,189,186,204,206,207,207,207,214,230,215,198,179,146,169,208,206,189,165,160,153,104,97,71,168,198,195,194,192,190,188,206,206,208,208,208,218,229,217,198,178,160,194,207,197,179,154,146,135,95,73,92,193,197,195,194,192,191,190,207,207,209,208,186,209,225,214,191,172,163,188,191,180,165,143,138,113,78,58,139,200,198,196,195,194,192,190,206,207,210,183,96,126,190,196,174,161,163,170,181,167,150,133,117,86,61,72,183,200,199,196,195,194,192,191,208,209,203,117,75,71,99,158,172,166,163,164,178,159,135,112,85,66,53,135,200,200,199,197,196,194,193,192,208,211,155,77,70,68,66,79,125,152,149,156,165,135,106,87,70,56,99,194,201,201,200,197,196,195,193,193,212,184,95,70,67,64,64,53,42,69,85,117,134,102,76,66,56,87,183,204,202,202,200,198,197,195,194,194,198,119,71,68,64,60,62,61,26,39,42,45,57,60,52,49,104,184,204,203,201,201,200,198,196,194,194,193,141,73,67,66,61,56,59,60,23,28,38,33,28,27,26,80,194,204,203,202,200,201,199,197,196,194,192,191
20,124,126,128,129,132,134,136,137,138,140,141,142,143,143,145,147,146,146,146,147,148,148,148,147,148,147,148,148,126,127,129,131,133,135,136,138,139,140,141,143,144,144,147,134,139,150,149,148,149,149,150,150,149,150,150,150,126,128,130,133,135,136,138,140,140,141,142,144,146,144,159,118,108,130,131,153,151,152,152,151,150,151,151,151,127,130,132,133,135,137,140,141,141,143,145,147,147,146,167,123,129,133,95,151,153,152,152,151,151,152,152,150,128,130,132,134,136,138,140,141,142,144,147,147,146,148,163,122,141,146,91,145,154,152,153,153,153,153,153,152,129,131,133,135,138,139,141,142,144,145,146,147,145,152,173,132,144,150,97,144,157,154,155,155,155,154,154,154,130,132,134,135,138,139,142,144,145,145,147,149,145,160,172,130,157,152,103,141,159,155,156,155,155,155,155,154,130,132,135,137,138,140,142,144,146,147,140,142,151,162,154,126,160,148,99,136,161,156,157,155,155,156,155,154,131,133,135,137,139,142,143,144,146,151,140,101,131,172,146,119,164,138,94,139,163,158,158,157,157,157,156,155,131,133,136,139,140,143,145,144,145,157,141,113,90,145,137,119,164,136,96,148,161,158,159,157,157,157,156,155,132,134,136,139,141,142,144,150,134,135,148,139,129,101,99,107,144,130,97,151,161,159,160,158,158,158,158,157,132,134,137,140,141,140,151,169,131,106,152,158,150,118,79,78,119,120,94,153,161,159,160,159,159,159,159,159,133,135,137,140,142,142,155,143,151,127,101,128,157,141,101,79,101,99,90,158,161,160,161,161,160,159,159,159,134,135,139,141,143,141,160,137,115,111,65,67,149,162,129,85,86,91,86,156,162,161,162,161,161,160,160,159,134,135,138,141,143,143,158,133,110,107,82,79,123,174,147,104,79,86,85,156,163,161,162,161,160,160,160,160,134,135,138,142,143,143,162,158,135,114,92,101,111,174,162,125,87,76,79,157,163,161,162,160,160,160,160,159,135,136,139,143,144,144,171,151,121,107,101,113,124,174,162,135,98,70,75,156,164,162,163,161,161,160,160,160,135,137,139,142,145,145,170,147,123,116,117,115,164,186,150,133,102,70,75,159,165,163,164,163,161,160,160,161,136,137,140,143,144,147,175,153,132,124,124,127,186,182,152,128,106,72,80,163,164,163,163,163,161,162,162,161,137,138,140,144,146,147,176,158,140,120,133,149,185,171,156,128,106,73,88,168,162,163,163,163,161,162,163,162,136,138,141,144,146,147,178,165,143,131,131,160,182,160,152,123,104,70,100,170,162,163,163,163,162,163,163,162,136,138,141,144,148,145,175,166,147,150,132,163,178,159,148,126,99,70,109,171,161,163,163,163,162,163,163,162,136,138,142,144,147,145,166,172,158,163,145,152,170,152,144,127,97,68,108,172,163,164,164,164,164,164,163,162,136,139,142,145,146,147,155,172,164,165,154,146,160,149,143,125,97,70,112,171,162,165,164,164,164,164,164,163,135,138,142,145,146,148,149,169,167,157,144,147,152,144,142,137,97,70,126,171,163,164,164,164,164,164,164,164,135,138,141,145,147,149,148,168,159,147,136,138,149,142,141,137,100,74,145,169,164,165,165,164,164,164,164,163,135,139,143,145,147,149,149,167,153,144,137,135,149,144,138,134,91,86,164,165,165,166,165,165,165,165,165,164,135,139,142,145,147,149,150,170,166,157,143,139,153,138,130,128,80,106,173,164,166,166,166,165,165,165,165,165
7,192,191,191,192,190,191,190,189,188,185,186,185,183,182,181,182,180,179,178,176,174,173,172,171,169,167,166,165,194,193,193,193,191,191,191,191,190,188,187,188,185,184,185,184,183,181,179,178,176,176,175,172,172,169,168,167,197,196,194,194,193,192,192,192,191,192,190,189,188,188,187,184,184,183,181,181,179,177,176,174,175,172,170,169,198,198,197,198,197,196,195,195,193,192,192,191,191,190,189,187,186,184,184,183,181,179,177,176,176,174,172,170,200,200,199,199,198,197,197,197,195,195,193,192,192,193,191,189,188,186,185,184,183,182,181,180,177,176,174,173,202,202,201,200,200,199,199,198,197,197,195,194,193,193,194,190,191,190,187,185,185,184,183,180,177,177,175,174,203,204,202,202,202,201,201,201,199,198,198,196,195,194,195,194,192,191,190,188,186,185,184,183,181,179,177,175,206,206,204,204,204,203,203,201,199,198,202,203,201,198,197,195,194,193,192,190,189,187,186,184,184,181,178,178,207,208,206,205,206,205,201,210,190,160,185,172,186,196,201,202,201,195,191,191,191,189,186,185,185,183,180,179,207,207,208,207,207,205,205,227,200,209,196,124,107,126,150,164,178,196,201,196,192,190,188,187,187,186,183,180,210,209,209,209,209,205,216,219,214,228,195,141,125,109,105,117,118,128,155,184,192,194,193,190,188,185,184,182,211,210,210,210,210,208,221,213,221,218,194,188,191,146,101,101,108,108,106,107,122,137,158,179,193,187,186,184,213,212,211,212,208,214,223,223,226,213,204,211,197,166,132,104,104,105,98,103,103,105,102,137,194,190,187,185,213,214,213,214,211,219,221,227,223,211,209,206,190,182,168,135,101,104,97,98,107,108,105,100,121,148,185,187,214,212,214,212,215,224,228,220,213,208,201,194,195,197,179,147,110,99,106,102,113,107,100,95,92,104,178,190,216,215,216,212,216,225,230,221,211,204,187,190,200,197,177,141,116,107,93,122,193,179,161,151,148,165,190,189,217,216,217,208,220,226,227,212,206,203,192,192,198,181,158,133,113,112,103,116,204,204,203,202,200,198,191,190,217,217,216,207,227,232,223,202,204,205,195,190,181,152,143,131,110,115,122,110,183,204,197,197,196,194,193,191,219,219,210,208,234,228,217,203,202,196,188,182,155,145,145,128,118,114,113,146,201,202,199,199,196,194,193,192,219,222,201,216,233,221,210,210,199,190,184,166,150,152,139,125,98,90,143,198,206,202,202,200,197,195,194,192,220,217,197,227,226,213,208,206,188,185,174,159,159,150,128,121,121,174,209,207,203,204,203,201,197,195,193,192,223,202,204,229,220,210,208,197,188,179,167,162,154,139,117,168,215,213,208,206,206,205,202,200,198,197,195,192,219,193,218,220,216,209,200,196,183,167,166,155,142,120,140,213,213,209,210,209,208,206,204,202,200,198,197,194,207,202,218,213,214,212,190,178,164,160,156,142,125,132,202,217,211,211,210,210,208,206,206,204,201,198,197,194,198,214,213,211,214,198,170,158,150,144,139,124,142,204,219,213,213,212,212,208,207,207,207,204,201,199,197,196,197,214,218,223,193,172,159,144,134,126,116,130,209,220,214,215,214,212,212,209,208,208,206,204,201,200,198,196,203,204,222,208,168,174,151,129,121,116,124,192,223,215,216,215,215,213,212,211,209,208,206,204,203,201,199,197,202,202,209,193,172,180,150,120,112,123,203,224,220,218,217,215,214,214,213,212,210,208,207,205,204,201,200,198
18,162,164,167,169,172,177,183,186,189,193,197,198,200,204,204,206,209,209,210,211,212,212,213,214,212,212,212,211,163,166,167,170,174,178,183,187,192,195,198,199,201,203,204,207,210,210,212,213,214,215,215,214,213,214,212,213,163,167,169,170,174,181,186,190,194,196,199,202,204,206,207,210,211,211,213,213,216,215,214,218,216,216,214,214,163,168,169,171,175,180,187,193,196,198,200,203,205,207,209,211,212,212,213,215,215,217,215,165,217,215,216,216,165,168,171,173,178,180,187,193,196,198,201,204,206,210,211,212,212,212,215,217,212,237,219,116,147,234,221,215,168,170,172,173,179,184,189,194,197,200,204,206,207,211,212,213,212,214,217,225,202,228,225,149,108,159,202,224,168,171,173,175,181,186,191,195,199,202,205,207,209,213,216,213,220,191,158,190,198,192,242,200,157,110,104,159,169,172,174,177,181,187,191,196,199,201,204,207,209,211,192,218,235,181,163,104,171,193,241,216,168,156,152,107,169,172,175,177,181,187,192,196,202,204,206,202,219,222,167,131,214,197,177,114,141,192,205,211,191,171,153,129,171,173,176,178,183,187,193,198,203,206,206,210,240,224,199,116,176,222,170,126,97,181,147,142,190,185,154,137,171,173,177,181,185,189,194,200,204,207,204,244,255,231,205,144,137,222,172,134,76,137,127,80,223,215,172,145,173,177,177,181,187,191,196,201,206,208,212,244,255,241,204,157,107,206,164,121,64,76,99,81,209,231,185,142,173,177,178,181,187,192,197,202,207,202,227,255,241,218,207,152,91,154,133,101,70,47,61,47,199,226,195,144,173,177,179,182,188,193,198,203,207,208,254,251,231,185,159,117,84,119,110,99,48,42,125,113,219,234,182,143,175,179,179,183,189,194,199,205,202,229,255,218,207,180,101,91,85,114,126,86,83,199,229,183,180,208,160,134,178,179,180,184,190,197,201,206,204,224,255,249,196,149,114,117,80,149,164,146,231,237,215,192,133,177,144,130,178,180,181,185,191,198,203,208,208,221,255,255,216,150,140,139,82,158,198,241,245,213,185,193,140,143,150,125,177,181,182,187,192,199,205,210,206,233,255,255,227,192,170,171,137,153,255,250,221,195,174,183,175,125,145,110,178,182,182,187,193,199,204,212,207,242,255,250,205,192,162,146,173,255,255,227,206,194,187,182,180,132,120,98,180,182,183,188,194,200,204,211,207,248,255,240,208,193,164,160,222,255,245,217,209,206,175,177,169,127,97,75,181,184,184,189,196,202,206,210,208,252,255,239,208,213,169,210,229,246,233,205,209,188,154,176,154,112,87,50,182,185,185,191,196,202,206,212,210,252,255,243,232,217,177,196,222,217,218,193,192,167,160,172,129,100,59,115,182,184,186,190,197,203,207,213,212,247,255,239,240,204,172,164,202,198,199,189,180,161,159,133,102,75,72,226,181,184,186,191,197,205,209,214,212,247,255,246,236,190,143,173,185,196,199,186,175,152,131,94,84,50,180,251,182,185,186,193,198,204,208,215,215,240,253,247,207,157,147,184,183,199,200,185,159,141,111,93,58,114,253,237,184,185,185,192,198,205,208,214,215,243,238,224,206,195,191,187,182,205,194,170,137,124,105,73,62,225,246,238,184,185,187,192,198,209,217,213,220,255,254,247,243,228,208,185,172,199,183,155,125,107,88,59,194,252,239,242,184,186,190,194,205,182,167,207,230,255,253,254,240,221,193,184,170,187,173,144,119,100,61,150,255,239,244,244
7,172,172,173,173,173,173,173,173,172,172,172,171,170,170,169,169,168,166,165,165,164,164,149,90,71,62,65,83,174,174,174,175,175,175,175,175,175,174,174,173,172,172,172,171,170,167,166,166,166,165,163,106,65,50,59,73,175,176,176,177,179,178,177,177,177,177,176,175,175,174,173,172,172,170,169,169,168,168,168,127,55,40,55,63,178,179,180,180,180,180,179,179,179,179,178,178,178,177,175,174,174,173,172,171,170,169,169,153,66,37,46,57,179,180,182,181,182,181,181,181,181,181,180,180,180,179,177,176,175,174,172,171,171,170,170,167,120,75,60,73,180,181,182,183,184,183,183,183,183,183,182,181,180,170,168,172,171,165,159,161,155,168,168,163,128,129,137,129,183,184,185,186,186,186,186,185,184,184,184,185,182,164,155,170,174,163,151,150,143,170,162,149,104,150,162,156,185,187,187,188,187,187,188,189,190,195,199,197,186,167,160,164,153,150,138,135,130,130,131,150,119,156,132,149,186,188,189,190,190,187,185,193,202,205,203,195,185,176,174,163,133,131,149,141,135,126,122,124,114,136,119,167,187,190,191,192,205,197,188,189,195,195,192,188,186,184,178,160,142,135,148,145,139,137,123,106,107,133,126,171,189,191,191,204,218,206,192,185,190,193,191,190,187,182,177,155,141,133,126,119,117,115,105,99,94,108,130,163,190,191,194,218,220,205,179,171,180,189,188,185,176,164,152,133,121,117,114,116,121,127,126,131,140,149,166,171,193,193,203,224,216,197,169,168,176,169,164,156,144,135,123,111,110,155,178,177,179,181,179,180,179,178,167,123,195,195,217,223,213,195,183,176,164,157,159,161,155,149,144,144,127,106,159,187,187,185,184,182,180,179,174,127,193,203,226,222,218,214,209,184,163,165,166,164,155,146,142,137,118,72,70,168,189,186,184,183,181,180,178,163,193,216,227,225,223,222,215,180,151,157,154,149,142,138,132,123,107,73,51,148,191,188,186,184,183,181,179,178,207,227,228,225,222,217,205,173,153,140,120,109,117,130,138,142,138,88,80,169,190,188,188,186,185,182,181,179,225,230,229,225,220,211,197,177,160,144,125,126,151,165,156,147,150,113,162,191,190,189,189,187,185,184,181,179,228,230,229,224,214,204,187,169,166,164,146,151,161,154,144,135,127,104,180,195,192,191,190,188,186,185,183,181,229,228,226,221,207,188,169,173,185,175,154,150,146,138,130,120,102,101,187,196,194,192,190,189,188,186,184,182,230,227,223,214,197,185,185,197,195,178,155,131,118,107,94,86,93,151,196,196,196,194,192,190,189,187,185,183,226,220,214,205,197,197,198,194,185,163,133,108,108,117,100,133,172,195,198,197,196,195,193,191,188,187,185,184,218,212,206,203,202,201,188,179,172,151,124,115,169,196,191,199,201,200,199,197,196,196,194,192,190,188,187,186,207,205,206,200,196,193,181,174,160,128,111,171,205,204,204,202,201,201,200,199,197,196,195,194,192,190,187,185,199,197,199,193,185,180,172,157,126,105,162,205,206,204,203,202,202,202,201,199,199,197,196,194,192,190,188,180,197,192,187,177,167,163,149,124,102,152,204,206,204,204,203,202,201,201,200,197,197,196,195,194,192,191,186,173,192,183,171,156,146,136,113,101,153,203,208,207,205,205,203,202,201,201,199,198,197,196,195,192,190,168,162,173,173,162,145,129,117,102,92,151,205,207,207,207,207,205,203,202,201,201,199,199,198,196,195,193,178,95,76,124
23,157,157,158,158,159,160,160,160,160,160,161,161,161,161,161,161,161,160,160,160,160,158,158,157,157,156,154,153,160,161,161,162,162,163,163,164,164,164,164,164,164,163,163,163,164,164,163,163,162,161,160,160,159,158,157,155,163,164,165,166,166,167,168,168,168,168,168,167,167,167,166,166,168,168,166,165,165,165,163,163,162,161,160,159,167,167,168,170,169,169,171,172,171,171,178,170,171,174,169,148,159,172,170,169,169,168,166,166,165,164,163,162,171,171,172,173,173,173,174,176,173,180,201,182,169,180,169,144,123,157,174,173,172,171,170,169,168,167,166,165,174,174,175,176,176,176,177,179,177,195,194,165,117,131,126,140,137,128,147,176,175,174,173,172,172,171,170,168,177,177,178,179,179,180,180,181,184,202,185,154,108,153,160,149,127,112,125,177,178,177,177,176,175,174,173,171,179,180,181,181,182,183,183,183,191,194,187,144,150,179,153,173,172,163,173,183,181,180,179,179,178,177,176,175,182,183,183,184,185,185,185,185,192,188,192,192,197,177,120,147,191,187,186,186,185,183,181,181,181,180,179,178,185,186,186,187,187,180,171,174,180,186,188,186,182,166,112,101,161,187,188,187,187,186,185,184,182,181,180,180,187,189,188,189,186,168,149,154,162,165,162,160,153,137,103,60,78,162,193,190,189,187,187,187,186,185,183,182,189,190,190,189,191,184,179,171,173,164,154,148,131,89,76,53,57,146,196,192,192,191,189,189,189,188,186,185,190,191,192,190,188,191,191,180,157,122,114,119,116,75,71,54,69,173,196,194,194,194,192,192,191,189,188,187,193,194,195,192,180,183,196,178,123,89,61,100,122,76,71,57,99,196,198,197,196,195,195,194,193,192,190,189,195,195,198,195,179,177,199,175,107,61,49,114,125,79,66,49,112,202,199,199,198,197,196,196,195,194,192,190,196,197,199,197,179,175,202,181,123,69,63,100,85,67,55,50,100,200,201,200,199,199,199,198,197,196,195,194,199,199,201,198,178,178,208,186,128,84,47,42,39,44,50,59,97,199,202,201,201,201,200,199,198,198,196,196,200,200,201,197,173,187,211,186,133,97,56,36,46,53,60,67,112,204,204,202,203,202,201,200,199,199,199,198,201,203,203,198,175,189,205,186,138,103,79,62,72,74,73,72,125,208,205,204,203,203,202,201,201,201,200,200,203,206,206,203,178,181,190,172,131,107,92,72,80,81,78,74,147,210,206,206,206,205,204,203,202,201,201,200,205,206,208,206,181,174,176,160,136,126,99,76,81,81,79,83,181,212,208,207,208,207,206,206,204,203,202,201,206,207,209,209,186,178,174,158,140,126,97,80,82,85,78,116,207,212,210,208,209,209,208,207,206,205,203,201,207,208,209,209,191,188,175,156,133,112,91,82,83,85,94,181,215,212,211,211,210,209,208,207,207,206,205,204,208,208,210,208,196,199,180,162,141,111,87,79,80,92,171,216,215,213,213,213,212,211,209,208,208,207,206,205,208,209,211,207,197,198,178,164,144,105,80,76,76,152,217,217,216,214,214,214,213,213,212,210,210,208,207,206,209,211,214,208,195,182,167,153,130,87,72,74,91,198,218,217,216,215,215,215,214,214,213,212,212,209,208,207,210,212,213,205,195,170,157,151,138,85,74,75,118,214,218,219,217,216,217,216,216,215,214,213,212,211,209,208,210,212,212,203,202,172,155,163,159,91,78,77,132,221,219,219,218,217,217,217,216,216,215,214,213,213,210,203
2,165,165,165,166,166,167,166,166,166,166,166,166,166,166,166,165,164,165,164,163,162,161,161,161,141,79,50,56,168,168,169,168,168,168,168,168,168,169,169,169,168,168,168,163,156,161,163,162,163,163,164,163,138,75,56,60,172,172,173,171,171,172,172,172,173,173,173,173,172,173,168,142,115,129,141,139,158,166,167,166,147,89,64,61,175,175,175,174,174,175,175,176,176,176,177,179,176,164,137,104,81,86,98,93,120,154,168,168,159,108,69,62,178,178,178,177,177,178,178,179,178,181,189,186,155,116,90,74,65,66,72,67,79,132,169,171,166,122,69,55,181,181,181,180,180,181,181,182,181,190,192,165,112,74,65,61,56,54,59,62,74,131,171,173,171,138,74,44,183,184,184,183,183,184,184,184,187,198,173,119,78,57,55,57,54,54,63,77,108,157,175,175,174,155,86,46,186,186,187,187,187,186,186,186,195,198,145,87,65,56,52,55,62,83,115,141,164,177,178,177,176,165,117,92,188,188,189,190,189,189,188,189,202,188,127,81,65,64,59,66,91,138,172,180,182,182,181,179,179,173,141,129,189,191,192,192,192,192,191,197,203,170,111,72,62,63,65,94,149,179,185,186,186,185,183,182,182,175,134,141,192,193,194,194,194,193,193,205,200,157,106,74,64,61,72,124,183,190,189,188,187,187,186,185,184,177,145,159,194,195,196,196,195,195,199,213,195,148,106,83,72,65,78,143,191,194,193,191,190,189,188,187,186,182,168,159,195,196,197,198,197,197,208,218,185,137,99,83,77,74,90,165,195,195,194,193,193,192,191,189,188,187,183,168,197,197,198,199,198,199,215,215,175,127,91,78,74,78,106,180,197,196,195,195,194,194,193,192,191,190,187,181,199,199,199,199,198,202,220,207,167,122,90,76,73,78,115,186,199,197,196,195,195,195,194,194,193,193,190,185,200,200,201,201,199,212,221,196,156,115,88,77,75,77,123,192,200,199,198,198,197,196,196,194,193,192,192,190,201,202,202,201,203,221,216,185,145,108,86,74,71,73,113,184,201,201,201,200,198,195,190,183,176,171,173,184,203,203,204,200,206,224,210,176,136,102,81,69,68,74,88,142,194,202,201,196,185,176,170,163,155,143,132,148,204,205,205,200,214,222,202,165,127,98,77,63,69,78,82,102,159,184,181,171,165,162,161,152,140,132,128,142,206,207,203,206,222,218,192,153,118,94,71,62,75,84,90,97,113,133,146,158,163,154,138,125,137,162,178,185,208,207,203,215,224,212,182,145,113,90,68,69,88,97,105,108,110,120,138,150,144,128,118,139,179,196,199,200,208,206,208,223,222,204,172,137,108,88,70,79,99,109,114,113,112,117,124,125,128,142,162,187,201,202,201,200,205,207,220,224,216,196,164,129,101,86,76,89,107,116,117,111,104,102,112,138,171,193,202,205,205,203,202,202,202,212,223,220,209,188,154,120,96,86,83,99,112,115,109,101,100,115,154,191,205,208,208,207,206,205,205,205,208,216,218,210,194,168,135,107,92,85,88,102,109,108,99,105,141,178,202,209,210,210,210,209,208,207,207,207,213,214,208,191,170,145,118,99,90,86,91,98,101,100,108,152,197,210,212,211,212,212,212,211,210,209,208,207,211,207,193,170,150,130,108,95,90,90,91,92,100,121,163,202,213,214,214,213,213,213,213,213,211,210,208,208,208,200,180,153,136,115,97,93,92,91,90,94,130,179,207,215,216,216,215,215,215,214,214,213,212,211,209,209
4,180,180,180,180,180,179,179,178,177,177,177,175,175,174,173,172,169,168,167,167,167,166,165,165,163,160,159,158,181,181,181,182,181,180,180,180,179,178,177,177,176,172,162,160,170,171,169,168,168,167,165,166,163,160,160,158,183,183,183,182,182,182,181,181,178,163,154,162,170,164,137,113,131,171,169,166,169,168,167,165,164,163,160,160,185,185,184,182,183,184,182,183,181,169,159,141,132,134,144,128,103,133,138,120,126,162,168,167,166,164,163,161,185,185,184,184,184,184,182,178,178,170,165,158,136,103,101,131,120,94,88,98,79,124,171,168,166,165,164,163,187,186,185,186,186,184,175,167,163,148,115,111,137,97,67,109,115,88,64,92,84,89,166,169,166,165,163,162,187,187,187,187,187,186,182,178,164,149,109,77,116,98,66,88,100,74,67,102,94,75,155,170,166,166,164,163,188,188,188,188,187,187,165,143,128,150,120,81,101,117,98,89,91,64,76,106,94,75,154,170,167,166,164,163,189,189,188,189,188,189,171,122,79,116,144,111,106,130,140,124,103,94,94,105,110,87,153,171,169,166,165,164,189,190,189,190,189,189,169,121,66,58,136,122,96,111,130,133,106,106,105,104,113,82,122,173,170,168,166,166,191,191,191,191,190,186,152,112,89,79,79,89,76,72,79,108,106,102,100,99,95,81,88,168,171,169,167,167,192,192,192,192,189,185,163,147,122,93,66,61,72,68,68,74,93,97,92,90,97,94,72,151,173,170,168,166,192,193,192,192,191,187,169,151,119,87,64,64,70,76,86,77,66,63,90,113,122,105,73,120,174,170,167,166,193,193,194,193,192,188,175,144,108,80,64,65,75,92,95,93,89,96,114,135,131,114,89,91,171,170,169,167,193,194,195,194,192,189,169,138,109,79,65,72,84,98,108,109,126,146,142,127,149,137,106,75,156,172,171,169,194,194,195,195,192,190,176,153,121,90,72,75,85,109,122,127,140,156,161,149,142,136,105,66,143,174,171,169,195,195,195,195,194,189,176,156,129,96,72,74,92,114,129,143,150,162,160,149,135,113,91,64,148,174,171,169,195,195,195,196,195,186,175,164,140,109,83,76,85,114,137,151,162,167,157,138,123,100,70,81,169,174,172,170,195,195,195,196,195,183,170,168,149,121,97,80,80,118,148,161,171,167,151,129,113,88,57,126,176,174,172,170,195,195,195,196,194,181,166,165,150,126,105,87,84,119,156,165,168,159,140,120,101,76,72,166,176,174,173,172,195,196,197,197,196,181,163,158,150,133,111,94,93,123,161,160,156,147,128,109,91,63,117,180,177,175,172,171,196,196,198,198,197,182,161,157,155,140,116,105,100,128,156,154,148,134,115,98,78,68,160,180,177,175,173,172,196,197,198,198,197,188,165,160,158,144,123,112,101,129,149,148,141,122,101,85,60,108,181,180,179,175,174,173,197,198,198,198,198,196,172,165,164,149,130,113,100,122,144,140,129,109,88,68,68,163,183,180,179,176,175,173,198,199,198,198,198,196,178,174,166,148,134,118,101,111,130,125,111,91,73,56,131,184,182,180,179,177,175,173,199,199,199,199,199,196,185,177,164,149,136,121,106,105,115,109,93,76,54,99,179,184,182,180,178,178,175,174,199,199,199,199,200,196,186,177,161,147,135,122,114,105,104,100,84,63,63,164,186,183,181,180,178,177,176,174,199,199,199,199,200,192,184,173,162,152,146,136,127,111,100,95,76,54,108,186,186,185,182,180,179,177,175,174
18,159,160,161,163,164,165,167,166,166,167,168,168,167,167,166,165,163,163,164,163,161,159,160,159,158,158,156,154,160,163,165,165,165,167,168,169,168,168,168,168,168,167,167,167,165,165,165,164,165,162,161,161,160,159,157,156,161,166,168,167,167,168,170,171,170,171,170,170,169,169,168,169,169,167,165,169,167,164,162,162,161,160,159,158,163,166,168,170,169,169,171,172,171,173,174,171,172,171,172,170,171,166,173,149,154,168,165,165,163,162,161,160,166,169,170,170,171,172,173,175,174,176,176,174,175,176,174,171,170,174,206,110,104,178,165,167,165,163,162,161,168,170,172,171,173,175,175,177,175,177,177,175,173,171,173,179,162,181,215,118,57,175,168,168,166,167,164,164,170,171,173,175,176,178,178,178,177,178,177,181,189,141,104,139,115,136,217,160,53,110,185,166,169,170,167,167,172,174,175,177,178,179,180,182,181,181,179,180,193,179,124,85,95,150,216,170,89,41,148,178,168,170,169,168,173,175,175,178,179,181,183,184,183,180,188,151,94,136,159,103,61,98,179,175,119,90,56,153,179,171,171,169,175,177,178,179,181,183,184,182,187,206,191,155,108,51,142,120,63,36,72,144,137,104,54,74,189,169,173,170,175,178,180,181,183,184,185,180,218,215,212,162,126,62,77,110,51,21,20,137,162,109,68,65,187,172,174,173,176,179,182,184,184,187,181,203,203,189,214,164,131,74,32,58,43,16,14,152,171,134,67,69,188,174,175,175,177,181,184,185,187,186,191,233,206,168,183,154,126,68,28,41,29,18,11,120,168,146,70,58,188,177,178,175,180,183,186,187,187,188,215,203,169,169,173,103,77,49,35,74,11,8,25,131,169,148,76,56,190,177,179,178,181,185,187,189,184,201,233,199,149,127,140,64,57,34,66,68,45,105,109,128,156,126,68,52,190,180,180,179,184,186,187,189,187,204,237,212,183,117,86,108,61,0,75,127,165,166,160,107,108,104,72,40,179,184,181,180,185,187,189,192,187,218,234,219,187,131,92,103,39,13,184,200,186,155,136,115,70,93,77,34,173,189,183,184,186,188,190,192,192,228,232,208,154,128,111,92,50,156,217,195,180,149,110,115,74,72,58,47,190,185,185,184,187,189,191,191,199,230,231,197,156,144,101,61,131,209,201,188,164,140,114,102,82,61,28,115,200,185,185,184,186,189,192,192,205,232,227,191,155,154,98,110,179,212,193,175,161,141,106,93,76,45,35,183,189,188,186,185,188,189,192,193,207,229,220,193,172,168,99,151,171,199,184,163,155,129,90,81,66,20,95,202,186,188,186,186,188,191,194,192,207,224,216,196,186,147,107,117,168,171,170,154,140,110,83,68,49,22,171,196,189,189,187,187,189,193,194,192,207,225,214,207,182,128,87,114,149,156,151,146,124,97,71,57,13,99,206,189,192,190,189,189,191,193,195,194,212,210,204,198,151,95,86,129,139,152,143,128,108,77,54,25,42,191,194,194,195,193,191,190,190,189,195,195,217,207,200,182,150,125,122,129,143,147,135,110,91,66,37,17,165,202,193,196,195,193,191,190,197,204,196,198,228,221,219,201,185,163,138,112,137,143,119,88,72,50,9,133,208,193,197,196,194,193,192,191,158,139,189,215,229,218,217,200,173,148,132,101,125,130,98,76,61,18,114,210,196,198,196,196,195,194,194,192,79,34,48,168,221,216,211,192,163,128,122,102,119,111,83,68,27,87,214,199,200,199,199,197,196,196,195,194
20,170,172,175,176,179,180,181,181,183,182,183,183,181,181,180,179,179,178,177,178,175,173,173,170,170,168,168,167,171,174,177,177,179,182,182,183,185,185,184,185,184,183,183,181,180,179,177,165,175,175,173,172,172,171,170,170,172,174,177,179,180,183,183,185,186,186,187,186,184,183,185,184,180,180,191,122,132,189,175,174,174,173,172,171,173,175,178,180,181,184,186,186,187,187,188,185,186,186,185,185,182,184,192,114,115,163,173,177,175,174,173,172,174,176,178,181,182,185,186,187,189,189,187,187,187,187,186,185,183,192,179,110,85,112,128,185,175,174,173,173,175,178,181,183,183,186,187,188,190,191,190,189,189,188,187,189,183,200,175,98,107,136,111,184,176,177,174,174,177,180,181,184,185,187,189,190,192,192,192,191,190,189,189,189,186,203,169,98,148,141,108,184,179,178,177,175,178,180,183,186,186,188,190,192,194,194,193,193,192,192,190,189,189,201,156,101,172,146,114,184,180,180,179,177,178,181,185,187,188,190,192,193,194,196,195,196,195,193,196,194,193,196,140,114,183,137,122,188,181,181,180,178,180,182,185,187,190,191,192,194,196,196,195,197,197,190,152,163,210,195,131,138,188,124,126,193,182,182,181,180,182,184,186,188,190,192,194,195,197,198,196,195,193,196,150,103,178,189,119,158,196,119,133,194,184,185,182,181,181,185,187,190,191,194,197,197,197,199,196,203,200,194,189,149,121,117,90,157,182,110,147,195,186,186,185,184,182,185,190,193,193,194,196,197,200,200,198,212,210,200,214,195,140,87,62,127,149,104,161,195,188,186,186,186,185,188,191,194,195,197,199,200,202,199,207,195,151,185,186,190,143,96,81,100,109,95,173,194,189,186,186,185,186,189,191,194,197,197,199,202,202,199,215,185,121,168,163,184,168,117,86,82,91,91,184,194,189,188,188,186,187,189,192,194,197,199,201,202,202,201,218,197,155,129,103,161,188,134,93,79,80,98,191,194,191,189,189,188,188,190,192,194,196,200,202,203,203,204,206,162,134,113,70,112,204,151,110,87,75,109,199,192,192,191,190,189,188,190,193,195,196,200,203,205,202,212,203,160,149,127,96,170,207,160,136,99,75,124,204,192,194,193,190,188,188,191,194,196,198,200,203,205,203,218,197,174,148,121,172,228,190,155,146,106,81,132,206,193,194,193,191,189,189,192,194,196,199,201,204,204,206,224,209,169,135,155,233,200,168,143,136,107,88,149,205,194,195,194,192,190,190,192,195,197,200,203,206,205,212,238,201,152,146,193,235,190,161,128,117,107,95,174,202,196,196,195,192,190,190,193,196,198,201,203,206,205,216,233,173,172,149,210,224,188,159,130,102,101,105,193,201,198,196,196,194,192,187,190,195,197,200,202,204,203,218,218,193,189,146,222,211,175,148,127,104,96,126,203,198,197,196,195,193,192,188,190,193,196,200,202,204,204,210,218,220,174,170,223,189,158,134,115,106,94,157,205,198,196,196,195,193,191,188,191,195,197,200,201,204,203,207,218,212,174,159,197,176,142,121,106,101,102,186,204,199,197,196,195,193,192,188,192,196,198,200,202,204,204,208,209,185,167,154,172,168,139,124,108,90,127,204,201,200,198,196,196,194,193,187,192,195,197,200,203,204,205,207,195,178,170,171,169,177,159,121,104,87,156,208,200,200,197,197,196,195,193,187,191,194,197,200,203,205,205,206,207,200,199,190,173,169,158,114,97,92,179,206,198,198,197,197,195,195,193
1,76,13,50,64,70,78,95,110,120,126,130,133,135,139,142,145,152,149,152,154,156,157,157,159,160,158,160,160,68,13,56,64,70,80,97,112,122,128,132,134,137,139,149,144,116,153,156,155,156,158,157,159,160,160,161,161,56,16,60,64,72,82,102,115,123,129,134,136,138,139,163,146,76,135,137,157,157,159,160,161,161,161,161,161,45,22,62,65,74,83,105,117,124,129,136,136,146,137,154,142,87,135,94,149,162,161,162,162,163,162,162,162,34,28,64,67,76,86,107,118,126,132,137,134,164,126,132,136,94,148,94,139,167,161,163,164,164,164,163,164,23,35,64,68,76,88,109,120,127,132,138,138,169,115,140,138,98,149,93,128,170,162,165,165,166,165,165,165,15,42,65,69,78,91,111,120,127,132,140,143,172,101,136,135,95,153,102,125,170,163,166,167,167,168,167,167,14,49,67,71,79,95,113,122,129,133,156,126,158,96,140,135,94,145,99,122,174,165,168,169,168,169,169,169,15,54,66,71,81,97,114,123,127,146,150,107,148,99,162,136,93,154,107,116,176,167,170,171,170,171,171,170,19,58,67,72,80,99,115,124,127,164,132,102,141,105,170,124,99,177,114,117,176,168,171,172,171,172,172,172,24,61,67,74,83,102,117,125,132,175,112,119,147,104,149,100,99,169,103,122,177,170,173,174,173,174,174,174,29,64,68,75,85,103,119,124,142,176,96,118,128,90,138,87,115,163,95,125,178,171,175,174,175,176,175,176,35,66,68,77,85,104,119,121,154,174,92,104,135,129,127,148,153,153,94,128,179,173,176,176,176,177,177,177,40,67,70,78,87,107,120,122,169,157,103,109,159,146,125,150,141,141,90,126,183,174,177,178,177,177,177,177,46,68,71,78,89,109,120,125,180,167,149,143,169,162,150,134,124,117,84,125,184,174,177,178,179,179,179,179,50,68,70,78,90,111,117,139,191,151,143,146,137,137,170,166,146,122,81,123,184,175,178,180,181,181,181,181,56,68,73,80,91,113,114,161,183,131,112,108,84,106,166,164,158,140,89,117,186,175,179,180,181,182,182,181,60,68,74,81,94,116,115,173,175,131,127,134,124,166,176,165,143,126,87,90,184,179,181,182,182,182,183,182,63,68,74,81,96,117,117,172,181,145,132,137,170,200,181,159,131,99,83,68,166,185,182,183,183,183,184,183,65,68,74,81,97,116,117,166,191,160,142,136,171,203,182,149,124,89,74,66,162,187,182,184,185,184,184,184,67,69,76,82,98,115,119,156,193,160,146,138,162,196,174,144,114,90,67,83,182,183,184,185,185,185,186,186,67,69,78,84,101,117,123,146,186,158,152,141,148,182,167,140,107,89,62,129,192,183,186,186,187,187,188,188,68,70,78,84,101,117,126,138,176,163,160,151,164,175,149,122,97,81,72,168,187,187,187,187,189,189,189,188,67,70,77,85,103,117,126,134,162,164,157,145,154,161,132,108,94,72,92,187,185,188,188,188,189,190,190,190,67,70,77,83,103,116,127,134,148,161,152,144,131,134,122,103,95,66,109,191,185,188,189,191,191,190,190,190,67,70,76,82,102,114,125,134,139,159,154,141,133,132,131,115,94,63,135,190,182,186,188,189,190,190,190,189,67,69,74,82,102,113,124,131,158,165,156,154,144,133,125,113,87,61,148,190,182,186,188,189,190,190,190,190,67,68,74,82,102,113,124,133,181,176,134,155,145,129,107,97,85,56,132,191,181,187,188,190,190,190,190,190
12,210,211,211,210,210,212,212,211,211,208,206,207,206,205,205,205,203,203,202,199,199,196,195,195,195,195,192,191,213,214,212,213,212,213,214,213,212,211,209,209,208,208,207,206,205,204,204,203,203,201,198,198,197,197,195,193,216,216,215,215,216,216,216,216,216,214,213,213,210,210,209,207,209,208,207,205,205,203,203,201,199,198,197,196,219,219,218,218,219,220,218,219,220,218,216,216,214,214,213,216,211,210,211,214,209,204,205,203,202,200,198,198,221,221,220,221,221,221,221,221,221,220,219,219,217,203,171,183,217,212,200,186,197,213,206,204,205,204,202,201,225,223,221,222,225,224,223,223,223,221,221,221,221,205,177,126,187,213,187,156,124,191,217,209,208,206,205,204,228,227,224,225,227,227,226,223,225,224,223,221,231,224,195,158,124,178,206,171,119,131,218,196,209,211,207,206,228,228,227,227,227,227,228,227,227,227,223,228,234,237,209,181,123,122,217,179,140,104,138,156,141,197,213,207,229,229,229,229,230,230,231,230,229,229,231,230,214,226,218,178,147,102,197,187,155,97,92,149,116,130,221,210,231,231,232,230,230,230,231,232,230,218,209,222,210,217,211,172,134,84,181,186,155,96,85,139,113,85,209,215,232,232,232,231,231,232,233,230,228,200,159,172,203,196,205,158,116,90,195,177,145,89,82,131,107,78,206,218,234,233,234,233,235,236,233,224,230,208,187,163,160,150,208,169,127,105,204,165,137,86,96,142,109,97,224,216,236,235,236,235,238,237,234,230,230,224,209,195,138,112,208,206,145,115,204,169,129,90,135,156,98,140,232,217,237,238,239,237,239,236,238,221,197,220,221,201,166,124,203,204,141,120,220,194,131,122,165,144,88,185,228,219,240,239,240,238,240,235,240,223,166,175,220,205,175,116,145,178,117,144,234,188,123,154,193,146,97,212,225,221,241,241,243,242,241,238,245,243,203,122,154,199,149,102,79,98,71,103,193,166,114,186,207,139,147,230,222,224,242,242,244,245,242,242,234,214,180,132,102,179,130,104,86,89,76,100,138,107,112,236,202,123,150,239,224,226,244,243,244,246,243,237,240,227,204,169,111,144,146,124,111,108,108,172,202,178,174,185,154,95,97,237,226,226,245,244,245,245,244,234,247,240,213,165,124,126,156,149,116,116,185,211,214,194,200,173,103,78,103,235,227,227,247,246,246,246,246,233,246,248,220,177,156,134,146,157,137,190,241,231,226,188,185,176,125,78,149,244,227,229,246,246,246,247,247,234,243,248,223,194,166,150,148,174,220,241,249,240,224,185,172,160,116,79,204,239,229,228,248,248,248,249,249,236,237,242,223,199,167,157,154,192,247,244,244,232,208,176,158,141,102,97,238,234,232,229,250,251,251,250,251,237,230,233,225,200,167,166,158,206,250,242,237,219,192,171,149,130,82,146,249,232,234,233,251,252,252,250,254,238,228,234,223,198,171,171,165,222,244,242,229,202,182,166,140,112,88,222,242,235,235,234,252,253,252,251,254,243,227,230,228,208,181,167,165,228,236,236,219,192,172,153,132,84,136,252,236,238,236,235,253,253,252,253,255,250,229,229,228,218,190,164,162,220,227,223,204,181,158,137,116,75,207,247,239,239,238,237,255,254,252,253,255,253,230,229,226,211,183,165,160,202,215,204,186,160,139,121,81,120,251,240,244,241,239,238,254,253,253,255,255,252,231,228,222,204,177,165,163,189,203,192,172,148,122,102,76,213,250,241,243,242,240,239
11,114,119,125,132,137,140,145,148,151,153,154,159,170,145,160,158,158,159,158,158,158,157,156,157,137,161,172,177,118,124,131,138,141,145,150,153,157,159,158,165,187,110,157,164,161,160,160,159,158,157,157,153,153,177,178,183,122,127,136,144,148,152,157,160,162,165,164,170,209,105,139,173,164,164,164,163,162,161,159,155,175,124,174,186,126,132,142,149,154,157,162,166,169,172,171,179,213,101,126,181,170,170,168,168,168,166,164,161,163,168,189,184,130,137,147,155,160,163,169,174,176,179,177,186,206,96,129,187,175,176,175,174,173,172,170,167,165,171,144,177,133,140,152,161,166,170,175,180,182,185,183,197,212,99,137,194,181,183,182,181,180,177,174,171,171,162,144,182,137,145,157,165,171,176,181,185,188,193,186,218,204,82,152,199,189,189,189,187,185,182,180,178,176,173,171,187,140,149,163,171,176,181,186,191,194,198,193,235,203,80,172,203,195,194,195,193,191,189,186,183,181,177,175,196,144,153,167,175,181,185,192,196,199,200,203,211,136,86,180,207,200,199,198,199,197,195,193,189,187,184,179,199,148,158,170,179,186,192,196,200,204,200,237,206,100,80,186,211,204,204,204,204,202,200,198,195,191,188,185,201,151,160,175,183,189,194,200,202,210,210,147,167,136,90,196,214,208,208,208,207,206,204,201,200,195,194,188,199,154,165,178,187,192,198,202,212,251,206,93,91,153,100,187,220,212,211,212,210,209,207,205,201,206,174,101,211,156,167,181,190,195,199,212,170,170,183,134,88,141,104,163,226,213,215,215,214,212,212,212,207,215,120,55,128,159,170,184,192,196,217,233,159,90,117,167,101,108,110,131,228,216,219,219,218,212,200,186,183,175,79,67,57,160,173,186,193,221,226,194,188,153,91,134,112,88,125,98,217,223,222,216,207,208,187,165,163,137,80,67,66,162,176,186,222,227,160,115,159,183,109,87,101,77,152,123,185,230,214,214,213,212,182,153,132,106,69,60,62,164,177,190,232,202,140,102,82,167,114,79,105,62,142,161,107,178,218,225,203,164,128,85,54,53,53,51,60,165,179,190,221,178,117,88,59,135,126,83,120,67,99,150,115,180,213,193,140,95,69,44,47,48,46,52,47,166,181,188,211,174,123,98,76,97,132,94,134,97,152,163,140,172,166,119,66,45,62,57,38,43,46,56,23,165,180,187,215,194,142,110,89,86,107,122,151,144,199,161,120,133,94,43,54,42,45,60,50,32,36,36,33,166,182,190,218,200,153,128,98,98,110,171,215,217,187,139,115,85,52,36,41,53,38,45,54,42,33,32,34,168,183,192,218,206,170,138,105,115,119,198,224,200,165,122,95,28,36,55,30,47,50,36,41,49,34,31,32,160,173,183,210,205,178,143,118,125,124,191,209,175,137,110,81,28,18,53,46,32,48,44,34,39,42,25,32,114,117,111,159,204,185,150,135,130,127,169,195,165,126,98,58,47,11,38,53,40,37,45,36,29,41,29,23,115,115,112,127,193,188,158,146,133,120,157,176,153,115,63,28,58,17,21,49,46,40,37,37,27,31,35,20,116,117,118,120,191,186,163,151,133,108,138,141,119,81,30,20,55,34,7,39,50,39,37,35,29,26,28,29,116,118,119,119,192,195,168,149,130,111,118,118,82,27,32,26,44,50,11,21,49,42,34,36,33,27,23,24,116,117,120,109,178,195,152,134,123,113,115,103,63,24,9,31,35,55,28,9,37,44,32,33,33,26,25,20
4,117,124,133,139,141,143,146,148,151,152,154,155,157,159,160,162,163,165,166,168,169,170,171,172,172,173,175,175,119,125,133,139,140,144,148,150,151,153,155,157,157,157,159,162,166,165,167,169,169,171,171,172,172,173,174,175,120,127,134,139,142,146,148,150,153,153,152,154,161,169,154,148,152,168,166,170,172,171,172,173,173,173,173,174,121,128,136,139,143,147,149,151,152,163,165,149,146,173,182,159,126,132,154,137,159,173,171,174,174,175,174,174,123,129,138,141,144,147,150,150,150,181,191,177,148,124,178,158,126,100,151,118,119,178,171,175,175,176,176,176,123,130,138,142,146,148,149,166,169,157,139,178,154,111,145,150,116,97,138,123,114,176,173,175,175,176,176,177,125,132,139,142,146,145,162,199,182,152,113,154,149,108,121,162,128,97,149,139,109,171,175,176,176,177,177,177,125,133,140,143,146,144,174,180,180,149,112,132,164,114,98,167,141,87,161,145,99,169,177,176,177,178,177,178,125,135,141,143,147,144,178,178,161,167,140,107,170,135,69,136,168,115,128,133,143,134,163,179,177,178,179,179,127,135,140,144,149,145,178,178,145,156,142,85,122,128,83,121,173,146,126,132,144,126,138,182,177,180,180,180,129,136,142,144,149,145,179,184,167,146,122,107,98,120,115,129,149,150,146,136,129,147,128,172,181,179,180,180,130,138,143,146,150,148,191,184,159,144,132,113,115,136,122,139,151,148,139,135,152,165,129,153,186,180,182,182,131,139,144,147,150,153,198,182,153,136,123,110,120,133,136,147,161,142,115,152,179,167,145,136,186,182,182,182,132,140,144,147,149,158,201,178,154,138,125,117,125,132,150,152,163,174,174,157,159,169,152,124,176,185,181,182,133,140,144,148,148,164,207,181,157,138,131,120,127,139,157,162,171,184,182,174,167,151,141,111,157,189,183,184,135,140,145,149,148,162,210,183,161,146,129,120,128,141,162,171,182,187,182,174,166,147,128,104,152,192,184,186,137,141,145,149,149,161,212,188,170,152,130,126,129,142,168,181,187,188,181,174,159,145,126,103,169,189,185,186,137,142,144,149,150,163,215,189,174,157,141,136,135,145,176,190,192,187,176,167,156,140,117,116,189,184,186,186,137,142,144,149,150,162,209,190,179,164,154,138,142,158,181,198,194,186,175,161,148,132,102,145,194,184,187,187,138,142,145,150,153,156,199,195,185,172,165,151,146,171,177,194,192,183,174,157,141,118,104,178,189,186,187,187,138,142,146,150,153,152,189,198,189,178,170,162,150,165,173,188,188,180,170,154,139,108,130,194,185,187,187,188,138,142,146,151,154,153,177,205,192,184,173,162,153,161,171,187,184,172,167,153,137,108,167,191,187,187,188,188,139,142,146,151,154,155,169,213,194,183,171,158,156,160,172,181,175,164,155,151,128,128,192,187,188,187,188,188,140,142,146,151,155,156,167,218,189,177,170,163,161,164,170,172,161,154,144,136,121,175,189,188,188,188,188,188,139,142,146,151,156,156,169,211,181,178,176,173,169,165,166,168,158,148,139,112,160,190,187,188,188,188,188,188,140,143,147,151,155,154,172,206,182,183,181,177,177,168,163,163,154,143,121,122,191,184,187,187,189,189,189,189,139,143,147,151,156,155,173,208,196,185,177,180,183,169,156,154,148,136,104,150,191,184,187,188,189,189,189,189,139,143,148,152,156,156,174,205,201,184,179,186,184,164,153,148,147,127,102,172,190,185,188,189,189,189,190,190
3,115,126,134,136,142,149,151,155,159,162,165,167,169,170,172,171,175,165,172,173,173,174,174,174,173,173,174,174,116,128,135,137,144,151,153,157,160,163,168,170,171,172,174,173,198,140,150,177,175,175,175,174,173,173,174,174,118,130,136,138,147,154,157,161,163,166,170,173,175,176,177,176,210,147,117,181,180,178,178,175,175,174,174,174,121,131,136,141,148,156,160,164,167,170,173,177,180,181,182,179,217,155,101,188,171,179,180,179,179,177,177,175,124,134,139,144,152,159,163,167,171,175,179,180,183,186,187,195,197,143,101,206,150,157,187,183,182,181,181,180,128,138,143,146,155,163,165,170,174,180,181,187,194,173,203,232,203,187,144,190,168,118,191,187,186,185,185,185,131,140,145,152,160,166,170,174,175,174,203,230,225,173,129,153,201,214,178,125,166,112,151,196,191,189,189,188,135,144,150,156,164,169,173,203,200,172,201,184,198,205,178,78,114,159,111,93,145,141,112,162,198,194,194,192,139,148,152,159,168,172,198,202,179,183,155,106,99,186,195,107,113,115,88,150,159,154,122,124,203,199,198,196,142,151,155,163,172,179,214,152,98,152,99,87,66,83,115,84,95,74,71,182,194,191,136,124,206,202,202,201,144,153,158,165,175,185,220,168,107,162,133,122,94,103,91,70,75,75,75,186,222,207,145,128,210,205,205,205,148,155,160,169,179,184,224,185,138,172,189,166,137,122,109,103,93,88,82,169,224,209,144,133,214,207,208,208,151,158,163,172,183,186,223,208,180,162,161,130,129,138,136,143,118,130,125,162,222,201,134,131,216,211,212,211,154,161,165,175,185,191,229,211,168,147,142,129,136,145,163,160,171,190,213,211,199,170,122,127,220,215,215,214,157,164,168,178,188,193,231,211,163,135,131,138,144,160,179,189,213,220,228,213,172,131,116,123,222,218,217,217,159,167,172,181,191,195,230,224,184,147,132,149,151,169,201,209,221,228,224,196,151,114,102,141,227,222,222,221,163,169,174,184,193,197,226,239,202,167,138,136,152,183,212,218,230,235,220,182,136,107,89,200,228,225,224,223,165,170,176,186,196,200,220,245,219,190,158,136,152,180,210,226,240,234,205,163,129,90,135,234,228,228,227,225,166,172,179,189,198,204,215,247,233,204,175,155,156,170,203,231,239,226,190,147,115,85,199,233,228,229,229,228,170,173,182,192,200,208,213,243,241,220,188,176,171,167,198,229,230,211,172,132,97,111,233,231,230,231,233,234,172,176,185,194,203,210,212,228,238,233,207,191,181,165,207,216,219,189,149,116,81,172,239,233,237,239,223,188,175,180,187,196,206,212,215,215,231,235,219,202,187,164,197,207,197,163,126,96,96,231,242,232,203,145,89,59,177,181,190,199,208,215,218,213,220,228,221,208,188,164,163,193,173,142,111,82,173,235,169,106,68,52,48,43,180,183,192,202,210,216,219,220,213,228,221,208,189,164,148,171,165,131,102,107,196,108,57,46,46,42,44,37,183,186,194,203,211,218,220,224,213,231,217,199,183,157,144,155,150,122,95,106,93,58,60,37,34,53,39,32,184,188,196,205,212,218,221,224,218,229,200,180,176,156,147,144,134,122,92,57,41,50,70,39,19,44,50,28,181,187,195,206,213,217,222,225,212,231,213,193,193,174,152,143,126,122,83,55,41,27,60,53,16,27,53,42,183,188,197,207,214,219,222,228,207,229,229,211,213,180,157,143,123,119,76,52,50,20,37,60,28,16,39,51
6,179,182,185,187,190,192,194,196,198,199,201,201,202,204,205,205,206,205,206,206,206,207,207,206,205,206,204,204,180,183,186,188,191,192,195,197,199,200,201,202,203,204,205,206,206,206,207,207,207,207,207,207,206,207,206,205,180,182,185,188,191,193,195,197,198,200,202,202,203,204,205,207,206,207,207,208,207,207,207,207,207,207,206,205,181,183,186,189,192,195,198,198,199,200,202,204,205,206,206,207,207,207,208,208,208,209,209,208,207,206,207,207,181,185,188,190,193,195,197,199,200,201,202,204,205,207,206,207,209,210,210,210,210,209,209,209,209,208,208,208,182,184,188,191,194,196,197,200,201,201,202,205,207,207,206,207,210,209,211,211,210,211,212,211,211,209,208,208,183,186,188,192,193,195,198,199,201,200,202,201,203,205,203,204,204,208,207,203,203,194,192,201,207,210,210,209,183,187,190,190,195,206,209,200,201,207,210,212,215,218,207,210,210,222,219,209,205,191,179,196,198,185,212,209,182,183,185,202,218,223,217,199,186,193,212,217,218,216,206,203,211,208,205,204,196,186,179,186,180,173,213,209,179,190,211,225,222,220,215,205,172,152,169,175,177,179,180,178,173,169,173,172,170,170,176,182,185,205,212,210,205,225,224,216,216,222,225,207,172,140,132,127,129,147,156,165,183,199,203,205,207,209,211,212,213,212,210,210,226,220,216,219,223,222,207,175,161,145,138,139,131,139,192,216,214,212,212,213,213,213,212,211,211,210,211,211,223,220,221,219,219,211,198,179,155,142,137,145,148,140,144,167,212,214,212,213,212,212,213,212,212,212,211,211,223,223,221,219,220,219,225,203,156,143,131,132,147,150,149,125,151,214,213,213,214,213,213,213,212,213,212,211,219,220,219,218,219,227,224,189,156,146,148,144,138,139,149,147,121,161,219,212,214,213,212,212,212,212,211,210,217,218,216,214,222,228,202,173,158,152,150,152,150,131,129,134,136,138,214,214,214,213,213,212,212,213,212,211,211,211,209,210,216,217,198,172,150,143,150,157,164,147,136,128,125,162,214,211,211,210,209,209,209,209,209,209,212,212,211,209,213,215,207,176,148,129,128,139,168,165,150,137,131,150,159,156,155,155,153,154,153,152,150,150,214,215,216,215,220,219,205,167,147,149,146,142,135,144,151,146,144,134,130,132,133,133,132,130,129,129,128,127,213,212,210,209,218,211,194,165,152,156,154,150,144,137,133,139,141,138,139,139,139,139,138,137,136,137,136,135,206,200,195,200,206,196,184,168,159,158,158,149,142,137,139,143,143,142,140,138,137,137,137,138,137,136,135,134,194,190,185,193,193,181,168,160,152,147,153,151,149,146,143,144,143,143,140,140,139,137,137,138,137,137,137,136,181,179,173,170,166,156,147,142,139,132,135,140,144,145,142,140,141,140,139,138,137,137,137,137,137,136,136,136,163,156,147,143,142,143,144,143,143,143,142,141,143,142,142,142,141,141,140,140,138,138,138,137,137,136,136,132,137,140,142,142,143,144,144,145,144,144,144,143,144,143,142,142,140,140,140,140,138,137,138,137,137,136,130,148,140,144,144,144,144,143,143,143,143,143,143,142,142,142,141,140,139,139,139,139,138,137,138,137,139,130,139,212,144,144,144,145,145,144,144,143,143,143,143,142,142,142,142,140,140,139,139,139,139,139,138,140,139,129,200,215,144,144,144,144,143,143,143,142,142,142,142,143,142,142,142,141,140,139,139,140,138,138,138,143,131,179,223,194
7,119,128,142,166,177,185,191,194,195,199,201,203,204,204,206,207,207,207,206,204,203,203,202,200,198,197,194,192,119,129,144,168,179,187,192,195,197,201,203,205,206,207,209,209,209,209,208,207,206,205,204,202,200,199,196,195,120,131,146,169,180,188,193,196,199,201,204,207,208,209,210,210,211,211,210,209,209,207,206,204,202,201,199,197,122,132,147,170,180,189,194,197,200,203,206,208,209,211,211,213,213,213,212,210,210,208,207,206,204,204,202,199,123,133,148,171,181,190,195,199,201,205,208,209,210,211,212,214,214,214,213,211,211,210,209,208,207,205,203,201,124,133,150,172,182,190,197,200,202,205,209,210,211,212,213,214,217,217,217,218,217,215,214,210,208,206,204,202,125,134,150,173,183,192,197,199,201,206,210,213,215,217,216,216,213,211,206,195,195,196,206,213,209,208,207,205,126,135,151,173,183,192,199,204,205,205,205,204,195,189,180,160,161,164,157,148,188,192,167,218,211,209,209,206,127,135,153,175,184,192,197,185,175,170,173,172,158,151,146,131,143,134,136,139,150,145,159,207,214,211,208,207,128,136,154,174,182,199,188,151,153,160,159,157,151,142,142,141,136,143,143,139,132,126,140,160,175,215,209,208,128,137,153,176,196,199,175,141,130,130,136,146,156,161,163,146,127,152,148,133,128,118,128,144,139,213,211,209,130,133,162,196,195,183,174,162,155,158,170,170,165,159,151,127,117,123,117,109,112,114,120,137,181,218,210,210,122,154,198,195,186,187,173,156,151,155,161,151,146,139,119,111,127,150,170,186,201,208,215,219,221,216,213,210,155,205,199,192,191,178,157,119,120,132,122,108,102,112,173,207,218,230,232,230,227,225,223,220,218,217,214,212,207,204,195,194,174,159,142,110,110,101,85,79,85,89,96,167,234,221,222,222,223,222,222,221,219,217,215,212,198,197,198,181,163,154,146,137,115,97,100,102,100,96,77,113,233,223,225,225,225,224,224,222,220,217,217,214,196,198,183,161,153,149,160,165,126,99,103,102,100,98,91,95,216,230,225,225,225,224,224,223,221,217,216,214,195,179,156,146,145,142,146,138,104,90,81,85,94,97,85,85,206,231,225,226,225,225,224,223,221,219,216,215,173,155,149,148,145,132,123,112,100,87,86,104,110,98,97,204,229,227,227,227,225,224,223,223,221,219,217,215,153,152,146,139,128,116,110,120,120,104,100,97,93,97,176,232,223,225,225,224,223,223,222,220,219,217,216,213,152,143,129,124,120,118,124,135,121,92,101,137,172,210,228,222,225,225,224,223,223,223,222,221,218,217,214,211,144,137,131,131,127,119,114,107,94,128,197,224,226,225,222,223,223,224,223,223,223,222,221,221,218,216,213,208,113,112,117,114,107,104,105,133,176,212,218,214,216,220,222,223,223,223,224,224,224,223,222,221,218,217,214,215,87,83,55,86,172,172,193,210,215,210,214,218,220,221,222,224,224,222,223,221,220,218,216,213,213,214,210,166,88,82,29,89,186,167,167,161,160,160,160,158,157,157,158,157,153,150,150,148,145,142,138,140,126,105,89,56,79,54,28,92,133,125,127,127,128,129,128,128,129,128,129,127,127,127,125,124,123,122,123,108,66,45,41,37,29,25,37,110,141,136,135,135,135,135,134,135,135,135,135,134,134,135,134,131,130,121,86,54,44,43,39,31,39,58,65,98,138,134,134,134,135,135,135,134,135,134,134,133,131,129,129,129,106,70,39,40,38,35,35,31
18,139,140,142,142,142,143,144,144,143,143,143,143,141,140,140,139,138,138,137,136,134,133,133,131,128,128,127,125,140,142,142,142,144,146,146,146,146,147,146,144,142,141,140,140,140,140,139,137,136,135,133,132,130,129,128,127,141,142,143,144,145,147,147,147,148,147,148,147,146,147,149,145,143,145,146,146,137,137,137,135,131,129,128,126,143,144,145,146,148,149,148,149,150,149,149,148,150,135,107,135,150,118,87,107,146,140,126,136,137,131,130,129,143,145,148,148,149,149,151,152,151,151,153,154,153,114,62,53,111,104,62,24,105,109,68,59,120,137,132,133,145,146,149,150,150,151,153,152,153,146,111,114,148,121,86,49,58,141,72,48,27,75,69,25,46,144,133,133,146,148,149,152,151,152,154,152,157,146,99,77,82,135,95,63,41,127,82,62,54,49,62,46,9,117,140,131,150,151,151,153,154,154,154,155,159,153,128,109,67,89,118,67,36,75,98,78,71,61,81,63,6,108,143,134,150,151,152,153,154,156,158,157,157,136,145,109,89,45,98,78,46,43,102,90,76,75,73,55,6,114,144,137,151,151,152,153,155,157,158,158,167,109,106,111,75,16,67,87,45,25,84,75,71,70,71,57,5,100,149,137,151,151,153,155,156,158,158,162,157,84,52,112,44,4,46,59,22,9,63,33,51,106,98,65,13,80,153,138,151,153,155,156,158,159,158,164,152,109,72,98,45,9,34,35,12,0,35,12,25,131,106,75,23,58,155,139,153,155,156,157,158,159,158,165,160,135,91,81,66,20,31,47,18,0,34,15,0,101,116,86,39,32,151,141,155,156,157,158,159,160,159,166,160,122,86,57,43,6,33,57,14,0,24,63,109,108,136,101,51,12,135,146,155,156,158,160,160,161,160,167,143,100,75,52,27,10,13,20,6,14,57,126,135,119,113,98,50,4,120,151,157,157,159,160,160,163,162,165,156,128,99,70,41,37,30,28,54,88,127,140,129,123,93,72,38,3,128,149,157,157,159,160,161,164,163,165,162,138,107,71,42,36,45,65,95,123,148,147,123,104,82,50,16,27,152,146,158,158,159,161,163,165,165,166,164,144,115,82,58,49,49,63,117,141,154,141,111,92,71,42,0,77,160,144,159,160,161,162,164,165,166,166,162,148,121,94,70,61,53,76,139,149,148,131,103,81,63,29,0,132,154,147,159,162,162,162,165,165,167,164,156,144,120,95,79,69,61,87,148,141,135,121,98,72,55,11,33,160,149,149,159,162,163,164,165,165,167,165,148,134,122,100,84,83,68,94,142,137,124,103,89,66,44,0,82,165,149,150,160,163,164,165,165,167,167,168,150,136,126,106,93,95,74,102,133,132,118,90,75,55,29,0,134,156,150,150,162,163,164,167,168,169,169,172,160,133,125,115,102,92,70,96,128,120,109,84,59,43,2,42,166,150,152,152,162,164,165,167,168,168,170,172,167,142,132,122,107,89,69,79,115,108,92,69,45,28,0,120,163,154,153,152,163,165,167,168,168,169,170,171,171,156,138,124,112,99,82,76,97,97,79,56,38,0,37,169,155,156,154,153,163,164,167,169,168,171,170,170,170,165,149,128,109,95,86,78,88,90,70,49,24,0,122,166,157,156,155,153,165,165,167,168,169,171,170,170,169,167,153,124,109,104,101,95,84,82,63,43,2,45,170,156,158,157,156,154,166,167,168,169,169,170,171,172,167,166,152,129,123,120,105,94,77,76,54,31,0,112,170,159,158,158,156,155
2,136,137,138,139,142,144,144,144,144,144,143,144,143,143,142,138,138,140,138,139,138,138,137,136,136,135,133,132,138,139,140,142,143,144,144,145,145,145,144,145,144,141,144,157,166,159,142,135,136,139,139,138,137,137,136,134,138,139,141,144,144,144,145,146,146,146,147,143,146,161,181,184,172,163,163,122,102,99,121,139,137,137,137,135,140,141,142,144,145,146,146,146,147,148,144,154,191,180,180,180,157,130,120,95,72,73,67,124,142,138,137,137,141,143,144,144,146,147,149,148,148,150,141,183,189,175,181,148,109,85,80,73,71,73,58,108,145,137,138,138,142,143,145,146,147,148,149,150,149,147,150,199,188,177,136,97,67,60,65,64,73,74,92,134,142,140,140,139,143,144,145,147,149,150,150,151,151,145,165,206,185,128,83,68,57,68,71,103,134,133,143,145,143,141,140,140,144,145,146,149,150,150,152,152,154,145,174,203,163,96,61,66,65,71,118,149,148,147,145,144,143,143,142,141,145,146,148,150,149,151,152,153,154,148,195,191,129,72,53,60,62,76,152,146,145,145,145,144,143,143,143,142,146,148,149,150,152,153,153,155,149,168,204,150,87,53,52,48,60,80,149,148,148,147,146,145,145,144,143,142,146,148,149,151,153,154,154,154,155,201,182,118,74,62,65,58,50,96,156,148,149,148,147,146,146,145,143,143,146,149,150,152,154,154,157,150,189,209,161,112,84,76,73,70,57,111,158,148,150,149,147,147,147,146,144,144,148,150,151,153,156,156,156,158,216,199,147,103,80,83,75,74,65,117,158,149,150,150,148,147,148,148,144,143,150,152,152,155,156,157,153,174,221,183,129,92,82,82,73,77,70,121,160,150,152,151,150,149,148,150,149,146,151,152,153,156,157,160,152,193,217,170,118,86,79,76,73,77,71,127,160,152,153,152,152,152,151,142,132,140,152,153,154,157,158,159,157,215,207,159,113,84,75,76,76,78,66,125,162,153,154,152,154,150,135,134,102,105,152,154,156,158,161,154,180,225,191,150,107,81,72,73,72,72,61,100,165,155,155,155,152,132,139,122,89,139,154,156,158,159,162,156,209,216,181,143,104,78,70,68,68,74,67,71,157,158,156,158,127,129,137,87,120,155,155,157,159,162,157,174,224,204,172,136,99,76,68,64,70,77,77,62,116,169,156,123,117,135,104,87,151,150,156,158,159,163,157,194,220,194,162,130,97,74,66,67,72,75,79,74,70,106,116,114,127,119,86,105,157,150,157,158,160,163,160,209,211,185,160,128,94,75,65,73,74,70,74,76,72,74,107,133,124,99,95,141,155,151,158,159,162,161,171,214,201,181,160,123,96,79,70,80,79,77,82,83,80,94,124,131,112,100,145,157,153,152,159,160,163,159,191,213,197,187,163,128,106,84,74,88,91,95,93,93,87,97,125,109,103,148,161,157,154,152,159,161,163,163,211,213,200,187,166,135,111,89,80,95,102,106,95,91,90,96,99,108,154,160,157,158,155,153,160,163,161,173,216,209,198,184,153,123,109,93,85,97,105,106,97,92,86,88,107,156,164,160,159,157,157,155,160,165,156,190,211,203,193,167,132,107,98,93,92,101,102,99,96,83,107,146,161,163,160,159,159,159,156,153,162,160,176,212,199,188,169,137,108,102,98,91,93,96,95,93,85,115,164,167,162,162,161,159,159,159,156,153,160,167,215,200,183,172,151,112,104,104,99,95,93,89,89,95,132,168,167,163,163,163,161,160,160,159,157,155
13,85,94,100,102,105,110,116,120,123,125,126,129,133,135,136,138,141,142,143,144,144,145,146,144,144,144,145,146,86,94,102,104,107,112,118,121,123,125,128,131,133,136,138,140,142,143,144,145,146,145,146,146,146,146,146,147,89,98,104,105,109,114,120,123,125,128,130,132,135,137,140,142,144,142,142,143,146,151,149,148,148,149,148,148,91,100,105,107,110,116,120,124,127,129,132,134,137,138,142,143,144,155,161,148,108,127,150,149,154,149,150,150,92,100,106,108,112,117,122,126,129,131,134,136,139,141,143,147,146,164,177,147,96,63,91,107,133,156,150,151,93,101,106,109,114,118,123,128,131,133,135,138,142,140,152,134,110,114,149,152,96,55,78,105,61,135,157,152,95,103,107,110,115,119,124,129,130,134,137,140,140,151,180,148,120,82,113,157,130,61,90,107,52,121,161,152,96,105,109,110,116,121,126,130,132,136,136,146,136,105,156,178,146,100,53,140,145,65,86,116,56,134,160,153,98,105,110,112,117,121,127,130,134,133,143,172,141,89,76,174,165,122,51,66,123,61,99,134,71,149,157,155,99,106,112,114,117,123,128,132,133,140,169,167,158,123,54,121,172,114,66,17,55,37,97,116,91,164,154,157,100,109,113,115,120,126,129,133,133,164,143,137,168,137,68,71,159,101,61,17,37,67,97,90,65,150,161,158,102,111,114,115,122,128,131,131,152,176,142,117,150,123,72,52,139,106,61,21,73,113,107,90,72,102,168,157,104,111,115,118,124,129,133,134,164,158,128,105,138,97,61,32,129,132,64,60,139,133,105,70,76,69,149,163,106,113,116,119,126,132,135,142,173,152,127,88,118,88,57,10,107,131,60,124,157,128,102,76,71,57,138,167,108,115,117,120,129,135,137,145,181,161,139,97,85,92,44,21,100,138,122,158,141,116,95,74,57,66,163,163,111,117,119,123,132,138,139,150,185,166,144,111,71,70,71,114,156,166,169,151,129,103,86,71,43,113,172,161,113,120,120,125,134,140,141,156,189,176,147,114,110,113,120,144,162,161,159,144,118,99,80,59,48,155,167,164,115,122,123,128,137,142,142,159,183,178,157,128,132,119,121,152,155,163,151,133,111,93,74,46,69,173,165,166,118,124,126,132,140,146,146,159,174,180,166,142,139,120,130,163,152,155,139,118,99,82,68,33,123,177,166,168,121,125,128,135,143,149,152,152,171,179,170,151,139,123,131,156,157,137,124,105,91,80,47,83,176,169,170,169,123,128,131,137,144,150,154,152,165,172,167,158,144,133,129,145,152,130,112,95,85,66,67,171,174,171,171,171,125,131,133,139,146,151,155,158,156,173,169,162,158,147,131,138,145,125,98,86,76,56,149,180,172,174,173,172,128,132,135,141,149,154,157,161,149,173,168,162,159,146,127,131,131,116,82,80,58,110,186,173,175,176,173,175,129,134,136,143,151,157,159,163,153,170,153,139,148,140,124,125,121,105,84,69,67,172,178,177,177,175,180,170,130,135,137,145,153,158,161,165,156,172,154,140,155,151,137,117,115,101,92,55,101,183,178,179,179,189,167,72,131,134,138,146,152,157,160,165,154,173,166,150,166,153,140,115,111,99,94,50,121,184,178,182,179,137,62,31,132,135,138,147,153,158,161,165,158,169,176,166,177,157,142,120,110,100,93,48,130,187,180,179,95,33,19,24,132,137,140,148,155,159,162,168,157,157,181,172,174,154,138,123,112,101,90,46,125,188,189,125,41,41,30,6
13,176,178,180,181,183,183,185,187,187,186,186,187,187,188,188,188,189,190,189,189,188,188,189,189,189,189,188,188,177,179,181,183,184,186,187,187,188,188,189,188,189,187,179,178,188,190,190,190,190,190,191,191,191,191,190,189,179,181,183,184,186,187,188,188,189,190,190,190,194,184,153,134,168,191,191,191,192,193,193,193,193,193,192,192,181,183,185,186,188,189,190,190,192,186,173,174,193,186,146,104,141,183,185,190,194,195,195,195,195,195,195,194,182,184,186,187,189,191,192,193,201,188,151,138,173,182,144,99,119,144,139,156,188,196,196,195,195,195,195,195,183,185,187,189,191,192,192,188,196,191,158,130,164,180,137,94,114,140,114,102,164,197,198,197,197,197,197,197,185,186,188,191,192,193,191,167,146,154,160,132,159,179,132,100,145,157,116,86,142,197,200,199,199,200,200,199,187,188,190,192,194,198,196,166,129,115,144,130,153,181,133,116,162,153,112,84,142,198,201,201,201,202,202,201,189,191,193,194,198,197,194,175,137,106,127,128,129,147,115,120,170,153,107,84,154,200,202,202,203,203,203,202,190,193,194,197,199,182,180,176,139,100,108,126,93,69,74,121,173,147,95,90,169,202,203,203,203,204,203,203,191,193,195,201,200,177,163,168,138,95,94,119,87,40,68,134,154,118,79,103,184,205,205,205,204,204,205,204,193,194,198,207,199,171,149,163,135,93,86,110,91,52,82,146,159,129,97,126,196,207,207,206,206,205,206,205,194,195,200,211,199,168,140,153,131,92,83,113,106,93,140,161,157,141,117,119,185,207,208,208,207,206,207,207,195,196,202,212,195,165,136,138,129,99,86,132,135,141,179,172,150,126,106,100,166,208,210,209,208,208,208,208,196,197,203,212,196,172,148,132,125,108,83,136,163,181,187,169,143,113,94,98,170,208,210,210,210,209,209,208,196,198,205,212,198,177,158,135,113,97,95,157,193,201,185,160,134,106,89,109,186,210,211,211,211,210,210,210,197,198,206,212,199,179,163,148,122,110,128,185,205,201,176,148,122,98,89,129,199,212,212,212,212,211,211,211,198,199,204,208,199,182,169,158,134,120,135,186,203,190,160,133,111,92,97,162,210,214,214,213,212,212,212,212,198,199,201,204,200,186,173,162,141,123,137,184,198,177,148,122,101,89,126,195,214,216,215,214,213,213,213,213,198,199,200,203,201,188,173,163,144,127,142,177,185,162,137,113,94,95,162,210,214,215,215,214,214,214,214,213,197,199,200,204,202,187,172,159,142,128,146,167,164,145,125,104,91,114,189,213,214,214,214,214,214,214,214,214,197,199,200,204,200,181,166,150,133,127,147,154,143,131,114,97,95,149,206,214,214,214,214,214,214,214,213,214,198,198,198,205,195,175,161,142,129,132,149,143,132,121,105,94,122,187,212,214,214,214,215,215,215,214,214,214,197,196,198,209,193,176,162,142,136,142,149,137,125,109,96,107,167,208,214,214,214,215,215,215,215,215,215,214,197,195,201,211,195,183,165,145,144,149,142,127,113,96,93,142,199,213,214,214,214,215,215,215,216,215,215,215,197,194,201,203,190,184,168,150,149,146,131,113,99,87,110,181,211,214,214,214,214,215,216,216,216,215,215,215,190,188,198,193,179,172,160,145,144,141,121,101,90,86,142,202,213,214,214,214,215,215,216,216,216,216,215,215,158,172,195,187,169,156,146,137,141,140,113,95,87,90,158,202,208,211,212,214,215,215,217,217,216,217,214,209
17,175,178,179,181,182,183,184,185,187,188,188,189,190,191,191,193,193,192,195,194,194,196,194,194,195,195,195,194,175,178,180,181,183,184,185,186,188,189,188,190,191,192,194,194,194,198,197,198,196,196,195,195,197,196,195,194,176,177,181,183,183,185,186,187,187,190,190,190,191,193,193,196,185,171,179,164,196,197,197,197,197,197,196,195,176,178,180,183,185,186,186,188,189,190,190,191,192,195,194,198,199,151,132,129,190,200,198,198,197,198,197,196,177,179,182,183,185,186,188,190,192,192,192,193,194,196,195,198,212,169,122,123,197,199,199,199,198,198,198,196,177,180,183,184,185,187,189,191,191,192,193,195,198,196,197,197,212,184,131,131,206,199,199,199,198,199,199,197,178,181,183,184,187,189,189,190,190,192,196,188,181,203,198,196,215,191,140,156,208,199,200,200,199,200,200,199,180,182,183,185,188,189,190,192,194,193,197,193,154,168,204,203,214,185,144,172,207,201,202,201,201,201,200,200,181,183,184,185,188,189,191,190,191,187,200,199,176,156,173,199,212,184,142,171,208,201,202,202,201,201,200,199,181,183,184,186,189,189,188,203,195,154,167,205,206,202,163,132,181,182,145,171,209,202,203,202,201,202,201,200,182,184,185,188,190,190,193,205,198,159,173,184,200,211,191,136,138,164,139,169,210,202,203,202,203,203,202,202,183,185,186,188,191,190,201,194,181,180,151,142,135,218,210,162,123,142,129,165,211,203,204,203,203,203,203,202,183,184,187,188,191,189,204,193,146,150,142,118,112,206,223,181,128,127,120,163,212,203,205,204,204,203,203,203,183,185,187,189,192,191,207,191,167,166,150,145,145,190,231,190,142,122,122,156,212,204,205,205,204,204,204,204,183,186,188,189,191,194,213,192,175,167,153,165,171,195,223,193,156,123,119,154,212,204,206,206,205,205,205,204,184,186,188,192,190,201,207,173,163,161,164,171,204,228,199,189,160,121,112,153,213,204,206,206,206,206,204,202,184,186,189,193,189,208,208,178,166,161,168,185,232,224,194,176,154,120,106,155,213,205,207,206,206,206,205,203,184,187,189,191,189,214,210,185,170,161,170,212,229,213,191,170,146,120,107,173,214,205,207,206,206,206,206,205,184,187,189,191,190,218,209,190,179,162,186,228,221,210,184,160,142,117,117,198,210,206,207,207,206,205,206,205,184,187,191,193,191,225,209,195,192,170,194,227,211,206,187,152,137,110,146,215,205,208,208,208,207,206,205,205,185,188,191,194,191,226,214,200,200,182,192,221,206,199,182,149,129,112,186,213,206,207,208,209,207,206,207,207,185,189,191,193,189,221,222,205,198,190,188,211,203,200,177,145,121,128,210,207,206,207,208,208,207,207,207,207,186,189,192,195,191,213,224,203,192,188,191,200,194,204,184,142,117,142,215,207,208,209,209,209,208,209,208,206,187,190,191,194,192,212,217,201,192,184,190,198,191,204,178,143,117,167,217,207,209,209,209,209,209,208,208,207,186,188,191,195,192,215,220,207,193,190,193,199,189,199,165,137,124,199,211,209,209,209,209,209,209,209,208,207,184,188,192,195,194,221,227,206,192,197,200,193,180,189,154,122,153,216,207,209,209,209,209,209,209,209,208,208,186,189,192,194,194,228,221,194,193,200,201,183,169,175,141,119,195,212,208,210,210,210,210,209,210,210,209,208,187,189,192,193,197,229,216,190,194,200,197,176,167,162,128,138,213,207,210,210,210,210,210,210,210,210,208,208
19,84,90,96,101,105,105,108,110,114,116,119,122,123,125,127,128,130,130,132,134,135,136,136,136,136,137,137,137,85,92,97,103,104,106,109,111,116,118,121,124,126,128,128,130,132,133,134,135,137,138,136,138,136,139,139,138,86,93,99,104,106,108,110,113,117,121,122,124,129,130,128,132,133,134,136,136,137,136,144,132,137,139,139,139,88,95,101,105,108,110,111,116,119,119,133,129,107,123,135,132,134,137,136,138,134,152,164,83,125,143,139,140,89,96,102,106,109,110,114,117,121,119,163,137,96,77,129,134,134,136,144,147,156,157,104,73,136,143,141,141,90,97,104,108,110,111,114,120,123,118,153,151,109,97,135,148,138,142,154,153,136,94,72,126,146,143,143,142,91,97,104,110,111,110,121,112,116,123,139,150,142,148,143,140,133,119,131,114,78,89,133,148,142,144,144,144,93,99,105,111,106,144,152,119,111,116,129,135,128,116,110,117,106,87,85,88,119,149,147,144,145,145,145,146,93,100,107,109,116,164,129,121,124,130,138,136,127,116,112,97,96,73,133,146,150,145,146,147,146,147,147,147,93,101,109,105,129,146,110,110,119,133,136,133,132,127,106,72,63,90,157,146,146,148,148,147,147,148,148,148,94,101,109,106,149,148,123,123,128,124,114,112,111,93,82,67,51,113,154,147,149,149,148,148,150,150,149,149,96,102,108,114,180,157,139,136,137,130,128,123,106,62,62,65,56,133,153,149,150,150,149,149,151,151,150,150,98,104,108,120,172,151,133,119,112,122,124,117,93,63,60,66,65,142,150,150,152,152,152,151,151,151,152,151,98,105,109,117,155,146,122,103,83,78,91,91,90,65,64,62,89,154,149,151,153,152,153,153,153,153,153,152,98,106,110,115,148,148,122,78,68,42,43,87,98,69,68,64,87,157,150,152,153,153,154,155,155,155,153,153,100,108,113,113,147,150,122,88,58,33,76,98,91,63,62,61,68,148,154,153,154,154,156,156,156,156,155,155,100,108,115,109,148,148,122,96,76,50,50,53,48,47,56,64,66,144,156,154,155,156,156,156,156,156,156,156,100,109,114,109,154,151,124,101,78,68,59,44,46,54,60,64,69,146,156,154,155,157,156,156,156,156,155,155,102,110,116,106,153,150,123,99,81,74,73,59,52,56,62,61,78,153,154,156,158,159,158,157,158,159,158,157,103,109,116,105,144,143,119,97,79,73,70,60,53,59,66,62,100,161,153,157,158,159,158,158,159,159,158,159,104,109,116,109,142,137,116,92,78,72,70,61,58,63,69,62,133,161,156,158,158,159,160,160,160,160,160,160,105,112,115,118,147,133,112,89,75,71,72,67,65,68,60,90,157,155,157,159,159,160,160,160,160,160,160,160,105,113,113,123,151,131,107,86,74,73,74,70,66,63,99,151,156,156,158,159,159,160,160,160,160,160,160,161,106,114,113,128,144,128,109,91,78,75,74,71,60,93,157,153,155,157,159,160,160,161,161,161,161,161,162,162,106,114,114,135,138,120,106,92,77,68,66,66,61,131,155,153,158,158,159,161,162,161,162,162,163,163,162,162,106,114,117,151,133,117,96,82,72,62,61,60,70,143,154,156,158,159,160,162,162,162,164,164,164,164,164,164,107,111,124,154,136,122,103,91,91,67,60,56,81,151,153,156,157,159,160,161,161,162,164,163,164,163,164,164,107,115,121,143,138,124,108,102,97,67,61,54,83,153,151,154,156,158,160,161,161,161,163,163,163,164,164,164
10,72,78,84,81,65,48,59,25,16,48,47,56,58,73,86,91,96,104,108,114,120,123,124,129,130,132,135,136,80,87,92,84,72,51,71,19,25,49,51,51,81,117,84,94,98,106,110,115,120,123,126,130,131,133,135,136,90,96,103,87,78,53,78,12,32,49,54,45,124,145,68,95,101,109,113,117,121,125,129,131,133,134,136,136,100,107,111,91,84,58,82,7,40,50,55,49,110,153,70,83,110,111,116,120,124,128,133,135,135,136,137,137,109,117,118,94,86,66,82,4,46,50,55,54,87,153,89,68,114,117,122,125,129,134,138,140,141,141,141,142,117,127,123,99,87,76,76,5,53,51,55,60,73,151,120,66,112,125,128,131,137,142,145,147,147,148,148,147,125,136,127,106,86,87,68,10,56,52,57,62,69,142,142,73,100,134,132,138,144,148,151,153,154,154,154,155,131,141,129,112,84,99,58,16,57,53,58,64,73,128,153,84,83,141,138,145,149,154,157,159,160,160,160,161,136,148,128,117,82,110,44,26,58,54,59,65,77,127,171,102,76,145,145,150,155,160,163,166,167,167,167,167,141,152,129,122,82,118,34,31,56,56,59,66,80,130,170,110,76,147,152,156,161,164,167,171,172,173,172,172,146,154,130,126,82,122,18,61,65,55,59,68,84,128,156,110,70,144,157,160,166,170,174,176,178,179,179,179,150,157,131,125,87,112,72,116,58,66,79,69,90,136,137,115,67,138,165,164,171,176,179,181,182,182,182,184,154,156,132,122,91,108,106,109,54,48,50,55,85,145,123,145,62,126,171,168,175,181,183,185,185,185,186,187,157,157,136,118,96,132,78,99,83,55,43,35,40,70,97,119,57,110,176,171,179,184,187,188,188,189,190,190,159,156,140,112,105,105,46,53,101,88,67,35,18,48,74,85,67,87,177,176,182,186,188,190,191,191,192,193,162,153,146,109,115,89,43,95,117,103,66,38,28,35,53,67,65,69,174,180,184,188,192,192,193,194,194,195,164,152,150,103,132,60,72,167,141,99,71,50,41,38,46,54,57,67,175,183,185,190,194,195,196,197,197,198,165,153,150,97,138,46,84,168,136,85,92,72,49,43,42,48,50,70,180,184,189,193,196,197,198,199,200,200,168,153,151,95,145,37,48,182,172,71,62,92,69,55,39,41,47,79,186,185,191,196,198,199,200,200,201,202,167,155,153,96,148,26,53,182,179,64,96,94,91,68,43,42,40,94,190,184,191,196,199,200,201,202,203,203,166,156,154,99,155,19,51,166,125,84,157,116,92,84,51,45,36,102,193,185,192,197,200,202,203,205,206,205,166,160,149,104,151,15,46,149,167,130,163,139,101,88,66,53,40,111,192,185,192,196,200,201,202,205,205,205,168,165,143,112,143,11,48,118,170,145,154,140,126,94,69,58,41,116,192,186,192,195,199,201,202,203,205,205,169,168,136,123,130,0,54,68,157,170,154,151,126,101,76,61,41,110,191,185,191,195,198,201,203,202,204,206,168,170,128,130,128,36,77,60,147,172,150,167,119,100,73,63,47,125,197,193,199,203,207,209,210,212,213,216,159,171,123,130,156,95,89,86,119,170,147,159,118,90,74,69,51,100,134,137,142,146,152,155,158,161,166,164,165,170,120,138,150,81,80,85,84,152,145,133,125,105,93,73,47,74,94,91,91,93,93,93,94,93,94,56,168,166,116,146,146,86,85,89,85,113,122,114,126,131,120,74,40,45,101,99,102,105,104,101,101,106,79,45
20,131,134,137,139,141,142,144,145,146,147,149,149,150,149,149,151,149,149,149,150,148,149,147,145,144,144,144,142,133,136,139,140,143,145,146,147,148,149,149,151,149,162,152,139,152,152,150,150,151,149,149,149,148,146,145,145,135,138,140,142,145,147,148,150,150,150,151,153,148,179,155,106,152,136,153,151,151,151,151,150,150,148,146,146,138,140,143,144,147,149,150,151,152,153,154,156,150,182,155,112,168,106,147,157,153,153,154,151,151,150,149,147,139,143,145,145,148,150,151,152,154,155,156,158,152,182,156,120,182,110,134,162,156,156,155,155,154,152,150,150,140,145,146,147,150,152,153,154,156,157,157,159,154,188,171,123,185,127,127,164,157,158,157,156,155,154,153,152,142,145,147,149,152,154,155,156,158,159,160,162,156,192,163,128,192,139,125,166,160,161,160,158,157,156,155,153,143,146,148,151,154,156,157,159,158,159,159,160,162,192,152,139,192,136,121,167,162,163,162,160,159,158,157,156,144,148,150,152,155,157,158,160,161,160,174,171,160,195,156,141,195,130,120,170,163,163,163,162,160,159,158,157,146,150,152,154,156,159,160,161,159,164,206,203,156,127,139,141,191,130,127,172,163,165,164,163,162,161,160,159,148,151,153,156,157,159,162,161,177,187,171,176,160,105,86,119,168,123,132,174,166,166,165,165,163,163,162,161,149,152,155,157,160,162,161,170,203,204,159,134,163,143,133,106,125,113,132,175,168,168,167,166,165,164,163,162,150,153,155,159,161,164,162,179,181,142,183,154,137,178,173,122,93,94,133,176,168,169,167,167,167,166,165,164,152,155,157,160,162,164,162,180,180,102,102,104,81,152,175,134,95,84,131,177,169,171,169,169,169,168,167,166,153,155,158,161,163,166,163,184,167,137,120,89,86,98,184,166,117,79,130,179,171,173,171,170,171,169,168,167,154,157,160,162,164,167,164,187,194,162,123,102,109,96,174,192,141,81,121,182,172,174,173,172,171,171,169,168,155,158,161,164,166,169,165,192,192,143,112,106,120,123,177,205,161,99,113,182,173,176,174,173,173,172,171,169,156,160,162,165,167,170,166,192,191,148,125,122,130,145,200,202,168,113,112,183,174,176,175,174,174,173,172,171,157,161,164,166,169,171,169,193,200,161,137,134,142,178,207,195,159,118,108,182,175,176,177,175,175,174,173,173,159,162,165,167,169,173,170,192,203,174,142,143,157,197,207,193,153,117,110,182,177,178,177,177,177,176,173,173,159,161,164,167,169,173,170,188,206,182,153,146,168,205,201,184,151,114,104,183,180,179,178,178,178,178,175,174,160,161,164,167,169,173,169,186,207,183,164,158,170,207,194,170,147,108,99,180,180,179,177,177,177,177,175,174,160,162,166,169,171,173,172,179,204,189,175,176,167,199,186,163,144,104,96,181,181,180,179,177,177,176,174,176,160,163,167,169,172,173,175,175,197,196,181,183,163,178,171,149,136,97,99,186,181,181,181,180,177,177,181,168,161,164,167,169,172,174,176,174,191,203,186,173,153,153,155,136,138,87,115,192,181,184,182,179,184,181,159,105,162,165,167,169,172,174,182,186,194,204,181,156,128,132,146,134,131,75,143,193,183,184,183,187,164,114,83,72,163,167,170,173,175,180,154,88,144,204,158,137,117,128,153,127,109,80,186,188,186,186,189,154,94,81,76,69,135,139,144,147,150,157,99,7,94,199,166,140,117,139,157,107,92,48,115,182,176,182,150,87,79,74,67,66
2,160,159,160,159,160,161,160,160,159,158,158,159,159,159,157,157,156,155,154,154,154,154,156,99,63,67,64,66,162,161,162,161,162,162,162,162,161,161,161,162,159,160,161,156,160,160,160,157,158,155,160,123,65,71,60,68,164,164,165,164,164,165,163,164,164,165,164,163,163,167,158,110,115,148,138,162,161,158,162,139,69,58,47,66,166,166,167,168,167,167,168,167,167,164,167,169,169,144,107,86,69,98,82,136,162,159,161,152,82,45,51,73,169,169,169,170,169,169,171,170,168,174,180,172,112,82,72,69,67,76,71,68,140,167,160,167,102,33,42,65,171,171,172,172,171,171,171,171,172,183,173,126,74,66,64,60,57,63,71,61,135,170,162,168,124,105,81,52,173,173,174,175,174,174,173,169,178,189,123,76,61,56,63,59,52,58,58,79,158,169,165,168,148,112,156,140,176,175,175,175,176,175,175,169,189,174,99,68,61,54,57,61,67,92,124,158,171,169,168,175,129,113,183,160,177,178,177,176,176,177,175,177,193,145,90,67,73,64,65,71,135,177,177,174,170,171,169,177,137,139,177,116,178,179,178,179,178,179,176,190,179,127,79,62,70,64,85,152,179,174,173,175,174,173,171,172,164,150,115,113,180,180,180,180,181,178,180,198,171,123,89,74,64,64,136,191,175,177,176,177,176,175,173,173,173,165,119,166,182,181,181,181,183,179,192,202,159,115,88,83,70,66,155,184,178,178,178,178,177,175,175,176,173,169,164,152,183,182,182,183,183,179,204,192,148,103,83,81,74,86,181,182,181,180,179,178,178,177,177,176,177,171,170,175,183,183,183,184,179,183,208,180,143,103,79,75,71,111,190,181,182,181,180,179,180,179,179,178,177,176,169,153,185,184,185,185,175,197,202,169,133,98,80,76,71,116,192,181,183,182,182,182,181,179,179,179,178,177,181,146,187,187,187,182,183,208,190,159,123,91,80,80,66,139,195,181,183,183,183,183,183,183,183,181,183,181,178,178,187,186,188,176,193,209,182,150,114,90,75,71,63,115,193,185,185,184,186,187,183,170,160,152,148,167,182,178,187,188,189,176,205,202,175,141,108,89,69,66,77,72,121,197,192,189,178,160,145,149,145,137,120,94,165,183,187,191,180,189,209,196,166,131,103,87,60,68,79,84,77,136,164,146,138,147,149,146,129,112,121,121,168,184,190,187,178,207,205,189,154,123,98,80,58,82,88,96,100,93,102,125,149,152,134,102,102,153,184,188,185,182,193,182,196,210,200,180,147,119,95,78,66,93,101,107,106,107,114,129,129,111,100,110,173,193,185,184,184,184,182,192,207,200,193,173,140,108,90,79,77,98,109,110,109,102,103,99,101,136,173,189,190,186,187,186,185,184,181,198,202,196,188,162,127,99,89,79,90,107,112,109,100,90,81,121,180,195,193,188,187,188,187,187,187,186,192,196,196,183,165,137,109,93,88,82,96,105,108,97,85,106,153,195,197,191,190,190,191,190,188,187,186,187,190,190,180,162,144,124,102,91,85,88,95,102,99,78,126,193,198,193,193,193,191,191,192,190,189,188,187,187,189,181,161,141,134,111,95,90,91,92,90,86,89,141,198,196,194,194,194,194,194,193,192,191,191,190,189,188,183,173,146,118,109,91,89,94,92,88,86,124,177,202,194,195,196,195,195,195,194,194,194,193,193,191,191,184,178,162,131,102,86,84,90,93,84,120,168,201,201,195,197,197,196,196,196,195,195,195,194,194,193,192,192,166
15,120,133,141,144,148,157,165,171,176,182,186,189,194,197,201,205,208,211,213,215,216,218,218,219,220,221,221,221,122,135,143,146,150,160,168,175,179,184,188,191,195,199,203,207,210,213,215,217,219,219,219,222,221,222,223,222,123,136,145,147,151,161,169,176,181,186,188,192,197,201,205,208,212,215,217,219,220,221,222,222,222,225,224,223,124,137,147,148,153,162,170,176,181,187,190,195,199,201,205,210,213,216,218,220,221,222,223,224,225,227,227,226,126,139,147,149,156,164,173,179,184,190,192,196,200,203,207,211,214,218,220,221,222,224,225,226,227,227,228,228,128,141,149,151,157,165,172,180,187,191,193,197,201,205,210,213,216,219,220,220,222,224,226,227,229,229,228,229,130,143,150,151,159,168,175,182,188,193,196,202,209,214,216,219,223,224,227,229,233,234,228,227,227,227,228,230,132,145,151,152,159,170,177,183,187,190,188,178,170,176,184,191,197,197,187,178,180,204,225,235,237,236,235,232,133,144,151,157,162,168,168,164,164,167,160,149,143,140,143,145,154,164,154,149,132,118,131,150,177,201,224,236,134,146,157,167,163,169,161,141,140,134,120,133,154,154,149,135,153,179,170,169,153,134,125,107,94,96,112,142,137,149,156,137,115,112,94,71,78,77,72,80,95,94,87,88,136,151,152,149,137,136,144,132,114,100,91,97,138,150,154,153,144,126,119,134,155,172,182,176,167,155,140,112,129,130,137,115,118,129,159,141,124,108,100,110,140,149,153,160,171,180,188,196,199,201,206,211,215,226,210,163,151,128,115,95,117,145,173,152,139,122,113,124,140,149,154,159,166,175,181,187,192,196,202,206,210,207,174,183,144,75,87,51,131,188,178,154,152,138,129,129,139,149,152,157,166,175,181,188,193,196,200,205,210,194,176,153,135,45,50,31,155,203,182,151,152,141,130,122,141,149,152,158,166,175,183,188,193,197,202,208,200,191,190,133,74,38,52,20,149,209,177,148,132,123,116,103,142,150,153,159,168,176,184,188,192,196,202,207,205,171,192,165,70,41,49,29,154,192,171,138,108,101,87,83,142,151,155,160,169,177,184,188,193,198,202,207,215,199,185,188,128,65,107,164,170,165,166,123,93,85,74,83,141,151,155,160,169,177,183,189,195,198,204,208,211,220,198,187,169,158,165,155,146,134,106,74,67,59,65,71,142,149,153,160,169,177,184,187,193,199,203,207,211,219,201,171,177,156,111,116,100,76,81,137,129,130,153,180,142,151,153,162,172,178,186,193,200,205,209,212,216,192,150,136,144,125,90,76,59,44,49,200,255,244,248,246,110,116,120,125,130,135,143,147,151,158,165,168,189,175,139,113,90,88,67,47,48,41,46,108,246,230,237,240,95,96,96,99,103,100,99,98,100,100,104,99,132,154,98,70,60,81,96,73,70,100,88,103,139,140,145,151,103,105,107,109,110,112,111,111,114,117,118,117,120,115,83,91,107,118,119,119,116,119,120,115,112,112,111,111,103,103,106,107,109,109,110,111,111,114,114,116,116,112,120,128,124,120,117,118,119,119,118,119,121,122,122,122,104,106,107,108,109,110,110,112,111,112,112,113,116,115,117,120,121,124,119,119,117,117,121,122,121,122,123,124,104,105,109,111,111,112,112,114,114,114,114,115,117,117,116,116,116,120,119,117,117,119,120,121,121,123,123,124,103,104,108,110,111,112,112,113,114,115,115,116,116,118,118,117,116,118,119,120,119,118,119,121,120,120,123,122
4,161,161,161,162,163,163,163,161,164,163,163,165,164,164,164,164,165,165,164,164,166,164,161,161,162,161,161,160,162,163,163,163,163,164,164,164,164,165,165,166,164,165,164,164,166,165,165,165,165,164,165,164,164,164,162,161,164,165,165,165,165,166,165,165,166,165,164,165,165,166,169,166,166,168,170,167,166,165,166,165,164,165,164,162,165,166,166,166,166,166,166,166,167,167,167,168,167,154,146,163,165,149,145,167,170,169,166,165,166,166,166,163,165,167,167,166,167,167,167,166,166,166,158,165,195,171,134,126,176,151,114,115,164,155,168,169,167,167,167,166,166,166,167,168,167,167,170,169,167,179,174,149,153,199,158,113,181,173,128,82,140,117,108,168,170,167,166,166,167,166,167,168,170,170,170,168,173,190,189,162,113,180,171,103,175,180,129,116,171,136,76,110,177,166,168,167,168,170,170,170,170,171,172,168,181,171,183,164,111,156,172,87,155,183,116,119,176,136,86,88,177,170,170,169,168,170,171,171,171,171,171,172,191,148,172,168,97,136,178,106,121,163,99,128,183,156,86,101,181,169,172,169,168,170,171,171,173,172,168,182,177,119,133,175,108,115,179,155,143,144,148,172,188,159,99,117,183,171,173,170,170,171,171,171,173,172,172,186,176,149,125,150,108,91,121,154,155,156,169,172,168,143,123,93,172,174,173,172,170,171,170,172,173,172,183,184,168,152,126,105,78,80,95,93,128,136,142,154,143,128,145,81,138,183,172,173,170,171,171,172,173,173,184,173,146,123,117,101,78,86,106,73,103,108,110,123,111,144,151,98,99,184,172,174,171,172,173,173,174,173,188,177,146,114,95,90,84,97,103,101,132,130,107,75,133,181,158,127,77,159,180,173,171,172,173,173,174,174,195,190,161,125,96,78,84,105,95,130,153,146,120,135,150,177,173,153,89,112,187,173,170,171,172,173,174,176,194,193,167,128,94,83,85,106,118,157,145,153,163,179,177,165,179,146,98,86,182,176,170,171,172,172,171,177,195,194,177,130,95,96,88,94,126,145,153,174,179,172,175,160,148,129,103,77,168,179,170,171,172,173,171,178,196,191,182,131,103,117,102,108,136,149,171,177,175,169,162,152,124,109,92,89,174,177,171,171,172,173,172,181,192,190,171,137,133,122,108,148,167,178,183,179,171,159,148,134,111,89,76,150,180,176,171,171,171,173,172,180,193,189,176,155,145,126,108,164,183,182,187,177,163,149,138,120,100,71,124,183,176,178,171,172,172,173,172,174,195,188,186,168,145,144,116,154,186,183,183,168,147,138,128,109,82,93,177,178,179,177,171,172,172,172,174,167,188,190,192,176,155,147,130,151,185,179,172,157,138,127,112,96,73,153,184,178,178,177,175,175,175,175,177,167,179,188,180,166,158,145,135,149,175,169,159,146,127,116,102,75,107,185,178,179,178,177,153,156,161,161,165,158,175,191,172,157,157,150,138,147,158,158,144,130,116,109,92,77,170,188,184,184,184,183,89,91,91,92,97,86,162,191,169,163,165,156,141,146,155,152,140,118,105,101,77,101,155,152,158,160,156,154,86,86,84,85,88,72,155,193,171,170,166,156,142,147,159,157,139,104,95,87,79,84,85,85,78,80,109,121,88,87,89,89,92,76,156,197,172,170,169,165,144,143,158,154,122,92,86,76,85,87,83,86,120,145,177,192,87,87,88,89,93,75,153,201,174,170,176,178,146,131,155,141,105,87,79,81,99,100,122,157,199,184,146,166
24,158,159,159,159,159,160,160,160,160,159,159,159,158,157,154,153,152,151,149,148,146,145,144,142,139,137,136,133,162,162,162,163,163,163,162,162,162,162,162,162,161,159,158,158,155,154,152,155,152,148,148,146,144,142,138,136,165,166,167,168,167,166,166,165,165,166,167,166,164,162,161,161,160,159,155,121,145,155,151,149,147,144,141,139,168,168,169,168,169,169,168,169,168,169,169,168,167,166,164,163,163,161,163,86,104,164,151,152,149,147,145,142,171,171,170,171,172,174,176,170,170,170,170,170,169,168,167,167,165,165,170,88,96,166,154,155,151,151,148,146,175,175,175,176,179,148,152,179,173,174,174,173,172,171,170,169,167,170,171,84,101,171,159,158,157,154,151,150,177,177,177,178,177,124,79,173,179,178,178,177,176,175,174,173,168,178,167,76,118,173,160,161,159,156,153,154,179,179,178,179,177,137,70,127,191,178,180,180,179,176,176,176,170,185,162,76,135,174,162,162,160,158,156,154,182,181,181,181,186,159,92,89,194,179,181,182,180,178,178,177,180,185,138,67,154,173,166,165,163,162,159,156,184,184,184,183,187,174,115,62,179,186,182,183,187,184,181,172,175,189,114,62,173,171,169,170,166,164,161,159,185,186,185,184,186,183,146,65,138,197,184,185,159,160,184,149,87,125,108,90,186,171,173,171,167,166,164,161,187,187,187,187,187,189,160,85,86,199,187,169,138,114,130,124,84,60,71,123,188,174,175,173,169,168,167,164,190,190,190,191,189,194,166,112,60,176,187,162,156,127,116,104,131,95,26,151,187,177,177,175,172,171,169,165,192,192,192,192,192,194,178,150,83,123,168,157,166,124,128,127,135,90,38,175,184,179,178,177,175,171,170,168,193,194,194,193,192,193,188,170,100,75,117,128,185,129,87,90,120,113,45,156,191,182,180,178,177,174,172,170,194,195,195,195,195,197,197,174,137,119,100,99,163,136,51,23,142,136,58,97,200,181,183,180,179,178,174,170,196,196,196,197,197,198,198,179,184,134,80,54,138,112,47,17,118,158,110,44,164,189,183,182,182,179,176,173,199,199,199,199,199,198,200,185,175,109,79,58,131,98,37,60,174,175,142,45,109,200,181,183,182,179,176,175,200,201,201,201,202,201,203,193,173,144,133,78,126,125,60,148,188,165,120,40,116,199,182,184,182,180,177,176,200,202,203,203,203,204,205,198,177,173,144,88,107,95,125,202,172,147,104,26,146,199,185,186,184,181,179,177,201,202,203,203,203,202,205,200,168,184,156,123,80,101,191,196,167,133,94,36,171,196,186,187,185,184,182,179,201,202,201,202,203,204,205,201,173,169,159,141,90,112,192,182,158,127,77,44,185,191,187,186,184,183,180,178,203,203,203,204,205,206,204,206,173,158,156,153,113,100,181,181,147,112,56,58,198,189,188,185,184,181,178,175,204,204,205,206,206,207,206,210,180,160,161,156,142,96,166,178,136,93,30,99,207,189,189,187,185,180,182,185,204,204,205,205,204,206,206,209,197,168,166,155,155,84,129,154,103,64,12,150,202,188,190,186,186,195,172,128,211,212,214,213,214,217,216,217,214,173,172,157,139,93,93,120,83,38,33,193,196,193,195,200,184,141,60,16,130,134,140,146,149,154,158,162,166,179,169,145,130,117,84,111,89,19,103,203,188,188,170,118,61,18,10,10,76,77,78,78,76,76,75,70,87,182,175,160,154,128,101,112,73,25,72,89,84,72,45,13,12,18,9,7
3,211,214,214,214,215,216,217,216,217,216,216,216,215,214,211,209,207,198,209,204,203,202,200,198,195,192,190,189,217,218,219,219,219,219,220,220,219,220,222,221,219,218,216,215,222,145,182,215,207,205,204,203,199,197,194,192,220,223,223,224,224,224,225,225,225,225,226,227,225,223,221,221,212,121,144,227,210,211,209,208,205,202,199,196,226,227,229,227,229,229,230,231,232,230,229,229,229,229,226,225,210,119,121,228,216,216,213,211,209,206,203,201,231,232,232,234,235,235,235,236,236,235,234,233,232,232,230,230,209,114,112,232,219,219,218,216,213,210,208,204,235,236,237,236,238,240,239,239,239,238,238,237,237,236,235,233,208,122,107,230,224,222,221,220,218,215,210,208,239,240,241,241,241,243,242,244,243,243,243,241,242,240,237,239,221,132,100,230,229,226,223,221,221,218,215,212,242,244,245,245,246,247,246,246,246,246,246,246,245,244,242,240,216,114,100,237,232,229,227,225,225,222,219,216,245,247,249,248,248,249,248,248,248,247,249,249,248,248,247,238,201,134,109,224,238,232,231,229,228,225,223,219,247,248,248,251,251,252,252,251,252,252,253,253,251,251,249,242,219,170,104,203,246,235,235,233,231,229,225,220,248,251,251,252,252,254,255,255,255,255,255,255,254,252,253,243,224,168,88,188,252,236,236,236,233,231,228,224,252,253,254,253,253,255,255,255,255,255,255,255,255,255,253,249,237,169,92,152,255,235,239,238,236,233,230,227,255,254,255,255,255,255,255,255,255,255,255,255,255,252,229,214,205,201,140,177,230,253,240,239,237,235,232,228,255,255,255,255,255,255,255,255,255,255,255,255,251,241,229,165,109,179,195,232,139,211,254,241,240,238,235,230,255,255,255,255,255,255,255,255,255,255,255,232,169,185,231,164,104,122,198,197,105,71,175,253,240,240,237,233,255,255,255,255,255,255,255,255,255,255,241,220,157,119,184,199,136,99,164,175,115,77,82,237,248,241,238,236,255,255,255,255,255,255,255,255,255,244,225,193,187,160,136,209,152,89,95,130,134,87,74,221,253,242,241,238,255,255,255,255,255,255,255,255,255,233,190,138,166,169,114,163,169,95,81,107,156,105,64,208,255,243,241,240,255,255,255,255,255,255,255,255,255,232,210,135,93,142,69,110,161,79,85,104,164,149,67,177,255,243,244,241,255,255,255,255,255,255,255,255,255,237,197,163,122,97,70,104,114,58,96,157,183,168,75,181,255,245,246,242,255,255,255,255,255,255,255,255,255,237,211,204,158,108,107,134,121,106,194,204,183,125,99,246,251,247,244,239,255,255,255,255,255,255,255,255,255,247,203,204,172,133,122,152,211,219,231,185,147,79,174,255,242,243,247,250,255,255,255,255,255,255,255,255,255,255,199,200,177,142,126,135,220,217,196,157,107,78,232,255,255,255,231,184,255,255,255,255,255,255,255,255,255,255,210,174,167,142,133,129,194,197,170,127,70,151,255,233,202,157,95,67,214,220,225,230,237,243,248,251,254,255,241,167,165,155,151,124,157,172,142,86,96,191,134,91,64,54,54,61,125,127,129,129,130,135,135,136,137,135,152,196,165,162,142,112,112,112,81,65,96,81,55,50,58,51,50,46,137,137,138,139,136,136,144,141,142,137,163,226,200,165,126,105,104,102,73,73,75,65,68,45,50,43,39,40,137,138,138,139,138,138,148,144,148,142,185,209,206,175,146,131,116,100,69,71,66,61,54,53,36,37,33,38
12,167,168,168,167,167,169,169,168,168,165,163,163,163,162,162,162,160,160,159,156,156,153,152,153,152,152,149,148,170,171,169,169,169,170,170,170,169,168,166,166,165,164,164,163,162,161,161,160,160,158,155,155,154,154,152,151,173,173,172,172,173,173,173,173,173,171,170,170,167,167,166,164,166,165,164,162,162,160,160,158,156,155,154,153,176,176,175,175,176,176,175,176,177,175,173,172,171,171,170,172,168,167,167,171,166,161,162,160,159,157,155,155,178,177,177,178,177,177,177,178,178,177,175,176,173,160,129,140,174,169,157,143,154,170,163,161,162,161,159,158,181,180,178,179,181,181,180,179,179,178,178,177,178,162,134,84,145,170,144,113,82,148,174,166,165,163,162,161,184,183,181,182,184,184,183,180,181,181,180,178,187,181,152,115,82,135,163,128,78,89,175,153,166,168,164,163,185,184,183,184,184,184,184,183,184,184,180,185,191,193,166,138,81,80,174,136,98,63,96,113,99,154,170,164,185,186,186,186,186,186,188,187,185,186,188,187,170,183,174,135,105,60,154,144,113,56,50,107,74,88,177,167,188,188,188,187,186,186,188,189,187,175,166,179,167,173,168,130,92,43,138,143,112,54,44,97,71,44,166,172,189,188,188,187,188,188,189,186,185,157,116,129,160,153,161,116,74,49,152,135,103,48,41,89,66,37,163,175,191,190,190,189,192,193,190,180,186,165,144,121,118,108,165,127,86,63,161,122,95,44,55,100,67,56,181,173,192,191,193,192,194,194,190,187,187,181,166,152,96,70,165,162,103,73,161,126,88,48,93,114,56,98,189,173,194,195,195,193,195,193,195,178,154,177,177,158,124,83,160,161,99,78,176,151,89,80,123,102,47,143,185,175,196,196,196,195,196,192,196,180,124,133,176,162,132,75,103,135,75,102,190,145,82,112,150,104,55,169,182,178,198,198,199,198,198,194,202,199,160,80,112,156,107,61,38,56,30,61,150,124,72,144,164,97,105,187,178,180,199,198,200,201,198,198,190,171,137,90,60,136,88,62,45,48,35,58,96,65,71,193,159,81,107,196,180,183,200,200,201,203,199,193,196,183,161,127,69,102,104,82,69,67,67,130,159,135,132,143,111,54,56,194,183,183,201,201,201,201,200,191,203,196,170,123,82,84,114,107,75,74,143,168,171,151,157,130,62,37,62,192,184,184,203,203,202,202,202,189,202,204,176,135,114,93,104,115,95,147,197,188,183,145,142,134,84,37,107,200,183,185,203,202,202,203,203,191,200,204,180,152,123,108,106,131,177,197,205,197,181,142,129,117,74,38,161,195,186,185,204,204,204,205,205,193,193,199,180,156,125,115,112,149,203,201,200,188,165,134,116,99,61,56,194,190,189,186,206,207,207,206,207,194,186,190,181,157,125,124,116,163,207,198,194,176,149,128,106,88,41,104,205,189,190,189,208,208,208,207,210,195,184,191,179,155,128,128,122,178,200,199,185,159,139,124,98,70,46,178,198,192,191,190,209,209,208,207,210,200,183,187,185,165,139,125,123,184,192,193,176,149,129,111,90,42,94,208,193,194,193,192,209,209,209,209,211,206,186,186,185,175,147,122,119,177,184,179,161,138,116,95,75,34,164,204,196,196,195,193,211,210,209,209,211,210,186,186,183,168,140,123,118,159,172,161,143,118,97,79,40,78,208,196,200,197,195,195,210,209,210,211,212,209,188,185,178,161,135,123,120,147,160,149,129,106,81,61,35,170,206,198,200,198,196,196
15,87,83,81,81,83,85,85,86,89,98,110,122,130,139,145,150,150,154,158,164,169,172,176,179,180,183,186,187,86,82,81,82,82,84,86,86,89,100,111,123,131,140,147,151,151,155,159,165,169,173,177,180,181,184,187,189,86,82,82,81,82,84,87,87,90,100,112,123,131,140,146,151,152,155,160,165,170,174,178,181,183,186,188,191,86,83,81,81,83,84,85,86,90,101,114,123,132,141,147,151,153,156,161,166,170,176,180,182,185,187,189,192,86,83,82,83,81,89,114,99,94,102,114,124,133,141,149,153,154,156,161,167,172,177,180,183,186,187,189,192,86,84,84,83,74,161,163,132,124,121,117,119,132,140,142,143,150,157,164,169,173,176,180,184,186,188,190,194,87,85,84,82,76,155,143,120,119,117,106,119,122,125,122,116,120,127,140,158,171,179,184,186,187,188,192,194,87,84,83,83,79,98,107,92,97,91,87,114,106,107,103,115,126,120,119,122,134,144,158,174,190,191,193,195,88,84,83,81,83,83,84,83,86,83,85,93,89,87,88,118,123,119,120,125,129,122,107,107,139,195,194,195,87,85,82,81,83,85,85,86,92,103,114,115,115,112,102,110,108,105,101,119,139,132,115,111,86,138,201,196,88,86,82,81,82,83,84,85,91,105,116,129,136,145,149,136,107,93,117,142,145,140,116,123,112,79,159,205,88,84,81,81,83,83,84,84,92,105,118,127,138,156,156,136,122,124,179,143,149,127,135,141,124,102,85,178,87,83,81,81,82,83,84,84,92,105,116,133,179,164,130,113,110,106,170,122,113,134,169,132,148,130,87,90,86,83,80,79,80,81,81,82,91,105,111,161,194,131,106,110,112,86,112,93,85,187,145,127,160,144,107,71,85,82,80,79,79,80,81,81,90,105,111,156,172,110,107,128,134,126,102,81,98,167,103,115,162,153,118,83,85,82,80,78,78,79,80,81,92,106,112,144,154,95,117,136,146,136,106,94,103,110,105,127,146,139,113,84,83,81,79,78,78,79,80,81,92,105,111,152,192,117,114,137,148,134,98,91,101,104,117,127,118,98,90,79,82,82,79,78,77,79,80,80,91,105,111,155,170,187,147,115,110,97,85,92,100,103,110,119,112,81,74,74,83,81,78,77,76,78,79,79,89,105,109,190,175,168,176,134,93,57,59,87,102,108,117,128,112,80,74,73,82,78,76,76,75,77,78,79,88,103,112,150,165,178,170,154,128,76,29,39,63,114,117,118,97,78,77,78,76,73,71,70,70,71,72,74,84,98,112,122,132,154,147,148,127,113,59,39,52,109,127,110,91,86,88,88,121,116,113,109,106,101,100,101,108,115,121,129,137,140,124,116,130,156,104,48,67,81,125,134,121,110,100,94,124,120,119,118,117,117,121,121,117,115,113,112,116,120,122,119,124,179,124,74,84,73,89,109,109,100,91,84,112,111,111,109,109,110,112,110,110,111,105,102,106,108,110,112,105,128,108,111,114,108,106,95,86,84,80,75,115,116,116,114,114,115,116,116,115,116,116,114,116,117,117,118,118,116,117,118,121,121,128,128,103,84,78,74,116,118,120,118,117,116,117,117,117,118,118,118,118,118,116,118,119,119,119,120,117,117,129,142,128,106,88,94,117,119,120,119,119,116,118,119,119,120,119,119,120,119,117,118,119,119,119,119,118,117,115,128,167,119,119,127,117,118,118,117,117,117,118,118,118,118,118,118,119,118,118,119,121,120,119,119,118,118,117,117,204,192,167,157
20,117,118,119,120,120,121,121,120,122,122,121,120,120,121,120,117,118,115,113,112,111,109,106,105,104,102,100,98,121,121,122,124,124,125,124,124,125,126,125,124,123,122,119,121,120,118,118,116,113,112,109,107,106,103,102,101,126,126,128,128,128,129,128,128,129,129,129,129,127,136,129,71,126,127,120,120,118,116,114,112,110,107,105,104,130,131,133,133,132,132,134,134,133,133,133,134,130,139,142,54,78,110,128,121,121,120,118,116,114,111,109,107,134,136,137,137,138,137,139,137,137,138,138,138,136,142,143,50,29,55,114,131,125,123,121,120,117,115,113,110,139,139,140,141,142,142,143,141,141,142,142,143,139,149,139,29,68,78,76,142,129,128,126,125,122,120,117,115,142,143,144,146,146,147,146,146,147,146,147,148,143,156,139,31,95,101,50,143,134,133,130,129,126,123,122,120,148,149,149,150,150,151,151,151,151,151,152,152,146,167,145,42,98,116,47,138,139,137,135,134,130,127,125,122,153,153,153,153,154,154,155,154,155,155,156,154,149,176,126,32,110,138,51,130,146,140,139,138,135,130,128,127,156,155,155,156,156,158,157,157,157,159,159,157,157,188,109,38,134,135,46,125,152,143,142,140,140,136,133,130,159,159,159,161,162,161,161,162,161,162,162,142,124,159,122,54,143,135,40,120,157,145,146,144,141,139,137,135,163,164,164,164,164,164,165,165,165,164,165,175,157,121,98,52,111,143,59,116,159,149,148,147,145,142,140,137,164,166,166,167,169,169,169,167,167,167,167,149,171,145,113,80,89,138,66,108,164,151,151,149,148,144,143,141,167,169,170,170,171,170,171,170,170,170,174,135,86,129,154,81,33,80,51,97,168,154,155,153,151,148,146,143,170,172,172,171,172,171,173,173,173,172,176,158,21,90,152,92,31,22,22,84,172,155,156,155,153,150,147,144,172,173,173,172,174,173,174,174,174,174,178,149,42,60,136,128,68,51,12,63,175,159,159,157,155,153,149,147,174,174,175,175,174,174,176,175,176,172,167,142,98,49,39,110,104,80,21,37,175,161,161,159,157,155,152,148,175,176,176,176,177,177,178,179,177,172,165,151,130,84,30,67,100,83,32,19,167,167,164,163,158,156,154,151,178,179,179,179,179,179,179,180,172,161,109,101,140,113,57,42,81,120,74,12,141,177,164,164,163,160,156,153,180,180,181,180,180,180,183,181,169,163,126,41,64,118,41,19,51,123,111,28,68,183,166,166,164,162,159,156,182,182,182,183,183,184,184,183,171,155,118,66,17,71,40,14,76,147,139,63,16,164,174,168,165,164,162,158,183,184,184,185,185,185,185,186,171,160,149,97,29,57,64,41,147,168,130,58,21,166,174,170,168,165,163,160,185,186,187,187,187,187,187,189,170,163,165,97,56,63,121,149,181,141,111,24,47,183,171,172,170,166,162,160,188,188,188,190,190,188,188,192,172,159,158,115,71,59,161,192,164,116,92,10,90,189,170,173,171,167,164,163,188,188,189,190,190,190,189,194,175,145,140,119,75,58,150,165,139,98,67,10,133,186,172,172,172,169,164,163,186,187,188,188,189,189,189,193,181,143,139,118,86,68,143,160,125,82,40,17,170,179,174,173,171,169,169,175,188,189,190,189,189,190,191,191,192,153,135,122,103,69,132,153,107,61,5,73,192,174,174,172,172,175,160,102,190,190,191,190,190,191,193,193,195,164,143,124,100,65,96,116,69,30,0,149,187,176,176,173,163,111,43,0
0,218,219,219,218,218,218,218,218,217,217,215,215,215,215,213,213,212,212,211,209,207,207,207,205,204,204,201,201,219,220,219,220,220,219,218,219,219,218,217,216,217,215,215,213,213,212,212,211,209,208,207,206,204,203,203,202,220,220,220,220,220,219,220,220,219,219,218,218,219,216,216,214,215,211,211,212,210,210,208,207,205,204,204,203,222,221,221,221,220,220,222,221,220,220,219,217,209,219,219,217,217,220,212,213,212,209,209,208,207,206,204,204,222,222,224,224,222,222,221,222,220,224,220,197,163,163,212,188,165,174,219,209,208,214,209,211,210,206,205,204,223,223,223,224,223,222,223,210,180,185,212,188,164,128,152,177,149,117,159,169,144,160,212,192,195,209,204,205,226,224,224,224,222,222,223,205,182,152,169,207,164,136,141,191,159,129,115,165,138,100,157,175,153,214,205,204,226,225,224,223,223,224,222,223,197,176,139,192,171,141,136,190,165,130,126,176,154,110,107,172,141,211,207,206,226,226,225,224,224,228,220,206,205,177,126,179,179,142,134,188,164,130,108,162,146,111,96,163,131,195,212,208,227,226,226,226,226,229,209,169,201,156,118,180,166,129,126,175,150,120,96,150,135,101,98,165,133,149,217,206,228,227,227,227,227,223,190,152,198,145,118,174,146,112,119,165,140,108,106,172,150,95,94,168,158,119,183,213,227,226,227,227,229,224,208,180,194,161,133,168,155,116,121,174,148,99,150,195,150,85,111,171,162,121,138,220,227,228,228,228,230,215,193,172,172,161,131,176,170,116,140,189,158,108,141,181,113,83,159,180,159,107,151,219,228,230,230,231,226,195,168,149,135,120,113,177,162,110,130,190,157,103,63,81,68,129,185,180,140,103,201,213,230,230,231,229,224,203,177,151,126,118,114,126,136,109,91,120,120,119,142,108,119,183,180,165,108,148,222,208,231,231,231,227,219,202,179,151,129,126,133,128,134,139,131,134,168,192,188,182,158,170,169,136,100,202,215,210,232,231,232,230,222,204,183,159,133,124,132,142,160,173,182,196,199,188,175,174,151,148,154,103,135,223,211,212,231,231,231,229,223,205,185,166,144,135,134,145,180,194,203,201,195,183,172,169,144,130,133,87,187,221,213,213,231,232,231,228,225,208,190,172,152,150,141,177,208,205,206,201,191,177,167,162,133,118,90,131,224,214,215,214,232,232,231,229,227,213,195,180,168,162,171,203,211,207,206,199,186,174,160,146,121,87,112,213,219,216,216,215,232,233,232,230,227,215,199,187,177,170,194,204,210,211,205,186,177,166,150,134,93,101,213,221,217,218,216,215,232,233,233,228,225,219,205,191,179,173,201,207,211,208,195,177,166,155,139,104,90,204,224,216,218,219,217,215,232,234,234,228,223,218,207,196,181,173,199,208,201,196,180,165,151,141,112,83,191,229,219,220,218,219,217,215,234,235,236,231,224,221,211,205,192,179,193,201,190,181,168,151,137,111,79,179,231,220,223,221,219,218,216,215,234,234,236,232,227,218,210,206,197,185,190,194,181,166,156,140,109,80,177,233,221,224,221,220,220,218,217,216,234,235,236,231,225,216,219,219,207,193,187,185,168,155,145,115,82,181,236,225,227,225,222,220,220,219,218,217,235,234,235,229,228,215,219,219,202,191,182,176,156,136,126,87,178,238,225,227,227,225,223,222,221,219,218,217,235,235,233,225,221,198,215,206,194,187,177,160,146,130,98,128,239,226,227,226,226,225,223,223,221,220,219,217
4,68,74,88,99,104,109,112,116,119,122,122,124,127,129,132,135,135,136,138,138,139,141,141,142,142,142,143,143,69,76,90,100,105,111,113,117,120,122,124,126,127,130,131,134,137,139,139,142,141,142,142,144,144,144,144,145,70,78,92,101,105,110,114,118,121,123,122,124,128,132,138,133,122,132,139,130,139,146,144,145,146,146,146,147,71,78,94,102,107,111,115,119,122,122,138,140,123,126,163,142,95,74,123,100,81,142,148,145,147,147,147,147,71,81,95,102,108,113,116,118,127,128,126,152,150,100,121,134,88,54,82,101,59,109,155,145,148,148,148,148,71,83,97,102,109,113,118,117,150,148,121,106,117,93,78,114,81,50,96,106,56,96,157,146,149,150,150,149,72,84,98,104,110,114,115,130,163,157,137,109,68,67,75,139,88,58,127,92,41,106,158,147,150,151,152,152,73,86,99,104,110,115,112,147,145,124,132,89,61,53,70,127,96,124,130,94,49,121,156,149,152,152,153,153,74,88,101,104,110,116,113,153,126,111,128,69,51,61,46,87,120,137,115,116,88,112,158,150,152,153,154,155,76,89,101,105,111,117,118,163,138,126,116,78,41,88,110,119,123,112,107,129,113,92,124,161,154,155,155,155,77,92,102,107,112,114,127,166,128,107,99,79,28,93,123,106,106,75,103,141,129,121,85,129,161,154,156,156,78,94,102,107,113,112,135,159,118,96,80,57,32,36,64,72,62,59,101,129,141,130,103,77,142,159,157,157,80,95,103,108,114,110,151,166,129,108,93,72,49,38,43,45,82,144,140,136,133,118,113,79,95,164,156,158,81,95,103,109,115,111,165,163,129,120,97,73,59,57,86,126,155,161,146,136,119,94,96,77,96,165,157,160,82,96,103,109,114,115,173,164,146,127,97,82,69,79,137,159,163,162,147,126,109,84,78,69,133,163,159,160,82,97,104,109,113,118,180,167,149,122,97,94,75,112,154,155,163,158,139,117,97,80,64,89,163,158,160,161,84,97,104,110,114,118,177,168,144,119,106,106,92,131,151,152,157,150,128,107,91,76,59,134,166,159,161,162,86,98,104,111,116,119,175,165,141,129,128,115,112,139,148,155,147,134,117,98,86,65,89,164,159,161,161,163,86,99,105,111,116,118,165,165,152,143,136,119,121,142,147,147,133,119,105,89,78,61,139,166,160,161,163,163,88,99,104,111,118,116,152,170,162,151,134,116,106,128,135,131,120,107,96,84,62,96,166,160,162,162,164,164,90,99,104,111,118,117,140,170,153,146,132,112,98,116,123,120,108,96,87,74,65,150,164,163,164,164,165,165,91,100,105,111,118,120,131,165,144,131,122,103,104,114,124,120,105,91,83,59,117,167,160,164,165,165,165,165,93,99,105,113,118,121,127,156,133,126,116,106,121,110,111,114,97,84,67,75,161,162,163,164,165,166,166,166,93,100,107,113,119,124,126,159,136,132,122,125,130,111,99,104,91,78,58,123,168,160,162,163,166,166,167,167,93,100,108,114,120,121,152,153,151,135,128,127,118,106,92,94,86,74,60,148,165,161,163,165,166,166,167,168,94,100,107,115,114,137,166,149,129,135,134,124,109,101,87,84,78,70,56,147,166,161,164,166,167,167,167,168,96,100,108,114,120,167,154,160,137,91,123,118,104,96,76,75,74,66,58,149,165,164,165,166,167,167,168,168,96,101,111,110,142,166,151,154,166,123,75,99,100,91,69,73,71,64,53,145,165,165,166,167,168,168,168,169
13,152,155,158,159,159,161,163,165,166,166,167,167,168,169,168,168,169,168,168,168,169,168,168,169,168,167,167,165,153,155,160,160,160,163,167,168,169,168,170,169,170,171,171,171,171,170,169,169,168,168,169,169,168,169,169,169,155,158,161,162,165,167,168,169,169,170,171,172,173,174,174,174,174,173,172,174,170,169,170,171,171,171,171,171,158,160,162,163,165,168,169,170,170,172,172,173,176,177,174,176,174,180,182,167,177,170,173,173,173,174,173,172,161,162,164,166,168,168,170,173,172,174,174,174,176,175,176,176,177,216,197,129,145,184,168,176,176,176,175,175,161,164,166,168,169,171,173,174,175,176,176,177,174,179,178,174,192,221,182,113,140,209,134,117,178,176,177,175,163,166,168,170,170,172,175,176,176,177,178,176,180,218,191,159,211,211,195,105,161,196,137,65,139,185,176,177,164,167,170,171,173,174,177,178,178,180,179,172,202,229,209,163,172,170,144,63,166,191,125,57,112,192,177,179,165,169,172,172,175,177,178,178,178,181,181,194,186,219,220,192,122,61,68,53,160,149,73,40,121,192,179,182,167,170,172,175,177,178,179,181,181,178,205,226,172,156,229,203,148,56,47,96,172,136,87,51,127,193,183,184,170,171,173,176,179,179,180,184,181,187,229,226,206,130,191,204,145,84,17,61,183,205,200,102,130,195,183,185,170,173,176,177,179,182,183,186,179,210,224,227,223,165,121,178,131,76,25,90,181,195,192,143,137,195,186,189,172,175,178,179,180,184,186,185,183,225,210,210,213,171,81,142,165,81,88,214,210,183,161,148,115,190,188,189,172,176,179,180,183,186,187,183,203,229,213,187,174,128,56,114,187,121,195,228,210,186,152,127,100,187,192,189,174,177,180,183,184,185,188,185,207,229,219,191,159,126,74,45,163,207,226,216,207,178,144,100,122,198,190,190,177,179,182,185,185,185,190,187,204,229,221,192,147,144,107,77,215,229,225,216,194,155,130,87,146,201,192,191,177,180,183,186,186,186,189,187,211,229,224,203,185,155,182,203,229,226,223,212,179,150,121,80,159,203,193,193,178,181,185,187,188,189,192,189,213,229,228,214,208,186,197,210,228,221,213,205,173,141,100,80,181,200,195,195,180,183,186,188,188,191,195,189,208,229,228,221,210,195,194,200,226,214,199,198,171,117,76,118,206,195,198,196,182,185,187,190,192,191,194,193,202,229,229,228,212,191,196,202,214,196,186,182,139,86,72,184,205,197,199,198,185,187,188,191,192,195,199,195,190,219,213,199,179,171,190,197,214,198,183,158,106,50,117,213,198,201,201,201,185,187,190,191,193,192,144,132,128,120,102,84,79,75,77,83,96,89,90,87,64,74,207,204,201,202,201,201,184,188,192,192,197,184,106,107,107,97,80,73,67,58,49,43,23,13,10,5,3,28,122,201,204,202,202,202,186,189,192,193,198,195,117,106,108,93,80,76,71,58,51,41,30,21,14,6,1,0,0,73,216,199,204,203,188,190,192,193,198,203,125,103,102,90,80,76,67,55,45,36,25,16,10,4,0,6,0,115,219,204,205,205,186,189,192,193,195,204,129,105,101,90,88,78,64,50,41,34,25,14,9,3,3,0,70,223,205,207,206,206,186,188,190,193,195,203,132,99,102,88,85,76,60,44,35,31,23,15,8,4,0,1,184,214,206,207,206,206,186,189,191,195,197,203,131,98,97,88,80,70,55,43,34,31,24,15,8,4,0,57,219,204,208,206,206,206
17,162,165,167,168,170,172,172,172,174,174,174,174,174,173,172,172,173,171,170,170,168,168,167,165,163,162,160,158,163,166,169,171,173,173,174,175,176,176,176,176,176,176,175,175,175,173,173,173,171,169,169,167,166,164,162,160,166,170,171,173,175,176,176,176,177,178,179,179,179,179,178,177,176,175,176,175,174,172,170,169,168,166,164,163,168,171,173,175,177,178,178,178,179,180,180,181,181,182,181,177,181,180,174,178,176,175,173,171,169,168,166,165,171,174,175,177,177,179,180,180,181,182,183,183,183,184,180,189,191,154,145,183,177,177,175,175,172,170,168,167,172,175,177,179,180,182,183,183,182,183,184,184,184,185,180,196,216,130,120,186,179,179,178,177,175,173,171,170,175,177,178,181,182,183,185,185,186,186,186,186,186,187,185,186,228,162,126,187,180,181,180,178,177,175,174,173,177,178,182,183,184,184,186,188,188,188,188,190,189,189,188,188,238,196,139,185,184,182,181,180,179,178,177,175,178,181,183,185,186,187,188,189,190,190,190,191,192,190,189,196,245,217,143,174,189,184,184,182,181,180,179,177,181,183,184,188,189,190,190,191,191,193,194,192,192,192,187,209,240,218,146,162,194,187,186,184,184,182,181,179,182,185,187,189,191,191,191,193,194,193,192,193,215,216,181,182,226,228,152,153,196,188,188,186,184,183,183,180,183,186,188,190,192,192,194,194,194,197,201,194,235,226,204,160,183,210,165,146,196,189,189,189,187,185,185,183,185,188,190,192,194,194,196,196,194,229,245,197,179,216,213,223,218,163,136,140,196,191,191,190,189,187,185,184,187,189,191,193,195,195,197,196,201,230,219,211,164,179,161,217,228,181,117,123,196,194,193,191,190,189,188,186,188,190,193,195,196,196,199,198,205,230,157,177,197,127,104,130,229,212,139,104,189,198,194,193,191,191,190,188,189,191,194,195,197,198,201,198,210,224,173,162,153,129,128,106,214,239,172,99,168,202,194,195,193,192,191,189,191,194,195,198,199,201,203,200,213,237,210,174,151,151,159,142,201,245,194,115,160,205,195,197,195,192,191,191,194,194,195,198,201,202,203,200,218,237,182,158,162,177,181,191,232,239,202,130,157,208,198,198,198,202,200,191,193,195,198,199,201,202,203,201,216,236,199,177,175,194,189,230,245,225,191,135,155,210,198,202,190,157,149,125,193,195,197,199,201,201,203,201,213,245,216,188,174,197,208,242,245,220,178,130,160,209,201,194,124,107,105,100,194,196,198,200,202,202,204,204,212,245,226,206,181,201,232,245,235,210,171,123,156,207,206,154,103,110,106,104,194,197,200,201,203,204,206,207,210,245,236,219,198,198,235,245,225,203,165,113,160,221,162,103,93,82,76,64,194,198,201,202,205,206,207,207,208,242,244,227,216,205,225,240,214,197,164,107,152,155,103,93,85,68,66,53,196,199,202,204,205,207,207,208,207,235,245,233,224,208,204,227,205,195,154,110,106,103,102,94,79,58,55,57,191,194,199,202,203,205,207,209,208,222,245,235,220,198,189,203,193,195,149,105,90,99,96,99,90,61,46,49,128,130,134,136,133,134,137,141,139,161,245,232,206,182,178,184,194,187,138,98,68,84,85,83,101,81,47,41,109,113,114,111,111,111,110,110,108,129,242,209,184,171,173,181,192,168,112,90,75,55,77,68,90,97,59,39,120,122,122,118,122,124,123,122,128,85,204,207,179,170,180,178,172,141,87,34,59,51,59,62,72,95,74,44
15,114,118,121,124,127,132,143,154,163,168,172,175,179,184,188,190,194,196,198,199,201,204,204,204,205,205,206,205,116,118,120,126,128,133,144,155,163,170,173,175,180,185,188,191,195,197,199,201,203,204,206,206,206,207,209,208,116,117,120,126,130,135,147,156,165,172,176,176,182,187,190,194,197,200,201,203,205,206,207,208,209,209,209,209,117,118,121,127,125,130,145,156,165,172,176,178,183,189,192,196,200,201,202,205,207,209,209,210,212,210,211,212,117,118,122,124,156,164,163,163,170,178,176,180,184,190,195,198,199,201,205,207,209,210,211,213,215,214,214,215,116,122,114,164,234,182,174,169,184,194,178,173,175,185,186,196,205,206,207,208,209,212,214,215,216,216,215,215,118,122,114,164,204,144,143,142,178,176,157,158,195,196,172,161,171,193,203,213,216,212,215,217,218,217,218,217,119,120,122,125,140,132,134,130,161,154,137,148,200,199,179,144,160,169,177,173,196,222,215,219,219,218,219,218,118,120,123,127,128,138,148,156,162,158,149,152,188,193,155,148,201,184,183,172,138,188,227,217,221,220,221,220,119,121,123,127,131,140,153,165,175,182,182,182,175,153,133,222,195,195,163,196,174,125,200,227,221,223,223,222,120,120,124,127,129,140,153,164,174,178,188,218,164,133,140,198,190,160,159,197,179,162,120,215,225,223,223,223,118,120,123,127,129,141,154,166,176,178,206,228,191,132,110,113,149,132,182,166,170,180,122,139,234,223,225,225,119,121,123,127,130,141,156,166,176,179,196,231,217,173,153,133,121,136,198,161,170,145,141,100,181,239,224,227,119,121,123,126,130,142,156,167,176,181,208,206,212,197,212,191,137,135,134,142,141,115,105,109,105,215,233,227,119,121,123,127,131,142,155,168,173,198,224,190,188,175,208,184,120,121,124,119,129,112,94,103,92,118,229,231,120,121,124,127,130,143,157,168,176,195,192,156,160,166,189,149,116,122,120,123,132,122,102,101,101,82,154,242,120,121,123,127,131,144,157,167,178,187,201,165,162,135,122,114,106,111,113,114,119,115,115,111,101,98,97,219,120,121,123,127,131,145,158,169,176,194,216,215,189,145,124,145,133,89,116,127,124,121,127,125,107,101,89,154,119,121,124,126,131,145,158,169,179,186,196,214,197,165,157,150,156,95,119,147,140,141,146,137,110,95,101,97,120,121,123,127,131,145,158,170,180,186,191,191,175,151,117,112,148,170,114,146,160,157,148,129,101,98,104,100,120,119,122,125,131,145,159,171,180,186,187,190,172,146,115,98,131,162,123,123,167,164,138,115,99,104,106,105,120,119,122,124,131,145,159,171,180,186,187,194,202,208,209,189,156,181,182,152,148,144,120,110,106,110,110,105,117,118,121,122,129,144,158,170,180,185,187,192,198,202,212,210,129,149,165,175,136,139,126,102,87,86,87,90,115,117,120,121,128,144,158,170,180,184,186,192,199,204,216,185,107,103,82,86,95,98,85,70,62,60,56,51,116,116,119,120,126,142,156,169,180,185,187,193,200,204,219,162,108,111,108,61,65,77,71,65,64,60,54,46,114,115,118,120,125,141,157,169,179,186,188,194,200,206,215,140,106,103,104,96,40,67,72,66,64,60,54,46,112,113,116,118,125,141,156,169,179,186,188,193,199,209,199,112,105,102,96,104,46,44,65,62,54,52,52,43,109,110,114,115,124,140,153,166,177,184,185,192,197,213,168,104,109,99,95,107,49,36,54,56,49,54,57,40
15,66,70,75,79,82,88,102,115,126,133,138,142,147,153,158,160,165,168,170,172,174,177,178,178,179,180,181,179,68,71,74,80,83,89,103,116,126,135,140,141,148,154,158,162,167,169,172,175,177,177,180,180,180,182,184,183,68,70,74,80,86,92,107,118,129,137,142,144,150,157,161,166,169,173,174,177,179,180,182,183,184,184,185,185,69,71,75,82,79,86,104,118,129,138,142,145,152,159,162,168,172,174,176,179,182,184,184,186,188,186,186,187,69,71,76,78,118,128,127,126,136,145,143,148,154,161,167,170,171,174,179,182,184,185,186,189,191,191,190,191,68,76,65,128,216,150,141,134,153,166,145,139,142,154,156,168,179,180,182,183,185,188,190,192,193,192,192,192,70,76,65,128,177,103,102,101,146,143,120,121,166,168,138,124,137,164,176,189,193,188,192,194,195,194,195,194,71,73,75,79,98,88,91,86,125,116,94,108,172,171,147,103,123,134,144,140,168,200,191,196,196,196,197,196,71,73,77,82,83,96,109,118,126,121,110,113,158,164,117,108,174,153,151,137,96,158,207,195,200,198,199,198,71,75,77,82,87,98,114,130,142,150,150,150,141,114,89,200,167,167,126,168,141,79,173,207,199,201,202,201,73,73,77,82,85,98,115,128,141,146,157,196,128,90,99,171,161,123,122,169,146,125,72,192,204,201,202,202,71,74,76,82,85,99,115,130,143,145,180,208,162,88,61,64,110,88,150,130,136,148,75,96,215,202,205,205,72,75,77,81,85,100,117,130,143,147,168,211,195,140,114,90,74,93,171,125,136,105,99,49,149,221,203,207,71,74,77,81,86,100,119,131,143,149,183,180,188,170,188,161,94,91,90,100,100,66,55,59,54,192,214,207,72,74,77,82,87,101,117,133,139,170,203,161,158,142,183,153,73,74,78,71,84,64,41,52,38,71,209,211,73,75,78,82,86,102,119,133,142,167,163,118,124,131,159,110,68,76,73,77,88,76,51,50,50,26,116,225,73,74,77,82,86,103,119,132,145,157,174,129,125,91,76,65,55,62,64,66,72,67,67,62,49,45,44,196,73,75,77,82,86,104,121,134,142,166,192,191,159,104,79,105,89,35,68,82,79,74,82,79,57,50,34,116,72,75,78,81,86,104,120,134,146,156,168,191,169,129,120,111,118,43,72,107,98,99,106,94,61,43,49,44,73,74,77,81,87,104,120,135,148,155,162,162,142,112,69,64,108,136,66,106,122,119,108,85,50,46,53,48,73,72,76,80,87,104,122,137,148,155,156,160,138,106,67,46,87,125,77,76,131,128,96,67,48,53,56,54,73,72,76,78,86,104,122,137,148,155,157,166,176,183,185,160,118,149,151,113,108,103,73,61,56,61,60,54,69,71,74,76,84,103,120,135,148,154,156,163,170,175,188,185,85,109,129,142,94,96,81,50,32,31,32,35,67,69,74,74,83,103,120,135,148,153,155,163,172,178,193,154,56,52,26,31,42,46,30,11,1,0,0,0,68,68,72,73,81,101,118,135,148,154,156,164,172,177,197,125,58,62,59,0,5,20,12,4,3,0,0,0,66,67,70,73,80,100,120,135,147,155,158,165,173,180,191,98,55,52,53,43,0,7,14,6,3,0,0,0,63,64,68,71,79,99,118,134,147,155,158,164,172,184,171,63,54,51,44,54,0,0,5,1,0,0,0,0,60,61,66,67,78,98,114,131,144,152,155,163,170,189,132,53,59,47,43,57,0,0,0,0,0,0,0,0
1,156,157,160,161,162,164,164,164,164,164,164,164,163,164,163,162,159,159,159,158,157,156,155,153,152,151,149,149,157,159,161,163,164,165,165,165,166,165,166,166,165,166,165,165,155,134,157,160,158,157,156,155,154,152,151,150,159,161,164,165,166,168,168,168,168,167,168,168,167,167,166,172,155,98,140,152,159,159,158,157,156,155,153,152,161,163,165,167,168,170,171,171,171,170,171,170,169,171,156,155,151,103,138,115,148,162,161,159,158,157,155,154,164,165,167,169,170,172,173,173,173,173,173,173,172,178,141,126,140,106,145,108,136,165,164,162,161,159,157,157,165,167,170,172,172,174,175,174,175,175,175,175,175,180,130,125,141,108,143,106,125,168,166,164,163,161,160,159,167,169,171,174,174,175,176,177,177,177,177,175,167,176,118,121,139,107,142,109,119,170,169,167,165,164,163,161,169,171,173,176,177,178,179,179,180,180,180,175,138,164,114,118,137,106,141,115,118,171,171,170,168,167,165,164,171,173,176,178,179,179,180,180,181,181,186,162,118,152,108,131,140,105,137,116,118,172,172,171,170,168,167,166,173,175,177,179,180,181,182,182,182,183,189,146,109,142,106,153,144,109,151,129,117,174,174,173,172,170,169,167,174,176,180,181,181,182,184,186,185,185,189,136,115,150,109,149,130,106,164,136,122,176,176,175,173,172,170,170,175,178,181,184,184,186,186,187,187,191,187,120,121,144,96,127,108,104,161,128,124,178,178,177,175,173,172,171,177,180,182,185,187,188,187,188,188,197,184,125,145,129,105,128,120,135,158,123,125,180,179,179,177,175,174,172,179,181,183,186,188,189,189,189,189,203,174,123,159,154,146,141,132,150,145,118,127,181,180,180,180,178,176,174,180,182,185,187,189,190,191,191,191,204,176,150,136,159,172,172,144,123,121,108,125,184,183,182,181,178,177,175,182,184,186,188,189,191,192,192,196,202,177,149,115,132,144,168,169,147,116,93,121,186,186,184,182,180,179,177,182,185,187,188,189,192,193,193,202,199,159,132,120,124,133,164,179,171,149,110,118,187,187,186,183,182,181,179,183,187,189,190,191,193,194,194,208,200,152,134,136,133,155,176,180,184,161,134,110,173,189,187,185,182,180,180,185,187,190,191,193,195,195,195,211,203,159,140,141,144,178,199,188,176,154,133,103,162,190,188,186,184,182,181,185,188,190,192,194,195,195,195,209,208,173,150,140,154,196,209,188,162,135,116,101,160,191,188,187,186,184,181,185,188,192,194,195,197,196,196,207,215,188,157,145,153,206,214,181,146,121,101,100,162,192,189,187,187,184,182,186,189,192,194,196,198,198,198,204,213,189,161,150,146,204,202,169,136,114,97,106,176,193,191,189,187,186,184,187,189,192,195,196,197,199,199,201,207,187,170,153,152,194,184,156,128,108,98,123,188,193,192,190,188,187,185,188,189,193,195,197,198,199,200,200,202,195,186,163,170,186,167,142,119,104,102,155,194,194,193,191,188,187,186,188,191,193,195,197,199,199,200,199,199,197,187,160,156,165,152,128,111,101,114,182,195,195,193,191,189,188,187,189,191,194,196,198,199,200,201,201,200,191,174,152,142,145,141,124,109,100,132,194,196,195,194,192,189,188,188,189,191,193,196,198,199,200,200,201,200,186,163,151,149,145,141,134,109,100,156,198,197,195,193,192,190,189,188,188,190,192,195,197,198,199,199,199,198,193,174,171,163,149,137,133,104,98,173,197,195,194,193,191,189,188,187
1,128,130,131,132,133,133,132,132,132,130,129,129,130,129,128,131,129,125,123,123,122,120,117,116,114,113,111,109,130,130,132,133,133,133,133,132,132,131,130,130,129,131,130,104,115,127,123,122,121,119,117,116,115,113,111,110,130,130,131,133,133,134,135,134,133,133,132,133,128,97,114,83,74,134,126,123,121,120,118,118,115,114,113,112,131,132,133,134,134,135,134,135,134,133,133,133,133,75,76,96,50,75,94,129,122,121,120,118,116,115,114,113,133,134,135,135,136,137,137,137,136,135,134,135,129,68,78,96,34,59,56,123,126,122,121,120,117,115,114,113,134,136,136,137,137,138,138,138,138,136,134,139,123,57,87,85,32,77,52,111,129,122,122,121,120,117,116,115,136,137,137,140,141,141,140,140,140,140,103,112,120,56,100,87,38,83,46,103,132,124,124,122,121,120,118,116,137,139,140,141,141,142,141,141,140,143,92,79,123,60,100,81,39,89,52,101,135,126,127,125,122,121,119,116,140,141,141,141,142,142,142,143,142,141,76,84,105,53,100,65,47,101,54,96,137,127,128,126,124,122,121,121,141,142,143,143,145,144,144,143,146,136,62,93,89,54,104,63,66,104,44,96,139,129,129,128,125,123,122,121,142,142,143,145,145,146,146,145,147,137,64,94,102,59,107,75,64,100,46,103,140,131,131,130,127,125,123,121,143,143,144,145,146,147,148,146,151,129,52,94,111,57,101,75,55,103,59,100,141,132,131,130,128,126,124,122,142,145,146,147,147,148,149,147,152,130,57,90,102,42,83,51,54,108,53,98,145,132,133,131,130,127,126,123,143,146,148,148,148,150,150,148,154,136,61,73,100,64,82,90,88,75,54,82,136,135,134,132,131,128,127,125,145,147,148,149,150,151,150,149,155,126,78,93,89,93,89,94,95,62,62,47,80,144,133,132,131,129,128,127,146,147,149,150,151,152,153,153,155,134,114,88,66,74,77,84,83,72,55,59,58,132,136,133,131,129,128,127,147,148,149,150,152,153,154,154,159,138,100,67,60,63,81,91,73,65,83,98,58,105,144,133,133,129,128,126,148,149,150,152,153,153,154,156,160,133,95,62,63,68,89,96,100,107,95,107,79,77,144,134,134,130,128,127,149,149,151,153,154,154,155,156,156,137,100,63,63,74,94,105,114,130,101,96,92,56,134,138,134,133,130,128,150,150,153,153,154,155,156,156,152,137,108,73,54,77,95,110,113,115,112,87,68,36,127,139,134,133,131,128,150,151,152,154,155,155,156,157,151,140,118,85,60,64,97,121,122,117,99,77,53,42,139,137,134,132,131,129,149,150,152,154,155,156,156,157,150,135,116,88,68,64,102,130,123,111,92,72,38,80,150,136,135,134,133,130,150,152,153,155,155,156,157,158,149,132,117,94,73,75,111,127,116,103,84,65,32,121,146,138,136,135,133,130,150,153,155,155,156,157,158,159,154,135,119,105,87,84,118,123,116,98,76,45,54,149,140,140,137,136,134,132,151,153,154,156,157,157,159,160,159,139,121,110,96,83,109,112,102,85,65,23,108,151,141,141,139,137,135,133,152,153,154,157,158,159,160,160,160,149,128,115,100,82,94,98,81,67,28,62,152,145,142,142,139,137,135,134,152,154,155,156,155,157,160,161,159,152,131,107,98,90,89,85,65,33,57,150,149,145,143,142,139,136,136,133,152,154,155,156,156,159,161,162,154,149,133,111,112,94,81,72,43,31,138,154,146,147,143,141,139,137,135,133
21,120,123,128,135,140,145,148,152,156,159,163,165,167,170,172,173,174,176,176,176,177,178,177,177,178,179,178,178,121,125,131,137,142,147,150,154,158,161,164,167,170,173,174,172,173,177,179,179,179,180,180,180,181,181,181,180,123,126,133,139,145,149,153,156,160,164,166,169,173,176,177,161,149,173,181,181,182,181,182,183,184,184,184,184,125,129,135,141,147,152,156,159,162,166,169,172,176,178,181,159,122,162,183,184,183,173,163,180,187,187,187,186,127,131,138,144,149,154,158,161,164,168,171,175,178,180,184,165,119,150,185,187,186,168,133,162,189,190,189,188,130,133,140,147,152,156,160,163,167,171,174,177,181,183,186,169,122,138,184,189,189,172,127,143,188,192,191,190,131,135,142,149,154,158,162,166,169,173,177,180,183,185,187,176,133,131,180,191,191,174,129,132,186,193,192,192,133,137,144,150,156,160,164,167,171,175,179,182,185,187,189,186,151,129,173,193,192,178,135,128,184,195,195,195,134,139,146,153,158,162,166,169,173,176,180,184,186,188,191,193,161,128,162,194,195,184,146,127,181,198,198,198,135,140,148,154,159,163,167,171,175,178,182,185,187,190,193,199,171,133,151,193,196,188,153,126,177,199,200,200,136,142,149,156,160,164,169,173,176,180,183,187,188,188,187,200,187,149,147,191,199,190,159,127,174,200,201,201,137,143,151,157,162,166,170,174,178,181,185,188,191,189,180,182,190,163,146,187,201,197,171,132,173,201,202,202,138,144,152,158,163,168,172,176,179,183,187,190,199,206,196,176,165,147,136,180,201,198,174,134,172,203,203,203,140,145,153,159,165,169,173,177,181,184,188,191,195,193,191,179,154,122,115,158,186,185,168,131,170,204,205,204,141,146,154,160,166,171,174,178,182,186,189,192,192,180,165,151,150,135,127,134,145,154,151,126,167,206,206,206,142,148,155,161,167,172,176,179,183,187,191,193,196,193,175,140,130,151,162,153,128,115,126,116,161,206,207,207,143,150,157,162,167,172,177,181,184,188,192,194,187,175,175,145,104,122,161,166,134,99,97,101,157,206,209,208,144,151,158,163,168,172,177,181,185,189,193,194,178,142,148,147,104,84,115,152,147,114,86,86,148,206,210,210,144,151,159,165,169,173,177,181,185,190,194,195,183,154,137,138,122,91,71,122,160,140,99,80,132,203,211,211,144,150,158,164,169,173,178,182,185,190,194,197,196,173,134,116,118,100,72,105,163,163,125,91,118,197,212,212,143,150,157,163,168,172,177,182,186,190,193,197,202,182,148,117,98,90,96,131,173,177,144,109,111,187,212,213,145,151,158,164,168,172,178,182,186,190,194,198,207,196,165,122,101,106,133,180,191,175,143,113,109,182,212,213,146,152,159,164,170,174,179,183,187,191,195,198,207,198,162,125,117,127,160,204,196,166,130,103,105,182,212,213,146,152,159,165,170,175,179,183,187,191,194,197,204,196,163,139,130,132,172,209,190,157,121,95,104,184,213,214,146,152,159,165,170,175,179,183,187,191,194,196,201,194,172,146,130,134,176,207,185,150,115,92,107,187,213,214,142,148,155,162,167,172,176,181,186,190,193,195,197,192,174,144,137,140,173,198,178,145,110,89,110,190,213,214,119,122,128,133,137,141,147,152,158,163,167,170,176,185,174,149,150,145,164,185,163,132,102,87,113,188,206,208,96,97,98,100,101,103,106,110,112,115,116,119,133,171,175,157,157,147,156,176,149,118,95,85,103,152,165,169
21,1,38,51,56,64,75,88,96,103,108,111,114,116,118,120,128,127,128,130,130,132,135,135,135,136,137,137,137,6,42,52,58,65,76,90,98,104,108,111,114,116,125,123,100,127,130,132,133,134,135,136,137,138,139,139,138,11,45,53,59,65,79,91,100,105,109,113,118,114,142,130,59,120,135,133,134,136,137,139,140,140,139,140,140,17,47,54,60,66,80,93,100,106,111,115,118,115,144,131,67,114,138,135,136,136,138,140,140,140,141,141,142,23,50,54,61,69,83,95,101,107,111,116,119,116,144,129,69,108,140,135,138,139,141,143,143,142,145,144,144,28,51,54,62,70,85,95,104,109,112,118,121,117,144,135,77,104,143,136,139,141,143,145,143,103,113,151,145,35,52,56,64,72,88,97,105,110,114,119,122,120,142,137,84,94,145,139,141,143,143,147,128,76,98,154,146,40,52,58,65,74,88,98,106,112,117,121,122,121,141,135,89,82,144,140,143,144,149,144,109,74,138,151,148,43,53,59,65,75,90,99,106,112,117,121,122,122,147,145,91,78,144,140,143,145,152,132,86,101,156,148,150,46,53,60,67,77,93,100,108,113,118,121,125,124,153,150,100,85,145,142,145,146,137,111,78,143,153,150,151,49,55,60,67,79,93,101,109,114,118,121,124,121,143,135,95,80,142,142,147,148,130,80,104,159,150,152,152,50,55,61,68,80,94,103,109,114,119,123,152,120,109,109,78,77,143,143,148,147,116,74,145,154,152,153,153,51,55,63,70,82,95,102,109,117,118,129,159,115,79,73,61,80,129,136,141,135,77,108,160,152,154,154,154,52,57,64,69,83,97,104,110,117,119,151,121,98,76,49,58,82,116,127,123,96,72,151,153,154,154,155,154,52,57,64,69,85,98,105,113,112,150,162,139,112,96,56,48,70,96,108,97,62,116,162,152,155,155,155,155,53,57,64,72,87,97,104,111,117,158,150,167,149,115,68,47,66,78,93,77,73,157,155,155,156,156,155,156,53,58,66,73,87,97,106,108,133,136,135,161,150,93,63,54,58,70,78,59,115,163,155,156,157,157,157,157,53,59,67,74,90,99,109,109,148,145,116,90,118,92,69,57,55,60,63,57,143,159,157,157,157,157,157,157,55,60,66,74,90,98,108,112,150,119,88,75,111,108,76,58,56,54,58,59,147,158,157,159,159,159,159,159,55,61,66,75,90,100,107,119,159,125,120,105,105,128,85,69,61,55,52,60,149,160,158,158,159,160,160,160,55,62,67,75,91,101,105,126,159,136,123,97,156,157,98,89,66,52,51,68,156,158,158,159,159,160,160,160,55,62,68,78,93,101,105,130,168,146,112,125,182,144,103,92,68,53,49,78,161,158,159,159,160,160,160,161,56,63,68,79,92,101,105,131,169,129,112,139,162,123,92,85,72,57,46,101,167,157,159,160,160,160,161,161,58,63,67,79,93,102,107,128,153,123,122,134,153,120,101,76,71,58,48,127,163,157,160,161,161,162,162,162,57,62,67,80,94,102,107,123,138,138,134,131,155,116,111,83,59,56,53,143,161,158,160,160,162,162,162,163,57,62,68,82,93,101,110,116,142,158,121,135,150,106,96,78,57,50,64,153,159,160,161,161,162,162,162,163,56,61,66,81,92,100,110,112,140,152,120,116,132,92,77,63,55,43,81,159,155,159,162,161,162,163,163,163,55,61,64,80,90,100,108,113,129,135,119,117,116,92,78,67,57,39,94,161,153,158,159,159,160,161,162,162
8,188,188,189,188,189,189,189,189,190,190,189,189,188,189,188,188,188,187,188,187,187,186,184,183,184,184,167,88,189,190,191,191,191,190,190,191,191,190,186,189,190,190,191,190,189,189,189,189,188,188,186,186,186,185,180,134,191,193,193,192,192,192,192,192,194,192,153,181,194,193,194,193,192,192,191,191,190,189,187,187,187,186,182,122,192,194,194,193,194,193,193,193,198,189,131,177,196,195,194,195,194,193,193,192,192,191,190,189,189,188,179,134,194,194,195,195,194,194,195,194,204,176,118,185,197,196,195,196,196,195,195,194,193,192,192,191,191,190,185,162,195,195,196,196,196,195,196,196,210,163,118,194,198,197,197,199,197,196,196,196,194,193,193,193,192,191,188,187,195,196,198,198,198,198,197,201,212,156,129,198,200,199,200,200,199,198,197,196,195,195,195,194,193,193,191,191,197,197,199,199,199,200,199,207,206,138,145,201,199,201,201,199,201,200,199,199,197,197,195,195,195,193,192,191,199,199,199,199,200,201,199,211,197,134,152,207,185,178,199,194,187,198,201,201,199,196,196,196,196,194,194,194,200,201,201,200,201,201,200,215,195,141,161,223,185,145,174,183,147,157,178,179,188,160,164,199,197,197,197,196,201,201,201,201,202,202,202,217,196,148,193,232,202,154,147,177,152,115,134,147,178,135,127,200,199,199,197,196,202,201,202,202,203,203,206,215,195,158,216,236,214,166,126,170,152,130,161,150,189,137,121,200,199,198,198,197,202,202,202,202,203,203,210,204,193,181,206,232,220,171,117,159,141,159,174,153,196,161,129,196,201,199,199,198,202,202,202,202,204,205,208,184,195,195,183,213,220,174,112,138,139,174,162,147,193,179,144,168,204,201,200,199,202,202,202,202,203,209,205,164,186,185,175,195,221,180,110,110,140,177,149,124,187,179,138,133,204,202,201,200,201,201,202,202,202,212,206,152,156,166,155,172,214,176,104,93,136,170,134,118,186,165,118,151,204,202,201,200,201,202,202,203,203,220,217,151,135,138,133,140,196,182,114,86,139,176,129,138,173,135,112,189,202,201,200,200,202,202,202,203,207,226,224,166,124,132,127,132,175,189,136,78,134,153,128,159,138,104,143,203,201,201,200,200,202,202,203,203,209,228,226,181,120,123,125,126,161,169,123,111,170,164,169,167,118,102,187,203,201,201,201,201,202,202,203,204,212,228,226,189,122,125,133,132,179,187,168,187,188,170,158,156,109,119,203,204,204,203,201,201,202,203,203,204,214,228,228,191,127,133,135,156,204,213,212,202,186,169,138,127,99,146,207,204,205,204,202,201,202,204,204,204,213,226,225,186,141,148,138,190,219,220,217,205,185,158,125,100,106,191,207,205,204,203,203,202,148,150,152,153,193,229,224,192,162,154,142,199,224,228,216,199,175,142,110,88,140,202,202,201,199,200,203,204,99,99,98,95,156,229,223,200,170,162,150,194,229,229,203,184,159,124,100,88,115,131,134,146,172,199,209,207,103,102,102,99,138,224,220,199,171,165,154,194,229,216,189,165,139,108,95,92,100,125,157,189,204,206,207,203,104,102,103,100,136,220,210,188,167,162,157,203,218,198,172,141,119,94,100,146,174,198,207,210,214,208,197,196,102,103,105,101,152,216,201,183,169,162,166,198,199,183,152,124,110,86,149,221,216,196,189,192,198,206,202,193,102,102,104,101,169,214,197,182,172,165,172,187,184,172,138,117,107,106,180,199,217,211,188,178,184,187,183,186
2,174,173,175,174,174,175,175,174,174,172,172,173,173,173,170,171,170,169,167,168,168,167,170,101,60,64,60,63,177,175,177,176,176,177,177,177,175,176,176,177,174,174,175,170,175,174,175,171,172,169,175,131,62,68,55,65,179,179,180,179,179,180,179,180,180,180,180,178,178,183,172,115,121,160,149,177,175,172,176,149,66,53,40,63,181,182,183,184,183,183,184,183,183,179,183,185,185,155,112,86,66,101,82,146,177,174,175,165,81,38,45,71,185,185,186,187,186,186,187,186,184,191,199,189,117,82,70,66,64,75,68,65,151,183,175,183,105,23,34,61,188,188,189,188,188,188,187,187,188,201,190,134,72,63,60,55,51,59,68,57,145,187,177,185,132,109,81,45,190,190,191,192,191,192,190,185,196,209,130,74,57,51,59,55,46,53,53,78,173,185,181,184,161,118,170,151,193,192,192,193,193,193,192,185,210,191,102,65,56,49,52,57,64,93,132,172,188,186,184,193,138,118,202,175,195,195,195,193,194,195,192,195,214,157,91,63,71,60,62,68,144,195,195,192,187,187,185,194,147,149,195,122,196,197,196,197,196,197,194,210,197,136,78,58,68,60,86,165,198,192,190,192,191,190,188,189,179,162,121,118,198,198,198,198,200,196,199,219,187,131,90,72,61,61,145,211,193,195,193,194,194,192,191,189,190,181,126,182,201,200,199,200,201,197,213,224,174,121,89,83,67,62,169,204,196,196,196,196,194,193,192,193,190,186,179,166,202,201,200,202,202,197,226,213,161,107,83,80,72,87,199,200,200,198,197,196,195,194,195,194,194,188,187,192,202,202,202,204,198,202,232,198,154,106,79,73,69,116,210,200,201,200,199,198,198,197,197,196,195,194,185,166,205,203,204,204,193,219,225,185,142,100,79,75,69,122,213,200,202,200,201,200,200,197,197,197,196,195,199,158,207,206,207,201,202,231,210,173,131,93,79,79,62,150,216,200,202,202,201,201,202,201,201,200,202,200,196,196,206,205,208,194,214,233,201,163,120,91,74,68,60,120,214,204,204,203,205,207,202,186,174,165,160,183,201,196,207,208,209,194,228,224,192,153,113,90,66,63,76,70,129,218,213,209,195,174,157,161,157,147,127,96,181,202,207,211,198,210,233,217,182,140,107,88,56,65,79,85,76,145,179,158,148,160,162,158,137,118,128,128,184,203,210,207,196,230,228,209,167,131,100,80,53,81,89,99,103,95,106,133,161,165,144,105,106,166,203,208,204,201,213,201,218,234,222,198,159,126,97,77,62,95,104,111,110,111,119,138,137,116,103,115,190,214,205,203,203,203,201,212,231,222,213,190,151,113,91,79,75,101,113,115,113,106,107,102,104,146,189,209,210,206,207,206,205,203,200,220,224,217,208,177,136,102,90,78,91,112,118,113,103,91,81,128,198,216,213,208,207,208,207,207,207,206,212,218,217,202,180,147,114,95,89,81,99,109,113,100,85,110,167,216,219,212,210,210,211,210,207,206,205,206,210,211,199,177,155,131,105,93,86,89,97,105,102,77,134,214,220,214,214,214,211,211,212,210,209,208,207,206,209,199,176,152,143,116,97,92,92,94,92,86,90,152,220,218,215,215,215,215,214,214,212,211,211,211,209,208,201,190,158,124,114,93,90,95,94,88,87,132,195,225,215,216,217,216,216,216,215,215,215,214,213,211,211,203,196,177,141,106,86,84,91,95,84,127,184,224,224,216,219,218,217,217,217,216,216,216,215,215,214,213,213,181
20,128,131,134,135,139,143,145,147,149,151,152,154,156,155,158,161,160,160,160,162,162,162,162,161,162,162,163,162,131,133,135,138,142,144,146,149,150,151,152,156,157,157,161,143,150,165,164,162,164,163,165,165,164,165,165,165,131,134,137,141,144,146,148,151,151,152,154,158,160,157,178,120,106,137,139,170,167,168,168,167,166,167,167,166,133,137,140,141,144,147,151,152,153,155,159,161,161,160,189,126,136,141,88,167,169,168,168,167,166,168,169,166,134,137,140,142,145,149,151,153,153,156,160,161,160,162,183,125,153,159,82,158,172,169,169,169,169,170,170,168,135,138,141,144,148,150,152,154,156,158,160,161,159,169,199,140,157,165,91,158,176,172,172,172,172,171,171,170,137,140,142,145,148,150,154,156,159,159,161,164,158,180,197,138,175,168,98,152,178,172,173,173,173,173,173,171,137,140,143,146,149,151,154,157,160,161,151,155,166,182,171,131,179,162,93,145,182,173,175,173,172,174,173,171,138,141,144,147,150,154,156,157,160,166,151,96,139,196,159,122,185,149,86,150,183,176,176,175,175,175,173,172,139,141,146,149,151,156,158,157,158,175,152,113,80,159,147,121,186,145,89,162,180,177,179,176,176,175,174,173,140,142,145,150,152,155,157,166,142,144,162,149,136,96,93,104,157,137,90,167,180,178,179,177,177,177,176,175,140,143,147,151,153,152,167,192,138,102,168,176,166,120,65,64,122,123,85,170,181,178,179,178,178,177,177,178,142,144,147,151,153,154,172,156,166,133,97,134,175,153,96,66,97,93,80,176,180,180,181,180,180,178,178,178,142,144,149,153,155,152,179,147,116,110,44,47,163,183,136,73,74,83,74,174,182,181,182,182,181,180,180,178,142,144,149,153,156,155,176,141,109,104,69,65,126,200,161,100,64,75,73,174,183,181,182,180,180,179,180,179,143,144,148,153,155,155,183,177,145,115,83,96,110,200,182,130,76,61,65,175,184,181,182,180,179,180,179,178,143,146,150,155,157,156,196,167,124,104,95,113,129,200,183,144,91,53,59,173,186,182,183,181,180,180,180,179,144,148,149,154,158,158,193,161,127,117,119,116,185,216,165,141,98,52,60,178,186,184,185,183,181,180,180,181,145,147,151,156,158,161,201,170,139,129,129,133,217,211,168,134,104,55,66,183,185,184,184,183,181,182,182,180,146,149,152,157,159,161,202,177,151,123,142,164,215,196,174,134,104,56,77,190,183,184,184,183,181,182,183,182,146,149,152,156,160,161,205,186,156,138,139,179,210,179,168,127,101,53,94,193,182,184,184,183,183,184,183,182,145,148,153,157,162,159,201,188,161,166,140,184,205,178,163,132,94,52,107,195,181,184,184,184,183,184,183,182,145,149,153,157,161,159,188,196,176,183,158,168,194,169,157,132,91,49,106,196,183,186,185,186,185,185,184,182,145,150,154,158,160,161,172,197,185,186,171,160,179,165,155,131,90,51,112,195,183,186,185,185,186,185,184,184,144,149,154,159,160,162,164,192,190,175,157,161,168,157,155,147,91,52,132,195,183,186,185,185,185,186,186,185,145,149,153,158,161,163,162,190,179,162,145,149,164,154,153,147,94,58,159,192,186,187,187,185,185,186,185,184,144,150,155,158,160,163,164,189,169,157,147,144,164,157,148,143,82,74,186,187,187,187,187,187,187,187,186,185,144,150,155,158,161,164,165,194,188,176,155,150,169,148,137,135,66,104,198,185,188,188,188,187,187,187,187,187
13,199,201,204,206,206,208,210,212,214,213,214,215,216,217,216,216,216,216,215,215,216,215,215,216,216,214,214,212,199,202,206,207,207,210,214,215,216,215,217,217,218,219,218,219,218,217,217,216,216,215,216,217,215,216,216,216,202,205,208,208,212,214,215,216,217,217,218,219,221,221,221,221,222,220,219,222,217,216,218,218,218,218,219,218,204,207,209,210,212,215,216,217,218,219,219,221,223,224,222,223,222,228,230,214,224,218,221,220,221,221,221,219,208,209,211,213,215,215,217,220,220,221,221,222,224,223,223,223,225,255,245,174,191,232,215,223,224,223,223,222,208,211,213,215,216,218,221,222,223,223,224,224,222,226,226,221,240,255,230,158,186,255,180,162,226,224,224,223,210,213,215,217,217,219,223,223,224,224,226,224,228,255,239,205,255,255,243,149,208,245,183,107,185,233,224,224,211,214,217,218,220,222,224,225,226,227,227,219,250,255,255,210,220,217,190,105,213,240,170,99,157,241,224,227,212,217,219,220,223,224,226,226,226,229,229,242,234,255,255,240,167,103,110,95,207,195,116,81,166,241,227,230,214,217,220,222,225,226,226,228,229,225,254,255,220,203,255,252,194,98,89,139,220,182,131,93,172,242,231,232,217,219,220,223,226,227,228,232,228,235,255,255,255,176,239,253,191,127,57,103,231,254,248,146,175,243,230,233,218,220,223,225,227,230,231,234,227,255,255,255,255,212,166,226,177,119,65,133,229,243,241,189,183,244,234,237,219,222,226,227,228,232,234,233,231,255,255,255,255,218,124,188,212,124,131,255,255,231,208,194,160,238,236,237,220,223,227,228,231,234,235,231,251,255,255,235,221,173,97,158,235,166,243,255,255,235,198,173,144,235,241,238,222,224,228,231,232,233,236,233,255,255,255,239,206,171,116,86,210,255,255,255,255,226,190,143,167,246,238,238,225,227,230,233,233,233,238,235,253,255,255,241,193,190,151,119,255,255,255,255,242,202,176,130,192,250,240,239,225,228,231,234,234,234,237,235,255,255,255,252,233,202,230,252,255,255,255,255,226,197,166,123,206,252,241,242,226,229,233,235,236,237,241,237,255,255,255,255,255,234,246,255,255,255,255,254,220,187,144,123,229,249,243,243,227,231,234,236,236,240,243,237,255,255,255,255,255,244,242,249,255,255,248,247,218,162,118,163,255,243,246,245,230,233,235,238,240,240,242,242,250,255,255,255,255,240,245,251,255,245,234,229,185,129,114,232,254,246,248,247,233,235,236,239,241,243,248,243,239,255,255,248,227,219,238,245,255,246,231,204,150,92,162,255,247,250,249,249,233,235,238,239,242,240,190,177,173,165,146,127,122,118,120,126,140,132,133,131,106,117,255,253,249,251,250,250,232,236,240,240,245,232,150,151,151,141,123,116,110,100,90,84,63,52,49,44,42,68,167,250,253,250,251,251,234,237,240,242,246,244,162,150,152,137,123,119,113,99,92,82,71,61,54,45,40,38,22,115,255,248,253,252,236,238,240,242,247,252,170,147,146,133,123,118,110,96,86,77,65,56,49,44,38,45,25,160,255,253,254,254,234,237,240,242,244,253,175,149,145,133,132,121,106,92,82,75,65,54,48,42,42,24,112,255,254,255,255,255,234,237,239,241,244,251,178,143,146,131,128,119,102,85,76,72,63,54,48,43,39,40,232,255,255,255,255,255,234,237,240,243,246,252,176,142,141,131,123,112,97,84,75,72,64,55,48,43,27,99,255,253,255,255,255,255
7,187,190,192,194,196,198,199,200,201,201,202,202,203,204,205,203,202,202,203,202,202,202,200,198,197,196,193,193,190,192,195,197,199,199,201,204,204,203,204,205,205,205,205,206,205,204,205,204,205,205,203,202,200,197,196,195,193,195,197,198,200,202,204,205,206,205,206,206,206,205,205,206,207,207,206,205,205,206,205,204,203,200,199,197,193,196,198,200,202,205,204,205,208,207,208,208,208,208,208,209,209,209,209,208,207,208,207,206,205,203,201,200,196,197,199,202,204,205,207,208,210,209,209,210,211,212,212,213,213,211,211,211,210,210,210,208,206,205,203,203,197,199,202,204,205,208,210,210,211,212,212,213,213,214,213,213,214,213,213,213,213,212,210,209,208,206,205,204,198,202,205,207,208,210,211,212,213,213,214,215,215,215,214,214,214,215,215,215,215,213,212,211,210,210,208,206,200,204,207,209,210,211,212,214,215,215,216,215,215,217,218,217,217,218,217,217,216,215,214,213,212,212,210,208,204,205,208,210,212,213,215,217,217,217,219,220,217,218,219,220,220,219,219,219,218,217,215,215,213,212,212,211,203,206,209,212,214,216,215,216,221,221,210,216,219,219,219,220,220,222,222,221,219,218,215,215,217,214,214,212,205,209,211,212,213,216,220,227,234,229,191,173,196,211,210,208,212,216,209,214,207,214,200,240,222,208,217,213,206,209,211,216,222,230,231,233,234,232,216,163,164,188,197,197,194,186,189,192,191,197,184,193,178,213,219,216,207,215,226,233,234,232,228,224,216,215,200,161,150,163,182,193,194,196,190,180,185,186,173,181,176,206,218,213,230,235,234,234,227,222,215,203,199,214,216,172,144,139,144,156,169,176,165,172,179,181,176,191,184,191,187,200,242,233,229,221,212,209,204,205,209,219,216,175,149,156,155,148,136,121,158,167,164,164,160,162,172,172,182,217,238,229,219,207,199,195,197,197,206,213,191,159,140,146,163,170,159,138,172,238,226,222,222,222,220,223,227,225,233,227,219,206,197,196,197,191,192,207,204,164,129,127,144,148,152,139,154,237,229,230,230,228,228,227,225,224,229,226,221,212,204,201,203,202,200,213,215,174,149,157,156,148,145,117,212,238,230,232,230,229,228,227,227,225,223,218,216,214,211,206,203,201,200,206,205,176,160,170,166,159,141,169,243,232,232,231,231,230,230,229,228,226,208,206,209,212,213,208,201,197,197,189,169,157,137,133,142,150,126,221,234,233,234,231,231,231,229,228,228,233,125,139,170,203,211,199,188,176,163,152,147,145,87,82,107,127,156,240,234,235,234,233,230,230,232,237,233,168,46,47,63,98,146,164,152,160,170,198,223,236,144,104,136,161,224,238,236,236,235,234,233,240,221,199,164,107,45,40,35,33,35,72,207,231,239,241,237,241,226,201,226,240,240,237,237,237,235,240,239,191,131,112,96,87,38,34,32,34,13,95,253,230,234,234,235,237,238,242,238,236,237,237,236,235,239,219,139,97,106,103,92,82,32,29,25,27,8,84,251,231,236,236,237,238,237,236,237,238,238,237,235,241,243,145,88,66,82,87,79,77,29,29,28,32,0,77,246,225,232,234,236,237,238,238,239,240,242,241,244,225,140,117,98,61,55,76,72,68,38,38,34,22,0,45,149,140,144,149,150,154,157,160,161,164,166,164,176,147,73,104,95,52,46,58,63,60,49,43,26,3,0,38,118,111,110,112,113,114,114,115,117,116,115,119,137,119,63,95,89,48,41,51,55,57
3,116,126,134,136,142,149,152,155,159,162,165,167,169,170,172,171,175,164,171,173,173,174,174,174,173,173,174,174,117,128,135,137,144,151,154,157,160,163,167,170,171,173,174,174,193,145,151,176,175,175,175,174,173,173,174,174,119,129,136,139,147,153,157,161,163,166,170,173,175,176,177,178,205,149,123,178,179,178,178,175,175,174,174,174,122,131,137,141,148,156,160,164,167,170,174,177,180,181,181,181,211,155,109,183,172,177,180,179,179,177,177,175,125,134,139,144,152,159,163,167,171,175,179,181,183,185,188,195,195,146,111,197,155,157,185,183,182,181,181,180,128,138,143,147,155,162,166,170,174,180,182,189,194,176,198,224,203,185,148,184,165,126,185,187,186,185,185,184,132,140,146,152,160,166,170,175,176,176,201,224,220,175,138,155,195,207,172,131,160,118,151,192,191,189,189,188,136,144,150,156,163,169,176,200,196,175,197,184,194,201,172,89,119,155,114,101,144,140,118,162,196,194,193,192,140,148,152,159,168,173,197,198,178,180,154,111,107,178,185,109,111,114,93,146,159,154,123,130,199,198,198,197,142,151,156,163,172,181,209,156,108,148,105,89,70,90,115,87,93,77,78,175,193,187,137,129,202,202,202,201,145,153,158,165,175,186,215,168,114,157,135,122,96,102,92,74,77,76,81,181,218,204,146,133,206,205,205,205,148,155,160,169,179,186,220,185,142,170,183,162,135,122,110,103,94,90,88,167,221,206,146,138,209,208,208,208,152,158,163,172,183,188,221,206,178,163,160,133,131,137,136,141,121,130,129,166,217,198,137,136,212,211,212,211,154,161,165,175,185,192,225,209,170,148,142,130,136,146,161,161,171,189,208,208,198,169,125,132,215,215,215,214,157,164,169,178,188,195,228,210,165,138,132,138,145,160,179,189,211,219,226,211,172,133,117,129,217,218,217,217,160,167,172,181,191,196,228,222,184,149,134,147,152,170,199,209,221,228,223,196,152,116,104,145,223,222,221,221,163,169,174,184,193,198,225,236,202,168,140,138,153,182,210,218,230,234,218,181,138,107,99,195,226,225,224,223,165,170,176,186,196,201,220,242,218,189,158,139,153,180,209,226,239,232,205,164,129,94,139,227,228,228,227,225,167,172,179,189,198,204,216,244,232,204,175,156,157,171,203,230,237,225,190,148,115,94,193,231,228,229,229,228,170,174,182,192,200,207,214,240,239,219,189,177,171,169,199,227,228,209,171,132,99,119,226,231,230,231,232,232,173,177,185,194,203,209,213,228,237,232,207,191,181,168,204,216,217,188,150,116,89,170,236,233,235,233,216,186,175,180,187,196,206,212,215,216,230,233,218,202,186,167,195,206,195,163,127,98,106,222,237,225,196,145,95,66,177,182,190,199,208,215,218,214,220,227,220,207,188,165,165,190,173,142,112,89,169,222,167,111,75,56,50,44,180,184,192,201,209,216,219,220,215,227,221,207,188,164,150,170,163,131,104,110,181,113,64,49,47,44,44,38,183,186,194,203,211,217,220,223,215,229,216,199,183,158,145,154,149,123,97,103,94,61,59,38,35,50,41,32,184,188,196,205,212,218,221,224,219,227,202,182,177,158,148,144,134,121,92,60,45,50,66,40,22,43,48,30,182,187,195,206,213,217,221,224,214,229,213,194,192,174,153,143,127,120,83,56,42,31,58,51,19,28,51,42,183,188,197,207,214,219,222,227,209,228,228,211,210,180,157,143,124,117,77,53,48,23,38,57,28,18,39,50
21,191,193,196,198,200,201,202,203,204,204,204,204,203,203,202,201,199,198,198,198,195,194,193,192,190,189,187,186,192,194,197,199,201,203,204,205,206,207,207,206,206,205,205,202,205,201,199,199,199,196,194,194,193,192,189,187,193,196,199,200,202,204,207,208,209,208,208,208,208,207,206,203,182,200,203,201,200,198,196,196,195,193,193,189,194,198,200,200,203,207,209,209,211,210,210,210,209,208,209,217,131,172,211,202,203,200,197,197,196,195,196,193,195,199,202,202,205,208,211,211,211,211,211,211,211,208,216,207,127,180,211,202,203,205,201,200,199,197,196,196,196,200,203,204,206,210,211,212,212,212,212,213,214,207,225,199,130,195,211,205,204,188,197,204,201,200,197,196,198,201,203,206,208,209,211,213,215,214,216,215,215,210,232,194,136,205,211,208,192,138,159,211,200,201,200,198,200,203,206,209,210,211,214,215,216,216,216,217,216,216,234,183,142,212,211,204,183,130,172,210,201,202,201,200,200,203,207,209,212,214,215,217,217,217,219,217,214,220,229,172,141,216,211,199,173,131,202,207,204,204,202,201,201,205,209,211,213,216,216,217,218,219,218,220,219,229,223,155,145,221,205,197,156,155,215,206,206,204,203,202,203,206,209,211,214,216,218,217,220,221,220,186,184,244,219,140,171,220,190,187,132,187,215,208,208,206,205,203,204,207,210,212,215,217,218,220,222,220,228,188,134,172,173,123,190,211,194,158,138,215,212,211,210,207,206,205,204,208,211,214,217,217,219,222,221,226,228,223,190,149,117,117,201,200,190,131,179,221,212,211,210,209,207,205,206,210,212,215,217,219,221,221,226,238,226,244,230,168,118,119,152,164,153,135,215,215,215,214,212,211,209,206,207,210,214,216,219,221,223,224,238,192,213,213,213,162,122,115,121,131,117,176,224,215,215,215,214,211,209,208,208,211,215,218,221,222,221,234,228,171,184,149,203,185,134,114,113,117,129,216,220,217,215,215,215,215,210,208,208,213,216,219,222,224,222,240,224,184,144,105,184,206,148,118,112,108,168,230,219,219,218,218,216,215,213,211,210,214,218,220,223,223,227,242,195,162,149,119,192,218,166,133,116,107,198,229,220,220,220,219,217,215,213,212,211,216,218,221,224,223,236,241,200,189,157,180,250,210,183,152,120,109,203,230,222,222,220,219,218,217,215,213,212,216,218,221,226,223,243,243,215,175,169,248,238,193,178,153,126,122,209,230,225,224,220,221,220,219,216,215,212,216,218,222,225,225,250,255,209,174,209,255,219,184,161,152,129,133,221,227,225,224,224,224,222,219,216,215,213,217,220,223,225,225,255,240,199,192,221,255,217,194,152,138,127,151,232,226,225,225,224,223,221,219,217,216,214,217,221,223,227,227,249,224,226,192,226,251,208,187,155,132,123,178,237,227,227,226,225,224,222,221,219,217,211,215,218,221,226,228,236,242,242,191,240,231,194,168,147,136,126,204,235,228,226,226,225,225,223,220,219,216,210,214,218,222,225,227,232,243,229,185,220,214,178,150,137,129,138,223,231,227,225,224,224,223,222,219,218,215,212,215,218,222,226,227,235,230,210,187,201,204,175,155,140,121,160,235,229,229,227,225,226,224,222,220,218,216,211,215,219,223,226,229,233,226,207,207,207,202,197,156,136,116,180,237,229,230,227,226,226,225,223,221,219,216,211,216,219,222,225,228,231,230,234,232,213,194,195,154,128,115,198,237,230,229,227,227,225,224,223,222,219,218
15,87,83,81,81,83,85,85,86,89,98,110,122,130,139,145,150,150,154,158,164,169,172,176,179,180,182,186,187,86,82,81,82,82,84,86,86,89,100,111,123,131,140,147,151,151,155,159,165,169,172,177,180,181,184,187,189,86,82,82,81,81,84,88,87,90,100,112,123,131,140,146,151,152,155,160,165,170,174,178,181,183,186,188,191,86,83,81,81,84,84,83,85,90,102,114,123,132,141,146,151,153,156,161,166,170,176,180,182,185,187,189,192,86,83,82,83,81,87,115,98,93,101,114,124,133,141,150,153,154,155,160,166,172,177,180,183,186,187,189,192,86,84,84,84,71,164,168,131,125,121,117,118,132,141,142,143,151,158,165,170,173,175,179,183,186,188,190,194,87,85,83,82,74,158,144,119,120,120,106,119,123,125,121,115,120,126,140,158,173,181,186,186,186,188,192,194,87,84,83,84,78,96,108,90,97,90,85,116,107,108,103,115,127,118,117,121,134,144,157,175,193,189,193,195,88,84,83,81,83,83,83,83,86,82,84,92,87,86,85,119,125,120,122,125,129,121,105,103,139,199,192,195,87,85,82,81,83,86,86,86,92,104,115,114,115,112,101,109,107,105,98,118,141,133,116,113,81,138,205,193,88,86,82,81,82,83,84,85,91,105,116,131,138,145,150,138,106,91,115,143,146,142,114,123,116,70,161,209,88,84,80,82,83,83,84,84,92,105,118,126,135,156,157,138,121,126,184,141,152,126,133,143,124,102,81,182,87,83,81,81,82,83,84,84,92,106,116,131,181,166,129,112,108,105,174,121,110,134,172,130,149,133,85,88,86,83,80,79,80,81,82,82,91,107,107,163,200,127,104,110,112,83,112,91,80,195,144,124,163,144,108,70,85,82,79,79,79,79,81,81,89,107,107,157,174,107,108,128,134,127,103,77,99,173,97,114,164,154,117,83,85,82,80,78,78,79,80,80,92,107,108,147,155,88,120,137,145,137,106,94,103,108,104,127,147,139,113,83,83,81,78,78,78,79,80,81,92,106,108,152,199,114,111,139,150,135,96,90,102,104,119,127,117,97,90,79,82,82,78,78,77,79,80,80,90,106,108,154,171,189,147,113,109,98,85,93,99,102,109,120,112,79,73,74,83,81,78,78,76,78,80,79,88,107,105,195,175,163,181,132,92,55,59,88,104,107,117,130,113,80,74,74,83,79,77,78,76,78,79,80,89,104,112,149,167,180,169,155,132,76,26,37,63,115,116,119,97,77,76,77,73,70,68,68,68,69,70,72,82,97,111,119,130,153,145,148,125,113,58,38,50,110,129,108,89,85,88,88,122,117,114,110,107,102,101,102,108,116,122,130,138,141,125,114,130,159,105,44,68,80,126,137,122,110,101,94,126,122,121,120,118,119,122,123,118,116,114,112,116,120,122,120,121,186,124,70,87,71,87,110,110,101,91,84,110,109,109,107,107,109,110,108,108,110,104,100,104,107,109,112,101,127,108,110,116,108,105,94,83,83,80,75,115,116,117,115,114,115,117,117,115,116,117,115,117,118,118,118,120,115,118,118,121,121,130,130,103,85,79,74,116,118,120,118,117,116,117,117,117,118,118,118,117,118,116,118,119,119,119,120,117,115,130,143,126,106,87,95,117,119,120,119,119,116,118,120,119,120,119,119,120,119,117,118,119,119,119,119,118,117,113,128,170,116,119,127,117,117,118,116,117,117,117,118,117,118,118,118,119,118,118,119,121,120,119,119,118,118,117,116,208,195,168,158
16,140,146,150,151,156,161,166,170,174,178,182,185,188,190,191,194,195,197,199,201,202,203,205,206,206,205,206,207,141,147,150,152,156,162,167,171,174,179,183,186,189,192,193,195,197,199,200,203,205,206,207,208,207,207,207,209,144,149,151,153,157,163,168,172,176,181,185,188,191,193,195,197,199,201,202,204,206,207,208,209,209,209,210,210,144,150,152,155,159,164,170,174,178,183,186,189,192,195,197,199,201,203,205,206,207,208,209,209,211,212,213,213,145,150,153,156,161,167,171,176,180,184,187,189,193,196,198,200,202,204,206,207,208,208,210,210,212,214,214,214,147,153,155,157,163,168,172,178,182,186,188,199,198,199,208,200,199,206,208,209,209,209,211,212,214,216,216,215,150,155,157,159,164,169,175,180,183,189,202,237,225,233,236,205,180,180,202,211,212,213,213,214,215,217,218,217,150,156,157,160,166,171,176,181,183,223,243,251,248,249,236,206,176,147,142,174,202,214,215,216,217,219,220,219,151,157,158,161,167,172,177,182,208,248,253,253,250,239,221,193,157,141,122,121,137,173,209,218,218,219,220,220,153,157,159,162,169,175,177,206,248,252,253,251,236,218,199,168,143,143,123,124,118,120,150,206,221,221,222,222,153,157,160,163,169,175,177,224,249,252,251,242,220,190,164,139,136,135,126,133,123,118,115,140,208,224,223,222,153,157,160,164,170,176,179,234,251,251,238,221,196,159,134,126,114,134,132,138,128,122,117,113,147,221,224,223,154,159,162,165,172,178,182,239,255,242,213,190,158,131,113,90,80,135,135,138,130,124,118,117,114,155,207,226,156,161,163,167,173,179,181,235,255,242,208,162,123,99,57,38,72,132,136,141,130,123,120,120,101,57,118,228,158,162,164,167,174,180,181,227,255,244,202,141,108,69,26,29,71,130,144,146,129,120,121,113,65,41,125,232,159,162,164,168,174,180,182,212,255,240,184,124,93,64,39,54,73,117,159,141,127,119,116,77,43,40,167,235,158,163,165,168,174,181,185,201,250,224,161,116,104,100,80,86,90,132,177,128,124,117,83,36,43,45,197,233,159,164,165,169,175,181,185,203,244,198,137,122,122,115,107,101,103,185,174,123,118,81,27,32,40,56,215,233,161,165,166,169,177,183,186,216,240,176,135,131,123,121,120,101,162,211,164,124,87,34,31,41,32,73,226,233,162,165,166,171,178,185,185,223,236,155,156,117,86,97,100,115,225,218,160,111,61,40,41,34,30,101,235,234,162,165,167,171,179,185,186,232,217,134,178,115,91,94,87,129,244,229,173,92,54,41,33,31,32,146,239,235,161,164,167,171,178,184,195,234,171,145,189,118,108,113,101,121,233,231,182,79,46,37,31,35,35,169,239,235,160,163,165,170,178,183,194,190,155,190,182,119,119,122,118,112,189,221,180,80,34,32,34,38,39,168,239,235,161,164,167,171,179,185,189,191,195,204,173,121,125,128,123,102,100,153,125,49,30,33,37,40,42,173,240,235,162,165,167,172,179,185,190,194,198,205,166,123,123,123,102,67,43,44,42,35,36,37,38,39,42,176,241,236,163,165,167,172,179,185,190,196,200,206,159,119,114,104,69,43,41,43,44,45,43,42,39,38,37,135,242,237,163,166,168,173,180,186,192,197,201,207,163,122,105,87,57,48,54,56,57,56,51,46,41,40,36,136,242,237,163,166,170,173,180,186,192,197,202,200,150,123,107,90,68,60,64,64,65,61,55,50,44,42,37,154,243,239
4,112,113,115,116,117,119,121,125,125,127,128,129,130,132,134,134,135,136,138,139,139,140,139,138,140,140,142,143,111,113,115,117,117,121,122,125,126,128,128,129,131,131,133,135,135,137,138,139,140,140,141,142,142,142,142,144,112,114,117,117,120,121,123,125,126,127,128,130,134,131,129,131,138,137,138,138,140,141,142,144,144,144,144,144,112,114,118,119,120,121,124,125,128,135,130,120,122,147,135,109,103,141,136,143,141,140,143,144,144,143,145,146,113,116,119,122,122,120,121,125,128,138,146,127,79,116,144,102,67,89,113,98,134,144,144,145,145,145,146,147,114,118,119,121,120,123,154,142,120,80,133,128,74,80,132,92,57,63,100,58,87,154,144,146,146,146,146,145,115,118,120,122,117,142,178,152,107,66,111,126,76,61,128,120,53,64,105,70,75,153,144,145,147,147,147,148,115,117,121,124,119,156,144,157,115,71,87,141,91,38,122,135,61,64,128,75,72,157,143,147,149,149,148,149,116,120,122,123,122,165,129,127,139,91,50,140,101,15,80,147,108,81,104,81,81,132,149,147,149,149,149,150,117,120,122,122,128,163,129,110,102,73,28,66,78,16,43,134,117,101,94,98,99,81,145,149,149,150,151,151,118,121,125,120,136,161,135,119,98,79,68,47,74,61,58,104,121,117,104,90,101,96,115,156,148,151,152,153,120,121,126,118,157,160,130,105,97,84,67,71,96,77,87,100,111,104,85,107,135,110,89,154,150,152,152,154,119,122,125,122,168,150,124,100,86,69,64,79,96,87,102,121,102,69,102,152,140,124,83,142,155,152,154,153,120,124,123,132,178,148,125,102,90,74,72,82,91,102,111,127,128,132,128,128,126,118,82,118,160,153,153,153,121,125,122,138,181,150,130,110,88,76,72,85,100,114,118,131,148,147,137,126,108,93,75,86,161,153,153,153,122,125,120,146,185,150,135,117,92,76,78,82,104,121,139,146,149,141,135,121,105,86,63,70,159,155,155,154,124,127,118,152,186,149,139,121,104,89,87,85,114,141,155,153,145,133,128,118,99,82,59,78,163,155,156,155,122,128,119,156,188,158,145,131,119,97,91,107,126,157,161,154,145,131,118,108,91,78,52,119,165,153,157,158,126,129,121,152,189,166,151,140,131,114,102,124,130,151,157,150,143,130,113,96,77,60,68,159,157,155,157,158,127,127,124,142,193,173,159,142,135,124,113,123,135,152,155,145,142,133,112,89,69,47,124,163,155,157,157,158,126,128,127,131,192,178,157,139,131,122,119,125,137,154,154,139,135,133,110,96,59,82,164,156,156,156,157,158,127,128,128,126,189,178,151,144,135,128,129,131,143,148,142,134,124,121,113,92,59,145,162,158,158,157,158,159,126,128,128,127,191,172,150,155,145,139,136,133,140,143,130,125,115,113,107,65,114,165,156,158,158,158,158,160,127,129,127,133,192,161,157,162,152,149,143,133,137,139,127,118,109,99,73,97,162,157,157,158,158,159,160,160,127,129,124,141,191,172,161,157,152,155,147,131,130,132,123,111,98,72,81,162,156,158,158,158,159,160,160,161,126,129,123,149,193,182,157,150,154,159,148,124,122,121,117,102,86,55,138,160,155,158,158,159,159,159,160,161,126,129,122,159,191,182,157,148,155,154,141,122,113,116,111,95,64,82,166,154,156,157,159,159,159,159,160,161,127,130,122,167,192,183,154,146,151,150,135,120,111,121,105,87,53,119,165,156,156,158,160,159,159,159,160,161
13,151,154,158,160,161,163,164,165,167,169,169,169,170,171,171,171,171,171,171,170,170,168,167,166,166,166,164,163,152,155,159,161,162,164,165,167,168,170,171,170,171,172,172,172,171,173,172,172,172,170,169,168,168,167,166,164,152,156,160,162,163,164,166,169,171,171,172,174,173,174,175,176,178,173,174,177,176,171,171,171,170,168,167,167,153,157,160,163,164,166,167,170,172,172,173,175,175,175,172,152,151,179,171,152,155,175,172,172,171,170,169,168,154,157,161,164,165,166,169,170,172,173,175,177,175,177,165,137,107,140,154,126,92,138,181,172,172,171,171,169,154,158,162,165,166,167,170,171,173,174,175,177,175,182,183,151,133,91,129,137,98,90,180,174,173,172,172,170,155,159,163,165,166,168,171,173,174,175,176,177,177,179,189,158,133,87,109,137,105,78,170,178,174,173,172,171,156,160,163,166,167,169,172,174,175,176,178,178,179,179,178,158,123,90,86,116,95,71,165,180,174,174,174,173,156,160,163,167,168,170,173,175,176,178,178,179,176,185,174,157,120,98,78,107,91,71,167,180,175,176,175,173,156,161,165,168,168,171,173,175,177,179,180,171,133,126,128,146,144,113,85,120,105,80,176,179,178,176,175,173,157,162,165,167,169,172,174,176,178,178,188,163,121,104,93,144,170,129,90,111,108,66,155,185,177,177,176,175,157,162,165,168,170,173,174,176,178,175,166,159,132,127,93,96,158,121,83,94,91,72,101,185,178,178,177,177,158,162,167,169,171,173,176,175,178,167,114,117,152,132,115,59,68,63,78,92,87,101,82,145,189,177,177,177,158,162,166,170,171,172,174,179,192,153,119,97,140,140,119,89,41,57,69,91,115,117,98,95,185,180,179,177,157,162,167,170,172,174,174,188,171,147,132,119,107,140,122,108,59,71,107,115,127,120,107,78,169,185,179,178,158,164,167,171,172,173,177,191,152,141,140,122,99,123,125,100,64,71,137,150,142,109,100,79,171,185,180,179,159,164,167,172,172,173,178,188,158,119,119,116,99,85,102,79,64,85,146,148,144,114,84,89,185,182,181,179,159,164,168,172,174,174,178,179,164,139,110,94,73,50,81,94,78,117,163,146,137,113,73,112,194,181,182,179,160,165,168,172,173,175,178,180,178,157,128,103,89,81,91,99,107,167,165,140,125,108,67,141,193,182,182,180,160,165,169,173,174,177,178,178,176,165,143,131,113,111,123,140,160,173,155,134,116,99,70,167,189,183,183,182,160,165,170,173,173,177,177,179,172,159,144,126,110,109,129,174,168,159,143,126,109,86,80,186,187,184,184,182,160,165,170,172,173,176,178,181,162,149,143,127,115,116,122,159,162,153,133,114,103,74,99,196,185,186,184,182,160,165,169,173,175,177,179,184,167,152,144,130,125,120,120,155,160,150,127,104,95,61,138,197,186,186,184,182,160,166,171,173,174,176,178,183,181,152,144,138,128,116,114,141,150,138,112,93,76,74,185,189,187,185,184,183,161,166,171,173,174,176,179,182,186,171,147,137,124,116,110,126,139,127,102,90,60,131,198,186,187,185,184,183,161,166,171,174,174,177,179,181,183,186,163,137,121,112,112,119,132,124,102,86,68,176,192,188,187,187,184,183,160,165,170,173,174,175,179,181,183,183,172,148,134,128,130,127,129,127,99,76,100,194,187,187,187,185,184,182,158,164,168,171,172,174,178,179,182,177,175,155,146,144,138,132,129,119,96,70,131,197,186,186,185,184,183,182
4,210,210,210,210,210,210,209,209,207,205,205,203,204,206,203,202,202,198,197,196,195,195,194,194,192,189,187,187,211,211,211,211,211,211,209,210,210,207,208,209,209,207,203,200,202,204,197,196,197,196,196,195,193,191,188,187,214,214,213,213,212,211,211,212,211,210,198,183,187,202,205,175,143,165,207,201,202,202,195,195,194,192,189,189,215,215,214,213,213,213,213,213,212,213,203,195,180,158,158,173,163,121,166,188,161,176,200,194,195,193,191,190,216,215,214,215,215,215,214,214,206,205,201,193,189,181,136,112,153,157,120,114,123,99,164,203,193,194,193,192,217,216,216,216,215,216,215,210,197,197,183,150,106,161,144,87,115,155,121,85,114,104,110,204,194,195,194,193,218,218,217,218,217,217,216,212,212,199,188,160,101,121,146,94,96,134,103,83,129,124,92,185,200,196,194,193,218,218,217,217,217,216,218,211,166,133,163,180,120,114,154,143,126,124,91,94,137,127,90,181,203,195,194,193,220,219,219,218,218,218,217,219,180,118,79,188,162,130,154,174,175,130,126,127,126,148,107,178,202,196,194,194,219,219,220,219,219,219,219,210,161,109,57,120,163,114,117,136,164,137,129,133,127,141,102,140,210,197,196,194,220,220,221,222,220,218,221,198,158,138,126,93,93,104,92,86,110,142,133,127,123,120,109,105,205,199,196,196,222,221,223,223,221,219,221,202,188,165,127,97,83,101,97,102,92,107,122,116,113,133,130,90,182,204,198,197,223,223,223,223,222,221,222,209,189,153,121,92,90,97,102,123,115,90,76,122,165,159,139,94,148,209,197,196,224,224,225,224,224,222,221,211,174,138,108,87,89,101,123,127,126,124,136,146,162,165,151,116,114,207,197,195,225,226,226,224,225,221,221,210,180,153,119,95,101,110,123,139,137,157,183,182,157,183,173,133,96,196,201,197,227,226,226,226,226,223,220,215,192,160,126,98,98,110,137,152,159,167,183,191,184,164,158,128,82,185,204,197,225,225,226,227,227,225,220,210,195,169,138,102,97,116,140,156,173,181,191,185,172,160,133,107,85,197,203,198,225,225,226,226,228,225,218,205,202,181,150,119,102,103,137,167,180,195,197,183,162,145,124,78,127,213,199,199,226,226,226,226,228,227,216,199,202,187,157,133,113,101,139,181,192,201,194,176,152,137,109,75,188,207,201,200,226,226,226,226,227,227,215,195,193,184,160,138,119,109,140,191,192,193,183,163,142,127,86,121,216,201,203,202,226,226,227,227,228,229,217,192,188,187,172,145,128,120,150,192,187,181,169,150,131,114,77,182,211,204,202,201,226,227,229,229,228,230,221,191,190,191,177,150,139,125,157,186,181,175,157,133,120,85,110,216,206,206,204,202,227,228,229,228,228,230,228,201,193,196,182,159,142,122,153,179,174,166,144,119,105,73,183,216,208,208,205,203,228,230,229,228,229,230,231,206,202,200,180,164,146,123,142,171,161,148,125,110,70,130,222,208,208,207,205,203,228,229,228,230,230,230,228,213,208,195,180,169,153,131,134,151,143,127,111,83,91,211,212,209,208,206,204,204,229,229,230,230,230,230,228,215,209,192,177,163,149,138,128,135,131,113,96,66,185,219,210,210,209,208,206,204,231,230,230,230,229,231,222,214,204,193,182,174,163,154,135,127,124,108,72,128,225,211,212,210,208,207,206,204,230,230,231,231,230,230,213,213,206,195,184,182,166,157,139,124,117,95,76,194,220,215,213,210,209,207,206,204
24,163,165,166,168,169,172,173,173,173,175,173,174,173,174,172,171,172,172,171,170,170,169,168,166,166,166,165,165,163,165,168,170,171,172,174,175,174,175,174,175,174,175,173,174,174,173,172,172,171,171,170,170,168,166,165,164,165,166,168,169,175,174,174,176,176,176,176,176,176,176,176,176,175,173,173,173,173,172,171,171,169,166,165,165,166,168,169,174,155,171,176,177,177,178,178,177,177,177,177,177,176,174,173,173,172,173,171,171,170,169,167,167,168,169,172,186,118,160,181,177,177,178,179,178,178,177,177,176,177,176,175,175,174,173,173,172,171,169,169,170,169,170,177,175,109,162,181,178,179,179,181,182,179,177,179,178,178,177,176,176,175,174,173,172,171,170,170,171,169,169,180,172,109,161,182,179,180,180,176,172,183,180,179,180,179,177,176,178,178,179,177,173,172,172,171,171,171,170,181,177,112,162,186,180,183,186,182,138,143,182,182,180,180,179,178,168,156,142,167,177,173,172,172,171,171,172,181,174,114,150,181,179,153,178,191,167,112,121,183,182,180,179,160,128,114,99,140,182,174,173,173,173,172,172,180,171,170,168,168,194,135,144,197,172,115,89,141,189,181,174,131,100,108,147,171,179,176,175,175,174,173,173,180,189,204,184,187,199,153,130,194,165,106,84,101,177,189,160,110,103,174,185,180,178,177,176,177,175,173,176,180,181,210,187,193,201,154,103,157,131,99,73,100,169,174,131,99,155,188,178,179,179,178,177,177,176,175,177,179,187,213,188,201,207,152,100,62,122,154,141,162,170,139,104,122,189,182,182,181,181,179,179,177,177,175,178,178,208,206,172,176,190,131,88,102,191,189,177,164,157,123,99,170,189,183,184,183,182,180,179,178,178,176,177,183,196,182,159,125,127,107,151,209,200,182,165,148,136,114,126,192,185,185,185,184,183,182,180,179,178,178,176,192,194,180,162,138,101,173,222,208,199,179,153,133,121,106,164,194,185,185,185,185,183,183,182,180,179,179,176,201,209,187,162,153,176,226,212,206,194,166,139,122,114,112,186,190,187,186,186,185,185,184,183,182,180,179,177,208,212,192,180,191,222,220,212,202,181,152,124,121,100,141,197,188,188,189,188,186,186,185,183,182,181,179,177,211,214,199,199,217,223,214,206,189,163,133,118,111,110,186,194,190,190,189,188,187,186,185,184,184,182,179,177,211,218,203,210,225,213,195,185,169,143,123,115,104,171,198,191,191,191,189,188,188,187,186,185,185,183,181,179,209,224,207,200,206,199,181,165,151,126,117,101,163,200,192,192,191,191,190,190,189,188,187,186,185,184,181,179,201,217,199,197,205,203,185,167,147,122,95,122,198,194,196,194,192,192,190,191,191,189,188,187,186,185,180,182,191,197,185,199,204,200,185,163,142,111,80,158,201,195,195,195,194,192,191,190,191,190,190,189,188,185,180,184,185,193,199,205,198,192,184,159,135,100,90,182,200,196,196,197,196,194,192,191,191,191,190,189,188,186,179,182,182,202,210,196,194,188,177,155,134,97,100,192,196,195,195,195,194,192,192,192,191,191,190,188,188,187,178,181,181,206,207,186,198,179,169,155,131,103,94,187,196,194,195,195,193,191,192,192,191,189,189,189,187,186,179,182,180,212,208,185,200,175,172,155,127,104,89,177,200,196,196,196,193,192,191,192,191,189,189,189,186,185,178,182,182,213,210,190,200,182,169,152,126,106,86,168,201,195,197,194,195,193,191,191,191,190,190,188,188,186
4,163,162,163,161,160,160,158,158,158,157,156,156,156,153,152,151,149,149,147,145,143,142,140,138,136,137,136,134,165,165,164,163,161,162,161,161,159,158,157,157,156,154,152,152,150,149,148,147,146,143,142,140,139,137,137,136,165,165,164,164,165,163,162,162,162,162,160,158,158,155,154,153,151,148,148,148,148,145,144,143,141,138,137,136,167,166,166,165,166,166,164,165,164,162,161,161,160,161,160,154,155,157,149,147,147,147,146,144,141,140,139,137,169,170,169,168,167,166,166,165,163,163,163,151,140,144,143,151,128,123,152,153,150,150,145,144,143,142,140,139,170,171,170,168,168,167,167,165,164,165,163,150,141,135,111,82,90,82,90,144,139,143,152,143,144,142,141,138,171,171,170,169,170,171,169,168,166,151,152,133,93,59,117,63,22,92,76,52,56,50,108,153,143,143,141,139,173,172,171,171,171,171,170,169,163,160,151,137,100,24,73,74,8,67,74,21,27,42,34,150,145,144,143,140,172,173,173,172,173,172,171,171,168,121,78,107,133,52,61,93,83,71,52,12,59,73,22,114,155,144,144,142,173,173,174,173,173,173,173,169,172,132,51,5,141,104,65,95,124,103,59,62,59,83,44,100,159,144,144,143,174,175,174,173,175,175,173,174,160,102,44,0,45,80,27,51,68,99,74,73,62,73,45,68,160,144,146,145,176,177,176,176,175,175,174,175,152,108,81,53,14,24,25,15,3,57,91,71,60,59,58,35,148,149,146,144,177,178,178,176,175,177,176,173,158,138,102,59,20,24,42,31,35,29,43,53,58,90,87,23,117,157,145,144,177,178,178,176,177,178,176,173,163,126,79,46,19,24,34,46,68,51,23,42,127,118,95,37,79,161,144,145,179,180,179,179,180,179,174,176,161,119,77,35,17,24,40,62,66,55,64,83,98,119,114,66,49,158,146,146,181,181,180,181,181,180,176,174,167,136,95,48,24,35,50,70,68,76,114,135,114,118,122,76,26,145,150,146,182,181,182,183,183,181,179,172,161,138,105,58,26,33,55,82,93,103,124,130,125,109,87,62,13,137,153,147,182,182,182,183,183,182,180,172,160,149,119,78,38,30,57,85,109,128,139,134,113,97,70,30,24,152,150,148,181,182,182,182,182,182,180,171,155,155,128,92,59,33,43,102,126,145,143,130,103,82,57,0,81,163,148,148,183,183,183,182,182,184,182,168,150,150,133,100,67,43,46,119,137,144,137,118,90,70,35,12,148,154,151,150,183,183,183,182,181,182,183,165,145,143,141,112,74,60,58,125,138,136,127,104,77,57,6,81,167,151,153,150,184,183,183,183,183,182,185,164,143,146,143,117,86,70,71,126,134,131,112,84,65,36,13,150,158,155,152,150,185,183,182,185,184,183,185,171,150,155,148,122,95,68,69,124,125,118,96,65,50,0,84,171,154,156,154,152,185,183,182,185,184,186,186,176,154,160,143,123,104,73,63,113,113,99,75,53,17,21,161,161,158,157,155,154,185,185,185,188,186,185,187,176,165,160,142,127,108,84,65,90,95,77,58,34,0,126,170,158,157,157,155,154,185,186,187,187,186,185,187,177,166,155,139,123,106,94,75,73,81,62,42,0,75,177,160,160,158,157,156,154,186,186,187,188,188,186,184,170,165,155,142,132,120,106,88,65,66,48,13,26,168,165,164,162,160,158,156,154,186,187,187,188,188,189,172,160,166,156,139,135,119,100,90,65,53,35,0,114,177,162,164,162,160,158,156,155
12,134,136,138,141,143,143,148,151,152,153,153,153,155,153,154,156,154,153,155,155,154,153,153,153,151,151,151,150,136,139,141,143,145,146,150,153,155,155,154,155,156,157,157,157,157,155,158,158,157,155,155,154,154,152,152,152,137,140,143,145,147,148,151,152,155,157,157,157,158,159,157,159,159,160,159,160,159,160,159,157,156,155,154,154,137,140,144,146,147,150,152,154,155,157,158,160,161,159,159,162,162,160,159,161,161,162,161,159,158,158,156,155,139,143,146,148,150,152,155,156,157,160,161,162,162,160,166,165,162,162,165,163,160,161,160,160,159,159,159,157,140,143,146,149,153,154,157,159,159,161,162,160,163,161,147,158,169,153,128,153,166,161,160,162,162,162,162,160,142,145,148,151,153,156,159,162,163,161,163,159,185,184,124,117,195,146,78,85,177,165,170,162,163,163,163,163,144,147,150,152,154,155,159,161,163,163,163,161,217,196,137,107,189,142,77,35,128,114,123,171,163,165,165,165,147,150,153,154,157,158,159,161,161,165,174,125,138,182,128,95,181,135,69,45,148,102,32,130,173,164,166,168,146,149,152,155,158,160,163,165,158,197,187,142,70,127,122,82,175,135,56,90,162,114,42,70,181,166,167,167,146,150,152,155,159,161,164,163,177,218,203,154,87,69,146,81,194,177,90,121,169,127,46,59,180,169,168,167,148,153,154,157,160,162,165,159,200,183,196,157,91,53,163,86,162,164,63,131,209,145,38,63,181,169,170,170,150,152,156,159,160,165,166,165,211,175,180,158,90,34,80,67,31,103,81,130,154,78,10,72,183,169,170,171,152,155,157,160,162,167,162,196,211,154,164,152,93,40,13,16,11,137,182,164,130,101,22,82,185,169,173,171,153,156,159,162,164,166,166,213,191,133,139,146,95,50,34,39,137,170,156,145,119,105,49,107,188,172,174,171,154,156,160,164,166,166,178,213,180,149,113,135,140,50,23,164,197,164,145,128,91,73,47,112,187,173,176,173,155,157,161,165,168,164,195,213,184,164,121,95,109,51,110,213,195,160,139,118,80,67,36,124,189,175,177,175,157,160,161,166,171,164,203,212,185,157,145,104,101,127,195,210,192,152,130,103,71,59,31,144,187,177,178,176,158,161,164,167,172,166,204,211,187,166,152,122,126,136,201,209,183,144,119,94,65,58,20,130,190,175,179,178,160,161,164,168,172,167,201,216,193,175,164,137,113,150,206,201,170,141,108,80,59,50,20,156,187,176,178,178,160,163,167,169,172,169,195,216,194,176,163,143,120,176,196,179,157,133,101,71,57,23,96,192,179,179,179,180,161,165,168,170,173,171,188,213,186,171,150,133,144,183,166,161,141,116,88,65,30,79,189,183,181,181,182,180,163,165,168,170,173,171,194,209,179,169,146,144,167,179,152,151,128,101,80,45,73,185,185,185,184,183,183,182,164,166,170,172,177,169,204,208,188,179,162,160,178,176,150,139,116,96,63,51,172,189,185,186,184,184,184,184,165,168,171,173,178,169,221,217,203,181,169,176,177,160,144,112,97,77,39,125,192,186,187,186,185,185,185,184,165,169,172,173,175,175,226,215,213,187,179,177,162,149,123,91,84,41,94,190,190,190,188,187,186,186,185,184,165,170,173,176,172,180,214,199,204,180,176,162,155,129,105,88,64,52,169,194,190,192,190,188,187,187,186,186,167,170,174,178,169,186,209,179,175,162,161,165,146,112,107,82,42,103,192,192,192,192,191,190,188,188,188,186
10,75,77,81,85,94,108,119,127,131,136,141,146,150,156,163,153,153,163,164,165,165,165,165,164,164,163,161,160,75,78,81,86,96,110,121,128,133,137,142,148,152,161,174,147,137,161,165,165,166,166,165,165,164,163,162,160,76,78,82,87,98,112,122,130,134,138,144,150,154,165,179,148,126,157,167,168,168,168,167,166,165,165,163,162,77,80,83,88,99,113,124,131,135,140,147,152,157,167,182,158,125,153,170,170,170,170,169,168,167,166,165,164,78,81,84,89,100,115,126,133,137,143,149,154,159,167,187,173,131,149,172,172,172,171,171,170,170,168,167,166,79,82,86,90,102,117,128,135,139,144,151,157,161,169,192,181,137,144,173,174,174,174,173,173,172,171,169,167,80,82,87,91,104,119,130,136,141,146,153,159,164,170,194,184,140,138,172,176,176,176,176,175,174,173,171,170,80,83,87,92,105,120,132,138,142,149,155,161,165,172,197,189,142,129,170,179,178,178,178,176,175,175,173,172,80,83,87,92,106,122,134,140,144,151,159,160,164,173,199,193,145,120,165,180,180,180,179,178,178,177,175,174,81,84,88,94,108,126,139,142,142,155,167,142,149,174,193,183,141,111,157,182,182,182,181,180,179,179,177,177,82,85,89,95,110,139,155,132,115,136,150,112,119,166,185,167,132,103,147,183,184,184,183,182,181,181,180,179,82,85,89,96,112,145,152,111,89,99,119,95,84,132,162,150,132,105,140,183,186,186,185,184,183,182,181,181,82,85,89,97,113,133,135,111,96,94,110,96,73,81,110,120,130,111,129,181,187,187,186,186,184,184,183,182,83,86,89,98,113,129,138,137,132,126,121,106,87,72,75,88,109,106,112,171,189,188,188,187,186,186,185,184,84,86,90,98,114,130,143,150,158,151,122,115,108,96,80,76,88,91,95,159,191,191,190,189,188,187,186,185,84,86,90,99,115,131,144,153,167,155,114,109,128,126,108,88,79,78,84,150,192,193,192,191,190,189,187,186,83,86,90,100,116,133,149,157,165,166,133,100,118,147,134,113,91,73,74,133,190,195,194,193,192,190,189,187,84,86,89,99,117,134,160,165,152,165,144,106,121,173,155,133,108,75,65,109,183,196,195,195,194,192,191,190,84,87,90,100,118,136,170,180,147,140,138,118,148,195,169,142,118,82,64,98,180,198,197,197,196,194,193,192,84,87,90,101,119,137,165,182,151,122,140,142,161,199,171,141,120,90,68,96,180,200,199,199,197,196,194,193,84,86,90,101,120,137,154,169,156,124,149,170,166,190,173,143,118,93,72,96,180,201,201,200,199,197,196,195,84,86,90,102,121,137,150,161,158,132,156,184,152,169,173,148,116,90,74,97,180,202,202,201,200,199,197,196,84,85,90,102,121,138,150,158,167,156,162,150,119,148,166,143,112,87,75,102,184,203,203,202,201,200,198,196,84,86,89,102,122,139,151,157,170,184,170,132,124,154,157,133,105,84,76,113,190,204,204,203,202,201,199,198,82,85,89,102,121,139,150,156,165,185,188,166,151,158,145,121,100,85,79,124,195,204,204,203,202,201,199,199,81,83,87,102,121,138,150,155,160,167,183,174,148,145,135,118,104,92,84,134,197,204,204,203,202,201,200,199,79,81,86,101,121,138,150,155,144,108,154,174,147,147,146,140,125,103,87,142,200,205,205,203,202,201,200,199,79,80,85,100,120,137,150,153,109,51,134,184,170,162,155,155,137,106,84,144,202,206,205,204,202,202,201,199
12,158,157,159,161,162,163,166,165,166,166,166,165,166,165,164,164,163,163,162,162,162,161,160,159,159,157,157,157,159,160,162,162,164,165,166,166,167,167,168,167,167,166,166,167,165,163,164,163,162,163,162,161,160,160,159,158,160,161,162,164,166,167,167,168,168,169,169,169,169,169,169,169,167,165,166,165,164,164,163,163,162,162,160,160,161,162,164,166,167,167,169,169,169,169,170,171,169,169,169,168,168,168,168,167,166,166,166,165,163,163,162,161,162,164,166,168,168,168,170,172,171,171,172,173,173,174,171,169,170,172,174,167,167,167,168,166,165,164,163,162,163,166,167,169,169,171,172,174,173,174,174,172,170,163,170,175,165,141,141,175,172,171,168,168,167,166,165,163,166,167,169,170,172,173,175,174,175,176,174,181,171,131,112,169,158,118,66,142,158,154,174,170,167,167,166,165,168,169,171,173,175,175,176,177,176,177,178,187,169,131,71,127,154,116,80,86,133,87,105,173,168,168,168,167,168,171,173,175,176,175,177,177,178,176,154,180,158,116,67,111,182,133,99,82,121,90,57,126,179,167,169,169,170,171,174,175,176,177,178,177,192,179,124,149,169,125,55,124,220,147,109,104,128,92,60,106,182,169,170,170,171,172,175,176,177,178,176,194,210,179,139,105,203,159,61,111,203,126,85,151,142,103,52,119,184,170,171,172,173,174,175,177,179,182,177,200,202,184,140,85,182,146,84,94,127,97,100,182,127,77,46,131,183,173,174,172,174,175,176,179,180,180,181,211,184,161,118,78,77,97,77,82,129,168,161,129,86,50,56,162,180,175,175,174,174,177,179,181,181,180,204,206,176,118,93,77,40,48,134,166,166,167,152,121,116,64,102,188,175,176,175,176,176,177,179,181,182,183,218,196,157,120,117,63,40,140,201,192,170,154,130,112,116,72,118,191,176,178,177,176,177,178,181,183,182,185,219,199,134,138,141,74,124,208,199,191,169,148,133,110,99,59,128,192,178,180,179,177,178,180,182,184,181,193,222,199,169,152,130,150,195,202,199,185,167,142,125,104,82,50,147,190,180,180,179,178,178,180,182,185,182,200,221,205,187,175,137,168,195,203,190,179,160,129,115,95,75,42,138,193,179,182,181,180,180,181,184,186,184,199,218,208,193,178,145,179,191,194,178,167,146,121,106,85,69,40,136,194,181,183,182,181,182,183,184,188,186,195,213,206,199,175,147,167,185,175,169,161,132,108,92,75,57,47,172,188,184,185,182,182,182,183,185,187,185,191,213,207,199,162,139,159,167,171,160,146,117,97,83,68,40,131,194,185,187,185,185,183,182,182,185,187,196,194,201,200,175,140,139,159,165,172,159,135,118,97,77,54,133,195,185,188,188,186,185,184,181,182,187,187,137,182,202,184,171,165,160,158,173,175,153,121,114,91,50,132,203,187,188,188,188,188,186,184,183,182,193,161,54,95,201,199,189,175,155,139,161,162,128,103,99,58,98,198,189,190,189,188,188,188,187,186,183,185,189,104,84,64,100,158,152,141,134,125,148,136,106,95,68,73,191,194,190,191,191,189,189,188,188,187,181,193,160,75,84,80,25,60,61,60,56,58,80,86,83,72,54,169,200,191,193,192,192,191,190,189,189,188,181,187,111,76,80,87,25,33,53,49,38,32,28,31,39,26,48,178,196,193,193,192,192,192,190,189,189,187,189,157,78,79,77,84,20,18,44,45,37,34,32,30,24,18,4,112,206,190,192,192,192,190,189,189,188,186
0,202,203,206,208,209,214,215,216,218,218,219,223,226,226,224,224,225,226,227,227,226,227,227,227,227,227,225,225,202,205,209,212,213,215,217,218,218,221,220,223,225,226,226,225,227,227,228,227,227,227,227,227,228,227,227,228,202,205,209,214,215,216,220,219,222,226,223,226,226,224,224,229,227,225,228,230,230,230,232,232,230,230,232,229,204,207,210,213,215,217,220,222,224,225,225,227,232,229,238,228,227,233,249,230,223,255,215,221,238,234,232,230,206,210,213,215,216,219,222,225,225,234,255,229,205,255,255,214,181,249,255,225,189,255,213,186,244,233,234,233,209,211,215,215,219,223,221,228,221,255,255,240,167,222,255,221,162,183,255,232,170,217,242,166,231,241,234,236,210,213,217,219,222,219,250,254,209,255,255,251,186,184,255,234,185,161,255,235,163,161,246,190,176,225,240,236,212,215,217,222,221,238,255,255,203,238,255,249,211,186,255,238,185,179,255,222,164,108,217,224,187,167,211,243,214,217,219,222,217,255,255,255,227,213,255,245,217,176,255,251,173,185,255,197,152,60,159,236,218,154,166,253,216,218,221,221,226,255,255,255,245,196,255,250,210,173,255,252,157,149,231,175,120,53,187,254,229,161,177,255,218,219,222,217,242,255,255,255,255,187,245,252,198,164,255,233,155,104,170,162,90,82,252,255,236,156,210,254,219,221,226,216,255,255,246,255,220,151,209,234,182,142,198,194,149,91,166,154,78,182,255,249,201,147,241,249,220,225,222,230,255,255,221,233,173,110,167,201,169,118,136,173,113,91,199,200,209,249,247,224,160,164,255,246,221,226,217,255,255,255,211,209,182,126,147,194,175,97,107,160,130,214,255,255,246,220,213,183,149,186,255,248,225,230,222,246,255,255,249,202,180,147,135,217,183,81,92,204,255,255,255,252,230,199,175,165,132,205,255,251,227,233,227,243,255,255,255,234,195,173,177,213,178,153,236,255,255,255,255,243,213,180,160,148,146,248,255,254,228,232,226,251,255,255,255,251,234,200,202,222,245,255,255,255,255,255,240,219,189,162,147,137,228,255,255,255,226,231,227,253,255,255,255,255,254,230,218,250,255,255,255,255,255,251,221,191,163,152,125,200,255,253,255,255,227,231,229,248,255,255,255,255,255,249,236,248,255,255,255,255,255,235,205,169,151,129,160,255,255,255,255,255,228,231,233,244,255,255,255,255,255,246,238,240,255,255,255,252,239,217,178,155,132,133,245,255,255,255,255,255,229,231,236,237,255,255,255,255,251,231,230,236,245,252,244,228,204,187,158,133,121,232,255,255,255,255,255,255,232,238,242,240,255,255,255,255,250,229,230,241,245,245,226,204,171,152,127,97,207,255,255,255,255,255,255,255,230,225,225,211,227,243,220,209,199,190,204,221,217,213,187,171,148,123,92,188,255,255,255,255,255,255,255,255,173,153,152,144,130,122,120,106,94,82,82,78,67,66,62,66,75,73,101,248,255,255,255,255,255,255,255,255,142,144,140,131,128,125,113,99,91,74,65,50,40,39,35,31,29,36,44,58,187,255,255,255,255,255,255,255,150,147,145,135,131,121,110,98,86,72,64,52,45,42,39,36,34,35,41,8,124,255,255,255,255,255,255,255,176,144,148,137,134,118,107,95,77,69,62,54,42,40,37,32,31,31,33,29,237,255,255,255,255,255,255,255,196,148,142,138,132,118,103,92,79,68,57,52,44,41,37,32,29,33,17,111,255,255,255,255,255,255,255,255
2,173,173,175,176,176,176,177,177,177,176,176,175,175,174,174,174,173,172,171,169,168,167,165,163,161,160,158,157,175,175,176,177,178,178,178,178,178,178,177,176,175,175,175,174,172,170,169,169,169,168,166,165,163,162,160,159,177,177,178,179,179,179,180,180,180,179,179,176,167,161,162,160,154,147,141,148,164,168,167,166,165,163,162,160,178,179,179,180,181,181,181,181,181,181,178,169,155,149,149,148,139,121,108,109,136,159,165,167,166,165,163,162,180,180,181,182,183,183,183,183,184,183,174,159,152,149,144,143,136,109,100,107,116,123,140,163,168,166,164,163,181,182,183,184,184,185,185,185,186,184,175,164,153,139,127,121,113,92,93,103,104,91,104,154,169,168,165,164,182,182,184,185,186,187,187,188,186,180,174,163,144,118,99,97,114,130,139,130,116,105,126,163,170,169,166,165,183,184,185,186,187,188,189,189,183,170,161,144,113,79,67,107,163,177,178,174,167,162,168,173,171,169,167,166,184,185,187,187,188,189,190,189,181,164,143,110,76,57,68,137,182,184,182,181,179,178,176,175,173,171,169,167,185,186,188,189,189,190,191,189,180,159,119,76,54,50,94,167,186,185,183,182,180,179,177,174,171,171,170,168,186,187,189,190,191,192,192,188,179,155,108,62,49,54,120,182,187,187,185,183,181,178,165,147,142,159,170,170,187,188,189,191,192,193,192,186,177,149,102,61,55,62,126,185,189,188,186,184,181,165,131,106,100,133,168,171,188,189,190,192,193,194,192,185,174,141,92,64,61,67,134,187,190,189,187,185,169,135,110,99,95,131,169,171,188,190,191,193,194,194,191,186,172,138,94,73,63,68,140,189,191,190,188,175,137,109,103,95,104,152,173,173,189,191,192,193,195,195,190,185,172,140,101,77,62,63,116,176,189,190,181,146,102,92,94,91,129,171,176,174,190,191,193,194,195,195,189,183,170,139,104,78,62,61,77,119,160,175,150,113,90,84,84,104,160,177,177,175,191,192,194,195,195,195,188,181,166,138,107,78,63,62,67,77,101,117,101,93,91,84,98,146,176,179,177,175,192,194,195,196,197,195,187,181,166,137,105,77,62,62,67,73,80,81,80,84,86,104,150,178,181,180,178,176,192,194,195,196,197,194,186,185,171,136,104,79,63,63,68,73,79,81,77,80,101,153,181,183,182,180,178,176,193,194,195,196,197,192,185,187,169,132,103,80,64,64,69,74,80,82,76,86,143,182,185,183,182,180,179,177,194,195,196,198,197,190,186,186,162,126,102,82,65,65,72,77,80,79,81,127,178,188,186,185,183,181,180,179,194,195,197,198,198,189,186,180,154,123,102,83,65,66,75,79,80,75,104,171,190,189,188,186,184,182,180,179,194,195,197,198,197,188,184,172,147,121,102,82,65,67,76,77,73,80,144,189,192,190,188,187,185,184,181,180,194,196,198,199,197,186,178,163,139,117,98,79,64,66,74,72,73,119,180,194,192,191,189,187,186,184,182,181,194,196,197,198,195,184,171,156,134,113,95,77,64,65,69,72,110,172,194,194,193,191,190,187,186,184,182,180,194,196,197,198,194,181,165,150,127,107,90,75,63,63,75,113,170,195,196,195,193,192,190,188,186,185,183,181,194,196,197,197,192,178,161,146,124,103,85,70,61,86,138,179,196,198,196,195,194,193,191,188,186,185,183,181,194,196,197,195,190,175,158,143,123,101,81,64,68,138,190,198,199,198,197,195,193,192,191,188,186,184,182,180
1,119,123,126,127,130,132,134,134,135,136,137,137,138,137,138,139,138,138,138,137,138,138,138,138,137,136,135,134,122,126,129,130,133,135,136,137,137,139,139,140,140,140,140,140,141,142,141,140,141,141,141,142,141,139,138,138,124,129,131,133,135,137,139,140,140,141,142,142,143,142,146,145,143,146,145,144,144,145,145,145,144,143,142,141,127,131,134,136,139,140,143,142,143,145,145,145,147,149,128,135,149,146,146,146,147,147,147,146,145,146,144,142,130,133,136,140,143,144,145,145,146,147,146,149,140,157,120,94,163,151,147,147,148,149,149,149,147,146,146,145,132,136,140,143,144,147,148,147,147,149,147,164,134,121,132,73,122,134,153,149,151,151,151,150,150,149,148,147,135,139,142,145,146,148,149,150,150,151,149,168,133,116,144,68,107,85,156,153,154,154,155,154,153,152,151,149,138,142,144,147,149,152,152,154,153,154,148,171,142,111,160,86,118,84,135,160,155,155,156,156,155,154,153,152,142,144,146,149,151,153,155,155,155,161,136,131,163,100,159,98,116,103,113,165,156,158,157,156,157,156,155,153,143,147,149,152,154,154,155,158,156,168,133,101,169,95,146,112,128,144,96,162,160,161,160,160,159,158,157,155,144,147,150,153,155,156,158,160,157,172,138,106,166,100,148,131,111,158,96,146,166,161,162,161,161,160,159,158,145,149,151,154,156,158,160,161,159,177,140,113,184,116,139,146,96,162,113,122,172,163,163,162,162,162,161,160,147,151,154,155,158,159,161,163,161,175,138,106,178,100,104,147,82,166,135,104,172,164,165,165,164,165,163,161,148,153,155,157,159,161,162,165,162,175,153,89,150,110,105,137,104,147,129,96,162,168,167,166,165,165,164,163,149,153,156,158,160,162,164,166,164,180,143,88,125,169,128,127,159,129,107,87,144,174,166,167,168,167,166,165,149,153,157,159,161,164,166,166,166,174,149,145,108,138,143,167,160,119,106,89,107,179,167,169,170,168,168,167,151,154,158,161,163,164,166,166,170,173,151,145,105,121,176,174,155,164,124,87,76,171,171,170,171,169,168,169,151,155,158,161,164,166,166,166,173,180,139,120,128,154,150,121,118,190,176,134,69,152,176,171,173,173,172,170,150,154,159,161,164,167,166,167,173,192,142,114,114,107,96,102,144,174,173,142,96,127,182,171,173,172,172,171,152,154,158,161,162,164,166,166,170,200,160,110,122,122,144,176,187,165,154,123,78,113,183,172,173,172,172,173,153,155,158,161,163,164,167,167,168,195,183,119,139,131,172,191,187,171,145,117,60,114,184,171,173,173,172,173,152,155,159,161,164,166,167,168,168,192,197,135,151,134,164,197,195,173,134,105,58,121,185,172,174,174,172,172,152,155,158,160,163,165,167,169,167,185,195,155,165,144,149,200,194,161,127,94,59,146,183,174,175,174,173,172,155,158,162,163,165,167,169,169,168,174,192,176,166,155,134,195,187,153,121,84,61,163,179,176,175,174,175,174,139,144,148,154,157,162,164,165,169,167,187,191,168,151,122,176,179,142,110,76,76,183,184,185,180,175,174,175,73,75,76,81,86,86,89,92,96,92,170,184,157,143,119,149,162,129,98,76,85,147,143,143,161,182,177,172,74,74,74,74,75,75,75,75,77,65,149,175,151,139,117,131,152,125,90,76,72,68,91,139,166,165,174,171,75,78,85,83,82,81,78,79,82,72,146,174,154,134,122,130,150,119,76,71,92,145,185,187,163,138,138,169
6,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,251,250,249,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,255,255,255,255,255,255,255,255,255,255,255,255,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,199,245,255,255,255,255,251,255,254,253,253,255,241,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,181,170,189,204,206,209,212,206,204,209,209,211,214,219,255,255,255,255,255,255,255,255,252,254,251,243,239,215,180,166,145,146,201,218,232,240,248,255,255,255,255,255,255,255,255,255,255,251,243,242,246,242,234,232,235,205,165,165,176,169,221,255,255,255,255,255,255,255,255,255,255,255,255,255,250,240,239,239,241,240,241,252,255,244,170,142,159,184,163,191,255,255,255,255,255,255,255,187,255,255,255,255,246,233,225,224,232,241,251,253,249,231,187,167,160,163,178,162,190,255,255,255,255,255,188,153,255,255,255,255,251,238,228,224,227,231,241,255,238,197,188,191,185,172,160,164,168,255,255,255,255,255,163,162,255,255,255,255,252,245,236,230,231,227,226,244,253,207,157,164,199,200,181,148,202,255,255,255,255,171,150,130,255,255,255,254,253,250,241,234,235,234,236,254,246,201,170,151,165,191,201,168,197,255,238,223,173,137,133,113,186,202,227,251,255,255,252,242,238,233,233,249,246,205,179,188,179,162,171,181,172,180,156,144,133,123,110,103,84,90,118,185,255,255,254,247,243,237,229,221,225,208,206,209,196,183,172,147,140,141,154,148,133,120,102,95,80,71,64,69,163,252,229,215,210,205,204,187,183,166,167,197,203,202,182,140,100,116,135,126,121,118,112,98,70,64,65,66,57,130,227,230,238,246,255,255,181,126,131,154,191,181,163,146,105,92,118,117,111,112,120,104,62,57,53,53,48,207,255,255,255,255,255,255,255,207,200,188,183,123,150,144,100,83,90,110,105,103,114,112,57,50,48,33,82,190,175,179,180,182,186,189,197,200,200,198,166,101,141,142,95,75,80,95,97,99,109,112,51,47,45,37,73,161,154,154,155,154,158,160,154,150,176,184,146,88,134,131,89,70,83,85,90,92,100,105,53,50,54,31,77,178,167,168,168,168,163,165,169,178,159,145,131,90,122,119,86,66,74,85,84,86,92,99,62,59,50,21,109,179,166,167,170,171,166,166,167,151,133,115,115,97,110,114,83,69,69,78,78,82,87,94
24,156,158,160,161,163,166,167,167,168,170,167,168,167,168,167,166,166,167,166,164,164,163,162,160,160,160,159,158,157,159,162,164,165,167,169,170,168,170,169,170,169,169,168,169,168,167,167,166,166,165,165,164,161,159,158,158,158,160,162,163,170,169,169,170,170,171,171,171,171,171,171,171,170,168,167,167,167,166,165,165,163,160,159,159,160,162,163,168,147,166,171,172,172,173,173,172,172,172,172,171,171,169,168,168,167,167,166,166,165,163,161,161,162,163,166,183,106,153,177,172,172,173,174,173,173,172,172,171,172,171,170,170,168,168,167,167,165,163,163,164,163,164,172,170,96,155,176,174,174,174,176,177,174,172,174,173,173,172,171,171,170,168,167,167,166,164,164,165,164,163,175,166,96,154,178,174,176,175,171,166,179,175,174,175,174,172,171,173,173,174,172,167,167,167,165,165,165,164,176,172,99,155,182,176,178,181,177,129,134,178,177,175,176,174,173,162,149,133,161,172,168,167,166,166,166,166,177,169,102,142,177,174,145,173,187,161,99,109,179,178,176,175,153,117,102,85,131,177,169,168,167,167,166,166,176,166,164,162,162,191,125,135,194,166,102,73,131,185,177,169,121,86,95,138,165,174,171,170,169,168,168,168,175,185,202,180,183,196,145,120,190,159,92,68,88,172,185,153,97,90,169,180,176,174,172,171,171,170,168,171,176,177,209,183,189,198,147,89,149,120,85,56,86,163,169,121,85,148,184,173,174,174,173,172,172,171,170,172,174,183,212,184,199,206,144,86,43,111,147,132,155,164,129,91,110,185,177,177,176,176,174,174,172,171,170,173,173,206,204,166,171,186,120,72,89,187,186,172,157,150,112,85,164,185,179,179,179,178,175,174,173,173,171,172,179,194,178,152,114,116,94,143,208,198,178,159,140,126,102,115,189,180,181,181,179,179,178,175,174,173,173,171,189,192,176,155,129,87,168,223,206,197,174,145,122,109,93,158,191,181,181,181,181,179,178,178,176,174,174,170,198,208,183,156,145,171,226,211,204,191,160,130,110,102,100,182,186,183,182,182,181,181,179,179,178,176,174,172,206,211,189,175,187,222,220,212,200,177,144,112,109,86,132,194,185,185,185,184,182,182,180,179,177,177,174,172,210,213,196,196,217,223,213,205,186,157,123,106,98,97,182,191,187,186,185,185,183,182,181,180,180,178,175,172,209,218,201,209,225,213,192,181,163,134,112,103,91,165,195,188,188,187,185,185,184,183,182,181,181,179,176,174,208,224,205,197,204,197,177,159,143,115,106,87,157,198,189,188,188,188,186,186,185,184,183,182,180,180,177,175,199,217,197,194,203,201,181,161,139,111,80,110,196,191,193,191,189,188,187,187,188,186,184,183,182,181,176,177,187,194,181,197,202,198,180,156,132,99,63,151,198,192,192,192,191,189,187,187,187,187,186,185,184,181,175,179,181,189,196,203,196,189,180,152,125,86,75,177,197,193,193,194,193,191,189,188,188,187,187,185,184,183,174,178,178,200,208,193,191,184,172,148,124,83,86,189,193,192,192,192,191,189,188,188,188,187,186,185,184,183,173,177,176,205,205,182,196,174,163,147,121,90,79,183,194,191,192,192,189,188,189,189,187,186,185,185,183,182,174,178,176,211,207,181,197,170,166,147,116,91,74,172,197,193,193,193,190,189,188,188,187,186,185,185,183,181,173,178,178,212,209,187,198,178,163,144,115,92,70,162,199,192,194,191,192,190,188,188,187,187,186,185,184,182
12,152,153,155,157,157,158,158,159,163,163,162,166,168,167,166,167,168,169,169,170,168,169,168,168,168,168,169,170,153,155,156,157,158,159,159,161,163,161,164,157,153,166,169,161,152,158,170,170,170,171,170,170,169,169,170,170,155,155,156,158,159,159,160,163,163,183,184,148,118,121,181,160,134,110,161,173,172,172,172,171,170,169,170,170,155,156,157,158,159,161,163,160,182,212,193,143,127,98,173,153,134,110,115,136,148,169,171,170,171,171,172,171,154,156,157,158,160,161,163,162,198,185,187,156,156,101,152,167,148,113,88,121,106,115,172,173,174,174,174,173,156,157,159,160,160,162,162,168,208,163,170,169,148,104,136,175,154,106,98,131,115,78,152,179,174,174,175,173,158,159,160,161,164,163,164,175,213,158,173,150,120,86,74,141,120,90,113,148,124,89,148,178,174,175,174,173,158,160,162,163,163,167,158,150,184,120,161,154,130,92,56,81,77,62,158,163,123,89,163,176,175,176,175,174,159,160,162,162,168,187,161,132,116,102,132,157,151,149,129,123,106,69,132,134,101,88,175,176,177,177,175,174,160,162,163,160,197,203,171,144,105,103,125,135,133,149,155,154,152,111,69,72,77,108,182,178,177,176,175,174,161,165,160,181,203,200,183,154,118,105,134,123,99,120,128,158,177,148,102,56,64,137,184,178,177,176,175,175,162,164,160,207,183,184,188,162,126,101,101,110,93,96,106,170,181,171,145,84,63,159,182,179,178,176,175,175,161,161,179,202,158,144,177,165,137,112,90,100,92,107,127,167,177,178,167,122,79,172,181,181,178,177,177,176,161,159,194,191,170,148,142,170,143,111,90,100,91,104,115,158,181,174,173,150,98,174,181,180,178,178,178,177,161,160,204,196,178,147,114,156,150,112,92,89,92,106,130,148,161,177,160,160,111,152,185,178,180,179,179,180,161,162,199,171,143,119,97,111,162,127,116,84,103,109,151,175,166,164,152,142,125,114,186,180,181,180,181,181,161,164,207,183,161,138,119,103,140,147,149,103,112,132,177,184,178,162,143,129,121,100,185,182,181,182,181,180,164,165,212,192,166,144,131,112,109,135,129,117,128,170,193,186,179,160,142,122,104,114,186,182,182,182,181,181,165,167,215,195,172,154,139,115,111,135,110,123,154,193,195,185,176,160,145,121,92,131,188,183,183,182,182,182,165,170,219,199,177,162,148,122,115,144,126,151,186,204,195,183,170,158,143,120,85,145,188,183,182,182,182,182,165,175,224,199,177,167,154,137,119,139,143,165,202,206,194,180,165,156,141,116,82,161,185,184,182,182,182,182,163,177,225,201,183,171,157,150,131,134,156,167,209,202,189,176,163,155,134,109,88,176,186,184,183,183,182,182,164,174,221,205,192,175,163,156,145,131,163,165,211,197,181,173,164,152,130,102,98,183,183,183,184,184,183,183,167,169,210,209,199,183,169,163,154,136,160,165,207,193,172,167,161,147,127,95,119,188,183,184,184,183,183,183,167,165,201,213,199,187,174,169,158,141,148,161,199,190,169,164,159,139,122,85,149,187,183,185,186,184,183,183,167,164,192,217,201,191,179,170,158,145,144,151,188,186,166,159,153,138,115,88,173,186,184,184,186,185,184,184,167,165,183,221,205,190,179,166,152,146,146,147,172,177,156,151,149,138,103,107,188,183,185,185,185,184,184,183,166,164,186,225,201,183,174,163,151,142,146,147,162,167,151,146,149,132,90,142,190,184,185,186,184,184,185,183
20,170,173,175,179,182,184,187,188,192,196,194,195,196,198,200,201,185,203,209,208,207,209,210,209,210,210,211,211,171,175,178,181,183,186,190,191,193,196,197,198,200,198,205,215,148,174,186,199,211,210,210,210,210,211,211,211,172,176,181,184,185,188,190,192,194,196,199,202,202,199,211,222,155,191,163,156,219,210,213,212,212,211,211,212,173,177,181,184,185,189,192,194,195,198,200,200,202,202,214,214,161,215,183,142,216,212,214,214,214,213,214,214,176,178,181,185,187,189,193,195,198,200,201,201,205,202,223,228,174,214,186,142,213,214,214,215,215,215,214,215,175,180,184,186,189,191,194,196,199,200,202,203,206,202,234,227,181,229,194,145,213,217,215,216,215,215,215,216,176,181,185,187,190,192,195,199,200,201,203,205,210,204,233,207,185,231,192,142,212,220,217,217,217,217,218,219,178,182,185,188,190,193,196,200,203,202,210,178,176,214,231,188,183,229,183,139,214,222,220,220,220,220,220,219,178,182,186,188,191,195,198,201,202,209,212,185,128,176,234,181,189,231,174,140,217,222,221,220,221,220,220,221,179,183,187,189,192,197,197,199,199,198,214,187,165,142,166,165,180,215,171,147,221,220,222,221,221,221,221,222,180,184,187,189,193,198,193,224,218,155,188,212,207,187,136,121,145,191,163,150,226,220,223,223,223,223,223,221,180,184,189,191,194,197,202,223,217,179,172,202,219,201,158,107,130,167,148,150,229,221,223,224,224,223,224,223,182,186,191,192,196,197,206,212,187,203,146,107,183,222,190,135,127,145,131,150,232,223,225,225,225,225,226,225,181,186,190,192,196,198,207,219,155,150,134,97,135,232,217,166,116,132,125,146,232,224,226,226,227,226,225,225,182,186,191,194,196,198,207,217,191,174,149,127,138,210,241,194,134,120,119,145,232,225,227,227,228,227,226,226,182,187,192,193,197,198,212,240,202,169,149,141,159,191,253,208,162,121,108,138,233,225,228,228,228,228,227,227,184,188,192,193,199,198,220,233,184,161,154,163,171,220,245,209,176,126,101,139,235,225,228,228,228,228,228,227,184,189,193,195,199,197,223,233,194,172,173,166,194,255,234,196,176,129,96,145,236,226,229,229,229,229,228,229,184,190,195,196,199,197,226,238,200,179,177,177,223,255,234,194,171,137,97,159,237,227,231,231,231,230,229,229,185,191,194,197,200,197,223,244,211,183,178,199,236,247,227,199,170,138,96,173,238,227,231,231,231,230,229,228,185,190,193,195,201,197,223,247,209,198,187,202,246,235,217,197,162,139,98,195,236,227,230,231,230,229,230,230,186,190,194,197,200,200,221,247,216,214,200,201,247,232,213,198,159,131,103,210,235,229,231,230,231,230,230,230,186,191,196,198,200,202,211,243,228,225,219,199,234,222,208,195,163,125,103,209,236,230,231,230,231,231,231,230,186,191,195,196,201,207,205,231,235,229,222,208,215,220,201,195,159,126,107,214,235,231,231,231,230,231,231,230,187,192,195,197,200,206,204,221,238,225,209,202,209,212,193,204,167,123,121,227,232,232,232,232,232,231,231,231,186,192,195,196,201,206,204,221,234,210,200,188,201,211,191,206,168,119,144,237,229,232,232,233,232,232,232,231,187,192,193,197,200,206,207,224,230,205,200,189,200,216,186,202,159,111,178,240,229,233,233,233,233,232,232,232,186,191,194,198,200,207,205,226,242,222,210,198,203,218,176,192,149,112,211,236,231,233,234,233,233,232,232,233
23,153,156,159,163,166,168,171,173,174,175,175,174,175,175,175,173,173,172,171,170,169,168,168,167,166,169,182,193,156,160,164,167,170,174,176,177,178,179,180,179,179,179,180,178,178,177,174,173,172,172,171,170,169,169,155,149,159,164,168,171,174,179,181,182,184,184,186,185,184,183,182,182,178,179,181,177,176,177,176,174,173,172,162,107,164,168,173,176,179,184,186,188,189,190,190,190,190,200,215,214,185,153,169,181,183,180,180,177,176,176,176,141,167,171,176,180,183,186,190,192,194,195,197,222,222,228,233,217,201,184,174,170,169,187,185,182,180,179,178,176,170,174,179,183,186,190,194,196,198,198,210,235,207,181,174,135,147,166,161,135,141,191,188,186,184,183,182,180,172,177,181,185,189,194,197,200,201,201,226,222,201,106,121,160,183,163,142,146,185,195,192,190,188,187,185,183,175,180,183,188,191,195,199,202,204,206,236,219,198,146,177,178,210,206,204,203,201,199,198,196,193,191,188,187,177,181,185,190,194,198,202,205,207,214,231,216,225,232,196,107,189,212,207,204,204,202,201,201,198,195,193,192,179,184,188,193,195,200,204,207,208,222,231,237,245,231,188,106,174,205,213,211,208,206,206,205,203,200,198,199,181,186,189,194,199,202,205,209,209,230,243,241,219,211,172,166,224,159,159,188,205,213,209,208,207,204,206,159,183,188,192,196,201,205,207,211,224,236,231,208,185,200,184,190,218,159,92,81,109,185,216,211,209,210,195,81,186,190,194,198,202,205,212,229,234,222,208,211,217,224,216,176,168,150,94,75,80,125,220,213,211,217,143,69,186,192,196,200,203,220,229,227,225,226,233,236,231,219,200,159,97,137,106,89,86,126,222,217,221,212,94,70,188,194,199,202,206,228,217,214,210,207,218,215,199,184,172,139,76,73,93,92,86,140,228,197,169,122,74,71,189,195,200,203,211,238,222,200,195,202,204,204,199,190,178,138,82,49,84,101,98,106,118,85,61,59,67,69,192,196,200,204,212,231,220,205,205,212,217,212,191,176,161,120,84,61,105,125,110,61,46,62,59,61,65,64,193,197,200,206,209,218,222,219,219,209,207,167,141,144,136,111,82,60,86,121,110,65,43,46,46,64,61,60,193,197,202,207,211,215,221,218,211,191,164,123,76,95,137,112,76,71,94,108,96,57,54,49,44,50,56,51,195,200,204,209,212,212,213,223,222,174,129,98,67,100,146,104,64,80,97,103,78,54,49,50,52,47,46,49,195,199,203,209,211,210,206,230,214,133,97,64,73,104,98,71,79,95,96,94,63,57,55,42,43,50,49,51,195,199,204,208,212,207,203,224,192,134,104,73,50,52,60,79,97,107,105,81,46,54,57,47,34,39,43,56,195,200,205,209,212,202,205,224,191,138,111,80,55,63,89,105,113,113,104,71,37,42,56,56,39,33,39,43,196,201,206,209,213,200,214,228,198,145,118,91,72,74,106,114,116,111,93,58,39,41,47,57,46,31,36,34,199,204,208,213,217,204,211,222,197,155,123,104,82,76,96,113,117,110,79,41,41,41,43,48,54,37,31,35,166,172,177,182,189,184,210,215,193,155,125,114,90,84,84,111,118,106,58,33,42,37,38,42,45,45,27,30,113,114,116,118,115,131,206,207,183,147,128,128,93,88,90,103,112,76,51,43,40,36,30,38,40,42,34,23,121,121,122,123,114,116,207,194,166,136,140,133,94,91,90,100,75,36,49,46,45,39,28,31,37,38,37,21
22,178,180,181,182,182,182,182,183,183,183,184,184,183,183,184,183,183,183,184,183,181,182,180,182,164,90,54,54,180,181,183,183,183,185,186,185,185,186,187,187,186,186,186,186,186,186,186,186,183,183,182,184,169,80,61,68,182,183,184,185,186,187,187,187,187,188,189,188,188,188,188,188,189,189,188,187,187,186,185,183,188,117,62,79,183,185,186,187,187,188,188,190,190,189,190,191,188,190,192,189,190,190,188,191,189,188,187,185,189,150,68,71,185,187,188,188,189,190,192,192,192,192,192,192,197,174,179,195,191,195,183,165,193,190,189,187,187,188,86,61,187,189,190,190,192,192,192,193,194,194,193,191,209,166,155,202,192,199,189,130,192,192,192,190,188,170,103,43,188,189,192,193,193,194,193,194,195,195,195,193,209,164,147,205,194,197,178,127,190,194,193,191,201,138,122,97,189,191,192,194,194,194,196,196,196,197,197,195,214,180,140,202,196,198,182,131,187,197,194,197,193,127,151,159,190,193,194,195,196,195,197,197,198,199,199,195,216,202,138,199,198,200,188,139,189,198,193,204,177,133,153,179,192,193,195,197,198,197,198,199,199,199,199,197,210,219,141,195,202,198,182,142,193,200,197,214,170,137,184,178,193,194,196,196,197,198,199,199,199,199,200,198,207,229,144,178,206,195,182,140,192,201,202,213,155,150,203,156,193,195,196,198,199,199,199,199,199,201,200,200,205,233,175,151,207,198,193,145,190,201,209,201,134,163,206,169,194,195,198,198,199,200,201,201,201,202,202,202,202,228,199,137,195,195,191,147,192,205,212,188,125,182,203,192,196,197,199,200,200,200,201,202,203,202,203,205,200,218,193,154,160,153,187,163,200,213,209,166,134,202,199,198,196,197,198,199,200,200,200,202,203,204,204,205,206,227,202,183,178,110,148,177,191,189,191,141,162,208,198,199,195,195,196,199,199,199,200,201,201,202,204,201,218,211,218,182,189,156,128,133,152,156,153,126,195,203,200,199,195,195,198,199,200,200,202,201,201,202,203,204,218,180,202,180,159,193,179,126,110,139,126,131,207,199,200,198,195,196,199,199,200,201,202,201,202,205,203,212,221,196,185,181,113,171,189,165,120,109,111,139,208,198,199,198,194,196,198,199,199,200,201,201,203,205,202,217,216,180,151,180,114,100,171,187,166,115,94,153,210,200,199,198,199,201,203,204,202,203,205,204,205,208,203,215,218,176,152,156,131,87,144,207,197,161,99,169,209,200,199,198,172,175,178,182,184,188,191,193,196,200,198,209,226,186,156,132,143,153,194,198,210,185,132,141,214,208,208,205,111,111,113,115,115,116,119,119,122,127,119,176,233,208,154,138,165,206,220,208,203,182,151,121,165,163,164,171,115,115,116,116,114,114,114,114,114,117,105,168,235,224,156,145,161,212,222,215,195,171,133,107,111,130,157,183,116,114,114,115,117,117,117,118,118,119,113,167,229,225,159,159,156,214,226,214,191,166,115,142,203,207,213,217,114,114,114,114,115,115,116,117,118,120,112,148,226,224,171,175,152,208,231,203,183,155,107,167,212,200,200,211,113,114,114,113,114,115,115,117,117,118,115,126,216,222,187,176,156,196,221,186,166,135,108,162,182,197,198,200,112,113,114,114,115,114,114,117,117,116,118,114,196,220,193,167,151,174,206,170,142,116,113,181,150,161,184,198,113,114,114,114,118,115,114,116,117,117,118,112,187,207,177,156,140,143,183,154,126,105,126,196,146,147,176,194
6,236,236,237,235,236,237,236,235,235,235,234,233,231,230,229,226,225,223,223,221,219,218,216,213,213,211,206,204,238,238,238,238,239,239,238,238,239,238,238,237,235,233,231,230,229,227,226,224,222,220,219,217,215,213,211,208,239,240,241,240,240,241,241,240,240,241,239,237,237,237,234,232,232,230,229,227,224,223,222,219,218,214,211,210,242,242,242,243,242,242,244,245,244,244,242,241,239,237,237,236,233,234,231,230,229,228,227,225,222,219,214,212,243,243,245,245,246,244,245,246,245,244,244,243,243,244,242,241,240,237,232,225,221,218,210,204,205,204,215,218,245,245,246,246,246,246,247,247,251,252,249,241,239,233,223,213,204,186,166,170,178,179,161,169,229,209,187,222,246,246,247,247,246,248,250,250,233,206,193,182,185,182,177,167,167,161,144,170,168,156,159,159,196,170,172,225,247,248,250,248,247,251,244,220,192,167,163,172,175,186,186,181,161,146,133,124,115,122,127,119,135,169,214,223,251,250,250,251,252,231,209,204,194,162,136,145,153,145,128,123,103,97,116,147,171,193,205,220,231,234,228,224,252,251,254,252,216,196,202,198,181,154,108,92,68,107,183,191,201,208,232,249,248,245,242,238,233,230,228,227,252,255,252,211,192,199,202,198,195,185,147,86,49,95,186,226,255,255,246,243,239,237,237,237,234,233,231,229,255,252,216,198,205,210,210,210,213,194,125,71,69,62,55,64,97,229,250,244,245,242,240,239,237,235,233,230,234,205,205,216,214,215,212,199,206,151,74,59,64,69,74,72,42,135,255,244,247,245,242,240,238,236,234,231,199,205,218,216,212,213,194,187,194,149,106,68,41,57,66,74,66,51,225,255,246,245,243,240,239,236,235,231,206,212,217,219,216,199,187,196,197,200,177,106,52,52,50,51,65,139,245,248,246,246,245,241,239,237,236,234,209,211,219,219,208,189,189,193,189,196,164,90,61,61,66,44,178,255,248,248,248,247,246,243,241,239,237,235,208,217,219,205,192,186,184,180,176,170,128,65,51,57,67,33,175,255,248,251,248,245,246,244,242,240,238,236,211,209,194,191,193,187,186,172,156,157,144,91,39,50,45,119,246,251,248,248,247,245,245,241,239,236,233,233,197,182,180,188,182,171,159,150,155,175,181,118,60,69,42,189,255,250,249,246,246,246,244,240,241,241,244,236,182,182,182,172,154,148,148,157,166,179,166,99,61,57,35,194,255,249,247,247,246,245,245,249,232,206,160,117,182,180,167,154,149,150,150,143,139,135,95,51,64,75,170,255,254,255,255,255,251,247,249,187,101,66,55,52,166,151,136,146,149,146,126,102,84,69,64,147,222,248,255,255,251,210,193,135,117,119,105,65,58,62,43,51,121,91,83,108,120,112,89,73,77,129,196,255,255,254,254,251,147,86,74,32,44,43,37,48,41,54,41,26,69,48,67,95,97,93,87,93,114,138,141,130,133,140,138,109,75,67,65,45,27,49,33,40,31,35,36,18,53,72,133,129,129,130,129,127,126,121,120,119,100,85,67,57,54,52,38,52,17,38,29,27,30,32,24,19,48,109,148,134,136,143,138,131,138,137,139,121,70,48,58,51,41,43,38,45,22,21,27,22,27,30,17,24,56,120,132,129,131,133,129,127,129,124,100,62,53,32,43,49,35,34,32,35,28,9,23,21,26,29,12,25,67,128,128,129,134,132,128,129,120,92,74,35,44,35,28,46,29,29,24,27,30,7,19,21,24,26,14,24
1,34,53,54,58,63,77,93,104,107,113,118,121,124,131,132,135,134,136,138,138,139,140,141,141,141,141,142,140,41,53,55,59,64,80,96,107,111,117,122,123,134,151,99,132,140,140,140,141,141,141,142,142,141,142,142,141,47,54,56,61,66,83,100,109,114,121,127,128,145,161,81,98,107,133,148,146,145,146,145,144,143,144,142,143,52,54,59,62,67,85,103,112,118,121,153,127,118,166,83,90,101,98,158,149,151,151,151,149,147,147,146,145,55,55,59,63,69,89,105,114,120,123,167,131,92,161,82,84,116,72,151,156,155,155,155,154,152,151,150,150,55,56,60,64,73,92,108,117,123,126,167,139,84,145,87,80,117,66,139,166,159,160,159,158,157,156,155,154,57,57,61,64,75,96,112,119,125,129,170,140,72,135,104,85,126,77,125,172,163,164,165,163,161,161,160,159,57,58,62,65,79,100,115,121,132,144,148,145,71,107,99,81,130,84,114,178,167,168,168,167,166,166,165,164,58,58,63,66,81,103,118,120,147,146,128,146,73,92,100,68,124,87,108,181,171,173,172,171,170,170,169,167,60,60,64,66,83,106,121,120,167,141,112,143,72,105,114,70,142,111,106,182,175,175,175,175,174,173,172,171,60,62,65,68,86,108,124,125,170,127,102,158,84,96,111,72,141,124,99,183,179,179,179,178,176,176,175,175,60,62,65,69,89,111,126,128,171,124,88,152,89,71,97,79,134,124,87,180,182,182,181,180,179,179,179,178,60,62,64,69,93,114,128,132,175,127,72,131,82,63,90,95,147,124,84,177,186,184,184,184,183,182,182,182,61,62,64,71,95,116,131,135,179,141,65,119,121,114,109,126,150,102,72,166,192,186,186,186,186,186,186,185,61,63,64,72,98,119,134,137,178,140,74,127,162,127,112,120,121,99,62,141,198,186,188,189,187,187,188,186,61,63,64,74,100,122,137,140,177,148,117,121,98,111,104,102,95,106,90,111,199,189,191,191,190,188,190,196,61,63,65,76,104,126,138,143,189,165,121,104,84,104,105,115,106,128,128,94,144,202,190,191,196,202,193,162,60,63,65,78,107,128,139,147,196,163,118,93,90,107,113,166,157,141,159,131,82,167,201,201,178,131,77,42,61,64,65,81,109,131,141,150,196,160,109,89,96,112,141,183,192,151,172,134,71,122,204,112,50,34,30,34,60,62,64,83,111,132,143,150,193,166,111,91,104,120,155,181,198,187,151,102,67,113,101,38,32,28,40,27,59,61,62,83,112,133,143,149,187,171,118,92,107,129,164,188,195,179,138,93,75,55,29,47,45,14,36,36,59,61,62,85,114,136,145,149,182,177,138,97,109,132,165,194,188,163,130,94,71,48,33,24,49,20,16,40,54,56,59,85,116,137,147,151,177,178,153,108,110,131,166,194,175,151,121,89,68,46,37,13,33,38,7,25,70,66,67,89,118,139,149,154,172,173,159,120,113,125,165,183,167,145,111,83,65,47,30,18,14,40,15,11,99,97,98,97,98,106,110,114,122,165,164,128,125,121,156,170,159,136,102,79,58,43,36,18,8,30,28,2,94,94,94,95,95,96,97,99,94,140,168,137,128,120,136,159,147,122,92,71,53,24,39,21,3,23,36,7,95,95,97,99,100,101,102,103,102,110,157,141,128,122,116,139,130,106,80,62,53,26,28,22,5,14,37,21,94,96,96,98,99,100,101,102,104,100,139,150,132,126,110,117,122,97,71,53,55,38,15,3,13,8,33,31
19,171,172,174,176,177,178,179,180,180,180,180,181,181,181,180,180,180,180,180,179,178,179,178,176,175,175,174,173,172,173,175,177,178,180,180,181,182,183,183,182,183,182,182,181,181,181,181,180,180,180,179,178,177,178,176,176,174,175,177,179,180,180,182,184,184,184,184,184,184,185,185,184,183,182,183,183,181,180,180,180,179,179,177,177,174,177,178,180,181,182,184,184,185,185,185,185,185,185,185,185,186,184,184,184,182,182,181,181,180,180,179,178,175,178,179,180,181,184,184,185,186,187,186,187,187,187,187,185,186,185,185,184,184,184,183,183,181,180,180,179,177,179,180,182,182,185,186,187,188,189,189,189,189,189,187,187,187,187,186,186,185,184,184,184,182,182,181,180,178,180,183,183,184,186,186,188,189,189,190,190,189,188,189,184,192,188,187,187,186,186,185,184,185,183,183,182,179,180,183,185,185,187,188,189,191,191,190,192,196,191,202,173,145,192,187,187,188,187,187,186,185,183,183,183,180,182,184,186,187,189,190,191,191,193,194,172,156,176,205,191,108,159,198,194,191,191,190,188,187,187,186,184,181,183,185,187,189,190,191,191,192,191,183,154,122,124,139,149,134,123,142,151,173,176,181,183,186,181,177,182,181,184,186,189,190,190,192,194,192,182,179,184,179,137,93,114,136,128,127,114,122,137,144,132,151,135,140,179,184,185,187,189,190,191,191,188,174,179,191,193,165,116,90,86,105,115,122,114,117,132,136,133,137,139,135,168,184,185,188,190,192,190,188,181,177,179,183,183,167,131,90,84,84,87,90,87,91,97,105,106,105,109,114,128,184,185,188,190,190,188,188,185,183,174,182,188,189,159,104,82,87,77,96,126,143,145,143,143,150,153,162,177,185,187,190,191,191,189,187,187,185,182,188,191,187,161,108,83,87,76,144,210,200,199,198,199,199,198,196,193,186,187,187,190,188,190,188,189,190,187,185,184,178,166,121,83,84,85,90,191,198,194,193,192,193,193,191,192,184,186,194,194,193,191,191,192,192,185,180,189,187,176,135,86,82,89,71,134,208,194,195,195,194,193,193,193,186,206,209,197,192,193,194,191,185,183,188,193,189,162,127,94,80,92,74,113,208,195,197,197,196,195,194,193,205,212,203,193,190,191,188,185,182,181,176,176,168,143,121,102,87,89,78,162,207,197,197,197,197,196,195,194,211,208,195,190,189,187,184,183,177,175,168,164,159,144,120,105,98,90,68,167,208,198,198,197,197,197,196,195,208,204,197,186,181,183,179,180,179,173,167,160,155,161,125,102,103,91,84,190,204,200,200,199,197,197,196,196,206,202,193,183,172,173,172,172,177,169,161,145,142,156,112,97,107,89,107,212,199,200,200,200,198,198,197,197,202,198,185,171,161,159,162,161,166,157,141,122,122,114,78,96,110,82,143,209,199,200,200,200,199,199,198,197,194,187,170,158,151,137,141,146,150,133,115,113,109,83,91,102,98,151,206,203,201,201,201,201,200,200,198,198,193,168,164,157,136,121,112,120,124,114,104,98,85,82,98,124,171,209,202,203,202,201,202,201,200,200,199,198,165,155,165,153,127,104,99,98,100,91,118,167,158,161,182,201,208,202,202,202,202,202,201,201,200,199,198,197,120,157,162,142,116,87,70,71,112,157,197,211,210,209,208,204,203,203,203,203,203,202,201,200,198,198,197,196,76,112,109,85,67,53,43,41,183,216,203,204,203,204,203,204,204,204,204,203,203,203,201,201,200,199,198,197
6,143,146,147,149,151,152,152,153,154,154,154,152,152,152,153,152,152,151,151,151,150,149,148,149,147,147,146,143,144,146,148,150,151,153,153,154,155,156,156,155,155,154,154,153,154,153,153,152,151,150,151,151,149,148,147,146,145,148,150,152,153,154,155,156,156,157,157,157,157,157,156,155,154,154,153,153,152,152,152,152,151,150,149,148,146,148,150,152,154,155,157,158,157,157,157,158,158,158,159,159,158,157,156,155,155,153,150,152,153,152,151,150,148,150,152,154,155,156,158,159,158,159,159,159,158,154,147,145,146,148,143,145,137,135,162,138,137,156,152,151,149,152,154,156,157,158,160,161,159,159,159,157,154,147,134,131,142,152,143,145,134,133,166,122,116,160,152,152,151,153,154,157,158,160,161,160,162,164,169,169,166,156,145,137,139,141,136,131,130,116,114,109,143,158,154,154,151,153,156,158,158,158,158,164,172,173,170,156,145,128,117,101,97,100,109,114,118,127,138,153,158,157,156,154,151,153,156,155,167,173,160,160,160,154,142,135,128,116,112,103,94,137,150,156,160,163,163,161,157,158,157,156,151,154,157,154,184,174,153,149,145,152,158,156,146,138,138,141,99,129,171,161,162,161,161,161,160,159,158,158,151,154,157,160,175,149,142,148,153,160,165,162,154,147,139,125,91,98,169,163,164,163,162,162,161,159,159,158,152,155,155,173,180,147,142,144,149,155,158,158,149,135,131,114,78,81,157,167,163,163,163,162,161,161,160,158,154,158,156,177,160,148,152,148,149,151,158,160,147,126,131,126,79,69,134,171,162,163,163,163,163,163,160,159,155,158,157,172,163,165,159,158,160,166,169,159,147,140,136,115,85,72,123,172,163,164,164,163,163,162,161,160,155,158,158,168,185,183,156,155,157,156,154,149,141,132,115,93,85,78,112,172,164,165,165,164,164,164,162,160,156,159,158,167,191,183,160,151,142,124,122,132,130,129,126,84,78,83,127,173,165,166,165,165,164,163,163,161,157,159,158,171,182,177,166,149,136,139,154,155,141,134,142,100,68,103,168,167,166,166,166,166,165,165,163,161,157,160,158,173,176,179,175,151,146,159,164,147,135,128,120,100,79,126,174,166,167,166,166,166,165,165,164,163,157,161,159,173,179,172,170,154,149,154,153,144,131,119,101,89,85,145,173,168,168,166,167,167,166,166,164,163,158,161,158,172,179,173,166,155,149,148,135,125,107,93,87,83,101,164,171,169,169,168,168,167,166,166,164,163,158,162,157,167,175,176,163,149,138,128,108,91,71,65,76,112,161,172,170,169,170,171,169,167,166,166,165,164,157,160,156,163,172,164,145,135,125,107,89,74,63,76,99,165,175,169,169,171,170,169,168,169,167,165,164,164,157,160,156,158,167,149,136,133,127,99,85,83,70,82,139,173,168,171,170,169,168,167,167,168,166,165,164,162,157,161,153,151,162,139,138,139,115,93,88,90,77,121,173,171,170,171,171,169,168,168,167,166,166,165,163,162,157,160,151,147,157,133,143,139,109,93,87,91,114,169,172,170,171,171,170,170,168,167,167,166,166,165,164,163,157,162,148,149,153,137,146,135,109,91,87,94,154,175,170,172,172,170,170,169,169,169,168,167,166,165,165,163,156,162,142,155,155,135,141,124,100,87,91,101,163,172,170,171,172,170,169,169,170,168,169,168,167,165,164,163,155,158,138,162,150,130,128,107,92,88,91,115,172,169,169,168,169,168,167,168,168,166,167,166,166,165,165,163
7,109,120,127,127,133,140,147,151,154,155,159,161,163,166,168,170,170,171,172,172,171,172,172,171,169,170,168,167,111,121,127,128,134,141,147,152,154,158,160,162,166,168,169,170,172,174,174,175,174,175,176,173,172,171,170,169,113,122,127,130,135,142,147,152,156,159,162,164,167,169,171,172,174,176,176,176,176,175,176,175,174,174,172,170,114,123,126,130,136,143,148,152,158,160,162,166,168,171,173,174,176,177,177,177,176,178,178,177,176,176,175,173,115,124,127,130,137,144,149,153,157,162,164,168,170,173,175,176,176,178,178,177,179,179,179,178,179,177,176,174,117,126,131,133,139,145,150,155,159,161,166,169,172,175,176,178,178,180,180,180,180,180,179,180,180,178,178,175,119,127,133,135,140,147,153,157,160,164,170,171,174,177,179,182,181,183,183,183,182,181,181,181,181,180,179,177,119,127,133,136,143,146,149,158,160,164,167,168,169,176,178,178,181,183,183,184,186,183,182,182,183,181,181,179,118,129,135,135,138,153,181,183,169,173,184,184,184,179,169,163,174,169,171,171,177,185,187,185,184,183,183,182,121,130,129,138,173,200,206,192,166,156,175,188,194,188,166,167,191,173,159,148,131,162,171,184,185,185,184,185,117,129,163,198,205,200,204,190,156,147,158,171,178,176,149,148,170,157,148,140,128,146,129,186,193,187,186,186,149,193,207,203,200,203,201,175,149,147,165,192,197,202,180,174,168,159,174,164,146,139,145,159,171,189,188,186,210,209,204,212,204,204,208,189,123,109,117,145,152,156,161,168,165,167,175,179,167,162,166,144,160,157,184,187,212,212,211,212,206,212,220,181,107,82,93,78,60,85,110,123,128,130,130,136,139,139,141,133,149,137,186,191,217,213,211,212,211,213,208,141,91,86,88,90,63,36,57,174,177,181,178,174,168,159,159,156,155,176,191,188,211,210,207,209,207,211,195,131,76,78,101,102,97,71,68,192,193,193,194,197,197,196,197,196,194,191,189,188,217,215,213,216,218,225,202,118,73,58,49,95,121,90,61,159,197,190,193,192,192,190,189,189,189,189,190,188,214,213,209,200,203,204,155,108,77,76,43,54,94,94,88,172,196,191,193,194,195,193,193,193,191,192,191,190,198,196,182,172,180,163,125,105,95,80,73,63,102,135,165,191,191,192,194,195,195,196,195,195,192,192,192,192,179,168,162,158,161,134,99,92,87,90,71,69,172,194,191,190,191,194,194,195,195,197,195,194,195,195,192,191,147,148,137,119,106,105,126,137,111,109,110,137,186,184,187,191,193,194,194,195,194,195,196,195,194,194,193,192,110,107,95,97,118,147,164,171,174,174,180,184,184,186,189,192,193,195,194,195,195,194,196,194,192,191,192,191,80,73,74,100,112,107,105,106,106,107,107,106,107,110,112,110,111,113,114,110,108,107,107,105,103,103,102,100,53,73,82,77,82,79,77,74,74,74,74,75,76,77,75,71,71,73,74,75,76,75,75,73,69,68,69,68,73,81,87,87,87,89,87,87,88,89,90,88,88,87,86,91,91,86,85,84,84,84,83,81,77,80,80,69,77,80,87,87,87,89,86,84,86,86,86,85,84,83,83,91,92,89,90,84,81,80,80,80,81,76,69,114,77,75,88,89,88,88,87,86,87,88,87,86,87,86,85,85,82,83,86,82,82,80,80,82,75,88,157,189,75,68,83,91,90,90,90,89,89,90,89,89,89,89,89,86,84,84,84,83,84,81,79,77,81,183,175,150
2,146,146,146,148,148,149,148,147,148,147,147,147,147,147,147,146,146,146,146,145,144,141,142,143,139,55,21,41,149,150,151,150,150,150,149,150,150,151,151,152,150,149,150,150,146,151,148,150,144,145,146,150,129,37,35,46,154,155,155,153,153,155,155,155,155,156,156,155,151,157,164,131,79,118,134,119,155,150,148,150,142,59,44,41,157,157,158,156,156,157,157,158,159,157,155,159,166,163,123,82,52,59,84,57,104,145,151,149,154,88,44,48,160,160,160,159,159,160,160,161,160,161,173,182,145,90,63,51,45,46,56,46,38,114,161,150,160,105,40,37,163,163,163,162,163,163,164,165,160,172,187,162,85,42,46,43,37,31,42,45,34,112,164,153,159,129,46,20,165,166,167,165,165,166,167,167,162,191,165,91,53,33,36,41,34,29,33,40,77,154,159,155,156,157,52,5,169,168,169,169,169,168,169,167,174,200,122,53,44,36,30,35,40,53,98,132,163,163,161,159,158,159,92,75,170,171,171,172,172,171,172,165,190,184,105,60,44,53,41,42,54,130,175,168,165,164,163,161,161,164,128,112,170,173,175,174,174,174,172,176,197,156,86,45,42,48,41,66,148,173,166,167,168,168,165,164,162,173,90,123,174,175,175,175,176,176,170,190,192,139,84,49,44,40,46,106,188,169,172,170,169,169,169,168,165,171,106,155,176,178,179,178,177,177,176,204,183,130,85,67,56,45,43,128,183,175,175,172,172,171,170,169,167,167,152,136,177,178,180,181,180,176,188,214,169,116,77,64,61,58,51,166,182,176,176,176,176,174,174,172,169,169,172,143,179,179,181,182,182,175,200,208,158,104,67,59,54,58,75,182,180,179,177,177,177,177,176,174,172,173,170,164,181,182,182,181,179,176,213,195,150,103,68,55,53,55,84,186,179,179,177,177,177,176,175,176,175,175,172,165,182,182,182,185,176,194,212,180,138,93,68,58,62,49,103,195,180,181,180,179,179,178,179,179,178,180,179,173,183,184,184,186,179,211,203,167,126,86,66,56,54,42,90,194,181,183,182,183,184,184,177,167,159,151,161,180,186,185,188,179,182,216,196,159,118,80,62,51,47,59,50,124,198,183,188,186,169,155,145,141,137,125,96,128,186,186,191,175,197,211,187,148,107,79,59,39,50,62,64,58,157,186,169,147,139,140,151,145,122,103,89,112,188,190,185,181,212,205,177,133,97,77,52,35,59,63,70,78,78,104,119,139,155,146,124,90,99,149,173,180,190,193,178,197,211,197,167,125,93,73,43,46,75,79,91,93,91,99,125,145,132,99,71,105,181,187,185,183,193,187,183,213,208,190,154,118,89,72,45,59,86,94,99,96,96,102,114,97,87,111,148,186,186,183,182,181,189,182,208,209,199,180,147,111,79,69,52,71,91,100,102,96,87,79,72,105,164,192,194,188,187,185,185,183,177,195,211,203,194,177,140,101,74,69,60,85,97,100,94,82,66,74,138,194,194,190,189,189,189,187,188,187,188,201,202,195,181,152,115,85,74,65,68,88,92,95,78,64,118,176,199,192,191,193,192,191,190,188,189,189,197,198,193,174,152,124,97,77,72,65,74,81,87,79,61,135,203,198,193,193,194,194,194,194,193,191,191,189,194,192,176,151,132,114,89,75,70,73,73,73,70,81,153,203,195,196,196,195,196,195,196,195,193,192,190,189,191,182,161,127,117,94,72,74,75,74,72,66,118,188,204,197,198,198,198,198,197,196,196,195,195,194,192,191
15,201,180,189,153,142,202,90,78,121,118,119,122,126,129,142,156,167,176,181,185,191,196,201,204,208,210,212,216,199,184,195,146,157,201,79,88,122,119,120,124,127,130,144,158,170,179,182,187,194,200,204,207,210,213,215,219,198,186,197,139,170,193,70,97,123,119,123,126,128,131,146,159,172,181,184,189,196,202,207,211,213,216,219,221,197,189,197,133,185,183,61,104,121,118,120,122,124,131,149,163,175,183,186,190,199,206,209,213,216,220,222,224,193,190,195,129,199,167,65,118,128,130,139,148,151,136,147,160,176,187,191,194,202,208,217,221,219,222,226,228,192,201,190,156,182,168,153,156,153,161,164,159,149,145,144,145,151,160,169,175,173,165,171,201,229,231,228,231,198,206,174,162,165,159,156,143,144,145,141,138,138,151,153,151,150,148,148,160,165,154,143,128,156,214,241,237,201,187,153,150,146,146,141,136,139,140,141,139,143,156,157,153,147,143,146,159,162,160,154,138,121,123,175,232,201,203,166,142,156,130,127,131,135,139,138,139,148,156,153,149,144,143,155,159,152,157,151,143,138,131,116,133,204,212,160,161,223,93,86,128,121,123,125,128,133,146,159,174,158,153,154,155,157,158,152,144,143,148,135,120,206,216,150,176,217,79,89,129,121,122,125,127,127,140,165,212,189,168,161,154,147,154,146,148,145,161,145,131,206,215,145,190,207,70,98,129,121,122,125,127,130,139,195,199,174,146,138,147,128,128,144,151,154,172,153,140,208,214,140,202,195,63,106,128,120,122,125,128,126,158,214,177,163,136,97,108,97,89,167,172,172,168,148,145,210,211,138,213,183,59,113,127,121,123,124,127,128,204,201,164,149,131,94,82,74,87,188,190,183,159,139,144,212,206,137,224,170,57,119,126,122,122,125,121,154,233,198,159,142,110,82,84,68,112,196,199,194,162,135,137,219,201,142,231,153,58,125,125,121,123,125,121,147,218,206,171,144,102,74,82,89,125,187,206,201,166,137,134,225,195,147,242,141,62,128,125,121,123,125,127,126,194,225,197,157,116,72,100,130,122,172,206,187,160,139,125,230,188,156,248,128,65,132,124,121,121,124,127,129,160,234,218,175,123,82,75,108,166,190,186,158,148,136,114,235,176,167,248,113,71,131,122,119,119,122,123,133,147,217,232,197,175,164,162,183,185,169,149,132,134,131,117,237,169,181,245,99,78,131,120,119,118,121,122,131,150,183,236,219,203,195,194,199,163,133,127,126,124,128,130,236,159,195,237,87,87,131,119,118,117,119,122,133,149,202,217,178,168,172,193,196,152,120,121,113,120,127,120,234,155,210,229,75,93,129,117,116,116,119,122,130,162,231,184,167,171,167,187,191,155,122,117,175,157,102,101,231,149,222,215,67,101,126,112,111,110,113,115,122,168,218,174,161,157,153,173,178,158,116,144,255,174,104,103,226,151,228,211,164,159,167,159,155,151,148,150,153,168,192,175,171,183,152,131,163,162,131,157,255,175,112,106,218,153,232,215,175,140,156,155,155,154,158,161,160,155,151,160,158,205,201,135,134,168,150,161,182,150,118,111,213,157,236,211,170,143,156,155,156,156,156,157,159,159,160,162,156,165,219,179,141,165,164,163,165,143,108,107,205,164,240,207,168,149,157,157,159,159,158,161,162,162,164,164,163,161,174,180,160,166,166,165,169,144,105,83,195,172,239,206,168,151,158,156,157,158,159,161,161,162,164,164,163,165,163,163,164,164,165,164,167,143,114,96
2,136,148,154,155,160,164,169,174,177,180,181,179,183,189,192,189,196,198,200,197,198,201,201,200,201,201,202,203,138,150,156,157,162,167,170,175,177,176,181,204,222,220,205,202,204,175,151,198,196,195,202,199,200,201,201,200,139,150,156,160,165,170,174,174,186,205,218,205,178,160,124,122,146,120,88,131,140,121,186,204,199,200,200,199,141,151,157,161,166,173,172,188,240,228,174,134,115,113,97,93,96,96,98,102,92,92,184,205,199,199,199,200,143,153,159,162,169,171,193,243,219,157,97,83,88,88,86,90,86,79,99,116,130,184,204,199,199,199,199,198,145,156,161,165,172,176,241,228,137,99,84,70,87,77,76,82,87,121,184,203,207,205,203,202,202,202,201,200,149,158,162,169,172,191,254,189,104,84,81,82,91,76,89,85,175,213,208,206,205,205,205,206,203,202,203,202,151,160,164,172,172,205,253,170,105,82,74,84,80,85,85,118,220,210,209,210,210,211,211,207,212,184,199,206,154,163,167,175,173,226,242,142,86,75,76,75,69,83,77,178,222,214,215,214,215,217,210,215,217,153,200,212,158,166,169,177,176,247,230,142,104,92,90,76,78,78,117,226,218,219,218,219,219,218,217,228,183,135,217,214,161,170,173,176,190,255,225,154,116,100,87,81,99,83,161,233,220,223,223,222,222,219,219,217,147,155,230,216,164,172,177,177,218,255,220,156,112,100,82,84,95,81,191,232,224,226,227,225,229,213,205,198,120,165,234,220,168,174,178,181,229,255,215,150,110,98,82,83,87,83,201,238,228,229,228,230,226,200,206,174,108,154,238,223,170,176,181,183,229,255,210,145,110,94,83,78,90,95,149,226,224,234,239,236,211,211,206,160,102,186,239,227,172,178,184,184,225,255,210,156,118,96,83,82,100,119,113,137,158,163,199,201,205,212,203,140,145,241,231,233,174,180,187,186,229,255,210,159,121,101,83,87,117,130,129,145,165,166,150,180,211,203,168,125,228,240,235,235,177,182,189,190,240,255,211,164,128,104,82,96,124,122,130,153,172,184,181,169,196,185,119,193,249,239,240,238,180,184,191,193,247,255,210,169,139,109,86,102,123,124,151,171,180,171,169,155,157,132,152,253,240,243,242,241,182,187,195,195,246,253,210,174,145,113,91,106,128,143,172,176,172,159,144,136,121,105,233,250,244,245,245,244,185,189,197,201,247,246,207,179,154,115,98,109,130,149,164,169,157,145,132,115,99,197,255,245,246,247,246,245,188,191,199,202,239,235,203,188,163,119,110,112,129,150,154,159,151,136,116,122,220,255,249,251,249,250,250,249,191,193,202,203,231,229,209,198,166,126,118,112,132,146,151,152,144,118,135,245,255,250,253,253,252,252,252,252,193,196,204,206,233,230,216,197,161,131,125,114,138,142,144,143,120,120,241,255,250,254,254,254,254,253,253,254,196,199,207,213,243,233,213,188,158,139,130,114,133,134,129,113,124,231,255,253,255,255,255,255,255,255,254,254,198,201,207,220,254,234,220,191,158,139,127,116,124,130,100,151,247,255,255,255,255,255,255,255,255,254,255,255,199,203,208,228,255,234,229,191,154,133,123,115,124,103,147,255,255,255,255,255,255,255,255,255,255,255,255,239,201,205,210,230,244,227,213,177,136,121,115,118,112,127,249,255,255,255,255,255,255,255,255,255,252,203,140,96,203,207,212,229,230,219,211,178,131,121,122,128,101,193,255,255,255,255,255,255,255,255,244,178,117,78,68,70
10,62,70,80,85,89,94,96,98,101,104,106,107,109,110,111,113,115,117,117,118,119,120,122,122,123,124,125,126,63,71,82,87,90,94,97,99,102,104,106,108,109,111,114,114,111,112,120,119,121,122,123,123,124,126,127,128,64,74,84,88,91,95,97,100,104,106,107,109,110,113,113,122,112,80,120,121,123,123,125,126,127,129,129,130,67,75,84,88,92,96,99,102,104,106,108,110,112,115,113,130,120,69,110,125,123,125,126,128,129,129,130,131,67,76,85,90,93,96,100,103,105,107,108,111,114,115,113,131,123,73,100,127,124,127,128,129,130,130,131,132,67,77,86,89,93,98,102,103,105,107,109,110,113,118,115,125,129,86,91,130,124,127,128,130,130,131,131,132,69,79,87,89,94,98,102,104,105,107,109,113,119,95,114,128,139,100,79,130,126,128,129,131,132,131,132,133,71,81,88,92,96,99,102,104,107,108,109,115,127,74,80,132,136,111,72,124,129,129,130,131,132,134,134,135,72,82,89,92,96,100,101,107,111,113,113,125,114,79,56,127,128,108,69,119,132,131,131,130,132,133,133,133,73,83,89,93,96,102,114,90,82,79,87,119,125,98,57,108,126,98,66,109,134,131,132,132,134,134,135,135,74,84,89,93,95,105,106,72,50,46,44,63,127,112,59,81,116,86,66,99,136,131,134,134,135,137,137,137,75,86,90,94,98,103,99,79,56,45,65,52,101,124,72,75,98,71,66,88,139,131,134,135,136,137,137,137,76,85,90,95,98,103,108,108,106,89,65,44,92,130,85,65,71,59,66,77,138,132,135,136,136,137,137,137,76,85,89,95,99,104,107,104,133,127,65,39,114,132,95,51,46,58,68,71,135,134,136,137,137,137,137,137,76,86,90,94,99,101,105,104,134,121,72,30,127,134,101,60,40,60,70,59,126,137,136,137,138,138,138,137,78,87,90,95,100,100,122,121,132,129,71,23,143,134,99,65,41,56,68,51,115,141,136,138,138,139,139,139,79,87,91,95,101,98,135,133,125,124,61,68,148,124,97,60,41,49,63,42,105,143,135,138,138,139,140,140,80,87,91,97,100,100,117,133,120,116,83,145,136,118,101,63,45,49,53,45,124,139,136,138,139,140,140,141,81,87,91,97,101,104,108,115,98,116,128,158,134,113,98,68,48,50,42,66,142,134,137,138,139,140,140,141,82,87,92,97,101,105,108,118,97,132,155,152,132,109,91,69,50,47,36,100,142,135,137,138,139,141,141,141,82,87,92,96,101,106,106,134,121,108,152,147,129,107,90,70,52,41,43,129,137,137,137,139,140,141,141,140,82,87,92,96,100,104,107,143,133,102,147,144,129,106,88,72,55,35,70,143,134,137,138,140,140,141,141,141,83,88,92,96,99,103,110,150,140,124,152,140,129,109,89,74,53,32,109,141,135,138,139,140,140,140,141,142,82,88,92,96,101,103,113,155,144,132,146,141,136,111,89,74,46,48,136,136,137,139,139,140,141,141,141,142,83,88,93,99,102,104,113,154,139,138,142,139,142,116,87,74,40,78,143,134,137,137,139,140,141,142,142,143,84,87,92,97,101,104,113,148,132,133,140,140,142,119,88,69,37,109,140,135,138,138,140,140,141,142,142,143,83,88,93,98,101,104,111,132,131,143,142,138,138,114,85,59,57,136,135,136,137,139,140,140,141,142,142,143,83,87,93,98,100,105,107,137,144,148,142,132,133,109,83,49,84,141,133,136,137,139,140,141,142,142,142,143
1,77,12,50,64,70,79,96,113,123,128,133,136,138,141,145,149,155,152,155,158,159,160,160,162,163,162,163,164,68,12,56,65,71,81,99,114,124,130,134,136,140,142,152,147,119,156,160,158,159,161,161,163,164,164,165,165,56,15,61,65,73,83,104,118,125,131,137,139,141,142,167,150,77,138,140,160,161,163,163,165,165,165,165,164,45,21,63,66,75,84,107,120,126,132,138,139,149,140,157,145,88,137,96,152,166,164,166,166,166,166,166,166,34,27,64,67,77,87,109,121,129,135,140,137,168,128,135,139,95,151,95,142,171,165,167,168,168,167,167,168,22,34,65,68,77,90,111,122,129,135,140,141,173,117,143,141,100,153,95,131,174,166,168,169,169,169,168,169,14,41,65,70,79,93,113,123,129,135,143,146,176,103,139,137,97,157,104,127,174,167,169,170,171,171,171,171,13,49,68,72,80,96,116,124,132,136,160,129,162,97,143,138,96,148,101,125,178,169,172,173,172,173,172,173,14,54,67,72,82,98,116,126,130,149,153,109,152,101,166,139,94,158,109,119,180,171,174,175,174,175,175,174,18,58,68,73,81,100,118,127,129,168,134,104,144,107,174,127,101,181,116,120,180,172,175,176,175,176,176,176,23,62,68,75,84,104,119,128,135,179,114,121,151,106,152,102,101,173,105,124,181,174,178,178,177,178,179,178,29,64,68,76,86,105,121,127,145,180,97,120,131,91,141,88,117,167,97,127,182,175,179,178,179,180,179,180,34,66,69,78,87,106,122,124,158,178,93,106,138,132,129,151,157,157,96,131,184,177,180,180,180,181,181,181,40,68,71,79,88,109,123,124,173,161,104,111,162,149,128,153,144,144,91,129,187,178,182,182,182,181,181,182,46,69,71,79,91,111,122,128,184,171,153,146,173,166,153,137,126,120,86,128,188,178,181,183,183,184,183,183,50,68,71,79,91,113,119,142,195,155,146,149,140,140,173,170,149,124,82,126,188,179,183,184,185,185,185,185,56,69,74,81,92,115,116,165,187,134,114,110,85,108,170,168,161,143,91,119,191,179,183,185,185,186,186,186,61,69,75,82,95,118,117,177,179,134,130,137,126,170,180,169,146,128,88,91,188,183,185,186,186,187,188,187,64,69,75,82,97,119,119,176,185,148,134,140,174,205,185,162,133,101,84,69,170,189,186,188,188,188,188,188,66,68,75,82,98,118,119,170,196,164,146,139,175,208,187,152,127,90,75,66,166,191,186,189,189,189,189,189,68,70,77,83,99,117,121,159,198,164,149,140,166,200,178,147,117,91,68,84,187,188,188,190,190,190,190,191,68,70,79,85,102,119,125,149,191,162,155,144,151,186,171,143,109,90,63,131,197,188,190,190,192,192,192,192,69,70,79,85,103,119,129,140,180,167,164,154,168,180,153,125,99,82,72,172,191,191,192,192,193,193,194,193,68,71,78,86,105,119,128,137,166,167,161,148,158,164,135,110,95,73,93,191,190,192,192,193,194,194,195,194,68,71,78,84,104,118,130,137,152,165,156,147,134,137,125,105,97,67,112,196,190,192,194,195,196,195,195,195,68,71,77,83,104,116,128,137,142,163,157,144,135,134,134,117,95,64,137,194,187,190,193,194,194,194,194,194,68,69,75,83,104,115,127,133,162,168,160,158,147,136,127,115,88,62,151,195,187,190,192,193,194,195,195,195,68,69,74,83,104,115,127,136,185,181,137,159,148,132,109,98,86,56,135,195,186,191,193,195,195,195,195,195
12,167,167,169,172,173,173,174,177,178,178,178,178,177,177,176,175,175,175,174,173,173,172,172,171,170,168,168,169,169,169,171,173,174,175,177,178,180,179,179,179,179,179,179,178,177,176,176,175,175,174,173,172,171,170,170,169,170,171,173,174,176,178,179,180,181,180,181,181,180,180,180,179,180,179,177,176,175,176,174,175,173,173,172,171,171,172,174,176,178,179,180,181,182,182,181,182,183,183,182,181,180,180,180,179,178,178,177,177,175,174,173,173,172,174,176,177,180,180,182,184,185,184,184,184,180,181,183,181,166,158,175,181,180,179,179,179,176,175,175,174,173,175,178,179,181,182,183,185,185,186,187,184,156,133,171,184,147,101,115,171,161,169,179,179,179,178,177,176,175,178,180,181,183,186,187,187,187,187,195,196,153,114,107,176,136,107,75,132,121,93,144,180,180,179,178,178,178,179,181,184,185,187,188,188,187,185,193,187,140,106,82,178,146,117,76,118,119,81,78,169,180,180,179,180,179,180,183,186,186,186,188,191,194,162,160,183,136,96,78,189,187,134,95,119,111,83,67,160,182,182,181,181,181,182,184,186,187,189,190,213,199,167,126,174,173,100,71,205,202,126,105,156,126,88,66,165,184,183,183,182,182,184,186,188,189,191,201,228,204,170,114,168,195,110,80,153,149,96,133,174,124,79,69,175,186,186,184,183,183,186,187,188,191,191,209,219,201,163,112,122,157,105,91,107,142,127,146,143,89,58,88,186,188,188,186,185,185,187,188,190,192,196,225,208,172,131,99,63,78,79,102,118,163,187,159,123,90,59,149,189,189,189,188,187,186,188,191,192,192,216,222,197,145,108,88,55,45,118,185,186,181,167,142,125,117,73,165,190,191,190,188,188,187,188,192,194,193,223,226,185,139,133,97,53,103,199,209,197,176,159,131,120,108,74,171,194,192,191,189,189,188,189,193,195,195,229,226,181,137,153,112,110,190,219,212,198,173,151,133,109,92,69,181,194,194,193,191,191,189,190,193,195,198,234,227,194,178,153,160,177,215,219,208,191,169,143,127,101,79,61,178,195,195,194,193,192,190,192,194,197,202,234,228,209,196,165,160,190,219,212,197,184,158,131,116,94,71,56,172,197,197,196,194,194,192,193,195,198,201,231,228,215,202,173,169,195,208,199,183,171,145,122,106,83,64,58,182,199,198,198,195,195,192,194,196,199,201,226,226,219,202,175,160,190,192,185,177,160,132,109,91,73,56,113,197,199,199,197,196,196,193,194,197,199,200,222,224,217,197,166,155,173,178,176,164,146,117,97,82,66,96,191,201,199,200,199,198,197,194,195,197,200,201,216,221,215,181,149,156,168,175,177,159,135,115,94,75,99,188,202,201,200,200,199,199,198,193,195,199,179,164,210,206,191,171,164,170,168,182,178,153,122,111,85,72,177,205,204,202,201,201,200,200,199,194,197,199,121,60,179,210,198,190,178,163,156,179,165,131,107,97,70,140,204,206,204,204,203,202,201,200,199,195,197,174,96,76,95,175,193,182,165,146,134,156,135,109,93,74,109,202,208,206,205,205,204,204,202,202,201,196,200,130,86,89,55,77,101,99,93,90,94,113,101,87,71,66,186,209,207,206,206,206,206,205,203,202,202,195,185,100,84,86,65,26,55,54,50,39,36,36,41,46,36,62,186,209,208,207,207,206,206,204,203,203,203,196,144,88,84,84,75,12,35,48,45,35,32,30,26,22,16,17,144,209,207,208,206,205,205,204,203,203,202
14,142,146,150,154,157,160,161,164,167,167,168,170,171,172,173,173,173,172,172,172,171,171,171,170,170,169,168,168,142,146,151,155,159,161,163,165,167,167,169,171,172,173,174,174,173,173,173,173,173,172,172,171,171,170,169,169,143,147,152,156,160,161,163,166,168,169,171,172,173,174,174,176,176,174,174,174,174,173,172,172,172,171,170,170,144,149,154,158,160,162,165,168,170,171,173,174,174,176,176,178,177,176,176,175,175,174,174,173,173,173,172,171,145,150,155,159,161,164,166,169,171,172,174,176,175,179,184,179,180,179,176,176,177,176,175,175,175,174,173,172,146,150,155,159,163,165,167,170,172,173,175,177,177,204,217,205,203,193,172,161,168,176,175,176,176,175,174,173,146,152,157,161,164,165,168,172,173,174,176,176,187,220,219,215,203,188,176,164,154,152,170,177,175,175,175,174,147,154,158,162,165,168,170,172,175,175,178,177,211,225,200,176,156,136,138,148,139,103,115,164,177,176,176,175,148,154,159,163,166,169,171,173,176,178,178,187,228,216,162,109,94,93,96,109,110,101,95,110,169,179,177,176,150,155,159,163,167,170,173,175,177,179,177,207,230,197,130,79,81,88,78,86,103,121,108,84,127,176,179,178,151,156,160,165,168,171,173,175,178,179,182,229,215,158,92,65,82,89,81,86,92,96,103,112,106,145,176,178,153,158,162,166,170,172,174,175,178,179,202,232,179,114,71,65,66,72,87,89,98,101,110,124,124,134,143,178,154,159,163,167,170,173,175,178,179,187,233,223,163,112,86,81,75,69,89,102,140,130,124,121,154,137,132,179,155,160,165,168,172,174,176,180,179,207,248,214,156,113,97,87,85,86,87,144,186,185,177,163,170,121,134,182,156,161,166,170,173,176,178,181,180,222,248,205,149,110,96,86,86,92,113,182,189,189,186,170,166,118,131,183,156,161,166,171,174,177,180,182,182,229,245,201,142,101,87,80,84,88,145,191,189,190,182,165,160,119,119,181,157,162,167,171,174,177,180,181,184,238,241,202,148,103,82,78,76,73,152,194,191,191,168,157,152,125,119,177,157,163,168,172,175,178,180,181,190,246,237,199,149,104,80,70,69,69,95,157,189,183,156,157,143,123,141,182,158,162,167,171,175,179,182,182,203,250,232,195,150,106,75,66,76,86,87,98,127,139,158,165,143,128,174,187,158,163,168,172,176,180,183,182,217,249,228,191,151,108,75,65,76,86,92,105,110,125,158,152,129,154,188,187,157,163,168,172,177,180,183,183,229,245,221,186,154,111,79,71,80,89,105,123,127,128,147,133,139,185,189,188,156,161,168,172,176,180,182,186,235,239,212,185,165,114,87,85,96,107,124,132,126,122,125,123,171,191,189,189,156,163,170,173,177,180,182,189,235,230,204,194,169,112,98,91,107,122,134,129,120,114,114,146,189,190,190,189,158,164,170,174,178,181,182,192,232,224,207,204,170,125,109,93,112,129,135,124,113,112,152,187,193,193,192,190,158,164,170,174,178,181,182,194,231,226,216,210,178,138,113,97,108,126,129,118,109,130,189,194,193,193,192,191,158,164,171,175,178,182,183,200,238,233,225,214,180,140,115,102,105,120,119,113,113,166,195,195,195,193,192,189,158,163,169,174,178,181,181,205,240,235,228,206,168,134,115,106,106,113,112,111,148,191,195,195,194,193,191,189,156,161,167,171,175,179,180,208,238,233,223,188,152,126,114,109,110,111,112,143,188,195,195,195,193,192,190,188
20,194,196,199,201,204,205,207,208,208,209,211,212,212,211,211,214,211,212,211,212,211,211,209,208,207,207,207,205,195,199,201,203,205,208,208,209,211,211,212,214,212,225,215,201,214,214,213,213,213,212,212,211,210,209,208,207,197,201,203,205,207,209,211,212,212,213,214,216,210,242,218,167,214,198,215,214,214,214,214,213,212,211,208,208,200,202,205,206,209,212,212,214,215,215,217,219,213,245,218,173,231,167,209,219,215,216,216,214,214,213,211,210,201,205,207,208,211,213,214,215,216,218,219,221,215,246,219,182,246,172,196,225,219,219,218,217,216,214,213,212,203,207,208,210,213,215,216,217,219,220,220,222,216,252,234,184,249,189,189,227,220,221,220,219,218,217,215,214,204,207,210,212,215,217,218,219,221,221,223,225,219,255,226,190,255,201,187,229,223,224,223,221,220,219,218,216,206,208,211,213,216,218,220,222,221,222,222,223,225,255,215,201,255,199,183,230,225,226,225,223,222,221,220,219,207,210,213,215,218,220,221,222,224,223,237,235,223,255,219,203,255,192,182,233,226,226,226,225,223,222,221,220,209,212,214,217,219,222,223,224,222,227,255,255,219,189,202,203,255,192,188,235,226,228,228,226,225,224,223,222,211,214,216,219,220,222,225,224,240,250,235,239,222,166,146,180,231,184,194,237,229,230,228,228,226,226,225,224,212,215,218,220,223,225,224,233,255,255,222,196,226,206,195,167,187,174,194,239,231,231,230,229,228,227,226,225,213,215,218,222,224,227,225,242,244,204,247,217,199,241,236,184,154,155,195,239,232,233,231,230,230,229,228,227,214,218,220,223,225,227,225,244,244,163,163,165,142,215,238,196,156,145,193,240,233,235,232,232,232,231,230,229,216,218,221,224,226,229,227,247,230,199,182,150,146,159,248,230,178,139,192,243,235,236,234,233,234,233,231,230,217,220,223,225,227,231,227,251,255,225,185,163,170,157,238,255,203,141,183,246,236,238,236,235,235,234,232,231,217,221,224,227,229,232,228,255,255,205,174,167,181,185,241,255,224,160,175,246,237,239,237,236,236,235,234,232,219,223,225,228,231,233,229,255,255,211,186,184,192,208,255,255,231,175,174,246,238,239,238,237,238,237,235,235,220,224,227,229,232,234,232,255,255,224,199,196,205,241,255,255,222,180,170,246,239,240,240,239,239,238,236,236,221,225,228,230,232,237,234,255,255,237,205,206,220,255,255,255,215,179,171,245,241,242,241,241,241,239,237,236,222,224,227,230,233,236,233,252,255,245,216,209,231,255,255,248,214,175,165,246,244,243,242,242,242,241,239,237,223,224,227,230,233,236,233,250,255,247,227,221,233,255,255,233,210,170,160,244,243,242,241,240,241,240,239,237,223,225,229,232,234,236,236,243,255,253,239,239,231,255,250,226,206,165,157,245,245,244,243,241,241,240,237,240,222,226,231,233,235,236,239,239,255,255,245,247,226,241,234,212,198,158,160,250,245,245,244,244,241,240,245,232,224,227,231,232,235,238,239,237,255,255,250,237,215,216,217,198,200,148,176,255,245,248,245,243,248,245,222,166,225,228,231,232,236,237,246,249,255,255,245,219,190,194,209,196,193,135,206,255,247,248,246,251,227,175,144,132,226,230,233,237,239,244,217,149,207,255,221,199,178,190,216,189,171,140,249,252,249,250,253,216,154,141,136,129,197,201,206,209,212,220,160,65,155,255,230,202,178,201,220,168,152,107,177,245,240,246,213,148,139,135,127,125
0,164,164,166,166,166,167,167,167,167,167,167,167,167,166,167,167,166,166,165,165,165,165,163,162,162,162,162,161,166,166,167,168,168,168,168,168,167,167,167,168,168,168,168,168,167,167,167,166,166,165,163,163,163,164,163,163,168,169,169,170,170,170,170,170,169,169,169,169,169,169,167,166,166,166,164,164,165,162,154,162,164,164,164,164,170,171,171,171,171,172,172,172,171,171,169,168,169,170,158,146,152,159,149,142,153,154,132,152,165,165,165,165,171,172,172,172,172,173,173,173,173,173,164,153,162,174,157,131,121,145,142,127,120,134,127,132,160,165,166,166,171,172,172,173,173,174,173,171,172,180,165,141,146,173,161,137,113,140,146,132,105,104,132,123,138,156,166,167,172,173,173,174,174,175,175,161,157,178,171,150,145,172,163,141,112,142,148,131,103,82,121,132,119,125,158,168,172,174,174,175,175,181,184,166,145,161,176,155,141,173,167,139,107,141,144,120,99,65,101,141,128,105,142,167,174,175,175,176,177,185,186,177,154,142,172,157,134,168,167,135,100,121,128,105,88,59,105,152,140,107,133,167,175,176,176,177,180,180,176,176,154,125,156,155,126,150,157,125,90,89,103,93,77,63,124,159,143,108,127,167,175,176,176,176,179,170,152,156,136,106,129,140,113,118,130,106,82,66,86,98,83,82,136,157,139,105,122,166,175,176,177,177,180,176,154,146,120,91,106,119,98,90,104,95,79,74,111,134,125,121,138,146,132,101,117,165,176,178,179,180,183,185,164,147,120,93,94,108,94,75,93,110,115,134,155,155,145,135,127,128,123,100,113,164,178,179,180,181,187,187,167,147,125,101,87,109,105,81,110,153,168,173,168,156,144,131,117,111,111,99,111,162,179,180,180,181,192,196,181,161,139,116,101,115,120,127,161,181,182,175,165,152,138,124,109,101,100,96,121,166,180,181,181,183,195,201,189,169,151,140,136,141,155,173,185,185,178,169,159,146,132,116,102,96,95,102,145,174,181,182,183,184,199,206,192,174,159,153,153,162,174,183,187,182,172,164,152,138,125,108,97,95,97,131,169,178,181,182,184,186,200,209,198,183,170,162,163,172,181,184,183,175,167,159,144,129,116,103,95,93,116,164,178,179,181,182,183,185,199,210,204,190,176,167,166,174,181,181,176,165,157,149,135,120,108,99,93,103,148,177,180,180,182,183,184,185,195,209,208,195,179,166,162,166,171,170,166,155,143,137,122,111,103,96,101,138,173,181,181,181,184,184,185,186,191,203,203,192,177,164,159,162,165,166,162,149,136,128,113,102,98,107,139,171,181,182,182,182,185,185,186,186,188,194,193,182,171,160,159,161,159,163,158,146,134,122,106,95,109,148,175,182,182,183,183,182,185,186,187,187,188,190,185,180,174,167,169,163,151,157,155,140,126,113,96,99,146,178,184,184,183,183,184,183,186,187,187,187,188,190,190,190,184,175,172,163,145,150,151,135,119,103,89,124,175,185,186,185,184,184,184,184,186,187,187,187,188,192,200,198,188,172,167,159,141,145,142,129,113,95,93,151,185,186,187,186,185,185,185,185,186,187,188,188,187,190,204,199,185,166,163,157,140,138,133,124,109,89,102,167,187,187,187,186,186,186,186,185,187,187,188,188,187,188,200,194,179,162,163,159,137,130,128,120,106,88,109,175,188,188,188,187,187,187,186,185,186,187,187,188,187,188,198,189,174,160,163,157,133,130,127,117,104,87,111,176,188,188,188,188,187,187,187,186
1,161,161,162,162,163,164,164,163,164,164,163,163,162,163,162,160,160,161,158,156,155,154,153,152,151,150,148,146,166,165,165,166,166,167,167,167,167,167,166,166,166,165,164,165,162,151,160,160,159,158,158,155,154,153,150,149,170,169,169,169,169,170,170,170,171,170,169,170,169,168,165,159,173,116,141,174,160,161,160,158,158,154,153,152,173,173,172,172,173,173,173,173,173,173,173,173,172,171,177,122,155,123,107,149,166,164,162,160,159,158,156,155,176,174,175,175,176,177,177,176,176,176,177,177,175,175,179,109,151,118,68,93,147,171,164,164,162,161,159,156,178,178,178,178,178,178,179,179,179,178,180,180,180,182,167,101,160,100,92,116,119,177,165,166,165,163,161,159,180,181,181,181,181,181,182,182,180,179,181,176,151,182,156,105,174,101,112,127,106,179,167,168,167,166,164,161,184,184,184,184,185,185,185,185,184,184,183,178,113,163,155,120,169,90,122,134,107,181,171,172,169,168,167,164,186,186,185,187,188,186,186,186,186,185,186,174,106,165,129,137,156,87,146,141,108,181,173,174,172,170,169,167,189,188,189,188,188,188,188,187,188,187,192,162,105,170,115,152,156,101,168,129,107,185,175,176,174,172,172,169,191,191,191,191,191,192,191,191,191,190,193,152,102,180,119,154,161,99,164,127,112,188,176,177,177,175,173,171,192,191,192,193,192,193,194,193,192,193,195,133,104,185,106,141,147,85,167,136,121,190,180,179,178,177,175,173,194,194,193,194,194,194,194,195,194,194,196,132,106,173,85,138,133,86,175,127,119,193,182,181,180,179,177,175,195,195,196,195,195,197,196,196,196,197,190,119,112,158,125,153,153,112,130,114,123,195,184,184,182,180,178,177,197,198,198,198,197,197,198,197,197,197,176,146,149,126,138,140,141,138,117,102,102,189,186,186,185,183,181,179,198,198,199,199,198,199,199,199,198,196,183,157,125,110,116,135,147,126,118,134,93,167,194,186,187,184,181,180,199,200,200,200,200,200,200,200,199,199,180,134,104,110,116,148,153,130,166,165,104,139,201,186,187,185,183,181,200,200,201,201,201,200,202,203,200,194,177,131,100,120,126,155,163,175,140,166,138,116,198,189,189,187,186,184,200,201,202,203,203,203,203,204,201,188,183,144,97,110,141,161,170,183,154,149,137,91,187,193,191,189,187,186,203,203,203,204,204,204,204,205,200,184,188,156,111,100,142,165,172,171,155,138,102,75,189,194,191,190,188,186,204,205,205,205,205,205,205,207,202,180,186,159,123,100,134,180,185,181,150,123,82,106,205,192,193,192,190,188,205,205,206,205,206,206,206,207,204,177,172,158,130,110,144,192,183,172,137,110,68,162,205,193,193,192,191,188,204,205,206,206,206,206,206,207,207,184,173,158,138,121,156,187,175,154,123,88,86,202,197,196,194,193,193,190,203,204,205,204,205,205,206,206,209,191,169,166,151,125,156,177,164,135,107,64,137,209,196,196,194,193,192,190,203,204,205,205,205,206,206,206,208,198,170,170,154,130,145,155,136,112,75,72,195,199,197,195,193,192,190,188,204,204,205,206,206,207,207,206,209,196,176,170,152,134,136,139,114,85,57,164,206,197,198,196,193,192,190,188,204,205,205,206,206,206,206,207,209,185,181,170,163,148,129,122,93,58,154,213,198,200,198,198,195,195,198,188,204,205,205,207,206,206,207,209,202,173,186,175,171,145,124,101,63,96,212,200,202,200,198,197,197,182,155,106
23,187,188,189,192,192,192,193,194,195,196,198,198,199,197,196,197,197,196,197,196,197,197,197,197,197,197,195,194,189,189,190,193,193,194,196,196,198,198,198,197,199,202,213,220,213,195,192,197,195,196,197,198,198,198,197,196,190,191,192,194,195,196,197,198,199,199,204,211,220,231,234,227,211,197,187,183,160,182,199,201,200,199,199,198,191,192,194,195,197,198,198,200,201,202,238,243,226,219,211,190,160,158,153,141,143,192,201,201,201,201,201,201,193,194,195,196,198,199,200,201,199,211,253,235,195,188,167,148,168,169,164,171,192,201,201,202,203,202,202,202,194,194,195,198,200,201,202,202,199,221,254,225,174,139,154,183,203,205,203,204,203,203,203,205,204,203,203,203,195,195,198,200,201,202,204,204,202,236,250,220,181,157,201,210,218,217,196,204,205,205,205,206,206,205,204,204,196,198,200,201,202,203,204,204,208,248,244,226,178,168,227,240,246,232,169,193,209,207,206,208,208,207,207,206,198,200,201,202,203,205,206,203,217,252,237,231,197,225,252,251,241,212,155,148,166,201,209,209,208,208,208,207,200,201,202,204,205,207,207,203,231,253,236,240,249,253,248,235,221,208,201,163,112,163,211,209,208,209,209,208,201,203,204,206,207,207,208,209,244,252,245,244,247,247,241,235,234,233,229,190,123,133,209,212,212,211,211,210,203,204,206,207,208,208,209,232,249,248,244,239,241,243,243,240,233,221,206,173,122,111,173,213,213,214,212,212,204,204,207,208,208,206,228,251,251,251,245,238,234,236,237,230,219,208,205,184,120,104,130,208,214,214,214,214,205,207,209,210,209,207,237,255,254,253,247,233,228,231,232,227,218,212,212,191,126,100,135,213,216,215,216,216,207,208,210,212,211,212,234,255,254,254,251,241,239,232,223,217,207,201,195,168,125,103,165,219,217,216,216,217,208,209,210,213,216,214,228,255,254,255,252,242,240,220,191,187,177,169,160,155,125,119,198,221,218,218,217,217,209,210,211,214,216,215,225,254,255,255,249,238,232,207,165,134,116,123,149,151,123,142,218,222,220,219,218,218,211,212,213,214,216,215,223,253,255,255,247,236,221,197,165,127,62,94,149,149,122,172,224,222,221,222,221,219,212,213,215,216,216,216,221,251,254,255,248,235,236,228,163,99,72,115,142,131,119,196,224,222,222,223,222,220,214,215,216,217,218,218,220,250,255,255,249,241,240,219,160,100,90,124,119,112,133,219,224,222,223,224,223,222,214,216,216,218,220,220,220,248,255,254,250,245,240,208,162,122,88,101,108,113,148,226,223,223,224,225,224,223,215,217,217,219,221,222,221,245,255,255,250,249,242,208,164,132,88,97,115,117,164,229,226,226,226,227,225,225,216,217,218,220,222,223,222,245,255,254,251,250,240,208,166,138,104,107,122,119,187,230,227,228,228,228,228,227,216,217,219,222,223,224,222,245,255,254,252,248,237,209,170,141,114,116,125,125,210,228,228,228,228,229,228,227,216,218,220,222,223,225,222,245,255,254,251,244,228,201,167,140,122,118,121,149,228,229,229,229,229,229,229,228,217,220,221,222,224,226,224,244,255,254,247,233,215,190,159,139,129,121,118,194,233,230,230,231,231,230,230,229,220,222,223,224,224,228,225,244,255,254,243,222,200,174,152,141,131,119,146,226,232,231,231,232,231,231,231,230,221,222,224,225,226,229,227,245,255,254,242,219,198,173,152,140,130,129,206,233,231,231,232,232,232,232,231,230
16,94,105,112,116,121,127,133,138,142,145,148,152,156,158,162,164,166,167,168,169,171,171,171,172,173,173,174,174,98,109,116,119,124,130,136,142,145,148,151,156,159,162,165,168,170,170,174,175,175,176,175,177,177,176,177,177,101,112,118,121,127,134,140,145,149,152,155,159,163,166,169,172,174,172,168,165,169,176,181,180,179,180,181,180,103,114,119,124,130,136,142,148,151,155,157,160,164,168,172,169,157,148,135,118,112,113,133,173,185,182,184,184,106,117,122,126,132,139,146,152,155,159,163,166,167,162,152,141,136,139,128,110,100,90,73,89,160,187,185,186,108,118,123,128,134,141,148,154,156,159,158,151,144,138,134,137,130,123,116,93,91,94,72,59,82,178,191,189,109,120,124,128,137,144,151,153,167,161,143,121,128,129,138,124,115,118,98,77,77,78,67,66,56,139,197,190,112,122,127,131,140,146,152,166,189,172,174,122,138,155,140,108,116,103,86,73,71,68,64,66,58,117,197,192,114,123,129,133,142,148,155,173,167,171,171,133,169,172,105,102,100,76,75,67,63,62,66,68,58,135,200,195,117,127,131,137,144,150,158,154,159,180,154,147,189,164,106,97,79,66,64,63,62,59,64,68,65,165,201,198,120,129,133,138,145,151,159,157,167,186,166,162,184,145,130,112,84,62,59,62,63,62,63,60,94,191,200,200,120,131,135,139,147,154,161,165,166,182,176,162,179,158,137,107,80,62,56,59,64,64,64,57,128,203,203,203,122,133,135,141,150,158,163,168,162,182,177,173,176,152,115,83,67,54,58,63,66,66,63,62,163,207,202,204,125,132,135,143,151,159,166,171,168,180,183,180,158,125,85,63,42,38,61,71,66,66,62,72,188,206,203,205,127,135,138,144,152,160,167,171,174,180,184,168,132,94,62,22,6,45,66,74,68,66,57,88,205,206,206,207,131,138,140,147,156,163,168,173,176,174,170,140,103,79,21,0,2,46,69,82,79,71,50,106,212,205,206,207,131,138,143,149,158,163,169,174,179,165,146,112,88,56,0,0,1,32,65,84,88,71,46,127,219,207,209,208,132,140,144,150,159,164,170,176,181,168,127,92,73,38,12,3,17,18,54,92,89,67,51,139,220,207,210,211,135,140,144,152,161,166,173,177,183,164,107,65,53,54,50,32,31,38,68,100,79,69,53,149,221,210,212,212,138,141,145,153,161,167,174,178,183,157,87,83,66,43,53,48,47,86,88,104,74,69,54,164,223,212,213,214,138,142,146,154,163,170,174,183,175,131,66,184,190,121,90,67,103,105,100,101,69,68,54,171,222,211,214,214,138,141,147,155,162,169,172,170,153,78,119,206,197,195,172,137,111,106,120,100,63,65,49,162,224,213,217,218,138,141,147,155,164,169,168,159,110,73,189,196,195,183,163,135,104,124,132,103,62,62,49,137,232,220,214,210,138,143,147,155,162,175,181,139,62,154,202,195,194,184,159,136,106,134,140,106,64,59,60,71,111,91,122,165,138,142,149,153,172,204,151,69,120,194,190,196,192,182,155,135,106,131,148,114,57,61,64,47,29,31,95,118,140,142,148,151,193,152,86,132,192,188,193,194,189,179,158,136,106,111,149,128,60,61,61,53,29,65,61,52,139,143,149,156,169,135,161,190,184,190,193,196,187,176,156,135,108,92,136,142,75,59,59,45,0,40,57,47,139,144,151,159,166,178,181,180,186,190,193,196,183,174,158,129,103,92,100,131,94,61,60,33,0,26,57,40
4,173,174,174,175,176,174,174,174,175,173,172,173,173,171,169,170,172,171,168,167,166,165,165,165,163,162,160,160,175,175,176,177,177,178,176,176,176,174,173,175,173,177,179,168,156,158,171,168,168,167,166,166,165,164,162,162,177,178,179,179,180,180,179,177,176,180,189,187,167,147,180,206,174,125,116,180,173,171,166,167,167,165,165,164,180,181,182,181,181,182,178,181,185,150,180,198,171,114,89,172,171,118,71,121,150,155,174,170,168,165,167,165,181,181,182,183,183,177,194,208,174,124,88,172,152,102,63,125,143,94,71,57,105,99,115,175,167,167,167,167,182,183,182,184,184,182,221,214,160,124,69,154,143,100,56,103,129,95,66,67,100,81,62,166,173,170,168,168,184,184,183,186,183,193,216,209,172,183,92,115,175,151,54,82,156,132,72,82,109,79,62,163,175,171,170,169,184,185,185,187,185,193,221,187,195,211,116,87,203,158,57,65,173,139,68,88,153,113,76,166,176,172,171,170,185,187,186,188,188,187,221,200,187,158,95,72,145,120,69,64,109,117,41,85,188,127,96,176,175,174,172,172,187,188,188,189,187,193,234,224,197,162,126,105,76,73,77,97,146,154,83,76,140,103,126,184,176,174,174,173,189,189,190,193,185,209,240,212,181,165,144,132,116,130,137,155,191,148,107,83,79,57,158,184,178,176,175,174,191,191,191,194,186,221,228,189,156,132,142,204,170,177,194,162,172,135,126,95,81,73,169,182,179,178,178,175,191,193,193,194,190,231,226,191,165,138,136,198,172,175,185,174,157,153,149,109,69,64,166,184,177,179,178,175,192,195,195,193,197,240,228,197,169,143,119,136,145,141,157,138,132,180,171,125,81,57,161,188,179,180,179,178,195,196,197,192,205,242,221,199,166,127,115,104,87,90,134,98,116,191,184,135,95,60,150,192,181,181,180,180,197,198,198,193,215,240,222,199,154,126,128,120,99,124,193,188,148,190,197,134,106,61,140,194,181,181,180,179,198,198,200,194,219,238,223,195,152,133,140,122,105,197,222,205,190,166,185,141,115,72,121,197,182,183,182,181,199,199,202,195,224,238,214,171,151,151,141,109,165,228,223,206,181,172,148,132,112,77,132,197,184,185,182,181,201,201,202,197,228,233,202,169,179,151,124,126,222,230,223,202,171,155,136,109,99,71,169,191,186,185,183,182,202,203,201,208,236,228,198,186,184,145,111,176,234,224,209,188,165,141,126,103,79,84,192,187,188,186,184,183,203,202,212,158,219,231,197,188,189,137,147,205,232,210,193,178,159,133,111,95,56,140,199,188,188,187,185,184,203,211,191,71,105,213,206,192,182,126,160,204,219,195,183,171,146,119,101,75,80,193,191,190,191,189,187,185,208,205,98,76,67,89,171,188,156,120,140,197,200,180,167,154,131,106,88,57,159,202,192,193,193,190,189,187,218,129,68,77,78,65,75,119,122,103,127,166,178,162,149,135,114,94,58,107,205,193,194,194,194,192,190,188,154,79,84,70,65,73,67,60,65,91,117,136,154,140,129,109,95,64,71,195,200,196,196,195,194,193,190,188,81,80,80,67,65,65,64,71,50,55,85,104,122,105,91,83,66,56,172,206,198,199,199,197,195,193,192,190,84,79,67,66,62,63,61,64,63,22,37,49,64,64,51,46,53,164,211,198,201,200,200,197,195,194,193,192,78,71,65,65,60,59,56,57,69,37,16,31,30,31,34,14,105,220,200,202,202,201,201,199,197,195,194,192
10,38,86,88,93,100,107,117,130,141,145,149,154,159,165,169,171,176,176,179,181,181,181,181,183,184,183,181,180,46,88,89,94,101,108,119,131,142,148,153,157,164,168,172,176,177,192,178,183,185,184,185,185,184,184,184,183,52,90,90,96,102,108,122,135,145,151,157,163,169,173,177,176,188,234,153,167,192,186,189,187,187,186,186,185,60,90,92,98,103,109,124,138,149,155,160,167,172,175,180,179,195,232,165,145,198,190,192,191,191,190,189,187,67,91,93,99,104,111,126,141,152,154,161,169,175,180,184,184,192,235,196,138,197,194,194,194,193,193,192,190,73,91,94,99,104,113,129,144,152,175,171,167,182,185,187,189,189,244,230,139,189,201,198,196,195,195,194,193,80,93,96,100,105,115,131,145,156,238,169,113,170,189,191,194,192,240,231,147,177,208,201,200,200,200,198,196,85,92,96,101,107,117,133,147,157,198,151,109,104,202,171,160,201,233,242,154,161,213,203,204,203,203,201,200,87,91,96,102,109,117,134,150,161,168,159,130,113,194,133,129,204,238,254,162,143,217,206,207,206,205,204,203,90,93,96,103,109,118,136,151,164,169,176,165,158,208,131,78,194,235,215,151,115,213,211,211,210,208,207,206,93,95,98,103,108,119,139,154,166,172,176,194,175,211,149,77,148,217,147,121,97,203,216,212,213,212,210,209,94,95,98,104,108,120,141,157,169,173,178,189,182,215,176,136,99,130,112,117,91,193,222,216,217,215,212,212,96,96,98,104,109,121,142,158,170,175,180,194,208,170,203,189,155,88,80,104,91,167,231,218,219,218,216,214,97,97,98,103,109,123,143,159,173,177,177,220,227,141,151,237,199,160,104,90,85,123,234,221,223,221,219,219,96,97,98,104,110,124,144,161,175,178,188,213,241,191,88,189,238,194,161,84,71,96,230,227,227,225,223,220,97,97,98,104,109,124,146,163,173,190,244,177,216,180,105,171,255,211,174,91,62,97,230,230,228,228,226,224,98,96,99,105,109,126,147,165,172,200,255,183,153,198,148,239,240,199,173,107,71,70,209,239,230,231,229,227,98,97,99,105,109,127,149,166,177,186,239,207,135,234,214,255,244,193,166,116,80,63,204,243,234,234,230,230,98,98,99,105,109,127,150,166,180,179,216,212,145,237,172,226,247,205,152,111,87,70,216,243,236,237,234,231,99,98,100,105,109,129,151,169,181,181,212,234,196,193,103,247,242,191,146,108,91,80,227,243,238,238,238,234,99,98,98,103,108,130,151,169,182,188,188,251,251,181,149,255,231,184,141,104,92,87,234,245,240,239,237,236,99,98,99,103,109,130,151,171,183,187,192,224,255,255,236,255,218,173,134,106,96,97,243,245,243,241,239,238,99,97,98,103,109,130,152,170,183,187,195,211,255,255,235,218,197,159,132,116,93,119,254,243,244,243,241,239,99,96,95,100,108,130,150,169,181,185,195,198,189,255,207,177,190,173,152,136,89,144,255,241,244,243,241,239,97,94,95,98,106,129,150,169,180,184,201,184,49,236,186,198,206,204,191,155,81,145,255,242,245,244,243,240,95,91,93,97,103,127,150,169,182,183,204,173,6,193,248,221,188,197,181,126,60,53,251,248,246,245,243,241,91,87,89,94,101,124,147,168,179,183,204,142,11,114,203,183,156,158,125,62,7,90,255,244,246,245,243,241,98,92,93,94,101,124,146,165,177,183,197,120,28,63,63,54,44,46,31,11,0,149,255,242,245,244,244,242
0,223,223,224,222,224,224,223,225,225,225,225,228,225,225,225,222,225,225,225,226,225,225,225,226,224,223,223,223,224,223,223,223,225,227,227,229,227,226,223,225,225,225,226,225,226,224,226,228,225,226,227,226,227,224,224,224,225,225,225,226,227,229,229,227,228,230,226,228,230,229,228,229,229,226,227,228,228,227,227,226,228,224,224,223,227,227,227,228,229,230,227,226,221,200,217,231,219,226,231,225,223,232,234,231,233,229,226,228,229,226,224,224,228,229,229,229,230,230,226,234,230,159,109,172,191,166,182,213,198,169,203,222,214,227,233,229,228,229,227,226,227,230,229,231,230,230,232,227,229,163,62,105,203,143,86,167,197,117,85,159,146,127,168,226,230,226,229,228,229,230,230,230,229,227,225,189,211,178,105,87,179,130,70,134,168,103,61,138,140,81,71,145,229,229,228,229,231,232,231,232,230,223,215,178,165,201,152,68,130,133,58,124,154,89,62,152,137,79,79,124,153,243,228,229,230,232,232,233,232,225,214,186,140,150,147,59,112,129,44,108,174,104,56,159,159,85,87,165,106,177,243,229,231,233,233,234,234,225,211,184,142,111,102,67,117,111,30,119,173,86,66,179,172,142,126,136,119,90,232,233,233,233,233,234,232,223,214,204,175,121,94,85,100,85,47,104,138,99,167,188,170,157,128,100,87,79,224,234,233,234,235,236,234,226,222,211,197,165,107,84,77,90,109,107,141,190,203,191,178,146,123,107,76,96,237,233,235,236,237,237,236,228,228,215,206,194,151,91,86,99,109,141,197,208,207,199,180,141,113,102,68,125,251,231,235,235,236,237,235,223,235,225,217,211,184,131,123,113,119,175,205,211,220,205,173,136,108,97,61,177,249,232,236,235,236,237,238,211,232,235,226,221,201,170,158,143,131,177,192,213,224,207,166,130,107,84,89,228,239,234,237,237,237,236,241,213,217,240,238,231,210,191,180,166,150,164,199,220,216,198,154,117,112,73,153,248,234,237,235,238,238,237,242,224,199,236,244,237,220,204,190,181,169,160,183,213,209,187,145,110,107,70,210,245,235,238,237,238,239,237,236,242,187,219,241,242,229,212,202,192,173,160,167,192,192,163,129,108,85,96,241,238,237,237,238,238,240,239,236,247,204,193,238,243,231,206,201,188,172,162,162,176,176,138,112,102,61,161,253,234,238,239,239,239,239,241,242,240,235,182,233,241,218,194,201,183,175,165,146,153,161,126,109,78,98,237,240,237,238,240,240,240,239,241,241,240,240,200,235,240,221,206,215,196,179,161,135,135,142,124,95,71,203,247,240,242,241,241,240,240,240,242,241,240,242,208,236,245,232,213,226,203,176,161,134,125,131,123,72,144,250,237,242,245,242,241,240,240,240,241,241,241,244,198,226,244,239,219,223,199,173,156,137,123,126,119,64,198,248,238,242,245,242,241,240,240,240,240,240,242,246,198,223,246,240,221,211,195,171,154,141,122,118,106,76,224,242,240,241,243,242,241,239,240,239,240,241,242,239,214,230,242,238,223,209,193,175,154,141,124,109,95,90,244,242,241,241,241,242,242,238,240,241,240,242,243,230,221,240,228,231,219,205,191,175,153,139,123,105,90,106,250,238,242,241,241,242,242,239,240,241,242,241,243,227,219,230,227,231,209,195,186,173,153,133,115,102,81,133,246,234,242,241,242,242,241,239,240,242,241,240,244,224,213,226,231,229,208,186,176,168,151,128,103,97,71,169,242,236,242,242,242,242,242
1,165,167,170,171,173,174,174,175,177,177,177,178,178,175,178,181,176,179,179,178,177,178,178,178,178,178,177,177,167,170,173,174,175,177,178,178,179,179,178,180,182,185,165,150,182,179,180,180,179,179,179,180,181,180,178,178,171,174,175,178,178,179,178,179,181,181,180,183,171,189,178,94,182,188,180,181,181,181,182,182,183,182,181,180,174,176,176,179,180,181,181,181,183,186,182,202,160,143,188,91,153,166,183,184,185,185,185,185,185,184,183,183,175,177,179,182,182,184,184,184,185,187,182,206,156,138,190,96,121,125,140,196,184,187,186,187,188,187,185,185,177,179,181,183,185,185,187,187,187,187,187,206,160,141,202,125,120,151,101,195,187,188,188,189,188,188,187,187,179,181,183,185,186,187,188,188,189,189,168,208,176,128,204,145,113,161,98,178,194,190,191,190,189,189,189,188,181,183,186,187,186,188,191,190,191,200,129,171,197,118,190,155,121,181,121,152,199,191,194,193,193,192,191,190,182,185,186,187,190,191,192,192,194,204,119,163,197,118,174,166,129,197,152,126,202,193,195,195,194,194,193,192,183,186,188,188,192,193,195,193,197,210,126,165,195,122,179,180,127,174,181,115,186,200,197,196,195,194,194,193,186,188,190,191,193,194,197,195,201,210,128,176,215,139,165,198,124,153,197,124,160,208,197,197,198,197,197,197,186,188,190,192,194,196,198,196,203,200,126,167,216,134,130,193,118,153,209,139,134,209,197,200,199,199,199,197,188,190,193,194,195,197,199,197,206,199,148,130,206,106,118,186,118,134,204,157,118,205,201,201,201,200,200,198,188,191,193,195,196,197,199,197,211,202,141,101,193,172,155,147,169,179,154,139,112,192,206,202,202,201,201,200,189,192,194,196,199,198,200,198,212,192,141,145,144,206,159,161,196,165,137,144,103,163,212,201,203,203,203,201,192,193,195,196,199,199,200,201,208,191,183,178,118,173,180,209,199,178,135,130,113,117,215,204,205,205,204,202,192,194,197,198,199,200,201,202,208,185,171,161,123,171,210,208,180,206,188,143,110,93,201,210,205,206,206,205,191,194,196,199,199,201,201,205,217,180,154,147,175,189,179,160,129,216,222,199,150,82,177,215,205,207,207,206,191,193,194,198,199,199,199,205,226,188,145,148,139,135,126,119,154,199,216,196,169,118,154,220,206,208,207,206,191,193,194,196,198,199,200,204,234,205,144,143,143,142,157,188,222,200,194,181,144,111,137,219,205,207,207,206,192,194,196,197,199,199,199,202,232,222,154,148,166,163,214,225,220,210,189,170,136,82,135,220,205,207,207,207,193,194,197,199,200,200,201,203,229,236,174,158,178,160,209,228,226,215,184,157,128,77,129,220,206,207,208,207,191,193,196,199,200,201,202,202,225,237,190,170,194,159,206,235,233,214,177,146,119,78,148,221,207,208,208,207,192,192,195,199,200,201,202,199,216,233,204,185,205,160,191,236,231,202,169,139,109,82,182,217,209,210,209,209,198,199,200,203,205,205,206,203,209,228,217,200,197,175,170,236,226,193,164,132,98,87,206,212,210,211,209,209,160,165,170,176,178,180,185,187,191,223,229,215,189,178,150,224,216,183,153,122,91,107,223,216,220,220,212,210,91,95,97,98,99,102,105,107,104,208,227,203,182,169,146,197,201,171,139,116,96,107,160,162,163,164,190,216,98,100,101,101,102,102,102,105,89,178,217,190,178,167,149,177,189,165,130,113,103,96,94,94,118,175,195,204
0,148,149,148,149,148,148,148,148,147,146,145,146,145,144,143,143,142,142,140,139,139,137,137,136,135,134,132,132,149,150,149,150,150,149,149,149,148,147,146,147,146,146,145,144,143,143,142,141,140,138,137,136,135,134,134,134,149,150,150,150,151,150,150,150,149,148,147,147,147,146,146,145,143,142,142,141,140,140,138,137,136,135,134,133,151,151,151,151,151,152,152,151,150,149,149,148,151,151,146,148,148,145,141,141,140,140,140,138,137,136,134,134,150,152,153,153,152,152,151,150,152,153,149,138,113,122,151,133,120,135,148,144,145,143,139,141,139,138,136,134,152,154,153,154,153,151,151,144,126,135,147,121,94,69,108,110,84,68,126,121,109,131,144,135,138,138,137,136,154,154,153,154,153,152,151,136,110,90,117,132,97,68,77,119,91,62,62,96,69,56,122,111,108,143,136,136,154,154,154,154,153,153,153,149,129,104,80,129,104,76,77,123,98,67,66,110,87,45,65,109,82,145,136,136,155,155,155,154,153,157,150,143,134,113,69,116,110,79,77,123,100,68,57,106,88,52,43,100,76,137,139,138,156,155,155,155,154,158,147,113,135,98,60,117,107,73,71,115,92,60,43,88,73,44,39,100,65,109,146,138,156,156,156,155,155,154,124,91,130,82,58,111,88,55,64,104,80,50,47,100,81,36,43,105,86,68,136,141,156,156,156,156,157,155,136,111,128,92,70,104,88,53,63,106,80,41,80,119,88,29,48,105,98,58,96,149,157,158,157,156,159,151,132,111,114,99,73,109,104,55,78,120,92,45,104,126,65,24,86,112,98,51,84,149,157,159,159,158,155,131,106,92,80,67,62,119,102,51,85,125,95,48,24,52,19,55,116,115,84,41,121,143,159,159,159,159,155,134,109,87,63,54,51,78,82,47,44,83,66,44,49,21,41,110,117,104,55,74,149,139,159,158,160,157,149,133,113,87,68,67,69,62,69,67,54,57,87,113,119,105,92,113,104,80,41,127,146,140,160,160,160,156,149,136,116,92,70,64,70,76,90,101,106,121,130,121,111,112,88,91,94,48,67,152,141,142,160,161,161,159,152,137,118,100,78,70,72,84,110,121,131,133,127,116,107,102,79,72,77,30,117,150,142,143,160,161,161,159,154,137,122,105,87,86,75,106,135,135,135,132,123,111,104,98,71,59,41,60,152,146,145,142,161,161,160,159,156,142,127,112,100,98,102,132,140,137,137,130,119,107,98,86,61,36,41,136,149,146,146,144,161,161,161,159,157,143,130,119,110,104,127,136,139,141,136,122,113,100,87,72,39,33,132,152,145,146,146,145,161,162,162,157,154,147,135,123,111,109,135,136,141,140,128,112,101,92,77,50,25,124,154,146,148,148,146,145,161,162,162,156,152,149,138,127,112,107,133,137,134,130,115,100,89,79,57,24,114,158,147,149,148,149,147,146,162,163,163,158,153,151,142,134,121,110,129,135,125,116,104,89,75,53,23,105,160,149,151,150,148,149,147,146,162,162,164,160,156,147,141,135,127,116,127,127,115,103,94,77,52,22,102,160,150,152,150,150,148,148,147,147,161,161,164,159,153,145,150,146,135,122,123,119,102,92,83,55,22,107,164,152,153,153,151,151,150,148,147,147,162,162,163,158,155,144,152,147,130,119,115,111,92,77,64,30,109,166,153,155,155,154,152,152,150,149,148,147,163,164,161,155,149,137,148,137,125,118,110,97,83,69,37,75,167,155,156,155,155,153,153,151,149,150,149,148
4,99,102,104,107,109,112,116,119,119,121,124,125,126,128,131,131,130,131,132,133,134,134,134,133,134,134,133,132,100,103,105,108,110,114,118,120,121,122,125,126,129,129,130,133,135,132,134,135,134,136,135,135,136,136,134,134,101,105,106,108,112,115,118,120,123,124,126,132,127,137,126,97,118,140,132,134,139,136,137,137,137,137,136,136,103,106,107,110,113,116,119,122,123,127,120,115,132,158,137,98,78,125,117,86,122,142,137,139,139,138,137,137,104,107,108,112,115,118,121,120,133,155,126,109,110,156,141,123,94,82,120,81,68,136,141,140,141,140,139,140,106,107,108,111,116,119,124,117,150,179,151,136,94,126,154,123,106,64,109,99,66,104,148,139,141,141,140,141,106,108,109,112,117,120,121,120,142,163,174,152,114,94,159,132,106,59,104,105,69,97,150,141,142,143,142,142,106,109,111,114,119,118,132,139,129,127,140,160,116,69,121,138,92,55,98,104,63,95,151,141,142,142,143,142,107,109,112,115,120,115,155,170,155,143,112,96,93,58,75,104,71,55,83,88,57,105,151,142,144,143,143,143,107,109,112,116,121,116,160,157,154,149,110,60,62,59,49,79,57,34,57,55,49,122,149,144,146,145,144,144,108,109,112,116,121,120,153,106,102,117,85,55,48,70,37,67,72,86,108,63,42,137,148,144,146,145,145,145,110,111,112,117,121,123,147,92,51,86,91,59,47,64,65,83,122,150,134,86,54,109,152,148,145,147,147,146,110,112,113,117,122,122,147,109,85,71,98,71,70,104,112,121,141,147,113,81,74,63,95,142,151,147,148,147,111,112,114,118,123,121,146,123,103,74,68,55,72,127,105,117,124,113,88,77,80,77,66,71,122,153,147,148,111,114,116,119,124,122,144,135,95,67,56,47,41,82,83,85,82,77,67,74,79,79,79,68,61,141,151,148,112,114,117,120,125,122,142,143,104,86,72,61,46,38,58,72,77,69,58,64,77,86,79,75,64,127,154,147,113,114,116,121,125,123,139,154,127,92,76,65,56,50,69,106,110,107,101,84,81,97,80,72,76,140,153,148,112,115,117,121,125,125,138,153,127,101,95,76,65,58,88,132,143,144,138,117,98,92,80,71,102,153,150,150,112,115,117,122,125,126,136,155,129,120,109,82,70,64,95,147,152,147,134,112,95,79,74,76,136,154,151,152,114,114,118,122,125,127,134,151,132,128,109,77,72,71,94,149,143,135,125,108,88,78,71,93,155,152,153,152,115,115,118,122,125,129,132,147,133,122,102,74,77,76,96,138,129,123,118,101,82,78,74,121,159,152,153,153,115,115,118,122,127,131,131,145,135,119,97,76,84,83,107,130,121,119,108,90,78,78,84,144,155,153,154,154,114,115,119,124,127,130,133,141,140,118,94,89,102,90,109,121,116,110,91,79,77,76,112,157,153,154,155,154,115,115,119,124,128,130,134,137,138,117,102,106,105,93,91,104,100,92,79,75,75,86,145,156,155,155,155,154,115,116,120,124,128,131,135,136,141,125,109,106,97,85,75,81,80,76,74,80,75,114,160,156,157,156,156,155,114,115,120,124,128,131,135,136,141,138,108,92,85,77,74,75,75,75,77,81,66,122,162,155,157,156,155,156,115,117,121,125,128,132,135,138,139,142,110,80,71,70,72,79,77,76,77,78,58,105,164,155,156,157,157,157,116,117,121,125,128,131,135,139,138,138,121,87,79,82,82,83,80,75,76,74,62,91,162,155,156,158,158,158
8,196,198,196,198,198,198,199,199,198,199,199,198,200,200,199,199,200,199,199,198,197,197,196,196,195,195,195,194,197,198,198,200,200,200,200,201,200,200,200,200,187,193,203,201,201,201,200,200,199,198,198,197,196,195,195,195,200,200,200,201,201,201,201,202,201,201,198,211,173,159,208,201,202,202,202,201,201,200,200,199,199,197,197,196,200,201,202,202,202,203,202,202,202,202,202,213,157,158,210,202,203,204,203,203,202,202,202,200,200,199,198,198,202,202,202,202,204,204,203,203,204,201,210,209,135,172,211,203,204,206,205,203,203,203,202,201,201,200,199,198,202,203,203,203,205,205,204,205,206,202,216,207,128,182,211,205,206,206,206,205,205,204,202,203,202,201,201,200,203,204,204,205,206,206,205,206,207,203,221,195,131,197,210,206,206,207,206,206,206,206,204,205,202,202,202,202,205,205,205,206,206,205,206,207,207,206,222,173,137,207,206,208,210,206,211,209,204,206,206,207,206,203,203,203,205,205,206,207,207,207,207,206,206,210,219,170,138,216,204,172,192,209,185,197,212,207,210,201,201,205,204,205,206,206,207,207,207,207,208,208,205,216,217,177,145,232,213,171,154,207,162,149,171,174,191,183,145,202,206,204,206,207,207,207,207,207,207,209,205,220,216,175,175,242,219,194,143,188,180,143,131,157,177,180,111,196,209,204,206,207,208,208,208,208,209,208,207,221,212,175,198,241,230,204,139,166,183,144,182,165,188,191,116,195,209,204,206,206,208,208,208,208,208,207,213,213,200,196,199,221,234,203,143,151,172,155,197,162,192,202,143,181,215,205,205,206,207,207,208,208,209,209,218,192,196,204,195,190,234,207,150,131,158,174,187,153,186,203,175,149,211,208,205,206,207,207,208,208,208,209,220,182,178,198,182,184,222,213,153,113,143,181,179,133,170,206,170,123,199,211,206,206,207,207,208,208,207,211,226,181,153,174,168,160,208,213,147,106,135,182,170,123,183,194,141,139,213,206,206,207,208,208,208,209,207,215,234,190,143,154,147,143,176,209,169,105,127,191,161,134,191,162,118,183,214,206,207,208,208,208,208,209,208,223,234,206,142,146,146,144,164,199,184,105,124,178,142,171,167,125,136,213,207,207,207,207,207,208,208,210,210,225,231,216,154,132,146,141,157,190,150,126,181,188,175,194,153,108,181,215,208,209,207,207,207,208,208,208,209,227,230,223,157,136,155,143,175,209,194,204,202,189,170,172,149,109,203,212,209,210,206,208,210,213,214,214,212,227,230,220,157,145,155,155,205,220,220,214,197,188,160,143,125,137,216,210,211,212,145,149,153,154,157,154,174,231,227,214,161,167,151,180,226,225,222,216,201,180,151,126,109,183,217,209,206,202,118,118,119,118,119,112,136,235,228,214,179,174,156,182,230,229,225,208,193,166,139,117,115,134,134,139,161,191,126,127,127,127,127,126,131,224,229,219,189,175,170,174,231,232,214,194,181,150,127,113,115,127,155,189,211,212,127,127,126,126,125,127,121,213,228,212,187,175,172,176,234,222,203,180,162,135,114,129,175,204,221,218,219,213,127,126,125,126,128,128,125,214,218,200,184,175,167,190,226,205,190,160,142,124,103,203,234,202,195,197,201,211,125,125,125,125,126,124,137,222,209,194,182,177,173,196,202,194,174,145,139,112,135,206,218,220,201,186,191,193,125,125,125,125,128,119,149,227,202,192,185,180,180,193,192,186,163,138,133,118,190,196,185,204,213,189,163,159
6,155,158,161,164,167,170,173,175,177,179,180,181,182,184,185,186,187,186,187,187,187,188,188,187,187,186,185,185,155,158,162,165,168,170,173,176,178,179,181,182,183,185,186,186,187,187,188,188,188,188,188,188,187,187,187,186,156,158,162,165,169,171,174,176,178,180,182,183,184,185,186,187,187,188,188,189,189,189,189,189,188,188,187,187,157,159,163,166,170,173,176,177,179,180,182,184,185,186,187,188,188,189,190,190,190,190,190,189,189,188,188,188,157,161,164,168,171,173,176,178,179,181,182,185,186,188,188,188,190,191,192,191,191,191,191,191,191,190,189,189,158,161,165,168,171,174,176,179,180,181,183,185,187,188,187,188,190,191,192,191,190,189,190,191,192,191,190,190,159,162,165,169,172,176,179,179,181,182,184,185,187,188,186,186,188,192,191,187,183,176,174,181,186,187,191,191,159,162,166,171,178,187,188,181,179,184,190,193,196,196,189,189,192,199,197,189,182,169,162,171,173,171,188,191,158,162,169,184,197,202,196,180,166,168,182,189,192,190,183,181,184,184,182,178,171,161,156,161,160,164,188,192,163,174,190,201,205,204,198,181,151,133,141,147,151,154,155,156,156,156,159,158,156,155,158,163,169,181,191,192,188,200,204,202,203,205,201,179,144,115,106,103,106,120,137,150,163,174,179,181,182,184,186,188,189,192,193,192,206,205,203,203,205,202,187,158,133,113,104,102,101,113,149,176,188,192,193,194,194,194,194,194,193,193,193,193,208,205,204,204,203,196,182,157,129,111,104,107,111,111,123,144,177,193,195,195,195,195,195,195,194,194,193,193,207,207,205,203,204,204,199,172,131,111,102,103,111,114,113,108,132,177,194,196,196,196,195,195,195,195,194,193,204,204,203,202,205,209,199,165,131,116,112,110,108,107,110,106,103,141,189,196,197,196,195,195,195,195,194,193,200,200,198,199,205,206,184,152,129,119,118,119,116,103,98,99,99,125,183,196,196,195,194,194,194,194,193,193,195,194,193,194,199,198,178,147,122,111,114,123,128,116,103,96,98,129,174,182,182,181,180,180,180,179,179,179,195,195,194,193,197,196,181,148,119,102,101,111,128,127,115,104,101,116,131,132,131,131,130,129,128,128,126,126,197,197,197,197,201,198,179,144,120,114,112,110,110,113,114,110,107,104,102,103,103,103,102,100,99,99,98,97,194,192,190,192,197,190,170,141,125,123,122,116,109,105,104,106,107,104,103,103,103,103,102,101,100,100,99,98,184,180,176,180,183,174,158,140,128,126,124,118,110,105,105,108,109,108,106,104,103,103,103,103,102,101,100,99,171,167,163,167,166,154,140,129,120,116,118,117,114,112,109,109,109,108,106,105,104,103,103,103,102,102,101,101,154,151,145,142,137,128,119,113,108,104,105,108,111,111,109,107,107,107,105,104,103,103,103,103,102,101,101,101,131,126,120,115,114,113,112,110,109,108,108,108,109,109,108,108,107,107,106,105,104,103,103,103,102,101,100,100,108,110,110,109,110,111,111,111,110,110,110,110,110,109,108,107,106,106,106,105,104,103,103,103,102,100,102,120,107,109,110,110,111,110,110,110,110,110,109,109,109,108,108,106,105,105,105,105,103,103,103,103,103,100,123,167,110,111,111,111,111,110,110,110,110,110,109,109,109,108,108,106,106,105,105,105,104,104,104,105,104,114,163,188,110,111,111,111,110,110,109,109,109,109,108,109,109,108,108,107,106,105,105,105,104,104,104,106,107,144,187,181
13,175,175,176,175,174,175,176,178,177,176,176,178,178,180,180,178,179,179,180,179,180,179,178,177,177,176,176,175,176,178,179,177,177,178,179,178,179,179,179,178,178,180,182,181,182,182,180,180,182,180,178,179,180,180,177,175,177,179,178,179,180,179,180,180,180,180,181,180,180,181,181,180,179,178,184,185,183,181,180,181,181,180,179,178,177,178,179,180,179,182,181,182,180,179,181,183,183,181,183,192,190,159,132,165,176,182,186,182,182,180,180,181,177,179,180,180,180,182,182,181,181,180,181,184,180,191,216,217,213,176,121,79,101,106,167,187,182,181,181,181,178,178,180,181,181,181,181,182,184,184,182,182,182,189,183,198,211,187,129,76,60,73,97,198,180,182,182,182,180,180,180,181,182,182,182,183,185,181,187,172,147,173,146,137,182,189,156,91,70,129,92,187,184,183,184,183,180,180,181,182,183,183,184,185,184,187,214,172,123,160,175,167,180,174,177,100,64,101,84,184,186,185,185,184,180,180,181,182,183,183,184,184,178,193,223,183,152,115,137,177,184,159,110,67,27,99,172,186,187,186,186,186,180,182,181,182,183,186,180,191,189,122,138,196,176,134,52,95,169,168,130,109,76,74,191,189,187,186,186,185,179,181,183,182,182,178,187,214,182,103,64,160,202,153,75,0,87,126,141,169,150,75,119,201,184,188,186,185,179,180,182,183,180,192,216,195,158,115,69,112,211,153,109,29,19,31,153,192,175,133,70,171,192,186,186,186,180,180,180,180,187,207,185,160,161,133,92,64,205,163,138,69,27,26,106,207,190,158,92,92,196,185,185,185,182,181,182,180,202,190,145,138,172,144,110,32,146,199,157,112,24,37,93,195,197,159,121,68,155,195,185,185,182,182,182,183,205,197,167,130,173,149,122,79,31,184,184,143,76,64,192,185,181,154,130,78,128,201,186,188,182,181,180,184,200,187,169,132,130,159,156,126,20,57,192,174,161,104,188,183,154,121,108,66,139,199,186,187,180,180,181,180,202,207,186,158,121,124,165,138,118,17,121,186,157,163,182,165,142,108,75,59,170,193,187,186,186,187,188,185,200,212,198,171,156,135,137,134,158,87,156,203,187,196,174,153,131,102,67,77,190,188,189,188,133,137,143,140,182,216,205,184,164,155,157,138,106,118,197,212,211,186,170,150,123,92,54,119,203,194,195,194,66,65,69,53,134,222,204,194,177,163,166,166,132,119,183,209,207,186,154,139,115,81,58,101,135,135,139,139,73,72,74,64,94,209,197,198,194,178,168,164,152,110,145,205,196,178,149,118,99,71,66,66,57,54,56,65,72,73,72,75,65,173,197,194,197,193,180,166,151,129,112,184,183,163,141,106,85,69,61,65,74,98,128,159,72,73,75,78,64,108,201,189,199,199,182,167,147,134,115,145,168,146,118,100,80,57,73,147,171,188,195,195,72,74,74,75,79,63,155,200,193,190,171,155,141,127,115,117,142,134,112,93,77,44,144,214,188,179,171,180,73,74,74,72,78,66,92,201,187,170,154,145,136,124,102,100,127,136,120,82,61,60,193,195,177,165,142,136,73,74,73,73,71,76,66,172,193,155,138,140,133,119,95,85,133,150,109,71,45,122,210,187,171,126,115,120,73,73,74,72,71,79,62,145,200,165,159,152,134,113,98,82,142,141,84,61,57,193,204,204,180,117,84,116,73,74,75,71,72,78,61,134,207,175,174,162,140,119,106,80,144,122,75,46,97,207,190,215,200,134,74,95
1,138,122,112,107,109,104,69,107,125,135,145,150,157,162,163,165,169,172,174,175,178,179,181,182,184,185,185,185,139,120,115,106,114,97,73,112,127,135,157,161,134,160,166,169,170,173,175,177,179,181,182,184,186,186,186,186,140,119,120,106,120,91,77,115,128,139,163,177,120,141,160,152,174,175,177,179,180,182,185,187,187,188,189,188,140,120,123,106,125,85,84,114,146,169,135,178,136,137,167,120,163,179,178,180,182,184,187,188,188,189,189,189,140,121,124,107,128,78,90,115,154,176,129,175,148,137,178,125,139,183,179,182,184,187,188,189,190,190,191,191,137,122,124,108,129,73,96,118,152,183,134,168,163,136,180,145,125,181,181,184,187,188,190,190,192,192,192,192,135,125,124,112,128,70,101,118,150,187,133,170,184,143,166,159,120,170,185,186,187,188,191,192,193,193,193,193,134,128,123,116,123,68,107,137,144,192,147,166,189,145,166,180,128,153,189,185,188,190,192,193,193,194,194,194,132,131,120,121,118,64,133,174,136,194,160,153,183,147,164,188,140,137,189,186,188,191,193,194,195,195,195,196,131,133,118,127,112,66,141,170,131,188,163,144,182,153,151,184,150,131,187,188,190,191,194,195,196,195,197,197,130,135,115,132,104,70,139,172,127,180,169,136,186,165,143,186,158,128,184,190,190,193,195,195,196,197,198,198,131,137,113,136,95,74,138,182,128,178,180,129,176,175,138,190,165,126,177,192,191,193,195,196,196,198,199,199,132,138,113,141,88,79,135,193,139,162,188,132,146,176,123,171,171,123,169,195,192,194,196,196,197,198,199,199,136,140,114,143,81,85,128,185,140,143,189,134,137,172,135,171,174,124,152,197,191,194,196,196,197,199,199,198,138,138,115,143,75,92,121,179,156,132,175,159,159,161,171,177,150,123,135,196,192,194,196,197,198,198,198,198,141,136,119,140,70,98,117,181,166,129,169,175,156,146,163,173,138,112,122,188,194,194,197,197,198,198,199,199,142,134,123,137,67,101,117,177,160,165,169,170,173,161,188,194,149,111,103,175,197,194,197,198,199,200,200,200,146,133,127,133,66,105,117,177,178,180,156,160,167,166,187,184,154,127,99,156,200,194,197,198,199,200,200,200,150,131,135,130,66,107,119,187,186,164,148,143,152,159,163,169,171,148,111,130,199,195,198,199,199,200,200,201,154,129,141,124,66,108,116,180,181,153,138,148,153,165,185,182,183,170,136,116,189,196,197,197,198,198,199,200,156,126,147,115,68,108,111,165,180,150,137,151,155,171,196,195,188,182,153,121,183,195,194,195,196,197,197,196,156,124,153,106,67,107,111,142,182,158,142,143,160,171,194,202,184,173,146,125,185,192,193,194,196,196,201,219,155,122,156,98,77,109,113,124,173,164,149,141,158,170,192,199,181,164,137,117,184,193,193,195,197,194,202,228,154,125,152,133,119,131,135,134,160,175,159,145,150,166,187,193,177,160,133,116,173,179,180,181,181,183,175,177,152,125,153,139,98,103,105,103,116,171,164,156,148,159,183,185,167,154,129,113,122,123,126,122,142,179,177,172,150,127,156,135,101,106,107,110,106,133,168,161,156,153,169,176,159,146,124,113,122,123,121,124,176,181,175,168,147,128,157,133,101,106,107,107,110,106,148,166,161,151,148,160,149,134,119,116,120,122,116,155,188,178,173,166,142,125,158,129,99,104,105,106,109,105,122,167,155,143,139,142,138,129,113,116,120,118,122,180,184,176,168,164
20,160,162,165,168,170,171,173,174,174,176,177,178,178,177,178,180,177,178,177,179,177,178,176,174,173,173,173,171,162,165,168,169,171,174,174,176,177,177,178,180,178,191,181,167,180,180,179,179,179,178,178,177,176,175,174,174,164,167,169,171,173,175,177,178,179,179,180,182,176,208,184,134,180,164,181,180,180,180,180,179,178,177,174,175,166,169,171,172,175,178,179,180,181,182,183,185,179,211,184,140,197,134,175,185,181,182,182,180,180,179,177,176,167,172,173,174,177,179,180,181,182,184,185,187,181,211,185,149,211,138,162,191,185,185,184,184,182,180,179,178,169,173,174,176,179,181,182,183,185,186,186,188,182,218,200,151,214,155,155,193,186,187,186,185,184,183,181,180,170,173,176,178,181,183,184,185,187,187,189,190,185,221,192,157,222,168,154,195,189,190,189,187,186,185,184,182,172,174,177,179,182,185,186,187,187,188,188,189,191,222,181,168,221,165,149,196,191,192,190,189,188,187,186,185,173,176,179,181,184,186,187,188,190,189,203,200,189,225,185,169,225,158,148,199,192,192,191,191,189,188,187,186,175,178,180,183,185,187,189,190,188,193,236,233,185,155,168,169,221,158,155,201,192,194,193,192,191,190,189,188,177,180,182,185,186,188,191,189,206,216,200,205,188,133,113,147,197,151,160,203,195,195,194,194,192,192,191,190,178,181,184,186,189,190,190,199,233,234,188,163,192,172,161,134,154,141,160,204,197,197,196,195,194,193,192,191,179,182,184,188,190,192,191,208,210,170,212,183,165,207,202,151,121,122,161,205,197,198,196,196,196,195,193,193,180,184,186,189,191,193,191,210,209,130,130,132,109,181,204,163,123,112,159,206,198,200,198,198,198,197,196,195,182,184,187,190,192,195,192,213,196,166,149,117,114,126,214,195,145,106,159,208,200,202,200,199,200,199,197,196,183,186,189,191,193,196,193,217,223,191,152,130,137,124,204,222,170,108,149,211,202,203,202,201,200,200,198,197,183,187,190,193,195,198,194,221,222,171,140,134,148,152,207,234,190,127,141,211,202,205,203,202,202,201,200,198,185,189,191,194,196,199,195,222,221,177,153,150,158,174,230,232,197,141,140,212,203,205,204,203,204,203,201,200,186,190,193,195,198,200,198,223,230,190,165,162,171,207,237,225,188,146,136,211,205,205,206,205,204,203,202,202,187,191,194,196,198,202,199,222,233,203,171,172,186,227,237,222,181,146,138,211,206,207,206,206,207,205,202,202,188,190,193,196,199,202,199,218,236,211,182,175,197,235,230,213,180,142,132,212,209,208,207,208,207,207,204,203,189,190,193,196,198,202,198,215,237,212,193,187,199,237,224,199,176,137,127,210,209,208,206,206,206,206,204,203,189,191,195,198,200,202,201,209,233,219,204,205,197,229,215,192,172,132,124,210,210,210,208,206,206,205,203,205,188,192,196,198,201,202,205,205,227,225,211,213,192,207,200,178,164,125,127,215,210,211,210,209,206,206,211,197,190,193,196,198,201,204,205,203,221,233,216,202,181,182,183,165,167,115,143,222,211,213,211,208,214,211,188,133,191,194,196,198,201,203,211,215,223,234,210,185,157,160,175,163,159,103,172,222,212,214,212,217,193,142,111,99,192,196,199,202,204,209,183,116,173,234,187,166,145,157,182,155,137,107,215,217,215,216,219,183,121,109,103,96,164,167,172,175,178,186,127,33,122,228,195,169,145,167,186,135,120,75,143,211,206,211,179,115,106,102,94,93
4,173,174,174,175,176,174,174,174,175,173,172,173,173,172,170,170,170,170,168,167,167,166,166,165,163,162,161,160,175,175,176,177,177,177,176,176,176,175,175,176,173,174,177,171,160,158,165,169,169,168,167,166,165,164,162,162,177,178,179,179,180,180,179,177,177,178,185,185,167,150,173,195,171,131,122,169,171,169,168,167,167,165,164,164,180,180,181,181,181,181,180,183,180,155,174,190,167,118,102,165,164,118,81,120,146,153,167,170,168,166,166,165,181,181,182,183,182,180,195,202,172,128,103,165,150,103,73,125,138,98,73,68,103,104,119,168,169,167,167,167,182,183,182,184,183,186,215,210,164,126,83,146,142,104,64,102,126,98,70,69,96,83,75,160,172,170,168,168,184,184,183,185,185,193,214,206,176,173,101,121,166,142,66,86,146,126,78,82,106,83,71,157,173,172,170,169,184,185,185,186,186,193,216,193,193,195,118,99,182,148,67,74,154,133,75,91,143,112,86,161,175,173,171,170,185,186,187,188,188,191,218,202,187,159,103,83,136,117,73,72,114,114,56,89,167,127,105,170,176,174,172,172,187,188,188,189,188,196,229,220,195,163,127,105,87,82,83,101,144,145,88,82,130,107,129,177,177,174,174,173,189,189,190,191,188,209,233,211,181,161,143,134,119,128,137,153,179,146,108,85,82,71,152,180,179,176,175,174,190,191,191,193,190,219,224,192,159,138,145,191,170,173,185,166,169,139,125,96,80,78,163,181,179,178,177,176,191,193,193,194,193,228,224,193,164,140,139,186,172,174,182,169,157,154,146,109,73,72,160,182,179,179,178,176,192,195,195,194,200,236,225,197,168,141,123,137,142,141,154,139,137,175,168,125,82,68,155,184,181,180,179,178,195,196,196,194,207,237,222,198,165,131,116,107,94,100,133,112,125,183,181,135,95,70,147,186,183,181,180,179,197,198,198,196,215,236,222,197,156,129,127,117,103,130,185,180,155,186,189,137,104,72,138,187,183,181,180,179,198,199,199,197,218,235,221,193,154,135,136,122,117,189,216,203,186,172,179,141,112,80,125,188,185,183,182,181,199,199,200,199,223,234,212,175,155,149,137,118,166,220,223,206,183,170,150,131,109,85,135,189,186,184,182,181,201,201,201,201,227,230,202,174,174,150,128,135,212,228,221,200,173,155,136,112,97,82,163,188,186,185,183,182,202,202,202,204,231,227,200,186,180,145,123,174,227,224,208,189,165,142,125,102,83,95,182,188,188,186,184,183,203,204,204,164,209,224,201,189,183,141,151,199,227,211,194,178,158,133,112,91,70,138,191,190,189,187,185,185,205,207,178,90,116,196,202,192,176,133,160,200,215,197,183,169,145,120,99,78,92,181,192,190,191,189,187,186,208,192,109,77,73,101,162,179,155,125,144,191,198,181,167,153,131,106,85,72,152,195,194,193,193,190,189,187,204,132,78,75,74,69,84,116,118,107,129,164,176,163,149,134,114,90,68,114,192,196,195,194,193,192,190,188,148,89,81,71,67,70,67,66,70,89,115,136,151,139,127,109,92,69,86,181,199,197,196,195,194,193,190,188,87,80,78,68,65,65,64,67,54,57,82,102,117,104,91,81,69,75,162,201,200,199,199,197,195,193,192,191,82,78,69,66,62,63,61,64,59,29,39,52,65,64,53,48,64,155,202,201,200,200,200,198,196,194,193,192,77,71,66,65,60,59,57,59,64,37,21,31,34,34,32,26,103,203,204,202,202,201,200,199,197,195,194,192
2,170,171,171,172,171,172,172,171,171,171,170,166,171,168,169,169,167,167,166,164,164,163,162,160,160,159,157,156,173,173,173,173,173,173,173,172,173,173,169,181,184,130,148,174,170,170,169,167,167,166,165,163,162,161,159,158,175,175,176,177,177,176,175,175,173,172,195,190,141,103,106,157,163,128,165,173,168,168,167,166,165,163,161,161,177,177,177,178,179,178,178,175,179,203,198,132,105,97,106,130,135,98,144,172,169,169,168,168,167,166,163,162,178,179,178,178,179,178,177,187,219,205,153,107,103,97,89,98,101,97,92,143,179,170,171,169,168,167,166,164,179,180,179,180,180,181,175,211,211,151,113,96,97,100,95,77,93,105,94,95,142,179,171,171,169,168,166,166,180,181,181,182,183,178,190,221,175,111,91,79,82,90,91,91,93,94,92,83,139,179,171,172,171,170,168,168,182,183,182,184,184,182,216,204,145,109,96,87,76,93,110,115,96,108,119,147,177,174,174,173,172,172,171,168,184,185,185,185,181,204,215,162,117,96,100,98,90,105,102,105,151,174,180,182,178,177,175,174,174,173,172,170,185,186,187,183,196,221,202,145,108,88,97,94,102,95,122,173,186,183,181,180,180,179,178,176,175,175,173,172,186,187,186,187,218,219,186,140,115,106,93,96,105,131,195,186,184,185,184,183,182,180,179,178,177,175,174,173,188,189,186,198,221,209,166,130,113,113,102,99,101,155,195,185,186,185,186,184,183,182,180,180,179,177,176,175,190,192,187,213,221,200,153,120,111,111,108,98,114,188,190,188,185,186,185,185,185,184,182,181,180,180,178,177,192,189,198,221,218,186,144,120,109,108,109,101,157,198,189,190,188,187,187,187,185,184,184,183,181,180,180,179,193,190,214,221,210,169,131,116,112,106,106,108,186,194,191,191,190,189,188,187,186,186,184,184,184,182,180,180,192,201,221,220,197,156,124,114,111,112,101,128,201,191,193,192,192,191,190,189,188,187,188,187,184,183,181,180,192,214,221,216,183,141,116,112,109,110,88,151,205,193,195,194,193,191,191,191,191,187,184,179,185,186,183,182,202,221,221,206,163,127,116,108,103,99,88,117,199,199,193,194,193,193,193,192,181,166,161,152,131,181,186,184,216,221,218,187,152,130,119,104,94,94,100,93,126,193,202,198,198,197,195,171,166,161,146,118,130,184,187,185,218,220,209,176,154,135,118,97,89,100,99,108,109,119,159,184,175,167,168,161,171,145,124,161,191,189,187,185,220,221,212,177,151,131,112,95,97,111,115,127,135,124,118,142,149,161,167,170,160,122,175,199,190,189,189,188,168,176,184,167,147,125,108,100,106,120,132,136,143,143,135,156,159,163,159,143,118,149,200,191,192,191,190,189,75,75,68,69,82,80,81,92,112,126,134,140,145,147,136,150,139,134,140,152,171,195,195,195,194,192,190,189,82,73,55,52,59,55,47,51,79,123,132,137,142,137,116,122,149,179,194,203,202,196,196,195,194,193,192,191,77,68,55,57,62,54,49,44,40,69,128,133,124,121,151,186,205,205,201,199,200,200,198,196,196,195,194,192,72,65,57,58,57,51,46,41,44,38,79,123,146,191,209,207,202,201,202,201,199,199,198,197,196,196,194,194,68,64,57,58,55,48,43,41,45,36,71,195,209,206,202,203,204,205,203,202,202,200,200,198,197,197,195,194,68,62,56,57,54,47,42,41,47,34,156,220,201,204,205,205,205,204,203,203,203,201,202,202,199,198,197,196
7,153,158,163,168,172,174,177,179,181,183,185,185,185,185,185,185,185,185,184,183,182,182,181,180,179,177,177,176,155,160,165,170,173,175,179,181,182,183,186,187,189,188,187,187,188,186,185,185,184,183,183,183,181,178,179,178,156,161,167,172,174,177,180,183,185,185,187,188,190,189,189,189,188,188,187,187,186,185,184,183,182,180,181,180,158,164,168,173,177,179,182,185,187,187,189,191,191,191,191,191,191,190,190,187,189,188,185,184,184,182,182,181,160,166,169,174,178,180,184,187,187,190,191,192,193,193,192,192,194,194,193,190,186,186,186,188,185,184,184,183,161,166,171,176,179,183,184,187,187,192,192,194,197,198,197,193,190,184,181,160,178,209,163,185,190,187,185,183,163,168,173,177,181,184,186,190,191,192,194,194,188,179,173,176,172,160,161,147,168,188,134,180,187,186,189,186,165,169,175,180,182,185,188,190,189,189,183,171,156,135,148,164,168,145,133,124,117,136,141,197,209,139,187,188,167,171,177,182,184,187,183,163,158,159,159,158,149,139,123,128,114,115,139,142,140,147,161,186,180,118,187,191,167,172,178,182,188,193,176,158,159,152,141,143,147,133,119,114,132,164,183,165,152,145,127,109,125,167,194,189,168,173,177,184,197,185,168,165,158,129,130,152,165,147,141,132,131,148,152,132,110,98,114,148,182,198,193,192,169,173,183,190,180,176,176,172,138,98,119,134,137,124,123,120,100,106,96,102,129,166,199,203,199,194,194,193,169,180,190,184,181,178,168,171,148,107,103,89,78,69,71,80,91,119,161,191,206,206,199,198,197,196,195,194,185,191,187,188,185,168,164,161,163,142,95,70,46,98,155,162,186,207,211,205,201,200,202,202,200,198,198,197,194,189,184,180,171,165,165,166,164,139,102,78,71,95,182,221,208,207,205,205,204,203,201,201,201,200,199,199,193,186,174,167,162,158,151,147,140,120,96,72,77,72,56,154,216,206,208,206,206,205,203,202,202,201,201,200,187,174,166,158,151,146,141,135,131,121,94,64,68,90,71,83,214,209,209,207,207,207,206,205,203,202,201,201,179,174,158,154,145,142,141,139,139,137,100,64,58,79,75,92,217,209,209,209,209,208,207,207,205,203,201,200,95,154,157,152,146,142,138,137,139,129,94,70,69,52,56,63,170,220,208,210,209,208,207,208,207,204,202,201,34,55,128,159,151,146,137,128,117,101,85,81,78,65,55,48,147,226,209,211,211,209,209,208,207,206,204,203,44,30,37,121,158,143,133,122,111,95,86,79,83,67,85,126,203,217,213,214,213,212,210,209,208,208,206,204,37,35,29,34,118,128,111,99,95,75,57,71,74,75,201,225,216,215,216,214,213,212,210,210,209,207,207,205,32,30,29,23,40,81,80,85,73,42,42,56,86,184,225,212,215,216,216,215,214,212,212,211,209,208,207,206,27,25,22,27,21,6,31,183,150,65,96,137,204,224,216,217,217,217,217,215,214,214,213,211,210,210,208,207,14,19,21,27,23,16,164,220,214,208,215,225,220,217,219,218,217,218,218,217,216,216,215,213,212,211,209,208,52,19,17,31,19,153,221,206,213,217,217,215,218,220,220,220,218,220,219,217,217,215,215,214,213,211,209,209,41,47,28,16,65,217,203,210,212,214,216,217,219,220,220,220,218,219,218,217,217,215,215,214,213,211,209,209,9,31,29,7,94,219,203,209,211,213,215,216,217,216,216,219,219,217,217,217,216,215,214,214,211,209,209,209
1,143,145,148,150,151,153,153,154,153,154,155,156,156,156,156,156,156,157,158,157,156,157,158,156,155,155,155,155,147,149,151,154,155,155,155,157,157,157,159,159,158,159,160,160,162,159,147,159,160,160,160,159,159,157,159,158,151,152,156,158,158,159,159,160,161,163,163,163,163,166,140,154,174,168,100,156,165,164,162,162,162,161,160,159,154,156,160,161,162,162,164,164,164,164,165,164,172,182,111,140,181,157,91,159,160,166,166,165,164,163,162,161,158,160,164,165,166,167,168,167,168,168,169,167,183,176,103,149,182,140,99,166,135,129,172,168,167,166,165,165,162,164,168,169,171,171,171,170,172,173,166,137,178,162,103,162,183,125,109,175,139,99,175,171,170,169,168,167,164,167,171,172,173,174,175,175,175,185,165,112,154,152,108,173,190,129,127,185,140,97,175,174,173,173,172,171,168,171,173,174,174,179,179,179,178,192,156,108,149,150,117,175,180,125,140,189,131,102,179,177,176,175,174,174,171,173,175,177,179,182,180,180,180,192,143,112,142,133,111,163,164,115,152,192,131,109,184,181,179,178,177,176,173,176,178,180,182,183,184,182,183,198,145,121,136,134,94,171,161,111,171,188,129,118,190,184,182,181,181,180,176,179,180,183,184,186,186,186,187,199,136,113,138,148,97,183,167,117,183,175,122,131,191,186,187,186,184,183,179,181,182,185,186,188,187,187,191,205,153,106,126,136,90,172,147,122,194,182,119,148,193,188,188,187,187,186,181,184,186,187,189,190,190,188,193,204,148,97,122,122,93,154,128,134,194,176,113,164,196,192,191,189,188,188,182,185,188,190,192,192,193,191,197,205,160,129,147,174,167,177,173,132,153,168,108,178,196,195,193,192,191,189,184,186,189,191,194,194,195,193,206,205,166,135,112,148,182,183,186,157,108,134,106,191,198,196,194,194,193,193,187,188,192,193,194,196,196,195,213,193,152,121,98,94,124,140,195,193,131,81,105,201,199,198,198,196,195,193,187,190,193,194,196,197,198,198,219,194,152,113,103,107,117,142,202,213,172,87,120,206,200,199,199,198,197,196,190,193,195,197,199,200,200,202,221,192,145,117,117,121,150,184,177,205,181,112,131,209,202,202,200,200,200,199,192,195,197,198,199,201,201,206,219,188,148,117,128,127,179,206,189,171,151,117,104,204,203,203,202,200,201,201,194,196,198,198,199,200,202,210,217,190,153,131,134,145,204,209,185,160,123,98,107,208,205,204,204,203,203,202,196,197,199,200,201,203,204,210,216,190,155,141,129,164,216,213,175,146,111,81,125,212,208,206,206,205,205,204,198,199,200,202,203,203,205,208,212,188,159,149,132,161,216,207,163,135,101,79,161,214,209,208,207,207,206,205,198,199,201,204,205,206,206,206,207,189,168,159,137,155,213,186,151,119,91,101,206,212,209,208,208,207,207,207,197,200,202,204,204,205,207,208,205,192,170,161,134,162,203,173,145,107,80,146,216,212,211,209,209,209,211,209,199,201,204,206,206,206,209,208,212,194,173,158,125,164,184,157,133,96,83,190,217,213,212,210,210,211,211,209,199,201,205,207,208,209,208,206,215,199,181,152,129,161,157,138,120,85,113,215,215,214,214,213,213,212,212,211,199,201,203,206,207,209,203,210,215,212,190,155,139,159,145,133,109,84,172,219,216,215,215,216,215,214,213,212,198,202,203,204,205,205,201,211,207,201,186,154,148,147,137,119,89,123,216,216,216,215,216,216,215,214,214,213
7,201,202,203,205,207,207,207,208,208,208,208,209,209,209,209,209,209,209,209,208,207,206,204,203,201,200,199,197,202,204,205,206,208,209,209,210,210,210,210,210,210,210,211,211,211,210,210,210,209,207,206,204,202,201,201,199,204,206,207,209,210,211,211,211,212,212,212,213,213,213,213,213,212,213,213,212,211,210,208,206,205,203,202,201,206,208,209,211,212,213,213,213,213,214,215,215,215,215,215,214,214,214,215,214,213,211,210,208,207,206,204,203,208,210,211,212,213,215,215,215,215,216,216,216,217,216,217,216,216,216,216,215,214,213,212,211,210,208,207,205,210,212,213,214,215,216,216,217,217,217,217,218,218,218,218,218,218,217,217,217,216,215,214,213,211,209,208,207,212,213,214,216,217,218,218,219,219,219,219,220,220,220,220,220,219,219,219,218,218,216,215,215,214,212,210,209,213,215,216,217,219,220,221,221,221,220,220,221,222,222,222,222,222,222,221,220,219,218,217,216,216,214,212,211,214,216,217,219,220,223,225,226,217,204,207,214,217,217,219,220,220,220,219,218,217,218,221,217,216,215,214,213,216,218,220,224,227,228,230,230,220,195,181,193,204,207,208,208,207,208,208,209,208,214,219,211,217,216,215,214,222,225,228,230,230,227,225,223,217,192,168,173,186,195,197,196,193,193,193,196,192,191,191,201,216,216,216,216,231,232,231,228,223,217,212,212,213,195,166,158,165,176,185,190,189,186,187,189,185,184,187,195,209,211,216,217,231,228,222,217,213,209,208,212,216,200,169,156,156,158,161,163,165,172,178,180,179,181,186,186,193,199,215,218,227,220,211,205,203,203,205,211,209,190,166,156,161,164,160,150,155,185,194,193,189,188,190,192,196,208,219,221,225,216,206,201,200,200,199,205,208,189,160,146,154,165,166,158,158,202,225,225,223,222,221,221,221,223,223,222,225,218,210,205,204,203,201,205,211,196,167,154,157,158,157,152,163,211,231,231,231,230,229,227,226,226,225,223,220,218,215,210,207,204,204,206,209,196,173,166,169,164,159,153,188,228,233,233,232,231,231,229,229,227,219,204,208,212,215,213,207,202,199,198,192,180,164,157,161,162,157,171,219,234,234,234,233,233,232,231,231,222,185,155,169,186,203,206,199,192,187,181,173,161,140,121,128,145,154,194,233,236,235,235,234,233,233,232,230,204,150,134,96,116,148,170,176,177,178,183,193,193,154,118,126,148,176,220,236,236,235,235,234,233,233,231,214,171,130,119,61,64,76,100,156,202,216,225,231,233,207,169,175,196,219,235,238,237,236,235,234,230,221,208,170,130,110,96,53,52,52,83,187,231,235,237,237,238,234,226,228,234,237,239,238,238,237,234,222,194,166,146,123,105,92,82,48,47,46,92,208,236,236,238,238,239,239,238,237,238,239,240,239,239,231,204,165,136,125,115,104,93,83,74,49,47,42,89,210,237,237,238,239,239,240,240,240,240,240,240,240,236,205,150,109,98,105,101,96,92,84,73,53,46,36,83,206,234,235,235,236,238,239,239,239,239,239,240,234,203,158,126,95,78,85,91,88,88,87,77,50,38,29,69,170,197,199,201,203,206,207,208,210,211,212,213,197,144,114,116,91,69,70,80,80,82,87,83,39,29,30,64,128,142,143,145,146,149,151,152,153,153,155,160,151,112,96,109,87,63,63,70,73,76,83,85,30,28,33,74,127,133,133,134,135,135,135,136,136,135,139,144,132,101,90,102,83,61,60,66,69,72,78,83
20,163,165,168,169,171,173,173,174,175,175,175,175,174,174,173,172,171,171,170,169,168,166,165,163,163,161,161,160,164,166,169,170,172,174,175,176,177,177,177,177,176,175,175,174,172,171,170,158,165,168,167,165,165,164,163,163,165,167,170,172,173,175,176,178,178,178,179,178,177,176,177,176,173,173,176,126,132,172,169,167,167,166,165,164,166,168,170,172,174,176,178,178,179,180,180,178,178,178,178,177,175,177,176,116,113,151,164,169,168,167,166,165,167,169,171,173,175,177,178,179,181,181,180,179,179,179,178,178,177,182,168,110,88,113,128,171,169,167,166,166,168,171,173,175,176,178,180,181,182,183,182,181,181,180,180,180,178,189,163,103,105,126,115,171,170,169,167,167,169,172,174,176,177,180,181,182,184,184,184,183,182,181,181,181,180,191,158,103,137,133,112,171,172,170,169,168,170,173,175,178,179,181,183,184,186,186,185,185,184,184,183,182,182,189,149,106,158,139,116,171,173,172,171,170,171,174,177,179,180,182,184,185,186,187,187,187,187,185,184,184,186,184,138,116,167,135,122,175,175,173,172,171,173,175,178,180,182,183,184,186,187,188,187,188,188,180,152,158,193,182,133,135,170,127,125,178,176,175,174,172,174,176,178,181,182,184,186,187,188,189,188,188,187,184,147,115,165,169,122,151,176,123,132,180,178,177,175,174,174,177,180,182,183,186,188,189,189,190,189,194,191,187,178,144,123,112,94,147,164,115,143,182,180,178,177,176,175,178,182,184,185,186,188,189,191,192,191,200,195,192,200,180,134,88,69,120,136,108,153,183,181,179,178,178,177,180,183,186,187,188,190,192,193,192,196,186,152,176,179,178,139,95,80,96,104,98,163,183,181,179,179,178,178,181,184,186,188,189,191,193,193,193,202,176,128,157,155,173,158,113,85,80,87,95,171,184,182,180,180,178,179,181,184,186,188,190,193,194,193,194,205,183,147,124,107,151,173,131,93,78,79,99,177,185,183,181,181,180,180,182,184,186,188,191,194,195,195,196,195,159,131,108,80,117,184,147,108,84,77,108,183,185,184,183,182,181,181,182,185,187,188,192,194,196,195,202,192,157,141,120,103,160,191,155,128,95,79,120,188,186,186,185,182,181,181,183,186,188,190,192,195,196,196,206,190,165,140,125,165,205,182,150,136,101,85,129,190,187,186,185,183,182,181,184,186,188,190,193,195,196,199,213,197,161,136,152,212,193,163,138,128,103,91,143,190,188,187,186,184,182,182,184,187,189,192,194,197,198,205,222,191,151,144,184,217,185,155,126,113,102,98,163,191,189,188,187,185,183,182,185,188,190,193,194,197,198,207,217,173,163,148,199,210,180,152,125,101,97,107,179,191,190,188,188,186,184,180,183,187,189,192,193,195,196,207,208,187,177,150,206,200,169,142,121,101,96,124,188,190,189,188,187,185,184,180,182,186,188,191,194,195,196,202,209,204,172,165,204,182,153,129,111,100,97,149,191,191,189,188,187,185,183,181,183,187,189,192,193,195,195,199,207,199,169,157,184,169,139,118,103,97,105,173,193,191,189,188,187,185,184,180,184,187,190,192,194,195,196,199,199,179,162,152,165,161,136,119,103,92,125,188,193,192,189,188,187,186,185,180,184,187,189,192,194,196,196,197,189,173,165,164,163,167,150,117,99,91,148,194,193,191,189,188,188,187,185,179,183,186,189,192,194,196,197,197,198,190,188,180,167,162,149,112,95,94,166,194,191,190,189,188,187,186,185
17,164,165,166,168,171,173,173,176,177,176,177,179,180,181,182,183,183,184,184,184,185,185,185,185,184,185,185,185,165,166,167,171,172,173,174,176,177,177,179,180,181,182,182,184,184,184,185,185,186,186,187,187,187,188,188,187,166,167,170,172,174,175,175,177,178,179,180,181,182,184,184,184,185,186,186,186,187,187,187,188,188,188,189,188,167,168,171,172,174,175,177,178,179,180,181,182,183,184,185,185,187,188,188,188,190,188,188,190,188,189,189,189,167,169,172,173,175,176,178,178,180,181,182,183,184,185,186,187,188,188,185,191,188,189,190,190,189,190,190,189,167,169,171,173,176,177,178,179,181,181,183,184,185,185,187,188,187,191,172,154,155,150,194,190,191,191,191,191,169,170,172,174,176,178,179,180,182,183,184,185,185,186,188,189,187,196,192,139,115,132,193,191,191,192,191,191,170,171,173,176,177,178,179,181,183,185,186,186,187,189,188,189,189,196,200,157,109,138,200,191,192,192,191,192,170,172,173,176,177,178,180,182,184,184,185,187,188,186,192,190,190,193,205,173,118,154,201,192,193,192,192,193,170,172,175,177,178,180,183,183,183,185,186,185,190,174,160,194,191,194,205,172,130,179,198,194,194,193,193,193,170,173,176,177,179,180,182,183,184,185,186,188,195,183,145,152,193,205,202,167,133,187,198,195,195,194,194,193,171,173,176,177,180,181,183,183,184,189,179,163,190,197,184,168,150,175,195,169,132,186,199,196,195,195,194,194,171,174,177,178,180,182,184,183,187,208,179,138,173,195,207,196,155,119,164,162,133,185,200,197,195,195,196,195,172,175,178,179,181,183,185,183,196,184,188,164,163,152,183,209,181,128,131,149,128,183,200,197,195,196,197,196,173,175,178,180,181,182,185,183,203,176,152,155,130,102,136,221,196,146,117,130,120,183,201,197,197,197,197,196,174,176,177,180,182,183,186,187,200,167,140,154,135,124,136,218,207,165,119,122,116,180,202,197,198,197,197,197,173,176,178,180,182,184,184,191,204,182,169,160,143,161,149,209,211,174,130,119,117,175,203,197,198,198,197,198,174,176,179,181,182,185,183,200,197,167,161,156,153,169,189,209,195,180,138,115,114,177,204,197,199,199,198,198,175,177,179,181,184,186,185,206,187,164,156,157,164,180,227,207,180,170,136,111,108,179,205,199,199,199,199,199,176,177,178,181,184,186,185,212,190,171,159,159,166,212,221,204,178,161,132,110,109,187,203,200,199,199,199,199,175,178,179,182,183,185,189,214,192,179,160,159,187,225,209,199,171,156,127,108,123,203,200,200,199,199,200,200,175,177,180,183,185,183,194,216,192,185,172,160,203,223,205,197,164,146,125,103,155,208,198,200,200,200,198,198,175,177,180,183,187,184,198,221,195,192,185,168,206,213,199,192,166,136,120,110,189,203,200,201,201,201,200,200,175,178,182,184,186,185,195,224,201,197,191,176,195,207,196,187,162,134,109,141,209,199,200,201,202,202,200,200,176,178,182,185,187,186,191,222,208,193,185,183,186,199,191,194,159,130,107,168,208,199,200,201,201,201,200,201,176,178,182,185,186,189,188,217,204,193,180,182,189,189,190,195,159,128,110,183,206,201,202,202,202,201,202,202,176,179,181,183,186,187,191,216,202,193,181,181,189,187,190,187,152,125,127,203,203,203,203,203,202,202,202,202,176,177,179,183,187,186,194,218,210,194,185,188,194,182,187,176,143,116,163,209,201,202,202,202,202,203,203,202
15,133,132,124,88,132,98,30,71,82,84,86,89,93,99,113,125,134,140,144,147,152,157,162,166,169,172,174,176,137,135,123,91,137,92,31,73,82,84,87,91,94,100,115,126,136,142,144,148,153,159,164,167,171,174,176,178,141,139,121,96,142,86,34,77,83,85,88,91,95,101,116,128,138,143,146,150,156,161,166,170,173,175,178,180,144,143,119,102,146,78,36,79,83,85,89,92,95,103,118,128,138,146,148,151,157,162,167,172,174,176,179,181,147,146,115,110,149,69,41,81,84,86,89,93,95,104,119,130,140,147,150,153,159,165,170,173,176,179,181,183,150,150,110,118,149,62,47,83,84,87,90,94,96,104,119,132,142,148,151,155,161,167,171,174,178,181,183,185,153,153,107,127,148,56,51,83,84,86,89,93,96,106,120,133,143,150,153,157,163,168,172,176,180,182,185,186,156,156,107,147,156,110,105,122,117,114,110,106,102,108,120,133,143,150,153,158,164,168,173,177,180,183,186,187,158,157,119,168,147,141,139,159,149,147,150,153,139,126,120,131,141,143,144,156,165,169,174,178,181,185,187,188,158,156,106,142,111,108,112,136,125,123,149,162,143,124,130,153,161,144,124,121,161,171,175,180,183,186,188,190,160,156,100,148,117,66,84,106,103,102,131,146,131,116,144,163,159,157,157,112,121,166,178,181,185,188,190,192,164,154,100,161,127,33,75,89,89,91,99,120,123,138,172,158,149,170,170,147,106,112,171,183,186,189,191,194,167,151,103,167,120,32,80,89,89,89,105,132,134,138,165,141,140,165,159,162,126,91,111,174,188,189,193,195,169,149,109,172,112,32,83,89,88,94,162,156,118,106,109,109,140,152,154,147,130,107,82,107,170,192,194,196,173,144,115,176,103,34,85,89,87,99,172,171,131,98,70,81,141,160,153,120,107,102,89,76,95,167,197,198,179,141,124,179,94,37,88,89,87,89,151,183,159,140,120,125,138,141,131,97,85,89,84,80,73,96,182,199,182,135,132,179,85,40,90,88,95,128,166,173,166,143,123,124,121,119,121,99,82,84,82,78,74,70,124,198,184,130,141,178,77,44,92,87,146,165,157,141,152,128,95,103,102,101,101,89,82,86,84,79,76,74,78,145,186,124,147,177,69,48,93,90,151,140,121,113,123,101,80,83,81,78,81,83,89,99,97,80,74,77,76,81,187,120,156,176,60,52,94,89,107,102,89,103,105,86,78,86,78,70,91,98,106,114,101,76,73,78,79,76,188,117,164,174,54,56,94,89,88,88,90,117,151,125,97,93,92,82,87,98,106,105,91,75,74,81,83,81,188,115,172,172,48,60,94,89,88,89,91,95,112,112,89,78,106,117,80,84,101,97,85,79,80,86,84,81,189,114,183,172,43,65,95,88,87,88,90,93,98,113,123,132,143,129,104,100,96,89,84,85,87,85,81,80,187,115,190,168,38,69,95,88,86,87,89,91,99,117,133,146,156,140,80,90,110,112,101,92,78,67,61,58,183,119,196,161,34,73,95,88,86,87,88,90,98,116,132,144,157,121,71,67,113,98,68,48,34,29,27,20,177,121,199,153,32,76,92,86,85,85,86,89,98,115,131,145,155,103,76,71,43,42,40,30,24,20,17,12,170,128,203,143,31,79,91,84,82,84,85,87,96,114,131,146,146,91,72,71,52,22,39,31,24,20,17,12,165,137,207,135,31,82,90,83,81,82,84,86,95,113,130,145,132,79,71,69,62,15,30,30,20,16,16,12
20,164,166,170,172,175,176,179,180,181,182,184,185,185,186,185,185,184,185,184,185,184,184,182,180,179,179,178,177,166,169,172,174,177,180,181,182,183,184,185,187,187,197,188,173,185,186,186,186,186,185,185,184,183,181,180,179,168,172,174,176,179,182,183,185,185,186,187,188,188,214,191,139,185,170,187,188,187,187,187,186,185,183,181,181,171,174,177,178,182,184,185,187,188,189,190,192,191,219,191,145,201,140,183,191,190,190,190,188,187,186,184,183,172,177,179,180,183,186,187,189,190,192,193,194,193,220,192,153,215,147,171,194,194,193,192,191,190,188,186,185,174,179,180,182,186,188,189,191,193,194,194,195,194,229,205,158,221,163,163,195,196,196,195,193,192,191,189,188,176,179,182,185,188,191,192,193,195,196,198,198,196,233,200,164,229,177,159,199,199,199,197,196,194,193,191,189,178,180,184,186,190,193,194,196,196,196,198,200,199,234,194,172,229,177,154,200,201,201,199,198,196,195,194,193,179,183,186,189,192,194,196,197,198,199,214,212,199,231,196,175,229,171,154,203,203,202,201,200,198,197,196,195,181,185,188,190,193,196,198,199,200,206,246,240,196,162,175,172,223,171,160,205,203,204,203,202,200,199,198,197,184,187,190,193,195,197,200,200,218,226,216,217,192,142,125,146,195,161,166,208,206,206,204,204,202,201,200,199,185,188,192,194,197,199,201,209,244,240,201,173,196,176,165,137,153,146,166,209,209,207,206,205,204,203,202,200,186,189,192,196,199,201,204,216,220,181,213,188,172,208,205,155,120,124,166,209,209,209,207,206,206,205,203,202,188,191,194,198,200,202,204,219,216,145,132,130,115,184,209,169,122,115,163,210,211,211,209,209,208,207,206,205,190,193,195,199,201,204,206,223,205,173,150,118,116,128,220,202,146,111,161,213,213,213,211,210,210,209,207,206,191,194,198,201,203,206,206,230,231,195,152,130,134,127,215,226,173,116,152,215,215,215,213,212,212,211,209,207,192,196,199,202,205,207,208,234,231,181,144,135,149,158,218,243,196,135,144,216,216,216,214,213,213,212,211,209,194,198,200,204,206,209,209,235,231,187,157,153,164,182,241,245,203,149,143,218,217,217,216,215,215,214,212,211,195,199,202,205,208,210,212,237,240,200,172,165,180,219,253,240,194,155,138,218,218,217,218,217,216,215,213,213,196,200,203,206,209,213,213,236,246,214,180,177,194,242,253,235,188,153,138,219,219,219,218,218,219,217,214,213,197,199,202,206,209,212,213,232,249,224,191,184,208,249,246,225,185,148,132,220,222,221,220,220,219,219,216,215,197,199,203,206,209,212,212,228,249,228,202,198,213,249,238,210,181,141,126,218,221,220,219,218,218,218,216,215,198,201,205,208,211,213,214,222,247,234,216,217,209,240,227,201,176,135,124,219,223,222,221,219,218,217,216,215,198,201,206,209,212,213,216,218,242,240,224,224,204,216,209,187,165,129,128,223,224,224,223,222,220,219,218,204,200,203,206,209,212,215,218,219,236,247,229,213,189,188,194,170,164,121,147,227,226,226,224,222,223,216,192,136,201,204,207,209,213,215,218,219,233,247,221,193,163,165,184,164,155,108,181,228,228,227,226,224,197,144,112,95,199,203,206,211,214,215,187,128,178,238,200,172,150,161,189,154,137,106,215,228,228,229,226,188,125,108,96,88,169,173,179,183,187,189,124,45,125,229,207,175,150,167,193,135,113,72,146,218,220,221,185,120,102,93,86,84
21,156,158,160,162,164,166,167,168,168,169,169,169,168,167,166,165,164,163,163,162,160,159,158,157,155,154,152,152,157,159,161,163,165,167,168,169,170,170,171,170,170,169,168,166,165,165,164,164,162,161,159,158,157,156,154,153,158,160,163,165,166,168,170,171,172,172,172,172,172,171,170,165,150,159,166,165,164,163,161,160,159,158,157,155,159,162,164,165,167,170,172,173,174,174,173,173,173,173,174,164,125,142,167,167,166,165,162,162,161,160,159,158,160,163,166,167,169,172,174,175,175,175,175,175,175,174,177,160,117,143,168,168,167,166,164,164,163,162,161,160,161,164,167,168,171,173,174,175,176,176,176,177,176,176,181,157,120,151,171,169,163,152,157,166,165,164,162,161,163,165,168,170,172,174,175,177,178,178,179,178,178,178,184,155,124,159,173,169,152,123,137,165,166,165,164,163,165,167,170,172,174,175,177,179,180,180,180,180,179,182,185,150,126,164,173,165,143,115,139,166,167,166,165,164,165,168,171,173,175,177,179,180,181,181,181,181,180,185,181,142,126,167,173,161,136,119,155,169,168,168,166,165,166,169,172,174,177,179,180,181,182,182,181,178,179,188,176,132,128,169,169,155,128,132,166,171,170,169,168,166,168,170,173,175,178,180,181,182,183,184,179,160,156,181,166,124,139,170,160,143,120,148,172,173,172,170,169,168,168,171,174,176,178,180,182,183,185,186,183,157,130,139,131,111,147,167,154,128,124,164,176,175,173,172,170,169,169,172,175,177,180,181,183,185,186,189,189,180,152,123,98,99,145,157,143,118,144,175,177,176,174,173,171,170,170,173,176,179,181,183,184,186,190,191,190,193,176,131,94,92,117,127,120,122,164,178,178,177,176,174,173,171,171,174,177,180,182,184,186,189,189,169,171,173,169,133,97,87,92,99,103,140,177,180,179,178,177,175,173,172,173,175,178,181,184,185,187,193,184,151,142,132,155,144,107,86,83,88,111,164,182,181,180,179,179,177,175,173,173,176,180,182,185,187,189,196,179,146,117,101,144,156,120,92,82,88,133,179,184,182,182,181,180,178,176,175,174,178,181,183,186,187,192,195,166,137,116,110,155,167,134,103,86,92,150,185,185,184,183,182,180,179,177,176,176,179,182,184,187,189,197,196,169,146,132,151,186,172,144,116,91,96,157,187,187,185,184,183,181,180,179,177,176,179,182,185,187,190,202,201,175,148,150,190,193,163,141,118,97,104,163,188,188,187,185,184,183,182,180,178,177,179,182,185,188,192,208,206,174,152,173,206,186,154,130,115,100,115,171,189,188,187,187,186,184,182,180,179,178,180,183,186,188,193,209,199,172,162,184,207,182,154,124,107,101,128,180,190,189,188,187,186,185,183,181,180,178,180,184,186,189,193,204,194,183,167,188,201,174,148,121,103,103,144,187,191,190,189,188,187,185,184,182,181,176,179,182,185,189,192,199,201,192,170,189,189,160,135,115,103,109,160,191,191,190,189,188,187,186,184,182,180,175,178,182,185,188,191,196,200,186,164,177,174,147,122,107,100,119,173,192,191,189,188,187,186,185,183,181,180,176,179,182,186,189,191,195,192,176,161,167,165,145,122,106,99,131,183,193,192,190,189,188,187,185,183,182,180,176,179,183,186,189,192,194,189,177,172,170,165,153,124,103,98,144,189,193,192,190,189,189,188,186,184,182,180,176,179,182,186,189,191,193,193,191,187,175,163,153,123,99,98,153,191,194,192,190,189,188,187,186,185,183,181
11,145,149,154,160,164,167,171,174,177,179,180,184,194,172,185,184,183,184,183,183,183,182,181,182,165,186,195,200,148,153,160,165,168,172,176,179,182,184,183,189,209,141,183,188,186,185,185,184,183,182,182,178,178,200,201,205,152,156,164,171,175,178,182,185,187,189,188,194,228,136,166,196,189,189,188,188,187,186,184,180,198,153,197,208,155,160,169,175,180,182,187,190,193,195,194,201,231,133,155,204,194,194,192,192,192,190,188,186,188,192,210,206,159,164,174,180,185,188,193,197,199,201,200,208,226,128,158,209,198,199,198,197,196,195,194,191,189,195,171,200,161,167,178,186,190,194,199,202,205,207,206,217,231,131,164,215,204,205,205,203,202,200,197,195,195,186,171,204,164,171,182,190,195,199,204,207,210,214,208,236,224,116,178,220,210,211,210,209,207,205,203,200,199,196,194,209,168,175,188,194,199,203,208,212,215,219,214,251,223,114,196,223,216,215,216,214,212,210,208,205,203,200,198,217,171,179,192,198,203,207,213,217,219,220,223,230,164,119,202,227,220,220,219,219,218,216,214,210,208,206,202,219,175,183,194,201,208,213,217,221,223,220,253,226,132,114,208,230,224,223,223,223,222,220,219,216,212,209,207,221,177,185,198,205,210,215,220,222,229,229,173,191,164,123,217,232,228,227,228,226,225,224,221,220,216,215,210,219,179,189,201,208,213,219,222,231,255,226,125,124,179,132,209,238,231,230,230,229,228,227,225,221,225,197,133,230,181,192,204,212,216,219,231,193,194,205,162,121,168,136,188,243,232,234,234,233,231,230,231,226,234,150,92,157,184,194,206,213,216,236,249,184,123,147,191,133,139,141,159,245,234,237,237,236,231,220,208,206,198,114,103,94,185,197,208,214,238,243,215,210,179,124,162,142,122,154,130,236,241,240,234,227,227,209,189,188,165,115,103,102,187,199,208,239,244,185,146,184,205,140,121,133,112,178,152,207,247,232,232,232,231,204,179,160,137,105,97,99,188,200,212,249,222,167,134,116,191,144,113,137,99,169,186,138,201,236,242,223,189,156,119,91,90,91,89,96,189,202,211,239,201,147,122,96,163,155,117,149,103,131,176,145,203,232,214,167,128,104,82,86,86,84,90,86,190,203,210,230,198,152,130,111,130,160,127,162,129,178,188,168,195,190,149,102,83,98,94,77,81,84,93,64,189,203,209,233,215,169,141,122,120,138,151,177,171,220,186,150,161,126,82,91,81,83,97,88,72,75,76,73,190,204,211,236,220,178,157,130,131,140,194,233,236,208,166,145,119,90,76,80,91,78,84,92,81,73,72,74,192,205,213,236,225,194,166,136,145,149,218,242,220,189,152,128,69,76,93,70,85,88,76,80,87,74,71,72,185,196,205,229,225,201,170,148,154,153,212,228,198,165,141,115,69,60,90,84,72,86,83,74,78,81,66,72,144,147,142,184,223,207,176,163,158,156,193,216,189,155,131,95,85,54,77,91,79,76,83,76,70,80,69,64,145,146,143,156,214,210,183,173,161,150,182,199,178,145,99,68,95,59,62,87,84,79,77,76,68,72,75,62,147,147,148,150,212,208,188,177,162,139,166,168,148,115,71,61,92,74,50,78,88,78,76,75,69,67,69,69,146,148,148,149,213,216,192,175,158,141,148,148,116,68,72,66,83,88,54,62,87,81,74,76,73,68,64,65,146,147,150,140,201,215,178,162,152,143,145,135,99,65,52,71,75,92,69,52,77,83,72,73,73,67,66,62
0,188,189,191,193,194,199,200,200,201,202,203,206,209,208,207,207,208,209,210,210,208,209,210,209,210,209,208,208,188,190,194,196,198,200,201,202,202,204,204,206,208,209,209,207,210,210,210,210,210,210,209,210,210,210,210,211,188,191,194,198,199,200,203,202,205,208,207,209,209,207,207,211,210,208,210,212,212,212,214,214,212,212,214,212,190,193,195,198,199,201,203,205,207,208,207,210,213,211,219,210,210,215,228,212,206,238,199,205,219,216,214,212,192,195,198,199,201,203,205,208,207,216,238,211,190,241,242,199,171,228,247,208,177,237,198,174,224,215,216,215,194,196,199,199,203,206,205,210,204,247,254,221,158,206,239,205,154,172,240,214,161,201,222,157,213,221,216,217,195,198,201,202,205,203,229,233,194,248,244,230,174,173,238,215,174,153,245,216,155,153,226,178,166,207,221,217,197,199,201,205,204,219,255,237,189,219,253,228,196,174,237,219,174,169,247,205,155,108,201,207,175,159,196,223,198,201,202,205,201,242,255,244,209,197,254,224,201,166,242,230,164,174,244,184,146,67,151,217,202,147,157,231,200,202,204,205,208,255,255,254,225,183,243,229,195,164,249,231,150,143,213,165,119,61,176,233,211,153,167,234,202,203,205,201,222,249,233,255,233,175,225,231,185,156,237,215,148,104,161,154,92,86,231,234,217,149,195,233,203,204,209,200,243,250,225,239,203,144,194,215,171,137,185,181,143,94,158,147,82,171,243,228,188,141,221,228,204,208,205,212,255,247,204,214,163,109,158,187,160,116,132,163,112,93,186,187,194,228,227,207,152,155,235,226,204,208,201,234,255,240,196,194,171,124,141,182,165,99,107,152,127,198,242,238,226,203,197,172,143,174,237,227,208,212,206,225,255,252,228,188,170,141,131,201,172,85,95,190,242,255,244,231,212,186,165,157,128,190,238,230,210,215,210,224,255,255,241,215,182,163,166,198,168,146,217,255,255,247,238,223,197,169,153,142,140,227,234,233,210,213,209,230,255,255,248,230,216,186,189,205,225,255,255,255,253,239,221,203,177,154,141,133,211,238,234,234,209,213,210,231,255,255,255,243,233,212,201,229,246,255,255,255,246,230,205,179,155,145,123,187,240,232,237,235,210,213,211,227,255,255,255,251,241,228,217,228,244,255,255,248,238,216,191,160,144,126,152,240,234,235,236,236,211,213,214,224,255,255,255,253,238,225,218,221,235,251,246,231,220,201,167,148,129,130,225,240,236,238,237,236,211,213,217,218,255,255,255,246,230,213,212,217,225,231,224,210,190,175,150,129,119,213,245,236,237,238,238,237,214,219,222,220,248,255,255,246,230,211,212,221,225,225,209,190,162,146,124,98,193,249,236,239,239,239,238,239,212,208,208,196,209,223,203,194,186,178,190,204,201,198,176,162,143,120,94,176,248,238,241,239,240,241,240,239,164,147,146,139,127,120,118,106,96,86,86,83,73,72,69,72,80,78,102,227,249,238,240,240,242,241,240,240,137,138,135,127,125,122,112,100,94,79,71,58,50,50,46,43,41,47,53,65,176,252,238,242,243,241,241,241,144,141,140,131,127,119,110,100,89,77,71,61,55,52,49,47,45,46,51,23,122,255,239,243,242,243,243,243,166,139,142,132,130,117,107,97,82,75,68,62,52,50,48,43,42,42,44,41,218,249,242,245,243,243,243,243,183,142,137,134,129,116,104,95,83,74,65,61,53,51,47,43,41,44,30,110,255,239,243,244,245,245,245,245
2,162,161,162,162,162,163,163,162,162,161,161,161,161,161,159,160,159,158,156,157,157,156,159,101,66,69,66,68,164,163,164,164,164,165,164,164,163,164,164,164,162,162,163,159,163,162,162,160,160,157,163,126,68,73,62,70,166,166,167,166,166,167,166,167,167,167,167,165,165,169,160,113,117,151,141,164,163,160,164,141,71,60,50,68,168,169,169,170,169,170,170,169,169,166,169,171,171,146,110,88,71,101,85,138,165,162,163,154,84,47,54,76,171,171,172,173,172,172,173,172,170,176,183,175,114,85,75,71,69,79,73,70,142,170,162,169,104,35,45,67,173,173,174,174,174,173,173,173,174,185,176,128,76,68,66,62,59,65,73,64,138,172,164,171,126,107,83,54,176,176,176,177,177,177,176,171,180,191,125,78,64,58,65,61,55,60,60,81,161,171,168,170,151,115,158,143,178,177,177,178,178,178,177,171,192,176,101,71,63,56,59,64,70,94,126,160,174,172,170,178,131,115,186,162,179,180,179,178,179,180,177,179,195,148,92,69,75,66,68,73,137,179,179,177,173,173,171,179,139,141,179,118,180,181,181,181,181,181,178,192,181,130,82,65,73,66,88,155,182,177,176,177,176,176,174,175,166,152,117,115,182,182,182,182,184,181,183,200,173,126,91,76,67,67,138,193,178,179,178,179,178,177,176,175,176,168,122,169,184,183,183,184,185,181,194,204,162,117,90,86,72,68,158,187,181,180,181,180,179,178,177,178,176,172,166,155,185,185,184,185,185,181,206,195,151,105,85,83,76,89,183,184,183,182,181,180,180,179,179,179,179,174,172,177,186,185,185,187,182,185,211,182,145,105,82,77,74,113,192,184,185,184,183,182,182,181,181,181,179,178,171,155,188,187,187,187,178,200,205,171,135,100,82,78,73,118,195,183,185,184,184,184,184,181,181,181,181,179,183,148,189,189,190,185,185,210,192,161,125,94,82,82,68,142,197,183,186,186,185,185,185,185,185,184,185,184,180,180,189,188,191,178,195,211,185,152,116,92,78,73,66,117,196,187,187,186,188,190,185,172,162,154,150,170,185,180,190,190,191,179,208,204,177,144,111,91,71,69,79,74,124,199,195,191,180,162,148,151,148,139,122,96,167,185,190,193,182,192,211,198,168,134,105,89,63,70,82,87,79,138,166,149,140,150,151,148,131,115,124,124,170,186,192,190,180,209,207,191,156,126,100,82,60,84,90,98,102,96,105,128,151,154,137,104,105,155,186,190,187,185,195,184,198,213,203,182,150,122,97,81,68,95,103,109,108,109,116,131,131,113,103,112,176,195,188,186,186,186,185,194,210,203,195,176,142,110,92,82,79,101,111,112,111,105,105,101,103,138,175,191,192,189,189,189,188,186,183,201,204,198,191,165,130,101,91,81,92,109,114,111,102,92,84,123,182,198,195,191,190,191,190,190,189,189,194,199,198,186,167,139,111,96,90,84,99,108,111,99,87,108,156,197,199,194,192,192,193,192,190,189,188,189,193,193,183,164,146,126,104,94,88,91,97,104,101,81,128,195,201,195,196,195,193,193,194,192,192,191,190,189,191,183,164,144,136,113,98,93,93,95,93,88,91,143,201,199,196,196,197,197,196,195,194,193,193,193,192,191,185,175,148,120,111,93,91,96,94,90,89,126,180,204,197,198,198,198,198,197,197,196,196,196,195,193,193,187,180,165,134,105,88,86,92,95,87,122,171,204,204,197,199,199,198,198,198,197,197,197,197,196,196,194,195,168
21,195,196,199,202,205,206,205,207,208,210,210,209,209,209,209,210,210,209,209,209,208,208,208,207,205,205,203,203,197,198,201,203,205,206,208,209,209,210,209,210,209,210,212,213,211,210,210,210,210,210,209,208,207,206,205,204,198,200,202,204,206,208,210,210,211,209,239,212,190,215,215,215,214,213,213,212,212,212,211,210,209,208,208,206,201,202,204,207,209,209,211,212,213,211,249,233,170,204,218,215,215,215,216,216,215,214,214,214,211,210,210,208,202,204,206,209,211,212,212,215,217,211,228,254,180,180,222,216,217,218,217,217,216,216,217,205,214,212,212,209,204,206,208,210,212,215,215,216,217,216,216,255,224,181,212,219,219,220,219,220,215,228,220,159,209,216,214,213,205,207,209,212,214,216,216,217,218,219,213,248,255,190,193,225,221,221,221,222,216,243,208,152,213,217,216,215,207,209,212,214,217,218,218,220,220,221,218,238,255,200,176,223,223,221,223,219,229,248,188,169,224,217,217,217,207,209,213,215,218,219,220,221,221,222,222,226,255,218,174,215,225,223,224,221,246,239,173,194,227,219,219,218,210,211,214,216,218,220,221,221,222,224,223,240,249,233,171,201,231,226,223,229,245,215,159,214,224,221,222,220,210,213,216,218,220,222,223,222,223,219,235,255,247,231,177,156,226,228,224,246,241,184,170,230,222,222,222,220,212,215,217,220,222,222,223,225,224,241,241,244,255,228,204,174,194,231,234,250,234,165,206,231,224,224,224,222,214,216,219,222,222,223,225,227,229,255,244,222,255,246,239,234,184,186,222,228,198,165,231,227,227,225,223,222,216,218,221,222,223,225,228,225,239,242,245,232,191,194,250,242,192,145,180,192,157,193,236,227,229,227,225,224,217,220,223,223,227,228,230,225,242,246,194,174,137,128,201,250,207,155,150,161,146,221,232,229,229,228,227,226,217,221,223,224,228,229,231,227,248,235,194,194,166,149,161,255,234,176,139,140,158,235,231,231,229,229,227,227,219,222,224,227,228,230,231,228,253,255,234,203,168,174,164,241,255,195,146,126,176,241,232,233,231,231,229,228,221,222,226,228,230,231,232,230,255,255,210,185,172,191,191,252,255,216,164,124,182,242,232,233,233,232,231,230,222,224,227,228,230,232,234,234,255,245,205,193,198,206,220,255,255,222,179,133,181,244,233,235,234,233,232,232,223,226,228,229,232,233,235,235,255,255,225,214,212,216,247,255,253,218,182,133,183,246,234,236,235,235,234,233,222,226,228,229,231,232,235,234,255,255,235,214,224,231,255,255,253,211,186,137,183,247,235,238,237,236,235,234,222,226,228,229,231,233,236,233,255,255,242,218,225,242,255,255,253,211,181,137,191,247,236,237,236,235,235,234,224,226,228,230,232,235,236,233,255,255,243,233,228,251,255,255,245,207,178,135,197,248,235,237,238,236,235,233,224,227,228,231,234,235,238,236,255,255,250,251,241,255,255,255,237,207,172,132,195,250,238,239,239,239,237,236,225,227,228,233,235,236,238,237,246,255,255,255,252,248,255,243,228,202,163,128,196,252,239,241,239,238,240,234,225,228,230,234,236,238,240,240,239,255,255,255,249,238,249,226,215,200,157,125,204,252,240,243,244,247,239,173,227,230,233,237,238,240,242,242,241,255,255,255,232,217,228,219,210,203,150,125,229,249,242,246,240,199,154,127,208,213,217,220,222,224,228,234,219,229,255,244,215,195,210,221,205,194,131,142,250,242,245,239,173,133,128,122
21,142,146,148,150,153,155,157,160,163,164,164,163,162,168,165,165,167,167,164,165,165,165,167,166,163,163,162,159,144,147,150,153,156,157,160,162,164,166,163,172,182,145,166,170,169,169,168,167,167,168,168,168,167,165,165,164,146,149,153,156,158,161,163,164,165,169,165,187,217,136,137,177,171,171,172,171,171,171,170,169,171,170,168,165,148,151,154,157,160,162,165,167,168,172,172,169,217,173,107,170,176,173,174,173,173,174,171,175,164,158,171,167,149,153,156,159,161,164,167,169,171,173,175,169,196,207,139,145,180,175,176,175,175,176,172,198,150,109,176,170,150,155,159,161,163,165,169,172,173,173,174,173,179,226,183,127,172,180,178,178,179,175,181,208,136,114,179,170,152,157,160,162,164,168,170,174,175,175,176,178,174,220,203,130,150,184,179,179,179,173,198,201,118,141,181,172,155,158,162,164,167,170,171,173,175,177,178,180,173,206,216,147,130,185,180,180,180,182,215,183,114,166,181,177,157,160,163,166,170,172,173,176,177,178,180,181,177,194,212,172,120,181,184,183,179,195,205,156,112,182,178,178,158,162,165,169,171,173,175,178,179,181,183,179,193,226,202,179,102,137,192,180,185,211,193,120,135,190,178,179,160,164,167,170,172,175,177,178,180,182,181,188,199,222,206,175,132,99,171,189,197,214,182,108,174,187,182,180,162,164,167,171,175,178,179,179,181,184,186,230,194,184,227,195,186,172,129,162,188,194,141,122,193,183,184,182,163,166,170,173,176,179,179,181,184,184,197,210,210,189,170,179,217,198,125,96,145,148,102,157,193,185,186,185,164,168,170,173,177,179,180,183,186,182,201,200,169,129,74,85,187,198,143,91,105,109,98,186,189,187,187,186,165,169,171,175,179,180,183,186,188,183,206,195,127,125,105,83,129,218,173,110,83,85,113,197,189,189,187,187,166,170,172,177,179,181,185,187,189,186,210,205,187,162,116,118,112,210,201,131,83,69,134,202,190,191,190,189,167,171,175,178,180,183,185,188,190,186,224,225,176,142,119,140,136,212,222,160,101,65,140,203,190,193,193,192,170,173,177,179,182,184,185,188,191,189,227,205,152,136,143,160,172,232,221,175,122,72,133,205,190,193,192,192,169,173,176,180,183,186,188,189,191,192,226,210,176,167,167,169,203,237,212,173,127,74,134,206,191,193,192,192,168,171,176,179,183,185,186,188,192,188,227,224,189,171,178,187,219,237,209,164,135,77,130,207,192,194,193,193,170,174,177,180,184,186,187,189,193,188,222,232,202,174,184,198,231,236,215,167,134,81,135,207,193,195,194,193,172,176,179,182,185,186,188,191,194,189,218,236,205,186,185,211,237,225,207,163,130,78,141,208,195,196,196,195,173,176,180,182,185,187,190,192,196,194,213,237,210,207,197,214,237,222,198,164,123,76,135,212,197,199,198,198,173,177,179,185,186,188,193,195,197,197,204,235,221,219,213,208,230,208,188,161,116,73,131,213,198,201,199,199,175,178,181,185,186,191,194,196,198,198,197,223,229,224,215,202,212,190,173,156,109,68,138,213,200,200,204,202,168,173,177,181,186,190,193,195,198,200,197,214,234,223,201,180,191,180,161,162,104,59,170,219,208,211,189,125,111,113,116,120,123,124,128,130,130,130,132,154,232,212,181,152,163,181,159,157,93,59,151,163,161,166,102,73,82,83,84,83,81,83,87,86,82,88,72,57,211,192,159,142,157,183,146,145,76,42,62,80,89,91,66,67
11,114,119,125,132,137,141,145,150,152,154,156,157,160,161,162,162,162,162,162,162,162,161,160,160,126,105,142,184,117,121,127,134,138,143,147,150,154,156,157,159,175,149,160,162,162,162,161,162,161,160,158,159,133,123,146,187,121,125,132,138,142,146,150,154,157,159,161,161,191,133,143,165,163,163,163,162,161,160,158,156,149,178,180,187,124,129,137,143,148,153,157,160,163,164,165,167,203,137,124,168,166,166,165,164,163,162,160,157,170,160,184,187,130,134,142,148,154,159,163,167,169,171,172,174,207,134,114,172,171,170,170,169,168,166,165,163,166,144,188,188,134,139,149,155,160,164,169,173,176,178,179,182,207,127,119,179,177,177,176,175,173,172,170,167,170,181,180,187,137,144,154,162,167,171,175,179,183,185,185,193,213,123,127,186,184,183,182,181,180,177,175,172,171,160,150,184,140,148,159,168,173,178,183,186,189,191,191,211,214,107,141,194,190,189,188,187,186,183,181,178,176,168,167,185,143,153,165,173,178,183,189,193,195,197,197,218,195,104,159,200,196,195,194,193,191,189,186,184,182,178,182,193,147,157,170,178,183,188,193,198,200,201,212,212,130,92,168,204,201,199,199,198,197,194,192,190,187,183,187,203,151,160,174,182,188,193,198,202,205,206,199,196,130,93,177,208,206,205,205,204,202,200,197,195,191,188,189,205,155,165,177,185,191,197,202,208,225,217,129,119,142,107,183,212,210,210,209,208,207,204,202,200,196,193,194,206,158,169,181,189,195,200,206,195,207,200,131,95,135,117,170,217,213,213,214,212,210,208,206,204,201,185,173,206,160,171,184,192,198,208,224,176,118,138,155,108,116,116,149,219,217,217,217,216,214,211,209,206,205,131,107,195,162,175,187,195,210,226,214,188,144,105,140,118,96,119,122,216,221,221,220,216,211,198,182,178,168,91,70,101,165,178,189,209,228,191,153,170,178,119,100,106,88,130,118,200,225,222,215,208,209,188,165,158,135,87,70,64,167,180,193,227,214,154,112,106,167,124,84,98,80,142,148,160,207,215,219,214,201,172,143,120,99,75,66,64,169,181,195,224,194,135,99,75,137,128,89,107,73,117,152,115,172,214,216,187,148,112,76,58,63,59,61,64,171,183,193,214,177,123,94,77,108,134,99,124,94,126,149,139,179,193,165,117,85,63,50,50,51,51,54,59,172,185,194,215,193,142,109,88,91,117,116,142,130,182,163,136,152,133,91,56,58,61,49,45,47,49,55,32,172,185,196,220,200,152,122,98,96,113,155,192,196,191,150,121,111,62,49,50,45,57,57,42,40,44,45,26,172,185,196,221,206,168,136,105,110,126,194,225,213,173,130,103,65,48,36,52,44,44,56,51,37,35,36,35,172,186,197,218,207,178,141,115,122,136,201,215,186,149,115,71,29,50,42,39,50,43,45,51,44,34,34,35,173,186,198,209,203,185,149,131,129,138,186,201,167,129,102,64,22,35,53,37,44,49,40,41,47,36,33,34,142,150,157,172,200,189,157,144,132,136,168,186,157,119,79,55,32,23,50,48,38,44,45,36,39,41,28,32,116,116,115,134,197,188,164,152,132,123,154,158,131,91,40,43,44,16,37,51,43,40,41,37,32,39,30,24,118,119,118,136,201,191,168,151,130,116,132,124,96,55,24,34,52,21,23,49,47,42,38,35,28,32,32,23,119,120,120,130,198,191,163,144,127,116,121,108,57,36,29,29,53,33,13,38,49,41,38,35,31,29,26,26
10,11,65,49,0,0,31,34,42,50,62,81,90,98,107,111,116,118,120,123,127,131,135,136,138,141,143,144,145,20,72,39,0,6,33,36,44,52,62,83,91,100,107,111,118,119,121,128,129,134,136,138,140,142,145,146,147,34,75,26,0,14,33,37,45,53,66,84,93,103,110,115,116,127,123,111,133,134,137,139,141,144,145,148,151,50,77,14,0,21,33,39,46,53,70,87,95,104,112,118,114,151,123,73,135,135,137,141,143,145,146,149,152,61,77,0,0,26,33,41,48,55,74,89,96,106,113,118,116,155,136,70,129,139,139,143,144,146,149,152,152,65,79,0,0,29,35,42,50,58,76,90,99,107,113,119,117,152,142,63,118,143,140,144,146,149,151,153,152,71,79,0,0,30,34,42,49,58,79,92,101,107,114,120,121,143,152,79,96,150,141,145,147,152,152,154,155,78,73,0,0,32,35,44,52,61,80,97,104,110,116,123,122,136,155,93,70,150,143,146,149,153,154,155,158,85,65,0,3,33,37,42,52,59,115,96,63,109,116,121,125,131,145,106,54,134,149,148,150,154,156,156,158,91,54,0,9,34,34,53,59,67,133,87,42,76,123,121,126,129,158,129,49,108,154,148,152,155,156,158,160,97,41,0,18,28,57,132,62,50,109,109,62,41,115,124,129,126,178,151,60,82,157,147,154,155,157,160,162,100,24,0,25,31,56,98,43,23,65,131,94,37,86,137,127,128,173,137,74,64,156,149,154,157,160,160,163,99,9,0,28,35,39,54,53,32,46,128,96,50,35,96,131,136,155,125,83,50,148,153,154,160,162,162,164,101,0,0,35,35,43,51,59,60,48,122,101,54,31,27,78,135,130,119,96,45,135,158,156,160,163,165,166,98,0,0,38,38,44,52,60,76,84,146,131,77,40,26,23,66,89,107,95,47,126,161,157,161,163,166,167,91,0,0,37,38,44,54,59,73,124,170,144,103,51,29,11,28,51,84,88,42,112,165,158,162,164,166,167,83,0,0,39,38,45,52,61,150,161,155,154,122,77,42,27,33,59,70,76,35,90,168,159,162,166,167,167,71,0,9,41,39,48,47,83,183,166,156,153,140,106,58,37,37,48,62,62,29,84,169,157,164,167,168,168,56,0,17,40,40,47,49,78,188,166,156,164,142,113,59,34,27,36,53,48,22,119,168,159,164,167,168,171,39,0,22,40,41,48,54,64,145,99,164,171,133,101,54,36,29,42,56,39,50,158,161,165,165,167,169,170,21,0,28,41,42,49,56,62,100,74,189,154,120,99,63,44,34,42,51,30,102,167,159,165,166,167,169,170,3,0,34,40,42,49,59,57,137,161,185,157,116,93,70,49,41,40,43,38,146,162,162,164,166,167,170,172,0,0,36,39,42,50,56,67,177,184,182,144,119,78,70,53,45,39,28,77,165,160,164,166,167,168,171,173,0,0,38,39,41,51,51,86,197,181,170,131,114,68,61,56,48,34,29,138,163,161,165,167,168,170,173,175,0,0,40,38,42,51,52,84,194,184,156,117,99,64,55,53,50,24,72,164,158,162,164,167,168,170,173,174,0,0,42,39,44,52,52,87,200,173,150,108,91,64,53,48,43,16,115,164,159,162,163,166,169,171,173,174,0,4,43,39,44,53,53,93,185,155,154,120,103,73,49,41,29,26,138,159,160,162,164,167,171,173,174,175,0,9,42,40,45,53,57,80,148,151,162,146,117,79,47,34,16,43,154,157,160,164,166,168,171,173,174,176
13,134,135,138,141,143,146,149,150,153,153,154,156,157,157,158,158,157,160,161,159,159,159,158,159,160,160,160,160,135,137,141,142,144,148,150,152,154,155,156,158,158,158,159,158,158,156,154,162,160,161,160,161,162,162,162,162,137,138,142,144,146,149,151,153,155,155,157,160,159,158,161,160,163,143,100,110,167,162,162,161,161,162,163,163,138,141,143,146,148,150,152,153,156,156,158,160,159,160,160,168,177,144,96,66,168,158,166,166,162,163,164,165,140,142,144,147,149,152,155,156,157,157,160,158,164,142,116,134,173,139,94,62,114,102,103,145,170,166,166,165,140,142,144,148,151,153,155,157,159,160,161,167,189,140,103,93,165,132,97,43,100,116,68,75,172,166,167,166,141,144,146,149,152,155,156,158,161,161,159,158,175,163,120,99,157,124,79,63,151,129,74,54,153,171,166,167,142,144,148,150,153,156,158,160,159,161,162,115,88,132,133,88,153,146,67,101,163,118,76,55,156,173,168,170,143,146,149,151,154,157,159,160,161,174,160,121,86,81,131,77,168,159,79,118,156,112,71,59,166,171,171,171,144,147,150,153,156,158,159,160,172,161,162,137,101,69,118,88,97,114,54,116,178,128,62,68,175,172,173,172,145,148,152,154,156,159,160,164,170,131,156,139,100,60,96,109,32,12,49,127,158,106,41,88,181,170,173,174,145,149,152,155,156,159,160,169,170,135,129,134,100,54,79,105,57,0,63,140,122,78,46,130,184,171,173,174,146,149,151,155,157,160,163,174,165,133,114,143,93,60,67,94,62,43,108,139,137,128,96,92,180,175,174,174,147,149,152,155,158,160,162,179,167,139,106,134,91,60,60,111,77,100,173,141,122,109,93,59,147,183,174,175,148,150,152,155,159,161,162,179,163,137,103,119,100,72,63,138,104,141,166,150,124,94,78,60,152,184,174,176,148,150,153,156,160,162,165,179,165,146,126,102,99,89,45,129,148,173,161,140,117,86,70,70,173,179,177,177,149,152,155,157,160,161,167,180,167,149,135,114,87,73,85,166,172,177,157,132,108,82,63,85,183,178,180,179,149,152,154,156,159,161,166,177,166,150,138,134,107,99,113,168,173,171,144,118,96,76,58,126,186,178,180,179,148,151,154,157,159,162,163,171,166,156,144,139,115,100,99,160,176,159,128,104,87,68,77,175,179,178,179,179,148,151,154,157,160,162,164,165,164,158,144,141,124,103,105,155,172,145,119,95,80,56,116,186,176,178,178,178,149,152,155,158,160,163,164,165,167,161,145,139,126,105,109,143,155,129,109,88,74,58,152,181,178,179,179,179,151,153,155,159,160,161,164,166,168,160,143,136,121,99,110,138,127,114,96,80,65,89,180,176,179,179,179,180,151,153,155,158,161,162,164,166,169,150,135,126,104,92,116,126,108,105,85,74,59,146,183,177,180,180,180,180,150,152,155,157,161,164,161,165,169,142,134,117,101,103,121,121,106,97,83,62,106,182,177,179,180,180,181,181,154,157,159,161,165,169,160,174,170,145,140,117,106,117,130,110,101,81,71,70,163,181,177,178,179,179,179,179,119,124,130,136,140,140,148,177,172,151,149,118,113,127,119,99,89,73,54,122,187,181,182,184,186,186,186,185,74,76,78,78,80,72,117,174,156,150,149,121,115,124,113,89,75,65,59,96,115,116,121,121,124,131,133,142,84,85,84,83,85,72,126,172,146,137,134,115,109,122,111,77,70,60,64,79,79,80,79,87,104,116,117,129
10,95,103,114,119,123,128,130,132,135,139,140,142,143,144,146,148,150,152,152,153,154,155,157,157,158,159,160,161,96,104,115,120,124,128,131,133,137,139,141,142,144,146,148,149,146,147,155,154,156,157,158,158,160,161,162,163,97,107,118,122,125,130,132,134,138,141,142,143,145,148,148,157,146,114,155,156,158,158,160,161,162,164,164,165,100,108,118,122,126,130,134,136,138,141,143,145,147,150,148,165,155,102,145,160,159,160,161,163,164,164,165,166,100,110,119,124,127,130,134,137,139,142,143,146,148,149,148,166,159,107,135,162,159,163,163,164,165,165,166,167,101,111,120,123,127,132,136,138,140,142,144,144,147,153,150,160,164,120,125,166,159,162,163,165,166,166,166,167,102,112,121,123,129,133,136,138,140,142,144,148,153,129,148,163,174,135,112,165,162,163,164,166,167,166,167,168,104,115,122,126,130,134,136,139,141,142,144,150,162,107,114,168,171,146,105,159,164,164,165,166,167,169,169,170,105,116,123,126,130,135,136,141,146,147,148,161,149,113,89,163,163,143,103,153,168,166,166,166,168,169,168,169,106,117,123,127,130,136,149,124,115,113,121,154,160,132,90,142,161,132,99,144,170,166,167,168,169,170,170,171,107,118,123,127,130,139,140,106,83,79,76,96,162,147,92,115,151,120,99,134,172,166,169,170,170,172,172,172,108,120,123,128,133,138,133,113,89,77,98,84,136,159,105,109,132,104,99,122,174,166,169,170,171,172,173,172,109,119,124,129,133,137,142,142,140,123,99,77,127,166,119,98,105,92,99,111,174,167,171,171,172,173,173,172,110,119,123,129,133,138,141,138,168,162,98,71,149,167,129,84,78,91,101,104,171,169,171,172,173,173,172,173,110,120,124,128,133,136,139,139,169,156,105,62,163,170,135,93,73,93,103,92,161,173,171,172,174,173,173,173,111,121,124,129,135,134,157,156,167,164,104,54,178,170,134,98,74,89,101,84,149,177,172,173,174,175,175,175,113,121,125,129,135,132,170,168,160,159,94,101,184,159,131,93,74,82,96,75,140,178,170,173,173,175,175,176,114,121,125,131,134,135,152,169,155,151,117,180,171,153,136,96,78,82,85,77,159,174,172,173,175,175,175,176,115,121,125,131,135,139,143,150,132,151,164,194,169,148,132,101,81,83,75,100,178,170,172,173,175,176,176,177,116,121,126,131,135,140,142,153,131,167,191,188,167,144,125,102,83,80,68,135,178,170,173,173,175,177,177,177,115,121,126,130,135,140,141,169,156,143,188,182,164,142,124,104,84,74,75,165,173,173,173,174,176,177,177,176,116,121,126,131,134,139,141,179,169,136,183,180,165,140,122,105,87,67,104,179,169,172,173,175,176,176,177,177,117,122,126,131,134,138,145,186,175,159,188,175,164,143,123,107,86,65,143,176,170,173,175,176,176,176,177,178,116,122,126,131,135,137,148,192,179,168,181,177,171,146,123,108,78,81,171,171,172,174,175,176,177,177,177,178,117,122,127,133,136,138,147,190,174,173,177,174,178,151,121,107,72,111,179,169,173,173,174,176,177,178,178,178,118,121,126,131,136,138,147,184,167,169,176,175,178,154,121,102,69,144,175,170,173,174,175,175,177,178,178,178,117,122,127,132,136,138,146,167,166,178,178,173,174,149,119,92,90,172,170,171,173,175,175,176,177,177,178,179,116,121,127,132,135,139,142,172,179,184,177,168,169,144,116,81,118,177,169,171,173,174,176,177,177,177,178,179
0,198,196,196,197,197,197,196,195,196,197,197,197,196,196,195,195,194,193,193,192,190,189,189,189,187,185,185,185,200,199,199,199,199,200,199,199,199,199,199,198,198,197,197,196,195,194,194,193,193,191,191,191,189,188,187,186,202,202,201,202,202,202,201,202,201,200,200,200,200,199,199,198,197,195,196,194,194,193,193,192,190,188,187,187,202,202,202,202,202,202,202,202,202,201,202,202,201,200,201,200,199,198,198,196,195,195,194,193,193,191,190,189,203,203,203,203,203,202,202,202,203,203,203,203,203,202,201,202,201,201,200,198,197,194,193,195,194,193,192,192,205,204,205,204,203,203,203,203,204,204,204,204,203,203,194,182,192,199,183,178,192,177,169,197,195,194,193,193,205,205,205,205,204,204,204,204,205,204,204,205,203,196,165,131,127,159,144,122,137,169,127,188,197,195,195,192,206,206,206,206,206,206,207,206,206,208,204,185,163,166,157,128,94,100,138,116,93,161,123,155,200,196,196,194,207,207,208,207,207,207,206,203,188,184,191,164,118,100,148,136,113,102,142,120,89,146,140,106,175,198,196,196,208,208,209,208,208,208,204,192,155,121,169,157,120,86,141,142,125,102,148,123,82,121,150,108,109,175,198,196,209,209,209,209,209,207,194,185,157,120,156,162,131,95,137,146,119,99,149,124,74,90,156,130,93,124,201,197,209,210,210,210,210,204,183,177,167,136,143,168,131,98,120,146,115,84,125,108,66,93,162,139,87,129,203,199,212,211,211,211,210,199,172,161,165,142,128,161,127,96,102,140,107,55,73,71,58,131,169,133,81,168,202,199,213,212,210,211,209,195,181,147,150,131,101,143,129,99,71,91,73,36,57,62,99,164,165,114,100,196,202,201,214,213,212,212,207,189,167,124,123,94,62,110,117,87,41,42,58,94,128,121,147,169,146,90,139,205,202,202,213,214,214,214,204,188,174,139,108,74,50,66,81,57,42,72,130,165,167,156,141,152,122,73,175,206,203,203,214,215,215,215,202,191,185,160,124,101,86,89,100,105,124,154,175,174,166,157,125,117,90,85,198,206,204,203,215,215,215,215,201,191,192,168,140,118,108,119,146,168,179,186,187,175,159,145,107,83,66,145,209,207,205,203,215,215,215,215,201,185,192,172,147,120,119,131,172,187,191,192,185,165,147,129,90,57,116,202,208,207,206,205,214,215,214,215,205,178,185,174,154,132,128,146,185,192,191,190,174,151,130,108,66,96,196,210,208,208,208,206,214,215,214,214,211,180,182,179,162,148,139,158,185,192,190,178,155,137,115,82,75,181,210,209,207,207,207,205,215,215,215,215,216,188,175,181,172,158,141,161,182,184,179,162,137,119,93,67,155,209,207,208,207,207,206,204,215,216,216,215,215,200,172,178,171,155,140,154,174,169,159,140,116,94,64,126,207,210,209,208,207,206,205,205,215,215,216,216,216,211,177,174,163,148,138,147,164,155,140,119,91,62,103,199,212,211,210,208,208,208,207,206,215,215,215,216,216,210,182,174,158,144,139,143,157,147,122,100,64,97,194,213,212,212,211,209,209,208,208,207,215,215,215,215,216,202,182,173,165,160,154,147,151,140,109,76,73,188,214,213,213,213,211,210,209,209,207,206,215,215,215,215,215,186,180,180,175,170,159,149,145,126,91,59,130,215,214,214,213,212,213,211,210,210,207,205,183,186,190,192,193,173,182,188,180,170,160,149,133,107,80,61,169,214,214,215,214,213,212,211,210,209,207,205
20,172,176,180,183,186,188,190,191,192,194,195,193,192,193,193,189,192,177,187,189,187,186,185,183,181,181,180,179,174,178,183,185,188,190,193,194,195,196,197,197,195,195,193,196,208,137,151,193,189,186,186,184,184,184,182,180,175,179,183,186,189,192,194,195,196,197,198,197,196,196,194,204,209,132,115,167,147,190,187,186,186,185,184,182,178,182,184,188,191,194,195,198,199,199,200,198,198,198,194,208,202,125,120,179,104,176,194,188,188,186,185,184,179,183,187,190,193,195,197,201,202,200,202,202,201,200,195,220,209,128,125,181,108,165,197,190,191,188,187,186,180,185,188,191,194,197,199,202,202,201,203,203,203,203,198,230,202,127,135,181,116,166,200,192,192,190,189,186,182,187,189,193,195,198,201,202,202,204,204,204,204,202,206,221,176,114,165,195,124,159,203,193,193,192,190,189,184,189,192,194,197,200,201,204,204,205,206,205,209,207,217,218,167,97,172,185,117,158,205,194,195,194,192,189,186,190,194,196,199,201,203,206,206,207,208,207,187,171,227,219,160,97,182,178,107,165,205,196,196,196,194,191,187,191,194,197,201,203,205,206,209,210,207,218,182,111,203,196,114,123,207,173,109,175,207,199,198,197,195,193,189,193,196,199,202,204,206,207,211,211,217,231,194,146,151,115,73,144,192,157,103,188,206,199,198,198,196,195,190,194,196,201,203,206,209,210,211,209,181,201,215,182,129,103,86,139,153,123,104,204,203,202,202,201,199,197,192,195,199,203,205,208,210,210,225,220,152,153,221,170,158,151,143,149,116,97,134,216,203,204,203,202,200,198,192,196,201,204,207,210,210,218,241,230,176,158,191,182,177,163,173,159,96,77,171,215,205,205,204,203,201,199,195,198,203,205,209,212,209,231,227,234,176,149,208,192,159,157,159,139,110,71,180,216,207,206,205,203,203,201,196,199,204,207,209,212,212,246,220,207,191,126,175,164,87,92,159,150,131,78,174,220,207,208,206,204,205,202,197,201,205,209,212,211,220,240,200,191,192,105,76,80,57,56,155,188,145,96,117,220,209,209,208,207,204,203,198,202,205,209,213,214,219,250,234,213,177,147,101,58,100,176,188,197,162,115,76,184,218,209,209,208,206,204,198,203,207,210,213,214,222,252,241,210,169,187,120,89,198,231,210,179,157,118,84,171,221,209,210,209,208,204,199,204,209,211,214,216,223,252,244,201,166,152,104,158,235,209,185,172,125,116,86,196,218,211,212,210,208,205,201,205,210,212,215,217,223,250,238,201,196,141,159,241,221,184,158,171,121,92,102,221,213,213,213,211,209,207,202,206,211,213,218,219,222,246,236,210,203,148,200,239,206,184,165,161,139,70,143,230,215,215,215,212,210,208,202,207,211,215,217,219,223,237,232,213,203,154,190,216,193,179,155,141,120,72,199,223,216,216,215,213,211,208,203,208,212,215,216,222,225,236,230,215,195,157,155,181,170,153,131,125,77,133,231,217,219,218,216,214,212,210,202,206,211,213,225,200,96,183,226,210,162,128,131,144,162,141,117,83,82,217,224,220,219,218,217,215,212,210,201,204,208,217,211,104,62,77,163,178,140,133,141,144,167,133,99,68,183,229,217,219,218,217,216,213,211,209,202,206,212,216,114,66,80,68,77,138,157,150,144,145,154,118,69,149,236,220,221,219,218,217,216,213,212,209,202,205,220,137,73,83,67,72,66,73,118,129,133,131,119,90,92,222,226,222,221,220,219,218,217,215,213,211
4,182,183,185,186,187,188,187,187,187,188,189,188,188,190,190,189,189,190,190,189,189,189,188,188,187,187,187,186,185,186,187,187,189,190,189,189,190,190,191,191,191,184,178,186,191,179,173,190,193,190,191,191,189,187,188,188,187,188,188,189,191,192,191,191,192,192,188,190,197,186,160,147,164,169,148,145,182,195,193,193,192,190,190,190,189,189,189,191,192,193,194,194,193,189,176,160,157,193,198,156,107,122,162,125,95,187,195,193,194,193,193,192,191,190,191,193,193,194,195,195,198,207,202,168,121,114,197,155,110,61,115,127,71,159,201,195,195,195,195,195,193,194,195,195,195,192,191,164,145,180,183,188,130,75,154,164,109,61,76,122,79,145,204,198,196,196,196,195,196,196,196,196,196,200,200,158,95,91,130,194,161,83,91,173,151,80,56,146,99,141,206,200,199,198,198,196,197,196,196,197,199,183,171,168,113,65,68,181,195,110,63,178,176,105,57,140,120,152,206,201,200,199,199,199,196,197,198,198,197,186,133,156,154,100,43,140,193,117,68,143,175,115,59,97,105,160,208,202,202,201,202,201,197,199,200,200,200,190,126,117,159,119,69,93,118,99,79,90,122,95,63,78,78,95,204,204,204,203,201,201,200,200,200,200,203,198,177,153,132,100,72,87,89,94,101,102,97,83,76,111,112,88,157,211,203,203,203,202,200,201,202,203,205,205,184,156,126,100,88,96,96,98,119,112,113,86,115,157,151,131,107,198,207,206,205,204,201,202,203,204,206,207,177,147,126,106,107,108,114,132,134,151,165,170,133,159,163,140,89,141,213,206,206,204,202,204,204,204,207,204,169,134,117,101,110,124,136,160,176,184,201,200,188,170,148,113,80,85,204,208,207,207,203,205,206,205,206,209,184,152,125,113,122,131,142,194,188,191,198,194,184,166,138,103,77,73,192,211,207,207,204,207,207,207,206,212,198,163,132,116,119,133,158,202,188,195,195,193,179,161,138,102,77,91,208,210,208,208,205,207,208,209,207,208,205,177,148,122,120,140,159,203,196,204,206,194,179,161,133,98,69,143,217,211,211,210,206,207,208,208,209,208,211,192,159,129,131,153,153,199,206,211,212,202,186,155,120,94,72,193,217,214,212,210,207,208,209,209,209,207,210,203,169,139,142,165,157,195,209,216,218,217,186,145,110,82,103,217,215,214,212,211,207,208,209,210,211,207,204,209,181,143,149,164,166,197,208,220,223,212,173,135,109,68,155,221,215,214,213,214,208,210,211,211,212,205,195,201,189,153,151,161,168,202,208,218,215,187,152,125,100,74,200,218,215,215,214,213,208,210,212,212,213,206,189,201,197,170,153,156,167,196,207,202,192,164,137,113,81,113,222,216,215,215,214,214,208,210,212,212,214,214,191,195,197,183,165,161,169,185,199,189,168,148,121,95,77,186,222,217,217,217,216,216,207,208,209,210,211,215,203,183,188,185,173,167,165,165,172,166,146,123,95,71,137,222,217,216,218,217,216,215,208,209,209,210,211,214,210,182,187,182,172,168,156,149,156,154,132,102,76,78,207,218,217,216,217,216,215,214,209,210,211,211,211,214,211,185,186,173,164,162,150,137,142,141,114,84,68,119,223,216,217,217,217,216,216,215,209,211,212,212,213,213,212,189,182,154,146,154,144,140,139,127,100,82,63,158,222,218,219,217,216,217,216,215,210,211,213,214,214,214,214,190,190,162,160,169,161,152,139,122,103,86,64,182,219,218,218,218,217,218,217,215
20,140,142,144,146,149,152,154,156,157,158,159,161,163,162,164,166,166,166,166,167,168,168,168,167,168,167,168,168,142,144,146,148,151,153,154,157,158,159,159,163,163,164,167,152,158,170,169,168,169,169,170,170,170,170,170,170,142,145,147,150,153,154,156,159,159,159,161,164,166,164,181,133,122,147,149,174,172,173,173,172,171,172,172,171,144,147,150,150,153,155,159,159,160,162,165,167,167,166,190,138,146,151,106,172,174,173,172,172,171,172,173,171,144,147,149,152,154,157,159,160,161,163,166,167,166,168,185,137,160,166,102,165,176,173,174,173,174,174,174,173,146,148,151,153,156,158,160,161,163,165,166,167,165,173,198,149,163,170,109,164,179,176,176,176,176,175,175,175,147,150,151,153,156,158,161,163,165,165,167,170,165,182,197,147,179,173,115,160,181,176,177,177,176,177,177,176,147,149,152,155,157,159,161,164,166,167,159,162,171,184,175,142,182,168,110,154,184,177,178,177,176,177,177,175,148,150,153,155,158,161,163,164,166,171,158,113,148,196,165,135,187,157,105,157,185,179,180,178,178,179,177,176,148,150,154,157,159,162,165,164,165,179,160,127,100,165,155,134,187,154,107,168,183,180,181,179,179,178,177,177,150,151,154,158,160,162,163,171,151,153,168,157,146,113,110,120,163,147,108,172,183,181,182,180,180,180,179,178,150,152,155,159,160,159,172,193,148,118,173,180,171,133,87,86,134,135,104,174,183,181,182,181,181,180,180,181,151,153,155,158,161,161,176,163,171,144,114,145,179,160,113,88,114,111,100,179,183,182,183,183,182,181,181,181,151,153,157,160,162,160,182,155,130,124,70,73,169,185,146,94,95,102,95,177,184,183,184,184,183,183,182,181,151,153,157,160,162,162,179,151,124,120,91,88,138,199,167,116,87,96,94,178,185,184,184,183,182,182,182,182,152,153,156,161,162,162,185,180,153,128,103,113,125,199,184,141,96,84,88,179,186,183,184,183,182,183,182,181,152,154,157,162,163,163,195,172,136,120,112,127,140,199,185,153,109,77,82,177,187,184,185,184,183,182,183,182,153,156,157,161,165,165,194,167,139,130,132,130,187,212,171,150,114,76,83,181,188,186,186,185,183,183,182,183,154,155,159,163,164,167,200,174,149,140,140,143,213,208,173,144,119,79,88,185,186,186,186,185,183,185,184,183,155,157,159,164,166,167,201,180,159,135,151,169,212,195,178,145,119,80,97,191,185,186,186,185,184,184,185,184,154,157,159,163,166,167,203,187,163,148,149,182,208,182,172,139,117,77,111,194,184,186,186,185,185,186,185,184,154,156,160,164,168,165,200,189,167,171,149,186,204,181,169,142,111,76,122,195,184,186,186,186,185,186,185,184,154,157,161,164,167,165,189,196,179,185,165,173,194,173,163,143,109,74,121,196,185,187,187,187,186,187,186,185,154,158,161,165,166,167,176,197,187,188,175,166,182,170,162,142,108,76,126,195,185,188,187,187,187,187,186,186,153,157,161,165,166,168,169,192,191,178,164,167,173,163,161,155,109,77,143,195,185,187,187,187,187,187,187,186,153,157,160,165,166,169,168,191,182,167,154,157,169,161,160,155,111,82,165,192,187,189,188,187,187,187,187,186,153,157,162,164,166,169,169,190,174,164,155,153,169,163,156,152,102,95,187,188,188,189,188,188,188,188,187,187,153,158,162,164,167,169,170,194,189,179,162,158,174,157,147,145,88,119,197,187,189,189,189,188,188,188,188,188
20,184,185,186,187,187,187,188,187,188,188,188,187,187,187,187,185,185,183,182,181,180,178,176,176,174,173,171,170,187,187,188,190,190,190,190,190,191,191,191,190,189,188,186,187,187,185,185,184,181,181,178,177,176,174,173,172,191,192,193,193,193,194,193,192,193,194,194,194,192,199,193,150,191,192,186,187,185,184,182,181,179,177,175,175,194,195,197,196,196,196,197,197,197,196,197,197,195,201,204,137,155,179,193,188,187,186,186,184,183,180,179,177,197,199,199,200,200,200,201,200,199,200,200,200,199,203,204,134,118,137,182,195,190,189,187,187,184,183,181,179,201,201,202,203,203,204,204,203,203,203,204,204,201,209,201,118,148,155,154,203,193,193,191,191,188,187,185,183,204,204,205,206,207,207,206,206,207,206,207,208,204,214,201,120,168,173,134,204,197,196,194,193,191,189,188,187,208,208,208,209,210,210,210,210,210,210,211,211,206,222,205,128,170,183,131,201,201,199,198,197,194,192,190,188,211,211,211,211,212,212,213,212,213,213,214,212,209,229,191,121,179,200,135,194,207,202,201,200,198,195,193,192,214,213,213,214,214,215,215,214,215,216,216,214,214,238,179,125,197,198,131,191,211,204,203,202,201,199,196,195,216,216,216,218,218,218,218,218,217,218,218,203,190,216,188,137,204,198,127,186,214,206,206,205,203,201,199,198,219,220,219,220,220,220,221,220,220,220,221,228,214,187,170,136,180,204,141,184,216,208,208,207,205,203,202,200,220,221,221,222,223,223,224,222,222,222,222,209,225,206,182,157,163,200,146,178,220,210,210,209,208,205,204,202,222,224,224,224,225,225,225,225,225,224,227,198,161,193,212,157,121,157,135,170,223,212,213,211,210,208,206,204,225,225,226,225,226,225,226,227,226,226,229,215,112,164,211,166,119,113,113,160,226,213,214,213,211,209,207,205,226,226,227,226,227,227,227,227,227,227,230,209,128,141,199,193,147,135,105,144,228,216,216,215,213,212,209,207,227,228,228,228,227,228,229,228,229,226,222,203,170,133,126,179,175,157,112,124,228,218,218,216,215,213,211,208,228,229,229,229,230,230,230,231,229,226,220,210,194,160,119,147,172,159,120,111,222,222,220,219,216,214,212,210,230,231,231,231,231,231,231,232,226,218,179,173,202,181,139,128,157,187,152,105,203,230,220,220,219,217,214,211,232,232,232,232,232,232,234,233,223,219,192,127,145,185,127,110,135,189,180,118,148,234,221,221,220,218,216,214,233,233,233,234,234,235,235,235,225,213,185,146,109,150,127,107,154,207,201,144,109,220,228,223,220,220,218,216,234,235,235,236,236,236,235,237,225,216,209,170,119,139,145,127,207,223,194,140,112,221,228,225,223,221,219,217,236,237,237,237,237,237,237,239,224,219,221,169,139,144,188,209,232,202,180,114,131,234,225,226,225,221,218,217,238,238,238,239,239,238,238,241,226,216,215,183,150,141,218,241,220,184,165,104,164,239,224,226,225,222,220,219,238,238,239,239,239,239,239,242,228,206,202,186,152,140,210,221,201,170,147,104,196,237,226,226,226,224,220,219,237,237,238,238,238,239,239,242,233,204,201,185,161,148,204,217,191,158,126,109,225,231,227,226,225,223,224,228,238,238,239,239,239,240,240,240,241,212,198,188,174,149,195,211,177,142,100,151,241,228,228,226,225,228,217,173,239,240,240,240,240,240,241,242,243,220,204,189,172,145,169,184,148,119,93,209,237,229,229,226,219,180,129,87
22,181,182,183,182,183,184,183,183,182,183,183,183,182,181,180,178,179,179,177,176,174,174,172,171,169,167,165,163,185,185,185,185,186,187,187,185,185,186,191,187,185,184,185,186,181,181,179,179,178,177,175,173,172,170,168,166,188,188,189,189,189,189,189,188,188,190,162,183,190,187,177,168,186,183,182,182,180,179,178,175,176,175,170,169,190,191,192,192,192,192,192,192,191,189,139,151,197,190,187,124,176,189,185,185,184,182,179,182,152,162,176,171,192,193,194,194,194,194,194,194,193,188,158,124,197,190,195,124,156,195,186,187,186,184,182,189,131,125,184,172,195,195,197,198,196,196,198,196,195,194,174,110,186,195,195,124,137,200,188,189,187,184,188,185,115,134,186,176,197,198,200,200,199,199,200,199,200,194,177,105,169,203,198,130,128,200,191,191,190,187,193,169,105,154,187,178,200,201,200,201,201,201,201,201,202,199,187,128,145,209,202,141,119,200,193,195,191,190,198,150,104,178,183,180,203,202,202,203,203,204,204,202,203,202,197,150,123,208,203,133,109,198,196,196,192,197,192,135,120,193,183,183,205,204,204,205,206,205,205,205,205,205,201,160,101,199,206,129,107,197,199,197,194,195,173,108,151,196,185,185,206,206,206,206,207,206,205,206,207,207,201,177,104,167,213,141,111,194,203,198,196,187,148,96,186,191,187,186,207,207,207,207,207,207,207,207,207,209,195,183,144,120,206,147,108,192,207,200,202,192,126,127,203,190,190,188,209,209,208,208,208,208,209,209,208,210,204,188,168,134,177,149,123,169,209,204,198,176,108,171,202,193,193,192,211,211,211,211,210,211,210,210,210,211,212,192,190,200,194,177,183,126,130,191,191,143,110,200,197,194,193,191,212,212,212,212,212,212,211,212,212,213,214,202,193,178,168,171,181,132,95,105,138,104,145,211,196,196,195,192,213,213,213,213,212,213,214,214,214,213,214,210,202,154,83,116,173,149,122,112,113,78,179,208,200,199,196,194,214,214,214,215,213,214,215,215,215,215,214,211,193,136,94,72,130,155,137,132,129,73,185,209,202,201,199,197,215,215,216,216,216,215,215,216,216,216,215,208,191,163,124,83,79,87,115,133,110,68,149,217,201,203,199,198,217,217,218,218,218,219,218,218,219,218,217,203,194,170,118,86,92,93,118,164,136,90,96,212,203,202,200,200,218,219,219,219,219,220,219,220,220,221,218,202,194,159,119,96,98,125,184,193,168,125,68,160,214,202,202,200,218,218,218,219,219,219,220,220,220,220,218,204,196,173,135,102,103,156,205,211,189,158,77,125,218,201,202,200,218,218,219,219,218,219,220,220,219,219,219,202,194,179,142,101,112,175,210,206,185,145,72,140,216,200,201,200,219,219,220,220,220,220,221,221,221,221,220,198,188,192,147,108,122,192,212,190,161,125,63,172,211,200,201,198,220,220,221,221,221,221,222,222,222,222,221,194,184,187,149,110,120,200,200,173,139,112,77,198,208,202,203,207,220,220,220,220,220,220,221,221,221,221,222,193,179,177,150,108,110,186,185,169,131,94,93,208,207,212,203,151,225,227,228,228,228,229,230,230,229,228,231,207,178,178,149,115,112,180,182,158,116,70,126,227,202,160,104,59,155,159,163,169,172,176,180,181,185,190,195,193,178,172,147,130,109,169,175,139,99,64,154,161,97,62,60,58,112,112,112,114,113,111,112,111,110,113,111,123,184,172,146,132,103,137,143,105,77,63,78,65,46,56,66,51
21,215,218,220,221,221,221,221,224,223,223,225,226,221,214,225,223,223,224,222,221,219,219,218,216,219,119,31,27,220,221,222,223,225,225,225,226,227,227,226,229,245,165,212,230,225,226,226,225,227,222,220,224,194,101,47,34,223,225,226,228,228,229,229,228,230,229,229,232,251,153,192,239,228,229,231,217,197,229,224,229,191,70,50,53,226,228,229,229,231,233,232,232,233,233,233,236,253,153,173,245,233,232,240,221,137,228,227,231,201,91,62,76,229,229,232,233,234,235,235,235,236,236,235,238,255,164,161,247,235,233,248,216,130,230,231,229,233,118,60,74,231,232,234,236,236,237,238,238,237,238,238,238,255,185,160,247,239,236,253,206,136,231,235,231,238,162,64,63,233,235,235,239,239,240,241,240,240,241,242,240,255,200,158,244,244,240,255,203,144,234,237,233,239,214,74,48,235,237,239,241,241,242,242,243,243,243,243,240,255,214,160,233,249,243,255,210,151,240,239,238,236,242,108,50,237,240,241,242,243,245,244,245,244,243,247,242,255,236,171,215,254,247,255,208,152,243,242,241,237,245,180,174,239,241,242,245,244,244,245,247,246,246,248,244,255,253,175,208,255,254,255,204,149,247,243,243,240,243,181,231,241,243,244,246,247,247,249,249,249,249,251,236,246,255,168,207,255,255,255,190,159,255,245,245,243,241,206,240,241,243,244,247,248,249,250,250,251,249,255,244,202,221,188,183,255,255,248,176,174,255,246,247,246,245,234,184,242,244,247,248,249,250,250,251,252,250,255,255,237,177,221,128,215,255,235,163,194,255,248,249,248,248,241,174,243,246,247,249,250,250,251,252,251,255,254,255,255,218,229,141,127,202,202,147,218,255,251,250,249,250,246,221,245,247,248,250,251,252,252,253,252,255,225,215,255,226,217,199,149,132,155,122,227,255,251,251,250,250,251,244,246,247,249,251,251,252,253,255,255,251,255,219,248,234,180,229,209,142,119,112,220,255,252,253,252,250,250,248,245,246,248,249,251,251,254,254,255,255,255,239,161,217,164,197,221,163,111,103,221,255,254,254,252,252,250,249,245,247,247,247,250,251,252,252,255,255,255,191,122,145,207,164,207,196,135,96,226,255,253,253,253,252,250,249,245,247,248,249,250,252,252,255,255,241,215,203,151,92,166,122,183,239,163,106,240,255,253,253,252,251,250,249,246,249,250,251,251,253,254,255,255,237,202,216,162,111,84,155,213,255,203,123,200,255,254,255,252,251,251,249,245,248,249,249,249,252,253,254,255,250,222,210,199,135,117,255,242,249,225,158,142,255,255,255,253,252,251,251,253,255,255,255,255,255,255,255,255,255,231,164,201,156,184,255,255,238,209,166,160,255,255,255,253,251,251,252,184,188,194,198,202,208,212,216,255,255,227,159,196,178,245,255,247,227,189,132,177,255,255,255,255,255,251,248,123,124,126,126,125,125,126,125,255,255,220,185,208,194,255,255,243,217,182,128,141,167,161,161,169,185,217,242,135,137,136,135,134,135,137,128,242,255,225,215,227,205,255,255,240,207,163,131,123,126,148,183,214,242,255,255,134,134,133,134,136,135,138,124,200,255,249,246,240,190,255,255,218,188,142,127,215,235,246,255,255,255,255,255,133,133,132,134,135,134,136,133,149,255,255,250,234,187,230,247,189,153,122,138,255,255,232,222,242,253,250,255,133,133,132,134,136,134,134,138,128,240,255,228,205,174,182,216,164,132,116,160,210,226,252,204,201,226,245,255
10,79,88,99,115,135,145,152,157,159,162,163,164,165,166,166,167,168,167,166,165,164,163,162,160,157,156,153,151,80,89,101,117,136,147,153,157,160,162,163,165,167,168,168,168,168,168,167,166,165,164,162,160,159,158,155,152,81,91,102,118,137,148,155,159,161,164,166,167,168,169,170,171,171,170,168,168,167,156,160,162,161,158,157,154,83,91,103,120,139,150,157,160,163,166,167,169,170,171,173,173,173,173,172,170,172,130,127,164,162,160,158,156,85,93,104,122,141,151,158,163,165,167,170,172,173,174,174,175,175,175,174,172,175,130,111,166,165,163,160,159,86,94,106,124,142,153,160,165,166,169,172,174,174,176,178,178,178,177,176,175,178,128,105,168,167,165,164,162,87,96,107,125,144,154,162,166,168,170,174,176,177,178,180,181,180,179,179,178,180,133,106,171,171,169,166,164,89,97,109,128,146,155,163,167,169,172,175,178,179,180,181,182,182,182,181,181,163,131,106,173,173,171,169,167,90,99,109,129,147,157,163,168,171,174,178,180,181,182,183,184,185,185,184,182,114,110,102,175,176,173,171,169,90,99,110,131,148,158,165,170,172,175,180,181,182,185,185,186,187,183,172,161,103,87,105,178,176,175,172,170,91,100,111,132,148,159,166,171,173,177,180,182,184,186,187,188,190,177,151,106,89,72,112,180,179,177,175,173,92,101,112,133,148,160,167,172,175,178,181,184,186,187,185,167,175,166,124,80,72,80,96,181,180,179,176,174,95,102,112,135,149,161,168,173,175,179,183,186,188,189,179,140,112,86,70,73,89,82,77,178,181,180,178,175,96,104,114,136,150,162,169,174,177,180,185,187,180,173,185,157,108,48,49,66,136,102,75,174,182,181,179,176,96,104,115,136,150,162,169,174,178,180,185,189,172,145,143,171,124,61,54,69,153,125,80,169,184,183,180,178,96,105,115,136,150,163,170,175,178,182,186,191,183,167,131,157,129,81,48,87,156,133,81,154,186,184,182,180,97,105,115,137,151,163,171,177,179,183,187,190,159,160,127,122,130,93,58,126,154,129,80,139,187,185,183,181,97,106,117,139,153,163,171,177,180,184,187,194,166,128,117,95,140,132,92,154,147,109,75,146,188,186,183,180,97,106,118,140,153,164,171,178,181,185,188,192,171,138,112,110,136,145,105,155,136,93,70,162,189,186,185,182,98,106,118,140,153,163,172,178,181,185,189,192,193,160,123,107,110,143,134,151,126,88,66,172,191,187,186,183,98,107,119,141,153,164,172,178,180,185,189,191,196,175,145,123,121,179,175,146,116,85,70,182,192,189,186,184,98,107,119,141,153,164,172,178,182,186,190,192,183,173,156,141,131,175,169,134,106,80,79,190,193,191,188,186,97,107,120,141,153,164,173,179,182,186,190,193,180,172,160,149,135,166,160,123,95,68,100,194,193,191,189,187,97,105,118,140,153,164,173,178,182,186,189,192,189,171,163,147,130,146,141,111,84,59,140,194,193,190,188,186,95,104,117,138,151,162,171,177,180,184,187,190,193,180,161,142,127,129,133,109,82,69,179,193,192,188,186,184,94,102,115,137,150,162,171,177,180,184,188,191,194,191,166,143,138,130,135,113,79,99,193,193,190,187,186,183,94,101,115,135,148,161,170,176,179,183,187,191,194,190,176,159,151,136,132,105,75,126,194,193,189,187,185,183,92,100,114,135,147,159,169,174,177,182,186,189,191,183,187,169,156,135,118,97,70,134,193,191,188,186,184,182
10,176,178,178,178,179,180,181,182,180,179,180,180,180,178,177,176,173,173,170,170,170,166,165,164,163,161,159,159,183,183,184,185,185,185,184,186,185,184,184,184,183,182,180,178,177,175,178,166,164,170,167,165,163,163,161,159,190,189,190,192,192,192,192,192,191,191,190,189,188,187,185,182,182,174,207,164,118,177,169,167,166,165,165,163,195,196,195,197,198,197,197,196,196,196,195,194,194,192,189,187,186,180,214,174,102,173,172,171,170,167,166,164,202,202,202,202,202,203,202,201,201,202,201,200,199,197,193,192,192,187,216,172,100,171,181,174,173,170,168,166,207,207,208,207,209,209,206,207,208,208,207,206,204,202,200,198,197,193,217,160,95,174,186,179,176,175,173,171,213,213,212,213,215,214,213,213,214,214,213,210,209,207,205,203,202,198,225,179,100,176,192,184,182,180,177,173,218,219,219,219,219,220,219,218,219,220,219,216,214,212,210,209,206,207,233,172,142,181,195,189,186,184,180,177,221,221,223,223,224,224,223,223,224,225,223,221,220,218,216,214,209,224,227,200,174,134,206,192,190,187,184,182,225,226,226,228,228,228,228,227,228,229,227,226,225,223,220,219,211,194,201,224,161,94,208,197,194,191,189,186,229,229,230,232,231,230,231,230,231,231,230,229,228,228,226,225,222,192,163,179,180,81,149,217,197,197,192,190,233,233,233,234,234,235,234,233,235,235,234,233,230,231,225,219,241,237,191,138,127,118,76,189,209,200,196,195,236,235,237,238,239,239,238,239,240,240,239,239,240,236,199,158,150,202,213,205,147,105,82,125,221,200,200,201,239,239,240,241,241,241,241,242,241,241,242,218,185,221,224,183,106,56,195,218,127,78,68,127,224,206,205,203,243,243,244,244,245,244,243,245,244,242,241,217,168,150,241,216,155,42,54,110,118,92,62,143,228,209,209,206,246,246,246,246,248,247,246,247,247,245,238,238,222,159,191,243,174,99,40,53,189,145,67,153,231,214,212,208,247,248,248,248,249,248,248,249,248,246,205,195,229,187,129,217,187,118,56,90,189,184,80,150,236,217,215,211,249,250,250,250,251,251,251,253,249,247,221,146,173,178,73,147,199,110,65,105,175,184,79,140,236,217,217,214,251,252,253,254,254,254,254,254,253,238,207,153,124,155,88,99,203,166,92,117,173,137,67,157,237,219,219,215,255,255,255,255,255,255,255,255,252,241,236,205,132,140,138,98,182,214,129,102,152,98,68,202,234,223,221,218,255,255,255,255,255,255,255,255,254,245,255,218,166,139,136,119,191,192,110,88,133,85,92,236,228,225,223,221,255,255,255,255,255,255,255,255,255,242,255,238,194,155,146,174,249,224,152,120,123,74,136,249,228,228,226,223,255,255,255,255,255,255,255,255,255,244,238,238,208,173,162,187,246,241,203,152,118,65,180,248,231,230,226,223,255,255,255,255,255,255,255,255,255,248,226,234,217,202,179,186,238,229,181,134,104,74,223,242,234,231,229,225,255,255,255,255,255,255,255,255,255,255,225,224,228,222,187,173,223,202,162,121,74,114,252,237,237,232,230,228,255,255,255,255,255,255,255,255,255,255,237,206,221,211,186,156,188,177,138,106,52,180,251,234,235,231,229,226,255,255,255,255,255,255,255,255,255,255,255,219,214,201,180,155,162,176,137,83,92,242,240,236,234,231,228,231,255,255,255,255,255,255,255,255,255,255,255,238,215,193,182,168,155,172,131,63,173,255,238,238,235,231,233,184
22,24,62,79,82,86,90,93,104,119,129,136,139,142,145,149,152,156,157,159,161,162,163,165,164,163,164,163,162,23,66,79,83,87,91,94,105,120,131,137,140,143,147,151,154,157,159,162,146,158,165,166,165,165,164,164,162,26,71,80,84,87,92,94,107,121,133,138,142,144,148,153,157,158,160,172,111,140,166,161,153,167,166,165,164,29,74,82,85,88,92,96,108,123,133,140,143,148,146,155,159,159,166,173,107,146,169,147,113,167,167,167,166,34,76,82,86,90,93,97,110,123,134,141,154,158,109,154,160,161,177,172,104,154,178,138,114,170,170,168,168,39,78,83,87,90,94,98,111,126,138,144,155,146,94,149,161,162,185,168,106,162,184,134,126,172,172,171,170,45,80,84,87,91,95,100,112,128,138,146,152,152,99,141,163,164,182,156,106,171,185,127,144,173,174,173,172,51,81,85,88,92,95,100,115,128,139,147,149,155,107,126,165,166,175,144,103,178,178,114,157,175,175,174,174,56,82,86,89,93,96,101,117,129,141,148,149,159,118,110,165,169,168,135,105,188,162,104,168,178,178,177,176,61,83,86,89,93,96,102,117,131,142,148,149,159,122,95,155,169,154,127,107,192,147,109,177,179,179,179,178,67,84,86,90,93,96,103,119,132,143,149,150,161,146,105,136,162,142,118,124,188,132,119,180,180,181,181,179,72,84,87,89,93,97,103,120,132,143,149,151,159,168,115,111,149,143,131,170,176,117,134,181,182,182,182,182,78,86,87,90,93,97,105,120,133,144,150,161,139,146,101,99,135,160,184,189,160,105,153,183,183,183,183,183,81,86,87,90,93,97,105,121,133,144,154,169,140,127,104,114,139,173,193,184,148,100,168,184,185,185,185,184,83,86,88,91,94,98,106,121,133,144,152,161,173,168,133,95,115,154,175,173,145,98,176,186,187,186,186,186,85,86,87,90,95,97,106,123,135,145,152,173,182,183,136,97,95,121,142,150,130,96,177,188,188,187,187,187,86,87,88,90,94,98,107,123,136,146,152,185,171,156,141,123,100,99,106,109,113,93,169,189,190,190,189,189,87,87,88,91,95,99,107,124,137,147,154,184,168,145,153,146,124,104,97,88,97,92,160,190,192,192,190,190,89,88,88,90,94,98,108,124,137,147,153,188,180,157,146,158,146,133,110,87,85,89,157,192,193,193,193,192,88,87,87,90,93,98,109,125,138,148,154,188,186,166,151,196,158,146,115,92,87,89,158,193,194,194,194,193,87,87,86,89,93,97,109,125,139,149,155,179,196,163,168,212,166,139,112,98,93,91,165,195,195,195,194,194,88,88,87,90,93,98,110,126,139,150,156,169,193,152,177,203,166,136,114,104,95,94,174,196,197,196,196,196,88,88,88,89,93,99,111,127,139,150,155,161,183,153,172,191,168,146,115,103,97,97,176,196,197,197,197,197,88,88,88,91,94,99,112,127,139,149,155,159,174,167,175,182,161,139,114,101,97,97,176,198,199,200,200,200,88,87,88,91,94,98,113,127,140,150,155,158,168,175,167,168,152,123,108,100,95,92,173,199,201,201,200,200,89,86,86,89,94,97,113,128,140,151,155,158,166,174,157,147,148,118,109,103,93,85,161,200,201,201,201,200,87,86,86,88,92,97,112,127,140,150,154,159,166,167,143,145,165,150,129,107,94,84,137,199,199,200,200,199,86,84,85,87,90,95,110,126,139,148,153,158,165,171,172,177,176,160,146,115,91,84,105,193,198,200,200,199
12,133,137,140,143,146,147,150,153,156,158,159,159,161,162,162,164,164,163,165,164,164,167,166,165,166,167,167,167,136,138,141,145,148,151,153,156,158,160,162,162,164,164,166,166,165,166,167,165,167,169,167,166,168,170,170,170,138,141,145,147,151,154,155,157,161,163,163,165,167,166,166,167,169,169,169,168,169,170,168,169,172,171,171,172,140,144,146,149,153,155,159,161,163,165,165,165,172,175,174,170,172,173,177,178,170,172,173,173,175,175,173,173,142,146,148,152,154,156,160,163,165,167,167,169,164,144,154,175,175,158,128,146,178,172,176,175,175,175,176,176,144,147,151,154,156,158,163,166,167,169,168,188,174,136,95,154,196,166,123,58,170,180,175,186,178,177,177,177,146,148,153,156,159,162,165,167,169,170,169,215,204,170,119,87,200,167,133,80,99,120,113,125,185,179,180,180,147,151,154,157,161,165,166,170,171,172,177,214,218,183,136,79,195,181,136,104,22,96,111,53,128,193,180,183,150,153,155,160,163,165,168,172,175,174,186,201,221,205,157,97,181,196,135,84,23,128,124,49,56,195,180,185,153,155,158,162,164,166,170,173,175,172,187,141,116,192,167,90,151,179,114,61,27,138,126,46,43,189,185,185,155,157,161,163,165,170,172,175,172,198,193,114,57,110,148,69,131,150,106,71,25,124,121,58,40,189,188,188,156,159,162,165,168,172,175,173,197,204,183,123,88,58,125,61,113,149,98,61,28,129,115,61,46,192,188,190,157,160,164,166,169,172,175,184,197,166,188,146,104,42,76,64,91,144,105,52,42,153,136,67,54,201,191,191,158,162,165,168,171,174,173,193,174,124,176,143,97,44,37,97,85,166,139,65,78,214,173,71,98,207,190,192,159,162,165,170,173,175,179,197,184,132,137,141,101,43,18,102,69,136,129,53,48,171,123,28,81,207,192,192,160,163,166,171,174,175,183,191,167,118,116,153,85,49,0,23,1,13,117,66,93,132,70,59,33,131,206,189,162,164,168,172,176,177,187,202,170,128,105,144,70,49,0,0,0,89,178,175,166,151,115,82,45,73,207,191,162,166,170,173,177,178,192,201,168,127,82,123,72,60,0,2,70,176,182,173,152,135,100,68,38,98,209,193,163,166,169,173,177,175,193,199,170,143,98,81,87,77,8,44,160,192,195,179,141,121,92,61,32,141,211,196,164,168,171,174,179,176,194,200,177,156,137,96,73,62,71,124,203,196,207,171,128,111,83,55,37,174,207,198,165,169,172,175,180,180,194,201,187,162,148,141,108,92,124,142,204,205,205,158,115,99,71,42,74,202,200,200,167,169,172,176,179,181,190,200,190,170,156,151,140,107,114,130,207,206,181,146,108,85,65,32,134,213,199,200,167,170,174,177,180,181,186,191,184,176,162,151,140,116,101,139,208,198,159,131,100,73,56,38,180,206,200,202,167,171,177,180,181,184,185,184,182,178,161,153,138,118,95,141,187,181,137,112,87,63,41,67,209,200,202,203,167,171,176,179,182,183,188,186,186,185,163,153,141,119,91,137,168,150,117,95,74,59,30,131,216,201,204,205,169,171,174,177,179,182,185,186,191,180,158,145,132,108,84,134,146,114,99,75,62,46,59,197,205,205,205,205,168,172,173,178,180,183,184,183,193,169,140,130,108,85,90,127,129,99,90,66,57,38,140,209,199,202,204,204,169,172,173,178,181,184,182,181,198,165,144,129,94,88,98,126,121,96,80,62,44,86,206,198,200,202,205,204
21,151,151,151,152,154,154,154,153,152,153,154,149,153,153,149,148,148,146,145,144,142,141,138,134,134,131,126,124,154,155,155,156,159,159,158,158,158,155,167,144,98,156,154,153,152,150,149,148,146,144,142,140,137,136,131,128,158,159,160,162,163,162,162,163,164,161,165,163,84,117,167,158,158,157,154,153,151,148,147,143,146,140,136,134,162,163,164,164,165,165,165,168,168,168,164,166,117,67,168,163,163,162,159,158,155,152,154,130,99,147,141,138,166,166,167,168,169,169,170,171,171,170,169,172,142,42,143,172,164,164,162,163,160,154,162,123,49,142,147,141,170,170,170,172,172,172,173,173,172,171,173,172,163,68,103,182,166,167,165,165,163,157,173,104,55,152,149,144,172,173,175,174,175,177,177,176,175,174,176,178,181,105,71,176,171,170,168,168,164,168,162,79,75,166,149,148,175,177,179,179,179,179,179,179,179,179,180,180,191,123,51,160,179,171,171,171,166,179,152,58,110,167,152,151,179,180,182,183,182,183,181,182,181,182,184,180,198,147,59,133,186,173,173,172,174,176,130,53,147,165,156,153,182,184,185,186,186,187,187,186,186,186,186,182,192,175,92,107,190,175,177,176,178,156,88,69,173,161,161,156,186,188,188,188,189,189,188,188,189,189,188,188,183,180,123,85,184,180,179,182,180,147,43,117,178,165,163,160,188,190,190,189,190,191,190,189,190,190,191,191,160,130,119,69,172,187,180,188,179,119,53,172,172,167,165,162,189,190,192,192,191,191,191,192,191,191,194,189,185,171,146,88,153,200,184,189,160,74,101,189,170,171,168,165,191,193,194,195,194,194,195,195,195,195,199,182,163,200,186,144,95,156,173,156,123,48,155,185,176,173,170,168,195,197,196,198,198,197,196,196,198,197,199,189,132,110,176,147,122,69,109,122,65,65,191,180,179,174,173,170,196,197,197,198,198,199,198,198,199,198,200,191,136,26,35,157,148,49,28,62,29,92,199,180,179,177,175,172,198,198,198,199,200,200,200,201,201,200,203,198,150,100,43,93,129,49,41,28,12,111,202,182,182,180,177,174,200,200,200,201,203,202,201,201,201,203,197,173,174,160,112,44,109,82,54,69,17,125,202,185,185,182,179,176,202,201,202,204,205,206,206,206,206,207,182,182,183,166,145,115,67,99,73,85,10,97,206,185,187,183,181,178,202,204,204,206,207,207,207,208,209,203,183,171,118,129,165,142,94,43,76,58,10,37,201,188,188,185,183,180,202,205,205,205,206,207,206,207,208,204,186,171,114,32,81,139,89,3,36,87,42,0,123,203,186,187,183,179,203,205,205,206,206,206,207,207,208,203,187,165,121,78,14,69,53,13,22,97,82,4,63,204,182,183,186,189,203,206,207,207,208,207,207,208,209,207,179,166,154,99,35,65,97,24,59,122,97,4,90,206,189,193,160,98,202,204,205,207,207,207,207,208,209,207,173,167,167,92,63,98,196,139,116,120,57,0,162,194,149,83,16,0,214,213,215,217,216,214,214,214,215,213,179,174,146,119,60,101,190,174,126,90,40,7,99,45,10,0,0,0,153,158,165,170,176,180,184,189,194,198,175,157,139,110,47,92,166,140,106,75,39,0,0,0,1,0,0,0,63,63,63,64,68,70,69,71,73,66,112,157,143,100,57,91,161,136,89,48,15,0,0,0,0,0,0,2,75,75,75,74,74,78,79,75,80,69,94,163,139,102,73,72,138,116,65,25,0,0,0,0,0,0,0,0
1,143,145,147,148,150,151,151,152,154,153,154,154,154,152,154,157,153,155,155,154,153,154,154,154,154,154,153,153,145,147,150,150,152,153,154,154,155,155,154,156,157,160,143,130,158,155,156,156,155,155,155,156,157,156,154,154,148,150,151,154,154,155,154,155,156,157,156,158,148,163,154,82,158,163,156,156,157,157,158,158,158,157,156,155,150,152,153,155,156,157,156,156,158,161,157,174,139,124,163,80,133,144,159,159,160,160,160,160,160,160,159,158,152,153,155,157,158,159,159,159,160,162,157,178,136,120,164,84,105,109,121,169,160,162,161,162,162,161,160,160,153,155,157,158,160,160,161,162,162,162,161,178,139,122,174,109,105,131,89,169,162,162,163,163,162,163,162,161,155,157,158,160,161,162,163,163,164,163,145,179,152,111,176,126,98,140,86,154,168,165,165,165,163,164,164,162,157,159,161,162,161,162,165,165,165,173,112,148,170,103,165,134,105,156,106,132,172,165,168,167,167,166,165,164,158,160,161,162,164,165,166,166,168,176,104,141,171,102,151,144,112,170,132,110,174,167,168,169,168,168,167,166,159,161,162,163,166,167,169,167,170,181,110,143,169,106,155,156,110,151,157,101,161,173,170,169,169,168,168,167,161,162,164,165,167,167,171,168,173,181,111,152,186,121,143,171,108,133,170,108,139,180,170,171,171,170,170,170,161,163,165,166,167,169,171,170,175,173,110,145,187,116,113,167,103,133,180,121,117,181,170,173,172,172,172,170,162,165,167,168,169,171,172,170,178,172,129,113,178,92,103,161,103,117,176,136,103,177,174,174,174,173,172,171,162,165,167,168,170,170,172,170,182,175,122,88,167,149,134,128,146,155,134,121,98,166,178,174,175,174,174,173,164,166,168,170,172,171,173,171,183,166,122,126,125,178,138,140,169,143,119,125,90,142,184,174,175,176,175,174,166,167,168,170,172,172,173,174,180,165,158,154,103,150,156,181,172,154,117,113,99,102,186,176,177,177,176,175,166,168,170,171,172,173,173,175,180,160,149,140,107,148,182,180,156,178,163,124,96,81,174,181,177,178,178,177,165,168,170,172,172,173,173,177,187,156,134,127,151,163,155,139,112,187,191,172,130,72,153,186,177,179,179,178,165,167,168,171,172,172,172,177,196,163,126,128,121,117,110,104,134,172,187,170,147,103,134,190,178,179,179,178,165,167,168,169,171,172,173,176,202,177,125,124,124,124,136,163,191,173,168,157,125,97,119,189,177,179,179,178,166,168,170,170,172,172,172,175,200,192,133,128,144,141,185,194,190,182,164,147,118,72,118,190,177,179,179,178,167,168,170,172,173,173,173,175,198,204,150,137,154,139,180,197,195,185,160,136,111,68,112,190,178,179,179,179,165,167,169,172,173,174,175,174,194,204,164,147,168,138,178,203,201,185,153,127,103,68,128,191,179,180,180,179,166,166,169,172,173,174,174,172,186,201,176,160,177,139,165,204,200,175,146,121,95,72,157,187,181,182,180,180,171,172,173,175,177,177,178,175,181,196,187,173,170,151,147,204,195,167,142,115,86,76,178,183,182,182,180,181,139,143,147,152,154,156,160,162,165,192,197,185,163,154,130,194,187,159,133,106,80,93,192,187,190,190,183,181,80,83,85,86,87,89,92,93,91,179,196,176,157,146,126,170,173,148,120,101,84,94,139,140,141,142,165,187,86,87,88,88,90,89,89,92,78,154,188,164,154,145,129,153,163,143,113,99,90,84,82,82,103,151,169,176
1,111,115,131,151,165,173,176,183,190,193,196,199,203,207,207,213,212,212,213,214,214,216,216,215,218,218,217,217,111,117,134,154,168,175,179,186,193,197,201,204,206,218,219,177,216,219,219,217,218,219,219,219,221,220,219,219,114,120,138,158,172,178,183,191,199,203,205,208,213,232,239,141,197,190,207,227,222,223,223,223,223,222,221,221,116,122,141,162,175,180,187,196,203,207,213,229,171,230,241,138,189,193,156,236,227,228,229,228,228,227,225,224,116,125,146,164,177,183,190,201,207,210,222,251,150,213,241,132,189,217,134,222,237,234,234,232,232,231,230,229,116,128,151,167,181,186,193,203,211,215,225,255,157,201,248,146,192,225,134,204,246,236,238,238,237,236,235,234,118,131,154,172,185,190,198,207,214,217,231,255,165,185,239,150,195,240,151,191,253,240,242,242,241,241,239,238,119,134,157,175,187,193,199,210,219,227,191,254,174,162,219,152,194,236,156,186,255,245,246,246,246,245,244,243,120,137,161,179,191,196,203,212,233,237,154,242,179,142,228,161,186,246,167,186,255,249,250,251,251,249,248,247,120,140,164,182,192,197,209,215,245,228,146,246,190,130,216,155,183,255,179,187,255,254,255,255,254,254,252,252,121,142,166,185,196,199,211,218,250,226,138,236,210,134,183,178,184,235,183,181,255,255,255,255,255,255,255,255,123,145,169,187,197,202,215,221,255,239,135,202,234,193,197,204,181,173,159,178,255,255,255,255,255,255,255,255,124,148,171,190,201,205,217,224,255,244,137,178,196,201,206,166,173,207,153,180,255,255,255,255,255,255,255,255,126,151,175,194,203,208,222,228,255,248,185,200,134,182,159,141,225,250,224,177,251,255,255,255,255,255,255,255,128,154,179,198,206,211,224,231,255,253,203,176,135,166,128,182,240,245,251,191,156,255,255,255,255,255,255,255,129,157,180,200,209,215,227,236,255,253,197,157,141,172,176,242,255,250,228,167,128,188,255,255,255,255,255,255,131,159,184,202,210,216,230,240,255,255,200,152,157,182,199,255,255,255,214,161,124,170,255,255,255,255,255,255,133,162,186,205,213,219,234,241,255,255,213,154,169,197,222,255,255,255,212,165,113,192,255,255,255,255,255,255,137,166,189,207,214,222,236,243,255,255,236,166,176,206,229,255,255,246,202,163,112,214,255,255,255,255,255,255,140,169,192,210,216,225,239,244,255,255,255,183,185,210,225,255,255,242,190,156,109,233,255,255,255,249,184,120,143,172,195,213,219,228,241,247,255,255,255,198,202,200,221,255,255,234,178,148,112,251,255,225,141,96,75,81,146,174,198,215,220,229,243,250,255,255,255,215,218,193,223,255,255,221,171,137,121,255,198,93,70,76,79,72,148,175,200,216,221,230,243,252,254,255,255,233,221,201,207,253,237,209,158,130,139,178,87,96,84,56,76,80,150,178,203,216,220,230,241,250,253,255,255,240,227,216,189,232,223,194,154,132,111,75,67,92,99,52,56,85,151,180,205,219,222,232,244,251,255,252,255,248,234,228,193,201,222,184,152,128,95,88,66,62,98,70,43,69,153,181,207,221,223,235,245,254,255,254,255,255,243,229,190,184,209,180,146,117,99,87,74,44,76,90,43,50,151,182,209,222,225,237,247,255,255,255,255,246,225,217,192,185,184,168,134,109,104,76,74,49,55,89,61,36,165,185,204,214,221,231,239,249,255,253,255,254,221,224,214,185,168,162,130,106,98,86,65,55,44,74,76,39
17,146,151,153,160,167,171,174,179,183,184,187,189,191,192,192,190,191,191,189,182,191,188,188,188,188,186,183,182,148,152,156,162,169,173,178,181,184,187,189,191,192,193,194,195,190,199,200,129,174,194,189,189,189,186,184,184,150,154,156,162,169,175,180,182,186,189,191,193,194,195,197,194,206,197,139,97,157,201,191,190,189,188,188,186,152,156,159,164,171,179,181,183,188,190,193,197,197,198,200,193,217,210,150,70,153,204,192,193,191,190,189,188,153,157,160,166,173,180,183,187,190,192,195,197,200,199,200,196,210,216,182,87,162,204,194,195,193,192,191,189,155,159,162,168,175,180,185,189,191,195,197,198,200,201,201,200,206,231,203,120,175,205,197,197,196,195,193,191,157,160,164,170,177,182,187,189,194,197,198,200,203,204,204,203,210,241,211,141,171,208,199,198,197,197,195,193,158,162,166,172,178,184,187,191,195,197,200,203,203,204,205,203,212,245,214,146,147,212,200,202,198,198,197,196,159,163,166,174,180,185,189,193,197,200,203,204,207,210,208,204,227,249,229,164,122,210,203,204,202,200,198,197,160,164,167,176,182,186,191,196,198,201,204,205,184,188,212,210,241,244,225,172,115,205,207,205,204,203,200,198,163,166,170,177,183,188,194,197,200,203,210,209,170,106,200,228,199,207,216,165,110,199,209,206,205,205,203,201,164,167,172,178,185,189,195,198,199,196,212,200,171,84,124,172,149,199,212,168,102,197,211,207,207,205,204,204,165,167,172,179,185,191,194,202,211,211,215,173,165,148,105,92,155,214,192,172,109,195,215,209,207,207,205,205,167,169,174,183,187,194,194,214,231,217,238,214,208,186,122,79,153,197,182,167,114,182,218,210,208,209,207,206,167,171,175,184,189,196,197,215,230,165,202,228,210,181,159,106,97,145,158,149,105,163,223,211,212,210,209,208,169,171,176,184,190,197,201,206,220,179,108,132,171,190,189,152,93,81,112,123,100,151,226,211,213,212,211,209,169,172,179,186,192,198,203,205,223,200,137,65,105,160,207,179,139,97,80,104,90,161,227,212,215,214,211,210,171,173,179,188,193,200,203,208,237,214,230,112,100,176,222,187,161,131,82,79,72,169,227,214,216,215,213,211,173,174,180,188,194,201,206,205,248,234,181,131,136,255,226,194,167,140,77,60,60,185,227,217,217,216,215,213,173,175,181,190,197,203,208,206,250,229,168,175,217,245,222,175,166,126,74,58,74,218,222,220,218,218,216,215,173,176,182,190,197,204,208,208,249,221,202,197,255,214,211,183,144,122,77,49,140,236,219,221,219,219,218,215,174,177,184,192,198,204,210,212,244,238,203,208,254,216,209,206,151,102,72,58,204,230,221,222,221,219,219,217,175,177,184,193,199,205,211,212,238,248,205,215,243,211,190,185,138,88,63,80,227,224,224,224,222,220,220,219,175,178,184,193,201,206,212,212,231,247,210,198,219,180,164,146,99,79,55,122,241,223,226,224,222,221,220,220,175,179,186,193,201,206,213,215,225,238,194,167,185,167,147,118,87,83,58,193,239,226,227,225,224,222,222,221,174,177,185,192,198,205,212,212,225,231,163,152,174,184,159,122,98,68,105,238,227,229,227,227,226,223,222,221,173,176,184,192,197,214,141,39,186,226,200,200,183,188,172,122,95,61,177,238,227,229,227,226,224,222,221,220,174,176,184,192,204,186,89,33,129,227,206,191,183,181,169,125,82,76,214,232,229,228,228,227,225,223,221,220
14,134,136,138,140,143,145,147,148,148,149,150,152,153,153,155,156,155,155,155,156,156,156,156,156,157,156,156,156,134,137,138,140,144,145,148,148,149,150,152,154,155,154,156,157,156,157,158,158,159,159,158,158,158,157,158,157,135,137,139,142,144,146,148,149,150,151,152,154,155,155,156,160,161,159,159,159,159,160,160,159,159,159,159,158,135,138,139,143,145,147,149,151,151,152,158,155,159,156,146,138,143,155,160,163,162,161,161,161,160,161,160,160,137,141,143,145,147,148,150,152,148,168,175,164,154,141,132,133,127,128,124,126,156,163,160,161,160,161,160,161,138,141,144,146,148,150,151,147,163,190,161,135,123,105,88,104,117,110,93,91,104,166,162,162,162,162,162,162,139,142,143,145,149,150,151,149,196,176,129,97,85,79,79,76,86,90,89,97,84,129,172,164,164,165,164,161,139,142,144,147,149,151,146,173,202,148,114,97,72,69,74,63,69,85,99,97,85,89,120,129,135,167,164,164,142,143,146,148,150,152,148,199,174,122,100,79,68,76,73,64,66,77,101,102,75,95,80,102,115,167,164,166,142,144,146,149,153,147,169,204,150,111,94,69,61,69,66,74,69,143,168,162,139,100,97,104,121,172,164,166,142,145,148,149,152,149,201,193,144,110,98,89,71,54,66,71,96,170,167,167,176,120,121,106,120,174,165,166,142,146,150,153,146,174,213,183,143,108,97,90,76,68,68,72,147,171,165,169,166,116,129,108,100,170,166,166,143,147,151,154,144,185,210,181,141,103,94,85,71,75,70,102,175,166,168,169,165,110,127,114,87,149,173,166,144,148,150,155,142,182,213,181,146,114,91,77,67,72,64,127,175,167,168,172,163,107,120,115,91,134,175,166,145,149,152,156,144,184,213,181,149,124,99,78,70,70,59,137,178,169,168,173,153,120,134,121,97,145,174,167,145,150,153,157,142,190,211,183,154,125,103,87,67,68,60,114,170,170,172,179,141,123,137,124,103,159,174,169,146,150,152,158,143,192,213,187,155,132,111,99,72,71,78,78,95,108,130,157,118,124,134,120,110,167,173,172,147,150,153,159,142,191,210,185,157,136,119,108,84,70,83,85,88,96,105,106,107,129,133,114,116,175,172,172,148,152,155,159,145,189,205,184,160,140,121,108,92,70,84,91,104,112,118,120,105,109,129,110,127,178,172,173,148,153,156,159,145,191,204,186,160,140,119,105,99,77,88,101,114,118,119,119,108,100,114,104,144,179,172,174,150,154,157,159,144,190,198,180,157,136,116,105,100,87,92,104,114,118,118,118,110,106,112,100,158,178,173,174,151,155,157,160,147,185,191,173,154,135,117,110,103,95,99,107,113,116,114,113,111,112,103,125,175,174,173,174,151,154,158,160,153,188,192,174,156,137,125,116,107,100,104,110,112,116,112,110,114,108,134,173,176,177,176,174,152,155,158,161,154,195,194,175,159,138,125,113,107,104,103,110,112,115,111,115,107,143,180,177,176,178,176,177,152,156,159,162,152,197,195,178,162,138,119,108,109,110,106,111,114,116,116,107,127,178,177,176,178,178,175,177,153,157,159,161,153,198,189,174,157,133,114,109,112,111,110,114,118,117,108,125,175,178,177,178,178,177,175,177,154,158,160,161,155,196,186,174,159,136,112,110,112,109,107,113,117,110,132,178,178,178,178,178,178,178,177,177,155,158,160,161,161,192,188,176,167,146,112,107,108,108,108,111,110,129,177,180,179,178,179,178,178,178,178,178
4,182,184,186,189,190,192,195,196,196,198,199,199,200,201,201,201,201,201,200,199,200,199,199,199,198,197,197,197,182,185,186,190,191,193,195,197,197,198,200,200,200,203,203,201,202,202,202,200,201,199,199,199,200,199,199,198,183,186,188,190,191,194,195,197,198,199,201,201,201,202,204,204,202,202,204,202,201,201,201,200,201,200,199,197,184,187,190,192,194,195,196,198,201,200,201,202,200,210,200,191,205,206,195,204,204,202,202,202,200,199,199,199,186,189,191,192,195,197,198,199,200,200,202,197,220,225,197,166,201,215,177,172,206,205,204,203,202,201,200,200,186,189,192,193,195,197,199,201,197,228,229,196,205,237,198,170,217,213,186,135,191,192,196,207,203,202,201,200,187,191,192,195,197,198,201,200,206,254,252,213,163,232,202,167,235,217,167,158,210,165,144,199,204,201,202,202,189,192,193,197,199,198,203,196,225,246,245,201,156,227,203,172,227,206,191,210,180,156,120,162,211,202,204,203,189,191,194,198,199,201,202,200,241,221,234,186,143,204,212,214,213,232,255,222,157,128,119,152,213,204,205,204,190,194,196,198,200,203,201,209,245,211,221,197,126,187,198,218,231,241,233,216,185,133,106,164,213,204,205,205,191,194,197,198,200,203,199,234,242,206,199,200,118,174,172,147,196,215,204,219,198,151,107,176,213,205,206,206,190,194,197,199,201,201,207,249,217,189,181,153,119,177,173,120,204,175,189,234,206,165,123,196,211,207,207,207,192,196,198,200,203,198,221,251,207,176,170,155,142,157,155,130,198,146,164,255,222,181,133,200,212,208,208,208,193,196,198,200,204,197,235,254,208,174,157,142,145,150,150,161,171,178,191,247,233,190,133,165,217,208,209,208,193,196,199,202,205,199,248,250,208,172,154,143,150,148,171,193,204,233,230,219,219,184,149,138,213,210,210,209,194,197,200,203,205,203,255,249,204,168,168,155,147,141,184,213,233,230,226,210,180,187,158,142,212,210,211,210,194,196,200,203,203,210,255,246,201,181,190,165,149,180,228,241,233,230,214,190,160,165,138,165,218,210,211,210,191,195,197,202,201,214,255,244,212,213,202,168,203,242,254,244,231,222,199,175,154,140,132,199,214,211,211,210,193,196,199,203,201,218,255,251,233,225,211,178,231,250,254,251,218,207,186,168,150,126,162,218,210,213,211,211,193,196,200,204,202,217,255,255,240,220,215,187,235,254,252,239,204,189,176,164,141,130,205,215,213,213,212,211,195,197,199,204,204,209,255,255,242,221,209,201,236,250,235,220,194,175,169,153,124,169,220,212,213,213,213,212,195,197,201,204,206,206,254,248,233,225,211,206,224,231,215,197,181,176,166,135,134,212,217,215,214,213,212,211,194,197,201,203,206,206,250,235,225,229,218,206,216,223,208,188,170,170,156,123,184,221,214,215,214,212,211,210,194,198,200,204,207,205,245,226,224,228,213,194,213,226,205,176,157,159,138,158,221,217,218,215,215,214,214,213,190,193,195,197,202,198,242,234,228,220,210,193,204,224,192,159,150,147,139,198,208,205,206,204,203,203,204,198,143,144,144,143,146,138,236,248,237,224,213,197,194,219,183,152,145,137,131,138,137,136,136,134,134,137,128,143,133,134,134,133,138,124,224,255,241,228,221,201,182,216,189,151,136,131,129,128,127,127,126,125,127,119,157,225,140,140,140,142,145,129,210,255,239,222,219,201,173,209,190,147,134,129,132,134,132,131,132,133,124,169,242,233
4,191,193,193,194,197,198,200,201,201,201,201,201,201,203,201,202,200,201,202,201,202,201,203,202,201,200,199,199,193,194,196,199,200,201,202,202,202,203,202,203,202,202,203,206,209,205,203,203,207,205,202,204,203,201,201,202,196,198,200,202,203,202,203,203,203,205,205,207,209,210,201,176,163,195,196,162,165,209,210,206,208,206,204,203,200,201,203,203,203,205,206,206,205,206,206,193,186,195,222,209,170,134,142,179,144,115,192,214,209,209,207,207,201,202,203,205,207,208,209,209,210,211,211,208,183,136,141,220,202,137,63,104,158,77,106,227,207,209,210,210,204,205,207,208,208,209,210,206,206,194,212,222,202,146,77,128,207,131,73,34,120,87,81,222,209,212,211,211,206,208,208,210,210,211,209,211,207,143,112,155,209,156,80,31,183,152,96,23,104,121,81,216,216,214,212,213,208,210,211,212,212,210,214,210,211,148,67,48,185,187,103,14,144,212,139,38,96,161,91,214,217,215,215,215,208,212,214,213,215,212,216,178,173,159,110,21,152,220,103,67,159,208,148,66,61,142,122,225,216,217,216,217,210,212,212,215,217,215,218,187,107,160,162,52,91,196,110,57,98,146,138,62,45,79,61,206,223,217,218,219,211,213,215,216,217,216,221,197,150,146,148,77,56,89,86,75,70,91,103,59,69,105,70,121,234,218,222,220,213,214,218,217,218,217,224,216,189,147,103,68,64,80,73,87,93,83,75,62,146,158,140,91,192,231,220,220,216,217,219,219,220,219,227,215,174,147,111,87,89,94,97,117,119,123,138,132,151,186,168,109,105,235,221,223,216,217,219,221,221,220,227,209,158,126,107,90,107,119,144,156,174,197,219,212,176,167,136,93,51,187,234,221,216,217,220,222,222,222,227,215,171,138,116,102,126,128,173,212,191,212,212,206,190,159,120,76,49,135,244,221,218,220,223,225,225,223,226,232,194,154,120,110,123,134,201,211,199,209,208,200,178,154,118,80,46,163,239,223,218,222,224,225,226,226,223,231,207,170,135,110,123,146,205,212,210,218,215,197,181,157,114,71,67,221,230,227,220,222,224,225,226,227,225,230,224,187,149,115,145,148,195,217,225,230,223,207,181,138,104,57,126,246,229,231,222,224,224,225,227,228,226,228,232,201,159,131,161,160,184,220,232,234,239,221,171,123,94,55,189,241,230,231,223,224,226,227,228,231,226,223,228,222,165,142,164,172,193,221,236,242,245,211,153,122,75,81,237,233,233,231,225,226,227,228,231,232,231,217,215,221,179,150,163,169,199,226,231,245,224,177,137,117,57,140,251,232,235,234,226,227,227,229,231,231,235,212,208,221,198,165,157,167,194,224,221,220,190,155,126,99,53,207,243,233,235,234,227,227,228,229,229,229,236,221,202,221,209,185,167,171,189,211,214,188,166,138,106,64,121,250,235,235,235,234,226,227,228,228,230,231,233,234,202,199,203,193,179,175,175,181,186,162,138,104,70,73,226,241,237,238,238,236,223,225,225,226,227,229,230,236,211,194,202,190,180,174,158,157,168,149,115,84,42,157,251,233,237,238,238,236,224,225,225,227,228,230,231,237,214,201,196,180,172,166,146,140,151,134,85,68,55,218,242,236,236,236,237,235,227,227,228,230,231,231,231,236,219,201,183,150,158,157,147,145,138,114,80,57,89,244,236,239,238,236,237,236,227,227,230,231,231,231,232,236,223,203,194,165,182,178,165,151,133,112,91,48,123,249,236,239,239,237,236,236
0,171,172,174,175,176,177,177,176,175,176,176,175,175,174,174,174,172,172,172,171,170,169,169,167,167,166,165,164,172,173,174,176,177,179,179,178,177,177,177,177,177,176,175,174,173,173,172,172,172,170,170,168,168,166,166,165,173,174,175,177,178,179,180,179,179,178,178,178,178,177,176,175,173,173,174,173,172,171,171,169,168,168,167,167,174,175,177,178,179,180,181,181,180,179,179,179,178,178,178,189,173,155,166,173,172,173,172,171,170,169,167,168,175,177,178,179,179,181,181,182,182,182,180,180,187,177,180,209,180,145,127,157,151,156,171,165,169,170,169,168,177,179,179,180,181,181,182,183,183,182,179,192,205,186,183,214,184,146,124,165,145,116,136,123,153,172,171,170,178,180,181,181,182,183,184,183,186,193,173,200,208,189,181,218,191,142,157,183,140,95,109,100,148,173,172,171,179,181,183,183,184,185,186,183,203,219,189,198,215,187,168,211,193,140,137,165,127,91,113,102,158,174,172,171,181,182,184,185,185,186,186,186,211,234,209,182,219,188,148,182,175,132,107,142,113,110,135,105,154,174,172,173,182,183,184,185,185,187,186,192,204,225,214,165,197,175,128,145,160,127,100,139,110,143,154,109,144,176,173,174,184,185,185,186,186,187,186,199,196,197,188,145,169,158,112,107,158,123,97,142,121,171,163,112,146,177,175,175,184,186,186,187,188,188,187,208,205,183,172,131,146,156,108,90,162,134,102,110,153,188,155,107,155,178,176,175,184,186,187,187,188,189,193,214,185,155,163,139,126,165,117,99,159,176,170,131,163,180,139,106,166,178,177,176,186,187,187,188,188,189,200,222,193,156,141,142,125,159,132,144,189,198,183,159,141,151,127,112,174,179,178,176,186,188,189,190,190,191,204,226,200,170,148,142,167,179,189,200,200,190,169,152,136,120,114,115,177,179,178,177,187,190,192,192,192,191,212,231,207,187,172,160,180,205,215,215,202,184,163,144,128,108,100,122,179,179,179,179,188,190,192,193,193,193,219,232,212,198,182,171,192,216,225,225,205,180,160,139,119,102,98,154,183,181,180,180,189,191,192,193,194,194,220,229,212,195,180,174,196,219,228,224,205,178,153,130,110,96,120,180,184,181,180,180,188,190,192,193,194,193,218,229,214,195,179,172,193,214,218,210,196,171,144,119,102,102,158,184,183,182,181,180,188,190,192,193,194,192,207,225,210,196,184,175,194,206,201,188,171,153,133,112,105,148,183,184,183,182,181,179,188,190,193,193,195,193,203,215,201,198,190,177,192,200,188,166,147,137,120,113,152,184,186,185,184,183,181,179,191,192,194,194,196,195,204,216,203,199,188,177,186,195,177,148,130,121,112,154,186,188,188,186,184,183,182,180,191,192,193,195,196,195,207,229,215,195,181,178,177,183,160,129,117,109,148,187,190,188,188,187,185,184,183,181,191,192,194,194,201,195,192,235,222,194,181,179,167,170,142,115,104,133,185,190,190,189,188,187,186,185,184,179,190,192,194,194,213,238,185,195,212,192,183,174,162,160,126,102,97,166,192,190,189,188,186,187,185,179,169,161,189,190,191,191,219,252,231,154,213,212,200,187,169,156,127,103,101,172,188,188,186,184,189,189,173,153,159,154,146,147,145,150,229,251,247,153,156,216,209,193,171,153,134,121,112,127,135,133,143,177,194,183,165,125,167,163,105,103,99,138,245,251,250,166,119,209,201,184,164,147,131,119,113,107,94,112,171,198,187,167,167,115,150,173
17,169,173,174,176,179,180,181,183,185,186,186,188,190,191,191,194,194,192,196,195,195,197,196,196,197,197,197,196,169,172,175,178,180,181,182,184,186,188,187,189,191,192,195,195,195,200,200,201,197,198,196,197,199,198,197,196,169,172,176,180,180,182,184,185,185,189,189,190,191,193,195,198,183,163,174,153,199,200,199,199,200,200,199,197,170,173,175,180,182,184,184,186,188,190,189,191,192,196,195,201,202,134,107,103,189,203,200,201,200,201,200,198,171,175,178,180,182,185,186,189,192,192,192,193,195,197,197,200,220,160,93,95,199,202,202,202,200,201,201,199,172,175,179,181,182,185,188,190,191,193,194,196,201,198,199,199,221,181,106,106,212,202,203,203,201,203,202,200,173,177,180,181,185,188,188,190,190,193,198,187,177,209,201,198,225,191,119,141,215,202,204,204,202,203,204,202,176,178,180,182,186,188,189,192,195,194,199,194,139,159,209,208,224,183,124,165,213,205,206,206,205,205,203,203,177,179,181,183,186,188,191,190,191,186,204,202,170,141,166,202,221,181,121,162,215,204,207,207,206,205,204,202,177,180,181,184,188,189,187,208,196,138,158,211,213,206,151,108,177,179,126,162,217,206,209,206,205,206,206,204,179,181,182,186,190,190,194,210,202,145,165,182,203,219,191,112,115,153,117,159,218,207,208,206,208,208,207,206,180,183,184,187,191,189,204,196,176,176,135,121,112,229,218,150,94,121,104,155,220,208,209,208,208,208,208,207,179,182,185,187,191,188,209,193,127,134,122,87,79,212,236,176,102,100,91,151,221,208,211,210,209,208,208,208,179,182,186,188,192,191,214,191,157,155,133,126,125,189,248,190,121,94,94,141,220,209,211,211,210,209,209,209,180,184,187,189,191,195,222,192,168,157,137,155,163,197,237,194,141,94,89,138,221,209,212,212,211,211,210,210,181,183,187,193,189,205,214,166,152,149,153,162,210,243,202,188,147,92,79,137,223,210,212,212,212,212,210,207,181,184,188,194,188,215,215,172,156,149,159,182,249,238,195,169,138,90,71,139,223,211,213,212,212,213,211,209,181,185,188,192,189,224,217,182,161,149,161,221,244,222,191,161,128,91,72,165,224,211,214,212,212,212,213,211,181,186,188,192,189,229,216,190,175,150,184,244,233,218,181,146,122,87,86,202,217,212,214,214,213,211,212,211,181,185,191,193,191,238,217,197,193,162,195,241,220,212,185,136,115,76,127,225,210,215,215,216,214,213,211,211,183,187,191,195,192,241,224,204,204,179,192,233,213,203,178,132,104,79,184,222,212,214,215,216,213,212,213,213,183,188,192,194,188,233,235,210,200,190,186,219,207,204,172,126,92,101,218,214,213,213,215,215,213,214,213,214,184,189,192,196,191,222,237,208,192,187,192,204,195,209,181,122,87,121,225,213,216,216,216,216,215,216,214,213,186,189,192,195,192,220,228,204,192,180,189,201,191,210,172,124,87,157,227,213,217,217,217,217,216,215,215,213,184,187,192,196,192,225,233,214,194,190,194,203,188,203,155,114,96,203,220,216,217,216,217,217,216,217,215,214,182,186,192,197,195,234,242,212,192,200,204,194,175,188,139,93,138,226,214,217,217,217,217,217,217,217,216,215,185,188,193,195,195,243,234,195,194,203,206,179,160,169,120,90,197,221,216,218,218,218,217,217,218,217,216,215,185,189,193,194,199,245,227,189,195,204,199,170,157,150,102,116,222,214,218,218,218,218,218,217,219,217,215,216
8,137,139,140,140,140,141,141,142,142,141,140,140,140,138,137,137,137,135,135,134,134,132,131,130,129,127,125,125,139,140,140,141,141,141,143,144,143,143,143,141,141,140,139,139,138,137,136,134,134,134,133,132,130,128,126,126,140,140,142,143,143,147,146,145,144,144,145,143,143,143,141,140,140,139,138,136,135,135,134,132,132,130,127,126,141,141,142,147,134,105,145,147,146,146,146,145,144,144,143,142,141,141,140,139,137,136,136,134,133,131,128,127,142,144,143,148,120,65,128,151,146,147,146,146,146,145,145,143,142,141,141,140,138,138,137,136,134,133,131,128,144,145,146,146,100,61,128,154,148,148,148,147,146,146,145,146,146,146,143,142,143,139,138,136,135,134,133,131,145,146,148,145,91,61,143,152,151,151,151,149,148,147,147,145,140,131,143,142,131,141,139,138,136,135,134,133,146,147,149,140,79,64,153,151,152,153,144,151,152,151,152,151,117,83,80,130,95,129,143,138,137,136,134,133,147,147,149,145,85,61,148,154,153,130,94,96,148,127,105,117,119,98,57,89,87,107,149,139,139,137,136,134,148,149,152,148,94,57,143,158,141,119,108,78,97,111,80,62,110,110,78,53,86,81,148,141,141,139,137,135,148,150,152,143,92,51,121,163,134,132,121,96,77,112,88,68,110,109,79,44,72,61,108,149,140,139,138,137,148,151,153,148,119,80,93,165,129,132,133,103,70,103,105,73,99,94,62,40,59,79,59,129,145,140,138,137,149,151,152,152,141,101,77,144,121,117,137,107,68,88,114,71,75,95,75,39,53,83,50,110,149,139,139,138,150,152,153,155,143,101,98,113,109,96,132,105,74,66,105,75,62,115,97,50,65,86,52,131,147,140,140,139,151,152,154,156,153,134,129,105,108,87,112,108,68,52,96,85,48,106,95,44,81,81,63,147,145,143,141,139,152,152,154,155,157,148,127,100,83,82,100,105,73,51,66,66,25,36,48,58,95,68,81,155,144,144,141,140,151,153,155,155,158,149,110,88,71,62,76,112,103,68,41,37,68,75,72,109,104,55,103,156,145,145,142,140,152,153,157,156,158,146,124,106,81,71,69,111,114,79,56,78,118,121,108,102,95,45,123,154,145,145,143,142,152,154,156,158,158,156,138,112,81,69,67,100,101,75,63,109,124,120,111,78,68,49,145,149,146,145,144,144,152,156,158,158,158,153,141,114,89,78,69,87,118,115,118,136,126,112,101,72,41,95,158,147,146,145,144,144,154,157,158,158,158,151,144,122,101,83,74,89,140,146,149,141,119,102,92,58,49,149,152,149,147,146,146,144,155,157,159,159,159,150,139,123,102,81,80,98,145,140,135,128,107,93,83,40,104,161,150,150,148,146,146,145,156,157,158,159,160,146,133,127,106,85,86,106,139,132,130,118,98,87,64,52,153,154,152,151,150,147,146,145,156,158,160,159,162,151,136,132,107,92,88,110,132,132,127,108,89,79,42,105,165,151,152,152,150,149,147,145,156,157,159,160,161,160,143,137,116,100,84,106,126,122,116,98,80,58,51,156,157,155,153,152,151,150,148,146,156,158,159,160,161,161,152,139,117,101,87,99,117,109,100,83,67,33,117,166,155,155,153,153,151,149,147,146,156,158,159,160,162,162,154,135,117,99,90,94,107,100,86,73,39,87,168,157,158,156,154,153,151,150,147,146,156,158,159,160,162,162,154,131,115,102,98,94,100,97,81,59,54,158,161,159,158,157,154,152,152,150,149,147
0,152,153,155,155,155,156,156,157,156,157,156,156,156,155,156,156,156,155,154,153,154,154,152,151,150,151,150,149,155,156,156,157,157,158,157,157,157,156,156,158,157,157,158,157,155,156,157,156,154,156,155,150,151,154,153,151,157,159,160,160,161,161,160,160,158,160,160,159,158,159,160,162,158,157,158,159,157,151,143,156,153,154,153,153,160,162,162,161,162,162,162,163,162,161,162,163,161,161,143,124,149,155,131,118,153,157,88,151,156,154,154,155,161,162,161,162,162,163,164,164,163,163,151,132,154,175,148,104,79,140,128,102,83,136,101,104,166,154,155,155,161,162,163,163,164,164,164,164,165,181,157,111,119,178,148,129,76,133,136,126,76,65,144,85,122,158,159,157,162,164,164,165,165,164,168,142,133,187,162,137,120,174,149,137,73,139,140,121,87,34,123,124,86,93,161,157,162,164,164,166,163,172,185,158,108,153,181,142,110,182,157,132,61,147,138,98,93,14,71,143,119,53,134,164,164,165,166,168,165,182,183,172,147,106,184,147,96,176,162,126,58,115,123,77,77,3,83,156,135,70,116,169,165,168,167,167,173,174,171,181,154,84,159,158,90,147,162,111,57,59,93,67,57,5,123,160,138,73,106,172,165,166,167,165,174,159,120,149,125,68,117,141,82,97,126,82,62,25,54,75,45,31,137,155,131,69,96,172,165,167,168,167,171,175,131,136,101,48,85,111,70,56,91,68,46,13,92,136,112,108,129,140,124,64,92,173,167,169,171,170,174,187,155,142,102,64,69,92,71,36,69,86,83,130,161,147,137,125,105,111,116,69,81,174,169,172,172,170,181,182,151,126,108,80,44,101,101,22,75,157,173,175,160,144,129,115,98,87,97,76,74,171,170,171,173,168,188,198,176,154,127,92,64,96,94,101,167,184,176,165,154,139,124,108,87,77,81,66,90,173,172,172,174,171,190,201,183,159,136,129,129,124,146,179,185,176,170,158,148,134,116,97,78,73,76,58,139,173,173,173,175,171,195,207,186,162,143,139,138,152,169,174,181,176,161,156,140,122,110,87,73,78,61,113,175,169,173,174,177,175,197,211,192,174,161,150,152,165,174,178,179,166,157,151,129,113,98,79,76,64,81,174,171,171,173,173,176,172,195,212,200,183,166,156,154,167,179,176,169,154,145,140,120,102,87,78,72,57,147,177,170,171,174,174,177,175,188,211,207,193,169,154,147,153,161,156,157,140,124,124,103,89,85,75,56,126,178,171,173,173,176,177,178,178,180,203,201,188,170,153,145,151,154,157,154,136,116,113,92,83,75,66,127,177,172,174,175,173,177,178,179,179,177,189,189,172,159,140,144,151,146,155,148,132,120,107,88,68,69,146,180,174,174,175,175,174,177,179,179,180,180,185,172,168,163,152,165,156,130,149,146,124,109,97,75,53,145,183,174,175,175,174,176,175,178,179,180,180,180,184,180,187,179,168,166,157,122,138,145,118,99,87,48,101,187,175,179,178,177,177,176,175,179,180,180,180,180,186,199,196,184,158,156,152,115,135,131,111,95,74,48,155,185,177,179,179,176,178,178,177,179,179,181,181,180,178,208,196,181,149,152,148,121,128,116,108,93,59,62,177,180,180,180,178,178,179,179,178,179,180,181,181,180,174,201,189,172,144,153,156,118,109,114,102,90,56,75,188,179,182,180,180,179,180,178,177,179,179,180,181,180,177,199,179,164,143,154,152,106,116,112,98,87,54,78,187,180,181,181,181,179,180,179,178
13,119,129,136,138,143,148,156,160,165,167,169,172,176,180,181,183,187,188,189,190,190,192,192,190,190,191,192,193,119,130,138,141,145,151,158,162,165,168,170,174,177,180,183,185,188,189,190,191,193,192,193,193,193,193,193,195,122,133,141,143,147,154,161,165,167,171,173,176,179,182,185,188,190,188,188,190,193,199,196,195,195,196,195,196,125,137,143,145,149,156,161,166,169,172,175,178,181,184,187,189,191,204,211,195,146,170,197,196,202,196,198,198,126,137,144,147,151,157,163,168,172,175,178,181,184,187,189,194,193,215,231,195,131,91,125,145,177,205,197,199,128,138,143,147,153,158,164,170,174,176,179,183,188,186,200,179,148,153,196,200,132,81,110,142,88,180,206,200,131,140,145,148,155,160,166,172,174,178,181,185,186,199,235,196,160,115,153,206,174,88,124,144,78,162,211,200,132,142,147,149,155,162,168,174,175,180,180,193,180,142,205,232,193,136,78,185,192,93,119,156,82,178,210,202,134,143,149,151,157,162,169,174,178,177,189,225,187,123,107,228,216,164,77,95,165,88,135,178,100,196,207,204,135,144,151,153,158,164,171,176,177,186,221,219,208,164,80,163,225,153,94,34,82,58,132,156,125,215,203,206,137,147,152,154,161,168,172,176,177,215,189,181,220,182,98,100,209,138,88,34,58,96,133,125,94,198,212,207,139,150,153,155,164,171,175,174,200,229,188,157,198,164,102,77,185,144,88,39,103,152,145,124,101,138,220,206,141,150,155,159,166,172,177,178,215,207,171,143,182,133,88,53,172,176,92,87,184,177,142,99,107,98,197,214,143,152,156,160,168,176,179,187,226,200,169,122,159,121,83,26,145,175,87,165,206,171,139,107,101,83,183,219,146,155,157,161,172,180,182,191,236,211,184,133,118,127,67,40,136,183,163,207,187,156,130,104,83,95,214,214,150,157,159,164,176,183,184,198,240,218,190,149,101,100,101,154,205,218,221,199,172,140,119,100,66,152,225,211,152,160,161,167,178,185,187,205,246,229,194,154,149,152,161,190,213,211,209,190,158,135,111,86,73,204,218,215,155,163,165,171,181,188,188,209,239,232,206,170,176,159,162,200,203,214,199,176,150,128,105,70,98,226,216,217,158,166,168,176,186,192,193,209,227,235,218,188,184,161,173,214,201,204,184,158,135,114,97,54,164,231,217,219,162,168,171,179,189,196,200,200,223,233,222,199,184,164,175,205,206,181,165,142,125,112,72,116,230,222,222,221,165,171,174,182,191,197,203,200,217,225,218,207,190,177,172,191,200,174,151,131,118,94,95,223,227,224,224,223,167,174,176,185,193,199,204,207,205,226,221,213,207,194,174,182,191,167,134,119,107,82,197,235,225,228,226,224,170,175,179,186,196,202,206,211,197,226,220,213,209,193,169,174,175,155,115,111,84,149,241,226,229,230,226,229,172,179,180,189,199,206,209,214,202,223,201,184,195,185,166,167,162,142,117,98,96,224,232,232,232,228,235,222,173,179,182,192,201,208,211,216,205,225,203,186,204,199,182,158,155,137,127,81,137,238,232,233,233,246,218,102,175,179,182,193,201,206,211,216,203,226,217,197,218,202,186,154,150,136,129,74,162,240,232,238,234,181,90,52,175,180,183,194,202,208,211,216,208,222,230,217,231,206,188,160,149,136,128,72,173,243,234,234,130,54,37,43,176,181,185,196,203,209,213,220,206,206,235,224,228,203,183,165,150,138,124,70,168,244,245,167,64,63,51,21
21,123,127,130,132,135,136,137,138,140,140,141,141,141,140,139,140,141,138,137,136,134,134,134,133,131,130,129,128,124,128,131,134,136,137,138,140,142,142,143,144,143,143,142,139,134,140,138,138,137,136,136,135,133,132,131,131,125,129,132,135,137,137,140,142,144,144,145,144,145,144,146,152,80,109,146,139,138,137,137,136,135,133,133,132,127,130,134,137,138,139,141,143,146,146,146,145,146,143,151,153,67,101,149,140,141,139,140,138,137,134,134,134,129,132,135,139,139,140,142,145,147,147,147,147,147,144,158,142,70,112,150,142,143,139,136,141,139,137,136,136,129,133,136,137,140,143,144,146,147,148,148,149,151,145,164,139,71,119,152,142,143,128,83,117,146,138,139,137,131,134,138,139,143,144,145,145,147,149,151,151,152,149,166,135,75,131,150,144,139,115,60,108,148,140,140,138,132,136,139,142,144,145,146,147,150,151,153,152,152,151,167,129,73,136,150,145,134,110,67,135,143,140,140,139,132,136,139,142,144,146,148,150,151,151,152,152,150,156,165,124,69,135,153,144,132,95,81,148,142,142,141,140,134,138,141,144,145,147,149,151,151,153,153,154,148,163,167,116,67,143,150,137,130,77,113,152,142,144,143,142,136,140,143,145,147,148,150,151,153,153,151,150,150,173,163,103,79,157,141,132,113,69,139,149,145,145,144,143,136,139,143,146,147,149,152,153,152,159,152,106,102,158,136,81,84,158,137,135,83,87,156,148,147,147,146,145,137,140,144,146,148,151,153,153,153,157,155,113,77,76,76,55,99,155,141,122,67,129,156,148,148,148,146,145,138,141,144,147,150,152,153,154,157,163,153,152,123,93,53,51,100,129,130,92,77,154,152,149,148,148,147,146,138,142,146,148,151,152,155,155,164,173,164,182,160,114,63,56,71,84,94,63,114,160,150,151,150,150,149,148,139,143,146,149,152,153,155,160,161,131,155,163,149,98,64,55,61,67,65,67,148,156,154,153,152,150,151,150,138,143,146,150,153,155,154,170,146,103,142,104,136,114,76,58,50,60,53,98,163,155,155,155,153,151,151,150,141,145,148,151,154,156,156,173,159,124,92,52,119,137,90,61,49,53,52,128,164,156,156,155,154,154,153,152,142,147,149,152,154,155,158,173,136,98,80,55,94,151,105,73,58,53,53,143,162,158,158,155,155,155,154,152,142,146,150,153,155,155,167,176,131,119,110,81,141,161,117,98,67,58,51,143,166,160,160,158,156,155,154,153,142,147,151,153,156,154,173,172,142,132,99,128,193,157,118,108,73,63,59,147,166,160,161,160,157,156,156,154,143,148,151,152,156,156,177,180,159,118,112,186,179,139,110,105,78,66,69,155,163,161,160,161,159,158,158,155,143,148,151,153,157,157,181,192,147,119,130,192,166,137,105,92,83,65,81,164,162,162,161,160,160,159,157,155,143,148,152,155,159,156,182,176,132,137,134,189,162,139,120,79,75,62,100,170,162,164,163,162,160,159,158,157,143,147,151,153,156,157,175,154,155,146,131,189,158,130,115,82,73,62,121,171,163,164,162,162,161,160,159,157,143,146,148,152,155,157,163,164,182,142,145,179,142,116,97,80,75,66,138,169,163,162,161,160,159,158,158,155,142,147,149,152,156,159,159,171,172,132,130,160,129,101,80,75,69,76,154,167,163,163,162,160,161,159,158,156,144,147,150,153,156,160,161,166,153,131,118,142,125,98,85,75,63,86,166,166,165,164,163,161,161,160,159,157
4,177,178,179,180,181,181,183,183,183,183,184,184,185,185,185,185,185,185,185,185,185,184,184,184,184,184,184,183,179,180,180,181,182,183,184,184,185,185,185,185,185,186,187,184,183,184,186,186,186,186,186,186,186,186,186,185,181,181,182,183,184,185,186,186,186,186,185,182,181,185,191,180,164,164,183,188,189,188,188,188,188,187,188,188,182,183,183,185,186,187,187,187,187,188,189,177,166,173,200,187,155,134,167,185,185,187,189,190,189,188,189,190,184,185,186,187,188,188,188,188,188,193,205,190,172,160,194,195,162,130,136,161,161,166,186,192,192,191,191,192,186,187,187,189,190,190,189,189,184,188,202,203,179,156,175,196,166,130,107,146,149,133,162,191,194,194,194,194,188,188,189,191,192,191,193,198,192,181,166,186,186,157,157,194,171,128,99,147,154,123,128,184,196,196,196,196,189,190,191,192,193,192,198,205,200,180,135,141,176,150,140,186,170,123,94,148,157,122,110,176,197,198,198,198,191,192,193,194,194,194,199,196,187,169,120,112,156,145,130,157,146,105,91,149,153,115,106,176,200,199,199,199,192,194,195,196,196,195,200,192,174,163,115,100,148,151,136,135,120,88,86,141,137,101,109,182,201,201,200,200,193,194,196,197,197,196,200,196,171,159,124,100,137,161,159,151,141,114,93,116,112,90,114,188,202,202,202,201,194,195,196,198,199,199,202,207,187,158,128,96,111,162,181,182,172,148,110,91,91,85,124,194,203,204,203,203,195,196,198,199,201,200,204,210,190,155,119,86,86,132,170,185,181,154,114,82,77,83,136,200,205,204,204,204,196,198,200,201,201,200,205,206,178,142,115,92,78,86,124,161,171,151,119,89,76,82,145,203,206,205,205,205,198,199,201,201,201,201,206,203,174,141,116,97,82,79,94,121,154,157,134,102,81,81,149,204,207,207,206,206,199,200,202,202,202,202,208,208,183,148,122,105,93,89,102,116,157,175,154,119,90,83,153,206,208,208,207,207,200,201,202,203,203,204,210,208,182,144,118,106,97,94,120,156,189,196,177,140,104,87,146,206,209,209,208,208,200,201,202,203,204,205,211,207,179,145,122,111,111,109,145,191,210,205,188,151,115,93,128,201,210,210,210,210,202,202,203,204,205,207,211,205,179,148,129,122,128,126,169,209,217,202,179,146,116,96,129,202,211,211,211,211,202,203,204,205,206,207,211,203,180,153,139,136,135,140,187,214,212,195,169,135,110,96,144,207,213,212,211,211,203,204,205,206,206,207,208,201,180,157,145,143,136,146,194,213,200,178,155,122,99,97,163,211,213,213,211,211,204,205,206,206,207,207,206,198,177,155,146,150,136,147,195,208,186,160,138,110,92,106,183,213,213,213,211,211,204,205,207,207,209,209,205,196,178,159,157,162,138,148,196,198,172,145,123,100,91,125,200,215,215,214,214,213,204,206,207,207,209,210,206,194,180,165,160,164,142,149,192,182,157,131,110,94,93,152,210,216,216,215,215,215,204,205,206,207,208,209,206,199,186,168,157,159,142,148,182,166,142,117,100,91,102,177,215,217,217,216,216,216,203,204,204,205,207,206,205,207,193,170,154,146,132,137,169,153,126,108,95,90,118,194,216,216,216,216,216,216,203,204,205,206,206,202,206,211,194,170,150,132,119,128,152,133,111,100,92,94,149,207,216,216,216,216,216,216,204,205,206,207,206,201,210,209,194,175,151,125,118,131,144,117,104,95,91,111,181,213,216,216,216,216,216,215
10,56,94,95,99,105,110,118,129,137,140,144,148,152,157,160,161,165,165,168,169,169,169,169,171,171,171,169,168,62,95,96,101,106,111,120,130,138,143,147,151,156,159,162,165,166,178,167,170,172,171,172,172,172,172,172,170,67,97,97,102,107,111,122,133,141,146,150,155,160,163,166,165,175,211,147,158,178,173,175,174,174,173,173,172,74,97,99,103,107,113,124,135,144,148,153,158,162,164,168,167,180,209,157,141,183,176,178,177,177,176,176,174,79,98,100,104,108,114,126,138,147,148,153,160,164,169,172,171,178,211,181,135,182,179,179,180,179,178,178,176,84,98,101,104,109,115,128,140,146,164,161,158,170,172,174,175,176,219,208,136,176,185,182,181,180,180,179,178,90,99,102,105,109,117,129,141,149,214,159,116,160,175,177,180,178,216,209,142,166,190,185,184,184,184,182,181,93,99,102,106,111,119,131,142,150,182,145,112,108,186,162,153,185,210,217,148,153,194,187,187,186,186,185,184,95,98,102,107,112,119,132,145,153,159,152,128,115,179,132,128,187,214,227,154,139,198,189,190,189,188,187,186,98,100,102,108,112,120,134,146,156,160,165,156,151,190,130,88,180,211,196,145,117,194,193,193,192,190,190,189,100,101,104,108,111,120,136,148,157,162,165,179,164,193,144,87,143,198,142,122,103,187,196,193,194,194,192,191,101,101,104,108,112,121,137,150,159,163,167,176,170,196,165,133,104,129,115,119,98,179,202,197,197,196,194,193,102,102,104,108,112,122,138,151,161,164,168,179,191,160,186,175,148,96,89,108,98,158,209,199,199,198,197,195,102,102,103,107,113,123,139,152,162,166,166,200,205,137,145,213,183,152,108,98,93,123,211,201,202,201,199,199,102,103,104,108,113,124,140,153,164,167,174,194,216,177,96,175,214,180,153,93,82,102,208,205,205,203,202,200,103,103,104,109,112,124,142,155,162,176,219,166,197,168,109,161,228,192,163,98,75,103,208,208,206,206,204,203,103,102,104,109,112,125,143,157,162,184,237,171,147,182,143,215,215,183,163,111,82,81,191,215,208,208,207,206,103,103,104,109,112,126,143,157,166,173,215,190,133,211,195,229,219,179,157,118,89,76,187,218,211,211,208,208,104,104,104,109,112,127,144,157,169,167,197,193,140,214,162,205,221,188,146,114,95,81,196,218,212,213,211,209,104,103,105,109,112,128,145,160,169,169,194,211,181,178,108,221,217,177,142,112,98,90,205,218,214,214,214,211,105,103,104,108,112,129,145,159,170,174,175,225,224,169,144,236,208,172,138,108,99,95,211,220,216,215,214,212,104,103,104,108,112,129,145,161,171,174,178,203,243,231,212,228,198,163,132,110,102,103,218,219,218,216,215,214,104,103,104,108,112,129,146,161,171,174,180,193,239,236,212,199,182,152,130,118,99,120,227,218,219,218,217,215,104,102,102,105,111,128,145,160,169,172,180,182,175,229,189,166,177,162,146,134,97,140,229,216,219,218,216,215,103,101,101,104,110,128,145,160,168,171,185,172,65,212,173,183,189,187,177,148,90,141,229,217,219,219,218,215,102,98,99,103,108,127,145,160,170,170,187,163,31,178,222,200,175,181,169,126,74,68,224,222,221,219,218,216,98,95,97,100,106,124,143,159,168,171,188,139,35,116,186,171,149,151,125,75,32,97,233,219,221,219,218,217,103,99,100,100,106,124,141,157,166,170,182,121,48,76,76,69,61,62,50,35,19,144,234,217,220,219,219,217
14,134,135,135,136,136,137,137,137,136,136,135,135,135,134,132,132,131,129,129,128,126,125,124,123,122,120,118,117,136,136,137,137,138,139,139,139,139,138,138,137,136,136,134,134,133,131,130,130,129,127,126,125,124,123,122,120,137,138,138,140,140,141,142,141,140,139,140,139,138,136,136,135,134,133,131,131,130,129,128,127,125,123,122,121,138,140,140,142,142,142,142,142,142,142,141,140,141,138,136,135,135,134,133,132,131,130,129,128,127,124,123,122,140,141,141,142,142,143,144,144,144,146,145,140,132,141,142,143,138,136,135,134,133,131,130,129,128,127,125,124,142,143,143,144,144,145,147,146,143,131,123,115,74,87,93,118,136,140,140,135,134,133,131,130,130,128,126,124,143,144,144,147,146,147,148,142,123,104,84,61,38,46,64,70,91,103,124,139,136,135,134,132,132,130,128,126,144,145,146,146,147,147,148,138,111,74,47,37,40,35,51,63,74,58,88,149,135,136,134,133,131,131,129,127,144,146,147,148,148,143,139,119,81,32,26,29,30,27,31,34,50,36,52,124,140,136,136,135,132,131,130,129,145,147,148,150,149,135,123,93,48,31,24,24,28,28,31,30,37,47,46,53,135,139,137,136,135,134,130,129,147,148,149,150,148,130,109,56,32,35,30,29,29,25,27,29,30,45,39,65,148,139,138,136,135,134,132,131,149,149,150,149,150,136,112,52,30,29,29,34,28,47,126,112,117,56,40,48,115,146,139,137,136,135,133,132,149,151,152,151,151,137,113,62,28,25,26,34,24,108,162,153,158,135,81,53,60,87,130,140,135,135,134,132,150,151,151,151,150,137,111,58,34,36,29,19,85,158,149,149,147,154,135,72,76,57,108,146,136,136,136,135,151,151,151,153,150,141,115,64,44,42,34,39,150,154,153,151,151,148,91,77,76,56,123,145,138,137,136,136,151,152,153,155,151,143,123,82,55,39,30,51,156,152,154,151,155,120,72,77,63,65,146,142,140,138,137,136,152,154,155,154,148,142,128,86,61,40,23,76,169,153,152,155,145,75,66,72,47,99,152,141,142,140,139,137,152,154,155,154,145,144,127,92,66,41,27,49,131,154,160,156,103,68,59,61,36,132,147,143,142,141,139,136,152,154,155,153,146,142,125,94,64,41,38,35,44,65,126,108,67,75,68,36,92,153,143,144,143,142,140,137,153,154,156,152,145,148,128,93,70,45,37,42,49,51,55,53,62,69,48,75,154,147,145,143,142,142,140,138,153,154,157,151,145,152,127,92,70,47,35,42,50,56,60,54,58,60,57,148,150,147,146,144,143,142,141,140,154,155,158,148,146,149,122,88,72,50,35,42,50,53,60,61,51,38,124,158,149,148,147,145,143,142,141,140,155,156,158,147,147,145,119,88,76,54,35,42,52,56,58,60,38,77,159,149,149,149,148,146,144,143,141,140,154,155,157,146,148,138,113,90,77,54,35,44,56,60,61,46,52,155,154,151,150,150,148,148,146,143,142,140,155,156,157,145,144,128,108,86,74,53,34,45,57,57,55,27,102,165,151,154,152,149,149,148,147,144,142,140,156,157,157,145,138,126,106,85,71,53,36,43,53,54,38,50,157,155,154,154,153,150,149,148,146,146,143,141,155,158,156,145,132,124,101,79,65,50,36,42,48,44,29,130,163,155,155,154,153,151,149,148,147,145,144,142,155,156,155,145,127,119,97,77,58,46,35,39,39,27,110,167,156,157,156,154,153,151,150,148,147,145,143,142
15,113,114,106,49,124,76,0,44,54,54,57,61,66,73,90,104,115,123,127,131,137,143,149,154,158,162,164,166,119,120,104,53,133,66,0,48,54,55,58,64,67,73,93,106,118,125,128,132,139,145,152,156,160,164,166,169,124,125,99,59,142,56,0,54,53,55,60,64,68,75,94,109,121,127,130,135,142,148,154,160,162,165,169,171,127,132,94,67,149,43,0,56,53,57,61,66,68,77,97,109,121,130,133,136,143,149,156,161,165,166,170,172,129,138,87,77,153,30,0,59,54,57,62,67,68,79,98,110,123,131,135,139,146,153,159,162,166,170,172,175,133,142,80,89,153,21,5,62,56,61,64,68,69,79,98,113,125,133,136,140,148,155,161,163,168,173,175,178,137,147,74,101,150,0,3,54,49,52,58,65,68,81,100,115,127,135,138,143,151,157,162,166,171,174,177,179,140,151,71,132,154,83,80,104,95,91,85,77,73,82,99,115,127,138,140,143,152,157,163,168,171,175,178,180,144,146,92,172,132,132,129,157,141,138,140,145,126,108,96,110,122,125,128,148,153,157,165,168,173,178,179,181,144,146,74,128,78,85,85,122,102,96,136,155,128,102,109,143,152,128,93,91,159,161,165,171,175,178,181,184,147,147,62,141,97,24,54,83,77,71,116,136,111,83,126,157,146,143,154,74,93,167,169,171,177,181,183,185,153,143,61,164,117,0,48,62,59,63,67,97,97,122,172,145,130,161,165,139,71,78,175,176,177,182,185,189,159,138,63,172,100,0,58,63,61,59,72,115,119,122,165,123,120,157,141,158,109,52,78,180,183,180,187,190,163,133,70,181,89,0,61,62,60,59,164,148,90,76,87,81,126,137,138,136,113,90,41,72,173,190,187,191,170,126,77,189,75,0,65,62,57,71,175,162,108,66,24,34,129,155,143,94,82,79,66,38,53,168,196,191,179,120,90,193,62,0,69,61,61,46,133,186,146,127,103,110,123,126,113,65,52,61,55,54,36,55,189,195,185,111,102,194,48,0,73,59,59,107,160,165,159,127,105,108,99,95,104,75,51,56,52,47,47,25,99,211,188,103,115,191,37,0,76,49,139,166,146,122,145,110,61,80,77,76,79,61,51,58,55,50,46,45,35,138,191,95,124,190,26,2,76,52,151,125,98,84,104,73,47,52,49,47,48,51,59,75,73,50,42,49,45,44,191,88,139,187,12,9,77,57,82,77,52,79,76,48,43,61,45,32,68,73,83,96,79,42,40,49,50,46,193,84,151,182,3,17,75,60,58,59,59,98,156,111,73,70,66,49,60,74,83,82,64,42,42,51,54,52,191,80,166,178,0,24,74,59,60,62,65,63,87,90,55,34,81,106,39,48,81,73,54,48,50,59,54,51,192,77,183,176,0,32,74,58,58,61,62,66,70,89,104,118,131,108,85,79,64,56,52,55,61,59,54,52,188,77,195,169,0,38,74,58,58,59,61,63,72,96,116,131,148,132,40,65,92,95,82,71,52,36,29,25,180,81,206,157,0,46,73,59,58,59,60,61,71,95,112,125,150,102,29,24,108,80,32,9,0,0,0,0,172,84,214,145,0,51,68,56,56,57,58,61,71,93,112,128,150,75,43,45,0,0,0,0,0,0,0,0,160,93,221,130,0,56,66,54,53,55,57,58,69,92,112,132,137,59,37,44,19,0,8,0,0,0,0,0,152,105,228,118,0,61,65,53,52,52,55,56,67,90,109,134,115,42,40,37,36,0,0,0,0,0,0,0
20,158,162,166,171,174,175,177,180,181,183,184,185,186,186,186,187,187,187,187,187,186,186,185,185,185,183,182,180,160,164,168,172,175,177,179,181,183,185,186,187,188,188,189,189,188,189,189,190,188,187,187,187,187,185,185,182,162,166,170,174,177,179,182,183,185,187,188,189,191,191,190,205,184,173,190,191,191,190,191,191,189,187,187,185,165,168,172,176,179,181,184,185,187,189,190,192,193,193,191,219,181,156,181,171,194,193,193,193,191,191,189,187,167,170,174,178,181,184,187,187,189,191,193,194,195,196,194,220,182,173,195,145,192,195,194,194,194,193,191,190,169,172,176,180,183,185,188,190,191,193,195,195,196,197,196,227,195,179,210,146,188,197,197,196,196,195,193,192,171,174,178,181,184,187,190,192,194,195,196,196,198,199,200,233,196,184,221,157,185,200,200,199,199,197,196,195,172,176,179,183,186,189,192,194,195,197,198,199,199,200,205,231,189,196,222,158,181,204,202,201,200,198,197,196,174,178,181,185,188,191,194,196,198,199,200,202,219,212,192,225,186,204,218,151,180,205,203,202,202,201,200,199,176,180,184,187,190,193,195,198,199,200,203,213,241,223,166,163,167,200,212,150,185,207,206,204,204,203,201,200,178,181,185,188,192,195,198,200,200,207,235,228,190,199,183,153,143,168,187,149,191,209,207,206,206,204,203,201,180,183,187,190,194,197,200,201,201,221,231,221,204,184,205,211,175,133,148,139,195,210,208,207,207,206,204,203,181,185,188,192,195,199,201,203,203,224,207,157,172,134,169,220,192,133,118,124,195,211,210,209,209,208,207,205,182,186,190,193,197,200,202,205,205,227,198,145,131,107,115,195,218,164,115,116,194,213,212,211,210,210,209,207,183,186,191,194,198,201,203,206,206,231,220,186,149,123,126,164,238,197,129,111,195,216,214,213,212,211,211,209,185,188,192,196,199,202,205,207,208,239,230,179,145,134,148,166,244,221,153,111,189,217,215,214,213,213,212,210,186,189,194,198,200,204,207,209,210,240,222,174,151,152,163,199,250,227,172,119,184,218,216,216,215,215,214,212,187,190,194,198,201,204,208,210,212,242,230,190,168,169,183,235,252,220,176,124,184,220,218,218,217,216,215,214,187,191,195,198,202,205,209,212,213,242,239,204,175,186,204,251,249,212,169,127,186,223,220,219,218,217,217,215,187,191,195,199,202,206,210,213,213,241,246,214,187,192,224,253,239,206,165,125,188,223,220,220,219,218,218,217,187,192,196,199,202,206,210,213,213,239,248,219,204,197,234,250,227,200,157,120,184,223,220,220,218,218,218,216,190,194,198,201,204,207,211,215,215,234,250,227,220,209,230,243,218,193,154,113,183,224,221,221,220,219,219,217,191,194,197,201,205,209,212,215,216,225,248,236,228,218,211,226,200,185,146,109,187,226,223,222,222,220,221,220,192,195,199,202,206,208,212,216,218,221,245,243,227,207,192,203,183,183,142,112,201,226,223,224,223,224,213,181,193,196,200,204,207,210,213,217,220,220,243,241,215,183,169,185,179,177,131,127,221,227,225,225,225,199,141,107,180,185,190,194,198,203,207,205,171,150,221,230,195,166,160,187,175,162,110,158,229,227,226,227,196,129,103,92,133,136,138,139,142,144,147,149,93,47,178,229,199,165,166,198,159,136,86,103,163,174,176,174,127,94,88,80,108,113,116,117,115,114,117,128,124,81,134,211,195,168,179,199,135,110,62,43,94,117,121,126,102,78,72,73
6,186,186,187,188,187,188,188,187,189,190,190,190,190,189,190,191,188,189,190,191,190,189,189,188,188,187,187,186,187,187,188,189,189,189,189,189,189,189,189,190,192,191,192,192,191,192,191,191,191,191,190,189,190,188,188,188,187,188,189,189,189,189,190,191,190,189,189,190,191,192,193,193,192,192,193,193,193,193,191,191,190,188,189,190,188,188,189,190,190,190,192,192,192,192,192,191,192,193,194,195,195,194,193,195,193,191,192,193,189,192,191,190,188,190,190,190,192,192,192,192,192,193,195,194,194,194,192,187,182,184,182,183,179,172,158,159,177,174,189,192,190,190,191,192,192,193,192,193,194,192,190,188,180,179,181,174,177,180,195,195,184,174,161,150,163,143,184,195,189,191,191,193,193,194,194,189,181,174,177,176,177,190,191,178,169,172,175,166,153,136,129,133,140,160,195,194,188,190,191,194,193,192,188,183,174,165,163,168,172,166,157,141,129,121,121,134,143,154,167,181,191,196,195,194,189,190,192,189,188,187,185,186,174,153,132,125,118,107,105,105,109,144,182,196,199,201,200,198,196,195,194,194,188,188,187,183,181,183,185,184,181,166,124,93,82,87,113,147,181,202,199,198,195,194,195,195,195,194,193,193,188,182,180,181,184,181,183,188,187,156,118,89,84,88,111,198,202,193,196,196,195,194,195,195,195,194,193,192,179,180,181,181,179,183,190,190,161,116,102,90,84,92,89,109,183,204,195,196,196,195,195,195,195,194,194,193,181,183,179,181,181,187,186,186,174,149,110,83,83,98,95,82,88,175,204,196,196,196,197,197,196,195,194,194,188,183,180,183,186,184,185,196,197,170,120,84,77,91,109,107,89,91,194,200,198,199,198,197,195,195,195,194,184,184,184,181,184,189,188,200,190,150,111,87,85,84,91,97,101,76,163,205,196,198,197,197,197,195,195,195,186,185,183,181,184,186,183,188,180,140,102,86,87,87,77,79,85,102,187,205,202,201,202,202,201,200,197,194,188,183,179,177,173,175,177,182,180,153,109,75,83,92,93,90,76,148,180,180,184,186,189,187,182,182,192,199,184,181,179,178,175,178,182,188,192,164,110,79,70,79,110,90,84,99,98,102,105,103,99,108,142,176,202,202,180,185,184,181,181,185,187,194,188,150,96,83,83,74,82,94,96,100,97,95,89,114,142,173,202,201,208,209,182,183,178,177,176,173,168,178,156,122,98,88,86,83,82,102,112,99,108,123,159,202,214,193,180,187,188,200,177,170,166,168,160,151,149,150,131,112,101,96,92,83,85,94,119,168,193,199,207,194,187,188,178,170,182,186,164,166,160,151,144,139,139,133,116,100,96,98,97,86,95,143,206,219,210,201,190,177,168,170,175,166,160,163,143,147,145,135,129,122,111,109,110,100,102,97,99,132,189,221,210,195,193,189,175,162,158,158,167,163,153,158,105,110,110,108,99,94,95,99,100,103,93,129,188,220,220,211,201,189,184,188,166,145,153,152,156,159,153,153,81,81,88,90,92,98,101,101,105,89,143,205,216,210,202,196,186,185,185,185,159,128,143,148,144,154,149,146,91,91,100,102,98,99,102,102,88,151,215,196,198,185,193,188,173,179,185,186,155,117,128,140,141,147,143,149,97,97,98,98,97,99,98,90,156,213,190,182,183,183,190,177,165,168,180,184,157,112,113,131,136,140,147,143,97,97,97,97,99,97,107,169,209,193,182,172,181,182,187,170,157,157,173,185,159,115,107,122,135,142,152,136
1,58,60,64,67,77,92,103,108,111,115,120,124,127,129,135,135,137,139,140,140,142,143,144,144,145,146,146,146,59,61,65,69,80,94,105,110,113,118,123,126,129,141,124,138,140,139,140,141,141,143,144,144,144,145,145,145,60,63,67,71,82,97,108,112,116,123,125,126,141,163,93,117,132,141,141,142,143,143,144,144,144,144,145,144,61,64,68,71,84,100,110,115,120,124,135,130,134,170,90,101,105,123,149,145,145,145,145,145,145,146,145,145,62,64,69,72,86,102,113,118,124,125,161,137,105,169,89,104,117,93,155,149,149,149,149,148,147,148,147,146,63,66,70,73,89,105,116,120,127,129,165,143,98,157,88,98,125,78,148,155,154,154,154,153,151,151,151,150,64,66,70,76,92,107,117,122,130,130,168,145,88,152,104,99,131,80,141,162,157,157,158,157,156,155,155,154,64,68,71,78,96,110,120,124,134,138,160,148,82,130,103,100,143,87,133,169,161,163,162,161,160,159,158,157,65,68,71,79,99,114,123,124,146,144,138,149,79,112,102,89,139,87,130,174,165,166,166,165,164,163,162,161,66,69,72,82,102,116,126,124,168,137,128,146,80,125,113,87,156,102,128,178,168,170,169,169,168,167,167,166,66,70,73,84,104,119,127,128,174,122,124,158,87,120,112,88,164,115,123,181,172,173,173,172,171,171,170,169,68,71,73,86,107,122,129,133,176,115,111,158,82,91,102,88,159,118,114,184,175,176,175,175,175,174,173,172,70,73,74,89,109,124,130,139,180,121,89,148,88,91,101,117,143,107,109,186,178,179,179,179,178,176,176,175,70,73,75,91,112,127,133,142,186,130,71,160,152,121,122,136,122,85,100,186,181,182,181,180,179,179,179,179,70,72,75,94,114,129,135,145,183,122,103,136,126,115,119,112,108,107,86,178,186,183,184,184,183,181,181,181,70,72,76,96,116,131,136,150,186,143,135,104,97,116,118,98,116,138,109,135,194,184,186,186,186,186,185,184,70,72,77,98,118,134,137,159,193,150,122,95,107,102,124,136,154,164,152,102,156,195,186,188,187,186,188,187,71,73,79,102,121,137,138,168,195,145,110,93,108,116,150,188,163,164,168,107,91,187,191,190,189,189,188,187,71,73,80,104,124,140,139,172,197,146,105,99,114,128,168,190,194,171,135,89,81,172,197,190,190,190,196,200,71,73,82,107,127,141,143,169,201,153,105,103,120,142,174,187,190,165,120,85,85,184,194,194,202,197,170,126,72,72,83,109,129,143,144,166,198,163,117,103,127,150,181,192,183,154,117,82,97,197,198,193,144,93,56,41,71,72,86,111,131,145,147,165,196,177,135,107,130,148,186,193,170,144,113,78,113,211,181,92,41,38,44,42,70,71,87,113,132,145,148,162,187,180,147,115,127,149,186,186,165,136,106,71,143,178,74,50,51,30,46,45,69,70,87,114,134,145,148,159,175,178,154,127,129,147,182,176,157,127,99,76,107,64,33,46,60,30,29,52,69,70,89,116,136,147,150,161,168,176,160,138,136,134,173,164,149,116,92,74,63,53,47,27,50,46,19,38,64,65,87,116,138,149,153,163,169,172,161,142,139,125,153,152,134,104,85,67,71,57,46,28,30,55,25,23,79,79,95,119,136,147,153,162,171,171,161,147,140,127,129,143,123,97,76,62,71,59,39,32,21,42,40,16,104,105,104,102,105,111,114,118,119,131,169,151,143,129,117,131,116,91,66,58,68,49,48,30,20,29,47,20
24,161,164,167,171,172,174,176,178,180,180,181,181,181,182,182,183,182,183,184,183,183,184,183,183,182,181,180,180,163,167,170,173,175,177,179,181,181,182,183,183,184,184,185,185,186,186,186,186,186,186,186,186,184,183,183,182,165,168,172,175,178,180,182,183,184,185,185,186,187,187,187,188,187,188,187,187,187,188,188,188,187,186,185,185,167,171,175,178,181,183,184,186,187,187,187,188,188,189,190,190,190,190,189,190,190,190,191,190,189,188,188,186,169,173,176,180,184,185,186,188,188,189,190,191,192,192,192,192,192,193,193,193,193,192,193,192,191,190,189,188,155,146,180,183,185,187,188,190,190,191,192,193,193,193,194,194,195,195,195,195,195,195,195,194,194,192,192,191,143,106,177,185,187,189,191,193,193,193,195,195,195,196,196,196,198,198,197,197,198,197,197,198,197,194,194,194,138,95,173,186,190,191,193,195,195,197,197,189,185,196,198,199,199,199,199,200,199,199,199,192,178,153,159,196,127,84,173,190,191,190,194,193,173,170,193,169,141,150,198,201,199,200,201,201,201,200,192,166,138,103,144,198,119,82,172,192,187,160,161,193,159,132,168,175,152,124,171,203,201,201,201,202,203,201,190,155,104,127,193,200,131,90,163,195,199,169,150,185,172,153,152,184,171,140,139,202,203,203,203,204,202,198,181,129,107,190,203,201,144,108,155,195,207,199,170,160,189,172,142,165,182,147,118,192,205,205,205,205,201,193,158,98,143,205,204,203,168,154,166,190,192,206,190,144,162,187,154,131,173,134,94,182,208,206,201,193,191,169,114,106,192,207,204,203,185,183,178,186,178,172,190,131,109,185,163,106,114,103,80,162,187,186,176,166,162,122,98,179,210,208,206,206,183,193,187,185,183,169,162,122,86,138,135,85,55,85,113,157,180,181,163,139,118,91,158,211,210,208,208,207,187,197,188,184,180,163,150,128,100,86,94,67,61,122,177,193,191,176,147,116,94,126,208,212,210,209,210,208,189,196,187,162,163,158,146,137,120,103,105,108,148,181,196,194,180,160,127,92,93,189,215,212,212,211,211,210,190,194,194,175,151,151,168,158,150,134,132,171,198,199,195,184,167,141,104,81,149,215,215,214,214,213,212,211,191,194,203,201,173,150,152,166,182,184,187,207,205,199,188,171,147,115,84,128,210,215,215,215,214,213,213,213,190,193,199,207,189,164,149,159,176,200,208,208,206,197,177,150,121,90,100,197,217,216,215,215,215,214,214,213,191,195,195,204,206,181,161,161,179,204,212,213,209,188,157,127,98,81,163,216,216,216,215,215,214,214,213,212,192,196,197,207,217,206,179,174,184,210,221,214,198,166,133,103,80,114,209,217,216,216,215,215,214,214,213,214,192,195,198,199,210,217,196,183,187,206,215,203,176,141,110,85,78,176,218,218,219,218,217,217,215,215,208,201,193,195,199,193,189,204,196,187,186,190,191,184,158,121,89,69,114,213,218,218,219,219,217,218,217,207,198,147,182,186,190,192,179,185,189,184,177,165,162,167,147,109,80,69,164,220,220,219,220,220,219,218,203,193,209,180,116,120,121,126,128,162,185,174,161,148,149,157,137,109,84,75,150,179,182,185,188,194,197,198,201,183,179,134,102,102,102,102,102,128,172,150,143,144,157,165,137,116,97,75,96,107,107,108,109,112,123,179,210,182,167,133,104,106,111,110,108,112,155,143,149,160,165,168,139,114,104,79,97,112,113,113,110,112,144,155,197,197,117,153
19,182,186,189,192,196,198,200,202,202,203,204,203,204,203,204,204,204,203,202,202,202,201,200,197,205,209,180,227,185,189,194,196,198,201,204,205,207,207,208,207,207,209,207,207,207,206,205,206,205,205,204,199,215,174,172,230,189,192,196,200,202,205,207,210,211,212,212,212,213,207,214,212,211,210,210,210,209,208,208,206,206,210,223,228,192,197,200,203,207,209,212,213,213,215,213,225,222,169,170,219,213,213,213,212,212,211,210,209,206,214,209,184,195,200,203,207,210,213,216,216,218,219,215,239,220,163,129,207,221,216,216,215,215,215,213,212,210,210,196,187,201,205,208,211,215,218,219,220,222,224,220,242,220,175,125,181,229,218,219,218,218,218,216,215,214,213,209,211,203,207,211,214,218,221,222,224,224,227,224,243,226,186,129,157,234,221,222,221,221,221,219,218,216,216,211,215,206,209,213,218,222,223,225,227,229,231,228,245,224,177,119,132,238,229,229,226,225,225,223,221,219,218,216,219,209,213,218,221,223,227,229,230,232,235,232,245,219,177,151,170,208,203,213,217,219,219,224,228,227,224,220,221,211,216,220,223,226,230,233,236,235,233,229,235,225,219,223,225,194,167,187,201,187,178,184,185,203,214,221,226,213,217,222,225,229,232,227,209,211,226,227,235,231,234,230,213,196,179,191,209,194,190,188,172,201,201,186,224,216,219,224,228,229,246,228,205,213,218,217,218,216,210,205,193,179,152,151,171,179,182,184,171,180,189,161,209,217,220,225,230,233,253,228,216,211,197,200,206,202,199,200,196,187,138,174,188,187,181,174,170,173,193,108,190,219,223,227,230,238,230,185,175,186,195,211,213,205,205,202,201,196,156,212,255,246,242,239,235,245,209,92,141,220,224,229,231,249,213,186,181,184,193,198,195,200,202,199,199,182,137,202,250,240,241,240,239,249,142,102,100,221,225,229,234,242,198,198,199,195,185,159,166,185,174,161,168,152,128,235,245,246,252,251,244,204,111,106,106,223,226,231,235,243,232,213,190,181,188,193,189,186,180,173,168,156,146,252,255,239,206,164,124,103,104,106,107,223,228,233,235,247,255,231,189,165,184,192,191,190,188,181,172,169,145,197,174,104,90,97,91,93,101,101,104,224,229,232,237,248,255,232,191,177,171,162,164,171,170,161,155,150,136,92,76,88,81,87,84,99,98,96,100,225,231,232,239,247,246,241,200,182,164,146,149,163,164,155,149,136,115,93,91,94,88,81,78,90,93,89,96,226,231,233,243,251,253,252,214,179,155,171,180,177,172,162,155,134,85,83,97,87,85,86,85,79,83,84,90,226,231,232,243,253,253,255,223,177,152,164,171,167,158,145,139,132,84,72,88,90,86,77,79,85,84,84,85,225,231,230,237,253,249,238,200,174,164,164,171,170,153,140,145,124,86,77,77,87,89,80,68,78,80,90,90,225,231,232,237,250,242,228,195,175,172,164,166,151,133,142,146,83,79,84,75,76,89,88,72,70,73,84,87,224,230,230,237,245,241,219,192,171,173,167,150,121,112,123,110,64,67,78,75,75,79,90,81,66,72,70,68,228,233,230,235,239,233,198,172,176,201,168,119,112,84,48,76,84,64,70,76,75,77,80,88,71,68,70,67,217,221,222,239,234,222,196,177,192,195,157,117,110,75,42,59,84,78,68,76,71,72,74,79,80,62,68,66,152,148,205,245,232,221,202,197,203,184,151,124,97,88,49,48,71,84,75,72,70,64,71,71,79,68,61,67
6,175,175,176,177,178,179,179,179,179,180,181,181,180,180,177,177,177,178,177,176,175,174,174,172,170,171,169,168,175,177,177,179,179,180,182,182,182,182,183,182,182,182,179,178,178,178,177,178,176,176,176,175,172,171,173,171,177,180,180,181,181,182,183,183,183,183,183,182,183,183,180,180,180,179,178,179,177,177,177,176,174,173,173,172,178,180,182,181,183,184,183,183,185,184,184,184,182,183,182,182,183,181,179,180,177,178,177,178,176,173,174,172,180,182,183,182,184,186,186,187,187,187,186,186,184,185,183,183,181,182,183,181,181,181,179,171,170,181,172,172,180,182,183,183,185,187,187,187,188,188,186,185,186,186,185,185,186,186,183,180,176,165,163,139,178,209,155,163,182,183,184,186,189,189,189,189,188,189,190,190,188,186,182,178,169,160,163,169,164,155,156,140,158,173,128,164,184,185,186,188,191,192,191,190,189,189,184,183,182,176,161,152,127,136,144,164,152,139,116,102,98,117,155,179,185,187,188,191,191,194,194,192,191,184,153,150,136,147,163,153,142,113,123,120,100,84,87,111,140,170,181,177,187,190,190,192,192,195,195,191,186,175,161,162,127,79,110,108,92,70,80,89,117,141,174,188,187,183,179,178,190,191,192,195,196,195,191,171,175,177,180,166,111,63,47,45,50,81,132,178,192,193,186,184,184,183,181,180,193,194,195,197,193,186,180,171,165,170,178,148,92,60,49,56,142,178,197,194,190,188,188,188,186,184,182,182,194,194,193,190,185,180,175,168,157,166,165,156,135,75,52,54,174,203,188,193,192,192,192,189,186,184,184,184,194,192,191,186,181,171,169,166,160,162,166,171,152,90,56,50,65,197,194,194,192,192,192,190,189,186,186,185,188,190,193,185,174,169,169,168,164,165,167,163,148,100,54,58,42,125,210,194,194,194,192,191,190,189,188,187,201,203,195,184,175,170,167,169,166,160,165,166,162,129,62,50,55,55,186,201,195,195,193,191,191,190,189,187,209,205,188,179,181,171,166,166,169,170,173,173,164,125,68,51,49,43,181,203,196,197,196,194,193,192,191,189,203,193,183,185,178,170,166,165,165,156,154,151,135,105,74,58,39,114,213,196,198,197,196,196,194,193,192,190,207,189,178,181,167,165,170,162,157,144,136,133,117,95,80,69,39,111,217,198,201,198,198,197,196,197,194,192,209,199,175,161,161,167,171,166,155,144,134,134,120,88,79,80,60,47,190,208,202,199,199,197,196,197,195,192,191,193,164,147,151,161,161,158,146,131,113,107,86,71,73,87,62,47,191,209,204,202,199,197,197,197,195,194,72,131,138,126,136,148,147,136,120,105,91,78,39,52,74,81,54,142,214,205,205,204,201,200,198,199,197,196,26,38,83,102,114,129,123,106,85,70,60,54,46,63,76,85,165,215,206,206,206,204,203,200,199,199,198,197,31,30,26,38,53,76,88,79,90,118,146,113,91,96,138,193,216,208,208,206,206,205,204,202,202,200,198,197,24,27,25,1,0,9,15,23,191,223,221,218,210,212,218,214,211,211,209,207,206,207,206,204,203,202,198,197,20,18,30,18,0,2,0,81,224,211,213,212,213,212,210,211,211,209,208,210,207,206,205,204,203,201,199,198,17,15,24,24,0,0,0,176,224,211,215,214,212,213,212,212,210,210,209,209,207,206,205,204,203,201,199,199,14,12,25,26,0,0,61,225,211,214,214,214,214,214,213,213,212,211,210,210,208,208,206,205,204,202,200,199
7,139,144,149,154,159,161,164,166,168,170,172,172,172,172,172,172,172,172,171,170,169,169,168,167,166,164,163,162,140,146,151,156,159,161,165,168,169,170,174,174,176,175,174,174,175,174,172,172,171,170,170,170,168,165,166,164,141,147,153,158,161,164,167,170,172,172,174,176,177,176,176,176,176,175,174,174,174,172,171,170,169,167,167,166,144,150,154,160,164,166,168,172,174,174,176,178,178,178,178,179,178,177,177,175,176,175,173,171,172,169,169,168,146,152,156,161,165,167,171,174,174,177,178,180,181,180,180,180,181,182,181,178,173,173,173,175,173,171,171,170,147,153,157,162,166,170,171,174,175,179,179,181,184,186,184,181,177,171,168,146,165,197,149,172,177,174,172,170,149,154,160,164,168,171,173,177,178,179,181,181,176,166,160,162,159,146,147,132,155,175,119,167,175,173,176,173,151,155,162,167,169,172,175,177,177,177,170,157,142,120,133,150,154,130,118,108,101,121,126,185,197,124,175,176,153,158,164,169,172,174,170,149,144,145,144,144,135,124,107,112,98,99,124,127,125,132,147,173,167,101,174,178,153,159,165,169,175,180,162,144,145,137,126,128,132,117,103,97,116,150,170,151,138,130,111,93,109,153,182,177,154,160,164,171,184,173,155,151,144,114,114,138,151,132,126,116,115,133,138,117,94,81,98,134,169,186,180,179,155,160,170,178,167,162,162,158,123,81,103,118,122,109,107,104,83,89,79,85,113,152,187,191,187,182,181,180,155,167,177,171,168,165,154,157,134,90,86,72,60,51,52,62,73,103,147,178,195,194,187,185,184,184,182,181,172,178,175,175,172,155,150,147,149,127,78,52,27,80,140,148,173,195,199,193,189,188,190,190,188,186,186,184,181,176,171,167,157,151,152,152,150,124,85,60,53,78,169,209,196,195,193,193,192,191,189,189,189,188,187,186,181,173,160,154,148,144,137,133,125,104,79,53,59,54,36,139,204,194,196,194,194,193,191,190,189,189,188,188,174,160,152,144,137,131,126,119,116,105,77,45,49,73,53,65,202,197,197,196,195,195,194,193,191,190,189,188,166,161,144,139,130,127,126,124,124,122,83,46,38,61,57,74,206,197,198,197,197,196,195,195,193,191,189,188,78,139,142,137,131,127,123,122,124,113,77,51,50,33,37,44,157,209,196,198,198,196,196,196,195,192,190,189,14,36,113,145,137,131,121,112,101,84,67,63,60,47,35,29,133,215,197,200,199,197,197,196,195,194,192,191,24,10,17,105,144,128,118,106,95,78,68,61,65,49,67,110,191,206,201,202,201,200,199,197,196,196,194,193,17,15,8,13,102,112,95,82,77,57,38,52,56,57,188,214,205,204,204,203,202,200,199,198,197,195,195,193,12,10,8,2,20,63,62,67,54,23,22,37,69,172,214,201,204,205,205,203,202,201,200,199,198,196,196,194,7,4,2,6,0,0,10,170,135,47,78,122,192,213,205,206,206,206,205,203,203,203,202,199,199,198,196,195,0,0,0,6,2,0,150,209,203,196,203,214,209,206,208,206,206,206,206,205,204,204,204,201,200,199,197,196,33,0,0,11,0,138,210,194,201,206,205,204,207,209,209,208,206,209,208,206,206,204,204,202,201,200,197,197,21,28,7,0,46,206,191,198,201,202,204,206,207,209,209,208,207,207,207,205,205,204,203,202,201,199,198,197,0,11,8,0,76,208,191,198,199,201,204,205,206,205,205,207,207,206,206,205,204,203,203,202,200,197,198,197
2,161,161,162,162,162,162,161,161,161,159,157,157,156,156,154,155,155,151,150,150,149,147,147,144,143,141,140,139,163,163,164,163,163,163,163,162,162,161,161,159,159,157,155,156,157,153,154,153,151,148,147,146,145,142,140,139,164,163,164,164,164,163,164,164,163,162,162,162,161,160,157,158,158,157,156,154,153,150,147,147,146,145,142,138,166,165,166,166,165,165,166,165,164,164,164,162,158,155,156,153,152,158,158,157,156,152,149,148,146,145,144,140,168,168,168,167,167,167,167,166,165,166,163,171,165,149,151,147,128,132,137,141,144,148,152,151,147,146,145,143,169,170,169,169,169,168,168,168,168,165,176,199,191,185,185,183,164,136,109,94,93,129,141,146,149,147,146,144,170,170,169,169,169,169,170,169,169,159,162,176,169,161,164,171,167,162,137,98,102,131,102,112,156,147,146,145,170,171,171,171,170,170,172,167,173,185,174,178,182,168,151,137,114,124,144,138,156,115,73,130,155,148,147,146,172,173,174,172,173,172,170,174,199,188,178,176,180,176,166,159,126,131,136,114,119,90,109,159,152,152,150,147,173,174,174,175,174,173,171,197,184,139,124,139,151,140,138,173,136,123,137,80,101,123,153,157,153,151,151,149,174,174,175,175,174,174,192,195,152,154,169,173,173,155,152,162,105,81,101,114,162,162,160,161,158,153,151,152,175,174,176,176,176,178,201,174,173,194,197,170,143,130,112,106,120,154,156,164,164,166,155,134,124,145,156,151,175,175,176,177,176,185,188,187,186,169,143,119,86,72,48,97,178,168,170,164,166,132,84,67,65,77,144,155,176,177,177,176,177,186,191,198,164,118,88,64,56,51,40,53,169,168,165,172,124,62,69,79,84,60,126,159,176,177,178,175,173,193,205,176,132,90,61,49,50,46,48,34,94,182,177,147,66,74,86,92,83,90,149,155,176,177,179,174,170,211,198,145,97,73,57,46,49,49,49,48,41,98,156,98,63,92,92,80,107,147,156,154,177,178,179,172,181,216,175,120,85,76,52,44,50,48,49,52,55,37,45,72,75,88,79,105,161,159,155,154,179,179,180,171,182,197,151,107,85,67,44,49,52,57,59,62,67,63,45,74,81,77,81,151,164,159,157,155,177,178,179,170,178,188,145,104,78,59,46,50,58,66,69,74,78,81,64,75,84,74,111,169,161,161,159,156,175,176,179,164,181,190,145,105,77,64,47,51,63,75,80,84,89,93,79,71,86,73,141,168,161,161,158,155,177,177,181,156,182,183,140,108,84,71,55,52,66,82,93,97,100,98,88,73,78,121,163,162,161,158,153,154,178,178,184,159,180,176,137,109,86,77,66,54,71,89,96,98,102,96,82,80,132,165,164,162,159,159,178,195,177,178,182,159,174,173,140,112,92,85,73,56,71,90,95,96,95,92,74,118,173,164,164,162,180,185,216,218,176,177,182,159,171,168,135,111,99,89,75,59,75,84,87,88,85,76,97,160,167,166,160,206,238,203,190,221,180,182,185,164,168,165,130,112,96,86,76,66,79,78,80,81,75,100,160,173,172,161,194,235,221,234,194,191,149,149,154,141,166,163,131,111,91,84,79,75,78,78,75,79,103,146,156,154,143,188,228,230,217,209,228,179,75,77,74,89,180,157,126,101,89,86,84,78,71,78,81,68,71,71,74,60,138,235,226,230,212,194,216,213,76,80,71,121,180,151,125,97,88,86,83,79,70,78,77,68,68,70,59,111,236,226,227,233,204,183,210,212
11,107,111,116,122,125,129,132,136,138,140,141,142,144,147,146,146,146,146,146,146,146,145,143,147,115,94,130,166,109,113,118,123,127,131,133,136,139,141,143,142,158,134,145,146,146,146,145,146,145,144,142,147,121,108,131,169,112,116,122,127,130,133,136,140,142,144,145,142,176,116,130,151,146,147,147,146,145,144,143,141,132,168,162,165,115,120,126,131,135,139,142,145,147,148,149,146,188,123,109,156,148,149,148,147,147,146,145,139,156,142,163,166,120,124,130,135,139,144,147,150,152,153,154,153,191,119,101,160,153,152,152,151,150,150,148,148,150,123,172,166,123,128,136,141,144,148,152,155,157,159,159,160,190,112,107,165,157,159,157,157,155,154,153,149,152,167,161,166,126,131,140,147,150,153,157,160,163,164,164,169,196,108,114,171,162,163,162,162,160,158,156,154,154,141,130,168,127,134,144,151,155,159,163,165,168,170,166,187,199,88,129,177,167,167,167,166,165,163,161,158,158,150,150,166,130,138,149,155,158,163,168,171,172,175,170,194,182,88,145,181,172,172,172,171,170,168,165,163,162,158,163,171,133,141,152,159,163,167,171,175,177,176,190,192,113,81,154,184,176,176,175,175,174,172,170,168,166,162,165,181,136,144,156,162,167,171,175,178,178,180,180,183,119,81,162,186,180,180,180,180,178,176,174,172,170,166,166,182,139,148,159,165,169,174,178,183,201,198,107,105,138,93,167,189,184,184,184,183,182,180,178,177,173,171,173,181,142,151,161,168,172,175,181,170,189,185,117,84,131,105,152,195,186,187,187,186,184,183,181,178,178,166,155,185,143,153,164,171,173,180,203,155,94,127,150,97,112,106,133,199,188,190,190,189,189,187,186,182,191,116,90,189,145,156,167,170,183,204,193,170,131,90,135,113,89,112,106,196,192,194,193,190,185,174,160,158,155,83,67,95,148,159,167,183,205,170,131,156,169,108,93,104,82,125,101,182,202,194,187,180,185,167,147,145,126,84,72,64,149,161,168,203,192,137,102,94,159,115,79,97,73,140,137,140,188,186,192,190,182,158,134,115,97,76,69,69,151,162,171,200,173,122,97,66,131,122,82,108,66,107,146,95,151,192,194,170,134,106,73,57,66,62,65,68,152,163,169,191,157,111,91,73,103,130,89,122,86,113,137,126,164,176,151,108,82,63,54,56,57,57,58,66,153,165,170,191,174,129,103,86,86,111,106,129,113,172,149,122,141,125,86,55,62,68,54,53,54,55,63,39,153,165,171,195,179,135,114,94,92,103,141,172,177,173,135,112,109,59,54,57,50,64,64,48,47,53,53,34,153,165,171,196,183,151,125,99,104,114,177,203,191,155,118,100,67,53,42,62,50,49,64,58,44,44,44,46,153,165,172,192,184,159,128,107,114,121,183,190,164,134,110,71,32,61,48,45,60,49,51,59,52,42,44,44,157,169,179,187,179,166,134,121,120,123,167,180,149,117,100,69,29,44,62,43,52,58,47,48,56,44,43,43,129,137,141,153,179,170,140,133,121,122,152,169,143,113,79,61,42,30,59,56,43,52,54,43,48,50,37,43,106,107,102,117,179,166,146,139,121,112,142,145,123,91,42,51,55,24,46,59,51,47,50,46,41,49,40,34,112,113,110,124,183,170,151,138,121,106,123,116,94,58,31,43,63,30,32,58,54,50,47,44,38,41,44,33,111,112,112,116,180,171,145,131,118,108,113,105,56,44,41,36,62,43,23,47,57,48,46,45,41,39,36,38
0,167,165,166,166,167,166,165,164,165,166,166,166,166,165,164,164,163,162,162,160,158,157,157,157,155,153,153,153,170,169,169,169,169,169,169,169,169,169,168,168,168,167,166,166,164,163,163,162,162,160,159,160,158,156,155,154,172,172,171,172,172,172,172,172,171,170,169,170,170,168,169,168,166,164,165,163,163,161,162,161,158,156,155,155,172,173,173,173,172,172,172,172,172,171,172,172,170,169,171,169,168,168,167,163,164,164,162,162,161,160,159,156,173,173,173,173,173,172,172,173,173,173,174,174,173,172,172,175,171,170,173,171,166,165,165,164,163,162,160,160,176,175,176,174,173,174,173,173,174,174,174,174,172,174,167,149,168,176,150,146,173,139,133,171,163,163,162,162,176,176,176,176,175,175,174,174,174,174,175,178,180,171,126,81,78,132,102,69,95,143,70,164,167,164,164,160,177,177,177,177,177,177,178,178,179,182,178,152,124,138,122,89,35,43,108,72,30,141,69,118,182,162,166,162,177,178,179,179,178,177,176,177,156,155,165,129,65,41,117,98,68,54,110,79,33,115,108,41,153,174,163,165,179,180,180,180,179,179,175,162,115,61,140,123,78,27,106,108,83,51,118,84,23,81,125,55,51,151,170,165,180,180,180,180,179,180,163,154,123,67,122,132,92,42,100,115,72,47,125,87,17,34,130,95,37,70,184,163,180,181,182,181,183,177,148,145,137,91,103,142,91,46,75,118,68,29,95,70,7,37,137,106,27,81,185,165,183,183,182,182,183,171,133,123,136,101,84,133,84,43,55,117,67,0,22,22,0,95,145,97,13,140,178,167,185,184,181,182,181,165,154,107,116,96,49,112,92,54,16,51,24,0,0,0,49,139,137,65,42,180,170,172,186,185,183,184,178,157,132,72,82,49,0,73,83,45,0,0,0,46,97,77,115,140,114,28,98,187,170,172,185,186,186,188,174,154,141,98,61,19,0,7,32,0,0,14,96,141,138,123,99,122,86,4,149,181,172,173,186,187,186,190,172,158,156,127,81,57,38,41,52,58,84,125,147,139,130,124,79,78,41,18,183,175,175,173,187,188,186,190,169,158,165,133,101,77,65,77,110,141,151,156,156,142,123,109,59,39,0,109,191,175,176,173,187,187,186,190,171,150,165,138,109,74,76,86,141,156,159,162,155,129,108,91,47,0,66,190,177,178,177,176,186,187,186,188,177,139,155,141,117,89,84,106,158,162,158,161,141,112,89,71,3,35,187,180,178,179,180,177,186,187,186,186,186,143,151,148,124,111,97,122,155,161,159,146,117,99,75,32,3,166,184,178,178,178,178,176,187,187,186,186,193,154,137,151,140,124,98,126,152,152,149,127,97,78,52,0,126,191,175,179,178,177,176,174,187,188,188,186,190,172,131,146,138,118,97,117,142,134,123,101,73,54,0,81,196,177,181,179,178,177,176,175,188,187,188,188,189,186,140,141,128,110,97,108,131,118,101,77,50,0,45,190,182,183,181,179,179,179,178,177,187,187,187,189,190,184,148,142,120,101,97,102,123,109,79,60,1,36,185,185,183,184,183,181,180,180,179,178,186,186,186,186,189,174,147,138,128,125,119,107,115,104,66,24,3,177,189,183,184,185,183,181,181,180,178,177,191,191,191,190,194,151,146,148,142,137,123,110,109,88,46,0,91,202,181,187,185,184,185,183,182,182,177,175,147,151,155,159,163,134,150,159,148,134,123,112,93,60,32,0,145,191,185,187,187,185,183,182,181,180,178,176
1,148,150,150,150,151,151,151,151,152,151,151,151,151,150,150,152,142,128,146,144,145,143,141,140,140,139,137,135,152,152,153,154,154,154,155,155,155,154,154,154,154,155,145,143,151,89,142,155,146,146,144,143,142,141,139,137,155,156,157,157,158,157,158,158,158,158,157,158,156,162,149,99,150,86,96,123,151,148,147,146,146,144,142,140,159,160,160,160,161,161,160,161,160,160,161,160,158,168,141,94,149,76,62,80,136,155,150,148,147,146,145,142,162,162,162,162,164,164,163,163,163,164,164,166,165,172,120,98,147,62,90,94,115,162,151,151,150,149,147,145,165,165,166,165,165,166,166,166,165,164,168,147,150,174,103,111,151,68,110,99,102,165,153,154,153,151,149,147,169,168,169,169,169,170,170,169,167,167,170,137,106,175,102,128,141,65,118,102,101,167,157,157,154,152,152,149,171,171,171,172,172,172,172,171,172,170,173,126,103,164,92,142,118,66,136,111,102,170,159,160,157,155,154,152,173,174,174,174,173,173,173,172,173,172,175,103,118,143,91,153,115,90,157,102,102,172,161,161,159,158,156,154,176,176,176,176,176,176,175,176,176,176,175,96,125,145,100,158,120,96,157,94,104,175,163,163,162,160,159,157,177,177,178,178,178,179,178,177,177,179,166,85,129,154,92,155,116,81,153,106,115,177,164,165,164,162,160,159,180,178,179,180,179,180,179,179,178,182,158,77,138,140,71,142,92,81,161,103,117,179,167,167,166,165,163,160,181,181,181,181,181,183,182,182,181,184,162,81,131,128,81,148,89,94,156,95,115,181,169,171,168,167,165,163,182,183,183,183,183,183,183,183,182,185,146,86,139,132,132,150,127,98,119,97,119,182,171,173,170,168,166,165,183,184,184,184,184,184,184,184,184,180,145,143,131,110,122,125,130,115,99,91,94,178,172,172,172,170,168,166,185,185,186,185,185,185,185,185,184,180,162,133,104,97,108,126,130,110,99,105,77,161,179,173,173,172,169,167,186,186,186,186,186,186,187,187,187,182,148,107,93,96,111,142,134,120,148,140,81,133,187,175,175,173,172,170,188,187,188,188,188,188,189,189,185,177,143,98,97,107,120,147,155,154,135,151,108,108,188,176,176,174,172,171,188,189,190,189,189,190,189,191,181,174,151,103,86,110,134,155,165,175,125,149,129,84,177,179,177,175,174,172,190,190,190,190,190,191,190,193,177,173,160,115,80,111,140,157,163,166,149,133,100,68,175,181,178,178,176,173,191,191,190,191,191,192,191,194,174,171,164,127,93,96,140,168,168,164,137,124,73,88,190,179,179,178,177,176,190,191,191,191,192,193,192,196,175,160,158,128,102,94,150,179,175,163,128,101,60,142,192,180,181,179,179,177,190,191,191,192,193,193,192,196,182,154,148,131,109,104,158,173,158,142,113,79,72,185,184,183,182,180,179,178,190,191,191,191,192,192,192,194,189,160,151,136,117,113,158,165,150,124,99,58,115,196,182,184,182,180,178,178,190,191,192,192,192,193,193,193,195,163,150,146,126,113,148,150,136,106,75,55,172,188,184,183,181,179,177,176,191,192,192,192,192,194,193,194,196,170,154,146,126,112,131,125,103,79,41,124,195,183,185,184,182,178,176,176,191,191,192,193,193,193,193,194,191,169,159,146,128,115,117,108,79,46,116,197,187,187,185,184,183,182,185,175,191,191,191,193,193,193,194,197,179,163,166,150,144,127,107,94,52,80,200,189,189,188,186,184,183,170,141,93
14,142,144,144,144,143,145,145,145,145,144,144,144,144,145,144,142,142,140,139,138,137,137,136,135,134,133,131,129,145,146,146,147,147,147,147,148,147,146,147,147,147,147,146,145,145,142,142,141,139,140,139,137,136,135,133,132,148,148,149,149,149,148,149,149,148,148,149,149,149,148,150,151,148,146,146,147,144,142,140,141,140,139,136,135,150,152,150,151,153,153,152,152,152,151,151,153,152,151,142,132,142,145,142,139,139,145,149,140,142,141,140,139,153,154,153,154,154,154,154,154,154,153,155,155,153,147,131,111,119,123,117,122,116,86,121,155,143,142,141,140,155,155,156,156,156,157,156,156,157,155,154,135,130,142,147,143,138,122,81,92,112,84,55,105,152,147,143,141,157,157,158,158,159,159,157,158,159,157,155,154,150,155,155,146,138,127,108,77,88,101,73,67,105,136,146,143,159,159,159,159,160,160,159,159,159,157,157,144,126,118,107,92,69,72,107,111,111,118,72,79,100,73,143,150,160,160,161,162,161,162,162,160,161,161,155,125,121,124,97,68,51,52,49,77,94,77,47,33,62,35,61,149,162,162,162,162,162,163,162,163,160,144,146,156,153,137,116,98,98,125,71,118,136,109,133,90,36,31,26,74,165,165,164,164,164,164,165,166,159,147,151,145,133,104,84,78,76,67,77,160,165,165,160,172,123,25,43,48,166,166,165,166,166,165,166,167,155,148,141,111,80,32,15,18,16,50,154,163,159,159,159,156,68,54,69,64,166,167,167,167,167,167,166,165,155,145,98,50,20,11,16,20,5,108,177,159,163,159,171,104,53,86,78,52,167,169,169,168,170,169,170,164,158,139,82,32,21,23,26,33,18,126,172,163,163,166,148,63,76,83,70,41,170,170,170,170,171,170,171,164,156,134,84,28,26,26,24,26,18,151,170,165,163,175,96,52,75,76,46,86,172,171,171,172,172,172,174,163,157,121,55,26,39,25,22,23,7,128,186,163,172,147,60,57,63,64,39,144,173,172,173,172,173,174,171,160,156,117,67,51,37,23,24,20,7,25,119,173,170,72,65,71,62,32,101,170,174,175,174,174,173,175,169,159,160,131,82,54,31,25,30,29,30,30,24,84,84,45,70,71,47,68,169,160,174,176,176,175,174,176,169,156,159,125,82,59,32,27,36,43,46,51,56,53,41,57,68,57,47,152,169,162,176,177,176,175,175,176,169,150,154,126,99,61,27,29,38,51,52,57,63,73,70,52,74,42,111,177,163,164,175,176,177,176,175,179,170,145,150,134,99,60,37,26,40,56,58,57,63,77,77,63,49,51,165,170,168,166,175,176,177,178,177,180,170,149,157,135,107,77,47,26,41,59,60,62,70,82,82,69,33,109,180,168,168,167,178,177,178,180,179,181,169,151,160,134,104,73,54,29,37,62,62,66,76,83,78,50,65,179,171,171,169,168,180,180,181,180,180,182,168,153,156,125,98,77,58,37,31,63,61,66,79,79,72,31,116,184,170,172,170,168,179,179,180,180,178,183,166,151,153,120,93,81,62,44,29,54,61,65,74,72,54,41,167,175,172,172,171,170,178,178,179,180,179,183,163,145,149,117,94,82,60,45,30,46,62,60,63,63,23,112,187,173,174,172,172,170,179,179,180,180,179,184,164,140,139,116,93,72,55,45,33,40,56,56,56,33,67,178,173,173,173,172,170,169,180,180,181,181,180,184,161,138,132,113,88,69,56,45,35,40,49,52,37,53,170,179,174,173,174,173,171,169
13,185,187,189,191,192,194,195,197,198,200,199,198,199,199,199,200,199,200,200,199,198,197,198,197,196,196,195,195,186,187,190,192,193,195,196,199,199,199,201,200,200,201,200,201,201,200,201,200,199,199,199,199,196,196,197,197,187,189,192,193,195,196,198,200,201,200,201,201,201,202,202,203,201,200,202,201,199,200,200,199,199,198,198,198,189,191,194,195,196,197,200,201,201,202,202,203,204,203,205,204,203,202,200,201,204,202,200,199,200,201,200,199,189,191,194,196,197,199,200,202,202,203,204,204,205,206,202,203,201,204,213,188,157,191,205,203,204,200,201,201,190,192,195,197,198,200,201,202,203,204,205,205,204,195,215,216,171,173,232,191,129,136,202,180,193,204,201,201,192,194,197,199,199,200,202,203,205,206,203,211,209,162,181,229,178,151,224,189,136,98,176,153,127,204,204,203,193,195,197,199,200,201,202,205,206,205,206,237,219,181,134,215,187,146,220,180,129,104,180,165,102,180,210,202,194,196,197,199,202,204,204,206,209,204,222,238,229,193,133,197,194,129,205,189,114,138,207,168,94,160,214,200,194,197,199,200,203,205,207,207,207,208,234,204,223,195,125,173,197,121,208,207,126,120,153,120,86,162,215,202,195,198,200,202,203,205,206,207,204,220,235,208,220,179,118,170,186,117,136,170,114,100,144,139,97,170,215,204,196,199,200,202,203,206,207,205,216,239,219,193,212,160,119,193,170,131,65,66,69,144,197,196,126,178,214,206,198,200,201,204,206,206,209,204,226,242,209,174,192,162,122,198,176,129,63,116,146,182,195,194,141,178,215,206,199,201,202,205,207,207,210,206,233,237,211,179,159,167,108,208,220,127,132,224,211,187,162,153,128,150,217,207,200,201,203,206,208,209,212,210,243,235,217,202,174,141,106,177,190,166,223,219,196,178,154,131,118,122,212,210,200,202,205,206,209,211,210,213,249,234,218,204,192,158,153,155,198,227,226,208,188,169,145,126,113,124,215,209,202,205,206,207,211,211,210,216,249,234,217,208,195,171,158,174,232,233,219,197,175,159,136,124,103,167,219,209,203,205,207,209,212,213,212,214,246,237,220,210,199,177,164,192,230,232,215,191,165,148,129,114,112,209,214,212,203,206,208,210,212,213,213,214,245,238,224,212,199,180,178,208,220,216,202,182,162,140,125,96,140,225,212,215,204,207,209,211,212,214,214,214,244,238,221,211,194,181,195,210,196,196,185,169,153,133,105,110,200,218,213,214,205,207,211,212,213,215,217,213,245,235,227,211,192,189,205,204,185,183,167,152,138,108,122,203,219,215,215,215,206,208,211,213,214,216,216,217,251,238,234,213,200,200,211,196,180,168,152,143,112,122,211,220,216,218,217,217,206,208,211,214,216,217,211,232,255,242,238,212,206,210,204,184,168,148,143,119,116,207,223,218,217,218,218,217,207,208,211,212,216,217,212,244,244,241,235,210,208,205,194,170,150,137,125,109,191,222,219,220,219,219,219,218,207,209,212,214,217,216,217,244,228,225,221,204,201,202,180,154,142,133,105,173,227,220,221,221,220,219,219,218,208,210,212,215,218,212,220,241,221,209,206,192,199,199,162,150,141,113,131,219,223,222,220,221,220,219,218,219,208,211,214,215,220,206,231,241,212,205,201,189,193,178,152,146,127,105,177,227,224,224,221,221,221,220,219,219,209,212,214,216,217,207,246,236,200,198,202,189,179,164,146,137,108,121,209,225,224,224,223,223,222,220,220,219
22,132,139,142,146,153,158,162,166,169,172,174,176,178,179,179,179,179,180,178,177,177,177,175,174,173,171,170,170,133,140,144,147,154,159,164,167,171,173,174,179,180,181,181,182,180,181,183,180,179,179,177,176,174,173,172,171,135,142,146,150,155,161,166,170,173,187,163,144,183,182,183,182,184,168,160,183,181,180,179,179,179,175,174,172,136,144,148,151,156,163,168,171,172,205,166,110,183,184,185,184,193,154,106,182,183,181,183,165,161,178,176,174,138,145,148,152,159,164,169,173,174,211,176,109,182,186,186,188,189,142,102,187,185,185,185,137,106,180,178,176,139,146,150,154,160,165,171,175,174,209,185,114,179,189,188,189,180,129,124,191,184,190,181,127,115,184,179,178,139,147,150,155,162,168,173,176,176,214,199,124,169,192,188,184,173,114,148,192,190,195,164,100,154,186,181,180,140,148,151,156,163,170,174,178,177,212,196,125,158,195,189,178,160,100,167,191,202,193,142,110,185,185,182,181,142,150,153,158,164,171,176,180,179,210,194,127,143,197,189,186,164,97,181,196,195,166,118,148,191,186,184,183,143,151,154,159,166,173,177,180,182,204,212,153,133,197,186,185,146,107,200,215,191,134,103,184,189,188,185,185,145,152,155,160,168,173,177,182,185,196,215,154,117,193,169,166,110,129,219,214,181,112,136,196,189,188,187,187,146,153,155,161,169,175,180,184,186,189,211,141,87,157,153,167,157,187,210,193,154,96,181,195,191,189,188,187,147,153,157,162,169,176,181,184,194,169,169,131,109,160,172,176,196,198,194,164,107,126,198,194,193,191,189,188,148,154,157,163,169,177,182,187,204,168,150,134,141,144,156,179,189,188,180,133,94,185,197,195,194,193,190,188,149,156,158,164,173,180,182,197,211,180,186,174,162,114,89,149,168,180,150,104,131,206,198,196,195,194,192,191,150,157,160,166,174,179,183,204,221,188,172,174,165,143,111,84,120,131,107,88,158,206,199,197,196,195,193,193,150,157,160,167,175,179,183,216,214,178,123,115,156,166,149,112,79,85,89,82,184,205,202,199,198,197,195,193,151,157,160,167,176,181,185,221,215,177,122,76,112,175,166,142,109,86,75,79,194,205,203,200,200,198,195,194,151,158,161,169,175,182,186,223,232,184,183,102,136,203,182,150,131,106,67,63,186,207,203,201,200,199,197,195,153,158,161,169,176,183,187,225,232,183,169,110,180,220,190,156,136,109,64,57,185,209,203,201,200,200,200,197,153,158,161,168,176,183,186,224,233,185,162,168,218,196,186,151,125,98,60,72,200,207,203,202,202,202,200,197,152,158,161,168,176,182,184,217,228,199,167,192,225,182,168,166,119,90,54,106,211,204,202,201,201,201,200,197,152,158,160,169,177,183,186,211,226,207,170,199,218,181,164,162,128,80,49,141,213,204,203,202,201,202,200,197,153,158,161,169,177,185,187,204,221,209,174,183,205,176,158,149,113,70,52,177,211,206,205,203,202,202,200,199,153,158,162,169,177,185,190,183,217,203,172,155,177,152,133,120,84,56,80,207,208,206,205,202,201,200,200,199,152,158,161,169,178,186,186,80,153,195,139,127,140,139,117,93,71,58,150,217,211,209,207,205,204,204,203,201,131,135,136,140,143,148,123,56,59,123,130,137,142,152,131,92,72,65,143,154,151,150,151,151,151,151,150,149,110,110,109,111,111,103,66,56,56,54,108,136,138,145,129,86,55,43,99,101,99,98,97,96,95,94,85,70
12,188,192,196,199,202,204,206,208,208,209,209,209,210,209,209,208,209,209,209,207,206,206,204,204,203,203,200,198,190,194,198,201,203,205,207,210,210,210,211,211,211,211,210,214,212,209,210,208,208,209,208,207,206,204,202,202,191,194,198,202,204,206,209,210,211,213,212,210,212,216,211,195,206,215,212,215,211,211,211,210,209,208,205,204,192,195,199,203,206,208,210,211,213,213,219,205,174,198,228,190,152,197,208,185,210,214,212,211,210,209,207,207,193,196,199,203,207,209,210,212,215,211,240,239,206,163,188,240,190,135,166,167,153,215,214,213,211,211,210,209,195,199,201,204,208,211,214,216,213,226,239,238,232,182,121,203,210,138,105,173,135,166,223,213,213,212,211,210,197,201,204,208,210,212,215,217,211,247,212,212,235,172,115,177,196,138,97,142,144,113,217,215,214,214,212,211,198,201,206,209,212,217,216,214,220,191,158,219,215,155,105,186,184,128,105,146,132,113,219,217,216,215,214,213,201,203,208,210,215,215,218,242,231,160,115,165,198,172,98,172,211,145,106,169,135,129,226,216,218,217,215,213,203,206,210,213,214,222,247,243,232,178,118,114,204,175,85,177,229,142,117,211,138,161,229,216,218,218,216,215,204,208,213,214,219,249,219,206,239,190,120,75,167,159,61,119,216,127,106,195,145,204,224,219,219,218,217,216,207,210,216,215,237,247,214,183,221,179,121,75,88,98,78,115,141,145,152,164,114,197,230,220,220,220,218,217,209,213,216,221,238,215,187,145,195,179,124,80,83,87,168,230,191,187,167,152,129,142,233,221,222,221,220,218,211,216,219,218,241,219,191,135,165,181,120,85,92,141,206,221,212,186,152,125,141,118,214,227,223,222,221,218,215,217,222,218,243,225,197,156,141,176,149,95,118,193,218,213,207,187,149,127,121,116,221,227,223,223,222,219,217,220,223,226,248,229,207,179,134,154,170,103,185,227,223,215,212,169,142,127,91,153,239,226,225,223,220,220,219,224,223,235,252,236,214,184,156,137,139,160,228,227,231,227,196,151,138,117,94,216,232,227,228,231,233,226,221,225,226,240,249,241,223,190,177,162,148,197,214,223,233,218,173,144,136,93,140,247,237,238,220,196,159,119,223,227,228,236,242,244,228,199,192,178,158,198,198,230,230,198,161,139,126,93,214,223,181,139,99,80,74,68,225,229,232,229,244,246,230,207,204,187,163,206,201,226,220,177,150,131,110,111,143,90,72,63,65,66,70,79,228,230,236,230,238,239,226,211,205,189,172,197,219,204,193,159,138,123,101,71,61,61,67,64,68,62,60,74,231,234,238,235,231,239,227,214,201,188,179,185,208,191,167,148,128,117,77,51,61,71,58,57,66,69,53,61,231,234,239,235,226,243,228,213,199,187,172,174,195,181,156,138,122,101,77,46,50,72,65,49,57,70,63,52,233,236,241,235,230,242,220,202,193,185,166,174,188,172,138,128,110,77,83,59,39,57,72,56,47,61,68,56,236,240,244,236,231,240,204,186,191,180,165,178,177,156,126,113,74,49,73,74,38,41,63,67,47,48,63,63,237,240,244,236,229,250,206,196,203,191,176,179,167,142,123,94,68,40,57,76,52,30,49,65,61,42,53,65,239,241,250,221,216,252,215,216,222,193,174,173,158,135,116,72,67,47,45,64,65,30,35,55,67,52,45,61,240,241,255,184,180,255,229,236,224,183,175,176,154,132,106,71,58,56,35,52,69,39,27,46,65,62,46,49
13,112,121,128,130,134,140,147,151,155,157,159,162,166,169,170,172,176,177,178,179,179,180,181,179,179,179,181,182,112,122,130,133,136,143,149,152,155,158,160,164,167,169,172,174,177,178,179,180,181,180,181,182,182,181,182,183,115,126,133,134,139,145,152,155,158,161,163,166,169,171,174,177,179,176,177,178,181,187,184,184,183,185,184,184,118,129,135,136,140,146,152,156,159,162,165,168,171,173,176,177,179,192,199,183,138,160,186,184,190,185,186,186,119,129,135,138,142,148,153,158,162,165,168,170,173,176,178,183,181,202,218,183,124,86,118,137,166,193,186,187,120,130,135,139,144,149,154,160,164,166,169,172,177,175,188,168,140,144,184,188,124,76,103,134,83,169,194,188,123,132,137,139,146,151,156,161,164,168,171,174,175,187,221,184,151,108,144,194,164,83,116,136,74,153,199,188,124,134,138,140,146,152,158,163,165,170,170,182,170,134,193,218,181,128,74,174,180,87,112,147,78,168,198,190,126,135,140,142,147,153,159,164,167,167,178,212,176,116,101,214,203,154,72,89,155,83,127,167,94,185,195,192,127,136,142,144,148,155,161,165,167,175,208,206,195,154,76,153,211,144,89,32,77,55,124,147,118,203,191,194,129,138,143,145,151,158,162,166,167,202,178,171,207,171,92,95,197,130,83,32,55,90,125,117,88,186,199,195,131,142,144,146,154,161,164,164,188,216,177,148,186,155,96,73,174,135,83,37,97,143,136,117,96,130,207,194,133,141,146,149,156,162,166,167,202,195,161,134,172,125,83,50,162,166,86,82,173,166,134,93,101,93,185,201,135,143,147,151,158,166,168,176,213,188,159,115,149,114,79,24,137,165,82,156,194,161,131,101,95,79,173,206,138,146,148,151,162,169,171,180,222,199,173,125,111,119,63,37,128,172,154,195,176,147,123,98,78,90,201,201,141,148,150,155,165,172,174,186,226,205,179,141,95,94,95,145,193,205,208,187,162,132,113,95,63,143,212,199,144,151,152,158,167,174,176,193,231,216,183,145,140,143,152,179,200,198,197,179,149,127,105,81,69,192,205,202,146,153,155,161,171,177,176,197,225,219,194,160,165,150,153,189,191,202,187,166,141,120,99,66,92,212,203,204,149,156,158,165,175,181,182,197,214,221,205,177,173,151,163,201,189,192,173,149,127,108,91,51,154,217,205,206,152,158,161,169,178,184,188,188,210,219,209,187,173,155,165,193,194,171,156,134,118,105,68,109,216,209,209,208,155,161,164,171,180,186,191,188,204,212,206,195,179,166,162,180,188,163,142,123,112,89,90,210,214,211,210,210,157,164,166,174,182,187,192,195,193,213,208,200,195,183,164,172,180,157,126,112,101,77,185,221,211,214,213,211,160,165,168,175,185,190,194,199,185,213,207,200,197,182,159,164,165,146,108,105,80,140,227,213,215,217,213,215,161,168,170,178,187,194,196,201,190,210,189,173,183,174,157,157,153,134,110,92,90,211,219,218,218,214,221,209,163,168,171,180,189,195,198,203,193,211,191,175,192,187,171,148,146,129,120,76,129,224,218,219,219,231,205,96,164,168,172,182,189,194,198,203,191,213,204,186,205,190,175,145,141,128,122,70,152,226,218,223,220,171,85,49,165,169,172,183,190,195,199,204,196,208,216,204,217,194,177,151,140,128,120,68,163,228,220,220,122,51,35,40,165,171,174,184,191,196,200,207,194,194,221,211,214,191,172,155,142,130,117,66,158,230,231,157,61,60,48,20
10,161,162,163,163,163,164,164,165,164,163,164,164,164,162,162,161,159,159,156,157,156,154,153,152,151,150,148,149,166,166,167,168,167,167,167,168,168,167,167,167,166,166,164,162,162,160,163,154,152,156,155,153,152,152,150,149,171,171,171,173,173,172,173,173,172,172,171,170,170,169,167,165,165,160,183,153,119,162,156,154,154,153,153,151,175,175,175,176,177,176,177,176,176,176,175,174,174,172,170,169,168,164,189,159,107,159,158,157,156,155,154,152,180,180,180,180,180,181,180,179,180,180,179,178,178,176,174,173,173,169,190,158,106,158,164,160,159,157,155,154,184,184,184,183,185,185,183,184,184,185,184,183,181,180,179,177,176,173,191,150,102,159,169,163,161,160,159,157,188,188,187,188,189,189,188,188,189,188,188,186,185,184,182,181,180,177,197,163,106,161,173,167,165,164,162,159,192,192,192,192,192,193,193,192,193,193,192,190,189,187,186,185,183,183,203,158,136,165,175,170,168,167,164,162,194,194,195,196,196,196,196,195,196,197,195,194,193,191,190,189,185,196,199,179,159,130,183,173,171,169,167,165,197,197,198,199,199,199,199,198,199,199,198,197,197,195,193,192,187,174,179,196,150,101,184,177,174,172,171,168,199,200,201,202,201,200,201,201,201,201,200,200,199,199,197,197,195,173,152,163,164,92,142,191,177,176,173,171,203,203,202,203,203,204,203,203,204,204,203,202,201,201,197,193,208,205,172,134,125,119,88,170,185,179,175,175,205,204,206,206,207,207,206,207,207,208,207,207,208,205,178,148,142,180,188,182,140,110,93,124,194,179,179,179,207,207,208,209,209,209,209,209,209,209,209,192,167,194,196,166,110,73,175,191,126,89,82,125,196,183,182,181,210,210,211,211,212,211,210,211,211,209,208,191,155,142,209,190,146,64,72,113,119,100,78,137,199,185,185,183,212,212,212,212,214,213,212,212,213,211,206,207,194,149,172,210,160,105,62,71,171,139,81,144,201,189,187,184,213,213,214,214,214,214,214,215,214,212,182,175,200,169,127,191,169,119,74,98,171,167,91,142,204,191,190,187,214,215,215,215,216,215,216,217,214,213,194,139,159,163,86,140,178,113,80,109,161,167,90,135,205,191,191,189,216,217,217,218,218,218,218,218,217,206,184,144,123,146,97,105,181,154,100,118,159,133,82,147,206,192,192,190,218,219,218,219,219,219,219,220,216,209,205,182,129,135,134,104,165,188,127,107,144,104,82,180,203,195,194,192,219,220,219,219,220,220,220,221,218,212,219,192,153,134,132,119,172,173,113,97,130,94,100,205,199,197,196,194,220,220,220,220,221,221,220,221,222,209,218,206,174,146,139,160,215,196,144,121,123,87,132,214,199,199,197,195,222,222,221,222,223,223,224,224,225,210,207,206,184,159,151,169,212,208,181,144,119,80,164,214,201,200,198,196,222,222,223,223,223,225,226,225,227,214,198,203,191,180,163,168,206,200,165,131,108,87,196,209,203,201,200,197,221,221,221,222,223,224,225,224,226,223,197,196,199,195,169,159,195,180,151,121,87,116,216,205,205,202,200,199,221,222,222,222,223,225,225,225,225,228,206,183,194,186,168,146,169,161,133,110,70,164,216,203,204,201,199,197,222,223,224,225,224,225,226,226,226,227,223,192,189,179,164,146,151,161,133,93,100,209,207,205,203,201,199,201,223,224,225,225,225,226,227,227,227,227,223,206,189,173,165,155,146,158,128,79,159,221,206,207,204,201,203,167
7,153,158,163,168,172,174,177,179,181,183,185,185,185,185,185,185,185,185,184,183,183,182,181,180,179,177,177,176,155,160,165,169,173,175,178,181,182,183,186,187,188,188,187,187,188,186,185,185,184,183,183,182,181,179,179,178,156,161,167,172,175,177,180,183,184,185,187,188,189,189,189,189,189,188,187,187,186,185,184,183,182,181,180,180,158,164,168,173,177,179,182,185,187,187,189,191,191,191,191,191,191,190,190,188,188,187,186,185,184,182,182,181,160,166,169,174,178,181,183,187,187,190,191,192,193,193,193,192,193,193,192,188,187,188,185,187,186,184,184,183,162,166,171,176,179,183,184,187,188,191,192,194,196,196,194,192,189,183,179,164,179,200,167,184,188,187,185,184,164,168,173,177,181,184,186,189,190,192,193,192,187,178,174,176,173,161,158,149,165,180,144,180,188,183,187,186,165,169,175,179,182,185,187,188,187,187,181,171,158,140,148,161,163,146,136,128,125,140,146,192,200,148,185,188,167,171,177,181,185,187,182,165,161,161,160,158,150,139,126,127,120,122,140,143,140,146,157,178,174,131,183,190,167,172,178,183,188,190,176,161,158,150,143,145,147,135,122,119,133,157,174,160,147,140,130,121,135,165,191,190,168,173,178,185,193,185,170,164,155,130,131,149,160,145,137,130,130,144,149,133,117,108,122,150,179,194,193,192,169,174,183,188,182,177,175,169,140,106,119,131,134,123,120,116,103,110,106,112,134,165,191,197,197,195,194,193,171,181,188,185,182,177,169,169,148,112,103,91,81,77,83,90,100,125,160,185,199,201,200,199,197,196,195,194,185,189,188,187,182,170,164,162,160,137,98,72,56,95,146,162,181,199,205,204,202,201,202,202,200,198,198,197,193,189,184,179,171,165,164,165,161,137,102,77,72,97,167,206,207,207,207,205,204,203,202,201,201,200,199,199,193,185,174,168,162,157,152,147,140,121,96,74,75,75,75,152,210,208,208,206,206,205,203,202,202,201,201,200,186,175,166,158,152,146,142,137,132,121,94,67,69,83,74,96,205,210,209,208,207,207,206,205,203,202,201,201,172,172,160,154,146,142,140,139,138,133,99,67,61,75,75,95,204,210,209,209,208,208,207,207,205,203,201,200,100,145,154,153,146,143,138,137,136,125,95,72,68,56,56,70,168,214,210,210,209,208,208,208,207,204,202,201,42,64,121,153,152,145,137,129,118,103,87,80,76,64,56,65,152,216,212,211,211,209,209,208,207,206,204,203,40,34,48,114,151,143,132,120,110,94,84,79,79,70,92,129,196,216,214,213,213,211,210,209,208,207,206,205,37,33,31,44,110,123,111,100,92,73,60,68,76,91,188,214,215,216,215,214,213,212,211,210,209,207,207,205,32,30,27,26,45,76,80,91,78,50,49,65,98,176,218,216,216,216,216,215,214,213,212,210,209,208,207,206,26,24,23,25,21,16,52,166,145,82,99,139,194,218,218,217,217,217,217,215,214,214,213,211,210,210,208,207,19,19,21,25,22,34,153,210,209,200,206,216,218,219,219,218,217,218,218,217,216,216,215,213,212,211,209,208,46,22,19,28,33,144,208,210,213,216,217,217,219,220,220,219,218,219,219,217,217,215,215,214,213,211,209,209,40,42,26,23,69,201,207,209,212,214,216,217,219,220,220,220,219,219,218,217,216,215,215,214,213,211,209,209,15,30,25,18,94,208,206,209,211,213,215,216,217,217,217,219,219,217,217,217,216,215,214,214,211,209,209,209
21,132,135,137,139,142,144,145,148,151,151,151,151,149,155,152,153,154,154,152,152,153,152,154,153,151,150,150,147,133,137,139,142,144,145,148,150,151,153,151,159,168,134,154,157,156,156,155,154,154,155,155,155,154,152,152,151,135,138,141,144,146,148,151,151,152,155,152,172,199,126,127,163,158,158,158,158,158,158,157,156,157,157,155,152,137,140,143,145,148,150,152,154,155,158,159,156,199,160,100,156,162,159,161,159,159,160,158,161,151,146,158,154,138,142,144,147,149,151,154,156,158,159,161,156,180,190,129,134,166,161,162,161,162,162,159,182,139,102,162,157,139,144,147,149,150,152,156,158,160,159,160,159,165,207,169,119,159,166,164,164,164,161,166,191,126,107,165,157,141,145,148,150,152,155,157,160,161,161,162,164,160,202,187,121,139,169,165,165,165,160,182,184,110,130,166,158,143,146,150,151,154,157,158,160,162,163,164,166,160,189,198,137,121,170,166,166,166,167,197,169,107,153,167,163,145,148,151,153,157,159,159,162,163,164,166,167,163,179,195,159,112,167,169,169,165,179,188,144,105,168,164,164,146,150,153,155,158,160,162,164,165,167,168,165,177,207,186,165,95,127,177,166,170,194,178,112,126,174,164,165,148,151,154,157,159,161,163,164,165,167,167,173,183,203,189,162,123,93,157,174,181,196,167,101,160,172,167,166,149,152,154,158,161,164,165,165,166,169,171,211,178,169,208,179,171,158,120,149,173,178,131,114,178,169,170,168,150,153,157,159,163,165,165,166,170,169,181,193,193,174,157,165,199,182,117,90,134,137,95,145,178,170,171,170,151,155,157,160,163,165,166,168,171,167,184,184,156,120,70,81,172,182,132,86,99,102,92,171,173,172,172,171,152,156,158,161,165,166,168,171,173,169,189,179,118,117,99,78,120,200,160,103,79,81,106,181,174,174,172,172,153,157,159,163,165,167,170,172,173,171,193,188,172,149,109,110,104,193,185,122,79,67,124,185,175,176,174,174,154,158,161,164,166,169,171,173,175,171,205,206,162,131,111,130,126,194,203,147,95,62,130,187,175,177,177,177,157,160,163,165,167,170,171,173,176,174,208,188,140,127,132,147,158,213,202,161,114,69,124,188,175,177,177,177,156,159,162,165,168,171,172,174,176,176,207,193,162,154,154,156,186,217,194,159,118,71,124,189,176,178,177,177,155,158,162,165,168,171,171,173,176,173,208,205,173,158,164,172,201,217,192,151,126,74,121,190,176,178,177,177,157,161,163,165,169,171,172,174,177,173,204,212,186,160,169,182,211,216,197,154,124,77,125,190,178,179,179,178,158,162,165,167,170,171,173,176,179,174,200,216,188,171,170,193,217,206,190,150,121,75,131,191,180,180,180,179,159,162,165,167,170,172,174,177,180,178,195,217,193,190,181,196,217,203,182,151,115,73,125,194,181,183,182,182,159,163,165,170,171,173,177,179,181,181,187,215,202,201,195,191,211,191,173,149,108,70,122,195,182,184,183,182,161,164,167,170,171,175,179,180,182,182,181,204,209,205,197,185,195,174,159,144,102,65,128,195,183,183,187,185,155,160,163,166,171,175,177,179,182,184,181,196,214,204,185,166,176,166,149,149,98,57,157,201,191,194,174,117,104,105,108,112,114,116,120,121,121,121,123,143,212,195,167,141,151,167,147,145,87,57,140,151,149,153,96,70,78,79,79,79,77,79,82,81,78,83,69,55,193,176,147,131,145,168,135,134,73,42,60,76,84,86,64,65
12,209,210,212,214,214,214,214,215,215,216,216,214,214,213,216,217,213,210,210,209,208,208,205,204,203,202,200,198,210,215,216,215,216,217,216,216,217,218,218,218,216,215,205,190,203,215,210,210,210,208,206,205,205,203,201,199,212,215,215,217,218,218,219,219,218,219,217,204,215,219,169,141,120,192,221,214,215,212,207,207,207,206,202,200,215,217,217,219,218,219,219,221,218,220,201,153,135,178,181,155,118,127,201,167,154,189,214,207,206,205,203,201,216,218,218,219,220,222,220,220,218,228,199,167,131,121,196,164,139,115,113,140,124,101,189,215,208,207,205,203,217,218,219,219,221,221,223,223,220,232,210,181,159,112,190,176,147,121,92,135,131,84,125,222,209,208,206,204,218,219,219,220,222,222,223,222,227,234,225,190,165,115,162,181,150,126,82,131,127,92,97,219,210,209,208,206,220,222,221,222,223,223,224,222,234,213,234,197,166,123,131,181,152,127,83,116,135,94,100,220,210,210,209,208,220,221,222,222,222,224,221,220,209,149,196,205,158,131,116,183,154,130,89,108,138,92,116,225,210,212,210,209,220,221,222,223,224,220,219,225,191,131,122,199,164,130,95,176,167,137,103,83,121,85,156,226,212,213,212,210,221,223,224,224,223,235,235,213,164,129,92,172,167,118,84,165,197,161,118,80,103,77,177,224,214,215,212,210,222,223,225,224,232,233,208,195,155,142,97,148,169,130,96,175,214,169,121,89,112,93,200,222,216,215,213,212,223,224,224,223,246,223,179,196,163,151,106,116,181,168,116,141,192,143,97,88,119,90,183,229,216,215,214,211,224,224,223,232,228,202,159,157,173,144,106,93,187,178,142,80,78,77,73,109,118,70,114,231,216,216,215,213,224,225,225,233,219,187,160,118,157,152,126,83,161,177,133,83,59,96,106,106,87,79,84,215,222,217,215,214,222,225,226,229,231,205,178,140,124,165,127,89,68,124,127,86,109,134,149,129,98,86,99,221,219,219,216,215,224,227,228,230,235,211,182,155,120,143,119,109,63,130,196,171,162,152,159,135,105,68,147,234,218,220,217,214,225,227,230,231,237,220,191,164,135,113,132,140,103,190,226,208,182,160,153,127,99,65,186,232,220,221,217,215,225,227,228,234,229,211,188,163,135,115,122,136,157,221,216,197,174,156,139,122,88,73,213,226,222,220,218,216,226,228,230,232,216,201,188,163,129,139,112,146,205,214,205,186,166,150,131,117,72,129,236,220,222,220,218,217,227,229,231,229,216,204,191,160,131,152,134,191,208,206,199,177,158,140,123,96,86,217,228,223,222,221,218,218,228,230,231,232,220,203,192,165,146,143,146,198,197,205,194,170,145,127,117,72,140,243,223,225,223,223,221,218,228,231,231,233,223,206,195,176,153,131,143,196,191,194,178,158,131,115,100,66,205,235,228,225,224,223,222,220,227,231,231,232,230,217,196,173,152,126,136,181,181,176,162,138,116,107,68,122,243,229,228,226,224,223,222,221,227,231,232,233,232,215,194,176,157,139,137,168,171,156,142,126,107,86,72,216,235,229,227,225,225,224,223,221,229,231,233,232,235,208,181,168,151,149,140,159,174,157,138,121,104,59,167,243,228,229,228,226,224,224,225,222,230,231,233,232,235,207,185,176,168,166,153,159,170,154,134,115,80,107,240,232,232,230,229,229,226,224,224,223,230,231,232,227,231,208,188,188,180,169,160,161,167,147,112,101,72,189,243,232,233,231,230,230,228,225,223,223
20,196,200,205,208,212,215,217,218,219,221,223,221,219,220,220,216,219,201,214,215,213,212,210,208,206,206,205,203,197,202,208,211,214,216,220,221,223,223,224,225,223,222,220,223,238,155,171,221,215,212,212,210,209,210,207,205,199,204,208,213,216,219,221,223,224,225,226,225,224,224,221,233,239,149,129,190,166,216,213,212,213,211,209,207,202,207,210,214,217,222,223,225,227,228,228,226,226,227,222,238,231,140,135,204,116,200,221,215,214,212,211,210,204,208,213,216,220,223,225,229,230,228,231,231,229,228,223,252,239,144,141,206,121,187,225,217,217,214,213,212,205,211,214,217,221,225,227,231,231,230,231,232,231,232,226,255,231,143,152,207,130,188,228,218,219,217,215,212,207,213,216,220,223,226,229,231,231,233,233,233,233,230,236,254,201,128,187,223,139,180,232,220,221,219,216,215,210,215,219,222,225,228,230,233,233,234,235,235,239,236,248,249,190,108,195,211,132,179,234,222,222,221,219,216,212,217,222,224,227,230,232,236,235,237,238,237,213,195,255,251,182,108,207,202,119,187,235,224,224,223,222,218,213,218,222,225,230,232,234,235,239,240,237,249,207,124,232,224,128,138,236,197,122,199,237,227,226,224,223,221,215,220,224,227,231,234,235,237,241,241,249,255,222,165,171,129,79,162,219,178,115,214,236,227,226,226,224,222,217,221,224,229,232,236,239,240,242,239,206,230,246,207,146,114,95,157,174,138,116,233,232,230,231,229,227,225,219,223,227,232,235,238,241,240,255,252,172,174,253,194,179,170,162,168,130,108,151,248,232,233,232,231,229,225,219,224,230,233,237,240,240,249,255,255,200,179,218,208,202,185,197,181,106,85,195,246,234,234,233,231,229,227,222,226,232,234,239,242,239,255,255,255,200,169,238,219,180,178,181,157,123,78,205,247,236,236,234,232,232,230,223,227,233,236,239,243,242,255,252,237,218,141,199,186,96,101,180,170,147,85,198,251,237,238,236,233,234,231,225,229,234,239,242,242,252,255,228,218,219,117,84,88,61,60,175,214,164,106,131,252,239,239,238,236,233,232,227,231,234,239,243,245,251,255,255,243,201,166,112,61,111,201,214,225,184,129,83,210,249,239,240,238,235,233,226,232,237,240,244,245,254,255,255,240,193,213,134,98,226,255,240,204,178,132,93,194,254,239,240,239,238,233,228,234,239,241,245,247,255,255,255,230,189,173,116,179,255,240,211,195,141,130,95,224,249,242,242,240,238,234,229,234,240,242,246,248,255,255,255,229,224,159,180,255,253,209,179,194,136,102,114,254,244,244,243,242,239,237,231,236,241,244,250,250,254,255,255,241,231,168,228,255,236,210,187,183,157,77,161,255,246,246,245,243,241,238,231,236,241,246,249,251,255,255,255,243,231,175,216,247,220,204,175,160,135,78,227,255,247,247,246,244,241,238,232,238,242,246,247,254,255,255,255,246,222,178,175,206,193,173,148,140,84,150,255,248,250,249,247,245,242,240,230,236,241,243,255,229,107,209,255,240,184,144,147,162,184,160,131,91,91,248,255,252,250,249,248,246,243,240,230,234,237,249,241,116,67,84,185,203,158,150,159,163,190,150,110,73,208,255,249,251,250,249,247,243,241,239,230,235,243,247,128,71,87,74,84,156,178,169,163,163,174,133,75,169,255,251,253,251,250,248,247,244,242,239,231,234,252,154,79,91,73,78,71,80,132,145,150,147,133,99,102,254,255,255,253,251,251,249,248,246,243,241
2,103,117,124,126,131,136,141,147,150,154,156,153,158,164,168,164,173,175,178,174,176,178,178,178,178,179,180,181,105,119,126,127,134,139,142,149,150,150,156,182,203,201,184,180,182,148,120,175,173,172,180,176,178,178,178,178,106,119,127,131,136,142,148,148,161,183,199,184,152,130,89,87,114,83,46,97,107,85,161,182,177,178,177,177,109,120,127,131,138,147,145,164,224,211,147,100,79,75,57,52,56,56,58,63,51,52,159,184,176,177,177,177,111,123,130,133,141,144,169,228,200,128,57,40,46,47,45,49,44,36,60,79,96,159,183,177,177,176,176,176,114,126,132,137,145,149,226,210,104,59,42,25,45,34,32,39,45,85,158,181,186,184,181,180,180,181,179,178,117,128,133,141,145,167,241,164,65,42,38,40,50,32,47,43,148,193,186,184,184,184,184,184,181,180,182,180,120,131,136,145,145,183,240,142,66,39,30,42,37,43,44,82,201,189,188,190,189,190,191,185,192,159,176,185,124,134,139,148,146,208,227,109,44,31,33,31,24,41,34,152,203,194,195,194,196,197,190,196,197,123,178,192,128,138,142,151,150,233,213,110,66,51,49,33,35,35,81,208,198,199,199,199,200,199,197,211,158,102,197,194,132,142,146,150,166,253,207,124,79,61,46,38,59,41,131,217,201,204,204,203,204,200,200,198,116,125,212,197,136,144,150,151,199,255,201,126,74,60,39,42,55,38,167,215,205,209,209,207,211,192,184,175,84,136,217,201,140,147,152,155,212,255,195,120,72,58,40,41,45,40,179,222,210,211,211,213,208,177,185,147,69,124,222,205,143,150,155,157,212,255,189,114,72,53,41,35,49,54,118,209,205,218,224,220,190,190,185,131,62,161,223,210,144,152,159,159,207,255,190,126,82,56,41,39,60,83,76,104,129,135,176,179,184,192,181,107,114,226,214,216,147,155,162,161,212,255,190,130,85,62,41,45,80,96,94,114,136,138,119,154,190,182,140,89,211,224,219,219,151,156,164,166,225,255,190,136,94,66,40,56,89,86,95,123,145,159,155,141,172,160,83,169,235,223,225,222,155,159,167,169,233,248,190,141,106,71,44,63,88,89,121,143,155,144,141,125,127,98,121,240,225,227,227,226,157,162,172,172,232,240,189,147,114,75,51,67,93,110,145,150,144,129,112,103,86,67,217,236,229,230,230,230,161,165,174,178,233,231,185,153,123,78,58,71,96,118,136,141,128,114,98,78,60,174,245,230,232,233,232,231,163,167,176,180,223,218,182,163,134,83,72,75,94,119,124,130,120,103,79,86,201,247,235,238,235,236,236,235,167,169,180,181,214,212,188,176,138,91,82,75,98,115,121,121,113,82,101,231,250,237,240,239,239,239,239,239,169,173,182,185,216,212,196,175,131,97,90,77,105,110,112,111,84,84,226,249,237,241,240,241,241,240,240,240,173,176,185,193,228,216,193,164,128,106,96,77,99,100,95,76,88,214,251,240,243,243,242,242,243,242,241,240,176,179,186,201,241,217,201,167,129,106,93,79,89,96,61,121,233,252,242,246,246,246,245,244,243,241,242,248,177,181,187,210,243,218,211,167,124,99,88,79,89,65,115,249,250,243,247,248,247,248,247,245,248,255,254,224,178,183,190,213,229,209,193,150,103,85,78,81,74,92,234,246,247,248,249,249,248,248,251,255,239,181,108,56,181,186,192,211,213,200,190,151,97,85,87,93,62,169,251,245,250,250,250,250,249,252,229,152,80,34,23,25
16,112,120,127,132,137,143,149,154,158,161,164,169,173,175,178,181,183,184,185,187,188,188,188,189,190,190,190,191,115,123,130,134,139,146,152,157,161,164,167,171,175,178,181,184,186,186,188,189,190,191,192,193,193,193,193,193,118,126,132,137,142,149,155,160,164,167,171,175,178,182,185,186,186,183,179,176,177,182,188,194,196,196,197,197,120,129,134,139,145,152,158,163,167,171,174,177,180,183,183,180,173,165,154,142,136,137,150,174,193,199,200,200,123,131,137,142,148,154,161,167,170,174,177,178,178,174,168,161,155,152,141,125,116,109,103,120,163,195,202,203,125,133,138,144,150,157,164,169,173,174,171,165,160,156,153,150,144,139,128,111,106,102,88,85,115,178,204,206,127,134,140,145,152,159,166,173,182,177,164,147,148,151,150,140,134,129,114,97,93,91,83,79,90,153,202,208,129,136,142,147,155,162,169,182,193,188,177,150,156,164,149,129,126,116,101,89,85,83,80,79,85,141,200,209,131,138,144,150,157,164,172,182,186,187,179,161,177,173,134,118,111,96,89,82,79,78,79,80,89,150,204,212,134,141,146,152,159,166,172,174,180,189,176,171,191,173,133,114,98,84,80,78,77,76,78,81,100,170,210,215,137,144,149,154,161,167,174,176,183,194,184,181,190,168,144,123,98,80,75,76,77,77,77,82,120,191,215,217,138,145,150,155,163,170,176,180,184,195,191,185,189,171,147,119,94,78,73,75,78,78,78,86,144,205,219,219,140,147,151,157,165,173,179,183,184,194,194,190,185,162,130,100,80,70,73,77,80,80,78,94,168,214,220,221,142,148,152,159,167,175,181,186,187,195,197,190,170,139,103,75,58,59,74,82,81,80,79,105,187,219,221,222,144,150,154,160,168,176,182,187,190,195,195,178,147,111,74,41,33,56,78,87,84,80,79,118,200,222,223,223,147,152,156,163,171,178,184,189,192,189,180,154,122,88,42,16,22,55,80,93,92,83,78,130,209,223,223,224,148,153,158,165,173,179,185,190,192,181,161,130,101,67,26,13,21,47,76,96,98,84,80,143,216,225,225,225,149,155,160,166,174,181,187,192,194,178,143,109,85,58,33,23,30,43,73,100,99,83,83,153,220,227,227,227,151,155,160,168,176,182,188,193,195,173,126,91,74,64,57,46,47,60,84,106,95,83,87,161,223,228,229,229,154,157,161,169,177,184,190,194,192,163,115,108,97,77,71,65,72,92,103,110,92,82,90,170,227,230,230,231,154,158,162,170,178,185,190,193,182,142,118,171,177,140,113,97,108,115,116,111,88,80,90,174,228,231,231,231,154,157,163,171,178,185,187,182,158,119,145,202,210,195,171,143,127,126,129,112,84,77,86,168,228,232,232,233,154,157,163,171,179,185,184,167,129,122,183,210,211,200,179,151,129,137,140,116,84,75,81,145,210,216,216,219,154,158,164,171,181,192,183,145,116,160,205,212,209,198,175,150,131,144,148,120,84,74,76,96,123,126,149,173,155,158,164,172,189,196,160,122,144,192,208,211,207,195,173,149,130,143,153,126,83,75,75,67,60,69,104,125,156,158,164,173,191,170,137,152,188,204,209,210,205,193,173,150,128,132,153,135,88,76,74,62,48,66,78,77,156,159,165,173,181,167,171,191,201,206,209,210,203,191,172,149,125,119,142,141,98,77,71,54,31,52,67,63,156,160,166,174,182,186,192,198,202,206,209,210,201,189,171,146,122,112,124,136,107,80,70,47,22,42,64,59
21,70,77,85,99,114,122,129,133,136,139,140,144,147,150,154,155,157,158,160,162,162,162,163,163,164,164,164,164,71,79,87,102,115,124,129,133,137,141,142,146,149,151,149,158,159,161,162,162,164,166,166,166,166,165,166,165,74,81,87,105,117,126,131,135,139,142,144,146,159,163,94,149,164,162,164,164,167,167,167,166,168,168,167,167,75,83,90,107,119,126,132,137,140,143,147,146,168,164,88,143,169,163,165,167,169,169,167,167,169,169,169,169,75,83,93,109,120,128,133,138,143,146,150,147,169,163,95,139,169,166,167,168,171,172,171,174,173,171,171,170,77,85,94,110,120,130,135,138,144,147,150,148,172,170,101,138,172,166,169,168,173,174,168,159,173,173,173,173,78,87,97,113,122,131,136,141,145,147,151,150,173,171,105,131,175,169,172,172,173,173,144,95,158,179,174,175,80,88,99,116,123,132,137,142,146,147,151,151,173,168,107,118,177,169,173,172,176,163,119,101,175,177,176,176,82,87,99,116,124,132,138,144,147,148,153,152,180,171,107,116,178,169,174,178,176,144,96,152,185,177,177,177,82,89,103,119,126,134,139,145,148,148,153,154,188,175,115,122,178,170,175,173,156,115,121,186,178,179,178,178,83,90,105,119,127,135,141,145,147,150,164,141,171,159,111,117,179,171,178,170,134,96,170,183,179,181,181,180,84,91,106,120,128,136,141,146,148,158,161,116,118,117,96,119,179,173,177,162,103,132,189,179,182,182,181,181,86,92,108,120,128,137,142,145,159,176,127,114,86,82,85,121,161,162,163,123,99,180,182,183,183,183,181,182,86,92,109,121,129,137,143,146,183,190,162,138,91,67,83,111,140,140,126,84,150,188,180,183,183,183,183,182,86,94,111,122,130,137,142,156,188,197,201,136,94,69,77,99,116,121,89,109,188,182,184,184,184,184,184,184,87,95,112,122,130,138,141,162,171,161,170,122,89,77,75,90,101,102,83,170,187,184,184,184,184,184,185,185,88,96,113,123,130,139,141,182,169,110,131,139,100,81,76,80,90,74,116,192,182,184,186,186,186,185,186,185,89,97,115,123,132,138,148,183,135,104,115,152,112,86,78,74,82,70,143,192,183,186,185,186,186,187,187,186,88,99,117,123,133,134,161,181,144,139,133,171,128,109,87,74,77,71,150,192,186,187,187,186,186,187,188,186,89,100,115,122,134,134,172,184,165,131,172,199,134,124,93,73,76,75,164,189,186,187,189,189,189,188,188,186,89,101,118,124,135,135,181,197,158,140,208,175,129,119,92,73,73,80,179,189,187,187,188,189,189,189,188,188,90,102,117,124,135,135,189,187,146,157,195,157,125,109,100,79,67,101,192,186,187,187,188,189,189,189,189,189,90,102,117,124,136,137,181,168,157,157,191,153,143,107,88,80,65,135,194,185,188,188,189,190,190,190,189,189,89,103,118,127,137,139,166,174,177,155,194,145,137,110,81,78,68,160,192,186,188,188,189,190,191,191,189,189,89,105,119,127,136,141,157,195,166,151,182,130,115,92,77,73,78,175,189,187,189,190,190,191,191,191,190,190,88,105,118,126,134,141,154,186,162,142,158,122,100,88,78,65,93,186,185,189,190,191,192,192,192,191,191,191,86,103,115,125,134,142,149,166,150,145,148,130,115,96,81,59,106,190,182,185,188,189,190,190,190,190,191,190,87,104,114,125,133,143,147,159,156,151,148,143,129,98,78,54,113,190,181,184,188,188,189,189,190,190,191,190
21,151,155,157,159,161,162,163,164,165,166,166,166,166,165,165,165,166,163,162,162,161,161,160,159,158,157,157,155,152,155,157,160,162,163,164,165,167,167,168,168,168,167,166,164,161,165,164,163,162,162,162,161,159,158,158,158,153,156,158,161,162,163,165,167,168,169,169,169,169,168,170,175,116,140,170,164,164,163,163,162,161,159,159,159,155,157,160,162,163,164,166,168,170,170,170,170,170,168,174,175,106,134,173,165,166,164,165,164,163,160,160,160,156,158,161,164,165,165,167,169,171,171,171,171,171,169,179,167,108,142,173,167,168,165,161,166,164,163,162,162,156,160,162,163,166,167,169,170,171,172,172,172,174,169,184,164,109,148,175,167,167,155,118,146,170,164,164,163,158,160,163,164,167,168,169,170,171,172,174,174,175,172,187,161,112,158,173,168,165,145,100,139,171,165,165,164,159,162,164,166,168,170,170,171,173,174,176,175,175,174,187,156,111,162,174,169,160,140,106,161,168,165,165,164,159,162,164,167,169,170,172,174,174,174,175,175,173,178,186,152,107,161,176,169,158,128,117,171,166,167,166,166,160,163,166,168,169,171,172,174,174,175,176,176,172,184,187,145,106,167,173,162,157,114,143,175,167,168,167,166,161,165,167,169,170,172,173,174,176,176,174,173,173,192,184,135,116,179,166,158,143,108,164,172,169,169,168,167,162,165,168,170,171,173,175,176,175,180,175,137,134,180,162,117,120,180,162,161,119,122,178,171,171,171,170,169,163,165,168,170,172,174,175,176,176,179,178,143,114,113,113,96,132,177,166,151,106,156,178,172,171,171,170,169,163,166,169,171,173,175,176,177,179,184,176,175,151,127,95,92,132,156,157,126,114,176,175,173,172,172,171,170,163,167,170,172,174,175,178,177,184,192,185,199,181,144,102,97,109,120,127,103,144,181,174,174,173,173,172,172,164,168,170,172,175,176,177,181,182,158,177,184,173,131,103,96,101,106,104,106,171,178,176,176,175,173,174,173,164,168,170,173,176,177,176,189,170,135,167,136,162,144,113,98,92,100,94,131,184,177,177,178,176,174,174,174,166,169,172,174,176,178,178,192,181,152,126,93,148,162,124,101,91,95,93,156,184,178,178,177,177,176,176,175,167,171,172,175,176,178,180,192,162,131,116,96,128,174,136,110,98,95,94,168,183,180,179,178,177,177,176,175,167,170,173,176,177,177,187,194,158,148,141,117,166,182,146,131,105,98,93,168,187,181,181,180,178,178,177,176,166,171,174,176,178,176,192,191,167,159,132,155,208,179,148,139,111,102,99,171,187,182,182,182,179,178,178,177,167,171,174,175,178,179,195,198,181,147,142,203,197,164,141,137,115,105,107,177,184,183,182,182,181,180,179,177,167,172,174,176,179,179,198,207,171,148,157,208,186,163,137,126,118,104,117,185,183,183,182,182,181,180,179,177,168,172,175,177,180,178,199,194,159,163,160,205,183,165,149,115,112,101,132,190,183,184,184,183,181,181,179,179,168,171,174,176,179,179,194,177,177,170,158,205,179,157,145,118,110,101,150,190,184,184,183,183,182,181,180,179,167,170,172,175,177,179,184,185,199,167,169,197,167,146,130,116,112,105,164,189,184,183,182,181,181,180,179,177,167,171,173,175,178,181,181,190,191,159,157,181,156,134,116,112,107,113,177,187,184,184,183,182,182,181,180,178,168,171,174,175,178,181,182,186,175,158,147,166,153,131,121,112,102,121,186,186,185,184,184,182,182,181,181,179
13,141,142,149,154,159,162,165,168,171,172,174,176,178,179,179,180,180,180,180,181,180,180,180,179,179,177,175,176,142,143,149,155,160,163,166,169,171,173,175,176,178,180,180,181,181,180,181,182,183,182,181,181,180,179,177,177,142,144,150,156,161,165,167,170,173,175,177,178,180,181,182,181,182,182,183,184,185,184,182,182,182,180,178,179,143,146,152,157,161,165,168,172,173,176,179,177,180,179,181,185,183,184,184,185,185,184,183,183,182,181,181,180,143,146,152,159,163,166,170,173,175,177,178,180,215,195,144,169,188,183,186,188,185,186,185,184,184,182,181,181,144,146,152,159,164,168,170,173,175,176,176,190,247,224,162,139,193,189,164,165,189,185,186,186,186,184,182,182,144,148,153,159,165,169,172,174,172,186,182,176,241,228,187,136,155,174,143,100,171,192,186,187,186,185,184,183,144,148,153,159,165,170,172,169,192,228,182,150,192,199,171,105,136,133,110,86,136,197,185,187,187,186,186,185,145,148,155,160,165,166,186,171,198,236,195,147,167,187,154,103,147,117,89,83,130,198,187,189,189,188,187,186,146,150,157,162,163,177,233,178,142,216,215,163,131,194,193,178,165,136,86,67,136,199,189,189,188,188,187,186,147,151,158,164,158,207,236,194,144,170,222,175,105,115,188,193,176,178,144,71,151,199,190,190,189,189,187,187,148,151,157,163,164,211,218,207,161,128,209,179,129,49,103,143,172,192,194,128,157,201,190,192,192,190,189,188,146,150,155,159,168,215,200,205,170,113,172,198,140,64,60,83,159,215,216,189,125,180,194,190,189,188,188,187,145,149,156,156,183,234,198,196,184,122,117,202,145,69,64,153,192,192,196,187,128,132,200,190,191,189,188,188,147,150,158,154,219,230,188,171,183,140,80,174,170,120,171,214,198,192,169,149,151,109,184,194,192,191,190,189,147,152,159,154,224,232,199,158,153,179,109,142,212,222,216,197,187,182,155,130,135,111,178,196,191,192,191,189,146,151,158,156,228,237,210,196,172,177,196,213,228,228,202,187,185,160,140,120,105,140,197,192,192,192,191,189,143,150,156,157,231,241,219,208,194,178,203,225,225,220,194,172,164,146,134,103,111,187,194,191,190,191,190,188,147,153,160,157,224,241,226,207,193,180,197,221,220,204,178,155,144,143,118,102,175,202,197,197,195,193,193,193,129,130,137,125,198,241,227,214,196,186,199,218,203,174,160,150,148,130,101,108,142,138,138,136,135,135,134,134,100,100,105,90,147,240,225,216,200,193,197,212,192,160,145,152,141,113,100,97,93,91,91,90,89,89,88,88,108,110,111,106,120,228,218,214,201,188,188,209,194,152,133,136,118,102,102,104,104,101,100,100,99,98,98,97,108,109,111,111,107,211,212,215,207,189,183,205,189,137,122,119,104,101,103,101,101,103,102,100,99,99,99,97,111,111,111,113,101,196,214,219,215,197,178,199,187,134,119,108,101,105,104,102,101,101,102,101,100,100,99,97,112,114,113,115,99,183,222,227,224,206,174,189,190,140,115,101,101,106,104,102,101,101,101,100,99,100,98,97,110,112,113,116,102,158,231,230,224,205,174,182,192,141,110,96,101,107,105,103,102,103,101,99,101,100,98,91,111,112,111,112,108,127,224,219,201,188,173,175,184,141,110,94,103,107,104,103,102,105,101,98,100,101,91,160,111,112,113,113,112,111,214,216,183,181,184,167,173,146,111,93,101,107,105,103,103,106,101,99,101,92,135,223
12,148,151,155,158,160,163,165,167,169,171,171,171,172,174,173,171,171,174,176,170,171,170,169,170,170,169,168,166,149,152,156,158,160,164,167,169,170,171,172,173,173,166,164,177,174,149,151,177,172,173,173,170,171,170,169,168,149,152,156,159,162,165,167,170,170,173,175,172,184,171,139,150,186,166,120,140,164,137,157,176,172,172,171,170,151,155,157,161,163,166,169,170,172,174,174,175,202,200,176,129,136,197,164,102,114,141,107,166,176,173,173,171,153,156,159,162,165,168,170,171,173,175,171,194,187,190,188,144,89,157,168,110,73,129,110,111,181,173,173,173,155,157,160,163,166,169,171,173,176,175,172,204,159,176,188,133,86,145,155,107,75,106,114,79,171,176,174,174,156,159,162,165,168,171,173,176,175,177,180,141,118,179,168,120,78,152,147,98,79,115,102,83,176,175,176,174,157,161,163,167,170,173,176,174,184,202,183,121,85,129,160,137,69,139,175,115,81,138,108,98,184,174,175,175,159,163,165,169,171,174,173,188,202,195,186,138,86,89,170,133,59,145,185,108,89,172,109,128,187,176,177,176,161,164,167,170,175,174,187,203,165,167,194,144,86,52,130,119,37,87,171,97,79,150,110,168,183,179,179,178,163,166,170,172,176,176,200,195,167,147,179,135,90,50,64,66,62,90,102,115,121,128,84,154,188,179,180,179,165,168,171,175,176,184,191,165,142,111,162,136,93,55,62,67,144,187,152,149,131,120,100,109,190,180,180,180,165,170,173,177,178,181,198,172,150,99,139,136,90,60,72,115,168,179,169,146,121,95,110,90,175,186,181,181,168,172,175,178,179,183,200,177,154,115,117,138,113,66,97,158,178,173,167,149,119,95,92,90,182,185,183,182,170,174,177,181,180,192,203,184,162,136,100,129,129,77,157,185,181,175,172,135,113,95,66,126,195,182,181,180,173,177,180,183,182,198,205,190,170,143,117,109,107,134,189,187,188,186,161,119,107,85,72,178,188,188,191,190,175,179,181,184,184,201,202,193,176,149,139,124,121,164,176,183,192,181,142,111,104,65,119,207,191,176,147,118,177,181,183,186,186,196,198,198,181,158,152,135,130,159,163,186,190,167,128,105,94,66,153,141,99,68,52,49,180,184,185,187,189,189,201,199,183,166,162,145,133,166,160,189,183,148,116,97,84,64,62,46,43,45,47,44,182,186,188,190,193,187,198,194,182,170,167,151,136,165,175,170,162,130,104,90,76,46,43,44,45,42,46,39,185,188,191,192,196,190,193,195,183,171,162,153,144,155,173,154,138,116,96,87,54,31,48,46,34,37,49,43,186,188,191,193,197,189,188,199,183,170,159,149,137,142,160,145,125,107,91,78,44,24,39,52,37,29,41,48,186,189,191,193,199,188,191,196,176,163,157,147,132,141,152,137,109,100,85,59,55,27,26,44,49,31,31,44,188,191,194,197,200,189,193,192,161,152,153,141,129,143,141,125,96,89,50,38,56,41,15,31,46,42,26,33,189,193,195,198,202,187,194,199,161,159,161,148,139,145,129,112,92,71,33,26,46,52,19,19,37,47,35,24,191,194,196,197,205,171,189,201,168,175,173,153,137,141,122,107,86,52,42,22,34,50,31,12,26,43,44,27,195,198,201,200,216,123,170,206,184,195,177,146,139,139,117,102,77,43,40,27,21,42,40,12,17,36,44,36,169,173,178,181,193,91,109,199,185,190,164,136,143,138,112,99,64,49,37,30,15,37,43,18,11,29,42,41
8,152,157,160,164,166,169,171,173,174,176,178,179,179,180,180,180,180,179,179,178,177,177,177,174,173,173,172,171,154,159,163,165,167,170,172,175,177,179,180,180,181,182,182,181,181,181,181,181,180,179,178,178,176,175,173,172,155,160,164,166,169,171,174,178,178,181,182,183,183,184,184,184,183,182,183,183,182,181,180,179,178,177,176,176,156,161,165,168,172,174,176,178,180,183,184,185,186,186,186,186,185,185,185,185,185,183,182,181,180,179,179,177,159,163,166,170,173,176,183,169,164,186,186,186,187,187,187,187,187,187,187,187,186,185,184,183,182,181,180,179,160,165,169,172,175,176,194,163,123,184,188,189,189,189,189,189,189,190,189,188,187,186,186,186,185,184,183,181,162,167,171,173,176,177,193,168,109,172,189,190,191,191,191,191,191,191,190,189,189,187,187,187,186,185,183,182,163,166,170,174,177,179,190,183,112,156,190,192,193,193,192,193,193,192,193,191,191,191,189,188,187,186,186,186,164,167,172,176,179,181,184,184,118,138,193,194,194,194,194,194,194,193,193,193,193,192,191,190,189,188,187,186,166,169,173,177,181,184,185,199,148,121,192,196,194,180,174,193,193,167,161,193,193,193,192,193,192,190,188,186,166,170,174,178,181,184,186,202,162,111,179,195,211,192,155,165,206,171,122,158,161,162,190,193,193,192,190,190,168,171,174,179,181,186,187,199,170,130,149,197,225,217,173,124,200,178,168,129,127,124,144,194,194,193,192,192,169,172,176,180,183,188,190,197,198,156,142,191,218,227,190,124,163,177,178,161,144,138,115,175,193,193,193,192,169,174,178,180,185,190,192,193,205,160,152,180,190,216,194,133,127,170,145,182,186,186,169,123,176,194,193,192,172,176,180,183,187,190,193,193,206,186,173,196,192,192,194,139,102,149,104,158,182,192,176,121,151,197,195,195,173,177,181,185,188,191,194,195,213,214,170,166,182,164,195,154,100,121,99,119,161,193,178,123,142,199,197,196,174,178,182,186,189,192,194,195,211,200,146,148,155,140,179,195,130,96,93,111,178,207,189,125,138,199,197,197,174,179,184,187,190,192,196,197,210,209,169,144,134,132,148,162,127,105,92,121,185,213,189,127,136,200,199,199,174,179,184,188,191,193,196,199,214,221,186,149,134,132,126,160,164,129,110,167,193,211,180,122,122,201,200,201,175,180,185,188,192,193,197,198,220,222,191,160,130,120,129,184,191,174,184,197,187,187,154,111,107,201,201,200,177,182,186,189,193,194,199,199,222,221,198,175,148,122,130,181,206,219,214,198,174,151,126,98,130,201,201,201,178,182,187,190,194,196,199,199,225,222,201,184,163,132,129,176,223,229,219,193,160,125,105,88,179,202,202,201,178,183,187,192,195,198,200,200,221,223,207,188,175,144,146,185,226,225,205,180,146,107,84,129,202,204,202,202,178,183,187,191,194,197,200,202,216,226,214,197,186,157,147,200,221,207,182,158,126,94,86,186,205,205,204,202,177,181,186,189,192,196,200,202,209,226,218,201,190,166,148,199,209,188,165,136,109,83,134,202,204,204,203,201,177,182,187,190,193,197,200,202,207,227,221,202,184,157,143,190,190,173,155,124,96,89,192,205,206,203,203,202,179,182,187,192,194,197,200,203,207,230,215,193,169,142,145,181,165,150,143,116,82,148,206,206,206,205,204,203,179,184,188,192,194,196,200,201,208,229,209,188,156,147,153,173,151,138,130,100,104,199,207,206,206,205,205,203
2,166,167,167,167,167,167,167,166,166,164,163,163,162,162,160,161,161,157,156,157,156,154,153,151,150,148,148,147,168,169,169,168,169,168,168,168,167,167,166,165,164,163,161,162,162,159,160,159,157,155,153,153,152,150,148,146,169,168,169,169,169,168,169,169,168,167,167,167,167,166,163,164,164,163,162,160,159,157,154,154,153,152,149,146,171,170,171,171,170,170,171,170,169,169,169,167,164,161,162,159,159,163,164,162,162,158,156,154,153,152,151,148,173,173,173,172,172,172,172,171,170,171,168,176,170,156,158,154,137,141,145,149,151,154,158,158,154,152,152,150,174,175,174,173,173,173,173,173,173,170,179,201,193,187,188,186,169,144,120,106,105,138,149,153,155,154,153,151,174,175,174,174,174,173,174,174,174,164,167,180,173,166,169,176,172,167,145,110,114,140,113,122,162,153,153,152,175,176,176,176,175,175,176,172,177,188,178,182,185,173,157,145,124,133,151,146,161,125,88,138,161,155,154,153,176,177,178,177,177,177,174,178,201,191,182,180,183,180,171,165,135,140,144,124,129,102,120,165,158,158,156,154,177,178,178,178,178,177,175,198,187,147,133,146,158,147,146,177,144,132,145,94,113,133,159,163,159,157,157,156,178,178,179,179,178,178,194,197,158,160,174,177,177,161,159,167,117,95,112,125,167,167,166,166,164,159,157,158,179,178,180,180,179,182,202,178,177,196,199,175,150,138,122,117,130,160,162,169,169,170,161,142,133,152,162,158,179,179,180,180,180,188,190,189,189,174,150,128,99,86,65,109,182,172,174,169,171,140,97,82,81,91,151,161,180,180,181,180,180,189,194,199,169,128,101,79,72,68,58,69,174,173,170,176,133,78,84,93,98,76,135,165,180,181,181,179,177,195,206,180,140,103,77,66,66,63,65,52,106,185,181,154,82,88,99,104,97,103,155,161,180,180,182,178,175,211,200,152,109,88,74,63,66,66,66,65,59,110,161,110,78,105,104,94,118,154,162,160,181,181,183,177,184,215,179,130,98,90,69,62,67,65,66,68,71,55,62,87,90,101,93,116,166,164,161,160,182,182,184,175,185,199,157,118,98,82,62,66,68,73,75,78,82,79,62,88,95,91,95,157,169,164,163,161,181,182,183,175,182,190,152,115,92,75,63,67,74,81,84,89,92,95,79,90,97,89,122,173,166,166,164,162,179,179,182,169,184,192,152,116,91,79,64,68,78,89,94,98,102,106,93,86,99,88,148,172,166,166,164,161,180,180,184,162,185,186,148,119,98,86,71,69,82,96,106,109,111,110,101,88,92,130,168,167,166,164,159,160,181,181,187,165,184,179,144,120,100,91,82,70,86,102,108,110,114,108,96,94,140,170,169,168,164,164,182,197,180,181,185,164,178,177,148,123,105,98,88,72,86,102,107,108,107,104,88,128,177,169,169,167,184,187,216,217,180,181,185,165,176,173,143,122,111,102,89,75,90,97,100,101,99,90,109,166,172,170,165,206,235,204,193,220,184,185,188,169,173,170,139,123,108,99,90,81,93,92,94,95,90,112,165,177,177,167,196,232,220,232,196,194,156,156,161,149,171,168,140,121,104,98,93,89,92,92,90,93,114,153,161,160,150,191,227,228,217,209,226,183,90,91,88,102,183,163,135,113,102,99,97,92,86,92,95,83,86,86,88,75,146,233,225,228,212,196,216,213,90,94,86,131,183,158,135,109,101,100,97,93,85,92,91,83,83,85,75,122,234,224,225,231,205,186,210,212
7,199,201,202,204,205,206,207,209,209,210,210,210,210,210,209,210,211,211,211,210,210,209,208,207,206,203,202,201,200,201,203,205,207,208,209,210,210,211,211,212,212,212,212,212,213,213,212,212,212,211,210,208,207,206,204,203,201,203,205,207,208,210,211,212,213,213,213,214,214,214,215,215,215,214,214,214,214,213,212,210,209,208,207,206,203,205,208,209,210,212,213,214,215,215,215,216,216,216,216,216,216,216,216,215,215,214,213,212,211,211,209,208,205,208,210,212,213,214,215,216,216,217,217,217,217,218,218,218,218,218,217,217,217,216,215,214,213,213,212,210,207,209,211,213,214,215,217,218,218,219,219,219,219,220,220,220,220,219,219,219,218,218,217,216,215,215,214,212,208,211,213,214,215,217,219,220,220,220,221,221,221,221,222,222,222,221,221,221,221,220,219,218,217,216,216,215,209,211,214,215,217,218,220,221,223,223,220,217,219,221,221,221,222,222,222,222,221,220,219,218,218,217,216,215,211,212,214,216,218,220,222,225,229,228,213,197,200,211,214,214,216,217,217,217,215,216,214,220,222,216,216,215,213,214,217,220,223,227,229,230,231,229,216,187,176,190,201,204,204,202,200,202,202,205,202,209,207,210,218,217,216,220,225,229,231,231,228,225,221,219,211,184,165,172,184,192,195,194,192,191,190,192,187,186,187,204,215,216,229,232,232,232,229,224,219,212,209,213,213,190,163,156,161,170,179,183,183,183,186,187,184,188,190,196,205,206,241,237,230,224,218,213,209,207,209,215,214,191,164,157,159,159,157,154,162,175,178,180,177,180,184,186,191,202,240,234,226,216,207,203,201,202,206,212,205,182,159,154,162,167,162,151,166,203,209,206,203,203,203,205,210,219,235,231,224,214,205,202,201,199,200,207,206,183,155,146,156,162,162,156,167,217,231,229,229,228,227,226,226,226,230,227,223,217,211,206,205,204,203,208,211,191,165,160,162,158,155,150,182,226,233,233,232,231,230,229,228,228,222,220,218,217,215,210,207,204,203,206,205,188,170,168,169,164,158,165,213,233,234,234,233,232,232,231,230,230,197,197,203,211,214,212,205,200,197,194,184,171,154,148,153,157,156,193,232,235,235,235,234,233,233,232,231,228,128,135,154,180,199,201,193,187,181,177,172,161,130,114,127,146,165,216,236,236,235,235,234,233,232,232,225,203,74,75,85,107,136,159,172,181,187,197,209,206,160,130,143,165,200,232,237,237,236,235,234,233,229,222,191,152,63,60,59,61,69,103,180,217,227,232,236,235,214,191,201,217,232,238,238,237,237,235,231,213,189,169,139,116,57,54,52,50,50,106,212,235,236,237,238,238,236,233,235,237,238,239,239,238,236,222,191,156,136,123,110,99,52,50,48,46,46,110,220,237,237,238,238,239,239,238,239,239,240,240,240,238,221,171,125,109,112,107,100,95,51,52,49,45,40,104,218,236,237,237,238,239,240,239,239,240,240,241,239,224,182,133,99,85,93,94,91,91,58,58,52,41,33,91,195,213,216,217,219,220,222,222,223,225,225,226,216,169,128,120,94,73,76,85,83,84,65,59,46,32,30,71,142,155,156,158,160,163,165,166,167,168,169,173,164,124,101,111,90,67,67,74,76,77,68,53,36,28,34,76,128,134,133,135,135,136,136,137,137,136,138,144,137,106,91,104,86,64,62,67,70,72,63,44,31,30,39,90,135,138,138,139,139,138,138,137,137,137,137,131,118,99,88,98,81,63,60,64,67,68
5,67,75,83,91,99,106,113,117,119,124,129,132,135,140,143,142,158,130,134,158,156,158,159,159,159,161,161,160,68,76,84,92,100,108,115,118,121,126,128,136,140,141,145,144,181,107,100,164,157,160,160,160,161,162,163,162,69,77,86,94,102,111,116,121,124,125,139,130,139,146,143,164,171,68,120,166,158,161,163,163,165,165,165,165,71,79,88,96,105,111,118,123,125,128,179,97,113,156,141,192,125,54,149,165,160,164,166,166,165,165,166,166,74,81,88,98,106,110,122,125,122,147,169,71,122,154,160,199,90,81,170,163,164,168,168,167,167,168,169,169,74,83,89,96,117,135,101,130,117,176,128,59,145,147,196,159,70,122,175,166,168,169,170,170,169,171,171,171,76,83,91,93,135,152,68,129,126,194,109,79,150,169,188,93,75,161,169,167,167,170,168,174,173,173,173,173,77,83,93,93,141,174,67,125,142,165,83,106,154,194,160,69,102,176,163,171,197,180,124,166,177,175,175,174,78,84,94,98,135,216,90,104,158,142,76,129,164,202,148,82,139,175,180,196,186,200,126,151,183,176,177,177,78,84,95,105,117,224,172,120,147,153,106,125,182,184,121,88,159,181,213,160,143,201,94,162,182,179,180,179,80,86,96,108,104,204,236,199,150,135,112,114,170,148,104,116,184,201,156,87,140,191,73,154,189,181,181,182,82,86,98,109,112,139,222,232,185,123,94,88,108,104,111,158,194,185,127,66,166,185,74,116,196,182,184,183,80,87,100,109,121,118,157,240,190,135,88,73,76,79,107,165,150,134,91,103,191,163,90,83,189,185,186,187,81,88,101,110,121,130,123,228,204,145,110,79,74,73,93,129,128,91,72,168,201,182,105,85,187,187,188,187,82,90,102,112,123,130,124,224,219,159,134,94,70,71,81,104,107,62,134,191,200,190,116,96,193,189,190,190,82,92,103,114,124,130,128,231,229,177,152,107,70,70,77,105,125,132,167,166,198,187,111,102,197,190,191,192,83,91,105,116,123,133,127,226,234,192,157,104,70,65,85,131,165,176,171,137,146,183,104,113,202,191,193,194,83,93,106,116,124,134,127,219,242,195,158,114,76,61,105,163,172,168,160,128,105,123,85,124,204,192,195,196,84,94,108,120,124,136,125,200,241,193,169,130,88,88,122,157,163,154,141,112,88,86,68,143,203,193,197,198,84,96,109,120,127,135,126,182,237,199,173,137,93,93,137,146,148,126,121,98,83,71,120,192,197,198,200,200,84,97,109,119,128,137,127,184,245,203,158,124,95,77,116,123,123,102,98,86,73,132,199,197,199,200,199,200,85,97,110,120,128,140,125,190,239,179,133,101,86,81,97,108,103,87,81,76,151,202,195,197,201,201,201,200,84,98,111,121,130,141,124,199,229,169,129,94,93,97,89,98,86,76,69,151,204,194,198,199,201,201,202,200,85,99,112,122,132,133,154,208,215,182,141,96,105,109,84,83,74,64,146,202,194,199,201,202,202,202,203,202,86,99,112,125,126,158,231,228,193,158,131,105,105,98,75,71,50,123,202,193,198,201,202,203,203,203,203,204,87,98,113,119,140,217,231,233,215,183,118,93,92,87,72,63,61,185,198,195,200,203,204,203,203,205,205,205,86,98,111,118,204,223,225,212,199,195,173,129,88,71,61,47,82,202,192,196,200,202,204,204,206,205,205,205,86,100,103,166,226,214,214,194,190,172,173,163,114,80,72,59,59,164,195,194,198,201,201,203,204,204,204,205
21,165,167,168,169,169,169,169,171,170,171,171,172,169,164,172,170,171,171,170,169,168,168,167,165,168,99,39,36,168,169,170,171,172,172,172,173,173,173,172,175,185,131,163,175,172,172,172,172,173,170,169,171,150,87,50,41,170,171,172,174,174,174,174,174,175,175,174,176,190,122,149,181,174,175,176,166,152,175,171,174,148,66,52,54,173,173,174,175,176,177,177,176,177,177,177,180,191,123,136,185,177,176,182,169,112,174,173,176,155,80,60,70,174,175,176,177,178,178,179,179,179,179,179,181,196,130,128,187,178,177,188,165,107,175,176,174,177,99,59,68,175,176,178,179,179,180,180,180,180,181,180,181,202,144,127,187,181,179,191,159,111,176,179,176,180,129,61,61,177,178,179,181,181,182,182,182,182,183,183,182,206,155,126,185,184,182,195,157,117,178,180,177,182,164,69,51,178,180,181,183,183,183,183,184,184,184,184,182,205,164,128,177,188,184,201,161,121,182,182,181,179,184,92,52,180,182,183,183,184,185,184,185,185,184,187,183,209,179,135,165,191,187,202,160,122,184,183,183,180,186,141,137,182,183,183,185,185,185,186,187,186,186,188,185,209,191,137,160,193,192,207,158,120,187,184,184,182,184,142,176,182,184,185,186,186,187,188,188,188,188,190,179,186,197,133,159,194,198,202,148,126,192,186,185,184,183,158,182,183,184,185,187,188,188,189,189,190,188,205,185,156,169,147,143,194,201,188,138,137,195,186,187,186,186,178,144,184,185,187,187,188,189,189,189,190,189,212,207,180,139,169,105,165,197,179,129,150,198,188,188,188,188,182,137,184,186,187,188,189,189,189,190,190,193,191,212,201,167,174,114,105,156,156,118,167,196,189,189,188,188,186,169,186,187,187,189,189,190,190,191,190,194,172,165,210,172,166,154,120,108,124,101,173,196,190,190,189,189,189,185,186,187,188,190,190,190,191,192,192,189,197,168,187,178,141,175,161,115,99,94,169,199,191,191,190,189,189,188,186,186,187,188,189,190,191,191,194,195,212,181,128,167,130,153,169,129,94,88,169,199,192,191,190,190,189,188,186,187,187,187,189,190,190,190,205,208,198,149,101,117,159,130,160,152,110,84,172,197,191,191,191,190,189,188,186,187,188,188,189,190,190,194,210,183,165,157,121,81,131,101,143,181,130,91,182,196,191,191,190,189,189,188,186,188,189,189,189,191,192,194,207,180,156,165,129,93,75,124,164,195,157,102,154,199,191,192,190,189,189,188,186,187,188,188,188,190,191,191,203,189,169,161,154,110,98,194,184,188,171,126,115,198,193,192,191,190,189,189,191,193,194,195,194,195,197,198,204,204,176,130,155,124,144,213,195,180,161,131,127,198,193,193,191,190,190,190,144,146,150,153,156,160,163,166,205,206,173,126,152,140,185,216,187,173,147,108,139,204,196,198,197,194,190,188,102,102,104,104,103,104,104,103,197,210,168,144,160,150,211,208,184,166,142,106,114,132,128,128,133,144,166,183,110,111,110,110,110,110,112,105,183,208,172,165,173,158,218,207,182,159,130,107,102,104,119,143,164,183,196,203,109,110,109,109,110,110,112,103,155,210,188,186,182,148,202,199,167,147,115,105,165,179,186,198,200,195,196,206,109,109,108,109,110,110,111,109,120,198,199,189,178,145,175,187,147,122,101,112,202,199,177,169,183,191,189,195,109,109,108,109,111,110,110,112,105,182,195,174,158,137,142,165,130,108,97,127,162,172,190,157,155,172,185,193
8,194,194,194,194,195,194,191,163,147,185,194,194,194,193,192,191,190,189,188,187,186,185,183,182,181,180,178,177,195,195,195,195,195,195,184,145,127,181,195,195,195,195,194,193,192,191,190,189,188,187,186,184,183,181,180,179,197,197,197,197,197,195,174,127,128,188,198,197,197,197,196,195,194,194,193,192,190,189,188,186,185,183,182,181,199,199,199,200,199,192,161,113,147,196,200,199,200,200,199,197,196,196,195,194,193,191,190,189,187,186,185,184,201,201,200,201,200,189,148,108,169,201,201,201,201,201,200,199,199,199,197,196,194,194,193,191,190,188,187,185,202,202,202,202,201,188,143,113,180,203,203,201,200,202,202,201,200,200,199,197,196,195,195,194,193,190,189,187,204,203,203,204,202,185,137,115,185,205,199,182,172,191,196,193,198,201,200,197,191,194,196,195,194,192,191,189,205,205,205,206,203,182,135,113,182,204,191,164,135,143,157,148,168,194,192,188,169,176,196,197,196,195,193,192,206,207,207,207,204,188,155,122,172,200,190,173,139,109,119,118,122,159,152,153,155,150,189,199,198,196,195,193,207,207,208,208,206,194,171,136,160,192,189,185,152,107,101,112,116,144,128,117,145,139,158,192,199,197,196,194,208,209,209,209,208,198,177,151,154,172,178,186,158,111,89,101,128,145,116,97,134,144,126,155,189,199,197,195,210,211,210,210,209,202,187,170,156,154,153,170,159,116,82,88,131,138,103,81,119,155,132,115,161,198,198,196,211,212,211,211,211,204,192,168,145,134,133,150,161,124,81,85,131,127,91,68,118,164,136,103,155,199,199,197,212,213,213,213,212,204,186,155,127,109,106,124,166,149,101,91,131,115,75,66,136,165,123,111,178,201,200,199,213,214,214,214,212,202,188,163,131,100,87,96,159,175,127,99,128,108,76,91,148,149,109,142,197,203,201,200,214,214,214,214,212,200,191,172,135,98,85,96,155,170,126,102,121,119,118,126,148,123,107,175,204,204,202,201,215,215,215,215,211,198,193,174,137,103,89,109,162,150,111,115,134,140,138,121,121,97,123,195,206,205,203,201,215,215,216,216,211,199,193,173,142,110,97,122,164,164,157,165,163,150,133,102,89,90,157,205,207,206,204,203,215,216,216,216,211,199,193,176,145,112,111,149,185,192,195,186,166,145,119,84,79,131,194,209,208,207,205,204,215,215,216,216,210,196,192,180,147,118,129,172,197,202,198,179,156,132,101,79,122,189,210,210,209,207,206,205,215,215,216,216,211,195,189,179,153,126,143,181,196,201,190,166,142,113,86,115,184,209,210,209,208,207,205,204,216,216,217,217,213,198,189,179,154,131,148,178,184,184,169,146,120,93,109,177,208,210,209,208,208,207,205,203,217,217,217,217,213,199,190,179,155,137,149,173,171,163,141,117,92,102,170,208,212,211,210,209,208,207,205,203,217,217,217,217,212,199,188,176,160,147,150,168,161,144,118,89,96,162,208,214,214,213,210,209,208,207,206,204,217,217,217,217,208,196,186,179,170,155,151,160,148,122,94,94,158,206,216,216,215,213,211,209,207,205,198,181,208,209,211,210,199,194,189,184,172,158,155,155,131,97,84,146,205,215,215,215,213,211,204,193,179,163,136,107,153,157,160,164,178,195,195,186,171,158,153,142,113,81,93,165,191,193,194,194,189,170,141,116,94,80,65,56,112,114,115,121,163,197,194,181,167,157,143,128,101,72,84,121,132,135,136,134,122,96,72,61,52,48,47,44
6,193,195,198,200,201,203,204,205,204,204,204,203,203,201,200,199,198,198,196,194,192,191,191,188,189,188,185,184,195,198,201,202,202,204,205,206,206,205,205,205,205,204,202,200,200,198,198,196,194,193,192,192,193,190,187,185,198,200,203,203,205,207,206,207,207,206,206,207,207,205,203,203,203,202,200,199,198,196,194,194,192,191,189,187,200,202,203,204,207,207,208,208,208,209,209,207,207,206,207,204,204,203,202,202,201,198,196,195,193,192,190,188,200,204,207,206,208,210,210,210,210,210,210,209,209,208,205,206,205,203,202,202,201,200,197,197,194,194,192,191,202,205,208,208,210,210,211,211,211,210,210,209,209,208,207,209,208,206,207,207,206,206,204,200,197,196,193,191,205,205,210,209,212,214,213,212,212,212,213,214,214,211,209,208,204,198,190,183,184,175,167,163,160,138,168,186,207,208,210,211,212,215,214,214,214,214,210,196,187,190,188,173,154,139,118,135,152,160,143,142,141,113,171,187,208,210,212,214,214,215,216,217,218,201,186,150,141,144,149,161,148,132,123,126,142,153,134,127,118,97,116,135,208,210,215,216,216,217,219,215,210,199,183,163,146,129,90,115,124,119,95,77,86,77,77,80,91,99,122,159,210,212,215,216,217,220,214,211,199,181,176,162,158,157,88,47,46,42,47,90,125,151,166,185,200,201,205,204,211,214,216,220,219,213,200,203,178,161,169,169,175,132,72,51,31,114,176,208,219,219,216,213,209,206,203,200,212,215,220,216,208,198,194,182,170,166,162,172,172,114,55,52,45,103,228,214,211,208,208,208,208,206,205,202,213,217,215,208,199,196,187,178,176,165,159,170,160,145,102,54,51,29,126,230,211,212,211,210,209,207,205,204,218,209,205,205,198,192,179,174,170,162,158,159,160,162,126,69,45,53,43,192,221,212,212,211,210,209,206,205,183,216,207,199,189,185,174,167,161,155,154,156,163,161,113,66,50,54,27,148,231,212,213,212,211,210,210,208,58,135,217,208,186,175,165,157,154,152,150,153,160,161,129,77,44,47,50,202,222,216,215,215,214,211,210,208,56,40,92,183,186,168,166,162,157,155,157,154,162,160,150,99,48,41,49,208,223,218,216,216,214,212,211,209,50,53,21,41,142,183,163,156,155,154,159,161,160,161,142,90,52,54,32,182,231,217,217,216,215,215,212,210,48,28,24,12,27,122,155,155,158,157,150,139,136,131,104,80,61,58,49,207,229,220,219,217,216,215,213,211,27,20,17,23,17,14,91,148,154,147,136,121,111,99,82,73,70,69,33,137,241,220,221,218,217,216,214,211,18,25,23,19,15,13,8,73,147,148,131,114,101,114,103,67,70,69,27,138,240,220,222,221,218,217,215,212,20,26,27,18,9,16,11,0,67,126,109,93,70,92,65,47,64,66,126,225,226,224,224,221,219,219,217,215,23,26,20,13,8,10,3,4,0,61,66,62,121,203,179,154,181,206,233,229,227,225,225,223,222,219,217,216,21,20,8,6,4,2,0,0,0,0,72,208,238,243,244,243,239,236,227,228,228,226,225,223,222,220,217,216,22,7,2,0,3,0,0,0,0,32,228,243,231,232,232,229,229,229,228,227,226,226,224,223,221,218,217,215,14,0,0,1,0,0,0,0,0,99,255,227,234,233,234,231,231,229,226,226,226,225,224,223,221,218,217,212,7,2,1,0,0,0,0,0,0,141,253,233,235,233,233,232,232,230,229,228,226,225,223,224,223,220,215,211
21,139,144,148,151,154,155,156,158,160,161,162,161,162,160,159,160,161,157,156,156,153,153,153,151,149,148,147,146,141,146,149,153,155,157,158,160,162,163,164,165,165,164,162,159,153,160,158,158,156,155,155,154,152,150,150,149,142,147,150,154,156,157,160,162,165,165,166,166,166,165,167,175,86,123,167,159,158,157,157,156,154,151,151,151,145,148,153,156,157,159,161,164,167,167,167,167,168,164,173,176,71,113,172,160,161,159,160,158,157,153,153,153,146,150,155,159,159,161,163,166,169,169,169,169,169,166,182,163,75,126,172,163,164,159,155,162,159,157,155,155,147,152,156,157,161,164,165,167,169,170,170,171,174,166,189,159,76,135,174,163,164,145,90,132,168,158,159,157,149,153,157,159,164,165,166,167,169,171,173,174,175,171,193,154,80,149,173,165,159,129,62,121,170,160,160,158,150,156,159,162,165,167,168,169,172,174,176,175,174,174,193,147,78,155,173,167,153,123,71,154,164,160,160,159,151,156,159,163,165,167,170,173,173,174,175,175,172,179,192,141,73,155,176,166,150,104,88,170,162,163,161,161,152,158,161,165,167,168,171,174,174,176,176,177,171,188,193,130,71,164,173,156,148,83,127,175,163,165,164,162,155,160,164,166,168,170,172,174,176,176,174,173,173,201,189,115,86,181,161,150,127,74,159,171,167,166,165,164,155,159,164,167,169,172,175,177,175,183,175,118,114,183,155,87,92,183,156,155,91,95,180,170,168,169,167,166,156,160,165,168,170,174,176,177,177,181,179,128,83,82,81,56,110,178,161,138,71,146,179,171,170,169,167,166,158,162,166,169,172,175,176,177,181,189,176,175,139,102,54,50,111,147,148,101,83,177,175,172,171,170,169,168,158,163,168,171,174,175,179,178,189,201,190,212,185,128,65,57,76,91,103,66,129,185,173,174,172,172,171,170,159,164,168,171,175,177,179,184,186,149,178,188,172,109,66,56,63,71,68,71,170,180,177,176,174,173,173,172,158,164,168,172,177,178,177,197,168,115,162,116,155,128,82,59,50,62,53,109,189,178,179,179,176,173,174,173,162,166,170,174,177,180,180,201,184,140,101,52,134,156,99,63,48,54,52,146,189,180,180,179,178,177,176,174,163,168,171,175,177,179,182,200,156,108,86,55,104,174,117,78,59,54,53,164,187,183,182,179,179,179,177,175,163,168,172,176,179,179,193,204,150,135,124,87,162,186,131,109,70,60,51,164,193,185,184,182,180,179,178,177,162,169,173,176,179,177,201,200,163,151,110,145,225,181,134,121,79,66,61,169,193,185,186,185,181,180,180,178,163,170,173,175,180,180,205,210,184,133,125,217,209,159,124,118,84,69,73,179,189,187,185,186,183,182,182,179,164,170,174,177,181,181,210,224,169,134,148,224,192,157,117,102,90,68,88,190,187,187,186,185,185,183,181,178,165,171,176,179,183,180,212,204,151,157,153,221,187,160,136,85,80,64,111,197,187,189,189,187,185,184,182,181,164,169,174,176,180,181,204,178,179,168,149,221,182,148,130,89,78,64,137,198,189,189,188,187,186,185,183,181,163,167,170,175,178,181,189,190,212,163,166,208,163,131,107,86,80,69,158,196,188,187,186,184,184,183,182,178,163,168,172,176,180,183,184,198,200,150,148,184,147,113,86,80,73,82,178,194,189,188,188,185,186,184,182,179,165,169,173,176,180,184,186,192,176,149,134,162,142,108,93,81,65,94,192,192,191,189,188,186,186,184,184,181
12,194,194,196,197,198,199,201,201,202,202,202,201,201,201,200,200,199,199,198,198,198,197,197,196,195,193,194,194,195,196,198,198,200,201,202,202,202,203,203,203,203,201,202,203,201,199,200,199,198,199,198,197,196,196,195,195,196,197,198,200,201,203,203,204,204,204,205,204,204,204,204,204,203,201,201,201,200,200,199,199,198,198,196,196,197,199,200,202,203,203,204,205,205,205,205,206,205,205,204,203,204,203,203,202,202,202,201,200,199,199,198,197,198,200,202,204,204,204,206,207,207,206,208,208,208,209,207,205,205,207,209,203,203,202,203,202,201,200,199,198,199,202,203,204,205,207,207,209,209,209,209,207,205,199,206,210,201,179,179,210,207,206,204,204,203,202,201,199,201,203,204,205,207,208,210,209,210,211,209,216,206,170,153,204,195,158,111,179,195,191,209,205,203,202,202,201,203,204,206,208,210,210,211,212,211,212,213,221,205,170,115,167,191,156,123,129,171,130,147,208,204,203,204,202,204,206,208,210,211,210,212,212,213,211,191,214,194,157,112,152,216,172,141,125,161,132,102,165,214,203,205,204,205,206,209,210,211,212,212,212,225,214,163,186,204,165,101,164,251,184,150,146,167,135,105,147,217,204,205,205,207,208,210,211,212,213,211,227,242,214,177,147,236,195,107,152,236,166,128,188,180,145,98,159,218,206,207,207,208,209,210,211,214,216,212,233,234,218,178,128,216,183,128,137,166,139,142,216,166,121,92,170,217,208,209,207,209,210,211,213,214,214,216,243,218,197,158,122,121,139,121,125,168,203,197,168,129,97,102,198,214,210,210,209,209,211,214,215,216,214,236,238,211,158,135,121,88,95,173,202,202,203,189,161,156,109,143,222,210,211,210,211,210,212,214,215,216,217,249,229,194,160,157,108,87,179,234,225,205,191,169,153,157,116,159,224,211,213,211,211,211,213,215,217,217,219,250,231,172,176,179,118,164,240,232,225,204,185,171,151,141,104,167,225,213,215,213,212,213,214,216,218,216,227,253,232,205,189,169,187,228,235,232,219,202,180,165,145,126,96,184,223,214,215,214,213,213,215,217,219,217,232,252,237,220,210,176,204,228,235,223,213,196,168,155,137,119,89,177,226,214,216,215,215,214,215,218,220,218,232,249,240,227,212,183,214,225,227,213,203,184,161,148,128,114,87,174,227,215,217,216,215,216,217,219,222,220,228,245,238,232,210,185,203,219,210,204,197,171,149,134,119,103,93,207,221,218,219,217,216,216,217,219,221,219,225,244,239,232,198,177,195,202,206,196,184,157,139,127,113,87,170,227,219,221,219,219,217,217,216,219,221,229,227,233,232,210,178,177,195,201,207,196,173,158,139,121,100,172,228,219,222,221,220,219,218,216,217,220,220,175,216,235,218,206,201,196,194,208,210,190,161,154,133,96,171,235,221,222,222,222,221,220,219,217,216,226,197,100,137,234,232,223,210,192,177,198,198,168,145,141,103,140,231,223,223,223,222,222,222,221,220,217,219,223,145,128,109,141,194,189,179,172,165,186,174,147,137,113,117,224,227,224,225,224,223,223,222,222,220,215,227,196,119,127,123,74,106,106,105,102,104,124,129,126,117,100,204,233,224,226,226,225,224,224,223,223,222,215,221,152,120,123,130,74,81,99,95,86,80,77,79,86,74,95,212,229,226,226,226,226,225,223,223,222,221,222,194,122,123,121,127,69,67,91,92,85,82,80,78,72,68,55,153,238,223,226,225,225,224,222,222,222,220
2,122,125,130,134,137,138,140,144,146,147,149,151,153,154,154,158,154,161,161,164,166,165,165,167,166,166,167,167,123,127,131,135,137,139,142,144,146,148,150,152,155,154,158,156,108,135,155,161,127,147,173,165,168,168,167,168,124,126,133,136,138,140,143,144,147,149,150,152,151,158,159,127,81,92,141,141,90,109,158,167,167,168,168,168,124,127,133,136,139,140,144,146,149,151,150,154,163,157,123,90,70,83,110,111,103,105,92,158,169,167,168,168,126,129,133,137,140,142,145,149,151,152,154,174,171,131,81,72,75,85,83,100,110,109,68,116,177,168,168,169,127,130,134,138,141,144,146,150,152,151,169,177,144,96,60,60,70,87,83,101,102,95,89,152,175,170,171,171,129,131,136,139,143,145,147,150,150,160,182,141,95,64,55,46,69,99,110,95,116,131,159,176,172,174,173,173,128,132,136,140,143,145,148,150,148,179,165,104,68,64,64,62,89,94,96,145,175,174,176,172,174,174,174,174,128,133,136,140,144,147,150,146,169,177,134,92,62,65,65,77,75,106,157,176,171,171,173,174,175,175,174,175,129,132,137,142,144,149,148,154,182,150,104,63,58,58,73,82,97,179,173,171,172,173,174,176,176,176,176,175,130,133,137,142,147,149,148,181,173,127,87,66,69,59,76,74,137,176,170,173,173,175,176,176,176,176,177,177,132,136,139,143,150,146,171,198,167,121,90,77,75,70,67,100,172,171,172,173,174,175,177,177,176,177,179,179,133,136,141,144,147,145,198,187,149,112,81,74,71,76,76,156,175,171,174,175,176,176,178,180,179,180,181,180,133,137,141,146,146,162,208,177,137,101,76,71,69,72,104,177,172,174,174,175,175,177,179,178,179,180,180,181,134,138,141,147,143,189,200,165,129,92,72,71,74,71,140,177,172,175,175,175,177,180,180,182,183,181,182,180,134,139,144,144,156,209,188,155,123,88,71,72,73,63,157,177,173,175,175,178,178,180,181,168,151,140,154,185,133,139,145,140,188,207,178,144,113,81,68,73,74,65,112,181,174,174,175,179,185,175,153,144,139,109,120,187,134,140,142,153,208,191,165,139,109,80,68,71,74,84,79,126,175,179,180,178,160,150,150,140,117,135,179,183,135,141,136,181,206,180,159,130,102,77,66,71,79,89,101,90,104,142,150,144,134,141,153,108,144,191,183,183,135,138,144,206,194,179,150,120,98,78,62,75,87,101,113,111,100,121,133,149,155,147,119,110,187,182,183,184,136,133,174,206,182,169,140,122,102,78,63,88,108,122,129,122,117,133,146,145,134,123,126,169,187,184,183,184,135,140,201,191,182,165,141,125,103,79,70,105,123,127,134,131,119,130,129,116,138,168,185,185,184,185,183,184,128,169,207,186,180,164,139,123,101,80,77,116,125,125,133,136,101,99,130,167,186,186,183,183,184,185,185,185,135,203,197,183,176,158,132,117,101,80,82,121,123,119,134,110,109,154,182,183,181,182,184,184,185,185,185,185,172,206,183,179,173,145,116,105,90,77,94,114,123,118,113,132,179,185,181,181,182,182,182,184,186,185,185,185,200,189,177,166,160,134,111,98,85,84,98,103,117,106,145,181,178,178,182,182,183,183,182,184,186,186,185,185,188,181,170,156,159,119,100,96,87,93,81,95,133,161,179,176,178,181,181,182,183,184,183,185,185,186,185,185,183,177,163,149,161,112,90,98,96,85,105,157,172,177,176,178,176,179,181,182,183,183,184,185,187,186,185,185
20,148,153,158,164,168,168,171,174,176,179,180,181,182,182,182,183,184,183,183,183,182,182,181,181,181,179,177,175,151,156,161,166,169,171,174,176,178,181,182,183,185,185,186,184,185,188,187,187,184,183,183,183,183,181,181,177,153,157,163,167,171,173,177,179,181,184,184,186,189,190,184,212,179,163,191,191,189,188,188,188,185,184,183,181,157,160,165,171,173,177,179,182,184,186,188,190,190,192,183,233,173,137,179,159,197,190,191,191,189,188,186,184,159,163,167,173,176,180,184,184,186,188,190,192,193,196,187,232,171,166,202,117,196,193,192,192,192,191,189,187,161,166,170,175,179,181,185,187,189,190,194,193,194,197,190,240,191,169,225,119,188,198,195,195,195,193,191,190,163,167,172,177,180,183,187,190,192,194,195,194,198,199,194,249,191,173,241,135,182,202,199,199,198,196,194,193,165,170,174,178,183,185,190,192,193,195,197,198,196,197,207,246,175,192,240,137,175,209,201,201,200,197,196,195,168,172,176,181,185,188,192,194,197,198,201,200,225,215,185,249,174,205,235,125,174,211,202,202,203,200,199,198,169,175,180,183,188,191,193,197,199,199,198,211,255,236,144,149,155,202,229,125,182,212,206,204,205,203,201,200,172,177,182,185,190,194,197,199,199,205,251,240,171,199,180,132,118,162,195,128,190,214,208,206,206,205,203,201,174,178,183,187,192,197,200,202,197,228,242,233,211,180,214,225,173,105,140,118,196,214,209,208,208,207,204,203,176,181,185,189,193,198,200,204,199,233,210,130,176,107,160,238,191,110,95,100,199,214,212,210,210,210,208,206,177,182,187,191,195,199,201,207,201,237,197,121,109,79,78,201,232,153,89,89,198,218,214,213,212,212,210,208,178,183,189,193,197,200,203,208,203,240,227,189,140,107,102,147,255,198,107,79,201,222,216,215,214,214,213,210,181,184,190,195,198,202,206,209,205,251,244,170,127,117,136,149,255,231,141,75,191,225,217,217,216,216,215,212,182,185,192,197,199,204,208,211,207,254,228,162,137,141,149,197,255,236,169,87,182,227,218,219,217,218,216,214,183,187,192,197,200,204,209,213,210,255,240,185,160,162,173,247,255,223,173,93,182,230,221,222,220,219,218,216,183,189,194,198,202,206,211,215,211,254,251,204,164,182,203,255,255,214,164,98,184,235,223,223,221,221,220,218,183,188,193,198,203,206,211,217,212,252,255,217,180,187,230,255,249,207,159,96,187,234,223,224,223,222,221,221,183,189,194,199,202,206,212,217,211,249,255,219,204,191,245,255,232,201,148,89,182,235,222,224,222,221,222,220,187,193,198,200,204,209,214,218,215,241,255,230,227,206,237,255,221,192,147,79,181,236,223,225,224,223,224,218,189,192,196,200,206,210,214,219,218,229,255,242,235,224,210,236,198,183,135,74,185,238,225,227,227,223,225,229,188,192,198,202,207,209,214,219,220,219,255,255,235,210,187,206,176,182,130,77,207,235,226,229,226,233,225,176,192,196,201,206,209,213,216,221,232,231,255,254,219,176,156,182,173,176,111,95,235,230,228,227,237,208,120,75,178,186,192,197,203,209,216,213,166,132,235,240,188,155,143,188,171,160,75,159,255,236,238,244,205,103,77,68,115,117,120,121,124,127,130,139,59,0,181,248,198,153,153,207,149,124,53,76,161,167,169,172,102,65,64,50,83,90,94,95,92,90,92,110,119,49,109,225,193,155,175,207,114,89,26,0,65,92,94,104,77,46,40,44
21,188,192,193,196,198,200,201,204,207,208,208,207,206,211,209,209,210,210,208,208,209,208,210,210,207,207,206,204,190,193,195,198,200,202,204,206,207,209,207,215,224,191,210,213,212,212,211,211,211,211,211,211,210,208,209,207,192,195,198,200,202,205,207,207,208,212,208,228,254,183,184,219,214,214,215,214,214,214,213,212,214,213,211,208,194,197,199,201,204,206,208,210,211,214,215,212,255,216,157,213,218,215,217,215,215,216,214,217,207,203,214,210,194,198,201,203,205,207,210,212,214,215,217,212,236,245,185,191,222,217,218,217,218,218,215,237,195,159,218,213,195,200,203,205,206,209,212,214,216,215,216,215,221,255,225,175,215,222,220,220,220,217,222,246,183,164,221,213,197,201,204,206,208,211,213,216,217,217,218,220,216,255,242,177,195,225,221,221,221,216,238,240,167,187,222,214,200,202,206,207,210,213,214,216,218,219,220,222,216,245,254,193,178,226,222,222,222,223,252,225,164,209,223,219,202,204,207,209,213,215,216,218,219,220,222,223,219,234,250,215,169,223,225,225,221,235,244,200,162,224,220,220,202,206,209,212,214,216,218,220,221,223,224,221,233,255,241,221,153,184,232,222,226,249,234,169,182,230,220,221,204,207,210,213,215,217,220,220,221,223,223,229,239,255,245,218,180,150,214,230,237,251,223,158,216,228,223,222,206,208,210,214,217,220,221,221,222,225,227,255,234,225,255,235,227,214,177,205,229,234,188,171,234,225,226,224,206,209,213,215,219,221,221,222,226,225,237,248,248,230,213,221,255,238,173,147,191,193,153,202,234,226,227,226,207,211,213,216,220,221,222,224,227,223,240,240,212,176,128,138,228,238,189,143,156,159,149,227,229,228,228,227,209,212,214,217,221,222,224,227,229,224,244,235,175,173,156,136,177,255,216,160,136,138,163,236,229,229,228,228,209,213,215,219,221,223,226,228,229,227,248,244,228,206,165,167,161,249,240,179,136,124,181,241,231,232,230,230,210,214,217,220,222,225,227,229,230,227,255,255,218,188,168,187,183,250,255,204,152,120,186,242,231,233,233,232,213,216,219,221,223,226,227,229,232,230,255,244,197,183,189,204,214,255,255,217,171,127,181,244,231,233,233,232,212,215,218,221,224,227,228,230,232,232,255,249,218,211,210,212,242,255,250,215,175,128,181,244,232,234,233,233,211,214,218,221,224,227,227,229,232,229,255,255,229,214,220,228,255,255,248,208,182,131,178,245,232,234,233,233,213,217,219,221,225,227,228,230,233,229,255,255,241,216,225,238,255,255,252,210,181,134,182,246,234,235,234,234,214,218,221,223,226,227,229,232,234,230,255,255,244,227,226,249,255,255,245,206,178,132,187,246,235,236,236,235,215,219,221,223,226,228,230,233,236,234,251,255,249,246,236,252,255,255,237,208,172,130,182,250,237,239,238,237,216,219,221,226,227,229,233,235,237,237,243,255,255,255,250,246,255,246,229,205,165,127,178,251,238,240,238,238,217,220,223,226,227,231,234,235,237,238,236,255,255,255,253,241,250,230,215,201,159,123,185,251,239,239,243,241,211,216,219,222,227,231,233,235,238,240,237,252,255,255,240,222,232,222,205,206,155,115,213,255,246,249,230,173,161,162,165,169,171,172,176,178,178,178,180,199,255,250,223,197,207,223,203,201,145,115,196,207,205,210,153,127,135,136,137,136,135,137,140,139,136,140,126,113,249,232,203,188,201,224,192,191,130,100,118,134,141,143,121,122
24,138,141,145,147,150,152,154,157,158,160,161,164,165,166,167,169,170,172,174,174,175,176,176,176,176,177,178,178,138,141,144,147,150,152,155,157,159,161,162,164,166,167,169,170,171,172,174,174,175,177,177,177,178,179,179,179,139,142,145,148,151,153,155,158,160,162,164,166,168,169,170,172,172,173,175,176,177,178,178,179,179,180,180,180,139,143,146,149,151,153,156,159,161,163,165,167,169,170,172,173,173,174,176,177,179,179,180,181,181,181,180,180,140,143,146,150,152,154,157,159,162,164,166,168,170,171,172,174,175,175,177,179,180,180,180,181,181,181,181,180,140,144,148,150,151,155,158,160,163,165,166,168,170,171,172,174,176,176,178,180,180,181,181,181,181,181,182,181,141,144,153,149,139,153,158,161,164,166,167,169,169,168,169,174,172,167,172,179,181,181,181,181,182,182,182,183,142,145,157,154,129,144,158,161,164,166,166,170,170,156,147,167,169,147,144,170,181,181,182,182,183,183,183,183,142,145,153,157,134,132,156,162,166,166,155,164,177,158,133,153,170,145,117,141,178,183,183,184,184,184,182,179,143,145,150,159,151,134,147,162,173,176,155,151,175,162,135,145,171,148,111,112,168,183,184,185,185,182,170,156,142,146,150,158,168,150,136,155,180,188,164,145,167,167,136,134,165,144,106,95,156,184,184,184,183,173,148,125,143,146,150,154,166,161,141,147,173,192,174,145,151,167,140,122,150,132,98,84,142,182,184,182,175,160,131,112,143,147,150,153,159,167,167,160,166,184,176,144,129,152,139,112,128,123,97,79,118,174,181,171,161,144,118,124,143,147,151,153,156,167,176,173,174,180,169,138,115,131,135,108,115,130,105,80,99,152,165,157,145,123,115,151,144,147,150,153,157,162,174,177,174,174,163,140,121,121,140,119,114,144,117,98,119,140,151,147,125,110,143,178,144,147,151,154,157,160,172,181,167,155,150,146,137,123,145,133,108,140,135,140,154,149,142,129,111,131,174,186,144,148,151,154,157,160,169,180,160,146,142,145,142,131,140,132,117,149,167,169,161,145,128,113,120,166,186,188,144,148,152,155,157,160,169,186,172,152,139,139,146,151,148,148,160,175,177,169,156,138,117,110,146,183,188,188,145,148,152,155,158,162,168,191,186,164,144,138,152,167,176,184,187,182,175,164,148,127,107,122,173,188,189,189,145,149,152,155,158,162,167,191,195,174,158,146,151,168,185,197,192,183,175,160,138,114,105,147,185,189,189,189,146,149,152,155,158,161,165,186,198,183,171,159,154,168,185,195,191,183,173,155,132,107,122,173,188,189,189,189,146,150,153,155,158,160,164,177,195,190,179,168,160,168,182,191,187,178,166,150,128,113,153,186,189,189,189,189,145,149,153,156,158,161,164,170,185,192,183,170,161,167,179,185,180,168,154,138,119,135,178,189,190,190,190,190,145,148,152,155,157,161,164,168,178,190,181,169,161,166,173,176,171,158,141,121,120,165,187,189,190,190,191,191,144,147,151,154,156,160,163,166,174,182,173,168,164,165,169,171,165,152,131,112,139,182,188,188,189,189,189,190,142,146,150,152,155,159,161,164,171,176,172,174,172,171,171,168,159,145,123,111,158,186,187,187,188,188,188,189,141,145,149,151,154,158,160,163,172,184,183,183,179,175,170,163,154,138,115,115,169,186,186,186,187,188,188,188,141,145,149,151,153,157,160,162,174,192,188,185,180,174,165,159,151,133,109,120,175,186,186,186,186,187,188,188
2,186,186,187,187,187,187,187,186,186,184,183,183,182,181,180,180,180,176,176,176,175,173,173,170,169,167,166,166,188,189,189,188,188,188,188,187,187,186,186,185,184,183,181,181,182,178,179,179,177,174,173,172,171,169,167,165,189,188,189,189,189,188,189,189,188,187,187,187,186,186,182,183,184,182,181,180,179,176,173,173,172,171,168,165,191,190,191,191,190,190,191,190,189,189,189,187,184,180,181,179,178,183,183,182,181,178,175,174,172,171,170,167,193,193,193,192,192,192,192,191,190,191,188,196,190,175,177,173,155,159,164,168,170,174,178,177,173,172,171,169,194,195,194,194,194,193,193,193,193,190,200,222,214,208,208,207,189,162,137,123,122,156,168,172,175,173,172,171,194,195,194,194,194,193,195,194,194,184,187,200,194,186,189,196,192,187,163,127,131,158,130,140,181,173,172,172,195,196,196,196,195,195,196,192,197,209,198,202,206,193,177,164,142,151,170,165,181,143,104,157,181,174,173,172,196,198,198,197,197,197,195,198,222,212,202,201,204,200,191,184,154,158,162,142,147,119,138,184,178,177,176,173,197,198,199,199,198,198,195,220,208,165,151,165,177,166,165,197,162,151,163,110,130,151,179,182,179,177,177,175,199,199,200,200,199,198,215,218,178,179,194,197,197,180,178,187,134,111,130,142,187,187,185,186,184,179,177,177,199,199,200,200,200,202,224,199,197,217,220,195,169,157,140,135,148,179,181,189,189,190,180,161,151,171,181,177,200,200,200,201,200,209,211,210,210,194,169,146,116,102,80,126,202,192,195,189,191,159,114,98,96,108,170,180,201,201,201,201,201,210,215,221,189,146,117,95,87,83,73,85,194,193,190,197,152,93,100,109,114,91,153,184,200,201,202,200,198,217,227,200,159,119,92,81,82,78,80,67,123,206,201,173,97,104,116,121,113,120,175,181,200,201,203,198,195,233,221,171,126,104,89,78,81,81,81,80,74,127,181,127,94,122,121,110,135,173,182,179,202,202,204,197,205,238,199,148,115,107,84,76,82,80,81,83,87,70,77,103,106,118,109,133,186,184,180,180,203,203,204,195,206,220,177,135,115,98,76,81,83,89,90,93,98,94,77,104,111,107,111,176,189,184,182,180,202,202,203,195,202,211,171,133,108,91,78,82,90,97,100,105,108,111,95,106,114,105,139,193,186,186,184,182,199,200,203,189,205,213,171,134,107,95,79,83,94,105,110,114,119,123,110,101,116,104,167,192,186,186,184,181,201,201,205,181,206,207,167,137,114,102,86,84,97,112,123,126,129,127,117,104,108,148,188,187,186,183,179,179,202,202,207,184,204,200,163,137,116,108,97,85,102,119,125,127,131,125,112,111,159,190,189,187,184,184,202,219,201,202,206,184,199,198,167,141,122,114,104,87,102,119,124,125,124,121,104,146,198,189,189,187,204,208,238,240,200,201,206,184,196,193,161,140,128,118,105,91,106,114,117,117,115,106,126,185,192,191,185,228,255,226,214,243,204,206,209,189,193,190,157,140,125,116,107,97,109,108,110,111,106,129,185,198,197,187,217,255,242,255,217,215,175,175,180,168,191,188,158,139,121,114,110,105,109,108,106,109,131,172,181,179,169,212,249,251,239,231,249,203,106,107,104,119,204,183,154,130,119,116,114,108,102,108,111,99,102,102,104,91,165,255,248,251,234,217,238,235,106,110,102,149,204,177,153,126,118,116,113,110,101,108,107,99,98,101,90,139,255,247,248,254,227,207,232,234
16,155,156,157,160,165,168,171,174,177,179,180,182,185,186,187,188,189,191,193,192,192,193,192,192,192,191,191,192,156,157,158,160,165,169,172,174,178,179,180,183,185,187,189,191,192,192,194,195,195,195,193,193,194,193,193,192,155,157,158,160,165,170,173,176,178,180,181,185,186,184,176,169,163,160,159,164,172,187,196,195,194,194,193,193,157,158,158,161,166,171,173,177,179,177,175,170,160,152,140,129,119,116,116,107,99,104,140,175,196,194,195,195,157,157,158,162,167,169,174,172,180,155,152,143,139,139,134,125,116,105,103,104,93,77,76,84,137,195,197,195,156,157,159,164,167,173,186,186,194,163,152,138,131,135,130,122,116,109,98,100,100,83,79,76,73,140,201,196,157,158,160,164,166,178,200,199,195,171,154,134,123,125,124,122,114,113,102,98,96,86,84,80,82,78,171,201,156,158,160,164,166,173,192,201,196,168,149,121,114,114,114,118,114,110,108,100,95,89,85,81,84,76,106,204,157,158,160,164,166,179,191,206,195,165,134,111,97,104,106,112,113,109,113,109,94,91,92,84,77,85,71,170,157,159,161,164,165,180,194,207,188,155,113,96,78,91,106,116,121,117,119,116,96,90,96,81,79,87,75,104,157,159,162,165,169,175,197,206,179,136,100,91,64,49,105,120,135,134,134,122,100,93,100,81,81,87,86,65,158,159,160,165,169,170,198,201,166,123,92,79,47,23,81,114,135,157,156,134,102,95,101,82,82,87,90,78,158,159,160,164,169,171,193,191,150,116,85,71,63,45,69,95,139,167,157,134,101,97,92,83,82,85,89,89,157,158,161,165,169,172,185,174,133,108,76,79,77,74,78,74,156,162,141,128,106,97,85,84,85,86,88,91,155,156,159,163,166,171,178,162,118,88,66,83,82,78,73,89,167,148,136,123,105,86,85,85,84,88,89,91,154,156,159,163,167,173,187,155,100,88,60,76,81,99,136,161,160,134,131,113,87,78,84,87,86,88,88,89,156,157,160,164,167,175,188,148,96,114,102,123,161,189,189,169,139,129,119,96,75,79,84,88,89,89,88,87,156,157,160,165,168,175,194,144,87,162,187,190,193,194,182,159,122,111,103,97,79,80,84,88,92,91,90,89,155,157,160,165,167,176,188,133,91,179,189,190,192,192,182,146,113,90,114,115,88,84,85,88,92,91,92,91,154,156,160,164,167,176,181,112,106,188,188,188,190,193,184,143,102,96,158,135,104,93,87,89,90,91,92,93,154,157,160,163,166,176,172,95,127,188,187,188,191,193,187,150,84,129,190,150,120,101,92,88,90,92,93,95,151,154,158,163,164,186,163,86,153,186,187,188,191,194,185,160,91,151,203,159,135,113,100,92,91,91,92,94,150,153,157,158,156,196,137,91,166,175,178,180,180,182,175,157,110,134,195,160,147,125,110,99,95,94,94,96,111,112,114,115,112,140,105,93,114,116,116,120,121,121,122,121,109,106,120,120,152,136,121,110,104,98,96,97,103,103,103,105,104,104,102,101,103,105,104,104,105,103,104,104,102,101,98,98,139,145,131,118,110,104,100,98,106,107,107,108,109,108,108,107,108,110,111,109,109,109,109,108,109,108,107,102,125,155,139,125,116,111,106,103,107,107,107,108,109,108,106,108,109,109,109,109,108,109,108,107,112,116,115,111,114,156,148,133,123,118,112,107,108,108,107,108,109,108,107,109,108,108,108,108,107,109,108,107,108,108,109,109,107,154,156,144,134,126,115,109
0,151,151,153,153,153,154,154,154,154,154,154,154,154,153,154,154,154,153,152,151,152,152,150,149,149,150,149,148,153,154,154,155,155,155,155,155,154,154,154,156,155,155,155,154,153,154,155,154,152,154,153,149,150,152,151,150,154,156,157,157,157,158,157,157,156,157,157,156,155,156,157,159,155,155,155,157,154,149,143,154,151,152,151,152,157,159,159,157,158,159,159,159,158,157,158,159,158,158,143,128,148,153,134,123,151,155,99,150,154,152,152,153,158,159,158,158,159,160,160,160,159,159,150,134,152,169,147,112,92,141,131,110,95,138,109,112,162,152,153,153,158,159,159,159,161,160,160,160,161,174,155,118,124,171,148,132,89,135,138,129,90,81,144,97,126,155,156,154,158,160,160,161,161,160,163,142,135,178,158,139,125,168,148,139,87,140,141,126,98,56,127,128,98,103,158,154,159,160,160,162,160,166,177,156,115,151,174,142,117,174,155,134,77,147,139,107,103,40,85,143,124,71,136,160,160,161,162,163,161,174,176,167,146,114,177,147,106,170,159,129,75,121,127,90,90,31,95,154,137,85,122,164,161,163,163,163,168,168,166,173,152,96,156,155,100,147,159,117,74,76,103,83,74,33,127,157,139,87,114,167,161,162,163,161,168,156,124,148,129,83,123,142,94,107,130,94,79,49,72,89,65,54,138,153,134,84,106,167,161,162,164,163,166,169,133,138,109,67,97,118,85,73,102,83,65,39,102,138,119,115,132,141,128,80,102,168,162,165,166,165,169,179,153,142,111,80,84,103,85,57,84,98,95,133,158,146,138,129,113,118,122,84,93,168,164,166,167,165,174,174,149,130,115,93,64,110,109,47,89,154,167,169,157,144,132,121,107,98,107,90,88,166,165,166,167,164,180,187,170,152,131,103,80,105,104,110,162,176,170,161,152,140,128,115,99,91,94,82,101,168,167,166,168,166,181,190,175,156,137,132,132,128,146,172,177,170,165,155,148,136,122,106,91,87,89,75,141,168,167,168,169,166,185,195,177,158,144,140,139,151,164,169,174,170,158,153,141,127,117,99,87,91,77,119,169,164,167,168,171,169,187,198,183,169,158,149,151,161,168,171,172,161,154,150,132,120,107,92,90,80,94,169,166,166,167,168,170,167,185,199,189,175,162,154,152,163,172,170,164,152,145,141,125,111,98,92,87,74,147,170,165,165,168,169,171,169,179,198,195,183,165,152,147,152,157,154,154,141,128,128,111,100,97,88,74,130,172,166,167,167,170,170,171,172,173,192,190,179,165,151,145,150,152,155,152,138,122,119,102,95,88,82,130,171,166,168,169,167,171,171,172,172,170,180,180,167,156,141,144,150,145,153,147,134,125,115,99,83,84,146,173,169,168,169,169,168,170,172,172,173,173,177,167,164,159,150,161,153,133,148,145,128,116,106,89,71,145,176,168,169,169,169,170,169,171,172,173,173,173,177,173,179,172,164,162,155,127,139,145,124,108,98,67,109,179,169,172,172,171,170,170,169,172,173,173,173,173,178,188,186,177,156,154,151,121,137,134,118,105,88,67,153,177,171,172,172,170,171,171,171,172,173,174,174,173,171,195,186,174,148,150,147,125,131,122,115,103,76,78,171,173,173,173,172,171,172,172,171,172,173,174,174,173,169,190,180,167,144,151,154,123,116,120,111,101,73,89,179,172,174,173,173,172,173,172,171,172,172,173,173,173,171,188,172,160,143,152,150,114,122,119,107,98,72,91,179,173,174,173,173,173,173,173,172
12,153,155,155,155,156,157,158,158,158,159,159,159,160,160,160,160,160,160,160,160,159,159,159,160,158,159,159,158,154,155,156,158,157,158,160,160,159,160,160,160,161,160,161,161,161,161,161,161,160,159,159,161,160,160,160,159,154,155,157,159,159,160,161,162,161,161,162,162,162,162,162,163,162,163,163,162,161,161,161,161,161,161,161,160,155,157,157,159,160,160,162,163,161,162,163,163,163,162,163,164,164,165,164,163,163,164,163,162,162,163,162,161,158,159,160,160,160,160,163,164,162,162,163,165,163,171,164,160,166,164,165,167,164,165,164,164,164,164,163,163,159,160,161,162,162,163,163,165,163,171,174,160,171,185,173,132,143,174,166,153,166,164,165,166,165,165,165,164,160,161,162,162,164,165,165,162,176,202,188,147,160,192,177,118,98,176,168,119,138,170,165,167,166,167,167,165,160,161,163,165,165,164,166,160,184,206,191,146,149,198,176,126,89,173,160,118,94,168,169,168,167,167,168,167,161,163,165,165,166,167,166,163,189,203,192,145,145,200,172,138,114,177,146,105,79,155,174,169,169,168,168,167,162,164,165,165,167,164,179,188,164,175,192,170,127,196,181,137,131,178,153,101,72,146,176,169,170,170,170,169,162,165,166,166,167,167,204,189,143,133,169,159,107,184,179,109,136,185,140,93,69,141,179,170,171,171,170,169,164,166,168,169,164,186,206,192,164,113,145,117,74,117,121,83,142,150,97,73,68,139,181,171,173,172,171,171,166,168,168,170,166,196,203,198,171,129,116,113,65,59,75,144,165,145,105,107,93,141,182,172,173,173,172,171,167,168,171,169,171,200,182,196,175,149,101,83,92,75,144,203,197,176,147,146,115,143,182,173,174,173,173,172,167,170,171,168,177,206,190,175,176,152,113,82,83,132,206,201,193,176,149,137,107,127,184,175,175,173,174,173,169,171,171,168,190,206,196,156,171,152,123,89,79,193,206,200,192,177,154,127,96,128,186,176,177,174,174,175,170,171,173,168,195,206,200,179,156,151,161,113,112,206,203,200,191,173,143,122,92,130,186,176,178,177,176,177,171,172,175,170,187,206,202,183,153,134,153,146,174,206,201,201,191,168,141,119,95,113,184,177,179,178,177,177,172,173,175,171,190,206,204,188,175,162,146,183,201,206,198,199,191,164,146,115,93,106,186,179,178,179,178,177,173,173,176,172,192,206,205,198,189,184,169,185,194,206,194,193,185,166,141,112,83,126,189,179,180,179,180,179,173,174,177,173,189,206,205,203,195,186,174,179,185,203,191,183,177,167,130,106,80,163,184,180,181,180,181,180,173,175,177,176,182,206,205,204,196,181,172,179,180,196,186,174,173,157,121,88,106,189,179,181,182,181,182,180,173,174,177,178,177,201,205,201,193,175,166,175,176,186,178,170,164,140,105,75,157,188,182,183,183,182,182,181,174,177,179,183,180,200,206,197,188,175,171,179,184,198,186,171,154,123,79,108,191,183,184,183,183,183,183,182,173,168,164,159,147,156,152,130,126,124,123,128,124,130,119,110,106,93,70,172,200,185,186,185,185,185,185,183,124,120,112,105,89,79,77,71,64,58,52,49,37,36,37,35,35,38,42,86,143,186,187,184,185,185,185,184,105,106,107,100,90,83,80,73,67,61,57,49,42,40,40,38,34,31,29,21,26,168,189,183,184,184,183,183,118,105,107,98,89,82,77,71,66,58,53,48,41,38,39,37,32,29,32,20,77,191,182,185,184,183,183,183
10,153,156,159,163,165,168,170,171,171,172,173,174,176,175,176,176,176,176,176,176,176,176,177,176,176,176,174,173,155,158,162,165,168,170,172,174,174,176,177,177,178,178,179,178,179,179,179,179,179,178,179,179,178,178,177,177,159,162,165,168,171,173,176,177,179,179,179,180,182,181,181,184,183,182,182,182,181,181,181,182,182,181,180,180,161,165,168,171,174,177,179,180,182,183,184,184,183,186,183,149,185,186,185,185,183,185,185,185,185,185,184,182,163,166,170,173,177,180,182,184,185,185,186,186,185,189,199,129,160,195,185,186,186,187,188,188,188,186,186,185,165,169,173,176,179,182,185,186,186,188,189,190,190,188,202,171,128,190,190,189,189,191,190,190,190,189,188,187,168,171,175,178,181,185,186,188,189,189,190,191,194,192,200,200,141,166,199,191,191,192,193,193,192,192,191,189,170,173,178,181,184,186,188,189,191,192,192,192,188,186,202,221,178,138,198,194,194,194,194,194,194,192,193,192,171,175,179,184,186,188,190,191,191,194,193,200,186,123,171,228,207,132,173,202,197,199,197,198,197,195,194,193,173,176,181,185,187,190,192,193,195,196,196,201,204,145,110,209,220,151,141,207,197,199,199,199,198,198,198,196,175,180,183,185,189,192,193,196,197,198,199,197,220,208,154,155,206,175,122,204,199,201,202,201,201,200,199,199,176,181,184,187,190,193,194,197,199,200,199,212,194,234,201,124,141,195,110,192,204,203,204,203,203,202,201,201,178,181,185,188,191,194,197,198,199,200,210,212,152,161,204,139,97,137,106,174,211,202,205,204,204,205,204,204,178,181,186,189,192,196,198,200,197,215,222,196,149,73,163,175,110,81,86,128,214,205,206,206,205,205,206,205,179,183,186,190,193,197,199,200,198,216,230,158,103,39,106,172,139,89,77,92,196,211,206,207,206,206,206,206,180,184,187,192,195,199,199,204,214,193,224,184,117,45,83,160,163,131,89,83,174,216,207,209,209,207,206,206,180,184,189,193,196,199,199,206,229,211,194,225,192,88,96,187,178,157,99,75,163,220,208,211,212,209,208,207,182,184,188,193,197,200,201,203,205,230,200,180,210,160,149,206,183,161,107,70,159,222,209,212,212,210,210,209,180,184,188,192,196,198,199,205,182,191,193,134,184,189,126,210,184,152,117,73,152,223,210,212,212,210,210,210,181,185,189,191,195,198,199,203,215,184,167,145,125,171,194,221,193,151,108,77,152,222,210,212,211,209,209,209,181,184,189,192,195,198,199,202,224,214,170,155,149,224,237,218,187,141,104,80,160,222,210,211,211,210,210,211,181,185,189,192,195,198,201,200,214,222,190,185,181,233,223,205,176,126,104,84,151,223,210,212,211,211,210,211,183,186,190,193,195,198,199,201,207,221,201,212,188,228,215,186,163,128,119,95,141,223,210,212,212,212,211,211,181,186,192,195,199,202,204,207,209,215,213,221,190,204,210,181,167,140,144,102,152,226,212,214,214,213,212,212,117,122,127,129,134,141,145,146,147,207,224,218,200,177,197,182,180,155,142,99,154,208,201,206,208,210,211,212,103,103,101,98,99,100,102,104,96,159,222,203,191,175,177,187,197,158,126,100,105,114,116,119,123,125,125,128,108,109,109,113,115,114,112,112,111,115,199,186,180,174,172,191,197,155,118,98,113,113,110,111,110,109,108,107,107,107,107,110,110,113,111,109,113,102,174,192,179,177,185,180,186,155,114,98,123,121,118,123,122,122,123,124
8,174,177,179,181,182,183,185,186,186,185,186,186,187,185,184,184,182,182,181,180,179,178,177,176,175,175,174,172,176,178,181,177,167,185,187,187,186,186,186,187,187,186,186,185,184,183,182,181,180,180,179,178,177,176,175,173,178,179,187,175,129,175,189,189,187,187,187,188,188,188,187,187,185,184,185,184,182,182,181,180,179,178,177,175,179,181,191,184,119,155,191,191,191,190,189,189,189,189,188,188,187,186,186,185,183,183,183,180,180,179,177,177,180,183,189,195,122,141,194,192,193,191,191,190,191,190,190,188,187,187,187,186,185,184,183,182,182,180,179,179,181,185,188,191,127,131,195,194,195,193,194,192,193,193,192,191,189,190,188,187,186,185,186,185,183,183,181,180,184,187,189,199,155,121,191,196,194,182,179,193,190,173,179,193,193,192,190,189,188,187,187,186,186,185,183,181,185,187,188,202,169,113,178,198,209,187,150,171,198,155,133,175,176,184,192,190,190,189,188,188,187,185,184,182,186,189,190,200,178,128,152,200,223,216,167,128,191,169,160,131,128,132,183,193,192,192,189,190,189,186,184,183,189,191,192,200,201,155,142,191,216,225,188,120,157,171,176,162,148,137,150,181,192,193,191,192,190,187,185,185,191,192,193,197,206,159,151,181,190,213,192,126,124,159,147,184,190,188,160,125,184,193,192,191,191,189,186,185,191,193,195,197,208,189,169,190,186,189,193,128,102,136,102,160,182,194,166,109,175,195,192,192,192,191,189,187,192,195,197,198,217,209,163,161,176,163,192,154,100,115,93,131,178,199,171,109,173,196,193,193,193,193,191,188,193,196,198,199,214,193,146,140,147,137,175,184,118,96,85,137,196,210,175,110,174,198,195,195,195,194,193,190,195,197,199,199,216,210,170,140,129,125,141,154,123,103,88,150,202,211,172,109,174,199,197,197,196,195,194,191,195,198,200,199,220,218,184,147,125,122,125,167,163,131,143,183,200,198,154,100,164,201,198,197,197,196,194,191,195,198,200,201,224,218,190,162,129,113,135,184,191,191,197,192,177,165,129,93,156,202,200,198,198,197,195,192,194,198,201,203,227,219,196,175,147,117,132,182,215,220,211,186,155,131,108,94,180,202,200,199,198,197,195,193,196,199,202,204,228,220,200,180,161,130,134,192,225,223,204,176,138,108,87,129,201,202,201,200,199,197,195,194,198,200,203,205,224,224,207,188,173,143,145,205,223,210,182,156,120,90,93,184,204,203,202,201,200,199,197,195,199,201,205,206,220,226,212,194,181,152,150,208,211,188,160,133,105,80,144,206,204,204,203,201,201,200,198,197,199,201,204,206,216,227,216,197,178,151,153,197,196,175,149,119,91,99,193,206,205,204,203,201,201,200,199,197,198,200,203,205,216,229,214,191,166,139,155,182,170,159,141,108,81,156,207,204,204,204,203,201,200,200,198,197,199,202,205,202,220,226,205,183,156,145,159,170,150,140,130,90,112,200,206,205,205,205,202,201,201,199,198,197,199,202,205,202,229,223,205,186,164,159,162,157,140,129,109,96,180,208,206,206,205,205,203,203,201,199,200,194,199,201,202,210,231,218,205,188,168,167,159,139,130,113,90,153,207,207,206,206,205,205,204,203,202,194,159,115,200,202,197,217,223,201,190,177,165,164,149,123,117,93,116,199,209,208,207,206,206,206,201,180,145,101,62,46,200,202,195,222,218,187,166,157,155,162,143,108,110,83,163,210,209,208,206,198,183,165,129,84,49,33,32,35
1,160,164,168,168,171,174,176,177,177,179,179,180,181,180,180,181,181,180,180,180,181,180,181,180,180,179,178,177,163,167,171,172,175,177,178,179,180,181,182,183,182,183,183,183,184,184,184,183,183,184,184,185,184,182,181,181,166,170,173,175,178,180,182,183,183,184,185,185,186,185,189,189,186,189,188,186,187,188,188,188,187,186,185,184,169,173,176,178,182,183,185,185,186,188,188,188,190,193,170,178,192,189,190,189,190,190,190,190,189,189,187,185,172,175,179,182,185,187,188,188,190,190,189,193,183,201,161,133,208,194,190,191,192,192,192,192,190,189,189,188,174,178,182,186,187,190,191,191,191,192,190,208,176,163,174,110,163,176,197,193,195,195,195,194,193,192,191,190,177,182,185,188,190,192,193,194,193,195,193,213,176,156,187,104,147,123,200,196,198,198,198,197,196,196,194,193,181,185,187,191,193,195,196,198,197,198,191,216,185,152,204,124,159,122,178,204,199,199,200,200,199,198,197,195,184,187,189,193,195,197,198,199,199,205,178,173,208,139,203,137,156,143,154,210,200,202,201,200,201,199,199,197,186,190,193,195,198,198,199,203,200,213,175,140,214,134,189,153,170,187,135,206,204,205,205,204,203,202,201,199,187,191,193,197,198,200,202,204,201,217,181,146,211,139,191,173,152,203,135,189,211,205,207,206,205,204,203,202,188,192,195,197,200,202,204,205,203,223,182,154,230,157,182,189,135,207,153,163,218,207,208,207,206,206,205,204,190,195,197,199,202,204,205,208,205,220,180,145,224,140,143,190,119,211,177,144,217,209,210,210,208,209,207,206,192,196,199,201,204,205,206,210,207,221,197,127,194,151,144,179,143,190,171,135,207,213,212,211,210,210,209,207,192,196,200,202,204,207,209,210,209,226,186,126,167,214,170,168,204,171,147,126,187,220,211,212,213,211,211,210,193,197,201,203,206,209,211,211,211,220,192,188,148,181,186,211,204,160,146,127,147,225,212,214,215,213,212,212,194,197,203,205,207,209,211,210,215,218,195,188,145,162,221,219,199,209,166,125,114,216,217,216,216,214,213,214,195,199,202,206,209,210,211,210,218,225,181,161,170,197,193,162,159,237,222,176,106,196,222,216,218,218,217,215,194,198,203,206,208,212,211,211,218,239,185,155,155,147,135,141,187,219,218,184,135,169,228,216,218,218,217,216,196,198,202,205,206,209,210,211,215,247,205,150,163,163,187,221,234,209,198,165,116,154,229,217,218,218,217,218,196,198,202,206,207,209,212,212,213,242,230,159,181,173,217,238,233,217,188,158,96,154,231,217,218,218,217,218,196,199,203,206,208,211,212,213,213,239,244,177,194,177,209,244,242,218,176,145,94,162,231,217,219,219,218,217,196,199,202,204,207,210,212,214,212,231,242,199,210,187,192,248,241,206,168,133,95,189,229,219,220,219,219,218,199,202,207,208,209,212,214,214,213,220,239,221,210,199,176,242,233,197,162,122,97,208,225,221,220,220,220,219,182,186,191,198,201,207,208,210,214,211,234,238,213,194,164,221,225,185,150,113,113,229,230,231,226,220,220,221,110,112,114,119,124,124,127,130,135,131,215,231,201,186,160,192,206,171,137,114,123,190,186,186,205,228,223,217,112,112,111,111,112,112,112,112,114,102,192,220,194,182,157,173,195,167,129,114,109,104,130,181,211,209,219,216,112,116,123,121,120,118,116,116,119,109,189,220,198,176,163,172,193,160,114,108,131,188,231,233,208,181,180,214
15,144,135,113,121,82,76,131,11,11,53,50,54,58,61,64,77,92,105,115,119,123,131,135,140,144,146,149,153,151,136,115,126,76,92,130,0,21,54,52,54,59,63,67,81,95,108,118,121,126,135,139,143,147,150,153,157,158,133,118,131,68,109,123,0,31,56,53,55,60,63,68,84,98,111,120,123,129,136,142,146,150,153,156,159,161,136,124,133,63,126,110,0,39,56,54,56,60,63,70,87,101,113,121,125,132,139,145,149,152,156,159,162,162,136,130,132,63,142,94,0,48,56,55,58,63,64,72,88,104,117,125,128,134,142,148,152,155,159,163,165,161,135,136,126,65,153,76,0,53,53,53,56,58,60,74,92,106,119,126,129,135,144,150,156,160,163,166,169,162,135,139,117,70,162,59,0,62,59,65,72,81,78,73,93,109,124,133,134,142,152,160,161,162,166,170,173,159,139,149,118,99,123,98,91,90,89,99,101,96,85,77,79,86,98,112,123,130,131,137,160,176,172,172,177,153,145,142,103,100,101,95,91,77,82,81,76,72,76,88,85,83,84,84,91,102,96,85,84,116,172,187,180,153,143,117,89,87,83,81,76,74,78,77,78,76,85,95,95,89,85,81,88,105,103,94,79,56,72,143,192,153,142,146,85,93,88,62,66,69,77,79,77,79,91,95,92,88,81,82,98,95,94,94,86,76,61,52,96,151,144,155,73,141,138,0,43,62,58,61,63,68,79,94,100,95,82,91,95,97,94,95,84,79,81,72,52,149,152,152,69,154,120,0,47,60,55,58,61,62,66,86,120,151,117,102,96,93,94,90,90,79,91,88,69,151,156,147,70,168,104,0,54,60,56,58,62,63,70,88,151,145,119,92,94,83,74,79,90,80,102,101,80,155,157,140,77,175,86,0,59,59,56,59,62,65,63,121,159,116,103,50,54,60,35,59,106,92,114,102,84,159,162,130,83,179,68,0,63,58,56,59,62,62,77,160,130,102,87,51,17,21,0,66,138,120,116,88,80,161,165,121,93,183,51,0,66,58,58,59,63,55,136,175,114,92,70,36,14,11,0,91,145,137,119,82,72,161,169,110,105,183,36,5,68,58,57,59,63,57,147,167,128,91,61,14,9,6,12,109,146,153,129,86,69,165,175,101,120,178,21,13,69,57,58,60,63,57,103,174,153,112,69,16,6,41,39,84,143,153,124,87,71,167,180,92,137,178,9,23,69,57,56,58,62,64,72,163,177,139,82,26,0,42,71,98,142,127,101,85,63,169,181,86,153,171,0,32,69,57,56,57,61,64,70,129,195,154,107,76,59,66,121,130,115,88,74,77,60,173,178,80,168,157,0,38,66,55,54,55,57,59,77,101,178,176,159,148,140,148,134,91,73,65,63,64,59,176,173,81,181,142,0,46,63,54,53,53,56,58,77,100,169,156,121,114,125,141,120,69,56,61,48,63,70,178,164,82,192,123,0,53,62,52,51,52,56,61,71,144,168,112,109,108,119,143,119,65,52,49,85,57,48,180,154,91,201,104,0,54,56,49,48,50,55,59,70,163,144,109,102,101,107,127,117,74,49,151,190,49,36,182,144,97,203,91,4,67,62,52,50,49,50,54,71,134,132,108,105,93,82,100,101,70,52,194,200,58,42,186,135,112,189,141,107,106,109,104,100,96,96,99,100,107,118,122,150,151,84,59,130,90,85,175,183,64,48,187,125,123,186,149,86,84,92,91,91,92,98,98,97,91,93,96,98,162,141,69,99,101,95,106,105,62,51
19,212,213,215,215,214,214,214,214,213,213,213,213,212,211,210,211,209,209,208,207,206,206,205,204,203,202,200,199,214,214,215,214,215,215,215,215,214,215,214,213,213,212,211,211,211,210,208,207,207,206,206,204,204,204,201,199,215,215,215,216,218,218,217,220,219,214,215,216,215,213,212,212,212,211,210,209,208,207,207,206,205,203,201,201,215,216,219,219,218,219,210,195,202,221,214,217,216,213,214,213,212,211,211,209,209,208,208,206,205,203,202,201,217,218,219,220,215,236,229,197,158,194,223,216,218,215,215,214,213,213,211,210,210,210,208,207,205,205,204,202,219,219,219,221,217,226,255,224,182,135,209,221,217,216,214,215,214,214,213,212,210,210,210,207,207,207,204,202,220,221,221,222,221,219,250,236,197,130,156,229,217,216,215,216,215,214,213,212,211,211,211,209,208,206,204,204,222,222,222,222,222,216,243,234,188,138,124,219,220,218,218,215,215,215,212,211,212,211,211,210,209,207,205,204,224,222,224,225,221,242,239,214,186,139,118,214,225,223,220,218,217,217,214,213,214,213,211,211,210,209,206,204,223,224,226,220,251,255,237,209,210,199,180,202,205,212,221,222,220,218,216,214,212,213,212,212,211,210,207,206,226,227,222,235,255,226,191,183,204,234,240,225,207,195,186,200,214,219,220,215,214,214,213,213,212,210,207,206,226,227,224,255,255,230,179,140,154,203,236,244,241,233,205,194,186,199,207,216,218,217,214,214,212,210,209,207,229,223,251,255,248,230,210,179,152,163,190,211,224,232,230,229,223,220,195,181,195,210,220,215,212,211,210,208,228,229,255,248,221,208,201,202,208,194,181,175,174,184,201,216,230,241,232,202,183,161,185,213,216,211,210,208,224,249,255,244,202,179,180,168,207,225,211,198,175,143,144,183,187,204,213,214,206,181,170,189,202,214,211,210,230,255,255,242,213,197,192,189,184,204,223,219,199,165,147,188,222,207,197,189,189,192,199,189,172,218,211,211,247,255,255,233,214,212,216,218,211,169,163,198,199,184,172,149,220,229,226,221,210,199,190,185,202,217,212,212,255,255,246,217,193,205,236,228,232,182,144,171,157,173,177,161,222,226,225,225,225,224,218,218,217,213,214,212,255,255,244,203,178,153,194,227,245,213,191,170,158,144,146,204,229,225,225,224,221,220,220,219,216,214,213,211,255,255,233,204,193,188,178,182,170,221,226,183,178,150,197,232,225,226,225,225,223,221,220,218,218,216,213,211,255,255,229,210,203,203,201,188,171,194,204,198,162,180,235,227,226,227,227,225,223,221,220,220,219,218,215,213,255,253,235,218,214,211,200,184,173,171,161,150,189,228,231,229,229,227,227,225,224,222,222,220,219,217,216,213,255,244,226,212,206,213,204,188,172,178,159,184,237,232,231,229,230,228,226,226,224,224,223,222,220,219,216,213,255,242,223,189,168,170,176,177,174,170,181,232,233,232,232,230,227,227,226,226,225,224,222,221,220,219,216,216,243,224,196,160,140,123,175,200,189,210,236,238,238,237,236,234,231,231,232,231,231,227,222,219,222,226,226,217,222,192,161,152,139,131,205,220,216,215,211,211,210,209,208,208,208,208,210,203,196,208,225,233,232,218,212,204,186,166,152,148,143,140,140,138,135,133,133,135,133,132,131,132,132,131,124,145,189,223,226,216,209,216,220,184,162,152,148,145,147,144,141,140,137,135,136,136,135,133,132,133,132,128,180,237,229,218,207,211,196,218,246,192
17,172,175,176,178,180,180,181,182,183,183,184,185,186,187,188,189,189,190,190,190,191,192,192,192,192,193,193,193,174,175,177,179,180,180,181,183,184,184,186,186,187,188,190,190,191,192,192,191,192,192,192,192,194,193,194,193,173,175,177,179,180,181,182,183,185,185,187,188,188,189,190,191,193,193,195,195,193,196,193,194,194,194,195,194,173,175,177,180,182,182,183,184,186,187,187,189,190,191,191,193,194,187,168,182,159,175,199,195,195,195,195,195,175,176,178,180,182,183,185,186,187,188,189,190,191,192,193,194,195,197,164,135,131,151,203,195,196,196,196,196,175,177,179,181,182,184,186,186,188,189,190,191,191,192,194,194,194,211,181,135,111,160,203,195,197,197,196,196,176,178,180,182,183,185,187,187,188,189,190,191,192,192,194,195,193,210,189,151,107,169,204,196,198,198,197,197,176,179,180,182,184,186,187,188,188,189,191,193,194,196,194,196,194,211,200,164,120,186,201,198,198,198,197,197,177,180,181,183,184,186,187,189,190,190,190,194,184,177,200,197,194,214,199,165,136,198,200,199,198,199,199,198,179,180,182,184,185,187,188,190,191,192,192,196,188,152,165,201,201,216,194,164,139,198,201,200,200,200,200,199,178,181,183,184,185,186,189,189,189,189,189,203,192,173,152,170,188,210,195,164,137,197,201,201,201,200,201,200,180,182,182,184,187,188,187,194,201,177,152,183,204,200,201,169,130,165,187,166,138,195,202,202,202,202,200,200,180,181,183,186,188,189,186,202,208,177,145,181,187,207,209,190,145,127,164,158,135,191,204,201,202,202,200,201,180,182,184,187,188,188,191,202,180,194,171,169,155,157,214,204,170,125,137,145,128,190,206,202,203,201,200,201,180,183,184,187,188,188,192,209,169,159,158,126,120,110,208,216,188,137,122,131,123,188,206,202,203,202,202,202,181,183,185,186,189,189,198,198,164,149,156,134,131,128,191,229,197,156,121,130,120,181,208,202,203,203,203,202,181,183,186,188,190,188,202,204,186,173,165,146,156,157,174,234,198,168,129,127,122,174,209,202,204,204,204,203,181,183,186,188,190,188,210,197,172,167,161,153,171,175,201,216,198,176,136,122,117,175,210,203,205,204,204,204,182,183,185,188,191,193,211,184,167,161,158,167,168,208,231,200,187,174,136,117,110,174,211,203,206,204,204,204,182,183,186,189,189,197,215,188,174,163,162,169,186,230,222,203,180,166,134,115,111,182,209,203,205,204,204,204,182,185,188,190,189,201,218,191,180,163,164,171,212,227,212,199,174,160,131,117,115,197,206,203,205,205,204,204,182,186,188,190,187,205,220,194,186,171,163,188,227,222,209,192,165,156,129,112,135,210,204,204,205,206,205,204,183,186,190,191,186,211,221,196,191,184,166,196,229,214,206,194,161,146,128,107,168,212,204,206,205,204,204,203,184,187,190,192,187,212,226,200,198,195,175,195,222,205,200,191,163,138,123,118,199,208,205,206,205,205,205,204,185,188,189,192,188,206,227,206,202,197,186,186,215,202,200,184,160,136,114,148,214,204,206,205,205,205,205,205,184,187,189,192,190,199,226,212,200,191,190,186,204,198,200,190,156,134,111,164,215,203,205,205,205,206,206,205,184,187,189,191,193,195,222,208,198,188,187,191,198,190,200,193,156,133,113,181,213,205,206,206,206,206,206,206,185,187,189,191,192,196,221,203,198,187,184,188,197,187,199,185,152,130,127,204,208,206,206,206,206,206,206,206
17,111,113,115,116,118,118,119,120,121,121,122,122,124,125,126,127,127,128,128,127,129,129,129,129,130,131,130,131,112,113,115,117,118,118,120,121,122,122,123,124,125,125,127,128,129,130,129,129,130,130,130,130,131,131,131,131,112,113,116,117,118,119,120,121,123,123,125,125,125,126,128,129,130,130,132,132,131,134,131,131,132,131,132,132,112,114,116,118,120,120,121,122,123,124,125,127,128,128,129,130,131,125,107,120,98,113,136,132,133,133,132,133,113,115,116,118,120,121,122,124,125,126,127,127,128,130,130,131,133,134,102,75,72,90,140,132,133,133,133,133,114,115,118,119,120,122,124,124,126,127,128,129,129,130,131,132,131,147,119,75,53,99,140,133,135,135,134,133,115,116,118,120,121,123,124,125,126,127,127,129,129,130,131,133,131,147,126,91,48,107,141,134,135,135,134,134,115,117,118,120,122,124,125,125,126,127,129,130,132,134,132,134,131,148,137,103,61,124,139,135,135,135,134,134,116,118,119,121,122,124,125,127,127,128,128,132,122,115,137,134,131,151,136,104,76,135,137,136,135,137,136,135,117,118,120,121,123,125,126,127,129,130,129,133,125,91,103,138,138,153,131,103,79,135,138,137,137,137,137,136,117,119,121,122,123,124,127,127,127,127,127,140,129,112,92,108,126,147,133,103,77,135,138,138,138,137,138,137,118,120,120,122,124,125,125,131,138,116,91,121,141,137,138,107,71,104,125,105,78,133,139,139,139,139,137,137,118,119,121,124,125,127,124,139,145,116,85,119,125,144,146,128,85,67,103,97,75,129,141,138,139,139,137,138,118,120,122,125,126,126,129,139,118,132,109,107,95,96,151,141,109,66,77,85,69,127,143,140,140,138,138,138,119,121,122,125,126,126,129,146,108,98,97,66,60,51,145,152,126,77,63,71,63,125,143,139,140,139,139,139,119,121,123,124,127,126,136,136,103,88,95,75,71,69,128,164,135,95,62,70,61,119,145,139,140,140,140,139,119,121,123,126,128,125,139,141,124,111,104,86,95,96,113,170,135,107,69,67,63,113,146,139,141,141,141,140,119,121,123,126,128,126,147,134,111,105,100,92,109,114,138,152,135,115,77,63,58,113,147,141,142,141,141,141,120,121,123,126,128,131,148,122,106,100,97,106,107,145,167,137,124,113,76,58,51,113,147,140,143,141,141,141,120,121,124,127,127,134,152,125,113,102,101,108,124,166,158,140,118,104,75,56,52,120,146,140,142,141,141,141,120,123,126,128,126,138,155,129,118,102,103,110,148,163,149,136,112,99,71,58,56,134,143,140,142,142,141,141,120,124,126,128,125,142,156,132,124,109,102,125,163,158,146,130,104,95,70,53,75,147,141,141,142,142,142,141,121,123,127,129,124,148,157,134,129,122,104,133,165,150,143,131,100,86,69,48,107,149,141,142,142,141,141,140,122,125,128,130,125,148,162,137,135,132,114,132,158,142,137,128,102,78,64,59,136,144,142,143,142,142,142,141,123,125,127,129,126,143,163,143,139,134,124,124,152,139,137,122,99,76,55,87,150,141,143,142,142,142,142,142,122,125,127,130,128,136,162,148,137,129,128,124,141,135,137,128,96,74,52,103,151,140,142,142,142,143,143,142,122,125,126,128,131,132,158,145,135,126,125,128,135,128,138,130,96,73,54,119,149,142,143,143,143,143,143,143,123,125,127,129,130,134,157,140,135,125,122,126,134,125,136,123,91,70,67,141,145,143,143,143,143,143,143,143
17,124,127,129,133,134,135,136,138,140,142,143,143,145,148,146,148,149,149,149,149,150,151,149,148,149,149,149,148,127,129,132,135,136,139,140,141,142,142,143,145,146,146,149,149,150,150,150,152,152,152,151,150,150,149,148,147,130,134,135,138,140,141,143,144,144,144,146,145,164,127,127,156,151,152,152,152,153,153,152,151,151,151,150,150,134,137,139,143,144,145,146,147,148,149,147,157,158,95,98,161,153,156,155,155,155,155,155,153,152,152,152,151,139,142,144,147,149,149,149,151,151,153,151,161,173,91,95,166,155,158,157,157,158,157,158,157,156,156,156,154,143,147,149,150,153,153,154,156,156,157,154,167,189,122,84,160,159,160,161,160,161,160,161,160,159,157,158,158,147,151,154,155,158,158,158,159,160,162,159,176,193,140,69,136,169,163,164,164,164,164,165,165,164,160,159,159,151,156,157,159,162,162,163,164,166,167,162,185,185,155,90,109,176,165,167,167,168,168,168,168,166,164,163,163,156,159,162,165,166,166,167,168,169,171,164,196,165,173,113,87,173,172,171,172,172,172,171,170,169,168,167,167,160,163,166,168,170,170,171,172,172,173,174,200,146,186,126,80,166,178,175,177,176,175,175,175,173,172,171,170,163,166,169,173,174,174,176,176,176,174,170,204,157,199,159,87,152,185,178,179,180,180,179,178,176,175,174,173,166,169,172,175,176,176,178,179,181,186,155,128,131,190,172,98,136,190,180,183,183,182,181,179,179,178,177,176,170,172,175,177,178,179,180,179,194,205,171,118,75,145,170,103,121,193,182,186,186,186,184,183,181,181,180,179,172,174,178,179,181,182,183,184,190,162,160,159,132,112,123,99,106,195,185,187,189,188,187,187,185,184,182,181,174,177,180,182,185,184,185,188,193,137,143,174,186,155,83,73,94,193,189,191,191,191,191,190,188,186,185,185,177,181,183,186,187,187,185,191,215,198,135,147,172,137,73,61,75,182,195,193,193,193,192,191,191,189,188,187,179,182,185,188,188,188,194,182,139,213,157,87,153,143,84,62,57,159,203,194,195,196,195,194,193,193,191,189,180,184,188,189,190,190,203,168,99,136,166,56,107,178,101,62,48,146,208,196,198,197,197,197,196,195,194,193,183,187,189,191,192,195,207,181,129,87,149,95,98,199,123,75,44,142,212,196,200,199,199,197,196,196,195,194,186,188,192,194,194,198,196,137,98,68,127,122,129,208,144,97,47,145,214,199,201,201,201,200,198,198,197,196,187,189,193,196,195,202,188,152,112,105,102,141,182,191,149,111,54,157,213,200,202,203,201,201,202,201,199,198,189,192,195,198,196,207,203,145,130,123,128,219,199,160,129,104,60,181,210,203,205,204,202,202,202,202,201,200,190,193,196,199,200,221,188,160,151,108,162,217,165,146,121,85,70,198,208,207,206,206,206,205,203,202,201,201,193,195,197,199,202,224,201,183,126,122,176,197,150,145,120,71,77,209,209,209,209,208,207,207,205,205,203,202,193,196,199,200,204,219,217,155,150,121,205,196,149,140,108,64,92,216,209,210,210,209,209,208,208,208,205,203,194,197,200,202,203,204,203,164,155,135,221,191,145,124,94,57,110,220,209,211,211,211,210,209,208,208,206,205,194,198,200,203,201,195,192,178,144,142,216,174,127,100,81,51,142,223,211,215,213,211,211,210,209,209,208,208,195,200,201,202,207,193,173,176,146,145,198,157,113,84,69,62,191,218,213,214,214,213,214,212,211,210,209,209
1,145,151,158,162,167,171,174,177,179,180,182,185,187,188,186,187,186,188,186,185,184,185,185,181,179,178,176,176,147,154,160,165,170,172,177,180,182,184,186,189,189,189,193,191,192,162,170,189,185,185,185,183,181,180,180,178,148,156,162,168,171,174,179,180,185,189,190,189,191,195,160,177,211,127,103,207,185,186,186,184,182,181,180,180,151,156,165,170,173,177,180,184,187,191,192,191,192,214,111,136,218,123,89,175,184,190,188,187,186,185,181,181,154,160,166,172,176,181,183,188,190,191,194,193,207,213,97,149,208,104,94,120,120,202,187,188,188,188,185,183,156,162,168,174,178,183,187,189,190,194,197,189,159,187,88,167,204,92,131,152,83,198,190,190,190,189,187,186,158,164,171,175,179,183,189,189,193,194,206,187,81,151,102,181,217,110,147,155,73,192,195,193,191,190,188,188,159,167,173,177,182,185,188,191,197,195,216,164,64,146,113,175,198,105,158,157,68,189,200,196,194,193,192,190,160,168,174,179,183,187,190,194,198,196,217,144,52,122,91,147,179,91,177,174,78,189,202,197,196,194,192,191,162,169,175,181,185,189,193,197,198,203,220,132,58,144,90,167,182,91,184,164,79,188,202,198,198,195,195,194,163,171,178,182,186,191,196,199,199,212,214,118,67,172,83,176,179,85,197,160,80,192,203,201,201,198,197,195,165,172,180,183,188,192,197,201,199,219,220,122,46,119,44,152,128,84,211,163,88,198,205,202,200,200,198,196,166,174,180,185,190,194,198,203,199,227,211,125,97,116,101,153,157,123,161,157,87,202,206,205,204,201,201,199,165,175,182,186,191,196,199,203,205,235,204,152,121,188,199,205,209,172,93,121,93,206,206,207,206,203,201,201,167,176,183,186,192,197,200,201,219,233,174,130,87,104,172,163,204,217,141,56,80,214,206,207,207,206,203,203,169,177,184,188,194,198,201,199,232,226,166,110,87,70,99,95,205,239,196,80,74,220,207,207,207,206,204,204,169,178,185,189,194,198,202,201,241,220,152,107,103,99,122,173,189,218,198,115,92,221,208,209,208,208,206,205,170,179,185,189,196,200,202,206,244,210,157,110,116,111,160,227,208,184,143,110,65,195,217,210,209,209,208,207,168,177,184,188,195,200,202,210,246,212,168,129,125,133,203,234,199,167,119,76,58,198,218,212,211,210,208,207,169,177,183,188,192,198,200,209,246,213,162,133,128,144,225,242,192,150,107,58,56,212,213,210,210,209,208,206,170,178,184,189,194,199,202,208,242,215,169,156,130,141,228,239,181,136,98,45,82,223,212,212,210,210,208,207,169,178,186,190,194,200,204,206,236,220,185,182,139,130,234,216,168,117,81,37,169,223,213,213,213,211,208,208,171,179,184,190,195,200,205,205,231,226,193,188,137,141,226,194,159,106,54,72,223,214,214,214,213,211,209,208,170,177,183,189,195,198,204,205,235,230,194,176,123,149,206,163,141,91,32,133,228,212,213,212,209,208,207,206,171,180,187,195,203,205,211,207,237,221,188,155,117,154,173,143,121,73,48,204,229,222,222,221,218,218,215,214,131,135,137,139,143,148,142,172,246,212,188,155,132,160,154,139,108,57,64,154,152,153,153,155,156,156,155,152,91,87,86,88,86,90,77,195,244,213,198,157,155,152,129,119,78,44,67,74,73,73,73,74,69,68,66,64,102,100,102,104,104,100,113,238,215,187,185,170,152,123,110,94,48,57,92,90,89,87,87,87,87,84,85,87
10,79,86,93,90,70,49,63,21,9,49,48,58,61,79,96,101,108,118,122,129,137,141,142,148,149,152,155,157,88,96,103,92,78,52,76,13,20,50,52,53,89,133,93,105,110,120,125,131,137,141,145,149,151,153,155,157,100,108,116,96,86,55,86,4,30,50,56,45,142,167,73,106,114,123,129,134,138,143,148,151,153,154,157,157,112,121,126,102,92,60,91,0,39,51,57,50,124,177,76,91,125,126,132,137,141,147,153,155,156,157,158,158,123,133,134,105,95,71,91,0,46,52,57,56,97,178,99,74,130,134,140,144,148,154,159,162,163,163,163,164,134,146,141,112,96,83,83,0,54,53,57,63,79,176,138,70,127,143,147,151,158,164,168,170,170,171,171,171,143,156,145,120,95,97,73,1,59,54,60,66,74,163,164,80,112,154,152,159,166,172,176,177,178,178,179,179,151,163,148,127,93,112,61,10,59,55,61,69,80,147,178,92,92,163,160,168,172,179,182,185,186,186,186,187,157,171,147,133,91,125,44,21,61,56,62,70,84,146,200,114,83,168,168,174,181,186,190,194,194,195,195,195,163,176,149,140,90,135,32,28,59,59,63,71,88,149,198,125,83,171,177,182,187,192,195,200,201,202,202,201,169,179,150,144,91,140,12,65,69,58,62,74,93,147,182,125,76,167,183,186,194,199,203,206,208,209,209,209,174,182,151,143,96,127,78,133,61,70,87,74,101,156,158,131,71,159,192,192,200,206,209,213,213,213,214,215,178,181,152,139,102,123,120,123,56,49,52,57,94,167,141,167,66,144,200,195,205,212,215,217,217,217,218,219,182,182,156,134,108,151,85,111,92,57,42,33,39,76,109,135,60,125,206,200,209,215,219,221,221,222,222,224,185,181,161,128,118,119,46,55,114,98,72,33,12,49,81,94,72,96,207,205,213,218,220,224,224,224,225,227,189,178,169,124,131,99,42,106,133,116,71,36,24,33,55,72,69,74,204,210,216,221,225,226,227,228,229,229,192,177,174,116,152,64,79,194,162,111,77,51,41,36,46,56,60,72,205,214,218,224,228,229,231,232,232,233,193,178,174,109,159,46,92,196,157,94,103,78,49,42,41,49,52,76,211,216,222,227,230,232,233,234,235,236,195,178,175,107,168,35,49,214,201,77,66,102,75,57,38,40,48,87,218,216,224,230,233,234,235,236,237,238,195,180,178,108,172,21,54,213,210,68,107,105,102,74,42,41,39,106,223,216,225,231,235,235,237,238,239,239,194,181,179,111,179,13,52,193,143,93,182,132,102,92,52,45,34,115,226,217,226,231,236,237,239,241,243,242,194,186,173,117,175,8,46,173,194,150,189,160,113,98,70,54,39,126,225,217,225,230,235,237,238,241,242,241,196,193,166,127,166,3,49,135,198,167,179,162,145,105,75,61,40,132,226,218,225,230,235,237,238,239,242,242,198,196,157,141,149,0,57,73,183,199,178,175,144,114,83,65,41,125,224,217,224,229,233,237,239,238,240,242,196,198,147,149,146,34,84,63,171,201,174,194,136,112,79,68,47,143,232,226,234,239,243,246,248,250,251,255,185,200,141,149,181,106,100,95,136,199,170,185,135,100,80,75,52,113,155,158,164,168,177,180,184,188,193,191,192,198,137,160,174,89,88,94,92,176,167,153,143,119,104,79,47,81,105,101,102,104,103,104,105,104,105,58,196,193,132,169,169,95,94,99,94,128,140,130,144,150,138,81,39,46,114,111,115,118,117,114,114,120,86,45
11,113,118,123,126,129,132,135,138,139,142,144,145,146,149,151,152,153,154,156,157,157,158,158,159,159,158,158,158,114,120,125,128,132,133,136,138,140,143,145,147,149,151,152,153,154,155,156,158,159,160,160,160,159,159,160,160,115,120,126,130,132,135,137,140,142,144,146,149,151,152,154,153,158,159,158,160,160,161,161,161,160,160,161,160,116,121,126,130,134,136,138,140,143,144,147,149,152,153,154,155,141,155,160,161,161,161,161,162,162,162,162,162,117,121,126,130,134,136,138,141,145,147,149,151,153,154,154,163,116,118,167,160,162,162,163,164,164,163,162,162,116,121,127,131,134,137,139,142,145,149,151,152,153,155,154,170,119,106,168,161,163,164,164,164,163,163,163,163,118,122,127,132,136,137,140,142,145,149,151,153,154,156,156,173,101,117,170,162,164,165,165,165,165,164,164,164,118,124,128,132,136,138,140,143,146,149,152,153,155,154,163,172,95,133,170,164,166,166,166,166,165,165,165,165,119,124,130,133,136,139,141,144,146,148,151,153,154,155,174,149,91,147,168,165,166,166,167,166,165,166,166,166,119,125,130,134,137,139,142,144,146,149,152,153,153,154,173,110,92,163,166,165,166,166,166,166,166,166,166,166,119,124,129,134,138,140,142,145,150,150,148,160,170,117,113,95,109,171,163,165,166,166,167,167,166,167,167,165,120,124,129,133,136,140,147,145,136,166,146,117,145,116,84,82,141,170,164,167,167,167,167,167,167,167,167,167,119,125,131,133,144,173,173,153,92,132,144,87,117,112,77,79,162,166,165,167,168,168,168,168,168,167,167,167,120,125,129,138,168,146,159,155,91,122,126,86,140,107,63,98,173,164,166,167,168,168,169,169,170,169,168,166,121,126,127,150,147,122,138,150,89,121,108,93,138,92,56,117,174,164,167,167,167,169,169,169,169,169,168,166,121,127,131,166,138,103,115,137,80,110,91,102,121,80,56,129,173,164,166,167,170,171,171,169,168,169,169,167,123,123,146,172,139,108,115,100,77,105,74,108,108,69,49,133,176,166,168,166,161,157,160,172,173,169,169,169,123,122,167,165,136,113,101,89,91,97,57,130,90,53,61,105,163,161,157,152,145,138,121,124,161,173,169,169,122,127,180,158,134,117,98,80,112,84,42,95,82,88,111,110,134,152,157,152,138,119,111,102,96,166,171,170,121,130,174,157,142,126,104,94,105,110,122,129,141,142,132,138,150,140,123,114,110,126,145,136,118,163,172,170,121,128,167,160,148,133,111,111,134,157,149,146,144,140,125,120,117,98,119,149,166,175,175,174,174,172,171,170,121,128,178,163,148,133,112,118,147,152,137,144,139,128,99,88,106,148,175,174,171,169,170,171,171,172,172,171,119,137,185,150,138,120,111,119,139,138,138,135,120,88,80,128,168,173,169,170,170,171,172,172,172,172,172,172,115,149,165,128,125,118,118,122,122,127,128,107,76,91,149,171,167,167,169,169,170,171,172,172,171,172,173,171,113,156,160,131,125,133,124,125,111,111,100,72,113,163,165,161,165,166,167,167,167,169,170,170,170,168,169,170,117,167,166,131,125,149,129,118,101,91,74,124,165,160,160,162,164,165,165,166,167,167,168,169,170,182,186,189,122,173,168,126,126,150,126,107,89,67,108,163,155,159,160,161,163,164,165,166,167,167,169,168,189,198,197,185,122,174,168,122,128,147,124,107,78,67,145,154,155,158,159,160,162,163,165,166,167,168,168,168,161,136,172,184
0,159,162,163,165,168,170,170,171,172,173,175,175,176,175,176,176,175,176,176,175,174,172,172,171,170,171,171,170,160,162,164,167,168,170,172,173,174,175,176,176,177,177,177,177,176,176,177,177,175,173,174,174,172,171,172,170,162,164,167,168,169,171,174,175,175,178,179,179,178,178,178,179,176,176,177,178,177,176,174,174,174,171,173,172,163,164,166,168,169,170,174,175,176,178,177,179,179,182,179,180,180,180,176,179,178,177,175,175,173,172,175,174,163,166,167,169,170,173,176,176,179,184,180,177,170,160,179,178,158,161,179,176,177,177,179,175,176,174,175,175,163,166,169,170,172,175,176,176,175,150,164,198,160,109,113,181,142,83,137,197,179,158,136,184,176,177,177,177,165,167,170,170,172,176,174,182,183,143,99,180,182,128,75,182,150,93,72,137,148,172,96,160,186,175,178,177,167,168,171,171,174,176,173,200,200,178,107,103,190,120,82,186,146,99,42,91,117,177,142,104,163,184,176,178,168,169,171,173,178,175,187,190,185,185,118,59,169,128,92,191,150,77,76,138,90,168,170,138,103,149,185,178,169,171,173,175,178,173,201,168,161,174,89,65,166,114,99,181,131,52,95,142,58,148,197,164,109,64,184,180,169,172,175,176,175,175,208,176,162,151,62,85,158,89,89,154,112,44,94,137,69,185,206,157,91,60,182,180,170,172,175,178,175,193,199,162,155,145,76,87,135,75,70,130,99,31,99,121,115,191,171,135,49,116,195,179,172,175,177,178,175,210,202,153,109,122,77,70,135,77,57,138,76,56,144,133,150,154,126,89,46,173,187,184,172,175,176,179,177,211,200,170,133,79,26,80,167,85,64,161,141,161,149,133,107,125,99,44,97,196,182,185,173,176,177,178,182,213,189,170,154,124,68,64,103,62,71,188,184,161,137,125,82,82,82,30,146,195,183,183,173,175,178,177,190,217,191,170,154,142,100,58,77,110,180,197,180,150,127,111,72,61,56,39,182,189,184,185,174,176,179,176,195,219,197,173,157,152,117,83,89,159,204,192,171,139,115,93,59,55,23,109,199,185,184,186,176,177,179,177,195,218,202,178,159,153,128,89,96,176,206,184,162,130,103,73,52,30,56,192,187,187,185,185,176,177,179,180,188,217,203,183,165,148,128,90,131,183,193,173,157,120,86,58,41,25,159,196,188,189,186,186,174,177,181,181,187,217,201,187,170,145,123,109,162,178,163,163,145,106,66,48,15,121,202,189,190,190,190,190,177,177,183,178,190,218,205,200,171,144,134,141,175,149,144,146,125,87,56,20,79,201,191,192,192,192,191,191,177,178,182,174,207,216,207,207,176,153,141,152,165,129,139,128,101,68,34,41,189,195,194,193,193,192,191,191,178,179,177,181,215,201,204,200,162,149,148,148,132,128,129,112,86,47,31,162,201,192,193,193,193,192,191,191,176,179,173,193,192,172,187,179,146,145,146,132,123,120,102,91,56,25,142,201,190,195,192,192,192,190,190,190,177,174,171,201,175,149,150,148,136,135,136,120,109,104,85,62,31,121,195,192,194,194,193,192,191,190,190,190,181,161,186,198,154,141,132,122,120,146,135,90,97,97,65,24,119,196,192,196,195,195,194,193,193,191,191,192,170,161,210,188,136,120,127,102,112,147,110,74,99,82,30,90,193,195,194,195,195,195,194,194,194,192,192,192,155,190,207,184,133,105,113,92,115,130,93,77,87,46,45,176,194,195,197,196,195,195,194,194,194,194,194,192
10,127,131,133,136,139,142,144,146,148,150,150,151,152,152,153,153,154,154,154,154,154,154,154,154,155,154,154,154,130,132,135,138,142,144,146,149,150,153,153,155,155,155,155,155,156,156,156,157,156,156,156,155,157,156,155,155,132,135,138,141,144,147,149,152,154,155,156,157,157,157,159,159,159,161,160,159,159,159,158,158,159,159,159,157,133,137,141,144,146,149,152,155,157,158,159,160,160,160,161,161,162,154,156,163,162,162,161,162,161,161,161,161,136,140,143,145,149,151,154,157,160,161,162,162,163,163,164,160,171,152,118,168,163,163,163,164,164,164,164,163,138,142,145,148,151,154,157,159,162,163,163,164,165,166,165,164,170,174,117,143,171,165,166,167,167,166,167,165,139,144,147,150,152,155,158,161,163,164,165,166,166,168,168,170,168,180,148,118,171,168,168,168,169,168,167,168,141,145,149,151,155,158,160,163,165,166,167,168,168,169,168,162,166,183,184,125,153,174,168,170,170,170,169,169,143,147,150,153,156,160,163,165,166,167,168,169,170,170,178,140,112,182,197,149,123,178,171,173,173,173,172,171,145,148,152,155,158,162,164,166,168,169,170,171,173,170,181,167,105,129,201,170,109,165,177,174,174,175,174,174,145,149,153,157,160,162,165,167,169,171,172,173,174,173,176,199,170,127,154,183,114,146,181,174,176,176,176,176,147,150,154,158,161,163,167,169,169,172,174,175,173,182,173,170,204,146,91,164,129,125,186,175,178,178,178,177,148,151,156,159,162,165,167,169,171,173,174,175,177,185,165,108,155,163,103,98,112,106,187,177,179,179,179,179,148,152,156,159,163,166,168,171,173,175,175,175,196,181,146,82,75,162,134,78,74,80,169,184,180,180,180,180,149,153,157,160,164,167,169,172,174,175,176,174,198,174,105,52,43,128,146,108,70,66,129,190,180,181,180,181,150,154,157,161,164,168,170,173,175,174,184,185,169,195,166,90,39,119,154,143,97,69,106,189,182,182,181,181,151,155,157,162,165,168,172,174,176,175,188,202,181,165,199,148,78,153,173,158,112,67,93,187,184,184,184,182,152,156,159,162,165,169,172,174,176,177,175,180,201,154,154,192,129,158,177,152,118,70,88,188,185,186,186,184,151,154,158,161,164,168,171,174,174,176,177,155,168,146,109,161,122,163,185,149,114,77,86,187,186,186,186,185,151,156,159,162,165,167,170,174,175,174,185,186,157,145,117,122,194,199,183,151,105,76,91,186,185,185,184,184,152,155,158,162,166,168,171,173,175,174,183,199,174,145,137,170,211,195,177,138,99,78,96,189,185,185,184,184,152,155,158,162,166,168,170,173,175,177,176,195,182,173,162,183,204,182,162,128,95,89,90,186,186,185,185,184,152,156,159,163,165,168,171,173,175,177,177,188,187,184,179,172,200,171,153,128,115,106,90,184,186,185,186,186,149,153,158,163,168,171,174,177,179,181,183,186,191,190,187,158,183,167,159,139,134,109,98,190,188,187,187,187,95,98,102,107,111,114,118,123,126,129,129,144,194,192,182,161,160,163,170,153,128,95,103,179,178,181,182,184,88,89,90,90,88,86,86,87,89,89,91,89,166,182,167,160,152,157,181,157,119,92,87,99,101,104,107,109,93,93,95,95,95,99,99,98,98,98,100,90,126,177,157,159,159,160,171,153,115,88,94,99,96,97,96,95,90,91,93,93,93,94,95,98,97,95,95,94,103,170,168,160,166,159,157,156,115,87,100,106,104,107,106,108
0,177,178,178,177,177,177,178,178,177,176,175,175,175,175,173,173,172,172,171,170,168,168,167,166,165,164,162,162,178,180,179,179,179,178,178,179,178,177,176,176,176,175,175,173,173,172,172,171,169,169,168,166,164,164,164,163,179,180,179,179,180,178,179,180,179,178,177,177,178,176,175,174,175,171,171,172,170,171,169,167,165,165,165,164,181,181,181,180,180,179,181,180,180,179,179,177,170,179,178,177,176,180,172,173,172,169,169,168,167,166,165,164,181,181,183,183,181,181,181,181,179,183,179,159,127,127,172,150,130,138,178,170,168,174,169,171,170,167,166,165,182,182,182,183,182,181,182,170,143,147,172,151,129,96,118,140,115,86,124,133,110,125,172,154,157,169,165,165,184,183,182,183,181,181,182,166,145,117,132,167,129,103,107,153,124,97,83,129,105,70,122,139,118,174,166,165,184,184,183,182,182,183,181,182,158,139,105,154,135,108,103,152,129,97,94,140,119,80,76,136,107,171,167,167,185,185,183,183,183,187,179,167,165,140,93,142,142,108,101,151,128,97,77,126,112,80,66,127,98,156,172,168,186,185,185,185,184,187,170,133,162,121,86,143,130,97,93,139,116,88,66,116,102,71,68,129,100,115,177,167,186,186,185,186,186,182,152,118,159,111,87,138,112,81,87,129,106,78,76,135,115,65,65,132,123,88,146,173,186,185,186,185,188,183,168,143,156,126,100,132,120,85,89,137,113,69,116,156,116,57,80,135,126,90,104,180,186,187,187,187,189,175,154,136,136,125,98,139,134,85,107,151,123,78,107,144,82,55,124,143,124,76,117,179,187,188,188,190,185,157,132,115,102,89,82,140,127,79,98,152,122,73,36,53,41,96,147,143,107,73,162,173,189,188,189,188,183,164,140,116,93,86,83,94,103,78,62,89,88,88,109,77,87,146,143,130,77,114,182,169,190,189,189,186,178,163,142,117,97,94,100,96,101,106,98,101,132,154,150,144,123,134,132,103,70,163,175,170,190,189,190,189,181,165,146,124,100,92,99,108,125,137,145,157,160,150,139,138,117,114,119,73,102,182,171,172,189,189,189,187,182,166,147,130,111,102,101,112,143,156,164,162,156,146,136,132,110,97,100,58,149,180,173,173,189,190,190,187,184,169,152,136,117,116,108,140,168,166,166,162,153,140,131,127,100,87,61,98,183,174,175,174,190,190,190,188,186,173,157,143,132,127,135,163,171,168,167,160,149,138,125,112,90,58,81,173,178,176,176,175,191,191,191,188,186,175,160,149,140,134,155,165,170,172,165,149,141,130,115,101,64,71,173,180,177,177,176,175,190,191,191,187,184,178,166,153,142,136,162,167,171,169,156,140,130,120,105,74,61,164,183,176,178,178,177,174,190,192,192,186,182,178,168,158,144,137,160,169,162,157,143,129,116,107,81,55,153,187,178,179,178,178,176,175,192,193,193,189,183,180,171,165,153,142,155,162,152,144,132,116,104,80,51,142,189,180,182,180,178,177,176,175,192,192,194,191,186,178,170,166,159,148,152,156,144,131,121,107,78,52,140,191,180,183,181,180,179,178,177,176,192,193,194,189,183,176,179,179,168,155,149,147,132,120,111,84,53,144,194,183,185,183,181,179,179,178,177,176,193,192,193,188,187,175,178,178,163,153,144,139,121,103,94,58,141,196,184,185,185,184,182,181,181,179,178,177,193,193,191,184,180,159,175,167,156,149,140,125,112,98,68,95,197,185,186,185,185,184,182,182,180,179,178,177
13,186,187,188,187,186,187,188,190,189,187,188,189,190,191,191,190,190,191,192,191,192,190,190,189,189,188,187,187,188,190,191,189,189,189,191,190,190,190,191,190,190,192,193,193,194,193,192,192,194,192,190,191,192,192,189,187,189,191,190,191,191,191,192,192,192,192,193,192,192,193,193,192,191,190,196,197,195,193,191,193,192,192,190,190,188,190,191,192,191,194,193,194,192,191,193,195,195,193,195,204,202,171,143,177,188,194,197,194,194,192,192,193,189,191,192,192,192,194,194,193,193,192,193,196,192,203,229,230,225,187,132,90,112,117,179,199,194,193,193,193,190,190,191,193,193,193,193,194,196,196,194,194,194,201,194,210,224,199,140,87,70,83,108,210,192,194,194,194,191,192,192,193,194,194,194,195,197,192,198,183,158,185,157,148,194,201,168,102,80,140,102,199,196,195,196,195,191,192,193,194,195,195,195,197,196,199,226,183,134,172,186,179,192,186,189,110,74,112,94,196,198,197,197,196,191,192,193,194,194,195,196,196,190,205,235,194,163,125,148,189,196,171,120,77,36,109,184,198,199,198,198,198,192,193,193,194,195,198,192,203,201,133,150,208,188,146,61,105,180,179,141,120,86,84,203,200,199,198,198,197,191,193,195,194,194,190,199,226,193,113,74,171,214,164,85,8,97,137,152,180,161,85,130,213,196,200,198,197,191,192,193,194,192,204,228,207,170,125,79,122,223,164,120,39,28,40,165,204,187,144,80,183,204,198,198,198,192,192,192,192,199,220,197,171,173,144,102,74,218,175,149,79,36,35,117,219,202,169,102,103,208,197,196,197,194,193,194,192,214,202,156,150,184,155,121,41,157,211,169,123,33,47,103,207,210,170,132,78,166,207,197,197,194,194,194,195,217,210,179,141,184,161,133,89,40,196,196,154,86,74,204,197,193,165,141,88,139,214,198,200,194,193,192,196,212,198,181,143,141,170,167,137,30,66,204,186,173,115,200,195,166,132,118,76,151,211,198,199,192,192,193,192,214,219,198,170,132,135,176,149,128,27,132,198,169,174,193,177,153,119,85,69,182,205,199,198,198,199,200,197,213,224,210,183,167,146,149,145,170,97,168,215,199,209,186,165,142,112,77,87,202,200,201,200,144,148,154,151,194,229,218,196,176,167,169,150,117,129,209,224,223,198,182,161,134,102,64,130,215,206,208,206,76,75,79,63,145,235,216,206,188,175,178,178,143,130,195,221,219,198,165,150,125,91,68,112,146,146,150,150,83,82,84,74,104,221,209,210,206,190,180,176,163,120,156,217,208,190,161,129,110,81,76,76,67,64,66,75,82,83,83,85,75,185,209,206,209,205,191,177,162,141,123,196,194,174,153,116,95,79,70,75,84,108,139,171,82,83,85,88,74,119,214,201,211,211,194,179,158,145,126,156,179,157,129,111,90,67,84,158,183,200,207,207,82,84,84,85,89,73,166,212,205,202,183,166,152,138,125,128,154,145,123,103,87,53,155,226,200,191,182,192,83,84,84,83,88,76,102,214,199,181,166,156,147,135,112,111,138,148,131,92,71,70,205,207,189,176,153,147,83,84,83,83,81,86,76,184,205,166,150,152,144,130,106,95,144,161,119,81,54,133,223,199,183,137,125,131,83,83,84,82,81,90,72,156,213,177,170,163,145,124,108,92,153,153,94,71,67,205,216,216,192,128,95,127,83,84,85,81,82,88,71,145,219,187,186,174,151,130,117,91,155,133,85,56,108,219,202,227,212,145,85,105
14,194,196,197,196,197,200,200,198,207,225,211,179,150,122,178,200,202,203,200,200,200,201,200,200,199,198,197,197,196,198,199,200,199,200,198,210,235,209,155,131,117,109,133,177,180,179,201,201,201,201,201,200,200,200,199,199,197,199,200,201,200,198,222,241,220,168,114,110,107,110,139,162,148,125,202,203,203,204,204,203,202,202,201,200,198,201,202,201,200,208,251,225,168,126,107,113,103,91,112,129,116,149,210,204,204,206,204,204,204,204,202,201,201,203,203,204,198,225,255,205,121,93,89,97,102,113,110,120,133,149,184,205,206,206,207,206,207,204,204,203,201,202,204,206,201,238,251,196,119,91,85,89,105,119,100,110,156,168,136,165,212,207,208,209,206,206,205,205,201,203,206,207,207,251,241,176,113,97,102,86,89,98,95,96,117,132,108,181,215,210,209,209,210,208,208,207,203,205,207,207,214,255,235,170,108,98,113,95,101,115,123,123,111,116,109,146,172,208,211,210,210,210,209,209,206,207,209,205,223,255,242,193,135,104,102,101,110,105,112,107,113,128,133,133,121,178,211,212,212,211,210,209,207,209,211,205,239,255,242,196,146,115,91,112,117,107,138,165,202,188,161,143,168,155,197,216,213,212,212,212,209,211,210,209,248,255,244,193,143,120,99,110,105,183,220,218,216,219,215,178,187,152,201,217,214,214,213,213,210,211,211,213,252,255,246,202,152,118,103,99,115,211,218,218,218,221,199,167,182,148,209,217,216,214,214,215,212,214,213,219,255,255,249,209,163,122,101,97,181,222,219,219,219,221,189,167,179,142,207,219,217,216,215,216,213,215,214,220,255,255,251,214,168,128,95,114,221,220,220,219,220,225,181,160,177,139,181,223,219,218,217,217,214,216,218,222,255,255,251,217,175,136,95,147,229,222,223,222,224,216,167,157,168,146,156,225,220,219,220,219,215,217,219,223,255,255,251,219,178,137,98,155,223,225,226,227,223,165,159,176,168,138,175,226,221,220,221,220,217,217,216,225,255,255,252,220,178,143,121,92,124,155,161,183,174,142,163,169,156,153,220,224,222,220,220,220,217,217,217,225,255,255,252,217,179,156,136,98,100,109,119,131,136,146,161,161,141,199,227,223,222,222,221,221,219,219,218,231,255,255,251,214,189,171,146,109,109,122,132,143,147,145,151,143,174,229,226,226,224,224,222,222,220,221,219,236,255,255,250,220,201,180,151,122,115,134,140,144,148,144,133,143,225,229,227,227,225,224,224,223,221,223,221,239,255,255,250,231,210,182,151,131,118,134,141,142,146,142,125,196,232,229,228,227,226,226,225,225,222,222,222,244,255,255,250,238,215,182,149,131,121,130,141,138,142,130,182,233,229,228,229,228,228,227,228,227,222,224,222,248,255,255,251,239,211,168,132,122,118,127,136,138,131,151,233,231,231,229,229,229,228,227,228,227,226,229,230,254,255,255,249,229,190,136,111,112,113,123,130,133,129,210,234,230,231,230,230,230,230,229,228,228,198,185,174,183,166,159,143,126,109,88,80,90,106,120,123,124,186,237,232,233,232,232,233,232,230,230,229,230,121,111,101,94,86,81,73,68,68,62,52,52,63,89,111,180,237,232,233,233,232,232,233,233,232,232,230,231,113,107,97,93,88,82,72,69,68,59,51,49,48,46,76,234,236,235,235,235,235,234,234,234,233,232,232,232,112,106,97,91,84,80,72,68,64,57,49,46,48,46,79,238,237,237,236,236,236,234,234,234,233,233,234,233
8,137,138,139,139,139,140,140,141,141,140,139,139,139,137,137,137,136,135,134,133,133,132,130,129,128,126,125,125,138,139,140,140,140,141,142,143,142,142,142,140,140,139,138,138,137,136,135,133,133,133,132,131,130,128,126,126,140,139,141,142,142,146,145,144,143,144,144,142,142,142,140,140,139,138,137,135,134,134,133,132,131,129,127,126,140,140,142,146,134,105,144,146,145,145,145,144,143,143,142,141,140,140,139,138,136,136,135,134,132,130,128,127,141,143,142,147,120,67,127,150,145,146,145,145,145,144,144,143,141,140,140,139,137,137,136,135,133,132,130,128,143,144,145,145,100,63,128,153,147,147,147,146,145,145,144,145,145,145,142,141,142,138,137,135,134,134,133,130,144,145,147,144,92,63,142,151,149,149,150,148,147,146,146,144,139,130,142,141,130,140,138,137,135,135,133,132,145,146,148,139,80,65,151,150,151,152,143,150,151,150,151,150,117,84,81,129,96,129,142,137,136,135,133,132,146,146,148,144,86,63,147,153,152,129,94,96,147,126,106,117,119,98,59,90,88,107,148,138,138,136,135,134,147,148,150,147,95,59,142,156,141,119,108,79,98,111,82,63,111,111,79,55,87,82,147,140,140,139,136,135,147,149,151,142,92,53,121,161,134,131,121,96,78,112,89,69,110,109,80,47,74,62,108,148,139,139,137,136,147,150,151,146,119,81,94,163,128,131,132,103,71,103,105,74,100,94,64,42,61,80,61,129,144,139,138,137,148,150,151,151,140,101,78,143,121,117,136,107,69,89,114,72,77,96,76,41,54,84,52,110,148,138,138,138,148,151,152,154,142,101,99,113,109,97,132,105,75,68,105,76,64,115,98,52,66,87,54,130,146,139,139,138,150,151,153,154,151,134,129,105,108,88,112,108,70,54,97,86,50,106,96,47,82,82,65,146,144,142,140,139,150,151,153,154,156,147,126,101,84,83,101,106,75,53,68,67,28,38,50,59,95,69,82,153,143,143,140,139,150,152,154,154,157,148,110,89,72,64,77,112,103,70,43,39,69,76,73,109,104,57,104,154,144,144,141,140,150,152,155,155,157,145,123,106,82,73,71,111,114,80,58,79,118,120,108,102,95,47,123,153,144,144,142,141,151,153,155,156,156,154,137,112,82,70,68,100,102,77,64,109,124,120,111,80,70,51,144,148,145,144,143,143,151,154,156,157,156,152,140,114,90,79,70,88,118,115,118,136,126,112,101,74,43,96,157,146,145,144,143,143,153,156,157,157,157,150,143,121,101,84,75,89,139,145,148,140,119,103,93,59,51,148,151,148,146,145,145,144,154,156,157,158,157,149,138,123,102,82,81,98,144,139,134,127,107,93,84,42,104,160,149,149,147,145,145,144,154,155,157,157,158,145,133,127,106,86,87,106,138,132,130,118,98,88,66,54,151,153,151,149,149,146,145,144,154,157,158,158,161,150,136,131,107,93,89,110,131,131,126,108,90,80,44,105,163,150,150,150,149,148,146,144,154,156,157,158,160,158,142,136,116,100,85,106,126,122,116,98,81,60,53,155,156,153,152,151,150,149,146,145,155,157,157,158,159,160,151,138,117,101,88,99,117,109,100,84,68,36,117,164,153,154,152,152,150,148,146,145,155,157,157,159,160,160,153,134,116,99,91,95,107,101,87,74,41,88,166,156,157,154,153,151,150,149,146,145,155,156,158,159,161,160,153,131,115,102,98,95,100,98,82,60,56,157,160,158,157,155,153,151,150,149,148,146
11,194,197,200,202,202,204,205,207,207,208,208,208,207,211,210,211,210,209,209,209,208,207,207,207,205,203,201,201,195,200,202,202,204,206,208,208,209,210,210,213,215,205,214,214,213,212,212,212,210,209,209,209,209,207,204,203,200,201,204,206,206,208,210,211,212,214,211,223,233,155,213,217,214,213,214,214,214,213,211,211,211,210,207,206,202,203,206,208,209,210,212,215,215,217,210,240,231,133,208,217,215,215,216,217,217,216,216,215,213,211,209,208,202,205,208,210,211,211,214,216,217,217,214,255,210,133,217,218,218,218,217,217,218,217,217,216,214,213,212,210,206,208,210,212,212,214,216,218,220,214,233,255,169,147,226,216,219,219,220,219,219,218,218,218,216,215,215,213,208,210,211,213,215,216,217,219,221,212,255,255,145,183,229,220,221,223,224,221,220,220,220,220,218,216,216,215,210,213,214,216,218,218,218,222,216,231,255,233,134,208,227,224,224,224,225,223,222,223,224,221,219,219,218,217,210,214,215,217,219,221,222,223,222,255,255,183,138,230,226,226,226,226,226,226,225,225,224,223,222,220,219,219,212,214,217,219,221,223,224,219,244,255,255,135,169,237,226,227,227,228,228,228,226,227,226,225,225,224,221,220,216,218,219,221,223,224,226,221,255,255,235,114,210,236,227,228,227,228,229,229,229,228,227,226,225,224,224,222,217,218,221,223,225,227,227,232,255,255,214,180,249,203,226,232,229,230,231,232,233,230,228,228,226,226,225,224,218,220,222,224,227,228,220,253,255,255,255,255,231,144,201,238,230,232,233,233,233,232,231,230,228,227,227,226,218,221,225,225,223,228,241,255,255,255,255,218,149,130,183,241,231,234,235,234,233,233,232,231,231,229,228,226,219,222,226,228,253,255,255,255,255,255,243,197,129,125,163,241,232,235,235,236,236,235,233,232,233,233,228,227,221,225,222,254,255,255,255,255,255,230,144,157,132,134,144,235,237,236,237,237,237,236,234,234,234,233,231,229,223,225,229,255,255,255,255,255,255,205,136,132,134,135,140,228,241,237,239,237,237,237,237,237,235,234,233,233,226,223,247,255,255,255,255,252,212,216,163,130,128,136,141,229,241,239,241,239,237,238,237,238,236,235,235,234,229,224,255,255,255,255,221,173,143,227,190,138,121,122,155,239,240,238,241,240,239,239,239,239,239,235,235,234,226,235,255,255,255,203,150,104,83,230,206,134,133,191,230,245,248,249,248,244,243,247,243,239,239,236,236,236,223,253,255,255,240,188,145,92,157,231,146,102,145,239,247,237,222,194,169,157,157,175,230,246,239,240,239,239,227,255,255,255,218,162,122,88,142,154,81,90,84,102,136,140,141,137,133,141,138,123,132,219,246,240,240,240,244,255,255,247,182,131,103,92,90,93,91,95,101,95,107,134,153,166,159,156,146,132,105,145,251,235,239,239,255,255,255,218,166,128,96,90,90,94,103,110,117,122,143,159,159,158,160,169,193,201,172,192,247,238,238,238,255,255,255,200,156,119,87,90,101,118,130,132,136,141,157,151,176,214,239,248,251,252,254,249,241,242,254,193,255,255,237,184,147,113,88,111,131,144,153,152,147,134,153,205,252,254,251,248,246,246,244,245,253,240,187,122,255,255,216,171,138,112,99,136,152,152,151,158,135,181,241,254,248,248,250,249,248,249,247,253,219,144,109,101,255,245,193,158,135,114,106,139,147,148,151,137,178,255,251,249,251,250,250,251,251,250,254,217,131,116,108,96
13,198,200,203,205,204,206,209,211,212,212,213,213,214,215,214,214,215,214,214,214,214,214,214,215,214,213,212,211,198,201,205,205,206,209,212,214,214,214,215,215,216,217,217,217,217,216,215,215,214,214,214,215,214,214,215,215,201,204,207,207,210,213,213,215,215,216,216,217,219,220,220,220,220,219,218,220,216,215,216,217,217,216,217,217,203,206,207,209,211,213,215,216,216,218,218,219,222,223,220,222,220,226,228,213,223,216,219,219,219,220,219,218,206,207,210,212,213,214,216,219,218,220,220,220,222,221,222,222,223,255,243,173,190,230,213,222,223,222,221,221,207,210,212,214,215,217,219,220,221,222,222,223,220,225,224,220,238,255,229,157,185,255,179,161,224,222,223,221,209,211,214,215,216,218,221,222,222,223,224,222,226,255,238,204,255,255,241,148,207,243,182,108,184,231,222,223,210,213,216,217,219,220,223,224,224,226,225,218,248,255,255,209,218,216,189,105,212,238,170,100,156,239,223,225,211,215,218,218,221,223,224,224,225,227,227,240,233,255,255,238,166,103,111,95,206,194,116,81,165,239,225,228,213,216,218,221,223,224,225,227,227,224,252,255,218,202,255,250,193,98,89,139,218,181,131,93,171,240,229,230,216,217,219,222,225,225,226,230,227,233,255,255,253,175,238,251,190,127,58,103,229,252,247,146,175,241,229,232,216,219,222,223,225,228,229,232,225,255,255,255,255,210,165,225,176,119,66,133,228,241,239,188,182,242,232,235,218,221,225,225,227,231,232,231,230,255,255,255,255,217,125,187,211,124,131,255,255,230,206,193,159,236,235,236,218,222,225,226,229,232,233,230,249,255,255,234,220,172,98,158,234,165,241,255,255,233,197,172,144,233,239,236,220,223,226,229,230,231,234,231,254,255,255,237,205,171,117,87,208,254,255,255,254,224,189,143,166,244,237,237,223,225,229,232,231,231,236,233,251,255,255,239,192,189,150,120,255,255,255,255,240,201,175,130,191,248,238,238,223,226,230,232,232,233,236,233,255,255,255,250,232,200,229,250,255,255,255,255,225,196,165,123,205,250,240,240,224,228,232,233,234,235,239,235,255,255,255,255,255,232,244,255,255,255,255,252,219,186,143,123,228,247,241,242,226,229,232,234,235,238,242,235,255,255,255,255,255,242,240,247,255,255,246,245,217,161,118,162,253,242,245,243,228,231,233,236,238,238,241,240,249,255,255,255,255,238,243,249,255,243,232,228,184,129,114,230,252,244,246,245,231,233,234,237,239,241,246,241,237,255,255,246,225,217,237,243,255,244,229,203,149,92,162,255,245,248,248,248,232,234,237,237,240,238,189,176,172,165,145,127,122,118,120,126,140,132,133,131,106,117,254,251,247,249,248,248,231,234,238,239,243,230,149,151,151,141,124,116,110,101,91,85,64,54,51,45,44,69,166,248,251,249,249,249,233,235,238,240,244,242,161,150,152,137,123,119,114,100,93,82,72,62,55,46,41,40,24,115,255,246,251,250,234,237,238,240,245,250,169,147,146,133,123,118,110,97,87,78,66,57,50,45,40,47,27,160,255,251,252,252,232,236,238,240,242,251,174,149,145,133,132,121,107,92,83,76,66,55,50,44,43,26,112,255,252,254,253,253,232,235,237,240,242,250,177,142,146,131,128,119,103,86,77,73,64,56,49,45,41,41,230,255,253,254,253,253,232,235,238,242,244,250,176,142,141,131,123,112,97,84,76,73,65,56,49,45,29,99,255,251,255,253,254,253
5,155,156,156,156,157,159,159,159,161,163,162,164,165,165,163,168,165,164,164,163,163,163,163,163,161,160,158,162,159,159,160,162,162,163,163,163,164,164,166,165,166,167,173,145,166,167,165,166,165,163,163,164,165,161,168,127,163,164,165,166,165,166,168,168,168,168,168,172,170,172,192,88,153,173,169,168,166,168,168,165,165,170,142,52,166,167,169,170,170,171,172,172,172,172,173,169,167,200,169,87,168,174,172,171,181,132,158,169,167,160,66,41,172,173,173,174,175,175,175,176,177,173,198,131,143,217,119,126,186,174,172,172,156,91,157,173,178,119,38,53,176,177,178,179,179,180,180,179,180,172,214,137,146,198,96,168,182,180,162,157,102,121,179,174,172,82,50,75,180,181,182,183,183,184,184,183,184,179,215,145,151,164,105,190,184,163,154,112,107,182,180,179,169,71,67,72,184,185,185,186,187,187,188,188,188,186,208,141,140,125,134,196,155,143,126,98,179,185,182,181,184,102,70,73,187,189,189,189,191,190,191,191,191,188,220,157,113,99,174,151,115,116,91,165,195,185,186,185,187,121,67,67,190,192,192,193,194,194,194,193,193,193,223,171,111,111,161,110,102,80,155,199,189,189,188,186,191,146,61,48,194,194,194,195,196,196,196,196,196,197,214,160,111,111,115,110,89,127,209,194,193,193,190,189,193,174,60,42,195,196,198,198,199,198,199,199,200,198,205,176,110,94,93,110,88,173,199,189,203,196,192,194,196,183,133,129,197,199,201,201,201,201,201,201,202,200,206,196,132,88,84,92,106,184,133,131,172,203,200,196,193,198,131,170,200,200,203,203,204,203,203,203,204,204,205,206,152,97,89,87,102,113,117,149,150,163,187,200,201,201,129,208,203,203,205,205,206,205,206,207,207,207,209,221,184,124,90,93,88,102,108,129,170,168,164,176,179,172,182,157,206,207,207,207,209,209,210,209,209,209,212,228,204,146,96,88,99,92,81,114,139,141,160,166,143,134,161,126,207,208,208,209,210,210,211,211,212,212,211,233,216,154,103,81,95,81,126,205,194,177,153,150,183,173,117,134,209,210,210,211,212,211,212,213,215,214,213,238,220,161,110,80,78,110,227,211,216,207,171,189,175,124,166,199,210,211,212,213,214,213,214,215,216,213,213,241,219,165,117,81,57,118,197,223,206,159,172,166,107,157,219,205,212,213,214,215,216,216,215,215,216,215,214,243,216,163,118,76,67,92,96,182,152,158,169,111,118,215,210,208,214,215,216,216,216,217,217,216,218,214,223,243,210,162,118,75,73,99,102,104,128,158,124,126,210,214,212,211,215,216,216,217,217,218,219,218,221,210,224,241,206,162,119,81,78,102,109,123,129,123,120,213,217,213,213,211,216,217,218,219,219,220,220,220,222,211,226,237,201,159,117,83,84,111,117,123,110,106,204,222,215,217,215,213,217,218,220,220,221,222,222,222,220,211,233,229,197,155,114,83,83,112,120,118,95,183,228,215,218,217,217,216,217,220,220,221,222,222,222,227,213,217,244,224,191,147,111,87,82,113,124,99,130,233,220,220,221,220,218,217,219,221,222,222,223,223,224,227,206,240,242,216,185,147,109,89,91,119,116,86,190,229,223,224,222,222,220,217,221,222,222,223,224,224,227,213,218,247,230,212,190,145,105,91,97,117,92,140,233,223,224,224,222,222,221,219,221,223,223,224,225,226,224,206,232,230,223,207,171,123,98,88,100,103,120,222,228,227,226,224,223,222,221,220
20,124,126,127,126,128,127,127,127,127,127,127,127,126,127,126,123,122,121,120,118,117,114,114,112,110,109,108,106,128,130,130,130,131,130,130,130,131,130,130,130,134,119,115,128,124,124,123,121,120,118,117,114,113,112,110,109,131,133,133,133,134,134,133,133,133,134,134,132,148,117,79,133,130,126,126,124,123,122,120,117,116,115,114,112,136,136,137,137,137,138,137,137,137,137,138,135,144,127,61,72,104,134,128,127,126,124,122,120,119,118,115,113,140,140,141,141,141,141,141,141,141,141,141,139,150,124,48,79,72,126,134,131,129,128,126,124,123,120,118,116,142,143,144,144,144,145,145,144,144,145,144,142,154,113,45,119,79,104,143,134,133,131,130,127,126,124,123,119,145,146,147,147,147,148,147,147,147,148,148,145,160,119,56,131,82,88,146,137,136,134,133,131,129,127,125,124,148,149,149,150,150,151,150,151,150,151,150,148,166,114,57,135,104,83,147,140,140,138,137,134,131,131,128,127,150,151,152,152,152,152,152,153,152,153,153,157,167,94,60,145,112,76,147,143,142,141,140,138,134,133,131,130,153,154,155,155,156,155,155,155,156,155,146,159,171,93,80,159,107,68,147,147,144,143,141,140,138,135,134,130,157,158,158,158,159,158,158,158,158,157,139,127,142,106,77,151,112,67,148,148,146,145,144,142,140,137,140,115,159,160,160,160,161,160,160,160,159,162,172,158,120,95,72,135,127,78,144,151,148,147,146,145,142,140,141,126,162,162,162,164,163,163,163,162,164,155,133,158,129,131,80,109,118,74,140,156,151,150,148,147,144,143,142,132,164,164,164,164,164,165,165,166,164,169,115,86,138,146,69,55,80,61,135,161,153,152,151,149,146,144,143,134,166,165,164,165,165,166,166,167,166,174,120,35,126,142,93,52,50,44,126,164,155,153,153,151,147,145,144,143,167,167,166,166,166,167,166,168,167,167,123,65,88,132,121,81,76,33,114,168,156,154,154,153,150,147,146,144,168,168,168,168,169,169,170,170,162,160,130,104,56,65,119,104,86,32,94,172,157,157,156,154,151,150,147,145,170,170,171,171,171,170,172,166,162,147,145,131,87,63,87,110,92,44,74,173,160,159,158,156,154,151,148,146,171,171,171,171,171,172,170,162,145,99,109,135,110,64,64,104,125,75,50,159,165,160,159,158,156,153,151,148,173,173,173,173,173,174,170,161,154,112,47,91,106,48,48,87,135,109,44,105,174,160,160,159,156,154,152,150,174,175,174,174,175,176,173,161,142,116,75,50,83,54,50,127,150,130,59,68,174,163,163,162,158,156,154,152,174,176,176,176,176,177,175,159,157,145,83,57,86,77,97,164,152,116,49,81,176,163,163,161,159,158,156,154,176,177,178,178,178,179,178,157,161,148,96,75,93,150,170,161,131,101,32,115,177,163,164,162,160,159,157,154,179,178,178,179,179,180,180,157,153,143,112,75,95,172,170,144,109,86,37,148,173,165,165,165,162,160,157,154,178,178,178,178,179,180,181,156,140,136,113,80,92,159,150,127,96,63,53,170,169,166,165,165,161,160,163,163,178,178,178,178,179,180,182,164,139,136,114,94,95,157,147,115,82,39,86,181,166,166,164,162,167,164,143,108,179,179,179,180,180,180,181,176,144,135,121,102,86,145,134,97,62,32,144,176,167,167,169,163,139,81,36,31,179,180,181,181,181,182,182,179,153,138,121,99,80,111,102,69,33,69,180,169,169,162,128,76,36,22,18,27
3,155,157,161,162,163,164,165,166,167,167,168,167,164,182,167,154,168,165,165,163,163,161,159,158,157,156,154,151,158,160,163,165,166,167,168,169,170,171,171,171,164,193,192,128,168,170,167,166,165,164,162,161,159,157,155,153,160,162,165,167,169,170,171,171,173,173,173,173,170,184,212,127,152,175,169,168,168,167,165,163,161,160,157,156,162,164,167,169,170,172,172,173,174,174,174,176,175,176,220,159,139,178,172,171,170,169,167,165,164,162,160,158,163,166,168,170,172,174,175,176,176,176,176,177,180,171,219,184,127,176,174,173,171,171,169,168,166,164,162,162,166,168,171,173,174,175,177,178,178,179,177,178,175,194,222,189,138,169,180,176,174,172,170,170,168,167,165,163,168,170,173,175,175,177,179,180,181,178,190,211,195,206,225,227,183,152,178,178,176,174,174,173,171,169,168,166,168,172,174,177,177,179,179,181,184,176,210,232,232,214,174,194,197,129,178,178,166,179,175,174,173,171,170,169,170,173,176,179,180,182,181,183,182,193,222,221,192,205,173,130,194,161,184,156,154,185,177,177,175,174,173,171,173,175,178,181,182,184,184,186,184,223,231,223,177,157,184,149,165,196,182,137,127,187,180,180,178,176,174,173,175,177,181,183,185,186,187,186,191,222,189,163,200,185,157,178,132,131,172,153,116,161,188,181,180,178,176,175,176,179,182,185,186,187,188,186,198,223,166,97,121,149,117,127,115,86,153,179,141,136,189,183,181,180,179,177,178,181,184,186,186,188,190,188,204,219,152,126,114,110,111,109,106,89,139,189,146,145,189,185,183,182,180,179,179,183,186,187,188,191,192,188,211,218,182,159,127,116,116,121,104,96,172,195,144,157,191,185,184,184,183,181,181,184,186,188,190,192,193,190,216,225,190,147,121,118,126,124,128,151,197,200,146,168,192,186,187,186,184,182,183,185,187,190,192,193,195,193,216,224,176,134,119,123,134,136,177,205,211,195,140,177,193,189,188,187,186,183,183,186,190,191,192,194,196,193,215,223,177,139,126,128,138,159,209,221,206,179,134,182,195,191,190,188,187,185,184,187,191,192,193,196,198,195,215,227,187,148,133,134,141,183,222,219,196,153,141,192,194,191,190,190,187,187,186,189,192,193,196,197,199,196,211,229,192,156,138,140,155,205,221,211,189,141,147,199,193,193,197,195,193,186,186,190,192,194,195,197,198,196,209,231,203,166,143,145,163,216,219,200,180,136,157,202,195,197,164,139,135,121,186,189,192,194,196,197,198,199,206,228,207,175,152,153,168,213,213,190,168,132,172,201,204,168,113,115,109,106,187,190,194,197,198,199,199,201,203,221,209,185,164,165,165,199,197,172,152,132,188,203,196,134,110,108,104,101,188,191,194,197,198,199,200,202,203,218,214,193,171,171,152,171,174,148,132,144,207,195,139,105,94,81,69,55,188,192,193,196,198,200,200,208,181,194,225,199,174,160,137,142,145,134,117,167,161,120,106,98,84,71,71,62,192,194,197,201,202,202,208,185,75,156,232,197,162,138,119,121,124,124,88,68,88,108,107,106,90,66,62,65,174,179,182,185,188,189,196,117,28,133,221,178,138,113,102,113,113,100,52,24,61,95,94,99,107,79,57,62,118,120,122,123,122,121,130,111,55,86,167,172,132,97,108,117,98,68,31,43,84,79,80,84,104,96,65,55,118,116,121,121,118,120,124,130,106,91,115,157,127,103,119,108,85,62,47,64,87,66,63,74,91,102,79,56
7,132,143,149,149,155,162,168,172,175,177,180,182,184,187,189,191,191,192,193,193,192,193,193,192,190,191,189,188,134,143,149,150,156,162,169,173,176,179,181,183,187,189,190,191,193,195,195,196,195,196,197,194,193,192,191,190,136,144,150,152,157,164,169,173,178,181,183,185,188,190,192,193,195,196,197,197,197,196,197,196,195,195,193,191,136,145,149,152,158,165,169,174,179,181,183,187,189,192,194,195,196,197,198,198,197,198,199,198,197,197,195,194,138,146,150,153,159,166,171,174,178,183,186,189,191,194,195,197,197,199,198,198,200,200,199,199,199,198,197,195,140,148,153,155,161,166,171,176,180,183,187,190,193,196,197,199,198,201,201,201,201,201,200,200,201,199,199,196,142,149,155,157,162,169,174,178,181,185,191,192,195,198,199,202,201,203,203,204,203,202,202,201,202,200,200,198,142,150,155,158,165,168,171,180,181,185,188,190,190,197,199,199,201,204,204,205,207,204,202,202,203,202,201,200,141,151,157,157,160,175,201,203,190,193,205,204,204,200,190,185,195,190,192,192,197,206,208,206,205,204,204,202,144,152,151,160,194,220,225,213,187,178,196,209,214,209,187,188,211,194,180,170,153,183,192,205,206,205,204,205,139,151,184,218,225,220,224,210,177,168,179,192,198,197,171,170,191,178,170,162,151,168,151,207,213,208,206,206,171,213,227,223,220,223,221,196,171,169,186,212,217,222,201,195,189,180,195,186,167,161,167,180,192,209,208,207,230,229,224,232,224,224,228,210,146,132,140,167,173,177,182,189,186,188,196,200,188,183,187,166,182,178,204,207,232,232,231,232,226,232,239,202,130,106,117,102,84,108,133,145,150,152,152,158,161,161,163,156,171,159,207,211,236,233,230,232,230,233,227,163,115,109,111,114,87,61,81,195,198,202,199,195,189,181,181,177,177,197,211,208,231,230,227,229,227,231,215,153,99,102,124,125,120,95,93,212,213,213,214,217,217,217,217,216,215,212,210,209,237,234,233,236,238,244,222,141,97,82,73,119,144,114,86,181,217,210,213,212,212,211,210,210,209,210,210,208,233,233,228,220,223,224,177,131,101,100,68,79,117,117,112,193,216,211,213,214,215,214,214,214,211,212,211,211,218,216,202,193,201,184,147,128,118,104,97,87,125,157,186,211,212,213,214,215,215,216,216,215,213,213,212,212,200,189,183,179,183,156,122,116,111,114,95,93,192,215,211,210,211,214,214,215,215,217,215,214,215,215,212,211,169,170,159,142,129,128,148,159,134,132,133,159,207,205,207,211,214,214,215,216,214,215,216,215,215,214,214,212,133,130,119,120,141,169,185,192,195,195,201,204,204,207,209,212,213,215,214,215,215,215,216,214,212,212,212,212,104,97,98,123,135,130,128,129,129,130,130,129,130,133,134,132,133,135,136,133,131,130,130,128,126,126,125,123,77,97,106,101,105,103,101,98,98,98,98,99,100,101,99,96,95,97,98,99,100,99,99,97,93,93,93,92,97,105,110,110,111,113,111,111,112,112,113,111,111,111,109,114,115,110,108,108,108,108,107,105,101,104,103,93,101,104,111,111,111,112,110,108,109,110,110,108,108,107,106,114,116,113,114,108,105,104,104,104,104,100,94,137,101,99,111,112,112,111,110,110,111,111,110,110,111,109,109,108,106,107,109,106,105,104,104,106,99,111,179,209,99,92,107,114,113,114,114,112,113,114,113,112,113,112,112,110,108,108,108,107,108,105,103,101,105,203,196,172
0,196,196,196,196,197,197,197,197,197,198,199,200,198,198,198,198,198,197,198,198,197,197,197,198,198,196,196,196,197,197,197,197,198,198,199,199,199,200,200,200,200,199,198,198,198,197,199,199,198,198,198,199,198,197,197,197,197,198,199,198,199,200,199,199,199,199,199,200,201,200,199,198,198,199,200,200,199,199,199,199,199,198,197,197,199,199,200,200,200,201,200,199,192,181,185,191,192,193,194,193,192,195,199,200,200,199,199,199,200,199,198,198,200,200,200,201,201,201,200,203,185,141,129,159,166,156,165,178,167,156,172,182,181,187,194,199,200,200,199,199,201,200,201,201,201,201,200,199,184,126,85,127,152,118,114,155,146,106,108,140,131,127,153,187,200,200,199,199,201,201,201,201,199,199,191,177,176,137,90,106,136,101,85,132,126,84,81,124,109,80,96,146,189,200,200,200,202,202,203,202,199,194,182,158,158,150,106,86,117,94,72,118,118,76,80,125,107,72,87,118,154,194,201,201,203,203,203,203,200,193,179,153,134,132,102,72,103,86,60,111,123,78,83,134,119,85,99,120,116,164,200,201,204,203,204,203,201,193,178,153,123,105,85,73,95,75,55,111,120,80,100,146,138,116,110,110,95,125,194,202,204,205,205,204,201,194,183,166,138,105,83,76,82,71,63,102,113,111,142,156,146,128,108,90,78,114,192,202,205,206,206,206,202,197,189,178,160,127,92,75,73,81,89,108,135,157,169,164,148,124,103,84,73,126,197,204,206,206,207,207,204,200,195,186,175,153,114,85,81,90,104,134,166,179,180,170,148,118,97,82,76,146,203,205,206,207,207,207,203,200,201,194,187,174,143,113,105,102,118,154,177,188,189,173,144,114,93,78,89,171,207,206,207,208,208,208,203,195,203,203,198,188,167,145,134,121,128,158,177,190,192,171,138,109,90,78,118,193,208,207,208,208,209,209,205,190,198,207,206,197,181,165,153,142,138,156,177,189,185,164,129,103,88,87,156,204,208,207,209,209,209,209,208,190,188,205,210,203,190,176,165,154,146,150,169,183,176,153,120,97,84,104,184,208,208,208,209,209,209,210,210,196,179,197,210,208,196,183,172,161,149,145,156,169,161,137,111,92,80,128,200,209,208,209,209,209,209,210,210,204,179,186,207,209,195,181,173,162,149,142,147,155,146,121,100,84,89,163,207,209,209,209,209,209,210,211,210,209,189,181,205,206,189,177,173,161,151,140,134,138,133,109,89,79,124,194,210,209,210,210,210,210,211,212,211,211,199,187,205,207,192,184,183,167,153,137,123,123,122,102,82,100,173,208,211,211,212,212,210,211,212,213,212,212,203,191,207,211,199,191,190,171,152,135,118,112,113,97,84,145,203,212,213,213,213,213,210,211,212,212,212,213,203,186,204,212,204,194,188,169,149,133,118,108,107,91,94,176,211,214,214,213,213,213,210,210,211,211,212,213,203,184,203,211,205,193,182,166,147,132,119,106,102,86,107,190,210,214,214,214,214,214,209,209,209,210,211,212,202,191,204,210,204,192,179,165,148,132,120,104,96,83,120,201,212,213,214,214,214,214,210,210,209,210,211,210,200,197,204,204,200,188,176,163,148,131,118,101,90,82,132,205,212,212,213,214,214,214,211,211,210,211,212,210,197,195,201,201,197,182,169,159,147,130,113,95,85,83,145,204,210,212,212,213,213,213,211,211,210,211,213,210,195,191,199,201,196,178,163,154,145,129,110,90,80,84,158,205,211,212,213,213,213,213
23,179,182,183,184,186,186,188,190,190,191,191,193,193,194,194,194,195,195,194,194,194,193,193,193,192,192,193,193,181,183,185,186,188,189,192,193,193,193,193,195,196,198,198,197,196,195,196,196,195,195,195,196,195,196,195,196,182,185,187,188,189,190,193,194,194,195,195,197,199,198,197,199,207,219,224,209,191,192,198,194,196,197,197,198,183,186,188,190,190,191,194,196,197,197,197,199,198,206,214,228,237,235,223,207,197,186,176,143,191,198,199,199,186,187,189,190,191,193,194,197,197,197,199,198,209,251,243,219,216,209,175,149,151,144,130,153,200,200,201,200,186,188,190,192,193,194,195,197,198,199,200,195,223,255,224,188,182,152,142,178,171,167,183,203,201,201,202,202,188,189,192,193,195,196,198,199,200,201,201,196,236,255,213,156,132,160,196,207,207,207,206,204,202,202,203,203,189,191,193,195,196,199,200,200,201,202,202,202,249,248,213,164,172,208,212,225,215,193,207,205,204,204,204,204,190,193,194,196,198,200,200,201,204,205,201,213,255,240,223,151,184,236,246,251,224,152,206,211,208,206,207,207,191,193,195,197,199,199,201,203,206,207,200,226,255,233,228,193,244,255,250,237,198,138,142,165,209,210,209,208,193,195,196,199,200,201,203,205,207,206,202,243,252,233,247,254,253,245,229,217,209,212,151,102,180,213,209,209,194,197,199,200,202,204,206,208,208,206,211,253,251,245,245,248,245,238,237,237,236,230,177,110,145,217,210,212,196,198,201,203,203,205,207,209,208,212,240,250,246,242,237,242,245,245,239,232,216,201,160,111,110,183,214,212,197,199,201,203,204,206,208,209,207,241,252,252,250,245,235,232,235,236,227,216,205,210,176,106,102,139,219,214,199,200,202,204,206,208,209,210,207,248,255,254,253,245,228,227,232,232,227,216,212,213,184,114,96,153,221,216,201,202,203,206,207,209,211,212,211,242,255,255,255,250,240,241,229,222,215,205,201,193,159,115,102,189,221,217,201,203,204,207,208,209,213,214,210,235,255,254,254,250,240,242,210,186,183,174,165,158,150,118,126,217,220,217,202,204,207,208,210,211,213,215,211,231,255,254,254,247,237,230,198,154,124,108,122,157,148,115,162,225,220,218,204,206,208,210,212,213,215,216,213,228,255,255,254,243,234,216,190,159,116,44,103,157,145,114,194,224,222,221,206,207,209,211,214,214,216,217,217,225,255,255,255,245,232,239,226,148,78,76,128,147,125,121,216,222,221,223,207,208,211,213,214,216,217,217,219,224,255,255,254,246,240,240,210,149,86,97,128,117,107,150,229,223,222,224,208,209,212,214,215,216,218,218,219,223,254,255,254,249,245,238,199,157,111,87,99,109,109,169,231,223,223,223,208,210,212,214,217,218,219,220,221,221,252,255,254,249,249,239,200,156,124,82,102,118,111,187,231,225,225,225,209,210,213,215,217,218,220,221,222,222,251,255,254,251,250,237,201,159,133,99,112,123,115,209,228,227,227,227,209,211,214,216,217,219,221,223,223,223,252,255,253,251,248,234,203,163,135,110,120,124,130,228,226,227,228,229,210,212,214,215,217,219,222,224,224,223,252,255,254,248,241,224,195,160,135,117,120,115,166,236,228,228,228,229,212,214,215,217,219,220,223,224,226,224,251,255,254,243,228,211,185,152,136,125,118,120,219,232,229,230,230,230,213,215,216,218,221,223,224,224,227,225,250,255,254,238,215,194,167,148,140,131,113,161,236,230,230,231,231,231
10,89,94,98,97,79,67,72,40,38,59,64,70,77,91,100,107,112,119,123,129,135,139,140,144,145,148,150,152,96,102,106,100,86,69,83,35,45,61,66,71,95,129,102,109,114,121,126,131,135,139,142,145,147,149,150,152,106,112,116,103,93,69,92,29,51,62,67,71,131,147,92,109,116,124,129,133,136,140,144,146,148,149,151,152,115,122,125,107,100,72,96,25,56,64,68,74,121,156,96,100,122,127,132,135,139,144,148,150,151,152,152,153,124,131,132,110,104,78,96,25,59,66,69,75,101,160,111,88,126,133,137,141,144,149,153,155,157,157,157,157,133,141,138,114,107,86,90,28,64,67,70,76,90,161,133,87,127,139,143,146,152,157,160,162,162,163,163,163,141,149,142,119,107,96,82,34,66,69,73,77,90,154,147,96,117,144,149,153,159,164,166,168,169,169,169,170,148,154,144,125,105,109,72,42,66,70,74,79,95,142,158,108,103,150,155,160,164,169,172,174,175,175,175,176,153,160,144,129,102,120,59,49,68,71,74,81,98,140,175,124,96,156,161,165,171,175,178,181,182,182,182,182,158,165,146,135,100,130,49,57,69,72,75,81,101,141,175,131,94,160,167,172,176,180,183,186,187,188,188,188,162,168,146,140,98,134,41,79,76,72,76,84,105,141,165,130,90,159,171,176,181,186,189,192,193,194,194,194,166,171,147,142,99,132,87,120,80,79,91,85,108,147,145,133,88,153,176,180,186,191,194,197,197,197,198,199,168,171,147,141,102,129,117,114,77,64,66,71,100,156,133,152,87,142,179,184,190,196,198,200,201,201,201,202,171,171,149,139,110,140,100,109,97,73,62,52,59,89,108,129,84,125,183,188,194,199,202,203,204,204,205,206,173,171,152,135,120,110,70,77,114,101,80,52,40,66,87,99,88,104,186,192,197,201,203,206,206,206,207,208,175,169,157,131,128,101,71,106,130,117,82,55,45,52,68,81,83,87,186,195,200,204,207,207,208,209,210,210,178,168,159,125,139,82,101,159,155,116,87,67,57,54,62,68,76,85,187,197,201,206,209,210,211,212,212,213,179,169,161,118,147,69,107,168,155,104,103,86,66,59,58,62,70,88,190,200,204,208,211,213,214,215,215,215,182,169,162,114,155,57,78,183,179,95,83,101,86,71,56,56,68,96,194,201,206,211,213,214,215,216,216,217,182,170,167,113,158,47,78,184,188,92,117,107,104,83,61,56,64,109,196,201,207,211,214,215,217,218,218,218,182,171,170,114,163,40,73,173,139,108,166,128,109,97,68,59,62,117,198,202,207,212,215,217,218,220,221,220,182,173,169,117,159,35,71,160,170,151,176,149,119,103,81,67,65,127,197,203,207,211,215,216,217,220,221,220,183,177,166,124,151,31,72,127,174,167,168,155,139,110,86,71,66,131,198,203,207,211,215,216,218,219,221,220,185,178,160,133,141,31,73,88,170,187,165,165,141,115,91,75,67,128,198,203,207,211,215,218,219,219,221,222,184,178,152,142,137,60,86,81,160,186,163,177,138,114,90,77,71,138,197,203,208,211,215,217,219,220,222,224,177,178,146,150,160,107,103,103,134,179,163,171,133,109,91,83,70,115,145,153,157,161,167,170,173,177,180,177,182,178,140,159,158,101,99,101,105,164,158,150,139,122,108,87,66,93,112,113,113,115,115,116,116,115,113,80,184,175,135,166,156,102,101,103,104,129,135,132,141,143,131,90,61,62,111,113,115,117,117,115,115,116,94,63
15,69,68,69,72,72,74,77,90,102,113,123,132,140,144,145,148,154,158,164,168,172,176,177,179,182,185,186,189,69,68,71,71,71,73,78,90,101,114,124,132,140,144,145,149,154,159,165,169,173,177,178,182,184,186,188,191,68,69,69,71,73,73,78,92,103,115,124,134,142,145,145,149,154,160,166,170,174,177,180,183,185,189,191,193,68,69,69,71,75,74,79,92,105,116,126,134,142,147,146,148,156,164,167,170,175,178,181,185,187,190,191,193,68,68,72,69,70,72,79,94,107,116,127,136,142,146,147,150,157,163,167,172,176,179,182,185,188,191,192,194,70,71,65,84,102,82,82,93,107,118,128,137,145,148,148,152,158,164,169,173,177,180,183,186,189,191,192,195,70,69,67,177,147,120,117,110,105,110,126,134,133,134,141,154,162,168,172,174,176,181,184,187,191,192,193,196,69,67,77,164,126,110,110,106,94,112,112,115,107,108,110,117,131,150,166,178,183,184,184,186,190,192,194,197,69,71,67,95,95,77,83,72,76,104,92,96,90,114,116,109,109,113,123,131,140,165,192,188,190,192,195,198,70,68,70,69,70,70,73,68,73,78,74,70,77,113,110,107,111,114,125,110,93,86,134,201,189,193,197,199,69,69,69,72,72,74,82,96,106,107,110,106,95,97,92,89,83,118,135,123,106,103,66,140,205,191,198,200,68,69,70,70,72,72,81,97,108,124,133,142,148,126,87,82,121,140,139,130,101,122,97,59,164,205,196,201,69,69,70,71,72,73,83,97,109,117,135,157,143,123,100,134,178,123,141,109,141,129,114,88,67,189,203,200,69,68,69,70,72,71,83,99,104,141,185,148,109,101,86,98,160,99,92,150,157,121,151,118,63,93,212,201,67,67,67,67,70,69,81,98,97,180,185,104,93,104,102,76,100,58,92,197,112,121,159,133,92,43,144,217,67,67,66,67,69,69,81,99,97,165,151,89,102,122,128,118,92,61,108,146,74,116,159,141,102,63,59,163,66,65,64,66,68,69,82,99,98,159,139,68,114,129,141,127,87,83,92,94,103,123,131,122,94,65,55,64,65,64,65,67,68,68,81,98,97,161,195,107,102,131,139,116,76,78,90,95,109,115,100,75,72,62,57,60,63,64,64,66,66,67,80,98,100,161,160,187,139,95,84,76,72,86,88,92,100,116,98,61,60,60,60,65,63,64,63,65,65,67,78,96,100,203,161,165,169,121,77,29,37,72,93,98,109,121,93,63,60,61,63,66,59,61,61,63,62,65,79,93,103,142,157,174,159,148,115,55,6,16,48,108,105,101,75,63,65,67,65,63,62,61,59,60,59,63,76,91,105,112,125,141,131,135,114,104,37,26,45,105,121,97,79,77,80,78,71,65,123,117,113,109,111,113,113,116,119,123,128,129,110,104,133,165,81,28,62,62,114,127,113,97,86,78,69,65,99,98,98,101,103,101,100,99,91,90,93,98,102,97,108,181,85,72,79,61,76,90,91,84,73,68,63,61,104,102,103,104,102,102,103,106,99,99,103,103,104,106,98,115,93,108,108,102,101,85,69,66,63,59,56,56,108,106,105,106,107,106,105,108,108,107,110,108,107,110,111,105,110,107,110,111,129,121,94,75,67,60,55,57,111,110,107,107,109,108,108,109,109,109,109,110,108,108,108,109,110,110,107,106,123,131,119,87,80,92,80,61,110,109,107,106,109,111,110,110,110,111,112,110,109,110,108,109,109,110,109,111,98,131,170,111,120,127,108,87
10,117,118,119,119,119,120,121,122,121,120,120,121,120,118,118,117,115,115,112,113,112,109,108,108,107,105,104,104,123,123,123,124,124,124,124,125,124,123,123,123,122,122,120,119,118,116,119,109,108,112,110,109,107,107,106,104,128,127,128,129,129,129,130,130,129,129,128,127,126,125,124,122,122,116,141,108,72,118,111,110,109,109,108,107,132,132,132,133,134,133,134,133,133,133,132,131,131,129,127,125,125,120,146,115,60,115,114,113,112,110,109,108,137,137,137,137,138,138,138,136,137,138,137,136,135,133,131,130,129,125,148,114,58,113,121,116,115,113,111,110,141,141,142,141,143,142,141,141,142,142,141,140,138,137,136,134,133,130,149,105,54,115,125,119,117,116,115,113,146,146,145,146,147,147,146,146,147,146,146,144,142,141,140,138,138,134,155,120,58,117,130,123,121,120,118,115,150,151,150,150,150,151,151,150,151,151,151,148,147,145,144,143,140,141,161,114,91,121,132,127,125,123,120,118,152,152,153,154,154,155,154,153,154,155,153,152,151,150,148,147,143,155,157,136,115,84,140,130,128,126,124,121,155,156,156,157,158,157,157,157,157,158,157,156,155,153,151,150,144,131,136,154,106,53,142,134,131,129,127,125,158,159,159,160,160,159,159,159,160,160,159,158,157,157,156,155,153,130,107,119,120,43,97,149,134,133,130,128,161,161,161,162,162,163,162,161,163,163,162,161,159,159,155,151,167,164,129,88,79,72,39,127,142,136,132,132,164,163,165,165,166,166,165,166,166,167,166,166,167,164,135,103,97,138,146,140,95,62,44,78,152,136,136,136,166,166,167,168,168,168,168,168,168,168,168,150,124,152,155,122,63,24,132,149,79,41,33,79,154,140,140,138,169,169,170,170,171,170,169,170,170,168,168,149,111,97,168,148,101,13,23,66,72,52,29,91,158,143,143,141,171,172,171,172,173,172,172,172,173,170,165,166,153,104,128,169,116,57,12,21,127,93,32,99,159,147,145,142,172,173,173,173,173,173,173,174,173,171,140,132,159,126,81,149,126,72,24,50,127,123,43,97,163,149,147,145,174,175,175,174,175,175,176,177,174,172,152,94,115,119,37,94,135,66,31,62,117,123,41,89,164,149,149,147,176,176,177,177,178,177,178,178,177,165,141,99,77,101,49,57,138,109,52,71,115,87,32,102,165,150,151,148,178,178,178,179,179,179,179,180,176,168,164,140,83,89,88,56,122,146,81,60,98,57,33,137,162,153,152,150,179,179,179,179,180,180,180,181,178,171,178,150,109,88,86,73,129,130,66,49,84,46,52,164,157,155,154,152,180,180,179,180,181,181,180,181,182,169,178,165,131,101,94,116,174,155,99,74,76,38,86,174,158,157,156,153,182,182,181,182,183,183,184,184,185,170,166,165,142,115,106,126,171,167,138,99,72,31,120,173,159,159,156,154,182,182,183,183,183,185,186,185,187,173,156,162,149,137,120,125,165,158,121,85,61,38,154,168,162,160,158,155,181,181,181,182,183,184,185,184,186,183,155,154,157,153,126,115,153,137,106,75,38,69,176,164,164,161,159,157,181,182,182,182,183,185,185,185,185,188,165,140,152,144,125,101,126,118,88,63,21,120,175,162,163,160,158,156,182,183,184,185,185,186,186,187,186,187,183,151,146,136,120,101,107,117,87,45,52,169,167,164,162,160,158,160,183,184,185,185,185,186,187,187,188,187,183,165,147,130,121,111,101,114,82,30,115,181,165,166,163,160,161,123
3,164,167,170,172,174,175,176,177,178,178,179,178,178,191,181,164,174,176,175,174,172,171,169,167,166,164,162,159,167,169,172,174,176,178,178,179,181,181,181,181,181,199,194,154,170,179,177,176,175,174,171,170,168,166,163,162,169,172,174,177,179,181,181,182,183,184,184,184,184,199,207,156,161,181,180,179,178,177,175,173,171,168,166,164,172,174,177,179,181,183,184,185,186,186,186,187,187,196,218,175,156,181,184,182,181,180,178,175,173,171,169,167,173,176,179,181,184,185,186,187,188,188,188,189,190,197,223,192,154,178,186,184,183,181,180,178,176,174,172,171,176,179,182,184,186,187,189,190,190,191,192,195,196,211,231,205,165,175,188,188,186,184,182,181,179,177,175,173,178,181,184,186,187,189,191,193,193,194,207,221,218,223,233,227,193,169,185,189,187,186,185,184,182,180,178,176,180,183,186,189,190,191,192,194,196,199,225,245,239,226,203,203,197,163,183,185,180,188,188,186,184,183,181,180,182,185,188,191,193,194,195,196,199,214,237,239,218,209,186,165,189,180,186,169,166,190,191,189,187,185,184,182,185,187,191,194,196,197,198,199,205,232,240,227,200,185,183,166,174,188,185,154,146,185,193,192,190,188,186,185,187,189,193,196,198,199,200,201,211,230,207,182,190,184,169,166,145,146,171,159,139,168,194,195,192,190,189,187,189,192,195,198,200,201,202,203,216,227,178,129,136,147,132,131,116,108,154,175,151,156,192,197,194,193,191,190,191,194,197,200,201,203,204,206,221,224,174,134,121,118,114,113,104,101,150,185,160,161,194,198,196,195,193,192,193,196,199,201,203,205,206,208,226,229,193,158,129,118,118,118,109,117,173,195,164,170,197,199,198,197,196,194,194,197,200,203,205,207,208,211,231,235,200,156,128,122,126,129,139,163,202,203,166,179,201,201,200,199,197,196,196,199,201,204,207,208,210,213,232,234,192,147,126,126,136,149,183,211,220,201,163,184,204,204,202,201,199,197,197,200,204,206,207,209,211,214,232,234,192,150,132,133,145,173,216,233,220,187,159,189,207,206,204,202,201,199,199,202,205,207,209,211,213,215,232,237,200,159,139,140,155,195,232,234,209,169,160,196,208,207,206,205,202,200,200,203,206,209,211,212,214,215,230,240,208,168,147,148,169,214,235,226,198,159,164,203,210,208,205,199,194,188,201,204,207,209,211,213,214,215,229,242,217,179,154,155,179,223,233,216,188,154,171,208,212,201,173,153,144,134,201,204,207,210,212,213,215,217,227,241,222,189,165,164,183,221,225,203,175,152,182,212,210,175,132,118,112,108,202,205,208,212,214,215,216,218,224,236,226,199,177,174,180,206,207,183,160,153,194,212,194,144,112,103,96,91,203,206,209,212,214,216,217,219,219,231,230,208,186,176,166,178,179,158,143,159,199,191,150,112,92,79,68,57,204,207,209,213,215,217,218,212,189,208,234,214,186,165,147,148,150,137,125,148,157,135,114,98,82,67,60,53,203,206,209,213,215,217,214,176,114,168,232,210,172,143,125,125,127,117,87,77,92,104,103,99,86,64,55,55,179,182,186,189,191,193,186,125,63,132,209,192,150,119,108,113,109,89,49,32,60,86,91,95,95,74,54,52,131,133,136,137,137,138,138,109,67,99,164,173,138,107,108,110,93,63,31,36,67,74,75,82,95,86,61,49,119,119,123,123,121,123,127,122,97,95,128,155,132,108,113,106,82,55,38,51,72,63,60,71,88,92,70,50
3,62,28,42,67,84,94,104,113,120,125,130,133,136,138,140,143,145,147,149,148,138,147,156,158,160,161,161,162,57,27,45,69,86,96,105,114,121,126,130,134,136,139,141,144,146,148,152,151,123,135,156,159,160,161,162,163,50,26,48,71,87,97,107,116,122,127,131,135,137,139,142,145,147,149,156,157,119,126,156,160,160,162,163,164,43,28,52,74,89,99,108,117,123,128,133,136,138,141,143,146,149,151,159,157,116,126,157,160,161,162,164,165,36,29,55,76,90,100,110,119,124,129,134,137,139,143,145,147,149,152,162,155,115,129,158,162,163,164,165,166,29,32,59,79,92,101,111,120,126,131,135,138,141,143,149,152,144,145,161,147,112,130,160,164,165,166,167,168,23,36,62,81,94,103,113,122,127,132,136,142,145,140,153,165,148,129,147,133,106,132,162,165,166,167,168,169,20,40,65,83,95,104,114,123,128,132,138,157,167,150,137,151,153,124,132,123,102,139,165,167,168,168,169,170,19,44,68,85,96,106,116,124,129,136,147,157,162,160,136,126,149,138,137,119,103,147,166,168,169,170,171,171,21,47,71,87,98,108,117,124,130,151,172,157,131,134,136,115,133,139,139,117,103,146,166,168,170,171,172,172,24,51,73,89,99,109,118,125,132,157,167,152,134,121,133,121,96,98,131,128,111,127,161,169,171,172,173,174,28,54,75,90,100,109,119,126,134,159,148,121,127,121,120,123,90,86,125,148,134,113,147,170,172,173,174,175,33,57,77,91,101,110,120,126,137,161,138,102,99,97,100,103,99,100,118,151,140,111,145,171,173,174,175,176,36,60,79,92,102,111,120,126,140,162,142,120,103,89,95,103,113,112,125,156,140,113,153,173,174,175,176,176,40,63,81,93,103,112,121,126,145,169,151,125,102,91,102,118,127,123,140,167,140,118,160,174,175,176,178,178,45,66,82,94,104,113,121,127,148,169,145,116,97,96,111,130,139,143,160,170,134,121,165,175,175,177,178,179,49,68,84,95,105,114,122,127,149,169,144,117,101,102,117,139,152,168,174,164,127,121,166,175,176,177,178,179,53,70,85,96,105,115,122,127,149,172,152,124,107,106,121,147,170,183,172,149,119,123,169,176,178,179,179,180,56,71,87,97,106,115,123,128,149,174,158,133,114,111,126,158,183,186,167,134,107,130,172,176,178,179,180,180,59,73,87,98,107,116,123,129,148,175,164,140,120,118,133,169,186,181,162,126,99,136,173,176,178,180,180,180,61,74,88,98,107,116,123,129,143,169,164,145,131,126,139,175,185,174,155,119,98,145,175,177,178,180,181,181,64,76,88,98,107,116,123,128,138,160,163,152,143,135,143,171,178,166,146,112,101,155,176,178,179,180,181,181,66,77,89,98,108,117,123,128,136,153,165,159,151,142,140,160,166,153,136,106,112,165,177,178,179,180,181,181,67,78,90,99,108,118,124,129,135,152,169,164,153,140,135,147,152,144,130,103,129,172,177,178,179,180,182,182,67,79,90,99,108,118,124,129,135,156,175,165,150,135,130,139,141,138,125,108,149,175,178,179,180,181,182,183,68,80,90,99,109,118,124,129,136,161,180,166,151,136,133,139,136,132,114,120,165,176,177,179,180,181,182,182,69,81,91,100,109,118,123,129,137,167,183,172,155,140,141,144,134,122,106,135,171,176,178,179,180,181,182,182,69,81,91,100,109,117,123,130,139,171,186,178,156,142,146,145,129,110,102,146,173,176,178,179,180,181,182,182
24,171,173,173,174,175,175,176,176,176,176,176,176,176,176,175,174,172,171,170,170,169,167,166,166,164,162,160,158,174,175,177,178,178,178,179,179,179,179,179,179,179,178,178,178,177,175,174,173,171,170,170,168,166,165,163,161,178,179,180,181,181,181,182,182,182,181,181,181,182,182,181,180,179,178,177,176,174,173,172,172,170,168,167,165,181,182,183,184,185,185,186,185,185,185,184,184,185,185,184,183,181,181,180,179,178,176,158,152,174,172,170,168,184,185,186,186,186,187,187,187,187,187,187,186,186,187,186,186,185,183,182,182,180,181,150,110,171,174,172,170,188,188,188,189,190,189,189,190,190,190,190,189,189,189,188,187,187,186,185,185,182,187,150,104,170,177,175,172,190,191,191,192,194,192,193,193,182,155,187,193,192,192,192,190,189,188,187,186,185,190,145,107,175,180,177,175,192,193,194,194,194,194,195,194,172,119,150,197,196,196,195,194,193,191,190,189,190,192,139,114,181,181,180,178,194,195,196,196,197,196,196,197,175,130,114,193,197,198,198,196,195,194,193,190,196,189,132,125,186,184,182,180,196,197,198,199,199,199,199,199,191,149,102,177,201,198,199,198,196,196,195,195,202,175,113,139,190,187,185,182,198,200,200,201,201,201,201,200,199,165,107,150,204,201,201,200,199,198,194,183,196,166,97,158,192,189,188,186,200,201,202,202,202,202,202,202,203,181,130,117,200,203,201,186,171,190,179,134,124,148,105,182,193,191,189,187,202,203,204,204,204,204,204,204,205,192,146,98,180,207,192,172,148,145,148,127,98,101,116,195,195,193,191,189,203,205,205,206,207,207,207,207,207,199,159,109,144,206,184,180,156,144,137,144,134,77,129,200,196,195,193,191,206,207,207,208,208,208,208,208,208,205,178,141,113,179,169,189,161,146,144,150,133,79,148,202,198,196,194,193,207,208,208,209,210,209,209,209,208,209,192,158,108,133,142,182,173,122,105,133,146,98,128,203,200,199,196,195,208,209,210,210,211,211,211,210,212,213,201,177,154,127,122,153,169,106,58,122,163,120,95,189,201,199,197,196,209,211,213,213,213,212,213,212,213,214,205,197,171,119,92,128,149,91,57,113,175,154,95,138,204,200,199,199,212,214,214,214,215,215,215,215,214,215,209,197,158,118,98,127,139,94,79,170,190,170,107,101,200,202,200,199,214,215,215,216,216,217,217,216,217,217,214,198,178,159,122,128,146,112,142,199,188,155,95,106,202,203,201,200,215,216,216,216,217,218,218,218,218,219,217,199,191,178,132,123,123,138,200,201,172,141,81,125,208,204,203,202,214,216,216,216,217,218,218,218,218,219,218,197,192,189,152,127,112,184,209,194,164,131,78,147,210,204,203,202,215,216,216,217,218,217,217,218,219,220,218,201,186,183,165,138,117,187,202,184,155,119,75,166,208,204,203,202,216,216,217,218,218,218,219,220,221,219,220,203,181,178,173,156,124,174,200,177,141,101,77,185,208,204,203,201,217,217,217,218,219,220,220,220,221,221,221,211,184,181,176,170,133,156,191,165,123,81,94,204,208,206,204,202,217,217,218,220,221,221,221,220,221,223,222,220,194,187,177,173,134,127,167,137,97,61,129,212,209,208,206,204,207,209,211,214,216,218,218,219,221,223,223,223,201,191,177,165,135,115,135,121,82,62,174,212,209,208,204,190,134,137,141,145,149,153,159,162,166,171,174,178,191,193,172,158,145,122,124,122,73,92,197,203,202,189,145,98
16,104,110,114,114,118,123,127,130,133,136,140,142,145,146,148,150,151,153,154,155,157,157,159,160,160,159,160,161,106,111,114,115,119,123,128,131,134,137,141,143,145,148,149,150,153,154,155,157,159,159,161,161,161,160,161,162,108,113,114,116,120,124,129,132,135,139,142,145,147,149,150,153,154,156,157,158,161,161,161,162,162,162,163,163,108,113,115,118,121,125,130,134,137,141,144,146,149,151,153,154,156,157,159,160,161,161,162,163,164,165,165,166,109,114,116,118,123,127,131,136,138,142,144,145,149,152,152,155,157,157,160,161,161,162,163,163,165,166,167,167,111,116,118,119,124,128,132,136,140,144,143,153,151,151,162,154,154,163,161,161,162,162,164,165,167,168,168,168,113,118,119,121,125,130,134,138,142,142,153,191,174,183,189,159,135,137,163,168,165,164,165,167,167,169,169,169,113,119,120,122,127,130,135,140,135,175,193,198,196,198,186,161,137,107,102,135,162,171,167,168,169,170,171,171,114,119,120,122,127,132,136,137,159,199,198,199,197,187,174,150,117,107,88,83,98,133,169,171,169,171,172,172,116,120,121,123,129,135,133,160,200,197,198,198,185,169,157,128,106,110,89,94,86,82,109,168,173,171,173,173,115,119,122,124,129,136,131,176,197,197,199,191,172,146,125,101,103,101,92,101,91,89,79,99,170,174,172,173,115,120,121,124,130,136,134,185,198,198,187,173,154,120,97,96,83,101,99,105,96,90,88,78,105,185,175,173,117,121,123,126,131,138,136,190,200,190,162,147,119,97,88,64,48,106,101,103,98,93,86,88,79,118,170,177,118,123,125,128,132,139,135,186,200,190,163,122,89,74,34,14,47,103,100,106,97,91,88,91,80,19,78,188,120,124,124,128,133,140,135,178,200,193,160,103,81,45,5,8,47,103,108,112,95,88,90,89,43,13,91,193,120,124,125,128,133,139,137,164,200,190,142,89,66,40,18,34,49,83,125,107,93,87,91,53,23,12,133,192,120,124,126,128,134,140,141,153,200,178,121,82,74,76,54,63,62,94,146,90,91,91,61,11,28,15,160,186,121,125,126,129,134,140,141,154,197,154,97,89,93,84,79,73,65,152,136,86,92,59,2,17,23,25,177,182,122,126,126,129,136,142,140,169,196,131,97,101,94,92,95,64,123,174,121,94,63,9,14,29,10,43,187,181,123,126,126,131,137,144,139,174,195,109,122,87,52,70,70,77,187,172,119,82,37,21,27,18,6,67,196,180,124,126,127,131,137,144,138,185,179,87,144,83,61,68,53,93,200,180,135,61,33,24,15,18,5,112,196,181,123,125,127,131,137,141,149,196,123,101,157,81,80,86,70,83,192,182,144,49,26,20,13,21,8,135,194,181,122,124,126,130,137,139,152,146,106,155,144,82,89,91,89,74,152,183,147,54,13,17,18,23,11,130,195,181,123,126,127,131,138,143,145,146,153,163,133,85,94,96,95,74,65,125,98,25,12,17,20,25,14,136,195,182,123,126,127,131,138,143,147,151,151,163,127,88,93,93,75,44,20,18,18,16,19,20,20,24,14,142,195,182,124,126,128,132,138,142,147,151,153,164,120,83,85,78,45,20,23,26,26,27,25,24,21,24,9,97,200,182,124,127,128,132,139,143,148,153,155,165,126,88,76,61,33,27,35,36,37,36,31,27,23,26,10,100,200,182,124,127,130,132,138,144,149,152,157,158,111,91,78,65,46,39,44,43,44,41,35,31,25,28,9,120,200,184
10,84,94,112,136,146,155,160,162,164,168,170,172,172,173,174,174,172,172,171,169,170,169,163,162,161,160,156,153,85,95,114,138,148,157,161,164,167,170,172,174,174,175,176,176,176,175,173,175,155,154,169,165,163,160,159,155,85,97,115,139,150,159,163,167,169,173,175,176,178,178,178,178,179,179,175,184,138,99,173,167,167,163,160,158,88,99,118,141,152,160,166,168,170,174,177,178,179,181,182,181,181,181,178,186,143,89,167,172,168,167,163,161,90,100,120,142,154,161,168,171,172,176,179,181,182,183,184,184,184,183,181,188,139,84,163,177,171,170,167,164,91,101,121,145,155,164,171,172,175,178,181,182,185,185,186,187,187,187,185,189,139,84,164,180,175,173,171,168,93,103,123,146,157,166,172,174,175,181,184,185,187,187,188,191,188,188,186,194,148,87,164,183,176,176,173,169,94,103,124,146,158,167,172,174,177,183,187,187,188,189,190,192,192,190,189,196,141,81,164,185,178,177,174,171,95,104,125,147,159,167,173,175,178,184,188,188,191,191,192,193,195,194,196,174,103,76,167,187,180,180,176,173,96,105,126,148,160,168,174,177,180,186,189,191,192,193,193,194,190,178,199,153,69,84,177,188,184,180,178,174,97,106,128,148,160,169,175,178,181,186,191,192,193,195,198,200,186,146,134,122,73,68,186,187,185,182,178,176,97,107,129,149,161,170,176,179,183,189,192,193,194,195,178,187,199,178,126,71,75,61,166,192,185,183,179,178,99,109,131,149,162,171,176,180,184,189,193,195,200,191,140,110,109,143,89,59,79,56,123,202,184,185,182,180,99,109,133,149,162,172,177,181,184,189,194,191,182,198,163,119,34,42,42,90,95,52,112,203,186,186,184,180,100,110,133,150,164,173,178,182,186,189,197,181,131,144,186,136,59,37,41,117,143,66,102,202,187,187,185,182,100,110,135,151,164,172,179,183,187,190,198,190,168,120,165,147,88,37,48,119,165,86,89,201,190,188,185,183,100,111,135,151,164,173,180,184,188,193,197,169,177,139,129,145,94,34,64,144,164,98,70,190,193,188,186,183,101,111,135,151,165,173,179,184,188,192,202,167,135,126,84,133,108,58,103,163,144,94,66,188,195,190,188,184,101,110,136,153,165,173,181,184,188,193,199,173,129,112,90,123,154,97,124,167,113,73,80,200,195,192,188,185,101,112,137,152,164,173,181,184,188,193,195,197,164,114,106,108,150,98,126,152,105,56,98,206,192,191,189,186,100,113,138,151,164,175,183,185,189,194,193,199,179,142,114,98,151,152,148,131,102,47,117,211,193,192,191,188,98,112,137,151,163,174,180,183,187,193,194,188,178,156,133,116,167,188,151,117,94,45,139,208,193,191,188,187,97,109,135,148,162,172,179,182,186,191,196,179,168,159,146,129,159,177,140,106,83,42,163,203,192,189,186,185,96,108,134,147,161,171,178,181,187,191,196,193,169,164,152,129,146,162,127,94,62,54,192,194,192,190,187,184,91,104,131,143,158,168,176,180,185,189,193,198,180,159,144,123,124,137,110,83,43,106,208,192,192,189,188,186,106,118,141,153,165,175,182,185,189,193,197,199,200,167,136,120,114,126,115,82,45,160,200,189,188,184,182,180,136,140,145,144,138,136,136,135,135,134,134,128,143,178,144,141,130,126,120,77,53,101,107,103,101,100,100,91,98,97,97,97,97,97,98,99,100,98,98,96,108,183,163,156,134,125,104,72,52,84,86,84,82,74,39,18
24,156,158,160,161,163,166,167,167,168,169,167,169,168,168,167,166,166,167,166,165,164,163,162,160,160,160,159,158,157,159,162,164,165,167,169,169,169,170,169,170,169,169,168,169,168,168,167,166,166,165,164,164,161,159,158,158,158,160,162,164,167,168,169,170,170,171,171,171,171,171,171,170,170,168,167,167,167,166,165,165,163,160,159,159,160,162,163,167,148,166,170,172,172,173,173,172,172,172,172,171,171,169,168,168,167,167,166,165,164,163,161,161,162,164,165,176,114,157,172,173,173,173,174,174,173,172,172,171,172,171,170,170,169,168,167,167,165,164,163,164,163,166,169,166,105,157,172,174,174,174,175,175,175,173,174,173,173,172,171,171,170,169,168,167,166,164,164,165,163,165,172,161,105,156,174,175,176,176,172,167,174,174,175,175,174,173,171,171,170,170,169,168,167,166,165,165,165,166,174,165,107,157,175,176,176,179,174,135,139,171,176,176,176,174,171,159,147,135,160,169,168,167,166,166,165,168,174,164,114,148,171,172,151,173,181,158,108,115,171,177,176,173,151,119,105,100,135,171,170,168,167,167,166,168,173,167,164,166,163,181,139,139,184,162,103,85,129,178,177,165,122,93,101,136,163,173,172,170,169,169,168,169,173,184,197,181,183,187,151,121,181,153,95,74,92,171,180,149,104,98,161,174,175,174,172,171,171,170,168,171,174,180,207,185,192,191,148,95,142,121,92,65,92,160,162,122,95,147,176,176,175,174,173,172,172,171,170,172,174,187,206,186,198,195,142,89,62,112,142,133,151,159,130,99,114,177,178,177,176,176,174,174,173,172,170,173,175,203,198,172,169,175,121,86,98,178,179,167,156,147,113,94,161,181,180,179,179,177,175,174,173,173,171,173,178,194,178,154,121,119,106,145,193,195,179,159,140,125,107,117,181,182,181,181,179,178,178,175,174,173,172,174,188,191,176,155,131,100,168,209,207,196,173,145,124,109,100,158,184,182,181,181,181,179,178,177,176,174,173,174,197,202,182,157,150,169,216,213,204,189,160,130,112,103,104,178,185,183,182,182,182,181,180,179,178,176,173,175,205,208,190,178,189,216,219,211,198,175,144,115,106,95,134,186,186,185,185,184,182,182,180,179,178,177,174,175,209,210,198,196,214,221,212,203,184,156,125,106,101,105,176,189,187,186,185,184,183,182,181,180,179,178,174,175,209,215,204,208,222,212,193,181,162,135,113,103,100,161,190,189,188,187,186,185,184,183,182,181,181,179,175,177,207,219,206,198,204,197,178,160,143,117,104,95,155,189,190,189,188,188,186,186,185,184,183,182,181,180,176,178,199,211,198,196,203,200,181,161,138,109,88,114,186,193,193,191,189,188,187,187,187,185,184,183,182,181,175,179,187,194,185,196,200,197,180,156,131,98,74,149,192,193,192,192,191,189,188,187,187,187,186,185,184,181,175,179,181,190,197,201,196,189,178,152,124,90,81,173,194,193,193,194,193,191,189,188,188,187,187,185,184,183,174,177,179,199,205,193,192,184,170,148,122,89,89,182,192,193,192,192,191,189,188,188,188,187,186,185,184,183,174,177,178,203,204,184,194,176,164,146,120,93,84,179,192,192,192,192,190,188,189,189,188,186,185,185,183,182,174,177,178,209,206,183,195,171,165,146,116,92,80,171,193,194,193,193,190,189,188,188,187,186,185,185,183,181,174,177,179,210,207,189,196,177,163,144,115,92,78,163,192,194,194,192,191,190,188,188,187,187,186,185,184,182
20,163,166,168,169,171,173,174,174,175,175,175,175,175,174,173,172,171,171,169,168,168,167,165,164,163,162,161,161,164,166,169,170,172,174,175,176,177,177,177,177,176,175,175,174,172,172,169,158,161,167,167,165,165,164,163,163,165,167,170,172,173,175,176,177,178,178,179,178,177,176,177,176,174,174,170,134,137,166,168,167,166,166,165,164,166,168,170,172,174,176,177,178,179,180,180,178,178,178,178,177,175,177,169,122,117,146,159,168,168,167,166,165,167,169,171,173,175,177,178,179,181,181,180,179,179,179,179,178,177,180,163,114,98,117,134,166,169,168,166,166,168,171,173,175,176,178,180,181,182,183,182,181,181,180,180,180,180,184,160,110,108,121,124,164,170,169,168,167,170,172,174,176,177,179,181,182,184,184,184,183,182,182,181,181,182,185,155,114,131,131,122,164,172,171,169,169,171,173,175,178,179,181,182,184,185,186,185,185,184,184,183,182,183,183,148,118,148,137,126,165,173,172,171,170,172,174,177,179,180,182,184,185,186,187,187,187,186,184,181,181,186,180,141,126,157,136,130,168,175,174,172,171,173,175,178,180,181,183,184,186,187,188,188,188,187,179,158,159,185,177,137,139,162,131,132,172,176,175,174,173,174,176,178,181,182,184,186,187,188,189,188,188,187,180,151,131,158,160,128,148,166,128,137,175,178,177,175,174,175,177,180,182,184,186,188,189,189,190,190,193,192,187,174,147,129,116,103,140,156,123,144,178,180,178,177,176,176,178,182,184,185,187,188,190,191,191,192,196,191,190,192,173,133,94,81,116,131,116,151,180,181,179,178,178,178,180,183,185,187,188,190,192,193,192,195,183,161,173,179,174,140,99,83,96,104,108,157,181,181,179,179,178,179,181,183,186,188,189,191,193,193,194,198,176,141,151,155,167,154,115,88,83,88,104,163,183,182,180,180,179,179,181,184,186,188,190,192,193,193,195,200,178,144,126,116,147,166,131,96,81,81,107,168,184,183,182,181,180,180,182,184,186,188,191,193,194,195,196,192,163,135,111,92,128,173,146,110,87,81,114,175,185,184,183,182,181,181,183,185,187,189,191,194,195,196,200,189,160,139,120,115,158,182,155,126,97,85,123,180,186,186,184,182,181,181,183,186,188,190,192,194,196,197,204,190,164,141,133,163,193,179,152,132,103,91,131,183,187,186,185,183,182,182,184,186,188,191,193,195,196,201,210,193,162,141,158,199,192,165,140,126,104,98,143,185,188,187,186,184,182,182,184,187,189,192,194,196,198,206,215,189,157,149,181,209,185,156,129,113,102,106,158,188,189,188,187,185,183,182,185,187,190,192,194,196,198,207,211,180,163,156,193,206,180,151,125,104,99,116,171,190,190,188,187,186,184,181,183,186,189,192,194,195,197,206,206,189,173,161,198,197,169,142,120,102,99,130,180,190,189,188,187,185,184,180,183,186,189,191,193,195,196,202,207,200,174,168,196,182,154,130,112,101,104,148,187,190,189,188,187,185,184,181,183,187,189,192,193,195,196,200,204,195,170,162,180,167,141,120,105,98,113,167,191,191,189,188,187,185,184,181,184,187,189,192,194,195,196,198,196,181,164,156,165,160,139,119,103,97,129,181,192,192,190,188,187,186,185,180,184,187,189,192,194,196,196,197,190,177,168,164,164,163,147,118,100,98,146,188,192,191,189,188,188,187,185,180,183,186,189,192,194,196,197,197,195,188,184,177,167,162,147,115,97,102,159,191,191,190,189,188,187,186,185
19,194,195,197,199,199,200,203,203,204,204,205,204,203,203,202,204,205,201,201,200,200,199,198,198,197,195,195,195,195,197,198,201,202,203,205,205,205,205,205,205,204,203,203,184,186,206,202,201,202,202,201,201,198,198,197,196,196,198,201,203,205,205,206,206,207,207,207,206,203,214,209,163,115,190,207,202,203,203,203,202,200,198,196,198,197,199,203,204,205,206,207,207,206,206,208,209,203,225,207,170,108,157,216,202,204,204,203,203,201,199,200,199,199,202,204,205,206,208,209,210,209,208,209,209,207,230,202,173,111,145,217,203,205,204,204,204,202,201,201,201,201,203,205,208,210,210,212,211,212,211,211,210,212,229,190,162,102,138,220,205,207,206,204,202,204,202,203,202,203,205,208,210,211,211,212,212,212,212,213,210,216,229,175,136,97,141,218,199,203,196,210,216,188,204,204,204,203,206,210,210,212,212,213,213,212,213,213,210,215,223,188,165,182,202,208,195,215,196,238,249,146,203,204,205,205,208,210,211,213,216,215,214,213,213,218,221,219,210,211,209,227,231,215,200,214,205,193,173,155,211,205,205,207,210,211,213,215,215,216,214,222,230,236,242,237,218,195,187,187,185,172,153,145,144,142,161,204,209,209,208,210,212,212,216,214,222,225,220,234,243,241,233,215,204,194,185,147,110,132,151,173,186,208,215,210,210,209,207,211,212,215,215,222,244,232,227,225,223,223,220,221,220,219,223,170,111,212,218,220,217,214,211,210,210,209,208,212,213,218,214,231,248,236,232,224,227,233,234,230,223,219,207,161,97,201,217,213,213,214,212,212,210,210,210,214,216,219,217,228,247,234,225,230,238,237,239,229,216,212,191,142,85,160,227,213,217,214,213,212,212,211,210,216,218,219,218,228,242,220,215,222,233,236,222,211,221,227,226,164,89,109,220,218,217,216,215,213,213,212,211,217,219,222,219,236,229,211,213,213,200,200,223,238,229,220,230,165,92,87,199,224,218,217,217,216,216,213,212,217,221,222,222,235,212,213,219,215,201,224,237,221,210,211,203,147,98,75,179,229,218,219,219,217,217,216,216,217,221,224,223,227,228,234,231,236,242,238,224,215,208,195,170,125,93,73,197,226,219,220,220,219,219,217,216,219,222,225,225,223,247,245,232,228,230,228,215,197,192,208,216,169,76,143,232,220,221,220,222,221,220,218,217,220,222,225,227,222,236,247,223,216,207,177,169,210,234,233,233,193,90,176,234,221,223,221,222,221,220,220,219,220,224,226,228,228,220,235,217,209,199,193,219,245,224,199,195,169,93,122,237,223,225,222,224,222,220,219,219,221,224,226,229,231,224,223,238,236,227,234,235,218,198,186,174,139,73,157,238,224,226,225,224,222,221,220,219,221,224,227,229,233,227,220,240,239,215,214,215,201,184,163,127,120,163,222,230,227,227,227,225,223,222,222,220,221,224,226,229,233,228,217,226,226,201,201,192,172,148,112,80,199,242,228,228,227,227,226,225,224,224,223,221,221,223,225,228,231,227,209,219,215,187,177,158,133,110,95,83,181,237,226,227,227,226,225,225,223,223,223,221,222,225,227,229,231,231,204,208,208,179,163,160,144,103,97,84,129,241,226,228,227,226,224,225,224,224,223,221,223,226,227,231,232,230,207,200,198,177,154,137,120,99,96,83,126,241,227,228,228,225,225,226,226,224,222,221,223,227,229,231,233,227,207,207,192,188,163,134,110,103,99,81,136,244,228,230,229,227,227,226,226,225,224,223
4,157,157,158,158,158,159,158,159,158,158,158,159,158,158,158,156,155,152,153,153,152,151,149,148,147,146,145,144,159,160,161,161,161,162,161,161,161,160,160,161,163,160,159,159,159,161,157,155,153,152,152,151,149,148,147,145,164,164,164,164,164,164,164,164,164,164,163,161,159,165,164,154,126,115,155,161,160,159,154,153,153,152,150,149,167,166,165,166,166,165,165,165,165,165,164,148,120,122,163,158,124,78,103,158,120,130,159,155,155,154,152,151,169,168,168,169,169,168,168,168,168,167,172,175,146,112,99,152,144,104,61,119,112,64,118,167,154,156,155,154,170,169,171,171,171,171,170,171,169,163,158,162,171,145,93,93,151,124,63,93,124,70,60,165,158,158,157,156,172,172,172,172,173,173,173,175,164,151,149,101,124,144,78,57,147,123,64,72,126,87,46,159,161,159,158,157,174,174,174,175,175,174,174,174,168,164,154,100,75,121,68,50,125,90,40,94,131,95,60,167,164,162,161,161,175,175,176,175,176,177,176,177,159,114,145,118,68,99,105,49,89,74,26,102,102,54,78,178,163,165,164,162,177,176,178,178,178,177,177,177,174,114,97,146,102,79,135,57,65,95,90,95,57,15,104,181,165,167,166,164,178,178,177,178,179,177,176,180,162,95,66,134,107,125,133,110,114,112,143,109,45,20,146,175,168,169,167,166,179,179,179,179,179,179,178,181,162,134,130,98,44,145,133,121,131,117,129,99,54,46,174,172,171,171,169,167,180,180,180,180,181,181,180,180,175,158,116,75,38,71,106,94,98,94,87,86,75,43,143,182,171,171,170,168,181,181,181,181,182,181,180,178,176,145,100,62,51,48,69,81,81,75,65,99,92,61,64,179,174,172,172,171,182,182,182,182,182,183,181,178,167,125,86,58,55,77,82,115,125,120,99,107,108,98,42,121,187,171,173,172,183,184,184,184,184,184,182,175,168,138,101,67,69,77,104,148,147,163,148,120,151,122,62,59,183,174,174,172,185,185,185,186,185,185,184,173,169,141,103,64,64,87,125,159,160,173,178,156,138,121,59,53,181,176,175,174,186,186,186,185,185,186,185,166,167,153,112,73,72,90,129,168,170,178,167,150,127,91,38,91,191,175,176,175,186,185,186,186,186,187,187,161,166,161,120,89,82,85,139,175,180,179,158,136,115,72,29,148,187,177,177,176,186,186,187,187,187,188,190,161,159,163,131,97,84,91,147,181,180,170,148,125,106,52,53,186,180,179,178,177,187,187,187,188,188,188,191,166,144,152,131,100,85,97,157,178,167,158,137,110,90,35,109,195,178,180,179,178,186,186,187,188,188,187,191,181,141,152,138,104,97,103,163,167,156,146,122,95,67,35,168,189,182,181,179,179,185,186,186,187,187,187,187,190,154,150,144,119,117,99,158,156,153,130,105,83,36,80,196,181,183,181,179,178,186,186,186,187,187,186,186,192,171,145,145,134,117,90,137,146,142,116,84,59,28,160,187,179,180,180,178,178,187,186,187,188,188,188,188,191,180,151,142,126,111,92,116,126,113,86,60,21,99,197,181,183,181,181,180,178,187,187,187,188,188,188,188,191,182,158,145,125,107,94,104,114,90,61,33,39,182,187,185,184,182,181,180,178,187,189,188,188,188,188,189,192,171,160,146,129,115,107,101,108,93,58,19,109,201,183,187,184,181,181,180,180,186,186,188,187,188,187,190,188,155,159,150,142,138,123,109,100,84,49,30,157,193,186,185,185,183,181,181,172
21,135,139,143,147,149,151,154,156,157,158,159,160,161,161,162,159,158,159,158,157,157,156,154,155,153,151,151,150,135,140,144,149,150,154,156,157,158,159,161,162,164,164,162,162,164,161,160,159,158,157,156,156,155,152,152,151,137,141,145,149,151,155,157,157,159,161,163,165,166,163,172,132,131,169,162,162,161,159,158,157,156,155,154,153,139,142,147,150,153,156,158,158,161,164,166,166,167,166,188,112,86,172,163,163,162,161,159,158,158,157,156,154,138,143,149,152,155,158,160,161,163,166,168,167,166,170,184,112,98,173,165,165,164,161,162,163,160,158,158,158,140,145,149,154,156,158,161,164,165,167,168,169,165,177,183,109,102,175,165,166,164,136,108,162,162,161,159,159,143,148,150,155,158,159,163,165,166,167,168,170,168,182,183,110,109,177,166,166,161,121,78,159,165,162,161,160,143,148,152,156,160,163,165,166,167,169,171,173,170,184,178,111,113,178,167,166,157,111,94,170,164,164,163,160,142,146,152,156,159,162,165,167,169,172,172,173,170,188,174,109,107,180,169,165,150,96,118,176,166,166,164,161,143,148,153,158,160,164,166,167,171,173,173,174,171,193,175,108,103,180,170,163,145,89,149,173,167,166,165,164,146,150,155,161,163,165,167,169,172,174,174,176,172,202,176,100,116,183,163,157,124,94,172,171,169,168,167,165,147,152,156,160,163,166,168,170,173,173,174,172,180,199,157,89,131,182,158,156,94,114,179,170,169,169,168,167,147,153,157,159,163,167,169,171,172,181,157,123,149,176,123,74,136,179,167,143,82,153,178,171,170,169,168,168,147,155,158,161,165,167,170,173,172,183,155,104,94,89,85,67,144,174,167,114,95,179,174,173,173,171,171,168,148,154,158,162,166,169,172,173,179,176,170,149,128,83,62,87,129,147,142,85,131,186,174,174,174,172,171,170,150,156,159,163,167,170,174,173,192,198,186,202,165,116,63,78,94,110,104,78,165,182,175,176,175,174,173,173,151,155,160,165,168,172,172,183,177,175,182,197,154,98,72,67,80,88,79,102,186,179,179,178,177,176,175,173,151,156,161,166,169,173,172,192,148,137,169,142,148,109,82,69,65,78,67,134,192,179,180,179,178,177,175,174,152,156,162,166,170,174,173,196,175,142,112,83,156,135,92,74,64,70,68,156,190,181,181,180,180,178,176,177,152,157,163,168,171,173,177,196,161,115,91,68,132,154,110,83,72,69,62,156,191,181,182,181,180,179,177,177,153,158,163,168,172,172,183,198,152,135,132,97,160,172,128,108,79,74,62,154,193,181,181,182,182,181,179,177,153,158,164,169,173,171,191,201,163,156,120,141,219,174,133,123,86,77,70,161,193,184,184,184,182,181,180,180,153,159,164,170,174,172,192,202,184,145,127,203,207,160,126,120,93,80,74,166,193,186,185,184,183,182,181,180,154,160,165,171,175,173,191,216,185,138,148,210,190,156,122,109,97,82,85,179,193,187,187,186,185,183,182,182,152,159,165,169,174,173,191,207,158,154,151,207,186,160,141,99,90,81,97,189,189,187,187,187,185,184,183,182,150,158,164,167,171,172,186,186,155,178,141,204,186,152,140,105,87,80,114,193,186,187,186,186,183,181,181,181,151,158,164,168,171,174,181,177,190,186,147,200,172,138,118,99,90,79,127,195,187,188,186,185,184,182,183,181,151,158,165,169,172,175,178,181,194,171,140,184,157,126,100,89,87,76,143,196,188,189,188,186,185,183,183,181
3,150,153,156,158,160,162,164,165,166,165,166,165,164,164,164,164,161,160,161,158,157,157,155,153,151,150,147,145,152,156,158,160,163,165,167,168,169,169,169,167,167,167,166,164,172,162,142,163,158,158,157,156,153,151,150,148,154,158,161,163,166,168,170,170,171,171,171,171,170,169,169,164,188,165,92,156,164,160,159,158,156,154,152,150,156,160,163,165,168,170,171,172,173,173,172,172,172,171,171,167,187,163,86,138,170,162,161,160,158,156,154,151,159,162,165,168,170,171,174,175,175,174,174,174,174,174,174,168,185,166,91,134,173,163,164,163,160,157,156,154,160,164,166,170,172,174,175,178,178,177,176,176,177,175,174,170,187,192,111,123,174,167,166,164,162,159,157,155,161,165,168,170,174,176,178,180,180,180,179,178,179,178,177,171,191,201,115,107,174,168,167,166,164,161,159,157,163,167,171,174,177,179,180,181,182,182,182,182,181,180,180,176,193,193,108,100,174,169,169,168,165,163,160,158,165,169,173,176,179,181,183,184,184,184,183,183,183,183,182,175,202,200,116,102,176,172,170,170,167,164,162,159,167,172,175,179,181,183,185,186,186,186,186,185,184,183,181,178,174,167,115,98,176,174,173,172,169,166,164,162,170,175,179,181,183,186,187,189,189,189,189,187,186,182,194,199,126,87,76,92,182,174,175,173,170,167,165,163,172,177,181,183,186,188,190,190,191,191,190,192,199,184,138,149,176,125,59,116,193,181,176,174,172,170,167,164,174,179,182,185,188,190,193,193,195,191,196,162,180,185,113,84,202,135,95,97,132,154,179,175,173,171,168,166,175,181,184,188,190,192,194,197,195,201,208,149,101,167,148,96,160,138,114,96,122,100,150,183,173,172,171,167,178,183,186,189,191,194,195,196,199,220,204,182,123,134,162,92,114,154,139,113,128,82,132,188,176,175,171,169,181,185,189,191,193,196,198,196,213,204,196,193,133,106,145,90,110,120,94,114,107,70,126,191,177,176,172,170,181,187,190,194,196,197,200,198,226,211,171,177,136,87,124,87,113,170,81,128,139,76,115,193,179,179,175,173,182,188,191,195,196,199,201,202,210,192,154,164,112,72,122,70,110,207,96,107,153,81,89,190,180,180,176,173,184,189,193,196,198,201,203,202,208,215,191,160,107,95,117,88,84,151,104,110,125,75,83,188,183,181,178,176,185,190,193,196,200,201,204,204,217,221,206,163,111,96,128,113,152,190,151,132,96,60,133,196,183,183,181,179,184,191,194,197,201,202,205,204,214,226,214,169,127,105,112,172,198,171,129,109,90,69,185,190,186,184,182,181,182,189,194,198,201,202,204,205,210,223,208,166,161,115,139,212,183,141,118,104,80,113,200,185,186,183,181,179,183,191,196,198,202,204,206,206,211,215,202,179,167,132,134,176,165,130,113,92,71,171,196,187,187,184,180,178,185,192,196,200,203,206,206,218,119,168,206,181,165,139,110,132,129,110,93,72,141,202,191,189,186,185,187,188,185,191,195,200,201,203,209,199,60,75,171,177,164,119,91,90,95,95,73,137,203,193,197,200,200,191,161,113,189,197,201,204,207,207,222,139,59,61,70,115,124,82,79,76,81,64,59,200,207,203,180,145,129,96,55,38,143,144,148,149,149,150,148,84,66,62,54,50,58,79,78,60,56,34,0,80,123,89,50,29,23,22,29,35,109,110,111,111,110,111,89,67,74,56,55,50,48,34,27,26,22,16,9,21,29,20,23,25,32,31,21,27
18,141,142,144,146,148,151,153,153,155,156,158,160,159,160,160,160,160,160,161,162,163,163,164,164,164,165,164,164,143,144,147,148,151,154,155,155,159,159,161,162,162,162,162,163,162,162,163,164,166,166,167,167,167,167,167,167,144,147,149,151,153,155,157,160,162,162,163,164,164,164,165,166,165,166,167,167,167,167,168,168,169,169,168,168,147,149,151,153,155,157,160,161,163,165,165,166,167,167,167,167,167,167,168,168,168,170,170,168,169,171,171,171,149,150,153,155,157,159,161,163,165,166,167,168,169,169,171,170,169,170,172,175,173,171,175,174,175,173,172,174,150,151,154,157,159,160,162,166,168,168,169,170,171,172,172,172,172,174,158,154,170,175,153,132,150,176,175,176,152,153,157,159,161,163,165,167,168,169,170,172,173,173,173,172,173,176,144,133,159,180,144,94,103,140,185,174,154,155,159,161,162,164,167,170,170,172,173,173,175,176,173,176,175,164,161,160,178,165,164,120,87,91,176,180,156,159,161,163,165,167,169,173,173,174,175,176,176,177,179,155,158,149,161,164,159,138,183,140,94,63,151,191,158,160,162,165,167,169,172,174,175,176,177,177,172,193,189,138,114,127,144,139,102,144,201,149,111,64,136,193,160,161,164,166,168,171,173,175,176,177,175,186,136,144,179,141,116,106,141,101,70,184,198,159,127,70,134,194,160,163,166,167,169,173,174,177,178,174,192,202,131,94,173,161,143,109,181,123,75,195,203,178,144,78,140,197,161,163,167,168,171,175,177,179,177,188,190,196,153,109,149,179,148,104,152,153,104,170,210,189,145,90,103,197,162,165,168,171,173,176,178,178,185,193,152,193,176,132,118,177,149,118,77,131,186,194,187,165,137,108,72,171,163,166,169,171,173,177,180,177,195,200,153,183,185,145,103,153,159,120,141,185,190,193,164,150,136,120,72,151,165,167,171,173,176,179,180,185,195,175,138,153,165,131,86,120,134,150,204,191,176,172,153,140,135,111,79,174,166,169,173,174,177,180,180,185,203,179,138,135,123,96,70,64,130,206,199,186,169,157,148,124,119,84,108,199,168,172,174,176,179,181,183,183,202,183,159,137,87,81,53,71,199,200,189,178,167,157,129,109,96,69,161,199,171,173,175,177,180,183,184,185,203,190,175,144,106,136,97,163,210,197,190,174,163,147,113,96,80,93,197,193,170,173,177,178,180,184,183,190,203,201,168,137,166,155,146,213,200,198,183,165,154,128,101,90,71,129,204,194,172,174,178,180,181,185,184,196,202,204,159,155,176,140,183,218,206,191,174,161,143,111,89,86,75,178,201,195,173,177,178,181,184,186,184,195,207,200,162,164,173,132,207,209,208,183,162,146,124,96,86,70,123,203,195,197,174,177,179,182,185,187,188,186,197,202,169,176,163,142,216,209,195,172,155,133,105,87,81,79,188,201,197,198,176,178,180,183,185,188,191,187,188,193,177,183,161,172,198,198,178,156,143,121,97,90,66,130,209,196,199,199,176,179,182,185,185,188,192,190,182,190,180,189,174,170,177,181,167,151,132,112,96,81,83,192,201,200,199,199,177,181,184,185,187,189,191,192,180,195,189,181,169,151,166,178,169,143,121,105,92,68,148,208,199,201,201,201,177,181,183,186,188,190,192,194,179,185,167,158,153,143,166,171,164,137,108,97,76,93,199,200,202,202,203,203,178,181,183,186,189,191,193,195,186,175,152,158,156,171,175,172,157,132,107,94,68,139,209,201,203,203,203,204
18,151,153,155,155,157,158,160,161,161,162,163,165,165,165,166,168,168,168,169,170,170,170,171,170,169,169,170,169,152,153,156,157,158,159,161,161,162,163,164,165,166,166,167,169,170,169,168,170,171,171,172,172,171,171,170,170,153,155,156,158,160,160,161,162,163,164,165,165,165,166,167,171,173,169,169,170,169,170,173,172,173,171,170,170,153,154,158,159,160,161,161,163,164,164,165,165,167,167,169,159,155,174,169,172,172,171,173,173,172,173,172,172,154,155,159,158,159,161,162,162,164,166,167,168,171,168,178,157,117,146,175,171,172,174,172,171,172,173,173,173,154,155,159,159,159,160,163,163,164,166,168,162,149,167,172,167,120,84,155,174,156,147,168,174,173,174,172,173,154,155,158,159,160,161,164,166,165,168,180,163,129,132,176,153,133,96,107,141,135,120,123,180,173,174,173,173,154,155,158,159,160,161,163,162,157,180,181,163,136,116,189,168,156,127,97,101,122,118,88,163,177,174,174,173,155,156,159,160,160,160,174,165,127,162,183,158,133,132,188,187,172,135,101,89,109,110,81,139,183,174,175,174,156,157,159,161,158,172,191,166,124,150,184,158,124,147,179,182,169,135,97,79,93,102,77,140,183,173,175,175,157,158,159,161,159,178,193,166,125,140,184,161,116,158,179,180,166,132,96,71,83,91,77,155,181,174,176,176,157,159,160,160,162,171,184,169,128,130,184,159,105,130,167,187,163,127,93,71,76,79,89,170,179,174,176,175,157,159,161,158,167,181,168,166,136,116,167,148,104,73,142,192,156,123,88,74,71,71,110,183,175,177,177,178,157,159,161,162,173,166,149,142,130,89,123,123,94,39,156,195,154,117,85,74,76,74,123,185,173,177,177,179,158,159,158,171,183,154,143,119,104,79,100,112,68,80,194,181,151,119,88,69,76,74,135,186,176,178,178,178,158,161,159,172,190,165,146,125,121,80,100,113,127,181,194,174,146,119,91,78,80,82,166,181,178,179,179,179,159,162,156,182,188,162,146,129,122,106,111,156,204,182,170,166,141,111,88,81,71,102,185,176,178,178,178,178,160,159,160,194,181,162,146,132,130,131,148,204,199,176,154,153,132,101,85,83,79,154,182,177,177,177,177,176,161,158,168,198,176,162,155,139,137,133,187,206,192,169,142,142,124,92,87,79,140,184,176,178,178,178,177,176,161,157,175,197,176,169,162,140,142,169,204,198,182,163,136,130,115,89,78,117,185,177,178,179,179,178,178,178,161,158,177,198,178,174,166,142,159,193,194,190,176,150,129,121,106,83,88,173,180,178,178,178,179,179,179,179,161,160,172,195,181,176,165,149,170,192,185,174,172,141,124,113,97,74,137,185,177,179,179,179,179,179,179,179,162,160,170,195,183,175,163,160,169,188,174,168,153,138,114,106,87,93,179,178,179,179,179,180,181,179,178,179,162,158,174,192,177,169,161,164,168,180,163,165,140,132,106,99,74,130,188,177,179,180,180,181,181,180,178,178,162,158,179,179,166,163,158,163,171,170,154,164,149,119,102,92,78,164,181,178,179,180,180,181,181,181,179,178,162,159,181,164,158,161,159,161,171,164,154,163,148,114,98,79,112,187,176,180,180,179,179,180,181,180,179,179,161,159,188,175,166,167,169,168,175,158,150,154,134,108,90,86,169,181,179,181,180,180,180,181,181,180,179,180,159,162,196,183,168,171,176,172,177,145,143,143,121,102,79,143,186,178,180,180,181,181,181,181,181,181,180,180
22,88,91,97,113,127,137,141,145,152,158,162,167,170,172,175,176,178,178,178,178,177,177,176,175,173,172,171,170,88,92,98,115,128,138,142,146,154,160,165,168,172,174,177,178,180,173,174,180,179,179,178,177,176,175,172,172,89,92,100,117,130,140,144,149,156,167,174,143,173,176,179,180,191,157,129,182,181,180,180,164,173,178,175,173,90,93,102,119,132,142,146,152,158,183,186,116,170,179,181,182,201,155,114,184,184,185,183,130,141,180,178,175,90,93,102,120,133,143,148,154,160,183,194,121,162,181,182,185,196,148,122,186,186,195,180,120,146,181,180,178,90,94,104,122,135,144,149,155,162,177,199,132,149,183,185,189,188,142,137,188,188,197,166,110,170,183,181,179,90,93,105,122,135,146,151,157,163,175,209,156,135,185,187,187,173,128,146,190,199,198,152,120,185,184,183,181,91,94,106,123,136,147,152,158,165,173,209,162,124,182,188,189,173,118,156,192,205,185,134,151,187,186,185,183,91,95,107,124,138,149,153,159,166,173,206,167,119,171,190,188,174,115,170,202,202,158,114,177,189,188,187,185,90,94,108,126,139,150,154,160,168,175,199,190,139,152,191,176,163,105,190,216,195,143,122,190,190,189,188,186,91,94,108,126,140,152,157,161,169,176,188,199,140,124,182,155,152,126,203,206,179,119,157,193,193,190,189,188,91,95,109,127,142,153,157,163,171,179,184,196,133,96,145,159,179,197,207,188,147,109,187,195,193,192,190,188,91,95,110,128,143,153,157,164,173,179,182,192,146,123,159,168,180,196,194,170,117,145,198,196,195,194,192,190,91,96,111,130,144,154,158,165,174,189,178,148,147,129,154,159,182,181,185,148,102,183,200,198,196,195,194,192,91,96,111,130,145,155,159,167,174,205,175,167,151,154,130,111,152,164,155,115,100,194,201,200,198,197,195,194,89,95,112,130,146,156,159,168,176,211,190,178,169,163,127,98,92,125,124,104,105,201,202,201,200,199,197,195,90,95,113,132,147,157,161,168,180,218,196,155,137,144,148,134,105,83,81,88,102,203,203,202,202,201,198,196,91,96,114,132,148,157,161,171,181,223,205,142,94,97,151,154,134,106,90,74,84,198,206,203,202,200,199,198,89,95,114,132,148,157,161,170,179,219,215,160,146,91,190,175,148,124,104,67,71,194,206,204,202,201,201,199,87,92,113,132,147,157,161,169,177,217,222,174,154,126,208,193,162,130,107,66,80,201,206,203,201,201,201,201,86,92,112,132,148,157,161,170,177,212,221,182,160,181,205,179,160,122,98,65,103,208,206,204,202,202,202,200,84,90,111,132,149,158,162,170,179,203,220,198,167,203,200,165,163,137,93,63,126,207,207,206,204,202,202,200,82,88,109,130,147,156,161,169,179,191,214,199,168,198,193,166,153,136,88,58,159,208,207,206,203,201,201,200,107,111,120,130,141,148,153,159,166,166,198,197,168,162,173,150,131,111,72,65,173,188,187,186,185,184,184,183,113,113,111,107,111,114,114,115,115,92,118,183,148,126,134,123,102,82,65,76,108,109,107,107,107,105,105,102,115,115,115,115,116,115,115,117,112,74,52,106,119,121,128,133,110,81,57,79,109,107,106,106,103,101,84,61,116,116,116,116,116,116,117,117,94,57,55,50,83,118,125,127,100,59,25,59,109,108,107,105,87,62,43,34,116,116,116,116,116,116,118,114,69,61,57,53,49,67,88,78,45,21,14,74,110,107,107,88,54,45,34,24
5,124,128,132,136,138,141,143,145,147,150,151,152,153,156,157,159,160,161,164,164,165,166,167,167,167,168,169,168,125,130,133,137,140,143,144,146,148,151,152,153,154,157,159,160,161,163,165,165,166,167,167,167,168,169,169,169,126,130,134,138,141,144,145,148,149,152,154,154,135,155,160,161,163,165,166,166,158,165,168,169,169,169,169,169,127,131,135,138,142,145,146,148,151,153,155,162,114,144,161,162,165,166,166,170,132,148,169,169,169,170,170,170,128,133,136,139,143,147,157,130,145,155,157,168,115,140,163,163,165,166,169,168,116,143,171,170,171,172,172,171,129,133,137,141,145,146,170,136,125,156,160,174,124,141,165,164,166,168,172,142,109,161,172,173,174,174,173,172,131,134,138,143,146,146,162,157,116,155,163,173,128,140,166,165,167,174,165,113,130,173,173,175,175,174,174,173,132,136,140,144,148,149,159,181,132,146,166,161,116,138,167,167,168,169,140,114,164,175,174,176,176,175,175,175,132,137,141,144,149,150,156,193,152,133,166,152,120,136,168,163,160,138,107,142,176,175,175,176,177,177,176,176,134,138,142,146,150,151,153,187,175,129,160,147,130,132,165,157,148,103,122,172,177,176,177,178,179,179,178,178,134,139,143,147,151,152,153,171,193,163,144,135,131,120,145,149,136,106,162,176,176,177,177,179,179,179,179,179,135,139,144,147,150,152,154,160,192,191,154,119,119,104,116,135,118,128,176,178,179,179,179,179,180,180,180,179,135,140,144,148,150,152,154,157,176,202,177,134,105,98,102,107,105,157,178,178,178,177,179,180,181,181,181,180,135,140,144,148,151,152,155,158,163,198,186,144,106,91,93,93,105,169,173,170,166,166,171,173,171,171,174,171,136,141,146,150,152,153,156,159,160,194,189,146,105,87,86,89,103,139,157,159,151,162,175,172,167,167,158,131,137,142,146,149,153,155,158,160,163,202,188,148,110,85,82,88,104,118,135,136,119,124,139,136,139,152,140,109,138,142,146,150,153,155,158,159,171,210,180,143,109,87,82,88,100,105,105,110,121,150,157,156,157,157,133,124,137,142,147,151,153,155,158,158,187,209,172,138,106,86,83,87,89,98,128,155,175,184,180,167,161,134,130,170,137,142,147,151,154,156,159,161,201,201,165,133,101,85,85,88,84,131,175,184,182,173,159,157,145,116,173,185,137,142,147,151,154,156,159,172,212,196,159,122,99,83,84,94,106,128,139,158,159,157,161,153,122,134,186,183,138,143,148,152,154,156,158,188,211,187,150,121,102,83,87,103,121,133,131,130,149,156,151,132,131,171,186,185,138,143,149,152,154,156,161,203,206,177,143,127,106,82,97,124,139,145,137,131,144,134,131,156,181,187,187,186,139,144,149,152,154,155,174,211,202,173,143,129,107,84,106,138,143,145,138,119,115,135,172,187,187,187,186,185,140,144,149,152,154,157,196,209,194,169,143,126,106,86,114,143,137,141,126,108,142,180,186,186,186,186,186,185,140,144,149,153,153,173,208,200,187,163,130,115,98,88,121,137,131,129,122,159,184,186,187,186,187,187,187,186,140,144,149,153,156,194,202,189,177,152,117,107,92,95,118,122,125,124,164,185,186,186,187,186,187,187,187,186,140,145,149,152,175,198,190,181,175,149,107,99,94,98,104,113,132,165,185,185,186,187,187,187,187,187,187,187,140,145,149,155,197,193,184,176,179,143,97,100,102,93,97,136,175,184,186,186,186,186,187,188,188,187,187,187
10,152,156,159,162,164,167,169,171,173,175,175,177,177,177,178,178,179,179,179,179,179,179,179,179,180,179,179,179,155,158,161,164,167,170,171,174,176,178,178,180,180,180,181,181,182,181,182,182,181,181,181,181,182,181,180,180,158,161,164,166,169,172,174,177,179,180,181,182,182,183,184,184,184,186,185,184,184,184,183,183,184,184,184,182,159,163,166,169,172,175,177,180,182,183,184,185,185,185,186,186,187,179,181,188,187,187,186,187,186,186,186,186,161,165,169,171,174,176,179,182,185,186,187,187,188,188,189,185,196,177,144,193,188,188,188,189,189,189,189,188,164,167,170,173,176,179,182,184,187,188,188,189,190,191,190,189,195,199,143,168,195,190,191,192,192,191,191,190,165,169,172,175,178,180,184,186,188,189,190,191,191,193,193,195,193,205,174,144,196,193,193,193,194,193,192,193,166,170,174,177,180,183,185,188,190,191,192,193,193,193,193,187,191,208,208,151,178,199,193,195,195,195,194,194,169,172,176,179,181,185,188,190,191,192,193,194,195,194,203,165,138,206,222,174,148,203,196,198,198,197,197,196,170,173,177,180,183,187,189,191,192,194,195,196,197,195,206,192,131,155,225,195,135,190,201,199,199,199,199,199,171,175,178,182,185,187,190,192,194,195,197,198,199,198,201,224,194,152,179,208,140,171,206,199,200,201,201,200,172,176,179,183,186,188,192,193,194,196,199,200,198,206,198,195,228,172,117,189,155,150,210,199,203,203,203,202,173,176,181,184,187,190,192,194,196,198,198,200,202,210,190,133,180,188,129,124,138,132,212,202,204,204,204,203,173,177,181,184,188,191,193,196,198,199,200,200,221,206,171,108,101,187,159,104,100,106,193,208,205,204,204,205,174,178,182,185,189,192,194,197,199,200,201,199,223,199,131,79,69,153,172,134,96,92,155,215,205,206,205,205,176,179,182,186,189,193,195,198,200,199,208,210,194,219,191,116,66,145,180,168,124,95,132,214,206,207,206,205,176,180,183,187,190,193,197,199,201,200,213,226,205,190,223,173,105,178,198,184,138,94,119,212,209,209,208,207,177,181,184,187,190,194,197,199,200,202,200,204,225,179,180,217,154,183,202,177,144,96,114,213,210,210,210,209,176,180,183,186,189,193,196,198,199,201,202,180,193,171,135,186,148,188,210,174,140,104,112,211,211,211,210,209,177,181,184,187,190,192,195,199,200,199,209,211,182,171,142,148,219,224,207,176,131,103,117,211,210,210,208,209,177,180,183,187,191,193,195,198,200,199,208,224,199,170,162,195,235,219,201,164,125,105,122,214,210,210,208,209,177,180,183,187,191,193,195,198,200,202,201,220,207,197,187,207,228,207,187,153,121,115,116,211,211,210,209,209,177,181,185,188,190,193,196,198,199,201,202,212,212,208,203,197,225,196,178,153,140,132,116,208,211,210,210,211,174,178,183,188,193,196,199,202,204,205,208,211,216,215,212,183,208,192,184,164,159,135,124,214,212,212,212,212,121,124,128,133,137,139,143,149,152,155,154,170,218,216,207,186,185,188,194,178,153,121,129,204,203,205,207,209,114,116,116,116,114,112,112,114,115,115,117,116,191,206,192,185,177,182,205,182,145,118,113,125,127,130,133,135,119,120,121,121,121,125,125,124,124,124,126,116,152,202,182,184,184,185,196,178,141,114,120,125,122,123,122,121,117,117,119,119,119,120,121,124,123,121,122,120,129,195,193,185,190,184,182,181,141,113,126,132,130,132,132,134
2,193,194,195,194,195,196,196,196,195,194,195,195,194,194,194,193,192,191,189,188,188,188,186,185,183,182,181,180,194,195,196,197,196,197,198,198,198,197,197,195,195,197,197,196,196,196,196,192,188,189,186,185,184,182,181,180,195,196,197,199,199,199,199,199,199,198,198,198,196,184,185,187,182,177,172,178,193,188,186,186,186,184,183,182,198,198,199,200,200,200,200,200,200,200,200,197,180,169,171,172,169,151,134,124,161,193,193,187,187,186,185,183,199,200,200,200,201,201,201,201,202,201,201,187,176,175,167,162,172,145,124,142,149,151,171,190,189,187,186,185,200,201,202,202,202,203,203,202,203,204,202,194,185,170,153,141,131,103,98,120,130,110,102,178,194,188,187,185,201,202,203,204,204,204,205,205,205,199,190,187,174,139,113,103,113,127,169,164,136,112,138,190,191,190,188,186,201,202,204,205,205,206,206,207,207,195,184,171,140,101,85,94,192,207,203,204,200,193,199,194,191,191,189,187,203,203,205,206,206,208,208,208,206,196,175,133,101,92,86,128,211,199,200,200,198,197,196,195,192,192,190,189,204,206,206,206,207,208,209,209,206,197,168,108,86,85,88,181,208,202,202,201,200,197,196,197,196,193,191,189,205,206,207,207,208,208,210,209,205,195,163,107,88,82,116,212,204,205,203,202,201,200,200,189,184,194,192,189,206,207,208,209,210,210,212,206,202,192,148,96,97,91,124,212,204,206,204,202,201,202,167,136,126,166,197,190,207,208,207,209,212,211,212,206,203,186,139,105,105,91,134,215,205,207,205,203,205,171,137,137,120,152,200,191,207,208,209,210,212,213,212,205,204,186,144,119,104,85,155,219,204,208,205,208,179,137,143,134,119,184,196,192,208,209,211,212,212,213,210,204,203,184,144,121,102,89,123,216,212,205,213,188,128,127,136,115,150,203,194,193,209,211,212,212,213,214,211,204,200,178,149,123,99,98,96,130,186,218,192,144,121,121,120,113,197,199,196,195,209,211,212,213,213,215,210,204,199,178,147,117,99,99,104,102,114,159,129,124,134,118,101,171,205,198,198,195,210,211,213,213,213,215,207,203,209,178,143,122,100,99,103,110,115,109,110,122,119,111,178,208,199,201,198,196,210,212,213,214,214,217,203,210,208,172,140,122,101,99,106,108,116,120,112,117,110,184,211,201,201,201,199,196,210,211,212,215,216,216,202,213,201,165,137,123,103,99,107,109,115,119,113,94,173,214,202,202,202,201,199,196,211,212,213,215,218,213,204,211,193,159,139,126,102,99,110,114,116,117,100,152,213,205,204,203,202,201,199,198,212,213,214,216,218,211,204,207,182,157,142,123,103,100,114,116,118,101,120,217,208,207,205,205,203,201,200,199,213,214,215,217,219,210,202,194,174,153,136,119,101,100,114,112,109,91,187,215,208,208,207,206,203,202,200,199,213,213,215,216,217,210,199,189,171,149,135,117,100,101,112,110,87,159,221,210,210,209,207,206,205,203,200,200,213,214,215,217,216,208,192,182,163,143,129,115,101,102,102,88,150,221,212,212,211,210,207,206,205,204,201,200,213,214,215,216,215,208,188,180,161,141,124,111,100,90,99,168,222,214,213,211,211,210,209,206,204,203,202,200,213,214,216,215,214,204,186,175,162,140,119,104,86,133,211,224,215,215,214,213,211,209,209,207,205,204,202,200,213,214,216,214,207,185,174,173,158,132,109,94,101,213,224,215,217,215,215,214,212,211,210,208,205,204,202,200
12,58,62,67,74,89,103,110,117,122,128,129,132,134,136,140,143,146,148,149,151,152,154,156,156,156,156,157,157,58,63,69,75,91,105,111,118,124,128,129,133,135,139,142,143,146,150,152,151,154,155,156,157,158,158,159,159,59,63,71,76,92,105,113,121,125,128,131,135,138,139,144,150,147,152,145,155,156,158,158,158,159,162,162,162,60,66,72,79,95,106,114,121,126,129,134,136,137,154,119,118,159,163,107,102,162,155,162,163,161,164,163,163,61,66,73,81,98,108,115,121,126,132,137,130,162,176,129,91,137,167,121,73,108,118,101,156,166,163,164,164,62,66,74,82,98,111,117,124,129,134,138,130,188,186,143,107,116,169,136,102,70,116,80,100,170,165,166,166,62,68,76,83,101,112,118,125,130,135,138,139,191,205,163,112,112,175,135,103,63,107,105,64,150,172,166,167,63,70,77,87,104,113,119,127,131,136,132,149,174,187,178,113,101,182,136,96,58,105,98,66,153,172,169,169,65,71,78,88,104,114,122,127,131,127,141,157,161,147,153,102,78,149,124,84,59,109,90,75,166,173,171,171,64,71,78,90,106,113,121,127,130,178,199,129,82,88,131,84,62,115,92,70,64,102,78,94,179,171,172,172,66,72,78,92,108,114,123,121,160,219,167,112,89,59,114,97,58,100,95,71,65,95,72,105,181,171,173,173,66,73,79,93,107,114,125,124,186,159,147,124,104,62,94,130,61,99,132,82,78,131,89,114,185,172,175,175,67,73,81,95,109,116,121,135,187,136,127,139,108,80,39,68,34,62,106,74,84,138,102,60,138,183,174,177,67,74,81,97,110,118,119,145,186,143,111,130,101,88,34,20,53,89,88,87,118,104,77,65,86,181,176,177,69,75,82,98,111,117,119,147,202,156,122,100,88,71,29,44,103,146,151,142,133,106,100,85,98,183,177,178,70,75,84,102,111,120,120,154,202,157,136,98,71,72,57,90,147,169,165,150,129,102,94,75,133,186,177,179,71,76,84,103,113,121,120,158,197,164,141,106,91,115,108,151,177,176,167,141,115,100,80,74,165,182,179,180,72,78,85,104,111,121,123,152,188,158,136,109,110,116,114,173,173,175,164,127,106,96,72,103,185,178,180,180,71,77,87,105,111,121,126,143,183,153,133,116,112,104,125,163,164,171,147,116,99,89,72,150,185,178,181,180,71,77,89,106,113,122,129,137,178,151,138,131,117,118,145,160,165,156,130,109,93,77,92,182,181,181,181,182,73,78,89,107,115,124,130,132,165,157,148,145,130,122,144,153,152,131,109,96,88,70,132,188,180,182,184,184,73,79,91,108,116,123,130,131,154,166,147,137,124,109,116,134,132,114,95,88,79,89,176,181,181,182,185,184,74,79,93,107,114,123,130,134,147,175,141,130,116,102,103,112,107,99,87,87,71,139,187,180,183,184,184,184,74,79,95,109,114,124,130,136,141,179,157,128,106,98,108,104,105,99,86,77,95,181,179,182,184,185,185,185,74,79,96,109,115,125,131,138,140,178,173,135,119,118,122,103,106,100,83,64,135,187,179,184,185,185,186,187,75,81,97,109,116,124,132,134,153,193,185,144,135,127,123,100,95,87,78,55,147,188,181,184,185,186,187,187,74,81,98,110,117,127,128,156,186,172,205,154,144,126,118,99,86,77,75,52,149,188,180,185,185,186,188,188,75,81,99,110,118,127,131,190,201,149,172,154,142,122,113,94,76,76,73,56,159,187,182,185,186,186,187,188
21,85,87,93,100,105,109,112,115,119,122,126,127,129,132,134,134,135,137,137,137,139,139,139,138,139,140,140,140,87,90,96,102,107,111,114,117,121,125,127,129,132,135,137,136,141,140,141,141,141,141,140,141,143,143,142,142,88,91,99,104,109,114,117,120,124,127,129,132,135,137,142,121,103,144,142,143,143,145,149,145,146,146,146,146,90,94,100,106,111,116,119,122,125,128,131,135,138,139,148,130,55,137,147,145,147,134,123,151,148,148,148,148,92,96,103,109,113,118,122,124,127,130,134,137,141,140,150,140,62,116,155,147,150,138,70,129,156,150,150,149,95,97,104,112,116,120,122,126,130,133,136,139,143,143,151,143,70,95,159,147,152,147,77,100,162,151,151,151,95,100,107,113,118,121,125,129,132,136,139,142,145,147,150,145,87,82,157,151,154,145,84,83,162,152,152,153,97,102,108,114,119,123,127,130,133,137,141,144,146,148,149,157,117,75,147,155,155,147,91,75,160,155,155,155,99,103,111,117,122,125,128,132,135,138,141,145,148,150,149,162,128,75,129,161,155,154,111,72,158,159,158,158,99,104,112,118,123,127,129,133,137,140,144,147,148,152,153,168,134,82,108,165,155,155,120,69,151,162,160,161,100,106,114,120,124,127,131,135,138,142,145,148,149,150,144,173,154,106,97,165,159,153,126,69,145,165,161,162,101,107,115,120,125,128,132,136,140,143,146,149,151,147,130,136,172,133,95,159,161,163,143,76,142,167,161,162,102,108,116,121,126,130,134,138,141,145,149,150,162,179,166,129,122,119,89,152,165,163,147,77,140,169,162,162,103,110,118,122,128,132,136,139,142,145,148,152,156,151,162,156,116,73,60,131,163,150,141,75,137,171,163,164,104,109,118,123,129,134,135,139,143,147,150,153,153,133,114,104,127,95,86,83,101,124,127,73,133,176,164,166,106,112,120,125,130,134,138,141,144,148,152,153,160,168,146,93,90,133,135,125,85,69,105,67,125,177,165,167,106,114,121,126,130,134,139,143,145,149,153,157,147,137,154,115,47,87,145,141,102,48,67,56,124,178,167,168,107,115,121,126,131,134,138,142,146,150,153,158,148,76,109,127,63,24,82,130,114,80,46,38,117,179,167,169,107,116,123,128,132,135,139,143,147,151,154,158,146,117,95,114,97,64,6,93,139,108,63,29,92,182,168,171,107,114,122,128,131,136,140,144,146,151,155,158,162,146,89,66,97,81,25,52,141,133,92,46,67,179,170,171,106,114,121,126,130,134,139,143,147,151,154,156,169,140,110,84,55,47,57,89,139,153,111,77,56,164,174,172,108,115,121,127,131,134,139,144,147,151,155,155,171,163,139,85,62,70,94,159,158,139,110,83,53,157,175,171,109,115,122,127,132,136,141,145,148,152,156,156,170,165,124,78,84,94,120,181,160,130,92,69,50,159,175,171,108,115,123,127,132,137,141,145,148,152,154,155,166,163,119,105,99,86,135,183,150,120,86,57,51,162,175,172,108,115,123,127,132,137,140,143,147,151,153,155,162,158,136,112,91,88,143,179,146,114,80,57,54,166,174,173,110,119,125,131,136,141,145,148,153,157,159,160,162,155,140,100,99,98,137,170,143,113,74,53,59,167,173,172,84,87,93,100,103,108,114,120,126,132,136,139,145,152,141,104,123,102,125,157,125,97,68,48,69,179,175,177,57,59,58,58,58,60,61,64,66,67,69,69,76,140,142,116,125,108,113,149,107,79,60,50,61,114,117,122
1,184,188,192,194,197,200,202,203,204,205,206,207,208,207,208,208,208,208,207,207,208,208,208,207,207,205,204,203,187,192,196,197,201,203,205,206,207,208,209,210,210,211,210,210,212,212,212,211,211,212,211,212,211,209,208,208,191,196,199,202,204,207,209,210,211,212,213,213,214,213,218,217,214,217,216,215,216,216,216,216,215,214,212,212,194,198,203,205,209,211,213,213,214,217,216,217,218,222,195,204,221,217,218,218,219,219,219,218,217,217,215,213,198,201,205,210,213,215,217,217,218,219,218,222,210,231,185,152,239,223,219,220,221,221,222,221,219,218,218,217,200,205,210,214,216,219,220,220,220,221,218,240,202,187,200,126,187,202,227,222,225,224,225,223,222,221,220,219,203,209,213,217,218,221,222,223,222,225,222,246,202,179,215,118,168,140,230,226,228,228,229,228,226,226,224,222,208,213,215,219,222,225,226,228,227,228,220,250,213,174,236,142,182,140,204,236,229,229,230,230,229,228,227,225,212,215,218,222,224,227,229,229,229,237,205,198,239,159,234,157,180,164,176,242,231,233,232,231,231,230,229,227,214,219,222,225,228,228,229,233,230,246,201,160,247,153,217,175,195,216,155,238,236,237,236,236,234,232,232,229,216,220,222,227,229,230,232,236,232,251,208,167,243,160,220,199,174,233,154,218,243,237,238,237,237,235,234,233,217,221,224,227,231,233,235,236,234,255,210,176,255,180,209,218,154,238,176,188,251,239,239,239,238,238,236,235,219,225,227,229,233,235,236,240,237,254,208,167,255,160,164,219,136,243,204,165,251,241,242,242,240,241,239,237,221,226,229,231,235,236,238,242,238,255,227,145,223,173,165,206,164,219,196,154,238,246,245,244,242,242,241,239,222,226,230,233,236,238,241,243,241,255,214,144,191,247,195,194,235,197,168,143,215,254,243,245,245,244,243,242,222,227,232,234,237,241,243,243,243,254,221,216,170,208,214,244,235,184,167,145,168,255,244,247,248,246,245,245,224,227,234,237,239,241,243,243,248,251,224,216,166,186,255,253,230,241,190,143,129,249,250,249,250,247,246,246,224,229,233,237,241,243,243,243,251,255,208,185,195,227,223,186,182,255,255,203,120,225,255,249,252,251,250,248,223,228,234,237,240,244,244,244,252,255,213,177,178,168,155,162,215,253,252,212,155,194,255,250,252,251,251,249,225,228,232,236,238,241,243,243,249,255,236,172,187,187,215,255,255,241,228,189,132,176,255,250,252,251,251,252,226,229,233,237,239,241,244,244,246,255,255,183,209,199,251,255,255,250,216,181,109,177,255,250,252,251,251,252,226,229,234,237,240,243,244,245,246,255,255,203,224,203,241,255,255,252,203,166,107,186,255,251,253,253,251,251,226,229,233,235,239,242,244,247,245,255,255,229,242,216,221,255,255,237,193,152,108,218,255,253,254,253,253,251,229,233,239,239,241,245,247,247,246,254,255,255,243,229,202,255,255,227,186,139,110,240,255,255,254,254,254,253,209,215,220,228,232,238,240,242,247,244,255,255,246,224,188,255,255,213,172,129,129,255,255,255,255,254,253,255,125,128,129,135,141,142,146,149,155,150,248,255,232,214,184,221,238,196,156,129,140,219,214,214,236,255,255,251,127,127,126,126,127,128,128,127,130,116,221,254,224,209,181,199,225,192,147,130,124,119,149,209,243,241,253,249,128,132,140,138,137,135,132,133,136,124,218,253,228,202,187,198,222,184,129,122,150,217,255,255,240,208,207,246
4,167,167,168,168,168,168,167,167,166,166,166,165,165,164,165,164,161,162,161,160,158,159,158,157,158,156,155,153,169,169,169,169,170,169,167,167,167,167,166,165,166,164,164,165,164,164,162,161,160,160,159,158,157,157,157,155,170,171,171,171,170,169,169,169,169,167,166,166,165,164,165,165,163,163,164,161,160,160,160,158,157,157,158,157,171,172,171,172,172,171,171,171,170,171,169,168,168,170,167,166,167,165,162,162,161,161,160,159,159,159,159,157,173,173,172,172,173,172,171,169,165,158,164,170,148,141,163,163,150,152,167,163,164,160,160,161,159,160,159,158,174,174,174,174,173,172,174,179,155,140,103,120,144,103,85,141,137,91,110,175,166,166,161,162,161,160,160,158,175,175,174,174,174,170,184,190,162,131,85,65,132,103,55,110,132,89,58,95,113,130,165,162,163,162,160,159,176,176,176,175,172,179,189,165,170,114,72,69,127,89,50,107,124,82,65,37,65,60,103,169,160,162,160,160,177,177,177,177,174,181,189,155,168,116,103,65,133,124,47,98,150,108,66,41,64,56,68,169,161,163,163,160,178,177,178,178,176,180,180,137,158,159,138,69,159,154,49,97,193,128,67,46,102,81,87,171,162,164,164,162,178,177,178,178,174,187,201,172,142,152,108,68,160,133,43,86,180,120,66,72,132,124,80,159,166,164,164,162,179,178,177,179,177,196,189,165,139,111,77,52,87,72,87,159,128,119,128,118,125,118,72,109,176,163,165,163,179,179,182,180,181,192,171,147,119,98,88,76,56,45,102,183,136,128,144,133,128,115,101,76,156,169,164,164,180,179,182,178,185,207,188,165,140,96,73,67,64,68,62,129,138,123,136,128,110,139,134,80,114,176,162,165,180,180,182,180,189,207,188,172,135,91,79,70,62,64,69,90,98,109,126,78,111,161,147,106,74,171,166,165,183,183,184,181,195,206,190,173,128,89,88,73,65,70,86,98,106,130,144,127,123,159,155,113,58,145,173,166,183,184,184,181,197,204,191,154,124,100,87,76,61,93,129,154,163,166,156,164,136,118,130,103,57,109,178,164,183,184,184,182,195,205,187,154,135,94,82,92,122,161,172,172,162,161,145,133,139,100,97,90,66,83,177,164,184,185,184,184,199,202,183,157,140,114,112,138,161,175,169,168,158,149,138,123,123,101,87,87,71,68,175,166,185,184,186,182,186,201,187,164,154,126,126,154,153,180,166,161,152,146,134,119,108,96,82,82,49,96,178,166,186,187,190,104,78,103,148,176,150,127,118,149,148,160,157,151,152,137,114,105,99,81,70,49,71,170,171,169,186,196,161,59,64,54,59,74,74,71,80,116,135,146,149,146,138,119,100,96,82,68,44,57,163,176,172,172,188,195,102,60,61,61,60,28,14,35,33,38,59,85,110,138,128,112,96,80,65,40,55,160,178,171,173,172,200,151,58,65,57,57,59,49,5,27,33,31,28,24,29,54,79,86,73,56,33,65,164,181,173,175,174,173,193,89,58,57,50,50,56,54,4,14,28,31,28,26,23,19,21,34,34,26,90,175,181,175,177,175,175,174,136,58,65,50,46,50,55,46,1,12,25,27,23,21,25,24,23,22,0,74,198,177,177,178,176,176,176,174,74,61,42,72,70,30,62,27,0,15,24,23,19,21,21,20,23,16,5,10,149,189,178,179,178,177,176,175,59,52,40,65,92,44,48,7,3,17,19,19,16,18,19,20,21,10,10,0,94,197,177,181,178,177,177,177
11,148,152,153,156,158,160,162,163,164,165,164,164,164,164,164,165,164,163,163,161,161,159,159,158,155,153,153,151,150,152,156,158,159,162,164,165,165,165,166,166,165,167,167,165,164,164,164,163,162,160,159,158,158,156,155,155,152,155,157,159,161,164,165,167,168,167,168,167,172,148,159,169,165,165,164,164,162,163,162,160,159,157,158,137,155,157,159,162,164,166,167,169,170,170,171,165,191,141,128,176,166,168,167,165,164,165,163,161,160,160,159,85,157,161,162,164,167,169,170,171,172,172,173,166,199,149,115,178,168,170,170,168,167,166,164,163,161,167,129,61,159,163,164,167,170,171,171,173,174,175,175,169,207,140,113,180,171,172,170,170,169,169,166,164,163,169,100,64,161,164,166,170,172,174,175,176,177,180,173,180,226,130,124,183,173,174,173,172,170,169,169,167,168,164,86,70,164,168,171,172,174,176,177,176,179,171,186,176,204,127,138,187,175,177,176,174,174,172,171,171,170,170,108,80,165,169,172,174,176,179,174,198,188,119,170,149,107,147,114,167,183,178,178,177,176,174,174,173,170,177,129,80,168,170,173,175,179,176,197,219,197,157,105,131,97,117,101,142,190,179,179,179,178,175,176,176,174,178,151,78,169,173,176,179,178,191,230,181,185,185,117,107,103,127,109,147,190,181,182,181,180,180,179,177,177,176,175,98,171,175,178,178,184,223,205,144,141,181,116,99,97,128,110,151,192,183,184,183,183,183,180,179,179,176,179,138,173,176,179,176,209,223,172,137,155,166,89,104,97,121,106,161,194,187,186,186,185,184,182,182,180,178,180,159,174,177,181,178,221,213,158,115,135,140,84,106,93,117,98,178,193,188,188,187,187,185,183,182,182,180,182,151,176,179,183,178,224,217,175,131,93,95,107,90,100,114,108,194,190,190,188,187,189,188,187,187,184,182,183,172,177,180,183,183,232,215,167,121,88,74,118,82,124,119,86,181,199,191,194,194,187,180,175,174,184,188,183,181,178,181,183,190,239,213,166,127,97,80,91,78,124,111,70,107,188,190,177,156,145,138,135,124,116,160,188,181,180,184,183,196,238,208,169,137,106,90,93,93,110,111,109,107,115,128,131,144,151,135,114,111,94,131,193,182,181,185,185,196,234,205,169,139,112,94,97,131,153,153,143,133,118,124,140,135,117,105,130,170,179,182,187,185,183,187,187,198,233,208,176,145,118,98,107,150,151,141,136,132,119,110,105,114,148,171,196,197,194,190,187,186,184,188,188,203,231,211,184,148,128,108,120,146,145,137,124,120,99,93,141,193,202,199,195,193,192,191,188,187,185,191,185,216,234,212,183,146,129,113,120,132,135,127,112,95,117,178,206,200,196,196,196,194,194,192,190,188,187,188,191,233,225,199,167,136,120,113,121,120,125,119,92,141,204,205,200,201,199,198,197,195,195,194,191,190,188,188,224,233,213,189,156,130,116,116,120,112,106,98,152,212,203,201,201,202,201,199,198,197,196,195,193,191,184,199,237,223,201,181,153,134,121,115,114,97,125,185,212,204,203,203,202,201,201,200,199,198,196,195,194,192,183,211,235,218,179,153,145,132,118,110,91,118,205,212,206,206,205,204,203,203,202,200,200,199,198,196,195,193,187,222,233,210,160,133,128,122,109,97,101,193,211,206,208,207,206,205,204,203,203,201,201,199,199,197,195,194,200,230,229,199,140,127,122,114,101,89,166,217,210,211,209,209,207,206,205,204,203,203,202,201,199,198,197,195
11,195,194,194,194,193,192,193,193,189,193,189,187,187,187,185,184,182,181,179,178,176,174,173,173,170,169,167,169,198,197,197,198,197,197,197,196,199,168,189,192,190,189,189,187,186,184,182,181,180,177,176,174,173,171,175,156,202,202,201,201,201,201,201,200,210,153,150,204,194,194,192,190,188,187,186,184,182,181,179,175,176,175,121,64,206,206,206,205,205,206,205,204,201,183,119,187,203,197,195,194,192,190,188,186,185,184,181,179,175,103,45,46,209,209,209,209,210,209,208,208,205,197,131,151,211,200,200,198,196,194,192,191,190,187,184,189,127,63,56,57,214,213,213,212,213,212,212,211,209,197,142,128,213,203,203,201,200,197,196,194,193,190,190,181,82,77,70,55,215,216,216,216,216,215,215,215,213,202,176,117,200,212,206,204,203,202,200,198,196,193,197,171,71,77,69,65,218,219,219,218,218,217,219,218,216,218,191,113,180,218,209,208,207,204,203,202,200,195,200,165,72,68,53,58,222,223,222,221,220,221,221,221,217,220,200,116,162,224,210,211,210,207,205,204,202,198,205,150,62,69,49,63,224,224,224,223,224,223,222,224,221,204,197,134,139,225,213,212,211,210,209,207,205,200,211,137,54,65,48,55,225,225,225,225,225,226,225,225,227,204,197,177,119,201,225,220,213,213,211,209,208,204,212,125,53,62,45,51,228,228,228,228,228,229,228,227,230,219,204,211,137,177,158,189,223,214,214,212,211,208,206,93,54,44,45,63,230,230,230,230,230,230,229,228,229,225,203,211,221,212,118,119,228,216,217,216,213,211,209,110,99,109,96,71,231,231,231,232,231,231,231,229,231,233,210,217,192,160,132,99,213,222,218,217,214,211,202,186,181,173,156,105,233,232,232,233,233,233,234,233,223,191,214,229,172,92,118,101,183,230,218,218,215,205,203,198,178,135,109,92,234,235,236,235,235,237,233,223,217,141,127,197,167,99,102,105,146,233,217,221,206,210,211,188,135,123,104,71,237,236,236,237,238,236,224,228,209,154,113,130,171,121,95,106,108,226,231,216,190,202,198,134,111,172,166,64,237,238,239,239,236,224,232,211,167,169,144,107,148,142,89,106,102,166,206,176,185,192,146,131,179,186,176,117,240,239,240,241,229,224,208,163,113,147,149,112,117,146,93,99,114,92,119,160,181,156,128,219,169,141,158,156,241,242,242,242,226,222,205,171,106,112,164,85,80,150,108,90,147,124,121,157,160,115,195,225,204,79,138,158,243,244,243,244,221,223,208,166,118,105,135,59,66,157,107,83,167,138,118,146,112,144,231,214,225,169,156,169,244,244,243,245,231,216,206,188,172,123,84,71,70,154,135,101,116,132,132,121,102,214,226,220,217,221,188,154,245,244,245,246,243,218,213,203,182,150,108,94,113,161,157,117,131,176,138,91,178,236,222,222,218,221,193,149,246,246,247,247,248,228,211,202,195,166,134,106,123,185,167,127,158,147,113,100,223,229,225,223,220,222,197,128,246,247,247,247,250,236,216,204,190,168,138,120,113,165,192,173,154,132,90,139,241,226,226,224,222,223,200,118,246,246,247,246,246,243,211,202,180,167,146,129,118,143,169,161,147,115,84,207,236,226,225,224,221,225,192,157,247,247,247,247,245,250,221,193,185,170,155,140,124,123,143,136,126,81,160,239,226,226,224,223,226,215,171,169,248,248,248,249,246,248,242,194,184,173,163,146,122,108,121,113,87,132,238,229,229,226,224,222,178,164,162,169
0,208,208,210,209,210,211,212,212,212,213,211,212,212,211,212,211,212,215,212,212,212,212,212,212,211,211,211,211,209,210,211,211,210,211,212,212,213,214,213,212,213,214,214,218,201,186,211,216,211,217,214,214,214,212,213,213,211,212,212,212,212,212,212,213,214,215,214,215,208,189,204,231,190,164,159,183,175,184,216,198,190,216,213,216,211,212,212,212,214,214,213,213,214,215,218,234,210,179,163,214,195,187,146,126,167,154,171,189,147,220,213,215,212,212,213,214,215,215,215,214,216,198,216,242,207,194,163,216,207,192,156,137,182,165,143,184,145,215,217,216,213,212,214,215,215,216,212,223,233,182,168,232,217,202,163,212,225,197,160,147,194,164,129,171,141,204,221,216,213,213,214,216,216,217,213,236,231,197,171,210,235,202,162,201,233,201,156,150,199,159,117,162,141,162,228,214,213,214,215,216,218,214,228,223,226,209,183,179,240,200,157,184,238,196,150,131,181,152,109,154,158,118,212,220,214,215,216,218,215,221,229,201,231,217,187,156,231,202,157,156,227,183,140,112,157,142,105,156,167,112,189,227,216,216,217,217,215,229,215,181,219,220,188,145,212,199,154,131,199,173,139,111,141,131,105,169,174,121,188,227,216,216,217,217,217,230,216,191,202,207,177,133,182,189,150,113,175,168,140,109,143,128,126,193,185,127,190,229,214,215,216,215,224,222,203,175,174,195,168,128,159,184,146,99,156,170,131,107,159,127,163,208,185,128,194,228,214,214,215,213,225,235,212,182,148,187,166,119,150,183,147,95,155,179,131,168,193,151,166,207,186,130,203,226,213,215,217,215,223,238,216,189,145,146,170,130,142,192,156,101,149,186,184,206,196,177,149,181,183,130,208,225,215,216,217,215,226,239,222,199,171,134,154,150,139,197,172,162,199,206,204,194,184,168,155,141,152,121,207,226,216,217,218,215,226,240,228,206,185,171,162,166,183,193,206,221,220,214,201,192,176,156,149,134,127,116,204,227,216,217,218,215,226,238,231,213,198,190,181,172,184,203,214,219,220,217,203,188,173,152,140,132,122,119,216,225,214,217,218,216,223,234,232,221,210,201,188,181,180,197,210,216,214,212,200,182,170,151,136,129,115,173,229,223,215,217,219,216,216,233,232,232,220,207,191,184,183,197,212,219,212,205,195,180,166,147,133,115,162,227,222,223,207,208,212,213,207,228,233,236,221,207,194,184,184,199,217,217,208,200,192,177,159,141,120,138,226,225,225,225,144,145,148,153,144,212,233,230,218,209,197,185,180,200,213,207,195,188,180,167,150,136,116,181,217,213,218,217,130,132,132,134,117,185,233,216,212,211,202,189,178,197,208,198,183,170,160,151,140,129,128,140,144,142,140,151,136,137,137,139,125,173,229,206,211,213,203,190,178,192,206,193,173,150,140,135,127,131,137,130,127,140,179,213,136,134,134,137,127,165,228,201,212,212,200,191,180,188,201,187,158,133,128,123,135,137,136,149,188,228,236,225,136,134,134,138,129,161,237,211,213,209,195,189,181,178,187,178,144,126,122,128,135,148,202,234,246,235,225,214,133,133,135,136,128,156,239,220,218,207,194,190,186,171,180,171,136,124,121,128,167,230,249,245,240,234,238,231,136,134,135,137,129,154,230,223,221,205,194,192,187,165,175,168,132,117,116,183,236,239,242,242,228,228,237,241,137,135,135,137,129,154,222,222,219,200,191,191,189,163,169,163,131,104,160,241,225,240,236,229,225,229,235,240
3,48,0,8,38,57,67,77,88,95,100,106,110,113,115,117,120,122,124,127,128,114,132,134,137,140,140,140,141,39,0,15,41,59,68,78,89,96,101,106,110,113,116,117,122,124,126,129,142,78,110,141,138,139,140,141,144,27,0,20,43,61,70,80,91,98,103,108,111,114,116,120,122,126,126,133,154,80,92,145,138,139,141,143,144,16,0,25,45,62,72,82,93,98,104,110,114,115,118,121,123,127,126,138,150,72,96,145,137,140,141,143,145,6,0,28,48,63,72,84,95,99,105,111,114,116,120,122,123,131,129,143,150,72,105,146,139,143,144,145,147,0,0,31,51,64,74,86,96,101,107,112,114,118,123,127,127,116,120,154,134,70,104,147,142,145,146,147,148,0,0,34,54,67,76,87,98,103,108,113,115,117,107,139,165,125,86,139,111,65,107,150,143,146,147,147,149,0,6,37,56,67,78,89,99,103,110,108,143,166,122,97,137,147,77,107,108,53,122,150,146,148,147,149,150,0,12,40,59,68,80,91,100,105,108,116,135,152,161,108,84,144,110,121,96,57,139,148,148,149,150,151,152,0,18,42,61,71,82,93,101,100,130,176,141,79,107,129,63,129,131,123,88,54,142,148,148,149,152,152,153,0,22,44,62,73,82,94,103,101,142,153,141,115,76,123,102,49,49,122,104,68,96,154,148,152,153,153,155,0,26,47,63,73,83,95,102,102,149,128,79,121,108,89,125,50,39,108,141,124,62,128,156,152,153,154,156,0,28,50,65,74,84,96,102,106,157,115,50,62,63,68,71,71,74,80,140,127,65,126,158,152,154,156,157,0,32,51,65,76,85,97,100,110,154,114,102,83,53,69,70,92,86,91,147,122,64,142,156,154,156,157,157,0,35,53,65,77,86,98,99,121,163,135,105,74,57,76,95,111,88,110,168,120,71,154,155,156,157,159,160,7,38,55,67,77,87,98,97,124,165,119,84,63,66,84,111,116,113,142,166,105,79,159,154,156,157,160,161,13,40,56,68,78,89,99,98,127,161,117,89,70,74,91,120,125,154,161,155,94,79,161,155,157,158,159,161,18,41,58,68,79,90,100,98,125,166,131,97,79,75,95,124,151,176,153,129,89,83,164,155,159,160,160,161,21,42,60,70,80,90,99,100,124,168,136,110,84,84,96,139,174,172,150,109,67,102,165,155,159,160,161,162,25,43,61,71,80,91,99,102,122,170,147,118,90,90,102,156,172,164,147,104,50,115,163,155,159,161,161,161,27,45,61,71,81,91,98,104,115,160,145,119,106,97,110,165,172,156,138,96,47,132,162,156,159,162,162,162,30,47,61,71,81,92,98,104,110,144,146,128,124,108,115,160,165,147,130,83,51,149,159,159,159,162,162,163,33,49,62,71,81,93,98,104,109,131,150,139,131,122,110,145,150,131,115,73,70,162,158,159,160,161,162,163,33,50,63,72,81,94,100,105,109,128,154,144,134,118,106,126,134,119,115,57,100,167,156,159,160,161,163,163,34,51,63,72,82,94,100,105,108,133,167,144,129,107,101,116,117,115,110,59,137,161,158,160,161,162,164,164,35,52,63,72,83,94,99,106,107,140,172,140,129,109,105,119,110,117,82,79,161,155,158,160,161,162,163,164,36,53,64,74,83,93,99,107,106,153,172,151,137,113,119,128,109,104,62,114,162,155,159,160,161,162,163,164,36,54,63,73,83,93,98,107,107,159,173,166,132,115,128,127,104,81,56,136,158,157,160,160,162,163,163,164
20,133,135,137,140,142,145,147,149,151,154,154,155,156,157,160,158,146,154,161,164,165,167,167,167,167,168,168,168,133,136,139,141,143,146,149,150,152,155,156,157,158,158,163,161,132,139,146,154,166,168,168,168,168,168,169,169,134,137,141,144,145,148,150,152,153,155,157,159,160,160,167,165,134,143,134,133,164,169,170,169,169,169,169,169,135,138,142,144,146,149,151,153,155,157,158,159,161,162,170,166,140,157,140,125,162,170,171,171,171,170,171,171,137,139,142,145,147,149,152,154,156,158,159,160,162,164,176,173,149,163,145,125,160,171,171,172,172,172,171,172,137,140,144,146,148,150,153,155,157,159,160,162,163,166,182,174,155,170,150,126,160,173,173,173,173,173,173,173,138,141,145,147,149,152,154,157,159,160,161,160,161,167,180,165,155,173,149,125,160,175,174,174,174,174,174,175,139,142,145,148,150,152,155,158,160,162,162,147,141,163,177,155,152,171,144,123,161,176,176,176,176,176,176,176,140,143,146,148,151,154,156,159,161,164,164,143,119,139,165,148,152,169,139,123,163,177,177,177,177,177,177,177,140,144,147,149,152,155,157,160,160,156,162,150,130,123,130,127,140,158,135,126,166,177,178,178,178,178,178,178,141,144,147,149,153,156,159,171,165,139,149,161,157,140,112,99,115,140,127,127,169,178,179,179,179,179,179,178,141,145,148,150,153,156,162,173,166,143,136,148,163,155,122,92,100,121,115,125,171,179,180,180,180,180,180,179,143,146,149,151,154,157,164,167,151,142,115,102,139,166,145,108,96,105,103,123,173,181,181,181,181,181,181,181,143,146,150,152,155,158,165,165,136,122,102,84,115,168,167,129,96,95,96,120,173,181,182,182,182,182,181,181,143,146,150,153,155,158,166,170,150,130,110,97,114,162,182,150,108,91,90,118,173,182,183,183,183,183,182,182,144,147,151,153,156,159,171,180,157,132,115,110,125,159,189,163,124,92,84,114,173,183,184,184,184,183,183,183,145,148,151,153,157,160,175,180,152,129,121,124,140,175,189,165,132,96,80,113,174,183,184,184,184,184,183,183,145,149,152,154,157,160,177,181,156,137,132,134,159,196,188,159,133,98,79,117,176,184,184,185,185,184,184,184,145,149,153,155,157,160,178,185,162,143,138,146,177,203,187,157,131,101,82,124,178,185,186,186,186,185,184,184,146,150,153,155,158,161,179,189,168,148,144,158,186,196,181,157,130,101,84,133,181,185,186,186,186,185,185,184,146,150,153,155,158,161,179,191,172,158,151,164,191,190,175,154,126,101,88,145,183,185,186,186,186,185,185,185,147,150,153,156,158,162,177,191,177,169,162,166,190,186,171,153,124,97,91,153,185,186,186,186,186,186,185,185,147,150,154,156,159,162,172,189,185,179,172,167,182,179,166,151,124,95,92,155,186,186,186,186,186,186,186,185,147,151,154,156,159,163,168,183,188,183,175,167,172,173,161,151,124,95,96,159,186,187,187,186,186,186,186,186,148,151,154,156,159,163,166,178,187,179,168,162,166,167,158,154,127,96,105,167,186,187,187,187,187,187,187,187,147,151,153,156,159,163,166,177,184,171,160,154,161,165,155,155,127,97,119,176,186,187,188,188,187,187,187,187,147,151,153,156,159,163,167,178,183,169,160,153,160,166,152,150,122,97,138,182,187,188,188,188,188,187,187,187,147,151,153,157,159,163,167,181,189,177,165,158,162,166,147,144,116,100,153,185,187,188,189,188,188,188,188,188
20,205,206,208,206,208,211,210,212,212,211,212,211,211,211,210,209,206,209,205,203,203,201,198,197,194,192,190,187,209,211,213,212,214,215,215,216,216,215,216,215,215,216,213,224,209,159,216,212,206,205,203,200,199,196,193,191,216,216,217,218,219,219,219,219,220,221,221,220,220,221,218,230,223,130,174,203,214,208,208,206,204,201,199,196,219,221,223,223,223,223,225,225,226,227,226,225,225,225,223,229,225,123,103,136,206,216,213,210,208,206,203,201,224,225,226,227,227,229,230,230,231,232,230,229,231,231,227,240,220,105,147,147,167,228,216,215,213,211,208,206,230,231,232,232,232,234,235,234,235,234,234,234,236,236,231,245,215,101,180,173,134,232,219,219,216,215,211,209,234,235,236,237,237,238,239,238,239,239,239,239,240,240,234,255,223,114,185,184,126,231,225,224,221,220,217,213,238,240,240,241,241,241,242,242,242,242,242,243,243,242,237,255,206,107,194,215,130,224,233,227,226,225,222,216,242,243,243,242,245,245,245,246,245,246,246,246,247,247,249,255,182,108,217,214,122,217,240,232,229,227,226,223,245,246,247,247,248,249,251,251,250,249,248,251,250,231,227,255,194,133,239,210,113,212,242,234,234,232,228,225,250,251,252,253,253,252,253,254,254,253,252,253,255,244,214,209,197,125,210,218,127,210,245,237,237,235,233,229,253,253,254,255,255,255,255,255,255,255,255,255,253,255,255,222,171,136,191,226,143,202,251,240,240,237,236,231,255,255,255,255,255,255,255,255,255,255,255,255,255,209,225,224,218,171,141,190,133,193,255,242,242,238,236,233,255,255,255,255,255,255,255,255,255,255,255,255,255,224,119,202,240,160,95,123,112,177,255,245,244,241,238,236,255,255,255,255,255,255,255,255,255,255,255,255,255,230,84,167,238,185,121,99,86,160,255,248,247,244,242,240,255,255,255,255,255,255,255,255,255,255,255,255,255,225,148,132,183,212,158,144,92,134,255,250,250,248,244,243,255,255,255,255,255,255,255,255,255,255,255,255,255,227,188,128,98,178,186,156,100,105,255,255,253,251,248,246,255,255,255,255,255,255,255,255,255,255,255,255,231,230,222,176,122,135,174,173,120,90,249,255,253,252,251,248,255,255,255,255,255,255,255,255,255,255,255,243,181,158,209,198,131,112,151,208,166,87,198,255,254,254,252,250,255,255,255,255,255,255,255,255,255,255,255,249,203,109,121,189,112,88,130,211,205,119,115,255,255,255,255,252,255,255,255,255,255,255,255,255,255,255,255,238,205,160,96,138,120,92,180,244,223,149,87,247,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,249,244,168,113,139,157,150,253,248,209,124,102,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,249,248,180,141,141,233,255,255,216,188,93,143,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,240,234,196,147,138,249,255,240,191,163,87,192,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,227,222,197,153,139,233,245,217,173,134,85,236,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,230,222,198,171,150,230,245,203,152,99,110,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,219,203,181,142,208,226,175,125,69,197,255,255,255,255,212,146,255,255,255,255,255,255,255,255,255,255,255,252,228,203,177,144,168,179,128,85,97,255,255,221,182,127,72,60
10,109,114,119,117,103,90,99,72,64,90,89,96,98,110,121,124,128,135,138,142,147,150,151,155,155,157,159,161,116,121,125,118,109,92,108,67,71,91,92,93,116,145,119,127,130,136,140,144,147,150,152,155,157,158,159,161,123,129,134,121,114,94,114,61,77,91,95,88,151,167,106,127,133,139,142,145,148,151,155,156,158,159,160,161,131,137,140,124,118,98,117,57,83,91,95,91,139,174,108,118,139,141,144,147,150,154,158,159,160,160,161,161,138,145,146,127,120,104,117,55,88,92,95,95,121,174,122,106,143,145,149,152,155,159,162,164,165,165,164,165,145,153,150,131,121,112,112,55,93,92,96,99,110,173,148,104,141,152,154,156,161,165,168,169,169,170,170,169,151,160,153,136,120,121,106,59,96,93,97,101,107,165,165,110,131,159,157,162,166,170,173,174,174,174,175,175,157,165,154,141,119,131,98,65,97,94,98,103,110,154,174,118,118,164,162,167,170,175,177,179,179,179,180,180,161,170,154,145,117,139,87,72,98,95,98,104,113,153,189,133,112,167,168,172,176,179,182,185,185,185,185,185,165,173,155,149,117,146,79,76,96,96,99,104,116,155,188,140,112,169,173,177,180,183,185,188,189,190,190,190,169,175,156,152,117,149,66,101,103,96,99,106,119,154,177,139,108,167,178,179,185,188,191,193,194,195,194,194,172,177,157,151,121,141,109,145,98,104,115,106,124,160,161,144,105,162,183,183,188,192,195,197,197,197,198,199,174,176,157,149,125,138,137,139,95,90,92,96,120,167,150,167,101,152,188,186,192,196,198,200,200,200,200,201,177,177,160,146,129,157,114,131,118,95,86,79,83,108,129,146,97,139,193,189,194,199,201,202,202,203,203,204,179,176,163,141,135,136,88,94,133,122,105,80,66,90,111,120,105,121,193,192,197,200,202,204,204,204,205,206,181,174,169,139,144,123,86,127,145,134,104,82,74,80,94,105,103,107,191,195,199,202,205,205,206,207,207,208,183,173,171,134,157,100,109,185,164,131,108,91,85,81,88,95,97,105,192,198,200,204,207,207,209,209,209,210,184,174,172,129,162,88,118,186,161,119,125,109,90,85,85,90,92,108,196,199,203,206,208,209,210,211,212,212,186,174,172,128,168,81,90,198,189,108,101,125,107,96,83,84,89,115,200,199,204,208,210,211,211,212,212,213,185,175,174,128,170,72,94,197,195,103,128,127,124,106,86,85,84,127,204,199,205,209,211,211,213,214,214,214,184,176,175,131,175,67,92,184,152,119,177,145,125,118,92,88,80,133,206,199,205,209,212,213,214,215,216,216,184,179,171,135,172,63,88,171,185,156,182,163,132,122,104,93,83,140,205,200,205,208,212,212,213,215,216,215,186,184,166,141,166,60,90,146,187,167,175,164,153,127,107,98,84,144,205,200,205,208,211,213,213,214,216,216,187,186,160,150,156,51,95,106,178,188,175,172,152,133,112,100,85,140,204,199,204,207,210,213,214,213,215,216,186,187,154,156,154,80,113,99,169,189,172,185,147,131,110,102,89,151,209,206,211,214,217,219,220,221,222,225,179,189,150,155,176,127,123,120,147,188,169,179,146,124,110,107,92,132,159,161,165,168,173,175,178,181,184,183,184,188,147,162,172,116,115,119,118,173,167,158,151,136,126,110,89,111,126,124,124,126,126,126,126,126,126,96,186,184,144,168,168,120,120,123,120,142,149,143,152,156,148,111,83,88,133,131,133,135,135,133,132,137,115,87
23,109,112,114,116,119,121,123,126,127,128,129,131,131,132,132,134,134,135,137,137,138,140,140,140,140,140,141,141,109,112,115,118,120,122,124,126,127,129,130,131,132,133,135,136,136,137,139,141,140,140,140,141,141,141,141,143,110,113,115,118,121,123,124,126,128,129,130,132,134,134,133,135,130,134,137,120,137,142,141,143,142,142,144,143,111,113,116,119,122,124,125,127,129,129,131,133,133,133,140,140,128,121,103,73,137,144,142,145,143,144,145,144,113,115,117,120,123,124,126,128,129,131,133,131,134,141,145,128,89,88,81,117,146,142,143,145,144,145,145,144,112,116,118,120,123,124,126,129,129,133,131,138,149,133,124,83,88,124,141,147,143,144,146,145,146,146,146,146,113,116,119,120,124,125,127,130,130,133,129,150,153,107,75,104,145,100,125,147,142,145,147,146,147,147,146,147,113,116,120,122,124,126,127,129,131,134,130,151,156,115,124,164,135,98,99,153,146,145,147,147,147,147,148,148,113,117,120,122,124,126,127,130,131,134,133,156,152,150,162,142,122,129,110,124,134,146,146,147,147,148,148,149,113,117,120,123,125,126,128,131,133,134,136,154,147,153,145,144,145,137,108,69,77,135,150,148,149,149,149,149,115,118,121,124,125,127,129,133,133,134,138,143,139,142,144,140,134,128,94,59,51,101,159,148,149,149,149,149,115,118,121,124,126,127,128,132,132,142,145,135,131,139,138,134,131,117,84,60,55,65,113,153,149,149,149,148,114,118,121,124,126,127,129,131,135,164,151,137,141,132,126,118,101,102,87,61,50,68,66,120,156,149,150,149,114,118,122,124,127,128,130,133,133,159,160,149,143,119,96,63,63,113,86,59,43,68,68,113,157,149,150,150,115,118,122,124,127,129,130,133,134,153,157,144,132,120,96,52,66,115,82,56,55,74,78,146,153,150,151,151,115,119,122,125,127,129,130,133,134,154,158,137,150,117,63,45,87,79,50,49,75,77,105,157,150,152,152,152,115,119,123,126,128,128,131,133,133,153,153,145,143,108,66,35,49,31,42,57,81,80,142,153,151,151,151,152,116,119,123,125,127,129,131,134,134,153,151,151,140,107,78,28,28,47,68,76,73,102,157,150,152,152,152,152,117,121,123,125,127,129,132,134,135,155,151,152,139,105,82,42,43,70,83,87,72,133,156,152,153,152,152,152,117,120,123,126,128,130,132,134,137,155,152,151,135,106,84,48,55,79,86,79,96,157,150,153,153,153,152,153,118,120,124,127,128,130,132,134,138,156,150,144,129,103,83,54,60,83,87,73,121,159,151,153,154,154,153,153,117,120,124,127,128,130,133,134,141,156,142,137,125,101,83,65,62,84,82,74,144,154,152,153,153,154,153,154,117,120,124,127,128,130,133,134,141,154,140,134,121,103,88,71,65,82,73,97,158,152,153,154,154,155,155,155,118,121,124,128,129,130,134,133,144,154,141,137,121,106,93,75,67,74,73,141,155,153,154,154,155,156,156,155,117,121,124,128,128,130,135,133,148,155,141,134,122,111,91,75,70,65,117,157,152,154,154,154,155,156,156,156,117,121,125,128,130,132,133,135,154,149,139,129,119,107,81,75,65,111,157,152,154,153,154,154,156,156,156,156,118,121,125,128,130,134,132,146,156,145,137,122,107,94,81,68,96,158,152,153,153,153,154,154,156,156,156,156,118,122,126,128,129,132,131,153,150,144,133,117,101,93,80,66,139,156,152,154,154,154,155,155,155,157,156,156
10,101,107,110,113,118,123,129,133,136,139,142,145,147,150,151,153,155,156,158,157,155,159,159,159,159,158,158,157,103,109,113,115,120,125,131,136,138,142,144,147,150,151,153,157,158,159,158,165,170,145,163,162,162,160,161,160,103,111,114,115,122,127,133,137,140,143,145,149,152,153,156,158,159,160,154,184,189,121,160,164,164,164,162,162,104,111,114,117,124,129,134,138,142,145,147,150,153,155,159,160,161,163,157,191,197,123,155,167,165,165,164,164,107,113,115,118,124,131,136,139,143,146,149,152,155,158,160,163,164,165,160,186,210,134,149,171,166,167,167,167,107,115,117,120,127,132,137,140,144,148,151,154,158,159,161,163,165,167,163,182,226,156,139,175,169,170,169,169,110,116,118,122,129,134,139,144,147,150,153,157,159,160,163,164,165,168,165,181,228,173,128,176,171,172,171,172,111,117,119,124,130,135,140,145,150,153,155,158,160,163,163,165,170,170,168,177,227,182,123,175,173,173,173,173,112,118,120,125,131,137,142,147,151,152,156,161,162,161,175,175,140,172,171,177,226,187,119,171,177,174,174,174,114,121,123,126,133,139,143,147,151,160,159,157,163,165,192,190,112,134,178,179,226,193,119,166,181,177,178,177,116,121,124,127,135,141,144,149,149,188,156,110,110,118,158,191,167,137,161,186,220,189,122,154,184,178,179,179,116,121,124,130,137,142,146,151,154,168,135,98,93,100,99,170,212,171,118,188,201,183,133,141,187,179,180,181,117,123,125,131,138,143,148,152,157,160,151,134,121,116,110,121,192,178,114,145,162,165,138,132,188,182,183,182,119,124,128,133,139,146,150,154,158,162,168,165,191,185,104,88,176,204,153,97,105,128,132,115,182,184,184,184,121,125,129,134,140,147,152,155,161,164,165,173,225,184,84,72,138,222,178,115,85,105,119,103,170,189,184,185,121,126,130,135,141,147,153,157,161,167,163,204,228,176,94,94,89,216,200,150,99,93,117,102,161,192,184,186,122,127,130,136,142,149,154,158,163,168,165,200,223,205,115,65,104,207,216,172,117,87,112,103,164,195,187,188,123,128,130,137,144,150,155,159,164,168,169,176,211,221,146,100,127,207,215,169,120,95,104,100,169,196,189,190,124,128,132,138,145,151,157,160,165,168,172,171,194,198,143,132,139,215,208,182,136,103,102,97,174,196,190,192,126,130,133,140,147,152,157,162,166,170,172,176,175,191,190,154,170,225,205,190,156,115,101,95,180,196,192,193,127,131,134,141,147,152,158,163,167,170,174,179,176,208,228,198,199,228,209,183,159,126,105,93,182,196,193,194,127,130,134,140,147,153,158,163,167,171,174,179,178,199,228,213,215,227,209,183,160,133,111,94,183,197,196,196,127,130,133,140,147,152,157,162,166,170,174,177,178,189,228,225,218,224,208,183,156,140,116,96,184,197,194,195,128,132,134,141,149,154,159,163,167,171,175,179,180,187,226,228,224,225,205,183,162,146,121,92,183,198,196,196,127,131,135,141,149,154,160,165,169,173,176,179,182,183,218,228,227,224,203,190,169,143,117,94,191,198,197,197,128,131,136,143,151,155,160,165,169,173,177,180,184,181,206,228,219,215,198,199,178,140,109,102,199,196,199,199,128,132,136,142,149,154,160,166,171,175,178,181,184,188,200,224,205,204,202,201,189,141,101,104,204,202,199,200,124,129,134,140,148,153,159,166,169,173,178,179,185,156,96,186,203,212,211,199,192,137,100,61,66,166,206,198
24,148,150,151,152,154,156,157,157,157,159,157,158,157,158,157,156,156,157,156,155,155,154,153,151,151,151,151,150,149,150,153,154,155,157,158,159,158,159,158,159,158,159,158,158,158,157,157,156,156,156,155,154,152,151,150,150,150,151,153,154,159,158,158,160,160,160,160,160,160,160,160,160,159,157,157,157,157,156,155,155,154,151,150,150,151,153,153,158,141,156,160,161,161,161,162,161,161,161,161,160,160,158,158,158,157,157,156,156,155,153,152,152,153,154,156,169,108,146,165,161,161,162,163,162,162,161,161,160,161,160,159,159,158,157,157,157,156,154,154,154,154,154,161,159,100,148,164,162,163,163,164,165,162,161,162,162,162,161,160,160,159,158,157,157,156,154,154,155,154,154,163,156,100,146,166,163,164,163,160,156,166,163,163,163,162,161,160,161,161,163,161,157,157,157,155,155,155,155,164,161,102,148,169,164,166,168,165,126,131,166,165,163,164,163,162,153,142,130,152,161,157,157,156,156,156,156,165,158,105,137,165,162,139,162,173,152,102,111,166,166,164,163,145,117,105,91,128,165,158,157,157,157,156,156,164,156,155,153,153,176,123,131,178,156,105,82,128,172,165,158,120,92,99,134,155,162,160,159,159,158,158,158,163,171,185,167,169,180,139,119,176,150,97,77,93,161,171,146,101,95,158,168,164,162,161,160,160,159,158,160,164,165,190,169,175,182,141,95,142,119,91,68,92,153,158,120,91,141,171,162,163,162,162,161,161,160,159,161,163,170,193,170,183,188,138,92,58,112,141,128,147,155,126,96,111,171,165,165,164,164,163,162,161,160,159,162,162,188,187,156,160,172,120,81,94,173,172,161,149,143,113,91,155,171,167,167,166,165,163,163,161,161,160,161,166,178,166,145,115,116,98,138,189,182,166,150,135,124,105,115,174,168,168,168,167,166,165,164,163,162,162,160,175,176,164,147,126,93,157,201,188,181,162,140,121,110,98,149,176,168,168,168,168,166,166,165,164,163,162,160,182,189,169,148,140,160,204,192,187,176,151,127,111,105,103,168,172,169,169,169,168,168,167,166,165,164,162,161,188,192,175,164,173,201,199,193,183,165,138,113,111,92,129,179,171,171,171,171,169,169,168,166,165,164,163,161,192,194,180,180,197,202,194,187,172,149,122,108,102,101,169,176,173,172,172,171,170,169,168,167,167,166,163,161,191,198,184,191,204,193,177,168,154,130,113,106,96,155,179,174,173,173,172,171,170,169,169,168,168,166,164,162,189,203,187,181,187,181,165,150,138,115,108,93,149,181,174,174,174,174,172,172,172,171,170,169,168,167,165,163,183,197,181,178,186,184,168,152,134,112,87,111,180,176,177,176,174,174,173,173,173,172,171,169,169,168,164,165,173,178,168,181,185,181,168,148,129,102,74,144,182,177,177,177,176,175,173,173,173,173,172,172,171,168,163,167,168,175,180,186,180,174,168,145,123,92,83,165,181,177,178,178,178,176,174,174,173,173,173,171,171,169,162,165,166,183,190,178,176,171,161,142,122,89,92,174,178,177,177,177,176,174,174,174,174,173,172,171,170,169,162,165,164,187,187,169,180,163,154,141,120,95,86,169,178,176,177,177,175,174,174,175,173,172,171,171,169,169,163,166,164,192,189,168,181,159,156,141,116,96,82,161,181,177,178,178,176,174,173,174,173,172,171,171,169,168,162,165,165,193,191,173,181,166,154,139,115,97,79,153,182,177,179,176,177,175,174,174,173,173,172,171,170,169
5,157,158,157,159,160,161,162,162,163,163,163,163,162,164,167,163,164,164,162,162,161,159,158,157,158,155,154,153,160,160,161,162,164,165,165,165,166,166,167,167,168,165,151,166,166,165,165,165,164,163,161,160,159,158,158,157,165,165,165,166,168,168,169,168,170,172,171,174,171,179,113,150,174,169,170,168,166,165,165,164,163,162,161,158,167,168,169,170,171,171,171,172,174,175,172,145,162,194,118,128,183,172,172,171,171,170,169,168,166,166,164,162,171,172,173,174,175,176,175,177,178,175,185,131,129,202,118,111,189,174,176,174,174,172,172,171,170,169,167,165,174,174,177,176,178,180,181,180,181,178,194,146,115,201,113,110,192,178,179,178,176,175,174,174,174,172,171,168,177,176,179,180,181,182,178,182,184,181,199,151,104,199,125,117,194,180,182,183,180,179,177,177,177,175,173,172,180,181,182,184,183,188,152,149,193,181,201,159,104,195,119,124,197,184,186,186,190,183,180,180,180,177,176,175,183,185,185,186,185,194,159,116,194,183,203,163,96,188,106,130,199,186,187,178,154,181,185,182,181,180,180,179,185,187,188,188,187,198,178,97,191,189,200,158,82,190,127,132,200,186,192,184,130,141,197,186,184,184,183,182,186,188,189,189,191,196,179,95,188,193,195,173,87,170,141,132,200,182,174,162,182,145,166,189,188,186,185,183,189,190,191,192,194,195,200,106,170,198,190,185,88,136,147,140,196,189,149,79,165,160,123,191,191,188,186,186,192,192,193,195,195,197,205,139,139,202,192,189,91,124,147,141,189,187,141,133,184,130,148,200,191,190,189,187,194,194,195,195,197,196,191,196,155,165,186,173,121,138,134,121,164,164,134,192,177,108,189,195,193,192,190,189,194,197,197,198,198,201,185,202,187,150,153,151,129,132,126,122,166,158,146,200,149,102,203,194,196,194,193,193,196,199,200,200,200,203,197,198,210,172,144,142,118,123,123,124,161,155,163,208,118,107,210,197,197,196,195,194,198,199,200,202,202,202,203,200,225,193,132,127,109,107,119,129,158,148,166,212,116,130,214,197,198,198,196,195,199,200,202,202,202,202,203,204,227,200,135,102,105,103,115,146,165,137,159,210,123,143,213,198,200,201,199,196,200,201,202,203,204,204,203,204,224,197,144,102,104,102,136,155,178,180,153,197,126,148,214,199,202,201,200,197,202,202,203,205,207,207,206,202,221,192,147,106,97,115,150,168,192,196,161,161,105,145,216,202,202,201,200,200,201,202,204,206,207,207,209,201,219,196,154,107,98,125,165,187,190,189,164,118,73,134,219,203,204,202,201,201,203,205,206,207,208,208,211,202,215,197,155,111,100,123,177,199,196,176,138,91,60,170,214,205,207,205,202,202,204,207,207,208,208,210,211,203,204,196,153,114,107,120,188,203,183,156,121,66,122,218,207,208,208,206,203,202,206,207,207,208,209,210,213,199,191,194,152,125,115,120,184,186,166,140,96,81,205,215,208,208,209,207,204,203,205,206,207,208,209,210,215,201,186,185,145,137,114,120,169,172,157,123,62,152,224,210,211,210,209,208,206,203,204,205,206,208,208,209,211,204,183,176,147,139,109,117,157,159,137,76,96,218,213,213,210,210,209,208,207,206,203,205,207,208,208,209,213,202,189,179,148,136,114,102,139,125,88,75,195,216,211,212,210,210,209,208,207,205,205,207,208,208,208,210,214,198,193,171,130,126,114,95,118,91,63,167,224,211,214,211,211,212,209,208,206,205
22,164,166,168,169,169,169,170,172,170,171,172,172,172,171,172,171,171,171,173,171,168,169,167,169,144,37,0,0,166,169,170,171,171,173,175,174,174,175,176,176,176,175,175,176,176,175,176,175,172,171,169,172,151,23,0,6,169,172,172,174,175,177,177,177,177,178,180,178,179,178,178,178,179,180,178,177,176,175,174,171,178,76,0,21,171,174,176,177,177,178,179,181,180,180,182,182,178,181,184,180,181,181,179,183,180,178,177,174,180,123,6,10,173,177,178,179,179,182,183,184,184,184,184,184,192,157,165,189,183,188,172,145,186,181,180,177,177,178,32,0,177,179,181,181,184,184,185,185,187,186,186,183,208,146,131,199,184,194,180,94,184,184,184,181,178,153,56,0,178,180,184,185,186,187,186,187,188,188,188,186,208,144,120,202,187,191,164,90,181,187,186,182,196,106,83,48,179,182,184,187,186,186,190,189,190,191,192,188,216,166,109,199,190,192,169,96,176,191,187,191,185,90,125,136,182,185,187,189,190,188,191,192,193,194,193,188,218,198,106,194,193,195,179,107,180,193,186,201,162,98,127,165,184,186,188,191,193,191,193,194,195,194,195,191,210,223,111,188,198,192,170,112,186,196,191,216,153,105,172,164,185,187,189,190,191,193,194,194,195,195,195,193,205,237,115,164,204,188,169,109,183,197,198,215,130,124,200,132,186,188,190,192,194,194,195,193,195,196,196,195,203,243,160,125,206,193,185,117,181,197,209,196,100,143,204,151,187,189,192,193,195,196,197,196,197,199,199,198,199,235,193,105,188,188,183,119,184,203,213,178,87,169,200,184,189,191,194,195,195,196,197,199,200,198,199,202,196,221,185,130,138,128,177,142,195,214,209,146,101,198,194,192,190,192,193,195,195,195,196,199,200,201,201,202,205,234,198,171,164,65,120,162,182,180,182,111,141,207,193,194,188,188,190,194,194,195,196,197,197,199,201,197,222,211,221,170,180,132,91,98,127,132,128,89,188,200,195,194,188,189,192,194,195,196,198,197,197,199,200,201,221,167,198,166,137,186,165,90,66,108,89,96,206,194,195,193,188,190,193,194,196,197,198,197,198,202,200,213,226,190,174,168,70,153,179,145,80,65,67,108,207,193,194,193,186,189,193,194,194,195,197,197,200,203,199,220,218,167,124,166,71,52,154,177,146,73,43,128,209,195,194,193,194,197,200,201,198,200,202,201,203,207,199,217,221,161,126,132,97,34,116,205,191,139,50,151,208,195,195,193,155,160,164,169,173,178,183,186,189,195,193,208,233,176,133,98,114,127,187,192,209,174,98,110,216,208,206,203,67,67,70,73,73,75,79,79,83,90,79,162,242,207,130,107,145,204,225,206,199,170,125,82,145,143,144,154,73,73,74,74,72,72,72,72,71,77,58,149,246,230,133,116,140,212,227,217,189,153,100,61,67,95,134,171,75,72,72,74,76,76,76,77,78,79,70,148,236,232,136,137,133,215,233,216,182,147,74,113,199,205,215,220,71,71,71,71,74,74,75,77,78,80,69,121,233,229,154,160,127,207,240,200,171,130,62,148,213,195,196,211,70,72,72,71,72,73,73,76,77,77,73,89,219,226,177,160,133,189,225,176,147,102,63,140,170,191,193,196,69,70,71,72,73,72,72,76,76,74,77,71,189,224,185,148,125,158,205,152,112,74,70,168,123,139,173,192,70,71,72,72,78,74,72,75,76,77,77,68,177,205,162,132,109,113,171,129,89,59,89,190,118,119,161,187
21,161,164,165,166,166,166,166,168,168,168,169,170,166,160,169,167,168,168,167,166,165,164,164,162,165,84,14,10,165,166,167,168,169,169,169,170,171,171,170,173,185,121,159,173,169,170,170,169,171,167,165,168,144,70,26,16,167,169,170,172,172,172,172,172,173,173,172,175,190,111,142,180,172,173,174,163,146,173,168,172,142,45,28,31,170,171,172,172,174,175,175,174,175,175,176,178,192,112,127,185,175,175,181,166,99,171,171,174,150,62,38,49,172,172,174,175,176,177,177,177,178,178,177,180,198,120,118,186,177,176,188,162,93,173,174,172,176,83,37,48,174,175,176,178,178,179,179,179,179,179,179,180,205,137,117,187,181,178,191,154,97,174,177,174,179,119,40,39,175,177,177,180,180,181,182,181,181,182,183,181,209,149,116,185,184,181,197,152,105,176,179,176,181,160,48,27,177,179,180,182,182,183,183,184,183,183,184,181,208,160,117,175,189,184,204,157,110,181,181,180,178,183,75,29,179,181,182,183,184,185,184,185,185,184,187,183,213,178,126,161,192,187,205,156,110,183,183,182,179,185,133,128,181,182,183,185,184,184,185,187,186,186,188,184,213,192,129,155,194,193,211,153,108,187,184,183,181,184,134,174,182,183,185,186,186,187,188,189,188,188,190,178,186,199,124,154,195,200,204,141,116,193,186,185,183,182,154,181,182,183,184,187,188,189,189,189,190,188,208,184,151,166,140,135,196,204,188,129,128,197,186,187,186,185,177,136,183,184,187,188,189,190,189,190,191,189,216,211,179,131,166,91,161,198,177,119,144,200,188,188,188,188,182,128,184,186,187,188,189,189,190,190,190,194,192,217,203,164,172,102,91,151,151,106,164,198,190,189,188,189,186,166,185,186,187,189,190,190,191,191,191,196,169,161,214,170,163,148,108,95,113,87,171,197,190,190,189,189,190,184,186,187,189,190,190,190,192,193,193,190,199,165,187,176,133,172,156,102,84,78,165,201,191,191,191,190,189,188,185,186,188,188,190,190,192,192,195,197,217,180,118,163,120,147,166,119,78,72,166,201,193,192,191,191,189,188,185,187,187,187,190,190,191,191,208,212,200,142,86,105,155,120,155,146,97,66,170,199,192,191,191,190,189,188,185,187,188,189,189,191,191,196,214,182,161,151,110,63,122,86,135,180,120,74,181,198,192,192,191,190,189,188,186,188,189,190,190,192,192,195,210,179,150,162,119,77,56,113,160,196,152,87,149,201,192,193,191,190,190,189,185,187,188,189,189,191,192,192,206,189,166,157,148,97,83,196,183,188,169,116,103,200,194,193,192,190,190,190,192,194,195,196,195,196,198,199,207,206,174,120,150,114,136,218,196,179,156,122,117,200,194,194,192,190,190,190,136,140,144,147,151,155,159,162,208,209,171,116,146,131,185,221,187,171,140,95,131,207,197,200,199,195,190,188,87,88,90,89,89,89,89,89,198,214,165,137,156,144,215,212,184,162,134,92,102,123,118,118,124,137,162,183,97,98,97,97,96,97,99,91,183,212,169,161,170,153,223,211,181,154,120,94,87,90,107,135,160,183,198,206,96,96,95,96,97,97,100,88,149,214,189,186,181,141,205,201,163,140,103,91,161,177,186,200,203,196,197,210,95,96,94,96,97,96,98,95,108,200,201,189,177,138,173,187,140,111,87,100,204,201,175,166,183,191,189,196,95,95,94,96,98,96,96,99,91,181,196,172,153,128,135,162,121,94,82,117,157,170,191,152,150,170,185,195
6,166,168,170,172,173,175,176,175,175,175,176,176,176,175,174,174,174,174,173,172,171,171,171,171,170,169,167,166,167,169,171,172,174,176,176,177,177,177,177,177,177,176,176,175,175,174,173,173,172,172,172,172,171,170,168,167,167,169,171,173,175,177,178,178,179,178,178,178,178,178,177,176,176,175,174,174,173,173,173,172,172,171,169,167,167,169,172,174,176,178,178,179,179,179,179,179,178,178,177,177,176,175,175,175,174,174,174,173,172,172,170,169,168,170,172,174,176,178,178,179,179,179,179,178,177,174,171,170,171,172,173,173,172,173,173,173,173,172,171,170,169,171,173,175,177,178,178,180,180,179,177,174,168,160,148,147,153,156,156,156,154,154,163,165,167,172,172,171,169,172,174,176,178,177,177,180,181,182,179,174,168,156,142,141,150,155,150,147,139,138,160,155,148,169,172,172,170,172,175,181,181,175,177,183,185,183,178,171,163,151,138,134,140,147,146,144,140,137,151,144,139,168,173,172,172,173,178,193,187,175,173,174,173,168,163,156,148,141,129,112,110,125,131,134,136,135,139,142,156,172,174,173,173,174,181,197,185,171,165,163,166,168,166,159,149,145,139,117,110,147,157,159,161,162,164,168,174,176,174,173,173,175,183,188,171,163,164,168,174,178,174,165,157,151,144,121,111,161,180,180,180,180,179,179,178,177,175,174,173,176,190,185,164,159,162,169,176,179,177,169,159,148,133,109,99,145,180,182,181,181,180,180,179,178,176,175,174,178,190,177,163,159,161,164,169,173,172,164,152,143,127,97,89,126,176,182,182,182,181,180,180,179,178,176,174,178,183,172,170,168,167,168,173,177,175,162,147,143,132,96,86,116,171,183,183,183,182,181,180,179,178,177,174,177,184,186,182,175,174,176,181,182,173,159,149,143,128,99,89,114,169,184,185,184,182,181,180,179,178,177,174,176,189,201,190,175,173,172,173,171,165,156,147,134,112,96,95,123,173,185,185,185,183,181,180,180,179,178,173,175,190,201,189,174,166,158,151,150,150,146,140,126,98,89,106,150,182,185,184,184,183,181,180,179,177,177,173,175,189,194,188,175,161,150,148,155,158,152,149,141,104,84,115,169,185,184,183,183,182,181,180,178,176,175,174,176,188,190,191,179,162,160,169,174,165,152,145,139,109,93,131,178,185,184,183,182,182,181,180,178,177,175,174,176,187,188,189,177,165,164,171,170,158,145,135,122,104,102,146,182,185,184,183,182,182,181,180,179,178,176,173,172,183,187,183,172,165,163,163,157,146,131,117,106,101,116,160,183,185,185,184,183,182,181,180,179,178,177,172,169,179,186,182,170,160,154,146,132,118,104,98,111,133,155,176,182,183,183,183,183,182,181,180,179,178,178,154,155,172,180,172,159,148,137,122,106,95,86,98,132,156,162,164,164,165,165,164,164,164,164,164,165,177,201,108,119,160,171,156,146,138,125,105,94,93,92,97,106,111,111,111,111,111,110,109,109,109,109,111,132,192,233,96,110,154,162,148,144,135,117,99,93,97,99,94,91,91,90,90,90,91,90,89,89,88,88,107,174,232,244,97,114,155,156,146,147,133,110,95,93,101,99,94,92,92,91,91,93,96,94,94,95,93,107,172,232,246,243,97,121,160,155,146,146,130,107,93,95,104,98,94,93,92,91,91,92,94,93,93,94,103,163,230,247,243,238,98,128,163,153,143,140,122,101,92,97,104,97,94,93,92,91,90,91,91,92,92,93,134,217,246,248,239,234
7,157,158,158,159,158,158,157,157,157,158,158,158,159,158,157,156,156,156,142,52,34,57,73,77,99,122,137,158,159,160,162,161,161,160,161,160,162,161,161,160,160,160,159,159,159,160,122,43,48,73,69,72,96,119,141,160,164,164,164,164,165,165,165,165,166,165,165,165,164,163,162,161,160,163,99,42,58,66,69,67,92,125,147,161,166,166,167,166,167,167,167,166,168,167,166,163,162,164,161,160,156,159,130,101,115,69,61,80,100,136,154,156,170,170,171,170,171,170,169,170,171,171,172,161,147,161,168,160,147,147,139,157,184,106,59,81,112,149,155,148,173,173,173,173,175,174,172,174,182,186,181,167,155,163,162,158,149,143,139,136,165,111,75,96,129,160,157,146,176,177,176,175,175,176,184,192,195,192,184,170,168,162,134,141,160,153,151,142,139,123,119,156,146,163,164,152,180,180,181,180,175,182,190,190,186,181,179,179,172,161,141,146,162,152,149,143,121,115,105,133,129,160,169,166,182,181,199,195,185,183,185,183,183,183,181,180,172,152,146,139,127,114,108,105,93,92,96,97,104,157,170,175,183,187,209,197,179,175,181,185,184,180,173,164,151,134,121,113,111,114,124,126,103,160,153,135,107,156,166,176,186,193,207,193,165,162,171,173,170,155,133,117,97,92,124,165,177,178,184,164,130,193,139,165,115,152,163,171,187,197,201,183,159,162,163,147,126,106,112,138,108,108,115,99,172,186,184,177,159,125,117,186,120,137,161,161,188,200,199,184,183,178,163,151,144,150,154,150,142,139,143,87,115,192,184,184,179,129,168,191,128,114,156,155,192,202,202,205,209,187,153,154,158,158,152,140,136,135,125,85,110,193,187,185,182,174,165,179,152,108,148,156,195,203,205,212,209,182,146,145,143,135,134,130,124,117,100,92,179,191,188,187,185,183,191,179,165,149,153,157,197,204,207,209,193,171,156,146,122,102,108,122,118,114,102,109,194,192,190,189,190,186,162,129,134,156,156,158,204,208,207,200,184,175,175,177,147,122,133,148,140,125,118,110,161,197,193,190,191,194,162,126,143,153,154,159,208,211,203,192,183,175,187,184,147,122,129,133,124,112,108,92,159,198,193,193,193,194,186,148,163,148,152,158,207,208,202,192,183,185,198,178,142,122,122,119,115,106,93,109,191,197,196,195,193,192,192,166,159,150,144,153,205,207,200,190,188,193,187,161,131,114,102,95,87,76,95,176,201,197,196,195,194,195,194,177,161,155,141,144,202,202,194,187,188,179,162,144,128,117,95,75,87,127,179,204,199,198,197,196,195,196,196,184,162,165,148,130,196,195,189,185,185,170,155,146,132,117,125,169,190,205,205,203,200,200,199,199,198,197,197,185,161,170,164,143,191,189,188,183,179,170,160,146,114,97,189,211,206,204,202,201,202,201,200,201,199,197,197,184,158,168,167,156,189,181,182,181,167,158,147,117,84,149,212,208,206,206,204,204,203,201,201,201,200,199,197,185,159,165,164,159,185,175,170,163,151,138,117,89,113,205,210,208,208,209,207,206,204,202,202,203,201,200,200,186,161,164,161,154,177,167,160,144,127,108,86,96,190,211,209,209,208,208,207,206,206,205,203,204,201,201,201,181,163,165,160,153,159,150,140,121,99,84,100,181,213,210,210,210,210,210,209,208,206,205,203,203,203,202,198,172,165,165,160,151,142,131,124,110,90,122,190,213,211,210,210,210,210,210,210,209,208,207,206,205,204,204,187,166,168,168,164,154
15,114,122,129,133,138,144,151,157,162,167,170,174,177,181,184,188,190,193,195,197,198,199,200,200,201,202,202,202,115,124,131,134,139,146,153,159,164,168,172,175,179,182,186,189,192,194,196,198,199,200,201,202,202,203,203,203,116,125,132,136,140,147,155,161,166,170,173,176,180,184,187,190,193,196,198,200,201,201,202,203,203,205,204,204,117,126,134,137,141,149,156,162,167,171,174,178,181,184,188,191,195,197,199,201,202,203,203,204,205,206,206,206,119,127,135,138,143,150,158,163,169,173,176,180,183,186,189,193,196,198,200,201,203,204,205,206,207,207,208,208,121,129,136,139,145,152,158,165,170,174,177,181,184,188,192,195,198,200,201,202,204,206,206,207,208,208,208,209,123,131,137,140,146,154,160,166,171,175,178,180,184,188,191,195,198,199,200,200,203,206,207,208,209,209,209,210,124,132,138,141,147,155,160,164,168,170,168,163,159,162,167,172,177,178,173,168,168,178,190,199,205,208,211,211,125,133,140,145,149,153,153,151,150,150,145,139,137,137,138,140,148,155,150,144,133,128,135,145,159,174,188,197,126,134,142,146,144,144,137,126,123,119,113,118,128,130,126,123,138,153,152,147,135,124,118,111,105,108,119,134,128,136,140,132,120,113,102,92,94,95,94,99,106,105,99,100,124,138,139,134,127,126,128,119,105,95,92,98,130,137,141,139,132,123,119,125,137,147,153,152,149,143,130,115,121,123,122,112,114,125,139,130,115,102,96,101,130,136,141,146,151,156,161,168,174,178,183,186,188,189,173,148,132,113,103,93,111,136,150,140,127,114,108,112,130,136,141,146,153,161,167,172,177,180,185,188,191,186,168,156,127,85,75,69,118,159,160,144,136,126,118,117,130,136,140,145,153,160,167,172,176,180,184,188,188,178,162,141,109,60,50,54,128,172,164,143,136,127,118,112,131,137,140,146,153,160,167,172,176,180,184,188,184,175,165,129,81,47,44,49,128,174,161,138,123,113,105,98,132,138,141,146,154,161,168,172,176,180,184,188,184,170,168,142,83,51,53,66,133,165,154,127,105,94,85,82,132,138,142,147,155,162,168,172,177,181,185,189,191,182,173,160,117,84,100,127,146,149,139,111,88,78,73,75,132,138,142,147,155,162,168,173,178,182,186,190,193,193,181,167,150,134,134,136,130,119,104,88,78,74,78,84,132,137,141,147,155,162,168,173,178,182,186,190,193,192,175,158,153,136,113,105,93,79,84,118,128,130,142,155,128,132,136,143,150,157,163,169,174,179,183,187,188,174,147,130,126,112,88,73,61,51,70,149,200,205,209,212,106,110,113,117,122,126,131,135,139,144,148,153,164,155,126,103,90,85,71,57,52,51,62,119,190,200,203,205,93,94,95,98,100,101,101,102,103,105,107,110,127,130,100,79,73,81,85,74,73,83,85,103,133,140,143,146,95,96,98,100,101,101,101,102,104,105,106,107,111,108,91,89,95,103,105,103,102,106,106,106,109,110,110,111,96,97,98,100,101,102,102,103,104,105,106,107,107,106,106,110,111,111,110,110,110,110,110,110,111,111,111,112,97,98,100,101,102,102,103,104,104,104,105,106,107,107,109,111,112,113,111,110,109,109,111,112,112,113,113,114,97,98,101,102,103,103,104,105,105,106,106,107,108,108,108,108,109,111,110,109,109,110,111,112,112,113,114,115,96,97,100,102,103,104,104,105,106,106,107,107,108,109,109,108,108,109,110,110,110,110,111,112,111,112,113,114
2,177,178,179,179,178,179,179,179,178,178,177,173,179,175,176,176,174,174,173,170,170,169,168,166,165,165,162,161,180,181,181,181,181,180,180,180,180,180,176,189,193,132,153,181,177,177,176,173,174,173,171,169,168,167,165,163,183,183,184,185,184,184,183,183,180,179,206,200,144,101,104,162,169,130,171,180,175,175,174,173,172,170,167,167,185,185,185,186,187,186,186,183,188,214,209,134,103,95,105,132,137,96,147,179,176,176,175,174,173,173,169,168,186,187,186,186,188,187,185,196,233,217,158,106,101,94,86,96,98,94,88,146,187,177,178,176,174,174,172,171,188,188,187,188,188,189,183,223,224,156,113,93,95,98,92,71,89,103,91,92,145,187,179,178,176,175,173,172,188,189,190,191,192,187,199,235,182,110,88,74,78,86,87,88,90,91,89,79,142,187,178,180,178,177,175,174,191,192,191,193,193,190,229,215,148,108,93,83,71,90,110,115,93,107,119,151,185,182,181,181,180,180,178,175,193,194,194,195,189,216,228,168,116,93,97,95,86,103,100,104,155,182,188,190,186,185,183,182,182,181,179,178,194,195,196,192,207,235,213,149,107,84,94,91,100,93,123,180,195,192,190,188,188,187,186,184,183,183,180,179,196,196,195,196,231,233,196,143,115,104,89,93,103,133,205,195,193,194,193,192,190,189,187,186,186,183,181,181,198,199,195,209,235,221,173,132,113,113,100,97,99,160,205,194,195,195,195,193,192,191,188,188,187,185,184,183,200,202,196,225,235,211,158,121,111,110,107,95,114,197,200,198,194,196,195,194,194,193,191,189,188,188,186,185,202,198,209,235,231,195,147,120,108,106,108,99,162,209,199,199,198,196,196,196,195,193,192,192,190,188,188,187,203,200,228,235,223,176,133,116,111,105,104,107,195,204,201,201,200,198,197,197,195,195,193,193,192,190,189,188,202,212,235,234,208,162,124,113,111,111,99,130,213,201,203,202,201,201,200,199,197,196,197,196,193,192,190,189,202,227,235,230,192,144,116,111,108,109,84,155,217,203,205,204,203,201,201,201,201,197,193,187,194,196,192,191,214,235,235,218,169,128,115,107,101,97,84,117,210,210,203,205,203,203,203,203,190,172,167,156,132,189,195,193,230,235,231,196,157,132,119,103,91,91,98,90,128,203,214,208,208,207,205,179,172,166,149,118,132,193,197,194,232,233,221,184,159,137,118,94,86,98,97,106,108,119,164,193,183,173,175,167,178,149,125,167,201,199,196,194,234,235,225,185,156,133,111,92,94,110,114,128,137,125,118,146,153,166,174,177,166,122,182,210,200,199,199,198,175,184,193,174,151,126,107,97,104,120,134,138,147,146,137,162,165,170,165,146,118,153,211,201,202,201,199,199,69,69,62,63,78,75,76,89,111,127,136,143,149,151,139,154,142,136,143,157,178,206,206,205,204,202,200,199,77,67,47,43,51,46,38,43,74,123,134,140,146,139,116,122,153,187,204,214,213,207,206,206,205,203,202,201,72,61,46,49,55,46,40,34,30,63,129,135,125,121,156,195,217,217,213,210,211,211,209,207,206,206,204,202,66,58,49,50,49,42,36,31,34,28,74,124,150,201,221,218,213,213,213,213,210,210,209,208,207,207,205,204,61,57,49,50,47,39,33,30,35,26,65,205,221,218,214,214,216,217,215,214,213,211,211,209,208,207,206,204,61,55,48,48,45,38,32,31,38,22,161,234,212,216,216,217,217,216,215,215,214,213,213,213,210,208,208,206
21,102,112,126,141,150,158,163,168,171,173,176,183,184,187,189,191,192,195,197,197,197,198,199,199,199,199,199,199,104,114,129,143,152,160,166,167,174,201,140,150,192,187,191,194,195,196,197,199,201,201,201,201,201,201,201,200,105,113,132,146,155,162,167,168,182,215,128,128,196,188,194,196,197,198,198,201,201,202,203,203,203,203,203,203,107,114,133,147,156,162,168,171,182,212,140,123,194,191,195,198,199,199,200,202,206,206,205,205,205,205,205,204,110,116,134,150,157,164,170,173,182,206,145,119,190,194,196,197,201,202,204,200,170,198,209,207,207,207,206,206,111,120,137,149,160,166,170,175,182,208,159,119,186,197,197,201,203,202,208,183,119,171,217,208,210,210,209,209,112,122,140,151,161,168,173,177,182,206,167,119,177,201,199,203,205,209,204,164,122,200,215,210,211,212,211,211,114,124,141,153,162,170,176,180,179,206,169,120,159,206,200,204,205,215,191,139,147,221,210,212,212,212,212,211,113,124,143,154,162,170,176,180,180,217,177,123,151,207,201,203,210,209,175,127,193,219,213,214,214,214,213,213,115,126,147,156,163,170,176,181,181,226,186,134,152,208,201,205,209,189,148,143,220,213,216,216,216,215,215,214,116,129,147,156,165,171,176,180,181,212,173,132,144,210,202,211,208,181,120,183,222,215,217,217,217,217,217,216,117,130,148,157,166,171,182,198,163,183,150,119,139,211,202,209,206,157,135,219,216,217,218,218,218,218,218,218,118,132,149,159,167,165,208,237,163,143,122,107,135,194,193,201,190,122,182,225,217,219,219,219,219,219,219,219,119,134,151,160,168,168,200,209,158,116,101,108,143,182,189,184,143,129,220,217,218,220,220,220,220,221,219,219,119,136,152,161,163,196,219,168,150,122,89,98,129,164,169,152,110,178,226,217,219,220,220,220,221,221,221,220,120,138,152,160,168,242,213,196,170,157,105,91,119,138,152,131,123,217,218,220,220,222,222,222,222,221,221,221,122,139,154,158,190,212,205,226,214,175,121,95,110,121,136,110,164,226,217,221,221,222,222,222,222,222,222,222,124,142,155,157,207,192,199,222,220,151,111,102,101,115,116,100,195,224,220,222,222,223,222,222,223,223,222,222,125,142,153,162,220,182,163,144,174,145,119,108,102,101,107,103,199,225,220,223,224,224,225,225,224,224,223,222,126,144,153,172,215,159,146,144,158,157,129,108,101,102,103,99,195,227,221,224,225,225,227,227,226,225,225,224,127,146,151,183,220,184,179,153,154,191,137,118,110,104,100,100,201,227,223,225,225,225,227,227,227,226,226,225,130,147,150,187,217,199,176,150,220,235,154,140,122,100,99,102,208,225,223,225,226,226,226,227,227,226,226,226,130,147,150,187,230,201,164,173,246,213,164,142,126,100,96,117,219,223,224,226,227,227,227,228,228,227,227,227,132,148,152,184,224,179,169,182,228,183,153,132,126,107,92,137,227,221,224,226,227,227,227,228,229,229,228,227,133,148,156,177,208,174,184,175,215,177,162,129,118,107,88,157,230,221,225,226,227,228,229,229,229,229,228,228,134,147,155,171,191,192,201,174,216,178,162,148,110,103,91,171,231,221,226,228,229,229,230,230,230,230,229,229,133,144,156,164,191,213,184,169,214,169,145,134,108,99,96,193,225,221,225,227,226,227,228,229,229,229,229,229,132,143,155,162,184,209,185,160,188,154,126,113,102,93,102,205,221,220,223,224,225,226,228,228,229,229,229,229
12,156,158,161,163,165,167,169,171,173,175,176,177,178,178,179,180,180,180,180,180,181,182,181,181,182,183,183,182,157,159,162,164,167,169,171,173,175,177,178,179,179,180,181,181,181,182,182,181,182,183,182,182,183,184,184,184,159,161,164,166,169,171,173,175,177,179,179,180,182,182,182,183,183,184,184,184,184,184,184,184,186,186,186,186,161,163,165,168,170,173,175,177,179,180,181,182,184,183,184,185,186,184,183,185,186,186,186,187,188,188,187,187,162,165,167,170,172,174,177,179,181,182,183,185,180,169,170,183,188,177,161,163,183,187,189,189,189,189,189,189,164,166,169,171,173,175,178,181,182,183,186,195,187,163,146,167,193,179,148,128,166,181,182,187,190,190,190,190,166,168,171,173,176,178,180,182,184,185,190,210,206,180,147,143,190,182,152,122,128,145,147,154,182,192,192,192,167,169,172,174,177,180,182,184,186,187,194,214,216,194,157,137,187,188,157,123,95,125,132,115,149,191,194,194,169,171,173,176,179,181,183,186,187,189,196,203,209,202,170,143,181,191,155,114,89,134,136,100,116,184,195,196,171,173,175,178,180,182,184,187,188,191,192,169,158,182,170,138,165,178,143,104,89,139,139,97,105,180,197,197,173,174,177,179,181,184,186,188,192,201,191,148,119,139,151,124,149,162,135,103,89,135,137,101,104,180,199,199,174,176,178,180,183,186,188,191,201,204,190,152,120,110,129,113,137,156,130,99,91,139,138,104,108,182,200,200,175,177,179,182,184,186,189,196,198,187,188,162,127,96,105,108,127,154,134,99,102,157,152,111,117,188,202,201,176,178,180,183,185,187,190,198,188,166,177,161,126,91,88,114,126,160,148,108,119,182,167,116,132,195,203,202,176,178,181,184,187,189,193,200,187,160,159,156,125,87,74,105,108,138,141,105,112,164,142,97,121,187,203,203,177,179,182,185,188,190,195,199,181,153,148,155,120,85,55,64,64,92,134,123,131,148,121,97,98,153,200,203,178,180,183,186,189,191,198,202,182,152,139,147,113,85,51,45,62,120,171,174,169,160,134,108,93,128,196,204,179,181,184,187,190,192,201,203,182,152,129,134,112,90,56,61,109,169,191,186,171,154,129,104,92,135,199,205,179,181,184,187,190,192,201,203,185,161,134,121,113,99,74,98,161,196,201,188,163,145,122,98,94,155,205,207,180,183,185,188,190,192,202,204,190,172,153,131,114,106,110,144,194,207,207,184,154,135,114,94,102,174,208,208,181,183,186,189,191,194,202,206,196,180,166,154,135,126,139,164,203,211,204,175,145,126,106,92,122,191,209,209,182,184,186,189,192,194,201,205,198,185,174,167,154,138,141,163,204,209,192,165,137,117,99,94,151,204,210,209,183,185,188,190,192,194,198,200,196,188,178,169,158,142,137,163,202,202,177,153,128,108,93,102,176,208,210,210,183,186,189,192,193,195,197,197,195,190,179,170,159,143,134,161,190,187,161,138,118,100,89,121,194,210,210,211,183,186,189,192,193,195,198,197,197,192,179,170,158,142,131,156,176,166,144,124,108,94,94,152,206,211,212,212,184,186,188,191,192,194,196,198,199,190,175,163,151,134,127,151,160,144,128,111,99,91,116,185,210,212,212,212,184,186,188,190,193,194,195,197,199,184,166,153,136,123,126,146,149,132,119,103,94,100,155,202,210,211,212,212,184,186,187,190,193,195,194,196,200,182,164,149,129,121,128,145,144,127,113,99,92,121,187,208,209,210,212,212
12,110,114,118,125,137,149,155,161,166,170,171,173,176,177,181,183,186,188,188,190,191,193,194,194,195,195,195,195,111,115,120,125,139,151,156,162,167,170,172,174,176,180,182,183,186,189,191,190,193,194,194,195,196,196,197,197,112,115,121,126,139,151,158,164,168,170,173,176,179,180,184,189,187,191,185,194,194,196,196,196,197,199,199,199,112,117,123,128,142,152,159,165,168,171,175,177,178,193,163,162,197,200,153,148,199,193,199,200,198,201,200,201,113,117,123,130,144,154,160,165,169,173,178,172,200,212,171,138,178,204,164,124,153,162,147,194,203,201,201,201,114,118,125,131,145,156,161,167,171,175,179,172,221,220,183,152,160,205,177,148,121,160,129,147,206,202,203,203,114,119,126,132,147,157,162,167,172,176,179,180,224,236,200,157,157,210,176,149,115,152,150,116,189,208,203,204,114,121,127,135,149,158,163,169,173,178,174,189,210,221,213,157,148,216,177,143,111,151,145,117,192,208,206,206,117,122,127,136,150,158,165,170,173,170,181,195,198,187,192,148,128,188,167,133,112,154,138,125,202,209,207,207,116,121,128,138,151,158,164,170,172,213,231,171,131,136,173,133,114,160,139,121,116,148,128,142,214,207,208,208,117,123,127,140,153,159,166,164,198,248,204,157,137,111,159,144,110,146,142,121,117,142,123,151,216,208,209,209,118,123,129,141,152,159,168,167,220,197,187,167,150,114,142,172,113,145,174,131,127,173,137,158,219,208,210,211,119,124,130,142,154,160,165,176,221,177,170,179,153,130,95,119,90,114,152,124,133,179,148,112,179,218,210,212,118,124,130,144,155,161,162,185,220,183,156,172,147,136,90,78,106,137,136,136,162,150,127,116,135,216,212,213,120,125,131,145,156,161,163,187,233,194,165,147,136,122,85,98,149,186,190,182,175,152,146,133,145,217,212,213,121,125,133,148,156,164,163,193,233,195,178,145,122,123,110,138,187,205,202,189,172,148,141,125,174,220,212,214,122,126,133,149,158,164,163,196,229,201,182,152,139,159,153,190,212,211,204,181,160,146,130,124,202,216,214,215,122,127,134,150,156,165,166,191,221,196,177,155,155,160,158,209,209,210,201,170,151,143,123,149,219,213,215,215,122,127,135,150,156,165,169,183,217,192,175,160,157,150,168,201,201,207,187,160,145,137,122,189,219,213,216,215,122,127,137,151,157,165,171,178,213,190,179,173,161,162,185,197,202,195,172,154,140,127,139,216,216,215,216,217,123,128,137,152,159,167,172,174,202,195,188,185,172,166,184,191,191,173,154,143,136,121,174,221,215,217,218,218,124,128,139,153,160,166,172,173,192,203,187,178,167,154,160,176,174,159,142,136,129,137,211,216,215,216,219,218,124,128,140,153,158,166,172,176,186,211,181,172,160,148,149,157,152,145,135,136,122,180,221,215,217,218,219,218,125,128,142,154,158,167,172,177,181,214,195,170,151,145,153,150,151,146,135,127,142,215,214,216,218,219,219,219,124,129,143,154,160,168,173,179,180,213,209,176,163,162,165,149,151,146,132,116,177,221,214,218,219,219,220,220,125,131,144,154,160,167,174,176,191,226,219,184,176,169,166,147,143,135,128,108,186,221,216,218,219,220,221,221,124,130,145,155,161,170,170,194,220,208,236,192,184,169,162,146,135,126,125,106,189,222,215,219,219,220,221,221,125,130,146,155,162,170,173,224,233,189,208,193,183,165,158,141,126,126,123,109,197,220,216,219,220,220,221,221
1,102,88,76,70,70,57,37,65,89,103,117,123,126,133,138,141,145,148,150,153,155,157,159,161,163,164,164,165,103,87,78,71,72,55,39,69,91,106,125,129,113,127,137,141,146,150,152,154,157,159,161,163,165,165,166,166,103,88,81,73,75,52,43,73,97,113,130,137,105,114,130,128,144,151,154,156,158,161,163,166,167,167,168,168,104,88,84,74,77,49,47,78,112,130,121,138,112,112,128,108,131,152,156,158,160,163,166,168,168,169,169,169,103,90,85,76,79,46,51,81,121,139,116,137,122,115,135,106,115,151,158,160,163,166,168,169,170,171,171,171,102,90,86,77,79,43,55,84,122,144,118,137,133,119,140,117,107,146,159,162,165,168,169,171,172,172,172,173,101,92,87,80,78,42,59,88,122,148,121,140,149,125,137,127,105,138,160,164,167,169,171,172,173,174,174,174,100,94,87,82,75,41,70,104,122,153,130,140,153,128,139,142,110,127,160,166,168,170,172,174,175,175,175,175,99,96,87,84,72,41,91,128,122,155,138,133,149,129,138,151,118,118,158,166,168,171,173,175,176,176,177,177,98,97,87,87,68,43,99,132,118,151,139,126,148,132,131,150,124,114,155,168,170,172,175,176,177,177,178,178,98,98,86,89,63,45,101,133,114,146,141,121,149,138,126,151,131,112,152,169,171,173,176,177,177,178,179,180,100,99,86,91,59,46,102,140,117,144,146,116,141,142,122,151,136,110,146,169,172,174,176,177,178,180,181,181,101,101,87,93,54,48,102,147,122,136,150,114,123,137,113,140,137,108,139,169,173,175,177,178,179,180,181,181,104,102,88,93,50,50,97,143,121,123,147,118,117,134,121,140,136,104,127,168,173,175,177,178,179,180,181,181,106,102,89,92,47,53,92,141,128,115,141,134,129,133,139,145,122,95,113,163,174,176,177,179,180,180,181,180,108,101,91,90,43,55,90,141,135,117,139,144,133,128,142,145,113,84,98,154,174,176,178,179,180,181,181,181,110,101,93,88,41,58,90,140,141,137,141,144,143,140,158,159,120,82,83,141,173,176,178,180,181,182,182,182,112,101,96,85,40,60,91,143,153,148,134,133,138,142,157,156,128,95,78,125,171,177,179,180,182,182,183,183,116,102,100,84,39,62,93,149,159,140,122,119,127,135,145,149,142,116,87,109,165,177,180,181,181,182,183,183,119,102,104,80,39,63,90,144,154,129,113,118,126,141,158,160,157,139,106,101,156,176,178,179,180,181,181,182,120,102,106,75,38,62,84,131,149,126,112,119,129,147,169,173,165,151,120,104,153,174,176,177,178,179,180,182,119,101,108,69,37,62,79,113,145,132,116,116,132,149,171,178,164,146,117,106,153,172,174,176,177,178,185,198,119,100,110,72,49,69,81,101,137,138,122,116,130,147,169,175,159,137,108,100,149,169,171,173,174,174,182,199,118,101,113,95,77,85,91,99,125,142,131,120,124,142,163,169,153,131,102,93,132,147,149,151,155,160,160,163,117,102,116,102,71,69,72,74,93,130,136,128,124,135,155,160,143,123,97,83,94,99,101,104,127,151,153,149,115,103,118,100,69,66,68,70,76,103,131,134,128,128,141,146,132,114,91,80,85,87,88,103,141,155,151,145,113,103,118,98,68,66,68,69,71,80,114,135,131,123,123,129,119,103,86,80,84,85,90,125,156,156,149,143,109,101,118,95,66,64,66,68,69,72,97,131,129,117,112,114,108,95,81,80,83,83,96,142,160,154,145,140
10,81,89,102,120,127,134,138,140,141,144,145,146,146,148,148,148,147,146,146,144,145,144,140,139,138,138,135,132,82,90,103,121,129,136,139,141,143,145,147,148,148,149,149,150,150,149,147,148,134,133,145,141,140,138,137,134,82,91,105,122,131,137,140,143,144,147,149,150,151,151,151,151,152,152,149,155,121,93,148,143,143,140,138,136,84,92,106,124,132,137,142,144,145,148,151,151,152,153,154,153,153,153,151,157,125,85,143,146,144,143,140,138,86,93,108,124,133,139,144,146,147,149,152,153,154,155,156,156,156,155,153,158,122,82,140,150,146,145,143,141,86,94,109,126,134,141,146,147,149,151,153,154,156,156,157,158,158,157,156,159,122,81,141,153,149,148,146,143,88,95,110,127,135,142,147,148,149,153,156,156,157,158,158,160,159,159,157,163,129,83,140,155,150,150,147,145,89,96,111,128,136,143,147,148,150,155,158,157,158,160,160,162,161,160,159,164,124,79,140,156,151,150,148,146,89,96,112,128,137,143,147,149,151,156,158,158,160,161,161,162,164,163,164,148,95,75,143,158,153,152,150,147,90,97,113,129,137,144,148,150,153,157,159,161,161,162,162,163,160,151,167,133,71,81,150,159,155,153,151,148,91,98,114,129,138,144,149,151,153,157,160,161,162,163,166,168,157,128,119,110,73,70,157,157,156,154,151,149,91,99,115,129,138,145,150,152,154,159,161,162,163,163,151,158,167,151,112,72,75,64,142,161,156,155,152,151,92,100,117,130,139,146,150,152,156,160,162,164,167,161,123,100,100,125,85,63,78,61,111,169,156,156,154,152,92,100,118,130,139,146,150,153,156,160,163,161,154,166,140,107,44,50,50,86,90,58,102,169,157,157,155,153,93,101,118,130,140,147,151,154,157,159,165,153,116,126,157,120,63,47,50,106,125,68,95,169,158,158,156,154,93,101,119,131,140,147,152,155,158,160,166,160,143,108,142,128,84,46,55,107,142,83,85,168,160,159,157,155,93,101,119,131,141,147,153,155,158,162,165,144,150,122,115,127,89,44,67,126,140,92,71,160,162,159,157,155,94,101,119,131,141,147,152,155,159,161,169,143,119,112,81,118,99,62,95,140,126,89,68,158,163,160,158,156,94,101,120,132,141,147,153,155,159,162,166,148,115,102,86,110,133,91,111,143,103,73,78,167,164,161,158,156,94,102,121,132,141,148,154,156,159,163,164,165,141,104,98,99,130,91,112,132,97,60,92,172,161,161,159,157,93,103,121,131,141,149,155,156,159,163,162,167,152,125,104,92,131,132,129,116,94,54,106,175,162,161,161,159,92,102,121,131,140,148,153,154,158,162,163,159,151,135,118,105,143,159,131,106,89,52,122,174,162,160,158,157,91,100,119,129,139,147,152,154,157,161,165,152,144,137,127,114,137,150,123,98,80,50,140,169,161,159,157,156,90,99,119,128,138,146,151,153,158,161,164,162,144,141,132,115,127,139,114,89,65,59,161,163,161,160,157,156,87,96,116,125,136,144,150,152,156,160,162,166,152,137,126,111,111,121,101,81,51,98,173,162,161,159,158,157,98,107,124,133,142,149,154,156,159,162,165,167,167,143,120,108,104,112,105,80,52,138,168,159,159,156,154,152,120,123,126,126,121,120,120,119,119,118,118,114,125,151,126,123,115,113,108,76,58,94,98,95,94,94,93,86,92,91,91,91,91,91,92,92,93,92,92,90,99,155,140,135,119,112,97,73,58,81,83,81,80,74,48,32
1,154,156,156,157,157,159,161,160,162,162,162,160,144,157,161,160,159,158,157,157,156,156,155,152,151,150,149,148,157,159,159,160,162,163,163,164,165,168,171,165,116,102,170,163,166,163,162,162,161,160,159,158,157,157,154,151,161,163,163,164,166,166,166,169,169,155,149,177,137,51,83,107,168,169,166,167,165,164,163,161,160,159,159,156,164,166,167,167,169,170,171,171,174,146,72,160,154,39,60,80,113,183,166,169,167,167,165,165,163,160,161,159,166,169,170,170,171,173,175,175,174,166,74,127,160,49,71,109,54,179,173,173,172,170,169,167,167,165,163,163,168,171,173,175,176,176,176,179,176,178,89,92,168,76,84,125,44,156,182,174,174,173,174,173,169,168,167,168,172,174,174,176,177,178,179,167,164,186,110,69,146,76,94,146,59,131,189,175,177,176,176,175,174,173,171,169,175,176,176,177,178,181,184,144,93,185,129,49,128,79,81,144,67,117,195,178,181,179,177,177,177,176,175,170,176,178,179,180,181,183,185,162,70,162,134,41,136,109,47,147,88,104,196,179,182,180,180,180,179,178,177,176,178,180,182,183,184,183,188,166,73,144,159,56,109,122,44,143,124,94,198,181,184,183,181,183,182,182,179,178,179,182,183,184,185,185,190,172,77,131,172,62,60,104,91,139,94,77,187,188,187,186,184,184,185,184,183,182,181,186,187,185,188,187,189,176,93,87,162,63,65,95,96,122,68,65,68,110,200,185,186,185,185,183,183,183,185,186,188,188,191,191,187,185,111,58,139,92,98,87,99,114,104,76,38,45,174,194,188,188,186,184,184,185,185,187,189,190,192,194,189,182,129,102,118,89,101,87,122,151,103,49,94,80,108,204,187,190,189,186,186,184,187,190,191,193,193,194,195,189,152,115,104,82,96,100,128,140,110,109,170,133,77,184,194,191,190,190,188,187,188,191,194,193,195,195,196,196,159,110,87,79,92,104,138,147,151,142,125,147,70,123,207,189,191,190,189,190,190,191,194,193,196,197,195,200,173,118,73,80,96,110,155,158,183,180,139,104,48,52,201,193,192,191,190,190,191,193,195,196,197,200,195,198,198,140,82,84,100,132,154,164,176,168,137,100,41,34,190,198,195,192,191,192,191,193,197,199,196,200,199,195,208,171,112,79,103,142,161,180,184,165,136,109,36,68,206,195,197,194,194,194,193,195,198,201,201,202,204,190,210,198,148,95,96,131,171,193,187,168,153,106,27,115,216,196,199,198,197,194,194,195,199,201,203,204,206,190,205,208,170,118,106,127,172,199,190,182,150,88,25,160,210,198,200,199,198,194,195,199,200,202,203,202,205,196,190,202,187,133,119,125,166,187,201,181,129,65,41,197,203,201,201,201,200,196,196,201,200,202,203,202,204,205,173,187,189,147,119,118,154,180,181,148,97,35,78,219,203,202,202,201,201,199,194,198,199,201,202,202,203,208,181,165,172,150,129,120,130,149,137,95,53,23,158,214,202,202,202,201,201,200,195,199,199,201,202,203,203,205,202,158,160,152,136,130,104,107,113,75,21,95,215,203,204,202,202,201,200,197,196,200,200,200,202,203,205,205,209,176,168,149,128,124,91,90,96,53,24,182,211,204,203,202,202,201,199,197,197,199,200,201,202,203,204,205,209,181,170,137,118,120,101,91,74,28,63,213,203,205,204,203,203,203,202,198,197,199,201,202,202,203,203,205,212,178,181,167,143,142,115,100,63,18,91,219,204,207,207,205,204,203,202,199
2,149,151,153,154,154,154,154,154,154,153,151,151,151,150,150,148,147,146,145,146,146,145,141,143,125,15,4,18,152,153,154,155,155,155,155,155,155,155,154,153,154,151,151,150,150,149,147,146,146,145,142,149,106,2,10,28,154,154,156,158,156,156,157,157,157,156,156,156,153,151,152,149,141,148,150,151,147,146,146,148,123,28,18,25,155,156,158,157,159,159,158,158,158,157,156,154,155,159,160,125,59,80,118,77,147,151,147,144,150,57,23,27,156,158,160,160,161,160,161,160,159,158,160,170,165,145,100,63,30,20,53,20,99,155,147,146,153,73,10,9,157,158,162,162,162,162,163,163,160,167,179,177,117,56,35,23,13,16,22,24,12,112,158,146,155,110,3,0,158,160,162,163,163,163,164,165,161,174,176,129,59,4,10,14,0,5,12,17,0,104,162,150,150,152,21,0,160,163,163,164,165,165,166,165,167,196,131,44,24,3,0,8,12,6,18,37,91,154,152,153,150,155,83,34,161,163,164,164,166,168,168,161,180,191,94,23,19,18,8,13,5,83,143,154,163,155,155,154,152,155,107,91,163,164,165,166,168,170,169,162,198,170,82,29,17,21,8,26,106,163,163,157,155,156,158,156,151,163,54,90,164,164,166,169,170,170,167,175,197,139,59,10,9,10,7,84,181,159,162,160,158,159,158,156,154,161,66,126,166,165,168,170,171,171,166,191,190,126,67,28,25,9,4,95,175,162,163,162,161,160,157,156,156,159,119,102,168,170,171,171,173,171,173,207,180,114,61,38,33,27,4,128,174,164,165,163,161,161,160,158,157,157,156,117,170,172,173,173,173,170,189,210,159,96,49,32,29,30,30,155,171,165,166,164,163,163,162,160,159,158,155,142,170,172,173,174,174,168,205,201,144,85,39,28,27,28,32,159,171,167,166,165,164,164,163,161,160,159,158,147,172,172,173,176,173,173,217,193,135,77,38,29,31,31,40,166,170,168,167,166,165,164,163,162,163,160,157,154,171,173,175,177,170,192,216,175,122,69,36,30,34,23,41,178,170,169,170,169,165,165,167,167,164,163,164,158,172,174,178,177,171,214,206,158,109,59,31,28,23,23,11,113,184,167,169,171,172,166,147,131,116,105,113,155,175,177,178,171,183,218,192,143,94,53,32,19,17,22,26,26,170,183,176,167,137,112,112,108,104,90,36,101,177,178,179,168,201,211,176,127,85,51,29,8,14,21,30,14,76,146,132,108,106,110,120,104,72,73,75,126,176,180,173,176,214,202,168,118,76,47,22,3,22,30,32,37,25,46,84,111,127,116,79,46,87,152,165,163,175,177,164,204,214,194,156,114,71,39,15,9,39,46,56,56,56,64,93,112,93,57,32,103,173,165,161,161,178,163,188,216,206,186,148,106,62,38,13,23,49,57,68,64,63,69,76,58,55,98,143,172,163,162,162,159,164,178,216,204,192,174,141,96,54,38,16,37,55,60,66,63,53,38,36,93,156,176,172,166,164,164,161,160,169,200,203,197,185,164,130,80,48,38,25,52,63,65,56,46,22,45,132,179,175,169,169,170,166,164,162,161,196,192,191,184,164,137,106,61,44,31,33,52,59,59,34,23,110,171,179,171,172,170,170,170,167,165,163,161,190,188,176,154,128,110,72,44,31,29,39,43,49,27,23,129,186,175,171,173,172,171,170,169,167,165,164,164,192,182,158,128,106,94,53,29,27,34,31,31,26,52,149,184,171,173,173,174,173,171,171,170,168,165,165,164
24,163,170,177,183,186,189,192,195,196,197,199,200,200,200,201,201,200,198,198,198,197,196,195,195,194,193,190,188,165,172,180,184,186,190,193,195,197,199,202,202,202,203,203,202,200,201,201,200,198,198,195,196,195,194,191,190,167,175,180,183,192,192,195,197,198,201,203,204,204,203,204,204,202,202,204,201,200,199,198,197,195,193,192,191,169,172,194,212,169,196,197,200,201,203,204,204,205,204,206,205,204,203,203,202,202,202,200,200,197,194,194,192,173,169,219,238,134,200,199,201,202,204,206,208,207,206,208,208,206,204,204,203,203,203,201,200,198,195,195,195,174,171,223,230,127,198,202,203,205,207,209,211,211,211,210,209,208,207,207,204,204,204,203,201,200,199,196,195,177,173,222,238,124,188,206,204,208,209,210,212,213,213,211,210,210,210,208,207,207,205,204,202,201,200,198,197,178,175,215,248,137,183,208,205,208,212,211,212,213,213,213,213,213,212,210,209,208,207,206,205,203,202,201,200,179,180,209,252,142,170,214,207,212,211,214,215,213,215,218,215,215,213,212,211,209,209,208,206,205,204,202,200,179,181,204,255,168,146,212,211,211,222,217,209,232,226,201,218,214,214,215,212,211,209,207,206,207,206,205,203,180,186,201,255,205,147,252,225,191,255,220,154,248,246,156,181,228,217,217,215,214,215,213,213,208,206,205,203,181,188,198,255,213,188,255,224,201,255,224,157,240,229,172,131,216,223,219,218,215,206,198,192,210,207,206,204,184,192,195,255,240,232,255,224,200,255,214,172,255,213,159,107,183,231,218,219,189,159,134,107,183,215,207,206,186,195,195,255,255,250,255,235,179,255,200,178,255,205,130,90,172,226,218,212,160,120,126,157,200,214,210,209,187,193,205,255,255,245,255,241,168,255,203,183,247,191,97,60,163,230,216,182,132,155,215,223,216,212,212,210,189,190,219,252,219,226,255,238,161,248,210,183,243,162,75,114,185,221,170,134,145,226,223,218,217,215,213,211,191,192,229,255,200,192,237,223,152,253,200,185,236,145,187,222,205,173,123,129,216,227,222,222,222,220,216,214,192,189,237,255,222,176,224,217,169,255,172,168,241,228,244,211,176,153,115,207,234,225,225,224,223,222,219,215,191,188,240,255,239,165,215,230,210,253,154,205,255,238,216,201,156,127,182,239,226,225,225,224,223,221,218,215,192,190,239,255,242,183,204,220,203,227,241,255,255,227,209,182,133,145,236,230,229,227,226,224,222,220,219,215,193,191,239,255,252,217,195,229,255,255,255,255,238,223,199,150,121,207,238,231,231,230,229,227,224,222,221,218,192,193,225,255,255,227,212,243,255,255,255,252,223,197,174,125,181,241,232,233,232,233,229,229,227,223,223,220,191,198,209,255,255,232,223,253,255,255,255,244,205,171,138,158,241,234,234,232,232,231,226,227,226,223,223,221,194,202,213,255,254,232,226,254,255,255,240,215,186,150,142,234,246,242,243,241,239,238,235,234,231,234,229,219,158,157,166,255,244,241,236,248,255,254,217,182,162,133,143,168,160,160,159,158,158,158,158,158,158,144,149,188,127,123,116,248,255,250,246,252,255,240,192,162,146,125,118,113,111,111,109,107,106,107,108,97,91,140,207,222,135,137,120,248,255,254,255,254,247,224,178,151,134,125,127,127,127,125,123,122,120,121,119,139,213,252,227,195,135,137,117,238,255,255,255,245,229,217,181,140,124,125,124,126,126,123,123,123,123,115,161,252,252,212,209,178
24,197,200,201,203,203,204,204,204,205,204,205,205,205,206,205,205,206,205,205,204,203,203,201,204,123,36,23,28,201,203,204,205,205,207,207,207,208,208,208,209,209,209,208,208,209,208,209,207,205,204,206,186,98,45,38,32,204,205,207,208,208,210,210,211,210,211,212,212,211,211,212,210,211,211,211,211,209,207,210,189,79,44,51,62,206,207,210,211,211,212,213,213,213,213,214,214,214,214,214,214,213,213,213,212,212,211,211,204,98,47,70,65,208,210,211,212,213,214,216,215,217,216,216,217,216,216,217,219,218,217,217,216,214,213,209,219,152,48,69,46,210,211,212,215,215,217,218,218,218,218,219,219,219,219,220,220,220,220,220,219,217,217,215,215,200,78,56,39,212,214,215,217,218,219,220,221,219,219,220,220,221,221,221,221,221,222,221,221,220,219,218,215,227,123,46,36,214,216,218,218,217,214,224,221,221,222,222,222,223,224,224,224,225,224,224,224,222,220,220,217,226,177,39,35,216,217,220,220,224,168,206,227,223,225,224,225,225,225,225,225,226,226,226,227,225,223,223,221,223,208,134,132,217,218,221,221,224,158,162,236,223,226,225,227,227,226,227,227,227,228,227,226,226,225,224,223,224,212,157,210,218,220,223,224,228,181,120,222,228,226,227,226,226,228,227,228,228,227,227,231,228,226,227,225,227,209,179,228,219,221,224,225,226,205,129,175,238,224,227,227,228,230,234,230,231,235,232,207,223,230,226,227,226,223,206,172,220,222,225,226,227,224,174,124,224,231,228,228,231,222,210,235,222,198,242,183,152,226,229,227,227,225,205,143,220,224,225,226,227,230,207,142,158,236,231,226,240,225,171,216,221,136,187,217,120,201,238,227,225,217,177,146,222,226,226,227,228,230,221,195,151,186,237,224,253,248,211,171,211,157,165,228,133,202,239,225,236,211,144,115,221,225,226,226,227,229,228,209,176,164,211,232,228,254,240,159,184,192,156,218,155,200,240,227,242,166,121,186,220,223,225,225,227,228,228,224,201,211,197,210,203,224,250,181,144,197,155,226,156,176,212,227,218,117,188,241,221,224,226,227,227,227,230,227,241,228,203,182,171,169,233,204,125,161,171,223,177,116,184,220,163,143,235,222,221,224,227,227,227,228,231,230,241,242,188,168,145,130,185,215,122,149,188,199,209,126,201,186,135,212,231,225,221,224,226,226,227,228,231,232,232,247,244,195,144,151,160,202,150,143,214,146,172,195,197,144,145,236,227,227,228,231,233,233,234,234,235,237,235,246,254,244,195,142,156,187,179,126,215,152,219,214,182,122,189,237,227,227,178,183,186,191,195,200,204,209,209,225,255,253,250,181,143,187,218,184,211,230,233,180,157,144,241,240,234,230,111,111,112,114,114,115,117,118,115,136,255,245,251,220,167,155,221,255,255,255,207,169,141,131,165,165,188,208,120,121,122,121,120,120,121,121,122,110,209,247,251,243,192,163,174,249,255,226,189,157,125,136,164,199,224,238,120,119,119,119,121,122,121,122,123,117,141,247,255,245,204,171,163,222,240,204,182,131,138,243,245,236,238,248,119,118,118,118,120,121,121,123,123,126,110,211,243,212,180,158,163,193,211,185,152,117,178,211,218,235,227,234,118,120,119,118,119,119,120,122,122,125,110,180,241,191,185,174,170,183,194,171,124,134,227,192,182,207,219,219,116,117,118,120,120,120,120,122,121,122,113,162,243,216,212,195,182,185,191,159,109,148,223,208,152,172,203,216
15,93,98,102,106,73,61,64,67,53,6,70,79,4,0,2,25,26,32,37,43,50,67,78,84,92,97,102,106,94,99,103,105,71,65,65,72,44,13,75,81,0,0,9,24,27,32,38,45,51,68,79,84,93,98,102,106,95,101,106,104,70,70,68,77,32,24,79,76,0,0,13,23,28,32,39,45,52,70,79,84,93,98,103,108,98,102,107,100,68,67,66,82,23,36,82,73,0,0,16,22,27,34,39,45,55,70,77,85,93,98,104,109,100,105,107,99,96,85,73,73,24,46,81,63,0,0,19,22,29,33,40,47,56,73,79,87,95,100,105,109,99,106,109,102,91,93,91,83,75,70,74,55,0,0,24,24,27,32,40,45,57,74,81,88,95,101,105,109,101,106,112,93,68,63,49,67,73,76,79,85,85,73,68,62,55,49,45,45,60,78,81,90,97,101,107,111,103,108,113,90,74,69,41,39,49,42,56,87,79,79,77,80,90,90,68,53,51,57,83,89,98,102,108,112,104,109,113,88,78,78,84,59,15,47,34,63,67,62,57,64,89,107,93,67,58,24,50,94,97,103,107,112,105,109,112,86,78,78,88,53,16,91,83,15,26,59,42,68,102,105,94,83,78,45,20,76,102,104,108,113,107,112,113,82,80,80,92,43,22,90,96,0,0,15,50,113,101,106,109,105,96,70,39,32,99,105,109,113,107,112,113,82,84,79,96,45,36,91,91,0,0,23,70,128,70,103,116,122,117,81,47,20,53,111,108,113,109,114,108,84,85,95,85,66,72,69,70,0,26,100,87,53,58,106,118,127,115,80,53,37,16,85,116,113,110,116,106,83,91,99,75,81,97,93,65,45,66,67,55,14,47,138,110,94,96,82,65,43,20,32,114,114,111,117,103,83,94,80,47,64,95,98,65,49,63,59,61,68,84,87,63,65,82,83,62,41,31,9,70,123,111,118,101,88,94,93,64,42,79,80,51,56,69,66,72,84,85,61,37,44,65,65,51,37,31,18,18,103,113,118,100,93,95,96,88,17,82,50,33,50,59,63,71,84,73,48,34,35,46,48,49,46,36,28,13,34,113,119,99,95,95,101,73,20,106,33,6,19,36,41,60,73,70,49,35,38,42,42,49,53,41,35,25,11,114,119,98,97,95,106,63,55,59,15,4,0,44,58,31,54,55,45,42,45,44,44,48,50,41,34,28,18,115,117,97,99,96,101,97,44,13,6,0,0,104,112,26,47,48,42,47,54,56,54,51,45,42,38,30,22,115,116,98,102,96,110,89,18,0,29,0,0,63,114,55,50,82,72,79,81,70,58,51,41,39,42,38,25,117,114,96,104,101,108,42,4,36,98,0,0,11,70,86,35,48,85,80,77,69,54,45,38,38,40,42,34,120,112,96,107,102,117,24,53,115,98,0,0,21,26,47,28,9,54,72,61,58,48,42,41,42,44,44,40,120,113,100,111,107,120,18,86,122,93,0,0,25,30,26,29,32,49,89,58,45,45,41,45,51,50,42,38,120,109,104,112,112,117,12,91,126,84,0,0,28,28,29,32,37,36,73,102,66,34,35,36,43,51,50,41,118,107,107,113,114,109,12,103,127,69,0,0,28,26,27,30,35,40,40,95,119,80,52,33,36,50,63,48,117,108,112,115,119,99,19,112,131,53,0,0,31,25,26,28,35,39,45,63,111,81,60,72,69,75,67,56,119,112,115,115,123,87,21,117,133,38,0,0,31,23,26,29,34,38,46,62,72,67,83,94,83,87,84,78
21,111,113,118,125,129,134,137,141,143,145,148,150,151,151,150,151,151,150,148,148,147,146,145,143,142,142,139,137,112,115,120,126,133,136,139,142,144,147,151,151,152,152,151,153,149,150,153,149,149,148,147,145,143,144,141,139,115,117,122,129,134,138,142,144,147,150,151,154,154,154,155,153,167,141,127,155,150,149,150,148,145,145,144,141,116,119,124,131,136,140,143,146,149,151,154,156,156,157,158,151,190,147,90,160,151,151,150,149,149,147,145,143,118,120,126,133,138,142,146,149,151,152,155,157,158,158,158,151,192,144,86,157,153,152,151,152,144,147,147,145,119,122,127,134,140,143,145,150,152,154,156,159,160,158,159,154,200,144,84,156,155,155,152,178,114,124,154,147,121,124,129,136,142,145,148,151,153,155,158,159,159,159,160,156,207,152,92,155,158,155,161,184,90,123,155,148,122,125,132,139,143,147,151,151,155,158,160,161,160,161,163,158,213,153,100,156,161,152,177,169,84,137,155,150,122,125,133,140,143,149,151,154,158,160,162,163,163,163,163,162,214,145,103,156,162,156,193,149,89,147,153,151,124,126,134,141,145,150,153,157,158,161,162,165,165,163,161,172,225,150,105,154,162,164,206,140,101,158,154,153,125,129,136,142,147,151,154,159,159,162,165,167,163,182,176,155,212,170,111,156,159,184,204,124,114,163,155,154,127,130,136,144,148,153,157,159,162,164,166,164,170,232,197,137,116,156,114,160,162,210,188,105,126,165,157,156,128,131,139,146,150,155,159,160,163,164,172,198,160,194,219,155,78,96,117,161,182,214,162,93,145,164,158,158,128,132,140,148,154,158,162,164,167,161,203,235,172,126,206,153,78,69,114,165,193,194,134,103,164,160,159,158,129,134,142,150,155,159,162,165,169,166,220,242,207,112,155,164,85,59,87,137,166,171,110,128,170,161,160,160,131,136,143,150,157,160,165,167,169,176,217,203,215,106,123,199,134,72,61,95,125,130,99,160,168,164,162,160,132,137,146,152,157,161,166,170,169,185,227,192,200,143,95,201,186,114,59,80,113,93,108,175,166,166,165,162,132,138,148,153,158,163,166,172,167,207,237,188,170,164,83,154,195,154,87,56,91,77,118,177,167,168,167,164,133,138,147,155,160,165,168,174,168,221,221,163,136,116,101,111,186,187,137,67,65,70,134,178,170,169,168,166,135,139,149,157,162,166,169,175,171,226,221,162,126,128,137,141,182,214,175,109,62,69,158,177,172,171,169,168,135,141,150,157,163,167,172,176,174,230,221,161,124,145,152,202,207,213,200,146,81,82,177,175,174,175,172,169,134,141,151,158,163,168,173,177,176,230,221,164,129,158,171,226,216,205,191,165,107,97,185,176,176,175,173,170,133,140,150,156,162,167,173,177,176,231,225,160,145,159,188,236,224,206,170,148,107,100,185,177,176,175,173,171,134,140,150,158,165,168,174,179,177,229,227,159,173,155,209,244,225,199,171,118,82,107,187,178,177,175,174,172,134,141,152,159,166,170,174,181,179,224,223,175,194,154,214,246,221,195,164,109,72,131,190,179,179,177,175,172,135,142,151,158,164,170,175,181,176,214,223,201,200,153,206,240,207,181,141,102,78,161,186,180,179,177,175,173,133,141,151,160,167,172,177,183,181,205,230,214,198,151,194,225,183,154,119,88,97,189,185,184,183,182,180,174,127,132,138,141,146,148,151,156,154,172,228,209,189,147,169,207,161,129,108,84,104,154,149,148,146,146,142,153
18,171,172,173,173,173,174,175,175,175,175,175,174,173,172,172,171,170,170,169,169,167,165,166,164,162,161,160,159,172,173,174,174,175,177,177,177,177,178,177,175,173,173,172,171,172,172,171,169,168,167,166,165,163,163,161,160,173,174,175,175,176,178,178,178,178,178,178,178,177,178,180,176,174,176,177,176,169,169,169,167,164,162,161,160,174,175,176,177,179,179,179,180,180,180,179,178,180,167,143,168,180,152,125,143,177,171,160,168,169,164,163,162,174,176,179,179,180,180,181,182,182,182,183,184,183,149,104,97,147,140,104,71,141,145,109,101,154,169,165,165,176,177,180,180,180,182,183,182,183,177,147,149,179,155,124,92,100,172,113,92,74,115,110,72,90,176,165,166,177,179,180,182,181,182,183,182,187,177,136,117,122,167,133,105,86,161,121,104,97,93,104,90,58,152,171,164,180,181,181,183,183,184,184,185,188,183,161,145,109,127,153,109,82,115,135,118,112,103,121,105,56,144,175,166,181,181,182,183,184,186,187,187,186,169,176,144,128,89,136,118,90,87,139,128,116,115,114,98,56,149,175,169,181,181,182,183,184,186,187,187,195,145,142,147,116,64,108,126,89,71,123,116,112,111,112,100,54,137,179,169,181,182,183,185,186,187,187,191,186,123,95,147,89,54,90,101,70,58,105,79,94,142,135,106,61,120,183,170,181,183,185,186,188,188,187,193,182,144,112,136,90,58,80,80,60,51,80,60,72,164,142,116,70,100,184,171,183,185,185,186,188,189,187,194,189,167,129,120,108,68,77,91,66,48,79,63,51,138,151,125,84,78,181,173,185,185,187,187,188,189,188,194,189,156,125,100,88,56,79,99,62,48,71,105,144,144,168,138,95,60,167,177,185,186,188,189,189,190,189,195,174,137,115,95,73,59,62,67,55,62,100,160,167,153,148,135,93,54,154,182,186,187,188,189,189,192,191,194,186,162,136,111,86,82,76,74,97,127,161,172,162,157,131,113,83,53,161,180,187,187,188,189,190,193,192,194,191,170,143,112,86,82,89,107,133,157,179,177,157,140,121,93,64,73,182,177,187,188,188,190,192,193,193,194,192,175,150,121,101,93,93,104,151,173,184,173,146,130,112,86,45,117,189,175,188,189,190,191,193,193,194,194,190,179,156,132,111,103,96,116,170,179,178,163,139,120,105,76,49,164,184,178,188,190,191,191,194,193,195,193,186,176,154,133,119,110,103,125,179,173,167,155,135,113,98,60,78,189,180,180,188,191,191,192,193,193,195,193,179,167,156,137,123,122,109,132,173,169,157,140,127,107,89,46,122,193,179,180,189,191,192,193,193,195,195,196,180,168,159,142,131,132,114,138,165,164,152,128,115,98,75,48,167,186,180,180,191,192,193,195,196,197,197,199,189,166,158,150,138,130,111,134,161,155,145,123,101,88,52,87,194,180,182,182,191,192,193,195,196,196,198,199,195,173,165,156,143,128,110,119,150,144,130,110,90,75,41,154,192,184,183,182,191,193,195,196,196,197,198,199,199,185,170,158,147,136,122,116,134,135,118,99,83,49,82,196,185,185,184,183,191,192,195,197,196,198,198,198,197,193,179,162,145,133,124,117,127,128,111,93,71,39,156,194,186,185,184,183,193,194,195,196,197,199,198,198,197,195,183,158,144,141,138,133,123,121,105,88,52,89,198,186,187,187,186,184,194,195,196,196,197,198,198,200,195,194,182,162,157,154,141,132,117,116,97,77,47,147,197,188,188,187,186,185
16,211,212,211,212,213,213,215,215,215,216,215,214,215,216,216,216,216,216,216,217,217,215,216,217,217,215,216,216,212,214,214,215,215,215,215,216,217,217,215,216,216,216,216,218,217,217,218,220,220,218,218,219,219,218,218,217,214,214,215,216,217,216,216,217,219,220,218,219,218,218,219,217,219,219,220,222,221,220,220,220,220,221,221,218,214,215,216,216,217,218,217,219,220,219,220,220,221,220,219,222,225,226,222,220,220,220,222,221,222,222,221,220,215,215,217,218,219,219,218,219,220,220,223,223,222,221,218,198,197,196,219,231,221,222,221,222,222,222,221,220,215,216,216,219,220,219,220,219,221,220,218,209,205,225,238,178,153,141,124,181,232,229,220,223,222,223,223,221,215,216,217,218,220,222,222,222,222,222,213,183,197,244,238,202,177,159,115,73,121,205,233,222,223,224,223,222,215,216,218,220,221,223,220,211,200,249,232,195,219,246,225,210,195,160,106,98,67,80,165,234,221,223,224,222,217,217,219,220,223,219,235,207,207,238,228,205,224,247,206,197,184,150,87,104,84,76,64,151,235,223,225,224,219,219,220,222,223,219,253,223,214,227,226,222,214,231,189,188,170,133,82,90,77,83,81,58,153,239,222,227,221,220,221,223,221,222,233,222,205,228,235,227,219,225,194,184,158,113,80,76,70,79,81,77,53,189,237,226,219,219,220,221,225,229,219,230,222,215,238,229,223,239,212,187,147,100,74,62,64,77,77,77,59,111,239,226,218,217,219,217,236,225,218,233,241,218,228,227,225,236,218,181,130,90,60,44,68,82,81,75,65,79,227,228,217,219,220,219,228,229,224,223,237,219,230,236,234,232,216,166,111,80,32,40,68,85,89,92,65,95,234,225,219,220,221,222,221,231,237,227,240,232,190,247,243,229,218,157,96,45,1,42,63,77,99,92,68,108,239,224,220,219,221,222,222,231,240,243,205,223,196,233,242,232,220,147,80,5,0,29,49,73,108,82,67,118,237,224,220,220,221,223,224,222,224,254,166,179,226,220,235,240,213,137,70,5,0,9,38,85,117,77,61,155,240,226,220,221,222,222,223,222,207,223,250,213,204,220,239,244,204,133,63,27,9,0,47,115,117,78,63,181,240,229,221,222,223,224,223,224,212,192,227,223,211,217,243,244,197,125,60,50,53,27,77,150,134,85,58,179,240,228,209,212,214,216,219,223,228,210,211,213,199,187,233,242,192,111,62,64,64,42,108,181,172,113,55,191,240,226,110,116,120,122,127,134,137,140,143,144,109,113,218,243,190,98,68,73,74,62,124,184,192,151,68,171,235,246,93,92,93,91,89,91,89,87,87,89,91,81,213,251,191,94,99,86,79,78,133,181,199,191,105,160,255,255,99,101,102,99,97,100,100,100,100,100,107,82,196,255,184,103,164,110,96,78,114,169,192,206,140,175,255,255,96,97,98,98,98,98,100,99,100,100,104,86,163,254,177,116,206,134,116,100,78,137,184,178,131,111,255,248,97,97,96,100,100,100,100,99,101,103,107,87,150,255,164,139,234,165,139,123,94,77,138,148,101,144,218,222,96,97,95,96,98,100,100,98,102,102,106,87,146,255,116,197,242,189,159,144,112,76,74,88,91,230,165,190,96,96,95,96,98,98,98,99,101,101,102,97,114,144,175,249,237,204,176,158,123,85,73,65,83,255,215,165,95,97,95,98,98,96,97,101,102,100,101,103,95,102,239,251,243,212,184,167,137,92,74,69,86,255,253,218
11,141,144,146,150,152,155,156,158,158,159,159,159,158,159,159,159,158,158,157,155,155,153,153,151,149,146,145,145,143,145,149,152,153,156,158,159,160,160,160,161,160,161,161,160,159,159,158,158,156,155,153,152,151,149,148,148,145,148,151,153,155,158,160,162,164,163,163,163,167,141,153,163,160,160,159,158,157,157,156,154,153,151,151,128,148,151,153,157,158,161,162,164,165,166,166,162,185,134,122,168,163,163,162,160,159,160,157,155,154,154,150,70,151,155,156,159,162,164,165,167,168,168,168,164,195,142,106,170,165,165,165,163,162,161,159,158,156,159,118,43,153,158,159,162,165,167,167,169,171,172,170,167,205,133,103,173,168,167,166,165,164,164,161,159,159,160,85,46,155,158,161,166,168,170,171,172,174,176,172,178,222,125,116,176,170,170,169,167,166,164,164,163,164,157,70,51,158,163,166,168,170,172,173,174,176,166,181,173,198,119,129,179,173,173,172,170,169,168,167,167,166,163,95,63,160,165,168,170,173,175,174,197,185,114,161,141,99,135,103,162,179,175,175,173,172,170,170,169,167,170,118,65,163,166,169,172,175,175,196,219,195,150,96,117,84,104,89,137,184,177,176,176,175,172,173,173,171,172,143,63,165,169,172,175,176,192,229,182,184,176,107,92,88,113,96,141,185,180,179,178,177,177,175,174,173,173,169,85,167,171,174,175,184,224,202,141,134,172,106,83,82,115,98,146,187,182,181,181,180,180,177,176,175,173,174,128,169,172,175,175,210,224,170,132,144,157,78,88,82,108,93,157,190,186,184,183,182,181,180,179,177,175,176,152,171,174,178,177,223,213,153,107,122,127,72,90,78,102,85,175,190,187,186,185,185,183,181,180,180,178,177,146,172,176,179,177,227,217,171,120,79,79,91,75,85,101,94,190,190,189,188,187,188,186,184,183,182,180,179,168,173,176,180,182,236,216,164,109,72,57,101,67,110,103,72,174,196,191,192,191,185,177,171,170,179,184,180,178,174,178,181,189,243,214,161,116,81,62,75,61,111,96,57,96,182,188,174,151,138,129,124,112,106,154,185,180,177,181,182,196,242,210,164,127,92,73,76,79,97,99,95,94,104,118,123,136,140,124,104,97,85,124,188,182,178,183,184,195,237,207,165,130,99,78,82,119,143,144,133,121,106,113,126,125,107,94,121,164,175,179,185,183,180,184,186,198,237,210,173,137,105,84,93,141,143,133,127,122,105,95,94,104,141,167,192,195,192,188,186,184,182,186,187,204,235,214,182,140,116,94,107,137,136,127,113,105,86,82,133,189,198,197,195,193,192,190,187,185,183,188,185,219,236,215,180,138,118,101,108,121,125,116,97,83,107,172,203,200,197,196,196,194,193,191,188,187,185,186,192,236,228,200,163,127,108,101,108,108,112,105,82,134,199,205,202,201,199,198,197,195,195,193,190,188,186,188,227,237,216,187,150,121,104,104,107,97,93,88,145,208,205,203,202,202,201,199,198,196,195,194,192,190,183,199,240,227,201,178,145,124,109,103,98,83,116,180,210,207,204,203,202,202,201,200,199,198,195,194,193,191,182,214,238,220,176,147,136,121,106,95,78,110,200,212,209,207,206,205,204,204,202,200,200,199,198,196,194,192,186,226,236,212,155,124,118,111,94,83,90,188,212,209,209,208,207,206,204,204,204,202,201,199,199,197,194,193,200,234,233,199,133,117,111,101,85,76,158,216,213,212,211,210,208,207,206,205,204,203,202,201,199,198,196,194
18,173,176,178,178,180,181,183,185,185,185,187,189,190,190,191,193,192,193,194,195,195,195,196,194,194,194,194,194,174,176,179,180,181,182,184,185,186,187,188,189,190,191,192,194,195,194,193,194,196,196,197,197,196,196,195,195,175,177,179,181,183,184,184,186,186,188,189,189,189,191,192,196,198,194,194,195,194,195,198,198,198,196,195,195,176,177,181,182,183,184,184,187,188,189,190,190,192,192,193,183,178,200,194,197,197,196,199,198,198,198,197,197,176,178,183,182,182,184,185,186,188,190,191,193,196,192,204,180,133,167,201,196,197,200,197,196,198,198,199,199,176,178,182,182,183,183,186,187,188,190,193,185,171,191,197,191,138,96,178,200,179,168,193,200,198,199,198,198,176,177,181,182,184,184,188,190,190,193,206,187,148,151,202,176,153,109,123,162,154,138,141,207,198,200,199,199,176,178,181,183,183,184,187,186,180,207,208,187,155,133,217,192,179,146,110,116,140,136,100,187,203,199,200,198,177,179,182,184,184,183,200,190,146,186,210,181,152,151,215,214,197,154,115,101,125,125,92,159,210,199,200,199,178,180,182,185,182,197,219,190,142,172,211,181,142,168,206,208,194,155,111,90,106,117,88,161,210,199,201,201,180,181,182,184,182,205,221,191,143,160,211,185,132,182,206,207,190,152,110,81,94,104,88,177,208,200,201,201,180,182,183,184,185,196,211,193,147,149,211,182,121,149,192,214,187,146,106,81,87,90,101,194,205,200,202,201,180,182,185,181,192,208,193,191,156,133,191,170,119,83,162,221,179,141,100,84,81,81,126,210,201,203,203,204,179,182,184,186,198,190,171,162,149,101,141,141,107,44,178,223,177,134,97,85,86,84,141,212,199,203,203,205,181,182,181,196,210,176,163,136,118,90,114,128,78,92,222,208,173,136,101,79,86,84,155,213,202,205,204,205,182,184,182,197,218,189,167,143,139,92,114,129,146,208,222,199,167,136,104,88,91,94,190,208,204,205,205,205,182,185,179,209,215,186,167,148,140,121,126,178,234,209,195,190,162,127,100,92,81,117,212,202,204,204,204,204,184,183,183,222,208,186,168,151,149,150,169,234,228,202,176,176,152,116,97,95,90,177,209,203,203,203,203,201,184,181,193,227,202,186,177,160,157,152,215,237,221,194,163,163,142,105,100,90,160,211,202,205,204,204,203,202,184,180,201,227,201,194,186,160,162,193,234,227,209,186,156,149,132,102,89,134,212,203,205,205,205,205,204,204,185,181,203,227,205,199,190,162,182,221,223,218,202,172,148,139,121,95,100,198,206,204,204,205,205,205,205,205,185,183,197,224,208,202,190,171,194,220,213,200,197,161,142,129,111,85,157,212,204,205,205,206,205,205,206,205,186,183,195,224,210,201,187,184,194,216,200,193,175,158,130,121,99,106,206,204,205,205,206,207,207,205,204,205,186,182,200,220,203,193,184,188,192,206,187,189,161,152,121,113,85,149,216,203,206,206,206,207,208,206,204,204,185,181,206,206,190,187,181,187,196,195,176,188,171,136,117,105,89,188,208,204,205,206,206,207,207,207,206,205,186,182,207,188,181,185,182,185,196,188,176,187,170,130,112,90,128,214,202,206,206,206,206,207,207,206,205,206,185,183,216,200,190,192,194,193,200,181,172,177,154,124,103,98,193,208,206,207,207,207,207,207,208,206,205,207,183,185,225,210,192,196,202,197,204,166,164,164,138,116,90,164,214,205,206,207,207,208,208,208,208,207,207,207
23,201,203,204,205,206,207,209,210,210,211,211,212,212,213,214,214,215,215,214,214,214,213,213,213,212,212,212,213,202,204,206,207,208,209,212,213,212,213,213,215,216,218,218,217,215,214,215,215,215,215,214,215,215,215,215,215,203,206,208,209,210,210,213,213,214,215,215,216,218,217,216,217,224,236,241,227,210,211,219,215,215,217,217,217,204,206,209,210,210,211,213,216,216,216,216,218,217,224,231,244,253,252,241,228,218,208,199,165,211,218,218,218,207,208,209,210,211,212,214,216,217,216,218,216,226,255,255,237,233,230,195,169,174,168,152,175,221,219,220,219,207,208,210,211,213,214,214,216,218,218,220,213,239,255,238,206,205,172,164,200,193,188,204,224,220,220,221,221,208,209,211,213,214,215,217,218,219,220,221,214,251,255,231,178,155,183,217,227,227,228,225,222,221,221,222,222,209,211,213,215,215,218,220,219,220,221,221,220,255,255,235,186,191,231,228,242,231,211,225,222,223,223,223,223,210,213,214,215,218,219,219,220,222,224,219,230,255,253,243,169,202,254,255,255,243,174,229,232,226,224,226,225,211,213,215,217,218,218,220,222,224,227,217,242,255,248,244,211,255,255,255,252,217,160,164,189,228,228,227,226,212,214,216,218,219,219,222,223,225,226,220,255,255,247,255,255,255,255,245,233,224,233,174,124,203,232,225,227,214,216,218,219,220,223,225,226,227,223,228,255,255,255,255,255,255,253,252,253,253,250,204,135,170,239,226,230,215,217,220,221,222,224,225,227,226,229,255,255,255,255,252,255,255,255,255,247,231,218,182,138,136,205,233,228,216,218,220,222,222,224,226,228,224,255,255,255,255,255,251,247,250,251,243,233,222,228,199,134,129,163,239,230,218,219,221,223,224,226,227,228,224,255,255,255,255,255,243,242,247,247,243,234,230,233,208,142,122,177,241,231,220,221,222,224,225,227,228,231,228,255,255,255,255,255,255,255,246,240,233,222,220,213,182,144,128,211,240,233,220,221,223,226,226,227,230,232,227,250,255,255,255,255,254,255,228,205,204,198,187,181,176,143,152,237,236,234,221,222,225,227,228,229,231,233,228,246,255,255,255,255,252,247,216,176,151,136,148,182,175,139,185,245,235,235,223,225,227,228,230,230,232,234,229,244,255,255,255,255,250,232,209,186,145,74,131,183,172,139,214,243,237,237,224,225,227,229,231,232,233,235,233,242,255,255,255,255,247,255,244,173,108,107,157,174,151,146,235,239,238,240,225,227,229,231,232,233,234,235,235,241,255,255,255,255,254,255,228,174,114,127,158,145,132,175,248,238,239,240,226,227,230,232,233,233,235,235,236,239,255,255,255,255,255,254,217,183,139,116,129,139,135,191,250,237,240,240,226,228,230,232,234,235,236,237,238,238,255,255,255,255,255,255,219,180,151,111,132,148,136,207,251,240,241,241,227,228,231,233,234,235,237,238,239,238,255,255,255,255,255,253,220,182,160,128,140,152,141,227,246,242,243,244,227,229,232,233,234,236,238,239,240,239,255,255,255,255,255,250,222,186,161,138,148,150,155,246,241,244,244,245,228,229,232,233,235,236,238,240,241,239,255,255,255,255,255,241,215,182,161,144,149,139,187,255,242,244,245,245,230,231,232,234,236,237,240,240,242,240,255,255,255,255,244,229,206,175,162,152,146,145,238,249,244,246,246,246,231,233,233,235,238,240,241,241,244,241,255,255,255,253,232,214,189,172,165,159,137,185,255,243,246,246,247,247
22,145,152,156,160,167,172,178,182,185,188,190,191,193,194,195,195,193,192,193,192,191,190,190,189,188,187,185,184,147,154,158,162,169,176,179,182,185,188,191,192,195,196,196,197,196,195,195,193,193,192,190,190,190,189,187,186,149,157,159,163,171,178,181,184,188,189,192,195,196,197,196,194,197,197,195,196,194,192,194,191,191,190,188,188,150,157,159,165,173,178,182,187,187,188,193,196,196,198,198,236,155,184,200,194,202,202,176,195,192,191,190,189,151,158,162,166,174,180,184,187,192,241,155,188,202,198,204,250,135,170,206,191,227,197,140,200,193,192,191,191,154,159,161,168,176,182,186,188,196,253,146,179,206,198,212,239,141,169,208,194,236,170,145,203,193,194,193,192,155,160,162,170,177,184,188,191,191,247,170,167,210,198,218,246,152,172,208,205,236,157,150,206,195,195,194,193,155,161,166,172,179,184,189,194,190,255,204,158,212,200,222,246,158,175,206,222,245,151,165,207,198,197,197,194,156,163,167,174,181,187,189,196,189,251,232,156,208,202,226,236,158,173,207,243,238,147,180,206,199,199,198,196,157,165,168,174,181,188,192,199,191,242,249,153,196,205,232,240,161,168,216,255,214,134,190,207,201,200,199,198,159,166,170,176,182,190,195,200,193,230,255,189,178,209,238,249,164,169,242,255,188,128,203,206,203,202,200,198,161,167,171,178,185,191,197,196,215,232,202,195,168,213,238,240,153,188,255,245,164,148,213,206,204,203,202,200,162,167,172,180,188,193,200,195,255,255,226,189,133,199,226,220,204,233,255,231,140,178,216,206,206,205,204,202,163,169,173,182,190,195,200,203,255,255,255,205,124,128,194,211,235,229,219,188,136,208,214,210,209,207,205,204,164,170,174,183,191,197,201,212,255,245,234,242,190,140,136,169,206,209,198,140,152,221,212,213,211,209,207,205,164,170,175,185,193,198,200,215,255,242,214,255,255,198,130,114,166,194,183,124,164,224,213,214,212,212,209,207,165,171,175,185,194,200,198,229,255,227,199,199,255,239,183,119,117,162,173,129,180,225,215,215,215,214,212,209,166,172,176,186,196,202,199,242,255,223,177,146,202,251,230,175,113,116,139,122,203,224,218,218,217,216,214,211,166,172,176,186,194,203,200,253,255,227,167,192,176,240,255,225,168,110,105,125,219,222,220,219,217,217,215,213,167,171,176,186,194,202,200,254,255,230,162,204,202,255,255,243,206,154,105,134,229,220,220,219,217,216,214,213,167,171,176,187,196,202,201,252,255,219,176,205,231,255,255,241,220,164,100,145,234,219,221,222,219,217,215,214,166,172,177,188,197,205,202,249,255,207,197,199,255,255,255,235,195,149,100,159,234,222,223,222,221,219,217,215,165,171,177,187,196,205,203,243,255,208,215,197,255,255,255,238,174,130,106,181,232,223,223,219,218,217,215,214,167,172,179,188,198,207,208,240,255,221,226,198,255,255,255,224,165,123,112,214,237,231,230,227,227,225,223,224,148,152,155,159,161,165,161,188,255,243,235,209,255,255,243,201,151,124,117,162,164,162,162,161,161,163,155,146,125,125,126,127,125,124,121,136,255,252,234,202,255,244,207,174,140,125,118,113,111,110,110,108,109,96,105,168,134,134,135,136,134,135,134,141,255,236,217,195,219,220,181,160,147,130,120,125,124,123,121,124,121,151,231,241,134,135,135,134,133,134,133,131,231,211,194,185,189,203,190,162,150,132,123,125,123,123,122,116,172,250,237,205
13,193,195,198,199,199,200,202,204,205,205,206,206,207,208,207,207,208,207,207,207,207,207,207,207,207,206,205,204,194,196,199,200,200,203,205,207,207,207,208,208,209,210,209,209,209,208,208,208,207,207,207,208,206,207,208,207,196,198,201,201,204,206,206,207,208,208,209,210,211,212,211,212,212,211,210,212,208,208,209,209,209,209,210,209,198,200,201,203,204,206,208,208,209,210,210,211,213,214,212,213,212,217,218,206,214,209,211,211,211,212,211,210,201,201,203,205,206,207,209,211,210,211,212,212,213,213,213,213,214,248,231,173,187,220,206,213,214,213,213,212,201,204,205,207,207,209,211,212,213,213,213,214,212,216,215,211,227,252,219,160,183,241,178,163,215,214,214,213,203,205,207,208,208,210,213,213,214,214,215,213,217,249,226,199,244,243,230,153,201,231,180,119,182,221,213,214,203,206,209,209,211,212,214,215,215,217,216,210,235,255,242,203,210,208,186,117,205,227,170,112,159,227,214,216,204,208,210,210,213,214,215,215,216,218,218,229,222,250,251,227,167,115,121,109,200,190,126,97,166,227,216,218,206,208,210,212,215,215,216,217,218,215,238,255,210,197,255,236,190,111,104,145,210,179,138,107,171,228,219,220,208,210,211,213,216,216,217,220,217,223,255,255,239,174,226,238,187,135,77,115,219,238,234,150,174,230,219,222,209,211,213,214,216,219,220,222,216,242,254,255,254,204,166,216,175,128,84,140,218,229,227,185,181,230,222,224,210,213,216,216,217,221,222,221,220,255,242,242,245,209,133,185,204,132,138,246,242,220,201,189,161,225,224,225,210,213,216,217,219,222,223,220,236,255,245,223,212,172,111,160,223,166,229,255,243,222,193,172,149,223,228,225,212,214,217,219,220,221,224,221,240,255,250,226,199,171,126,101,202,240,255,247,240,215,186,148,167,232,226,226,214,216,219,221,221,221,225,223,237,255,252,227,189,186,154,129,247,255,255,248,229,196,174,138,188,235,227,226,215,217,220,222,222,222,225,223,243,255,255,236,221,196,219,236,255,255,254,244,216,192,167,132,199,236,228,228,215,218,221,223,224,225,227,224,245,255,255,246,241,222,232,243,255,252,245,238,211,184,148,131,218,234,229,230,217,220,222,224,224,227,230,225,241,255,255,252,243,230,229,234,255,246,233,232,209,163,128,164,239,230,232,231,218,221,223,225,227,227,229,228,235,255,255,255,244,227,231,236,246,231,222,218,182,137,124,220,238,232,233,233,221,223,224,226,228,229,234,229,226,250,245,233,216,209,226,231,246,232,219,198,153,106,163,245,232,235,235,235,221,223,225,226,228,227,186,176,172,166,150,135,130,128,129,134,145,139,140,138,118,127,240,238,234,236,235,235,221,224,227,227,231,220,153,154,154,146,132,126,121,113,105,100,83,74,72,67,66,87,167,235,237,235,236,235,222,225,227,228,232,230,163,153,155,143,132,128,124,112,107,98,89,81,75,68,64,62,49,125,247,233,237,237,224,226,227,228,232,236,170,151,151,140,132,128,121,110,101,94,84,77,71,67,63,68,52,162,250,237,239,239,222,225,227,228,230,237,174,153,150,140,139,130,118,106,98,92,84,75,71,66,65,51,123,253,239,240,239,239,222,224,226,228,230,236,176,148,150,138,136,128,115,101,93,90,83,76,70,67,63,64,220,246,239,240,239,239,222,224,227,230,232,237,175,147,146,138,132,122,110,99,93,90,84,76,70,67,54,112,251,237,241,239,240,239
14,174,176,178,176,178,180,181,177,185,205,193,160,133,103,160,182,182,185,180,180,181,181,180,180,179,178,177,177,176,178,179,180,179,181,176,189,216,190,135,113,100,91,114,160,161,160,182,181,181,181,181,180,180,180,180,179,177,179,181,181,181,177,201,223,201,149,93,93,90,93,122,146,129,104,183,183,183,184,184,183,182,182,181,180,178,181,182,182,180,187,232,204,148,108,91,98,86,72,94,113,93,130,194,182,184,186,184,184,185,184,182,181,181,183,183,185,177,203,233,184,101,76,72,80,85,97,93,103,115,130,166,187,185,186,187,186,187,184,184,183,181,182,184,187,180,217,232,178,101,74,68,73,88,105,82,91,143,152,114,143,194,185,188,189,186,186,185,185,181,183,186,187,185,230,222,155,95,80,87,69,71,81,78,77,99,115,87,162,200,188,188,189,189,188,187,187,183,185,187,186,193,233,215,150,88,81,98,78,84,100,109,108,93,99,93,130,153,190,191,189,190,190,189,189,186,187,190,184,202,233,221,175,117,87,85,84,94,87,93,86,94,110,114,113,98,159,193,191,191,191,190,189,187,189,192,183,218,233,221,176,129,98,73,96,100,88,120,145,185,169,142,124,153,135,175,198,192,191,192,192,189,191,190,188,227,233,223,174,124,103,81,96,85,164,206,200,196,200,198,160,170,133,180,199,193,194,193,193,190,191,191,192,231,233,226,182,133,100,87,81,95,193,197,196,197,201,177,145,165,128,189,198,195,194,194,194,192,194,192,198,233,233,229,189,144,104,86,78,163,205,197,198,198,203,169,147,163,122,187,200,197,196,195,195,193,195,192,199,233,233,230,194,149,112,76,96,204,199,200,199,198,207,162,138,162,117,161,206,197,197,197,196,194,196,197,201,233,233,230,197,155,121,74,130,212,197,201,200,203,199,146,138,152,125,136,208,198,199,200,199,195,198,198,202,233,233,230,199,158,122,78,136,210,205,208,209,206,144,139,160,152,117,155,208,199,200,200,200,197,197,195,205,233,233,231,200,157,126,104,72,106,138,140,166,155,120,145,150,137,132,202,203,201,200,199,199,197,197,196,205,233,233,231,197,159,138,119,81,81,90,99,111,116,128,143,144,119,180,209,201,202,201,200,200,198,199,197,210,233,233,230,193,169,153,129,92,93,107,116,127,130,125,136,123,154,212,204,206,203,204,202,202,200,202,198,215,233,233,229,199,181,162,133,104,98,117,121,125,130,128,114,123,208,207,206,207,204,203,203,203,200,203,199,218,233,233,229,210,190,163,132,113,101,116,123,124,128,126,103,178,214,207,207,206,206,205,205,204,201,202,201,222,233,233,229,217,195,162,131,114,104,112,124,120,126,109,162,216,207,207,208,208,207,207,207,207,200,202,199,224,232,231,228,217,191,149,113,104,100,109,119,121,112,130,216,209,210,209,209,208,207,207,207,207,207,210,212,233,233,233,231,212,173,118,94,96,95,106,112,118,107,192,215,208,210,210,210,210,209,208,208,207,180,165,155,165,147,141,124,107,92,71,63,73,90,104,106,101,168,219,209,212,211,211,212,211,209,209,208,209,102,92,81,73,66,61,53,49,50,45,35,35,48,74,94,161,220,209,212,212,211,211,212,212,211,211,209,211,96,92,82,78,74,68,57,55,53,44,36,34,33,27,57,218,214,214,214,214,214,213,213,213,212,211,211,211,96,89,81,75,68,64,56,52,49,42,34,31,35,28,61,220,215,216,215,215,215,214,213,213,212,212,213,212
7,184,186,189,191,193,193,195,196,196,197,196,196,196,196,195,195,195,192,193,192,189,189,190,187,184,185,184,182,186,188,190,193,196,197,198,197,197,198,196,197,196,195,196,196,195,193,194,193,192,191,189,188,187,186,185,183,186,188,192,195,196,198,199,199,200,201,198,199,198,198,197,198,197,195,195,193,194,193,191,189,189,188,187,185,189,190,193,195,197,199,200,201,201,201,201,201,201,200,200,199,197,197,197,196,196,194,193,191,191,189,188,187,190,193,195,197,199,199,200,202,201,201,201,201,201,200,201,201,200,200,198,196,195,195,195,192,191,190,190,189,190,195,197,198,199,200,202,202,202,202,202,203,202,201,200,200,202,202,200,200,200,196,193,195,193,193,192,188,193,195,197,202,201,201,202,204,204,204,204,204,204,205,205,204,202,198,194,189,168,179,196,180,196,194,192,191,195,196,197,201,202,204,205,208,209,210,207,200,196,188,180,178,179,169,161,162,139,181,203,151,190,193,196,193,195,197,200,200,202,206,203,194,185,187,185,176,162,146,138,154,173,168,153,144,133,139,156,134,188,193,178,196,196,199,200,203,206,198,185,163,155,153,151,159,154,148,132,128,134,119,125,131,128,127,140,152,206,205,130,192,198,201,201,202,201,190,173,161,160,152,140,142,151,147,123,118,112,140,162,180,158,155,152,153,156,149,139,199,197,200,198,191,180,176,175,172,157,119,114,138,161,157,142,138,126,144,161,164,145,131,114,108,117,152,193,200,197,192,186,180,177,177,169,171,156,104,107,122,130,127,124,129,116,112,124,108,104,109,140,174,196,206,200,200,190,186,183,182,183,169,159,159,158,135,98,81,71,69,72,85,86,97,118,146,175,198,211,209,204,200,201,200,187,185,181,176,169,164,162,161,165,156,112,76,51,82,138,144,165,184,210,217,213,208,204,204,202,202,202,201,185,179,172,166,161,157,155,155,152,134,110,82,70,84,197,229,218,217,212,207,208,208,207,206,205,204,202,201,181,171,164,156,151,146,141,137,135,125,98,72,75,73,68,193,219,211,212,209,210,208,209,207,207,205,205,203,169,171,156,153,142,141,137,132,131,127,100,67,69,92,63,105,228,212,214,212,212,210,209,208,207,206,206,205,72,139,160,152,145,139,137,138,141,139,103,66,61,83,78,103,224,215,215,214,213,213,211,209,207,206,207,205,39,48,129,161,151,144,135,128,126,115,92,74,68,58,50,135,230,215,217,215,213,214,213,210,209,208,208,206,43,34,45,135,157,146,137,124,110,98,85,82,78,62,55,79,215,220,217,215,215,214,212,211,210,209,208,207,37,39,27,58,139,131,121,112,104,90,83,81,81,69,55,85,217,220,218,217,216,215,214,212,211,210,208,207,34,30,32,28,74,109,96,82,80,55,57,78,71,84,152,190,225,217,216,217,216,215,215,214,213,211,209,208,28,27,29,31,20,32,78,128,51,43,54,65,80,191,238,224,221,221,219,217,218,215,215,214,213,212,209,209,19,22,27,36,7,29,191,197,42,51,64,113,200,230,220,222,221,222,221,217,219,217,215,215,214,213,211,209,21,18,36,24,45,199,233,222,161,153,191,227,229,222,224,223,221,221,221,218,216,217,216,215,215,214,213,209,50,34,22,54,210,226,218,223,231,232,229,222,221,222,222,222,222,222,221,217,217,216,216,215,214,213,211,208,34,31,10,130,235,215,222,222,221,221,222,222,222,222,222,222,222,222,221,218,217,216,215,215,213,213,211,208
10,122,126,129,132,134,137,139,141,143,145,145,147,147,147,148,148,149,150,149,149,149,149,149,149,150,150,150,150,125,128,130,134,137,140,141,144,146,148,148,150,151,150,151,151,152,151,152,152,151,152,151,151,152,151,151,150,127,130,134,136,139,142,145,147,149,150,152,152,153,153,154,154,154,156,155,154,154,154,154,153,154,155,154,153,129,133,136,139,142,145,148,150,152,153,154,155,156,156,156,156,158,149,152,159,157,157,156,157,157,157,156,156,131,135,139,141,144,146,150,152,155,157,157,157,158,158,159,156,167,147,114,163,158,158,158,159,159,159,159,158,134,137,140,144,146,149,152,154,157,158,158,159,160,161,161,160,165,170,112,138,166,160,161,163,162,162,162,160,134,139,142,145,148,151,154,157,159,160,161,161,162,163,163,165,163,175,144,113,166,163,163,164,164,163,163,163,136,140,144,147,150,153,156,158,160,161,162,163,163,164,163,157,161,179,179,120,148,169,164,165,165,165,164,164,139,142,146,149,152,155,158,160,162,162,163,165,166,165,173,135,107,177,193,144,118,174,166,168,168,168,168,166,140,143,147,150,153,158,159,161,163,164,165,167,168,165,177,162,100,125,196,166,104,160,172,170,170,170,169,169,141,145,148,152,156,158,160,162,165,166,168,169,170,168,172,195,165,122,150,178,110,141,177,169,171,171,171,171,142,146,149,154,157,159,162,164,165,167,169,170,168,177,168,166,199,142,86,159,124,120,181,170,173,173,173,172,143,147,151,154,158,160,163,165,166,168,169,170,172,180,161,103,150,158,98,94,107,101,183,172,175,175,174,174,144,147,151,155,158,161,163,166,168,170,171,170,192,177,141,77,70,157,129,73,69,75,164,179,175,175,175,175,144,148,152,155,159,162,164,167,170,170,172,169,193,170,101,47,38,123,142,103,65,61,125,186,175,176,175,176,146,149,152,157,160,163,166,169,170,170,179,180,165,190,161,85,34,114,150,138,93,64,101,185,177,177,176,176,146,151,153,157,161,164,167,169,171,170,183,197,176,160,194,143,74,149,169,154,107,63,89,182,180,180,179,177,147,151,155,157,160,165,168,169,171,173,171,175,196,149,150,188,124,153,172,147,113,65,83,183,181,181,181,180,146,150,154,157,160,163,166,169,170,172,172,151,164,141,105,156,118,158,180,144,110,72,81,182,181,181,181,180,147,151,154,157,160,162,165,169,170,170,180,181,153,141,112,117,190,195,178,146,101,72,86,181,181,180,179,179,147,151,153,157,161,164,166,168,170,169,178,195,169,141,132,165,206,190,172,134,94,74,91,185,180,180,179,179,147,150,153,157,161,163,165,169,170,172,171,191,178,168,158,178,199,177,157,123,91,84,85,182,182,180,180,180,147,151,155,158,160,163,166,169,170,172,172,183,183,179,174,167,196,166,148,123,110,102,85,179,181,180,181,181,145,149,153,159,163,166,169,172,174,176,178,181,186,186,183,153,178,163,154,134,129,104,93,185,183,182,183,183,90,93,97,102,106,109,113,118,121,124,124,140,189,187,178,156,155,158,165,148,123,90,99,174,173,176,177,179,83,85,85,85,83,81,81,83,84,84,86,85,162,177,162,155,147,152,176,152,114,87,82,94,97,99,102,104,89,89,90,90,90,94,95,94,93,93,96,86,122,172,152,154,154,155,167,148,111,83,89,94,91,93,92,91,86,86,88,88,88,89,90,94,93,91,91,89,98,165,163,155,161,154,152,151,111,82,96,102,99,102,101,103
19,210,211,212,215,217,218,217,218,218,218,218,217,216,216,215,215,213,211,210,211,210,209,208,207,208,206,203,202,210,212,215,216,217,219,219,219,220,220,220,219,218,217,217,216,215,212,211,212,211,210,210,209,209,208,207,205,212,215,217,217,219,220,220,221,221,221,221,221,219,219,219,216,216,215,214,214,213,212,211,211,212,209,208,209,215,216,217,218,221,221,223,223,223,221,223,221,220,220,220,218,217,216,216,215,215,215,214,212,212,209,210,210,217,218,219,220,222,224,225,226,225,225,226,224,223,222,221,220,218,217,218,217,216,216,215,214,211,211,211,210,217,218,220,222,224,226,227,227,226,227,226,226,227,223,221,221,220,219,219,220,219,218,215,215,213,213,212,210,218,220,223,225,226,227,229,229,229,229,228,226,226,224,224,225,222,221,221,220,220,219,216,216,216,212,213,213,220,224,225,227,227,229,230,229,230,229,229,227,227,226,226,228,228,225,225,223,222,221,219,219,216,218,216,214,222,225,226,228,230,230,232,231,233,232,230,228,227,227,223,202,205,223,217,216,218,218,214,213,221,191,211,215,222,226,227,228,230,230,230,231,231,227,227,231,229,233,230,207,214,231,214,212,222,215,214,214,201,121,199,221,223,227,227,229,232,234,232,236,241,209,195,205,217,220,212,208,216,219,206,215,235,219,192,163,135,164,218,218,226,228,228,229,234,235,231,232,209,196,206,209,207,212,207,191,153,156,153,156,187,172,164,171,199,223,221,219,227,228,229,232,234,228,237,242,220,224,231,222,204,195,165,159,141,111,111,167,214,214,227,231,228,223,220,222,228,230,231,233,235,223,255,255,251,236,232,222,214,190,138,103,126,110,106,212,238,228,227,224,224,224,222,222,230,230,231,235,238,226,255,255,229,198,173,176,179,169,138,112,125,112,124,228,230,227,227,226,226,226,225,223,231,232,233,235,240,226,255,254,206,159,145,105,112,180,147,119,127,113,136,234,231,229,229,228,227,227,226,225,231,233,235,236,240,221,245,249,198,141,107,80,143,192,149,125,130,112,162,241,231,233,231,230,228,226,225,225,233,234,237,237,244,217,246,253,209,171,120,95,147,143,127,128,125,123,146,241,233,234,232,232,229,227,226,225,233,236,236,237,244,216,245,255,215,175,146,117,79,68,72,89,106,120,119,232,237,233,233,232,231,228,227,227,234,237,237,238,246,209,242,254,216,179,145,136,118,89,80,91,110,115,116,219,241,236,235,234,233,230,228,229,236,237,237,239,247,215,233,249,212,177,146,136,136,115,107,114,120,125,120,218,241,235,236,234,234,233,232,231,235,237,238,239,248,217,230,246,208,174,150,139,138,118,112,118,125,130,131,229,240,236,236,235,235,236,235,232,235,238,239,241,249,225,231,242,204,172,149,137,136,121,117,122,131,129,153,243,238,238,238,238,237,236,235,233,236,239,241,242,249,225,240,239,197,167,148,135,135,131,128,132,142,129,198,249,239,239,238,238,237,235,234,232,237,238,241,243,246,224,248,244,203,171,154,137,134,141,138,143,137,160,241,244,243,242,240,239,238,236,237,235,238,239,242,244,245,221,252,238,211,184,156,137,134,144,143,141,172,233,247,244,244,244,242,242,239,237,235,235,237,237,239,243,239,227,248,226,200,185,157,137,141,141,134,186,247,245,243,244,242,241,239,239,239,238,236,234,235,237,240,244,235,247,247,229,195,173,157,140,139,132,135,222,245,241,242,243,242,240,238,238,237,235,234,233
24,205,208,209,210,211,212,212,212,212,212,213,213,213,214,212,213,214,213,213,212,211,211,209,212,137,56,45,49,209,211,212,212,213,214,214,214,215,215,216,216,216,217,215,215,216,216,216,215,213,212,214,195,113,65,58,52,211,213,215,215,215,217,217,218,217,218,219,219,218,218,219,218,219,219,219,218,217,215,217,198,96,64,70,80,213,215,217,218,219,220,220,220,220,220,221,221,221,221,221,221,220,220,220,219,219,218,218,212,114,66,88,83,215,217,218,219,220,221,223,222,223,223,223,224,223,223,223,225,224,224,224,222,221,220,217,225,164,68,87,66,217,218,220,222,222,224,225,225,225,225,225,225,226,226,226,226,226,226,226,225,224,223,222,222,208,95,75,60,219,221,222,224,224,226,226,227,226,226,227,227,227,227,228,228,228,228,227,227,226,226,225,222,233,137,66,57,221,223,225,225,224,221,230,227,227,228,228,228,229,230,230,230,231,231,230,230,228,226,227,224,232,186,59,55,223,224,227,226,230,178,214,233,229,231,231,231,231,232,232,231,233,232,232,233,231,229,229,228,229,216,147,146,223,224,227,228,230,169,172,241,229,232,232,233,233,232,233,233,233,234,233,232,232,232,230,230,230,219,168,217,224,226,229,230,234,191,135,229,234,232,233,232,232,234,233,234,234,233,233,237,234,232,233,231,233,216,188,234,226,227,230,232,232,213,142,185,243,230,233,233,234,236,239,236,236,241,238,214,229,236,232,233,232,230,213,182,227,228,231,232,233,231,184,137,230,237,234,234,237,229,218,241,229,206,247,192,164,232,235,233,233,231,213,155,227,230,231,232,233,236,214,154,169,241,237,232,245,231,181,223,227,149,196,224,134,209,243,233,231,223,187,158,228,232,232,233,234,236,227,203,163,195,243,231,255,253,218,181,218,169,176,234,146,210,244,231,241,218,156,129,228,231,232,232,233,235,234,217,186,175,218,238,234,255,245,170,193,200,168,225,166,208,245,233,247,176,135,195,227,230,231,231,233,234,234,230,209,219,205,217,211,231,255,190,156,205,167,232,168,186,219,233,225,131,197,246,227,230,233,233,233,233,236,233,246,234,211,191,181,179,238,212,139,172,181,229,187,131,193,227,174,155,240,229,228,230,233,233,233,234,237,236,246,246,197,179,157,143,194,222,136,161,197,207,216,140,209,196,148,219,237,231,227,230,232,232,233,234,237,237,237,251,249,203,156,162,171,210,162,155,221,158,182,203,205,156,157,241,233,233,234,237,239,239,239,239,240,243,241,251,255,249,204,154,167,196,189,140,222,164,226,221,191,136,198,242,233,233,188,192,195,199,203,208,212,217,217,232,255,255,254,191,156,196,225,193,218,236,238,190,169,156,246,245,239,236,126,125,127,129,129,129,131,132,129,149,255,249,255,227,178,166,227,255,255,255,215,180,154,144,176,176,197,215,134,135,136,135,134,134,135,135,136,125,216,251,255,248,201,174,184,253,255,232,198,168,139,149,175,207,230,243,134,133,133,133,135,136,135,136,137,131,153,252,255,249,212,181,174,228,245,212,192,144,151,248,250,242,243,253,133,132,132,132,134,135,135,136,137,140,125,218,248,219,189,169,174,202,218,194,164,131,188,218,224,240,233,240,132,134,133,133,133,133,134,136,136,139,125,190,246,200,194,184,180,193,202,181,138,147,233,200,191,215,225,226,130,132,132,134,134,134,134,136,135,136,127,173,247,223,219,203,191,194,200,171,124,160,229,215,163,182,210,223
12,190,195,199,200,204,207,209,209,211,212,212,213,216,218,218,217,217,217,218,217,217,217,215,214,213,213,213,211,193,197,199,201,205,208,210,211,211,212,213,216,217,218,218,219,219,218,218,218,217,216,217,216,216,214,214,212,194,197,201,204,205,208,209,211,213,215,217,217,218,218,215,218,221,221,218,219,218,218,218,217,217,215,216,216,194,198,201,204,207,209,210,213,215,216,216,219,216,213,242,217,191,209,223,220,220,218,219,219,218,217,217,216,196,199,203,206,208,210,213,215,217,214,231,255,235,191,236,247,183,157,222,219,221,222,219,219,219,217,217,217,197,200,204,207,208,211,215,217,219,213,255,255,255,210,168,233,216,147,201,241,200,201,223,221,220,218,218,217,197,201,204,207,210,212,215,217,220,213,255,255,255,236,207,170,206,181,174,251,195,151,198,226,219,219,219,218,198,202,205,209,211,213,215,218,217,212,253,229,215,243,209,136,184,200,136,185,201,140,154,227,221,220,219,220,198,202,207,209,212,214,217,212,228,251,208,187,201,220,205,181,201,167,115,142,175,139,139,223,223,220,219,220,199,203,207,210,213,216,213,227,255,249,189,143,175,230,231,231,212,176,153,205,160,133,141,225,223,221,221,222,199,204,208,210,212,216,211,255,255,234,198,148,116,202,218,210,226,236,221,211,153,124,151,231,223,224,223,224,200,204,209,211,215,212,237,255,245,250,208,156,95,132,163,195,224,255,244,205,148,108,180,232,223,224,224,224,202,205,209,211,216,210,255,252,237,254,215,171,108,109,110,137,216,242,250,224,190,134,207,232,224,224,224,224,202,206,209,214,211,237,255,238,220,255,239,192,116,117,119,173,243,233,225,199,202,166,174,234,224,225,225,224,199,204,209,212,207,255,255,239,193,215,255,205,137,109,195,255,245,228,219,183,179,166,155,230,226,225,226,225,201,206,208,210,209,255,255,238,193,169,217,248,171,184,255,242,235,222,209,180,161,143,173,233,226,225,225,225,202,206,210,211,216,255,255,238,221,219,180,190,200,255,255,245,230,223,196,176,150,134,198,234,227,227,225,226,202,207,211,210,218,255,255,248,246,236,204,202,255,255,255,251,218,206,184,173,145,138,219,231,228,228,226,226,202,207,211,210,217,255,255,255,253,238,218,213,255,255,255,240,209,187,179,166,137,158,233,229,229,228,226,226,201,206,208,213,214,255,255,255,252,234,220,214,255,255,247,224,194,182,181,155,130,197,237,229,230,230,227,225,200,203,207,213,207,253,255,255,248,238,226,222,246,251,230,205,187,185,179,141,151,231,230,229,229,227,225,224,202,207,211,216,212,238,255,248,238,234,226,222,239,246,222,198,184,180,164,135,207,238,232,233,232,231,230,230,176,178,180,182,176,210,255,232,231,231,220,205,226,245,219,189,173,167,148,141,180,180,177,177,177,176,176,177,138,136,135,139,126,173,255,226,230,233,219,203,217,238,202,166,157,154,141,132,128,128,127,126,126,126,125,126,147,147,146,148,138,176,255,232,241,238,220,204,210,233,187,158,150,144,140,140,138,139,137,136,136,134,134,134,147,145,146,149,139,175,255,246,255,247,226,206,200,227,186,161,142,138,140,141,140,137,136,135,136,134,134,134,147,146,146,150,140,169,255,255,255,246,225,201,192,221,188,158,140,136,139,140,140,138,138,137,137,137,136,132,146,147,148,149,143,157,255,255,255,234,217,202,187,210,183,151,139,136,140,140,138,137,137,137,138,136,132,142
1,147,152,157,158,162,165,168,169,170,171,172,173,174,173,174,174,174,174,173,173,174,174,174,173,173,171,170,169,151,157,161,162,166,169,171,172,173,174,176,176,176,177,177,177,178,179,178,177,177,178,178,179,178,175,174,174,155,161,164,167,170,173,176,177,177,178,179,180,180,179,185,184,180,184,183,181,183,183,183,183,182,180,179,178,158,164,168,171,175,177,180,180,181,184,183,184,186,190,160,170,189,184,186,185,186,186,186,185,184,184,182,180,163,167,171,176,180,182,184,184,186,186,185,189,176,200,148,113,209,191,186,187,188,189,189,189,186,185,185,183,165,171,176,181,182,186,187,187,187,189,186,210,168,151,165,83,151,167,195,189,192,192,192,191,190,189,187,186,169,176,180,184,185,188,190,191,190,192,189,216,167,143,182,75,131,100,198,194,196,196,197,196,194,193,192,189,174,179,182,187,190,193,194,196,195,196,188,220,180,137,204,101,146,99,170,204,197,197,199,198,197,196,195,193,179,182,185,189,192,195,197,197,197,205,170,163,209,121,203,118,143,126,139,212,199,202,200,199,200,198,197,195,181,186,189,193,196,196,198,202,199,216,167,122,217,114,184,138,160,182,115,207,205,206,205,204,203,201,200,197,183,187,190,195,197,198,201,204,201,221,174,129,213,121,188,164,136,202,115,185,213,206,207,206,206,204,203,201,184,189,192,195,199,201,204,205,202,229,176,139,238,143,175,185,115,207,139,152,222,208,209,208,207,207,205,204,186,192,196,197,201,203,205,209,205,225,174,129,230,121,126,186,95,213,170,126,221,210,212,211,210,211,208,206,188,194,197,200,204,205,207,211,207,225,195,105,191,135,127,172,126,186,161,115,208,216,214,213,212,211,210,208,189,194,199,202,204,207,211,212,210,232,180,104,156,217,160,158,203,162,130,103,182,225,213,214,215,213,213,212,189,195,200,203,206,210,213,213,213,225,189,183,132,174,181,214,204,148,129,105,130,231,214,217,218,216,215,214,191,196,202,205,208,211,213,212,218,222,192,183,128,150,226,224,198,210,155,103,88,220,220,219,220,217,216,216,192,197,202,206,210,212,213,212,222,232,175,149,160,195,190,150,146,247,227,168,77,193,227,219,223,222,221,218,191,197,202,206,209,214,213,214,223,249,179,140,141,130,115,123,182,224,222,179,116,159,235,220,222,222,221,219,193,196,201,205,207,211,212,213,219,255,205,135,151,151,182,226,242,211,196,153,90,139,237,221,222,222,221,222,194,197,202,206,208,211,214,214,216,253,237,147,175,164,221,248,242,220,183,144,65,140,239,220,223,222,221,222,194,197,203,206,209,213,214,215,216,249,255,169,192,169,210,255,253,222,168,128,62,150,239,221,224,224,222,221,194,197,202,204,208,212,214,216,215,239,254,197,211,183,189,255,251,206,158,112,64,185,236,224,225,224,223,222,197,202,208,209,211,215,217,217,216,224,249,226,212,197,168,253,242,195,149,98,66,209,230,226,225,224,225,224,175,181,188,196,201,207,210,211,217,214,243,248,216,191,152,226,231,180,134,87,87,236,237,239,232,225,224,226,83,86,88,94,101,102,105,109,115,110,218,238,200,181,148,189,207,161,117,88,100,186,181,181,205,235,229,221,85,85,84,84,85,86,86,85,88,72,189,225,191,175,144,164,193,156,107,88,82,76,109,175,213,211,224,220,86,91,100,97,96,94,90,91,95,82,185,224,196,168,151,163,190,148,87,80,110,184,239,241,209,174,173,216
5,174,178,180,184,185,188,191,192,192,193,193,195,195,194,196,195,195,196,195,197,196,195,195,194,195,196,196,196,176,180,182,185,188,190,192,194,195,196,197,197,197,196,198,198,198,198,198,199,198,198,198,198,198,198,198,198,178,180,183,187,191,192,194,196,197,197,198,199,199,200,193,191,202,200,200,200,200,201,203,201,200,199,199,199,180,183,186,189,192,194,196,197,198,199,200,202,198,210,183,137,206,202,202,203,204,203,203,205,202,201,201,200,181,185,188,190,194,196,197,201,202,201,202,200,211,214,159,154,207,203,204,205,205,206,206,206,205,204,203,202,183,186,190,193,197,198,202,179,193,205,203,207,232,161,140,205,206,204,204,203,205,203,204,208,208,206,205,204,185,187,191,194,198,196,217,146,161,212,199,233,211,123,191,212,205,204,213,215,210,158,159,217,208,209,208,206,186,189,192,195,196,204,213,124,180,211,207,223,157,149,216,205,207,224,223,186,168,141,184,214,209,211,211,208,186,190,194,197,196,221,176,130,211,208,205,176,126,192,213,203,219,218,162,132,182,203,214,210,211,212,212,211,187,190,195,197,196,227,163,150,216,207,185,146,133,217,199,202,194,141,142,201,219,214,212,214,212,212,212,212,189,192,196,198,198,228,165,154,218,201,180,155,139,216,187,197,133,132,212,217,212,213,213,215,215,214,214,213,189,192,195,199,201,224,169,147,217,200,184,146,151,192,179,181,118,185,220,213,215,213,215,214,215,216,214,213,190,193,197,200,201,212,206,151,191,204,185,122,147,157,174,156,139,211,216,217,216,215,212,217,218,216,216,215,190,194,198,202,204,203,220,190,148,192,164,148,121,133,159,139,170,223,214,210,216,223,200,162,219,217,216,216,190,193,197,198,204,198,210,223,171,151,145,136,125,129,129,139,192,216,209,217,228,204,211,162,186,227,216,217,190,194,196,199,203,203,204,233,208,158,124,116,118,119,120,149,173,203,217,201,174,150,180,197,157,197,221,216,191,195,198,199,203,205,204,227,218,164,119,114,115,113,120,148,160,168,181,137,142,196,199,193,146,171,222,215,192,196,199,200,202,205,204,220,224,165,115,110,111,109,118,133,142,126,137,170,213,206,205,159,153,222,217,217,192,196,198,200,204,206,205,217,227,171,116,106,111,111,114,124,120,133,204,223,210,202,175,128,213,222,218,218,195,199,201,204,206,206,206,214,228,179,123,105,109,113,109,116,97,163,232,214,203,191,127,150,227,215,218,218,174,180,187,191,194,199,199,207,227,187,131,106,108,109,113,131,138,146,194,205,205,162,121,206,229,222,223,223,114,115,119,120,122,131,121,180,237,194,142,107,110,109,112,134,159,170,148,193,205,146,136,192,192,196,198,200,119,118,117,117,116,120,106,179,234,200,153,112,106,114,124,146,165,176,161,182,182,126,115,116,119,120,122,122,119,119,119,126,126,126,114,185,230,205,160,117,108,113,145,168,181,172,144,144,143,124,129,126,130,128,123,121,117,117,118,121,122,126,115,176,227,207,166,129,120,109,155,175,176,155,126,113,118,131,135,130,128,124,148,186,118,118,119,120,120,123,113,174,220,203,168,141,127,106,148,171,165,135,114,116,126,128,127,117,144,191,219,210,118,119,120,120,119,122,113,193,224,199,173,147,126,107,129,151,141,120,113,125,130,126,121,176,231,224,206,192,117,118,119,120,120,120,116,207,223,195,168,135,116,105,116,125,119,114,123,128,131,127,194,241,219,204,196,175
5,179,181,182,185,187,187,187,187,188,184,201,150,160,190,184,184,184,181,183,184,179,180,179,176,180,112,62,68,181,183,184,187,188,188,189,189,189,185,215,129,127,196,185,186,185,187,177,168,184,180,180,187,150,62,75,89,183,185,187,187,189,191,191,191,194,192,214,120,145,197,187,188,184,197,152,113,190,181,182,180,96,58,78,98,184,187,188,190,191,192,193,192,177,205,197,110,172,197,189,188,188,178,113,126,192,181,188,156,70,66,77,90,185,187,190,191,193,194,198,207,113,198,181,109,189,195,191,193,172,138,100,178,189,183,192,129,64,79,93,101,187,188,191,193,195,198,195,215,117,172,179,114,197,194,196,180,146,101,150,196,187,186,192,141,76,89,92,98,188,191,193,194,196,199,196,222,145,147,161,123,202,199,177,150,118,123,199,190,189,186,193,161,86,93,90,83,189,192,194,196,199,200,200,212,156,133,132,142,210,175,135,125,104,180,198,192,191,189,190,180,93,79,74,76,192,194,197,198,200,201,199,216,172,122,109,161,200,133,114,97,160,201,193,194,193,191,190,197,121,54,61,79,193,195,198,198,200,203,200,221,194,128,119,150,165,117,101,129,208,196,196,195,194,194,192,199,147,64,66,63,195,197,198,200,204,204,203,216,192,127,121,127,134,118,99,165,206,199,196,195,196,194,193,197,174,139,139,101,196,199,200,203,205,204,205,208,189,129,106,105,110,109,108,197,206,192,197,201,198,197,195,197,183,111,172,173,198,200,202,204,205,207,206,207,197,150,113,105,95,92,142,205,156,129,139,192,205,199,196,197,177,128,186,144,199,201,203,205,207,208,208,206,205,169,116,98,97,90,122,129,114,134,136,144,172,196,198,201,197,166,121,128,199,201,203,205,207,209,209,206,214,189,139,102,95,98,94,104,120,113,143,165,154,167,174,172,181,198,141,164,201,203,205,206,208,209,211,210,222,210,174,120,96,97,106,96,88,96,134,133,153,164,158,124,124,182,185,178,200,203,206,208,211,211,212,211,222,221,189,130,98,92,101,88,129,188,200,169,159,138,154,155,138,107,184,186,202,205,206,208,211,212,212,212,227,231,191,133,103,93,80,136,227,206,210,207,168,165,173,150,125,139,192,132,202,205,207,211,212,213,214,212,231,236,196,141,106,88,71,112,172,218,199,149,148,169,142,116,177,203,203,160,203,205,208,210,212,214,214,214,230,238,199,146,111,81,81,91,97,169,135,141,160,132,95,177,209,197,199,194,204,206,208,211,213,214,214,218,233,235,195,146,112,81,82,97,103,90,113,147,129,105,167,207,200,201,199,198,204,206,209,212,213,215,213,218,237,231,191,146,113,83,85,101,106,109,118,124,112,186,213,202,202,202,199,198,205,206,208,210,212,214,212,217,237,227,182,142,112,85,89,109,111,114,106,100,184,213,204,204,201,201,199,197,205,208,209,211,213,214,213,220,231,216,174,143,113,83,92,114,117,112,96,173,213,204,207,205,202,200,200,198,205,207,209,212,213,214,208,226,231,209,175,147,110,82,88,112,120,100,130,220,205,207,207,206,203,200,201,199,205,207,209,211,215,208,212,237,230,204,176,147,110,88,89,114,116,89,177,214,206,207,206,206,203,201,201,200,206,208,211,212,214,201,232,239,223,198,179,146,106,90,99,117,93,124,215,208,207,207,206,205,203,202,202,198,205,208,211,216,203,206,241,232,210,193,177,139,101,91,102,102,98,198,213,209,208,206,207,206,205,203,203,191
22,49,84,101,101,105,108,110,121,135,144,149,152,155,158,161,164,168,168,169,174,174,173,174,173,173,174,173,172,47,88,101,102,106,110,112,122,136,145,151,153,155,159,162,165,168,169,174,158,168,176,176,177,174,175,174,172,50,92,101,103,107,111,112,123,137,147,151,155,156,161,165,168,168,171,187,119,148,183,171,164,178,176,175,174,53,96,102,104,107,111,113,125,138,147,153,155,160,160,167,170,168,178,188,116,154,187,156,123,179,177,177,176,58,97,102,105,109,112,115,126,139,148,151,169,171,120,167,171,169,188,188,115,162,194,146,125,184,178,178,177,63,99,102,106,109,112,115,127,141,152,153,172,161,103,162,174,169,196,183,117,172,200,141,136,188,180,180,179,69,102,104,107,110,113,117,128,142,152,156,165,167,109,153,178,172,193,169,117,182,200,134,154,188,182,182,181,74,103,104,107,111,113,117,131,142,153,159,162,171,117,139,180,175,186,156,114,188,194,123,165,189,182,183,183,78,104,104,108,112,114,118,133,144,154,160,161,172,130,124,179,178,182,145,118,202,174,114,178,189,186,186,185,82,105,105,108,112,114,118,133,146,155,160,159,173,137,105,167,182,168,138,120,209,155,121,189,187,187,188,187,87,106,105,109,112,114,120,134,147,156,161,159,174,163,113,151,178,155,123,134,208,137,131,194,187,190,189,187,92,105,105,108,112,115,120,136,146,155,161,160,174,187,126,124,163,153,139,182,194,123,145,196,188,190,190,190,97,106,106,108,112,114,121,136,147,156,162,173,151,158,115,114,148,171,196,201,172,113,163,197,190,191,191,191,100,106,106,109,111,114,122,136,147,156,167,182,149,137,118,131,154,185,203,194,160,111,178,195,192,193,193,192,102,106,107,110,113,115,123,136,147,157,165,170,184,184,149,106,129,167,186,186,158,110,186,196,194,193,193,193,104,105,106,109,113,115,123,138,149,158,164,179,193,199,146,112,110,136,156,166,144,109,187,198,195,195,195,194,105,106,107,109,113,115,123,139,150,160,161,194,182,164,154,139,115,114,121,125,131,107,178,201,196,197,196,196,106,106,107,109,113,116,124,139,151,160,163,193,180,153,167,161,138,119,113,104,117,105,170,203,197,199,197,197,108,107,107,109,112,115,124,140,150,160,161,197,192,166,157,167,159,150,128,104,104,103,167,205,198,200,199,199,107,106,106,109,112,115,125,140,151,162,162,197,198,173,160,207,169,160,132,109,107,102,169,206,199,201,201,199,106,106,105,108,112,115,125,140,153,162,164,187,211,168,176,227,174,150,128,114,113,105,175,207,200,202,200,200,107,107,107,109,111,115,126,141,152,162,164,179,205,158,186,212,175,148,129,121,113,108,185,206,202,203,202,202,107,107,107,108,112,117,127,141,152,162,165,172,191,162,182,198,179,159,130,120,115,111,185,206,203,204,204,204,108,107,107,110,112,116,128,142,152,161,166,169,182,179,183,190,174,153,130,117,116,112,185,207,205,206,206,206,107,106,107,110,113,116,129,142,153,162,166,168,177,188,175,176,166,135,124,118,114,106,183,210,206,206,206,206,108,105,106,108,112,115,129,142,153,163,166,168,176,185,166,158,162,128,124,121,113,97,173,212,206,207,206,206,107,105,105,107,110,114,128,141,153,162,165,169,177,177,151,157,177,163,144,123,114,96,150,212,203,206,206,205,105,103,104,107,109,113,126,140,152,161,165,169,175,181,181,186,186,174,161,130,110,99,119,204,204,206,205,205
19,209,210,211,213,215,216,215,216,216,216,216,215,214,214,213,213,212,209,209,209,209,208,207,206,206,205,202,201,209,211,213,215,215,217,217,217,218,218,218,217,216,215,215,214,213,211,210,210,210,209,208,207,207,207,206,204,211,213,215,215,217,218,218,219,219,219,219,219,217,217,217,214,214,213,213,212,212,210,210,209,210,208,207,207,214,214,215,217,219,219,220,221,221,219,221,219,218,218,218,216,215,215,214,213,213,213,212,211,211,208,208,208,215,216,217,218,220,221,223,223,223,223,224,221,220,220,219,218,216,216,216,215,215,214,213,212,210,209,209,208,215,216,218,219,222,223,224,224,223,224,224,223,224,221,219,219,218,217,217,218,217,216,214,213,212,211,210,209,216,218,221,223,223,224,226,226,226,226,226,224,224,222,222,223,220,219,219,218,218,217,214,214,214,211,211,211,218,222,222,224,225,226,227,226,227,227,226,225,225,224,224,225,225,223,222,221,219,219,217,217,214,216,214,212,220,223,224,225,227,227,229,228,230,229,227,225,225,225,220,201,204,221,215,214,216,216,212,212,219,191,209,214,220,223,224,226,227,227,228,228,228,225,225,228,226,230,227,206,213,229,213,210,220,213,213,212,200,125,198,219,221,225,225,226,230,231,230,233,237,207,195,204,215,218,210,207,214,217,204,214,232,217,192,165,138,165,216,216,223,225,226,227,231,232,229,229,208,196,205,208,205,210,206,191,155,158,155,158,187,173,165,172,199,221,219,217,224,225,226,229,231,225,234,239,218,222,228,220,203,195,167,160,144,116,116,168,212,212,225,228,225,221,218,219,226,227,228,230,232,221,255,255,247,233,229,220,212,190,142,108,130,115,111,210,235,226,224,222,221,222,220,220,227,227,228,232,235,224,255,255,227,198,174,177,179,170,141,116,129,117,128,225,228,225,225,224,223,224,222,221,229,229,230,232,237,223,252,250,205,161,147,110,116,180,150,124,130,118,139,231,228,226,226,225,224,225,224,223,228,230,232,233,237,219,242,245,197,144,112,87,146,192,152,129,133,116,163,238,228,230,228,227,226,224,223,223,230,232,234,234,240,216,243,249,208,172,124,101,150,146,131,131,129,127,149,238,230,231,230,229,227,224,224,223,231,233,233,234,240,214,241,251,213,176,148,122,86,76,79,95,111,124,124,229,234,230,230,230,229,226,225,224,232,234,234,235,242,208,239,250,214,180,147,139,122,95,87,97,114,119,120,217,237,233,232,231,231,227,226,226,233,234,234,236,243,213,230,246,211,178,149,139,139,119,112,118,124,129,124,216,238,232,233,231,231,230,229,228,232,234,235,236,244,215,228,243,206,175,152,142,141,122,116,123,129,133,135,226,236,233,233,232,232,233,232,230,232,235,236,238,246,222,228,238,203,173,151,140,139,125,121,126,134,132,155,240,235,235,235,235,233,233,232,230,233,235,237,239,245,223,237,235,196,168,150,138,138,135,132,135,145,133,197,245,236,235,235,235,234,232,231,229,234,235,238,239,243,222,244,241,202,172,156,140,137,144,141,146,140,162,238,241,240,239,237,236,235,233,234,232,234,236,239,241,241,219,248,235,210,185,158,140,137,147,146,144,173,230,243,240,241,241,239,238,236,234,232,232,234,234,236,239,236,224,244,223,199,185,158,141,144,144,137,186,244,241,239,240,239,237,236,236,236,235,233,231,233,234,236,241,232,243,243,226,195,174,159,143,142,136,138,220,242,238,239,239,239,236,235,235,234,232,231,230
10,139,143,146,149,152,156,158,161,163,165,166,167,168,168,169,169,170,171,171,170,170,170,170,170,171,171,171,171,141,145,148,152,155,159,161,164,166,168,169,171,171,171,172,172,173,173,173,173,173,173,173,172,173,173,172,172,144,148,151,155,158,161,164,167,170,171,173,174,174,174,176,176,176,177,177,177,176,176,175,175,176,176,176,174,146,150,155,158,161,165,168,171,173,175,176,177,178,178,179,178,179,172,171,180,179,179,178,179,179,179,179,178,149,153,157,160,164,167,171,174,177,179,179,180,181,181,181,180,187,169,137,180,182,181,181,182,182,182,182,181,152,156,159,163,166,170,173,176,179,181,181,182,183,184,184,184,189,187,137,158,185,184,184,186,185,185,185,183,153,158,162,165,168,172,175,179,181,182,184,184,185,186,186,187,188,197,164,136,184,188,187,187,187,187,186,186,155,159,164,167,171,174,178,181,183,184,185,187,187,188,187,179,182,203,198,145,169,191,189,189,189,189,188,188,158,162,166,169,173,177,181,183,185,186,187,189,190,190,194,158,133,194,214,168,141,192,192,193,192,192,192,191,159,163,167,171,175,180,182,184,186,188,189,191,192,191,199,181,127,149,213,187,128,180,195,195,194,194,194,194,160,165,169,174,178,180,183,186,188,190,192,193,194,194,198,215,185,146,170,192,133,162,197,195,196,196,196,196,162,166,170,175,179,181,185,187,189,191,193,195,194,200,194,190,214,161,112,167,142,142,199,197,198,199,198,198,163,167,172,176,180,183,186,188,191,193,194,195,200,204,179,127,166,172,117,107,119,119,199,200,200,200,200,199,164,167,172,176,181,184,187,190,193,195,195,197,216,201,155,90,88,166,142,89,79,90,180,203,202,201,201,201,164,169,174,177,182,185,188,192,194,195,197,198,216,193,122,58,48,135,156,116,75,74,142,205,203,202,201,202,166,170,174,179,182,187,190,193,195,196,204,207,195,212,178,97,49,129,167,152,102,76,117,204,205,204,202,202,167,171,175,179,184,187,191,194,196,197,209,220,204,189,209,159,94,162,188,171,119,75,103,201,207,206,205,204,168,172,176,179,183,188,192,194,196,197,198,202,215,175,174,199,144,175,193,168,125,77,98,201,208,208,208,206,167,171,175,179,183,187,190,193,195,197,197,179,186,160,129,171,145,184,201,165,122,83,97,200,209,208,208,207,167,172,176,179,183,186,189,193,195,196,205,204,178,158,131,145,208,220,203,164,113,83,101,200,208,207,206,206,168,172,175,180,184,187,190,193,195,195,205,219,193,163,154,186,230,219,195,152,106,85,106,203,208,207,206,206,168,172,175,180,184,187,190,193,195,197,199,216,204,191,183,203,226,205,179,140,104,95,101,201,209,207,207,207,168,172,177,181,184,187,191,194,196,198,200,210,210,204,199,194,219,193,169,141,123,112,103,199,209,208,208,208,160,165,170,176,181,184,188,192,194,196,199,205,214,213,207,180,202,186,175,154,142,117,111,203,210,209,209,209,104,107,112,117,122,125,129,134,138,141,143,160,210,214,202,180,179,180,187,167,138,105,113,187,194,196,197,199,93,95,96,96,95,94,94,96,97,98,99,105,179,200,187,177,170,176,196,172,130,98,94,110,114,117,120,122,97,97,98,99,99,102,103,102,102,101,102,99,139,191,178,176,176,178,188,167,126,95,99,104,103,104,104,103,95,95,97,97,97,99,100,103,102,101,100,100,115,184,185,179,182,176,176,169,125,94,105,111,110,112,112,113
4,154,154,155,155,155,155,155,154,154,155,154,156,155,155,156,156,156,155,155,155,155,155,154,154,154,153,151,150,156,156,156,156,155,155,157,157,155,156,156,155,155,158,156,157,158,157,156,156,156,156,153,155,155,153,152,153,158,156,157,157,157,156,157,157,158,158,157,155,154,158,162,158,158,160,163,158,156,156,157,156,156,154,154,154,157,158,158,157,159,158,157,159,159,158,157,172,157,127,133,159,144,119,142,166,162,159,155,156,156,156,156,156,157,157,159,160,161,161,159,157,161,156,147,160,189,152,98,148,165,114,74,141,133,147,163,156,157,157,157,157,160,160,160,161,162,161,161,157,172,180,163,106,155,181,100,141,179,130,77,138,118,72,138,168,157,159,159,157,161,161,161,161,161,162,161,163,170,174,168,115,125,175,87,126,190,124,100,166,133,74,69,166,160,160,159,160,161,162,162,162,162,163,158,175,164,153,174,102,103,168,99,91,169,95,90,167,142,83,62,165,161,162,160,161,161,162,163,164,163,161,162,180,141,110,164,115,84,163,144,118,131,118,142,177,160,89,89,174,160,162,161,162,161,162,163,165,165,161,171,174,141,102,134,119,70,111,138,147,139,156,165,163,140,107,84,167,163,163,162,162,161,162,163,165,163,166,177,165,154,122,96,72,59,84,80,120,127,135,143,142,118,135,64,132,173,162,164,163,163,163,163,165,164,171,173,146,122,110,91,64,60,97,57,75,97,96,118,105,124,142,81,92,177,161,164,164,163,163,164,165,165,174,175,140,105,84,81,70,73,97,77,106,112,96,64,106,171,150,112,63,158,168,165,167,163,163,164,166,164,180,187,156,119,83,63,62,83,83,99,138,142,110,98,132,173,162,143,70,110,179,164,169,162,162,163,166,164,182,188,165,125,83,65,62,89,93,136,141,141,135,164,164,152,172,143,79,75,177,166,168,162,162,162,164,163,185,188,174,131,81,75,67,76,103,134,137,156,169,163,165,154,143,122,87,62,162,169,167,162,162,164,164,164,188,184,180,133,84,94,87,78,112,131,157,167,164,161,153,142,113,96,81,65,161,168,166,162,162,164,165,168,185,182,169,130,115,109,89,121,152,164,176,169,161,150,139,123,99,74,54,128,172,166,167,163,163,164,165,167,186,183,172,148,134,116,90,141,176,172,177,170,154,140,126,109,86,52,99,173,167,168,167,163,163,164,165,161,186,182,178,164,137,131,106,131,177,171,173,161,137,127,115,97,66,69,166,170,170,168,168,162,163,163,167,156,176,181,184,171,148,135,122,131,175,170,163,148,126,115,98,82,54,134,175,169,170,169,167,167,167,168,171,163,166,182,174,158,148,136,125,134,163,160,148,134,115,104,88,55,91,178,170,171,171,172,171,105,108,110,116,107,150,192,167,150,146,142,129,136,149,147,132,117,102,96,75,56,151,175,173,174,174,169,166,61,62,63,68,49,131,190,164,157,157,147,131,136,147,143,129,103,89,84,62,68,95,95,94,92,96,120,154,71,72,71,75,58,133,190,166,162,161,148,131,137,151,149,127,86,77,68,59,67,57,55,67,115,135,147,162,70,71,70,75,57,131,195,168,163,162,160,136,128,148,143,106,74,69,61,68,70,85,144,167,161,184,170,141,72,73,72,76,59,129,195,169,163,169,172,138,115,143,128,88,69,58,54,106,148,167,183,169,126,130,166,162,70,71,71,75,61,130,188,161,157,168,173,135,112,138,119,79,60,52,124,182,185,168,151,137,125,102,124,154
21,167,171,174,175,175,176,177,177,177,177,178,170,174,177,174,172,169,168,167,167,165,161,159,158,157,155,154,151,169,173,175,177,177,178,178,180,180,179,184,150,117,177,177,174,172,171,170,170,167,165,162,163,159,158,156,153,170,174,177,178,179,180,181,182,182,182,182,161,99,135,187,175,176,175,173,172,170,168,163,146,161,160,158,156,172,174,178,179,182,183,184,185,185,184,184,173,125,85,181,179,178,177,175,174,173,171,160,91,128,170,160,159,174,177,179,182,183,184,186,187,186,186,187,182,145,71,153,189,178,179,178,177,172,174,150,78,119,174,161,161,176,179,182,183,184,185,186,187,187,189,189,187,167,100,117,194,181,183,181,179,175,174,138,73,139,172,164,163,177,181,184,185,186,187,188,189,189,192,191,191,182,121,90,186,185,184,182,181,179,169,116,74,162,169,165,163,179,183,185,186,188,190,192,191,191,193,193,192,193,133,74,167,190,183,183,183,181,163,105,92,178,168,168,166,181,185,187,187,189,192,193,193,193,195,195,193,195,154,85,142,196,184,186,184,173,143,82,121,181,170,170,168,183,186,188,191,190,191,192,194,194,196,196,194,188,174,113,115,199,184,186,185,162,122,61,156,179,171,170,167,184,185,188,191,191,192,194,194,195,197,199,197,192,188,148,99,175,198,190,187,164,104,81,182,174,175,172,169,185,186,189,192,193,194,195,196,197,198,200,199,195,195,187,134,114,163,177,166,145,82,127,189,175,176,174,172,185,187,190,193,195,196,197,199,199,200,200,200,196,136,140,154,108,106,109,120,90,63,165,184,177,177,175,174,186,188,191,194,196,197,198,200,202,201,201,202,191,123,82,129,125,117,124,128,59,83,194,181,180,179,177,175,186,190,192,194,196,197,200,201,201,202,202,203,171,153,103,101,126,105,111,110,62,92,196,181,181,180,178,176,187,191,194,195,197,200,202,202,203,203,204,176,122,148,116,82,106,56,96,133,84,60,182,185,182,181,179,177,188,193,194,197,200,201,203,204,204,203,202,173,114,123,118,57,73,44,78,142,107,51,128,195,180,181,180,177,190,194,196,199,201,202,203,204,204,204,201,179,120,100,98,40,72,73,139,153,138,69,70,191,182,181,180,178,190,194,198,200,201,203,204,204,208,206,196,161,121,88,80,40,75,124,179,157,128,68,65,189,183,183,181,179,191,194,198,201,202,204,205,207,207,206,193,176,153,103,65,51,101,178,165,139,110,49,83,197,183,185,182,180,193,195,198,200,203,204,205,206,206,208,193,180,159,115,90,88,167,187,151,119,105,42,112,200,184,185,183,179,193,195,199,201,203,204,206,208,208,209,191,177,160,126,89,94,173,171,150,121,99,44,137,200,185,185,182,180,192,196,199,201,203,204,206,208,208,209,190,163,152,123,91,93,161,165,140,114,84,42,161,197,186,185,183,181,192,196,201,202,204,206,206,208,208,210,194,159,156,132,106,95,152,157,131,99,61,51,188,191,188,186,184,182,193,195,200,203,204,206,207,209,209,210,206,172,157,137,112,83,130,131,104,81,33,87,204,187,188,186,184,182,192,193,196,200,201,204,205,207,207,207,207,187,169,143,109,85,103,111,88,67,22,141,200,186,187,184,183,181,191,194,197,199,202,204,205,206,207,207,207,193,169,142,112,99,93,103,102,50,58,194,189,188,185,184,183,181,192,195,198,201,203,205,206,207,207,207,205,193,175,146,130,123,105,106,95,35,127,204,188,188,185,184,182,179
5,138,145,149,151,157,163,167,171,174,176,176,180,183,183,184,185,186,186,185,185,185,184,184,183,182,181,181,179,139,146,150,152,159,165,170,173,172,188,184,144,186,185,187,187,188,188,188,188,187,185,184,184,183,182,182,182,141,148,152,155,161,167,172,175,169,210,178,130,187,188,188,188,189,189,189,190,188,187,187,187,186,184,184,182,142,150,152,156,163,167,171,173,180,230,135,151,192,188,189,190,190,190,190,187,189,185,187,187,187,185,184,183,143,150,153,154,162,169,175,169,209,230,117,174,192,190,191,192,192,189,190,202,217,143,168,193,187,187,185,184,144,152,151,170,165,164,178,168,230,217,125,185,191,191,192,195,190,196,230,213,171,132,180,193,189,188,186,185,145,154,145,208,176,130,183,173,245,197,132,192,192,193,196,192,203,247,217,139,138,186,194,191,191,190,188,186,146,156,145,214,169,126,183,180,254,177,135,197,193,195,193,204,246,223,151,132,190,198,193,191,191,191,189,189,148,156,150,231,154,137,182,191,252,164,129,199,193,194,205,240,207,144,140,195,200,195,195,194,193,192,191,189,149,157,154,229,164,130,183,196,242,178,122,191,197,196,233,218,134,129,194,202,198,197,196,196,194,194,192,190,149,159,152,217,195,122,181,191,239,182,114,186,202,208,222,170,118,176,208,197,200,199,199,196,197,196,195,193,151,160,154,198,222,128,144,187,231,181,101,164,198,185,167,132,149,203,197,199,202,201,199,198,192,194,196,194,153,159,157,181,228,180,158,146,201,204,135,114,136,140,126,134,191,192,226,232,228,223,215,201,139,162,208,192,155,160,163,170,195,209,201,170,169,189,143,116,116,124,123,156,177,205,198,184,196,214,201,182,150,121,182,201,155,162,164,170,175,184,205,220,224,197,145,112,112,115,136,141,143,163,128,120,209,223,179,150,134,127,179,203,155,161,163,170,180,180,185,228,251,225,161,112,113,112,123,134,126,106,140,200,236,185,131,146,187,201,203,199,157,162,165,172,179,187,187,207,247,238,176,118,109,107,113,123,104,149,219,211,207,138,126,204,210,204,203,202,158,163,166,174,180,187,193,191,233,250,202,135,106,107,105,103,92,154,189,195,205,132,161,216,204,205,205,203,159,164,166,175,181,187,194,191,225,255,220,161,112,102,100,109,124,150,160,189,193,127,181,215,207,207,206,203,158,164,166,175,180,184,192,193,208,255,236,189,129,101,102,113,126,161,179,174,177,127,190,214,207,208,206,204,158,163,165,173,180,186,191,192,204,255,249,212,153,106,104,111,139,175,178,153,144,117,195,213,208,206,206,204,158,163,166,173,182,189,195,195,204,255,251,223,173,119,101,119,153,180,170,136,119,145,214,211,211,207,206,205,159,166,166,175,182,187,193,195,201,254,254,227,193,137,108,111,158,172,162,124,120,205,216,212,211,209,207,206,158,165,167,173,181,188,192,196,199,239,255,230,206,159,125,107,145,164,147,116,135,218,211,211,210,208,206,205,156,163,167,175,182,190,195,202,201,231,249,242,219,186,143,117,121,147,135,113,175,226,217,217,217,214,212,214,149,153,157,161,164,169,172,177,170,221,255,255,229,194,149,126,118,133,122,120,172,180,176,176,176,176,177,166,115,116,116,117,115,113,114,118,102,204,255,253,225,179,143,129,121,122,122,116,105,104,102,103,104,100,97,152,121,122,122,122,122,120,122,127,110,200,255,242,202,149,132,124,122,124,120,114,114,113,112,112,109,116,198,240
5,88,94,97,99,105,110,113,117,119,122,121,125,127,128,129,130,130,130,129,129,129,128,128,128,126,125,125,124,89,95,98,100,106,112,116,118,118,131,128,93,130,129,131,131,132,132,132,132,131,129,129,128,127,127,127,126,90,97,100,103,108,113,118,121,115,151,123,80,130,131,132,132,132,132,133,134,131,131,130,131,130,128,128,127,91,98,100,103,109,113,117,119,125,169,85,99,135,132,133,134,134,134,133,131,133,129,131,131,131,130,128,127,92,98,101,102,109,115,120,115,150,169,69,120,135,133,134,135,136,133,133,144,157,92,114,136,131,131,129,128,93,100,99,116,112,110,123,114,169,157,76,130,135,135,135,138,133,139,168,154,117,82,125,136,133,132,130,129,94,102,94,149,121,80,127,119,182,139,83,135,136,136,139,135,145,184,158,89,88,130,137,134,135,133,132,130,94,103,94,155,115,77,127,125,190,122,85,140,137,138,136,146,183,162,99,82,133,140,136,135,135,134,133,132,96,104,99,170,102,87,127,134,189,110,79,142,137,137,146,178,149,93,90,138,143,138,138,137,136,136,134,133,97,104,102,168,111,81,127,139,179,123,73,135,139,139,172,158,85,80,137,144,141,140,139,139,137,137,136,134,97,106,100,158,138,73,126,135,177,126,67,130,144,149,162,116,70,121,149,140,142,142,141,139,140,139,138,136,99,107,102,140,162,79,93,131,169,125,55,110,141,129,113,82,98,145,140,141,144,143,141,141,136,137,139,137,101,107,105,125,167,125,105,95,143,146,85,67,86,90,77,84,134,136,165,171,167,163,156,144,88,109,149,136,102,107,110,116,138,150,143,116,115,133,92,68,68,75,75,104,122,146,141,128,138,155,143,127,98,73,127,143,102,108,111,116,120,128,147,160,164,139,94,65,64,68,86,91,92,110,79,72,150,162,124,98,84,78,124,145,103,108,109,116,125,124,129,167,188,164,108,64,65,65,75,84,77,60,90,142,174,129,82,95,131,143,145,142,105,109,111,117,124,131,131,149,184,176,121,70,62,60,66,74,58,97,159,152,148,88,77,146,151,146,145,144,105,110,112,119,125,130,136,135,171,187,144,85,59,60,58,56,47,102,132,138,147,82,108,156,146,147,147,145,107,110,113,121,126,131,137,135,164,191,160,108,65,56,54,62,75,99,107,132,137,78,126,156,148,148,147,145,105,111,113,120,125,129,135,136,149,196,174,133,80,55,56,65,77,108,124,120,122,78,134,155,148,149,148,146,105,110,112,118,125,130,134,136,146,197,186,153,101,59,58,64,88,120,123,101,93,70,138,154,150,148,147,146,105,110,112,119,126,132,138,138,146,196,187,163,119,71,55,71,101,124,116,85,71,94,155,152,152,149,148,147,107,112,112,120,127,131,136,138,144,190,190,166,136,87,61,64,105,118,109,75,72,147,156,153,152,150,149,148,106,112,113,119,125,132,135,139,141,177,191,169,148,106,76,61,94,111,96,69,85,158,152,152,151,150,147,147,104,110,113,120,127,133,138,144,143,169,186,180,159,130,92,69,73,96,85,66,120,166,157,158,157,155,153,155,97,101,104,108,111,115,117,122,116,161,193,191,168,137,97,77,70,83,74,71,117,125,121,122,121,121,122,112,67,68,68,69,67,66,66,70,56,146,205,189,164,124,92,80,72,74,74,68,59,58,56,57,57,54,51,100,73,73,73,73,74,72,73,78,63,143,198,180,144,97,83,76,73,76,72,66,66,66,65,65,62,68,140,177
23,130,133,135,140,143,146,150,151,152,154,156,157,158,158,160,160,160,160,158,157,159,158,157,157,156,157,155,152,131,134,136,140,143,147,149,152,154,155,157,159,158,160,161,160,161,161,161,160,160,158,158,158,158,158,157,154,132,134,137,140,144,149,150,153,154,156,158,160,161,162,164,162,162,161,162,162,162,161,161,160,159,157,158,157,134,135,139,143,146,149,152,154,155,157,160,159,159,159,155,164,166,163,164,164,164,163,162,162,159,160,159,159,135,135,141,144,149,151,154,156,157,155,156,166,179,175,138,114,155,166,166,166,164,165,163,162,161,159,160,159,134,136,142,146,148,152,155,157,156,164,187,183,179,168,150,136,136,114,166,167,165,165,164,164,163,161,161,160,136,138,141,146,148,152,155,159,155,182,181,138,142,108,113,131,106,114,168,166,166,166,166,165,164,162,162,162,137,138,143,147,151,155,157,161,159,180,160,127,74,116,166,160,155,170,169,167,167,167,167,166,165,165,164,162,136,140,144,148,152,156,159,162,159,183,163,146,63,136,178,174,175,171,171,171,170,170,167,166,167,166,165,163,138,140,145,149,154,156,159,162,160,186,166,147,88,149,175,123,164,173,171,171,170,170,169,169,168,167,167,165,139,142,146,149,155,157,159,164,161,191,175,181,194,196,181,78,121,184,170,171,171,172,171,171,169,168,168,167,140,144,148,150,154,158,160,160,166,197,205,207,187,176,132,80,106,186,177,173,173,174,172,172,171,170,169,169,140,144,149,152,156,159,160,175,189,196,201,193,183,172,84,109,137,104,159,175,178,175,174,175,172,171,172,170,141,144,148,153,157,157,191,200,192,197,201,195,180,146,73,100,135,66,69,98,136,181,174,175,173,173,172,171,142,145,149,156,158,162,201,185,177,184,184,169,172,122,67,66,103,80,72,83,79,169,180,176,176,176,174,172,142,145,151,157,157,167,198,179,189,201,194,186,165,113,77,59,66,84,80,91,87,162,182,177,177,176,175,175,141,146,151,157,158,158,208,206,205,197,175,155,132,95,84,74,37,60,83,90,92,166,183,178,179,178,176,175,143,146,151,157,160,158,210,205,179,142,108,99,87,91,95,64,19,56,87,95,98,172,183,179,180,179,178,177,145,147,152,157,161,157,198,182,155,112,89,50,64,106,94,48,49,68,87,96,96,175,184,181,180,180,179,178,143,148,153,158,162,156,186,183,144,95,72,42,86,77,50,48,69,81,81,93,105,183,182,182,183,182,180,179,145,149,154,159,165,152,184,181,136,104,84,60,40,31,51,67,81,89,87,91,152,189,183,183,184,184,180,179,144,148,154,158,165,151,181,181,144,113,88,82,53,48,79,93,99,102,89,123,192,185,185,185,185,184,181,181,143,148,155,158,168,147,178,186,149,118,96,93,76,64,94,103,105,104,90,149,195,187,188,186,186,186,184,183,145,149,156,160,168,149,172,183,146,122,101,95,83,69,94,102,103,99,97,172,191,187,188,188,186,186,185,184,146,149,156,161,168,153,167,179,143,123,103,96,87,77,92,99,105,93,126,195,189,188,189,189,188,186,185,185,145,150,156,160,168,160,166,173,142,121,102,92,90,87,95,101,97,113,181,193,190,189,189,189,189,187,185,185,146,150,157,161,168,162,166,168,133,113,97,94,95,93,93,98,115,183,195,192,192,192,191,191,189,188,187,186,146,149,156,161,168,161,169,172,131,109,98,96,96,96,96,93,164,196,190,192,192,192,191,191,189,188,187,186
1,90,95,97,100,104,110,112,112,114,115,118,119,121,123,123,123,124,124,130,126,127,128,127,127,126,125,127,127,95,98,102,104,108,113,115,118,119,120,122,122,124,122,127,127,136,131,103,132,131,129,129,127,127,127,128,129,99,103,106,108,113,116,120,122,124,125,127,127,127,142,108,116,157,136,58,131,136,135,131,132,131,131,130,131,104,108,110,114,117,121,124,127,129,130,132,130,136,166,81,99,162,117,60,133,114,124,139,135,136,135,134,135,108,111,114,119,123,125,129,132,133,134,135,134,149,161,71,110,163,103,66,146,106,79,147,139,139,139,137,136,111,115,120,124,127,130,134,137,137,137,147,124,135,154,70,118,164,94,75,161,109,66,148,142,142,142,141,139,116,121,124,128,132,136,140,143,144,143,168,108,96,135,78,125,170,102,91,166,101,67,150,147,146,145,145,143,121,125,127,131,137,141,145,148,148,151,175,91,96,121,88,125,159,96,95,171,102,69,155,152,150,150,149,147,124,129,132,136,142,143,148,151,152,157,163,78,101,103,77,103,152,86,107,177,107,75,161,155,155,153,153,151,128,132,136,140,145,148,150,156,156,160,170,90,103,111,78,104,169,92,124,170,102,82,167,161,159,157,156,155,130,135,139,143,149,152,154,160,158,166,168,88,93,128,91,105,170,91,137,175,102,89,171,163,163,163,161,160,134,138,143,147,152,155,159,162,161,173,179,105,83,117,75,95,144,74,151,177,107,101,176,164,166,167,165,164,137,142,145,150,156,159,161,165,165,174,188,110,70,98,74,102,121,98,159,160,97,113,180,168,171,169,167,166,141,145,148,152,159,162,164,168,167,176,185,115,103,144,130,142,147,133,120,147,90,124,183,171,174,173,171,170,142,147,151,156,160,164,168,172,170,184,196,148,115,114,159,176,186,144,78,110,76,133,185,176,176,176,174,173,145,148,153,158,162,165,170,175,172,194,183,129,99,63,92,124,145,169,121,54,50,152,187,178,178,178,177,174,147,151,156,161,165,167,172,177,174,200,177,126,86,73,79,93,143,195,166,83,42,171,186,181,180,180,179,178,149,153,159,164,167,171,174,179,177,204,184,125,93,96,102,141,162,187,192,122,55,169,191,184,184,182,181,182,152,156,160,164,168,174,178,180,181,205,180,123,93,104,111,177,189,170,169,127,60,145,197,185,186,185,184,184,154,159,162,167,172,175,178,180,184,204,179,132,101,117,133,201,198,167,129,96,52,145,199,187,187,186,186,184,155,160,165,170,174,177,180,183,184,201,182,136,117,111,149,209,193,150,114,73,49,165,198,189,190,189,189,187,157,163,166,170,176,178,182,185,186,196,178,136,124,109,149,206,176,134,101,59,80,197,192,193,193,190,190,191,158,163,167,171,175,178,183,188,188,190,177,145,138,114,138,192,157,120,85,46,128,207,191,194,194,193,193,192,161,164,170,173,177,181,184,187,188,187,173,150,145,118,135,184,145,108,71,51,170,202,195,196,196,195,194,194,163,165,170,174,179,182,185,188,190,191,180,153,145,110,126,168,130,97,58,74,200,198,198,197,197,197,197,196,161,165,171,177,180,182,185,190,188,193,186,154,137,95,116,137,103,86,47,120,211,199,201,199,198,198,198,197,160,165,170,175,179,181,184,189,182,198,189,174,136,100,119,121,95,70,66,186,203,201,201,199,200,199,198,197,161,165,170,174,180,185,186,185,183,198,190,177,143,113,120,108,88,50,138,208,199,201,201,199,200,199,198,198
3,163,165,168,170,172,173,175,174,174,175,174,173,173,173,174,172,171,169,166,166,164,161,158,154,152,151,149,145,164,167,169,172,173,173,176,176,176,177,176,174,174,173,172,176,173,170,168,167,164,162,160,157,154,151,150,147,165,168,170,173,173,174,175,176,176,176,176,175,173,179,149,124,176,170,169,167,166,163,160,158,155,153,151,149,166,168,170,174,173,175,177,178,177,177,177,177,176,183,147,78,167,173,169,168,167,164,161,157,155,153,151,150,167,169,172,175,176,177,177,177,178,178,178,176,176,182,146,71,151,179,170,168,167,166,162,159,157,155,154,152,168,171,174,176,178,179,180,180,180,181,181,179,177,182,141,63,147,181,171,171,168,167,164,161,159,157,155,153,170,174,176,178,180,183,183,183,184,185,185,183,181,187,161,75,137,184,172,172,171,168,166,164,162,159,157,155,173,176,178,181,182,184,185,186,185,186,185,185,183,180,146,71,124,189,174,174,173,170,168,166,164,161,159,158,174,178,180,183,184,185,188,188,187,188,187,185,190,166,119,70,112,187,177,176,174,172,171,167,165,164,161,159,176,179,183,185,187,189,190,190,191,191,191,188,195,203,171,104,141,131,167,182,175,174,172,170,167,165,163,161,177,181,184,187,190,191,192,193,193,193,194,188,139,135,174,123,162,93,115,193,175,176,174,172,169,167,165,162,178,183,186,189,190,191,193,194,196,194,187,191,142,90,117,128,137,121,58,131,187,177,176,174,171,168,166,164,180,184,188,189,191,192,193,195,196,195,133,121,175,130,85,131,136,133,89,64,154,186,176,176,172,170,168,164,182,185,189,191,192,193,195,197,199,191,151,108,136,160,92,116,121,118,114,61,136,192,178,177,173,172,169,166,182,187,190,192,193,195,197,199,199,153,166,142,102,148,106,52,46,128,124,57,153,191,180,177,176,173,170,168,184,188,191,193,195,197,196,203,182,117,114,143,75,104,97,40,33,125,130,63,166,190,182,178,177,175,172,168,184,187,191,193,195,198,198,204,180,128,72,115,51,76,116,71,70,137,128,64,170,190,183,181,178,177,173,170,185,188,192,194,197,198,200,199,160,118,76,87,74,63,119,74,121,142,111,62,179,191,184,182,180,178,174,171,186,189,193,196,199,200,201,197,176,144,93,70,74,88,144,135,147,124,68,87,199,187,186,184,182,178,175,172,187,190,194,197,198,200,203,200,184,157,109,94,82,150,194,173,133,109,49,143,202,187,188,186,182,180,175,173,188,192,194,198,199,201,204,199,180,160,124,100,95,171,175,151,128,98,62,186,195,190,188,186,183,181,176,174,187,191,194,198,200,201,204,200,169,152,129,112,108,170,167,144,123,72,95,208,192,192,189,187,185,182,178,175,186,191,194,199,200,203,205,206,175,155,142,129,114,158,160,133,102,52,156,207,193,193,192,189,186,183,179,176,187,191,196,199,200,203,206,210,192,160,154,135,110,132,135,109,61,80,209,198,196,193,192,190,187,184,181,178,187,191,196,200,201,203,205,208,202,175,155,135,115,112,116,92,42,159,210,197,198,194,192,190,187,184,182,179,188,192,197,200,202,204,204,208,204,185,151,139,133,118,110,68,76,208,200,199,198,196,192,190,188,186,183,179,187,191,196,199,201,205,207,208,193,184,163,158,141,121,99,50,115,216,198,201,200,199,194,190,189,186,185,181,186,191,196,199,203,206,207,206,182,189,176,158,136,110,83,43,147,214,199,199,198,196,193,191,188,185,183,180
7,124,133,139,139,143,149,154,158,160,161,164,166,167,170,171,173,173,174,175,175,174,174,175,174,173,173,172,171,126,133,138,140,144,149,155,158,161,163,165,167,170,172,172,173,174,176,176,177,176,177,178,176,175,174,173,172,127,134,139,141,145,151,155,158,162,164,166,168,171,173,174,175,177,178,178,178,178,177,178,177,176,177,175,173,128,135,138,141,145,152,155,159,163,165,167,169,171,174,175,177,178,178,179,179,178,179,179,179,178,178,177,175,129,136,139,141,147,152,156,159,163,166,169,171,173,175,177,178,178,179,179,179,180,180,180,180,180,179,178,176,131,138,142,144,148,153,157,161,164,166,170,172,175,177,178,179,179,181,181,181,181,181,180,181,181,180,179,177,132,139,143,145,149,155,159,162,165,168,173,174,176,179,180,182,182,183,183,183,183,182,182,182,182,181,180,179,132,139,143,146,151,154,156,164,165,168,171,172,172,178,180,180,181,184,184,184,186,183,182,182,183,182,182,180,131,140,145,145,147,160,182,183,172,175,185,184,184,181,173,168,177,172,174,174,178,185,187,185,184,184,184,182,134,141,140,148,176,197,202,191,170,162,177,188,192,188,170,171,190,175,164,156,142,167,174,184,185,185,184,185,130,140,167,195,201,197,200,189,162,154,163,174,179,178,156,156,173,163,156,149,140,154,140,186,191,187,186,186,157,192,203,200,197,199,198,177,156,155,169,191,194,199,181,176,172,164,177,169,153,148,153,164,174,188,187,186,205,204,200,207,200,200,203,188,136,124,131,153,158,161,166,171,169,171,177,180,170,166,170,152,165,162,184,187,207,207,206,207,202,207,213,182,122,103,112,100,85,105,125,135,139,141,141,146,148,148,150,144,156,146,186,189,211,208,206,207,206,208,203,150,110,106,107,109,87,66,82,176,179,182,179,176,171,164,164,162,161,178,189,187,206,205,202,204,203,206,193,142,97,100,118,119,114,94,92,191,191,191,192,194,194,194,194,194,193,190,188,188,211,209,208,210,212,217,199,131,96,83,76,113,134,109,86,165,195,189,191,191,191,189,188,189,188,188,189,187,208,207,204,197,199,200,161,123,99,98,71,80,112,112,108,175,194,190,192,192,193,192,192,192,190,190,190,189,196,194,182,174,181,167,137,121,113,101,96,87,119,145,169,190,190,191,192,193,193,194,193,193,191,191,190,190,181,172,167,163,166,144,116,111,107,109,94,92,174,193,190,189,190,192,192,193,193,195,193,192,193,193,191,190,155,156,146,132,122,121,138,147,126,124,125,147,186,184,187,190,192,192,193,193,192,193,194,193,193,192,192,190,125,122,113,115,131,155,168,174,176,176,181,184,184,186,188,190,191,193,192,193,193,193,193,192,191,190,191,190,101,95,96,117,127,123,121,122,122,122,122,122,123,125,126,125,125,127,128,125,124,123,122,121,119,119,118,117,79,96,102,98,102,100,98,96,96,97,96,97,98,99,97,94,94,95,96,97,98,97,97,96,92,92,92,91,95,102,106,106,107,108,107,106,108,108,109,107,107,107,105,110,110,106,105,104,104,104,104,102,99,101,101,92,98,101,107,107,107,108,106,104,105,106,106,105,104,104,103,110,111,109,109,104,102,101,101,101,101,98,92,129,99,97,107,108,108,107,106,106,107,107,106,106,107,105,105,105,103,104,105,103,102,101,101,103,97,107,163,188,97,91,103,109,109,109,109,108,108,109,108,108,108,108,108,106,104,104,104,103,104,102,100,99,102,183,177,157
13,156,159,164,166,168,169,171,173,174,177,177,177,178,179,179,180,180,180,179,179,178,176,174,174,173,173,171,170,157,160,165,167,169,171,172,175,176,178,179,179,179,180,180,181,181,181,181,181,181,178,177,176,175,175,173,171,157,161,166,169,170,171,173,176,179,179,181,182,182,183,184,184,185,183,182,185,184,180,179,179,177,176,175,174,158,162,167,169,171,173,175,178,180,180,182,184,184,184,179,158,156,186,179,158,160,182,181,181,179,178,177,176,159,163,168,171,172,174,176,179,180,181,183,186,185,186,173,139,108,142,157,126,91,139,187,182,181,179,179,177,160,164,169,172,173,174,178,180,181,183,184,186,185,192,192,156,131,88,130,134,96,86,186,184,182,181,180,178,161,165,170,173,174,176,179,181,183,184,185,186,187,189,200,165,132,81,107,134,101,70,177,187,184,182,181,179,162,166,170,173,174,177,181,183,184,186,187,188,189,190,188,164,122,84,79,112,89,63,171,188,184,183,183,182,162,166,170,174,176,178,181,184,185,187,188,188,184,193,179,163,120,92,70,103,84,63,174,188,185,185,184,182,162,167,172,176,176,179,182,184,187,189,190,178,136,126,128,152,147,110,79,116,99,72,183,189,187,186,184,182,163,168,172,175,177,180,182,185,187,189,196,170,122,100,91,144,174,129,85,107,100,59,158,194,188,187,185,184,163,168,173,176,178,181,183,185,188,185,172,164,134,123,89,91,158,119,77,87,81,66,97,192,190,188,187,186,163,169,174,177,179,182,185,185,188,172,117,115,153,134,110,51,58,53,70,84,82,93,78,148,196,189,187,186,163,168,174,178,180,181,184,189,201,158,118,95,141,141,117,81,29,44,59,85,111,113,95,92,193,191,189,187,163,169,174,178,180,182,184,199,179,152,132,118,105,141,122,102,46,60,101,113,127,119,102,71,177,194,190,188,164,170,175,179,180,182,186,201,157,143,140,120,96,121,122,93,53,63,135,153,144,107,94,71,179,194,190,189,165,170,175,180,181,183,187,199,163,120,118,110,94,76,96,70,54,79,148,153,146,111,78,83,193,193,191,189,165,171,176,180,183,183,188,189,172,142,108,88,65,39,74,83,72,117,166,150,139,107,67,110,201,194,192,189,166,172,176,181,182,184,187,190,186,162,128,100,81,73,84,95,106,172,171,143,125,101,61,144,201,195,193,190,167,172,177,181,182,186,187,188,185,171,146,130,108,108,121,142,166,180,160,135,113,93,62,174,198,195,193,192,166,172,178,181,182,186,187,189,180,165,147,126,106,109,129,179,177,165,146,125,104,80,73,194,198,195,194,192,166,172,177,181,182,185,188,191,169,154,146,127,112,115,122,165,169,157,134,112,95,68,95,204,198,197,194,193,166,172,177,182,184,186,189,194,175,156,147,131,124,119,119,159,165,154,127,100,85,54,141,205,199,197,195,193,166,173,179,182,183,186,188,194,190,158,147,139,127,114,112,143,154,140,110,86,67,67,192,201,199,196,195,193,167,173,179,181,183,185,188,193,196,180,152,139,124,113,107,126,140,127,99,80,52,131,206,200,198,196,195,194,167,173,179,182,183,186,189,192,194,196,169,141,121,110,110,118,132,123,97,78,60,183,203,200,199,198,195,193,166,172,178,181,183,184,188,191,193,193,180,152,135,128,131,127,130,125,92,70,95,202,200,198,198,196,195,193,164,171,176,180,181,183,187,189,193,187,184,161,149,146,139,133,129,117,88,65,131,206,200,197,196,195,194,192
15,3,45,55,72,83,93,103,115,128,133,138,144,148,152,156,158,161,165,166,169,172,174,176,176,179,181,183,186,6,48,55,74,84,95,104,116,129,132,139,146,150,154,156,159,164,166,168,171,174,175,176,178,180,184,186,187,10,50,60,75,86,96,103,118,131,133,140,146,150,153,157,162,165,166,169,172,174,176,177,181,182,185,187,188,16,53,61,78,89,93,104,120,132,134,139,146,150,155,159,163,165,165,170,174,174,176,180,182,183,185,186,188,25,54,63,77,86,119,115,117,131,138,141,146,149,156,160,163,165,167,170,173,175,179,181,183,185,186,187,190,30,55,67,76,95,175,133,111,104,121,142,150,151,155,160,164,166,168,172,173,176,179,181,183,186,186,188,191,38,55,67,80,93,142,142,128,113,99,107,131,151,161,161,164,166,170,173,174,177,181,183,185,185,185,187,191,43,54,68,83,91,101,121,120,118,111,114,112,112,127,158,169,167,169,173,175,177,181,183,186,185,186,189,192,45,56,70,80,92,101,109,120,106,112,122,129,122,108,101,135,166,174,174,174,176,181,184,187,187,188,191,194,48,58,72,83,93,104,112,127,126,125,124,124,125,120,107,102,108,143,174,179,179,181,184,186,187,189,193,195,52,61,74,84,94,103,111,126,134,138,141,126,107,112,125,126,112,100,110,147,178,187,183,185,187,190,193,196,51,62,75,85,95,104,116,129,133,138,146,148,135,122,103,103,112,105,102,110,110,148,188,186,189,191,193,196,52,62,76,87,95,104,118,131,132,141,160,119,103,127,122,85,75,93,119,125,127,97,127,192,187,193,195,196,53,63,77,88,96,103,117,131,131,152,159,124,89,85,118,118,108,120,122,133,141,119,76,140,202,191,195,197,54,63,79,88,97,106,120,132,131,146,131,113,114,118,129,104,116,124,110,127,136,124,112,85,181,196,194,197,56,66,79,89,98,105,119,129,134,140,145,118,131,158,144,111,80,82,64,116,145,123,139,96,112,203,193,196,56,68,80,88,97,106,119,129,135,134,176,138,119,154,139,116,111,98,76,93,103,117,127,113,70,167,202,195,57,69,79,87,98,105,118,132,130,151,167,115,78,86,124,136,133,129,113,93,89,88,99,108,85,102,204,195,57,69,79,88,98,106,121,132,128,165,138,86,73,22,31,94,147,149,140,129,121,90,73,88,92,64,169,205,58,70,81,89,99,107,123,127,137,173,111,63,58,36,20,7,69,153,156,150,139,101,73,82,86,65,107,210,59,71,82,91,100,108,125,122,151,157,80,63,103,85,63,30,0,101,162,151,138,109,93,86,84,79,66,174,60,70,80,89,101,111,123,135,158,109,55,126,141,107,104,86,15,45,165,150,140,127,118,102,89,85,70,102,61,73,82,92,101,110,122,142,113,71,94,167,153,116,117,112,87,58,150,159,152,143,135,118,98,87,83,72,63,74,83,92,99,110,126,130,113,115,145,146,143,130,106,107,106,95,125,158,157,152,140,124,110,97,90,84,63,74,82,92,100,111,124,129,138,147,148,153,144,121,90,86,80,112,118,135,152,148,139,127,115,102,96,89,63,74,82,92,99,113,125,129,134,142,147,152,160,162,150,136,115,113,129,101,126,136,133,127,118,107,94,92,63,74,81,89,97,112,125,129,135,143,147,151,157,162,169,171,170,171,154,129,119,137,130,126,122,113,98,94,63,74,80,87,96,110,123,126,133,141,146,152,158,162,164,167,172,186,187,173,157,154,135,119,118,120,113,103
7,199,202,204,207,209,208,211,211,211,212,211,211,212,211,211,210,210,208,209,208,205,204,205,203,200,201,200,198,202,204,205,209,211,212,213,213,212,213,212,213,211,211,211,211,211,209,209,208,208,206,205,203,202,202,201,199,202,204,208,211,211,213,215,214,216,216,214,214,214,213,212,213,213,211,211,208,209,208,207,205,205,204,203,201,205,206,209,211,213,214,215,216,216,216,216,216,216,216,215,214,212,212,212,211,211,210,209,207,207,205,204,203,206,208,211,212,215,215,215,217,217,217,217,217,216,215,216,216,215,215,213,212,211,211,211,208,207,206,206,204,206,211,212,214,215,216,217,217,217,217,217,218,217,216,216,215,217,217,216,216,215,212,208,210,209,209,207,204,208,210,213,217,217,216,218,219,219,219,219,219,220,220,221,219,217,214,209,204,185,195,211,196,212,210,208,207,211,211,213,217,217,219,220,224,224,225,222,216,212,204,196,194,195,185,178,178,156,197,219,167,206,209,212,208,211,212,215,216,218,221,218,210,200,202,201,192,179,163,155,171,189,185,169,162,151,157,172,151,204,208,194,211,212,215,215,218,221,213,201,179,172,170,168,175,170,165,150,145,152,137,142,149,145,144,157,168,221,220,147,208,214,216,216,217,216,205,189,177,177,169,157,159,168,164,140,136,130,158,179,196,175,172,169,169,172,166,156,214,213,215,214,206,196,192,191,188,174,137,132,155,178,173,159,155,144,161,177,180,162,148,132,126,135,169,209,216,212,208,201,196,193,193,185,188,172,122,125,139,147,145,141,147,134,130,141,126,123,127,157,190,211,221,216,215,205,201,199,198,198,185,176,176,175,152,116,100,90,89,91,104,105,115,136,163,191,213,226,224,219,216,216,215,203,200,197,192,185,180,178,177,182,172,130,95,71,101,156,161,181,200,225,232,228,223,220,219,218,218,217,216,201,195,188,182,178,174,172,171,169,151,128,101,89,103,212,244,233,232,227,222,223,223,222,221,220,219,218,216,196,187,180,173,168,163,159,154,152,143,116,91,94,92,87,209,234,226,227,224,225,223,224,222,222,220,220,219,186,188,173,170,159,158,154,150,149,145,118,86,89,111,83,123,242,227,229,227,227,225,224,223,222,221,221,220,91,156,176,169,162,156,154,156,158,156,121,85,81,102,97,121,239,230,230,229,228,227,226,224,222,222,222,220,59,68,146,177,168,161,152,145,143,133,111,93,88,78,70,153,245,230,232,229,228,228,228,225,224,223,223,221,63,55,65,153,174,163,154,141,128,117,104,101,98,81,75,98,230,235,232,230,230,229,227,226,225,224,223,222,57,59,48,78,156,148,139,130,122,109,102,100,100,88,75,104,232,234,233,231,231,230,229,227,226,225,223,222,55,51,52,48,94,127,115,101,99,75,77,97,90,103,168,205,239,232,231,232,231,230,230,228,228,226,224,223,49,47,50,52,40,52,97,146,71,63,74,84,99,207,252,239,236,235,234,232,233,230,230,229,228,227,224,224,40,43,48,57,28,50,206,213,62,71,83,131,215,245,235,237,236,236,235,232,234,232,230,229,229,228,226,224,42,39,56,45,65,215,248,236,177,170,206,242,243,236,238,237,236,236,236,233,231,232,231,230,230,228,228,224,70,54,43,73,225,240,233,237,245,246,244,236,235,237,237,237,237,236,235,232,232,230,231,230,229,228,226,223,54,51,31,148,249,230,237,237,235,236,236,237,236,237,237,237,237,236,235,232,232,231,230,230,228,228,226,223
4,180,182,182,183,186,187,189,190,190,190,190,190,190,192,190,191,189,190,191,190,190,190,192,191,190,189,188,188,183,183,185,188,189,190,190,191,191,191,191,191,191,190,191,194,197,193,191,192,195,194,191,193,192,190,190,191,185,187,189,191,192,191,192,192,192,194,194,195,197,198,190,167,155,185,185,154,157,197,198,194,196,194,193,192,189,190,191,192,192,193,194,195,194,194,195,183,176,184,209,198,161,128,135,170,138,110,181,202,197,197,196,195,190,191,192,193,196,197,197,197,198,199,199,196,174,130,134,208,190,131,62,101,150,75,102,214,195,197,198,198,192,193,195,197,197,198,198,195,195,183,200,209,191,139,76,123,196,125,72,36,115,85,79,209,197,200,200,199,195,197,196,198,198,199,198,200,196,136,107,147,197,148,78,33,174,145,93,26,100,116,79,204,204,202,200,201,196,198,199,200,200,198,202,199,199,141,66,49,175,177,99,17,137,200,133,39,93,153,89,202,205,203,203,203,197,200,202,201,202,200,204,169,164,152,106,23,145,207,99,66,151,196,141,65,61,136,117,212,204,204,204,204,198,200,200,203,205,203,206,177,103,152,154,52,88,185,106,57,95,140,132,62,46,78,60,195,210,205,206,206,199,201,203,204,205,204,209,186,143,139,141,75,56,87,84,73,69,89,99,59,68,101,69,116,220,205,209,207,201,202,205,205,206,205,211,204,179,140,99,67,64,78,72,85,90,81,74,62,139,150,134,89,182,217,207,208,204,205,206,207,207,207,214,203,165,140,107,84,87,91,94,112,114,118,132,127,143,176,159,105,101,221,209,210,204,205,206,208,208,208,214,197,150,121,103,88,103,114,137,149,165,186,206,200,167,159,130,90,52,177,220,209,204,205,208,210,210,209,214,203,163,132,111,99,120,122,164,200,180,200,200,194,180,151,115,75,50,129,230,209,206,207,210,212,212,210,213,219,183,146,115,106,118,128,190,199,188,198,196,189,169,146,114,78,47,155,225,210,206,209,211,212,213,213,210,218,195,162,129,106,118,139,194,200,199,206,203,186,171,149,109,70,66,208,217,214,208,210,211,212,213,214,212,217,211,177,142,111,138,141,184,204,212,217,211,195,172,131,100,57,120,232,216,218,209,211,211,212,214,215,213,215,218,190,151,126,153,152,174,208,218,220,225,209,162,118,91,55,179,227,216,218,210,212,213,214,215,217,213,210,215,209,157,136,155,163,183,209,223,227,231,199,146,117,74,79,223,220,220,218,212,213,214,215,217,218,218,205,202,208,170,143,155,161,188,213,217,231,211,168,131,112,57,133,236,218,221,220,213,214,214,215,218,218,222,200,196,209,187,157,149,158,184,211,208,208,180,148,121,96,53,195,229,219,221,220,214,214,215,216,216,216,222,208,190,208,197,175,159,162,179,199,202,178,157,131,102,63,116,235,221,221,221,220,213,214,214,215,216,218,220,220,191,188,192,182,170,166,166,171,176,154,131,101,69,72,213,227,223,224,224,222,210,212,212,213,214,216,217,223,199,183,191,180,171,165,150,150,160,142,111,82,43,150,236,220,223,224,224,222,211,212,212,214,215,217,218,223,202,190,186,171,163,158,139,134,144,128,83,68,55,205,227,222,223,222,223,222,214,214,215,216,217,218,218,222,206,190,173,143,151,149,140,139,131,109,78,57,86,229,223,225,224,222,223,222,214,214,217,218,218,218,218,223,210,191,183,157,173,168,156,144,127,107,88,48,118,235,222,225,225,223,222,223
4,83,90,104,116,122,128,132,136,140,142,144,146,149,152,154,157,159,160,162,163,164,165,166,167,167,167,167,168,84,92,106,117,123,129,133,137,141,143,145,147,150,152,155,157,158,160,162,163,165,166,167,168,169,168,169,169,85,93,108,118,124,130,134,139,142,144,146,149,150,155,162,156,144,146,155,151,154,166,169,169,171,171,171,171,86,95,109,119,125,130,135,140,144,147,155,160,152,151,169,157,120,106,129,123,116,153,170,171,172,172,172,172,87,96,111,120,127,132,136,141,150,153,153,163,157,132,141,143,107,81,103,110,92,130,170,172,173,174,174,173,88,99,113,121,128,133,137,145,167,167,148,136,129,110,109,128,100,78,108,111,83,120,170,173,174,175,175,175,89,100,114,122,129,134,138,155,177,173,154,123,94,85,99,135,109,96,127,107,76,123,172,175,176,177,177,177,90,102,115,123,129,134,139,163,166,154,145,108,77,71,88,128,124,134,140,112,86,133,173,176,177,178,179,179,91,104,116,123,130,135,142,168,155,141,136,93,69,73,81,113,136,147,139,129,112,133,169,177,178,179,180,180,93,105,117,124,131,136,147,176,160,143,129,91,65,94,118,130,137,131,131,143,132,125,146,174,180,180,181,181,95,108,119,125,131,136,153,177,153,130,114,85,57,93,123,122,116,103,124,152,150,136,122,147,176,181,182,182,97,110,120,126,132,137,160,176,146,120,100,74,50,58,80,87,88,96,126,151,158,146,122,115,155,181,183,184,98,111,120,127,132,139,171,182,153,128,107,83,60,54,64,80,110,147,157,157,152,138,123,104,128,177,184,185,99,111,121,128,133,142,181,185,158,138,114,89,73,75,103,137,166,179,170,156,139,118,109,99,127,178,185,186,100,112,121,128,133,146,189,189,168,145,117,98,86,103,148,176,186,185,170,148,127,104,94,100,149,183,186,187,101,113,122,128,133,149,194,193,171,144,120,108,101,130,169,182,187,181,162,138,116,96,87,117,172,186,187,188,103,114,122,129,134,149,193,193,169,145,129,122,119,148,173,179,181,172,150,127,107,90,93,148,184,187,188,189,105,115,123,130,136,150,190,191,170,154,146,135,136,158,172,177,170,156,137,116,100,88,117,173,187,188,189,190,105,116,123,130,136,147,183,190,178,167,155,141,142,160,169,168,156,140,124,106,92,95,151,185,188,189,190,191,107,116,123,130,137,144,174,192,185,173,156,138,132,148,156,153,140,126,113,98,88,122,176,189,189,190,191,192,108,116,123,130,137,143,166,189,180,168,152,132,124,136,145,141,128,115,103,90,101,158,187,190,191,192,192,193,110,117,124,131,138,143,159,182,170,156,142,128,126,134,141,137,122,107,95,90,135,181,189,191,192,193,193,193,111,117,124,132,139,143,154,174,161,149,139,132,137,132,131,129,115,99,87,107,168,188,190,191,193,194,194,194,111,118,126,133,139,145,157,175,164,153,145,144,144,130,120,119,107,92,87,137,183,189,190,191,193,194,195,195,112,118,126,133,139,150,171,177,169,158,151,147,138,124,112,109,100,87,90,156,188,189,190,193,194,194,195,196,113,119,126,134,141,163,182,176,159,151,151,144,130,118,104,99,92,83,89,158,189,190,192,194,195,195,196,196,114,119,127,134,149,180,183,180,161,132,135,134,123,111,95,90,87,79,88,158,189,191,193,194,195,196,196,197,114,120,128,136,162,185,181,182,177,140,110,117,117,106,88,86,84,76,85,156,189,192,194,194,195,196,196,197
6,236,239,242,242,243,242,244,244,242,243,243,241,240,239,239,240,238,237,234,233,232,231,230,230,228,226,222,220,239,240,243,246,246,246,246,246,245,245,246,245,243,239,239,240,238,237,235,235,235,235,234,231,231,228,225,222,239,242,244,247,248,248,249,248,248,246,246,246,244,243,241,242,241,238,237,236,236,235,233,231,230,229,227,225,240,243,246,247,248,251,250,250,252,249,248,249,246,246,244,242,243,242,239,239,238,237,235,233,233,231,229,228,243,246,247,249,251,253,252,251,253,251,250,249,250,248,246,246,247,244,240,235,236,235,236,230,229,226,219,225,245,247,249,253,254,254,255,254,254,254,255,254,251,246,238,233,227,227,224,195,202,218,217,198,214,204,226,255,247,249,251,253,255,255,254,255,253,252,238,226,230,232,224,227,229,230,218,211,202,229,226,206,216,210,216,245,247,249,253,255,255,255,255,254,255,255,226,204,218,232,235,241,242,239,218,195,196,190,191,174,164,165,154,165,249,252,253,255,255,255,255,252,255,255,236,220,207,208,210,203,198,188,178,164,132,132,117,140,178,184,208,225,251,252,255,255,255,255,255,255,255,255,255,236,212,197,190,180,173,160,141,115,83,68,86,227,250,244,243,237,253,254,255,255,255,255,255,255,255,255,255,226,185,180,189,198,193,185,171,162,159,106,195,254,238,239,237,236,253,255,255,255,255,255,255,255,255,255,254,188,162,174,179,193,198,193,181,169,171,123,206,253,243,242,240,237,254,255,255,255,255,255,255,255,255,255,217,171,180,174,161,168,190,173,165,165,148,103,216,253,245,243,240,238,255,255,255,255,255,254,255,255,255,255,243,223,199,178,149,160,193,181,176,178,145,137,254,248,246,245,242,239,255,255,255,255,255,255,255,255,255,255,255,255,208,176,188,197,194,181,167,152,151,131,229,254,246,245,242,240,255,255,255,255,255,255,255,255,255,255,255,255,196,162,173,179,181,173,153,144,141,108,228,254,247,246,244,241,255,255,255,255,255,255,255,255,255,255,255,247,195,168,160,149,157,164,160,152,119,148,255,249,248,248,244,239,255,255,255,244,255,255,255,255,255,255,255,255,232,206,158,119,140,164,157,153,111,201,255,246,249,245,240,243,255,255,251,238,255,255,255,255,255,255,255,255,255,239,174,144,168,187,168,143,126,137,254,248,245,245,252,228,255,255,238,255,255,255,255,255,255,255,255,255,255,220,157,143,154,151,139,125,105,132,254,252,255,249,180,98,255,247,250,255,255,255,255,255,255,255,255,255,240,189,151,147,141,128,116,110,121,228,255,241,181,112,60,52,255,240,255,255,255,255,255,251,242,247,243,223,194,162,147,130,117,170,184,208,236,213,152,91,53,49,51,50,240,250,255,255,255,255,242,238,235,231,226,196,170,155,161,142,178,219,182,153,106,68,36,29,40,48,44,41,227,255,255,255,253,239,224,218,230,221,208,193,180,158,127,92,84,56,41,37,41,51,20,25,33,40,38,39,246,255,255,255,247,235,217,208,208,198,182,170,143,108,72,46,32,39,37,43,48,38,9,19,26,34,36,34,255,255,255,253,240,215,192,190,178,155,139,121,90,58,45,56,28,25,30,36,43,31,4,14,22,33,34,29,255,255,255,255,222,180,177,171,160,140,100,70,51,38,37,52,35,16,31,32,35,25,1,12,23,34,30,30,255,255,255,247,184,169,194,178,148,117,61,47,36,32,32,44,36,20,31,20,31,17,0,13,24,33,26,25
5,183,184,186,188,190,190,190,190,191,187,202,158,166,193,187,188,187,185,186,187,183,184,183,180,184,124,80,85,185,186,187,190,191,190,192,191,192,188,214,139,137,197,188,189,188,190,181,173,187,183,184,190,157,79,91,104,186,188,189,190,192,193,193,194,196,194,214,131,153,199,190,190,187,199,159,125,193,185,185,184,110,76,94,111,187,190,191,192,193,194,195,194,181,205,199,122,177,198,191,191,191,182,124,136,194,185,191,163,87,84,93,105,188,190,193,194,195,196,199,208,124,200,185,121,191,197,193,195,177,147,113,182,192,186,194,139,82,95,107,114,189,191,194,195,197,200,197,215,128,177,182,126,199,196,198,183,153,114,157,197,190,189,194,149,92,103,106,111,191,193,195,196,198,200,198,221,153,155,167,134,203,200,181,157,130,134,201,193,192,189,195,167,101,107,104,98,192,194,196,198,200,201,201,212,162,143,141,150,210,179,144,135,117,184,200,195,193,192,193,183,107,95,90,92,194,196,198,199,201,203,201,215,177,133,121,167,201,142,126,111,166,202,195,196,195,193,193,199,132,73,78,95,195,197,199,199,202,204,201,220,196,138,130,158,170,128,114,139,208,198,198,197,196,196,194,201,155,82,83,80,197,198,200,201,205,205,204,215,194,137,132,137,143,129,113,171,207,200,198,197,198,196,195,199,178,148,147,114,198,200,201,204,206,205,206,208,191,139,119,118,122,121,120,199,207,194,199,202,199,199,197,198,186,123,177,177,200,202,203,205,206,207,206,208,198,157,125,117,109,106,150,205,163,138,148,194,205,200,198,199,181,138,189,152,200,202,204,206,207,208,208,206,206,174,127,111,110,104,132,139,126,143,145,152,177,198,200,202,199,171,132,138,201,202,204,206,208,209,209,207,214,192,147,115,109,111,108,117,131,125,151,170,161,172,179,177,185,199,149,170,202,204,206,206,208,209,211,210,221,210,178,131,110,111,118,109,103,110,143,142,160,170,164,134,135,186,188,182,201,204,207,208,211,211,211,211,221,220,192,139,112,106,114,103,139,190,201,174,165,147,161,162,147,119,187,189,203,205,207,209,211,212,212,211,225,228,194,143,116,107,95,145,225,207,210,208,173,171,178,157,135,148,195,141,203,205,208,211,212,213,213,212,228,233,198,149,119,103,88,124,177,217,201,156,156,174,150,128,181,204,204,166,204,206,208,210,212,214,214,213,228,235,200,153,123,97,96,105,110,174,144,149,166,141,109,181,209,199,200,196,205,206,209,211,213,214,214,217,230,232,197,153,124,97,97,111,116,104,125,155,139,117,173,208,201,202,201,199,205,207,209,212,212,215,213,217,234,229,193,154,124,98,100,114,119,121,130,135,124,189,213,203,203,203,201,200,206,206,208,210,212,213,212,216,233,225,185,150,124,100,103,121,123,125,119,114,187,213,205,205,203,202,200,199,206,208,209,211,213,214,213,219,229,215,178,151,125,98,106,125,128,124,110,177,213,204,207,206,203,201,201,200,206,208,209,212,213,213,208,224,228,209,179,155,122,97,102,124,131,113,139,219,205,207,207,207,204,202,202,201,206,207,209,211,214,208,212,234,228,205,180,155,122,103,103,125,127,104,181,213,207,208,207,206,204,202,202,201,206,208,211,212,214,202,229,236,221,199,182,154,118,105,112,128,107,135,215,208,208,208,207,205,204,203,203,200,206,208,211,215,204,207,237,230,210,195,181,148,114,106,115,115,112,200,213,209,208,207,207,206,206,204,204,193
4,130,139,151,158,160,164,167,171,174,175,178,180,182,185,186,188,190,192,194,196,198,199,200,201,201,203,205,205,132,140,151,158,160,165,170,172,175,176,180,182,182,182,184,188,194,192,195,197,198,200,200,201,202,203,204,205,134,143,151,158,162,167,171,173,177,176,175,178,187,197,177,171,175,197,193,199,201,200,202,203,202,203,203,204,135,144,155,159,164,169,171,174,176,190,193,171,168,203,215,184,141,149,178,156,184,203,201,204,204,205,204,205,137,145,157,161,165,169,172,173,173,213,226,208,170,139,209,183,141,108,174,131,133,210,200,205,205,206,207,207,138,146,156,162,167,170,171,194,197,182,158,209,177,122,166,172,129,103,157,137,126,207,203,206,205,207,207,208,140,149,158,163,168,167,188,236,214,175,124,178,171,118,135,189,143,103,172,158,119,200,205,207,207,207,208,208,140,151,160,163,168,165,204,212,212,172,123,149,191,126,105,195,161,90,187,167,106,198,209,207,208,209,209,209,141,153,161,164,169,165,209,209,187,195,159,117,198,154,67,154,196,127,145,150,163,152,190,210,208,210,210,211,143,153,159,165,171,166,210,210,166,181,162,88,136,143,86,135,202,167,142,150,165,142,157,214,208,212,212,213,145,155,163,166,172,166,210,217,195,167,137,116,105,134,126,145,171,172,168,154,146,169,144,202,213,211,212,212,147,157,164,167,173,170,227,217,185,165,149,125,127,155,136,158,174,170,158,153,176,192,146,177,220,212,214,214,148,158,165,169,172,176,236,214,176,154,137,121,133,151,154,168,187,162,127,175,210,195,167,154,220,214,214,215,149,159,165,169,171,183,240,209,179,157,140,130,140,150,172,176,190,204,204,182,184,198,175,139,206,219,214,214,150,159,165,170,170,191,248,213,181,157,147,133,143,158,182,189,200,218,215,204,195,174,161,122,182,224,216,218,153,160,166,172,170,189,252,217,187,167,145,134,143,161,188,201,214,221,215,205,194,169,144,113,176,227,217,220,155,161,166,172,171,188,254,223,199,175,146,141,146,162,196,213,221,222,214,204,185,166,141,112,197,224,218,220,156,162,165,171,172,190,255,223,204,182,161,154,153,167,206,225,227,221,206,195,181,159,129,129,224,218,220,220,156,162,165,172,173,188,250,225,211,191,178,157,162,183,213,236,230,220,205,188,171,149,111,167,230,217,221,221,157,163,166,173,176,180,236,231,219,201,192,174,167,200,208,231,227,216,204,182,161,131,113,209,223,220,221,222,156,162,167,173,177,175,223,235,224,210,199,188,172,193,203,223,222,212,199,178,158,118,147,230,219,221,222,222,158,162,167,173,178,177,208,245,227,217,203,189,177,187,200,221,217,202,194,176,155,118,195,226,221,221,222,223,159,162,167,174,178,179,198,255,231,216,200,184,180,186,201,214,205,190,179,174,144,144,227,221,222,222,222,223,160,163,167,174,180,181,196,255,224,209,199,189,188,191,200,202,187,178,165,154,134,205,224,222,223,223,223,223,159,163,167,173,180,181,198,252,213,209,207,203,197,192,194,197,183,170,158,123,186,225,221,223,223,223,223,223,160,164,168,175,179,178,201,246,214,216,213,208,208,196,189,190,178,163,134,137,227,217,221,221,224,224,224,224,159,163,168,175,180,179,203,248,233,218,208,212,216,197,181,177,170,155,113,172,227,217,221,222,224,224,224,224,158,164,170,175,180,180,204,245,239,217,210,219,217,190,177,170,169,143,110,202,225,219,223,224,224,224,225,225
21,126,129,132,132,132,134,134,134,134,134,135,129,132,135,131,130,128,127,126,126,124,121,119,118,117,116,114,112,127,131,133,134,134,135,135,136,137,136,140,111,83,135,134,132,130,129,128,128,126,124,121,122,119,118,116,114,128,131,134,135,136,137,138,138,139,138,139,121,67,98,143,132,134,133,130,130,128,127,122,108,121,120,118,116,130,132,135,136,138,139,140,141,141,141,140,130,90,56,137,136,135,135,133,132,131,129,120,61,92,128,119,119,131,134,136,138,139,140,142,143,142,142,143,139,107,44,114,144,135,136,135,134,130,131,111,50,85,131,120,120,133,136,139,139,140,141,142,143,143,145,145,143,125,68,83,148,138,139,137,136,133,132,101,45,102,130,123,122,134,137,140,141,142,143,144,144,144,147,146,146,138,86,60,142,141,140,138,138,136,127,82,46,121,128,124,122,136,140,141,142,144,145,147,146,146,148,148,147,148,96,47,126,145,140,139,139,138,122,72,62,135,126,127,125,138,141,143,143,145,147,148,148,148,149,149,148,149,115,55,105,151,140,142,140,130,105,53,86,138,128,129,126,139,142,144,146,146,146,147,148,148,151,151,149,143,132,80,82,153,140,142,141,121,88,35,116,136,129,128,126,140,141,144,146,146,147,148,149,149,152,153,151,147,144,109,67,132,152,145,143,123,72,52,139,132,133,130,128,141,142,144,147,148,149,150,150,151,152,153,153,150,149,142,98,80,122,134,124,107,53,92,144,132,133,132,130,141,143,145,148,150,150,151,153,153,154,154,154,150,99,103,114,76,74,76,85,60,37,124,140,134,134,133,132,142,144,146,149,150,151,152,154,155,155,155,155,146,88,53,93,89,83,89,92,33,54,148,137,137,136,134,133,142,145,147,149,150,152,154,155,155,155,155,156,129,113,71,69,91,72,78,77,36,62,150,138,138,137,135,133,143,146,149,150,151,154,156,155,156,156,157,133,87,110,82,53,74,31,65,97,55,34,139,141,138,138,136,134,144,148,149,152,153,155,156,157,157,157,155,131,81,88,84,31,45,20,50,104,74,27,93,150,137,138,137,135,145,148,150,153,154,156,156,157,158,158,155,136,86,68,67,17,44,45,102,114,101,42,42,146,138,138,137,135,145,149,152,154,155,157,158,158,161,159,150,120,87,58,51,17,47,89,136,117,92,41,38,144,140,139,137,136,146,149,152,154,156,157,158,160,160,159,148,133,113,71,38,27,70,135,124,101,77,25,54,151,140,141,139,136,148,149,152,154,156,157,158,159,159,160,148,137,119,82,60,59,126,143,112,85,73,19,79,154,140,141,139,136,148,150,153,155,157,158,159,160,160,162,146,134,120,90,59,63,131,129,111,86,68,20,100,154,141,141,139,137,147,150,153,155,156,157,159,161,161,162,145,122,113,88,61,63,121,124,102,80,55,19,120,151,142,141,139,138,147,151,154,156,157,159,159,161,161,163,149,119,116,96,74,64,113,117,95,68,35,26,144,146,144,142,140,138,148,149,154,157,158,159,160,162,161,162,159,130,117,100,79,54,94,95,72,52,11,57,158,143,144,142,140,139,147,148,151,154,155,157,158,160,159,160,160,142,127,105,76,56,71,78,58,40,2,104,154,142,143,140,139,138,146,149,151,153,156,158,158,159,160,160,160,147,128,104,79,67,63,71,70,25,33,148,145,143,141,140,139,138,147,149,152,155,156,158,159,159,160,160,158,148,132,108,94,88,73,74,64,13,91,157,144,144,141,140,138,136
8,98,107,111,117,123,128,131,135,138,142,145,147,148,149,151,152,152,153,153,153,154,153,153,153,153,152,152,151,101,109,114,121,127,133,137,138,145,147,149,152,153,154,154,154,155,156,156,156,156,155,154,155,154,152,153,152,108,114,119,126,134,139,141,162,134,151,156,157,159,159,160,159,158,160,162,161,160,159,158,158,156,156,155,154,110,119,122,130,138,142,149,187,106,137,167,163,164,165,165,166,165,165,166,165,165,163,163,162,161,160,159,157,113,122,126,134,141,146,158,201,101,122,176,168,171,172,172,172,172,171,170,170,173,171,167,168,166,166,166,163,118,125,130,138,147,149,163,210,100,120,182,173,176,178,180,177,176,178,181,180,164,170,177,173,172,172,171,168,123,129,134,143,151,154,164,206,108,119,187,178,181,178,177,185,199,138,137,208,161,111,170,181,178,178,177,173,126,131,138,147,154,160,169,213,123,111,190,182,193,199,136,168,211,148,100,169,176,118,119,189,183,183,181,179,129,135,143,152,160,164,174,216,146,117,183,186,221,232,202,188,163,157,169,194,135,89,90,171,191,186,185,184,131,137,146,156,164,168,174,217,175,149,173,208,220,221,225,177,161,165,175,176,141,90,50,145,201,188,189,188,135,141,150,160,168,174,175,211,183,173,198,213,185,160,232,182,154,167,145,130,156,115,52,157,203,192,192,191,139,144,153,163,170,178,178,207,205,181,201,209,190,128,170,205,120,93,86,141,176,132,80,180,204,198,196,193,142,147,157,168,174,182,181,207,226,158,189,181,171,151,136,196,129,58,43,185,198,156,89,140,213,199,200,197,145,150,159,170,177,184,185,206,235,154,137,176,132,135,131,171,156,108,49,158,224,178,110,82,202,206,202,201,147,152,164,173,179,186,189,203,232,190,110,136,137,120,141,166,173,111,156,218,206,179,123,64,166,217,205,205,147,154,167,175,183,189,193,203,240,213,143,104,156,126,168,211,175,154,219,224,182,141,115,73,168,221,208,207,149,158,169,177,185,190,197,202,240,223,172,116,124,137,176,223,209,232,230,197,169,126,94,83,202,216,210,213,154,159,172,181,186,192,199,204,240,233,197,147,115,139,165,226,227,236,224,189,149,116,71,121,237,227,223,202,153,160,173,181,188,194,200,205,237,239,210,168,136,143,156,215,233,230,207,172,135,105,64,182,202,147,106,61,154,160,173,183,190,196,202,203,231,238,220,180,163,151,151,193,230,225,194,155,122,94,67,88,50,30,33,39,155,162,174,185,191,198,204,205,223,232,226,194,179,171,139,175,208,217,185,141,115,86,51,22,30,33,28,42,156,164,177,186,193,199,205,209,213,229,228,206,186,182,135,168,186,206,172,131,103,79,38,22,24,39,21,27,156,164,178,187,193,199,205,211,208,220,225,209,192,176,135,138,178,177,158,116,94,60,36,23,8,32,35,19,154,163,177,186,192,197,204,210,211,206,223,211,194,168,138,115,161,159,139,108,87,30,17,40,11,14,36,28,155,166,178,186,193,198,203,209,215,204,230,224,197,169,139,113,135,152,124,100,71,6,0,31,31,6,22,33,157,167,179,187,193,199,205,210,215,207,226,220,188,161,141,115,122,133,116,87,54,19,0,11,36,21,8,29,156,167,180,188,195,200,205,210,216,198,230,198,166,167,150,122,113,120,118,73,31,37,0,0,26,35,12,15,153,163,172,181,189,196,203,210,207,161,243,200,179,187,161,124,107,113,113,57,8,38,7,0,14,34,24,14
18,155,156,157,158,158,160,161,160,160,161,161,161,160,160,160,159,158,158,159,158,157,155,156,155,154,154,152,151,156,158,159,159,159,160,162,162,162,162,162,162,162,160,161,161,159,160,160,159,159,157,157,156,156,155,153,153,156,160,161,161,161,161,163,164,163,164,163,163,162,162,162,162,162,161,159,162,161,158,157,157,156,156,155,154,158,160,162,163,162,163,164,164,164,165,166,164,164,164,164,163,163,160,165,148,151,161,160,159,158,157,156,156,160,162,163,163,164,164,165,167,166,167,167,166,166,167,166,164,163,166,189,119,115,169,160,160,159,158,157,157,162,163,164,164,165,166,167,168,167,168,168,167,165,164,165,169,157,171,196,125,80,167,162,162,160,161,159,159,163,164,165,166,167,169,169,169,168,169,168,171,177,142,115,140,123,138,197,156,77,119,174,160,162,163,161,160,164,166,167,168,169,169,170,171,171,171,170,170,180,170,129,101,108,148,197,163,104,69,147,169,161,163,162,161,165,167,167,169,169,171,173,173,172,171,176,149,108,138,155,114,83,111,169,167,126,105,80,150,169,164,164,162,166,168,169,169,171,173,173,172,176,189,178,152,118,76,142,126,85,65,91,144,139,115,78,93,177,163,165,163,167,169,170,171,173,173,174,171,198,196,194,157,131,84,95,119,76,54,54,139,157,118,89,86,175,164,166,165,167,170,172,173,173,175,171,187,187,177,195,159,135,93,63,82,70,51,49,150,164,136,88,89,176,166,167,166,168,171,173,174,176,175,178,209,189,161,172,152,131,89,59,69,60,52,47,126,162,146,90,81,176,168,169,167,170,173,174,175,175,176,196,187,162,163,165,114,95,75,64,93,47,45,57,135,162,147,94,80,177,168,169,169,171,174,175,177,173,186,209,184,147,131,141,86,81,64,87,88,72,116,119,132,153,131,88,77,178,170,170,170,173,174,175,177,175,187,212,193,173,124,102,118,84,28,94,132,159,160,155,117,117,115,91,68,169,173,171,170,174,176,177,179,175,198,210,199,175,135,106,114,67,48,173,185,175,152,138,123,90,107,95,64,165,177,172,173,174,176,178,179,179,205,208,191,151,132,120,106,76,152,197,181,171,148,119,123,93,91,81,73,177,174,174,173,176,177,178,178,184,207,207,182,152,144,112,83,135,191,185,176,159,141,122,113,99,84,59,122,184,174,174,173,175,177,179,179,188,208,205,178,152,151,111,119,170,194,179,167,157,142,116,107,94,72,65,173,177,176,175,174,176,177,179,180,190,206,199,180,164,162,111,149,164,184,173,158,152,133,105,98,87,54,108,186,175,176,175,175,176,179,181,179,190,202,196,182,174,146,117,124,162,163,163,151,141,119,100,88,74,55,164,182,177,177,175,175,177,180,181,179,190,203,195,190,172,132,102,122,148,153,149,145,129,110,91,81,49,111,189,177,179,178,177,177,178,180,181,181,193,192,188,184,149,108,101,133,140,150,143,132,118,95,78,57,69,179,180,180,181,179,178,178,177,177,181,181,197,190,185,172,149,130,128,133,143,146,138,119,105,87,66,52,160,186,179,182,181,180,178,178,183,188,182,183,205,200,199,185,174,157,139,120,139,143,126,103,91,76,45,136,191,180,182,182,181,180,179,178,155,140,177,195,206,198,197,185,165,147,135,113,130,134,111,94,83,52,122,192,182,183,182,182,181,180,180,179,97,64,74,161,200,196,193,179,158,133,128,113,126,120,100,89,58,102,195,184,185,184,184,183,182,182,181,180
0,190,192,193,192,193,194,195,194,195,194,194,193,193,194,194,195,195,193,194,194,194,194,195,194,193,194,194,193,192,194,194,193,194,195,196,195,196,194,194,195,195,195,194,194,195,198,195,196,196,196,195,195,195,196,195,195,194,194,195,195,195,195,196,196,195,196,195,195,196,195,204,193,163,172,201,191,193,200,199,198,196,194,196,196,195,195,195,197,198,197,195,197,197,196,199,199,174,166,207,189,162,141,142,158,149,180,195,160,186,199,195,196,195,195,196,197,198,197,197,198,198,199,218,207,175,147,178,195,172,161,105,143,150,133,174,138,168,205,196,197,195,196,197,197,197,198,197,203,187,175,219,205,183,159,172,211,175,167,118,160,161,135,151,144,162,207,198,199,195,197,197,198,198,198,200,223,187,149,183,218,188,165,161,221,187,171,122,172,164,129,128,146,142,210,197,199,197,198,198,198,200,196,212,219,193,171,164,222,196,165,151,220,191,169,118,174,162,119,117,156,111,194,202,199,198,199,199,199,197,210,208,207,203,182,148,206,202,161,136,214,193,158,106,147,151,113,108,162,105,148,210,199,198,199,199,199,200,213,184,200,211,186,141,184,207,160,120,187,184,146,100,124,139,106,110,165,114,128,209,201,199,199,201,198,208,208,174,183,207,185,141,158,199,155,112,157,172,139,106,113,130,96,122,173,125,131,210,202,199,200,201,199,208,204,180,172,191,170,133,135,182,148,108,128,167,136,103,113,132,103,160,184,134,133,211,203,197,199,198,202,210,194,171,148,176,166,130,118,173,147,101,109,165,135,96,128,139,119,186,181,135,140,211,202,197,198,199,198,219,208,179,140,151,168,122,110,168,150,100,104,170,134,141,186,163,133,178,185,136,147,211,202,198,200,199,200,218,209,183,152,120,149,142,107,169,165,109,111,168,170,185,184,170,146,142,175,129,151,212,202,200,201,200,202,221,212,192,168,137,127,148,123,164,173,153,181,192,190,182,173,157,145,130,132,115,146,213,202,200,201,201,202,221,217,198,176,164,155,149,164,178,187,200,202,200,193,180,168,149,135,129,115,103,142,214,202,199,200,200,203,218,217,204,188,178,170,161,162,180,192,200,199,200,194,177,164,149,130,120,116,98,160,213,203,199,199,200,202,214,214,209,199,191,176,168,164,173,189,198,199,195,190,173,159,145,128,118,105,130,203,208,206,203,204,205,199,210,214,215,208,195,179,168,167,175,193,200,200,190,184,170,157,141,125,107,119,197,206,205,206,172,175,180,174,198,215,218,211,195,182,170,166,174,196,201,195,186,179,167,150,133,118,106,186,214,208,211,211,117,118,123,111,155,218,211,206,196,185,175,165,173,193,193,183,173,167,156,141,126,112,124,173,173,176,173,173,123,123,124,115,130,214,202,196,196,189,180,164,170,190,187,174,159,148,139,131,117,116,120,117,114,112,129,159,121,123,124,120,125,208,194,191,198,191,178,164,166,189,184,167,142,127,123,116,116,123,119,119,141,179,211,211,121,122,121,122,123,203,193,192,198,187,177,169,164,183,179,157,126,115,111,116,122,126,149,185,215,216,206,193,121,121,121,123,119,203,204,194,196,183,173,171,161,169,170,144,115,111,111,116,134,193,223,230,219,213,208,191,122,121,121,122,116,201,210,201,195,182,174,176,158,161,164,137,111,107,110,155,214,229,226,222,213,218,222,210,123,122,122,123,118,193,209,206,195,182,174,176,156,154,161,134,109,96,157,221,220,221,224,213,208,215,224,225
14,127,127,127,127,127,127,128,128,128,128,128,128,128,127,128,128,128,129,127,128,128,127,127,127,126,126,128,100,129,129,129,129,129,129,130,131,131,131,131,131,129,130,130,130,131,131,130,130,130,129,128,129,128,126,130,86,131,131,131,130,131,132,132,132,131,132,130,131,132,132,131,134,134,132,132,132,132,131,130,130,129,130,131,110,133,132,132,133,134,133,133,133,135,139,131,123,134,133,123,120,130,135,135,134,134,133,133,133,131,131,131,124,135,136,135,137,136,135,134,142,153,128,123,122,124,115,92,104,118,122,126,138,135,137,137,136,134,133,134,130,138,138,137,139,137,142,152,149,135,82,64,83,92,90,60,56,104,91,74,140,138,138,138,137,135,136,135,134,139,139,139,141,135,154,161,102,75,57,28,39,54,59,44,39,65,67,43,123,147,140,135,139,137,137,137,137,141,140,140,143,136,161,155,93,41,34,29,25,30,36,39,33,42,49,60,71,123,121,98,109,141,137,138,138,143,142,143,144,137,166,152,106,57,37,35,31,30,29,36,34,35,62,98,71,54,116,95,97,146,139,141,139,145,144,145,144,138,167,141,87,41,29,33,41,39,29,37,40,36,47,62,41,94,133,73,116,149,141,143,142,145,144,146,144,147,167,138,103,68,39,29,38,32,42,35,54,95,123,105,81,133,122,65,125,150,143,143,143,146,147,148,145,154,170,143,115,87,59,47,32,34,60,42,93,161,149,156,138,136,121,63,120,151,144,145,145,149,149,150,145,159,175,150,118,77,57,50,46,45,49,44,125,154,147,149,126,133,114,64,111,154,145,146,145,149,150,151,146,162,179,156,119,72,51,46,44,57,46,62,155,149,151,142,131,134,110,63,93,158,147,146,147,150,150,151,148,163,179,157,130,90,56,40,41,55,44,88,163,148,152,135,144,138,104,54,115,157,148,149,148,150,151,153,148,161,181,159,132,100,65,41,39,50,35,103,154,154,145,126,146,139,85,73,156,151,151,151,149,152,153,156,146,156,180,161,138,108,69,47,43,40,38,72,89,122,120,127,138,123,67,122,160,150,153,151,150,154,154,155,147,156,180,162,139,115,82,54,30,42,52,65,88,102,109,123,126,96,75,154,154,154,155,154,152,154,154,156,149,157,179,166,142,118,91,65,32,46,57,81,103,112,109,105,105,69,111,162,155,156,156,155,153,155,155,157,147,155,178,167,146,122,96,72,42,45,68,96,113,116,100,89,76,60,148,159,157,156,156,156,155,157,155,158,147,150,177,165,149,125,100,74,54,44,67,98,114,114,97,75,59,82,165,155,156,156,157,157,157,157,155,158,150,148,174,165,151,128,105,77,63,47,60,96,113,109,86,67,61,139,162,157,158,157,157,157,157,159,158,158,149,151,171,165,152,131,110,83,70,56,57,101,111,101,79,53,100,170,157,159,159,158,158,157,157,160,159,161,147,155,175,164,151,136,116,84,73,68,53,99,98,88,72,49,138,167,160,160,160,159,159,159,159,160,160,164,149,159,178,162,151,141,119,87,75,71,55,82,88,82,61,68,165,163,161,161,160,160,159,160,159,161,160,163,149,170,175,165,160,142,120,87,74,68,58,71,77,75,49,118,172,162,163,162,161,161,160,160,159,161,161,158,148,176,176,166,156,135,108,82,70,64,60,66,67,59,79,165,165,163,163,163,161,161,161,160,160,162,163,152,149,173,173,164,144,119,94,75,65,60,63,65,65,60,144,170,163,164,164,164,162,162,162,161,161
18,168,169,169,171,173,172,171,173,172,171,169,168,168,167,166,166,166,165,164,163,162,161,159,158,157,156,154,152,169,170,172,173,173,174,173,173,174,173,171,171,169,169,169,171,170,166,167,166,163,161,160,159,157,156,154,153,172,172,172,173,173,174,176,176,174,173,175,175,177,175,174,168,162,172,168,170,171,168,160,160,160,158,157,155,173,173,174,175,174,176,176,177,175,174,175,141,115,160,169,126,94,116,176,154,130,141,167,161,160,160,159,158,173,175,175,175,177,177,178,179,178,184,175,127,91,81,138,131,92,60,112,123,94,70,124,172,161,160,159,158,175,175,176,176,178,179,181,157,126,146,173,136,115,79,113,162,98,84,55,110,103,68,56,162,165,162,160,159,176,177,179,180,179,179,188,156,125,101,130,162,115,92,88,161,102,93,89,85,97,84,44,136,171,162,162,160,177,179,179,181,182,181,186,170,148,130,92,143,135,96,69,117,122,108,104,93,113,99,47,136,172,164,162,161,177,179,180,182,181,188,171,169,160,134,108,91,134,102,75,87,132,119,107,105,110,94,46,141,174,164,165,163,178,180,182,183,181,191,174,130,146,132,98,54,119,111,75,67,121,110,106,102,98,91,43,125,178,166,164,163,180,181,182,184,181,189,161,85,115,130,67,43,94,89,55,53,98,67,90,123,119,96,51,106,181,166,165,164,180,182,183,184,182,191,161,120,112,122,62,46,74,66,46,42,72,46,71,161,134,104,61,86,183,168,168,166,181,183,183,184,184,192,173,151,107,115,84,53,70,76,48,40,68,46,42,137,139,111,74,63,175,171,169,167,183,184,184,184,186,192,176,142,110,90,75,44,74,86,45,38,56,94,132,139,160,127,87,47,155,176,170,169,183,184,184,185,187,191,154,119,98,77,57,44,55,53,43,53,91,154,162,145,148,132,90,42,138,182,170,170,183,184,187,188,188,190,169,142,119,96,74,71,63,66,90,120,155,167,160,155,125,114,79,39,144,181,170,170,185,187,189,189,188,192,180,152,125,94,72,71,82,101,126,151,173,171,152,140,117,87,64,50,169,176,173,173,186,188,189,190,189,190,182,159,131,101,83,81,86,102,148,170,181,169,143,126,106,80,41,85,186,173,174,173,186,187,188,189,190,188,183,167,140,116,96,93,83,118,167,178,176,159,136,117,100,71,31,138,185,173,174,172,187,189,189,191,190,186,179,165,141,121,103,100,90,129,176,170,164,150,130,108,93,59,49,176,178,175,174,174,188,190,192,193,192,186,169,155,140,124,111,109,96,133,172,162,154,140,123,100,84,41,90,190,175,177,175,174,188,191,192,191,193,189,167,158,147,128,117,121,101,136,161,158,145,123,110,92,72,32,142,188,176,177,176,173,190,191,191,192,194,194,174,156,147,135,126,124,103,137,155,151,140,116,97,80,51,55,184,179,179,177,177,175,190,193,193,192,193,197,184,156,151,144,130,118,101,123,150,140,127,106,83,70,28,118,194,179,180,179,177,175,190,192,193,193,192,195,192,172,157,144,132,121,105,109,135,130,113,92,74,47,48,183,183,182,181,180,178,176,190,191,191,194,195,197,195,181,164,150,136,126,113,107,124,121,102,83,68,24,121,196,181,182,182,180,179,176,191,192,192,192,195,196,195,190,173,148,131,122,117,114,117,115,97,80,48,54,187,185,185,183,182,181,179,176,192,192,194,193,195,197,194,189,173,150,142,141,135,127,112,109,91,72,32,119,198,183,184,183,183,181,179,177
0,213,214,216,215,216,218,218,218,218,218,217,216,216,217,217,218,218,216,218,218,217,218,219,218,216,217,217,216,215,217,218,216,217,219,220,219,220,218,218,219,219,219,217,217,219,223,219,220,220,219,219,219,218,219,219,219,217,218,219,219,219,219,220,220,219,220,219,218,220,219,230,216,177,188,226,213,215,225,224,222,220,218,220,220,218,218,219,221,223,221,219,221,221,220,223,223,191,181,234,211,175,147,150,170,158,198,218,173,207,224,219,220,219,219,220,221,222,221,221,222,223,224,249,234,193,155,196,218,188,174,101,151,159,137,192,145,184,232,220,222,218,220,221,221,221,223,221,229,208,193,250,232,203,171,189,240,193,182,117,173,174,140,161,152,175,234,222,224,219,221,222,223,223,223,226,255,208,158,202,249,210,180,175,253,209,187,123,189,178,133,131,154,149,238,221,224,221,222,222,223,225,220,241,250,216,187,178,254,219,180,161,252,214,184,118,191,175,120,116,168,108,218,228,224,222,223,223,224,222,239,235,234,229,201,157,233,228,175,142,244,215,170,102,155,161,111,105,176,100,158,238,224,223,224,224,224,225,242,205,225,240,207,149,204,234,173,121,208,205,154,94,126,145,102,108,179,112,132,237,226,224,225,227,222,236,236,192,203,235,205,148,171,224,166,110,168,189,146,102,111,134,90,123,190,127,135,238,228,224,226,226,224,236,230,199,188,213,186,138,140,202,157,105,130,181,142,99,111,136,99,172,205,139,138,240,229,222,223,222,228,238,217,187,157,194,180,133,118,190,156,96,106,180,140,89,131,145,119,207,200,141,146,240,228,221,223,223,223,250,235,198,147,161,183,123,107,183,160,95,100,186,139,148,207,177,137,196,206,141,155,239,227,223,225,224,225,248,237,203,162,121,158,149,103,184,179,105,108,183,186,206,204,186,154,149,192,132,161,241,228,225,226,225,228,252,241,215,183,142,129,157,124,178,190,164,200,215,213,202,189,169,154,134,136,114,155,243,228,225,226,226,228,252,248,222,194,178,166,158,178,196,208,226,228,226,216,200,183,159,140,133,115,98,149,244,228,225,226,225,229,249,248,230,210,197,186,174,175,198,214,225,224,226,218,195,178,158,134,121,116,91,173,243,229,224,224,225,228,243,244,237,223,214,194,183,179,190,211,223,224,219,212,190,172,153,131,118,101,133,229,236,234,229,230,231,224,239,244,245,236,219,198,184,182,192,216,225,225,213,204,186,169,147,127,104,119,222,234,232,233,188,192,199,191,222,245,249,239,219,202,187,181,191,220,227,219,206,197,182,160,137,118,102,206,244,236,240,239,116,118,124,108,167,249,239,233,220,205,193,179,190,216,216,203,190,181,168,147,128,110,125,189,190,194,190,189,124,124,125,114,134,244,227,220,220,211,199,178,186,213,208,191,171,157,146,135,117,115,120,117,113,110,133,171,122,124,126,121,126,236,217,214,222,213,196,178,181,210,205,181,149,130,124,115,116,125,120,119,148,198,240,239,121,123,122,124,125,229,215,214,223,209,195,185,178,203,198,169,128,114,109,116,124,128,158,205,245,247,233,216,122,122,121,125,120,229,231,218,220,204,190,187,174,184,185,152,114,108,108,115,139,216,255,255,250,243,235,214,123,122,122,124,116,227,239,227,219,202,191,194,170,174,178,142,109,104,107,166,243,255,255,254,243,249,254,238,124,122,123,124,117,217,237,233,218,201,192,194,168,166,174,139,106,89,169,252,251,252,255,242,236,245,255,255
18,130,133,137,139,143,145,147,149,152,154,157,156,156,156,158,159,161,161,162,161,161,162,162,162,162,161,161,160,132,135,138,141,144,148,150,152,154,155,159,158,159,160,160,162,163,163,165,164,162,163,164,164,164,164,163,162,135,137,141,144,146,149,153,156,158,159,161,161,162,162,163,164,165,164,164,165,164,166,166,166,167,168,167,166,138,140,144,145,149,152,156,159,160,161,162,163,165,166,166,167,167,168,170,168,168,169,169,169,170,170,169,168,139,142,145,148,152,155,158,160,162,163,166,166,167,170,170,170,167,167,153,167,173,175,174,170,171,171,171,170,140,144,147,152,153,156,160,162,164,166,168,168,169,172,170,167,189,158,109,102,171,156,154,178,175,173,172,173,142,145,150,153,154,158,162,162,167,170,169,172,174,171,142,111,163,132,74,69,75,123,98,123,185,174,176,176,144,148,152,154,157,160,163,166,168,170,172,165,166,202,135,97,133,125,77,71,48,117,123,62,151,185,177,177,146,151,154,157,161,163,166,169,170,170,182,149,100,149,164,127,140,149,128,125,105,91,105,63,110,194,177,179,146,152,157,161,162,164,168,170,171,174,197,168,129,86,150,147,106,153,164,162,158,117,62,44,108,195,181,183,150,152,157,162,163,166,169,173,173,181,178,189,163,104,90,146,89,106,162,159,162,123,66,28,122,196,183,186,151,154,159,161,164,168,170,174,173,185,140,158,155,125,61,98,107,80,125,121,151,130,79,29,132,196,184,186,152,157,161,165,167,169,172,174,175,188,122,100,138,94,43,62,94,57,66,109,162,149,96,34,152,192,184,186,154,157,161,165,169,170,174,177,178,192,163,123,120,67,32,53,73,41,42,61,176,162,112,45,159,196,185,186,156,160,162,166,169,172,175,178,182,191,157,110,103,68,30,43,73,25,25,98,181,179,131,59,88,200,186,188,157,161,163,166,169,173,176,178,182,189,171,130,96,69,29,46,74,25,109,189,182,172,127,80,47,179,196,191,158,162,165,168,170,174,178,180,180,195,185,148,106,73,57,45,46,112,202,197,190,156,109,78,59,182,196,192,161,163,166,169,172,176,179,181,181,196,187,151,115,92,81,73,104,187,203,191,172,144,89,60,74,199,192,193,163,164,166,171,174,177,181,184,183,193,189,163,135,119,100,87,137,196,204,182,142,117,82,45,102,205,192,194,161,165,168,170,174,178,181,185,182,191,189,168,142,118,105,91,137,195,202,170,134,102,73,44,132,207,193,195,162,166,169,172,175,179,181,186,185,185,185,170,142,120,129,99,122,193,196,155,118,88,66,46,163,204,195,197,163,166,169,175,177,179,184,184,187,183,181,176,153,138,142,106,102,192,177,138,99,75,58,60,189,201,198,199,163,167,171,174,177,182,183,183,186,184,177,172,159,138,142,116,94,181,159,119,87,66,50,85,207,198,200,200,164,167,169,173,176,178,181,182,186,188,181,174,163,140,134,115,88,165,144,98,78,66,42,119,213,197,200,200,162,165,168,172,177,177,180,183,186,187,185,184,162,135,120,94,74,143,117,77,70,64,49,164,205,199,200,200,162,165,170,172,177,179,181,184,187,177,189,183,147,122,94,70,83,125,95,80,74,54,97,202,196,199,200,200,163,166,170,174,178,180,183,186,185,178,201,178,149,130,100,95,93,122,85,85,69,55,168,203,198,200,200,200,163,167,171,175,179,180,183,186,183,183,201,186,163,145,109,96,109,107,86,82,46,114,205,197,200,199,201,202
17,162,165,166,169,171,172,172,174,176,178,177,179,180,181,181,184,184,183,186,185,185,187,186,186,187,187,187,186,162,165,167,170,172,173,174,176,177,179,178,180,181,183,185,185,185,190,189,190,187,188,186,187,188,187,187,185,162,164,168,172,172,173,175,177,176,180,180,181,182,183,185,187,174,157,167,148,188,189,189,189,189,189,188,187,163,166,168,172,174,175,176,177,179,180,180,181,182,186,185,191,191,131,108,104,180,192,190,190,190,190,189,188,164,167,170,172,174,176,177,180,182,183,182,183,185,187,186,190,207,154,95,97,189,191,191,191,190,190,190,188,165,168,171,172,174,176,179,181,181,183,184,186,190,187,189,189,208,173,107,107,200,191,192,192,191,192,192,189,166,169,172,173,176,179,179,180,181,183,187,178,169,197,191,187,211,181,118,138,203,191,193,193,191,192,193,191,168,170,172,174,177,179,180,183,185,184,189,184,136,153,197,196,211,175,123,158,201,194,195,194,194,193,192,192,169,171,173,174,177,179,181,181,182,177,193,191,163,137,159,191,208,173,120,156,203,193,195,195,194,193,193,191,169,172,173,176,179,179,178,196,186,135,152,199,201,195,146,109,170,171,124,156,204,195,197,195,194,195,194,193,171,173,174,177,181,180,184,198,191,141,159,173,192,206,182,112,115,148,116,154,205,195,196,195,196,197,195,195,172,174,176,178,182,180,193,186,169,168,132,120,112,215,205,145,96,120,105,150,207,197,197,196,197,196,196,196,171,173,176,178,181,179,197,184,125,131,121,90,83,200,221,168,103,101,93,146,208,197,199,198,197,197,197,196,171,174,177,179,182,181,201,182,151,150,131,124,124,180,232,180,120,96,96,137,207,197,199,199,198,197,198,198,172,176,178,180,182,185,209,182,161,152,134,150,157,187,222,184,137,96,92,135,208,197,200,200,199,199,198,198,172,175,178,183,180,194,202,159,147,144,148,156,198,228,191,179,143,95,83,134,209,198,200,200,200,200,198,195,172,175,179,184,178,202,202,165,151,144,153,174,232,222,185,162,135,92,76,136,209,199,201,200,200,200,199,197,172,176,178,182,179,211,205,173,155,144,155,208,228,208,182,155,126,93,76,159,211,199,201,200,200,200,201,199,173,177,179,182,180,215,204,180,167,146,175,228,218,205,173,142,121,90,89,191,205,200,201,202,200,199,200,199,173,177,181,184,181,223,204,187,183,156,185,226,207,200,177,133,114,80,125,211,198,202,203,203,201,201,199,199,174,178,181,185,182,226,211,193,193,171,183,219,201,192,170,129,105,83,175,209,200,202,203,204,201,200,201,201,175,179,182,184,179,219,220,199,190,181,177,206,196,193,165,124,94,102,205,202,201,201,202,202,201,201,201,201,175,179,182,186,182,209,222,196,183,178,182,193,185,198,173,121,90,120,212,201,203,203,204,203,203,203,202,201,177,180,182,185,182,207,214,193,182,172,180,190,182,198,165,122,90,152,214,201,204,204,204,205,204,203,203,201,175,178,182,186,183,212,218,202,184,180,184,192,179,192,149,114,98,192,207,204,204,204,204,204,204,204,202,201,173,178,182,186,185,219,227,200,182,189,193,184,167,179,136,95,135,212,202,204,204,204,204,204,204,204,203,202,176,179,183,185,185,227,219,185,184,192,194,171,155,162,119,92,186,208,203,205,205,205,205,204,205,205,204,203,176,179,183,184,188,229,213,180,185,193,189,163,152,145,103,115,209,202,205,205,206,205,205,205,206,205,203,203
12,167,167,169,172,173,173,175,177,178,178,178,178,177,177,176,175,175,175,174,173,173,172,172,171,170,168,168,169,168,169,171,173,174,175,177,178,180,179,179,179,179,179,179,178,177,176,176,175,175,174,173,172,171,170,170,169,170,171,173,174,176,177,179,180,180,180,181,181,180,180,180,179,180,179,178,177,176,176,175,174,173,173,172,171,171,172,174,176,178,179,180,181,182,182,182,182,183,183,182,181,181,181,180,179,178,178,177,176,175,174,174,173,172,174,175,177,179,180,181,183,185,184,184,183,179,180,184,181,166,156,173,182,180,180,179,179,176,175,175,174,173,175,178,179,181,182,183,185,185,186,187,184,157,136,169,183,147,101,117,170,159,167,180,179,179,178,177,176,175,178,179,181,183,186,187,187,187,187,195,195,154,110,113,174,136,105,79,130,121,96,142,180,180,179,178,178,178,179,181,184,185,187,188,188,187,184,193,187,141,102,88,175,147,116,80,115,118,80,82,165,181,180,179,179,179,180,183,186,186,187,188,192,194,162,162,182,137,93,83,188,186,134,98,116,112,83,70,155,184,181,181,181,181,182,184,186,187,189,191,212,200,164,131,175,170,98,77,201,200,127,108,151,126,88,69,160,186,183,183,182,182,184,186,188,189,190,202,227,204,170,115,168,195,109,82,151,151,96,132,174,125,78,72,170,187,186,184,183,183,186,187,188,191,191,209,219,201,163,110,122,156,105,88,106,139,128,147,144,90,56,93,184,188,188,186,185,185,187,188,190,191,197,223,208,172,132,98,66,76,80,103,122,164,186,158,122,90,61,144,191,189,189,188,187,186,188,191,193,192,216,223,198,146,108,87,55,46,117,184,186,180,168,142,126,116,76,160,192,190,190,188,188,187,188,192,194,193,222,226,185,140,131,95,53,105,197,210,198,176,159,131,119,107,78,165,195,192,191,189,189,188,189,193,195,196,227,227,180,141,151,115,112,187,220,213,197,173,151,132,110,91,74,175,195,194,193,191,191,189,190,193,195,200,233,227,195,177,153,156,179,215,219,208,191,168,143,127,101,78,66,172,197,195,194,193,192,190,192,194,196,203,233,228,209,197,165,160,192,218,212,197,184,158,132,116,94,70,60,166,199,197,196,194,194,192,193,195,198,203,230,229,215,202,172,169,196,207,199,184,171,145,122,105,83,63,63,177,200,198,198,195,195,193,194,196,199,202,225,227,219,202,174,162,189,193,185,176,160,132,109,91,73,55,114,196,199,199,198,196,196,193,194,197,199,200,221,224,217,197,165,156,173,178,176,165,146,117,97,82,65,100,188,201,199,200,199,198,197,194,195,197,200,202,215,220,213,180,149,156,169,175,177,160,135,115,94,73,101,186,203,201,200,200,199,199,198,193,195,199,177,163,208,207,192,172,164,169,170,182,178,153,122,110,85,76,173,206,204,202,201,201,200,200,199,194,197,198,122,67,173,211,199,190,178,163,157,177,165,131,108,96,71,139,205,206,204,204,203,202,201,200,199,195,199,171,97,74,97,173,191,181,165,146,137,155,136,109,93,73,111,201,208,207,205,205,204,204,202,201,201,196,199,132,84,89,57,76,104,101,95,90,93,110,100,86,70,72,182,210,207,206,206,206,206,205,203,202,202,196,182,102,83,88,63,27,53,53,48,39,36,38,42,46,34,63,181,210,208,207,207,206,206,204,203,203,203,196,146,88,83,86,72,15,35,48,45,35,32,29,26,22,15,19,141,211,207,208,206,206,205,204,203,203,202
18,214,215,215,217,219,218,217,219,218,216,215,214,214,212,212,211,211,211,209,208,207,206,204,202,202,200,198,196,215,216,217,219,219,220,219,219,220,219,217,216,215,215,215,216,216,212,212,211,208,206,205,204,202,200,198,197,218,218,218,220,219,220,222,222,221,219,221,221,224,222,220,214,207,218,214,215,216,214,205,205,204,203,202,199,219,219,220,221,220,222,223,224,222,221,221,184,155,205,215,168,133,157,222,199,171,184,212,206,204,205,203,202,219,221,221,222,223,224,224,225,225,231,221,169,129,118,180,172,130,94,152,164,132,106,165,218,206,205,203,203,221,222,223,222,224,226,228,202,168,190,220,178,155,116,153,207,137,122,89,150,142,104,91,207,210,207,204,204,222,224,226,226,226,226,235,201,166,140,172,207,156,130,126,205,141,131,126,122,135,121,77,178,217,207,207,205,223,226,226,228,228,228,233,216,191,172,130,186,177,135,105,158,163,147,143,132,153,137,80,178,218,209,207,206,223,226,227,229,228,235,216,215,204,176,147,129,176,141,111,124,174,159,146,145,150,132,79,184,221,209,210,208,225,227,229,230,227,238,220,172,189,174,137,89,160,151,111,103,161,150,146,141,137,129,76,166,224,211,209,208,227,228,229,232,228,236,206,123,156,172,102,76,132,127,90,87,137,102,128,164,160,134,85,146,227,212,211,210,227,228,230,232,229,239,206,161,152,163,97,80,111,101,80,75,108,80,107,206,176,143,96,124,230,213,213,212,228,230,230,231,231,240,219,195,146,155,121,87,106,113,82,73,103,79,75,179,182,151,111,98,221,217,215,212,231,231,231,231,233,240,223,185,149,127,111,77,111,124,79,70,90,132,175,182,205,169,125,80,199,223,215,214,231,231,231,233,234,239,198,160,137,113,92,77,89,87,76,87,129,198,207,188,191,174,127,75,181,229,215,215,230,232,234,235,236,237,215,185,159,134,110,107,98,102,128,160,199,212,205,200,167,154,116,72,187,228,216,216,232,234,236,236,235,240,227,196,167,132,108,107,119,140,168,195,220,216,196,183,158,124,99,83,215,222,219,219,234,235,236,237,236,238,229,204,173,140,121,118,123,141,192,216,228,214,186,167,146,116,74,122,233,219,221,219,234,235,236,237,238,236,230,213,183,157,134,131,120,158,212,225,222,203,178,158,139,107,63,181,232,220,220,218,235,236,237,239,238,234,226,211,184,162,142,139,128,171,222,216,209,194,171,148,131,94,83,223,225,221,220,220,236,238,240,241,240,233,215,200,182,165,151,149,135,175,218,207,198,183,164,139,121,74,128,238,221,224,222,220,236,238,240,239,241,237,213,202,190,170,157,162,140,179,206,203,188,164,150,130,108,64,185,236,223,224,223,220,238,239,239,240,242,242,220,201,191,177,168,165,142,180,200,195,183,156,135,117,85,89,231,226,226,223,223,221,238,241,241,240,241,246,232,200,195,187,172,159,140,164,194,183,169,146,121,106,59,159,242,226,227,226,224,222,238,240,241,241,240,244,240,218,202,188,174,162,145,149,177,172,153,130,111,81,82,230,230,229,228,227,225,222,238,238,239,242,243,245,243,228,209,194,179,168,154,147,165,162,140,120,104,55,162,244,227,229,229,227,226,222,239,240,240,240,243,244,244,237,219,192,173,162,158,154,157,155,136,117,82,89,234,232,232,230,229,228,226,222,240,240,242,241,243,245,242,237,219,194,186,183,177,169,151,149,129,108,64,160,247,230,231,230,230,228,226,223
3,168,170,170,170,171,171,172,172,172,171,172,172,171,170,168,167,163,153,159,162,161,160,159,157,155,153,151,150,171,173,173,173,173,174,174,174,174,174,175,175,173,172,171,170,163,131,143,164,165,163,162,160,158,156,154,152,175,176,177,177,177,178,178,178,178,178,179,179,178,176,175,173,158,113,123,165,168,166,165,164,162,160,157,155,179,180,180,181,181,182,182,183,183,182,182,181,181,180,179,176,156,106,111,165,172,170,169,167,165,163,161,159,183,183,184,185,186,186,186,187,186,186,185,185,184,184,182,179,156,103,105,165,175,173,172,171,169,166,164,162,186,187,187,188,188,189,189,189,189,189,189,188,188,187,186,182,158,106,102,165,178,176,175,174,172,170,167,165,189,190,191,191,191,192,192,192,192,192,192,191,191,190,188,185,163,109,100,165,181,179,177,176,175,173,170,168,192,193,194,194,194,195,195,195,195,194,195,195,194,193,191,186,160,105,100,167,183,182,180,178,177,176,173,171,195,195,196,197,197,197,197,197,196,196,197,197,197,196,194,186,158,113,103,162,185,184,183,181,180,178,176,174,196,197,197,199,199,199,199,199,199,199,200,200,199,199,197,189,167,128,102,153,187,187,186,184,183,181,178,175,197,198,199,200,200,201,202,202,202,202,202,202,201,200,199,192,173,130,94,142,188,189,187,186,184,182,180,178,200,200,201,201,201,202,203,203,203,203,203,203,203,201,197,191,175,135,97,132,186,191,189,188,186,184,182,180,202,202,202,203,203,203,204,205,205,204,205,205,204,197,184,168,155,145,123,143,171,189,191,190,188,186,184,181,203,203,203,204,204,205,206,206,207,206,206,201,191,185,174,138,111,132,149,158,132,153,183,191,190,188,186,183,204,204,205,206,207,207,207,207,208,207,200,181,151,150,163,133,97,107,143,144,98,88,136,185,192,190,187,185,206,206,207,208,208,209,209,209,208,201,189,168,133,118,140,144,109,91,118,126,93,68,92,170,193,191,189,187,206,207,207,208,209,210,209,210,206,193,174,152,139,123,120,143,118,81,84,101,99,73,79,159,194,193,191,189,207,207,208,209,210,210,211,210,204,184,155,124,123,120,100,121,119,80,70,89,108,86,76,150,194,194,192,190,207,208,208,209,211,212,212,212,206,185,157,115,94,97,73,92,106,72,70,92,120,106,78,140,194,195,193,191,207,207,208,209,210,212,213,213,209,187,159,129,100,82,68,83,87,67,88,120,135,116,87,145,195,196,194,192,207,208,209,209,210,211,212,213,211,189,167,151,121,91,85,100,103,103,137,148,134,103,104,173,197,196,194,192,208,209,209,210,211,212,213,213,212,193,167,156,133,106,99,118,149,160,166,144,112,88,136,193,197,195,192,188,208,208,209,210,212,213,213,214,214,200,166,153,136,113,103,117,159,167,153,122,89,92,166,198,195,186,166,144,205,206,207,208,210,211,212,213,214,207,172,144,131,115,106,111,144,150,131,98,78,118,174,169,148,121,90,71,165,168,171,174,178,182,185,187,189,189,171,142,130,122,113,104,119,125,105,77,81,117,111,86,68,56,48,46,112,114,115,117,118,121,123,123,124,125,135,148,137,125,109,93,92,90,72,60,69,71,56,45,43,39,37,36,106,106,107,107,107,108,111,111,111,112,133,162,153,130,105,89,84,77,61,56,58,53,47,38,36,33,30,30,107,108,108,108,108,109,113,113,114,117,141,162,158,137,114,99,88,76,58,54,52,47,43,38,31,28,26,28
12,168,173,176,181,183,186,189,191,194,195,196,196,197,198,196,197,196,196,197,196,196,195,195,195,194,193,192,190,170,174,177,181,183,188,191,193,195,196,197,199,198,193,191,198,198,175,175,197,197,195,196,196,196,195,194,193,171,174,178,182,185,189,192,194,195,198,200,199,210,195,165,174,205,189,147,161,178,161,179,198,198,197,196,195,172,176,180,184,187,190,193,195,197,200,201,202,229,225,198,156,157,213,182,126,130,156,130,186,198,199,198,196,174,178,181,185,189,193,195,197,198,200,200,218,213,223,210,160,114,179,182,127,89,139,128,130,199,200,199,198,177,179,183,186,190,194,196,199,201,201,201,225,183,206,207,150,105,165,168,122,87,121,124,94,195,201,200,199,179,181,185,189,192,196,198,202,203,205,202,162,141,197,189,138,93,170,162,112,92,127,115,97,198,201,201,200,180,184,187,191,194,198,201,203,212,228,207,141,106,146,176,153,84,161,191,131,98,150,126,116,203,202,201,201,182,186,189,193,196,199,202,217,229,220,211,155,102,105,179,144,75,158,196,127,102,182,130,150,205,204,203,202,184,187,192,195,200,202,214,227,195,193,214,162,99,65,141,123,56,104,179,120,94,165,127,190,207,206,205,204,186,191,195,198,202,204,227,220,193,168,201,153,100,58,71,75,73,107,119,128,137,140,103,175,208,207,206,206,189,193,196,200,204,210,217,191,162,130,183,150,103,61,68,81,159,199,176,165,145,132,118,127,210,209,207,206,190,195,199,203,206,207,225,199,169,124,157,147,105,66,85,129,187,204,191,167,138,110,120,105,202,210,209,208,192,197,201,204,207,210,227,203,173,136,132,149,128,77,114,176,201,200,191,166,134,108,104,104,206,212,210,209,195,199,203,207,210,220,231,212,185,153,118,144,141,95,176,206,209,202,193,153,128,102,85,144,214,213,211,209,199,203,206,209,212,228,233,218,194,163,136,123,127,152,207,215,215,210,182,137,120,96,88,199,215,214,212,210,201,205,208,211,213,230,231,222,201,172,157,142,138,182,203,211,218,204,163,127,112,84,132,216,213,196,166,134,204,208,210,213,215,226,228,226,207,182,172,157,145,182,191,211,216,189,147,118,104,78,165,153,112,79,64,60,207,211,213,215,218,218,230,227,211,191,183,167,152,189,185,213,206,168,132,108,94,68,69,58,52,49,48,44,210,214,216,219,222,216,228,222,209,196,189,172,157,186,198,195,183,148,118,100,80,50,47,43,45,43,47,40,213,216,219,222,224,219,223,222,210,196,186,174,165,177,194,176,157,131,109,94,58,35,47,45,36,36,48,44,214,217,220,223,225,219,218,225,210,194,182,169,158,163,180,165,141,121,100,82,48,26,38,51,38,30,40,48,215,218,221,223,227,218,221,223,202,187,178,166,152,160,170,155,124,110,91,63,56,27,25,43,48,32,31,44,216,220,223,227,229,220,223,218,188,175,174,161,149,161,158,141,109,96,55,42,54,41,15,30,45,41,27,32,218,222,225,228,229,217,224,224,189,184,183,170,158,163,146,127,101,75,38,28,45,50,18,18,35,45,35,24,220,224,227,230,231,196,220,225,196,201,195,174,157,159,137,120,93,57,43,21,34,49,29,11,24,42,43,27,222,225,228,230,234,147,203,227,214,220,200,169,158,157,131,114,83,48,40,24,21,41,37,10,15,34,44,35,195,200,205,210,213,115,134,218,214,216,188,158,161,155,126,109,71,52,35,29,14,35,40,15,9,27,41,41
15,111,115,118,119,123,124,129,142,152,161,168,172,179,181,184,186,189,192,196,201,202,204,206,208,211,212,212,214,110,114,112,112,117,122,130,142,152,160,168,174,179,181,184,186,191,194,196,201,203,205,208,212,213,212,213,214,114,106,143,179,134,121,126,141,153,163,168,175,181,182,183,186,191,194,197,201,204,205,208,212,213,211,213,215,116,97,184,223,197,172,153,144,151,156,169,179,182,184,183,186,191,195,199,202,206,208,209,210,212,212,216,217,113,106,137,196,185,182,190,179,174,160,158,160,168,173,180,188,195,200,201,203,204,208,209,211,214,214,216,219,111,116,109,135,147,142,164,175,181,186,177,165,164,162,166,167,168,177,187,198,209,207,210,211,215,216,217,219,112,112,116,117,122,125,139,145,144,174,179,176,169,170,180,183,167,148,139,129,191,214,211,215,216,217,218,220,112,114,117,120,121,124,133,140,134,150,160,158,153,149,176,194,195,167,155,121,112,201,216,214,217,218,220,222,112,113,115,119,120,122,135,148,154,160,160,159,152,146,185,188,194,175,175,154,122,129,211,216,217,220,222,224,111,112,114,117,120,122,135,146,153,164,174,177,169,187,205,190,185,197,184,174,157,118,133,217,218,221,223,224,110,111,114,117,120,125,134,144,162,164,169,177,188,217,209,162,184,201,179,197,175,142,102,144,225,217,223,224,110,112,112,117,121,121,138,191,173,175,170,158,194,193,162,140,169,195,171,211,186,146,123,95,172,228,221,225,111,112,114,117,120,117,151,201,190,204,208,177,144,154,127,89,158,174,171,210,187,151,128,110,102,192,229,226,110,111,116,118,119,121,136,161,171,209,219,181,154,167,159,134,153,161,179,187,178,153,131,113,105,106,201,230,110,110,113,114,117,122,133,147,166,185,182,160,173,178,167,174,175,167,142,135,153,142,128,110,107,93,122,219,110,110,110,111,115,120,134,146,154,163,154,144,169,180,175,181,190,174,136,109,123,125,120,118,108,107,94,138,108,110,110,112,114,118,133,145,153,160,224,158,126,138,174,181,184,168,129,111,118,116,116,121,115,110,107,95,105,106,108,113,112,118,131,144,153,157,236,187,120,62,102,159,174,161,129,117,119,116,118,123,118,113,110,102,105,106,107,110,110,118,133,143,153,157,218,178,107,85,76,96,155,130,115,115,121,123,121,123,119,117,113,105,105,106,107,109,109,118,132,143,155,157,217,177,97,132,96,93,132,146,125,122,128,130,126,122,118,116,113,110,103,104,106,108,109,116,128,141,152,154,208,173,93,180,105,153,116,157,152,143,134,126,123,120,114,113,111,113,102,104,104,107,108,114,127,139,154,147,226,171,82,191,160,121,180,146,134,120,123,119,118,118,117,118,116,113,101,100,99,102,100,109,124,136,149,149,217,151,86,179,201,87,190,175,112,140,103,100,105,103,104,109,113,117,153,148,146,149,149,152,154,157,161,161,174,112,128,189,165,117,186,192,183,198,136,89,89,89,90,93,102,110,126,125,126,129,133,132,128,126,122,121,124,110,127,133,129,127,135,135,136,135,135,107,95,104,112,117,119,121,124,125,124,125,124,123,124,122,117,120,123,128,126,123,125,127,124,124,124,123,125,125,125,134,127,136,133,139,128,126,127,130,127,127,128,128,127,127,131,129,128,131,134,130,129,129,131,131,133,133,128,162,146,146,139,149,131,128,127,128,128,128,131,131,132,131,131,128,128,129,131,130,130,130,129,129,130,134,123,162,182,161,159,160
18,152,154,158,160,163,165,167,169,172,173,175,175,175,175,176,178,179,179,180,180,179,180,181,180,180,180,180,179,154,156,159,162,164,167,170,172,173,174,177,177,177,178,178,180,181,181,182,182,181,181,182,182,182,182,181,180,156,158,161,164,166,169,172,174,176,177,179,179,180,181,181,182,183,182,183,183,182,183,184,184,185,185,185,184,159,160,164,166,168,171,175,177,178,179,181,182,183,183,184,185,185,185,185,185,186,187,187,187,187,187,187,186,159,162,165,168,171,174,177,179,180,181,183,184,185,187,187,187,187,183,174,181,188,189,188,188,189,188,188,188,161,164,167,171,172,175,179,180,182,184,185,186,187,188,185,183,197,173,139,127,180,176,173,189,192,190,190,190,163,165,169,172,173,176,180,181,184,187,187,188,189,189,162,143,176,149,107,102,107,143,132,147,193,192,193,193,165,168,171,173,176,179,181,184,186,188,188,184,182,206,158,134,155,143,112,102,87,137,138,102,171,195,195,194,166,170,173,176,179,181,183,186,188,189,195,169,136,165,174,154,155,164,149,145,130,120,122,100,139,198,196,195,167,171,175,179,180,182,185,187,189,192,206,184,152,122,167,160,134,170,178,176,171,139,93,86,132,200,199,199,169,171,176,180,181,184,187,189,192,197,191,200,174,134,119,155,125,133,172,176,177,143,95,73,143,200,201,201,171,173,177,180,182,185,188,190,192,197,165,178,168,142,96,123,129,108,145,147,168,150,105,73,154,201,202,201,172,175,180,182,185,187,189,191,193,199,152,132,150,120,80,94,113,86,103,132,175,166,120,76,170,200,201,202,173,176,179,183,186,187,191,193,195,204,178,144,140,97,68,85,96,73,79,95,186,177,134,86,174,203,203,202,175,178,181,184,186,189,192,195,197,204,175,136,131,92,65,79,93,62,71,125,193,191,148,99,117,204,204,204,176,179,181,184,187,190,192,195,197,204,188,153,123,94,65,79,96,69,136,192,197,186,148,107,86,196,207,207,177,180,182,185,187,191,194,196,197,208,198,165,131,104,88,76,86,136,202,210,202,173,134,106,91,198,207,208,179,181,184,187,189,193,195,197,198,209,201,172,140,119,105,105,132,193,215,206,188,162,116,96,103,206,208,208,181,182,184,188,191,194,197,199,200,208,203,180,156,138,123,117,155,206,217,197,165,140,107,87,127,209,209,209,180,183,185,188,191,194,198,200,199,206,202,185,163,142,131,119,157,208,213,187,155,127,99,85,155,210,210,210,181,184,186,190,192,195,198,201,201,201,200,186,163,144,149,125,148,206,207,174,141,114,93,85,181,210,211,212,181,184,186,191,193,196,199,200,202,200,198,192,173,159,159,131,131,204,191,159,125,103,89,93,201,213,213,213,182,185,188,191,194,197,199,199,201,200,194,189,177,160,160,138,124,193,175,142,114,94,87,113,212,214,214,214,182,185,187,190,193,195,197,198,202,202,197,190,180,161,153,137,117,179,161,125,105,92,84,143,214,214,214,214,181,183,186,189,193,194,196,199,201,202,201,198,179,156,141,120,106,161,138,107,99,90,89,180,213,214,215,214,180,183,187,189,194,195,197,200,201,196,205,196,169,145,122,103,112,146,118,110,99,91,126,206,212,213,214,214,181,184,188,191,194,196,199,201,201,195,213,194,170,151,126,121,118,142,110,111,97,92,180,211,213,214,214,214,182,185,188,192,195,197,199,201,200,199,212,201,180,163,132,123,130,130,114,105,87,137,208,213,214,214,215,216
2,178,181,184,185,185,186,187,188,188,187,187,187,186,186,186,185,185,186,187,183,179,178,177,176,175,173,172,170,181,182,185,186,186,188,189,190,189,190,190,190,192,192,190,188,186,181,173,180,188,181,179,177,175,174,173,171,182,183,186,186,187,188,189,191,190,191,191,179,157,158,165,163,152,145,130,110,144,178,185,182,177,176,174,173,183,185,188,189,189,189,190,191,191,192,192,172,148,146,151,153,145,133,124,100,84,118,144,163,182,177,177,175,183,187,188,189,190,191,193,192,193,195,181,161,164,163,162,159,148,124,105,109,113,109,113,122,182,177,177,175,184,187,188,190,191,192,193,193,194,191,163,155,168,169,159,150,147,125,115,122,136,133,103,112,183,179,177,176,185,187,189,191,191,192,193,194,195,187,171,164,157,145,134,154,164,104,87,105,114,108,100,157,186,180,177,177,187,188,191,192,193,194,194,195,196,188,166,165,158,145,136,134,109,122,171,148,129,136,181,189,181,181,179,177,187,190,190,192,193,195,196,196,195,186,183,171,151,132,109,105,124,184,199,197,195,193,187,186,188,188,183,178,188,190,190,192,196,196,196,195,177,177,173,154,124,72,128,194,198,196,191,190,190,187,191,175,141,126,163,183,188,190,192,193,194,195,197,193,170,168,152,125,81,46,133,209,194,196,195,192,190,193,175,118,90,83,111,185,188,191,193,195,195,197,196,186,163,152,123,80,64,62,124,206,194,197,195,192,195,179,127,98,93,87,107,187,189,192,192,194,197,197,192,185,171,144,89,60,71,64,137,206,194,197,193,196,184,128,103,103,93,77,148,189,190,192,194,194,196,197,192,187,170,143,92,62,73,64,122,213,195,195,197,198,136,88,90,96,82,105,189,181,190,192,195,196,197,197,194,187,167,138,86,66,74,68,67,160,202,204,197,153,104,77,79,82,79,172,188,182,191,193,195,197,198,197,191,185,166,127,82,78,75,70,70,70,113,165,130,98,93,94,79,78,160,192,184,184,191,192,195,197,199,197,191,186,165,126,96,86,73,72,76,80,77,83,79,80,90,89,83,166,196,188,186,184,191,192,196,197,199,197,190,183,165,135,102,84,72,72,73,80,85,89,83,85,92,79,163,198,188,189,187,184,190,193,196,197,199,197,184,177,165,133,106,89,71,72,74,79,85,90,89,83,71,137,204,189,190,189,187,184,189,193,196,197,199,196,182,174,161,132,114,89,68,72,76,80,85,92,96,79,91,193,195,191,189,189,187,185,191,193,196,197,199,195,182,174,157,135,112,88,71,71,77,82,86,91,93,74,167,202,192,193,191,189,188,187,191,194,196,197,200,194,178,180,168,135,110,94,72,70,78,84,89,94,80,95,202,196,196,194,192,190,189,187,190,193,195,197,201,190,177,189,172,133,109,94,74,69,80,85,90,93,65,152,205,194,194,193,191,189,188,186,189,191,194,195,198,186,180,188,164,130,108,96,77,66,81,87,90,72,97,201,195,194,193,191,190,188,186,186,188,190,192,194,197,183,181,181,158,125,106,97,79,68,80,86,78,71,177,201,193,193,192,190,189,188,185,184,188,190,191,193,197,182,179,174,149,123,109,97,80,68,79,80,63,155,204,193,195,193,191,190,189,187,185,183,188,189,191,193,195,180,175,162,139,120,105,93,78,70,71,71,149,206,195,196,194,192,191,190,189,186,185,184,186,188,191,193,193,179,166,155,134,114,103,91,80,67,78,172,204,196,196,195,192,191,189,188,187,185,184,182
8,184,186,188,188,189,189,189,190,191,189,188,189,189,186,184,185,183,181,181,179,179,177,175,173,172,169,167,167,187,188,189,190,190,190,192,193,193,193,192,190,190,188,186,187,185,184,182,180,179,179,178,176,174,171,169,168,189,189,190,193,192,198,197,195,194,195,195,193,193,192,190,189,188,186,186,183,181,181,179,177,176,174,170,169,189,190,192,199,180,138,195,198,196,197,197,195,195,193,193,191,189,189,188,186,184,183,182,180,178,175,171,170,191,194,193,200,160,81,171,204,197,198,197,197,197,196,196,193,191,190,190,188,186,186,184,182,180,178,175,171,193,195,197,198,130,75,172,209,200,200,200,199,198,197,196,196,197,196,193,191,192,186,185,183,180,180,178,175,195,196,200,196,118,75,193,206,203,203,204,202,199,199,198,196,189,175,193,191,175,190,187,185,183,181,179,178,197,198,201,188,100,79,206,204,206,207,194,204,206,204,205,204,155,106,102,173,124,172,192,185,184,182,180,178,198,199,201,196,109,75,200,209,207,173,122,124,200,169,139,155,158,127,70,115,112,140,201,187,186,184,183,180,200,201,205,199,122,69,192,214,190,158,142,99,126,146,103,76,146,146,98,63,111,104,200,189,189,187,184,182,200,203,205,193,119,60,161,221,180,176,161,124,97,147,114,84,145,143,100,51,91,74,142,202,188,187,186,183,200,204,206,199,158,102,121,224,172,176,178,135,87,135,138,92,130,121,76,44,72,101,72,173,195,188,186,184,202,204,206,205,189,131,97,193,161,156,184,141,85,113,150,89,95,124,94,43,62,107,59,145,202,187,187,186,202,206,207,210,193,132,128,149,143,125,177,138,93,82,138,95,76,152,127,59,80,111,62,175,198,188,188,187,204,206,208,211,206,180,173,137,143,112,148,143,85,62,126,109,56,139,123,51,104,103,78,199,195,192,189,187,205,205,209,210,213,199,169,131,106,105,131,138,92,61,82,82,23,38,56,70,123,85,104,209,194,194,190,188,205,207,210,210,215,201,145,114,89,76,96,148,135,85,46,40,84,95,90,144,136,66,135,211,195,195,191,189,205,207,212,211,215,197,165,139,103,89,86,147,151,100,67,99,157,161,143,133,123,52,164,209,196,196,193,191,206,208,211,214,213,211,185,148,103,86,83,131,133,95,77,144,165,160,147,100,85,58,195,201,197,196,194,194,206,211,214,215,214,207,190,151,115,98,86,113,157,153,156,183,168,148,132,91,46,124,215,198,197,196,194,194,209,213,215,214,214,205,194,162,132,106,93,114,189,197,201,189,159,134,120,70,58,202,206,201,199,197,196,195,210,213,215,216,215,202,187,164,133,104,102,127,196,188,181,171,141,120,106,45,137,219,202,203,200,198,196,195,211,212,214,215,216,197,178,169,139,109,111,139,187,177,174,156,127,112,79,61,206,208,206,203,202,199,197,195,211,214,217,216,220,204,183,177,141,119,113,144,176,176,169,142,116,101,47,138,224,204,205,205,203,202,198,195,211,213,215,217,219,217,192,184,153,131,108,140,168,163,153,128,102,71,60,211,213,209,207,206,204,202,199,196,212,214,215,217,218,219,206,186,155,132,112,129,155,144,131,106,83,35,156,225,209,210,207,207,204,202,198,197,211,214,215,217,220,220,208,181,155,129,117,122,141,131,110,92,43,112,229,213,214,211,208,206,204,202,199,198,212,214,216,218,220,219,209,176,152,134,128,122,131,127,103,71,65,214,219,216,214,212,209,206,205,203,201,198
22,99,106,110,114,121,126,132,135,139,142,144,145,146,148,148,149,147,146,146,146,145,144,143,143,141,141,139,138,101,108,112,116,123,129,133,136,139,142,144,146,149,150,150,151,150,149,149,147,146,145,144,144,143,143,141,140,103,111,113,117,125,132,134,138,141,143,145,148,149,150,150,148,151,150,149,150,148,146,147,145,145,144,142,142,104,111,113,119,127,132,136,140,141,142,147,150,150,152,152,190,109,138,153,148,156,156,130,149,146,145,144,142,105,112,116,120,128,134,138,141,146,195,109,142,155,152,158,204,89,123,160,145,180,151,94,154,147,146,145,144,108,112,115,122,130,136,140,142,150,207,100,133,159,151,165,193,95,123,161,148,190,124,98,156,147,147,146,146,109,114,116,123,131,137,141,145,145,200,123,121,164,152,172,200,106,126,161,159,189,111,103,159,148,149,148,146,109,115,119,126,133,138,143,147,144,211,158,112,165,153,176,199,112,129,159,176,199,105,119,160,152,151,151,148,110,117,120,128,135,140,143,150,143,205,186,109,162,156,180,190,112,127,161,196,192,101,134,160,153,153,152,150,111,119,122,128,135,142,146,153,145,196,203,107,150,159,185,194,115,122,170,209,168,87,144,160,154,154,153,152,113,120,123,130,136,144,149,154,147,183,224,143,132,163,191,202,118,123,195,211,141,82,157,160,156,156,154,152,115,121,125,132,139,145,151,150,168,185,156,149,122,167,192,194,107,141,224,199,118,101,167,160,158,157,155,153,116,121,125,134,142,146,153,149,215,222,180,143,86,152,180,174,158,186,214,185,94,132,169,160,160,158,158,156,116,123,127,135,144,149,154,157,223,233,215,158,77,82,147,165,189,183,173,142,90,161,167,163,162,161,159,157,118,124,128,137,145,151,155,166,213,198,187,195,143,94,90,123,160,162,152,94,106,175,165,166,165,163,161,159,118,124,129,138,146,152,154,169,226,196,168,211,209,152,84,68,120,148,137,78,118,178,167,168,166,166,163,161,119,124,129,139,148,153,152,183,234,181,153,152,214,193,137,73,71,116,126,83,133,179,169,169,168,168,165,163,120,125,130,140,150,155,152,196,231,177,130,100,156,205,183,129,67,70,93,75,157,178,172,172,171,170,167,165,120,126,130,140,148,157,154,207,238,181,121,146,129,194,215,179,122,64,58,79,172,176,174,172,170,170,169,167,121,125,130,140,148,156,154,207,231,184,116,158,156,218,216,196,159,108,59,88,183,173,174,173,171,170,168,166,121,125,130,140,150,156,155,206,234,173,129,159,185,236,218,195,174,118,54,99,187,173,174,175,173,171,169,168,120,125,131,142,151,159,156,203,240,161,151,153,210,241,223,189,149,103,54,112,188,176,177,175,174,172,170,169,119,124,131,141,149,158,157,197,237,162,169,150,228,236,217,191,128,84,59,134,186,176,176,172,172,171,169,167,121,126,132,142,152,161,161,194,235,175,180,152,237,226,212,178,119,77,66,168,191,184,183,181,181,178,177,178,102,105,109,113,115,119,114,142,233,197,189,162,231,212,197,154,104,77,71,115,118,116,116,115,115,117,109,99,79,79,80,81,79,78,75,89,227,206,188,156,211,197,161,128,94,78,72,67,65,64,64,62,62,50,59,122,88,87,89,89,88,89,88,95,214,190,171,148,172,173,135,114,101,84,74,79,78,77,75,77,75,105,185,195,87,88,89,88,87,88,87,85,185,164,148,139,143,157,144,116,104,86,77,79,77,77,76,69,126,204,191,159
12,143,147,150,151,154,156,158,158,160,161,161,161,164,165,165,165,165,164,165,165,165,165,163,162,161,161,162,160,145,148,150,151,155,157,159,160,160,161,161,164,164,165,166,166,166,165,165,165,165,164,164,164,164,162,162,161,146,148,152,154,155,157,158,160,162,163,164,165,165,166,163,166,168,168,165,166,166,165,166,165,165,163,164,163,146,149,152,154,156,158,159,161,163,164,163,166,164,161,185,165,144,158,169,167,167,165,166,166,165,165,165,163,147,150,153,155,157,159,161,163,165,162,176,198,179,143,180,189,137,116,168,166,168,169,166,166,167,165,165,164,148,151,154,156,158,160,163,165,166,161,199,219,196,159,125,178,164,108,152,184,151,151,169,167,167,165,165,165,149,151,154,157,159,161,163,165,167,162,197,203,205,180,156,126,156,136,130,192,147,111,149,172,167,166,166,165,149,152,155,158,160,161,163,165,165,161,194,174,163,186,158,98,138,151,99,139,151,102,113,173,168,167,166,167,149,153,156,158,160,162,165,161,173,192,157,140,152,167,154,135,152,124,81,104,131,101,101,170,170,167,166,167,150,153,157,159,161,164,161,173,217,191,142,104,130,175,176,176,161,131,112,154,118,97,103,171,170,168,167,169,150,154,158,159,161,164,160,207,206,178,149,108,82,152,165,159,172,180,168,160,112,89,111,176,170,170,169,170,151,154,158,160,163,160,181,201,187,192,157,115,65,95,121,146,170,199,187,155,108,76,134,177,170,171,170,170,152,155,158,160,164,159,203,193,181,195,163,128,76,77,78,99,163,185,191,170,142,97,157,176,170,171,170,170,152,156,158,162,159,181,203,182,167,200,182,144,82,83,85,129,186,178,171,150,152,123,130,178,171,171,171,170,150,154,158,161,157,204,207,182,145,163,198,154,100,77,146,195,188,174,166,137,133,123,114,175,172,171,172,171,151,155,157,159,158,210,209,182,145,125,165,190,127,138,209,185,179,169,158,134,119,104,128,177,172,171,171,171,152,156,159,160,164,217,210,182,168,166,135,142,151,209,209,188,175,169,148,131,110,97,149,178,173,172,171,172,152,156,160,159,166,218,207,189,188,180,154,152,201,212,209,192,165,156,137,129,106,101,166,176,174,174,172,172,152,156,160,159,165,214,209,201,194,182,165,161,202,211,200,184,158,140,133,123,100,117,178,174,174,174,172,172,152,156,158,161,162,208,214,206,193,179,167,162,196,205,189,170,146,136,135,114,94,149,181,174,175,175,173,171,150,154,157,162,156,194,212,200,190,181,172,169,188,192,175,154,141,139,133,102,111,176,175,174,174,173,171,170,152,156,159,164,161,181,206,190,182,179,172,169,182,188,168,149,138,135,121,98,156,182,177,177,177,176,175,175,132,133,134,136,131,159,204,177,176,176,167,155,172,187,166,142,128,124,109,103,134,134,132,132,132,132,131,132,100,99,98,101,90,128,206,172,175,178,166,153,164,182,152,123,116,113,103,96,92,92,91,91,90,90,90,90,108,107,106,109,100,131,210,177,184,182,167,154,159,178,140,117,110,105,102,102,100,101,100,99,99,97,97,97,107,106,107,110,101,131,214,188,196,189,172,155,151,173,139,119,103,100,102,103,102,100,99,98,99,97,97,97,108,106,107,110,102,125,210,196,203,189,171,151,144,168,141,117,102,99,101,102,102,100,100,99,99,99,98,95,107,108,108,109,105,116,203,198,198,178,165,153,140,159,137,111,101,98,102,102,101,100,99,99,100,99,95,103
23,197,198,198,199,201,201,201,201,201,201,202,203,202,202,202,202,202,201,201,202,201,199,199,198,198,197,194,192,201,202,202,204,204,205,206,207,206,207,207,206,206,206,205,205,206,207,205,205,204,203,202,201,200,200,198,195,206,207,208,209,209,210,211,211,212,212,210,209,210,209,207,213,213,210,209,208,208,208,205,205,204,202,202,200,211,210,211,214,213,213,215,216,216,214,223,212,215,219,215,180,204,222,212,212,213,211,209,209,208,206,206,204,215,216,216,218,217,217,219,221,217,223,255,229,217,237,221,182,143,200,225,217,216,215,214,212,211,210,209,208,219,219,220,221,222,221,223,225,219,247,247,210,138,159,148,178,179,157,185,224,219,218,218,216,216,215,213,211,223,223,224,225,224,226,227,227,229,255,236,194,120,197,207,188,156,133,146,229,222,222,223,221,220,218,217,215,225,226,227,227,228,229,229,227,242,241,240,170,185,241,190,225,219,204,223,232,226,226,225,225,223,223,221,220,228,230,230,231,233,233,235,233,244,236,241,247,254,227,136,184,254,235,234,233,232,231,227,227,227,226,225,223,231,234,234,234,236,228,214,220,225,236,239,236,229,218,137,120,215,239,234,235,235,233,232,231,228,227,226,226,235,237,236,238,234,209,179,190,202,205,201,200,193,178,136,70,86,209,246,236,237,235,234,235,234,232,230,228,236,238,238,237,241,231,227,214,220,211,196,189,167,106,97,71,60,182,255,238,241,239,237,237,237,236,234,233,239,240,242,237,236,243,241,229,204,150,146,153,149,91,93,70,78,228,248,242,243,243,241,241,239,237,236,235,242,243,245,241,224,226,248,228,149,116,66,123,165,92,95,70,123,255,245,247,246,245,244,243,242,241,238,236,244,244,248,246,223,218,254,224,131,74,54,156,171,99,90,52,145,255,246,250,248,246,246,246,244,244,241,238,245,247,249,249,224,216,255,231,160,82,82,141,108,88,73,57,124,255,249,251,250,250,249,248,247,245,244,244,250,250,252,251,221,218,255,237,161,108,57,50,46,56,65,74,116,255,252,251,251,251,250,250,249,248,246,245,251,250,253,249,213,235,255,235,165,126,70,43,62,69,80,81,140,255,253,253,254,253,252,250,250,250,250,248,251,254,255,249,215,238,255,237,175,131,104,80,98,97,99,85,156,255,254,255,255,254,253,252,252,252,251,250,254,255,255,255,220,226,241,218,163,133,120,90,105,105,104,86,184,255,255,255,255,255,255,254,253,252,251,251,255,255,255,255,225,217,222,200,170,164,128,95,105,105,104,94,233,255,255,255,255,255,255,255,255,254,253,251,255,255,255,255,232,221,220,199,177,164,123,101,106,114,93,138,255,255,255,255,255,255,255,255,255,255,255,252,255,255,255,255,239,237,219,197,166,140,115,105,109,110,102,237,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,253,226,203,180,142,111,102,103,104,224,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,246,252,224,208,187,133,100,101,87,193,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,228,209,193,164,107,92,94,106,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,212,195,190,178,103,98,91,146,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,216,191,208,210,112,103,91,166,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253
7,173,176,178,179,181,181,184,184,185,185,185,185,184,185,184,183,183,182,183,181,180,180,178,177,176,175,174,173,175,178,180,181,183,183,185,186,186,187,187,186,186,186,185,184,185,183,182,183,183,181,179,178,177,176,176,175,177,179,181,182,185,186,187,188,189,190,189,188,188,189,189,187,186,185,185,185,183,182,181,179,178,178,178,176,179,180,183,184,186,188,191,190,191,190,190,190,192,190,189,187,187,187,185,185,185,184,182,181,180,179,178,178,180,183,185,187,188,190,193,193,192,193,192,192,193,192,191,190,190,187,187,186,185,185,183,183,182,181,181,179,182,185,189,189,192,194,194,195,195,194,194,193,192,193,193,192,191,189,189,188,186,186,185,184,183,182,182,180,185,187,190,191,194,197,199,203,201,199,200,200,201,201,200,198,197,196,195,196,193,189,188,186,185,184,182,181,185,187,192,193,194,193,177,169,181,186,178,167,169,169,176,176,173,169,175,162,162,181,186,187,188,186,184,184,187,190,194,194,193,175,141,113,116,131,144,134,124,112,129,149,148,131,146,116,144,189,157,187,190,187,185,184,189,192,190,188,177,165,155,142,110,92,113,121,125,109,114,135,134,128,125,119,132,160,140,187,193,190,187,185,187,183,174,167,169,174,175,151,94,76,93,107,99,73,84,80,86,97,90,88,95,101,148,193,176,187,189,186,177,172,171,172,163,152,165,131,69,82,96,116,114,99,79,93,129,149,137,117,132,133,170,218,138,170,196,188,175,171,167,160,148,142,147,138,93,63,70,91,99,113,106,91,131,153,142,129,128,125,114,132,132,190,194,191,174,164,156,152,151,149,148,152,121,65,36,37,51,76,82,79,95,93,97,89,96,109,125,152,193,198,193,192,166,158,152,149,147,146,147,137,105,65,37,50,132,105,101,111,126,141,153,168,191,202,205,206,199,196,195,194,158,149,142,140,133,132,129,120,94,56,47,36,168,228,207,212,217,217,214,210,206,203,201,200,200,199,197,195,152,146,141,140,139,137,134,129,107,58,43,41,68,219,211,211,209,208,207,205,204,204,203,202,200,201,198,195,152,149,142,143,138,138,142,142,111,60,47,48,44,202,218,211,212,211,209,208,207,207,206,203,202,201,199,198,158,160,155,143,134,122,127,125,98,68,60,53,32,163,226,212,211,210,211,210,209,208,207,205,204,202,200,199,160,159,156,141,132,119,112,103,82,72,72,61,39,72,226,215,214,213,212,211,209,208,208,206,205,204,201,199,152,147,135,119,110,101,92,85,72,67,75,59,30,99,226,215,215,214,212,210,210,209,207,207,206,203,202,201,134,129,108,87,72,68,73,49,46,59,61,87,151,200,219,214,214,213,212,210,210,209,208,208,207,204,202,200,86,100,88,65,89,140,195,159,119,128,169,211,228,218,217,216,216,214,212,211,210,210,208,207,207,206,202,200,5,20,12,104,222,220,220,226,227,226,227,221,216,217,219,218,217,216,214,213,213,211,209,208,207,206,204,202,0,0,0,189,221,212,216,215,216,218,218,219,220,219,218,218,218,216,216,215,213,211,210,209,207,207,203,201,0,0,87,225,210,215,216,218,220,221,220,220,221,218,218,217,217,216,216,214,211,209,209,208,208,209,208,209,4,0,194,220,214,219,219,222,223,222,224,224,223,222,221,220,220,220,219,219,217,214,216,216,208,201,190,174,7,0,180,200,195,198,200,200,201,201,200,200,199,200,198,196,195,194,194,193,191,189,175,131,85,67,46,29
20,157,160,164,168,172,174,177,180,181,183,184,185,186,187,188,189,192,184,188,187,188,187,187,186,186,186,185,183,158,162,166,171,174,176,178,181,183,185,186,187,188,189,190,192,212,166,173,185,187,190,189,188,188,187,186,186,160,164,168,173,176,178,180,184,185,187,188,189,191,193,192,194,222,161,170,175,167,193,192,191,191,190,188,188,162,166,169,174,178,180,182,185,187,188,190,192,193,194,193,197,223,166,186,186,147,193,195,194,194,193,192,190,164,167,171,175,180,181,185,188,189,190,192,194,195,196,195,201,230,180,189,200,144,191,197,196,196,195,194,193,166,170,173,177,181,183,186,189,192,192,194,196,197,198,197,206,233,181,195,214,152,188,199,200,199,198,196,195,167,171,175,179,182,185,189,192,194,195,196,197,197,199,199,213,226,178,205,213,152,185,202,201,201,200,198,196,170,174,177,181,185,188,190,193,195,196,199,200,203,214,205,211,223,176,211,209,147,185,204,203,202,201,200,198,171,176,179,184,187,189,192,194,197,199,200,201,221,247,222,172,180,167,209,205,148,190,206,205,204,203,202,201,173,178,182,186,189,191,194,196,199,201,208,225,223,209,210,169,132,137,185,187,148,195,208,207,205,205,204,202,175,179,183,187,190,194,197,198,200,201,227,241,228,186,189,193,182,155,144,157,142,198,209,209,207,206,206,205,177,180,184,188,192,196,199,200,202,204,228,199,188,201,158,193,217,183,127,126,133,202,210,210,209,208,207,207,178,182,186,190,193,197,200,201,204,205,229,183,132,134,110,139,208,199,145,115,124,201,211,212,211,209,209,209,179,183,187,191,195,199,201,204,206,208,229,192,167,137,114,116,183,226,178,121,120,201,214,213,213,211,210,210,181,185,188,193,197,200,202,205,207,212,241,220,175,141,130,137,166,240,207,141,114,198,216,215,215,213,212,212,182,185,189,194,198,200,204,207,208,214,243,211,162,141,142,158,188,247,224,163,119,193,217,217,216,214,214,213,184,187,191,196,200,202,205,208,209,215,243,215,174,158,160,174,222,252,224,175,126,191,218,217,217,216,215,215,186,189,192,197,201,204,207,209,211,217,247,227,189,168,177,197,248,250,215,173,129,191,221,221,219,218,217,216,186,190,194,198,202,205,207,211,214,218,248,237,203,175,190,218,254,246,210,168,130,192,224,222,220,219,219,219,186,190,194,198,201,204,208,211,213,216,247,242,209,190,195,234,251,233,204,162,126,189,225,221,220,220,220,219,187,191,195,199,201,205,208,211,213,215,244,245,216,209,201,237,247,221,196,156,120,186,225,223,221,219,218,218,187,192,196,199,203,207,210,212,214,215,236,248,227,223,212,225,235,209,187,151,114,186,226,223,222,221,219,219,187,192,196,199,204,208,210,213,215,217,228,247,235,227,214,204,216,190,179,142,111,193,226,224,223,222,222,221,188,193,197,201,205,208,210,214,216,219,224,247,241,221,196,183,193,177,176,138,118,210,227,225,225,223,224,218,189,194,198,203,206,208,211,215,217,217,214,245,233,204,171,162,181,174,167,123,142,225,228,227,228,227,206,156,182,187,192,198,201,206,209,214,196,125,107,223,220,187,159,156,187,167,150,104,166,230,229,229,228,202,138,110,144,145,148,151,153,157,159,164,151,91,53,182,223,193,160,167,199,148,122,77,79,163,193,194,187,133,98,93,112,111,114,117,118,117,116,120,130,124,94,133,198,183,164,179,193,126,98,54,45,94,121,129,134,108,84,74
22,102,110,115,118,127,133,138,142,145,149,151,152,156,158,157,158,158,158,156,155,155,154,152,152,150,148,147,146,103,112,116,120,128,134,139,143,148,150,151,159,158,159,160,161,158,160,164,158,158,158,155,153,151,150,149,148,105,115,119,123,130,136,143,147,148,170,137,114,166,160,162,161,165,143,135,164,158,159,157,159,159,153,151,150,107,117,121,124,131,138,144,149,147,192,142,72,165,162,164,162,177,127,67,163,162,160,163,140,136,158,154,151,109,117,121,126,134,140,145,151,149,196,154,72,163,166,165,167,171,112,65,169,163,164,168,105,69,161,156,154,110,119,123,128,136,141,148,153,150,194,167,77,158,170,167,170,163,94,91,177,161,170,163,94,79,168,156,156,111,120,123,129,138,145,150,155,151,199,186,89,145,175,167,162,155,77,120,177,168,177,142,61,128,170,158,158,112,122,125,131,138,147,151,157,152,197,182,88,132,180,167,155,137,61,142,173,183,178,112,73,169,163,161,160,113,123,127,132,140,148,153,159,155,195,180,89,113,183,167,167,142,57,159,179,176,145,82,120,175,164,163,162,116,125,129,134,143,150,155,160,158,188,201,123,102,182,164,168,119,70,185,199,174,103,65,166,169,167,165,164,117,126,129,135,144,151,155,161,163,177,201,127,83,179,144,145,69,93,211,198,164,74,105,182,167,168,167,166,118,127,130,137,146,153,159,163,166,168,200,113,44,131,126,144,129,167,196,174,130,56,161,177,171,170,168,166,120,127,132,138,146,154,160,163,177,144,146,101,70,138,152,152,181,181,174,143,66,93,186,172,173,171,169,168,121,128,132,139,146,155,161,167,187,143,119,104,115,117,132,161,166,167,163,102,54,167,179,175,174,173,171,168,123,131,132,140,150,159,159,180,195,158,168,152,140,77,46,125,146,159,127,63,102,194,176,177,176,176,173,171,123,132,134,142,151,159,160,187,210,167,150,155,141,117,78,40,90,103,74,47,132,194,179,178,178,176,174,173,124,132,135,143,152,158,160,200,200,155,88,79,132,145,124,79,36,46,54,41,163,190,183,181,180,179,176,174,124,131,135,144,154,160,163,207,201,155,87,32,78,153,141,115,76,47,35,40,177,188,185,182,182,180,176,175,125,133,136,145,153,161,163,210,223,160,169,64,104,191,158,123,102,75,26,18,167,192,185,183,182,181,178,177,126,133,137,146,153,163,165,211,221,160,150,71,158,212,169,129,108,77,23,10,165,195,184,184,182,182,182,179,127,133,136,145,154,162,163,210,224,162,135,144,204,177,166,124,93,64,16,30,186,190,185,184,184,184,182,179,125,133,136,144,154,162,161,202,216,181,142,173,215,157,143,145,86,56,6,72,202,184,184,184,183,183,182,178,126,133,135,146,155,163,163,194,213,192,144,180,206,158,139,138,100,44,0,113,203,184,185,184,183,184,182,178,127,133,136,146,155,165,165,187,206,195,148,161,193,153,133,123,81,31,4,155,198,188,188,185,184,184,182,180,126,133,136,145,154,162,169,164,205,187,149,129,157,125,103,89,48,9,38,193,188,187,187,183,182,181,180,179,128,135,138,148,158,168,174,35,126,185,106,93,111,109,84,55,33,10,128,211,196,197,195,192,190,190,189,187,101,105,107,111,113,122,93,9,12,94,100,107,114,127,103,56,33,24,118,128,124,123,124,125,124,125,124,124,75,75,74,76,76,67,21,14,15,7,77,110,109,118,100,48,10,0,61,62,60,59,57,57,56,55,44,25
7,87,95,107,127,136,143,148,150,151,154,157,158,158,159,160,161,162,161,160,159,158,158,157,156,154,152,151,149,87,96,108,128,138,144,149,151,153,156,158,160,161,161,162,163,163,163,162,161,160,160,159,157,156,155,152,151,88,97,110,129,139,145,149,152,155,157,158,161,162,163,164,164,165,165,164,163,163,161,160,159,157,156,154,153,90,98,111,130,138,146,150,153,155,158,160,162,163,164,165,166,166,166,165,164,163,162,161,160,159,158,157,155,91,99,112,131,139,147,151,154,156,159,162,163,164,164,165,167,167,167,166,165,164,164,163,162,161,160,158,156,92,99,113,132,140,147,153,155,157,160,162,164,165,166,166,167,169,170,170,170,169,168,167,164,162,160,159,157,92,100,113,133,141,148,152,155,156,160,164,166,168,170,169,169,167,165,160,151,151,152,160,166,163,162,161,159,93,100,114,133,141,148,154,159,159,160,159,158,151,146,139,121,123,125,119,112,146,149,128,170,165,163,163,161,94,101,116,134,142,148,153,142,135,130,133,131,120,114,110,97,107,100,101,104,113,109,121,161,167,165,162,161,95,101,117,134,140,154,145,114,115,122,121,119,114,107,106,106,102,108,107,104,99,93,105,122,134,168,163,162,95,103,116,135,152,155,134,105,96,97,101,110,118,123,124,110,94,115,112,99,95,86,94,109,104,166,165,162,96,99,124,152,151,141,134,123,117,120,130,130,126,121,114,94,85,90,85,79,81,83,88,102,139,170,164,164,90,117,154,151,144,145,133,118,114,117,123,114,110,104,87,80,94,113,130,144,156,162,168,172,173,169,166,164,118,160,154,148,148,137,119,88,88,98,90,78,73,81,133,161,171,180,182,180,178,176,174,172,171,170,167,165,161,159,151,150,133,121,106,79,79,72,59,54,59,62,68,127,184,173,174,174,174,174,174,173,172,170,168,166,153,153,153,140,125,117,110,103,84,69,71,73,71,68,52,82,183,175,177,176,176,175,175,174,172,170,169,167,152,154,141,122,116,113,122,126,93,70,74,73,71,69,64,67,169,180,176,177,177,176,176,175,173,170,169,167,151,138,119,110,109,107,110,103,75,63,55,58,66,69,59,58,160,182,177,177,176,176,176,175,173,171,169,168,132,118,113,111,109,98,91,82,71,60,59,75,80,69,69,159,180,178,178,178,176,176,175,174,173,171,169,168,116,115,110,104,95,85,80,88,88,74,72,69,65,68,135,182,175,176,176,176,175,175,174,172,171,170,168,166,115,107,96,91,88,86,91,101,89,65,72,102,132,164,179,174,176,176,175,175,175,175,173,173,171,169,167,164,108,102,98,97,94,87,83,77,66,95,153,176,178,176,174,175,175,175,175,174,175,174,173,173,171,169,166,162,83,81,85,83,77,74,76,99,135,165,170,167,169,172,174,174,175,175,175,176,175,175,173,173,171,169,167,168,60,57,33,60,131,132,150,164,168,164,167,170,172,173,174,175,175,174,174,173,172,171,169,167,166,167,164,127,62,56,12,62,143,127,127,123,121,122,122,120,119,119,120,119,116,113,113,111,109,106,103,105,93,75,62,35,54,33,11,65,99,92,94,94,95,96,95,95,96,95,95,94,94,94,92,91,90,90,90,78,42,25,22,18,12,8,18,80,106,102,101,101,101,101,100,100,100,100,100,100,100,100,100,97,96,89,59,32,25,24,20,13,20,36,42,69,103,100,100,100,101,101,101,100,100,100,100,99,97,95,95,96,76,46,20,21,19,17,16,13
13,126,127,130,133,135,139,141,143,145,146,147,149,150,150,151,151,150,153,154,152,152,152,151,152,153,153,153,153,126,129,133,134,137,140,142,144,147,147,149,151,151,151,152,151,151,149,146,155,153,154,153,154,155,155,156,155,128,130,134,136,138,141,143,145,148,148,150,153,152,151,155,153,156,135,89,100,160,156,156,155,155,155,156,156,130,132,135,138,140,143,145,146,149,149,151,153,152,154,153,162,171,136,85,53,162,151,159,159,155,157,157,158,131,134,136,139,141,144,147,149,150,150,153,151,157,134,107,125,167,131,83,49,104,92,93,137,164,159,160,159,132,134,137,140,143,146,148,150,152,153,154,160,184,132,92,82,158,123,86,29,89,107,55,63,166,159,161,159,133,136,138,141,144,147,149,151,154,154,152,151,169,156,111,88,150,115,67,50,143,120,61,40,146,165,160,161,134,136,140,142,146,148,151,153,152,154,155,106,76,124,124,76,145,138,54,91,157,109,63,41,149,166,162,164,135,138,142,143,147,149,152,153,154,168,154,111,74,69,122,65,162,152,67,108,149,102,59,45,160,165,164,165,136,139,143,146,149,151,153,153,166,154,155,128,90,56,109,77,86,104,41,107,173,119,49,55,169,166,167,166,137,141,144,147,149,152,153,157,164,123,149,131,89,46,85,98,17,0,35,118,151,96,26,77,176,164,167,168,137,141,145,147,149,152,153,163,163,126,121,126,89,40,66,95,44,0,50,132,112,66,32,121,178,165,167,168,138,141,144,148,150,153,156,168,159,125,104,135,82,47,54,82,49,28,98,131,129,119,84,81,175,169,169,168,140,141,144,148,151,154,155,173,160,131,95,126,80,46,46,101,65,89,167,133,113,99,82,46,139,178,168,169,141,142,145,148,152,154,156,173,156,128,92,109,90,60,49,130,94,133,159,142,114,83,66,47,145,178,168,170,140,143,146,149,153,155,159,173,158,138,117,91,88,77,31,120,140,167,154,132,108,75,57,58,167,173,172,171,141,144,148,150,153,155,161,175,160,142,127,104,75,61,73,160,166,171,150,123,98,70,50,73,178,173,175,174,141,145,147,149,152,155,159,172,160,142,130,125,96,88,103,161,167,165,136,108,85,64,45,117,181,172,174,173,140,144,147,150,153,155,157,164,160,149,136,131,106,89,88,153,170,152,119,94,75,55,64,169,173,172,173,173,140,144,147,150,154,156,158,158,158,151,136,133,114,92,94,147,166,137,110,84,67,42,106,181,170,172,173,173,142,145,147,151,154,156,158,159,161,154,137,131,117,95,98,135,148,120,99,76,61,45,144,175,172,173,174,174,143,146,148,152,153,154,157,160,162,153,135,128,111,88,100,129,118,104,85,68,52,77,175,171,174,173,174,174,143,146,147,151,154,155,158,159,162,143,127,117,94,81,107,117,98,94,73,62,45,138,178,171,174,174,174,175,143,145,148,150,154,157,154,159,163,134,125,107,90,93,112,112,95,86,71,49,95,176,172,173,174,174,175,175,146,150,152,155,158,163,153,168,164,137,131,107,95,107,121,100,91,69,58,57,157,176,171,172,173,173,174,174,109,115,121,127,132,132,140,171,166,144,142,109,103,118,110,88,78,60,40,112,182,175,177,179,181,181,181,179,61,64,65,66,68,59,108,168,149,142,142,112,106,115,103,77,62,52,45,85,105,106,112,111,115,122,124,134,72,74,73,71,73,59,117,166,138,129,125,106,99,112,101,64,57,46,50,67,67,68,67,75,93,106,107,120
12,209,214,219,222,225,228,230,232,233,233,234,234,234,234,234,233,233,234,234,231,231,230,228,227,227,226,224,221,212,216,220,224,227,229,232,234,235,235,235,236,236,236,235,239,237,234,235,232,233,233,232,231,230,227,226,225,213,217,221,225,227,230,234,235,236,238,237,235,237,242,236,217,230,241,237,241,236,236,235,235,233,232,229,228,214,218,221,226,230,233,235,236,238,238,245,229,193,221,255,212,168,219,232,206,235,239,237,236,234,233,231,231,215,219,222,226,231,234,235,237,240,236,255,255,231,180,209,255,211,149,184,185,169,241,239,239,236,235,235,233,218,222,225,228,233,236,239,241,238,253,255,255,255,203,133,227,235,151,114,192,148,184,250,238,239,237,235,235,220,224,228,232,235,237,241,243,235,255,237,237,255,190,125,197,219,152,104,156,158,123,243,241,239,239,237,236,221,225,230,233,237,242,241,240,246,213,174,245,241,172,114,208,204,140,114,161,145,123,245,242,241,240,239,238,224,227,232,235,240,241,244,255,255,177,125,183,221,191,106,191,236,160,115,187,148,141,254,242,244,243,241,238,226,230,234,238,239,249,255,255,255,198,129,124,228,194,90,196,255,156,127,236,151,178,255,242,244,243,242,241,228,232,238,240,245,255,245,230,255,211,131,79,185,176,64,130,242,139,115,218,159,228,251,246,245,244,242,241,231,235,242,241,255,255,240,204,248,199,133,79,94,105,82,125,155,159,168,181,124,220,255,246,247,246,243,242,234,238,242,247,255,241,208,160,217,199,136,84,89,93,186,255,212,208,186,168,141,157,255,247,249,248,246,243,236,241,245,244,255,245,213,149,182,201,131,90,98,155,230,247,237,207,168,137,155,129,240,255,249,249,247,244,240,243,249,243,255,252,220,173,155,195,165,102,128,215,244,238,231,208,165,139,132,126,247,254,250,250,248,245,242,247,249,254,255,255,231,199,147,170,189,111,206,254,250,241,237,188,157,139,97,169,255,253,251,249,247,246,245,251,249,255,255,255,239,205,172,150,153,177,255,254,255,255,219,167,152,127,101,242,255,254,255,255,255,253,247,252,253,255,255,255,250,212,197,180,164,220,240,249,255,244,192,159,150,100,154,255,255,255,246,219,176,130,250,254,255,255,255,255,255,222,213,197,175,220,221,255,255,221,178,153,138,100,240,250,201,153,106,85,78,71,252,255,255,255,255,255,255,231,227,208,181,230,224,253,246,197,166,143,120,121,157,97,75,65,68,69,73,83,255,255,255,255,255,255,254,236,229,211,191,220,245,227,215,176,152,134,109,75,64,63,70,66,71,64,62,78,255,255,255,255,255,255,254,240,224,210,199,206,233,212,186,163,141,127,81,51,63,74,60,59,69,72,54,63,255,255,255,255,253,255,255,238,222,208,190,193,218,201,172,152,133,109,81,46,51,76,68,49,58,73,65,52,255,255,255,255,255,255,246,226,215,206,184,193,209,191,152,140,120,81,89,60,37,58,76,57,47,63,71,57,255,255,255,255,255,255,228,207,212,200,183,197,197,173,138,123,78,49,77,79,37,40,65,70,47,47,66,65,255,255,255,255,255,255,230,218,227,213,196,199,185,156,134,101,71,39,58,81,52,27,49,68,63,41,54,68,255,255,255,248,242,255,240,242,248,215,193,192,174,149,127,76,70,46,44,67,67,27,33,56,70,53,44,63,255,255,255,205,200,255,255,255,251,203,194,195,170,145,115,75,60,57,33,52,72,38,24,46,67,64,46,49
6,153,154,154,155,156,156,157,158,158,158,158,157,157,157,157,157,157,158,158,158,158,157,156,156,154,153,154,154,157,157,157,158,159,159,159,159,159,160,160,159,159,159,160,160,160,160,160,159,160,159,158,157,157,156,156,155,160,160,161,161,161,162,162,162,162,163,163,163,163,163,163,163,164,163,162,162,162,162,160,160,160,160,158,152,163,163,163,164,164,164,164,164,165,166,166,165,166,166,166,166,166,165,165,165,165,164,164,163,164,163,161,148,166,166,166,166,167,167,167,167,168,169,168,167,167,168,168,168,168,168,168,168,166,167,172,167,165,165,164,157,169,169,169,169,169,170,171,171,171,172,172,158,148,164,170,170,170,169,166,166,163,169,183,167,164,167,167,164,172,172,173,173,172,173,174,175,174,175,178,148,121,151,164,164,169,168,161,159,157,154,161,152,162,170,169,169,174,174,176,176,175,177,178,178,178,180,181,159,151,163,161,157,160,156,147,137,132,127,134,152,169,172,172,171,176,177,178,179,179,180,180,179,178,179,182,179,177,168,151,139,127,121,117,117,126,143,162,172,174,174,174,173,179,180,181,181,181,181,176,173,174,176,177,171,156,138,124,116,117,126,140,157,168,176,179,178,177,176,175,174,181,182,183,183,184,182,174,169,164,160,151,131,109,101,115,145,165,173,178,181,182,183,182,180,179,178,178,177,184,184,184,185,190,190,186,175,148,128,121,111,99,107,141,168,179,184,186,186,185,185,184,183,182,181,180,179,186,186,186,188,195,199,198,170,131,117,113,117,122,125,128,133,145,162,183,188,187,187,187,186,184,183,182,181,188,188,188,193,201,204,202,171,145,138,120,114,123,128,122,118,115,116,163,189,189,189,189,188,186,185,184,184,189,189,191,199,208,208,206,196,189,171,131,109,114,120,115,109,104,98,149,191,192,191,190,190,188,187,186,186,191,191,194,204,210,209,208,208,206,185,142,112,110,115,117,111,103,97,139,189,193,192,192,192,190,189,189,188,193,193,196,204,209,209,208,208,205,195,171,139,112,102,111,115,109,98,118,182,195,193,193,193,193,192,192,191,194,194,196,206,209,210,209,208,206,206,198,167,122,99,106,111,106,95,116,182,196,195,194,195,195,194,193,193,195,194,197,207,211,213,212,210,207,208,202,167,125,104,103,105,101,92,109,174,198,197,196,196,196,195,194,194,197,194,201,209,213,215,215,210,206,204,188,152,121,108,103,102,99,93,98,163,199,199,198,197,197,196,196,196,196,191,201,210,213,215,211,203,199,190,167,139,121,112,98,96,96,96,121,180,201,200,200,199,198,198,197,197,193,190,203,210,212,210,201,194,190,175,152,134,130,124,95,80,85,111,167,198,202,202,201,200,200,199,198,198,189,194,206,208,206,200,190,186,182,169,151,140,134,124,92,82,108,161,198,204,203,203,202,201,201,200,200,199,186,197,206,203,198,192,185,181,176,166,154,141,121,116,134,153,180,201,207,206,204,204,203,202,202,202,201,200,185,198,203,196,190,184,184,182,170,159,148,126,106,139,192,203,206,208,208,207,206,205,205,204,204,203,202,201,189,197,197,191,185,177,178,175,162,149,133,111,111,174,207,209,208,208,207,208,207,207,206,206,205,204,203,202,192,195,192,187,180,170,168,163,150,134,114,103,142,199,210,210,210,209,208,209,208,208,208,207,206,206,205,203,192,193,192,187,176,167,161,153,136,116,100,110,176,208,209,210,210,210,209,209,209,208,208,208,207,207,206,205
22,133,138,142,144,146,149,152,154,156,156,158,159,160,160,158,160,163,160,160,159,157,159,157,156,155,153,153,152,138,141,145,147,149,152,154,157,159,157,163,163,162,161,169,155,144,165,161,162,161,161,161,159,157,155,155,154,140,144,147,149,153,154,156,159,161,174,136,157,168,160,193,148,92,171,163,163,165,165,162,162,160,159,158,157,140,146,149,153,156,157,159,161,167,198,98,139,176,164,197,144,99,172,165,168,144,148,167,161,162,161,161,161,143,148,152,156,159,161,162,162,170,190,103,132,178,168,187,134,106,175,167,174,120,106,176,163,165,163,163,162,146,150,155,157,160,162,164,166,168,194,119,119,182,171,180,137,115,179,172,184,114,111,178,166,168,165,165,165,147,152,156,159,162,164,167,171,168,198,142,114,181,174,186,147,119,179,179,186,107,129,180,169,170,167,168,167,150,154,159,163,165,167,170,174,170,200,166,110,175,179,178,142,117,181,190,185,99,151,179,171,172,170,169,169,153,158,162,165,167,169,171,174,171,199,169,97,163,182,176,136,117,185,198,177,97,168,179,175,174,173,172,171,153,159,163,165,168,171,174,177,172,204,198,107,143,187,190,132,119,194,198,149,97,181,179,177,177,176,174,173,155,160,164,167,171,174,176,179,175,193,198,114,136,193,191,121,130,208,207,118,113,191,177,179,179,178,176,174,158,162,166,170,172,174,178,180,200,187,173,136,131,165,185,113,155,215,190,95,149,191,182,182,180,179,178,176,158,163,167,171,174,177,178,187,227,178,190,206,182,129,128,183,185,194,157,90,177,188,185,183,182,181,180,180,160,165,169,174,178,179,180,191,217,166,120,213,208,152,79,143,162,168,118,104,193,186,186,185,184,184,182,181,162,168,172,175,180,182,181,197,202,189,96,104,197,184,127,72,106,122,82,131,198,186,187,186,185,185,184,182,165,170,173,177,181,185,181,212,208,166,119,55,119,209,174,106,70,79,67,162,197,188,188,187,186,185,185,185,167,172,175,179,182,187,184,218,193,145,111,113,110,192,210,150,104,74,67,176,197,191,189,188,188,186,185,185,167,173,177,180,184,187,186,224,207,154,135,146,151,223,205,164,133,75,68,190,196,193,192,191,190,187,186,186,169,175,179,182,186,189,189,227,200,151,139,164,199,238,189,151,121,63,77,201,195,194,194,192,191,190,189,188,170,176,181,184,188,191,192,226,205,169,161,162,221,223,181,130,107,59,110,209,194,197,195,194,194,192,190,188,171,177,183,186,189,193,193,224,212,181,170,163,232,206,164,120,96,56,143,211,196,198,196,196,195,194,192,190,173,178,183,187,191,194,193,219,209,188,180,170,221,187,149,112,87,54,156,211,198,200,199,198,196,194,193,192,174,179,184,188,191,195,194,212,214,197,192,172,210,169,139,106,78,55,170,209,200,201,201,199,198,197,195,195,175,180,185,188,192,197,197,204,214,201,197,171,208,160,130,95,74,65,186,207,201,202,202,201,200,199,197,196,176,182,186,190,194,197,199,202,214,196,180,153,186,150,130,103,67,89,208,205,204,204,203,202,201,200,199,197,177,182,187,192,195,198,200,202,217,185,155,153,187,136,142,109,54,142,217,205,207,206,204,203,201,201,200,198,178,184,188,193,196,200,200,204,231,204,181,178,188,130,150,84,65,199,211,208,207,206,206,206,204,202,201,199,176,183,188,192,196,200,200,203,233,217,200,194,178,129,137,63,104,216,209,209,207,207,207,206,205,203,202,200
22,143,145,146,147,147,146,147,148,147,148,149,149,148,148,148,148,147,148,149,148,146,147,145,147,130,60,27,27,145,146,147,148,148,149,150,150,150,151,151,151,151,150,150,151,151,150,151,150,148,148,146,148,134,51,33,40,147,148,149,150,151,151,151,152,152,153,153,152,153,152,152,152,153,153,152,152,151,150,150,148,152,86,34,50,148,150,151,151,151,152,153,154,154,154,155,155,153,154,156,154,154,155,153,155,153,153,152,150,153,116,40,43,149,152,153,153,153,155,156,156,156,156,156,156,161,139,144,159,155,159,148,131,157,154,154,152,152,152,57,34,151,153,154,154,156,156,157,157,158,158,157,155,172,131,122,166,156,163,154,98,156,156,156,154,152,136,73,17,152,154,156,157,157,158,157,158,159,159,159,158,172,130,114,168,158,161,143,95,154,158,158,155,164,105,91,67,153,155,157,158,158,158,160,160,160,161,161,159,177,145,108,166,160,161,147,99,151,161,158,161,157,95,118,125,155,157,158,159,160,159,161,161,162,163,162,159,178,165,106,163,162,163,153,106,153,162,158,167,142,100,119,144,156,157,159,161,162,161,162,163,163,163,163,161,173,182,108,159,165,161,147,109,157,164,161,177,136,105,149,143,157,158,160,160,161,162,163,163,163,163,164,162,170,191,111,143,169,159,147,107,156,165,165,176,121,117,166,123,158,159,160,162,163,163,163,162,163,164,164,163,168,195,140,118,170,162,157,112,154,165,172,164,102,129,169,135,158,159,161,162,163,164,164,164,165,166,166,165,166,190,162,104,159,159,155,114,156,169,175,152,93,146,166,156,160,161,163,163,164,164,165,166,166,166,166,168,164,180,157,121,126,119,152,129,163,176,172,132,102,165,163,162,160,161,162,163,164,164,164,166,167,167,167,168,170,189,165,148,143,79,115,142,155,154,155,109,128,171,162,162,159,159,160,163,163,163,164,165,165,166,168,165,181,174,180,147,154,122,96,100,119,123,120,94,159,167,164,163,159,159,162,163,163,164,165,165,164,166,166,167,181,145,166,145,126,157,144,95,79,106,94,99,170,163,163,162,159,160,162,163,164,164,165,165,166,168,166,175,184,160,150,146,82,136,153,131,88,78,80,107,171,162,163,162,158,160,162,162,163,164,165,165,166,168,166,180,178,145,117,145,83,70,136,152,132,84,64,120,173,163,163,162,163,165,167,167,166,167,168,167,169,171,166,177,180,141,118,122,99,58,112,170,161,127,69,135,172,163,163,162,137,141,143,147,149,152,155,157,160,163,162,172,188,151,123,100,111,119,158,161,173,149,100,108,177,172,171,169,80,80,82,84,84,85,87,88,90,95,88,142,194,171,121,106,131,169,183,171,166,147,118,89,131,129,130,137,84,84,84,85,83,83,83,83,83,86,74,134,197,186,123,112,127,175,184,178,159,136,101,76,80,98,124,148,85,83,83,84,86,86,86,86,87,88,82,133,190,187,125,125,123,176,188,177,155,132,84,110,166,170,176,180,83,83,83,83,84,84,85,86,87,89,81,115,188,186,137,140,119,171,193,167,147,121,77,133,175,164,164,174,82,83,83,83,83,84,84,86,86,87,84,94,179,184,152,141,123,159,183,151,132,103,77,128,147,161,162,164,81,82,83,83,84,83,83,86,86,85,86,83,160,183,157,133,118,139,170,135,109,85,82,146,116,127,149,161,82,83,83,83,87,84,83,85,86,86,87,81,152,170,142,123,107,110,148,120,95,75,95,160,113,114,141,158
24,176,179,180,180,181,182,183,183,183,183,184,185,184,185,185,184,184,184,184,183,183,182,181,180,120,46,33,25,180,181,182,183,184,185,185,186,186,186,187,187,186,186,186,187,186,187,186,186,186,185,183,184,113,34,41,42,182,182,185,185,186,188,188,188,188,189,190,189,189,189,189,189,189,189,189,189,188,187,185,191,138,43,50,58,182,185,186,187,188,189,190,190,191,192,191,192,192,192,192,193,193,193,192,192,190,189,187,189,181,65,49,51,185,186,187,190,190,191,193,192,193,194,193,194,194,194,194,195,195,194,193,193,192,192,191,187,194,119,42,40,187,189,189,191,193,192,194,195,194,195,194,195,195,195,196,196,196,197,196,195,195,194,194,191,196,167,49,32,188,190,192,192,193,194,195,195,195,197,196,196,197,198,198,197,199,199,198,197,197,194,195,195,192,198,73,23,189,191,193,193,198,197,195,196,198,199,198,199,199,200,200,199,200,201,199,199,200,197,197,196,194,202,141,120,190,192,194,197,171,193,200,199,199,199,199,200,200,200,201,201,200,201,201,201,200,200,199,199,195,203,147,165,192,193,195,200,141,151,208,198,201,200,201,200,200,201,202,201,203,203,202,201,202,201,200,200,198,202,156,188,193,195,197,198,155,106,198,201,201,201,201,201,202,202,202,203,204,203,204,207,202,203,201,201,200,200,188,165,194,196,198,201,179,104,150,212,200,202,203,203,204,206,205,204,208,212,190,184,207,203,202,202,202,201,206,161,195,197,199,201,192,149,105,194,208,202,205,206,202,194,204,209,176,207,193,124,168,212,203,203,200,192,173,161,196,199,200,200,202,183,120,125,208,205,203,207,210,165,172,216,139,136,207,133,130,214,204,202,203,178,129,109,196,199,200,200,202,194,165,130,152,210,203,208,224,195,158,182,165,120,203,151,134,213,204,206,209,150,104,122,194,197,199,198,200,200,184,159,136,168,206,206,221,224,171,139,193,128,181,165,140,215,197,215,188,105,153,209,195,197,199,200,200,202,196,175,161,176,181,191,184,225,191,125,167,148,169,183,124,172,182,208,144,119,208,199,195,197,200,201,201,202,204,199,200,197,170,160,148,185,203,137,116,156,165,195,113,117,188,178,116,180,207,199,194,197,199,199,200,201,203,205,217,186,160,141,118,128,194,149,92,169,156,208,134,144,185,137,133,211,201,202,201,204,207,207,208,208,210,209,215,214,187,144,125,135,161,167,101,166,167,135,156,176,169,106,159,212,201,202,148,153,155,159,164,168,172,175,178,219,221,197,142,126,152,170,128,135,188,132,213,174,147,115,206,215,209,205,94,95,95,98,98,96,99,100,90,198,232,223,200,136,140,183,173,155,190,207,196,149,134,109,138,134,145,169,105,103,105,106,104,104,105,108,93,157,237,211,221,175,139,151,218,232,235,216,171,139,117,104,128,161,185,206,105,102,102,102,103,105,104,106,103,114,212,209,222,203,160,140,172,229,223,191,162,123,112,200,219,214,211,215,102,102,102,101,102,104,104,105,108,99,151,223,227,212,172,149,151,208,206,176,154,104,140,195,188,205,202,202,101,102,104,101,102,103,103,104,106,105,103,205,210,188,154,137,145,175,183,157,124,100,188,186,160,177,192,193,100,100,102,102,103,104,102,103,104,107,94,171,203,160,154,148,148,163,169,144,104,113,181,200,150,138,168,189,101,101,101,101,103,106,101,101,103,106,96,148,210,182,182,169,159,164,167,134,94,121,175,195,162,127,161,178
11,195,198,201,203,206,207,209,210,211,211,210,210,211,209,209,207,207,205,204,204,201,201,200,198,197,196,195,192,198,201,203,206,208,209,211,212,212,213,212,211,212,211,211,209,209,208,206,205,203,203,202,201,199,197,196,195,200,203,205,208,210,211,213,213,214,215,214,213,213,212,211,210,211,210,208,206,206,205,203,202,201,200,197,196,201,204,207,209,212,213,215,215,215,217,216,216,216,214,213,213,207,209,212,209,207,207,206,203,203,202,200,197,203,206,209,210,212,215,217,217,216,217,217,217,217,217,214,220,205,155,209,210,208,208,208,205,206,204,201,199,204,208,210,211,215,216,218,218,217,218,218,218,218,218,215,226,213,131,186,218,210,211,210,209,208,205,203,202,206,209,213,214,216,217,219,220,219,220,220,220,220,218,216,226,207,138,179,222,210,211,211,210,208,206,205,204,208,210,214,216,217,219,222,222,223,222,222,221,222,221,216,232,218,147,179,224,213,211,211,210,210,207,206,204,209,211,214,217,218,221,224,224,224,224,223,222,222,224,217,239,227,154,169,225,214,213,212,212,211,208,207,206,211,214,216,218,221,222,224,225,224,224,224,223,223,223,219,240,212,143,168,226,214,215,214,214,212,210,207,206,212,215,217,220,222,224,225,225,225,225,225,224,226,229,225,240,205,137,173,227,215,217,216,215,214,211,209,207,214,216,219,223,224,225,225,226,226,228,231,231,216,183,206,246,203,143,182,228,217,218,218,216,215,213,211,209,216,217,221,224,225,226,227,232,235,222,192,208,205,152,140,219,179,132,193,228,219,219,218,218,216,214,211,210,217,219,221,224,227,228,228,197,205,216,160,118,188,174,116,124,131,116,213,227,222,220,218,218,217,215,212,211,218,221,223,225,227,232,232,184,129,203,175,114,188,172,114,103,108,135,231,223,223,222,222,221,220,220,215,211,218,222,225,228,227,244,238,210,127,182,184,115,177,155,112,105,105,145,235,223,225,222,217,212,203,200,214,217,221,223,225,228,236,255,242,206,130,144,166,107,160,150,108,96,93,140,237,224,224,218,208,200,177,162,160,193,222,225,227,227,247,239,221,204,136,112,152,109,181,162,118,89,98,146,238,218,228,227,192,162,136,130,113,131,224,225,230,228,250,253,225,194,119,130,169,112,217,205,133,97,116,141,213,222,222,177,117,106,147,173,166,181,224,226,231,230,255,255,229,175,138,157,229,140,209,204,113,111,152,163,201,214,178,112,117,203,232,228,226,222,224,227,231,230,255,252,214,190,183,145,252,158,116,167,143,166,168,161,179,162,111,130,224,231,223,221,218,217,224,228,230,230,254,249,226,206,174,160,201,149,160,207,201,180,159,143,143,107,121,230,230,224,225,222,220,218,225,229,232,231,248,249,235,212,196,212,220,226,206,192,183,167,155,130,105,113,218,235,227,228,226,224,222,220,226,230,233,233,242,245,230,209,184,184,202,208,193,189,168,159,147,98,129,221,237,230,230,229,228,224,223,222,225,230,230,237,242,238,224,187,164,182,196,189,184,170,160,149,104,144,237,239,231,231,230,230,228,225,223,222,224,233,136,106,219,225,207,180,183,192,189,180,168,151,125,106,165,242,236,233,232,230,230,229,227,224,222,220,235,182,89,80,132,206,218,214,205,182,180,161,135,98,130,218,245,236,235,235,233,231,230,229,228,225,223,220,226,120,90,100,88,120,185,197,186,170,159,140,106,104,235,248,236,237,236,235,233,232,231,229,227,225,223,222
1,89,94,97,100,106,112,115,115,117,118,121,123,124,127,127,127,128,128,135,131,132,133,132,132,130,130,131,132,94,98,102,106,110,115,118,122,122,123,126,126,128,126,132,132,142,136,104,137,136,134,134,132,132,132,133,134,100,105,107,110,115,119,124,126,128,130,132,132,132,149,110,119,166,142,52,137,142,141,137,137,136,136,135,136,105,110,113,116,121,124,128,132,134,135,137,135,142,177,78,100,172,121,55,139,117,129,145,141,142,141,140,141,109,114,117,122,127,130,133,137,139,140,141,140,157,171,67,112,173,104,61,154,108,76,154,145,146,145,143,142,114,118,124,128,132,135,140,143,144,144,154,128,141,163,66,121,175,93,72,170,111,62,156,149,149,149,148,146,119,124,128,132,137,142,146,150,151,150,179,110,97,140,75,130,182,103,90,176,102,62,159,155,154,153,152,151,124,130,132,137,143,147,152,155,156,159,187,90,96,125,87,129,169,96,95,183,103,64,164,160,158,158,157,155,129,134,137,142,149,151,156,159,161,166,173,76,102,105,74,104,161,85,108,189,109,72,171,165,164,162,161,159,133,137,142,146,153,156,158,166,166,170,181,89,105,113,75,105,180,91,129,181,103,80,178,171,169,166,165,164,136,140,146,150,157,160,163,170,168,176,179,86,93,133,90,106,181,90,143,187,103,88,183,173,174,173,171,170,140,145,150,155,161,164,168,172,171,184,191,106,82,120,71,95,151,71,160,189,108,101,189,175,177,178,176,175,144,149,153,158,165,168,171,176,175,186,203,112,66,99,71,102,125,98,169,169,97,116,193,179,182,181,178,177,148,153,156,161,169,172,174,180,178,188,198,118,105,151,136,149,155,139,123,155,89,128,196,182,186,184,183,182,149,154,159,165,170,174,179,184,181,197,211,156,118,116,169,188,199,151,75,112,73,138,198,188,188,188,186,184,152,156,162,167,172,176,181,187,183,209,196,134,99,58,91,128,153,180,125,48,43,161,200,190,191,191,189,186,155,159,165,171,176,178,184,189,186,215,189,130,84,70,76,93,150,210,177,81,34,183,200,195,193,192,192,191,157,162,168,174,178,182,186,191,190,221,198,129,93,97,103,148,172,201,207,126,48,180,205,198,197,195,194,196,160,165,170,175,180,186,190,192,194,222,192,127,92,106,113,189,204,181,180,132,55,153,213,199,200,198,197,197,163,169,173,178,184,187,191,193,197,221,191,138,102,120,138,217,214,178,134,96,45,152,215,201,201,200,200,198,164,169,175,181,186,189,193,196,198,217,195,142,121,113,157,227,208,158,117,69,41,175,214,203,205,204,203,201,166,173,177,181,188,191,195,198,200,211,190,143,129,110,157,222,188,140,102,53,78,213,207,208,208,204,205,206,168,173,178,183,187,190,197,202,202,204,189,153,144,117,145,207,167,123,83,39,133,224,206,209,209,208,207,207,171,174,181,185,189,194,197,201,202,200,185,158,153,122,141,198,152,110,67,44,181,218,210,211,211,210,209,209,173,176,182,186,191,195,199,202,205,206,193,161,153,112,131,179,136,98,52,70,216,213,214,213,213,213,213,212,171,176,183,189,193,195,199,205,202,208,200,163,143,95,120,143,104,84,40,124,228,215,217,215,214,214,214,212,170,175,182,187,192,194,197,204,196,213,203,186,142,101,123,124,95,65,62,200,219,217,217,215,216,215,214,213,171,176,181,186,192,198,200,199,196,214,204,189,151,116,124,110,87,43,144,225,214,217,217,215,216,215,214,213
12,185,185,187,189,189,192,192,192,191,191,191,191,191,190,190,189,189,188,187,187,187,186,185,185,183,182,182,181,186,186,187,189,191,192,193,193,193,194,193,193,192,191,191,191,191,189,189,188,187,187,186,185,184,183,184,183,187,187,188,191,193,193,193,194,194,195,194,195,193,191,180,168,177,188,182,181,189,189,187,185,185,185,185,185,188,188,190,192,193,194,194,195,195,195,195,195,194,186,158,124,106,167,152,123,127,178,190,188,186,186,186,186,188,189,192,193,194,194,195,196,196,196,193,191,193,170,140,109,99,153,134,107,67,132,174,178,187,187,187,186,189,191,192,194,195,195,196,197,196,196,184,155,176,171,150,94,129,168,137,107,94,140,131,102,140,186,187,186,191,192,192,195,197,197,197,197,198,202,185,143,161,194,153,91,163,183,138,113,125,133,115,82,70,142,190,188,192,193,193,195,197,198,198,197,206,212,189,148,142,179,129,85,177,179,124,117,163,148,117,83,63,88,186,189,193,194,194,196,197,199,199,198,211,202,182,140,100,100,93,66,123,136,89,131,189,152,126,78,52,76,182,190,194,195,196,196,199,200,199,205,218,197,161,124,91,43,42,85,129,144,127,164,191,143,101,59,49,80,185,189,194,195,196,198,199,199,204,213,199,183,142,114,86,45,100,174,185,177,165,176,146,103,79,72,57,86,190,192,195,196,198,199,200,200,214,215,186,156,141,147,96,125,189,194,183,174,159,166,160,115,108,99,72,114,193,192,196,197,199,200,201,203,224,213,189,166,143,159,154,202,204,188,179,180,162,163,157,122,96,90,68,156,195,192,196,199,200,201,202,207,225,217,202,192,169,170,188,200,202,185,185,174,156,161,142,106,79,68,69,181,194,193,197,199,201,202,202,209,225,221,208,196,182,175,185,189,192,184,181,168,159,153,124,89,69,54,90,194,194,193,198,200,202,203,203,209,224,222,207,189,175,173,177,184,189,182,177,163,154,131,100,74,62,46,120,199,195,194,198,199,201,202,203,208,221,218,197,177,171,176,178,189,192,180,168,154,133,103,79,65,55,45,150,201,197,195,198,200,202,203,204,207,210,204,193,188,184,180,180,196,186,169,150,138,115,88,72,59,46,75,186,200,198,195,199,201,202,204,205,211,219,218,212,204,191,177,177,193,175,151,131,120,97,79,66,48,64,162,200,199,198,198,200,201,203,205,206,218,224,221,212,199,186,175,173,184,162,135,117,101,83,68,53,80,163,200,199,199,199,199,200,202,203,204,207,224,224,218,207,189,178,174,176,170,148,124,103,85,65,67,123,184,203,202,201,200,201,200,200,202,203,202,211,224,219,210,200,186,172,172,174,160,138,111,83,61,77,160,200,203,202,202,201,201,200,199,201,202,203,200,216,215,207,197,193,182,166,168,163,142,123,101,68,67,162,203,203,203,201,201,201,200,199,197,160,189,201,205,214,200,192,185,182,174,171,166,155,129,106,85,63,135,200,203,203,203,202,201,201,200,199,198,78,86,137,209,204,185,176,173,174,178,170,157,146,118,94,70,80,184,206,205,204,203,202,201,201,200,199,199,76,67,73,155,180,168,159,164,173,176,157,144,134,107,83,57,119,204,207,206,205,203,202,202,201,200,201,200,71,71,71,67,79,90,89,97,113,127,125,123,116,94,70,57,162,208,206,206,206,204,203,202,201,200,201,199,69,68,70,57,19,32,38,37,36,39,45,60,75,73,51,82,187,207,206,206,206,205,203,201,200,200,200,199
15,159,132,134,114,69,158,46,0,58,56,58,62,67,70,84,99,115,127,132,135,144,152,156,161,164,168,172,175,159,133,143,106,81,162,30,1,61,57,60,63,67,70,85,102,118,129,133,139,147,154,160,163,168,171,174,178,160,138,151,95,99,162,14,14,63,57,62,66,69,70,87,105,120,132,137,142,149,157,163,166,171,175,178,181,158,142,155,88,116,155,3,27,64,58,62,66,68,73,90,107,123,135,138,144,152,161,166,171,175,178,181,184,157,143,157,77,136,143,0,34,61,56,62,67,74,76,95,114,129,139,142,146,157,165,169,174,178,182,186,188,153,155,151,95,134,127,65,87,88,95,106,108,105,82,83,98,116,135,144,151,160,168,181,184,181,186,190,193,148,170,135,110,112,109,112,97,88,96,92,87,79,88,87,84,88,95,106,118,118,111,126,163,195,194,192,197,154,148,105,100,99,95,87,80,81,84,83,80,81,97,101,97,94,92,90,105,114,98,84,69,114,185,208,201,158,157,121,84,91,77,81,75,82,87,87,85,91,104,104,101,94,87,94,108,108,105,98,80,59,69,148,209,159,166,128,89,176,55,20,69,67,71,74,78,90,102,105,98,88,90,104,107,99,103,96,87,82,68,54,95,163,172,113,105,191,31,2,69,59,62,64,67,69,88,109,140,118,103,103,104,105,103,98,91,90,93,77,54,167,179,102,123,182,15,19,69,61,62,65,69,71,85,121,176,154,122,109,102,92,98,92,95,94,109,89,70,169,181,93,140,174,2,28,71,61,62,65,68,72,85,165,156,130,84,78,91,66,69,92,96,105,121,97,82,169,178,88,156,161,0,38,69,60,62,66,71,64,123,175,128,113,73,29,44,24,32,130,118,124,115,94,91,171,175,82,170,144,0,48,69,60,63,67,66,82,184,150,111,91,66,22,14,0,38,155,143,134,101,84,92,173,168,82,185,129,0,56,69,62,62,67,57,125,201,150,103,81,36,11,16,0,69,158,159,147,105,78,85,179,164,84,195,109,0,63,67,62,63,67,60,100,187,168,122,86,27,4,13,17,79,150,171,154,110,79,75,188,156,91,207,92,0,69,66,61,63,66,69,67,165,192,155,100,44,0,48,62,65,141,163,135,104,80,61,195,149,100,218,77,0,73,65,61,61,65,69,69,123,210,178,117,55,14,22,87,131,147,129,98,92,74,51,201,136,113,220,59,0,75,64,59,59,62,64,75,97,196,192,160,141,132,133,150,129,108,85,72,76,70,55,204,125,129,218,39,4,74,60,59,58,61,62,75,93,158,203,164,147,143,152,147,97,66,68,63,65,72,76,206,113,146,210,23,14,73,59,58,57,60,63,73,104,184,151,118,115,124,153,145,82,57,59,53,68,72,65,204,105,165,199,11,25,74,58,57,56,61,65,66,140,188,125,116,119,116,141,139,90,57,71,170,100,37,32,199,99,182,186,0,23,63,47,46,47,52,57,61,138,167,118,102,100,97,122,122,94,46,170,253,111,38,37,194,96,192,172,63,85,100,85,79,74,71,72,83,114,140,131,145,142,89,67,116,87,62,161,254,119,46,40,186,100,197,177,139,101,115,115,112,109,111,115,112,109,111,123,131,182,147,65,124,122,96,146,184,105,55,44,179,103,203,175,121,83,102,99,100,101,104,103,105,104,101,106,99,133,182,107,93,112,110,106,111,85,52,51,170,110,208,170,121,94,105,106,107,107,107,108,110,112,114,115,114,111,135,125,114,117,118,119,125,89,36,15
15,7,42,50,64,74,81,90,99,110,115,119,123,127,130,133,136,138,141,142,145,147,149,150,150,153,155,156,158,9,44,50,65,74,83,90,100,111,114,120,125,128,132,134,136,140,142,144,146,148,150,150,151,154,156,158,159,13,46,55,67,76,84,90,102,113,115,120,125,129,131,135,138,141,142,144,147,149,150,151,155,155,158,159,160,18,48,55,69,78,81,90,104,114,115,120,125,129,132,136,140,141,141,145,148,148,150,154,155,156,158,159,160,25,50,57,68,76,103,100,101,113,119,122,126,128,133,137,139,141,142,145,148,149,153,154,156,158,158,159,161,30,50,60,68,83,149,115,97,91,105,122,129,130,133,137,140,142,144,146,148,150,153,154,156,158,159,160,163,36,50,60,71,81,122,122,110,98,86,93,113,129,138,138,140,142,145,148,148,151,155,156,158,158,158,159,162,40,50,61,73,79,88,105,104,103,96,99,97,97,110,136,144,142,145,147,149,151,154,156,158,158,158,161,163,42,51,62,71,80,88,95,104,92,97,106,111,105,94,88,116,141,148,149,148,150,154,157,159,159,160,163,165,45,53,64,73,81,90,97,110,109,108,107,107,108,104,93,89,94,123,149,153,152,154,157,158,159,161,164,166,47,55,66,74,82,89,97,108,115,119,122,108,93,97,108,109,97,87,96,126,151,159,156,158,159,162,164,166,47,55,67,75,83,90,100,112,115,119,125,127,116,106,89,90,97,92,89,96,95,127,160,158,161,163,165,167,48,56,67,76,83,90,102,113,114,121,137,103,89,110,105,75,66,81,103,108,109,84,110,163,159,164,165,166,48,57,69,77,84,90,101,113,113,130,136,107,78,75,103,103,94,104,106,115,122,103,68,120,172,163,166,167,50,57,70,77,85,92,104,114,113,125,113,98,98,102,111,91,101,107,95,109,117,107,97,75,154,167,165,168,51,59,70,78,86,92,103,112,115,120,125,102,113,135,124,96,71,72,58,101,125,107,120,84,97,173,164,167,51,61,71,77,85,92,103,112,116,115,150,119,103,132,120,101,96,86,68,82,90,101,110,98,62,143,171,165,52,61,70,77,86,91,102,113,112,130,143,100,69,76,107,117,115,111,98,82,78,77,86,94,74,89,174,166,51,62,70,77,86,92,104,114,111,141,118,75,65,23,30,82,126,128,120,111,104,79,65,77,80,57,145,174,52,63,72,78,86,93,106,110,118,148,97,57,53,35,21,10,61,131,134,128,119,88,65,72,76,58,93,178,53,64,72,80,87,94,108,106,129,134,70,56,90,75,56,29,0,89,139,129,118,95,81,76,74,70,59,148,54,63,71,79,88,96,106,116,135,94,50,109,121,93,90,76,17,41,141,129,120,110,102,89,78,75,62,89,55,65,73,80,89,95,106,122,98,63,82,142,131,101,101,97,77,53,129,136,131,123,116,102,86,77,73,64,57,66,73,81,87,95,109,112,98,100,125,125,123,112,92,93,92,83,108,135,134,130,120,107,96,85,79,74,57,66,73,80,87,97,107,111,119,126,127,131,124,104,79,75,71,97,102,116,131,127,119,110,100,89,84,78,57,65,73,81,86,98,108,111,116,122,126,130,137,138,129,117,99,98,112,88,109,117,114,110,102,93,83,81,57,66,72,78,85,97,108,111,116,123,126,130,135,138,144,146,145,146,132,111,103,118,112,109,106,98,86,82,57,65,70,77,84,95,106,109,115,122,126,130,135,139,141,142,147,158,159,148,134,132,116,103,102,104,98,90
16,208,209,210,211,211,210,212,213,214,213,212,213,214,214,214,212,213,214,216,217,214,214,216,215,215,216,215,212,209,210,211,212,213,212,213,215,214,214,213,215,216,213,218,220,220,218,214,217,216,216,217,217,216,216,216,214,210,211,212,214,214,212,213,215,215,217,217,218,214,214,193,187,183,201,227,220,217,217,217,216,215,216,216,215,210,211,211,214,214,214,214,215,214,213,205,198,216,230,183,159,150,122,151,211,225,218,217,216,217,218,216,216,210,211,212,214,214,217,217,216,218,211,187,191,233,232,203,184,166,131,87,97,163,219,222,215,218,217,217,216,211,212,214,215,217,215,210,196,238,231,196,211,238,223,207,196,168,114,110,89,79,115,205,226,215,218,218,218,214,214,214,215,214,228,210,202,228,224,204,215,238,207,195,185,159,98,110,98,91,81,100,203,227,218,220,218,214,215,215,216,213,240,226,204,221,218,216,208,224,191,187,173,143,96,97,89,91,94,79,93,214,223,220,220,213,213,216,215,214,223,221,201,217,226,223,212,220,196,185,165,124,92,86,82,87,92,93,69,127,234,221,221,211,213,215,217,224,213,220,219,210,225,225,216,233,211,188,153,111,85,74,78,88,91,86,85,77,208,227,221,212,214,212,225,224,210,221,234,217,218,224,218,232,216,185,140,102,78,58,78,91,94,96,85,71,188,229,217,213,214,213,218,221,220,214,228,215,218,229,226,226,213,173,123,94,52,52,79,92,99,107,90,78,209,223,219,215,215,216,215,220,231,223,230,236,187,232,235,222,216,170,109,66,15,50,72,83,106,102,89,88,216,221,221,217,216,216,215,220,230,236,202,209,200,219,235,226,217,161,98,37,8,40,59,77,119,96,83,100,221,223,222,216,215,217,216,217,216,241,191,163,217,215,224,232,215,154,89,38,10,21,46,90,129,94,78,124,229,222,223,213,214,216,216,217,206,208,239,217,195,212,227,239,209,150,82,52,38,22,51,124,133,97,77,130,230,222,224,218,219,221,222,222,221,195,210,224,206,212,230,241,204,144,80,66,72,56,76,156,156,114,72,126,230,223,223,165,171,175,179,182,189,183,182,213,190,185,213,240,201,133,79,76,81,63,96,177,185,149,76,130,234,220,224,99,102,101,101,104,106,106,109,147,120,105,190,241,200,122,78,84,88,76,110,176,195,178,109,101,190,238,254,109,109,107,105,105,106,104,103,102,109,87,180,244,204,111,113,100,91,85,118,170,194,197,157,124,225,250,255,106,109,108,107,107,109,109,109,110,114,94,162,246,206,106,175,133,110,97,98,154,183,196,177,132,215,248,255,106,106,106,109,108,108,108,108,110,113,100,133,237,204,113,203,162,129,120,93,108,169,177,161,93,178,249,221,106,106,105,108,108,109,108,109,111,114,104,119,252,197,124,228,188,153,138,117,84,108,150,119,125,197,189,218,105,106,105,106,108,108,107,108,109,111,107,114,255,153,160,243,205,173,156,132,100,80,94,75,186,235,157,191,104,107,105,107,107,106,107,110,110,110,109,111,146,150,233,237,213,185,167,144,110,87,89,65,192,255,211,170,105,107,106,108,106,104,107,110,109,109,108,110,90,184,246,237,222,192,174,154,119,87,91,69,187,255,236,218,105,106,107,108,107,104,105,107,108,107,108,110,99,170,235,233,226,200,177,158,128,92,88,68,166,255,230,204,104,104,106,111,107,104,105,107,107,107,108,111,99,167,232,232,224,199,178,161,135,99,90,72,153,255,242,183
1,43,60,67,75,86,103,115,124,130,134,137,139,142,147,150,153,150,152,157,159,160,162,162,163,164,164,165,165,47,61,68,76,88,105,117,125,131,135,139,141,144,148,152,158,139,130,153,158,161,163,164,164,165,165,165,165,52,62,70,78,90,107,118,126,132,136,140,143,147,150,153,162,128,110,136,143,160,164,165,166,166,166,166,166,56,63,71,80,92,109,119,127,133,138,141,144,149,153,145,157,127,115,129,121,156,166,167,167,168,168,167,167,58,65,72,81,94,111,121,129,134,139,143,145,152,156,134,150,126,123,134,114,151,167,168,169,169,169,169,169,60,66,73,82,96,113,123,130,136,140,144,146,158,152,129,151,127,126,138,113,147,169,170,170,171,171,171,170,62,67,74,83,99,115,124,131,137,141,146,147,158,146,124,148,125,127,141,115,147,170,172,172,172,173,172,172,64,68,75,85,101,116,126,133,138,143,153,142,147,138,125,150,124,126,139,113,146,172,173,174,174,174,174,174,64,69,76,86,103,117,126,134,139,147,155,128,140,131,136,155,122,130,146,114,145,173,175,175,175,175,176,175,65,70,77,88,105,118,127,135,140,154,152,119,139,127,144,152,117,139,154,117,146,174,176,176,177,177,178,177,66,70,78,90,107,119,128,135,142,161,144,117,143,124,136,135,107,141,149,115,149,176,178,178,179,179,179,179,67,72,80,92,108,120,129,136,146,166,134,113,137,116,127,125,111,147,143,112,152,177,179,179,180,180,180,180,68,73,81,93,110,121,130,137,153,168,127,108,134,133,133,138,144,155,138,110,155,179,180,181,181,181,181,181,69,74,82,95,112,122,131,138,162,168,131,121,146,158,143,145,149,146,127,107,156,180,181,182,182,182,182,182,70,75,83,97,113,124,131,141,171,172,154,148,159,163,159,153,142,131,113,103,156,180,182,183,183,184,184,183,70,75,84,98,114,125,132,148,177,164,149,144,140,141,166,170,158,136,110,101,156,181,183,184,185,185,185,185,72,77,85,99,115,125,134,160,178,150,130,122,112,122,163,171,161,143,115,100,155,182,183,185,185,186,186,186,72,78,86,101,117,126,135,169,176,147,134,133,134,157,177,171,152,131,105,89,144,183,185,186,186,187,187,187,72,78,87,103,118,127,137,173,181,156,140,142,164,193,188,166,141,112,91,79,126,181,187,187,188,188,188,188,73,78,87,104,118,127,138,173,189,167,148,147,172,202,190,162,134,103,81,75,118,180,187,188,189,189,189,189,74,79,88,104,118,127,138,169,189,170,154,149,169,195,184,157,126,99,78,77,132,184,188,189,190,190,190,190,75,81,90,106,119,129,138,164,186,171,159,152,163,185,174,148,118,95,78,92,159,188,190,190,191,191,192,192,75,81,91,107,120,129,138,157,181,174,166,159,167,178,159,133,109,89,79,120,179,191,191,192,192,193,193,193,75,81,91,108,120,129,138,150,171,172,166,158,163,165,145,121,102,85,85,147,187,192,192,193,194,194,194,194,75,81,92,109,121,131,138,146,163,168,162,152,147,147,135,116,100,83,94,163,190,192,193,194,195,195,195,195,74,80,90,107,119,129,137,143,156,165,161,152,144,142,136,121,100,81,106,173,190,191,193,194,195,195,194,194,73,79,90,107,117,128,137,144,159,169,166,158,150,141,135,121,97,80,119,180,189,190,192,193,194,194,194,194,73,78,90,106,117,128,136,147,172,172,166,164,153,139,125,112,92,76,122,182,189,190,192,194,194,194,195,195
6,154,154,154,155,157,157,158,159,159,159,159,158,158,158,158,157,158,158,159,158,159,158,157,157,156,154,155,156,159,159,159,159,160,160,159,160,160,160,160,160,160,160,161,160,161,161,160,160,161,160,159,158,158,157,158,157,161,161,161,162,162,163,162,163,163,164,164,164,164,164,163,164,164,164,163,163,163,163,161,160,161,161,161,154,163,164,164,165,165,165,165,164,165,167,166,166,165,166,166,167,167,165,165,165,165,165,163,163,165,163,165,144,166,166,166,166,167,167,167,167,168,169,168,168,172,169,167,168,168,168,169,169,168,166,170,167,166,165,166,159,169,168,170,169,169,170,170,170,171,171,174,160,149,172,172,172,170,170,166,168,160,169,201,165,163,169,167,164,171,172,172,172,172,173,174,174,174,171,186,149,91,154,165,162,171,171,159,164,165,155,173,140,164,171,169,169,173,173,175,175,174,175,177,177,177,179,189,150,152,169,163,157,170,166,157,143,135,119,117,151,173,171,172,170,175,176,177,177,178,178,181,180,177,177,180,184,189,176,155,148,127,117,108,104,115,143,172,178,174,174,173,172,178,179,179,180,179,180,175,171,173,177,182,181,164,144,127,106,105,120,141,167,180,183,180,176,176,175,174,173,180,180,181,181,183,181,169,166,166,167,156,130,106,94,105,152,177,182,186,183,180,180,180,179,177,177,177,175,182,182,182,181,189,188,184,183,151,123,124,113,94,105,164,186,189,187,182,184,183,182,183,181,180,179,178,178,184,184,184,183,193,195,203,173,123,115,116,128,135,135,126,126,143,169,189,185,185,184,185,184,183,181,181,179,186,186,185,188,199,199,207,160,134,145,123,117,130,138,129,125,120,100,169,192,186,186,187,186,184,183,182,182,186,187,186,196,206,204,204,196,197,181,133,109,119,126,117,112,117,88,153,199,188,188,188,187,185,184,184,183,188,189,189,201,208,203,204,206,208,188,138,105,117,125,127,118,110,93,148,199,189,189,189,190,187,187,186,185,190,190,192,200,205,204,203,203,199,193,172,141,114,102,120,125,121,105,101,194,191,190,190,190,190,190,189,188,191,191,190,204,202,206,202,203,201,203,205,177,124,98,114,120,115,98,113,199,192,192,191,191,192,191,190,190,192,190,191,204,207,208,206,206,202,203,207,171,126,110,110,113,109,96,105,187,197,194,193,193,193,192,191,191,195,189,198,205,207,210,213,206,200,204,192,152,121,115,111,111,108,106,81,164,204,194,194,193,193,192,192,193,196,183,198,206,207,211,208,197,197,191,167,139,124,117,101,108,109,101,108,192,199,196,196,195,195,194,194,194,193,181,200,206,207,209,195,190,190,173,151,132,135,139,103,88,89,95,182,202,196,198,198,197,196,196,194,194,185,188,207,203,202,196,185,183,183,169,150,144,140,143,84,66,93,173,206,198,199,199,198,197,197,196,196,195,180,194,204,200,195,189,181,179,175,167,158,149,128,105,135,161,195,207,202,201,199,199,199,198,198,198,197,196,178,197,202,191,187,181,184,184,170,159,155,133,98,132,216,207,204,203,203,202,202,201,201,200,200,198,198,197,185,196,195,188,185,173,178,178,163,153,139,116,93,187,207,203,203,202,202,203,203,202,201,201,201,200,199,198,188,193,187,185,179,167,169,163,154,140,121,96,139,212,204,205,205,204,203,204,203,203,203,202,202,202,200,199,189,190,191,186,174,166,161,154,136,118,101,104,197,207,203,205,205,205,204,205,204,204,204,203,202,203,202,201
21,154,156,158,160,163,164,165,166,167,167,167,167,166,166,165,164,162,161,161,161,158,157,156,155,153,152,150,149,155,157,160,162,164,166,167,168,169,169,170,169,169,168,168,165,168,164,162,162,161,159,157,157,156,155,152,150,156,159,162,163,165,167,170,170,171,171,171,171,171,170,169,166,145,163,166,164,163,161,159,159,158,156,156,152,157,160,163,163,166,169,172,172,173,172,172,172,172,171,172,180,95,135,173,165,166,163,160,160,159,158,158,156,158,162,165,165,168,170,173,173,174,174,174,173,174,171,178,170,91,143,174,165,166,168,164,163,162,160,159,159,159,163,166,167,169,172,173,174,175,175,175,176,177,170,187,162,94,158,174,168,167,151,160,167,164,163,160,159,161,163,166,169,171,172,174,176,177,177,179,177,177,173,194,157,100,168,173,171,155,101,122,174,163,164,162,161,163,166,169,171,173,174,177,178,179,179,179,179,178,179,197,147,106,175,174,167,146,94,136,173,164,165,164,163,163,166,170,172,174,177,178,179,180,180,181,180,177,183,191,136,104,178,174,162,136,95,165,170,167,167,165,163,164,168,171,173,176,178,179,179,181,181,180,183,182,191,185,119,109,183,168,160,120,119,178,168,169,167,166,165,166,169,172,174,177,179,181,180,182,183,182,149,147,207,181,104,134,182,153,150,96,150,178,171,171,169,168,166,166,170,173,174,177,179,181,183,185,183,190,151,97,135,136,87,153,173,157,122,102,178,174,174,172,170,169,168,167,171,174,176,179,180,181,185,184,189,190,186,153,113,81,81,164,163,153,94,143,184,175,174,173,172,170,168,168,172,175,178,179,182,183,184,189,201,189,206,192,131,82,83,115,127,116,99,177,178,178,177,175,173,172,169,170,173,177,179,181,183,185,186,200,155,176,176,176,126,86,80,85,95,81,139,187,178,178,177,177,174,172,170,171,173,178,180,183,185,183,196,191,134,147,113,165,148,98,78,77,81,93,179,183,179,178,178,178,177,173,171,171,175,179,181,184,187,185,202,186,147,108,69,147,168,112,82,76,72,131,193,181,182,181,180,179,178,176,173,172,177,181,183,186,186,190,204,158,125,113,83,155,180,129,97,80,72,161,191,183,182,182,181,179,177,176,174,174,179,181,184,186,185,199,203,162,152,121,143,212,173,146,115,84,73,166,192,185,185,183,181,180,180,178,175,174,178,180,184,188,185,205,205,178,138,132,210,200,156,141,116,90,86,172,192,188,186,183,183,182,181,179,177,175,178,181,185,188,187,212,220,171,137,172,226,181,147,124,115,93,97,184,190,187,187,186,186,184,181,179,178,176,180,182,185,188,187,218,202,162,155,184,220,180,157,115,102,91,115,195,188,187,188,186,185,184,181,180,179,177,180,184,186,189,189,211,186,188,155,189,213,171,150,119,96,87,141,199,190,190,188,187,186,184,184,181,180,174,178,181,184,188,190,198,204,204,154,202,194,157,131,110,100,90,167,197,190,189,188,188,187,185,183,181,179,173,177,181,184,188,189,195,206,192,148,183,177,141,114,101,93,102,185,193,189,188,186,186,185,184,181,180,178,174,178,181,185,189,190,197,193,172,150,164,167,138,118,104,86,123,197,191,191,189,188,188,186,184,182,181,179,174,178,182,186,189,192,196,188,170,170,170,165,160,119,100,80,143,199,191,192,189,188,188,187,186,183,181,179,174,178,181,185,188,191,193,193,196,194,176,157,158,118,92,79,161,199,192,192,189,189,188,187,185,184,182,180
8,105,112,118,123,127,131,134,136,138,141,142,143,147,149,151,152,155,156,157,158,158,159,161,163,162,163,163,163,106,113,118,124,128,132,136,137,139,145,133,136,148,150,152,154,156,157,158,159,159,161,163,164,163,164,163,163,108,115,120,125,130,134,138,138,145,162,121,106,149,151,152,155,157,158,159,160,163,164,163,164,164,164,164,164,109,116,122,128,130,135,138,138,156,151,105,101,151,152,153,156,158,158,160,162,164,163,164,165,165,165,165,166,111,116,123,129,132,136,138,138,171,134,89,118,152,153,155,157,160,161,162,163,165,163,146,161,166,166,167,167,114,117,124,130,133,137,139,142,174,121,83,134,153,156,157,158,161,163,165,165,172,159,99,135,168,168,168,168,115,118,125,129,132,138,141,154,170,124,85,147,154,156,158,159,163,163,165,164,181,152,85,129,170,170,171,170,115,120,126,131,136,140,141,164,161,121,90,151,152,156,159,151,144,158,164,153,182,154,101,121,171,171,171,171,116,122,128,132,136,139,139,176,155,113,104,147,130,134,163,147,119,115,155,139,178,162,129,101,164,172,174,174,117,124,131,133,136,140,140,187,160,124,162,154,133,117,160,146,112,107,144,130,156,172,137,99,127,174,173,175,118,124,130,133,138,142,144,193,163,142,195,163,129,117,155,134,97,106,133,113,161,179,141,100,108,177,176,177,118,125,130,135,139,142,149,186,155,130,195,171,119,125,152,121,84,103,124,102,180,177,140,96,119,178,177,178,120,126,131,134,138,142,153,181,162,143,180,160,106,137,148,111,83,83,116,102,182,168,130,89,126,178,179,179,120,127,133,135,140,142,164,181,176,167,181,159,122,140,159,124,80,87,119,130,173,151,116,84,139,180,180,180,121,126,132,136,139,142,182,172,168,154,170,168,135,149,173,133,85,107,139,162,166,139,106,81,152,180,180,181,120,127,133,138,140,149,181,150,143,136,144,146,118,145,142,114,133,162,165,147,148,134,104,78,156,181,181,181,121,127,133,137,141,166,178,153,137,124,108,104,100,110,138,169,178,168,160,134,123,120,100,75,161,182,181,183,122,129,133,138,139,190,178,159,140,118,105,102,113,158,200,201,179,162,147,120,103,101,90,82,179,183,183,184,122,130,134,139,149,201,182,163,141,121,107,96,144,200,206,199,176,151,131,107,93,91,78,118,183,184,184,185,123,131,135,138,167,203,179,162,144,130,119,125,187,201,200,187,163,138,118,98,84,84,72,163,185,185,185,186,124,130,137,136,183,204,179,162,151,143,139,171,195,195,189,175,150,126,109,90,81,78,76,176,187,185,186,188,125,131,137,137,196,202,181,169,163,157,173,192,199,185,170,159,138,116,100,84,79,75,95,184,187,186,187,188,126,132,137,138,203,204,184,170,161,163,188,198,194,171,157,147,127,108,92,81,76,73,141,186,188,189,189,188,127,133,138,139,196,206,190,174,162,165,186,192,177,159,146,136,117,99,85,77,74,110,179,186,187,188,189,189,125,132,138,140,189,206,191,178,164,162,175,178,169,157,138,131,111,92,80,75,98,173,185,187,187,189,189,190,126,133,138,142,176,196,179,171,161,161,167,174,171,158,140,128,109,87,72,81,161,186,187,187,188,189,190,190,126,133,139,142,167,182,177,169,170,169,158,164,164,150,133,120,100,76,65,138,182,186,187,188,188,189,190,191,127,134,139,143,164,187,186,177,179,172,155,156,160,146,126,112,90,64,95,175,184,187,188,189,190,190,190,191
19,162,163,165,165,164,164,164,164,163,163,163,163,163,162,161,162,160,160,159,159,158,157,157,156,155,154,154,153,164,164,165,164,165,165,165,165,164,164,164,163,163,162,162,161,162,161,159,159,158,158,157,156,156,156,154,153,165,165,164,166,167,167,166,168,168,164,165,165,165,163,163,162,162,162,161,160,159,159,158,158,157,155,154,154,165,166,167,167,167,168,161,149,155,170,164,166,166,163,164,163,163,162,162,160,160,160,159,158,157,156,155,154,166,167,167,169,164,181,175,151,121,149,171,166,167,164,165,164,163,163,162,161,161,161,159,158,157,157,156,155,167,168,168,169,166,173,195,172,139,103,160,169,166,166,164,164,164,164,163,162,161,161,160,159,158,158,157,155,169,169,169,170,169,168,192,181,151,99,119,176,167,166,165,165,165,164,163,162,162,161,161,160,159,158,157,156,170,170,170,170,170,165,186,179,144,106,95,168,168,167,167,165,165,165,162,162,162,162,162,161,160,158,157,156,171,170,171,172,169,185,183,164,143,107,91,164,172,171,169,167,166,167,164,163,164,163,162,162,161,160,158,157,171,172,173,168,192,205,181,160,161,153,138,155,157,162,169,170,168,167,166,164,163,163,162,162,161,161,158,158,173,174,170,180,200,173,146,140,156,179,184,172,159,149,143,153,164,168,168,165,164,164,163,163,162,161,159,158,173,174,172,202,196,176,138,108,118,156,181,187,184,178,157,148,143,152,158,165,167,166,164,164,162,161,160,159,175,171,192,207,190,176,161,137,116,125,146,161,172,178,176,175,171,169,150,139,149,161,168,164,162,162,161,159,175,175,200,190,169,159,154,155,159,148,138,134,133,141,154,165,176,185,178,155,140,124,142,163,165,162,161,159,172,190,208,186,154,137,138,129,159,172,162,151,134,110,111,140,143,156,163,164,157,139,130,145,155,164,161,161,176,209,212,185,163,151,147,145,141,156,171,167,152,126,112,144,170,159,151,145,144,147,152,145,132,167,162,161,189,211,200,179,164,163,165,167,162,130,125,152,152,141,132,114,169,175,173,169,161,152,145,142,155,166,162,162,202,206,189,166,148,157,180,175,178,140,110,131,120,133,136,124,170,173,172,172,172,172,167,167,167,163,164,162,203,206,187,155,137,118,149,174,188,163,146,130,121,111,112,156,175,172,173,171,169,169,168,168,165,164,163,162,210,211,178,157,148,144,136,139,130,169,173,141,136,115,151,178,173,173,173,172,171,169,168,167,167,165,163,162,212,200,175,161,156,155,154,144,131,148,156,152,124,138,180,174,173,174,174,172,171,169,169,168,168,167,165,163,204,194,180,167,164,161,153,141,132,131,124,115,145,175,177,175,175,174,174,173,171,170,170,169,168,167,165,163,202,187,173,163,158,163,156,144,132,136,122,141,181,178,177,175,176,174,173,173,172,171,171,170,169,168,166,163,197,185,170,145,129,130,135,136,133,130,138,178,179,178,177,176,174,174,173,173,172,171,170,169,168,167,166,165,186,172,150,123,108,95,134,153,145,161,180,182,182,181,181,180,177,177,177,177,177,174,170,168,170,173,173,166,170,147,124,116,107,100,157,169,165,165,162,162,161,160,160,159,160,159,160,155,151,159,172,178,177,167,162,156,143,127,117,114,110,108,108,106,103,102,102,103,102,101,100,101,102,100,95,112,145,171,173,165,160,166,168,141,124,117,113,111,113,111,108,108,105,104,105,104,103,102,101,102,101,98,138,181,176,167,158,162,150,167,188,147
13,160,163,170,178,185,189,194,196,200,203,208,210,213,217,218,220,222,223,222,223,224,226,225,224,225,224,223,223,161,166,173,180,188,192,197,199,201,204,210,213,216,220,221,219,220,224,230,227,227,226,226,227,228,226,226,226,163,168,175,184,189,195,198,202,205,207,213,216,218,219,226,240,241,193,176,229,227,235,228,231,231,229,228,227,166,170,178,186,192,197,201,206,209,211,216,218,222,225,230,255,254,185,115,123,164,183,233,231,231,230,231,230,167,173,179,186,193,198,202,206,211,216,215,221,227,181,178,201,249,182,112,87,168,118,148,244,230,232,232,231,169,174,181,187,195,199,202,209,211,215,215,255,248,197,148,146,229,228,138,102,180,116,115,244,232,234,233,232,171,176,183,190,197,202,206,208,215,219,160,212,255,242,188,96,155,255,151,98,190,120,137,249,234,236,234,234,171,177,184,192,199,204,208,205,252,238,170,104,223,255,211,124,67,184,147,96,227,132,169,251,235,238,238,237,173,179,187,195,201,207,204,243,255,255,217,125,118,255,202,133,44,67,84,88,213,127,218,246,238,239,239,239,173,180,190,197,202,204,226,244,196,252,234,154,69,225,190,119,48,44,89,138,161,105,172,254,239,241,242,241,175,183,194,200,204,208,255,244,181,217,205,139,63,181,191,131,45,77,165,179,150,133,112,234,247,243,244,241,179,186,197,204,204,224,255,218,169,198,173,116,43,150,222,149,65,189,219,185,131,113,111,167,255,241,243,243,181,189,201,208,206,246,250,213,159,165,161,115,32,101,224,122,140,245,210,177,135,113,100,142,255,244,246,246,182,192,204,210,207,254,255,232,188,131,147,102,42,93,217,186,233,228,197,160,128,106,76,191,255,245,250,249,185,196,208,216,211,255,255,236,199,138,114,112,150,216,253,255,246,213,178,145,123,88,98,249,250,249,251,251,191,202,211,220,218,255,255,246,198,174,175,180,205,239,252,246,234,199,165,138,112,69,158,255,247,252,252,251,194,206,215,222,225,255,255,255,210,202,198,174,225,229,252,241,217,186,158,129,101,62,207,255,251,254,253,252,198,210,219,226,230,255,255,255,231,218,203,186,239,239,238,227,195,168,139,119,78,98,255,255,255,255,254,254,202,212,224,231,232,249,255,255,244,224,203,195,227,247,223,201,173,151,134,104,70,220,255,255,255,255,255,255,205,216,227,233,236,239,255,255,252,230,213,202,211,236,217,185,160,136,126,77,192,255,255,255,255,255,255,255,209,219,229,234,242,237,255,255,253,246,236,212,203,226,209,170,139,130,94,148,255,255,255,255,255,255,255,255,211,223,234,238,246,236,247,255,253,249,238,206,196,208,192,152,121,114,104,255,255,255,255,255,255,255,243,172,214,227,237,242,247,241,247,254,217,222,223,202,189,196,173,146,122,87,193,255,255,255,255,255,255,182,73,46,217,229,238,243,248,245,249,255,214,231,235,223,191,186,165,151,115,95,251,255,255,255,255,255,164,62,47,33,218,228,236,242,248,244,243,255,230,245,246,226,190,174,164,153,109,110,255,255,255,255,231,130,56,63,65,21,218,230,239,244,248,251,244,255,253,255,255,229,197,174,163,154,103,121,255,255,255,204,72,43,32,59,72,38,221,233,242,246,250,255,223,255,255,255,250,221,198,179,164,151,100,109,255,255,253,96,65,66,26,30,64,54,223,235,243,248,252,255,130,255,255,255,239,215,202,181,169,138,103,68,255,255,139,73,63,60,37,11,48,60
15,111,123,130,132,137,144,151,157,162,166,170,173,177,180,184,188,190,192,195,196,197,199,199,200,201,202,202,201,113,125,132,134,138,147,154,160,164,169,172,175,179,182,186,189,192,194,196,198,200,200,200,202,202,203,203,202,114,126,134,136,139,148,155,161,166,170,172,176,180,184,187,190,194,196,198,200,201,202,202,203,203,205,204,204,115,126,135,136,141,149,156,161,166,171,174,179,182,184,187,192,195,197,199,201,201,203,203,204,205,207,207,206,116,128,136,137,143,151,158,164,169,174,176,180,183,186,189,193,195,199,201,201,203,204,205,206,207,207,208,208,119,130,137,139,144,152,158,165,171,175,176,180,183,187,192,195,197,200,201,200,203,205,206,207,209,208,208,209,120,132,138,139,146,154,160,166,172,176,179,184,191,195,197,200,203,204,207,209,213,213,208,207,207,207,208,210,122,134,139,140,146,156,162,168,171,174,172,163,156,161,168,175,180,180,171,163,165,186,205,214,216,215,214,211,122,133,139,144,148,154,154,151,151,154,147,137,132,129,132,133,142,150,142,137,122,109,121,138,162,184,204,215,124,134,144,153,150,155,148,130,129,124,111,123,141,142,137,124,141,164,156,155,141,124,115,100,87,89,104,130,126,137,143,126,107,104,87,68,74,73,68,75,89,88,81,83,126,139,139,137,126,126,132,122,106,93,86,90,128,138,142,141,132,116,111,124,143,157,167,161,154,143,129,104,119,120,127,106,110,119,146,130,115,100,93,102,129,137,141,147,157,165,172,179,182,184,188,193,196,206,192,150,138,118,107,89,108,134,158,139,128,113,105,115,129,137,141,146,153,160,166,171,176,180,184,188,192,189,160,168,133,71,82,49,121,172,163,142,140,127,119,120,129,137,140,145,153,161,166,172,176,179,183,187,191,177,161,140,124,44,48,32,142,185,166,139,140,130,120,113,130,138,140,145,153,160,167,172,176,180,184,190,183,175,174,123,70,38,50,22,137,190,162,136,122,114,108,96,131,138,141,146,154,162,169,172,176,180,184,189,187,157,176,151,66,40,48,30,142,175,157,128,101,94,82,78,131,139,143,147,155,163,168,172,177,181,185,189,196,182,169,172,118,61,99,151,156,151,152,113,87,79,70,78,130,139,142,147,155,162,168,173,178,181,186,190,192,201,181,171,155,145,151,142,134,123,99,70,63,56,62,67,131,137,140,147,155,162,168,171,177,182,185,189,193,200,183,157,163,143,103,107,93,72,76,126,119,121,141,165,131,139,141,148,157,163,170,177,182,187,191,194,197,176,138,126,132,116,84,71,57,43,48,183,232,222,226,224,102,108,112,115,120,124,132,136,139,145,152,154,173,160,128,105,84,83,64,46,47,41,45,100,224,210,216,218,89,90,89,92,96,93,92,92,94,94,96,92,122,142,91,67,57,76,89,69,66,93,83,96,128,129,134,139,96,98,99,102,102,104,103,103,106,108,109,108,111,106,78,85,99,109,111,110,108,110,111,106,104,104,103,103,95,96,98,99,101,101,102,103,103,106,106,108,108,104,112,118,114,111,109,110,111,110,109,110,112,113,113,113,96,99,100,101,102,102,103,104,103,104,104,105,107,107,109,111,112,115,110,110,108,109,112,113,112,113,114,115,97,98,101,103,103,104,104,105,105,106,105,107,108,109,108,107,107,111,111,109,109,110,111,112,112,113,114,115,96,97,100,102,103,104,104,105,106,107,106,108,108,109,110,109,108,109,110,111,110,110,111,112,111,111,114,113
23,222,224,226,227,229,230,232,234,234,234,235,237,236,238,238,238,239,239,238,238,238,237,237,237,236,236,236,237,224,226,229,230,231,232,236,237,237,237,237,239,241,243,244,242,239,238,240,239,239,240,239,240,240,240,239,240,225,228,231,232,233,234,237,237,238,239,239,241,244,242,240,242,251,255,255,254,234,235,244,240,240,242,242,243,226,229,232,233,233,235,238,241,241,241,241,243,242,251,255,255,255,255,255,255,244,232,220,178,234,244,243,243,229,231,233,234,235,237,239,241,242,241,244,241,253,255,255,255,255,255,215,184,190,182,162,191,246,244,246,245,230,231,233,235,237,239,239,241,243,243,246,237,255,255,255,229,228,187,178,221,212,206,226,251,246,246,247,246,231,232,235,237,239,240,242,243,245,246,247,238,255,255,255,194,167,200,242,254,255,255,253,248,247,247,248,248,232,234,237,239,240,243,245,245,245,247,247,246,255,255,255,204,211,255,255,255,255,235,252,248,249,249,249,249,234,237,238,240,243,244,245,246,249,251,244,255,255,255,255,184,224,255,255,255,255,189,255,255,253,251,253,252,234,238,240,242,244,243,245,249,251,254,243,255,255,255,255,235,255,255,255,255,242,173,177,207,255,255,254,253,237,239,241,244,244,245,248,250,252,253,246,255,255,255,255,255,255,255,255,255,251,255,189,128,225,255,252,255,238,241,244,245,246,249,252,253,255,250,255,255,255,255,255,255,255,255,255,255,255,255,226,141,184,255,253,255,240,242,246,247,248,250,252,255,253,255,255,255,255,255,255,255,255,255,255,255,255,243,199,146,142,228,255,255,242,244,245,248,249,251,253,255,251,255,255,255,255,255,255,255,255,255,255,255,248,255,220,140,134,176,255,255,244,245,247,249,251,253,254,255,251,255,255,255,255,255,255,255,255,255,255,255,255,255,231,150,126,193,255,255,245,247,248,251,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,249,245,238,200,152,133,234,255,255,246,248,249,253,254,255,255,255,254,255,255,255,255,255,255,255,255,227,226,219,205,198,192,152,162,255,255,255,247,249,252,254,255,255,255,255,255,255,255,255,255,255,255,255,241,191,161,142,157,199,191,146,202,255,255,255,249,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,233,204,154,66,137,201,187,146,238,255,255,255,251,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,188,108,108,168,189,162,156,255,255,255,255,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,190,116,132,169,154,137,191,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,200,147,119,134,146,141,210,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,197,161,113,137,157,143,230,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,246,199,172,134,148,162,149,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,204,174,145,158,161,166,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,240,200,173,153,159,147,205,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,229,191,175,163,155,154,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,208,187,179,171,144,203,255,255,255,255,255,255
3,145,144,146,148,150,149,150,150,149,150,150,149,149,148,146,145,144,143,142,139,138,137,136,133,131,130,128,128,151,151,152,152,154,155,155,153,153,154,153,153,153,151,150,149,149,148,144,143,141,139,136,135,134,132,130,128,156,158,157,158,160,160,159,159,157,159,158,157,157,155,152,161,131,132,152,146,145,142,139,139,137,134,133,131,161,163,163,164,165,165,165,164,164,164,163,163,161,160,156,170,117,87,161,150,149,146,145,143,140,139,136,134,168,169,169,169,169,170,170,169,170,169,168,168,166,164,163,168,125,68,158,156,154,152,151,147,145,143,140,137,172,173,173,174,175,175,173,174,176,174,172,171,170,168,167,171,125,53,155,161,158,155,153,152,148,144,143,141,177,178,178,178,179,179,178,179,179,179,179,177,175,173,172,172,127,52,154,168,162,160,158,156,153,150,147,144,183,182,182,182,183,183,183,183,184,184,183,181,180,179,176,182,141,55,148,174,166,164,162,160,157,154,152,150,186,186,187,188,188,187,187,186,187,188,187,185,184,183,179,187,131,46,152,176,169,169,166,163,160,158,156,153,190,190,190,192,191,192,192,191,190,189,190,189,187,187,184,176,126,62,154,180,172,172,170,167,164,162,158,156,195,196,195,196,195,196,196,195,194,193,193,193,191,189,186,176,131,65,139,188,174,174,172,171,168,165,162,160,197,197,198,198,198,198,196,198,198,198,198,196,194,194,192,196,133,43,126,193,176,178,175,173,171,169,166,162,200,200,201,201,200,201,199,200,201,200,199,202,203,193,172,155,164,98,115,208,181,180,179,176,174,171,168,166,202,203,204,204,204,204,204,204,203,202,204,185,170,191,147,58,139,150,65,140,183,187,179,180,177,173,171,169,204,205,205,205,206,206,206,206,207,203,195,159,84,141,161,80,83,136,59,47,80,176,187,181,180,176,173,170,206,206,204,207,208,207,209,209,209,199,186,160,121,97,167,113,52,119,93,70,46,129,198,182,182,180,177,172,207,208,208,210,210,210,211,212,204,190,129,124,148,96,132,124,45,52,96,79,30,111,202,185,184,181,180,175,210,211,211,211,210,210,212,213,197,182,139,71,118,75,85,132,49,42,92,123,48,86,203,186,186,184,180,177,212,212,213,213,212,214,213,214,201,178,133,63,82,33,74,98,25,55,83,154,86,59,196,189,188,186,182,180,212,213,214,214,214,215,214,216,206,173,155,115,61,43,91,72,31,111,155,152,92,58,200,193,189,187,185,182,214,214,215,215,215,216,217,219,211,176,172,135,81,77,111,93,121,194,162,122,43,128,209,194,192,190,186,184,215,215,217,217,218,219,219,221,216,172,171,145,103,80,117,185,196,179,128,78,52,199,201,196,194,190,187,185,215,217,219,219,220,219,221,221,223,175,150,137,106,88,105,180,168,145,100,41,105,217,197,198,196,193,189,186,214,216,215,217,219,219,219,219,225,194,139,139,118,103,102,160,154,121,68,33,178,209,201,199,197,193,189,185,213,216,216,217,219,220,220,220,220,217,151,136,134,112,85,121,116,81,24,130,215,200,200,196,193,190,194,195,214,217,218,219,220,221,221,220,221,219,178,153,135,97,70,80,74,21,101,220,201,201,198,200,204,198,167,112,217,218,219,220,220,221,221,221,225,202,180,171,136,103,85,78,61,43,203,210,211,211,206,188,131,78,34,12,216,217,219,219,219,221,221,222,225,186,167,177,148,131,106,83,33,103,224,203,175,132,95,57,23,18,11,11
1,192,194,197,199,200,202,202,202,203,203,203,203,202,202,202,199,197,201,196,195,194,193,191,190,188,187,185,184,195,196,199,201,203,204,204,204,205,204,205,205,204,205,202,204,193,163,199,199,195,194,193,192,190,188,187,186,196,199,203,205,205,207,207,207,208,206,207,207,207,207,203,219,199,104,175,194,198,196,195,194,193,192,190,187,198,202,203,206,208,210,212,211,211,210,211,210,207,213,189,193,195,119,177,134,185,203,199,196,194,194,192,190,202,204,207,209,210,212,214,213,213,213,214,214,210,227,170,149,180,121,194,126,168,210,201,200,199,196,194,194,204,206,210,212,212,215,216,214,216,216,216,216,216,231,155,153,183,125,188,124,152,216,202,203,201,199,197,196,206,208,210,215,215,216,218,218,219,219,219,216,207,227,137,150,181,124,185,128,144,218,206,207,204,203,201,199,209,211,214,217,218,219,220,221,222,222,223,221,162,213,134,143,178,123,183,140,142,218,209,210,207,206,203,202,210,214,217,219,220,221,222,222,223,222,233,202,137,201,124,161,181,123,175,138,142,220,211,211,209,208,205,205,213,215,218,220,222,224,224,224,225,224,240,179,126,184,120,199,185,127,195,159,138,224,214,214,212,210,209,206,214,217,222,223,223,224,227,229,228,227,241,164,138,200,128,193,164,124,216,166,144,226,216,216,213,212,210,209,215,220,224,227,227,229,229,231,229,236,241,136,145,192,106,162,128,117,212,152,148,228,218,218,216,214,213,211,219,222,224,228,230,232,231,232,230,245,236,146,185,156,120,164,146,168,207,145,150,230,220,221,219,215,215,212,221,223,226,230,232,234,232,233,230,254,218,137,207,194,183,172,161,194,186,141,152,232,220,222,222,220,218,214,222,224,228,231,234,234,235,236,233,255,216,188,164,201,222,220,176,143,151,132,151,235,225,224,223,220,219,216,224,226,230,231,233,236,237,235,242,252,220,190,133,163,174,210,214,184,141,106,148,238,228,227,225,222,221,218,224,229,231,231,233,236,238,235,250,249,193,159,147,152,158,201,224,213,191,128,141,242,227,229,226,224,223,221,225,230,233,234,235,238,240,235,255,253,182,164,172,162,192,218,220,232,200,171,127,218,235,230,228,224,222,222,227,231,234,235,238,240,241,237,255,254,191,172,175,176,221,250,231,218,192,170,117,201,239,230,230,227,224,222,228,232,235,237,238,240,241,238,255,255,212,185,170,189,246,255,232,200,166,146,117,201,240,230,230,230,226,223,228,232,236,238,240,243,241,239,254,255,234,193,178,184,255,255,223,179,149,124,116,201,242,232,231,230,227,224,229,233,236,239,242,244,244,243,250,255,232,198,184,172,255,251,209,168,141,120,125,224,240,235,233,230,229,227,231,233,237,240,241,243,245,245,247,255,228,210,186,182,245,228,193,158,135,118,147,241,236,237,235,232,231,228,231,233,237,240,242,244,245,246,246,250,239,234,198,212,235,206,176,148,130,119,194,245,237,237,235,232,231,229,232,235,238,240,243,245,244,246,245,244,245,234,195,191,207,188,158,138,123,135,233,241,240,237,235,233,232,230,233,235,239,241,243,245,246,247,248,246,236,215,186,171,179,174,153,137,120,160,248,240,240,239,236,233,232,232,233,235,238,242,244,245,246,246,247,248,228,198,183,185,180,176,171,136,117,195,250,241,239,238,236,234,232,232,231,234,237,240,242,243,244,244,244,244,240,214,214,205,184,169,169,128,114,221,245,239,239,238,235,233,231,230
7,202,201,202,201,201,201,201,201,200,200,198,196,195,194,193,192,190,188,187,186,184,184,182,181,178,174,172,171,204,204,204,203,204,204,204,203,203,202,201,199,198,197,195,195,193,192,190,188,187,185,184,181,180,178,174,176,206,206,206,205,206,208,207,206,205,203,202,201,199,199,199,198,196,194,192,190,189,187,186,183,182,179,176,175,207,207,207,208,208,208,208,208,206,205,203,202,203,202,201,199,199,197,194,193,192,190,187,187,185,181,178,178,208,208,209,210,210,211,210,209,208,207,207,206,205,202,202,200,200,199,198,195,194,192,189,188,187,183,182,180,211,210,210,210,210,213,212,210,209,208,208,209,207,205,205,203,201,200,199,196,195,195,193,191,188,186,184,182,213,212,212,213,213,213,213,213,211,210,209,209,207,207,206,205,203,202,200,200,196,194,193,191,189,187,185,184,214,214,214,214,214,213,213,214,213,212,210,209,208,208,207,205,205,203,203,201,200,199,197,196,192,188,187,185,215,215,214,215,215,215,215,214,213,213,212,211,212,213,212,211,208,209,205,201,198,193,190,187,190,193,188,187,216,216,216,217,217,217,216,219,220,218,213,211,205,197,187,176,166,149,145,148,150,126,132,165,156,184,192,188,217,217,218,217,216,219,218,201,177,158,150,144,145,139,129,126,130,104,112,118,113,112,119,155,128,174,195,191,218,218,218,220,222,210,187,165,145,113,119,127,127,131,127,129,106,100,94,93,91,95,79,100,143,191,199,192,219,218,221,219,193,174,172,166,143,106,101,101,100,104,108,112,109,118,111,85,92,88,83,88,94,103,164,198,218,224,211,175,162,166,167,156,146,131,117,116,118,127,132,130,133,126,116,75,84,89,77,73,61,82,111,199,226,205,167,163,164,165,156,156,158,146,130,126,125,135,125,120,114,105,87,61,60,63,60,63,61,73,143,199,198,171,170,168,165,161,160,167,154,132,88,81,94,98,87,83,89,92,95,113,139,155,168,172,177,183,196,193,166,176,177,170,166,167,165,146,134,106,61,66,71,52,131,187,187,202,211,215,217,213,212,211,204,201,201,203,169,175,173,169,169,162,141,127,126,99,76,56,51,52,59,182,226,213,211,208,205,204,203,199,200,204,183,152,169,168,173,175,167,147,130,118,117,127,124,72,47,56,30,126,226,210,213,209,205,205,207,210,197,125,76,62,166,171,176,169,149,123,114,112,114,129,113,61,50,42,71,206,216,212,211,215,217,210,187,140,88,53,48,55,169,171,166,146,124,112,108,103,101,104,73,49,32,59,203,222,216,217,221,196,157,114,75,52,48,54,44,50,166,157,137,126,123,117,115,101,81,78,71,56,35,81,236,208,202,201,164,92,60,50,53,54,54,56,41,42,145,132,128,124,115,104,89,74,68,83,88,58,37,121,147,84,79,75,59,54,67,51,44,50,52,54,39,34,134,132,125,105,87,79,74,74,80,89,68,49,66,81,40,39,49,38,53,43,47,53,27,40,50,52,37,33,132,125,108,94,88,86,80,74,70,60,57,71,69,63,54,28,49,36,41,36,39,41,24,33,46,49,32,35,114,97,89,90,88,82,69,61,64,67,69,61,53,46,48,27,33,37,29,32,36,31,20,28,45,44,26,36,72,58,64,69,71,70,77,83,63,65,55,49,41,46,40,33,19,35,24,28,33,23,21,28,43,41,24,36,50,91,107,104,102,106,108,84,52,41,49,49,35,40,34,35,14,24,25,26,34,21,22,31,41,39,20,40
13,232,233,234,234,234,234,234,235,234,234,234,236,237,236,237,238,235,235,236,236,235,235,235,235,234,232,231,232,233,234,234,234,234,235,236,235,234,236,238,236,234,234,232,232,241,241,239,237,234,235,237,236,235,234,232,233,234,235,235,235,236,236,235,235,236,237,235,237,250,253,232,194,187,222,219,237,238,237,238,238,236,236,234,233,234,235,236,235,236,236,235,235,237,236,235,255,255,255,253,202,152,127,161,166,240,238,237,237,236,236,234,235,235,235,236,236,235,236,237,237,235,237,237,225,229,255,255,214,162,112,142,116,203,246,235,239,237,237,237,237,235,235,236,236,237,237,236,238,238,203,223,222,198,219,249,229,175,118,157,164,182,250,237,239,238,239,238,238,234,235,237,237,238,239,234,255,255,193,195,225,229,237,229,234,205,119,157,156,172,251,239,239,240,239,238,237,236,236,237,238,238,237,236,255,255,220,193,159,202,231,223,190,151,108,99,161,227,243,242,240,240,240,239,239,235,237,237,238,236,249,205,184,237,246,222,154,92,177,227,197,170,149,121,144,252,241,242,241,240,240,241,240,234,236,236,230,251,255,186,133,159,255,236,190,92,83,145,178,207,221,193,128,179,255,239,242,241,239,240,238,235,235,234,252,255,234,179,156,113,229,250,194,148,82,83,107,234,246,230,190,126,210,251,239,240,240,240,237,236,233,246,255,226,221,194,182,108,174,255,207,186,109,93,86,179,255,246,209,159,134,238,241,239,240,239,238,236,238,254,227,186,214,208,189,132,96,236,239,209,155,80,120,198,248,248,209,183,132,195,251,238,240,240,240,235,242,255,240,199,200,223,187,175,107,119,251,226,196,133,157,255,241,228,198,183,134,190,254,240,242,242,242,234,243,253,236,214,183,203,212,208,165,73,144,242,229,216,177,250,234,209,172,152,121,209,251,241,241,241,241,237,241,255,252,233,208,174,198,217,192,168,85,201,231,215,232,239,218,198,165,129,119,233,245,242,242,242,240,228,228,255,255,249,223,206,191,196,195,212,142,230,253,246,248,231,210,187,158,122,144,253,247,247,246,245,243,147,143,246,255,255,235,217,213,214,194,164,187,253,255,255,239,224,207,179,147,118,164,232,227,231,230,233,235,131,110,210,255,255,245,228,217,222,222,190,183,240,255,255,239,209,192,171,137,125,130,136,140,140,140,140,141,136,124,164,255,252,251,245,231,223,221,210,171,201,255,248,232,207,176,154,132,123,132,125,117,118,131,162,191,133,133,128,234,245,245,248,245,231,220,207,189,172,234,236,216,196,166,143,129,120,134,153,176,207,232,245,236,132,137,125,169,250,238,248,252,236,222,204,190,175,196,221,200,173,158,141,120,126,201,242,250,245,238,242,235,133,133,135,122,208,247,244,244,227,213,199,184,173,173,192,192,174,154,136,105,187,255,251,236,228,213,214,225,134,134,135,127,139,244,240,223,209,200,191,181,160,153,177,196,183,144,123,111,246,255,244,230,204,182,178,195,133,133,131,135,119,212,250,212,192,193,188,177,158,139,180,208,170,133,105,162,255,250,249,231,181,151,174,185,134,134,131,136,122,176,254,220,208,208,192,173,158,139,185,206,147,127,101,231,255,245,255,243,187,136,157,185,133,135,130,136,124,158,255,232,222,223,201,180,169,141,182,194,142,116,123,255,243,238,255,255,208,142,138,175,135,135,130,135,124,157,248,240,235,228,204,191,180,135,175,187,142,104,155,255,240,234,252,255,228,153,126,152
7,226,228,231,232,234,235,236,237,238,238,239,239,240,240,241,240,239,239,239,239,239,239,237,236,235,234,231,231,229,230,232,234,236,237,238,241,240,240,241,241,241,241,242,242,241,241,241,241,241,242,239,239,237,235,234,233,231,233,235,235,237,238,240,242,242,242,242,242,242,242,242,243,243,243,242,242,242,243,241,241,240,237,236,234,231,234,235,237,239,241,241,242,244,243,244,244,244,244,244,245,245,245,245,244,243,244,243,242,241,240,238,237,233,235,236,238,240,242,243,244,246,245,245,246,246,247,248,248,248,247,246,247,246,246,245,244,242,241,240,239,234,236,239,240,241,244,245,246,246,248,248,248,248,249,248,248,249,248,248,248,248,247,246,245,244,242,242,241,235,239,241,243,244,246,246,247,249,249,249,250,250,250,249,249,249,250,250,250,250,249,248,247,246,245,244,243,237,241,243,245,246,247,248,249,250,250,251,251,250,252,252,252,252,252,252,252,251,250,249,249,248,248,246,244,240,242,244,246,247,248,250,252,252,251,254,254,252,253,254,254,254,253,254,253,253,252,250,250,249,248,248,246,240,242,245,248,250,251,251,251,255,255,246,251,254,254,253,255,255,255,255,255,253,253,250,250,252,250,249,248,241,245,247,248,249,251,255,255,255,255,229,214,234,247,245,244,247,251,245,249,243,249,237,255,255,244,252,249,242,245,246,251,255,255,255,255,255,255,251,205,206,227,234,234,232,225,227,230,229,234,223,231,218,248,253,251,243,250,255,255,255,255,255,255,251,250,237,203,194,205,222,231,232,233,228,220,224,225,213,220,216,242,253,249,255,255,255,255,255,255,250,240,236,249,251,213,188,185,188,199,210,216,207,213,219,220,216,229,223,230,226,237,255,255,255,255,248,245,241,241,245,254,251,216,193,199,198,192,182,169,200,208,206,206,202,204,212,212,221,252,255,255,254,244,237,233,234,234,242,248,230,202,185,190,205,211,202,183,212,255,255,255,255,255,254,255,255,255,255,255,254,243,234,234,235,229,230,243,240,206,175,174,188,192,196,184,197,255,255,255,255,255,255,255,255,255,255,255,255,247,240,238,240,239,237,248,250,215,193,200,199,192,189,165,247,255,255,255,255,255,255,255,255,255,255,253,251,249,247,243,240,238,237,242,242,217,203,211,208,202,186,210,255,255,255,255,255,255,255,255,255,255,244,243,245,248,248,244,238,234,235,228,210,199,182,179,187,194,173,255,255,255,255,255,255,255,255,255,255,255,172,184,211,240,246,236,227,216,205,195,191,189,139,134,157,174,199,255,255,255,255,255,255,255,255,255,255,209,103,104,118,149,191,206,195,203,211,235,255,255,188,154,181,204,255,255,255,255,255,255,255,255,255,236,206,156,103,98,94,93,94,126,243,255,255,255,255,255,255,238,255,255,255,255,255,255,255,255,255,229,177,161,147,139,96,93,91,93,74,146,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,184,148,155,153,144,135,91,89,85,87,70,137,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,189,140,121,135,139,132,131,89,89,88,91,62,130,255,255,255,255,255,255,255,255,255,255,255,255,255,255,185,165,148,116,111,130,126,122,97,97,93,82,58,102,192,185,188,192,194,197,200,203,203,206,207,206,216,191,127,153,146,109,104,114,118,116,106,101,86,66,62,97,166,160,159,161,162,162,163,163,165,164,163,167,182,166,118,146,141,105,99,108,111,113
22,185,186,187,188,188,188,189,190,189,189,190,190,190,189,190,190,189,189,190,189,187,188,187,188,171,97,63,62,186,188,189,189,189,191,192,192,191,192,193,193,193,192,192,192,193,192,192,192,190,189,188,190,175,88,69,76,188,190,190,191,192,193,193,193,194,194,195,194,195,194,194,194,195,195,194,193,193,192,191,189,194,124,70,86,189,192,193,193,193,194,195,196,196,195,197,197,194,196,198,196,196,196,195,197,195,194,193,191,195,156,76,79,191,193,194,194,195,196,198,198,198,198,198,198,203,180,185,201,197,201,190,172,199,196,196,194,194,194,94,70,193,195,196,196,198,198,199,199,200,200,199,197,215,172,162,208,198,205,195,137,198,198,198,196,194,177,111,52,194,196,198,199,199,200,199,200,201,201,201,200,215,171,154,210,200,203,184,134,196,200,200,197,206,145,129,105,195,197,198,200,200,200,202,202,202,203,203,201,220,186,147,208,202,204,188,138,193,203,200,203,199,134,158,166,196,199,200,202,202,201,203,203,204,205,205,201,221,208,145,205,204,206,194,146,195,204,200,210,183,140,159,185,198,199,201,203,204,203,204,205,205,205,205,203,216,225,148,201,207,204,188,149,199,206,203,220,177,144,190,184,199,200,202,202,203,204,205,205,205,205,206,204,212,235,151,185,212,201,188,147,198,207,207,219,161,157,209,163,200,201,202,204,205,205,205,205,205,207,206,206,211,239,181,158,213,204,199,152,196,207,215,206,141,170,212,176,200,201,204,204,205,206,207,206,207,208,208,208,208,233,205,144,201,201,197,154,198,211,218,194,132,188,209,198,202,203,205,206,206,206,207,208,209,208,209,211,206,223,199,161,167,159,193,169,206,218,215,172,141,208,205,204,202,203,204,205,206,206,206,208,209,210,210,210,212,232,208,189,185,117,155,183,197,196,197,148,168,214,204,205,201,201,202,205,205,205,206,207,207,208,210,207,224,216,223,188,196,162,135,140,159,163,160,133,201,209,206,205,201,201,204,205,206,206,208,207,207,208,209,210,224,187,208,186,166,199,185,134,117,146,133,138,213,205,206,204,201,202,205,205,206,207,208,207,208,210,209,218,227,202,191,187,120,177,195,172,127,117,118,146,214,204,205,204,200,202,204,205,205,206,207,207,209,211,208,223,221,187,157,186,121,108,177,193,172,122,101,160,215,206,205,204,205,207,209,209,208,209,210,210,211,214,209,220,223,182,159,162,138,95,151,213,203,168,107,175,215,206,205,204,178,182,185,188,191,194,197,199,202,206,204,214,232,193,163,139,150,159,200,204,215,191,140,148,220,214,213,211,118,118,120,122,122,123,126,126,129,134,126,183,238,214,161,145,171,212,226,213,208,189,158,128,172,170,170,178,122,122,123,123,122,121,122,121,121,125,112,174,241,230,163,152,168,217,228,221,202,177,140,114,118,137,164,189,124,122,121,123,124,124,124,125,125,126,120,173,234,231,165,166,163,219,231,220,197,173,123,149,209,213,219,223,121,121,121,121,123,123,123,125,125,127,120,155,232,229,178,181,159,214,236,209,189,161,115,174,218,206,206,216,120,122,121,121,122,122,122,124,125,125,122,133,222,227,193,182,163,202,226,192,173,142,115,168,188,203,204,206,120,120,121,121,122,121,122,124,124,123,125,121,202,226,199,174,158,180,212,176,149,123,120,188,156,168,191,204,120,121,122,122,125,123,122,123,124,125,125,119,194,213,183,163,147,150,189,160,133,113,133,202,153,153,182,201
10,63,99,101,105,111,116,123,134,142,145,149,153,157,161,164,166,170,170,172,174,174,174,173,175,176,175,174,173,68,101,102,106,112,117,126,135,143,148,151,155,160,164,166,169,171,182,171,175,177,176,176,176,176,176,176,175,73,103,103,107,112,117,127,138,146,151,155,160,165,167,170,169,179,215,152,163,182,178,180,179,178,177,178,176,80,103,104,109,113,118,129,140,148,153,158,163,166,169,173,172,185,213,161,146,187,181,182,181,181,181,180,178,85,104,105,110,113,119,131,143,151,153,158,164,169,173,176,176,182,215,185,140,186,184,184,184,183,183,182,181,90,104,106,110,114,121,133,145,151,169,166,163,174,176,178,180,180,223,212,141,180,189,187,186,184,185,184,183,95,105,107,110,115,122,134,146,154,218,164,121,165,180,181,184,182,220,212,147,171,194,189,188,188,188,187,185,99,104,108,111,116,124,136,147,155,186,150,118,114,190,166,157,189,214,221,152,158,199,191,191,190,190,189,188,101,103,107,112,117,124,137,150,158,163,156,134,121,183,137,133,191,218,230,159,144,202,193,194,193,192,191,190,103,105,108,113,117,125,139,150,161,164,169,161,156,195,135,94,184,215,200,150,123,198,197,197,196,195,194,193,105,106,109,113,117,125,141,153,162,166,170,183,169,197,149,93,148,202,147,127,108,191,201,197,198,198,196,195,106,107,109,113,117,126,142,155,164,167,171,180,175,200,170,138,110,134,120,124,104,183,206,201,201,200,198,197,107,108,109,114,117,127,143,156,165,169,173,183,195,165,190,180,153,101,95,114,104,162,213,203,203,202,201,200,108,108,109,113,118,128,144,156,167,171,171,204,209,142,150,217,187,157,114,103,99,129,214,205,206,205,203,203,108,109,109,114,118,129,145,158,169,171,179,198,220,181,102,180,218,184,158,98,88,107,211,209,209,207,206,204,108,108,109,114,118,129,146,160,167,180,223,170,201,173,115,166,231,197,168,104,81,108,212,212,210,210,208,207,109,107,110,114,118,131,147,161,167,188,240,175,152,186,148,218,219,187,168,116,88,87,195,219,212,212,211,209,109,108,110,115,118,132,148,162,170,177,219,194,138,215,199,232,222,183,162,123,95,82,191,222,215,214,212,212,109,109,110,114,118,132,149,162,173,172,201,197,145,217,167,209,225,192,151,119,101,87,201,221,216,217,215,213,110,109,110,114,118,133,150,164,173,173,198,215,185,183,113,224,221,181,147,117,103,95,209,222,218,218,218,215,110,109,109,113,117,134,150,164,174,179,179,228,228,173,149,240,212,176,143,114,105,101,215,223,219,219,217,216,109,109,110,113,118,134,150,166,175,178,182,207,246,234,216,232,202,168,137,115,107,109,222,223,221,220,218,218,110,108,109,113,117,134,151,165,175,178,184,197,242,239,215,203,186,157,135,123,105,126,230,222,223,222,220,219,110,107,107,111,117,134,150,164,174,177,185,186,180,232,193,170,181,167,151,139,102,145,233,220,223,222,220,219,108,106,107,109,115,133,150,165,173,176,189,176,71,216,177,187,193,192,181,153,96,146,233,221,223,222,221,219,107,104,105,108,113,132,149,164,174,175,192,168,38,183,225,204,179,186,173,131,80,74,228,225,224,223,222,220,103,101,102,106,111,129,148,163,172,175,192,144,41,121,191,175,154,156,130,81,39,103,237,223,224,223,222,220,109,105,105,106,112,129,146,161,170,175,186,126,55,82,82,75,67,68,57,41,26,149,237,221,223,223,222,221
5,182,183,185,188,189,189,189,189,190,187,202,154,163,192,186,187,186,184,185,187,182,182,181,179,183,118,70,76,184,185,187,189,190,190,191,191,191,188,216,134,132,197,187,188,187,190,180,171,187,182,183,189,154,70,82,96,186,187,189,190,192,193,193,193,196,194,215,125,150,199,189,190,187,199,156,119,192,184,184,183,103,66,86,104,186,190,190,192,193,194,195,194,179,206,199,116,175,199,191,190,191,181,118,131,194,184,190,160,78,74,84,97,187,190,192,193,195,196,200,209,118,200,184,115,191,197,193,195,175,143,106,180,191,186,194,134,72,86,99,107,189,190,193,195,197,200,197,216,122,175,181,120,199,196,198,182,150,107,154,197,189,188,194,145,83,96,99,104,190,193,195,196,198,201,198,223,149,151,164,129,204,200,180,154,124,128,201,192,191,189,195,165,93,100,96,90,192,194,196,198,201,202,201,213,160,138,137,146,211,178,140,130,110,183,200,194,193,191,192,182,100,87,81,83,194,196,199,199,202,203,201,217,175,128,115,165,201,137,120,104,163,203,195,196,195,193,192,199,127,62,69,87,195,197,200,200,202,204,202,222,196,133,124,154,168,123,107,134,209,198,198,197,196,196,194,201,151,72,74,71,197,198,200,202,205,205,205,217,194,133,127,132,139,123,106,169,208,201,198,197,198,196,195,199,177,143,143,108,198,200,201,204,206,206,207,209,191,134,113,111,116,115,114,199,208,194,199,202,200,199,197,199,185,117,175,176,200,202,203,205,207,208,207,209,199,154,119,111,102,99,146,206,160,134,144,194,206,201,198,199,180,133,188,149,200,202,204,207,208,209,209,207,207,172,121,104,103,97,127,134,120,138,141,148,175,198,200,203,199,169,126,133,201,203,205,207,209,210,210,208,215,191,143,108,102,104,101,110,125,119,147,168,158,170,177,175,184,200,145,168,202,204,206,207,209,210,212,211,223,211,177,126,103,104,112,102,95,103,139,137,157,167,161,129,130,185,187,180,202,205,208,209,212,212,213,212,223,222,191,135,105,99,107,95,134,190,202,172,162,143,158,159,143,113,186,188,204,206,208,210,212,213,213,213,227,231,193,138,109,100,87,141,228,208,212,209,171,169,176,154,130,144,195,137,204,206,209,212,213,214,215,214,231,236,198,145,112,95,79,118,175,219,201,153,152,172,146,122,180,204,204,163,205,207,209,211,214,215,215,215,231,238,200,150,116,89,88,98,103,172,140,145,164,137,102,179,210,199,200,196,206,207,210,213,214,215,215,219,233,235,197,150,118,88,89,103,110,97,119,151,134,111,171,209,202,202,201,200,206,208,210,213,214,216,214,219,237,231,193,150,118,90,92,107,112,115,124,129,118,189,214,204,204,203,201,200,206,207,209,212,213,215,213,218,237,227,184,146,118,92,95,115,116,119,112,107,186,214,206,206,203,202,201,199,206,209,210,213,214,215,214,221,231,217,177,147,119,90,99,120,122,118,103,176,215,205,208,207,204,201,201,200,207,209,210,213,214,215,209,227,231,210,178,151,116,89,95,118,125,106,135,221,206,208,208,208,204,202,203,201,207,208,210,212,216,209,213,237,230,205,178,152,116,95,96,119,122,96,180,215,207,209,208,207,204,203,203,201,207,209,212,213,215,203,232,239,224,200,181,150,112,97,105,123,100,130,216,209,209,209,208,206,205,204,203,200,207,209,212,217,205,208,241,233,211,195,180,144,107,98,108,108,105,200,214,210,209,208,208,207,206,204,204,193
12,168,169,170,170,170,170,170,170,171,172,172,172,172,172,171,171,171,172,172,172,172,171,170,170,168,168,167,167,171,172,172,173,171,171,173,173,173,174,174,175,174,174,174,173,173,173,174,174,173,174,173,172,171,171,170,168,173,173,173,174,174,175,177,174,176,175,176,178,177,175,177,175,174,175,177,176,175,176,174,174,173,171,171,170,175,175,176,177,175,178,178,176,178,178,181,179,177,180,180,178,176,177,177,178,177,176,175,175,173,173,173,172,177,178,178,179,178,178,180,180,179,177,171,179,186,169,172,183,179,180,178,180,179,179,179,178,176,176,176,175,179,180,180,181,180,181,182,179,193,197,160,127,192,177,130,154,188,182,185,180,181,181,181,180,179,178,179,177,182,182,182,182,183,183,185,180,221,224,190,113,146,216,152,112,184,162,162,185,183,182,184,182,181,180,180,179,182,181,183,186,185,184,185,185,220,228,205,141,107,208,180,130,107,149,107,144,194,184,185,183,184,183,182,181,184,185,187,187,186,188,185,191,218,209,215,170,102,164,191,143,78,105,112,80,187,188,185,185,186,184,183,183,185,187,188,188,188,186,192,180,199,185,202,192,144,98,151,120,60,49,90,72,176,191,188,188,188,187,186,185,186,188,189,190,184,200,222,148,122,144,161,161,109,64,87,91,66,144,100,74,187,190,190,190,188,188,188,187,187,189,191,188,209,233,199,136,101,125,102,133,126,99,135,169,168,155,82,86,197,192,193,192,190,189,188,189,188,191,189,199,226,202,192,153,113,72,75,80,127,141,160,205,218,184,104,110,209,191,195,194,192,192,191,190,189,192,188,219,202,177,201,171,122,71,76,78,66,76,116,202,220,220,173,113,161,203,193,194,193,193,192,192,190,189,198,218,194,156,198,174,149,89,69,87,92,99,158,194,197,186,168,150,97,183,199,194,195,194,194,193,192,189,208,227,197,153,138,198,186,113,69,91,112,173,208,193,192,154,141,160,94,161,206,195,196,196,195,195,194,192,202,232,215,185,131,146,174,180,103,92,196,213,196,190,179,149,119,116,86,186,201,196,197,195,195,195,194,192,201,234,225,195,159,147,133,142,129,188,231,209,194,183,162,139,106,75,112,208,198,199,198,197,196,196,195,193,200,226,227,211,178,170,153,116,176,228,219,215,178,162,141,131,95,64,161,208,200,201,198,198,198,197,195,195,197,219,224,223,200,181,165,151,160,219,214,202,165,136,132,125,80,89,203,202,201,200,200,200,199,198,193,195,188,208,232,227,207,188,169,165,157,212,204,178,151,117,137,115,62,138,213,200,201,200,201,200,200,200,191,195,190,184,228,216,196,185,173,170,166,189,187,151,130,127,134,95,67,188,206,202,201,200,201,201,201,200,194,195,196,182,220,201,184,178,176,170,165,172,168,151,127,127,118,69,113,211,200,201,201,201,201,200,199,198,195,195,197,190,216,203,191,192,186,171,160,169,177,154,114,105,90,75,187,206,202,201,202,202,201,200,199,198,196,195,196,190,217,210,200,199,186,180,156,172,180,128,95,91,67,153,212,202,204,203,202,202,201,201,201,200,195,196,198,189,218,216,206,208,188,190,152,166,163,116,93,69,109,213,203,204,203,203,203,204,202,202,202,201,194,195,199,187,209,226,211,213,194,189,149,150,153,118,86,65,181,210,203,204,203,204,204,204,202,202,202,201,191,193,197,188,205,228,207,202,191,182,143,136,151,115,68,93,210,203,204,204,204,205,204,203,202,202,203,203
16,206,206,206,206,207,207,208,208,208,209,208,208,208,209,209,209,209,209,209,209,209,208,209,209,209,208,209,209,207,207,208,208,208,209,208,209,209,210,208,209,209,209,209,210,210,210,210,211,212,210,210,211,211,210,210,209,208,208,208,209,209,209,209,209,211,211,210,211,210,210,211,210,211,211,212,213,212,211,212,212,212,212,212,210,208,208,209,209,210,210,210,211,211,211,212,211,212,212,211,213,215,215,213,211,211,211,213,212,212,213,212,212,208,209,209,210,211,211,210,211,212,212,213,213,213,212,210,198,197,196,211,218,212,213,212,213,212,213,212,211,208,209,209,211,211,211,212,211,212,212,210,205,202,214,223,185,169,161,151,187,219,217,212,214,213,213,213,212,208,209,209,210,212,213,213,213,212,213,207,188,197,227,223,200,185,173,145,118,149,202,220,213,213,214,213,213,208,209,210,212,212,213,212,206,199,230,219,196,211,228,215,205,196,173,139,134,115,123,177,220,212,214,214,213,210,210,211,212,213,211,221,203,203,223,217,202,214,228,203,197,189,168,127,138,126,121,113,168,221,214,215,214,211,211,211,213,213,211,232,213,207,216,215,213,208,218,192,192,180,157,125,129,121,125,124,109,169,224,213,216,212,212,212,213,212,213,219,213,202,216,221,216,211,215,195,189,172,144,123,120,117,123,123,121,106,192,222,215,211,211,212,212,214,217,211,218,213,208,223,217,213,224,207,191,166,135,119,112,113,121,121,121,110,142,224,215,210,210,211,209,222,215,210,220,224,210,217,216,215,222,210,187,155,130,110,100,116,124,124,120,113,123,216,216,210,211,211,211,216,217,214,213,222,211,218,222,220,219,209,177,143,123,93,98,116,126,129,131,113,132,221,215,211,211,212,213,212,218,223,216,224,219,192,229,226,217,210,172,133,101,73,99,112,121,135,131,115,141,224,214,211,211,212,213,213,219,224,226,202,214,197,219,225,219,212,165,123,75,69,91,104,119,141,124,115,147,222,214,211,212,212,213,214,213,214,233,178,186,215,211,221,224,207,159,116,76,65,78,96,127,147,121,111,171,224,215,212,212,212,213,213,213,203,213,230,207,202,211,224,227,202,157,112,90,78,71,102,145,146,122,112,187,224,217,212,213,213,214,213,214,207,194,216,213,206,210,226,227,197,151,110,104,106,90,121,167,157,126,109,185,224,217,204,206,208,209,211,213,217,205,206,207,198,191,219,225,193,143,112,113,113,99,141,187,181,144,107,193,224,215,142,146,148,150,153,157,159,161,163,163,141,144,210,226,192,135,116,119,119,111,151,189,194,168,116,181,221,228,131,131,131,130,128,130,129,128,128,129,130,124,207,231,193,132,135,127,122,122,157,187,199,193,139,173,234,247,135,136,137,135,134,136,136,136,136,136,140,124,196,235,189,138,176,142,133,122,144,179,194,202,161,183,236,242,133,134,134,134,134,135,136,135,136,136,138,127,176,233,184,146,203,157,146,136,122,159,189,185,155,143,236,229,134,134,133,135,136,135,136,135,136,137,140,127,167,245,176,161,220,177,160,150,132,121,160,166,136,163,210,213,133,134,133,133,134,136,136,135,137,137,139,128,165,240,146,197,226,192,173,163,143,121,120,128,130,218,177,193,133,133,133,133,134,134,134,135,136,136,137,134,144,164,183,230,222,201,184,172,150,126,118,114,125,235,209,177,132,134,132,135,134,133,134,136,137,136,136,138,132,137,224,231,226,207,189,178,159,130,119,116,127,239,233,210
13,190,191,192,192,192,192,192,192,192,191,192,193,194,193,194,195,193,193,193,194,192,193,193,192,192,190,189,191,191,192,192,192,192,192,193,193,192,194,195,193,192,192,190,190,197,197,195,194,192,192,194,193,193,192,190,191,192,192,193,192,194,193,193,192,193,194,193,194,204,206,190,161,156,182,181,194,195,194,195,195,193,194,192,191,192,193,193,193,193,193,193,193,194,193,192,211,220,218,206,167,129,110,136,140,196,195,194,194,194,194,192,193,193,193,193,193,193,193,194,194,193,194,194,185,188,209,211,176,137,99,121,102,168,201,192,195,194,194,194,194,192,192,193,194,194,194,194,195,195,168,183,183,164,181,203,188,147,103,133,139,152,204,194,196,195,195,195,195,192,193,194,194,195,195,192,208,209,160,162,185,188,194,188,192,170,104,133,132,145,205,196,196,196,196,195,194,193,193,194,195,195,194,193,222,210,181,160,135,168,189,183,159,129,96,89,136,187,199,198,197,196,197,196,196,192,194,194,195,193,203,170,154,194,201,183,130,84,149,186,163,143,127,106,123,206,197,198,197,197,197,197,196,192,193,194,189,205,211,155,114,134,210,194,158,84,77,124,149,171,182,160,111,150,209,196,198,197,196,197,195,192,193,192,206,214,192,150,133,99,188,204,161,126,76,76,95,192,201,189,158,109,173,205,195,196,196,196,194,193,191,201,215,185,182,161,152,96,146,212,171,155,96,84,78,150,213,201,172,135,115,195,197,195,197,196,195,193,195,207,187,155,177,172,157,114,86,193,196,173,131,74,104,164,203,203,173,153,114,162,205,195,197,197,197,193,198,212,196,165,166,184,156,147,95,104,205,186,163,115,133,214,197,187,165,153,116,158,207,197,198,198,198,192,199,207,194,177,153,168,175,172,139,69,123,198,188,178,149,204,192,173,144,129,105,173,205,198,197,198,197,194,198,209,206,191,172,146,164,179,159,141,78,167,189,177,190,196,180,164,139,111,104,191,201,198,198,198,197,187,187,210,215,203,184,171,159,162,162,175,122,189,206,201,203,189,173,156,134,106,123,206,202,202,201,200,199,126,122,201,217,209,192,179,176,177,161,138,156,206,215,215,196,185,171,150,125,103,138,191,186,189,189,191,192,113,97,174,220,210,200,187,179,183,183,158,153,196,214,211,196,173,159,144,118,108,113,117,120,120,120,120,121,117,107,138,215,206,205,200,189,183,182,173,144,167,210,203,190,171,147,130,114,107,114,109,103,104,113,137,159,115,115,111,192,200,200,203,200,190,181,171,158,145,192,193,178,163,140,122,112,104,115,130,147,171,190,200,194,114,118,108,142,204,195,203,206,193,182,169,158,147,163,182,166,145,134,121,105,109,167,198,204,201,195,198,192,115,115,116,107,172,202,199,199,186,176,165,154,145,145,160,159,146,131,117,93,156,224,205,194,187,176,177,185,115,115,116,110,119,200,196,184,173,166,159,151,135,130,148,163,153,123,107,97,201,211,199,189,169,152,149,162,115,114,113,116,104,175,204,175,159,161,157,149,134,119,151,172,143,115,93,137,225,204,204,190,151,129,146,154,115,115,113,117,107,147,207,181,172,172,160,145,134,119,154,171,125,110,90,190,217,200,214,199,156,117,133,154,115,116,112,117,108,134,209,190,183,183,167,150,142,121,152,161,121,102,107,215,199,195,214,214,172,121,118,147,116,117,113,116,108,133,202,197,192,187,169,159,150,117,146,156,122,92,131,218,197,192,206,220,187,130,110,129
13,197,201,204,205,207,209,211,213,213,214,215,216,217,216,216,216,215,213,214,213,211,210,209,209,208,205,204,202,199,202,204,206,208,211,212,214,214,216,217,218,218,218,219,218,217,217,217,215,213,212,212,211,210,208,206,204,201,203,206,208,209,212,214,215,217,219,220,220,219,219,219,220,219,219,219,218,216,216,214,214,212,210,209,207,201,205,208,209,210,212,216,218,219,220,221,222,223,223,222,220,220,224,222,219,219,218,217,215,213,213,211,209,202,206,208,209,211,214,217,219,220,221,221,224,225,216,220,227,222,218,223,224,219,220,219,217,216,215,212,210,203,207,209,210,213,216,219,220,222,223,223,225,213,175,144,203,217,169,142,195,228,220,220,218,218,216,214,212,204,208,210,211,215,217,219,221,222,225,223,230,223,186,153,129,175,169,117,114,228,222,222,220,220,218,215,213,206,209,211,212,216,219,221,223,223,226,227,230,242,199,175,112,141,179,140,89,203,230,224,223,222,220,217,215,207,211,212,213,217,220,222,225,225,227,228,227,238,204,164,112,117,168,138,81,186,234,223,224,224,222,219,218,207,211,213,215,217,220,222,226,227,229,233,235,229,203,159,118,97,135,119,76,183,235,223,224,223,221,220,218,208,213,214,216,218,222,225,227,228,223,192,207,205,199,161,131,97,137,127,81,202,235,226,226,224,222,221,219,208,211,214,217,220,224,227,227,231,205,146,127,134,183,204,159,108,144,145,84,200,238,227,227,227,225,222,221,209,213,216,218,220,224,228,228,242,199,154,141,106,164,230,174,110,123,138,77,135,243,227,227,227,226,224,223,209,215,217,219,222,224,226,212,172,189,175,161,118,83,172,137,101,115,111,100,91,201,239,227,228,227,225,223,209,215,217,220,223,220,234,197,132,134,193,165,145,78,53,65,82,120,120,126,112,127,241,230,229,227,226,225,211,215,218,220,220,236,238,177,151,126,165,175,144,117,53,77,97,105,151,150,138,92,205,238,229,228,227,226,211,215,219,221,225,239,195,184,169,151,124,170,152,131,72,79,149,158,164,151,138,91,181,243,229,229,227,226,211,216,220,222,225,245,196,168,166,148,124,141,144,108,75,83,176,194,188,141,124,91,198,242,229,228,227,226,212,217,220,222,228,235,196,147,138,136,109,80,112,99,88,105,194,191,182,150,111,94,226,237,232,230,228,227,213,217,221,222,227,228,216,189,144,108,83,63,98,125,106,158,216,187,173,144,93,118,244,234,235,232,229,227,214,218,221,221,224,228,225,203,169,143,127,123,124,136,146,218,211,177,155,138,84,153,251,235,235,232,231,229,215,220,220,223,226,226,220,210,185,166,141,139,158,201,214,216,195,169,145,128,80,188,248,235,236,233,231,229,216,219,220,224,226,228,216,196,180,159,139,141,153,215,211,198,180,158,137,112,84,221,243,236,236,234,232,228,215,220,221,224,227,231,208,185,181,161,146,149,149,197,205,194,169,145,126,96,102,245,238,237,236,234,232,230,217,221,222,225,227,233,221,192,182,165,157,152,151,192,201,188,162,130,116,72,155,253,237,237,236,235,232,231,216,219,220,223,226,231,236,201,180,176,161,145,141,172,187,172,143,114,93,83,229,244,239,237,236,233,232,232,215,219,221,223,226,229,235,228,191,174,155,145,137,153,171,159,130,111,72,149,255,238,240,237,235,233,233,234,213,217,220,222,226,229,231,235,214,177,156,142,141,146,162,156,128,109,76,206,247,238,237,236,234,233,231,230
19,166,166,167,168,170,171,172,172,172,173,173,172,172,171,171,171,170,169,167,166,166,166,165,165,163,163,163,162,166,168,169,170,171,172,173,173,173,173,174,173,173,173,172,172,171,171,170,169,168,167,166,166,165,165,165,164,166,169,170,171,172,174,174,174,175,175,175,174,174,174,173,173,172,171,171,171,170,169,168,168,167,166,165,165,168,169,171,173,173,174,176,176,177,177,177,176,175,175,174,174,174,172,172,172,171,171,171,169,167,167,166,165,169,170,171,173,174,176,177,178,179,179,178,179,179,177,176,176,174,174,173,173,173,172,171,170,168,167,167,166,170,172,172,174,176,178,178,180,179,179,179,179,180,180,178,177,176,175,174,174,173,172,171,170,169,169,168,168,171,172,173,176,177,179,180,181,181,181,181,180,179,179,178,179,179,177,176,175,175,174,172,172,171,170,169,169,172,174,176,178,179,180,181,182,181,181,181,181,180,179,173,166,172,177,177,177,177,175,173,173,170,165,169,169,173,175,177,179,181,181,182,183,182,182,181,181,181,182,167,139,145,176,170,169,172,171,167,168,161,124,163,171,175,176,178,180,181,182,183,183,183,178,175,178,179,183,176,169,176,181,171,171,180,173,164,150,125,115,165,172,176,177,179,180,181,183,183,185,185,166,158,164,169,172,164,155,147,150,143,153,166,150,129,122,134,161,174,174,176,178,180,180,182,183,183,183,168,161,168,169,163,162,155,145,118,106,106,117,145,147,157,167,175,176,174,175,178,179,181,182,184,180,189,200,186,184,184,178,168,154,124,102,102,87,89,150,180,180,180,179,178,176,175,175,180,180,182,183,186,181,209,217,197,180,171,164,158,143,112,87,95,87,95,168,183,182,180,179,178,178,178,177,178,180,182,184,186,181,207,210,182,153,130,119,120,129,115,92,96,89,100,173,182,183,181,181,179,179,179,178,179,181,184,185,186,180,194,199,169,126,107,80,83,137,121,98,98,91,111,179,184,183,183,182,182,180,180,179,180,181,184,185,187,178,188,197,167,126,91,68,110,134,115,99,97,92,126,186,186,185,185,184,183,181,180,179,181,182,184,186,188,177,185,201,172,139,109,81,85,85,82,86,88,96,110,182,187,186,185,184,183,182,181,179,182,184,186,187,189,177,183,201,177,146,117,101,78,58,54,63,78,88,94,171,188,187,186,185,184,183,181,180,182,185,187,188,190,176,177,198,175,147,120,107,101,82,73,78,88,94,95,163,190,188,187,185,184,184,183,182,183,185,187,188,190,179,173,195,173,145,122,109,106,93,84,88,95,100,100,166,190,188,187,186,185,185,185,184,183,185,187,190,192,181,172,193,171,142,122,109,106,95,86,91,97,101,108,176,190,189,188,187,186,186,186,185,184,186,188,190,192,185,175,189,166,139,120,108,105,100,93,96,102,105,126,187,191,190,189,188,187,187,186,185,186,187,188,190,192,186,184,191,166,138,121,110,105,104,102,104,109,109,155,192,191,191,190,189,188,188,186,186,187,188,189,192,193,183,187,194,171,144,126,112,105,109,109,110,112,134,185,193,193,192,191,189,189,188,187,187,185,187,188,191,194,179,188,191,171,153,130,112,106,111,111,114,148,183,194,194,192,191,191,189,189,189,188,186,185,187,187,188,189,180,191,184,163,147,129,112,109,109,106,133,186,194,193,192,191,190,190,189,189,188,187,186,184,187,188,189,188,189,197,187,167,146,132,115,107,105,103,147,189,194,193,192,191,190,190,189,189,187,186,186
24,134,136,138,140,143,145,145,146,148,148,149,150,150,151,151,151,151,151,150,150,149,149,150,148,148,147,146,145,136,138,141,143,145,148,148,149,150,151,151,151,152,153,152,152,154,154,153,152,152,151,152,150,151,149,148,147,137,139,142,144,147,149,150,151,152,153,154,154,155,154,153,155,155,155,156,156,154,153,153,153,152,150,149,148,138,141,143,145,147,149,151,153,154,156,156,157,157,156,157,157,158,156,157,157,155,155,156,155,154,153,152,151,140,142,144,147,148,150,154,155,156,158,157,158,157,158,159,160,160,159,160,158,158,159,158,157,157,156,155,153,142,144,147,150,151,156,153,156,158,158,158,159,160,161,161,162,161,163,163,161,158,160,159,159,159,158,157,155,143,146,151,148,169,179,125,157,160,161,160,162,164,164,162,163,163,161,163,164,161,162,162,161,160,159,159,157,146,149,152,152,167,190,123,142,166,163,162,161,165,163,163,165,165,190,179,146,163,164,163,164,162,162,162,159,147,150,153,157,155,188,154,124,166,166,162,172,161,168,199,162,143,209,194,130,125,171,163,163,164,164,163,162,148,151,154,158,156,171,198,147,143,167,175,208,168,168,211,181,126,181,203,143,93,162,168,165,166,164,164,164,149,153,156,158,161,159,198,178,125,153,191,213,194,159,201,197,137,163,202,146,85,150,174,168,167,168,168,149,151,154,158,161,164,161,175,194,173,154,178,213,203,158,180,199,137,138,186,132,76,144,176,170,168,176,159,113,153,156,159,162,163,166,164,191,201,185,182,208,208,168,148,196,148,106,156,117,69,123,185,170,156,164,134,98,155,159,161,163,165,168,167,173,197,188,204,208,201,162,120,173,157,88,114,125,69,76,159,149,158,153,98,131,157,159,162,165,166,168,171,168,191,206,194,182,184,155,115,133,145,94,110,139,81,115,134,160,161,104,117,175,158,161,163,166,168,169,171,170,184,209,175,153,152,172,155,106,158,117,93,146,162,188,172,156,125,103,169,174,159,163,165,167,169,170,173,174,180,206,183,162,156,169,162,137,156,128,131,204,202,182,160,128,95,136,182,172,160,164,166,168,170,173,176,176,177,210,208,182,157,160,182,193,175,177,206,204,189,175,150,113,104,170,178,176,161,164,167,170,171,174,176,178,174,201,213,195,168,158,186,204,212,213,209,200,186,164,139,98,134,186,177,177,162,166,169,171,174,175,177,179,174,194,213,203,187,171,174,204,212,213,206,200,185,155,115,98,172,183,180,177,163,168,169,170,174,177,179,181,179,189,213,210,198,187,179,199,212,213,204,198,177,148,100,131,189,181,181,179,165,168,169,173,175,178,179,182,182,182,208,213,203,191,180,189,204,206,196,182,161,136,105,176,186,183,183,181,165,169,172,175,176,178,180,182,184,181,192,213,203,185,169,180,188,185,173,154,129,94,144,193,185,184,184,184,165,170,172,175,178,180,181,185,187,189,193,213,198,168,152,157,163,169,153,128,89,101,189,185,186,186,186,185,166,169,171,175,177,178,180,142,126,130,139,175,159,155,159,165,178,167,145,115,70,160,205,185,186,185,186,185,166,170,173,175,176,179,184,116,92,94,74,70,69,76,73,77,74,65,65,62,52,100,145,189,187,185,185,184,166,171,174,176,178,179,191,130,95,98,79,65,58,46,37,29,21,20,18,17,22,3,71,197,185,188,188,186,168,171,174,177,178,180,191,141,95,94,77,63,58,49,42,33,27,24,23,21,21,14,152,199,186,189,188,187
7,213,215,215,217,219,219,218,219,219,220,220,220,220,220,220,220,220,220,220,220,218,218,216,215,214,213,212,210,214,217,217,218,219,220,220,222,222,221,221,221,221,221,222,223,222,221,221,222,220,219,218,216,214,214,214,212,216,218,219,221,222,223,222,222,223,224,223,224,224,225,224,224,223,224,224,223,223,221,219,218,217,216,215,214,218,219,221,222,223,223,225,224,224,225,226,226,226,226,226,225,224,225,226,224,223,223,221,219,220,218,217,214,220,221,223,223,224,226,226,225,226,226,226,227,227,226,227,227,226,226,226,226,225,225,223,222,221,220,219,218,221,223,224,225,225,227,226,227,228,227,227,229,228,228,228,228,228,227,227,227,226,225,224,224,222,221,220,218,223,224,224,226,228,228,228,228,229,229,228,230,229,230,230,229,229,229,229,228,228,227,226,225,225,223,222,220,224,225,226,228,229,230,230,230,232,234,233,231,232,232,232,231,231,232,231,230,230,229,226,225,227,226,223,222,224,226,227,228,229,231,234,237,227,210,222,229,229,228,230,232,233,231,230,230,228,227,232,228,226,225,225,224,225,226,228,232,236,238,240,243,235,205,189,207,219,217,220,220,218,220,221,222,219,229,244,216,230,226,226,225,229,234,238,241,241,238,235,233,232,207,177,190,204,211,211,206,203,206,203,210,203,203,193,213,230,227,227,226,241,242,241,238,233,227,219,219,226,210,181,173,180,196,205,213,211,204,205,208,199,200,204,206,228,224,227,228,240,237,232,227,224,220,219,223,233,221,184,174,174,170,175,179,181,182,190,194,193,195,204,198,205,203,229,228,237,229,220,216,213,215,218,225,222,203,183,178,186,188,182,163,166,209,205,203,197,196,198,201,201,221,232,230,235,225,215,211,212,212,208,216,223,204,174,159,173,188,190,185,168,223,246,239,240,239,237,236,237,236,231,231,236,228,221,217,217,217,213,215,227,215,183,170,176,175,174,173,166,228,240,237,238,238,237,235,234,235,233,234,230,228,226,221,218,217,217,219,227,215,189,187,193,184,185,159,201,248,239,241,240,239,239,237,237,236,238,222,223,225,226,225,221,215,213,214,208,199,186,184,189,186,177,178,245,242,241,242,240,240,240,239,238,241,201,158,191,213,228,223,215,210,205,196,183,170,157,135,144,172,161,209,251,241,242,242,241,241,241,239,244,228,156,159,112,136,177,205,196,182,182,186,205,219,163,126,142,160,181,241,243,243,243,242,241,239,239,241,239,189,151,147,96,90,98,110,163,223,232,243,247,252,233,173,192,211,238,246,244,244,243,241,241,245,242,239,187,147,139,122,92,92,88,91,225,250,244,244,243,243,245,245,246,250,245,245,245,244,243,246,247,213,176,159,142,133,123,112,87,86,79,109,247,241,242,244,245,245,245,244,243,243,245,246,246,244,246,227,181,150,149,142,134,122,113,107,88,88,78,100,245,243,243,244,245,245,245,246,245,245,246,245,244,254,230,157,122,124,139,130,126,126,118,105,94,91,68,97,251,247,248,248,248,250,250,251,250,250,250,250,252,227,172,151,125,106,119,125,119,121,123,108,94,79,64,85,211,217,218,221,223,225,227,227,229,230,230,234,222,152,127,154,121,100,102,116,113,114,123,116,82,68,67,91,155,152,154,156,157,160,162,163,164,165,163,173,172,134,120,147,119,94,99,106,108,109,117,119,71,71,69,108,165,158,158,159,159,158,158,159,159,156,160,169,159,126,114,140,115,94,95,102,104,105,112,117
1,130,135,140,144,148,151,153,156,158,159,160,163,164,165,164,165,163,165,164,162,162,163,162,160,157,157,155,155,132,137,142,147,150,152,156,158,160,162,164,166,166,166,169,167,168,144,151,166,163,163,163,161,159,158,158,157,133,139,144,149,151,154,158,159,163,166,167,166,168,171,143,156,184,116,96,181,163,163,164,162,161,159,158,158,135,139,146,151,153,156,159,162,165,167,168,167,169,187,102,122,189,112,84,154,162,167,165,164,164,163,159,160,138,142,148,152,155,159,161,165,167,168,170,169,181,186,92,133,182,97,89,110,110,176,164,165,165,165,162,161,139,144,149,153,157,161,164,166,167,170,173,166,142,164,84,148,178,87,119,136,79,174,166,166,167,166,164,163,140,145,151,155,158,161,166,166,169,170,180,164,78,135,95,159,189,102,131,138,71,168,170,169,168,167,165,165,142,148,153,157,160,163,166,168,173,171,188,146,64,131,104,155,173,98,141,140,68,166,175,171,170,169,168,167,142,149,154,158,161,164,166,170,174,172,189,129,54,112,86,131,158,86,157,154,76,166,176,173,172,170,169,167,144,150,154,159,163,166,169,172,173,177,192,120,59,129,85,148,160,86,162,145,77,165,176,173,173,171,171,170,145,152,157,160,164,167,171,174,174,184,186,108,67,152,80,155,158,82,172,142,77,168,177,176,175,173,172,171,147,152,159,161,165,169,173,175,175,190,191,111,50,109,48,136,116,81,184,145,84,173,179,177,175,175,174,172,147,154,159,163,167,170,173,177,174,197,184,114,91,107,95,137,140,112,143,140,83,176,180,179,178,176,176,174,147,155,160,164,167,171,174,177,179,203,179,135,111,165,174,179,182,152,88,111,88,180,179,181,180,177,175,175,148,156,161,164,168,173,175,175,191,202,154,118,83,96,152,145,178,189,127,58,78,186,180,180,181,180,178,177,150,156,162,165,170,173,176,174,201,196,148,102,83,69,93,89,179,207,172,77,73,191,181,180,180,180,179,178,149,157,162,166,170,173,176,176,208,191,136,100,96,93,112,153,166,189,174,106,87,192,181,182,182,181,180,179,151,157,163,166,171,175,177,180,211,183,140,102,107,102,142,197,181,162,128,102,66,171,188,183,182,182,182,181,149,156,162,166,171,175,176,183,213,185,149,117,114,121,177,202,174,148,109,74,59,174,190,184,184,183,182,181,150,156,161,165,168,173,175,182,212,186,144,120,117,130,195,209,168,134,99,59,58,185,185,183,183,182,181,180,150,157,162,166,170,174,176,182,209,187,150,139,118,127,198,207,160,123,92,49,79,194,185,185,183,183,182,181,150,157,163,167,170,175,178,180,204,191,162,161,125,118,202,188,149,107,78,43,150,194,185,185,185,184,182,181,151,157,162,167,171,175,179,179,200,196,169,165,124,127,196,170,141,99,56,71,193,186,187,186,186,184,182,181,150,156,161,166,171,173,178,179,204,200,170,155,112,134,179,145,127,86,38,120,198,185,185,185,182,181,181,180,151,158,164,171,177,179,184,180,205,192,165,139,108,138,153,128,110,71,51,178,198,193,193,192,190,190,187,186,119,122,124,125,129,133,128,152,213,184,165,138,120,142,137,125,100,58,64,137,136,137,137,139,139,139,138,136,86,83,82,83,82,85,75,171,211,186,174,140,139,136,117,109,76,48,67,72,72,72,71,73,68,68,66,64,95,94,95,96,97,94,104,206,187,164,163,150,136,113,101,89,52,58,87,85,85,83,83,83,83,81,81,83
5,126,131,135,138,143,148,152,156,158,161,161,161,166,167,168,169,170,170,169,169,168,168,167,167,166,165,164,163,127,132,136,139,144,150,154,157,158,169,165,137,166,169,170,170,171,171,171,171,170,169,168,168,167,166,166,165,128,134,137,141,146,151,156,158,159,185,158,128,166,171,171,171,172,172,172,172,171,170,170,170,169,167,167,166,129,135,138,141,147,152,156,158,167,198,132,140,170,172,172,173,173,173,173,172,173,166,169,171,170,169,168,167,130,136,139,142,147,153,158,159,188,199,120,155,172,173,174,175,174,173,177,184,186,138,156,173,171,170,168,168,131,137,139,154,151,149,159,159,204,191,125,165,174,174,175,177,175,184,202,187,156,130,162,174,172,171,170,169,132,138,138,179,157,128,161,164,215,178,128,170,175,176,177,177,189,215,190,137,135,164,174,174,174,173,171,170,133,139,139,187,152,124,161,170,220,165,129,174,177,177,178,190,215,195,145,130,166,178,177,175,174,174,172,172,135,141,143,198,145,129,163,177,219,156,124,174,177,178,189,210,184,140,135,170,180,179,178,177,176,175,174,172,136,141,145,198,153,124,163,181,213,163,118,170,179,183,206,192,132,126,170,182,181,179,179,178,177,177,175,174,136,143,144,191,173,121,159,176,210,164,113,164,182,188,194,155,119,156,184,182,182,182,181,179,179,178,177,176,138,144,145,178,192,128,136,168,202,164,105,145,173,167,151,127,138,178,183,184,186,185,182,180,173,175,179,177,139,144,146,166,199,165,147,142,180,177,124,110,124,128,119,125,167,178,200,205,203,202,194,178,136,149,181,178,141,145,148,157,177,185,178,160,160,168,131,106,106,111,115,139,159,180,176,169,182,194,182,163,135,120,165,181,141,146,149,155,161,170,185,197,201,179,134,104,101,105,120,128,132,143,125,126,187,196,162,139,126,124,163,182,142,146,148,155,162,165,173,205,223,201,147,105,101,102,112,119,113,106,133,176,204,167,127,138,166,178,183,182,143,147,150,156,163,169,172,191,222,213,161,110,98,97,102,107,100,134,186,190,186,133,123,178,188,186,185,184,144,148,151,158,164,170,174,179,212,223,182,126,98,95,94,93,91,137,170,179,180,128,147,190,188,187,187,185,145,149,152,159,165,170,175,178,205,228,199,148,105,92,91,99,111,137,151,170,170,124,164,192,190,188,187,186,144,149,152,159,164,168,174,177,193,233,214,171,119,93,92,101,116,145,160,158,156,122,171,192,190,189,188,186,144,148,151,157,164,169,174,177,189,235,225,191,139,99,94,102,126,156,160,140,130,116,175,192,191,188,187,186,144,148,151,158,165,171,176,178,189,233,228,202,157,110,94,107,138,160,153,124,113,137,189,193,192,189,188,187,145,150,152,159,165,171,176,178,187,228,230,207,174,126,100,103,140,154,145,115,115,179,195,194,192,190,189,188,144,150,152,158,165,171,175,179,185,217,230,211,186,146,114,102,130,145,132,110,129,192,195,194,193,191,189,188,142,147,151,157,164,170,176,181,183,210,227,221,199,168,129,108,112,131,121,109,155,197,195,194,194,191,190,190,133,137,140,144,147,151,154,157,157,201,232,231,207,174,135,114,108,119,111,111,149,160,158,158,158,157,157,155,106,107,108,109,108,107,107,109,106,185,239,230,203,163,131,117,109,111,110,105,101,100,98,99,99,98,103,141,109,109,109,109,109,108,109,111,107,181,234,222,185,140,121,113,110,112,108,103,101,101,100,99,97,108,170,206
6,167,172,176,178,180,184,187,190,193,196,198,199,201,203,205,207,208,209,210,212,212,212,212,213,213,213,213,213,168,172,175,177,180,185,188,190,193,196,199,200,202,204,205,207,208,210,210,212,213,213,213,214,213,213,213,213,168,173,176,177,180,185,189,192,193,197,200,202,204,205,206,207,210,211,212,212,213,214,215,215,214,214,213,213,168,174,177,178,182,186,190,193,195,198,200,202,204,206,207,208,211,213,214,213,215,215,217,216,215,215,214,215,169,175,176,179,181,186,189,192,196,199,201,203,205,206,208,209,211,214,214,214,216,216,217,218,217,217,219,219,170,175,177,180,182,186,190,193,196,200,201,203,206,206,208,209,210,211,211,212,209,212,212,213,213,211,207,209,170,175,178,180,181,186,191,193,196,197,205,210,207,210,213,215,216,220,220,215,218,222,230,221,213,208,190,189,169,173,176,177,180,185,189,190,201,219,228,224,210,203,217,227,232,233,228,216,219,227,231,229,222,211,199,198,168,173,176,178,179,182,194,213,228,230,229,220,207,179,174,198,203,203,200,196,199,191,184,186,184,177,173,179,170,177,177,174,186,209,231,231,223,222,225,228,213,172,142,143,144,149,160,160,163,176,190,196,197,200,202,206,169,172,181,204,224,233,228,223,224,229,231,219,189,168,144,137,135,127,151,195,210,218,221,220,222,222,220,220,174,202,227,234,230,229,224,226,230,228,216,196,172,159,147,145,151,145,142,176,201,219,217,219,219,218,217,218,228,234,232,230,228,230,230,228,227,227,224,222,193,154,144,133,144,156,149,139,124,187,227,218,221,219,218,219,234,232,233,232,229,225,227,225,226,229,235,230,188,154,148,143,135,145,157,161,142,124,196,224,219,220,220,219,238,236,234,228,228,226,228,222,224,233,235,205,174,159,152,154,156,144,132,141,149,133,147,225,218,219,219,218,238,235,229,222,220,218,218,216,220,227,220,193,169,155,157,160,162,154,135,130,130,135,158,221,218,218,218,217,233,231,224,218,219,217,216,213,215,220,218,203,169,144,126,147,163,187,155,141,130,132,151,164,162,162,162,161,230,230,230,225,221,222,223,221,219,224,222,202,162,149,138,135,137,153,161,154,140,140,135,133,133,134,133,131,233,234,228,223,221,220,220,218,221,227,217,190,156,153,157,156,149,138,141,144,149,143,140,141,141,141,141,141,228,226,221,218,218,211,207,205,212,214,201,182,164,161,160,155,148,141,137,135,146,147,144,141,140,139,139,139,217,215,215,210,204,201,193,195,205,200,187,174,164,158,162,160,152,143,142,145,143,145,145,141,142,140,139,138,199,202,196,194,188,189,186,184,183,174,161,152,149,142,142,148,149,148,147,145,142,143,142,140,141,140,138,138,165,167,171,171,173,166,159,153,148,146,145,144,144,144,141,139,141,145,144,142,143,143,143,141,143,140,138,138,155,144,144,144,139,140,143,143,142,145,146,147,146,145,146,145,145,144,144,144,142,141,142,142,143,141,139,140,144,141,134,128,136,143,145,147,147,147,147,146,146,146,145,144,145,145,145,144,142,140,141,141,140,140,139,140,135,125,123,128,140,147,146,146,147,148,146,146,145,146,146,144,144,145,144,143,143,142,140,141,142,140,139,139,156,148,136,133,138,146,147,147,146,146,145,145,145,145,145,144,144,144,144,144,143,141,140,141,141,139,139,139,163,145,137,134,138,145,147,147,145,145,146,145,145,145,144,143,143,144,144,144,143,141,141,140,140,139,139,140
16,56,56,57,58,58,68,79,88,97,104,111,116,118,120,122,126,130,135,139,141,145,147,149,152,154,155,158,160,55,55,57,57,58,69,79,89,97,103,112,116,118,119,121,125,130,135,139,143,145,147,150,153,155,156,159,160,54,54,56,56,58,69,79,89,95,103,111,116,118,117,121,124,127,133,137,141,143,146,148,152,154,156,158,160,53,54,57,56,58,70,78,88,97,105,111,115,117,117,117,126,131,132,136,141,143,146,147,151,155,156,158,160,54,53,56,56,59,69,79,88,96,101,108,109,131,136,109,95,115,137,142,139,142,146,150,152,155,156,159,161,54,53,54,54,58,69,78,89,92,111,119,134,152,133,110,88,68,80,116,144,148,147,149,151,155,157,159,160,52,53,54,53,57,67,79,79,110,161,149,150,139,113,96,93,76,57,49,81,125,144,153,155,155,156,158,160,52,53,54,53,56,68,75,83,157,156,137,129,121,105,89,75,74,67,54,49,54,76,102,129,152,161,158,160,51,52,53,52,56,65,74,152,157,125,118,112,101,92,75,65,68,73,60,58,53,49,49,57,86,132,160,164,50,51,54,51,56,53,114,162,123,112,104,91,80,69,63,63,57,79,67,64,59,53,49,48,46,58,98,146,45,45,46,45,47,99,128,118,107,100,83,71,63,56,61,50,49,76,75,82,62,57,49,47,49,49,45,65,89,84,86,80,107,147,111,101,95,78,64,58,49,52,56,30,52,78,82,84,67,61,49,47,45,48,51,45,81,85,84,83,164,147,115,88,69,61,55,44,41,52,37,17,64,79,83,86,71,64,52,51,45,46,48,48,78,82,66,112,167,135,100,70,46,44,37,32,42,36,8,16,68,77,81,95,85,75,59,53,44,44,47,45,86,82,89,158,142,115,75,51,35,40,26,16,12,4,0,4,65,73,87,109,101,84,71,47,42,46,45,42,88,74,133,141,110,84,54,38,32,34,11,0,0,0,0,0,54,74,93,118,91,88,78,42,41,43,42,40,79,102,151,116,77,53,40,34,35,34,18,0,0,0,0,0,31,67,111,109,70,89,77,39,41,38,41,40,79,148,136,90,54,31,31,37,40,41,42,25,0,0,2,4,0,87,129,86,62,81,61,38,41,39,40,37,117,137,95,58,40,57,43,42,45,47,45,39,22,24,25,11,36,134,108,68,58,58,42,38,38,39,36,34,143,93,60,30,64,82,57,65,56,53,48,40,36,36,31,17,111,127,88,58,47,40,35,39,37,35,37,41,103,61,31,50,79,62,61,61,59,53,49,41,35,33,16,59,145,111,72,45,37,32,33,35,32,36,43,43,64,36,52,84,84,79,77,62,52,46,50,37,36,48,52,118,146,113,54,35,32,35,36,34,36,41,40,40,69,69,83,84,86,86,85,84,77,73,78,74,77,86,80,146,149,118,50,21,28,40,38,37,38,39,41,41,87,85,83,83,85,85,85,86,86,87,86,87,87,86,82,148,153,122,62,28,68,52,48,44,42,44,43,43,84,82,83,84,85,85,85,85,84,84,86,86,86,88,78,125,140,110,54,71,111,62,57,56,55,53,46,44,83,84,82,84,86,84,83,84,85,86,85,86,87,89,82,95,117,81,51,78,119,100,68,61,65,66,57,47,84,84,83,83,85,85,84,84,85,85,84,84,87,86,85,85,91,67,65,80,100,132,98,85,81,80,70,60,83,83,84,84,85,85,84,85,85,85,85,85,87,87,87,87,87,86,87,83,84,143,120,105,96,89,80,69
18,222,222,222,222,222,223,224,224,224,224,224,224,224,223,223,222,223,223,224,223,223,222,220,219,218,217,216,214,222,223,223,224,224,224,225,225,225,225,224,224,224,223,224,224,224,224,224,223,222,221,221,221,219,218,217,217,224,224,225,225,225,226,225,225,225,225,225,225,225,225,225,224,225,226,224,226,222,221,221,221,220,218,218,218,226,226,226,226,227,228,227,226,225,224,226,226,227,225,225,226,225,232,219,215,226,223,222,222,220,220,219,218,226,226,228,228,227,228,228,229,227,226,227,227,224,227,228,227,225,249,221,186,213,226,224,223,223,223,221,219,228,229,229,229,228,229,228,229,229,229,230,227,241,242,215,223,250,255,240,198,200,222,221,225,223,222,221,221,229,229,230,229,229,230,230,231,228,230,229,242,255,244,211,195,235,250,254,242,243,232,193,192,224,221,221,223,230,230,230,230,231,231,232,229,234,253,223,237,255,237,217,188,233,232,255,254,253,240,194,153,208,226,223,224,231,231,231,232,232,231,228,235,255,255,220,196,255,234,210,193,245,221,223,248,255,236,188,146,180,229,223,223,230,230,231,232,230,233,228,255,255,255,225,196,255,240,208,192,248,233,194,251,255,238,180,143,168,233,225,225,233,232,232,232,234,229,247,255,255,255,230,193,255,247,210,196,254,230,201,255,255,236,176,137,182,235,224,225,234,235,235,235,234,234,255,253,255,255,236,195,249,243,208,186,234,214,200,255,255,228,171,135,209,233,226,227,235,236,235,236,234,255,255,248,246,252,231,189,219,228,203,161,184,178,221,255,253,214,165,150,232,229,229,228,236,236,236,234,243,255,254,222,227,221,192,159,185,205,173,126,196,230,254,255,241,204,155,189,238,229,230,229,237,238,239,235,247,255,255,224,206,203,171,139,200,202,150,208,255,255,249,237,228,193,154,222,236,231,230,230,238,239,241,234,255,255,255,234,197,189,173,132,214,191,226,255,255,255,233,213,212,176,153,231,234,234,232,231,238,239,241,237,255,255,255,240,219,193,183,172,167,224,255,255,255,251,220,196,191,154,180,243,233,235,233,233,240,241,240,243,255,255,255,246,231,205,194,194,218,255,255,255,255,236,203,183,176,137,204,243,235,235,235,234,241,241,239,246,255,255,255,255,243,216,212,229,255,255,255,255,253,221,190,175,153,159,235,238,237,236,236,235,241,242,239,247,255,255,255,255,251,233,226,245,255,255,255,254,244,210,181,168,138,212,245,237,238,236,237,235,240,241,239,244,255,255,255,255,253,238,232,241,255,255,252,250,220,200,170,147,158,242,239,239,237,238,238,235,241,241,241,243,255,255,255,255,249,237,235,237,255,250,239,240,209,183,157,131,205,246,238,239,237,238,237,238,242,242,241,243,255,255,255,255,242,231,232,237,247,235,228,227,206,165,140,148,240,240,238,239,240,238,237,245,241,243,240,244,255,255,247,244,232,223,225,230,245,230,220,212,184,148,121,199,249,240,241,239,239,238,238,202,244,245,244,252,255,255,249,246,236,235,226,229,251,219,199,185,157,119,150,244,241,241,240,241,244,248,194,139,200,193,182,219,255,255,255,249,249,254,224,227,245,200,176,159,124,123,233,244,241,241,245,241,220,187,148,138,159,158,152,156,162,163,166,169,176,192,181,195,203,174,154,135,104,205,253,249,248,248,217,170,147,135,130,123,176,149,149,151,145,141,134,129,119,114,114,117,118,112,108,106,101,128,147,171,214,213,140,141,144,139,131,122
5,155,156,156,156,157,158,158,158,160,162,161,162,163,163,162,166,163,162,162,162,162,161,161,162,160,159,158,160,158,158,159,160,161,162,162,162,162,162,164,163,164,165,169,147,164,164,163,164,163,162,161,163,163,160,166,133,162,162,163,164,163,164,165,165,165,165,166,169,167,169,185,102,154,169,166,166,164,166,165,163,163,167,145,74,164,165,166,167,167,168,168,169,169,169,169,166,165,190,166,101,165,170,168,168,175,137,157,166,165,159,85,65,168,169,169,170,171,171,171,172,173,169,189,136,146,204,127,132,180,170,169,168,156,105,157,169,173,127,63,75,171,172,173,174,174,175,175,174,175,169,202,141,148,189,109,165,176,175,161,157,114,129,174,170,169,98,73,92,175,176,176,177,178,178,178,177,178,174,202,148,152,162,116,183,178,161,154,121,118,176,175,174,166,89,85,90,178,179,179,179,180,180,181,181,181,179,197,144,143,131,139,188,155,145,133,110,174,179,177,176,178,113,88,90,181,182,182,182,183,183,183,184,183,181,206,156,122,111,170,152,124,124,104,163,187,179,180,179,181,128,86,86,183,184,185,185,186,186,186,185,185,185,209,168,120,121,160,120,113,96,155,190,182,182,181,180,184,148,81,70,186,186,186,187,188,188,187,187,188,188,202,159,120,120,123,119,103,133,198,186,185,185,182,182,185,170,80,66,187,188,189,189,190,189,190,190,191,189,195,172,120,107,106,120,103,170,190,182,193,187,185,186,188,177,138,134,189,190,191,192,192,192,192,191,192,191,196,188,137,102,99,106,116,178,138,136,168,193,191,187,185,189,136,167,190,191,193,193,194,193,193,193,194,194,194,196,153,109,103,101,114,122,125,150,151,161,181,191,192,191,135,197,193,193,194,194,196,195,195,196,196,196,198,207,178,131,104,106,102,114,118,134,167,165,162,171,174,169,177,157,195,196,196,196,198,198,198,198,197,197,200,213,194,148,109,102,111,105,97,123,143,144,159,164,146,139,160,132,196,197,197,198,199,199,199,199,200,200,200,217,203,155,114,97,108,97,132,195,186,173,154,151,178,169,125,138,198,198,199,200,200,200,200,201,202,202,201,220,206,160,120,96,94,120,212,200,203,196,168,182,171,131,164,190,199,199,200,201,202,201,202,202,203,201,201,223,206,163,126,97,78,126,188,208,196,159,169,164,117,156,206,195,200,201,202,202,203,203,203,203,203,203,202,225,204,161,126,93,86,105,108,176,153,158,166,120,126,202,199,197,201,202,203,203,204,204,204,204,205,202,209,225,198,161,126,92,91,111,114,115,134,158,131,133,198,201,200,200,202,203,203,204,204,205,205,205,207,198,210,223,195,160,127,97,94,114,119,130,135,130,128,201,204,201,201,200,203,204,205,205,206,206,206,206,208,199,211,220,192,158,125,98,99,121,125,130,120,116,194,208,202,204,202,201,204,205,206,207,207,208,208,208,206,199,216,213,188,156,123,98,98,121,128,126,108,178,213,202,205,204,204,203,204,206,207,207,208,208,208,212,201,204,225,209,184,149,121,102,98,122,131,111,136,216,207,207,208,206,205,204,206,207,208,208,209,209,209,212,195,222,223,203,179,149,119,103,105,127,124,101,183,214,209,210,208,208,206,204,207,208,208,209,210,209,212,201,205,228,214,200,183,147,116,105,109,125,106,143,217,208,210,209,208,208,207,206,207,209,209,209,210,211,210,196,216,214,209,196,168,130,111,102,112,114,128,208,213,212,211,210,209,208,207,206
17,143,144,145,148,151,153,154,156,157,157,158,160,161,162,164,165,165,165,166,166,167,167,167,167,166,167,168,167,144,145,147,150,152,153,154,157,158,158,160,161,162,164,164,166,166,166,167,167,168,168,169,169,169,170,170,169,145,146,150,152,154,155,156,158,159,160,162,162,163,165,166,166,167,168,168,168,170,169,170,170,170,171,172,171,146,148,151,153,154,156,158,158,160,162,163,163,165,166,167,167,169,171,170,170,173,170,170,172,171,172,172,172,146,148,151,153,155,157,158,159,161,162,164,165,166,167,168,170,171,170,167,174,171,171,173,173,172,173,173,172,146,149,151,153,157,158,159,160,162,162,165,167,167,167,170,170,170,174,153,131,132,126,177,173,174,174,174,174,148,150,152,154,156,159,160,162,163,165,166,167,167,169,171,171,170,180,176,114,85,105,177,174,175,175,175,175,149,150,153,156,158,159,161,163,165,168,168,169,170,171,171,172,172,180,184,134,78,112,185,174,176,175,174,175,150,151,153,157,158,159,162,164,166,166,168,170,171,168,175,174,173,177,191,153,88,131,186,175,176,176,175,177,150,152,155,158,159,161,164,164,165,167,168,167,173,155,138,178,174,178,191,152,103,160,182,178,178,177,176,177,150,153,156,158,160,162,164,164,166,167,169,171,179,165,120,129,177,191,187,146,106,169,182,179,179,178,178,177,151,153,156,158,161,162,165,165,166,171,161,141,173,181,166,148,126,155,179,148,105,168,184,180,179,179,178,178,151,154,157,159,161,164,166,165,170,194,160,112,153,179,193,180,132,90,143,141,106,167,185,181,179,179,180,179,152,155,158,160,162,165,167,164,180,166,170,143,142,128,165,195,163,100,104,125,101,165,185,181,179,180,181,180,153,156,159,161,163,164,167,164,188,156,128,132,102,70,110,210,180,122,88,103,92,165,186,181,181,181,181,180,154,156,158,161,163,165,168,169,185,146,115,131,109,96,110,206,193,144,90,94,86,162,187,182,182,182,181,181,154,156,159,162,164,167,167,175,189,164,149,138,118,139,125,195,198,154,103,90,87,156,189,181,183,183,182,182,154,156,160,163,164,167,165,184,181,146,140,133,129,148,172,195,179,161,112,85,84,158,189,181,184,184,183,183,155,157,160,162,166,168,167,192,170,143,133,134,142,161,217,193,161,150,110,80,77,160,190,183,184,184,184,184,157,158,159,163,166,168,167,198,173,151,136,136,145,199,209,190,159,139,105,80,78,170,188,185,184,184,184,184,156,158,160,164,165,167,171,202,175,160,138,137,170,214,195,183,150,133,100,77,95,189,184,185,184,184,184,184,155,158,162,165,167,165,178,203,176,167,152,138,189,211,190,181,143,122,97,71,132,194,183,185,184,184,183,183,156,158,162,165,169,167,183,209,179,176,167,147,192,200,183,176,145,110,91,80,172,188,185,186,186,186,185,185,156,159,163,166,168,167,179,213,186,181,174,156,178,193,180,169,140,108,79,116,195,184,185,186,187,187,185,185,156,159,163,167,169,169,174,210,194,177,167,165,169,184,175,177,136,103,76,147,194,183,185,186,186,185,185,186,157,159,164,167,169,172,171,205,189,176,161,163,172,172,173,179,137,101,80,165,192,186,187,187,187,186,187,187,157,160,163,165,168,170,174,204,187,177,162,162,172,170,173,170,129,97,100,188,188,188,188,188,188,187,187,187,157,158,161,165,169,169,178,206,197,178,167,170,177,164,170,157,118,87,141,196,186,188,187,187,188,188,188,187
23,147,149,151,155,160,165,168,171,174,176,178,180,182,184,185,186,187,187,187,187,186,186,186,185,184,184,183,183,147,150,152,156,161,165,169,171,174,177,179,181,183,184,186,187,188,187,187,187,187,187,187,186,186,185,185,184,148,150,152,157,162,166,170,172,175,178,180,182,185,186,187,188,189,188,188,188,189,189,188,187,187,187,186,185,148,151,153,158,163,167,171,174,176,180,182,184,186,188,188,189,189,189,189,190,190,188,188,188,188,187,187,186,149,152,154,159,164,169,173,176,178,181,183,185,187,188,190,191,191,191,191,190,186,176,172,178,185,187,188,187,151,152,155,160,166,171,175,177,180,182,185,186,187,189,191,192,193,192,190,188,181,168,163,161,167,171,187,189,151,153,155,161,166,171,175,178,180,183,186,188,189,191,192,193,195,194,183,183,171,149,157,151,136,139,181,190,152,155,158,162,167,172,176,179,182,185,187,190,192,193,194,196,198,189,160,149,134,117,138,134,129,155,187,191,153,156,159,163,168,173,177,180,184,186,189,191,192,194,195,200,198,183,136,106,132,157,178,176,178,188,193,193,155,157,160,164,169,174,177,181,184,187,189,191,192,194,196,202,196,182,140,127,177,186,189,194,195,195,194,194,155,157,161,165,170,175,179,182,185,188,190,192,193,192,192,194,189,185,169,167,181,164,151,182,197,196,195,195,156,158,162,167,172,177,181,184,186,189,192,195,195,185,178,177,183,186,185,188,180,151,111,157,197,197,196,196,157,159,162,167,173,177,182,184,186,190,193,199,196,177,160,157,166,169,167,170,162,140,101,143,197,198,197,197,158,159,162,168,174,178,182,185,188,191,195,201,193,168,144,140,160,171,167,159,145,129,99,136,196,200,199,198,159,160,163,169,175,179,183,186,190,192,199,205,193,169,149,145,153,162,165,165,151,120,88,130,196,201,200,199,159,160,164,170,176,180,184,188,191,194,204,208,197,181,173,169,160,146,137,140,136,108,77,129,197,202,200,200,159,161,165,171,177,181,185,189,192,198,209,209,196,181,175,168,172,159,138,122,103,83,73,125,184,202,202,201,159,161,166,172,177,181,186,189,195,207,213,209,187,164,154,142,162,168,147,116,86,70,86,122,151,193,202,202,160,162,166,172,177,182,186,191,205,217,213,198,165,130,117,109,124,157,153,110,76,69,90,105,100,147,197,203,161,163,167,172,178,183,188,201,218,219,205,183,155,118,87,91,120,168,159,103,71,68,86,86,68,90,175,204,162,163,167,173,178,183,197,217,221,212,194,174,152,117,80,95,137,162,137,86,64,66,82,79,65,77,160,203,162,164,167,173,178,188,214,224,217,201,184,171,148,111,73,70,95,110,96,67,60,74,83,77,73,107,179,204,162,164,168,174,181,202,224,222,210,193,178,164,138,106,76,59,66,76,77,69,66,80,86,91,122,173,203,206,161,163,167,173,192,219,222,214,201,183,168,152,126,98,74,69,82,89,87,80,72,81,110,151,190,205,207,207,161,159,146,148,202,223,212,201,186,170,156,138,113,89,72,80,94,96,89,81,90,128,177,201,208,208,207,207,160,151,102,91,174,209,200,187,170,156,142,125,102,83,74,85,91,85,78,102,155,194,208,209,209,208,208,207,158,130,74,60,101,153,173,167,156,144,132,115,93,74,69,78,78,77,108,167,203,210,210,210,209,208,208,208,150,101,58,52,59,84,118,135,136,130,119,105,81,58,55,63,72,109,171,206,211,211,211,211,210,209,208,208
8,93,102,106,112,118,123,126,130,133,136,140,141,143,144,145,146,147,147,147,147,148,148,147,147,147,147,146,146,97,104,109,116,122,127,131,132,139,141,144,146,147,148,149,149,149,150,150,150,150,149,149,149,148,147,147,146,103,109,114,121,128,133,136,156,129,145,150,151,153,153,154,153,153,154,156,155,154,153,153,152,151,150,149,148,105,114,117,125,133,137,143,180,101,131,161,157,158,159,159,160,159,159,160,159,159,157,157,156,155,154,154,151,108,117,121,129,136,140,152,195,96,117,170,162,165,166,166,166,166,165,164,164,167,165,161,162,160,160,160,157,113,120,124,132,141,144,157,203,95,115,176,167,170,172,173,171,170,172,175,174,158,164,171,167,166,166,165,162,117,123,128,137,145,148,158,200,103,114,181,172,175,172,171,179,192,133,132,202,155,106,164,175,172,172,171,167,121,126,133,141,148,154,163,207,118,106,184,176,187,193,130,162,204,142,95,163,170,113,113,183,177,177,175,173,124,129,138,146,154,158,168,209,140,112,177,180,214,225,195,182,158,151,163,187,129,84,86,165,185,180,179,178,126,132,141,151,158,162,168,210,169,144,167,201,213,214,218,171,155,160,168,170,136,85,46,139,195,182,183,182,130,136,145,154,162,168,169,205,177,167,191,206,179,154,225,176,148,162,139,124,150,110,48,151,197,186,186,185,133,138,148,157,164,172,172,201,198,174,195,202,184,122,164,199,115,88,81,135,170,127,75,174,197,191,190,187,136,142,151,162,168,175,175,201,219,152,182,175,165,145,131,190,124,54,39,179,191,150,84,135,206,193,194,191,139,144,154,164,171,177,178,200,228,148,131,170,126,129,125,165,150,103,45,152,217,172,105,77,196,200,196,194,141,146,158,167,173,180,183,197,225,183,105,130,132,115,136,160,167,106,150,211,199,173,117,60,160,210,198,198,141,149,161,169,177,183,187,197,233,207,138,99,150,121,162,204,169,148,212,217,176,135,110,69,162,214,201,200,144,152,163,171,178,184,191,195,233,216,166,111,118,132,170,216,203,225,223,191,163,121,89,78,196,209,204,207,148,153,166,175,180,186,192,197,233,226,190,141,110,133,159,219,220,229,218,182,143,110,67,116,230,220,216,195,147,154,167,175,182,188,194,198,230,232,203,162,131,137,151,208,226,223,201,166,129,100,60,176,196,141,101,56,148,155,167,177,184,189,196,197,224,231,213,174,157,145,146,187,223,218,188,149,117,89,63,83,46,26,29,35,149,156,168,179,185,191,197,199,216,225,219,187,173,165,133,169,202,210,179,135,109,81,46,18,26,29,24,38,150,159,171,180,187,193,198,202,207,222,221,200,180,176,129,162,179,199,166,126,99,74,34,18,20,35,17,24,150,158,172,180,187,193,199,204,201,213,218,202,185,170,130,133,172,170,152,111,89,56,32,20,5,28,31,15,148,158,171,180,186,191,197,203,204,200,216,204,187,162,132,110,155,153,134,103,82,26,13,36,7,10,32,24,150,160,172,180,186,191,197,202,209,198,223,217,191,163,134,108,129,146,119,95,66,2,0,27,27,3,18,29,151,161,173,181,187,193,198,204,208,200,219,213,181,155,135,110,116,128,111,82,50,15,0,7,32,18,4,25,151,161,174,181,188,193,198,203,209,191,223,191,160,161,144,117,108,115,112,69,27,34,0,0,22,31,9,12,147,157,166,175,182,190,196,203,201,155,236,194,173,180,155,119,102,108,108,52,5,34,3,0,10,31,21,11
22,119,126,130,133,140,145,149,153,155,159,160,161,165,166,165,166,166,166,164,164,164,163,161,161,159,158,157,156,120,127,131,134,141,146,151,153,157,159,160,167,166,167,168,168,166,168,171,166,166,166,164,162,160,160,159,158,122,130,133,137,142,147,153,157,158,176,148,129,172,168,170,168,172,154,147,171,166,167,165,167,167,161,160,159,123,132,135,138,143,150,155,158,157,195,153,94,172,170,171,169,182,140,90,170,169,167,170,151,148,166,162,161,125,132,135,139,146,151,156,160,159,198,163,94,170,172,172,174,177,127,88,176,170,171,174,122,91,168,164,163,126,133,137,141,147,152,157,162,159,196,174,98,166,176,174,176,171,112,109,182,168,176,170,112,100,174,165,165,126,134,137,142,149,155,160,163,160,200,190,108,155,180,174,169,163,98,134,182,175,182,152,84,141,176,167,166,127,136,138,143,150,157,160,165,161,199,187,107,145,185,174,164,148,84,153,179,187,183,128,95,175,170,168,168,129,137,140,145,151,158,162,167,164,197,185,108,129,188,173,174,153,82,167,184,181,155,103,134,180,171,170,170,130,139,141,146,153,159,163,168,166,191,202,137,119,186,171,174,134,92,189,201,179,120,88,173,175,174,172,171,132,139,142,147,154,160,164,168,171,182,202,140,103,183,154,155,91,112,211,199,171,96,121,187,174,175,174,173,133,140,142,148,156,162,167,170,172,175,202,128,70,143,139,154,142,174,198,179,143,80,169,182,177,176,175,173,134,140,144,149,156,163,168,170,182,154,156,118,92,149,161,161,185,185,180,154,89,112,189,178,179,177,175,175,135,141,144,150,156,163,168,174,191,154,134,121,130,132,144,169,173,173,170,119,79,174,184,180,180,179,177,175,136,143,145,151,159,167,167,184,197,166,174,161,151,98,72,138,156,167,140,86,119,197,181,182,182,181,179,177,137,144,146,153,160,167,168,190,210,174,160,163,152,131,99,67,109,120,96,73,144,196,183,183,183,182,179,179,137,144,147,154,161,166,168,202,202,164,107,100,145,155,137,100,64,72,78,67,170,193,187,185,185,183,181,179,138,144,147,154,163,167,171,207,202,164,106,60,99,162,152,130,97,72,63,67,182,191,189,187,186,184,181,181,138,145,148,155,162,169,171,209,221,168,176,87,120,194,166,136,119,96,55,49,173,195,189,187,186,185,183,182,139,145,148,156,162,170,172,211,219,168,159,93,166,212,175,142,124,98,52,42,172,197,188,188,186,186,186,183,140,145,148,155,163,170,171,210,221,169,147,155,205,182,173,137,111,87,46,59,189,193,188,188,188,188,186,183,139,145,147,154,163,170,169,203,215,185,153,179,214,165,153,155,106,81,38,94,203,188,188,188,187,187,186,183,139,145,147,156,163,171,171,197,212,194,154,184,207,166,150,150,117,70,33,128,204,188,189,188,187,188,186,183,140,145,148,156,164,172,172,190,206,197,157,169,195,162,145,137,102,59,36,164,200,191,191,189,188,188,187,185,139,145,148,155,163,170,176,171,205,190,159,142,166,138,120,108,73,41,65,196,191,191,190,187,186,185,185,184,141,147,149,158,166,174,180,62,139,189,122,112,126,125,104,79,61,41,141,211,198,199,197,195,193,193,192,190,118,122,123,126,128,136,112,41,43,112,117,124,129,140,120,80,61,53,132,141,137,137,138,138,138,138,137,137,96,96,95,97,97,90,51,45,46,39,98,125,125,133,117,74,42,31,85,86,83,83,82,81,80,80,70,54
23,96,101,104,109,113,116,119,123,125,128,128,132,132,133,134,137,137,138,141,141,143,146,146,146,146,147,147,148,97,102,107,111,115,118,120,123,126,129,130,131,134,135,138,139,140,141,144,148,145,147,147,147,148,147,148,150,99,104,107,112,117,119,121,124,127,129,131,133,137,137,135,139,131,137,141,115,141,149,148,150,150,150,152,150,100,104,109,113,118,120,122,125,128,129,132,135,135,135,146,146,128,116,88,40,142,152,150,153,151,152,153,153,103,107,110,114,119,121,123,128,129,132,135,132,137,147,154,127,65,64,53,110,155,150,151,154,153,153,154,153,103,108,111,115,119,121,124,129,129,134,132,143,161,135,121,56,63,121,148,158,151,153,155,154,155,156,155,156,103,108,113,115,120,122,126,130,131,135,129,161,167,94,43,88,154,83,122,156,150,155,157,155,157,157,156,157,104,108,114,117,121,124,125,128,132,136,131,164,172,107,120,184,139,79,81,166,155,155,157,156,157,158,159,159,103,110,114,118,122,124,126,130,133,137,136,172,164,162,181,149,117,129,98,121,136,156,156,157,158,159,159,160,104,110,114,119,122,124,128,133,135,137,139,168,158,167,154,152,153,141,96,33,47,138,162,159,160,160,160,161,106,112,116,121,122,125,129,134,136,136,143,150,144,149,153,146,136,127,73,17,5,84,176,159,160,161,161,161,106,112,116,121,124,126,128,133,134,149,154,138,132,145,143,136,132,109,58,19,11,28,104,167,160,160,160,160,105,111,116,120,124,126,129,133,138,184,164,141,148,133,124,111,84,86,62,20,3,32,29,114,171,160,161,160,106,111,118,122,125,127,130,135,135,177,177,160,151,113,76,24,24,104,61,17,0,32,32,104,173,161,163,162,106,112,118,121,125,129,130,136,137,167,173,153,133,114,77,7,30,107,55,13,12,41,48,155,166,163,163,164,107,113,118,123,126,128,130,135,136,169,174,142,161,110,25,0,62,49,3,2,43,46,91,173,163,165,165,166,107,113,119,124,126,128,131,135,135,167,167,155,151,95,29,0,2,0,0,15,52,51,149,166,164,164,164,165,108,112,119,122,126,128,132,137,137,167,163,164,147,94,47,0,0,0,32,45,40,86,172,162,165,165,164,164,109,115,119,122,126,129,133,137,138,169,163,165,145,91,55,0,0,36,56,62,39,135,172,165,166,166,165,164,110,115,120,124,128,130,134,136,141,170,166,163,138,92,57,1,12,49,61,50,76,173,163,167,167,166,166,166,111,115,120,125,128,130,133,136,142,171,162,152,128,88,55,9,20,56,62,39,116,176,164,167,168,168,167,167,110,114,121,126,127,131,136,136,147,171,150,141,122,84,56,28,23,57,55,41,152,168,165,167,167,168,167,168,110,115,120,126,128,131,135,136,148,168,146,137,116,88,64,37,27,54,40,78,175,164,167,168,168,169,170,170,111,116,121,126,128,130,137,136,152,168,148,141,117,93,71,43,31,42,40,147,170,167,168,169,170,171,171,170,110,116,121,127,127,130,138,135,159,170,147,136,117,100,69,43,35,27,110,173,164,168,168,169,170,172,171,171,110,116,122,127,130,134,136,138,168,161,145,128,114,94,52,44,27,101,173,165,168,167,168,169,171,172,172,171,111,116,122,127,130,136,133,156,172,154,141,117,94,74,52,32,76,174,165,167,167,168,169,169,171,172,172,172,111,117,123,127,128,134,131,166,161,152,134,109,84,72,51,30,145,171,165,168,168,169,171,170,171,172,172,172
8,174,177,179,181,183,182,185,186,186,185,186,186,187,185,184,184,182,182,181,180,179,178,177,176,175,175,174,172,176,179,181,177,166,186,187,187,186,186,186,187,187,186,186,185,185,183,182,181,180,180,180,178,177,176,175,173,178,179,189,176,122,178,189,189,187,187,187,188,189,188,187,187,185,184,185,184,182,182,182,180,179,178,177,175,179,181,192,187,112,155,193,191,191,190,189,190,189,189,189,188,187,186,186,185,183,183,183,180,180,179,177,177,179,183,189,200,117,140,196,192,193,191,191,190,191,190,190,188,187,187,187,186,185,183,183,182,182,180,179,179,181,185,187,194,122,127,199,194,195,194,195,192,193,194,193,191,189,190,188,187,187,185,186,185,183,183,181,179,183,187,188,202,155,115,195,197,193,181,180,196,190,172,181,195,194,192,190,189,188,186,187,186,186,185,183,181,185,187,187,205,171,104,182,197,211,186,144,172,203,153,124,180,177,187,193,190,191,189,188,188,187,185,184,182,186,189,190,201,178,124,150,202,226,219,167,120,199,168,163,125,125,126,187,194,192,192,189,190,189,186,184,182,189,191,192,200,205,154,137,193,218,228,190,113,158,171,180,163,147,133,146,186,193,193,191,192,190,187,185,185,190,192,193,196,210,155,148,181,188,217,195,123,121,162,145,188,193,193,161,116,188,193,191,191,191,189,186,185,190,193,195,196,209,190,168,194,186,189,197,125,97,141,94,163,182,196,168,101,177,196,192,192,192,191,189,187,192,195,197,197,219,213,161,159,179,159,197,155,94,118,89,129,179,201,173,102,176,198,193,193,193,193,191,188,193,196,198,198,216,193,141,139,148,133,178,191,116,94,81,137,198,213,177,102,177,199,194,195,195,194,193,190,195,197,199,198,217,213,170,138,128,124,140,153,121,103,80,150,205,214,174,102,178,200,197,197,197,195,194,191,194,198,200,198,221,220,185,146,124,122,121,169,166,126,142,186,202,201,156,93,166,203,198,197,197,196,194,191,195,198,200,200,225,219,190,162,127,111,134,188,191,192,200,193,176,166,128,86,156,205,200,198,198,197,195,192,194,198,201,201,229,219,196,176,148,114,130,182,217,223,213,187,155,130,108,86,184,203,201,199,197,197,195,193,196,199,202,203,230,221,199,180,162,128,130,193,228,224,205,177,137,107,83,126,206,202,201,200,199,197,195,194,198,200,204,204,226,224,207,188,174,141,141,208,225,212,182,157,119,89,84,191,205,203,202,201,200,199,197,195,199,201,205,205,220,227,212,194,183,151,147,212,212,188,160,133,104,73,145,211,204,204,204,201,201,200,199,197,199,201,204,206,216,228,216,197,179,150,150,199,198,175,149,118,89,91,200,207,205,204,202,201,201,200,199,197,197,200,202,204,216,231,214,192,166,136,155,184,170,160,142,109,72,158,211,204,204,204,203,200,200,200,198,197,199,202,205,201,220,227,205,183,154,143,159,171,150,139,132,86,106,207,206,205,206,205,202,201,201,199,198,197,199,202,206,199,231,224,205,187,164,158,163,158,140,129,109,87,186,210,206,206,205,205,203,203,201,199,202,198,199,201,202,209,233,219,206,189,167,169,160,138,131,113,83,154,211,207,206,206,205,205,204,204,206,200,163,111,200,203,196,218,224,200,190,178,165,164,150,121,117,90,111,206,210,208,207,206,207,208,205,185,148,99,56,42,200,203,192,225,218,186,164,155,154,164,144,105,111,76,168,213,209,209,206,199,182,164,126,77,42,29,30,34
8,168,170,170,172,172,172,175,172,173,171,171,171,170,170,169,167,166,165,165,164,162,161,160,158,155,155,153,152,170,172,173,173,174,168,157,175,175,174,173,172,172,171,170,169,168,166,166,166,165,163,161,160,157,155,154,153,172,173,175,174,179,165,96,157,182,176,176,174,172,172,171,170,170,167,167,166,166,164,162,160,158,156,156,156,173,175,176,175,180,147,87,140,187,177,177,175,175,175,173,172,171,170,169,168,167,166,164,163,160,157,157,157,174,176,178,177,181,146,79,144,189,178,179,176,176,176,174,174,174,173,171,170,169,166,165,165,162,158,158,157,176,177,178,180,181,141,72,156,187,180,180,182,181,177,176,175,174,173,175,176,168,169,167,166,164,161,160,159,178,179,181,180,183,143,71,154,189,181,182,170,179,182,179,182,176,135,110,148,147,138,173,166,166,165,163,161,180,181,182,181,186,159,83,142,193,183,164,122,113,174,147,122,141,137,100,76,127,106,174,167,166,165,164,162,181,181,182,183,186,155,76,128,198,175,157,142,104,118,136,95,87,145,123,72,89,98,157,174,167,166,165,163,181,182,184,185,186,157,101,107,195,170,165,157,119,95,137,110,94,145,113,73,66,91,101,176,169,167,166,165,182,184,186,187,186,178,144,100,180,172,160,167,126,83,128,125,88,127,102,69,53,100,79,123,178,167,167,166,182,185,185,186,187,185,150,105,149,152,136,164,129,85,107,131,79,110,136,88,53,103,82,95,181,168,169,167,183,185,186,187,188,189,157,147,138,140,113,149,130,81,83,130,83,103,157,91,66,118,74,122,183,169,170,168,186,186,188,189,189,191,185,166,133,122,115,132,132,87,71,107,79,42,91,59,85,120,69,152,179,171,171,169,187,187,188,189,190,190,189,150,118,94,90,109,145,128,70,53,53,61,51,94,133,106,77,174,175,173,172,170,188,187,188,190,192,193,186,149,125,97,82,85,152,139,90,54,100,146,138,129,138,85,92,187,173,173,171,170,187,188,191,192,192,192,192,170,139,102,86,85,126,120,83,93,149,147,148,116,104,65,117,189,174,174,172,170,186,188,193,192,193,193,191,174,142,111,90,85,115,134,135,156,166,142,135,106,78,60,164,183,177,175,173,172,187,189,192,192,194,194,190,178,149,122,100,85,120,170,179,176,161,135,124,99,50,111,191,178,178,175,174,173,188,189,192,194,195,195,187,176,155,126,101,96,135,179,170,167,149,125,111,82,60,177,184,180,178,177,175,174,189,191,192,193,195,195,182,170,162,129,107,107,145,170,168,162,136,119,102,56,124,195,181,180,179,178,175,174,190,192,192,194,196,197,184,175,166,134,117,111,150,163,167,152,125,109,80,67,184,187,183,181,181,179,177,175,191,192,194,196,197,198,193,181,172,143,122,107,146,155,151,135,111,96,50,133,198,184,184,182,181,180,178,175,190,192,195,195,196,199,195,187,170,144,123,112,136,145,134,118,97,63,77,193,188,188,185,183,182,180,177,175,192,193,195,195,196,198,197,185,163,141,125,119,125,138,124,106,82,53,171,194,187,187,184,184,182,180,179,177,193,195,195,195,196,198,197,185,164,149,140,134,123,133,118,99,55,132,203,188,188,187,185,184,181,180,180,178,191,193,196,197,198,196,194,190,170,164,147,139,129,127,104,74,80,196,192,192,189,188,186,184,181,181,179,176,192,194,197,197,199,190,185,192,174,168,144,139,129,109,93,59,134,204,191,192,190,187,187,186,183,182,181,178
20,117,119,121,122,124,127,128,130,131,132,133,135,136,135,137,139,139,138,139,140,140,140,140,140,140,140,141,140,119,120,122,124,126,128,129,131,132,133,133,136,137,137,140,127,132,142,142,140,142,141,142,142,142,142,142,142,119,121,123,125,128,129,131,133,133,133,135,137,138,137,152,111,101,123,124,146,144,144,145,144,143,143,144,143,120,123,125,126,128,129,133,133,134,135,138,139,139,139,159,115,122,126,89,144,145,145,144,144,143,144,145,143,121,123,125,127,128,131,133,134,134,136,139,140,139,140,155,115,134,138,85,138,147,145,145,145,145,146,146,144,122,124,126,128,130,132,133,134,136,138,139,139,138,145,166,125,137,142,91,137,150,147,147,147,147,147,146,146,123,125,126,128,130,132,134,136,138,138,140,142,138,153,165,123,149,144,96,133,151,147,148,148,148,148,148,147,123,125,127,129,131,133,135,137,139,140,133,135,143,154,147,118,152,140,92,129,154,148,149,148,147,148,148,147,123,125,128,130,132,135,136,137,139,143,132,94,124,164,138,112,156,131,87,132,155,150,150,149,149,149,148,147,124,126,129,131,133,136,138,137,138,149,133,106,83,138,130,112,157,128,90,140,153,150,152,150,150,149,148,148,125,126,129,132,133,135,137,143,126,128,140,131,122,94,92,100,136,123,90,144,153,151,152,150,151,150,150,149,125,127,130,133,134,133,144,161,123,99,145,150,143,111,73,72,112,113,87,146,153,151,152,152,152,151,151,151,126,127,130,132,134,135,147,136,143,120,95,121,149,134,95,73,95,93,83,150,153,152,153,153,153,151,151,152,126,128,131,134,136,133,152,130,108,104,58,60,141,155,122,78,79,85,79,148,154,153,154,154,153,153,152,152,126,128,131,134,136,136,150,126,103,100,76,73,115,167,140,97,72,80,78,149,155,154,154,153,153,152,152,152,127,128,130,134,135,136,155,151,128,107,85,94,104,166,154,118,80,70,73,149,155,153,154,153,152,153,152,151,127,129,132,135,137,136,163,144,113,100,94,106,117,167,155,128,91,64,68,148,157,154,155,153,153,152,153,152,128,130,131,135,137,137,162,140,116,109,110,108,156,178,143,125,95,63,69,151,157,155,156,155,153,153,152,153,128,130,133,136,137,139,167,146,124,117,117,120,178,174,144,120,100,66,73,155,156,155,156,155,153,154,154,153,129,131,133,137,138,139,168,151,132,113,126,141,177,163,149,121,99,67,81,160,155,155,156,155,154,154,155,154,129,131,133,136,138,139,170,157,136,124,124,152,174,152,144,116,98,64,93,162,154,155,156,155,155,155,155,154,129,131,134,137,140,138,167,158,140,143,125,155,170,151,141,119,93,63,102,163,154,155,156,155,155,155,155,154,128,131,134,137,140,138,158,164,150,155,138,145,162,145,137,119,91,62,101,164,155,157,156,157,156,156,155,154,129,132,135,138,139,139,147,164,156,157,147,139,152,142,136,118,90,63,105,163,155,157,156,156,157,156,156,156,127,131,134,138,139,140,141,161,159,149,137,139,144,137,135,130,91,64,119,163,155,157,156,156,156,157,157,156,128,131,134,138,139,141,140,160,152,140,129,131,142,135,134,130,93,68,138,161,157,158,157,156,156,157,156,156,128,131,135,137,139,141,141,159,145,137,130,128,142,137,130,127,85,79,157,157,157,158,158,157,157,157,157,156,127,132,135,137,139,141,142,162,158,150,135,132,145,131,123,121,73,100,165,156,158,158,158,158,157,158,158,158
0,162,165,167,169,171,173,174,175,176,177,179,179,180,179,180,180,179,180,180,179,178,176,176,175,174,175,174,173,163,166,167,171,172,173,176,176,178,179,180,180,181,181,181,181,180,180,181,181,179,177,178,178,175,175,176,173,165,167,171,172,173,175,177,179,179,182,183,183,182,182,183,183,180,180,181,182,181,180,178,178,178,175,177,175,166,167,169,172,172,173,177,179,180,182,182,183,183,186,184,184,184,185,180,183,182,181,179,179,177,175,179,177,166,169,171,173,173,176,180,180,183,189,185,181,174,163,183,182,161,164,184,180,181,181,183,179,180,178,179,179,166,170,172,173,175,179,180,180,179,152,167,203,163,109,113,186,144,81,139,202,183,161,138,189,180,181,181,181,168,171,173,174,176,180,178,186,187,145,98,185,186,129,72,187,152,91,69,139,150,176,95,163,191,179,182,182,170,172,174,175,178,180,177,206,205,183,107,102,195,120,80,191,148,98,37,89,117,182,144,103,166,188,180,182,172,172,175,177,182,179,192,195,190,190,119,55,173,129,91,196,153,74,74,139,88,171,173,140,102,151,189,182,173,175,177,179,182,177,207,171,164,178,87,61,169,114,98,185,132,48,94,144,54,150,202,167,109,61,188,184,173,176,179,180,178,179,214,180,165,153,58,83,161,88,88,157,112,40,93,139,66,190,212,160,89,57,187,184,174,176,179,182,179,199,205,166,158,147,74,85,137,72,67,131,98,25,98,121,115,196,175,136,45,116,200,183,176,179,181,182,179,217,208,155,109,123,74,67,137,74,53,139,74,52,146,134,153,157,127,88,42,177,191,188,176,179,180,183,181,217,205,174,135,77,20,77,170,83,60,164,143,164,151,135,106,125,98,39,95,201,187,190,177,180,181,182,186,219,194,173,156,125,65,61,102,59,68,193,189,164,139,125,79,80,80,24,148,200,188,187,177,179,182,181,195,224,196,173,157,144,99,54,74,110,185,202,184,153,128,111,69,57,52,34,186,194,188,189,178,180,183,180,200,226,202,177,159,155,117,81,88,162,210,197,174,140,115,91,55,51,17,109,205,190,189,191,180,181,183,181,200,224,207,182,162,156,129,88,95,180,212,189,166,131,102,70,47,24,52,197,192,192,190,189,180,181,183,184,193,224,209,188,168,150,129,88,132,188,198,177,160,121,84,54,36,19,162,202,193,194,191,190,178,181,185,185,192,223,207,192,174,147,124,109,165,182,166,166,147,106,63,44,9,122,208,194,195,195,195,194,181,182,188,182,195,225,211,205,175,146,135,143,179,152,146,148,126,85,53,13,77,207,196,197,197,197,196,197,181,183,186,178,213,223,213,213,180,155,143,155,168,130,140,128,100,65,28,36,194,201,199,199,198,197,196,196,182,184,181,186,222,207,210,205,165,151,150,151,133,129,130,112,84,43,25,165,206,198,198,198,198,197,196,196,180,183,177,198,197,176,192,184,148,147,148,133,123,121,102,90,52,19,144,206,195,200,197,197,197,195,195,195,181,178,175,207,179,151,153,150,137,136,138,120,108,104,83,59,26,121,200,197,199,200,198,197,196,195,195,195,185,164,191,204,157,143,133,122,121,148,136,88,96,96,62,18,119,201,197,201,201,200,199,199,198,196,196,197,174,164,216,193,138,120,128,101,112,149,110,72,98,80,25,88,199,200,199,201,200,200,200,199,199,197,197,197,157,194,213,188,134,104,113,91,115,131,92,75,86,42,41,180,199,200,202,201,200,200,199,199,200,199,199,197
23,216,218,220,221,223,223,225,227,227,228,228,230,230,231,231,231,232,232,231,231,231,230,230,230,229,229,230,230,218,220,222,223,225,225,229,230,230,230,230,232,233,235,236,235,232,231,233,232,232,232,232,233,232,233,232,233,219,222,224,225,227,227,230,231,231,232,232,234,236,235,233,234,243,255,255,246,227,228,237,233,233,235,234,235,220,222,225,227,227,228,231,233,234,234,234,236,235,243,251,255,255,255,255,247,236,225,215,176,228,236,236,236,223,224,226,227,228,230,231,234,235,233,236,234,245,255,255,255,253,250,210,181,187,179,161,187,239,237,239,238,223,225,227,229,230,232,232,234,236,236,238,230,255,255,255,222,221,184,175,215,207,201,220,243,238,238,239,239,225,226,229,230,232,232,235,236,237,238,240,231,255,255,251,190,165,196,235,246,246,247,244,240,239,239,240,240,226,228,230,232,233,236,238,237,238,239,240,238,255,255,255,200,206,251,248,255,251,228,244,241,241,241,241,242,227,230,231,233,235,237,238,238,241,243,237,250,255,255,255,181,218,255,255,255,255,186,248,252,245,243,245,244,228,231,233,234,236,236,238,241,243,246,235,255,255,255,255,228,255,255,255,255,234,171,174,203,248,247,246,245,230,232,233,236,237,238,240,242,244,244,238,255,255,255,255,255,255,255,255,253,243,253,186,129,219,252,244,247,231,234,236,237,239,241,244,245,246,242,247,255,255,255,255,255,255,255,255,255,255,255,220,142,181,255,245,249,233,235,238,240,240,243,244,246,245,248,255,255,255,255,255,255,255,255,255,255,251,236,195,146,143,221,253,248,234,236,238,240,241,243,245,247,243,255,255,255,255,255,255,255,255,255,255,253,240,248,214,140,135,174,255,250,236,237,239,241,243,245,246,248,243,255,255,255,255,255,255,255,255,255,255,254,249,252,224,149,128,190,255,251,238,239,240,243,244,246,248,251,247,255,255,255,255,255,255,255,255,255,253,241,238,231,195,152,134,228,255,253,239,240,242,244,246,247,250,252,246,255,255,255,255,255,255,255,247,221,220,213,201,194,188,151,161,255,255,254,239,241,244,246,247,248,250,253,247,255,255,255,255,255,255,255,234,188,160,143,156,195,187,146,198,255,255,255,241,244,246,247,249,250,252,254,249,255,255,255,255,255,255,252,226,200,153,72,138,197,184,146,231,255,255,255,243,244,246,249,251,252,253,255,253,255,255,255,255,255,255,255,255,185,111,110,166,186,160,155,255,255,255,255,244,246,248,250,252,253,254,255,255,255,255,255,255,255,255,255,247,186,118,133,167,153,138,187,255,255,255,255,245,247,249,252,253,253,255,255,255,255,255,255,255,255,255,255,234,196,147,121,135,146,141,205,255,255,255,255,246,248,250,252,255,255,255,255,255,255,255,255,255,255,255,255,237,193,160,115,138,157,143,223,255,255,255,255,246,248,250,253,254,255,255,255,255,255,255,255,255,255,255,255,239,195,170,134,148,161,148,246,255,255,255,255,246,248,251,253,254,255,255,255,255,255,255,255,255,255,255,255,240,200,172,145,157,159,165,255,255,255,255,255,247,249,252,253,255,255,255,255,255,255,255,255,255,255,255,255,232,196,171,152,158,147,201,255,255,255,255,255,249,251,252,254,255,255,255,255,255,255,255,255,255,255,255,248,222,188,172,161,154,153,255,255,255,255,255,255,251,253,253,255,255,255,255,255,255,255,255,255,255,255,252,231,203,184,176,169,144,198,255,255,255,255,255,255
5,157,158,158,158,159,159,159,158,158,157,157,157,156,155,154,153,152,150,148,147,147,146,145,143,142,142,140,140,162,162,162,162,162,162,161,162,162,160,159,159,158,157,157,156,155,152,152,150,150,148,146,145,143,143,142,142,166,166,167,166,165,166,166,165,165,165,163,163,162,161,158,158,153,152,155,152,151,151,150,147,146,145,142,141,169,169,169,168,168,169,169,169,168,168,167,166,165,161,160,167,125,136,158,156,154,153,151,150,149,146,145,142,171,172,173,173,174,160,169,173,171,171,170,169,169,159,145,116,93,149,160,158,158,157,155,152,151,149,148,145,175,176,178,177,188,136,143,177,176,174,172,179,165,121,103,125,153,164,164,162,161,160,158,156,154,152,150,148,180,180,181,180,185,115,140,181,179,172,176,166,123,108,161,169,169,168,165,164,164,163,160,159,157,155,152,151,184,183,183,183,173,109,161,184,176,157,145,113,112,146,124,129,128,128,128,126,147,161,161,162,161,158,156,155,187,187,187,186,160,110,179,188,174,133,105,103,162,105,93,99,117,129,130,130,127,143,127,161,163,161,159,158,190,190,191,189,169,114,164,189,168,123,103,111,125,96,92,87,94,97,88,99,106,108,110,163,165,163,161,159,193,193,193,192,172,118,149,190,161,119,97,95,102,100,77,66,61,58,62,68,74,79,139,165,168,166,163,162,195,196,196,194,170,126,111,181,152,111,80,79,88,82,63,66,73,77,91,93,116,130,126,116,161,170,166,164,197,199,199,198,165,138,131,129,129,111,90,75,68,56,61,79,73,100,132,141,158,137,126,121,121,167,168,167,200,200,201,201,195,156,149,139,115,112,96,73,69,60,63,72,107,178,186,184,179,159,162,150,120,169,171,170,202,202,202,203,203,189,158,165,157,128,89,67,61,67,65,131,185,190,189,186,161,158,156,121,148,175,172,171,204,204,204,206,205,205,184,174,172,142,103,65,60,62,88,191,195,193,191,172,141,154,132,114,175,179,176,174,205,205,206,207,207,207,203,173,181,153,114,68,61,64,98,170,187,196,182,155,145,135,92,154,183,181,179,176,206,207,208,208,209,209,208,181,185,163,123,78,64,78,83,103,122,150,142,146,134,99,126,184,185,183,181,179,208,208,209,209,210,210,209,177,190,171,128,88,66,81,84,99,121,114,121,133,107,125,186,188,186,184,182,179,208,209,211,210,210,210,211,177,194,172,131,101,70,76,84,99,117,119,98,102,112,186,193,190,187,185,183,181,212,211,212,213,212,212,212,179,195,172,136,111,77,71,86,103,114,106,81,87,179,195,194,192,189,187,185,183,214,213,214,214,214,214,212,182,190,170,141,114,81,67,88,101,103,87,77,171,199,198,195,194,192,189,186,185,215,214,215,216,215,215,213,182,179,164,138,115,82,65,86,90,86,67,131,201,200,199,197,196,195,191,189,186,216,215,216,216,217,217,213,182,176,163,136,114,82,66,80,83,75,82,192,204,203,201,199,198,196,192,190,188,217,217,217,217,218,218,210,185,178,161,136,111,80,67,73,71,70,164,206,206,204,202,201,199,196,193,191,189,217,218,218,218,220,220,206,190,181,164,140,104,74,63,63,73,160,208,208,207,205,203,201,200,197,195,193,190,217,217,218,219,220,218,201,189,180,166,135,93,68,61,98,183,210,212,209,208,207,205,202,201,199,195,194,192,216,217,217,219,218,212,191,173,175,158,123,82,68,70,189,212,210,211,209,207,206,204,201,200,199,196,194,193
4,189,190,191,191,191,190,189,189,188,189,189,187,186,186,187,185,182,182,182,180,178,179,178,177,177,175,173,171,192,192,192,193,193,192,190,189,189,190,188,187,188,185,186,187,186,186,183,182,181,180,179,178,176,177,176,173,193,195,195,195,193,192,192,192,192,190,189,189,187,186,187,188,184,185,185,181,180,181,180,178,176,177,178,175,195,196,195,197,196,195,195,195,194,195,192,191,191,194,190,188,190,187,183,183,182,182,181,179,179,178,178,177,198,197,197,197,197,196,195,192,188,178,185,193,164,155,184,184,167,169,190,184,186,181,180,181,179,180,179,178,199,199,198,199,198,197,199,206,174,153,103,126,158,104,78,154,149,87,113,201,188,189,182,183,181,181,180,177,200,201,199,200,199,194,213,220,182,141,79,52,143,103,39,113,143,85,43,92,117,140,186,183,184,182,180,179,202,202,202,201,196,206,220,188,194,118,61,58,136,84,32,108,132,74,52,14,52,45,103,192,181,182,180,180,203,203,203,203,199,209,219,173,191,121,104,52,144,132,28,96,167,109,53,19,50,39,56,192,181,184,184,180,204,203,204,205,201,207,208,149,178,179,150,57,179,173,30,95,224,138,55,26,102,74,81,195,183,186,185,183,204,204,205,205,199,217,235,196,156,169,110,56,180,143,22,80,207,126,53,62,142,132,73,178,189,186,186,183,205,204,203,206,203,229,219,187,152,114,67,35,81,62,81,179,136,125,136,123,134,123,62,111,201,184,187,184,206,206,209,208,209,223,195,162,125,97,83,67,39,25,102,211,148,137,158,143,138,119,100,67,175,192,185,186,207,206,209,204,214,244,217,187,154,94,63,55,50,55,47,138,151,130,148,137,113,151,146,72,117,202,183,187,207,207,210,207,219,244,218,196,146,86,71,59,48,50,58,86,97,111,135,70,114,181,162,107,64,195,188,187,211,211,213,208,227,243,221,198,136,84,83,62,52,59,80,96,108,140,158,136,131,179,174,116,43,160,198,188,211,212,212,208,230,240,222,172,132,100,82,66,47,90,139,173,184,189,175,186,148,124,139,103,41,112,204,186,212,213,213,209,228,240,216,171,146,91,75,88,129,182,196,196,183,181,160,144,151,99,95,86,53,76,203,185,213,214,213,213,232,237,212,176,154,118,116,150,182,201,192,191,178,165,150,130,131,101,82,81,60,55,201,189,213,213,215,210,215,236,216,186,172,134,135,173,171,208,189,181,169,161,145,124,111,93,75,74,31,94,205,189,215,216,220,104,69,104,165,202,167,136,123,165,164,180,177,167,170,149,118,105,97,73,58,30,60,194,195,193,215,229,181,44,50,37,44,64,64,60,72,120,146,161,165,161,151,125,99,94,74,57,23,41,184,202,196,196,217,228,101,46,46,46,46,1,0,11,8,16,44,79,113,150,136,115,93,72,52,18,38,180,204,195,198,197,234,168,42,51,42,41,44,30,0,0,9,6,2,0,4,38,71,81,63,40,8,52,186,208,198,200,199,198,224,85,43,42,32,31,39,37,0,0,2,6,1,0,0,0,0,11,11,0,86,201,209,201,203,201,200,199,148,43,52,32,26,32,38,26,0,0,0,0,0,0,0,0,0,0,0,64,231,203,203,204,202,202,202,199,64,46,21,61,59,5,47,1,0,0,0,0,0,0,0,0,0,0,0,0,166,219,204,205,204,204,202,201,44,34,18,52,88,24,28,0,0,0,0,0,0,0,0,0,0,0,0,0,90,231,203,208,204,203,203,202
23,95,99,102,106,111,113,116,120,121,124,125,128,128,129,130,132,133,133,137,137,138,141,141,141,141,142,142,143,95,100,105,108,112,115,117,120,122,125,126,127,130,131,133,135,135,136,139,143,140,142,142,142,143,142,143,145,97,102,105,109,114,116,117,120,123,125,127,129,133,133,131,134,127,133,137,112,137,144,143,145,145,144,147,145,98,101,106,110,115,117,118,122,124,125,128,130,131,131,141,141,124,113,86,42,137,147,145,148,146,147,148,147,100,104,107,111,116,118,120,124,125,128,130,128,132,142,148,123,65,64,54,107,150,144,146,149,148,148,148,148,100,105,108,112,116,117,121,125,125,130,128,139,155,131,118,56,63,118,143,152,146,147,150,149,150,150,150,150,100,106,110,112,117,118,122,126,127,131,125,155,161,93,45,87,149,82,119,151,145,149,151,150,151,151,151,151,102,105,111,114,117,121,122,124,128,132,127,158,165,104,117,176,134,78,80,160,150,149,151,151,151,152,153,154,101,107,111,114,118,120,122,126,129,133,131,165,158,156,174,144,114,125,96,117,132,151,151,152,152,154,154,154,101,107,111,115,119,121,124,128,130,133,135,162,152,161,149,147,148,136,94,35,48,134,156,153,154,155,154,155,104,109,113,117,119,121,125,130,131,132,138,145,139,144,147,141,132,123,73,20,9,83,169,153,154,155,155,155,104,109,113,117,120,122,124,129,130,144,149,133,128,140,139,132,128,107,58,22,14,30,102,160,154,154,155,154,103,108,113,117,121,122,125,128,134,177,158,136,143,129,120,108,83,85,62,23,7,34,31,111,164,154,156,154,103,109,115,118,121,123,126,131,131,170,170,154,146,110,75,27,27,102,61,20,0,34,34,102,167,155,157,156,104,109,115,118,122,125,126,131,132,161,166,147,129,111,76,11,32,104,55,16,16,43,49,149,160,157,157,158,104,110,115,119,122,124,126,130,132,162,167,137,156,107,27,0,63,50,7,6,44,47,90,166,157,159,159,160,104,110,116,121,123,124,127,131,131,161,161,149,145,93,32,0,6,0,0,19,53,52,143,160,158,158,158,159,105,110,116,119,122,124,128,133,132,161,157,158,142,93,48,0,0,3,34,46,42,85,166,156,159,159,158,158,106,112,116,119,122,125,129,132,134,163,157,159,140,90,55,0,0,37,57,62,41,131,165,158,160,160,159,158,108,112,116,120,124,126,130,132,136,163,160,157,133,90,58,5,15,50,61,51,75,167,157,160,161,160,159,160,108,112,117,122,124,126,129,132,138,164,157,147,124,86,56,13,22,56,62,41,113,169,158,161,161,161,161,161,107,111,117,122,123,127,131,132,142,164,145,136,119,83,57,30,25,58,56,43,147,161,159,161,161,162,161,162,107,112,117,122,124,127,131,132,143,162,141,132,113,86,64,39,29,54,42,77,168,158,161,161,162,163,163,164,108,113,118,123,124,126,132,131,147,162,143,136,113,91,71,44,33,44,41,142,163,161,162,163,164,165,164,164,107,113,118,123,124,126,133,130,153,164,142,132,114,98,68,44,37,29,108,166,158,162,162,162,164,165,165,165,108,113,119,123,126,129,131,134,162,155,140,124,111,92,53,45,30,99,166,159,161,161,162,162,164,165,166,165,108,113,119,123,126,132,129,150,165,148,136,114,92,74,53,34,75,167,159,161,161,161,162,162,164,166,166,165,108,114,120,123,124,130,127,160,156,147,130,107,83,72,52,32,140,164,159,162,162,162,164,164,164,166,165,166
7,236,236,236,236,235,236,236,237,236,235,233,233,229,199,230,226,210,194,186,180,164,150,138,102,83,49,93,206,238,239,239,239,238,238,237,237,236,237,236,235,234,222,227,232,213,189,161,153,133,107,91,70,66,43,107,213,240,240,241,241,241,241,240,241,241,241,239,238,235,223,231,232,219,201,159,128,97,76,62,55,51,53,109,215,242,243,243,244,244,244,244,245,244,243,239,237,245,230,227,230,223,218,214,199,168,125,84,61,67,60,109,216,242,243,243,243,244,244,246,245,244,243,241,246,204,208,234,228,221,222,226,218,221,173,106,81,80,66,112,219,245,245,245,244,245,245,246,245,245,245,248,237,151,171,244,234,224,225,229,215,220,173,84,88,87,77,105,220,247,246,246,247,247,246,246,246,246,243,254,208,170,241,210,226,227,217,229,220,212,153,89,93,94,92,67,125,250,248,249,248,249,250,249,250,251,251,251,206,248,255,221,164,213,214,216,209,192,140,98,96,99,95,56,70,252,250,252,251,252,255,255,248,238,227,228,255,255,255,255,219,169,196,209,203,185,153,113,103,105,95,51,69,251,251,253,255,253,241,223,207,195,179,135,130,162,192,204,195,165,149,170,185,183,159,121,111,110,91,72,166,255,254,243,231,213,199,197,192,190,178,128,96,116,137,141,135,145,145,124,126,143,138,126,122,108,85,109,208,224,211,200,194,194,200,197,190,187,163,123,114,115,123,132,137,141,142,125,108,123,112,121,119,114,92,146,156,199,202,206,205,202,205,203,206,196,173,130,108,118,128,132,130,137,134,117,109,115,115,125,123,157,131,190,118,211,207,208,203,205,211,212,207,199,182,126,97,116,131,145,140,140,135,127,120,112,129,119,117,138,132,127,53,206,207,212,212,209,204,205,197,191,157,110,111,122,126,130,131,131,129,128,117,117,135,123,120,114,131,144,114,217,216,211,210,205,207,206,199,193,156,99,97,96,90,95,100,109,112,106,115,109,117,117,110,109,118,138,123,216,216,209,208,208,211,199,195,210,181,98,81,83,77,114,127,112,166,196,147,149,100,98,116,107,101,90,88,203,207,209,203,203,201,190,200,204,163,102,88,92,88,88,102,114,141,154,127,111,123,128,131,70,82,108,77,195,194,201,198,192,190,187,190,184,139,95,97,97,95,89,86,194,204,131,105,103,137,198,84,26,42,122,135,189,188,187,191,190,186,185,188,187,131,86,74,92,104,88,119,177,101,128,104,101,142,134,31,85,70,110,176,185,187,183,188,189,186,187,187,188,130,81,65,68,88,81,94,112,87,95,93,97,108,102,113,120,107,125,173,187,179,168,171,169,168,171,169,155,116,82,72,83,97,92,90,152,97,156,136,117,102,148,103,80,85,123,166,167,169,155,140,135,133,132,125,100,91,90,139,132,109,125,101,128,131,171,91,77,61,147,117,91,103,90,128,143,150,135,119,109,115,116,113,146,208,209,213,170,136,128,122,84,84,146,72,95,57,88,139,87,109,80,94,132,134,151,161,169,177,219,190,202,212,215,176,197,226,225,127,98,82,112,116,85,73,141,93,88,111,78,92,185,133,244,255,246,208,246,143,205,180,207,220,210,207,232,172,78,142,98,97,70,134,236,131,87,111,89,86,187,142,207,242,244,225,225,121,189,156,195,214,207,208,212,198,143,196,188,125,45,163,217,147,139,191,122,81,152,161,226,247,254,255,223,171,116,137,197,203,194,169,182,192,204,182,204,155,57,155,186,139,179,212,168,95
4,166,166,167,167,168,169,168,167,169,169,168,170,170,170,170,170,170,170,170,169,171,169,167,167,168,167,166,166,168,169,168,169,169,170,170,170,170,171,170,171,170,170,170,170,171,171,170,170,170,170,170,170,169,170,168,167,170,171,171,170,170,171,170,171,171,171,170,170,170,171,174,172,172,173,176,173,171,170,171,170,170,170,170,168,170,171,171,171,172,172,171,171,172,172,173,173,173,159,151,168,171,154,150,173,175,174,171,171,171,171,171,169,171,172,173,172,172,173,173,172,172,172,163,170,201,177,139,131,181,156,119,120,170,161,174,175,173,173,172,171,172,172,172,174,173,173,175,175,173,185,180,154,158,205,163,118,187,178,133,86,146,122,113,174,176,173,172,172,173,172,172,173,175,176,176,174,178,196,195,168,118,185,176,108,180,186,134,121,176,142,80,115,183,172,174,173,173,175,176,176,176,177,178,173,187,177,189,169,115,161,178,91,160,189,121,124,182,141,90,92,183,175,176,175,174,176,176,177,177,177,176,178,197,153,177,174,102,142,183,110,126,168,104,133,189,161,91,106,186,175,177,175,174,176,176,177,178,178,174,188,183,124,138,181,113,120,185,160,148,149,154,177,194,164,103,122,189,176,178,176,176,176,176,177,179,178,178,192,182,154,130,155,113,95,126,159,161,161,175,177,173,148,128,97,178,179,179,178,176,176,176,177,179,177,188,190,173,158,131,109,82,84,100,97,133,141,147,159,148,133,150,85,144,189,178,179,176,177,177,177,179,178,190,179,151,128,121,105,82,90,111,77,108,113,115,127,116,149,156,103,103,190,178,179,176,177,178,178,180,179,194,182,152,118,99,94,88,101,107,105,137,135,112,79,138,187,163,132,82,164,186,179,176,178,178,179,180,179,201,196,166,130,100,82,88,109,100,135,158,151,125,140,155,183,178,159,94,117,193,178,176,177,178,178,179,182,200,199,173,133,99,87,89,111,123,163,150,158,168,185,183,171,184,152,103,90,188,181,175,176,178,178,177,183,201,200,183,135,99,101,92,98,131,150,158,179,185,178,181,166,154,134,108,81,173,184,176,176,178,178,177,184,202,197,188,136,107,122,107,112,141,154,176,183,180,174,167,157,129,113,97,94,180,182,176,177,177,178,177,186,198,195,177,142,138,127,113,153,173,184,189,185,176,165,153,139,116,94,80,156,186,182,176,177,177,178,177,186,199,195,182,161,151,131,113,169,189,188,193,183,168,155,143,125,104,75,129,189,182,183,177,178,178,179,178,180,201,194,191,174,150,149,121,159,191,189,189,173,152,143,133,114,86,97,183,184,184,183,177,177,177,178,179,172,194,196,198,182,161,152,135,157,191,185,178,163,143,132,117,100,78,159,190,183,184,183,181,181,181,181,183,173,185,194,186,172,163,150,141,154,180,175,165,152,132,121,107,79,112,190,183,184,184,183,158,161,166,166,170,164,181,197,178,162,163,155,143,153,164,163,150,135,121,114,96,81,175,194,190,190,190,189,93,95,95,96,101,91,168,197,174,168,170,161,146,151,160,157,145,123,110,106,81,105,160,157,164,165,161,159,91,90,89,90,92,76,160,199,176,175,171,162,147,153,164,162,144,109,99,91,83,88,89,89,82,84,113,126,93,92,93,94,97,80,162,203,178,175,174,170,149,148,163,159,127,96,90,80,89,91,87,90,125,150,183,198,91,91,93,93,97,79,158,207,179,176,182,184,152,136,160,147,109,91,83,85,103,104,126,162,205,190,151,172
15,73,77,81,84,87,93,104,116,126,131,135,139,144,149,153,155,159,162,163,165,167,170,171,171,171,172,173,172,75,78,80,85,88,93,105,117,126,133,137,138,144,149,153,157,161,163,165,168,170,170,172,172,172,174,176,175,75,77,80,86,91,96,109,119,128,135,140,141,146,152,156,160,163,166,167,169,171,173,174,175,176,176,176,176,76,78,81,87,84,91,107,119,128,135,140,142,148,154,157,162,166,167,168,171,174,175,176,177,179,177,178,178,76,78,82,84,118,127,126,126,134,142,140,144,149,156,161,164,164,167,171,174,175,177,177,180,182,181,181,182,75,82,73,127,203,146,138,132,149,160,142,137,139,149,151,162,171,172,174,175,176,179,181,183,183,183,183,183,77,82,73,127,170,105,105,104,142,140,120,121,160,161,135,124,135,158,169,180,183,179,182,185,185,184,185,185,78,79,81,85,101,92,95,91,124,117,98,110,166,165,143,105,123,132,141,137,162,190,182,186,186,186,187,186,78,79,83,87,88,99,110,119,125,121,111,114,153,158,118,110,167,149,147,135,99,153,195,185,189,188,189,188,78,81,83,87,91,101,115,129,139,146,146,146,139,115,93,190,161,161,126,162,138,85,166,196,188,191,191,190,80,80,83,87,90,101,116,127,138,143,153,186,127,94,102,164,156,123,122,163,143,124,79,183,193,191,191,191,77,80,82,87,90,102,116,129,140,142,172,196,156,93,69,72,111,93,146,129,134,144,81,100,202,191,193,193,78,81,83,87,90,103,118,129,140,144,162,200,185,137,115,94,80,97,164,124,134,107,102,58,145,208,192,195,78,80,83,86,91,103,119,130,140,146,175,172,179,163,179,156,98,95,94,103,103,74,64,67,63,182,201,195,78,80,83,87,91,104,117,131,137,164,192,156,153,139,175,149,79,80,84,78,89,71,52,61,49,77,198,199,80,81,84,87,91,104,119,131,140,161,157,118,123,129,154,111,75,82,79,83,92,82,60,59,59,39,117,211,79,80,82,87,91,105,119,131,142,152,167,128,124,95,82,73,64,70,71,73,78,74,74,70,58,55,54,186,80,81,83,87,91,106,121,132,140,160,183,182,154,106,84,107,93,46,75,87,84,80,87,84,66,59,46,117,79,81,84,86,91,106,120,132,143,151,162,182,162,128,120,112,118,53,78,109,101,102,108,98,69,53,58,54,80,80,83,87,91,107,120,133,145,151,156,156,139,113,76,71,110,134,73,108,122,119,110,90,59,56,62,58,80,79,82,85,91,106,121,135,144,151,152,155,135,108,75,56,91,124,83,82,130,127,99,74,57,62,65,63,79,79,82,84,91,106,122,135,145,150,152,160,169,175,176,154,118,145,147,114,110,106,80,69,64,69,68,63,76,77,81,82,89,105,120,133,144,150,152,157,164,168,179,177,89,111,128,139,97,100,86,60,44,43,44,46,74,76,80,80,88,106,121,133,145,149,151,157,165,170,183,150,65,61,39,43,53,56,42,26,17,14,11,4,75,75,78,80,86,104,119,133,144,150,152,159,166,170,187,124,66,70,67,16,20,33,26,20,18,15,8,0,73,74,77,80,85,103,120,133,144,151,153,159,166,172,182,101,64,61,62,53,0,22,28,21,18,15,9,0,71,72,75,77,85,102,119,132,143,151,153,158,165,176,165,71,63,60,54,63,0,0,20,17,8,6,6,0,68,69,73,75,84,101,115,129,141,148,150,157,163,180,131,62,67,57,53,65,3,0,8,10,3,8,11,0
19,122,125,130,134,141,148,153,157,161,163,165,168,171,174,175,177,179,181,182,183,185,187,187,188,189,190,191,191,122,126,130,134,142,148,154,159,162,164,166,168,171,174,176,180,181,181,184,185,187,188,188,191,191,192,193,192,123,128,132,136,144,150,156,161,164,165,167,170,173,175,177,181,182,184,186,187,188,189,191,192,193,194,194,194,124,129,134,138,145,152,157,162,165,166,169,171,175,178,181,183,185,187,187,189,191,192,194,194,195,196,194,196,125,130,134,138,146,153,159,163,166,168,170,173,176,179,181,184,188,190,188,191,192,193,194,194,196,194,201,192,125,130,135,140,147,154,160,164,168,170,171,174,179,179,190,190,168,182,194,191,193,195,195,196,193,211,220,145,125,130,135,140,149,155,162,166,169,170,173,176,180,178,219,196,160,138,186,193,193,195,202,204,211,216,168,132,125,131,136,141,149,156,163,168,170,172,174,178,181,177,209,210,169,153,189,205,197,201,211,211,198,158,136,184,126,132,136,143,151,157,163,168,171,171,177,173,179,185,196,209,199,206,204,200,192,180,191,178,142,146,189,207,127,133,137,143,153,159,164,170,168,194,209,177,171,177,188,194,189,181,173,179,166,150,148,150,175,205,205,203,128,133,137,143,152,159,166,170,172,220,196,182,182,187,195,195,185,174,171,161,161,134,188,204,209,204,205,205,127,134,137,145,153,159,167,166,183,209,173,173,180,193,198,195,192,186,170,137,129,147,213,204,204,207,207,206,129,134,138,146,154,160,168,164,197,205,181,180,185,184,176,172,174,162,148,131,115,166,212,204,207,207,207,207,130,135,139,146,154,161,167,168,229,218,199,197,197,189,187,181,168,130,125,129,117,185,212,207,208,208,209,209,130,135,139,148,157,163,168,173,229,213,197,184,177,184,185,179,159,128,121,130,124,196,209,207,209,210,211,211,130,135,140,148,156,164,170,174,213,206,184,168,149,146,161,158,153,131,125,126,146,210,207,209,209,210,211,211,131,135,140,150,157,164,170,173,204,205,185,145,135,114,105,139,158,134,127,130,145,213,208,210,209,210,212,212,132,135,140,151,159,166,172,172,203,208,185,149,124,94,130,158,158,130,126,126,126,203,211,209,211,212,213,213,132,135,141,151,158,166,174,167,201,209,185,160,140,114,117,126,118,112,118,127,126,196,214,210,212,212,213,213,132,135,142,152,159,167,175,166,204,212,186,165,142,132,120,107,108,117,123,128,128,199,215,212,212,213,214,213,132,135,143,152,160,168,176,166,204,210,186,164,145,137,136,124,116,118,123,126,135,206,213,213,214,215,215,215,133,136,144,154,161,168,175,167,196,205,182,162,143,136,135,125,116,122,127,125,151,216,211,215,215,215,215,215,133,137,145,154,163,168,176,167,194,200,178,157,142,136,133,126,122,126,133,123,179,219,213,216,216,216,217,217,131,136,145,154,163,169,176,174,198,196,175,154,141,134,134,131,128,130,125,141,211,213,215,216,216,217,218,217,132,137,147,155,163,170,173,177,207,195,171,150,138,135,137,134,130,125,148,202,213,213,215,216,217,217,218,218,133,137,148,156,163,172,173,178,205,189,173,155,141,137,137,135,126,143,208,212,212,214,216,217,217,218,218,218,133,138,147,156,164,172,173,186,198,183,170,157,143,133,130,131,121,177,213,211,215,215,217,218,218,218,219,220,133,137,147,156,165,173,173,201,198,180,162,148,136,126,124,127,125,190,212,213,215,216,217,218,218,219,221,221
12,86,101,113,120,123,130,138,146,149,152,156,161,165,169,172,175,177,179,182,183,185,186,186,188,189,191,191,191,90,104,115,121,125,133,142,148,151,154,159,162,167,171,175,177,180,187,188,185,185,189,190,190,193,194,192,193,92,106,119,123,126,136,145,150,153,157,162,166,170,174,175,180,181,162,173,194,188,190,193,199,193,195,195,195,94,109,121,124,129,138,145,152,155,160,164,169,172,178,183,189,193,123,89,163,201,161,117,165,203,194,197,197,96,110,122,126,131,140,147,153,158,162,166,171,176,164,141,199,200,135,92,85,143,152,96,77,182,202,198,199,98,113,124,128,133,143,150,155,161,164,168,170,199,154,92,102,190,162,119,78,81,154,123,71,128,214,198,200,100,115,126,130,136,145,151,157,162,168,167,185,210,156,115,74,158,192,133,101,73,141,140,91,104,214,202,203,102,117,128,132,138,146,153,159,164,168,172,200,195,183,141,109,120,205,157,107,65,110,140,99,90,211,204,205,105,120,130,133,140,149,155,161,167,167,185,187,161,204,170,127,86,172,180,111,66,74,121,96,75,205,208,208,107,122,131,135,142,152,157,162,165,167,212,150,141,198,183,126,84,122,182,109,69,56,107,83,67,205,210,210,109,124,133,137,143,152,158,162,151,144,172,143,127,168,178,137,94,77,155,104,69,52,91,78,71,207,211,211,111,125,133,136,144,150,170,186,172,168,164,134,84,67,161,135,81,48,125,109,71,50,83,80,79,213,212,212,113,125,134,137,146,150,180,209,199,202,190,108,71,20,110,107,65,35,88,128,106,56,97,97,95,222,210,213,115,128,135,139,148,149,189,204,164,166,149,83,70,28,58,92,75,23,55,163,128,68,101,116,64,187,220,213,116,130,136,140,149,152,184,185,147,121,142,107,78,39,24,92,85,39,83,157,136,75,77,106,44,139,228,213,118,131,137,141,149,156,175,160,127,89,120,140,74,52,22,61,64,84,151,148,127,74,61,75,56,164,226,214,117,130,137,140,150,155,173,181,151,113,91,139,78,61,40,47,86,143,163,152,132,104,81,68,84,211,221,224,118,130,136,139,148,155,178,183,150,121,94,115,89,62,46,57,130,160,162,161,149,119,91,55,145,236,213,193,120,132,136,139,150,155,179,179,163,150,102,86,105,88,68,77,166,169,167,174,144,110,80,73,207,189,176,136,121,131,137,141,151,157,177,178,173,158,98,98,129,111,80,97,179,177,183,166,120,99,72,106,201,104,110,172,120,131,137,142,151,158,172,171,166,163,99,113,129,104,109,157,187,186,177,141,102,87,70,101,103,120,91,108,120,131,136,142,150,159,166,161,166,156,110,121,130,108,145,168,188,179,157,118,88,73,89,148,101,135,101,93,121,131,135,142,152,161,169,168,173,152,116,125,131,107,146,154,175,166,141,102,80,61,123,184,115,82,140,185,96,102,104,108,113,117,120,142,167,149,127,131,126,109,138,156,155,147,114,83,65,94,106,111,114,102,148,136,92,93,92,93,96,95,89,104,168,151,133,129,121,115,123,147,139,109,85,69,68,108,177,138,130,137,105,130,96,95,98,100,101,103,105,100,165,171,144,126,122,120,118,134,124,88,71,72,151,171,223,197,198,159,133,183,96,97,97,99,100,100,102,98,149,159,140,121,113,108,110,120,105,81,55,103,221,190,163,166,174,142,108,120,96,98,99,101,102,101,103,100,152,156,105,92,92,93,102,102,84,69,49,93,214,173,172,189,215,181,127,101
21,121,134,149,161,169,172,181,189,195,199,202,205,207,209,212,213,215,215,214,214,214,213,212,211,211,209,208,208,120,135,151,163,169,174,184,191,197,201,204,211,212,212,216,218,219,219,219,219,218,217,216,215,215,214,213,212,122,136,152,164,171,175,185,193,198,208,213,168,200,222,219,221,222,222,222,222,221,223,223,219,220,218,217,216,123,138,153,166,172,176,187,195,198,212,219,161,150,227,221,223,224,224,225,226,228,188,206,227,222,221,221,220,124,139,154,167,172,178,189,196,201,209,225,189,129,208,227,224,227,228,227,228,239,175,149,233,226,225,224,224,125,141,156,169,174,180,190,198,204,207,235,205,131,177,235,227,229,229,229,230,244,191,131,223,232,228,228,228,127,143,158,170,175,181,192,200,206,207,234,219,136,145,234,229,231,231,232,234,246,193,131,207,238,229,231,230,127,145,159,172,177,184,193,201,207,209,225,226,156,131,219,233,232,233,234,237,243,185,133,197,241,232,233,232,129,145,160,174,178,185,196,203,209,213,220,240,189,136,196,240,232,235,235,238,239,189,137,197,243,232,234,234,130,147,163,175,180,187,198,205,211,215,218,245,206,142,167,242,234,236,237,241,241,196,139,203,244,234,234,233,132,149,164,177,180,189,200,207,212,217,217,246,215,146,146,235,237,238,237,245,232,188,141,210,243,237,242,246,133,151,166,179,182,190,200,207,213,218,218,244,228,163,138,218,241,239,239,249,220,178,136,228,254,239,215,179,135,152,168,179,183,192,201,209,214,218,220,238,246,194,146,193,246,239,239,253,224,178,138,201,166,128,108,95,136,153,169,181,184,193,203,210,216,220,222,227,235,201,151,167,246,239,242,250,216,181,131,98,89,91,93,104,137,154,170,181,185,195,205,211,216,219,229,221,180,165,155,148,237,242,244,239,204,174,117,90,91,94,85,91,136,154,170,180,185,194,204,211,216,216,240,230,199,209,153,129,217,244,227,217,194,157,110,84,81,95,92,82,137,155,171,181,185,195,205,211,217,218,246,250,234,232,167,130,151,191,200,200,175,139,93,95,78,84,97,89,138,156,172,181,186,196,206,211,217,218,245,255,249,226,178,142,125,139,175,188,162,130,72,87,93,74,87,93,136,155,172,181,186,196,205,212,222,189,188,226,248,228,207,162,148,144,139,149,148,127,70,68,97,87,75,87,145,158,172,180,185,196,204,215,238,192,169,163,221,202,216,190,173,175,140,114,129,126,81,58,83,98,82,79,142,141,145,148,151,156,150,199,249,226,203,155,161,183,170,194,185,178,161,128,113,117,95,57,68,93,93,84,142,142,143,143,144,148,136,201,228,233,217,175,133,139,144,128,162,182,179,159,130,107,102,64,60,83,94,90,146,147,146,147,150,152,141,203,204,187,223,189,139,110,143,116,111,199,206,187,164,127,105,75,56,72,91,89,146,148,147,149,151,152,143,212,225,179,189,205,149,128,126,135,113,170,234,212,186,153,123,90,59,63,86,91,147,147,147,148,150,152,144,213,224,191,145,170,176,166,133,141,139,176,194,233,205,168,139,115,69,55,78,91,147,148,147,147,149,153,143,201,227,176,142,136,165,185,151,156,166,201,185,219,222,181,147,131,82,54,67,87,146,147,147,148,149,152,143,179,224,181,171,154,143,165,171,183,197,211,236,216,204,163,155,134,90,63,58,77,146,146,147,148,148,150,145,164,232,207,184,157,156,168,187,202,230,231,234,210,183,133,149,129,91,76,56,65
10,52,91,80,11,39,65,70,75,82,91,106,113,120,127,131,135,136,137,140,143,147,150,150,152,155,156,157,158,59,95,73,10,45,66,71,77,83,91,108,115,121,127,131,135,137,139,143,145,148,150,152,153,155,157,158,159,71,98,63,9,51,67,72,77,84,95,109,116,124,129,133,135,143,140,131,147,149,151,153,154,157,158,160,162,84,100,53,12,56,67,73,78,84,98,111,117,125,131,135,134,161,140,103,147,150,151,154,156,157,158,161,163,92,100,42,18,60,68,74,79,86,100,113,119,126,132,135,136,165,148,99,145,152,153,156,157,159,161,163,163,94,102,33,24,62,69,75,81,88,102,113,121,127,132,136,137,163,152,95,136,154,155,157,159,160,162,164,164,99,102,24,29,64,69,75,81,88,105,115,123,128,132,137,140,157,159,108,119,158,156,158,160,163,163,165,166,104,98,17,36,65,70,76,83,90,106,118,124,129,134,139,141,150,161,119,99,159,157,159,161,164,165,166,168,108,92,12,43,67,71,75,83,91,132,118,94,127,135,138,142,146,157,127,87,149,159,161,162,165,166,167,168,112,84,11,48,68,71,85,89,95,145,111,78,102,138,140,143,145,167,142,85,129,161,161,163,165,167,168,170,116,74,12,53,66,86,142,93,82,127,128,91,76,133,141,144,144,183,158,95,108,163,161,165,166,167,169,171,118,61,14,58,68,85,117,77,63,94,143,115,75,110,147,145,145,179,149,104,93,164,162,165,167,169,170,172,117,49,17,62,70,74,85,82,69,79,142,118,82,72,117,145,150,166,142,108,83,158,164,165,169,171,171,173,119,38,23,67,70,76,82,88,89,82,139,123,85,66,66,104,146,145,137,116,80,150,167,167,170,172,174,175,117,28,30,70,72,77,83,90,101,111,158,144,104,73,61,62,95,112,127,116,82,143,168,168,170,172,174,175,112,20,35,69,72,77,84,89,104,140,175,157,123,83,65,50,66,84,109,110,79,132,170,169,171,173,174,176,106,14,41,71,73,78,83,91,162,170,166,165,139,103,75,63,67,88,97,100,73,114,172,170,172,174,175,175,97,12,48,73,74,79,82,106,187,177,164,166,153,126,88,71,70,80,91,89,68,110,173,169,172,175,176,176,85,12,53,73,74,78,83,103,190,174,165,174,154,131,89,69,64,71,84,78,63,136,173,170,173,175,176,178,72,12,57,73,75,80,85,94,156,125,172,176,149,122,85,70,65,74,84,74,83,166,171,173,174,175,177,178,57,13,62,74,76,81,86,92,121,104,192,164,139,120,92,77,69,75,80,69,123,172,171,174,174,175,177,178,43,18,66,73,75,81,87,91,150,165,191,166,135,116,97,81,74,74,75,74,157,171,172,173,175,176,178,179,31,22,68,73,75,81,87,97,183,187,188,157,136,105,97,84,77,71,67,104,171,171,173,174,175,176,179,180,23,29,70,73,75,81,84,110,197,187,178,147,132,97,90,86,79,69,67,150,170,171,174,175,176,178,180,181,14,33,72,73,75,81,85,109,197,188,166,136,120,93,85,84,80,64,99,169,170,172,173,175,176,178,180,181,9,38,73,74,76,82,85,111,200,180,161,130,114,93,84,80,74,58,133,171,170,171,172,175,177,179,180,181,9,44,74,74,77,83,86,115,188,167,164,138,124,99,81,74,65,64,151,168,170,171,173,175,178,180,181,182,10,48,74,74,77,83,88,106,160,163,170,158,135,104,80,67,57,77,162,168,170,173,174,176,178,180,181,182
4,139,142,145,147,150,152,154,157,157,159,159,160,162,162,162,163,162,162,160,161,161,160,160,159,159,158,158,157,140,143,146,149,151,153,154,157,159,160,161,164,165,162,160,161,167,163,163,162,162,161,161,159,160,159,159,158,142,145,147,150,153,154,156,159,160,160,159,155,162,176,160,121,132,169,164,164,164,162,162,161,162,161,159,159,142,146,148,151,154,157,158,161,159,174,166,133,123,193,168,125,83,170,170,168,165,165,163,163,163,162,161,161,144,147,151,153,155,158,159,159,155,199,189,147,97,166,173,126,76,121,138,150,171,165,165,165,164,164,162,162,145,148,153,155,156,155,167,182,164,141,187,167,109,141,180,127,58,75,126,92,141,173,165,166,166,164,163,163,146,149,153,156,158,159,190,196,170,98,163,170,104,116,168,113,55,83,130,97,74,169,168,167,166,166,164,164,146,149,153,157,158,162,186,177,160,94,147,151,96,89,136,101,51,102,139,101,60,159,172,168,166,167,166,165,147,151,155,156,158,159,185,161,163,97,132,141,93,65,109,91,63,153,145,92,61,162,172,168,166,168,167,165,148,152,154,157,160,159,189,154,146,133,118,145,125,68,94,72,71,152,117,63,61,172,171,167,168,169,167,166,149,153,156,159,161,162,196,184,151,111,79,158,141,135,124,114,117,138,128,82,62,176,173,171,170,169,168,167,150,153,158,159,160,166,200,178,147,104,72,88,92,149,129,143,159,171,163,105,79,178,173,173,171,171,170,169,150,154,158,159,160,173,198,157,121,99,81,67,60,93,130,140,153,159,147,104,75,169,174,172,171,170,171,170,151,154,158,162,158,180,197,160,127,94,73,70,80,80,102,118,118,126,132,115,65,141,181,172,171,171,171,171,151,155,158,162,158,185,196,164,127,98,83,78,85,107,100,106,129,136,146,127,75,107,186,172,173,172,171,171,152,156,159,163,160,191,193,158,118,92,85,78,80,116,113,147,170,170,173,140,95,70,173,176,174,173,172,171,153,156,160,163,162,193,191,157,121,98,86,85,87,113,130,177,188,180,185,152,107,56,136,186,174,177,173,173,154,156,160,164,163,191,184,158,125,110,99,91,90,111,173,186,190,173,167,140,102,55,129,187,174,176,174,173,153,156,159,163,162,188,178,158,132,112,98,93,97,150,197,193,180,163,139,117,80,64,165,181,176,176,174,173,153,154,159,162,161,186,185,160,123,102,95,102,121,185,198,188,164,141,117,92,57,110,185,175,176,175,175,173,153,155,159,162,162,181,190,162,132,129,110,112,143,195,190,174,149,124,99,71,63,170,180,176,176,176,175,173,153,156,159,163,163,175,186,169,145,141,122,98,156,194,176,156,132,110,85,50,115,189,177,178,177,176,175,173,153,157,159,163,164,174,190,172,147,141,124,98,164,182,156,134,109,88,66,60,172,181,178,177,177,176,175,174,153,157,159,165,160,176,198,180,154,136,112,99,160,163,136,114,88,75,43,117,189,177,178,178,177,177,175,174,154,157,159,164,157,195,196,171,144,120,89,106,149,132,99,84,71,49,70,178,178,177,178,178,177,176,174,173,155,158,163,160,172,204,188,170,149,114,100,121,131,96,73,70,60,58,162,185,179,180,179,179,179,179,177,177,145,146,150,146,190,195,187,176,147,122,115,119,114,83,76,80,55,121,171,165,167,167,167,168,168,168,167,166,97,96,88,119,199,179,170,160,130,118,130,102,90,77,73,68,61,91,92,92,92,90,91,91,92,95,96,94
3,69,0,28,59,79,89,100,111,119,124,130,134,137,140,142,145,147,149,152,153,138,158,160,162,166,166,166,167,60,0,34,62,81,90,101,112,120,125,131,135,138,140,142,147,149,151,154,168,101,134,167,163,164,166,167,170,48,0,40,64,83,92,103,115,121,127,132,136,139,141,145,147,151,151,159,180,103,116,172,163,165,167,169,170,36,0,45,67,84,94,105,117,122,128,135,139,140,143,146,148,152,152,164,177,95,119,171,163,166,167,169,171,25,2,48,70,85,95,107,119,122,130,135,138,141,145,147,148,157,154,169,176,95,129,172,165,168,170,171,173,13,9,52,73,87,96,110,120,125,132,137,139,143,148,152,153,141,145,180,160,93,128,173,168,171,172,173,175,2,18,55,76,89,99,110,122,128,133,138,139,142,131,165,192,150,109,165,135,87,131,177,169,172,173,174,175,0,26,58,78,90,100,112,123,127,134,132,169,193,147,120,162,173,100,131,132,75,147,177,172,174,173,175,177,0,32,62,81,91,103,114,124,129,133,141,161,178,188,132,107,170,135,146,120,79,164,174,174,175,176,177,178,0,37,63,83,94,105,117,125,124,156,204,167,101,132,154,85,154,157,148,111,76,168,174,174,176,178,179,179,0,43,65,85,95,105,118,127,125,168,179,167,140,99,148,126,70,70,147,129,91,120,181,175,178,179,180,181,4,46,68,85,96,106,119,126,126,175,153,102,146,132,113,150,71,60,133,167,149,84,153,182,178,180,181,183,11,48,71,87,97,107,120,126,130,184,140,71,84,85,90,94,93,96,103,165,152,87,151,185,178,181,182,183,15,52,73,87,99,108,121,124,135,180,138,126,106,74,91,93,115,109,115,173,147,86,168,183,180,182,183,183,20,56,75,88,100,109,122,123,146,190,161,129,97,79,99,118,135,112,134,195,145,94,181,182,183,184,185,187,26,59,77,89,100,111,121,121,149,192,144,107,85,88,107,136,141,137,168,193,129,102,186,180,183,184,187,188,32,61,78,90,101,112,123,122,152,188,142,112,92,96,115,145,150,181,187,182,118,102,187,181,184,185,186,187,37,62,80,91,102,113,124,122,150,193,156,121,102,97,118,149,177,204,180,155,113,106,191,181,185,187,187,188,41,63,82,92,103,114,123,124,149,195,161,134,107,107,120,165,201,200,176,133,89,126,192,182,186,187,188,189,45,64,83,94,103,114,123,126,147,197,173,143,113,113,126,183,200,191,173,128,72,140,190,182,186,188,188,188,47,66,83,94,104,114,122,128,140,187,171,144,130,121,134,193,199,182,164,119,68,157,189,182,186,189,189,189,51,68,83,93,104,115,122,128,134,170,172,154,149,133,139,187,192,173,155,107,73,175,186,186,186,189,189,190,53,70,84,94,104,116,122,128,133,157,177,164,157,147,134,171,176,156,140,96,92,189,184,186,187,188,189,190,54,71,85,95,104,118,124,129,133,154,181,170,160,142,130,151,159,144,140,79,124,194,183,186,187,188,190,190,54,73,85,95,105,118,124,129,132,158,194,170,154,131,125,141,142,140,134,81,163,188,184,187,188,189,191,191,56,73,85,95,106,118,123,130,131,166,200,166,154,134,129,144,134,141,105,102,188,181,185,186,188,189,190,191,57,75,86,96,107,117,123,131,131,179,199,177,163,138,144,153,133,129,85,138,189,181,185,187,188,189,190,191,57,76,86,96,107,117,122,132,132,185,200,193,157,139,153,152,129,104,78,162,185,184,186,187,188,190,190,191
20,139,142,145,148,150,153,155,156,158,159,160,160,160,162,159,161,163,164,164,164,164,165,165,164,165,164,163,162,142,145,148,151,154,156,158,160,161,163,164,164,165,170,149,150,164,166,166,167,167,167,168,167,168,167,166,165,145,148,152,155,157,160,162,164,165,166,167,168,173,181,138,129,156,164,169,170,170,170,171,171,171,170,168,167,148,152,155,158,161,164,165,167,169,170,171,172,178,184,136,119,139,146,171,174,174,174,174,174,174,173,171,170,152,155,159,162,165,167,169,170,172,173,174,175,181,184,137,131,144,129,168,177,177,176,177,177,177,176,175,174,155,158,162,165,168,170,172,173,175,176,177,179,184,186,142,142,154,124,164,180,180,180,180,180,180,179,178,177,158,161,165,168,171,173,175,177,178,179,180,181,188,190,146,147,163,127,161,183,183,183,184,183,183,182,181,180,160,163,167,170,174,176,178,180,181,183,183,183,193,191,148,150,172,132,157,185,186,186,187,186,186,186,185,183,163,165,169,173,176,179,181,183,185,186,185,184,197,195,151,154,177,136,152,187,189,190,190,189,189,189,187,186,165,168,172,175,178,182,184,186,187,190,187,172,185,192,148,156,184,142,149,189,192,192,193,192,192,191,190,189,167,170,174,177,181,184,187,187,186,192,197,170,154,154,126,146,183,146,149,191,194,195,195,195,194,193,192,191,170,173,177,180,183,187,189,192,186,178,193,177,136,115,102,128,164,142,147,192,197,198,197,197,196,196,195,194,172,175,179,182,186,189,192,198,195,169,168,176,152,138,119,117,137,132,142,192,199,200,199,199,199,198,197,196,173,177,181,185,188,192,194,192,184,162,146,170,168,168,150,114,108,115,134,191,200,201,201,200,200,200,199,199,175,179,183,186,190,193,195,188,170,155,136,165,163,161,157,119,91,93,127,191,202,202,203,203,203,202,201,200,177,181,185,188,191,194,196,195,181,156,131,130,120,114,150,138,98,82,118,191,204,205,206,206,205,203,202,202,178,181,186,189,193,196,199,201,180,141,107,86,79,84,143,162,122,87,108,187,206,207,207,207,206,205,204,203,179,183,187,191,194,198,201,203,184,147,113,95,95,113,166,186,146,103,105,181,208,208,208,209,208,207,207,206,181,184,188,192,195,198,201,205,193,156,124,115,128,166,201,191,152,115,109,181,209,209,210,210,210,209,209,208,182,185,189,193,196,200,202,207,199,166,138,133,151,194,209,182,141,109,112,186,211,211,211,211,211,210,210,209,182,187,191,194,198,201,202,209,207,181,154,145,161,201,200,168,129,99,115,192,212,212,213,213,213,212,211,210,183,187,192,196,199,202,203,209,211,188,163,156,166,202,192,155,119,95,118,195,214,215,215,215,214,214,213,211,184,188,192,196,200,202,203,205,206,189,173,169,169,198,184,144,110,93,125,199,215,215,216,215,215,215,214,212,184,188,192,196,199,201,203,202,199,188,175,171,163,186,169,133,103,90,134,204,215,215,215,216,216,215,214,213,184,188,192,196,199,201,202,202,199,188,174,165,150,167,150,121,100,93,150,208,214,215,215,216,216,215,215,214,185,189,193,196,199,201,203,203,202,190,168,150,134,150,135,115,101,107,176,213,215,215,216,216,216,215,215,215,186,189,193,196,199,201,203,202,204,193,168,144,135,149,128,114,101,136,200,215,216,216,217,217,216,216,216,215,186,190,194,197,199,201,203,202,206,199,177,155,148,151,122,110,102,164,210,215,216,217,218,217,217,217,216,215
3,140,154,162,164,171,179,182,186,191,194,197,199,201,203,205,204,208,197,206,206,207,208,208,207,207,207,208,208,141,155,164,165,174,182,184,188,192,195,200,203,204,206,207,205,238,166,179,214,207,208,208,207,206,206,207,208,144,157,165,167,177,185,188,192,195,198,203,206,209,210,212,209,253,175,139,219,213,212,212,208,209,208,208,207,147,159,165,169,178,187,192,196,200,203,207,211,215,215,216,210,255,189,120,225,206,212,215,213,213,211,211,209,151,162,168,173,182,191,195,200,204,209,215,215,217,222,222,229,234,170,117,250,178,185,225,216,216,215,215,215,155,167,172,176,186,195,198,203,208,216,213,220,230,203,241,255,238,223,171,231,202,138,233,221,221,219,220,219,159,169,175,182,191,198,203,206,207,204,239,255,255,204,150,184,241,255,214,148,204,132,180,238,225,224,224,223,163,174,180,187,196,202,204,242,239,204,244,218,236,248,213,86,137,195,131,111,175,174,131,195,238,228,230,228,168,178,183,190,201,202,237,243,213,222,187,127,120,226,241,129,138,144,107,182,189,188,144,148,246,233,235,233,171,182,186,195,205,213,255,180,116,182,117,108,78,99,143,103,118,94,86,217,232,230,160,150,249,237,239,238,174,184,189,197,208,219,255,200,129,193,162,152,115,128,111,87,94,97,94,222,255,249,170,153,254,241,243,242,178,186,191,201,213,217,255,221,164,207,229,201,168,151,134,128,117,111,98,199,255,249,169,160,255,243,246,246,181,190,194,205,218,220,255,248,215,194,194,153,156,166,165,174,142,158,148,191,255,241,156,158,255,247,251,249,185,193,197,208,221,225,255,251,199,176,171,155,163,175,196,190,204,227,255,252,235,206,144,153,255,252,254,253,188,196,201,212,224,228,255,251,193,163,158,167,173,192,213,224,253,255,255,253,204,159,140,149,255,255,255,255,190,199,205,216,227,229,255,255,218,176,159,181,182,200,239,248,255,255,255,233,180,143,122,168,255,255,255,255,195,201,208,218,230,232,255,255,238,200,166,164,182,218,251,255,255,255,255,216,165,133,107,239,255,255,255,255,197,203,209,221,233,235,255,255,255,226,189,164,182,215,249,255,255,255,243,195,160,106,163,255,255,255,255,255,199,205,213,225,235,240,254,255,255,242,209,186,186,202,241,255,255,255,226,176,142,102,237,255,255,255,255,255,203,207,216,228,237,246,251,255,255,255,222,211,204,200,235,255,255,249,205,162,116,135,255,255,255,255,255,255,206,210,219,230,241,248,250,255,255,255,245,227,216,197,245,255,255,224,179,145,96,204,255,255,255,255,255,224,208,214,222,233,244,251,254,253,255,255,255,239,223,194,235,246,233,196,154,117,114,255,255,255,242,176,108,72,211,216,225,236,246,254,255,251,255,255,255,246,224,195,193,231,206,170,140,94,207,255,199,130,83,63,63,60,214,218,228,239,248,255,255,255,251,255,255,246,225,197,176,205,199,159,122,133,241,129,68,59,64,59,62,53,218,220,231,241,250,255,255,255,251,255,255,236,219,187,172,186,181,150,114,134,116,71,81,52,50,71,54,46,219,223,232,243,251,255,255,255,255,255,235,213,210,186,177,173,162,149,116,71,54,69,91,54,29,61,68,40,216,222,231,243,252,255,255,255,250,255,252,227,230,208,183,172,154,149,103,74,57,39,81,72,26,40,73,58,217,223,234,245,253,255,255,255,243,255,255,249,253,214,189,172,149,146,94,69,70,31,50,82,41,26,55,69
11,149,152,155,157,160,161,162,164,164,164,164,163,164,163,162,161,160,159,158,158,155,155,154,152,151,150,149,146,152,154,157,160,162,162,165,166,166,167,166,165,165,165,165,163,163,162,160,159,157,157,156,155,153,151,150,149,154,157,159,161,164,165,166,167,168,168,168,167,167,166,165,164,164,164,161,160,160,159,157,156,155,154,151,150,155,158,161,163,166,166,168,169,168,170,170,170,169,168,167,166,161,163,166,163,161,161,159,157,157,155,154,151,157,160,162,164,166,169,171,171,170,171,170,171,171,171,168,174,159,109,162,164,162,162,162,159,160,158,155,153,158,162,163,165,168,170,171,171,171,172,172,172,172,171,168,179,167,86,140,172,163,164,164,163,161,159,157,156,160,163,166,168,170,171,172,174,173,173,173,174,173,172,170,179,161,93,134,175,164,164,165,164,161,160,159,157,162,164,168,170,171,172,175,176,176,175,175,175,175,175,169,185,172,102,133,177,167,165,165,164,163,161,160,158,163,165,168,171,172,175,177,177,177,177,177,175,176,177,171,192,181,109,124,179,168,167,166,165,164,162,161,160,165,167,169,171,174,176,177,178,178,178,178,177,176,177,173,193,166,98,122,180,167,168,168,167,165,164,161,160,166,169,170,173,176,177,178,178,178,178,179,177,180,183,179,194,159,92,127,181,169,170,170,169,167,165,163,161,167,170,173,176,178,179,179,179,180,181,185,185,170,137,160,199,157,98,136,181,170,172,171,169,168,167,165,162,170,171,174,177,179,180,181,185,188,176,146,162,159,107,95,173,133,87,147,181,172,172,172,171,170,168,165,164,170,173,175,177,181,181,182,151,159,170,115,74,142,129,71,79,86,71,167,180,175,174,172,171,171,169,165,164,171,175,177,178,181,186,186,138,84,157,129,70,142,126,70,59,63,90,184,176,176,176,176,175,174,173,168,165,172,176,178,181,180,197,191,164,82,136,138,70,131,109,67,61,60,100,188,177,178,175,171,166,157,154,168,171,175,177,179,181,189,209,195,160,85,99,120,62,115,104,64,52,49,95,190,177,178,172,162,154,131,117,115,147,176,178,181,180,200,193,174,158,91,68,106,64,135,116,73,45,54,101,192,172,181,180,146,116,90,85,68,86,177,179,183,181,204,206,179,148,74,85,124,68,170,159,88,53,71,96,167,175,176,131,72,61,102,127,120,135,178,180,184,183,208,210,182,129,93,112,182,95,162,158,68,66,107,118,155,168,132,67,73,157,185,181,179,175,178,180,184,183,210,205,167,144,137,99,206,113,71,121,98,121,122,116,133,116,66,85,177,184,176,174,172,170,177,181,184,183,207,202,180,160,129,115,155,104,115,161,155,134,114,98,97,62,76,184,183,178,178,176,174,171,179,183,185,185,201,202,189,166,150,166,174,179,160,146,137,121,110,85,60,68,172,188,181,181,180,178,176,173,180,183,187,186,195,198,183,163,139,139,156,161,147,143,122,114,102,54,84,174,190,184,184,182,182,178,176,175,179,184,183,191,195,192,177,141,118,136,150,143,138,125,114,104,60,98,190,192,184,185,184,183,181,178,177,176,177,186,91,61,172,178,161,134,137,146,144,134,122,106,80,62,120,196,189,187,186,184,183,183,180,178,176,174,188,136,45,36,87,160,171,167,159,136,134,116,90,54,85,172,198,189,188,188,186,184,184,182,181,178,176,174,179,75,46,55,44,75,139,151,140,125,114,95,61,59,189,201,189,191,189,188,186,185,184,183,181,178,177,175
13,197,198,199,199,199,199,199,200,199,199,199,201,202,201,202,203,201,200,201,201,200,200,200,200,200,197,196,198,198,199,199,199,199,200,201,200,199,201,203,201,199,200,197,197,206,205,204,202,200,200,202,201,200,199,197,198,199,200,200,200,201,201,200,200,201,202,200,202,215,217,197,161,154,188,185,202,203,202,203,203,201,201,199,198,199,200,201,200,201,201,201,201,202,201,200,223,234,232,217,169,121,97,130,135,205,203,202,202,201,202,199,200,200,201,201,201,201,201,202,202,200,202,202,191,194,221,223,180,130,83,111,87,170,211,200,204,202,202,202,202,200,200,201,202,202,202,202,203,203,169,189,188,164,185,214,194,143,89,126,133,150,215,202,204,203,204,203,203,199,200,202,203,203,204,199,220,221,160,162,190,195,202,194,199,172,90,126,125,140,215,204,204,205,204,203,202,201,201,202,203,203,202,201,236,222,186,160,128,169,196,189,158,120,79,71,129,193,208,206,205,205,205,204,204,200,202,202,203,201,213,171,152,202,211,188,123,64,145,192,164,138,118,92,113,217,206,207,206,205,205,206,204,200,201,202,195,216,223,154,103,127,222,201,158,64,55,114,146,174,187,160,98,147,220,204,207,206,204,205,203,200,200,199,217,227,200,147,125,84,194,214,161,117,54,55,78,199,211,196,157,96,176,215,204,205,205,205,202,201,199,210,228,191,187,161,149,79,142,224,173,154,80,65,58,147,225,211,175,128,104,203,206,204,205,204,203,201,203,218,193,153,180,175,156,102,68,201,204,175,123,52,90,165,213,213,175,151,102,162,216,203,205,205,205,200,207,224,205,165,167,189,154,143,78,89,216,192,163,103,125,227,206,193,165,151,104,157,218,205,207,207,206,199,208,218,201,181,151,170,178,175,134,45,113,206,195,182,145,214,199,176,140,121,91,176,216,206,206,206,206,202,206,220,217,198,174,142,164,183,159,136,57,168,196,181,197,204,184,165,134,99,89,198,210,207,207,206,205,193,194,221,228,213,189,173,159,163,162,178,112,196,217,210,213,196,176,155,127,92,113,217,212,212,211,209,208,116,113,210,231,220,200,183,179,180,161,132,154,217,228,228,204,190,173,147,116,88,132,198,192,196,196,199,200,100,81,176,235,222,210,194,183,188,188,157,151,204,227,223,204,176,159,139,107,95,100,106,110,109,110,110,111,105,94,132,228,216,216,210,196,189,186,176,139,168,222,213,197,173,144,122,102,94,102,95,88,89,101,131,158,103,103,98,199,209,210,213,210,197,186,173,157,140,199,201,182,163,135,112,99,90,104,122,144,173,197,209,201,102,106,95,138,215,203,213,217,201,187,171,157,143,163,187,166,141,127,110,91,96,168,207,215,210,203,207,200,103,103,105,93,175,212,208,209,192,179,166,152,141,141,159,159,142,123,106,76,154,239,215,201,194,179,181,191,104,103,105,97,109,209,205,189,176,167,159,148,128,122,144,163,150,114,93,81,210,224,208,195,170,150,146,162,103,103,101,105,90,178,215,179,159,161,155,145,127,109,148,175,138,103,76,131,241,215,214,196,149,120,142,152,104,104,100,106,93,144,218,185,174,175,160,141,126,109,153,173,116,97,72,196,231,210,226,208,154,105,126,153,103,105,100,105,94,127,220,197,188,189,168,147,137,110,150,161,111,87,94,228,208,203,227,227,175,111,107,143,104,105,100,104,94,126,213,205,200,194,171,158,147,105,143,155,112,75,124,232,205,199,217,234,194,122,96,121
10,128,131,134,138,140,143,145,147,146,148,149,150,151,150,151,152,151,151,152,152,152,152,153,151,151,151,149,149,130,134,138,141,143,146,148,150,150,151,152,153,154,154,155,154,154,154,154,154,154,154,155,154,154,153,153,152,134,137,140,143,146,149,152,153,154,154,155,156,158,157,156,160,158,157,158,158,156,157,157,158,158,157,156,155,136,140,143,147,150,152,154,156,157,158,160,160,159,162,159,124,161,162,161,160,159,161,161,160,160,161,160,158,138,142,146,148,152,156,158,160,160,161,162,162,161,165,175,104,135,170,161,162,162,163,163,164,164,162,162,160,141,145,148,152,154,158,161,161,162,163,165,165,166,164,179,146,103,166,166,165,165,166,166,166,166,165,163,162,143,147,150,154,157,160,162,163,165,165,166,167,170,168,176,176,116,141,175,166,167,168,169,168,168,168,167,165,145,149,153,156,159,162,164,165,167,167,167,168,163,162,178,197,153,113,174,170,170,170,170,170,169,168,168,168,147,150,154,159,162,164,165,166,167,169,169,176,161,97,146,204,183,107,149,178,173,175,173,174,173,171,170,169,148,152,157,161,163,166,167,169,171,172,171,177,180,120,84,185,196,126,116,183,173,175,175,175,174,174,174,172,151,155,159,161,165,167,169,172,173,174,175,173,196,184,129,130,182,150,97,180,175,177,178,177,177,176,175,175,152,156,160,163,166,168,170,173,175,176,175,188,170,210,177,99,116,171,85,168,180,179,180,179,179,178,177,177,154,157,161,164,167,170,173,174,174,176,186,188,127,136,180,114,71,112,81,149,187,178,181,180,180,181,180,180,154,157,161,165,168,172,174,176,173,191,199,172,124,47,139,151,84,55,60,103,190,181,182,182,181,181,182,181,154,158,162,166,169,173,175,176,174,193,206,133,77,12,81,147,114,63,51,67,172,187,183,183,182,182,182,182,155,160,163,168,171,175,175,180,190,169,200,159,91,19,57,135,138,106,63,57,150,192,183,185,185,183,182,182,156,159,165,169,172,175,175,182,205,187,170,201,168,62,71,162,153,133,74,49,139,196,184,187,188,185,184,183,157,160,164,169,173,176,177,179,181,206,176,155,186,135,124,182,159,136,82,44,134,199,186,188,188,186,186,185,156,160,164,168,171,174,175,181,158,167,169,109,159,164,101,187,160,127,92,47,127,199,186,189,188,187,186,187,157,160,164,167,171,174,175,179,191,160,143,120,99,147,170,198,169,126,83,51,127,199,186,188,187,186,186,186,157,160,164,168,171,174,175,178,201,190,146,131,124,201,213,195,162,116,79,54,135,198,186,187,187,186,186,187,157,161,165,168,171,174,177,176,190,198,166,160,157,210,199,181,151,101,78,58,126,199,186,188,188,187,187,187,158,162,165,169,171,174,175,177,184,198,177,188,164,205,191,162,138,103,94,69,116,200,187,188,188,188,188,187,156,162,168,171,175,178,180,183,185,191,189,197,166,180,186,156,142,115,119,77,127,203,189,190,190,190,188,188,91,97,102,104,109,116,120,121,123,184,200,194,176,153,173,157,156,130,117,73,129,184,177,182,184,186,187,188,77,77,76,73,73,75,76,78,71,134,198,179,167,151,152,163,173,133,101,75,80,88,91,93,97,100,99,103,83,84,83,87,89,89,87,86,86,90,175,162,156,150,148,167,172,130,93,73,88,87,85,86,85,84,82,82,81,81,82,85,85,87,86,84,87,77,150,167,155,153,161,156,162,130,89,73,98,96,93,98,97,97,98,99
19,158,161,165,169,173,176,179,180,183,185,186,189,189,190,190,191,192,192,190,191,190,188,188,189,188,187,187,187,159,164,167,170,174,177,180,182,184,186,187,189,190,190,191,193,193,191,191,191,191,191,191,190,189,188,188,188,160,164,169,172,175,179,181,183,185,187,190,191,190,191,193,193,194,193,193,192,192,192,191,192,191,191,190,188,160,165,170,174,178,180,182,184,186,187,190,191,192,194,194,193,194,194,195,194,194,193,193,192,192,192,192,191,162,166,170,174,178,180,183,185,186,189,190,192,194,193,196,197,194,195,197,196,195,194,194,193,193,192,192,191,162,166,170,175,179,182,185,186,188,191,191,191,199,190,146,180,199,196,197,197,195,196,195,195,194,193,192,191,163,167,171,177,181,184,185,187,189,191,193,191,210,197,126,126,203,197,198,197,196,197,197,195,194,194,193,193,165,168,173,178,182,184,187,189,191,191,195,192,216,204,141,103,191,202,198,197,197,198,198,197,196,195,194,194,165,169,175,179,183,185,186,188,193,196,196,192,210,191,142,95,173,206,199,199,199,200,198,195,194,197,195,194,166,169,175,179,183,184,191,194,163,150,168,178,167,158,146,132,144,162,169,162,159,169,150,178,198,182,198,196,166,170,175,179,185,184,202,188,149,147,152,160,166,162,158,149,141,152,172,158,155,162,151,199,206,147,199,197,168,172,178,182,183,194,203,191,163,121,118,121,147,150,152,137,134,137,145,144,141,139,140,156,153,163,203,196,168,173,178,182,185,205,214,199,157,105,96,106,107,107,111,103,102,115,126,130,130,137,144,157,181,201,198,199,168,174,178,180,201,212,215,183,145,116,102,111,114,109,79,116,184,198,201,200,203,208,207,207,206,200,198,199,169,175,176,195,216,214,217,197,154,112,99,99,120,120,99,93,179,214,204,206,206,205,204,202,203,202,201,200,170,174,182,214,214,216,225,206,154,107,96,91,104,124,115,95,85,200,209,206,207,207,205,205,204,204,203,202,172,172,203,217,215,222,222,203,155,110,96,105,101,96,97,110,82,178,216,206,208,208,207,206,205,204,204,203,167,187,219,215,217,220,216,203,165,117,94,92,114,108,87,77,99,207,210,209,209,209,208,208,206,205,204,203,172,211,216,216,217,215,217,212,180,118,97,86,101,112,105,69,153,222,206,209,209,210,209,208,207,206,204,204,205,220,215,217,212,212,218,204,162,122,105,98,94,90,105,83,189,217,209,210,210,211,209,209,208,206,206,205,222,211,216,211,201,200,198,180,144,131,124,113,106,91,76,105,210,212,211,211,211,211,210,209,209,208,206,205,212,210,208,201,199,195,186,173,154,135,122,120,113,102,73,172,223,210,212,212,212,212,212,211,210,209,208,206,206,203,205,199,198,196,186,171,173,154,118,109,115,108,82,188,221,212,212,212,212,212,212,211,209,209,209,209,201,203,203,192,193,192,179,161,163,141,90,88,114,94,127,221,212,214,213,212,212,212,212,211,210,210,209,208,201,206,192,183,182,178,161,139,125,104,71,83,104,98,195,217,212,212,211,211,211,212,212,211,211,209,209,207,202,201,183,163,161,160,136,110,103,93,88,102,128,187,216,210,211,212,212,212,211,212,212,210,210,210,209,208,191,188,176,150,129,129,116,100,94,179,192,197,213,216,211,212,212,213,214,213,212,211,212,211,210,210,209,209,169,177,173,138,99,81,81,64,142,219,211,212,210,211,212,213,215,215,214,214,214,212,212,211,211,210,209,209
0,165,167,169,171,172,174,178,177,179,180,181,180,181,183,186,183,186,186,185,186,187,186,186,187,187,186,187,187,166,168,171,173,175,176,179,180,180,181,183,183,183,186,188,187,187,187,187,188,189,188,189,188,188,187,188,188,166,169,172,176,178,178,180,182,183,186,186,186,187,189,188,187,189,190,188,188,189,190,190,191,190,189,189,190,166,170,173,176,177,179,181,183,184,188,187,188,189,188,188,191,192,189,189,190,192,193,189,192,193,192,192,194,170,173,175,177,178,180,182,185,187,186,190,192,190,198,204,185,185,199,212,185,188,218,165,187,196,195,195,193,173,175,177,179,181,184,184,186,185,200,227,184,162,226,214,166,141,213,220,176,152,218,164,157,203,192,194,195,173,176,179,181,183,185,187,192,187,233,227,195,130,182,212,184,128,155,217,186,129,184,192,136,190,197,195,198,176,178,179,182,186,184,220,210,169,229,220,208,148,167,212,195,139,154,221,190,117,135,204,155,139,181,202,197,177,179,181,185,178,206,239,213,166,203,228,206,165,165,213,200,137,167,220,175,122,79,185,182,157,125,178,204,175,180,183,185,179,228,239,223,185,181,230,204,167,156,223,205,123,169,212,150,106,36,145,200,180,116,152,213,178,181,184,183,192,234,234,235,198,163,226,205,160,153,227,198,113,125,171,134,75,54,188,211,187,122,172,211,179,182,185,179,208,222,211,234,200,149,207,201,151,140,209,180,115,85,138,126,43,111,220,208,177,122,200,207,181,184,186,180,228,228,206,208,160,109,170,178,141,109,152,147,106,74,143,119,86,195,216,197,138,134,212,205,182,185,186,200,239,218,174,185,131,85,142,155,133,81,113,132,71,107,189,191,197,198,193,168,120,160,215,207,183,187,179,214,239,221,182,164,148,102,125,165,142,63,89,130,152,218,225,214,196,170,155,140,113,174,212,207,188,190,183,206,239,231,208,169,149,120,128,185,138,59,115,213,239,228,220,205,184,155,132,125,102,195,212,210,189,190,188,207,239,235,219,198,170,152,158,174,156,177,235,239,233,220,209,192,164,138,126,104,148,217,209,212,188,192,188,213,239,237,226,211,199,169,176,196,222,239,238,234,226,211,189,169,144,129,110,131,214,212,212,211,187,192,188,212,239,238,235,223,213,195,190,211,227,237,238,230,218,201,175,146,127,114,107,201,215,213,214,212,189,193,189,211,239,237,238,230,219,206,199,205,223,236,230,219,210,184,154,128,116,97,173,221,212,214,214,214,188,193,195,206,239,238,238,229,211,197,195,197,212,223,215,198,187,167,133,122,92,149,224,214,216,217,216,215,189,194,196,196,234,238,233,220,204,188,189,194,204,206,190,174,155,139,120,91,130,223,216,217,217,217,216,216,193,199,202,196,227,239,227,215,201,186,196,204,207,199,178,158,130,109,77,103,216,220,217,218,219,219,216,217,174,163,163,147,150,156,141,129,124,118,132,135,130,124,110,105,96,78,89,218,222,215,219,218,220,220,218,218,125,113,114,107,92,90,88,74,67,51,46,36,29,32,27,26,32,36,68,154,217,220,219,220,221,220,219,219,115,118,115,109,103,97,90,76,67,56,51,38,32,30,27,23,21,25,25,6,141,236,217,220,220,220,219,219,125,115,118,113,105,92,87,77,62,56,47,36,30,28,24,19,21,22,27,8,169,232,218,220,220,221,222,222,141,118,119,111,105,92,85,73,59,55,45,36,30,27,23,20,19,22,12,66,234,218,220,220,221,221,223,224
17,119,120,122,123,125,127,129,129,130,131,133,134,134,135,136,137,138,139,141,139,140,141,142,141,141,142,141,142,118,120,122,123,125,129,130,130,131,132,134,135,135,135,137,138,140,141,142,144,142,145,143,142,143,142,142,143,119,121,123,125,128,129,130,130,132,133,133,136,137,137,137,139,140,142,135,129,139,117,138,144,144,143,144,144,120,122,123,126,129,130,131,132,133,134,135,136,136,139,139,141,140,144,139,98,93,78,107,152,144,144,144,144,121,123,125,127,129,131,133,134,135,136,138,139,139,139,142,143,141,145,158,118,69,59,111,153,144,146,146,145,122,123,126,128,130,131,134,134,135,137,137,138,140,140,141,143,143,143,161,127,83,46,124,152,144,147,146,146,122,124,127,128,130,132,134,135,136,137,137,140,140,143,145,143,146,143,161,141,99,56,139,149,147,147,146,146,122,125,128,129,130,132,134,135,137,138,138,140,143,127,130,150,145,144,165,142,104,80,152,148,149,148,148,147,123,127,128,129,131,133,135,136,138,139,139,139,145,130,91,121,152,150,165,137,102,90,153,149,149,148,149,148,123,126,129,130,131,133,135,137,137,137,136,140,152,136,115,96,123,146,163,137,100,85,152,149,150,149,149,149,124,127,130,130,132,135,137,135,142,146,118,99,139,153,149,145,105,77,128,133,106,87,151,150,151,151,150,149,125,127,128,131,135,136,137,136,155,156,115,88,130,137,160,155,132,78,78,113,98,84,150,150,150,150,150,150,124,128,130,133,134,136,136,143,146,130,141,112,117,95,116,168,150,105,63,87,86,78,150,152,151,151,150,150,126,129,130,132,134,136,136,146,156,111,107,99,68,55,61,171,163,126,71,67,72,71,149,152,152,152,151,151,127,129,131,133,135,137,136,152,142,104,89,101,74,73,71,155,174,140,88,62,70,66,145,155,151,152,152,152,127,129,132,134,135,138,135,155,149,131,117,107,88,106,93,139,182,141,103,65,69,66,138,156,151,153,153,153,128,130,133,134,135,137,139,162,141,117,112,104,98,120,122,157,163,143,114,70,62,63,140,156,152,153,153,153,127,130,133,135,137,137,146,159,125,110,105,104,114,117,168,177,142,132,113,69,57,57,142,157,154,154,153,154,128,130,132,135,139,136,152,162,131,117,106,108,114,145,185,170,144,123,105,69,53,58,146,156,155,154,153,153,128,130,133,136,139,136,157,165,135,123,105,111,121,173,171,162,140,117,99,67,53,70,158,153,155,154,153,153,128,131,134,136,139,134,163,163,139,132,112,113,143,184,167,159,133,106,94,65,49,98,163,152,154,154,154,154,128,131,135,138,140,134,170,162,143,138,126,114,155,179,158,156,135,98,86,63,53,137,158,153,155,154,154,154,129,132,135,138,141,136,173,168,147,147,137,120,154,171,153,148,133,98,79,55,77,161,153,155,155,154,154,154,129,133,136,137,140,135,167,173,152,152,141,130,141,166,148,147,125,95,73,50,119,162,153,155,154,154,155,155,128,132,136,138,140,136,157,177,156,146,137,139,136,156,143,151,130,89,71,54,140,160,154,156,155,155,155,155,130,133,136,137,141,139,151,175,153,144,132,136,140,147,138,153,133,90,68,62,152,157,156,157,157,156,156,155,130,133,135,137,140,139,153,170,150,143,132,132,139,145,135,151,123,89,65,89,163,155,156,157,157,156,156,155,129,132,134,137,142,139,157,171,159,145,136,139,143,144,131,147,110,83,61,127,162,155,157,157,156,156,156,156
7,166,165,165,166,165,165,164,163,162,160,160,160,158,157,156,156,155,154,152,151,149,148,147,146,145,143,142,140,168,167,167,167,165,165,165,164,164,162,162,161,159,159,159,158,157,155,154,152,151,150,150,147,147,144,143,142,170,170,168,168,167,166,166,166,165,165,164,163,162,162,161,159,159,157,156,155,154,152,151,149,149,147,145,144,172,171,171,171,170,169,169,168,167,166,166,165,165,164,163,161,160,159,158,157,156,154,152,151,150,149,147,145,173,173,172,172,172,171,171,170,169,168,167,166,166,166,165,163,162,160,159,158,157,156,155,154,152,151,149,148,175,175,174,174,173,173,172,171,171,170,169,168,167,167,167,165,165,164,161,160,159,158,157,155,152,152,150,149,177,177,175,175,175,174,174,174,172,172,171,170,169,168,168,167,166,165,164,162,160,159,158,157,155,153,152,150,179,179,177,177,177,176,176,175,172,170,173,173,173,171,171,170,168,167,166,164,163,161,160,158,158,155,153,152,180,180,179,178,179,178,176,181,165,144,158,147,156,165,170,171,171,169,167,166,165,163,161,159,159,158,155,154,180,180,181,180,179,178,179,194,176,179,165,111,95,107,126,138,151,164,169,168,166,165,163,162,161,160,157,155,182,182,182,182,182,180,187,191,188,194,167,122,106,93,89,97,100,110,131,153,160,163,164,163,162,160,158,157,183,183,183,183,182,182,191,188,193,189,170,161,157,121,85,81,86,88,89,91,104,115,133,152,165,162,160,159,185,185,184,185,182,186,194,195,196,186,178,180,169,141,110,87,84,83,78,82,84,86,89,116,158,161,161,160,186,186,186,186,185,191,194,197,194,184,181,178,165,156,140,111,83,82,78,78,85,85,83,83,102,125,157,161,186,185,186,185,187,195,199,193,186,180,174,169,169,168,152,122,90,80,83,83,95,91,84,80,80,95,150,163,188,187,187,185,189,197,200,193,184,177,164,165,172,168,149,119,95,85,78,100,156,151,136,127,125,139,162,163,189,188,188,182,192,198,197,186,180,175,166,166,169,154,134,111,93,89,85,99,168,175,172,171,169,168,165,164,190,189,188,181,198,202,194,177,177,176,168,163,153,131,121,108,92,93,96,97,157,175,172,172,171,169,167,165,191,190,184,183,202,200,189,177,175,170,162,155,134,123,120,106,95,91,97,125,170,175,173,172,170,168,167,166,192,191,178,189,202,194,184,182,172,165,157,142,128,127,116,102,82,82,122,166,177,176,175,173,171,169,168,166,192,188,175,196,197,187,181,178,164,159,149,137,134,125,107,103,107,146,175,179,177,177,176,174,171,169,167,166,193,178,180,197,192,184,180,171,162,154,143,137,129,114,102,143,177,182,182,180,179,178,176,174,172,170,168,166,189,170,188,192,188,182,174,168,156,144,140,130,117,104,123,178,185,183,183,181,181,179,177,175,173,171,170,168,180,177,189,187,186,182,164,153,140,135,131,118,107,118,169,187,185,184,183,182,181,179,179,177,174,172,170,168,173,185,186,185,184,169,147,135,126,121,114,106,125,170,188,187,185,185,184,181,180,180,179,177,175,173,171,169,171,185,190,190,167,149,135,121,111,104,99,116,174,189,188,187,187,185,184,182,181,181,179,177,175,173,171,170,175,179,191,180,148,147,127,108,99,96,110,161,191,190,189,188,187,185,184,184,182,181,179,178,176,174,172,170,175,176,181,168,149,151,126,100,93,105,167,191,193,190,189,187,187,186,185,185,183,181,180,178,177,174,173,171
24,193,196,198,198,199,200,201,201,201,202,203,204,203,204,203,202,203,203,203,202,201,200,199,198,130,46,32,22,198,199,200,201,202,203,204,205,204,205,206,206,205,205,205,206,205,205,205,205,205,203,202,203,122,32,40,41,200,201,203,204,205,206,207,207,207,208,209,208,209,209,208,208,208,208,208,208,207,206,204,210,151,42,51,60,201,204,205,206,207,208,209,210,210,211,211,212,211,212,211,212,213,212,212,211,210,208,206,208,199,68,49,52,203,205,206,209,209,210,212,212,213,213,213,213,213,214,214,214,215,214,213,212,212,212,210,205,214,128,42,39,206,208,209,210,212,212,214,215,214,215,214,215,215,215,216,216,216,217,216,215,214,214,214,211,216,184,50,30,207,210,211,212,212,214,215,215,215,217,216,216,217,218,218,218,219,220,218,218,218,214,215,215,211,219,76,20,208,211,213,213,219,218,215,216,219,220,219,219,220,220,220,220,220,222,220,220,221,218,217,216,214,222,153,129,209,212,214,217,188,213,220,220,220,220,220,221,221,221,221,222,221,222,221,221,221,221,220,219,215,224,160,181,212,213,215,221,153,165,230,218,221,221,222,221,221,222,223,222,223,224,223,221,222,222,221,220,218,223,171,207,213,215,217,218,169,114,218,221,222,222,222,222,223,223,223,223,225,225,225,228,223,224,222,222,220,220,207,181,214,216,219,221,197,112,164,234,221,223,224,224,225,228,226,226,229,234,210,202,229,224,223,223,223,222,228,176,215,217,220,221,212,163,112,214,230,223,226,227,223,214,225,231,194,229,213,134,184,235,224,224,221,211,190,176,216,220,221,221,223,201,130,136,229,227,224,229,232,181,188,239,152,148,229,145,141,237,225,223,224,196,140,117,216,219,220,220,223,214,181,142,166,232,224,230,248,215,173,200,181,130,224,165,146,235,225,227,231,164,112,132,214,218,219,219,221,221,203,174,148,184,227,228,244,248,187,151,212,139,199,181,153,237,218,237,207,113,167,231,215,217,220,220,221,223,217,192,177,194,200,211,203,249,210,136,183,162,185,201,134,189,200,230,157,129,230,220,215,217,221,222,222,223,225,220,221,217,187,175,161,204,225,150,125,170,181,215,122,126,207,196,125,198,229,220,214,217,219,220,221,222,224,226,240,205,176,154,128,139,214,163,98,185,171,230,146,157,204,150,144,233,222,222,221,225,228,228,230,230,232,231,238,237,205,157,136,146,176,183,109,182,183,147,170,193,185,114,175,234,222,223,161,167,169,174,179,184,189,192,196,243,244,217,155,137,166,187,138,147,207,143,235,191,160,124,227,238,231,226,101,102,101,105,105,102,106,108,96,218,255,247,221,148,153,201,190,170,209,229,216,162,145,118,150,146,158,186,113,111,113,114,112,112,112,116,100,171,255,233,244,192,152,166,241,255,255,239,188,151,127,111,139,177,204,228,113,109,110,109,111,113,112,114,111,123,234,230,245,224,175,153,189,253,246,210,178,133,121,221,243,237,233,238,110,109,109,108,110,111,112,113,116,106,166,247,251,235,188,163,165,230,228,193,169,112,153,215,207,227,223,222,109,110,112,109,110,110,111,112,114,112,111,227,232,207,168,149,158,193,201,172,135,107,207,205,176,194,211,212,108,107,109,110,111,112,110,111,112,115,101,188,224,175,168,162,162,179,186,157,112,121,199,221,163,151,184,208,108,108,108,108,111,114,109,109,110,114,103,162,232,201,201,186,174,179,183,146,100,131,192,215,177,138,176,196
21,122,125,129,135,139,143,147,150,152,153,156,157,158,158,158,158,158,157,156,156,155,154,153,151,151,150,148,146,124,126,130,136,142,145,148,151,153,155,158,159,159,160,159,160,159,157,158,157,156,156,155,153,152,152,150,148,126,128,132,138,143,147,150,152,155,157,159,161,161,161,162,162,170,151,140,159,158,157,157,156,154,153,152,150,127,130,134,140,145,148,151,154,156,159,161,163,163,164,164,162,186,154,115,160,160,159,158,157,156,155,153,152,129,131,136,142,147,150,153,156,158,160,162,164,165,165,165,163,190,152,108,158,161,160,159,160,152,153,155,154,129,132,137,143,148,151,154,157,159,161,163,165,167,166,165,165,196,152,108,158,162,162,162,175,130,138,157,156,131,134,139,145,150,153,156,158,160,163,165,166,166,166,167,168,202,158,114,158,164,163,169,178,113,135,158,157,132,135,141,147,152,155,158,159,162,165,167,168,167,168,169,169,207,160,119,159,166,163,180,168,109,144,160,158,133,135,142,148,152,156,159,161,165,167,168,170,169,169,169,172,209,156,122,160,167,167,191,156,111,152,160,159,134,136,143,149,153,157,161,164,165,168,169,171,171,171,170,178,216,161,123,159,168,174,200,151,119,160,162,160,135,139,145,150,155,159,162,165,167,169,171,172,172,188,181,168,202,171,129,161,168,189,197,140,129,165,163,162,137,140,145,152,156,160,164,166,168,170,172,174,178,220,198,152,135,154,131,164,173,207,186,126,138,167,165,163,138,141,148,154,158,162,166,167,170,172,180,198,174,195,211,160,102,112,128,168,187,208,168,116,151,168,166,165,138,142,149,156,161,165,168,170,172,172,204,226,182,149,198,159,97,89,123,168,192,192,147,122,165,168,166,165,139,144,150,157,162,166,169,172,174,177,218,234,202,135,162,164,106,80,102,144,170,170,128,140,171,169,167,167,141,145,151,158,164,167,171,173,176,183,217,210,206,132,138,189,145,92,82,109,135,138,119,162,173,170,169,167,142,146,154,159,164,168,172,175,177,192,223,200,197,152,118,192,183,126,82,94,118,110,123,174,174,172,171,169,142,147,155,161,165,169,173,176,178,208,228,194,176,160,109,160,191,159,105,79,99,97,131,177,175,174,173,171,143,147,155,162,167,171,174,178,179,218,218,174,147,131,117,132,186,187,144,89,82,90,142,178,177,175,174,172,144,148,156,164,169,172,176,180,181,223,218,171,139,138,144,155,188,209,178,121,83,91,160,180,178,177,175,174,145,150,157,164,169,173,178,181,184,226,218,170,139,152,162,199,209,214,198,152,101,102,175,181,180,180,177,175,144,150,158,165,169,174,178,181,186,227,219,172,143,164,180,221,218,209,194,166,121,115,181,183,181,181,179,176,143,149,158,164,169,174,179,182,186,227,220,172,155,167,195,231,225,207,178,153,121,118,182,183,182,180,179,177,143,149,158,165,171,175,179,183,186,226,222,173,176,167,210,238,226,202,174,131,103,123,184,184,183,181,180,178,144,150,159,166,172,176,180,185,187,222,221,186,193,169,214,240,222,197,167,121,96,141,188,186,184,182,180,178,144,151,159,165,171,176,181,185,186,214,222,205,199,168,208,233,210,184,149,114,101,165,188,186,185,183,181,179,142,149,157,165,171,175,180,184,186,206,226,215,198,166,197,219,189,161,130,105,114,182,187,186,184,183,181,178,137,142,147,151,155,158,160,164,165,182,224,212,191,161,178,204,171,141,120,102,117,159,160,158,157,156,154,161
11,138,141,146,152,155,158,162,164,167,168,169,173,182,162,174,172,172,173,172,172,172,171,170,171,156,174,183,187,140,145,151,156,158,162,165,168,171,173,172,177,195,134,172,177,174,174,173,173,172,171,171,168,168,187,188,192,144,148,155,161,164,167,171,174,176,177,177,182,212,130,157,184,177,177,176,176,175,174,173,169,185,145,185,194,147,152,159,165,169,171,175,178,181,183,182,188,215,127,147,191,181,182,180,180,180,178,177,175,176,180,196,192,150,155,163,170,173,176,181,185,186,188,187,194,210,123,149,195,185,186,186,185,184,183,181,179,178,182,161,187,153,158,168,174,178,182,186,189,191,193,192,203,215,126,155,200,190,192,191,190,189,187,185,182,182,175,161,191,155,161,171,178,182,186,191,193,196,199,195,220,208,112,168,205,196,197,196,195,194,191,189,188,186,184,182,195,158,165,176,182,186,190,194,198,200,204,199,233,208,110,183,208,201,201,201,200,198,196,194,191,190,187,186,202,161,168,180,186,190,194,198,202,205,205,208,214,154,115,189,211,205,205,204,204,203,201,200,196,195,192,189,205,164,172,182,188,194,199,202,205,208,205,235,210,126,111,194,214,208,208,208,208,207,205,204,201,198,195,193,206,167,174,185,192,196,201,205,207,213,213,163,179,155,119,202,216,212,211,212,211,210,208,206,205,202,201,196,204,169,177,188,195,199,204,206,215,245,210,120,120,168,127,195,221,215,214,214,213,212,211,209,206,210,185,127,214,170,180,191,197,201,204,215,181,182,192,153,117,159,130,176,225,215,217,217,216,215,214,215,211,217,142,91,148,172,182,193,199,202,219,231,173,118,140,179,127,133,134,151,227,218,220,220,219,214,205,194,192,186,110,101,93,173,184,194,200,222,225,200,196,168,120,153,135,117,146,124,219,224,223,218,211,211,195,177,176,156,111,100,100,175,186,194,222,226,174,139,173,192,133,116,127,108,167,144,193,229,216,216,216,215,191,168,151,131,102,95,96,177,187,197,231,207,158,128,112,179,137,110,130,96,159,174,132,188,220,225,208,177,148,114,90,89,90,87,94,177,189,197,222,188,140,117,94,154,147,113,142,100,126,166,138,190,216,199,158,123,102,82,85,85,83,88,85,178,190,196,213,185,144,125,107,124,152,122,153,124,167,176,158,183,178,142,100,83,96,92,78,81,83,91,66,177,190,195,217,201,160,135,118,115,132,144,166,161,205,175,142,152,121,81,90,81,83,95,87,73,76,76,73,179,191,197,220,205,168,149,125,125,134,182,217,219,195,157,138,115,89,76,80,89,78,83,90,81,74,73,74,180,192,199,219,210,182,156,130,138,142,204,224,205,177,144,122,70,76,91,71,84,87,76,80,86,74,72,73,174,184,191,213,209,188,160,140,146,145,198,212,185,155,134,111,70,62,89,84,73,85,82,74,78,80,67,73,137,140,135,173,208,193,166,154,150,148,181,201,178,147,125,93,84,56,77,89,79,77,83,76,71,80,70,66,138,138,136,147,200,196,172,163,153,142,171,186,168,138,97,69,93,61,64,86,84,79,77,77,69,72,75,64,139,140,140,142,198,194,176,166,153,133,156,159,141,111,71,63,91,74,53,78,87,78,76,75,70,68,70,70,139,140,141,141,199,201,180,165,150,135,140,141,112,69,73,68,82,87,56,64,86,80,74,76,73,69,66,67,139,140,142,134,188,201,167,153,144,136,138,129,97,67,55,72,75,91,70,55,77,82,73,74,74,68,67,63
3,110,120,126,130,134,138,145,151,153,155,157,159,160,160,162,162,162,166,165,163,164,163,163,165,165,163,162,162,113,124,132,136,139,144,151,155,158,160,162,164,165,166,166,170,175,125,162,169,167,168,168,168,168,167,166,165,120,131,137,143,147,152,157,161,164,167,169,170,171,172,172,179,189,86,133,184,173,176,176,174,173,172,171,170,126,136,142,147,153,157,162,167,171,173,175,176,178,179,178,184,190,83,102,192,180,181,181,180,177,178,176,174,133,140,147,152,158,163,168,173,177,179,180,181,184,185,185,189,195,85,83,192,187,187,186,186,184,182,181,179,136,147,152,157,163,168,174,179,182,186,186,188,189,191,192,195,207,108,76,192,193,192,192,191,191,189,186,185,140,151,158,161,168,173,179,183,186,190,191,193,196,195,194,187,219,117,61,183,201,197,198,196,195,194,191,188,144,154,161,165,171,177,183,189,190,193,196,197,197,207,227,169,130,107,82,174,207,202,202,201,201,199,195,192,148,159,165,170,176,182,188,194,197,200,204,209,182,167,244,212,109,179,108,162,216,205,206,205,204,202,200,199,153,162,168,173,180,185,192,198,202,200,186,231,225,160,200,218,150,190,70,119,226,206,209,209,207,206,206,204,155,165,172,176,184,189,195,200,204,218,191,171,230,192,165,208,136,182,113,69,197,220,213,213,211,210,209,208,158,168,175,181,188,193,198,202,208,230,238,173,139,209,147,196,134,158,171,92,117,231,216,216,215,214,211,212,160,171,177,184,190,195,201,206,215,188,179,162,75,173,114,183,207,115,174,115,92,228,220,220,217,217,216,215,163,174,180,185,192,197,205,209,220,182,126,159,70,142,117,97,117,45,145,122,95,229,224,224,222,221,220,217,167,176,182,189,195,200,207,209,219,221,170,138,104,110,184,97,6,42,183,131,88,227,226,226,224,222,222,223,168,178,184,191,198,203,208,212,224,217,141,89,70,51,129,86,36,113,214,136,72,206,233,227,226,225,224,224,170,180,186,192,199,205,211,214,223,219,170,120,85,52,54,97,146,183,185,126,69,198,240,229,231,230,227,225,173,182,189,195,201,207,213,215,225,238,191,126,94,93,107,197,245,218,155,100,81,218,238,233,233,231,230,229,174,183,191,196,203,210,215,216,224,239,202,147,122,122,131,233,246,194,145,80,96,238,235,234,235,234,232,229,174,185,192,198,205,211,215,219,224,234,213,168,134,118,145,234,231,175,130,70,125,250,235,238,237,235,234,232,175,183,191,198,204,209,214,221,224,227,212,170,144,140,141,227,221,162,113,64,164,251,237,240,239,239,236,233,176,184,192,199,206,210,214,219,223,221,210,179,163,157,129,214,200,146,97,68,199,249,236,238,238,238,235,233,177,186,193,200,207,211,215,220,223,226,210,187,164,157,118,178,178,125,86,82,225,244,238,238,237,235,236,237,177,185,192,198,205,211,214,219,222,223,224,193,164,144,99,142,140,97,73,144,250,238,241,240,240,242,227,194,181,193,200,206,214,221,225,228,231,225,237,192,162,127,100,121,107,87,90,222,243,243,233,239,229,221,188,142,118,125,131,140,149,155,161,172,173,216,237,194,170,129,117,115,104,70,144,243,199,194,217,168,184,207,141,134,86,87,88,89,90,88,88,93,90,203,226,191,171,159,127,105,88,65,207,255,205,168,187,176,143,188,103,154,95,96,100,101,100,105,111,106,116,222,212,168,162,166,115,93,69,106,192,237,209,185,142,182,154,142,100,173
18,233,233,233,234,234,235,236,236,236,236,236,236,236,235,234,234,235,235,236,235,234,233,232,231,229,228,227,225,234,235,235,236,236,236,237,237,237,237,236,237,236,235,236,236,236,236,236,235,234,233,232,233,230,229,228,228,236,237,238,238,238,239,238,238,237,237,237,237,237,238,237,236,237,239,236,238,234,233,232,233,232,230,229,229,238,238,238,239,240,241,239,239,238,237,239,238,239,238,237,238,237,245,231,226,239,235,234,234,232,231,230,230,238,239,240,240,239,241,241,242,240,239,240,240,237,240,241,239,238,255,232,192,223,239,236,235,235,235,233,230,241,242,242,241,241,242,241,242,242,242,243,240,255,255,226,235,255,255,254,206,209,234,233,237,235,233,232,233,242,242,243,242,242,243,243,245,241,243,242,255,255,255,221,203,249,255,255,255,255,245,200,200,236,232,233,235,243,243,243,243,244,244,246,242,248,255,235,252,255,252,228,194,247,245,255,255,255,255,202,154,218,239,235,236,244,244,245,246,246,245,241,248,255,255,231,204,255,248,220,201,255,233,235,255,255,250,195,146,186,242,235,235,244,243,244,245,243,246,241,255,255,255,238,204,255,255,218,200,255,246,201,255,255,253,186,143,172,246,237,238,246,246,245,246,248,242,255,255,255,255,243,200,255,255,220,204,255,243,210,255,255,251,181,136,188,249,236,238,247,249,249,249,247,248,255,255,255,255,251,203,255,255,218,192,248,225,209,255,255,240,175,133,218,247,239,240,249,250,248,250,247,255,255,255,255,255,244,196,230,241,212,164,190,183,233,255,255,225,168,151,245,242,242,241,250,249,250,247,255,255,255,234,240,233,199,161,191,215,177,123,204,243,255,255,255,213,156,196,252,242,243,242,251,252,254,249,255,255,255,236,215,212,176,138,209,211,151,218,255,255,255,251,241,201,156,234,250,244,243,243,252,253,255,248,255,255,255,248,205,196,178,130,225,198,239,255,255,255,246,224,223,181,154,244,247,248,246,244,252,253,255,252,255,255,255,255,230,200,188,177,171,237,255,255,255,255,231,204,198,156,185,255,246,248,246,246,254,255,255,255,255,255,255,255,244,214,201,201,230,255,255,255,255,250,212,189,181,136,213,255,249,249,249,247,255,255,254,255,255,255,255,255,255,227,222,242,255,255,255,255,255,233,197,180,154,162,249,252,251,250,250,249,255,255,254,255,255,255,255,255,255,247,238,255,255,255,255,255,255,220,186,172,137,223,255,251,252,251,251,249,255,255,254,255,255,255,255,255,255,252,246,255,255,255,255,255,232,209,174,148,160,255,254,253,251,252,252,249,255,255,255,255,255,255,255,255,255,251,249,252,255,255,253,254,219,189,159,129,214,255,252,254,251,253,251,252,255,255,255,255,255,255,255,255,255,244,245,251,255,249,241,239,216,168,140,149,254,254,253,253,255,252,251,255,255,255,255,255,255,255,255,255,246,235,237,243,255,243,231,222,191,149,117,207,255,254,255,254,253,252,253,211,255,255,255,255,255,255,255,255,250,249,239,242,255,231,208,191,159,115,151,255,255,255,254,255,255,255,202,138,209,201,187,231,255,255,255,255,255,255,236,240,255,209,181,161,121,119,247,255,255,255,255,255,232,193,149,137,161,160,153,158,164,165,169,173,181,200,186,203,212,179,156,134,98,214,255,255,255,255,229,174,148,134,128,120,181,149,150,152,145,140,133,126,115,110,110,113,114,107,103,101,94,125,147,175,224,224,139,140,144,138,129,119
3,174,175,175,175,175,175,175,177,175,175,174,173,172,172,172,171,171,169,167,165,164,162,162,160,159,158,157,155,175,175,177,177,177,176,176,177,176,175,176,174,173,173,172,171,165,168,168,166,165,163,161,161,160,158,158,156,177,177,178,178,178,177,177,178,178,177,176,175,174,174,170,185,132,149,172,166,167,165,163,162,160,159,159,157,179,178,179,179,178,179,178,178,178,177,178,177,175,173,178,181,112,152,174,167,166,166,165,164,162,160,160,159,180,180,181,182,180,180,180,180,180,179,179,178,178,173,194,155,110,170,173,169,168,166,166,165,164,162,159,159,183,182,183,184,183,183,182,182,181,181,179,180,177,184,194,123,133,179,172,173,172,170,168,167,165,164,162,160,184,184,184,185,185,185,184,185,184,182,182,182,177,203,179,112,155,182,175,175,173,173,170,168,167,166,164,163,185,186,187,187,186,186,186,186,185,184,185,180,194,197,149,112,174,182,179,178,174,173,172,170,168,167,165,165,187,189,189,189,189,189,188,188,187,187,187,184,200,179,116,138,179,170,176,178,179,175,172,172,170,170,168,166,189,190,191,191,191,190,192,190,190,189,188,186,195,183,151,159,176,170,176,169,164,175,176,172,174,173,171,169,190,191,193,193,192,192,193,192,192,191,190,189,197,203,187,161,162,163,165,178,162,131,172,179,168,169,174,171,192,193,194,194,193,194,193,193,193,192,192,189,213,193,171,174,166,147,142,130,153,139,126,151,156,133,167,175,195,195,195,195,195,197,196,195,194,195,191,200,217,194,177,164,150,136,115,117,98,145,145,122,132,127,171,175,197,196,197,196,196,197,197,196,196,195,197,220,207,167,127,116,144,136,122,116,104,103,132,115,106,166,179,175,198,198,199,199,198,199,198,198,197,196,215,221,173,130,100,85,158,181,137,119,109,107,91,102,135,185,176,176,199,199,200,200,199,199,199,200,196,207,229,199,140,110,96,87,113,198,192,173,132,103,109,108,152,185,178,177,200,201,202,201,202,201,201,202,191,219,225,180,136,114,92,86,81,123,189,210,149,98,119,113,171,185,179,178,202,203,202,203,203,202,202,204,190,212,210,182,137,101,89,84,87,81,107,148,106,117,124,124,183,185,181,180,203,203,203,204,203,203,203,205,195,205,218,191,145,110,90,88,92,101,102,99,100,126,123,132,188,184,182,180,204,205,205,205,205,205,205,206,194,203,224,192,157,123,97,93,103,109,118,129,122,124,123,142,192,185,183,182,205,206,206,207,206,206,206,207,194,200,230,199,162,131,112,95,106,119,134,142,133,121,113,155,194,185,185,184,206,207,207,207,207,207,207,209,195,195,232,202,166,142,126,99,106,131,144,144,135,118,127,184,190,187,186,185,206,206,207,208,209,209,209,210,197,190,225,199,172,145,129,105,108,133,139,135,128,121,177,197,190,190,187,186,207,208,209,210,209,209,209,211,200,189,223,203,177,147,126,111,110,127,133,130,118,139,197,193,192,190,189,187,209,209,210,211,211,210,210,212,204,188,216,202,176,146,127,119,114,125,129,126,120,174,199,193,193,192,190,188,209,210,210,210,211,211,211,212,206,196,216,195,171,147,133,126,116,121,126,122,161,200,196,195,193,192,190,189,209,210,210,210,210,210,211,212,206,195,220,195,174,153,138,127,121,122,124,158,202,198,198,196,194,193,190,189,210,211,211,211,211,212,212,213,204,194,213,188,171,153,132,125,126,122,142,200,202,199,199,197,196,195,191,190
1,177,178,179,179,179,181,183,182,183,184,184,181,169,179,182,182,181,180,179,179,178,178,177,176,174,174,173,172,180,181,181,182,184,184,184,185,185,189,191,186,145,135,190,184,187,184,183,184,182,181,181,180,180,179,177,175,182,184,184,185,187,187,187,189,189,178,173,196,163,93,119,139,188,189,187,187,186,185,185,183,181,181,181,179,185,186,188,187,189,190,191,191,193,171,110,181,177,84,101,117,144,201,186,189,188,187,186,186,184,182,182,181,187,189,190,190,191,192,194,194,193,186,112,155,182,91,109,140,95,197,192,192,191,190,189,187,187,186,185,185,188,191,192,194,194,194,195,197,195,197,124,126,188,114,120,153,87,179,200,193,193,192,193,192,189,188,188,188,191,193,193,194,195,196,197,188,185,203,141,108,170,113,128,171,99,158,206,194,196,195,195,194,193,192,190,189,194,195,195,195,197,199,201,168,128,202,157,91,156,116,118,169,106,147,210,196,199,197,195,195,195,195,194,190,195,196,197,198,199,201,202,183,108,183,161,85,162,140,90,172,123,136,211,198,200,198,198,198,197,197,196,195,196,198,200,200,201,201,204,186,111,169,181,97,140,151,88,168,152,128,213,199,201,200,199,200,200,200,197,197,197,200,201,201,202,202,206,191,114,158,191,102,101,136,125,164,128,114,204,205,204,203,202,201,202,201,200,200,199,203,203,202,205,204,206,195,127,122,183,103,104,128,130,151,107,104,107,141,214,202,202,202,202,200,200,201,202,203,205,205,207,207,204,202,142,99,165,127,131,122,132,145,136,114,83,88,193,209,204,204,203,201,201,202,202,204,205,206,207,209,205,200,156,134,148,124,134,122,151,175,135,92,128,117,140,218,204,206,205,203,202,202,203,206,207,209,208,209,210,206,175,145,136,118,130,133,156,165,141,140,190,160,114,201,209,207,206,206,205,204,204,207,209,209,210,210,211,211,181,141,122,116,127,136,164,171,175,167,153,171,109,151,220,205,207,206,206,206,206,207,209,209,211,212,210,214,193,147,111,117,130,141,178,180,200,198,164,136,90,94,215,208,208,207,206,206,207,209,211,211,212,215,210,213,213,166,118,120,132,159,177,185,195,188,163,133,85,79,206,213,211,207,207,208,207,209,212,213,211,214,214,210,221,191,143,116,135,167,182,198,202,185,162,140,81,107,219,210,212,210,209,209,209,210,213,215,215,216,217,206,223,212,172,129,130,158,190,209,203,189,176,138,73,145,227,211,213,213,212,210,209,210,214,215,217,217,219,206,218,221,190,147,138,155,191,214,206,200,174,123,72,181,223,213,214,214,212,210,211,213,214,216,216,216,218,211,206,216,204,160,148,154,187,204,215,199,156,104,85,212,217,215,215,215,214,211,211,215,214,216,217,216,218,219,193,204,205,171,149,147,177,198,198,172,130,80,115,230,217,216,216,215,215,213,209,213,213,215,216,216,217,221,198,186,192,174,156,149,158,173,163,129,94,70,180,226,216,216,216,215,215,214,210,214,213,215,216,217,217,218,216,180,181,175,162,157,136,139,143,113,69,129,227,217,218,216,216,215,214,212,211,214,214,215,216,217,218,218,222,195,188,173,155,152,125,125,130,95,71,200,223,217,217,216,216,215,214,212,212,214,214,215,216,217,218,219,221,199,190,163,147,149,133,126,111,74,103,225,217,219,218,217,216,216,216,213,212,213,215,216,216,217,217,218,224,196,199,188,168,167,145,133,103,66,125,230,218,220,220,218,217,217,216,213
7,157,158,159,159,159,158,158,158,158,158,158,158,159,158,157,157,156,154,127,62,42,59,71,79,98,120,138,155,160,161,162,161,161,161,161,161,161,161,161,161,160,160,159,159,158,154,115,57,51,67,70,75,96,120,141,156,163,164,164,164,164,164,165,165,165,165,164,164,163,163,161,161,159,153,107,62,63,67,68,73,95,124,145,158,166,167,167,167,167,167,167,167,168,167,166,163,161,163,162,159,156,153,127,107,108,79,67,80,103,133,151,155,170,170,170,170,170,170,169,170,172,172,171,162,154,161,165,159,150,147,140,148,157,105,71,85,113,144,153,150,173,173,173,173,174,174,174,177,182,184,179,167,158,161,159,156,150,145,141,143,152,115,88,104,129,154,156,149,177,177,176,176,175,178,183,188,191,189,182,172,167,159,144,146,155,152,148,142,137,121,117,138,144,158,162,155,180,180,182,181,178,181,187,188,187,183,180,177,171,158,144,146,153,147,143,136,122,113,111,126,133,156,167,166,182,184,195,192,184,182,185,184,183,182,179,176,167,152,142,136,129,120,117,112,102,104,107,108,116,151,168,173,184,190,202,195,180,176,180,182,181,176,168,159,146,132,127,125,124,125,130,124,117,145,143,131,119,150,166,173,187,194,202,190,170,165,170,170,164,151,137,126,109,105,122,146,163,169,173,157,143,165,147,152,129,146,163,169,189,196,198,184,167,164,162,151,136,123,124,130,115,113,118,119,158,182,183,174,157,138,138,165,133,136,157,161,191,198,198,188,183,175,162,151,144,144,146,145,138,134,130,100,128,181,184,182,171,146,160,176,136,124,150,155,194,200,202,203,202,183,158,153,154,153,149,141,136,132,121,97,127,182,187,185,180,171,170,174,149,126,146,155,197,202,205,209,203,180,153,146,141,134,132,130,125,118,104,107,162,188,188,187,185,183,180,171,158,147,152,156,199,204,207,206,193,174,159,148,130,114,117,125,122,115,106,119,175,191,190,189,188,184,166,141,142,153,155,157,204,207,206,199,186,176,174,169,144,124,129,138,134,122,115,117,161,192,192,191,191,189,164,137,144,152,154,158,208,209,203,193,184,179,184,178,148,127,128,131,124,114,107,109,158,193,193,193,193,192,179,156,156,151,151,156,207,207,201,192,185,186,190,174,143,124,120,117,112,104,100,124,178,195,196,195,193,193,187,168,159,151,147,151,205,205,199,191,188,189,182,160,134,116,105,97,92,92,114,165,195,197,196,195,194,194,192,176,162,155,145,143,201,200,194,188,186,179,164,147,130,116,102,96,106,133,169,195,199,198,197,196,195,195,194,181,165,162,150,137,196,194,190,186,182,171,157,145,129,118,133,159,176,192,200,202,200,199,199,199,198,197,195,183,166,167,160,146,191,189,187,183,177,168,157,140,116,120,174,201,203,204,203,202,202,201,200,200,199,197,195,182,164,166,165,156,187,182,181,177,167,156,142,118,105,150,200,207,206,206,204,204,203,202,201,201,200,199,196,183,164,164,163,159,183,175,169,162,150,136,117,102,129,188,207,208,208,208,207,206,204,203,202,202,201,200,198,183,165,164,161,156,173,166,157,143,126,109,98,117,175,205,209,209,209,208,207,206,205,204,203,203,202,201,198,181,166,164,160,154,157,149,139,123,104,97,118,169,204,210,210,210,210,209,209,208,207,205,204,204,203,202,194,175,166,165,160,153,143,135,126,111,98,120,170,203,210,210,210,210,210,210,210,209,208,207,205,205,204,202,188,170,168,167,162,155
22,95,98,104,112,120,126,131,133,137,141,144,148,150,152,154,156,156,158,158,157,158,158,156,156,156,155,155,154,96,99,105,114,122,128,133,135,139,143,146,150,153,154,156,158,158,160,161,160,160,160,159,158,158,158,158,156,96,100,105,115,123,130,135,137,141,146,150,153,155,155,158,160,161,161,162,163,162,162,162,162,161,160,160,160,97,101,106,116,124,132,137,138,142,147,152,152,158,158,160,162,162,164,164,166,168,166,165,164,163,165,163,162,98,102,108,118,126,135,139,140,144,149,152,174,138,153,164,163,165,166,170,160,151,170,167,166,166,150,163,164,98,101,108,119,128,136,140,142,146,149,161,197,118,139,169,164,168,168,184,149,105,172,168,176,166,104,143,171,99,101,109,120,129,136,140,143,149,151,164,202,127,134,173,166,169,173,186,130,106,178,171,185,159,99,156,172,99,101,110,121,131,138,142,144,151,153,162,206,144,130,175,170,170,183,185,111,133,181,187,179,122,116,177,169,100,103,111,122,132,140,143,146,153,155,163,211,162,123,174,172,173,179,168,101,154,185,195,169,110,156,178,172,100,103,112,124,133,141,144,147,154,158,163,206,165,118,168,175,178,187,152,93,174,194,173,137,120,180,175,174,101,103,112,124,134,142,146,149,155,161,162,202,183,128,157,177,186,201,139,96,209,206,166,105,151,183,176,176,100,103,113,125,134,143,148,150,156,163,161,198,195,143,148,183,184,191,98,129,224,197,148,108,181,179,180,178,100,103,114,126,135,145,148,151,157,164,163,182,190,133,112,169,175,180,154,194,201,177,110,132,191,180,181,180,102,104,114,126,136,146,149,152,158,164,166,167,189,130,134,176,182,188,205,200,185,139,93,173,187,182,181,181,101,105,116,128,138,146,150,153,157,168,182,141,177,153,156,199,179,194,193,195,165,104,130,195,184,185,182,182,101,104,116,128,138,148,150,154,155,187,190,162,147,152,138,161,178,194,189,173,142,98,164,194,186,186,184,184,102,105,116,128,138,148,152,156,159,183,183,185,175,172,135,88,137,172,170,141,130,97,177,193,188,188,186,185,102,105,118,129,139,148,152,157,159,177,188,166,173,162,130,112,91,100,124,122,112,97,190,193,190,189,188,187,101,106,118,130,142,149,153,157,158,183,182,163,147,139,150,139,118,93,89,85,106,94,188,194,191,189,189,188,102,105,118,131,141,149,154,158,161,179,215,188,143,136,148,156,138,119,114,90,78,87,183,195,192,191,190,190,102,106,118,130,141,150,154,157,162,173,224,180,163,161,184,193,153,132,124,86,69,79,185,195,192,192,190,190,101,106,118,131,142,151,154,157,164,170,221,190,171,192,214,206,168,140,121,84,66,90,196,193,193,192,191,191,101,105,119,131,143,152,154,157,166,168,214,200,172,190,214,185,166,130,114,89,61,111,205,193,195,193,192,192,100,105,119,131,143,150,154,159,167,167,203,210,187,182,215,173,168,151,114,90,60,119,207,194,196,194,192,192,98,104,119,132,143,151,153,159,166,168,190,213,194,170,207,180,163,155,116,83,59,134,207,195,196,195,193,192,97,103,119,131,142,150,152,158,166,173,186,208,197,158,187,176,150,138,101,76,66,167,203,195,196,194,193,192,96,102,118,131,142,150,153,159,168,163,138,189,189,144,146,146,123,107,84,74,87,196,198,196,197,194,194,193,95,101,117,130,142,150,153,157,173,108,29,156,175,128,137,142,128,104,91,70,112,208,196,197,196,195,194,195
19,125,126,127,128,130,131,131,131,131,131,131,131,131,130,131,130,130,129,128,128,128,127,127,126,125,124,124,124,126,126,128,129,130,131,132,132,131,131,131,132,131,131,132,131,130,130,130,129,129,127,127,127,126,125,126,124,126,127,128,129,130,132,133,132,133,132,132,132,131,131,133,132,131,130,130,131,130,128,128,128,127,126,126,126,126,128,129,131,131,131,133,132,133,134,134,133,132,133,133,132,131,131,131,131,131,129,129,128,128,127,126,126,127,129,129,131,132,132,133,134,135,133,132,134,136,132,133,133,132,132,131,131,131,131,130,129,128,127,127,126,128,132,131,132,134,135,135,134,136,139,123,105,123,137,134,135,134,133,132,132,132,132,131,130,129,128,128,127,130,131,133,134,134,135,135,136,136,160,143,116,81,123,139,134,135,134,133,133,132,132,132,131,130,129,128,128,130,131,132,134,134,135,137,139,132,153,164,136,92,70,136,135,136,134,134,134,134,132,133,131,130,130,129,128,132,133,133,135,136,137,138,138,137,141,162,140,103,52,104,144,135,136,134,134,133,132,132,132,131,130,130,129,133,134,134,137,137,138,139,140,135,140,156,132,97,55,79,146,135,136,135,133,134,133,132,131,131,131,131,130,132,134,136,138,137,139,141,139,147,170,150,126,113,78,86,137,135,140,139,137,135,134,134,133,132,131,131,130,133,135,138,139,140,141,140,139,175,164,138,122,130,140,135,125,118,120,125,134,138,136,136,133,133,133,131,131,135,137,138,140,140,142,136,162,171,143,105,86,105,138,153,152,142,131,111,113,116,128,134,137,134,132,132,132,136,140,138,139,140,140,149,181,166,149,124,84,69,98,130,143,149,149,138,128,121,125,115,116,127,136,135,131,138,140,139,141,143,139,170,174,154,140,126,121,103,96,101,108,114,125,135,144,149,152,138,110,104,102,126,135,138,139,139,142,141,149,173,162,132,112,112,105,128,132,117,106,94,81,89,104,114,134,144,137,122,94,90,118,137,139,142,144,142,168,186,168,132,109,103,97,103,133,139,131,115,87,69,106,121,115,115,116,115,115,111,118,139,141,141,140,152,182,183,161,135,122,123,124,120,106,113,127,125,105,90,85,139,143,135,125,116,112,109,111,140,141,143,141,166,181,172,148,128,127,137,136,136,119,66,98,100,105,107,82,123,146,141,142,141,137,130,127,140,142,140,155,177,178,167,136,112,95,122,148,149,145,83,99,80,80,82,96,141,143,142,141,140,140,140,139,140,140,145,173,174,185,167,133,110,97,86,115,126,137,132,112,92,87,79,137,144,142,142,142,140,139,139,137,141,139,157,176,180,187,158,128,118,117,117,107,86,107,143,123,105,83,126,149,142,142,143,143,140,138,137,136,142,143,171,177,183,173,156,134,126,122,121,113,104,99,99,98,92,112,147,144,144,144,142,141,141,140,139,138,138,153,178,177,175,168,154,140,129,129,127,113,98,93,95,75,121,149,145,144,145,144,143,142,141,140,139,139,138,164,177,174,174,163,144,131,115,115,122,114,105,100,90,112,155,147,145,144,145,145,144,144,142,141,141,140,142,171,174,170,168,157,144,117,90,78,84,96,95,98,114,144,150,148,148,146,145,145,145,144,143,142,141,140,154,172,164,157,156,140,116,93,78,58,108,143,132,140,151,149,149,148,148,148,146,144,144,144,142,141,140,139,169,168,150,146,135,114,93,82,77,66,142,157,154,152,150,149,150,149,148,147,146,144,144,144,141,141,141,139
13,183,184,186,189,189,190,192,192,193,194,194,193,193,194,194,193,191,190,189,188,189,188,185,183,182,179,178,178,183,185,187,190,191,193,193,194,195,195,197,198,201,195,196,198,198,192,191,190,188,188,187,186,185,182,180,179,185,187,188,191,194,195,195,196,196,197,183,153,162,204,181,150,160,198,193,193,191,190,189,188,186,186,183,181,186,189,190,192,195,195,196,199,198,202,182,147,117,151,160,129,83,166,204,193,193,192,191,189,187,186,185,182,187,189,192,194,195,197,198,200,198,211,206,166,140,86,150,146,93,121,210,194,195,194,192,191,188,187,186,184,187,191,193,195,196,198,199,200,200,202,209,168,134,83,122,140,92,102,207,197,196,194,193,192,191,189,187,185,188,192,195,197,198,199,200,201,206,207,198,165,126,87,93,115,79,93,206,197,197,195,194,193,193,191,189,186,189,193,195,197,200,201,202,201,189,193,182,164,129,100,89,127,81,104,209,197,199,198,197,195,194,193,190,187,191,193,195,198,201,202,202,186,136,114,123,168,167,117,99,136,93,110,213,198,200,200,197,195,194,193,191,189,191,195,197,199,202,202,214,185,136,121,97,166,183,128,89,121,89,71,186,207,200,201,199,197,196,194,193,190,193,195,197,200,200,194,158,162,157,144,104,85,131,94,81,91,89,83,121,211,201,201,199,198,198,195,193,191,194,196,199,198,208,186,123,108,169,149,130,65,38,46,74,95,109,121,88,174,210,200,200,199,199,197,194,192,194,197,197,209,216,167,137,114,139,160,130,102,44,72,79,114,136,134,94,120,216,201,201,200,199,197,195,194,195,198,200,215,174,166,154,136,107,151,139,117,59,84,144,155,140,120,98,104,213,202,201,201,200,198,196,194,194,197,201,216,171,142,150,131,108,123,128,92,56,96,160,169,150,113,82,120,216,203,203,203,201,200,197,194,195,197,205,204,172,129,119,119,90,69,96,85,65,122,169,162,147,112,67,151,218,204,203,202,200,200,197,194,196,199,202,205,195,165,122,92,68,55,92,99,100,176,179,154,138,105,69,185,215,206,204,202,201,200,198,195,197,200,201,203,199,177,148,129,110,108,120,119,168,198,170,144,126,96,85,209,209,207,206,203,202,201,199,196,198,201,202,202,196,183,160,136,117,120,159,191,192,181,160,137,118,82,109,221,208,208,206,203,202,199,199,198,197,201,203,205,185,170,156,134,119,122,149,188,182,168,146,125,110,68,139,223,208,209,207,204,202,201,200,200,197,200,204,206,178,168,158,139,133,126,140,178,181,165,136,112,99,62,178,220,210,209,207,205,202,201,201,199,198,200,203,208,194,168,160,147,138,125,133,171,172,152,122,101,75,88,217,211,211,209,208,206,203,201,201,199,196,200,202,207,208,175,160,151,135,123,121,150,157,136,108,93,58,158,224,211,212,210,208,207,204,203,202,200,198,200,204,207,211,204,168,146,130,124,120,136,151,130,107,83,78,211,214,213,211,210,209,207,205,204,203,200,198,201,205,208,209,210,184,156,136,129,135,136,146,131,104,73,128,227,212,213,212,212,209,207,207,206,203,200,198,201,204,206,207,204,192,166,159,157,152,143,146,127,96,73,172,223,211,212,210,210,209,206,206,204,202,200,196,199,202,207,206,195,201,178,171,164,154,150,137,116,90,79,200,216,212,210,208,208,207,204,203,201,199,198,196,200,202,206,206,192,207,183,173,172,154,140,119,111,81,91,215,212,212,210,210,209,208,206,204,201,199,198
24,93,101,110,123,132,138,144,149,154,157,161,164,166,167,168,167,165,164,164,163,161,158,156,156,155,151,148,145,96,102,113,128,137,143,149,153,159,163,166,169,172,173,173,173,172,171,170,169,168,165,164,162,160,157,153,152,99,105,117,131,140,147,152,157,163,168,171,175,177,177,177,178,177,177,176,176,174,171,170,168,167,164,160,158,101,108,120,134,143,150,155,160,166,171,176,179,180,179,182,182,182,182,181,179,178,176,175,173,172,170,166,163,104,109,121,137,147,154,160,163,169,174,179,183,184,185,186,185,185,184,184,183,184,182,180,179,178,176,172,169,107,112,133,143,149,157,162,167,172,177,182,186,187,186,188,189,189,188,187,186,186,186,185,184,184,182,178,175,104,131,143,102,158,159,165,170,175,180,184,187,190,190,191,192,191,191,191,190,189,189,190,188,187,186,183,180,105,143,129,57,156,162,166,172,178,183,187,189,189,192,193,195,200,195,192,194,192,191,193,194,190,187,186,184,106,151,128,51,150,166,169,176,182,184,188,192,200,197,198,169,138,192,196,192,195,197,194,189,197,192,188,185,109,157,115,45,148,169,171,175,179,191,189,191,151,172,231,170,86,103,202,198,189,167,149,101,120,201,191,196,111,150,109,43,148,170,182,163,115,158,209,199,108,73,150,181,126,63,172,187,171,134,82,49,157,215,190,155,112,150,125,46,139,171,201,197,154,127,191,202,130,84,72,181,146,84,112,144,183,101,59,155,176,112,36,7,115,152,143,58,117,177,192,226,213,165,113,202,160,124,76,160,148,77,55,168,149,56,47,61,13,0,0,0,121,142,166,119,124,166,191,188,225,194,118,132,192,134,68,98,123,50,90,189,96,37,1,0,8,14,7,3,123,129,180,157,147,170,192,141,167,199,123,61,183,159,81,28,45,55,153,157,61,8,0,0,0,12,7,0,126,129,166,181,174,199,200,174,141,163,117,42,148,178,91,13,22,123,163,116,35,0,0,6,0,0,9,5,127,135,155,210,185,165,173,156,121,137,126,69,84,127,55,45,85,128,124,77,8,0,0,0,0,0,0,10,125,138,149,208,187,144,159,142,97,105,130,101,66,64,121,153,140,137,91,44,0,3,0,0,0,0,0,2,127,140,150,196,198,124,111,125,105,107,130,144,116,139,218,200,162,149,73,23,0,0,8,0,0,0,0,0,85,93,88,140,203,144,93,111,155,119,174,211,186,214,226,191,160,138,60,22,0,0,0,4,0,0,0,0,71,75,66,96,209,180,120,92,141,138,188,210,219,232,216,178,150,120,48,9,0,0,0,5,0,0,0,0,77,80,80,83,191,195,147,107,108,146,172,218,225,220,197,164,138,110,41,0,0,0,0,0,0,0,0,0,79,81,84,75,167,206,171,130,108,138,157,215,224,209,183,152,126,107,45,0,3,0,0,0,0,0,0,0,77,79,84,72,139,208,184,146,126,137,145,200,217,194,172,148,116,98,43,0,0,0,0,0,0,0,0,0,76,79,81,75,104,198,188,161,137,143,135,183,207,182,168,147,100,83,33,0,0,0,0,0,0,0,0,0,76,77,78,80,78,168,189,173,148,152,132,156,192,175,172,138,84,72,12,0,0,0,0,0,0,0,0,0,76,77,77,79,74,110,191,182,161,153,138,130,167,166,157,123,75,63,0,0,0,0,0,0,0,0,0,0,75,76,76,77,80,73,153,188,166,152,134,113,128,147,129,102,72,48,0,0,0,0,0,0,0,0,0,0
4,181,181,182,183,182,183,182,182,182,182,181,183,183,182,183,184,183,183,183,182,182,182,181,182,181,180,179,177,183,183,183,183,182,182,184,184,183,184,183,182,182,186,183,184,185,184,183,183,183,183,181,182,182,180,179,180,185,184,184,184,184,184,184,184,185,185,184,183,181,185,189,185,186,188,191,186,183,183,184,183,183,182,181,182,184,185,185,184,187,185,185,186,186,185,184,199,184,154,160,186,171,146,169,193,189,186,183,184,184,183,183,183,184,184,186,187,188,188,186,184,188,183,174,187,217,180,125,175,192,142,101,168,160,174,190,183,184,184,184,184,187,187,187,188,189,188,188,185,199,208,191,133,183,208,127,169,207,157,104,166,145,99,165,195,185,186,186,184,188,189,189,188,188,189,188,190,197,201,195,142,152,202,114,153,217,151,127,194,160,101,96,193,187,187,187,187,188,189,189,190,189,191,185,202,191,181,202,129,131,195,126,118,196,122,117,194,170,110,89,193,188,189,187,188,188,189,190,191,190,188,189,207,168,137,191,142,111,191,171,145,158,145,169,204,187,116,116,201,187,190,188,189,188,189,190,192,192,188,199,201,168,129,161,146,97,138,165,174,166,183,192,191,168,134,111,194,191,190,190,189,189,189,190,192,191,193,204,192,181,149,123,99,86,111,107,147,155,162,170,169,145,162,92,159,200,189,191,190,190,190,190,192,192,198,200,173,149,137,118,91,87,124,84,102,124,123,145,132,151,170,108,119,204,188,192,191,190,191,191,193,192,201,202,167,132,111,109,97,100,124,104,134,139,123,91,133,198,177,139,90,185,196,192,194,190,190,191,193,191,207,215,183,146,111,91,89,110,110,126,166,169,137,125,159,201,189,170,97,137,206,191,196,190,190,190,193,191,209,216,192,152,110,92,89,116,120,163,168,168,163,192,191,179,199,170,106,102,204,193,195,190,189,190,191,190,212,216,201,158,108,102,94,104,130,161,164,183,197,190,193,181,171,149,114,89,189,196,194,190,189,191,191,191,215,211,207,160,111,121,114,105,139,159,184,194,191,188,180,170,140,123,108,93,188,195,193,189,189,191,192,195,212,210,197,158,142,137,116,149,179,191,204,196,189,178,166,150,126,102,81,155,199,193,194,190,190,191,192,194,213,210,199,176,161,144,117,169,203,199,205,197,182,167,153,136,113,80,126,201,194,196,195,190,190,192,192,189,214,209,206,192,164,158,133,159,204,199,201,189,164,155,143,124,93,96,193,198,197,196,195,189,190,191,194,184,204,208,211,198,175,162,149,158,202,198,191,175,153,142,126,109,81,162,202,196,197,196,195,194,194,195,198,190,193,209,201,185,176,163,152,161,190,187,175,162,143,131,115,82,118,206,197,198,198,199,198,132,135,137,143,134,177,219,195,177,173,170,156,163,176,174,159,144,129,123,103,84,179,202,200,202,201,196,193,88,90,90,95,76,158,217,191,184,184,174,159,163,175,170,156,130,116,112,89,95,123,122,122,120,123,147,182,98,99,98,103,85,160,217,193,189,188,175,159,164,178,176,154,114,104,96,87,94,84,82,94,143,162,174,189,98,98,97,102,84,158,222,195,190,189,187,163,155,175,170,134,101,96,88,95,98,112,171,194,189,212,198,168,99,100,99,103,86,156,222,196,190,196,200,165,142,170,155,115,96,85,81,133,175,194,210,196,153,157,193,189,97,99,98,102,88,157,216,188,185,196,200,163,139,165,147,106,87,79,151,209,212,195,178,165,152,129,151,181
2,170,169,169,170,170,169,169,168,167,166,165,164,164,162,161,160,158,158,157,154,155,155,154,152,151,151,149,147,171,171,171,171,172,171,171,170,169,169,167,166,165,164,163,163,162,161,160,162,158,157,156,155,153,152,151,149,174,174,175,174,174,173,172,171,171,170,169,168,168,168,166,162,155,148,116,131,157,158,160,156,156,153,152,151,176,176,176,176,175,175,174,173,173,173,171,170,165,160,156,147,128,107,74,62,115,129,122,161,157,155,153,152,177,178,177,178,178,177,176,176,175,175,174,169,156,152,148,118,85,65,53,61,90,101,71,148,160,156,156,154,180,180,179,179,179,178,178,178,177,177,174,161,160,143,107,59,48,48,44,46,57,65,51,85,166,158,158,156,181,181,181,181,181,181,179,179,178,178,168,165,148,93,56,43,37,46,44,36,41,49,43,105,169,160,159,158,183,183,183,184,183,183,182,180,181,175,167,163,115,55,50,43,44,39,42,64,63,68,96,161,166,162,161,160,185,185,185,185,184,184,183,182,183,171,169,147,86,51,49,45,43,64,121,167,161,164,172,168,165,164,163,161,187,187,187,187,187,185,185,185,179,169,163,114,57,43,51,42,118,176,178,173,174,172,169,169,168,166,164,162,187,187,187,189,188,188,188,182,167,178,158,100,63,50,47,60,178,178,173,174,174,173,171,171,168,168,166,164,189,188,189,189,188,188,191,167,174,182,148,98,73,57,36,127,185,175,177,176,176,175,172,172,170,169,168,166,190,190,192,191,189,192,183,164,184,172,139,100,69,48,75,185,180,181,180,179,177,176,174,174,172,170,168,168,191,191,192,193,192,194,170,168,191,164,125,88,60,42,107,195,179,183,182,181,178,176,175,175,172,171,170,169,193,192,193,193,193,189,161,182,190,149,117,86,61,41,135,195,181,183,182,181,179,177,174,176,177,174,170,170,195,194,194,193,197,176,168,195,178,132,114,84,55,49,178,189,184,184,183,182,179,180,181,173,159,160,176,170,195,195,195,196,195,165,187,192,157,127,120,81,55,43,139,198,186,184,182,182,187,174,140,120,112,103,127,174,195,195,195,199,181,173,194,175,140,137,117,75,48,51,60,110,184,189,188,185,151,104,98,110,111,87,100,173,197,197,196,197,172,184,185,164,139,134,106,66,45,54,68,58,108,191,159,120,92,90,113,110,81,119,173,174,198,197,200,187,175,183,179,156,137,127,90,56,50,66,70,71,68,86,82,89,102,103,95,71,132,182,177,174,200,199,199,178,181,180,170,146,131,112,80,53,66,78,77,76,76,66,83,94,89,76,66,133,187,178,177,176,200,202,189,182,184,177,161,141,120,103,75,58,78,78,76,76,73,69,73,68,82,128,167,187,180,181,179,177,201,195,183,187,184,175,159,128,104,101,71,65,77,76,72,71,62,48,63,125,176,195,186,181,183,182,181,178,202,183,183,175,179,171,144,113,99,87,61,68,74,75,70,52,66,107,166,196,190,187,186,186,184,183,182,179,189,178,168,172,168,153,122,90,78,64,63,67,67,60,43,85,177,201,195,189,190,188,188,187,184,182,181,180,181,175,159,166,155,143,110,79,72,64,56,44,47,65,128,196,197,192,191,191,191,189,188,188,186,183,182,182,181,168,161,167,161,148,97,77,72,57,76,123,156,190,206,196,194,194,193,192,190,189,189,188,187,184,183,182,177,165,160,166,159,138,84,75,62,82,187,210,205,198,193,195,195,193,193,193,190,188,188,187,185,184,183,181
7,159,163,168,171,174,176,177,177,177,178,179,180,179,179,179,178,178,178,177,177,176,175,176,163,180,187,191,194,164,169,173,175,178,179,180,181,182,183,183,183,183,182,181,179,179,179,178,177,176,175,175,174,183,148,195,195,171,174,178,181,183,184,186,187,187,187,188,187,186,185,184,185,184,182,181,180,179,178,176,177,172,154,196,195,177,180,184,187,190,190,192,192,192,192,192,192,191,190,189,189,187,187,185,184,183,181,180,178,184,195,187,194,182,186,190,193,195,197,197,197,198,197,197,197,196,195,195,194,192,192,190,188,188,185,183,182,181,170,152,191,187,192,196,198,200,202,202,202,202,202,202,203,202,201,200,199,199,197,196,194,193,190,187,185,184,176,169,195,191,196,200,203,205,207,207,207,207,207,208,207,207,206,205,203,204,202,201,200,197,195,192,190,188,185,185,199,196,200,205,207,209,210,212,212,212,212,212,212,211,210,210,208,208,207,205,203,201,199,197,195,193,191,193,207,201,205,209,211,214,215,216,217,217,216,216,216,216,215,214,214,213,211,210,208,206,204,201,199,197,194,195,211,206,210,214,217,220,218,210,191,174,185,194,199,198,195,193,190,197,204,209,210,210,208,205,203,201,197,199,212,210,214,218,219,217,214,202,166,121,135,160,174,169,169,167,158,150,157,164,165,180,190,203,206,204,203,203,214,214,217,216,214,213,208,197,164,132,132,141,153,153,156,158,148,130,140,145,142,152,157,182,185,205,169,175,215,213,213,213,217,216,211,197,160,124,133,140,148,145,147,153,145,130,125,130,138,144,151,172,162,181,89,132,218,217,218,218,222,220,212,192,154,109,116,132,149,156,151,154,142,139,132,141,151,138,139,144,154,160,95,88,156,222,219,219,223,217,209,191,144,110,119,126,135,139,142,141,139,133,128,138,150,141,140,142,160,171,140,83,72,222,222,220,221,221,214,207,163,104,98,94,89,117,137,135,133,133,136,140,141,131,127,126,127,140,118,81,69,225,220,217,221,213,207,213,171,102,89,92,84,112,167,218,220,220,216,191,138,86,83,82,81,82,76,71,70,217,212,209,210,198,198,196,155,107,95,98,98,91,91,186,201,153,121,89,66,59,54,54,65,64,65,69,69,211,209,203,198,192,191,188,152,102,87,97,108,104,90,89,75,60,59,68,65,57,57,54,55,58,58,65,66,204,200,195,191,190,191,196,162,98,69,59,88,98,89,84,67,57,50,61,70,59,49,55,56,55,61,54,35,191,187,191,190,188,187,183,154,99,74,64,72,89,99,99,68,57,56,47,62,66,52,44,50,54,62,34,11,181,174,173,168,164,162,148,122,97,84,74,65,47,63,70,46,44,62,50,47,60,64,49,40,44,45,38,30,170,157,142,134,129,129,124,103,89,76,53,68,39,33,52,54,38,54,59,47,50,59,59,42,40,38,40,38,153,146,128,124,121,135,128,80,54,60,32,58,55,25,41,59,47,41,58,56,47,48,57,51,36,38,38,38,126,135,139,152,182,191,98,72,51,52,35,42,61,32,28,53,57,39,48,58,50,45,45,52,39,34,37,37,119,208,223,236,231,127,68,72,58,40,41,30,53,47,20,43,59,46,43,50,52,44,39,43,45,30,33,36,73,171,174,178,141,72,67,58,46,47,36,25,38,55,22,29,54,53,45,46,47,44,36,36,44,33,27,32,52,130,133,118,87,64,59,55,34,47,39,19,25,55,32,18,46,56,47,46,43,42,35,34,37,39,25,27
4,165,168,171,174,177,179,181,184,185,187,187,189,191,191,190,191,191,190,188,189,189,188,188,187,187,186,186,185,166,169,173,175,178,180,182,185,187,188,188,191,193,192,189,187,191,192,192,191,191,189,189,188,188,187,186,186,168,171,174,177,180,181,184,186,188,189,188,183,188,203,186,153,158,194,194,193,192,191,190,189,190,189,187,187,169,172,175,178,181,184,186,188,188,203,194,164,155,213,194,150,116,187,195,195,195,193,192,191,192,191,189,189,170,174,177,180,183,186,187,188,188,220,214,173,132,191,197,150,101,143,164,174,194,195,194,193,193,192,191,190,171,175,179,182,183,185,197,209,192,174,211,189,139,168,199,149,84,101,143,125,164,197,195,195,194,193,192,191,173,176,180,183,186,189,218,222,193,135,188,188,135,142,184,136,79,104,146,121,106,190,197,196,195,194,193,192,173,176,181,184,186,191,215,206,184,127,170,171,124,113,153,121,77,125,157,121,89,182,199,197,195,195,195,193,174,178,182,184,186,189,213,191,184,131,155,162,120,90,126,110,89,167,164,112,88,184,200,197,196,197,195,194,175,179,182,185,188,190,216,185,174,155,141,167,146,98,114,98,99,168,143,90,87,192,201,197,197,198,196,195,177,180,183,187,189,193,224,210,176,136,109,170,161,157,145,137,142,165,151,105,91,196,203,200,199,198,197,196,177,181,185,187,189,197,227,206,170,126,96,110,116,164,154,166,183,194,181,128,106,198,203,202,200,200,199,198,178,182,185,187,189,203,224,188,149,120,98,87,85,117,150,164,177,184,170,128,102,190,203,202,201,199,200,199,178,182,186,189,189,210,224,189,151,116,94,89,96,104,125,141,147,154,158,134,95,164,205,203,201,200,200,200,179,182,186,189,189,215,224,191,151,119,102,96,104,125,124,133,155,164,171,147,103,132,206,204,202,201,201,201,179,183,187,190,192,221,221,186,144,115,104,98,103,134,139,171,195,198,198,164,117,99,192,206,204,203,202,201,180,184,188,191,194,222,219,185,146,120,107,105,108,135,159,201,217,211,210,176,126,85,162,209,206,206,203,203,181,184,188,192,194,220,212,185,151,132,118,111,113,140,197,216,219,203,194,163,120,83,156,210,207,206,204,203,181,183,187,191,193,217,208,186,156,134,120,114,124,176,222,223,209,191,165,138,101,94,186,209,206,206,204,203,180,182,187,190,192,215,213,188,150,127,119,125,147,211,228,218,193,167,140,111,84,135,205,207,206,205,204,203,181,182,187,190,192,211,217,191,160,150,133,136,169,222,221,203,176,148,120,91,93,188,208,207,206,206,205,203,181,184,187,190,193,205,215,197,172,164,143,128,181,219,206,183,156,131,102,78,139,209,209,208,207,206,205,203,181,184,187,191,194,204,219,201,176,166,145,127,188,208,185,159,132,108,85,89,190,211,209,207,207,206,205,203,181,184,187,192,191,208,226,209,181,159,135,126,182,188,161,135,109,90,71,141,210,209,208,208,208,207,205,203,182,185,188,192,190,224,225,201,172,144,117,130,170,155,123,105,88,72,100,195,209,209,208,208,208,207,205,203,182,184,189,189,203,232,220,200,175,139,125,142,151,119,96,89,78,87,177,210,209,209,208,208,208,208,206,205,168,170,173,175,218,225,217,202,172,146,138,140,134,105,94,93,79,136,188,191,191,191,191,192,192,192,191,190,122,121,118,149,222,212,200,187,158,144,150,126,112,97,91,86,80,111,120,119,119,118,118,119,120,122,123,121
6,222,224,226,226,227,226,228,228,226,227,227,225,224,224,224,224,223,222,220,219,218,217,217,216,215,213,211,209,224,225,227,229,230,229,229,229,229,228,229,228,227,224,224,224,223,222,221,221,220,220,220,217,217,215,213,210,224,226,228,230,231,231,232,231,231,229,229,229,228,227,225,226,225,223,222,222,222,221,219,217,217,216,214,213,225,227,230,230,231,233,232,232,234,232,231,231,229,229,227,226,227,226,224,223,223,222,221,219,219,217,216,215,227,229,230,232,234,234,234,233,235,233,232,232,232,231,229,229,230,228,225,221,221,220,221,217,216,214,208,213,228,230,231,235,235,236,236,235,235,236,237,236,233,229,223,219,215,215,212,189,195,207,206,191,204,196,214,241,230,231,233,235,236,237,235,236,235,234,223,214,216,218,212,215,216,217,207,202,195,216,213,198,205,201,205,228,230,232,235,236,237,237,237,235,240,240,214,196,207,218,220,225,226,224,207,189,190,185,186,173,165,165,156,165,231,234,235,236,237,238,238,234,250,248,222,209,199,199,201,195,191,184,175,165,140,140,127,146,175,181,199,213,233,234,236,237,238,239,239,238,255,252,237,221,203,190,185,178,172,161,146,126,101,89,103,214,233,228,227,222,235,235,237,237,239,241,238,249,255,255,247,213,181,177,184,191,188,181,170,163,160,119,189,235,223,224,222,221,235,236,239,238,240,243,237,255,255,255,236,183,163,172,177,187,191,187,178,168,170,133,197,235,227,226,224,222,235,238,241,241,242,240,241,255,255,255,207,170,177,172,162,168,185,172,165,165,152,117,206,234,229,227,224,223,237,238,241,241,244,236,251,255,255,255,227,211,192,176,153,161,188,178,174,176,149,143,236,231,230,228,226,224,237,240,241,243,242,241,255,255,255,255,255,244,199,174,183,190,188,178,167,155,155,139,216,235,229,229,226,225,238,242,242,245,236,252,255,255,255,255,255,247,190,163,172,177,178,172,156,148,146,120,215,235,230,229,228,225,238,241,242,241,237,255,255,255,255,253,249,230,189,168,162,153,159,165,162,155,129,152,237,232,231,231,228,224,236,237,242,228,245,255,255,255,252,247,241,237,218,198,160,129,145,165,159,156,123,194,240,229,231,229,224,227,236,242,234,223,255,255,255,255,254,254,244,239,247,224,172,149,167,183,168,148,135,144,235,231,229,228,234,215,239,243,223,239,255,255,255,255,255,251,239,248,246,209,159,148,156,154,145,134,118,140,235,234,238,231,177,112,241,230,232,252,254,254,251,246,242,238,238,245,225,184,154,151,147,136,127,122,130,215,244,225,178,123,83,76,236,224,245,249,253,246,238,233,226,230,227,211,188,163,151,138,128,169,180,199,222,203,155,107,77,74,75,75,225,233,247,247,249,238,226,223,220,217,213,190,169,158,162,147,175,208,179,156,119,89,64,58,67,73,70,68,214,245,245,245,234,224,212,207,217,210,199,188,177,159,135,108,102,79,68,65,67,76,51,55,61,66,65,66,229,248,244,240,230,221,206,199,199,191,179,169,148,121,92,72,60,66,65,69,73,65,42,50,56,62,64,62,243,246,243,234,224,205,187,185,175,157,145,130,107,81,71,80,58,55,59,64,69,60,39,46,53,61,62,58,247,245,240,237,210,177,175,170,161,146,114,91,75,65,65,77,63,48,60,60,63,55,36,45,53,62,59,59,247,243,239,230,180,169,188,175,152,128,83,73,64,60,60,70,64,51,60,51,60,49,36,46,54,61,56,55
1,85,89,102,118,131,137,139,145,150,153,156,158,162,165,165,170,169,169,170,170,171,172,172,172,174,174,173,173,86,90,104,121,133,139,142,147,154,157,160,162,164,174,175,140,173,175,175,173,174,175,175,175,177,175,175,174,88,93,108,125,136,141,145,152,158,162,164,166,170,186,192,110,157,151,165,182,177,178,178,178,178,177,177,177,89,95,111,127,139,143,149,156,162,165,170,183,136,184,193,108,150,153,122,189,181,182,183,182,182,181,180,179,90,97,115,129,140,145,151,160,165,167,177,201,117,170,193,103,150,173,104,177,190,187,187,186,186,185,184,183,90,99,118,132,143,147,153,162,168,172,180,205,123,160,199,114,153,180,105,162,197,189,190,190,190,189,188,187,91,102,121,136,147,151,157,165,171,173,185,210,130,147,191,118,155,192,119,152,203,192,194,194,193,193,192,191,92,104,124,139,149,153,158,167,175,182,151,204,138,128,175,119,154,189,122,148,208,196,197,197,197,196,196,194,93,107,127,142,152,156,162,169,187,190,121,194,142,111,182,127,147,197,132,148,212,199,201,202,202,200,199,198,93,110,130,144,153,156,166,172,196,183,115,197,151,101,172,122,145,206,142,148,215,204,206,205,204,203,202,202,94,111,131,146,156,158,169,174,200,181,108,189,167,105,145,141,146,188,145,144,218,207,209,208,207,206,205,205,96,113,134,149,157,161,171,176,208,192,105,161,187,154,157,162,144,137,125,141,220,209,210,209,210,209,208,207,96,116,135,151,160,163,174,179,209,196,107,141,156,160,164,131,137,165,120,143,226,211,214,213,213,212,211,211,98,119,139,154,162,166,177,182,206,199,146,159,105,144,126,110,180,200,179,140,202,221,213,216,215,214,214,214,99,121,142,158,164,168,179,185,215,203,161,139,106,131,100,144,192,197,201,152,122,211,220,218,218,217,217,215,101,123,143,159,166,171,182,189,224,203,156,123,111,136,139,194,213,200,183,132,100,149,230,218,221,220,220,219,102,125,146,161,167,173,184,192,229,212,159,120,124,145,158,210,221,208,171,127,96,134,230,220,222,222,222,221,104,128,148,163,170,175,188,193,230,222,170,121,133,156,177,209,219,205,169,130,87,152,235,222,225,223,221,226,107,131,150,165,171,178,189,194,227,227,189,131,140,164,183,220,220,197,161,129,86,171,237,222,226,233,236,222,109,134,153,167,173,180,192,196,224,231,205,145,147,168,180,224,217,194,151,122,84,186,234,233,230,200,146,93,112,136,155,170,175,182,193,198,219,227,215,158,160,159,176,215,211,187,141,116,86,201,242,180,110,73,56,60,114,138,158,172,176,183,195,201,211,218,220,171,174,154,179,205,207,177,135,107,94,224,158,71,52,56,59,53,116,139,159,173,176,184,194,202,204,212,218,186,177,160,165,203,190,166,125,101,108,141,66,73,63,40,57,60,117,141,161,173,176,184,193,200,203,206,211,192,181,172,150,185,179,154,121,103,85,55,49,70,76,36,40,64,119,143,163,175,177,186,196,202,208,202,208,199,188,182,154,160,177,146,120,100,72,66,48,45,75,52,29,51,120,144,165,177,178,188,197,204,210,204,210,207,195,183,151,146,166,142,115,91,76,66,55,30,56,68,29,35,118,144,166,177,180,190,198,205,210,208,212,197,180,173,152,147,146,133,105,84,80,56,55,34,39,67,44,23,130,147,163,171,176,185,191,200,207,203,211,204,177,179,171,147,133,128,101,81,75,65,47,39,30,54,57,25
15,99,107,116,124,129,130,134,141,147,152,156,159,162,165,168,170,173,176,178,179,181,183,183,184,184,185,186,186,99,109,117,126,129,131,136,143,148,153,156,160,164,167,170,172,175,177,179,181,183,185,185,185,186,188,188,187,101,111,119,126,131,132,137,145,149,153,158,163,165,169,171,174,177,179,181,183,184,185,186,188,189,190,190,190,103,112,120,128,132,134,140,146,151,156,160,162,166,170,173,175,178,180,183,184,185,187,189,191,191,190,191,192,103,113,122,130,133,136,142,147,153,158,161,165,169,172,175,177,179,182,184,185,187,189,191,192,192,192,193,194,104,114,125,128,131,135,142,148,156,160,163,168,171,173,177,180,181,183,185,188,190,190,192,194,194,195,195,196,106,117,121,152,165,146,147,150,157,160,166,169,174,174,177,182,184,185,188,190,191,193,193,194,195,195,196,197,107,118,119,203,196,165,163,156,161,166,167,166,170,177,181,184,184,188,190,190,192,195,196,196,198,198,199,198,108,119,124,167,179,162,161,151,170,173,169,163,150,155,170,175,181,189,191,194,197,197,197,198,200,200,200,201,109,119,129,136,145,141,135,133,154,159,162,163,155,164,160,162,167,178,184,174,179,192,203,197,200,202,202,203,112,120,131,140,141,141,146,147,153,152,146,145,153,165,161,154,150,162,181,173,162,150,167,207,203,201,204,204,113,122,134,139,141,145,154,159,165,167,163,157,156,153,147,139,136,159,173,187,166,147,134,153,207,206,203,206,113,124,135,141,144,146,154,160,164,170,175,178,181,178,169,153,162,178,173,176,170,157,160,140,141,203,209,206,115,125,135,143,145,147,155,161,166,171,175,177,182,188,190,217,207,186,145,151,189,154,169,169,133,131,207,211,115,126,137,144,146,149,156,162,168,173,174,187,188,160,162,194,200,169,113,120,196,149,173,172,164,120,130,211,117,127,138,146,147,150,158,164,169,175,174,205,186,146,148,200,212,170,131,136,169,164,177,169,157,137,106,124,119,129,138,146,147,151,159,164,170,176,178,195,162,143,155,209,214,165,135,143,139,149,163,149,136,136,123,105,121,131,140,147,148,151,159,166,171,177,181,184,182,148,161,205,195,154,140,150,149,147,157,141,116,127,127,124,120,131,141,148,149,152,159,168,172,177,183,180,229,223,145,122,126,127,149,165,160,163,166,147,125,128,127,124,120,131,142,149,151,154,161,168,172,177,185,181,219,236,173,87,46,33,48,85,146,160,160,145,142,139,122,113,122,132,143,150,152,155,162,168,174,179,185,182,214,233,172,99,69,52,26,8,71,146,142,134,119,99,82,66,123,133,144,149,151,156,163,169,175,180,185,184,208,238,152,100,118,110,81,51,34,81,91,75,57,49,44,34,123,135,144,149,151,157,163,169,175,180,187,187,200,239,158,124,157,138,132,125,77,54,50,49,46,44,44,38,122,134,143,148,149,156,161,168,174,179,185,188,194,239,182,119,170,144,138,103,65,57,55,53,49,46,44,42,122,133,143,147,149,155,162,170,175,180,184,188,187,228,203,108,198,202,149,80,55,52,53,53,50,47,45,43,122,134,144,148,151,157,164,171,176,182,186,191,187,224,187,101,203,218,160,70,52,52,53,54,50,47,49,49,123,135,145,149,152,157,165,172,178,183,186,191,193,207,141,164,211,217,174,72,63,58,55,50,49,49,50,48,123,136,146,151,153,158,165,171,178,183,187,191,195,197,193,208,207,211,214,108,71,64,57,50,50,50,49,45
8,168,170,170,172,172,172,174,172,173,172,171,171,170,170,169,167,166,165,165,164,162,161,160,158,155,155,153,152,170,172,173,173,173,168,156,174,175,174,173,172,172,171,170,169,168,166,166,166,165,163,161,160,157,155,154,153,172,173,175,175,178,163,102,157,180,177,176,174,172,172,171,170,169,167,167,166,166,164,162,160,158,156,156,156,173,175,176,176,179,144,92,141,183,178,177,175,175,175,173,172,171,170,169,168,167,166,164,163,160,157,157,157,174,176,178,178,180,143,84,144,185,180,179,177,176,176,175,174,174,173,172,171,168,167,166,165,162,158,158,158,176,177,178,180,180,140,76,156,184,181,180,181,181,178,177,176,175,172,173,174,168,168,167,166,164,161,160,159,178,179,181,181,182,141,76,154,186,182,181,170,177,181,179,180,174,136,114,145,147,140,171,167,166,165,163,161,180,181,182,182,185,155,87,143,190,184,163,125,115,171,148,124,140,137,104,78,127,107,172,168,166,165,164,162,181,181,182,184,185,152,83,128,192,177,158,140,108,119,134,100,89,144,120,75,89,97,157,173,168,166,165,164,181,182,184,185,185,155,105,108,191,172,165,155,120,96,135,111,93,143,112,75,65,91,104,172,170,167,166,165,182,184,186,187,186,177,141,103,177,171,161,165,125,85,127,122,90,127,102,71,54,96,82,124,175,169,167,166,182,185,185,186,187,184,150,110,147,151,138,162,127,88,108,127,83,111,134,89,55,100,84,98,177,170,169,167,183,185,186,187,188,188,158,148,138,140,116,149,127,85,83,124,87,101,146,92,68,112,78,123,178,171,170,168,186,186,188,189,190,191,184,163,133,119,115,131,129,91,72,104,79,46,90,64,87,115,73,152,176,172,171,169,187,187,188,189,190,190,189,151,119,95,93,109,143,127,72,55,55,63,57,95,129,108,78,172,175,173,172,170,188,187,189,190,192,192,185,150,125,97,84,87,149,137,89,57,101,140,135,128,133,89,94,183,175,173,171,170,187,188,191,191,193,192,192,169,138,102,86,85,126,119,87,94,146,148,147,117,102,69,119,184,177,174,172,170,186,188,192,192,193,194,191,174,142,111,91,86,115,135,136,155,165,143,135,106,78,63,162,182,177,175,173,172,187,189,191,192,194,194,190,178,149,122,99,88,120,167,178,175,161,136,124,96,55,112,186,180,178,175,174,173,188,189,192,194,195,195,187,176,155,126,100,98,134,176,173,167,149,126,110,82,64,174,184,180,178,177,175,174,189,191,192,193,195,195,182,171,161,130,107,109,145,169,169,162,137,119,98,61,124,190,183,180,179,178,176,174,190,192,192,194,196,197,185,176,166,135,117,111,150,162,166,152,125,108,81,70,181,187,183,181,181,179,177,175,191,192,194,196,197,198,193,180,171,143,121,109,146,154,152,135,112,92,56,133,193,186,184,182,181,180,178,175,190,192,195,196,196,198,196,186,169,144,123,113,135,144,135,118,95,66,81,188,189,188,185,183,182,180,178,175,192,193,195,195,196,198,197,185,163,141,126,119,125,137,125,106,81,59,167,192,188,187,184,184,181,180,179,177,193,195,195,195,196,198,196,185,165,150,140,134,124,132,117,96,61,132,198,190,188,187,185,184,181,180,180,178,192,193,196,197,197,196,193,189,170,163,146,139,128,126,103,77,81,192,194,192,190,188,186,184,181,181,179,177,192,194,197,197,199,191,186,191,174,168,146,140,128,109,91,63,133,200,194,192,190,187,187,185,183,182,181,178
19,163,168,173,176,180,183,186,188,188,190,190,190,191,190,190,191,191,190,189,188,188,187,186,182,192,197,162,218,167,173,178,181,184,187,191,192,194,194,195,195,195,197,194,194,194,193,193,193,192,192,190,185,204,154,151,223,172,177,182,186,189,192,195,198,199,200,201,201,202,194,203,200,199,198,198,198,197,196,195,193,193,198,215,220,176,182,185,190,194,197,200,201,202,204,202,217,213,148,149,209,202,202,201,201,200,199,198,197,193,203,196,166,180,186,190,194,198,201,205,206,207,210,205,233,210,141,99,194,212,206,206,205,205,204,202,201,198,199,181,170,187,191,196,199,204,208,209,210,212,216,211,237,210,156,93,163,222,209,209,207,208,208,206,204,203,202,197,200,189,195,200,203,208,211,213,215,216,219,215,239,218,169,98,133,228,211,213,212,212,211,209,208,206,205,200,204,194,197,202,208,212,215,217,219,221,224,220,241,215,158,87,103,232,222,221,218,217,216,214,211,209,208,205,209,197,202,208,212,215,219,221,223,225,229,226,242,209,158,125,149,195,189,202,207,209,210,216,220,219,215,211,211,199,205,211,214,217,223,226,230,229,226,221,229,217,209,214,216,179,145,170,187,170,159,166,168,190,203,211,217,202,207,212,216,222,225,218,196,199,217,220,228,224,227,223,202,181,161,175,196,179,174,171,152,187,187,169,216,205,209,215,220,221,242,220,192,202,207,207,208,206,198,192,178,161,127,126,150,160,164,166,151,161,172,138,197,206,211,217,223,226,251,220,205,199,183,186,193,189,184,186,181,170,109,154,171,170,162,153,149,153,178,73,173,210,214,219,223,233,223,168,155,169,180,199,202,192,191,189,187,181,132,201,255,242,238,234,228,241,197,53,113,211,216,222,224,246,202,168,163,166,177,184,180,185,188,185,184,164,108,188,248,235,236,235,234,246,115,66,64,212,216,222,228,237,184,184,185,180,167,135,145,167,154,138,147,126,98,228,241,243,250,248,240,191,76,70,71,214,218,224,229,238,225,202,174,163,171,177,173,168,161,153,147,132,119,249,255,234,193,142,92,67,68,70,72,215,220,226,229,244,255,224,172,143,166,176,175,174,172,163,152,148,118,182,154,68,51,60,52,54,64,65,68,215,221,225,231,245,255,225,175,158,151,139,142,150,149,138,131,124,108,53,33,49,40,47,44,62,60,58,64,217,224,226,233,243,242,237,185,164,141,119,123,141,141,131,123,107,81,55,52,56,48,40,36,51,54,50,58,217,224,226,239,248,250,250,203,160,131,151,162,158,151,139,130,105,44,42,59,47,45,46,45,37,42,44,51,217,224,225,238,251,251,254,215,157,127,142,150,145,134,119,111,102,43,29,48,51,46,35,37,45,44,43,45,216,224,223,232,251,246,232,186,153,142,141,150,149,128,112,118,92,46,35,35,47,50,39,23,36,38,51,51,216,223,225,232,248,238,220,180,155,152,142,144,125,103,115,119,42,38,44,33,34,50,48,29,26,30,44,48,216,223,223,231,241,236,209,176,151,153,146,125,89,78,91,76,19,23,37,33,33,37,51,39,22,29,27,24,220,226,223,229,234,226,184,151,156,187,147,87,78,43,0,34,43,19,26,34,33,34,38,48,28,24,27,22,207,212,213,234,228,213,181,158,176,180,133,84,75,32,0,12,44,37,24,34,27,29,31,38,39,17,24,21,127,122,192,241,225,212,188,182,190,167,125,92,59,49,1,0,28,44,32,29,26,19,28,28,37,24,15,22
8,132,138,142,146,148,152,155,157,158,161,163,164,164,165,166,165,165,165,165,163,162,161,162,158,157,158,155,154,134,140,145,147,150,153,156,159,162,165,166,166,167,168,169,167,167,167,167,167,166,164,163,163,162,159,157,156,135,142,146,149,153,155,158,163,163,166,168,169,170,171,171,171,170,168,169,169,168,166,165,165,164,161,161,161,136,143,147,152,156,158,160,165,169,168,171,172,173,173,172,173,172,172,171,172,172,169,168,166,165,164,164,162,140,146,149,154,158,159,172,150,145,177,172,173,174,174,174,174,174,173,174,174,173,172,170,169,168,168,166,165,141,147,152,156,160,159,186,143,90,174,175,176,176,176,177,176,177,177,176,176,175,173,172,174,173,170,169,166,143,150,155,157,162,159,185,157,69,154,182,177,179,179,179,179,179,179,178,177,176,174,174,174,173,172,170,168,144,149,154,158,162,161,182,180,68,134,186,179,182,181,180,182,182,180,180,179,179,179,177,175,174,173,173,173,146,150,155,161,164,166,173,177,75,111,192,180,183,185,187,182,182,183,187,181,180,180,179,179,176,175,174,173,148,153,157,162,167,170,171,193,124,89,188,184,182,162,155,187,183,145,140,189,185,186,180,181,180,178,175,173,148,153,158,163,166,171,170,198,149,68,166,187,204,182,123,147,208,152,83,136,147,145,185,180,182,181,178,177,150,154,159,164,167,173,172,191,158,94,125,193,223,219,156,87,197,165,154,94,94,85,115,194,180,181,181,180,152,156,161,166,169,176,175,188,193,137,113,177,216,228,186,84,143,169,165,148,117,114,75,163,187,180,181,180,152,159,163,166,172,178,180,182,200,134,127,168,175,214,191,98,99,162,119,176,178,181,161,84,160,189,180,180,156,161,165,168,174,177,182,181,196,174,156,192,177,179,192,106,66,137,63,137,174,181,171,79,123,199,181,184,156,162,167,172,175,179,183,181,207,218,151,150,170,148,190,132,62,96,67,79,145,183,170,83,115,201,183,184,158,163,169,174,177,181,184,180,207,190,116,121,136,112,164,201,104,61,58,74,172,204,184,85,109,202,183,185,159,165,170,174,177,180,186,184,203,204,149,119,111,103,126,149,94,78,50,82,181,210,184,87,110,203,185,189,158,164,170,175,179,181,186,185,208,224,176,126,109,113,94,136,151,97,74,146,183,212,173,82,92,202,188,191,159,166,172,176,180,181,186,184,215,221,178,140,102,89,100,176,187,156,169,194,176,178,136,73,72,198,190,190,162,168,173,177,182,183,189,185,217,220,186,162,129,89,104,168,197,222,211,187,158,130,104,55,100,203,189,191,163,168,174,177,183,185,190,187,221,220,189,171,148,105,97,161,222,227,216,183,142,97,74,43,168,198,190,191,163,169,175,180,184,188,191,187,217,221,197,174,162,123,115,173,229,221,196,167,125,78,35,100,206,192,193,192,163,169,175,180,182,186,191,190,209,225,207,186,175,138,119,192,222,199,167,139,101,58,41,180,200,196,194,192,161,167,173,176,180,184,190,190,200,224,211,191,180,150,122,192,206,175,146,111,83,34,107,206,192,195,193,190,162,168,174,177,182,186,190,190,197,225,217,193,172,138,119,179,180,159,137,99,61,43,188,199,196,193,193,192,163,168,174,180,182,186,190,192,198,228,208,181,152,113,122,169,147,130,122,92,29,128,210,195,197,195,195,193,164,171,175,180,183,185,190,187,201,230,198,175,134,123,133,157,132,112,106,62,69,203,198,197,197,196,196,193
12,174,175,177,178,179,178,179,179,180,181,180,179,179,178,179,178,177,175,175,174,173,173,171,170,169,168,166,164,176,179,179,180,180,181,181,181,181,182,182,181,180,179,169,158,164,176,176,176,175,174,171,171,170,169,167,165,177,179,180,181,182,182,183,183,182,182,179,169,174,176,143,118,105,154,179,176,174,174,173,172,172,171,168,166,179,181,181,182,182,183,183,184,183,183,166,130,116,143,147,124,99,107,156,139,129,152,174,173,172,171,169,167,180,182,182,183,183,185,184,184,183,188,165,136,109,103,154,135,110,93,93,112,100,89,151,176,174,172,170,168,181,182,183,183,185,185,186,186,185,193,175,149,126,95,151,142,119,95,74,105,99,71,105,177,176,173,171,170,182,183,183,184,186,186,186,186,190,194,187,157,132,97,131,144,122,98,67,100,98,73,82,175,176,174,173,171,184,185,185,185,186,186,187,186,193,177,190,163,133,102,107,143,124,99,66,91,102,75,83,175,176,175,174,173,184,185,186,186,186,187,185,183,171,130,158,165,130,105,94,144,126,102,71,83,102,75,97,179,177,176,175,174,184,185,186,186,187,186,185,185,155,109,103,157,134,102,79,140,136,110,81,66,88,71,126,182,179,177,176,175,185,186,187,187,188,195,193,175,136,103,78,137,132,95,71,134,157,130,93,63,76,66,143,182,180,179,177,175,186,187,188,188,195,193,174,162,129,110,81,118,133,105,81,138,169,136,94,69,83,77,159,183,181,179,177,176,187,187,188,189,202,184,151,157,133,117,86,94,142,134,97,113,145,113,76,70,87,74,145,186,182,179,178,176,187,187,187,193,190,167,134,129,137,116,86,76,145,144,110,66,63,61,59,81,85,60,95,183,183,180,179,178,188,188,189,194,183,157,130,102,124,120,97,70,123,137,105,63,48,72,82,82,68,59,72,173,184,181,180,179,186,188,190,192,191,169,144,113,103,127,99,69,58,98,102,73,85,104,116,101,75,65,83,177,184,183,180,179,188,190,191,193,195,176,150,124,99,112,96,82,54,107,153,139,130,124,126,106,79,58,118,187,185,184,181,179,189,190,192,194,197,182,157,133,107,92,103,106,87,152,182,170,148,131,122,101,74,56,149,189,186,184,181,179,189,190,192,195,191,176,155,132,108,92,96,110,129,178,180,164,143,127,112,95,67,64,170,188,186,184,182,180,190,191,193,193,181,168,154,132,106,108,93,122,164,177,170,154,136,121,104,88,61,107,187,187,186,184,182,181,190,192,193,191,180,169,156,130,108,119,110,154,171,172,164,145,128,112,96,74,74,170,189,187,186,185,182,182,191,193,193,193,184,169,158,136,118,116,119,160,165,168,159,139,117,101,87,61,115,193,190,188,186,186,184,182,191,193,193,194,186,173,161,143,123,107,117,157,158,159,146,128,105,90,73,60,163,194,192,189,187,187,185,184,190,193,194,195,191,180,162,142,122,103,111,146,149,144,131,111,92,79,57,103,192,194,191,189,188,187,186,185,191,193,195,195,193,179,160,143,126,112,112,136,140,128,115,100,82,64,66,169,195,193,191,189,188,187,186,185,192,193,195,195,195,174,151,138,125,120,115,130,140,127,110,95,76,55,134,195,194,192,191,189,188,187,187,186,193,194,195,195,195,172,153,145,137,134,125,130,137,124,105,87,65,90,188,196,194,193,192,191,189,187,187,187,193,194,194,191,192,173,157,154,147,138,130,131,134,118,90,76,61,147,198,196,196,194,193,192,190,188,187,186
1,118,122,124,127,131,136,138,139,140,141,143,144,146,148,148,149,150,150,151,152,152,152,152,151,150,150,151,152,122,125,128,131,134,138,141,143,144,145,147,147,149,149,150,152,159,153,132,153,155,154,153,152,152,152,153,153,126,130,132,135,138,141,145,147,149,150,151,152,153,162,136,145,172,155,102,151,157,158,156,156,155,155,154,155,130,134,136,139,143,146,148,152,153,154,156,155,161,176,118,133,174,143,100,151,143,148,161,160,160,159,158,158,134,137,140,144,148,150,153,156,157,158,159,159,169,174,110,138,175,133,104,159,136,116,163,163,163,162,161,160,137,141,145,148,152,155,158,160,161,162,167,151,158,167,110,144,176,127,112,170,136,105,164,166,166,165,164,163,142,146,148,152,156,159,163,166,167,168,182,138,130,150,115,150,180,133,124,176,131,104,167,171,169,169,168,167,146,150,152,156,161,164,168,170,172,175,186,125,126,140,119,148,173,129,128,181,132,106,171,175,173,172,172,170,149,153,156,160,165,167,171,174,176,179,179,116,127,128,112,133,167,124,137,184,137,112,176,179,177,176,175,174,153,156,160,163,168,171,173,178,179,183,184,123,130,132,113,133,177,129,150,182,135,117,181,184,182,179,179,178,155,159,163,166,172,174,177,182,182,187,184,123,123,143,121,134,177,128,161,186,136,123,185,186,185,184,183,182,159,162,166,170,175,177,181,184,185,193,193,134,116,135,110,126,157,118,171,187,138,133,190,188,188,188,187,186,161,165,169,173,178,181,183,187,188,195,200,139,108,125,112,131,146,132,174,175,131,143,193,191,192,191,189,188,164,168,171,175,181,184,186,189,190,197,200,147,132,158,154,165,169,156,148,160,124,151,196,194,195,194,192,191,166,170,174,178,182,185,189,192,193,204,208,168,140,140,172,189,196,167,119,129,110,158,199,198,197,196,195,194,168,171,176,180,184,187,191,195,195,211,200,157,126,102,124,150,172,185,145,94,90,170,202,200,199,199,197,196,170,174,178,183,186,189,193,197,197,215,196,152,116,104,110,129,169,206,182,115,87,183,204,203,201,200,200,199,172,176,181,185,188,192,196,199,200,219,200,152,122,122,129,161,185,205,202,144,97,183,207,205,204,203,202,202,175,178,182,186,190,194,198,200,203,220,198,151,123,131,142,193,206,194,186,147,101,168,210,207,206,205,204,204,177,181,184,189,193,196,199,201,205,219,198,157,132,142,159,214,214,187,155,122,93,168,212,209,208,207,206,205,178,182,186,191,195,198,200,203,206,217,199,161,143,140,172,221,210,173,139,103,91,182,213,210,210,209,208,208,180,184,188,192,196,199,202,205,207,213,197,163,149,139,172,217,196,159,126,94,115,206,213,212,212,210,210,211,181,185,189,193,196,199,203,207,208,209,196,170,160,144,164,206,181,145,111,88,152,216,214,213,213,212,212,212,183,186,191,194,198,201,204,207,208,206,194,174,166,147,160,197,169,134,101,92,185,217,215,215,215,214,214,214,184,187,192,195,199,202,205,208,210,210,200,177,165,140,153,182,154,123,93,111,209,218,217,217,217,216,216,216,184,187,192,197,200,202,206,209,209,212,204,179,159,129,143,157,132,111,89,148,219,220,219,218,217,217,217,216,183,187,191,196,200,202,205,208,205,215,208,192,160,132,143,143,122,101,107,196,220,220,220,218,219,218,217,217,183,187,191,195,200,204,206,206,204,216,209,196,166,141,144,134,114,91,156,218,220,220,220,218,219,218,217,217
0,190,192,193,193,194,195,195,195,195,195,194,194,194,195,194,195,195,195,195,195,195,195,196,195,194,194,194,194,193,194,194,194,194,196,197,196,196,195,195,195,196,196,196,194,193,196,197,197,196,197,197,196,196,196,196,196,195,195,196,196,196,196,197,197,197,197,196,196,195,195,204,191,162,167,193,189,189,198,199,195,196,196,196,197,195,195,196,198,199,198,197,198,198,198,202,199,173,165,203,187,156,134,132,148,145,173,188,159,184,199,197,197,196,196,197,198,199,199,198,199,198,200,220,208,171,145,175,191,167,147,95,131,137,128,161,133,166,202,198,199,196,197,198,198,198,199,200,205,186,176,217,208,179,154,168,207,175,155,105,148,147,124,136,132,157,204,201,201,196,198,199,199,200,200,206,223,185,151,181,217,188,161,159,218,188,162,112,161,152,117,112,132,135,204,201,201,198,199,199,200,201,200,215,222,193,166,162,220,195,161,147,218,192,159,108,161,149,105,100,137,104,185,203,202,199,200,200,201,201,212,210,211,203,177,146,204,199,156,131,209,190,147,92,132,134,96,92,141,94,141,206,203,200,201,201,201,203,214,189,201,211,181,139,179,201,152,112,180,177,133,84,107,118,88,93,146,102,120,204,205,201,202,203,201,211,208,176,182,204,179,134,151,191,145,100,145,161,125,87,93,108,80,108,157,115,122,205,206,201,202,202,202,212,204,177,168,186,163,123,124,172,136,92,113,152,121,84,94,110,89,147,172,125,126,206,208,199,200,200,205,213,196,167,143,168,155,117,105,160,132,84,92,148,119,84,112,123,107,174,173,127,132,207,207,198,200,200,203,222,208,174,134,139,152,111,94,154,136,83,88,152,127,131,172,153,124,168,174,128,140,207,206,200,201,201,204,223,212,181,142,111,133,125,95,155,151,97,100,157,164,178,179,161,135,134,158,120,144,209,207,202,202,202,206,226,216,191,159,125,117,131,113,155,165,148,172,189,188,180,168,149,131,116,116,101,138,210,207,202,203,203,207,226,222,199,173,155,144,140,152,173,185,197,202,201,193,177,161,139,121,111,95,86,134,210,207,202,202,203,207,223,222,207,188,174,163,153,156,175,190,202,202,202,193,173,156,136,115,102,92,85,154,211,209,202,202,203,206,219,220,213,200,189,172,161,158,170,188,199,201,196,188,168,151,132,111,96,88,121,195,212,211,202,203,203,200,214,220,220,211,195,176,163,161,171,192,201,201,191,181,164,147,126,106,89,110,188,209,211,211,164,168,172,169,196,219,224,214,196,180,165,160,170,194,202,195,184,174,159,138,117,98,93,171,210,210,210,210,103,105,107,103,149,216,217,208,197,183,170,159,169,191,192,181,168,159,145,127,107,94,106,158,166,168,168,171,103,103,103,98,121,210,206,198,196,188,175,159,166,188,185,169,150,136,125,114,99,96,100,103,103,106,126,154,102,104,104,102,113,203,196,192,198,190,174,158,161,185,181,159,129,111,104,98,97,103,103,107,133,172,204,207,102,103,102,104,112,198,195,193,198,186,173,163,159,178,173,146,111,95,91,95,105,117,142,181,212,217,210,196,102,102,102,104,108,198,205,197,196,182,169,165,154,163,161,131,98,89,89,101,129,188,222,233,226,221,213,195,103,102,102,103,105,197,212,204,195,180,170,169,151,153,153,122,91,84,96,148,208,232,235,230,220,225,227,215,104,103,103,103,105,189,211,209,195,180,170,169,148,146,149,118,88,78,144,214,226,230,232,220,215,222,231,232
20,144,146,148,151,154,156,158,160,162,166,165,165,166,168,170,171,157,172,178,177,175,177,178,177,178,178,179,179,145,148,151,153,155,158,161,162,164,166,167,168,170,168,174,182,125,148,158,169,179,178,179,178,179,179,179,179,146,149,154,156,157,159,161,163,164,166,169,171,172,169,179,188,131,162,138,132,186,178,181,180,180,179,179,179,147,150,154,156,157,160,163,164,166,168,170,170,172,172,181,182,136,183,155,120,183,180,181,182,182,181,181,182,149,151,154,157,159,161,164,165,168,170,170,171,174,171,189,194,148,182,158,120,181,181,182,182,183,182,181,182,148,152,156,158,160,162,164,166,168,170,171,172,175,171,199,192,154,194,164,123,181,184,183,183,182,183,183,184,149,153,157,158,161,163,165,169,170,171,172,174,178,173,198,175,157,196,163,120,180,186,185,184,185,184,185,186,151,154,157,160,161,163,166,169,172,171,178,151,149,182,196,159,155,194,155,118,181,189,187,187,187,187,187,186,151,155,158,160,162,165,168,170,171,177,180,157,108,149,199,154,160,196,148,118,184,188,187,187,187,187,187,187,152,156,159,160,163,167,167,168,169,168,182,159,139,120,141,139,153,183,145,124,188,187,188,188,188,188,188,188,152,156,159,161,164,168,164,190,185,131,159,180,176,158,115,102,123,162,138,127,191,187,189,189,189,189,189,188,152,156,160,162,165,167,171,190,184,151,146,171,186,170,134,90,109,141,125,127,194,188,189,190,190,189,190,189,154,157,162,163,166,167,175,180,158,172,124,90,155,189,161,114,107,122,110,127,197,189,191,191,191,191,192,191,154,158,161,163,166,168,176,186,131,127,113,82,114,197,184,141,98,111,105,123,197,190,192,192,193,191,191,191,154,158,162,164,166,168,175,184,162,148,126,107,116,178,205,165,113,101,100,122,197,191,193,193,194,193,192,192,155,159,163,163,167,168,180,203,172,143,126,119,134,162,215,177,137,102,91,117,198,191,194,194,194,193,193,193,156,159,162,164,169,168,186,198,156,136,131,138,145,187,208,177,149,107,85,117,200,191,194,194,194,193,193,193,156,160,164,165,168,167,189,198,165,146,147,140,165,223,198,166,149,109,81,123,201,192,194,194,194,194,194,194,156,161,165,167,169,167,191,202,169,152,150,150,190,226,199,165,145,116,82,135,201,193,196,196,196,195,194,194,157,162,165,167,170,167,189,207,179,155,151,169,200,210,192,169,144,116,81,146,202,193,196,196,196,195,194,194,157,161,164,166,170,167,189,210,178,168,158,172,209,199,185,167,137,117,83,165,201,193,196,196,195,195,195,195,158,161,165,167,169,170,188,209,183,182,170,170,210,197,181,168,135,110,86,178,200,194,196,196,196,196,195,195,158,162,166,168,169,171,179,207,194,191,186,169,199,189,177,166,138,105,87,177,200,195,196,196,196,196,196,195,158,162,166,166,170,175,174,196,199,194,189,176,182,187,170,165,135,107,90,182,200,196,196,196,196,196,196,195,159,162,165,167,170,175,173,188,202,191,177,171,177,180,164,173,142,104,102,192,197,197,197,197,197,197,196,196,158,163,165,167,170,175,173,188,198,178,170,160,171,179,162,174,142,100,121,202,195,197,197,198,197,197,197,197,158,162,163,167,170,175,175,190,195,174,170,160,169,183,158,171,135,93,150,204,194,198,198,198,197,197,197,197,158,162,165,168,169,175,174,192,205,188,178,168,172,185,149,163,126,95,179,200,196,198,198,198,198,197,197,197
8,229,229,229,229,230,229,229,230,231,231,230,229,229,229,229,228,228,228,229,228,227,227,224,223,224,227,208,104,229,230,232,232,232,231,231,232,233,231,228,232,230,231,233,231,230,230,230,229,229,228,226,226,227,225,225,170,232,234,234,233,234,234,233,233,235,238,181,222,238,235,236,235,234,233,233,232,232,230,228,227,227,227,228,145,233,235,235,235,235,235,235,233,240,239,153,216,241,236,236,236,236,235,234,234,233,232,231,230,229,230,221,162,235,236,236,236,236,236,238,233,250,219,137,230,241,237,236,238,237,237,236,236,235,234,234,232,232,231,227,198,237,237,238,238,238,236,238,236,255,199,136,245,240,239,239,241,239,237,238,238,236,234,235,234,233,233,229,230,237,237,240,240,240,241,238,242,255,189,152,249,240,241,242,243,240,240,239,238,237,237,237,235,235,234,232,232,239,239,241,242,241,242,240,251,255,160,177,251,241,247,243,242,246,241,241,240,239,240,236,237,237,235,234,231,241,242,242,241,243,244,238,255,246,155,184,255,221,216,246,236,228,247,247,247,243,240,241,237,239,236,236,236,243,243,243,243,243,243,241,255,242,166,190,255,224,166,216,230,169,195,222,218,234,192,199,246,238,240,239,237,244,244,244,244,245,244,243,255,244,172,235,255,247,184,179,224,190,133,159,177,223,161,147,251,239,242,239,237,244,244,244,244,246,245,248,255,239,184,255,255,255,202,150,217,187,157,207,179,242,164,143,252,240,240,240,239,245,245,245,245,247,244,255,248,233,218,250,255,255,210,138,205,169,197,222,182,247,199,151,248,243,241,242,240,245,245,245,245,247,248,254,221,238,242,216,255,255,215,133,176,171,216,201,179,238,225,174,205,253,242,243,241,244,244,245,245,245,253,252,194,231,228,211,236,255,224,134,135,177,222,186,146,231,226,167,154,255,242,243,242,243,244,245,245,242,255,254,181,191,209,187,209,255,218,125,115,171,213,165,139,236,210,138,183,255,244,244,243,244,244,245,246,243,255,255,181,166,172,165,165,243,229,138,105,177,230,151,170,225,166,130,240,245,243,243,242,244,245,245,245,248,255,255,201,151,168,158,162,213,241,177,85,169,191,149,201,174,121,175,255,241,243,243,242,245,245,246,245,252,255,255,224,145,154,158,154,198,210,143,129,219,198,213,214,144,120,238,247,243,244,244,243,245,245,246,246,255,255,255,235,146,157,170,157,221,230,201,236,234,208,194,201,131,143,255,244,247,246,243,243,243,244,245,244,255,255,255,236,151,169,167,188,253,255,255,246,226,210,168,163,118,177,255,244,248,247,245,243,251,253,254,252,255,255,255,226,170,187,165,236,255,255,255,248,226,196,157,125,125,242,251,247,248,247,246,244,182,185,189,184,236,255,255,232,198,193,169,245,255,255,255,243,216,177,141,106,181,255,251,251,243,242,245,247,121,121,124,107,190,255,255,245,206,202,180,234,255,255,244,225,198,155,128,113,147,159,156,170,204,243,255,250,135,133,136,124,166,255,255,244,207,206,185,233,255,255,229,203,173,136,123,113,119,148,190,234,251,250,251,246,133,131,134,123,164,255,252,228,203,200,187,250,255,239,211,174,151,120,121,181,215,250,255,255,255,252,236,237,131,132,138,122,186,255,241,223,206,198,201,243,241,224,187,154,144,99,184,255,255,233,225,231,240,253,247,234,132,130,136,121,212,255,236,222,210,201,210,228,224,211,169,147,136,131,230,235,255,255,228,215,223,226,221,226
0,211,212,214,213,214,216,217,217,218,218,216,217,217,216,217,215,217,222,218,217,217,217,217,217,215,215,216,216,213,214,215,216,215,216,217,217,218,220,218,218,218,220,220,227,201,179,215,224,216,224,220,220,220,217,219,219,215,217,217,217,217,217,217,218,220,222,220,221,212,183,205,245,184,145,139,174,162,176,223,197,185,223,219,222,215,217,218,218,220,220,219,219,220,222,226,250,214,168,144,221,192,179,120,90,150,131,156,183,121,229,219,222,217,218,219,220,222,221,222,221,223,196,223,255,210,190,144,223,209,187,135,106,172,147,115,176,118,222,225,223,218,218,220,221,222,224,217,233,248,173,152,247,224,202,144,218,237,195,140,121,190,146,94,156,111,205,231,223,218,218,221,223,223,224,219,253,246,195,157,214,252,203,142,201,249,200,134,126,197,138,76,143,111,142,240,220,219,219,222,224,225,220,241,234,238,212,174,168,255,200,136,176,255,193,125,97,171,128,65,131,136,77,217,230,220,221,223,225,222,230,243,201,246,225,180,134,245,202,136,133,239,174,110,69,136,113,59,133,150,69,183,240,222,223,225,225,222,242,221,172,227,229,181,118,217,198,130,97,198,159,109,67,111,98,58,153,161,81,181,240,223,223,225,224,225,244,223,185,203,209,164,100,173,182,125,71,162,153,111,64,115,92,89,189,178,91,184,242,220,222,223,221,235,231,203,162,161,193,152,92,139,175,119,49,134,155,96,62,138,91,145,210,177,92,190,241,220,220,222,219,236,252,217,173,122,180,148,79,125,174,120,43,132,169,97,152,189,127,149,210,178,95,204,238,219,222,225,221,234,255,224,182,118,119,155,95,113,188,134,52,123,179,176,208,194,165,123,171,174,95,211,236,221,224,225,221,238,255,232,198,156,102,131,126,108,195,157,143,198,208,205,191,175,152,132,111,127,82,209,238,223,224,226,221,238,255,241,208,177,157,142,149,174,189,208,230,230,220,201,187,163,134,124,102,90,74,206,239,222,224,226,222,237,255,246,219,196,184,171,158,176,204,219,227,228,225,203,182,159,128,110,99,84,79,222,236,220,224,227,224,234,249,248,231,215,201,181,172,170,196,214,224,221,217,199,173,155,126,104,94,74,160,243,233,222,225,228,223,223,248,247,246,229,209,185,175,174,195,218,228,217,206,192,170,148,120,99,73,142,239,232,233,210,212,218,219,210,240,248,253,230,210,190,175,175,198,224,224,212,199,188,166,139,112,81,107,237,237,237,237,116,117,121,129,117,217,248,244,226,212,195,178,170,199,218,209,192,181,170,151,125,105,75,171,225,219,226,224,96,98,98,101,76,176,248,223,217,216,203,183,167,194,212,196,174,154,139,127,111,94,93,111,116,114,110,126,105,105,106,109,88,159,242,208,216,219,204,184,166,187,209,189,159,126,111,103,90,97,105,95,90,111,168,219,104,101,102,106,91,147,241,200,218,218,199,186,170,182,201,180,137,100,92,85,103,105,104,124,181,241,253,236,104,101,101,107,95,141,254,216,219,213,192,183,171,167,180,166,116,89,83,93,103,122,202,249,255,251,236,221,100,101,103,105,92,133,255,229,225,210,190,185,179,156,169,157,104,86,82,92,150,244,255,255,255,249,255,245,104,102,102,106,95,130,244,234,231,207,191,187,180,148,162,152,99,77,74,174,253,255,255,255,241,241,255,255,105,102,103,106,93,131,232,232,228,200,186,186,183,144,153,145,97,57,140,255,236,255,254,242,236,243,251,255
16,86,83,81,79,80,82,82,85,85,90,103,114,124,133,140,147,150,153,157,158,163,169,173,177,181,185,188,190,86,83,81,80,80,80,82,84,83,90,103,113,123,131,139,148,152,150,154,159,164,166,173,177,180,184,187,189,85,83,80,78,80,80,81,81,81,90,102,112,122,131,139,145,149,169,154,134,154,173,175,173,179,183,185,189,84,82,80,79,79,79,81,82,80,90,102,111,122,128,140,145,179,185,155,127,105,119,159,183,180,181,185,188,86,82,78,78,79,79,80,80,80,89,102,115,113,167,185,181,187,161,135,128,111,84,81,128,179,190,188,189,84,81,79,78,79,79,79,78,80,88,103,101,137,206,181,169,163,145,128,111,103,99,83,69,95,147,174,189,82,82,80,78,78,78,79,79,78,90,93,120,193,177,153,150,140,131,115,93,98,102,90,83,75,74,93,119,83,81,78,78,78,77,78,79,80,83,98,180,177,149,143,131,114,106,93,91,88,101,102,86,87,79,75,73,81,78,77,76,77,74,77,80,71,106,159,160,141,135,120,103,94,85,87,89,69,103,101,109,91,83,78,74,79,77,76,75,77,75,77,70,87,189,161,134,128,114,94,87,79,74,85,73,61,111,105,121,98,89,78,70,76,74,70,70,71,71,76,51,162,206,157,127,100,88,83,76,65,75,76,47,67,115,108,119,103,91,77,71,136,132,130,126,120,118,109,119,205,183,144,105,77,67,65,60,65,74,49,31,82,112,107,125,111,102,85,80,117,114,114,112,111,111,106,189,186,157,115,83,63,59,56,41,46,38,22,19,82,106,108,139,133,115,96,81,110,109,109,110,110,98,137,187,149,121,88,68,56,60,47,22,17,10,13,10,69,107,116,148,135,116,109,76,115,115,114,116,111,115,189,162,118,82,71,60,58,59,45,16,7,9,12,7,47,96,127,153,110,114,114,69,115,117,116,118,102,162,188,129,89,59,56,60,65,66,66,51,14,10,13,16,15,92,159,129,89,107,102,62,116,118,121,110,131,179,136,94,60,83,71,64,69,73,71,71,43,38,43,33,37,155,152,103,84,88,75,62,115,118,115,118,179,138,93,58,78,129,90,92,87,81,77,68,60,57,59,38,125,167,122,88,75,69,60,62,117,117,105,169,158,95,60,64,113,101,84,90,91,83,79,72,62,62,41,73,184,146,101,70,64,58,59,63,116,118,112,150,111,64,67,109,116,103,107,93,77,68,70,64,58,62,55,141,188,147,78,58,57,54,61,59,114,117,117,116,105,100,113,115,117,117,115,109,100,85,95,94,92,106,108,187,187,153,77,45,52,69,65,59,114,115,116,116,117,118,115,115,116,115,116,118,118,119,119,118,119,119,111,190,192,153,87,46,83,74,65,63,112,115,116,115,114,114,114,114,116,116,116,117,116,116,116,116,116,117,108,165,175,142,77,94,143,88,82,79,111,113,114,114,115,115,114,115,115,116,116,117,117,116,117,116,117,119,112,131,149,104,78,114,148,117,90,91,111,113,114,114,114,114,114,115,115,115,115,116,117,117,117,117,117,117,117,117,121,96,97,111,137,164,116,103,111,113,112,114,114,114,114,113,115,115,115,116,117,117,117,117,117,117,116,116,117,117,119,114,114,176,149,130,111,112,113,115,114,113,114,113,114,116,115,115,116,116,116,116,118,117,116,117,116,116,118,120,106,169,175,149,112,111,113,114,112,112,114,113,114,115,114,113,115,115,114,115,116,117,116,116,117,116,118,120,103,154,189,160
21,171,173,175,179,182,183,183,184,185,188,188,186,187,186,187,188,188,187,186,186,186,185,186,184,182,182,181,180,173,175,178,180,182,183,186,187,187,187,187,188,187,188,190,190,189,188,188,188,188,187,186,185,185,183,182,181,175,177,179,181,184,185,187,188,188,187,219,190,166,193,193,193,192,191,191,190,190,189,188,187,186,186,185,184,177,179,181,184,187,187,188,189,191,189,230,213,144,181,196,193,193,193,194,194,193,192,191,192,189,188,187,185,179,181,184,186,188,189,190,193,195,189,207,235,155,155,200,194,195,196,195,195,194,194,195,182,192,190,190,187,181,183,185,188,190,193,193,194,195,194,195,236,202,156,189,197,197,198,198,198,193,208,198,133,187,194,192,191,182,184,187,190,192,194,194,195,196,198,191,229,236,166,169,203,199,199,199,200,194,223,185,125,191,196,194,193,184,186,189,192,196,196,196,198,199,200,196,218,244,177,151,202,201,200,201,197,208,229,164,144,202,195,196,195,185,187,191,193,196,197,198,199,200,200,200,205,244,196,148,193,204,201,203,199,226,219,148,170,206,197,197,196,187,189,192,194,197,198,199,200,201,202,202,221,229,213,145,177,210,204,201,209,225,193,132,192,203,199,200,198,188,191,194,196,199,200,201,201,201,198,214,254,227,210,152,129,205,207,203,227,221,159,145,209,201,201,201,198,190,193,195,198,200,201,202,204,203,221,222,224,236,208,181,148,170,210,213,231,213,139,183,210,203,203,202,200,192,194,197,200,201,201,204,206,208,250,224,200,242,227,218,214,160,161,201,208,175,139,210,206,206,204,202,201,194,196,199,201,202,204,207,204,219,222,226,211,167,170,231,222,168,118,155,168,130,169,216,206,208,206,204,202,195,198,201,202,205,207,210,204,223,226,170,149,108,99,178,231,184,128,123,135,119,200,212,208,208,208,206,205,196,200,202,203,207,209,211,206,229,214,170,171,140,122,135,236,214,151,111,112,131,215,210,210,208,208,206,206,198,200,202,205,207,209,211,207,234,238,213,180,143,148,138,221,239,172,118,97,151,221,211,213,211,210,209,208,199,201,204,207,209,210,212,209,245,241,188,160,146,167,167,233,247,194,138,94,158,222,212,213,212,211,211,210,200,203,206,207,209,211,214,213,246,226,182,169,175,183,198,254,242,201,154,105,156,225,212,214,213,212,211,212,201,204,207,208,211,213,215,214,248,238,203,192,190,194,228,255,234,197,157,104,159,226,213,216,215,215,213,213,200,205,207,208,210,211,214,213,247,243,215,191,202,210,242,255,234,189,161,109,158,228,215,218,217,216,215,214,201,205,207,208,210,212,216,212,244,250,223,197,203,222,253,253,234,189,157,109,167,227,215,216,216,215,215,214,203,205,207,209,211,214,216,212,241,253,224,212,207,232,255,243,225,185,152,106,174,228,215,217,217,216,215,213,203,206,208,210,213,215,218,215,237,255,230,232,221,236,255,241,217,184,146,104,171,231,218,219,219,219,216,215,204,206,207,213,214,215,218,217,227,254,241,240,233,229,246,224,207,179,136,99,172,233,218,221,219,218,220,213,203,207,209,213,216,218,220,220,219,248,249,242,230,218,230,205,193,177,130,96,181,232,220,223,224,228,219,148,206,210,212,217,218,220,222,223,221,242,252,238,212,195,207,197,188,180,123,96,208,230,222,226,220,176,127,98,186,191,196,198,201,203,207,213,197,208,249,224,192,172,187,200,182,171,103,114,231,223,226,219,147,104,99,92
6,187,189,192,193,194,196,197,197,197,196,196,196,196,194,193,193,192,191,190,188,187,186,185,183,184,183,181,180,189,192,194,194,195,197,197,198,198,197,197,198,197,196,195,193,193,192,192,190,188,187,187,186,187,185,182,181,191,193,195,196,198,199,199,199,199,199,199,199,199,197,196,195,196,194,193,192,191,190,188,188,187,186,184,182,193,195,196,197,199,199,200,200,200,201,200,199,199,198,199,197,196,196,195,194,194,192,190,189,187,186,185,183,193,196,199,198,200,201,202,201,201,202,202,201,201,199,197,198,197,196,196,196,195,194,191,191,189,188,186,185,195,197,200,200,201,202,202,203,202,202,202,202,201,200,199,200,200,198,198,198,197,197,195,192,189,188,187,186,197,198,201,201,203,205,204,204,203,203,204,204,203,202,200,199,196,191,183,179,179,173,166,162,160,143,167,181,199,200,202,202,203,205,205,205,205,204,201,189,183,184,182,171,155,144,128,140,153,160,147,144,142,121,166,179,200,202,203,205,205,206,206,208,207,194,181,153,145,147,151,159,149,136,127,129,141,150,135,131,124,109,125,140,200,202,205,206,207,207,209,206,202,192,178,161,147,134,103,121,127,122,103,92,100,94,93,95,103,110,129,159,202,203,206,207,208,210,205,202,192,178,172,162,158,154,99,67,64,66,71,102,131,152,165,180,191,193,195,194,203,205,207,210,209,204,194,195,175,162,166,168,171,135,86,66,54,119,170,198,206,205,204,202,201,199,197,194,204,206,209,207,200,192,188,178,168,165,161,169,168,122,74,67,64,109,209,207,204,202,201,201,200,199,197,195,205,207,205,200,193,190,182,175,172,163,160,167,160,146,110,72,65,57,133,213,205,203,202,202,201,199,197,196,206,203,198,197,191,186,176,171,168,161,157,159,160,160,129,83,63,67,65,185,209,205,203,202,201,201,198,198,178,203,200,193,184,180,171,165,160,156,155,156,162,159,121,82,67,66,53,153,214,206,204,203,202,201,201,200,78,139,201,199,183,172,164,157,154,153,152,154,160,160,134,90,62,65,68,191,211,207,206,205,205,202,201,200,71,63,104,174,180,168,165,161,157,156,157,155,162,160,150,107,66,60,67,197,211,209,207,207,205,204,202,201,67,66,46,64,141,175,163,156,155,154,158,160,159,159,143,101,70,68,56,180,216,209,208,207,206,206,204,202,64,49,43,37,52,125,153,157,158,157,151,143,139,134,113,93,77,73,68,195,216,211,209,208,206,206,204,202,48,42,40,42,39,41,101,146,155,149,140,127,119,110,95,86,84,79,57,142,222,212,211,208,207,206,205,202,40,46,44,41,36,35,36,87,145,150,135,120,109,118,108,81,82,80,56,143,221,213,212,210,208,208,206,204,42,47,48,41,33,38,33,28,81,127,116,102,88,104,82,70,81,85,131,209,216,214,213,211,209,209,207,206,44,47,42,36,31,33,27,28,27,74,81,83,128,193,177,156,176,197,217,217,216,215,214,212,211,209,208,206,43,41,32,30,29,27,25,23,22,14,89,195,222,227,226,225,223,222,218,217,216,215,214,213,212,210,207,206,43,31,27,25,27,24,21,19,17,54,210,226,222,221,221,220,219,218,217,216,215,215,213,212,211,208,207,206,37,24,25,25,22,19,18,17,11,107,235,221,221,221,221,220,219,217,216,215,215,214,213,212,211,208,207,204,31,27,26,18,23,24,13,18,13,144,233,224,223,221,221,220,220,219,217,216,215,214,213,213,212,210,206,202
4,137,138,140,141,141,143,145,148,149,151,152,152,153,155,157,157,158,159,161,161,162,162,162,161,162,163,165,165,136,138,140,142,142,145,146,148,150,151,152,153,154,154,156,158,158,160,161,162,163,163,164,165,165,164,165,166,137,139,142,142,145,146,147,149,150,151,151,153,157,154,153,155,161,160,161,160,162,164,164,166,166,166,166,166,137,139,143,143,145,145,148,149,152,158,153,144,146,169,158,134,129,163,159,165,164,163,165,166,166,166,167,168,138,140,143,146,146,145,145,149,151,160,168,151,107,140,166,128,96,117,138,124,157,166,166,168,167,167,168,169,139,142,143,145,144,147,175,164,144,108,157,152,103,108,155,119,87,93,127,88,115,175,166,168,168,168,168,168,140,142,145,147,142,164,197,174,133,95,136,150,104,90,151,145,83,94,131,99,103,174,166,167,169,169,169,169,140,142,145,148,144,177,167,178,140,100,114,164,118,70,146,158,91,93,152,103,101,178,165,169,170,171,170,171,141,144,146,147,146,186,152,151,162,118,80,162,127,48,108,169,133,109,130,109,109,155,171,169,171,171,171,172,142,144,146,146,151,184,153,135,128,102,60,95,106,49,75,158,141,127,120,124,125,109,167,171,171,172,173,173,143,145,149,145,159,182,158,143,124,107,97,78,102,91,88,130,145,142,129,117,127,123,140,177,170,172,173,174,144,145,149,142,178,181,153,131,123,112,96,100,122,105,114,126,137,130,113,132,158,136,117,175,171,173,174,175,144,146,149,147,188,172,148,126,113,98,94,107,123,115,128,145,128,98,128,173,162,148,111,164,176,174,175,175,145,148,147,155,197,169,149,128,117,103,100,110,118,128,136,151,151,155,152,152,150,143,110,143,181,174,175,174,145,149,146,161,200,171,154,135,115,104,101,112,126,139,142,155,170,169,159,149,134,120,103,113,182,174,175,175,146,149,144,168,203,172,158,142,118,105,106,109,130,145,161,168,171,163,158,145,131,113,93,99,180,176,176,175,148,150,142,173,205,171,162,145,130,117,114,112,139,163,176,175,167,156,152,142,125,109,89,106,183,176,178,177,147,152,143,177,206,179,167,154,143,123,118,133,150,178,181,175,167,154,143,134,118,106,82,144,185,174,178,179,150,153,145,173,207,186,173,163,154,139,128,148,154,173,178,172,165,154,138,123,105,89,97,180,178,177,178,179,151,151,148,165,210,192,179,165,158,148,138,147,158,173,176,167,165,156,137,116,98,78,148,184,176,178,178,179,149,151,151,155,210,197,178,162,154,146,144,149,160,175,175,161,158,156,136,123,89,109,184,177,177,178,178,179,151,151,152,150,208,198,172,166,158,152,152,154,165,170,165,157,148,145,138,119,89,167,182,179,179,178,179,180,150,152,152,151,209,192,172,176,168,161,159,156,162,165,153,149,140,138,132,94,139,185,177,179,179,179,179,181,151,152,151,156,210,182,178,183,173,171,165,156,160,162,151,142,134,125,101,124,182,178,178,179,179,179,181,181,151,153,148,163,209,192,182,178,173,176,169,155,153,155,147,136,124,101,109,182,178,179,179,179,180,180,181,181,150,152,147,171,211,201,178,172,175,180,169,148,146,145,142,128,113,85,161,181,177,179,179,179,180,180,181,181,150,152,146,180,209,201,178,170,176,176,163,146,138,141,136,121,94,109,186,175,177,178,179,180,180,180,181,181,150,154,146,187,210,201,175,168,173,172,158,144,136,145,131,114,83,143,185,177,177,179,181,180,180,180,181,181
3,109,119,126,128,133,139,141,144,148,151,153,155,156,158,159,158,161,153,160,160,160,161,161,161,160,160,161,161,110,121,127,128,135,141,143,146,149,151,155,158,158,159,160,159,184,129,139,166,160,161,161,161,160,160,161,161,112,122,128,129,137,143,146,149,151,154,157,160,162,162,164,162,195,136,108,170,165,164,164,161,162,161,161,161,115,124,128,132,138,145,149,152,155,157,160,164,166,166,167,162,201,147,94,174,159,164,166,165,165,164,163,162,117,126,130,135,142,148,151,155,158,162,166,166,168,172,172,177,181,132,92,194,138,144,174,167,167,166,166,166,120,130,134,136,144,151,153,157,161,167,165,170,178,157,186,217,184,173,133,178,157,108,180,171,171,170,170,170,124,131,136,141,148,154,158,160,160,158,185,212,208,158,117,143,187,199,166,115,158,103,140,184,174,173,174,173,127,135,140,145,152,156,158,187,185,158,189,169,182,192,165,68,107,151,102,87,136,135,102,151,184,177,178,177,130,138,142,148,156,157,184,188,165,172,145,99,94,175,186,101,108,113,84,142,147,146,112,115,190,180,181,180,133,141,145,151,159,165,198,140,91,141,91,85,62,78,112,81,92,74,68,168,179,178,124,117,192,184,185,184,135,143,147,153,161,170,202,155,100,150,126,118,90,100,87,68,74,76,74,172,205,193,132,119,196,186,188,187,138,144,148,156,165,168,206,171,127,160,177,156,130,117,105,100,92,87,77,154,207,193,131,124,199,188,190,190,141,147,151,159,169,170,204,192,166,151,150,119,121,129,128,135,111,123,115,148,205,187,122,123,201,191,194,193,143,149,153,161,171,174,209,194,154,136,133,121,127,136,152,147,158,176,197,195,182,160,112,119,204,195,196,196,146,152,156,165,173,176,211,194,150,127,123,130,135,149,165,173,196,201,207,196,158,123,109,116,205,197,198,198,148,154,159,167,176,178,210,205,169,137,124,141,141,155,185,191,201,207,205,180,140,111,95,130,211,200,202,202,151,156,161,169,178,179,206,219,184,155,129,128,141,169,194,198,209,214,201,167,128,104,84,185,210,204,204,203,153,158,162,171,181,182,200,224,199,175,147,127,142,166,192,205,219,213,188,151,125,83,126,218,205,207,206,205,154,159,165,174,182,186,196,225,212,187,162,144,144,156,186,210,217,206,175,137,111,80,183,214,206,208,208,206,157,160,167,176,183,190,194,221,219,201,172,163,158,155,181,208,209,193,159,126,91,105,216,209,208,208,211,216,159,163,170,178,186,192,193,208,216,213,189,175,167,153,190,197,202,173,139,113,76,158,220,209,217,222,206,173,161,166,172,180,188,194,196,196,211,214,199,185,173,151,182,190,180,152,120,92,89,213,223,214,187,137,85,57,163,167,174,183,190,196,200,194,200,208,201,190,173,151,149,179,159,132,109,74,161,221,154,102,65,50,50,48,166,169,177,185,192,197,200,201,194,208,202,190,174,152,137,159,154,123,96,104,186,100,54,47,51,47,49,43,168,171,179,186,193,199,201,204,194,211,198,182,169,145,134,144,140,117,89,105,90,56,64,42,40,56,44,37,170,172,179,188,194,199,202,205,199,209,182,165,163,144,138,134,126,116,91,57,43,55,72,44,25,49,54,32,167,171,179,188,194,198,202,205,193,211,195,176,178,161,142,134,119,116,81,59,45,32,64,57,22,33,58,46,168,172,181,189,196,200,202,210,188,208,211,193,196,166,146,134,116,114,74,54,55,25,40,65,34,22,44,55
7,189,191,193,196,198,197,200,200,200,201,200,200,201,200,200,199,199,197,198,197,194,193,194,192,189,190,189,187,191,193,194,198,200,201,202,202,201,202,201,202,200,200,200,200,199,198,198,197,197,195,194,192,191,191,190,188,191,193,197,199,200,202,204,203,204,205,203,203,202,202,201,202,201,200,199,197,198,197,196,194,194,193,192,190,194,195,198,200,202,203,204,205,205,205,205,205,205,204,204,203,201,201,201,200,200,199,197,196,196,194,193,192,195,197,200,201,204,203,204,206,205,205,205,205,205,204,205,205,204,204,202,200,200,200,199,197,196,195,195,193,195,200,201,202,203,204,206,206,206,206,206,207,206,205,204,204,206,206,205,204,204,201,197,199,198,198,196,193,197,199,202,206,205,205,207,208,208,208,208,208,208,209,209,208,206,203,198,193,174,184,200,185,201,199,197,196,200,200,201,206,206,208,209,212,212,213,210,205,201,193,185,183,184,174,167,168,146,186,207,157,195,198,200,197,200,201,204,204,207,210,207,199,189,191,190,181,168,152,145,160,179,174,159,151,141,146,162,141,192,197,183,200,200,204,204,207,210,202,190,169,161,159,157,165,160,155,140,135,141,127,132,138,135,134,147,158,210,209,137,197,203,205,205,206,205,194,178,167,166,158,147,149,157,153,130,126,120,147,168,185,164,161,159,159,162,156,146,203,202,204,202,195,185,181,180,178,164,127,122,145,167,163,149,145,134,151,167,170,152,138,123,116,125,158,198,204,201,197,190,185,182,182,174,177,162,112,116,129,137,134,131,136,124,120,131,117,113,117,147,179,200,210,204,204,194,190,188,187,188,174,165,165,164,142,106,90,81,79,82,95,95,105,126,152,180,202,215,212,208,205,205,204,192,190,186,181,175,169,168,167,171,162,120,85,62,91,145,150,171,189,213,221,217,212,208,208,206,206,206,205,190,184,177,171,167,163,162,161,159,141,118,92,80,93,201,232,221,220,215,211,211,211,210,210,209,208,206,205,186,176,170,162,157,153,148,144,142,133,107,82,85,83,78,198,222,215,216,213,213,212,213,211,210,209,209,207,175,177,162,159,148,147,144,139,139,135,109,77,80,102,74,113,230,216,217,216,215,213,213,212,210,210,210,209,82,146,166,159,152,146,144,145,147,146,111,76,72,93,88,112,227,219,219,218,217,216,215,213,211,210,211,208,50,59,136,166,157,151,142,135,133,123,101,84,78,69,62,142,233,218,220,218,217,217,216,214,212,211,211,210,54,46,56,143,163,153,144,131,119,107,95,92,88,72,66,89,218,223,221,219,218,217,215,214,213,212,212,211,49,50,39,69,146,138,129,120,112,99,92,91,91,79,66,95,220,223,221,220,219,218,217,216,214,214,212,211,46,42,44,40,84,117,105,92,90,66,68,87,81,94,158,194,228,220,220,221,220,218,218,217,216,215,213,212,40,39,41,43,32,43,88,136,62,55,65,75,90,196,241,227,224,224,222,220,221,219,218,218,217,215,213,213,32,35,39,48,20,41,195,201,54,62,74,122,204,233,224,225,224,225,224,220,222,220,218,218,218,216,215,213,33,30,48,36,56,204,236,225,167,160,195,230,232,225,227,226,224,224,224,221,219,221,219,219,218,217,216,213,61,46,35,64,213,229,222,226,234,235,232,225,224,225,225,225,225,225,224,221,220,219,219,218,217,217,214,212,46,42,22,138,238,218,225,225,224,224,225,225,225,225,225,225,225,225,224,221,221,220,219,219,217,217,215,212
16,88,88,89,90,91,103,115,126,136,144,152,158,161,162,165,171,175,180,185,188,192,195,197,200,203,204,207,210,87,87,89,89,91,104,116,126,136,143,153,159,160,162,165,169,174,180,185,190,192,195,198,201,204,205,208,210,86,86,88,88,90,103,115,126,134,143,152,158,160,159,164,168,171,178,183,188,190,194,196,200,203,206,208,209,85,85,89,88,90,104,114,126,136,146,153,158,159,160,160,170,176,178,182,187,190,194,195,199,204,205,208,210,85,85,88,88,92,104,115,125,135,141,149,151,176,182,150,134,157,183,189,185,188,193,198,200,203,205,208,211,85,85,86,86,91,103,114,126,130,152,162,179,201,178,152,126,103,116,159,191,195,195,197,199,204,206,209,210,84,84,86,84,89,101,115,116,151,211,197,198,185,155,135,132,112,90,80,117,169,191,201,204,204,205,208,209,84,85,85,85,88,103,110,120,206,205,183,173,164,145,127,110,109,101,86,80,86,112,142,173,201,211,207,209,82,84,85,83,88,98,110,201,207,169,160,154,141,130,110,99,102,108,92,90,85,80,80,90,124,177,210,215,81,83,85,82,89,84,156,212,166,154,144,130,116,104,97,97,89,115,101,98,91,85,80,78,77,90,137,194,75,75,76,75,77,138,173,161,147,139,120,105,96,88,93,81,80,111,110,119,96,89,80,77,80,80,75,98,126,121,123,116,148,195,152,140,133,113,97,91,79,83,88,57,83,114,118,121,101,94,80,77,76,79,82,75,118,122,121,120,214,195,157,126,103,94,87,74,70,84,66,43,98,115,119,123,106,98,84,82,75,76,79,79,114,119,100,154,218,180,139,104,77,74,66,61,72,65,32,41,102,112,118,134,122,110,91,85,74,74,77,76,124,118,127,207,189,158,110,82,64,70,53,42,37,27,18,27,98,108,124,150,141,120,105,78,72,76,75,72,125,109,178,187,151,121,86,67,60,62,35,18,16,13,16,17,85,109,131,161,129,125,114,72,71,72,72,69,115,142,200,158,113,85,70,63,64,62,43,15,11,12,12,10,59,101,153,150,104,127,113,68,70,67,70,69,115,196,182,128,85,59,59,65,70,71,72,52,16,19,25,27,22,124,174,123,95,117,93,67,70,68,70,66,159,183,133,90,70,90,73,72,75,77,76,69,48,50,52,36,65,180,149,102,91,91,72,67,67,68,65,63,190,131,92,57,97,118,89,99,88,85,79,70,64,64,59,43,152,171,126,90,77,69,63,68,66,64,66,71,143,94,58,81,115,95,94,94,91,85,80,71,63,61,41,92,192,152,107,75,66,60,61,63,60,65,72,73,98,65,83,120,121,115,113,96,83,76,81,66,65,79,84,160,194,155,86,64,61,63,65,63,64,70,69,69,103,104,120,121,123,123,121,121,113,107,114,109,113,123,117,193,197,160,81,47,55,69,67,65,67,68,70,71,124,122,120,120,122,123,122,124,123,125,123,125,125,123,118,196,202,166,95,55,102,84,78,74,72,74,73,73,120,119,119,121,122,122,122,122,121,121,123,123,123,125,114,169,186,151,86,106,152,95,89,89,87,85,77,74,120,120,119,120,123,121,120,121,122,123,122,123,124,127,118,133,159,117,82,114,161,140,102,94,99,100,90,77,121,121,119,120,122,122,120,121,122,122,120,121,125,124,122,122,129,101,99,116,140,177,137,122,117,116,105,93,120,120,121,121,122,122,121,122,122,122,122,123,125,124,124,124,124,123,124,120,121,189,163,145,135,126,116,103
12,171,172,174,175,175,176,176,177,180,181,180,183,185,183,182,183,185,185,185,186,184,185,184,185,185,184,185,186,172,173,174,175,176,177,176,178,180,177,181,176,171,184,186,179,170,177,186,185,185,186,186,186,185,186,186,186,173,174,175,176,177,177,178,180,179,196,199,168,140,144,197,178,154,134,180,191,188,188,187,187,186,185,186,186,174,175,175,176,177,178,181,176,195,225,204,162,150,124,190,172,157,135,139,159,167,187,187,186,187,187,187,187,173,175,175,176,178,178,180,178,211,198,198,175,177,128,169,185,168,137,118,146,130,139,190,188,189,189,189,188,175,175,177,177,178,180,179,184,220,177,185,188,170,131,159,194,173,131,126,155,142,106,171,196,188,189,190,189,176,177,178,179,181,181,179,192,225,176,188,169,145,113,104,165,146,119,137,168,150,117,167,195,188,190,190,189,176,178,179,180,179,183,175,169,200,143,180,174,153,120,87,112,107,94,180,181,148,117,180,192,190,191,190,189,177,178,180,179,183,201,179,153,140,129,154,177,170,170,154,147,133,100,156,159,127,117,192,190,192,192,190,190,178,180,181,176,209,215,186,166,131,130,150,156,155,170,175,174,173,137,98,106,107,134,199,191,192,191,190,189,179,182,176,195,215,210,198,173,142,131,159,146,125,145,149,175,193,168,130,91,96,159,201,191,191,191,190,190,179,182,176,219,197,197,203,179,150,128,128,137,122,124,132,186,196,187,167,115,95,178,197,193,192,191,190,190,179,177,193,214,173,163,193,182,159,137,119,129,121,134,152,185,191,193,185,146,109,189,195,195,192,192,192,191,179,176,207,204,186,167,162,188,163,137,120,129,120,131,140,176,197,188,189,170,124,190,196,194,192,193,192,192,179,177,215,209,194,169,137,176,170,137,121,119,121,133,153,166,178,193,176,181,134,171,201,192,195,193,194,194,178,179,210,186,162,144,123,137,181,150,142,113,131,134,170,192,181,181,171,164,147,138,202,194,195,195,195,195,178,181,218,197,179,160,144,129,162,169,170,131,138,153,193,197,194,179,164,152,145,126,200,195,195,196,195,194,181,181,222,205,182,165,155,138,134,158,152,142,150,187,206,199,193,178,163,147,129,139,202,194,196,195,195,195,182,183,224,207,187,173,161,139,136,159,134,145,173,206,207,198,191,178,165,147,118,154,204,195,196,196,196,196,181,186,227,209,192,180,168,145,140,167,150,169,200,215,206,196,186,176,164,147,113,165,204,196,196,196,196,196,181,190,232,209,192,184,173,159,143,161,164,181,214,216,206,194,182,174,162,142,110,179,201,196,196,196,196,196,178,192,234,211,197,187,175,171,153,157,174,182,221,212,201,191,180,174,156,136,117,191,200,197,197,197,196,196,179,190,229,214,205,190,180,174,165,154,180,181,221,208,194,189,181,171,154,128,126,198,196,197,198,198,196,196,184,185,219,218,210,196,185,180,174,157,178,182,216,206,187,183,179,167,152,121,143,204,195,198,198,197,196,196,184,181,211,222,210,200,189,186,177,161,168,179,210,203,184,181,177,160,148,113,168,203,195,198,199,197,197,196,184,180,204,226,211,203,194,186,176,165,164,169,201,200,182,177,172,160,141,116,188,200,197,197,199,198,197,197,184,180,196,230,215,203,193,183,171,166,167,165,188,193,174,170,169,162,128,133,203,196,198,199,198,198,197,197,184,180,199,233,211,196,190,180,170,163,166,167,179,184,170,166,169,157,116,163,205,196,198,199,198,198,199,197
22,87,90,97,106,115,123,129,132,136,141,145,149,151,154,157,159,159,161,161,161,161,161,159,158,158,158,158,156,87,91,98,109,118,125,131,134,138,143,147,151,154,157,159,160,161,163,164,164,164,164,162,162,161,161,160,159,88,93,98,110,119,127,133,136,141,146,151,154,157,158,161,163,164,165,166,167,167,166,165,165,165,164,164,163,89,93,100,111,121,130,136,138,142,148,154,156,158,161,163,165,166,168,168,169,170,170,169,168,167,167,167,166,90,94,102,113,123,133,138,140,145,150,157,174,141,155,167,168,169,171,174,163,153,173,172,171,169,152,164,168,90,94,102,115,125,134,139,142,147,152,166,194,126,141,169,169,172,174,186,150,112,171,175,181,165,111,145,172,90,94,103,116,126,135,140,143,149,154,170,202,134,136,173,172,175,180,186,132,110,177,180,188,156,104,156,175,91,94,104,117,129,137,141,145,152,157,169,208,151,133,174,176,177,189,183,116,134,183,194,181,126,120,175,176,92,95,105,118,130,139,143,147,154,159,171,214,166,127,174,178,180,186,167,105,156,190,199,169,115,156,181,179,92,96,107,120,131,140,144,148,156,161,170,211,170,124,169,180,185,191,153,97,177,200,179,140,124,179,182,181,93,96,107,120,132,141,147,150,157,164,169,208,185,134,160,183,194,201,139,103,208,213,168,111,152,185,184,183,92,96,107,121,133,143,148,152,159,165,169,204,197,147,149,185,192,190,113,136,223,205,149,113,179,186,187,185,93,97,109,122,134,144,149,153,160,167,170,188,193,137,119,172,182,185,163,197,209,177,116,135,191,189,188,187,95,98,109,123,135,146,151,154,161,168,172,172,189,135,137,181,189,197,209,209,190,139,100,172,193,190,189,188,94,98,110,125,137,147,151,156,161,174,184,152,177,156,158,198,190,203,204,201,165,108,131,195,194,192,190,190,93,98,111,125,137,148,152,156,162,190,194,169,155,154,141,162,180,200,196,178,141,101,164,199,196,194,192,192,94,98,111,126,138,149,153,158,164,189,190,188,179,171,133,95,134,169,170,142,125,98,179,200,198,196,194,193,94,99,113,126,139,149,154,159,165,183,193,176,175,162,131,106,91,99,120,116,107,97,190,202,200,198,196,195,94,99,113,127,141,150,155,160,165,187,192,171,150,143,147,136,112,89,84,80,95,93,189,203,200,198,198,197,95,99,113,128,141,150,156,160,166,187,221,192,148,141,152,157,137,115,105,80,69,84,184,203,201,200,199,199,95,99,113,128,141,151,156,160,167,183,229,192,167,167,191,194,157,131,117,77,58,77,186,204,202,201,200,199,94,99,114,129,142,152,156,160,168,180,228,200,179,198,223,211,172,139,114,74,56,88,196,204,203,202,200,201,94,99,114,129,143,153,156,161,169,178,222,208,184,199,223,195,170,133,109,77,55,107,205,205,204,203,202,201,93,99,114,129,142,152,156,162,170,176,212,218,198,192,221,184,171,150,110,77,55,117,208,207,206,204,202,201,90,98,114,129,143,152,156,162,170,176,200,221,205,180,213,188,167,153,109,72,55,134,209,207,207,205,203,202,89,97,114,129,142,151,154,162,170,177,190,215,203,166,190,177,151,133,94,65,63,166,209,207,206,204,203,202,88,96,113,129,142,151,155,162,171,162,140,192,192,150,150,147,124,102,76,64,85,195,209,207,207,204,204,203,86,94,112,128,142,151,155,162,171,105,38,152,175,133,138,141,125,98,79,64,108,208,209,207,207,205,204,204
10,82,91,104,110,114,120,123,125,129,132,134,136,138,139,141,143,145,147,148,149,150,151,153,153,155,156,157,158,83,92,105,111,115,120,124,126,130,133,135,137,139,141,144,144,140,142,151,150,152,154,155,155,156,158,160,160,85,96,109,113,116,122,124,127,132,135,136,138,140,143,143,154,141,104,151,152,154,155,157,158,159,162,162,163,88,97,109,114,118,122,127,130,132,135,137,140,142,145,143,163,151,90,139,157,155,157,159,160,161,162,163,164,88,99,110,115,119,123,127,131,133,136,137,140,143,145,143,164,155,96,128,160,156,160,161,162,162,163,164,165,89,100,111,114,119,125,129,131,133,136,138,139,142,149,146,157,162,111,116,163,156,159,161,163,163,164,164,165,91,102,112,115,121,126,130,132,134,136,138,143,149,122,144,161,173,128,102,163,159,160,162,164,165,164,165,167,93,105,114,117,122,127,130,133,135,136,138,145,159,96,104,166,170,141,94,155,162,162,163,164,165,168,168,169,93,106,114,118,123,128,129,136,141,142,143,158,144,102,75,160,160,137,91,149,166,164,164,163,166,167,167,167,95,107,115,119,122,129,144,115,106,102,112,150,157,125,76,137,158,125,87,138,168,164,165,166,168,168,169,169,96,108,115,119,122,133,134,94,68,64,61,84,159,142,79,105,146,111,87,127,170,164,167,168,169,171,171,171,98,110,115,120,125,131,126,103,75,62,85,70,129,156,94,98,125,93,87,113,173,164,168,169,170,171,172,171,99,109,116,121,125,130,137,137,134,114,86,61,118,163,110,86,93,78,87,100,173,165,169,170,171,172,171,171,99,110,115,121,126,132,135,132,167,159,85,55,144,166,122,70,63,77,89,93,169,168,170,171,172,172,171,172,99,111,115,121,126,129,133,133,168,152,94,44,160,168,128,80,56,80,92,78,158,171,170,171,173,172,172,172,101,112,116,121,128,127,154,153,165,162,93,35,178,168,127,85,58,75,89,69,145,176,170,172,173,174,174,174,102,112,117,121,128,125,169,166,157,156,81,89,184,156,123,80,58,67,83,59,134,178,169,172,173,174,175,175,103,112,117,124,127,128,148,167,151,146,107,181,170,148,129,84,62,67,71,61,156,174,170,172,174,175,175,176,105,112,116,124,128,133,137,145,125,147,161,196,168,143,125,89,66,68,59,87,178,168,171,172,174,175,175,176,106,112,118,123,128,134,137,149,123,166,193,189,166,138,117,90,68,64,51,128,178,169,171,172,174,176,176,176,106,112,118,122,128,134,135,168,153,137,189,183,162,136,115,92,70,58,59,162,172,171,172,173,175,176,176,175,106,112,118,123,127,132,136,179,167,130,183,180,162,134,113,94,73,50,92,178,168,171,173,175,175,176,176,177,107,113,118,123,127,131,140,187,175,155,189,175,161,137,115,96,71,47,138,176,168,173,174,175,175,176,176,177,106,113,118,123,129,131,143,193,179,166,182,176,170,140,115,97,63,66,170,170,171,173,174,175,176,176,176,177,108,113,119,126,129,132,142,191,173,172,177,173,178,147,112,96,56,101,178,167,171,172,173,175,176,177,177,178,108,112,118,124,129,132,142,184,165,167,175,174,177,149,113,91,52,138,175,169,172,173,175,175,176,177,178,178,108,113,119,125,129,132,141,165,164,178,178,172,173,144,110,78,76,171,169,170,172,174,174,175,176,177,178,179,107,112,119,125,128,133,136,171,179,185,177,166,167,138,107,66,109,176,167,170,172,174,175,176,177,177,177,179
20,105,107,109,112,114,116,118,120,122,126,124,125,126,127,129,130,117,131,137,136,134,136,137,136,137,137,138,138,105,109,111,113,115,118,121,121,123,126,126,127,129,127,133,141,87,108,118,129,138,137,138,137,138,138,138,138,107,109,114,116,117,119,121,123,124,126,128,130,131,128,138,147,93,122,99,93,145,137,139,139,139,138,138,138,107,110,114,116,117,120,123,124,125,127,129,129,131,131,140,141,97,141,115,82,142,138,140,140,140,140,140,141,109,111,114,117,119,120,123,125,127,129,130,130,133,131,148,152,108,141,118,82,140,140,141,141,142,141,140,141,109,113,116,118,120,121,124,126,128,129,131,132,134,130,157,151,114,152,124,84,140,143,141,142,141,142,141,142,110,113,116,118,121,123,125,128,129,130,131,133,137,132,156,134,117,154,123,82,139,145,143,143,143,143,143,144,111,114,117,120,121,123,126,129,132,131,137,111,109,141,154,119,115,152,115,79,140,147,145,145,146,145,145,145,111,115,118,120,122,125,127,130,131,136,139,117,70,110,157,114,120,154,108,80,143,147,146,145,146,146,145,146,112,116,119,120,123,127,127,128,128,128,141,119,100,82,102,100,113,142,105,86,146,145,147,146,146,146,146,147,112,116,119,120,123,127,124,149,144,92,119,139,135,118,77,64,84,122,99,88,150,146,148,148,148,148,148,146,112,116,120,121,124,127,131,148,143,112,106,131,144,130,95,53,72,102,87,88,152,146,148,148,148,148,148,148,114,117,121,122,126,127,134,139,118,131,85,53,115,147,121,76,69,84,72,89,155,148,150,149,149,149,150,150,114,118,121,123,126,127,135,145,92,88,75,45,76,155,143,101,61,73,68,85,155,148,150,150,151,150,149,150,114,118,121,124,126,127,135,143,122,108,87,70,78,137,162,124,75,64,63,84,155,149,151,151,152,151,150,150,115,118,122,123,127,127,139,161,131,104,87,81,95,122,173,136,98,65,54,79,156,150,152,152,152,152,151,151,116,119,122,123,128,127,145,156,116,97,92,98,105,146,166,136,109,69,48,79,158,150,152,152,152,152,152,151,116,120,123,125,128,126,148,156,124,106,107,101,124,180,156,126,110,71,45,84,158,150,152,153,153,153,152,152,116,121,125,126,128,126,150,160,129,112,111,110,148,183,157,124,105,78,45,96,159,151,154,154,154,154,152,153,117,122,124,126,129,127,148,165,138,115,111,128,158,168,151,128,104,78,44,107,160,151,154,154,154,153,152,152,117,121,123,125,130,127,148,167,137,127,118,131,166,157,143,127,98,79,46,125,159,151,154,154,153,153,153,153,117,121,124,127,129,129,146,167,142,141,129,129,168,155,140,127,96,73,50,137,158,153,154,154,154,154,153,153,117,122,125,127,129,131,138,164,152,149,145,128,157,147,136,125,99,68,50,136,158,154,154,154,154,154,154,153,118,122,125,126,130,135,133,154,157,153,147,136,141,145,130,125,96,69,53,141,158,154,155,154,154,154,154,154,119,122,125,127,129,134,132,146,160,149,136,131,136,139,124,133,102,66,64,151,155,155,155,155,155,155,155,155,118,122,125,126,129,134,132,146,157,137,129,119,130,138,122,134,103,63,83,160,153,155,155,156,155,155,155,155,118,122,123,126,129,134,134,148,153,133,129,120,129,142,118,130,96,56,111,162,152,156,156,156,156,155,155,155,118,122,124,128,129,134,133,150,163,147,137,127,131,144,110,122,88,57,138,158,154,156,156,156,156,155,155,156
23,149,151,155,156,157,158,159,160,160,161,162,161,161,160,161,161,162,162,162,162,161,162,162,162,162,160,161,160,151,153,156,157,158,159,160,161,162,161,161,161,162,162,163,164,165,164,165,162,162,163,163,162,163,162,162,162,154,156,157,160,160,161,162,162,164,163,163,163,165,162,162,160,152,155,164,167,165,165,166,165,165,165,164,163,155,156,159,160,161,163,164,165,164,166,168,166,163,173,184,167,150,137,148,137,157,169,168,167,167,167,166,164,156,158,161,162,163,164,166,167,166,168,168,166,177,185,174,154,132,131,116,95,159,171,168,169,169,168,168,167,157,160,162,163,165,167,167,167,167,168,169,180,180,147,140,111,121,126,125,154,171,168,170,169,170,171,170,170,159,161,163,164,166,167,168,168,170,168,169,176,157,113,108,144,177,175,178,175,170,172,172,171,171,172,172,171,161,163,165,167,167,168,169,169,171,170,171,168,145,120,114,187,170,171,165,165,175,171,173,174,174,173,173,172,162,164,166,168,168,170,171,171,172,172,174,169,145,142,109,170,171,180,168,110,154,177,174,174,175,175,174,173,163,166,168,169,170,171,172,173,173,173,172,174,159,143,129,181,192,185,166,99,124,186,175,176,175,175,174,174,165,168,169,169,172,173,173,174,174,174,172,178,167,173,192,189,174,171,160,85,99,144,148,180,175,175,175,174,165,167,169,170,172,173,173,174,175,175,174,173,177,187,181,173,176,167,135,90,52,107,113,181,178,176,176,176,166,167,170,172,173,173,174,175,176,175,172,173,179,185,186,173,172,162,98,76,47,86,79,110,185,179,178,178,167,168,170,173,173,173,175,176,176,178,177,176,177,180,175,167,172,154,90,70,50,68,79,60,115,187,177,178,168,169,171,173,174,175,176,178,176,183,187,171,173,173,174,174,164,123,85,74,52,59,77,79,72,177,181,179,169,170,172,174,175,176,177,178,178,178,182,174,176,177,169,149,114,78,88,79,55,55,76,70,114,187,179,179,169,171,172,173,176,177,177,178,179,172,178,175,172,158,135,102,58,65,91,76,50,65,82,75,168,187,180,180,169,172,173,175,177,177,178,179,180,174,176,172,167,158,119,83,54,82,80,52,48,71,75,124,190,181,182,181,168,171,173,175,177,177,178,179,180,175,174,170,174,160,100,64,55,64,48,48,59,69,80,172,187,183,184,183,169,171,172,174,174,176,178,178,179,174,170,170,177,144,97,77,50,47,51,61,76,66,115,191,182,184,185,184,169,172,173,174,175,177,177,177,178,174,171,175,179,148,106,86,53,51,74,84,89,73,152,193,184,184,184,184,169,171,173,175,177,178,177,177,179,172,168,182,175,149,115,91,67,56,82,90,92,77,165,190,183,184,184,184,168,171,174,175,177,178,178,177,180,172,164,182,174,148,119,93,76,58,82,92,89,87,181,186,184,184,183,183,168,171,174,175,177,178,179,178,180,170,164,176,170,146,116,92,80,62,80,95,78,113,193,183,185,185,185,184,170,171,173,174,176,177,178,178,181,163,161,174,167,141,114,90,79,68,75,89,73,162,189,183,184,184,185,185,171,173,176,177,180,182,183,183,186,161,171,175,158,136,112,90,78,74,71,74,137,194,187,188,187,187,186,183,112,116,120,123,125,127,130,135,132,148,187,177,154,128,106,90,79,77,68,124,178,172,174,180,180,176,174,172,88,89,90,90,90,91,93,93,83,158,196,176,152,121,105,92,78,76,83,100,109,123,130,152,163,154,160,160
18,153,154,155,157,159,160,160,160,162,162,162,163,163,161,161,162,161,160,160,159,159,159,158,158,156,156,155,154,154,156,157,158,159,161,162,162,164,164,164,165,165,164,163,163,162,162,161,161,162,161,159,158,159,158,157,157,158,158,159,160,162,163,164,164,164,164,165,165,165,165,164,164,164,163,162,162,162,161,162,160,161,159,158,158,158,159,161,163,164,164,165,165,166,166,165,165,166,166,165,166,165,165,164,164,163,164,165,161,161,160,159,159,159,160,162,163,165,165,165,165,166,167,166,167,167,167,167,167,166,166,166,165,164,162,159,163,162,162,161,160,160,160,163,165,165,166,167,167,167,168,168,168,169,168,169,168,167,165,166,163,183,149,118,169,163,163,163,161,162,164,164,166,166,166,169,169,169,170,170,169,169,169,169,169,172,171,167,169,198,150,82,160,166,164,163,163,163,165,166,166,168,169,170,171,171,171,171,171,171,170,174,157,131,153,144,136,197,169,91,120,176,163,165,165,164,165,167,168,169,171,172,172,172,173,172,173,172,172,188,174,131,109,118,135,197,179,120,73,149,173,164,166,164,166,168,170,170,171,172,173,174,175,175,173,176,164,129,153,163,124,95,119,177,177,135,105,91,155,171,165,166,167,169,171,171,172,173,175,175,175,174,184,182,161,126,83,142,137,97,77,108,155,145,122,96,90,173,167,166,169,170,172,172,174,175,175,177,173,191,199,196,166,142,99,97,137,94,67,60,116,164,125,107,74,164,171,168,170,171,172,174,175,175,176,176,179,197,181,202,170,145,110,71,95,83,64,50,136,172,144,111,79,166,171,170,170,172,174,176,176,176,179,175,200,199,162,183,161,151,109,72,73,75,65,50,115,170,155,114,75,163,173,170,171,173,175,176,177,178,177,190,198,183,166,174,137,119,93,69,88,69,51,52,117,163,158,117,74,164,175,171,173,175,176,177,178,177,181,206,188,156,136,162,101,89,80,82,105,66,83,103,130,164,147,110,72,163,177,172,174,175,176,177,179,178,183,212,199,175,135,117,113,107,49,81,111,135,159,161,128,133,128,108,68,155,178,172,175,176,178,179,182,179,190,211,201,185,146,107,120,99,30,124,182,182,162,149,136,100,113,110,68,144,182,174,176,177,179,180,183,179,201,211,199,168,139,127,118,85,101,199,189,178,159,130,131,105,97,103,65,154,183,176,177,178,179,181,182,182,204,209,191,157,148,126,99,103,182,192,183,169,153,131,120,110,89,81,85,180,177,175,176,178,180,182,181,186,207,208,186,159,154,125,102,155,196,186,176,165,150,127,114,104,88,63,139,186,175,176,177,178,180,182,182,188,207,204,187,163,168,122,140,166,187,183,167,161,146,116,107,96,76,75,179,179,179,178,178,179,181,183,183,189,204,200,186,176,162,127,129,166,170,174,158,152,133,110,98,91,59,123,190,178,180,178,178,179,182,183,182,188,203,198,189,181,148,119,117,154,160,158,153,142,123,104,91,73,71,177,183,181,181,178,179,180,182,184,183,192,199,195,193,168,127,103,130,142,155,151,142,131,110,92,79,52,140,191,181,183,182,179,180,182,181,184,184,196,194,185,178,151,125,122,138,143,151,147,133,119,99,84,55,106,190,181,182,184,182,179,181,183,184,184,183,203,201,200,187,177,162,146,130,142,151,138,118,103,92,62,88,187,184,183,183,183,183,178,182,178,171,185,188,208,201,201,190,174,159,144,122,132,145,125,106,95,75,72,173,189,185,184,184,184,184
21,164,169,174,174,177,181,184,187,188,191,192,193,195,196,197,197,197,200,199,197,197,196,196,194,193,193,193,192,164,170,174,176,178,181,185,187,190,192,193,194,196,198,198,199,200,177,193,200,198,197,197,197,196,194,194,193,165,171,175,176,180,183,186,188,191,194,195,195,197,200,199,204,214,137,159,206,197,199,199,198,196,195,195,195,165,172,175,176,180,184,187,189,191,194,195,196,199,200,199,208,212,139,160,209,200,200,200,198,198,198,197,197,167,173,176,176,181,185,188,191,192,193,196,198,199,201,199,212,206,144,161,209,201,201,202,189,159,190,200,196,168,173,176,178,183,187,189,193,193,195,198,199,200,201,200,215,206,145,163,212,203,204,200,177,129,181,204,198,168,174,177,179,182,187,190,194,195,197,199,200,202,204,202,216,206,151,164,212,204,203,198,170,135,196,201,201,168,174,178,179,182,186,191,193,196,199,200,201,203,206,202,216,204,153,158,212,203,203,194,160,146,207,201,201,169,175,179,180,184,187,192,194,197,199,201,202,204,206,203,218,205,156,150,213,205,202,192,149,169,209,202,202,170,175,178,180,186,189,194,196,199,200,202,204,205,206,203,226,212,153,154,215,203,196,185,138,189,207,203,203,170,177,180,182,186,190,193,196,198,200,202,204,204,207,206,228,203,147,163,216,198,197,166,140,206,205,204,203,171,179,182,183,187,191,193,196,199,200,202,205,207,199,207,221,184,136,162,215,199,198,145,163,214,205,206,205,171,179,182,182,187,192,194,197,199,202,203,213,194,164,171,190,154,125,163,212,205,186,134,192,213,206,207,206,172,179,182,183,187,192,194,198,202,203,204,211,193,159,146,129,127,132,172,200,198,161,141,212,210,208,208,207,172,179,182,184,189,193,195,199,201,202,208,209,203,195,178,147,114,138,165,177,175,136,166,219,209,211,210,209,172,180,182,184,190,193,196,200,203,203,215,227,214,233,204,165,122,122,138,148,152,127,193,217,210,212,211,209,174,182,184,184,190,194,197,201,202,207,209,200,213,220,193,148,128,120,126,136,135,136,212,214,212,212,212,210,175,180,183,185,190,194,199,201,202,215,201,170,208,178,184,160,137,127,119,126,123,149,219,213,213,212,212,211,174,180,182,186,190,194,199,203,203,215,220,190,164,128,176,182,149,130,125,121,118,152,221,214,214,213,212,211,175,182,183,186,191,195,198,203,203,217,208,167,148,135,153,194,163,141,129,126,117,145,222,215,215,215,213,213,175,182,182,186,191,196,199,203,203,224,206,181,185,159,182,217,172,163,140,128,121,148,221,217,216,215,214,214,176,181,182,186,192,196,200,204,205,230,211,199,179,171,236,223,178,169,146,132,124,153,223,217,217,217,216,214,176,181,184,187,192,196,201,205,206,227,227,204,171,205,240,206,172,161,150,137,127,158,223,218,219,218,218,216,176,181,183,187,191,196,200,204,205,229,232,192,181,211,231,200,179,155,150,141,127,173,225,217,218,218,217,215,175,180,182,185,189,195,199,201,202,225,213,187,192,203,230,200,190,164,138,139,126,182,224,216,218,217,215,215,175,180,181,184,190,195,199,202,202,218,199,204,199,194,230,199,180,166,141,138,130,189,224,217,218,217,216,215,175,180,181,185,191,196,200,203,206,211,205,226,197,200,221,189,166,152,141,137,132,199,224,218,218,217,218,216,174,180,182,185,190,196,200,203,206,207,212,216,189,185,208,180,155,142,138,132,132,207,222,218,219,218,217,217
19,170,171,173,175,177,178,179,181,181,181,181,182,182,182,181,181,181,181,180,179,179,179,178,176,175,175,174,172,171,173,174,177,179,180,180,182,183,184,184,183,184,184,183,182,182,182,182,181,180,180,180,179,177,177,176,175,173,175,177,179,181,181,183,185,186,186,185,185,185,186,186,185,185,183,184,184,182,181,181,181,179,179,177,177,174,176,178,180,182,183,185,186,187,187,187,187,187,187,187,187,187,185,185,185,183,183,182,182,181,181,179,178,175,178,179,181,182,185,186,187,188,189,189,189,189,189,189,187,188,187,187,186,185,185,184,184,182,181,180,179,177,179,181,183,184,186,188,189,190,191,192,192,192,191,189,189,190,189,188,187,187,186,186,185,184,183,182,181,179,181,184,185,186,187,189,191,192,192,193,193,193,191,192,186,189,191,189,189,188,187,187,186,186,185,184,183,180,181,185,186,187,189,191,192,194,194,194,193,194,193,202,174,146,187,191,190,191,190,189,188,187,185,185,185,181,183,185,188,189,192,193,194,194,196,193,172,156,175,201,182,112,154,191,193,192,192,191,190,189,188,186,185,182,184,187,189,192,193,194,195,195,193,183,154,121,119,132,140,123,117,137,147,167,174,179,180,184,178,175,183,183,186,188,191,193,193,195,196,193,184,182,183,168,124,84,101,120,116,116,105,115,130,137,129,143,133,138,174,185,187,189,192,193,194,193,189,177,180,191,192,162,108,73,69,88,99,105,96,101,116,123,120,124,126,126,159,186,187,190,193,194,193,190,183,178,179,185,185,165,122,75,64,65,69,75,75,80,88,96,97,97,102,107,124,186,187,191,193,193,191,190,187,183,176,184,190,186,149,90,63,64,58,82,117,134,138,137,138,145,149,158,173,187,189,192,194,193,191,190,189,187,184,189,193,187,155,95,64,63,62,127,198,199,197,196,197,197,196,195,195,188,190,191,194,192,193,191,192,192,188,187,187,180,160,109,66,62,64,82,183,203,200,198,197,198,197,195,196,186,190,198,198,196,194,194,195,194,187,183,190,187,171,122,70,61,65,59,128,204,201,199,199,199,197,197,196,191,210,212,202,196,196,196,194,188,185,188,193,187,158,116,77,61,67,58,109,204,202,201,201,200,199,198,197,211,217,208,198,193,193,190,187,183,181,177,176,165,137,109,85,69,66,63,152,206,203,202,201,202,200,199,198,218,214,201,194,191,189,186,184,178,175,167,162,154,137,109,89,79,68,58,161,208,205,203,202,201,201,200,199,215,210,200,189,183,183,180,180,178,172,164,156,150,150,112,87,84,71,74,185,208,206,205,204,202,201,201,200,212,207,196,183,172,172,171,171,175,166,155,139,134,142,98,81,87,73,100,206,206,205,205,205,203,202,202,201,207,201,186,170,158,154,157,157,162,150,132,113,109,98,65,77,89,77,139,208,207,206,205,205,204,204,202,201,198,187,170,156,144,130,132,137,140,123,103,96,89,67,72,86,93,144,201,209,207,206,207,206,205,205,203,202,192,169,162,151,128,109,100,107,110,98,91,87,75,71,88,118,166,206,209,209,207,207,207,206,206,205,204,202,160,154,160,145,116,88,80,80,86,84,113,158,153,156,178,199,210,209,208,208,208,207,207,206,205,204,203,201,111,145,151,129,98,66,47,51,101,151,193,211,211,210,211,210,210,209,209,209,209,208,207,205,204,203,202,201,61,97,96,70,47,28,16,26,168,211,210,211,211,211,211,210,210,210,210,209,209,209,207,206,205,204,202,202
24,156,159,160,163,166,168,168,169,170,171,172,173,173,174,174,174,174,173,173,173,172,172,173,171,171,170,168,168,159,161,163,166,168,171,171,171,173,174,174,174,175,176,175,175,177,177,175,175,175,174,174,173,173,172,171,170,160,162,165,167,170,172,173,174,175,176,176,177,178,177,176,178,178,178,179,179,176,176,176,176,175,173,171,171,161,164,166,168,170,172,174,176,177,179,179,180,180,179,180,180,181,179,180,180,178,178,178,178,177,176,175,174,162,164,167,170,171,173,177,178,179,181,180,181,180,181,182,183,183,182,183,181,181,182,181,180,180,179,178,176,165,166,170,173,174,179,176,179,181,181,181,182,183,184,184,185,185,186,186,184,181,183,182,182,182,181,180,178,166,169,174,171,192,203,148,180,183,184,183,185,187,187,185,186,186,184,186,187,184,185,185,185,183,182,182,180,169,171,175,175,190,213,145,164,189,186,185,184,189,186,186,188,188,213,203,168,186,187,186,187,185,185,185,182,170,173,176,180,178,212,176,146,189,189,185,195,184,191,223,185,165,232,218,153,148,194,186,187,187,187,186,185,170,173,177,181,179,194,222,169,165,190,198,231,191,192,234,204,148,205,227,165,115,185,191,188,189,187,187,187,172,176,179,181,184,182,222,201,147,176,214,237,218,182,225,220,159,186,226,168,106,173,197,191,191,191,191,172,174,177,181,184,187,184,198,218,196,177,202,237,227,181,204,222,160,161,209,154,98,167,199,194,191,199,182,135,176,179,182,186,187,189,187,215,224,208,205,232,232,191,171,219,171,129,178,140,91,145,208,193,179,187,156,120,178,182,184,186,188,192,190,196,221,212,227,232,224,185,142,196,180,109,136,148,90,98,182,172,181,175,120,153,180,182,185,188,189,192,194,191,215,230,218,206,207,178,137,155,167,116,133,162,102,138,157,183,184,127,139,199,181,184,186,189,191,192,194,193,208,233,199,176,175,195,178,128,181,139,115,169,185,211,195,179,148,125,192,198,182,186,188,191,192,194,196,197,203,230,206,185,179,192,185,160,179,150,154,228,225,205,183,150,117,159,205,195,183,187,189,191,193,197,199,200,200,234,232,205,180,183,205,217,198,200,230,227,212,198,173,135,126,193,201,199,184,187,190,193,194,197,199,201,197,225,237,219,192,181,210,228,236,237,233,223,209,187,161,120,157,210,201,201,185,189,192,194,197,198,200,202,197,218,237,227,211,194,198,228,236,237,230,223,208,178,137,121,195,206,203,201,187,191,192,193,197,200,202,204,202,212,237,234,222,211,203,222,235,237,227,221,201,171,122,154,212,204,204,202,188,191,192,196,199,201,203,205,206,206,232,237,227,215,203,212,227,229,220,205,184,159,127,200,210,206,206,205,189,192,195,198,199,201,203,206,207,205,216,237,227,208,192,203,212,209,196,177,152,116,167,216,209,208,208,208,189,193,196,199,201,203,204,208,210,212,216,237,222,191,175,180,186,192,176,151,110,123,212,209,209,209,209,209,189,192,194,199,200,201,203,165,149,153,162,198,182,178,182,188,202,190,168,137,92,183,228,208,209,209,209,208,189,193,196,199,199,202,208,138,114,116,96,91,90,97,95,99,96,87,87,83,73,122,168,212,211,209,208,207,189,194,198,200,201,203,215,153,117,120,100,87,79,67,58,50,42,41,38,38,43,23,92,220,209,211,211,209,191,194,198,200,202,203,215,164,117,116,99,85,79,71,63,54,48,45,44,42,42,34,175,223,210,212,212,210
18,95,99,101,106,111,118,123,130,137,145,152,157,162,165,168,170,173,178,179,182,185,188,191,193,195,196,196,199,94,99,103,107,113,119,122,129,138,146,153,159,164,166,168,171,175,179,180,184,186,188,190,192,195,196,198,200,96,99,104,107,112,120,123,130,139,147,153,160,165,167,169,171,177,180,181,185,189,191,192,194,195,197,201,202,97,100,105,108,113,120,124,131,141,148,155,161,167,169,170,173,175,180,185,188,190,193,196,196,195,198,201,203,97,100,104,109,115,121,125,132,141,151,158,163,166,169,173,172,184,180,167,183,194,189,186,201,202,200,202,204,97,100,104,109,117,122,125,133,141,152,161,160,169,177,163,176,224,169,134,125,197,201,155,143,202,204,204,205,98,101,105,107,115,122,127,137,144,154,159,156,228,188,132,184,212,173,167,171,224,200,153,112,128,207,204,205,98,102,106,108,117,123,127,137,140,157,151,196,255,188,145,203,206,179,191,199,199,167,159,149,95,167,216,206,100,103,106,109,117,125,131,131,161,214,153,163,236,187,177,172,184,171,178,181,159,149,169,161,128,122,218,208,101,104,106,111,118,124,131,123,233,234,180,134,194,215,180,142,143,162,138,146,119,170,177,167,156,106,169,225,101,104,107,111,119,125,122,147,255,232,207,171,146,226,183,144,122,197,137,91,109,205,183,185,174,137,107,198,101,104,107,111,119,127,115,181,219,222,226,195,122,172,197,151,101,181,176,119,67,167,189,203,189,151,117,116,102,105,107,114,120,129,116,195,179,172,211,168,117,115,169,133,94,123,144,96,82,168,211,222,193,156,133,107,103,104,106,114,119,128,115,218,212,166,182,117,104,84,116,110,77,81,79,124,221,225,203,203,183,156,137,121,102,105,107,112,121,124,119,233,217,183,187,109,98,70,103,107,65,42,137,240,233,212,204,180,160,143,134,112,102,105,108,112,122,121,141,249,212,176,163,119,93,58,99,97,58,118,243,247,235,213,188,165,136,127,119,120,102,104,107,112,120,121,136,255,235,204,188,156,119,104,105,100,132,230,252,247,233,198,177,151,126,119,105,161,103,105,108,115,120,122,132,255,247,223,205,175,153,159,148,157,222,249,249,241,214,183,162,142,121,111,108,204,102,105,108,115,121,125,131,255,255,231,205,180,167,173,170,199,241,242,239,222,194,171,150,132,120,101,138,228,102,106,108,114,121,127,127,255,255,231,207,191,186,181,188,218,236,241,224,198,184,160,140,130,122,96,182,228,103,106,108,115,121,129,125,238,255,236,217,205,199,196,205,220,224,227,200,177,167,148,131,123,112,116,220,222,103,106,109,117,124,130,125,207,255,240,237,221,203,196,201,206,205,201,183,164,152,136,123,121,100,169,229,218,104,106,110,119,124,129,130,172,255,247,252,233,210,192,178,179,183,178,174,152,136,127,120,108,112,217,222,221,103,106,111,119,122,128,139,142,239,248,239,231,210,185,169,163,169,167,165,145,127,123,122,93,160,228,219,223,103,105,110,118,123,127,143,139,195,245,213,210,200,180,164,160,164,169,167,149,131,125,113,96,205,223,221,226,103,106,110,118,124,126,139,148,158,230,213,192,179,161,160,168,150,157,163,147,128,122,99,122,224,218,222,225,102,106,111,118,122,128,141,154,151,206,197,174,178,166,180,185,151,147,161,148,127,121,91,144,231,218,222,225,100,105,111,117,120,129,140,152,152,187,208,185,194,180,176,179,156,137,153,147,127,116,88,133,230,220,224,225
10,31,32,34,37,38,51,70,83,107,104,96,119,121,128,133,137,141,145,147,150,153,154,156,157,157,158,160,160,31,32,34,37,38,52,72,82,123,112,63,107,130,129,135,139,143,147,150,154,155,157,158,160,160,160,162,162,31,32,35,37,40,54,73,88,110,116,77,57,120,136,136,141,145,149,152,156,158,159,161,163,163,163,164,163,32,33,35,38,41,58,77,93,102,109,87,55,59,140,139,143,148,151,153,158,160,162,164,164,165,166,166,166,32,33,36,38,41,60,79,95,104,111,90,70,43,94,150,144,149,152,157,160,163,165,166,167,167,167,169,169,32,33,36,37,43,62,81,97,107,111,110,86,67,44,128,152,151,156,160,164,165,168,170,170,169,169,171,171,32,33,36,38,43,64,82,98,106,112,125,108,76,49,64,156,154,159,164,165,167,170,170,171,171,171,172,173,32,34,36,35,49,69,87,98,122,83,106,133,99,83,43,129,164,160,165,168,169,170,171,172,173,174,175,175,32,35,31,79,100,52,72,108,134,67,54,139,125,97,57,83,168,160,165,168,171,171,174,174,175,176,177,176,32,35,29,89,90,35,26,60,96,75,29,94,147,95,69,44,148,166,166,169,171,174,176,176,177,178,178,177,32,35,34,43,58,38,30,24,34,69,53,36,127,106,67,41,97,176,165,172,173,176,177,178,178,178,179,179,32,34,38,36,54,57,33,28,28,68,78,51,50,104,81,79,42,152,173,172,174,177,178,179,179,179,179,181,32,33,37,38,55,78,81,57,33,61,92,72,39,39,65,84,40,93,181,172,177,177,179,180,181,182,183,182,32,33,36,38,57,78,99,113,90,48,96,93,66,30,33,55,48,44,161,178,178,179,179,181,182,183,183,184,31,32,34,38,59,78,92,122,132,59,39,123,97,63,29,26,40,31,137,184,176,180,180,182,183,182,183,184,30,32,33,38,59,85,102,126,136,98,8,99,134,88,58,34,36,25,121,184,174,178,178,181,182,183,183,184,30,30,32,39,56,107,125,117,151,121,36,43,153,107,85,55,33,21,104,187,176,178,180,181,181,183,184,185,28,29,31,39,57,96,138,111,140,129,67,75,153,120,102,66,34,20,91,185,176,180,182,183,183,184,184,185,30,29,28,37,60,78,121,116,113,125,88,112,141,104,99,61,39,27,83,186,177,179,182,182,183,183,184,184,67,64,64,66,73,76,95,117,113,138,103,97,141,95,93,63,42,31,72,180,178,181,184,186,189,189,191,193,60,62,66,68,67,62,70,120,123,133,141,93,125,106,95,70,45,35,50,100,103,107,110,114,118,122,126,131,64,64,64,68,70,73,66,124,150,122,151,100,61,107,94,73,49,40,39,74,81,81,81,79,80,79,78,79,64,65,66,69,71,73,68,93,155,137,127,117,60,84,91,70,51,41,36,74,90,85,87,88,88,89,90,90,63,65,66,69,70,72,73,76,138,146,138,147,136,97,83,65,50,40,37,67,88,84,84,86,86,87,88,89,64,65,67,68,70,71,73,69,105,142,144,139,147,123,78,57,50,44,39,65,87,85,84,85,86,86,87,88,62,64,65,67,69,70,72,73,75,126,146,136,133,130,85,55,56,50,40,65,86,84,84,86,85,85,86,88,62,62,64,67,70,70,72,75,71,91,138,133,121,112,95,75,71,57,37,56,85,84,84,88,84,85,86,84,61,62,63,65,67,69,71,72,74,70,113,124,111,98,98,96,87,68,43,44,80,84,85,85,85,86,81,112
13,165,169,174,177,179,181,183,185,187,190,190,190,191,193,193,193,193,193,192,192,191,189,187,186,185,185,183,182,166,170,175,178,181,182,184,188,189,192,192,192,193,194,194,194,193,195,195,194,194,192,190,189,188,188,186,183,166,171,177,180,182,183,185,189,193,193,195,197,196,197,199,201,203,196,196,202,200,192,193,192,191,189,188,187,167,173,178,181,183,186,187,191,194,194,196,199,198,199,194,166,163,204,193,165,170,199,194,194,193,192,190,188,168,173,179,183,184,186,189,192,194,195,198,201,199,202,185,143,101,148,169,128,79,145,207,194,194,193,192,190,169,175,180,184,185,187,191,193,195,198,198,201,199,208,210,165,138,78,133,144,88,77,205,198,196,195,194,191,170,175,182,185,186,189,193,195,197,199,200,201,202,204,219,175,138,71,104,144,99,59,191,203,197,196,195,193,172,177,182,185,187,190,195,197,199,201,203,203,204,204,203,174,125,76,71,114,83,49,184,205,198,197,197,196,172,177,182,187,189,191,196,198,200,202,203,204,200,212,197,173,120,88,59,101,78,49,187,206,199,200,199,196,171,179,184,189,189,193,196,199,202,204,206,192,138,128,131,158,154,110,69,119,97,62,201,204,202,201,198,196,173,180,184,187,189,194,197,199,203,203,217,181,121,96,81,153,192,133,76,107,102,41,169,214,202,202,200,199,173,179,185,188,192,195,198,200,203,199,185,176,137,130,80,85,174,121,67,82,77,51,92,213,204,203,202,201,174,180,187,190,192,196,200,199,204,188,110,115,165,137,112,32,45,38,60,80,73,92,65,155,218,202,202,202,173,180,186,192,193,195,198,204,223,167,119,87,148,149,117,75,7,30,46,77,112,115,89,84,214,205,204,202,173,180,187,192,194,197,197,218,193,158,137,118,101,149,122,103,32,49,101,112,130,120,100,59,190,212,204,203,175,182,187,192,194,196,201,221,165,150,149,122,90,124,127,91,39,50,144,163,151,104,91,60,193,212,205,205,176,182,188,194,195,196,202,218,174,118,118,113,90,69,94,60,39,69,157,160,153,111,68,75,213,209,207,205,176,183,189,194,197,197,203,205,183,147,105,82,52,19,64,81,60,115,181,156,144,109,51,108,225,207,208,205,177,184,189,195,196,198,202,206,203,173,131,96,75,63,78,90,101,187,184,148,127,102,44,150,225,209,209,206,177,185,190,196,197,201,203,203,199,184,153,136,110,107,124,149,178,196,169,139,113,90,47,187,219,210,210,208,177,184,191,195,196,201,202,204,195,175,155,129,105,104,133,198,189,175,152,128,103,71,63,214,216,212,211,209,177,185,191,195,196,200,203,207,180,161,153,130,112,113,122,176,180,166,139,111,94,54,90,229,213,214,211,209,177,184,191,196,199,202,205,212,187,165,154,134,127,120,120,170,177,163,130,96,83,35,145,231,214,214,211,209,177,185,192,196,197,201,203,210,208,166,154,146,131,114,110,150,163,146,109,80,56,54,213,219,216,213,211,210,178,186,193,195,197,200,204,208,214,193,159,145,126,114,105,129,146,129,94,77,33,135,232,215,216,213,212,210,178,185,193,197,197,201,204,208,210,215,181,145,121,107,109,118,137,126,94,71,45,200,223,218,216,215,212,210,177,184,191,195,197,199,204,207,209,210,194,160,139,131,134,129,133,129,89,56,91,225,216,216,216,213,211,209,175,182,189,193,195,198,202,205,209,201,199,170,157,155,146,136,133,118,85,48,135,230,215,215,213,212,210,208
4,202,204,205,207,208,209,208,208,208,208,210,209,209,212,214,210,209,213,213,210,209,210,209,209,208,208,207,206,205,207,207,208,210,211,210,210,211,211,213,213,211,203,196,208,216,196,189,215,216,210,213,213,210,208,209,209,208,210,209,210,213,214,213,212,215,214,208,211,223,208,171,157,181,189,158,154,205,219,214,215,214,212,212,212,210,210,210,212,214,214,216,217,214,209,194,175,170,219,224,171,105,130,186,129,92,211,218,214,216,215,216,214,212,212,213,215,215,217,217,218,224,232,229,185,122,117,224,170,116,50,121,143,60,173,230,216,217,217,217,217,215,216,217,217,217,212,214,178,157,202,203,212,142,65,169,185,111,53,72,136,70,156,234,218,219,219,219,217,218,219,219,219,218,224,226,173,92,87,140,220,178,76,88,198,164,76,46,167,96,149,237,221,222,221,221,219,220,219,219,219,224,201,190,188,118,57,59,205,222,113,53,202,199,108,46,158,128,163,236,223,223,223,223,223,219,220,222,220,220,209,138,168,175,106,24,153,225,122,58,157,200,122,49,101,107,176,237,224,226,225,226,224,220,223,224,223,224,214,130,119,181,127,63,94,125,101,76,87,131,98,55,77,72,93,235,226,229,227,225,225,223,224,224,223,227,221,198,167,141,102,68,87,88,94,105,106,97,81,72,117,122,81,171,242,225,227,227,226,224,225,226,226,229,232,205,172,134,102,87,99,99,100,126,117,119,81,120,176,165,142,108,224,233,230,230,229,225,226,227,228,231,234,195,159,134,110,113,113,119,142,142,163,183,189,140,173,182,156,83,151,247,228,231,229,226,228,229,228,232,229,186,142,124,103,113,132,146,175,195,206,226,226,210,186,161,117,77,82,231,233,231,232,228,229,231,229,231,236,205,165,134,118,131,141,150,221,209,210,222,215,204,183,149,105,76,67,213,239,231,232,229,232,233,233,230,240,223,179,141,122,126,141,173,228,208,217,217,216,198,176,149,107,72,91,237,234,233,233,230,232,234,234,232,233,231,195,161,128,127,151,175,228,218,229,231,216,197,177,143,104,59,154,250,233,237,236,231,232,234,233,234,232,237,214,175,136,140,167,165,224,229,238,238,226,207,169,126,97,64,217,247,239,238,236,231,233,234,235,235,232,236,228,185,149,154,182,170,218,234,243,245,245,208,156,117,77,105,250,240,241,238,237,232,234,235,236,237,232,227,236,202,153,162,180,183,220,233,249,251,240,190,145,117,58,169,255,239,241,240,240,234,235,237,236,238,229,217,225,212,165,164,177,184,227,233,246,243,208,164,133,104,68,226,247,241,241,241,240,234,236,238,237,240,231,209,225,221,187,166,170,183,219,232,226,215,180,147,122,74,115,255,241,242,241,241,241,233,235,238,239,240,241,211,217,222,204,182,176,186,206,223,211,185,161,128,99,68,209,254,242,245,244,242,243,232,233,234,235,237,243,227,201,210,206,191,183,181,181,190,183,158,130,99,61,148,255,241,243,246,244,242,242,233,234,235,236,236,241,236,202,208,201,190,185,172,162,171,169,143,106,72,73,237,245,243,243,244,243,241,240,235,235,237,237,237,241,237,205,207,191,181,178,163,146,153,154,120,85,58,126,255,240,244,244,244,243,243,242,235,237,239,239,239,240,239,210,202,166,157,168,155,151,150,136,102,84,53,173,255,242,247,244,243,244,244,242,236,237,240,240,240,240,240,212,212,177,174,188,176,166,150,130,107,88,56,203,250,244,245,245,244,245,244,242
16,114,115,119,122,130,138,142,148,152,154,155,157,160,164,167,170,172,173,174,176,177,178,179,181,181,181,183,184,114,116,119,123,131,138,144,149,153,155,155,157,161,165,166,169,171,174,175,176,178,178,180,181,182,182,183,184,114,116,120,123,132,139,145,150,153,154,156,159,162,165,167,170,172,174,176,177,178,179,181,182,183,183,184,185,115,118,120,123,133,140,145,150,154,156,158,160,163,165,169,171,172,175,175,177,179,181,182,183,183,184,184,185,115,118,120,124,134,142,147,152,155,157,159,160,166,169,170,173,177,176,177,179,181,182,184,184,184,185,185,185,115,118,121,126,135,143,150,151,154,157,158,157,158,154,145,140,149,178,179,179,182,184,184,184,186,187,187,187,117,119,122,128,137,143,146,153,161,157,147,136,128,118,113,115,109,125,176,184,182,185,186,187,187,188,188,189,117,120,121,129,136,142,156,169,163,145,123,120,118,110,104,111,118,102,117,179,187,184,188,189,189,189,190,190,117,121,124,126,136,163,175,154,134,118,104,114,115,107,103,111,114,107,107,119,189,186,189,190,189,190,191,191,118,121,115,141,165,159,131,120,116,106,104,117,115,105,107,113,112,106,121,96,143,197,188,190,190,192,192,192,117,116,148,174,144,120,106,109,109,96,112,122,113,106,113,114,106,114,119,109,100,184,191,190,193,194,194,194,113,180,190,141,116,106,98,98,120,143,118,106,89,107,120,111,92,117,117,109,93,136,202,191,194,194,194,195,134,210,156,128,108,95,112,142,194,194,130,88,91,93,113,99,85,125,115,105,102,90,164,200,193,194,195,196,121,169,136,112,111,151,202,199,203,184,145,102,96,93,85,70,93,131,111,114,114,107,103,172,200,194,196,197,117,123,126,118,187,204,201,192,202,179,146,115,101,95,63,51,100,129,110,121,123,122,110,114,199,197,198,198,121,121,123,141,206,188,202,197,200,167,135,116,112,105,98,58,86,123,110,119,126,117,110,93,170,205,197,198,120,124,119,156,213,189,207,198,185,147,113,116,119,113,108,91,70,108,116,151,139,111,102,88,136,209,197,200,121,123,117,179,215,187,206,195,167,130,119,124,126,122,110,101,73,82,156,182,178,163,135,86,137,211,198,201,122,124,118,186,214,183,186,178,132,110,113,130,126,115,111,104,97,85,175,196,196,196,193,155,162,206,200,202,121,123,120,166,219,183,142,134,104,102,109,113,110,104,101,99,111,97,170,202,197,200,203,192,151,168,207,202,121,122,125,142,192,141,114,108,108,115,119,112,99,96,100,94,99,89,145,210,192,197,197,178,144,127,207,202,121,122,128,136,154,120,106,120,116,105,100,97,91,88,90,88,99,114,119,171,187,187,186,166,125,150,209,203,122,123,128,139,147,147,112,110,97,112,114,120,115,97,88,105,114,120,112,100,119,159,168,151,162,203,206,205,122,123,129,139,152,143,102,103,94,100,158,134,113,106,94,84,84,76,75,75,54,121,209,200,210,208,206,206,121,123,129,139,151,126,104,99,102,89,72,91,74,64,57,53,53,55,54,57,45,99,216,204,205,206,206,207,121,123,129,142,143,113,103,97,94,104,67,47,66,64,58,52,52,53,54,55,46,168,214,203,206,206,208,209,121,123,129,143,130,106,101,95,92,95,90,45,58,66,58,53,52,53,54,48,70,204,205,206,208,208,209,209,120,123,130,140,113,102,99,94,90,93,98,51,48,61,57,54,52,52,55,41,112,220,203,207,208,209,209,210
7,111,121,130,137,140,142,147,154,158,162,164,167,170,172,174,176,177,178,180,180,180,181,181,181,181,182,182,180,111,121,132,138,142,143,149,155,159,162,165,167,172,174,175,177,178,179,181,182,182,182,182,183,183,183,182,181,111,122,133,140,144,145,151,156,160,163,166,169,173,175,176,177,179,180,182,184,184,184,184,183,183,185,183,182,112,122,132,141,145,147,152,157,161,166,167,171,173,175,177,180,181,181,183,184,184,185,186,186,186,186,184,184,112,123,133,140,145,147,152,157,161,166,169,172,174,177,178,181,181,183,183,185,187,186,186,187,187,186,185,186,113,124,133,142,145,147,152,157,162,167,170,173,174,176,180,182,183,183,184,186,187,187,187,187,187,187,187,186,113,124,133,142,144,148,153,158,164,167,170,174,175,178,180,183,185,185,185,187,187,188,189,188,187,187,188,187,114,124,135,143,144,149,155,159,163,167,170,173,175,177,181,183,185,187,188,190,192,191,190,189,189,189,188,188,115,125,135,145,147,146,150,168,177,173,176,182,183,186,184,178,175,182,179,180,178,179,187,192,190,190,191,189,115,127,137,143,144,159,187,201,196,182,176,191,200,201,197,181,180,196,183,172,165,149,172,173,188,192,192,190,117,126,133,152,182,202,203,197,194,176,159,165,176,182,181,163,163,181,175,164,155,147,160,143,188,198,193,191,112,133,172,199,205,197,197,203,193,168,157,173,189,193,199,179,169,178,169,180,177,162,154,163,170,174,190,194,159,196,208,200,203,200,200,202,188,157,142,147,177,184,183,179,181,175,178,187,187,178,172,176,161,176,163,180,209,207,206,205,210,202,202,207,201,142,113,119,117,108,119,135,137,143,146,146,149,152,150,152,147,157,150,183,211,213,210,206,207,204,205,215,186,128,105,110,110,87,70,78,153,173,175,178,174,172,169,169,169,171,183,194,213,210,206,203,204,204,206,203,160,111,108,115,114,107,94,73,175,198,195,197,198,198,199,198,198,199,196,194,205,205,207,205,207,207,209,205,154,102,90,99,118,133,117,85,139,199,190,193,195,195,194,195,194,195,194,194,205,211,210,208,211,211,217,203,144,100,95,64,70,115,117,97,141,199,193,195,196,197,196,195,195,196,195,194,207,204,202,197,190,188,195,159,128,105,101,96,78,102,125,142,183,192,192,193,193,195,194,193,193,193,192,191,191,191,184,175,163,170,166,134,119,112,108,95,95,106,119,126,124,123,123,124,126,122,120,121,119,117,116,115,172,172,164,158,152,150,141,114,109,103,111,104,102,103,102,100,98,99,96,97,98,98,99,100,99,97,94,92,131,143,142,133,120,112,108,108,109,106,109,110,109,110,111,110,107,112,113,108,108,106,104,105,105,104,101,101,110,112,106,101,103,107,109,109,107,108,108,107,107,108,107,107,105,111,111,109,111,106,103,102,102,103,102,103,90,84,91,106,109,110,111,109,109,109,109,109,109,107,108,108,107,106,104,106,108,105,103,103,102,101,103,98,101,91,94,107,110,111,110,110,111,110,111,112,110,109,110,110,109,108,106,107,107,106,106,103,102,104,97,116,117,101,95,103,110,110,110,110,110,110,111,111,109,109,109,109,109,108,108,106,105,104,105,104,104,100,107,194,104,97,98,98,108,110,110,109,109,111,111,111,110,110,109,109,109,108,107,107,107,105,104,105,102,98,185,195,107,101,96,92,107,110,110,110,110,109,109,109,109,108,108,108,108,107,107,107,106,105,105,103,114,167,180,161
12,168,172,176,179,182,186,188,191,194,197,199,202,207,209,207,207,210,212,213,214,213,215,212,213,213,216,217,216,170,174,179,182,185,188,190,193,196,198,203,206,208,212,214,216,211,212,207,204,219,216,216,217,216,218,218,218,172,178,180,183,186,189,193,195,198,200,207,208,208,191,163,192,221,220,189,139,157,229,221,223,225,218,221,217,174,179,181,185,188,192,194,197,201,204,204,213,234,197,164,130,225,233,197,161,95,211,194,183,199,226,221,223,175,180,184,188,188,193,195,199,202,206,203,227,255,221,199,126,185,245,188,176,119,111,164,158,116,191,232,221,177,180,186,188,191,194,198,202,205,208,206,233,255,235,197,135,180,253,190,178,113,82,185,161,114,96,233,223,179,183,187,190,193,197,200,204,205,209,209,232,255,253,208,158,178,255,201,173,93,105,202,155,101,66,209,232,180,185,189,192,195,199,202,206,210,211,211,216,203,246,224,169,161,249,191,149,71,121,205,150,96,62,193,239,183,187,190,192,196,200,204,206,209,210,228,190,125,162,219,144,140,218,159,136,77,109,189,147,102,60,189,242,183,187,191,195,198,202,205,208,208,237,235,164,132,100,174,129,119,197,151,138,81,104,176,146,106,56,188,245,186,188,192,196,198,203,207,204,231,235,216,179,154,99,122,130,91,183,150,115,77,104,181,152,107,58,208,238,186,190,193,196,199,203,207,210,231,186,211,200,154,111,76,125,112,158,181,131,87,138,233,183,115,73,235,232,186,191,195,198,201,205,207,218,235,182,188,192,147,118,60,123,137,152,210,153,93,161,241,193,90,63,226,237,187,193,196,198,203,207,207,223,227,193,157,178,155,116,53,76,120,83,150,146,62,129,179,106,84,81,125,245,189,194,196,199,204,209,207,228,227,192,148,183,149,100,72,27,40,13,116,187,167,193,176,138,121,105,88,226,190,195,197,201,205,209,207,231,232,193,154,164,141,94,81,33,42,88,207,228,222,205,186,148,118,95,102,233,192,196,199,203,207,209,210,233,230,192,151,136,140,106,96,44,71,170,229,226,219,194,172,137,110,83,119,248,193,196,201,205,207,211,213,234,230,202,176,139,117,128,98,70,136,225,231,240,214,182,159,131,105,77,138,254,193,197,199,204,208,212,212,234,228,210,190,173,139,119,123,149,192,244,240,246,203,169,149,119,98,79,195,250,194,197,201,207,210,212,212,232,234,218,196,186,178,152,156,176,191,244,243,233,185,155,139,115,86,114,245,240,194,197,201,205,208,213,214,225,231,223,203,194,192,173,155,165,187,249,238,210,176,146,128,108,75,161,253,238,193,196,201,203,207,213,216,221,223,220,210,200,193,179,160,152,195,249,229,192,167,137,113,101,75,202,250,240,194,196,200,204,209,214,216,218,213,217,212,202,196,180,158,143,193,229,212,170,148,125,104,89,94,237,243,241,194,196,201,205,210,213,216,217,219,219,216,204,195,179,161,137,185,209,186,151,132,110,99,75,154,251,239,243,194,197,201,207,211,213,215,219,220,224,211,197,189,169,149,130,178,184,154,138,115,97,90,91,225,245,241,243,194,198,202,205,210,214,216,219,217,222,198,176,168,147,123,131,168,166,138,128,105,98,81,166,250,240,241,242,194,198,202,205,209,214,216,216,215,227,190,169,157,127,124,133,163,159,136,120,105,89,103,235,243,241,242,242,194,198,203,208,211,214,220,210,223,232,192,182,160,137,141,146,169,153,134,107,95,76,169,247,241,243,244,244
1,131,139,125,111,112,104,116,73,101,125,137,145,179,151,137,167,167,172,173,176,178,181,182,184,185,187,189,189,133,141,123,114,110,109,115,73,107,127,141,148,180,163,126,167,142,164,177,177,180,182,183,187,187,188,189,190,136,143,120,117,108,115,109,74,113,125,170,156,156,179,134,177,140,139,181,177,181,182,185,187,188,189,190,191,138,143,119,120,108,121,102,77,116,127,180,163,146,182,138,178,163,128,178,180,182,184,186,187,189,190,191,192,141,141,118,122,107,125,95,82,121,129,181,169,146,195,158,166,174,127,171,184,182,185,187,189,190,192,193,193,145,140,120,125,108,129,87,88,122,129,180,174,147,202,165,162,191,138,159,187,184,187,189,190,192,194,195,195,147,138,123,128,110,132,82,91,147,148,174,192,151,194,167,165,202,152,145,189,186,188,190,193,195,196,196,196,151,138,126,127,113,133,79,96,178,153,168,194,149,185,172,157,197,162,138,188,188,189,192,194,195,197,197,198,152,136,129,125,117,131,75,104,180,149,164,193,146,183,184,152,194,170,136,186,190,191,194,196,197,198,199,200,152,134,132,123,123,128,74,109,184,152,159,200,146,178,194,149,198,178,137,183,191,193,195,197,198,200,200,200,153,133,136,121,129,120,76,111,189,169,156,203,155,160,195,144,188,181,133,177,196,194,196,198,200,201,201,201,150,133,139,120,135,112,79,113,185,172,143,202,159,136,188,137,173,189,134,170,198,193,197,200,201,202,202,202,149,134,140,117,141,104,83,116,175,178,138,188,168,161,177,171,184,169,130,156,200,195,198,200,202,203,203,203,148,135,140,117,144,95,88,117,173,192,138,172,187,168,155,182,182,140,120,143,201,197,199,201,202,203,204,205,146,137,140,116,147,88,93,118,174,183,156,180,180,179,172,202,193,146,115,127,195,198,200,202,203,204,206,206,145,140,140,117,147,81,98,120,175,187,186,172,171,176,182,193,188,168,129,111,186,201,200,202,203,204,205,206,144,142,138,121,147,76,103,121,187,201,179,162,160,165,170,167,185,188,156,112,171,205,200,203,203,205,206,207,142,147,136,127,144,73,106,123,194,196,169,154,160,168,181,192,196,202,182,131,149,206,200,203,204,206,206,207,141,149,133,133,139,72,110,123,184,196,163,150,167,168,187,212,200,202,191,150,135,203,201,203,204,206,206,206,143,151,130,138,130,72,114,123,168,200,171,156,160,174,190,211,208,194,181,146,133,202,202,204,205,206,207,208,144,152,126,144,124,73,116,126,150,197,177,161,158,179,191,213,209,192,173,135,139,205,201,203,206,207,207,208,144,154,125,149,116,75,116,129,139,187,189,169,157,174,190,209,207,188,169,132,141,206,201,203,205,207,207,208,147,156,123,156,108,78,118,129,135,174,195,176,166,165,186,206,199,181,167,129,141,206,202,205,206,207,207,208,150,158,123,163,101,81,119,128,136,154,189,183,177,166,179,200,192,175,161,126,146,206,201,205,206,207,207,208,154,158,125,166,93,84,118,126,136,143,170,187,181,175,171,184,187,169,157,123,159,205,200,203,204,204,206,206,157,155,126,168,86,87,115,125,134,143,153,184,184,177,164,167,177,159,150,126,179,202,199,201,202,203,205,205,160,151,130,167,78,90,115,123,132,144,145,177,184,171,160,159,160,155,148,126,188,197,197,201,202,203,205,205,162,148,133,162,77,93,112,117,125,138,140,170,180,163,161,166,161,155,143,123,188,195,195,198,200,201,202,202
11,141,144,149,152,156,158,161,163,165,166,166,167,166,167,166,167,167,166,165,164,164,160,157,158,156,154,150,148,143,149,151,155,157,160,164,165,168,168,169,168,167,169,171,168,167,167,166,165,165,163,159,159,157,156,153,151,147,151,155,158,162,164,166,168,171,171,172,171,173,161,149,174,168,169,168,166,165,164,163,161,160,158,155,156,151,155,158,162,165,168,171,172,174,174,174,173,180,184,93,174,173,171,171,170,167,167,166,163,161,158,164,135,154,158,162,164,168,173,174,175,177,177,178,173,188,200,82,166,179,174,174,174,172,171,167,166,163,163,164,74,155,161,165,169,172,175,176,177,180,180,183,174,202,197,68,167,182,178,175,174,175,173,171,169,166,171,146,36,159,164,166,172,176,177,180,181,185,187,182,179,231,189,71,180,183,180,179,178,176,176,174,174,171,178,127,21,163,167,172,175,177,180,184,184,184,173,202,167,226,174,84,191,184,184,183,183,180,180,178,176,174,179,143,48,166,171,175,178,181,186,180,220,196,104,174,143,91,149,90,166,192,185,186,186,184,183,180,181,178,177,168,70,168,173,177,181,186,180,215,242,220,163,85,124,72,106,84,128,202,187,189,188,187,186,184,184,182,179,181,96,171,175,180,185,183,200,255,186,196,194,101,84,79,124,91,139,205,191,192,192,190,189,188,185,184,181,185,151,174,178,182,185,189,247,227,140,138,190,89,76,70,121,90,147,207,194,196,195,193,193,190,188,187,185,184,177,175,180,186,182,220,255,181,130,160,158,53,86,69,109,79,163,207,197,200,199,196,195,194,191,190,189,187,183,177,182,189,183,235,242,163,98,116,124,56,82,68,104,74,189,206,200,201,200,198,196,193,191,191,191,189,188,179,184,189,184,242,245,182,122,63,64,97,58,83,101,80,208,204,203,202,200,200,199,197,196,194,192,192,189,181,187,191,188,255,243,172,107,63,45,105,55,120,109,47,164,220,205,207,208,202,194,189,186,195,201,194,192,183,189,193,195,255,239,172,118,73,49,62,44,110,91,36,67,189,206,191,167,150,139,135,120,108,156,201,192,184,191,192,204,255,235,177,130,87,62,66,73,95,97,92,91,98,121,128,145,154,135,104,93,71,94,205,195,186,193,193,207,255,230,178,134,95,70,73,125,159,159,144,129,108,111,135,134,108,85,108,164,181,187,200,197,188,195,197,206,255,234,189,145,106,78,94,156,153,137,131,123,105,91,85,90,134,171,208,216,211,207,201,198,191,197,197,214,255,237,198,147,121,90,111,147,146,131,111,106,76,64,127,202,220,217,210,207,207,206,202,199,192,202,193,231,255,238,194,143,120,97,108,124,131,120,94,69,97,180,224,219,213,210,211,210,209,207,204,202,194,199,199,255,255,217,173,131,106,97,110,105,114,105,65,133,223,227,216,217,216,214,214,212,210,210,207,204,197,195,245,255,239,204,159,123,102,102,106,92,85,77,155,234,225,220,219,217,217,216,214,212,211,211,209,207,193,206,255,253,222,194,154,130,112,99,93,69,113,204,235,224,223,223,220,219,218,217,216,214,212,211,209,208,190,223,255,244,190,152,144,128,102,90,63,97,222,235,224,226,225,225,223,221,220,218,216,216,215,212,211,207,192,242,255,233,165,126,119,110,89,71,73,203,235,226,229,228,227,225,225,221,221,220,217,218,216,212,211,209,206,255,255,217,136,118,111,98,77,58,164,239,228,233,232,229,229,226,225,223,222,221,220,219,218,215,213,212
17,143,144,145,148,151,153,154,156,157,157,158,160,161,162,164,165,165,166,166,166,168,167,167,167,166,167,168,167,144,145,147,150,152,153,154,157,158,158,160,161,162,164,164,166,166,167,167,167,168,168,169,169,169,170,170,169,145,146,149,152,154,155,156,158,159,160,162,162,163,165,166,166,167,168,168,168,170,169,170,170,170,171,172,171,146,148,151,152,155,156,158,158,160,161,163,163,165,166,167,167,169,170,170,171,172,170,171,172,171,172,172,172,146,149,151,153,155,157,158,159,161,162,164,165,166,167,168,170,171,171,168,170,168,169,172,173,172,173,173,173,147,149,151,153,156,158,159,161,162,162,165,166,167,167,170,170,171,172,155,132,134,128,173,174,174,174,174,174,148,150,152,154,156,159,160,162,163,165,166,167,167,169,171,171,172,177,170,121,94,107,174,174,175,175,175,175,149,151,153,156,158,159,161,163,165,167,168,169,170,171,171,172,173,178,180,133,88,114,177,176,176,175,175,175,150,151,153,157,158,160,162,164,166,167,168,170,170,169,172,173,175,176,188,148,98,135,178,177,177,176,176,177,150,152,155,158,159,161,164,164,165,167,168,168,171,156,143,172,175,178,188,150,108,161,178,179,178,177,176,177,150,153,156,158,160,162,164,164,166,168,168,169,176,162,130,135,172,184,184,147,111,169,179,180,179,178,178,177,151,153,156,158,161,163,165,165,167,171,161,144,172,178,165,149,133,154,172,147,110,169,180,180,179,179,178,178,151,154,157,159,161,164,166,166,171,186,159,122,154,173,186,175,138,100,140,137,110,169,181,181,179,179,179,179,152,155,158,160,163,165,167,166,178,163,166,144,140,131,165,189,159,105,109,120,105,166,181,182,180,180,181,180,153,156,159,161,163,165,167,166,184,158,134,130,103,85,115,198,177,125,93,101,96,165,182,182,181,181,181,180,154,156,158,161,163,165,168,169,183,146,121,130,108,103,112,202,189,145,94,93,91,162,182,182,182,182,181,181,154,156,159,162,164,166,168,174,186,164,145,137,121,133,130,196,190,153,105,90,91,157,183,183,183,183,182,182,154,157,160,163,164,166,168,183,177,149,140,134,131,150,171,193,178,158,113,85,89,158,183,183,184,184,183,183,155,157,160,162,166,168,168,190,169,146,135,135,145,163,207,193,164,148,111,82,83,160,184,185,184,184,184,184,157,158,159,163,166,168,167,196,171,151,138,137,148,196,205,190,159,139,106,81,83,169,185,186,184,184,184,184,156,158,160,164,165,168,171,200,176,159,141,141,168,210,196,183,151,132,100,82,97,183,185,185,184,184,184,184,155,158,162,164,166,168,176,200,178,166,153,144,184,207,191,179,145,122,96,81,132,185,185,185,184,184,183,183,156,158,162,165,168,170,181,205,182,175,166,151,189,197,185,174,145,112,92,86,169,185,185,186,186,186,185,185,156,159,163,166,168,169,179,209,188,180,172,161,177,190,181,168,140,107,87,117,186,186,185,186,187,187,185,185,157,159,163,167,169,170,175,207,193,177,167,166,167,184,176,173,137,102,85,147,186,185,185,186,186,185,185,186,157,160,163,167,169,171,172,204,189,177,163,164,169,175,174,173,137,102,86,165,187,187,187,187,187,187,187,187,157,160,163,165,168,170,174,203,187,176,163,163,170,172,173,165,129,102,102,183,188,188,188,188,188,187,187,187,157,158,161,165,168,170,177,204,196,179,168,170,174,166,170,154,118,96,139,188,188,188,187,187,188,188,188,187
0,195,195,195,194,196,196,195,197,196,197,197,199,197,197,196,195,196,197,197,198,197,196,196,198,196,195,195,195,195,195,195,195,197,199,199,200,199,198,195,197,197,197,198,197,197,196,198,199,197,198,198,198,198,196,196,196,197,196,197,198,198,200,200,198,199,199,198,200,200,200,200,200,200,199,199,199,200,199,199,198,199,196,195,195,199,198,199,199,200,201,199,198,193,175,187,199,192,196,200,197,195,200,203,201,203,201,199,199,200,198,196,196,199,200,200,200,201,201,199,204,200,140,98,149,165,147,159,183,173,149,176,192,187,197,201,200,199,200,199,198,199,201,201,202,201,201,202,199,198,139,62,94,170,126,80,145,168,104,78,138,126,113,146,194,201,198,200,199,200,201,201,201,200,198,195,169,182,152,96,74,152,112,65,117,143,90,55,120,118,74,66,127,197,202,200,200,202,202,202,202,201,195,186,157,144,171,131,61,112,112,53,107,131,79,54,130,118,70,66,111,135,207,201,201,201,203,203,203,203,197,186,161,124,130,125,55,98,108,41,96,146,90,51,136,136,78,77,136,97,154,208,202,202,204,203,204,204,196,184,161,124,98,88,59,99,93,30,102,143,80,61,152,149,124,109,116,103,82,200,204,203,204,204,205,203,195,187,177,151,106,81,73,86,72,44,89,118,91,143,163,150,135,111,88,76,71,194,204,204,205,206,206,204,198,194,184,171,142,94,73,67,78,93,94,125,164,176,167,154,128,107,90,68,85,203,205,205,206,207,207,206,199,199,189,181,168,131,80,75,84,95,123,169,181,182,173,156,123,98,85,63,110,214,205,206,206,207,207,206,195,205,197,191,184,160,115,106,99,105,151,179,185,191,179,151,119,94,81,57,155,213,205,206,206,207,207,207,185,203,205,198,193,175,148,137,124,114,153,169,186,196,180,145,113,92,74,79,196,209,205,207,207,207,207,209,187,190,208,209,202,184,167,157,144,132,144,173,192,189,173,135,103,94,67,134,212,207,207,206,208,208,208,210,196,175,205,213,207,193,179,167,157,146,140,160,185,183,162,126,96,90,64,182,212,207,208,207,208,209,207,207,210,165,191,210,211,200,185,176,167,151,140,146,167,167,142,112,92,75,86,207,209,208,207,208,208,210,209,208,214,179,171,206,212,202,180,175,164,150,142,141,154,153,120,99,85,58,141,216,207,208,209,209,209,209,211,212,209,205,161,203,210,191,171,175,160,152,143,128,133,138,110,92,69,89,202,211,208,209,210,210,210,210,211,211,209,210,176,205,209,194,180,187,171,156,140,118,119,123,107,82,66,174,214,211,211,211,211,210,210,210,211,211,210,211,182,206,213,203,187,197,177,154,139,117,109,114,104,67,125,214,210,212,214,212,211,210,210,210,211,211,211,212,175,199,213,209,192,194,174,152,136,119,107,109,100,60,172,214,210,211,214,212,211,210,210,210,210,210,212,214,174,196,214,210,194,185,170,150,134,122,107,101,92,68,194,211,211,211,213,212,211,209,210,210,210,211,211,209,187,201,211,208,195,182,168,152,134,122,108,94,84,79,211,212,211,211,211,211,212,208,210,210,210,212,212,202,194,208,200,202,191,179,166,152,134,120,107,89,81,94,214,210,211,211,211,211,211,209,210,211,212,211,211,198,192,201,199,201,183,170,162,150,133,116,100,86,73,117,211,207,212,211,211,211,211,209,210,211,211,210,212,196,187,198,201,200,182,163,154,147,131,111,90,81,65,148,208,208,212,212,212,211,212
8,133,135,137,137,139,139,141,142,141,141,140,140,139,139,139,139,138,138,138,135,134,134,133,132,132,131,128,126,134,137,139,140,141,142,142,142,142,142,142,142,142,141,141,141,140,140,139,137,136,135,134,134,134,133,130,129,137,139,140,141,143,144,145,144,144,145,145,144,142,144,142,142,142,141,140,140,138,138,137,137,135,133,132,131,139,141,142,145,146,145,145,146,146,146,146,146,143,138,145,143,142,142,143,142,140,139,139,138,138,136,133,132,140,143,144,145,147,147,147,147,149,148,143,156,158,93,134,148,145,143,143,143,141,140,141,139,138,137,135,134,143,146,147,146,147,149,149,149,150,149,144,171,145,64,123,152,145,146,145,145,142,142,141,140,139,137,138,137,145,147,148,148,149,150,151,152,151,151,148,175,118,59,135,152,147,148,147,145,144,143,141,141,141,139,139,137,146,148,150,151,151,153,153,153,153,152,154,176,105,62,148,153,150,149,148,146,145,145,144,143,142,142,140,139,149,149,151,152,152,153,154,154,155,152,162,179,103,75,151,152,151,148,149,148,147,146,146,144,143,142,140,140,150,151,152,154,155,155,156,156,158,152,169,164,83,81,155,152,153,152,150,148,148,147,146,145,144,143,142,141,151,153,154,156,157,157,157,158,159,153,175,162,83,92,160,153,152,149,155,150,148,149,148,147,146,145,143,143,153,156,156,158,160,160,160,161,162,155,184,161,110,109,155,154,167,105,115,162,154,153,148,147,148,147,145,143,154,156,157,159,162,162,163,162,163,159,185,153,124,119,163,174,169,111,67,100,103,139,156,154,148,149,147,145,155,158,160,161,161,162,163,164,164,163,181,160,140,130,179,176,170,145,101,47,48,63,140,129,155,149,149,148,158,160,162,163,163,164,165,167,163,175,192,154,140,147,171,153,162,164,123,112,78,39,74,46,92,158,147,148,160,161,163,166,166,167,167,168,164,186,175,137,131,125,168,140,92,153,143,140,99,42,44,46,26,137,153,148,161,163,165,167,167,167,169,164,173,183,139,106,118,107,154,122,61,69,147,130,95,40,15,38,22,104,163,148,164,166,167,169,169,168,169,167,194,184,149,111,90,79,147,144,104,22,162,144,102,48,12,30,31,135,158,150,163,167,168,169,170,172,167,183,203,175,140,109,92,65,139,149,85,29,141,159,103,51,23,15,86,164,153,154,164,167,170,170,172,172,170,199,198,167,130,104,95,53,61,113,88,77,143,165,105,53,16,70,161,158,156,155,166,167,169,171,174,171,178,204,182,148,136,118,95,64,138,170,160,155,145,148,101,42,60,167,161,160,159,156,167,168,171,173,173,175,191,200,171,158,140,102,85,149,193,179,151,160,131,113,92,47,67,176,160,163,161,158,168,169,173,172,180,152,190,200,169,166,129,93,143,188,177,160,129,145,119,84,87,42,97,174,161,161,162,160,169,170,174,175,181,69,101,204,174,166,114,138,182,187,166,149,125,130,118,64,63,41,162,168,163,163,162,161,170,172,172,186,107,45,38,95,166,154,120,145,171,175,160,146,113,115,106,60,24,101,180,165,167,165,163,161,170,172,182,149,50,45,47,34,58,104,108,136,153,161,150,133,106,111,78,33,36,169,170,168,168,166,165,162,171,177,168,66,46,43,39,48,17,3,38,55,84,116,124,112,104,85,44,14,133,180,169,170,169,168,166,163,171,175,94,42,46,40,37,37,40,0,8,12,9,16,36,50,51,35,10,97,183,170,172,171,169,168,166,163
2,189,189,190,189,189,190,190,189,189,188,188,189,189,188,186,187,186,185,184,184,184,184,186,132,99,102,99,102,191,190,191,191,191,192,192,191,190,191,191,192,189,189,190,186,190,189,190,187,188,185,190,155,101,106,96,103,193,193,194,193,194,194,193,194,194,194,194,193,193,196,188,143,147,179,169,191,190,188,191,170,104,94,84,102,195,195,196,197,196,197,197,196,196,193,196,198,198,174,140,120,104,132,117,167,192,189,190,182,116,82,88,108,198,198,198,199,198,199,200,199,197,202,209,201,145,117,107,104,102,111,106,103,171,196,190,196,135,70,79,100,200,200,201,201,200,200,200,200,201,211,202,158,109,101,99,96,93,98,106,97,167,199,191,198,156,138,116,88,202,202,203,204,203,203,202,198,207,217,155,110,97,92,99,95,89,94,94,113,188,198,195,197,179,145,186,171,204,204,204,204,204,204,204,198,217,203,133,104,96,90,93,97,103,126,156,188,200,198,197,204,161,145,212,190,206,206,206,205,205,206,204,205,221,176,124,102,108,100,101,106,166,206,206,203,199,200,198,205,168,170,206,148,207,207,207,207,207,207,205,218,207,159,114,98,106,99,120,182,208,203,202,203,203,202,200,201,193,180,147,145,208,208,208,208,210,207,209,225,200,155,123,109,100,100,167,218,204,206,205,205,205,203,202,201,202,195,151,196,210,209,209,210,211,207,220,229,189,147,122,118,105,101,185,213,207,206,207,206,205,204,204,204,202,198,193,183,211,211,210,211,211,207,231,220,179,136,117,115,109,121,209,210,209,208,207,207,206,205,206,205,205,200,199,204,211,211,211,213,208,211,235,208,173,136,114,110,107,144,218,210,211,210,209,208,208,207,208,207,206,205,198,183,213,212,213,213,204,225,229,198,164,131,115,111,106,148,220,209,211,210,210,210,210,207,208,208,207,206,209,176,215,215,215,211,211,234,218,188,155,125,114,114,101,170,222,209,211,211,211,211,211,211,211,210,211,210,207,206,215,214,216,205,221,235,211,180,147,124,110,106,99,147,221,213,213,212,214,215,211,199,189,182,178,196,211,206,215,216,217,205,232,229,204,172,141,123,104,102,112,107,153,224,220,217,206,189,176,179,176,168,152,127,194,211,215,218,208,217,236,223,195,163,136,121,96,103,114,119,112,167,193,177,169,178,179,177,160,145,153,153,197,212,218,215,206,233,232,217,184,155,131,115,94,116,122,130,133,127,136,157,179,182,166,135,136,183,212,216,213,211,220,210,224,237,227,208,178,151,128,113,101,127,134,140,139,140,146,161,160,143,134,142,202,221,213,212,212,212,211,219,234,227,220,202,171,141,124,114,112,132,141,143,142,135,136,132,134,167,201,217,217,214,215,214,213,212,209,226,229,223,216,192,159,132,123,114,124,140,145,142,133,124,116,153,208,223,220,216,215,216,215,215,215,214,219,224,223,211,194,168,142,127,122,116,130,138,141,131,119,139,184,223,224,219,218,218,218,218,216,215,214,215,218,218,209,192,174,156,135,125,120,123,128,135,132,113,158,220,226,221,221,221,219,219,219,217,217,216,215,215,217,209,191,172,165,144,129,124,125,126,124,120,123,172,226,224,222,222,222,222,221,221,220,219,219,218,217,216,211,202,176,150,142,125,123,127,126,122,120,156,206,229,222,223,223,223,223,222,222,222,221,221,220,218,218,212,206,192,163,135,120,118,124,127,119,152,197,228,228,222,224,224,223,223,223,222,222,222,222,222,221,220,220,195
6,170,171,171,170,170,170,171,171,171,170,169,169,168,167,167,168,166,166,165,164,162,162,162,161,159,160,157,156,172,173,172,172,172,173,172,172,172,171,170,170,169,169,169,168,167,167,166,165,164,163,163,162,161,160,159,158,174,174,175,174,174,174,174,174,173,172,172,172,172,170,170,169,168,168,167,166,165,164,164,163,162,161,160,158,175,176,177,176,175,175,175,175,174,175,174,173,172,171,171,170,170,169,168,167,167,166,165,163,161,161,160,159,176,177,178,177,177,177,176,176,175,175,175,175,175,173,173,173,172,170,169,169,167,167,166,164,163,162,162,161,177,179,180,179,180,180,179,178,177,177,175,176,176,173,174,174,173,171,170,170,169,168,167,166,164,163,162,162,178,180,181,182,182,181,180,180,180,177,176,176,176,175,175,175,174,173,172,171,171,169,169,169,167,164,162,162,180,182,182,182,182,182,181,181,181,183,183,182,178,179,179,180,178,175,173,171,168,165,157,153,163,164,165,163,181,183,183,183,183,182,183,182,177,167,162,167,167,157,148,144,137,147,148,148,139,141,121,134,177,150,152,165,183,184,185,186,185,185,176,161,153,136,124,118,120,144,135,123,113,123,144,147,136,134,127,128,157,119,149,169,184,186,190,187,176,165,141,137,145,142,142,121,71,105,128,126,95,113,115,112,103,86,88,96,112,140,168,166,187,185,174,161,149,143,137,132,137,145,138,93,59,46,61,65,66,82,91,106,110,129,143,153,166,172,169,167,172,161,150,144,138,134,131,123,128,135,125,88,54,45,50,79,112,147,172,176,180,183,181,178,175,171,170,169,163,158,150,141,135,135,134,129,129,132,135,117,68,34,110,188,185,188,182,180,178,177,177,175,174,173,171,169,172,159,150,142,138,136,136,130,130,132,135,115,68,43,64,186,183,182,181,180,179,179,179,176,175,174,173,171,160,152,150,143,137,136,135,136,132,133,131,119,70,51,35,144,194,183,184,183,181,180,179,178,175,175,174,172,152,150,148,140,139,137,137,137,139,142,140,129,81,50,37,94,196,183,184,183,182,181,180,179,177,175,174,173,162,141,138,142,148,143,138,131,126,128,130,111,76,51,44,49,185,188,184,184,183,182,181,179,178,176,175,174,155,135,136,146,149,149,135,130,124,121,114,93,74,58,39,82,191,187,186,185,185,183,182,181,180,177,176,176,132,124,138,144,141,139,131,122,114,121,111,80,75,67,39,165,196,186,186,186,186,186,183,181,180,180,177,175,92,108,123,137,130,121,112,103,94,93,80,71,70,74,42,170,193,187,187,186,185,184,183,182,180,178,177,175,35,60,86,114,111,98,89,83,75,55,40,56,78,78,33,154,196,186,187,186,185,184,182,181,179,177,176,174,31,12,17,45,68,71,57,52,53,45,44,68,74,61,53,175,192,188,188,186,186,184,182,182,180,178,176,175,35,22,0,4,5,25,78,107,86,57,55,77,90,142,176,191,188,189,187,187,186,185,183,182,182,180,177,176,30,29,1,7,0,113,209,202,192,159,140,153,185,199,195,191,190,189,187,187,186,186,184,183,182,179,177,175,28,30,5,0,26,197,198,194,197,202,203,200,196,191,192,191,190,189,188,187,186,184,184,183,184,187,189,186,34,26,2,0,131,208,193,196,197,195,193,193,194,194,193,192,190,189,189,192,193,193,189,184,177,146,118,120,35,12,0,60,211,194,197,195,196,196,195,195,193,193,193,191,191,191,189,165,132,118,101,81,60,33,17,16
12,204,205,206,208,209,209,210,211,211,211,211,212,212,213,213,212,212,213,214,213,212,213,213,213,212,211,211,211,206,207,208,208,209,210,211,213,212,213,213,213,213,213,213,216,214,215,216,214,214,215,214,213,213,213,212,211,208,208,209,210,211,211,212,214,213,213,212,215,215,218,217,208,216,215,215,217,216,215,216,215,214,214,214,214,209,210,211,212,212,213,213,215,213,217,225,214,212,236,228,190,178,223,220,201,213,216,215,216,216,215,216,215,209,210,211,213,214,215,215,214,217,250,246,211,192,244,232,185,132,210,227,181,170,220,217,217,217,217,217,216,210,211,213,215,215,216,216,212,221,255,248,208,188,246,230,193,132,213,213,177,133,204,224,216,218,217,217,217,210,212,214,216,215,217,216,213,228,252,245,211,183,249,226,199,158,225,203,160,124,181,229,217,219,219,219,220,212,214,216,215,217,214,224,244,212,211,237,238,171,234,243,192,172,227,211,160,116,170,229,219,220,220,220,220,213,215,216,217,218,215,249,248,208,170,204,211,153,212,235,156,173,238,190,145,113,165,228,220,222,221,221,220,215,216,217,219,216,228,255,248,226,169,179,176,120,143,162,132,180,202,143,122,115,159,231,221,223,223,221,221,216,217,218,219,216,240,254,250,229,190,156,164,122,109,111,198,223,205,165,161,150,165,234,222,224,224,222,222,217,218,220,220,217,246,233,242,234,205,165,123,146,129,195,253,248,230,200,195,175,172,233,223,225,223,224,223,217,219,220,220,220,254,249,222,227,207,171,131,127,177,255,252,245,229,204,185,162,153,230,226,226,224,224,224,219,220,222,218,231,255,252,215,213,210,181,150,118,236,255,252,245,229,207,178,150,153,232,227,227,226,225,226,219,222,224,219,232,255,253,238,203,197,214,185,151,255,254,253,245,228,196,173,145,153,234,226,228,227,226,227,220,222,223,223,226,255,255,237,211,187,192,204,224,255,253,253,244,222,195,171,148,141,230,230,229,229,228,227,221,222,224,222,229,255,255,244,230,224,197,232,249,255,249,249,245,217,199,166,143,139,230,232,229,229,229,228,222,223,225,222,232,255,255,252,241,238,221,231,240,255,246,243,237,221,194,162,133,159,239,229,232,230,230,230,222,223,226,225,230,255,255,255,247,238,227,230,231,252,243,233,227,220,181,153,124,202,239,230,232,231,231,231,223,224,226,227,227,254,255,255,249,233,221,230,230,245,237,225,224,209,169,134,145,237,233,232,232,232,232,232,223,224,226,229,225,244,255,253,246,228,215,223,228,238,234,223,214,189,154,119,201,241,233,233,233,232,232,232,227,229,231,234,230,245,255,240,234,225,220,228,232,246,236,219,202,174,126,153,240,233,236,234,233,233,234,233,218,207,197,190,176,171,170,152,147,146,141,145,137,138,134,129,130,126,107,204,251,237,236,236,235,235,236,235,167,158,153,150,135,124,122,117,109,101,96,94,81,79,81,77,75,76,80,100,148,225,238,235,234,234,234,234,164,152,156,148,138,130,127,121,113,106,103,97,88,86,84,83,79,76,75,71,58,210,241,233,235,234,233,233,186,149,155,148,138,131,123,119,111,104,100,94,86,85,85,83,77,75,77,62,136,248,233,235,234,234,234,233,202,151,154,145,137,130,121,116,109,103,99,93,86,86,85,82,77,71,74,61,206,247,235,237,236,235,236,236,211,153,151,146,140,130,124,116,110,101,96,93,87,86,84,81,77,73,73,76,227,241,239,239,237,237,237,237
2,221,223,225,226,226,226,226,225,225,225,223,223,223,222,222,221,219,218,218,219,218,217,214,216,199,99,89,102,223,225,226,227,227,226,227,227,226,227,225,225,225,223,222,222,222,221,219,218,219,217,214,221,182,87,94,111,225,226,227,229,227,227,228,229,228,227,227,228,224,223,224,221,214,220,222,222,219,218,218,220,198,111,102,108,227,228,229,229,230,230,229,229,229,229,228,226,227,231,231,200,139,159,193,156,219,223,219,217,222,137,106,110,227,229,231,231,232,231,232,231,230,229,231,241,236,217,176,143,113,104,134,104,176,226,220,218,225,152,95,94,228,230,233,233,232,233,233,234,231,238,248,247,192,136,118,107,98,100,105,107,96,187,230,218,227,186,88,72,229,231,233,234,234,234,235,236,232,244,246,203,139,90,95,98,85,90,96,101,84,180,233,222,222,224,104,55,231,233,234,235,236,236,237,235,238,255,205,126,108,89,83,93,96,91,102,120,168,226,224,225,222,227,161,117,232,234,235,235,236,238,239,232,249,255,171,106,103,102,93,97,90,161,216,226,234,226,227,225,223,227,183,168,234,235,236,237,239,240,239,233,255,241,161,112,101,104,93,109,182,234,234,229,226,228,229,227,223,234,135,168,235,235,237,239,240,240,237,245,255,212,140,95,94,94,92,162,250,230,233,231,229,230,229,227,226,232,145,200,236,236,238,240,241,241,237,255,255,200,147,111,108,94,89,172,245,233,234,233,232,231,228,228,228,230,194,179,238,240,241,241,243,241,243,255,250,189,141,120,115,110,89,202,244,235,235,234,232,232,231,229,229,229,227,192,240,242,243,243,243,240,255,255,231,173,130,114,112,112,113,226,241,236,236,235,234,234,233,231,230,230,226,215,240,242,243,244,243,239,255,255,216,162,121,111,110,111,115,230,241,238,237,235,234,234,233,232,231,230,229,220,242,242,243,245,243,243,255,255,208,155,120,112,114,114,122,237,240,239,238,236,235,235,234,233,233,231,228,225,241,243,245,247,240,255,255,245,197,148,118,113,116,107,122,248,240,239,241,239,236,236,237,238,235,234,235,229,242,244,247,246,241,255,255,230,185,139,113,111,106,106,95,188,253,238,239,241,242,237,219,205,191,181,188,227,244,246,247,241,252,255,255,216,171,134,114,103,101,106,109,109,240,252,245,237,210,187,187,183,180,167,118,177,247,247,249,238,255,255,246,201,163,132,112,93,98,105,113,98,155,218,206,183,182,186,194,180,151,152,154,200,246,249,243,246,255,255,238,193,155,129,106,88,106,113,115,119,108,127,162,186,201,191,157,127,165,224,236,234,245,247,234,255,255,255,227,189,150,121,99,94,121,127,137,136,136,144,170,188,170,138,114,179,243,236,232,232,247,234,255,255,255,254,220,182,142,120,97,106,131,137,147,144,143,148,155,138,135,175,216,242,234,233,233,230,235,247,255,255,255,244,214,173,135,120,100,120,135,141,145,143,134,120,118,170,227,246,242,237,235,234,232,231,240,255,255,255,254,235,204,158,129,120,109,133,143,145,137,127,106,126,206,248,245,239,239,240,236,234,233,232,255,255,255,253,235,211,182,141,126,113,115,133,139,139,116,107,185,241,248,241,242,241,240,240,237,235,233,232,255,255,246,226,202,186,151,125,114,112,121,125,130,110,106,203,255,245,241,243,242,241,240,239,237,235,235,234,255,251,229,202,182,171,134,112,110,117,114,114,109,132,221,253,241,243,243,244,243,241,241,240,238,236,235,235
10,67,72,77,75,61,48,57,29,21,48,47,54,56,68,79,82,87,93,96,101,106,109,110,113,114,116,118,119,74,79,84,77,67,50,66,24,28,49,50,50,74,103,77,85,88,95,98,102,106,109,111,114,115,117,118,119,82,87,92,79,72,52,72,18,35,48,52,45,109,126,64,85,91,97,101,104,107,110,113,115,117,118,119,119,90,95,99,83,76,55,75,14,41,49,53,49,98,133,66,76,98,99,103,106,109,113,116,118,119,119,120,120,97,104,104,85,78,62,75,12,46,49,53,52,79,133,81,64,101,104,108,110,113,117,120,122,123,123,123,124,104,112,109,89,79,70,70,12,51,50,53,57,68,132,106,62,99,110,113,115,120,124,127,128,128,129,129,128,110,119,111,94,78,79,64,16,54,51,55,59,65,124,124,68,90,117,116,121,125,129,132,133,133,133,134,134,115,124,113,100,77,89,55,22,55,52,56,61,68,112,133,77,76,123,121,126,129,134,136,138,138,138,139,139,119,129,113,104,75,98,44,29,56,53,56,62,71,112,148,91,70,126,127,131,135,139,141,144,144,145,144,145,123,132,114,108,75,105,36,34,54,54,57,62,74,114,147,98,70,128,132,136,139,142,145,148,149,149,149,149,127,134,114,111,75,108,23,58,61,54,56,64,77,113,136,98,66,126,137,139,144,147,150,152,153,154,154,154,131,136,115,110,79,100,67,103,56,62,73,64,82,119,120,102,63,120,142,142,148,152,154,156,156,157,157,158,133,135,116,107,83,97,95,97,52,48,50,53,78,126,109,126,59,111,148,145,151,155,158,159,159,159,160,160,136,136,119,104,87,116,72,89,76,53,43,37,41,66,87,105,55,98,152,148,154,158,161,162,162,162,163,163,138,135,122,100,94,94,46,52,91,80,63,37,23,47,69,78,63,79,153,151,156,160,161,163,164,164,165,166,140,133,128,97,102,81,43,86,104,92,62,39,31,37,52,63,61,65,150,155,158,162,164,165,166,166,167,167,142,132,130,92,116,58,67,144,123,89,66,49,42,39,46,52,55,63,151,157,159,163,166,167,168,169,169,169,143,133,131,88,121,46,76,145,119,77,83,67,48,43,43,48,49,66,155,158,162,165,168,169,170,171,171,171,145,133,131,86,127,39,48,157,148,66,59,83,65,53,40,41,47,73,160,159,164,168,170,170,171,171,172,173,144,134,133,87,129,29,51,156,154,61,86,85,83,64,43,42,41,85,163,158,164,168,171,171,172,173,174,174,144,135,134,89,134,24,50,143,110,77,136,103,83,76,50,45,38,91,165,159,165,169,171,173,174,175,176,176,144,138,130,93,131,20,46,130,144,114,141,121,90,80,62,51,41,99,165,159,164,168,171,172,173,175,176,175,145,143,125,100,125,17,47,105,147,126,134,122,111,85,65,56,42,103,165,160,164,168,171,172,173,174,175,175,146,145,119,109,114,8,53,64,137,147,134,131,111,91,70,58,42,98,164,159,164,167,170,172,173,173,174,176,145,147,112,114,112,38,71,57,128,148,130,144,105,90,68,60,47,110,169,165,170,174,177,178,180,181,182,185,138,148,109,114,135,85,81,78,105,147,128,138,105,82,68,65,50,90,118,120,124,127,132,134,137,140,143,142,143,147,106,121,131,74,73,78,77,132,126,117,110,94,84,68,46,69,85,82,83,84,84,84,85,84,85,54,145,143,102,127,127,78,78,81,78,100,108,101,111,115,106,69,41,45,91,89,92,94,93,91,91,95,73,45
0,153,155,156,155,156,158,158,158,159,158,157,156,157,157,157,158,157,156,157,158,157,157,159,158,156,156,157,156,154,156,157,156,157,158,159,159,160,159,158,159,159,159,157,158,160,163,159,161,159,158,160,159,158,159,159,158,157,157,158,158,158,159,159,159,159,160,159,158,158,161,171,152,116,133,165,151,156,165,161,161,160,159,161,161,157,158,158,159,161,160,159,161,161,160,163,161,128,125,178,145,113,86,94,109,101,144,151,112,154,163,161,161,158,159,160,161,162,161,161,162,163,164,188,170,131,91,142,153,131,108,41,99,97,80,137,76,139,169,160,162,160,160,162,162,161,162,161,167,145,134,193,168,142,107,136,174,134,115,60,120,111,76,110,83,130,171,163,163,160,161,163,162,162,162,165,194,144,98,152,182,147,116,124,192,147,119,66,135,114,66,83,89,103,178,162,165,159,161,162,163,165,160,179,188,153,122,124,195,154,115,109,192,151,115,63,137,109,54,68,102,53,164,165,165,161,162,162,163,160,178,173,172,165,138,99,178,162,112,89,189,148,103,43,103,98,46,56,114,39,109,177,164,162,163,164,163,164,182,143,167,176,144,86,152,168,110,66,158,137,88,34,74,82,39,58,118,50,80,178,164,163,164,166,162,176,172,130,145,173,142,83,120,161,103,49,116,123,83,39,56,70,29,78,129,63,84,180,168,163,164,166,164,176,167,137,130,152,125,74,88,140,95,40,81,117,79,37,59,72,42,123,141,73,88,180,169,161,162,162,169,177,154,126,97,136,116,70,64,131,93,30,55,120,74,31,84,76,72,154,137,73,97,180,167,162,162,163,164,190,171,136,86,105,119,60,53,125,98,29,50,128,75,98,148,110,81,142,143,71,110,180,168,163,164,163,166,188,175,141,100,62,97,82,48,129,113,41,60,127,131,148,141,124,92,90,128,64,114,179,166,164,164,162,170,193,179,153,122,82,71,95,68,126,124,107,146,156,151,140,127,107,95,72,77,49,111,180,167,164,165,163,170,194,185,160,133,118,106,101,124,138,149,168,168,164,153,137,120,97,81,74,55,38,108,182,168,165,165,164,170,188,187,170,149,135,125,113,118,142,157,165,165,166,154,131,116,95,73,61,55,34,132,180,170,163,164,164,166,182,183,177,162,151,131,123,120,134,152,163,163,158,149,126,111,90,69,59,40,90,175,174,172,166,169,169,162,180,183,184,173,157,136,124,123,135,157,167,163,151,141,124,107,84,65,41,76,171,171,172,172,127,131,138,129,165,185,188,174,157,141,127,123,136,161,165,157,145,136,120,98,76,53,52,162,180,177,179,179,58,60,66,50,115,188,177,168,159,145,132,118,136,157,153,141,129,120,107,86,67,48,77,131,130,134,132,130,66,66,67,53,83,183,163,158,159,150,136,117,130,153,144,128,109,95,85,75,56,57,59,57,55,51,74,111,64,65,67,60,74,176,152,156,161,151,134,117,125,150,139,117,86,70,65,56,59,68,61,59,90,139,179,177,63,63,64,62,70,173,153,156,161,146,135,123,121,142,133,102,65,54,48,59,67,69,100,146,185,186,172,154,63,62,64,63,65,178,169,157,159,143,130,127,114,126,122,86,54,48,50,57,81,157,195,204,190,181,174,153,63,65,63,62,61,174,177,166,157,140,132,132,109,116,116,77,50,45,49,108,184,202,199,192,182,189,192,176,64,63,63,63,61,162,175,173,157,140,132,133,105,108,112,73,45,33,113,191,189,192,196,180,176,185,196,195
16,216,217,219,219,219,219,220,221,221,221,220,221,222,222,221,220,221,221,223,224,222,221,223,223,223,223,223,220,217,218,219,220,221,220,221,223,222,222,221,223,224,221,225,227,227,225,222,224,223,223,224,224,223,223,223,222,219,219,220,222,222,220,221,222,222,224,224,225,222,222,203,199,195,211,233,227,224,224,224,223,223,224,223,222,218,219,219,222,222,222,222,223,222,220,214,208,224,235,195,174,167,143,168,219,231,225,224,224,224,225,224,223,218,220,220,222,222,224,224,224,225,219,198,202,238,238,212,196,181,151,113,122,178,226,229,223,225,225,224,224,219,220,222,223,224,222,218,207,243,236,206,219,242,229,216,206,182,137,133,115,106,137,214,232,223,226,225,225,222,222,222,223,222,234,218,211,234,230,213,222,243,216,205,197,175,122,133,122,117,108,124,213,233,226,227,225,222,223,223,224,221,244,232,213,227,226,223,216,230,203,199,187,161,121,122,115,116,119,106,118,221,230,227,227,221,221,223,223,221,229,228,211,224,232,229,220,227,206,197,180,145,117,112,109,113,117,118,98,148,239,228,228,219,221,222,224,230,221,227,226,219,231,231,223,238,220,200,170,134,112,102,106,114,116,113,111,104,216,233,228,220,222,220,231,230,218,228,239,225,225,230,225,237,223,197,159,126,105,89,106,117,119,121,112,100,199,234,225,221,222,221,225,228,226,222,234,223,225,235,232,232,221,187,144,119,83,83,106,118,124,130,116,106,217,230,226,222,222,223,223,227,237,229,235,240,198,237,240,229,223,185,132,95,52,82,100,110,130,126,115,114,223,228,228,225,224,224,223,227,236,241,212,218,210,226,240,232,225,177,122,71,45,73,89,105,140,121,110,124,228,229,229,223,222,224,223,224,223,245,202,178,225,223,231,237,222,170,115,71,47,57,78,116,149,120,106,145,234,229,230,221,222,223,223,224,215,217,243,224,205,220,233,243,217,167,109,83,71,58,82,145,152,122,105,150,235,228,230,225,226,228,228,228,228,205,219,231,215,220,235,245,213,162,107,95,101,86,104,172,172,136,101,146,235,229,230,180,185,188,192,195,201,195,195,221,201,197,221,244,211,153,106,104,108,93,121,190,197,166,104,150,239,227,230,124,126,125,125,127,129,130,132,164,142,129,201,245,210,143,106,111,114,104,133,190,205,191,132,125,202,242,255,132,132,131,128,129,129,128,127,126,132,114,193,247,213,134,135,125,117,112,139,184,204,208,173,144,232,252,255,130,132,131,130,130,132,132,132,133,136,119,178,249,215,129,188,153,133,122,123,171,195,206,190,151,223,251,255,130,130,129,132,131,131,131,131,133,135,124,153,241,213,135,213,177,149,141,118,131,184,190,176,118,191,251,228,129,129,129,131,131,132,131,132,134,136,128,141,255,207,145,234,200,170,157,139,110,131,167,141,146,208,200,225,129,129,128,129,131,131,131,131,132,134,130,136,255,170,176,247,214,187,172,152,124,107,119,103,198,240,173,202,128,130,129,130,130,130,131,133,133,133,132,134,164,167,238,241,221,197,181,162,133,113,115,95,203,255,219,185,128,130,130,131,130,128,130,133,132,132,131,133,115,196,249,241,228,203,187,170,141,113,116,98,199,255,240,225,129,130,130,131,130,127,128,131,131,131,131,133,123,184,240,238,232,210,190,174,149,118,114,97,181,255,235,213,127,127,130,134,130,128,128,130,130,131,131,133,124,182,237,237,230,209,191,177,154,123,116,100,170,255,246,195
17,141,145,146,148,150,151,152,154,156,157,157,159,160,161,161,164,164,163,166,165,164,167,166,165,167,166,167,166,141,144,147,149,151,152,153,155,157,158,158,160,161,162,165,165,165,170,169,170,167,168,166,167,168,167,167,165,141,144,148,151,151,153,155,156,156,160,160,160,162,163,164,167,154,135,146,127,168,169,169,169,169,169,168,167,142,145,147,151,153,155,155,157,158,160,159,161,162,166,165,171,172,109,85,82,160,173,170,171,170,170,170,168,143,146,150,151,154,155,157,160,162,162,162,163,165,167,166,170,188,133,72,74,169,171,171,171,170,170,170,168,144,147,151,152,153,156,159,161,161,163,164,166,170,167,169,169,189,152,84,84,180,171,172,172,171,172,172,169,145,149,151,153,156,158,159,160,161,163,167,158,149,177,171,167,192,161,96,116,183,172,173,173,172,172,173,171,147,150,151,153,157,158,159,163,165,164,169,164,114,132,177,177,191,154,101,137,181,174,175,175,174,174,173,173,148,150,152,154,157,158,161,161,161,156,173,171,142,116,138,171,188,152,98,135,183,174,175,176,175,174,173,171,149,151,152,155,158,159,157,176,166,113,131,179,181,175,125,86,149,150,102,135,185,175,177,175,174,175,175,173,150,152,153,157,161,160,164,179,171,119,138,153,172,187,162,90,93,126,94,132,186,176,176,175,176,177,176,175,151,154,155,157,161,160,174,166,148,147,110,98,89,196,186,124,73,98,82,128,188,177,178,177,177,177,176,176,150,153,156,157,161,159,178,163,103,109,98,67,60,180,202,148,80,78,70,125,189,177,179,178,178,177,177,177,151,153,157,159,162,161,182,162,130,129,109,102,102,160,213,160,98,73,73,116,188,178,179,179,178,178,178,178,151,155,158,159,162,165,189,162,140,131,112,128,136,167,203,164,116,73,69,113,188,178,180,181,180,179,179,178,152,154,158,163,160,174,182,139,126,123,126,135,179,209,171,158,122,72,59,112,190,178,181,181,180,180,178,175,152,155,159,164,158,183,183,144,130,123,132,153,214,204,165,141,113,69,52,114,190,180,182,181,181,181,179,177,152,156,158,162,159,191,185,153,134,123,134,189,210,189,162,134,104,70,53,138,191,179,182,180,181,180,181,179,152,157,159,162,160,196,184,160,146,124,155,209,199,185,153,121,99,66,66,171,185,181,182,182,181,180,180,180,152,156,161,163,161,204,185,167,163,135,165,207,188,181,156,112,92,57,103,192,179,183,183,184,182,181,180,179,154,158,161,165,162,207,191,173,173,150,162,200,181,172,150,108,82,59,155,189,181,182,183,184,182,181,181,182,154,159,162,164,159,200,201,179,170,160,157,187,176,173,144,102,71,80,186,182,181,182,183,183,182,182,182,182,155,159,162,166,162,190,203,176,163,158,162,173,165,178,153,99,67,98,192,182,184,184,184,184,183,184,183,181,157,160,162,165,162,188,195,174,162,152,160,170,161,178,144,100,66,130,194,182,185,185,185,185,184,184,183,182,155,158,162,166,163,192,199,182,164,160,164,172,159,172,128,92,75,172,187,184,184,184,185,185,184,184,183,182,153,157,162,166,165,200,208,181,162,169,173,164,146,158,114,72,113,193,182,185,185,185,185,185,185,185,184,183,155,158,163,165,165,208,200,165,164,172,175,150,133,141,97,69,166,189,184,185,186,186,185,184,186,185,184,183,156,159,163,164,168,210,194,159,165,173,169,143,131,124,81,93,190,182,185,186,186,186,186,185,186,185,183,184
24,144,149,155,164,170,174,178,181,185,187,190,192,193,194,194,194,193,192,192,191,190,188,186,186,186,183,181,179,146,149,157,167,174,177,181,185,188,191,194,196,197,198,198,198,198,196,196,196,195,193,192,191,189,187,185,184,148,151,160,169,175,180,184,188,191,194,197,200,201,201,201,201,201,201,200,200,199,197,196,195,194,192,189,188,149,154,162,171,177,182,186,189,193,197,200,202,203,203,204,204,204,204,204,202,202,200,200,198,198,196,193,191,151,155,163,173,180,185,189,192,195,199,202,205,206,206,207,207,206,206,206,205,205,205,203,202,202,200,198,196,153,157,171,178,182,187,191,194,198,201,204,207,208,207,208,209,209,208,208,207,207,207,206,206,206,204,201,199,151,170,177,150,188,189,192,196,200,203,206,208,210,210,210,211,211,210,210,210,209,209,210,209,208,207,205,203,151,178,168,119,186,191,194,197,202,205,208,209,209,211,212,213,217,213,211,213,211,211,212,212,210,208,207,206,153,183,168,115,182,193,196,200,204,206,208,211,217,215,216,196,174,212,214,211,213,214,213,209,215,211,209,206,154,187,159,110,181,196,196,199,202,210,209,210,183,198,238,196,139,150,218,215,209,194,182,149,162,217,210,214,156,182,154,109,181,196,204,191,159,188,223,216,153,130,182,203,166,123,198,208,197,172,136,113,187,227,210,186,157,182,165,111,175,197,217,215,185,166,211,218,169,137,129,204,179,137,156,179,205,149,120,186,200,156,105,84,158,184,178,120,160,201,211,234,226,193,157,218,189,165,131,189,181,133,118,195,182,118,112,122,89,73,79,75,162,177,193,161,165,194,210,208,234,212,160,170,211,171,126,147,164,114,141,209,145,105,80,74,85,89,85,82,164,168,203,187,181,196,211,177,194,216,164,122,205,189,135,99,111,118,184,187,122,85,78,76,73,88,84,78,166,168,193,203,199,216,217,199,176,191,160,109,181,201,142,89,95,164,191,159,104,68,73,84,70,77,86,83,167,172,186,224,206,193,198,186,162,173,166,127,137,167,118,111,138,167,165,133,85,79,62,76,79,70,78,87,166,174,182,222,208,178,189,177,146,151,169,149,125,124,163,185,175,173,142,110,59,82,74,63,76,72,74,81,166,176,183,214,215,165,156,165,152,153,169,178,159,175,229,216,191,182,130,96,49,68,85,69,65,74,72,74,138,143,140,176,218,178,144,156,186,161,199,224,207,226,234,210,189,174,121,95,57,54,80,82,70,71,67,71,129,131,125,146,223,203,162,143,177,174,208,223,229,239,228,202,182,162,112,86,70,47,68,83,77,75,67,65,133,134,134,136,210,213,180,153,154,180,198,229,234,230,215,192,174,155,108,68,79,46,58,79,78,79,71,61,134,135,137,131,194,220,196,169,153,174,188,227,233,223,205,184,166,153,111,58,82,55,47,71,79,76,73,69,132,134,137,129,175,222,206,179,166,173,179,217,228,212,197,181,159,147,109,58,78,67,43,60,78,74,72,71,132,134,135,131,151,215,209,190,174,178,172,205,221,204,195,181,148,137,103,60,74,76,48,49,73,75,69,69,132,132,133,134,133,195,209,198,181,183,170,187,211,200,198,174,137,129,88,48,71,78,60,43,63,77,65,66,132,132,132,134,130,155,210,204,190,184,174,169,194,193,187,164,131,123,79,42,57,80,70,49,49,73,67,60,131,132,132,132,135,130,185,208,193,184,171,157,168,180,168,150,129,113,68,42,46,76,73,59,45,60,73,57
7,185,188,191,192,195,196,197,199,199,200,200,201,202,202,203,202,200,201,201,200,201,200,199,197,196,194,192,191,189,191,193,195,197,198,200,203,202,202,203,203,204,204,204,204,203,203,203,203,203,204,201,200,198,196,195,194,191,194,196,196,199,200,202,204,204,204,205,204,205,204,204,205,205,205,204,204,204,205,204,203,202,199,197,195,191,195,197,198,201,203,203,204,207,206,207,207,207,207,207,208,207,208,208,207,206,207,206,204,203,202,199,199,194,196,197,200,202,204,205,207,209,208,208,209,209,210,211,211,212,210,209,210,209,209,208,207,205,203,202,201,195,197,201,203,204,207,208,209,209,211,211,211,211,213,212,211,212,211,212,211,212,211,209,207,206,205,204,203,196,200,204,205,207,209,209,210,212,212,213,213,214,214,213,212,213,214,214,213,214,212,211,210,209,208,207,205,199,203,206,207,209,210,211,212,214,214,214,214,214,216,216,215,216,217,216,216,215,214,213,212,211,211,209,206,202,204,206,209,211,212,213,215,216,215,218,219,216,217,218,219,218,218,218,218,217,215,214,214,212,211,211,209,202,204,208,211,213,215,214,214,219,220,209,214,218,218,218,219,219,221,221,220,218,217,213,213,216,213,212,211,203,207,210,211,212,214,219,226,233,228,189,171,195,210,208,207,210,214,208,212,205,212,199,239,221,207,215,212,205,208,209,215,221,229,230,232,233,232,215,161,162,186,195,195,193,184,187,191,189,195,182,191,176,212,217,215,205,214,225,232,233,231,227,223,215,213,199,159,148,161,181,191,193,194,188,178,183,184,171,179,174,205,217,212,229,235,233,233,226,221,214,202,198,212,214,170,141,137,141,154,167,174,163,170,177,179,174,189,182,190,186,198,241,232,228,220,211,207,203,204,208,218,214,173,147,154,153,146,134,118,156,165,162,162,157,160,170,170,180,216,237,228,218,206,198,194,195,195,204,212,190,157,138,144,161,168,157,135,170,237,225,221,221,221,219,222,226,224,232,226,218,205,195,195,196,190,190,206,202,162,126,125,142,146,150,137,152,236,228,229,229,227,227,226,224,223,228,225,220,210,203,200,202,201,198,212,214,172,147,155,154,146,142,114,210,237,229,231,229,228,227,226,226,224,222,217,215,213,210,205,202,199,199,204,204,175,158,168,164,157,139,167,242,231,231,230,230,229,229,228,227,225,207,205,208,211,212,207,200,195,196,187,167,154,135,131,140,148,124,220,233,232,233,230,230,230,228,227,227,232,122,137,168,202,209,198,187,174,161,150,145,142,84,78,104,125,154,239,233,234,233,232,229,229,231,236,232,166,42,43,59,95,144,162,149,158,168,196,222,235,142,101,133,159,223,237,235,235,235,233,233,239,220,197,162,104,41,36,31,29,31,68,206,230,238,240,236,240,225,199,225,239,239,236,236,236,235,239,238,189,128,109,93,84,34,30,28,30,8,91,252,229,233,233,234,236,237,241,237,235,236,236,235,234,239,218,136,94,103,100,89,79,28,25,21,22,3,81,251,230,235,235,237,237,236,235,236,237,237,236,234,240,243,143,85,62,79,83,75,74,25,25,24,28,0,73,246,224,232,233,235,236,237,238,239,240,241,241,244,224,137,114,94,57,51,73,68,64,34,34,30,17,0,41,146,138,141,146,148,151,155,158,159,162,164,162,174,145,70,101,92,48,42,55,59,57,45,39,22,0,0,34,115,108,107,109,110,111,111,112,115,113,112,116,135,116,59,92,86,44,37,47,51,53
2,171,172,173,173,173,174,175,174,174,173,174,173,172,173,172,171,170,169,168,166,166,165,163,161,160,158,157,156,172,173,174,175,175,176,176,176,177,176,175,174,174,174,174,173,173,172,171,168,166,166,163,161,160,158,157,156,174,175,176,177,178,178,178,178,178,177,177,176,172,162,162,163,158,152,147,151,166,166,164,163,162,161,159,158,177,177,178,179,179,179,180,180,180,179,179,174,157,146,146,147,143,123,105,100,135,165,168,165,164,163,161,160,178,179,179,180,180,180,181,181,181,181,179,166,153,148,139,134,138,111,92,106,118,122,141,164,166,164,163,161,179,180,181,181,182,183,183,182,183,183,180,171,159,142,123,109,98,74,71,90,98,80,81,151,169,166,164,161,180,181,183,183,184,184,185,185,184,178,169,163,145,108,80,70,84,100,137,135,109,87,110,163,169,167,165,163,181,182,184,185,185,186,186,187,186,174,160,141,108,68,50,64,158,178,179,179,173,166,171,171,169,168,166,164,182,183,185,186,186,188,188,188,186,173,149,103,67,52,51,98,181,182,180,180,178,176,175,173,171,170,168,166,184,185,186,187,188,189,189,189,186,174,140,77,49,45,58,150,185,183,181,180,179,177,176,175,173,171,169,167,185,186,187,188,189,189,191,189,185,172,133,72,48,46,84,182,185,185,183,181,180,179,175,163,158,169,170,167,186,187,189,190,191,191,192,187,182,166,119,63,57,56,94,185,186,186,184,182,181,176,141,110,101,140,172,169,187,188,188,190,193,193,193,187,182,161,110,72,65,57,105,189,187,187,185,183,180,145,111,103,91,128,173,170,188,189,190,191,193,194,193,185,182,160,115,84,65,54,122,193,188,188,187,184,152,112,110,100,93,155,173,171,188,190,192,193,194,194,191,184,181,158,115,87,64,55,93,183,190,188,189,161,103,95,99,86,124,175,173,172,189,192,193,193,195,195,191,184,178,153,119,89,62,59,63,103,157,189,165,117,90,86,85,89,166,177,174,173,190,192,193,194,194,196,191,184,178,153,117,84,63,61,65,69,87,126,101,93,97,83,78,141,180,178,176,174,191,192,194,195,195,196,188,185,185,153,113,87,64,61,66,72,79,79,77,86,85,87,147,181,180,179,177,174,191,193,194,196,196,197,185,190,185,147,110,87,65,62,68,72,80,83,76,80,86,153,185,183,181,180,177,175,191,192,194,196,198,196,184,192,178,139,107,89,67,62,70,74,80,83,75,70,143,187,184,182,181,180,178,175,192,194,195,197,199,195,185,190,169,133,108,90,67,63,73,78,81,79,71,125,185,187,184,182,181,180,179,176,193,194,196,198,199,192,185,184,158,130,110,88,67,63,77,80,80,68,95,184,190,187,185,184,183,180,179,178,194,195,197,199,200,191,181,172,149,125,105,84,65,64,77,75,70,68,157,193,190,188,187,186,183,181,180,178,194,195,197,198,199,190,178,165,145,120,102,82,64,64,73,70,63,130,193,193,190,190,187,186,185,182,179,179,194,195,197,198,197,188,170,158,136,113,96,79,65,63,63,63,122,191,195,193,192,191,188,186,185,183,180,179,194,196,197,198,196,187,166,155,134,111,91,75,61,58,75,139,193,197,195,193,192,191,189,186,184,183,181,180,194,196,197,197,194,182,163,150,133,109,85,66,54,105,179,200,199,197,195,194,192,190,189,187,185,183,182,180,194,196,198,196,187,164,151,146,129,101,74,58,70,179,203,200,199,197,196,195,193,192,191,188,185,184,182,179
1,117,101,91,86,88,83,48,86,104,115,124,129,136,141,142,144,148,151,153,154,157,158,160,161,163,164,164,164,119,99,95,85,94,76,52,91,106,114,136,141,113,139,145,148,150,153,154,156,158,160,161,163,165,165,165,166,119,99,99,85,99,70,57,94,107,118,142,156,99,120,139,132,154,154,156,158,160,161,164,166,167,167,168,167,119,99,102,85,104,64,63,94,125,149,115,157,115,116,146,100,142,158,158,159,161,163,166,167,168,168,169,168,119,100,104,86,107,58,69,94,133,156,108,154,127,117,157,104,118,162,158,161,163,166,167,168,169,170,170,170,116,101,104,87,108,52,75,98,131,162,114,147,142,115,159,124,104,160,160,163,166,167,169,170,171,171,171,171,115,104,103,91,107,50,80,97,129,166,112,149,164,122,146,139,99,149,164,165,166,168,170,171,172,172,172,172,113,107,102,95,102,48,87,117,124,171,126,145,169,124,145,160,107,132,169,165,167,169,171,172,173,173,173,173,111,110,99,100,97,43,112,153,115,173,140,133,163,127,143,167,119,116,169,165,168,170,172,173,174,174,174,175,110,112,97,106,91,45,120,149,110,167,143,123,161,132,130,163,129,110,166,167,169,171,173,174,175,175,176,176,109,114,94,111,83,49,119,151,106,159,148,115,165,144,122,166,138,108,163,169,170,172,174,174,175,176,177,177,111,116,92,115,75,53,118,161,108,157,159,108,156,154,117,169,145,105,156,171,171,173,174,175,175,177,178,178,112,118,92,120,67,58,114,172,118,141,168,111,125,155,102,150,151,102,148,174,171,173,175,175,176,177,178,178,115,119,93,123,60,65,107,164,119,123,169,114,116,151,114,150,153,103,132,176,171,173,175,175,176,178,179,178,117,117,95,122,54,72,100,158,136,112,154,138,138,140,150,156,129,102,114,175,171,173,175,176,177,177,178,177,120,115,98,119,49,77,96,160,145,109,148,154,135,125,142,152,118,91,101,167,173,174,176,176,178,178,178,178,121,113,102,116,46,80,96,156,140,144,148,149,152,140,167,173,128,90,82,155,176,173,176,177,178,179,179,179,125,112,107,112,45,84,96,157,157,159,135,139,146,145,166,163,134,106,78,135,179,173,176,178,179,179,179,179,129,110,114,110,45,86,98,166,166,143,127,122,131,138,142,148,150,128,90,109,178,175,178,178,179,179,180,180,133,108,120,103,45,87,96,159,160,132,117,127,132,145,164,161,162,149,115,95,168,176,176,176,177,177,178,179,135,105,126,94,47,87,90,144,159,129,116,130,134,150,175,174,167,161,132,100,163,174,173,174,175,177,176,175,135,103,132,85,47,86,90,121,161,137,122,122,139,151,173,181,163,152,125,104,165,172,172,173,175,175,180,198,134,101,135,77,56,88,92,103,152,143,128,120,138,150,171,178,160,143,116,97,164,172,172,174,176,173,181,207,133,104,131,113,98,110,114,113,140,154,138,125,129,145,166,173,157,139,112,95,152,158,159,161,160,162,154,156,132,104,133,118,77,82,84,83,95,150,143,135,127,138,162,165,146,133,108,92,101,102,105,101,121,158,157,151,129,106,135,114,80,85,86,89,85,112,148,140,135,132,148,155,138,126,103,92,101,102,100,103,155,160,154,147,126,108,136,112,80,85,86,87,89,86,128,145,140,130,128,139,128,114,98,95,100,101,96,134,168,157,152,146,121,104,137,108,78,83,84,85,88,84,101,146,135,123,118,121,117,108,92,95,99,97,101,160,163,155,147,143
2,176,178,179,179,182,183,183,183,184,183,183,184,183,183,182,178,179,180,178,179,178,178,177,177,176,175,174,173,178,179,180,182,183,184,184,185,185,184,184,185,184,181,184,195,204,197,182,175,177,179,179,178,178,177,176,174,179,179,181,184,184,184,185,185,185,185,186,183,185,199,217,220,209,201,201,163,145,143,163,179,177,178,177,176,180,181,182,183,185,186,186,185,186,187,184,193,226,217,217,216,195,171,162,139,118,119,114,165,182,178,177,177,181,182,184,184,185,187,188,188,187,189,181,219,225,212,217,187,152,130,126,119,117,119,105,151,185,177,178,179,182,183,184,186,186,187,188,189,189,187,189,233,223,214,176,141,114,107,112,111,119,120,136,175,182,180,180,179,183,184,185,186,188,189,189,190,190,184,203,240,221,169,128,115,105,114,117,147,175,174,183,184,183,181,180,180,184,185,186,188,189,189,191,191,193,185,211,237,201,140,108,113,112,117,160,188,187,187,184,184,182,182,182,181,185,186,188,189,189,190,190,192,193,187,230,226,170,118,101,107,109,122,190,186,185,185,185,184,183,183,182,182,185,187,188,189,191,191,191,194,188,206,239,189,132,101,100,96,107,126,189,187,187,187,186,185,185,184,183,182,185,187,188,190,191,192,192,193,193,236,218,160,120,109,112,105,98,140,194,187,188,187,186,185,185,184,183,183,186,188,189,191,193,193,195,189,224,243,199,155,129,122,119,117,105,154,196,188,189,188,187,186,186,185,184,184,187,189,190,192,194,195,195,196,249,233,187,146,125,128,121,120,112,159,197,188,189,189,188,186,187,187,184,183,189,190,191,193,195,196,192,211,254,219,170,137,128,127,119,122,116,162,198,190,191,190,189,188,187,189,188,185,190,191,192,195,195,198,191,229,250,208,160,131,124,122,119,123,117,168,199,191,191,191,191,191,190,182,173,180,190,191,193,196,197,198,196,248,241,197,156,129,121,121,122,124,112,166,200,192,192,191,192,189,176,175,145,149,191,193,195,196,199,192,217,255,226,189,150,126,118,119,118,118,108,143,203,193,194,194,191,173,179,164,134,179,193,194,196,197,200,195,243,249,217,183,148,123,116,115,114,120,114,118,196,196,195,196,168,170,177,132,161,193,194,196,197,200,195,210,255,238,209,176,142,121,114,111,117,123,123,109,159,206,194,164,159,175,148,132,190,189,195,196,197,201,195,229,253,229,200,171,140,120,113,114,118,121,124,120,116,150,158,156,168,160,131,148,195,189,196,197,198,200,198,243,245,221,198,169,138,121,112,119,120,116,120,122,118,120,150,174,165,143,139,181,193,190,196,198,200,199,208,247,236,218,198,165,140,125,116,126,124,123,127,128,125,138,165,172,155,143,184,196,192,191,197,198,201,197,227,246,232,223,201,170,149,129,120,133,135,139,137,137,132,141,166,151,146,187,199,195,193,191,197,199,201,201,245,246,234,223,203,176,154,133,125,139,145,149,139,136,134,140,143,151,192,199,196,197,193,192,198,201,199,210,249,243,233,220,192,165,152,137,130,141,148,149,141,136,131,133,150,195,201,198,197,196,195,193,198,203,194,226,245,237,228,205,173,150,142,137,136,145,146,143,140,128,150,186,199,201,199,198,197,197,195,192,200,198,213,245,234,224,206,177,151,145,142,135,137,140,139,137,130,158,202,204,200,200,199,197,197,197,194,192,198,204,249,235,219,209,190,154,147,148,143,139,138,134,133,139,173,205,204,201,201,201,199,199,198,197,195,194
4,122,136,150,156,162,166,170,173,175,178,181,184,185,188,191,192,195,194,196,199,198,199,201,200,200,201,201,202,122,139,152,158,164,167,172,174,177,180,184,185,188,191,190,194,193,197,199,201,204,202,202,202,204,203,204,203,125,141,152,158,164,169,173,176,179,181,182,185,180,184,199,201,173,162,196,190,187,205,203,204,205,205,206,204,127,143,154,160,166,170,174,179,180,176,192,221,186,165,199,218,170,118,159,182,126,153,210,205,206,206,207,207,128,145,155,161,167,170,175,179,186,193,170,192,220,167,153,205,156,113,116,161,132,104,195,211,207,208,209,209,129,148,157,163,167,171,177,176,213,209,181,151,168,158,126,167,143,105,117,163,132,94,189,214,208,210,211,210,132,148,157,163,168,172,173,191,225,217,196,169,118,122,118,186,158,91,161,168,115,95,206,211,209,211,212,212,134,150,158,164,169,174,172,210,195,185,190,146,111,101,116,195,156,141,188,145,88,115,217,212,211,213,214,213,136,151,160,165,170,175,175,221,177,171,179,115,99,109,90,136,166,203,182,161,115,138,225,211,213,214,215,214,141,152,159,166,171,174,183,228,190,190,166,121,85,136,151,168,184,183,163,172,150,140,215,215,214,215,215,215,142,153,158,166,174,173,196,220,174,159,153,126,72,165,185,169,169,147,164,189,170,143,157,222,213,219,218,217,145,154,160,169,173,170,208,210,167,142,128,97,73,93,135,136,131,98,162,196,189,174,127,176,225,216,220,220,144,155,161,169,175,175,230,215,177,155,135,112,90,83,89,95,121,164,167,189,199,179,148,119,206,222,220,220,147,156,161,169,173,182,242,207,181,167,135,114,101,113,143,171,205,218,201,191,178,170,160,120,165,230,219,221,150,156,162,171,171,193,248,213,199,170,133,128,113,150,197,216,223,216,196,182,158,146,150,118,173,229,221,222,151,156,162,172,168,206,248,217,195,158,139,136,128,189,217,223,225,222,193,169,146,128,125,129,215,222,223,223,151,156,163,173,169,211,246,214,183,157,154,141,155,209,214,221,224,209,180,158,138,124,111,184,229,222,224,223,152,156,163,173,169,213,243,207,187,176,171,156,181,208,213,217,212,189,168,146,132,110,141,228,223,224,226,226,153,157,164,172,171,210,236,212,205,196,179,173,199,206,212,205,191,177,153,139,123,112,208,229,225,226,227,228,153,157,165,173,172,199,236,221,214,196,176,171,193,200,198,186,172,161,141,131,109,169,234,224,224,227,228,228,154,158,167,174,175,190,232,215,208,193,171,156,173,183,183,174,158,147,134,114,133,226,225,226,226,228,228,228,154,160,168,174,178,186,228,207,194,182,164,156,167,178,176,161,143,135,122,112,203,229,225,228,229,229,229,230,153,160,168,174,179,182,220,195,182,172,158,166,162,171,173,155,139,129,103,174,232,224,228,227,229,230,230,230,154,160,169,175,178,192,221,197,184,178,180,184,161,154,162,143,131,111,136,227,225,227,229,230,230,230,230,230,155,161,170,174,183,231,203,191,194,185,183,173,155,145,150,136,124,105,195,230,225,228,229,229,230,231,230,231,155,162,170,170,219,230,225,152,166,193,175,161,150,137,137,130,119,103,212,227,226,228,229,229,230,232,231,233,155,165,166,190,238,221,228,212,115,155,163,151,143,124,129,123,112,105,217,226,226,228,230,230,230,232,233,233,156,163,168,228,224,223,221,232,187,99,133,146,133,111,122,118,110,104,215,229,227,228,230,232,232,233,234,234
14,183,184,185,185,184,185,185,185,186,185,184,185,185,185,185,183,182,181,180,179,178,177,176,175,174,172,171,169,186,187,187,188,188,187,188,189,187,187,187,188,188,188,187,186,185,183,182,182,180,180,179,177,176,175,173,172,188,189,190,190,190,189,190,190,189,189,189,190,190,189,189,189,188,187,186,186,184,183,182,181,180,178,177,175,191,192,192,192,194,193,193,193,193,192,192,193,193,190,182,173,181,183,181,180,179,181,185,183,183,181,180,179,194,195,194,195,196,196,196,195,195,194,195,195,193,187,173,157,161,163,156,159,153,132,158,187,185,183,182,180,196,197,197,197,198,198,198,198,198,196,194,179,174,183,186,181,176,160,126,131,145,122,102,144,185,187,184,182,198,199,199,199,200,200,198,199,200,198,196,193,188,192,191,182,172,160,143,121,129,134,110,110,145,172,185,185,201,201,201,201,201,201,201,200,200,199,197,184,168,160,148,131,112,114,138,143,146,147,110,111,131,118,173,188,202,202,203,203,203,203,203,202,202,201,195,170,164,163,137,110,93,92,92,118,133,119,91,79,94,75,104,176,204,204,204,204,204,205,204,205,201,187,188,193,189,173,150,133,131,146,115,156,171,154,165,128,82,64,67,111,207,207,206,206,206,206,207,207,200,189,191,184,169,139,119,111,109,108,123,192,202,201,200,200,149,69,76,85,208,208,207,208,208,207,208,208,197,188,177,147,114,71,54,54,56,95,184,203,202,202,202,189,112,92,101,97,209,209,209,209,209,209,208,206,197,183,137,89,58,47,49,51,49,141,208,204,205,203,204,144,98,116,111,89,210,211,211,210,212,211,211,206,198,176,121,69,54,55,58,62,59,163,209,207,206,206,182,107,110,117,104,82,212,212,212,212,213,213,213,206,197,170,117,65,59,58,57,58,60,181,211,208,207,207,137,94,108,109,88,122,214,213,214,214,214,215,215,205,196,158,96,64,70,58,55,54,51,158,215,209,210,180,105,94,99,96,87,175,215,215,215,215,215,216,213,202,195,156,106,84,70,57,57,52,45,71,154,203,198,118,102,104,94,79,139,202,217,217,217,217,215,217,211,202,198,167,118,89,66,58,62,62,63,64,73,120,121,88,103,103,86,113,198,203,217,218,218,218,217,217,211,198,197,165,121,93,66,61,69,76,80,84,88,91,83,91,102,93,94,183,208,205,218,219,218,217,218,218,211,193,192,166,135,96,64,62,72,85,87,92,98,106,102,91,103,86,149,210,208,206,218,219,219,218,218,220,212,189,190,172,137,98,72,61,73,90,92,93,100,112,111,98,86,96,197,212,210,208,218,219,220,220,220,221,212,192,195,175,144,112,82,62,75,92,95,98,106,118,117,100,79,148,214,212,210,209,220,220,221,223,222,222,211,194,198,173,141,111,88,65,72,95,97,102,112,119,112,89,108,207,215,213,212,210,222,223,223,223,223,223,210,196,194,165,136,113,93,72,68,95,97,103,114,114,103,77,154,218,215,215,213,211,222,222,223,223,222,224,209,194,191,160,132,116,96,78,65,87,96,101,109,106,89,89,198,217,215,215,213,213,221,221,222,223,222,224,205,188,186,156,132,117,95,79,66,81,95,96,98,93,73,150,219,217,216,215,214,213,222,222,223,223,223,224,205,183,177,154,130,109,90,78,68,75,90,91,88,75,112,207,217,216,215,214,213,212,223,223,224,224,223,225,203,180,171,152,126,105,91,79,70,74,83,85,75,94,196,220,217,216,216,215,214,211
21,172,173,176,179,182,183,183,184,185,188,188,186,187,187,187,188,188,187,186,186,186,186,185,184,183,182,181,180,174,175,178,180,182,184,186,187,187,188,189,188,186,188,190,190,189,188,188,188,188,187,186,185,185,183,182,181,175,177,179,181,184,185,187,188,188,189,212,191,170,189,193,192,192,191,191,190,190,189,188,188,186,186,185,184,178,179,182,184,186,187,188,189,191,192,223,208,155,179,194,193,193,193,194,193,193,192,191,191,189,188,187,185,179,181,184,186,188,189,190,192,194,192,209,224,165,161,194,195,195,196,195,195,194,195,194,181,190,190,190,187,181,183,185,188,190,193,193,194,195,194,199,230,200,163,187,196,198,198,198,198,196,205,193,145,184,193,192,191,182,184,187,190,192,194,194,195,196,197,196,226,227,173,172,199,200,199,199,199,198,217,183,136,187,195,194,193,184,186,189,192,195,196,196,198,198,199,199,218,235,182,158,197,201,200,201,199,209,220,169,150,196,196,196,195,185,187,191,193,196,197,198,199,200,200,201,209,237,196,155,190,203,202,202,202,223,211,156,172,201,198,197,196,187,189,192,194,197,198,199,200,201,202,204,222,228,207,153,175,205,205,203,210,221,191,143,189,201,200,200,198,188,191,194,196,198,200,201,201,201,202,216,245,229,207,157,142,197,207,206,224,215,165,152,202,202,201,201,199,190,193,195,198,200,201,202,203,205,220,222,226,233,210,181,156,173,203,213,226,206,150,182,206,204,203,202,200,192,194,197,200,201,202,203,206,211,241,225,207,231,221,216,205,165,165,196,203,175,149,203,206,206,204,202,201,194,196,199,201,202,204,206,206,217,224,220,203,172,173,221,218,169,129,154,164,139,170,209,208,208,206,204,202,195,198,201,202,205,207,209,207,221,221,178,154,118,114,177,222,185,133,125,133,128,194,210,208,208,207,206,205,196,199,202,203,207,208,210,209,226,214,178,168,138,125,144,225,210,153,115,115,136,207,211,210,209,208,206,206,198,200,203,205,207,209,210,210,233,233,207,176,146,146,147,219,230,173,121,105,151,213,213,212,211,210,209,208,199,201,204,206,209,210,211,213,241,235,192,164,151,165,172,230,240,193,138,105,157,215,214,213,212,211,210,210,201,203,206,207,209,211,213,216,242,225,187,171,174,184,201,248,240,199,151,113,158,217,214,214,213,212,211,211,201,204,207,208,211,213,214,217,244,235,204,190,189,197,227,254,234,196,155,114,159,218,216,216,215,214,213,213,201,204,207,208,210,212,214,216,244,241,215,195,201,212,241,254,233,191,158,118,160,220,217,217,216,216,215,214,201,205,207,208,210,212,215,215,242,247,222,200,204,222,250,251,232,190,154,118,167,220,217,217,216,215,215,214,203,205,207,209,211,214,215,215,240,249,226,213,210,232,253,244,224,185,150,116,172,221,217,217,217,216,215,214,203,206,208,210,213,215,217,217,236,251,233,230,223,236,252,239,216,183,144,113,171,223,220,219,219,219,217,215,204,206,208,212,214,216,217,218,228,251,242,239,232,230,243,224,206,178,136,109,172,225,221,221,220,220,219,209,204,207,210,214,216,218,220,220,222,246,248,241,229,219,226,207,194,174,130,107,180,226,222,223,223,221,207,153,204,208,211,214,216,218,220,221,221,239,249,236,213,198,205,199,188,174,125,108,201,226,224,224,213,174,133,104,188,193,197,200,202,205,208,212,202,213,244,225,195,177,188,199,182,166,112,120,219,225,225,214,155,114,102,93
4,73,81,93,100,102,106,109,112,115,117,119,121,123,126,128,130,131,133,135,137,139,140,141,142,143,144,146,146,74,83,93,100,102,107,111,114,116,118,121,124,123,124,126,130,135,133,136,138,139,141,141,142,143,144,145,146,76,85,93,100,103,109,112,115,119,118,117,120,128,139,119,112,117,138,135,140,142,141,143,144,144,144,144,146,78,86,97,101,105,111,113,116,117,131,134,113,110,144,156,126,83,91,120,98,126,145,142,145,145,146,146,146,79,88,99,103,106,111,114,115,115,154,167,149,112,81,150,124,84,50,116,73,75,151,141,146,146,147,148,148,80,89,98,104,109,112,113,135,139,124,100,150,119,65,108,114,71,46,99,80,68,148,144,147,147,148,149,149,82,91,100,104,110,109,130,177,155,116,66,120,113,60,77,130,85,46,113,100,61,141,146,148,148,149,149,149,82,93,102,105,109,106,145,153,154,114,66,91,133,68,48,136,103,33,128,108,49,139,150,148,149,150,150,150,83,95,102,106,111,107,150,151,129,136,101,59,140,96,10,96,137,70,87,92,105,94,131,151,149,151,151,152,85,95,101,107,113,108,151,151,108,122,104,31,78,86,29,77,144,109,84,92,107,84,99,155,149,153,153,154,87,97,104,107,114,108,151,158,136,109,79,59,47,76,69,87,113,114,110,96,88,111,86,143,154,152,153,153,89,99,106,109,115,112,168,158,127,107,91,67,70,97,79,100,116,112,100,95,117,133,88,119,161,153,155,155,90,100,106,110,114,118,176,155,118,96,80,64,76,93,96,110,128,104,69,116,151,136,108,96,160,155,155,156,91,101,107,111,113,124,181,150,120,99,82,72,82,92,114,117,131,145,145,123,126,139,117,81,147,160,155,155,92,101,107,112,112,133,188,154,123,99,89,75,85,100,123,130,141,159,156,145,136,116,103,65,124,165,157,158,95,102,108,114,112,130,192,157,129,109,88,76,85,103,130,142,155,162,156,146,135,111,86,55,118,168,158,161,97,103,107,114,113,129,194,164,140,117,88,83,88,104,138,154,162,163,155,145,126,108,83,54,138,165,159,161,98,104,107,113,114,132,198,164,145,124,103,96,95,109,147,166,168,161,148,136,122,101,72,71,165,159,161,161,98,104,107,113,115,129,190,166,152,132,120,99,104,124,154,176,171,160,147,129,112,91,53,108,171,158,162,162,99,104,108,115,118,122,177,172,160,143,133,116,109,141,149,171,168,157,146,123,103,74,55,150,164,161,162,162,98,104,109,115,119,117,164,176,165,151,140,129,114,134,145,163,163,153,140,119,100,61,89,171,160,162,162,163,99,104,109,115,120,118,149,186,168,158,144,130,119,129,141,162,158,143,136,118,97,61,137,167,161,162,163,163,101,104,109,116,120,120,139,195,171,157,141,125,122,127,143,155,146,132,121,116,86,86,168,162,163,162,163,164,101,105,109,115,121,122,137,201,165,150,141,131,129,132,141,143,128,120,107,96,77,147,164,163,164,164,164,164,100,105,109,115,122,122,139,193,154,150,148,145,139,133,136,138,124,112,100,66,128,166,162,164,164,164,164,164,102,106,110,116,120,120,142,187,155,157,154,149,149,137,131,131,120,105,77,79,167,158,162,162,164,165,165,165,101,105,110,116,122,121,144,189,173,159,149,153,157,138,122,119,112,97,56,114,168,158,162,163,165,165,165,165,100,106,112,117,122,122,145,185,179,158,151,160,158,132,118,112,111,85,53,143,166,160,164,164,165,165,166,166
7,178,179,180,181,182,182,181,181,181,181,180,179,179,178,178,176,175,174,173,172,172,171,170,168,136,75,54,57,179,180,182,183,183,183,183,183,182,182,181,180,180,178,177,176,175,174,171,169,169,168,170,169,151,116,105,101,181,182,184,185,186,186,186,185,185,184,183,182,182,174,165,168,172,169,160,157,155,159,171,162,139,120,148,149,183,185,186,187,187,187,187,186,186,186,187,188,186,174,160,163,170,165,154,147,143,148,161,150,134,131,158,141,185,186,187,188,188,188,187,188,192,196,199,198,191,176,165,164,155,144,143,137,133,127,129,136,139,133,132,124,186,187,189,190,192,191,186,189,197,203,203,197,190,182,177,169,149,131,140,145,138,131,124,121,117,125,128,141,188,189,191,193,202,203,193,188,193,196,195,191,188,185,181,168,149,135,138,141,135,131,124,111,102,115,123,138,189,190,192,199,214,211,197,186,187,192,192,190,187,182,176,162,143,131,124,119,115,115,111,105,102,108,124,151,191,192,195,208,220,211,191,174,177,185,186,182,174,163,150,135,123,125,129,130,134,139,140,140,145,151,157,157,193,194,199,217,219,206,183,170,173,170,166,160,150,141,131,121,118,130,162,176,178,180,180,179,178,177,174,157,194,195,208,222,218,206,192,181,172,162,161,161,156,149,143,140,134,111,119,163,186,187,186,184,181,179,178,173,195,199,218,224,220,215,210,195,170,163,165,163,158,148,142,137,127,97,70,116,180,188,187,185,183,181,179,179,196,208,224,225,223,221,217,195,162,154,154,148,143,137,134,129,118,94,64,101,176,189,188,187,185,183,181,180,203,220,227,226,224,219,211,188,161,147,132,119,119,130,137,139,138,115,90,136,183,189,189,188,187,185,183,180,217,227,228,226,222,214,203,184,166,151,135,126,137,155,156,148,145,130,132,179,190,190,189,189,187,186,184,181,226,229,229,225,217,207,193,177,166,164,152,146,154,157,149,139,131,115,141,190,193,192,190,189,188,187,185,183,229,229,227,222,212,196,180,173,178,178,161,150,147,141,133,123,111,103,151,193,195,194,192,190,189,188,186,184,228,227,223,217,205,191,185,189,192,183,162,141,125,117,106,98,102,129,179,196,196,196,194,191,190,188,186,185,226,222,216,209,201,196,195,192,187,172,148,122,111,128,123,130,157,182,196,198,197,196,194,193,190,188,187,186,219,214,208,204,201,200,193,182,174,159,136,120,143,182,188,192,198,200,200,199,196,196,195,194,192,190,188,186,209,205,204,201,196,193,185,174,164,142,121,144,188,203,204,203,203,202,202,199,198,197,196,195,193,191,189,187,201,197,196,193,186,180,173,161,140,118,136,185,204,205,204,203,203,202,201,200,199,198,196,195,193,191,188,184,198,193,188,179,169,163,153,135,116,130,180,204,205,204,204,203,202,202,200,199,198,197,196,194,192,186,177,173,192,184,173,159,147,138,123,111,131,179,204,207,206,205,204,203,202,202,200,199,199,198,196,194,188,155,117,126,174,163,149,134,120,109,107,136,183,205,208,208,207,207,205,203,203,202,201,200,199,198,194,184,154,96,56,55,154,144,132,119,108,121,155,191,206,208,208,208,208,207,205,204,204,203,201,199,196,187,164,125,83,53,40,36,150,143,126,106,116,177,203,208,208,208,208,208,208,207,206,204,203,201,195,180,155,121,86,59,46,42,39,37,161,150,125,100,124,196,210,209,208,208,208,208,207,207,205,203,198,186,156,115,78,53,43,39,36,37,37,36
4,151,157,163,165,168,173,175,177,180,182,184,187,189,191,193,194,194,194,197,200,199,200,202,202,202,203,203,204,152,157,163,166,169,172,175,178,180,182,183,186,190,193,192,192,196,199,198,197,202,201,203,204,204,204,204,204,153,159,164,167,171,174,176,179,180,184,185,189,186,193,196,197,193,186,197,202,199,206,205,204,205,205,204,205,154,160,164,168,172,175,178,180,182,183,181,193,204,186,178,217,196,146,128,181,165,157,206,206,205,206,207,207,155,161,165,169,172,176,180,179,182,201,179,169,196,193,137,182,188,142,95,131,159,114,154,216,205,208,208,208,154,161,165,168,173,178,182,176,203,230,205,174,137,146,129,153,185,130,90,160,160,118,109,213,209,210,210,210,155,162,167,169,174,178,179,180,226,196,207,166,129,100,107,166,202,125,137,180,138,96,94,206,211,209,211,211,158,162,167,170,174,179,175,194,215,166,202,138,106,104,101,138,175,170,191,168,144,84,108,213,209,211,212,212,158,163,168,172,176,180,174,210,210,176,191,140,100,120,136,140,171,189,169,176,169,132,130,222,210,213,214,214,155,163,169,173,176,180,178,223,201,182,175,154,83,142,200,176,174,168,151,198,182,169,143,202,216,212,216,216,157,164,170,173,177,178,190,220,176,152,140,121,75,99,165,155,155,121,131,206,198,191,158,139,214,216,216,216,157,164,170,173,179,174,208,220,178,154,135,107,86,78,90,105,106,119,161,186,201,193,176,132,156,224,215,218,158,165,170,175,181,177,229,213,183,167,143,121,100,90,91,99,146,209,203,188,184,167,166,154,115,199,223,217,159,166,170,176,177,186,239,212,195,171,138,120,106,99,140,194,222,220,198,184,169,144,145,147,113,184,227,217,161,167,171,177,173,205,246,216,194,163,142,137,112,141,207,222,220,218,196,176,157,134,125,127,122,212,221,219,161,167,173,178,174,221,247,215,186,164,160,145,137,194,209,213,218,208,188,166,147,127,121,108,173,227,218,220,161,166,172,178,173,227,244,209,191,185,176,154,177,202,209,212,208,196,175,154,138,123,109,130,219,218,222,222,162,168,172,180,175,231,244,216,205,196,179,170,196,204,213,208,191,180,161,144,131,118,104,194,226,218,223,224,163,168,174,178,174,223,244,225,213,196,178,167,189,203,202,195,179,167,151,134,126,103,148,229,220,221,224,225,163,170,174,179,175,212,242,222,212,197,174,158,179,191,189,182,166,156,140,125,113,113,211,225,221,221,224,224,164,170,175,180,179,200,236,212,196,184,167,165,178,189,188,175,155,144,130,117,102,189,227,222,224,225,224,225,165,170,176,181,181,198,227,195,188,180,172,180,172,179,180,167,150,136,124,99,162,228,222,223,224,226,225,225,165,170,174,183,180,195,223,192,197,188,196,192,168,165,172,157,138,131,105,132,223,220,224,224,225,226,226,226,166,171,176,181,182,206,223,207,200,196,192,182,162,150,163,148,130,121,103,201,224,222,225,225,226,227,226,226,167,172,177,177,210,227,200,194,207,200,183,169,155,142,149,139,129,101,144,228,220,224,224,225,226,227,227,227,167,172,172,192,231,219,223,159,166,201,174,160,151,134,135,131,126,92,163,231,220,224,225,225,226,226,227,228,167,173,176,224,222,218,223,220,143,146,162,156,141,119,130,124,120,93,170,231,220,224,226,227,227,228,228,229,170,167,204,231,212,221,221,220,221,134,123,147,131,117,125,118,116,91,176,230,222,225,225,227,228,229,229,229
1,76,16,50,63,71,80,97,112,123,128,133,136,138,141,146,149,151,153,156,158,159,160,160,162,163,162,163,164,68,17,54,64,71,81,99,113,124,130,134,137,140,144,150,147,121,154,157,159,159,161,161,163,164,164,164,165,57,21,57,65,73,84,104,117,125,131,137,139,141,145,160,145,87,140,138,159,161,163,163,165,165,165,165,165,46,27,59,66,75,85,106,119,126,132,138,140,147,144,156,140,93,137,101,153,163,165,166,166,166,166,166,166,35,32,60,68,77,88,109,120,128,135,139,141,161,132,139,133,98,146,101,145,165,166,167,168,168,167,167,168,25,38,61,69,78,90,111,122,129,135,140,142,168,122,144,136,102,147,103,134,166,167,168,169,169,169,169,169,17,43,63,70,79,93,113,123,129,136,144,143,170,110,141,134,100,149,112,130,167,168,170,171,171,171,171,171,15,49,65,72,81,96,115,124,132,137,158,127,158,104,145,135,99,144,110,127,170,171,172,173,172,173,173,173,16,54,66,73,83,98,116,125,133,145,152,113,148,106,163,137,98,151,117,123,172,173,174,174,174,175,175,174,20,58,67,73,83,101,117,126,134,162,136,107,141,109,166,131,103,168,124,124,172,174,175,176,176,176,176,176,24,60,68,75,85,104,118,128,136,173,122,121,143,109,147,111,105,162,115,127,173,176,177,178,177,178,178,178,30,63,69,76,87,105,120,129,142,171,108,118,128,97,135,102,117,155,108,131,174,177,179,178,179,180,179,180,35,64,69,77,87,106,120,129,155,167,106,110,132,134,131,147,153,152,104,134,175,179,180,180,180,181,181,181,41,66,71,79,89,109,121,129,169,156,113,118,156,146,132,151,144,137,100,132,178,180,181,182,182,181,181,182,47,67,72,79,91,111,121,131,182,166,150,145,169,162,154,142,128,118,95,130,179,180,181,183,183,184,183,183,51,67,72,80,92,112,122,142,189,155,147,144,139,141,167,166,150,123,92,127,180,181,183,184,185,185,185,185,57,68,74,81,93,113,123,161,180,139,118,112,98,115,164,168,158,136,100,120,182,182,183,185,185,186,186,186,61,68,75,83,95,116,125,173,172,139,130,136,131,170,179,170,145,126,94,94,181,184,185,186,186,187,187,187,64,69,75,83,97,117,125,172,178,152,135,142,170,197,184,161,134,103,85,75,169,185,187,187,188,188,188,188,66,69,75,83,98,116,126,168,188,165,145,143,174,202,185,153,126,92,76,73,167,187,187,188,189,189,189,189,68,70,77,84,99,116,127,158,190,166,148,146,166,194,178,147,116,90,74,88,181,188,188,190,190,190,190,191,68,71,78,86,102,118,129,148,186,164,154,148,155,181,169,142,109,88,73,131,187,190,190,190,192,192,192,192,69,71,79,86,103,118,129,140,179,167,163,156,165,175,153,125,100,83,78,169,188,191,192,192,193,193,194,193,68,71,78,87,105,118,128,138,165,165,160,150,157,161,136,112,94,79,95,185,190,192,192,193,194,194,195,194,68,71,78,85,104,118,129,139,151,163,156,147,137,137,126,107,94,76,114,187,191,192,194,195,195,195,195,195,68,71,77,84,104,116,128,137,145,162,157,145,136,135,131,115,93,72,138,186,188,191,193,194,194,194,194,194,68,70,76,84,104,115,126,137,160,167,161,156,146,136,125,113,88,69,149,187,188,190,192,193,194,195,195,195,68,69,75,84,104,115,127,138,181,179,141,157,147,133,111,99,85,66,136,187,188,191,193,194,195,195,195,195
3,142,150,156,160,162,166,170,173,175,177,177,179,180,181,181,181,184,183,181,182,182,181,181,181,180,179,178,177,146,154,159,163,167,170,174,178,179,181,183,184,184,185,186,190,163,179,188,185,187,186,185,184,183,182,181,181,150,158,163,166,170,175,178,181,183,186,187,188,189,189,190,196,137,140,199,189,191,190,190,189,188,187,185,184,153,161,167,170,174,179,182,186,188,190,191,192,193,194,195,195,137,111,194,194,194,195,193,193,192,190,188,188,156,164,171,173,177,182,186,189,191,193,195,196,197,197,198,202,140,99,183,201,197,197,196,196,195,193,192,191,159,167,174,177,180,184,189,193,194,197,198,199,200,201,201,206,150,96,171,209,199,200,200,199,198,196,196,195,162,170,176,179,183,188,192,196,198,200,200,202,204,204,203,220,169,99,155,214,203,204,204,202,201,200,198,198,164,172,178,181,186,190,194,198,200,203,204,205,205,207,194,198,158,94,142,216,205,207,207,206,204,203,202,201,167,175,181,184,188,193,197,201,202,204,206,209,209,230,206,157,120,106,135,216,209,209,209,209,208,207,205,204,170,177,183,187,191,196,200,203,204,207,210,201,177,216,230,182,112,157,145,206,215,212,212,212,211,210,208,206,172,179,184,188,194,198,201,205,208,207,222,215,180,172,237,192,159,200,117,178,223,214,215,213,213,212,210,209,174,181,186,190,196,199,203,207,210,191,187,226,216,168,209,190,170,181,105,125,223,216,216,216,215,213,213,211,175,182,188,192,197,201,205,208,219,212,184,177,221,178,183,188,145,180,138,104,173,227,216,217,216,217,215,214,177,184,190,194,199,202,207,212,210,222,215,158,171,195,155,190,145,162,168,126,127,226,217,218,218,217,216,216,178,185,191,195,200,204,209,214,203,166,188,140,118,174,123,190,189,130,166,135,126,224,221,221,220,219,219,218,180,186,192,196,201,206,210,214,213,161,165,142,105,154,127,126,127,90,150,140,122,223,223,222,221,220,220,218,181,187,193,198,202,207,211,214,222,195,149,141,118,137,175,117,72,108,173,148,111,210,228,222,222,222,222,221,180,186,191,197,202,207,212,215,218,185,140,123,110,97,142,126,112,149,187,150,106,195,234,223,223,224,223,222,181,186,192,197,202,206,211,213,217,207,169,131,111,101,113,168,182,184,167,136,113,205,231,223,224,223,224,223,181,188,193,198,203,207,211,213,221,215,176,138,131,137,148,219,225,197,163,120,125,224,226,223,224,224,222,218,183,190,195,199,203,207,212,214,219,217,190,158,146,140,160,221,216,183,156,116,145,235,229,226,228,207,190,216,178,185,192,197,203,209,214,218,221,216,194,167,147,143,156,213,210,174,144,110,167,229,210,212,211,175,172,218,127,128,132,136,141,145,147,153,157,201,198,169,159,159,146,205,203,166,133,110,161,208,185,171,204,144,179,208,123,124,126,127,126,126,127,128,121,163,202,178,167,165,140,184,189,154,123,117,186,179,190,166,177,133,195,198,125,126,128,129,130,131,135,137,131,144,204,183,165,159,132,151,167,130,112,154,192,170,175,181,143,142,202,194,125,127,128,127,130,130,130,133,125,179,226,183,161,147,124,133,135,117,123,174,186,171,171,172,133,169,194,194,124,126,128,128,130,130,130,132,127,201,224,181,159,138,127,129,125,107,160,172,159,171,166,158,156,176,190,195,123,125,128,128,127,129,131,129,134,203,211,181,161,148,135,125,117,109,187,175,129,165,167,158,173,169,199,191
18,157,160,163,163,165,167,169,171,171,172,174,176,177,177,179,181,180,181,182,184,183,184,184,183,182,182,183,182,159,160,164,165,166,168,171,172,173,174,175,176,177,178,180,182,183,182,181,183,185,185,186,185,185,184,183,183,160,162,164,167,169,170,170,173,173,175,176,176,177,179,180,185,187,182,182,183,182,184,187,187,187,184,183,184,161,162,167,168,169,171,170,174,176,176,177,177,180,180,182,169,163,189,183,186,185,185,188,187,187,187,186,186,161,163,169,167,169,171,172,173,175,178,179,181,185,180,194,166,110,150,191,185,186,189,186,185,187,187,188,188,161,163,168,168,169,170,173,174,175,178,181,172,155,179,186,179,115,66,163,189,164,152,181,189,188,189,187,187,161,162,167,169,170,170,175,177,177,181,197,174,128,131,192,161,133,81,98,144,135,115,119,197,187,189,188,188,161,163,167,169,169,171,173,172,165,198,199,174,136,110,210,180,164,125,83,89,118,113,71,174,193,188,189,187,163,165,168,170,170,169,189,177,125,173,202,167,132,131,208,206,186,135,88,72,100,101,61,141,201,188,190,189,164,166,168,171,168,186,212,177,121,156,203,167,121,151,196,199,183,135,84,58,78,91,56,142,202,188,190,190,165,167,168,170,168,195,214,179,122,142,203,171,109,167,196,197,178,132,82,47,64,75,56,162,199,189,191,191,166,168,169,170,172,184,203,182,126,129,202,168,95,129,180,206,174,125,78,48,54,58,72,183,195,189,192,191,166,168,171,167,180,199,181,179,137,109,179,154,93,50,144,214,164,119,71,51,48,48,101,201,190,193,193,194,165,168,171,173,187,178,154,144,129,72,119,119,79,4,164,217,162,111,66,52,54,52,119,204,188,193,193,195,167,168,167,184,201,161,146,113,92,58,87,104,44,60,216,199,157,113,71,45,54,51,136,205,192,195,195,195,168,171,168,186,211,176,150,122,116,60,88,105,125,199,216,188,150,114,75,57,59,63,177,199,194,196,196,196,169,172,165,200,208,173,150,127,118,96,102,164,230,200,184,178,144,103,70,61,47,90,204,192,195,195,195,194,170,169,169,216,199,173,151,131,128,130,153,230,223,192,161,161,132,89,66,64,58,162,200,192,193,194,193,191,170,167,181,221,192,173,162,142,139,133,207,233,214,182,145,145,120,76,70,59,142,203,192,195,194,194,193,192,171,166,191,221,191,182,173,142,145,182,230,222,200,173,137,128,108,73,58,111,204,192,195,195,196,195,194,194,171,167,192,222,195,188,178,145,168,214,217,211,192,156,128,116,95,64,71,187,197,194,195,195,196,196,195,195,171,169,186,218,199,192,177,155,183,214,204,189,186,143,120,105,83,52,139,204,194,196,195,196,196,196,196,195,172,170,184,218,201,190,174,170,182,209,189,181,160,139,106,95,70,78,196,194,196,196,196,197,198,196,194,196,173,168,189,214,193,182,171,175,180,197,174,177,143,132,96,86,52,129,208,193,196,197,197,198,198,197,195,194,172,167,196,196,177,174,167,174,184,183,161,175,155,113,90,77,57,176,199,195,196,196,197,198,198,198,196,195,172,168,198,175,166,171,168,171,185,175,161,174,153,106,84,59,104,206,191,196,197,196,196,197,198,196,196,196,171,169,209,190,178,180,182,181,190,167,157,162,135,99,74,69,182,198,196,198,198,197,198,198,199,197,196,197,169,172,220,201,180,185,191,186,194,149,147,146,116,90,59,147,206,195,197,197,198,199,199,199,199,198,197,197
23,174,177,182,184,185,187,189,190,190,192,193,192,192,191,191,192,193,193,193,194,192,193,193,192,193,191,192,190,176,179,184,186,187,189,190,191,193,192,192,191,192,194,194,196,197,196,198,194,193,194,195,194,194,193,193,193,180,183,185,190,190,192,192,193,197,195,194,195,197,193,193,190,177,182,197,201,197,198,199,198,198,197,195,194,182,184,189,191,192,195,196,197,197,199,202,200,194,210,227,201,174,154,171,154,185,204,202,201,200,201,199,196,184,187,191,193,195,197,199,200,199,202,203,200,216,229,212,181,147,145,122,90,188,207,203,204,203,202,202,201,186,190,193,195,198,201,201,201,201,202,204,221,221,170,160,114,131,138,136,180,207,203,206,204,205,206,205,205,188,191,194,197,199,201,202,203,205,202,204,214,185,117,110,165,216,213,217,213,206,208,208,207,207,209,208,207,192,194,198,201,201,203,204,204,207,205,207,202,167,128,119,232,206,206,197,198,212,208,211,212,211,210,210,209,194,196,200,202,203,205,206,206,208,209,211,204,166,163,111,205,206,221,202,114,180,217,211,212,214,213,211,211,194,199,202,204,205,208,209,210,211,210,209,211,189,164,142,222,239,228,199,96,134,230,212,215,214,213,212,211,197,202,203,204,208,209,209,211,211,212,209,218,200,210,239,234,212,207,189,75,96,165,171,220,213,214,212,212,197,201,204,205,209,209,210,212,213,212,211,209,216,231,222,210,215,201,152,83,25,109,118,222,218,215,215,214,200,201,205,209,210,210,212,213,214,214,208,209,220,228,230,210,208,194,96,61,16,76,67,113,229,219,217,218,201,202,205,210,210,210,213,215,214,218,216,215,216,221,213,201,209,181,83,51,22,49,66,36,120,231,216,218,203,204,207,210,211,212,215,217,214,226,231,207,210,210,211,212,196,134,74,59,25,34,63,66,55,216,222,219,203,205,209,211,213,214,216,218,217,218,224,211,215,217,203,172,119,64,80,66,28,29,61,52,120,231,219,220,204,206,209,210,214,216,216,218,219,209,218,213,208,187,151,101,34,45,84,61,21,45,71,60,202,232,221,221,203,208,210,212,215,217,217,218,221,211,215,208,201,187,127,71,27,71,67,24,18,53,60,134,236,222,224,223,203,207,210,213,215,216,218,219,221,213,211,205,212,190,97,43,29,43,19,18,35,50,67,208,231,225,226,225,203,207,209,212,212,214,217,217,219,212,205,205,216,166,94,63,22,17,23,39,61,46,121,238,224,227,228,227,205,208,210,212,213,215,216,217,218,211,206,213,219,171,108,77,26,23,58,73,81,56,177,241,227,227,227,227,204,207,210,213,216,217,217,216,220,209,203,224,213,173,121,84,48,31,70,83,86,62,198,236,226,226,226,226,203,207,211,213,217,217,218,217,220,208,196,224,211,172,127,88,62,34,71,86,81,78,222,230,227,227,226,226,202,207,211,212,216,217,218,218,220,206,196,215,206,168,122,85,67,40,67,91,65,118,241,226,229,228,228,227,205,208,210,212,215,217,218,218,223,195,192,212,200,160,120,83,66,49,59,81,57,194,235,225,227,227,229,229,206,210,215,216,220,224,225,225,230,191,207,212,186,153,116,83,65,58,54,59,154,243,231,232,231,232,230,225,116,122,129,133,136,139,144,152,147,171,231,216,181,142,108,83,66,63,48,135,217,209,212,220,221,214,211,209,80,81,83,82,83,84,87,87,71,188,244,215,178,130,106,85,64,62,72,97,112,133,144,177,195,181,191,190
7,133,133,134,134,134,135,134,134,133,133,133,133,132,132,131,130,130,128,127,127,126,127,116,55,44,35,37,56,135,136,135,136,137,136,136,137,136,136,135,135,134,133,133,133,132,129,128,129,128,126,132,73,36,24,32,46,136,137,137,138,140,139,137,138,138,138,137,137,136,135,134,134,133,131,131,130,130,129,134,95,21,15,30,36,138,140,141,140,141,141,140,139,140,140,139,139,139,137,135,135,135,134,133,132,131,131,130,125,28,4,20,31,140,141,142,142,142,142,141,142,142,142,141,141,140,142,139,138,137,136,135,134,134,131,131,134,93,43,25,42,141,141,143,144,144,143,143,144,144,144,142,141,141,130,129,134,132,126,120,124,115,131,129,129,95,97,109,97,143,144,146,146,147,146,146,145,144,144,143,144,144,125,114,133,139,125,114,116,103,140,126,114,60,115,134,122,145,147,148,148,147,148,148,148,149,153,159,158,147,128,122,128,115,116,101,100,94,92,92,122,82,128,91,108,146,147,148,149,149,146,144,153,162,165,163,154,145,136,136,128,93,92,117,105,100,90,87,90,80,103,79,135,147,150,151,150,165,156,146,149,155,154,150,147,146,146,139,123,106,99,116,113,107,108,94,72,75,106,89,137,148,151,149,162,178,164,153,145,150,152,151,150,148,144,142,120,107,100,92,83,81,79,69,64,57,68,92,127,149,151,151,176,178,164,139,130,140,152,151,148,139,127,116,98,87,79,73,78,83,90,89,95,105,113,133,139,153,151,160,183,174,156,127,129,139,129,124,116,105,98,86,73,70,129,149,141,145,147,145,146,144,144,130,81,155,151,175,181,170,151,142,138,126,117,121,124,119,114,109,116,95,64,132,152,146,144,143,142,140,138,140,86,151,159,186,177,175,172,170,145,125,130,131,129,120,110,108,104,90,37,26,138,151,146,144,144,142,140,141,127,148,174,185,180,179,179,176,141,110,122,120,116,108,103,96,87,72,46,11,112,157,146,146,145,143,141,140,140,163,185,184,181,178,175,164,132,116,104,83,70,79,93,102,108,110,54,38,139,151,148,148,146,145,143,141,139,183,186,184,182,177,168,156,140,123,107,89,89,117,134,122,111,123,76,132,155,149,149,149,147,145,144,141,140,183,185,185,180,170,164,148,128,127,129,109,118,128,117,107,100,95,65,146,155,151,151,150,148,146,145,144,141,184,184,182,178,166,147,125,132,147,137,116,115,112,105,99,92,68,57,154,155,153,151,149,149,148,146,145,143,186,183,179,173,155,142,145,160,157,141,120,97,84,72,60,48,49,117,160,153,155,153,151,150,149,148,145,143,183,177,171,162,155,157,159,154,146,125,99,71,69,82,56,97,141,160,156,156,155,154,152,150,148,147,145,144,176,169,164,161,161,161,147,137,134,117,90,71,138,165,156,165,162,158,158,156,155,155,154,152,149,148,147,146,165,163,165,159,155,154,140,136,127,95,64,138,170,161,163,159,159,160,159,157,156,155,155,153,151,149,147,145,158,154,159,153,145,141,136,123,94,58,127,172,161,163,161,161,160,160,160,158,158,156,155,153,152,149,149,141,157,152,148,138,129,127,116,92,55,116,172,162,162,162,162,161,160,160,158,156,156,155,155,153,151,154,149,131,153,145,134,118,111,103,80,57,117,171,165,164,163,163,161,161,160,159,158,157,156,155,154,151,153,133,128,141,134,123,107,92,83,69,53,120,174,163,165,165,165,163,162,161,160,159,158,158,157,155,154,153,145,52,34,92
10,185,186,186,186,187,188,188,189,188,187,188,188,188,186,185,184,182,182,179,180,179,177,176,175,174,172,170,171,190,191,191,192,192,192,191,193,192,191,191,191,190,190,188,186,185,184,186,176,175,180,178,176,174,174,173,171,196,195,196,198,198,197,198,198,197,197,196,195,194,193,192,189,189,183,210,175,138,185,179,177,177,176,175,174,200,201,200,202,203,201,202,201,201,201,200,199,199,197,195,193,193,188,215,183,124,182,182,180,179,178,176,175,206,206,206,206,206,207,206,205,205,206,205,204,204,202,199,198,198,193,217,182,123,181,188,183,182,180,178,177,210,210,210,210,212,211,209,210,210,211,210,209,207,206,204,202,202,199,218,172,118,183,193,187,185,184,182,180,215,215,214,215,216,216,214,215,216,215,214,212,211,210,208,207,206,203,224,187,123,185,198,191,189,188,185,182,219,220,219,219,220,220,220,219,220,220,220,217,216,214,213,212,209,210,231,181,157,189,200,195,193,191,188,185,221,221,223,223,224,224,223,223,224,225,223,221,221,219,217,216,212,224,226,204,183,150,209,198,196,194,191,189,224,225,226,227,227,227,227,226,227,227,226,225,225,223,221,219,213,200,205,224,173,118,211,202,199,197,195,193,227,228,229,230,229,228,229,229,229,230,229,228,227,227,225,224,222,198,174,187,188,107,163,218,202,201,198,196,231,231,231,232,232,232,232,231,233,233,232,231,229,229,224,220,237,234,197,154,144,138,103,195,211,204,201,200,234,233,234,235,236,236,235,236,236,237,236,236,237,233,203,170,164,206,214,209,161,127,108,144,221,204,205,205,236,236,237,238,238,238,238,238,238,238,238,219,192,221,224,190,128,87,200,218,145,105,96,145,223,209,208,206,239,240,240,240,241,240,240,241,240,238,237,218,178,163,238,217,168,76,86,131,138,116,92,158,227,212,212,209,242,242,242,242,243,243,242,242,243,240,235,235,222,171,196,239,183,122,74,84,195,159,96,166,229,216,214,210,243,243,243,243,244,244,243,244,243,242,209,200,228,194,147,218,194,137,87,114,195,191,106,164,233,218,216,213,244,245,245,245,246,245,246,247,244,243,221,160,182,187,101,161,204,131,95,127,184,191,105,155,234,218,218,216,246,247,247,248,248,248,248,248,247,235,210,166,143,167,113,122,207,176,117,137,183,153,96,169,235,220,220,217,249,249,249,249,249,250,250,250,246,238,233,208,149,155,154,121,189,215,146,125,165,122,97,206,232,223,221,219,249,250,249,250,251,251,250,251,248,241,249,219,176,154,152,138,197,198,131,113,150,110,116,234,227,225,223,222,250,251,250,250,251,251,251,252,252,239,249,235,199,168,160,183,244,224,165,139,142,101,152,244,227,227,225,223,252,253,252,252,254,254,255,255,255,240,235,235,210,182,173,194,242,237,207,165,138,94,188,243,229,229,226,223,253,253,254,254,254,255,255,255,255,243,226,232,218,206,187,193,235,228,189,151,126,102,223,238,232,230,228,225,252,252,252,253,254,255,255,255,255,254,225,224,227,222,194,182,223,205,173,140,102,134,246,234,234,231,229,227,251,253,253,253,254,255,255,255,255,255,234,209,222,213,193,168,194,185,154,128,83,188,246,232,233,230,228,225,253,253,255,255,255,255,255,255,255,255,253,220,215,205,188,167,174,185,153,109,116,239,236,234,232,230,227,230,254,255,255,255,255,255,255,255,255,255,254,235,216,198,189,178,168,181,148,93,182,251,235,235,233,230,231,191
1,101,111,92,72,73,63,79,19,59,92,108,119,166,129,108,150,150,157,158,162,166,170,172,174,176,178,180,181,104,115,90,77,72,70,77,19,67,95,115,123,168,144,93,150,115,146,164,164,168,171,173,177,178,180,181,182,107,117,85,81,68,78,70,21,75,92,155,135,135,168,104,165,113,111,169,165,170,171,175,178,179,180,182,184,111,117,83,85,69,86,60,25,79,94,168,145,122,171,109,166,144,96,166,168,171,173,177,179,180,182,184,185,115,114,82,88,67,92,50,31,86,97,170,153,121,190,137,149,159,95,156,174,172,175,178,180,182,185,187,187,119,113,85,92,69,97,39,40,88,97,169,160,123,199,147,143,184,110,139,179,174,178,180,183,185,188,189,190,123,110,89,96,71,102,33,44,123,123,160,185,128,188,151,148,199,129,119,181,177,180,182,186,189,191,190,191,127,109,94,94,75,103,27,52,165,131,151,188,126,175,157,137,192,144,110,179,179,180,185,188,190,192,192,193,130,107,98,92,81,100,22,63,168,125,146,187,122,173,173,129,188,155,107,177,182,183,188,191,192,194,195,196,130,104,101,89,89,96,21,69,174,130,140,196,121,166,187,126,193,165,109,172,184,186,190,192,194,196,197,196,131,103,107,87,97,85,23,73,181,154,135,201,133,140,189,118,179,170,103,164,190,188,190,193,196,197,198,198,127,104,112,85,106,74,28,76,176,158,118,199,139,107,179,109,159,182,104,155,194,187,192,196,198,199,199,199,126,105,113,81,114,62,33,79,162,165,110,180,151,142,165,156,174,154,99,135,196,189,193,196,198,201,200,200,124,106,113,81,119,51,40,81,159,185,110,157,178,152,134,171,172,113,85,117,197,191,195,198,199,201,201,204,121,109,113,80,122,41,48,83,160,172,135,169,169,167,158,199,187,122,78,95,190,194,197,199,200,201,204,205,120,113,112,81,122,31,55,84,162,178,177,157,156,163,171,187,180,151,98,72,177,198,196,200,201,202,203,205,119,116,109,87,122,24,61,86,178,198,168,143,141,148,155,151,176,180,135,74,156,204,196,200,201,203,204,206,115,122,107,95,118,19,65,89,187,191,153,132,141,152,169,185,191,199,171,100,126,204,197,201,202,204,205,205,114,126,104,103,111,18,70,89,174,190,145,126,150,152,178,213,196,200,184,126,106,201,198,201,202,204,205,205,117,128,99,110,99,18,77,89,152,196,156,135,141,161,182,212,208,188,170,121,103,200,198,202,203,205,206,207,118,129,93,118,90,19,79,93,127,192,164,142,138,167,184,214,209,185,158,106,111,204,198,201,204,206,206,207,118,132,91,126,79,22,80,98,111,178,181,154,136,160,183,209,206,180,153,101,114,205,197,201,204,206,207,207,122,135,89,136,69,26,82,97,106,159,189,164,149,147,176,204,195,170,151,98,114,205,198,203,205,206,206,207,127,137,89,145,59,31,83,96,108,132,181,172,164,148,167,197,185,161,143,93,121,205,198,203,205,206,206,207,132,138,91,149,48,35,81,93,107,118,154,179,170,161,155,174,178,153,137,89,139,203,196,200,201,202,204,204,137,134,93,151,37,39,78,91,105,117,130,174,174,164,146,150,164,139,127,93,166,199,195,198,199,200,203,203,140,129,99,150,27,42,77,89,101,118,120,164,174,156,140,140,140,134,125,93,179,193,193,197,199,201,203,203,143,124,104,144,25,48,73,81,92,110,113,154,169,144,143,148,142,134,116,89,180,189,189,194,196,198,200,198
2,172,171,172,173,174,174,174,173,173,173,173,173,173,173,173,172,172,171,171,170,169,166,167,168,163,68,30,53,175,176,177,175,175,176,175,176,176,177,177,178,176,175,176,175,171,177,174,176,169,170,171,176,152,48,46,58,181,182,182,180,180,181,181,181,181,183,183,182,177,184,192,154,95,139,158,141,182,177,174,176,167,73,56,52,184,184,185,183,183,184,184,185,186,184,182,186,195,190,145,99,65,73,101,71,124,171,178,175,181,106,55,60,188,187,188,187,187,187,187,189,188,188,202,212,170,108,77,64,57,59,69,58,49,136,188,176,187,125,51,48,191,191,191,190,190,191,191,193,187,201,218,190,102,53,58,55,48,41,54,57,44,133,191,179,187,152,58,29,193,194,195,193,194,194,195,195,190,222,192,109,65,43,46,52,44,39,43,51,93,180,186,182,183,184,65,11,197,197,198,197,198,196,198,195,204,233,144,66,55,47,40,46,51,66,117,156,190,191,188,186,186,186,111,91,199,199,200,201,201,199,200,193,222,215,125,74,56,66,52,54,67,153,205,196,193,192,191,189,189,191,152,133,199,202,204,204,203,204,201,206,229,182,103,57,53,60,52,80,174,202,194,195,196,196,193,192,190,203,108,146,203,204,205,205,205,206,199,221,224,163,101,62,56,51,58,126,219,198,200,199,198,198,198,196,193,200,126,182,205,208,209,208,206,207,206,237,214,154,103,82,70,56,55,151,214,205,205,201,201,199,199,198,196,196,178,160,207,208,210,211,210,205,219,249,198,137,93,78,75,71,64,194,212,206,206,205,205,203,203,200,198,198,201,168,209,209,211,212,212,204,233,241,185,124,81,72,67,72,91,212,210,209,207,207,206,206,206,203,201,203,198,192,211,212,212,212,209,205,248,227,176,123,83,69,66,68,101,217,209,209,207,207,207,206,205,205,204,204,201,193,212,213,213,215,206,225,247,210,162,112,83,72,76,62,123,227,211,211,210,209,209,207,209,209,208,210,209,202,214,214,214,216,209,245,236,196,149,104,81,69,67,54,108,226,212,213,213,213,215,215,207,195,186,177,188,210,216,216,219,209,213,251,228,186,139,96,76,63,59,73,63,146,230,214,220,217,198,182,170,166,161,148,114,151,217,217,222,205,229,245,218,173,128,95,73,50,63,76,79,71,184,216,197,172,164,165,177,171,144,123,107,133,219,222,216,211,246,238,207,156,116,93,65,45,73,78,86,94,95,124,141,163,181,172,147,107,118,175,203,210,221,224,208,230,246,229,195,147,111,89,55,58,90,95,109,111,110,118,147,170,156,119,86,125,211,218,215,213,225,218,213,247,242,221,180,140,107,88,57,72,103,112,118,114,115,122,135,116,105,132,173,217,217,213,212,211,221,213,241,243,232,210,172,132,95,84,65,87,109,120,121,115,105,95,87,125,192,224,226,219,218,216,215,214,207,227,245,237,226,206,164,120,90,84,74,103,116,119,112,99,81,89,162,226,226,221,220,220,220,219,219,218,220,234,235,227,211,178,136,103,90,80,83,106,111,113,95,78,140,206,231,223,223,225,224,222,221,220,220,220,229,231,225,203,178,147,116,94,88,80,90,98,104,95,75,159,236,231,224,224,225,226,226,226,224,222,222,221,225,224,205,177,155,135,107,91,85,88,89,88,85,97,179,237,227,228,228,227,228,227,228,227,225,224,221,221,223,213,189,150,138,112,87,90,91,90,88,81,140,219,238,229,231,231,230,231,230,229,228,227,226,226,224,222
5,148,148,149,149,150,152,152,152,154,157,155,157,158,158,156,162,158,157,157,156,156,156,156,156,154,153,151,155,151,151,153,155,155,156,156,157,157,157,159,159,159,160,166,137,160,160,158,159,158,156,156,157,158,154,162,118,156,157,158,159,158,159,161,161,161,161,161,166,163,166,186,78,146,166,162,161,159,161,161,158,158,163,134,41,159,161,162,163,163,164,165,165,166,166,166,162,161,194,162,78,161,168,165,165,174,124,151,162,160,153,56,30,165,166,166,167,168,168,169,169,171,166,193,123,136,212,111,118,180,167,165,165,149,82,150,166,171,110,27,43,169,170,171,173,173,173,173,173,174,166,209,129,139,192,87,161,176,173,155,150,93,113,173,168,166,72,40,66,173,175,175,176,177,178,177,176,178,172,209,138,143,157,96,184,177,156,146,103,99,175,173,173,162,61,56,63,178,179,179,179,181,181,181,181,182,179,202,133,132,117,126,190,147,135,118,89,173,178,176,175,177,93,61,63,181,182,183,183,184,184,185,185,185,182,214,150,105,90,168,143,107,107,81,158,189,179,180,178,181,112,57,57,184,186,186,187,188,188,188,187,187,187,218,164,102,103,154,101,93,71,147,193,183,183,181,180,185,138,51,37,188,188,189,189,190,190,190,190,190,191,209,153,102,102,106,101,79,119,204,188,187,187,183,183,187,167,50,31,189,190,192,193,193,192,193,193,195,193,200,170,102,85,84,102,79,167,194,183,197,190,186,188,190,177,126,121,192,193,195,195,196,195,195,195,196,194,201,190,124,79,75,83,97,178,125,123,165,197,194,190,187,192,123,164,194,195,197,198,198,198,197,198,199,199,199,201,145,88,80,77,94,105,109,142,143,156,181,195,196,195,121,202,197,198,199,199,201,200,200,201,202,202,204,215,177,116,81,83,79,93,99,121,163,161,157,169,173,166,176,150,200,201,201,201,203,203,204,203,203,203,207,223,198,139,87,78,90,83,71,106,131,133,153,160,136,126,154,118,202,202,203,204,205,205,205,205,206,207,206,228,211,147,94,71,86,71,118,200,188,171,146,142,177,166,108,126,203,204,205,206,206,206,206,208,209,209,208,233,215,154,102,70,68,102,222,206,211,201,164,183,169,116,160,193,205,206,207,208,209,208,209,209,211,208,207,237,214,158,109,72,47,110,191,218,201,152,166,159,98,150,214,200,207,208,209,210,211,211,210,210,211,210,209,239,211,156,110,66,57,82,87,175,145,151,162,102,109,210,205,203,208,210,210,211,211,212,212,211,213,209,218,239,204,155,110,65,63,90,94,95,120,151,116,118,204,208,207,206,209,211,211,212,212,213,213,213,215,204,219,237,200,155,111,71,68,93,100,114,121,115,112,208,212,207,208,206,210,211,213,214,214,215,215,214,216,205,221,232,195,152,109,74,74,103,109,115,101,97,198,217,209,212,209,208,211,213,215,215,216,216,217,217,214,205,228,224,191,148,106,73,73,103,112,109,86,177,224,209,213,212,212,211,212,214,215,216,216,217,217,222,207,212,240,218,185,140,103,78,73,105,116,90,122,228,215,215,216,215,213,211,214,216,217,217,218,218,219,222,200,236,237,211,179,140,100,80,82,111,107,77,184,225,218,219,217,217,214,212,216,217,217,218,219,219,223,208,213,243,225,206,184,137,96,82,88,109,83,132,229,217,219,219,217,217,216,214,216,218,218,219,220,221,219,201,227,225,218,202,165,115,89,79,91,94,112,217,224,222,221,219,218,217,216,214
12,169,169,171,173,174,174,177,177,178,178,178,177,177,177,176,176,175,174,174,174,173,172,172,171,170,168,168,168,170,171,173,174,175,177,178,178,179,179,180,179,179,178,178,179,177,175,175,174,174,174,173,172,171,171,170,169,171,172,174,176,177,179,179,180,180,181,181,181,181,181,181,181,179,177,177,177,176,176,175,174,174,173,171,171,173,174,175,178,179,179,181,182,182,182,182,183,182,182,181,180,180,180,180,179,178,178,177,176,175,174,173,172,174,176,178,180,180,181,183,184,184,184,185,185,185,185,184,182,182,181,182,180,180,179,179,178,177,175,175,174,175,178,179,181,182,184,185,186,186,187,187,185,182,175,178,185,175,153,150,180,182,181,181,180,179,178,176,175,178,179,181,182,184,186,187,187,188,188,188,193,180,144,127,173,166,126,85,145,165,163,178,182,180,179,178,177,180,181,183,185,187,187,189,189,189,190,190,197,179,135,88,136,160,124,89,98,133,102,117,176,181,180,180,179,181,183,186,187,188,188,190,190,192,187,169,188,169,124,78,123,184,142,106,92,122,94,73,135,185,181,181,181,182,183,187,188,189,190,191,193,204,188,143,159,175,132,72,133,215,155,118,114,131,97,69,116,187,184,182,182,184,185,187,189,190,191,191,207,220,191,148,125,201,159,79,120,198,138,102,153,144,105,64,125,189,185,184,184,186,186,188,190,192,194,193,214,214,193,146,103,178,148,92,102,135,114,116,178,133,81,58,138,190,187,186,185,187,188,189,192,193,194,198,222,198,169,124,86,87,99,88,96,139,170,165,140,96,58,68,166,190,188,187,187,187,189,192,194,194,196,217,218,186,132,103,77,47,66,139,171,176,176,160,130,115,74,109,190,190,189,188,188,189,190,193,194,195,199,230,210,169,130,119,70,57,144,203,203,182,165,142,121,115,82,127,195,192,191,190,189,190,191,194,196,196,202,232,210,154,146,141,92,134,209,215,205,181,158,140,116,100,72,137,197,194,193,192,190,191,193,195,197,197,209,234,214,181,163,143,158,201,217,213,198,178,151,132,109,84,62,151,198,195,194,193,192,192,194,196,198,198,215,234,221,200,184,151,180,208,215,204,191,170,139,121,99,75,54,145,199,195,195,194,193,193,194,197,199,199,214,232,224,208,189,160,189,204,206,192,179,156,129,111,89,68,51,145,200,197,197,195,194,195,196,198,201,201,211,228,223,212,187,161,180,195,190,181,170,141,115,97,77,59,64,175,200,198,198,196,195,195,196,198,201,201,208,226,222,209,174,152,170,180,183,171,155,126,104,86,68,59,136,199,201,200,199,198,197,196,196,199,201,204,208,217,213,188,157,152,169,178,183,169,144,124,101,78,71,138,197,201,202,202,200,199,198,195,196,200,194,152,188,214,202,186,176,169,169,183,184,161,130,118,90,67,139,203,204,202,202,202,201,200,198,196,197,202,163,79,109,198,208,197,183,165,152,171,169,138,111,99,71,112,198,206,204,204,202,202,202,201,200,197,199,194,117,85,74,109,159,158,147,138,131,150,140,113,96,76,92,189,208,206,206,205,203,203,203,202,201,197,202,166,89,85,79,37,65,70,67,62,64,83,88,84,72,66,166,209,208,207,207,206,205,204,204,203,202,195,192,122,83,83,84,28,34,51,49,39,34,32,35,38,30,55,177,209,208,207,207,207,206,204,203,203,201,198,167,92,82,81,81,23,20,41,44,36,32,30,27,23,15,15,124,210,207,207,206,206,205,203,203,202,200
24,195,198,199,201,201,202,202,202,203,202,203,203,203,204,203,203,204,203,203,202,201,201,199,202,123,39,27,31,199,201,202,202,203,204,205,205,205,205,206,207,207,207,205,205,207,206,206,205,203,202,204,184,99,48,41,35,202,203,205,206,206,207,208,208,208,209,209,209,208,209,209,208,209,209,209,209,207,205,208,187,80,47,53,64,204,205,208,209,209,210,210,210,211,211,212,211,212,211,211,211,211,211,210,210,210,209,209,202,99,50,72,67,205,208,209,209,210,212,213,213,214,213,213,215,214,214,214,216,215,214,214,213,212,211,207,216,151,51,72,49,208,209,210,212,213,214,216,216,216,216,216,216,216,217,217,217,217,217,217,216,215,214,213,213,198,80,58,42,210,211,212,214,215,216,217,218,217,217,217,218,218,218,219,219,219,219,218,218,217,216,215,212,224,124,49,39,211,214,215,216,215,212,221,218,218,219,219,219,220,221,221,221,222,222,222,221,219,217,218,215,223,175,42,38,213,214,218,217,221,167,204,224,220,222,222,222,222,223,223,222,224,224,223,224,222,220,220,219,220,206,134,133,214,215,218,219,221,157,161,233,220,223,223,224,224,223,225,224,224,225,224,224,223,223,222,221,221,210,156,208,215,217,220,221,225,180,121,220,225,223,224,223,223,225,224,225,225,224,224,228,225,224,224,222,224,206,177,225,216,218,221,223,223,203,129,174,235,222,224,224,225,227,231,227,228,232,229,204,220,227,223,224,224,221,204,171,217,219,223,223,224,222,173,124,221,228,225,226,228,220,208,232,220,196,239,181,152,223,226,225,224,222,203,143,218,221,222,223,224,227,205,142,157,233,228,223,237,222,170,214,218,136,185,215,120,199,234,224,222,214,176,146,219,223,223,224,225,227,218,193,151,185,234,222,249,245,208,170,209,157,164,225,133,200,236,222,233,209,144,116,218,222,223,223,225,226,225,207,175,163,209,229,225,251,237,158,182,190,156,215,154,198,237,225,239,165,121,184,218,221,222,222,224,225,226,221,199,209,195,208,201,222,247,179,144,195,155,223,156,175,210,224,216,117,186,237,218,221,224,224,225,225,227,224,237,225,201,180,170,168,230,202,126,160,170,220,176,117,183,217,162,143,231,220,219,221,224,225,224,225,228,227,238,238,186,167,145,130,183,213,122,149,186,197,206,126,199,185,135,209,228,222,218,221,223,223,224,225,228,229,229,243,241,193,144,150,159,200,149,143,212,146,171,193,195,143,145,233,225,224,225,229,230,230,231,231,232,234,232,243,250,241,193,142,155,186,178,126,213,152,217,211,181,123,187,234,225,224,177,181,184,189,193,198,202,207,207,223,255,249,246,180,143,185,216,183,209,227,230,179,157,144,238,236,231,227,112,111,113,115,115,116,118,118,115,136,254,241,247,217,166,154,218,255,255,252,205,168,141,131,165,164,187,206,120,121,122,122,120,120,121,121,123,111,207,243,248,239,191,162,173,245,251,223,187,157,126,136,164,197,221,235,121,119,119,119,122,122,121,123,124,117,141,244,254,241,202,170,163,219,237,202,181,131,138,240,242,233,235,245,119,118,118,118,121,121,121,123,123,126,111,208,240,209,178,157,162,191,208,183,152,118,177,209,215,232,224,231,119,120,120,119,119,119,120,123,123,125,111,179,237,189,183,173,169,182,192,170,124,134,224,190,180,205,216,217,117,118,118,120,121,120,120,122,122,123,113,162,239,213,210,193,180,184,190,159,109,148,220,206,151,171,201,214
6,183,185,187,189,190,192,193,192,191,191,192,193,192,191,191,190,191,190,190,189,188,188,188,188,186,185,184,183,184,186,188,189,191,193,193,193,194,194,195,194,195,193,193,192,192,192,190,190,189,189,189,189,189,188,184,183,184,187,189,190,192,195,195,195,197,196,195,195,195,195,193,192,193,192,191,191,190,191,191,189,189,188,185,184,183,186,189,191,193,195,195,196,196,195,195,196,195,195,195,194,193,193,192,191,190,191,191,190,189,189,188,186,185,187,189,191,194,194,195,197,196,196,197,197,196,195,193,193,193,193,195,194,194,196,193,192,191,189,188,187,185,188,189,192,195,195,196,197,196,196,193,189,183,175,156,157,165,170,168,170,171,167,179,182,189,191,189,188,186,189,191,192,195,194,192,197,197,199,196,191,188,176,156,157,170,176,164,166,150,143,190,173,153,194,188,189,186,189,191,196,199,189,193,204,206,207,201,192,184,171,157,155,166,174,170,166,163,150,179,163,136,194,189,189,188,191,191,218,207,189,191,193,190,181,173,169,159,156,141,118,114,130,136,140,145,142,145,146,176,194,190,190,189,191,193,227,205,187,180,173,178,184,184,177,164,161,166,134,116,179,177,180,180,184,186,191,196,192,191,190,190,190,197,209,182,177,181,187,194,200,193,182,174,170,169,144,111,200,203,201,201,200,198,197,195,194,192,190,190,188,215,208,176,174,179,187,196,200,197,189,179,167,151,128,99,167,205,197,198,197,196,196,197,195,193,191,191,191,217,192,176,173,176,179,184,187,188,181,167,159,146,106,99,136,206,197,199,199,198,197,197,197,195,193,191,194,204,177,188,185,184,183,188,195,196,181,158,161,162,106,95,126,202,200,199,200,199,198,198,196,195,194,191,193,202,202,202,191,194,194,202,206,191,175,164,165,153,113,101,120,197,202,202,202,199,198,197,196,195,194,192,190,205,230,209,187,191,192,194,193,186,176,169,154,129,113,109,125,202,202,202,202,200,198,197,197,196,195,190,189,209,225,206,188,184,175,162,159,162,158,152,140,106,104,116,176,206,201,201,201,201,198,196,196,194,194,190,188,207,212,204,192,176,160,154,169,179,171,170,174,119,87,125,200,203,201,199,199,199,198,197,195,193,191,193,190,208,203,215,197,176,177,195,203,185,168,161,167,128,98,148,206,201,201,200,199,198,198,197,195,194,191,192,190,208,201,210,195,179,181,189,189,174,163,154,142,121,110,166,209,200,200,200,199,198,198,197,196,195,193,190,184,203,206,199,187,181,180,183,178,169,153,137,119,106,115,183,204,201,202,201,200,199,198,197,196,195,194,193,185,196,205,203,188,179,173,167,150,136,119,107,118,152,179,203,200,202,202,201,201,201,200,199,198,197,189,181,175,192,202,191,176,164,154,138,119,108,92,110,171,198,196,193,193,194,193,192,193,193,193,193,193,184,222,115,118,185,193,170,159,154,146,119,107,111,110,117,119,119,117,118,118,118,118,116,116,117,117,119,110,208,255,113,116,181,183,159,162,156,135,113,110,117,122,109,106,106,105,105,105,105,103,102,102,102,101,89,193,255,255,113,123,185,173,158,171,154,124,111,109,121,118,111,112,111,111,109,113,120,114,115,118,117,95,194,255,255,255,109,132,191,171,162,169,150,124,109,110,128,115,111,111,110,110,109,110,112,110,110,115,97,177,255,255,255,252,108,145,194,167,157,160,137,116,107,116,126,113,112,111,111,109,108,109,109,109,113,101,148,255,255,255,251,248
22,123,126,128,131,136,138,140,143,145,146,145,151,151,151,149,146,154,151,154,155,153,154,154,154,154,154,153,152,126,128,132,134,137,140,143,146,150,151,99,136,158,154,163,96,137,161,144,144,159,157,156,156,157,156,156,154,127,130,134,137,140,144,147,147,154,145,74,127,163,160,171,80,126,172,138,87,160,160,158,158,160,160,159,158,129,133,136,139,143,147,150,149,159,142,58,130,163,167,169,87,137,175,143,75,155,164,161,161,162,163,163,161,133,137,138,142,145,149,152,152,164,144,61,132,166,172,161,90,145,178,141,77,155,166,164,165,165,166,165,164,134,138,140,143,147,151,155,154,167,159,66,130,168,174,147,87,151,178,146,86,159,169,166,167,167,167,166,166,136,139,143,146,150,153,159,158,170,170,71,122,172,174,132,86,153,179,139,88,167,171,169,169,169,168,169,169,138,141,145,149,152,156,161,159,173,171,69,120,181,161,115,89,156,180,139,89,170,173,172,172,172,171,172,171,140,144,147,150,154,158,161,162,169,185,97,110,171,144,113,86,164,183,137,92,175,173,172,173,174,173,174,173,142,146,149,151,156,159,162,164,169,179,135,107,91,116,128,90,172,185,129,100,183,172,174,175,175,174,175,175,143,147,150,154,158,161,165,166,170,181,155,134,117,104,107,106,181,178,117,111,187,174,177,178,178,177,177,176,145,148,151,155,159,163,167,165,179,193,168,155,170,151,88,99,173,165,106,128,187,177,179,178,179,179,179,179,147,150,153,157,160,164,168,171,171,144,166,97,158,157,108,59,115,126,79,145,188,179,180,180,180,180,180,180,149,152,156,159,162,166,168,173,176,146,147,70,65,157,141,87,59,83,64,159,188,180,180,182,181,181,181,181,150,153,157,160,163,168,168,179,181,131,133,107,27,97,172,126,71,54,65,175,185,182,182,182,183,184,182,182,151,155,157,162,165,169,170,184,180,136,110,91,60,77,187,157,104,66,65,181,186,184,185,186,186,185,184,184,152,156,158,162,165,170,170,191,186,136,93,84,72,156,190,155,117,86,67,183,187,185,186,188,187,187,187,186,153,156,158,163,165,170,172,193,177,133,105,108,117,197,181,139,108,79,70,186,188,186,186,188,188,188,188,187,155,157,160,164,166,171,173,187,173,130,127,102,146,195,163,129,93,62,94,196,187,189,187,188,189,190,189,189,155,159,163,165,168,173,174,184,169,128,127,106,165,195,147,115,88,57,112,202,187,191,190,191,191,191,190,189,153,158,162,165,169,172,176,181,168,129,143,114,173,192,138,105,78,53,121,203,189,192,192,192,192,191,191,191,153,157,160,164,169,171,175,174,168,137,152,118,162,172,131,99,76,49,136,201,189,193,193,193,193,193,192,192,153,157,161,164,168,171,175,173,168,143,150,119,153,155,117,94,71,53,154,196,190,192,193,193,193,192,192,191,155,159,163,166,168,173,176,177,173,144,132,103,134,134,101,93,69,65,178,193,192,193,193,193,193,193,193,192,156,160,164,167,170,174,174,174,172,140,112,103,137,116,103,97,59,110,198,191,193,193,193,194,194,193,193,193,155,159,163,166,171,174,171,177,181,151,129,121,144,103,114,79,61,172,196,192,192,193,194,195,194,194,193,192,157,160,166,169,174,177,169,175,180,159,148,129,135,101,108,53,118,200,190,191,192,193,194,195,194,194,194,194,129,135,142,148,152,155,155,173,157,146,151,125,126,102,84,55,158,196,191,191,192,194,193,194,195,195,194,192
20,118,122,126,130,132,135,139,141,143,144,145,146,144,147,148,144,146,145,145,144,141,139,139,138,136,134,133,132,120,125,129,133,135,139,142,144,146,147,148,147,153,132,138,153,147,147,147,146,145,143,141,140,139,139,137,135,123,128,132,135,140,144,146,147,148,152,153,146,182,109,85,157,150,149,150,149,148,146,145,144,143,142,140,138,126,131,135,139,143,147,148,150,152,155,155,150,191,118,91,111,124,158,151,152,150,148,148,145,145,145,143,142,128,133,139,142,145,149,152,154,156,157,158,154,189,113,126,130,85,165,153,155,154,153,151,149,148,148,147,145,131,137,142,146,147,151,156,158,159,160,160,158,197,131,129,152,70,158,158,157,157,156,154,153,153,151,150,147,135,141,144,148,150,153,158,161,162,163,164,161,203,144,123,174,73,149,165,160,159,158,156,156,156,155,154,151,139,143,147,151,153,156,161,163,163,164,168,167,199,132,120,183,82,136,172,162,162,160,159,158,157,156,155,154,141,146,148,153,157,161,163,163,171,175,149,169,220,140,127,187,90,122,175,165,165,164,162,162,160,159,157,155,143,147,151,156,159,163,164,163,180,209,155,137,168,133,116,204,107,115,178,165,166,166,165,164,163,162,159,157,145,149,154,158,162,162,171,211,148,136,187,133,85,78,81,182,112,107,180,167,169,168,167,166,166,164,162,161,147,152,156,159,165,163,188,185,171,126,181,175,171,139,80,119,107,98,183,172,172,171,169,167,167,165,165,163,149,154,157,163,167,166,187,169,137,121,136,170,187,185,104,55,76,89,183,172,173,172,170,168,167,166,166,164,150,156,160,164,168,171,181,197,158,100,59,58,93,181,140,63,33,81,184,174,175,175,173,171,170,169,167,167,152,157,163,167,170,174,177,215,170,109,69,56,46,163,182,103,31,65,184,178,178,176,175,174,173,172,167,168,154,160,166,168,173,175,179,206,168,117,78,90,107,176,208,145,67,49,179,183,180,178,178,175,175,173,170,168,157,163,167,170,175,178,182,217,180,120,102,92,143,215,201,150,99,46,174,186,180,179,179,177,176,175,172,170,158,164,169,174,178,182,185,222,185,130,111,113,178,222,178,124,83,47,177,186,183,182,180,180,178,176,176,173,159,166,170,173,180,182,185,221,194,150,132,122,200,211,156,101,54,68,192,184,184,183,183,182,181,178,177,173,162,169,173,177,181,183,186,214,196,151,141,129,209,200,141,91,45,78,199,186,188,185,183,184,183,182,177,174,164,170,175,180,182,186,186,205,196,154,155,134,200,182,124,82,37,85,201,187,190,188,186,184,183,182,180,177,164,171,176,181,184,187,188,197,202,171,170,135,191,165,105,68,29,106,205,188,190,190,189,185,184,184,181,178,165,172,178,181,186,187,191,195,202,178,172,127,173,140,86,62,27,138,205,191,191,190,189,188,187,185,183,180,165,172,178,182,186,189,193,196,211,173,141,106,155,115,91,65,41,181,200,195,194,191,190,189,189,186,184,181,167,173,179,182,187,191,193,197,216,183,138,127,153,103,110,45,102,209,195,198,197,194,192,191,190,189,185,182,168,174,179,184,189,192,191,202,223,201,167,159,133,97,96,32,164,206,196,199,198,196,193,193,191,190,187,184,167,172,176,182,188,192,187,202,205,177,176,157,121,91,67,57,195,199,197,197,195,193,193,192,191,189,188,184,167,172,178,183,188,194,183,209,196,156,154,141,100,77,40,93,207,198,198,198,196,195,193,190,190,189,187,183
8,134,139,145,148,151,152,157,161,163,164,164,165,167,168,167,168,168,169,169,169,169,169,169,167,167,166,165,165,136,142,149,153,152,168,160,158,167,167,167,168,169,170,170,170,170,170,170,170,171,170,169,168,168,166,165,166,140,146,153,158,155,190,153,133,176,170,173,173,173,174,173,174,174,174,173,173,172,173,171,171,170,169,167,166,143,149,156,161,160,203,150,119,181,176,178,178,179,179,178,178,178,179,178,176,176,176,175,175,173,172,170,169,146,153,159,164,165,216,149,118,186,182,183,184,184,183,183,185,185,181,182,185,181,179,179,179,178,175,174,171,149,156,163,168,170,213,145,123,190,186,188,188,193,190,189,181,180,198,186,159,183,186,184,184,181,179,178,177,154,161,167,171,173,217,157,122,193,191,192,193,166,179,220,173,123,179,211,139,140,193,188,189,186,184,183,180,157,165,169,175,179,221,164,129,190,194,208,227,168,159,211,187,142,156,186,165,123,172,198,192,191,188,187,185,161,168,175,179,182,221,188,156,180,202,228,234,222,201,174,174,187,210,155,116,121,146,204,195,195,193,191,189,164,171,179,184,184,217,194,181,194,216,214,216,229,182,178,182,192,191,163,118,87,126,207,197,198,197,195,193,167,174,182,187,186,214,205,191,212,218,194,165,228,190,172,182,164,156,176,139,82,136,212,200,201,199,198,197,169,176,183,189,189,215,219,187,206,207,205,160,184,207,140,121,116,165,189,151,101,172,213,204,204,202,201,200,173,180,186,192,191,218,230,160,190,190,171,167,165,202,145,88,82,206,204,168,113,161,218,206,208,205,203,203,176,184,189,194,194,217,233,170,142,184,149,150,159,185,173,126,95,188,226,183,128,111,211,212,210,208,206,204,177,185,190,195,197,216,236,196,134,149,165,145,173,191,182,129,194,219,217,190,140,96,181,223,212,211,209,208,180,187,192,197,199,214,243,209,155,130,174,147,202,218,188,184,233,222,191,163,136,103,180,226,214,214,211,209,182,188,194,200,203,216,244,217,177,136,149,158,197,226,224,238,226,201,180,144,123,111,209,221,217,218,222,220,184,192,196,202,205,218,245,228,194,155,144,161,190,232,232,237,221,189,161,137,100,145,236,228,227,212,170,124,185,192,199,204,207,218,244,234,203,175,157,164,181,231,236,228,207,177,149,123,97,199,209,165,132,93,69,65,186,193,200,204,207,217,240,234,212,185,177,163,177,216,236,221,192,162,139,115,99,118,82,66,68,75,75,73,187,196,201,206,209,214,231,234,221,194,196,167,166,199,226,215,183,151,132,107,81,60,64,68,64,77,79,67,188,196,201,207,212,212,222,234,225,202,198,175,159,193,207,207,174,143,125,101,71,61,60,75,59,64,78,77,189,196,202,207,212,215,215,229,222,208,194,175,142,184,188,193,160,132,116,82,69,62,48,67,71,57,65,74,188,195,201,206,211,217,209,223,225,208,191,167,141,157,183,169,149,124,107,54,54,75,52,53,72,65,55,64,189,196,202,206,210,217,210,222,236,216,192,168,144,141,171,160,138,118,93,44,39,66,69,49,60,69,59,58,190,196,202,206,211,216,213,222,229,208,182,167,143,139,152,151,130,104,79,62,31,50,72,61,48,66,66,56,191,197,203,207,210,219,204,223,224,182,183,172,150,137,140,146,128,83,61,74,37,37,62,70,53,54,65,61,185,192,199,204,208,221,161,222,227,191,199,182,156,134,136,141,120,61,46,74,49,29,52,69,62,53,56,64
17,157,159,161,165,166,167,168,169,171,173,173,174,175,178,177,179,180,179,179,180,180,181,180,179,179,179,179,178,159,161,164,167,168,170,171,172,173,173,174,175,177,177,180,179,180,180,180,182,182,182,181,180,180,179,179,178,162,166,167,169,171,172,174,175,175,175,177,176,193,159,159,186,181,182,182,182,183,183,183,181,181,181,180,180,166,168,170,174,175,175,176,177,179,179,178,187,188,130,133,190,183,185,185,185,184,185,185,183,183,182,182,181,171,173,175,177,179,179,180,181,182,183,182,190,201,127,130,195,184,187,187,187,187,187,188,187,185,186,186,184,174,177,179,181,183,183,184,185,186,186,184,196,216,155,120,189,188,190,190,189,190,190,190,190,189,187,187,188,178,181,183,185,187,187,188,189,190,192,188,204,219,171,107,168,198,192,193,193,193,193,194,194,193,190,189,189,182,185,187,188,191,191,192,193,195,196,191,212,212,185,126,143,204,194,196,196,196,197,197,196,195,193,192,192,186,188,191,194,194,195,196,197,198,199,193,222,194,202,147,123,201,200,200,200,200,200,200,199,198,197,196,196,189,192,195,197,198,198,200,201,201,201,202,225,176,213,159,116,195,206,203,205,204,203,203,203,201,200,199,198,192,195,197,201,202,202,203,204,203,202,198,229,187,225,189,123,182,212,206,207,207,207,206,205,204,203,202,201,195,198,200,203,204,204,206,207,209,213,185,160,163,217,201,133,168,217,208,210,210,209,209,207,206,206,205,204,198,200,203,205,206,207,208,207,220,230,200,151,112,176,198,138,154,220,209,213,213,213,212,210,209,208,208,207,200,202,205,207,208,209,211,211,216,191,189,188,163,146,155,134,140,222,212,214,215,215,214,214,212,211,209,209,202,205,207,209,212,212,212,215,220,168,174,202,213,184,119,110,130,220,215,217,218,218,218,217,215,213,212,212,204,208,210,213,214,214,212,218,239,224,167,177,200,169,110,99,112,209,221,220,219,219,219,218,218,216,214,214,207,209,212,215,215,215,220,210,171,238,186,123,183,174,120,100,96,188,228,220,221,222,221,220,220,219,218,215,207,211,215,215,217,217,228,197,134,167,195,95,141,205,135,101,87,177,233,222,224,223,223,223,222,221,220,219,210,214,216,218,218,221,232,209,161,123,180,130,133,225,155,112,84,173,237,222,226,225,225,223,222,222,221,220,213,215,218,220,220,224,222,168,133,105,159,155,161,233,175,132,86,175,238,225,227,227,227,225,224,224,223,223,214,216,219,222,221,227,215,182,146,139,137,172,209,217,180,145,93,186,237,226,228,228,227,227,228,227,225,224,215,218,221,224,222,232,228,176,162,156,160,243,225,189,162,139,98,208,235,229,230,229,228,227,227,227,227,226,217,220,222,225,226,245,214,190,181,142,191,242,194,177,154,121,107,224,233,232,231,232,231,230,228,228,227,227,219,221,223,225,228,247,226,210,158,155,204,223,180,175,153,109,114,234,234,234,234,233,233,232,231,230,228,228,220,222,225,226,229,243,241,185,180,154,231,223,179,171,142,102,128,240,234,235,235,234,234,233,233,233,230,229,221,223,225,228,228,229,228,193,185,167,245,217,176,157,130,96,144,244,234,236,236,235,235,234,233,233,232,230,221,224,226,228,227,221,218,206,175,173,241,202,160,135,117,90,173,246,235,239,237,236,235,235,234,234,233,233,221,226,227,228,232,220,201,204,177,175,224,186,147,121,106,100,217,242,237,239,238,238,238,237,235,235,234,234
4,83,90,100,107,109,112,115,118,121,122,124,126,127,130,131,133,134,136,138,140,141,142,143,144,145,146,148,148,84,92,101,107,109,113,117,119,121,123,126,128,127,128,129,133,138,137,139,141,142,143,143,144,145,146,147,148,86,93,101,107,110,115,118,120,124,123,122,124,132,141,124,118,122,141,137,142,144,143,145,146,145,146,146,147,87,95,104,108,112,116,118,121,122,134,137,118,115,146,157,130,92,99,125,105,129,146,144,147,147,148,147,147,89,96,106,109,113,116,119,120,120,155,166,150,117,90,151,128,92,63,121,83,85,152,144,148,148,149,149,149,89,97,106,110,115,117,118,138,141,128,107,151,124,76,114,119,82,59,106,89,79,150,146,148,148,149,150,151,91,99,107,111,116,115,133,175,156,121,77,124,119,72,87,134,94,59,119,107,73,143,148,150,149,150,151,151,91,101,109,111,115,113,147,154,154,119,77,99,136,79,61,139,109,48,132,114,62,141,151,150,150,151,151,151,92,103,109,112,116,113,152,152,132,139,108,71,142,103,28,104,140,80,95,100,111,102,135,152,150,152,152,153,94,102,108,113,119,114,152,152,114,127,110,46,88,94,44,87,145,115,93,100,113,93,106,156,150,153,154,154,95,104,111,113,119,114,152,158,139,115,88,70,61,86,79,95,118,119,116,104,96,116,95,145,154,153,153,154,97,106,112,115,120,118,167,158,130,113,99,78,80,104,88,107,121,118,107,103,122,136,96,124,161,154,156,155,98,107,113,116,119,123,174,156,123,104,89,75,86,101,104,116,132,110,80,121,152,139,114,103,160,156,156,156,99,108,113,116,118,128,178,151,125,106,91,83,91,100,119,122,134,146,147,127,130,142,122,91,149,160,155,156,100,108,113,117,117,136,185,154,127,106,98,85,94,107,128,133,143,159,156,147,139,121,110,76,128,164,157,159,102,109,114,119,117,134,188,158,132,115,96,86,94,109,133,144,156,161,156,147,138,117,94,68,123,167,158,161,104,109,114,119,118,133,190,163,142,122,96,92,96,110,140,155,161,163,155,147,130,114,92,67,141,164,159,161,105,110,113,119,119,135,193,164,147,128,109,104,103,115,149,165,167,161,149,139,127,108,82,82,164,159,161,161,105,111,113,119,120,133,187,165,153,135,124,106,111,128,154,174,170,160,148,133,118,99,66,114,169,158,162,161,106,111,114,120,123,126,175,171,160,145,136,121,115,143,150,170,167,157,147,127,110,84,67,151,164,161,162,162,106,111,115,120,124,122,164,174,164,152,142,133,119,137,146,163,162,154,142,124,107,73,97,170,159,161,162,162,106,110,115,120,125,123,150,183,167,158,146,134,123,132,143,161,158,145,138,123,105,72,139,166,161,162,163,163,108,111,115,121,124,125,142,191,170,157,143,129,126,131,145,155,148,135,125,121,94,94,167,162,162,162,163,163,108,111,115,120,126,126,140,196,164,151,143,134,133,135,143,145,132,124,113,103,86,148,164,162,163,163,163,163,107,111,115,120,126,126,141,189,154,151,149,146,141,136,138,140,128,118,107,77,131,165,161,163,163,163,163,163,109,112,116,121,125,124,144,184,156,157,155,150,150,140,134,134,124,112,86,88,166,158,162,162,164,164,164,164,107,111,116,121,126,125,146,185,172,159,150,154,157,141,127,124,118,104,68,119,167,159,161,163,164,164,164,164,107,112,117,122,126,126,147,182,177,158,152,160,159,135,123,117,117,94,65,145,165,160,163,164,164,164,165,165
23,175,179,181,185,187,188,190,192,193,194,195,196,196,196,198,197,196,196,196,196,196,195,194,195,194,192,191,191,176,180,183,186,188,189,191,193,195,196,196,197,197,198,199,200,198,198,199,198,198,197,197,196,195,194,194,194,177,180,185,188,189,191,192,194,195,197,199,200,200,200,200,201,200,198,200,204,201,198,198,198,198,197,195,194,179,182,186,189,191,193,194,196,198,199,199,201,202,201,201,203,206,197,176,179,199,202,200,200,200,199,197,196,181,184,188,191,193,194,196,197,199,200,201,203,203,203,209,210,210,198,193,168,184,194,201,203,201,200,199,198,183,186,190,193,194,195,198,199,200,202,203,205,205,222,206,203,223,173,179,187,184,144,179,208,201,201,200,199,184,188,191,194,195,197,200,201,203,203,206,203,218,219,191,167,173,124,156,160,143,151,201,206,204,204,202,202,186,190,193,195,197,199,201,203,204,205,207,205,228,211,204,122,153,191,211,207,200,210,208,207,206,206,204,204,187,190,194,196,199,200,202,205,205,207,208,212,230,212,211,139,176,222,207,211,212,208,208,208,207,207,206,205,188,191,195,197,200,201,204,205,207,208,206,215,223,211,209,181,197,209,196,165,196,212,209,210,208,208,207,207,188,192,197,199,201,204,206,207,208,216,213,204,202,205,218,217,219,214,197,130,152,223,210,211,210,209,208,208,190,194,198,200,203,205,207,207,212,230,216,199,188,193,201,193,190,183,172,134,143,224,210,213,213,212,211,209,191,195,199,202,204,206,208,207,217,233,217,194,169,174,209,214,207,195,177,134,131,222,212,215,214,213,212,212,192,195,199,202,205,207,210,208,226,233,220,194,175,173,183,187,192,204,186,134,116,219,216,215,214,213,213,212,192,196,200,203,205,208,209,212,233,235,223,205,204,207,191,168,156,164,158,123,112,215,219,216,217,215,213,213,193,198,202,205,206,209,209,218,238,233,221,205,205,193,204,191,173,161,133,116,106,143,206,226,217,218,215,214,195,198,202,206,208,210,212,230,236,234,223,198,189,164,189,205,178,153,123,109,117,147,142,199,225,218,218,216,195,199,203,207,209,207,221,240,238,232,207,159,150,147,141,170,191,153,112,107,116,141,113,103,211,222,218,218,195,200,204,207,209,210,235,244,235,214,196,169,134,115,106,192,213,140,112,102,114,124,111,92,166,230,217,219,196,201,205,209,207,231,248,240,227,204,194,172,137,113,162,199,181,127,103,108,121,124,110,99,184,227,218,219,197,201,205,207,215,249,245,235,215,203,194,162,131,116,150,151,136,111,95,117,131,121,109,176,228,222,221,220,198,202,207,204,234,252,239,230,213,203,184,158,127,97,101,103,115,112,107,119,118,129,199,232,223,223,223,221,199,203,206,214,250,245,239,222,206,194,177,147,122,103,115,123,129,125,119,106,158,219,230,223,225,223,224,224,199,203,204,245,249,235,226,212,199,186,164,137,120,111,129,136,136,123,113,178,234,229,225,225,225,225,225,224,198,200,219,255,238,226,215,200,187,171,154,134,118,116,132,130,117,105,190,239,228,228,228,226,225,225,225,225,207,201,233,252,233,219,209,195,178,165,150,132,115,115,126,110,115,198,236,229,230,229,228,228,227,225,225,225,102,165,254,237,228,209,190,186,172,154,140,121,109,104,106,142,216,239,231,231,230,229,229,229,228,227,226,226,71,154,237,224,223,197,190,180,143,130,113,93,92,135,188,234,235,229,231,231,230,230,230,229,229,227,226,226
10,120,124,127,131,133,137,139,141,144,146,146,147,148,148,149,149,150,151,150,150,150,150,150,150,151,151,151,151,123,126,129,133,136,139,141,144,146,149,149,151,152,151,152,152,153,153,153,153,153,153,153,152,154,153,152,152,126,129,133,136,139,142,145,148,150,151,153,153,154,154,156,156,155,158,157,156,156,156,155,155,155,156,156,154,127,132,136,139,142,145,148,152,153,154,156,157,157,157,158,158,160,150,153,161,159,159,158,159,158,158,158,158,130,134,138,141,145,147,151,154,157,158,159,159,160,160,161,157,170,148,110,166,160,161,160,161,161,162,162,160,133,137,140,144,147,150,153,156,159,160,160,161,162,163,163,162,168,173,109,138,169,162,164,165,164,164,164,162,134,139,142,146,149,152,155,159,161,162,163,163,164,166,166,168,166,179,144,110,169,166,166,166,167,166,165,166,136,140,145,147,151,154,157,160,163,164,165,166,166,166,166,159,164,183,183,118,149,173,166,168,168,168,167,167,138,143,146,150,153,157,160,163,164,165,166,168,169,168,177,135,103,181,199,145,115,177,169,172,171,171,171,169,140,143,148,151,155,160,161,164,165,167,168,170,171,168,181,165,95,123,203,169,100,163,176,173,173,173,172,173,141,145,149,154,157,160,162,165,167,169,171,172,173,172,175,201,168,120,151,183,106,141,181,173,174,175,175,174,142,146,150,155,159,161,164,167,167,170,172,174,172,181,171,169,206,142,80,162,122,117,186,173,177,177,177,176,144,147,152,156,160,162,165,167,169,172,172,174,176,185,163,98,151,160,93,88,104,97,187,176,179,179,178,178,144,148,152,156,160,163,166,169,171,173,174,174,197,181,141,70,62,159,128,65,60,68,167,183,179,179,179,179,144,149,154,157,161,165,167,170,173,174,175,172,200,173,96,36,26,121,142,99,56,51,123,191,179,181,180,180,146,150,154,159,162,166,168,172,174,173,183,185,167,196,164,79,22,111,151,138,87,55,97,190,181,182,180,180,147,152,154,159,163,166,170,173,175,173,188,204,180,163,200,144,66,150,172,155,103,54,83,187,184,184,184,182,148,152,156,159,163,167,171,173,175,176,174,179,202,150,151,193,122,154,176,148,110,56,76,188,185,186,186,184,147,151,155,158,162,166,169,172,173,175,176,152,166,141,100,158,115,160,185,144,106,64,74,187,186,186,186,184,147,152,156,159,163,165,168,172,174,173,184,186,154,141,108,115,195,201,182,146,96,64,79,186,185,185,183,184,148,152,154,159,164,166,169,171,174,173,183,201,173,140,131,168,213,196,176,133,89,66,86,190,185,185,184,184,148,152,154,159,164,166,168,172,174,176,175,196,182,171,160,182,206,182,159,121,85,77,78,186,186,185,185,184,148,152,156,160,162,166,169,172,173,175,176,188,187,183,178,170,202,169,149,121,106,97,78,184,186,185,186,186,145,149,155,161,166,169,173,176,178,180,183,186,192,191,188,154,183,165,155,134,127,100,88,190,188,187,188,187,85,88,92,98,102,105,110,116,119,122,122,140,194,193,182,158,157,160,168,149,121,84,94,178,177,180,181,184,77,78,79,78,76,75,74,76,77,77,79,78,164,181,165,157,148,153,180,154,111,81,76,88,92,94,98,100,82,83,84,84,84,88,89,88,87,87,90,79,119,176,153,156,155,157,170,149,107,76,83,89,86,87,86,85,79,80,82,82,82,83,84,88,87,85,85,83,93,168,166,157,163,156,154,153,107,75,90,97,94,97,97,99
1,197,199,200,201,202,202,201,201,201,199,198,198,199,197,197,200,198,193,191,191,189,187,184,182,181,179,176,175,199,199,201,202,202,203,202,202,201,200,198,199,198,200,199,169,182,196,190,190,189,187,184,183,181,180,178,176,198,199,201,203,203,204,204,204,203,202,201,203,197,161,180,145,134,204,195,190,189,187,186,185,182,180,179,178,200,202,203,203,203,205,204,204,204,203,202,203,202,136,137,160,107,135,157,198,190,189,187,185,183,181,180,179,202,204,205,205,206,207,207,207,206,205,204,204,198,128,139,160,88,117,114,191,194,190,188,187,184,182,181,180,204,206,205,207,207,208,208,208,208,206,204,210,191,115,149,147,86,138,109,177,198,190,190,188,187,185,183,182,206,207,207,210,211,211,210,210,210,210,168,179,187,113,165,150,93,145,102,168,202,192,192,190,188,187,185,182,207,210,211,212,211,212,212,212,210,214,155,140,191,118,164,143,94,152,109,166,204,194,195,193,190,188,186,183,210,212,212,212,213,213,213,214,213,212,137,146,170,110,165,124,104,165,112,159,206,196,196,194,192,190,189,188,212,212,214,214,216,215,215,214,217,206,121,156,152,111,169,122,125,168,100,160,209,198,197,196,194,191,189,189,212,213,214,216,216,217,218,217,219,207,123,157,167,118,173,136,123,164,102,168,211,200,200,198,196,193,190,188,214,214,215,217,217,218,219,217,223,197,109,157,177,115,166,135,113,168,117,165,212,201,200,199,197,194,192,190,213,216,218,218,219,220,221,218,225,199,115,153,166,97,145,108,111,174,111,162,216,201,203,200,198,196,194,191,214,218,219,220,220,221,222,219,226,206,120,133,164,123,143,153,151,135,111,143,206,205,203,201,200,197,195,193,217,218,220,221,222,223,222,221,228,194,139,156,152,156,151,157,159,120,121,103,141,215,202,202,200,198,197,195,218,219,220,222,224,225,225,225,227,204,180,151,126,134,138,146,144,132,113,118,116,201,206,202,201,198,197,195,218,220,221,222,225,226,226,226,232,208,165,126,118,121,142,155,134,124,145,163,116,170,215,203,202,198,197,195,220,221,222,224,225,225,227,229,234,203,158,120,121,127,152,160,164,172,158,173,140,138,215,204,204,199,197,195,221,221,223,225,226,227,228,229,229,207,164,122,122,135,157,170,180,199,165,160,156,114,203,208,203,202,199,196,221,222,225,226,226,228,228,229,225,207,174,133,112,138,159,175,180,182,178,149,127,91,195,209,203,202,200,197,222,223,225,227,227,228,228,230,223,211,185,147,119,123,161,189,190,184,163,138,110,98,209,207,204,202,200,198,221,222,225,227,228,228,229,230,222,205,182,151,127,123,167,199,191,177,155,133,93,141,222,206,205,203,202,199,222,224,226,228,228,229,231,232,221,201,184,158,133,136,177,196,183,168,146,124,86,189,217,209,206,204,202,198,222,225,227,228,229,230,231,232,227,205,186,170,149,146,185,191,182,162,137,102,111,221,210,210,207,206,204,201,223,225,226,229,230,230,233,234,232,209,189,176,159,145,174,178,166,146,124,75,174,224,211,211,209,207,204,202,224,226,227,229,231,232,233,234,234,220,197,181,164,143,158,162,143,126,82,121,225,216,213,212,210,207,205,203,225,226,228,228,228,230,233,235,233,224,200,172,161,153,151,147,125,87,115,222,221,217,214,212,209,206,205,203,224,227,228,228,228,232,235,236,227,221,202,177,178,157,143,132,98,85,208,227,217,218,214,212,210,206,205,203
2,196,196,195,196,196,196,195,194,193,192,190,189,189,186,185,184,182,181,180,177,178,177,176,174,173,172,170,167,198,198,198,199,199,198,197,196,196,196,193,191,190,189,188,188,187,185,183,186,182,180,178,177,175,173,172,170,202,202,203,202,202,201,199,198,198,197,196,194,194,195,191,186,177,168,127,147,180,182,184,178,178,174,173,173,204,204,204,204,204,203,202,201,201,200,198,197,191,183,178,168,143,116,73,57,126,144,135,184,179,178,175,173,206,206,206,206,207,205,204,204,203,203,202,196,178,174,168,130,87,61,46,56,93,107,70,169,183,179,179,176,209,209,209,208,208,207,206,207,206,205,202,185,183,162,115,54,40,40,35,37,52,61,43,87,192,182,181,179,211,211,211,210,210,210,208,209,207,207,194,190,168,98,50,34,26,37,34,24,31,40,34,113,196,184,182,181,213,213,213,214,214,214,212,210,210,203,193,188,126,48,42,34,35,28,32,60,59,65,101,185,192,187,185,183,216,216,217,216,215,215,213,212,213,198,195,167,88,43,41,36,33,61,133,193,185,189,199,194,191,189,187,185,219,219,219,219,218,216,216,216,208,196,188,125,51,33,43,32,130,204,207,201,202,199,195,195,194,191,189,187,219,219,219,221,220,219,220,213,193,207,181,106,59,43,39,55,207,207,201,201,202,201,198,197,195,194,192,189,221,220,221,221,220,220,224,193,201,212,168,105,72,51,24,141,216,203,205,205,204,203,199,199,197,196,194,191,223,222,224,224,221,225,214,188,215,199,157,106,67,40,75,216,210,210,210,209,206,204,201,201,199,196,194,194,223,224,225,226,225,227,196,194,223,189,139,91,56,32,116,229,208,213,213,210,207,205,204,203,199,198,197,195,226,225,226,226,227,222,185,213,222,170,128,89,56,30,152,228,211,213,212,210,208,205,202,205,205,202,197,196,229,228,227,226,232,204,195,229,208,148,124,86,49,41,206,221,215,215,214,212,208,210,210,200,183,184,204,197,229,228,228,230,229,190,219,225,180,141,133,82,48,33,157,232,218,215,212,212,219,201,159,132,122,110,142,201,229,228,228,234,210,201,228,203,158,154,128,74,40,44,56,120,215,221,220,216,173,112,104,119,121,90,106,201,231,231,231,232,200,214,217,189,156,151,114,63,36,48,65,53,117,224,183,133,96,93,123,120,82,131,200,202,232,231,235,219,203,213,208,179,154,141,94,49,43,63,68,70,66,89,84,92,109,110,100,69,148,213,206,201,235,234,234,207,210,210,197,165,147,122,80,46,63,78,77,75,76,62,85,99,92,75,63,149,219,207,205,204,235,238,222,212,214,206,185,160,132,110,75,53,78,79,76,76,72,67,72,66,83,143,193,218,210,211,208,206,237,229,213,218,215,204,183,142,112,107,69,62,77,75,71,69,58,39,59,139,205,229,218,211,213,212,210,207,238,214,214,203,208,198,163,124,106,90,57,66,73,75,68,44,62,115,192,231,222,218,217,217,215,213,211,209,221,206,194,199,194,175,135,94,79,61,59,64,64,55,33,88,205,237,229,221,222,220,220,218,214,213,211,210,210,203,182,191,178,162,120,79,71,61,50,34,39,62,142,231,232,225,224,223,223,221,220,219,217,213,212,212,211,194,185,193,185,168,102,77,70,51,76,136,179,222,243,230,228,228,226,224,223,221,221,220,218,215,213,212,205,190,183,192,182,156,86,74,58,83,218,248,242,233,227,229,229,226,226,226,222,220,220,219,216,215,213,210
13,169,169,172,176,176,177,179,179,181,182,182,181,181,181,182,181,178,177,176,175,175,174,171,168,167,164,162,162,169,171,173,177,179,180,181,182,183,184,185,187,191,183,184,187,187,180,179,177,175,175,174,172,171,168,165,163,171,173,175,178,181,183,183,184,185,186,168,132,142,194,166,128,141,187,181,180,178,177,176,175,172,172,169,166,172,175,177,180,183,183,185,188,186,192,167,124,87,129,140,102,46,147,194,181,181,180,178,176,173,172,171,168,173,176,179,182,183,185,187,189,186,202,197,147,115,50,128,123,57,92,201,181,183,182,180,178,175,173,172,169,173,178,181,183,184,186,188,189,189,192,200,150,108,45,93,115,56,69,198,186,185,182,180,179,178,175,173,171,174,180,183,186,187,188,190,191,196,198,186,147,99,50,58,84,41,58,197,186,186,183,182,180,181,178,176,172,176,180,184,186,189,190,192,190,175,181,167,145,102,67,53,100,44,72,200,186,188,187,185,183,182,180,177,174,178,181,183,187,190,192,192,172,111,84,95,149,149,87,65,110,58,79,205,187,190,189,186,183,182,181,178,176,179,183,186,189,191,192,206,171,111,92,63,148,168,100,53,92,53,31,172,198,190,190,188,185,184,182,181,177,181,184,186,190,190,181,137,143,137,121,71,48,105,58,43,55,53,46,92,203,190,191,189,187,187,183,181,179,181,184,189,187,199,172,94,76,151,126,103,24,0,0,35,60,78,93,51,157,202,189,190,188,188,185,182,180,182,186,186,200,209,149,112,84,115,140,103,68,0,32,40,83,110,108,59,90,208,190,191,189,188,185,184,182,183,187,189,208,158,147,133,111,76,130,114,87,16,47,121,135,116,91,63,71,205,192,190,190,190,187,184,182,182,186,190,210,154,118,128,105,76,94,100,56,13,62,140,152,127,82,45,91,209,193,193,193,190,189,186,181,184,185,195,194,155,102,90,90,54,28,61,48,23,94,151,142,124,82,26,129,212,194,193,191,189,190,186,182,184,188,192,195,183,146,94,57,28,11,57,65,67,160,164,133,113,72,28,171,208,196,194,191,190,190,187,183,186,189,191,193,189,161,126,102,79,76,91,90,150,186,153,121,98,62,48,200,200,198,196,193,191,190,188,185,186,191,192,192,185,168,140,111,87,91,139,178,180,166,140,112,88,44,78,215,199,200,197,193,192,189,188,187,186,191,193,196,171,152,136,108,90,93,127,175,167,151,123,98,79,27,115,218,200,200,198,194,191,190,189,189,186,189,194,197,162,150,138,115,106,99,116,162,166,146,111,81,66,19,162,214,202,200,198,196,192,191,191,188,187,190,192,200,182,150,140,125,113,97,107,153,155,131,93,67,36,52,210,203,202,200,199,197,193,191,191,188,185,189,192,198,199,159,141,129,110,95,92,128,137,111,76,57,15,138,219,203,204,202,199,198,194,193,192,189,187,189,194,197,203,194,150,124,104,96,92,111,129,103,75,45,39,203,207,205,203,202,200,198,196,194,193,190,187,191,195,199,201,201,170,135,111,103,109,110,122,105,72,33,101,222,204,205,204,204,201,198,198,196,193,190,186,190,194,197,198,194,180,148,139,136,131,119,123,99,61,34,155,217,203,204,202,202,200,197,196,194,192,189,184,188,192,197,197,184,190,163,153,145,133,128,112,86,55,40,190,208,204,201,200,200,198,194,193,191,189,187,184,189,192,197,196,179,198,168,156,155,133,116,90,80,43,56,208,204,205,202,201,201,199,196,194,191,188,187
4,183,185,186,186,187,187,189,189,189,188,190,190,190,191,191,190,190,189,190,190,190,190,190,189,190,190,189,188,185,186,187,187,188,189,189,190,191,191,190,191,192,192,192,192,193,195,192,192,192,192,192,192,191,192,192,191,187,188,188,189,190,191,192,192,192,192,191,190,190,193,196,185,165,173,196,193,195,192,193,194,193,193,193,193,189,188,189,191,192,192,193,193,192,191,194,179,164,175,218,194,164,123,187,199,195,198,193,196,194,193,194,195,190,190,192,193,193,194,193,194,195,198,220,192,184,153,212,204,175,137,144,176,163,175,201,196,197,195,196,196,192,193,192,195,196,195,194,193,185,189,218,217,184,155,179,215,171,146,101,167,162,125,179,203,197,199,198,198,193,194,194,197,198,196,196,203,198,188,159,207,200,164,155,216,178,145,96,172,172,131,122,206,199,201,200,200,193,195,196,197,199,195,201,217,209,198,134,137,206,157,133,215,187,142,91,171,175,137,104,197,203,201,201,202,195,197,197,198,199,196,206,198,192,184,126,114,176,154,129,177,165,122,92,177,172,131,100,196,206,203,203,203,197,198,200,200,200,198,206,199,175,184,122,99,175,163,141,143,128,93,88,175,156,109,111,204,205,203,204,204,197,199,200,201,202,199,203,206,166,175,139,103,160,175,171,156,157,131,97,141,132,100,115,211,204,206,205,205,198,199,201,201,204,202,203,218,198,164,150,108,118,187,195,196,185,170,127,100,114,98,129,216,204,207,206,206,200,200,202,203,205,204,205,218,201,170,132,95,91,155,190,196,195,167,128,93,99,92,147,219,205,207,206,208,200,201,203,205,206,202,207,217,183,148,131,114,96,86,137,182,185,161,132,106,97,90,160,220,207,208,208,208,202,203,205,205,204,202,209,210,178,150,129,113,100,97,102,126,168,167,150,117,101,86,163,218,207,209,209,208,203,204,205,206,205,204,211,217,192,162,139,125,114,107,126,111,166,191,165,132,110,85,172,218,209,210,210,209,203,204,205,206,207,205,213,215,191,150,128,124,114,104,132,169,203,206,188,153,122,88,163,222,209,211,211,210,203,205,205,206,207,206,215,215,184,155,135,123,129,118,154,205,218,209,203,165,132,103,126,222,210,212,212,212,205,206,206,207,209,208,215,211,187,157,141,132,152,128,180,220,223,206,186,157,133,108,128,222,211,213,213,213,205,205,207,208,209,209,215,209,188,160,150,152,150,142,200,221,217,202,181,145,129,101,151,225,213,215,213,213,206,207,208,209,209,209,211,208,187,166,158,156,147,148,207,220,204,183,169,133,117,96,179,222,214,215,213,213,207,208,209,209,209,210,209,205,182,163,148,167,145,149,207,217,191,166,154,124,108,103,205,218,214,214,212,213,206,208,210,209,212,211,208,201,186,163,167,183,141,150,212,208,180,155,138,116,104,126,222,215,216,216,215,215,207,209,210,209,212,213,210,197,187,173,166,182,148,150,213,186,167,145,125,112,98,164,226,216,217,217,217,217,207,208,208,209,211,212,211,202,192,176,163,177,151,155,201,172,156,130,117,111,100,197,223,217,218,217,217,217,206,206,207,208,210,210,205,214,201,177,163,160,144,140,192,165,139,124,113,106,116,216,217,217,218,217,217,218,206,207,207,208,210,203,206,221,200,174,160,144,127,134,170,146,123,118,113,96,158,223,216,217,217,218,218,217,207,208,209,210,211,199,217,213,198,186,164,134,130,146,166,121,123,112,107,118,209,218,217,217,217,217,217,217
7,125,133,138,139,143,149,154,157,160,161,164,166,168,170,171,173,173,174,175,175,174,175,175,174,173,173,172,171,126,133,138,140,144,149,155,158,161,163,165,167,170,172,172,173,175,176,176,177,176,177,178,176,175,174,173,172,128,134,138,141,145,151,155,158,162,164,166,168,171,172,174,175,176,177,178,178,178,178,178,177,177,176,175,173,129,135,138,141,146,151,155,159,163,165,167,169,172,174,175,177,177,178,179,179,178,179,179,179,178,178,177,175,130,136,139,142,147,152,156,159,163,166,169,171,173,175,177,178,178,179,179,179,180,180,180,180,180,179,178,176,131,137,141,144,148,153,157,161,164,166,170,172,175,177,178,179,179,181,181,181,181,181,180,181,181,180,179,177,133,139,143,145,149,154,158,162,165,168,172,173,176,178,180,182,182,183,183,184,183,182,182,182,182,181,180,179,133,139,143,146,150,154,159,165,166,169,172,173,174,178,179,179,181,183,183,183,185,184,183,183,183,182,182,180,132,140,144,145,151,163,180,181,172,174,182,183,183,180,173,170,177,174,174,174,177,183,185,185,184,184,183,183,134,140,144,152,175,193,198,189,171,164,176,186,190,186,171,171,185,175,164,156,147,165,172,184,186,185,184,185,134,145,168,191,198,198,199,187,164,157,166,177,181,179,162,160,172,164,158,151,143,153,147,181,188,187,186,186,161,187,199,200,198,199,197,179,157,153,165,184,190,192,179,175,171,166,174,168,155,151,154,165,175,185,187,186,201,203,202,205,200,201,202,184,139,127,133,151,155,160,164,168,167,168,174,175,167,163,165,155,164,165,183,186,207,207,205,206,203,206,208,177,126,107,111,104,93,107,125,141,144,146,147,151,152,152,153,147,156,153,184,189,210,207,206,207,206,207,200,152,113,105,108,108,89,74,91,168,177,180,178,176,171,166,166,163,165,176,188,188,207,206,204,205,205,206,191,142,102,100,112,116,111,95,98,180,190,190,191,192,191,191,191,190,189,189,189,188,210,209,207,209,210,213,192,134,98,85,82,109,127,108,96,164,191,190,191,191,191,190,190,190,189,189,189,188,207,206,202,198,199,196,162,125,101,95,76,86,112,114,116,172,191,191,192,192,193,192,192,192,190,190,190,189,195,193,183,177,180,167,138,120,111,101,93,90,122,146,166,187,190,191,192,193,193,194,193,193,191,191,190,190,179,172,167,162,161,144,121,115,110,109,98,102,167,186,188,189,190,192,193,193,194,195,193,193,193,193,191,190,154,153,145,134,127,127,138,144,130,127,129,147,182,186,188,190,192,193,193,193,193,194,194,193,193,192,192,191,125,122,115,117,130,148,161,166,167,168,171,175,179,181,183,185,186,187,187,187,187,187,187,186,185,184,185,184,101,98,99,115,124,123,123,124,125,125,125,125,126,127,129,127,128,129,130,128,127,126,126,124,123,122,122,120,83,95,101,101,105,103,101,100,100,100,100,100,101,102,100,99,98,99,100,100,101,100,100,99,96,95,95,94,95,101,105,105,106,107,106,105,106,106,107,106,106,105,104,107,108,105,104,103,103,103,102,101,98,99,98,96,98,101,106,107,107,108,106,105,106,106,106,105,105,104,104,109,110,108,108,104,102,101,101,101,100,99,102,128,99,98,106,108,108,107,107,106,107,107,106,106,107,106,105,105,104,104,105,103,102,101,101,101,99,115,156,179,97,93,103,109,109,109,109,108,108,109,108,108,108,108,108,106,104,104,104,103,104,102,100,99,108,171,173,163
5,141,145,148,153,155,158,162,163,164,164,165,168,168,166,168,168,168,168,167,169,169,167,167,166,167,168,169,168,143,148,151,154,159,161,163,166,167,168,169,170,169,169,170,171,170,171,171,172,171,171,171,171,171,171,171,171,146,148,152,156,162,164,166,168,169,170,171,172,172,173,165,162,175,173,174,173,173,175,177,175,173,173,172,172,148,151,156,159,163,166,169,170,171,172,173,176,171,186,152,93,181,176,176,177,178,177,178,179,176,175,175,174,150,155,159,161,165,169,169,175,176,175,176,173,188,191,122,116,182,177,179,179,179,181,181,181,180,179,177,176,152,156,161,164,169,171,176,146,164,180,177,182,214,124,97,180,182,179,179,178,180,177,178,184,183,181,180,178,155,158,162,166,170,168,195,105,123,188,172,215,187,75,162,188,180,179,190,192,187,120,121,195,183,185,184,181,155,160,163,167,169,179,190,77,148,187,182,203,119,109,194,180,182,204,203,156,133,99,153,191,185,187,187,184,156,161,166,169,169,200,143,85,188,183,180,143,80,164,190,177,197,197,125,87,151,177,192,187,188,188,188,187,157,161,167,170,169,207,126,110,193,182,155,105,88,195,173,175,166,98,100,175,197,191,188,191,189,189,189,188,159,163,168,171,171,209,129,115,196,175,148,116,96,194,156,170,89,87,188,194,189,190,190,193,192,191,191,190,160,163,167,172,174,203,134,107,195,173,153,105,112,164,146,149,69,154,199,189,193,190,193,192,192,193,192,190,161,165,170,173,175,189,181,112,162,179,155,75,107,119,141,118,96,188,193,195,194,193,188,195,196,194,194,193,161,166,171,176,178,177,199,161,108,163,128,107,73,89,121,96,135,202,191,186,194,203,173,125,197,195,194,193,160,164,169,171,179,171,185,203,136,111,103,93,79,83,83,96,164,194,185,195,209,179,188,125,155,207,194,195,161,165,169,172,178,177,179,215,183,121,77,67,69,70,72,109,139,177,195,174,140,110,148,169,119,169,200,194,162,167,170,172,177,180,179,208,196,128,70,64,65,63,72,108,123,133,150,93,100,168,173,165,104,137,201,192,163,168,172,173,176,180,179,198,203,129,66,59,61,58,69,89,99,79,94,135,190,180,179,122,114,201,195,195,164,168,171,173,178,181,179,195,208,137,67,55,60,60,64,78,72,89,179,203,186,176,142,82,190,202,196,197,167,172,175,178,180,181,181,191,209,147,76,53,58,64,59,67,43,127,214,192,177,162,81,110,208,193,197,197,140,149,157,162,166,172,172,182,207,157,85,54,57,58,64,85,95,106,166,180,180,126,74,181,211,202,202,203,65,66,71,72,75,86,74,148,220,166,99,56,59,58,62,90,121,136,107,165,180,105,92,164,163,168,171,173,71,70,69,68,67,72,54,147,217,173,114,61,54,64,77,105,129,143,124,151,151,80,66,67,70,71,75,75,71,71,71,80,79,80,65,155,212,179,122,68,57,64,104,132,149,138,102,103,101,77,84,80,85,82,76,74,69,68,70,73,74,80,65,143,208,182,130,83,72,59,116,141,143,116,80,64,70,85,91,84,82,77,108,156,70,70,71,72,72,76,63,141,199,177,133,99,81,54,108,137,129,91,64,67,79,83,81,68,103,163,198,187,70,71,72,73,71,75,64,164,204,172,140,107,79,56,83,111,98,72,64,79,85,80,74,143,212,204,181,163,69,69,71,72,72,73,67,182,203,167,133,92,68,53,67,79,71,64,76,82,86,81,166,225,197,179,168,142
0,187,189,190,192,194,196,198,199,200,201,201,202,202,204,206,205,206,207,206,207,207,207,207,207,207,207,207,207,188,190,192,194,196,197,199,200,201,202,203,203,204,206,207,207,207,207,207,208,208,208,208,208,208,208,208,208,188,190,193,196,198,199,201,202,203,205,205,206,207,208,208,208,209,209,208,208,209,210,210,210,210,209,209,210,189,191,194,197,198,200,202,203,205,207,207,208,209,210,210,209,210,211,212,210,211,213,208,210,212,212,212,212,192,194,196,198,199,201,203,205,206,209,213,210,209,218,218,206,204,217,222,208,208,220,199,203,214,214,214,213,194,196,198,200,201,204,205,206,209,222,230,209,196,223,224,196,183,214,227,202,190,214,196,189,211,214,214,214,195,197,199,201,203,206,211,212,212,237,238,211,179,204,221,200,170,190,222,202,172,195,200,180,199,211,215,216,197,198,200,203,205,212,229,222,207,233,237,218,184,194,220,207,173,186,222,201,158,166,200,184,179,195,212,217,198,199,201,203,205,225,244,229,203,221,237,221,192,194,222,211,175,191,220,192,147,131,186,197,180,168,195,217,197,200,203,204,209,238,250,237,210,210,234,221,192,191,226,212,167,184,209,175,129,104,170,208,192,160,183,218,199,201,204,205,217,242,248,243,216,200,228,219,188,187,225,207,155,156,180,155,111,113,190,219,198,164,192,221,200,202,204,206,225,238,236,238,211,185,212,211,179,173,207,192,145,130,156,143,107,148,215,220,192,168,207,224,202,204,205,211,237,239,225,218,183,155,185,192,166,148,169,166,133,124,159,154,143,194,222,208,173,173,216,225,203,205,207,222,245,234,208,197,162,135,162,176,155,124,139,149,130,151,196,203,202,210,207,186,160,184,222,226,204,206,207,229,249,237,209,188,165,140,155,178,156,112,127,162,182,215,231,226,213,195,180,163,153,193,224,227,207,208,208,228,251,245,223,196,174,154,162,187,161,126,159,214,238,241,235,222,202,179,160,149,152,204,227,228,209,209,211,229,252,250,235,214,193,177,181,194,189,197,230,248,248,238,225,209,186,164,150,146,177,220,229,229,208,210,212,231,253,252,243,229,214,197,199,214,230,246,253,250,242,228,210,190,169,153,145,168,213,229,230,230,208,211,212,231,253,254,249,240,228,214,213,226,242,252,252,245,235,217,194,171,153,143,155,204,229,232,231,231,209,211,213,230,252,254,252,245,234,223,218,225,239,248,245,235,224,203,177,156,141,145,189,226,232,232,232,232,209,212,215,228,250,254,252,244,230,218,215,220,230,237,230,217,204,185,160,143,140,177,222,233,234,234,233,233,210,214,216,223,246,253,248,237,223,212,212,216,223,223,212,196,179,161,142,134,167,218,234,235,235,235,234,234,210,212,212,213,232,241,232,220,208,199,204,209,211,205,190,173,153,134,123,153,211,234,236,236,236,236,235,235,189,184,181,174,177,179,170,159,151,146,151,153,150,145,135,127,118,108,126,196,231,235,236,236,237,237,236,236,154,149,146,140,132,129,123,113,104,95,90,84,79,77,73,71,72,76,102,161,216,236,237,237,238,237,237,236,144,142,140,135,128,122,115,105,95,86,79,70,64,62,59,56,56,59,64,84,173,235,238,238,238,238,237,237,149,143,142,137,130,121,114,104,93,85,77,68,62,60,56,53,54,55,56,76,180,236,238,238,238,238,239,239,159,146,143,137,130,120,112,102,91,84,76,68,62,59,56,53,52,53,56,104,212,238,238,238,238,239,240,240
15,112,121,130,138,143,145,148,154,159,163,167,172,175,179,182,185,187,190,192,194,195,196,196,198,199,199,201,200,113,123,131,139,145,147,150,156,161,165,169,173,176,179,183,187,190,193,194,194,196,198,198,199,200,201,203,203,115,124,133,141,147,150,152,158,164,167,171,175,178,181,185,188,191,194,194,196,197,199,200,200,201,202,203,204,116,126,134,142,147,149,152,159,165,168,173,177,180,184,187,190,193,195,196,198,199,201,202,201,203,204,204,205,118,127,136,143,148,149,154,161,166,170,175,178,181,185,188,191,194,197,198,200,201,203,204,204,206,207,207,207,118,128,138,145,149,151,156,162,168,173,177,180,183,187,190,193,195,198,199,200,202,204,205,206,208,208,208,209,120,129,139,146,153,156,158,164,169,174,178,182,185,189,191,194,197,199,201,202,204,206,208,209,209,209,210,211,120,130,140,154,198,184,170,168,170,176,180,184,186,191,193,196,200,202,203,205,206,207,209,210,211,211,211,212,122,132,140,164,217,193,180,177,173,182,183,182,180,184,191,198,200,203,205,206,207,209,210,211,212,213,214,214,123,133,142,153,181,179,172,167,167,184,185,181,175,166,176,185,190,197,203,206,208,212,213,214,214,215,216,216,124,134,144,152,157,160,158,153,159,172,174,174,173,174,180,176,178,183,193,195,189,196,208,215,215,216,217,217,127,136,146,153,158,161,164,169,172,174,171,165,164,172,175,170,165,166,185,194,187,174,169,196,218,218,219,220,128,138,147,154,159,162,166,173,179,183,186,184,181,179,173,163,156,165,183,192,197,172,163,158,189,218,221,222,128,138,148,155,161,163,168,174,179,185,189,192,196,198,196,189,185,192,191,185,192,185,172,174,157,183,220,222,130,140,150,156,162,165,169,175,180,186,190,195,199,201,200,210,229,213,184,154,187,189,174,187,170,149,185,224,131,141,151,158,163,165,169,176,181,187,192,197,212,191,173,188,214,207,168,129,178,187,178,188,185,162,140,183,132,143,152,159,164,165,170,177,183,188,193,202,217,186,162,192,227,215,168,147,167,177,184,185,177,162,140,131,134,144,153,161,165,167,172,178,184,190,195,200,201,173,164,198,227,210,165,156,158,158,171,174,157,153,145,133,134,145,155,163,166,169,173,179,185,191,195,199,206,205,177,189,207,187,165,165,167,165,170,170,147,141,145,142,135,145,155,163,165,168,174,180,187,192,196,199,213,250,212,149,128,126,137,160,172,174,179,174,154,146,146,143,136,146,156,163,166,169,175,182,187,193,198,201,209,249,224,157,88,63,56,75,122,167,175,171,159,155,145,134,136,147,158,164,167,169,176,182,188,194,199,202,208,247,223,153,104,90,67,47,56,129,157,152,141,127,110,95,137,147,158,164,167,169,177,184,189,195,200,204,207,242,221,140,136,133,119,89,68,79,108,101,89,75,70,62,138,148,158,165,167,169,177,185,191,196,200,205,206,237,231,150,167,164,154,141,112,81,75,72,69,64,64,61,137,148,159,165,168,171,177,184,191,195,200,205,206,230,242,160,165,178,166,138,100,77,73,71,71,66,65,62,137,149,159,165,166,170,176,184,191,195,200,203,206,218,245,164,167,217,198,128,86,71,72,72,70,66,65,63,139,149,159,165,167,171,178,186,191,196,200,205,208,216,226,150,182,227,208,122,80,71,72,71,69,66,67,66,140,150,159,166,168,173,179,186,192,197,201,206,209,214,194,166,214,225,217,126,88,77,75,69,66,67,68,68
11,165,164,164,164,163,162,163,163,160,163,160,158,158,157,155,154,152,151,149,148,146,144,143,143,140,139,136,138,168,168,167,168,167,167,167,166,169,138,159,162,160,160,159,158,156,154,152,151,150,147,146,144,143,141,145,126,172,172,171,171,171,172,172,170,180,123,119,174,164,164,162,160,158,157,156,154,152,151,149,145,146,145,90,33,176,176,176,175,176,176,175,175,171,153,88,157,173,167,166,164,162,160,158,156,155,154,151,149,145,72,13,14,180,179,179,180,180,180,179,179,175,167,100,121,181,170,170,168,167,165,163,161,160,157,154,159,97,31,24,26,184,183,183,183,184,182,182,182,179,167,112,97,184,173,174,171,171,168,167,165,163,160,160,151,51,45,38,23,186,187,187,187,186,186,185,185,183,172,146,86,170,182,177,174,174,172,170,169,167,163,167,140,40,45,37,33,189,189,189,188,189,188,189,189,186,189,161,82,150,189,179,178,177,174,173,172,170,165,170,135,41,36,21,26,193,193,193,192,191,191,192,191,188,191,170,85,132,195,180,181,180,178,175,174,172,168,175,120,30,37,17,31,195,195,195,194,194,194,193,194,191,174,167,103,108,195,184,182,181,180,180,177,176,170,181,107,22,33,16,23,196,196,195,196,196,197,196,195,197,175,167,147,88,172,195,190,184,184,182,180,179,174,182,94,21,30,13,19,199,199,199,199,199,200,199,198,200,189,175,182,107,147,127,159,193,184,184,183,181,179,177,62,22,11,13,31,201,201,200,200,201,201,200,199,199,195,173,182,192,183,87,88,199,187,187,186,183,181,180,79,68,78,65,39,202,202,202,203,202,202,202,200,202,204,180,188,162,130,101,68,184,193,189,188,185,182,173,156,151,143,126,74,204,203,203,204,204,204,205,204,194,161,185,200,142,61,87,70,153,201,189,189,186,176,173,169,148,105,78,61,205,206,206,206,206,208,204,194,188,111,96,167,137,68,71,74,115,204,188,192,176,181,182,158,104,92,73,39,207,207,207,208,209,207,195,198,179,123,82,99,141,90,63,75,77,197,201,186,160,172,169,103,80,142,136,32,208,208,210,209,207,195,203,181,137,138,114,76,118,111,58,75,70,136,176,146,155,162,115,100,149,156,146,86,210,210,211,212,199,195,178,133,82,117,119,80,86,116,61,68,83,60,88,130,151,125,97,190,139,110,127,126,212,213,213,212,197,193,176,141,75,81,133,54,48,119,77,59,116,93,90,127,130,84,166,196,174,47,107,128,214,215,214,215,192,194,179,136,87,73,105,27,34,126,76,51,137,107,87,115,81,114,201,185,196,139,125,138,215,215,214,216,201,187,177,158,142,92,52,40,38,124,104,69,85,101,101,90,70,185,196,191,188,192,159,124,216,215,216,217,214,188,183,173,152,119,77,62,82,130,127,86,100,146,108,59,147,207,192,193,188,192,163,119,217,217,218,218,219,199,181,172,165,136,103,74,92,156,137,96,127,117,82,69,194,200,196,193,190,192,167,97,217,218,218,218,221,207,186,174,161,137,107,89,82,135,163,143,124,101,58,109,212,197,196,195,193,194,171,87,217,217,218,217,217,214,181,172,150,137,115,98,87,112,139,130,117,84,52,178,206,197,195,194,191,196,163,126,218,218,218,218,216,221,192,164,156,140,125,110,93,92,113,105,95,50,129,210,197,197,194,194,197,185,141,139,219,219,220,220,217,220,213,165,154,142,133,115,91,77,90,82,55,101,209,200,200,197,195,192,148,133,132,139
1,45,0,11,28,36,46,68,89,101,108,114,118,120,125,129,134,142,138,142,145,147,148,148,151,152,150,152,153,33,0,19,29,37,49,72,90,103,111,116,119,123,126,138,132,96,144,148,146,147,150,149,152,153,153,154,154,18,0,24,29,40,52,78,95,104,112,119,122,125,125,157,135,44,121,123,148,149,152,152,154,154,154,154,154,4,0,27,30,42,53,81,98,106,113,121,122,134,123,144,130,59,120,68,139,155,153,155,156,156,155,156,155,0,0,28,32,44,57,84,99,109,117,123,119,157,109,116,122,67,137,67,125,161,154,156,158,158,157,156,158,0,0,29,34,45,60,87,101,109,117,124,125,165,94,127,125,73,139,67,112,165,155,158,159,160,159,158,160,0,0,30,35,46,64,89,102,109,117,126,130,168,77,122,120,69,144,78,107,166,156,160,161,162,162,161,162,0,10,33,38,49,68,92,103,113,118,148,109,150,70,126,121,68,133,74,104,170,160,163,164,163,164,164,165,0,16,32,38,51,71,94,105,110,134,140,84,138,74,156,121,66,145,85,96,173,162,165,166,166,166,166,165,0,21,33,40,50,74,95,107,110,158,116,78,128,82,166,107,74,174,94,98,173,163,167,168,167,168,169,168,0,25,33,42,53,78,97,108,117,172,90,99,136,81,138,75,74,165,79,103,174,166,170,170,170,170,171,171,0,29,34,43,56,79,99,107,129,173,70,98,112,62,124,58,94,157,69,107,176,167,172,171,172,173,172,173,0,31,34,45,57,80,100,103,145,170,64,81,120,113,110,137,144,144,68,112,178,169,173,173,173,174,174,174,0,33,36,46,59,84,102,103,164,149,79,87,151,134,107,139,129,127,62,109,182,170,175,176,175,175,175,175,6,34,37,47,61,87,101,108,178,161,139,131,164,155,140,120,106,97,55,108,183,171,175,176,177,177,177,177,11,33,37,47,62,90,97,125,192,141,130,135,123,123,165,161,135,103,51,105,183,172,176,178,179,180,179,179,19,34,40,49,64,92,93,154,182,115,91,86,55,84,160,157,150,127,62,97,186,172,176,179,179,180,180,180,24,34,42,51,67,96,95,169,171,115,111,119,106,160,173,159,131,108,59,62,183,177,179,180,181,181,182,181,28,35,42,51,70,97,97,168,179,133,116,123,165,204,179,151,115,74,54,34,160,185,180,182,183,183,183,182,30,34,42,51,71,96,97,160,193,153,130,122,166,208,181,138,107,60,41,31,155,187,181,184,184,184,184,184,33,35,45,52,72,95,99,147,195,153,134,124,155,198,171,132,94,62,33,53,181,182,183,185,185,185,186,186,33,36,46,55,76,97,105,135,186,150,142,128,137,180,161,126,84,61,27,112,194,183,186,186,188,188,188,188,34,36,47,55,77,97,109,124,174,157,153,141,158,172,139,104,72,51,39,163,187,187,188,188,189,190,190,189,33,37,46,55,79,97,108,119,155,157,149,133,145,154,117,86,67,39,65,187,185,188,188,189,190,191,192,191,33,37,45,53,79,96,110,120,138,154,143,132,115,119,104,80,69,32,87,193,185,189,190,192,192,192,191,191,33,37,44,52,78,93,108,119,126,152,144,128,117,116,115,94,67,28,120,191,181,186,189,190,191,191,191,190,33,35,42,52,78,92,106,115,150,159,148,145,131,118,107,92,59,25,137,191,181,186,188,189,191,191,191,191,33,34,41,52,78,92,107,118,180,174,119,146,133,113,85,71,56,18,117,192,180,187,189,191,191,191,191,191
15,140,144,147,149,127,119,121,123,114,83,125,132,81,44,80,95,96,100,103,107,112,123,131,135,140,143,146,149,141,145,147,149,126,122,122,127,108,88,129,133,73,48,85,95,97,100,104,109,113,124,131,134,141,144,147,149,142,146,149,148,125,125,124,130,100,95,131,129,65,53,88,94,97,100,105,109,113,125,131,134,140,144,147,150,144,146,149,145,124,123,123,133,94,103,133,127,57,56,89,94,97,102,105,109,115,125,130,135,141,144,148,151,145,148,150,144,143,135,127,127,95,109,132,120,46,57,91,94,98,101,105,110,116,127,131,137,142,145,149,151,145,149,151,147,139,141,139,134,128,125,128,116,79,78,95,95,97,100,106,109,117,128,132,137,142,146,149,151,146,149,153,140,124,121,112,123,127,129,131,135,135,127,124,120,115,111,109,109,119,131,133,138,143,146,149,152,147,150,154,138,128,124,106,105,111,106,116,137,131,131,130,132,138,138,124,114,113,117,134,138,144,146,150,153,148,151,154,137,130,131,134,118,89,110,101,120,123,120,117,121,138,150,141,123,118,95,112,141,143,147,149,153,149,151,153,136,130,131,137,114,90,139,134,89,96,118,107,124,147,149,141,134,130,109,92,130,146,148,150,154,150,153,154,134,132,132,140,107,94,139,142,69,49,89,112,154,146,149,151,149,143,125,104,100,145,148,151,154,150,153,154,133,135,131,142,108,103,139,139,60,48,94,125,163,126,147,156,159,156,132,110,92,114,152,151,154,151,154,151,135,136,142,135,123,127,124,125,67,96,145,137,114,118,149,157,163,155,132,114,103,90,135,155,154,152,156,149,134,139,144,128,133,143,141,122,108,122,123,116,88,110,171,152,141,143,133,122,108,92,100,154,154,152,157,147,134,141,132,110,122,142,144,122,111,120,118,119,124,135,136,121,122,133,134,120,106,100,85,125,160,153,157,146,137,141,141,121,107,131,132,113,116,125,123,126,135,136,119,103,108,122,122,113,103,100,91,91,147,154,157,145,140,142,143,137,90,133,112,101,112,118,120,126,135,128,111,101,102,109,111,111,109,103,98,87,101,154,157,145,142,142,146,127,92,149,100,83,91,103,106,119,127,126,111,102,104,107,106,111,114,106,102,95,86,155,158,144,143,142,149,121,116,118,89,81,68,108,117,99,115,115,109,107,109,108,108,111,112,106,102,97,91,155,156,143,145,143,146,143,108,87,83,75,49,148,153,96,110,111,107,110,115,116,115,113,109,107,104,98,94,155,156,144,147,142,152,138,91,77,98,68,42,121,154,116,112,133,127,132,133,125,118,112,106,105,107,104,95,157,154,143,148,146,151,107,82,103,144,63,49,86,126,136,102,111,135,132,130,124,115,109,104,104,105,107,102,158,153,142,150,146,157,95,114,155,144,54,54,93,96,110,97,85,115,127,119,117,110,107,106,107,108,108,105,158,154,145,152,150,158,91,136,160,140,49,57,95,99,96,98,100,111,138,117,109,108,106,108,113,112,106,104,158,151,148,153,153,157,87,140,163,135,43,61,97,97,98,100,103,103,127,146,123,101,102,103,107,112,112,106,157,150,150,154,154,151,87,147,163,124,41,65,97,96,97,99,102,106,106,142,158,132,114,101,103,112,120,111,157,150,153,155,158,144,92,153,165,114,41,70,99,95,96,98,102,105,109,121,153,132,119,126,125,128,123,116,158,153,155,155,160,137,93,156,167,104,41,73,99,94,96,98,102,104,110,120,127,123,134,141,134,136,135,130
0,196,195,195,196,197,196,196,197,196,197,199,199,196,197,197,198,198,196,197,198,196,196,196,198,197,196,195,195,197,196,197,196,197,198,198,199,198,199,199,199,200,198,196,197,197,195,198,199,196,198,198,198,198,197,197,196,196,198,198,197,198,199,199,197,200,201,198,199,202,200,198,198,199,198,199,198,198,199,198,198,198,197,196,196,199,199,199,199,200,200,198,198,193,186,199,197,196,200,199,194,195,203,202,201,202,198,197,199,199,198,198,197,200,198,199,200,201,200,197,207,192,137,129,172,170,156,178,186,169,157,191,191,190,202,202,198,199,200,198,198,200,199,199,201,200,201,200,203,198,133,70,142,176,119,108,177,163,105,106,156,130,128,164,203,199,199,198,199,200,200,200,200,198,200,195,172,192,147,94,119,164,112,84,155,141,97,84,149,126,84,94,153,206,198,200,199,201,201,201,202,197,195,186,154,166,176,121,89,144,113,77,143,136,84,90,153,121,80,104,122,159,210,197,200,202,202,202,202,199,195,185,160,135,153,124,72,131,110,63,133,153,88,88,161,135,85,115,151,106,178,207,198,202,202,202,202,201,195,181,158,128,116,100,84,127,97,55,142,148,78,103,169,152,132,127,132,107,115,213,198,202,203,203,203,201,194,186,174,150,112,100,96,105,89,68,125,123,111,164,165,155,144,122,102,90,112,209,199,203,204,204,205,201,197,191,183,171,139,102,93,88,104,113,114,144,174,177,170,158,134,120,106,80,132,213,199,204,204,204,206,202,199,196,186,180,167,126,95,97,109,115,146,181,184,183,176,159,129,112,104,77,156,215,201,205,205,205,206,202,199,203,193,189,182,152,122,122,112,128,169,183,190,195,179,153,126,109,99,83,190,210,202,204,206,205,206,203,189,207,202,198,192,174,154,148,130,135,168,179,192,198,179,147,122,109,87,119,213,204,204,206,206,206,206,207,183,198,208,206,198,183,170,162,152,144,163,183,194,189,173,138,116,110,86,173,212,205,205,206,207,206,206,212,185,186,208,210,201,191,179,170,161,155,154,175,192,181,164,131,113,101,101,206,206,206,205,207,207,206,207,210,197,169,201,209,209,197,187,178,169,155,150,161,177,169,147,124,112,86,130,217,204,205,206,207,207,207,207,207,211,170,185,209,210,196,182,178,169,156,149,155,166,157,131,115,107,81,182,212,205,207,206,206,207,208,209,206,212,190,172,210,207,186,176,177,164,160,150,142,150,147,120,109,83,126,214,207,205,208,207,207,207,209,210,207,210,200,181,207,207,189,185,189,171,162,146,132,134,139,119,96,94,196,210,207,208,209,209,207,208,209,210,209,210,205,186,209,212,198,190,198,176,160,146,129,123,130,118,82,161,216,208,210,210,210,210,207,208,209,210,209,211,205,177,207,211,204,194,193,173,157,143,131,120,127,108,90,198,212,210,211,210,210,210,207,207,208,208,209,212,206,173,206,210,204,192,185,171,154,143,134,117,123,100,106,208,206,212,211,211,211,211,207,206,206,207,208,211,203,186,204,210,204,193,182,170,157,142,135,118,117,92,121,221,206,211,211,211,211,211,207,207,206,208,208,210,197,196,205,201,201,189,181,169,157,141,133,116,111,89,137,221,206,210,210,211,211,211,209,209,207,208,209,210,195,193,201,199,199,182,174,166,157,141,128,110,106,86,156,213,206,209,209,209,210,210,209,208,207,208,210,210,192,189,199,202,199,180,165,160,155,141,124,105,101,85,177,211,208,210,210,210,210,210
1,148,150,152,153,155,156,156,157,159,159,159,160,159,157,160,162,158,160,160,160,159,159,159,160,159,159,159,158,150,153,155,156,157,158,159,160,161,160,160,161,162,165,148,135,163,160,161,161,160,160,161,161,162,161,159,159,154,156,157,159,160,160,160,160,162,162,161,164,154,169,160,87,163,168,161,162,162,162,163,163,164,162,162,161,156,157,158,160,161,162,162,162,163,166,163,180,144,129,168,84,138,149,164,164,165,166,166,165,166,165,164,164,157,159,161,163,163,165,165,165,166,167,163,184,141,125,169,89,110,113,126,175,165,167,167,167,168,167,166,165,159,161,162,163,165,165,167,167,167,168,167,184,144,127,180,113,109,136,93,174,167,168,168,169,168,168,168,167,160,162,163,165,167,167,168,168,169,169,151,185,158,116,182,130,103,145,90,159,173,170,171,170,169,169,169,168,162,164,166,167,167,168,171,170,171,178,117,154,176,108,170,140,110,162,110,137,177,171,173,173,173,172,171,170,163,166,167,168,169,171,172,171,173,182,108,146,176,107,156,149,117,176,137,114,180,172,174,174,173,173,172,172,164,166,168,169,171,172,174,173,176,187,115,148,175,111,161,161,115,156,162,105,167,178,176,175,174,174,174,173,167,168,170,171,173,173,176,174,179,187,116,158,192,125,148,176,113,138,176,112,144,186,176,176,177,176,176,176,167,168,170,171,173,175,177,175,181,179,115,150,193,121,118,173,108,138,186,126,121,186,176,178,178,178,177,176,168,170,172,173,175,176,177,176,183,177,134,118,184,97,107,166,108,121,182,141,108,182,180,179,179,179,178,177,168,170,172,174,175,176,178,176,188,180,127,93,173,154,139,133,151,160,139,126,102,172,184,180,180,179,180,178,169,171,173,175,177,177,179,177,189,172,127,131,130,184,143,145,175,148,124,130,95,147,189,179,181,181,181,180,171,173,174,175,178,177,178,179,186,171,163,159,107,155,161,186,177,160,122,118,103,107,192,182,183,183,182,180,171,173,176,177,178,179,179,181,186,166,154,145,112,153,188,185,161,183,168,129,100,85,180,187,183,184,184,183,171,174,175,178,178,179,179,182,193,161,139,132,156,169,161,144,117,192,197,177,135,76,158,192,183,185,184,184,171,173,174,177,177,178,178,183,201,168,131,133,125,122,114,108,139,178,192,175,152,107,139,196,184,185,184,184,171,173,173,175,177,178,179,182,208,183,130,129,129,128,141,168,197,178,173,162,130,101,123,195,183,185,184,184,171,173,175,176,178,178,178,180,206,198,138,133,149,146,191,200,196,188,169,153,123,76,123,196,183,185,184,184,172,173,176,178,178,179,179,181,204,210,156,142,159,144,186,203,201,191,165,142,116,72,117,196,184,185,185,185,171,173,175,178,178,179,180,180,200,210,170,152,174,143,183,209,207,191,158,132,108,72,133,196,184,186,186,185,171,172,174,177,178,179,180,177,192,207,182,166,183,144,171,210,206,180,152,126,100,76,163,193,186,187,186,186,177,178,179,181,182,183,184,181,186,202,193,179,176,157,152,210,201,173,147,120,90,80,184,189,187,188,186,187,144,148,152,158,159,161,165,167,170,198,203,191,169,159,135,200,193,164,138,111,84,98,198,193,196,196,189,187,84,88,90,90,91,93,96,98,95,185,202,182,163,151,131,176,179,153,125,105,89,98,144,146,146,148,170,193,90,92,93,93,94,93,93,96,82,160,194,170,159,150,134,158,169,148,117,103,95,88,87,86,107,156,174,182
21,170,172,174,175,174,174,175,177,176,177,178,179,174,168,178,176,177,177,175,174,173,173,172,170,173,86,10,6,173,175,176,177,178,178,178,179,180,180,179,182,195,126,167,183,178,179,179,178,180,175,174,177,151,70,24,12,176,178,178,181,181,181,181,181,182,182,181,184,201,115,149,190,181,182,183,171,154,182,177,181,148,44,26,29,179,180,181,182,183,185,185,184,185,185,185,188,203,116,133,195,185,184,191,175,102,181,180,183,157,62,37,49,182,182,184,185,186,186,187,187,187,187,187,189,209,125,123,197,187,185,198,170,96,183,183,181,185,85,35,47,183,184,186,187,187,188,189,189,189,189,189,189,217,143,122,197,190,188,202,162,101,184,187,183,189,124,38,37,185,186,187,190,190,191,192,191,191,192,193,191,221,156,120,195,194,191,208,159,108,186,188,185,191,169,47,25,187,189,190,192,192,193,193,194,193,193,194,191,221,168,122,185,199,194,215,165,114,191,190,189,187,193,77,26,188,191,192,193,194,195,194,195,195,194,197,193,225,187,132,170,203,197,216,164,114,193,193,192,188,196,139,134,191,192,193,195,195,195,196,197,196,196,198,194,226,203,135,163,204,203,223,160,112,197,194,193,191,194,140,183,192,193,195,197,197,197,198,199,199,199,201,187,196,211,129,162,206,211,216,148,120,204,196,195,193,192,161,191,192,193,194,197,198,199,200,199,201,199,220,195,158,174,146,141,207,215,198,135,134,208,196,197,197,196,186,142,193,195,197,198,199,200,200,200,202,200,229,223,188,137,175,94,170,209,187,124,151,211,198,199,198,198,192,134,194,196,197,199,200,200,200,201,201,205,203,229,215,172,181,105,93,158,158,110,172,209,200,200,199,199,196,174,196,197,198,200,200,201,201,202,202,207,178,170,227,179,171,155,112,98,117,89,180,209,201,201,200,200,200,195,196,197,199,201,201,201,203,204,204,200,210,173,198,185,139,182,164,106,86,80,174,212,202,202,202,200,200,198,196,197,198,199,200,201,203,203,206,208,229,190,122,171,125,154,174,124,79,72,174,213,203,203,202,202,200,199,196,197,197,197,200,201,202,202,220,224,212,149,88,108,162,125,163,152,100,66,178,210,202,202,202,201,200,199,196,197,198,199,200,201,201,207,227,192,170,159,114,63,127,88,141,190,125,75,191,209,203,202,201,200,200,199,196,199,200,200,200,203,203,206,222,189,158,170,124,79,55,117,168,207,159,90,156,213,203,204,201,201,200,199,196,198,199,199,199,201,202,203,218,199,175,165,155,100,85,207,193,199,178,120,106,211,205,204,203,201,200,200,202,205,206,207,206,208,210,211,219,218,183,125,157,118,143,231,208,189,164,127,122,212,205,205,203,201,201,201,143,146,151,154,158,163,167,170,220,221,180,120,153,137,195,234,197,180,147,97,136,219,208,211,210,206,201,198,89,90,92,92,91,92,92,91,210,226,174,143,163,151,228,224,194,171,140,94,105,128,123,122,130,143,171,193,100,101,100,100,99,100,102,94,192,224,178,169,179,161,236,223,191,162,125,96,89,92,111,141,169,193,209,218,99,99,98,99,100,100,103,90,156,226,199,196,191,148,217,213,172,146,106,93,169,187,196,212,214,207,209,222,98,99,97,99,100,99,101,98,112,211,212,200,186,145,182,197,147,115,89,103,216,212,184,175,193,202,200,207,98,98,97,99,101,99,99,102,94,191,207,181,161,134,141,170,125,97,84,122,165,179,201,160,157,179,195,205
14,183,185,185,187,189,188,188,189,189,189,187,188,187,185,184,184,182,182,181,180,178,176,174,173,172,171,170,169,185,186,187,187,190,190,191,191,191,190,189,189,188,189,186,183,183,183,183,182,180,177,177,176,174,172,170,169,187,188,189,189,191,192,192,192,192,193,194,193,192,182,186,194,189,184,184,183,181,179,177,176,177,175,172,171,188,190,191,191,192,193,193,194,194,194,184,169,166,136,123,146,166,189,189,186,183,183,180,178,177,176,174,172,189,191,192,194,195,194,195,196,197,182,155,134,109,85,74,94,106,136,162,182,187,184,182,180,178,178,175,173,191,192,193,195,196,196,197,197,191,171,130,91,77,77,75,85,104,112,116,122,188,184,183,182,180,179,177,175,192,193,195,196,197,198,195,187,173,143,85,58,64,67,64,67,73,94,87,87,187,188,184,184,182,180,178,176,193,194,195,198,199,200,191,173,152,101,70,62,57,62,63,67,63,76,80,77,118,185,186,185,183,181,179,177,193,194,197,199,199,201,189,170,123,69,72,67,65,64,64,57,62,63,84,91,81,182,189,185,183,182,180,178,194,197,198,200,200,201,194,175,131,69,67,62,67,70,61,138,141,150,103,73,76,154,198,188,185,184,183,180,196,198,199,201,201,202,195,173,133,73,62,58,69,60,103,211,204,208,188,121,92,94,137,173,188,183,184,182,196,198,200,201,201,202,195,176,124,74,75,68,57,83,192,201,197,197,200,195,122,112,100,136,194,183,184,183,198,199,200,201,204,203,197,181,135,93,80,75,61,160,213,200,202,199,203,153,118,121,97,150,195,185,185,184,198,199,201,202,204,203,196,185,147,105,81,71,66,183,208,203,202,205,186,118,117,111,93,183,193,187,186,184,200,201,203,205,206,199,194,188,150,113,87,65,81,209,207,202,203,205,134,104,114,93,120,200,190,190,187,186,200,202,204,205,206,197,194,185,152,118,84,67,72,163,201,209,212,167,112,99,105,70,155,200,190,190,187,186,199,203,205,205,206,198,194,185,152,117,87,74,72,77,99,156,174,110,115,112,80,107,198,194,193,192,189,187,201,202,205,206,207,195,199,190,150,121,93,74,78,85,88,91,93,96,109,94,97,195,198,195,192,191,190,188,203,205,206,207,206,192,202,187,148,119,96,73,75,84,92,99,94,92,104,85,182,203,196,195,193,191,189,188,203,205,205,208,204,192,202,182,143,119,101,74,75,85,90,97,101,93,73,149,211,197,198,196,194,192,190,189,202,205,207,210,203,194,198,177,142,126,102,75,76,89,96,99,98,80,99,204,201,200,199,197,195,193,193,190,204,205,206,211,200,196,191,166,141,124,101,75,76,93,99,99,90,76,192,206,201,201,200,198,197,193,193,191,204,205,206,211,200,192,181,161,135,118,100,75,76,94,96,94,67,127,217,202,204,201,199,198,198,195,192,191,203,206,207,210,199,188,179,160,131,115,97,75,78,90,92,78,76,199,207,204,204,201,199,199,198,195,193,191,204,206,207,208,201,183,172,153,129,107,91,75,77,86,83,59,166,216,204,205,204,203,201,199,197,195,194,192,204,206,208,208,200,180,173,151,126,102,87,72,75,66,61,155,219,206,208,207,205,203,201,199,198,197,195,193,203,207,207,207,199,179,168,151,125,100,80,68,64,92,176,218,209,210,208,207,205,203,202,200,199,197,196,193,202,206,204,206,190,170,163,150,124,93,75,56,120,216,216,206,207,208,206,206,203,201,201,198,197,196,193,192
18,142,143,144,144,145,145,147,147,146,146,146,145,144,143,143,142,140,141,140,139,137,135,136,133,131,131,129,128,143,145,145,145,147,148,149,149,148,150,149,146,145,144,143,142,143,143,142,140,139,138,136,135,133,132,130,129,144,145,146,147,148,150,150,150,150,150,150,150,149,150,152,148,146,148,149,148,140,139,140,137,134,132,131,129,146,147,148,148,151,151,151,152,153,152,152,150,152,137,110,138,152,120,89,110,149,142,129,138,140,133,133,132,146,148,151,151,152,152,153,154,154,154,156,156,156,117,65,56,114,106,65,26,108,111,70,62,123,140,135,135,147,148,152,153,153,154,156,155,156,149,114,117,151,123,88,51,61,143,75,50,30,78,71,27,49,147,135,136,149,151,152,155,154,155,156,154,160,149,102,79,85,138,98,66,44,130,84,65,56,52,65,48,11,120,143,134,152,154,154,156,156,156,157,158,162,156,130,112,70,92,121,70,39,77,101,81,73,64,84,66,9,111,146,137,153,154,155,156,157,159,160,160,159,139,148,111,92,47,101,81,49,45,105,93,79,78,76,58,9,116,147,139,154,154,155,156,157,160,160,161,169,112,109,114,78,19,70,90,48,27,86,78,74,73,74,60,7,103,152,140,154,154,156,158,159,161,161,165,159,87,55,115,47,7,49,61,25,11,66,36,53,109,101,67,15,83,156,141,154,156,158,159,161,162,161,167,155,111,75,101,48,12,37,38,15,3,38,15,28,134,109,78,26,61,158,142,156,158,159,160,161,162,161,168,162,138,94,83,69,23,34,50,21,0,36,18,3,104,119,89,42,34,154,144,158,159,160,161,161,162,161,168,163,125,89,60,46,9,36,59,17,0,27,66,111,111,138,104,54,15,138,149,158,159,161,162,162,164,163,169,145,103,77,55,29,12,16,22,9,17,60,129,138,121,116,101,52,7,123,154,160,160,162,162,162,166,165,168,159,131,101,72,44,40,33,31,57,91,130,143,132,126,96,75,40,6,131,152,160,160,162,163,164,167,166,168,165,141,110,74,44,39,48,68,98,126,151,149,126,106,84,53,19,29,155,148,160,161,161,163,166,168,168,168,166,147,118,85,61,52,52,65,119,144,157,144,114,94,74,44,0,79,162,146,162,162,163,165,167,167,169,169,164,151,124,96,73,63,56,78,141,152,150,133,105,83,66,32,2,134,157,150,161,164,165,165,168,168,170,167,159,147,123,98,82,71,64,89,151,144,137,124,100,75,58,14,35,163,152,152,162,165,166,166,168,168,170,167,151,137,124,103,87,86,71,97,144,139,126,106,91,68,47,0,85,168,152,152,163,165,166,168,168,169,170,171,153,138,128,109,96,97,76,104,135,134,120,92,77,58,31,0,137,159,153,152,165,166,167,170,171,172,172,174,163,136,127,118,104,94,73,99,131,123,112,87,62,46,5,45,168,153,155,154,165,167,168,170,171,171,173,174,170,144,135,125,109,92,72,82,118,111,95,72,48,31,0,123,166,157,156,154,166,168,169,171,171,172,173,174,174,158,141,126,114,102,85,79,100,100,81,59,41,1,40,171,158,158,157,156,165,166,169,171,171,173,173,173,172,168,152,131,112,98,88,80,91,93,73,52,27,0,125,169,160,159,157,156,168,168,169,170,172,174,173,173,172,170,156,127,111,107,104,98,87,85,65,46,4,47,173,159,161,160,159,157,169,170,170,171,171,173,173,175,170,168,155,132,126,123,107,97,80,78,57,33,0,114,172,162,161,161,159,158
14,167,168,171,173,173,173,176,175,176,177,177,176,177,176,176,175,174,173,173,172,171,171,170,168,167,167,165,165,168,171,172,174,175,176,178,179,179,180,180,179,181,179,179,179,177,176,175,175,174,174,172,171,170,169,169,168,171,173,174,176,178,179,180,180,180,181,181,181,183,183,181,182,180,179,178,177,176,174,174,174,172,172,171,170,172,174,176,179,179,181,183,183,183,184,184,184,182,181,183,185,184,181,180,180,179,178,177,175,174,173,173,172,173,176,178,180,181,183,186,186,186,186,186,186,196,174,166,175,174,186,183,181,181,180,179,177,176,175,175,174,174,177,180,181,183,185,186,187,187,187,190,205,197,178,163,159,145,155,184,185,183,182,181,181,179,178,177,176,177,179,182,185,186,186,187,189,190,191,208,204,198,182,186,171,141,111,123,194,184,185,184,182,181,180,179,179,180,182,183,186,188,188,187,191,190,202,210,206,184,98,163,164,155,118,61,137,195,185,186,183,182,182,181,180,181,183,185,187,188,191,189,192,197,214,177,130,118,78,73,87,170,160,68,79,186,188,187,186,185,183,182,182,182,185,187,190,192,194,193,210,223,209,160,104,64,60,52,33,143,189,122,72,169,195,188,188,186,184,184,184,186,188,188,191,195,192,203,225,208,168,137,112,76,39,60,37,81,141,120,71,139,200,189,189,188,187,186,185,186,188,190,193,194,192,223,219,192,138,83,80,69,52,41,73,178,157,160,110,113,202,189,191,190,188,187,187,186,188,191,195,190,220,230,207,191,137,86,54,56,40,94,191,201,192,169,90,111,203,193,194,190,190,189,188,188,191,196,189,212,235,213,206,171,122,97,60,42,72,201,207,195,175,156,80,99,207,194,196,195,193,192,191,190,194,192,201,239,226,215,199,164,134,92,42,29,109,188,207,199,161,147,88,61,173,203,196,197,195,194,192,193,197,191,228,241,225,209,188,161,119,76,43,57,63,68,185,175,141,137,104,72,129,212,197,198,196,195,194,195,193,207,244,234,219,202,185,139,96,61,66,89,91,86,94,122,153,141,100,73,170,208,200,199,197,197,196,194,193,232,238,224,211,192,168,120,96,65,94,106,109,115,98,112,144,128,72,146,212,201,202,200,200,199,198,195,212,244,227,216,198,185,157,121,96,84,107,111,115,107,113,107,135,85,118,212,201,203,202,201,201,199,198,171,241,242,220,202,193,174,153,128,91,92,111,111,109,96,116,101,75,107,211,207,205,205,203,202,202,200,199,78,155,228,210,180,166,151,137,98,84,91,100,107,99,94,95,58,92,204,211,206,207,207,206,203,203,202,200,81,68,108,163,175,140,106,74,62,77,77,85,95,86,72,95,150,210,215,208,209,208,207,207,206,204,203,202,72,75,67,77,90,84,70,58,58,62,62,61,62,67,127,209,223,213,211,211,209,209,208,207,206,206,203,202,69,67,71,71,28,27,38,34,32,35,27,69,125,173,223,216,213,214,213,213,212,210,209,208,207,207,205,203,67,66,62,71,58,12,29,26,22,22,15,45,205,229,213,216,216,215,214,214,213,211,210,209,208,207,206,205,64,61,60,65,64,13,18,23,21,21,17,27,197,222,216,218,217,217,215,214,214,212,212,210,209,208,208,206,54,57,53,61,64,9,16,19,18,22,5,98,237,216,220,219,218,217,216,216,215,213,213,212,211,209,207,207,66,96,45,67,47,5,17,16,15,18,3,151,235,216,220,219,218,217,216,216,216,214,214,213,212,209,209,208
5,179,180,182,183,186,186,186,186,187,186,185,186,186,183,185,184,184,182,181,181,178,178,177,175,175,174,173,171,181,183,184,185,187,187,187,188,188,187,187,186,189,187,186,185,185,185,183,182,180,179,179,177,177,175,173,173,182,185,187,187,188,190,189,189,191,190,189,198,158,181,190,187,187,187,186,184,182,181,181,180,178,177,176,175,186,186,187,189,190,191,191,195,193,191,194,208,128,156,196,188,188,187,186,184,184,183,182,182,180,179,179,177,188,188,188,191,190,198,193,161,199,190,202,203,114,158,197,189,190,189,188,187,186,185,185,183,182,181,178,177,189,189,190,194,190,213,177,121,198,192,206,178,106,181,197,193,192,191,189,190,190,187,186,185,184,183,181,179,190,191,194,193,196,220,139,128,203,195,196,157,115,198,195,196,193,190,201,166,174,192,188,188,186,185,183,181,191,193,196,193,210,196,101,175,207,189,176,138,128,202,198,194,191,204,195,122,153,199,190,190,187,186,184,184,193,194,197,193,225,190,104,198,204,177,162,111,154,209,182,182,188,172,121,127,188,195,193,192,189,188,185,185,195,196,197,197,238,178,108,200,199,170,150,101,186,163,168,191,142,102,145,192,197,194,194,193,190,188,187,186,196,198,199,204,235,145,108,214,177,174,155,114,135,129,154,138,105,161,208,197,196,195,194,194,192,190,188,187,197,199,202,202,227,202,112,175,164,163,136,103,105,120,97,118,176,205,199,199,197,196,195,195,194,192,190,188,199,202,205,203,222,222,143,113,131,136,109,95,120,107,117,202,206,200,200,200,198,197,196,196,195,194,191,189,202,203,206,206,215,221,187,138,123,126,102,92,120,109,185,213,203,202,201,201,200,198,198,196,196,195,192,190,204,206,207,208,209,242,222,173,123,110,110,107,103,173,207,187,192,206,207,205,203,201,200,198,197,196,194,192,206,207,209,210,211,242,221,165,117,102,100,111,112,152,152,161,168,173,184,191,197,205,202,199,199,197,195,194,208,208,211,212,218,240,211,157,106,95,94,111,117,125,161,166,196,189,187,190,192,153,191,205,200,198,197,195,209,210,213,209,228,239,219,167,112,90,90,110,120,116,135,110,147,171,167,183,180,135,176,210,200,199,198,196,210,212,214,212,239,234,216,159,118,93,89,101,101,94,117,121,179,181,163,181,209,160,152,212,201,200,198,197,211,215,212,225,238,225,212,155,118,89,82,93,84,165,218,212,221,216,207,215,175,121,200,208,204,203,200,197,213,215,213,239,231,227,209,157,110,87,86,102,110,121,191,228,209,178,181,194,108,158,220,205,207,204,203,200,214,214,220,244,227,224,201,137,103,84,98,106,116,123,127,168,176,188,181,148,78,192,216,209,208,205,203,202,216,210,243,240,222,223,185,125,103,91,119,135,144,140,123,135,171,180,161,98,112,213,213,211,209,208,205,204,216,120,153,231,233,208,168,125,103,107,131,145,147,133,128,129,160,139,104,143,212,216,214,214,210,208,207,204,138,88,82,116,196,198,162,133,104,113,139,136,130,113,124,113,95,115,186,225,217,215,216,214,210,208,207,205,97,91,89,81,87,127,145,112,90,100,125,122,113,104,96,84,136,217,227,218,218,217,216,214,212,210,209,208,101,87,82,86,81,76,65,59,64,72,86,98,91,80,142,203,231,224,220,221,222,220,217,215,213,210,209,209,89,82,80,79,75,81,54,42,53,52,55,59,74,164,235,230,224,224,223,223,222,220,218,215,214,212,209,209
15,71,73,73,74,77,79,80,82,85,90,99,112,124,134,142,148,151,153,154,159,163,168,170,173,176,179,180,182,74,74,73,75,76,80,79,83,86,89,99,113,125,135,140,146,150,153,156,159,164,168,172,174,177,179,181,185,76,73,74,73,76,80,82,84,86,90,103,114,124,135,141,147,152,155,159,161,165,168,173,175,177,180,183,185,76,73,73,74,75,79,73,80,88,92,104,115,124,134,142,149,153,156,159,162,168,170,175,176,179,183,186,189,76,73,74,75,73,75,125,102,82,86,103,117,128,135,142,151,153,155,158,161,167,169,175,177,180,184,186,189,75,73,73,75,66,98,206,171,140,114,105,113,124,136,147,152,155,156,157,162,167,172,175,179,183,184,185,188,76,74,74,75,70,84,168,175,158,165,147,142,128,124,133,142,148,154,159,166,173,174,176,178,183,184,186,190,74,75,75,76,76,71,92,130,113,133,148,156,155,150,133,132,130,134,138,142,152,165,176,185,182,186,188,190,74,73,74,74,76,78,77,84,88,103,116,115,141,157,150,145,139,145,149,140,119,114,103,148,193,184,191,193,74,73,74,75,75,77,82,84,84,94,102,98,108,132,131,128,120,138,166,172,147,124,100,65,150,199,187,194,74,74,73,74,75,77,81,85,84,94,109,120,126,127,125,124,104,135,163,167,154,141,133,93,77,172,195,191,76,73,73,74,76,78,79,83,84,93,108,118,131,140,144,143,136,174,169,161,165,162,150,128,96,82,182,198,76,74,74,74,75,78,80,82,86,95,103,120,132,136,150,154,176,202,153,139,179,157,164,155,123,74,88,193,74,74,74,73,76,79,79,83,86,88,138,146,139,140,129,151,193,149,134,106,186,138,175,176,130,97,62,106,73,74,73,74,76,76,78,82,83,90,175,165,165,173,157,120,127,107,69,79,172,118,179,176,132,103,78,60,74,73,73,73,74,76,78,81,84,93,135,138,171,198,175,125,124,126,92,93,138,138,170,168,133,109,80,70,74,72,72,72,71,75,78,80,83,93,107,124,152,181,148,128,151,142,137,139,131,128,113,132,124,101,77,71,71,71,70,71,70,72,73,77,81,92,108,118,134,132,109,132,152,144,144,158,154,124,79,85,99,88,81,75,70,66,68,69,71,72,72,75,79,92,108,119,118,169,141,101,119,145,153,157,154,116,78,76,82,79,82,84,69,66,66,67,69,71,74,75,80,91,107,122,115,194,191,104,40,61,128,143,145,110,80,82,82,79,86,85,69,67,65,66,69,69,73,74,80,94,106,121,119,177,177,99,43,30,50,118,117,88,79,83,84,83,86,87,69,66,65,65,68,69,72,72,79,93,106,121,119,174,178,79,71,79,35,80,115,85,83,87,93,90,87,83,66,64,63,63,66,69,72,70,76,88,105,119,120,166,176,62,122,104,82,90,109,126,109,105,96,91,86,80,65,64,61,62,65,66,69,71,76,89,102,115,116,167,185,46,122,163,74,128,115,119,95,89,84,82,83,82,58,56,54,53,57,57,59,60,65,81,97,111,110,176,170,48,103,195,92,91,171,79,82,76,64,69,71,71,125,121,117,113,109,108,106,107,110,115,123,129,129,156,107,67,142,169,94,112,180,143,164,128,53,50,51,50,102,101,100,99,96,98,101,105,105,102,99,94,92,100,72,83,110,105,92,107,112,117,113,114,78,55,55,66,89,87,87,86,85,85,86,85,85,87,86,80,79,84,90,91,86,85,90,89,86,84,84,85,90,85,91,89
10,115,118,120,123,125,128,129,131,130,132,133,133,134,134,135,135,135,134,135,135,135,135,136,135,135,134,133,132,117,120,123,125,128,130,132,133,133,135,135,136,137,137,137,136,137,137,137,137,137,136,138,137,137,136,136,135,120,122,125,128,130,132,135,136,137,137,138,138,140,139,139,142,140,139,140,140,139,139,139,140,140,139,139,138,122,125,128,131,133,135,137,138,140,141,141,141,141,143,141,112,143,143,142,142,141,142,143,142,142,142,142,140,124,126,130,132,135,138,140,141,142,143,144,144,143,146,154,95,121,151,143,144,143,144,145,145,145,144,143,142,126,129,132,135,137,140,142,143,144,145,146,146,147,145,157,130,94,146,147,146,146,147,147,147,147,146,145,144,128,131,133,136,139,142,143,145,146,146,147,148,150,148,155,155,105,126,154,147,148,148,149,149,148,148,148,146,129,132,136,139,141,144,145,146,147,148,148,148,145,143,157,173,136,102,154,150,150,150,150,150,150,149,149,148,131,134,137,141,144,145,146,147,148,150,149,155,143,89,130,179,161,97,132,157,152,154,153,153,153,151,150,149,132,135,139,143,144,147,148,150,151,152,151,156,159,108,78,163,172,113,105,161,153,155,154,155,154,154,153,152,134,138,141,142,146,148,150,151,153,154,154,153,172,162,116,117,160,134,88,159,155,156,157,156,156,156,155,154,135,139,142,144,147,149,150,153,154,155,155,165,150,184,156,90,105,151,79,149,159,158,158,158,158,157,156,156,137,139,143,145,148,150,153,153,154,155,164,166,114,122,159,104,67,102,75,133,164,157,159,159,159,159,159,158,137,139,143,146,148,152,154,155,153,168,174,152,112,47,124,134,78,54,58,94,167,160,160,160,159,160,160,160,137,140,143,147,149,153,155,156,154,169,181,119,72,18,75,131,103,60,51,63,152,165,161,161,160,160,160,160,138,141,145,148,151,154,154,158,167,149,175,141,84,23,56,121,124,96,61,55,133,169,161,163,163,161,161,160,138,141,146,149,152,154,154,160,180,165,150,176,148,60,67,144,136,119,69,48,124,172,162,164,165,163,162,161,139,142,145,150,153,155,156,158,160,181,155,138,163,121,112,160,141,122,76,44,120,174,163,165,165,164,164,163,138,141,145,148,151,154,154,159,140,148,149,99,141,146,92,164,142,114,84,47,114,174,164,166,165,164,164,164,139,142,146,148,151,154,154,158,168,142,127,108,91,131,150,173,149,113,77,50,114,174,164,165,164,163,163,163,139,142,145,148,151,153,154,157,176,167,130,117,112,176,187,171,144,105,74,53,121,174,164,165,165,163,164,164,139,143,146,148,151,154,156,155,167,174,147,142,139,184,175,160,135,92,73,56,113,175,164,165,165,165,164,165,140,144,146,149,151,153,155,156,162,173,156,165,145,179,168,143,123,94,87,66,105,175,164,166,165,165,165,164,139,144,148,151,155,157,159,161,163,168,166,173,147,159,163,139,127,104,108,72,114,178,166,167,167,167,166,165,84,89,93,95,99,105,108,109,110,162,176,171,155,136,153,140,138,117,106,69,116,162,156,161,162,164,165,166,72,72,71,68,69,70,71,73,67,120,174,158,147,134,136,144,153,119,92,70,74,82,84,86,89,91,91,94,77,78,77,81,82,82,80,80,80,83,155,144,138,133,131,148,152,116,86,69,81,81,79,80,79,78,76,76,76,76,76,79,79,81,80,78,81,72,133,148,137,136,142,139,143,117,82,69,90,88,85,89,88,89,89,91
2,208,208,210,212,211,212,212,213,212,212,211,211,209,209,209,209,207,206,206,202,203,202,199,197,196,194,192,191,210,211,211,213,214,214,214,215,214,213,213,212,214,215,215,213,213,212,212,210,203,203,201,199,198,196,194,193,213,214,215,215,215,216,216,216,216,215,215,216,203,193,197,196,187,181,172,187,213,204,201,201,199,198,196,194,214,215,215,216,217,217,217,217,218,217,218,207,184,177,181,180,168,147,127,116,167,208,207,202,202,200,197,196,216,217,217,218,219,220,220,219,220,221,211,185,184,188,178,180,185,140,133,145,147,150,179,204,203,202,200,197,217,218,219,220,221,221,221,222,222,223,212,200,190,172,158,157,146,94,101,128,137,105,101,197,207,202,200,198,218,218,220,222,222,224,224,225,225,218,212,204,184,155,130,112,125,165,185,156,133,110,151,210,205,204,201,199,219,220,222,223,223,226,226,227,222,201,199,183,147,97,72,126,227,224,223,223,216,211,216,209,206,204,202,200,221,222,224,224,225,226,227,228,219,197,184,143,96,78,69,179,231,217,217,216,215,215,210,210,208,207,204,201,220,222,225,226,226,226,228,228,217,198,147,91,74,64,111,227,222,222,220,218,216,213,214,216,214,208,205,203,222,223,226,227,228,229,230,225,219,196,140,76,74,59,162,237,221,224,222,219,216,218,211,182,174,203,208,205,223,225,226,228,230,230,230,221,218,188,134,77,85,73,157,237,223,224,223,220,220,213,155,120,107,159,214,204,224,225,227,230,231,232,230,221,214,179,112,81,93,75,169,238,225,225,223,224,219,161,132,134,113,154,217,204,225,227,229,231,232,232,228,224,213,171,116,101,92,74,195,236,225,227,225,226,169,129,139,125,113,199,212,208,225,229,230,230,232,233,225,224,212,175,128,105,88,72,147,246,229,225,233,184,111,119,130,102,158,222,210,210,226,229,229,231,232,236,225,221,210,173,131,105,86,86,87,143,212,237,190,134,112,112,107,108,216,214,212,210,227,229,232,232,232,235,224,219,202,170,140,104,86,88,94,89,117,154,115,118,130,107,98,193,221,214,214,211,229,231,233,233,235,234,223,218,203,171,133,101,85,88,93,102,106,99,102,117,108,109,203,227,216,217,214,210,228,231,232,234,236,234,218,224,215,167,132,107,85,90,95,99,109,113,104,110,105,207,228,217,218,217,214,211,230,232,232,234,235,231,217,231,210,162,131,108,86,90,97,100,107,115,105,83,189,235,219,219,218,217,215,213,231,233,233,235,237,226,221,230,198,154,130,111,87,90,101,105,109,112,90,156,234,224,223,222,220,217,216,215,231,233,234,236,239,224,222,222,190,149,132,112,87,92,105,109,113,95,111,236,227,225,224,223,221,218,216,215,232,233,235,236,237,222,224,212,179,152,134,110,88,92,107,105,105,76,188,239,227,227,225,224,222,220,217,217,232,233,236,237,238,220,216,198,170,147,127,107,86,92,106,104,76,139,242,229,230,228,226,224,222,221,218,217,231,233,235,237,235,221,207,193,166,144,125,104,87,93,103,77,121,236,233,231,229,228,226,224,222,221,218,216,231,233,235,237,232,218,197,185,157,136,119,102,89,86,72,127,234,239,232,233,231,229,228,225,223,222,219,216,231,233,236,235,233,214,194,181,154,132,113,99,77,92,181,240,238,234,234,233,231,230,229,225,223,222,219,216,231,233,235,232,230,209,191,176,156,128,108,88,73,200,255,235,235,237,234,233,230,228,228,225,223,221,218,216
1,195,197,198,199,200,200,199,199,199,197,196,196,197,196,195,198,196,192,190,191,189,187,184,183,182,181,178,177,197,197,199,200,200,200,200,199,199,198,197,197,196,198,197,172,183,194,190,190,188,187,184,184,182,181,179,178,197,197,198,200,200,201,201,201,200,200,199,200,195,165,181,152,143,201,193,190,189,187,186,185,183,181,180,179,198,199,200,201,201,202,201,201,201,200,200,200,200,144,145,164,120,143,162,196,189,188,187,186,184,182,181,180,200,201,202,202,203,203,203,204,203,202,201,202,196,137,147,164,104,128,126,190,193,189,188,187,184,183,182,181,201,203,203,204,204,205,205,205,205,203,201,206,190,127,155,154,102,146,121,179,196,189,189,188,187,185,184,183,203,203,204,207,207,207,206,207,206,206,171,180,187,125,168,156,108,152,115,171,199,192,191,189,188,187,185,183,204,206,207,208,207,208,208,208,207,210,160,148,190,129,168,150,109,157,121,169,202,193,194,192,190,188,186,184,207,208,208,208,209,209,209,209,209,208,145,152,172,122,168,134,117,169,124,164,203,194,195,193,191,189,189,188,208,208,210,210,211,211,211,210,212,203,131,161,157,123,172,132,135,171,114,164,206,196,196,195,193,190,189,188,208,209,210,211,212,212,213,212,214,204,133,162,170,129,175,144,133,168,115,171,207,198,198,197,194,192,190,188,209,210,211,212,213,213,214,213,217,196,122,162,179,127,169,144,125,171,128,168,208,199,198,197,195,193,192,190,209,211,213,213,214,215,215,213,219,197,126,158,170,111,151,121,123,176,123,166,212,199,200,198,197,194,193,190,210,213,214,215,215,216,217,214,220,203,130,142,168,133,150,158,157,143,123,150,203,202,201,199,198,195,194,192,212,213,215,216,216,217,217,215,221,193,146,161,157,161,157,162,163,131,131,117,149,210,200,199,198,196,195,194,213,214,215,216,218,219,219,219,221,201,181,156,135,143,146,153,151,141,125,129,127,199,203,200,198,196,195,194,213,215,216,217,219,220,220,220,225,204,168,136,129,132,149,160,142,134,152,167,127,173,210,200,199,196,195,193,214,215,216,218,219,219,220,222,226,200,163,131,132,137,158,164,168,175,163,175,147,146,210,201,201,197,195,194,216,216,217,219,220,220,221,222,223,204,168,132,133,143,162,173,181,197,169,164,161,125,201,205,200,200,197,195,216,216,219,220,220,221,222,222,219,204,176,142,124,146,163,177,181,182,179,155,137,106,194,206,201,200,198,196,217,217,219,220,221,221,222,223,217,207,185,154,130,133,165,188,190,184,167,145,122,112,206,204,201,199,198,197,216,216,219,221,222,222,222,223,216,202,183,157,137,133,170,197,190,179,160,141,108,148,216,203,202,201,199,197,216,218,220,221,222,222,224,225,216,199,184,163,142,144,179,195,184,171,152,134,102,189,213,205,203,202,200,197,217,219,221,222,222,223,224,225,221,202,186,172,155,152,185,190,183,166,145,115,123,216,207,206,204,203,201,199,218,219,220,222,224,223,225,226,225,206,188,178,164,152,176,179,170,153,134,93,176,218,207,207,205,204,201,200,219,220,221,223,224,225,226,226,226,215,195,182,168,150,163,166,150,136,99,131,219,211,209,208,206,204,202,201,219,220,221,222,221,224,226,227,225,218,198,175,166,158,157,153,135,103,126,216,215,212,209,208,206,203,202,200,218,221,221,222,222,225,227,228,220,216,200,178,180,162,150,141,113,101,205,221,213,213,210,208,206,203,202,200
5,145,146,148,149,153,153,153,154,154,153,153,154,153,150,152,151,151,149,148,147,144,143,142,140,139,138,138,135,148,149,151,152,155,155,155,156,156,155,155,153,158,155,153,153,152,152,149,148,146,145,145,143,142,140,138,138,149,152,154,155,157,158,157,157,159,158,157,168,119,147,158,155,155,155,153,151,149,148,147,146,144,142,141,140,153,153,155,157,159,160,160,164,162,159,164,180,81,116,166,156,156,155,154,152,151,150,149,148,146,145,145,142,155,156,157,159,158,169,162,123,170,159,174,175,64,118,168,158,159,157,156,155,153,152,152,149,148,148,144,143,157,158,159,163,158,187,142,73,168,161,178,143,54,148,168,162,162,160,157,158,158,155,154,152,152,150,147,144,158,160,164,162,166,196,95,81,175,165,166,117,65,168,165,165,162,158,172,129,139,162,155,156,154,152,149,148,160,162,166,162,183,166,48,140,180,158,141,94,81,173,169,163,160,176,165,74,112,170,158,158,155,154,151,151,162,163,167,162,202,159,52,169,177,142,123,60,114,182,149,149,156,136,72,80,156,164,162,161,158,155,153,152,165,166,167,167,218,144,56,171,169,133,108,48,154,125,131,160,98,49,103,161,167,163,164,162,159,157,155,153,166,169,170,176,215,103,56,188,142,139,115,63,90,82,114,94,52,123,181,167,166,165,164,163,161,158,156,155,167,170,173,174,205,173,61,140,126,125,91,49,53,71,42,69,141,177,169,170,167,165,164,165,163,161,158,156,170,174,178,174,199,199,100,62,85,91,58,40,71,55,68,174,179,171,171,172,168,167,166,166,165,163,160,157,173,175,179,178,190,197,155,94,75,79,49,37,71,58,152,188,175,174,173,172,171,169,169,167,166,165,162,159,176,178,180,181,183,223,199,137,75,58,59,55,51,138,180,155,161,179,180,177,175,173,171,169,168,166,163,162,178,180,183,184,185,224,197,128,67,49,46,60,61,111,111,123,131,137,151,159,167,178,173,170,170,167,165,163,180,181,185,186,193,221,185,118,53,41,39,60,67,78,122,129,166,157,154,159,161,113,160,177,171,168,167,164,183,184,188,183,206,220,195,130,62,33,34,59,71,66,90,58,105,135,130,149,147,90,141,184,171,170,169,166,183,186,189,186,220,213,192,120,69,37,33,48,48,39,68,73,145,147,125,147,182,121,111,186,172,172,169,167,185,189,186,202,218,203,186,116,68,32,24,38,27,127,194,186,198,191,180,189,140,73,170,181,176,174,171,167,188,190,187,220,210,204,183,117,59,30,29,49,59,73,160,206,182,144,148,163,56,118,196,178,180,176,174,172,188,188,197,226,205,201,172,93,50,26,44,54,67,75,81,132,141,156,148,106,19,161,191,182,181,177,175,173,192,184,225,221,198,199,152,77,50,36,70,90,101,97,75,90,135,146,123,44,61,187,188,185,183,180,177,176,191,71,112,210,213,181,131,78,50,55,85,102,104,88,81,83,122,95,51,100,186,191,189,188,183,181,179,176,94,31,24,66,166,169,123,87,52,63,95,91,83,62,77,62,40,65,153,202,193,190,191,189,183,181,180,177,42,36,33,23,31,80,102,62,34,47,78,74,63,51,41,26,91,192,205,194,193,192,190,189,187,183,182,181,47,30,24,29,23,17,3,0,2,12,29,44,35,21,98,175,210,201,196,198,198,196,192,190,187,184,182,182,32,24,22,21,15,23,0,0,0,0,0,0,13,126,215,208,201,201,200,200,198,197,194,190,189,186,182,182
1,109,87,73,66,69,61,12,66,91,105,119,126,136,142,144,147,152,156,159,161,164,166,168,170,172,174,174,175,111,84,77,65,76,52,18,73,94,104,135,142,103,139,148,153,154,158,160,163,166,169,170,173,175,176,176,176,112,83,84,65,84,43,24,77,95,110,144,163,84,113,140,129,160,160,163,166,168,170,174,177,178,178,179,179,111,84,88,64,91,34,34,76,120,153,105,164,106,107,149,84,143,165,165,168,170,173,177,179,179,180,181,180,111,85,90,66,94,26,42,77,132,162,96,160,123,108,165,91,110,172,166,170,173,177,179,180,181,182,182,183,108,86,90,67,97,18,50,81,128,172,104,151,143,105,168,118,90,168,169,172,177,178,181,182,184,184,184,184,105,91,89,73,95,15,58,81,126,177,102,153,174,116,148,139,84,154,174,175,177,179,182,184,186,185,185,186,103,95,88,79,88,12,66,108,118,184,122,148,181,119,148,168,94,130,181,175,178,181,184,185,186,186,187,187,101,99,84,85,81,6,101,159,105,187,140,130,172,122,145,179,112,107,180,175,179,182,185,187,189,189,188,189,99,101,81,94,72,8,113,154,99,178,144,117,170,130,127,173,125,99,177,179,181,183,187,188,189,189,191,191,98,104,77,100,61,14,111,157,93,168,152,106,176,146,115,176,137,95,173,181,182,185,188,189,189,191,192,192,100,108,74,106,50,19,109,170,96,165,167,96,162,160,109,181,147,93,163,184,183,186,188,189,190,193,193,193,101,109,74,113,39,27,105,186,110,143,179,100,120,162,88,155,155,88,151,188,184,187,189,190,191,193,194,194,106,112,75,117,29,36,94,174,112,116,181,104,107,156,104,154,159,89,129,191,183,187,189,190,191,193,194,193,109,109,78,116,21,45,85,166,135,101,160,138,138,141,155,163,126,88,105,190,184,187,189,191,193,193,193,193,113,106,82,111,14,53,80,169,148,97,152,160,134,119,144,157,110,73,86,179,187,187,191,191,193,193,193,194,115,103,88,108,10,58,79,163,140,147,152,153,158,141,178,187,124,71,60,161,191,186,191,192,193,195,195,195,120,101,94,102,8,63,80,164,164,167,134,139,149,148,177,172,132,94,54,134,195,186,191,193,194,195,196,195,125,99,105,98,8,65,82,178,176,145,123,116,128,138,144,152,155,123,71,98,193,189,193,194,194,195,196,197,131,96,113,89,8,67,79,168,169,130,108,123,130,147,174,170,172,154,106,78,180,190,190,191,193,193,194,195,134,92,122,76,11,67,71,146,168,125,108,126,132,155,189,188,178,170,129,85,172,188,187,188,190,192,191,189,133,89,130,64,11,65,71,115,170,137,115,116,140,155,186,198,173,158,120,91,175,185,186,187,190,190,196,222,132,87,134,53,24,68,73,89,157,145,125,113,137,154,184,194,169,145,107,80,174,185,186,188,192,187,198,234,131,90,128,103,83,99,105,103,140,160,138,119,125,148,178,186,164,139,102,78,158,166,167,169,168,171,160,163,129,91,130,110,53,60,63,61,78,154,145,134,123,138,171,175,149,131,96,74,87,88,92,86,114,165,164,156,126,94,134,104,58,64,66,69,64,102,151,141,134,129,151,162,138,121,89,74,87,88,85,89,161,169,160,150,121,95,135,101,58,64,66,66,70,65,123,148,140,126,123,139,125,104,83,78,84,86,79,132,179,165,158,149,115,91,137,96,54,62,63,65,68,63,87,150,133,116,110,114,109,96,74,78,83,81,86,168,173,162,151,145
0,177,178,181,182,183,184,185,188,187,186,186,187,187,185,186,185,184,184,184,184,182,180,180,179,177,178,177,175,178,180,182,184,185,185,186,188,187,187,188,189,188,187,187,186,185,186,184,183,182,181,181,180,181,179,178,177,178,181,183,184,185,186,187,189,189,189,189,189,188,188,189,190,190,185,185,189,185,182,181,178,171,179,179,179,180,180,183,184,187,188,189,190,190,190,191,192,193,190,188,176,179,193,181,164,182,185,186,183,133,167,183,178,180,182,185,186,187,189,189,190,193,191,190,181,167,185,176,137,113,150,158,120,114,180,193,178,116,168,184,179,180,183,185,187,188,189,190,187,179,194,193,160,119,113,152,139,117,86,123,135,94,140,195,164,111,174,184,181,183,185,186,189,190,189,191,181,135,130,181,157,128,93,134,149,134,101,118,141,106,132,184,161,103,162,189,181,184,186,188,189,189,191,194,178,155,108,148,170,134,112,132,160,133,106,114,142,105,112,178,152,92,133,193,181,184,186,188,190,189,201,193,187,169,134,119,178,139,112,114,161,131,101,110,138,106,80,148,147,93,102,191,182,185,187,189,189,195,194,177,201,169,142,104,161,140,109,102,158,131,93,92,118,97,79,129,152,95,101,191,183,186,188,190,188,207,205,161,186,165,150,98,134,144,111,92,150,121,84,75,93,84,95,153,145,89,125,195,183,185,188,190,194,204,192,165,165,146,123,84,116,140,103,80,113,94,80,86,96,82,110,153,138,87,150,194,184,186,189,190,195,198,178,151,158,129,91,80,114,108,88,84,99,95,77,93,94,87,135,151,137,90,173,190,185,187,190,191,192,210,206,182,152,115,109,90,111,111,76,77,117,93,82,112,104,111,148,154,123,96,189,188,187,187,190,192,193,209,209,195,170,127,114,93,126,129,82,103,127,130,149,150,144,132,142,132,101,105,197,187,188,188,190,192,194,209,211,199,182,153,128,122,116,120,156,179,175,176,169,153,148,130,113,108,82,119,200,187,189,187,191,193,194,207,211,199,176,158,135,127,137,158,187,179,182,169,161,151,141,125,97,96,74,159,197,189,189,187,189,192,192,203,206,195,179,168,144,131,148,168,182,176,174,164,154,146,132,116,99,75,129,197,189,190,189,187,189,192,194,198,203,194,182,170,151,138,160,164,173,175,166,155,143,134,123,110,79,107,197,192,190,190,189,188,191,193,195,195,201,193,183,170,154,139,149,158,161,173,159,147,137,126,116,90,89,187,196,192,191,191,189,189,191,192,195,194,196,193,182,171,153,136,130,146,151,157,150,140,130,117,95,82,176,198,191,193,192,189,190,189,190,192,194,195,195,196,182,174,153,126,119,132,139,136,133,130,118,92,81,164,201,191,193,193,191,197,185,190,192,194,201,201,192,177,177,166,137,112,119,126,128,119,112,110,90,115,176,201,193,196,197,194,198,147,92,180,183,186,157,177,203,177,168,154,140,131,129,120,121,109,98,79,140,195,192,188,192,185,176,186,135,68,62,123,126,122,52,130,211,186,176,162,155,143,126,109,111,100,84,77,119,119,121,121,105,83,74,80,64,60,58,121,123,98,76,87,155,179,176,166,151,133,114,101,98,90,72,90,114,104,85,68,55,52,57,57,58,55,52,126,122,87,86,79,80,112,146,151,140,119,104,95,89,76,56,74,95,69,57,55,54,50,50,55,59,55,53,126,112,85,85,81,78,69,85,109,109,96,86,80,72,58,41,32,44,58,50,50,52,49,46,48,54,56,55
21,36,56,79,97,109,113,127,138,146,153,157,161,164,168,171,173,176,177,176,175,174,174,173,171,170,168,166,166,35,57,82,99,109,115,130,141,150,155,160,171,172,173,178,180,182,183,183,182,181,179,178,177,176,175,173,173,38,59,83,101,111,118,132,144,151,166,174,107,154,186,182,185,187,187,187,188,186,189,188,183,184,181,180,178,39,62,85,103,112,119,135,146,151,172,183,96,80,194,185,189,190,190,191,192,195,136,163,195,187,186,185,184,42,64,86,105,113,122,138,149,156,167,192,138,49,167,194,189,194,195,195,196,212,117,79,203,192,192,190,190,44,67,89,108,115,124,140,151,160,165,206,161,52,120,206,194,197,197,198,199,219,140,52,188,202,196,196,196,45,69,92,110,118,127,142,154,163,165,204,182,60,73,205,198,200,200,202,205,222,144,51,165,210,198,200,199,46,72,94,113,120,130,144,155,164,168,192,193,89,52,183,204,202,203,205,209,218,132,55,150,215,201,204,202,49,73,95,115,121,132,148,158,167,173,185,213,138,58,148,213,202,207,207,211,212,138,61,150,218,202,205,205,51,76,99,117,124,136,151,162,170,177,181,221,163,68,105,216,204,208,209,216,215,149,64,159,219,205,205,204,53,79,101,119,125,138,153,164,172,179,179,223,177,75,73,206,209,210,210,221,202,136,66,170,218,209,217,222,55,81,104,123,127,139,154,165,173,181,181,220,196,99,62,180,216,212,212,228,184,122,59,196,234,212,176,124,57,83,106,124,128,142,155,168,175,182,185,210,223,145,74,143,223,212,213,232,190,121,62,155,103,48,18,0,60,85,109,125,131,144,159,169,177,184,187,194,206,156,81,106,222,212,217,229,178,126,51,3,0,0,0,12,60,86,110,126,132,146,161,170,179,183,197,185,124,102,87,78,210,217,220,212,161,115,30,0,0,0,0,0,59,86,110,125,131,145,161,171,178,178,213,198,152,167,85,49,179,219,195,179,146,90,20,0,0,0,0,0,61,88,111,126,132,146,162,170,180,181,223,228,205,202,106,51,82,141,154,154,117,64,0,0,0,0,2,0,62,89,113,126,133,148,163,170,179,181,221,240,228,192,122,68,44,64,117,137,98,50,0,0,0,0,0,0,58,87,113,126,133,148,162,171,187,137,136,193,225,196,164,98,77,71,64,79,77,45,0,0,2,0,0,0,72,92,112,125,133,148,160,177,210,142,108,99,186,157,178,139,114,118,64,27,48,44,0,0,0,3,0,0,68,66,73,78,81,88,79,153,227,194,159,88,96,130,110,145,132,121,96,47,24,31,0,0,0,0,0,0,68,68,70,70,72,77,60,155,197,204,179,117,54,64,71,48,98,128,123,93,50,16,9,0,0,0,0,0,74,76,75,76,79,82,67,159,160,135,188,138,63,21,70,29,22,153,163,135,101,46,12,0,0,0,0,0,75,77,76,78,81,83,69,173,191,124,138,161,78,47,44,57,24,109,204,171,133,85,39,0,0,0,0,0,75,76,76,77,79,83,71,173,190,140,73,109,119,104,55,66,63,118,146,203,162,107,63,28,0,0,0,0,75,76,76,76,79,84,69,156,194,118,67,60,102,132,81,89,104,155,132,182,188,126,76,51,0,0,0,0,74,75,75,77,78,83,69,123,190,126,111,85,70,102,111,129,150,170,207,178,160,99,87,57,0,0,0,0,73,74,75,77,77,81,72,101,201,164,130,90,89,107,135,156,199,200,204,170,130,55,79,49,0,0,0,0
17,144,144,147,148,149,152,153,154,155,155,157,158,159,159,160,161,162,163,165,164,164,165,166,165,166,166,165,166,143,144,147,147,149,153,154,154,155,157,158,159,159,159,161,162,164,165,166,168,166,169,167,166,167,166,166,167,143,145,147,150,152,153,154,155,156,158,158,160,162,161,162,163,164,166,159,153,164,142,162,168,168,167,168,168,145,146,148,151,153,154,155,157,157,158,159,161,160,163,163,165,164,168,163,122,118,103,132,176,168,168,168,168,145,147,149,151,153,156,157,158,159,160,162,163,163,163,166,167,165,169,181,142,94,84,135,177,168,170,170,169,146,147,150,153,154,156,159,158,159,162,162,162,164,164,165,167,167,167,184,151,108,72,148,176,168,171,170,170,147,148,151,152,154,157,158,159,160,161,162,165,164,167,169,168,170,167,185,165,124,82,163,173,171,171,170,170,147,150,152,153,154,156,158,160,162,162,162,164,167,151,154,174,169,168,188,166,128,106,176,172,173,172,172,171,147,151,152,154,155,158,159,161,162,164,163,163,169,154,116,145,176,174,189,161,127,114,177,173,173,172,173,172,147,151,153,154,156,157,159,161,161,161,160,164,176,160,140,121,147,170,187,161,124,110,176,173,174,173,173,173,149,152,154,154,156,159,161,159,167,170,142,124,163,177,173,169,130,102,152,158,130,112,175,174,175,175,174,173,149,152,153,155,159,160,161,160,179,180,139,113,154,161,184,179,156,103,103,138,123,109,174,174,174,174,174,174,148,152,154,157,158,160,160,167,170,154,165,136,141,120,141,191,174,130,88,112,111,103,174,175,175,175,174,174,151,153,154,157,158,160,160,170,180,135,132,124,93,81,86,194,187,150,96,92,97,96,173,176,176,176,175,175,151,153,155,157,159,161,160,176,166,128,114,125,99,98,96,179,197,164,113,88,95,91,169,179,175,176,176,176,151,153,156,159,160,162,159,179,173,155,141,132,113,130,118,163,205,165,128,90,94,91,162,180,175,177,177,177,152,154,157,158,160,161,163,186,165,142,136,128,123,144,146,180,187,167,139,95,87,89,164,180,176,177,177,177,152,154,157,159,161,161,170,183,150,134,130,128,138,141,192,201,166,156,138,94,82,83,166,181,178,178,177,178,152,154,156,159,163,160,176,186,155,142,130,133,139,169,208,194,168,147,130,94,79,84,170,180,179,178,177,177,152,154,157,160,163,160,181,189,159,147,130,135,146,197,195,186,164,142,124,92,78,95,182,177,179,178,177,177,153,155,158,160,163,159,187,186,163,156,136,137,167,207,190,182,157,130,119,91,74,123,187,176,178,178,178,178,153,155,159,162,164,158,194,186,167,162,150,138,179,203,182,180,159,123,111,88,78,161,182,177,179,178,177,178,153,156,159,162,165,160,196,192,171,171,162,144,178,194,177,172,158,122,104,81,102,185,177,179,179,178,178,178,153,157,160,162,164,160,190,197,176,176,165,155,165,190,172,171,149,120,99,76,143,186,177,179,178,178,179,179,153,157,160,162,164,160,181,200,180,170,161,163,160,180,167,175,154,114,96,79,164,184,178,179,179,179,179,179,154,157,160,161,165,163,175,198,177,168,156,160,164,171,162,177,157,115,93,87,176,181,180,181,181,180,180,179,155,157,159,161,164,163,177,193,174,168,156,156,163,169,159,175,147,114,90,114,187,179,180,181,181,180,179,179,153,156,159,161,166,163,180,194,183,169,161,163,167,168,155,171,134,108,86,151,186,179,181,181,180,180,180,180
7,127,134,139,139,143,148,152,155,157,158,160,162,163,165,166,167,168,168,169,169,168,169,169,168,167,167,166,166,128,135,139,140,144,148,152,155,157,159,161,162,165,166,167,168,169,170,170,171,170,171,172,170,169,168,167,167,130,136,139,141,144,149,153,155,158,160,162,163,166,167,168,169,170,171,171,172,171,171,171,171,170,170,169,168,130,136,139,141,145,150,153,156,159,161,162,165,166,168,169,170,171,172,172,172,172,173,173,172,172,171,171,169,131,137,139,141,146,150,154,156,159,162,164,166,168,169,171,171,172,173,172,172,173,173,173,173,173,172,172,170,133,138,142,143,147,151,154,157,160,162,165,167,169,171,171,173,173,174,174,174,174,174,173,174,174,173,173,171,134,139,143,144,148,152,156,159,161,163,167,168,170,172,173,175,175,176,176,176,176,175,175,175,175,174,174,172,134,139,143,145,149,151,154,160,161,163,165,166,167,171,173,173,174,176,176,177,178,176,175,175,176,175,175,173,133,140,144,144,146,156,175,176,167,169,177,177,177,174,167,163,170,167,168,168,172,178,179,178,177,176,176,175,135,141,140,146,170,188,191,182,165,158,171,180,183,180,165,165,181,169,160,153,142,162,168,177,178,177,176,177,132,140,163,186,191,188,190,181,158,152,160,168,173,171,154,153,168,159,153,148,140,151,140,178,183,179,178,178,154,183,192,190,187,189,188,171,154,153,164,182,185,189,174,170,166,160,170,164,151,147,151,160,168,180,179,178,194,193,190,195,190,190,193,180,136,127,132,151,155,158,162,166,164,166,171,174,165,162,165,150,161,159,177,179,195,195,195,195,191,195,201,175,126,109,117,107,94,111,127,136,139,141,141,145,147,147,148,143,154,145,178,181,199,196,194,196,195,196,192,148,115,112,113,115,96,79,92,170,172,175,173,170,166,160,160,158,158,172,181,179,195,194,192,193,192,195,184,141,105,107,122,123,119,102,100,182,182,182,183,185,185,185,185,185,184,182,180,180,199,197,196,198,199,204,189,133,103,93,87,118,135,115,96,161,186,181,182,182,182,181,180,180,180,180,180,179,196,196,193,188,189,190,158,126,106,105,83,91,117,117,113,169,184,181,183,183,184,183,183,183,181,182,181,181,186,185,175,169,174,163,138,124,118,108,103,96,123,145,164,181,182,182,183,184,184,185,184,184,182,182,182,182,174,166,162,160,162,144,120,116,112,114,102,101,169,184,181,181,181,183,183,184,184,185,184,183,184,184,182,182,152,153,145,134,125,124,138,146,128,127,128,146,178,177,179,181,183,184,184,184,183,184,185,184,184,184,183,182,128,126,118,119,133,152,163,168,170,170,174,177,177,178,180,182,183,184,183,184,184,184,184,184,182,182,182,182,108,103,104,121,129,126,124,125,125,125,126,125,126,127,129,127,128,129,130,128,127,126,126,124,123,123,122,121,90,103,109,106,109,107,106,104,104,104,104,104,105,106,104,102,102,103,104,105,105,105,104,103,101,100,100,100,103,108,112,112,113,114,113,112,113,114,114,113,113,113,112,115,115,112,111,110,110,111,110,109,106,108,108,101,106,108,113,113,113,114,112,110,112,112,112,111,111,110,110,115,116,114,115,110,109,108,108,108,108,105,101,131,106,104,113,114,113,113,112,112,113,113,112,112,113,112,111,111,109,110,112,109,109,108,108,109,105,113,159,180,105,100,110,115,114,115,115,113,114,115,114,114,114,114,114,112,111,110,111,110,111,108,107,106,109,176,171,154
2,179,180,179,180,180,179,181,181,180,181,182,181,180,180,179,179,180,177,178,179,177,177,177,177,174,174,173,172,183,182,183,183,182,182,183,183,182,184,185,182,183,183,185,185,184,185,179,178,175,177,178,177,176,174,174,173,185,184,185,184,185,184,185,185,185,185,185,185,180,175,163,160,135,152,195,185,181,179,178,177,177,176,174,175,186,185,185,186,187,186,185,184,187,186,183,169,140,111,88,68,57,94,162,150,176,182,179,180,180,178,176,177,188,188,188,188,188,189,187,187,182,179,159,114,77,61,57,35,34,45,84,62,168,186,182,182,182,181,181,180,189,190,191,189,190,190,190,182,171,149,102,59,36,30,25,27,33,49,55,60,166,188,183,183,184,182,180,182,190,191,190,189,191,190,188,174,167,100,43,27,21,24,34,22,23,33,48,55,70,190,184,183,184,183,181,183,191,191,189,189,190,192,185,178,143,73,23,12,24,29,28,23,37,52,54,60,132,194,184,186,186,187,185,184,192,192,192,190,192,193,182,177,111,47,18,28,27,14,33,48,36,38,81,164,194,186,189,189,184,168,179,187,193,192,193,192,194,192,182,170,107,51,23,36,19,33,43,30,69,160,190,195,189,190,192,186,162,119,134,195,193,193,194,194,198,186,186,165,106,56,34,20,26,54,47,117,189,200,191,190,191,193,188,159,158,84,144,197,196,195,195,198,188,172,194,159,101,53,37,15,43,37,103,217,192,192,193,192,192,195,172,151,135,76,186,190,198,198,195,201,175,160,196,160,114,63,31,21,40,35,171,201,193,196,195,194,194,196,155,159,91,94,202,186,198,198,198,204,171,156,201,166,130,72,28,30,27,92,211,193,197,198,196,196,197,177,146,146,79,107,204,189,199,199,199,205,168,172,208,172,137,89,37,33,19,138,217,201,204,203,199,200,178,155,160,144,63,106,207,190,199,199,199,208,169,182,212,174,142,101,43,31,23,132,203,173,165,177,191,182,154,162,157,107,59,172,196,193,200,200,201,206,167,187,211,170,144,114,52,26,38,58,92,105,113,118,127,116,144,150,116,62,161,201,192,195,201,202,202,206,166,187,209,172,150,118,60,30,44,72,107,130,132,109,106,97,107,109,56,150,206,193,197,195,201,203,202,206,163,188,205,180,156,119,64,49,56,103,120,139,125,105,84,80,81,48,127,209,193,198,198,197,202,203,204,202,167,188,201,183,153,117,76,63,53,103,112,124,120,97,75,71,40,91,210,197,199,199,198,198,205,204,207,201,173,192,197,185,150,113,85,74,55,88,102,105,106,87,72,44,67,191,205,199,201,200,200,198,205,205,207,199,182,197,194,192,151,108,87,73,53,84,85,86,83,69,47,106,193,207,200,201,200,200,200,199,207,206,208,196,189,200,189,185,139,91,75,63,52,80,69,76,57,53,149,211,206,202,201,200,200,200,199,198,206,205,208,191,191,199,186,172,124,73,64,57,57,73,60,51,62,168,216,202,204,204,202,203,202,201,201,200,205,205,207,192,183,189,184,177,136,68,68,68,64,65,34,85,190,212,205,206,206,205,203,204,202,200,200,200,205,206,205,192,186,179,184,190,155,65,75,76,73,39,83,207,205,203,206,205,203,203,203,203,201,198,199,198,204,207,199,193,201,188,191,192,163,68,78,83,68,71,198,209,205,206,206,205,204,204,203,203,201,199,199,198,206,208,197,197,200,199,193,188,160,77,70,79,58,145,217,204,208,207,208,207,204,205,205,204,201,202,200,199
18,137,138,141,143,145,148,150,151,153,154,156,158,157,158,158,159,158,158,159,160,161,162,163,163,163,163,162,163,139,141,143,145,148,151,152,153,156,157,159,160,160,160,161,161,160,161,162,163,164,164,165,165,165,166,165,165,141,143,146,148,150,152,154,157,159,160,161,162,163,163,164,164,164,164,165,166,166,166,167,167,168,168,167,166,143,145,148,150,153,155,157,159,161,163,164,165,166,166,166,166,166,166,167,167,167,168,169,168,169,170,170,170,146,147,150,153,155,157,159,161,164,165,166,167,167,168,170,168,168,169,170,171,171,171,172,169,171,172,172,173,147,148,151,155,157,158,161,164,166,167,167,168,170,171,171,171,171,171,157,153,168,172,151,130,145,171,175,175,150,151,154,157,159,161,163,166,167,168,169,171,172,172,172,172,173,172,144,136,160,174,142,94,101,136,179,175,152,153,156,159,161,163,166,168,169,171,172,173,174,175,173,173,172,163,157,157,172,163,159,114,82,90,169,179,154,156,159,161,163,166,168,171,172,173,174,175,175,178,178,154,152,146,157,159,153,140,177,134,86,64,145,185,155,158,160,163,165,168,171,173,174,175,176,176,171,187,184,138,114,123,139,130,104,144,191,148,102,64,131,187,157,159,162,164,167,170,172,174,176,176,177,182,139,141,173,140,114,103,134,99,74,175,195,159,119,71,129,188,158,161,164,165,168,172,174,176,177,176,191,196,131,100,165,157,137,108,166,117,79,186,203,177,135,80,132,190,159,161,165,167,170,174,176,178,178,188,189,194,148,110,145,171,144,104,142,140,110,172,205,186,139,89,100,187,160,163,167,169,172,175,177,179,185,191,159,190,171,131,117,168,146,111,85,131,179,193,186,164,133,100,73,163,162,165,168,170,173,176,179,179,194,194,155,180,178,139,102,146,149,121,139,179,189,190,164,148,131,109,72,147,164,166,170,172,175,178,181,185,194,175,139,151,157,123,83,110,130,152,195,191,178,171,151,136,128,102,79,166,165,168,172,174,177,179,181,186,201,177,140,132,115,89,60,64,131,197,201,186,169,156,143,120,109,82,106,189,167,171,173,176,178,181,183,185,201,183,157,130,86,74,49,76,186,202,191,178,165,152,125,103,87,71,154,195,170,172,174,177,180,183,184,187,203,191,171,138,107,123,97,158,205,200,190,174,160,141,108,88,73,92,188,196,169,172,176,178,180,184,184,191,204,200,167,140,156,150,147,206,204,198,183,165,150,123,94,79,69,127,198,197,171,174,177,180,182,184,186,196,204,202,160,154,169,143,183,216,208,192,173,157,137,105,81,75,77,171,199,198,173,176,178,181,184,186,186,196,206,200,164,163,168,137,204,212,208,183,161,142,118,90,75,67,121,196,198,198,174,177,179,182,185,187,189,188,198,200,172,172,162,147,211,211,196,171,152,128,99,79,71,80,178,201,199,200,175,177,180,183,186,188,191,188,190,192,179,180,161,172,196,198,178,155,138,115,90,77,65,127,202,200,200,201,175,179,182,185,186,189,192,190,183,189,183,187,171,169,177,181,166,148,127,106,87,73,85,183,203,203,201,201,177,181,184,186,188,190,192,192,182,193,187,179,166,152,165,176,166,139,115,97,81,69,143,203,203,203,203,203,177,181,183,186,189,191,193,194,180,184,168,158,152,145,163,170,160,133,103,87,70,92,189,203,204,204,205,205,178,181,183,187,190,192,194,195,185,175,153,155,154,167,173,170,154,128,100,83,65,131,203,204,205,205,206,206
19,181,183,184,187,189,190,192,193,193,194,194,195,195,194,194,193,193,193,193,192,190,192,191,188,187,187,185,183,182,184,186,188,191,193,193,194,196,197,197,196,198,197,196,195,195,195,194,193,193,193,192,191,189,190,188,188,185,187,190,192,194,194,197,198,199,199,199,199,199,200,200,199,198,196,197,197,195,193,194,194,192,191,188,189,185,188,191,193,195,196,199,199,200,200,200,200,200,201,201,200,201,199,199,198,196,195,194,194,194,193,192,190,186,190,192,194,195,198,199,200,202,203,202,203,203,203,203,200,202,201,200,199,199,198,197,197,194,194,193,191,189,192,193,196,196,199,201,203,204,206,206,206,206,205,203,203,202,203,201,201,201,199,199,198,196,196,195,193,191,193,197,198,199,201,202,205,206,206,207,207,205,204,205,199,210,205,202,203,202,201,200,199,200,198,197,196,192,194,198,200,200,203,205,206,209,209,208,209,216,208,223,184,144,209,204,202,204,203,203,201,200,197,198,198,193,195,198,201,203,206,207,208,208,211,212,183,160,188,228,209,93,164,218,212,209,208,207,205,202,204,201,199,194,197,201,203,206,208,208,208,210,209,197,158,112,115,136,150,129,113,140,153,183,188,194,197,201,194,189,197,195,199,202,206,207,207,210,212,209,196,192,199,192,133,72,101,132,121,119,101,112,133,143,126,153,131,138,192,198,200,203,206,207,209,208,204,185,192,209,211,173,104,68,62,88,103,113,101,105,126,132,127,133,136,131,176,199,200,205,207,209,208,205,194,189,192,197,197,176,125,68,60,59,64,68,63,69,78,89,90,89,95,101,121,199,200,205,208,207,205,204,201,197,185,196,205,205,164,88,57,64,50,76,119,141,144,142,141,152,155,169,189,200,203,207,209,208,205,204,203,200,196,204,208,203,166,92,58,64,48,143,235,221,220,218,220,220,218,215,211,202,204,203,208,205,208,205,205,207,202,200,199,191,173,110,58,60,61,68,208,218,213,211,210,211,211,208,210,199,201,213,213,211,208,209,210,210,200,193,205,202,188,130,62,57,67,42,129,232,213,214,215,213,212,212,211,201,229,233,217,210,211,212,209,200,197,204,211,205,169,119,73,54,70,45,100,232,214,216,217,215,214,213,212,229,238,225,212,206,208,204,200,196,195,188,188,176,142,111,84,64,66,51,169,230,217,217,216,218,216,214,213,237,232,214,208,206,203,199,198,190,187,177,171,164,143,110,88,79,68,38,174,233,219,218,217,217,216,215,214,232,227,216,202,195,197,192,194,191,183,176,166,158,166,116,85,85,69,60,207,227,220,221,220,217,216,216,215,229,224,212,197,182,184,182,183,189,178,167,145,141,159,99,78,92,67,92,238,219,221,221,220,219,218,217,216,224,218,200,181,167,164,168,166,174,161,139,112,113,102,52,76,96,57,141,234,220,222,221,221,220,219,218,217,212,202,179,163,152,133,138,145,151,128,103,99,94,59,70,85,78,152,229,226,223,222,223,222,221,221,218,218,211,177,171,161,132,111,98,110,115,101,87,78,61,56,79,116,181,234,224,225,223,223,223,223,222,222,220,218,173,159,173,156,120,87,80,80,82,69,107,175,162,166,196,223,233,224,224,224,224,223,223,222,221,219,218,217,109,161,168,140,104,63,40,41,98,162,217,237,235,234,232,226,225,226,226,225,225,224,223,220,219,219,217,216,48,98,95,61,36,16,2,0,198,243,225,226,225,226,226,226,226,226,227,225,225,225,223,222,221,219,218,217
21,138,142,145,146,146,147,148,148,148,148,149,141,145,148,145,143,140,139,138,138,135,131,129,128,128,126,124,121,140,144,146,148,148,149,149,151,151,150,156,120,87,148,148,145,143,142,141,141,138,135,132,133,129,129,126,124,140,145,148,149,150,151,152,153,153,153,153,132,67,104,159,146,147,146,143,143,141,139,133,116,132,131,128,126,142,145,149,150,153,154,155,157,156,156,155,143,95,53,152,150,149,148,146,145,144,142,131,59,97,140,130,129,145,148,150,153,154,155,157,158,157,157,158,154,115,39,123,160,149,150,149,148,143,145,120,46,88,145,131,131,147,150,153,154,155,157,157,159,158,161,161,159,137,68,86,165,152,154,152,150,146,145,107,40,109,143,134,133,148,152,155,156,157,158,160,160,160,163,163,162,153,90,58,157,156,155,153,152,150,139,85,42,132,140,136,133,150,154,157,158,160,161,163,163,162,164,164,164,165,102,42,138,161,154,154,154,152,133,73,61,149,139,139,137,152,157,158,159,161,163,165,165,164,166,166,165,166,124,53,112,168,155,157,155,143,113,50,90,152,140,141,139,154,158,159,162,162,162,164,165,165,168,168,166,159,145,82,84,171,155,157,156,132,92,29,126,150,142,140,138,155,157,160,162,162,163,165,166,166,169,170,168,164,159,118,67,146,170,161,158,135,73,48,153,145,146,143,140,156,157,160,164,164,166,167,167,168,170,171,171,167,166,158,104,83,134,148,136,115,50,97,160,146,147,145,143,156,159,161,165,166,167,169,171,171,172,172,171,167,106,110,124,77,75,78,89,58,30,136,155,148,148,146,145,157,159,163,166,168,169,170,172,173,173,173,173,162,92,50,99,94,86,94,98,26,51,165,152,151,150,148,146,157,161,163,166,167,169,172,173,173,173,173,174,142,123,71,69,96,73,80,79,29,60,167,152,152,151,149,146,159,163,165,167,169,172,174,174,174,174,176,147,91,118,85,50,75,23,64,103,52,27,153,156,153,152,150,148,159,164,166,169,171,173,175,175,175,175,174,144,83,93,87,24,40,10,46,112,76,18,98,166,151,152,151,148,161,165,168,171,172,174,175,176,176,176,173,150,90,68,67,7,39,41,109,123,108,37,37,163,153,153,151,149,161,166,169,172,173,175,176,176,180,178,167,131,90,56,48,7,43,93,150,128,97,36,32,160,154,154,152,150,162,166,170,172,174,176,177,179,179,178,165,146,123,71,32,18,70,149,135,108,78,16,51,168,155,156,153,151,164,166,169,172,174,176,177,178,178,180,164,152,130,84,58,57,138,158,121,88,73,8,81,172,155,156,154,150,164,167,170,173,175,176,178,180,179,181,162,148,130,95,57,62,144,141,120,90,68,10,107,171,156,156,154,151,164,167,171,173,174,176,178,180,180,181,162,133,122,92,59,62,132,136,110,83,52,9,131,168,158,156,154,152,164,168,172,174,176,178,178,180,180,182,166,130,126,102,75,63,122,127,100,68,29,17,160,163,160,157,155,153,164,166,172,175,176,178,179,181,181,182,178,143,127,107,81,51,99,101,73,49,0,55,176,158,160,158,155,153,163,165,168,171,173,176,177,179,178,179,179,158,140,113,78,53,71,80,56,34,0,111,171,157,158,155,154,152,162,166,168,171,174,176,177,178,179,179,179,164,140,112,81,67,62,72,70,16,25,165,160,159,157,155,154,152,163,166,169,173,175,176,178,178,179,179,177,165,145,116,99,92,74,75,63,1,96,176,159,160,156,156,153,150
19,179,181,185,187,189,192,193,194,195,196,196,197,197,198,200,200,200,201,201,200,201,199,201,202,199,199,199,198,182,185,189,192,193,196,197,198,199,200,199,200,201,203,204,205,204,203,203,205,205,204,205,205,204,204,204,201,186,189,193,197,199,200,202,203,204,204,204,205,205,207,211,207,206,207,208,208,208,207,207,207,206,207,206,205,191,193,198,201,202,204,204,206,207,208,207,212,206,161,180,217,209,212,212,212,212,211,211,211,210,210,208,206,194,197,201,204,205,206,207,209,210,211,209,224,213,160,127,217,214,214,215,214,214,214,215,215,215,214,213,212,197,199,204,207,209,211,212,212,213,214,213,229,219,175,107,200,228,223,222,220,218,218,217,218,217,218,216,216,200,205,206,210,212,214,215,217,217,219,218,229,220,171,108,181,201,196,217,218,220,224,226,223,223,222,220,219,204,208,210,213,214,216,218,220,224,226,223,226,210,191,202,210,183,149,179,180,174,185,191,216,215,221,222,221,206,210,213,215,218,220,221,223,221,217,218,214,215,217,209,195,179,143,158,184,181,178,164,189,168,203,230,223,210,213,215,219,221,223,224,219,188,187,196,200,200,194,189,193,186,143,118,146,153,148,143,144,176,224,229,226,212,215,218,221,224,225,230,207,180,178,177,183,188,194,192,192,186,128,193,223,214,206,209,218,234,233,230,229,213,217,221,223,226,227,234,203,200,183,166,169,176,181,175,170,170,132,205,248,238,242,242,239,235,236,232,231,216,220,223,226,229,230,228,231,226,183,155,164,169,180,188,180,171,141,159,248,236,237,237,238,238,236,236,235,219,222,225,227,230,232,226,233,237,206,177,148,148,162,167,156,151,121,164,251,237,240,239,241,239,238,238,236,220,223,228,230,231,234,230,221,232,239,193,157,154,164,165,149,138,111,200,254,242,244,244,242,242,241,238,238,221,225,229,232,235,235,228,233,234,222,178,167,162,160,151,131,121,108,221,251,247,246,244,245,244,242,241,242,224,227,231,235,236,235,230,240,235,211,182,163,167,143,109,85,98,129,248,246,248,248,246,246,246,244,243,243,226,229,234,236,239,237,232,240,230,200,167,170,193,128,81,71,92,180,255,244,248,249,248,247,246,245,244,244,228,231,236,238,241,241,229,237,226,194,164,186,178,110,74,80,146,247,248,248,250,250,250,249,248,247,245,245,229,233,238,241,242,244,228,229,221,186,169,196,162,114,93,78,204,255,247,251,251,250,251,251,249,250,248,247,231,234,238,241,244,245,223,218,212,186,195,203,156,111,101,95,230,255,252,253,253,252,252,252,252,252,251,250,233,236,239,242,244,246,222,213,213,201,207,192,142,108,97,129,255,251,254,254,254,254,253,253,252,252,252,251,233,237,239,242,244,247,214,215,216,204,197,170,129,107,95,187,255,251,254,255,255,255,255,254,254,253,253,252,236,238,241,244,246,247,211,220,208,186,177,147,120,107,120,247,255,255,255,255,255,255,255,255,255,255,255,255,237,239,241,245,249,246,212,220,206,180,158,124,119,104,182,255,255,255,255,255,255,255,255,255,255,255,255,255,238,241,242,245,252,244,215,239,215,180,145,114,111,92,212,255,255,255,255,255,255,255,255,255,255,255,255,255,237,241,244,245,253,235,220,238,201,166,134,114,98,119,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,238,244,246,254,223,225,222,173,148,130,120,85,169,255,255,255,255,255,255,255,255,255,255,255,255,255,255
1,141,144,147,149,152,155,158,159,160,160,161,162,162,162,162,161,160,159,160,159,157,156,156,153,152,152,150,148,143,147,150,151,154,157,159,161,162,163,163,163,163,163,163,162,166,163,147,158,158,158,158,155,154,152,151,150,146,149,153,154,157,160,162,164,164,164,165,165,165,165,170,158,167,168,112,145,155,158,158,157,156,154,152,152,148,152,155,158,159,162,165,166,167,167,167,167,167,169,189,146,120,159,101,115,130,138,159,158,158,157,155,154,151,155,158,160,162,164,167,168,170,170,170,170,170,175,193,133,98,150,98,111,127,109,160,161,160,159,158,156,153,157,159,162,165,167,169,171,172,172,172,183,172,134,162,120,107,163,106,111,127,101,158,163,162,161,159,158,155,158,162,165,167,169,171,174,174,175,176,197,157,96,133,116,113,162,110,102,128,102,157,166,164,163,161,159,157,161,164,167,169,172,174,175,177,177,180,199,140,89,130,108,103,142,100,117,140,107,153,169,167,166,164,162,159,163,166,168,172,174,176,178,179,179,189,199,137,89,120,97,113,136,94,120,138,104,149,172,169,168,166,164,161,165,167,170,173,175,177,180,181,180,196,189,129,97,126,97,130,145,97,117,132,101,153,173,172,170,168,166,163,166,169,172,175,177,179,181,182,182,199,181,124,106,140,100,115,133,93,134,139,103,157,175,174,172,169,167,164,167,170,173,177,178,180,182,184,185,206,184,137,97,117,80,87,102,85,149,139,104,160,177,176,174,172,170,165,169,172,175,178,179,181,184,187,187,207,172,127,88,88,85,87,92,96,133,117,100,168,178,177,175,174,172,167,172,174,177,179,181,184,187,189,191,204,174,148,138,112,123,102,130,136,105,93,109,178,179,178,176,174,172,169,173,177,179,181,184,187,189,190,200,219,199,160,169,166,162,154,165,134,88,83,133,183,180,179,177,175,173,169,174,179,181,184,187,189,190,191,214,225,173,134,136,161,172,165,157,139,108,72,142,185,181,180,179,177,175,171,175,180,183,187,189,191,192,193,223,207,147,123,97,99,129,131,154,168,128,78,144,187,183,182,180,178,176,173,177,181,185,189,191,192,194,197,229,213,169,126,110,100,98,142,150,188,150,93,130,187,185,183,182,180,178,175,179,183,187,190,193,195,197,203,231,212,177,124,119,100,151,200,167,186,160,109,95,178,188,185,184,181,179,177,181,186,189,192,195,197,199,205,229,214,175,120,125,116,198,215,193,163,137,116,92,174,190,187,185,183,181,177,182,187,190,194,196,199,200,208,229,218,169,125,126,147,221,218,188,158,123,98,99,185,191,189,186,185,182,179,184,188,192,194,198,200,201,210,230,210,163,140,120,177,225,210,183,152,127,83,118,193,193,191,188,186,185,180,186,190,193,196,199,202,203,212,226,204,177,152,130,200,221,201,174,146,115,81,157,197,194,193,190,188,186,181,186,191,195,198,200,203,206,212,220,204,192,159,146,205,212,190,164,131,93,105,191,197,196,194,191,189,187,182,187,192,196,199,202,205,170,163,213,204,198,156,137,184,187,166,141,110,81,159,202,199,197,195,193,191,189,185,189,193,198,200,203,197,104,81,154,188,183,127,117,143,148,133,110,79,115,199,201,200,199,197,195,193,191,185,190,194,198,201,205,163,81,73,75,101,112,94,106,116,115,94,73,87,181,204,202,201,200,198,195,194,192,183,188,194,198,200,202,125,79,71,68,68,73,74,83,83,81,56,42,134,206,204,202,202,201,199,195,194,191
13,163,165,168,169,171,173,174,176,177,179,179,178,179,179,179,179,179,179,180,179,177,177,178,176,176,175,175,174,164,166,169,171,172,174,175,178,178,179,181,180,180,180,180,181,180,180,181,180,178,179,179,178,176,175,176,176,165,168,171,172,174,176,177,180,180,180,181,181,181,182,182,183,181,181,181,181,180,180,179,179,178,178,178,177,167,169,172,174,175,177,179,181,182,182,182,183,184,184,185,184,183,182,182,180,180,181,180,180,181,180,180,179,168,170,173,175,177,178,180,182,182,183,184,185,185,185,184,184,180,182,192,167,137,165,182,182,183,181,181,180,169,171,174,176,178,179,181,182,184,185,186,186,184,175,191,193,154,154,206,167,110,114,171,161,169,182,182,181,171,173,176,178,179,180,182,183,185,186,185,193,187,147,159,201,158,133,199,164,108,77,147,131,108,176,184,183,172,174,176,179,180,181,183,185,186,186,190,216,200,158,119,189,164,126,193,157,103,81,151,134,82,155,187,184,173,175,177,179,182,184,185,186,189,187,205,218,209,168,114,171,166,112,180,162,94,109,170,135,72,136,188,183,174,176,179,180,183,185,187,188,188,191,214,191,203,168,106,149,164,106,176,173,102,92,124,94,63,136,190,185,175,177,180,182,183,185,186,187,187,203,215,191,199,153,98,146,154,96,109,131,83,77,118,110,75,144,190,186,176,179,180,182,184,186,187,187,199,219,201,174,187,137,97,164,145,99,37,41,48,115,167,163,106,155,190,188,178,179,181,184,186,187,189,187,209,222,191,156,167,135,98,171,153,98,39,87,118,156,171,164,119,154,191,188,179,181,182,185,187,188,190,190,216,219,192,159,139,135,89,179,185,110,111,188,185,164,140,125,104,127,191,190,179,181,183,186,189,190,192,194,225,218,199,179,150,116,86,150,168,150,195,199,177,154,128,103,89,100,187,191,181,182,185,187,190,192,192,197,231,218,201,184,167,133,125,134,179,204,207,189,166,144,117,96,84,102,189,192,182,185,187,188,192,192,192,200,231,219,200,188,173,147,136,152,207,216,202,177,152,132,108,91,78,142,195,193,183,185,187,190,193,194,194,198,229,221,203,191,177,154,143,171,211,214,196,169,142,120,99,83,88,181,195,194,184,186,189,192,193,194,195,198,228,222,206,193,177,159,157,186,200,197,181,159,136,112,90,72,117,197,196,196,184,188,190,192,194,195,195,198,227,221,205,192,174,161,173,189,178,175,162,144,125,101,78,90,171,198,196,195,186,188,192,194,195,197,198,198,228,220,210,192,173,169,184,183,165,159,143,126,107,82,102,172,198,198,197,197,187,189,192,195,196,197,198,202,234,224,217,195,181,180,189,175,157,142,126,111,86,103,180,200,200,199,199,199,187,189,192,195,197,197,195,216,237,228,220,195,187,189,183,162,143,123,112,91,97,176,203,202,200,200,200,200,188,189,192,194,198,199,196,226,229,225,217,193,188,185,172,146,125,109,94,90,162,200,203,202,201,201,201,201,188,190,193,195,198,198,200,226,213,208,202,185,182,180,157,130,114,100,83,147,201,204,204,203,202,202,201,201,189,192,194,197,199,195,205,223,204,191,186,173,178,174,140,123,109,86,109,191,206,205,203,203,202,202,201,201,189,192,195,197,200,191,214,222,196,186,181,169,169,154,127,117,96,82,151,205,207,206,204,203,203,203,202,201,190,193,196,198,199,192,227,218,184,179,180,167,157,140,120,107,81,95,181,208,207,207,206,205,204,203,203,201
13,170,171,173,175,176,177,178,179,180,180,181,181,181,181,181,180,179,177,176,175,175,174,172,170,169,167,165,165,170,172,173,176,178,179,180,180,181,181,180,177,179,181,179,176,177,179,178,177,175,175,174,172,171,169,167,166,172,173,175,177,179,181,181,182,183,182,170,151,153,172,165,146,147,172,180,179,177,176,175,174,173,171,170,168,173,175,177,179,181,182,183,184,185,185,170,141,123,135,142,121,103,146,181,181,179,178,177,175,174,173,171,169,174,176,178,180,181,183,184,186,186,191,183,152,121,99,124,122,93,121,178,183,181,180,179,177,175,174,172,171,174,177,179,181,182,184,185,186,187,190,186,155,118,87,105,113,88,106,174,184,182,181,179,178,177,175,173,172,175,178,181,183,184,185,186,187,188,188,179,151,115,85,88,98,79,100,173,185,184,182,180,179,179,177,175,173,176,179,181,184,186,187,187,183,172,168,161,148,122,93,86,101,82,105,175,186,185,184,183,181,180,179,176,174,177,179,182,184,187,188,187,170,137,119,122,146,143,108,92,106,87,106,175,187,186,185,184,182,181,179,177,176,178,181,183,185,187,187,185,164,131,111,103,134,146,111,87,96,81,86,154,186,188,187,185,183,182,180,179,177,180,182,184,186,186,176,153,144,140,125,99,90,101,83,74,81,81,83,120,177,188,187,186,184,184,182,180,178,180,182,185,187,188,166,125,115,139,134,108,68,48,49,65,84,97,100,99,151,187,188,187,185,184,183,181,179,181,183,186,192,187,157,127,112,125,136,117,83,47,57,79,103,116,111,93,123,183,189,187,186,185,183,182,180,181,184,188,192,170,150,136,119,110,127,120,93,58,76,117,133,126,108,90,112,180,190,188,187,186,184,182,181,181,184,189,191,161,136,130,116,99,105,105,81,60,90,136,148,132,102,83,119,184,191,189,188,187,185,183,181,182,184,189,187,161,129,113,101,80,70,82,75,71,112,148,147,130,98,79,136,190,192,189,188,187,186,184,181,183,185,188,188,175,147,116,91,69,62,81,89,103,147,158,142,122,92,84,156,193,193,190,188,187,186,184,182,184,186,188,188,181,161,134,112,95,93,107,120,147,169,156,133,112,87,96,173,194,193,191,189,188,186,185,183,184,187,188,187,180,165,144,122,107,111,137,161,171,165,146,124,103,81,111,185,196,194,192,190,188,186,185,184,184,187,189,187,173,158,143,124,111,114,138,166,168,155,134,113,93,77,130,192,197,195,193,190,188,187,186,186,184,186,189,188,170,156,144,128,119,116,131,159,163,148,124,101,83,79,153,196,197,195,193,191,189,188,187,186,184,187,189,191,178,159,146,134,124,115,124,149,154,137,111,88,72,100,178,198,197,195,194,192,190,188,187,186,184,186,189,192,188,167,149,136,123,113,115,135,141,124,99,79,73,138,194,199,198,196,194,193,190,189,188,187,184,187,190,193,194,183,158,137,121,113,113,125,132,117,94,75,91,172,199,199,198,196,195,193,191,190,189,187,185,187,191,193,195,190,169,145,128,122,122,125,129,115,91,77,122,191,200,199,198,197,195,193,192,191,189,187,184,187,190,192,193,188,176,156,145,140,136,131,128,111,86,82,149,197,199,198,197,196,194,192,191,190,188,186,183,186,189,192,191,185,182,166,156,150,141,133,122,103,81,89,167,198,198,196,195,195,193,191,190,188,186,185,183,186,188,191,190,183,186,171,160,154,142,128,111,97,77,96,178,198,198,197,196,195,194,192,190,188,186,185
1,205,207,209,210,211,211,210,210,210,208,207,206,207,206,205,209,206,201,198,199,197,194,191,189,187,186,183,181,207,207,210,211,211,211,211,210,210,208,207,208,206,209,208,175,189,204,198,198,196,194,191,190,188,186,184,182,207,208,209,212,212,213,213,213,212,211,209,212,205,166,187,148,136,213,203,198,196,195,193,192,189,187,186,184,208,210,211,212,212,214,213,213,213,212,211,212,211,138,139,165,106,137,162,206,197,196,194,192,190,188,187,186,211,213,214,214,215,216,216,217,215,214,213,213,206,129,142,164,85,117,114,199,202,197,196,194,190,189,188,186,213,215,215,217,217,218,217,218,218,215,213,219,199,115,153,151,83,140,108,184,206,197,197,196,194,192,190,189,215,216,217,220,221,221,220,220,220,220,174,185,195,113,170,153,90,148,101,173,211,200,200,198,196,194,192,189,216,219,221,222,221,222,222,222,220,224,159,143,198,119,169,146,92,156,109,171,213,202,204,201,198,196,194,190,220,222,222,222,223,223,223,223,223,221,139,149,175,110,170,125,103,170,112,164,216,204,204,202,199,197,196,195,221,222,224,224,226,225,225,224,227,215,122,161,155,111,175,122,126,174,98,164,219,206,206,204,202,198,197,196,222,223,224,226,226,227,228,227,229,216,124,161,172,118,178,138,124,169,101,173,220,209,208,207,204,201,198,196,223,224,225,227,228,229,230,228,234,206,109,161,183,115,171,138,113,174,117,170,222,210,209,208,205,202,200,198,223,226,228,228,230,230,231,229,236,207,115,157,172,95,148,108,111,180,110,167,226,210,212,209,207,204,202,199,224,228,230,230,231,232,233,230,237,215,120,135,169,124,146,157,155,137,111,146,215,214,212,210,209,205,203,201,227,229,231,232,233,234,233,231,239,202,141,160,156,160,155,162,163,121,122,102,144,225,211,211,209,206,205,203,228,229,231,233,235,236,236,236,239,213,187,154,127,136,140,150,147,134,113,118,116,210,215,211,209,206,205,203,229,230,232,233,236,237,238,237,244,217,170,128,119,122,145,159,136,125,148,167,116,176,225,211,211,206,205,203,230,231,232,235,236,236,238,240,246,212,163,121,122,128,156,165,169,178,163,178,142,140,225,213,213,208,205,203,232,232,234,236,237,238,239,240,241,216,169,123,123,137,161,176,187,208,170,164,160,114,212,217,212,211,207,205,232,233,236,237,238,239,240,241,236,216,180,135,112,141,163,182,186,188,184,153,129,89,203,219,212,211,209,205,233,234,236,238,239,239,240,241,234,220,192,151,119,124,166,196,198,191,168,140,110,96,218,216,213,210,209,207,232,233,236,238,240,240,241,242,233,214,189,155,128,123,172,207,198,183,159,134,91,144,232,215,214,212,211,207,232,235,237,239,240,241,242,243,232,210,191,162,135,138,183,204,190,173,149,126,84,197,228,218,215,213,211,207,233,236,238,240,240,241,243,244,238,214,193,175,152,149,192,199,189,166,139,100,111,232,220,220,216,215,213,210,234,236,238,241,242,242,244,245,244,219,196,182,164,148,180,184,172,150,125,72,180,234,221,221,218,216,213,211,236,237,238,241,243,244,245,246,245,231,205,188,169,146,162,167,146,127,79,121,236,226,223,222,219,217,214,212,236,237,239,240,239,242,245,247,244,235,209,178,166,157,155,150,126,84,115,232,231,227,224,222,219,215,214,211,235,238,239,240,240,244,247,248,238,232,211,183,185,161,146,134,97,82,217,238,228,228,224,222,219,216,214,212
4,161,161,162,162,162,162,161,161,160,160,160,159,159,158,159,158,156,156,155,154,153,154,153,152,153,151,150,148,163,162,163,163,163,163,161,161,161,161,160,159,160,158,158,159,158,158,156,156,155,154,153,153,152,152,152,150,164,164,164,165,163,163,163,163,163,161,160,160,159,158,159,160,157,158,158,155,154,155,155,153,152,152,153,151,165,166,165,166,165,165,165,165,164,165,163,162,162,164,161,160,161,159,157,156,156,156,155,154,154,153,153,152,167,166,166,166,166,165,165,163,160,153,158,164,144,137,157,157,146,147,161,157,158,155,154,155,154,154,154,153,167,167,167,168,167,166,168,172,150,136,102,118,139,102,85,137,133,91,108,168,160,160,156,156,155,155,154,153,168,169,167,168,168,164,177,182,156,128,85,67,129,102,58,108,129,89,60,94,111,127,159,156,157,156,155,154,169,170,170,169,165,172,182,160,164,112,73,71,124,89,53,105,122,82,67,41,67,62,102,163,155,156,155,154,170,170,170,170,167,174,181,150,162,114,102,67,129,122,50,97,146,106,67,44,66,58,69,163,155,157,157,154,171,170,171,171,169,173,173,133,153,154,134,70,154,149,52,96,185,125,69,49,101,82,87,165,156,158,158,156,171,170,171,171,167,179,192,166,138,147,106,70,154,129,47,86,173,117,68,74,129,121,81,153,160,158,158,156,172,171,170,172,170,188,181,159,135,109,77,55,87,73,87,154,125,117,125,116,123,115,73,107,169,157,159,157,172,172,174,173,174,184,165,142,116,98,88,77,58,48,101,176,133,125,139,129,125,113,100,77,151,163,158,159,173,172,175,171,177,198,180,159,136,95,74,69,65,69,64,126,135,120,133,125,109,135,131,80,112,169,157,159,173,173,175,173,181,198,180,165,131,90,80,72,64,66,71,90,97,107,123,79,109,155,142,105,75,165,160,159,176,175,177,174,187,197,183,167,124,89,88,74,67,72,86,97,105,127,140,124,121,154,150,111,60,140,167,160,175,176,176,174,188,195,183,149,122,99,87,77,63,93,126,149,157,160,151,158,133,116,126,102,59,108,171,158,176,177,177,175,187,196,179,149,131,94,83,91,120,156,165,166,157,155,141,130,135,99,96,90,68,83,170,158,177,178,177,177,190,193,176,152,136,112,110,134,156,169,163,162,153,144,134,120,121,100,87,87,72,69,168,160,177,177,179,175,178,192,179,158,149,123,123,149,148,173,160,155,147,141,130,116,107,95,82,82,52,95,171,160,178,179,182,102,79,102,144,170,146,124,116,144,144,154,152,146,147,133,112,103,98,81,71,52,72,164,164,163,178,188,155,61,65,57,61,75,75,72,80,114,131,141,144,141,135,117,99,96,82,70,47,59,157,169,166,166,180,187,101,63,63,63,63,32,20,39,37,42,61,86,109,134,125,110,95,81,67,44,57,154,171,164,167,166,191,146,60,66,60,59,61,52,12,31,37,35,32,29,34,57,80,86,74,59,37,67,158,173,167,168,168,167,185,89,61,60,53,52,58,56,11,20,33,35,32,31,28,24,26,39,38,31,90,169,174,168,170,169,168,167,132,60,67,53,49,53,57,49,8,18,29,32,28,26,30,29,28,27,3,75,190,170,170,171,169,170,170,167,75,63,46,73,72,35,64,32,4,20,29,28,24,27,26,25,28,22,12,16,145,181,171,172,171,171,170,169,61,55,44,67,91,47,51,13,10,23,25,24,22,23,24,25,27,15,16,2,93,189,170,174,171,170,170,170
20,106,109,111,114,117,119,122,123,126,130,128,129,130,131,134,135,120,136,142,141,140,142,142,142,143,143,144,144,107,111,113,116,118,121,124,125,127,130,131,132,134,132,139,148,86,110,121,133,144,143,143,143,143,144,144,144,108,111,117,119,120,122,124,126,128,130,133,135,136,133,143,154,92,126,100,93,151,143,145,145,145,144,144,144,109,112,116,119,120,124,126,128,129,132,134,134,136,136,146,147,98,148,118,80,148,144,146,147,147,146,146,147,111,113,117,120,122,124,127,129,132,134,134,135,139,136,155,160,110,147,121,80,146,146,147,147,148,148,147,147,111,115,119,121,123,125,128,130,132,134,136,137,139,135,166,158,116,160,128,83,146,149,148,149,147,148,148,149,112,116,119,122,124,127,129,133,134,135,136,138,143,137,165,140,120,162,126,80,145,152,150,150,150,150,150,151,113,117,120,123,125,127,130,133,137,135,143,114,111,147,162,122,118,160,118,77,146,154,152,152,153,152,152,152,113,117,121,123,125,129,132,134,135,142,145,120,67,112,165,116,124,162,110,78,149,154,153,152,153,152,152,153,114,118,122,123,127,131,131,132,133,132,147,122,101,81,103,101,115,148,107,85,153,152,154,154,153,153,153,154,115,119,122,124,127,132,127,156,151,92,123,145,140,121,75,60,83,126,100,87,157,152,155,155,155,155,155,153,115,119,123,125,128,131,136,155,149,114,108,135,151,134,95,48,69,103,86,88,160,153,155,156,156,155,156,155,117,121,125,126,130,131,140,145,121,136,84,48,118,154,124,73,66,82,69,88,163,155,157,157,157,157,158,157,116,121,125,126,130,132,140,151,92,88,73,39,73,163,150,102,56,70,64,84,163,156,158,158,159,157,157,157,117,121,125,128,130,131,140,150,126,110,86,66,76,143,172,128,72,60,58,83,164,157,159,159,160,159,158,158,117,122,126,127,131,131,145,170,136,105,86,79,95,125,183,141,99,61,48,77,165,157,160,160,160,159,159,159,119,123,126,127,133,132,152,164,119,97,91,99,107,152,176,142,111,66,42,77,166,157,160,160,160,159,159,159,119,123,127,129,132,131,155,164,128,108,109,102,128,192,165,130,112,68,38,83,167,158,160,160,160,160,160,160,119,125,129,130,133,131,157,169,133,115,113,112,155,194,165,128,107,76,39,96,168,159,162,162,162,162,160,160,120,126,128,131,134,131,155,174,143,118,113,133,167,178,158,133,106,76,38,108,169,158,163,162,162,161,160,160,120,124,127,129,134,131,155,177,142,132,122,136,176,166,150,131,99,77,40,129,167,159,162,162,161,161,161,161,121,124,128,131,133,134,153,177,148,147,134,134,178,163,146,132,96,70,44,143,166,160,162,162,162,162,161,161,121,126,130,132,134,136,144,174,160,157,151,133,165,154,141,129,99,64,44,142,167,161,162,162,162,162,162,161,121,125,129,130,134,140,138,162,166,160,154,141,147,152,134,129,96,65,48,147,166,162,163,162,162,162,162,162,122,126,129,131,134,140,137,153,169,157,142,136,142,145,128,138,103,63,60,158,163,163,163,164,163,163,163,163,121,126,129,130,134,140,137,153,165,143,134,123,135,143,125,139,104,58,82,168,161,163,163,164,163,163,163,163,121,126,127,131,134,139,140,156,161,138,134,124,133,148,121,135,96,51,113,171,160,164,165,165,164,163,163,163,121,126,128,132,133,140,138,158,172,154,143,132,136,151,112,126,87,52,144,167,162,165,165,164,164,164,164,164
19,156,157,158,160,162,163,162,162,163,162,162,161,161,161,160,160,159,157,156,156,156,155,154,153,154,153,151,149,156,158,160,161,161,163,163,163,164,164,164,163,162,162,161,161,160,158,157,157,157,156,155,155,155,154,154,152,158,160,161,161,163,164,164,164,165,164,165,164,163,163,163,161,160,160,159,159,159,157,157,156,157,155,155,155,160,161,162,163,164,165,166,166,166,165,166,165,164,164,164,163,162,161,161,160,160,160,159,158,158,155,156,156,161,162,163,164,165,167,168,168,168,168,169,167,166,165,165,164,162,162,162,162,161,161,160,159,157,156,156,155,161,162,164,165,167,168,169,169,169,169,169,169,169,166,165,165,164,163,163,164,163,162,160,160,158,158,157,156,162,164,166,168,168,169,171,171,171,171,170,169,169,167,167,168,166,165,165,164,164,163,161,161,160,158,158,158,164,167,168,169,170,171,172,171,172,171,171,170,170,169,169,170,170,168,168,166,165,164,163,163,161,163,160,159,166,168,169,170,172,172,173,173,174,173,172,170,170,169,166,150,152,166,161,161,162,162,159,159,164,141,157,160,165,168,169,170,172,171,172,172,173,169,170,173,171,174,172,154,159,173,159,157,165,160,159,159,148,85,147,164,166,170,170,171,174,175,174,176,180,155,144,152,161,164,157,154,160,163,152,160,176,163,142,119,96,119,162,162,168,170,170,171,175,176,173,173,155,145,153,155,153,157,153,141,110,112,110,112,138,125,119,125,147,167,165,163,169,170,171,173,175,170,178,181,163,167,172,165,151,144,120,115,101,76,77,121,159,159,169,172,170,166,164,165,170,172,173,174,176,166,203,208,189,176,173,166,159,140,99,70,89,76,73,157,178,171,169,167,167,167,165,165,172,172,173,176,178,169,208,204,171,146,126,129,131,123,99,77,88,78,87,170,172,170,169,169,168,169,168,166,173,173,174,175,180,168,193,191,153,115,104,72,77,131,106,83,89,78,96,175,173,171,171,170,169,170,169,168,173,174,176,177,180,165,184,187,146,101,74,52,103,141,107,88,92,77,117,181,172,174,173,172,171,169,168,168,174,175,177,178,183,162,185,190,155,124,84,64,105,102,89,90,87,86,105,181,174,175,174,173,171,169,169,168,175,177,177,177,183,160,184,192,160,128,104,82,51,42,45,59,73,84,83,173,177,174,174,174,173,171,170,169,175,178,177,179,185,155,181,191,160,131,103,96,82,59,52,60,75,79,80,163,180,176,176,175,175,172,171,171,176,177,177,179,185,159,174,187,158,130,105,96,96,80,74,79,84,88,84,162,181,176,177,175,175,174,173,173,176,177,178,179,186,162,172,185,154,127,107,99,98,82,77,82,88,92,93,171,180,177,177,176,176,176,176,174,176,179,179,181,187,168,172,181,151,125,107,97,96,85,81,85,92,91,110,182,178,178,178,178,177,177,176,174,177,179,180,181,187,168,180,179,145,121,106,95,96,93,90,93,101,91,146,187,179,179,179,178,177,176,175,174,178,178,181,182,185,167,186,183,150,125,111,97,95,100,98,102,97,116,181,183,182,181,180,179,178,177,177,176,178,179,181,183,184,164,190,179,157,135,113,98,95,103,102,100,126,174,185,183,183,183,182,181,179,178,176,176,177,178,179,182,179,169,186,168,148,136,113,98,100,101,95,136,186,184,182,183,182,180,179,179,179,178,176,175,176,177,180,183,176,185,185,171,144,126,113,100,99,94,96,165,184,181,182,182,182,180,178,178,178,176,175,174
17,149,152,153,155,157,158,159,160,162,163,163,165,166,167,167,169,169,169,171,171,170,172,171,171,172,172,171,171,149,152,154,156,158,159,160,162,163,164,164,165,167,168,170,170,169,171,172,172,172,172,171,172,173,172,172,171,150,152,155,158,158,160,161,162,163,165,165,166,167,169,170,171,162,146,150,140,170,174,174,173,174,174,173,172,150,152,155,158,160,161,162,163,164,166,166,167,168,171,171,174,172,127,104,104,163,175,175,175,174,175,174,173,151,154,156,158,160,162,163,165,167,168,168,169,171,172,172,175,185,141,94,96,168,176,176,176,175,175,175,173,152,154,157,159,160,162,164,166,167,168,169,170,172,173,174,175,188,155,105,106,176,177,176,176,175,176,176,174,153,156,158,159,162,164,165,166,167,169,171,165,157,175,176,175,191,162,116,129,179,178,178,177,176,177,177,176,155,157,158,160,163,164,165,168,169,169,173,167,134,145,175,180,191,159,120,145,180,179,179,179,178,178,177,177,156,157,159,161,163,164,166,168,167,162,173,174,152,134,149,170,185,157,118,145,181,179,179,179,179,178,177,176,156,158,159,162,164,165,166,177,168,133,145,178,181,173,139,112,151,151,121,145,182,181,181,179,179,179,179,178,157,159,160,163,166,166,170,180,171,136,144,157,172,186,163,111,111,130,113,143,183,181,180,179,180,180,180,179,158,160,161,163,166,167,175,171,155,148,123,114,114,189,184,134,95,108,102,139,184,182,181,181,181,180,180,180,158,160,162,164,166,167,179,166,125,123,112,90,90,178,197,154,100,93,92,135,185,183,183,182,181,181,181,181,158,160,163,165,167,168,183,166,141,136,120,113,118,167,203,166,114,90,92,129,184,183,183,183,182,181,182,182,158,161,164,165,167,171,188,166,147,138,126,135,147,174,197,168,126,91,89,126,185,183,183,184,183,183,182,182,159,161,164,167,167,177,182,151,137,134,136,147,181,202,179,162,130,89,83,125,185,184,184,184,184,184,182,180,159,161,164,168,167,184,183,154,139,134,142,163,207,202,172,150,123,87,77,127,186,185,185,184,184,184,183,181,159,162,164,167,168,191,185,161,144,134,148,188,206,192,167,143,116,86,79,145,187,185,185,184,184,184,184,183,159,163,165,167,168,195,186,167,154,138,162,204,200,187,160,132,111,85,90,169,186,185,185,185,184,183,184,183,159,163,166,168,170,201,188,173,166,148,171,203,192,182,160,125,104,82,118,185,184,186,186,186,185,184,183,183,160,164,167,169,170,203,193,179,175,159,169,197,185,176,155,120,97,85,157,188,185,185,186,187,185,184,184,185,161,165,167,169,168,198,200,183,174,166,165,187,180,176,152,115,91,100,180,186,185,185,186,186,185,185,185,185,161,165,168,170,170,192,200,181,169,164,167,177,171,179,156,112,89,115,187,187,187,187,187,187,186,186,186,185,163,165,167,170,170,189,195,180,168,160,166,174,168,178,151,112,91,140,189,187,187,188,188,188,187,187,186,185,162,164,167,170,171,193,198,185,170,167,170,175,165,172,138,106,99,171,188,188,187,187,187,188,187,187,186,185,160,163,167,171,172,200,204,184,169,174,175,169,155,160,125,96,127,187,187,188,188,188,188,188,188,188,187,186,162,164,168,170,173,205,199,173,170,177,176,159,145,145,111,95,165,189,188,188,188,188,188,188,188,188,187,186,162,165,168,170,176,206,195,169,170,177,172,152,141,132,102,110,183,187,188,189,189,189,189,188,189,188,187,187
19,141,145,148,152,156,160,162,164,167,169,170,173,173,174,174,175,176,176,174,175,174,172,172,172,172,170,171,171,143,147,150,154,157,161,163,166,168,170,171,173,174,174,175,177,177,175,175,175,175,175,175,174,173,172,172,172,144,147,152,156,159,163,165,167,169,171,174,175,174,175,177,177,178,177,177,176,176,176,175,176,175,175,174,172,144,148,154,157,161,164,166,167,170,171,174,175,176,178,178,177,178,178,179,178,178,177,177,176,176,176,176,174,146,149,154,158,162,164,166,169,170,173,174,176,178,177,180,182,178,179,181,180,179,178,178,177,177,176,176,175,146,149,154,158,163,166,169,170,171,175,175,175,183,174,129,164,183,180,182,181,179,180,179,179,178,177,176,175,147,151,155,160,165,168,169,171,173,175,177,175,194,181,109,109,187,181,182,181,180,181,181,180,178,178,177,177,148,152,157,161,165,168,171,173,175,175,179,176,200,188,125,86,175,186,183,181,181,182,183,181,180,179,178,178,149,153,158,163,166,169,170,172,177,180,180,176,194,175,126,77,157,190,183,183,183,184,182,179,178,181,180,178,150,153,159,163,167,168,175,178,146,133,151,162,151,142,129,115,127,146,153,145,142,153,133,162,182,166,182,180,150,154,159,163,169,168,187,172,133,130,135,143,150,145,141,132,125,135,156,142,138,145,134,183,190,131,183,181,151,156,161,166,167,178,187,175,146,104,101,103,130,133,135,120,117,120,128,127,124,123,123,139,137,146,187,180,152,157,161,166,169,189,198,183,140,88,79,88,89,90,94,86,85,98,109,113,113,120,128,141,165,185,182,183,151,157,162,164,185,196,199,166,128,99,84,94,97,91,62,98,168,182,185,184,187,192,191,191,190,184,183,183,152,159,160,179,201,198,202,181,138,95,82,82,103,103,82,75,163,199,189,190,190,189,188,186,187,186,185,184,154,157,166,198,199,200,209,191,138,90,78,73,87,107,98,77,68,184,193,190,191,192,189,189,189,188,187,186,156,156,187,201,200,206,206,188,138,93,79,87,83,78,80,93,64,162,200,191,192,193,191,190,189,188,188,187,151,171,203,200,202,204,201,187,148,99,77,74,96,90,70,59,81,191,195,193,193,193,193,192,191,189,188,188,156,195,201,200,202,199,201,196,164,101,80,68,83,95,88,51,137,206,191,194,194,194,193,192,191,190,189,188,189,204,199,201,197,196,203,189,146,105,88,81,77,73,88,65,173,201,193,194,194,195,194,193,192,191,190,189,206,195,200,195,185,184,183,164,127,114,107,96,89,74,58,87,195,197,195,195,195,195,194,194,193,192,190,189,197,194,192,186,183,179,170,157,137,118,105,103,96,84,55,155,207,195,196,197,196,196,196,195,194,193,192,191,190,187,189,183,182,180,170,154,157,137,101,92,98,91,65,172,205,196,196,197,197,197,196,195,194,194,194,193,186,187,187,176,177,176,163,145,147,124,73,70,96,76,110,206,196,198,197,197,197,197,196,195,194,194,194,192,185,190,176,167,166,161,144,123,108,87,53,65,86,80,180,201,196,196,196,195,196,196,196,196,195,193,193,192,187,185,167,146,144,143,119,93,86,75,70,85,111,171,200,194,196,196,196,196,196,196,196,195,195,194,193,193,175,172,160,134,112,112,99,82,77,163,176,181,198,200,195,197,196,198,198,198,196,196,196,195,195,195,193,193,153,161,156,121,82,63,63,46,125,203,195,197,195,196,197,197,199,199,199,198,198,197,197,196,196,195,194,193
12,217,217,217,217,217,218,218,217,218,214,212,213,212,211,211,211,209,208,208,205,204,201,200,200,200,199,197,195,220,221,219,219,219,220,220,219,219,217,216,216,214,214,213,212,211,209,210,209,209,206,203,203,202,202,200,198,223,223,222,222,223,223,223,223,223,221,220,220,216,217,216,213,216,214,213,211,211,209,209,206,204,203,202,201,227,226,225,226,226,227,225,226,228,225,223,223,221,221,220,223,217,217,217,221,216,210,211,209,208,205,204,203,229,228,228,229,228,228,228,228,228,228,226,227,224,209,174,186,225,219,205,190,202,220,212,210,210,210,207,207,233,231,229,230,233,232,231,230,230,229,229,228,229,211,180,124,191,220,191,157,122,195,224,216,215,212,211,210,236,235,232,233,235,235,234,231,233,232,231,228,239,232,200,159,122,181,212,173,117,130,226,201,215,218,213,212,236,236,235,235,235,236,236,235,235,235,231,237,243,246,215,184,121,119,224,182,140,100,137,157,141,202,220,214,237,237,238,238,238,238,240,239,237,238,240,239,220,234,225,181,148,98,202,191,156,92,86,150,113,129,228,216,240,240,240,239,238,238,240,241,239,225,215,230,217,224,217,175,133,78,185,190,156,91,79,139,109,79,215,222,241,240,240,239,240,240,242,238,237,206,160,174,209,201,210,160,113,85,200,181,145,84,76,130,103,72,212,225,243,242,242,242,244,245,242,231,238,214,191,165,162,151,214,172,126,101,210,167,136,80,92,142,105,92,232,223,245,243,245,244,247,247,243,239,239,232,215,200,138,109,214,212,145,112,210,171,128,84,134,158,93,139,241,224,247,248,248,246,248,245,247,229,202,228,228,207,168,122,208,210,141,117,227,199,129,119,167,144,83,189,237,226,249,249,249,248,249,244,249,231,168,178,227,211,178,113,145,181,114,144,243,192,121,155,198,146,92,219,233,229,251,251,252,251,251,247,255,253,209,120,155,205,150,98,73,93,64,99,198,169,110,190,213,139,147,239,229,231,252,252,254,255,252,251,242,221,184,131,97,182,128,100,81,84,69,95,137,103,109,245,207,121,150,249,232,234,253,253,254,255,252,246,249,235,210,172,107,144,146,122,107,105,105,175,208,181,177,189,155,90,93,246,234,234,255,254,255,255,254,243,255,249,220,167,122,124,157,149,113,113,189,217,221,198,206,176,99,71,99,244,236,235,255,255,255,255,255,242,255,255,227,180,157,133,146,158,136,194,250,240,234,192,189,180,123,71,149,254,235,237,255,255,255,255,255,243,253,255,231,199,168,151,148,177,228,250,255,250,232,189,174,161,113,73,210,248,237,236,255,255,255,255,255,245,246,252,231,204,169,158,155,197,255,254,254,241,214,179,160,141,98,92,247,243,241,237,255,255,255,255,255,246,238,242,233,205,169,168,159,212,255,251,246,227,197,173,149,129,76,146,255,241,243,241,255,255,255,255,255,248,236,243,230,203,174,173,166,229,253,252,237,208,185,168,139,108,82,229,251,244,244,243,255,255,255,255,255,253,235,239,236,214,185,170,167,236,245,245,227,197,174,154,131,78,135,255,245,247,245,244,255,255,255,255,255,255,238,238,236,225,194,166,163,228,235,230,209,184,159,136,113,68,213,255,249,248,248,246,255,255,255,255,255,255,238,238,234,218,187,167,161,208,222,210,190,161,139,118,75,118,255,249,254,250,248,248,255,255,255,255,255,255,240,236,229,209,181,167,164,194,208,196,174,148,120,98,70,220,255,251,253,251,249,249
1,67,76,59,42,43,34,48,0,30,60,73,83,124,91,73,110,110,116,117,120,124,127,129,131,132,134,136,137,70,79,57,46,42,40,47,0,38,62,79,87,126,105,60,110,80,107,122,122,126,128,130,134,134,136,137,138,72,81,54,50,39,47,40,0,44,60,114,97,97,125,70,123,78,76,127,123,127,128,132,134,135,136,137,139,76,81,52,53,39,54,32,1,48,61,125,105,85,128,75,124,105,63,123,126,128,130,133,135,136,138,139,140,79,79,51,56,38,59,23,7,54,64,127,112,84,144,99,109,118,62,115,131,129,132,134,136,138,140,142,142,83,78,53,60,39,64,14,15,56,64,126,118,86,153,107,104,140,75,100,135,131,134,136,138,140,143,144,144,86,75,57,63,42,68,8,18,86,87,119,140,90,143,110,108,152,92,83,136,133,136,138,141,143,145,145,146,90,74,61,61,45,69,3,25,123,93,111,143,89,132,116,98,146,105,75,135,135,136,140,143,144,146,146,147,92,72,64,60,50,66,0,34,126,88,107,142,85,130,130,92,143,114,73,134,137,139,142,145,146,148,149,149,92,70,68,57,57,63,0,39,131,92,101,150,85,124,142,89,147,123,74,129,139,141,144,146,148,150,150,150,93,69,73,55,64,53,0,43,137,113,97,154,95,101,143,82,135,127,69,122,145,143,145,148,149,151,151,151,90,70,77,53,72,44,4,45,132,116,82,152,100,73,135,74,117,137,70,114,148,142,146,149,151,152,152,152,89,71,78,50,78,33,9,48,120,123,75,135,111,103,122,115,131,113,66,97,150,143,148,150,152,154,153,153,88,71,78,50,83,23,15,50,117,140,75,116,134,112,96,128,129,78,53,82,151,146,149,151,152,154,154,156,85,74,78,49,85,15,21,51,118,129,97,126,126,125,117,152,142,85,47,62,144,148,150,153,153,154,157,158,83,77,77,50,86,7,27,53,120,134,133,116,115,121,128,142,135,111,65,42,133,152,150,153,154,155,156,158,83,80,74,55,86,0,33,54,134,151,125,104,102,108,114,110,132,136,96,44,115,156,150,153,154,155,157,159,80,85,72,62,82,0,36,57,142,145,112,94,102,111,127,140,145,152,128,67,89,157,150,154,155,157,157,158,79,89,69,69,76,0,41,57,130,145,105,89,110,112,134,164,150,153,139,89,71,154,151,154,155,157,158,157,82,90,65,75,66,0,46,57,112,149,115,97,102,119,138,164,160,143,127,84,69,153,152,155,156,157,158,159,82,91,61,82,58,0,48,60,90,147,122,103,99,125,140,165,161,140,117,71,76,156,151,154,157,158,159,160,82,94,59,89,48,0,49,65,76,134,137,113,97,119,138,161,158,135,112,67,78,157,151,154,156,158,159,159,86,96,57,97,39,2,51,64,71,118,144,122,109,107,133,157,148,127,111,64,79,157,152,155,157,158,159,159,90,99,57,105,30,6,52,63,73,94,136,129,122,108,125,150,140,119,103,60,84,158,151,156,158,158,158,159,94,99,59,109,21,10,50,61,73,82,114,135,127,119,114,131,134,113,99,57,100,156,149,153,154,155,157,157,98,96,61,111,12,14,48,59,70,81,93,130,130,122,107,110,122,101,90,60,124,152,149,151,152,153,156,156,101,91,65,110,3,16,47,56,68,82,84,122,131,115,101,101,101,96,88,61,135,147,147,151,152,154,155,156,104,88,69,104,1,21,43,50,60,75,78,113,126,105,103,108,103,96,81,57,136,144,144,148,150,152,153,152
20,98,102,105,109,111,114,116,117,119,121,122,122,122,121,125,126,124,126,126,126,126,127,127,126,127,126,125,123,102,107,110,114,116,118,121,122,124,126,126,127,124,141,104,113,133,128,128,129,129,130,131,130,132,131,128,127,106,110,114,117,119,122,125,126,128,129,130,131,131,166,83,77,132,132,132,133,133,133,135,134,134,133,131,130,109,113,118,121,124,127,128,130,131,133,134,133,138,167,87,64,98,99,144,136,137,137,138,137,137,136,134,133,113,117,122,125,127,129,132,133,135,136,138,138,142,164,83,88,122,64,146,140,139,139,140,141,140,139,138,137,117,121,125,128,131,133,135,136,138,139,141,141,146,166,88,102,136,56,137,146,143,143,144,144,144,142,141,140,119,124,127,131,135,136,138,140,142,143,144,142,150,171,94,103,149,61,131,152,146,147,148,147,146,146,145,143,121,126,130,134,137,140,142,143,144,146,148,144,158,168,94,102,162,69,122,157,148,150,151,150,149,150,148,147,125,128,132,136,139,142,144,147,149,150,150,147,167,172,99,110,162,77,109,161,151,154,154,153,153,153,151,150,127,130,135,139,142,145,148,150,152,154,151,121,156,186,96,115,174,86,101,166,153,157,157,156,156,156,154,152,129,133,136,141,144,148,151,151,146,161,177,124,106,131,75,101,179,95,100,169,156,159,159,159,158,157,156,155,132,137,140,142,147,151,152,158,147,126,174,152,81,56,40,83,147,95,96,170,159,162,161,160,160,160,159,157,134,138,143,145,149,154,154,166,175,122,125,152,109,103,73,69,110,90,91,172,162,164,164,164,163,163,162,159,135,139,144,149,152,156,158,155,152,126,90,141,130,145,126,62,63,78,80,172,163,165,165,164,165,164,163,163,138,142,146,150,154,158,160,154,119,123,73,152,131,136,131,72,36,46,77,174,164,167,167,167,167,166,165,165,139,145,149,151,155,159,160,162,154,125,95,99,85,51,133,102,50,24,69,175,167,170,171,171,170,168,166,166,140,145,149,153,157,161,161,172,146,91,55,22,24,9,108,141,79,31,48,173,171,172,172,172,171,170,169,167,142,146,150,155,158,163,165,172,149,110,72,53,52,56,130,172,111,57,40,163,175,172,173,174,172,171,172,170,144,147,151,156,159,163,164,174,166,116,80,70,86,137,185,162,116,79,44,159,179,173,175,176,175,174,174,173,144,149,153,157,160,165,165,175,169,126,91,94,108,171,185,149,100,67,49,169,178,175,176,176,175,175,174,173,144,151,155,158,162,166,164,176,178,146,116,102,114,180,167,133,87,49,55,178,177,177,178,178,178,177,175,175,146,151,157,160,165,167,165,174,184,155,120,114,119,181,159,117,78,47,59,180,179,180,181,180,179,179,178,175,146,152,157,160,164,167,167,169,177,151,134,139,121,177,154,102,67,42,71,183,179,181,181,181,180,180,179,177,146,151,155,159,164,166,168,166,161,153,135,141,114,166,136,93,61,35,85,190,178,180,180,181,181,181,179,178,147,151,157,161,163,166,167,168,164,153,134,137,100,141,114,76,61,33,107,189,177,179,180,181,181,180,179,179,148,153,157,161,163,166,167,167,169,158,126,113,77,118,94,72,62,41,154,185,179,180,182,181,181,180,180,179,148,154,157,161,163,166,169,165,171,159,129,97,85,126,83,81,47,86,186,180,181,181,183,182,181,181,181,180,148,154,158,161,163,165,169,164,174,169,143,118,111,125,73,75,36,146,184,180,181,183,184,182,182,182,182,180
4,119,121,123,124,125,127,129,133,134,136,137,138,139,141,143,143,144,146,148,148,149,149,149,147,149,150,152,153,119,121,123,125,126,129,130,133,135,136,137,138,140,140,142,144,144,146,148,148,150,150,151,152,152,152,152,154,119,122,125,126,129,130,131,134,135,136,137,139,143,140,138,140,148,146,148,147,149,151,152,154,153,154,154,154,120,122,126,127,129,129,132,134,137,144,139,128,130,157,144,117,111,150,146,153,151,150,153,154,154,153,155,156,120,124,127,130,130,129,129,133,136,147,156,136,84,124,153,109,72,96,121,105,143,154,154,155,155,155,156,157,122,126,127,129,128,132,164,152,128,86,143,137,80,86,141,99,61,68,107,63,93,164,154,156,156,156,156,155,123,126,129,131,125,151,190,163,114,71,119,135,82,65,136,129,57,69,113,75,80,163,154,155,157,157,157,158,123,125,129,133,128,166,154,167,123,76,93,151,98,41,130,144,66,68,137,80,77,168,153,157,159,159,158,159,124,128,130,131,130,177,138,135,149,97,53,149,108,16,86,157,115,87,112,87,87,141,159,157,159,159,159,160,126,128,130,130,137,174,138,118,109,79,30,71,83,17,47,144,125,108,100,105,105,87,155,159,159,160,161,161,127,129,133,129,145,172,145,127,105,84,73,51,79,66,63,111,129,125,111,96,108,103,123,166,158,161,162,163,128,130,134,126,168,171,138,112,104,90,72,77,102,82,93,107,119,112,91,114,144,118,96,164,160,162,163,164,128,130,134,131,179,160,133,107,92,74,69,84,103,94,109,129,109,74,109,162,149,133,89,152,165,163,164,164,129,133,131,141,190,158,134,109,96,79,77,88,98,109,118,136,136,141,137,137,135,126,88,127,171,163,164,163,129,133,130,148,193,160,139,117,94,81,77,91,107,122,126,140,158,157,146,134,116,99,80,92,172,164,164,164,130,133,128,156,197,160,144,125,98,82,84,87,111,130,148,156,159,150,145,129,112,92,68,75,170,165,165,164,133,135,126,162,199,159,149,129,112,96,93,91,121,150,165,164,155,142,137,126,106,87,63,83,174,166,167,166,131,137,127,167,200,168,155,140,127,103,98,114,135,167,172,164,155,140,126,116,98,83,56,128,176,164,168,169,135,138,129,162,202,177,162,150,140,122,109,132,139,162,168,160,153,139,121,103,82,64,73,169,168,166,168,169,136,136,132,152,206,184,169,152,145,132,121,131,144,162,166,155,152,142,120,96,74,50,133,174,166,168,168,169,134,136,136,140,205,190,167,149,140,130,127,133,146,164,164,148,145,142,118,103,64,87,175,166,167,167,168,169,136,137,137,134,202,190,161,154,144,137,137,140,153,158,152,143,133,129,121,98,63,155,173,169,169,168,169,170,135,137,137,136,204,184,161,166,155,148,145,142,149,153,139,133,123,120,114,70,122,176,167,169,169,168,169,171,136,137,136,142,205,172,167,173,162,160,153,142,147,148,136,126,116,106,78,104,173,168,167,169,169,169,171,171,136,138,133,151,204,184,172,168,162,165,158,140,139,141,132,119,105,77,87,173,167,168,169,169,170,170,171,172,135,138,132,159,206,194,168,161,164,170,158,132,130,129,125,109,92,59,148,171,166,168,169,169,170,170,171,172,135,137,131,170,204,194,167,158,165,165,150,130,121,124,119,101,69,87,177,164,167,167,169,170,170,170,171,172,135,139,130,178,205,195,164,156,162,160,144,128,118,129,113,93,57,127,176,167,167,169,171,170,170,170,171,172
14,190,192,192,193,195,195,196,196,197,196,196,195,196,197,197,196,197,197,198,196,197,196,196,196,195,194,193,194,192,193,194,195,196,197,197,197,199,197,198,199,203,193,191,200,199,197,198,198,198,198,198,197,197,196,195,194,193,194,196,196,197,199,200,201,200,202,210,209,196,159,157,201,201,200,200,200,200,200,200,200,199,198,197,196,194,196,198,198,199,200,200,200,205,225,212,178,148,129,123,171,193,193,197,201,201,201,201,199,199,199,198,197,196,197,199,200,201,201,200,210,232,223,167,125,117,110,121,154,175,151,163,202,203,203,202,202,200,200,200,200,197,198,200,201,201,200,211,241,226,183,133,109,116,103,112,137,149,127,162,205,204,205,205,203,203,202,202,201,200,201,202,203,202,201,235,242,187,132,105,103,108,100,105,110,126,121,168,201,206,207,207,207,206,204,203,202,201,202,203,204,204,206,246,237,164,104,85,88,99,114,122,109,136,161,162,156,190,209,208,208,207,206,204,204,202,203,203,206,205,217,251,227,157,107,92,95,90,102,108,95,109,145,148,124,184,210,209,210,209,207,206,205,202,203,205,207,206,227,252,210,139,101,101,109,90,98,106,112,116,120,117,117,179,201,210,210,209,208,208,208,206,206,207,209,206,236,251,215,151,106,103,111,100,108,118,126,121,116,132,139,146,147,197,212,211,211,210,209,207,208,210,210,210,246,252,224,170,126,104,100,110,113,100,113,124,150,152,144,139,151,168,205,214,213,211,211,208,210,211,210,219,253,252,223,171,132,111,98,117,116,143,181,199,213,208,193,173,186,160,201,216,214,214,212,208,209,211,211,226,254,253,224,172,131,114,103,111,114,193,219,217,216,217,205,182,186,158,206,216,215,214,213,209,210,213,213,229,255,254,230,183,138,112,106,103,145,216,218,217,218,219,195,178,182,155,208,217,216,215,214,210,212,214,213,232,255,254,234,190,146,112,103,112,199,220,219,219,219,221,190,176,181,147,195,219,217,216,216,211,214,216,214,234,255,254,237,194,151,116,97,136,219,220,221,221,221,222,180,164,175,149,170,221,218,218,218,213,215,217,215,235,255,254,237,198,156,123,95,163,226,222,223,222,222,198,172,175,172,150,163,221,220,220,220,215,217,217,215,237,255,255,239,201,158,130,97,135,192,208,210,219,204,161,171,179,167,146,194,223,221,220,220,216,217,218,217,239,255,255,239,199,162,139,110,96,112,129,138,160,157,155,170,171,155,175,222,223,222,221,221,217,218,220,219,244,255,255,238,199,174,154,122,101,111,119,134,144,146,153,164,156,158,214,226,224,224,223,222,217,219,221,221,247,255,254,238,205,188,164,135,109,121,133,144,150,153,148,149,146,198,227,226,226,224,224,223,219,222,222,222,248,255,254,241,216,197,168,139,119,125,140,147,150,152,145,133,170,226,228,228,227,226,226,225,221,223,223,225,250,255,254,245,227,201,168,141,126,123,139,145,145,147,139,149,214,229,229,229,227,227,227,228,222,223,224,229,253,255,254,248,231,199,163,137,126,122,136,142,141,139,145,208,229,229,229,229,229,228,227,228,222,224,224,232,254,255,254,247,226,186,142,122,119,121,134,136,140,134,189,232,230,230,230,230,229,229,228,228,223,224,225,241,252,250,247,232,202,153,112,107,108,117,126,131,135,160,226,232,232,232,232,231,230,230,229,229,210,196,181,183,181,166,159,141,122,102,85,82,92,110,119,123,146,214,233,233,234,232,234,233,231,231,231,230
14,169,174,178,181,182,185,187,189,190,193,192,194,195,193,193,194,193,192,192,191,191,190,188,187,185,185,183,182,171,176,180,183,185,188,189,190,193,195,196,197,196,196,195,194,197,198,197,192,191,192,192,189,187,188,186,185,173,179,182,185,188,190,191,194,195,198,197,197,198,197,198,197,173,179,194,196,196,191,191,190,190,188,188,188,174,181,185,187,189,192,194,197,197,197,198,199,199,198,197,182,173,157,164,155,181,203,191,189,191,189,190,190,176,182,187,188,191,194,196,198,199,200,201,202,198,213,213,202,191,172,140,119,115,147,196,198,190,191,191,191,178,183,188,191,193,196,198,200,201,202,204,199,210,233,199,170,213,183,145,96,79,79,99,177,201,190,192,191,179,184,189,193,195,197,198,200,203,204,204,212,229,227,175,84,142,129,169,123,60,88,58,64,172,201,191,193,180,185,191,194,196,200,200,202,204,205,206,227,207,161,124,77,62,83,178,155,86,84,87,60,73,198,196,196,182,187,191,195,198,200,202,204,206,212,223,237,184,112,74,56,54,53,135,171,115,90,110,92,66,143,207,194,182,187,193,196,200,201,204,207,206,222,239,236,195,144,97,75,65,56,62,123,135,89,99,86,95,88,190,201,184,188,193,197,200,203,206,207,211,230,244,223,170,130,96,71,72,63,126,186,208,182,124,92,93,72,136,207,185,190,195,198,201,205,207,206,218,243,238,185,123,84,74,65,55,101,220,214,207,214,214,139,95,99,125,208,187,192,197,199,204,205,210,203,228,243,225,197,147,88,65,49,80,211,220,208,211,210,207,127,138,94,131,214,188,194,198,202,205,207,208,210,243,235,211,201,151,106,70,40,50,97,182,219,207,221,174,125,142,87,100,215,190,196,199,203,206,212,203,231,247,225,209,202,143,111,60,46,54,54,73,187,228,187,107,123,132,92,66,180,191,196,201,204,208,208,212,248,235,210,217,197,147,114,58,51,67,77,76,88,129,97,111,131,115,90,59,166,191,197,203,206,211,205,231,249,232,217,217,188,150,108,59,68,91,92,92,87,73,94,114,129,114,68,128,212,193,198,204,207,209,211,249,246,233,215,203,186,145,93,65,86,105,107,104,102,93,95,118,108,80,139,216,210,195,199,204,208,208,224,253,241,224,205,191,179,131,95,76,100,110,112,108,102,99,94,96,80,159,221,212,211,196,201,205,209,207,242,251,233,214,198,180,163,123,98,88,102,115,110,107,93,99,76,71,177,227,211,214,213,197,202,206,209,212,252,244,225,209,188,170,154,122,104,90,102,117,105,99,89,75,110,192,226,216,217,215,213,199,204,209,209,222,255,240,218,201,182,161,142,130,101,89,96,105,103,91,71,161,227,225,218,220,218,216,214,200,204,210,208,241,254,232,203,175,167,156,142,110,90,92,91,96,80,75,169,235,221,220,221,220,218,218,216,200,205,206,224,255,241,221,186,183,173,138,110,86,92,96,75,85,121,197,233,222,224,223,221,220,219,219,218,202,211,202,226,247,232,217,193,182,146,128,107,91,89,77,133,208,234,233,225,227,225,222,221,220,220,219,218,194,199,187,228,242,232,210,192,163,126,119,100,91,66,134,246,236,229,229,228,227,226,225,224,222,222,221,219,79,28,116,247,235,224,204,180,143,114,109,95,78,82,213,234,229,232,231,228,228,226,227,225,223,222,221,219,68,31,92,216,232,214,198,168,125,104,97,87,58,156,239,229,231,231,230,229,229,228,228,226,224,223,221,220
13,161,163,171,178,184,187,192,196,198,201,203,205,207,209,210,210,211,211,210,211,211,210,211,209,209,207,204,206,162,165,172,179,186,189,193,197,199,201,204,206,208,210,210,211,211,211,211,213,213,213,211,211,210,209,206,206,163,166,173,181,186,191,194,198,201,203,206,208,210,212,213,211,213,213,214,216,216,215,213,213,212,210,208,208,164,167,175,181,187,191,195,200,202,205,209,207,210,208,211,217,214,215,215,217,216,215,214,213,213,212,211,211,164,168,175,184,189,193,198,201,204,206,208,210,254,229,165,197,221,214,218,221,217,217,216,215,215,213,212,211,165,168,176,184,191,195,198,201,204,205,206,223,255,255,188,158,227,222,190,192,222,217,218,218,218,215,213,212,166,170,176,185,191,197,200,203,201,218,213,206,255,255,219,156,179,202,165,110,199,225,218,219,218,216,215,214,166,170,177,183,191,198,200,196,225,255,213,173,225,234,198,117,156,152,123,93,155,231,217,219,218,218,218,217,167,171,179,185,192,193,218,199,232,255,229,168,194,219,178,114,169,131,96,89,148,233,218,221,221,220,219,217,168,173,182,188,190,207,255,207,163,255,254,189,149,227,226,208,192,155,92,69,155,234,222,221,220,220,219,218,170,174,183,191,183,244,255,227,165,198,255,204,116,129,220,226,205,207,166,75,174,234,223,222,222,221,220,219,170,174,182,189,191,249,255,244,186,145,246,209,146,47,114,164,200,225,228,146,182,236,223,225,225,223,221,220,168,173,179,184,196,254,235,241,197,127,201,232,160,65,60,89,185,254,255,221,141,211,228,223,222,220,221,219,167,171,180,180,214,255,233,231,216,138,131,238,166,72,66,176,226,225,230,219,145,151,236,223,224,221,220,220,169,173,183,178,255,255,220,199,214,161,86,203,198,135,199,253,233,225,196,171,173,121,215,228,225,224,223,221,169,175,184,178,255,255,234,182,177,208,122,163,250,255,255,231,219,212,179,148,155,124,208,230,224,225,224,222,168,174,183,180,255,255,248,230,200,206,230,251,255,255,238,219,216,185,160,136,117,161,232,225,225,226,224,222,164,172,180,182,255,255,255,245,228,208,239,255,255,255,227,200,190,167,152,114,124,218,228,224,223,224,223,221,169,176,185,181,255,255,255,244,227,210,231,255,255,240,208,178,165,164,133,113,203,238,231,231,229,227,227,226,147,148,156,142,232,255,255,252,230,218,234,255,239,202,185,172,170,148,112,120,163,158,158,155,154,154,152,153,110,111,117,98,169,255,255,255,235,227,231,250,225,185,167,175,162,126,111,107,102,99,99,98,97,97,95,95,121,123,124,118,136,255,255,253,236,220,221,247,228,175,152,155,133,113,113,115,116,112,110,110,109,108,107,107,120,121,124,124,119,249,250,253,244,222,214,242,222,156,137,134,115,112,115,112,112,114,112,110,109,109,109,107,124,124,124,126,111,230,252,255,254,231,207,233,219,153,134,121,111,116,115,112,112,112,113,111,110,111,109,107,125,128,127,129,109,214,255,255,255,243,203,222,223,160,129,111,111,118,115,113,111,112,112,110,109,110,107,107,123,126,127,131,113,183,255,255,255,241,203,212,225,162,123,106,112,119,117,114,112,114,111,109,111,110,108,100,124,126,125,125,121,144,255,255,236,220,201,204,215,162,123,103,114,119,115,114,113,117,112,108,111,112,99,185,124,125,126,127,126,124,252,255,213,211,215,194,202,168,124,101,111,119,116,115,114,118,111,109,111,100,155,255
19,157,161,165,168,172,174,176,178,178,180,180,179,180,179,180,180,181,179,178,178,178,177,176,173,181,185,156,203,161,165,169,172,174,177,180,181,183,183,184,184,183,185,183,183,183,182,182,182,181,181,180,175,191,150,147,207,165,168,172,176,178,181,183,186,187,188,188,188,189,183,190,188,187,186,186,186,185,184,184,182,182,186,200,204,168,173,176,179,183,185,188,189,189,191,190,202,198,144,146,195,190,190,189,189,188,187,186,186,182,191,185,159,171,176,179,183,186,189,192,193,194,196,192,215,196,139,104,183,197,192,192,192,192,191,189,188,186,187,172,163,177,181,184,187,191,194,195,196,198,201,197,218,196,151,100,157,206,195,195,194,194,194,192,191,190,189,185,187,179,184,187,191,195,197,199,200,201,203,200,220,203,162,104,132,211,197,198,198,197,197,195,194,193,192,188,191,182,185,190,195,198,200,202,204,205,208,204,221,200,153,94,107,214,206,205,203,202,201,199,197,195,194,192,195,185,189,194,198,200,203,205,207,208,212,209,222,195,153,126,145,184,179,190,193,195,196,201,205,203,200,196,197,187,192,196,199,202,207,210,213,212,209,205,211,202,195,200,201,170,142,163,177,163,154,160,161,179,190,197,202,189,194,198,201,206,208,203,185,187,202,204,211,207,210,207,189,172,155,167,185,170,166,164,148,177,177,162,201,192,196,200,204,205,222,204,181,189,194,193,195,192,186,181,169,155,127,127,146,155,158,159,147,156,165,136,185,193,197,202,207,209,230,205,192,187,173,176,182,179,175,176,172,163,113,150,164,163,157,149,145,149,169,83,166,196,199,204,206,215,207,161,151,162,171,187,189,181,181,178,177,172,131,189,234,223,219,216,211,221,185,66,116,197,201,206,207,226,189,162,157,159,169,174,171,176,178,175,175,158,112,178,227,217,218,216,216,226,118,77,75,198,201,206,211,218,174,174,175,171,161,134,142,161,150,137,143,127,103,211,221,223,229,228,221,180,85,80,81,199,203,208,212,219,209,190,166,157,164,169,165,161,155,148,144,132,121,229,234,215,182,140,98,77,79,80,82,200,204,209,212,224,234,208,164,140,159,168,167,166,164,157,148,145,120,173,149,79,64,72,65,67,75,76,78,200,205,208,214,225,234,208,167,153,147,137,140,146,145,137,130,125,111,66,50,62,55,61,58,74,72,70,75,202,208,209,215,223,223,218,176,158,139,121,124,139,139,130,124,111,90,67,66,68,62,55,52,65,67,63,71,202,208,209,220,227,229,229,190,155,130,147,156,153,147,137,130,109,59,57,71,61,59,60,59,53,57,59,64,202,207,208,219,230,230,233,200,152,127,140,146,142,133,120,114,106,58,46,62,64,61,51,53,60,58,58,59,201,207,207,214,230,226,214,176,149,140,139,146,145,128,115,120,99,60,51,51,61,63,55,42,52,54,65,64,201,207,208,214,227,219,204,171,151,148,139,141,126,108,117,121,57,53,58,49,50,63,62,46,44,47,58,62,201,207,207,214,222,217,195,168,147,149,143,125,96,87,97,85,38,41,53,49,49,53,65,55,40,46,44,42,204,209,207,212,216,209,174,147,151,177,144,94,86,58,22,50,58,38,44,50,49,51,54,62,45,42,44,41,194,198,198,216,211,199,172,153,168,171,133,91,85,49,16,32,58,52,42,50,45,46,48,53,54,36,42,40,127,123,181,221,208,198,178,173,179,160,126,98,71,62,23,21,45,58,49,46,44,38,45,45,53,42,35,41
7,192,194,196,198,200,201,202,203,204,204,205,205,206,207,207,206,205,205,206,205,205,205,203,202,201,200,197,197,194,196,198,200,202,203,205,207,207,206,207,207,208,208,208,208,207,207,207,207,207,208,206,205,203,201,200,199,196,199,201,201,203,205,207,208,208,208,209,208,209,208,208,209,209,209,208,208,208,209,208,207,206,204,202,200,197,200,201,203,205,207,207,208,210,210,210,211,211,210,211,212,211,212,212,211,210,210,210,208,208,206,204,203,199,201,202,205,206,208,209,210,212,211,211,213,213,214,214,215,215,214,213,213,213,212,212,211,209,207,206,206,200,202,205,207,208,210,212,212,213,214,214,215,215,216,215,215,216,215,215,215,215,214,213,211,210,209,208,207,201,205,208,209,211,212,213,214,215,215,216,216,217,217,216,216,216,217,217,217,217,215,214,214,212,212,211,209,203,207,210,211,213,214,214,216,217,217,218,218,217,219,219,218,219,219,219,219,218,217,216,215,214,214,213,210,207,208,210,212,214,215,216,218,219,219,220,221,219,220,221,221,221,221,221,220,220,218,217,217,216,215,214,213,206,208,211,214,216,217,218,218,222,222,213,217,220,221,221,221,222,223,223,222,220,220,217,218,219,216,216,214,208,211,213,215,216,218,222,228,234,228,196,180,199,213,212,211,213,217,212,215,209,215,204,236,223,213,217,216,208,212,214,218,223,230,232,232,234,232,216,171,172,191,200,201,199,192,193,197,196,200,189,197,185,215,220,218,210,217,227,233,233,232,229,225,218,217,204,169,159,170,187,195,197,198,192,185,188,189,179,187,182,207,218,215,231,235,234,234,228,223,217,207,204,216,216,178,153,149,152,164,175,180,173,179,184,185,182,193,188,196,193,204,241,234,229,222,214,211,207,207,212,220,216,181,157,161,162,158,147,135,164,173,172,171,168,170,178,179,188,218,238,230,221,210,203,199,200,201,208,214,196,167,150,155,169,173,163,148,176,233,227,223,222,223,221,223,226,225,233,228,220,209,201,200,200,196,197,209,206,171,140,138,152,157,158,149,165,235,231,230,230,229,228,228,227,225,230,227,222,214,207,204,206,205,204,215,215,180,158,164,164,157,153,132,212,236,232,232,230,230,229,228,228,226,224,220,218,216,213,209,206,204,204,208,206,181,167,173,171,163,151,175,238,234,232,231,231,231,231,230,229,228,208,207,211,215,216,211,204,200,199,191,176,164,145,143,150,155,139,221,234,234,234,232,231,232,231,230,230,231,136,148,174,203,210,202,191,182,172,162,157,154,103,98,118,142,165,237,235,235,234,233,231,232,232,234,230,175,65,66,80,112,153,170,162,168,178,202,224,232,154,121,144,169,223,237,237,236,235,235,235,237,221,201,170,122,61,57,54,53,57,90,208,230,236,237,237,238,225,205,225,236,239,237,237,237,236,239,234,194,142,125,110,100,55,52,50,48,38,107,244,234,235,235,236,237,238,239,238,237,237,237,236,237,239,218,149,113,117,114,104,96,50,48,44,43,34,98,245,235,236,237,238,238,238,238,238,239,238,237,237,240,238,154,105,82,95,99,93,92,48,48,48,46,25,91,236,227,230,232,233,234,236,236,237,238,239,239,241,223,150,128,107,77,72,89,86,83,56,56,51,39,19,62,154,152,153,157,159,162,165,168,168,171,173,172,180,155,93,115,106,70,64,74,78,76,65,60,45,24,22,56,128,125,123,125,126,127,127,128,130,128,128,132,147,129,80,108,100,66,59,68,71,73
2,176,177,178,178,178,180,180,180,179,178,179,179,177,178,177,176,175,173,171,169,170,169,167,165,163,162,161,159,177,178,180,181,180,181,182,182,183,182,181,179,179,182,181,180,180,181,179,174,170,170,167,165,164,162,160,159,179,180,182,183,184,184,184,184,183,183,183,183,180,165,166,168,161,155,148,156,176,170,167,167,167,164,162,161,183,183,184,185,185,185,186,186,186,185,186,181,159,145,147,149,145,121,99,86,135,176,176,169,168,167,165,164,184,185,185,186,187,186,187,187,187,187,186,168,154,152,142,135,148,113,86,109,118,121,147,173,170,168,167,165,186,186,187,188,188,189,189,188,190,191,187,178,166,146,124,108,94,58,52,81,94,68,57,156,177,169,168,165,186,188,190,190,190,191,192,192,192,184,172,169,152,106,72,58,71,89,145,139,101,71,104,172,173,172,170,167,187,188,191,192,192,193,193,194,194,179,164,147,107,56,35,46,174,194,189,191,185,176,183,177,174,173,171,168,189,189,192,192,193,196,195,196,193,179,153,98,55,44,36,90,199,184,185,185,183,182,179,178,175,175,173,170,190,193,193,194,195,196,197,197,193,181,144,65,36,35,39,160,196,188,187,186,185,182,180,182,179,176,174,171,192,193,194,195,196,196,198,196,192,179,137,64,38,30,76,201,190,192,189,188,186,185,185,171,165,177,174,171,192,194,196,197,199,198,201,194,188,174,118,49,51,43,85,201,191,193,191,187,186,188,142,101,89,141,182,172,194,195,195,198,201,200,201,194,190,167,105,62,62,42,99,205,192,195,192,189,192,147,103,103,81,122,185,173,195,196,197,199,200,202,201,191,190,167,112,79,60,35,127,210,191,195,192,196,158,103,111,99,79,164,180,175,195,197,200,201,201,203,199,190,190,164,112,81,57,40,84,207,201,192,202,170,91,90,101,74,120,189,177,177,196,200,201,201,202,204,199,190,185,156,118,84,53,52,49,93,167,208,175,111,82,82,80,71,181,183,179,178,197,199,201,202,202,204,198,190,184,156,115,76,54,53,59,57,73,131,92,85,99,78,56,147,192,182,182,179,198,200,202,203,203,204,195,190,197,157,110,84,54,53,59,67,74,67,68,84,80,69,156,196,184,186,183,180,198,200,202,203,204,207,190,198,196,149,107,83,56,54,62,65,75,81,70,76,67,164,199,187,187,186,183,180,198,200,201,205,206,206,188,202,186,139,103,85,58,54,63,67,74,80,71,47,150,204,187,188,188,186,184,180,200,201,202,205,209,203,190,199,176,132,105,88,58,54,68,73,75,77,55,123,203,192,191,189,187,186,185,182,201,202,204,206,208,200,191,194,161,130,109,84,58,55,72,75,78,56,81,207,195,194,192,191,189,186,186,184,202,203,205,207,209,199,187,178,151,124,102,80,56,55,72,70,67,43,168,205,195,196,194,192,190,188,186,184,202,203,205,206,208,198,184,171,148,118,100,77,55,56,70,68,38,131,212,198,198,197,194,193,192,189,185,185,202,203,205,207,206,196,174,162,137,111,93,74,56,58,56,38,119,213,200,201,199,198,194,193,192,190,186,185,202,204,205,206,205,195,170,159,134,109,86,69,54,42,53,144,214,203,203,200,199,198,196,193,190,189,187,185,202,204,206,205,203,190,167,153,136,107,80,60,36,97,200,217,205,205,203,202,200,197,197,194,192,190,188,185,202,203,207,204,194,165,151,150,130,97,66,47,55,202,216,205,207,205,205,203,201,200,199,195,192,191,188,185
17,129,132,132,134,136,136,137,138,140,141,141,142,143,144,144,146,146,145,147,147,146,148,147,147,148,148,148,147,129,131,133,135,136,137,138,139,141,142,141,143,144,145,146,147,146,150,149,150,148,148,147,148,149,148,148,147,129,131,134,137,137,138,139,140,140,143,143,143,144,145,146,148,138,125,133,119,149,150,149,149,150,150,149,148,130,132,133,136,138,139,139,141,142,143,142,143,144,147,146,151,151,106,88,86,143,152,150,151,150,150,150,149,131,133,135,137,138,139,141,143,144,145,144,145,147,148,148,150,163,123,79,80,149,151,151,151,150,150,150,149,131,133,136,137,138,140,142,143,143,145,146,147,150,148,149,149,164,137,88,88,158,151,151,151,151,152,151,150,132,134,136,137,140,142,142,143,143,145,148,141,134,155,151,148,166,144,96,111,160,151,153,152,151,152,152,151,134,135,137,138,141,142,142,145,147,146,149,146,109,123,156,155,166,139,99,126,158,153,154,153,153,153,152,152,134,136,137,139,140,142,144,143,144,140,152,151,130,111,127,151,163,137,98,125,160,153,154,154,154,153,152,151,134,136,137,139,142,142,141,155,147,109,122,157,158,154,117,89,135,136,101,125,161,154,155,154,153,154,154,153,136,137,138,141,143,143,146,157,151,113,127,138,152,162,144,92,94,118,95,123,162,154,155,154,155,155,154,154,136,138,139,141,144,143,153,147,134,134,107,98,91,169,162,116,80,97,86,120,163,155,156,155,155,155,155,154,136,138,140,141,144,142,156,145,101,106,98,75,70,158,174,134,85,83,77,117,164,155,157,156,156,155,155,155,136,138,140,142,144,144,159,144,121,120,105,100,100,143,182,143,98,79,79,111,163,156,157,157,156,156,156,156,136,139,141,142,144,146,164,144,128,121,108,120,125,148,174,145,111,80,76,109,163,156,158,158,157,157,156,156,137,139,141,145,143,153,159,127,118,116,118,125,156,178,151,142,115,78,70,108,165,156,158,158,158,158,156,154,137,139,142,146,141,159,159,131,121,116,123,138,182,175,147,129,109,77,64,110,165,157,159,158,158,158,157,155,137,140,141,144,142,166,161,138,124,116,124,164,179,164,144,124,102,77,65,127,166,157,159,158,158,158,158,157,137,140,142,144,142,169,161,143,133,117,139,179,172,161,137,114,98,75,75,151,161,158,159,159,158,157,158,157,137,140,144,145,144,175,161,148,145,125,147,177,163,158,140,108,93,68,101,166,156,159,160,160,159,158,157,157,138,141,144,147,144,177,166,153,152,136,145,172,158,151,135,105,86,69,139,164,158,159,160,161,159,158,158,159,139,142,144,146,142,172,173,157,150,143,141,162,155,152,131,101,78,84,161,159,158,159,159,160,159,159,159,159,139,142,144,147,144,165,174,155,145,141,144,152,146,156,137,98,75,98,166,159,160,160,161,160,160,160,159,158,140,143,144,147,144,163,168,153,145,137,143,150,144,156,131,99,75,121,168,159,161,161,161,161,160,160,160,159,139,141,144,147,145,167,171,159,146,143,146,152,142,152,120,93,81,152,163,160,161,160,161,161,161,161,160,159,138,141,144,148,146,172,178,158,144,150,152,146,133,142,109,79,109,167,159,161,161,161,161,161,161,161,160,159,140,142,145,147,147,178,172,146,146,152,153,136,123,129,97,77,148,164,160,161,162,162,161,161,162,161,161,160,140,142,145,146,149,179,167,142,147,152,149,130,121,117,85,94,165,159,161,162,162,162,162,161,162,161,160,160
18,152,154,158,160,163,165,167,169,171,173,175,175,175,175,176,178,179,179,180,180,179,180,181,180,180,180,180,179,154,156,159,162,164,167,170,172,173,174,177,177,177,178,178,180,181,181,182,182,181,181,182,182,182,182,181,180,156,158,161,164,166,169,172,174,176,177,179,179,180,181,181,182,183,182,183,183,182,183,184,184,185,185,185,184,158,160,163,165,168,171,175,177,178,180,181,182,183,183,184,185,185,185,185,185,186,187,187,187,187,187,187,186,159,162,165,168,171,174,177,179,180,182,184,184,185,187,187,187,187,183,173,180,189,190,189,189,189,188,188,188,161,164,167,171,173,175,178,180,182,184,185,186,187,188,185,183,197,173,137,131,177,175,173,189,192,190,190,190,163,165,169,172,173,176,180,181,184,187,187,188,190,189,163,143,175,151,107,100,109,142,132,148,193,192,193,193,165,168,171,173,176,179,181,184,186,188,188,183,182,204,159,132,154,145,111,101,89,135,137,104,168,197,195,194,166,170,173,176,179,181,183,186,187,189,195,170,137,165,175,152,156,165,150,145,130,121,122,97,138,200,196,195,167,171,175,179,180,182,185,187,189,192,206,185,151,124,164,162,137,167,178,177,171,138,94,82,133,202,199,199,169,171,176,180,181,184,187,189,191,196,193,199,175,132,122,154,123,134,174,177,177,144,95,71,142,203,201,201,171,173,177,180,182,185,188,190,191,197,166,175,170,142,97,122,127,111,143,148,168,150,105,72,152,204,201,201,172,175,179,182,185,187,189,191,193,198,152,134,152,120,80,94,113,89,100,131,175,166,120,78,166,203,201,202,173,176,179,183,186,188,191,193,196,203,177,145,139,98,68,83,97,73,75,100,185,178,134,88,169,206,202,202,175,178,181,184,186,189,192,195,198,203,176,138,127,94,65,77,94,62,69,126,192,191,149,96,120,204,204,204,176,179,181,184,186,190,192,195,198,204,187,152,123,95,66,77,94,71,133,193,198,187,148,107,90,191,208,207,177,180,182,185,187,191,194,196,198,208,198,166,130,103,87,78,86,136,203,211,202,174,134,105,96,193,209,208,179,181,184,187,189,193,195,197,198,209,201,172,140,119,106,103,131,194,216,206,188,161,117,94,107,204,209,208,181,182,184,188,191,194,197,199,200,207,203,180,156,139,123,117,156,207,217,197,165,140,107,84,129,210,209,209,180,183,185,188,191,194,198,200,200,205,203,185,162,142,130,121,158,207,214,187,155,127,99,83,153,212,210,210,181,184,186,189,192,195,198,201,201,201,200,186,164,145,148,127,148,204,207,174,141,114,93,86,177,213,211,212,181,184,186,191,193,196,199,200,202,199,197,191,172,159,159,132,133,200,192,159,125,103,88,97,197,214,213,213,182,184,188,191,194,197,199,199,201,200,194,189,177,161,160,138,126,190,176,142,114,94,84,116,211,214,214,214,182,185,187,190,193,195,197,199,202,202,197,191,180,161,153,136,120,177,161,125,105,92,82,143,216,214,214,214,181,183,186,189,193,194,196,199,201,202,201,198,179,156,141,119,108,158,139,108,98,90,90,177,215,214,215,214,180,183,187,189,194,195,197,200,201,196,204,197,169,145,122,103,112,144,121,109,99,89,127,206,212,213,214,214,181,184,188,191,194,196,199,201,201,196,212,195,170,151,126,119,120,140,113,110,96,95,178,213,213,214,214,214,182,184,188,191,195,197,199,201,200,200,213,201,180,162,133,123,130,131,114,105,86,135,208,213,214,214,215,216
14,154,158,162,165,166,169,171,172,174,176,175,177,177,176,176,176,176,175,175,174,174,173,172,170,169,168,167,166,156,160,164,167,169,171,172,174,175,177,178,179,179,178,178,177,177,178,178,176,174,175,174,172,171,171,169,169,158,162,166,169,171,173,174,176,178,180,180,180,180,180,180,177,161,163,174,175,177,176,174,173,173,171,171,171,159,164,168,170,172,174,177,179,180,180,181,181,181,181,180,169,159,147,148,142,161,178,175,174,174,172,173,173,160,165,170,171,174,177,179,180,182,182,183,183,183,194,192,181,174,155,129,110,108,134,169,177,175,174,174,174,162,166,171,174,176,178,180,182,183,184,185,184,193,207,182,156,182,162,132,92,73,77,97,151,178,175,175,174,163,167,172,175,177,180,181,183,185,186,186,193,205,199,155,90,124,120,148,111,62,74,58,70,147,179,176,176,164,169,173,176,179,182,183,185,186,188,191,204,188,149,111,71,62,79,151,136,81,76,74,59,78,169,179,178,166,170,174,178,180,182,184,186,188,194,204,212,169,109,72,52,48,54,117,144,106,83,93,78,68,129,181,179,166,170,176,178,182,184,186,189,189,203,216,212,174,127,87,66,57,50,68,115,122,90,90,79,82,87,165,181,168,171,176,179,182,185,187,189,193,211,220,200,154,115,85,65,61,62,116,165,182,160,117,87,82,73,126,182,169,173,177,180,183,186,188,189,200,219,214,171,117,80,67,56,56,100,186,192,190,192,183,124,90,90,117,182,171,175,179,182,186,187,190,188,208,219,205,178,132,82,58,46,74,170,196,193,192,193,183,121,118,91,118,186,172,177,180,184,187,189,190,194,219,214,194,180,136,94,61,38,47,93,159,194,193,194,157,118,122,85,95,183,173,178,181,185,188,192,188,210,222,206,192,180,132,98,55,42,48,54,78,162,193,164,107,111,115,83,68,158,175,179,183,186,189,191,196,222,214,196,196,177,135,100,54,47,59,66,70,87,114,96,101,115,104,79,66,148,175,179,185,188,191,190,211,224,212,198,195,171,136,96,56,61,79,82,82,79,73,85,102,113,98,74,118,183,176,180,185,189,191,195,224,224,212,196,184,167,131,86,61,76,92,95,93,90,83,85,102,96,84,128,186,192,178,182,186,189,191,206,228,220,204,187,174,160,119,86,70,88,98,100,97,91,88,83,85,86,143,191,194,193,179,183,187,190,192,219,227,213,196,181,164,147,112,89,80,91,102,99,95,85,85,73,80,155,197,196,195,194,180,184,188,191,196,227,223,206,190,171,154,139,111,93,82,91,103,95,88,78,77,107,166,199,199,197,196,195,181,186,190,192,204,232,219,198,182,165,146,130,114,91,82,86,94,89,80,78,145,194,202,201,200,199,197,195,182,186,191,194,219,229,212,185,162,153,141,126,99,83,82,80,85,77,82,150,203,204,202,201,200,199,199,197,183,187,190,204,229,221,201,173,166,153,125,101,80,82,83,74,86,116,172,205,205,204,203,202,201,200,200,199,184,189,186,207,223,213,197,176,163,134,116,96,82,78,77,124,181,204,209,207,207,206,203,202,201,201,200,199,170,169,170,208,219,211,192,173,147,116,106,90,79,68,126,207,213,211,210,208,207,206,205,204,203,202,201,200,72,45,109,212,215,204,186,163,131,104,97,84,71,85,184,212,211,212,210,208,208,207,207,205,204,203,202,200,57,35,89,190,211,197,180,153,116,95,88,76,62,136,209,212,211,211,210,209,209,208,208,206,204,203,202,201
15,118,125,134,142,146,148,152,159,165,169,173,176,180,182,185,187,190,193,195,196,198,200,200,201,201,202,203,203,118,127,135,143,147,149,153,160,166,170,174,177,181,184,187,189,192,194,196,198,200,201,202,202,203,204,205,204,120,129,137,144,148,150,155,162,166,171,175,179,182,186,188,191,194,196,198,199,201,202,203,204,205,206,207,207,122,130,138,145,150,152,157,164,168,173,177,180,183,187,190,192,195,197,200,201,202,204,205,207,207,207,208,209,122,131,140,147,150,153,159,165,171,175,178,182,186,189,192,194,196,198,201,202,204,206,208,209,209,209,210,210,123,132,142,148,152,154,160,166,173,177,181,185,188,190,194,197,198,200,202,204,206,207,209,210,211,211,211,212,125,134,142,169,179,166,165,168,174,178,183,186,190,192,195,199,200,202,204,207,208,209,210,211,212,212,213,214,126,135,143,208,206,183,178,173,179,183,184,183,186,192,197,200,201,204,206,208,209,212,212,213,214,214,215,215,127,136,145,183,193,179,176,169,184,187,185,180,171,175,186,192,197,204,207,209,211,213,215,215,216,217,217,217,128,137,147,156,164,160,156,155,172,177,178,178,172,180,178,180,185,194,200,193,197,206,215,215,217,218,219,219,131,138,149,156,159,159,163,165,171,171,166,165,171,180,177,171,169,181,196,191,181,172,186,216,220,218,220,221,131,140,151,157,159,162,170,176,181,183,180,175,175,173,167,159,158,178,191,199,183,166,158,175,215,221,220,222,132,142,152,158,161,164,171,178,182,187,191,193,196,194,186,176,181,192,189,192,187,174,174,163,167,211,224,224,133,143,153,160,163,165,173,178,183,188,192,195,199,201,205,224,219,199,165,170,200,175,185,181,157,158,213,226,134,144,154,161,164,167,174,180,185,189,193,203,202,180,183,210,215,185,140,145,202,173,188,188,176,145,155,215,135,145,155,162,165,168,175,181,186,191,194,217,198,167,171,215,224,187,152,154,183,181,191,184,172,152,131,146,137,147,156,163,165,168,176,181,187,192,196,209,183,164,175,221,225,183,156,159,160,168,179,168,155,152,139,128,139,149,157,164,165,169,176,183,188,194,198,201,198,173,180,212,205,172,160,167,167,167,174,159,139,145,144,140,138,149,158,165,166,170,177,184,189,194,199,201,239,229,169,145,143,141,158,173,176,179,180,164,146,146,145,141,139,149,159,166,168,171,178,185,190,195,200,201,235,245,187,113,74,61,74,105,156,176,176,163,157,151,137,128,140,150,160,167,169,173,179,185,191,196,201,202,230,243,187,119,90,73,52,44,94,154,157,147,134,117,100,87,142,151,161,166,169,174,180,186,191,196,201,204,225,244,174,125,132,124,98,72,63,100,108,96,80,71,65,57,142,152,161,166,168,174,180,186,192,197,202,206,219,246,182,145,167,155,146,133,93,77,73,71,66,64,62,57,141,152,160,165,167,173,178,185,191,196,201,205,213,247,200,144,183,167,154,121,86,75,73,71,68,65,63,61,141,151,160,165,167,173,179,187,192,197,201,204,208,239,213,139,209,212,165,104,76,71,72,72,69,66,64,62,141,152,161,165,168,174,181,188,193,199,202,207,208,233,199,137,215,227,175,96,73,71,72,72,69,67,68,68,141,152,162,166,169,175,182,189,195,200,203,208,211,218,171,182,223,229,189,100,81,77,73,70,68,68,69,67,141,153,163,168,171,175,182,188,195,200,203,208,212,214,208,219,224,227,220,128,91,82,76,70,69,69,68,65
12,169,169,171,173,174,174,177,177,178,178,178,177,177,177,176,176,175,174,174,174,173,172,172,171,170,168,168,168,170,171,173,174,175,177,178,178,179,179,180,179,179,178,178,179,177,175,175,174,174,174,173,172,171,171,170,169,171,172,174,176,177,179,179,180,180,181,181,181,181,181,181,181,179,177,177,177,176,176,175,174,174,173,171,171,173,174,175,178,179,179,181,182,182,182,182,183,182,182,181,180,180,180,180,179,178,178,177,176,175,174,173,172,174,176,178,180,180,181,183,184,184,184,185,185,185,185,184,182,182,182,182,180,180,179,179,178,177,175,175,173,175,178,179,181,182,184,185,186,186,187,187,185,182,175,178,185,175,153,150,181,183,181,181,180,179,178,176,175,178,179,181,182,184,186,187,187,188,188,188,193,180,144,126,174,166,126,84,146,166,163,179,182,179,179,178,177,180,181,183,185,187,187,189,189,189,190,190,198,179,135,87,136,160,124,88,97,134,101,117,176,181,180,180,179,181,183,186,187,188,188,190,190,192,187,169,188,169,124,78,123,185,142,106,92,123,94,72,134,186,181,181,181,182,183,187,188,189,190,191,193,205,188,143,159,175,132,71,133,217,155,118,114,131,97,68,116,187,184,182,182,184,185,187,189,190,191,191,207,220,191,148,124,202,160,78,120,199,138,101,154,145,105,63,125,189,185,184,184,186,186,188,190,192,194,193,214,215,194,146,102,179,148,92,102,135,114,116,179,133,81,57,139,190,187,186,185,187,188,189,192,193,194,198,223,198,169,123,85,87,99,87,95,139,170,165,140,95,58,67,167,190,188,187,187,187,189,192,194,194,195,217,218,186,132,102,77,47,65,140,172,176,176,160,130,116,73,109,191,190,189,188,188,189,190,193,194,195,199,230,210,169,130,119,69,56,145,204,203,182,165,142,121,116,82,127,196,192,191,190,189,190,191,194,196,196,202,232,210,153,146,141,91,133,210,215,205,181,158,140,116,100,71,137,198,194,193,192,190,191,193,195,197,196,209,235,214,181,163,142,158,202,217,213,198,178,151,132,109,84,61,152,198,195,194,193,192,192,194,196,198,198,215,235,221,200,184,151,180,209,215,204,191,170,139,121,99,75,53,145,200,195,195,194,193,193,194,197,199,199,214,232,224,208,189,160,190,204,206,192,179,156,129,111,89,68,50,145,201,197,197,195,194,195,196,198,201,201,211,228,223,213,187,160,180,195,190,181,170,141,115,97,77,58,63,176,200,198,198,196,195,195,196,198,201,201,208,226,222,210,174,152,170,180,183,171,156,126,104,86,68,57,136,200,201,201,199,198,197,196,196,199,201,204,208,217,213,188,156,151,169,178,183,169,144,124,101,78,69,139,198,201,202,202,200,199,198,195,196,200,194,152,188,214,202,186,177,170,169,183,184,161,130,118,90,66,139,204,204,202,202,202,201,200,198,196,197,202,164,77,109,199,208,198,183,165,152,172,169,138,111,99,70,111,199,206,204,204,202,202,202,201,200,197,199,195,116,85,73,109,159,159,148,138,131,151,140,113,96,76,91,190,208,206,206,205,203,203,203,202,201,196,202,166,88,85,79,36,65,69,67,62,64,83,88,84,72,65,167,210,207,207,207,206,205,204,204,203,202,195,193,122,83,83,84,27,34,51,49,39,34,32,34,38,30,54,178,210,208,207,207,207,206,204,203,203,201,198,167,91,82,81,82,22,19,41,44,36,32,30,27,23,14,14,124,211,207,207,206,206,205,203,203,202,200
3,121,131,138,139,144,150,152,155,158,161,163,165,166,168,169,168,171,163,170,170,170,171,171,170,170,170,171,171,122,133,139,140,146,152,153,156,159,162,165,168,168,169,170,169,193,140,150,176,170,171,171,170,170,169,171,171,124,134,139,141,148,154,157,160,162,164,167,170,171,172,174,171,204,147,121,179,175,174,174,171,172,171,171,170,127,135,140,143,149,156,159,163,165,168,170,174,176,176,177,172,209,157,107,183,169,174,176,175,174,173,173,172,129,138,142,146,152,159,162,165,168,172,176,176,178,181,181,186,190,143,105,202,149,154,184,177,177,176,176,176,132,141,145,147,155,161,164,168,171,177,175,180,187,167,195,225,193,182,144,188,167,120,189,180,180,179,180,179,135,143,147,152,159,164,168,170,170,168,194,220,215,168,129,154,195,207,175,127,168,116,150,193,183,183,183,182,138,146,150,156,162,167,168,196,194,168,198,178,191,200,175,82,119,161,115,100,147,147,115,161,193,186,187,186,142,149,152,158,166,167,192,196,175,181,156,112,107,184,195,114,120,125,97,152,158,157,124,127,198,189,190,189,144,152,155,161,169,174,206,151,104,152,105,98,76,92,124,95,106,88,82,178,188,187,136,129,201,192,194,193,146,153,157,163,171,179,210,165,113,160,137,130,103,112,100,83,88,90,88,181,213,201,143,131,204,195,196,196,149,155,159,166,175,178,214,181,139,170,186,166,142,129,117,113,105,100,91,165,215,201,143,136,207,197,199,199,152,158,161,169,179,180,212,200,176,161,160,131,133,140,139,147,123,135,127,159,213,195,133,134,209,200,202,201,154,160,163,171,181,184,216,202,164,147,144,133,139,147,162,158,168,185,205,203,191,170,124,131,212,203,205,204,156,163,166,174,183,186,219,202,160,138,135,141,146,159,175,183,204,209,215,204,168,135,121,128,213,205,206,206,158,165,169,177,185,187,218,213,178,148,135,152,152,165,194,200,209,215,213,189,151,123,108,142,219,208,210,210,161,166,171,179,187,188,214,226,193,165,140,139,152,179,202,206,217,222,209,177,139,116,97,194,217,212,212,211,163,168,172,181,190,191,208,230,207,184,157,139,152,176,201,213,226,221,196,162,136,97,138,225,213,215,214,213,164,169,174,184,191,194,204,232,220,196,172,155,155,167,195,218,224,214,184,148,123,94,192,221,214,216,215,214,168,170,177,186,192,198,202,228,227,209,181,173,168,165,190,216,217,201,169,137,104,118,224,216,216,216,219,223,169,173,179,187,195,200,201,215,224,220,198,185,177,163,198,205,210,182,150,125,90,168,227,217,224,229,214,183,171,176,181,189,197,202,205,204,218,222,207,194,182,161,191,199,189,162,132,105,102,221,230,222,196,148,98,72,173,177,184,192,198,204,208,202,209,215,209,199,182,161,160,188,169,143,121,88,170,228,164,114,80,65,65,63,176,178,186,193,200,205,208,209,203,215,210,199,183,163,148,169,164,135,109,116,195,113,69,62,66,63,64,58,178,180,188,195,201,207,209,212,203,218,207,191,179,156,145,155,151,129,102,117,104,71,78,57,55,71,59,53,179,182,188,196,202,208,210,212,207,217,191,175,173,155,149,145,137,128,104,71,59,70,86,59,41,64,69,48,177,181,188,197,203,206,210,213,202,219,203,185,187,171,153,145,131,128,94,73,61,48,79,72,38,49,72,61,178,182,190,198,204,208,210,217,196,216,218,201,204,175,157,145,128,126,88,69,70,42,56,79,49,38,59,70
1,142,143,145,146,147,147,146,146,146,144,143,143,144,142,142,145,142,138,135,136,134,132,128,127,125,124,121,120,143,144,146,147,147,147,147,146,146,145,143,144,143,145,144,114,127,140,135,135,133,132,129,128,126,125,122,120,143,144,145,147,148,148,149,148,147,147,145,147,142,106,125,90,79,149,139,135,134,132,130,130,127,125,124,122,144,146,147,148,148,149,149,149,149,148,147,148,147,80,82,105,52,80,102,142,134,133,132,130,128,126,125,124,147,149,149,150,151,151,151,152,151,149,149,149,143,73,84,104,33,61,59,136,139,134,133,132,128,127,126,124,149,151,150,152,152,153,153,153,153,151,149,154,136,60,94,92,30,83,53,122,142,134,134,133,132,129,128,127,151,151,152,155,156,156,155,155,155,155,113,123,132,58,109,94,37,90,46,113,146,137,137,135,133,132,129,127,152,154,156,156,156,157,157,157,155,159,99,85,135,63,109,88,38,97,54,110,149,139,140,138,135,133,131,128,155,157,157,157,158,158,158,158,158,156,82,90,114,55,110,69,48,110,57,104,151,140,141,139,136,135,134,133,156,157,159,159,161,160,160,159,162,150,66,101,96,56,114,66,70,113,45,105,154,143,142,141,138,135,134,133,157,157,159,161,161,162,162,161,163,152,68,102,111,62,117,81,67,109,47,112,155,145,144,143,140,138,135,133,158,159,160,161,162,163,164,162,167,142,54,102,122,60,110,80,58,113,62,109,157,146,145,144,142,139,137,135,158,160,162,163,164,164,165,163,170,143,60,98,111,42,89,53,56,118,55,107,161,146,148,145,143,140,139,136,159,162,164,164,165,166,167,164,171,151,64,78,109,67,88,98,96,80,56,88,151,150,148,146,145,141,140,138,161,163,165,166,167,167,167,165,172,139,83,100,97,101,96,102,103,65,66,48,86,159,147,146,145,142,141,140,163,164,165,167,168,170,170,170,172,148,125,95,70,79,82,91,89,77,58,62,61,146,150,147,145,142,142,140,163,164,166,167,169,170,171,171,177,152,109,71,63,66,87,99,78,69,90,107,60,115,159,147,147,142,141,139,164,165,166,169,170,170,171,173,178,148,103,65,66,72,97,105,109,117,103,117,84,82,159,148,149,144,142,140,166,166,168,170,171,171,172,173,174,151,109,67,67,79,102,115,125,144,110,104,100,58,148,153,148,147,143,141,166,167,170,171,171,172,173,174,169,152,119,78,57,83,104,120,124,126,123,94,72,36,140,154,148,147,145,142,167,168,169,171,172,172,173,174,168,156,130,92,63,68,106,133,135,128,107,82,55,43,154,152,148,146,145,143,166,167,169,172,173,173,174,175,167,150,127,96,72,67,112,144,135,122,100,77,37,86,166,151,150,148,147,143,166,169,170,172,173,174,175,176,166,146,128,103,78,81,122,141,128,113,90,69,31,134,162,153,151,149,147,143,167,170,172,173,174,174,176,177,172,149,131,114,94,91,130,136,127,106,81,46,56,166,155,155,152,150,148,146,168,170,171,174,175,175,177,178,177,154,133,121,104,90,119,123,111,91,68,20,119,168,156,156,153,151,149,147,169,170,172,174,176,177,178,178,178,165,141,126,109,88,103,107,88,71,27,65,169,161,158,157,154,152,150,148,169,171,172,173,173,175,178,180,177,169,145,117,106,98,96,92,69,31,59,166,165,161,158,157,154,151,150,147,168,172,172,173,173,177,180,181,171,166,147,121,123,102,88,77,43,29,153,172,162,163,159,157,154,151,150,147
10,24,26,27,31,36,40,46,59,69,77,82,86,89,93,97,100,104,107,108,110,113,113,114,116,116,115,117,118,24,26,29,31,36,40,48,61,71,78,85,88,90,95,98,101,104,106,107,113,113,114,114,117,118,116,117,118,24,27,30,33,38,41,49,63,73,81,87,89,91,96,99,103,103,115,115,91,116,115,116,118,119,118,119,118,23,27,30,35,39,42,52,66,75,83,89,90,94,98,102,107,100,141,128,45,105,122,119,120,121,121,120,120,24,28,31,35,40,43,54,68,77,85,90,92,97,100,104,108,105,129,137,62,72,129,120,123,124,124,123,124,25,30,33,35,40,45,55,69,78,87,92,95,100,103,107,111,111,122,145,79,45,120,127,127,127,127,127,127,26,31,34,37,41,45,57,71,81,89,95,96,101,106,109,112,118,117,144,105,50,99,134,127,129,129,129,129,27,31,34,38,42,45,59,73,82,90,96,97,102,108,112,116,119,118,142,126,62,74,139,130,132,133,132,132,27,32,35,40,42,47,62,75,84,93,98,98,104,108,114,115,137,124,65,104,78,52,134,136,136,135,135,136,29,32,36,39,42,49,64,77,86,94,98,101,107,112,116,117,151,94,36,72,133,52,119,143,138,139,139,138,30,33,36,40,44,50,65,78,88,96,99,102,109,113,120,120,146,85,51,40,151,62,98,148,140,142,142,140,30,34,36,41,44,51,67,79,89,98,100,106,109,121,112,132,168,108,96,47,92,80,74,151,142,145,144,144,31,34,37,42,45,53,69,81,92,100,102,100,126,172,128,151,136,130,122,68,39,76,58,147,145,146,146,147,33,34,38,42,46,54,70,82,93,100,107,115,129,199,160,162,97,85,127,92,41,47,43,130,151,147,148,147,34,35,39,42,45,54,71,83,97,93,159,183,115,125,167,171,117,36,108,125,71,36,23,108,157,147,149,149,34,35,38,42,46,56,72,86,98,96,168,201,136,49,109,175,109,39,51,127,94,53,18,88,159,149,152,153,33,36,39,43,47,57,74,87,99,106,134,110,146,125,64,106,57,15,18,98,105,71,30,72,160,151,153,153,34,36,39,43,48,59,75,87,100,106,146,92,115,143,48,65,79,6,58,107,105,92,48,58,158,153,154,154,34,36,39,44,48,60,76,90,103,102,160,143,84,65,49,85,89,80,149,135,109,100,62,53,151,157,155,155,35,38,40,44,48,61,78,92,104,105,160,139,109,91,77,88,99,169,170,126,113,94,64,59,150,158,156,156,34,38,41,44,48,63,78,93,107,104,182,175,140,100,96,110,193,200,149,109,93,82,65,69,156,158,158,158,35,37,42,44,48,64,79,93,107,104,183,189,145,112,125,147,218,179,140,111,80,69,60,85,164,158,160,160,36,37,41,45,48,64,81,94,109,103,190,196,142,142,134,158,211,167,129,105,79,63,54,107,167,158,160,161,36,38,41,44,49,65,82,96,109,105,181,184,151,159,140,185,192,150,114,91,74,64,54,121,168,160,161,162,36,39,42,44,50,66,82,97,110,105,163,182,175,167,163,195,170,127,100,78,67,64,59,144,166,161,162,162,36,38,43,44,50,67,82,96,111,106,141,198,191,166,147,163,148,111,86,72,67,54,78,164,163,164,164,165,36,39,43,43,51,69,85,98,110,113,120,185,176,153,131,134,131,115,92,78,68,45,104,170,164,165,165,168,36,38,43,45,53,71,85,100,109,115,113,155,154,137,128,131,127,131,106,76,63,40,123,171,163,166,167,169
5,179,179,179,180,181,182,183,183,184,183,184,184,183,184,187,184,184,184,183,183,182,181,179,179,179,177,176,175,181,181,182,183,185,185,186,185,186,187,187,187,188,186,173,186,186,186,186,186,185,183,182,181,181,180,180,178,185,185,186,186,188,188,189,188,190,191,191,193,190,198,141,172,193,189,189,188,187,186,186,185,184,183,182,180,187,188,189,190,190,191,191,192,194,194,192,169,183,210,145,154,201,191,192,191,190,190,189,188,187,186,185,183,190,192,193,193,194,195,194,196,196,194,202,156,154,217,145,140,206,194,195,194,193,192,191,191,190,189,187,186,193,194,196,195,197,199,199,198,199,196,211,169,142,216,141,139,208,196,197,197,195,194,194,193,193,192,190,188,196,195,197,199,199,200,196,200,202,199,215,174,133,214,151,145,210,199,200,201,198,197,196,196,196,194,192,191,198,199,200,202,201,205,174,172,209,200,216,180,133,211,146,151,213,201,203,203,207,201,199,199,198,196,195,194,201,202,203,204,203,211,181,143,210,201,218,183,127,205,136,156,214,204,205,197,176,199,202,200,199,199,198,197,203,204,205,205,204,214,197,127,208,206,216,180,115,207,153,157,215,203,209,201,156,165,213,203,202,202,201,200,204,205,206,206,208,212,197,126,205,209,211,192,119,190,165,158,216,200,193,183,200,168,187,206,205,204,203,201,206,207,208,209,211,211,215,135,190,214,207,203,120,160,170,165,212,206,172,112,185,181,150,207,207,205,204,203,208,209,210,211,211,213,219,163,163,217,208,206,122,150,170,165,206,205,165,158,201,155,171,215,208,207,206,204,210,211,211,211,213,212,208,212,177,186,203,192,148,162,159,148,184,185,159,208,196,137,206,211,209,208,207,206,210,213,213,213,214,216,202,217,204,173,175,173,155,157,152,149,186,179,169,215,172,132,218,210,212,210,209,209,212,215,215,215,215,218,212,214,224,191,168,166,145,149,150,151,183,177,184,222,146,136,224,212,213,212,212,211,214,215,216,217,217,217,218,216,237,209,157,153,138,136,146,155,180,171,186,226,143,156,227,213,214,214,212,211,214,215,217,217,217,218,218,219,238,215,160,132,134,132,143,169,185,162,180,224,150,167,227,214,215,216,214,212,216,216,217,218,219,219,218,219,236,213,167,132,133,132,161,177,196,198,175,213,153,171,227,215,217,217,215,213,217,217,218,219,221,221,221,217,233,209,170,135,127,143,172,188,209,212,182,182,134,168,229,217,217,217,215,215,217,217,219,221,221,222,223,216,232,212,176,136,128,151,186,204,206,206,185,145,107,159,231,218,219,218,216,216,218,220,221,222,222,223,224,217,228,213,177,139,130,150,196,215,212,195,163,122,96,189,228,219,221,220,217,217,219,221,221,222,223,224,225,218,219,212,175,142,136,147,206,218,201,178,148,101,149,231,221,223,222,221,218,217,220,222,222,222,223,224,226,215,208,210,174,151,143,147,202,203,186,165,127,113,220,228,222,223,223,222,219,218,219,221,222,223,223,224,228,216,204,203,168,162,142,147,189,192,179,150,98,174,236,224,225,224,223,222,221,218,219,220,221,222,223,223,225,219,201,195,170,163,137,145,179,181,161,109,127,230,226,226,224,224,223,222,221,220,218,220,222,223,222,223,227,217,206,198,171,161,142,132,163,151,120,109,212,229,225,226,224,224,223,222,221,220,219,221,222,223,223,224,228,213,209,191,156,153,142,126,145,122,99,187,236,225,227,225,225,225,223,222,221,219
1,168,168,169,169,170,170,171,170,171,171,170,170,170,169,168,167,166,165,164,163,161,160,159,158,157,155,153,151,172,172,172,172,173,173,173,173,174,174,173,173,172,172,171,170,167,156,161,166,165,164,163,161,159,157,155,154,176,176,176,176,176,177,177,177,177,177,176,176,176,175,171,164,164,137,145,167,168,167,166,164,162,160,158,157,180,180,179,179,180,180,180,180,180,180,180,180,179,179,173,144,150,127,116,144,165,170,168,166,165,163,161,160,183,182,182,182,183,184,184,184,184,184,184,184,183,183,172,131,143,117,89,109,147,172,171,170,168,166,164,163,186,186,186,186,186,186,187,187,186,186,187,186,183,185,165,126,146,112,97,113,132,172,174,172,171,169,167,165,188,189,189,189,189,189,190,190,189,188,188,181,165,177,158,128,153,114,112,122,125,172,176,175,174,172,170,168,192,192,192,192,193,193,193,193,192,192,190,175,140,161,153,136,152,111,123,130,126,173,179,178,176,175,173,171,195,195,194,195,196,195,194,194,195,194,192,170,130,155,142,143,148,112,139,137,128,175,182,181,179,177,176,174,197,197,197,197,197,197,197,196,197,197,194,163,128,156,136,150,150,120,152,136,127,177,184,183,181,180,178,176,199,199,200,200,200,200,200,200,200,199,194,155,126,161,136,151,151,120,152,135,131,180,186,185,184,182,181,179,201,201,201,202,202,202,202,202,201,201,193,145,124,161,127,141,140,112,153,140,137,184,189,187,186,185,183,181,203,203,203,203,203,203,204,204,204,203,192,141,124,153,118,137,134,112,151,135,137,186,192,189,188,186,185,183,205,205,205,205,205,206,206,206,205,204,187,139,128,147,134,148,146,124,131,121,134,187,194,192,190,188,186,185,207,207,207,207,207,207,207,207,207,203,184,153,142,134,136,144,146,135,122,112,121,179,195,194,193,191,188,187,208,208,209,209,208,208,209,209,208,203,186,157,130,118,124,140,147,135,131,129,116,165,196,196,195,192,190,188,209,209,210,210,210,209,210,210,209,204,183,143,114,113,124,147,154,147,157,155,124,149,195,197,196,193,191,190,210,210,211,211,211,211,212,212,209,201,180,139,110,117,133,156,168,170,158,160,138,135,190,199,198,196,194,192,211,211,212,213,213,213,213,213,209,198,184,147,110,114,141,164,176,180,162,152,131,117,181,200,199,197,196,194,213,213,214,214,214,214,214,214,208,196,188,157,118,111,142,170,180,178,160,138,107,105,181,202,201,199,197,195,215,215,215,215,215,215,216,216,209,193,186,161,127,112,142,180,189,181,154,123,94,123,193,203,202,201,199,197,215,215,216,216,216,216,217,217,211,191,180,161,135,122,151,188,189,173,141,108,93,157,203,204,202,201,200,198,214,215,216,216,216,216,217,217,213,194,179,164,143,132,159,186,180,157,124,94,110,187,207,205,203,202,201,199,213,214,215,215,216,216,217,217,215,199,180,170,153,138,158,176,164,137,104,86,142,202,207,205,203,202,201,199,214,214,215,216,216,216,217,217,216,203,183,173,157,140,149,156,139,111,84,102,179,207,207,205,203,201,200,198,214,215,216,216,216,217,217,217,216,203,186,175,159,143,140,137,114,88,91,156,203,209,208,206,203,202,200,197,214,215,216,216,216,216,217,218,214,197,188,178,167,150,134,120,92,84,147,202,210,209,208,207,205,201,196,185,214,215,216,217,216,217,218,218,210,190,190,183,173,151,127,103,77,105,189,212,212,210,208,207,204,190,165,133
1,118,122,124,126,131,136,138,138,140,141,143,144,146,147,148,149,149,149,153,151,152,152,152,151,150,150,151,152,122,125,128,131,134,138,141,143,144,145,147,147,149,148,151,152,159,155,130,155,156,154,153,152,151,151,153,153,126,130,132,134,138,141,145,147,149,150,151,152,152,164,134,144,175,159,92,154,159,158,156,156,155,155,154,155,130,134,136,139,143,146,148,152,153,154,156,155,161,183,112,130,178,144,92,155,142,149,161,160,160,159,158,159,134,137,140,144,148,150,153,156,157,158,159,159,170,179,103,138,180,132,98,164,136,110,166,164,163,162,161,160,137,141,145,148,152,154,158,160,161,162,168,150,158,172,104,144,181,124,107,177,136,98,168,166,166,165,165,163,141,146,148,152,156,159,163,166,167,167,186,136,127,154,110,151,186,131,120,182,130,97,171,171,169,169,168,167,146,150,152,156,161,164,168,170,172,174,193,120,125,141,117,150,177,127,124,187,131,99,175,175,173,172,172,170,149,153,156,160,165,167,171,174,176,179,183,109,129,127,109,130,171,119,134,191,136,105,180,179,177,176,175,173,152,156,160,163,168,171,173,178,179,183,189,118,131,132,111,132,183,125,150,186,134,111,186,184,182,179,179,178,155,159,163,166,172,174,177,182,182,187,188,118,122,147,120,132,184,123,161,190,134,117,189,186,185,184,183,182,158,162,166,170,175,177,181,184,184,193,197,132,113,138,107,124,162,109,174,192,137,129,193,188,188,188,187,186,161,165,168,173,178,181,183,187,187,195,205,138,103,124,107,129,146,127,180,178,128,140,196,191,192,191,189,188,164,168,171,175,181,184,186,190,190,197,203,144,131,163,154,166,169,157,146,164,121,150,199,194,195,194,192,191,166,170,174,178,182,185,189,193,192,204,213,170,140,139,178,194,202,168,111,132,106,159,201,198,197,197,195,194,168,171,176,180,184,187,191,195,194,213,202,156,126,96,121,150,170,188,146,87,83,174,204,200,199,199,197,195,170,174,178,183,187,189,193,198,196,218,197,151,114,102,107,124,168,211,186,112,77,190,205,203,201,200,200,199,172,176,181,185,188,192,195,199,199,222,203,150,121,122,128,162,185,207,208,146,88,189,209,205,204,202,202,203,174,178,182,186,190,194,198,200,202,223,199,149,120,131,138,196,209,193,189,149,94,169,212,207,206,205,204,204,177,181,184,189,193,196,199,201,205,222,199,156,129,143,156,219,217,188,154,122,86,169,214,209,208,207,206,205,178,182,186,191,195,198,200,203,205,219,201,160,142,138,172,226,213,173,139,101,82,186,214,210,210,209,208,207,179,184,188,191,197,199,202,205,206,214,198,161,149,136,172,222,197,159,126,91,109,213,213,213,212,210,210,211,181,185,189,193,196,199,204,208,208,210,197,169,161,142,162,210,181,145,110,82,152,221,214,213,214,212,212,212,183,186,191,194,198,201,204,207,208,207,194,173,167,146,159,201,169,134,99,84,190,219,215,215,215,215,213,214,184,187,192,195,199,202,206,208,210,211,200,176,166,138,152,187,155,123,90,103,216,218,217,217,217,217,216,216,183,187,193,197,200,202,206,209,209,213,205,178,160,125,142,159,130,111,83,146,225,220,219,218,217,217,217,216,182,187,191,196,200,202,204,209,203,217,208,194,159,129,144,144,122,99,99,203,221,220,220,218,219,219,217,216,183,187,191,195,200,205,206,206,203,217,209,197,167,139,145,134,114,85,160,223,220,220,220,218,219,218,217,217
21,165,168,170,171,171,172,173,173,173,173,173,168,168,172,170,169,166,165,165,164,162,159,157,157,156,154,153,151,166,169,171,173,173,174,174,175,175,175,177,151,125,169,172,171,169,168,167,167,165,163,160,158,157,156,155,153,167,170,173,174,175,176,177,177,177,177,176,155,117,138,174,173,172,171,169,169,167,165,160,146,157,158,156,155,168,171,173,175,177,178,179,180,179,179,178,166,131,100,171,175,174,173,171,171,169,167,154,108,133,160,159,157,170,173,175,177,178,179,180,181,181,181,181,175,142,92,153,177,175,175,174,173,170,168,144,97,128,162,160,159,172,175,177,178,179,180,181,182,182,183,184,180,160,114,124,179,178,178,176,175,172,168,135,90,142,163,162,161,173,176,179,180,181,181,183,183,183,185,186,184,173,128,102,177,179,179,177,176,174,163,122,88,158,165,163,161,175,178,180,181,183,184,185,185,185,186,187,186,183,134,93,164,180,179,178,178,174,156,117,103,166,166,165,163,177,180,181,182,183,186,187,187,187,188,188,187,185,150,104,144,182,181,180,178,168,140,99,127,169,168,167,165,178,181,183,184,184,185,186,187,187,189,190,188,182,167,125,122,183,182,181,179,158,125,82,154,170,169,167,165,178,180,183,185,185,186,187,188,188,190,191,190,186,180,148,113,169,184,182,179,156,116,95,170,172,171,169,166,179,181,183,186,187,188,189,189,190,191,192,191,189,184,171,139,124,159,170,163,139,99,132,174,173,172,170,168,180,182,184,187,188,189,190,192,192,193,193,192,186,143,139,146,118,117,116,122,98,82,161,176,174,173,171,170,181,183,185,188,189,190,191,193,194,194,194,193,181,131,100,130,124,121,126,124,82,94,177,177,175,174,173,171,181,184,186,188,189,191,193,194,194,194,194,193,164,146,113,109,124,111,115,113,83,98,179,179,176,175,174,172,182,185,187,189,190,193,194,195,195,195,193,173,131,146,118,90,108,75,103,127,97,77,172,178,177,176,175,173,183,186,188,191,192,194,195,196,196,196,192,168,126,126,114,73,83,66,93,134,110,75,132,179,178,177,176,173,184,187,189,192,193,195,195,196,197,197,192,171,129,105,99,59,81,85,141,149,133,87,85,178,178,177,176,174,184,188,191,193,194,195,197,197,199,198,188,159,128,97,89,58,92,126,165,154,127,84,80,178,179,178,176,175,185,188,191,193,195,196,197,198,199,198,187,171,147,109,79,69,112,166,162,139,112,73,93,181,180,179,177,175,186,188,191,193,195,196,197,198,198,198,187,175,156,120,98,96,158,175,151,124,106,68,118,182,181,180,178,175,187,189,192,193,196,197,198,199,199,199,185,172,157,127,101,102,164,167,149,124,101,67,140,183,181,179,178,176,186,189,192,194,195,197,198,200,200,200,184,163,150,126,103,102,157,161,140,117,91,63,159,184,182,180,178,177,186,189,193,195,196,198,198,200,200,200,187,161,154,133,113,103,149,152,131,104,77,68,177,184,183,181,179,177,187,189,192,195,196,198,199,200,201,201,197,170,156,138,116,95,131,131,110,87,60,98,184,184,183,181,179,178,186,187,190,193,194,196,197,199,199,199,198,180,165,142,114,97,110,114,97,75,51,143,184,183,181,179,178,176,185,188,190,193,195,197,197,198,199,199,198,185,167,143,118,105,103,108,102,70,74,178,184,182,180,179,178,176,186,188,191,194,195,197,198,198,199,199,197,186,170,147,133,124,112,111,96,62,127,185,184,182,180,179,177,175
19,170,171,173,175,177,178,179,181,181,181,181,182,182,182,181,181,181,181,180,179,178,179,178,176,175,175,174,172,171,173,174,176,179,180,180,182,183,184,184,183,185,184,184,182,182,182,181,181,180,180,180,179,177,178,176,176,173,175,177,179,181,181,184,185,186,186,185,185,185,186,186,185,185,183,184,184,182,181,181,181,179,179,176,177,174,176,178,180,182,183,185,185,187,187,187,187,187,187,187,186,187,185,185,185,183,183,182,182,181,181,179,178,175,178,179,181,182,185,186,187,188,189,189,189,189,189,189,187,188,187,187,186,185,185,184,184,182,181,180,179,177,179,181,183,183,186,188,189,190,191,192,192,192,191,189,189,190,189,188,187,187,186,186,185,184,183,182,181,179,181,184,185,186,187,189,191,192,192,192,193,193,191,192,187,190,190,189,189,188,187,187,186,186,185,184,183,180,181,185,186,187,189,191,192,194,194,194,193,193,192,203,173,144,189,191,190,191,190,189,188,187,185,185,185,181,183,185,188,189,192,193,194,194,196,193,172,157,178,203,184,109,158,190,192,191,191,190,189,188,188,186,185,182,184,187,189,192,193,194,194,195,193,182,154,119,117,130,138,123,115,136,147,169,176,181,182,185,180,177,184,183,186,188,191,193,193,195,196,193,184,182,184,170,125,83,102,120,116,119,104,114,128,136,125,142,132,136,173,185,187,189,192,193,194,193,190,176,181,191,192,162,106,74,69,88,99,105,95,102,117,124,121,123,129,124,160,186,187,191,193,194,193,190,183,178,180,184,185,165,122,75,64,65,68,76,76,81,88,97,97,97,102,106,122,186,187,191,193,193,191,190,187,183,176,184,190,186,149,90,64,65,58,80,115,135,138,137,137,146,150,160,176,187,189,192,194,193,191,190,189,187,184,189,193,187,156,94,65,63,63,131,197,199,197,195,196,196,195,194,194,188,190,190,194,192,193,191,192,192,188,187,187,179,160,108,65,62,66,77,187,201,200,198,197,198,197,195,196,187,190,198,197,196,194,194,195,194,187,183,190,187,171,122,70,61,65,61,128,203,201,199,200,199,197,197,196,190,211,212,202,196,196,196,194,188,185,189,193,188,158,115,77,60,68,61,105,204,202,201,201,200,199,198,197,211,217,208,198,193,193,190,187,184,182,177,176,165,137,109,85,68,66,62,157,204,203,202,201,202,200,199,198,217,214,201,194,191,189,186,184,178,175,167,162,154,137,109,89,79,67,57,165,205,205,203,202,201,201,200,199,215,210,200,189,183,183,180,181,178,172,164,156,149,151,112,88,83,73,68,190,207,206,205,204,202,201,201,200,212,208,196,183,172,172,171,171,175,166,156,139,133,145,98,80,87,76,94,208,206,205,205,204,203,202,202,201,207,201,186,170,159,155,157,157,162,150,132,113,108,100,64,77,90,77,137,207,207,206,205,205,204,204,202,201,197,188,169,155,144,129,133,137,141,123,103,97,90,66,74,88,91,145,202,209,207,206,207,206,205,205,203,202,193,168,162,151,127,110,99,108,110,98,92,87,74,71,85,115,167,205,208,209,207,207,207,206,206,205,204,202,160,153,160,145,116,88,80,79,87,84,109,161,155,158,182,201,209,209,208,208,207,207,207,206,205,204,203,201,110,148,151,130,100,67,47,51,100,151,195,210,209,209,210,209,210,209,209,209,209,208,207,205,203,203,202,201,58,96,93,67,45,27,16,21,176,208,209,211,211,212,211,210,210,210,210,209,209,209,207,206,205,204,203,202
1,138,139,141,142,144,145,145,145,146,146,146,145,145,145,145,143,141,144,140,140,139,138,137,136,134,134,132,132,139,141,143,144,146,147,146,147,147,146,147,147,146,147,145,147,138,116,143,143,139,139,138,138,136,135,134,133,140,143,145,147,147,149,149,148,149,148,149,149,148,148,146,157,143,73,125,139,142,140,140,139,138,137,136,134,142,145,146,148,149,151,152,152,151,151,151,151,149,153,136,138,140,85,127,95,133,145,142,141,139,139,137,136,145,147,148,150,151,152,154,153,153,153,153,154,150,163,121,107,129,86,139,89,120,151,144,143,142,141,139,139,146,148,151,152,152,154,155,154,155,155,155,155,155,166,110,109,131,88,135,88,109,155,145,145,144,143,141,140,148,149,151,154,154,155,156,157,157,157,157,155,148,163,97,107,130,88,132,91,102,156,148,148,146,145,144,143,150,152,154,156,157,157,158,159,159,159,160,158,116,153,95,102,127,87,131,100,101,157,150,150,148,148,146,145,151,154,156,157,158,159,160,159,160,159,168,145,97,144,88,115,129,87,125,98,101,158,151,151,150,149,147,147,153,155,157,158,159,161,161,161,161,161,172,128,90,132,85,143,133,90,140,113,98,161,153,154,152,151,150,148,154,156,159,160,160,161,163,165,164,163,174,117,98,143,91,138,117,88,155,119,102,162,155,155,153,152,151,150,155,158,161,163,163,165,165,166,165,170,173,96,104,138,75,116,91,83,152,108,106,164,156,157,155,153,153,151,157,159,161,164,165,167,166,167,165,176,170,104,132,112,85,117,104,120,148,103,107,165,158,159,157,155,154,152,159,160,162,165,167,168,167,168,165,183,156,98,149,139,131,123,115,139,133,100,109,166,158,159,159,158,156,154,159,161,164,166,168,168,169,169,168,184,155,135,117,144,159,158,126,102,108,94,108,169,161,161,160,158,157,155,161,162,165,166,167,169,170,169,174,181,158,136,95,116,125,151,154,132,100,75,105,171,164,163,162,159,158,157,161,164,166,166,168,170,171,169,180,179,138,114,105,109,113,144,161,153,137,91,101,174,163,164,162,161,160,158,162,166,167,168,169,171,172,169,187,182,131,117,123,116,138,157,158,167,144,122,90,156,169,165,164,161,160,159,163,166,168,169,171,172,174,170,189,182,137,123,125,126,159,180,166,157,138,121,83,144,172,165,165,163,161,160,164,167,169,170,171,173,173,171,186,186,152,133,122,135,177,187,167,143,119,104,83,144,173,165,165,165,163,160,164,167,170,171,173,174,174,172,183,194,168,138,127,132,187,194,160,128,106,88,82,144,174,166,166,165,163,161,165,167,170,172,174,176,176,174,180,191,167,142,132,123,186,181,150,120,101,85,89,161,173,169,168,166,165,163,166,168,171,173,174,174,176,176,178,185,164,151,133,130,176,163,138,113,96,83,105,173,170,170,169,166,166,164,166,167,171,173,174,175,176,177,177,180,172,168,142,152,169,148,126,105,92,84,139,177,170,170,169,167,166,164,167,169,171,173,175,176,176,177,176,175,176,168,140,137,149,135,112,98,87,96,167,173,172,170,169,168,167,165,167,169,172,173,175,176,177,178,179,177,170,154,133,122,128,124,109,97,85,114,179,173,173,172,170,168,167,166,167,169,171,174,176,176,177,177,178,178,164,142,131,132,129,126,122,97,83,139,180,173,172,171,170,168,167,167,166,168,170,173,174,175,176,176,176,176,172,154,153,147,131,120,121,91,80,159,176,172,172,171,169,167,166,166
4,150,153,158,160,163,165,167,169,171,172,172,174,175,176,177,177,177,175,177,176,176,176,175,174,174,173,173,173,150,154,158,161,163,164,166,169,171,172,173,175,176,177,177,177,178,177,178,178,177,176,175,175,175,175,175,174,152,156,159,162,164,165,168,170,171,173,175,175,177,186,181,164,167,186,172,166,177,179,177,178,177,176,175,174,153,158,160,163,165,168,169,171,172,174,182,176,180,207,181,161,152,198,169,141,154,179,178,179,178,177,175,175,155,158,160,164,166,169,171,172,173,194,214,190,168,208,187,160,168,205,171,133,132,171,152,171,180,178,177,176,156,159,162,165,167,170,172,174,175,216,231,208,152,181,196,154,178,208,170,131,169,164,123,128,177,177,176,177,156,160,165,166,170,171,173,174,186,219,222,197,142,166,196,154,180,198,167,168,184,141,110,96,162,180,178,178,158,162,165,168,171,172,174,173,202,209,206,186,129,147,179,183,184,194,210,217,177,118,96,91,160,181,179,179,158,162,166,169,172,174,175,175,213,202,192,184,126,124,166,178,197,211,221,208,181,134,93,90,168,182,181,181,158,162,167,170,172,175,175,190,222,197,173,178,125,108,157,127,154,186,192,185,189,151,102,99,176,183,182,181,159,163,166,170,172,175,176,210,213,177,158,142,106,110,156,108,133,168,153,180,199,164,115,119,183,184,183,182,160,164,167,171,173,175,180,224,204,164,144,135,114,117,131,110,128,159,111,184,214,181,130,121,183,184,184,183,162,165,168,172,174,175,186,233,205,163,136,123,111,119,118,127,134,151,141,187,223,194,143,106,166,186,185,184,162,165,169,172,175,176,197,238,205,162,133,118,113,122,125,157,162,184,202,198,207,187,147,108,138,188,186,186,162,166,170,173,176,177,208,240,204,158,135,129,119,117,132,169,186,209,206,202,179,164,151,117,133,188,187,187,162,167,171,174,177,177,216,238,203,159,153,146,126,128,165,203,214,212,204,188,160,138,138,114,153,190,188,187,162,165,169,172,175,177,220,237,204,176,179,158,146,185,217,230,218,209,195,170,144,122,114,116,177,188,187,187,162,165,169,172,176,178,224,238,217,201,194,166,169,218,231,237,219,196,180,157,136,115,102,148,189,188,187,187,162,166,170,173,177,178,223,241,228,209,195,178,177,225,233,231,210,177,164,147,130,107,117,181,190,189,189,189,162,166,170,174,177,178,217,242,231,211,192,182,185,227,229,215,193,164,150,138,119,103,155,192,191,189,189,189,163,168,171,174,178,177,208,239,223,210,194,184,189,215,211,193,173,153,145,131,105,122,186,192,192,190,190,189,164,168,171,174,178,178,205,230,211,204,199,186,186,199,196,179,157,145,141,119,104,165,193,191,191,191,189,188,163,166,171,174,178,179,200,220,200,201,200,183,178,196,193,173,146,134,129,109,140,191,193,192,190,190,189,188,161,165,170,172,176,177,194,217,200,200,194,179,170,193,192,160,131,123,116,123,180,191,191,190,189,189,188,187,136,137,138,139,141,140,164,223,211,205,192,181,165,185,184,146,121,115,106,120,141,140,139,138,137,137,137,138,104,102,101,102,103,101,130,229,224,212,198,188,166,176,182,144,117,106,101,97,97,95,95,94,93,94,93,95,107,107,106,107,109,108,123,223,229,211,199,191,164,163,184,147,114,101,98,100,100,100,98,97,98,96,103,156,108,108,108,109,109,109,115,213,227,206,191,188,165,154,178,144,110,99,96,101,102,102,99,99,100,97,161,214
22,133,137,140,143,146,149,153,156,158,161,165,164,165,167,168,169,170,171,169,169,170,170,172,172,172,171,171,171,137,140,143,146,149,152,157,159,161,164,166,167,168,170,171,172,172,172,173,173,173,174,175,175,174,174,174,174,139,144,146,149,152,155,159,162,165,167,170,168,142,167,175,176,171,144,173,175,170,175,179,179,178,178,178,176,141,145,149,152,155,158,161,165,168,170,174,160,108,158,180,182,174,109,165,181,148,144,182,181,181,181,181,180,143,147,151,154,157,161,164,168,171,173,181,154,95,159,181,190,174,110,168,188,145,117,183,184,183,183,183,184,146,149,153,157,160,164,167,171,173,175,185,152,91,160,183,196,171,117,174,190,144,113,183,186,186,187,187,187,149,152,156,159,162,166,170,173,176,178,187,161,95,161,187,196,161,120,179,194,150,118,185,189,189,188,189,189,151,154,158,162,165,169,172,176,180,180,191,172,98,156,189,194,148,117,182,192,150,123,189,192,192,191,191,190,153,157,160,164,168,171,175,179,182,183,195,176,98,154,192,184,136,118,186,193,149,125,193,194,194,194,194,194,154,158,162,166,170,173,176,180,184,185,197,186,109,147,192,166,130,117,191,195,150,130,196,195,195,195,196,196,155,160,164,167,171,174,178,181,186,187,195,198,145,130,137,146,136,121,196,198,144,137,198,196,197,198,197,198,157,162,165,169,173,176,180,183,187,189,195,195,168,142,125,126,132,133,200,193,136,148,202,199,199,200,200,200,159,163,167,171,174,178,181,186,189,190,202,212,187,174,173,153,115,136,195,184,128,160,204,201,201,201,202,202,161,165,169,172,176,179,183,187,190,193,197,185,183,147,181,171,121,102,156,154,116,173,204,203,202,203,203,203,162,167,171,174,178,181,185,189,192,196,191,165,166,101,123,173,148,100,98,112,101,182,205,204,202,204,204,204,163,168,172,176,180,182,186,190,193,201,199,163,156,111,66,143,178,134,89,83,99,194,207,205,205,205,206,206,164,169,173,176,180,185,188,191,194,207,195,153,139,116,76,110,194,167,114,81,101,200,208,207,207,208,207,207,165,170,173,177,180,185,189,192,195,212,201,157,118,100,94,157,205,178,134,99,103,202,209,209,209,209,208,208,166,171,174,178,182,185,188,193,196,216,197,152,121,121,132,207,204,166,131,102,105,205,210,209,210,210,209,209,168,172,176,179,183,187,190,194,198,212,192,154,140,130,166,212,190,152,115,90,119,209,210,211,211,212,212,211,168,173,177,181,184,188,192,195,198,209,188,153,145,130,185,211,174,139,107,84,140,214,213,213,213,215,215,215,169,173,177,181,184,189,193,195,198,204,186,153,155,138,195,209,164,128,99,84,149,216,215,216,216,217,216,216,168,173,177,180,184,189,192,196,198,198,186,160,167,143,189,195,156,122,94,80,161,217,215,216,217,217,217,217,168,173,177,181,184,188,192,196,199,196,187,165,169,143,179,176,143,115,90,81,176,216,215,216,216,216,217,217,170,174,178,182,186,188,193,196,199,198,192,167,158,135,162,158,128,112,89,92,191,214,216,216,216,216,217,216,170,174,178,183,186,189,193,197,198,198,192,163,139,125,152,138,124,112,89,125,208,215,215,216,217,217,217,216,169,174,178,182,186,190,193,197,196,200,195,167,144,139,156,128,130,102,89,176,216,217,217,217,217,217,217,216,170,174,178,182,186,189,193,196,193,203,201,178,160,147,155,123,128,88,123,208,216,216,217,217,217,217,217,217
7,151,174,188,195,201,206,210,210,212,215,218,220,220,221,221,223,224,223,223,222,220,220,218,217,217,214,213,212,153,176,189,196,203,207,210,212,213,217,220,221,222,222,222,223,225,225,224,223,223,221,220,219,218,216,214,214,155,178,190,198,203,208,211,213,215,218,221,221,223,224,225,226,227,227,227,225,224,222,222,221,219,218,217,215,156,179,191,199,205,209,213,215,218,220,221,222,224,226,227,227,228,227,226,227,227,224,224,224,222,220,219,217,156,180,190,199,206,210,214,216,218,221,222,223,226,227,228,228,227,228,228,227,228,227,227,226,223,222,220,218,157,181,191,201,207,211,214,215,218,220,222,224,227,230,232,233,234,234,233,231,229,224,220,219,224,224,222,220,158,181,191,200,206,212,215,219,222,225,228,226,226,222,215,207,194,191,188,191,177,167,195,198,191,226,222,221,159,182,192,201,207,212,214,206,198,191,190,189,182,168,163,168,141,151,155,149,150,152,193,189,165,229,227,223,161,183,193,202,208,215,199,167,159,166,168,173,172,161,152,144,140,141,144,139,144,140,140,134,161,204,218,227,162,184,191,202,213,209,188,153,144,151,149,151,153,154,156,159,160,142,148,159,151,146,141,134,140,164,165,217,163,183,196,206,206,194,180,158,142,140,150,161,170,173,172,166,156,131,137,158,144,132,131,122,131,155,138,206,161,196,205,201,193,189,186,175,170,171,177,182,170,168,164,157,136,123,123,125,119,116,117,117,123,136,172,227,197,208,200,198,198,195,178,153,142,148,159,158,150,146,133,122,117,135,153,173,188,202,211,216,223,227,232,229,216,206,204,203,197,178,166,127,120,136,133,119,110,129,181,204,220,230,242,246,244,243,241,239,237,233,230,229,210,207,206,194,173,169,153,121,117,111,98,86,92,104,131,147,232,243,236,237,236,235,235,235,234,232,231,229,209,210,197,179,169,162,155,147,127,105,103,107,105,99,92,70,166,251,236,240,239,238,237,236,236,234,231,230,211,200,178,168,162,159,171,175,144,109,107,111,109,107,108,89,170,253,238,240,238,239,238,237,237,234,232,230,195,177,160,158,157,155,160,156,122,102,99,95,100,101,102,81,132,249,240,241,240,240,238,237,236,235,234,230,170,162,157,156,150,140,142,129,107,93,82,89,104,107,104,88,161,245,239,241,241,241,238,237,236,235,233,231,165,161,158,152,142,126,119,121,118,102,101,114,116,109,89,176,252,241,241,241,241,240,238,237,237,236,233,231,158,147,138,132,125,122,128,140,133,113,104,99,99,104,162,240,239,240,240,239,239,238,237,236,235,234,232,229,148,139,137,134,131,131,135,139,122,97,115,157,189,223,242,236,237,238,238,237,237,237,236,236,234,232,230,229,145,141,141,136,128,123,119,109,105,153,220,241,242,238,235,237,238,238,238,237,237,237,236,236,235,234,231,229,122,126,122,118,113,110,123,161,202,234,234,231,233,234,236,237,238,238,237,237,237,237,236,235,234,233,230,229,90,59,118,166,167,187,210,224,225,224,228,230,233,234,235,235,236,236,236,237,237,236,236,236,233,231,229,228,79,31,154,221,215,222,222,221,224,229,232,234,236,237,239,239,239,237,238,237,235,234,234,233,229,228,229,227,53,39,163,191,180,180,179,179,179,179,178,174,173,175,175,174,171,167,167,166,162,160,158,155,152,148,126,117,32,55,131,137,136,139,137,137,140,139,137,137,137,139,139,136,135,135,133,134,134,133,131,129,128,97,57,55
21,165,167,170,171,171,172,173,173,173,173,173,167,171,173,170,168,166,165,164,164,162,159,157,156,156,154,153,151,166,169,171,173,173,174,174,175,175,175,179,150,121,173,173,170,169,168,167,167,165,162,160,160,157,157,155,152,166,170,173,174,175,176,177,177,177,177,177,159,105,136,182,171,172,171,169,169,167,165,160,146,159,158,156,155,168,170,173,175,177,178,179,180,179,179,179,169,128,93,176,175,173,173,171,170,169,168,158,98,130,167,158,157,170,173,175,177,178,179,180,181,181,181,181,178,145,81,152,183,174,175,174,173,169,170,150,87,123,170,159,159,172,175,177,178,179,180,181,182,182,184,184,182,164,106,121,187,176,178,176,175,171,170,139,82,140,169,161,161,173,176,179,179,180,181,183,183,183,186,185,185,177,124,98,181,180,179,177,176,175,166,120,84,159,166,162,161,175,178,180,181,183,184,186,185,185,186,186,186,187,134,84,165,184,178,178,178,176,160,110,99,173,165,165,163,177,180,182,182,183,186,187,187,187,188,188,187,188,153,93,143,190,179,180,179,169,144,91,124,177,167,167,165,178,181,182,185,184,185,186,187,187,190,190,188,182,171,118,119,192,179,181,180,160,125,72,155,175,168,166,164,178,180,183,185,185,186,187,188,188,190,192,190,186,182,147,105,171,191,184,181,162,110,89,177,171,171,169,166,179,181,183,186,187,188,189,189,190,191,192,192,189,188,181,136,118,161,173,163,145,90,130,183,171,172,170,168,180,182,184,187,188,189,190,192,192,193,193,192,189,137,141,153,113,111,114,123,97,74,163,179,173,173,171,170,181,182,185,188,189,190,191,193,194,194,194,194,185,126,90,131,127,121,127,130,70,91,187,176,175,174,173,171,181,184,186,188,189,190,193,194,194,194,194,195,167,152,108,107,129,110,116,115,73,99,189,177,176,175,174,172,182,185,188,189,190,193,195,194,195,195,196,172,125,148,120,90,112,68,103,135,92,71,177,180,177,176,175,173,183,186,188,191,192,194,195,196,196,196,194,170,118,126,122,68,82,57,87,142,112,64,131,188,176,177,176,173,184,187,189,192,193,195,195,196,197,197,194,175,124,106,105,54,81,83,140,152,139,79,80,185,177,177,176,174,184,188,191,193,194,196,197,197,200,198,189,159,125,96,88,54,85,127,175,156,130,79,75,183,178,178,176,175,185,188,191,193,195,196,197,199,199,198,187,172,152,108,75,64,107,174,162,139,114,62,91,190,178,179,177,175,186,188,191,193,195,196,197,198,198,199,187,176,158,119,97,96,165,181,150,122,110,55,116,193,179,180,178,175,187,189,192,193,196,197,198,199,199,201,185,173,158,128,97,101,169,167,149,124,105,57,138,192,179,179,178,176,186,189,192,194,195,196,198,200,200,201,184,161,151,126,98,100,159,163,141,118,92,56,159,190,181,180,178,176,186,189,193,195,196,198,198,200,200,202,188,158,155,134,111,102,151,156,133,105,72,63,183,185,183,181,179,177,187,188,193,196,197,198,199,201,201,201,198,168,156,138,117,91,132,133,110,89,48,95,197,182,183,181,179,177,185,187,189,192,194,196,197,199,199,199,199,181,166,143,114,93,108,116,95,77,38,142,193,181,181,179,178,176,185,188,190,192,195,197,197,198,199,199,199,186,166,143,116,105,100,109,108,62,70,187,183,182,180,179,178,177,186,188,191,194,195,197,198,198,199,199,197,187,171,146,132,126,110,112,101,50,129,196,182,183,180,179,177,175
19,181,184,186,186,187,189,189,188,189,190,190,190,189,189,188,187,191,189,185,185,185,184,184,184,182,183,182,182,184,185,187,187,188,190,191,190,191,191,191,191,191,190,190,183,154,173,191,186,187,186,186,186,184,183,183,182,185,186,188,190,190,191,192,193,192,192,192,193,194,190,203,181,135,121,194,189,189,188,187,186,186,185,185,184,186,188,189,192,192,193,194,195,195,193,193,195,193,195,211,182,150,107,185,192,190,190,189,190,186,185,186,186,187,190,192,193,194,194,195,195,195,195,195,196,193,200,208,177,145,102,184,194,191,192,189,187,190,187,187,188,188,191,192,193,194,197,197,196,196,196,195,197,193,205,204,158,128,96,182,191,187,183,187,207,175,185,189,189,190,192,193,195,196,198,197,197,198,198,197,197,193,202,199,165,159,171,194,184,193,189,199,236,142,178,191,189,191,192,195,198,197,198,198,198,198,198,196,200,203,202,194,191,199,213,206,188,187,188,167,145,146,192,191,190,193,194,197,198,199,200,199,199,196,203,211,221,223,213,195,175,170,163,160,141,132,131,139,160,192,192,191,192,195,196,197,198,200,200,203,205,205,218,222,219,210,197,191,189,179,119,119,147,169,181,196,201,194,195,193,192,197,197,199,200,200,206,222,214,211,207,209,208,206,205,203,201,192,119,153,211,201,200,196,196,196,195,194,193,198,198,199,201,198,216,230,217,209,208,215,217,219,210,202,196,169,109,129,208,196,198,198,196,196,196,196,194,199,199,202,204,201,215,225,206,201,211,219,221,210,201,203,205,189,114,100,199,199,198,197,196,196,197,196,194,199,200,203,205,202,216,215,200,202,205,199,199,204,213,203,206,198,121,84,168,206,197,199,198,197,197,197,196,201,202,204,205,205,221,202,203,205,195,185,208,212,201,195,195,170,117,82,143,211,199,200,199,198,197,197,197,202,203,204,206,207,215,211,214,212,213,218,218,206,198,191,179,151,108,82,123,212,201,202,201,200,198,199,198,203,204,206,208,208,209,231,221,213,213,214,204,191,184,195,207,199,129,72,150,213,201,203,202,200,199,199,199,205,205,208,209,211,206,227,226,207,202,186,156,181,215,212,200,199,135,97,203,206,204,203,204,202,202,201,200,205,207,210,209,212,207,211,219,205,200,191,198,219,211,190,178,170,122,93,196,209,205,205,204,204,203,202,201,204,208,210,210,211,210,208,215,225,218,210,213,206,191,180,166,147,102,100,205,207,205,206,206,206,204,203,201,207,209,210,212,213,212,209,212,224,212,196,200,192,178,157,125,97,105,187,211,207,207,207,206,206,206,205,204,208,211,211,212,214,216,206,212,214,204,187,182,161,140,113,88,72,176,221,207,209,207,207,208,206,206,205,205,208,211,212,214,214,216,207,210,210,197,177,165,148,123,101,89,123,219,208,211,210,209,209,209,207,206,205,205,208,211,213,216,215,216,207,201,206,193,169,159,157,123,101,91,136,222,210,212,212,211,211,210,209,207,207,205,208,211,213,216,216,218,207,196,198,191,165,150,127,108,102,96,102,213,214,212,212,212,211,211,210,208,207,206,208,210,212,214,215,218,206,195,188,190,179,160,129,111,105,96,100,209,214,211,211,210,210,210,209,207,204,204,209,211,212,214,214,219,199,198,195,185,173,161,132,112,104,94,109,214,212,212,211,210,210,209,209,207,206,205,209,211,213,215,215,220,193,206,212,200,170,143,120,105,103,88,149,221,211,212,212,211,211,211,210,208,206,205
22,130,133,136,139,141,144,147,150,152,155,158,157,157,159,160,162,162,162,161,161,162,162,164,164,164,163,164,163,133,136,139,142,144,147,151,153,155,157,159,159,164,163,164,165,164,168,165,165,166,165,167,167,166,167,166,167,135,140,141,144,147,150,153,155,158,160,162,163,134,162,167,168,164,135,168,167,163,170,170,171,170,170,169,168,136,141,144,146,149,152,154,159,161,162,167,159,97,153,174,173,173,94,159,178,138,135,178,171,172,172,173,172,139,143,145,148,152,155,158,161,164,164,175,152,85,156,174,182,171,99,163,187,138,106,182,174,175,174,174,174,141,144,148,151,154,157,160,164,165,165,180,150,80,159,174,189,168,106,169,186,137,103,180,176,177,178,177,177,143,147,150,153,155,159,162,165,169,167,181,160,85,159,179,189,157,110,175,189,144,109,182,179,179,179,180,180,145,149,152,155,158,162,164,168,173,169,183,172,86,152,183,187,143,107,178,188,142,115,186,181,182,181,181,180,147,151,154,157,161,164,167,171,174,171,188,174,85,150,187,177,129,110,181,188,140,115,189,183,184,184,184,183,148,152,155,159,163,165,168,172,176,174,189,184,95,143,197,159,124,109,186,189,141,120,192,184,184,185,185,185,149,153,157,159,163,166,169,172,177,177,186,193,138,123,129,145,134,111,191,194,134,128,195,184,186,187,187,187,151,155,158,162,165,168,172,174,177,179,184,184,161,136,115,119,130,125,196,188,125,139,199,186,188,189,190,189,152,156,160,163,166,170,172,177,180,178,191,208,177,171,171,152,104,133,194,182,118,152,199,189,190,190,191,190,154,158,162,164,167,171,174,178,180,184,186,175,179,136,184,168,115,93,158,153,106,167,197,190,190,192,192,192,156,160,163,167,170,172,176,179,181,187,180,155,166,85,119,176,145,93,93,115,91,177,196,191,191,192,193,192,156,161,164,168,172,173,176,181,182,191,193,154,154,113,52,145,178,130,85,83,94,191,196,193,193,194,194,194,157,162,165,168,171,176,179,181,182,197,186,143,136,122,72,96,195,163,113,78,96,197,196,195,196,196,195,195,158,162,165,169,172,175,179,183,182,202,194,151,113,98,88,152,201,171,133,98,97,199,196,197,197,197,196,196,159,164,166,169,173,176,178,183,184,207,189,145,115,120,124,207,196,157,130,101,96,202,197,197,198,197,197,197,160,165,168,170,174,177,180,184,186,202,183,146,139,123,160,205,181,147,113,85,113,206,196,198,198,199,200,199,161,166,169,172,176,178,182,185,186,199,180,144,143,120,178,204,165,135,109,78,136,210,198,201,200,202,202,202,161,165,169,173,175,179,183,185,186,194,178,143,151,129,189,203,155,124,102,79,143,211,200,203,204,204,203,203,161,165,169,172,174,179,182,185,187,188,179,150,165,132,182,189,149,119,97,74,156,212,201,203,204,204,204,204,160,165,169,172,175,178,182,185,189,185,178,156,166,134,173,171,138,114,93,75,172,208,201,203,203,203,205,204,162,166,169,173,176,179,182,186,188,188,183,160,156,127,157,155,123,112,90,84,187,203,202,203,203,203,204,203,162,166,170,174,177,180,183,187,187,188,184,155,132,116,150,135,119,115,86,117,205,201,202,203,204,204,204,204,162,166,170,174,176,180,183,187,184,189,186,159,137,133,156,123,130,104,79,175,208,203,204,204,204,204,204,203,162,166,170,173,177,180,183,187,181,193,193,169,156,141,153,118,132,81,121,207,201,203,204,204,204,204,204,204
11,165,164,164,164,163,162,163,163,160,161,160,158,158,157,155,154,152,151,150,148,146,144,143,143,140,139,138,138,168,168,167,168,167,167,168,166,168,139,158,162,160,160,159,157,156,154,152,151,149,147,146,144,143,142,142,124,172,172,171,171,171,172,172,171,177,127,121,170,165,164,162,160,158,157,156,154,152,151,149,146,146,140,89,36,176,176,176,175,176,176,175,175,171,151,92,157,172,168,166,164,162,160,159,156,155,154,152,150,142,72,18,14,180,179,179,180,180,180,179,179,175,163,104,123,177,172,170,168,167,164,163,161,160,157,156,156,96,35,23,25,184,183,183,183,184,183,182,182,179,164,115,99,180,175,174,171,171,168,167,165,163,160,160,149,53,44,37,24,186,187,187,187,186,186,186,185,183,172,145,88,170,181,177,174,174,172,170,169,167,164,165,140,42,44,36,33,189,189,189,189,189,188,189,189,187,188,158,86,151,185,181,178,177,174,173,172,170,167,168,134,43,35,22,27,193,193,193,192,191,191,192,191,189,190,166,90,133,190,183,181,180,178,175,174,172,170,172,120,33,35,18,30,195,195,195,194,194,194,193,194,191,175,165,107,108,191,186,183,181,180,179,177,175,172,177,107,26,30,16,23,196,196,196,196,196,197,196,196,197,176,168,145,92,172,191,189,184,183,182,180,179,176,178,93,24,25,13,19,198,199,199,199,199,200,199,198,199,189,175,179,111,148,127,160,191,185,184,183,181,179,175,64,27,14,16,31,201,200,200,200,201,201,200,199,200,196,174,183,188,176,94,91,194,188,187,186,183,182,177,81,70,76,65,41,202,202,202,203,202,202,202,201,202,201,182,188,162,129,99,70,182,192,189,188,185,182,173,155,149,138,120,74,204,203,203,204,204,204,205,204,193,163,183,196,144,67,83,72,154,197,191,189,186,176,174,168,146,108,81,60,205,206,206,206,206,208,204,195,186,114,101,162,135,71,68,77,116,200,192,191,177,181,180,155,107,91,74,42,207,207,207,208,208,206,196,198,177,122,87,100,138,91,63,76,79,192,198,186,162,172,165,105,86,139,134,37,208,208,210,209,207,196,201,180,137,136,111,79,117,108,61,73,72,137,172,148,156,158,117,105,143,153,146,85,210,210,211,211,200,195,177,135,85,116,117,83,85,112,65,68,81,65,91,130,148,126,102,182,141,112,125,126,212,213,213,212,197,193,176,138,81,81,126,59,50,115,78,61,113,92,91,125,126,89,165,193,173,56,110,127,214,215,214,214,193,194,177,135,90,73,100,33,36,121,78,55,131,108,89,110,86,115,196,189,191,139,126,135,215,215,215,215,202,187,176,159,140,92,55,39,41,123,101,72,87,100,101,89,75,181,196,192,189,188,157,126,216,215,216,217,213,189,183,172,152,118,77,63,82,130,124,90,102,141,105,65,146,202,195,192,189,190,163,119,217,217,218,218,219,198,183,172,164,135,102,76,92,152,137,99,125,116,83,71,192,200,196,193,191,191,167,100,217,218,218,219,220,207,187,174,160,137,108,89,84,135,160,142,124,98,63,110,207,199,196,195,193,193,169,91,217,217,218,217,217,214,182,172,151,137,116,97,88,113,137,131,116,82,59,175,204,198,195,195,193,193,161,127,218,218,218,218,217,219,192,165,155,140,125,109,94,92,112,106,92,57,129,205,199,197,195,194,194,184,142,139,219,219,220,220,217,219,212,165,154,143,133,115,91,78,90,81,60,101,203,202,200,197,195,191,148,135,132,139
24,99,106,113,118,121,126,128,130,133,136,138,141,144,146,148,149,150,151,153,154,156,157,158,158,158,158,158,158,101,108,114,119,123,127,129,132,135,137,139,144,146,148,149,151,152,154,156,158,159,159,159,159,158,158,159,160,103,110,116,120,124,128,130,133,137,139,142,145,148,149,150,152,153,156,158,159,160,160,160,160,160,161,161,161,104,111,118,123,126,129,131,134,138,140,143,147,149,150,151,154,155,158,159,160,161,162,163,161,163,164,163,164,106,112,119,124,128,131,133,136,140,143,146,147,150,150,152,155,157,159,159,161,163,165,165,164,165,165,164,165,108,114,120,125,131,137,125,137,140,144,146,150,151,152,155,157,159,160,161,162,164,165,165,165,166,166,166,165,108,115,120,125,146,139,96,133,142,145,148,152,153,155,158,159,160,161,163,164,165,166,166,167,168,168,167,169,110,117,122,128,160,117,91,136,143,147,150,152,155,157,159,159,161,164,165,166,166,168,167,168,169,170,169,170,112,119,122,141,160,101,102,141,145,149,152,154,156,158,161,162,162,165,162,151,132,144,168,170,171,171,171,171,112,119,121,159,150,92,118,143,149,144,137,151,152,138,147,163,165,165,138,104,85,99,166,173,172,172,172,172,113,120,126,176,139,118,130,134,164,143,105,131,148,125,107,146,171,154,107,77,83,128,171,173,173,174,173,173,115,120,134,181,146,173,146,125,162,140,93,132,140,121,91,116,176,138,91,80,144,172,173,174,174,174,174,174,115,120,148,182,173,187,155,124,157,129,85,120,129,106,82,139,159,115,81,115,175,174,175,176,176,175,175,176,116,120,161,182,175,202,155,118,151,121,76,72,112,112,116,147,124,91,82,156,176,176,177,177,177,177,177,177,118,121,172,192,171,193,146,107,152,115,95,106,140,144,130,126,109,78,111,177,177,179,179,178,178,178,179,179,118,132,179,181,163,173,131,95,154,161,167,167,151,130,112,100,98,80,148,181,179,179,179,180,180,180,180,180,116,154,164,152,139,150,137,122,181,196,184,167,143,119,97,88,85,92,172,181,181,180,180,181,182,182,181,181,123,183,168,144,127,125,144,186,203,195,183,165,135,108,88,82,75,124,183,182,183,182,182,183,183,183,182,182,145,200,171,150,135,121,149,206,196,183,170,147,122,98,82,76,71,152,184,184,183,184,185,185,184,184,184,184,177,205,174,162,153,163,192,203,186,168,155,131,107,90,79,75,77,164,185,184,184,184,185,186,186,186,186,185,196,209,183,170,163,184,196,185,169,152,141,118,96,84,78,73,96,178,185,185,186,186,186,188,187,187,187,186,201,217,192,174,162,175,184,173,160,140,132,108,90,77,72,73,140,185,185,186,187,187,187,189,189,187,187,187,189,221,196,180,167,170,179,174,154,136,124,100,82,70,66,113,180,186,186,187,188,188,189,189,189,189,189,189,168,212,192,177,174,166,165,167,145,124,111,90,69,68,118,172,184,185,187,188,190,191,190,189,189,190,191,191,153,197,193,180,178,164,150,159,142,119,102,77,61,118,177,183,185,187,188,189,190,191,191,191,191,192,192,192,144,193,193,180,168,162,143,150,137,116,96,65,85,166,181,184,186,187,188,189,190,191,192,192,192,193,193,192,145,199,195,174,156,160,142,140,132,111,93,66,117,180,182,184,186,188,189,191,192,191,192,192,193,194,194,194,150,200,196,166,148,161,139,134,131,109,89,68,126,181,182,185,187,189,190,192,193,193,193,194,194,194,195,195
23,92,102,116,124,128,132,137,139,141,144,146,148,150,152,153,155,156,157,158,159,160,162,163,164,165,166,167,167,93,103,117,124,129,133,138,141,143,145,146,150,151,153,154,155,156,158,159,159,162,163,164,165,165,166,167,167,94,106,119,125,130,134,138,141,144,146,149,151,152,155,156,157,157,159,160,160,163,164,166,166,167,167,168,169,97,108,121,126,132,135,138,141,145,148,150,152,153,156,157,159,160,162,162,162,164,165,166,166,168,170,170,169,97,109,122,127,133,137,140,143,146,149,151,152,153,156,158,159,161,163,163,163,163,165,167,166,169,171,171,172,99,111,124,129,134,138,141,144,147,149,152,154,156,157,158,160,162,163,165,166,155,154,152,127,159,172,172,173,102,114,125,129,135,138,142,145,149,151,153,155,157,159,159,160,162,170,175,161,139,129,113,105,164,173,173,174,104,116,126,131,136,138,143,147,150,152,154,156,158,160,160,167,174,168,159,127,101,118,128,158,174,174,175,177,105,118,127,132,137,140,143,147,150,152,154,157,159,160,160,185,173,140,115,105,140,149,171,175,175,176,177,178,106,120,128,133,136,140,144,147,150,152,155,158,159,160,163,192,172,119,114,168,162,112,157,177,176,177,178,178,107,120,127,133,137,141,145,148,151,153,156,159,160,161,167,195,178,161,185,183,149,119,137,178,177,179,179,179,108,121,128,134,139,142,147,149,151,153,156,159,160,162,173,193,185,192,184,164,151,152,128,141,150,179,180,180,109,122,128,133,139,143,147,150,152,154,156,159,162,163,173,184,181,182,174,175,173,159,117,84,101,163,183,182,111,123,129,133,139,144,147,151,153,155,157,160,162,166,173,172,169,177,180,172,162,143,101,64,71,122,179,183,113,124,129,134,140,144,148,151,153,155,159,161,170,181,174,164,165,169,164,160,157,134,89,61,64,80,123,175,114,125,130,135,140,145,149,152,154,156,159,160,184,196,173,166,165,163,158,150,136,119,86,63,59,79,87,143,115,125,130,135,140,145,149,152,154,156,158,160,177,200,182,177,160,135,116,102,106,119,85,61,56,79,89,155,116,126,131,137,140,145,150,153,155,156,159,161,172,196,183,169,151,130,90,55,102,121,83,62,71,87,113,181,118,127,132,137,142,147,151,154,157,157,160,163,173,190,172,162,165,120,77,63,108,99,63,62,86,92,148,188,119,127,131,136,142,147,151,155,158,158,161,163,172,192,171,173,166,111,59,56,62,49,55,72,92,108,180,188,121,127,132,137,142,147,151,154,157,159,161,164,173,188,173,178,161,120,71,32,36,53,77,87,90,139,188,188,121,128,133,138,142,148,151,154,157,159,161,164,174,185,175,181,161,123,85,41,55,79,94,97,101,172,187,188,122,128,133,138,143,149,152,155,157,159,162,164,176,185,178,180,161,125,95,55,69,91,98,95,130,188,187,189,122,127,133,140,144,148,152,156,158,161,164,165,179,184,180,177,157,125,94,60,76,96,98,91,154,190,189,190,123,127,133,140,144,148,152,156,158,160,164,166,181,186,175,169,152,124,96,72,76,96,95,98,175,189,189,190,123,128,134,140,144,148,153,156,158,161,165,166,180,184,170,163,147,124,100,83,77,92,88,126,188,187,188,189,123,127,134,140,144,148,153,156,159,161,164,167,180,183,170,162,145,126,106,87,80,87,95,168,189,188,189,189,122,127,134,139,144,149,153,157,159,161,165,167,186,182,172,163,146,129,110,89,82,85,133,187,188,190,190,191
21,211,214,217,218,218,220,221,221,221,221,221,214,218,221,217,215,213,212,210,210,208,204,202,200,200,198,197,194,212,216,219,220,220,221,222,223,223,223,228,193,159,221,220,218,216,215,213,214,211,208,205,206,202,201,199,196,213,217,221,221,223,224,225,226,226,226,226,204,140,177,231,218,220,219,216,216,214,211,206,188,204,203,200,199,215,218,221,223,225,227,227,229,228,228,228,216,167,126,224,223,221,221,219,218,216,214,203,132,169,213,202,202,217,220,223,225,227,228,229,231,230,230,231,226,187,111,196,233,222,223,222,220,216,217,193,118,161,217,204,203,219,223,226,227,228,229,230,231,231,233,233,231,210,141,159,238,225,226,224,223,219,218,180,113,181,216,207,206,221,225,228,228,230,231,232,232,232,236,235,235,225,162,131,230,229,228,225,225,223,212,158,115,205,213,208,206,223,227,229,230,232,234,236,235,235,237,237,236,237,175,115,211,234,227,227,226,225,206,146,133,221,211,211,209,225,229,231,231,233,236,237,237,237,239,239,237,239,197,125,185,240,228,229,228,216,186,123,163,225,213,214,211,226,230,232,235,234,235,236,238,238,240,241,238,232,218,155,157,243,228,230,228,205,164,101,199,223,215,213,210,227,229,232,235,235,236,238,238,239,241,243,241,236,232,190,140,218,242,234,231,207,145,121,226,218,219,215,213,228,230,233,236,237,238,240,240,241,243,244,243,239,239,231,177,155,206,220,209,188,122,169,232,218,219,218,215,229,231,234,237,239,240,241,243,244,244,244,244,240,178,183,197,150,147,151,162,130,103,209,228,221,221,219,218,230,232,235,238,240,241,242,244,246,245,245,246,235,164,122,171,166,159,166,170,99,123,238,224,223,222,221,219,230,234,236,238,240,242,244,245,246,246,246,247,214,195,144,142,168,146,153,151,102,133,240,225,225,223,222,219,231,235,238,239,241,245,247,246,247,247,248,220,163,191,158,122,148,96,137,176,125,99,226,229,225,225,223,220,232,237,239,242,244,246,247,248,248,248,246,217,156,165,160,96,113,83,119,184,148,91,170,239,224,225,224,221,234,238,240,243,245,246,247,248,249,249,245,223,162,141,139,79,112,113,182,196,180,109,110,235,225,225,224,222,234,238,242,245,245,248,249,249,253,251,240,204,163,129,120,79,116,166,223,200,170,108,105,233,227,227,224,223,235,238,242,245,246,248,250,251,252,251,237,219,195,144,104,91,142,222,208,181,151,88,123,241,227,228,226,223,237,239,242,245,247,249,250,250,251,252,237,224,202,157,131,129,211,231,193,161,146,81,153,244,227,229,227,223,237,239,243,245,248,249,251,252,252,254,235,220,203,167,130,134,216,214,193,163,140,83,180,244,228,228,226,224,236,240,244,246,247,249,250,253,253,254,234,206,195,165,132,134,204,208,182,155,125,81,204,241,230,229,227,225,236,240,245,247,248,250,251,253,253,255,238,202,199,174,147,136,195,200,173,140,101,90,232,235,232,230,228,226,237,239,244,248,249,250,252,254,253,255,251,215,200,180,154,123,172,173,145,121,72,128,249,231,232,230,227,226,236,237,240,244,246,248,249,251,251,252,252,230,212,185,151,126,144,153,128,107,61,184,244,230,231,228,226,225,235,238,241,244,247,249,249,251,252,252,251,237,213,185,153,140,134,145,143,89,98,238,233,231,229,227,226,225,236,239,242,245,247,249,250,251,252,252,249,237,218,189,172,165,146,148,136,74,169,248,232,232,229,228,226,223
19,175,178,179,180,183,184,184,184,184,184,184,185,184,184,184,183,182,181,180,180,179,179,178,177,176,174,174,174,177,177,179,181,183,184,185,185,185,184,185,186,184,185,185,184,183,182,182,182,181,178,178,179,177,176,177,174,177,178,180,181,183,185,188,186,187,186,186,185,185,185,187,185,184,183,183,184,182,180,180,180,179,177,177,177,177,180,182,184,184,185,187,186,187,188,188,187,185,187,187,186,185,185,184,184,184,182,182,180,180,178,177,176,179,181,182,184,186,186,187,189,190,187,186,189,191,186,187,187,186,186,184,184,185,185,184,181,180,178,178,177,180,185,184,186,189,190,191,189,192,196,172,146,172,194,188,190,188,187,185,185,186,185,185,183,181,180,179,179,182,185,187,188,189,191,191,192,192,228,203,162,110,172,196,189,190,188,187,187,187,186,186,184,182,182,180,179,183,184,186,188,189,191,193,196,186,217,233,191,127,93,192,191,192,189,188,189,189,186,187,185,183,183,182,181,186,187,187,191,192,193,195,195,193,199,231,198,143,68,144,204,190,192,189,188,188,186,185,185,184,183,183,181,187,188,190,194,193,194,196,198,191,198,222,186,134,71,108,207,190,192,190,188,190,188,186,185,184,184,184,183,186,189,192,194,194,197,200,196,208,243,213,177,158,105,117,193,191,197,197,193,190,188,189,188,186,184,184,184,188,190,195,196,198,199,197,197,249,233,194,170,183,197,191,175,165,168,176,188,195,192,192,188,188,187,184,185,190,193,195,197,198,201,192,230,244,202,146,118,145,195,217,215,201,185,155,157,162,180,189,193,188,186,185,185,192,197,195,197,198,197,211,255,236,211,173,114,92,135,183,202,211,211,195,181,170,175,161,163,179,191,190,185,195,197,196,199,202,196,242,248,219,198,177,170,143,132,140,150,159,175,191,204,211,216,194,153,145,141,177,191,194,196,197,201,200,211,247,230,186,156,156,146,180,185,163,148,129,110,122,145,159,189,203,193,172,129,124,165,193,196,200,203,201,240,255,239,186,152,143,134,142,187,196,185,161,119,92,147,170,161,161,161,161,161,155,166,197,199,199,198,215,255,255,228,190,170,173,174,167,147,158,178,176,145,124,115,196,203,190,176,162,156,152,154,197,199,202,199,236,255,245,210,179,178,194,192,192,166,88,135,139,145,148,112,173,207,199,201,199,193,183,178,198,201,198,220,252,254,238,192,157,131,172,210,211,206,114,137,108,109,112,132,200,202,201,200,198,198,198,196,198,198,205,247,248,255,238,188,153,134,118,161,177,193,185,156,127,119,108,193,204,201,201,200,198,197,196,194,199,196,222,251,255,255,225,180,165,163,163,149,118,149,203,173,146,113,177,212,201,201,202,202,197,195,194,192,200,202,244,252,255,246,222,188,177,171,169,158,145,137,136,136,126,157,208,203,204,203,201,199,199,198,196,194,195,218,254,252,250,239,218,198,181,181,178,158,136,127,132,100,169,211,205,204,205,204,203,201,199,198,196,196,194,233,253,249,249,232,204,185,160,161,171,159,146,139,124,156,220,207,206,204,206,206,204,203,201,199,199,197,200,244,248,242,239,223,203,163,124,106,114,133,131,135,158,204,212,210,209,206,205,205,205,204,202,200,200,198,218,245,234,224,221,198,162,128,105,76,150,203,186,197,214,211,211,210,210,209,207,204,203,203,201,199,197,197,241,240,213,206,191,159,128,111,104,88,201,223,218,216,212,212,212,212,210,208,206,204,203,203,200,199,199,197
23,165,169,172,175,178,179,181,184,185,186,188,188,188,188,190,190,189,189,188,188,188,187,186,187,186,184,183,183,165,170,173,177,180,181,183,185,187,188,189,190,190,191,191,193,191,191,192,191,191,189,189,189,187,186,186,186,167,170,175,179,181,183,184,186,188,190,192,193,193,193,193,194,193,191,194,198,194,191,190,191,191,189,188,187,168,173,177,181,183,185,186,189,191,192,192,194,195,195,194,196,200,189,165,169,192,195,194,193,193,192,190,189,171,175,179,182,185,187,188,190,191,194,194,196,197,196,203,204,205,191,185,157,174,187,194,196,194,193,192,191,173,177,181,185,186,188,191,192,193,196,197,199,199,219,200,197,220,162,168,178,175,128,169,202,195,195,194,192,174,179,182,186,188,190,193,194,196,197,200,197,214,216,183,155,161,105,142,147,127,137,194,200,198,197,196,195,177,182,185,188,190,192,194,196,197,199,201,199,225,205,197,104,138,182,205,202,193,204,203,201,200,200,198,198,178,182,186,188,192,194,195,198,199,201,202,207,227,207,206,122,165,219,201,206,207,202,203,202,201,201,200,199,179,182,187,190,193,195,197,199,202,202,200,210,220,206,204,172,190,203,188,152,188,207,204,204,203,203,202,201,179,184,189,192,194,198,200,201,202,212,208,198,196,199,214,213,215,209,189,113,138,220,204,205,205,203,203,202,181,187,191,194,197,198,201,201,206,228,212,192,179,185,194,185,182,174,161,117,127,221,205,208,208,207,205,203,183,187,192,195,198,200,203,201,213,231,213,186,157,164,204,209,201,187,167,117,113,218,207,210,209,208,207,206,183,188,192,195,198,201,204,202,223,232,216,186,165,162,174,178,184,197,177,117,96,215,212,211,210,209,208,207,184,189,194,197,199,202,204,207,232,234,219,199,198,201,183,157,143,152,144,105,92,210,215,211,212,210,209,208,185,190,196,199,201,204,203,214,236,231,217,199,199,185,198,183,162,148,116,96,84,127,200,223,212,214,211,209,187,191,196,200,202,205,207,227,234,233,220,191,180,151,181,199,168,139,105,88,97,132,126,192,222,213,213,212,187,192,197,201,203,202,217,239,236,230,201,145,135,132,125,159,182,139,92,86,97,125,93,81,206,219,214,214,188,193,198,201,204,204,234,244,233,210,189,157,117,95,85,184,208,124,92,80,95,106,90,68,153,227,213,215,189,194,198,203,201,229,248,239,224,198,186,160,121,93,150,192,171,109,82,87,103,105,89,77,175,224,214,215,190,195,199,201,210,249,245,233,210,196,186,150,113,96,135,136,120,90,72,97,113,102,88,166,226,218,217,216,191,196,201,198,232,253,238,227,209,197,175,145,109,74,79,82,95,91,86,100,99,111,192,230,220,220,219,218,192,197,200,210,251,245,237,218,200,187,167,132,103,82,96,105,112,106,100,85,145,215,228,220,222,220,220,220,192,196,197,245,250,234,223,207,192,177,151,121,101,91,111,119,119,104,92,168,233,227,222,222,222,222,221,221,191,193,215,255,237,223,211,193,178,160,140,117,99,97,115,112,98,83,181,238,225,226,225,223,222,222,222,222,201,194,232,253,231,215,203,187,168,153,135,115,95,95,108,89,95,191,235,226,228,227,226,225,224,222,222,222,81,152,255,236,226,204,181,176,161,140,124,102,88,82,85,126,211,238,228,229,227,227,226,226,225,224,224,223,44,140,236,221,219,190,181,170,127,112,93,70,69,118,179,233,233,227,229,228,228,227,227,227,226,225,223,223
5,107,110,114,117,121,125,127,129,130,132,134,134,135,135,135,134,134,135,134,133,134,132,131,130,128,128,128,126,108,113,117,120,124,126,129,132,132,134,136,137,136,136,137,136,136,135,136,136,135,135,133,132,131,130,130,129,110,115,120,123,127,128,131,134,134,136,137,138,141,139,140,139,137,147,85,119,141,136,136,135,134,134,130,129,112,118,122,124,127,129,132,135,137,136,147,127,91,146,141,138,151,137,58,115,145,139,137,136,136,135,133,131,115,119,124,127,130,132,134,137,140,137,156,117,62,146,144,144,160,88,75,147,142,141,140,139,138,137,136,135,116,120,125,128,132,133,139,141,142,137,171,89,83,155,142,158,130,51,119,151,142,143,142,142,141,139,138,137,117,122,127,130,132,145,111,132,145,149,172,57,113,156,150,155,88,75,153,147,145,145,145,144,144,142,141,141,120,124,128,133,132,157,93,96,150,164,155,52,136,155,152,121,61,128,156,149,149,148,148,147,146,145,144,144,121,126,129,134,135,154,122,71,153,167,114,64,150,148,142,69,85,160,152,152,151,150,150,150,148,148,146,146,122,126,131,136,137,148,145,63,146,155,70,81,158,135,129,56,124,163,154,154,153,153,153,151,151,151,150,149,124,129,133,138,141,143,166,90,116,154,79,84,148,125,111,64,143,161,156,158,158,156,153,153,152,151,152,152,126,131,135,139,143,143,166,127,80,148,91,73,106,113,82,79,162,159,156,141,145,157,160,155,153,153,153,153,126,132,137,140,145,146,158,160,103,91,92,74,83,104,65,95,166,148,148,152,142,133,134,159,156,156,155,154,128,133,139,143,147,150,150,161,146,96,82,88,83,88,64,88,129,143,133,134,145,148,106,133,164,157,157,156,130,135,140,144,147,151,153,153,169,148,101,84,70,70,60,85,96,105,87,74,111,125,132,91,135,162,158,158,130,134,139,144,148,152,156,154,182,183,121,81,66,61,58,77,84,63,92,144,168,158,136,131,95,159,160,159,132,136,142,146,150,152,157,155,170,198,136,81,63,61,59,70,68,91,170,169,166,158,147,104,121,168,160,162,132,138,143,147,151,152,157,157,162,199,135,85,65,60,56,72,53,119,182,164,167,142,122,73,146,168,163,165,133,138,144,149,152,155,159,158,158,185,129,88,68,56,55,73,75,86,139,173,159,137,99,66,148,169,164,164,136,140,144,150,152,155,159,159,156,189,132,90,73,58,57,70,81,97,97,104,137,136,83,90,167,167,166,165,134,140,144,150,152,155,160,159,160,187,130,101,83,61,54,73,88,105,115,88,121,121,81,135,174,168,168,167,135,141,146,150,154,157,161,159,162,178,133,109,85,64,54,81,103,112,117,94,92,103,96,170,168,168,168,167,136,142,147,152,155,158,162,159,159,177,136,111,84,67,55,84,106,109,105,87,77,80,136,177,168,169,168,168,137,143,149,152,156,158,163,161,162,171,132,106,86,72,63,79,97,96,94,79,84,137,174,172,172,171,170,170,138,144,149,153,157,159,163,159,176,173,126,104,92,73,70,80,93,93,84,83,155,179,172,172,172,172,172,171,139,145,149,154,158,158,164,156,183,183,140,110,87,75,71,78,84,78,79,138,179,172,173,172,172,172,172,171,139,145,150,153,158,159,165,159,180,172,136,96,72,76,77,79,80,93,151,178,174,175,175,174,174,173,172,171,140,145,150,153,157,160,165,165,180,168,140,96,71,76,76,74,94,165,184,175,175,175,175,175,174,174,173,172
0,181,181,181,181,181,180,180,180,179,178,177,178,177,176,175,175,174,173,172,171,170,169,168,167,166,165,163,163,181,182,182,182,182,181,181,181,180,179,178,179,178,177,177,176,175,174,173,172,171,169,168,167,166,165,164,164,182,182,182,183,183,183,183,182,181,180,180,179,179,179,178,177,175,174,173,172,172,171,169,168,167,166,165,164,183,184,184,184,184,184,184,183,182,181,181,178,176,177,178,176,174,174,173,173,172,172,171,169,168,167,165,164,184,185,185,185,185,184,183,182,180,181,179,166,149,151,167,161,151,157,170,171,170,171,171,170,169,168,166,165,185,186,186,186,185,184,182,174,161,162,168,153,126,112,133,138,119,113,140,147,140,150,165,164,164,168,167,166,187,186,186,186,186,185,182,168,146,133,144,151,125,101,112,135,117,94,101,120,105,101,135,142,144,166,168,167,187,187,187,187,186,186,184,175,155,131,121,144,130,105,109,138,122,95,95,121,106,80,97,124,125,163,169,167,188,188,187,187,187,188,181,171,160,134,109,136,132,107,108,137,123,93,88,117,106,76,77,113,115,154,169,169,189,188,188,188,187,187,172,152,154,124,100,132,127,100,102,130,115,86,78,106,97,70,72,110,106,135,167,170,189,189,189,189,188,183,159,137,146,115,97,125,114,87,94,121,105,78,82,114,100,65,73,116,111,110,152,170,189,189,189,189,190,183,163,143,145,119,103,123,112,84,94,122,104,78,103,131,103,63,80,121,117,96,128,168,190,190,190,190,189,178,158,139,134,118,105,128,120,88,104,133,112,82,108,125,87,65,104,131,116,88,120,166,191,192,192,191,185,165,140,121,107,94,95,126,118,86,104,132,112,75,66,73,60,86,129,134,106,89,139,169,192,192,192,191,184,163,137,113,92,81,83,102,102,79,80,102,97,81,75,65,76,120,137,123,91,110,162,172,193,192,192,189,181,163,140,114,93,87,88,91,96,92,87,97,115,128,130,118,114,130,127,102,89,142,172,173,193,193,193,189,180,165,143,118,97,90,93,100,114,124,130,140,148,147,140,132,117,116,110,83,105,164,174,174,194,194,194,191,183,167,147,126,105,96,98,113,136,149,156,159,155,145,136,126,106,97,90,79,135,174,175,174,194,194,194,191,184,169,151,133,116,110,110,133,157,163,164,161,152,140,130,119,96,80,74,102,163,178,176,175,194,195,194,192,187,172,156,140,128,125,132,155,168,168,166,158,147,135,123,107,82,66,88,146,176,178,177,176,194,195,194,192,187,175,161,147,137,135,152,164,170,170,164,151,140,127,111,91,68,82,141,174,179,178,178,177,195,195,194,191,186,178,165,152,140,141,159,167,170,167,156,141,128,115,96,74,78,135,174,180,180,180,178,177,195,196,195,190,185,180,169,157,143,141,159,166,164,157,144,128,114,98,78,77,130,174,181,181,180,180,179,178,196,196,196,191,186,181,173,163,150,144,157,162,154,144,130,114,95,76,75,125,173,183,183,182,181,180,179,178,195,196,197,193,187,180,174,167,157,148,154,154,143,131,118,98,75,74,124,172,184,185,183,182,181,180,179,179,195,196,196,192,186,179,180,175,163,152,150,145,130,117,102,79,76,127,175,186,186,186,184,183,182,180,179,179,196,196,196,191,185,178,181,175,161,150,144,135,119,102,84,77,128,177,188,188,187,186,185,184,182,181,180,179,197,197,194,189,181,173,177,169,157,147,138,126,109,91,73,101,171,189,189,188,188,186,185,184,182,182,181,180
1,206,209,212,214,216,217,218,219,222,221,222,223,222,219,223,226,220,223,223,223,221,222,222,223,222,222,221,221,209,213,216,217,219,221,222,222,224,224,223,225,227,231,207,188,227,223,225,225,223,224,224,224,226,224,222,222,214,217,218,222,223,223,223,223,225,226,225,228,214,235,223,121,228,235,225,226,226,226,227,227,228,227,226,224,217,219,220,223,225,226,225,226,228,232,227,251,201,180,235,117,192,208,229,229,231,231,231,230,231,230,229,228,219,222,224,227,227,230,230,230,231,233,227,255,196,174,236,124,153,158,176,244,230,233,232,234,234,233,231,231,221,224,226,228,230,230,233,233,233,234,233,255,201,177,251,158,152,190,130,243,233,234,234,235,234,234,234,233,224,227,228,230,232,233,235,234,236,235,210,255,220,162,254,182,144,202,126,222,242,237,238,237,235,236,236,234,226,229,232,233,232,234,238,237,238,249,163,214,245,150,237,195,153,226,154,191,247,238,241,241,241,239,238,237,228,231,232,234,236,238,240,239,242,253,151,204,246,149,218,208,163,245,191,159,251,240,242,243,242,242,241,239,229,232,234,235,239,240,243,241,246,255,160,206,243,154,224,225,160,218,226,147,232,248,245,244,243,242,242,241,232,234,236,238,241,241,246,242,250,255,162,220,255,175,206,246,157,192,245,157,201,255,245,246,246,245,245,245,233,235,237,239,241,244,247,244,252,249,160,209,255,169,164,241,150,192,255,176,169,255,245,249,248,248,247,245,234,237,240,242,243,246,247,246,255,247,186,165,255,135,150,232,150,169,254,196,150,254,250,250,250,249,248,247,234,238,241,243,244,245,248,245,255,251,177,129,241,215,194,185,211,223,193,175,143,240,255,251,251,250,250,249,236,239,242,245,247,246,249,247,255,240,178,182,181,255,199,202,243,207,172,181,132,205,255,250,252,253,252,251,239,241,243,245,248,247,248,250,255,238,228,222,150,216,225,255,247,223,170,165,144,149,255,254,255,255,254,251,239,242,245,247,248,249,250,252,255,231,214,202,156,213,255,255,225,255,235,180,140,119,250,255,255,255,255,255,238,242,245,248,248,250,250,254,255,225,194,185,218,235,224,201,163,255,255,248,189,106,221,255,255,255,255,255,238,241,242,247,247,248,248,255,255,235,183,186,175,170,160,151,194,248,255,244,212,150,194,255,255,255,255,255,238,241,242,244,247,248,249,254,255,255,181,180,180,179,197,235,255,249,241,226,181,142,172,255,255,255,255,255,239,241,244,246,248,248,248,252,255,255,193,186,208,204,255,255,255,255,236,213,171,106,171,255,255,255,255,255,240,242,245,248,248,249,250,253,255,255,217,198,222,201,255,255,255,255,230,197,162,101,163,255,255,255,255,255,238,241,244,248,249,250,251,251,255,255,237,212,242,199,255,255,255,255,221,184,151,101,186,255,255,255,255,255,239,240,243,247,249,250,251,247,255,255,254,231,255,200,238,255,255,251,212,175,139,106,227,255,255,255,255,255,246,248,249,253,254,255,255,252,255,255,255,249,245,219,212,255,255,241,205,167,125,112,255,255,255,255,255,255,201,206,212,220,222,224,231,233,238,255,255,255,235,222,188,255,255,229,192,155,117,136,255,255,255,255,255,255,118,122,125,126,127,130,134,136,133,255,255,253,227,211,183,245,250,213,175,147,124,137,201,203,204,206,237,255,126,128,129,129,131,130,130,134,115,223,255,237,222,209,187,221,235,207,164,144,132,123,121,120,150,218,243,254
7,184,186,186,189,191,191,190,191,191,192,191,192,192,192,192,192,192,192,192,192,190,189,188,186,184,183,182,180,185,188,189,190,191,192,192,194,194,193,193,193,193,193,194,196,194,193,194,194,192,191,190,187,185,185,185,183,187,189,191,193,194,195,194,194,195,196,196,196,197,197,197,196,196,197,196,196,195,193,191,190,189,187,186,184,189,191,193,194,196,196,197,197,197,198,199,199,199,199,199,197,197,198,199,197,196,195,193,191,191,189,188,185,192,193,195,195,197,198,199,198,199,199,199,200,200,199,200,200,199,199,200,199,198,197,195,195,193,192,190,190,193,196,197,198,198,200,200,200,201,200,200,202,201,201,202,201,201,201,200,200,199,197,197,197,195,193,191,190,195,197,197,199,201,202,202,202,203,202,202,203,203,204,204,203,203,203,202,202,202,200,199,198,198,195,194,192,197,198,199,201,202,203,204,204,206,208,207,205,206,206,206,205,205,206,205,204,204,203,199,198,200,198,196,195,197,199,201,202,202,205,208,212,200,180,195,203,203,201,204,206,207,205,204,203,201,200,206,202,200,198,198,196,198,199,202,206,211,213,215,219,210,175,155,176,191,189,192,192,189,192,193,194,190,203,220,187,204,199,198,197,202,208,213,216,216,213,210,208,206,176,141,156,173,182,182,176,171,175,171,180,172,172,159,184,204,200,200,200,217,218,217,213,207,200,191,191,199,180,146,136,144,163,174,183,182,173,174,177,167,168,173,176,201,197,200,201,216,213,206,201,197,191,190,196,207,193,149,138,138,133,138,143,145,147,156,160,160,162,173,166,174,171,202,201,212,202,192,187,184,186,189,198,194,172,148,141,151,153,146,124,128,179,174,171,165,163,165,169,169,193,206,204,209,198,186,181,183,182,177,187,196,173,137,120,135,154,157,151,130,195,223,215,215,214,212,211,213,210,205,205,211,202,194,188,189,188,184,186,201,186,148,133,139,138,137,136,128,201,216,212,214,213,212,210,208,210,207,209,204,202,199,193,190,188,188,191,200,186,155,152,160,149,150,120,169,226,215,217,215,215,214,213,212,211,213,194,195,198,199,198,193,186,183,185,178,167,152,149,156,152,141,142,221,218,217,218,216,216,215,214,213,217,169,118,158,184,201,196,185,180,173,163,148,132,117,91,101,134,122,178,228,217,218,218,217,217,216,215,220,201,115,119,64,92,140,174,163,147,147,151,174,190,124,81,99,121,146,217,219,219,219,218,216,215,215,217,214,156,109,105,44,38,47,61,124,196,206,220,224,230,208,136,158,181,214,223,221,220,219,216,217,222,218,214,152,104,95,75,40,39,35,38,197,228,221,220,219,219,222,222,223,227,222,222,222,221,219,223,224,183,140,120,99,88,77,63,33,33,24,59,224,217,218,221,222,222,221,221,219,219,221,223,223,220,223,201,146,109,108,98,90,76,65,58,34,35,23,49,222,219,219,220,221,221,222,222,222,221,223,222,221,232,204,117,75,77,96,85,80,80,71,55,42,38,11,46,229,224,225,225,225,227,228,229,228,228,227,228,230,200,135,110,79,56,72,79,71,74,76,59,42,25,6,31,182,188,190,193,195,197,200,200,202,204,204,208,195,111,82,113,75,49,52,69,64,66,76,68,27,11,10,38,114,112,113,115,117,120,123,124,125,127,124,136,135,89,73,105,72,42,48,56,58,60,70,72,15,14,12,59,127,118,118,120,119,118,118,120,119,116,121,131,119,80,66,97,67,42,44,52,54,56,63,70
12,168,169,168,168,168,170,170,169,169,165,164,164,163,162,162,162,159,159,159,155,155,152,151,151,151,150,147,146,172,172,170,170,170,171,172,171,170,168,167,167,165,165,164,163,162,160,161,160,159,157,154,154,153,153,151,149,175,175,174,173,174,175,174,174,174,172,171,172,168,168,167,164,167,165,164,162,162,160,160,157,155,154,153,152,178,178,177,177,178,178,177,178,179,177,174,174,172,172,171,174,168,168,168,172,167,161,162,160,159,156,154,154,180,180,179,180,180,180,180,180,180,179,177,178,175,160,124,137,176,170,156,140,153,172,164,161,161,161,158,158,184,183,180,181,184,183,183,182,182,180,180,180,180,162,130,72,142,171,141,106,70,146,175,167,166,163,162,161,188,187,184,185,187,187,186,183,184,184,182,180,191,184,150,108,70,131,163,123,65,78,177,151,166,169,164,163,188,188,186,187,187,187,188,187,187,187,183,188,195,198,166,134,69,67,175,132,89,48,86,106,90,153,171,165,189,189,190,190,190,190,191,191,189,190,192,191,172,186,176,131,97,45,153,141,105,39,33,99,60,77,180,167,192,192,192,191,190,190,192,193,191,176,166,181,168,175,169,125,81,25,135,140,105,38,25,87,57,26,166,174,193,192,192,191,192,192,194,190,188,157,109,124,160,152,161,109,61,32,151,131,94,31,22,78,51,18,163,177,195,194,194,194,197,197,194,183,190,165,141,114,111,100,165,121,74,48,161,116,85,26,39,91,53,39,184,174,197,196,197,196,199,199,195,191,191,184,166,151,86,56,165,163,93,60,161,121,76,31,83,107,40,88,193,175,199,200,200,198,200,197,200,180,152,179,180,158,118,71,159,161,89,65,179,149,78,67,117,93,30,140,188,177,202,201,201,200,201,196,202,183,118,128,179,162,128,61,93,131,62,92,195,143,69,104,148,95,39,170,185,180,203,203,205,203,203,199,208,205,160,68,104,155,99,45,19,40,10,46,148,118,58,141,165,87,96,191,181,183,204,204,206,207,204,204,194,172,134,79,45,132,77,47,27,31,16,42,86,51,57,198,158,69,99,201,183,186,206,205,207,209,205,198,202,187,161,121,55,93,95,70,55,52,52,125,159,131,127,140,104,37,40,198,186,186,207,207,207,207,206,195,209,201,171,117,70,72,107,98,61,61,140,168,172,149,157,125,46,18,47,196,187,187,209,209,208,208,209,194,209,210,179,130,106,82,95,108,85,145,202,192,186,143,139,130,72,18,98,206,186,189,209,208,208,210,210,195,205,211,183,150,117,100,97,126,179,203,212,202,183,139,124,110,60,19,161,200,189,188,211,210,211,212,212,197,198,204,182,155,119,107,104,147,210,207,206,193,165,129,109,90,45,40,199,195,193,189,213,214,214,213,214,198,190,194,184,156,119,118,109,163,213,203,198,178,147,123,98,77,23,95,212,193,195,193,215,215,215,213,217,200,188,195,182,154,123,123,116,181,206,204,189,159,135,118,88,56,29,181,204,196,196,195,216,216,215,214,218,205,187,191,188,165,135,119,116,188,197,198,178,147,124,103,79,24,84,215,197,199,198,196,216,217,216,216,218,212,189,190,188,177,145,116,113,179,187,182,160,134,109,84,61,15,164,210,201,201,200,198,218,218,216,217,219,217,190,190,186,169,137,117,111,158,173,161,141,111,87,66,21,66,215,202,206,202,200,200,218,217,217,218,220,216,192,188,181,160,131,117,114,144,159,147,124,97,68,45,16,171,213,203,206,203,201,201
24,177,179,180,181,182,182,183,183,184,184,185,185,185,185,185,185,185,185,184,184,183,182,181,170,116,55,36,30,180,181,182,183,184,185,185,186,186,186,187,187,187,187,187,187,186,187,186,186,186,185,184,173,116,52,41,42,182,183,184,185,186,187,188,188,188,189,189,189,189,189,189,189,189,189,189,189,188,187,186,180,133,62,49,53,183,185,186,187,188,189,190,190,191,191,191,192,192,192,192,192,193,192,192,191,190,189,188,186,160,84,52,49,185,186,188,189,190,191,192,193,193,193,193,194,194,194,194,194,195,194,194,193,192,192,191,189,178,118,57,41,187,188,190,191,192,193,194,194,194,195,195,195,195,195,196,196,196,197,196,195,195,194,193,192,189,150,68,36,188,190,192,192,193,194,195,195,196,197,196,196,197,197,198,198,198,199,198,197,197,195,195,195,193,174,93,50,189,191,193,193,193,195,196,197,198,199,198,198,199,199,199,199,200,200,199,199,199,198,197,196,195,188,139,116,191,192,194,192,178,186,198,199,199,199,199,200,200,200,201,201,201,201,201,201,200,200,199,198,197,192,159,159,192,194,195,190,158,160,194,200,200,200,201,200,201,201,202,202,202,203,202,202,202,201,200,200,199,194,171,177,194,195,196,191,157,134,180,200,201,201,201,201,202,203,203,203,204,204,202,202,203,202,201,201,200,198,186,172,195,196,198,196,170,130,154,196,202,202,203,203,203,203,204,204,203,205,193,184,197,203,203,202,201,199,192,168,195,197,199,199,185,149,133,177,202,204,204,205,202,195,199,202,185,192,185,151,170,202,204,203,200,189,172,156,196,199,200,200,196,173,137,146,189,204,204,207,204,182,181,193,160,156,182,147,150,199,205,203,198,173,138,123,196,198,200,200,200,189,162,143,162,195,204,209,214,194,171,175,161,144,179,156,150,198,205,206,195,152,125,131,195,197,199,199,200,197,181,159,151,175,197,205,214,210,175,155,168,148,171,164,153,194,200,204,177,134,154,183,196,197,199,200,201,200,193,177,168,177,183,187,191,207,184,145,154,153,168,170,142,166,186,191,153,143,187,200,196,197,200,201,201,202,201,197,196,189,173,161,157,179,186,145,130,152,168,177,134,139,175,169,141,172,200,201,196,198,200,201,201,202,204,206,209,192,167,145,131,145,174,148,118,153,165,178,147,149,169,146,148,193,203,202,191,194,196,197,199,200,202,203,208,206,186,154,132,137,159,154,124,153,163,153,161,168,159,131,162,201,204,203,149,151,154,157,160,163,166,168,177,207,212,189,153,137,151,161,140,149,171,161,186,171,146,131,176,197,198,198,106,106,107,109,110,110,112,113,122,186,222,215,189,150,148,169,172,172,192,196,187,155,132,120,142,154,164,178,103,102,103,104,103,103,104,104,107,159,215,217,209,175,150,161,197,217,221,206,174,141,123,125,145,165,183,198,104,102,102,102,103,104,104,105,106,131,192,212,217,196,163,152,179,216,217,192,161,129,130,174,196,203,206,210,102,102,102,102,102,104,104,105,106,112,156,208,219,203,170,151,161,197,200,176,147,121,146,184,191,199,202,202,101,102,103,102,102,103,103,104,105,106,125,188,206,186,160,145,151,174,179,157,128,120,167,183,170,176,188,193,101,101,102,102,103,104,103,103,104,105,111,166,193,173,159,151,152,163,165,143,114,123,172,187,159,150,169,184,101,101,101,102,103,105,102,102,103,104,107,153,194,183,175,165,159,163,161,135,107,125,169,186,160,140,160,176
13,171,173,177,184,190,194,197,198,201,204,208,210,211,213,216,217,218,218,218,220,221,219,219,219,220,221,219,219,173,175,179,185,191,195,198,199,202,205,209,211,213,215,217,218,219,220,220,222,222,221,221,220,223,223,223,221,175,177,181,188,194,197,199,201,204,207,210,213,215,217,219,220,220,222,222,221,222,222,224,223,224,224,224,223,177,179,184,190,196,199,201,204,206,209,211,213,216,219,220,217,221,217,221,229,229,226,224,225,226,225,224,224,178,180,185,191,196,200,203,206,209,211,213,216,219,220,226,247,245,205,166,201,214,225,231,226,227,227,226,226,180,182,187,193,198,202,205,208,210,213,217,217,220,218,220,239,249,204,147,124,167,169,207,232,227,228,228,228,179,184,189,194,199,203,206,209,211,216,218,223,233,191,173,184,236,208,153,120,178,156,135,232,230,229,229,228,180,184,191,195,201,204,206,211,213,218,208,243,255,223,185,142,198,238,182,123,184,154,134,231,231,231,230,230,181,184,192,197,202,205,209,211,215,232,184,167,246,251,212,149,127,235,188,125,191,165,144,238,231,232,231,231,183,187,192,197,203,207,209,210,241,248,202,145,167,255,227,171,100,145,169,114,218,172,176,241,232,233,232,231,185,188,193,200,204,208,207,238,240,246,229,179,113,230,221,165,106,86,114,115,192,148,197,244,232,235,233,233,185,189,197,202,206,206,224,245,195,223,237,191,108,185,214,153,105,81,124,162,175,150,151,239,236,236,235,235,187,191,199,204,208,209,250,243,202,203,216,170,110,155,212,172,101,114,187,194,167,151,136,199,246,235,237,236,191,195,201,207,208,222,244,218,181,184,199,149,99,127,224,186,107,189,222,198,163,137,143,153,244,237,238,238,191,196,204,210,209,234,254,225,190,165,181,149,95,89,208,169,157,236,217,192,162,141,129,148,245,238,239,239,192,198,207,214,212,238,255,230,204,156,151,142,97,132,216,215,233,227,204,176,156,137,111,192,250,239,241,241,193,200,210,216,213,245,255,239,210,170,146,148,177,221,245,248,241,216,191,166,149,125,125,237,242,242,242,241,195,203,212,218,216,251,255,248,210,188,196,190,204,226,242,238,231,207,181,163,141,108,161,254,239,243,243,243,199,207,215,221,220,252,255,255,221,207,209,183,218,229,237,238,218,195,173,153,134,100,202,254,243,244,243,243,203,212,219,225,225,243,254,255,234,218,211,192,222,240,229,224,201,180,161,146,115,130,251,247,247,246,246,246,205,214,222,227,229,232,255,255,243,224,209,198,214,236,225,203,187,168,157,136,117,228,255,248,249,248,248,247,208,216,223,228,233,230,248,248,244,231,221,209,205,226,220,195,176,158,151,117,204,255,249,251,250,250,248,247,210,218,225,229,235,233,238,253,246,241,236,218,203,218,214,186,156,154,126,168,255,251,254,254,252,249,255,255,212,220,229,233,237,235,231,254,239,235,230,210,197,206,198,175,145,142,133,245,255,254,255,254,253,255,226,172,214,223,231,236,239,239,235,248,216,215,223,213,198,200,187,170,152,121,192,255,255,255,255,255,255,192,107,85,215,224,232,236,240,241,235,255,223,226,234,226,202,190,182,170,152,119,228,255,255,255,255,255,182,100,100,78,216,226,232,236,239,242,232,255,235,237,244,226,207,185,181,169,149,122,244,255,255,255,218,143,94,101,111,80,217,227,233,237,240,245,233,255,252,253,252,228,210,188,178,170,145,124,248,255,255,218,112,93,80,91,110,96
23,177,180,183,186,189,191,194,196,197,197,198,197,197,198,197,195,195,195,194,193,192,191,191,191,189,191,205,216,180,184,187,190,193,197,199,199,201,201,202,202,201,202,202,200,201,199,196,195,195,195,194,193,192,193,178,175,183,188,191,194,197,201,203,204,206,206,207,207,206,203,203,203,199,202,205,199,198,199,199,196,195,196,185,132,187,192,195,198,201,205,208,210,210,211,211,211,210,219,233,234,206,174,191,203,205,202,202,199,199,198,201,167,190,194,199,202,205,208,211,213,215,215,217,241,241,248,255,240,224,207,198,197,192,209,206,204,202,201,200,199,193,196,201,204,207,211,215,217,219,218,230,254,226,203,196,155,168,190,186,156,164,214,209,207,206,205,204,202,195,199,203,207,210,215,217,220,222,219,244,240,223,129,144,187,203,185,165,168,208,216,213,211,209,208,207,205,197,202,205,209,212,216,220,222,224,226,253,239,218,170,200,206,234,227,227,227,222,219,218,217,214,212,210,209,200,203,207,211,215,219,222,225,226,234,248,233,242,253,219,128,209,233,223,221,223,222,222,221,219,216,214,212,201,206,209,214,216,221,224,228,227,240,248,253,255,249,212,130,194,229,234,232,228,225,226,224,223,220,217,221,203,208,211,215,220,222,225,229,227,247,255,255,237,231,190,189,247,179,182,212,227,234,227,228,227,223,228,183,205,210,213,216,222,225,226,229,242,253,249,225,204,220,204,212,240,183,118,110,135,209,236,229,228,230,219,108,207,211,215,219,223,225,231,248,251,239,226,229,236,243,239,196,192,178,122,109,106,150,242,230,226,239,168,97,207,213,217,220,222,239,247,245,243,245,252,255,250,237,220,182,123,165,136,121,114,153,242,235,243,237,122,101,209,214,219,222,225,247,235,233,229,226,237,234,218,204,195,167,105,103,124,123,111,168,254,216,193,149,105,103,210,216,220,223,230,255,241,220,215,221,223,223,219,211,202,164,113,82,113,132,125,135,148,113,89,89,100,100,213,217,221,224,231,249,238,223,225,232,236,234,213,199,186,146,115,94,135,154,140,91,75,97,94,95,97,97,214,217,221,226,229,236,240,238,238,228,229,189,165,171,162,139,113,92,115,150,139,98,78,80,80,98,94,92,214,218,222,227,231,234,239,236,230,212,187,150,105,122,164,141,106,102,124,137,125,89,88,83,78,83,90,85,216,220,224,229,232,232,231,242,241,197,155,130,98,128,177,134,94,111,127,133,109,86,82,84,86,80,80,83,216,220,223,228,231,229,224,249,235,157,127,95,104,137,128,100,110,126,125,124,96,90,89,75,77,85,83,85,216,220,223,228,231,226,222,243,213,158,134,105,83,84,90,110,126,136,135,111,79,87,92,81,68,74,77,90,216,220,224,228,232,222,224,243,213,163,140,111,87,96,121,134,141,141,134,102,71,76,90,90,73,68,73,78,216,220,224,228,232,219,233,248,219,170,145,121,104,106,136,142,144,139,124,91,73,76,80,91,81,66,72,69,221,226,229,234,238,225,229,241,217,179,150,133,113,106,125,142,144,139,110,74,76,76,78,81,88,72,66,71,189,195,199,204,211,205,229,235,215,180,151,142,121,114,114,140,146,137,91,67,78,72,73,76,79,81,62,65,139,140,142,144,139,156,228,226,205,171,154,156,123,118,119,133,142,107,84,78,74,71,65,74,74,77,69,59,150,150,150,153,141,143,230,214,189,160,166,160,123,121,120,131,105,69,84,81,79,74,64,66,72,73,72,57
18,145,146,148,150,153,157,161,165,167,170,173,174,176,179,179,181,183,183,184,185,186,186,186,187,186,186,186,185,145,147,149,151,154,158,162,165,170,172,174,175,177,179,180,182,184,184,186,187,188,188,188,188,187,187,186,187,146,148,150,151,154,160,164,167,171,173,175,177,179,181,182,184,185,185,187,187,189,188,188,187,189,189,187,187,146,149,150,152,156,160,165,169,172,174,176,178,180,182,183,185,186,186,187,188,189,190,187,150,185,188,189,189,147,150,152,154,157,159,165,170,173,174,177,179,181,184,185,186,186,186,188,190,188,202,186,122,137,191,191,189,149,151,152,154,159,162,167,170,174,176,179,181,182,184,186,186,187,187,187,190,182,196,191,137,108,145,174,189,150,151,153,155,160,164,168,172,175,177,180,182,183,186,187,186,191,167,148,164,175,174,203,175,139,110,106,141,150,153,154,157,160,165,169,172,175,177,180,181,184,184,174,186,198,164,145,107,153,165,205,187,151,137,133,106,150,153,155,157,160,165,169,172,177,179,180,180,191,190,154,126,184,172,151,113,129,162,182,178,168,153,136,116,152,153,156,158,161,165,170,174,178,181,182,187,206,195,168,121,159,182,152,119,94,151,136,131,165,163,140,125,152,154,157,160,163,167,171,176,179,181,181,211,220,202,176,137,127,183,153,121,78,120,116,86,189,184,153,131,153,156,157,160,165,169,172,177,181,183,185,213,222,205,179,142,103,174,144,110,68,77,88,78,184,196,164,131,153,157,158,160,165,169,173,177,181,182,196,222,212,188,178,133,91,138,117,95,67,55,67,62,175,190,171,132,154,157,158,161,166,170,174,178,182,185,219,217,201,163,142,106,84,111,103,89,59,57,111,108,185,197,161,131,155,158,159,162,167,171,175,179,181,197,223,198,178,154,104,91,80,107,112,89,90,166,185,162,161,175,146,123,157,159,160,163,168,173,177,180,183,196,236,213,174,140,106,110,81,125,148,137,191,198,187,171,124,154,132,119,157,159,160,164,169,174,178,181,185,195,237,220,187,140,125,122,84,143,173,203,208,188,168,165,129,134,132,114,157,160,161,165,169,175,180,183,185,203,237,222,196,168,150,147,130,145,214,215,194,174,158,159,153,117,126,103,158,161,161,165,170,175,180,184,185,211,235,217,183,169,145,138,156,214,219,200,183,171,164,161,156,120,111,90,159,161,162,166,171,176,180,184,185,216,233,210,184,169,149,149,190,225,213,191,182,177,157,157,148,116,91,72,160,162,163,167,173,177,181,184,185,218,229,208,186,184,153,182,195,213,202,182,181,165,142,154,135,105,81,58,161,163,164,168,173,177,181,185,187,218,225,213,201,187,160,170,193,191,189,172,168,151,143,147,117,90,69,108,161,163,165,168,173,178,182,186,188,215,222,210,207,177,155,151,175,175,176,167,160,145,139,120,95,77,79,187,161,162,165,169,174,179,183,187,188,213,222,212,202,166,135,155,162,173,174,164,154,136,119,91,78,66,157,207,161,163,165,170,174,179,183,188,190,210,219,213,184,147,136,161,162,175,174,163,142,126,103,84,69,110,205,209,163,163,164,169,174,180,183,188,189,212,207,197,183,173,167,166,161,178,169,150,126,113,95,76,75,187,210,209,163,163,165,170,175,181,184,187,193,224,220,213,208,195,180,165,154,173,161,139,115,99,84,71,166,210,210,211,163,164,167,172,176,163,154,182,199,227,221,220,208,193,171,164,152,165,153,130,110,91,72,133,211,212,212,212
8,171,172,173,173,174,174,175,175,175,174,174,174,173,172,170,170,169,168,167,166,166,164,163,161,160,158,156,156,172,173,174,174,175,176,177,177,177,177,176,175,174,173,172,172,171,169,168,167,166,165,164,163,161,159,157,156,173,174,175,176,174,173,178,179,178,178,178,177,176,176,174,173,172,172,170,169,167,167,166,164,163,161,158,157,174,175,177,177,162,145,169,180,180,180,180,179,178,178,177,175,174,174,173,171,170,169,168,166,165,162,160,158,176,177,178,176,145,113,154,181,181,181,181,180,180,179,179,177,176,175,174,173,172,171,169,168,166,164,162,160,178,179,180,171,129,102,153,183,184,183,183,182,181,180,180,179,178,176,176,175,173,172,171,169,167,166,164,163,179,180,181,168,119,102,162,185,186,185,184,184,183,182,182,179,169,160,164,169,162,169,172,170,168,167,166,164,180,182,181,164,112,103,168,187,187,182,173,176,183,181,177,173,150,123,119,142,136,156,173,171,170,168,166,165,181,182,183,168,115,102,166,188,183,162,136,136,163,157,141,141,141,120,95,108,116,138,172,174,172,170,168,167,183,184,185,171,120,98,160,187,175,154,133,115,127,134,112,104,131,129,98,84,101,116,163,175,174,172,170,168,183,185,185,170,123,95,145,185,171,160,147,121,110,127,113,100,127,127,96,72,86,95,133,170,174,173,171,169,184,186,187,177,145,112,129,178,166,161,156,128,103,121,123,103,117,115,87,64,78,92,100,151,174,173,171,170,185,186,188,184,165,128,120,159,153,150,158,131,100,111,125,101,102,115,95,66,75,94,88,139,174,174,172,171,185,187,189,188,173,140,130,141,137,132,149,130,98,95,118,100,93,124,111,76,85,97,92,149,176,175,173,172,186,188,189,190,184,165,151,135,127,119,135,128,94,82,106,97,78,109,104,78,96,98,102,163,178,176,174,173,187,188,190,191,190,178,153,126,110,106,121,126,100,79,83,78,59,69,78,88,107,96,116,173,180,178,175,173,187,188,191,192,192,178,146,118,98,90,104,129,121,89,68,68,86,95,100,119,117,92,130,178,180,178,176,174,187,189,192,193,192,180,155,129,104,91,98,129,130,100,81,100,131,138,130,123,108,88,144,181,181,179,177,176,188,190,192,194,193,187,167,138,108,93,94,120,127,108,101,131,149,147,132,106,88,94,161,182,181,179,178,177,189,191,194,195,194,187,172,143,116,99,95,115,141,143,146,159,154,140,123,92,78,123,177,183,181,180,179,178,190,193,195,195,193,186,173,150,125,106,100,120,161,173,173,167,148,129,111,82,92,161,185,184,182,180,179,179,191,193,195,195,193,184,171,152,128,108,106,128,167,173,168,157,136,118,98,79,129,182,187,185,183,181,180,179,192,193,195,196,194,182,168,155,132,112,112,134,164,166,160,145,125,107,86,95,164,188,188,186,184,182,180,179,192,194,196,197,196,186,171,160,137,119,116,136,158,161,153,134,114,95,80,131,185,189,187,187,185,184,181,179,192,194,195,197,197,193,179,166,144,125,115,132,151,151,141,122,100,81,96,168,192,190,188,187,186,184,182,180,193,194,195,197,198,196,185,169,146,126,115,126,141,137,124,105,84,80,139,189,193,191,189,188,186,184,182,180,193,194,196,197,199,197,187,167,145,127,117,121,131,126,110,90,76,118,181,195,194,192,190,188,186,185,182,181,193,194,196,197,199,197,187,165,145,129,122,121,125,120,103,82,88,162,195,196,195,192,190,188,187,185,183,182
5,142,143,144,144,145,146,146,147,148,149,150,151,151,151,151,150,151,151,150,150,150,150,149,149,148,147,146,141,145,146,147,148,148,149,150,150,150,151,152,153,153,155,154,136,147,153,152,152,151,150,150,150,150,149,142,115,149,150,151,152,152,153,154,154,154,154,155,156,157,162,155,110,137,155,155,155,153,149,151,152,152,147,115,67,153,154,155,156,156,157,158,158,158,159,159,152,156,172,145,107,144,158,158,158,152,130,143,154,152,130,72,42,158,159,159,160,161,161,161,162,162,163,169,137,143,171,126,123,158,161,157,152,133,109,140,157,151,104,49,43,162,163,164,165,165,165,165,165,165,166,178,138,140,157,116,144,164,161,149,134,109,120,153,160,145,84,50,56,166,167,167,168,169,169,169,169,169,171,181,142,137,138,118,159,163,149,134,111,115,151,164,164,144,80,58,60,170,170,171,172,172,173,173,173,173,175,181,141,124,118,130,159,143,128,113,112,149,167,169,167,154,97,64,60,173,174,174,175,176,176,176,176,176,179,188,147,110,105,139,135,112,102,105,143,170,172,172,171,161,111,65,54,176,177,178,178,179,179,179,179,179,183,192,153,108,105,128,109,92,94,137,171,176,175,174,173,168,126,64,43,179,179,180,181,181,181,181,181,182,185,188,150,107,98,103,96,89,120,171,180,180,178,176,176,174,144,76,51,181,182,183,184,184,184,184,184,185,185,186,157,109,87,85,91,95,145,170,170,179,181,179,179,178,161,119,109,183,184,185,186,186,186,186,186,187,187,188,171,123,85,77,83,100,140,134,135,158,177,182,182,181,170,135,148,185,186,188,188,189,188,188,189,189,190,191,183,140,95,79,79,91,107,111,128,143,157,170,179,181,171,143,167,188,189,190,190,191,191,191,192,192,192,195,196,164,115,85,80,82,90,97,118,143,150,155,162,162,158,155,149,191,191,192,192,193,194,194,194,194,194,199,205,182,132,91,79,82,81,88,117,136,140,146,149,143,137,138,126,192,193,193,194,195,195,195,196,196,197,200,211,192,142,96,76,79,85,124,167,172,161,148,148,155,143,126,130,194,195,195,196,197,196,197,198,199,198,202,214,197,149,102,74,72,106,174,195,193,178,160,160,149,134,152,170,195,196,197,198,199,198,199,199,200,199,203,216,198,151,106,72,63,104,163,191,181,159,155,142,122,149,185,190,197,198,199,200,200,200,200,200,201,200,205,218,196,151,106,71,63,84,109,149,147,145,142,119,130,179,195,194,199,199,200,201,201,202,202,201,202,201,208,218,192,149,106,72,67,83,93,107,121,132,124,134,174,195,197,196,200,200,201,202,202,203,203,203,203,199,209,216,189,148,107,75,72,88,98,107,112,115,132,177,197,199,198,197,201,201,203,203,204,204,204,205,204,200,210,213,185,145,106,77,76,94,104,107,103,120,171,199,201,201,200,199,202,203,204,205,205,206,206,206,203,201,213,209,180,141,104,78,77,96,106,102,106,159,199,203,203,202,201,201,203,204,205,206,206,207,207,207,201,207,219,205,175,136,102,79,78,98,105,98,131,193,206,205,205,204,203,202,204,205,206,207,207,207,208,206,201,217,219,200,171,134,100,81,83,100,99,104,165,205,208,208,207,206,204,203,206,207,207,207,208,209,208,202,206,221,214,195,169,130,97,82,87,97,99,137,196,209,209,208,207,206,205,204,206,207,207,208,209,210,207,199,211,215,207,190,158,118,91,81,87,95,117,179,209,211,210,209,207,206,205,205
4,124,125,126,128,130,130,131,133,134,134,136,137,137,136,136,135,135,135,134,134,133,132,132,132,133,133,131,130,124,125,127,129,130,130,132,133,135,135,136,136,137,136,136,135,136,136,136,135,134,134,134,133,134,133,132,131,125,126,128,130,131,132,134,133,134,135,137,137,138,137,135,140,135,137,138,136,136,136,135,135,133,134,133,133,126,128,129,130,131,133,134,135,136,137,139,137,149,140,122,120,146,136,121,133,139,136,136,134,134,134,133,133,127,129,129,130,133,134,135,136,138,141,129,146,173,135,124,96,159,131,109,93,137,138,140,136,135,134,134,133,128,131,131,131,134,137,136,134,171,168,140,115,171,145,115,115,169,135,114,66,129,118,118,140,135,135,136,135,127,131,132,131,134,137,133,149,187,183,155,91,146,158,103,131,175,134,94,106,142,101,69,115,141,135,137,136,129,132,133,134,135,137,133,168,174,177,140,88,142,159,112,128,154,140,152,140,94,91,62,74,142,138,138,137,131,132,134,137,137,135,141,177,151,171,128,76,127,147,152,146,157,181,182,143,89,62,59,65,142,139,138,138,131,133,135,136,139,134,152,176,141,156,134,64,107,135,141,158,167,170,156,149,115,67,46,71,145,138,139,138,131,134,136,137,138,136,173,171,138,137,147,62,89,131,82,115,143,148,140,156,124,85,43,82,148,138,139,139,132,134,135,138,134,153,181,147,127,117,99,52,89,137,57,98,134,108,146,162,134,99,51,100,147,138,140,140,133,134,137,139,133,171,172,136,111,112,93,72,91,116,62,103,148,65,148,177,149,113,61,122,147,141,141,140,133,136,138,138,138,184,170,133,107,97,85,80,85,84,79,83,113,78,139,188,159,122,67,100,150,141,142,140,135,136,140,136,145,194,167,134,106,90,75,80,89,87,116,117,134,158,150,168,155,117,83,66,145,144,143,142,135,139,141,134,155,196,166,132,101,94,82,84,83,94,133,144,167,162,163,141,132,122,96,65,136,147,143,143,136,138,141,134,166,195,167,126,104,110,94,80,75,113,156,166,166,157,151,127,101,117,89,75,143,144,143,143,135,137,140,133,175,194,163,128,128,128,99,91,126,169,178,166,165,156,134,112,90,91,68,100,150,143,144,143,134,136,139,134,179,191,166,149,153,133,103,142,176,183,184,166,159,143,122,104,85,74,66,133,146,145,144,143,134,137,140,137,184,190,177,163,155,143,111,162,180,184,189,159,140,130,114,100,81,58,98,151,145,145,143,144,135,138,140,138,185,193,184,165,149,146,120,167,186,185,177,150,126,116,107,94,71,66,139,148,146,145,144,144,135,137,142,136,176,196,183,169,149,142,135,169,183,171,158,138,115,108,100,82,59,102,152,144,146,146,146,145,136,138,142,135,166,192,174,166,154,142,140,158,168,155,139,122,112,110,93,67,69,143,148,148,146,146,145,144,136,138,142,136,169,183,163,161,161,148,142,150,159,146,132,113,107,104,85,58,114,155,146,146,147,145,144,143,136,138,142,135,167,175,155,160,162,144,130,147,159,145,125,103,97,95,71,89,151,149,148,147,145,145,145,145,134,137,142,136,160,177,158,160,152,143,125,140,161,141,109,88,90,81,73,137,148,146,147,147,144,144,144,143,92,92,96,84,134,187,167,166,151,145,128,130,157,128,97,84,82,71,71,86,85,84,84,84,82,85,84,80,66,64,69,54,114,198,177,171,158,151,133,121,153,128,96,82,74,66,60,59,57,58,57,57,58,56,60,119
23,186,186,186,185,185,186,186,185,183,183,183,181,180,179,178,178,177,176,174,173,172,170,168,166,165,151,60,36,188,188,188,187,187,188,188,187,186,185,185,184,182,181,181,180,179,178,176,174,173,172,170,168,168,145,49,31,189,189,189,189,190,190,190,189,189,188,187,187,186,184,183,182,180,179,178,176,176,174,173,171,173,125,38,28,192,192,191,192,193,193,193,193,191,190,188,188,187,186,186,185,183,181,180,179,178,177,175,173,174,105,29,22,195,194,194,195,195,195,195,195,194,193,192,189,181,181,183,181,177,180,183,181,180,179,176,174,170,82,26,16,196,196,196,196,197,196,196,196,195,194,193,179,155,147,156,156,144,130,171,184,181,180,179,177,167,65,24,12,198,198,199,199,199,199,197,198,197,196,189,171,169,150,147,155,147,107,119,185,184,182,181,180,174,80,25,13,200,200,200,201,200,201,200,199,199,197,188,173,155,121,108,130,125,114,85,146,186,184,182,181,179,105,38,16,201,200,201,201,201,202,202,200,200,196,189,168,139,97,127,142,146,122,103,89,161,187,184,181,180,132,91,28,202,201,202,202,203,203,203,202,201,193,184,153,139,102,184,197,195,166,122,96,145,189,186,184,181,152,121,69,203,203,203,203,203,204,204,204,201,186,175,139,135,130,197,198,197,195,183,172,185,189,187,185,184,161,119,141,204,204,204,204,206,206,205,205,196,182,167,132,127,157,183,176,172,160,163,194,192,190,188,187,185,167,140,144,206,206,207,207,207,207,206,203,182,172,161,147,150,161,166,167,164,144,105,180,188,188,189,188,187,177,160,154,208,208,208,207,207,207,206,185,160,157,161,169,177,184,182,174,160,134,97,166,176,161,185,189,187,185,170,133,209,209,209,208,208,209,200,181,166,158,159,163,171,168,159,150,139,132,104,143,176,142,160,192,189,187,182,148,209,210,210,209,209,210,198,181,169,155,150,155,162,165,166,160,146,129,103,85,138,116,138,194,190,188,187,179,211,211,212,211,211,211,193,185,184,163,154,154,160,165,161,158,150,99,73,50,82,75,135,195,192,190,187,186,212,214,215,215,213,213,188,183,181,160,152,158,166,167,162,156,138,85,54,38,50,85,177,194,192,190,188,186,214,215,215,215,214,215,187,171,181,174,173,173,168,165,154,139,107,70,52,46,67,165,198,195,193,192,190,187,213,214,214,214,214,214,186,167,187,183,177,170,146,130,112,88,81,69,53,54,143,199,196,194,194,192,190,187,214,214,214,214,215,215,185,169,183,175,168,156,128,91,58,60,75,63,51,82,188,197,195,194,192,190,189,187,215,216,216,215,215,216,185,170,174,168,166,157,126,77,46,56,57,54,54,123,201,197,195,193,192,190,183,168,216,216,216,216,216,216,183,170,169,167,169,163,118,65,41,43,50,59,61,161,202,199,196,196,189,156,127,132,216,217,217,217,217,217,183,168,168,177,178,154,105,70,49,52,63,63,84,192,201,200,191,152,115,81,122,136,216,217,218,219,218,219,179,163,171,182,175,140,100,75,55,57,67,62,132,205,195,164,114,64,54,56,124,146,163,167,169,173,177,181,161,162,176,183,168,130,94,76,58,56,61,78,174,163,111,72,51,46,42,45,106,154,106,106,105,104,106,108,138,165,175,176,158,122,91,74,57,53,58,75,96,70,47,53,42,43,36,39,70,150,113,113,115,113,110,112,147,166,169,164,142,112,83,69,54,50,57,58,60,44,37,52,39,38,35,36,41,108
4,156,159,161,165,168,172,176,180,181,182,187,188,189,192,195,195,194,196,196,198,199,199,199,198,199,199,198,197,157,161,163,166,170,174,179,182,183,185,187,189,193,193,195,198,200,196,199,200,199,201,201,200,201,201,199,199,158,163,164,167,171,176,179,181,186,187,189,196,191,202,189,153,179,206,196,199,205,202,203,203,203,202,201,201,160,164,165,169,173,177,181,184,185,191,181,175,196,229,203,154,129,188,178,140,185,209,202,205,205,203,203,203,162,165,167,171,175,179,183,182,197,225,189,168,169,226,208,185,149,134,181,132,117,201,208,207,208,207,206,206,163,166,167,171,176,180,187,178,219,255,220,201,149,189,224,186,164,111,168,156,114,162,217,205,208,208,207,207,164,166,168,172,178,182,183,182,210,236,249,221,174,149,230,197,164,105,162,162,118,153,219,208,209,210,209,208,165,167,171,175,180,179,196,205,192,190,206,231,177,117,183,204,147,101,154,162,110,150,220,208,209,209,210,209,166,168,171,175,182,175,225,244,225,210,171,152,148,104,126,162,120,100,135,142,103,163,220,208,212,211,210,210,166,168,172,176,182,177,232,228,224,217,169,107,109,105,92,130,102,75,103,101,92,184,218,211,214,213,211,212,166,168,172,176,183,182,222,165,160,178,138,100,92,119,78,115,122,139,167,111,84,202,216,211,214,213,213,213,169,170,172,177,183,185,216,146,95,139,146,106,90,111,113,135,184,219,199,139,100,168,222,216,213,216,215,214,170,172,173,178,184,184,215,168,138,120,154,121,120,162,172,183,207,215,173,133,124,110,150,209,220,215,216,216,170,172,174,179,185,183,214,186,160,124,117,101,122,190,163,177,187,173,141,128,132,128,114,121,184,222,215,217,170,174,176,181,186,184,211,200,150,116,102,90,83,134,135,138,134,128,116,125,130,131,130,117,108,208,220,216,172,174,177,182,188,184,209,210,162,139,122,108,89,79,104,122,128,118,104,111,128,139,130,125,112,190,224,216,173,174,177,182,188,185,206,223,190,146,127,112,101,95,117,164,169,165,158,137,133,152,132,122,127,206,222,217,172,175,177,183,188,188,203,222,190,158,150,127,113,104,141,196,211,212,203,178,155,146,132,121,159,223,219,220,172,175,178,184,188,189,201,226,193,182,167,134,119,112,150,216,222,215,199,171,151,131,124,127,201,225,220,221,174,175,179,184,188,190,198,220,197,192,168,128,122,120,150,217,210,200,188,166,142,129,121,148,225,221,222,221,175,175,180,184,188,193,196,215,198,184,159,124,127,127,151,204,192,185,179,158,134,129,125,182,230,222,222,223,175,175,179,184,190,195,196,213,200,181,153,127,137,135,166,194,183,180,167,144,129,129,137,212,226,222,224,225,174,176,181,186,190,194,197,207,206,179,148,143,159,145,168,183,176,170,146,131,128,127,171,228,223,224,226,224,175,175,180,186,191,194,199,203,203,178,159,163,163,148,146,161,156,147,130,125,126,140,212,226,225,225,226,224,175,176,181,187,191,195,200,202,207,188,168,164,153,138,126,132,131,126,124,132,126,174,231,226,227,227,226,225,175,176,181,186,191,195,200,201,207,204,166,147,138,127,124,126,126,126,128,133,115,184,234,226,227,226,225,226,176,177,183,187,192,196,200,204,205,209,169,132,121,120,122,130,128,127,128,129,105,163,236,225,226,228,228,228,176,178,183,187,192,196,200,205,204,204,183,141,131,134,135,136,132,125,126,124,109,146,233,225,226,228,229,229
1,171,174,177,178,181,183,184,185,185,186,187,187,188,187,188,188,188,188,188,187,188,188,188,188,187,186,185,185,174,177,180,181,183,185,186,187,187,188,189,190,189,190,190,190,191,191,191,190,190,191,191,191,190,189,188,188,176,180,182,184,186,187,189,190,190,191,191,192,192,191,195,194,192,195,194,193,193,194,194,194,193,192,191,191,178,181,185,186,189,190,192,192,193,194,194,194,195,198,179,185,197,195,195,195,196,195,196,195,194,195,193,192,181,184,186,189,192,193,194,194,195,196,195,198,190,204,172,149,210,199,195,196,197,197,198,197,196,195,195,194,183,186,189,192,193,196,197,196,196,197,195,211,184,173,182,131,173,184,201,198,200,200,200,199,198,197,196,196,185,189,192,194,195,197,198,199,198,200,198,215,184,168,193,126,161,141,203,201,202,202,202,202,201,200,199,198,188,191,193,196,198,200,201,202,201,202,197,217,192,164,207,142,170,141,186,207,203,203,204,204,203,202,201,200,191,193,195,198,199,201,203,203,203,208,186,181,210,154,206,152,168,157,166,212,204,206,205,204,204,203,203,201,192,196,198,200,202,202,203,206,204,214,184,155,215,150,195,165,179,193,151,209,207,208,208,207,206,205,205,203,194,196,198,201,202,204,205,207,205,218,188,160,213,154,197,182,164,206,151,195,213,208,209,209,208,207,206,205,194,197,199,202,204,205,207,208,206,223,189,166,229,168,189,195,151,209,166,174,218,210,210,209,209,209,208,207,196,200,202,203,205,207,208,210,208,220,188,159,224,155,158,196,138,213,185,158,218,211,212,212,211,211,209,208,197,201,203,204,207,208,209,212,209,221,201,145,199,164,158,187,158,196,180,151,209,215,214,213,212,212,211,210,198,201,204,205,207,209,211,212,211,225,192,144,177,215,179,178,207,180,160,143,193,220,213,214,214,213,213,212,198,201,205,206,208,211,212,212,213,220,197,194,161,188,192,213,207,171,160,144,160,224,213,215,216,214,214,214,199,202,206,208,210,211,213,212,216,218,199,194,159,173,221,220,203,211,176,143,133,217,217,216,217,215,215,215,199,203,206,209,211,212,213,212,218,225,188,172,179,202,198,173,170,234,221,184,127,200,222,217,219,218,218,216,199,202,206,209,210,213,213,213,219,236,191,167,167,160,151,156,193,219,218,191,151,178,227,217,219,218,218,217,200,202,205,208,209,211,212,213,216,242,208,163,174,173,193,221,231,211,202,175,135,166,228,217,219,218,218,219,201,202,205,208,210,211,213,213,215,238,228,171,189,182,218,235,231,217,194,169,119,166,229,217,219,218,218,219,201,203,206,208,210,213,213,214,215,236,239,185,199,185,211,239,238,218,184,159,118,173,229,218,219,219,218,218,200,203,206,207,209,212,213,215,214,229,238,203,212,194,197,243,237,208,178,149,118,195,227,219,220,219,219,218,203,206,209,210,211,214,215,216,214,220,235,221,212,203,184,238,231,201,173,140,120,210,224,221,220,220,220,219,189,193,197,202,205,209,211,212,215,213,231,235,215,199,174,221,224,192,163,133,133,227,228,229,225,220,220,221,130,132,134,137,142,142,145,147,151,148,216,229,205,192,172,197,209,180,152,133,141,196,192,192,208,227,223,218,132,132,131,131,132,132,132,132,134,124,197,220,199,189,169,182,200,177,146,134,130,126,147,189,213,211,219,217,132,135,141,139,139,137,135,136,138,130,195,220,202,184,174,181,198,171,133,129,148,194,229,231,210,188,188,215
21,153,163,170,172,176,183,189,194,197,201,202,205,207,209,208,209,210,208,207,207,208,206,206,205,203,202,201,200,155,165,172,174,179,185,191,195,199,204,205,207,208,210,213,211,211,210,210,209,209,208,209,205,203,202,202,201,158,168,174,177,181,189,193,197,202,206,208,210,210,210,212,216,213,213,214,213,211,211,209,208,206,204,203,202,158,169,175,178,181,190,195,200,204,207,210,212,210,233,191,176,222,214,216,215,214,213,212,211,208,207,206,204,159,171,177,178,184,191,197,202,204,208,212,213,212,250,203,134,212,220,217,217,216,216,215,212,215,210,208,206,162,173,179,179,186,194,199,202,208,211,213,216,212,242,227,143,189,227,217,218,219,217,221,204,167,210,211,209,163,174,179,181,188,195,201,205,210,213,216,219,217,233,255,182,171,230,220,220,220,218,228,199,122,194,217,210,166,176,181,184,190,198,204,208,211,215,218,221,220,229,255,207,152,226,224,224,221,223,225,191,129,201,218,213,168,177,183,186,193,200,206,209,212,217,219,223,223,227,255,214,146,208,230,226,222,235,230,172,135,222,217,216,169,179,184,187,195,202,207,211,216,219,221,225,227,225,255,229,156,188,236,226,225,242,225,156,156,230,218,217,170,179,185,188,196,203,209,214,217,220,222,226,229,223,255,250,173,179,238,225,234,234,196,132,189,230,220,219,171,181,186,189,197,204,210,214,218,222,225,227,229,226,251,250,169,173,240,230,248,235,182,120,216,227,221,220,173,184,188,191,199,206,212,217,220,224,226,229,232,232,249,247,151,152,239,233,247,227,159,150,235,223,224,223,174,185,189,193,201,208,214,218,221,226,227,230,233,195,193,254,159,175,215,228,222,192,122,191,238,224,226,225,174,186,193,195,202,210,216,220,223,227,228,240,248,184,149,203,175,171,208,222,217,152,122,230,230,229,227,227,175,186,194,196,204,212,218,222,225,228,230,223,245,192,179,155,177,170,156,200,204,125,179,244,230,231,229,228,177,188,193,196,206,213,219,223,227,231,251,190,186,202,203,195,208,177,96,135,168,107,198,242,233,233,232,229,177,190,194,198,207,214,220,225,225,249,255,228,152,190,202,191,191,161,131,99,106,101,209,242,233,234,234,231,179,191,195,199,207,214,221,226,227,249,255,239,159,153,190,128,152,175,158,127,93,92,222,242,235,236,234,233,180,191,196,201,208,216,223,228,228,255,255,223,176,135,197,174,111,186,182,147,119,80,189,251,236,237,235,234,180,192,198,202,210,218,225,229,231,255,245,228,180,105,189,255,138,170,219,159,136,95,143,255,237,239,237,235,182,195,196,202,211,219,225,232,230,255,255,245,166,149,143,193,132,202,207,165,140,103,136,255,238,241,238,236,184,194,197,202,212,220,226,233,231,255,255,255,192,211,122,155,228,207,192,146,136,93,152,255,239,242,240,238,183,195,199,204,213,220,227,233,233,250,255,244,210,184,146,214,243,182,183,174,126,86,171,255,240,242,241,240,184,196,199,204,215,223,227,235,236,246,255,240,236,188,198,255,221,197,185,183,140,79,204,255,243,243,242,242,183,194,197,204,213,220,227,234,237,240,255,243,237,199,210,254,218,199,170,159,120,92,240,249,244,243,243,243,183,193,196,203,213,221,227,232,236,242,255,244,231,209,173,215,192,165,142,128,83,137,255,244,245,242,243,241,186,194,198,205,214,221,228,231,244,211,208,255,226,197,159,163,166,153,129,110,81,210,255,246,245,243,243,241
8,191,194,196,198,200,198,201,202,201,201,201,202,202,201,200,200,198,198,197,196,195,194,194,193,192,192,191,189,193,195,198,194,184,203,202,202,202,201,202,203,203,202,201,201,200,199,198,197,197,196,196,195,194,193,192,190,195,194,205,194,140,195,206,204,202,203,203,204,204,203,203,202,201,200,201,200,198,198,198,196,196,194,193,192,196,196,208,206,131,173,211,205,206,205,204,205,204,204,204,203,202,201,201,201,199,199,199,196,196,195,194,194,196,198,204,219,135,159,215,205,208,206,205,205,206,205,205,203,202,203,203,201,201,199,199,198,198,197,196,196,197,201,203,212,140,147,217,207,210,210,211,206,208,210,208,205,204,205,204,202,202,200,202,200,199,199,197,196,199,203,203,218,174,136,212,211,208,196,196,212,205,188,198,212,210,207,204,205,203,202,202,202,201,201,199,197,201,203,201,220,190,124,199,213,224,203,159,190,221,167,143,199,194,205,209,204,206,205,203,204,203,201,199,198,202,205,204,216,197,142,169,218,237,234,184,139,216,186,181,144,144,145,204,210,206,207,204,205,204,202,200,198,204,206,206,215,221,174,156,208,231,240,209,132,177,191,197,181,167,151,163,205,208,207,207,207,205,203,201,201,206,207,207,210,225,171,167,198,202,230,212,142,144,183,162,207,209,212,179,136,205,208,206,207,206,204,201,201,206,208,210,211,222,206,185,211,199,203,215,142,121,164,116,181,198,211,188,122,193,213,206,207,207,206,204,202,207,209,212,211,232,229,177,178,197,178,214,173,118,142,116,146,195,216,191,123,192,214,207,208,208,208,206,203,208,210,213,211,230,207,159,159,168,152,195,212,137,120,108,156,215,227,195,123,193,216,208,210,209,209,208,205,209,212,214,211,229,228,186,158,150,144,160,173,142,128,103,168,220,227,193,123,194,217,210,211,211,210,209,206,209,212,215,211,233,234,200,166,146,146,142,187,186,144,163,202,215,218,176,115,183,220,211,212,211,211,209,206,210,213,215,213,237,232,205,181,149,132,156,206,205,208,217,208,193,185,152,109,173,223,212,212,212,212,210,207,209,212,216,215,241,232,210,193,169,135,151,199,230,235,225,202,173,151,133,109,201,219,214,213,212,212,210,208,210,214,216,216,241,233,213,196,181,150,149,209,241,235,220,194,158,133,105,147,225,214,215,214,213,212,209,209,213,214,218,217,237,237,220,203,191,161,161,222,237,225,198,176,143,114,108,209,219,216,216,215,215,214,211,210,213,215,220,218,232,239,224,208,200,170,165,227,225,203,177,154,131,96,165,228,216,217,217,215,216,215,213,211,213,215,218,219,228,240,229,212,197,168,169,216,212,192,169,141,114,114,218,219,219,218,216,215,215,215,213,211,212,214,217,217,229,243,227,207,184,154,174,202,185,178,163,135,95,177,227,216,218,218,216,214,214,214,213,211,214,216,220,214,232,240,218,199,172,162,178,189,167,160,157,108,127,225,218,219,219,218,216,215,215,213,211,210,213,216,220,212,243,236,219,202,182,177,182,177,160,153,133,108,205,224,219,219,219,218,217,216,213,212,218,216,213,216,215,222,245,231,220,205,184,187,179,158,152,139,104,174,228,219,220,219,218,218,216,219,222,219,184,133,214,218,209,230,237,213,206,195,182,183,169,143,142,114,133,224,221,222,220,220,222,224,222,203,168,123,83,69,214,217,206,236,232,200,182,174,172,183,164,127,137,100,188,228,221,222,220,212,197,182,147,101,69,57,63,67
17,108,111,113,115,117,117,119,120,121,121,122,123,124,126,127,128,128,129,129,129,130,131,131,131,132,133,132,133,110,111,114,116,117,117,119,121,122,122,124,125,126,127,129,129,131,132,131,131,132,132,132,132,133,133,134,133,110,112,114,116,118,118,119,121,124,124,125,126,126,128,129,130,132,133,135,135,133,137,133,133,134,134,135,134,110,112,114,118,120,120,121,122,124,125,125,129,130,130,131,132,133,126,104,120,93,111,140,135,136,135,135,135,112,113,115,118,120,121,123,124,126,127,128,129,130,132,132,134,136,137,98,65,61,83,144,135,136,136,136,136,112,114,117,119,120,123,124,125,127,129,130,130,131,132,134,134,134,153,118,65,37,94,144,135,138,138,137,136,113,115,118,120,121,123,125,125,127,129,129,131,131,132,134,135,133,153,128,84,31,104,146,137,138,138,137,137,113,116,117,120,122,124,126,126,127,129,131,132,134,137,134,137,133,154,141,98,47,125,143,138,138,138,137,137,115,118,119,121,122,125,126,128,129,129,130,134,122,114,141,137,134,157,140,100,66,138,141,140,139,140,140,138,116,118,119,122,124,126,127,129,131,132,131,136,126,84,99,142,142,160,134,98,69,139,142,140,140,141,141,139,116,119,121,122,124,125,128,128,128,128,129,144,131,110,85,106,127,153,136,99,67,138,143,142,142,141,142,140,117,120,120,122,125,127,126,133,142,114,84,121,146,141,142,104,59,100,126,102,69,136,144,143,143,143,141,141,117,119,121,125,126,128,125,144,151,114,76,118,126,149,151,130,77,55,99,92,65,131,146,142,143,143,141,142,117,120,123,126,127,127,130,143,118,134,107,104,89,90,158,146,106,53,67,77,57,129,148,144,144,142,142,142,118,120,123,125,127,127,131,151,105,93,91,54,47,35,150,160,127,68,50,60,50,126,148,144,145,143,143,143,119,121,123,125,129,128,139,139,99,81,89,64,60,57,130,174,138,89,49,59,47,118,150,143,145,144,145,144,119,121,124,127,129,126,143,145,125,109,100,78,89,91,111,181,139,104,58,55,50,111,152,143,145,146,146,145,118,121,124,127,130,127,153,138,108,102,95,86,107,112,142,160,139,113,67,49,44,112,153,145,146,146,146,145,119,121,124,127,130,133,154,122,103,95,92,103,104,150,177,141,125,111,66,44,36,111,153,145,148,146,145,146,120,122,125,129,129,137,159,127,111,97,96,105,125,177,166,144,117,101,64,42,36,119,152,144,147,146,146,146,119,123,127,130,128,142,162,131,117,98,99,107,154,173,155,139,110,94,60,43,42,137,148,145,147,147,146,146,120,124,127,130,126,147,164,134,125,106,97,126,172,167,152,132,100,89,58,38,65,152,145,146,147,147,147,145,121,124,129,131,125,154,165,137,131,123,101,136,175,157,148,134,96,78,57,32,104,155,146,147,147,146,146,145,122,126,129,132,126,154,171,141,139,135,112,135,167,147,141,130,98,68,51,45,140,150,147,148,147,147,147,146,123,127,128,131,127,148,173,148,143,137,124,125,159,143,141,122,94,66,40,80,157,145,148,147,146,147,147,147,122,126,128,132,129,139,171,154,141,131,130,125,145,138,141,129,90,64,36,98,158,145,147,147,147,147,148,147,123,126,127,130,133,135,167,151,138,127,125,130,139,129,141,132,90,62,39,119,156,147,148,148,148,148,148,147,123,126,128,130,132,136,166,144,138,126,122,127,137,126,140,124,84,59,55,145,151,148,148,149,148,148,148,148
13,163,164,167,171,173,177,179,181,184,185,186,188,189,189,190,190,189,191,192,192,192,192,191,192,192,193,193,193,164,166,170,172,175,178,180,183,185,186,188,190,190,190,191,190,190,187,182,189,193,194,193,193,194,194,195,195,166,168,171,174,176,179,182,184,187,187,189,192,191,191,194,194,195,171,132,140,195,195,196,195,194,194,196,196,167,170,173,176,178,181,183,185,188,188,190,192,191,191,190,198,207,171,122,97,188,188,193,196,196,196,197,197,169,171,174,177,180,183,186,188,189,189,192,193,196,173,149,164,201,167,119,84,137,132,132,171,200,199,199,199,170,172,175,179,182,184,187,189,191,192,194,200,216,172,133,125,190,159,117,70,126,136,96,105,196,200,201,199,171,173,176,180,183,186,188,190,193,193,192,189,202,188,149,126,182,152,104,90,169,152,95,81,180,203,201,201,172,174,178,181,185,187,190,192,192,194,190,146,123,155,156,119,180,169,99,125,184,146,97,81,182,204,203,204,173,176,180,182,185,188,191,193,195,205,191,148,112,109,149,112,187,177,107,143,181,140,93,85,191,205,205,205,174,177,181,185,188,190,192,194,203,193,192,163,124,94,137,114,121,127,84,144,199,150,85,95,200,207,207,207,175,179,183,186,188,191,193,197,200,167,183,165,122,84,118,123,58,33,70,151,181,130,68,115,207,207,208,208,175,179,183,186,188,191,194,202,200,167,160,160,121,78,100,120,72,21,84,161,150,104,76,150,211,208,208,208,177,179,182,186,190,193,196,207,196,164,143,164,117,81,88,112,82,65,131,167,162,147,117,121,205,210,209,209,178,180,183,187,190,193,196,211,198,167,135,157,114,81,82,128,104,126,191,173,151,134,112,90,177,213,210,210,179,180,183,187,191,193,197,212,196,166,133,143,119,94,85,154,136,170,195,179,150,118,98,87,181,215,211,210,179,181,185,188,192,195,199,212,198,176,152,130,120,107,74,155,178,202,193,169,142,109,90,96,199,213,213,212,180,183,186,189,192,195,201,213,200,180,163,140,111,99,110,191,205,209,188,160,132,102,86,113,210,215,216,215,180,183,186,188,191,194,200,210,199,182,168,158,131,123,137,197,208,202,174,144,118,95,85,153,215,215,215,214,179,182,185,189,192,195,197,204,199,187,174,166,142,125,128,190,208,190,157,129,107,89,104,199,214,214,214,214,179,182,186,189,193,195,197,199,197,189,175,169,149,129,133,183,201,176,146,118,98,82,142,213,213,213,213,214,180,183,186,190,193,195,197,199,199,192,176,168,151,131,136,170,183,157,133,109,92,86,178,213,214,214,214,214,182,184,187,191,193,194,197,199,201,191,173,163,145,126,136,163,156,139,119,99,87,117,206,213,214,214,215,215,182,184,186,190,193,195,197,199,201,182,165,152,130,119,141,152,135,127,107,92,89,171,214,214,215,215,215,216,182,184,188,190,194,197,195,199,200,175,162,143,127,129,146,146,130,119,102,88,134,207,214,214,215,215,216,216,182,185,188,191,195,198,193,207,202,178,167,144,132,143,153,135,124,102,91,100,188,215,214,214,215,216,216,216,145,150,156,162,166,167,178,208,204,183,177,147,139,151,145,122,110,91,79,142,208,211,212,213,215,216,216,216,98,101,102,103,104,102,147,201,191,180,176,149,142,149,138,111,95,83,79,118,141,145,149,151,156,162,166,174,103,105,104,103,103,97,152,199,180,168,162,143,136,147,134,100,89,78,82,100,104,104,105,114,131,144,147,159
10,135,138,140,142,142,144,146,146,148,148,149,149,150,153,156,156,154,154,155,155,155,156,156,155,153,154,155,155,139,141,143,146,147,148,149,150,150,151,152,153,154,156,156,153,156,157,157,157,158,157,158,157,156,156,156,156,143,145,148,149,152,153,153,154,155,156,156,157,158,157,179,132,134,163,159,161,161,161,161,160,159,157,158,157,147,150,154,153,155,157,157,159,159,159,161,161,161,160,190,132,115,170,162,163,163,164,164,163,162,161,160,160,152,154,157,158,160,161,160,163,162,162,165,165,164,165,194,140,108,170,165,167,168,167,165,164,165,164,163,163,156,157,161,163,164,164,165,166,169,167,167,168,167,168,197,151,110,172,170,169,169,169,168,168,168,167,165,164,159,161,165,168,167,167,168,173,165,173,175,175,173,172,201,162,113,172,175,174,172,173,172,170,170,169,168,167,163,164,168,170,170,170,172,183,130,108,163,157,171,177,203,172,111,168,179,178,177,177,176,175,172,172,172,171,166,168,171,173,175,175,178,162,99,61,88,95,125,186,201,177,108,164,184,180,181,180,179,177,176,176,176,173,169,172,174,176,178,177,180,181,115,68,84,82,91,188,213,185,108,166,188,182,184,184,182,181,179,179,178,176,170,174,177,179,180,181,181,188,169,109,146,103,77,175,189,168,106,170,190,186,186,187,186,185,184,182,181,180,174,177,181,183,182,182,187,199,168,96,188,154,94,119,112,126,100,171,194,190,190,190,189,188,187,185,184,183,177,180,183,184,187,183,183,210,176,68,152,181,122,74,77,99,92,174,196,192,193,192,192,190,189,188,186,185,179,182,186,186,196,206,191,208,187,91,88,196,154,96,80,104,86,173,198,193,196,195,194,193,192,190,190,189,182,185,187,188,193,216,188,195,192,130,55,169,188,126,86,98,83,177,202,196,197,197,196,195,195,194,192,191,183,187,190,191,190,182,163,148,225,179,68,102,200,154,102,83,83,171,205,197,198,198,198,198,197,197,194,192,186,189,191,193,195,185,160,128,190,145,59,82,170,169,133,86,77,175,208,201,201,201,200,200,199,197,196,195,189,191,193,193,197,201,158,148,135,68,78,126,155,168,136,87,72,180,210,203,203,203,204,202,200,198,197,198,190,192,195,197,198,210,189,151,129,100,165,207,174,147,126,89,78,188,209,205,204,204,204,203,201,200,200,200,192,195,196,199,199,218,192,171,170,157,216,217,180,134,116,89,97,207,205,206,207,205,205,203,203,203,202,201,195,197,197,199,201,213,204,191,183,171,222,205,171,134,109,86,116,216,206,207,207,206,206,205,204,204,204,202,195,197,198,201,202,210,205,184,182,177,215,191,160,129,106,82,123,219,208,209,209,209,207,206,205,205,205,204,197,199,201,204,203,205,207,196,197,172,197,184,151,123,100,80,129,221,208,211,211,210,210,209,209,206,205,204,197,200,201,203,204,202,200,201,196,166,193,183,144,116,99,82,140,221,210,212,212,212,210,209,209,208,206,206,198,202,202,203,206,205,201,197,182,154,180,177,143,119,103,84,168,220,211,212,212,211,211,211,210,209,209,208,199,201,202,203,205,204,210,189,162,156,177,156,154,138,100,97,205,217,215,215,215,212,213,213,212,211,210,210,199,201,202,205,206,202,216,202,184,176,172,162,169,148,87,134,222,215,217,216,217,217,215,215,214,213,212,210,197,199,202,204,204,194,214,209,195,182,163,166,161,133,81,182,222,215,216,217,216,215,216,216,215,214,212,211
21,140,144,148,152,154,156,158,160,161,163,163,164,165,165,166,163,163,163,162,161,162,160,159,159,158,155,155,154,140,144,149,153,155,158,160,161,162,163,165,166,167,168,166,166,168,165,164,163,162,161,160,160,159,157,156,156,142,146,149,153,156,159,161,161,163,165,167,169,170,167,175,137,136,173,166,166,165,163,162,161,160,160,159,157,143,147,151,154,157,160,162,162,165,168,170,170,170,170,192,118,92,176,167,167,166,165,163,162,162,161,160,158,143,148,153,156,159,162,165,165,167,170,172,171,169,173,188,118,104,176,168,169,168,165,166,167,164,162,162,162,145,149,153,158,160,162,165,168,169,170,172,173,169,181,186,114,108,178,169,170,168,141,113,166,166,165,164,163,147,152,155,159,162,164,167,169,170,171,172,174,172,186,186,115,115,180,170,170,165,126,84,163,168,166,165,164,148,153,156,160,164,167,169,170,171,172,174,176,174,188,182,117,118,181,171,170,161,117,100,174,168,168,167,164,147,151,156,160,163,166,169,170,173,175,176,177,174,191,178,115,113,184,172,169,155,102,124,179,169,170,168,165,148,153,158,162,164,168,170,171,174,176,177,178,175,196,178,114,109,184,174,167,150,96,153,177,171,170,169,168,150,154,160,165,167,169,171,173,175,177,178,180,176,205,179,106,122,187,167,161,129,100,176,174,172,171,171,169,152,156,161,164,167,170,172,174,177,177,177,176,183,202,161,95,136,185,162,161,100,119,183,174,173,172,172,171,152,157,161,163,167,171,173,175,176,184,161,129,153,179,128,81,140,182,171,148,88,157,182,175,173,173,172,172,152,159,162,165,169,171,174,177,176,186,159,110,100,95,91,74,149,178,171,120,101,182,178,177,176,175,174,172,152,158,162,166,170,172,175,177,183,180,173,154,133,89,69,93,134,151,147,92,136,189,177,178,178,176,175,174,155,160,163,167,171,174,178,176,196,200,190,204,169,121,70,85,100,115,110,85,169,185,179,180,179,178,177,176,155,160,164,169,171,175,176,187,180,178,186,200,158,104,79,74,86,94,85,107,189,182,182,182,180,180,178,177,156,161,165,170,173,176,175,195,152,141,173,147,152,114,88,76,72,85,74,139,195,182,183,182,181,181,178,178,156,160,166,170,174,178,177,199,178,146,118,89,160,140,98,81,71,77,75,160,193,184,184,184,183,181,180,180,156,161,167,171,175,177,181,199,165,120,97,75,137,158,116,89,79,76,69,160,194,185,185,185,184,183,180,180,157,162,167,172,176,176,186,201,156,139,137,103,164,176,133,114,85,80,70,158,196,184,185,186,185,185,182,180,157,162,168,173,177,175,194,203,167,160,125,146,221,178,138,128,93,84,76,165,196,187,187,187,185,185,184,183,157,163,168,174,177,176,195,205,187,149,132,205,210,164,131,125,99,87,81,170,196,189,188,187,187,185,185,184,159,164,169,174,178,177,194,218,188,143,152,212,193,160,127,115,103,88,91,182,196,190,190,189,188,186,185,185,157,163,169,173,178,176,194,209,162,158,155,210,189,165,146,105,96,88,103,192,192,190,190,190,188,187,186,186,155,162,168,171,174,175,190,189,160,182,146,207,190,156,144,111,93,87,119,196,190,190,190,189,186,185,185,184,156,162,168,172,175,177,185,180,194,189,151,203,175,143,124,105,96,86,132,198,190,192,190,189,188,186,186,184,156,162,169,173,176,179,181,184,197,175,145,188,162,131,106,95,94,83,148,199,191,193,191,189,188,186,187,185
7,139,142,144,146,149,150,153,153,156,158,159,160,162,163,163,164,165,165,166,167,167,166,167,167,167,167,165,165,139,143,145,147,149,152,153,155,157,159,160,161,163,163,164,165,165,166,167,167,167,168,167,168,168,168,167,167,142,144,146,148,151,152,154,155,158,159,160,162,163,164,164,165,166,167,168,168,168,168,168,168,168,168,167,167,143,145,147,150,153,154,156,158,159,160,163,162,163,166,166,165,166,167,168,169,169,169,169,169,169,169,169,167,144,146,149,152,153,156,158,160,160,161,164,165,165,166,166,167,168,168,169,170,170,170,170,170,170,170,170,167,145,147,150,153,155,157,159,161,163,165,167,168,167,167,169,169,170,170,170,170,171,171,171,170,171,172,171,169,145,147,150,153,155,158,159,162,164,166,168,168,168,170,171,166,161,162,167,166,163,157,155,175,147,166,174,170,146,149,151,154,156,159,161,163,165,166,168,169,169,166,157,149,145,134,137,143,146,139,134,150,116,157,168,165,150,151,152,155,158,160,160,163,163,161,163,165,169,161,153,152,147,127,133,133,139,135,131,128,120,144,150,128,150,152,154,157,159,161,163,167,146,140,149,157,162,154,148,142,129,126,121,113,117,119,113,111,109,109,111,138,150,152,155,158,159,161,176,165,133,136,141,136,125,115,114,114,106,100,102,113,114,114,118,124,131,142,156,175,151,152,156,159,159,177,182,164,149,131,122,107,93,81,90,113,118,143,170,176,176,175,177,180,180,181,179,178,151,155,157,158,175,188,177,176,164,123,112,114,118,117,111,121,145,179,182,180,181,181,181,179,179,178,180,179,153,155,156,170,188,180,177,172,152,127,118,109,113,118,112,96,84,114,183,181,182,182,182,180,181,180,180,181,153,154,166,183,182,177,170,156,143,132,120,94,87,104,110,105,97,90,179,183,182,183,183,182,182,181,182,182,150,162,183,183,171,161,156,148,141,133,119,95,80,81,84,86,91,95,183,185,184,184,184,183,183,182,183,182,160,182,181,174,165,155,152,150,148,142,125,101,94,97,82,64,67,95,187,186,184,184,184,184,183,183,183,182,181,177,168,167,163,155,153,147,144,139,128,111,104,101,95,87,79,85,165,189,185,185,186,186,185,185,184,182,174,170,166,162,155,152,145,139,142,137,120,104,98,95,98,94,87,57,71,160,190,186,187,187,187,187,185,183,170,167,159,158,154,150,137,138,142,125,103,87,72,60,81,90,88,62,70,136,193,187,187,187,187,187,185,185,166,163,155,152,144,140,146,140,121,103,88,63,53,50,48,82,88,76,119,180,189,188,188,188,188,188,187,187,164,159,151,140,144,146,141,123,104,92,77,62,65,62,60,79,89,159,191,191,189,188,188,188,188,189,188,189,152,148,137,141,144,136,120,105,94,81,84,102,116,123,83,100,165,192,189,190,190,190,190,189,189,189,189,188,130,130,127,127,122,112,102,91,82,100,160,185,190,193,170,175,193,190,191,192,192,191,191,190,189,189,188,188,115,108,103,102,100,92,88,96,134,177,187,186,187,188,191,192,191,192,192,192,192,192,192,190,189,189,189,189,110,94,87,82,74,90,144,173,185,183,184,187,188,189,189,192,192,193,193,193,193,193,192,190,191,190,190,190,108,89,74,71,122,164,183,181,183,183,186,189,189,190,191,192,193,194,193,193,193,194,194,193,193,191,190,191,110,90,73,78,173,179,179,181,184,184,187,190,190,191,193,193,194,195,195,194,194,194,194,194,194,193,192,192
21,142,145,149,155,160,164,167,170,173,174,177,178,179,179,179,179,180,178,177,177,176,175,174,172,171,171,168,166,144,146,151,157,163,166,169,172,173,176,180,180,180,181,179,181,178,179,182,178,177,177,176,174,173,173,171,169,146,148,153,159,164,168,171,173,176,179,180,182,182,182,184,181,194,171,158,184,179,178,179,177,174,174,173,170,147,150,155,161,165,169,172,175,178,180,182,184,184,185,186,179,215,176,123,188,179,180,179,178,178,176,174,173,149,151,157,163,168,171,175,178,179,181,184,185,186,186,187,180,218,173,119,185,181,181,180,180,173,176,176,175,150,153,158,164,169,172,174,178,180,182,185,187,188,186,187,182,225,173,118,184,183,183,181,204,145,154,182,176,152,155,160,166,171,174,177,179,181,184,186,187,187,187,188,185,232,180,125,183,186,183,189,210,123,154,183,177,153,156,162,169,173,176,180,180,183,186,188,189,188,189,191,186,237,181,132,184,189,181,204,196,118,167,183,179,153,155,163,169,172,177,179,182,186,188,189,191,191,191,190,189,238,174,135,184,190,184,218,178,123,176,182,179,155,157,164,170,174,178,182,185,186,189,190,192,192,191,188,199,248,179,137,182,190,192,231,169,133,186,183,181,156,159,166,171,176,180,183,187,187,190,192,194,190,209,203,183,236,197,143,185,187,210,229,155,145,191,184,183,157,160,166,173,177,182,185,187,190,192,193,192,197,254,222,167,148,184,146,188,190,234,214,137,157,193,185,184,158,161,169,175,178,184,187,188,191,192,199,224,188,219,243,183,113,129,149,189,208,238,190,126,174,192,186,186,158,162,170,177,183,186,190,192,194,189,227,255,200,157,231,182,112,104,146,193,218,219,164,135,192,188,187,187,160,164,171,178,183,187,190,193,196,194,243,255,231,144,184,192,118,95,121,167,194,198,142,158,197,189,188,188,161,166,172,179,185,188,192,195,196,203,241,228,239,138,154,224,164,107,97,128,156,160,132,188,195,191,190,188,162,167,175,181,186,189,193,197,196,211,250,217,225,172,128,226,212,145,95,114,144,126,140,202,194,193,192,190,162,167,177,182,186,191,194,199,195,231,255,214,197,191,117,182,220,182,120,92,124,111,149,204,195,195,194,192,163,168,176,183,188,192,195,201,196,244,244,191,165,148,133,143,212,213,167,102,101,104,164,205,197,196,195,194,165,169,177,185,190,193,197,202,198,249,245,190,157,158,167,170,208,237,202,141,98,104,187,204,199,198,197,196,165,171,178,185,191,195,199,203,201,253,245,189,155,174,181,227,231,237,225,175,115,116,204,202,201,202,199,196,164,170,179,186,191,195,200,203,203,253,245,192,160,187,199,249,240,230,217,193,139,130,211,203,203,202,200,198,163,169,179,185,190,195,200,204,203,253,248,188,175,187,214,255,247,231,197,176,139,132,211,203,203,202,200,198,164,170,179,186,193,196,201,205,204,252,250,187,200,183,233,255,248,224,198,149,116,139,213,204,204,202,201,199,164,171,180,187,193,197,201,207,205,247,246,202,219,183,238,255,244,220,191,141,107,161,216,206,205,203,202,199,165,171,180,186,192,197,202,207,203,238,246,225,225,181,231,255,232,207,171,135,112,189,212,206,206,204,202,200,163,171,180,188,194,199,204,209,207,230,252,238,223,180,220,248,209,183,150,121,130,215,211,210,209,208,207,201,157,162,167,171,175,177,180,184,183,199,251,233,214,176,197,231,189,159,140,118,136,183,178,177,175,175,171,181
24,164,167,168,169,170,170,171,172,171,171,172,171,171,170,170,169,166,165,163,163,162,159,158,158,153,152,151,149,166,169,170,171,172,173,173,173,174,174,175,172,172,171,170,171,169,168,166,165,164,162,159,158,156,154,153,152,168,170,172,173,174,174,175,176,176,177,177,175,174,172,172,172,170,170,169,166,164,163,162,160,158,156,155,154,170,171,174,179,175,177,178,178,178,179,179,177,177,175,175,174,172,171,169,168,166,166,165,163,161,158,158,156,169,177,169,146,180,179,180,181,180,181,181,180,180,178,178,177,175,174,172,171,170,168,165,164,164,162,159,157,169,184,156,95,145,188,181,184,183,182,183,182,183,181,180,179,177,176,174,173,172,170,168,166,165,163,161,160,173,179,149,106,93,181,183,184,185,184,184,184,183,183,182,180,180,178,176,174,173,173,171,168,166,165,163,161,174,181,172,125,77,144,193,184,186,186,189,190,184,184,184,180,180,182,182,177,176,174,172,170,167,167,166,168,176,179,184,149,89,97,191,187,188,188,171,172,191,187,186,188,186,170,166,183,178,175,174,172,171,164,141,127,178,180,184,175,127,82,147,198,188,176,133,100,163,175,130,130,169,141,99,142,186,175,175,175,165,144,107,103,179,181,183,188,155,95,87,189,190,161,151,123,98,134,110,74,103,139,96,70,171,182,177,167,152,123,91,160,180,181,184,189,173,115,83,144,198,154,168,146,104,96,117,84,107,139,99,65,162,187,168,141,139,90,111,177,180,183,185,188,189,158,119,101,178,139,157,160,120,81,113,96,116,142,99,76,177,186,128,119,121,68,146,177,182,185,187,188,191,186,131,103,134,134,125,164,130,95,86,85,110,140,91,98,198,160,104,123,100,88,175,171,184,186,188,191,192,194,157,148,134,122,105,138,140,98,68,65,78,102,72,82,189,117,106,125,78,146,182,171,184,187,190,192,193,194,190,168,134,101,84,85,139,117,94,56,47,67,58,53,97,98,116,104,86,180,176,174,186,189,191,192,194,194,197,169,116,99,91,79,117,149,133,72,31,68,78,100,107,113,120,81,125,188,175,173,186,188,193,195,194,196,198,174,149,130,95,84,110,146,121,78,63,92,125,131,128,109,101,70,164,185,179,176,186,189,193,194,195,199,197,189,169,135,96,88,105,136,120,127,121,119,132,129,122,100,63,100,189,180,180,179,188,191,194,194,196,200,198,186,180,149,119,97,84,129,166,161,156,143,135,126,114,80,66,175,185,181,181,180,188,191,195,195,198,200,201,184,180,157,131,100,90,122,172,170,165,149,133,119,104,55,142,196,182,183,181,179,188,192,195,195,199,200,203,185,168,153,140,107,103,131,166,161,152,139,123,110,75,91,194,185,186,184,181,180,190,193,195,196,199,200,203,191,160,158,147,119,108,133,153,151,147,127,107,91,59,168,193,187,187,186,182,181,191,193,194,197,200,201,200,203,177,157,146,127,100,117,140,139,135,111,94,55,129,199,187,189,186,184,183,182,190,194,195,197,201,201,200,204,194,169,147,124,96,103,123,121,112,93,59,112,201,191,191,188,187,185,183,182,189,193,195,198,202,202,201,204,199,168,142,115,104,105,117,113,97,64,80,203,194,192,192,189,187,187,184,182,190,193,196,199,201,201,203,202,197,172,146,133,126,120,120,114,85,51,154,205,193,193,191,190,188,186,184,181,188,192,195,197,198,201,203,196,191,182,165,144,123,128,123,103,69,76,196,196,194,192,191,189,188,186,184,180
24,131,134,135,136,137,138,139,140,139,139,140,139,139,138,137,136,133,132,130,130,129,126,124,123,119,117,116,114,133,137,138,139,140,141,141,141,142,143,143,140,140,138,138,138,137,135,133,132,130,128,125,125,122,120,118,117,135,138,140,141,142,143,144,144,145,145,145,144,142,140,140,140,138,138,137,133,131,130,129,126,124,122,121,119,137,139,142,147,144,146,146,147,147,148,148,146,145,144,144,142,140,139,137,136,133,133,132,129,127,124,124,122,137,146,136,111,148,148,149,150,149,150,150,149,149,147,147,146,143,142,140,139,138,135,132,131,130,129,125,123,137,153,122,52,109,157,150,153,152,152,152,152,152,150,149,148,146,144,142,141,140,138,136,134,132,130,127,126,141,147,113,65,50,150,153,154,155,154,153,153,153,152,151,149,149,146,144,142,141,141,139,136,134,132,130,128,142,150,140,87,32,108,164,153,156,156,159,160,153,153,153,149,149,151,151,145,145,142,140,137,135,134,133,136,144,148,153,114,46,55,161,157,157,158,139,140,162,157,155,158,156,138,133,153,146,144,142,140,139,131,105,89,147,149,154,143,89,38,111,169,158,144,96,58,129,143,92,92,136,105,57,105,155,144,143,143,132,108,66,61,148,150,153,158,120,53,44,159,160,128,116,85,56,97,70,29,61,102,53,24,138,151,146,134,118,85,48,126,148,151,153,159,141,75,39,108,170,120,135,110,62,54,77,40,66,102,57,19,129,157,135,105,102,46,70,145,149,152,154,158,159,124,80,60,146,102,123,126,81,36,73,54,76,106,57,31,146,156,90,80,82,22,110,145,151,154,157,158,162,155,94,61,96,97,86,131,92,52,42,41,70,104,47,56,169,126,63,85,58,44,144,139,153,156,158,161,162,164,123,112,97,83,64,101,103,56,22,18,34,60,27,38,159,78,65,86,34,110,151,139,154,157,160,162,164,165,160,136,97,60,40,42,103,77,51,9,0,21,10,5,55,56,77,62,43,149,144,142,155,159,162,163,165,165,168,136,77,57,48,35,77,114,96,26,0,21,33,58,66,73,81,37,87,158,143,142,156,158,163,166,165,168,170,142,114,92,52,40,69,110,82,34,16,50,87,93,90,69,59,25,131,154,147,145,156,159,163,165,166,170,168,159,137,98,53,45,63,99,81,89,82,80,95,91,84,59,16,58,159,149,149,148,158,162,164,165,167,172,169,156,149,114,80,55,41,91,133,128,121,107,98,87,74,36,20,143,155,150,150,148,158,161,166,166,169,171,172,154,149,123,93,58,47,83,140,138,132,114,96,80,62,7,105,167,151,152,150,148,158,162,166,166,171,172,175,155,135,118,103,66,62,93,133,127,117,102,84,70,30,48,165,155,156,154,150,149,161,163,166,167,171,172,175,161,126,124,111,80,68,96,118,116,112,89,66,47,12,136,164,156,157,156,152,150,161,164,165,168,171,172,172,175,145,123,111,89,59,78,103,103,97,71,51,7,91,171,156,159,156,154,152,151,160,165,166,168,173,173,172,176,165,137,112,85,53,61,84,82,72,51,11,72,172,162,161,158,156,155,153,151,160,164,166,169,173,174,173,176,170,135,106,76,62,64,77,73,55,18,35,175,165,163,162,160,157,156,153,151,160,164,168,171,172,173,175,174,168,140,110,95,88,80,81,74,42,2,119,177,164,164,162,160,158,156,153,150,158,163,166,168,170,172,176,167,161,151,131,108,85,90,85,62,23,31,167,167,165,163,162,160,158,156,153,149
5,183,184,187,191,190,190,191,192,193,192,195,193,194,194,195,193,199,186,194,192,191,190,188,188,187,184,184,183,185,188,190,192,192,192,195,190,211,200,158,201,196,196,197,193,226,148,185,197,195,192,190,190,189,187,186,185,187,189,192,194,194,197,198,193,208,233,137,195,200,197,195,204,237,133,180,202,195,195,193,192,191,190,189,189,189,191,193,197,196,195,200,197,202,246,147,185,205,201,194,229,213,128,197,200,197,197,197,195,193,192,192,189,192,194,196,197,201,221,166,197,204,255,172,177,210,201,203,245,175,140,210,199,201,200,198,198,197,195,193,191,194,197,198,200,196,239,162,174,208,255,200,169,212,197,228,239,151,169,211,202,204,201,199,200,199,198,195,195,197,198,199,203,195,238,196,151,216,254,193,161,211,206,235,202,131,194,209,205,205,203,202,201,200,198,197,197,198,200,202,205,198,233,235,155,210,243,181,148,212,215,215,143,146,215,206,207,206,206,204,204,202,199,199,199,199,201,204,206,201,217,255,177,193,243,203,153,207,207,197,120,185,215,209,209,208,206,206,205,204,203,202,201,201,202,205,207,206,212,255,210,162,242,202,163,174,185,184,135,206,213,210,210,211,208,207,206,205,206,204,203,202,204,206,207,209,209,253,255,180,210,195,177,130,159,161,149,214,213,213,213,212,211,210,209,208,206,204,203,204,205,207,210,212,209,232,255,249,191,165,178,124,132,135,171,220,215,215,210,210,209,208,207,207,207,207,207,205,207,210,211,212,213,214,254,255,238,157,151,133,126,115,185,221,210,217,225,230,232,232,224,210,208,195,197,207,210,211,213,214,216,212,233,255,255,210,139,124,125,117,144,191,206,200,179,191,208,192,195,210,194,143,176,209,211,212,214,215,217,218,216,254,255,224,156,126,123,119,128,150,175,150,117,142,156,155,172,181,179,143,202,211,213,214,215,217,219,221,216,241,255,221,156,127,118,117,129,124,116,127,185,220,216,220,217,216,189,157,213,212,213,215,217,219,221,223,218,240,255,223,162,131,116,120,119,117,177,217,227,220,222,213,213,199,153,203,216,212,215,217,219,219,222,223,219,248,255,224,169,135,120,115,94,198,240,223,221,224,213,198,216,154,176,225,211,213,217,219,220,220,222,223,221,253,255,217,166,134,118,109,108,164,197,223,224,205,198,203,194,128,197,222,216,214,217,220,222,221,221,223,226,255,255,209,166,129,109,107,120,115,133,157,171,179,197,198,151,159,221,222,211,215,218,219,221,222,224,222,233,255,251,206,160,125,104,107,112,123,147,148,159,184,177,151,178,224,227,180,130,213,217,220,220,222,225,221,240,255,246,198,152,129,108,113,119,143,163,157,154,162,140,189,228,224,209,123,121,216,218,220,222,223,225,222,249,255,234,183,158,139,111,119,141,158,162,161,136,130,201,231,218,230,186,116,119,217,219,221,224,225,226,226,255,255,220,180,171,146,112,122,149,160,160,148,139,211,232,221,234,193,114,105,91,217,220,223,226,228,225,234,255,255,219,189,173,145,113,120,148,149,149,129,207,237,226,232,221,135,103,99,82,218,221,222,225,225,223,247,255,253,227,199,166,135,106,111,135,137,120,181,238,227,236,189,130,109,98,83,72,222,223,226,228,231,230,255,255,249,228,180,127,101,81,87,99,116,174,237,233,236,175,119,111,103,94,84,68,202,206,210,213,190,210,255,255,232,198,132,83,72,61,70,53,137,248,231,234,168,106,108,101,91,88,91,78
12,79,94,105,112,115,123,130,138,141,144,148,152,157,160,163,166,169,170,173,175,176,177,177,179,180,182,182,182,83,96,108,114,117,126,134,140,143,146,151,154,158,163,167,169,171,179,179,177,177,181,182,182,184,185,184,184,85,99,112,115,119,128,137,142,145,149,153,157,161,165,167,171,172,154,164,185,179,181,184,190,184,186,187,186,87,101,114,117,121,130,138,144,147,152,156,161,164,170,174,180,184,116,82,155,192,153,109,157,194,185,188,188,89,103,114,119,123,133,139,145,150,154,158,162,168,156,133,190,191,127,85,78,135,144,89,71,174,193,189,190,90,105,116,120,125,135,142,147,152,156,159,162,191,146,85,95,181,153,112,71,74,146,115,65,120,205,189,191,93,107,118,122,128,137,143,149,154,160,159,177,201,148,108,67,150,184,125,94,66,133,132,84,97,205,193,194,95,109,120,124,130,138,145,150,156,160,163,191,186,175,133,102,112,196,149,100,58,102,132,92,83,202,195,197,98,112,122,125,132,141,147,152,159,159,177,178,153,195,161,119,79,163,172,104,59,67,113,88,68,197,199,199,100,114,123,127,134,144,149,154,157,159,203,142,133,190,174,119,77,114,174,102,63,49,100,76,60,196,201,201,101,116,125,129,135,144,150,153,143,136,164,135,119,159,169,130,87,70,147,97,63,45,83,71,65,198,202,202,103,117,125,129,136,142,161,177,164,159,156,126,77,61,153,127,74,42,117,102,64,44,76,73,72,204,203,203,105,118,126,129,138,142,172,200,190,193,181,101,64,14,102,100,58,29,81,120,99,49,90,90,88,213,201,204,107,120,127,131,140,141,180,195,156,157,141,76,64,22,51,84,68,17,48,155,121,61,94,109,57,179,211,204,109,122,128,132,141,144,175,177,139,113,134,100,71,33,18,85,78,33,76,149,129,68,70,98,37,131,219,204,111,123,129,134,141,147,167,151,119,81,112,132,67,45,16,54,57,77,143,140,119,67,54,68,49,155,217,205,110,122,130,133,142,147,165,173,143,106,84,132,72,55,34,40,79,135,155,144,124,97,75,61,77,202,212,214,111,123,128,131,140,147,170,175,142,114,87,108,82,55,39,51,122,152,154,153,141,111,83,49,137,227,204,184,112,124,128,131,142,147,171,171,155,142,95,79,98,81,61,70,158,161,159,166,136,102,74,67,198,180,167,128,113,123,129,133,143,149,169,169,164,150,90,90,122,104,73,90,171,168,174,158,112,92,65,99,192,96,103,164,113,124,129,134,143,150,164,163,158,155,92,106,121,97,101,149,178,178,169,133,95,80,63,94,96,113,84,101,112,124,128,134,142,151,158,153,158,148,103,113,122,101,138,160,180,170,149,111,81,66,82,140,94,127,94,86,113,123,128,134,144,153,161,160,165,144,109,117,123,99,138,146,166,158,133,95,73,54,115,175,107,75,132,177,89,94,97,101,105,110,112,134,158,141,119,123,118,101,130,148,147,139,107,76,58,87,98,104,106,94,140,128,84,86,85,86,89,88,82,97,160,143,125,121,113,107,115,139,131,102,78,63,61,100,168,130,122,129,97,122,89,88,91,93,94,95,97,93,156,163,136,118,114,113,111,127,116,81,64,65,143,163,214,189,190,150,125,175,89,90,90,91,93,93,95,91,141,151,132,113,106,101,103,112,98,74,48,96,211,182,155,158,165,134,101,112,89,91,92,94,95,94,96,93,144,148,98,85,84,86,95,95,77,63,43,85,205,165,164,180,206,172,120,93
11,110,113,117,119,122,124,126,128,129,130,130,131,131,131,130,131,131,130,130,129,128,126,123,124,122,121,118,116,112,117,119,122,123,126,128,130,132,132,133,132,131,133,134,132,131,131,130,130,129,128,125,125,123,122,120,118,115,119,122,124,127,129,131,132,134,134,135,134,136,127,117,136,132,132,132,130,129,129,128,126,125,124,122,123,118,121,124,127,129,132,134,135,137,137,137,135,141,144,73,137,136,134,134,133,131,131,130,128,126,124,129,106,121,124,127,129,132,135,137,137,139,139,140,136,147,157,64,130,140,136,137,136,135,134,131,130,128,128,129,58,122,126,130,132,135,137,138,139,141,141,144,136,158,155,53,131,143,139,138,137,137,136,134,133,130,134,114,27,125,128,130,135,138,139,142,142,145,147,143,141,182,149,55,141,143,141,141,140,138,138,137,136,134,140,100,16,128,131,135,138,139,141,144,145,144,135,158,131,177,137,66,150,144,144,144,144,141,141,140,139,137,140,112,37,130,134,137,140,142,146,141,173,154,82,137,112,71,117,70,130,151,146,146,146,145,144,142,142,140,139,132,55,132,136,139,142,146,141,169,190,173,128,67,97,56,83,65,101,159,147,148,148,147,146,144,145,143,140,142,75,134,137,141,145,144,157,204,146,154,153,79,66,62,97,71,109,161,150,150,151,149,149,148,146,145,142,146,118,137,140,143,146,148,194,178,109,108,149,70,59,55,95,70,115,163,153,154,153,152,151,150,148,147,146,144,139,138,142,146,142,173,201,142,102,125,124,41,67,54,85,62,128,163,155,157,156,154,153,152,150,149,149,147,144,139,143,148,143,185,191,128,77,90,97,44,64,53,81,57,149,162,157,158,157,155,154,152,150,150,150,148,147,141,144,149,144,190,193,143,95,49,50,76,45,65,79,62,164,160,159,158,157,157,156,155,154,153,151,151,149,142,147,150,148,200,191,135,83,49,35,82,42,94,86,36,129,173,161,163,164,158,152,148,146,153,158,152,151,144,148,151,153,210,188,135,93,57,38,48,34,86,71,28,52,148,162,150,131,118,109,105,94,85,123,158,151,144,150,151,160,211,185,139,102,68,48,51,57,74,76,72,71,76,95,100,114,121,106,82,73,55,74,161,153,146,151,152,162,208,181,139,105,74,54,57,98,125,125,113,101,84,87,106,105,85,67,85,129,142,147,157,154,148,153,154,162,207,184,148,114,83,61,74,123,120,108,103,96,82,71,66,71,105,134,163,169,165,162,158,156,150,155,155,168,206,186,155,115,95,70,87,115,114,103,86,83,59,50,100,159,173,170,165,162,163,162,159,156,151,158,152,182,209,187,152,112,94,76,84,97,103,94,73,54,75,142,176,172,168,165,166,165,164,163,160,159,153,157,156,203,201,171,136,103,83,76,86,82,90,82,51,104,175,178,169,170,170,168,168,166,165,165,163,160,154,153,193,210,188,160,124,97,80,80,83,72,66,60,121,184,177,173,172,171,171,169,169,167,166,166,164,162,152,162,211,199,174,152,120,102,88,78,73,53,88,160,185,176,175,175,173,172,171,171,169,168,167,166,165,163,149,175,210,192,149,119,113,100,80,70,49,75,175,184,176,177,177,177,175,174,173,172,170,170,169,166,165,163,151,190,208,183,129,98,93,86,70,56,57,160,184,178,180,179,178,177,177,174,174,173,171,171,170,167,165,164,162,203,204,171,107,92,87,77,60,45,128,188,179,183,182,180,180,178,177,175,174,174,173,172,171,169,167,166
22,163,165,167,170,174,175,177,179,181,182,181,186,185,185,184,182,188,185,188,189,187,188,188,188,188,188,188,187,165,167,170,172,174,177,179,182,185,186,143,174,191,188,195,141,175,194,180,180,193,191,190,190,191,190,189,189,167,169,172,174,176,180,182,183,188,181,123,166,195,193,202,128,166,203,175,134,193,193,192,192,193,193,192,192,168,171,174,176,180,183,185,184,193,178,111,169,196,199,200,134,174,205,179,124,189,196,194,194,195,196,195,194,171,174,175,178,181,184,186,187,197,180,113,171,198,203,194,136,181,207,178,125,189,198,196,197,197,198,197,196,172,175,177,179,182,186,189,188,199,192,117,169,200,205,183,134,186,208,181,133,192,200,198,198,199,199,198,198,174,176,179,182,185,188,192,191,201,201,120,162,203,205,170,133,187,209,176,134,199,202,201,200,200,199,200,200,175,178,181,184,186,190,193,192,204,202,119,161,210,194,157,135,190,209,176,135,201,204,203,203,203,202,203,202,177,180,182,185,188,191,194,195,200,213,142,152,202,180,155,133,196,211,174,137,206,204,203,204,204,204,204,203,179,181,184,186,189,192,195,196,200,208,173,150,137,158,167,136,203,213,168,144,211,203,204,206,205,205,205,205,180,183,185,188,191,194,197,198,202,210,189,172,158,148,150,149,210,208,158,153,215,204,207,207,208,207,207,206,181,184,186,189,192,196,199,198,209,220,200,189,201,186,134,143,204,197,149,167,215,207,209,208,208,209,208,209,182,185,188,190,193,197,199,202,202,180,198,142,192,191,150,111,157,165,127,181,216,208,209,209,209,209,210,209,184,186,190,192,195,198,200,204,206,182,183,120,116,191,178,134,111,131,115,192,216,209,210,211,210,210,210,210,185,187,190,193,196,199,200,208,210,169,171,150,85,141,203,165,121,107,116,206,214,211,211,211,212,212,211,211,186,189,191,194,197,201,201,212,210,174,153,137,112,126,215,191,147,116,116,210,215,213,213,214,214,214,213,213,187,189,192,195,197,201,201,218,215,174,139,131,121,190,217,189,158,133,118,212,215,213,214,216,215,215,215,214,188,190,192,195,197,201,203,220,207,171,149,151,158,223,210,176,151,127,120,215,216,214,214,216,216,216,216,215,189,191,193,196,198,202,204,215,203,169,166,146,181,221,196,168,138,113,139,222,215,217,215,216,217,217,217,216,189,192,195,197,200,204,204,212,200,167,166,149,197,221,183,156,134,109,154,227,215,218,217,218,218,219,218,217,187,191,195,197,200,203,206,210,199,168,179,156,204,219,175,148,127,106,161,228,216,219,219,219,219,219,219,218,188,190,193,196,200,202,205,205,199,174,187,159,195,203,169,144,124,103,174,227,217,220,220,220,220,220,219,219,188,191,194,196,199,202,205,204,199,179,185,160,188,189,158,139,121,106,189,222,218,219,220,220,220,220,219,218,189,192,195,198,200,204,206,207,204,180,171,147,172,172,145,138,119,116,208,220,219,220,220,220,220,220,220,219,190,193,196,198,201,204,205,204,203,177,154,147,174,157,147,142,111,152,224,218,220,220,220,221,221,220,220,220,189,192,195,198,202,205,202,207,210,186,168,162,180,147,155,128,113,203,223,219,219,220,221,221,221,220,220,219,190,193,198,201,204,207,200,205,209,192,183,168,173,145,151,106,159,226,217,218,219,220,221,221,221,221,221,220,168,173,178,184,187,189,189,204,191,182,186,165,166,146,131,107,191,223,218,218,219,221,220,221,221,221,221,219
14,141,140,141,141,141,141,142,142,142,142,143,142,142,142,143,142,143,143,142,142,143,141,141,141,140,140,142,104,144,143,144,143,144,144,145,146,147,146,147,146,144,145,145,145,146,147,145,145,144,144,143,143,142,140,146,86,146,146,146,145,147,147,147,148,146,147,145,147,147,148,146,151,151,147,148,148,148,146,145,145,144,145,146,118,149,148,148,150,150,150,149,149,153,157,147,136,150,149,135,132,146,152,153,151,150,150,149,149,147,147,147,138,152,153,153,154,153,152,150,162,177,142,136,134,137,124,94,111,128,134,140,156,152,155,154,153,150,150,150,146,156,156,155,157,155,162,175,171,152,81,56,81,94,91,50,45,111,93,69,158,156,157,156,154,152,153,153,150,158,157,157,160,152,178,187,107,71,46,7,23,43,50,29,23,57,60,28,136,168,159,153,157,155,154,154,154,160,159,159,163,153,187,180,96,25,15,9,3,10,19,22,15,26,35,50,65,135,133,103,117,160,155,156,156,162,161,162,164,154,193,174,112,47,20,16,11,10,9,18,15,16,54,102,66,42,127,98,100,167,158,159,158,165,164,165,165,156,195,159,87,25,9,15,25,22,9,19,23,18,34,53,26,97,149,68,127,171,161,162,161,165,165,166,164,168,195,155,109,61,22,9,22,13,26,17,43,98,136,112,78,149,135,57,139,172,163,163,163,167,167,169,165,177,199,163,125,87,50,34,13,16,51,26,95,187,171,180,156,153,133,55,132,174,165,166,165,171,171,172,165,185,205,173,129,74,47,37,31,31,35,29,138,177,168,170,140,149,124,56,120,178,166,166,166,171,171,173,166,188,211,180,131,66,39,32,29,47,31,54,179,171,174,162,147,151,118,55,95,183,168,167,167,172,173,173,170,190,211,182,145,91,46,24,25,44,29,89,189,169,175,152,164,155,110,42,125,181,169,171,169,172,173,177,169,188,214,185,147,105,58,24,23,37,17,108,178,178,165,140,167,157,85,68,180,174,173,173,171,175,176,180,167,180,213,187,156,116,63,33,27,24,21,66,90,134,132,141,156,136,60,134,186,173,176,173,173,178,177,179,168,181,212,189,157,125,80,42,10,26,40,58,88,107,117,136,140,99,71,177,178,178,179,177,175,178,178,180,170,182,211,194,161,129,93,57,13,32,47,79,109,121,117,111,111,63,120,189,179,181,180,178,176,179,178,182,168,179,210,195,167,135,99,66,26,31,61,100,123,127,105,90,73,51,169,184,181,181,181,180,179,181,179,182,168,172,209,193,170,139,104,69,43,30,60,102,124,123,101,71,49,80,192,178,180,181,182,182,182,181,179,183,172,169,205,192,174,142,111,73,54,33,50,99,122,116,86,60,51,157,188,182,183,181,182,182,181,184,183,183,171,174,201,192,175,147,119,82,64,45,46,106,119,106,76,41,105,199,182,184,184,183,183,182,181,186,185,187,169,178,206,191,173,153,126,83,69,62,41,103,103,88,67,35,156,195,185,186,186,184,184,185,184,186,185,191,170,185,210,189,173,160,130,87,70,65,44,81,88,80,52,61,192,189,187,186,186,185,185,185,184,187,186,189,171,199,205,192,186,161,131,88,69,61,48,65,73,70,35,128,201,189,190,188,187,186,185,185,184,187,187,183,169,207,207,194,180,152,115,80,64,56,51,58,61,49,76,192,193,190,190,189,187,187,187,186,186,188,189,175,171,203,203,191,165,130,97,71,57,50,55,57,58,50,164,200,190,192,191,191,188,188,188,187,186
2,119,130,136,138,142,147,151,156,159,161,163,165,169,173,174,173,178,178,177,179,181,182,183,182,183,183,184,184,121,131,138,140,145,149,152,157,160,162,168,184,196,194,181,178,178,155,137,171,174,173,181,182,182,183,183,182,122,131,138,142,147,152,155,159,172,186,192,181,159,141,113,110,124,104,82,113,120,113,166,184,182,182,182,182,124,133,139,143,149,154,158,176,212,200,154,119,102,96,82,78,81,78,80,87,83,91,163,184,182,182,182,182,126,135,141,144,151,156,179,214,194,141,88,69,71,71,69,71,68,69,87,102,118,159,182,183,182,181,181,181,129,137,143,147,154,164,215,201,128,86,67,56,67,61,60,65,77,108,158,177,182,185,185,184,184,184,183,182,131,140,144,150,156,177,226,171,95,68,62,64,70,61,68,76,151,184,188,188,188,188,188,187,186,183,185,184,134,142,147,153,158,189,224,152,89,64,58,64,63,65,71,107,190,194,192,193,192,193,193,190,191,168,181,188,137,145,149,156,161,205,215,130,74,60,59,57,54,63,72,156,199,198,197,196,197,198,194,197,191,145,182,192,140,148,152,158,165,222,207,130,88,74,70,60,60,65,104,196,201,201,201,201,201,200,199,204,166,130,192,197,144,151,155,160,178,237,205,139,98,82,70,65,75,73,142,207,204,205,205,204,204,201,200,192,138,142,203,201,147,153,158,164,200,244,201,139,96,81,66,66,74,74,168,210,208,209,209,208,208,196,188,173,114,148,208,205,151,156,160,167,210,243,197,135,94,79,65,65,68,75,172,213,211,212,212,212,206,186,185,153,101,142,211,208,153,158,162,169,211,243,193,131,94,76,65,62,71,83,134,196,203,210,216,213,195,193,184,140,100,168,214,212,154,160,165,170,208,242,193,139,101,79,66,65,82,99,102,126,144,153,178,184,189,193,178,128,137,210,215,215,157,162,168,173,212,241,194,143,105,83,67,71,97,109,111,128,146,149,142,164,189,182,149,124,199,220,218,218,160,164,170,176,221,240,194,148,111,86,68,79,103,106,115,136,154,162,159,153,173,160,119,174,223,223,222,220,163,166,172,179,226,236,194,152,120,91,71,84,104,110,133,151,160,154,149,138,136,120,143,221,225,225,224,223,165,169,176,182,226,231,193,157,127,95,77,88,109,125,150,157,153,141,127,117,105,107,203,229,227,227,227,226,168,172,178,186,225,224,190,162,134,99,83,92,112,131,146,150,140,128,113,100,101,174,231,229,229,229,229,228,170,173,181,187,218,215,188,169,143,104,93,95,111,131,137,140,132,117,104,119,192,231,233,233,231,232,232,231,173,176,184,188,212,210,192,178,147,111,101,96,114,128,132,133,123,106,130,212,237,235,235,235,234,234,234,234,175,179,186,190,214,211,197,177,143,115,107,98,118,123,125,121,107,119,210,238,236,236,236,236,236,236,235,236,178,181,189,197,223,214,196,171,141,121,111,99,113,115,109,103,122,202,239,238,238,238,237,237,238,237,237,237,180,183,190,204,231,217,201,172,141,121,109,100,106,108,95,142,215,240,240,240,240,240,239,239,239,239,239,240,182,185,192,209,233,217,206,172,136,115,105,99,103,95,138,226,241,240,241,242,242,242,241,241,241,242,234,214,183,187,194,212,223,210,194,160,122,105,99,99,97,120,215,240,243,242,243,243,242,243,242,240,223,181,128,90,185,189,196,210,212,203,191,159,116,104,104,105,94,169,236,242,244,244,244,244,244,244,224,167,111,74,60,55
2,57,65,78,98,107,114,122,126,127,131,135,139,141,145,147,149,151,152,153,156,156,156,157,157,157,158,158,157,58,67,81,99,108,116,123,127,129,132,135,139,143,148,148,150,154,154,154,157,158,159,159,159,158,160,160,160,59,68,83,101,110,118,125,128,130,135,135,142,141,132,146,150,151,155,158,162,160,160,161,162,161,162,161,161,60,69,86,104,113,120,127,129,131,135,142,179,166,145,142,134,136,151,146,146,161,163,163,164,163,162,162,163,63,71,91,105,114,120,125,131,138,126,157,179,174,184,183,157,127,114,128,106,109,161,167,163,164,163,163,164,64,72,92,106,115,122,121,170,176,163,165,154,138,135,152,176,152,100,71,109,142,124,154,167,164,165,165,165,63,73,94,106,117,117,145,197,169,174,183,181,167,128,89,96,151,131,80,78,129,79,124,174,164,167,167,167,65,75,96,108,118,118,179,152,129,140,149,140,151,161,124,118,106,133,143,120,70,100,159,167,166,168,168,168,67,78,97,110,114,132,166,161,161,152,133,117,146,141,147,153,110,72,127,122,73,158,171,166,167,169,169,169,68,78,101,110,121,175,175,178,168,160,155,149,153,97,70,97,75,94,99,85,112,169,167,168,167,170,171,169,69,81,103,106,169,181,151,138,117,92,99,101,86,69,53,62,138,169,162,156,170,168,169,171,170,170,171,170,68,84,99,125,196,144,100,76,54,49,51,52,61,60,51,70,170,165,168,172,170,173,174,167,168,175,171,171,69,87,94,168,173,117,81,50,40,52,50,48,58,57,46,62,166,167,167,169,176,152,119,107,103,137,175,170,73,81,127,199,132,89,62,50,48,48,47,55,53,47,42,47,161,170,170,176,130,91,102,111,112,84,161,176,76,78,170,182,113,85,70,60,46,44,50,52,48,47,53,36,133,179,176,138,91,118,129,128,105,88,168,177,75,83,176,160,107,83,69,52,40,44,49,53,53,54,54,48,71,177,168,91,119,132,125,103,106,158,179,175,74,89,177,152,108,78,55,43,41,43,50,59,60,60,65,71,59,72,117,102,125,122,88,119,179,180,176,177,75,92,180,150,103,69,51,47,42,46,57,62,68,74,82,88,87,47,88,121,112,84,76,175,181,178,179,178,74,96,181,148,113,82,62,50,42,48,59,72,83,90,97,98,101,74,103,116,96,62,121,189,177,180,180,179,74,103,177,140,114,84,68,58,45,47,61,83,99,101,106,110,112,87,96,115,89,72,166,186,181,182,181,181,76,103,171,137,114,88,75,68,52,49,66,96,107,112,116,121,115,97,84,115,78,82,186,182,183,182,183,183,78,100,164,136,114,98,84,71,54,49,72,104,113,117,118,122,111,93,84,80,78,150,189,183,186,186,185,184,79,98,155,133,116,103,86,70,57,51,75,102,108,112,111,110,101,85,69,108,173,190,186,187,187,187,187,186,82,93,148,137,116,101,83,68,59,60,82,96,98,98,100,100,89,64,114,193,186,183,187,187,187,187,187,186,82,91,146,142,117,99,80,72,67,67,90,92,93,93,94,86,66,102,180,181,180,182,186,186,186,187,187,186,82,93,158,143,114,96,87,81,75,70,86,85,84,82,68,80,128,181,182,182,184,185,186,186,187,188,185,184,77,138,159,150,119,100,93,85,76,65,66,67,66,70,120,165,184,180,181,183,184,185,186,187,188,184,188,195,100,171,117,143,126,98,85,76,67,59,58,58,47,82,182,176,176,180,181,183,184,185,186,187,187,189,188,192
23,140,143,145,148,151,153,155,157,158,158,159,158,158,159,158,157,157,156,155,154,153,152,153,152,151,153,166,176,142,146,149,152,154,158,160,160,162,162,163,162,162,163,163,161,162,160,157,157,156,156,155,154,153,155,140,137,145,149,153,155,158,162,164,165,166,167,168,167,166,164,163,164,160,163,166,160,159,160,160,157,157,157,147,97,149,153,157,159,162,166,168,170,170,171,172,171,171,179,192,193,167,136,152,163,166,163,163,160,160,159,162,130,152,155,160,163,166,168,172,174,175,175,177,200,200,206,213,198,184,168,159,158,153,169,167,165,163,162,161,160,154,157,162,165,168,171,175,177,179,178,189,212,185,163,157,119,131,151,148,120,127,174,169,168,166,166,165,162,156,160,164,167,170,175,177,180,182,179,203,199,183,94,108,149,164,147,128,131,168,176,173,171,170,169,168,166,158,163,166,170,173,176,179,182,184,185,211,197,178,132,161,166,193,186,186,187,181,178,178,177,174,172,170,169,161,164,167,172,175,178,181,185,185,193,206,192,201,211,179,93,170,192,183,181,183,182,181,181,178,176,174,172,162,166,169,174,176,180,183,187,186,199,206,211,220,207,172,96,155,188,193,191,187,184,185,184,182,180,177,181,163,168,171,175,179,182,185,188,186,205,218,217,196,190,152,151,205,142,144,172,186,193,187,187,186,183,187,145,166,170,173,176,181,184,186,188,201,211,207,184,164,180,164,172,198,145,84,77,100,169,195,188,187,189,178,74,168,172,175,179,182,184,191,206,209,198,186,188,194,202,198,157,153,140,88,75,73,114,201,189,186,197,131,65,168,173,177,180,182,197,205,203,201,203,209,214,208,196,180,144,89,128,101,87,81,117,200,194,201,195,87,68,170,174,179,182,185,205,194,192,188,186,195,192,178,165,156,130,72,70,90,89,78,130,211,176,154,113,71,70,171,176,180,182,189,213,199,180,175,181,182,182,178,172,163,127,79,50,80,97,91,99,112,80,57,57,67,67,173,177,180,183,190,207,197,183,184,191,195,193,173,160,148,111,81,61,100,118,104,58,44,64,61,63,65,64,174,177,180,185,188,195,199,197,197,187,188,151,128,134,126,104,79,59,81,114,104,65,47,48,48,65,62,60,174,178,182,186,190,193,198,195,189,172,149,114,72,88,127,106,72,69,89,102,91,57,56,51,46,51,57,53,176,180,184,188,191,191,190,200,200,158,119,95,65,93,139,99,62,77,93,98,76,54,51,52,54,48,49,51,176,179,183,187,190,188,184,207,194,120,92,62,71,102,93,67,77,91,90,90,63,58,56,44,45,53,51,53,176,179,183,187,190,186,182,201,173,122,99,72,51,52,58,77,92,101,100,78,47,55,59,49,37,43,45,57,176,180,184,187,191,181,183,202,173,126,105,78,55,63,87,99,106,106,99,69,40,44,58,57,42,37,42,46,176,180,184,187,191,178,192,206,179,132,110,87,71,73,101,107,108,104,89,59,42,44,49,58,49,35,41,38,181,185,188,193,197,184,189,200,177,141,114,98,80,73,91,107,108,104,77,43,45,44,46,49,56,41,35,40,151,156,160,165,172,166,188,194,175,142,115,107,87,80,80,104,110,102,58,36,46,40,41,45,48,49,32,34,103,105,107,109,104,120,187,185,166,134,118,120,88,84,85,98,107,73,52,46,43,39,34,42,43,46,38,28,114,114,114,117,105,108,189,174,150,123,129,124,89,86,86,97,72,38,52,49,48,43,33,35,41,42,41,27
17,135,139,141,147,153,157,159,164,167,169,171,173,174,175,175,174,175,175,173,166,173,172,172,172,172,170,168,167,137,140,143,149,155,159,163,166,168,171,173,174,175,177,177,178,175,182,179,122,160,176,174,173,172,171,169,168,138,142,143,149,155,161,165,167,170,173,174,177,177,179,180,178,188,179,128,94,145,180,176,174,173,172,172,170,139,143,146,151,157,164,166,168,172,174,176,180,180,181,182,179,197,190,138,72,141,182,178,176,175,174,173,172,141,144,147,152,159,165,167,171,173,176,179,180,182,182,183,181,192,197,163,85,150,183,179,178,177,176,175,173,142,146,148,154,160,165,169,173,175,178,180,181,183,184,184,183,188,211,183,113,161,184,181,180,179,178,177,175,144,147,151,156,162,167,171,173,177,180,181,183,185,186,186,186,191,219,191,132,157,187,183,181,180,180,178,176,145,148,152,157,163,168,172,174,178,180,182,185,186,187,187,186,195,222,193,138,136,189,185,184,181,181,180,179,146,150,153,159,165,169,173,177,180,183,185,187,188,191,190,187,208,226,206,154,115,189,186,186,184,183,181,180,147,151,154,161,166,171,174,179,181,184,187,187,170,171,193,193,218,221,203,158,108,186,188,187,186,185,183,181,150,152,156,162,167,172,177,180,183,186,191,189,156,102,181,202,184,192,195,153,104,181,189,188,187,187,186,184,150,153,157,163,169,173,178,181,183,182,194,181,154,85,116,154,143,181,192,154,98,179,192,190,189,187,186,186,151,154,158,164,170,175,178,184,194,193,195,163,153,134,99,91,142,192,177,156,103,178,194,191,189,189,188,187,153,155,160,167,172,177,179,194,210,198,211,197,190,166,112,78,138,177,168,150,108,168,196,193,190,190,189,189,154,156,160,168,173,178,182,195,207,157,183,202,191,168,144,101,93,132,144,134,102,151,199,194,193,192,191,190,155,157,162,169,174,180,184,189,200,163,106,124,156,172,171,138,90,79,104,111,97,140,201,195,194,194,192,191,155,158,164,170,175,181,186,188,204,180,129,66,99,149,187,164,127,91,77,93,87,149,203,196,196,195,193,192,157,158,164,172,176,182,186,190,217,194,203,103,96,163,200,173,148,119,78,72,71,156,203,198,197,197,195,193,158,159,165,172,178,184,188,189,225,211,167,124,127,225,206,177,154,127,74,57,61,170,203,199,198,197,196,194,159,161,166,173,180,185,189,190,226,208,156,162,197,220,204,162,152,116,70,57,72,196,203,201,199,199,197,196,159,162,167,174,180,186,190,191,226,201,186,181,231,198,192,168,134,111,71,52,129,210,202,201,200,200,199,197,160,162,168,175,181,186,191,194,223,214,189,191,228,199,191,186,139,95,68,59,185,208,203,202,201,200,200,198,161,163,168,176,182,188,192,194,218,221,190,198,218,194,174,168,126,82,63,76,204,206,204,204,202,201,200,199,160,163,169,177,183,189,193,195,211,222,193,181,197,167,150,134,94,72,57,114,214,206,206,204,202,202,201,201,161,164,170,177,183,188,194,197,207,215,179,155,168,155,136,110,83,76,60,176,214,208,207,206,204,202,202,201,160,162,169,176,182,188,192,190,205,208,152,142,158,168,145,113,88,68,99,212,209,209,207,206,206,203,202,201,159,161,169,176,182,191,127,49,167,202,186,181,168,172,156,114,87,63,162,214,209,209,207,206,204,203,202,201,159,161,169,177,185,170,83,40,122,201,190,175,169,166,154,115,79,73,193,211,209,208,208,207,205,203,202,201
23,160,164,166,169,173,175,178,181,182,184,185,188,188,189,189,191,192,192,195,195,196,198,199,199,198,199,199,200,160,165,168,171,175,177,178,181,183,185,186,187,189,190,192,193,194,195,197,200,198,199,199,199,200,199,200,202,162,166,168,172,176,178,179,181,183,185,186,188,191,191,190,193,187,191,195,174,195,201,200,202,202,201,203,202,163,165,169,173,177,178,180,182,184,185,188,190,190,190,198,199,184,175,153,116,195,203,201,204,203,203,204,203,165,168,170,174,177,179,181,184,185,188,189,188,191,199,204,183,136,134,127,170,206,201,203,205,204,204,205,204,165,169,171,175,177,179,182,185,185,189,187,196,210,190,179,128,134,179,200,208,203,204,205,205,205,206,206,206,165,169,172,174,178,180,183,186,187,190,185,210,215,158,119,154,205,150,180,207,201,205,207,206,207,207,206,207,166,169,173,176,179,182,182,185,187,191,187,213,218,168,178,228,193,146,148,214,206,205,207,207,207,208,209,209,165,170,174,176,179,181,183,186,188,191,190,218,213,211,226,201,176,185,161,179,191,206,206,207,208,209,209,209,166,171,174,177,180,182,184,188,190,191,193,216,207,215,205,203,204,194,159,111,122,192,210,208,209,210,209,210,168,172,175,179,180,182,185,189,190,191,196,202,197,201,204,198,191,184,142,99,89,150,221,209,209,210,210,210,168,172,175,179,181,183,184,188,189,201,205,192,188,198,196,191,188,170,130,100,94,107,166,214,209,209,210,209,167,171,175,179,181,183,185,188,192,228,212,194,200,188,181,171,150,152,133,101,88,110,107,173,218,209,210,209,167,172,176,179,182,183,186,190,190,222,223,209,202,173,144,104,104,166,132,99,79,110,110,166,220,210,211,211,168,172,177,179,182,185,186,190,191,215,219,204,188,174,145,91,108,168,127,95,95,117,122,205,214,211,212,212,168,173,177,180,183,184,186,190,191,216,220,195,210,170,104,81,133,123,87,87,118,121,156,219,211,213,213,214,168,173,177,182,183,184,187,190,190,215,215,205,202,159,108,70,86,65,78,97,126,125,200,214,212,212,212,213,169,172,177,180,183,185,187,191,191,215,212,212,199,158,122,61,61,84,110,120,116,152,219,211,213,213,213,213,170,175,178,180,183,185,188,191,192,217,212,213,198,156,128,79,79,113,129,133,115,190,218,213,214,214,213,213,171,174,178,181,184,186,189,191,194,217,214,211,192,156,129,86,94,123,132,124,144,220,211,214,215,214,214,214,171,174,178,182,184,186,188,191,196,218,211,203,185,153,128,92,100,128,133,116,175,222,212,215,215,215,215,215,170,174,179,183,184,187,190,191,199,218,201,194,180,151,129,107,103,130,128,117,203,215,213,215,215,215,215,216,170,174,178,183,184,186,190,191,200,216,198,191,175,153,135,114,106,127,116,145,221,213,215,215,216,217,217,217,171,175,179,183,185,186,191,190,203,216,200,195,176,157,140,118,109,118,116,199,217,215,216,216,217,218,218,217,171,175,179,184,184,186,192,190,208,217,200,191,176,163,138,118,112,106,171,219,213,215,216,216,217,218,218,218,171,175,180,184,186,189,190,192,215,210,197,185,173,158,126,119,106,163,219,213,215,215,216,216,218,219,219,218,171,175,180,184,186,191,188,206,218,204,194,176,158,143,126,110,144,220,213,215,215,215,216,216,218,219,219,218,171,176,181,184,185,189,187,214,210,203,189,170,150,141,125,108,198,218,213,216,216,216,217,217,218,219,219,219
24,209,210,211,211,212,213,214,215,214,215,215,215,214,214,215,214,213,211,210,209,209,208,206,205,204,202,201,200,213,214,215,215,216,217,217,218,218,218,218,217,218,218,217,217,217,216,214,213,212,211,208,210,209,205,204,204,215,217,218,219,220,220,220,222,222,222,222,220,219,221,222,220,219,218,218,217,216,215,212,200,202,212,208,207,218,220,221,221,223,224,225,225,224,225,223,224,224,224,224,224,222,222,220,219,218,216,220,191,143,212,211,209,221,223,224,225,225,225,226,225,226,228,228,226,226,225,225,225,224,224,223,222,221,217,226,195,125,206,214,211,224,225,225,226,227,229,229,229,231,226,223,232,227,228,228,228,227,226,225,224,224,220,232,193,127,209,218,215,226,227,228,228,231,232,232,231,234,221,155,215,237,231,233,232,231,230,228,226,227,224,236,181,133,219,219,217,229,231,232,233,234,233,233,234,238,211,147,157,243,233,236,235,234,232,232,231,228,230,242,177,143,228,221,219,232,233,235,235,235,235,236,235,240,224,175,128,228,239,235,237,237,235,233,233,227,238,232,159,153,234,222,221,235,235,236,236,238,239,239,239,239,237,198,124,198,248,235,238,238,239,234,236,234,252,217,131,170,237,223,225,237,237,239,240,239,239,240,240,239,243,215,145,158,252,238,241,239,234,242,232,189,197,219,125,201,236,227,227,238,240,241,241,241,240,241,241,241,244,229,177,126,235,247,240,212,181,201,214,169,113,158,139,228,234,231,229,241,241,242,243,243,244,244,244,244,246,237,192,118,190,255,225,214,196,173,168,165,164,116,137,241,233,233,231,241,243,245,245,246,246,246,246,246,247,243,207,158,147,252,213,227,194,186,180,190,195,103,154,250,232,233,233,244,245,246,246,247,248,248,247,247,247,249,227,198,125,186,183,228,213,171,176,177,176,119,160,251,234,235,233,245,246,248,248,248,249,250,250,249,248,252,241,201,155,161,166,201,229,154,100,153,207,151,120,243,239,238,235,246,247,248,249,250,250,250,250,251,252,254,244,226,218,167,137,160,215,145,85,123,211,179,111,187,251,236,237,248,249,252,252,253,252,252,253,253,253,254,246,237,216,146,114,148,193,125,83,150,229,219,148,116,244,239,239,250,251,253,254,254,254,255,255,255,255,255,253,238,204,171,152,154,190,144,112,231,237,214,153,107,233,243,240,251,253,255,255,255,255,255,255,255,255,255,255,240,227,214,167,151,191,148,195,249,223,198,125,117,246,241,241,251,253,255,255,255,255,255,255,255,255,255,255,238,230,231,179,163,137,183,253,246,208,184,115,137,255,240,242,249,251,254,254,255,255,255,255,255,255,255,255,241,223,233,200,177,134,229,249,234,204,174,110,161,255,242,241,251,253,254,255,255,255,255,255,255,255,255,255,244,221,216,207,191,141,209,244,224,193,162,97,180,255,241,241,254,253,254,255,255,255,255,255,255,255,255,255,250,215,216,215,207,161,192,245,222,180,142,91,214,255,244,243,253,254,255,255,255,255,255,255,255,255,255,255,255,227,222,212,217,178,163,231,203,158,112,105,249,247,245,244,255,255,255,255,255,255,255,255,255,255,255,255,255,240,227,219,214,180,141,195,172,133,83,140,255,244,244,246,213,217,222,226,231,235,238,243,246,249,253,254,255,242,230,216,199,174,151,156,168,122,83,217,255,252,253,242,141,141,140,142,143,145,148,152,153,154,157,161,155,202,240,212,200,195,168,154,172,110,101,198,201,199,182,139
18,182,184,187,188,192,197,201,205,208,211,215,216,217,221,222,224,226,226,227,228,229,229,230,231,229,229,229,228,183,186,187,190,193,197,202,205,210,213,215,217,219,221,222,224,227,227,229,230,231,232,232,230,230,231,229,230,183,187,189,189,193,200,205,208,212,214,216,220,221,223,224,227,228,228,230,230,232,232,231,235,233,233,231,230,183,187,189,191,195,199,205,211,214,215,218,220,222,224,226,228,229,229,229,232,231,234,232,185,234,232,232,232,185,188,190,193,197,199,205,211,214,216,219,221,224,227,228,229,229,229,232,233,229,252,236,139,168,249,238,232,188,190,191,193,198,202,208,212,215,218,221,223,225,228,229,229,229,231,233,242,220,244,241,169,131,179,220,240,188,190,192,194,199,205,209,213,216,219,222,224,226,230,233,230,237,210,179,208,216,210,255,218,177,133,128,179,188,191,193,196,200,205,210,214,217,219,222,224,226,228,210,235,251,200,183,127,190,211,255,233,188,176,173,130,189,192,194,196,200,205,210,214,220,222,223,220,236,238,187,153,231,215,196,137,163,210,222,228,209,190,174,151,190,192,195,197,201,206,212,216,220,224,223,227,255,240,217,139,196,238,190,148,121,200,168,164,208,204,174,159,191,193,196,200,204,207,212,218,222,224,221,255,255,246,222,165,159,239,192,156,102,158,149,106,239,232,191,166,192,196,196,199,205,210,214,219,223,225,229,255,255,255,222,177,130,223,184,143,90,101,123,106,226,247,203,164,192,196,197,200,206,210,215,219,225,219,243,255,255,234,225,173,115,174,155,125,96,74,87,75,217,242,213,165,192,196,198,201,207,211,216,221,225,225,255,255,247,204,180,140,109,142,133,123,75,69,148,136,235,249,201,164,194,198,198,201,207,212,217,223,219,245,255,234,224,199,125,116,110,137,148,111,107,217,245,202,198,226,180,156,197,198,199,203,209,215,219,224,222,240,255,255,214,170,137,140,105,169,184,167,247,253,232,210,155,196,165,152,197,198,200,204,210,216,220,225,225,238,255,255,233,171,162,160,107,178,215,255,255,230,204,211,161,165,171,147,196,200,201,205,210,217,222,227,223,248,255,255,243,210,189,190,158,174,255,255,237,213,193,202,194,147,166,133,197,201,201,206,211,216,222,229,224,255,255,255,222,210,182,167,192,255,255,243,223,212,206,201,199,154,143,122,199,201,202,206,212,217,222,228,225,255,255,255,225,211,184,181,238,255,255,233,226,223,194,197,189,149,121,100,200,202,203,208,214,220,223,227,225,255,255,255,226,230,188,227,245,255,249,223,226,206,175,195,175,135,111,77,201,204,204,209,214,219,224,229,227,255,255,255,248,234,196,214,238,234,234,211,211,187,180,191,151,123,85,138,201,203,205,208,215,220,225,230,229,255,255,255,255,222,192,184,219,216,217,207,199,181,179,155,126,101,97,242,200,202,205,210,215,222,226,231,229,255,255,255,251,208,165,193,204,214,217,204,194,173,153,118,109,77,199,255,201,203,205,212,216,222,226,232,232,255,255,255,224,177,168,202,201,217,218,204,179,162,134,118,84,137,255,252,203,203,204,210,216,222,225,231,232,255,253,240,223,213,210,206,201,223,212,189,159,146,128,99,88,241,255,254,203,203,206,210,216,226,234,230,236,255,255,255,255,244,225,203,192,217,202,175,147,130,113,85,212,255,254,255,203,204,208,213,223,201,187,224,246,255,255,255,255,237,211,203,189,206,192,165,142,124,87,171,255,255,255,255
2,210,213,214,216,215,216,215,215,215,214,213,213,212,211,211,210,208,207,206,207,207,206,202,204,185,69,58,73,213,215,216,217,217,216,217,217,216,217,215,215,215,213,212,211,211,210,208,207,207,206,203,210,165,56,64,84,215,215,217,220,217,217,218,219,218,217,218,218,214,212,213,211,202,209,211,212,208,207,207,209,183,83,72,80,217,218,219,219,221,220,219,219,219,219,218,216,217,221,221,185,115,138,177,135,208,212,208,205,211,113,78,82,217,220,222,222,222,222,222,222,221,220,222,233,227,206,159,120,85,75,110,75,158,216,208,207,215,131,65,64,219,220,224,224,223,223,224,225,221,229,242,240,176,112,91,78,68,71,77,79,66,171,220,207,217,169,57,38,219,222,224,225,225,225,226,227,223,237,239,190,115,59,64,68,54,59,66,72,52,162,223,211,211,213,75,19,222,224,225,226,227,227,228,227,229,255,191,101,79,57,51,62,66,60,72,93,149,216,214,214,212,217,141,90,223,225,226,226,228,230,230,223,243,254,153,78,74,73,62,68,59,141,204,216,225,216,217,215,213,216,166,149,225,226,227,228,230,232,231,224,255,233,140,85,71,75,62,81,165,225,225,219,216,218,219,217,212,225,111,148,226,226,228,231,232,233,229,238,255,200,116,65,63,64,62,142,244,221,223,221,220,220,219,217,216,222,123,186,228,227,230,232,233,233,228,254,253,186,124,83,80,64,58,154,238,224,225,224,223,221,218,218,218,220,179,161,230,232,233,234,235,233,235,255,243,173,117,93,88,82,58,188,236,226,227,225,223,222,221,220,219,219,217,176,232,235,235,235,236,232,252,255,221,155,105,87,85,85,85,216,233,227,228,226,225,225,223,222,221,220,216,203,232,234,235,236,236,231,255,255,204,143,95,83,82,83,88,220,234,229,228,226,226,226,224,222,221,220,219,209,234,234,235,238,235,235,255,255,195,134,94,85,87,87,96,228,232,230,229,228,226,226,225,224,224,222,218,215,233,235,238,240,232,255,255,238,182,126,92,86,89,78,96,241,232,231,233,231,227,227,229,229,226,225,226,219,234,236,240,239,234,255,255,220,169,116,86,83,78,78,65,172,247,229,231,233,235,228,208,191,175,164,172,217,237,239,240,233,246,255,255,204,152,109,87,74,71,77,81,81,233,246,238,229,197,171,171,167,163,148,92,159,240,241,242,230,255,255,239,188,143,107,85,62,68,76,85,69,134,207,193,167,165,170,179,163,130,131,133,186,239,243,235,238,255,255,230,177,134,104,77,57,77,85,88,93,80,102,142,170,188,176,137,102,146,213,227,225,238,240,225,255,255,255,217,174,128,94,69,64,95,102,113,112,112,121,151,172,151,114,87,162,235,227,223,223,240,225,251,255,255,249,209,165,119,94,67,78,106,113,125,121,120,126,134,115,111,157,204,234,225,224,223,221,226,240,255,255,255,236,202,155,111,93,71,93,111,117,123,120,110,94,91,152,217,239,234,228,226,225,223,222,232,255,255,255,248,226,190,138,104,93,80,109,120,122,113,102,77,101,192,241,238,231,231,232,228,225,224,223,255,255,254,247,226,198,165,118,100,86,88,109,115,116,89,78,169,233,242,233,234,233,232,232,229,227,224,223,253,251,239,216,188,170,130,100,87,84,95,99,105,83,78,189,249,238,234,236,234,233,232,231,229,227,226,225,255,244,219,188,165,152,109,85,82,90,87,86,81,108,211,247,233,235,236,236,235,233,233,232,230,227,226,226
21,153,155,158,159,160,159,159,161,162,161,162,167,164,164,163,163,162,162,162,163,162,161,160,160,158,157,157,156,157,159,163,163,163,163,164,165,165,167,163,141,167,166,167,166,166,166,167,167,167,165,163,163,161,160,160,159,161,163,165,166,168,169,167,168,168,170,178,103,144,178,169,171,170,169,169,169,168,168,167,166,166,165,164,162,165,166,168,169,170,171,172,173,173,173,183,109,122,184,173,175,176,176,172,173,171,170,170,168,168,168,166,165,168,170,172,173,174,174,175,177,176,177,186,110,105,186,177,167,134,165,180,176,176,174,173,173,172,171,170,167,172,173,176,177,179,179,179,180,180,179,192,130,99,183,181,166,109,118,190,178,178,177,176,175,176,174,173,171,175,177,180,181,182,182,183,182,184,180,200,168,100,172,190,163,115,102,188,183,182,181,180,179,178,176,174,173,178,180,182,182,184,184,185,186,187,182,202,176,99,154,196,162,118,97,180,190,185,184,183,182,180,180,179,177,180,182,185,186,186,187,188,188,188,184,206,191,116,140,200,171,144,105,175,192,187,187,187,186,184,183,182,180,183,185,186,188,188,189,190,190,189,189,180,174,147,126,202,168,142,105,171,196,189,189,188,187,186,186,184,182,186,189,188,188,190,191,191,192,192,198,175,130,125,120,198,164,154,103,170,201,192,191,190,189,189,188,187,184,187,189,190,191,192,193,193,195,192,211,201,151,83,94,197,172,173,119,172,202,194,193,193,192,191,190,189,188,188,191,193,194,195,196,196,197,196,211,210,153,113,148,150,138,151,127,134,205,195,196,195,194,194,193,191,189,191,193,195,196,196,198,200,197,191,176,193,158,104,131,119,134,127,130,111,179,204,198,197,196,195,195,193,192,194,196,197,199,199,201,201,202,184,117,145,179,89,50,103,120,92,167,133,137,210,198,200,199,198,196,195,194,195,198,200,201,201,202,201,205,195,142,96,182,127,64,78,64,135,203,168,115,191,204,200,200,200,198,197,195,196,199,199,201,201,202,207,195,190,176,95,165,156,66,89,153,137,187,180,114,137,214,200,201,201,199,199,198,198,200,200,202,203,204,206,212,176,169,107,85,94,53,88,188,179,166,141,104,95,201,205,201,200,199,200,199,199,201,201,203,205,205,204,199,157,155,109,72,60,74,134,192,195,163,114,92,95,199,207,203,202,201,200,200,200,202,202,206,208,208,204,198,192,139,132,111,78,122,188,203,186,158,116,83,118,216,205,206,204,203,201,201,201,203,204,206,207,210,204,210,180,159,145,130,91,157,210,199,188,155,112,73,162,220,206,207,206,205,203,202,202,204,206,207,208,210,208,210,194,172,132,178,163,204,215,207,188,136,99,78,197,214,209,208,206,207,205,203,203,205,206,208,208,210,210,206,205,161,158,177,189,219,226,216,171,120,80,106,219,209,210,209,209,207,206,205,204,206,207,208,210,210,211,194,197,178,174,158,183,209,219,200,148,112,73,147,226,212,211,210,210,208,208,205,204,205,206,208,209,209,212,190,190,185,176,159,175,194,192,166,122,95,78,196,219,213,213,212,210,209,210,211,202,205,206,208,208,208,214,203,179,178,172,170,159,164,169,136,99,72,136,224,213,214,213,213,211,209,207,197,203,205,207,208,209,209,212,214,181,176,170,175,151,149,157,120,84,80,203,216,215,213,213,212,212,211,208,130,205,206,208,208,210,211,211,216,188,169,157,158,143,138,144,114,69,112,221,213,215,215,215,211,216,179,144,103
23,189,191,192,193,195,195,197,199,199,199,199,201,201,202,203,202,203,204,202,202,202,201,201,201,200,200,201,201,190,192,194,195,197,197,200,202,201,201,202,203,204,206,207,206,203,202,204,203,203,204,203,204,204,204,203,204,191,194,196,197,198,199,201,202,202,203,203,205,207,206,204,205,214,226,231,216,199,200,208,204,204,206,205,206,192,194,197,198,198,200,202,204,205,205,205,207,206,213,220,234,243,242,231,217,207,197,187,151,199,207,207,207,195,196,198,199,199,201,203,205,206,204,207,205,215,255,250,227,223,220,183,156,161,154,137,162,210,207,209,208,195,197,198,200,201,203,203,205,206,207,209,202,229,255,228,194,193,159,151,188,180,175,192,213,209,209,210,209,197,197,200,202,203,204,206,207,208,209,210,202,241,255,221,165,141,170,206,216,216,217,215,211,210,210,211,211,197,199,202,204,204,207,209,208,209,210,210,209,255,253,224,173,179,220,218,232,220,200,214,211,212,212,212,212,199,201,202,204,206,208,208,209,211,213,208,220,255,244,234,156,190,245,250,255,233,161,218,222,215,213,215,215,199,202,204,205,207,206,209,211,213,216,206,232,255,238,234,200,251,255,255,243,205,146,150,176,218,217,216,215,201,203,204,207,208,208,211,212,214,215,209,249,255,237,253,255,255,249,235,222,214,222,161,108,191,222,215,217,203,205,207,208,209,212,214,215,216,213,217,255,255,250,250,251,249,243,243,244,244,241,192,120,156,229,215,219,204,206,209,210,211,213,214,217,215,218,246,255,251,247,242,248,250,251,245,238,221,207,169,123,121,193,223,218,205,207,208,211,212,214,215,217,213,247,255,255,255,250,241,237,241,241,233,222,211,218,187,118,113,150,229,220,207,208,210,212,213,215,216,218,213,252,255,255,255,250,233,232,237,237,233,223,219,222,196,127,107,164,231,221,209,210,211,214,215,216,218,220,217,247,255,255,255,255,246,247,236,230,223,212,209,202,169,129,112,199,230,222,209,210,212,215,216,217,220,222,216,241,255,255,255,255,244,249,217,193,192,186,174,168,163,128,137,227,226,224,210,211,214,216,217,218,220,223,217,236,255,255,255,251,242,237,205,163,137,121,133,169,162,124,172,235,225,225,212,214,216,217,219,220,222,223,219,234,255,255,255,247,240,222,198,173,130,56,116,170,158,124,203,233,227,227,213,215,216,219,221,221,223,224,223,232,255,255,255,250,237,245,234,160,91,91,143,160,137,132,224,229,227,230,214,216,218,220,221,223,224,225,225,231,255,255,255,251,244,247,217,161,98,112,144,130,116,162,239,228,229,230,215,217,219,221,222,223,225,225,225,229,255,255,255,254,250,245,205,170,125,100,114,124,119,179,241,227,230,230,216,218,220,221,224,224,226,227,228,227,255,255,255,254,254,246,208,167,137,95,116,133,121,195,241,230,231,231,216,218,220,222,224,225,227,228,229,228,255,255,255,255,254,244,209,169,146,113,125,137,126,216,237,232,233,234,217,218,221,223,224,225,228,229,230,229,255,255,255,255,253,240,211,173,148,123,134,136,141,236,231,234,235,235,217,219,221,222,224,226,228,230,231,229,255,255,255,253,247,231,204,170,147,129,135,125,174,246,232,234,235,235,219,221,222,224,226,227,230,230,232,230,255,255,255,248,234,218,194,162,148,138,131,130,228,239,234,236,236,236,220,222,223,225,228,230,231,231,234,231,255,255,255,244,222,203,177,159,152,145,122,172,246,234,237,237,237,237
2,162,162,162,163,164,164,163,163,163,163,163,163,163,163,163,162,162,162,161,161,160,158,158,160,156,87,60,76,164,165,166,165,165,165,164,165,165,166,166,167,165,164,165,165,162,166,164,165,160,161,162,165,147,73,72,81,168,169,169,168,168,169,169,169,169,170,170,169,166,170,176,149,107,139,152,140,169,165,164,165,159,91,79,76,171,171,171,170,170,171,171,171,172,171,169,172,178,175,143,110,85,91,111,90,128,161,166,164,168,115,78,82,173,173,173,173,173,173,173,174,173,174,184,191,161,116,94,85,80,81,88,80,74,136,174,165,173,129,75,73,176,176,176,175,175,176,176,177,173,183,195,175,112,77,80,78,73,68,77,80,71,134,176,167,173,148,80,59,177,178,178,177,178,178,179,179,175,198,177,117,86,70,72,76,71,67,70,75,106,168,172,169,170,170,85,47,180,180,180,180,180,179,181,179,185,206,142,86,78,72,67,72,76,86,123,151,175,176,174,172,172,172,118,104,182,182,182,183,183,182,182,177,198,193,128,92,79,86,76,77,87,149,186,180,177,177,176,174,174,176,147,134,181,183,185,185,185,185,183,186,203,169,112,79,77,82,76,96,163,184,178,179,180,179,177,176,175,184,116,143,184,185,186,186,186,186,181,197,199,156,111,83,79,75,80,129,196,181,183,181,180,181,180,180,177,182,129,169,186,188,188,188,187,187,186,209,192,149,112,97,89,79,78,147,192,186,186,183,183,182,181,181,179,179,167,153,187,188,189,190,190,186,196,217,181,137,105,95,93,90,85,178,191,186,187,186,186,184,184,183,181,181,183,160,189,188,190,191,191,185,206,212,171,128,97,91,87,90,104,191,189,188,187,187,187,187,186,185,183,184,181,177,190,191,191,191,189,186,216,201,165,127,98,88,86,88,111,194,189,189,187,187,187,186,186,186,185,185,183,177,191,191,191,193,186,200,216,189,155,119,99,90,93,83,127,201,190,190,189,189,188,187,189,189,188,189,189,183,192,192,193,194,189,215,208,179,145,113,97,88,87,77,116,201,191,192,191,192,193,193,187,179,172,166,174,189,194,194,196,189,191,219,202,172,139,108,94,84,81,91,84,144,204,192,196,195,181,169,161,158,154,145,121,147,194,195,198,186,203,215,195,163,130,107,91,75,84,94,95,90,171,194,180,162,156,157,166,161,142,127,116,134,196,198,193,190,215,210,187,151,122,106,85,71,91,94,100,106,107,127,140,156,169,162,144,116,123,164,184,189,197,200,188,204,215,203,179,144,118,103,78,80,104,107,117,118,117,123,144,161,151,124,100,128,190,195,193,192,200,195,192,216,212,198,168,139,116,102,79,90,113,119,123,121,121,126,135,122,114,133,163,194,194,192,191,190,197,191,212,213,205,189,162,133,107,99,85,101,117,125,126,121,114,107,101,128,176,199,201,196,195,193,193,192,187,202,215,208,201,187,157,125,103,99,92,112,122,124,119,110,97,103,155,201,201,197,196,197,197,195,196,195,196,206,207,201,190,167,136,112,103,96,98,115,118,120,107,95,139,186,205,199,199,200,199,198,198,196,197,197,203,204,200,184,166,144,122,106,102,96,103,109,113,107,93,153,208,204,200,200,200,201,201,201,200,198,198,197,200,199,186,166,150,136,116,104,100,102,102,102,100,109,167,208,201,202,203,202,202,202,202,202,200,199,197,197,199,191,174,146,138,119,101,103,104,103,101,97,139,196,209,203,204,204,204,204,203,203,203,202,201,201,199,198
3,99,91,35,74,101,116,126,138,147,152,157,161,164,167,170,172,175,177,181,181,183,186,187,189,191,191,191,192,107,85,36,81,106,120,130,142,149,155,160,164,166,168,171,174,177,177,178,185,185,188,189,190,192,193,194,195,114,80,38,86,109,121,132,144,150,156,162,165,167,170,173,176,179,188,137,178,189,189,191,192,192,194,196,195,115,69,42,90,110,122,133,144,151,157,162,166,168,170,175,177,183,204,128,160,194,189,192,193,195,196,197,197,116,59,50,93,112,123,135,146,153,159,162,166,169,173,176,178,186,201,125,159,195,191,193,195,196,196,197,198,116,51,58,96,114,125,137,148,154,161,165,168,171,174,179,179,191,205,126,165,195,191,195,196,197,198,198,199,113,44,64,99,116,126,139,150,156,162,167,171,176,173,174,174,201,193,123,168,199,195,197,197,199,200,200,200,109,40,72,101,118,128,142,152,158,164,165,168,169,206,189,149,192,167,116,171,200,197,198,199,200,201,201,202,102,39,79,104,120,131,143,152,159,162,185,193,158,177,215,166,137,156,113,181,200,198,200,200,201,203,204,204,93,40,84,106,121,132,145,154,160,158,193,228,201,141,174,178,141,168,121,192,198,199,200,202,203,205,205,205,82,42,89,109,122,135,148,154,164,207,189,152,190,162,133,206,181,161,113,187,203,199,202,204,204,205,206,207,71,47,92,111,125,136,149,153,173,221,205,154,129,177,129,133,149,167,117,140,204,201,204,205,206,206,207,208,60,53,96,112,127,138,151,152,183,191,144,176,157,158,164,90,119,184,176,128,164,211,204,206,207,208,209,209,50,61,98,115,128,139,153,151,191,185,111,131,133,123,134,129,124,167,194,133,159,213,205,208,207,209,210,209,41,67,100,116,129,140,154,153,195,186,160,133,104,119,134,150,130,173,195,126,177,214,207,209,209,211,211,211,36,74,102,117,128,141,152,153,206,199,158,123,110,132,156,157,142,196,203,126,192,211,208,210,211,211,212,212,36,79,104,119,130,141,152,156,205,187,139,118,122,143,168,171,189,214,189,124,197,210,209,210,211,212,212,213,38,83,104,120,131,142,154,155,202,194,153,130,124,150,176,198,221,203,172,121,199,210,211,212,213,213,213,214,43,85,108,122,132,144,154,154,201,202,163,137,130,149,189,224,222,186,144,130,210,211,212,213,213,213,213,215,48,88,109,123,133,144,155,154,197,210,179,143,138,154,209,223,214,185,122,138,216,209,213,213,213,213,214,214,52,90,109,122,133,145,155,156,189,209,181,156,148,159,217,221,204,179,115,151,218,209,213,213,213,214,214,214,56,93,110,121,133,144,154,159,176,199,185,174,161,164,210,212,191,169,109,174,217,210,212,213,214,215,215,215,61,95,112,123,133,145,153,160,167,192,193,181,175,160,193,194,176,150,114,199,213,211,213,213,214,215,215,215,65,96,113,123,134,146,153,160,166,197,199,185,169,153,171,175,167,141,131,215,210,212,214,214,215,216,215,215,69,97,113,123,134,146,154,162,165,210,205,181,163,150,164,161,167,125,171,216,209,212,214,215,215,216,216,216,73,98,113,123,134,146,154,161,168,220,205,184,168,156,172,161,149,120,201,210,211,213,214,214,215,216,216,216,77,100,113,124,134,146,153,160,172,219,214,199,166,170,181,151,121,135,212,207,211,212,214,215,215,217,217,216,81,101,115,125,135,146,153,160,172,220,223,200,165,178,172,144,107,150,214,208,211,212,214,215,216,218,219,218
11,212,216,219,221,221,223,225,226,226,227,228,227,227,231,230,231,230,228,228,228,227,226,226,226,224,222,220,220,213,219,221,221,223,225,227,227,229,229,229,232,235,224,234,234,233,231,231,231,229,228,228,228,228,226,223,222,218,220,223,225,225,227,229,231,232,234,230,243,254,171,233,237,234,233,234,234,234,232,231,231,231,230,226,226,221,222,225,228,229,229,232,235,235,237,229,255,252,148,228,237,235,235,236,237,237,236,236,234,232,231,229,227,221,224,228,229,230,231,233,236,237,237,233,255,230,147,236,238,238,238,237,237,238,237,237,236,234,233,232,229,225,227,229,231,232,234,236,238,240,233,254,255,186,163,247,236,239,240,240,239,239,238,238,238,236,234,235,232,227,229,231,233,235,236,237,239,242,232,255,255,160,201,250,240,242,243,244,242,240,240,241,240,238,236,236,234,230,232,234,236,238,238,238,242,236,252,255,254,148,227,248,245,245,245,245,243,242,243,244,242,239,239,238,237,230,234,235,237,239,241,243,243,243,255,255,201,153,251,247,246,247,246,246,247,246,246,245,243,243,240,239,239,231,234,237,239,241,244,245,239,255,255,255,150,186,255,246,247,248,249,249,248,247,247,247,245,245,244,241,240,236,238,240,241,243,245,247,241,255,255,255,127,230,255,248,249,247,249,250,250,250,248,247,246,245,245,245,243,237,238,241,244,246,247,247,253,255,255,233,198,255,222,247,253,250,251,251,253,254,251,248,249,247,246,246,244,238,241,243,245,248,248,240,255,255,255,255,255,252,159,220,255,251,253,254,254,254,253,251,251,248,247,247,246,238,241,245,246,243,249,255,255,255,255,255,238,165,144,201,255,252,255,255,255,254,254,252,252,252,250,248,246,239,242,246,249,255,255,255,255,255,255,255,216,143,139,180,255,253,255,255,255,255,255,254,253,254,254,249,248,241,246,242,255,255,255,255,255,255,251,160,173,146,149,160,255,255,255,255,255,255,255,255,255,255,254,252,250,243,246,250,255,255,255,255,255,255,224,151,146,149,149,154,249,255,255,255,255,255,255,255,255,255,255,254,254,246,243,255,255,255,255,255,255,232,236,179,144,142,150,156,249,255,255,255,255,255,255,255,255,255,255,255,255,249,244,255,255,255,255,241,190,158,248,208,153,134,135,170,255,255,255,255,255,255,255,255,255,255,255,255,255,246,255,255,255,255,222,166,116,94,251,226,148,148,209,251,255,255,255,255,255,255,255,255,255,255,255,255,255,244,255,255,255,255,206,160,104,173,252,161,115,160,255,255,255,242,212,185,173,173,193,251,255,255,255,255,255,248,255,255,255,238,178,136,99,157,170,92,101,95,114,151,155,156,152,147,156,153,137,147,240,255,255,255,255,255,255,255,255,199,145,116,104,101,104,102,107,113,107,119,148,168,183,175,172,161,146,118,161,255,255,255,255,255,255,255,238,183,142,108,101,101,106,115,122,131,135,158,175,175,174,176,185,212,220,189,210,255,255,255,255,255,255,255,219,172,133,99,101,113,131,144,146,150,156,173,167,194,234,255,255,255,255,255,255,255,255,255,212,255,255,255,202,163,126,99,124,145,159,168,168,162,149,168,225,255,255,255,255,255,255,255,255,255,255,205,135,255,255,236,188,153,125,111,150,168,168,166,174,149,198,255,255,255,255,255,255,255,255,255,255,239,159,122,113,255,255,212,174,150,127,119,153,163,164,166,152,195,255,255,255,255,255,255,255,255,255,255,236,145,129,120,108
7,224,223,224,223,223,223,223,223,222,222,220,218,216,216,215,213,211,209,207,206,205,204,202,201,198,194,192,191,227,226,227,225,226,226,226,225,225,224,223,221,220,218,217,216,214,213,211,209,208,206,205,202,200,198,194,196,228,228,229,228,229,230,229,228,227,225,224,223,221,221,221,220,218,216,213,211,210,208,206,204,202,200,196,195,230,229,229,230,231,231,230,230,228,227,225,224,225,224,223,221,221,219,216,214,213,211,208,208,205,202,199,198,231,231,232,232,233,234,232,231,230,229,229,229,227,224,223,222,221,220,219,217,215,213,210,209,207,204,202,200,234,232,232,233,233,235,234,233,232,231,231,231,229,227,227,225,223,222,220,218,216,216,215,212,209,207,205,202,236,235,234,236,236,235,236,236,234,232,231,232,230,229,228,227,225,224,222,222,218,216,215,213,210,208,206,205,237,237,237,237,237,236,236,238,236,235,233,232,231,231,229,227,227,225,225,222,222,221,219,217,213,209,207,206,238,238,238,238,238,238,238,238,236,236,235,233,235,235,235,234,230,231,228,223,220,214,211,207,211,214,209,208,239,239,239,240,240,240,239,242,244,241,236,234,227,218,208,196,185,166,162,166,168,142,148,184,175,205,213,209,240,241,241,240,239,242,241,223,197,177,168,162,163,155,145,141,146,119,127,133,128,126,135,173,144,194,217,212,242,241,241,243,245,233,208,184,162,128,134,142,143,147,143,145,120,114,107,106,104,109,91,114,161,212,221,214,243,242,245,242,214,194,191,185,160,121,115,115,114,118,122,126,124,134,125,97,105,101,96,101,107,117,183,219,241,248,234,195,181,185,186,174,164,147,132,131,133,143,148,146,149,142,131,87,96,102,88,84,72,94,126,221,250,227,186,182,183,184,174,174,176,163,146,142,141,151,140,135,129,119,100,71,71,74,70,73,72,85,160,221,220,191,189,187,185,180,178,186,172,148,101,93,107,112,100,96,102,105,109,127,156,173,188,192,197,203,218,215,185,196,197,189,185,186,184,163,150,121,72,76,82,62,147,208,208,224,234,238,240,236,235,233,227,223,223,225,189,195,193,189,188,181,158,143,141,113,88,66,61,62,69,203,250,236,234,230,227,226,225,220,222,226,203,170,188,188,192,195,187,165,147,133,133,143,140,83,56,66,38,142,251,233,236,232,227,227,230,233,219,141,88,73,186,190,196,188,167,139,129,126,129,145,128,72,59,51,82,228,239,235,234,238,241,233,208,157,101,63,57,65,188,190,185,163,140,127,123,117,115,118,84,59,40,70,225,246,240,241,244,217,176,129,86,62,57,64,53,59,185,175,153,142,139,132,130,115,93,90,82,66,43,93,255,231,224,223,183,105,71,59,63,64,64,66,50,50,162,148,144,140,130,118,102,86,79,96,100,68,45,136,165,96,91,86,69,64,78,61,53,60,62,64,48,42,150,148,141,119,100,91,85,86,92,101,79,59,77,93,49,48,59,46,63,52,56,63,35,48,59,62,46,41,148,141,123,107,101,98,92,85,81,70,67,83,80,73,63,36,59,44,50,45,47,50,31,41,55,59,40,43,129,111,102,103,100,94,80,71,75,78,80,72,63,56,57,35,41,46,37,40,45,39,27,36,54,53,34,44,83,68,75,80,82,82,89,95,74,76,65,59,50,55,49,41,26,43,32,36,42,31,28,36,52,50,31,44,60,103,121,119,116,121,122,97,61,50,59,58,44,48,42,43,20,32,33,33,42,28,29,39,50,47,28,49
4,127,130,133,136,139,143,147,151,152,153,158,158,159,162,165,165,165,166,166,168,169,170,169,168,169,169,168,167,128,132,134,137,141,145,150,152,153,155,158,160,163,163,165,168,170,167,169,170,169,171,171,170,171,171,169,169,130,135,135,138,142,147,150,152,156,158,160,167,161,172,159,125,150,176,166,169,175,172,173,173,173,172,171,171,131,135,137,140,144,148,151,154,156,161,152,146,166,198,173,126,101,158,149,112,155,179,172,175,175,174,173,173,133,136,138,142,146,150,153,153,168,194,160,139,140,195,178,156,121,106,152,105,90,171,178,177,178,176,176,176,135,137,138,142,147,151,157,149,189,224,190,171,121,160,193,156,136,84,139,127,86,133,186,175,177,178,177,177,135,138,139,143,148,152,154,152,179,205,218,191,145,121,199,167,135,78,133,134,91,125,189,178,179,180,179,178,136,139,142,145,151,150,166,175,163,160,176,200,148,90,154,174,118,74,125,133,83,122,189,178,179,179,180,179,137,139,142,146,152,146,195,213,194,180,142,123,120,77,98,133,93,73,107,114,76,134,189,178,181,181,180,180,137,139,143,147,153,148,201,197,193,187,140,80,82,78,66,103,76,49,76,74,66,155,187,181,184,182,181,181,138,139,143,147,153,152,192,136,131,149,110,73,65,92,52,88,95,111,138,84,57,172,186,181,184,183,183,183,140,142,143,148,153,156,185,118,68,111,118,79,64,84,85,108,155,189,169,111,73,139,192,186,182,185,184,184,141,143,144,149,155,155,185,139,110,93,126,94,92,133,143,154,177,185,144,106,97,83,122,179,190,185,186,185,141,143,145,150,156,154,184,156,131,97,90,74,94,160,134,148,157,144,113,101,104,101,87,93,155,192,185,186,142,145,147,151,157,155,181,170,122,88,75,64,57,107,107,110,107,100,89,97,102,103,103,90,81,178,190,186,143,145,148,153,158,155,179,180,133,111,94,81,63,53,77,95,100,91,77,84,100,111,102,98,85,160,193,185,144,145,148,153,158,156,176,193,161,118,99,85,74,68,90,135,140,136,129,109,105,124,104,95,99,176,192,186,143,146,148,154,158,158,174,192,161,129,122,99,86,77,113,166,181,181,173,149,126,118,104,93,131,193,189,189,143,146,149,155,159,160,171,195,163,153,139,106,91,85,122,185,191,185,169,142,122,103,97,99,171,194,189,191,145,145,150,155,158,161,169,190,167,162,139,100,94,93,121,187,180,171,158,137,114,101,93,120,194,191,192,191,146,146,150,155,158,164,166,185,168,155,130,97,100,99,123,174,163,156,150,129,106,101,97,153,200,191,192,192,146,146,150,155,160,165,166,182,170,151,124,99,109,107,137,164,154,151,138,116,101,102,109,182,195,192,193,194,144,147,151,157,161,164,167,177,176,150,120,114,130,116,139,153,147,141,118,103,100,99,142,197,192,194,195,194,146,146,151,157,161,164,169,173,173,149,130,135,134,119,118,133,128,119,102,97,98,112,182,195,195,195,195,194,146,147,152,157,162,165,170,172,177,158,139,135,125,110,98,105,104,99,96,104,98,145,201,196,197,196,195,194,146,147,152,157,161,165,170,171,177,174,138,118,110,100,96,98,98,98,100,105,87,154,203,195,197,196,195,195,147,148,154,158,162,167,171,174,175,179,140,104,93,92,94,102,101,100,100,101,78,135,205,194,196,197,197,197,147,149,154,158,162,166,170,175,174,174,154,113,103,106,107,108,104,98,99,97,82,117,202,194,195,198,199,198
10,79,88,99,115,135,145,152,157,159,162,163,164,165,166,166,167,168,167,166,165,164,163,162,159,158,156,153,151,80,89,100,117,136,147,153,157,160,162,163,165,167,168,168,168,168,168,167,166,165,164,162,160,159,158,155,152,82,91,102,119,138,148,155,159,161,164,165,167,168,169,171,171,171,170,168,168,167,156,159,162,160,158,157,154,83,92,103,120,139,150,157,160,163,166,167,169,170,171,172,173,173,173,172,170,171,130,129,165,162,160,158,156,85,93,104,122,141,151,158,163,165,167,170,172,173,173,174,175,175,175,174,173,174,129,113,165,165,163,160,159,87,94,106,124,142,153,160,165,166,169,172,174,174,176,178,178,178,177,177,176,176,127,109,166,167,165,164,162,88,96,107,125,144,154,162,166,168,170,174,176,177,178,180,181,180,179,179,179,179,131,110,169,171,169,166,164,89,97,109,128,146,155,163,167,169,172,175,178,179,181,181,182,182,182,181,181,162,128,110,171,173,171,169,167,90,99,109,129,147,157,163,168,171,174,178,180,181,182,183,184,185,185,185,181,118,105,107,173,175,173,171,169,91,99,110,131,148,158,165,170,172,175,180,181,182,185,185,186,186,182,172,159,104,83,110,176,177,175,172,170,92,99,111,131,148,159,166,171,173,177,180,182,184,186,187,189,190,178,150,107,88,71,114,181,179,177,175,173,93,101,112,132,149,160,167,172,175,178,181,184,186,188,184,167,173,165,124,81,72,77,100,179,181,179,176,174,95,102,113,134,149,161,168,173,175,179,183,186,188,190,179,141,112,88,71,73,90,81,82,174,182,180,178,175,96,103,114,135,150,162,169,174,177,180,185,187,179,172,183,158,106,49,47,70,133,102,80,169,183,181,179,176,96,104,115,136,150,162,169,174,178,180,185,189,173,144,147,169,124,63,51,73,150,125,84,164,186,182,180,178,96,105,115,136,150,163,170,175,178,182,186,191,183,166,133,155,130,80,49,88,154,134,83,150,188,184,182,180,97,105,116,137,152,163,171,177,179,183,187,189,162,159,126,122,131,92,61,123,155,129,79,137,189,185,183,181,98,106,117,138,153,163,171,177,180,184,188,193,164,130,115,99,139,130,95,151,147,110,76,143,190,186,183,181,97,106,119,139,153,164,171,177,181,185,188,191,173,136,113,109,135,143,109,152,136,94,73,157,191,186,185,182,98,106,119,139,153,164,172,178,181,185,189,193,192,160,124,108,113,142,137,150,126,88,70,167,192,188,186,183,98,107,119,140,154,164,172,178,181,185,189,191,195,175,145,123,123,175,175,146,116,84,75,177,193,189,186,184,98,107,120,141,153,164,173,178,182,186,190,191,183,173,156,140,133,173,170,135,107,77,84,187,193,191,188,186,98,106,120,140,153,164,173,179,182,186,190,193,180,172,161,149,137,164,159,124,95,66,103,194,193,191,189,187,97,104,119,140,153,164,173,178,182,186,189,192,189,171,163,147,131,145,141,111,84,60,137,196,193,190,188,186,95,103,117,138,151,162,171,177,180,184,187,190,193,180,161,142,127,129,132,110,81,74,174,195,192,188,186,184,95,102,116,136,150,162,171,177,180,184,188,191,194,191,166,144,137,130,134,113,77,102,192,193,190,187,185,183,94,101,115,135,148,161,170,176,179,183,187,191,194,190,176,159,151,137,131,106,73,126,196,193,189,187,185,183,92,99,115,135,147,159,169,174,177,182,186,189,191,185,185,169,155,135,118,97,70,133,195,191,188,186,184,182
23,133,136,139,142,146,148,151,154,155,158,158,161,161,162,163,165,165,166,169,169,170,172,172,172,172,173,173,174,133,137,141,144,147,150,152,154,156,158,159,161,162,164,165,166,167,168,170,171,171,173,173,173,174,173,174,175,135,138,141,145,149,151,152,155,157,158,160,162,164,165,165,166,161,164,163,148,168,174,174,175,175,175,177,176,136,138,142,146,150,152,153,156,158,159,161,163,164,165,171,170,155,145,126,104,165,176,176,178,177,177,178,177,138,141,143,147,150,152,154,157,159,161,162,163,166,172,174,152,114,111,109,142,175,176,177,178,178,178,178,178,138,141,144,147,150,152,155,158,159,162,162,171,181,162,146,111,114,145,167,177,177,178,179,179,179,180,180,180,138,142,145,148,151,153,156,159,160,163,162,182,184,136,104,130,164,129,153,178,177,179,181,180,181,181,181,181,139,142,146,149,152,154,156,158,161,163,163,186,187,148,154,188,164,128,128,179,180,180,181,181,181,182,182,183,138,143,147,149,152,154,156,159,162,164,166,190,187,183,192,177,155,154,135,150,160,178,181,181,182,183,183,183,139,143,147,150,153,155,157,161,163,165,168,187,182,187,181,177,175,164,130,90,100,160,183,183,183,184,184,184,141,145,148,152,153,155,159,162,164,165,170,175,171,176,177,172,165,154,114,72,68,122,184,185,184,184,184,184,141,145,148,152,154,156,158,162,164,175,177,167,164,170,169,164,158,140,103,73,64,84,138,181,184,184,184,183,140,144,149,152,155,156,159,162,167,197,186,171,172,162,153,139,123,125,103,73,59,78,89,147,187,185,185,184,140,144,149,152,155,157,160,163,166,194,195,182,174,147,118,82,83,131,103,71,54,78,86,142,188,186,185,185,141,145,149,152,156,158,160,163,166,188,192,178,164,145,111,68,84,129,96,68,67,86,100,173,187,186,186,187,141,146,150,154,156,158,160,163,166,189,192,174,178,140,82,56,95,91,63,60,85,95,131,186,187,187,187,188,141,146,150,154,156,158,160,163,166,187,189,180,173,131,82,43,55,43,52,69,94,103,169,187,187,187,187,187,142,146,150,153,156,158,161,164,167,187,186,185,171,131,91,37,35,55,78,89,92,127,186,187,187,187,187,187,143,147,151,153,156,159,162,164,168,189,186,186,169,130,97,51,52,80,98,101,95,160,189,188,188,188,187,187,144,147,151,154,157,160,162,164,169,190,188,184,164,129,99,60,66,92,102,99,120,186,187,189,189,188,188,188,144,147,151,155,157,160,162,165,170,190,185,176,157,126,98,67,72,97,102,94,147,190,188,189,189,189,189,189,143,147,152,156,157,160,163,165,173,189,177,168,152,124,100,79,75,98,98,97,172,188,188,189,189,190,190,190,143,147,152,156,157,160,163,165,174,188,174,164,148,126,106,86,79,95,92,122,187,189,189,189,190,191,191,192,144,148,152,156,158,160,164,165,177,188,175,167,149,130,111,90,81,88,97,166,189,190,190,191,191,192,192,192,144,148,152,157,158,160,165,165,182,189,174,164,149,134,110,90,82,88,142,187,189,190,190,191,192,193,193,192,144,148,153,157,159,162,164,168,188,184,171,158,145,128,100,89,86,136,185,189,189,189,190,191,192,193,193,192,144,149,153,157,159,163,164,179,190,179,167,149,131,116,96,86,120,184,189,189,189,190,190,191,192,193,193,193,145,149,154,157,158,162,163,186,184,177,163,143,124,113,96,87,163,190,189,190,190,190,192,191,192,193,193,193
22,144,146,149,152,157,159,161,164,166,167,166,172,172,172,171,168,175,172,175,177,175,176,176,175,175,175,175,174,146,149,153,155,158,162,164,167,171,173,119,157,179,175,185,115,158,183,165,166,181,179,178,178,179,178,177,176,148,151,155,158,161,165,168,169,176,166,93,147,184,182,193,99,147,194,159,107,182,181,180,180,182,182,181,180,150,154,157,160,165,168,171,171,181,163,77,151,185,189,191,106,158,197,164,94,177,186,183,183,184,185,184,183,153,158,159,163,166,171,173,174,186,166,80,153,188,194,183,109,166,200,162,96,176,188,186,187,187,188,187,185,155,159,161,164,168,172,177,176,189,181,85,151,190,196,168,107,172,201,167,106,181,191,188,189,189,189,188,187,157,161,164,168,171,175,180,179,192,192,90,143,194,196,152,105,174,201,160,107,189,193,191,191,191,190,191,191,159,163,166,170,173,178,182,181,195,193,88,141,204,183,136,108,178,202,160,109,192,195,194,194,194,193,194,193,162,165,168,172,175,180,183,184,191,207,117,130,193,166,134,105,186,205,158,111,198,195,194,195,196,195,196,195,163,167,170,173,177,181,184,186,191,201,156,127,111,137,149,109,194,207,149,120,205,194,196,198,197,197,197,198,165,169,172,175,180,183,187,188,192,204,177,155,137,124,128,126,204,201,137,131,209,196,199,200,200,200,199,199,166,170,173,177,180,185,189,187,202,216,190,177,192,172,107,118,195,186,126,149,210,199,201,200,201,202,201,201,168,172,175,178,182,186,190,193,193,165,188,117,180,179,128,78,136,146,98,166,210,201,202,203,202,203,203,202,171,173,178,180,184,188,190,195,199,168,168,89,84,179,162,106,78,103,83,180,210,202,203,204,204,204,203,203,171,174,178,182,185,190,190,201,203,151,154,127,45,116,194,146,90,72,84,198,208,205,205,205,205,206,205,205,172,176,179,183,187,191,192,206,203,157,131,110,78,96,210,179,124,84,84,204,209,207,207,208,208,208,207,207,174,177,180,184,187,192,192,214,209,157,113,103,90,178,212,177,138,106,86,205,210,207,208,210,210,210,210,209,175,178,180,185,187,192,194,215,199,154,125,128,137,220,203,160,128,98,89,209,210,209,209,210,211,211,211,209,176,179,182,186,188,194,195,209,195,151,148,122,167,217,185,150,112,81,113,219,210,212,210,211,212,212,212,211,176,180,185,187,190,195,196,206,191,148,147,126,187,217,169,135,107,75,132,225,210,214,212,214,214,214,213,212,175,180,184,187,191,194,198,203,190,150,164,134,195,215,159,125,98,71,141,226,211,215,215,215,215,214,214,214,175,178,182,186,191,193,197,197,190,158,174,138,184,195,151,119,95,67,158,224,212,216,215,215,216,215,214,214,175,179,183,186,190,193,197,196,190,164,172,139,175,177,137,114,90,71,176,219,213,215,216,216,216,215,214,214,176,180,185,188,190,195,199,199,195,165,153,123,155,155,121,112,88,84,200,216,215,216,216,216,216,216,216,215,177,182,186,189,192,196,197,196,194,161,132,123,158,136,123,117,78,130,221,213,216,216,216,217,217,216,215,216,176,181,185,188,193,197,193,200,203,173,150,142,165,123,134,99,80,194,219,214,215,216,217,217,217,217,216,215,178,182,188,191,196,200,191,197,202,181,169,150,156,121,128,72,138,223,212,214,215,216,217,218,217,217,217,216,150,156,163,170,174,176,177,195,179,167,173,146,147,122,103,73,180,219,214,214,215,217,216,217,218,218,217,215
15,71,73,72,73,76,77,79,81,84,88,96,108,119,127,135,140,143,145,146,150,154,159,161,163,166,168,170,171,74,73,72,74,75,79,78,81,84,87,96,109,119,128,133,139,143,145,148,151,155,159,163,164,167,169,171,174,75,73,73,73,75,79,80,82,84,88,100,110,119,129,134,140,144,147,150,152,156,159,163,165,167,170,173,174,75,73,73,73,75,78,73,79,86,90,100,110,119,128,135,141,145,148,150,153,158,160,165,166,169,172,175,178,75,73,73,74,72,74,120,98,80,85,100,112,123,129,135,143,145,147,150,153,158,160,165,167,169,174,175,178,74,72,72,75,66,95,193,161,133,109,102,109,118,129,140,145,147,147,149,153,158,162,165,169,172,173,175,177,75,73,73,74,70,83,159,166,150,156,140,135,123,119,127,135,141,146,151,157,163,164,166,168,172,173,175,179,74,74,74,75,75,71,90,124,109,127,141,148,147,142,127,126,124,128,132,135,144,156,166,174,171,175,177,179,74,73,73,74,75,77,76,83,86,99,112,110,134,149,142,137,133,138,141,133,114,110,99,141,181,173,180,181,74,72,73,74,75,76,80,82,82,91,99,95,104,126,125,122,115,131,157,162,140,119,97,65,142,187,176,182,73,73,73,73,74,76,79,83,82,91,105,115,121,121,119,119,100,129,154,158,146,134,127,91,76,163,184,180,75,73,72,73,75,77,78,82,82,91,104,113,125,134,137,136,129,165,160,153,156,153,142,123,93,80,171,186,75,73,73,73,74,77,79,80,84,93,99,115,126,130,143,146,166,190,145,132,169,149,155,147,118,73,86,182,74,73,73,73,75,78,78,82,84,86,132,138,132,133,123,143,181,142,128,103,175,131,165,166,124,94,62,102,72,73,73,73,75,75,77,80,81,88,166,156,156,164,149,115,122,103,69,78,162,114,169,166,126,99,77,60,73,72,73,72,73,75,77,80,82,91,129,132,161,186,165,119,118,121,89,90,132,131,160,158,127,105,79,70,73,72,72,71,70,75,77,79,82,90,103,119,144,170,141,122,143,135,131,132,125,123,109,126,119,98,76,70,70,70,70,70,70,71,73,76,79,90,104,113,127,126,105,126,144,137,137,149,146,119,78,83,96,86,79,74,70,66,68,69,70,72,72,74,78,90,104,114,114,160,135,98,114,138,145,149,146,111,77,75,81,78,81,82,69,66,66,67,69,70,73,74,79,89,103,117,110,182,179,100,42,61,122,136,138,106,79,81,80,78,84,84,69,67,66,66,68,69,72,73,78,91,103,116,115,167,166,96,45,33,51,113,113,86,77,82,82,81,84,85,69,66,65,65,68,69,71,71,78,90,103,116,114,164,168,78,71,77,38,79,111,83,81,85,91,88,85,81,66,64,63,64,66,69,71,69,75,86,101,114,115,157,166,62,117,100,81,88,106,121,105,102,93,89,84,79,65,64,62,62,65,66,69,70,75,87,99,111,111,158,174,48,117,155,74,122,110,114,93,87,82,81,81,81,59,57,55,54,58,58,60,61,65,79,94,107,106,166,161,49,99,183,90,88,161,78,80,75,64,69,71,71,119,116,112,108,105,104,103,103,106,110,118,123,123,148,103,67,136,160,92,108,170,136,155,123,54,51,53,52,99,98,96,96,93,95,98,101,101,99,96,91,90,97,72,82,106,101,90,103,108,113,109,109,77,56,56,66,87,85,85,84,83,84,84,83,83,85,84,79,78,82,88,89,84,83,88,87,84,82,82,83,88,83,89,87
8,112,120,125,130,136,140,143,147,150,153,156,158,159,160,162,163,163,164,164,164,165,164,164,164,164,163,163,162,115,122,128,134,140,145,148,150,156,158,160,162,164,164,165,165,165,166,166,166,166,166,165,165,165,163,163,163,121,127,132,139,146,150,153,172,146,162,167,168,169,170,171,170,169,170,172,171,170,170,169,169,167,167,166,165,124,132,135,142,150,154,160,195,119,148,177,173,175,175,175,176,175,175,176,175,175,173,173,172,171,171,170,168,127,135,138,146,153,157,168,209,115,135,185,178,181,182,181,182,182,181,180,180,182,180,177,178,176,176,176,173,131,138,142,150,158,160,173,217,114,133,191,183,186,187,189,187,185,188,190,189,174,179,186,182,182,182,181,178,135,141,146,154,162,165,174,214,121,132,196,188,190,188,186,194,207,150,149,216,171,124,180,190,187,187,186,183,139,144,150,158,164,170,179,221,136,124,199,191,201,207,147,178,218,159,114,179,185,131,132,198,192,192,191,188,142,146,155,163,170,174,183,223,157,130,192,195,227,238,210,196,174,167,179,202,147,104,105,181,200,195,194,193,143,149,158,167,174,178,183,224,185,160,183,215,227,227,232,186,171,175,184,185,153,105,67,156,209,197,198,197,147,153,161,170,178,183,184,219,192,183,206,220,194,171,238,191,165,177,156,142,167,129,69,167,211,200,201,200,150,155,164,173,180,188,187,215,212,190,209,216,199,140,180,213,133,108,101,152,185,144,95,189,212,206,204,202,153,158,168,177,184,191,190,215,232,168,197,190,181,162,148,204,141,74,61,194,206,166,104,152,220,207,208,206,156,161,170,180,186,193,194,214,241,164,148,185,144,147,143,181,167,122,66,168,230,187,124,97,210,214,210,208,158,163,174,183,188,195,198,211,238,198,124,148,149,133,153,176,182,124,167,225,213,188,135,81,176,224,212,213,158,165,177,185,192,198,201,211,245,221,155,118,167,139,178,218,185,165,225,230,191,152,128,89,178,228,215,214,160,168,179,186,193,199,205,209,246,229,182,129,136,149,185,230,217,238,236,205,179,139,108,98,210,223,218,221,164,170,181,190,195,200,207,211,245,239,205,158,128,150,175,232,233,241,231,197,160,129,87,134,242,233,230,210,164,170,182,190,197,203,208,213,242,245,217,178,148,154,167,222,239,236,215,182,146,118,81,191,210,158,120,77,165,171,183,192,199,204,210,211,237,244,226,190,173,162,162,202,236,232,202,165,134,108,83,102,67,48,51,57,166,173,184,194,200,206,212,213,230,238,233,202,188,180,151,184,216,224,194,152,128,101,68,41,48,51,47,60,166,175,186,195,202,207,213,216,221,235,234,214,195,191,147,178,195,213,182,143,117,94,56,40,42,57,40,46,167,174,187,195,202,207,213,218,215,227,231,216,200,185,147,150,188,186,168,129,108,76,54,42,28,50,53,38,165,174,186,195,200,205,212,217,218,214,230,218,202,178,150,128,172,169,151,121,102,48,36,57,30,33,54,46,166,176,187,195,201,206,211,216,222,212,236,231,205,179,151,126,147,163,137,114,87,25,20,49,49,26,41,51,167,177,188,196,202,207,212,217,222,215,232,227,196,171,152,128,134,145,129,102,71,38,9,30,54,40,27,47,167,177,189,196,203,208,212,217,223,206,236,206,176,177,161,135,126,133,130,89,49,55,11,16,45,53,32,35,164,173,182,190,197,204,210,217,215,171,248,208,188,195,171,137,120,126,126,73,28,56,27,6,33,53,43,33
21,148,150,153,159,161,163,163,164,166,170,170,167,168,168,168,170,169,168,167,167,167,166,166,165,162,162,160,159,151,153,157,159,162,164,167,168,168,169,168,170,168,170,172,173,170,170,169,169,169,169,167,166,165,163,162,161,153,156,158,161,164,166,169,169,170,168,208,171,141,176,175,175,175,173,173,172,172,171,170,168,167,167,166,164,156,159,161,165,168,168,170,171,173,171,223,201,114,161,180,176,176,176,177,177,176,174,174,175,171,169,168,166,158,161,164,167,170,171,172,176,178,171,194,229,128,128,185,177,179,180,179,179,177,177,178,162,174,172,172,168,160,163,166,169,172,176,176,177,178,177,178,231,188,129,171,181,181,182,182,183,176,194,183,99,168,177,175,173,162,165,168,172,175,178,177,179,180,182,174,222,231,142,145,189,184,184,184,185,177,214,166,89,173,179,177,176,164,167,171,175,179,180,180,182,183,185,180,208,240,155,122,187,186,185,187,181,195,221,139,113,188,178,179,178,165,168,173,176,179,181,182,184,185,185,185,191,241,179,119,176,190,187,188,184,218,209,119,147,192,181,182,180,168,170,175,177,180,183,184,184,186,188,187,211,222,201,115,156,197,190,187,196,217,176,99,174,188,184,185,182,170,173,177,179,183,185,186,185,186,182,203,253,219,197,124,95,191,194,188,219,212,133,114,196,186,186,186,183,172,176,178,182,185,186,187,189,188,211,212,215,230,194,160,119,147,197,202,224,202,108,164,198,188,188,188,185,174,177,181,185,186,186,189,192,195,249,216,185,238,219,208,202,133,135,186,194,153,107,197,192,192,190,187,186,177,180,184,186,187,190,194,189,208,213,218,199,143,147,224,212,144,80,127,144,96,145,205,193,195,193,190,188,178,183,186,187,192,194,197,190,214,218,146,120,68,56,156,224,165,93,87,102,82,184,199,194,195,194,192,191,179,184,187,189,193,196,198,192,221,203,147,148,108,85,102,231,202,123,71,73,97,204,198,198,195,195,193,192,182,185,188,192,194,196,198,194,228,232,201,159,112,119,107,211,234,149,81,54,123,211,199,201,198,197,196,194,184,186,190,193,196,198,200,196,242,236,169,134,116,143,143,226,244,177,106,51,131,213,200,201,200,199,198,197,185,189,192,193,196,199,202,201,243,217,162,145,153,163,183,253,238,186,126,64,130,216,200,203,202,201,199,199,186,190,193,195,199,201,203,203,245,233,189,174,171,177,220,255,228,180,130,63,132,218,202,205,204,203,202,201,185,190,194,195,198,199,203,202,245,240,203,174,188,198,238,255,228,171,136,69,132,220,204,207,206,205,204,202,186,191,194,195,197,200,205,200,241,248,213,180,189,212,252,251,228,171,130,69,143,219,204,206,205,204,203,202,188,191,194,196,199,203,205,200,237,253,215,201,193,225,255,240,217,165,124,66,151,221,204,206,207,205,203,201,189,193,194,198,201,204,207,204,232,255,223,225,211,230,255,237,207,165,117,63,148,224,207,209,209,209,205,204,189,192,194,201,203,204,207,206,219,254,236,235,226,221,244,215,194,158,104,57,149,226,208,212,209,208,210,201,189,193,196,202,205,208,210,210,209,245,246,238,223,207,222,191,176,155,96,52,161,226,210,214,215,220,209,118,192,197,201,206,207,211,212,213,211,238,251,233,199,179,194,181,169,160,87,52,195,223,213,218,211,154,92,55,167,174,179,183,186,189,193,202,181,195,247,216,175,149,168,185,161,148,61,75,224,213,218,208,118,63,56,48
0,150,151,152,151,152,153,154,154,154,154,153,152,153,153,153,153,153,153,153,154,153,153,154,154,152,152,153,152,151,152,153,152,153,154,155,154,155,154,154,154,155,155,153,154,156,158,154,156,155,154,155,154,154,155,154,154,153,153,154,154,154,154,155,155,155,155,155,154,154,156,164,149,121,135,160,148,152,159,156,156,155,154,156,156,153,154,154,154,156,155,154,156,156,155,158,156,131,128,170,144,118,98,104,115,109,143,149,118,151,158,156,156,154,155,155,156,157,156,156,157,157,158,177,163,133,102,142,150,133,115,63,108,107,93,137,90,139,163,156,157,155,156,157,157,156,157,156,161,143,135,181,161,141,114,137,166,135,120,77,124,117,90,116,95,132,163,157,158,155,156,158,157,157,157,159,182,143,107,149,173,146,121,127,180,145,123,82,136,119,82,95,100,111,170,157,159,155,156,157,158,159,155,170,177,150,126,128,182,151,120,116,180,148,121,80,137,116,73,84,110,72,158,159,159,156,157,157,158,155,169,166,165,159,138,108,169,157,118,100,177,146,111,64,111,107,67,74,119,61,116,169,158,157,158,158,157,159,172,142,160,168,143,98,149,162,116,83,154,137,99,57,88,95,61,76,123,70,93,170,159,158,158,160,157,168,165,132,144,165,141,96,125,156,111,69,121,127,95,61,75,85,54,91,131,80,97,171,161,157,159,160,158,167,161,137,132,149,128,89,100,140,104,62,94,122,92,60,77,87,64,127,141,88,99,171,162,156,157,157,162,169,151,129,106,136,121,86,81,133,103,54,74,124,88,55,96,90,87,150,138,88,106,171,161,157,157,158,158,178,164,137,98,112,123,77,72,128,107,53,70,131,89,107,146,117,94,141,142,86,116,171,161,158,159,157,160,177,167,140,109,79,106,95,68,131,119,63,78,130,132,146,140,127,102,101,131,81,119,170,160,158,159,157,163,181,170,150,126,95,86,105,84,129,128,114,145,152,149,140,129,114,105,87,91,69,117,171,160,159,159,158,163,182,175,155,134,123,113,109,127,138,147,161,162,159,150,138,124,107,94,88,74,61,115,172,161,159,159,158,163,177,176,163,146,136,128,119,122,141,153,159,159,160,151,133,121,105,88,78,74,57,134,171,163,158,159,158,160,172,173,168,157,149,133,127,124,135,149,158,157,154,147,129,117,101,85,77,62,101,167,166,165,160,162,162,157,171,173,174,165,153,137,127,127,136,153,160,158,148,141,128,114,97,82,63,90,164,164,164,164,130,133,139,131,159,175,177,166,153,140,129,126,136,156,159,153,143,136,124,107,90,73,72,157,171,169,170,170,76,78,82,70,121,177,168,161,154,144,133,122,136,153,150,140,131,124,114,98,83,69,91,133,132,135,134,132,82,82,83,72,95,173,158,154,154,147,137,122,132,150,143,130,116,105,97,89,74,76,77,75,74,70,89,117,81,82,83,78,89,168,149,152,156,148,135,122,128,148,139,122,98,86,81,75,77,84,78,77,101,139,170,168,80,80,81,79,85,165,150,152,156,144,136,127,125,141,134,110,81,73,69,77,83,84,109,144,174,176,165,151,80,80,81,80,82,169,162,153,155,142,132,129,119,129,126,98,73,69,70,75,94,153,182,189,178,172,166,150,80,81,80,79,79,166,168,160,153,140,133,134,115,121,121,91,70,66,69,115,174,188,186,180,172,177,180,168,81,80,80,80,79,157,167,165,153,139,134,134,113,115,118,88,66,57,119,179,178,180,183,171,168,174,183,183
4,165,166,168,170,172,173,174,176,177,178,180,181,181,180,181,179,179,179,178,178,177,175,175,175,177,176,174,172,164,166,168,171,172,173,175,177,178,178,181,181,182,181,180,178,180,181,180,178,177,178,177,177,177,176,175,174,166,167,169,172,173,176,177,176,178,178,181,181,182,181,179,185,179,181,183,181,181,180,179,178,177,177,176,176,167,169,171,173,174,176,178,179,180,181,185,181,197,185,162,159,193,181,161,177,183,180,180,178,177,178,177,177,168,171,172,173,176,178,179,180,182,187,171,194,228,178,165,128,210,174,145,123,181,183,185,180,178,178,178,176,169,173,173,174,177,182,180,178,225,222,186,152,226,192,153,153,223,178,151,88,171,157,156,186,179,179,180,179,168,174,175,174,178,182,176,197,246,241,206,122,193,209,137,173,231,177,126,141,188,134,93,153,187,179,181,181,171,175,177,177,179,182,176,222,230,234,186,118,188,210,149,169,204,185,201,186,125,121,83,99,188,182,183,182,173,175,178,182,182,179,187,234,199,226,170,101,168,195,202,194,208,239,241,189,118,84,80,87,188,184,183,182,173,176,178,180,184,177,201,233,186,207,178,86,143,178,187,209,221,224,206,197,153,90,63,96,192,183,184,183,174,177,180,181,183,180,229,225,183,181,194,84,119,174,110,152,190,196,185,206,165,113,59,110,195,182,185,184,176,177,179,183,177,203,239,195,169,155,131,70,119,182,77,131,177,144,193,215,178,132,70,133,195,183,185,185,176,178,181,184,176,225,228,180,147,149,124,96,121,154,83,137,196,87,196,234,197,149,82,163,195,186,186,186,177,180,183,183,183,243,225,177,142,129,114,107,113,112,105,111,149,104,185,248,210,162,90,133,198,187,188,186,178,181,185,180,192,255,221,178,140,120,101,107,119,117,154,155,177,209,199,222,205,155,111,89,192,191,189,188,180,184,187,178,205,255,219,175,134,125,109,113,111,125,177,190,221,214,216,186,175,162,128,87,180,194,189,189,180,183,187,177,219,255,221,167,138,146,125,108,100,150,207,220,219,208,200,168,134,155,118,100,189,190,190,189,179,182,185,177,231,255,216,170,169,169,131,121,168,223,235,220,218,206,177,149,121,121,92,134,198,189,190,189,177,180,184,178,236,253,219,197,202,176,137,188,232,242,243,220,210,189,162,138,113,99,89,176,193,191,191,189,177,181,185,181,242,251,234,215,205,189,147,214,238,243,249,211,185,172,151,132,108,79,130,200,191,192,190,190,179,182,185,182,244,254,242,219,197,193,159,220,245,244,233,199,167,154,142,125,96,88,185,196,193,192,191,191,179,182,189,180,233,255,242,223,198,188,179,224,242,226,209,183,153,143,133,110,80,136,202,191,194,193,193,191,180,183,188,179,219,253,230,219,204,188,186,209,222,205,184,161,149,147,124,90,92,189,196,196,193,193,192,190,181,182,188,180,223,241,215,212,213,196,189,199,210,193,174,151,142,138,113,79,152,205,193,194,194,192,190,190,180,182,188,178,221,231,205,212,214,190,173,194,210,192,166,136,129,127,95,119,200,197,196,195,192,192,192,191,178,182,187,180,211,233,209,212,201,190,166,185,213,186,145,117,120,108,98,182,196,193,195,194,191,190,190,190,122,122,128,113,178,247,220,220,200,192,170,173,208,170,129,112,110,96,95,115,113,112,112,112,110,113,112,107,88,87,93,73,151,255,234,226,209,199,176,161,202,170,128,109,99,88,81,80,77,78,77,77,78,75,81,158
20,157,161,165,168,172,173,176,177,178,180,183,184,184,183,183,186,183,184,183,184,183,183,180,178,177,176,176,173,160,165,169,170,174,178,178,180,182,183,184,187,183,202,188,168,187,187,185,185,186,184,184,183,181,179,178,177,163,168,171,173,177,180,182,184,184,185,186,189,181,228,193,119,187,163,189,187,186,186,187,185,184,182,179,179,166,170,174,175,180,183,184,186,188,189,191,194,185,232,192,128,211,120,180,194,189,190,190,187,187,185,183,181,168,174,177,178,182,185,187,188,190,192,193,197,188,232,194,141,233,126,161,202,193,194,193,192,190,187,185,184,170,177,178,180,185,188,189,191,194,195,195,198,190,241,216,144,236,150,151,205,196,197,196,194,192,191,189,187,173,177,181,183,188,191,193,194,197,197,200,202,194,247,204,153,247,168,148,208,199,201,199,197,195,193,192,189,175,178,182,186,190,193,195,198,197,198,198,200,202,247,188,168,247,165,141,210,203,203,202,200,198,196,195,193,176,181,185,188,193,196,197,199,202,200,220,216,199,252,194,171,252,155,140,215,204,204,203,202,199,198,197,196,179,184,187,191,194,197,200,202,198,206,255,255,194,151,169,171,246,155,150,217,205,207,206,204,203,201,200,198,182,187,189,193,196,198,203,200,224,239,216,223,199,118,89,138,211,144,158,220,209,209,207,207,204,204,202,201,183,188,193,195,199,202,201,214,255,255,199,161,204,175,159,119,148,129,158,222,211,211,209,209,207,206,204,203,185,189,193,198,201,205,202,227,230,173,234,191,165,226,218,143,100,102,159,223,212,214,211,209,210,208,206,205,187,192,195,200,202,205,202,230,230,114,113,116,82,188,221,161,103,87,156,225,213,216,213,213,213,211,209,209,189,193,196,201,204,208,205,235,210,166,141,95,90,107,236,209,136,79,155,228,216,218,216,214,215,214,211,209,191,196,200,203,205,211,205,240,250,202,145,114,124,105,221,247,172,82,142,232,218,221,218,217,216,215,213,211,192,197,201,205,209,213,207,246,248,174,129,120,140,145,226,255,202,109,130,232,219,223,220,219,219,218,216,213,194,200,202,207,211,214,208,247,246,182,147,143,154,178,255,255,212,130,129,233,221,223,222,220,221,220,217,216,195,201,205,209,212,216,213,249,255,202,165,160,173,226,255,252,198,138,123,233,222,223,224,223,222,221,219,218,197,203,207,209,213,219,215,248,255,220,174,175,195,255,255,249,189,136,125,232,225,226,225,225,226,223,219,219,199,202,205,209,214,219,214,242,255,232,189,179,212,255,255,235,186,131,117,233,230,228,227,227,227,226,222,220,199,202,205,210,213,218,213,238,255,234,206,196,215,255,250,214,181,123,109,230,229,227,225,224,225,225,222,220,199,203,209,213,216,219,218,229,255,243,222,223,211,255,238,204,175,117,105,231,231,230,228,225,225,224,220,223,199,204,210,213,217,219,222,223,255,253,231,234,205,226,215,184,163,106,109,238,231,231,230,229,225,225,232,212,202,206,210,213,217,221,223,220,246,255,239,219,189,190,192,164,167,91,132,248,231,235,232,228,236,231,198,117,202,207,211,213,218,220,232,238,249,255,231,193,152,158,179,161,156,74,175,248,234,236,233,240,205,131,86,69,204,210,214,219,222,230,190,93,177,255,197,166,135,153,189,151,124,81,238,241,238,239,243,190,101,82,75,64,163,168,175,180,184,196,109,0,102,255,209,170,135,168,195,121,98,33,133,232,224,233,185,91,79,73,61,59
11,205,209,212,215,219,219,222,223,224,225,224,223,224,223,222,220,219,217,216,216,213,212,210,209,207,206,204,201,208,211,214,219,221,222,225,226,227,227,226,225,226,225,225,223,222,221,218,217,215,215,214,212,209,207,205,204,211,215,217,220,224,225,227,228,229,230,229,227,228,226,225,224,224,224,221,219,219,218,215,214,212,211,207,206,213,216,219,222,226,227,230,230,229,232,231,232,231,229,228,227,219,222,226,222,220,220,218,215,215,213,210,207,215,219,222,224,227,230,233,233,231,233,232,232,233,233,229,237,218,152,222,224,221,222,222,218,218,216,212,209,216,221,223,225,230,232,233,234,233,234,234,234,234,234,230,244,228,122,193,234,223,224,224,222,220,217,214,213,218,223,227,229,232,233,235,236,235,236,236,237,236,234,232,244,220,131,184,239,224,224,225,224,221,219,217,215,221,224,229,231,233,235,239,240,240,239,239,238,238,238,231,252,234,142,183,241,228,225,225,224,223,220,218,216,222,225,229,233,234,238,241,241,241,241,241,239,239,241,233,255,246,151,171,243,229,228,227,226,225,221,220,218,225,228,231,234,237,240,241,243,242,242,242,241,240,241,235,255,227,138,169,245,228,229,229,228,226,224,220,219,226,230,232,236,239,241,243,243,243,243,243,242,245,248,244,255,218,130,176,246,230,232,231,230,228,225,222,220,228,231,236,240,242,243,244,244,244,246,251,251,232,188,218,255,214,137,187,246,232,234,233,231,230,227,226,222,232,233,237,241,243,244,246,252,255,240,201,221,217,149,134,235,184,123,202,247,235,235,234,233,232,229,225,223,232,235,238,241,246,246,247,207,217,232,159,105,195,177,103,113,122,103,228,245,239,237,235,233,233,231,226,224,234,238,241,243,246,252,252,190,120,214,179,100,195,175,100,86,92,127,251,240,240,239,240,238,237,236,230,225,234,239,243,247,245,255,255,224,117,188,190,101,181,152,97,89,88,140,255,241,243,239,233,227,215,210,229,232,238,241,243,246,255,255,255,219,120,139,167,90,159,146,92,77,73,133,255,241,242,234,221,210,181,162,159,201,239,243,246,245,255,255,238,216,128,98,148,93,186,162,105,68,80,141,255,234,247,245,200,161,128,121,98,122,241,243,249,247,255,255,243,203,106,121,171,98,232,217,124,79,102,134,228,239,239,181,104,90,143,175,167,186,242,245,250,249,255,255,247,178,130,155,248,134,222,216,98,96,149,164,212,229,182,97,104,215,252,247,244,239,242,245,251,249,255,255,228,198,188,139,255,157,102,168,138,167,169,161,184,162,96,120,242,250,240,237,234,232,241,246,250,249,255,255,244,218,178,159,212,146,159,220,212,185,159,138,137,91,109,250,249,242,242,240,237,234,243,248,252,251,255,255,255,226,206,226,237,244,218,201,188,168,153,120,88,99,234,255,246,246,244,242,240,236,245,249,254,253,255,255,249,223,191,191,213,221,202,196,169,158,143,80,120,237,255,250,250,248,247,242,240,238,243,250,249,255,255,255,241,194,164,187,205,197,190,173,159,145,87,138,255,255,251,251,250,249,247,243,241,239,242,253,129,89,235,243,220,185,189,201,197,185,169,148,114,90,166,255,255,254,252,250,249,248,245,242,239,237,255,188,68,56,123,219,234,228,217,188,185,161,127,80,121,234,255,255,255,255,253,251,250,248,246,243,240,237,244,108,70,81,67,107,191,206,192,173,158,134,90,87,255,255,255,255,255,255,253,252,250,248,246,242,241,239
6,194,195,197,199,200,202,202,201,201,201,202,202,202,201,201,200,201,200,200,199,198,198,198,198,197,196,195,194,195,197,198,200,201,202,203,203,204,204,204,203,204,203,203,202,202,201,200,200,199,200,200,199,199,198,195,195,195,197,199,200,202,204,205,204,206,205,204,204,205,204,203,202,202,201,201,201,200,201,201,200,199,199,196,195,195,197,199,201,202,205,204,205,205,204,205,205,204,204,204,204,203,202,202,201,200,201,201,200,199,199,198,197,196,198,200,201,203,204,204,206,205,205,206,206,205,204,203,202,202,203,204,203,203,205,203,202,201,199,199,198,196,199,200,202,204,204,205,206,205,205,203,200,194,187,172,173,179,183,182,183,184,181,191,193,199,201,199,199,196,199,201,202,204,204,202,206,206,207,205,201,198,188,171,173,183,188,178,180,167,161,200,186,169,203,199,199,197,200,201,205,207,199,203,212,214,214,209,202,195,184,172,170,180,186,183,180,178,167,191,177,155,203,199,199,199,201,201,223,214,199,201,202,200,192,186,182,174,172,159,140,137,150,155,158,163,160,163,163,188,204,200,200,199,201,203,231,213,198,191,186,190,195,195,189,178,175,180,153,138,191,189,191,192,195,197,201,205,202,201,200,200,200,206,216,193,189,193,197,204,208,203,194,187,183,182,161,134,209,211,210,209,208,207,206,204,203,202,200,200,199,221,215,188,187,191,197,205,208,206,199,191,181,167,148,124,181,213,206,206,206,205,205,206,204,203,201,201,201,222,202,188,186,188,191,195,197,198,193,181,174,163,130,124,155,213,206,207,207,207,206,206,206,204,203,201,204,212,189,199,196,195,195,198,205,205,192,174,176,177,129,121,146,210,208,208,208,208,207,207,205,204,203,201,202,210,210,210,201,203,204,210,213,201,187,179,179,169,136,125,142,206,210,210,210,208,207,206,205,204,203,202,200,212,233,216,198,201,201,204,202,197,188,182,170,149,135,132,145,210,210,210,210,208,207,206,206,205,204,200,199,216,230,213,198,195,187,177,174,176,173,169,158,129,128,138,189,214,210,209,209,209,207,205,205,204,203,200,199,215,219,212,201,188,175,170,182,191,184,183,187,141,114,145,209,211,209,208,208,208,207,206,204,202,201,202,200,215,211,221,206,188,189,205,211,196,182,176,181,148,122,165,213,209,209,208,208,207,206,206,204,203,201,202,200,215,210,217,204,191,192,200,199,186,177,170,160,142,133,180,216,209,209,208,207,207,207,206,205,204,203,200,195,211,213,207,198,193,192,195,190,182,169,155,140,130,137,194,212,209,210,210,209,208,207,206,205,205,204,203,196,205,212,211,198,191,186,181,167,155,140,130,140,168,191,211,208,210,210,209,210,210,208,207,207,206,199,193,188,202,210,201,188,178,170,157,140,131,118,133,184,207,205,203,202,203,203,202,203,203,202,203,202,195,227,137,140,196,202,183,174,170,163,140,131,134,133,139,141,140,139,140,140,140,140,138,138,139,139,140,132,215,255,135,138,193,194,174,176,171,154,136,132,138,143,132,129,129,128,128,128,129,127,126,126,126,126,115,202,255,255,135,144,196,186,173,184,169,144,134,132,142,139,133,134,134,134,132,136,141,137,137,140,139,121,204,255,255,255,132,151,201,184,176,183,166,145,132,133,148,137,134,134,133,133,132,133,134,133,133,137,122,189,255,255,255,253,132,162,203,181,173,175,156,138,131,138,147,135,135,134,133,132,132,132,132,132,135,126,165,255,255,255,252,249
2,118,121,125,128,131,132,134,137,139,139,141,143,145,146,146,149,146,151,152,154,155,155,154,156,155,156,157,157,119,122,126,129,131,133,135,137,139,140,142,143,146,145,149,148,106,129,146,151,122,140,161,155,157,157,157,157,119,121,127,130,132,134,136,137,140,141,142,144,143,149,150,122,83,92,134,134,91,107,149,156,157,157,158,158,120,123,128,130,132,134,137,139,141,143,142,146,153,148,119,91,74,85,108,109,102,104,92,148,159,157,158,158,122,124,128,131,133,135,138,141,143,144,145,162,160,125,83,75,78,87,85,99,107,107,72,113,165,157,158,158,122,125,128,132,135,137,139,142,144,142,158,165,137,96,65,65,74,88,85,100,101,95,90,144,163,159,160,160,124,126,130,133,136,138,139,142,142,150,169,134,95,69,61,53,73,98,108,95,113,126,149,164,161,162,161,162,123,126,130,133,136,138,140,142,140,166,155,103,72,69,69,67,90,94,96,138,164,163,164,161,162,163,162,163,123,127,130,134,137,139,142,138,158,165,128,93,67,70,69,80,78,104,148,164,160,160,162,162,163,163,163,163,124,127,131,135,137,141,140,146,169,142,103,67,63,64,76,84,97,166,161,160,161,162,163,164,164,164,164,164,125,128,131,135,139,141,140,169,162,123,88,70,73,64,79,77,131,164,159,161,162,163,164,165,164,165,165,165,127,130,132,136,142,138,160,183,156,117,90,79,78,73,71,99,161,160,161,162,163,164,165,165,164,165,167,167,127,130,134,137,140,138,183,173,141,110,83,77,75,79,79,147,163,160,162,163,164,164,166,168,167,167,168,167,127,131,134,138,139,152,192,165,131,100,79,75,73,75,103,165,161,162,163,163,164,165,166,166,167,168,168,168,128,132,134,139,136,175,185,155,124,92,75,75,77,75,134,165,161,163,163,163,165,167,167,170,170,169,170,168,128,132,137,137,147,192,175,146,119,89,75,75,76,68,148,165,161,163,163,166,166,168,169,158,143,133,146,172,128,133,138,134,174,191,166,137,110,83,72,77,77,69,110,168,163,162,163,167,172,164,144,137,133,107,116,174,129,133,135,144,192,177,154,133,107,82,72,74,77,85,81,122,164,167,168,166,150,142,142,134,114,129,166,170,129,135,130,169,190,168,150,125,101,79,70,74,81,90,100,91,103,135,142,136,128,135,144,106,137,177,170,170,129,132,137,189,180,167,142,116,98,81,67,78,89,100,111,109,99,117,127,142,146,139,115,108,173,169,170,171,130,127,163,190,170,158,134,118,101,81,68,89,106,118,124,118,113,127,138,138,128,119,121,159,174,171,170,171,129,134,186,177,169,155,134,121,101,81,74,103,119,123,128,126,116,125,124,113,131,157,172,172,171,172,171,171,123,158,190,172,167,154,133,119,100,82,79,113,121,120,127,130,101,98,125,156,173,173,171,170,171,172,172,172,130,187,182,170,164,148,126,114,100,83,84,117,119,115,128,108,107,145,170,170,169,169,171,171,172,172,172,172,161,190,170,167,162,137,113,104,91,79,95,111,119,115,111,127,167,172,168,168,169,170,169,171,173,172,172,172,185,175,165,156,150,128,109,98,86,86,98,102,114,104,138,168,165,166,169,169,170,170,170,171,173,173,172,172,175,168,159,147,149,116,99,96,89,93,83,95,128,152,167,164,166,168,169,169,170,171,170,171,172,173,172,172,170,165,153,141,151,110,91,97,96,87,104,148,161,165,164,166,165,167,169,169,170,171,171,172,173,173,172,172
23,181,184,185,189,194,199,202,205,207,209,211,213,214,216,218,219,220,219,220,220,218,218,218,217,216,216,215,216,182,185,186,191,196,199,204,205,207,210,212,214,215,217,218,220,221,219,220,219,220,219,219,219,219,218,217,216,182,186,187,192,197,200,204,206,208,212,213,215,218,218,219,220,221,221,219,220,221,221,219,219,220,219,219,218,183,186,188,192,197,200,205,207,209,213,214,217,219,221,221,220,221,221,221,223,224,224,225,222,220,219,219,219,184,186,189,193,199,203,206,209,211,214,216,218,219,220,223,223,223,224,223,223,220,205,200,214,223,222,220,220,186,187,189,195,200,205,208,211,213,215,217,218,220,221,223,225,225,224,223,221,214,202,194,186,208,210,223,220,186,188,189,195,200,205,208,211,213,216,219,220,221,223,224,224,226,230,216,223,218,182,205,198,167,144,226,221,186,189,192,197,201,205,209,212,214,218,220,222,224,225,227,226,233,228,188,196,166,119,166,153,140,188,227,222,187,191,193,197,202,206,210,214,216,219,221,224,224,227,226,232,232,223,165,111,157,197,228,214,221,231,225,225,189,192,194,198,203,206,210,213,217,220,222,223,224,227,227,238,227,224,164,141,244,229,231,231,229,226,226,226,190,191,195,199,204,209,212,215,218,219,222,224,225,225,225,230,218,220,201,201,218,192,173,225,229,227,227,227,191,192,196,201,205,210,214,216,219,221,225,225,230,215,211,209,220,225,226,234,220,196,115,193,239,227,228,227,191,193,196,201,206,210,214,217,218,222,224,231,233,211,191,191,198,196,190,204,199,185,116,178,242,227,228,228,192,193,195,202,207,211,215,218,219,223,225,235,227,199,172,164,201,211,202,189,170,174,125,167,244,229,230,229,193,194,196,202,208,212,215,218,223,224,229,241,228,198,176,172,183,201,207,213,196,159,111,157,244,230,231,231,193,194,198,204,209,213,216,220,223,223,238,241,230,214,212,211,193,171,160,172,183,156,93,165,249,230,231,232,194,195,199,205,210,214,218,222,224,226,243,240,229,213,213,202,215,196,172,160,134,122,94,160,232,234,232,232,194,195,199,206,210,214,218,222,223,240,245,245,224,200,196,165,212,213,183,155,125,101,126,166,182,246,232,233,193,195,200,205,211,215,220,218,235,253,244,236,195,153,157,141,145,190,195,145,110,106,131,155,117,187,244,232,195,197,201,206,211,217,216,229,255,252,238,214,192,154,113,121,139,222,211,135,109,105,131,127,99,97,227,238,196,197,200,206,211,214,223,254,255,244,227,204,190,161,107,141,197,217,182,119,103,99,128,120,108,89,198,245,196,198,200,206,212,212,251,255,247,232,212,208,188,148,104,100,132,150,134,98,95,118,126,120,97,123,227,238,197,198,201,208,208,230,255,252,243,225,211,202,174,145,119,92,96,105,112,108,102,129,126,110,146,228,242,236,196,195,204,209,216,255,252,246,234,214,202,189,163,137,110,106,128,134,131,125,113,106,128,190,246,242,237,238,194,197,187,179,251,255,241,234,219,205,191,175,150,127,106,121,139,141,135,118,105,155,233,246,238,238,238,237,193,204,129,90,244,255,231,220,202,188,177,162,139,122,112,130,134,128,104,114,203,248,243,238,239,239,239,238,198,179,102,91,122,202,222,203,194,182,171,153,135,114,110,124,119,98,125,220,250,239,240,241,240,239,239,239,199,128,88,96,90,100,145,167,167,164,153,145,118,92,92,102,104,149,235,249,239,242,242,242,241,239,239,239
11,70,77,84,92,97,102,107,112,115,117,119,120,122,127,126,126,126,126,126,126,126,125,122,128,82,52,104,154,74,79,86,94,99,104,108,112,116,118,121,120,143,109,125,126,126,126,125,125,125,123,120,127,91,72,105,159,78,84,92,99,103,108,112,117,120,123,125,120,169,83,103,133,126,127,127,126,125,123,122,119,106,157,148,153,83,88,98,105,110,115,120,124,127,128,130,127,186,93,74,140,128,130,129,128,127,126,124,116,140,120,150,154,89,94,104,110,116,122,127,131,134,136,137,135,189,87,62,145,135,135,135,133,132,131,129,128,132,93,162,154,93,100,112,119,123,129,134,138,142,144,145,145,188,77,70,153,141,144,142,141,139,137,135,130,134,156,148,154,97,104,117,127,132,136,141,146,150,152,151,158,197,72,80,162,148,150,149,148,146,143,140,137,138,119,103,156,99,109,123,132,138,144,149,153,157,160,154,184,201,44,101,170,155,156,155,154,153,150,148,144,142,131,131,154,104,115,131,138,144,150,157,161,163,167,159,193,177,44,125,176,163,163,163,161,159,156,153,151,148,143,149,162,107,119,135,144,149,155,161,167,170,168,188,191,79,33,137,179,169,168,167,167,166,163,159,157,154,149,153,175,112,124,140,148,155,161,167,171,171,174,173,179,87,34,148,182,175,174,175,174,172,169,166,163,159,154,154,176,117,128,144,152,158,166,171,178,204,199,70,68,115,51,155,187,179,180,179,178,177,174,171,170,164,161,164,176,120,133,148,157,163,167,175,160,187,182,84,38,105,69,134,195,182,183,185,182,180,178,175,172,171,155,139,181,122,136,151,161,164,173,207,138,52,98,131,57,77,69,107,202,185,188,188,187,186,183,182,178,190,83,47,186,125,140,155,160,178,208,193,160,105,47,111,79,46,77,69,197,191,193,193,188,181,166,146,143,138,37,13,54,128,144,156,178,210,161,104,140,159,72,51,66,35,96,61,176,205,194,185,174,181,156,127,124,97,39,22,9,130,147,157,206,191,113,64,53,144,81,31,57,22,117,113,118,185,183,191,189,177,143,109,81,56,27,17,17,133,148,161,202,165,92,56,13,105,91,35,73,13,70,126,54,134,190,194,160,109,69,23,0,13,7,11,15,135,150,159,190,142,77,48,22,66,104,45,91,41,79,113,98,152,168,133,72,35,8,0,0,0,0,2,13,136,153,160,189,165,102,65,41,41,77,70,102,79,162,131,92,119,96,41,0,7,15,0,0,0,0,8,0,136,152,162,196,172,111,81,52,49,65,119,163,170,165,110,77,74,2,0,0,0,10,10,0,0,0,0,0,136,152,162,197,179,133,97,59,67,80,169,207,190,138,87,61,14,0,0,7,0,0,10,2,0,0,0,0,135,153,162,191,179,145,101,70,81,90,178,188,151,109,75,20,0,6,0,0,4,0,0,3,0,0,0,0,141,158,172,185,173,155,109,90,89,94,156,175,130,85,61,16,0,0,8,0,0,1,0,0,0,0,0,0,102,113,119,135,173,160,117,108,91,93,135,158,122,79,31,5,0,0,3,0,0,0,0,0,0,0,0,0,70,70,64,85,173,154,126,116,90,77,121,124,93,48,0,0,0,0,0,3,0,0,0,0,0,0,0,0,78,79,75,94,178,160,133,114,90,69,93,83,53,2,0,0,8,0,0,1,0,0,0,0,0,0,0,0,76,78,78,83,174,162,125,105,86,72,79,68,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0
7,159,160,160,161,161,161,161,160,160,160,160,159,158,158,157,156,156,154,153,152,151,152,140,71,58,48,50,72,162,162,162,163,163,163,162,163,163,162,162,161,160,160,160,159,158,155,154,154,154,152,159,91,49,35,44,61,163,164,164,165,167,166,164,165,165,165,164,163,162,162,161,160,160,157,157,156,155,154,161,116,32,25,43,49,165,167,169,168,169,169,168,167,167,167,166,166,166,164,162,162,162,160,160,158,157,157,156,150,40,13,31,43,167,168,170,169,170,169,169,169,169,169,168,168,168,169,166,165,164,163,162,160,161,157,157,161,114,57,36,56,168,169,170,171,172,170,171,172,172,171,170,168,168,156,155,161,158,151,145,149,139,157,155,155,116,118,132,118,170,172,174,175,175,174,174,173,171,172,171,172,172,150,137,160,167,151,137,140,125,167,152,138,77,139,160,147,173,175,176,176,175,176,177,177,177,182,188,187,175,153,147,153,139,140,123,121,115,113,113,146,102,153,111,131,174,176,177,178,177,174,171,182,192,195,194,184,173,163,163,154,114,113,141,127,122,111,107,111,99,125,98,162,175,178,179,178,195,185,174,177,184,183,178,175,174,174,166,148,129,121,140,136,129,131,115,91,93,128,109,164,176,180,177,192,211,194,181,173,178,181,179,178,176,172,169,145,130,122,113,103,100,98,87,81,73,86,112,152,178,179,180,209,210,195,166,156,168,180,180,176,166,153,140,119,107,98,91,97,103,111,110,116,128,136,159,166,182,180,190,216,206,186,152,154,166,155,149,140,127,119,106,92,88,155,177,168,173,175,173,174,171,171,156,100,184,180,207,214,201,180,169,164,151,141,145,149,143,138,132,140,117,81,159,180,174,172,171,169,167,165,167,106,180,189,219,210,207,203,201,173,150,156,157,155,144,134,131,126,111,51,38,165,179,174,172,172,169,167,168,153,177,206,218,213,212,212,208,168,133,146,145,140,131,125,118,107,90,61,21,136,186,174,174,172,171,168,167,167,193,218,217,214,211,207,194,158,140,126,103,87,98,113,124,130,133,70,51,166,179,176,177,174,173,171,169,166,216,219,218,214,209,199,186,167,148,129,109,109,141,161,147,134,148,94,158,185,177,177,178,175,173,172,169,167,216,218,218,213,202,194,177,154,152,155,132,142,154,141,130,122,117,82,174,184,179,179,178,176,174,173,172,169,218,217,215,210,197,175,151,158,176,164,140,139,136,127,121,113,86,73,183,184,182,180,178,178,176,174,172,170,219,216,212,204,184,169,173,190,187,168,145,118,104,90,77,63,64,142,190,182,185,182,180,178,177,176,173,170,216,209,203,192,184,186,189,183,174,150,120,89,87,102,72,119,168,190,186,186,185,184,181,178,176,176,173,172,208,200,194,191,191,191,175,164,161,141,111,89,164,196,186,196,192,188,188,185,185,184,183,181,177,176,175,174,195,194,195,189,184,183,167,163,153,117,82,165,201,191,193,189,188,189,189,187,185,184,184,182,180,178,176,173,187,184,188,182,173,168,162,148,115,74,153,203,192,193,191,191,190,190,190,188,188,185,184,182,180,177,177,168,186,181,176,165,155,152,140,113,71,140,203,192,192,192,192,190,189,190,188,185,185,185,184,182,179,183,178,157,182,173,160,143,135,126,99,73,142,202,195,195,194,193,191,191,189,189,187,186,185,184,183,179,182,160,153,169,160,147,129,113,102,86,68,144,205,194,196,195,195,194,192,191,190,189,188,187,187,184,183,182,173,68,47,113
2,118,130,136,138,142,147,151,156,158,161,163,164,167,172,174,172,178,179,180,180,181,183,183,182,183,184,184,185,121,132,138,139,145,149,152,157,159,160,165,186,202,200,186,182,183,157,134,178,177,175,183,182,182,183,183,182,121,132,138,142,147,152,155,157,170,187,197,185,160,140,109,106,125,103,74,112,120,106,167,185,182,182,182,182,123,133,139,143,149,155,156,173,219,207,155,117,99,96,80,76,79,77,79,86,78,80,166,186,182,182,182,182,126,135,141,144,151,154,177,221,199,141,82,66,70,70,69,71,67,65,83,97,114,164,184,182,181,181,181,180,128,138,143,147,153,160,221,206,124,83,66,53,68,60,58,64,71,104,164,182,187,186,185,184,184,184,183,182,131,140,144,150,156,175,234,172,90,66,62,64,72,59,70,69,157,191,189,189,189,188,187,188,185,184,185,184,133,142,147,153,157,188,231,152,87,63,56,66,62,65,69,102,197,194,192,193,192,193,193,190,193,166,182,188,136,145,149,156,159,208,221,127,70,58,58,57,53,63,64,160,202,198,197,196,198,198,194,198,196,138,183,193,140,148,152,158,161,228,210,127,87,73,71,59,59,63,100,204,201,201,201,201,201,201,199,207,167,121,197,197,143,151,155,159,174,244,206,138,98,82,69,64,77,69,143,211,204,205,205,204,204,202,201,195,134,139,207,201,146,154,158,162,201,251,202,139,94,81,65,66,75,67,174,212,208,209,209,208,210,196,188,175,108,147,211,205,150,156,159,165,211,248,198,134,92,79,64,65,67,69,179,216,211,212,212,213,207,184,188,154,95,138,215,208,152,158,162,167,212,248,193,129,93,76,65,61,70,80,133,204,207,214,218,216,194,194,187,140,90,168,217,211,154,160,165,169,208,248,193,138,100,78,65,64,82,100,98,121,141,148,180,184,189,194,181,125,131,218,215,215,156,162,167,171,212,246,194,142,104,82,66,70,98,111,110,127,147,150,136,163,192,185,149,112,207,221,218,218,160,164,170,174,222,245,194,147,110,86,66,78,105,105,113,135,154,163,161,151,176,163,108,175,227,223,222,220,162,166,172,177,229,240,194,151,120,91,69,84,105,108,134,152,162,154,150,137,137,117,137,229,225,225,225,223,165,169,176,179,229,233,193,156,127,95,75,88,110,125,153,158,154,141,127,117,104,94,212,231,227,227,227,226,167,172,178,183,229,226,190,162,135,98,81,91,112,131,147,151,140,128,113,98,89,176,236,229,228,229,229,228,170,173,181,185,220,216,187,170,144,102,92,94,111,132,137,141,132,116,100,109,198,237,233,233,231,232,232,231,173,175,184,186,214,211,192,180,148,109,101,94,114,129,133,134,124,102,122,222,241,235,235,235,235,234,234,234,175,178,186,189,215,211,198,179,143,114,107,96,120,123,126,122,104,108,218,242,236,236,236,237,236,236,235,236,178,181,189,195,225,215,195,171,140,121,112,97,114,116,109,98,111,209,243,238,238,238,237,237,238,237,237,237,180,183,190,202,235,217,202,173,141,121,109,99,106,109,87,136,224,243,240,240,240,241,239,239,239,239,239,241,181,185,191,209,236,217,209,172,136,115,105,98,104,89,133,236,243,240,241,242,242,242,242,242,242,246,242,219,183,186,193,212,225,210,195,159,120,104,98,98,96,113,224,242,243,242,243,243,242,243,243,246,232,184,124,81,185,189,195,211,212,203,193,160,114,103,105,106,88,174,241,242,244,244,244,244,244,246,226,161,102,65,55,53
8,130,132,133,133,134,134,134,135,135,134,133,133,134,131,130,130,130,128,127,126,126,125,123,122,121,118,117,117,132,133,134,135,134,135,136,137,137,137,136,134,135,133,132,132,131,130,128,127,126,126,125,124,122,120,118,118,134,134,135,137,136,141,140,139,138,138,138,137,137,136,134,134,133,132,131,129,127,127,126,125,124,122,119,118,134,135,136,142,127,94,138,141,139,140,140,138,138,137,137,135,134,134,133,132,130,129,128,127,126,123,120,119,136,138,137,143,111,50,119,146,140,141,140,140,140,139,139,137,136,135,134,133,131,131,130,129,127,125,123,120,137,139,140,140,88,45,120,149,142,142,142,141,140,140,139,140,140,140,137,136,136,132,131,129,127,127,126,123,139,140,142,139,78,45,137,147,145,145,146,144,142,141,141,139,133,123,137,135,123,134,132,131,129,128,126,125,140,141,143,133,65,48,147,146,147,148,138,145,147,145,146,146,107,70,66,122,83,121,137,131,130,128,127,125,141,142,143,139,72,45,142,149,148,122,82,84,142,119,95,107,110,86,41,77,74,96,143,132,132,130,129,127,142,143,146,142,82,40,136,153,135,110,97,64,85,100,67,46,100,100,64,36,73,67,142,134,134,133,130,128,142,145,146,137,79,33,112,159,127,124,112,84,63,101,76,53,100,98,65,26,58,44,97,144,133,132,131,129,143,145,147,142,110,66,81,161,121,124,125,92,55,92,94,59,88,81,46,21,43,65,43,121,139,133,131,130,144,146,147,147,134,89,62,137,112,108,130,97,53,75,104,56,61,83,60,20,36,70,33,99,144,132,132,131,144,147,148,150,137,90,86,103,98,84,124,94,59,51,94,60,46,105,85,33,49,73,35,123,141,133,133,132,145,147,149,151,147,127,121,94,98,74,102,98,53,35,85,71,30,95,83,26,68,67,47,141,138,136,134,133,146,147,149,150,153,142,118,89,70,68,89,95,59,34,51,50,5,17,30,41,82,53,68,149,138,138,135,133,146,147,150,150,154,143,100,75,56,46,61,102,92,53,22,18,52,60,57,99,93,38,92,151,138,138,136,134,146,148,152,151,154,140,115,95,67,56,54,101,104,65,39,64,109,112,98,91,83,27,114,149,139,139,137,135,147,149,151,153,153,151,131,102,67,54,51,88,90,61,47,99,115,111,101,64,53,32,139,143,140,139,138,137,147,151,153,154,153,148,135,104,76,63,54,75,109,106,108,129,118,102,89,58,23,83,154,141,140,139,138,138,149,152,154,153,153,146,137,113,90,69,59,76,133,140,143,134,110,91,80,41,32,144,147,143,141,140,139,138,150,152,154,155,154,144,132,114,91,68,66,86,139,133,128,120,96,80,69,22,93,157,144,144,143,140,140,139,151,152,154,154,155,140,126,119,95,72,73,95,132,125,122,108,86,74,49,34,147,149,147,145,144,141,140,138,151,154,155,155,158,146,129,124,96,80,75,99,124,124,119,97,77,65,23,94,161,145,146,146,144,144,141,139,151,153,154,155,157,155,137,130,106,88,71,95,118,113,106,86,66,42,34,151,153,149,147,147,145,144,142,139,151,153,154,155,156,157,147,132,107,89,74,87,108,99,88,69,51,14,108,162,150,150,148,147,146,144,141,140,151,154,154,156,158,158,149,127,107,87,78,82,97,89,73,58,20,74,165,153,154,151,149,147,146,144,141,140,152,153,155,156,158,157,149,124,105,91,86,82,88,85,67,42,37,153,157,155,153,152,149,147,146,145,143,141
1,186,187,187,187,188,187,187,188,188,185,185,186,184,182,180,177,177,179,175,175,175,173,170,167,175,105,28,20,186,188,190,189,190,190,189,189,188,187,186,186,185,182,182,187,176,151,175,177,175,175,173,169,177,74,23,24,189,190,191,191,192,193,192,191,190,191,188,187,186,187,170,159,184,106,145,186,179,175,175,171,177,56,29,27,191,192,193,194,195,194,193,192,192,192,189,189,188,191,166,84,140,113,101,147,151,182,174,172,177,85,28,14,193,193,195,195,195,196,193,194,195,193,190,186,181,201,163,79,105,107,99,144,91,176,177,173,183,85,22,18,194,195,196,197,198,198,195,194,195,193,194,183,123,142,152,70,125,125,99,153,76,158,183,173,184,95,13,20,195,196,199,200,199,199,198,197,196,193,201,173,95,93,159,72,126,141,78,135,72,149,186,175,183,138,75,90,196,199,200,200,200,200,201,200,199,196,202,165,87,99,149,72,97,118,80,157,82,138,189,177,181,150,156,162,198,200,201,202,202,202,202,201,200,198,210,171,98,88,122,65,96,98,83,164,91,119,192,179,182,150,146,114,199,201,203,203,203,203,203,202,202,200,215,156,94,94,123,69,122,111,79,145,85,116,195,180,182,164,145,93,201,202,205,206,205,205,205,204,203,202,211,154,91,111,142,75,108,112,75,140,83,121,196,183,183,176,156,139,202,203,207,207,207,206,207,206,204,207,217,161,119,85,113,56,81,79,97,156,96,122,197,183,183,182,162,153,203,206,207,207,207,207,207,207,204,211,205,152,100,62,63,49,76,46,97,146,93,113,199,183,185,183,178,149,205,207,209,209,209,209,208,208,206,213,197,152,128,122,103,97,75,78,107,117,68,127,202,185,186,184,184,170,207,208,208,210,210,210,209,210,205,223,210,170,162,131,184,129,126,120,146,113,52,168,197,189,187,185,184,184,208,209,210,211,212,211,212,212,208,236,199,164,134,96,154,156,158,142,134,110,78,186,194,190,189,186,186,183,209,210,211,213,214,214,214,212,215,234,187,136,109,83,62,124,152,128,141,134,81,148,203,190,189,186,185,183,210,211,213,215,215,215,216,213,219,239,195,154,124,80,64,57,92,108,171,162,99,102,205,189,191,188,186,184,212,214,213,215,217,216,217,214,223,234,193,169,119,93,86,59,149,136,144,185,126,68,178,198,191,191,189,185,214,215,216,217,217,218,218,215,225,226,193,172,104,101,72,116,197,175,144,157,138,62,124,207,189,191,188,186,214,216,218,218,218,218,219,216,223,223,201,173,99,105,83,174,199,177,154,123,112,75,98,207,191,192,189,186,215,218,218,219,221,219,221,218,223,222,203,156,110,91,112,203,197,173,137,123,89,57,135,206,192,193,191,187,217,218,219,220,221,221,222,219,224,219,196,150,131,78,138,205,184,160,126,110,86,53,187,201,194,193,190,190,217,218,219,222,221,220,220,218,218,212,189,159,140,81,157,200,169,146,123,102,59,94,212,197,197,194,191,192,215,217,218,218,217,218,217,216,212,206,185,168,146,92,159,185,154,138,119,86,43,168,207,195,194,191,191,190,216,218,219,220,220,223,227,216,211,209,183,174,143,89,148,165,138,123,104,46,97,212,198,197,196,200,203,139,218,220,220,220,226,211,191,223,203,194,186,174,112,85,123,138,116,100,59,63,198,203,203,205,192,172,120,53,217,219,220,219,234,151,54,114,159,163,158,127,78,84,101,112,91,65,37,169,214,203,186,123,71,40,30,39
7,190,191,191,192,192,192,192,191,191,191,190,190,189,189,188,187,187,185,183,183,182,183,170,98,84,74,76,99,193,193,193,194,194,194,193,194,194,193,192,192,191,191,190,190,189,186,185,185,185,182,189,119,75,60,70,87,194,195,195,197,198,197,195,196,196,197,195,194,193,193,192,191,190,188,188,187,186,185,192,145,57,49,68,74,197,198,200,199,200,200,199,198,198,198,197,197,197,195,193,193,193,191,191,189,188,188,187,180,65,36,56,68,198,199,201,201,201,201,200,200,200,200,199,200,199,200,197,196,195,194,193,191,192,188,187,192,142,83,61,82,199,200,202,203,203,202,202,203,203,203,201,200,200,187,185,191,189,182,175,180,169,187,186,186,145,147,161,147,202,204,205,206,206,205,205,205,203,203,202,204,204,181,167,191,198,181,167,170,155,198,182,168,103,169,191,177,205,206,207,208,207,207,208,208,209,214,221,220,207,184,177,184,169,170,152,150,144,142,141,176,130,184,140,161,205,207,208,210,209,205,203,214,225,228,226,215,204,194,194,184,142,141,171,156,151,139,136,139,127,154,125,193,207,210,211,210,228,217,206,209,216,215,210,207,205,205,197,178,158,150,170,166,159,160,143,118,121,158,137,195,208,212,209,225,244,227,213,205,210,213,211,210,208,203,200,175,160,151,141,131,128,126,114,108,100,113,141,183,210,211,211,242,243,227,197,187,199,212,212,208,198,183,170,148,136,126,119,125,131,139,138,145,157,166,190,198,214,212,222,250,239,218,182,185,197,186,179,169,156,148,135,119,115,185,209,200,205,207,205,206,203,203,186,128,216,211,240,247,233,212,200,196,181,171,175,179,173,167,162,170,145,108,189,212,206,204,202,200,198,196,199,134,212,221,253,243,240,236,234,205,180,187,187,186,174,163,160,155,139,76,63,196,211,205,204,203,201,198,200,183,208,239,251,246,245,245,242,199,163,177,175,170,161,154,146,135,117,87,45,165,218,206,205,204,202,200,198,198,225,252,250,247,244,240,227,189,170,155,131,115,125,142,153,160,163,96,77,197,211,207,208,206,205,202,200,197,249,253,251,248,242,232,218,198,178,159,137,137,171,192,177,163,178,122,188,217,209,209,209,207,205,203,200,198,250,252,252,246,235,227,208,184,183,185,162,172,185,171,160,151,145,109,205,216,211,211,210,208,205,204,203,200,251,251,248,243,229,207,181,188,207,195,170,169,165,157,150,142,113,100,215,216,214,212,210,209,208,206,204,202,253,249,245,237,216,201,204,222,219,199,175,147,132,117,103,89,91,171,222,214,217,214,212,210,209,207,204,202,249,243,236,225,216,218,221,215,206,180,149,116,114,130,98,147,199,222,218,218,217,216,213,210,208,207,204,203,241,233,226,224,223,224,207,195,192,171,139,116,196,229,218,228,225,220,220,217,217,216,215,213,209,208,206,205,228,226,228,221,216,215,199,194,183,145,109,197,234,223,226,222,221,222,221,219,217,216,216,214,212,210,207,204,220,215,221,214,204,199,193,178,144,101,183,236,224,225,223,223,222,223,222,220,220,217,216,214,212,209,209,199,219,212,208,196,186,183,170,142,98,170,236,224,225,224,224,223,222,222,220,217,217,217,216,214,211,215,209,188,214,205,191,173,164,155,127,99,172,235,228,227,226,225,224,223,222,222,220,218,217,216,215,211,213,191,184,200,191,178,159,141,130,114,95,174,238,226,228,228,228,226,224,223,222,221,220,219,219,216,215,214,205,94,72,142
17,170,175,176,182,187,191,193,197,200,201,203,206,207,208,207,206,207,207,205,200,207,204,205,204,204,203,201,200,172,175,178,183,189,192,196,199,201,204,205,207,208,209,209,210,206,213,215,157,193,210,205,205,205,203,202,201,173,177,178,183,189,194,198,200,203,205,207,209,209,210,212,209,219,212,164,130,179,215,207,206,206,205,204,203,175,178,181,185,191,197,199,201,204,206,209,212,212,213,214,209,228,223,174,109,176,217,208,209,207,206,206,205,176,179,182,187,192,198,200,204,206,208,210,212,214,214,215,211,223,228,200,122,183,218,209,210,209,208,207,206,177,181,183,188,194,198,202,205,207,210,212,213,214,215,215,214,219,240,217,149,194,218,212,212,211,210,209,207,179,182,185,190,195,200,203,206,209,212,212,215,217,217,218,217,222,248,224,166,190,221,213,213,212,212,210,209,180,183,186,191,197,201,204,207,210,212,214,217,217,218,218,217,224,251,226,170,171,224,215,216,213,213,212,211,181,184,187,193,198,202,205,209,212,214,217,218,220,223,221,217,236,254,238,185,151,222,217,218,216,214,213,212,182,185,188,195,199,203,207,211,213,215,218,218,201,204,224,222,247,251,234,192,145,218,220,218,217,217,214,213,184,187,190,195,200,205,209,212,215,217,222,222,190,138,214,237,214,220,227,186,141,213,221,219,218,218,217,215,185,187,191,196,202,206,210,213,214,211,224,214,190,119,153,191,173,214,224,188,135,212,224,220,220,218,218,217,186,188,192,197,202,207,210,216,223,224,226,193,185,172,137,127,178,226,208,191,140,210,226,221,220,220,219,219,187,189,193,200,204,209,210,226,240,228,245,226,221,203,150,116,176,212,199,187,144,200,229,222,221,221,220,220,188,190,194,201,206,211,212,226,238,186,216,237,222,199,181,138,131,170,180,173,137,184,233,223,224,223,222,221,189,191,195,201,206,212,215,219,231,198,140,159,191,207,205,175,127,117,143,152,132,175,235,223,225,224,223,222,189,192,197,203,208,213,217,218,233,215,163,104,136,182,220,197,165,130,117,136,124,182,236,224,226,226,224,223,191,192,197,204,209,214,217,221,244,226,238,142,133,194,232,204,182,158,118,116,110,189,236,226,228,227,225,223,192,193,198,205,210,215,219,219,253,242,199,158,162,255,236,209,188,165,114,101,100,202,236,228,228,227,226,225,192,194,199,206,212,217,221,219,255,238,188,194,228,251,233,194,187,154,112,99,111,229,232,230,229,229,228,226,193,195,199,206,212,217,221,221,255,232,216,212,255,226,223,200,169,150,114,91,166,244,229,231,230,230,229,227,193,195,201,207,213,218,222,224,250,245,217,220,255,228,221,219,174,135,110,99,218,239,232,232,231,230,230,228,194,196,201,209,213,219,223,224,246,253,218,227,249,223,206,202,164,123,103,116,236,234,234,234,232,231,230,230,194,196,201,209,215,220,224,224,240,252,222,213,230,198,185,170,132,115,96,150,247,233,236,234,232,232,231,231,194,197,203,209,215,219,225,226,235,246,210,187,202,188,171,147,122,119,98,209,246,236,236,235,234,232,232,231,193,195,202,208,213,219,224,224,235,240,184,175,193,201,181,150,131,106,137,246,237,238,237,236,235,233,232,231,192,194,201,208,212,225,166,83,203,236,215,215,201,205,192,150,129,101,196,246,237,238,236,235,233,233,231,231,193,195,202,208,218,203,124,78,157,236,219,207,201,199,189,154,118,114,226,240,238,237,237,236,234,233,232,231
24,157,160,161,163,163,164,164,164,165,165,166,166,166,167,165,165,167,166,165,165,164,163,161,164,72,0,0,0,161,163,164,165,166,167,168,168,168,169,169,170,170,170,169,168,170,169,170,168,166,165,167,144,44,0,0,0,164,166,168,169,169,171,171,172,171,172,173,173,172,172,173,172,173,173,173,172,171,168,171,147,22,0,0,3,167,168,171,172,173,174,174,174,175,175,176,175,176,175,176,175,175,175,174,174,174,172,172,165,44,0,12,6,169,171,172,173,174,176,178,178,179,178,178,179,178,178,179,181,180,179,179,178,176,175,171,181,105,0,12,0,171,173,174,177,177,179,180,181,181,181,181,181,181,182,182,182,182,182,182,181,179,179,177,177,160,21,0,0,174,175,177,179,180,181,182,184,182,182,183,183,184,183,184,184,184,184,183,183,182,182,180,177,190,73,0,0,175,178,180,181,179,176,187,184,184,185,184,185,186,187,187,187,188,188,187,187,185,182,183,180,189,133,0,0,178,179,183,183,187,123,167,191,186,188,188,189,188,189,189,188,190,190,189,190,188,186,185,184,186,169,84,83,179,180,184,184,187,112,116,201,186,189,189,190,190,190,191,190,190,191,190,190,190,189,187,186,187,173,111,171,180,182,186,187,192,138,70,185,192,190,190,190,189,191,191,191,192,191,191,195,191,190,190,188,191,170,136,192,181,183,187,189,190,166,79,132,203,187,191,190,192,194,198,194,195,200,197,167,186,194,189,191,190,186,167,128,183,185,189,189,191,188,131,73,187,195,192,192,195,185,172,200,185,158,207,140,106,189,193,191,191,188,166,95,183,187,188,190,190,194,168,94,112,201,195,189,206,188,127,178,183,87,145,180,69,161,203,190,189,179,134,99,185,189,190,190,191,194,184,154,105,144,202,188,220,215,172,127,173,111,121,192,84,162,204,188,200,172,96,63,184,188,189,189,191,193,192,170,133,119,173,197,192,222,206,113,141,150,110,180,109,160,205,191,207,121,70,144,183,186,188,188,190,191,192,187,162,173,157,171,164,188,217,138,96,157,109,189,110,133,173,190,180,65,146,206,183,187,190,190,191,191,194,191,206,191,164,139,127,124,197,165,75,116,127,186,134,65,142,183,118,95,199,185,184,187,190,191,191,192,195,194,207,207,146,124,97,80,142,177,71,102,146,159,170,76,160,145,86,173,195,188,183,187,189,189,190,192,195,196,196,213,210,154,96,104,114,162,103,95,176,99,128,154,157,96,98,201,191,191,192,196,198,198,198,199,200,202,200,212,221,210,154,94,110,145,136,76,177,105,182,176,139,72,147,202,191,191,135,140,144,149,154,159,165,171,170,189,231,220,217,138,95,145,180,142,172,194,197,138,111,97,206,205,198,194,59,58,60,63,62,63,66,67,63,87,225,211,218,183,123,109,184,234,233,223,168,125,93,81,121,120,146,169,69,70,71,71,69,69,70,70,72,57,170,213,218,208,151,118,130,215,222,189,147,111,75,87,119,158,187,203,69,67,68,67,70,71,70,72,73,65,93,214,226,211,165,127,118,184,205,164,140,82,89,209,211,201,203,215,68,66,66,66,69,70,70,72,73,76,58,172,209,173,137,112,118,152,172,143,106,66,135,172,180,199,191,199,67,69,68,67,68,68,69,72,71,75,58,138,206,150,143,130,125,141,153,127,73,85,191,150,139,168,181,182,64,66,67,69,69,69,69,71,71,72,61,117,208,178,174,154,139,143,150,114,56,101,186,169,105,128,163,179
21,182,184,185,186,186,186,186,188,188,188,189,190,186,180,189,187,188,188,187,186,185,184,184,182,185,108,41,37,185,186,187,188,189,189,189,190,191,190,189,192,204,143,179,193,189,190,189,189,191,187,185,188,165,94,53,43,187,189,189,191,191,192,192,192,192,192,192,194,209,134,163,199,191,192,193,183,167,192,188,192,163,71,55,57,190,191,192,192,193,195,195,194,195,195,195,198,211,134,149,204,195,194,201,186,122,191,190,193,170,87,64,75,192,192,194,195,196,196,197,197,197,197,197,199,216,142,140,206,197,195,207,182,116,193,194,192,195,107,63,73,193,194,196,197,197,198,199,199,198,199,199,199,223,158,139,206,200,197,210,175,121,194,197,194,199,141,66,65,195,196,197,199,200,200,201,200,200,201,202,200,227,170,138,204,203,201,215,172,127,196,198,195,200,181,74,54,196,198,200,201,201,202,202,203,202,202,203,200,226,180,140,195,208,203,222,177,132,201,200,199,197,202,100,55,198,201,201,202,203,204,203,204,204,203,206,202,231,197,148,181,211,206,223,176,133,203,202,201,198,204,155,150,200,201,202,204,204,204,205,206,205,205,207,203,231,211,151,176,212,211,229,173,131,206,203,202,200,203,155,193,201,203,204,205,205,206,207,208,207,207,209,197,205,218,146,175,214,218,223,162,138,212,205,204,203,201,174,200,201,202,203,206,207,208,208,208,209,207,226,203,172,186,161,156,214,222,207,151,150,215,205,206,205,205,196,158,202,204,206,207,207,208,208,208,210,208,234,228,198,153,186,115,182,217,197,141,165,218,207,207,207,207,201,150,203,205,206,207,208,208,209,209,209,212,211,234,222,184,192,125,114,171,171,129,184,216,209,208,207,208,205,186,204,205,206,208,209,209,210,210,210,214,189,182,232,190,183,169,131,118,135,110,190,216,209,209,208,208,209,204,205,206,207,209,209,209,211,212,212,209,217,185,206,195,155,192,177,125,108,102,185,219,210,210,210,208,208,207,204,205,207,207,209,209,211,211,213,215,234,199,140,183,142,168,186,141,102,96,186,219,211,211,210,210,208,207,204,206,206,206,208,209,210,210,226,230,219,163,110,128,175,142,175,166,120,90,189,217,210,210,210,209,208,207,204,206,207,208,208,209,209,214,232,201,181,172,133,87,144,110,156,199,142,98,201,217,211,211,209,208,208,207,205,207,208,208,209,211,211,213,228,198,171,182,141,101,81,135,180,215,172,111,170,220,211,212,210,209,209,208,204,206,207,208,208,210,210,211,224,208,186,177,169,120,106,214,202,207,189,138,125,218,213,212,211,209,208,209,210,213,214,215,214,215,217,218,225,225,193,142,170,136,158,236,215,199,177,144,139,219,213,212,211,209,209,209,158,161,165,168,171,176,179,182,226,227,191,138,167,153,204,238,206,191,161,118,152,225,216,218,217,213,209,207,111,111,113,113,112,113,113,113,217,232,185,158,176,165,233,230,203,182,156,115,125,145,140,140,146,158,182,202,120,121,121,120,119,120,122,114,202,230,189,181,190,174,240,229,200,175,142,117,111,113,130,157,181,202,216,224,119,119,118,119,120,120,123,112,170,231,208,205,200,162,223,220,184,161,125,114,181,197,205,219,221,215,216,228,119,119,118,119,120,119,121,118,131,218,219,208,196,160,193,206,161,134,110,123,222,219,195,186,202,210,208,215,119,118,118,119,121,120,120,122,115,201,215,191,174,150,156,182,143,118,106,139,178,189,209,173,171,190,204,213
4,179,181,181,182,184,185,186,187,187,187,187,187,187,188,187,188,186,187,188,187,187,187,189,188,187,186,185,185,181,181,183,185,186,187,187,188,188,188,188,188,187,187,188,190,193,190,188,189,191,190,188,189,188,187,187,188,183,184,186,188,188,188,188,188,189,190,190,191,193,193,187,168,159,182,183,158,160,193,193,190,192,190,189,188,186,187,188,188,189,190,190,191,190,190,191,181,176,182,202,193,164,137,143,171,145,123,180,196,193,193,191,191,187,188,188,190,191,192,193,193,193,194,194,192,174,139,142,201,187,139,84,115,155,95,117,206,191,193,193,193,189,190,191,192,192,193,194,191,191,181,195,202,187,146,95,133,191,135,92,63,127,103,98,202,193,195,195,194,191,192,192,193,194,194,193,195,192,144,121,153,193,153,97,61,174,151,109,55,115,127,98,198,198,196,195,196,192,194,194,195,195,193,197,194,194,148,88,74,175,177,114,48,144,195,141,66,109,157,106,196,199,197,197,197,192,195,196,196,197,195,198,170,166,156,120,53,151,201,114,87,155,192,148,87,83,143,128,204,198,198,198,198,193,195,195,197,199,197,199,177,117,157,158,76,105,183,119,80,111,146,140,84,71,97,83,191,203,199,199,200,194,196,197,198,199,198,202,184,149,146,148,95,80,104,102,93,89,106,114,82,89,116,90,128,211,199,202,201,195,197,199,199,200,199,204,198,178,147,114,88,86,97,92,103,107,99,94,84,146,155,142,105,180,209,201,201,198,199,200,200,201,200,206,197,167,147,120,102,104,108,110,124,126,129,140,136,150,176,162,119,116,212,202,203,198,199,200,202,202,201,206,193,155,131,117,105,117,126,145,154,167,184,200,195,169,162,139,107,76,177,211,202,198,199,201,203,203,202,206,197,165,140,124,114,131,133,166,195,179,195,195,190,179,156,126,94,74,138,219,202,199,201,203,205,204,203,205,210,181,152,127,120,129,137,187,194,185,193,192,186,170,152,126,97,72,159,215,203,200,202,204,205,205,205,203,209,191,164,138,120,129,146,190,195,194,200,197,184,172,154,122,91,87,201,209,206,201,203,204,205,206,206,204,208,204,176,148,123,145,147,182,198,205,208,203,191,172,140,115,80,131,220,207,209,202,204,204,205,206,207,205,207,210,187,156,135,157,157,174,201,210,211,215,202,165,129,108,79,178,217,208,209,203,204,205,206,207,209,206,203,207,202,160,143,159,165,181,202,213,217,219,194,152,128,94,98,213,211,211,209,204,205,206,207,209,210,209,199,197,202,171,149,159,163,185,205,209,220,204,169,139,124,80,141,224,210,212,211,206,206,206,207,209,209,212,195,192,202,185,160,154,161,182,204,202,201,179,153,132,111,77,191,218,210,212,211,206,206,207,207,207,208,213,202,187,201,193,175,162,165,178,194,196,178,161,140,116,85,127,223,212,212,212,211,206,206,206,207,208,209,211,211,188,186,188,181,171,168,167,172,175,158,140,115,90,92,206,216,214,214,214,213,203,205,205,206,206,208,208,213,194,181,188,178,172,167,155,154,163,148,123,100,69,154,224,211,213,214,214,213,204,205,205,206,207,209,209,214,196,187,183,171,165,161,146,142,150,137,101,89,78,199,217,213,213,213,213,212,206,206,207,208,209,209,209,212,200,187,173,149,155,154,147,146,140,122,97,80,104,218,213,215,214,213,214,213,206,206,208,209,209,209,210,213,203,188,181,160,173,170,160,150,137,121,105,73,129,223,213,215,215,214,213,213
1,120,124,129,133,137,140,142,144,147,147,149,151,153,153,152,153,152,153,152,151,150,151,151,148,146,146,144,144,121,127,131,136,139,141,145,147,149,150,152,154,154,154,157,156,157,133,140,154,151,151,151,149,148,147,147,146,122,128,133,138,140,142,146,147,151,154,155,154,156,159,132,145,172,106,86,169,151,152,152,150,149,148,147,147,124,128,135,139,142,145,147,150,153,156,156,156,157,174,93,112,177,102,75,143,150,155,153,153,152,151,148,148,127,131,136,141,144,148,150,153,155,156,158,157,169,173,82,123,169,88,80,100,100,164,153,153,154,153,151,150,128,133,138,142,145,149,153,154,155,158,161,154,131,152,75,137,166,78,108,125,70,162,155,155,155,154,152,152,129,134,140,143,146,150,154,154,157,158,168,153,69,124,86,148,177,92,121,127,63,157,159,157,156,155,154,153,131,137,142,145,148,151,154,156,161,159,175,135,55,121,95,143,161,88,130,129,59,154,163,159,158,157,156,155,131,138,143,147,150,153,155,158,162,160,176,119,46,102,77,121,147,77,145,142,67,155,164,161,160,158,157,155,133,138,143,148,151,154,157,160,161,165,179,109,51,119,76,137,149,77,150,134,68,153,164,161,161,159,159,158,134,140,145,149,152,156,159,162,162,172,174,98,58,141,70,144,146,73,160,131,68,156,165,164,163,161,160,159,136,141,147,149,153,157,161,163,162,178,179,101,41,99,40,125,106,72,172,133,75,161,167,165,163,163,162,160,136,142,147,151,155,158,161,165,162,184,172,104,82,97,85,126,129,102,132,129,74,164,168,167,166,164,164,162,136,143,148,152,156,159,162,165,167,190,166,125,101,153,162,167,170,141,78,101,78,168,167,168,167,165,163,163,137,144,149,152,156,161,163,163,178,189,142,108,74,87,141,134,166,176,117,50,69,174,168,168,168,168,166,165,138,145,150,153,158,161,164,162,188,184,136,92,74,61,84,80,167,194,160,68,64,179,169,168,168,168,166,166,138,145,151,154,158,161,164,164,195,179,125,90,86,83,102,142,155,177,162,96,78,179,169,170,169,169,167,167,139,146,151,154,159,163,165,168,198,171,129,92,97,93,131,184,169,150,118,92,57,159,176,170,170,170,169,169,137,145,150,154,159,163,164,171,200,172,138,107,104,110,165,190,162,137,99,65,51,162,177,172,171,171,169,169,138,145,150,153,157,161,163,170,199,173,133,110,106,119,182,196,157,123,90,51,50,172,173,171,171,170,169,168,139,145,151,154,158,162,164,170,196,175,138,128,108,117,185,194,148,112,82,40,69,181,172,172,171,170,169,168,139,146,151,155,158,163,166,168,192,179,151,149,115,108,189,176,138,97,69,35,139,181,173,173,173,172,170,169,140,146,150,155,159,163,167,167,187,183,157,154,114,116,183,158,130,89,48,62,181,174,174,174,174,171,170,169,139,144,150,154,159,161,166,167,191,187,158,144,102,123,167,133,117,77,31,110,185,172,173,172,170,169,168,168,140,147,152,159,165,167,172,168,192,179,153,128,98,127,142,118,100,63,43,166,185,180,180,179,177,177,175,174,109,112,113,114,118,122,117,141,199,172,154,127,109,131,126,115,90,50,56,127,125,126,126,128,128,128,127,125,77,74,73,74,73,76,66,159,198,173,162,129,128,125,107,99,67,40,58,63,63,63,63,64,59,59,57,55,86,84,85,87,87,84,95,193,175,153,151,139,125,102,92,79,43,50,78,76,76,74,74,74,74,72,72,73
15,87,87,88,88,91,93,94,96,100,108,119,128,136,141,146,151,153,156,159,162,165,169,171,173,174,177,179,180,87,87,87,88,90,92,93,95,100,109,119,128,136,142,147,151,153,156,159,162,165,169,172,173,175,178,180,181,88,87,87,88,89,99,111,104,102,109,119,129,137,143,148,152,154,156,160,164,166,170,173,174,177,180,182,183,88,87,87,87,88,123,158,141,122,116,120,129,137,144,150,154,156,157,160,164,167,170,174,176,178,180,182,182,88,87,87,87,89,125,167,163,151,142,136,135,135,140,146,151,154,156,160,164,168,171,174,177,179,180,182,183,88,88,88,89,90,103,134,141,141,147,148,148,144,140,138,140,143,148,153,159,164,169,174,178,179,181,183,184,87,88,88,88,90,93,102,110,115,127,135,140,150,149,144,141,141,144,145,142,141,145,155,173,180,182,184,186,87,88,88,88,90,92,94,98,103,112,118,121,137,143,141,137,140,151,157,148,132,120,115,145,176,183,185,186,88,88,88,89,91,93,95,96,101,111,119,123,131,135,134,129,132,153,162,159,144,129,109,110,154,181,185,187,87,88,88,89,91,93,94,96,101,111,121,130,137,141,141,137,143,162,163,162,155,146,128,110,119,162,184,188,87,88,88,89,90,92,94,96,101,110,122,131,138,145,150,153,168,170,156,160,165,157,148,128,106,121,167,187,88,88,89,89,90,92,94,96,101,116,136,140,142,143,147,163,172,158,137,155,165,160,165,143,113,97,127,173,88,88,89,89,90,92,94,96,101,131,157,155,158,154,142,146,144,124,112,143,153,158,172,151,120,97,95,130,87,88,88,88,89,91,93,95,101,128,150,159,175,171,145,130,129,112,101,131,140,155,167,150,124,102,88,91,87,86,86,87,89,91,92,95,100,114,131,147,168,165,144,139,141,133,126,133,135,140,145,138,121,102,88,84,86,86,86,86,88,90,91,94,100,111,124,136,147,143,136,145,149,146,148,148,136,116,110,115,109,97,88,83,85,84,84,86,87,88,89,91,99,111,122,129,142,148,129,132,141,150,156,156,136,106,93,97,97,94,91,86,83,83,83,85,86,86,88,90,98,110,121,129,152,176,133,99,98,127,146,149,130,102,92,93,93,94,95,92,82,82,83,83,84,86,88,90,98,110,120,128,152,177,133,83,64,83,119,134,118,100,95,95,94,95,97,95,82,82,83,83,84,85,87,89,98,110,120,128,149,170,125,82,77,70,92,118,108,98,97,99,99,98,97,95,82,81,82,82,83,85,86,89,97,109,119,128,147,167,120,91,96,87,99,115,122,111,108,106,103,100,97,94,80,80,80,80,81,83,85,87,95,107,117,127,146,168,113,102,119,107,125,119,128,118,110,105,100,97,95,92,78,78,78,79,80,81,83,85,93,105,116,126,148,166,105,113,147,106,140,143,122,105,101,93,91,91,91,90,88,87,88,88,87,87,89,91,98,108,118,126,142,142,100,125,151,105,140,158,134,124,118,87,77,79,78,79,119,118,116,114,112,112,114,115,117,119,122,125,130,121,108,131,133,113,138,150,147,148,140,101,76,73,74,76,108,106,105,104,103,104,106,107,106,106,104,103,105,103,104,111,110,107,113,115,115,115,113,102,86,85,90,93,103,102,101,100,100,101,101,101,100,101,101,99,100,101,102,103,102,103,105,104,103,102,103,103,101,105,111,108,104,103,103,102,101,102,103,102,102,104,105,104,104,105,104,103,104,105,106,105,105,105,105,107,106,113,129,120
8,155,159,162,165,166,169,171,173,174,175,177,178,178,178,179,178,178,178,178,177,176,176,176,174,173,173,172,171,157,161,164,166,168,170,172,174,176,178,179,179,180,181,181,180,180,179,180,179,179,178,177,177,176,174,173,172,158,162,165,167,170,171,174,177,177,179,180,181,181,182,183,182,182,181,181,181,181,179,178,178,177,176,175,175,158,163,166,169,172,173,175,178,181,181,182,183,184,184,183,183,183,183,183,183,183,181,181,179,178,177,178,176,161,165,167,171,173,174,183,168,164,187,183,184,184,184,184,184,185,184,184,184,184,183,182,181,180,180,179,178,162,166,169,172,175,174,193,163,126,185,185,186,186,186,186,186,186,187,186,186,185,184,183,184,184,182,181,179,163,168,171,173,176,174,192,173,111,170,190,186,188,188,188,188,188,188,187,186,186,185,185,185,184,183,181,180,164,167,171,174,176,175,190,189,111,157,193,188,190,189,188,190,190,189,189,188,188,188,186,185,185,184,184,184,165,168,172,176,178,179,184,187,116,141,197,189,191,192,194,190,190,191,193,189,188,188,188,188,186,185,185,184,166,170,173,176,179,182,182,198,150,125,194,192,190,176,171,194,191,165,161,195,192,193,188,189,189,187,185,184,166,170,173,177,179,182,182,201,167,111,179,194,205,190,149,166,208,169,121,158,166,164,192,189,190,189,187,187,168,171,174,177,179,184,183,197,173,129,150,198,218,216,172,124,201,178,171,129,129,122,143,198,189,189,189,189,169,172,176,179,181,186,185,194,197,159,142,187,214,222,193,122,163,181,178,167,145,143,116,177,194,189,190,189,169,174,177,179,183,187,189,190,203,157,152,180,185,212,196,132,132,176,146,186,188,189,176,122,175,195,189,189,172,176,178,181,185,187,190,190,200,184,172,197,187,188,197,137,109,159,107,159,184,190,183,119,149,202,189,191,172,176,179,183,185,188,191,189,207,215,169,168,182,167,196,156,106,131,110,119,164,191,182,121,143,203,191,192,173,177,181,184,186,189,191,189,208,196,144,148,158,141,177,203,136,106,104,115,183,206,191,123,139,204,191,192,174,178,182,185,187,189,192,191,205,205,167,146,140,135,151,167,129,118,98,121,189,210,192,124,140,205,192,195,173,178,182,185,188,189,193,192,208,220,186,151,140,142,129,158,169,131,115,165,191,211,183,121,127,204,194,196,174,179,183,186,189,189,193,191,213,217,187,161,134,125,133,186,194,172,181,198,186,187,158,114,113,201,196,196,176,180,184,187,190,190,195,192,215,216,193,176,153,125,136,180,200,218,210,194,173,154,136,101,133,204,195,196,177,181,184,187,191,192,195,193,217,216,195,182,166,136,131,175,218,221,214,191,162,131,115,93,180,201,196,196,177,181,185,189,192,194,196,194,214,217,201,184,176,149,144,184,223,217,200,180,151,118,88,133,206,197,198,197,177,181,185,188,190,193,196,196,209,220,207,193,185,160,146,197,218,202,180,160,134,104,92,189,202,200,198,197,175,180,184,186,189,192,195,196,203,219,210,196,188,168,149,197,207,185,165,141,121,87,138,207,197,199,198,196,176,180,184,187,190,193,196,196,201,220,214,198,183,159,146,188,188,174,159,132,106,94,195,202,200,198,198,197,177,180,185,189,190,193,196,197,202,222,208,189,169,142,148,181,166,154,148,128,84,152,210,199,200,199,199,198,178,182,185,189,191,192,196,194,203,223,201,185,157,149,156,173,156,141,137,106,111,205,201,200,201,200,200,198
21,188,192,197,201,203,205,208,210,211,213,213,215,216,216,217,214,213,213,212,211,212,210,209,209,207,205,205,204,188,193,198,203,204,208,210,212,213,213,216,217,218,219,217,217,219,215,215,213,212,211,210,210,209,206,206,205,190,194,198,203,205,209,211,212,214,216,218,220,221,218,227,184,184,224,217,217,216,214,212,211,210,210,209,207,192,196,200,204,207,211,212,213,215,219,221,221,222,221,245,164,135,228,218,218,216,216,214,212,213,211,210,208,192,197,203,206,209,213,215,216,218,221,223,223,220,225,241,164,149,228,219,220,218,215,217,218,215,213,213,212,194,198,203,208,210,212,216,218,220,222,223,224,220,233,239,160,153,230,220,221,219,189,159,217,217,215,214,213,196,201,204,209,213,214,218,220,221,222,223,226,223,238,239,161,161,232,221,221,215,173,127,213,219,217,215,214,197,202,206,211,215,217,220,221,222,224,226,228,226,240,234,163,164,233,222,221,211,163,144,226,219,219,217,215,196,200,206,211,214,217,220,222,224,227,227,229,225,244,230,161,158,236,224,220,204,147,170,232,221,221,219,216,197,202,207,212,215,219,221,223,226,228,228,230,226,250,230,159,154,236,225,218,199,139,202,229,222,221,220,219,199,204,210,216,217,220,222,224,227,229,230,232,228,255,231,151,168,240,218,211,176,144,227,226,224,223,222,220,201,206,211,214,218,221,223,226,229,229,229,228,236,255,211,139,184,238,213,211,144,166,235,225,224,224,224,222,201,207,211,214,218,222,224,227,228,237,211,176,203,231,175,123,189,234,222,196,131,207,234,227,225,225,224,223,201,209,213,216,220,223,225,229,227,239,209,155,144,139,135,116,198,230,222,166,145,235,229,229,228,227,226,224,202,208,212,216,221,224,227,229,235,232,225,203,180,133,111,137,182,200,195,135,184,242,229,230,230,228,227,226,204,210,214,218,222,225,230,228,249,255,243,255,220,168,111,127,144,161,155,128,220,238,231,232,231,230,229,228,205,210,214,220,223,227,227,239,232,230,238,254,208,149,121,116,129,138,128,152,242,234,234,234,232,232,230,229,205,211,215,221,224,228,227,249,201,190,224,196,201,160,131,118,113,127,115,187,248,235,235,235,234,233,230,230,206,210,216,221,226,230,228,253,230,195,164,133,210,188,142,123,112,118,117,210,247,237,237,236,235,233,232,233,206,211,217,223,226,229,233,253,216,166,141,116,185,208,161,132,121,118,111,210,247,237,238,237,236,235,233,233,207,212,218,223,228,228,239,255,206,188,184,148,215,228,180,159,128,123,111,208,250,237,237,238,238,237,235,233,207,213,218,224,229,226,247,255,217,210,172,194,255,230,186,175,136,126,118,216,250,240,240,240,238,237,236,235,207,213,219,225,229,228,249,255,240,198,179,255,255,215,178,172,143,130,123,221,250,242,241,240,239,238,237,236,209,215,220,226,230,229,248,255,241,191,202,255,247,210,174,160,148,131,135,234,249,243,243,242,241,239,238,238,207,213,220,225,230,228,248,255,213,208,205,255,242,215,195,150,140,131,148,246,246,243,243,244,241,240,239,238,204,212,219,222,226,227,243,242,210,234,195,255,243,206,193,156,137,129,165,250,243,244,243,242,239,237,237,237,206,212,219,223,227,229,237,232,247,242,201,255,227,192,170,149,140,128,179,252,244,245,243,242,241,238,239,237,205,213,220,224,228,231,233,237,250,226,194,240,212,178,151,139,137,125,197,253,244,246,244,242,241,239,239,237
17,105,106,107,109,113,115,115,118,119,118,120,121,122,123,125,126,126,127,127,128,129,128,128,128,127,128,129,128,106,107,108,112,114,114,116,118,119,120,122,123,123,125,125,127,127,127,128,128,129,129,130,131,130,131,131,130,106,108,111,114,116,116,117,119,121,121,123,124,125,127,127,127,128,130,129,129,131,130,131,131,131,132,133,132,108,109,113,114,116,117,119,120,121,123,124,124,126,127,129,128,130,132,131,131,133,131,131,133,132,133,133,133,107,110,113,115,116,119,120,121,122,124,125,126,127,129,129,131,132,131,128,135,132,132,134,134,133,134,134,133,108,111,113,114,118,120,120,122,124,123,126,128,128,128,131,131,131,135,114,93,95,88,138,134,135,135,135,135,110,111,114,115,118,120,122,123,124,126,127,128,128,130,132,132,131,141,136,77,48,68,138,135,136,136,135,136,111,112,115,118,119,120,122,124,126,129,129,130,131,132,132,133,133,141,145,96,42,75,145,135,137,136,135,136,112,113,115,118,120,121,123,125,127,128,129,131,132,129,136,134,134,137,151,115,52,94,147,136,137,136,136,138,112,114,117,119,120,122,126,126,126,128,129,128,134,116,100,139,135,139,151,114,66,121,143,139,139,137,137,138,111,115,118,119,121,123,125,126,127,128,130,132,140,126,83,91,137,151,147,107,69,130,142,140,140,139,139,138,112,115,118,120,122,124,126,127,127,132,122,103,134,141,128,109,88,117,140,110,68,129,144,140,140,140,139,139,113,115,119,121,123,125,127,126,131,154,121,75,114,140,153,141,94,54,105,103,69,128,145,141,140,140,140,140,113,117,120,121,124,126,129,126,140,127,131,105,104,91,127,156,124,63,68,87,64,126,145,142,140,140,141,141,114,117,121,122,124,125,128,126,148,118,90,95,65,34,73,170,140,84,52,66,55,126,146,142,142,141,142,141,116,118,119,122,124,126,129,130,145,108,78,93,72,60,73,166,154,106,53,57,50,123,147,142,143,142,141,142,115,118,120,123,125,128,128,136,150,125,110,100,80,101,88,155,158,116,66,53,51,117,149,142,143,143,142,143,115,118,121,124,125,128,126,145,142,108,102,96,91,110,133,155,140,122,75,48,47,119,149,142,145,144,143,143,117,119,121,123,127,129,128,152,131,105,96,97,104,122,176,154,123,112,73,44,41,121,151,144,145,145,144,144,118,119,121,124,127,129,128,158,133,112,98,98,106,159,169,150,120,101,68,43,42,131,149,146,145,145,145,145,117,120,121,125,126,128,132,162,136,122,100,99,131,174,155,144,112,95,63,41,58,149,145,145,144,145,145,145,117,119,123,126,128,126,138,163,137,128,113,100,149,171,151,142,105,84,61,35,94,154,144,145,145,145,143,144,117,119,123,126,130,128,143,169,140,137,128,108,153,160,144,137,107,73,54,43,133,149,145,147,147,146,145,145,117,120,125,127,129,128,140,172,147,141,135,118,139,154,141,130,102,71,43,79,155,145,146,146,148,147,146,145,118,120,125,128,130,130,135,170,154,137,128,126,130,144,136,138,98,66,40,109,154,144,145,146,147,146,146,146,118,121,125,128,130,133,132,165,150,137,123,125,133,133,134,139,99,64,44,126,152,147,148,148,148,147,147,147,118,121,124,126,129,131,135,163,147,138,123,123,133,131,134,131,91,61,63,148,149,148,148,148,148,148,148,147,118,119,122,126,130,130,138,166,157,139,129,131,138,125,131,118,80,50,103,156,146,148,148,148,148,148,148,147
16,128,130,130,134,140,144,148,151,155,158,160,162,165,167,167,169,170,172,175,173,174,175,175,175,174,173,173,174,128,131,132,134,140,145,149,152,156,158,159,163,166,168,172,174,176,176,179,181,180,178,174,175,177,176,175,175,128,130,131,134,140,147,151,154,157,159,162,167,168,165,155,146,138,134,133,139,151,170,184,180,176,177,176,177,130,132,132,136,141,147,151,155,158,157,154,147,134,123,108,93,80,77,77,65,54,61,108,156,184,176,178,179,130,130,131,136,143,146,151,148,159,126,123,111,106,108,101,90,80,65,62,64,49,26,24,33,105,184,179,178,129,130,133,140,142,151,166,167,180,136,125,106,97,104,96,86,79,70,55,58,60,38,32,29,16,109,190,177,131,132,134,140,139,158,186,182,180,149,127,101,86,90,89,87,75,76,61,55,53,39,38,34,38,23,151,188,129,131,135,140,141,151,175,186,181,144,121,85,75,76,75,82,76,70,69,58,52,44,39,33,41,22,64,196,131,132,134,140,140,159,174,193,180,141,100,72,55,62,65,73,74,68,75,70,49,46,49,38,28,41,17,149,130,132,135,140,140,160,179,194,170,130,72,53,29,46,67,78,85,78,82,79,53,44,54,33,31,44,22,63,130,132,136,140,145,152,181,193,159,103,56,51,11,0,68,83,104,100,101,86,58,49,58,33,34,42,41,12,132,132,134,141,146,145,182,188,141,86,46,33,0,0,35,76,102,131,130,102,59,52,60,35,34,42,47,30,132,132,134,139,146,147,176,175,120,78,37,21,11,0,19,52,107,144,131,102,58,54,48,35,36,38,44,44,130,131,135,140,145,149,166,152,100,69,26,32,31,27,33,20,131,137,108,93,66,55,38,38,39,40,42,46,127,129,132,137,141,147,158,137,81,42,15,40,36,29,18,41,147,118,102,88,64,40,39,38,38,43,44,47,126,130,133,138,143,150,170,128,57,41,3,25,31,55,103,139,135,100,97,75,41,29,38,41,40,43,42,43,130,130,134,140,143,152,170,120,50,78,61,84,136,175,174,146,106,94,84,52,25,31,37,43,45,44,43,41,129,130,134,140,143,153,179,116,37,138,175,175,178,177,160,133,85,72,61,54,30,33,38,42,48,47,45,45,128,130,134,140,142,154,172,99,43,160,170,170,173,175,163,115,76,42,76,80,40,39,39,43,48,46,48,47,126,129,134,139,141,155,165,67,64,174,168,170,172,175,166,113,59,50,135,102,62,49,42,44,46,46,48,49,126,130,134,138,140,155,154,45,90,175,166,169,172,174,170,125,29,96,177,118,84,59,48,43,46,48,50,52,123,126,130,139,136,168,143,32,125,171,166,169,173,177,167,138,39,123,194,130,103,75,57,48,47,47,47,50,123,127,132,135,127,187,106,42,147,156,159,161,161,165,155,135,68,99,186,134,117,90,71,56,51,50,50,54,72,72,75,77,71,110,63,47,76,76,77,82,83,84,84,84,69,65,82,83,125,103,84,70,63,56,52,55,62,60,60,63,61,60,61,59,60,63,61,61,63,60,61,62,60,58,55,53,108,116,97,81,70,63,57,55,66,68,68,68,70,69,68,67,70,72,74,71,70,71,70,70,70,68,70,58,89,130,106,90,79,72,65,61,66,67,67,68,70,68,65,68,69,69,70,69,67,69,69,67,74,79,77,71,75,131,118,99,87,81,73,67,68,68,67,67,69,68,67,69,68,68,68,67,67,69,68,67,68,67,69,70,65,127,130,113,101,91,77,69
5,74,80,87,94,101,107,112,116,117,122,126,128,131,135,137,137,150,127,130,150,149,150,151,151,151,152,153,151,75,81,88,95,101,108,114,116,119,124,125,132,135,136,139,139,170,107,102,155,149,152,152,152,153,154,155,154,76,82,89,97,103,110,115,119,122,123,134,127,134,140,137,156,161,74,118,156,150,153,154,155,156,156,156,156,77,84,91,98,106,110,116,121,123,125,168,99,113,149,136,178,123,63,143,156,152,155,156,157,156,156,157,157,80,86,91,100,107,110,120,123,120,141,160,77,120,147,152,184,93,85,160,154,155,159,159,158,158,159,159,159,80,87,93,98,115,131,102,126,116,166,125,67,140,141,182,151,77,120,164,157,159,159,160,160,160,161,162,161,81,87,94,95,131,145,75,125,123,180,109,84,144,160,175,96,80,152,159,158,158,160,159,164,162,163,163,162,82,87,95,96,136,163,74,122,137,156,87,107,147,180,152,75,103,166,155,161,183,168,121,157,166,164,164,164,83,88,96,99,131,199,93,105,151,137,81,126,155,187,142,86,134,164,169,182,174,185,124,144,171,165,166,166,83,88,97,106,115,206,162,118,141,146,106,123,171,172,119,92,151,170,196,152,137,186,96,153,171,167,168,168,84,89,98,108,105,189,216,185,143,131,111,113,160,141,104,115,172,186,148,90,135,178,78,147,176,169,170,170,86,90,100,109,112,134,204,213,173,121,96,91,108,105,110,150,180,173,124,73,157,172,80,115,182,170,172,172,84,90,101,109,119,117,149,219,177,131,91,79,81,84,107,156,144,130,94,104,178,155,93,87,177,173,174,174,85,91,102,110,119,127,120,209,189,139,110,84,80,79,95,126,125,94,78,158,186,170,106,89,175,175,176,175,86,93,103,111,120,126,121,206,201,151,130,96,76,77,85,105,107,69,130,178,185,177,115,98,180,177,177,177,87,94,104,113,122,127,125,212,210,166,145,107,77,76,82,105,123,129,158,157,184,175,110,103,183,177,178,179,87,94,105,115,121,129,124,207,214,178,149,105,76,72,88,128,156,165,161,133,140,171,105,113,187,178,179,180,87,95,106,115,121,130,124,202,221,181,150,113,82,69,106,154,162,159,152,125,106,121,89,121,189,179,181,182,88,97,108,118,122,131,122,186,220,180,159,126,91,92,120,150,154,147,136,111,91,90,74,138,188,179,183,183,88,98,109,118,124,131,123,170,217,185,163,132,96,96,133,140,142,123,119,99,87,77,118,179,183,184,185,185,88,99,109,117,125,132,124,172,224,188,150,121,97,82,115,121,121,103,100,90,79,129,184,183,185,185,185,186,89,99,110,118,125,135,122,177,219,168,129,103,90,85,99,108,104,90,85,81,144,188,181,183,186,186,186,186,88,100,111,119,126,136,122,185,210,160,126,96,96,99,92,100,90,81,76,144,189,181,184,185,186,186,187,186,89,101,112,120,129,129,147,192,198,171,136,98,105,109,88,87,80,71,140,188,181,185,186,187,188,187,188,187,90,100,112,122,123,150,211,209,180,150,128,106,106,100,80,77,59,121,187,180,184,187,187,188,188,188,188,189,90,100,112,118,135,200,212,213,198,171,116,96,94,90,78,70,68,173,184,181,186,188,189,188,188,190,189,190,90,100,111,117,189,204,206,195,185,182,163,126,91,77,69,57,86,187,179,182,185,187,189,189,190,190,190,190,89,102,104,157,208,197,197,181,177,162,163,154,114,84,78,67,67,155,181,181,183,186,187,188,189,189,189,190
4,101,117,132,138,145,150,154,157,160,163,166,169,171,174,177,178,182,180,183,185,185,186,188,186,187,188,188,189,101,120,134,140,147,151,155,158,161,165,169,170,174,177,176,180,179,184,186,187,191,189,189,189,191,190,191,190,104,122,134,141,147,152,157,161,163,166,167,170,164,170,185,188,157,145,182,176,173,193,191,191,192,192,193,191,106,125,136,143,149,153,159,164,164,161,178,210,171,148,185,206,153,97,141,168,105,135,197,192,193,194,195,194,108,126,137,144,150,154,159,164,171,179,154,178,209,150,135,192,138,92,94,144,112,81,182,199,194,195,197,196,109,129,139,146,151,155,161,160,201,197,165,133,152,141,105,151,124,83,96,146,112,70,174,202,195,197,198,198,112,130,140,146,152,156,157,177,215,206,182,153,97,101,97,172,141,67,144,152,93,71,193,199,197,199,200,199,115,132,140,148,153,158,156,197,181,170,176,127,89,78,94,181,139,122,173,126,64,94,206,200,199,201,202,201,117,133,143,149,154,159,159,210,161,155,163,94,75,86,66,116,149,190,167,144,93,118,214,199,201,202,203,202,122,134,142,149,155,158,168,217,176,175,150,100,60,116,133,151,170,168,146,156,132,121,204,203,202,204,203,204,123,136,141,149,158,157,182,209,158,142,135,105,46,149,170,153,153,129,147,175,154,124,140,210,201,208,206,206,126,136,142,152,158,154,195,198,151,123,108,74,48,70,115,117,110,75,146,183,174,158,107,160,215,205,209,209,125,138,144,153,159,159,220,203,162,138,115,90,66,58,65,72,100,147,151,174,186,163,129,98,193,211,209,209,129,138,144,153,157,167,233,194,166,151,115,92,78,91,124,154,192,206,188,177,162,154,142,99,148,220,208,210,132,139,145,155,155,179,239,202,185,154,113,107,91,131,184,204,212,204,182,167,141,127,132,96,157,219,209,211,133,139,145,156,152,194,239,206,181,141,120,117,108,174,205,212,215,210,179,153,127,108,105,109,203,211,212,212,133,138,146,158,153,199,238,202,169,140,136,122,137,196,202,210,213,196,165,141,119,103,89,169,219,211,213,212,134,139,146,157,152,201,234,195,172,161,155,138,166,196,201,206,200,175,152,127,112,88,122,218,212,214,215,215,135,140,148,156,155,198,226,200,192,182,164,157,186,193,200,193,177,162,135,119,103,90,196,219,214,216,217,218,135,140,149,157,157,186,226,210,202,182,161,155,179,187,184,171,156,144,122,111,87,152,224,213,214,217,218,218,136,141,150,158,159,175,222,203,195,179,155,138,157,169,168,158,141,128,115,93,113,215,214,216,215,217,217,218,136,143,152,158,163,171,218,195,180,167,147,139,150,163,161,143,124,116,101,90,190,219,215,217,218,219,218,219,136,143,152,158,164,167,209,181,167,157,141,149,145,155,158,137,119,109,80,159,222,213,217,217,218,219,220,220,137,143,152,159,162,178,210,183,170,163,165,169,144,137,145,124,111,89,116,216,214,217,218,219,220,220,220,220,137,144,154,158,168,221,190,177,181,170,168,157,137,126,132,116,104,82,181,220,214,218,219,219,220,220,220,221,138,145,154,154,208,219,215,134,149,179,159,144,132,117,117,110,98,80,200,217,216,218,218,219,220,221,221,223,138,148,149,176,228,209,217,200,93,137,146,133,125,104,108,103,90,83,205,216,216,218,220,220,220,222,223,223,139,147,151,217,213,212,210,222,173,76,114,127,113,89,101,96,88,81,203,219,217,218,220,222,222,223,224,225
22,7,40,57,57,61,63,65,75,88,97,102,104,107,110,113,115,119,119,120,125,125,124,125,124,124,125,124,123,6,44,57,58,61,65,66,76,89,98,103,105,108,111,114,117,119,120,125,110,120,127,127,128,125,126,125,123,9,49,57,59,62,66,67,78,90,100,104,107,108,112,116,120,120,122,137,74,100,133,122,116,129,127,126,125,12,52,58,59,62,66,68,79,91,100,105,108,111,112,118,121,119,128,138,71,106,137,108,77,130,127,128,127,16,53,58,61,64,67,69,80,92,101,104,121,122,74,119,122,120,138,138,69,114,144,99,79,134,129,128,128,21,55,58,61,64,67,70,81,94,104,105,123,113,58,114,125,121,146,133,71,123,150,94,90,138,131,130,130,26,58,59,62,65,67,71,82,95,104,108,117,119,64,105,129,123,143,120,72,132,149,88,106,138,132,132,131,31,59,59,62,66,68,72,85,95,105,111,114,122,71,92,131,126,136,108,69,138,144,77,117,139,133,134,134,35,59,60,63,66,69,73,86,97,106,112,113,124,84,78,129,129,132,98,72,152,125,68,129,139,136,136,135,39,60,60,63,67,68,73,86,99,107,112,111,124,90,60,119,132,120,91,75,157,107,75,139,137,137,138,137,44,61,61,64,67,69,74,88,99,108,113,111,125,115,68,103,129,107,77,88,157,91,85,143,137,140,139,138,48,61,61,63,66,70,74,89,99,107,113,112,125,137,80,78,115,106,92,132,144,77,98,146,138,140,140,140,53,61,61,63,67,69,76,89,100,108,113,124,103,110,69,69,101,122,146,150,124,68,114,146,140,141,141,141,56,61,61,64,66,69,76,90,100,108,118,133,101,90,72,85,106,136,153,143,112,66,129,145,142,143,142,142,58,61,62,65,67,70,77,89,99,109,116,121,134,134,102,62,83,119,136,137,110,65,136,145,143,143,143,143,59,60,62,64,68,69,77,92,101,110,116,130,143,149,99,66,65,89,108,117,97,64,137,147,145,144,145,144,60,61,62,64,67,70,77,92,102,112,113,144,132,115,106,92,69,69,76,79,85,62,129,150,146,147,146,146,61,61,62,64,68,71,78,92,103,112,114,143,130,105,118,113,91,73,68,60,72,60,121,152,147,148,146,146,63,62,62,64,67,70,78,93,102,112,113,146,142,117,109,119,111,102,82,59,60,58,119,154,148,150,149,148,62,62,61,64,66,70,79,93,103,114,114,146,148,124,111,156,121,112,85,64,62,57,120,155,149,150,150,149,62,61,61,63,67,69,79,93,105,114,115,137,159,119,127,174,125,103,82,69,68,60,126,156,150,151,150,149,62,62,62,64,66,70,80,94,104,114,116,129,154,110,136,161,126,101,83,76,68,63,135,155,152,152,151,151,62,62,62,63,66,71,81,94,104,114,117,123,141,114,132,148,130,111,84,74,70,66,136,155,152,153,153,153,63,62,63,65,67,71,82,95,105,113,118,121,133,130,133,140,125,105,84,72,70,67,136,156,154,155,155,155,62,61,62,65,67,70,83,95,106,114,118,120,127,139,126,127,118,88,78,72,69,61,133,159,155,155,155,155,63,61,61,63,67,69,83,95,106,115,117,119,127,135,117,110,114,82,78,75,68,53,124,161,155,156,155,155,62,60,60,62,65,69,82,94,105,114,116,120,128,128,104,109,128,115,97,77,69,52,102,161,152,155,155,154,61,59,59,62,64,68,80,94,105,113,116,120,126,131,131,137,136,125,113,84,65,54,73,153,153,155,155,154
4,214,217,218,219,220,220,222,223,222,222,225,224,224,226,226,225,224,223,224,225,224,224,224,223,224,225,223,222,217,219,220,221,221,223,223,224,226,225,225,225,227,227,227,226,228,231,226,227,227,227,227,227,226,227,226,225,220,221,221,223,225,225,227,226,227,227,226,225,225,228,232,218,190,202,232,229,231,227,229,229,229,228,229,229,222,222,223,225,227,227,228,228,227,226,230,209,189,203,255,229,188,132,220,236,231,236,229,232,230,228,229,231,225,224,226,228,228,229,228,230,231,235,255,228,216,173,254,244,203,152,162,204,188,203,239,232,234,230,233,233,227,228,228,230,232,231,230,229,217,222,255,255,216,177,209,255,198,164,102,193,186,135,209,241,234,236,235,235,228,230,229,233,235,232,232,243,235,221,182,247,238,188,177,255,208,162,95,199,200,143,131,247,237,239,238,238,229,231,233,234,236,231,240,255,250,236,147,151,246,179,146,255,220,158,88,198,204,151,106,233,242,240,240,240,231,234,234,235,236,233,246,235,227,216,136,120,205,175,141,207,189,131,90,206,200,144,101,232,246,242,242,242,233,236,237,238,238,236,247,236,203,216,131,99,204,188,158,160,139,91,85,203,177,113,116,244,245,243,243,243,234,236,238,240,241,236,242,246,191,204,154,106,183,204,198,178,178,143,97,157,144,101,121,253,243,246,245,244,235,236,239,239,243,241,242,255,236,189,169,112,125,220,231,233,218,197,138,101,121,98,140,255,244,248,246,247,238,238,241,242,244,243,244,255,239,197,144,95,88,177,224,232,231,193,140,91,99,90,165,255,245,247,247,248,238,240,243,245,246,241,247,255,214,166,144,120,95,81,151,213,217,185,145,109,96,88,183,255,247,249,249,249,240,242,245,245,244,241,251,252,208,169,141,119,100,97,103,137,193,192,169,124,102,81,188,255,247,251,250,249,242,243,245,246,245,243,253,255,227,186,154,134,119,110,137,116,191,226,190,144,114,80,200,255,250,252,252,250,242,243,245,246,247,245,255,255,226,170,140,133,120,106,145,195,241,246,222,173,131,84,188,255,251,252,252,252,243,245,245,246,247,246,255,255,216,176,149,132,141,125,175,244,255,250,242,190,145,105,136,255,251,255,254,254,245,245,247,248,250,249,255,253,220,179,158,145,171,139,210,255,255,247,219,179,146,112,139,255,253,255,255,255,245,245,247,249,250,250,255,251,222,183,169,172,170,159,238,255,255,241,211,163,141,102,171,255,255,255,255,255,246,247,249,250,250,250,253,249,219,192,180,178,165,167,247,255,244,215,196,146,124,95,209,255,255,255,255,255,247,249,250,250,251,252,251,245,213,188,167,192,162,168,247,255,226,191,175,134,112,106,244,255,255,255,254,255,246,249,252,251,254,254,249,240,219,188,193,215,157,169,254,249,211,176,153,123,107,137,255,255,255,255,255,255,247,251,251,251,255,255,252,234,220,200,191,214,167,169,255,219,193,162,135,118,97,188,255,255,255,255,255,255,247,249,249,251,253,255,253,240,226,205,187,207,171,176,240,200,177,142,124,116,101,234,255,255,255,255,255,255,247,246,248,248,251,251,244,255,239,207,187,183,162,156,226,190,154,134,119,109,122,255,255,255,255,255,255,255,247,248,248,249,252,241,246,255,237,203,183,161,138,148,197,164,133,125,119,96,181,255,255,255,255,255,255,255,247,249,250,252,253,237,255,255,235,218,189,147,142,163,191,130,132,117,110,126,250,255,255,255,255,255,255,255
13,109,112,120,127,133,136,141,145,147,150,152,154,157,158,159,159,160,160,160,160,160,159,160,159,158,156,153,155,111,113,121,128,135,138,142,146,148,150,153,155,157,159,159,160,161,160,160,162,163,162,161,160,160,158,155,155,112,114,121,129,135,140,143,147,150,152,156,157,159,161,162,160,162,162,163,165,165,164,162,162,162,159,157,158,113,116,124,130,136,140,144,149,151,155,158,156,159,158,160,166,164,164,165,166,166,164,164,163,162,161,160,160,113,116,124,133,138,142,147,150,153,155,157,159,204,178,114,146,170,163,167,170,166,166,165,164,164,163,161,160,113,117,124,133,139,144,147,150,153,154,155,172,245,216,137,107,176,171,139,141,171,166,167,167,167,164,162,162,114,119,125,133,140,146,149,152,150,168,162,155,236,220,168,104,128,151,113,58,148,174,167,169,167,165,165,163,114,119,126,132,140,147,149,145,174,221,162,122,174,183,147,64,104,100,70,40,103,180,166,169,168,167,167,166,115,119,128,134,141,142,167,148,182,231,179,117,143,168,127,61,118,79,44,36,96,182,168,170,170,169,169,167,117,122,130,137,138,156,226,157,111,205,204,138,97,177,176,157,141,104,40,16,103,184,171,171,170,169,168,167,118,123,131,140,132,194,230,177,113,147,212,153,64,77,169,176,154,157,114,22,123,184,172,172,171,170,169,168,119,122,131,138,140,199,208,194,135,93,196,158,94,0,62,113,149,174,177,94,131,186,172,174,175,172,171,169,116,121,128,133,144,204,184,191,146,75,150,182,109,12,7,36,133,204,205,170,89,160,177,172,171,169,170,169,115,120,129,129,163,228,182,180,165,86,79,188,115,19,13,125,175,175,179,169,93,99,185,172,173,171,170,169,117,122,131,127,208,223,169,148,163,109,33,152,147,83,148,203,182,174,145,120,122,69,164,178,175,173,172,171,118,124,133,127,215,225,183,131,125,158,70,111,200,212,206,181,169,162,128,97,103,72,157,179,174,175,173,171,116,122,131,128,220,232,197,179,149,155,179,201,221,220,188,168,166,134,108,84,65,109,181,175,175,175,174,171,113,121,129,130,224,237,209,195,177,157,188,217,217,210,177,149,139,116,101,61,72,168,177,174,173,173,172,170,117,125,133,130,215,237,217,194,176,159,180,211,211,190,157,127,114,113,81,60,153,187,181,181,178,176,176,176,95,97,104,90,182,237,219,202,180,167,184,208,189,151,134,121,118,96,60,68,111,107,107,104,102,102,101,101,58,58,65,45,117,235,216,205,184,176,181,200,175,134,115,124,110,74,59,55,49,47,47,46,45,44,42,42,68,71,72,65,84,220,208,203,186,169,170,197,177,123,100,104,81,61,61,62,63,60,58,57,56,55,55,54,68,69,71,72,67,199,199,203,194,171,164,191,171,104,85,82,63,59,62,59,60,61,60,57,57,57,56,54,72,72,71,74,59,179,202,209,204,181,156,183,168,101,82,69,59,64,63,60,59,60,60,59,58,58,56,54,73,76,74,77,56,163,212,219,215,193,152,171,173,108,77,59,59,66,62,60,59,59,60,57,57,58,55,54,71,74,74,79,61,132,225,223,216,191,152,161,174,110,71,53,59,67,64,61,60,61,59,56,59,58,56,47,72,74,72,73,69,92,215,209,186,169,150,153,164,111,71,50,61,66,63,62,61,65,59,56,59,59,46,134,72,73,74,75,74,72,202,205,163,160,165,143,151,116,72,49,59,66,64,62,61,66,59,56,59,48,103,214
12,151,155,159,161,163,165,167,169,169,169,170,170,170,170,170,169,169,170,170,168,167,167,166,165,165,164,162,160,153,156,160,162,164,166,168,170,171,171,171,172,172,171,171,174,173,170,171,169,169,169,168,168,167,165,164,163,154,157,160,163,165,167,170,171,172,173,172,171,173,176,171,157,167,175,172,175,172,171,171,171,169,168,166,165,154,158,160,164,167,169,171,171,173,173,179,166,139,160,186,153,120,159,168,149,171,174,172,172,170,169,168,168,155,158,161,164,168,170,171,173,175,172,197,196,167,129,151,197,153,105,131,132,120,175,174,173,172,171,171,170,158,161,163,166,169,172,174,175,173,185,196,195,190,146,92,165,171,107,78,138,104,132,182,173,174,172,171,170,159,162,165,169,171,173,175,177,171,204,173,172,192,137,86,142,159,107,71,110,112,85,177,175,174,174,173,172,160,163,167,169,173,176,176,174,179,154,124,179,175,122,78,150,147,98,78,114,102,85,178,176,176,175,174,173,162,165,169,170,175,175,177,198,189,127,86,131,160,137,72,137,172,113,79,134,104,99,185,176,178,177,175,173,164,167,170,173,174,181,203,200,190,142,90,86,165,140,60,141,187,111,89,172,107,127,187,176,177,177,176,175,165,169,173,174,179,205,179,167,196,153,91,52,132,126,40,91,176,98,79,158,113,166,183,179,178,178,176,176,168,171,176,175,195,203,174,147,180,143,92,52,63,71,54,87,110,113,119,130,86,159,188,179,180,179,177,176,170,173,176,180,195,175,150,113,157,143,95,56,59,62,133,188,153,150,133,119,99,111,191,180,181,181,179,177,172,176,178,177,198,178,154,105,131,145,92,60,66,109,167,180,172,149,119,96,109,90,174,186,182,182,180,178,175,177,181,177,200,184,159,123,110,140,117,69,89,155,178,173,168,150,117,97,92,87,180,186,182,182,181,179,176,180,182,185,204,187,168,143,103,121,136,76,149,186,182,175,172,135,111,98,66,120,196,185,183,182,180,179,179,183,182,193,208,193,174,148,123,106,108,126,186,186,189,186,159,119,107,88,68,176,190,185,187,189,190,185,180,184,184,197,205,198,182,153,142,129,116,159,174,182,191,177,138,113,106,67,109,203,194,195,179,158,125,90,182,185,186,193,199,201,186,161,154,142,125,160,160,188,188,160,128,108,97,68,174,182,145,108,72,56,51,45,184,187,190,187,200,202,188,168,165,150,130,167,163,185,179,142,118,101,83,83,111,65,49,41,43,44,47,55,187,188,193,188,195,196,185,171,166,152,137,159,179,165,156,126,107,94,75,48,40,39,45,42,45,40,38,51,189,192,195,192,189,196,186,174,162,152,143,148,169,154,133,116,98,88,53,30,39,48,37,36,44,46,32,39,189,192,196,193,185,200,186,173,161,150,137,138,158,145,123,107,93,74,53,26,30,49,43,29,35,47,41,31,191,193,197,193,188,198,179,164,155,149,132,139,151,137,107,98,83,53,59,37,19,36,49,35,27,39,45,35,194,197,200,193,189,197,166,150,153,144,131,142,142,123,96,85,51,28,50,51,19,21,41,45,27,27,41,41,195,197,201,193,187,206,167,158,165,154,141,143,132,111,93,69,45,21,36,53,31,12,28,43,39,22,32,43,196,198,206,180,176,208,175,176,181,155,139,138,124,105,88,49,45,26,25,42,42,12,16,34,45,32,25,39,197,197,213,148,144,210,187,194,183,146,140,141,121,102,79,48,37,35,17,31,46,20,9,26,42,40,26,28
18,174,174,174,175,175,176,176,176,176,176,176,176,176,176,175,174,175,175,176,176,175,174,173,172,170,170,169,167,174,175,176,176,176,176,177,177,177,177,176,177,176,175,176,176,176,176,176,176,175,173,173,174,172,170,170,170,176,177,178,178,178,178,177,177,177,177,177,177,177,178,177,176,177,178,176,178,175,173,173,174,173,171,171,170,178,178,178,178,179,180,179,178,177,177,178,178,179,178,177,178,177,183,172,168,178,175,174,174,173,172,172,171,178,179,180,180,179,180,180,181,179,178,179,179,177,179,180,179,177,200,173,141,166,178,176,175,176,175,173,172,180,181,181,180,180,181,180,181,181,181,182,179,192,193,168,175,200,208,191,152,154,175,173,177,175,174,173,174,181,181,182,181,181,182,182,183,180,182,181,193,214,195,164,149,187,200,204,193,194,184,147,147,176,173,174,176,181,182,182,182,183,182,184,181,186,203,175,189,214,189,170,143,185,184,205,204,203,191,149,110,161,178,175,176,183,183,183,184,184,183,180,186,214,208,172,150,208,186,163,148,196,174,175,198,207,187,143,104,136,181,175,175,182,181,183,184,182,184,180,211,220,208,178,151,208,191,161,147,199,184,148,201,216,189,136,101,125,184,177,177,184,184,184,184,185,181,197,218,217,212,182,148,205,197,163,151,204,181,155,214,218,188,132,96,137,187,176,178,185,187,186,187,185,186,218,203,208,217,188,150,199,194,162,141,185,167,154,217,215,180,127,94,162,185,178,179,186,187,186,188,185,205,217,198,197,202,183,144,172,180,157,118,139,133,173,220,203,167,121,108,184,181,181,180,187,187,187,185,194,220,204,175,179,174,146,116,140,159,129,86,150,182,204,213,192,158,112,144,189,181,182,181,188,189,190,187,197,220,206,176,159,157,128,98,154,156,108,162,214,212,199,188,180,148,112,174,187,182,182,182,189,190,192,185,206,220,206,186,152,144,129,91,167,146,178,220,214,207,184,166,166,132,110,182,185,186,184,183,189,190,192,189,215,219,208,191,171,147,138,128,124,177,220,216,214,201,172,151,146,112,136,194,184,186,184,184,191,192,191,193,220,219,211,197,182,159,148,148,171,220,218,218,209,187,157,139,132,96,158,194,186,187,186,185,192,192,190,197,220,219,215,205,194,169,165,181,213,220,217,214,203,173,145,131,111,116,187,189,188,187,187,186,192,193,190,197,220,219,218,210,201,185,178,196,216,217,211,204,195,163,136,124,97,165,196,188,189,188,188,187,191,192,190,195,220,219,220,214,203,189,184,192,216,211,202,200,173,154,126,105,115,193,190,190,188,189,189,187,192,192,192,194,219,219,219,211,199,188,186,189,207,200,190,191,163,138,114,91,158,196,189,190,188,189,188,189,192,193,192,194,219,219,215,205,193,183,183,188,198,187,180,179,160,122,99,106,191,191,190,190,191,189,188,195,192,194,191,195,220,206,197,195,184,175,177,182,196,182,172,165,140,106,81,153,200,191,192,190,190,189,190,156,195,195,195,202,220,206,199,197,187,186,179,181,201,172,154,140,115,79,108,195,192,192,191,192,195,198,149,98,154,148,137,172,213,208,205,199,199,204,176,179,196,154,132,116,84,83,185,195,192,192,196,192,173,142,106,97,116,115,110,113,119,120,123,125,132,147,136,150,157,130,112,94,66,158,203,199,199,199,170,127,106,94,89,83,132,107,107,109,104,99,93,88,79,75,75,78,78,73,69,68,62,87,105,127,167,166,98,100,103,97,91,82
0,163,164,166,166,166,166,167,167,167,167,166,167,167,166,166,166,166,165,165,164,165,165,163,162,162,162,161,161,166,167,166,168,168,168,168,167,167,167,166,169,168,168,168,167,166,166,167,167,165,167,165,162,162,164,164,162,167,169,170,170,170,171,170,170,168,170,170,169,168,169,170,172,168,168,168,170,167,162,155,167,164,165,164,164,170,172,172,170,171,172,172,172,171,171,172,172,171,171,155,139,161,166,145,133,164,168,107,163,166,165,165,165,171,172,171,171,172,173,174,173,173,173,163,146,164,183,159,122,100,153,142,119,103,150,119,121,175,165,165,166,171,172,172,173,174,174,174,173,174,188,167,127,134,185,160,143,97,147,149,140,97,88,156,105,137,168,169,167,171,173,173,175,174,174,177,154,147,193,171,150,135,182,161,150,95,152,153,136,106,60,138,139,106,112,171,167,172,174,174,175,173,180,192,168,125,164,188,154,127,189,168,145,84,159,151,116,112,44,92,155,134,77,148,174,174,175,176,177,174,189,190,181,159,123,191,159,115,184,172,140,82,131,138,98,98,34,103,166,148,92,132,178,175,177,176,176,182,182,180,188,165,104,169,168,109,159,172,127,80,83,112,90,80,36,138,170,151,94,123,180,174,175,176,175,182,169,135,160,140,90,133,153,102,115,140,102,85,53,78,96,70,58,150,165,145,91,114,181,175,176,177,176,179,183,145,149,118,73,105,128,92,79,110,90,71,42,111,149,129,124,143,153,139,86,111,182,176,178,180,179,183,193,165,154,120,86,91,111,92,62,91,106,103,144,171,159,150,140,122,128,132,91,101,182,178,180,181,179,188,189,162,141,125,101,69,119,119,51,97,167,181,183,170,156,143,131,116,106,116,97,96,180,179,180,181,177,195,203,184,165,142,111,87,114,113,119,176,191,184,175,165,152,139,125,107,98,102,89,109,182,181,180,182,179,196,206,190,169,149,143,143,139,158,187,192,184,179,168,160,148,132,115,99,94,97,82,152,181,181,182,183,180,201,211,192,171,156,151,150,163,177,182,188,184,171,166,152,137,126,107,94,99,84,129,183,177,181,182,185,183,202,215,198,183,171,162,163,175,182,186,186,175,167,162,143,130,116,100,97,86,101,183,180,179,181,182,184,181,200,215,205,190,175,166,165,176,186,184,178,165,157,152,135,120,106,99,94,81,159,185,179,179,182,183,185,183,194,214,211,199,178,165,159,164,170,166,167,153,139,139,120,109,105,96,80,141,186,180,181,181,184,184,186,186,187,208,206,194,179,164,157,162,165,168,165,149,132,129,111,103,96,89,141,185,180,182,183,181,185,185,186,187,184,195,195,180,169,153,156,162,157,166,159,145,136,124,108,90,91,158,187,183,182,183,183,182,185,186,187,187,187,192,180,177,172,163,174,166,144,161,158,139,126,115,96,77,157,190,182,183,183,183,184,183,186,187,188,188,188,191,188,194,186,177,175,168,137,151,157,134,117,107,72,119,194,183,186,186,185,185,184,183,186,187,187,187,187,193,204,201,191,168,167,163,131,149,145,128,114,95,73,165,192,185,187,186,184,185,185,185,186,187,188,188,188,186,211,201,189,160,163,159,136,142,132,125,112,83,85,185,188,187,187,186,185,186,186,185,187,187,188,188,188,182,206,195,181,156,164,166,133,126,130,120,109,79,97,194,186,189,188,187,187,187,186,185,186,187,187,188,187,185,204,186,173,155,164,163,124,132,128,116,106,78,99,194,187,188,188,188,187,187,187,186
19,178,179,179,182,184,185,184,184,185,184,184,183,183,183,182,182,181,178,178,178,178,177,176,175,176,174,172,171,178,179,182,183,183,185,185,185,186,186,186,185,184,184,183,183,182,180,178,179,179,178,177,177,177,176,175,174,180,181,183,183,185,186,186,186,187,186,187,186,185,185,185,183,182,182,181,181,180,179,179,178,179,177,176,176,182,183,184,185,186,187,188,188,188,187,188,187,186,186,186,185,184,183,183,182,182,182,181,180,180,177,177,177,183,184,185,186,187,189,190,190,190,190,191,189,188,187,187,186,184,184,184,184,183,183,182,181,179,178,178,177,183,184,186,187,189,191,192,192,191,191,191,191,191,189,187,187,186,185,185,186,185,184,182,182,180,180,179,178,184,186,188,190,191,191,193,193,193,193,193,191,191,190,189,190,188,187,187,186,186,185,183,183,182,180,180,180,186,189,190,192,192,193,194,193,194,194,193,192,192,191,191,192,192,190,190,188,187,186,185,185,183,185,182,181,188,190,191,193,194,194,195,195,197,196,194,192,192,192,188,171,174,188,183,183,184,184,181,181,186,162,178,182,187,191,191,193,194,194,194,195,195,192,192,195,193,196,194,175,181,195,181,179,188,181,181,181,170,104,168,186,188,192,192,193,196,198,196,199,203,176,165,173,183,186,179,176,182,185,174,182,198,185,163,139,116,140,184,184,191,192,193,194,197,198,195,196,177,166,174,177,175,179,175,162,131,133,130,133,159,146,139,145,169,189,187,185,191,192,193,195,197,192,200,204,186,189,195,187,173,166,141,135,121,96,96,142,181,181,192,195,192,188,186,187,193,194,195,197,198,188,226,232,212,199,196,188,181,161,118,89,109,95,92,179,201,193,192,189,189,189,187,187,194,194,195,198,200,191,232,227,194,168,147,150,152,144,118,96,107,97,106,192,195,192,192,191,190,191,190,188,195,196,197,198,202,191,216,214,175,135,124,91,96,152,126,103,109,98,116,197,195,193,193,192,192,192,191,190,195,197,199,199,203,187,207,210,168,121,93,70,123,163,127,107,111,96,138,204,195,197,195,194,193,191,190,190,196,198,200,200,205,184,208,213,177,145,103,82,126,122,109,109,107,105,125,203,197,197,196,196,193,192,191,190,197,199,199,200,205,182,207,215,182,149,124,101,69,60,64,77,92,103,103,196,200,197,196,196,195,193,192,192,198,200,200,201,207,177,204,214,182,152,123,116,102,78,71,79,95,99,100,185,203,199,198,197,197,194,193,193,199,200,200,202,208,181,196,210,180,151,125,116,116,99,93,98,103,107,103,184,204,199,199,197,197,197,195,195,198,200,201,202,209,184,194,208,176,148,128,119,118,101,96,102,108,111,112,193,202,199,200,198,198,199,198,196,199,201,201,203,210,190,195,204,173,146,127,117,116,104,101,105,112,110,131,205,201,200,201,201,200,199,199,196,199,201,203,204,210,190,202,201,167,142,126,115,115,113,110,113,122,111,168,209,202,201,201,201,200,198,198,196,200,201,204,205,208,189,209,206,172,146,131,117,115,120,118,122,117,136,204,206,205,204,203,202,201,199,200,198,200,201,204,206,206,186,213,201,179,156,133,118,115,123,122,120,147,196,208,206,206,206,204,204,201,200,199,199,200,200,202,205,201,192,209,191,169,157,133,118,120,121,114,157,209,206,205,206,204,203,202,202,202,200,199,197,199,200,202,206,198,208,208,193,166,147,134,120,119,113,116,188,207,203,204,205,204,202,201,201,200,198,198,197
6,157,159,160,162,163,164,165,165,165,165,165,164,164,162,162,162,160,159,158,157,156,155,152,151,150,149,147,146,157,158,162,164,164,165,165,166,167,167,165,165,164,164,163,163,162,161,158,158,158,157,155,153,151,150,148,147,159,162,164,165,165,166,168,168,169,168,167,166,167,165,164,163,163,162,161,159,158,158,157,155,153,151,150,148,160,163,165,166,166,168,169,169,169,169,169,168,167,167,165,164,164,164,163,162,160,158,157,156,154,152,151,150,161,164,166,166,168,169,169,169,170,170,170,169,168,168,167,166,165,165,163,163,161,159,158,157,154,153,152,151,161,164,166,168,169,170,170,171,170,170,170,171,170,169,168,167,166,164,163,164,162,161,159,159,157,154,154,152,162,164,167,169,170,170,170,170,170,171,170,170,170,170,169,170,170,170,168,165,165,165,163,158,154,151,150,151,163,165,167,169,171,170,170,171,171,171,174,175,175,173,171,165,158,146,135,123,112,120,121,114,103,117,138,125,163,166,168,169,170,171,173,176,174,172,162,149,139,136,131,126,119,113,105,98,90,101,99,103,100,102,114,98,164,166,170,172,173,169,159,149,143,135,121,113,108,110,114,121,120,114,97,90,83,80,80,85,82,83,99,130,167,169,167,159,149,130,119,119,116,114,112,100,84,87,91,82,80,82,86,95,107,121,130,138,142,150,159,159,151,137,128,128,126,122,120,120,119,118,116,107,75,59,51,93,128,143,159,167,174,173,171,168,167,162,158,156,133,126,129,133,131,128,127,128,127,127,124,113,78,65,60,135,175,184,179,170,167,165,164,164,163,161,159,158,135,133,130,129,127,124,122,119,120,123,113,89,66,68,75,66,74,108,155,176,169,168,167,165,163,161,159,158,137,133,130,127,125,120,116,113,109,107,96,76,66,71,77,77,73,61,62,128,176,168,167,165,164,162,161,159,135,131,127,124,122,116,113,111,108,114,111,86,59,54,67,81,83,81,67,74,174,169,169,167,164,163,162,159,129,125,122,117,114,111,110,105,108,118,120,90,62,57,52,49,59,73,57,104,179,169,169,168,165,164,162,160,126,122,114,109,109,106,105,96,98,105,93,73,67,71,71,61,45,62,121,171,174,171,170,169,166,164,163,161,115,115,110,103,101,99,95,88,85,89,76,58,60,70,72,70,60,77,180,175,172,171,169,168,167,165,163,162,107,113,109,102,97,95,93,90,93,96,81,53,45,56,67,73,63,54,162,176,171,171,169,168,168,167,163,162,96,107,109,106,100,92,89,93,100,96,77,62,65,63,54,56,68,121,179,173,174,173,171,169,168,166,163,162,68,79,90,98,95,89,85,84,82,71,61,59,61,64,47,88,172,181,176,175,174,172,171,170,168,166,164,163,16,80,123,94,78,82,85,91,92,104,121,119,90,71,86,160,185,175,177,176,174,173,171,169,169,168,166,163,9,140,188,172,161,167,172,177,180,186,188,188,183,173,184,181,175,177,176,175,173,172,170,169,168,167,165,162,51,170,171,173,178,178,178,179,179,178,177,177,179,181,178,176,176,175,175,174,172,170,169,167,166,165,163,161,130,176,170,172,174,175,176,178,180,180,180,180,179,178,178,177,176,175,174,174,172,170,169,167,166,165,164,162,170,168,172,173,175,176,177,179,180,180,180,180,180,180,179,177,176,175,174,174,172,170,169,168,166,164,163,162,164,169,172,173,174,176,177,178,178,179,179,179,179,179,179,178,175,175,174,173,172,170,168,166,166,164,162,161
10,110,119,132,139,144,148,152,155,158,161,162,166,166,167,169,172,176,176,177,178,179,183,183,184,184,185,187,188,111,121,133,140,144,150,152,155,160,162,163,166,168,169,170,174,156,174,179,180,182,184,183,184,186,187,188,189,113,123,135,141,144,151,153,156,161,164,165,167,170,171,176,189,130,156,185,179,183,185,186,187,188,189,190,189,116,126,138,143,147,151,155,158,161,164,166,168,171,171,183,195,136,136,186,180,184,186,187,189,189,191,192,191,117,127,138,144,148,151,156,160,162,165,167,170,173,172,182,194,148,126,186,182,187,189,188,189,191,192,193,193,117,129,141,145,148,153,158,160,162,165,168,169,174,177,177,195,163,124,180,186,187,190,190,190,193,194,194,195,118,129,142,145,149,156,159,160,163,167,167,180,156,159,181,201,179,125,168,191,186,189,189,191,193,194,194,196,120,132,142,147,152,157,160,162,165,166,168,188,154,110,178,198,184,132,148,195,187,190,190,192,194,195,196,197,123,135,142,146,152,156,160,166,171,169,180,176,150,93,156,196,179,134,135,195,189,192,192,195,195,195,197,197,124,136,144,148,151,164,160,150,146,145,168,191,163,116,128,200,164,133,125,195,190,193,192,195,197,197,198,198,124,136,144,148,149,171,145,108,94,93,95,169,183,134,98,183,143,131,116,192,191,194,195,197,198,199,199,199,126,139,144,150,153,155,133,104,84,101,99,126,186,151,98,158,121,127,110,185,194,195,197,197,199,200,200,200,127,138,144,147,154,159,158,152,141,117,99,109,184,165,109,124,103,121,103,176,199,195,197,198,200,201,202,201,127,138,144,150,155,161,160,188,201,135,77,130,195,172,119,88,98,118,106,162,202,196,199,198,199,200,201,201,130,140,144,151,158,160,158,190,194,140,71,122,212,171,132,85,95,117,106,143,206,197,199,199,201,201,201,201,130,141,145,152,154,172,185,185,203,151,61,129,226,169,139,93,94,113,105,125,205,198,200,200,202,203,203,203,132,142,146,153,150,184,204,180,194,149,66,173,210,170,131,94,84,106,101,109,205,199,200,201,202,204,204,205,133,143,147,153,154,168,202,175,183,144,143,219,184,173,132,96,87,102,90,125,208,197,200,201,203,203,204,204,132,142,147,151,157,160,175,154,165,168,207,215,182,166,139,101,91,98,84,167,205,199,202,203,204,204,204,205,133,142,146,152,157,159,174,150,168,208,223,209,184,157,135,106,92,88,97,196,199,200,202,203,204,205,206,206,136,144,146,150,157,159,187,189,161,198,224,200,178,154,133,107,93,78,128,207,197,200,202,203,204,204,205,205,136,143,147,151,159,156,198,208,161,174,223,199,179,151,134,109,93,76,162,205,198,200,202,204,205,205,205,206,137,143,148,154,160,157,204,212,181,197,216,197,180,152,134,114,90,90,194,198,199,201,203,205,204,205,206,206,136,142,147,153,159,159,212,222,190,202,213,197,181,154,136,116,81,126,207,196,200,203,204,206,205,205,206,207,136,142,148,154,160,158,210,218,197,201,204,203,192,157,135,115,79,163,204,197,200,202,203,205,206,207,207,208,138,141,148,154,159,158,204,209,189,203,199,204,199,162,133,107,91,192,199,199,201,202,203,205,206,207,207,208,138,141,148,154,159,160,192,195,191,202,201,204,196,159,132,95,125,206,197,200,201,203,205,206,206,206,207,208,138,143,149,155,159,162,181,193,202,210,198,199,191,156,127,90,164,204,197,200,202,204,205,206,206,206,207,209
15,112,125,133,135,140,148,156,163,168,173,177,181,185,188,192,196,198,202,204,206,207,209,209,210,211,212,212,211,114,127,135,138,142,151,159,166,171,175,179,182,186,190,194,198,201,204,206,208,210,210,210,212,212,213,213,212,115,128,137,139,143,152,160,167,172,177,179,184,188,192,195,199,203,206,208,210,210,212,213,213,213,216,214,214,116,129,138,140,145,154,162,167,173,178,181,186,190,192,196,201,204,207,209,211,211,213,213,214,215,218,217,217,118,130,139,141,147,156,164,170,176,181,183,187,191,194,198,202,205,208,211,211,213,214,215,217,217,218,218,219,120,133,140,142,148,157,164,171,178,182,184,188,191,196,201,204,206,209,211,210,213,215,216,217,219,219,218,220,122,135,141,143,151,160,166,173,179,184,187,193,200,205,207,210,213,214,218,220,224,224,218,217,218,218,219,221,124,137,143,144,151,162,168,174,179,181,179,169,161,168,175,182,188,188,178,170,172,194,216,226,228,227,226,222,124,136,143,148,153,160,160,156,156,159,151,140,135,132,135,136,146,155,146,141,124,110,123,142,168,192,214,226,126,138,149,159,155,161,153,133,132,126,112,125,145,146,140,127,145,171,162,161,145,126,117,100,86,88,104,133,129,140,147,128,107,104,86,64,71,70,65,72,87,86,79,81,128,143,143,141,129,128,136,124,107,93,84,89,130,142,146,145,136,118,112,126,147,163,173,168,159,147,132,104,121,122,129,107,110,121,151,133,116,100,93,102,131,140,145,151,162,172,179,187,190,192,197,202,206,217,201,155,142,120,108,88,109,137,164,143,130,114,105,116,131,140,145,150,158,166,172,178,183,187,192,196,201,197,166,174,136,68,80,44,123,179,169,146,144,130,121,121,131,141,144,149,158,167,173,179,184,187,191,196,200,185,167,144,127,38,43,25,147,194,173,143,144,133,122,114,133,141,144,149,158,166,174,179,184,188,193,198,191,182,181,125,67,31,45,14,141,199,168,139,124,115,108,96,134,142,145,151,159,168,176,180,183,187,192,198,196,162,183,156,63,34,43,22,146,183,163,130,101,93,80,76,134,143,147,151,161,169,175,179,184,189,193,197,206,190,176,179,120,58,99,156,161,156,157,115,86,77,67,75,133,143,146,151,160,168,174,180,186,189,195,199,201,211,189,178,161,150,156,147,138,126,98,67,60,52,58,64,134,141,144,151,161,168,175,178,184,190,194,197,202,210,191,162,169,147,103,108,92,69,73,129,121,122,145,171,134,142,145,153,163,170,177,184,191,196,200,203,207,183,142,128,136,117,82,69,52,37,43,191,245,234,238,236,103,108,113,117,122,126,135,139,143,150,157,159,180,166,131,105,83,81,60,41,41,35,39,100,236,220,228,230,88,89,88,91,95,92,91,91,93,93,96,91,124,146,91,63,53,74,88,66,63,92,81,96,131,132,137,143,96,97,99,102,103,104,103,104,107,109,110,109,112,107,76,84,99,110,112,111,108,111,112,107,104,105,103,103,95,96,98,99,101,101,102,104,104,106,106,109,108,105,113,120,116,112,109,111,112,111,110,111,114,114,114,114,96,99,100,101,102,102,103,104,103,104,105,105,108,107,109,112,113,116,111,111,109,110,113,114,113,114,115,116,96,97,101,103,103,104,104,106,106,107,106,107,109,109,109,108,108,112,112,110,110,111,112,113,113,115,115,117,95,96,100,102,103,104,104,106,106,108,107,109,108,110,111,109,108,110,111,112,111,111,112,113,112,112,115,114
5,127,131,135,138,143,148,152,156,158,162,161,159,165,167,168,169,170,170,169,169,168,168,167,167,166,165,164,164,127,132,136,139,144,150,154,157,159,169,161,145,163,169,170,170,171,171,171,171,170,169,168,168,167,166,166,165,129,134,137,141,146,151,156,158,162,179,157,137,163,170,171,171,172,172,172,172,171,170,170,170,169,167,167,166,130,135,138,141,147,152,156,159,171,186,142,142,167,172,172,173,173,173,173,173,173,165,167,170,170,169,168,167,131,136,139,143,148,153,157,161,186,188,134,152,171,173,174,175,174,175,179,183,177,147,157,171,171,170,168,168,132,137,140,153,151,148,158,164,198,185,137,160,173,174,175,176,178,187,195,180,157,140,160,173,172,171,170,169,133,137,142,171,156,136,157,170,205,177,139,165,175,176,177,180,192,205,185,146,143,160,172,174,174,173,171,170,134,138,144,178,154,131,158,175,208,167,138,169,177,177,180,192,205,189,152,139,162,175,176,175,174,174,172,172,135,140,149,185,151,133,160,181,207,160,133,169,177,179,191,202,181,148,143,165,178,179,178,177,176,175,174,173,136,141,151,187,156,132,160,182,204,162,130,164,179,185,200,186,141,135,165,180,181,180,179,178,177,177,175,174,137,142,149,184,169,131,154,179,201,163,124,159,180,185,187,156,129,154,180,182,182,182,181,179,178,178,177,176,138,143,148,177,183,139,141,167,193,163,118,141,165,164,151,133,142,173,185,186,187,186,184,179,171,172,178,177,140,144,147,168,189,165,150,151,175,170,127,116,127,129,123,130,160,179,194,199,199,198,191,174,145,151,176,178,141,145,149,159,176,180,175,164,167,166,132,109,108,112,117,136,157,174,173,170,184,193,181,161,135,129,163,179,142,146,149,155,163,171,183,193,196,177,136,107,102,107,118,128,134,141,132,141,183,189,162,142,133,134,163,180,142,146,149,155,162,166,176,202,217,197,148,109,101,103,111,118,114,116,139,172,194,167,136,143,162,172,180,182,143,147,150,156,163,169,174,192,217,209,162,116,100,98,102,106,104,133,174,187,182,140,132,170,185,186,185,184,144,148,152,158,164,170,174,183,210,217,180,129,101,95,95,95,99,136,167,178,173,135,149,185,188,187,186,185,145,148,152,159,165,170,175,180,204,223,197,149,109,94,92,98,111,136,154,168,164,134,161,189,189,188,187,186,145,148,152,158,164,169,174,178,197,226,211,170,122,96,93,102,118,144,157,158,151,131,167,190,190,189,188,187,144,148,151,158,164,169,174,178,194,228,222,188,140,103,95,104,127,153,156,142,130,127,171,191,190,189,188,187,144,148,152,158,165,171,176,179,193,227,226,199,157,114,97,108,136,156,150,127,118,142,183,193,192,189,188,187,145,149,152,158,165,171,176,179,191,223,227,206,172,129,104,107,136,152,142,118,123,171,193,193,192,190,189,188,145,149,152,158,165,171,175,179,188,215,227,211,185,147,116,107,128,142,131,114,135,185,194,194,193,191,189,188,142,147,151,156,163,169,174,178,184,208,225,219,197,165,130,110,115,128,121,115,152,189,191,191,190,188,187,186,131,135,138,141,144,148,151,154,159,198,229,227,205,172,136,115,110,117,113,114,141,156,155,155,155,154,154,156,110,111,112,113,113,112,113,114,120,184,232,227,200,162,132,117,110,111,109,106,106,107,105,105,105,106,119,146,108,109,109,109,109,108,109,110,115,179,229,220,186,146,124,114,111,111,108,104,101,100,99,99,98,112,158,192
11,166,169,171,174,177,177,179,180,181,181,181,180,181,180,179,178,177,176,175,174,172,172,170,169,167,166,165,163,168,171,173,176,178,179,181,182,183,183,182,182,182,182,181,180,179,178,176,175,174,174,173,171,169,168,166,165,170,173,175,178,181,182,183,184,184,185,185,184,184,183,182,181,180,180,178,177,176,176,174,173,171,170,168,166,172,175,177,179,182,183,185,186,185,187,186,187,186,185,184,183,178,176,181,180,178,177,176,174,173,172,170,168,174,177,179,181,183,186,188,188,187,188,187,188,187,187,186,189,174,135,174,181,179,179,179,176,176,174,171,169,175,178,180,182,185,187,188,188,188,189,189,189,189,188,187,194,176,114,157,184,181,181,181,179,178,175,173,172,177,180,183,184,187,188,189,191,190,190,191,191,190,189,188,195,174,118,151,186,183,181,181,181,178,177,175,174,178,181,184,186,188,189,192,193,193,193,192,192,192,191,189,200,183,126,149,188,185,182,182,181,180,178,176,174,180,182,185,188,189,192,194,194,194,194,194,193,193,193,191,206,189,131,143,189,186,184,183,182,181,179,177,176,182,184,186,188,191,193,194,195,195,195,195,194,194,194,193,207,179,123,141,190,186,185,185,184,182,180,178,177,183,185,187,190,193,194,195,196,196,196,196,196,196,195,195,208,172,117,145,191,188,187,186,185,184,182,180,178,184,187,190,193,195,196,196,197,198,198,198,198,185,159,174,207,169,120,153,192,189,189,188,186,185,183,182,179,187,188,191,194,196,197,198,199,201,191,167,172,170,131,118,176,146,109,163,194,191,190,189,188,187,185,182,180,188,190,192,195,198,199,196,172,172,181,136,102,153,138,92,99,101,96,178,195,193,191,190,189,188,186,183,181,189,192,194,196,198,203,199,157,114,166,141,94,151,136,87,75,81,108,192,195,193,193,192,191,189,188,185,183,189,193,195,198,200,214,207,173,108,148,144,93,141,122,84,73,77,116,197,196,195,193,188,182,173,171,180,184,192,194,196,199,208,223,209,172,108,115,127,86,129,117,81,65,69,113,198,196,195,190,178,166,146,132,132,157,193,195,198,200,215,211,194,169,108,90,116,87,147,131,89,61,73,118,198,193,197,190,157,130,111,104,95,109,194,196,200,201,220,222,196,159,99,103,133,97,175,165,103,70,87,116,179,192,186,144,97,91,121,141,138,149,195,197,201,203,224,225,196,147,115,127,181,122,168,163,95,86,118,134,169,177,143,94,100,164,191,192,190,188,195,198,201,203,226,221,187,160,149,127,201,132,103,136,119,131,135,132,145,128,92,111,180,197,195,193,190,188,195,198,201,203,223,219,197,175,148,137,169,130,133,169,164,147,130,114,108,85,103,185,199,197,195,193,191,189,196,200,203,204,218,218,204,182,166,176,187,187,172,163,153,138,123,97,82,97,176,202,200,198,197,195,193,191,197,201,204,205,213,214,200,177,156,158,172,177,165,157,139,128,111,80,109,179,203,203,201,200,198,195,193,192,197,200,194,198,209,208,192,160,140,153,165,160,153,140,126,113,88,121,192,207,204,202,201,200,198,196,194,193,196,191,114,93,177,192,179,155,154,159,159,149,135,117,99,93,138,199,207,205,203,201,201,200,198,195,193,191,198,148,69,58,107,167,184,180,171,153,148,130,103,77,110,178,206,208,207,206,204,202,201,200,198,196,193,191,187,99,63,64,65,98,153,167,158,142,130,110,80,83,188,212,210,208,207,206,204,202,201,200,198,195,194,192
10,92,101,118,141,150,158,164,165,167,171,172,174,174,176,176,176,174,174,173,171,173,172,166,165,164,163,160,157,92,102,120,142,152,161,164,167,170,173,175,176,177,177,178,179,178,177,176,177,159,158,172,168,166,163,162,159,93,104,121,143,154,162,166,169,172,175,177,179,180,180,181,181,181,181,177,186,142,106,176,170,169,166,164,161,95,106,123,146,156,163,169,171,173,176,179,181,181,183,184,183,183,183,180,188,148,97,170,174,171,170,166,164,98,106,125,146,157,164,171,173,175,178,181,183,184,185,186,186,186,185,183,189,143,92,166,179,174,173,170,167,98,108,127,149,158,167,174,175,177,180,183,184,186,187,188,189,189,188,186,191,143,91,167,182,177,176,173,170,100,109,129,150,160,169,175,176,177,183,186,187,188,188,189,192,190,190,188,196,152,94,167,185,178,178,176,172,101,110,129,150,161,169,174,176,179,185,189,188,189,191,192,193,193,191,191,197,146,89,167,187,180,179,176,173,102,110,131,151,162,170,175,178,180,186,189,189,192,193,193,194,196,195,197,176,109,84,169,189,182,182,178,175,103,111,132,152,163,171,176,179,182,187,190,192,193,195,194,195,192,180,200,157,78,92,179,190,185,182,180,176,104,113,133,152,163,171,177,180,183,188,192,193,194,196,199,201,187,150,139,128,81,77,187,188,186,184,181,178,104,114,134,152,164,173,178,181,184,190,193,194,196,196,180,188,200,180,131,80,84,70,169,193,186,185,181,180,106,115,136,153,165,174,178,182,186,191,194,196,200,192,145,116,115,147,96,68,87,66,129,203,186,186,184,182,106,115,138,153,165,174,179,183,186,191,195,193,184,199,166,125,45,52,52,97,102,62,118,203,187,187,185,182,107,116,138,154,167,175,181,184,187,191,198,183,136,148,187,141,69,48,52,123,147,75,109,203,189,189,187,183,107,117,140,154,167,174,181,185,189,191,199,192,170,126,168,151,96,47,58,124,168,94,96,201,192,190,187,185,107,117,140,155,167,175,182,186,189,194,198,171,179,144,135,149,101,45,73,148,167,105,78,191,194,190,188,185,108,117,140,155,168,176,182,185,190,193,203,170,140,131,92,138,114,68,110,166,148,101,75,189,196,191,189,186,108,117,140,156,167,175,183,186,190,194,199,176,134,118,97,128,157,104,129,170,119,81,88,200,196,193,189,186,108,118,142,156,167,176,183,186,190,195,196,198,167,120,113,115,154,105,131,156,111,65,105,206,193,193,191,187,107,119,142,155,167,177,185,186,191,195,194,200,181,147,120,105,154,156,152,136,108,57,123,211,194,193,192,190,105,118,142,154,166,176,182,184,189,194,195,190,180,159,138,122,169,190,155,123,101,55,143,209,194,192,189,188,104,116,140,152,165,175,181,183,188,193,197,181,171,162,150,134,162,179,145,112,91,52,166,203,193,191,188,187,103,114,139,151,164,174,181,183,189,193,197,194,171,167,156,134,150,165,133,101,71,64,193,196,193,192,188,186,99,111,136,147,161,171,178,182,186,191,194,199,182,163,148,129,129,142,116,91,53,113,208,194,193,191,189,187,112,124,146,157,168,177,183,187,190,194,198,200,200,170,141,125,120,131,121,90,55,163,201,191,190,186,184,182,141,144,149,148,142,141,141,140,140,139,138,133,147,180,148,145,135,131,126,85,62,108,113,110,108,107,107,98,105,104,104,104,104,104,105,106,107,105,105,103,115,185,166,159,139,130,111,81,62,92,93,92,90,83,50,29
3,166,169,169,169,170,170,172,171,172,171,171,171,170,169,166,164,162,152,163,158,158,157,154,153,149,147,145,143,171,173,174,174,173,174,175,175,174,175,177,176,174,173,171,170,177,99,137,170,162,160,159,158,154,152,149,147,175,178,178,179,179,179,180,180,180,180,181,182,180,178,176,176,167,75,98,182,164,165,164,163,160,157,154,150,181,182,184,183,184,184,185,186,187,185,184,184,184,184,181,180,165,72,75,183,171,170,168,166,164,161,158,155,187,187,187,189,191,190,191,191,191,190,189,189,188,187,185,185,164,67,65,187,174,174,173,171,168,165,163,159,191,191,192,192,193,195,194,194,194,194,193,193,193,191,190,189,163,76,60,185,179,177,176,175,173,170,165,163,194,195,197,196,197,198,198,199,198,198,199,197,197,195,192,194,176,86,53,185,185,181,178,176,176,173,170,167,198,199,201,201,201,202,202,202,201,201,201,201,201,199,197,195,170,67,53,192,187,185,182,180,180,177,174,171,201,203,204,204,204,205,204,203,203,202,204,204,204,203,202,194,156,88,63,179,193,188,186,184,183,180,178,174,203,203,204,207,207,208,207,207,207,207,208,208,207,206,205,198,174,125,57,158,202,190,190,188,186,184,180,175,204,206,207,208,208,210,210,210,210,211,211,211,209,208,208,199,179,122,40,142,208,191,191,191,188,186,183,179,208,208,209,209,209,210,212,212,211,211,212,212,210,212,209,205,192,123,45,106,216,191,194,193,191,188,185,182,211,210,211,212,211,211,213,215,214,213,214,215,217,207,185,169,160,156,94,131,185,209,195,194,192,190,187,183,212,212,211,212,214,215,216,216,216,216,218,217,207,196,184,119,63,134,149,187,92,166,210,197,195,193,190,185,213,213,214,216,216,217,217,217,218,220,211,187,123,140,186,118,57,76,153,151,58,23,130,209,196,195,192,188,215,215,217,218,219,220,219,218,221,211,196,175,111,73,138,153,89,52,118,130,68,30,34,192,203,196,193,191,216,216,217,219,220,220,219,222,219,200,180,148,141,114,90,164,106,41,48,84,87,40,27,176,209,197,196,193,217,218,218,219,221,221,221,222,214,188,144,91,120,123,68,117,123,48,33,60,110,58,17,163,213,198,197,195,216,218,218,219,222,223,224,226,219,187,164,89,45,95,21,63,115,32,38,57,118,102,19,132,217,199,200,196,216,217,218,220,221,223,225,224,227,192,152,117,76,50,22,57,67,11,49,110,138,122,27,135,219,201,201,198,217,218,219,219,220,221,223,223,230,192,166,159,112,61,60,88,74,60,148,159,138,78,52,201,207,202,199,194,218,219,220,220,223,224,224,224,229,202,157,159,126,87,75,106,166,174,186,140,101,32,128,222,197,199,202,205,216,217,218,220,222,223,223,223,228,213,153,155,132,95,79,89,175,172,151,111,61,31,187,216,214,214,186,139,226,226,226,227,228,228,229,230,230,234,165,128,122,96,86,82,148,151,124,81,23,104,228,188,157,111,48,20,169,175,180,185,192,198,204,207,210,217,197,121,119,109,105,77,111,126,96,39,49,146,88,44,17,7,6,14,78,81,82,83,84,89,89,90,90,88,106,151,119,116,96,65,65,65,34,18,49,34,7,2,11,3,2,0,91,90,91,92,90,90,98,95,95,90,117,181,155,119,79,59,57,56,25,26,28,18,21,0,3,0,0,0,90,91,91,92,92,92,102,98,102,96,139,164,161,129,99,85,69,54,21,24,19,13,7,6,0,0,0,0
7,201,202,203,205,207,207,207,207,208,208,208,208,208,209,209,209,209,208,209,208,207,206,204,202,201,200,198,197,202,204,205,206,208,209,209,210,210,210,209,210,210,210,211,212,211,210,210,210,209,207,206,204,201,201,201,199,204,206,207,209,210,211,211,211,212,213,212,213,213,214,213,213,212,213,213,212,211,210,208,206,205,203,202,201,206,208,209,211,212,213,213,213,213,214,215,215,215,216,215,214,214,214,215,214,212,211,209,208,208,206,204,202,208,210,212,212,213,215,215,215,215,216,216,216,216,216,217,216,216,216,216,215,214,214,212,211,210,208,207,206,210,212,213,214,215,216,216,217,218,217,217,219,218,218,218,218,217,217,217,217,216,214,214,213,211,209,208,206,212,213,213,216,217,218,218,219,220,219,219,220,220,220,220,219,219,219,219,218,218,216,215,215,214,212,210,209,213,215,215,218,219,220,221,221,222,222,222,222,222,222,222,222,222,222,222,220,220,219,217,216,216,215,212,211,214,216,217,219,220,222,225,227,217,200,209,217,219,218,220,221,222,221,220,219,218,218,222,217,216,215,214,213,215,217,219,223,227,229,231,233,223,193,176,192,206,206,209,208,206,208,209,209,207,217,229,208,218,216,215,214,220,225,229,232,232,229,226,224,220,192,162,172,187,196,198,194,191,192,190,196,190,189,183,201,218,217,216,216,233,234,232,229,224,217,209,210,215,196,163,154,162,178,188,195,194,187,188,191,184,184,188,192,213,212,216,217,232,229,223,217,213,208,207,213,220,205,167,154,155,153,157,160,163,167,174,179,177,180,188,184,192,193,217,218,228,219,209,204,201,202,205,213,210,190,165,156,163,166,161,145,148,190,193,190,184,183,185,187,191,209,221,221,226,215,204,199,199,199,196,205,210,189,156,140,153,168,170,162,151,208,231,229,228,227,225,224,225,225,222,222,226,218,210,205,205,204,201,204,214,199,166,151,156,156,154,151,152,216,232,231,231,230,229,228,226,226,225,224,221,218,215,210,207,204,204,207,213,199,172,167,172,165,161,144,187,234,233,233,232,232,231,230,229,228,224,208,210,214,216,214,208,202,199,199,193,181,165,161,166,165,157,164,229,236,234,235,233,233,232,231,231,229,185,143,172,194,211,210,201,194,188,180,169,155,136,112,121,145,146,195,239,236,235,235,234,233,233,233,234,211,140,133,86,111,153,180,177,170,169,174,192,200,146,106,120,142,167,227,237,236,236,235,234,233,233,233,223,172,127,118,59,57,67,87,148,207,221,231,236,240,216,159,173,197,225,238,238,237,236,235,235,235,229,220,169,125,109,93,53,51,49,66,202,237,237,237,237,238,238,233,235,239,238,239,238,238,237,237,232,197,160,140,118,103,92,79,47,46,42,80,228,236,236,238,238,239,239,238,237,238,239,240,240,239,237,211,163,130,124,114,104,92,81,73,49,47,40,73,228,238,237,238,239,239,240,240,240,239,241,240,240,242,212,141,99,94,107,101,95,93,85,71,55,48,31,69,228,238,238,239,239,241,242,242,242,242,242,243,241,210,154,125,93,74,86,92,87,88,89,75,53,38,24,54,186,201,203,206,208,210,212,213,215,216,217,220,204,136,104,121,90,65,68,81,79,81,89,83,40,26,27,56,130,134,135,137,139,142,144,145,146,147,146,156,150,108,90,114,87,59,62,71,73,75,83,86,29,27,30,73,135,134,133,135,134,134,134,135,135,133,137,145,133,97,84,107,82,58,58,66,68,71,78,84
6,163,166,168,170,173,174,175,176,177,177,177,175,175,175,175,175,174,173,173,173,172,170,169,170,168,167,166,163,164,167,170,172,173,176,176,177,178,179,180,178,178,177,176,176,176,176,175,174,173,172,173,172,170,169,168,166,165,169,172,174,175,176,179,179,179,180,180,180,181,180,179,178,177,177,175,175,175,174,175,174,173,172,170,169,166,170,172,175,176,178,181,182,181,181,181,181,182,182,183,183,182,180,180,178,178,175,172,174,176,174,173,172,168,172,174,176,179,180,182,183,182,183,184,184,182,177,168,165,166,169,162,165,154,153,187,156,156,180,174,173,170,174,176,179,181,182,184,185,183,184,183,180,177,167,151,147,161,174,163,166,152,150,192,136,128,184,174,175,173,175,177,180,182,184,185,185,187,189,196,196,193,180,165,155,157,160,154,147,147,128,125,119,163,181,177,176,173,176,179,182,182,182,182,189,200,201,197,180,165,144,129,108,103,107,119,126,130,141,156,175,182,180,180,177,173,176,179,179,193,201,184,185,184,176,161,152,143,127,123,112,99,155,172,179,184,188,189,186,181,182,181,180,173,176,181,177,215,202,175,170,166,174,182,180,166,157,156,160,106,144,198,186,187,186,185,185,185,183,182,181,173,177,180,184,204,171,161,169,176,185,191,187,177,168,157,139,95,104,196,188,189,188,187,187,185,183,183,182,174,179,178,201,210,168,161,164,170,178,182,182,171,152,147,125,80,83,180,193,189,188,188,188,185,185,184,182,177,181,179,206,185,170,174,169,170,173,182,185,167,141,148,141,80,68,151,199,188,188,188,188,188,188,185,183,178,182,181,200,188,191,184,182,184,192,196,184,167,159,154,127,88,71,136,200,189,190,189,188,188,187,186,185,178,182,182,195,217,214,180,179,181,180,177,170,160,149,127,98,88,79,123,200,190,191,190,190,190,189,187,185,180,183,182,194,225,214,184,173,161,138,136,149,146,144,141,86,80,85,142,201,191,192,191,191,190,189,189,186,181,183,181,198,213,207,192,171,153,157,176,178,159,151,161,108,65,112,194,193,193,192,192,192,191,191,189,186,180,184,182,201,205,209,204,173,167,183,190,168,152,144,133,107,81,141,202,192,193,193,193,192,191,191,190,188,181,186,183,201,209,200,197,177,171,177,176,164,147,131,109,94,88,165,202,195,194,193,194,194,193,192,190,189,181,186,182,199,209,201,192,179,170,170,152,139,117,98,90,85,109,190,198,196,196,195,194,194,192,192,190,189,182,187,181,193,204,205,189,171,157,143,117,95,69,63,76,123,186,200,197,197,197,198,196,194,192,192,190,189,181,185,180,189,200,189,165,152,139,116,93,74,60,77,105,191,204,197,196,198,198,196,195,196,193,191,190,189,180,185,180,182,194,170,153,150,142,105,88,86,69,84,157,202,195,198,197,196,195,193,193,195,193,191,189,187,181,186,175,173,187,158,156,157,127,98,92,94,78,135,201,198,197,198,199,196,195,194,193,193,192,190,189,187,181,185,173,168,181,150,163,157,119,98,90,96,125,196,200,198,199,198,198,197,195,194,193,193,192,191,190,189,181,187,170,171,175,155,166,152,119,96,91,100,177,204,197,199,200,197,197,197,196,196,195,194,192,191,190,188,179,187,161,178,178,153,160,138,107,90,95,109,188,200,198,199,199,197,196,196,197,195,196,195,193,191,190,189,178,182,156,187,171,146,144,117,97,91,96,127,200,196,196,195,196,195,194,195,195,192,194,193,192,191,191,188
22,132,139,143,146,153,158,162,166,169,172,174,176,178,179,179,179,179,180,179,177,177,177,175,174,173,171,170,170,134,140,144,147,154,159,164,167,171,174,173,177,180,181,181,181,180,180,181,180,179,179,177,176,174,173,172,171,135,142,146,150,155,161,166,170,173,185,164,147,181,182,183,182,184,168,160,181,181,180,179,178,178,175,174,173,137,144,148,151,157,163,168,171,174,201,166,120,179,184,185,184,190,153,116,178,183,182,182,165,160,177,176,174,138,144,148,153,159,164,169,173,176,206,174,117,178,186,186,188,186,142,111,182,184,185,182,139,116,176,178,176,139,146,150,154,160,165,171,175,176,206,182,122,175,188,188,188,178,131,128,187,185,189,178,129,121,180,180,178,140,147,150,155,162,168,173,176,178,210,195,130,167,190,188,183,170,119,148,189,191,193,162,109,152,184,181,180,141,148,152,156,163,170,174,178,179,209,193,131,158,193,188,178,158,108,164,191,199,189,143,118,180,185,182,181,142,150,153,158,164,171,176,179,181,207,193,132,145,194,189,185,160,106,177,196,194,165,123,149,188,186,184,183,144,151,154,159,166,172,177,180,183,203,207,153,137,193,185,182,145,115,195,211,189,136,112,178,189,187,186,185,145,152,155,160,168,173,178,182,185,196,210,154,123,186,170,164,119,135,212,211,179,118,138,192,189,188,187,186,146,152,156,161,169,175,180,184,187,189,204,142,97,155,156,166,159,184,207,191,152,107,175,194,191,189,188,187,147,153,157,162,169,176,181,185,192,171,168,132,113,156,170,176,193,197,193,163,113,131,193,194,193,191,189,188,148,154,158,163,170,177,182,188,201,170,153,138,141,144,154,177,187,188,177,134,105,178,196,195,194,193,190,189,150,156,158,165,172,179,183,197,208,182,182,172,159,119,99,145,166,175,149,109,134,200,198,196,195,194,192,191,150,157,160,166,174,179,184,204,217,188,171,170,164,142,113,93,119,129,109,94,156,203,199,197,196,195,193,193,151,157,160,167,174,179,185,213,213,177,128,119,152,164,147,112,85,88,89,88,178,204,201,199,198,197,195,193,151,157,160,167,176,181,187,218,214,177,126,85,118,172,165,140,109,87,76,85,187,204,203,200,200,198,195,194,152,158,161,169,175,182,188,222,228,186,175,108,139,197,181,150,130,105,69,71,180,206,203,201,200,199,197,196,153,158,162,169,176,183,189,223,229,185,167,120,178,214,189,156,135,107,66,66,179,207,203,201,200,200,199,197,153,158,161,168,176,182,188,222,229,187,164,169,212,197,184,152,125,98,63,80,193,206,203,202,202,201,200,197,152,158,161,168,176,182,186,216,226,198,170,192,220,184,169,163,121,90,59,109,205,204,202,201,201,201,200,197,153,158,161,169,177,183,187,210,224,206,174,197,215,182,165,160,126,81,57,140,208,204,203,202,201,202,200,197,153,158,161,169,177,184,188,203,219,208,176,183,202,175,157,146,112,71,62,171,209,206,205,203,202,202,200,199,153,158,162,169,177,184,188,181,211,202,171,157,174,153,134,119,86,60,89,199,208,206,205,202,201,201,200,199,151,157,160,168,176,183,177,95,149,186,142,130,141,139,119,94,73,64,144,209,207,206,204,202,201,201,200,199,131,134,136,140,143,146,121,62,67,120,129,136,142,149,129,93,72,69,137,154,152,151,151,152,151,151,150,148,111,111,111,113,113,104,71,57,56,62,108,135,139,144,128,87,57,49,98,104,102,101,100,100,99,98,89,76
1,115,119,122,125,128,132,135,136,137,137,138,139,140,139,139,138,136,135,139,135,134,133,133,129,128,128,126,123,118,123,125,127,131,134,136,138,140,141,140,140,140,141,139,140,146,142,122,138,135,134,135,131,130,128,127,125,121,125,129,131,134,137,140,141,142,142,142,143,144,141,151,132,152,157,68,124,135,137,134,133,133,130,128,128,123,128,132,135,136,140,143,144,145,145,145,145,146,143,180,116,82,150,60,83,103,111,140,134,135,134,132,130,126,132,135,137,139,142,145,146,149,149,149,148,145,159,188,102,54,137,56,82,104,68,145,137,137,136,135,132,128,133,136,140,142,145,148,150,151,151,149,165,157,99,150,86,71,158,65,83,107,59,140,141,140,138,136,135,131,135,139,143,145,147,150,153,153,155,151,187,139,47,111,86,79,157,73,66,108,61,139,146,141,140,138,135,133,138,143,144,148,151,153,154,157,156,158,189,113,47,113,76,64,128,58,88,127,67,131,150,144,144,141,139,136,141,144,147,150,153,155,158,159,157,170,190,109,47,98,58,81,120,49,94,123,62,126,155,147,147,144,142,138,142,145,148,152,153,157,160,162,157,181,177,98,59,105,56,107,133,56,84,113,58,133,155,150,149,146,145,140,144,147,150,154,156,158,162,163,158,185,165,86,74,130,64,87,119,52,110,122,62,136,157,152,151,147,144,141,146,149,152,157,158,160,162,166,161,195,171,113,60,98,36,50,75,39,135,119,64,140,159,154,153,150,148,142,148,151,154,157,159,161,164,169,165,197,151,94,44,49,49,54,53,58,116,88,58,153,158,156,155,153,151,145,151,153,157,159,161,165,168,170,171,188,149,124,115,76,100,62,106,121,72,55,73,167,157,158,156,153,151,147,153,156,159,161,165,168,170,170,180,209,192,135,157,153,140,133,152,109,48,44,108,171,158,158,157,154,152,147,152,159,161,164,168,170,172,168,200,222,150,98,109,147,158,151,132,112,82,23,119,173,159,161,159,156,153,149,154,160,163,168,170,172,175,170,213,194,112,97,56,57,107,93,132,153,103,29,124,174,162,162,160,158,155,152,157,161,166,171,172,174,176,175,220,200,150,95,81,70,52,115,118,180,130,48,104,177,163,164,162,159,157,154,159,163,168,171,175,177,178,183,223,198,160,90,95,61,127,200,135,173,145,75,49,166,169,165,165,162,158,155,161,166,170,174,178,180,181,187,219,200,157,84,101,76,190,203,180,137,109,92,48,158,174,167,166,163,160,156,162,167,172,176,178,182,181,190,218,209,147,93,97,117,217,205,166,136,92,63,60,175,172,170,167,165,161,159,165,169,173,176,181,184,182,193,221,196,135,117,79,158,219,193,163,127,107,38,83,187,172,172,169,167,165,160,167,172,175,178,182,185,184,193,217,185,157,129,91,190,211,183,153,122,90,32,138,185,174,175,172,168,167,161,167,173,177,180,183,185,194,202,206,184,179,133,116,198,199,172,143,108,55,64,185,178,178,175,173,170,167,162,168,173,178,181,183,194,148,137,213,185,187,133,104,173,171,144,117,86,30,141,192,180,179,177,175,173,169,165,170,175,181,182,185,194,61,26,139,181,177,92,81,120,125,108,85,31,76,197,181,183,182,179,176,174,172,165,172,175,181,181,196,145,37,41,28,67,82,58,79,89,89,63,35,41,176,189,184,184,183,180,177,176,173,163,169,176,180,181,194,90,40,37,34,28,33,39,50,47,47,16,0,117,202,183,186,184,183,181,177,175,172
22,158,163,167,170,171,174,177,179,181,181,183,184,185,185,183,184,187,185,185,184,182,184,182,181,180,178,178,177,163,167,170,172,174,177,179,181,184,182,188,187,187,186,193,180,169,189,186,187,186,185,186,184,182,180,180,179,165,169,172,174,178,179,181,184,186,199,161,182,192,185,217,173,119,195,188,188,189,190,187,187,185,184,183,182,166,171,174,178,181,182,184,185,192,221,124,165,200,189,220,169,125,197,190,193,170,173,192,186,186,186,185,186,168,173,177,181,183,186,187,187,194,214,129,158,203,192,211,159,133,200,191,199,146,133,200,188,189,188,188,187,171,175,180,182,185,187,189,190,193,218,145,145,206,196,204,163,142,203,197,208,140,138,202,191,192,190,190,189,172,177,181,184,187,188,191,195,192,222,168,140,205,198,210,172,145,204,203,210,134,155,204,194,194,192,193,192,175,179,183,187,190,192,194,198,194,224,190,136,200,203,202,167,143,205,214,209,126,177,203,196,196,194,194,194,178,182,187,189,192,194,195,199,196,223,193,124,188,206,200,162,143,209,222,201,124,193,203,199,198,198,196,195,178,184,188,190,193,196,198,201,197,227,221,134,169,211,214,158,145,218,222,174,124,205,203,201,201,200,198,197,180,185,189,192,195,198,201,204,199,217,221,140,162,217,215,147,156,231,230,144,140,215,202,203,203,202,200,199,183,187,191,195,196,199,203,204,223,211,198,162,156,190,209,139,180,238,214,122,174,215,206,206,205,203,202,201,183,188,192,196,199,202,202,211,250,202,214,229,207,154,154,207,209,218,182,117,201,212,209,207,206,205,205,204,184,189,193,198,202,203,204,215,240,191,146,236,231,177,106,169,186,192,144,131,217,210,210,209,208,208,206,205,187,193,196,200,204,206,205,221,225,213,122,130,221,208,153,100,132,148,109,157,221,210,211,210,209,209,208,206,190,195,197,201,205,209,205,235,232,191,145,83,145,232,198,133,98,106,94,187,221,212,212,211,210,209,209,209,191,196,200,203,207,211,208,241,217,170,137,139,136,216,233,175,131,102,95,200,221,215,213,212,212,210,209,209,191,198,202,204,208,211,210,246,230,179,161,171,176,246,228,189,159,102,96,214,220,217,216,215,214,211,210,210,193,200,203,207,210,213,213,250,223,176,165,189,222,255,213,176,147,91,104,224,219,218,218,216,215,214,213,212,194,200,205,208,212,215,215,249,229,194,186,187,244,246,205,156,133,87,137,232,218,221,219,218,218,216,214,212,196,201,207,210,213,217,217,247,235,205,195,187,254,229,189,146,123,84,169,234,220,222,220,220,219,217,215,214,197,202,207,211,215,218,217,242,232,212,205,195,243,211,175,138,114,82,181,234,222,223,223,221,219,218,217,216,198,203,208,212,215,219,218,236,238,221,216,197,233,194,164,133,105,83,195,232,224,225,225,223,222,220,219,218,199,204,209,212,216,220,221,227,237,224,221,196,231,185,156,122,101,93,210,231,225,226,225,224,224,222,221,220,200,206,210,214,218,221,222,226,237,220,205,178,210,175,156,129,95,116,232,228,228,228,226,225,225,224,222,221,201,207,211,216,219,221,224,226,240,209,180,178,211,161,167,136,82,168,240,229,230,229,228,226,225,225,224,222,202,208,212,217,220,223,224,227,254,228,205,203,212,156,175,111,92,223,234,232,230,229,230,230,227,225,225,223,201,207,212,216,220,223,223,227,255,240,224,217,202,154,163,91,130,239,232,232,231,230,230,229,229,226,225,223
1,180,182,183,183,184,184,183,183,183,182,181,181,182,180,180,182,181,177,176,176,175,173,170,170,168,167,165,164,182,182,183,184,184,184,184,184,183,182,181,182,181,183,182,160,169,179,175,175,174,173,171,170,169,168,166,165,181,182,183,185,185,185,186,185,185,184,183,185,180,154,168,142,134,185,179,175,174,173,172,171,169,168,167,166,182,184,184,185,185,186,186,186,185,185,184,185,184,135,136,153,114,135,151,181,175,174,173,172,170,169,168,167,184,185,186,186,187,187,187,188,187,186,186,186,181,129,138,153,100,121,119,176,178,175,174,173,170,169,168,167,186,187,187,188,188,189,189,189,189,187,185,190,176,120,145,144,98,137,115,166,181,175,175,174,173,171,170,169,187,187,188,190,191,191,190,190,190,190,159,167,173,118,156,145,103,142,110,159,184,177,177,175,174,173,171,169,188,190,191,191,191,192,192,191,190,193,149,138,176,122,156,140,104,147,115,157,186,178,179,177,175,174,172,170,190,191,191,191,192,192,192,193,192,191,136,142,160,116,156,126,111,157,117,152,187,179,180,178,176,175,174,174,191,192,193,193,194,194,194,193,195,187,124,150,147,117,160,125,127,159,108,153,190,181,181,180,178,176,174,174,192,192,193,194,195,195,196,195,196,188,126,151,158,122,162,135,125,156,110,159,190,183,182,181,179,177,175,174,193,193,194,195,195,196,197,195,199,181,115,151,166,120,157,135,118,159,121,156,191,184,183,182,180,178,177,175,192,194,196,196,197,197,198,196,201,182,119,148,158,106,142,115,117,163,116,154,195,184,185,183,181,179,178,176,193,196,197,197,197,198,199,197,202,187,123,133,156,125,141,148,146,134,117,140,187,186,185,184,183,180,179,178,195,196,197,198,199,199,199,198,203,178,137,150,147,150,146,151,152,123,124,111,139,193,184,184,183,181,180,179,196,197,198,199,200,201,201,201,203,185,168,146,127,134,136,143,141,132,118,122,120,184,187,184,183,181,180,179,196,197,198,199,201,202,202,202,206,188,156,128,122,124,140,149,134,126,142,155,120,160,193,184,184,181,180,179,197,198,199,200,201,201,202,204,207,185,152,123,124,129,147,153,156,162,152,162,138,136,193,185,185,182,180,179,198,198,200,201,202,202,203,204,204,187,156,125,125,134,151,160,168,182,157,153,150,119,185,188,185,184,182,180,198,199,201,202,202,203,204,204,201,188,163,133,117,137,152,164,167,169,166,145,129,102,179,190,185,184,182,180,199,200,201,202,203,203,204,204,199,191,171,143,122,126,154,174,175,171,155,136,116,107,189,188,185,184,183,181,198,199,201,203,203,204,204,205,199,186,170,146,128,125,158,182,176,165,149,133,103,139,199,187,186,185,184,182,199,200,202,203,203,204,205,206,198,184,170,151,133,135,165,180,170,159,142,127,98,174,195,189,187,186,184,181,199,201,203,203,204,204,205,207,202,186,172,160,145,142,171,176,170,154,136,110,117,198,190,190,188,187,185,183,200,201,202,204,205,205,207,207,207,189,174,165,152,142,163,166,158,143,126,90,163,200,191,191,189,188,186,184,201,202,202,204,206,207,207,207,207,198,180,169,156,141,151,155,140,128,95,124,201,194,192,192,190,188,186,185,201,202,203,204,203,205,207,208,207,200,183,162,154,148,147,143,127,99,119,199,198,195,193,192,189,187,186,184,200,203,203,204,204,206,208,209,202,198,184,165,166,151,140,132,107,97,188,203,195,196,193,191,190,187,186,185
3,115,125,133,137,141,145,150,153,155,158,159,160,162,163,163,163,167,166,164,164,164,163,163,163,162,161,160,159,121,130,137,141,146,150,155,159,161,163,165,167,167,168,169,174,142,160,172,168,170,169,168,167,166,165,164,163,125,135,141,145,150,155,159,163,166,169,171,171,173,173,174,181,110,114,185,173,175,174,174,173,171,170,168,167,130,139,146,150,155,160,164,169,171,174,175,176,178,179,180,180,110,79,179,179,179,180,178,178,176,174,172,171,133,143,151,153,159,164,169,173,176,178,180,181,182,183,184,188,114,64,166,188,182,183,182,182,180,178,177,176,136,146,154,158,162,167,173,177,179,182,184,184,187,187,187,194,126,61,151,196,185,186,186,185,183,182,181,181,140,149,157,160,166,171,176,181,184,186,187,188,191,191,189,211,148,64,131,203,190,191,191,189,187,186,184,183,143,152,160,164,169,174,179,183,186,190,190,192,192,194,179,184,135,58,116,205,192,195,194,193,191,190,188,188,146,156,163,167,172,177,182,187,189,191,194,197,197,223,194,134,89,72,107,205,197,197,197,197,195,194,192,191,150,159,165,170,175,181,186,190,191,195,198,187,158,205,222,165,80,134,120,194,204,200,201,200,199,198,196,194,152,161,167,172,179,183,188,192,196,194,213,204,162,153,231,176,137,186,86,160,214,203,204,202,201,200,198,197,155,163,169,174,181,185,190,194,199,175,170,218,205,147,197,174,150,163,72,95,213,205,206,205,204,202,201,200,156,165,172,176,182,187,192,196,209,201,167,159,211,159,165,171,119,162,111,70,153,218,205,207,206,206,205,203,159,167,174,179,185,188,195,200,198,213,204,136,151,181,132,174,120,140,148,96,98,218,207,208,208,207,205,205,160,168,176,180,186,191,197,203,190,145,171,114,88,155,93,174,173,101,145,108,97,215,212,211,211,210,209,207,161,169,176,181,187,193,198,203,202,139,144,116,71,131,98,97,98,54,125,114,92,214,214,213,212,211,210,208,163,170,177,183,188,194,200,203,212,180,124,115,87,110,156,86,32,75,154,124,79,198,220,213,213,212,212,212,162,169,176,183,189,194,200,204,207,168,114,94,77,62,115,96,80,125,171,126,72,180,227,214,214,215,214,213,163,170,176,182,189,194,199,202,207,194,149,103,79,66,81,147,164,167,146,109,81,193,223,214,215,214,215,214,164,171,178,183,190,195,200,202,212,204,158,111,102,110,124,208,216,183,141,89,96,215,217,214,215,216,212,208,165,174,180,185,190,195,200,203,209,206,174,135,120,113,138,211,206,166,133,84,120,228,221,217,220,195,175,206,159,168,176,183,190,197,203,208,212,205,179,146,122,117,133,202,199,154,119,78,146,221,198,201,199,156,152,207,98,99,104,109,115,119,123,130,134,187,183,148,136,137,121,192,190,145,105,77,139,195,167,151,191,118,160,195,93,95,97,98,97,97,98,99,90,141,189,159,146,143,113,166,173,130,93,86,169,160,174,145,158,105,180,184,96,97,99,101,102,103,108,110,102,118,192,165,144,137,103,127,146,102,80,130,176,150,156,163,117,116,189,178,96,98,99,99,102,102,101,105,96,160,218,166,139,122,94,105,108,86,93,155,169,151,151,153,105,149,179,179,95,97,99,99,101,102,102,103,97,188,215,163,137,111,98,100,96,74,138,152,136,151,145,135,133,157,175,180,94,96,99,99,98,100,102,101,106,190,199,163,139,124,108,95,86,76,170,156,100,143,146,136,153,149,185,175
21,82,97,114,128,137,142,152,161,167,173,176,180,182,185,188,189,191,192,191,191,190,190,189,187,186,185,184,183,82,98,116,129,138,143,154,163,170,175,179,182,186,189,192,194,195,196,196,195,194,194,193,192,191,190,189,188,83,99,117,131,139,145,156,165,172,182,184,146,170,195,196,198,199,200,200,200,199,197,198,197,196,195,194,193,85,101,118,133,140,147,158,167,173,186,189,138,125,195,199,201,202,202,203,204,202,167,178,202,200,199,198,197,86,102,120,134,141,149,160,169,175,185,198,157,105,178,202,203,205,206,206,208,211,152,127,202,205,203,202,202,88,105,122,136,143,151,162,171,178,185,208,173,105,148,206,207,207,207,208,210,218,161,108,193,209,207,206,206,89,107,124,138,145,152,164,173,180,185,208,188,111,117,204,209,209,210,212,215,221,163,106,179,212,210,209,209,90,109,126,140,147,155,166,174,181,187,202,198,128,104,189,211,212,212,214,217,218,156,107,170,215,213,212,211,92,110,127,142,148,157,168,177,184,189,199,213,158,110,167,214,213,215,216,218,216,160,111,170,217,214,214,214,94,112,130,144,150,159,171,180,186,191,197,220,176,116,139,213,215,216,217,221,217,166,114,176,218,216,215,215,95,114,132,146,151,161,173,181,187,193,197,222,188,119,118,206,217,218,219,224,208,158,115,185,221,219,219,218,97,116,134,148,153,162,173,182,188,194,198,221,202,135,112,189,219,220,221,228,197,149,111,196,222,209,183,151,99,117,135,149,154,164,175,184,190,195,199,216,219,164,120,166,220,221,222,231,198,149,109,161,133,97,75,61,101,119,137,150,156,166,177,185,192,197,200,206,207,169,123,141,218,222,224,228,192,149,94,65,53,51,49,57,101,120,138,151,157,167,179,186,192,197,206,197,160,140,121,121,209,223,223,216,179,139,80,48,44,48,42,46,101,120,138,150,156,167,178,186,192,196,217,207,178,177,122,103,184,215,205,193,165,122,69,41,36,48,46,38,102,121,139,151,157,168,179,186,193,198,225,229,212,202,137,99,121,160,173,172,144,102,51,48,34,38,50,44,102,122,140,151,157,169,180,187,193,194,221,235,229,203,151,109,93,110,142,154,129,90,32,40,45,31,41,47,101,121,140,151,158,169,180,188,196,166,167,200,224,204,178,133,114,110,107,114,110,85,28,24,48,41,31,40,109,123,137,147,154,165,174,190,212,169,144,141,189,179,184,160,143,138,105,81,89,81,36,13,35,50,37,34,106,106,111,115,118,123,124,173,221,203,173,129,131,149,144,158,153,147,126,93,76,73,48,12,21,45,47,38,107,107,108,109,110,112,109,172,203,207,190,144,102,103,108,99,126,152,149,124,94,69,56,18,13,35,48,44,110,111,111,112,114,114,112,173,179,168,191,160,105,78,100,80,83,162,178,158,129,90,62,29,9,24,45,44,111,112,112,114,116,116,115,183,194,158,161,168,118,93,89,92,82,141,199,187,156,119,82,46,12,15,38,45,111,112,112,113,115,116,115,183,196,160,120,137,140,131,100,103,105,147,171,203,179,137,102,71,23,8,30,44,111,112,112,112,114,116,114,172,196,150,111,107,131,147,120,124,136,169,166,195,192,150,113,88,37,7,18,38,111,111,112,113,114,115,112,150,194,157,138,119,113,132,140,153,170,187,207,193,176,133,119,94,46,16,10,28,110,111,111,113,113,114,112,137,201,179,152,125,123,135,157,176,203,208,211,186,155,104,111,89,48,27,8,16
4,168,168,168,167,165,165,164,163,164,163,162,161,161,159,158,157,155,155,153,151,149,149,147,145,143,144,143,141,170,170,169,168,167,167,166,166,165,164,163,162,162,160,158,158,156,155,154,153,152,149,148,147,145,144,144,143,170,170,169,169,170,169,167,167,167,167,166,163,163,161,160,159,157,154,154,154,154,151,151,149,147,145,144,143,172,171,171,170,171,171,170,170,169,168,166,166,166,167,165,160,161,162,155,154,153,153,153,150,148,147,145,144,174,174,174,173,172,171,171,170,168,168,168,157,147,150,150,157,135,131,158,159,156,156,151,150,149,148,147,146,175,175,175,173,173,172,172,170,170,170,169,156,147,142,119,92,100,92,100,150,146,149,158,150,151,148,148,145,176,176,175,174,174,175,174,173,171,157,158,140,103,71,125,75,36,102,87,64,68,62,116,159,150,149,148,145,177,177,175,176,176,176,175,174,168,166,157,144,109,38,84,84,23,78,85,35,40,55,47,156,152,150,149,147,177,178,178,177,178,177,176,176,173,129,88,116,140,64,73,103,93,82,64,27,70,84,36,122,161,150,151,149,178,178,179,178,178,177,177,174,176,139,63,20,147,113,77,105,132,112,71,73,71,94,57,109,164,150,150,150,179,180,179,178,179,179,178,178,165,111,57,0,57,90,41,63,79,108,85,84,74,84,58,79,166,151,152,151,180,182,181,181,180,180,179,180,158,117,91,65,28,38,39,29,18,69,100,82,71,71,69,48,154,155,152,151,182,182,182,180,179,181,180,178,164,145,111,70,34,38,54,44,49,43,56,65,70,100,97,37,126,162,151,150,182,183,182,181,182,182,180,178,168,133,89,59,33,38,47,59,79,63,37,55,134,126,104,50,89,167,150,151,184,184,183,183,184,183,179,180,167,127,87,48,31,38,53,73,77,67,76,93,108,127,122,77,61,164,152,152,185,185,184,185,185,184,180,179,172,143,105,60,37,48,62,81,79,86,122,142,122,126,129,86,40,151,156,152,186,185,186,187,187,186,183,177,167,145,114,70,40,46,67,92,103,112,131,137,133,118,97,74,27,144,159,153,186,187,186,187,187,186,185,177,166,156,127,89,51,44,69,95,118,135,146,141,121,106,81,44,38,158,156,154,185,186,186,186,186,186,185,175,160,161,136,102,70,46,56,111,133,151,150,138,112,93,69,16,91,169,154,154,187,187,187,186,187,188,186,173,157,156,140,109,78,56,58,127,144,150,144,126,100,81,48,27,154,160,157,156,187,187,187,186,185,186,187,170,151,150,148,120,85,71,70,133,145,143,135,113,88,69,21,91,172,157,159,156,188,187,187,187,187,186,189,169,149,153,150,125,96,81,82,133,141,138,120,95,76,49,27,156,164,160,158,156,189,187,186,189,188,187,189,175,156,160,154,130,105,80,80,132,133,126,106,76,62,15,94,176,160,162,159,158,189,187,186,189,188,189,190,180,160,166,150,131,113,84,74,121,121,108,85,65,31,35,166,166,163,162,161,159,189,189,189,191,190,189,190,181,170,165,148,134,117,94,76,100,105,88,69,47,9,133,175,164,162,162,161,160,189,189,191,191,190,188,191,181,171,160,146,131,115,103,86,84,91,74,55,8,85,181,165,166,164,162,161,160,189,190,191,192,191,190,188,175,170,161,149,140,128,115,98,77,77,60,28,40,173,170,169,167,166,163,161,160,190,191,191,192,192,193,177,166,171,162,146,142,127,109,100,76,65,48,13,122,181,167,169,167,166,164,161,161
8,166,168,170,171,172,173,174,175,174,174,173,173,173,172,172,172,172,171,171,169,167,167,166,166,165,164,162,160,167,170,172,173,174,175,175,175,176,175,175,175,175,174,174,174,173,173,172,171,169,168,168,167,167,166,164,162,170,172,174,175,176,177,178,177,178,178,178,177,176,176,175,175,175,174,173,173,171,171,170,170,169,167,165,164,172,174,175,178,179,178,179,179,180,179,179,179,177,169,176,176,175,175,175,175,173,172,172,171,171,169,166,165,174,176,177,179,180,180,180,181,182,181,179,188,183,135,166,179,178,176,176,176,175,174,174,172,171,170,168,167,176,178,180,179,181,182,182,183,183,182,181,199,172,111,157,181,180,179,178,178,175,175,174,173,172,171,171,170,178,180,181,181,182,183,184,185,184,184,184,202,152,104,164,183,181,181,180,179,177,176,174,174,174,173,172,171,179,181,183,184,184,186,186,186,186,186,189,202,142,105,174,185,183,182,181,179,178,178,177,176,175,175,173,172,182,182,184,185,186,186,187,188,188,187,195,203,139,115,179,185,184,182,182,181,180,179,179,178,176,175,174,173,183,184,186,187,188,188,189,190,190,188,200,192,125,120,182,186,185,184,184,182,181,180,179,178,177,176,175,175,184,186,187,189,190,190,191,192,192,189,205,189,127,130,186,187,186,179,184,184,182,182,181,180,179,178,177,176,187,188,189,191,193,193,193,194,194,192,212,190,147,144,186,190,193,147,151,184,183,184,182,181,181,180,178,176,188,189,191,193,194,195,196,196,195,195,213,187,160,156,195,205,198,149,112,131,137,166,185,184,182,182,180,178,189,191,193,194,195,195,196,197,197,198,213,192,173,168,206,206,202,175,133,93,91,104,163,161,180,182,182,181,191,193,195,196,197,197,198,199,198,208,219,188,174,179,200,189,190,191,158,140,110,79,105,92,126,182,182,181,193,195,197,199,199,200,200,201,200,216,205,171,164,163,193,171,137,176,175,167,128,79,77,77,73,163,184,182,194,196,198,200,200,201,201,199,207,212,177,145,148,145,182,154,107,110,173,164,127,77,53,66,64,140,188,184,197,199,200,202,202,202,202,203,224,214,181,145,126,119,176,170,130,76,181,174,134,82,50,61,75,163,188,185,197,200,201,202,203,204,203,217,231,208,173,143,124,106,163,172,121,79,170,185,137,86,56,60,121,187,189,187,197,200,203,204,205,205,206,229,228,199,165,140,125,93,109,147,127,120,174,189,139,86,60,108,181,191,190,189,200,200,202,204,206,206,213,233,215,185,169,148,126,110,167,196,187,184,177,175,133,83,97,184,194,193,192,190,201,202,204,205,207,207,223,231,207,191,170,138,130,178,215,208,186,189,164,147,123,86,107,197,196,195,194,192,201,203,205,207,209,186,215,229,206,195,162,138,174,214,211,193,169,174,152,122,113,85,135,199,196,195,195,193,202,204,207,209,199,118,142,217,208,195,154,172,207,217,201,183,160,161,148,101,94,89,183,200,197,196,195,194,203,205,208,208,142,85,81,133,185,182,157,178,202,207,193,177,149,149,135,90,71,136,203,201,200,198,196,194,204,207,209,173,94,78,77,76,98,130,138,163,180,190,181,165,142,139,109,71,85,188,203,202,201,199,198,195,205,208,190,109,81,76,73,75,57,47,72,92,117,144,151,143,132,114,79,66,158,206,204,203,202,201,199,197,205,201,135,83,78,73,71,71,67,28,43,49,51,59,76,87,87,71,56,124,203,206,205,204,203,201,199,196
1,185,187,188,189,190,190,189,189,189,187,186,186,187,185,185,188,186,182,179,180,178,176,173,172,170,169,166,165,187,187,189,190,190,190,190,190,189,188,187,187,186,188,187,160,171,184,179,179,178,176,173,173,171,169,167,166,187,187,189,190,191,191,192,191,191,190,189,191,185,152,170,137,127,192,183,179,178,176,175,174,171,170,169,167,188,189,190,191,191,192,192,192,192,191,190,191,190,129,130,151,102,128,149,186,178,177,176,174,172,171,170,169,190,192,192,192,193,194,194,195,193,192,192,192,186,121,132,151,84,111,108,180,182,178,177,176,173,171,170,169,192,193,193,195,195,196,195,196,196,193,192,197,180,110,141,139,82,131,104,167,186,178,179,177,176,174,172,171,193,194,195,198,198,198,197,197,197,197,159,168,176,108,155,142,89,137,97,158,190,181,180,179,177,176,174,172,195,197,198,199,198,199,199,199,198,201,146,133,179,112,155,135,90,143,104,156,192,183,184,181,179,177,175,173,198,199,199,199,200,200,200,200,200,199,130,138,160,105,155,118,99,156,106,150,194,184,184,183,180,179,178,177,199,200,201,201,203,202,202,201,204,193,115,148,143,106,160,116,119,159,95,151,197,186,186,184,182,179,178,177,199,200,201,203,203,204,204,203,205,194,117,148,157,112,163,129,116,155,97,158,198,188,188,187,184,182,179,177,201,201,202,203,204,205,206,204,209,186,104,148,167,110,156,128,108,159,111,155,199,189,188,187,185,183,181,179,200,203,204,205,206,206,207,205,211,187,109,144,157,93,137,103,106,164,105,153,203,189,191,188,187,184,182,180,201,204,206,206,206,208,208,206,212,193,114,126,155,117,136,144,143,128,106,135,193,193,191,189,188,185,183,182,203,205,207,208,208,209,209,207,214,183,131,147,143,147,143,148,150,114,115,98,134,201,190,190,188,186,185,184,204,206,207,208,210,211,211,211,213,191,170,142,119,127,130,138,137,125,107,112,110,189,193,190,189,186,185,183,205,206,208,209,211,212,212,212,218,195,155,120,112,115,135,146,127,118,137,153,110,160,202,190,190,186,185,183,206,207,208,210,211,211,213,214,219,191,149,114,115,121,144,151,155,162,150,163,132,130,202,191,192,187,185,184,208,207,209,211,212,213,214,215,215,194,155,116,116,128,148,160,170,187,156,151,147,108,191,195,191,190,187,185,208,208,211,212,212,214,214,215,211,195,164,126,106,131,150,165,169,171,168,141,121,87,184,197,191,190,188,185,208,209,211,213,213,214,214,215,209,198,174,139,113,117,152,177,179,173,154,130,105,94,196,195,191,189,188,186,208,208,211,213,214,214,215,216,208,193,172,143,120,116,158,187,179,167,147,126,89,134,208,194,193,191,190,187,208,210,212,213,214,215,216,217,207,189,173,149,126,129,167,184,172,158,138,118,83,178,204,196,194,192,190,187,209,211,213,214,215,215,217,218,213,192,175,160,141,138,174,180,172,153,129,97,106,207,198,197,194,193,191,189,210,211,212,215,216,216,218,219,218,196,177,166,150,137,164,167,157,139,117,73,164,210,198,198,196,194,192,190,211,212,213,215,217,218,218,219,219,207,185,171,155,136,149,153,135,119,79,115,211,203,200,199,197,195,192,191,211,212,214,214,214,216,219,220,218,210,188,163,152,144,143,139,118,83,109,208,207,203,201,199,197,194,193,190,210,213,214,214,214,218,220,221,213,207,190,166,168,148,135,125,94,81,195,213,204,205,201,199,197,194,193,191
12,187,189,192,191,191,192,193,192,193,195,194,193,194,197,195,195,195,194,194,194,195,195,193,193,193,192,192,192,191,192,193,193,194,195,196,196,195,197,197,198,197,194,197,199,197,195,196,195,197,197,196,196,195,195,194,192,193,193,195,196,197,197,197,199,198,199,197,185,195,213,187,174,195,200,199,198,198,200,198,196,196,196,196,194,194,195,198,197,198,199,198,200,197,229,213,176,154,236,206,159,147,207,198,201,204,199,200,199,199,199,198,198,196,198,200,200,200,201,202,201,205,255,235,200,135,210,239,187,114,184,196,164,182,208,201,203,202,201,201,199,199,200,201,203,203,203,204,201,211,255,252,211,146,169,253,204,148,108,189,160,114,190,208,204,205,203,202,201,200,201,203,203,204,206,207,203,215,247,255,218,164,136,244,212,174,99,153,174,94,136,218,204,208,206,206,204,201,202,204,204,205,207,208,204,219,232,242,234,180,117,208,221,174,118,93,154,103,126,222,207,209,207,207,206,202,204,206,208,208,210,208,208,210,189,220,234,209,164,142,208,161,102,55,106,100,137,222,208,210,209,210,208,205,206,208,209,211,203,213,239,180,148,174,198,210,162,94,118,120,63,90,136,84,153,223,210,212,210,211,211,205,206,209,213,207,224,254,227,148,121,129,119,162,123,87,103,145,119,171,152,84,183,219,212,214,213,211,211,207,209,210,208,223,255,235,195,148,124,85,78,100,147,137,154,197,226,198,131,83,207,224,214,216,215,214,213,207,210,212,211,247,226,200,207,172,141,88,82,88,87,100,125,181,235,241,217,149,124,207,220,216,216,215,215,209,209,209,216,246,216,185,213,184,143,100,75,98,101,98,90,186,223,243,221,178,129,118,223,217,216,216,215,210,209,207,236,243,212,169,196,201,189,143,83,102,123,110,185,231,219,211,190,180,172,106,197,224,218,218,217,210,212,211,231,255,230,188,137,196,223,163,98,98,127,183,239,231,220,203,156,163,154,108,209,223,219,219,219,211,212,213,224,255,243,212,158,142,179,212,181,100,204,248,231,222,208,191,153,132,111,126,231,220,219,220,220,212,212,213,224,255,250,221,179,173,149,162,159,182,255,247,233,215,198,176,146,112,83,171,231,222,223,221,220,212,213,214,221,248,252,235,193,189,181,136,172,249,249,249,229,198,183,154,139,99,92,215,224,222,224,223,222,212,212,212,216,239,245,245,215,197,184,177,171,242,247,244,217,179,161,141,134,86,133,235,221,223,224,224,223,211,210,213,210,226,248,249,234,210,188,190,165,226,245,226,204,161,138,144,122,76,180,232,221,224,224,223,222,211,212,215,211,208,251,251,236,214,193,186,176,206,238,205,180,146,131,148,103,91,221,225,224,223,223,222,221,212,214,215,219,206,237,238,213,201,191,185,183,189,209,188,155,138,139,135,83,147,236,222,224,223,223,224,223,212,214,216,222,210,231,226,196,188,185,187,177,180,189,176,161,135,132,109,95,215,229,225,225,223,223,223,223,212,216,216,219,213,226,223,199,198,198,191,177,173,189,186,153,116,114,83,171,235,224,226,225,225,225,225,224,213,214,217,217,213,222,230,211,210,204,195,187,169,197,177,127,105,89,117,230,223,227,225,226,226,226,225,224,210,213,217,220,217,219,240,215,218,212,199,197,159,191,156,121,103,82,192,235,226,228,227,227,226,226,225,224,137,140,141,149,145,191,250,227,224,222,205,198,154,178,149,123,89,98,211,213,215,218,221,223,224,225,224,224
12,64,82,96,105,109,118,128,137,141,145,149,155,160,165,169,173,176,177,181,183,184,186,186,188,190,192,193,193,68,85,100,107,112,122,132,139,143,147,153,157,163,168,173,175,179,188,189,185,186,190,192,192,195,196,194,195,71,88,104,108,113,125,136,143,146,151,156,161,166,171,173,179,180,157,170,196,188,191,195,202,194,197,198,197,73,91,107,111,116,127,137,145,148,154,159,165,170,176,183,189,195,109,67,158,205,155,101,161,207,196,200,199,76,94,107,113,118,130,139,146,152,157,162,167,174,159,131,202,204,123,71,62,134,145,76,53,182,206,201,202,78,96,110,115,121,133,142,148,155,160,164,167,203,147,71,83,191,156,104,54,57,147,109,46,115,221,201,204,81,99,113,118,125,136,144,150,157,165,163,185,216,149,100,48,152,194,121,82,47,131,130,70,86,221,205,208,83,101,115,120,127,137,146,153,160,165,169,203,197,183,131,92,105,209,150,90,38,93,130,80,69,217,208,210,87,105,117,121,130,141,148,155,163,163,185,187,156,209,166,114,63,169,179,95,39,49,106,75,50,210,213,213,89,107,119,123,132,144,151,157,161,164,218,142,131,202,182,113,61,108,182,92,43,26,90,59,40,209,216,215,91,110,121,126,134,145,153,156,143,135,169,133,114,164,176,127,73,53,148,86,43,21,69,54,46,212,217,217,94,111,121,125,135,142,166,186,170,164,159,122,61,40,156,123,58,17,111,92,45,19,60,56,55,219,218,218,96,112,122,126,137,142,179,214,202,206,191,91,44,0,93,90,37,1,66,114,88,26,77,77,75,231,216,220,99,115,123,129,140,141,190,208,159,161,141,60,44,0,29,70,50,0,25,159,116,41,82,101,37,188,229,220,100,117,124,130,141,145,183,186,138,106,133,90,54,5,0,71,62,6,60,150,126,50,53,88,12,129,238,219,103,119,126,132,141,149,173,154,114,67,105,129,49,21,0,33,36,61,144,140,114,48,32,50,26,159,235,221,102,118,127,130,142,148,171,181,143,97,70,129,54,33,7,15,64,133,158,145,120,86,58,41,62,217,229,233,103,118,124,129,140,148,176,183,142,107,74,99,67,34,14,28,117,154,157,156,141,104,69,26,136,248,219,195,105,120,125,129,143,149,178,178,158,143,84,63,87,67,41,53,162,165,163,172,135,92,57,48,212,190,174,125,106,119,126,131,144,151,175,176,170,152,78,78,117,94,57,77,178,175,183,162,105,80,46,88,204,85,93,170,106,119,126,133,143,152,169,168,162,158,79,97,116,85,91,151,188,187,176,131,84,65,44,82,85,106,69,91,105,119,125,132,142,153,162,156,162,150,93,106,118,91,137,164,189,178,150,103,66,48,67,140,82,124,82,72,106,119,124,132,144,155,165,164,170,144,101,111,118,89,138,147,172,162,131,83,56,33,109,183,99,58,129,186,76,83,86,90,96,102,105,132,162,141,114,118,113,91,127,150,148,138,98,60,37,73,88,95,97,83,140,125,70,72,71,73,75,74,67,86,164,143,121,116,106,99,108,138,129,92,62,43,41,90,175,128,117,126,86,117,76,75,79,81,82,84,87,81,160,168,135,112,108,105,103,123,110,66,45,46,143,168,232,200,202,153,121,183,76,77,77,79,81,81,83,78,140,153,130,106,97,91,93,105,87,57,25,84,229,192,158,162,171,133,91,105,76,78,79,82,84,82,85,81,145,150,87,71,70,73,84,84,61,43,18,72,221,171,169,190,222,180,114,81
22,99,105,110,114,121,126,132,136,139,142,144,145,147,148,149,149,147,146,147,146,145,145,144,143,142,141,140,138,100,108,112,116,123,129,133,136,139,142,145,146,149,150,150,151,150,150,150,148,147,146,144,145,144,143,141,140,103,111,113,117,125,132,135,138,142,143,146,149,150,151,150,148,151,151,150,150,149,146,148,146,145,145,142,142,104,111,113,119,127,132,137,141,141,142,147,150,150,152,152,191,109,138,154,149,156,157,130,149,146,146,144,143,105,112,116,120,128,134,138,141,146,196,108,142,156,153,159,206,88,123,160,145,181,151,93,154,147,146,145,145,107,112,114,122,130,136,140,142,150,208,100,133,160,152,166,194,94,123,162,148,191,124,98,157,148,148,147,146,109,114,116,124,131,138,142,145,145,202,123,121,164,152,173,201,106,126,162,160,190,111,103,160,149,150,149,147,109,115,119,126,133,138,144,148,144,213,159,112,166,154,177,201,112,129,160,177,200,105,119,161,152,152,151,149,110,117,120,128,135,141,143,150,143,206,187,109,163,157,181,191,112,127,162,198,193,101,134,161,153,154,153,150,111,119,122,128,136,142,146,153,146,197,204,107,151,160,186,195,115,122,171,210,169,87,144,161,155,155,154,152,113,120,123,130,136,144,150,154,147,184,226,143,132,164,193,204,118,123,197,213,142,82,157,160,157,156,154,153,115,121,125,132,139,145,152,151,169,186,157,149,122,167,193,195,107,142,225,200,118,101,168,160,159,158,156,154,116,121,126,134,142,147,154,149,217,224,181,144,86,153,181,175,158,187,215,186,94,132,170,161,161,159,158,157,116,123,127,136,144,150,155,157,224,235,216,159,77,81,148,165,190,184,174,142,89,162,168,164,163,161,160,158,118,124,128,137,145,152,155,167,214,200,189,197,144,94,90,123,161,163,153,93,106,176,166,167,166,163,162,160,118,124,129,139,147,152,155,170,228,197,169,212,211,152,83,67,120,149,137,77,118,178,167,168,167,166,163,161,119,125,129,139,148,154,153,184,236,182,154,153,215,194,137,72,70,116,127,82,134,180,170,170,169,168,166,164,120,126,130,140,150,156,153,197,232,178,131,100,157,206,184,129,66,69,93,75,158,179,173,173,172,170,168,166,120,126,130,140,149,157,154,208,240,182,121,146,130,195,216,180,122,63,57,78,173,177,175,173,171,171,169,167,121,125,130,140,149,156,154,209,233,185,116,158,157,219,218,198,160,108,58,87,184,174,175,174,171,171,168,167,121,125,130,141,150,157,155,207,236,174,129,160,186,238,219,196,175,118,53,98,188,174,175,176,174,171,169,168,120,125,131,142,152,159,157,204,242,161,151,153,211,243,225,190,149,102,53,112,189,177,178,176,175,173,171,169,119,125,131,141,150,159,157,198,239,163,169,151,230,238,219,192,128,84,58,135,187,177,177,173,173,172,170,168,121,126,133,142,152,162,162,195,236,176,181,153,239,228,214,179,119,76,65,169,192,186,184,182,182,179,178,179,102,105,109,113,115,119,114,142,235,198,190,163,233,214,198,155,104,77,70,115,118,116,116,115,115,117,109,99,78,79,79,80,78,77,74,89,229,207,189,157,213,199,162,128,93,78,71,66,64,63,63,61,61,49,58,122,87,87,88,89,87,89,87,95,215,191,172,149,173,174,135,114,100,83,73,78,77,76,74,77,74,105,186,196,87,88,89,88,86,87,87,84,186,165,148,139,143,157,144,116,103,86,76,78,76,76,75,69,126,206,192,159
20,140,142,144,146,149,152,154,156,157,158,159,161,163,162,164,165,165,166,167,167,168,168,168,168,168,168,168,168,142,144,146,148,151,153,155,157,158,159,160,162,163,164,166,153,156,166,168,169,169,169,170,170,170,170,170,170,143,145,147,150,153,154,156,158,159,160,162,164,165,165,175,139,129,147,150,171,172,173,173,172,171,171,172,171,144,147,149,151,153,155,158,159,160,162,165,166,167,168,183,143,145,147,118,167,173,173,173,172,172,172,173,171,145,147,149,152,154,157,159,160,161,163,166,167,167,169,181,145,158,158,113,162,174,174,174,174,174,174,174,173,146,148,151,153,156,158,160,161,163,165,166,167,166,174,191,155,164,163,118,161,176,176,176,176,176,175,175,175,147,149,151,153,156,158,161,163,165,165,166,168,168,181,189,154,176,166,123,159,178,177,177,177,176,177,176,176,147,150,152,155,157,159,161,164,166,166,160,159,169,183,174,148,179,162,119,154,180,178,178,177,177,177,177,176,148,150,153,155,158,161,163,164,167,170,156,124,148,186,165,142,181,154,114,157,181,180,180,178,178,178,177,176,149,151,154,157,159,162,164,164,165,174,158,130,114,158,152,138,179,152,116,165,181,180,181,179,179,178,177,177,150,151,154,158,160,162,164,170,154,153,166,157,143,121,113,120,159,145,116,169,181,181,181,180,180,180,179,178,150,152,155,159,160,161,172,184,152,129,164,174,167,133,95,92,131,132,112,171,182,181,182,181,181,181,180,181,151,153,155,158,160,162,174,165,163,140,120,143,173,157,116,92,111,112,107,173,182,183,183,183,182,181,181,181,151,153,157,160,162,162,177,156,135,122,80,87,162,179,145,100,96,101,102,172,183,183,184,184,183,182,182,181,151,153,157,160,162,164,177,153,129,119,92,93,140,190,166,118,91,94,100,172,184,184,184,183,182,182,182,182,152,153,156,160,162,164,183,175,149,126,105,112,131,193,180,140,99,86,94,172,185,184,184,183,182,182,182,181,152,154,157,161,163,166,190,171,139,122,115,126,146,195,182,151,110,81,89,171,186,185,185,184,183,182,182,182,153,155,157,161,164,167,190,168,141,131,131,136,182,205,174,149,114,80,90,174,187,186,186,185,183,183,182,183,154,156,159,162,164,169,195,174,150,139,141,149,206,205,174,145,117,83,94,178,186,186,186,185,184,184,184,183,155,157,159,163,165,169,197,180,158,140,151,169,208,195,176,145,118,86,103,183,186,186,186,185,184,184,185,184,155,157,160,163,166,169,199,186,164,150,152,180,204,185,171,140,115,84,114,185,186,186,186,185,185,185,185,184,154,157,160,164,167,168,196,188,170,168,155,184,200,182,167,142,110,84,123,187,186,186,186,186,185,186,185,185,154,157,161,164,167,168,188,193,181,182,167,174,190,175,163,142,108,83,124,188,187,187,187,187,186,187,186,185,154,157,161,165,166,168,177,194,187,186,174,169,180,170,162,141,107,84,128,188,187,187,187,187,187,187,186,186,153,157,161,165,166,168,171,191,189,178,165,167,171,164,162,150,109,86,142,189,187,187,187,187,187,187,187,186,153,157,160,164,167,168,170,189,181,168,156,158,167,163,160,151,111,92,161,189,188,188,188,187,187,187,187,186,153,157,162,164,166,168,171,188,176,165,156,155,167,164,156,147,106,103,179,188,188,189,188,188,188,188,188,187,153,158,162,164,167,169,172,192,187,177,162,159,170,158,149,139,98,121,188,189,189,189,189,188,188,188,188,188
23,112,117,120,125,128,129,132,134,137,137,139,140,140,140,142,142,141,141,140,140,140,139,137,138,137,135,134,134,113,118,122,127,130,131,133,136,138,140,141,142,142,143,144,146,143,144,144,143,143,141,141,141,139,138,137,137,114,119,125,129,131,134,135,138,139,142,144,145,146,146,146,147,146,144,146,152,147,143,142,144,143,141,139,138,116,122,127,131,134,136,137,141,143,144,145,147,148,148,146,149,154,141,112,116,144,148,146,145,145,144,142,140,119,124,129,133,136,138,140,142,144,146,147,150,150,150,157,159,160,143,136,102,123,138,146,150,147,146,144,144,122,126,132,136,138,139,143,145,146,149,150,152,152,176,154,150,178,109,116,128,124,68,118,156,148,148,146,145,123,129,133,138,139,142,145,147,149,150,154,150,171,172,134,101,108,41,85,91,67,79,147,154,151,151,149,148,126,132,136,139,142,144,147,149,151,152,155,153,184,160,151,39,81,133,160,156,146,159,157,155,154,153,151,152,128,132,137,140,144,146,148,152,153,155,156,162,186,163,161,62,113,176,156,161,163,156,157,157,155,155,154,153,129,133,138,142,146,148,151,153,156,157,154,166,177,160,158,120,141,158,140,97,140,162,158,159,157,157,156,155,129,135,141,144,147,151,153,155,156,168,163,151,149,152,170,169,172,165,141,50,80,177,159,160,160,158,157,156,131,138,143,146,150,152,155,155,161,187,168,144,129,136,147,136,133,122,107,55,67,179,160,163,163,162,160,158,133,138,144,148,151,154,157,155,169,191,169,137,103,111,159,165,156,139,115,56,51,176,163,166,165,164,163,162,134,139,144,149,152,155,159,157,181,191,173,137,112,109,123,128,135,151,127,56,30,172,168,166,165,164,163,163,135,141,146,150,153,156,158,162,192,194,177,153,152,155,134,102,86,97,87,40,25,166,172,167,169,166,164,163,136,143,149,152,155,158,158,170,197,191,174,153,152,136,152,133,109,93,54,30,17,67,153,181,169,170,167,165,138,143,149,154,156,160,162,187,195,193,178,143,130,96,131,152,115,81,41,20,32,74,66,144,180,170,170,168,138,145,150,155,158,156,174,201,197,190,155,89,77,73,65,105,133,81,26,18,31,64,27,13,161,176,170,170,140,146,152,155,158,159,194,207,194,165,140,103,55,29,17,135,163,63,25,11,28,42,23,0,99,186,169,172,140,147,152,158,155,188,211,200,182,151,138,107,59,27,94,144,119,45,13,20,38,41,22,7,124,183,171,172,142,148,153,155,166,212,207,194,166,150,137,94,51,30,77,78,59,23,2,32,51,37,21,113,184,175,174,173,143,149,155,151,192,217,200,186,164,150,124,89,45,5,10,13,29,24,18,35,34,48,144,189,177,177,177,175,144,150,154,165,215,207,199,176,154,138,114,74,39,13,30,41,49,43,35,17,88,172,187,177,180,178,178,178,145,149,151,207,214,194,182,162,144,126,96,59,36,24,48,57,57,40,26,116,193,186,180,180,180,180,179,179,144,145,171,225,198,181,166,145,127,106,83,55,33,31,52,50,32,15,132,199,184,184,183,182,180,180,180,180,155,147,191,216,191,171,158,139,116,98,77,53,29,30,44,22,29,143,195,185,187,186,184,184,182,181,180,180,12,97,220,196,184,158,132,126,108,82,64,37,20,14,17,66,168,199,188,188,187,186,185,185,184,182,182,181,0,83,197,179,177,142,131,118,67,49,26,0,0,57,129,193,194,186,188,188,187,186,186,186,185,183,181,182
18,50,57,61,68,77,84,91,99,104,105,107,110,115,118,122,124,129,131,132,133,134,135,138,138,140,141,143,146,53,58,62,69,77,86,93,100,104,107,110,108,116,115,120,128,126,127,135,137,135,137,138,140,140,142,144,147,55,59,62,70,78,87,96,98,102,109,103,127,140,89,72,109,145,116,86,128,142,138,140,141,142,145,146,147,54,59,65,73,83,88,92,104,143,97,80,153,133,106,87,135,163,110,67,51,128,143,141,142,145,148,147,149,54,60,64,74,79,90,84,160,167,98,88,166,118,126,132,145,123,98,96,51,60,150,140,143,146,148,150,151,56,61,64,70,96,116,80,169,156,115,108,138,119,116,117,118,87,103,101,89,40,118,149,145,148,149,150,152,57,61,67,69,174,138,88,87,171,124,117,74,107,84,90,77,76,121,109,103,69,56,151,147,148,150,152,154,59,64,55,110,198,150,126,77,141,151,110,54,111,101,54,18,106,133,125,120,100,47,85,158,149,152,154,156,58,65,54,145,165,165,152,101,76,153,113,62,74,139,87,15,60,125,131,142,108,77,39,114,160,151,153,155,58,64,59,146,107,155,144,101,42,101,106,60,35,95,75,15,41,132,158,149,112,82,60,53,156,151,154,156,58,62,68,164,99,112,101,60,33,44,64,43,12,39,19,97,166,152,141,136,109,86,65,50,149,158,156,158,59,59,75,182,136,131,95,42,25,21,43,33,0,0,112,183,161,147,131,107,91,76,57,71,160,155,157,159,61,55,98,180,127,114,93,49,15,10,50,29,0,91,194,178,162,139,118,87,67,64,45,107,164,156,159,160,62,50,113,203,152,129,104,68,31,29,41,28,78,182,184,181,158,127,105,79,60,52,47,146,159,158,160,160,62,52,104,215,169,155,137,106,87,89,77,97,166,186,185,168,141,114,90,71,56,39,77,163,156,159,160,162,62,56,99,216,180,161,134,111,106,109,105,150,184,181,175,150,126,102,82,64,54,38,118,163,157,161,163,163,63,58,93,212,184,161,138,125,124,120,132,164,177,174,151,132,114,91,74,63,51,48,150,158,160,162,163,163,62,61,81,201,186,166,148,140,135,135,147,161,164,160,128,113,98,81,65,60,39,81,162,156,159,163,163,163,60,67,66,178,191,177,166,152,139,136,142,149,142,139,117,98,85,72,62,57,38,134,161,157,158,162,164,164,60,68,64,142,198,186,184,165,141,126,114,124,120,118,108,84,72,64,59,38,75,162,157,159,160,163,165,165,61,68,71,100,193,181,180,169,140,116,104,104,109,112,102,78,66,61,55,29,123,161,157,159,161,162,164,165,61,68,78,77,159,172,152,148,133,111,100,99,102,108,105,83,68,63,40,51,155,155,158,160,163,163,165,166,61,66,79,79,111,173,144,128,114,96,100,104,87,101,101,80,62,60,28,87,162,154,159,161,163,164,166,166,60,66,79,89,91,153,128,114,112,103,122,118,86,92,100,81,61,56,26,107,163,155,159,163,163,165,166,166,58,67,80,90,87,131,133,123,131,116,116,118,89,79,93,81,64,54,20,92,168,156,160,162,163,166,166,166,55,66,78,87,89,115,157,139,136,117,107,114,92,72,83,76,62,57,25,64,164,154,159,161,162,164,166,166,56,66,77,86,93,101,174,158,142,121,104,108,98,73,68,73,63,55,35,36,156,156,158,161,162,163,165,165,56,66,75,86,95,98,171,168,143,120,100,103,102,70,64,73,61,53,41,28,141,158,159,161,163,164,165,165
20,157,158,159,158,159,161,161,162,162,162,162,162,162,162,161,160,158,156,157,156,155,154,152,151,148,147,145,143,160,162,163,162,163,164,165,165,165,165,165,165,165,165,164,169,159,127,159,160,158,157,155,153,152,150,148,146,165,166,166,167,168,168,168,168,169,169,169,169,169,169,168,175,165,107,131,150,162,160,159,157,156,153,152,150,168,170,171,171,171,171,172,173,173,174,173,172,172,172,172,176,166,97,86,107,154,164,163,161,159,157,155,153,172,173,174,174,174,176,176,177,177,178,176,176,177,177,176,181,162,89,107,112,131,169,166,165,163,161,159,157,177,177,178,178,178,180,180,180,180,180,179,180,181,181,179,186,159,88,129,128,110,171,169,168,166,164,162,160,179,181,181,182,182,183,184,183,184,183,184,184,184,184,182,193,164,96,137,137,104,170,173,171,170,168,166,163,183,184,184,185,185,185,186,186,186,186,186,187,187,186,185,199,153,92,145,155,107,168,177,174,173,172,170,166,186,186,186,187,188,188,189,189,189,189,189,189,189,189,190,203,141,93,160,157,102,163,181,178,176,174,173,171,189,189,190,190,191,192,192,193,192,192,191,193,191,180,178,199,147,108,174,155,97,160,183,181,179,178,175,173,192,193,194,194,194,194,195,196,195,194,194,195,195,187,170,163,144,104,158,159,106,159,184,183,182,180,178,176,194,195,195,196,196,196,197,198,198,197,197,197,196,198,199,170,134,109,144,161,116,155,188,186,184,182,180,178,196,197,198,198,199,200,201,200,200,200,200,200,196,167,168,170,162,128,112,134,107,148,191,188,186,183,181,179,198,200,200,200,201,201,201,201,202,202,202,202,201,168,103,153,176,124,80,91,89,136,194,190,188,185,183,181,200,201,201,202,202,202,202,202,203,203,203,204,204,169,80,126,171,141,94,76,71,123,196,193,190,187,185,184,201,202,202,203,204,204,204,204,205,204,204,204,198,170,115,104,137,154,121,103,74,105,196,195,192,190,188,187,203,204,205,206,206,206,206,206,206,206,206,199,195,174,142,100,85,131,138,116,79,86,193,197,194,193,190,189,206,206,207,207,208,208,207,208,208,208,203,196,177,172,164,132,94,104,130,129,93,77,182,200,195,194,193,191,207,208,209,209,209,209,209,209,210,209,199,185,144,125,152,145,99,87,114,151,123,77,148,202,198,195,194,192,209,209,209,210,211,210,211,211,212,210,198,188,151,93,97,133,87,70,104,158,151,96,96,195,200,198,196,194,210,211,212,212,213,212,212,213,213,212,199,183,158,118,79,103,90,78,138,181,166,110,78,185,202,200,198,195,212,213,214,214,214,214,214,215,214,214,198,191,181,129,90,103,120,122,186,186,156,97,86,193,202,200,199,196,213,214,215,215,215,215,215,216,216,216,198,192,186,139,107,110,173,198,200,167,138,80,112,204,202,201,200,198,213,214,215,215,215,215,216,216,217,218,198,185,178,148,113,111,185,202,184,148,119,75,146,208,203,201,201,199,213,214,214,215,215,215,215,216,217,218,200,177,169,149,118,111,176,187,166,131,99,74,176,207,202,202,201,199,214,214,215,216,216,216,216,217,218,218,208,179,169,151,129,118,172,183,154,114,79,93,200,205,202,201,201,194,214,214,216,216,217,217,217,218,219,219,217,187,169,155,135,113,156,167,133,92,64,148,209,206,203,190,158,116,215,215,216,217,218,219,218,218,220,220,217,193,175,155,134,113,129,135,99,68,78,195,205,173,143,102,63,50
8,133,137,138,141,143,141,144,145,144,144,144,145,146,144,143,143,141,141,140,139,138,137,137,136,134,134,133,132,136,138,141,136,127,146,145,145,145,145,145,146,146,145,144,144,144,142,141,140,140,139,139,138,137,135,135,133,138,137,148,137,81,137,149,147,146,146,146,147,147,146,146,145,144,143,144,143,141,141,141,139,139,137,136,135,139,139,151,149,72,115,155,148,149,148,148,148,147,147,147,146,145,144,144,144,142,142,142,139,139,138,137,137,139,141,148,162,76,101,158,149,151,149,149,148,149,148,148,146,145,146,146,144,144,142,142,142,141,140,139,139,140,144,146,155,81,89,161,151,153,153,155,150,151,154,152,149,147,148,147,146,145,143,145,144,142,142,140,139,142,146,146,162,116,77,156,154,151,139,139,156,148,131,141,155,153,151,148,148,146,145,145,145,144,144,142,140,144,146,144,164,133,64,142,156,168,146,101,132,165,110,84,142,136,148,153,147,149,148,146,147,146,144,142,141,145,148,147,160,140,83,111,162,181,178,126,80,160,129,124,85,85,87,148,154,149,151,148,148,148,145,143,141,147,150,149,158,165,116,98,151,175,184,152,73,119,134,140,124,109,93,105,148,151,151,150,151,149,146,144,144,149,151,150,154,169,113,109,141,145,174,156,83,85,125,104,151,153,155,121,77,148,151,149,150,149,147,144,144,149,151,153,154,166,149,128,155,142,146,158,83,61,106,56,123,141,154,131,62,136,156,150,151,151,149,147,146,150,153,156,154,176,173,119,121,139,120,157,115,58,83,56,87,138,160,134,64,135,158,150,151,152,151,149,147,151,154,157,154,174,150,101,100,110,93,138,156,78,60,48,97,159,171,138,64,136,159,151,153,153,152,152,148,153,155,157,154,173,172,129,99,92,86,102,115,83,68,43,110,164,171,135,63,137,161,154,155,155,153,152,149,152,156,158,155,178,179,143,108,87,87,83,129,128,86,105,145,159,161,118,55,126,164,155,155,155,154,152,149,153,156,158,156,181,176,148,123,90,73,98,149,148,151,160,152,136,127,94,49,115,167,156,156,155,156,154,150,152,156,159,158,185,176,153,136,111,76,92,142,174,180,169,145,115,93,74,49,144,162,158,156,155,155,153,151,154,157,160,160,186,177,157,139,123,91,90,152,185,179,163,137,99,74,45,88,168,158,159,158,156,155,153,152,156,158,161,161,182,181,164,146,134,103,102,166,182,168,141,118,84,54,48,152,163,160,160,158,158,157,155,153,157,158,164,162,176,184,168,151,144,112,107,171,169,146,120,95,72,36,107,172,159,161,161,159,159,158,156,155,156,159,162,162,172,185,173,155,140,110,111,159,156,135,111,83,55,55,161,163,162,161,160,159,159,158,157,155,155,158,160,161,173,188,170,151,127,95,116,145,128,121,105,76,34,120,171,159,161,161,160,158,158,157,156,154,157,160,163,158,176,184,161,142,114,104,121,132,109,102,98,48,68,169,162,162,163,162,160,159,159,157,155,154,157,160,163,156,187,180,162,145,124,119,124,119,102,94,74,49,148,168,163,163,162,162,160,160,157,155,162,159,157,159,159,166,190,175,164,149,127,129,121,100,94,80,44,116,172,163,164,163,162,161,160,163,166,163,126,74,157,161,153,174,182,156,149,138,125,125,111,84,83,54,74,168,165,165,164,164,166,168,165,146,110,64,22,8,158,161,149,181,176,143,124,116,114,125,105,68,78,40,130,172,165,166,164,156,140,124,88,41,8,0,1,6
1,188,190,190,190,191,191,191,191,192,191,191,191,191,190,190,192,182,167,185,184,184,183,180,179,179,178,175,174,192,192,193,194,194,194,195,195,195,194,194,195,194,195,185,183,191,124,181,195,186,186,183,182,181,180,178,176,196,197,197,197,198,198,198,199,198,198,197,198,196,203,189,135,189,121,131,160,191,188,187,185,185,184,181,179,200,200,200,201,202,202,201,201,201,201,202,201,199,210,180,129,189,110,94,114,174,196,189,187,187,186,184,181,202,203,203,203,205,205,204,204,204,205,205,207,206,213,158,133,186,95,125,130,152,203,191,191,190,189,186,184,206,206,207,206,206,207,207,207,206,206,209,187,189,216,139,147,191,101,147,134,138,206,193,194,193,191,189,187,210,210,211,211,211,211,211,211,209,208,212,176,142,217,137,166,180,98,155,137,137,209,197,198,195,193,192,189,212,213,213,214,214,213,214,213,214,212,215,163,139,205,127,181,155,99,175,147,138,211,200,201,198,196,194,192,215,216,215,216,215,214,215,214,214,214,217,139,155,182,126,193,152,125,197,138,137,214,202,202,200,198,197,195,218,218,218,218,218,218,217,217,217,218,216,132,162,185,136,198,157,131,197,129,140,217,204,204,203,200,199,198,219,219,220,220,220,221,220,219,219,221,207,119,167,194,127,195,153,116,193,142,152,219,205,206,205,203,201,199,222,221,221,222,222,222,221,222,220,225,198,111,177,179,105,182,127,115,202,139,154,221,208,208,208,206,204,201,223,224,224,223,224,225,224,224,223,226,203,115,170,165,115,187,124,130,197,131,152,223,210,212,210,209,206,203,225,226,226,226,226,226,226,225,224,228,185,120,178,170,171,190,165,133,156,133,156,224,213,214,212,209,207,206,226,227,226,226,226,226,226,226,227,222,185,182,169,147,160,162,168,152,135,126,129,221,214,214,213,211,209,208,227,228,228,228,227,228,228,228,227,222,203,172,140,132,144,164,168,146,135,141,110,201,222,215,215,213,211,209,228,229,229,229,229,229,230,230,230,224,188,143,129,131,147,181,172,157,188,179,116,172,230,217,217,215,214,211,231,230,231,231,231,231,232,233,228,219,182,134,133,143,157,186,195,194,173,191,144,144,231,218,218,215,214,213,231,232,233,232,232,233,232,234,223,216,191,139,121,147,173,195,206,217,163,188,167,119,219,221,219,217,216,213,233,233,233,233,233,234,233,236,219,215,201,151,115,148,179,197,203,207,189,171,135,101,217,224,220,220,218,215,234,234,233,234,235,235,235,238,216,213,205,165,129,132,179,210,209,205,176,162,106,123,233,222,221,221,220,217,234,234,234,235,235,236,235,240,217,200,198,166,138,130,190,222,217,203,166,137,93,182,235,223,223,221,221,219,233,234,234,235,236,236,235,239,225,194,188,169,145,140,199,215,199,182,149,113,105,228,227,225,225,222,221,220,233,234,234,234,235,235,236,238,232,200,191,175,155,150,199,206,189,162,134,90,152,240,225,226,225,222,220,220,233,235,235,235,235,236,236,237,238,204,190,186,163,149,187,190,174,143,108,87,213,231,226,226,223,221,219,217,234,235,235,235,236,237,236,237,240,212,194,185,164,149,169,162,139,113,71,162,239,226,228,226,224,220,217,217,234,234,235,236,237,237,237,238,235,211,199,185,166,152,154,144,113,77,153,240,229,229,228,227,225,224,227,217,234,234,235,236,236,237,237,241,221,204,207,190,183,165,143,129,84,114,244,232,232,230,228,227,226,212,180,128
3,111,124,132,134,140,147,150,154,158,161,164,166,168,170,171,170,174,164,172,173,173,174,174,173,173,173,174,174,112,125,133,135,142,150,152,156,159,162,167,170,171,172,173,171,202,135,147,180,173,174,175,173,173,172,174,174,115,127,134,136,145,152,156,160,162,165,169,172,175,176,177,175,215,143,110,184,179,178,178,175,175,174,174,173,118,129,134,139,146,155,159,164,166,170,173,177,180,181,182,176,222,157,93,190,172,178,180,179,179,177,177,175,121,132,137,142,150,158,162,167,171,175,180,180,182,187,187,193,198,139,90,213,146,153,190,181,182,180,181,180,125,136,141,144,154,162,165,170,174,182,179,185,195,170,205,242,201,188,140,195,169,110,197,186,186,185,185,185,129,138,144,150,159,165,170,172,173,171,203,236,230,170,120,152,205,220,180,119,170,104,148,202,190,189,189,188,133,143,148,155,163,168,171,206,203,170,208,183,200,211,179,62,109,162,103,84,144,143,103,162,202,193,194,193,137,147,151,158,168,169,201,206,179,187,155,99,93,191,204,102,110,115,81,151,157,156,115,119,209,197,199,197,140,150,154,162,171,178,218,149,89,150,90,82,54,73,114,77,91,69,62,183,196,195,130,120,212,201,203,202,142,152,157,164,174,184,223,167,101,160,131,122,88,100,84,62,69,72,69,187,227,212,139,124,216,204,206,206,146,154,159,168,179,183,228,186,133,173,194,168,137,121,106,100,90,85,72,166,230,212,138,129,219,207,209,209,150,158,162,172,184,185,225,211,180,162,161,124,126,135,134,143,113,128,119,158,228,205,126,128,223,210,213,212,152,160,164,174,186,190,232,214,166,144,140,126,133,144,163,157,170,192,217,215,199,173,115,124,226,215,217,216,155,163,167,178,189,193,235,214,160,133,128,136,142,159,179,189,216,222,230,216,170,128,111,119,227,218,219,219,158,166,171,181,192,194,233,227,183,145,129,149,150,167,203,211,222,230,227,197,148,114,94,137,235,221,224,223,162,168,174,184,195,196,229,244,202,167,135,134,150,184,214,218,232,238,222,182,134,105,80,203,233,226,226,225,164,170,175,186,198,199,221,249,220,190,157,133,150,180,212,228,244,237,206,162,130,80,132,242,227,230,229,227,166,172,178,190,199,204,216,251,236,205,175,154,154,168,205,234,242,229,191,145,113,76,201,238,229,231,230,228,170,173,182,193,201,209,214,246,244,222,187,177,171,167,199,231,232,212,171,131,90,106,241,232,231,231,235,240,172,176,185,194,204,211,213,230,241,237,208,191,181,164,209,217,223,189,147,116,71,170,245,232,242,248,228,189,175,180,187,197,207,214,217,216,234,238,220,203,188,161,199,209,197,163,124,90,87,237,249,238,206,145,82,48,176,181,190,200,209,216,221,214,222,230,222,209,189,162,160,196,172,139,111,69,173,247,166,102,58,40,40,38,180,183,193,203,211,217,221,222,214,230,223,209,190,164,145,172,166,129,95,105,204,101,44,36,41,37,39,31,183,186,195,205,213,220,222,226,214,234,219,200,184,155,141,154,149,120,87,106,89,47,57,30,28,47,32,25,185,188,196,206,214,220,223,227,220,232,199,179,176,154,146,142,132,120,89,48,32,45,66,32,9,38,45,18,181,187,196,207,214,219,223,228,213,235,215,192,195,174,151,141,124,120,77,50,34,18,57,48,6,19,49,35,183,188,198,208,216,221,223,233,206,231,234,212,216,179,156,141,120,117,69,45,47,10,28,57,20,6,33,46
8,198,200,203,203,206,206,208,209,208,208,207,207,206,206,206,205,205,204,204,201,200,199,199,198,198,196,193,191,199,203,206,207,209,209,209,209,210,209,209,209,209,208,208,208,207,207,206,204,203,201,200,200,200,198,196,194,203,206,207,208,210,211,213,212,212,212,213,211,210,212,209,210,209,209,207,207,205,204,204,203,201,199,197,196,206,208,209,213,215,213,213,214,215,214,214,214,211,204,213,210,209,209,210,209,207,206,205,204,205,202,198,198,207,210,212,213,215,216,215,216,217,217,211,226,228,151,200,217,212,211,211,211,209,207,208,206,204,203,201,199,210,214,216,214,216,217,218,218,219,218,212,243,213,117,187,221,213,214,213,212,209,209,208,207,206,203,204,203,213,215,217,217,217,219,220,221,220,220,216,249,181,110,201,221,215,217,216,213,211,210,208,208,208,206,206,204,214,216,219,220,220,222,223,222,222,221,224,250,166,114,217,222,219,217,217,214,213,213,211,211,209,209,207,206,217,217,220,222,222,222,223,224,225,221,233,253,163,129,221,221,220,216,217,217,215,214,214,212,211,209,207,207,219,220,222,223,225,225,226,227,228,221,241,236,139,136,225,221,222,221,219,217,216,215,214,213,212,211,209,208,220,223,224,226,227,227,227,229,230,222,248,233,140,150,231,222,221,217,224,218,216,217,216,216,214,213,211,210,223,225,226,229,231,231,231,232,233,224,255,231,171,170,225,224,238,165,177,233,223,222,216,215,216,215,213,211,224,226,228,230,233,233,234,234,234,230,255,222,188,182,234,248,242,173,120,159,162,206,226,223,216,217,215,213,225,228,230,232,232,233,234,235,235,234,255,230,207,195,253,249,242,213,160,97,98,115,207,194,224,217,217,216,228,231,233,234,235,236,237,239,234,248,255,223,207,215,243,223,233,235,187,173,133,86,128,96,150,229,215,216,231,232,235,238,238,239,239,241,235,255,249,203,196,190,240,206,150,222,211,207,158,90,93,95,71,203,223,216,232,234,237,239,239,240,241,235,246,255,206,167,181,168,224,185,113,122,215,195,153,88,58,85,66,164,234,216,235,238,239,241,241,241,242,239,255,255,218,172,148,135,215,211,164,67,233,211,162,97,54,76,77,201,229,219,235,239,241,242,242,245,240,255,255,249,207,170,150,117,206,218,142,75,208,230,163,101,68,59,143,236,223,223,235,239,243,243,245,246,242,255,255,239,195,164,153,104,113,175,145,132,211,237,166,104,59,124,232,228,226,225,238,239,241,243,247,244,252,255,255,217,203,181,153,116,204,242,231,225,213,216,161,91,112,239,231,230,230,226,240,241,243,246,246,248,255,255,244,228,207,162,142,218,255,253,220,230,196,174,150,96,120,249,231,234,232,229,240,242,246,245,255,221,255,255,242,238,194,151,211,255,251,231,194,213,181,140,144,91,156,247,231,232,233,231,242,243,247,249,255,122,161,255,247,238,176,205,255,255,238,218,189,195,180,116,116,89,233,240,235,234,233,232,242,245,245,255,168,94,85,154,238,224,183,213,244,248,230,215,175,178,166,112,69,161,255,237,239,237,234,232,243,245,255,217,100,94,96,81,110,164,168,203,223,232,219,198,167,172,134,79,83,242,242,240,241,238,236,233,244,251,240,119,95,92,87,97,60,44,85,106,140,179,187,174,164,142,93,57,199,255,242,243,241,240,238,235,244,248,152,91,95,88,85,85,89,27,50,55,51,60,83,100,101,82,53,155,255,243,244,244,242,240,237,234
12,39,44,56,73,79,86,91,98,100,102,106,108,112,114,117,120,121,123,124,125,127,128,128,129,130,129,129,130,39,45,56,74,81,88,93,99,100,103,106,109,113,115,118,120,123,123,125,127,128,129,130,130,131,131,131,131,40,45,58,73,82,90,95,98,102,106,107,109,115,120,118,124,115,125,128,129,130,130,131,133,133,134,133,132,42,47,62,76,83,91,96,99,103,108,111,124,87,88,129,136,79,68,130,126,129,135,132,136,135,135,135,135,42,49,63,79,85,93,97,102,108,101,144,143,96,59,108,140,93,45,74,89,67,118,140,135,136,136,137,136,43,50,64,79,86,93,98,103,109,103,166,152,114,77,85,141,106,76,39,85,55,59,138,137,137,138,139,139,45,53,68,81,87,94,99,104,107,112,168,172,131,84,80,145,110,82,35,73,78,36,108,146,137,139,141,140,46,54,70,81,89,95,102,106,102,131,141,161,147,88,70,150,111,77,31,69,75,38,117,145,141,141,142,142,47,54,70,82,91,98,100,99,109,139,135,124,130,78,49,126,108,65,28,72,67,43,132,145,142,143,143,143,47,55,72,82,91,95,109,156,167,101,58,65,105,60,33,86,73,47,33,70,57,54,144,143,145,144,144,144,48,57,76,83,92,90,149,192,140,82,57,30,86,60,27,66,60,41,31,58,47,62,149,143,146,145,145,145,49,59,75,84,91,99,162,131,117,88,70,31,68,97,36,62,92,56,41,86,63,71,154,144,146,146,147,147,49,61,77,86,88,114,157,98,103,102,75,45,17,58,17,33,87,53,42,106,84,37,95,156,146,148,148,148,50,62,78,86,87,124,150,103,78,102,73,61,5,0,15,45,52,46,74,82,56,33,45,146,150,149,148,149,50,63,79,86,86,129,168,120,86,73,63,47,0,11,61,104,110,100,100,81,62,56,57,147,151,149,149,149,51,67,81,89,85,136,167,120,100,64,44,36,20,47,104,131,132,121,103,76,67,50,87,157,149,150,150,150,52,68,83,89,87,137,162,131,109,74,56,78,70,107,140,144,138,115,89,73,55,41,124,155,150,151,152,152,53,68,81,90,90,132,153,125,105,78,77,88,81,141,142,142,137,106,80,69,48,63,153,150,152,152,153,153,54,70,81,91,93,119,150,122,101,82,80,71,87,134,132,139,126,94,73,63,43,107,159,150,153,152,153,153,55,72,81,90,97,110,149,117,103,92,85,82,107,126,131,131,108,83,67,53,51,143,153,153,154,154,155,156,57,74,85,91,100,103,139,122,114,113,97,89,114,123,125,109,88,72,61,44,84,158,151,153,155,156,156,156,59,74,83,93,101,100,129,134,116,109,94,82,92,109,109,89,68,60,55,49,133,156,152,153,156,157,157,157,61,76,83,92,100,104,120,144,110,101,87,74,70,84,83,72,57,59,45,93,158,151,154,156,156,157,157,157,61,77,83,93,101,106,113,151,123,98,77,67,72,74,73,67,55,52,55,144,152,153,156,157,157,157,157,158,60,77,84,93,100,106,110,149,139,102,80,78,87,74,73,72,56,36,91,159,151,155,157,157,158,158,158,158,63,77,85,92,102,104,124,162,151,113,100,95,93,74,64,60,51,25,102,161,151,156,157,157,158,159,159,159,63,78,85,95,97,126,152,144,172,120,108,95,87,71,59,49,46,22,105,161,151,156,157,157,158,159,159,159,64,79,86,95,98,160,167,114,154,127,113,92,82,68,48,47,44,24,117,160,152,156,158,158,159,159,159,159
21,116,118,120,121,123,124,125,126,127,126,127,127,126,126,125,124,122,122,122,122,119,118,118,117,115,115,112,112,117,119,121,123,124,125,127,128,128,128,129,128,128,127,127,125,127,124,123,123,122,120,119,118,118,116,114,113,118,120,122,124,125,127,129,129,130,130,130,130,130,129,128,126,109,123,126,124,123,122,120,120,119,118,117,115,118,121,123,123,125,128,131,131,132,131,131,131,130,130,131,137,68,101,132,125,126,123,121,121,120,119,120,118,119,122,125,125,127,129,132,132,132,132,132,132,132,130,136,129,65,107,132,125,126,127,124,124,123,121,120,120,120,123,125,126,128,131,132,133,133,133,133,134,134,129,143,123,67,119,132,127,126,113,121,126,124,123,121,120,122,124,126,128,130,131,132,134,135,135,136,135,135,131,149,118,72,127,132,130,117,73,90,132,123,124,123,122,123,125,128,130,131,132,135,136,136,136,136,137,136,136,151,110,77,133,132,126,110,67,101,131,124,125,124,123,123,126,129,131,133,135,136,136,137,137,138,137,134,140,146,101,76,136,132,122,101,68,125,129,127,127,125,124,124,127,130,132,134,136,136,137,138,138,137,139,139,146,141,87,79,140,127,121,88,87,135,128,128,127,126,125,126,128,131,132,135,136,138,137,139,140,139,112,111,159,138,75,100,139,115,113,69,113,135,130,129,128,127,126,126,129,131,133,135,137,138,139,141,139,146,114,70,101,101,61,115,132,118,90,73,136,133,132,131,129,128,127,126,130,132,134,137,137,138,141,140,144,145,142,115,82,56,56,124,123,116,68,107,140,133,132,131,131,129,127,128,131,133,135,137,139,140,140,144,154,144,159,147,97,57,58,85,94,85,71,135,136,135,135,133,132,130,128,129,131,134,136,138,140,141,142,154,117,134,134,134,93,61,55,60,68,57,104,143,135,135,135,134,132,131,129,130,132,135,138,140,141,140,150,146,100,110,83,125,111,71,54,54,57,67,136,139,137,136,136,135,135,132,130,130,133,136,138,141,142,141,155,142,111,78,47,110,128,81,57,52,49,98,147,138,139,138,137,136,135,134,132,131,134,138,139,142,142,145,157,119,93,83,58,117,137,96,69,56,49,122,146,139,139,139,138,137,135,134,133,132,136,138,140,142,142,152,156,123,114,89,107,163,131,109,84,59,50,125,147,141,141,139,138,137,137,136,133,132,136,137,140,144,141,157,157,135,103,98,162,154,117,106,85,64,60,131,147,143,142,139,140,139,138,136,135,133,136,138,141,144,143,163,170,130,102,131,174,138,110,92,85,66,69,140,145,143,143,142,142,141,138,136,135,134,137,139,141,143,143,168,155,122,116,140,170,137,119,84,73,65,84,149,144,143,143,142,142,140,138,137,136,135,137,140,142,145,145,163,142,144,117,144,164,130,113,88,69,62,106,153,145,145,144,143,142,141,140,138,137,132,135,138,140,144,146,152,157,157,116,155,148,118,97,80,72,64,127,151,145,144,144,143,143,142,139,138,136,131,135,138,141,143,145,149,158,147,111,139,134,105,83,73,67,74,141,148,145,143,142,142,141,141,138,138,135,133,135,138,141,144,145,151,148,131,113,124,126,103,87,75,60,91,151,146,147,145,143,144,142,141,139,138,136,132,136,139,142,144,147,150,144,129,129,129,125,121,88,72,55,107,153,146,147,145,144,144,143,142,140,138,136,132,136,138,141,144,146,148,148,150,149,134,118,119,86,65,55,122,153,147,147,145,145,143,143,141,141,138,137
17,167,171,172,177,182,185,187,190,193,194,196,198,199,199,199,198,199,199,197,193,199,197,197,197,197,195,193,193,169,172,174,178,183,186,189,192,194,196,197,199,200,200,201,202,198,204,206,155,187,201,197,198,197,196,194,194,170,173,174,179,184,188,191,193,195,197,199,200,201,202,203,201,210,203,162,132,175,206,199,198,198,197,197,196,171,174,176,180,185,190,192,194,196,198,200,203,203,204,205,201,217,212,170,114,172,208,200,200,199,198,198,197,172,175,177,181,186,191,193,196,198,200,202,203,205,205,206,203,212,217,193,126,178,208,201,202,201,200,199,198,173,176,178,183,187,191,194,197,199,202,203,204,205,206,206,205,209,227,207,148,187,209,203,203,203,202,201,199,175,177,180,184,189,193,196,198,201,203,204,206,207,208,208,207,212,234,213,163,184,211,204,204,203,203,202,200,176,178,181,185,190,194,196,199,202,203,205,207,208,208,209,207,214,237,216,167,168,214,206,206,204,204,203,202,177,179,182,187,191,195,197,200,203,205,207,208,210,213,211,208,224,240,226,180,150,212,207,208,207,205,204,203,177,180,182,189,192,196,199,202,204,206,208,209,194,197,214,212,234,237,223,186,145,209,210,209,208,207,205,204,179,181,184,189,193,197,201,203,205,208,212,212,184,139,205,225,205,210,217,181,142,205,211,209,209,209,208,206,180,182,185,190,195,198,202,204,205,203,214,205,185,123,152,185,170,205,213,183,136,203,213,210,210,209,208,208,181,182,186,191,195,199,201,206,213,213,216,187,180,169,138,129,174,215,200,185,141,201,216,211,210,210,209,209,182,183,187,193,196,201,201,215,227,218,232,215,211,195,150,120,172,203,192,182,144,193,218,212,211,211,210,210,182,185,188,194,198,202,203,216,226,181,207,225,212,192,176,139,133,167,176,170,138,179,222,213,214,213,212,211,183,185,189,194,198,203,206,210,220,191,141,157,185,199,197,171,130,121,143,151,134,171,223,213,214,214,213,212,184,186,190,195,199,204,208,209,221,206,161,110,138,177,210,190,162,132,121,137,127,178,224,214,216,215,213,213,185,186,190,197,200,205,208,211,231,215,226,143,134,188,221,196,178,156,122,120,115,183,224,215,217,216,215,213,186,187,191,197,201,206,210,209,239,230,192,156,160,244,224,201,182,163,119,107,107,195,224,217,217,216,216,214,186,188,192,198,203,207,211,209,241,226,182,188,217,237,221,188,182,153,116,105,116,218,221,219,218,218,217,216,187,189,192,198,203,208,211,211,240,220,207,203,246,215,213,193,166,150,118,98,163,231,218,220,219,219,218,216,187,189,194,199,204,208,212,214,236,232,208,211,243,217,211,210,171,136,115,105,208,227,220,221,220,219,219,217,188,189,194,200,205,209,213,214,232,239,209,216,235,213,198,195,162,126,109,120,224,222,222,222,221,220,219,218,188,190,194,200,206,210,214,214,227,238,212,204,219,191,180,167,134,120,103,150,234,221,224,222,221,220,220,219,188,190,195,200,206,210,214,216,223,232,201,182,194,182,168,147,126,123,105,200,233,224,224,223,222,221,220,220,187,189,195,200,204,209,214,214,223,227,179,171,187,194,176,150,133,112,138,232,225,226,225,224,223,222,221,220,186,188,194,200,203,215,163,92,195,224,206,206,193,197,186,150,131,107,189,232,225,226,224,223,222,221,220,220,187,188,194,200,208,195,127,87,155,224,210,199,193,192,183,153,122,118,215,228,225,225,225,224,223,221,220,220
1,78,82,96,115,128,135,138,144,150,154,156,159,163,166,167,173,171,171,172,173,173,175,175,174,177,177,176,176,78,83,99,117,131,137,141,147,154,158,161,164,166,177,178,139,175,177,178,176,177,178,178,178,180,178,177,177,80,86,103,122,134,139,144,152,159,163,165,167,172,190,196,105,158,151,166,185,180,181,182,182,181,181,180,180,82,88,106,125,137,142,148,156,163,167,173,187,134,188,198,103,150,153,119,194,185,186,187,186,186,185,183,182,83,91,110,127,139,145,151,161,167,169,180,207,114,172,198,97,150,175,99,181,195,191,191,190,190,189,188,187,83,94,114,130,142,147,154,163,170,174,183,212,120,161,205,110,153,183,99,164,202,194,195,195,194,194,192,192,85,96,118,134,147,151,158,167,173,176,189,217,128,146,196,114,156,197,115,152,209,197,199,199,198,198,197,195,85,99,120,137,148,153,159,169,178,185,151,210,136,126,178,116,155,193,119,147,214,201,203,203,203,202,201,200,86,102,124,141,152,156,163,171,191,195,117,199,141,106,186,124,147,203,130,147,219,205,206,207,208,206,204,204,87,105,127,144,153,157,168,174,202,186,110,203,151,95,175,119,144,213,140,148,222,210,212,212,211,210,208,208,87,107,129,146,156,159,171,177,206,184,103,194,169,99,145,140,145,193,145,143,226,214,216,215,214,213,212,211,89,109,132,149,157,162,174,179,215,196,100,162,191,154,157,164,143,135,122,140,228,215,217,216,217,216,214,214,90,112,133,151,161,165,176,182,216,201,102,140,156,161,165,129,135,166,117,142,234,217,221,221,221,220,218,218,92,115,137,154,163,168,180,186,213,205,146,160,99,143,123,106,183,206,182,139,208,229,221,223,223,222,221,222,94,118,141,158,166,171,182,189,223,209,163,138,100,128,94,144,197,202,207,152,119,218,228,226,226,225,225,223,95,120,142,160,168,174,186,194,232,209,157,120,106,135,138,199,220,206,186,130,94,149,239,226,229,228,229,227,96,122,145,162,169,175,188,197,238,219,160,116,120,144,159,217,229,214,173,124,90,132,239,228,230,230,230,229,99,125,147,165,172,178,192,198,240,230,172,118,131,157,181,216,227,211,171,128,80,152,245,230,233,231,230,234,102,128,150,167,173,181,194,200,236,236,193,129,138,166,187,228,229,203,162,126,79,173,247,231,235,242,246,230,105,132,153,169,175,183,197,201,233,240,212,144,146,170,183,232,225,199,151,119,76,190,243,242,239,206,146,86,108,134,156,172,177,186,198,203,227,236,222,159,162,160,179,223,218,192,140,112,78,207,252,183,106,64,45,50,110,136,158,174,179,187,200,207,218,226,228,174,177,154,182,211,214,180,133,102,87,232,159,61,40,45,48,42,112,137,160,175,179,188,200,208,210,219,226,191,180,161,167,209,195,168,122,95,103,140,56,64,53,27,46,49,114,139,163,175,179,188,198,206,209,213,218,197,185,175,150,189,182,154,117,97,78,44,37,60,67,23,27,54,115,142,164,178,180,190,201,208,214,208,215,204,192,186,154,161,180,145,116,94,63,56,36,32,66,40,15,39,117,143,167,180,182,193,202,210,217,211,216,213,200,187,151,146,168,141,110,84,67,56,44,16,45,58,15,21,115,143,168,180,184,195,203,211,217,215,219,203,183,176,153,147,145,130,99,76,71,45,44,21,26,57,32,8,128,147,164,173,179,189,196,205,213,209,218,210,180,183,173,146,131,125,95,73,66,55,35,26,16,43,46,11
7,191,194,196,198,200,201,202,203,204,204,205,205,206,207,207,206,205,205,206,205,205,205,203,202,201,200,197,197,194,196,198,200,202,203,205,207,207,206,207,207,208,208,208,208,207,207,207,207,207,208,206,205,203,201,200,199,196,199,201,201,203,205,207,208,208,208,209,208,209,208,208,209,209,209,208,208,208,209,208,207,206,204,202,200,197,200,202,203,205,207,207,208,210,210,210,211,211,210,211,212,211,212,212,211,210,210,210,208,208,206,204,203,199,201,202,205,206,208,209,211,212,211,211,213,213,214,214,215,215,214,213,213,213,212,212,211,209,208,206,206,200,202,205,207,208,210,212,212,213,214,214,215,215,216,215,215,216,215,215,215,215,214,213,211,210,209,208,207,201,205,208,209,211,212,213,214,215,215,216,216,217,217,216,216,216,217,217,216,217,215,214,214,212,212,211,209,203,207,210,211,213,214,214,216,217,217,217,217,217,219,219,218,219,219,219,219,218,217,216,215,214,214,213,210,207,208,210,212,214,215,216,218,219,218,221,221,219,220,221,221,221,220,221,220,220,218,217,217,215,215,214,213,206,208,211,214,216,218,217,217,222,223,213,217,221,221,220,221,222,223,223,222,220,220,217,216,219,216,216,214,207,211,213,214,215,217,222,228,234,229,195,179,200,213,212,211,214,217,212,216,209,216,203,240,224,211,218,215,209,211,213,218,223,230,232,233,234,233,218,169,171,192,200,200,198,190,193,196,195,200,189,197,183,215,220,218,209,217,227,233,234,232,229,225,218,217,203,168,158,170,187,197,198,199,194,185,190,191,178,186,182,209,220,215,231,236,234,234,228,223,217,206,202,216,217,178,152,148,152,164,175,181,172,178,184,186,182,195,188,195,192,203,242,234,229,222,214,211,207,208,212,221,217,181,157,163,162,156,145,131,165,173,170,170,166,169,177,177,187,218,238,230,221,210,203,199,200,200,208,215,195,166,149,154,170,176,166,146,177,238,227,223,223,224,221,224,228,226,233,228,220,209,200,200,201,195,196,210,207,171,138,137,152,156,160,148,161,237,229,231,230,229,228,228,226,225,230,227,223,214,207,204,206,205,203,215,217,180,157,164,163,156,153,127,214,238,231,232,230,230,229,228,228,226,224,219,218,216,213,209,206,204,204,208,208,182,167,175,172,166,150,175,243,232,232,231,231,231,231,230,229,227,211,209,212,215,215,211,204,200,201,193,175,164,146,142,150,158,136,223,234,234,234,232,231,232,230,229,229,233,135,148,176,206,213,203,193,181,170,159,155,153,100,95,119,137,163,240,234,235,234,233,231,231,232,237,233,174,63,64,78,110,155,171,159,167,176,201,224,236,152,116,145,168,225,238,236,236,235,234,234,239,222,202,170,118,62,58,53,52,53,86,210,231,238,240,237,240,227,204,227,239,239,237,237,237,235,239,238,195,140,123,108,100,56,52,50,52,33,107,252,231,234,234,235,237,238,241,238,236,237,237,236,235,239,220,147,109,117,115,105,96,50,48,44,45,28,98,250,232,236,236,237,237,237,236,237,238,238,237,235,241,243,153,101,81,96,100,93,92,48,48,47,50,19,91,245,226,233,234,236,236,238,238,239,240,241,241,244,226,148,127,110,77,71,91,87,83,56,56,52,41,15,62,156,149,152,156,158,161,164,167,168,171,172,170,181,155,88,116,108,69,63,74,78,76,66,60,45,24,19,56,128,122,122,123,124,125,125,126,128,126,126,130,146,129,78,108,102,65,59,68,71,73
24,174,175,177,177,178,179,181,181,181,181,182,182,181,181,182,180,179,177,176,175,174,173,171,169,168,166,165,163,179,181,181,182,183,184,184,185,186,186,186,184,185,185,184,184,184,182,181,179,178,177,173,176,174,169,169,168,182,184,185,186,188,188,188,191,191,190,190,188,187,189,190,188,187,186,185,184,183,182,178,164,166,178,174,172,186,187,189,190,191,193,194,194,193,194,192,192,193,192,193,192,191,190,188,187,185,183,188,152,93,179,177,174,189,192,193,194,194,194,195,194,195,198,198,195,195,194,194,194,193,193,192,190,189,185,195,157,71,170,181,177,192,194,195,195,196,199,200,199,201,195,192,203,197,197,197,197,196,195,194,193,193,188,203,155,74,174,186,181,195,197,198,198,201,203,203,202,205,189,108,181,209,202,204,203,202,200,198,196,196,193,208,139,81,186,187,184,199,201,203,204,205,204,204,205,210,177,98,110,216,204,207,206,205,203,203,202,198,201,214,136,93,198,189,187,203,204,206,206,206,207,207,206,212,193,133,74,197,211,206,209,208,206,204,204,197,210,203,113,106,206,190,190,206,207,208,208,210,211,211,211,211,209,160,70,161,222,206,210,211,211,205,208,206,227,185,79,126,209,192,194,209,209,212,212,212,212,213,212,212,216,182,95,111,227,210,214,211,205,216,203,149,159,187,71,165,207,197,197,211,212,214,214,214,213,214,214,214,217,198,135,73,207,221,212,179,140,164,181,125,57,111,89,197,205,202,199,214,214,215,216,216,217,217,218,217,220,208,154,63,151,235,194,181,159,130,124,120,119,60,86,213,204,204,202,214,216,218,219,219,220,220,220,220,221,216,172,112,98,227,180,196,156,146,138,151,158,44,106,225,203,204,203,217,219,220,220,221,223,222,222,222,221,223,197,161,71,147,142,198,179,127,133,135,134,63,114,226,205,206,204,219,220,222,223,222,223,224,225,223,222,227,213,165,108,116,121,165,199,107,40,106,172,103,65,217,211,210,207,220,221,223,224,225,225,225,225,226,227,230,218,196,186,123,86,115,181,95,22,69,177,137,53,148,226,208,209,223,224,227,228,228,228,228,228,228,228,230,220,209,183,97,58,99,154,72,20,102,199,187,99,60,217,212,211,225,226,229,230,230,230,230,231,231,232,231,228,210,168,128,104,107,151,95,55,202,208,180,106,49,204,216,212,226,229,230,231,231,232,233,233,234,234,233,234,213,196,180,123,103,153,99,157,224,191,160,71,61,220,213,214,226,228,231,232,232,233,235,234,233,234,234,236,210,200,202,137,118,86,143,228,219,174,144,59,86,234,213,215,224,226,230,230,232,234,232,232,233,233,234,237,214,191,204,163,136,82,199,223,205,169,132,53,116,236,215,214,226,228,230,231,233,234,233,233,234,235,235,238,218,189,183,173,152,91,174,217,193,155,117,37,139,233,214,214,229,228,230,233,234,234,234,235,236,237,236,240,225,182,183,182,172,115,154,219,190,139,92,30,180,231,217,216,229,230,231,232,234,235,236,236,236,237,239,239,237,197,190,178,184,137,117,202,167,112,55,47,223,221,219,218,239,239,240,240,241,242,242,242,241,241,243,241,246,213,197,187,181,139,90,158,129,81,19,90,240,217,217,220,179,184,191,196,202,206,210,216,219,223,229,230,236,216,200,183,163,132,103,109,124,68,20,184,240,227,229,215,91,91,89,92,94,96,99,104,106,107,111,115,108,166,213,178,164,157,124,107,129,52,42,160,164,162,141,88
6,183,185,187,190,191,193,194,193,192,192,193,194,193,192,192,191,192,191,191,190,188,188,188,188,186,186,184,183,184,186,189,190,192,194,194,195,196,196,196,195,196,195,194,193,193,193,191,190,189,190,190,189,190,189,185,184,184,187,190,191,194,196,197,197,199,197,196,196,197,196,194,194,194,193,191,192,191,191,191,190,190,189,186,184,183,186,190,192,194,197,197,197,197,196,197,197,196,196,197,196,195,194,193,193,191,192,192,191,190,190,188,186,185,188,190,192,195,196,197,198,198,198,199,199,197,196,194,194,194,194,196,195,195,197,195,193,192,190,189,188,186,189,190,193,196,196,197,198,198,197,194,190,183,174,153,154,163,169,167,168,170,165,178,182,190,192,190,189,186,190,192,193,196,196,193,199,198,200,198,192,188,175,153,154,168,175,162,164,147,139,191,172,150,195,189,190,187,190,192,197,201,190,194,207,209,210,203,194,185,170,154,152,164,173,168,164,161,147,179,160,131,195,190,190,189,192,192,222,210,190,192,194,190,181,172,167,156,153,136,111,107,124,131,135,141,137,141,142,175,195,191,191,190,192,195,232,208,188,179,172,178,184,184,176,162,158,164,128,108,179,176,179,180,184,186,192,198,194,192,191,191,191,198,213,182,177,181,187,196,202,195,182,173,168,167,139,103,202,206,204,203,202,200,199,197,195,194,191,191,189,219,210,175,173,179,187,197,202,198,189,178,165,147,121,89,166,207,199,199,199,198,198,199,197,194,193,192,192,221,193,175,172,175,179,184,187,188,181,165,157,141,97,89,131,209,199,200,201,200,199,198,198,196,194,192,196,206,177,189,186,184,184,189,197,198,181,156,158,160,97,85,119,204,202,201,202,201,200,200,198,196,195,192,194,204,205,204,192,195,196,204,208,192,174,162,163,150,105,91,113,198,205,205,204,201,200,199,197,197,195,193,191,207,235,213,188,192,193,196,194,186,175,167,150,123,105,101,118,204,204,205,204,202,200,199,199,198,196,191,190,212,230,209,188,185,174,160,156,159,155,149,135,97,95,108,176,209,204,203,203,203,200,198,197,196,195,191,189,210,215,206,193,175,157,151,167,179,170,168,173,112,76,118,202,205,203,201,201,201,200,198,196,194,192,194,191,211,206,219,199,175,176,197,205,185,167,158,166,122,88,144,209,203,203,202,201,200,199,198,197,195,192,193,191,211,204,213,197,179,181,190,190,173,160,151,137,113,101,164,212,202,203,202,200,200,199,199,198,196,194,191,185,206,209,201,188,181,180,183,177,167,149,132,111,97,107,183,207,203,204,204,202,201,200,198,198,197,196,194,185,197,207,206,188,178,172,165,146,131,111,98,111,149,178,205,202,204,205,203,204,203,202,200,200,199,189,181,174,193,205,192,175,162,151,133,112,100,82,101,170,200,197,194,194,195,195,193,194,195,194,194,194,184,226,107,111,185,194,168,157,150,141,111,99,103,102,109,112,111,110,111,111,111,110,108,108,109,110,111,101,211,255,105,108,181,183,156,159,153,129,105,101,109,115,101,97,97,95,96,96,96,94,93,92,92,92,78,194,255,255,105,116,185,172,155,169,150,117,103,100,114,110,102,103,103,103,100,105,113,106,107,110,109,85,196,255,255,255,100,126,192,169,159,168,146,117,100,101,121,107,103,103,102,101,100,101,103,101,102,107,87,176,255,255,255,255,100,141,195,166,154,158,132,108,99,108,120,104,104,103,102,100,100,100,100,101,105,92,144,255,255,255,255,255
10,159,163,166,170,172,175,177,179,179,180,181,182,184,183,184,184,184,184,184,185,184,184,185,184,184,184,182,181,162,165,169,172,175,178,180,182,182,184,185,185,187,186,187,186,187,187,187,187,187,186,188,187,186,186,185,185,166,169,172,176,178,181,184,185,187,187,188,189,190,189,189,193,191,190,190,190,189,189,190,191,190,189,189,188,168,172,175,179,182,185,187,189,190,191,192,192,191,195,192,155,194,195,194,193,192,194,194,193,193,193,192,190,170,174,178,181,185,188,191,192,193,194,195,195,194,198,208,134,167,204,194,195,195,196,196,197,197,195,195,193,173,177,181,184,187,190,194,194,195,196,198,199,199,197,212,179,133,199,199,198,198,200,199,199,199,198,196,195,175,179,182,186,190,193,195,196,198,198,199,200,203,201,209,210,146,173,208,200,200,201,202,202,201,201,200,198,177,181,186,189,192,195,197,198,200,201,201,201,196,194,212,232,186,143,207,203,203,204,204,203,203,202,202,201,179,183,187,192,195,197,199,200,200,203,202,210,194,127,178,239,217,137,181,212,206,208,207,207,207,204,203,202,180,185,190,194,196,199,201,203,204,205,205,210,214,151,114,219,230,157,147,217,206,209,208,209,208,208,207,206,183,188,192,193,198,201,202,205,207,208,208,206,231,218,160,162,216,183,126,214,209,211,212,211,210,210,209,208,184,189,193,196,199,202,204,206,208,210,209,222,203,245,211,129,147,204,114,201,214,213,214,213,213,212,210,210,187,189,194,197,200,203,207,207,208,210,220,222,159,168,214,145,99,143,110,181,221,212,215,214,214,214,214,213,186,190,194,198,201,205,208,210,206,226,234,205,156,75,171,183,113,83,88,133,225,215,216,216,215,215,216,215,187,191,195,199,202,207,209,210,207,227,241,165,106,38,110,179,144,91,79,95,205,222,216,217,216,216,216,216,188,192,196,201,204,208,209,213,224,202,235,192,121,45,85,167,170,136,91,85,182,227,217,219,219,217,216,216,188,192,198,202,205,209,209,216,240,222,203,236,201,90,99,195,186,164,102,76,170,231,218,221,222,219,218,217,190,192,197,203,207,209,210,212,215,241,210,188,220,167,155,216,191,168,111,71,165,233,220,222,222,220,220,219,188,192,197,201,205,207,208,215,190,200,202,139,192,197,131,221,193,158,121,74,159,234,220,223,222,221,220,221,190,193,198,200,204,208,208,213,226,193,175,151,129,179,203,232,202,157,112,79,158,233,220,222,221,220,220,220,189,193,197,201,204,207,208,211,235,225,178,162,156,236,249,229,195,147,108,82,167,233,220,221,221,220,220,221,189,194,198,201,204,208,210,210,225,233,199,193,190,245,234,215,184,131,107,86,157,234,221,222,222,221,221,221,191,195,198,202,204,207,209,211,218,232,210,222,197,240,225,195,170,133,124,98,146,234,221,222,222,222,222,221,189,195,201,204,209,212,214,217,220,226,223,232,199,214,220,189,174,146,150,105,158,237,223,225,225,224,222,222,121,126,132,134,140,147,151,152,154,218,235,229,210,185,207,190,189,161,148,102,161,218,211,216,218,221,221,222,106,106,104,101,102,103,105,107,99,166,233,213,200,183,185,196,206,165,131,103,108,118,120,123,127,129,129,133,112,113,112,116,119,118,116,116,115,119,209,195,189,182,180,200,206,161,123,101,117,117,114,115,114,113,111,111,110,110,111,114,114,117,115,113,117,105,182,201,187,186,193,189,195,162,118,101,128,125,122,128,126,127,127,129
14,134,138,142,145,148,151,152,154,157,159,160,162,165,165,166,166,168,169,171,172,173,173,173,175,175,175,176,176,135,139,143,146,149,152,154,156,158,159,162,164,166,167,166,167,170,171,172,174,174,174,175,176,176,175,176,177,137,140,144,148,150,152,155,157,159,159,162,164,165,167,150,146,158,164,173,174,175,176,176,176,176,176,178,178,138,141,145,149,151,153,156,159,160,161,166,168,168,157,117,108,143,151,162,148,158,178,178,177,177,176,179,179,138,141,145,149,151,155,157,159,163,176,176,159,138,123,106,100,133,150,142,109,129,179,179,180,180,180,180,180,139,143,146,150,153,155,157,164,187,185,156,108,90,93,103,100,114,121,118,95,94,169,179,181,182,181,181,181,140,144,148,152,154,156,158,192,188,158,122,82,64,67,86,100,122,121,125,127,113,141,173,181,183,183,182,182,141,144,148,152,156,156,167,200,155,108,79,79,73,87,93,75,91,109,117,138,144,129,134,183,183,183,183,183,142,146,150,153,156,157,187,185,129,81,70,78,75,99,94,78,98,109,123,119,120,100,104,178,183,184,184,184,143,147,151,153,156,161,201,166,114,71,66,67,70,84,77,98,110,87,121,133,131,120,110,134,182,185,185,185,143,147,150,153,156,177,195,146,92,67,72,78,76,70,73,101,105,101,171,182,175,143,124,109,147,179,185,185,144,149,151,155,157,195,173,126,92,83,78,84,81,83,85,82,102,160,183,184,185,182,155,143,122,172,187,187,144,149,152,156,170,203,168,127,105,85,79,81,82,89,91,83,147,183,184,184,186,173,157,144,116,183,187,187,144,149,153,156,193,199,162,123,97,81,77,77,81,88,87,103,179,184,185,186,185,162,158,123,140,188,188,188,144,150,153,155,200,189,154,121,88,76,74,78,85,85,81,119,184,184,186,187,181,155,149,108,144,189,189,189,145,151,154,157,205,186,145,108,80,75,77,81,86,77,75,106,179,185,186,183,151,151,145,110,130,189,189,189,145,151,154,162,209,179,144,111,84,77,80,85,89,89,94,105,137,173,179,162,159,157,141,110,141,190,189,189,146,151,155,173,208,176,142,108,85,76,79,90,94,102,116,124,122,120,142,159,166,156,129,130,182,190,189,189,146,151,154,185,203,172,141,108,87,78,80,90,101,114,126,135,138,129,157,163,158,139,135,183,190,190,190,190,146,151,153,195,196,171,141,113,92,81,83,95,114,127,140,140,140,137,153,153,133,134,183,192,192,192,191,190,146,151,154,202,191,168,141,116,97,83,84,103,129,141,149,149,141,137,130,129,122,180,192,192,192,192,191,191,147,152,156,201,185,164,139,121,100,85,85,112,142,148,149,149,144,131,107,113,174,190,191,192,192,192,192,192,147,152,162,197,178,159,142,125,103,88,88,119,147,146,146,144,141,116,118,174,190,191,192,193,193,193,193,192,148,152,168,193,173,161,148,127,110,94,92,117,147,146,132,136,124,118,179,191,191,192,193,193,193,193,193,192,147,152,179,194,175,166,151,129,111,100,90,108,138,132,122,123,114,171,191,192,192,192,193,193,193,193,193,193,147,151,195,195,179,170,150,128,111,99,89,101,122,116,122,106,159,189,191,192,192,192,193,193,193,193,193,193,149,156,205,192,184,169,139,120,105,92,90,100,106,105,120,156,189,189,191,193,193,194,194,194,194,194,194,194,147,171,203,185,179,158,124,110,98,90,95,96,92,108,163,188,190,189,191,193,194,194,194,194,194,194,194,194
3,146,150,155,158,159,161,161,163,165,165,166,165,160,187,164,144,166,162,161,159,158,156,153,151,150,148,144,141,150,154,159,161,163,165,166,167,169,170,170,170,161,203,202,106,166,169,164,162,162,161,156,156,153,150,146,144,154,158,161,165,168,169,170,170,173,173,174,173,168,190,232,104,141,177,167,167,165,164,161,159,156,154,150,147,157,159,164,167,169,172,173,174,175,175,175,178,176,178,245,152,123,182,172,171,170,168,165,162,160,157,153,151,158,163,166,169,173,175,176,178,177,178,178,180,184,171,243,191,104,178,176,173,171,170,168,166,163,160,157,157,163,167,170,174,176,177,180,182,181,183,180,181,177,205,247,197,121,168,185,178,176,172,169,169,166,164,161,158,166,169,174,176,177,179,182,185,185,182,199,230,207,223,252,255,189,141,182,182,179,176,175,174,171,168,166,163,167,171,176,180,180,182,183,186,191,179,230,255,255,236,175,206,210,107,181,181,164,183,177,176,173,171,170,167,169,173,179,183,185,187,186,189,187,204,248,246,202,221,174,109,206,155,191,148,145,191,180,180,176,175,173,170,173,177,182,186,188,190,190,193,190,250,255,250,180,149,191,137,161,208,187,119,105,195,184,183,181,179,175,174,176,180,185,188,192,193,194,193,201,247,197,158,214,192,150,181,111,111,172,144,87,156,196,185,184,181,179,177,179,183,188,192,193,195,196,194,211,250,163,59,95,138,90,105,86,43,144,182,126,117,197,189,186,184,182,180,181,186,190,193,194,196,200,196,220,243,141,102,85,79,80,78,73,46,122,198,132,131,198,191,188,187,185,183,183,188,193,195,197,200,203,196,231,241,187,152,104,88,88,96,70,57,172,207,130,150,201,191,190,190,188,186,185,190,194,197,200,202,204,199,238,252,199,134,95,91,102,100,106,141,210,215,133,166,202,193,194,193,190,188,189,191,194,199,203,204,207,203,238,250,178,114,92,98,114,118,179,222,230,207,124,179,204,197,196,195,193,189,189,193,199,201,203,205,208,204,237,249,180,122,103,106,121,152,228,246,224,182,115,187,207,201,199,196,195,192,191,195,200,202,204,208,212,207,236,255,195,135,113,115,126,188,248,243,208,144,126,202,205,201,200,199,195,194,193,198,202,205,208,209,213,208,231,255,203,148,120,124,146,222,245,231,198,126,134,213,205,204,210,207,204,193,193,199,203,205,207,210,211,208,228,255,219,163,128,131,159,239,242,214,184,118,150,217,207,210,160,122,116,94,194,198,202,205,208,210,212,213,224,255,225,177,142,143,167,233,235,199,167,112,172,216,220,167,83,86,77,72,194,199,205,210,211,212,213,216,218,247,229,192,160,162,162,213,210,172,142,112,196,219,208,114,79,76,70,64,196,200,205,209,212,213,215,217,219,242,236,204,171,171,142,171,176,136,112,129,225,207,122,71,54,35,17,0,197,202,204,208,212,214,215,226,185,205,253,213,176,154,119,127,132,115,89,165,155,94,73,61,39,20,19,6,203,206,210,215,218,218,226,192,26,149,255,210,158,120,91,96,100,99,46,16,45,76,74,72,49,13,6,11,175,182,188,192,196,198,208,88,0,113,246,182,121,82,66,83,82,63,0,0,5,56,55,63,74,31,0,7,91,93,97,98,97,95,109,81,0,43,164,172,112,60,76,89,61,15,0,0,39,33,33,39,69,58,10,0,90,88,96,95,90,93,99,108,72,51,86,149,104,68,92,76,41,7,0,10,44,12,8,24,51,66,32,0
16,110,120,127,131,137,143,148,154,157,161,164,168,172,175,178,181,182,183,184,186,187,187,187,188,190,189,190,190,113,124,131,134,139,146,152,158,161,164,167,172,175,178,181,185,186,186,190,191,191,192,192,193,193,192,193,193,116,127,133,137,142,149,156,161,165,167,171,175,179,182,185,188,189,187,183,181,184,190,195,197,196,196,197,197,118,129,134,139,146,152,158,164,167,171,173,177,180,184,188,184,173,164,151,135,128,129,149,186,200,200,200,201,121,132,137,141,147,154,161,168,170,175,179,181,182,178,168,157,152,155,143,125,115,106,90,106,173,202,202,202,123,134,138,144,150,157,164,170,172,175,173,166,159,154,151,152,145,138,130,109,106,107,85,76,99,191,207,206,124,135,140,144,152,160,166,170,183,176,161,138,144,145,152,140,131,132,113,93,92,92,82,78,74,155,210,208,127,137,142,147,155,162,168,182,205,187,188,139,154,170,155,124,130,118,101,87,85,82,79,78,75,134,210,210,130,138,144,149,157,164,171,187,185,187,185,151,184,184,123,117,113,93,89,81,78,77,80,81,76,152,213,213,133,142,146,152,160,166,173,171,177,194,172,165,202,179,124,112,94,81,79,77,76,74,78,81,83,181,215,215,135,144,149,153,161,167,174,174,184,200,183,178,199,163,145,126,98,77,73,76,77,76,77,77,110,204,217,217,136,146,150,155,163,170,177,181,182,197,194,179,194,175,152,121,95,76,71,74,78,79,77,75,143,216,221,220,138,148,151,157,165,174,179,184,180,197,194,191,190,167,131,98,81,68,72,77,80,80,77,79,178,221,220,221,141,148,151,158,167,175,182,187,185,196,199,196,173,141,101,76,57,54,75,85,81,80,77,88,203,223,221,222,143,150,153,160,168,176,183,188,190,196,200,184,148,110,75,36,21,58,80,89,83,80,73,104,218,223,223,224,146,153,156,163,172,178,184,189,193,190,185,156,119,92,35,5,15,59,83,97,93,83,68,122,225,223,223,223,147,153,158,165,174,179,185,191,194,181,162,128,102,69,14,9,15,46,79,99,102,83,65,142,231,226,225,225,148,155,159,166,175,180,187,192,198,183,143,107,85,53,27,17,30,33,70,106,103,80,69,155,232,226,227,227,150,155,160,167,177,182,189,193,200,179,122,82,68,65,61,45,45,53,83,113,94,81,71,165,233,229,229,229,153,157,161,169,177,183,190,194,199,171,104,99,80,63,68,63,63,100,103,118,89,82,73,181,235,230,230,231,154,158,161,170,179,186,190,198,190,145,87,196,201,139,105,84,115,119,116,114,84,80,72,187,235,230,231,231,154,157,162,171,178,185,188,186,165,99,136,218,215,207,185,150,126,123,133,114,79,77,68,178,239,233,234,234,154,157,162,171,180,185,186,172,125,93,201,213,213,202,181,150,122,139,146,119,78,74,68,152,240,234,229,227,153,158,163,171,180,193,194,150,85,168,215,214,210,200,175,151,122,150,153,122,79,73,75,86,124,110,138,179,154,158,164,170,189,214,165,93,135,207,209,212,208,198,172,149,122,147,161,129,73,75,77,62,48,50,110,130,155,158,163,169,206,167,108,148,204,206,209,211,206,195,174,151,123,127,161,144,77,75,75,66,42,76,74,69,155,158,165,172,184,154,177,201,203,206,210,212,203,192,172,149,123,110,150,155,91,74,73,57,16,55,68,63,155,159,166,175,182,191,196,198,202,206,209,212,200,190,173,145,118,108,116,145,109,76,73,48,11,38,71,54
10,49,49,51,54,55,66,82,94,115,113,105,126,128,134,138,141,145,148,150,153,156,157,158,159,159,160,162,162,49,49,51,54,55,67,84,93,129,119,77,115,135,134,140,143,147,150,153,156,158,159,160,162,162,162,164,163,48,49,52,53,56,69,86,99,118,123,89,71,127,140,141,145,148,152,155,158,160,161,163,164,164,165,165,165,49,50,52,54,57,72,88,103,111,117,98,69,73,144,144,147,151,154,156,160,162,164,165,166,166,167,168,167,49,50,52,54,57,74,91,104,113,119,100,83,59,103,153,148,153,155,159,162,165,167,167,168,168,168,170,169,49,50,53,53,58,76,92,106,115,119,117,97,80,59,134,155,154,158,162,165,166,169,170,170,170,170,171,171,49,50,53,54,59,78,93,107,115,120,131,117,88,64,78,158,156,161,165,166,168,171,171,172,171,172,173,173,49,51,53,52,64,82,98,107,128,94,115,138,108,94,59,134,166,162,166,169,170,171,172,172,173,175,175,175,49,52,48,91,109,66,84,117,139,80,69,143,131,106,71,94,169,162,167,169,171,172,174,174,175,176,176,176,49,52,47,99,100,52,44,74,106,87,46,104,150,105,81,59,151,167,167,170,172,174,176,176,177,178,178,177,49,52,51,59,72,54,47,42,51,82,67,53,133,115,80,57,106,176,167,172,173,176,177,178,178,178,178,179,49,51,54,52,69,71,50,46,46,81,89,66,65,113,92,91,58,155,174,172,174,176,178,178,179,179,179,180,49,50,54,54,70,90,92,71,50,75,102,84,55,56,78,95,57,103,180,173,177,177,179,180,180,181,182,181,49,50,53,55,71,90,108,120,100,63,106,102,79,48,50,70,64,60,163,178,178,178,179,180,181,182,182,183,48,49,51,55,73,90,102,128,137,73,56,129,107,76,47,44,56,48,142,183,176,179,179,181,182,182,182,183,47,49,50,55,73,95,111,132,141,108,28,108,139,99,72,51,52,43,127,183,175,177,178,180,181,182,182,183,48,47,49,55,70,115,131,124,154,127,53,59,156,115,96,70,50,40,113,185,176,178,179,180,181,182,183,184,45,47,48,55,71,106,143,119,144,135,80,87,155,127,111,79,51,38,101,184,176,179,181,182,182,183,183,184,48,47,46,54,74,90,128,123,120,131,99,119,146,112,108,74,56,45,94,185,177,179,181,181,182,182,183,183,80,77,77,79,85,88,105,124,121,142,112,106,145,104,103,77,58,49,84,179,178,181,183,185,187,188,189,191,74,76,79,81,80,75,82,127,129,138,145,103,131,115,105,82,60,51,65,109,112,115,118,122,125,128,132,136,77,77,78,81,83,85,79,130,153,128,154,109,74,115,103,85,64,56,55,86,92,92,93,91,91,90,90,90,77,78,79,82,83,85,81,103,157,142,133,124,73,95,101,83,66,57,53,86,100,96,97,99,99,99,100,100,77,78,79,82,83,85,85,88,143,150,143,151,141,106,94,78,65,56,53,80,98,95,95,97,97,97,99,99,77,78,80,81,83,84,86,81,113,146,147,143,151,130,90,71,65,60,55,78,98,96,95,96,96,97,98,98,76,77,78,80,82,83,84,86,87,132,150,141,138,136,96,69,70,65,56,78,96,95,95,97,96,96,97,98,75,76,77,80,82,83,85,87,84,101,143,138,127,119,105,87,84,71,53,71,96,95,95,99,95,96,96,95,74,75,77,78,80,82,84,85,86,83,120,130,119,108,107,106,98,81,59,60,91,95,96,96,96,97,93,120
7,192,194,196,198,200,201,202,204,204,204,205,205,206,207,207,206,205,206,206,205,205,205,203,202,201,200,197,197,195,196,199,200,202,203,205,207,207,206,207,207,208,208,208,208,207,207,207,207,207,208,206,205,203,201,200,199,197,199,200,201,203,205,207,208,208,208,209,209,209,208,208,209,209,209,209,208,208,209,208,207,206,204,202,200,197,200,201,203,205,207,207,208,210,210,210,211,211,211,211,212,211,212,211,211,210,210,210,208,207,206,204,203,199,201,203,205,206,208,209,210,212,212,211,213,213,214,214,214,215,214,213,213,213,213,212,211,209,207,206,206,200,202,205,207,208,210,212,212,213,214,214,215,215,216,215,215,215,215,215,215,215,214,213,211,210,209,208,207,202,205,208,209,211,212,213,214,215,215,216,216,217,217,216,216,216,217,217,217,217,215,214,214,212,212,211,209,204,207,209,211,213,214,214,216,217,217,218,218,217,219,219,218,219,219,219,219,218,217,216,215,214,214,212,210,207,208,210,212,214,215,216,218,219,219,219,220,219,220,220,221,221,221,221,220,220,218,217,217,216,215,214,213,206,209,211,214,216,217,218,219,222,222,214,216,219,220,220,221,222,222,222,222,220,220,217,218,218,216,216,214,208,211,213,215,216,218,222,228,233,226,197,182,199,211,212,211,212,217,211,214,208,215,204,231,221,214,217,216,209,212,214,218,223,230,231,231,233,230,214,173,173,190,199,200,199,193,194,197,197,201,190,198,186,215,219,217,211,218,226,232,232,231,229,225,218,217,204,170,161,172,186,194,197,197,192,186,188,189,181,188,183,206,216,215,230,234,233,233,228,223,216,208,206,215,213,178,155,150,154,165,175,179,175,182,184,186,183,192,189,197,196,206,239,234,229,222,215,211,208,207,212,219,214,180,157,161,163,159,149,138,164,173,173,172,169,172,178,181,190,217,238,230,221,211,204,200,201,201,207,213,196,168,152,156,168,171,161,152,176,228,226,222,222,222,221,223,224,225,233,228,220,210,202,200,200,197,198,208,205,172,143,140,152,156,158,152,168,231,231,230,229,228,228,227,227,225,230,227,222,214,207,205,206,205,204,214,213,180,159,163,164,158,154,138,211,234,232,232,230,230,229,228,228,226,223,220,218,216,213,209,206,204,203,207,204,181,166,170,169,162,154,177,233,234,232,231,231,231,230,230,229,228,205,204,208,214,215,210,204,199,198,190,177,165,145,144,150,155,143,220,232,234,234,232,231,231,231,230,229,228,137,149,173,198,206,199,191,183,175,166,158,155,109,103,121,147,166,233,235,235,234,233,231,232,231,230,225,175,69,70,83,113,151,169,166,170,180,203,222,226,157,128,146,171,221,235,236,236,235,235,234,233,219,199,171,126,61,58,56,57,63,93,206,227,233,235,235,236,223,206,223,233,237,237,237,237,236,236,229,192,145,128,114,101,55,52,50,48,47,108,234,234,235,235,236,237,237,236,236,237,237,237,236,237,237,215,151,118,118,114,105,96,50,48,45,43,42,98,235,234,235,236,237,237,238,237,238,238,238,237,237,237,231,155,110,85,95,99,94,92,48,48,48,44,33,92,226,225,227,229,231,231,233,233,234,235,236,236,237,218,151,130,107,79,73,89,86,84,56,55,50,39,25,63,152,154,155,159,160,163,166,169,169,172,173,173,179,155,99,116,104,70,65,75,78,77,65,59,45,25,25,57,127,127,126,127,128,129,130,130,132,131,131,135,148,130,83,108,98,67,61,68,71,73
11,168,171,173,175,177,179,181,181,182,183,183,182,182,182,182,183,182,182,181,180,179,178,178,176,174,172,172,171,169,171,175,177,178,180,182,183,183,184,184,184,183,185,185,183,183,182,182,181,180,179,178,177,177,175,174,174,172,174,176,178,180,182,183,185,186,185,186,185,190,167,178,187,183,183,183,182,181,181,180,178,178,175,177,158,174,176,178,181,182,184,185,187,188,188,189,183,207,161,149,193,185,186,185,183,183,183,181,180,178,178,178,109,176,179,180,182,185,187,187,189,190,190,191,184,215,168,137,195,186,188,187,186,185,184,183,182,179,185,150,87,178,182,183,185,187,189,189,191,192,192,192,187,222,160,135,197,189,189,188,187,187,186,184,183,181,187,123,90,180,182,184,188,190,192,192,194,195,197,191,197,239,151,146,200,190,191,191,189,188,187,186,185,186,183,110,95,182,186,188,190,192,193,194,194,196,189,203,193,219,148,158,203,192,194,193,191,191,190,189,189,188,188,131,105,183,187,190,191,193,196,192,214,205,141,188,168,130,167,136,185,200,195,195,194,193,191,192,190,188,195,150,105,186,188,191,193,197,193,213,233,213,176,127,152,120,139,124,162,206,196,196,196,195,193,194,194,191,195,170,103,187,190,193,196,195,207,243,198,202,201,139,130,126,148,132,167,206,198,198,198,197,197,196,194,194,193,192,121,189,193,195,195,201,237,220,164,161,198,138,122,120,149,132,171,209,200,201,200,200,199,197,196,196,193,196,158,190,193,196,193,224,237,190,158,174,184,113,127,120,143,128,180,210,203,203,202,201,201,199,199,197,195,197,177,192,195,198,195,235,227,177,137,156,160,109,129,117,138,121,195,209,205,204,204,203,201,200,199,199,197,199,170,193,196,200,196,237,231,192,152,116,119,130,114,123,136,130,210,206,207,205,204,206,204,203,203,201,199,199,189,194,197,200,200,245,230,185,143,112,99,140,107,145,141,111,198,214,207,210,210,204,197,192,191,201,205,199,198,195,198,200,206,251,227,184,148,120,105,115,103,145,133,96,130,204,206,194,175,165,158,155,145,138,179,205,198,197,201,200,212,251,223,187,157,129,114,116,117,132,133,131,130,137,149,152,164,170,156,136,133,118,152,209,199,198,202,202,212,247,220,187,159,134,118,120,152,172,173,163,154,140,145,160,156,139,127,151,188,196,199,204,202,199,203,203,214,246,223,194,165,139,122,129,170,170,161,156,153,141,132,128,136,167,189,211,213,210,206,204,203,201,205,204,218,245,226,201,167,149,130,141,165,164,157,146,142,122,117,161,209,217,215,211,209,208,207,205,203,202,207,201,230,247,227,199,166,150,136,142,152,156,149,134,119,139,195,221,216,212,212,212,210,210,208,206,205,204,204,207,246,238,215,185,156,142,135,142,141,146,141,116,161,219,220,215,216,215,214,213,211,211,210,208,206,205,204,238,246,228,205,175,151,138,138,141,134,129,121,172,226,218,216,217,217,216,215,214,212,212,211,209,207,201,215,250,237,216,198,172,155,143,137,136,120,146,202,226,220,218,218,217,217,216,215,215,214,212,211,210,208,200,226,247,232,196,172,165,153,140,133,115,140,221,227,221,221,220,219,219,218,217,216,216,215,214,212,211,209,203,236,246,225,179,154,149,144,131,121,125,209,226,221,223,222,221,220,219,219,218,217,216,215,215,213,211,210,215,243,242,214,161,149,144,136,124,113,184,231,224,225,224,223,222,221,220,219,219,218,217,216,214,214,213,211
6,110,112,115,116,118,121,123,124,126,128,129,130,131,131,132,134,134,134,134,133,134,134,135,136,136,136,136,135,112,114,115,116,118,121,123,125,127,128,129,129,131,131,133,135,134,134,135,135,134,135,135,135,136,137,136,135,113,113,115,117,119,122,123,125,126,127,129,130,132,132,132,133,134,132,134,135,133,135,134,134,136,136,137,135,113,114,116,118,121,123,123,127,128,128,130,131,133,135,135,134,136,137,136,136,135,134,137,135,136,140,137,135,114,116,118,121,123,124,125,128,129,130,132,133,134,133,130,121,108,111,121,115,114,110,94,121,128,123,138,137,116,117,119,123,124,125,127,128,130,130,132,134,135,133,130,114,89,93,106,108,101,97,84,95,113,87,137,138,116,116,118,122,124,126,128,128,129,131,138,143,139,135,121,100,88,76,74,78,72,73,72,70,72,102,142,138,117,119,120,122,125,126,130,133,133,138,135,126,116,100,81,63,61,73,76,81,95,103,109,116,126,142,139,140,118,120,122,124,124,129,138,128,117,114,113,108,106,99,89,70,81,111,126,146,146,148,148,146,144,142,141,140,121,122,123,125,124,150,147,112,94,94,99,105,112,113,110,105,97,90,76,133,146,143,143,143,143,143,143,142,121,122,123,126,125,162,137,108,108,100,96,90,91,95,95,90,83,81,53,118,152,143,146,145,145,145,144,144,121,122,126,128,127,162,130,123,132,112,98,99,97,103,106,99,83,74,63,133,150,146,147,147,146,146,146,146,123,122,126,127,133,162,148,158,144,112,93,94,95,98,99,96,92,88,71,104,157,147,148,147,148,148,147,146,123,123,127,127,139,163,159,157,141,127,117,99,82,70,79,84,79,74,68,50,119,155,148,149,149,149,149,148,123,125,129,126,147,163,157,152,151,150,134,108,92,88,97,93,78,67,66,37,73,159,149,150,149,150,150,149,124,126,129,126,155,166,160,159,160,147,134,118,99,91,97,91,84,74,78,47,97,159,149,150,150,152,152,150,124,126,128,128,160,164,159,160,158,147,135,112,100,98,95,93,87,83,69,88,151,151,151,151,150,152,152,151,125,127,128,131,164,160,159,158,156,142,120,109,101,99,88,83,86,83,65,135,157,150,152,151,151,152,152,151,127,128,129,135,167,160,158,156,150,121,112,113,103,84,74,40,63,71,76,152,152,152,153,154,154,154,154,152,127,129,127,141,163,156,156,154,138,110,105,111,100,67,38,25,48,59,118,158,150,152,153,155,154,154,153,151,128,129,126,147,158,152,153,144,121,102,110,107,86,71,41,48,82,117,155,154,155,155,155,155,154,154,154,153,128,130,128,152,154,146,147,134,115,103,116,105,84,68,47,70,159,158,153,154,155,155,156,155,155,155,155,154,129,132,129,153,150,149,141,127,112,116,123,100,83,67,47,95,164,152,155,155,157,156,156,156,155,156,155,154,129,131,126,148,150,140,127,123,110,121,116,92,77,63,55,138,160,156,156,157,157,157,156,157,157,157,156,154,129,132,128,142,143,136,126,113,110,122,104,86,74,54,100,162,154,158,157,158,158,157,158,157,157,156,155,155,130,132,123,148,148,134,126,106,114,116,98,84,63,79,157,158,157,159,159,158,158,158,158,157,157,156,156,156,130,126,125,152,142,130,121,108,114,107,88,77,55,127,165,158,160,160,160,158,158,159,159,157,157,157,157,156,132,124,129,145,135,117,110,111,106,97,80,68,60,143,160,159,160,160,161,160,160,161,159,159,157,157,157,157
24,171,175,178,182,184,185,188,191,192,192,193,193,194,195,195,195,195,195,197,196,196,196,196,196,194,193,193,192,174,177,182,185,187,188,192,194,194,195,196,196,197,197,198,199,199,200,200,199,200,200,199,199,198,196,195,195,175,179,183,187,191,193,195,196,197,198,198,199,201,201,200,201,200,201,200,200,200,201,202,201,200,200,199,198,177,181,187,191,194,196,197,199,201,200,200,201,202,202,204,204,204,204,203,204,203,204,205,204,202,202,201,200,182,188,188,193,197,198,199,201,202,202,204,205,206,206,207,206,207,207,207,208,207,206,207,206,204,204,203,201,163,150,197,195,199,200,202,204,204,205,206,207,207,207,208,208,209,210,209,210,210,209,209,208,208,205,205,205,152,95,197,198,201,202,205,207,207,207,209,211,211,210,211,211,213,213,211,212,213,212,211,214,214,212,213,207,151,86,189,201,203,205,206,210,213,216,212,204,199,218,212,214,214,214,214,215,214,215,215,209,194,161,164,217,137,71,192,205,205,208,213,208,182,180,214,178,137,154,221,215,214,215,216,216,216,216,208,174,148,88,143,222,125,69,191,208,201,162,166,214,165,123,182,190,161,115,184,224,215,216,217,217,218,216,207,169,96,124,221,215,143,78,177,213,217,177,149,205,184,160,158,204,186,146,138,227,217,219,218,220,217,214,200,133,96,219,219,215,155,99,164,214,225,221,178,165,212,187,141,175,204,156,112,211,222,220,222,222,216,210,176,83,147,232,217,218,180,163,176,206,204,228,210,142,174,210,159,129,198,143,82,203,232,223,218,208,208,189,110,92,219,223,220,219,202,198,187,203,187,177,218,132,98,214,181,101,121,109,61,175,203,197,186,174,178,125,78,203,232,223,222,222,194,208,201,198,196,177,174,126,72,150,150,82,38,81,112,164,191,195,174,145,123,75,171,238,223,225,224,223,199,215,201,199,196,172,159,135,99,76,95,57,41,125,200,214,208,190,156,122,87,124,240,226,226,226,226,225,202,212,201,164,175,169,152,143,122,104,107,104,163,200,213,209,192,171,133,91,78,215,234,228,229,227,227,226,204,209,211,186,153,157,185,167,159,139,131,188,220,215,209,198,179,149,108,63,158,242,229,232,231,229,229,228,206,207,222,222,185,155,158,178,200,199,202,228,221,214,202,183,156,122,71,127,242,230,233,232,231,230,229,230,204,206,213,226,203,174,154,167,186,219,227,222,222,214,190,160,127,85,88,226,236,233,232,232,233,232,231,229,204,211,208,220,226,192,168,169,191,221,228,230,228,204,166,132,101,65,179,242,230,233,232,232,231,231,230,227,205,211,211,224,238,224,190,186,195,229,241,232,216,177,139,106,72,108,240,232,233,233,232,232,231,230,230,233,205,209,212,213,228,240,211,195,199,224,236,221,188,148,113,86,61,197,242,234,237,236,235,234,231,234,226,220,208,210,216,204,199,223,211,200,200,204,207,199,168,125,90,58,110,242,231,235,236,235,233,235,238,222,214,141,200,206,210,215,194,197,203,197,191,173,169,179,156,110,79,54,185,250,241,242,241,242,240,240,216,206,235,197,114,120,121,129,128,174,203,188,172,153,155,168,143,111,81,66,166,197,198,202,205,214,219,210,216,196,194,132,102,102,101,102,95,130,192,153,147,149,167,180,142,120,100,69,91,102,100,102,104,106,112,196,235,189,183,133,106,110,117,115,112,110,168,147,158,173,177,182,146,115,110,74,100,119,119,119,113,113,158,160,213,224,104,168
14,133,135,137,140,144,146,148,150,150,151,153,155,156,156,158,159,159,158,159,159,160,160,160,160,160,160,159,159,133,136,138,141,145,147,149,150,151,152,155,157,158,158,160,161,161,161,162,162,163,163,162,162,162,161,162,161,134,136,139,142,145,147,150,151,153,154,156,157,159,159,159,162,163,163,164,164,164,165,164,163,163,163,163,163,134,137,140,144,147,148,151,153,153,157,163,160,162,158,147,140,145,156,161,164,166,166,166,165,165,165,164,165,137,141,143,146,148,150,152,153,154,174,178,167,154,140,128,129,126,126,121,125,154,167,166,166,165,166,165,165,137,141,145,148,150,152,153,152,171,193,165,134,118,98,82,96,108,102,86,86,102,163,168,168,168,167,167,167,139,142,144,147,151,152,153,157,201,180,130,92,75,67,65,64,74,78,78,83,78,126,168,167,167,170,169,167,139,142,145,149,151,152,152,181,205,153,109,84,59,55,57,48,55,72,88,87,73,84,114,127,137,170,170,170,142,144,147,150,153,154,157,204,179,122,91,67,53,59,57,49,51,70,95,96,72,82,74,97,114,169,171,172,143,145,148,151,154,152,177,209,156,107,83,57,46,51,51,57,62,138,164,162,135,94,88,97,119,173,171,172,143,146,149,152,154,158,208,201,147,105,88,75,55,39,48,58,92,168,174,174,173,117,113,101,117,174,172,172,143,147,152,155,152,182,222,193,144,103,87,77,61,51,52,65,142,174,173,175,170,116,122,103,98,169,173,172,144,148,153,155,150,194,220,190,142,99,83,71,57,57,57,96,173,174,174,175,167,110,121,106,85,149,176,174,146,150,153,156,149,192,222,191,148,109,81,63,52,55,54,122,177,175,175,177,164,107,116,107,88,135,177,174,146,151,155,157,150,194,223,191,152,119,89,66,54,52,50,131,179,178,177,179,155,120,128,114,95,145,178,175,147,152,156,159,149,199,222,194,158,123,95,75,52,50,49,107,165,172,176,180,142,123,132,118,102,160,179,176,148,152,155,160,150,202,223,198,160,130,105,88,59,55,62,69,90,106,130,154,118,122,130,116,109,169,179,179,149,152,156,160,149,201,221,196,162,136,114,98,71,56,68,72,79,90,100,104,103,123,129,112,116,177,180,179,150,154,159,161,151,199,216,195,165,140,117,100,80,58,71,81,94,104,111,112,99,104,121,107,128,181,180,180,151,156,159,161,151,201,214,195,165,140,115,98,87,66,77,91,106,113,114,113,101,95,106,101,145,183,181,181,153,158,160,161,150,198,208,189,161,136,111,98,90,76,82,95,108,113,113,112,104,99,102,99,160,183,181,181,153,158,161,163,153,194,201,182,158,134,114,103,94,86,90,99,106,110,109,107,105,103,101,126,177,182,182,182,154,157,162,164,159,197,202,182,160,137,121,110,99,92,95,102,106,110,106,104,106,107,135,174,184,185,184,182,155,158,162,165,161,203,205,184,163,138,121,107,100,96,95,103,106,109,106,107,106,144,181,185,185,186,184,185,155,159,164,166,159,206,205,187,165,137,115,102,102,102,99,104,108,110,108,105,129,179,186,185,186,186,183,185,156,161,164,166,160,207,199,182,161,133,110,102,105,104,103,108,112,110,106,128,175,186,186,186,186,186,184,185,158,162,164,166,163,205,197,182,163,135,108,103,104,102,101,106,110,108,134,178,187,187,187,187,187,187,186,185,159,162,164,166,167,201,198,185,171,145,108,100,101,101,101,104,105,128,177,189,188,187,187,187,186,187,187,187
21,122,130,136,139,143,149,154,158,161,164,166,168,170,171,171,172,172,171,170,170,171,169,169,168,166,165,165,164,124,132,138,141,145,150,156,159,163,166,168,170,171,172,174,174,173,173,172,172,172,171,171,168,167,165,165,165,126,134,140,143,147,153,157,161,165,168,171,172,172,174,173,174,176,175,175,175,173,173,172,170,169,167,166,166,127,135,141,144,147,154,159,164,167,170,172,174,174,188,159,146,178,177,177,177,176,175,174,173,172,170,168,167,128,137,143,144,149,155,161,165,168,171,174,175,177,201,165,117,169,180,179,179,178,177,177,174,173,172,171,169,130,139,144,145,151,158,163,166,170,173,176,177,178,198,182,123,154,183,180,180,180,179,180,166,139,169,173,172,131,140,145,147,153,159,164,168,172,175,178,180,181,193,206,152,142,185,183,182,182,181,186,159,106,158,176,174,133,142,146,149,155,161,167,170,173,177,179,182,183,191,218,170,129,181,185,185,183,185,184,153,108,163,177,176,135,143,148,151,157,164,169,171,175,179,181,184,185,189,216,175,125,169,188,187,185,193,185,142,113,176,179,178,136,144,149,152,159,165,170,174,178,180,182,186,187,189,217,186,133,155,190,188,188,198,180,130,129,183,181,179,137,144,150,153,160,166,171,175,179,182,184,187,188,188,216,201,145,148,191,188,194,192,158,112,153,186,183,181,138,146,151,154,161,167,172,176,180,183,186,188,189,190,208,202,142,142,193,193,204,191,147,104,172,186,183,182,140,148,152,156,162,169,174,178,182,185,187,189,191,191,201,199,130,128,191,194,202,182,131,125,187,186,185,184,141,150,154,158,164,170,176,179,183,186,188,191,191,164,160,198,134,141,177,188,183,153,105,154,191,187,187,186,141,150,156,159,165,172,178,181,184,187,190,197,201,153,127,162,141,140,166,180,174,125,105,182,190,189,188,187,142,151,157,160,167,174,179,183,186,189,191,185,196,159,144,131,144,137,128,157,158,106,143,195,192,191,190,188,143,152,157,161,168,175,181,184,187,193,204,163,154,162,164,157,165,137,85,107,126,92,159,196,194,193,192,190,144,154,158,162,169,176,181,185,188,206,217,184,130,152,162,152,152,130,101,79,81,82,168,197,194,194,193,192,146,155,159,163,170,176,182,187,190,208,218,192,133,125,148,113,121,137,125,97,71,75,174,199,196,196,194,193,146,155,160,165,171,178,184,188,191,216,211,184,143,110,154,142,96,144,145,116,88,68,151,202,198,196,195,194,147,156,161,165,173,179,185,189,193,216,206,187,143,94,151,194,116,142,169,128,103,77,119,203,199,198,197,195,148,158,161,165,173,180,186,191,193,218,228,201,138,121,116,153,117,160,165,132,107,82,112,203,200,199,198,196,149,157,161,166,174,181,187,192,194,215,231,212,161,161,104,133,177,169,156,120,103,76,123,205,201,201,199,197,149,158,163,167,175,182,187,193,195,210,232,204,173,150,125,171,192,155,148,137,98,71,139,207,202,201,200,200,150,159,162,168,176,183,188,194,197,206,228,202,191,157,163,204,185,161,150,143,105,68,163,208,203,202,201,201,149,158,161,167,175,182,188,194,197,202,221,203,193,166,172,202,179,159,137,124,91,79,190,206,203,202,202,201,149,157,160,166,175,182,188,192,196,199,211,204,190,170,146,172,157,134,113,97,69,112,206,205,203,202,202,200,151,158,162,168,176,182,188,192,198,178,177,206,188,161,130,134,134,122,101,82,68,163,209,206,204,202,202,200
1,115,119,133,150,163,170,172,179,184,187,190,192,196,199,200,205,204,204,205,205,206,207,207,207,209,209,209,209,115,120,135,153,165,172,175,181,188,191,194,197,199,209,211,173,208,210,211,209,210,210,210,211,212,211,210,210,117,123,139,157,169,174,178,185,192,197,198,200,205,222,228,141,191,184,199,218,213,214,214,214,214,213,212,212,119,125,142,160,172,176,182,190,196,200,205,219,168,220,230,139,184,187,154,225,217,218,219,218,218,217,215,215,120,127,146,162,173,179,185,194,200,202,213,238,149,205,230,134,184,208,135,213,226,223,223,222,222,221,220,219,120,130,150,165,177,181,187,196,203,207,216,243,155,194,236,146,187,215,136,197,234,226,227,227,226,226,224,224,121,133,153,168,181,185,191,200,206,208,221,248,163,180,228,150,189,229,151,186,240,229,230,230,230,229,228,227,122,135,156,172,182,187,193,202,210,218,185,242,171,160,210,151,188,225,154,181,245,233,234,234,234,233,232,231,123,138,159,175,185,190,197,204,223,226,153,230,175,142,218,159,181,234,165,181,250,236,238,239,239,237,235,235,123,141,162,178,187,191,201,207,233,219,146,234,184,131,208,154,179,244,175,182,253,241,243,243,242,241,239,239,124,143,164,180,190,193,204,210,237,217,139,225,202,135,179,174,179,225,179,177,255,245,247,246,245,244,243,242,126,145,166,182,191,195,206,212,245,228,136,195,223,188,191,197,177,169,157,174,255,246,248,247,248,247,245,245,127,147,168,184,194,198,209,215,247,232,138,174,190,194,199,164,170,199,152,176,255,248,252,251,251,250,249,249,129,150,172,188,197,201,213,218,244,236,180,193,136,177,158,142,215,237,215,173,239,255,251,254,253,252,252,252,130,153,175,192,199,203,215,221,253,241,196,172,137,163,130,178,229,234,239,186,154,249,255,255,255,255,255,253,131,155,176,193,201,206,218,225,255,240,191,155,142,169,172,231,250,238,219,165,130,183,255,255,255,255,255,255,133,157,179,195,202,208,220,229,255,249,194,152,156,178,193,248,255,245,206,159,126,167,255,255,255,255,255,255,135,160,181,198,205,210,224,230,255,255,205,153,166,190,213,247,255,242,204,162,117,186,255,255,255,255,255,255,138,163,184,200,206,213,226,231,255,255,225,163,173,199,219,255,255,234,195,161,116,206,255,255,255,255,255,255,141,166,187,202,208,215,228,233,255,255,243,178,180,202,215,255,255,230,185,154,114,222,255,255,255,237,180,123,144,169,189,205,210,218,230,235,255,255,253,192,195,193,212,253,249,224,174,148,116,238,255,216,142,102,83,88,146,171,192,207,211,219,231,238,249,255,255,207,209,188,214,242,244,212,168,138,124,255,192,99,79,84,87,80,148,172,194,208,212,220,231,239,241,249,255,222,212,194,200,240,226,201,157,131,139,174,94,102,91,67,85,88,149,174,196,208,212,220,230,237,240,244,249,229,217,207,184,221,214,188,153,134,115,83,76,98,104,63,67,92,150,176,198,210,213,222,233,239,245,239,246,236,224,218,188,195,213,179,152,130,101,95,75,72,104,79,55,78,152,177,200,212,214,224,234,241,248,242,247,244,232,219,184,180,201,176,146,120,104,94,83,56,84,96,55,61,150,177,201,213,216,227,235,242,248,246,250,234,215,209,186,181,179,165,136,114,109,84,83,61,65,95,71,49,163,181,197,206,212,221,228,237,244,241,248,241,212,215,206,180,165,160,132,110,104,93,74,65,56,82,84,51
20,141,143,144,147,149,151,153,154,157,160,159,159,160,161,163,164,152,165,170,169,168,170,170,170,170,170,171,171,141,144,146,149,150,152,155,156,158,160,161,161,163,162,167,174,124,144,153,163,171,170,171,171,171,171,171,172,142,145,149,151,152,154,155,157,158,160,162,164,165,162,171,179,129,157,135,130,177,171,173,172,172,171,172,172,143,145,149,151,152,155,157,158,159,161,163,163,165,165,173,174,134,175,150,119,175,172,173,174,174,173,173,174,145,146,149,152,154,155,158,159,161,163,164,164,167,165,180,184,144,174,153,119,173,173,174,174,175,174,173,174,144,148,151,153,155,156,158,160,162,163,165,166,168,164,189,183,149,185,158,122,173,176,174,175,174,175,175,175,145,149,151,153,155,157,159,162,163,164,165,166,171,166,188,168,152,186,157,119,172,178,176,176,176,176,176,177,146,149,152,154,156,158,160,163,165,165,171,147,145,174,186,154,150,185,150,117,173,180,178,178,178,178,178,178,146,150,153,154,156,159,161,164,164,170,172,152,108,145,189,149,155,186,144,118,176,180,179,178,179,178,178,179,147,151,153,154,157,161,161,162,162,162,174,154,136,120,138,136,148,175,141,123,179,178,179,179,179,179,179,179,148,151,153,155,158,161,158,181,177,129,154,172,168,153,115,103,122,156,136,125,182,178,180,180,180,180,180,179,148,151,154,156,159,161,165,181,176,147,142,164,177,164,132,93,110,138,124,125,184,179,180,181,181,180,181,180,149,152,156,157,160,161,168,172,153,165,123,93,151,180,155,114,108,121,111,126,187,180,182,182,182,182,182,182,149,152,156,157,160,162,168,177,129,125,113,86,114,187,176,138,100,111,106,122,187,181,183,183,183,182,182,182,149,153,156,158,160,161,168,176,157,144,124,108,116,171,194,159,113,103,102,121,187,182,184,184,184,183,183,183,150,153,157,157,161,161,172,193,165,140,124,119,132,156,203,169,135,104,94,116,188,182,184,184,184,184,184,183,151,154,157,158,162,161,178,188,151,134,129,135,141,178,197,169,145,107,88,117,190,182,184,184,184,184,184,183,151,155,158,159,162,160,180,188,159,142,143,137,159,210,188,160,145,109,85,122,190,183,185,185,185,185,184,185,151,156,159,160,162,161,182,192,163,148,146,146,181,213,188,159,141,116,86,132,191,183,186,186,186,186,185,185,152,156,159,161,163,161,180,196,171,150,146,162,190,199,183,162,140,116,85,142,192,183,187,186,186,185,185,184,152,155,158,160,164,161,180,199,170,162,153,165,197,189,176,161,134,117,86,159,190,184,186,186,186,185,185,185,152,155,159,161,163,163,179,198,175,174,163,163,199,187,173,162,132,111,90,170,189,185,186,186,186,186,185,185,152,156,160,161,163,165,171,196,184,182,178,163,189,180,169,160,135,106,90,169,190,186,186,186,186,186,186,185,153,156,159,160,163,168,167,186,189,185,180,169,174,178,164,159,132,107,93,174,190,186,187,186,186,186,186,186,153,157,159,161,163,168,166,179,192,182,170,165,170,172,158,166,138,105,103,183,187,187,187,187,187,187,187,187,153,157,159,160,163,168,166,179,188,170,163,154,164,171,156,167,139,102,121,191,185,187,187,188,187,187,187,187,153,157,158,161,163,168,168,181,185,167,163,155,163,175,153,164,133,96,146,193,185,188,188,188,188,187,187,187,153,156,159,162,163,168,167,183,194,179,170,161,165,177,145,157,125,97,171,190,186,188,188,188,188,187,187,188
1,77,95,96,100,105,118,133,144,147,153,157,160,163,170,170,173,173,174,176,176,177,178,179,179,179,179,180,178,84,96,97,101,106,121,137,146,150,156,161,162,173,189,139,170,178,178,178,179,179,179,180,180,179,180,180,179,90,96,98,102,107,124,140,149,154,160,166,166,183,198,122,138,146,172,186,184,183,183,183,182,181,182,181,181,95,96,101,104,108,126,143,152,157,160,191,166,157,203,123,130,141,138,195,187,189,189,188,187,185,184,184,183,97,97,101,104,111,129,145,153,159,162,204,170,132,198,123,125,155,114,189,194,193,193,192,191,190,189,188,188,97,98,102,106,114,133,148,156,162,165,204,177,125,183,127,121,157,107,177,203,196,198,197,195,194,194,192,191,99,99,103,106,116,136,151,158,164,168,206,179,114,173,143,125,165,118,164,209,200,201,202,200,198,198,197,196,99,100,103,106,120,140,154,160,171,182,186,183,112,146,139,122,169,124,153,215,204,205,205,204,203,203,202,201,100,100,105,107,122,143,158,159,185,184,167,184,114,133,140,110,163,128,148,218,208,209,209,207,207,207,206,204,102,102,106,108,124,146,160,159,204,180,152,181,114,145,153,111,180,150,146,218,211,211,211,211,211,210,208,208,102,104,107,109,127,148,163,163,207,166,142,196,125,137,150,113,179,163,139,219,215,215,215,214,213,212,212,211,102,103,107,110,130,151,165,167,208,162,129,189,130,112,137,120,173,163,128,216,218,218,217,216,215,215,216,215,102,104,106,111,133,153,167,171,212,166,113,170,123,105,131,135,185,163,124,214,222,220,220,220,219,218,218,218,103,104,106,112,135,155,169,173,216,179,107,158,160,153,148,165,188,142,114,203,227,222,222,222,222,222,222,221,103,105,106,114,138,158,173,175,214,178,115,166,199,165,151,159,160,139,104,179,234,222,224,224,223,223,224,222,103,104,106,115,140,161,175,178,214,186,157,160,138,150,143,142,135,145,131,151,234,225,227,227,225,224,225,231,103,105,106,117,144,165,176,181,224,202,160,143,125,144,145,155,146,167,167,134,182,238,226,227,232,237,228,199,102,105,107,119,146,167,177,185,232,200,157,133,131,147,153,203,194,179,197,170,122,203,236,236,214,170,118,84,103,105,106,121,149,170,179,188,232,198,149,130,136,152,179,220,228,188,208,172,112,161,239,151,93,77,73,77,102,104,106,123,151,171,181,187,229,203,150,132,143,159,192,217,233,222,188,142,109,152,141,81,75,72,83,71,101,103,104,124,152,172,181,187,222,208,158,132,147,168,201,224,230,215,176,133,116,97,72,90,88,58,79,79,101,103,104,126,154,174,183,187,219,213,176,137,149,170,202,230,224,200,168,134,112,90,76,68,92,64,60,83,96,98,101,125,155,176,185,189,213,214,190,148,150,169,203,229,212,188,160,130,110,89,80,57,76,81,51,69,111,108,109,130,158,177,186,192,208,210,197,159,152,164,202,219,204,183,150,124,106,90,73,62,58,83,59,55,139,137,138,138,138,145,150,153,161,202,201,167,164,160,193,207,197,175,142,120,100,85,79,61,52,74,71,47,134,134,134,135,135,136,137,139,134,178,205,175,167,159,174,196,184,161,132,113,95,68,82,65,47,67,79,52,136,135,137,139,140,141,142,143,142,150,194,179,167,161,155,177,169,145,120,104,96,70,72,66,49,58,80,65,134,136,136,138,139,140,141,142,144,140,177,188,170,165,150,156,161,137,112,95,97,81,59,48,57,52,76,75
21,117,120,128,136,142,148,152,155,161,164,169,171,174,178,180,180,181,184,184,184,186,187,186,185,187,188,188,188,119,124,132,139,146,151,155,158,164,168,171,174,178,182,183,183,190,187,189,189,189,189,188,189,191,191,190,190,121,125,134,142,148,154,158,162,167,171,173,177,181,184,191,164,141,193,190,192,191,195,199,194,195,196,195,195,123,128,137,144,151,157,161,165,169,173,177,181,185,187,198,175,79,184,197,194,197,180,166,202,198,198,198,198,126,131,140,148,153,159,164,168,171,175,179,184,189,188,200,188,88,157,207,196,200,186,97,174,209,201,201,199,130,133,142,151,156,162,165,170,174,179,183,187,192,192,202,191,98,130,212,196,203,197,107,136,216,202,202,202,130,136,145,153,159,164,168,174,177,182,186,190,194,196,201,195,120,113,209,202,205,194,116,115,216,203,204,204,132,139,147,155,161,165,171,175,179,184,189,193,196,198,200,210,158,104,196,207,207,197,125,105,214,207,208,207,135,140,150,158,165,169,173,177,182,186,189,195,198,200,199,216,172,104,174,215,207,205,150,100,211,212,211,211,136,142,152,160,166,171,174,179,183,188,192,196,199,203,204,223,180,113,147,220,208,207,162,96,202,216,214,215,136,144,154,162,167,171,176,181,185,190,194,198,200,200,193,231,206,144,133,220,212,205,169,96,194,220,214,216,137,146,156,162,168,173,178,182,187,192,196,199,202,196,175,182,229,178,130,212,215,218,192,106,190,222,215,216,139,146,157,164,170,175,181,185,189,195,199,200,216,238,222,174,165,161,122,204,220,217,197,106,187,225,216,217,140,149,159,165,172,178,182,187,191,195,199,203,209,202,216,208,157,102,85,176,218,200,189,104,184,228,218,219,141,148,159,166,173,180,182,187,192,197,201,205,205,179,154,142,171,130,119,115,138,168,171,101,178,234,219,222,144,152,161,168,174,181,185,189,193,198,203,205,214,224,195,127,123,178,182,168,117,96,143,94,168,235,220,222,144,154,163,169,175,181,187,192,195,200,204,210,197,184,206,155,69,120,195,188,138,69,94,79,167,236,222,224,145,155,164,170,176,180,186,190,195,201,205,210,198,105,148,171,88,39,113,175,154,111,66,57,158,237,222,225,145,156,166,172,177,182,187,191,196,201,206,211,195,158,131,154,133,90,16,127,187,147,88,45,126,241,224,227,145,155,164,172,177,182,188,192,196,202,207,210,215,196,122,92,133,112,39,74,190,178,126,67,94,238,226,228,143,154,163,170,175,180,187,191,196,202,206,208,225,188,149,116,79,68,81,122,186,204,150,107,79,219,231,229,147,156,164,171,176,180,187,193,197,202,208,207,228,218,187,117,87,98,129,212,211,187,149,114,76,210,233,228,147,156,165,172,178,182,189,194,197,203,209,208,227,220,167,108,115,128,161,241,214,175,126,96,72,213,233,228,147,156,166,171,178,184,190,194,197,203,206,208,221,218,161,143,135,119,182,243,201,163,118,81,74,217,233,230,146,156,166,171,177,183,188,192,197,202,205,207,216,212,183,152,125,120,191,238,196,154,110,81,78,221,232,231,150,160,169,177,183,189,194,198,204,209,212,214,216,207,188,136,135,134,184,227,191,153,103,75,83,223,230,229,115,120,128,136,140,147,154,162,170,178,183,186,194,203,189,141,165,139,168,210,168,133,95,69,96,238,233,235,82,83,82,82,83,85,87,91,93,94,96,96,105,187,191,157,169,147,153,199,145,110,85,72,86,154,158,165
8,166,168,170,170,172,173,174,175,174,174,173,174,173,172,172,172,172,171,171,168,168,167,166,166,165,164,162,160,167,170,172,173,174,175,175,175,176,175,175,175,175,174,174,174,173,173,172,171,169,168,167,167,167,166,164,163,170,172,173,174,176,177,178,178,178,178,178,177,176,176,175,176,175,175,173,173,171,171,170,170,168,166,165,164,172,174,175,178,179,178,179,179,180,179,179,179,177,170,177,176,175,175,175,175,173,172,172,171,171,169,166,165,174,176,177,179,180,180,180,181,182,181,179,188,184,132,169,178,178,176,176,176,175,174,174,172,171,170,168,167,176,179,180,179,181,182,182,183,183,182,181,200,171,108,161,179,179,179,178,178,175,175,174,173,172,171,171,170,178,180,181,181,182,183,184,185,184,184,182,205,151,101,169,182,181,181,180,179,177,176,174,174,174,172,172,171,179,181,183,184,184,186,186,186,186,186,187,204,141,101,178,184,183,182,181,179,178,178,177,177,175,175,173,172,182,182,184,185,186,186,187,188,188,188,193,205,140,111,182,185,184,182,182,181,180,179,179,178,176,175,174,173,183,184,186,187,188,188,189,190,190,189,199,192,126,117,184,186,186,184,184,182,181,180,179,178,177,176,175,175,184,186,187,189,190,190,190,192,191,190,204,190,127,126,188,187,186,180,184,184,182,182,181,181,179,178,176,176,187,189,189,191,193,193,193,194,194,192,213,190,148,141,188,189,194,145,152,184,183,183,182,181,181,180,178,176,187,190,191,193,195,195,196,196,195,194,215,186,161,153,196,204,199,150,109,132,136,169,183,183,182,182,180,178,188,191,193,194,195,195,196,197,197,197,214,192,173,165,209,205,203,174,135,91,93,100,167,163,181,182,182,181,191,193,195,196,196,197,198,199,198,207,219,187,175,180,199,189,191,189,158,141,110,77,107,90,125,183,182,181,193,195,197,199,199,200,200,201,199,217,205,170,166,162,193,173,135,178,175,168,129,79,77,78,70,168,183,182,194,196,198,200,200,201,201,200,206,212,176,144,150,144,186,150,107,107,173,163,127,77,52,67,64,142,186,184,197,199,200,202,202,202,202,203,225,214,181,146,125,114,180,168,134,69,188,173,135,82,49,62,72,167,187,184,197,200,201,202,203,204,203,216,231,208,173,143,124,106,168,172,121,77,174,183,137,86,56,62,120,187,188,187,197,200,203,204,205,205,205,230,227,200,166,140,125,94,104,145,123,118,177,188,139,87,60,107,183,191,190,188,200,200,202,204,206,207,212,234,215,184,169,148,128,106,172,198,188,187,174,174,133,85,96,186,194,193,192,190,201,202,204,205,207,207,223,231,207,191,171,138,128,180,214,208,184,192,161,147,123,90,103,198,196,195,194,192,202,203,205,207,208,186,218,227,206,195,163,137,173,213,211,193,168,173,152,124,112,86,135,197,196,195,195,193,202,204,207,208,201,116,142,219,207,195,153,176,205,217,201,183,159,160,151,100,95,84,187,199,197,196,195,194,203,205,208,209,141,85,81,132,187,181,156,179,200,208,193,178,148,150,136,88,72,137,201,201,200,198,196,194,203,207,208,176,93,79,77,77,96,132,138,164,179,189,180,165,141,140,108,73,80,192,202,202,201,199,198,195,205,207,194,106,82,76,73,75,58,46,70,91,118,148,153,143,133,115,80,62,161,205,204,203,202,201,199,196,205,202,131,84,78,73,71,70,70,26,44,50,50,56,72,85,85,70,55,127,203,206,205,204,202,201,199,196
15,91,99,107,110,111,115,121,127,131,135,138,141,144,146,148,150,152,156,157,160,162,163,164,165,167,167,168,169,93,99,107,110,112,115,122,127,131,136,139,142,144,146,149,151,154,156,158,161,163,164,165,167,168,169,170,170,93,100,107,110,113,117,123,128,132,137,140,142,144,147,150,153,156,158,161,163,164,164,167,168,169,169,170,172,94,102,109,112,114,119,124,129,133,137,139,143,146,148,151,154,156,158,162,162,163,165,167,169,170,170,171,172,94,102,108,111,114,118,124,130,134,137,141,143,145,149,152,154,157,158,161,162,165,167,168,169,169,170,172,172,102,107,115,117,118,125,130,133,130,134,137,140,145,149,151,154,157,161,164,163,165,168,169,171,172,172,172,174,129,119,124,125,126,136,142,144,148,146,139,136,138,138,147,147,143,143,151,165,168,168,171,172,172,173,173,174,115,98,104,111,123,135,138,145,159,154,146,147,150,157,152,153,154,135,122,115,153,173,169,172,172,174,174,175,88,87,93,96,102,112,118,131,153,160,159,159,159,162,165,153,150,165,127,101,92,146,176,171,173,174,174,175,99,109,112,111,113,116,120,121,128,140,153,169,172,147,150,157,125,171,126,103,115,97,146,178,170,174,174,174,98,106,112,113,118,124,126,135,128,113,119,123,145,143,127,136,118,175,129,93,128,133,85,151,175,172,174,175,100,108,112,113,118,122,126,151,121,105,97,106,132,139,111,106,111,143,126,110,127,135,93,86,171,173,173,174,99,108,112,113,118,120,138,163,105,95,103,120,144,138,114,105,112,103,104,116,129,118,85,65,109,182,171,174,100,108,111,113,117,122,133,172,117,95,120,130,142,131,110,106,108,107,106,119,131,128,88,69,63,127,179,176,100,108,113,113,118,120,148,176,171,139,121,109,113,107,92,93,95,104,116,125,129,125,95,72,70,66,116,173,100,108,112,113,117,120,157,177,166,173,150,105,63,59,60,55,59,77,103,118,114,108,89,79,79,73,64,92,100,108,111,113,118,121,141,174,168,152,158,166,99,34,44,38,42,48,73,109,115,110,102,100,90,80,76,69,91,95,100,103,107,109,113,158,170,151,145,171,107,50,44,40,49,43,71,120,128,127,122,116,102,85,78,77,74,76,78,77,80,77,86,173,163,148,138,136,77,56,47,43,52,50,61,104,122,125,123,116,103,87,77,82,81,81,82,82,84,84,86,150,174,154,123,117,100,60,49,50,53,60,68,80,100,109,113,110,101,87,79,81,81,81,82,84,84,86,84,93,131,146,133,122,115,76,55,55,52,59,72,75,85,103,107,102,92,87,84,81,82,82,83,83,84,86,87,85,85,91,92,92,85,79,63,59,51,56,71,79,72,90,100,98,91,88,86,85,82,82,83,84,84,84,85,86,86,88,87,87,86,91,87,76,75,70,78,89,82,82,93,90,87,82,83,85,81,81,82,84,85,85,87,87,87,89,90,90,92,98,102,115,112,98,111,118,122,115,109,103,86,78,89,92,81,81,82,82,84,86,86,86,87,88,89,90,90,89,88,110,104,122,146,147,141,136,123,112,94,92,108,106,80,81,81,82,84,85,85,86,87,89,89,89,90,91,89,88,89,102,122,131,136,119,104,95,100,107,110,123,81,81,82,82,84,84,86,86,87,87,88,88,89,88,89,90,91,92,87,99,108,95,106,114,107,100,111,134,80,81,82,83,83,83,85,86,86,86,86,87,87,88,89,90,90,91,91,91,89,103,120,122,100,105,120,135
5,171,173,174,178,179,180,180,180,180,179,189,142,150,179,177,177,176,174,174,174,172,171,171,170,163,94,48,49,173,175,176,179,180,181,182,182,182,181,199,124,124,181,179,178,177,178,168,158,174,172,173,174,133,53,56,69,175,177,179,180,182,183,184,184,185,187,198,116,137,184,181,180,178,182,142,112,175,175,174,164,85,44,59,78,176,179,181,182,184,185,186,185,169,194,184,108,160,186,182,181,179,162,107,119,177,176,177,142,59,48,60,74,178,180,183,184,186,188,191,193,117,184,168,106,176,187,185,183,161,126,97,162,180,178,178,118,53,60,74,83,179,181,184,186,188,191,191,200,117,161,162,112,184,189,186,169,133,97,139,182,181,180,180,128,64,70,75,80,181,183,186,188,190,192,192,207,139,137,145,120,190,189,166,138,109,117,182,185,182,180,182,148,75,73,71,66,182,185,187,189,193,194,194,201,150,121,120,136,193,165,126,111,101,165,189,186,184,182,182,166,83,61,55,58,185,187,190,191,194,195,195,206,164,111,102,149,181,127,100,91,147,189,188,187,186,184,185,182,107,43,42,57,186,188,191,192,194,196,196,212,182,117,109,137,149,107,90,120,190,192,190,188,188,187,187,187,134,56,50,48,188,190,192,194,198,198,199,209,182,118,109,113,118,103,91,154,196,193,190,189,189,188,187,188,163,123,122,91,190,192,194,197,199,199,200,202,179,120,95,91,95,94,102,183,194,183,186,192,193,191,189,188,171,109,156,154,192,194,196,198,200,201,201,201,187,140,100,88,79,82,126,183,149,124,134,180,194,192,190,189,171,124,165,138,192,195,197,199,201,202,202,200,197,159,105,83,79,77,106,117,107,117,125,139,164,187,190,191,186,155,118,120,193,195,197,200,202,203,204,202,207,180,129,90,80,80,82,90,100,101,129,148,146,159,164,163,171,181,137,151,194,197,199,200,202,204,205,206,216,202,162,108,82,81,87,79,80,90,124,128,143,152,147,120,121,165,172,169,195,198,200,202,205,206,206,207,218,214,179,119,84,76,82,79,123,171,187,162,148,133,144,139,124,108,172,174,196,199,201,203,206,207,207,208,223,224,183,123,88,74,69,120,201,203,202,190,158,154,157,136,119,131,178,130,197,199,202,205,207,208,209,209,227,229,188,130,92,70,58,99,161,203,187,146,142,152,129,116,165,189,192,154,197,199,202,205,207,209,210,211,227,231,191,136,96,66,63,77,92,150,128,132,142,119,97,163,196,193,192,185,198,200,203,206,208,209,210,214,229,228,188,135,97,65,66,79,86,84,102,128,117,104,154,195,196,194,193,191,199,201,203,206,208,210,209,215,232,225,183,135,98,67,68,84,90,93,101,109,110,171,200,198,196,195,193,192,199,200,202,205,207,209,208,214,231,220,174,131,97,70,73,92,96,97,91,99,169,201,201,199,196,194,193,191,199,202,203,206,208,209,208,217,227,209,167,132,97,68,76,97,101,95,90,159,201,200,201,199,196,194,193,192,200,202,204,206,208,208,205,222,226,203,167,135,95,68,73,96,102,89,121,202,202,201,201,200,197,195,195,193,200,201,203,206,209,204,210,231,225,198,167,135,96,73,74,97,97,85,165,204,202,202,201,200,197,195,195,193,200,202,205,207,207,199,226,234,218,192,169,133,92,75,83,97,84,117,200,204,202,202,201,199,197,196,195,192,200,202,206,209,200,203,234,229,207,187,167,127,88,76,84,86,90,179,206,205,202,201,201,200,199,197,196,185
15,203,192,167,176,133,125,188,52,52,100,97,101,105,109,112,127,144,158,170,174,179,188,193,198,202,206,209,213,211,193,170,183,126,144,186,39,63,101,98,101,107,110,116,131,147,162,173,176,182,192,197,202,206,209,213,217,219,190,173,188,116,163,179,29,74,103,99,102,107,111,117,135,151,165,176,179,185,193,201,206,209,213,216,220,222,193,180,190,111,183,164,24,84,102,101,103,108,111,119,138,155,168,177,181,190,197,204,208,212,217,220,223,223,193,187,189,111,201,146,25,93,103,102,105,111,112,121,140,157,172,181,184,191,200,207,212,216,220,224,226,222,192,193,182,113,213,126,25,99,100,100,103,105,108,123,143,159,175,182,186,193,203,210,216,220,224,228,231,224,192,198,172,119,223,107,36,110,106,113,121,131,128,122,145,163,180,190,191,200,212,220,222,223,227,233,235,220,197,208,173,152,179,150,143,142,140,152,155,149,136,127,129,137,150,167,179,187,188,195,221,239,234,235,241,213,204,200,156,153,154,147,143,127,132,132,126,121,126,139,136,134,135,135,143,155,148,136,135,171,234,251,244,214,201,173,140,139,134,131,126,123,128,127,128,126,136,147,148,140,136,131,139,158,156,146,129,103,121,201,255,213,200,206,136,145,139,110,115,117,126,129,127,129,143,147,144,139,131,133,151,147,146,147,137,126,108,99,148,210,202,215,123,199,195,36,89,110,105,108,111,117,129,146,153,147,133,143,147,149,146,148,135,129,131,121,98,209,212,212,118,215,176,22,93,108,102,105,108,110,115,136,176,211,173,155,149,145,146,142,142,129,143,139,118,210,216,207,119,230,158,22,101,108,103,105,110,111,119,139,211,204,175,143,147,134,124,129,142,130,156,154,131,216,218,199,127,238,137,23,106,106,103,106,110,114,111,177,220,171,156,97,100,108,80,107,160,144,168,156,135,219,223,187,133,242,117,29,111,105,103,106,110,109,127,221,187,155,138,97,59,63,38,114,196,176,171,139,131,222,226,176,145,247,98,36,114,105,105,106,111,102,194,238,169,144,119,80,56,51,35,142,204,195,174,132,122,222,231,164,158,247,80,45,117,105,104,106,111,104,206,228,184,143,108,55,49,46,53,163,205,213,186,137,117,226,238,154,176,241,63,54,118,104,105,107,111,104,156,237,213,167,118,58,46,86,84,135,202,213,180,138,120,229,243,144,195,241,50,65,118,104,103,106,110,112,122,224,240,197,132,69,38,88,120,151,201,183,154,136,111,231,244,137,212,233,39,75,118,104,102,104,108,112,119,185,255,214,161,126,106,114,176,187,170,139,124,127,107,235,241,131,230,218,29,83,114,102,101,102,105,106,127,155,241,239,219,207,199,207,191,143,123,114,111,112,106,239,235,131,245,200,23,92,111,100,100,100,104,106,127,153,231,216,177,169,181,199,175,118,103,108,94,111,119,241,225,133,255,179,22,100,109,99,97,98,103,109,119,203,230,167,163,162,174,202,174,113,98,95,136,104,94,243,214,142,255,158,14,101,103,95,94,96,102,107,119,224,203,163,155,154,161,184,173,124,95,211,255,95,80,246,203,149,255,143,44,116,109,98,96,95,96,101,120,191,189,162,159,145,133,153,154,119,99,255,255,105,87,250,192,166,254,199,161,159,163,157,153,148,149,151,153,161,173,178,209,211,135,106,187,141,136,238,247,112,94,252,181,179,250,208,137,134,143,143,143,144,150,151,150,142,145,149,151,223,199,118,152,154,147,160,158,110,98
3,183,186,190,192,193,195,195,196,198,198,199,198,194,216,198,182,199,196,195,193,192,191,189,187,186,185,182,179,187,189,193,195,197,198,199,200,201,202,202,202,195,228,228,151,198,201,197,196,195,194,191,191,189,186,183,182,189,192,195,198,200,201,202,202,204,204,205,204,201,218,251,150,179,207,200,199,198,197,195,193,191,189,186,184,192,194,197,200,201,204,204,205,206,206,206,208,207,208,255,188,165,211,203,203,202,200,198,196,194,192,189,187,193,197,199,201,204,206,207,208,208,209,209,210,213,203,255,218,150,208,206,204,203,202,200,199,197,194,192,191,196,199,202,205,207,207,210,211,211,212,210,210,208,230,255,223,163,200,214,208,206,204,201,201,199,198,195,193,198,201,205,207,207,209,211,213,214,211,225,249,231,244,255,255,217,179,211,211,209,206,206,205,202,200,198,196,199,203,207,209,210,211,212,214,218,209,249,255,255,254,206,230,233,153,210,211,197,212,208,207,205,203,202,200,201,204,209,212,214,215,215,217,215,229,255,255,227,242,205,153,230,190,218,184,182,219,210,210,207,206,204,202,205,207,211,215,216,217,218,220,218,255,255,255,210,186,218,176,195,232,215,162,150,222,213,213,211,209,206,205,207,210,214,216,219,220,221,220,226,255,223,193,237,219,186,210,156,155,204,181,137,191,222,214,213,211,209,207,209,212,216,219,220,221,222,221,234,255,197,115,143,177,139,150,135,102,181,211,167,160,223,217,214,213,212,209,211,215,218,220,221,223,225,222,241,255,179,149,135,130,131,129,125,104,164,224,172,171,224,219,216,215,214,212,212,216,220,222,223,226,228,222,250,255,215,188,150,137,137,143,123,113,203,231,171,186,226,219,218,218,216,214,214,218,221,223,225,227,229,225,255,255,225,174,143,140,149,147,151,179,234,237,173,199,227,220,221,220,218,216,217,219,221,225,228,229,231,228,255,255,208,158,140,145,158,161,209,243,249,231,165,209,229,223,223,221,220,217,217,220,225,226,228,230,232,229,255,255,210,164,149,152,163,188,248,255,245,212,159,215,231,227,225,222,221,220,218,222,226,227,229,232,235,231,254,255,221,175,157,158,167,216,255,255,232,182,167,227,229,227,225,225,222,221,220,224,227,229,232,233,236,232,250,255,228,185,163,166,183,243,255,250,224,167,174,236,229,229,234,231,229,220,220,225,228,229,231,233,234,232,248,255,240,196,169,171,193,255,255,237,213,161,186,239,231,234,194,164,159,142,221,224,227,230,232,234,235,236,245,255,245,207,180,181,199,252,253,225,199,156,204,238,241,199,134,136,128,125,221,225,229,233,234,235,236,238,240,255,248,219,194,195,196,236,234,204,180,156,222,240,232,158,130,127,123,119,222,226,229,233,235,236,237,239,241,255,254,229,203,202,180,202,207,175,156,170,245,231,164,124,111,95,81,64,223,227,229,232,235,237,237,246,214,230,255,236,206,189,162,168,172,158,138,198,190,142,126,116,99,83,83,73,228,230,233,238,239,239,246,219,88,185,255,233,192,163,140,143,147,146,104,80,103,128,126,125,106,78,73,77,206,212,216,219,223,224,232,138,33,157,255,211,164,133,120,133,133,118,61,28,72,112,111,117,126,93,67,73,140,141,145,145,145,143,154,131,64,102,197,203,156,115,128,138,116,80,35,50,99,94,94,99,122,113,76,65,139,137,143,143,139,141,146,153,125,108,136,186,150,122,141,128,100,73,54,76,103,77,74,87,108,120,93,66
12,172,176,180,183,186,188,190,192,193,193,194,194,194,194,194,194,194,194,193,192,191,190,189,188,188,187,185,183,174,177,182,185,187,189,192,194,195,195,195,195,196,196,195,197,196,195,195,193,193,193,192,191,190,188,187,186,175,178,182,186,188,191,194,195,196,197,196,195,196,199,196,181,189,198,197,198,196,196,195,194,193,192,189,188,176,179,183,187,190,193,194,195,197,198,204,189,160,183,209,176,139,179,189,172,193,198,197,196,194,193,192,191,177,180,183,187,191,194,195,197,199,198,225,222,191,150,171,219,174,122,147,150,138,197,199,198,196,195,194,193,179,183,185,189,193,196,198,200,199,211,224,225,214,164,110,187,189,123,90,150,121,151,204,199,198,197,195,194,181,185,188,192,195,197,200,201,198,228,197,200,215,154,101,161,176,121,80,124,125,98,200,201,199,199,197,196,183,186,190,193,197,201,201,201,203,174,144,201,198,140,90,168,166,111,88,127,115,97,201,202,201,199,198,198,185,188,192,195,199,200,204,227,214,145,102,147,181,154,83,158,192,128,92,148,119,113,207,203,203,201,200,198,187,190,194,197,199,208,231,227,217,160,102,99,183,154,71,157,206,127,100,188,124,146,209,203,203,202,201,200,188,193,198,199,205,232,205,193,222,172,102,59,148,135,50,104,191,116,91,175,129,188,207,205,204,203,201,201,192,195,200,201,222,230,200,168,205,162,103,57,69,78,61,100,125,127,136,144,100,181,212,206,205,205,202,201,194,198,201,205,222,201,169,130,178,160,106,61,62,71,150,207,177,168,149,132,113,127,213,208,207,206,204,202,196,200,204,203,227,204,173,124,147,160,105,65,74,122,188,206,195,170,136,109,121,101,199,211,208,207,206,203,199,202,207,203,228,209,180,141,123,156,131,76,103,174,203,199,192,169,132,109,102,98,205,212,209,208,207,204,201,205,208,211,234,215,191,160,118,137,149,89,169,209,209,201,195,153,125,106,77,137,219,213,210,209,207,206,204,208,209,220,237,221,198,168,139,119,124,143,208,213,216,211,180,135,120,97,78,199,218,214,213,213,214,207,206,209,212,225,234,226,207,175,160,145,132,180,200,208,218,202,158,127,115,80,125,226,222,219,203,178,141,102,208,211,213,221,228,230,212,184,175,161,140,183,184,214,215,182,145,121,107,78,193,204,165,121,81,63,58,51,210,214,217,214,229,231,215,192,187,171,148,189,186,210,203,162,133,112,94,90,121,75,55,47,47,46,48,57,213,216,220,215,224,224,212,196,189,172,157,181,202,189,177,143,121,104,81,53,45,42,45,42,47,42,40,54,216,219,223,220,217,224,213,199,185,172,163,169,192,175,151,131,111,97,58,32,38,50,39,37,46,48,34,41,217,220,223,221,211,227,213,197,183,170,156,158,179,164,138,121,103,81,57,26,30,51,45,30,36,48,43,32,218,221,225,221,215,226,205,187,177,168,151,157,171,155,121,109,90,59,62,38,19,36,50,36,27,40,47,36,222,225,228,223,216,224,190,171,174,164,150,160,160,139,108,93,56,30,52,53,19,21,42,46,27,27,42,43,223,226,229,222,214,233,193,181,187,175,160,162,149,125,103,75,48,20,37,55,31,10,28,44,40,22,32,44,225,228,232,208,202,233,202,201,205,177,159,156,140,118,96,55,46,25,26,43,43,10,15,34,46,32,25,40,226,229,237,173,169,234,217,221,208,168,159,158,137,114,86,53,38,34,16,31,47,19,7,25,44,41,26,28
16,93,95,99,105,114,123,130,136,141,144,145,148,152,156,160,163,166,168,169,171,173,174,176,177,178,179,180,182,94,96,100,105,114,123,131,137,142,144,146,148,153,157,160,163,166,169,170,172,174,175,177,178,179,180,180,182,94,97,100,106,115,124,132,138,142,145,147,150,154,158,161,164,166,169,171,173,174,176,178,179,180,181,182,182,95,97,101,106,116,126,133,139,143,146,148,152,155,159,162,165,168,170,171,173,176,178,179,180,181,182,182,183,95,98,101,107,118,128,135,140,144,147,150,152,156,158,158,161,166,171,173,175,177,179,181,181,182,183,183,184,96,98,102,109,120,129,137,141,145,147,146,144,143,139,132,129,138,159,172,176,179,181,182,183,184,185,185,185,97,99,103,111,121,130,137,145,149,144,132,123,115,105,98,98,101,118,155,176,181,182,184,185,186,187,187,188,98,100,104,111,121,134,147,153,146,128,109,103,99,90,85,90,93,90,113,158,181,184,186,188,188,188,189,189,98,101,104,113,128,147,153,139,121,102,89,93,93,85,82,88,91,86,91,116,167,185,188,189,189,190,190,190,99,101,108,129,143,139,120,106,97,86,85,94,92,84,85,90,89,88,93,90,132,181,189,190,190,192,192,192,100,114,136,148,130,107,90,88,89,85,90,95,88,85,90,90,85,91,95,86,99,162,188,191,193,194,194,194,113,159,165,133,103,86,80,89,112,122,101,83,72,81,93,85,76,93,95,85,81,125,181,193,194,195,195,196,129,176,151,113,91,88,107,135,172,169,117,75,66,71,81,72,70,97,94,85,79,90,146,187,195,195,196,197,115,146,125,102,109,141,178,189,197,177,129,85,71,66,56,47,70,101,94,92,91,87,103,155,192,197,198,198,102,111,109,115,165,191,200,198,198,172,132,96,79,67,42,32,69,100,94,98,101,97,91,114,179,198,199,199,101,103,108,136,190,195,202,199,192,159,121,99,90,80,63,40,60,93,94,104,108,97,85,89,155,198,200,200,102,103,109,152,201,196,204,198,177,137,104,98,98,92,81,60,52,80,106,132,127,103,85,77,131,196,201,201,102,104,112,168,206,195,200,189,155,118,101,104,105,99,87,72,53,71,133,169,168,149,121,91,133,197,203,203,103,104,113,172,207,188,178,162,122,96,95,105,103,94,87,78,69,78,152,189,193,189,176,147,154,193,203,204,102,104,112,159,201,173,137,118,93,85,89,93,89,82,78,76,79,86,151,196,199,200,198,177,151,166,200,206,102,104,111,138,170,135,103,93,88,90,92,86,76,71,72,70,74,81,134,190,195,197,193,171,136,140,195,206,103,104,111,126,139,114,92,93,90,86,83,79,71,65,65,67,77,89,110,152,171,180,178,156,131,152,200,207,104,105,112,124,134,123,94,86,79,87,97,97,87,73,66,73,83,88,85,88,106,144,166,158,163,191,207,209,104,105,113,125,135,121,88,78,73,82,110,104,85,71,59,54,53,50,47,43,45,110,187,196,203,209,210,210,103,105,113,125,131,109,84,75,73,66,59,60,49,38,29,23,22,22,22,21,25,100,196,209,210,210,210,211,103,106,114,125,123,97,80,72,70,68,41,23,30,29,22,16,15,16,17,16,36,140,205,209,210,211,212,213,102,106,114,123,111,88,76,70,67,67,52,18,21,27,22,16,15,15,16,16,62,176,208,210,211,212,213,214,102,106,114,119,99,81,74,68,65,67,59,21,14,24,21,17,15,15,15,18,91,196,210,211,212,214,214,214
10,45,47,48,52,57,61,67,79,89,96,102,105,108,112,116,119,122,125,126,129,131,131,132,134,135,134,135,137,46,48,50,52,57,61,68,81,91,98,105,108,110,114,117,120,123,125,126,132,131,133,133,135,136,135,136,136,45,48,51,54,59,62,70,83,93,100,106,108,110,116,118,122,122,133,133,111,134,134,135,137,137,137,137,137,44,49,51,56,60,63,72,86,95,103,108,110,113,117,121,126,119,158,146,66,124,140,137,139,140,139,139,139,45,50,52,56,61,64,74,88,97,104,110,112,116,119,123,127,124,147,155,82,91,147,139,141,142,142,141,142,47,51,54,56,61,65,76,89,98,107,111,114,119,122,125,130,130,140,163,99,66,138,145,145,145,145,145,145,47,52,55,58,62,65,78,91,100,109,114,115,120,125,128,131,136,135,162,124,71,118,152,146,147,148,147,147,48,53,55,59,63,66,79,93,102,109,115,116,121,127,130,134,137,137,160,144,83,94,157,148,150,151,150,150,49,53,56,61,63,67,82,95,104,112,117,117,122,127,133,133,154,142,85,123,98,72,151,154,154,153,153,153,50,53,56,60,63,69,84,97,106,114,117,120,126,131,135,135,168,113,57,92,151,73,138,160,156,157,156,156,51,54,57,61,64,70,85,98,107,115,118,121,128,131,139,138,163,105,72,61,169,82,117,165,158,160,159,158,51,55,57,62,65,72,87,99,109,117,119,125,128,139,130,150,184,127,116,68,111,100,93,169,160,163,161,161,52,55,57,62,66,73,89,100,111,119,121,119,144,189,146,168,153,148,140,88,60,96,78,164,162,164,164,164,54,55,59,63,66,74,90,102,112,119,126,134,147,215,177,179,116,105,145,111,61,67,63,148,169,165,165,165,55,56,60,63,66,74,91,103,116,112,176,200,133,143,184,187,136,57,127,143,91,57,45,126,174,165,167,166,55,56,59,63,67,76,92,105,117,115,185,217,154,70,127,191,128,60,71,145,113,73,39,107,176,167,169,170,54,57,60,64,68,78,94,106,118,125,152,129,163,143,84,125,78,36,39,117,124,91,51,92,177,168,170,171,55,57,60,64,68,79,95,107,119,124,164,112,134,160,68,85,99,28,78,126,124,111,69,78,176,170,171,172,55,57,60,64,68,80,96,109,122,121,177,160,104,85,70,105,108,99,166,153,127,119,82,73,168,174,173,172,56,59,61,65,69,82,98,111,123,123,177,157,128,110,97,107,118,186,186,144,132,113,84,79,167,176,173,173,55,59,62,65,69,83,98,112,125,123,199,191,158,119,115,128,209,216,166,127,113,102,85,88,173,175,175,175,56,58,63,64,69,84,98,112,126,123,199,205,162,130,143,164,233,195,158,130,100,89,80,104,181,176,177,178,57,58,62,65,69,84,100,114,128,122,206,212,160,160,152,176,227,184,147,124,99,83,75,126,184,175,177,178,57,59,61,65,69,85,102,115,128,124,197,201,168,177,158,202,208,168,133,110,93,84,75,140,185,177,178,179,57,60,63,65,71,86,102,116,129,124,180,198,192,184,180,211,187,145,119,98,87,84,80,162,183,178,179,180,57,59,63,65,71,87,102,115,130,125,158,214,207,183,165,180,165,129,105,91,87,75,97,181,180,181,181,182,57,60,64,64,71,89,104,117,128,132,138,201,192,170,149,152,149,133,111,98,88,65,123,187,181,182,182,185,57,59,64,65,73,90,105,119,128,134,132,172,171,155,146,149,145,149,125,96,83,60,141,188,180,182,184,186
10,50,93,95,99,106,112,121,133,143,147,151,155,160,165,169,171,175,175,178,180,180,180,180,181,182,182,180,179,57,95,96,101,107,113,123,135,144,149,154,158,164,168,171,175,176,190,177,181,183,182,183,183,183,183,183,181,62,97,97,102,108,113,126,138,147,153,158,163,169,172,176,175,186,228,154,167,189,185,187,185,185,184,184,183,70,97,99,104,109,115,128,141,150,156,161,167,171,174,179,178,193,226,165,147,195,188,190,189,189,188,187,185,76,98,100,105,109,116,130,143,154,155,161,169,174,179,183,182,190,228,194,140,194,191,191,192,191,190,189,188,82,98,101,105,110,118,133,146,153,174,170,167,181,183,185,187,187,237,224,142,187,198,195,194,192,193,192,190,88,99,102,106,111,119,134,147,157,231,169,118,169,187,189,192,190,234,225,148,176,204,197,197,197,197,195,193,92,98,102,107,113,121,136,149,158,195,152,114,110,199,171,161,198,227,235,155,161,209,200,200,199,199,198,197,94,98,102,108,114,122,137,152,161,168,160,133,118,191,136,132,200,231,246,163,145,212,203,204,202,201,201,199,97,100,103,109,114,123,139,153,164,169,175,165,159,204,134,86,192,228,210,152,120,209,207,207,206,204,203,203,100,101,104,109,113,123,141,155,166,171,175,191,174,207,150,85,150,213,148,125,103,200,211,208,209,208,206,205,101,101,104,109,113,124,143,158,169,172,177,187,181,210,175,139,105,133,117,122,98,191,217,211,212,210,208,207,102,103,104,109,114,125,144,159,170,174,179,191,205,170,199,187,156,95,88,110,98,167,226,214,215,213,212,210,103,103,104,109,115,127,145,160,172,176,176,215,221,143,152,230,196,161,110,97,92,127,227,216,218,216,215,214,103,104,104,110,115,128,146,162,174,177,186,209,234,189,95,187,232,192,161,92,80,102,224,221,221,219,218,215,103,103,104,110,114,128,148,164,172,187,237,176,212,179,111,170,247,207,173,98,72,103,224,224,223,222,220,219,104,102,105,110,114,129,149,165,172,197,255,181,154,195,149,232,233,196,173,113,80,79,205,232,224,225,223,222,104,103,105,111,114,131,150,166,176,184,233,204,138,228,210,248,237,191,166,121,88,72,200,236,228,227,224,224,104,104,105,110,114,131,151,166,179,178,212,208,147,231,172,221,240,202,153,116,94,79,211,236,229,230,228,225,105,104,106,111,114,132,152,169,179,180,208,228,193,190,109,239,235,189,148,114,98,88,221,236,231,232,231,228,105,104,105,109,114,133,152,169,181,186,186,244,243,179,151,255,225,183,144,109,99,94,228,238,233,233,231,229,105,104,105,109,114,133,152,171,182,185,189,218,255,251,229,248,213,173,137,112,102,104,236,237,236,234,232,232,105,103,104,109,114,133,153,170,181,185,192,207,255,255,229,214,194,160,135,121,99,124,246,236,237,236,234,232,105,102,102,106,113,133,152,169,180,183,193,195,187,249,203,176,188,172,153,139,96,146,249,234,237,236,234,233,103,101,101,104,111,132,152,169,178,182,198,183,60,230,184,195,203,201,189,156,88,147,249,235,238,237,236,233,102,98,99,103,109,131,151,169,180,181,201,173,21,190,240,216,186,194,180,130,70,63,243,240,239,237,236,234,97,95,96,100,107,128,149,168,178,182,201,145,25,118,200,181,157,159,129,72,22,97,254,237,239,238,236,234,104,99,100,100,107,127,147,165,176,181,195,125,41,72,72,65,55,57,43,25,7,150,254,235,238,237,237,235
5,121,126,129,131,136,140,143,146,149,151,150,153,155,156,157,158,158,158,157,157,157,156,156,156,155,154,154,153,122,127,130,132,137,142,146,148,147,159,156,125,158,157,158,159,160,160,159,160,159,157,157,157,155,155,155,155,123,129,131,134,139,143,147,150,145,177,152,114,158,159,159,160,160,160,160,161,159,159,158,159,158,156,156,155,124,130,131,134,140,143,147,148,153,192,118,131,163,159,160,161,161,161,161,158,160,157,159,159,159,158,156,156,124,130,133,133,139,145,149,145,176,192,104,149,162,161,162,162,163,160,161,170,182,124,144,164,159,159,157,156,126,131,130,146,142,140,151,144,192,182,111,158,162,162,163,165,161,166,192,179,146,116,153,164,160,160,158,157,126,133,126,175,150,114,156,148,204,166,116,162,163,164,166,163,171,206,182,122,121,158,164,162,162,161,159,158,127,134,126,180,145,111,156,153,211,151,118,167,164,165,163,172,205,186,130,116,161,167,164,162,162,162,161,160,128,135,130,193,133,120,155,162,210,141,113,168,164,164,172,200,175,125,122,165,169,165,165,164,163,163,162,160,129,135,133,192,141,114,155,166,202,152,108,162,166,166,195,183,118,114,165,170,167,166,166,165,165,164,163,161,129,137,131,182,165,108,154,162,199,155,102,158,170,175,186,146,105,150,175,167,169,168,168,166,167,166,165,163,131,138,133,167,186,113,125,159,193,154,92,141,168,157,143,116,129,171,167,168,170,170,168,167,163,164,166,164,133,137,136,154,191,153,136,127,170,172,118,102,119,122,111,117,162,163,189,194,190,187,180,170,121,139,175,163,134,138,140,146,165,176,170,146,145,161,125,103,104,110,109,135,151,172,167,156,165,180,170,155,130,108,155,170,134,139,141,146,149,156,173,185,188,166,126,100,100,103,119,123,125,140,113,107,176,186,153,130,118,112,152,171,134,139,140,146,153,153,157,191,209,188,139,100,101,101,109,118,111,96,122,169,197,157,116,127,159,170,171,168,136,140,142,147,153,159,159,174,205,198,150,105,98,96,101,109,95,129,184,177,174,121,111,172,177,172,171,170,136,140,142,149,153,158,163,162,194,208,170,119,96,97,95,93,85,133,160,165,173,116,138,181,172,173,173,171,137,141,143,150,154,159,164,162,188,212,184,139,101,92,91,98,110,130,138,160,164,112,154,181,174,174,173,171,136,141,143,149,154,157,162,163,175,216,197,160,114,92,93,101,111,138,153,149,151,112,161,180,174,175,174,172,136,140,142,148,154,158,162,163,172,217,207,178,132,96,94,100,121,149,152,132,125,105,165,179,175,174,173,172,136,140,142,148,155,160,165,165,172,216,208,187,148,106,92,106,132,153,146,119,106,126,180,177,177,174,173,173,137,142,143,149,155,159,163,165,170,211,210,190,164,120,97,100,136,147,139,110,107,173,181,178,177,176,174,174,137,142,143,148,154,160,163,166,168,199,212,192,174,137,110,97,126,141,128,104,119,183,178,178,177,175,173,173,135,140,143,149,155,161,165,171,170,193,207,202,183,158,124,104,108,128,118,101,149,189,182,182,182,180,178,180,129,133,135,139,141,145,147,151,146,185,214,211,191,164,129,111,105,117,108,106,147,153,150,151,150,150,151,142,103,103,103,104,103,102,102,105,93,172,224,210,188,152,125,114,107,108,108,103,95,95,93,93,94,91,89,132,107,108,108,108,108,106,108,112,99,169,218,202,170,129,116,110,108,110,107,102,102,101,101,101,98,103,167,200
24,171,176,182,185,188,190,193,196,198,200,202,206,206,207,209,212,213,215,218,218,219,220,221,221,220,222,222,223,171,176,180,183,188,191,194,197,199,202,202,206,208,209,212,214,214,216,219,218,220,222,222,222,223,225,225,226,172,178,181,185,189,192,195,198,201,204,205,208,211,212,213,216,216,217,220,220,222,222,224,224,225,226,226,226,173,179,182,187,189,192,196,199,201,204,206,210,212,213,215,218,217,217,221,222,224,225,225,227,227,227,227,227,173,180,183,188,190,193,197,200,203,206,208,210,213,215,216,219,219,219,221,224,226,227,226,227,228,227,226,226,174,180,185,189,194,195,198,201,204,207,209,210,214,215,215,217,222,224,224,225,226,227,227,227,227,227,229,228,177,178,196,185,163,199,197,202,205,208,210,212,212,213,222,221,217,209,227,226,228,227,227,227,228,230,229,229,177,176,206,206,138,188,201,202,206,209,212,215,215,191,166,221,219,168,168,231,226,227,227,229,230,230,229,230,178,179,188,210,155,150,207,201,205,211,181,207,238,201,142,190,229,184,119,173,238,227,230,232,231,232,233,230,178,182,184,204,196,147,190,204,218,229,188,173,238,207,158,175,234,191,132,112,232,230,232,234,231,233,218,194,177,182,188,194,228,190,150,199,234,247,205,162,224,219,160,154,231,184,130,90,210,237,229,230,234,224,182,144,178,183,188,188,215,210,157,171,220,255,223,171,184,233,172,132,211,165,119,76,192,240,228,233,224,206,162,125,177,184,189,191,194,214,221,197,195,237,233,178,142,207,182,120,170,153,120,79,142,244,233,213,202,189,134,152,178,185,189,192,192,210,228,218,221,231,216,172,121,168,177,117,134,174,132,86,94,207,209,193,190,153,112,209,179,184,189,192,197,197,221,223,216,226,214,170,144,137,195,141,131,216,141,95,149,166,192,194,156,106,180,243,179,185,188,192,198,196,214,238,209,187,186,186,184,132,200,182,104,193,148,181,211,190,181,166,120,149,242,233,179,185,190,194,197,198,210,235,189,176,174,185,183,150,178,167,111,183,226,225,203,182,157,138,124,232,236,235,179,185,191,195,197,200,207,246,215,189,169,170,179,198,176,168,210,235,223,213,196,174,148,116,184,245,233,236,180,186,191,194,197,204,202,250,240,206,175,163,196,215,227,242,245,229,218,206,188,163,124,132,241,237,237,237,180,186,191,194,198,204,202,248,254,216,199,176,183,211,235,255,240,227,223,204,171,141,107,188,246,235,237,237,181,187,191,194,199,202,199,238,255,226,217,201,184,212,232,251,239,231,221,195,166,122,132,240,235,236,237,237,182,188,191,194,198,201,204,218,255,240,223,215,197,208,230,243,238,226,210,190,169,110,202,245,237,238,238,237,181,187,192,195,197,201,206,207,232,246,232,212,199,207,227,236,228,212,192,180,134,153,245,235,239,238,239,238,181,186,191,195,197,202,208,208,221,250,229,211,198,210,218,221,214,198,175,149,121,226,240,236,238,239,241,241,179,185,189,192,196,200,204,206,216,234,213,209,201,204,210,215,209,193,167,120,169,249,234,237,237,237,237,239,176,183,188,191,194,199,202,205,214,220,208,220,216,215,218,212,200,184,156,114,212,240,234,235,236,236,236,236,176,182,187,190,191,198,201,202,214,237,228,237,225,223,214,204,193,176,139,122,230,234,233,234,235,235,237,236,175,181,187,189,191,198,201,200,214,255,235,233,226,220,204,198,193,167,125,137,240,231,234,234,234,235,237,236
20,118,120,121,120,121,123,123,124,124,124,124,124,124,124,123,122,120,122,119,117,117,116,113,112,110,108,106,104,122,124,125,124,126,127,127,128,128,127,128,127,127,127,125,134,122,81,128,124,120,119,117,115,114,112,109,108,128,128,128,129,130,131,130,131,131,131,132,131,131,131,129,139,133,58,94,117,126,122,121,119,118,115,113,112,131,132,134,134,134,134,135,135,136,137,136,135,135,135,133,138,135,52,36,62,120,128,125,123,121,119,117,115,134,135,136,136,137,138,139,139,140,141,139,139,140,140,137,147,131,38,71,72,88,138,127,127,125,124,121,119,139,140,141,141,141,143,143,143,143,143,142,143,144,144,140,151,127,35,98,93,61,141,130,130,128,127,124,122,142,143,144,145,145,145,147,146,146,146,147,147,147,147,142,159,134,45,103,102,54,140,135,134,132,131,128,125,146,147,147,148,148,148,148,148,149,149,149,150,150,149,145,167,120,39,110,127,58,134,141,136,136,135,133,128,149,150,149,149,151,151,152,152,151,152,152,152,153,153,155,174,100,40,129,126,51,129,147,140,139,137,135,133,152,152,153,153,154,155,156,156,156,155,154,157,156,140,137,173,110,60,146,122,44,124,149,143,142,140,137,135,155,156,157,158,158,157,158,159,158,157,157,158,159,151,126,122,112,53,123,129,56,123,151,145,145,143,141,138,158,158,158,160,159,159,161,161,161,161,160,161,158,167,172,133,91,63,107,135,68,116,156,148,147,145,144,140,160,160,161,162,162,163,164,163,164,164,163,164,161,122,135,134,129,91,67,106,60,109,161,149,149,146,144,142,162,163,164,163,164,165,165,164,166,165,165,164,169,134,49,116,147,82,29,52,43,96,165,151,151,148,146,144,164,164,164,165,166,166,166,166,167,166,167,167,172,139,21,88,146,103,50,33,22,82,168,154,153,150,148,147,165,165,166,167,168,168,167,167,169,167,168,168,163,135,72,59,101,125,81,69,27,61,170,156,155,154,151,149,167,167,168,170,170,170,170,170,170,170,171,161,161,137,105,56,32,96,103,79,33,37,167,159,158,156,153,152,169,170,171,171,171,171,171,172,171,172,166,162,140,139,132,95,51,62,94,93,50,25,155,164,158,157,156,154,171,172,172,173,172,173,172,173,173,173,162,150,100,80,122,113,59,43,75,121,87,23,113,174,159,159,157,155,173,173,173,174,175,173,175,175,176,175,161,154,117,41,51,106,43,23,58,124,119,49,46,169,163,161,160,157,174,175,175,176,177,176,176,177,177,176,163,146,119,82,30,64,49,27,99,151,134,73,22,153,168,163,162,158,176,176,178,178,178,178,178,178,177,180,160,154,151,89,44,65,79,74,158,154,122,53,35,165,166,163,162,159,177,178,179,179,179,179,179,180,179,183,159,155,154,98,67,67,142,170,169,128,105,27,68,179,163,164,163,161,177,178,179,179,179,179,180,180,181,184,161,148,142,112,72,64,155,170,147,108,84,22,108,181,164,165,164,163,176,177,178,179,179,179,179,179,180,184,163,137,133,112,76,65,142,152,128,92,61,21,144,175,164,165,163,161,178,178,179,180,180,180,180,181,182,183,174,139,132,113,91,74,139,152,117,76,33,42,175,167,163,165,170,166,178,178,180,180,181,181,181,182,183,183,185,149,130,117,99,67,121,136,95,54,8,112,182,172,174,162,125,71,179,179,181,181,182,183,182,182,184,184,182,157,138,117,96,69,88,98,56,21,31,173,170,132,100,56,10,1
5,169,173,175,178,180,182,185,186,187,187,188,190,189,188,190,190,189,190,189,191,190,189,189,188,189,190,190,190,172,175,177,180,183,185,186,188,189,190,191,191,191,190,192,192,192,192,192,193,192,192,192,192,192,192,192,192,173,175,178,181,185,187,188,190,191,191,192,192,193,193,187,186,195,194,194,194,194,195,196,195,194,193,193,193,175,177,181,183,186,188,190,191,192,193,193,196,192,203,178,134,199,196,196,196,197,196,197,198,196,195,195,194,176,180,183,184,188,190,191,195,196,195,196,194,204,207,156,151,200,197,198,198,198,199,200,199,199,198,196,196,178,181,184,187,191,192,196,174,187,198,196,200,224,157,137,199,200,198,198,197,199,196,197,202,201,199,199,197,180,182,185,188,192,190,210,143,157,205,193,225,204,121,185,205,199,198,206,207,204,154,155,210,201,202,202,200,180,183,186,189,190,198,206,122,175,204,200,216,153,146,209,199,200,216,216,181,164,138,179,207,202,204,204,202,181,185,188,191,190,213,172,128,204,201,199,171,124,186,206,197,211,211,158,130,177,197,207,203,204,205,205,204,182,185,189,191,190,219,159,147,208,200,180,143,130,209,193,195,188,138,140,195,211,207,205,207,205,205,205,205,183,186,190,192,192,220,161,150,211,195,175,151,137,209,181,191,131,130,205,209,205,206,206,208,207,207,207,206,184,186,189,192,195,216,164,144,210,193,178,143,148,186,174,176,117,179,213,206,208,206,208,207,207,209,207,206,184,188,191,194,195,205,200,148,185,198,180,121,144,154,169,153,136,204,209,209,209,208,205,210,210,209,209,208,185,188,192,196,197,197,213,184,145,186,160,145,119,131,155,136,166,215,207,203,209,216,194,158,211,210,209,208,184,187,191,192,198,192,203,216,166,148,142,134,124,127,127,137,187,209,202,210,220,198,204,158,180,219,209,209,184,188,190,193,197,196,198,225,201,155,122,115,116,117,119,146,168,196,210,194,169,146,175,191,153,191,213,209,185,189,191,193,196,199,198,219,210,160,117,113,114,112,118,145,156,164,176,134,139,190,193,187,143,167,214,207,186,190,193,194,196,199,198,212,216,161,114,109,110,108,116,131,139,124,135,165,206,199,198,155,150,214,210,210,186,190,192,194,197,199,198,209,219,167,115,106,110,110,113,123,119,131,198,216,203,196,171,126,206,215,211,211,189,193,195,197,199,200,199,206,220,174,121,105,108,112,109,115,97,159,224,207,196,185,125,147,219,208,211,211,169,175,182,185,188,193,193,200,219,182,129,105,107,108,112,129,136,144,188,199,198,158,120,200,221,215,215,216,113,114,118,119,121,129,120,175,228,188,139,107,109,108,111,132,155,166,145,187,199,143,134,187,186,190,192,194,118,117,116,116,115,118,105,174,226,194,150,111,106,113,122,143,161,171,157,177,177,124,114,115,117,118,121,120,118,118,118,125,124,125,113,180,222,198,156,116,107,113,143,163,176,167,141,141,140,122,127,124,128,126,122,120,116,116,117,120,120,124,114,171,219,200,162,127,118,109,151,170,171,151,124,113,117,129,133,128,126,122,145,181,117,117,118,119,119,122,112,170,213,196,164,138,125,106,145,167,161,133,113,115,124,126,125,116,141,186,212,203,117,118,119,119,118,120,112,187,216,193,169,144,124,107,127,148,138,119,113,124,128,124,120,171,222,216,199,186,116,116,118,119,119,119,115,200,215,189,164,133,115,105,115,124,118,113,122,126,129,126,188,232,212,198,190,171
14,182,183,183,185,185,186,186,186,185,185,184,183,183,182,178,178,177,175,174,173,170,169,168,166,164,161,159,157,185,184,185,186,188,189,188,189,189,188,188,186,185,184,182,181,180,178,176,176,175,172,170,168,167,166,164,162,186,188,188,190,191,192,193,192,191,190,190,189,187,185,184,183,182,180,178,177,175,174,173,172,168,166,165,163,188,190,191,193,193,194,193,193,194,194,192,191,192,187,184,183,183,182,180,178,177,176,174,174,172,167,166,165,190,191,192,194,194,195,197,196,196,199,197,190,178,192,194,194,187,184,184,182,180,178,175,175,174,172,169,167,193,194,195,196,196,198,200,199,195,178,166,155,96,113,123,158,184,191,190,184,182,180,178,175,176,174,170,167,195,195,197,200,199,200,201,193,165,139,109,77,44,55,82,90,120,138,168,189,185,183,181,178,178,176,173,170,196,197,199,199,200,200,202,187,148,95,56,43,47,40,62,80,95,72,115,204,184,185,182,180,178,177,175,172,197,199,201,202,202,195,188,161,106,34,26,31,32,28,33,38,60,41,64,167,191,185,184,183,179,178,176,174,198,200,203,204,203,183,166,122,58,33,23,24,30,30,33,32,42,56,55,66,184,189,186,184,183,181,177,175,200,202,203,204,202,176,146,70,35,40,32,30,31,25,28,31,33,54,46,83,201,189,188,185,183,181,178,177,204,203,204,204,204,185,151,64,32,30,31,38,29,56,170,150,158,69,46,59,155,198,189,186,184,183,181,178,203,206,207,206,206,185,152,78,29,25,26,38,23,144,223,209,216,183,106,65,75,113,175,191,184,184,182,178,205,206,207,207,205,186,149,72,38,41,31,16,111,216,203,204,200,210,183,93,98,70,144,199,185,185,184,183,206,206,207,209,205,192,154,81,53,49,38,45,204,211,210,206,206,202,120,99,98,69,166,197,188,186,185,184,207,208,209,212,206,195,167,106,67,45,32,63,213,208,210,207,212,161,92,100,79,83,199,193,191,188,186,184,207,210,212,211,202,193,173,112,76,47,22,99,232,209,208,213,197,97,83,93,56,131,207,192,193,190,188,186,208,211,212,210,197,196,171,122,83,47,28,59,178,210,220,213,137,87,74,76,40,179,200,195,193,191,189,185,207,210,212,210,198,193,169,125,81,48,43,39,52,83,170,144,85,97,87,40,122,209,195,197,195,193,190,187,209,211,213,208,197,201,174,123,90,54,42,49,59,62,68,65,77,88,58,97,211,200,198,195,194,194,191,187,210,210,215,206,197,208,172,122,89,57,39,49,60,69,75,67,72,75,71,202,205,201,199,196,194,193,191,190,211,212,216,202,200,204,164,116,93,61,39,50,61,65,75,77,63,43,167,216,203,202,200,198,195,194,191,190,212,213,216,200,201,197,160,115,99,67,40,49,64,69,73,75,43,100,218,203,204,204,201,199,196,194,193,190,211,213,215,199,202,188,152,119,100,67,40,53,70,76,77,55,64,212,210,207,205,204,202,201,199,195,193,191,212,213,215,198,196,173,145,113,95,65,38,53,71,70,68,28,135,227,207,210,207,204,203,202,200,196,193,191,213,214,215,197,187,170,141,111,91,65,40,51,66,67,43,60,215,212,210,211,210,205,204,202,199,198,194,191,213,216,213,198,179,168,135,103,82,61,41,49,59,53,30,176,224,212,212,211,209,206,204,202,200,198,196,193,212,214,213,197,172,161,129,99,73,55,39,45,45,28,147,230,213,215,213,211,209,206,205,203,200,197,195,193
12,162,164,164,165,166,166,167,168,168,168,168,169,169,169,169,170,170,169,170,170,168,169,169,169,168,168,168,167,163,164,166,167,167,167,169,169,168,170,169,170,170,170,170,171,170,170,171,171,170,169,169,170,169,169,169,169,164,164,166,168,168,169,171,171,170,171,171,172,172,171,172,172,172,173,173,172,171,171,171,171,171,170,170,170,165,166,167,168,169,170,172,172,171,171,172,172,173,172,173,174,174,175,173,173,173,173,173,172,172,172,171,171,167,168,169,170,170,170,173,174,172,172,173,175,172,181,174,170,176,174,175,177,174,175,174,174,174,174,173,173,169,170,171,171,172,172,173,175,173,181,184,169,181,196,183,140,152,185,176,162,176,174,175,176,175,175,175,173,169,170,172,172,174,175,175,172,187,214,199,156,170,204,188,126,105,187,178,127,147,180,175,177,176,176,176,175,170,171,173,174,175,174,176,169,195,218,203,155,158,209,186,134,96,184,170,125,100,178,179,178,177,177,178,177,170,172,174,175,176,177,176,173,200,215,203,154,154,211,182,147,121,187,154,112,84,164,184,179,179,178,178,177,172,174,175,175,177,174,189,199,173,185,203,180,135,207,191,146,140,188,163,107,77,155,187,179,180,180,180,179,172,175,176,176,176,177,215,200,152,142,179,169,114,195,189,116,144,196,149,99,75,149,189,180,182,181,180,179,174,176,178,179,174,197,218,203,174,120,154,124,80,124,129,89,151,159,103,78,73,147,191,181,183,182,181,181,175,178,178,180,176,208,215,209,181,137,123,120,70,64,80,153,175,154,112,114,99,150,193,182,184,183,182,181,177,178,181,179,181,211,192,207,186,159,108,89,98,81,153,214,208,186,156,155,123,152,193,183,184,183,183,183,177,180,181,179,187,218,201,185,187,161,121,88,89,141,218,212,204,186,158,146,114,135,195,185,186,184,184,184,179,181,182,178,201,218,207,166,182,161,131,95,84,204,218,212,203,187,163,135,103,136,196,186,187,185,184,186,180,182,184,178,206,218,212,190,165,160,171,121,119,218,214,212,202,184,152,130,98,138,197,186,189,187,186,187,181,183,186,180,198,218,213,194,162,142,163,155,184,218,213,212,202,178,150,127,101,120,195,187,190,189,187,188,182,183,186,181,201,218,215,199,186,172,155,194,213,218,210,211,202,174,154,122,99,113,197,190,189,189,188,188,183,183,186,182,203,218,216,209,200,195,179,195,205,218,205,204,196,176,149,119,88,134,200,189,190,190,190,189,183,184,187,183,200,218,217,215,206,197,185,189,196,215,202,193,187,177,138,113,86,173,195,191,192,191,192,190,184,185,188,186,193,218,217,216,208,192,182,189,191,208,196,184,183,167,129,94,112,200,190,192,192,192,192,191,183,185,187,188,187,212,216,213,204,185,176,186,186,197,189,180,174,148,112,80,167,199,193,194,194,192,193,192,185,187,190,193,190,211,218,208,199,185,181,189,195,209,197,182,163,131,84,115,202,193,195,194,194,194,194,193,184,178,174,168,156,165,161,138,134,132,131,136,132,138,126,117,113,99,76,182,211,196,196,196,196,195,196,194,132,127,119,112,95,85,82,76,69,62,56,53,41,40,40,39,38,42,46,92,152,197,197,195,196,195,195,195,112,113,114,107,96,89,86,78,72,66,62,54,45,44,43,41,38,35,32,24,29,178,200,194,195,195,194,194,126,111,114,105,95,88,83,77,71,62,58,52,44,42,43,41,36,32,35,23,83,202,193,196,195,194,194,193
10,87,96,113,135,145,153,158,160,162,166,167,169,169,171,171,171,169,169,168,166,167,166,161,160,159,158,155,151,87,97,114,137,147,155,159,162,165,168,170,171,171,172,173,173,173,172,170,172,154,153,167,162,161,158,157,153,88,99,116,138,149,157,161,164,166,170,172,173,175,175,175,175,176,176,172,180,137,101,171,165,164,161,158,156,90,101,118,140,151,158,164,166,167,171,174,175,176,177,178,178,178,178,175,182,142,92,165,169,165,165,161,159,93,101,120,141,152,159,166,168,169,173,176,177,178,180,181,181,181,180,178,184,138,87,161,174,169,168,164,162,93,103,122,144,153,162,169,170,172,175,177,179,181,181,182,183,183,183,181,185,138,86,162,177,172,171,168,165,95,104,123,145,155,164,169,171,172,177,181,181,183,183,184,187,185,185,183,190,147,89,161,180,173,173,170,167,96,105,124,145,156,164,169,171,174,180,183,183,184,186,186,188,188,186,185,192,140,84,161,182,175,174,171,168,97,105,126,146,157,165,170,173,175,181,184,184,187,187,188,189,191,190,192,171,104,79,164,183,177,176,173,170,98,106,127,147,158,166,171,174,177,182,185,187,188,189,189,190,187,175,195,152,73,87,174,184,180,177,175,171,99,108,128,147,158,166,172,175,178,183,187,188,189,191,194,196,182,145,134,123,76,72,182,183,181,179,175,173,99,109,129,147,159,168,173,176,179,185,188,189,190,190,175,183,195,175,126,75,79,65,164,188,181,180,176,175,100,110,131,148,159,168,173,177,181,186,189,191,195,187,140,111,110,142,91,63,82,61,124,197,181,181,179,176,101,110,132,148,160,169,174,178,181,186,190,187,179,194,161,119,39,47,47,92,97,57,113,198,182,182,180,177,102,111,132,148,162,170,175,179,182,185,192,178,131,143,182,135,63,43,47,118,142,70,104,198,183,184,181,178,101,111,135,149,161,169,176,180,183,186,194,186,165,121,163,146,90,42,53,119,163,89,91,196,186,185,182,180,102,112,135,150,162,170,177,180,184,189,192,166,174,139,129,144,96,39,68,143,161,100,73,186,189,185,182,180,102,112,134,150,162,170,176,180,185,188,198,165,135,126,87,133,109,63,104,160,143,96,69,184,191,186,184,181,102,111,135,151,162,170,178,180,185,189,194,170,129,113,92,123,152,99,124,165,114,76,82,195,191,188,184,181,102,113,136,151,162,171,178,181,185,189,191,193,162,115,108,110,149,99,126,151,106,60,100,201,188,187,185,182,102,113,137,150,162,172,179,181,186,190,189,195,176,141,115,100,149,151,147,131,103,52,118,206,189,188,187,185,100,113,136,149,161,171,177,179,183,189,190,184,175,154,133,116,164,185,150,118,96,50,138,203,189,187,184,183,99,110,134,147,160,170,176,178,183,187,192,176,166,157,145,129,157,174,139,107,85,47,160,198,188,186,182,182,98,109,134,146,159,168,175,178,183,187,191,189,166,162,151,129,145,160,127,96,66,59,188,190,188,186,183,181,93,105,131,142,156,166,173,177,181,186,189,193,177,157,143,124,124,137,111,86,48,108,203,188,188,186,184,182,107,119,140,152,163,172,178,182,185,189,193,195,195,165,136,120,115,126,116,85,50,158,196,186,185,181,178,177,136,139,144,143,137,136,136,135,135,133,133,128,142,175,143,140,129,126,120,80,57,103,108,104,102,102,102,93,100,99,99,99,99,99,100,100,102,100,100,98,109,180,161,154,134,125,106,76,57,86,88,87,85,78,45,24
8,82,90,95,100,103,106,109,110,112,114,117,119,120,122,125,125,128,129,130,130,131,131,133,135,135,135,135,135,84,90,95,100,104,107,111,112,113,120,108,111,123,124,125,127,129,129,130,131,132,133,135,136,135,136,135,135,85,92,97,101,106,109,113,112,120,141,91,80,128,124,125,128,130,131,132,132,135,136,134,135,136,136,136,136,86,93,99,104,106,110,114,109,131,133,74,76,130,125,126,129,131,131,132,135,137,135,138,138,137,137,137,138,88,92,100,105,107,110,114,110,145,113,59,93,131,125,127,130,132,133,134,136,136,137,120,134,139,137,139,139,91,94,100,106,108,112,112,118,148,97,57,108,130,128,130,131,132,135,137,134,146,137,65,108,147,138,139,140,92,95,101,105,107,113,112,130,147,97,62,122,129,129,131,133,138,136,137,135,156,129,52,103,149,140,142,142,92,96,102,106,111,115,110,139,141,92,67,127,125,130,133,124,117,133,138,124,154,132,69,97,151,141,143,142,92,98,104,108,111,116,109,148,134,80,78,127,100,108,139,121,89,90,133,109,152,137,104,76,139,146,144,145,93,100,107,108,110,116,112,158,138,94,135,133,103,91,137,123,85,80,125,100,127,150,114,69,100,152,143,146,95,101,106,108,113,117,117,165,135,118,170,137,98,94,134,111,70,83,118,80,131,158,116,70,82,156,144,148,95,101,106,110,114,115,125,158,124,101,167,148,87,100,133,97,57,81,106,74,154,154,117,66,95,157,146,148,97,102,107,109,113,113,128,152,136,111,149,141,71,113,128,86,59,62,97,74,155,143,108,59,100,158,147,150,96,103,109,110,116,113,135,155,147,141,149,137,92,110,139,101,55,63,95,104,149,124,95,55,111,158,148,151,97,102,108,110,115,114,154,148,142,127,139,149,112,122,155,112,54,82,116,137,142,112,84,55,124,156,149,151,96,102,108,113,113,123,155,120,117,107,117,127,91,120,118,81,107,140,141,120,123,111,84,53,128,157,150,151,97,103,108,113,111,140,153,122,110,100,84,81,76,80,110,141,156,140,134,108,97,98,81,49,132,157,150,153,98,104,109,113,110,161,152,131,116,95,83,79,84,131,175,175,148,134,122,96,80,80,68,57,153,154,153,154,98,106,110,112,122,173,152,135,115,97,85,68,116,177,174,168,148,123,107,85,71,74,51,93,162,152,154,155,100,106,112,108,140,177,148,135,117,106,91,97,163,171,169,158,135,112,95,76,64,67,48,136,159,153,155,156,100,106,114,105,154,179,147,133,125,117,110,145,166,165,159,147,123,102,87,68,61,58,53,149,159,154,156,158,101,106,114,106,166,176,149,141,136,129,145,163,170,154,140,133,112,93,79,64,61,52,70,159,156,156,157,157,102,107,114,107,173,177,151,142,132,134,160,169,165,141,129,121,103,86,71,61,59,45,116,162,155,159,158,157,103,108,115,108,165,180,158,144,133,135,158,163,146,131,119,111,94,77,65,60,47,84,158,155,157,157,158,159,101,107,115,109,159,180,160,150,135,132,147,149,140,130,112,106,89,71,62,51,72,152,156,157,157,158,158,159,101,108,115,111,148,171,146,142,132,132,138,146,144,132,114,105,87,67,51,53,139,159,155,157,157,159,159,160,102,108,115,112,139,155,146,139,141,142,129,135,137,123,108,98,79,56,39,115,159,154,156,157,158,158,159,160,103,109,115,113,136,161,155,148,151,144,127,127,134,120,100,89,71,39,73,155,154,156,157,158,159,159,160,160
6,98,101,104,106,108,112,114,115,118,121,122,123,125,124,125,128,128,128,128,127,128,129,130,131,131,131,130,130,101,103,104,106,108,112,115,117,120,121,121,122,125,124,127,129,128,129,130,129,129,130,130,129,130,131,131,130,102,102,104,107,110,113,115,116,118,119,122,123,126,126,126,127,128,126,128,130,127,129,129,129,130,131,131,130,102,103,105,109,112,114,115,119,120,121,123,125,127,129,129,128,130,131,131,130,129,129,131,130,131,135,132,130,104,105,108,112,114,115,117,121,122,123,126,127,128,126,123,112,95,99,112,105,103,98,79,112,121,114,133,132,105,107,109,114,115,117,120,121,123,123,125,128,129,127,123,104,72,77,94,96,88,82,66,79,102,69,132,133,106,106,108,113,116,118,121,121,122,124,133,139,135,129,111,86,71,56,53,58,51,52,51,48,51,89,139,133,107,110,111,113,116,119,123,127,127,133,129,119,106,86,61,40,38,52,56,62,79,89,97,106,118,138,135,135,108,111,113,116,115,122,133,120,107,103,102,95,93,85,71,48,61,100,118,143,143,146,146,143,140,137,137,136,111,113,114,117,115,148,144,100,78,79,84,91,100,102,98,91,82,74,56,127,143,139,140,139,139,140,139,138,112,113,115,118,117,163,131,96,95,86,81,73,74,79,79,73,64,62,27,108,150,140,143,142,142,142,141,141,112,113,118,121,120,163,124,114,126,100,83,85,82,90,93,84,65,53,40,127,149,144,144,144,143,144,143,143,114,113,118,120,127,163,146,158,140,101,77,78,79,83,84,80,76,70,50,91,157,144,145,145,146,146,144,143,114,114,120,119,135,164,160,156,137,119,107,84,63,48,60,65,60,54,45,23,110,154,146,147,146,147,147,146,115,116,122,118,144,164,157,150,150,147,129,96,75,70,82,78,58,44,44,8,51,160,147,148,147,148,148,147,116,118,122,118,154,167,161,159,160,144,128,108,85,75,81,75,66,54,58,19,82,159,147,148,148,150,150,149,116,118,121,121,160,166,160,161,157,144,129,101,85,83,79,77,70,64,48,71,149,150,150,149,149,151,151,149,117,119,120,125,166,161,159,158,156,139,110,96,87,85,70,65,68,64,42,129,157,148,150,150,149,151,151,150,119,121,122,129,170,160,158,156,149,111,100,101,89,66,54,11,39,50,56,151,150,151,152,153,153,153,152,150,119,122,120,136,164,155,155,153,133,98,92,100,86,44,8,0,20,35,108,158,148,151,152,154,154,153,152,150,120,122,118,144,158,150,152,141,112,88,99,95,68,49,12,20,63,107,154,153,154,154,154,154,153,153,153,151,121,124,120,151,154,143,145,128,105,90,106,92,65,46,20,48,159,157,152,154,155,154,155,154,154,154,155,153,121,126,122,152,148,146,137,119,100,106,114,86,64,45,20,80,166,151,155,155,156,156,156,155,154,155,155,153,122,125,119,146,148,136,120,115,98,112,105,76,57,40,30,133,161,156,156,157,157,157,155,156,156,157,155,154,122,125,120,138,139,131,118,102,98,113,91,68,53,28,86,163,153,158,157,158,158,157,158,157,157,155,154,154,123,125,115,145,145,128,119,94,103,106,83,66,39,59,157,158,157,159,159,158,159,158,158,157,157,156,156,155,123,119,117,151,139,124,112,96,103,94,71,57,30,119,167,158,161,161,161,159,157,160,160,157,157,157,157,156,125,116,121,142,129,107,98,99,93,82,61,46,35,140,161,159,161,161,162,161,160,162,160,160,157,157,157,157
4,189,189,189,190,191,192,191,190,192,191,191,193,193,193,193,193,193,193,193,192,194,192,190,190,191,189,189,188,191,191,191,192,192,193,193,193,193,194,193,194,193,193,194,193,194,194,194,194,193,193,193,193,192,192,190,189,192,193,193,193,193,194,194,194,194,194,193,193,193,193,195,195,195,195,196,196,195,194,194,193,193,193,192,190,193,195,195,194,195,195,194,195,195,195,195,196,197,184,174,187,193,177,172,190,197,196,195,195,194,194,194,192,194,195,196,195,196,196,196,195,195,196,189,195,218,200,163,155,200,176,142,140,186,183,191,197,196,196,195,194,195,195,196,197,196,197,199,198,198,209,202,180,182,222,183,143,206,196,151,110,162,144,135,188,199,196,196,195,196,196,196,197,199,199,199,198,204,219,218,187,147,205,192,134,199,203,156,138,189,156,102,135,200,197,197,197,197,199,199,199,200,200,201,199,211,202,212,188,139,181,191,121,178,201,146,144,197,160,106,113,199,200,199,198,198,200,200,201,201,201,201,204,217,180,198,189,128,161,195,137,149,181,132,155,207,177,111,124,203,201,201,199,198,199,200,201,202,202,200,212,203,152,161,190,135,141,195,179,169,170,174,198,214,180,125,138,205,202,202,200,199,200,200,201,203,202,204,216,204,174,151,167,128,111,144,174,177,181,194,199,195,168,144,118,194,204,203,202,200,200,200,201,203,203,213,213,195,174,147,126,97,96,114,116,148,158,167,177,167,155,161,109,162,208,204,203,200,201,201,202,203,204,215,203,174,148,135,116,95,102,118,95,125,131,133,141,139,169,171,123,124,205,204,204,200,201,202,203,204,204,219,206,173,137,114,105,100,113,120,121,151,150,126,105,156,202,186,147,104,181,207,204,200,202,202,203,204,206,226,219,187,147,113,95,100,120,118,152,174,169,146,158,176,205,201,172,114,138,210,205,200,201,202,203,204,208,226,224,195,152,112,99,101,123,139,177,172,181,189,203,205,197,203,169,119,110,204,207,199,200,202,202,202,209,228,226,204,153,115,112,106,115,147,171,181,201,208,204,203,188,174,150,120,101,193,207,199,200,202,202,202,210,228,224,209,157,126,133,121,131,160,178,199,207,205,198,190,176,148,127,110,116,198,207,200,201,201,202,203,212,225,221,200,165,154,142,131,170,194,206,214,209,200,187,174,156,131,106,102,171,207,207,200,201,201,202,203,211,225,221,206,183,169,149,134,188,211,215,218,207,190,175,161,140,115,94,146,205,208,208,201,202,202,203,203,206,225,221,216,196,173,165,143,181,213,215,213,196,174,162,149,126,101,118,197,209,210,208,202,202,202,203,204,198,219,222,222,204,183,170,155,179,212,210,201,184,163,149,132,111,98,174,211,210,209,208,203,203,204,204,205,197,211,219,212,196,184,170,161,176,201,198,186,171,150,136,118,96,132,207,211,211,210,209,176,179,183,184,187,183,205,220,203,187,185,175,164,173,186,184,170,153,137,127,108,100,186,214,214,213,212,211,110,112,112,113,116,114,188,218,200,192,192,182,167,172,181,179,164,139,124,116,96,117,172,177,180,182,182,182,102,101,100,101,102,96,180,220,203,198,194,184,168,173,184,182,160,124,112,102,94,100,106,106,105,110,136,150,103,102,104,104,105,98,180,224,205,200,198,192,170,169,183,177,144,111,101,92,99,103,102,108,142,168,198,215,102,102,104,105,106,98,178,227,207,201,205,204,173,159,178,165,126,103,94,95,113,118,141,179,219,209,178,196
15,92,91,92,94,95,96,99,111,122,132,140,149,156,160,161,164,169,173,178,182,186,189,190,192,195,197,198,201,91,91,93,94,94,96,100,111,121,132,141,150,156,160,161,165,169,174,179,183,186,190,191,194,197,199,200,203,91,92,92,94,95,96,100,112,123,134,142,151,158,161,161,164,169,175,180,183,188,190,192,196,198,201,203,205,91,92,92,94,97,96,101,112,124,134,144,151,158,162,162,164,171,178,181,184,189,191,194,197,199,202,203,205,91,91,95,92,93,95,101,114,126,135,144,153,158,162,163,166,171,177,181,185,189,191,195,198,200,203,204,205,93,93,88,106,122,104,104,114,127,137,145,154,161,163,164,168,172,178,183,186,190,193,195,198,201,203,204,206,93,91,90,190,163,138,136,129,125,129,144,151,150,151,158,169,177,181,185,188,189,193,196,199,203,204,205,207,92,90,99,178,144,129,129,126,114,131,131,134,126,127,129,136,148,165,180,191,196,197,197,199,202,204,205,208,92,94,90,115,115,99,105,94,98,124,113,116,111,133,135,129,129,132,141,148,157,179,204,200,202,204,207,209,93,91,93,92,93,93,96,90,95,100,97,93,99,132,129,127,130,133,142,129,113,107,151,212,201,205,208,210,91,92,92,95,95,96,103,117,125,126,129,125,116,118,113,110,105,137,152,140,125,123,89,157,215,203,209,211,91,92,92,93,94,95,102,117,128,142,150,158,163,144,108,103,139,157,155,147,121,140,117,83,178,216,207,211,92,92,93,93,95,95,104,117,129,136,152,171,159,141,120,151,191,141,157,128,158,147,132,109,90,201,214,211,91,91,92,93,95,93,104,119,123,157,197,164,128,121,107,118,175,119,113,166,172,139,167,136,86,113,222,212,90,90,90,90,93,92,103,119,117,193,197,124,113,123,121,98,120,82,113,209,131,139,174,150,113,68,160,226,90,90,89,90,91,92,102,119,117,179,166,110,122,140,145,137,113,85,127,161,96,135,173,158,122,86,83,177,89,89,88,89,91,92,104,119,118,174,155,91,133,146,157,144,108,105,112,115,122,141,148,140,115,88,79,87,88,87,88,90,91,91,102,119,118,175,206,126,122,148,155,135,98,100,111,116,128,134,120,97,94,85,81,83,87,87,87,89,89,90,101,118,120,175,174,200,156,115,105,98,94,107,109,113,120,135,118,85,83,83,83,88,86,87,86,88,88,90,100,116,120,214,175,180,183,139,99,55,63,94,114,118,128,139,114,86,84,84,86,89,83,84,84,86,86,88,100,114,123,158,172,187,174,164,134,79,34,44,73,128,125,120,98,86,88,90,88,87,86,85,83,83,83,86,98,112,124,131,143,157,149,152,133,123,63,52,70,125,139,117,101,99,102,100,93,88,141,136,132,128,130,132,132,135,137,141,145,147,129,124,150,179,102,54,85,85,133,145,132,118,107,100,91,89,119,118,118,120,123,121,120,119,112,111,114,118,122,117,127,194,107,95,101,85,98,111,112,105,96,90,87,84,123,122,122,123,122,122,123,125,119,119,123,123,124,125,119,133,113,128,128,122,121,106,92,89,87,83,80,80,128,125,124,126,126,125,125,127,127,126,129,127,127,129,130,124,129,126,129,130,146,139,115,97,90,84,79,81,130,129,127,126,128,127,128,128,128,128,128,129,128,127,128,128,129,129,127,126,141,148,137,108,102,113,102,85,129,128,126,126,128,130,129,130,129,130,131,129,128,129,128,128,129,129,128,130,118,148,184,130,139,145,127,108
4,176,178,179,180,180,181,183,183,182,182,184,184,184,185,185,184,185,184,184,185,184,184,184,183,184,184,183,182,178,180,180,181,182,183,184,184,185,185,184,185,186,186,187,186,186,189,186,186,186,186,186,186,185,186,186,185,181,181,182,183,184,185,186,186,186,186,186,185,184,187,191,178,157,164,190,189,190,187,188,188,188,188,188,188,182,182,183,185,186,187,187,188,187,186,190,171,156,167,214,188,154,110,179,191,190,192,189,190,189,188,189,190,184,184,186,187,188,189,188,189,189,192,217,189,176,144,208,199,164,124,132,164,155,166,195,192,192,190,191,192,186,187,187,189,191,190,189,188,179,184,214,215,175,148,172,209,165,132,84,157,150,113,170,196,194,194,194,193,188,189,188,192,193,191,191,199,193,181,153,201,192,157,143,213,171,131,77,161,159,118,107,199,196,197,196,196,188,190,191,192,194,191,198,214,205,190,123,124,197,149,119,210,177,127,71,161,165,122,86,191,198,198,197,198,190,192,193,193,194,193,201,195,186,175,112,95,167,143,115,168,151,106,71,166,162,116,81,190,202,200,199,199,192,194,195,196,196,195,201,196,168,174,108,78,166,152,129,131,110,76,67,162,144,92,92,199,202,200,200,200,193,194,196,197,198,195,199,202,156,168,122,83,150,165,162,146,144,116,78,125,114,82,96,206,201,203,202,201,193,194,197,197,200,199,200,215,192,157,133,90,103,175,191,190,178,157,110,82,92,80,113,210,203,204,203,203,196,196,199,199,201,201,202,216,195,160,115,75,70,141,181,191,189,158,112,72,74,74,134,213,205,203,203,205,196,197,200,202,202,199,204,214,177,137,115,94,74,66,124,172,177,151,117,86,72,72,149,214,206,205,205,205,198,200,201,202,200,199,207,206,171,138,113,94,78,76,83,110,158,157,136,99,77,66,154,212,206,207,206,205,199,200,202,202,202,201,209,215,186,150,123,107,93,87,106,96,158,183,156,117,88,65,163,213,208,208,208,206,200,200,202,203,203,202,211,213,185,139,113,106,95,84,118,157,197,202,181,141,102,70,152,216,209,208,208,208,200,202,202,203,204,204,213,212,177,144,120,106,112,100,144,199,217,207,197,155,114,86,110,218,209,210,210,210,202,202,203,204,206,206,213,208,180,145,127,118,137,112,174,217,223,203,181,145,116,92,112,218,211,211,211,211,202,202,203,205,206,207,214,206,182,150,137,138,138,129,196,220,216,198,172,132,110,84,139,220,214,213,211,211,203,204,205,206,206,206,209,204,180,156,147,143,133,137,202,219,201,176,159,118,97,78,171,217,213,213,211,211,204,205,206,206,207,208,207,201,176,153,137,155,131,139,203,214,186,157,141,107,89,85,200,216,213,213,210,211,203,205,208,207,209,209,205,197,179,154,157,173,129,138,209,204,173,143,123,97,86,110,218,215,215,215,214,214,204,207,207,207,210,211,207,192,180,164,155,173,138,138,208,181,157,130,108,91,80,153,222,216,216,215,215,215,204,205,206,206,209,210,208,198,186,168,154,166,141,143,195,165,143,114,99,90,82,192,220,217,217,216,215,216,203,203,204,205,207,207,202,212,196,170,152,147,132,127,183,155,125,107,93,87,99,211,217,216,216,216,216,216,203,204,204,205,207,200,204,218,196,167,148,130,113,118,161,133,106,100,91,80,148,219,216,216,216,216,216,216,204,205,206,207,208,196,215,210,194,178,153,119,115,131,155,104,106,93,87,101,202,217,216,216,215,215,215,215
12,172,176,180,183,186,188,190,192,193,193,194,194,194,193,194,193,193,194,194,192,191,190,189,188,188,187,185,182,174,177,182,185,187,189,192,194,195,195,195,196,196,195,195,199,197,194,195,192,193,193,192,191,190,188,187,186,175,178,182,186,188,191,194,195,196,198,196,195,197,201,195,179,190,200,196,200,196,195,195,195,193,192,189,188,176,179,183,187,190,193,195,195,197,197,204,189,157,183,213,174,135,181,192,169,194,198,197,196,194,193,191,191,177,180,184,187,191,194,195,197,200,196,225,224,191,146,172,225,174,118,149,150,135,200,199,198,196,195,195,193,179,183,186,189,193,196,198,200,198,211,224,224,217,166,103,188,195,120,86,157,117,149,208,197,198,197,195,194,181,185,188,192,195,197,200,202,195,233,197,196,220,155,96,161,180,120,78,124,126,94,202,200,198,199,197,196,182,186,190,193,197,201,201,199,205,175,140,204,200,138,87,170,167,109,86,129,114,95,204,201,200,199,198,198,185,188,192,194,199,200,203,227,216,143,96,148,182,155,79,155,196,128,87,152,117,111,212,201,203,202,200,198,187,190,194,197,198,207,233,229,217,162,100,95,188,158,65,160,214,124,98,196,120,143,214,201,203,202,201,200,188,192,198,199,204,235,204,190,225,174,102,55,150,142,41,101,201,109,87,180,127,189,209,204,204,203,201,200,192,195,201,200,223,233,199,167,206,163,103,55,68,78,58,97,123,127,135,147,95,181,215,205,205,205,202,201,194,198,201,205,223,200,171,127,179,163,106,60,64,67,151,215,174,171,151,134,110,125,218,206,207,206,205,202,196,200,204,203,227,204,175,117,148,164,102,65,73,123,190,205,196,170,134,107,123,100,199,212,208,207,206,203,199,202,207,202,229,210,182,139,123,159,132,76,99,177,203,197,191,170,132,108,102,97,206,212,208,208,207,204,201,205,208,211,234,214,191,162,116,136,153,84,169,212,208,200,197,152,125,109,72,136,224,211,210,207,205,205,204,209,208,220,238,221,199,168,138,119,121,142,213,212,216,212,180,134,120,98,74,201,217,212,214,216,218,211,206,210,211,225,235,226,208,174,161,145,131,182,199,208,218,202,156,127,119,74,122,232,223,223,205,180,142,100,208,212,213,221,228,230,213,183,175,161,141,182,182,215,215,182,144,122,108,74,199,208,164,121,80,60,54,47,210,214,217,214,229,232,215,191,188,171,146,190,185,211,205,161,133,113,92,92,125,71,52,43,45,46,50,59,213,215,221,215,223,224,211,196,189,173,156,181,204,188,177,142,120,104,82,51,41,41,47,43,48,42,39,54,216,219,224,220,216,224,212,199,185,172,163,169,193,175,150,131,110,98,57,30,41,51,38,37,46,49,33,41,216,220,224,220,211,229,213,198,183,171,155,157,179,164,138,121,104,82,57,26,30,52,45,28,36,50,43,31,218,221,226,220,215,227,204,186,177,169,149,157,172,155,120,110,92,57,64,38,18,36,52,35,26,40,48,35,222,225,230,221,216,226,189,170,174,164,148,161,161,139,108,95,55,28,53,55,17,20,43,47,26,27,43,43,223,226,230,221,214,236,191,180,188,175,160,162,150,124,104,75,48,19,37,57,31,9,28,45,41,21,32,45,225,227,236,206,201,238,200,201,206,177,157,156,141,117,98,53,47,26,24,44,44,9,14,35,47,32,24,40,226,226,244,168,163,241,214,222,209,166,158,159,137,114,87,51,38,36,14,31,49,18,5,25,44,42,26,28
17,134,135,136,139,143,145,145,149,150,149,151,152,154,155,157,158,158,158,159,160,161,161,160,161,159,160,161,160,135,136,138,142,144,145,146,149,150,151,153,154,155,157,157,159,159,159,160,160,161,161,163,163,163,164,164,163,136,138,141,144,146,147,148,150,152,152,154,155,156,158,159,159,160,162,161,161,163,163,163,164,164,165,165,165,138,139,143,144,146,148,150,151,152,154,155,156,158,159,161,161,162,164,164,164,166,164,164,166,165,166,166,166,137,140,143,145,147,149,151,152,154,155,157,158,159,161,161,163,164,164,161,168,165,165,167,166,166,167,167,166,138,140,143,145,149,151,151,153,155,155,158,160,160,160,163,164,163,168,144,120,122,115,171,167,167,168,168,168,139,141,144,146,148,151,153,154,156,158,159,160,160,162,164,165,163,175,170,102,70,92,171,168,169,169,168,169,141,142,145,148,150,151,153,155,158,161,162,162,164,165,164,166,165,175,179,124,62,100,179,168,170,169,168,169,142,143,145,149,150,152,154,157,159,160,161,163,164,161,169,167,167,171,186,145,74,121,182,169,171,170,169,171,142,144,147,150,151,153,157,157,158,160,161,160,167,147,128,172,168,172,186,144,90,152,177,173,172,171,170,171,141,145,148,150,152,155,157,157,159,160,162,165,173,158,109,118,171,186,182,137,94,162,176,174,173,172,172,171,142,145,148,151,153,155,158,158,159,165,153,131,167,175,160,139,115,148,173,139,92,161,178,174,174,174,172,172,143,146,149,152,154,157,159,158,163,190,152,100,145,173,189,175,122,76,134,131,94,161,180,175,174,173,174,174,143,147,151,153,155,158,161,157,174,159,164,134,133,118,158,191,155,87,91,114,87,158,179,175,174,174,175,175,144,148,152,154,155,157,160,157,183,149,117,122,89,54,98,207,174,111,73,90,77,158,181,176,176,175,175,175,146,148,150,153,156,158,161,162,180,137,103,121,96,82,97,203,189,135,75,80,71,154,182,176,177,176,175,176,145,148,151,154,157,160,160,169,185,157,140,128,106,130,115,191,194,146,89,75,72,148,184,176,178,177,176,177,146,149,152,156,157,160,158,179,176,137,130,123,119,140,166,191,174,154,100,70,69,150,184,176,179,179,178,177,147,150,152,155,159,162,160,188,163,134,123,124,133,154,215,189,154,142,98,65,61,152,186,178,179,179,179,179,149,150,152,155,159,162,160,195,166,142,127,127,136,196,206,185,151,130,92,64,62,163,184,180,179,179,179,179,148,151,153,156,158,160,165,198,169,153,128,127,163,212,191,178,142,123,86,61,81,184,179,180,179,179,179,179,147,150,154,158,160,158,172,200,170,161,143,129,184,209,186,176,134,111,84,55,122,190,178,180,179,179,178,178,148,150,154,158,163,160,177,206,173,170,160,138,188,196,178,170,137,98,76,64,166,183,179,181,181,181,180,180,148,152,156,159,162,160,174,210,181,175,168,149,173,189,175,163,130,95,63,104,191,179,180,181,182,182,180,180,148,151,156,160,163,162,168,207,190,171,160,158,162,178,169,172,127,89,60,138,190,178,179,181,181,180,180,181,149,152,156,160,162,165,165,202,185,170,154,156,165,166,167,173,127,87,64,158,188,181,182,183,182,181,182,182,149,152,155,158,162,163,168,200,182,171,155,155,166,164,167,163,118,84,86,183,183,183,183,183,183,182,182,182,149,150,153,158,162,162,172,203,193,172,161,164,172,157,163,149,106,72,132,192,181,183,182,183,183,183,183,182
13,213,214,215,215,215,216,216,216,216,215,216,218,219,218,219,220,217,217,218,218,216,217,217,216,216,213,212,214,214,215,216,216,216,217,218,217,216,218,220,218,216,216,213,213,224,223,221,219,216,216,219,218,217,215,213,214,216,216,217,216,218,218,217,216,217,219,217,219,234,238,213,168,161,201,198,219,220,219,221,220,218,218,216,215,216,217,218,217,218,218,217,217,219,218,217,245,255,255,238,178,120,90,130,136,223,220,219,219,218,218,216,217,217,217,217,217,217,218,220,219,217,219,219,205,209,242,245,192,131,73,108,78,180,230,217,221,219,219,219,219,216,216,217,218,219,219,218,220,221,179,203,202,173,199,233,209,147,80,125,134,155,235,219,222,221,221,220,220,216,217,220,220,220,221,215,241,242,167,170,205,210,219,210,216,182,81,125,124,143,235,222,222,223,222,220,220,218,218,219,221,221,219,218,255,244,199,167,128,179,212,203,165,119,68,58,130,207,227,224,223,223,223,222,222,216,219,219,220,218,233,181,157,219,230,202,122,50,149,207,172,141,115,84,110,237,224,225,224,223,223,224,222,216,218,218,210,236,245,160,97,127,244,218,164,50,39,111,150,184,200,167,92,151,241,222,225,224,222,223,220,216,217,215,237,250,216,151,125,74,210,234,169,114,38,38,66,215,230,211,164,89,187,235,221,222,222,222,220,218,215,229,251,206,201,168,154,68,145,246,183,160,69,50,42,151,248,229,186,128,98,221,224,221,223,222,221,218,220,239,208,159,192,186,163,97,54,218,221,186,122,35,82,173,232,232,186,156,96,170,236,221,223,223,223,217,225,246,222,174,175,203,160,146,67,80,236,206,171,98,125,250,223,208,174,156,99,164,239,223,225,225,224,216,226,238,218,193,156,179,190,185,135,27,110,224,210,194,149,234,215,186,142,120,83,186,236,224,224,224,224,219,224,241,237,214,185,146,173,195,166,138,41,177,211,193,213,221,197,174,135,92,80,215,229,225,225,224,223,208,209,243,250,233,203,183,166,171,170,190,108,211,238,229,233,212,187,161,127,84,110,238,231,231,230,228,226,114,109,229,254,241,217,195,191,192,168,133,161,238,251,251,221,204,184,151,114,80,133,214,207,212,211,215,216,94,70,188,255,243,228,209,195,202,202,164,156,222,250,244,222,187,166,142,102,88,94,101,106,105,106,106,107,100,86,133,251,237,236,229,212,203,200,187,142,177,243,232,213,184,147,121,96,86,96,88,79,80,94,131,165,98,98,92,215,228,229,232,228,212,199,184,163,143,215,217,195,171,136,109,92,81,98,121,147,184,213,228,218,97,102,87,140,234,220,232,237,218,201,180,164,146,171,200,175,144,126,107,82,89,177,225,234,229,220,225,216,97,97,100,85,186,231,227,227,207,191,174,157,144,144,167,166,146,122,101,65,160,255,235,218,209,191,193,205,98,98,100,90,104,227,222,203,187,176,166,153,128,121,148,171,155,110,85,71,229,245,227,211,180,155,150,170,97,97,95,99,81,190,235,190,166,168,162,149,126,105,152,186,141,97,64,132,255,234,234,212,154,119,145,158,98,98,94,101,85,147,239,199,185,185,167,144,126,105,158,183,113,90,59,212,254,228,249,226,160,100,126,158,97,100,94,100,87,127,242,213,202,203,177,152,140,106,155,168,107,77,86,251,227,220,249,249,185,108,103,147,99,100,94,99,87,125,232,223,217,209,180,165,152,100,146,161,108,63,123,255,223,216,237,255,209,121,89,120
10,76,83,94,98,102,106,109,110,113,116,118,119,121,122,123,125,127,128,129,130,131,131,133,133,134,135,136,137,77,84,95,100,103,107,109,111,114,117,118,120,121,123,125,126,123,124,132,131,132,134,134,134,136,137,138,139,78,87,97,101,103,108,110,112,116,118,119,121,122,125,125,133,123,93,131,132,134,135,136,137,138,140,140,141,81,88,97,101,105,108,112,114,116,118,120,122,124,126,125,141,131,82,122,136,135,136,137,139,140,140,141,142,81,90,98,102,105,109,112,115,117,119,120,123,125,126,125,142,135,87,113,138,135,138,139,140,141,141,142,142,81,91,99,102,105,110,114,116,117,119,121,121,124,130,127,136,140,99,104,141,135,138,139,141,141,142,142,143,83,92,100,102,107,111,114,116,117,119,121,125,130,108,125,139,149,113,92,141,138,139,140,142,143,142,143,144,84,94,101,104,108,112,114,117,119,120,121,127,138,87,94,143,147,123,86,135,140,140,141,142,143,145,145,145,85,95,102,105,109,113,114,119,123,124,125,137,126,92,70,138,139,120,83,130,143,142,142,141,143,144,144,144,87,96,102,105,108,114,125,103,95,92,100,131,136,110,71,120,137,111,80,121,145,142,143,143,145,145,146,146,87,97,102,105,108,117,118,86,65,61,59,77,138,124,73,94,128,99,80,112,147,142,145,145,145,147,147,147,88,99,102,107,111,115,111,92,70,60,79,66,114,135,85,89,110,85,80,101,149,142,145,146,146,148,148,147,89,98,103,107,111,115,120,120,118,102,79,59,105,141,98,79,85,73,80,91,149,143,146,146,147,148,148,147,90,98,102,107,111,116,119,116,144,138,79,54,126,143,108,66,61,72,82,84,146,145,146,147,148,148,148,148,90,99,102,107,111,114,117,116,145,132,85,45,139,145,113,74,55,74,84,73,137,148,147,148,149,148,148,148,91,100,103,107,113,112,133,133,142,140,85,39,153,145,112,79,57,70,82,66,126,151,147,148,149,150,150,150,92,100,104,108,113,110,145,144,136,135,75,82,158,136,109,75,56,64,77,57,118,153,146,148,149,150,150,151,93,100,104,109,112,113,129,144,132,127,96,155,146,129,114,77,60,64,67,59,135,149,147,148,150,150,150,151,95,100,104,109,113,117,120,127,110,128,139,168,145,125,110,82,63,65,57,80,153,145,148,148,150,151,151,152,95,100,105,109,113,117,120,129,109,143,165,162,143,121,104,83,65,62,51,113,153,145,148,148,150,151,152,151,95,100,104,108,113,118,119,145,133,120,162,157,140,119,102,84,66,56,58,140,148,148,148,149,151,152,151,151,95,100,105,109,112,116,119,154,144,114,157,155,140,118,101,85,69,50,84,153,145,147,149,150,150,151,152,152,96,101,104,109,112,116,122,160,150,135,162,150,140,120,102,87,68,48,121,151,145,149,150,151,151,151,152,152,95,101,104,109,113,115,125,165,154,143,156,151,147,123,102,88,61,63,147,146,147,149,150,151,151,152,151,152,97,101,106,111,114,116,124,164,149,148,152,149,153,128,100,87,55,91,153,145,148,148,149,151,152,152,152,153,97,100,105,110,113,116,124,158,142,144,151,150,152,130,101,83,52,121,150,145,149,149,150,150,152,152,153,153,97,101,106,111,114,116,123,142,142,153,153,148,149,126,98,73,71,147,146,146,148,150,150,151,151,152,153,154,96,100,106,111,113,117,119,147,154,158,152,143,144,121,96,63,97,151,144,147,148,149,150,151,152,152,152,154
18,199,199,199,200,200,201,202,202,202,201,202,202,201,201,200,199,200,201,201,201,200,199,197,196,194,194,192,190,199,200,201,202,201,201,202,203,203,203,202,202,202,200,201,201,201,202,201,201,200,198,198,198,196,194,194,194,202,202,203,203,203,204,203,203,202,202,203,202,203,203,203,202,203,204,201,204,200,198,198,199,197,195,195,194,203,203,203,204,205,206,205,204,203,202,204,204,204,203,202,204,203,210,196,192,204,200,199,199,197,197,196,195,204,204,206,206,205,206,207,207,205,204,205,205,202,205,206,205,203,230,198,159,189,204,202,200,201,200,198,196,206,207,208,207,207,208,207,208,207,208,208,205,221,222,191,200,231,240,219,172,175,200,198,202,200,199,198,198,207,207,208,207,207,209,209,210,206,209,207,222,248,225,187,169,214,231,236,222,223,211,166,166,201,198,198,201,208,209,209,208,209,209,211,208,213,235,200,217,248,217,193,160,212,211,236,236,235,220,168,121,183,204,200,201,209,210,210,211,211,210,206,214,248,241,197,170,241,213,185,167,226,199,200,229,239,215,161,113,152,208,200,201,209,208,210,211,209,211,207,245,255,241,203,170,241,220,183,166,229,212,167,232,250,218,152,109,139,212,202,203,211,211,211,211,213,208,227,253,252,245,208,166,237,227,185,170,235,208,176,249,253,216,147,103,154,214,202,203,213,215,214,214,213,213,253,235,240,252,216,169,230,223,183,158,213,190,174,252,249,206,141,100,184,212,204,205,214,215,214,215,213,237,252,228,227,234,209,162,196,207,178,130,156,149,198,255,234,190,134,118,211,207,207,206,215,215,215,212,223,255,235,200,205,198,165,128,157,180,143,90,170,208,236,247,221,179,123,162,217,207,208,207,217,217,219,214,227,255,239,201,181,178,142,105,175,177,117,184,248,246,230,216,206,167,123,199,215,209,208,208,217,219,220,213,238,255,238,213,171,162,144,97,191,164,204,255,248,239,212,189,188,147,121,209,213,213,211,209,217,218,221,217,249,255,240,220,196,166,155,143,137,202,255,251,248,232,197,170,164,122,152,223,211,214,212,212,219,221,220,223,255,254,245,227,209,180,167,167,195,255,253,252,242,215,178,156,148,103,179,223,214,214,214,212,221,221,219,227,255,255,249,236,223,193,188,208,246,255,251,248,234,198,163,146,121,128,214,217,216,215,215,214,221,222,219,227,255,255,253,243,232,212,203,226,251,251,244,236,224,185,152,138,104,188,226,216,217,216,216,215,220,221,219,225,255,254,255,248,234,217,211,221,250,245,233,231,197,175,140,115,127,222,219,218,216,217,217,214,221,221,221,224,255,254,254,245,230,216,214,217,239,231,218,219,185,155,126,96,180,226,217,219,216,218,217,217,221,222,221,223,254,255,250,237,222,209,210,216,228,214,207,205,181,134,107,116,219,219,218,219,220,217,217,225,220,223,220,225,255,239,227,225,211,200,203,208,226,208,197,188,157,116,84,173,230,219,220,219,218,217,218,177,225,225,224,234,255,238,230,227,215,214,204,208,232,196,174,157,126,82,118,224,221,221,219,220,224,228,168,105,174,167,154,196,246,240,237,230,230,235,202,205,226,175,147,128,88,86,212,225,221,221,225,221,197,159,116,104,128,127,120,124,131,132,136,139,147,165,152,169,178,145,122,101,66,180,234,229,229,229,194,141,115,101,95,87,147,116,116,119,112,107,100,93,82,77,77,80,81,74,70,68,62,92,114,141,190,189,106,107,111,105,96,86
4,120,126,132,135,138,143,145,147,150,152,154,157,159,161,163,164,165,165,167,170,170,171,172,173,173,173,173,174,121,127,133,136,139,141,145,148,150,152,153,157,159,163,163,163,166,168,169,168,172,172,174,174,174,174,174,175,123,128,133,137,141,144,146,149,150,153,155,159,158,163,166,167,163,156,165,171,169,174,175,175,176,175,175,175,124,130,134,138,142,145,148,150,152,154,152,163,172,157,150,185,164,119,98,147,136,129,173,177,176,177,177,178,124,131,135,139,142,146,150,149,153,171,150,141,163,159,112,151,155,112,66,104,124,90,124,182,177,178,178,179,124,130,135,138,143,148,151,148,175,197,175,144,109,113,101,124,152,101,62,128,125,88,80,181,180,180,181,181,125,132,137,139,144,148,149,150,196,165,177,135,98,69,78,133,165,100,107,146,108,66,64,175,181,180,182,181,128,132,137,140,144,148,147,163,185,140,171,108,77,71,73,110,144,141,159,139,112,57,78,181,181,181,182,183,127,133,138,141,146,149,146,179,180,146,162,110,70,89,105,112,141,157,140,147,135,104,99,188,183,183,185,184,125,133,139,143,145,150,149,193,170,150,144,119,55,111,163,146,143,137,120,167,152,138,114,171,185,184,186,187,127,134,139,143,146,150,159,189,148,123,111,88,47,69,130,125,120,95,104,173,170,160,129,112,181,187,187,187,127,134,140,143,148,146,178,188,151,125,105,77,55,48,60,74,78,91,130,156,172,163,143,105,127,191,187,188,128,135,140,145,150,149,199,183,154,136,112,89,69,57,61,72,117,175,171,159,154,137,135,121,88,169,191,189,129,136,140,145,148,157,208,183,165,140,109,89,74,70,109,161,188,191,170,154,138,115,115,113,86,156,194,190,131,136,141,145,146,175,214,188,164,133,112,105,82,112,174,192,192,189,166,146,127,104,94,96,94,181,191,190,131,137,143,146,147,191,215,187,157,135,128,114,108,162,180,185,188,178,158,136,116,97,87,81,143,194,190,190,131,136,142,147,146,198,213,181,162,155,144,125,147,172,180,183,178,166,146,124,107,91,80,101,186,190,192,193,132,138,142,149,147,201,212,188,175,165,149,140,165,175,183,178,162,150,131,113,100,86,77,162,195,190,194,195,133,138,144,147,147,194,213,196,183,167,148,138,159,173,173,165,149,137,120,103,92,75,118,195,192,191,195,195,133,139,144,148,147,182,210,194,182,166,143,129,149,161,160,152,136,126,110,94,82,86,178,196,193,192,194,195,134,140,145,149,151,171,205,184,166,155,138,136,148,159,158,145,125,114,99,85,75,157,196,194,195,195,195,195,135,140,146,150,152,167,196,167,158,150,143,149,142,149,149,136,119,105,91,72,132,194,194,194,195,196,196,196,135,140,144,152,152,165,192,166,166,159,165,161,138,136,141,127,108,98,77,103,188,192,194,195,195,197,196,197,136,141,146,151,153,176,192,176,171,166,162,152,132,121,131,118,100,90,75,168,193,194,196,196,197,197,197,197,137,142,146,148,181,195,173,164,174,171,154,139,125,112,118,108,96,74,113,195,193,194,195,196,197,197,197,198,137,141,144,162,200,192,191,133,139,167,145,129,120,104,104,101,92,66,133,197,193,194,196,196,197,197,198,199,137,143,147,193,192,190,193,187,117,118,129,126,110,89,98,93,86,66,141,198,193,195,196,198,198,198,199,199,138,139,173,199,185,191,193,190,186,107,94,114,101,87,94,88,82,64,146,197,195,195,196,198,199,199,200,200
24,140,144,147,152,154,156,159,161,163,163,164,165,165,166,166,167,166,167,168,168,167,168,167,167,166,165,164,163,143,147,152,155,157,159,163,165,165,166,167,167,168,169,169,171,171,171,171,171,171,172,171,171,169,167,167,166,145,149,153,158,162,164,166,167,169,170,170,170,172,173,172,173,172,173,172,172,172,173,174,173,172,171,170,169,147,151,157,161,165,168,169,170,172,172,172,173,174,174,176,176,176,176,175,176,175,176,177,176,174,174,173,171,152,159,158,164,168,170,171,173,174,174,176,177,178,178,179,178,179,180,180,180,179,179,180,179,176,176,175,173,131,118,169,166,170,172,174,176,175,177,178,179,180,179,180,180,181,182,181,182,182,182,182,181,180,177,177,178,120,58,168,170,172,174,177,180,179,179,182,183,184,182,183,183,186,186,184,185,186,185,183,186,187,185,186,180,119,48,160,173,175,178,179,182,186,188,185,176,171,191,185,187,187,187,187,188,187,188,188,181,165,129,132,190,103,32,163,177,177,180,186,181,152,150,187,148,104,122,194,188,187,188,189,189,189,189,180,144,115,50,110,196,91,30,162,181,173,130,135,187,134,88,152,161,130,79,154,198,188,189,190,190,191,189,179,138,59,89,195,188,110,40,147,186,190,147,116,178,154,128,126,176,156,113,104,201,190,192,192,193,191,186,171,100,59,192,192,188,123,62,133,187,199,194,148,134,185,158,107,145,176,124,77,184,196,193,195,195,189,183,146,45,114,206,190,191,150,131,145,178,176,202,183,109,143,183,127,95,170,110,44,175,207,197,192,180,181,159,74,55,192,196,193,192,174,170,158,175,158,146,191,98,62,187,151,64,86,73,22,145,175,169,157,144,148,91,40,175,206,196,195,195,166,181,173,170,168,147,143,92,33,118,117,44,0,43,77,132,162,166,144,112,89,36,140,213,197,198,198,197,170,188,173,171,167,142,127,102,63,37,58,17,0,91,171,186,181,161,124,87,49,89,215,199,200,200,200,198,173,185,173,133,145,138,120,110,87,68,71,68,131,171,185,182,163,141,99,53,40,188,209,202,203,201,201,200,176,181,183,157,121,125,156,136,128,105,97,159,194,188,182,170,149,117,72,23,127,217,203,206,205,204,203,202,178,179,195,196,156,122,127,148,172,171,174,202,194,187,174,153,125,87,32,93,218,204,207,206,205,204,204,204,176,179,186,200,175,143,122,136,156,192,201,196,195,187,161,128,93,47,50,200,211,207,207,206,207,206,205,204,177,184,180,193,200,164,137,138,162,195,202,204,202,176,135,98,65,25,149,217,204,207,206,206,206,205,204,201,177,184,184,198,213,198,160,156,166,203,216,206,189,147,105,70,33,72,215,206,208,208,206,206,205,205,204,208,178,182,185,186,202,215,184,166,170,198,210,194,159,115,77,48,21,168,217,208,211,211,209,209,206,209,200,193,181,182,189,176,170,197,184,171,171,176,179,171,137,90,53,17,74,218,205,209,210,210,207,209,213,196,187,108,172,178,183,188,166,169,175,169,162,143,139,149,125,75,40,14,155,226,216,217,216,217,215,215,189,178,209,168,78,85,86,94,93,143,175,158,142,121,123,137,110,76,43,26,135,168,170,174,178,187,192,183,189,168,165,98,66,66,65,65,58,96,163,121,115,116,135,150,108,85,63,30,53,66,64,66,68,70,77,167,209,159,153,100,70,74,81,80,77,74,137,115,126,142,147,152,113,80,75,35,64,84,84,83,78,78,126,128,186,197,68,137
24,135,141,147,151,156,159,163,166,169,172,176,179,181,182,184,186,186,187,187,187,188,189,189,189,190,189,189,188,137,143,149,154,158,161,164,168,172,175,178,180,183,185,187,187,187,188,189,189,190,191,192,193,192,192,191,191,139,145,151,155,160,164,166,169,174,177,180,182,185,187,188,189,190,191,192,192,193,193,195,195,194,193,194,194,140,147,153,144,160,166,169,172,175,179,182,185,187,189,191,192,192,194,195,195,195,195,196,196,195,195,196,196,142,150,155,108,138,167,170,174,178,181,183,186,188,191,193,194,194,195,196,197,197,196,197,197,197,197,197,197,144,150,148,104,96,169,172,176,180,182,186,188,189,193,195,196,196,196,197,199,200,197,199,200,200,200,200,200,145,152,156,113,77,158,173,177,182,185,187,190,191,195,197,197,198,199,200,201,201,200,201,201,201,202,201,201,146,153,159,128,79,131,176,179,180,182,189,189,178,186,195,181,186,199,201,202,203,202,201,202,202,202,200,199,149,156,161,146,97,95,174,176,145,135,175,183,148,114,153,159,127,175,203,203,203,203,203,203,202,193,171,139,149,156,161,165,119,82,144,164,154,142,139,191,160,115,137,162,123,110,204,205,204,204,205,203,194,171,133,115,151,156,162,167,139,103,108,152,184,166,135,184,169,130,151,166,116,87,194,207,207,207,205,197,179,140,115,190,151,158,163,167,163,129,106,102,182,176,139,161,173,134,147,168,115,77,175,208,208,207,200,193,158,108,163,207,153,159,165,169,172,144,116,119,146,184,151,137,180,139,130,176,132,74,160,208,207,198,197,183,131,102,201,210,154,161,166,171,174,161,167,144,129,160,146,103,164,128,108,179,146,75,122,204,187,182,188,154,102,165,210,211,155,162,167,171,174,182,180,130,103,116,134,85,135,121,101,202,169,69,72,132,154,172,158,111,136,209,212,213,154,161,167,172,176,181,170,136,112,108,125,104,117,128,96,132,113,74,110,144,152,146,119,105,198,213,214,214,155,161,166,171,175,179,192,170,131,114,111,122,100,155,123,111,162,167,171,158,129,113,91,159,212,212,214,213,155,162,167,170,175,179,195,187,158,137,114,104,112,152,173,196,196,186,171,149,113,95,107,202,212,212,214,213,155,161,167,171,176,179,195,195,182,150,118,100,134,178,203,201,192,175,159,133,102,93,177,211,213,215,215,215,156,162,167,171,177,180,196,201,192,155,119,116,156,188,204,199,183,163,139,117,92,145,210,214,215,215,216,216,154,161,167,172,176,180,189,198,199,164,141,144,153,188,198,195,175,153,127,102,101,201,214,214,215,216,216,216,148,155,161,166,171,176,180,190,194,171,148,154,139,172,185,182,164,146,115,92,158,213,214,214,214,215,217,216,104,108,109,112,116,121,127,158,186,172,150,145,122,141,165,155,142,124,101,106,180,189,193,196,198,201,205,206,96,96,98,100,99,100,101,113,188,174,142,131,109,133,159,142,120,103,89,98,107,109,112,114,115,118,120,122,97,98,102,102,103,103,104,104,180,163,134,121,118,135,155,132,105,88,88,105,107,108,108,109,108,110,116,126,97,97,99,100,100,102,103,103,183,160,144,136,135,136,143,120,92,80,94,107,109,108,109,117,136,169,178,169,98,99,102,101,102,103,103,108,194,176,164,155,142,130,135,108,86,77,100,109,109,110,109,135,194,190,205,181,100,100,102,102,102,103,104,112,188,177,173,159,132,119,127,99,85,74,100,109,109,110,113,184,215,191,178,204
21,171,174,175,176,176,176,176,178,178,178,179,180,177,168,177,178,178,178,177,176,175,174,173,172,165,89,23,12,175,176,177,178,179,179,179,180,181,180,180,183,189,138,167,181,180,180,180,178,178,177,176,176,149,76,31,20,177,179,179,181,182,182,182,182,183,183,183,186,192,128,153,185,183,183,183,173,157,180,179,179,147,58,34,34,180,181,182,183,184,185,185,185,185,186,186,189,195,128,139,188,187,186,189,173,118,177,181,181,154,72,44,50,182,183,184,186,187,187,187,188,188,188,188,191,201,135,131,190,189,188,195,168,110,178,184,183,176,93,46,49,184,185,186,188,188,189,190,190,189,190,190,192,209,149,131,191,192,190,198,162,114,179,187,186,183,126,50,41,185,187,188,190,191,191,192,192,192,192,193,194,214,160,131,189,194,194,203,161,120,182,188,187,188,162,60,33,187,189,191,192,193,193,193,194,194,194,194,194,216,169,133,183,197,196,210,166,125,186,191,190,189,184,87,44,189,192,192,193,194,195,195,195,195,195,197,196,221,184,141,172,199,200,211,166,125,189,193,192,190,190,140,135,191,192,194,195,195,195,196,197,197,197,198,197,219,197,145,166,201,206,215,163,124,192,195,194,192,190,149,179,192,194,195,197,197,198,199,199,199,199,201,192,196,199,143,163,203,212,209,154,130,197,197,196,194,191,166,186,193,194,195,197,198,199,200,200,201,201,216,196,168,173,151,146,200,213,194,144,141,200,198,198,197,195,184,150,194,195,197,198,199,200,200,200,201,202,223,218,189,149,167,112,167,201,182,134,156,204,200,199,199,198,189,144,195,196,197,199,200,200,201,201,202,204,206,221,212,175,175,116,109,154,154,121,172,204,202,200,199,199,195,175,196,197,198,200,201,201,202,202,202,203,185,180,216,183,170,153,120,108,117,102,177,205,202,201,200,200,200,194,196,197,199,201,201,201,203,204,204,203,206,180,192,183,148,175,159,112,91,91,173,207,204,202,202,201,200,198,196,197,198,199,201,201,203,203,207,210,221,184,136,163,136,156,168,128,87,85,172,208,205,203,202,202,200,199,196,198,198,198,200,201,202,203,218,220,206,153,104,115,150,132,161,151,105,82,175,206,204,202,202,201,200,199,196,198,199,199,200,201,202,207,222,196,173,158,116,79,119,104,147,180,129,91,182,207,204,203,202,201,200,199,197,199,200,200,201,202,204,207,218,191,164,166,127,85,74,124,168,199,158,105,156,206,205,204,202,201,200,200,197,199,200,201,201,203,204,206,216,200,177,164,151,107,99,192,194,198,173,126,121,204,206,204,203,201,201,201,197,200,201,202,202,203,205,207,218,214,181,135,152,126,149,220,207,190,164,131,130,205,207,206,204,202,201,201,145,148,152,156,159,163,166,172,216,217,180,131,152,146,194,226,201,180,147,110,138,203,203,203,203,201,199,199,99,99,101,101,101,101,102,109,204,219,178,148,163,160,220,222,196,171,140,103,110,131,132,134,141,153,176,194,102,103,102,102,101,102,103,104,188,217,184,172,178,167,227,221,191,162,127,101,101,107,122,148,172,192,206,216,102,103,102,102,103,103,104,101,158,216,202,195,187,158,211,209,174,146,111,103,164,182,190,202,207,205,208,219,102,102,101,102,103,103,103,103,122,204,210,199,183,152,182,191,151,119,97,112,201,206,188,181,192,201,201,208,101,101,101,102,104,103,103,104,106,189,204,184,163,140,147,167,131,102,92,123,168,183,196,166,163,181,196,205
15,195,186,164,172,134,127,182,62,62,105,102,105,109,113,116,129,144,156,167,170,175,182,187,191,195,198,201,204,203,187,166,178,128,144,181,51,72,106,103,106,111,114,119,132,146,160,169,172,177,186,190,195,198,201,205,208,209,184,169,182,119,160,174,42,82,107,104,106,111,114,120,136,149,162,171,175,180,187,193,198,201,205,207,211,213,187,175,184,114,178,161,38,91,107,105,107,111,114,121,138,153,164,173,177,184,190,196,200,204,208,211,213,214,187,182,183,115,194,146,38,99,107,106,110,115,115,123,140,155,168,176,179,185,193,200,203,207,211,214,216,213,186,187,177,116,204,128,38,104,105,105,108,109,112,125,143,157,171,177,180,187,195,202,207,211,214,218,220,214,186,191,169,122,214,111,48,113,110,116,123,132,129,125,145,160,175,184,185,193,204,211,212,213,217,222,224,211,191,200,169,151,175,149,143,141,140,151,153,148,137,128,130,138,149,164,174,181,183,188,211,228,223,223,229,204,197,193,154,151,152,146,143,129,133,133,127,124,127,140,136,135,136,136,142,154,148,136,136,167,223,238,232,205,194,169,140,139,134,132,127,125,129,129,129,128,136,146,147,140,136,132,139,156,154,146,130,107,123,194,243,205,193,198,137,144,140,113,118,120,128,130,129,130,143,147,143,139,132,134,149,146,145,146,137,127,112,104,147,202,195,206,125,192,189,48,95,114,109,112,114,119,131,145,151,146,134,143,146,148,145,147,135,131,132,123,103,201,204,204,121,206,172,36,98,112,107,109,112,113,118,137,172,202,169,154,148,145,146,141,142,131,143,139,120,202,207,199,122,219,156,36,105,112,108,109,113,115,121,139,202,197,171,143,146,135,126,130,141,131,154,152,132,207,209,192,128,227,138,37,110,110,107,110,114,117,114,172,210,167,154,102,105,111,87,111,158,144,165,154,136,210,213,182,134,230,120,42,115,109,107,110,113,113,129,212,182,154,138,102,69,72,50,117,189,172,167,139,132,213,216,172,145,234,103,48,118,109,109,110,114,106,188,226,165,143,122,87,66,62,47,142,197,189,170,133,124,212,220,161,156,234,87,56,120,109,108,110,114,108,199,218,179,143,112,66,60,57,64,160,197,205,180,138,120,216,227,152,171,229,72,64,121,108,109,111,115,108,154,225,204,164,121,68,57,93,91,136,195,205,175,138,123,219,231,143,188,229,61,74,121,108,107,110,113,115,124,214,228,190,133,77,50,94,122,149,193,178,152,137,114,220,232,137,204,222,51,83,120,108,107,108,112,115,122,180,246,205,159,127,110,117,172,182,166,139,126,129,111,224,229,132,220,209,43,89,118,106,105,106,109,110,128,153,229,227,210,199,192,199,185,143,125,117,115,115,110,227,224,132,232,193,37,97,114,105,105,105,108,110,128,151,220,207,173,165,176,192,171,121,108,112,100,115,122,229,215,134,244,175,36,105,113,104,103,103,107,112,122,195,219,163,160,159,170,195,170,116,103,101,137,108,99,231,205,142,253,156,29,106,107,100,99,101,106,111,122,214,195,161,153,153,158,179,169,126,100,202,241,100,87,234,195,148,255,143,56,119,113,103,101,100,101,106,122,185,183,159,157,144,134,151,153,121,103,245,251,109,93,237,186,163,240,192,159,157,160,155,151,147,148,150,152,159,169,174,201,203,135,110,182,141,136,226,234,115,99,238,176,175,237,200,138,135,143,143,143,144,149,150,149,142,144,148,150,213,192,121,150,152,147,158,156,113,103
1,167,169,170,170,170,170,170,171,171,171,171,171,171,170,170,171,161,145,164,163,163,162,159,158,158,156,154,152,172,172,173,173,174,174,175,174,175,174,173,174,174,175,164,162,171,100,160,175,165,165,163,161,160,159,157,155,176,177,177,177,178,178,178,179,178,178,177,178,176,183,168,112,169,97,108,139,171,167,166,164,165,163,160,158,180,180,181,181,182,182,181,181,181,181,182,181,179,190,159,106,168,86,69,90,153,175,169,167,166,165,163,160,183,183,183,183,185,185,185,185,184,185,185,187,186,194,136,110,166,70,102,106,130,183,170,170,169,168,165,164,187,187,187,187,187,187,188,187,186,186,189,166,169,197,116,125,170,77,124,111,115,186,173,174,173,171,169,166,190,190,191,191,191,192,192,191,189,189,192,155,119,198,114,144,159,73,133,114,114,189,177,178,174,172,171,169,193,194,193,195,194,194,195,194,194,192,196,142,116,185,104,160,133,74,154,125,115,192,180,181,178,175,174,172,195,196,196,197,196,195,195,195,195,195,198,116,133,161,103,172,129,101,177,115,114,194,182,182,180,178,176,174,199,199,199,199,199,198,198,198,198,199,197,109,141,164,113,178,135,108,177,106,117,197,184,184,183,180,179,178,200,200,201,201,201,202,201,200,200,202,188,95,145,174,103,174,131,92,172,120,130,199,185,186,185,183,181,179,203,202,202,203,203,203,202,203,201,206,178,87,156,158,80,161,104,91,182,116,132,202,188,188,188,186,184,181,204,205,205,205,205,206,205,205,204,207,183,91,148,144,91,167,101,106,177,107,130,205,191,193,190,189,186,184,206,207,207,207,207,207,207,206,205,209,164,96,157,149,149,170,143,110,134,109,134,205,193,195,192,190,188,187,207,208,208,208,208,208,208,208,208,203,164,162,147,124,138,141,146,130,112,103,106,202,195,195,194,191,189,188,208,209,210,209,209,209,209,209,208,203,183,150,117,109,122,142,147,124,112,118,86,181,203,195,195,194,191,189,210,210,210,210,210,210,211,211,212,205,168,120,105,108,125,160,151,135,167,158,91,151,212,198,198,195,194,192,212,211,212,213,212,213,213,214,209,200,161,111,109,120,135,166,175,174,152,171,121,121,212,199,199,196,195,193,213,214,215,214,214,215,214,215,204,197,171,116,97,124,151,175,186,198,141,168,146,95,200,203,200,198,196,194,214,214,215,215,215,215,215,218,200,196,181,129,90,125,158,177,184,187,169,150,112,77,197,205,201,201,199,196,216,216,215,216,216,217,216,220,197,194,186,143,105,109,158,190,190,185,154,140,82,99,215,203,202,202,201,198,215,216,216,216,217,218,217,222,198,180,178,145,115,106,170,203,197,184,144,114,68,161,217,204,204,202,202,200,215,216,216,217,218,218,217,221,206,174,167,147,123,117,179,195,179,161,127,89,81,209,208,206,206,203,202,201,214,216,216,216,217,217,217,220,214,180,170,154,132,128,179,186,169,140,111,64,130,222,206,207,206,203,201,201,214,216,217,217,217,218,218,218,220,185,169,165,142,127,167,170,153,120,84,62,194,212,207,207,205,202,200,198,215,217,217,217,217,219,218,219,222,192,174,165,143,126,147,140,116,89,45,140,221,207,209,208,205,201,198,198,215,216,217,218,218,219,218,220,216,191,179,165,145,130,132,121,89,51,131,222,211,211,209,208,207,205,208,198,215,216,216,218,218,219,219,223,202,184,187,169,162,143,120,105,58,90,226,214,213,212,210,208,207,192,160,105
3,150,153,156,158,160,162,164,165,166,166,166,165,164,164,164,163,162,160,158,158,157,157,155,153,151,150,147,146,152,156,158,160,163,165,167,168,169,169,169,167,167,167,166,166,169,162,143,160,159,158,157,155,153,151,150,148,154,158,161,163,166,168,170,170,171,171,171,170,170,169,168,168,182,160,103,155,162,160,159,158,156,154,152,150,157,160,163,165,168,170,171,172,173,173,172,172,172,171,171,170,183,157,97,141,164,163,161,160,158,156,154,151,159,162,165,168,170,172,174,175,176,174,174,174,174,174,173,171,181,161,103,135,166,165,164,163,160,158,155,154,160,164,166,169,172,174,176,178,178,177,176,176,177,176,174,174,183,185,121,124,168,168,166,164,162,159,157,155,162,165,168,171,174,176,178,180,180,180,179,179,179,178,176,175,187,192,123,110,169,169,167,166,164,161,159,157,163,167,170,174,177,179,180,181,182,182,182,181,181,180,179,179,190,189,118,103,170,170,169,168,165,163,160,158,165,169,173,176,179,181,183,184,184,184,183,183,183,182,181,180,193,190,125,103,171,172,171,170,167,164,162,159,168,172,175,179,181,183,185,186,186,186,186,185,184,183,182,181,170,163,118,99,172,174,173,171,169,166,164,162,170,175,178,181,183,186,187,188,189,189,188,188,187,185,188,189,135,95,86,95,177,176,175,173,170,167,165,163,172,177,181,183,186,188,190,191,191,190,191,190,192,182,143,150,167,122,75,113,179,179,177,174,172,169,167,164,174,179,182,185,188,190,193,193,194,193,193,167,178,178,124,96,189,132,99,97,135,152,176,176,173,171,168,166,176,181,184,188,190,192,194,196,196,200,204,154,113,164,140,102,159,135,117,100,122,106,153,177,175,172,170,167,179,183,186,189,191,194,195,197,200,217,203,176,131,136,148,102,118,144,134,114,121,90,136,179,178,174,171,169,181,185,188,191,193,196,198,198,210,206,196,184,138,107,139,99,111,119,100,113,106,83,127,181,179,176,173,170,182,187,189,193,195,197,200,199,222,211,175,175,134,90,122,93,112,159,93,127,128,89,116,183,181,178,175,173,183,188,191,195,196,199,201,201,209,191,158,163,114,78,116,83,112,186,108,112,140,90,93,183,182,180,177,174,184,189,193,196,198,201,203,203,209,213,189,160,109,95,113,96,90,146,109,110,121,82,89,183,183,181,179,176,185,190,193,196,200,201,203,205,215,221,202,162,114,96,125,121,152,180,149,129,96,72,134,187,185,183,181,179,184,190,194,197,201,202,205,205,214,223,210,169,131,110,115,168,192,168,132,109,92,77,178,188,187,184,182,181,183,189,194,197,201,202,204,206,211,221,206,169,158,119,140,199,181,143,119,101,88,116,190,188,186,183,181,180,184,190,196,198,202,204,206,206,204,211,201,179,163,134,138,170,161,131,113,91,83,168,191,189,187,184,182,180,185,192,196,200,203,206,207,207,126,172,195,182,164,138,112,131,128,109,93,85,139,194,193,191,189,186,182,180,186,192,196,200,202,205,207,190,75,87,161,170,159,119,94,93,96,92,78,137,193,196,193,192,190,182,157,115,185,191,195,198,201,203,206,139,67,63,77,112,119,84,79,75,78,66,63,182,195,192,173,144,126,94,61,46,144,146,149,150,151,151,146,88,68,60,56,56,64,78,74,59,55,34,11,82,115,91,56,38,33,30,31,34,114,115,117,117,116,114,97,71,71,58,55,50,48,37,30,27,24,17,10,28,38,30,27,25,29,29,22,27
19,169,172,174,174,175,177,178,177,177,179,179,178,178,178,176,175,175,175,174,173,173,172,172,172,170,170,170,169,172,173,175,175,176,178,179,179,180,180,180,180,180,178,179,169,143,157,177,175,175,174,174,173,172,171,171,170,173,174,176,178,179,179,181,181,181,181,181,182,182,180,190,166,124,111,175,178,177,176,175,175,173,172,172,172,174,176,178,180,181,181,182,183,183,182,182,183,183,185,197,168,131,95,168,179,179,178,177,177,175,173,174,174,175,178,180,181,182,183,184,184,184,184,184,185,183,190,195,162,126,89,166,181,180,179,178,178,177,175,175,176,177,179,181,182,183,186,186,185,185,185,184,186,184,193,190,147,113,89,166,178,177,174,178,194,163,173,177,177,178,180,182,184,185,187,187,187,187,187,186,186,184,192,186,155,146,156,181,174,180,178,187,209,137,167,178,178,180,181,184,187,187,187,187,187,187,188,187,191,193,192,183,177,183,194,190,173,170,170,154,139,136,176,180,179,181,183,186,187,189,190,189,188,187,194,202,210,212,202,184,166,159,150,145,130,122,122,129,149,175,180,180,180,184,185,187,188,190,191,194,195,196,207,212,210,201,189,182,177,163,108,107,133,155,166,180,185,183,183,182,181,186,187,188,190,191,197,211,205,201,199,201,201,198,196,192,188,170,107,135,188,188,187,186,186,185,184,183,182,188,188,189,191,190,206,219,209,200,200,206,208,208,200,193,185,154,98,114,190,188,187,187,185,185,185,184,182,188,189,191,193,192,206,214,198,192,201,208,209,201,193,193,193,171,99,87,179,189,188,187,186,185,186,185,184,189,190,193,194,194,206,205,192,192,194,190,191,196,201,194,194,178,102,72,150,191,188,188,188,186,186,186,185,190,192,194,195,197,210,195,195,194,187,179,198,200,192,185,181,155,97,67,126,194,191,190,189,187,186,186,186,192,193,194,196,198,205,203,205,203,203,206,206,196,187,180,168,139,89,65,110,194,193,192,190,189,188,188,187,193,195,196,198,199,201,219,213,204,203,202,191,181,176,185,193,180,110,61,134,196,193,193,192,190,189,188,188,195,195,198,200,201,199,217,216,199,192,176,153,173,201,200,189,180,118,83,180,196,195,193,193,192,191,191,189,195,197,200,200,202,199,203,209,198,191,182,187,205,199,181,167,153,103,80,179,197,196,195,195,194,193,192,191,195,198,200,201,202,201,199,207,214,207,198,200,196,180,166,149,125,86,92,187,197,196,196,196,196,195,193,191,197,199,201,203,204,203,200,204,214,202,188,188,178,162,138,106,80,94,166,199,198,197,197,197,196,196,195,194,199,201,202,203,205,206,197,203,205,194,176,168,147,124,95,68,63,156,203,200,199,198,198,198,197,196,195,195,199,202,203,205,206,207,198,200,200,186,165,151,133,105,79,70,104,198,202,201,201,200,200,199,197,196,195,195,199,201,204,207,207,207,198,192,194,181,157,144,136,103,79,74,117,205,203,203,202,202,202,201,200,198,197,196,199,201,204,207,208,208,198,187,185,178,153,135,110,89,80,75,90,196,205,203,203,202,202,201,201,199,197,196,199,201,203,205,207,208,196,185,178,177,164,143,112,91,82,75,86,193,204,203,202,201,201,200,200,197,195,194,200,201,203,205,206,208,190,188,183,174,160,144,113,92,82,74,96,197,204,203,202,201,201,200,199,198,196,195,200,202,204,206,207,209,186,196,200,187,157,128,102,85,79,72,130,204,204,203,203,201,201,201,200,199,196,195
11,122,127,133,140,145,148,153,156,159,161,162,168,178,153,168,167,166,167,167,167,166,165,164,165,145,169,180,185,125,132,139,145,149,153,158,161,165,167,166,173,196,118,166,172,169,169,168,167,166,165,165,161,161,185,186,191,130,135,144,152,156,160,165,168,171,173,172,179,218,112,147,181,172,173,172,171,171,169,167,163,183,131,182,195,134,140,150,157,162,165,170,174,177,180,179,187,222,109,133,190,178,179,177,176,176,174,172,170,171,176,198,192,138,145,155,163,168,172,177,182,185,187,186,195,215,103,137,196,183,185,184,182,181,180,178,175,173,180,152,186,141,148,160,169,174,179,184,188,191,194,192,206,221,106,145,203,190,192,191,189,188,185,183,180,179,170,152,190,144,153,165,174,180,184,190,193,197,201,195,228,213,89,160,208,197,198,197,196,194,191,188,186,184,181,179,196,148,157,172,179,185,190,195,199,203,207,201,244,212,87,181,212,204,203,204,202,199,197,195,191,189,186,184,205,152,161,176,184,189,194,200,205,208,209,212,220,144,93,188,216,209,208,207,208,206,204,202,198,195,192,188,208,156,166,179,187,194,200,205,209,213,209,247,215,107,87,195,220,213,212,213,213,211,209,207,203,200,196,193,209,159,168,183,192,197,203,209,211,219,219,155,176,144,97,205,223,217,217,217,216,215,213,210,208,204,203,197,208,162,173,187,195,201,207,211,221,255,215,100,98,161,108,196,229,221,220,221,219,218,216,214,210,215,182,109,220,164,176,190,199,204,207,221,178,179,192,142,95,149,112,171,235,222,224,225,223,222,221,221,216,224,128,62,136,167,179,193,201,204,227,242,167,97,124,175,109,116,117,139,237,225,228,228,227,221,209,195,192,184,86,74,64,168,182,195,202,230,235,202,197,161,99,141,119,95,132,105,227,233,232,225,216,217,196,173,172,145,87,74,73,170,184,195,231,236,168,123,167,192,116,94,108,84,160,130,194,240,223,223,222,221,191,161,139,113,76,67,69,172,186,199,242,211,148,110,89,175,121,86,113,69,150,169,114,186,227,234,212,173,135,92,60,59,60,57,66,173,188,199,230,187,125,96,66,143,133,90,127,74,107,158,123,189,222,201,148,102,75,50,54,54,52,58,54,174,189,197,220,183,131,105,83,105,140,102,142,104,160,171,148,180,174,127,73,51,68,63,44,49,52,62,29,173,189,196,224,203,150,118,96,93,114,130,159,152,208,169,128,141,101,49,60,48,51,67,56,38,42,43,39,175,191,199,228,209,161,136,105,106,117,179,224,227,195,147,122,92,59,42,47,60,44,52,61,48,39,38,40,177,192,201,227,214,178,146,112,122,127,207,234,209,173,130,102,34,42,62,36,53,56,43,48,56,40,37,38,168,181,191,219,214,186,150,125,133,132,199,218,183,145,118,88,35,24,59,52,38,54,51,40,45,48,31,38,122,125,118,167,212,193,158,142,138,135,178,204,173,133,106,64,53,17,44,60,46,43,51,43,36,47,35,29,122,123,120,134,202,197,166,154,141,128,165,184,161,123,70,34,65,23,27,55,52,47,44,43,33,38,42,26,124,124,125,128,200,195,172,159,141,115,146,149,126,88,36,26,62,40,13,45,56,46,43,41,35,32,34,35,124,125,126,127,201,204,176,157,138,118,125,126,89,33,38,32,50,57,17,27,55,48,40,42,39,33,29,31,123,125,128,117,187,203,160,142,131,120,122,111,69,30,15,37,41,61,34,15,43,51,38,39,40,32,31,26
14,106,108,110,112,115,117,119,121,121,121,122,125,126,125,127,128,128,127,128,128,128,129,129,129,129,128,128,128,106,109,110,113,116,118,120,120,121,122,125,126,127,127,129,130,129,130,130,130,131,132,130,130,130,129,130,130,107,109,111,114,116,118,120,121,123,124,125,126,128,128,128,132,134,132,132,131,132,133,132,131,132,131,131,131,107,110,111,115,118,119,122,123,123,125,131,128,131,129,118,110,115,127,132,135,135,133,134,133,133,133,132,133,109,113,115,118,119,121,122,124,121,141,147,137,126,113,104,105,99,100,96,98,128,136,133,133,133,133,132,133,110,113,116,119,120,122,124,120,136,163,133,107,95,77,59,76,89,82,64,63,75,139,135,135,135,135,135,135,111,114,115,118,121,122,124,121,169,149,101,69,57,50,50,47,57,61,60,68,55,101,145,136,137,138,136,134,111,114,116,120,122,123,119,146,175,121,86,68,43,40,45,34,40,56,70,69,57,61,92,101,107,140,136,137,114,115,118,121,123,124,121,172,147,94,71,51,39,48,44,35,37,49,73,74,47,66,52,73,86,140,137,139,114,117,118,121,125,119,141,178,123,83,65,40,32,40,37,46,40,116,140,135,111,71,69,76,93,144,137,138,115,117,120,122,125,122,174,166,116,81,70,61,42,25,37,42,68,143,140,140,148,92,93,77,92,147,137,139,114,118,123,126,118,147,186,156,115,80,69,61,47,39,39,43,119,144,138,141,138,88,101,79,72,143,139,139,115,119,123,126,116,158,183,154,113,75,65,56,42,46,41,74,148,138,140,142,138,82,99,86,58,121,146,139,117,120,123,128,115,155,186,154,119,86,62,48,38,43,35,99,148,139,141,144,136,79,92,87,63,106,148,139,117,121,124,129,116,156,187,154,121,96,70,49,41,41,30,109,151,142,141,146,125,92,106,93,69,117,147,139,117,122,125,130,115,163,185,156,127,97,75,58,38,39,31,86,142,143,145,152,113,95,109,96,75,131,147,141,118,122,124,131,115,165,186,160,127,104,83,70,43,42,49,49,66,79,102,130,90,96,106,92,82,140,146,145,120,122,125,131,115,164,183,158,130,108,91,79,55,41,54,56,59,68,76,78,79,101,105,86,88,148,144,144,120,124,128,131,117,162,178,157,132,112,93,79,64,41,55,63,75,84,90,92,76,81,101,82,99,151,144,145,121,126,128,131,117,164,177,158,133,113,91,77,70,48,60,72,86,90,91,91,80,72,86,76,117,152,145,147,123,127,129,131,116,163,171,153,129,109,87,76,72,58,63,75,86,90,90,90,82,77,83,71,131,151,146,146,123,127,129,133,119,158,164,146,127,107,89,82,74,67,71,79,84,88,86,85,83,83,75,97,148,147,146,147,123,126,130,132,125,161,165,147,129,109,97,88,79,71,76,82,83,88,84,82,85,80,107,146,149,149,148,147,124,127,130,133,127,168,167,148,132,110,97,85,79,76,74,82,84,87,83,87,78,115,153,150,149,150,149,149,124,128,132,135,124,170,168,151,134,110,91,79,81,81,77,83,86,88,88,78,99,151,150,149,150,150,148,150,125,130,132,134,125,171,162,147,130,105,86,81,84,83,81,86,90,89,79,97,147,150,150,150,151,150,148,150,127,130,133,134,128,169,159,147,132,108,84,82,84,81,79,85,89,81,105,151,151,151,151,151,151,151,150,149,128,131,132,134,133,165,161,149,140,118,84,79,80,80,79,83,82,101,150,153,152,151,151,151,151,151,151,151
4,127,141,155,161,167,171,175,178,180,182,186,189,190,193,195,196,200,198,201,203,202,203,205,204,204,205,205,206,128,144,157,163,168,172,176,179,181,185,189,189,193,195,195,198,197,201,203,205,208,206,206,206,208,207,208,207,130,147,157,163,169,173,178,181,183,185,187,189,184,189,203,206,177,167,200,195,192,209,208,208,209,209,210,208,132,148,159,165,171,174,179,183,184,181,197,225,190,170,203,222,174,124,163,187,131,158,214,209,210,210,211,211,134,150,160,166,171,175,180,183,190,198,175,196,224,171,158,209,161,119,121,166,137,110,199,215,211,212,214,213,135,153,162,168,172,175,181,180,217,213,185,156,173,163,131,172,148,111,123,168,137,100,193,218,212,214,215,214,137,153,162,168,173,177,178,196,229,221,200,174,124,128,124,191,163,97,166,173,120,101,210,215,213,215,216,216,140,155,163,169,174,178,177,214,199,190,195,151,116,107,121,199,161,146,192,150,94,121,221,216,215,217,218,217,142,156,165,170,175,180,179,225,181,176,183,121,104,114,96,141,171,207,186,166,120,143,229,215,217,218,219,218,146,157,164,171,175,178,188,232,194,194,171,126,91,141,156,172,189,187,168,176,155,145,219,219,218,219,219,219,147,158,163,171,179,177,200,224,178,164,158,131,78,170,190,174,174,152,169,194,175,148,162,225,217,223,222,221,150,159,164,173,178,175,212,214,172,147,133,103,79,99,140,142,136,104,167,200,193,178,132,180,229,220,224,224,149,160,166,174,179,179,234,219,182,160,140,117,96,89,95,101,127,169,172,193,203,183,153,124,210,226,224,224,152,161,166,174,178,187,245,211,186,172,140,119,107,119,148,175,209,221,205,195,182,175,164,126,169,234,223,225,155,161,166,176,176,197,251,217,203,175,138,133,119,155,201,219,226,220,200,186,163,151,155,123,178,233,224,226,156,161,167,176,173,210,251,221,199,163,144,142,133,193,221,227,229,225,198,174,151,134,131,135,219,226,227,227,156,161,168,178,174,215,250,217,188,162,159,146,160,213,218,225,227,213,185,163,143,129,116,188,233,226,228,227,157,161,168,178,173,217,247,211,191,181,176,161,186,212,217,221,216,194,173,151,137,116,146,232,227,228,230,230,158,162,169,176,175,214,239,216,209,200,183,177,204,210,216,209,195,182,158,144,129,117,212,233,228,230,231,232,158,162,170,177,177,203,239,225,218,200,181,175,198,204,202,190,176,166,146,136,115,173,237,228,228,231,232,232,159,163,171,179,179,194,235,219,212,197,176,161,178,188,188,178,163,152,139,120,138,229,229,230,230,231,231,232,159,165,173,178,183,190,232,211,198,187,168,161,172,183,181,165,148,141,127,117,207,233,229,231,232,233,232,233,158,165,173,178,184,187,224,199,186,177,163,170,166,175,178,160,144,134,108,179,236,228,231,231,232,233,233,234,159,165,173,179,182,196,225,201,189,183,184,188,166,159,166,148,136,117,141,230,229,231,233,233,234,234,234,234,160,166,175,179,187,235,207,195,199,189,187,178,160,150,155,141,130,110,199,234,229,232,233,233,234,234,234,235,160,166,175,175,223,233,229,157,171,197,179,166,155,142,142,135,125,109,216,231,230,232,232,233,234,235,235,236,160,169,170,195,241,224,232,216,120,160,168,156,149,130,134,129,118,111,221,230,230,232,234,234,234,236,236,237,161,168,172,231,228,226,225,236,192,105,139,151,138,117,127,123,115,109,219,233,231,232,234,236,236,237,237,238
18,212,213,214,216,217,218,219,219,219,220,221,220,219,219,218,217,216,216,217,216,214,212,213,212,211,211,209,207,213,216,217,218,217,219,221,222,221,221,221,221,221,219,220,219,218,218,218,217,218,215,214,214,213,212,210,209,214,218,220,220,220,220,222,223,222,223,223,222,222,222,221,221,221,220,218,222,220,216,214,215,214,213,212,211,216,219,221,222,222,222,223,224,224,226,226,223,224,224,224,222,223,219,225,203,207,220,218,218,216,215,214,213,219,221,223,222,223,224,226,227,227,228,228,226,227,228,227,223,223,226,255,165,160,230,218,219,218,216,215,214,221,223,224,224,226,227,227,229,227,229,229,227,226,223,225,231,214,233,255,173,115,227,221,221,219,220,217,217,222,224,225,227,228,230,230,230,229,230,229,233,241,195,159,193,170,190,255,213,111,165,236,219,222,222,220,219,224,227,227,229,230,231,232,233,233,233,231,232,244,231,178,141,151,203,255,222,145,100,202,230,220,223,222,220,225,227,228,230,231,233,235,236,234,232,239,204,150,190,212,158,118,154,231,227,174,147,114,206,231,224,223,222,227,229,230,231,233,235,236,234,239,255,242,208,163,109,195,174,120,95,129,198,191,159,112,131,240,222,225,222,228,230,232,233,235,236,237,232,255,255,255,215,181,119,134,165,109,80,80,191,215,164,125,122,239,224,226,225,228,231,234,235,236,239,233,253,254,240,255,217,185,131,91,116,101,75,74,206,224,188,124,126,240,226,227,227,229,233,236,237,239,238,242,255,255,220,235,207,181,125,87,99,88,77,71,175,221,200,128,116,240,229,230,227,232,235,237,238,238,240,255,254,222,222,225,159,134,107,94,130,71,68,84,186,221,201,132,114,241,229,231,230,233,236,238,241,236,252,255,250,202,181,193,121,115,93,123,125,103,160,164,182,210,180,125,110,242,232,232,231,236,237,239,241,239,255,255,255,235,172,142,163,119,46,132,182,217,219,212,162,163,160,129,98,231,236,233,232,237,239,240,243,238,255,255,255,239,186,148,159,97,73,236,251,238,208,190,170,127,149,134,93,225,240,235,236,238,239,242,244,243,255,255,255,207,182,166,148,108,209,255,246,232,203,165,170,131,129,115,105,241,236,236,236,239,241,243,242,250,255,255,248,209,198,156,118,186,255,252,239,217,194,169,157,138,119,87,170,251,237,237,236,238,241,244,243,255,255,255,243,209,207,154,165,231,255,244,227,214,195,162,149,133,104,94,235,241,239,238,237,239,241,244,245,255,255,255,244,224,221,155,204,224,250,236,216,208,183,146,137,123,79,151,253,238,240,238,238,240,243,245,244,255,255,255,247,237,201,162,172,221,223,222,207,194,166,140,125,107,81,224,247,241,240,239,238,241,244,246,244,255,255,255,255,234,182,143,169,203,209,204,199,178,153,128,115,73,155,255,240,243,242,240,240,243,244,246,246,255,255,255,249,204,151,142,184,193,205,197,182,163,133,112,84,100,243,245,245,247,244,242,242,241,241,246,246,255,255,251,234,204,179,177,183,197,200,189,165,147,124,96,77,218,253,244,247,246,245,242,242,248,255,247,249,255,255,255,252,237,215,192,167,191,196,174,144,129,108,69,188,255,245,248,247,246,245,244,243,211,192,241,255,255,255,255,251,225,202,186,157,179,185,154,133,118,78,169,255,247,249,247,247,247,245,245,243,136,93,106,220,255,255,255,244,216,183,177,157,174,166,140,125,86,143,255,250,251,250,250,248,248,247,246,245
12,169,169,171,173,173,175,176,175,175,175,175,174,174,174,173,172,172,173,171,171,171,170,169,169,167,166,166,166,170,170,171,173,174,176,177,176,177,177,176,177,175,175,176,177,176,173,173,172,170,171,170,169,168,168,169,167,171,171,172,174,177,176,177,177,178,178,177,179,177,176,166,153,167,175,167,169,180,173,171,169,170,170,170,170,172,172,173,176,177,177,178,178,178,179,178,179,176,174,146,110,87,159,141,107,114,170,176,172,169,171,170,170,172,173,176,177,177,178,178,179,180,180,177,178,180,155,127,100,85,144,121,101,46,119,166,167,177,170,171,171,173,175,176,177,179,178,179,181,179,179,170,136,161,156,142,78,119,161,126,97,85,137,120,85,130,179,170,170,175,176,176,178,180,180,180,180,180,185,173,124,146,188,145,74,154,174,128,101,114,124,106,75,53,134,180,170,175,176,176,179,180,181,181,179,188,197,176,133,130,178,119,71,176,173,113,104,155,137,107,80,58,73,178,171,176,178,178,179,180,182,183,179,194,184,169,131,86,91,94,52,111,128,67,118,186,138,122,75,45,66,174,173,177,178,179,179,182,183,181,186,203,181,148,114,88,37,28,74,116,134,111,153,185,133,93,52,42,71,177,172,178,179,179,181,182,182,185,197,181,172,129,102,83,30,89,172,177,166,154,167,130,89,70,69,50,73,183,174,178,179,181,182,183,180,196,199,168,139,128,143,78,112,187,178,167,159,142,152,153,103,104,100,62,101,185,173,179,180,182,182,183,183,207,195,173,151,127,148,139,196,187,170,162,167,149,149,148,114,87,89,55,147,183,174,179,182,183,183,184,188,208,199,184,180,153,154,177,182,187,167,171,161,139,150,132,98,73,63,56,173,178,176,180,182,184,184,184,190,207,203,190,179,169,159,170,172,176,167,167,153,147,144,115,82,67,46,79,188,175,177,181,183,185,186,186,190,206,204,191,173,159,158,161,168,173,166,163,149,144,122,92,68,63,36,111,191,175,178,181,182,184,185,185,189,204,201,179,159,154,162,162,173,177,165,155,143,123,95,73,61,57,32,140,191,179,178,180,183,185,185,186,189,191,184,174,171,169,165,164,182,171,156,137,129,108,81,68,60,40,60,181,183,180,178,182,184,184,187,187,193,200,201,196,189,177,160,161,180,160,138,119,112,89,74,68,41,47,158,187,181,181,181,183,184,185,187,186,199,206,202,194,181,171,159,157,172,149,123,108,93,79,67,40,65,160,188,180,182,181,182,183,185,186,186,188,205,205,200,190,172,162,160,161,158,136,115,97,83,59,50,113,180,190,183,183,183,184,182,182,184,186,184,192,207,200,192,183,170,157,158,161,148,128,103,78,54,60,155,194,185,184,184,184,184,183,181,188,184,184,181,199,198,189,179,178,168,150,154,151,130,114,96,62,49,158,193,183,185,183,183,183,183,181,179,147,183,190,185,197,182,176,170,168,158,157,154,143,119,98,82,51,127,191,183,186,185,184,183,183,182,182,181,67,70,126,202,185,167,160,157,156,164,156,144,136,109,89,63,66,178,188,188,186,186,185,183,183,183,182,182,75,60,55,151,176,159,150,156,166,168,145,132,126,99,81,45,107,195,188,188,188,186,185,184,184,183,183,183,67,69,70,54,71,85,82,89,106,121,118,118,111,89,68,43,155,194,187,189,188,187,186,184,184,183,184,181,66,63,69,57,10,28,34,31,29,31,37,53,70,70,43,73,181,189,188,188,188,187,186,184,183,183,183,182
10,104,112,116,119,126,133,140,145,149,153,158,161,164,167,169,172,174,175,177,177,174,179,179,180,178,178,177,176,107,115,119,123,129,136,143,149,152,157,160,164,167,168,171,176,177,179,177,186,194,160,184,183,183,181,181,180,107,117,121,123,131,138,146,151,155,159,161,166,170,171,176,178,179,180,173,212,218,131,181,185,185,185,183,183,109,117,121,125,134,141,147,152,157,160,164,167,171,174,178,181,182,184,177,220,227,132,174,190,187,187,185,185,112,119,122,127,134,143,150,154,158,162,166,170,174,178,180,184,185,187,181,213,245,147,166,195,188,189,190,189,113,122,125,129,137,144,151,155,160,164,168,172,177,179,181,184,186,189,184,208,255,175,153,200,191,193,192,192,115,123,126,132,140,147,153,159,164,168,171,176,179,181,184,186,187,191,187,207,255,196,139,200,195,195,195,195,117,125,128,133,142,149,155,161,167,171,174,178,181,184,185,187,193,194,190,203,255,209,133,200,197,197,197,197,119,126,128,135,144,151,157,163,169,170,175,181,183,182,200,200,154,196,195,202,255,214,127,195,202,199,199,199,121,129,133,136,145,153,159,164,168,180,179,176,185,187,222,219,119,147,203,204,255,223,128,188,207,202,204,203,123,130,133,138,148,155,160,166,167,216,175,115,116,126,177,220,189,150,181,213,255,217,131,173,211,203,205,204,124,131,134,141,150,157,162,169,172,190,148,100,94,103,101,193,247,194,126,216,233,210,146,156,215,205,206,207,125,133,136,143,151,159,165,170,176,180,169,147,130,123,116,130,221,204,121,161,183,186,152,145,216,209,209,209,127,134,139,145,153,162,168,173,178,183,191,186,220,213,108,88,201,237,171,99,110,139,145,122,209,211,211,211,129,135,140,147,155,163,170,174,181,185,186,197,255,211,83,66,151,255,204,122,83,110,127,106,193,217,211,212,130,137,142,148,156,164,171,177,182,189,184,236,255,201,95,95,89,252,232,167,101,93,125,106,181,221,211,213,132,138,141,149,157,166,172,177,184,191,187,232,255,238,122,58,109,241,252,195,126,86,118,107,185,225,215,217,133,139,142,151,160,167,174,179,186,190,192,200,245,255,162,103,138,240,251,192,129,96,108,103,192,227,218,218,134,140,144,152,161,169,176,181,187,191,195,194,224,229,159,144,154,251,242,208,150,107,106,99,198,226,219,221,136,142,145,154,164,169,176,183,188,193,196,201,199,220,218,173,193,255,238,218,175,122,105,96,206,227,221,223,138,143,147,155,164,171,177,184,190,194,199,204,201,242,255,229,231,255,244,210,178,137,109,93,208,227,223,224,138,142,147,155,164,171,178,183,189,195,198,204,203,231,255,248,251,255,244,210,180,146,117,96,210,228,226,226,137,142,145,154,164,170,176,182,188,193,199,203,203,218,255,255,255,255,242,209,175,154,124,97,211,228,224,225,138,144,147,156,166,173,179,184,190,195,200,204,206,215,255,255,255,255,238,210,183,162,130,93,210,229,226,226,138,143,148,156,166,173,180,186,192,196,201,205,209,209,255,255,255,255,235,219,192,159,125,96,220,229,228,229,139,144,149,158,168,174,181,186,192,198,202,206,211,208,240,255,255,251,229,231,204,155,115,106,231,226,230,231,139,144,149,157,167,173,181,188,195,199,204,208,211,217,232,255,239,236,234,233,217,156,104,108,237,234,230,231,134,141,147,155,164,171,179,188,192,197,203,205,213,175,98,214,236,247,245,230,221,151,103,52,59,188,239,230
8,186,185,187,187,187,186,188,186,186,185,185,160,165,184,182,181,181,181,179,177,176,176,175,173,172,171,169,167,186,186,187,188,188,188,188,187,187,187,189,141,129,189,184,184,183,183,180,179,177,177,176,175,173,172,171,168,187,188,189,190,189,189,190,191,189,195,184,117,126,189,185,186,186,185,182,181,180,179,177,177,175,173,171,169,189,190,190,193,192,191,192,192,190,200,175,100,145,192,187,186,186,185,184,183,181,180,179,179,178,174,172,172,190,191,192,194,195,193,193,193,191,210,174,105,160,192,189,188,187,185,185,183,182,182,181,179,178,176,174,174,192,193,193,194,195,194,194,195,193,215,157,103,168,192,189,190,189,187,186,184,183,183,182,181,178,177,176,175,193,195,195,194,194,196,196,195,196,211,149,108,176,194,187,153,176,193,188,186,184,185,183,182,180,179,178,175,194,196,196,196,196,196,197,196,200,212,163,142,176,196,199,150,128,162,175,189,185,186,185,183,181,180,179,175,195,196,196,196,197,198,197,194,204,205,177,161,181,190,202,187,147,124,114,137,189,180,187,185,182,180,179,177,196,197,197,198,198,199,200,196,206,201,188,171,199,193,181,202,182,175,140,84,123,121,123,180,185,182,181,179,197,197,198,199,200,201,201,197,215,189,180,187,202,186,151,168,185,170,145,87,58,72,64,123,190,184,183,180,198,200,200,200,202,203,202,205,202,174,179,172,190,169,135,93,173,181,151,98,56,63,65,89,190,185,183,181,199,201,202,202,203,204,202,218,190,156,151,157,185,148,112,59,135,201,158,105,60,75,64,114,191,185,183,182,200,201,202,203,203,202,209,227,201,168,130,130,171,131,91,73,135,210,165,110,59,58,69,173,190,185,184,184,201,201,202,205,204,202,227,224,198,167,139,128,176,168,166,189,178,186,154,114,65,47,148,193,187,186,185,183,201,203,204,205,205,207,233,213,191,172,152,128,148,211,208,187,188,150,139,118,66,122,196,192,189,188,187,185,202,205,204,205,206,216,230,207,194,168,136,136,192,214,193,166,188,132,125,113,63,175,196,193,190,189,188,186,203,205,206,207,206,225,229,206,195,160,141,184,218,204,183,157,171,130,101,86,79,196,195,194,193,189,188,187,205,206,207,208,208,229,226,210,194,159,176,204,213,192,174,147,150,125,84,59,132,204,196,195,193,190,189,188,207,207,209,205,202,230,223,208,186,164,176,198,192,176,157,138,137,101,69,56,181,201,197,195,194,193,191,189,207,208,215,148,89,180,212,192,170,160,168,179,178,162,143,133,112,79,51,99,204,200,199,196,195,193,191,189,207,212,185,85,68,75,144,177,164,161,161,172,175,149,130,108,80,61,53,173,202,200,199,196,195,194,193,190,208,213,115,68,70,67,68,122,163,168,153,169,163,128,105,81,67,47,129,207,201,201,199,196,196,194,193,191,217,158,75,70,66,65,64,39,71,97,114,150,137,95,76,66,49,103,204,204,202,201,199,197,196,195,193,191,187,87,69,67,63,60,67,42,30,43,46,68,79,66,54,46,119,202,205,202,202,201,199,199,196,195,194,191,101,69,68,66,59,57,65,48,17,40,38,30,28,32,26,132,213,204,202,201,201,201,199,197,195,194,193,190,67,61,59,61,58,53,63,41,12,33,34,26,25,21,19,72,169,207,203,202,201,201,199,196,195,194,191,189,70,56,42,85,72,45,60,24,13,29,29,22,21,22,20,1,102,212,204,203,202,202,200,198,196,195,193,189
14,165,171,175,179,183,186,188,190,193,195,197,200,203,203,203,204,206,208,210,211,212,212,213,214,215,215,215,216,168,172,176,180,184,187,189,192,195,196,200,201,205,205,207,209,212,212,212,213,213,214,215,216,216,215,217,217,169,173,179,184,185,188,191,194,196,196,198,200,201,210,184,180,196,199,213,217,219,216,216,216,216,215,219,219,170,174,179,184,187,189,192,196,197,196,205,208,210,200,137,127,180,186,205,180,193,223,217,217,217,216,219,219,171,174,179,183,186,190,193,195,197,217,220,200,174,153,131,120,165,192,181,122,158,231,217,221,221,221,221,221,172,177,181,185,188,192,193,199,232,233,195,131,107,114,130,127,140,151,147,110,110,213,223,221,223,223,222,222,173,177,183,188,190,193,192,239,238,198,152,100,75,84,109,125,157,148,156,163,135,173,218,222,224,224,223,223,173,177,183,188,192,189,204,252,190,131,94,103,92,110,122,88,112,138,145,178,188,153,165,232,222,224,224,224,175,180,185,189,193,187,233,236,156,96,88,101,94,131,119,97,121,138,153,141,149,116,122,229,225,224,226,226,177,182,186,188,191,196,252,207,143,87,84,84,87,109,94,125,145,101,148,169,158,146,133,162,232,228,226,227,176,181,185,189,187,219,247,178,109,82,93,100,99,85,90,133,130,117,215,233,218,178,154,128,181,220,228,226,177,184,187,192,190,242,217,153,112,107,100,108,104,105,111,100,118,203,230,224,228,228,188,182,143,206,234,228,178,184,188,188,209,255,205,156,134,108,100,103,103,114,120,93,181,236,223,224,231,211,196,178,139,230,229,229,178,184,190,186,239,253,198,152,121,102,97,97,102,113,106,128,229,224,227,228,229,198,199,142,171,241,228,230,178,184,190,187,247,236,188,150,109,95,95,99,107,111,91,152,236,221,228,231,223,190,192,121,176,243,229,231,179,186,191,190,254,232,179,133,99,95,98,103,110,98,88,130,229,230,230,229,180,184,186,126,155,243,229,232,179,186,188,200,255,219,178,137,104,98,102,107,112,111,119,125,167,218,220,196,193,195,181,123,169,243,229,231,180,188,185,214,255,215,176,135,106,96,100,114,118,129,146,157,146,142,172,196,207,200,153,154,231,233,231,231,180,188,182,229,255,210,174,134,109,99,102,114,126,141,157,169,172,158,196,202,201,166,158,233,235,232,232,232,180,188,183,240,247,208,175,141,115,101,105,119,142,158,173,173,175,169,188,197,159,156,232,237,234,236,233,233,180,187,186,249,238,206,174,145,122,105,104,129,162,176,187,185,174,169,164,155,141,228,238,234,236,236,234,234,181,186,192,248,227,202,171,150,126,107,105,139,180,184,183,184,179,167,125,129,220,236,232,236,235,235,236,236,182,186,200,245,217,195,176,156,129,110,106,149,187,180,180,179,180,139,136,221,238,232,235,236,236,236,236,235,184,184,208,241,209,197,184,158,137,117,111,148,187,179,163,173,151,137,228,238,232,236,236,237,237,237,236,235,183,182,221,243,211,205,188,159,139,126,110,136,173,165,151,152,133,214,240,234,236,235,236,237,237,237,236,236,182,182,240,244,218,210,186,159,140,124,109,126,153,145,151,119,200,239,232,236,235,235,236,237,237,237,237,237,182,191,255,236,226,209,171,148,132,114,112,126,133,126,142,196,239,230,234,237,237,237,237,238,238,238,238,238,176,213,254,223,221,195,151,137,123,112,120,122,112,131,205,238,230,232,234,237,237,238,238,238,238,238,238,238
10,158,161,164,167,167,169,171,171,174,174,174,174,176,179,182,183,180,181,181,181,182,183,183,181,180,181,182,182,163,165,168,171,172,173,175,176,176,177,178,179,181,182,183,180,183,184,184,185,185,184,185,184,183,183,183,183,168,170,173,175,178,179,180,181,182,182,183,184,185,184,210,155,157,192,187,189,189,189,189,188,186,184,185,184,172,176,180,180,182,184,184,186,186,186,189,189,189,188,224,155,134,200,190,191,192,192,192,191,190,189,188,187,178,180,184,185,187,188,188,191,190,190,193,193,192,193,228,164,126,200,194,196,197,196,194,193,194,193,192,191,183,184,188,191,193,192,194,194,198,196,196,197,196,198,232,177,128,202,199,198,199,199,197,197,198,196,193,193,187,189,193,197,196,195,197,204,194,203,206,205,203,202,236,189,131,202,206,204,202,203,201,200,200,199,197,196,191,193,197,200,199,200,202,215,151,126,191,184,201,208,238,202,130,197,210,209,208,208,206,205,202,202,202,201,195,198,201,203,205,206,209,190,115,70,103,110,146,219,237,207,126,193,216,212,212,211,210,208,207,207,206,204,198,201,204,206,209,208,211,212,134,78,98,95,106,221,251,218,126,195,220,214,216,216,214,212,211,210,209,207,199,205,208,210,211,213,213,221,198,127,171,120,89,206,222,197,123,200,223,218,219,219,219,218,216,214,213,212,204,208,212,215,214,214,220,234,198,111,221,180,109,139,131,148,117,201,228,223,223,223,222,220,219,218,217,215,208,211,215,216,220,215,216,248,207,78,178,213,143,86,89,115,107,204,231,225,226,226,225,223,222,221,218,218,210,214,218,218,230,243,225,245,220,106,102,231,180,112,93,121,99,203,233,227,230,229,228,227,225,224,224,222,213,217,220,222,227,254,221,230,225,152,63,199,221,147,100,114,96,207,237,231,232,232,230,230,229,228,226,225,215,220,223,225,224,213,191,174,255,211,78,118,235,181,119,96,96,201,241,232,233,233,233,233,232,232,228,226,218,222,224,227,229,217,187,149,223,170,67,94,200,198,156,99,89,206,245,236,236,236,235,235,234,232,231,230,222,225,227,227,231,236,185,173,158,79,91,147,181,197,159,101,83,211,247,239,239,239,239,238,235,233,232,233,224,226,229,231,232,247,223,177,150,116,193,243,204,173,147,103,90,221,246,241,240,240,240,238,237,236,235,235,225,229,231,234,234,255,226,200,200,184,254,255,211,157,136,103,112,243,242,242,244,241,241,239,238,238,238,236,229,231,231,234,236,251,240,224,215,201,255,241,200,156,127,100,136,254,242,243,243,243,242,241,240,240,240,238,229,232,233,237,237,248,242,216,214,208,253,224,188,151,123,94,144,255,245,246,246,246,244,242,242,241,241,240,231,234,236,240,239,241,243,231,232,202,232,216,177,143,117,92,151,255,245,248,248,247,247,246,245,242,241,240,232,236,237,239,240,237,236,237,230,195,227,215,168,136,115,95,164,255,247,249,249,249,247,246,246,244,243,243,233,238,238,239,242,241,236,232,214,181,211,208,167,139,119,98,197,255,248,250,249,248,248,248,247,246,246,245,234,237,238,239,242,240,247,222,190,183,208,183,180,161,116,113,242,255,253,253,253,250,250,250,249,248,247,247,234,237,238,241,243,237,255,238,216,207,202,190,199,173,100,156,255,254,255,254,255,255,253,253,252,251,249,248,232,234,238,240,239,228,252,246,229,214,191,194,189,155,94,214,255,253,255,255,254,253,254,255,253,251,249,248
11,181,183,185,187,188,189,190,192,192,193,193,193,193,195,195,196,195,194,194,194,193,192,192,192,190,188,187,187,182,185,187,188,189,191,192,193,194,194,194,196,199,189,197,198,197,196,196,196,194,194,193,193,193,192,189,188,185,187,189,191,191,193,194,195,196,197,196,204,208,157,193,200,198,197,198,198,198,197,196,195,195,194,192,191,187,188,191,193,193,194,196,198,199,199,198,217,206,140,190,200,199,199,200,200,200,199,199,198,197,195,194,193,188,190,193,194,195,196,198,200,200,200,202,235,193,138,195,201,201,201,200,201,201,201,200,199,198,197,196,194,191,193,194,196,196,198,199,201,202,200,217,241,167,148,201,201,202,203,203,202,202,202,202,201,200,198,198,197,193,194,195,197,199,200,200,202,203,202,237,234,150,172,205,204,204,205,206,204,203,203,203,203,202,200,200,198,194,196,198,200,201,201,202,204,202,216,249,210,140,189,207,207,207,207,207,206,205,206,206,204,203,202,201,200,195,197,199,201,202,203,205,205,209,242,243,175,142,204,209,208,208,208,208,208,207,207,207,206,205,203,202,202,196,198,200,202,204,206,206,205,225,254,229,141,162,211,209,209,209,210,210,210,209,209,208,207,207,206,204,203,199,201,202,204,205,207,208,208,239,255,213,131,191,212,210,210,209,210,211,211,211,210,209,208,207,207,206,205,201,202,204,206,207,209,209,216,250,254,205,176,217,191,206,212,211,212,212,213,214,212,210,210,209,208,208,206,201,203,205,207,209,209,208,232,255,254,246,235,205,149,187,214,213,213,214,214,214,213,212,211,210,209,209,208,202,204,207,208,208,213,224,248,255,254,248,203,148,131,171,215,214,215,216,215,215,214,213,213,213,211,210,208,203,205,208,213,231,245,252,254,254,240,218,180,129,125,155,215,215,216,216,217,217,216,214,214,214,214,211,209,204,207,208,232,254,254,254,254,251,211,149,147,128,129,142,211,217,217,218,218,217,217,216,215,215,214,213,211,205,207,214,248,252,250,254,253,239,191,137,128,128,130,138,207,219,219,219,218,218,218,218,217,216,215,214,214,207,208,227,253,253,253,248,227,197,196,155,126,124,128,139,207,220,220,221,220,218,219,218,218,217,216,216,215,210,210,241,254,252,235,202,165,144,201,176,133,120,126,153,215,221,221,222,221,220,221,220,219,219,217,216,216,209,218,251,254,238,192,146,108,102,200,183,132,130,175,207,223,225,223,221,218,217,220,221,220,219,217,217,217,209,232,255,247,219,175,135,100,144,196,141,108,136,202,217,212,201,180,162,153,153,168,205,222,221,220,219,219,213,246,254,241,200,153,118,95,130,141,93,90,91,110,134,139,140,137,133,136,133,124,135,196,223,221,221,220,227,254,252,223,172,129,103,92,93,96,91,95,99,98,110,130,143,151,148,147,141,129,116,150,222,219,220,220,247,255,244,202,158,123,97,90,91,95,102,108,114,118,134,146,151,154,156,163,179,183,166,181,222,220,220,216,254,254,233,187,148,116,90,92,101,114,124,127,130,133,146,149,169,197,215,222,225,226,225,223,223,223,222,181,255,250,217,173,140,111,92,109,125,136,142,143,138,134,152,190,224,228,229,228,227,227,226,227,227,212,173,125,254,239,200,162,132,110,101,127,141,143,144,146,137,172,214,227,228,228,229,229,228,228,227,227,197,143,113,101,249,225,183,151,130,111,106,131,140,141,141,136,167,225,229,229,229,229,229,230,230,230,229,199,136,116,105,96
10,123,125,127,129,129,131,132,133,134,134,135,135,136,138,141,141,139,140,140,140,140,141,141,140,139,140,140,140,126,128,130,132,133,134,135,136,136,137,137,138,140,141,142,139,141,142,142,142,142,142,143,142,141,141,141,141,130,132,134,135,137,139,139,140,140,141,141,142,143,142,161,120,122,148,144,146,145,146,145,145,144,142,142,142,133,136,139,139,141,142,142,144,144,144,146,146,146,145,171,120,105,153,146,147,148,148,148,147,146,145,145,144,137,139,142,143,144,145,145,147,147,147,149,149,148,149,175,127,99,154,149,151,152,151,149,149,149,148,148,147,141,142,145,147,148,148,149,150,152,151,151,151,151,152,177,137,100,155,153,153,153,153,152,151,152,151,149,148,144,146,149,152,150,150,152,156,149,156,158,157,156,155,180,146,103,155,158,157,156,156,155,154,154,153,152,151,147,149,152,153,153,153,155,165,118,99,147,142,154,160,182,155,102,152,162,160,159,160,158,157,156,155,156,155,150,152,154,156,158,158,160,147,91,58,82,87,114,168,181,159,99,148,166,162,163,162,161,160,159,159,159,157,152,155,157,158,161,160,162,163,105,63,78,76,84,169,192,167,99,150,169,164,166,166,164,163,162,161,161,159,153,157,160,161,162,163,163,169,152,99,132,94,72,158,170,152,97,153,171,167,168,168,168,167,166,164,163,162,157,160,163,165,164,164,169,179,152,88,170,139,86,109,102,115,92,155,175,171,171,171,170,169,168,167,166,165,160,162,165,166,168,165,165,189,159,63,138,163,111,69,71,91,85,157,177,173,173,173,173,171,170,169,167,167,161,164,167,167,176,185,172,187,169,84,81,177,139,88,74,95,79,156,178,174,176,176,175,174,173,171,171,170,164,166,168,170,174,194,169,176,172,118,52,153,169,114,80,90,77,159,182,177,177,177,176,176,175,174,173,172,165,168,171,172,172,164,147,134,202,162,64,93,180,140,94,77,76,155,184,177,178,178,178,178,177,177,174,173,167,170,172,174,175,166,145,116,171,131,55,75,154,152,121,79,72,158,187,180,180,180,180,180,179,178,177,176,170,172,174,174,177,181,143,134,122,64,73,115,140,152,124,80,67,162,188,183,183,183,183,182,180,178,178,178,171,173,175,177,178,189,171,137,117,92,149,186,157,133,114,82,72,169,188,184,184,184,183,182,181,180,179,180,173,175,177,179,179,196,173,154,154,142,194,195,162,122,106,82,89,186,185,185,186,184,184,182,182,182,182,180,175,177,177,179,181,192,184,172,165,154,199,184,154,121,100,79,106,194,185,186,186,186,185,184,184,184,183,182,175,177,178,181,181,189,185,166,164,159,193,172,145,117,97,76,112,196,187,188,188,188,186,185,185,185,184,183,177,179,181,183,182,184,186,177,177,156,178,166,136,112,92,74,117,198,187,190,189,189,188,188,187,185,184,184,178,180,181,183,184,181,180,181,176,150,174,165,130,106,91,76,127,198,188,190,190,190,189,188,188,187,185,186,178,182,182,183,185,184,180,177,164,140,162,159,130,109,94,78,151,197,189,191,190,189,190,189,189,188,188,187,179,181,182,182,185,183,189,170,147,141,159,141,139,125,91,89,185,195,193,193,193,191,191,191,190,190,189,188,179,181,182,184,186,182,194,182,166,159,155,146,153,134,80,121,199,193,195,194,195,195,193,193,192,191,190,189,177,179,182,183,183,174,193,188,175,164,147,150,146,121,75,164,199,193,194,195,194,193,194,194,193,192,190,190
1,133,136,139,141,142,144,145,145,144,145,146,148,147,148,147,148,148,148,151,148,148,149,150,147,147,146,146,146,138,140,143,145,146,146,147,149,149,149,151,151,150,150,153,152,154,150,138,152,151,152,153,152,151,149,151,150,142,144,147,150,150,151,151,153,153,155,156,155,155,159,130,144,170,163,83,148,159,155,154,155,154,153,151,150,146,147,152,153,154,155,156,156,156,156,158,155,165,181,94,127,180,150,74,152,153,159,159,158,156,156,154,153,149,152,157,158,159,159,160,160,161,161,162,158,179,173,86,138,181,128,83,163,121,118,168,159,160,159,158,157,154,156,161,162,164,164,164,163,164,166,160,125,173,157,86,154,182,111,94,174,127,82,171,163,163,162,161,160,157,160,164,165,166,167,169,169,167,181,159,97,146,144,92,167,189,115,114,185,128,82,170,167,166,166,165,164,161,164,166,167,168,172,173,173,170,189,147,93,142,141,105,170,178,110,128,190,117,87,175,169,169,168,167,167,164,167,169,171,172,176,174,174,173,189,132,98,136,121,97,155,160,98,142,194,115,95,182,173,172,172,170,169,166,169,172,174,175,177,178,176,176,196,134,108,129,123,77,164,157,94,164,189,114,106,189,177,176,175,175,174,169,172,174,177,178,180,180,180,181,197,123,98,131,143,80,179,163,102,178,173,105,120,190,179,181,180,178,177,172,175,176,179,181,182,181,180,186,202,145,91,116,127,72,169,137,108,191,180,102,137,192,180,183,181,181,180,175,178,180,182,183,184,184,182,187,202,138,79,113,109,75,148,111,123,194,171,98,156,194,185,185,183,182,182,176,179,182,185,187,187,188,185,192,203,151,116,142,171,159,171,169,119,144,166,92,171,194,189,188,187,185,184,177,181,183,186,189,188,190,187,202,203,158,128,98,139,183,179,181,148,92,126,92,186,194,191,189,188,188,188,181,183,186,187,188,191,191,188,211,188,142,110,83,78,111,128,191,190,120,60,93,199,193,193,193,191,189,188,181,184,188,189,191,193,193,192,217,189,143,101,90,96,104,131,199,211,169,66,109,208,193,194,194,193,192,191,184,188,190,193,194,195,195,197,219,188,135,106,106,109,143,180,169,202,180,95,121,211,195,197,196,195,195,195,187,190,192,193,194,196,196,201,217,182,139,104,117,115,172,204,184,162,144,105,88,202,198,198,197,195,196,196,189,191,193,193,194,196,197,206,215,184,145,120,123,137,201,205,178,153,113,82,94,206,200,199,200,199,198,198,191,192,194,196,196,199,200,206,214,185,146,131,117,157,215,210,167,137,101,62,113,213,201,202,201,201,201,200,193,194,196,197,198,199,201,204,210,182,151,141,120,153,215,203,155,125,90,60,153,215,203,204,203,203,201,200,193,194,196,199,200,201,201,202,203,183,161,153,124,147,213,179,142,109,76,86,206,208,205,204,204,203,203,203,192,196,198,200,200,201,203,204,201,186,163,156,121,154,202,165,137,96,61,137,218,205,207,205,205,206,207,205,194,197,200,202,202,202,206,204,209,189,166,152,112,157,180,149,124,84,65,186,216,208,208,206,206,207,207,205,195,197,200,203,204,205,204,202,213,194,175,143,117,154,148,128,111,66,100,216,210,211,211,210,209,209,208,207,195,197,198,201,203,205,198,206,212,210,186,146,129,152,136,123,99,65,166,218,211,212,212,212,212,210,210,208,193,197,198,200,201,201,197,207,203,196,181,145,139,138,127,110,71,112,218,211,212,212,213,212,212,210,210,209
2,180,180,180,180,180,180,180,179,178,177,175,174,174,172,171,170,169,168,166,165,165,164,163,161,160,159,157,155,182,182,182,182,182,182,181,180,180,179,177,176,175,174,173,172,170,166,162,164,166,166,165,163,162,160,159,157,185,185,185,185,185,184,183,182,181,181,179,178,177,176,173,168,160,147,127,133,154,161,162,164,164,162,160,159,187,187,187,187,186,186,185,184,184,183,182,179,174,169,163,151,131,108,82,82,116,131,133,159,165,164,162,161,189,189,189,189,189,188,187,187,186,185,184,177,168,159,146,117,88,68,55,61,85,95,92,138,165,166,165,163,191,191,191,190,190,190,189,189,188,187,183,173,163,140,107,70,51,46,42,45,56,62,62,105,161,168,167,165,193,193,193,192,192,192,191,191,190,187,180,171,146,100,64,44,37,39,39,39,44,50,62,115,166,170,168,167,195,195,195,195,195,195,193,192,191,186,178,163,118,67,48,40,39,42,54,72,76,84,108,153,173,172,170,169,197,197,197,197,197,196,195,194,192,183,174,145,91,53,45,43,55,82,120,151,155,158,167,175,176,174,172,171,199,199,199,199,199,198,197,195,189,181,165,120,68,45,45,56,114,160,176,182,182,181,180,179,178,176,174,172,200,200,200,201,201,200,199,192,184,183,159,108,67,48,47,82,162,186,186,185,185,184,182,181,179,178,176,174,201,201,202,202,201,201,198,184,185,184,152,105,71,52,58,126,182,189,188,188,187,185,183,182,181,179,178,176,203,203,204,204,203,202,193,182,190,178,143,101,69,54,88,169,192,192,191,190,188,187,185,184,182,180,179,178,204,204,205,205,205,201,185,184,193,170,131,92,62,55,114,187,194,194,194,192,189,188,186,185,183,182,180,179,206,206,206,206,206,197,182,192,192,158,122,87,59,59,137,194,196,195,194,192,191,189,187,186,184,182,181,180,208,207,207,207,205,190,186,198,183,145,117,85,57,66,156,197,197,196,195,194,192,189,183,174,165,164,174,180,208,208,208,208,202,186,195,195,167,138,118,82,54,59,131,184,197,197,195,194,188,171,149,133,124,119,140,173,209,208,209,208,195,189,198,184,155,139,115,76,50,51,78,123,175,196,193,181,154,123,113,113,108,103,127,170,210,210,210,205,191,193,193,173,149,135,106,68,48,53,64,76,121,168,158,132,109,100,107,105,104,131,166,181,211,211,210,200,190,192,186,165,144,126,92,60,52,63,68,70,79,97,98,97,99,97,94,98,138,175,186,185,213,213,208,195,192,190,178,156,136,114,82,58,64,73,75,74,73,71,81,89,90,90,98,138,179,189,189,187,214,212,203,196,194,187,171,147,125,104,77,62,72,77,75,74,70,66,72,84,104,135,162,184,192,192,190,189,213,207,198,196,194,184,164,134,112,97,73,66,74,75,71,67,63,64,87,131,169,190,195,195,194,193,192,190,210,198,192,189,187,176,149,118,99,84,66,66,71,70,65,64,85,119,160,190,199,200,199,197,196,194,193,191,200,190,182,181,176,160,129,97,81,68,61,61,63,62,67,106,163,192,201,203,202,201,200,199,196,194,193,192,192,184,174,174,166,149,115,85,72,62,59,61,70,91,134,182,203,207,205,204,203,202,201,200,198,195,194,193,189,179,172,174,167,146,104,79,69,67,92,126,154,179,200,208,208,207,206,204,203,202,201,200,199,196,195,193,186,176,171,174,166,140,95,75,67,91,162,198,207,209,209,209,208,207,206,205,203,201,201,200,198,196,195,193
11,166,169,171,174,177,177,179,180,181,181,181,180,181,180,179,178,177,175,175,174,172,171,170,169,167,166,165,163,168,171,173,176,179,179,181,182,183,183,182,182,182,181,182,180,179,178,176,176,174,174,173,172,169,168,166,165,170,173,175,178,181,182,183,184,184,185,185,183,184,183,182,181,181,181,178,177,177,176,174,173,171,170,167,166,172,175,177,179,182,183,185,186,185,187,187,187,186,185,184,183,178,178,182,180,178,177,176,174,173,172,170,168,174,177,179,181,183,186,188,188,187,188,187,187,188,187,186,190,175,127,178,181,179,179,179,176,176,174,171,169,175,179,180,182,185,187,188,188,188,189,189,189,189,188,187,196,179,106,158,185,181,181,181,179,178,175,173,172,176,180,183,184,187,188,189,191,190,190,191,191,190,189,188,196,175,112,150,189,183,181,181,181,178,177,175,174,178,181,184,186,188,189,192,193,193,193,192,192,192,191,188,202,185,122,149,190,185,182,181,181,180,177,176,174,179,182,185,188,189,192,194,194,194,194,194,192,193,194,190,209,192,128,140,192,186,184,183,182,181,179,177,176,182,184,186,188,191,193,194,195,195,195,195,194,194,195,192,210,180,118,139,193,186,185,185,184,182,180,178,177,182,185,187,190,193,194,195,195,196,196,197,196,197,197,196,212,173,112,144,193,188,187,186,186,184,182,180,178,184,187,190,193,195,196,196,197,198,198,201,200,186,156,175,214,171,115,153,194,189,189,188,186,185,183,182,179,187,188,191,194,196,197,198,201,203,192,165,176,173,128,111,186,148,103,164,195,191,190,189,188,187,185,182,180,187,190,192,195,198,199,198,170,174,185,133,92,157,141,87,96,100,88,183,196,193,191,189,188,188,186,183,181,188,192,194,196,198,203,202,156,103,172,143,86,157,138,85,72,79,104,198,195,193,193,193,191,190,189,186,182,189,193,195,198,198,215,209,176,100,152,148,87,146,122,82,72,76,114,202,196,195,193,189,183,174,171,183,186,192,194,196,199,207,226,212,174,103,115,131,80,131,117,78,64,66,109,204,196,195,190,178,168,145,130,129,160,193,195,198,199,217,210,193,171,107,84,118,80,152,130,88,57,71,115,204,192,199,195,159,131,108,100,89,103,194,196,200,200,221,224,197,161,94,100,135,88,184,169,104,65,86,111,182,194,191,144,90,80,117,143,137,150,195,197,201,201,226,227,198,144,111,125,190,115,177,169,89,81,120,134,171,183,145,86,91,170,198,195,193,190,195,198,201,201,228,222,186,159,153,119,215,131,92,135,116,134,137,131,147,129,84,103,188,199,196,193,190,188,195,198,201,201,224,220,198,175,146,132,170,122,131,174,169,149,131,114,108,80,94,195,201,197,195,193,191,188,196,200,203,203,219,219,205,183,165,180,190,193,175,163,153,138,125,96,77,87,184,205,200,198,197,195,193,190,197,201,204,205,214,215,201,178,155,157,171,179,165,158,139,128,113,72,102,186,206,203,201,200,199,195,193,192,196,201,199,205,212,210,194,159,136,152,166,160,154,141,127,115,79,116,201,209,203,202,201,200,199,196,194,193,196,199,107,80,185,193,178,152,153,161,160,150,137,118,96,82,136,207,208,205,203,201,201,200,198,195,193,191,202,151,62,52,104,172,187,182,174,153,150,131,103,71,104,185,212,209,207,206,204,202,201,200,198,196,193,191,194,92,61,64,60,92,154,168,157,141,129,109,77,76,199,216,210,208,207,206,204,202,201,200,198,195,194,192
17,169,173,175,177,179,179,181,182,183,183,185,185,187,189,190,191,191,192,192,192,193,194,194,194,195,196,195,196,171,173,176,178,179,179,181,183,185,185,186,187,188,189,192,192,194,195,194,194,195,195,195,195,196,196,197,196,171,173,176,178,180,180,181,183,186,186,188,189,189,190,192,193,195,196,198,198,196,200,196,196,197,197,198,198,171,173,176,180,182,182,183,184,186,188,188,191,192,193,193,195,197,189,164,182,153,172,204,198,199,199,198,198,173,175,176,180,182,183,185,186,188,189,191,192,193,195,196,197,199,201,158,122,118,142,208,198,200,199,199,199,173,175,179,181,182,185,187,187,190,191,192,193,194,195,197,197,197,218,180,122,92,154,208,199,201,201,200,200,175,177,179,182,183,186,188,188,190,191,191,193,194,195,197,199,196,218,190,143,86,165,210,200,202,202,200,200,174,178,179,182,185,187,188,189,190,191,194,195,198,200,197,200,197,219,204,159,103,187,206,202,202,202,201,200,176,180,181,183,184,187,188,191,191,192,193,198,184,176,205,201,197,223,203,161,124,201,205,203,202,204,203,202,178,180,181,184,186,188,189,192,194,194,194,199,189,143,160,206,206,226,197,159,127,202,206,204,204,204,205,203,177,181,183,184,186,188,191,191,191,190,191,208,194,171,144,166,189,218,199,159,124,201,206,206,206,205,205,204,179,182,182,184,188,189,188,196,205,176,144,183,210,204,206,165,116,160,188,162,126,199,208,207,207,207,205,204,179,181,183,187,189,191,187,208,215,176,135,180,189,213,216,192,136,112,159,151,122,194,210,206,207,207,205,206,179,182,185,188,189,190,193,207,180,198,168,165,148,150,223,210,167,110,124,135,114,191,212,208,208,206,205,206,180,183,185,188,189,190,194,216,166,153,151,110,103,90,215,225,190,125,106,117,107,189,213,208,209,207,207,207,180,183,186,188,191,190,202,203,159,140,149,122,117,114,193,241,201,149,105,116,104,180,215,207,209,208,209,208,180,183,186,190,192,189,207,209,187,170,161,136,148,150,172,248,202,164,114,112,106,172,216,207,209,210,210,209,180,183,186,190,193,190,217,201,169,162,155,145,168,173,206,225,202,175,124,105,100,173,218,209,210,210,210,209,181,183,186,190,193,196,218,185,163,155,152,163,165,215,244,204,188,172,123,100,91,172,218,209,212,210,209,210,182,184,187,191,191,200,224,189,172,157,156,165,187,243,232,208,179,161,121,97,92,181,217,208,211,210,210,210,181,185,190,192,190,206,228,194,179,158,159,168,219,239,220,203,172,154,117,99,97,201,212,209,211,211,210,210,182,187,190,192,188,211,229,198,187,167,158,189,238,233,216,195,160,149,115,93,122,217,209,210,212,212,211,209,183,186,191,193,187,219,231,200,194,185,161,199,241,222,212,197,156,136,114,87,164,220,210,212,211,210,210,209,184,188,192,195,188,219,237,205,202,198,173,198,233,211,204,193,158,126,107,101,203,214,211,213,211,211,211,210,186,189,191,194,189,212,239,212,207,200,187,187,224,207,204,184,154,124,95,138,222,209,212,211,211,212,211,211,184,188,191,194,192,203,237,219,205,194,192,187,209,202,204,192,149,121,91,159,223,209,211,211,211,212,212,211,185,188,190,193,196,198,233,215,202,189,188,193,202,192,205,195,149,119,95,181,221,211,212,213,212,213,213,212,185,188,191,193,195,200,231,208,202,188,184,190,200,188,203,186,143,116,112,209,215,212,213,213,213,212,213,212
21,47,55,65,81,98,108,115,120,124,128,129,133,137,141,145,146,148,150,152,154,154,155,155,156,157,156,157,157,49,57,67,84,100,110,116,120,125,129,131,136,139,142,139,149,151,153,154,155,157,159,159,159,159,158,159,159,52,60,67,88,102,112,119,123,128,131,134,136,150,155,75,140,157,155,157,157,160,161,160,160,161,161,161,160,53,62,71,90,104,112,120,126,129,132,137,136,161,157,68,132,163,156,158,161,162,162,161,161,163,163,163,163,53,62,73,93,106,114,121,126,132,136,140,137,163,155,76,128,163,159,161,161,165,166,166,169,167,165,164,164,54,64,75,94,106,117,122,127,133,137,140,139,167,164,83,126,166,159,163,162,167,169,162,151,168,167,167,167,56,66,78,97,107,118,124,130,135,136,141,141,168,164,88,118,170,162,166,166,167,168,134,76,149,174,169,170,58,67,81,100,109,119,125,131,136,137,142,142,168,162,90,103,172,162,168,166,171,156,104,83,169,172,171,171,60,67,81,101,110,119,127,133,137,138,144,143,175,165,90,101,173,162,168,173,171,133,77,143,182,172,172,172,61,69,85,104,112,121,128,135,138,138,144,145,185,170,100,107,174,164,170,168,147,99,106,182,174,175,174,173,61,71,88,104,113,123,130,134,137,140,157,129,165,150,95,102,175,165,173,163,122,77,163,179,175,176,176,176,63,72,89,105,115,124,130,136,138,149,154,101,102,102,77,104,175,167,172,155,85,120,186,175,178,178,177,177,65,73,91,106,114,125,131,135,151,171,114,98,66,61,64,107,153,154,156,108,80,176,178,179,179,179,177,177,66,73,93,107,116,125,132,136,179,187,155,127,72,43,62,94,129,129,113,63,141,185,176,179,179,179,179,178,66,74,95,108,117,125,131,147,185,195,200,125,74,45,55,80,101,107,69,93,184,178,180,180,180,180,181,181,67,76,96,108,117,127,130,155,165,153,163,107,69,55,53,70,84,85,62,163,184,180,180,181,181,181,182,181,68,77,97,108,117,128,130,178,163,93,118,127,82,60,54,59,70,52,100,190,177,181,182,182,182,182,182,181,69,79,99,109,119,126,138,179,123,87,99,142,96,66,56,52,61,47,132,189,179,182,182,182,182,183,184,182,68,80,101,109,120,122,154,177,133,128,120,165,115,92,67,52,55,48,141,190,182,184,184,183,183,184,184,182,68,82,99,108,122,122,167,181,158,119,167,198,121,110,73,50,53,52,157,186,183,184,186,186,186,185,184,183,69,84,103,110,123,123,177,196,149,129,208,170,116,105,73,51,50,58,175,186,184,184,185,186,186,186,185,185,70,85,102,111,122,123,186,184,136,149,193,148,111,93,82,57,44,83,189,183,184,184,185,186,186,187,186,186,70,84,101,110,124,125,177,161,149,149,189,144,132,90,68,59,41,123,191,182,185,185,186,187,188,187,186,186,69,86,103,114,126,128,159,168,172,147,192,134,125,94,59,56,44,152,189,182,185,185,186,187,188,188,186,187,69,88,104,114,124,129,149,194,160,141,178,117,100,72,55,50,56,170,186,183,186,187,188,188,189,188,188,188,68,88,103,112,122,130,145,182,154,132,150,108,82,68,57,40,74,183,182,186,187,188,189,189,189,189,188,188,66,86,99,111,121,132,139,160,141,134,138,118,99,78,59,34,88,187,178,182,185,186,187,187,188,188,188,187,66,86,98,111,121,132,137,151,147,142,138,132,116,79,57,29,97,187,176,181,184,185,186,186,187,188,188,187
7,142,142,143,144,144,144,144,143,142,143,142,142,140,140,140,138,138,136,135,134,133,134,120,43,29,18,20,45,145,145,145,146,147,146,146,146,146,145,144,144,143,142,142,142,141,137,136,136,136,134,141,66,19,3,14,32,146,147,147,149,151,149,148,149,148,149,147,146,145,145,144,143,142,140,140,139,138,136,144,94,0,0,12,19,149,150,153,151,152,152,151,150,150,150,149,149,149,147,145,145,145,143,143,141,140,139,139,132,9,0,0,12,150,152,154,153,153,153,153,153,153,153,152,152,151,153,150,148,147,146,145,143,144,140,139,144,91,28,5,27,152,152,154,155,156,154,155,156,156,156,153,152,152,138,137,143,141,133,126,131,119,139,137,137,94,96,111,96,154,156,158,159,159,158,158,158,156,156,155,156,156,132,117,143,150,132,117,121,104,151,133,118,50,120,143,128,158,159,160,161,160,160,161,161,162,168,175,173,160,135,128,135,120,120,101,100,93,91,90,127,78,135,88,111,158,160,161,163,162,158,156,167,179,182,180,169,157,146,146,136,91,90,121,106,100,88,84,88,75,104,73,145,160,163,164,163,182,171,158,162,170,168,163,159,158,158,150,129,108,99,120,116,108,110,92,65,68,108,86,147,161,165,162,179,199,181,167,158,163,166,164,163,161,156,153,126,110,100,90,79,76,74,61,55,46,60,90,134,163,164,165,197,199,181,149,138,151,165,165,161,150,135,121,97,84,74,66,73,79,88,86,94,107,116,142,150,167,165,176,206,194,171,134,136,149,137,131,120,106,97,83,66,62,137,162,152,158,160,157,159,155,156,138,76,170,165,195,203,188,165,153,148,132,121,126,130,124,118,112,121,94,55,141,166,158,156,155,153,150,148,151,83,165,175,209,198,195,191,189,158,131,138,139,137,125,113,110,105,88,21,7,148,164,158,156,156,153,151,152,134,161,194,207,202,201,201,197,152,113,128,126,120,111,104,95,83,64,32,0,116,172,158,158,157,155,152,151,151,180,208,206,203,199,195,181,141,120,105,79,62,73,91,102,110,113,42,21,149,164,160,161,159,158,155,153,150,205,209,207,204,197,187,171,150,129,109,86,86,122,144,128,114,129,70,140,170,162,162,162,160,158,156,152,151,206,208,207,202,189,181,161,136,134,137,112,122,136,122,110,100,94,55,158,170,164,164,163,161,158,157,156,152,207,207,204,199,184,160,132,140,160,147,120,120,116,106,99,90,60,46,168,169,167,165,163,163,161,159,157,154,209,205,201,192,170,153,157,176,172,152,126,96,80,64,50,34,36,122,176,168,170,167,165,163,162,160,157,154,205,198,190,179,170,172,175,169,159,131,98,63,61,78,44,96,152,176,171,172,170,169,167,163,161,160,157,156,196,187,181,178,178,178,160,147,144,122,88,63,148,183,171,183,179,174,174,171,170,169,168,166,162,161,159,158,182,180,182,175,170,168,151,146,135,94,55,149,189,177,180,175,175,176,175,173,171,169,169,167,165,163,160,157,173,169,174,168,157,152,145,129,92,47,134,191,178,179,177,177,176,177,176,174,174,171,170,168,165,162,162,152,172,166,161,148,137,134,121,90,43,120,191,178,179,178,178,177,176,176,174,171,170,170,169,167,165,168,162,139,167,158,143,123,115,104,74,45,122,190,182,182,180,180,178,177,176,175,173,172,171,169,169,164,167,142,135,152,143,129,109,90,78,61,41,125,194,180,183,182,182,180,178,177,176,175,174,173,172,170,169,168,157,40,16,91
1,157,159,163,165,167,168,168,170,171,171,171,171,172,174,171,171,172,172,172,172,173,172,173,172,171,172,171,170,161,163,165,168,170,171,171,172,172,174,174,177,168,163,176,173,174,174,174,174,175,175,175,174,174,173,172,172,163,166,168,170,172,173,173,174,175,176,171,186,174,120,181,181,178,178,177,177,177,178,178,178,177,176,175,175,166,168,170,173,174,176,176,177,175,192,176,149,184,111,156,163,181,181,180,180,180,180,181,180,179,179,178,178,167,171,172,176,177,178,179,182,177,198,177,131,185,113,120,127,156,189,181,182,183,182,183,182,181,182,181,179,169,172,175,178,180,180,181,183,181,199,183,133,187,134,124,145,124,193,183,184,185,185,185,183,183,182,183,182,171,174,178,179,181,184,184,187,178,191,199,132,183,157,117,155,114,178,188,187,187,186,187,187,186,185,184,184,174,177,180,182,183,185,184,193,187,139,205,141,162,166,121,167,135,157,196,188,189,189,189,189,188,188,187,185,177,179,182,184,186,188,186,199,190,120,200,150,144,174,134,177,167,134,193,190,190,191,190,190,189,189,188,187,179,182,184,185,188,190,187,199,192,124,195,159,145,190,151,155,186,130,177,198,193,193,192,192,191,190,190,188,181,183,185,186,189,191,189,202,202,132,195,187,143,192,161,137,198,151,152,203,193,195,195,195,193,193,192,190,182,184,187,188,191,193,191,204,203,131,184,198,133,163,165,125,202,174,136,197,197,197,196,196,196,195,194,193,184,186,188,191,194,195,193,203,204,149,151,193,110,144,175,115,183,185,133,182,203,198,198,198,197,198,196,194,186,188,190,193,195,196,195,203,211,164,120,188,159,164,169,174,190,157,134,160,208,198,200,199,198,198,197,196,187,189,191,194,195,197,197,204,212,152,127,173,203,169,156,203,185,145,145,126,202,202,201,200,200,199,198,197,187,189,192,195,196,199,198,204,207,175,185,147,178,172,174,210,166,144,152,118,174,209,202,202,201,201,200,199,187,190,193,195,197,200,199,205,210,193,185,146,149,185,213,205,192,166,135,120,142,211,204,204,202,201,201,200,188,192,195,196,198,201,200,211,211,176,169,149,168,208,209,175,185,203,178,136,116,207,206,205,204,203,203,203,189,192,195,198,199,201,200,213,219,171,154,165,187,172,158,127,171,221,208,178,127,186,211,205,206,206,205,203,189,192,195,197,200,200,200,210,229,185,151,153,141,139,134,179,195,203,205,175,140,148,216,206,207,206,205,204,189,192,194,195,199,200,200,204,227,204,150,158,164,181,208,223,216,202,191,164,120,144,216,206,207,207,206,205,189,192,194,196,199,201,200,203,223,222,165,164,176,183,222,223,220,202,181,159,110,150,217,205,206,207,206,205,190,193,195,198,199,201,202,202,220,233,187,168,185,175,217,231,224,202,174,151,108,163,216,206,209,207,206,205,190,193,194,197,199,200,202,202,213,231,204,176,202,168,206,233,223,197,165,141,106,175,217,208,209,208,206,207,190,193,194,196,199,200,202,203,205,222,214,190,208,174,188,231,213,186,161,134,105,181,216,208,210,208,207,205,191,195,198,200,203,206,206,209,207,215,219,206,200,184,165,221,210,183,154,128,104,193,218,211,209,208,209,209,132,136,139,144,147,150,152,156,153,181,226,213,193,180,155,192,203,172,142,122,114,192,200,203,211,214,210,207,115,114,114,116,116,116,118,119,111,141,220,200,184,171,151,168,187,160,133,120,119,128,160,206,203,200,215,206
4,158,162,164,166,169,171,173,176,176,178,178,179,182,182,182,183,181,181,179,180,180,179,179,178,178,178,177,176,159,162,165,168,170,172,174,176,178,180,180,184,184,182,180,180,186,182,183,182,182,180,180,179,179,178,178,177,161,164,167,169,172,173,176,178,179,179,179,175,181,195,179,141,151,189,183,183,183,181,181,180,181,180,178,178,162,165,167,170,173,176,178,180,178,193,186,153,143,212,187,144,102,189,189,187,184,184,183,182,183,182,180,180,163,167,170,172,175,178,178,178,174,218,208,166,117,186,192,146,95,140,157,169,190,184,184,184,184,183,182,181,164,168,172,174,176,175,186,202,183,160,207,186,128,160,199,146,78,95,145,112,161,192,184,186,185,184,183,182,165,168,172,175,178,178,209,216,189,117,182,189,123,135,187,132,74,102,149,116,93,189,188,187,185,185,183,183,166,169,173,176,177,181,205,197,180,113,167,171,115,108,155,121,70,121,159,121,79,179,192,187,186,186,185,184,166,171,174,175,177,178,204,180,182,117,151,160,113,84,128,110,82,172,165,111,80,182,192,187,186,187,186,184,167,171,174,176,179,179,209,174,165,153,137,164,144,88,114,91,90,171,136,83,80,191,191,187,187,188,186,185,169,172,175,178,180,181,216,203,170,131,98,177,160,155,144,134,136,157,148,101,82,195,192,190,189,189,188,186,169,173,177,178,179,185,219,197,166,123,91,107,111,168,148,162,179,190,182,124,98,198,192,192,190,190,189,188,170,174,177,179,179,192,217,176,140,118,100,86,79,112,149,160,172,179,166,123,94,189,193,192,191,189,190,189,170,174,177,181,178,199,216,179,146,114,92,90,99,99,122,138,137,145,152,134,85,160,200,191,191,190,191,190,170,174,178,181,177,205,216,183,146,117,102,97,104,127,120,125,148,155,166,146,94,126,206,191,192,191,190,190,171,175,178,182,180,210,212,177,138,111,104,97,100,135,132,166,189,189,193,159,114,89,192,196,193,193,191,191,172,175,179,182,182,212,210,176,140,117,105,105,107,132,149,196,207,200,204,171,126,75,155,205,193,196,193,193,173,175,179,183,182,210,203,177,145,130,118,110,109,130,192,205,209,192,186,159,121,75,148,207,194,195,194,193,173,175,178,182,182,207,197,177,151,132,118,113,116,169,216,212,199,182,158,136,100,83,185,200,195,195,194,193,172,174,178,182,180,205,204,180,142,121,114,122,141,205,217,208,183,160,136,111,77,129,204,195,195,195,194,192,173,174,178,181,181,201,210,181,151,148,130,131,162,214,209,194,168,144,119,90,82,189,199,196,195,195,194,192,172,175,178,182,183,194,205,188,165,160,141,117,175,213,195,175,151,129,104,70,134,208,196,197,196,196,194,193,173,176,178,182,184,193,210,191,166,161,143,117,184,201,176,153,128,108,86,79,192,201,197,196,196,196,194,193,173,176,178,184,180,196,217,199,173,155,131,118,180,182,156,133,107,95,62,136,208,196,197,197,197,197,194,193,174,176,179,184,176,214,215,190,163,140,109,125,168,151,119,103,90,69,89,197,198,197,197,197,197,196,194,192,175,177,182,179,191,224,207,190,169,133,119,140,150,115,93,89,80,77,182,204,198,200,199,199,198,198,196,196,164,166,169,165,210,214,207,195,166,141,134,138,133,103,95,99,74,141,191,184,187,187,186,187,187,187,186,186,116,116,108,139,218,198,189,179,149,138,149,121,109,96,92,88,80,110,112,112,111,110,110,111,111,114,115,113
5,112,115,119,122,126,129,131,133,134,136,138,138,138,139,138,138,138,139,138,136,137,136,135,134,132,132,132,131,113,118,121,124,128,131,133,136,136,138,139,140,140,140,140,140,139,139,139,140,138,139,137,136,135,134,134,133,115,120,124,128,131,132,135,137,138,140,141,142,144,142,143,142,140,150,92,124,144,139,140,139,138,138,134,133,117,122,126,129,132,133,136,139,141,140,150,131,97,149,144,142,154,141,67,120,148,142,141,140,140,139,137,135,119,124,128,131,134,136,138,141,144,140,159,122,70,149,147,147,162,94,82,150,145,145,144,143,141,140,139,139,120,125,129,132,136,137,143,144,145,141,172,95,90,158,146,160,134,60,124,153,146,146,145,145,144,143,141,141,122,126,131,134,136,148,116,136,148,152,173,66,118,159,152,158,95,82,156,150,148,148,148,147,147,145,144,144,124,128,132,137,136,160,99,102,152,166,158,61,140,157,155,126,69,132,159,152,152,151,151,150,149,148,147,147,125,130,133,138,139,157,126,79,155,169,119,72,152,151,145,76,92,162,155,155,154,153,153,153,151,151,149,149,127,131,135,139,140,151,148,71,149,157,77,88,161,139,133,64,128,165,156,156,156,156,155,154,153,154,153,151,128,133,137,141,145,146,168,96,121,157,86,91,151,130,117,72,147,163,158,161,161,159,156,155,155,154,155,154,130,135,139,143,146,146,168,131,87,151,98,81,111,118,89,86,164,162,158,144,148,160,162,157,156,155,156,156,131,135,141,143,148,149,160,162,109,97,98,81,90,109,73,101,168,151,151,154,146,137,137,162,158,158,157,156,132,137,143,146,150,153,153,163,149,102,89,95,89,95,72,94,133,147,137,137,148,150,111,136,166,159,159,158,134,139,143,147,150,153,155,155,171,151,107,91,77,77,69,91,102,110,93,81,117,129,135,97,138,164,160,160,134,138,142,147,151,154,159,156,183,184,125,88,74,69,66,84,91,71,98,147,169,160,139,135,101,161,162,161,135,140,146,149,153,154,159,157,172,198,140,87,71,69,68,78,75,97,171,170,168,160,150,110,125,170,162,164,136,141,147,150,153,155,160,160,164,199,139,91,73,68,65,79,62,123,182,166,168,145,127,80,149,170,165,166,137,142,147,151,155,157,161,160,161,186,133,94,75,64,63,81,82,93,142,175,161,140,105,74,151,171,166,166,139,143,147,152,155,158,161,161,159,190,136,96,81,66,65,78,88,103,103,109,140,140,90,96,168,169,168,167,138,143,147,153,155,158,162,161,162,188,134,107,90,69,63,81,94,110,120,94,126,125,88,138,175,169,169,168,139,144,149,153,156,160,163,161,164,179,136,115,92,72,62,88,109,117,122,100,98,109,102,171,170,170,170,169,140,145,150,154,158,160,164,162,161,178,140,116,91,75,63,91,112,114,111,94,85,87,140,178,170,171,169,169,140,146,152,155,159,160,165,163,164,172,136,112,93,79,71,86,103,102,100,86,91,141,175,174,173,173,171,171,142,147,152,156,159,161,165,162,177,174,130,109,98,81,78,87,99,99,90,90,158,180,174,174,174,174,173,173,142,148,152,157,160,161,166,159,183,183,143,115,94,82,78,85,91,85,86,141,180,173,174,174,174,174,174,173,142,148,153,156,160,161,167,161,181,173,140,102,80,83,84,86,87,99,153,179,175,176,176,175,175,175,174,173,143,148,152,156,160,162,166,166,181,170,143,102,79,83,83,82,100,167,184,176,176,176,176,176,175,175,174,173
5,144,146,148,151,153,153,153,153,155,150,169,111,122,157,150,150,149,147,148,150,145,145,144,141,146,67,9,16,147,148,150,153,154,154,156,155,156,151,185,86,85,163,151,152,151,154,142,132,150,145,145,153,111,9,24,41,149,151,153,154,156,157,158,158,161,159,185,76,105,165,153,154,150,165,113,68,157,146,147,145,49,5,28,50,149,154,155,156,158,159,161,159,141,174,165,64,136,164,155,154,155,143,68,83,159,146,155,118,19,14,26,42,151,154,157,158,160,162,166,177,68,167,147,63,155,162,158,160,136,97,53,143,156,149,159,86,12,29,45,54,153,155,158,160,163,166,162,186,73,137,144,70,165,161,164,145,106,54,111,163,153,152,159,100,25,40,44,51,154,158,160,162,164,167,163,194,104,107,123,80,171,167,142,111,74,80,167,157,156,153,161,124,37,45,41,33,156,159,161,164,167,168,168,182,117,92,90,101,180,139,93,82,58,146,166,159,158,156,157,145,45,29,23,25,159,161,164,165,168,170,167,186,136,79,63,124,168,91,69,50,122,170,160,161,160,158,157,165,78,0,8,29,160,163,166,166,169,171,168,193,161,86,75,111,128,73,54,87,177,163,164,163,162,161,159,167,108,12,14,10,162,164,166,168,173,173,172,187,159,85,78,84,92,74,52,128,176,167,164,163,164,162,160,165,138,98,98,55,164,167,168,171,174,173,174,177,155,86,61,59,65,64,62,165,175,159,165,169,166,165,162,165,149,66,137,137,166,169,170,173,174,176,175,177,165,111,68,58,48,44,101,174,118,86,98,159,174,167,164,165,142,85,152,104,167,169,171,174,176,178,177,175,174,133,71,50,49,42,78,87,70,92,94,104,136,164,166,170,165,129,77,86,168,170,172,174,177,178,179,175,185,156,98,56,48,51,46,58,76,69,103,128,115,130,139,136,147,166,100,127,169,171,174,175,177,179,180,180,193,180,138,77,49,50,60,48,40,49,92,91,114,127,120,81,81,148,150,142,169,172,175,177,181,181,182,181,194,193,156,87,51,44,54,39,86,154,168,133,121,97,116,116,97,61,150,152,171,173,175,178,181,182,182,182,199,204,158,92,56,45,30,95,200,176,180,177,131,128,137,111,82,98,160,90,171,174,177,180,182,183,184,183,204,209,163,100,60,39,20,67,136,189,167,109,109,133,101,72,142,171,171,122,172,174,177,180,183,184,185,184,203,212,167,106,65,32,31,43,49,133,93,100,123,90,48,141,179,165,167,162,173,175,178,181,183,185,185,189,206,208,162,106,67,31,32,50,57,41,68,107,87,58,131,177,168,169,167,166,173,176,178,182,183,186,184,189,211,204,157,106,67,33,35,54,60,64,74,81,67,152,184,171,171,170,167,166,174,175,177,180,182,184,182,188,210,199,147,101,67,36,40,63,65,69,60,53,150,183,173,173,170,169,167,165,174,177,178,181,183,185,183,191,204,187,138,102,68,33,44,69,72,67,49,137,184,172,176,174,171,168,168,166,174,177,179,182,183,184,177,199,204,178,139,108,64,32,39,67,76,53,87,191,173,176,176,175,172,169,170,168,174,176,178,181,185,177,182,211,203,173,140,108,65,39,40,69,72,40,141,184,175,177,175,175,172,170,170,168,175,177,180,182,185,169,205,213,195,166,144,106,60,42,52,73,45,81,186,177,177,177,176,174,172,171,170,166,174,177,181,187,172,175,216,206,180,160,142,98,54,43,55,55,51,166,184,179,177,176,176,175,174,172,172,157
6,153,156,158,160,162,163,164,166,165,165,165,164,163,161,160,161,158,157,155,153,152,151,147,145,144,142,139,137,154,156,161,163,164,165,165,167,167,168,166,164,163,163,163,162,161,159,155,155,155,153,151,147,146,143,141,139,156,160,164,165,165,167,169,170,170,170,168,167,168,165,164,162,163,161,159,157,155,155,153,150,147,145,143,141,158,162,165,166,167,169,170,171,171,171,170,169,168,167,165,164,163,163,162,160,158,155,154,152,149,147,145,144,160,164,167,167,169,172,171,171,173,172,172,170,170,169,169,167,165,164,162,162,159,156,155,153,150,148,146,145,159,164,167,169,171,172,172,173,173,173,173,173,173,171,169,168,166,164,162,163,161,159,157,157,153,149,149,146,160,164,168,170,172,172,172,173,173,173,173,172,173,172,171,172,172,172,169,166,166,165,162,155,150,145,143,145,162,165,168,171,173,173,172,174,174,174,178,179,180,177,173,165,155,138,122,105,89,100,102,92,76,97,126,107,162,167,170,171,172,174,177,180,179,175,160,142,128,123,116,109,99,91,79,68,57,73,71,75,72,75,92,69,163,167,172,175,177,171,157,142,133,121,102,90,83,87,92,102,100,92,67,58,47,42,43,49,46,47,71,115,168,171,168,156,142,114,99,98,95,92,88,72,48,53,58,46,43,45,51,65,82,102,115,127,132,144,157,157,145,125,113,111,109,103,101,101,99,98,95,82,36,12,1,61,112,134,156,169,178,176,173,170,167,161,155,152,119,110,114,119,116,112,110,111,111,111,107,90,40,22,15,123,179,193,185,173,168,165,164,164,162,159,156,155,122,119,115,113,110,106,103,99,101,105,91,55,23,26,35,22,34,83,150,181,171,170,168,165,162,159,157,156,125,120,115,111,107,101,95,90,84,81,66,37,22,30,38,39,33,16,16,112,180,170,168,165,163,161,160,157,121,116,111,106,103,95,91,87,83,92,88,52,13,5,24,44,47,44,24,33,178,171,171,168,164,162,161,156,114,108,103,96,92,87,86,79,83,97,101,57,18,10,3,0,12,33,9,78,185,171,170,169,166,164,161,159,109,104,92,84,85,81,78,66,69,78,61,33,25,29,30,15,0,17,102,173,177,174,172,170,167,164,162,160,93,93,86,76,73,69,64,54,50,56,37,11,14,28,32,29,14,38,186,180,176,173,171,170,168,165,162,161,82,90,84,75,67,64,62,58,62,66,45,4,0,8,24,33,19,6,161,181,174,173,171,170,169,167,162,161,66,82,85,81,71,59,55,61,72,66,39,17,22,19,5,8,25,101,186,177,178,176,173,171,169,166,162,161,26,41,57,69,65,56,50,49,46,30,16,13,16,20,0,54,175,188,181,180,178,175,174,172,169,166,163,163,0,43,104,63,40,45,51,59,60,77,102,98,57,30,51,158,194,179,182,181,178,177,174,171,171,170,166,162,0,129,198,175,159,168,176,183,187,195,198,198,191,176,192,188,180,182,181,179,177,175,173,170,169,168,165,161,1,172,173,177,183,184,183,185,185,183,183,183,185,188,183,180,181,180,180,178,175,173,171,168,166,165,162,160,114,181,173,175,178,180,181,184,186,186,186,186,185,184,183,182,181,180,178,177,175,172,170,168,167,164,163,161,173,170,174,177,179,180,183,185,186,186,186,186,186,186,185,182,181,179,178,177,175,173,171,169,166,163,162,161,164,171,175,177,178,181,182,184,184,185,185,185,185,185,185,183,180,179,178,177,175,173,170,166,166,163,160,159
18,145,146,148,150,153,157,161,165,167,170,173,174,176,179,180,181,183,183,184,185,186,186,187,187,186,186,186,185,145,147,149,151,154,158,162,165,169,172,174,175,177,179,180,182,184,184,186,187,188,188,188,188,187,187,186,187,146,148,150,151,154,160,164,167,171,173,175,177,179,181,182,184,185,185,186,187,188,188,188,187,189,189,187,187,146,149,151,152,156,160,165,169,172,174,176,178,180,182,183,185,186,186,187,188,188,191,185,153,182,189,189,189,147,150,152,154,157,160,165,170,173,175,177,179,181,184,185,186,186,186,188,190,188,202,186,122,138,190,192,190,149,151,152,154,158,162,167,171,174,176,179,181,182,185,186,186,187,186,186,191,182,195,191,138,111,143,172,188,150,152,153,155,160,164,168,172,175,177,180,182,183,186,187,187,191,169,149,163,173,175,203,174,138,110,109,139,150,153,154,156,160,165,169,172,175,177,179,181,184,184,172,185,198,165,143,110,150,170,204,187,152,137,131,106,150,153,155,157,160,165,169,173,177,179,180,180,192,189,154,131,181,173,152,111,128,164,179,179,167,152,136,117,152,153,156,158,162,165,170,174,178,181,181,188,206,196,169,120,156,184,152,117,98,150,136,133,166,163,140,125,152,154,157,160,163,167,171,176,179,181,182,209,220,202,176,134,130,184,154,119,81,118,113,92,183,184,153,131,153,156,157,160,165,169,172,177,181,183,187,213,220,206,179,140,108,170,145,109,69,76,87,83,178,196,164,132,154,157,158,160,165,169,173,177,181,181,198,221,211,190,176,133,94,134,119,95,67,53,65,67,170,193,170,133,154,157,158,161,166,170,174,178,181,186,217,216,199,166,141,108,85,108,103,88,58,61,110,112,182,197,161,131,156,158,159,162,167,171,175,179,180,199,223,198,180,154,103,90,82,106,112,89,93,163,186,161,161,176,145,124,157,159,160,163,168,173,177,180,182,198,235,213,175,137,107,105,83,127,144,139,188,200,187,168,129,152,132,119,158,159,160,164,169,174,178,182,184,197,236,221,187,141,127,122,89,139,175,202,208,188,168,165,131,131,131,115,157,160,161,165,169,175,179,183,184,204,236,223,195,167,150,145,127,149,213,215,194,173,158,160,151,119,125,104,158,160,161,165,170,175,180,184,185,211,235,217,184,168,146,137,158,212,219,200,183,172,164,161,155,121,110,91,159,161,162,166,171,176,180,184,185,215,233,210,184,169,148,150,190,224,213,191,183,177,157,157,148,116,92,73,160,162,163,167,173,177,181,184,186,217,229,209,187,182,155,179,198,212,202,183,180,165,143,153,136,105,81,59,161,163,164,168,173,177,181,185,187,217,226,212,201,187,160,171,191,191,189,172,168,151,143,147,118,90,68,106,161,163,165,168,173,178,182,186,188,214,222,211,206,178,154,151,175,176,176,167,159,145,139,120,95,75,84,181,161,162,165,169,174,179,183,187,189,213,223,213,201,166,136,153,164,172,174,164,154,136,118,92,77,68,154,209,161,163,165,170,174,179,183,188,190,209,218,211,183,148,137,160,163,174,174,162,142,126,103,84,67,113,204,209,163,163,164,169,174,180,183,187,190,211,208,198,183,172,167,165,162,177,169,150,126,112,95,74,80,183,211,209,163,163,165,170,175,181,185,187,195,223,220,213,207,195,180,164,156,172,161,139,115,99,82,75,162,211,210,211,163,164,167,172,177,163,155,181,200,226,221,219,209,193,172,163,153,164,153,131,110,91,72,130,212,212,212,212
14,134,138,142,145,148,151,152,154,157,159,160,162,165,165,166,166,168,169,171,172,173,173,173,175,175,175,176,176,135,139,142,146,149,152,154,156,158,159,162,164,167,167,168,169,172,172,172,174,174,174,175,176,176,175,176,177,136,140,145,149,150,152,155,157,159,159,162,163,165,169,150,146,158,163,173,176,177,176,176,176,176,175,178,179,138,141,145,149,151,153,156,159,160,160,167,170,170,159,113,104,144,152,165,146,158,180,178,177,177,176,179,179,138,141,145,149,151,155,157,158,162,177,179,161,140,123,105,97,133,153,144,102,128,184,179,180,180,180,180,180,139,143,146,150,152,155,156,163,189,189,158,106,87,91,103,100,113,122,118,90,90,172,181,181,182,182,181,181,140,143,148,152,154,156,157,194,192,160,122,79,59,65,86,100,124,120,125,129,110,141,176,182,183,183,182,182,140,144,148,152,156,155,167,204,156,106,76,79,72,87,95,72,89,110,117,141,148,126,133,187,183,183,183,183,142,146,150,153,156,154,189,190,127,77,68,79,74,102,94,76,97,110,122,117,120,95,100,183,185,184,184,184,143,147,151,153,155,160,205,168,114,68,65,66,69,85,76,99,112,83,120,135,129,117,107,132,186,186,185,185,143,147,150,153,154,178,199,145,88,64,72,79,77,68,72,104,104,96,173,187,177,144,123,105,147,179,186,185,144,149,151,155,156,197,176,124,90,83,78,84,82,83,86,79,97,163,186,185,186,185,154,144,117,170,189,187,144,149,152,154,170,207,168,126,105,85,78,81,82,90,93,77,146,189,184,184,188,173,158,144,113,185,187,187,144,149,153,153,195,204,162,122,96,81,76,76,81,88,85,102,184,185,185,186,186,162,159,118,139,192,188,188,144,149,153,154,202,192,154,121,86,75,74,78,85,85,75,121,189,183,186,188,181,155,152,101,143,194,189,189,145,150,154,156,207,188,145,107,78,74,77,81,86,76,71,105,183,187,188,185,148,150,147,104,127,194,189,189,145,151,153,163,211,179,144,110,82,77,80,85,89,88,94,102,136,176,179,161,158,158,143,103,138,195,189,189,146,151,153,174,211,176,142,108,84,76,79,90,94,102,117,125,119,117,140,160,168,159,126,127,185,190,189,189,146,152,151,187,207,173,141,107,86,78,80,90,100,114,127,136,138,128,158,164,161,136,131,187,192,190,189,190,146,151,150,196,200,171,141,113,91,80,83,94,114,128,140,140,141,137,153,156,130,130,186,194,192,192,191,190,146,151,152,203,193,168,141,116,97,82,82,103,130,142,151,150,141,137,131,126,118,183,194,192,193,192,191,191,146,151,156,203,185,164,139,121,100,84,83,112,144,149,149,149,145,132,102,107,176,192,191,192,192,192,192,192,147,151,163,199,178,159,142,125,103,87,86,120,150,147,146,145,143,113,113,177,193,191,192,193,193,193,193,192,148,151,169,196,172,160,149,127,109,93,90,118,150,146,132,138,122,113,182,193,191,192,193,194,194,193,193,192,147,149,180,197,174,167,152,129,111,100,88,109,140,133,121,121,110,172,195,192,192,192,193,193,193,193,193,193,147,149,196,197,179,171,151,128,112,98,87,101,123,116,120,100,160,193,191,192,192,192,193,194,193,193,194,194,148,156,207,193,184,169,139,119,105,91,89,100,106,102,117,158,193,189,191,193,193,194,194,194,194,194,194,194,145,172,206,184,180,159,122,110,98,89,95,96,90,106,165,192,190,189,191,194,194,195,195,194,194,194,194,194
17,143,144,146,148,151,153,154,156,157,157,159,160,161,162,164,165,165,166,166,167,167,168,168,168,167,168,168,168,144,145,147,150,152,153,155,157,158,159,160,161,162,164,164,166,166,167,167,167,168,168,169,169,169,170,170,169,145,147,149,152,154,155,156,158,159,160,161,162,164,165,166,166,167,168,168,168,170,170,170,170,171,171,171,171,146,148,151,153,154,156,157,159,160,161,163,163,165,166,167,168,169,170,170,171,171,171,171,172,171,172,172,172,146,148,151,153,155,157,158,159,161,162,164,165,166,167,168,169,170,170,166,166,165,165,172,173,172,173,173,173,147,149,151,153,156,158,159,161,162,163,165,166,167,168,169,170,171,171,157,139,132,138,168,174,174,174,174,174,148,150,152,154,156,159,160,162,163,165,166,167,168,169,170,171,172,176,165,125,100,118,166,174,175,175,175,175,149,151,153,156,157,159,161,163,165,167,168,169,170,170,171,172,173,179,174,134,96,120,170,176,176,175,175,175,150,152,154,156,158,160,162,164,166,167,168,169,170,167,169,173,174,179,180,146,107,134,175,177,176,176,176,176,150,152,155,157,159,161,163,164,165,167,168,169,170,158,149,165,174,181,182,149,119,152,177,179,178,177,177,177,151,153,156,158,160,162,164,165,166,167,167,167,173,162,139,144,165,180,179,147,123,159,179,179,179,178,178,177,151,153,156,158,161,163,165,165,168,171,161,150,167,174,163,150,141,152,165,144,123,160,180,180,179,179,178,178,152,154,157,159,161,164,166,166,172,178,159,135,152,170,180,171,138,116,135,134,122,160,181,181,180,179,179,179,152,155,158,160,162,165,166,168,175,169,158,141,135,134,161,183,156,114,110,117,115,158,181,181,180,180,180,180,153,156,159,161,163,165,167,169,177,157,137,129,110,95,128,187,174,127,99,101,107,156,181,182,181,181,181,180,154,156,158,161,163,165,167,172,177,152,129,127,111,104,126,187,185,142,101,93,101,153,181,182,182,182,181,181,154,156,159,162,164,166,168,176,180,160,143,134,124,130,142,185,187,152,109,91,99,150,182,183,183,183,182,182,155,157,159,162,164,167,169,180,176,153,140,134,134,149,172,188,178,153,114,89,96,150,182,183,184,184,183,183,156,157,160,162,165,167,171,184,171,148,137,136,144,168,198,191,167,146,111,86,93,152,184,184,184,184,184,184,156,158,160,163,166,168,173,188,173,152,139,138,154,189,202,187,160,137,107,84,96,159,184,185,184,184,184,184,156,158,160,163,166,167,176,192,177,159,143,143,171,201,197,181,153,130,102,84,109,171,185,185,184,184,184,184,156,158,161,164,167,168,180,195,179,166,153,150,182,202,192,176,147,121,97,88,133,180,185,185,185,184,184,183,156,158,162,165,168,169,183,199,184,174,164,157,184,196,185,172,144,114,93,100,158,184,185,186,186,186,185,184,156,159,163,166,168,169,182,202,189,179,170,163,178,188,181,168,140,109,91,122,177,186,185,186,187,186,185,185,157,159,163,166,169,170,180,201,192,178,168,165,172,180,177,169,138,105,93,142,183,185,185,186,186,186,186,186,157,160,163,166,169,171,178,197,190,176,165,165,170,173,174,169,136,104,100,156,186,187,187,187,187,186,186,187,157,160,162,165,168,170,178,196,189,177,165,165,171,171,172,163,130,103,116,172,188,188,188,188,187,187,187,187,157,159,161,165,168,170,180,199,194,179,169,169,173,168,168,154,121,102,136,182,188,188,187,188,188,188,188,187
12,176,178,180,183,184,185,189,192,192,193,193,194,195,194,194,196,194,194,195,195,195,193,194,193,192,191,191,191,178,181,182,185,186,187,190,193,195,195,195,195,196,197,197,197,197,196,198,198,197,195,195,194,194,193,192,192,179,182,184,186,188,189,192,192,195,197,197,197,198,199,197,199,199,199,199,200,199,199,199,197,196,195,194,194,179,181,185,187,188,190,193,194,195,197,198,200,201,199,199,201,202,200,199,200,201,201,200,199,198,198,196,196,181,184,187,188,191,192,195,196,197,200,201,202,201,200,205,204,201,201,204,203,200,201,200,200,199,199,199,197,182,184,187,190,193,194,197,198,199,201,201,200,202,201,188,198,208,194,170,194,205,200,200,201,202,201,201,200,184,186,188,191,193,196,199,201,202,201,203,199,223,222,167,161,232,187,125,131,215,204,209,202,202,203,203,202,185,188,191,193,194,195,198,201,202,202,202,201,251,232,178,152,226,183,124,86,171,158,166,210,203,204,204,204,188,190,193,194,197,198,199,201,201,204,213,168,180,220,171,141,219,177,117,95,189,147,83,173,212,203,206,207,187,190,192,195,198,200,202,204,198,234,224,183,118,169,165,129,213,177,106,136,201,158,93,118,219,205,206,206,187,190,192,195,199,201,203,202,215,252,239,194,134,117,187,128,230,215,136,164,207,170,96,108,218,208,207,206,188,193,194,197,200,202,204,199,236,221,232,197,137,103,203,133,202,203,111,174,244,186,89,111,219,208,209,209,190,193,196,199,200,204,205,204,246,213,218,198,136,85,127,115,82,148,128,172,194,125,63,119,220,208,209,210,193,195,197,199,202,206,202,232,246,194,204,192,139,90,66,69,64,179,220,203,172,146,74,129,222,208,211,210,194,196,199,202,203,205,205,248,228,175,181,187,140,100,85,89,179,208,196,186,162,150,99,151,225,211,213,210,194,196,200,203,205,205,216,248,218,190,157,177,181,100,75,203,234,204,186,171,137,121,97,156,224,211,214,212,195,197,201,204,207,204,231,248,222,203,164,141,153,100,155,248,231,200,181,161,127,115,87,167,226,214,215,214,197,200,201,205,209,203,239,247,222,197,186,149,146,170,231,245,229,192,173,148,118,108,82,185,224,215,216,215,198,200,203,207,210,205,240,246,224,205,193,165,168,178,237,244,221,185,162,139,113,107,72,173,227,214,217,216,200,201,204,207,210,206,237,251,230,214,203,179,157,191,241,237,209,183,153,127,108,99,73,196,225,215,217,216,200,203,206,207,211,208,231,251,231,214,202,184,164,215,233,217,197,175,146,119,106,75,141,229,217,217,217,218,201,204,207,209,211,210,225,248,223,209,191,175,185,221,206,201,182,160,134,113,82,126,226,221,219,219,220,218,202,205,207,209,212,210,231,244,217,208,187,185,206,217,193,192,171,146,127,95,121,222,223,222,222,221,220,220,204,206,209,211,215,208,240,243,225,217,201,200,216,215,190,181,160,142,111,100,211,226,222,223,221,221,221,222,204,207,210,212,216,208,255,252,238,219,208,214,216,200,186,156,142,125,90,168,229,224,225,223,223,223,222,221,204,208,210,212,213,214,255,250,248,225,217,215,202,189,166,137,131,92,140,227,227,227,225,224,224,224,223,222,205,209,211,214,211,218,249,235,240,218,214,202,195,171,150,134,112,102,208,230,227,229,227,225,224,224,224,223,206,209,213,216,208,224,244,217,213,202,201,204,187,156,151,129,93,148,229,229,229,229,228,227,225,225,225,224
7,212,212,211,212,212,212,212,212,211,211,210,209,207,207,205,205,204,202,201,199,195,194,194,190,189,187,184,181,214,214,214,213,214,215,215,214,213,213,213,212,211,210,208,206,205,203,203,201,199,197,196,193,191,189,188,183,215,214,216,216,216,216,217,218,216,215,216,214,214,213,211,209,208,206,205,204,202,199,196,196,195,192,190,187,217,216,218,219,219,218,218,219,218,218,216,216,215,214,213,211,210,208,206,206,206,205,203,202,199,195,193,189,219,219,220,220,220,220,220,220,220,221,218,216,216,214,215,216,217,215,213,206,200,189,182,180,187,200,195,193,221,221,222,221,221,221,221,220,221,223,224,223,224,220,215,199,179,167,154,161,144,119,151,185,147,188,200,194,223,222,222,223,222,223,224,227,227,219,211,199,180,163,146,144,123,111,129,120,115,110,132,147,123,196,202,195,224,224,224,224,224,227,219,193,166,150,140,143,141,135,133,127,112,94,100,86,90,83,62,89,137,161,190,201,226,226,225,226,230,211,178,154,122,123,136,129,130,123,121,100,97,106,93,89,97,87,85,79,66,82,116,197,224,224,228,227,199,178,178,156,112,101,95,90,96,104,116,127,134,135,98,73,101,87,73,65,48,78,81,185,224,229,219,184,172,178,172,155,136,118,114,121,136,145,140,141,127,116,82,53,60,47,44,53,57,76,135,204,230,219,179,169,174,172,163,163,157,142,140,132,136,129,113,104,88,72,53,64,103,136,163,181,197,205,210,204,222,179,170,173,175,166,172,169,147,103,78,87,91,75,65,100,116,139,169,203,225,227,223,219,215,210,206,205,184,178,178,178,174,174,169,146,120,60,51,60,45,38,27,109,233,236,232,226,219,215,213,213,213,211,206,205,179,184,181,177,176,165,137,130,102,62,48,32,28,29,31,3,128,237,219,221,220,218,215,215,213,210,207,205,181,182,178,182,170,146,133,125,118,120,94,39,29,35,22,35,175,228,220,220,218,217,213,212,209,206,210,208,174,179,186,181,157,132,122,116,128,140,93,36,31,25,37,174,238,222,222,221,220,216,213,213,217,218,195,109,176,184,182,160,124,107,107,103,110,99,51,26,24,1,107,250,221,225,222,221,218,223,226,212,179,123,65,36,177,176,155,126,114,113,112,97,88,72,52,33,31,7,101,239,221,229,229,228,233,193,137,90,50,32,28,36,168,148,126,124,123,118,107,76,59,71,75,45,20,65,220,241,233,207,195,193,151,72,40,27,33,32,33,34,139,125,126,119,103,83,62,55,67,88,72,28,48,180,195,170,119,59,52,46,36,32,47,33,17,25,31,35,128,128,114,87,72,68,66,70,69,58,35,58,86,77,64,61,21,17,33,16,33,22,23,30,3,15,25,33,129,121,97,86,86,82,71,57,46,42,84,100,70,55,49,45,38,2,27,14,17,15,15,16,0,7,19,29,112,86,73,72,68,62,51,48,69,98,102,69,49,42,34,25,25,5,6,16,6,10,11,6,0,1,19,26,61,36,48,55,62,66,75,95,109,96,47,40,37,31,19,24,18,11,0,11,1,4,9,0,0,4,16,24,22,67,103,105,113,109,105,104,96,63,34,18,28,28,13,17,12,12,0,0,4,1,10,0,0,6,13,20,41,108,110,106,113,104,101,96,71,26,22,14,12,24,5,9,0,6,0,0,2,0,9,0,0,6,13,18,58,109,109,105,106,104,96,77,39,3,23,17,0,19,0,6,0,3,0,0,0,2,5,0,4,5,15,15
4,144,148,151,154,157,159,162,163,165,168,169,170,171,172,173,174,174,173,172,173,172,171,171,170,170,170,170,169,145,149,152,156,158,160,163,164,166,169,171,172,172,175,174,174,175,178,176,173,174,174,173,172,171,171,171,170,147,151,154,157,159,162,164,166,168,170,171,171,171,174,177,182,161,140,167,178,176,175,174,174,173,173,172,171,147,151,155,158,160,162,164,167,171,174,172,179,166,138,168,205,167,118,114,189,177,176,176,175,175,175,174,172,148,152,156,159,163,164,166,169,170,167,182,213,179,137,126,206,169,127,99,165,163,178,179,176,175,175,175,173,150,153,157,160,163,165,167,168,178,177,167,201,191,150,111,192,174,124,69,109,133,123,179,179,177,176,176,175,151,155,158,162,165,167,167,175,206,204,153,138,202,165,109,176,177,119,61,111,143,94,122,187,177,179,177,176,150,155,158,161,165,170,167,186,203,194,142,117,191,151,97,147,157,103,62,118,144,102,83,184,180,179,178,178,151,155,159,164,165,168,168,185,186,185,140,107,172,138,91,111,135,97,74,147,150,100,81,184,181,178,178,178,153,157,160,164,166,170,168,186,181,166,149,116,155,134,94,76,117,75,102,179,138,83,87,188,181,179,178,180,153,157,161,165,168,172,169,187,198,168,154,133,131,167,121,97,115,83,106,145,113,63,90,191,182,183,181,180,154,159,162,166,168,171,170,191,209,184,147,95,102,165,138,159,135,140,145,158,147,90,95,194,181,184,182,181,155,159,163,166,168,172,170,199,204,167,135,103,84,86,103,158,138,161,175,184,167,103,105,194,182,185,183,182,155,159,163,167,169,172,171,205,191,147,119,98,83,79,77,114,141,151,162,165,147,106,90,185,185,185,183,183,155,160,164,167,170,173,174,209,194,159,131,100,87,88,101,103,113,126,129,135,139,121,77,161,192,183,183,183,156,160,164,168,170,172,179,211,191,157,121,101,93,88,100,125,112,142,153,151,153,132,84,121,198,183,185,184,157,161,166,169,171,173,182,210,189,152,118,99,97,90,107,131,136,185,183,188,179,142,101,78,184,189,187,186,158,163,166,170,174,173,184,208,186,152,126,110,103,100,109,125,171,196,198,192,191,153,109,66,155,196,186,187,157,163,166,168,173,173,185,202,181,156,131,120,110,106,105,155,200,198,200,175,171,140,105,69,160,195,186,187,156,161,165,167,171,173,182,198,179,160,134,114,103,110,129,195,206,201,184,165,143,120,83,95,190,187,187,187,156,161,165,167,172,173,179,200,189,154,121,115,110,124,159,209,204,191,165,146,120,96,66,154,195,186,186,187,157,162,165,169,172,176,177,197,190,162,146,144,118,129,177,206,194,176,151,128,106,71,102,196,187,189,187,187,158,162,166,169,173,176,176,194,192,170,149,150,122,118,191,195,180,157,135,112,89,65,167,195,189,189,187,187,158,162,166,169,172,177,173,195,198,174,155,150,121,124,187,180,158,137,112,95,63,109,200,189,190,189,188,188,158,163,167,169,172,176,171,208,204,179,154,139,106,125,173,163,137,114,93,76,63,175,194,189,188,190,189,187,158,163,167,169,175,169,189,213,195,167,146,116,98,133,152,125,97,87,76,56,138,197,188,190,189,188,188,187,155,160,164,168,170,169,209,206,193,176,147,119,117,136,126,92,82,83,64,118,195,188,190,189,189,190,188,189,120,123,123,124,114,162,213,197,193,174,142,129,126,125,111,86,87,86,71,116,126,125,125,124,125,126,127,129
6,179,179,180,181,181,182,182,182,182,183,184,184,183,183,181,180,181,181,181,180,179,179,179,177,175,176,175,174,179,181,181,182,183,183,184,184,184,184,185,185,184,185,182,181,182,182,181,181,180,180,180,179,177,176,177,176,180,183,183,184,184,185,185,185,185,185,185,185,185,185,183,183,183,182,182,182,181,181,180,180,179,178,177,177,181,183,185,184,185,186,185,185,187,186,186,186,185,185,185,184,185,183,182,183,181,181,181,181,180,178,178,177,183,184,185,185,186,188,188,188,189,188,187,187,186,186,185,185,184,185,185,184,184,183,182,176,175,184,177,177,183,185,185,186,187,188,189,189,189,189,187,187,188,188,187,186,188,187,185,183,180,172,170,151,181,205,164,170,185,185,186,187,190,189,189,189,189,190,190,191,189,188,185,182,175,168,170,175,171,163,164,152,166,178,143,171,186,187,188,189,191,192,192,191,190,190,186,185,184,180,169,161,143,149,156,171,162,152,134,123,120,134,164,182,187,188,189,191,192,193,194,192,192,186,163,160,150,158,170,162,154,132,139,137,122,110,112,131,152,175,184,180,188,190,190,192,192,194,194,192,188,179,168,169,142,106,130,128,116,99,107,113,135,153,178,189,188,185,182,182,190,192,192,195,195,194,192,176,179,181,183,172,130,94,81,80,84,107,146,181,192,193,187,186,186,185,184,183,193,193,194,196,193,188,183,176,171,176,181,159,115,91,83,88,154,182,196,193,191,189,189,189,187,186,185,184,194,193,193,191,187,183,179,174,165,172,171,164,149,103,85,86,178,200,189,193,192,192,192,190,188,186,186,186,194,192,191,188,183,176,174,172,168,169,173,176,161,114,88,83,95,196,194,193,192,192,192,190,190,188,188,187,189,191,193,187,179,174,174,174,171,171,173,170,159,121,87,90,78,141,206,194,194,194,192,191,191,190,189,188,199,200,195,186,179,175,173,174,172,167,171,172,169,144,92,83,87,87,187,199,195,194,193,192,191,191,190,188,205,202,189,182,184,176,173,172,174,175,178,178,171,141,98,84,83,78,184,201,195,196,195,193,193,192,191,190,201,193,185,187,181,175,172,172,171,165,163,161,149,126,102,89,75,132,208,196,197,196,195,195,194,193,192,190,203,189,181,184,173,172,175,169,165,155,149,147,135,118,106,98,75,130,211,197,199,197,196,196,195,196,194,192,205,197,179,168,168,173,176,172,163,155,148,148,137,112,105,106,91,82,191,204,200,198,197,196,195,196,194,192,191,193,171,158,161,168,168,166,157,146,132,127,111,99,101,112,93,81,191,205,201,200,197,196,196,196,195,194,100,146,151,141,149,158,158,149,137,125,115,105,75,85,102,107,86,154,209,202,202,201,199,198,197,197,196,195,66,75,109,123,133,144,139,126,110,99,91,87,80,93,104,110,171,210,203,203,203,201,200,198,197,197,197,196,69,68,65,74,86,103,112,106,114,136,157,132,115,119,151,193,210,204,204,203,203,202,201,200,200,198,197,196,63,66,65,46,43,52,57,63,191,215,214,212,206,207,212,209,207,206,205,204,203,203,203,201,201,200,197,196,61,59,68,59,41,47,33,107,217,207,208,208,208,208,206,206,206,205,204,206,204,203,202,202,200,199,197,197,58,57,64,63,42,45,39,180,217,207,210,209,208,208,207,207,206,206,205,205,204,203,202,201,200,199,198,197,56,55,64,65,45,34,92,218,207,209,209,209,209,209,208,208,207,207,206,206,204,204,203,202,201,200,198,197
10,145,146,147,147,148,148,149,150,149,148,148,149,148,147,146,145,143,143,140,141,140,137,136,136,135,133,131,132,151,151,152,152,152,152,152,153,152,152,151,151,151,150,148,147,146,144,147,137,136,140,138,137,135,135,134,132,156,156,156,158,158,158,158,158,157,157,156,155,155,154,152,150,150,144,169,136,100,146,139,138,137,137,136,135,160,161,160,162,163,162,162,161,161,161,160,160,159,157,155,154,153,149,175,143,87,143,142,141,140,138,137,136,165,165,166,166,166,167,166,165,165,166,165,164,164,162,159,158,158,154,177,142,85,141,149,144,143,141,139,138,170,170,170,169,171,171,169,170,170,171,170,169,167,166,164,162,162,159,178,133,81,143,153,147,146,144,143,141,174,175,174,174,176,175,174,174,175,175,174,172,171,170,168,166,166,163,184,148,85,145,158,152,150,148,146,143,178,179,179,179,179,180,179,179,179,180,179,177,175,174,172,171,169,169,190,142,118,149,160,155,153,152,148,146,181,181,182,182,183,183,183,182,183,184,182,181,180,178,176,175,172,183,186,164,143,112,169,158,156,154,152,150,184,184,185,186,186,186,186,185,186,187,186,184,184,182,180,179,173,160,165,183,134,80,170,162,159,157,156,153,187,187,188,189,188,188,188,188,188,189,188,187,186,186,184,184,182,158,135,147,148,70,124,178,162,162,158,156,190,190,190,191,191,191,191,190,192,192,191,190,188,188,184,179,196,193,157,116,106,100,66,155,171,164,161,161,193,192,193,194,195,195,194,195,195,195,195,195,196,193,163,131,125,166,174,168,122,90,71,105,181,164,164,165,195,195,196,197,197,197,197,197,197,197,197,178,152,180,183,151,90,50,160,178,107,68,60,107,183,169,168,166,198,198,199,199,200,199,198,199,199,197,196,178,139,124,197,177,129,40,49,93,100,79,55,119,186,171,172,169,200,201,200,201,202,201,201,201,202,199,194,194,181,132,157,198,144,84,38,48,155,121,59,127,188,175,173,170,201,202,202,202,202,202,202,203,202,200,168,160,187,154,108,178,154,100,51,77,156,152,69,125,192,177,176,173,203,204,204,203,204,204,205,206,203,201,181,122,143,147,64,122,164,93,58,89,145,152,68,117,193,178,178,175,205,205,206,206,207,207,207,207,206,194,170,127,104,128,76,85,166,137,79,99,143,114,59,130,194,179,179,176,207,207,207,208,208,208,208,209,205,197,193,168,111,117,116,84,150,175,108,87,126,84,60,166,191,182,181,178,208,209,208,208,209,210,209,210,207,200,207,178,137,116,114,100,157,158,93,76,111,73,79,193,186,184,182,181,209,209,209,209,210,210,209,210,211,198,207,194,159,129,121,144,203,183,126,101,104,65,114,203,187,186,184,182,211,211,210,211,212,212,213,213,214,198,194,194,170,143,134,154,200,196,167,126,100,58,148,202,188,188,185,183,211,211,212,212,212,214,215,215,216,202,185,191,177,166,148,153,194,187,149,112,88,65,183,197,191,189,187,184,210,210,210,211,212,213,214,214,215,212,184,183,186,181,154,143,182,165,134,102,65,96,205,193,193,190,188,186,210,211,211,212,212,214,215,215,214,217,193,169,181,173,153,129,154,146,115,90,47,148,204,191,192,189,187,184,211,212,213,214,214,215,216,216,215,216,212,179,175,165,149,128,134,145,115,72,79,198,195,193,191,189,186,189,212,213,214,215,215,215,216,216,217,217,212,194,176,158,150,139,129,142,110,57,143,210,194,194,192,189,190,151
20,156,158,159,158,160,159,159,159,160,159,159,159,158,159,158,155,154,152,151,149,148,145,144,143,141,140,138,136,160,162,162,163,163,162,162,163,163,163,163,162,167,150,146,160,156,156,155,152,151,149,148,145,143,142,141,139,164,166,166,166,166,166,166,165,166,166,167,165,182,148,106,166,162,158,158,156,154,153,151,149,147,146,144,143,169,169,170,170,170,171,170,170,170,170,171,168,178,159,86,98,134,166,160,159,158,156,154,152,150,149,146,143,173,173,174,174,174,175,174,174,174,174,175,172,184,156,72,106,98,158,167,163,161,160,158,156,154,152,150,147,175,176,178,178,178,179,179,178,178,179,178,176,189,144,69,150,106,134,176,166,165,163,162,159,158,156,154,151,179,179,181,181,181,182,181,181,181,182,182,179,195,150,81,164,109,116,180,170,169,166,166,163,161,159,156,156,183,183,184,184,185,185,185,185,185,185,184,183,202,145,82,168,134,111,181,173,173,171,170,167,163,163,160,159,185,186,186,186,187,187,187,187,187,188,187,192,204,123,85,179,143,103,181,176,175,174,173,171,167,165,163,163,187,189,190,189,191,190,190,190,191,190,180,194,207,121,107,194,137,94,181,181,178,176,175,173,171,168,167,163,192,193,193,193,194,193,193,193,194,192,172,160,175,136,105,185,143,94,182,182,180,179,178,175,173,170,174,145,194,195,195,196,196,196,195,196,195,198,209,193,151,124,99,168,159,105,178,186,183,182,180,179,176,173,174,158,198,198,198,199,199,199,199,198,200,190,165,193,161,164,107,139,150,101,174,191,186,185,182,181,178,177,176,164,200,200,199,200,200,201,201,201,200,205,145,114,171,180,96,80,107,87,168,196,187,187,185,183,180,178,177,167,202,201,200,201,201,202,202,203,202,211,151,57,158,176,122,77,74,68,158,200,189,188,187,186,181,179,177,176,203,203,202,202,202,204,202,204,203,203,154,91,116,165,152,109,103,56,145,204,190,189,188,187,184,181,180,178,204,204,204,204,205,206,206,206,197,196,163,134,81,91,150,134,114,55,123,208,192,192,191,188,186,184,181,179,207,207,207,207,207,207,208,202,197,181,178,163,115,88,115,141,120,68,101,210,195,194,193,191,189,186,182,179,208,208,208,207,208,208,206,198,179,128,140,168,140,90,90,134,156,102,74,194,201,195,194,193,191,188,185,182,209,210,210,210,210,211,207,197,188,142,71,120,136,73,72,115,168,139,68,135,211,196,196,194,191,189,187,184,211,212,211,211,211,213,209,197,176,147,102,75,111,79,74,159,184,162,84,94,211,198,198,197,193,191,189,187,211,213,213,213,213,214,212,194,192,178,111,82,114,105,126,200,187,147,73,108,213,198,199,197,195,193,191,189,213,214,215,215,215,216,215,192,197,182,125,102,122,185,206,196,163,130,55,146,213,199,200,198,195,194,192,188,216,215,215,216,216,218,217,192,188,177,143,102,124,209,206,177,140,114,60,182,209,201,201,200,198,195,193,189,215,215,215,215,216,217,219,191,173,169,144,107,121,194,185,160,125,89,78,206,205,202,201,201,197,195,199,198,215,215,215,215,216,217,219,200,173,169,144,123,124,192,181,146,110,62,114,219,201,201,199,198,203,200,177,138,216,217,216,217,217,217,219,213,177,167,153,131,113,178,167,127,88,55,178,213,203,203,206,198,172,109,59,54,216,218,218,218,219,219,220,216,188,171,152,129,108,141,132,95,55,95,217,206,206,198,160,103,59,44,39,49
12,172,176,180,183,186,188,190,192,193,193,194,194,194,194,194,194,194,194,193,192,191,190,189,188,188,187,185,183,174,178,182,185,187,189,192,194,195,195,195,195,196,196,195,196,196,195,195,193,193,193,192,191,190,188,187,186,175,178,182,186,188,191,193,195,196,197,197,195,194,198,196,182,187,196,196,196,196,196,195,194,193,192,189,188,176,179,183,187,190,193,194,195,197,198,203,191,166,182,204,178,147,176,186,174,190,197,197,196,194,193,192,191,177,180,184,187,191,194,195,197,199,200,222,219,190,155,172,211,172,129,145,151,143,192,199,198,196,195,194,193,180,183,186,189,193,196,198,199,200,211,222,223,211,163,119,183,185,124,97,145,124,151,201,199,198,197,195,195,181,185,188,192,195,197,200,201,200,221,197,202,211,154,106,160,173,121,85,123,123,107,195,200,199,198,197,196,183,186,190,193,197,200,201,202,202,175,149,195,195,141,97,163,165,114,91,125,115,104,196,202,201,199,198,198,185,188,192,195,199,201,206,223,211,148,108,147,179,151,90,156,186,129,96,145,120,119,202,203,202,201,200,198,187,190,194,197,200,210,227,225,214,160,104,104,175,151,79,152,198,129,105,178,128,149,206,203,203,202,201,200,189,193,197,200,207,228,207,195,217,170,104,68,140,130,58,108,181,119,99,168,133,184,207,205,204,203,201,201,192,195,200,202,221,227,198,171,200,162,104,61,73,80,68,105,130,129,134,142,108,176,210,206,205,205,203,201,194,198,201,206,221,202,171,136,175,158,106,63,64,77,146,197,176,166,148,131,115,132,208,208,207,206,204,202,196,200,204,204,224,204,173,128,147,157,107,68,77,123,185,204,193,169,136,112,118,109,196,210,208,207,206,203,199,202,206,205,226,209,180,142,127,153,129,81,107,171,201,199,191,168,132,110,102,106,200,211,209,208,207,204,202,205,208,212,231,214,191,160,123,136,143,98,165,206,209,201,192,153,126,105,82,139,214,213,210,209,207,206,204,208,209,220,235,221,198,168,140,122,126,144,203,213,215,209,179,137,119,97,88,192,217,214,213,211,210,202,206,209,212,224,233,226,206,176,160,144,135,177,199,209,216,200,159,128,114,84,129,218,218,213,196,173,141,107,208,211,214,221,228,228,212,185,175,161,144,181,186,212,213,182,146,122,106,86,181,196,162,123,87,69,61,54,210,214,217,216,228,229,214,193,186,170,152,186,188,208,201,162,133,112,95,90,117,81,61,51,48,47,49,56,214,216,220,216,223,223,212,196,188,172,159,180,199,189,176,144,121,104,80,55,49,44,45,42,46,42,41,52,216,219,222,220,217,223,212,199,185,172,163,170,190,175,152,131,111,95,60,35,39,49,40,37,45,47,36,41,217,220,223,221,213,225,212,197,183,170,157,159,177,163,139,121,103,81,57,29,31,49,44,31,37,47,42,33,219,221,225,221,216,224,205,187,177,168,152,158,169,154,122,109,89,60,60,39,22,36,48,36,29,39,46,36,222,225,228,222,217,222,192,173,174,165,151,160,159,139,110,92,58,34,51,51,21,22,41,44,29,29,41,42,223,226,228,221,215,229,194,182,186,174,160,161,149,126,103,75,48,23,37,52,31,13,28,43,39,25,33,43,225,227,231,208,203,230,204,201,202,177,159,156,140,118,95,57,46,27,27,42,41,12,16,34,44,32,26,38,226,228,234,178,174,230,217,219,207,170,159,157,137,114,87,54,39,33,18,32,45,19,9,26,43,40,27,29
1,177,179,182,184,185,186,187,187,186,187,188,189,189,190,189,189,189,190,192,190,190,190,191,189,189,188,188,188,181,183,185,187,188,188,189,190,190,191,192,192,191,191,194,193,195,191,182,193,192,193,193,192,192,191,192,191,185,186,189,191,191,192,192,193,193,195,196,195,195,198,175,186,207,202,136,190,199,196,195,195,195,194,192,192,188,189,193,194,194,195,196,196,196,196,198,195,203,216,145,172,216,191,129,193,193,199,198,198,196,196,194,194,191,193,197,198,198,199,200,199,200,201,201,198,215,210,138,182,217,173,136,202,167,164,206,198,200,199,198,197,195,196,200,201,203,203,202,202,203,204,199,170,210,197,138,195,217,159,144,211,172,135,209,202,202,201,200,199,197,199,203,203,205,205,207,207,205,217,198,147,188,186,143,205,224,162,162,220,173,135,208,205,205,205,203,203,200,203,204,205,206,210,210,210,207,224,189,144,185,184,154,208,214,158,173,224,164,139,212,207,207,206,206,205,203,205,207,208,210,213,211,211,210,224,176,148,180,167,147,196,199,148,185,228,163,146,217,210,210,209,208,207,205,207,209,211,212,214,215,212,212,230,178,157,174,169,131,203,197,145,203,224,161,154,224,213,213,212,212,211,207,210,211,213,214,216,216,216,217,230,169,149,176,186,134,215,202,151,214,210,154,166,225,215,217,216,214,214,210,212,213,215,217,218,217,216,221,234,187,143,163,172,127,207,181,156,225,216,152,181,226,216,218,217,217,216,212,214,216,217,219,219,219,217,222,234,181,133,160,157,129,190,159,169,228,208,148,196,228,220,221,219,218,217,213,215,218,220,222,222,223,220,226,235,192,163,184,209,198,209,207,165,186,205,143,208,227,223,223,221,220,219,214,217,218,221,223,223,225,221,234,235,197,173,148,182,218,215,217,189,143,171,143,221,227,225,224,223,223,223,217,218,221,222,223,225,225,223,241,223,185,158,136,131,159,173,225,224,167,117,144,231,227,227,227,225,224,223,217,219,223,224,225,226,226,226,247,224,185,150,142,147,153,175,231,242,207,122,157,239,227,228,228,227,226,225,219,223,224,226,227,229,228,230,248,222,179,155,155,158,185,216,207,234,216,146,167,241,228,230,229,228,229,228,222,224,226,227,228,230,229,234,247,217,182,153,164,162,209,236,219,201,186,154,140,234,231,231,230,229,229,229,223,225,227,227,228,229,230,237,245,219,187,166,169,180,233,237,215,193,160,135,145,238,232,232,233,232,231,231,225,226,228,229,229,232,232,238,244,220,187,176,164,197,245,241,205,181,151,118,161,244,234,235,234,233,233,232,227,228,229,230,231,232,233,236,241,217,192,183,167,193,245,235,195,171,142,116,194,245,235,236,235,235,234,233,227,228,230,232,233,234,234,234,235,218,200,193,170,188,243,215,185,157,130,138,237,239,237,236,236,235,235,235,226,229,231,232,233,233,235,235,234,221,202,196,167,194,234,204,180,146,117,180,247,237,239,237,237,237,238,237,227,230,232,234,234,234,237,236,240,223,204,193,159,197,216,190,170,136,121,221,245,239,239,238,237,238,238,237,228,230,233,235,236,237,236,234,243,227,212,186,163,195,190,173,159,122,149,246,241,241,241,241,240,240,239,238,228,230,231,234,235,237,231,238,242,241,221,188,174,193,179,169,149,121,205,248,242,242,243,243,243,241,241,239,227,230,231,232,234,233,230,238,235,230,217,187,182,181,172,158,126,160,247,242,243,242,243,243,242,241,241,240
7,217,217,218,218,217,217,217,217,216,216,215,214,213,213,211,211,210,209,208,206,205,204,202,201,200,198,196,195,219,218,219,218,218,219,218,219,218,217,217,217,216,214,214,213,212,212,210,208,207,206,205,203,202,200,197,196,219,219,219,220,221,220,220,220,219,219,219,218,217,217,215,214,213,213,211,209,208,207,207,205,202,202,200,198,220,221,221,220,222,222,222,222,221,220,220,220,219,218,216,215,216,214,214,215,213,211,210,206,205,204,201,200,223,222,223,223,223,223,224,224,223,222,220,220,220,221,221,221,218,213,208,200,200,197,205,210,207,206,203,202,223,224,223,223,223,223,223,223,223,224,225,225,221,211,203,190,188,185,168,163,201,196,177,210,208,208,205,204,225,224,224,224,225,226,228,229,226,219,208,196,184,176,157,166,167,158,156,156,177,166,174,219,211,208,207,204,224,225,225,226,227,220,209,196,190,182,174,167,169,163,150,151,146,136,142,128,121,148,173,173,201,211,208,206,226,226,228,221,197,176,168,169,172,176,174,169,160,142,145,140,138,142,142,139,138,131,123,140,154,210,209,207,227,230,219,197,188,166,156,165,156,152,149,148,150,157,168,161,135,145,152,134,131,119,115,132,134,206,212,209,228,213,198,199,189,163,148,140,137,146,158,171,177,173,164,151,122,125,125,108,109,110,117,134,178,215,211,210,204,193,197,196,186,180,171,173,174,180,183,171,167,158,149,126,108,115,136,158,180,196,210,219,219,214,213,211,191,193,196,192,190,187,173,165,158,159,156,142,138,135,132,142,170,202,224,229,228,224,220,217,216,214,213,211,194,198,194,194,194,179,148,123,131,130,117,107,99,132,218,232,232,230,224,222,221,220,219,219,217,215,212,211,199,198,196,192,175,161,124,107,113,101,95,94,95,89,137,231,225,226,226,224,224,222,219,219,218,216,212,210,197,198,192,172,166,154,131,123,106,96,97,95,96,85,128,227,227,224,224,224,222,219,219,218,216,214,215,218,199,197,182,171,163,160,165,163,122,98,100,102,90,134,226,227,227,225,223,223,221,219,217,215,215,219,205,171,200,191,172,161,157,160,169,154,109,97,94,82,118,230,230,228,228,226,224,224,222,220,221,223,215,188,126,97,192,169,150,150,148,148,149,122,100,91,90,90,110,234,227,228,225,224,223,222,227,224,203,170,131,102,98,93,169,156,154,156,151,140,131,119,112,97,100,85,151,234,226,228,234,232,231,230,185,138,114,99,95,96,98,90,160,162,161,157,140,119,120,135,126,100,90,153,240,234,235,224,189,177,176,147,110,104,95,96,96,97,97,87,162,155,141,125,114,117,131,138,112,94,122,182,183,173,162,126,97,98,91,96,94,100,98,81,89,96,97,87,147,130,123,123,124,124,120,106,100,130,139,126,115,112,112,93,82,98,86,96,89,87,93,76,81,91,97,83,138,134,136,131,121,112,107,111,141,155,136,120,112,106,99,100,76,88,85,83,85,85,85,73,77,88,94,77,128,125,122,117,109,112,130,147,147,131,116,105,100,94,92,89,82,73,86,77,81,82,79,72,77,87,91,74,108,114,119,123,132,143,147,145,136,103,96,99,95,86,90,86,84,68,78,75,76,82,76,72,80,85,90,71,142,147,149,154,148,144,143,137,109,96,84,90,93,83,84,80,81,67,69,76,74,82,74,72,80,83,87,69,147,148,146,149,144,143,137,118,88,88,85,81,91,77,79,74,78,71,66,75,75,82,71,75,80,85,86,66
16,180,188,193,193,199,205,210,215,218,223,228,230,234,236,238,241,242,244,246,248,250,251,253,254,254,253,254,255,182,190,193,194,199,205,211,216,219,224,229,232,235,239,239,241,244,246,248,250,252,253,255,255,255,254,255,255,185,192,193,196,200,207,213,217,221,226,230,234,237,240,241,244,246,248,250,252,255,255,255,255,255,255,255,255,185,192,195,198,202,208,214,219,223,229,233,235,239,242,245,247,249,250,253,254,255,255,255,255,255,255,255,255,186,193,196,199,205,211,216,222,225,230,233,234,240,244,244,247,250,251,254,255,255,255,255,255,255,255,255,255,189,196,198,200,206,212,217,223,227,233,232,245,243,242,255,246,246,255,255,255,255,255,255,255,255,255,255,255,192,198,200,202,208,214,219,226,230,230,245,255,255,255,255,253,221,223,255,255,255,255,255,255,255,255,255,255,192,199,200,204,210,215,221,228,221,255,255,255,255,255,255,255,224,184,177,221,255,255,255,255,255,255,255,255,193,200,201,204,211,217,222,223,253,255,255,255,255,255,255,241,197,183,159,152,172,218,255,255,255,255,255,255,195,201,203,206,214,221,218,254,255,255,255,255,255,255,250,212,182,188,160,166,155,150,186,255,255,255,255,255,195,200,203,206,213,222,216,255,255,255,255,255,255,236,207,176,178,176,164,175,162,159,147,173,255,255,255,255,195,200,203,207,214,223,220,255,255,255,255,255,247,201,171,169,152,176,173,181,169,161,159,145,181,255,255,255,197,203,205,209,216,224,223,255,255,255,255,237,200,171,159,127,105,183,176,179,172,165,156,158,147,199,255,255,198,205,207,211,217,226,221,255,255,255,255,204,160,140,87,60,104,178,175,183,170,163,159,162,148,67,145,255,201,206,207,211,218,228,221,255,255,255,254,178,149,102,48,53,104,178,185,191,167,159,161,159,99,59,162,255,202,206,208,211,218,226,224,255,255,255,230,160,129,95,65,87,106,152,207,184,165,158,163,112,72,57,218,255,201,206,209,212,219,227,229,244,255,255,203,151,141,143,114,126,124,166,236,161,162,163,123,57,78,61,254,255,202,208,208,212,220,228,229,247,255,246,171,160,165,154,146,138,128,244,222,156,164,121,44,64,72,75,255,255,204,209,209,213,222,230,228,255,255,216,170,175,166,163,167,127,205,255,202,166,125,54,60,80,55,98,255,255,205,209,210,215,224,233,226,255,255,187,204,157,110,135,135,144,255,255,200,151,91,70,78,66,50,131,255,255,206,209,210,216,224,233,225,255,255,157,233,152,123,131,112,166,255,255,221,122,86,74,62,65,49,191,255,255,204,208,211,216,224,228,239,255,205,176,250,150,147,156,134,152,255,255,233,107,76,68,59,70,52,221,255,255,203,207,209,214,224,227,244,236,182,247,233,150,160,162,160,140,243,255,236,114,59,64,65,73,56,215,255,255,205,209,210,216,225,231,234,236,245,255,219,154,167,169,168,140,128,208,171,74,58,64,68,74,60,223,255,255,206,209,211,216,224,232,236,242,243,255,210,159,165,165,142,100,68,65,66,62,67,68,69,74,60,230,255,255,206,210,211,217,224,231,236,243,245,255,201,152,155,145,101,69,72,76,76,77,75,74,70,73,54,170,255,255,207,210,212,217,226,231,239,245,247,255,210,158,142,123,86,78,88,90,91,90,83,78,72,76,54,174,255,255,206,210,214,217,225,232,239,244,250,251,188,162,146,128,102,93,100,99,100,96,88,82,75,78,54,201,255,255
15,194,170,180,139,126,196,66,52,102,98,100,103,107,111,126,142,154,165,171,175,182,189,194,197,202,204,207,211,192,175,187,131,143,194,53,63,103,99,101,105,109,112,128,144,158,168,173,178,185,192,197,200,205,208,211,214,191,177,190,123,159,185,43,75,104,99,104,108,109,114,130,145,161,171,175,180,188,195,201,205,208,211,214,217,189,180,189,115,175,173,33,82,102,98,100,103,105,113,134,151,164,173,177,181,191,199,203,207,212,215,219,221,185,181,187,111,192,155,37,98,110,112,123,133,137,119,131,147,165,178,182,186,195,202,213,217,215,218,223,225,184,194,181,142,172,156,139,142,139,148,152,145,134,129,128,130,136,147,157,164,162,152,160,194,226,228,225,229,191,200,162,149,153,146,142,127,128,129,124,122,121,136,138,136,136,133,132,147,152,140,127,110,143,209,240,236,193,178,138,136,131,130,124,118,123,124,125,122,128,142,143,139,131,127,130,146,149,146,140,122,102,103,164,230,194,196,154,126,143,112,109,113,118,123,122,122,133,142,139,133,128,128,141,146,138,144,136,127,122,113,96,116,198,207,146,148,219,69,61,110,101,104,107,110,116,130,145,162,144,139,140,141,143,144,137,129,128,133,118,100,200,211,135,165,213,53,65,111,101,102,107,109,109,124,153,206,180,155,147,139,131,139,131,133,129,148,130,113,200,210,130,181,201,43,75,111,101,103,107,108,112,122,187,192,163,131,122,131,110,110,128,136,140,160,139,123,202,209,123,195,187,35,84,110,100,103,106,110,108,145,209,167,150,119,75,87,74,65,155,160,161,155,132,129,205,205,121,208,173,30,93,108,102,104,105,109,110,197,193,151,133,113,71,57,47,63,179,182,174,146,122,128,207,200,121,221,158,28,100,108,103,103,107,101,140,231,190,146,126,90,57,59,41,91,188,191,186,149,118,121,215,194,125,229,139,29,106,107,102,104,107,102,132,213,199,160,129,80,48,57,65,106,178,200,194,154,120,117,222,187,132,242,125,33,110,106,102,104,106,108,107,186,221,189,144,96,45,77,113,103,161,200,177,146,123,106,227,179,142,248,110,37,115,105,102,102,105,108,111,147,232,214,164,104,57,49,87,153,181,176,144,133,119,94,233,166,155,248,92,44,114,103,99,99,103,104,115,132,212,230,190,165,151,149,173,175,157,134,115,117,113,97,235,157,171,244,76,53,113,100,99,98,102,102,114,135,173,234,214,196,187,186,191,150,116,109,108,106,110,112,235,146,187,235,62,62,113,99,98,97,100,103,116,134,196,213,167,156,160,184,188,137,101,101,92,100,109,101,232,141,204,226,48,70,111,97,96,96,100,103,112,149,229,174,154,159,155,178,182,141,102,97,164,143,80,79,228,134,218,210,40,78,107,92,90,90,92,95,102,156,214,163,148,143,138,161,167,144,96,129,255,163,82,81,222,136,225,205,152,146,155,145,141,137,133,135,138,156,184,164,159,174,137,113,151,149,113,144,255,164,92,85,214,139,229,209,164,123,142,141,141,140,144,148,147,141,136,146,144,199,194,118,116,156,136,148,172,135,98,90,208,143,235,205,158,127,143,141,142,142,142,143,145,145,147,149,142,152,215,169,124,152,151,151,152,127,87,86,198,152,239,201,156,134,143,143,145,145,144,148,149,149,151,151,150,148,163,170,147,154,153,152,157,129,83,58,187,161,238,200,156,137,144,142,144,145,145,148,147,149,151,151,150,152,151,150,152,152,153,152,154,127,94,73
24,148,152,154,158,160,161,163,166,167,167,168,168,168,169,170,170,169,170,171,171,170,171,170,170,169,168,167,167,151,154,158,161,162,164,167,168,168,169,170,170,171,172,172,173,173,174,174,173,173,174,173,173,172,170,170,169,152,156,159,162,166,168,169,170,171,172,172,173,174,175,174,175,174,175,174,174,174,175,176,175,174,173,173,172,154,157,162,166,169,171,171,173,174,174,174,175,175,176,178,177,177,177,176,177,177,177,178,177,176,175,175,174,158,164,163,168,171,172,173,175,175,176,177,178,179,179,180,179,180,180,180,181,180,180,180,179,178,178,177,175,141,130,171,169,173,174,176,177,177,178,179,180,180,180,181,181,182,183,182,182,183,182,182,181,181,178,178,179,131,81,171,172,174,176,178,180,180,180,182,183,184,182,183,183,185,185,183,184,185,184,183,186,186,184,186,180,131,73,165,175,177,179,179,182,185,188,185,177,173,190,185,186,187,186,186,187,186,187,187,181,168,139,142,188,118,60,166,178,178,181,185,181,158,156,186,155,119,133,192,187,186,187,188,188,188,188,181,151,128,75,124,193,108,58,166,181,175,140,144,187,143,106,158,165,140,99,159,195,187,188,189,189,190,188,180,146,82,107,193,187,124,67,154,185,189,153,128,179,160,138,136,178,161,126,119,198,189,191,190,191,189,186,173,115,82,191,190,187,134,85,142,186,196,192,154,143,185,162,121,152,178,135,97,184,193,191,193,193,188,183,153,71,127,202,189,190,157,141,152,179,178,199,183,123,151,183,138,111,172,123,70,177,202,195,190,181,181,164,94,79,191,194,191,190,175,172,163,177,163,153,190,114,84,186,157,86,104,94,52,152,176,171,162,151,154,108,67,177,202,194,193,193,169,181,175,172,171,154,151,109,61,130,130,70,31,69,96,142,166,169,151,125,106,64,148,208,194,196,195,194,173,187,175,173,170,150,138,117,85,65,82,48,34,108,173,186,181,165,135,105,74,107,209,196,197,197,197,196,175,185,175,142,152,146,132,124,105,89,92,89,141,173,185,182,167,149,114,77,66,187,204,199,199,198,198,197,177,181,183,161,132,136,161,145,138,120,113,163,192,187,182,172,155,129,93,53,137,211,200,202,201,200,199,199,179,180,193,193,161,134,137,155,174,173,176,199,192,186,176,159,135,105,60,110,211,200,203,202,201,200,200,200,177,180,186,197,177,151,134,145,161,190,198,193,193,186,165,138,110,73,75,197,205,203,202,202,203,202,201,200,178,184,181,191,197,167,146,146,166,192,199,200,199,177,144,114,87,55,155,211,200,203,202,202,202,201,200,198,179,184,184,195,208,195,165,161,169,200,210,202,188,154,120,91,61,93,209,202,203,203,202,202,201,201,200,203,179,182,185,185,199,209,184,169,173,195,205,192,164,128,97,73,52,171,211,204,206,206,205,204,202,204,197,191,181,183,188,178,173,194,184,173,174,178,180,173,145,108,77,48,95,211,201,205,205,205,203,204,208,193,186,122,174,179,183,187,169,171,177,171,166,150,147,156,135,95,67,45,161,218,210,210,210,210,209,209,188,179,204,171,98,104,104,111,110,151,176,163,149,132,134,146,124,96,69,56,144,171,172,176,179,186,191,183,188,171,168,114,88,88,87,87,82,113,167,133,128,129,144,156,122,104,86,58,78,88,86,88,89,91,97,170,204,164,159,115,91,94,100,99,97,95,146,127,137,150,154,158,126,99,95,63,86,103,102,102,98,97,136,138,185,195,89,145
7,135,144,157,179,190,197,202,205,206,210,212,214,214,215,217,217,218,217,217,215,214,214,213,211,209,208,206,204,135,145,159,181,191,198,204,206,208,212,214,216,217,218,219,220,220,219,219,217,216,216,215,213,211,210,208,206,136,146,160,181,192,199,204,207,210,212,215,217,218,220,220,221,222,221,221,219,219,218,216,215,213,212,210,208,138,147,161,183,192,201,206,208,211,214,217,218,220,221,222,223,223,223,222,221,220,219,217,216,215,214,213,210,139,148,163,184,193,201,207,210,212,215,218,219,221,221,222,224,224,224,223,221,221,220,219,218,217,216,214,212,140,148,164,185,194,202,208,211,213,216,219,220,222,223,223,225,227,227,227,228,227,225,224,220,219,217,215,213,141,149,164,186,195,203,208,210,212,216,220,223,225,227,226,226,224,222,217,207,206,207,216,223,220,219,217,215,141,150,165,186,195,203,210,215,215,216,215,214,206,200,192,173,175,178,170,162,200,204,180,228,221,220,219,217,142,150,167,187,196,203,208,197,188,183,186,184,171,165,160,146,157,149,151,153,164,159,172,218,224,222,219,217,143,150,168,187,194,210,200,165,166,173,173,170,165,157,156,155,151,158,157,153,148,141,155,173,187,225,219,218,143,152,167,188,207,210,188,155,145,146,151,160,170,175,176,160,142,166,163,148,143,134,143,159,154,223,222,219,145,148,176,207,206,195,187,175,169,172,182,183,178,173,165,143,133,139,133,125,128,130,136,152,193,228,221,221,138,168,209,206,198,199,186,169,165,169,175,165,160,153,135,127,143,164,182,198,212,219,225,229,231,226,223,221,169,216,210,203,202,190,170,135,136,147,138,125,119,128,186,217,228,239,241,239,237,234,232,229,228,227,224,222,217,215,206,205,186,172,156,126,126,118,103,97,103,107,113,180,243,231,232,232,232,232,232,231,229,227,225,223,209,208,209,193,177,168,161,152,131,114,117,119,117,113,96,129,242,233,235,235,234,233,233,232,230,227,227,224,207,209,195,174,167,163,174,178,141,116,120,119,117,115,109,113,226,239,235,235,235,234,234,233,231,227,226,224,206,191,170,160,159,157,161,152,121,108,99,103,111,114,103,103,216,241,235,236,234,234,234,233,231,228,226,225,185,169,164,162,159,147,139,129,117,105,104,121,127,115,114,215,238,236,236,236,234,234,233,232,231,229,227,225,167,166,161,154,144,132,126,136,136,121,118,114,110,114,188,241,233,234,234,234,233,233,232,230,229,227,226,223,166,157,144,139,136,134,140,150,137,110,118,152,185,221,237,231,234,235,233,233,233,233,231,231,228,227,224,221,159,151,146,146,142,135,130,123,111,143,208,234,236,234,232,233,233,233,233,232,233,232,231,231,228,226,223,219,130,128,133,130,124,120,122,148,188,222,227,224,226,230,231,232,233,233,233,234,233,232,231,230,228,227,225,225,105,101,75,104,184,185,205,220,225,221,224,228,229,230,232,233,233,232,232,231,229,228,226,224,223,224,221,179,106,100,50,106,198,180,180,175,173,173,174,172,170,170,171,171,167,164,164,162,160,156,153,155,142,122,107,76,98,74,50,110,148,140,142,143,143,145,143,143,145,144,144,142,142,143,141,139,138,138,138,124,85,65,62,58,51,46,58,126,156,151,150,150,150,150,149,150,150,150,150,149,149,150,149,146,145,137,104,73,65,64,60,52,60,78,85,115,152,149,149,149,150,150,150,149,150,149,149,148,146,144,144,144,123,89,60,61,59,57,56,52
14,222,222,223,224,225,225,225,225,225,225,223,223,223,221,218,218,217,215,214,213,210,209,208,206,205,202,200,198,224,224,225,226,227,228,228,228,228,227,228,225,224,224,222,221,220,218,216,216,215,212,210,209,208,206,205,203,226,228,227,229,230,232,232,231,230,229,229,228,227,225,224,222,222,220,217,217,215,214,213,212,209,206,206,204,227,229,230,232,232,233,232,232,233,233,231,230,231,227,224,223,223,222,220,218,217,216,214,214,212,207,207,205,230,231,232,233,233,234,236,235,235,237,236,229,218,232,233,233,226,224,223,222,220,218,215,215,214,212,209,207,232,233,234,235,235,237,239,238,234,218,206,196,140,156,166,199,224,230,229,223,222,220,217,215,216,214,210,208,234,234,236,239,238,239,240,232,206,181,152,122,90,100,126,134,163,180,208,228,224,223,221,218,218,216,213,210,235,236,237,238,239,239,240,227,189,139,101,89,93,86,107,124,139,117,158,242,223,224,222,220,218,217,215,212,236,238,240,241,240,234,228,201,149,81,73,78,79,75,80,85,106,87,109,208,230,224,224,222,219,218,216,214,237,239,241,243,242,222,206,165,103,80,71,71,76,77,80,79,88,102,101,111,223,228,226,224,223,221,216,215,239,241,242,243,241,216,187,115,82,86,78,77,77,72,75,78,79,100,92,127,240,228,227,224,223,221,218,217,242,242,243,242,243,224,192,109,79,77,77,85,76,102,210,192,199,114,93,104,196,237,228,226,224,223,221,218,242,245,246,245,244,225,193,122,76,72,73,84,70,186,255,247,254,223,149,110,120,156,215,230,223,223,222,218,243,244,245,245,244,226,190,117,85,87,77,64,154,254,242,243,239,248,223,137,141,115,185,238,224,224,223,222,244,245,245,248,244,231,195,126,99,95,84,91,243,249,248,245,244,241,163,143,142,114,206,236,227,226,224,224,245,246,247,250,245,234,207,150,112,92,78,108,251,247,248,245,251,202,136,143,124,127,238,232,230,227,225,224,245,249,250,249,241,232,213,155,121,93,69,142,255,248,246,251,236,140,128,137,101,173,246,231,232,230,228,225,247,249,251,249,236,235,212,164,128,94,75,105,218,249,255,252,179,131,119,121,87,218,239,234,233,231,228,225,246,249,251,248,237,232,210,167,125,94,90,85,98,127,210,186,130,141,131,87,164,247,234,236,234,232,229,226,247,249,251,247,236,240,214,165,134,100,88,95,104,107,113,110,122,133,103,141,249,239,237,234,233,233,230,227,248,249,253,244,236,246,212,164,133,103,85,95,106,114,120,112,117,119,115,241,244,239,238,235,233,232,231,229,249,250,254,240,239,242,205,159,137,107,86,96,106,110,120,121,108,89,207,254,241,241,239,237,234,233,231,229,250,251,254,239,240,236,200,158,142,112,86,95,109,114,118,120,90,143,255,242,242,243,240,238,235,233,232,229,249,251,253,238,241,227,193,161,144,112,86,99,115,120,121,101,109,250,248,245,244,243,241,240,238,234,232,230,251,252,253,237,235,213,186,156,139,110,85,99,116,115,113,75,177,255,245,249,246,242,241,240,239,235,232,230,251,253,253,236,227,210,183,154,135,110,87,97,111,112,89,106,253,250,249,249,248,244,242,240,238,237,233,231,251,254,251,237,219,208,177,147,126,106,88,95,104,98,77,216,255,250,250,249,248,244,243,241,239,237,235,232,251,252,251,236,212,202,171,143,118,100,86,91,91,75,188,255,251,253,252,249,247,244,244,241,239,236,234,232
15,85,90,92,93,98,99,103,116,126,134,141,145,152,154,157,159,162,166,169,173,175,176,179,181,183,184,185,186,85,88,87,86,92,96,104,116,126,134,142,147,153,154,157,159,164,167,169,174,176,178,181,184,186,184,186,186,88,81,117,152,108,95,100,115,127,136,141,149,154,155,156,159,164,167,170,174,177,178,181,184,186,184,186,188,90,71,157,196,170,146,127,118,124,129,143,152,155,157,156,159,164,168,172,175,179,180,182,183,185,185,188,189,88,80,111,169,158,155,163,152,148,133,131,133,141,147,154,161,168,173,174,176,177,181,182,184,186,187,189,191,86,90,84,109,121,115,137,149,154,159,150,139,137,135,139,140,141,150,160,171,181,180,183,184,188,189,190,192,86,87,91,92,96,99,113,118,118,148,152,149,143,143,153,156,141,122,113,103,164,187,183,188,189,190,190,193,86,88,92,94,95,98,107,114,108,124,134,132,127,123,150,167,168,140,129,95,86,174,189,187,190,191,193,195,86,87,90,93,95,96,109,121,127,134,134,133,126,120,159,162,167,148,149,127,96,103,184,189,190,193,194,196,85,87,88,91,95,96,109,119,126,138,147,150,142,161,178,163,158,170,157,148,131,92,107,190,190,194,195,197,84,86,88,91,94,99,108,118,135,137,142,151,161,190,182,135,157,174,152,170,148,116,76,118,197,190,195,196,85,86,87,91,95,95,112,164,146,148,143,132,167,166,135,113,142,168,144,184,159,119,97,70,145,201,194,197,85,86,88,91,94,92,125,174,163,177,181,151,118,127,101,64,132,147,145,183,160,124,102,84,77,165,201,198,85,86,90,92,94,95,110,135,144,182,192,154,128,141,133,108,127,135,153,160,151,126,105,87,79,80,174,203,84,85,87,89,91,96,107,121,140,158,156,134,146,152,141,147,148,141,116,109,127,116,102,84,82,68,96,191,84,85,84,86,89,95,108,120,128,137,128,118,143,153,148,154,163,147,110,83,97,99,94,92,83,82,69,112,82,85,85,86,89,93,107,119,126,134,196,132,100,112,147,154,157,141,103,86,92,90,91,95,90,84,82,69,80,80,82,87,87,92,105,118,127,131,208,160,94,37,77,133,148,134,103,91,94,91,93,97,93,88,84,77,80,80,81,85,85,92,107,117,127,131,191,151,82,60,51,71,128,104,89,89,95,97,95,97,93,91,87,79,79,80,82,83,84,92,106,117,129,131,190,150,72,106,71,67,106,120,99,96,102,104,101,96,92,90,87,85,77,78,80,82,83,90,103,114,126,128,181,146,67,153,80,126,90,131,126,117,108,101,98,94,89,87,86,87,77,78,78,82,82,88,101,113,127,121,198,144,56,164,133,95,153,120,108,95,97,93,92,92,91,92,90,87,75,75,73,76,75,83,98,110,123,123,190,125,61,153,174,62,163,149,87,114,77,74,79,77,78,83,87,91,127,122,120,123,122,125,127,130,135,135,147,86,102,162,139,91,159,165,156,171,110,64,64,63,65,68,76,85,100,99,101,103,107,106,102,100,96,95,98,85,101,107,103,101,109,109,110,109,109,81,69,78,86,91,94,96,98,99,98,99,98,97,98,97,91,94,97,102,100,97,99,101,98,98,98,98,99,99,99,108,101,110,107,113,102,100,101,104,101,101,102,102,101,101,105,103,102,105,108,105,103,103,105,105,107,107,102,135,119,120,113,123,105,102,101,102,102,103,105,105,106,105,105,102,102,103,105,105,104,105,103,103,104,108,97,136,155,135,133,134
2,180,180,179,180,180,180,179,178,177,176,174,174,174,171,171,169,167,167,166,163,164,164,162,160,159,159,157,154,182,182,182,182,182,182,181,180,180,179,177,176,174,174,173,173,172,170,169,171,167,166,164,163,161,160,159,157,185,185,186,185,185,184,182,182,181,181,179,178,178,179,176,171,164,155,120,137,166,167,169,165,164,161,160,159,187,187,187,187,186,186,185,184,184,183,181,181,175,169,164,155,134,110,73,60,119,135,127,170,165,164,162,160,189,189,188,189,189,188,187,187,186,185,185,180,164,161,156,123,85,63,49,58,91,103,70,156,169,165,165,163,191,191,191,190,190,190,189,189,189,188,185,170,169,150,110,57,44,45,40,42,55,63,47,85,176,167,167,165,193,193,193,192,192,192,191,191,189,189,178,175,155,94,53,39,32,41,39,30,37,45,39,108,180,169,168,167,195,195,194,196,195,195,193,192,192,186,177,173,119,52,47,39,40,34,37,62,61,66,97,170,176,172,171,169,197,197,198,197,196,196,195,194,195,182,179,155,86,47,46,41,38,62,125,177,170,174,182,178,175,174,172,170,200,199,200,200,199,198,197,197,190,179,173,118,54,38,47,38,123,187,190,184,185,183,179,179,178,175,174,172,200,200,200,201,201,200,201,194,177,189,167,102,61,47,43,57,189,189,184,184,185,184,182,181,179,178,176,173,202,201,202,202,201,201,204,177,184,194,156,100,72,54,31,132,198,186,188,187,187,186,183,183,181,180,178,175,203,203,204,204,202,205,195,173,196,182,146,102,68,44,75,197,192,192,192,191,188,187,184,185,182,180,178,178,204,204,205,206,205,207,180,178,204,173,130,89,58,37,110,208,191,194,194,192,189,187,186,185,183,181,180,179,206,205,206,206,207,202,170,194,203,157,121,87,58,36,141,208,193,195,194,192,191,188,185,187,188,185,181,180,208,207,207,206,211,187,179,209,190,138,117,84,52,45,189,201,196,196,195,194,190,192,192,184,169,169,187,181,208,208,208,209,208,175,200,205,166,132,125,81,51,38,146,211,199,196,194,194,200,185,147,124,116,105,133,184,208,208,208,213,192,184,207,186,147,144,121,74,45,48,58,114,196,201,201,197,160,107,100,113,114,88,102,184,210,210,210,211,183,196,198,174,145,141,109,64,41,51,66,55,111,204,168,125,93,91,117,114,81,123,184,185,211,211,214,200,186,194,190,165,143,132,91,53,47,65,69,70,67,87,82,90,104,105,96,70,138,194,188,184,214,213,213,189,192,192,181,153,137,116,79,49,65,78,76,75,75,64,83,96,90,75,64,139,200,189,188,187,214,216,202,193,196,189,171,148,124,106,75,55,78,78,76,75,72,68,72,67,82,134,177,199,192,193,190,189,215,209,195,199,196,186,169,133,107,103,70,64,77,75,71,70,60,44,61,130,187,208,199,193,194,193,192,190,216,195,195,186,190,181,151,117,101,88,59,67,73,75,69,48,64,110,176,210,203,199,198,198,196,195,193,191,202,189,178,183,178,162,127,91,78,62,61,65,65,57,39,86,188,215,208,202,202,201,201,199,196,194,193,192,192,186,168,176,164,150,114,78,71,62,53,40,43,63,133,210,211,205,204,203,203,202,201,200,198,194,194,193,193,178,170,177,170,155,99,77,71,54,75,128,165,202,220,209,207,208,206,204,203,202,201,200,199,196,195,193,188,174,169,176,168,145,85,74,60,82,199,225,220,212,206,209,208,206,206,206,202,201,200,200,197,196,195,192
19,169,172,174,174,175,177,178,177,177,179,179,178,178,178,176,175,177,176,173,173,173,172,172,172,170,170,170,169,172,173,175,175,176,178,179,179,180,180,180,180,180,178,179,170,140,159,178,175,175,174,174,173,172,171,171,170,173,174,176,178,179,179,181,181,181,181,181,182,182,179,192,167,121,104,180,178,177,176,175,174,173,172,172,172,174,176,178,180,181,181,183,183,184,181,182,183,182,184,200,169,132,87,172,180,179,178,177,177,175,173,174,174,175,178,180,181,182,183,184,184,184,184,184,185,183,190,198,163,126,81,170,181,180,179,178,177,178,175,175,176,177,179,181,182,183,186,187,185,185,185,184,186,183,194,192,145,111,78,169,178,176,173,177,197,161,174,177,177,178,180,182,184,185,187,187,187,187,187,186,186,183,192,187,152,145,157,183,172,181,179,188,220,129,167,178,178,180,181,184,187,187,187,187,187,187,188,186,190,193,192,182,178,186,200,193,174,172,173,153,134,131,179,180,179,181,183,186,188,189,190,189,188,186,194,202,212,214,204,184,163,158,150,146,127,117,116,124,147,178,181,180,180,184,186,187,188,190,190,193,195,196,209,213,211,201,187,181,177,165,102,102,130,156,168,183,187,184,184,182,181,186,187,188,190,191,197,213,205,202,197,200,200,197,196,192,190,174,102,137,194,189,188,186,186,185,184,183,181,188,188,189,190,189,206,221,209,200,200,206,208,209,201,193,186,153,94,111,195,188,187,187,185,185,185,185,182,188,189,192,193,192,206,216,197,191,201,209,211,201,192,193,194,175,96,80,185,189,188,187,186,185,186,185,183,188,190,193,194,193,207,206,191,192,195,190,190,195,203,194,195,184,100,65,153,193,188,188,188,186,186,186,185,190,192,194,195,196,212,192,194,194,185,175,199,201,192,185,183,156,95,63,125,197,191,190,189,187,186,186,186,192,193,194,196,198,206,202,206,203,204,208,208,196,187,180,167,136,86,62,105,199,193,192,190,189,188,188,187,193,195,196,198,199,200,222,213,204,203,204,193,180,173,185,196,185,109,53,134,199,193,193,192,190,189,188,188,195,195,198,200,201,197,219,217,199,192,174,146,170,204,202,190,185,118,77,188,196,195,193,193,192,191,191,189,195,197,200,200,202,198,202,210,196,190,180,188,209,200,180,166,155,102,72,184,198,196,195,194,194,193,192,191,195,198,200,201,202,201,199,207,216,208,199,202,197,180,167,150,127,83,83,192,198,196,196,196,196,195,193,191,197,199,201,203,204,204,200,204,216,202,187,189,180,164,140,105,77,88,171,201,198,198,197,197,196,196,195,194,199,201,202,203,206,207,196,204,205,194,176,168,147,123,93,64,54,160,208,200,199,197,197,198,196,196,195,195,199,202,203,205,206,207,197,201,200,186,164,150,132,104,78,69,102,206,202,201,200,200,200,199,197,196,195,195,198,201,204,207,207,207,198,192,195,181,156,144,139,103,77,71,117,211,203,203,202,202,202,201,200,198,197,196,199,201,204,207,208,209,198,186,185,179,152,134,109,88,79,74,83,202,205,203,203,203,202,201,201,199,197,196,199,201,203,205,207,208,196,185,177,178,165,144,111,91,82,74,80,198,204,202,202,201,201,200,200,197,195,194,199,201,203,205,206,209,189,188,183,174,160,146,113,92,82,74,89,203,204,203,202,201,200,200,199,198,196,195,199,202,204,206,207,210,183,197,201,189,156,127,101,84,79,69,132,208,204,203,203,201,201,202,200,199,196,195
17,135,139,141,147,153,157,160,164,167,169,171,173,174,175,175,174,175,174,173,165,172,173,172,172,172,170,168,167,137,140,143,149,155,159,163,166,168,171,173,174,175,177,177,178,177,181,176,124,161,174,174,173,172,171,169,168,138,142,144,149,155,161,164,167,170,172,175,177,177,179,180,179,186,177,129,101,147,176,176,174,173,172,172,170,140,143,146,151,157,163,166,168,172,174,176,180,180,181,182,180,195,187,139,80,143,178,178,176,175,174,173,172,141,144,147,153,159,164,167,171,173,176,178,180,182,182,183,182,191,195,161,90,153,179,179,178,177,176,175,173,142,146,149,154,160,165,169,173,175,178,180,181,183,184,184,184,188,209,181,117,163,182,181,180,179,178,177,175,144,147,151,156,162,167,171,173,177,179,181,183,185,186,186,187,191,217,189,136,158,183,183,181,180,180,178,177,145,148,152,157,163,168,172,175,178,180,182,185,186,187,187,187,195,220,191,143,139,186,185,184,181,181,180,179,147,150,153,159,165,169,173,177,180,183,185,187,187,189,190,188,208,223,203,157,118,186,186,186,184,183,181,180,148,151,154,161,166,171,174,179,181,184,186,186,171,170,191,193,215,219,200,159,111,185,188,187,186,185,183,181,150,152,156,162,167,172,177,180,183,186,190,187,158,107,179,196,185,194,192,153,107,182,188,188,187,187,186,184,150,153,157,163,169,173,178,181,183,183,194,180,154,94,118,152,147,180,188,154,102,180,190,190,189,187,187,186,152,154,158,164,170,175,178,183,195,191,192,165,154,133,103,98,141,187,175,156,106,179,192,191,189,189,188,187,153,155,160,167,172,177,181,192,209,197,206,196,188,162,114,85,137,172,167,148,111,169,193,193,190,190,189,189,154,157,161,168,173,178,183,192,206,162,183,195,188,168,143,104,97,132,142,131,107,153,194,194,193,192,191,190,155,157,162,169,174,180,184,188,198,164,114,127,155,170,169,137,94,83,105,110,102,142,196,195,194,194,192,191,155,158,164,170,175,181,186,188,204,177,132,74,103,151,183,163,127,93,80,92,91,150,197,196,196,195,193,192,157,159,164,171,176,182,186,190,217,191,196,107,104,165,195,171,147,117,79,73,76,156,198,198,197,197,195,193,158,160,165,172,178,184,188,190,223,206,168,130,130,218,202,177,153,125,76,59,66,170,199,199,198,197,196,195,159,161,166,173,180,185,189,191,224,207,160,164,196,215,203,164,151,116,72,60,76,193,201,201,199,199,197,196,159,162,167,174,180,186,190,192,225,200,187,181,226,200,191,169,135,110,72,59,129,203,202,201,200,200,199,197,160,162,168,175,181,186,191,195,222,212,191,191,224,200,190,182,138,96,69,63,182,205,203,202,201,200,200,198,161,163,168,176,182,188,192,195,218,217,193,198,214,193,173,166,125,84,67,79,200,205,204,204,202,201,200,199,161,163,169,176,183,188,193,196,211,219,194,180,194,169,151,134,96,73,64,115,207,206,206,204,203,202,201,201,161,164,170,177,183,188,193,197,206,212,181,158,168,156,136,111,85,76,66,174,209,208,207,205,204,203,202,201,160,162,170,176,182,187,189,187,203,205,155,144,158,167,145,113,88,73,101,206,209,208,207,206,206,203,202,202,159,161,169,176,182,187,127,60,166,197,186,180,168,171,154,114,87,68,160,208,209,208,207,206,204,203,202,201,159,161,169,176,183,169,86,51,126,195,189,176,169,166,153,115,82,76,190,209,209,208,208,206,205,203,202,201
8,170,172,173,173,174,174,174,175,175,174,173,173,173,171,170,170,169,168,167,166,166,164,162,161,160,157,156,155,172,173,174,174,175,176,176,177,177,177,176,175,175,173,172,172,171,169,168,166,166,166,165,163,161,159,157,156,174,174,175,177,176,176,179,179,178,178,178,177,177,176,174,174,173,172,171,169,167,167,166,164,163,161,158,157,174,175,177,179,164,138,174,181,180,180,180,179,178,177,177,175,174,174,173,171,170,169,168,166,165,162,159,158,176,177,178,180,146,99,157,183,181,181,181,180,180,179,179,177,176,175,175,173,172,171,170,168,166,164,162,159,177,179,180,176,126,90,157,186,184,183,183,182,181,180,180,180,179,177,177,176,174,172,171,169,167,166,165,162,179,180,182,174,117,89,170,186,186,186,185,184,183,182,182,180,171,162,170,173,162,172,172,170,168,167,166,164,180,182,182,169,107,91,179,187,187,185,176,180,186,183,182,179,147,114,110,150,128,159,174,171,169,168,166,165,181,182,183,174,111,89,176,189,186,161,127,128,172,158,137,143,145,120,87,109,113,136,177,174,172,170,168,166,183,184,186,176,118,85,169,190,175,152,133,108,124,136,107,92,135,132,99,76,105,110,172,175,174,172,170,168,183,186,186,174,119,81,148,192,170,162,148,121,103,133,112,93,133,130,98,65,89,87,134,176,175,172,171,169,183,186,187,180,146,107,123,189,163,162,160,128,96,126,126,99,121,116,84,59,78,95,89,156,176,173,171,170,184,186,188,186,169,126,110,169,152,148,164,132,95,111,132,98,99,117,95,59,72,98,77,140,178,174,172,171,185,188,189,189,175,133,126,141,136,127,157,130,97,90,124,99,86,134,116,71,85,102,80,157,178,174,173,172,186,188,190,191,186,166,156,133,130,115,138,130,92,75,114,102,70,121,111,69,99,101,91,173,179,176,174,173,187,187,190,191,192,179,155,126,107,106,123,129,98,73,85,80,48,59,70,82,112,93,109,181,180,178,175,173,187,188,191,192,194,181,142,114,93,86,99,135,125,88,61,59,86,96,98,128,123,82,130,184,181,178,176,174,187,189,192,193,193,180,155,131,103,91,93,135,136,99,77,100,139,144,132,126,113,73,150,185,181,179,177,175,188,190,192,194,194,189,169,139,105,91,89,123,127,102,91,133,152,149,136,103,88,79,170,183,181,179,178,177,188,191,194,195,194,189,173,143,114,99,91,113,144,144,146,164,156,140,125,91,67,122,185,183,181,179,178,178,190,193,195,195,194,187,175,151,126,105,98,115,167,177,178,171,149,129,113,78,78,172,187,184,182,180,180,179,191,193,195,196,194,184,171,152,128,105,105,125,173,174,168,158,135,117,100,67,130,189,187,185,183,181,180,179,192,193,195,196,195,181,167,156,132,110,111,133,168,166,161,146,124,108,84,81,176,190,188,186,184,182,180,179,192,194,196,197,198,187,170,161,135,117,114,136,161,163,155,135,114,96,69,131,193,189,187,187,185,184,181,179,192,194,195,197,198,195,177,168,144,124,111,132,154,152,143,122,100,78,82,179,194,191,188,188,186,185,182,180,192,194,195,197,198,197,186,170,146,126,113,124,143,137,125,105,83,64,142,195,193,191,189,188,186,184,181,180,192,194,195,197,199,198,189,167,145,125,116,120,132,126,109,90,65,114,192,196,194,192,190,188,186,185,182,181,193,194,196,197,199,198,189,164,144,128,123,119,125,121,102,80,79,178,198,196,195,193,190,188,187,185,183,182
19,112,114,117,120,121,125,126,127,128,128,128,129,129,131,132,132,132,133,133,132,133,131,133,134,132,131,132,130,114,117,122,125,126,128,130,131,131,132,131,132,134,135,136,137,136,135,136,137,137,136,137,137,136,136,136,133,119,122,126,129,131,132,134,135,136,136,136,137,137,139,143,139,138,139,140,140,140,139,139,139,138,139,138,137,124,126,130,133,135,136,136,138,139,140,139,144,138,94,112,149,141,144,144,144,144,143,143,143,142,142,140,139,126,129,133,136,137,139,139,141,142,143,141,156,145,93,60,149,146,146,147,146,146,146,147,147,147,146,145,144,129,132,136,139,141,143,144,144,145,146,145,160,151,108,41,132,160,155,154,152,150,150,149,150,149,149,148,148,132,137,139,142,144,146,147,148,149,151,150,160,152,103,42,113,133,128,149,150,151,156,158,155,155,153,151,151,137,140,142,145,146,148,150,151,156,158,155,158,142,123,134,142,116,82,111,113,106,117,124,148,147,153,154,152,139,143,145,147,150,152,153,155,153,149,150,146,147,149,141,127,111,76,91,117,114,110,97,122,101,136,162,155,142,145,147,151,153,154,156,151,120,119,128,132,133,126,122,125,119,76,52,79,86,81,76,77,108,156,161,158,144,147,150,153,156,157,162,139,113,110,110,115,120,127,124,125,118,61,125,154,146,138,141,150,166,165,162,161,145,149,153,155,158,159,166,135,132,116,99,102,109,113,108,103,103,65,137,179,170,173,173,171,167,167,164,163,148,152,154,158,161,161,160,163,158,116,88,97,102,112,121,113,103,74,92,180,167,169,169,170,169,168,168,166,151,154,156,159,162,164,158,165,169,138,109,81,81,95,100,89,84,54,97,183,168,172,171,172,171,170,169,168,152,155,159,161,163,166,162,153,164,171,126,90,87,96,98,82,71,45,132,185,174,176,175,174,174,172,170,170,153,157,161,164,166,166,160,165,166,154,111,99,95,92,84,65,54,41,153,183,179,177,175,176,175,174,173,174,156,159,163,167,168,167,162,171,166,143,114,96,100,76,42,19,31,62,179,177,179,179,177,177,177,176,175,175,158,161,165,167,171,168,164,171,162,133,99,103,125,61,15,5,26,112,188,176,179,180,180,178,178,177,175,176,160,163,168,170,173,172,161,168,158,127,97,118,110,44,8,14,79,179,180,179,181,181,182,181,179,179,177,177,161,165,169,172,174,175,160,161,153,118,102,129,95,48,27,12,137,193,179,183,183,182,182,182,181,181,180,178,163,166,170,173,176,176,155,150,144,119,128,135,89,44,35,29,161,189,183,185,184,183,184,184,183,183,182,181,164,167,170,173,175,178,154,145,145,134,139,124,75,42,31,63,192,182,186,186,186,185,185,185,184,184,183,183,165,168,171,174,175,178,146,147,148,136,129,102,62,41,29,120,198,183,186,186,187,187,186,186,185,185,184,184,167,169,173,176,177,178,143,152,140,118,110,80,54,40,54,178,189,187,186,189,189,189,188,188,188,188,187,186,168,171,173,177,180,177,144,152,138,112,91,58,52,37,114,201,187,190,189,190,190,190,189,190,190,190,190,187,170,173,174,177,183,175,147,170,147,112,78,48,45,26,144,199,189,191,190,191,191,191,190,189,189,190,190,189,169,172,176,177,184,166,152,169,134,99,67,47,32,52,188,192,190,191,191,192,193,192,191,190,191,190,191,189,167,170,176,177,185,155,157,154,105,81,63,54,19,102,206,187,191,191,191,192,192,191,191,191,190,192,192,190
24,100,106,113,118,122,125,128,131,133,136,139,142,144,146,148,149,150,151,153,155,156,158,158,158,158,158,158,158,102,108,114,119,123,127,129,132,135,137,140,144,146,147,149,151,152,154,156,157,158,159,159,159,159,159,159,160,104,109,116,120,124,128,130,133,137,139,142,145,148,149,150,152,154,156,158,159,160,160,160,160,160,161,161,161,105,111,118,123,126,129,131,134,138,141,143,146,149,150,152,154,155,157,159,160,161,162,162,162,163,163,163,164,107,112,119,124,128,131,132,136,139,143,146,148,150,151,153,155,157,159,159,161,163,164,164,164,164,165,165,165,108,114,120,125,132,134,126,135,140,144,146,149,151,152,155,157,159,160,161,163,164,165,165,165,166,166,166,166,109,115,121,127,142,133,108,130,142,145,148,151,153,155,157,159,160,162,163,164,165,166,166,167,168,168,168,168,111,117,122,132,150,120,101,132,143,147,150,152,155,157,159,160,161,163,164,164,163,165,167,168,169,170,169,170,112,118,123,142,151,108,107,137,145,148,150,153,155,156,159,161,163,164,159,147,134,143,165,170,171,171,171,171,113,119,126,154,145,104,117,140,148,144,137,148,151,141,146,160,165,161,137,108,93,113,160,172,172,172,172,172,114,120,132,164,143,124,129,137,156,141,114,132,145,126,116,143,166,150,110,84,93,130,166,173,173,173,173,173,116,121,140,170,155,162,145,133,155,137,103,126,137,119,98,125,164,136,95,91,137,165,173,174,174,174,174,174,116,122,150,176,174,182,153,132,149,128,93,113,125,108,96,133,150,116,89,118,166,174,175,176,176,175,175,176,117,124,159,180,178,191,155,127,143,121,83,85,113,115,118,138,125,95,95,148,174,176,177,177,177,177,177,177,118,127,168,186,176,183,146,117,142,123,104,112,134,137,128,123,108,86,116,168,177,178,179,178,178,178,179,179,120,136,172,177,165,167,134,110,149,160,160,159,148,131,113,103,96,91,142,177,179,179,179,180,180,180,180,180,122,152,164,154,143,147,137,134,175,190,182,166,143,119,99,90,86,103,162,180,181,180,180,181,182,182,181,181,134,173,167,146,131,129,146,179,197,193,181,162,135,109,90,82,81,125,176,182,182,182,182,183,183,183,182,182,154,190,172,151,136,130,157,197,195,183,169,147,122,99,83,77,82,144,181,183,184,184,184,185,184,184,184,184,179,199,177,162,154,162,186,198,185,168,154,131,108,91,80,75,88,156,183,184,184,185,185,186,186,186,186,185,195,205,184,170,165,180,192,185,169,153,140,119,98,85,78,76,105,168,184,185,186,186,186,187,187,187,187,186,200,212,192,175,165,175,183,174,160,142,130,109,90,78,73,84,137,180,185,186,187,187,187,188,188,188,187,187,192,214,196,179,169,171,176,171,154,136,122,101,82,72,77,117,170,185,186,187,188,188,189,189,189,189,189,189,174,205,193,179,173,167,165,164,146,126,110,90,72,78,119,163,182,185,187,188,189,190,190,189,190,190,191,191,160,193,191,181,175,164,153,156,141,120,101,79,72,117,166,181,185,186,188,189,190,191,191,191,191,192,192,192,153,189,192,179,169,160,147,148,136,116,95,72,93,156,179,183,186,187,188,189,190,191,192,192,192,193,193,193,154,192,193,174,159,157,144,140,131,112,92,74,116,172,182,184,186,188,189,191,191,192,192,193,193,194,194,194,157,194,193,168,153,157,141,135,129,110,89,77,125,175,182,185,187,189,190,191,192,193,193,194,194,194,195,195
3,186,189,191,193,198,199,201,201,202,202,202,202,203,202,201,196,215,217,130,179,199,193,192,191,188,186,185,183,188,192,194,195,199,201,203,205,205,206,205,204,205,204,204,198,220,204,115,151,206,194,193,193,191,189,186,184,189,194,196,198,201,204,205,207,208,208,208,207,207,206,205,201,219,193,116,141,208,196,195,195,193,189,187,186,191,195,198,200,203,206,208,209,210,210,210,209,209,208,207,204,219,196,116,137,208,198,198,196,193,192,190,187,194,197,200,203,205,208,210,212,213,212,212,212,212,211,210,205,223,221,138,130,206,200,199,198,195,194,192,188,197,200,202,206,208,210,212,214,216,216,215,215,214,213,212,206,230,226,138,121,205,202,200,200,197,194,193,191,198,202,205,208,211,214,216,217,217,217,218,217,216,215,215,207,234,215,127,118,208,204,202,201,198,195,194,193,200,203,208,211,214,216,218,220,221,220,220,220,218,218,217,209,235,214,130,121,212,207,205,202,200,198,195,194,202,206,211,214,216,218,221,222,223,223,223,223,222,220,218,214,247,210,132,121,212,208,207,205,202,200,198,195,203,208,213,216,218,221,223,225,226,227,225,225,224,220,222,210,194,168,110,118,217,208,208,207,203,200,198,196,205,211,215,218,221,224,226,227,228,228,228,227,225,228,250,204,129,96,74,141,224,210,211,209,205,202,200,197,207,213,217,220,224,226,228,229,231,230,230,226,224,205,201,207,158,115,57,186,226,212,213,211,208,205,201,199,209,214,218,222,225,228,230,231,232,232,227,243,242,170,105,171,234,146,101,164,209,221,216,212,209,207,204,201,210,215,219,223,227,230,231,234,228,237,198,155,215,177,123,146,241,139,116,96,132,157,214,214,210,209,207,203,210,216,221,224,229,232,233,232,249,249,199,129,162,203,145,120,200,150,136,116,149,109,185,223,210,210,208,206,212,217,222,226,229,233,233,241,252,235,220,174,129,197,143,107,162,162,150,129,144,95,174,226,212,212,210,207,212,218,223,226,230,234,233,255,252,221,230,179,122,163,142,106,151,121,111,143,121,84,170,229,214,214,211,209,211,217,223,226,230,233,233,251,243,192,198,177,113,128,139,88,182,184,92,167,152,86,145,230,214,212,210,208,215,218,224,229,232,234,236,239,239,211,198,155,91,121,122,68,177,192,96,147,157,84,124,231,214,213,209,206,214,220,225,229,232,234,237,243,253,233,210,143,116,126,136,97,160,165,138,139,127,78,170,227,213,213,215,218,213,220,226,230,232,234,236,241,255,241,226,148,125,125,150,164,220,196,164,142,89,108,229,227,229,225,203,157,216,223,229,233,236,239,242,244,255,251,221,165,145,134,202,232,208,173,133,125,85,180,235,191,163,132,83,55,161,162,164,165,167,167,164,164,239,246,212,189,159,149,214,223,185,151,125,112,86,118,96,55,39,35,43,48,133,135,135,136,134,132,134,118,199,246,213,193,174,140,177,189,158,130,113,92,60,38,36,38,46,43,35,39,142,143,142,142,142,143,154,120,117,243,214,193,173,130,131,130,123,108,92,60,42,45,46,38,37,47,42,35,143,143,141,141,141,141,143,114,54,144,206,195,150,110,112,110,112,82,43,59,35,31,42,41,33,37,45,44,144,145,146,144,143,144,137,87,70,64,108,139,118,114,105,97,84,41,11,42,52,21,30,39,37,34,37,44,144,145,145,143,142,146,117,73,74,72,59,72,103,95,75,66,42,15,13,28,53,37,17,34,37,35,34,42
14,168,171,176,179,181,183,184,186,188,189,189,191,191,192,192,192,192,192,193,191,190,190,189,189,189,188,187,186,168,174,177,180,184,185,187,189,190,191,191,193,193,195,195,195,194,196,194,194,194,193,191,191,191,190,189,189,170,175,178,182,185,188,190,191,192,193,195,195,196,197,197,198,196,197,199,198,197,195,194,193,192,192,191,190,172,175,180,183,187,190,191,193,195,195,196,197,199,199,199,201,197,198,189,194,198,199,197,195,196,195,193,192,174,178,182,184,188,190,192,194,196,197,198,201,202,200,201,200,217,205,180,183,182,178,201,199,196,198,197,195,175,180,184,188,189,191,193,196,197,197,201,203,203,202,203,221,217,206,192,181,172,156,154,195,201,198,198,197,177,182,186,189,191,192,194,198,199,200,202,203,204,204,221,222,222,198,190,207,180,150,114,135,206,200,200,199,178,184,187,190,193,196,198,199,202,202,204,205,204,212,223,214,209,146,105,176,153,185,114,77,153,211,199,201,180,184,187,191,195,197,199,200,203,204,206,207,214,228,216,153,122,114,86,82,115,212,154,93,120,209,202,202,183,186,189,194,197,198,200,202,203,206,206,217,236,234,202,156,111,77,75,74,67,174,183,122,98,199,207,204,183,188,192,196,197,199,202,204,207,208,209,234,232,200,161,140,118,87,71,74,87,171,156,132,100,173,215,204,182,188,193,197,198,202,204,205,208,203,228,239,221,188,128,95,96,84,73,96,190,218,199,177,112,150,218,204,184,188,194,198,200,202,205,209,203,218,249,229,215,185,132,96,76,72,86,210,220,204,198,157,94,169,219,208,186,190,194,198,200,203,206,206,210,247,237,224,210,163,131,104,68,65,183,228,213,204,187,156,87,134,224,207,187,191,196,200,203,204,209,206,242,251,233,224,198,170,137,88,60,75,127,178,232,191,169,145,102,91,199,216,188,193,197,201,204,208,206,222,255,247,232,215,195,159,121,80,78,91,86,100,195,160,168,144,122,89,181,222,188,195,199,202,206,210,206,247,255,241,225,211,187,136,104,79,107,117,119,116,107,148,170,149,100,128,218,215,190,196,200,204,205,205,223,255,243,234,217,199,166,131,101,99,125,129,130,137,120,145,159,124,105,210,220,216,190,196,201,204,215,211,249,250,237,223,205,193,156,133,107,115,130,134,132,130,131,135,136,102,192,226,216,218,191,196,202,206,150,206,255,243,227,215,201,180,164,133,110,121,134,131,123,122,134,104,89,185,229,219,220,218,192,197,210,166,92,112,203,237,208,190,178,167,145,109,110,113,125,127,117,117,99,90,173,232,220,222,221,221,192,201,193,109,106,98,96,148,186,176,143,114,87,89,99,99,110,114,100,100,155,212,232,223,224,223,222,222,193,205,138,105,98,97,94,91,102,106,97,82,75,79,82,82,83,83,109,194,238,231,227,226,224,224,223,223,202,168,103,105,93,92,91,96,81,44,59,60,56,55,57,51,112,173,220,236,227,228,229,227,227,226,224,224,191,122,104,94,92,90,89,86,98,59,43,55,50,47,48,40,90,242,232,229,230,230,229,228,228,228,226,225,142,102,96,93,91,88,84,84,92,69,35,49,48,46,48,34,112,240,228,232,230,231,231,229,229,229,227,226,114,98,86,87,85,78,79,79,94,67,33,44,44,42,46,33,187,246,231,233,233,232,231,230,230,229,228,227,113,99,91,78,67,110,97,70,96,53,34,43,41,41,39,54,222,237,233,233,233,233,231,231,231,229,228,228
22,148,152,156,160,163,167,171,175,177,181,186,185,185,187,189,191,192,192,190,190,191,192,194,194,194,192,194,192,152,157,160,164,167,171,177,179,182,185,188,188,194,193,193,195,194,199,195,196,197,196,198,198,197,197,197,197,154,161,163,167,171,174,179,182,186,188,192,193,153,192,198,199,194,155,200,197,193,202,202,204,202,202,201,199,157,163,167,170,174,177,181,187,189,191,199,187,103,179,207,206,206,99,188,213,158,155,213,204,204,204,206,204,160,165,169,173,177,181,185,190,194,193,209,178,87,184,207,218,203,107,193,225,159,115,218,207,208,208,208,208,163,167,172,177,180,185,189,193,196,196,215,175,81,187,208,228,199,116,201,223,157,112,216,210,211,212,212,212,166,171,175,179,182,188,192,195,200,198,217,188,87,187,214,228,184,121,208,228,167,120,218,214,214,214,215,215,168,174,177,182,186,191,194,199,205,201,220,205,89,178,219,225,165,118,213,226,164,127,223,217,218,217,217,215,171,177,180,185,190,194,198,203,208,204,227,207,87,175,226,211,147,121,217,226,162,128,228,220,221,221,221,220,173,178,182,187,192,195,200,205,210,207,228,220,101,165,239,187,139,120,224,228,163,135,232,221,222,222,223,223,174,180,185,188,192,197,201,205,211,211,223,234,159,139,147,169,154,123,231,234,153,145,236,221,224,225,224,225,176,182,187,191,195,199,204,208,212,214,222,222,190,156,128,134,148,142,237,227,142,160,241,224,227,228,229,228,178,183,188,193,196,201,205,211,215,213,231,253,212,203,203,178,114,153,234,218,131,177,241,227,229,229,230,230,180,186,191,194,199,203,207,212,216,221,224,208,214,156,221,200,127,98,186,179,116,198,238,229,230,231,232,231,183,189,193,197,202,205,210,215,217,225,216,182,196,87,133,210,168,98,99,128,96,212,237,231,230,232,232,232,184,190,194,199,204,206,210,216,218,230,233,180,181,125,43,168,213,148,88,84,99,230,237,234,234,234,235,234,185,191,195,199,204,210,214,217,219,238,224,165,157,137,70,103,236,192,125,78,102,239,237,236,237,238,236,236,186,192,196,200,204,209,214,219,219,245,234,177,125,105,91,177,244,204,152,105,103,241,237,238,238,239,238,237,187,193,197,201,206,210,213,219,221,252,228,168,128,134,140,251,237,184,149,109,102,246,239,239,240,239,239,239,189,195,199,202,207,212,216,221,224,245,220,170,160,138,188,250,216,170,126,88,125,250,238,240,240,242,242,241,190,196,200,205,210,213,218,223,224,242,216,167,165,134,213,248,195,155,119,78,156,255,240,243,243,246,246,245,190,195,201,206,209,214,219,222,224,235,213,166,177,146,228,247,181,141,110,79,166,255,243,247,248,248,247,246,189,195,201,204,208,214,219,223,225,226,214,175,195,151,219,228,174,134,104,72,183,255,243,247,247,248,248,248,189,195,201,205,209,213,219,223,228,222,213,183,197,154,207,204,159,126,98,74,204,253,244,247,247,247,249,248,192,196,201,206,211,214,219,223,227,227,220,188,183,144,184,182,139,124,94,86,225,247,246,247,247,247,248,247,192,197,202,207,212,215,219,225,226,226,221,181,151,130,175,155,134,128,88,130,249,244,246,247,248,248,247,247,191,197,202,207,211,216,220,225,222,228,224,187,158,152,183,138,148,113,79,208,253,246,247,247,248,248,248,246,191,196,201,206,211,215,220,224,217,233,233,201,183,163,179,132,150,82,135,253,244,247,248,248,248,248,248,248
16,90,90,92,93,94,108,123,136,148,159,168,175,179,180,184,190,196,202,207,211,216,220,222,226,229,231,235,238,89,89,92,92,94,109,124,137,148,157,169,176,178,180,183,188,195,202,208,213,216,220,223,227,230,232,236,238,88,88,90,91,93,108,123,137,146,157,168,175,178,176,183,187,191,199,206,211,214,219,221,226,230,233,235,237,87,87,92,91,93,110,122,136,148,160,169,175,176,177,177,190,197,199,204,210,214,218,220,225,230,232,235,238,87,87,90,90,95,110,123,136,147,154,164,166,197,204,165,146,174,205,212,208,212,218,223,226,230,232,236,239,87,86,88,88,94,109,122,137,141,168,180,201,227,200,167,136,108,124,176,215,220,219,222,225,231,233,237,238,85,86,88,86,92,106,124,124,166,239,222,224,208,171,147,143,119,92,81,125,188,215,227,231,230,232,236,237,86,87,87,87,90,108,117,129,233,232,205,193,183,160,138,118,116,106,88,80,88,119,156,193,227,239,235,237,83,85,87,84,91,103,117,227,234,188,178,170,155,142,117,103,108,115,96,93,87,81,81,93,134,198,237,244,82,84,87,83,91,86,173,240,185,170,158,141,124,110,101,101,92,123,106,102,95,87,81,78,77,93,150,219,75,74,76,75,78,151,193,179,162,152,129,111,100,90,97,82,81,118,117,127,100,92,81,77,80,80,75,103,137,130,133,124,163,220,168,154,145,121,101,94,80,84,91,53,84,121,127,131,106,97,81,77,76,80,83,75,126,131,131,129,243,220,173,136,109,98,89,74,69,85,63,35,102,124,128,133,112,102,85,83,75,76,79,80,121,128,105,170,248,202,152,110,77,74,64,57,71,63,22,34,108,120,126,146,131,117,94,86,74,74,77,75,133,127,138,235,213,175,117,83,61,68,48,34,28,16,6,17,103,114,134,165,155,129,111,78,71,76,75,71,136,116,199,210,167,130,88,65,56,59,26,6,3,0,3,5,87,116,143,178,141,136,121,71,69,72,71,68,123,156,226,175,121,86,68,60,61,59,36,2,0,0,0,0,55,107,169,166,110,138,120,67,69,65,69,68,123,221,204,138,87,56,55,63,68,70,71,47,3,7,14,17,11,134,194,132,99,126,97,66,69,66,68,63,177,206,145,93,68,93,72,71,74,77,75,67,42,45,47,27,62,201,164,108,93,94,71,65,65,66,62,60,214,142,95,53,101,127,91,103,91,86,80,68,62,62,55,36,168,191,136,93,77,67,60,66,64,61,64,69,157,98,55,82,123,98,98,98,94,86,80,70,60,58,33,95,216,168,113,75,64,57,58,61,56,63,72,72,102,63,85,130,130,123,120,100,84,76,82,63,62,79,86,178,218,171,88,61,57,60,63,60,62,69,68,67,109,109,129,130,133,133,131,131,121,114,122,116,120,133,125,218,222,178,82,40,51,67,65,63,65,66,69,69,134,132,129,129,131,132,131,133,133,135,133,135,135,133,127,221,228,184,99,50,107,85,79,73,71,73,72,73,130,127,128,130,132,131,131,132,130,131,133,133,133,135,122,188,209,167,87,112,168,99,91,91,89,86,77,73,129,130,128,129,132,130,129,131,131,133,132,133,134,137,127,145,176,125,83,122,179,153,107,97,103,105,92,77,130,130,128,129,131,131,130,130,131,131,130,131,135,134,132,132,140,106,103,124,153,198,150,131,125,124,111,96,129,129,130,130,131,131,131,131,131,131,132,132,135,134,134,134,134,133,134,129,130,213,181,159,148,137,124,109
20,206,209,212,213,216,218,218,219,220,220,220,221,219,219,218,217,216,215,214,215,212,210,209,206,206,204,204,203,207,210,214,214,217,220,220,221,223,223,222,223,221,220,221,218,217,216,214,200,211,211,210,208,208,207,206,206,208,211,214,217,218,220,221,224,224,224,226,224,222,221,223,222,218,217,230,152,163,228,211,210,210,209,208,208,209,212,215,217,219,222,224,224,225,226,227,224,224,224,224,223,219,222,231,143,144,198,209,214,211,211,209,208,211,213,215,219,220,223,224,225,228,228,226,225,225,225,224,223,221,231,217,138,110,141,159,223,212,211,209,210,212,216,218,220,221,224,226,227,229,230,228,227,227,227,226,228,221,241,212,124,134,168,139,222,213,214,211,211,213,217,218,222,223,226,228,229,232,232,231,230,228,228,228,227,225,243,205,124,181,173,136,222,216,215,214,212,215,218,220,224,225,227,229,231,233,233,232,232,231,231,229,227,227,241,190,127,209,178,142,222,218,217,216,215,216,219,223,225,227,229,231,232,234,235,234,235,235,233,235,234,233,236,172,143,221,169,152,226,219,219,217,215,217,220,224,226,228,229,231,233,235,235,235,236,237,229,186,198,252,235,162,170,227,154,156,232,220,220,219,217,219,222,224,227,228,231,233,235,236,238,236,234,232,236,183,130,215,228,148,192,236,148,164,234,222,223,220,219,219,223,226,228,230,233,236,236,237,239,235,243,240,234,227,182,151,146,115,191,220,138,180,235,224,224,223,222,220,223,229,232,233,234,236,237,240,240,238,253,251,241,255,234,172,112,84,157,182,132,195,234,227,224,224,224,223,227,229,234,234,236,238,241,242,239,248,234,184,223,224,228,175,122,105,126,137,120,210,233,227,225,225,224,224,228,230,233,236,237,239,242,242,239,255,224,151,204,198,222,204,146,111,106,116,117,221,233,228,227,226,224,225,228,231,233,236,238,241,242,242,241,255,236,189,159,130,195,227,165,119,103,104,124,230,233,230,228,228,227,227,228,231,234,236,240,243,244,243,245,247,197,165,141,93,140,244,185,138,112,99,137,239,231,231,229,228,227,227,229,232,234,236,240,243,246,243,254,244,195,182,157,122,206,248,195,168,125,98,153,244,231,234,233,228,227,227,230,233,235,238,240,244,246,243,255,237,210,181,151,209,255,228,189,179,133,105,163,247,232,233,232,230,228,228,231,233,236,239,242,244,245,247,255,250,205,166,189,255,241,204,176,167,135,113,182,246,233,235,233,231,228,228,231,234,237,240,243,247,246,254,255,241,186,179,233,255,229,196,159,146,135,120,210,243,235,236,234,232,229,229,233,235,238,241,243,247,246,255,255,209,209,183,251,255,226,194,161,129,127,133,232,241,238,236,236,233,231,226,229,234,237,240,242,245,243,255,255,232,227,179,255,253,212,181,157,131,122,156,243,237,237,235,235,233,231,226,229,233,236,240,243,244,244,252,255,255,211,206,255,228,193,165,143,133,120,191,246,238,236,235,234,232,230,227,230,234,237,241,242,244,244,248,255,253,211,194,237,213,175,151,134,127,129,224,244,239,236,236,235,233,231,226,231,236,238,241,242,245,244,249,250,223,203,188,209,204,171,154,136,115,157,244,241,240,237,236,235,233,232,226,231,235,236,240,243,245,245,248,235,215,206,207,205,214,194,150,131,112,190,249,240,240,237,236,235,235,232,225,230,234,237,240,243,246,246,247,249,240,239,229,210,205,192,143,123,117,216,247,238,238,237,236,234,234,232
10,74,77,81,84,93,109,119,127,131,135,140,146,150,153,163,153,156,165,164,164,165,165,165,163,164,163,161,159,75,77,81,84,95,111,121,129,132,137,142,148,151,155,193,137,126,170,164,165,166,167,165,164,164,163,162,159,75,78,82,86,97,113,122,130,133,138,144,151,152,163,192,144,108,167,168,167,169,168,167,167,165,165,163,162,77,80,83,87,98,113,125,132,135,140,147,152,156,164,192,163,103,160,173,170,170,170,169,167,167,167,166,163,77,81,84,87,99,115,128,134,137,142,149,154,160,162,193,185,114,151,177,172,172,171,171,171,170,168,167,166,78,81,86,88,102,118,128,136,138,144,151,157,162,162,203,194,122,140,182,172,173,174,173,173,172,171,169,167,79,82,87,89,104,120,131,137,140,146,154,160,165,163,201,191,131,130,183,175,176,177,176,175,174,173,171,170,80,83,88,89,104,121,133,139,141,149,155,161,166,164,204,200,131,113,184,178,179,179,178,176,175,175,173,172,80,83,87,90,106,123,135,140,144,149,157,164,167,166,208,208,144,98,179,180,180,180,179,178,178,177,175,174,80,83,88,92,109,123,136,145,147,158,187,133,151,173,200,189,145,89,167,186,181,182,182,180,179,179,177,177,81,85,89,94,106,141,173,133,103,143,173,91,112,183,192,170,132,79,150,191,183,184,183,182,182,181,179,179,81,85,89,95,105,157,170,98,75,87,125,91,57,146,183,149,140,84,142,195,184,186,185,183,183,183,181,180,82,86,88,95,111,133,135,99,88,79,114,99,61,62,113,118,148,104,121,197,186,186,186,186,184,183,183,182,82,86,89,96,114,129,141,144,137,126,128,105,89,61,63,81,115,110,92,187,189,188,188,187,186,186,185,183,83,86,89,96,114,130,145,151,161,167,117,122,106,98,74,65,88,95,74,169,197,191,190,188,188,188,186,185,83,86,90,97,115,132,146,149,177,162,89,106,147,129,111,82,72,81,65,160,201,192,192,191,190,189,187,186,82,85,89,99,117,132,148,154,169,175,141,80,113,157,135,117,89,70,59,138,204,193,194,193,191,190,188,186,83,87,88,97,119,130,166,169,136,186,153,95,97,199,151,135,113,69,52,95,202,195,195,195,194,192,191,190,84,87,89,98,119,130,179,198,132,139,144,99,149,221,168,143,124,79,54,80,200,198,197,196,196,195,194,192,84,87,89,99,120,133,167,198,153,99,150,134,154,222,164,136,124,91,58,79,202,200,199,199,197,196,194,193,84,86,88,100,121,138,150,173,164,109,151,179,157,205,175,140,118,94,65,77,202,201,200,201,199,197,196,195,84,86,88,101,122,138,149,163,165,111,151,225,137,176,179,153,115,89,70,75,201,203,202,201,200,199,197,195,83,85,88,101,122,139,152,154,177,145,170,154,88,144,179,143,111,86,69,83,205,203,203,201,201,200,198,196,84,87,87,100,122,140,154,155,170,201,174,103,111,164,164,133,103,82,67,99,212,203,205,203,202,201,198,197,81,85,87,101,122,140,151,156,158,189,199,176,153,171,145,120,97,85,66,117,215,201,204,203,202,201,199,199,80,83,85,100,121,139,152,154,161,178,194,179,140,143,131,108,99,94,70,129,214,201,204,203,201,201,199,198,79,80,84,101,122,138,153,155,165,79,160,185,127,146,149,145,129,109,68,145,215,203,205,203,202,201,201,199,78,80,82,98,121,137,149,164,111,0,148,202,174,168,153,165,144,108,59,148,217,204,206,204,202,202,201,199
7,118,140,154,162,167,172,176,176,178,181,184,185,186,187,187,188,189,189,189,188,186,186,184,183,182,180,179,178,120,142,155,163,169,173,176,178,179,182,186,186,188,188,188,189,191,190,190,189,188,187,186,184,184,181,180,179,122,144,156,164,169,174,177,179,181,184,186,187,189,190,191,192,192,192,192,191,190,188,188,187,185,184,182,181,123,145,156,165,171,175,179,181,183,186,186,187,190,192,193,193,193,193,192,192,192,190,189,189,188,186,185,183,123,146,156,165,172,176,179,181,184,187,187,189,191,193,194,194,194,194,194,194,194,193,192,191,189,187,186,184,124,147,157,167,172,177,180,182,185,187,189,190,193,195,196,197,197,198,197,195,193,189,186,186,189,189,188,185,125,147,157,166,172,177,181,184,187,189,192,191,191,187,180,172,160,158,154,157,144,135,159,164,158,191,188,187,126,148,158,167,173,178,180,171,164,158,157,155,149,135,131,135,111,120,123,118,118,120,157,154,133,191,192,189,128,149,159,168,174,180,165,135,126,133,135,139,138,128,120,111,107,107,110,107,110,107,107,104,128,169,184,191,129,150,158,168,178,175,155,121,112,118,117,118,120,121,123,126,125,110,115,124,118,112,107,101,106,131,132,182,130,150,163,172,172,160,147,125,110,107,117,128,136,139,137,132,121,98,103,121,109,99,97,90,98,119,109,173,130,162,170,167,160,155,151,140,135,136,142,146,136,134,128,122,103,92,93,96,90,86,86,87,91,106,139,191,163,173,167,165,164,160,144,119,110,115,125,124,116,114,104,94,88,103,120,140,155,168,176,181,187,190,195,194,180,172,170,168,163,145,132,96,89,102,100,87,79,96,144,166,183,195,204,207,206,206,204,203,201,198,196,194,177,173,171,160,141,135,119,90,84,78,67,55,61,71,96,113,194,207,204,204,203,202,202,201,200,198,196,195,175,175,162,146,135,129,122,113,94,73,70,73,72,68,61,49,135,211,204,205,204,203,202,202,202,199,197,196,176,165,145,134,129,126,137,139,109,77,74,76,76,73,70,59,135,213,206,205,204,204,204,203,202,199,198,195,161,143,127,125,124,122,125,122,89,69,67,64,68,69,68,53,101,210,207,206,206,205,203,203,201,201,199,196,137,129,124,122,117,108,109,96,76,61,51,58,71,73,69,61,129,208,206,207,206,206,203,202,201,201,199,196,131,127,124,119,109,93,87,88,85,70,68,78,81,74,63,142,210,207,206,206,206,205,203,202,202,201,199,196,124,114,106,100,93,89,95,106,99,78,72,70,70,76,129,202,206,205,205,204,204,204,202,202,200,199,197,195,115,107,104,101,98,98,101,103,88,69,84,124,156,186,204,203,203,204,203,202,202,202,202,201,200,198,196,195,111,108,107,101,94,90,87,80,76,121,183,202,204,203,202,203,203,203,203,202,203,202,201,201,200,200,196,195,89,91,90,88,83,80,92,128,166,195,198,199,200,200,202,202,203,203,203,202,203,202,202,201,199,199,196,195,56,31,88,131,137,154,176,187,190,192,195,197,200,201,202,202,202,202,202,203,203,202,202,201,199,197,196,194,43,2,117,176,178,183,185,186,188,192,195,197,199,200,201,202,201,200,200,200,198,197,197,196,193,191,190,189,20,11,127,156,149,148,146,146,145,146,144,141,140,142,141,140,138,134,134,133,129,127,125,122,119,114,94,85,1,24,99,106,106,108,107,107,109,108,106,107,107,108,108,106,105,104,102,103,102,102,100,98,96,67,30,26
11,90,96,100,103,107,110,113,116,117,120,122,123,125,128,129,131,131,133,135,135,136,137,137,138,138,137,137,137,91,97,103,105,109,111,114,116,119,121,123,126,127,129,131,132,133,134,135,137,138,139,139,139,138,138,139,139,92,97,104,108,110,113,115,118,120,122,124,128,130,131,132,132,137,138,137,139,140,140,140,140,139,139,140,139,93,98,104,107,111,114,116,119,121,122,126,128,130,132,132,134,119,133,139,140,140,140,140,141,141,141,141,141,94,99,104,107,111,114,116,119,123,125,128,130,131,133,133,142,93,95,146,139,141,141,143,143,143,142,141,141,93,98,104,109,112,115,117,120,123,127,130,131,132,134,133,150,96,83,148,140,143,143,143,143,143,142,142,143,95,99,105,110,114,115,118,120,123,127,130,131,133,135,135,153,77,94,149,141,143,144,145,145,144,143,143,143,96,101,106,110,114,116,118,121,124,128,130,132,133,132,143,152,71,110,149,143,145,146,145,145,145,145,145,144,96,102,108,111,114,117,119,123,124,127,130,132,133,134,154,127,66,126,148,144,145,145,146,146,145,145,145,145,96,102,108,112,115,117,120,123,125,128,131,131,131,133,153,87,68,142,145,144,145,146,146,146,145,146,146,145,96,102,107,112,117,118,121,124,128,128,127,139,150,94,90,71,86,151,142,145,146,146,146,146,146,146,146,145,97,102,107,111,114,118,125,123,114,145,125,94,124,93,60,58,119,149,143,146,146,146,147,147,147,147,147,146,97,103,109,110,122,153,153,132,68,110,123,63,94,89,52,54,141,145,145,147,147,147,147,147,148,147,146,147,98,102,107,116,148,124,138,134,66,99,104,62,118,83,38,74,153,144,146,147,147,147,149,149,149,148,147,146,98,104,105,129,126,99,116,128,65,98,85,69,116,67,31,94,154,143,146,146,147,148,148,149,148,149,148,146,99,105,108,145,116,79,92,115,56,86,67,78,98,55,30,107,152,143,145,146,149,150,151,149,147,149,149,147,100,100,124,151,117,85,92,77,52,81,49,85,85,43,23,111,155,145,147,146,141,136,139,152,153,149,149,148,101,99,147,144,113,89,77,65,67,73,31,107,65,27,35,81,143,140,136,131,123,116,99,101,140,153,148,149,99,104,160,137,112,94,74,55,89,59,15,71,57,64,88,87,112,131,136,130,116,97,88,79,72,146,151,149,99,108,154,136,120,103,81,70,81,86,99,107,119,121,110,116,129,118,100,90,86,104,123,114,95,142,152,149,98,106,147,139,126,111,87,88,112,136,127,125,122,119,103,97,94,74,96,127,146,155,155,154,154,151,151,150,98,106,158,142,126,111,89,95,125,131,115,123,117,105,75,64,82,126,155,153,151,149,150,150,151,152,151,151,96,115,165,129,116,97,88,96,117,116,116,113,98,64,55,106,148,152,148,149,150,150,152,152,152,152,152,152,92,128,145,105,103,95,95,99,99,105,106,84,51,67,128,151,146,147,148,149,149,150,151,151,151,152,152,151,90,135,139,108,103,111,102,102,88,88,77,47,90,142,145,141,144,146,146,146,147,148,150,149,150,148,148,150,94,146,146,109,102,127,106,95,77,67,49,101,145,139,139,141,143,145,145,146,147,147,148,149,150,163,167,169,100,153,147,104,104,129,104,84,65,42,85,142,133,138,139,141,143,143,144,145,146,146,149,147,169,178,178,166,99,154,148,99,105,126,101,84,53,42,124,133,134,137,138,139,142,143,144,145,146,147,148,148,140,113,152,165
1,153,158,163,166,170,173,175,178,180,181,182,185,186,186,185,186,185,187,185,184,183,184,184,181,179,179,177,177,154,160,164,169,172,174,178,180,182,183,185,187,187,187,190,189,190,166,173,187,184,184,184,182,181,180,180,179,155,161,166,171,173,176,180,181,184,188,188,188,189,192,165,178,205,139,119,202,184,185,185,183,182,181,180,180,157,162,168,173,175,178,180,183,186,189,190,189,190,207,126,145,210,135,108,176,183,188,186,186,185,184,181,181,160,164,170,174,177,181,183,186,188,189,192,191,202,206,115,156,203,121,113,133,133,197,186,187,187,187,184,183,162,166,171,175,179,182,186,187,188,191,194,187,164,186,108,170,199,111,141,158,104,195,188,188,188,187,186,185,163,167,173,177,179,183,187,188,190,191,201,186,102,157,119,181,210,125,154,160,96,190,192,190,189,188,187,186,164,170,175,178,181,184,187,189,194,192,208,168,89,154,128,176,194,121,163,162,92,187,196,193,191,190,190,188,164,171,176,180,183,186,188,191,195,193,210,152,79,135,110,154,180,110,178,175,100,188,197,194,193,191,190,189,166,171,176,181,184,188,191,193,194,198,212,143,84,152,109,170,182,110,184,167,101,187,197,194,195,192,192,192,167,174,178,182,185,189,193,195,195,205,207,132,91,174,104,177,179,106,194,164,102,189,198,197,197,195,193,192,169,174,180,183,187,190,194,196,196,211,212,134,75,133,73,159,139,105,205,167,108,194,200,198,196,196,195,193,169,176,181,184,188,191,195,198,195,218,205,137,115,130,118,159,162,135,165,162,107,197,201,200,199,197,197,195,169,176,182,185,189,193,195,198,200,223,200,158,134,186,196,200,203,174,111,134,111,201,200,202,201,198,196,197,170,177,182,185,189,194,196,197,211,222,176,141,107,120,174,167,199,209,150,83,102,207,201,201,202,201,199,198,171,178,183,187,191,194,197,195,221,217,170,125,107,94,117,113,200,227,193,102,97,212,202,201,201,201,200,199,171,178,184,187,192,195,197,197,228,212,159,123,120,117,135,175,188,210,195,129,111,213,202,203,203,202,201,200,172,179,184,187,193,196,198,201,231,204,162,125,130,126,164,218,202,183,151,125,90,192,209,204,203,203,203,202,171,178,183,187,192,196,197,204,233,206,171,140,137,143,199,223,195,170,132,98,84,195,210,205,205,204,203,202,171,178,183,187,190,195,196,203,232,206,166,143,140,152,215,229,190,157,123,84,83,206,206,204,204,203,202,201,172,179,184,187,191,195,198,203,229,208,172,162,141,150,218,227,181,145,115,74,103,214,205,205,204,204,203,202,172,179,185,188,191,196,199,201,225,212,184,182,148,141,223,209,171,130,102,68,172,214,206,206,206,205,203,202,173,179,184,188,192,196,200,200,221,216,190,187,147,149,216,191,164,122,81,95,214,207,207,207,207,204,203,202,172,178,183,187,192,195,199,200,224,220,191,177,135,156,200,167,150,110,64,143,218,205,206,206,203,202,202,201,173,180,186,192,198,200,205,201,225,213,186,161,131,160,175,151,134,96,76,199,219,213,213,212,210,210,208,207,142,145,147,148,151,155,150,174,233,205,187,160,143,165,160,148,123,83,89,160,158,159,159,161,161,161,160,158,110,107,106,107,106,109,99,192,231,207,195,162,161,158,140,132,100,73,91,96,96,96,96,97,93,92,90,89,119,118,118,120,120,117,128,226,208,186,184,172,158,136,125,113,77,83,111,109,109,107,107,107,107,105,105,107
15,100,109,118,122,125,129,137,143,149,154,158,162,165,167,170,173,175,179,181,184,186,188,190,191,193,194,195,196,102,110,119,123,125,130,137,144,149,154,159,162,165,168,171,173,177,180,182,185,188,189,191,193,195,195,196,197,103,111,120,124,127,132,139,145,150,156,160,162,165,169,172,175,179,182,185,187,189,190,193,194,195,196,197,199,104,113,121,125,128,134,140,146,152,156,159,163,167,170,173,177,180,183,186,187,189,191,194,195,196,197,198,199,105,114,121,125,129,134,141,148,152,156,160,163,167,171,174,177,180,183,186,188,191,193,195,196,196,197,199,199,116,121,129,132,134,142,148,151,151,154,157,160,165,170,174,176,179,183,187,189,192,194,196,198,199,199,200,201,141,132,137,139,143,153,161,164,168,166,159,157,159,161,169,169,166,165,173,185,192,195,197,199,200,200,201,201,127,112,117,124,137,150,156,165,180,176,169,169,172,178,176,176,174,158,142,137,171,195,197,199,200,201,202,202,100,99,105,108,116,128,136,151,174,182,182,183,184,185,187,177,172,183,144,116,114,163,197,200,200,201,202,202,109,118,123,123,126,131,136,139,148,159,173,189,193,173,171,175,151,190,145,117,125,121,163,199,199,201,202,202,110,119,125,127,132,139,143,152,144,131,135,143,165,162,148,152,140,190,146,113,140,143,109,167,199,201,201,202,111,120,126,127,132,138,146,168,136,117,111,123,152,156,129,122,128,159,141,126,143,146,105,105,185,201,201,201,111,120,125,127,132,138,156,180,124,107,117,135,161,155,129,118,124,120,119,130,144,134,94,77,126,197,200,202,112,120,125,127,132,139,156,190,138,114,133,144,157,146,124,118,119,119,121,134,147,140,98,74,77,143,196,203,112,121,126,127,132,139,170,199,191,159,139,125,124,116,101,100,103,113,127,140,144,137,104,78,74,81,132,187,112,120,125,127,132,139,177,202,194,193,169,123,77,64,62,58,64,83,112,131,129,121,100,87,84,78,76,104,110,118,123,126,131,137,161,197,193,180,181,178,108,42,41,37,42,52,81,121,129,124,115,110,98,87,80,77,99,104,109,113,118,121,132,182,193,175,170,185,115,54,42,37,46,45,76,128,143,142,136,128,112,93,84,82,81,84,86,86,88,88,103,188,189,172,158,152,91,58,46,42,50,51,67,112,135,140,138,130,114,96,84,87,86,87,88,88,90,91,98,166,192,174,144,132,108,66,49,49,53,61,72,89,110,122,127,122,111,95,87,88,88,87,88,90,91,93,93,110,147,160,147,134,121,82,57,55,53,61,75,82,93,112,118,113,102,95,91,89,88,89,90,91,91,93,94,93,98,104,104,103,96,86,68,61,54,59,75,84,80,98,110,107,100,95,93,92,88,89,90,91,92,91,93,93,94,96,96,95,95,99,94,84,81,77,87,97,92,94,103,101,95,89,91,93,88,88,88,90,92,92,94,94,95,97,98,98,99,106,112,123,120,111,124,133,135,128,121,113,95,87,98,101,87,88,88,89,91,93,93,94,95,96,97,98,98,99,100,119,116,135,158,163,159,150,135,122,105,103,117,118,87,87,88,89,91,93,93,93,95,97,97,98,98,99,98,99,100,115,136,147,150,134,119,109,111,118,123,137,87,88,89,89,91,91,93,93,94,95,96,96,97,96,97,98,99,101,100,111,119,110,119,125,119,114,126,149,86,88,89,90,90,90,92,93,93,93,94,95,95,96,97,98,99,99,99,101,101,114,132,134,115,118,134,152
11,157,164,169,174,177,180,183,187,189,192,193,195,197,200,203,203,205,207,206,208,210,211,211,212,212,211,211,209,159,165,171,175,177,183,186,188,191,194,196,198,202,204,204,206,206,209,211,212,213,213,214,213,214,214,213,212,161,166,172,176,178,183,186,189,193,194,197,199,203,204,204,207,209,210,212,213,214,214,216,215,215,215,214,214,162,168,173,178,181,183,185,190,194,195,198,200,203,206,206,204,212,212,213,214,215,215,215,216,216,216,216,217,163,170,175,178,181,185,188,192,195,199,201,202,205,206,212,190,164,218,214,216,217,217,218,218,217,218,218,218,165,171,175,180,183,187,190,194,196,200,202,205,207,206,216,199,120,209,219,218,217,220,220,220,219,219,220,218,165,171,176,181,185,188,191,196,199,201,204,205,208,206,228,189,119,210,220,220,220,220,220,220,220,219,219,218,165,172,179,183,185,188,193,197,201,203,206,206,208,208,238,160,132,224,218,220,222,221,221,221,221,221,221,222,166,174,179,184,186,188,193,196,201,204,206,209,208,219,240,145,154,229,220,222,224,223,223,223,223,222,222,221,168,174,179,185,187,190,194,197,201,205,207,208,206,234,206,125,180,228,221,223,224,224,225,224,225,223,223,223,169,175,179,184,188,191,195,198,203,205,203,204,212,241,154,118,208,224,222,223,223,224,225,225,225,223,224,223,169,176,180,185,189,190,196,199,199,199,221,219,160,177,134,139,228,221,223,224,224,225,225,225,225,225,223,223,169,176,181,183,187,195,186,200,225,176,180,204,143,114,115,181,230,221,224,224,224,225,225,225,225,225,224,223,169,176,180,209,236,225,175,131,215,170,120,173,139,102,107,214,224,222,225,225,225,226,226,226,226,226,226,226,170,170,204,218,202,226,175,118,194,143,135,191,128,86,130,231,221,224,225,226,226,228,228,228,228,226,227,227,168,178,208,189,167,211,168,122,187,121,154,180,116,79,159,235,222,225,226,225,226,228,229,229,229,229,227,226,164,195,218,167,134,189,157,116,165,115,168,154,99,78,178,233,221,224,225,226,227,227,228,229,229,229,228,226,164,220,214,172,140,167,117,122,139,106,159,130,90,73,188,232,222,227,228,230,228,232,233,228,229,228,228,228,180,240,203,174,143,142,106,138,109,115,180,102,76,81,159,230,223,219,210,200,193,189,212,235,228,229,228,228,204,242,194,172,145,126,118,159,75,87,146,85,111,135,137,182,202,210,208,197,185,161,145,186,234,229,228,228,208,230,200,180,157,132,129,145,128,149,161,176,183,179,187,197,205,199,180,159,150,159,149,116,214,233,229,229,199,226,206,190,165,145,158,190,209,203,198,199,194,176,182,183,149,145,164,182,208,224,209,185,222,233,229,229,204,235,207,194,168,151,173,209,200,189,197,190,180,146,135,133,170,213,233,237,236,234,235,237,232,231,230,230,225,236,196,183,158,152,173,197,188,186,190,170,135,108,150,208,234,232,229,230,230,231,231,231,232,232,232,231,237,196,175,165,158,161,169,175,182,178,157,112,113,181,228,230,227,228,230,230,232,233,233,232,231,232,232,233,235,189,172,175,171,166,166,156,162,138,98,142,212,230,223,225,229,229,229,230,232,233,232,231,232,233,232,230,227,207,162,189,189,169,158,136,126,105,170,222,219,217,220,223,225,226,225,228,230,230,230,231,228,229,231,237,226,210,155,199,193,161,138,120,95,162,223,211,214,218,220,221,223,225,226,227,228,228,230,229,243,253,255,255
15,172,149,159,119,106,173,48,35,83,79,81,84,88,92,106,121,133,144,149,154,160,167,172,175,179,182,185,188,170,153,165,111,122,171,36,45,84,80,82,86,89,93,108,123,137,147,151,156,164,170,175,178,182,185,188,191,169,155,168,103,138,163,25,56,85,80,85,88,90,94,110,125,140,150,153,158,166,173,178,182,185,189,192,194,167,158,167,95,154,151,16,64,83,79,81,83,86,93,114,130,142,152,155,159,169,177,181,185,189,193,196,198,163,160,165,91,170,134,20,79,91,92,103,113,116,99,111,126,143,156,160,165,173,179,190,195,192,195,200,202,162,172,159,122,150,135,118,122,119,127,131,125,114,109,108,109,116,126,136,143,140,131,139,172,203,205,202,206,169,178,141,128,132,125,122,107,108,109,104,102,101,116,118,116,115,113,112,127,131,120,107,91,122,186,217,213,171,156,118,115,110,110,104,99,103,104,105,103,107,121,122,118,111,106,110,125,128,126,120,102,83,84,143,207,172,174,133,106,122,92,90,93,99,103,102,102,113,122,119,113,108,107,121,125,118,123,116,107,102,93,77,96,176,185,126,128,196,51,43,90,82,85,87,90,96,110,125,141,124,118,119,120,123,123,117,109,107,113,98,81,177,188,115,144,190,35,47,92,82,83,87,89,89,104,132,184,159,134,127,119,111,119,111,113,109,127,110,94,178,188,110,159,179,25,57,91,82,84,87,89,92,102,165,170,142,110,102,111,90,90,108,116,119,139,119,103,180,186,103,173,165,18,66,90,81,84,87,90,88,124,186,145,130,99,56,68,55,46,134,139,140,135,112,109,182,183,101,186,151,13,74,89,82,85,86,89,91,175,171,131,113,93,53,39,29,45,157,160,152,125,102,108,185,177,101,198,137,11,81,88,83,84,87,82,119,207,168,125,106,71,39,41,23,72,166,169,164,128,99,101,192,172,105,205,119,12,86,87,83,84,87,83,111,191,177,139,108,61,30,39,47,87,156,178,172,133,100,97,199,165,112,218,105,16,90,87,83,84,87,89,88,164,198,167,123,77,27,59,93,83,140,178,156,126,103,87,204,157,122,225,90,20,95,86,82,82,86,89,92,126,208,191,143,85,39,32,68,133,160,155,124,113,100,75,209,144,134,224,73,26,94,84,80,80,83,84,96,111,189,207,168,143,131,128,152,154,136,114,95,97,94,78,212,136,150,221,57,35,93,81,80,79,82,83,94,114,151,211,192,174,165,164,169,130,96,90,88,86,90,92,211,125,165,212,44,44,94,80,79,78,80,83,96,114,173,190,146,135,139,162,166,117,82,82,73,81,89,82,209,121,182,203,31,51,91,78,77,77,81,84,92,128,206,153,134,138,134,156,161,120,83,78,143,123,61,61,205,114,195,187,23,60,88,73,71,71,73,76,83,135,191,142,127,123,118,140,146,123,77,108,251,141,64,62,199,116,202,183,131,125,134,125,120,116,113,115,118,135,162,143,138,152,117,93,130,129,93,123,241,142,73,66,191,119,206,187,143,103,122,120,120,119,124,128,126,120,116,126,124,176,171,98,97,135,115,127,151,114,79,71,185,122,211,183,137,107,122,120,121,121,122,122,125,125,126,129,122,131,192,148,104,131,131,130,131,107,68,67,176,131,216,179,135,114,122,123,125,124,124,127,128,128,131,130,129,127,141,148,126,133,133,131,136,108,64,40,166,139,214,177,135,116,124,121,123,124,124,127,127,128,131,130,130,132,130,129,131,131,132,131,133,107,75,54
22,101,104,110,119,126,133,138,141,144,149,152,155,158,159,162,164,164,166,166,165,166,166,164,164,164,163,163,162,102,105,111,121,129,135,140,143,146,151,154,157,160,162,164,166,166,168,169,169,168,168,167,166,166,166,166,164,103,107,111,122,130,137,142,145,149,154,158,161,163,163,166,168,169,170,171,171,170,171,170,170,169,168,168,168,104,107,113,123,131,140,145,146,149,155,160,160,166,166,168,170,171,172,172,174,177,174,173,173,171,174,171,170,104,108,115,124,133,143,147,148,152,157,160,182,145,161,173,172,173,175,178,168,158,179,176,174,175,158,171,172,104,107,115,126,135,143,147,150,154,156,169,206,125,146,177,172,176,176,193,157,112,181,176,185,175,111,150,180,105,107,115,127,136,144,148,151,156,158,172,212,134,141,182,174,177,182,195,137,112,187,179,194,167,105,164,180,105,108,116,128,138,146,149,152,159,161,170,216,152,137,183,178,178,192,194,118,140,190,196,188,129,123,186,178,106,109,117,129,139,148,150,154,161,163,172,221,170,130,182,181,181,188,177,107,162,194,204,178,116,164,187,180,106,109,119,131,140,148,152,155,162,166,171,216,173,124,176,183,186,196,160,99,183,204,182,145,127,188,183,183,107,109,119,131,141,149,154,156,163,169,170,211,192,135,165,186,195,210,147,102,218,215,175,111,159,192,185,185,106,109,119,132,142,151,155,158,164,171,169,207,204,150,156,192,193,200,105,136,234,207,156,115,190,187,189,187,107,110,121,133,143,152,156,158,165,172,172,191,199,140,119,178,183,188,162,204,210,186,117,139,200,189,190,188,109,111,121,133,143,154,157,160,166,172,174,175,198,137,142,185,191,197,214,209,194,147,99,182,196,191,190,189,108,111,122,135,145,154,158,161,165,177,191,148,186,161,164,209,187,203,203,204,174,110,137,205,193,194,191,191,107,111,123,136,145,155,158,162,163,196,199,170,155,160,145,169,187,203,198,182,150,105,172,203,195,195,193,193,108,111,123,135,146,156,160,164,167,192,191,194,184,181,142,93,144,181,178,148,137,103,186,202,197,197,195,194,108,112,125,136,147,156,160,165,167,186,198,174,182,170,137,119,97,107,131,129,118,103,199,202,200,198,197,196,108,112,125,137,149,157,160,165,167,192,191,171,155,146,158,147,124,99,95,91,112,100,197,203,200,198,198,197,108,111,125,138,149,157,162,166,169,188,225,197,151,143,155,164,145,126,121,96,83,93,191,205,201,200,199,199,108,112,125,138,149,157,161,165,171,182,234,189,172,169,193,202,161,140,131,91,74,84,194,205,202,201,200,199,108,112,125,138,150,158,162,165,172,179,231,199,179,201,224,215,176,148,128,89,71,96,206,203,203,202,200,200,108,111,125,138,150,160,162,165,174,177,224,209,181,199,224,194,175,138,121,95,66,117,214,202,204,202,201,201,106,112,125,139,150,158,162,167,175,175,213,220,196,191,224,181,176,159,120,96,65,125,217,203,206,203,202,201,104,111,126,139,151,159,161,167,175,176,199,222,204,178,217,189,171,163,122,89,64,142,216,204,206,205,202,201,103,109,125,139,150,158,160,167,174,181,195,218,206,166,196,184,158,145,107,82,71,175,213,204,205,203,202,201,102,109,125,138,149,158,161,167,176,171,145,198,198,152,154,154,130,114,90,80,93,205,208,205,206,204,203,203,101,107,124,138,150,158,161,166,182,115,33,164,184,135,145,150,135,110,97,75,119,218,206,206,206,204,203,204
18,168,169,173,175,178,182,184,185,187,189,191,194,193,193,194,195,194,194,195,197,198,199,200,200,200,201,199,200,170,173,176,178,181,185,187,188,192,193,195,197,197,197,197,198,197,197,199,200,202,202,204,203,203,204,203,204,173,176,179,181,185,187,190,194,196,197,198,200,200,200,201,202,201,202,203,204,204,204,205,205,206,207,206,204,176,179,182,185,187,190,194,195,198,201,201,203,204,204,204,204,203,204,205,204,205,207,208,206,207,209,209,209,179,180,184,187,190,193,196,199,201,203,204,205,206,207,209,207,206,208,211,214,212,209,215,213,214,212,211,213,180,182,185,190,193,194,197,202,205,205,206,207,209,210,211,211,211,213,192,186,208,215,184,155,180,216,215,215,184,185,189,193,195,198,201,204,205,207,208,210,212,211,213,211,212,216,172,157,193,221,172,103,115,167,228,213,186,188,192,195,197,200,204,207,208,210,211,213,215,215,212,216,214,200,195,195,218,201,200,139,93,100,217,221,188,192,195,198,201,204,207,211,212,213,215,216,216,217,220,187,191,178,196,199,192,163,225,166,103,61,182,236,191,194,197,201,203,207,210,213,214,215,217,217,211,240,234,163,131,149,172,165,115,172,250,180,127,63,162,240,193,195,199,202,205,209,211,215,216,217,215,230,162,171,220,169,133,119,168,113,71,227,247,193,149,71,158,241,194,198,202,203,207,212,214,217,219,213,238,252,155,103,213,195,170,124,223,143,78,242,254,219,172,81,166,245,195,198,203,206,209,214,217,220,218,232,236,243,184,123,180,221,178,117,183,184,118,208,255,234,173,98,115,245,197,201,205,208,212,216,219,219,228,239,184,240,216,155,137,218,179,137,80,154,230,241,231,201,162,123,73,209,198,202,207,210,213,217,221,218,242,248,184,225,228,173,116,184,193,140,168,228,236,239,199,181,160,139,74,182,201,204,209,212,216,220,222,229,242,215,164,184,201,154,92,139,158,181,255,237,216,211,185,167,160,127,83,213,202,207,212,214,218,221,222,228,253,220,164,160,143,107,71,62,153,255,248,230,206,190,178,145,138,90,122,248,205,210,213,216,220,223,225,226,251,226,193,163,94,86,47,73,248,249,234,219,204,190,152,125,106,70,195,248,209,212,214,218,221,226,226,229,253,235,214,172,120,161,107,198,255,245,236,213,198,176,130,107,84,102,245,240,208,212,217,219,222,227,226,235,254,250,205,163,202,187,175,255,249,247,225,201,186,151,113,98,73,152,255,240,211,214,219,221,223,228,227,244,251,254,192,187,216,167,225,255,255,236,213,195,171,127,96,92,78,219,250,242,212,217,219,222,228,230,227,242,255,249,197,200,213,156,255,255,255,225,197,174,144,107,92,71,144,254,242,245,214,217,220,224,228,231,233,230,245,251,207,216,198,169,255,255,242,211,187,157,118,94,86,83,232,251,245,247,216,218,222,226,229,232,237,231,232,240,218,226,195,211,246,247,219,189,170,141,107,98,66,153,255,244,247,247,216,220,225,228,229,232,238,235,224,235,221,234,213,208,218,223,203,182,155,128,106,86,89,238,251,249,248,248,217,223,227,229,231,234,237,237,222,242,234,223,206,182,203,219,206,170,140,118,101,68,178,255,248,251,251,251,218,223,225,229,233,235,238,240,220,228,204,192,184,171,202,209,199,163,123,107,78,103,247,249,251,252,253,253,219,223,226,230,234,236,239,242,230,215,183,192,188,210,214,210,190,156,121,104,67,165,255,250,252,253,254,254
4,106,109,111,114,116,119,123,126,127,128,132,132,133,136,138,138,138,139,139,140,141,142,141,141,141,141,140,140,107,110,112,115,117,121,125,127,128,130,132,133,136,136,138,141,143,139,141,142,142,143,143,142,143,143,142,141,108,112,113,115,119,123,125,127,130,132,134,139,135,144,133,104,125,147,139,142,146,144,144,145,145,144,143,143,110,113,114,117,120,124,127,129,130,135,127,122,139,166,145,105,84,132,124,93,130,150,144,146,146,145,144,145,111,114,115,119,122,125,128,128,140,162,134,116,117,164,149,130,101,88,127,87,75,143,149,148,148,148,147,147,112,114,115,118,123,126,131,124,158,187,159,143,101,134,162,131,113,70,116,106,72,111,156,147,148,149,148,148,113,115,116,119,124,127,128,127,150,171,182,159,121,101,167,139,113,65,111,112,75,104,158,149,150,150,150,149,113,116,118,121,126,126,139,147,136,134,147,167,123,75,129,145,99,62,104,111,69,102,158,149,150,150,150,150,114,116,119,122,127,122,163,178,162,150,119,103,100,64,82,111,77,61,89,95,63,112,158,149,152,151,150,150,114,116,119,123,128,123,168,165,162,156,117,66,68,65,55,85,63,40,63,61,55,129,157,151,154,152,152,152,115,116,119,123,128,127,160,113,109,125,92,61,54,76,43,73,79,93,115,70,47,144,155,151,153,153,153,153,117,118,119,124,128,130,155,99,57,93,98,65,53,70,71,90,129,158,141,93,61,116,160,155,152,155,154,154,117,119,120,124,129,129,154,116,91,77,105,78,77,111,119,129,148,155,120,88,80,69,101,150,159,154,155,155,118,119,121,125,130,128,154,131,110,81,75,61,79,134,112,124,131,120,94,84,87,84,72,78,129,160,155,156,118,121,123,126,131,129,151,142,101,74,62,53,47,89,90,92,89,84,74,81,85,86,85,74,67,149,159,156,119,121,124,128,132,129,150,151,111,93,78,67,52,44,64,79,83,76,64,70,83,92,85,82,71,134,162,155,120,121,123,128,132,130,147,161,134,99,82,71,62,56,75,112,117,113,108,91,87,103,87,79,83,147,161,156,119,122,124,128,132,132,145,160,134,108,101,83,71,64,94,139,151,152,145,124,105,98,87,78,109,161,158,158,119,122,124,129,133,133,143,163,136,128,116,88,76,70,101,155,160,155,141,119,102,86,80,83,143,162,158,160,121,121,125,129,132,134,141,159,139,136,116,84,78,77,101,156,151,143,132,114,95,84,78,100,163,160,161,160,122,122,126,129,132,137,139,155,141,129,109,81,83,82,103,145,136,130,125,108,88,85,81,128,167,160,161,161,122,122,125,130,134,138,139,153,142,126,104,83,91,89,114,137,128,126,115,97,84,85,91,152,163,160,162,162,121,122,126,131,134,137,140,148,147,125,100,95,109,97,116,128,123,117,98,86,83,83,119,165,161,162,163,162,122,122,126,131,135,137,141,145,145,124,109,112,112,99,98,111,107,99,85,81,82,93,152,163,163,163,163,162,122,123,127,131,135,138,142,144,148,132,116,113,104,92,82,87,86,82,80,87,82,121,168,164,165,164,163,163,122,122,127,131,135,138,142,143,148,146,115,99,92,83,80,82,82,82,83,88,73,129,170,163,165,164,163,163,123,124,129,132,136,139,143,145,146,149,117,87,78,77,79,85,84,83,83,84,65,112,172,162,164,165,165,165,123,125,128,132,135,139,143,146,146,145,128,94,86,88,89,90,87,81,82,81,68,98,169,163,163,165,166,166
8,138,139,140,141,141,141,144,142,142,141,140,140,140,140,139,137,136,136,136,135,133,132,131,130,127,127,126,124,140,141,142,142,143,138,128,144,144,143,142,141,141,141,139,139,138,136,136,136,135,134,132,131,129,127,126,125,142,142,144,143,147,135,78,129,150,145,145,143,142,142,140,140,139,137,137,136,136,135,133,132,130,128,128,128,143,144,145,144,148,120,70,114,154,145,146,144,144,144,142,141,141,140,139,138,137,136,135,134,131,129,129,128,143,145,146,146,149,120,63,118,156,147,147,145,145,145,144,143,143,142,141,140,139,137,136,135,133,130,130,129,145,146,147,148,149,116,57,128,154,148,148,150,149,146,145,144,143,142,144,145,138,139,137,136,134,132,132,130,146,147,149,148,151,117,57,127,156,149,150,140,147,150,148,150,145,111,89,122,120,113,142,136,137,135,134,132,148,149,150,149,153,130,66,116,159,151,134,100,92,143,121,100,115,112,81,61,104,86,143,137,137,135,135,133,149,149,150,151,153,127,61,104,163,144,129,116,84,96,111,77,70,119,100,58,72,79,129,143,137,137,136,134,149,150,151,152,153,129,81,87,161,139,136,129,97,77,112,89,76,119,92,59,52,73,82,145,139,137,137,135,150,152,153,154,153,147,118,81,148,142,132,137,102,67,104,102,71,103,82,54,41,81,63,100,147,138,138,136,150,152,152,153,154,152,123,85,122,125,111,135,105,68,87,107,63,89,111,71,41,84,65,77,149,138,139,137,151,152,153,154,155,156,129,121,113,114,92,122,106,65,66,106,67,83,129,73,52,96,59,100,151,139,140,138,153,154,155,155,156,157,152,136,109,100,93,108,107,70,57,87,63,32,74,47,69,97,55,125,147,141,141,139,154,154,155,156,156,157,156,123,96,76,73,89,119,105,56,41,42,49,40,76,108,86,61,143,144,142,141,140,155,154,155,157,158,159,153,122,102,79,66,68,124,114,73,42,81,119,113,105,113,69,75,154,143,142,141,140,154,155,157,158,159,158,158,140,114,83,69,68,103,98,67,75,122,121,121,94,84,52,95,156,143,143,141,140,153,155,159,158,159,159,157,143,116,90,73,68,94,110,110,128,137,117,110,86,63,47,134,151,145,144,142,141,154,156,158,159,160,160,157,147,122,100,81,69,97,140,147,144,133,111,101,80,39,90,157,146,146,144,143,142,155,156,158,160,161,161,154,145,127,102,82,78,110,147,140,137,122,102,91,65,48,146,152,148,147,146,144,143,156,157,158,159,160,161,150,140,133,106,87,87,119,140,138,133,112,96,83,44,101,161,149,148,148,147,144,143,157,158,158,160,161,162,152,144,137,110,95,90,123,133,137,125,102,89,64,53,152,154,150,149,149,148,146,144,158,158,160,162,162,164,159,149,141,117,99,87,120,127,124,110,90,78,39,108,163,152,152,150,149,148,146,144,157,158,161,161,161,164,161,154,140,118,100,91,111,119,109,96,78,50,62,159,155,155,152,151,150,148,146,144,158,159,161,161,162,163,163,152,134,115,102,96,102,113,101,86,66,42,140,160,154,154,152,152,149,148,147,146,159,160,161,161,162,163,162,153,135,122,115,109,100,108,96,80,43,108,168,155,155,154,153,151,149,148,148,146,158,159,162,163,163,162,160,157,140,135,120,114,105,103,85,59,64,162,158,158,156,155,153,151,149,149,148,145,158,160,162,162,164,157,153,158,143,138,118,114,105,88,75,46,110,169,158,158,156,154,154,153,151,150,149,147
7,152,155,158,160,162,162,164,165,165,166,165,165,166,165,165,164,164,161,162,162,158,158,159,156,153,154,153,151,155,157,159,163,165,166,167,167,166,167,166,167,165,165,165,165,164,162,163,162,161,160,158,157,156,155,154,152,155,157,161,164,165,167,169,169,170,170,168,168,168,167,166,167,167,165,164,162,163,162,161,158,158,157,156,154,158,159,162,165,167,168,170,170,171,171,171,170,170,170,169,168,166,166,166,165,165,163,162,161,160,158,157,156,159,162,164,166,169,169,169,171,171,171,171,171,171,170,170,171,169,169,167,165,165,165,164,162,161,159,159,158,160,165,166,168,169,170,171,171,171,171,172,172,172,171,170,170,172,171,170,170,170,166,162,164,163,163,161,157,162,164,167,171,171,171,172,174,173,173,173,173,174,175,175,174,172,168,163,158,136,148,165,149,166,164,162,160,165,165,167,171,172,174,175,178,179,180,177,170,166,157,149,146,147,137,129,130,106,149,173,118,159,162,165,162,165,166,170,170,172,176,173,164,153,156,154,144,130,113,104,121,141,136,120,111,100,106,123,100,157,162,146,165,166,169,170,172,176,167,154,131,123,120,118,126,121,115,99,94,101,84,90,97,94,93,107,119,176,174,96,162,168,171,171,172,170,159,141,129,128,119,107,108,118,114,89,83,78,107,130,148,125,122,119,120,123,116,105,168,167,170,168,160,149,144,143,140,125,85,79,104,129,124,109,104,92,111,128,132,112,97,80,73,83,119,162,170,166,161,155,149,146,145,137,140,123,68,72,87,96,93,90,95,82,77,90,73,69,74,106,142,165,176,170,169,159,154,151,151,151,137,127,127,125,101,62,44,34,32,35,49,50,61,84,113,143,167,181,179,174,170,171,169,156,153,150,145,137,131,129,128,133,123,77,39,14,46,105,111,133,153,180,188,183,178,174,173,172,172,172,170,154,147,140,134,129,125,123,122,120,100,75,46,33,48,166,200,189,187,182,177,178,178,177,175,175,173,172,171,149,139,132,124,118,113,108,104,101,91,62,35,39,36,31,163,190,181,182,179,180,178,179,177,176,175,174,173,137,139,123,120,108,107,103,98,98,93,65,30,33,57,26,70,198,182,184,182,182,180,179,178,176,176,176,175,36,105,127,119,112,106,103,105,107,105,68,29,24,47,42,68,195,186,186,184,184,183,181,179,177,176,177,174,1,10,95,128,118,111,101,94,92,80,57,37,31,21,13,102,201,185,187,185,184,184,183,181,178,178,177,176,5,0,7,102,124,113,103,89,75,63,50,46,42,24,18,43,185,191,188,186,185,184,182,181,180,179,178,177,0,0,0,21,105,97,87,77,69,54,47,45,45,32,18,49,187,190,188,187,186,185,184,182,181,180,178,177,0,0,0,0,38,74,61,46,44,17,20,41,34,48,119,159,195,187,187,188,186,185,185,184,183,181,179,178,0,0,0,0,0,0,42,94,14,5,17,28,44,160,210,195,192,191,189,187,189,186,185,184,183,182,179,179,0,0,0,0,0,0,160,167,4,14,27,79,169,201,191,193,192,192,191,187,189,187,185,185,185,183,182,179,0,0,0,0,7,169,204,192,128,121,160,198,200,192,194,193,192,192,192,189,186,188,186,186,185,184,183,179,12,0,0,16,180,197,189,193,202,203,200,192,191,193,193,193,193,192,191,188,187,186,186,185,184,183,181,178,0,0,0,96,206,185,193,193,191,192,192,193,192,193,193,193,193,192,191,188,188,187,186,186,183,183,181,178
1,85,27,61,73,79,86,102,116,126,131,135,138,139,142,146,149,154,152,154,157,158,159,159,161,162,161,162,163,77,27,66,74,79,88,104,118,127,132,136,138,141,143,152,148,122,156,159,158,158,160,160,162,162,163,163,163,66,30,70,74,81,90,109,121,128,133,138,140,142,143,165,150,84,139,141,159,160,162,162,163,163,163,163,163,56,35,72,74,83,91,111,123,129,134,140,140,149,141,157,146,95,139,101,152,164,163,164,165,165,164,164,164,46,40,73,76,84,94,113,124,131,137,141,138,166,131,136,140,101,151,101,143,169,163,165,166,166,166,165,166,36,47,74,77,85,96,115,125,131,137,142,142,171,120,144,142,105,152,101,133,171,164,166,167,167,167,167,167,28,53,74,78,86,99,117,126,131,137,143,146,174,108,140,139,102,156,109,130,172,165,168,168,169,169,169,169,27,60,76,80,88,102,119,127,134,137,159,131,161,103,144,140,102,148,106,127,175,167,170,170,170,171,170,171,28,64,76,80,89,104,120,128,132,149,153,113,152,106,165,140,100,157,113,122,177,169,172,172,172,172,172,171,32,68,77,81,89,106,121,129,132,166,136,109,145,111,172,129,106,178,120,123,177,170,173,173,173,173,174,173,37,71,76,83,91,109,123,130,137,176,118,124,151,111,152,107,106,171,110,127,178,172,175,175,175,175,176,175,41,73,77,84,93,110,124,129,145,177,103,123,133,97,142,95,120,165,102,130,179,173,176,175,176,177,176,177,46,75,77,85,93,110,125,126,157,175,99,111,139,134,132,151,156,156,101,133,180,174,177,177,177,178,178,178,52,76,79,86,95,113,126,127,170,160,109,115,161,149,130,153,145,144,97,131,183,175,178,179,178,178,178,178,57,77,80,86,97,115,125,130,180,168,152,147,171,164,153,139,129,123,92,130,184,175,178,179,180,180,180,180,61,77,80,87,97,117,123,143,191,154,146,149,141,141,171,168,149,127,89,128,184,176,179,181,181,182,181,181,66,77,82,88,98,119,119,163,184,135,118,115,92,113,168,166,160,144,97,122,186,176,179,181,182,182,182,182,70,77,83,89,101,122,121,174,176,135,132,138,129,168,177,167,147,131,95,97,184,180,182,182,182,183,184,183,73,78,83,89,103,123,122,173,181,149,136,141,171,199,182,161,135,106,91,77,168,185,182,184,184,184,184,184,74,77,83,89,104,122,123,168,191,162,146,140,172,202,183,152,129,96,82,75,164,187,183,185,185,185,185,185,77,78,85,90,105,121,124,159,193,162,149,142,164,195,175,147,120,97,77,91,183,184,184,186,185,186,186,187,76,79,86,92,107,123,128,150,187,160,154,145,151,182,168,143,113,96,72,133,192,184,186,186,188,188,188,188,77,79,86,92,108,122,131,142,177,165,163,154,166,177,153,128,104,89,81,170,187,187,187,187,189,189,189,188,76,79,86,93,109,122,130,138,164,166,160,148,157,163,137,114,101,81,99,187,186,188,188,189,189,190,190,190,77,79,85,91,109,122,132,139,152,163,155,147,136,138,127,110,102,76,116,191,185,188,189,191,191,190,190,190,76,79,85,90,109,120,130,138,143,162,156,144,137,136,136,120,101,73,139,190,183,186,188,189,190,190,190,189,76,78,83,90,109,119,129,135,161,167,159,157,147,137,130,119,95,71,151,190,183,186,188,189,190,190,190,190,76,77,82,90,109,119,129,138,182,177,139,158,148,134,113,104,93,66,137,191,182,187,189,190,190,190,190,190
7,111,132,144,150,155,159,163,163,165,167,170,171,172,173,173,174,175,174,174,173,172,172,170,169,169,167,166,164,113,133,145,151,156,160,163,165,166,169,172,172,173,173,174,175,176,176,175,174,174,173,172,170,170,168,167,166,115,135,145,153,157,161,164,166,168,170,172,173,175,175,176,177,177,177,177,176,175,174,173,172,171,170,169,167,116,136,146,154,159,162,165,167,170,172,172,173,175,177,178,178,178,178,177,178,177,175,175,175,174,172,171,169,116,137,146,153,159,163,166,168,170,173,173,175,177,178,178,178,178,178,179,178,178,178,178,177,174,173,172,170,117,138,146,155,160,164,167,167,170,172,174,175,178,180,182,182,183,184,183,181,179,175,172,171,175,175,174,171,117,137,147,154,160,164,167,171,173,176,178,177,177,173,167,160,149,147,144,147,134,125,150,152,146,176,173,173,119,138,147,155,160,164,167,159,152,147,146,144,139,127,122,126,103,112,116,110,111,112,148,145,124,179,177,174,121,140,148,156,161,167,154,126,119,125,126,131,130,121,113,105,102,103,105,102,106,102,102,97,120,158,170,177,121,140,147,156,165,162,144,114,106,112,110,111,113,114,116,119,119,104,109,118,112,107,103,97,102,123,124,169,123,140,151,160,160,149,137,118,104,102,111,120,128,131,130,125,116,94,100,118,105,96,95,87,94,115,101,159,121,151,159,155,148,144,142,132,128,129,134,138,129,126,123,117,99,87,87,89,84,81,82,82,87,99,130,178,152,161,154,153,153,150,135,113,104,109,118,118,111,107,96,86,82,98,113,131,144,156,164,168,174,177,182,180,168,159,158,157,152,135,125,91,85,99,96,84,76,93,138,157,171,181,190,194,193,192,190,188,186,183,180,179,163,160,159,149,131,127,114,85,82,77,66,56,61,71,95,108,182,191,186,186,185,185,185,184,184,182,181,180,162,162,151,136,127,121,115,108,91,71,70,73,72,67,60,42,125,198,185,189,188,187,186,185,186,184,181,181,163,154,135,126,122,119,129,133,105,75,74,77,76,73,74,58,129,200,187,189,187,188,187,187,186,184,182,180,150,134,119,118,117,115,119,116,86,69,67,63,67,68,69,51,95,196,189,190,189,189,187,186,185,185,184,180,128,121,117,116,111,102,104,92,74,62,52,58,71,73,71,57,120,193,188,190,190,189,187,186,185,185,183,181,123,121,118,113,104,90,84,85,83,69,68,80,82,75,58,133,199,189,190,190,190,189,187,186,186,185,183,181,118,108,101,95,89,86,92,102,96,79,71,66,67,71,121,189,188,189,189,188,188,187,186,186,184,183,182,180,109,101,99,97,94,95,98,102,86,65,80,117,145,174,191,186,186,187,187,186,186,186,186,185,184,182,180,179,106,103,103,99,92,88,84,75,71,114,171,190,190,187,185,187,187,187,187,186,187,186,186,185,185,184,181,179,86,90,87,83,79,76,87,120,156,184,183,181,183,184,185,186,187,187,187,186,186,186,185,185,183,183,180,179,59,32,83,124,126,143,163,175,176,175,178,181,183,184,185,185,185,186,186,186,186,185,186,185,183,181,180,178,49,8,114,172,167,173,173,172,175,179,182,184,186,186,188,188,188,187,187,187,184,183,184,183,180,179,179,178,27,14,122,147,136,137,136,136,136,136,135,132,131,132,132,131,129,126,126,125,121,119,118,115,113,109,90,82,8,28,94,99,98,101,100,100,102,101,99,100,100,101,101,99,98,97,96,97,97,96,95,92,92,65,30,28
18,174,175,175,177,178,178,177,178,178,177,175,175,174,173,173,172,172,171,170,169,168,167,166,164,163,162,160,159,175,176,177,178,178,179,179,179,179,178,177,176,176,175,175,175,173,173,172,171,170,168,166,165,164,162,161,160,177,177,178,179,179,180,181,181,180,179,178,175,173,176,176,167,161,167,173,172,169,168,167,166,165,164,163,162,178,179,179,180,180,181,182,182,181,181,175,152,138,154,163,142,121,130,160,156,142,144,161,167,166,166,165,164,179,180,180,181,182,183,183,180,177,180,173,140,113,111,138,136,106,93,117,127,111,101,129,165,168,167,165,164,180,181,182,182,183,184,183,166,148,154,164,145,119,101,123,146,113,93,88,109,106,85,92,151,169,168,166,165,181,183,184,184,184,185,185,164,139,128,139,150,128,104,109,141,119,104,97,101,105,90,79,137,169,169,168,166,182,184,185,186,186,187,185,172,153,133,120,137,134,107,95,120,126,117,110,107,113,99,80,135,170,170,169,168,183,184,185,187,187,189,179,169,159,139,115,110,128,111,91,102,127,124,116,113,113,98,80,136,172,172,170,169,184,185,186,188,188,190,173,146,146,135,104,85,114,110,87,87,116,115,113,114,110,96,77,128,172,173,171,169,185,186,187,188,188,188,163,122,126,125,87,69,95,94,72,72,95,88,102,126,123,102,79,118,171,174,172,170,186,187,188,189,189,189,166,133,123,119,83,66,81,79,62,60,76,69,90,141,137,111,83,107,168,175,173,172,187,188,188,189,190,192,176,149,123,114,89,69,79,80,62,57,70,69,85,135,143,119,89,94,160,176,175,173,188,188,189,189,191,192,175,146,118,100,82,65,78,82,61,57,76,104,129,146,153,131,96,83,148,177,176,174,188,189,189,190,192,190,166,136,113,92,74,64,69,70,65,76,107,146,159,154,150,131,96,77,139,178,177,175,189,190,191,192,193,191,173,148,124,102,84,77,76,82,99,123,151,167,165,155,137,117,88,76,142,178,177,176,190,191,193,193,193,193,181,158,132,106,87,84,91,106,131,155,173,173,159,145,124,99,76,85,156,179,179,178,191,192,193,194,194,193,184,164,139,113,96,92,97,117,150,172,180,171,151,134,114,88,68,106,171,180,179,178,192,192,193,194,194,192,185,169,146,123,106,100,101,128,165,179,178,164,144,125,107,80,70,135,179,180,179,178,192,193,194,195,195,191,182,168,148,129,114,108,107,137,171,175,169,155,137,118,99,74,84,159,182,181,180,179,193,195,196,197,196,190,177,163,148,132,121,116,113,140,169,168,159,145,129,109,89,69,109,175,183,182,181,179,194,195,196,196,197,191,176,163,151,137,127,124,118,142,163,162,151,133,118,100,79,71,138,182,183,182,181,180,195,196,196,197,198,195,180,164,154,143,134,128,120,140,157,155,144,124,106,88,69,89,165,185,184,183,182,180,195,196,197,197,198,198,187,168,158,148,137,126,117,131,149,146,133,114,94,76,66,125,181,186,185,184,182,181,195,196,197,197,198,199,193,177,164,152,140,128,118,123,138,136,121,102,83,65,85,162,187,187,186,185,183,181,195,196,196,198,199,200,197,186,170,156,143,132,122,120,129,127,111,93,74,65,125,183,188,187,187,185,184,182,196,196,197,197,199,200,198,191,176,156,142,133,127,124,124,121,106,87,67,87,165,189,189,188,187,186,184,182,196,197,197,198,199,200,198,192,177,158,148,143,138,131,122,116,101,81,65,117,183,190,189,188,187,186,184,182
24,132,134,135,136,136,137,138,138,138,138,139,140,139,140,139,139,139,139,139,138,138,137,136,135,87,27,16,9,135,136,137,138,138,139,140,140,140,140,141,141,141,141,141,141,141,141,141,141,140,139,138,139,81,16,22,23,137,138,139,140,141,142,142,142,142,142,143,143,143,143,143,143,143,143,143,143,142,141,140,144,102,24,30,36,137,140,141,141,142,143,143,144,144,145,145,145,145,146,145,146,146,146,146,145,144,143,141,143,136,42,29,31,140,141,141,143,143,144,146,146,146,147,146,147,147,147,147,147,147,147,146,146,146,145,144,141,147,86,24,22,141,142,143,145,146,146,147,148,147,148,147,148,148,148,148,148,149,149,149,148,147,147,147,145,148,125,29,15,142,144,145,146,146,147,148,148,148,149,149,148,149,150,150,150,151,151,150,150,150,147,148,148,145,150,48,8,143,145,146,146,150,150,148,149,150,151,150,151,151,152,152,151,152,153,151,151,152,150,149,149,147,153,104,86,144,146,147,149,128,146,152,151,151,151,151,152,152,152,152,152,152,153,152,152,152,152,151,151,148,154,108,123,145,146,148,152,103,112,158,150,152,152,152,152,152,153,154,153,154,154,153,152,153,153,152,151,150,154,116,142,147,148,149,150,115,76,150,152,153,153,153,153,153,154,153,154,155,155,155,157,154,154,153,153,152,152,142,124,147,148,150,152,135,74,111,162,152,154,154,154,155,157,156,155,158,161,144,138,158,154,154,154,153,153,157,120,148,149,151,152,145,110,74,147,158,154,156,156,154,147,155,159,132,158,146,90,126,162,154,154,152,145,130,120,148,151,152,152,153,138,87,91,158,156,154,158,160,124,129,165,102,100,158,98,95,163,155,153,154,134,94,78,148,151,152,151,154,147,124,95,112,160,154,159,171,148,117,137,123,86,154,112,98,162,155,157,159,111,74,88,147,150,151,150,152,152,139,118,99,126,157,157,169,171,128,102,146,93,136,123,103,164,150,164,142,75,114,159,148,149,151,151,152,153,149,131,120,133,137,145,139,172,144,91,125,109,127,138,90,129,137,158,106,86,158,151,148,150,152,153,153,153,155,151,152,149,128,119,109,140,155,101,83,116,123,148,81,84,142,134,83,136,158,151,147,149,151,151,152,153,154,156,166,141,120,104,85,93,147,111,64,126,116,158,98,106,140,101,97,161,153,153,152,155,157,157,158,158,160,159,164,163,141,106,91,99,120,125,71,124,125,99,116,132,126,76,119,161,153,154,109,114,115,118,122,126,129,131,134,168,169,149,104,92,113,128,93,99,142,96,162,131,109,82,156,164,159,156,66,66,66,69,69,67,70,71,62,150,178,171,152,100,103,138,130,116,144,158,149,110,98,78,101,98,107,127,75,73,74,75,74,74,74,77,65,117,182,161,169,131,103,112,167,178,180,165,128,102,84,73,93,120,140,157,75,72,72,72,73,75,74,75,73,82,162,159,170,154,119,103,129,175,170,145,121,89,80,152,168,163,160,164,72,72,72,71,72,73,74,74,77,70,112,171,174,162,129,110,112,158,157,132,115,74,103,148,142,156,154,153,72,72,74,72,72,73,73,74,75,74,73,156,160,142,114,101,107,132,138,117,90,70,142,141,120,133,145,146,71,71,72,72,73,74,72,73,74,76,66,128,154,119,114,109,110,122,127,106,74,81,136,152,111,102,126,143,71,71,71,71,73,76,72,71,73,75,67,110,160,137,138,127,118,122,125,98,65,88,131,148,121,92,120,134
17,143,147,148,153,158,162,164,167,170,171,173,175,176,177,177,176,177,177,175,170,176,174,175,174,174,172,171,170,144,147,150,155,160,163,167,169,171,173,175,176,177,178,179,179,176,182,184,130,164,179,175,175,175,173,172,171,146,149,150,155,160,165,168,170,173,175,176,178,179,180,181,179,188,181,137,106,151,184,176,176,175,175,174,173,147,150,152,156,161,168,169,171,174,176,178,181,181,182,183,178,196,191,146,86,148,186,178,178,177,176,175,174,148,151,154,158,163,168,170,173,175,178,180,181,183,183,184,181,191,196,170,98,155,186,179,179,178,178,176,175,149,152,154,159,164,169,172,175,177,179,181,182,183,184,184,183,188,207,186,123,164,187,181,181,180,180,178,177,151,153,156,161,166,170,173,175,179,181,182,184,186,186,186,185,191,214,192,139,161,189,182,182,181,181,179,178,152,154,157,162,167,171,174,176,180,181,183,186,186,187,187,185,192,217,194,142,143,192,184,185,182,182,181,180,153,156,158,164,168,172,175,178,181,183,185,187,188,191,189,186,204,220,205,157,125,191,186,186,185,183,182,181,154,157,159,166,170,173,176,180,182,184,187,187,171,174,193,191,214,217,202,162,119,187,188,187,186,185,183,182,156,158,161,166,170,175,179,181,184,186,191,190,161,113,183,204,183,189,195,157,116,183,190,188,187,187,186,184,156,158,162,167,172,175,180,182,183,181,192,183,161,96,126,162,145,183,192,159,110,181,192,189,188,187,186,186,157,159,163,168,172,177,179,185,191,192,194,163,157,144,112,102,150,194,178,162,114,179,195,190,189,188,187,187,158,160,164,170,174,179,179,194,207,196,212,194,189,173,124,93,148,181,170,158,118,170,197,191,189,190,189,188,159,161,164,171,175,180,181,194,206,157,185,204,191,169,152,113,106,142,152,145,112,155,201,191,192,191,190,189,160,162,166,171,176,181,184,188,199,168,114,132,161,176,175,147,103,93,117,125,108,147,203,192,193,193,191,190,160,163,167,173,177,182,186,187,200,184,136,82,111,153,189,167,138,105,93,111,100,154,204,193,194,194,192,191,161,163,167,174,178,183,186,190,211,194,206,117,108,165,200,174,154,131,94,92,87,160,204,194,196,195,193,192,163,164,168,174,179,184,188,187,220,209,169,131,135,225,203,178,159,138,91,78,78,172,203,196,196,195,195,193,163,165,169,176,181,185,190,188,221,205,159,165,196,218,200,165,158,128,88,77,88,197,200,198,197,197,196,194,163,166,170,176,181,186,190,189,221,200,185,181,226,194,191,171,141,124,91,69,138,211,197,199,198,198,197,195,164,166,171,177,182,186,191,192,216,212,186,189,224,196,190,188,147,110,87,77,187,206,199,200,199,198,198,196,165,166,171,178,183,187,192,192,212,219,187,195,216,192,176,172,137,99,81,93,204,202,201,201,200,199,198,197,165,167,171,178,184,188,192,192,207,219,191,182,198,169,156,142,107,92,74,124,214,201,203,201,200,199,199,199,165,168,173,178,184,188,193,195,203,212,179,158,172,159,144,122,98,95,76,178,212,203,204,203,202,200,200,199,164,166,172,178,182,187,193,193,202,207,155,147,163,171,152,124,106,84,112,212,204,205,204,203,203,201,200,199,163,165,171,178,181,194,139,62,172,203,184,184,171,175,162,124,104,79,166,212,204,205,204,203,201,200,199,199,164,165,172,177,187,173,100,57,130,203,188,177,171,169,160,127,95,90,194,207,205,205,204,203,202,200,199,199
14,142,147,152,157,162,165,167,169,174,175,175,178,180,180,181,181,181,180,181,180,179,179,179,177,177,176,175,175,142,148,154,159,164,167,168,171,174,173,176,179,180,181,183,182,182,182,182,181,181,181,180,179,179,178,177,176,144,149,156,161,166,166,169,173,175,176,179,180,182,183,183,186,185,183,183,182,182,182,181,180,180,180,178,177,145,152,158,162,166,168,171,175,177,179,182,182,183,185,185,188,187,185,185,183,183,183,182,181,181,182,180,179,146,153,159,164,166,171,173,177,179,180,182,185,184,185,193,184,187,187,184,188,188,183,184,184,184,182,181,181,147,153,159,164,169,172,173,178,180,181,184,188,180,222,243,220,222,210,178,161,174,191,182,184,185,184,182,181,147,155,162,166,170,172,174,180,182,182,186,183,194,246,241,241,225,205,190,172,157,157,187,189,183,184,184,182,149,158,163,167,171,175,178,180,184,184,189,181,232,251,216,188,162,132,137,157,147,81,98,183,188,185,185,185,150,158,164,169,172,176,179,181,186,189,188,193,255,241,167,91,77,77,80,102,100,90,77,93,190,188,186,185,152,159,164,169,175,178,181,184,186,191,181,224,255,218,128,56,66,78,59,68,95,128,107,53,121,198,188,188,153,160,166,171,175,180,182,184,188,189,184,255,242,164,73,41,74,82,64,74,80,82,91,114,86,142,195,187,156,163,167,172,177,181,182,184,189,184,215,255,187,100,46,45,44,53,77,75,84,86,102,125,118,130,139,192,158,163,169,174,178,181,184,188,189,191,255,250,166,103,73,68,58,46,80,85,145,126,116,103,168,139,121,197,158,165,171,175,180,182,185,192,184,222,255,233,159,105,87,74,73,77,63,148,209,202,193,170,188,104,129,203,159,167,173,178,182,184,187,194,183,244,255,222,149,100,87,71,73,78,101,204,200,200,200,177,181,103,127,204,160,166,173,179,182,186,191,194,186,254,255,218,138,88,73,63,74,70,150,210,199,204,194,170,172,107,107,201,161,167,174,179,183,186,191,192,189,255,255,218,151,91,65,64,62,43,169,219,199,208,174,158,159,119,104,193,161,169,175,180,185,187,190,190,197,255,255,216,151,93,65,52,51,47,72,169,215,201,154,163,145,113,138,200,162,167,174,179,184,188,194,188,215,255,255,210,152,96,57,45,61,77,71,76,121,133,163,178,145,114,190,201,163,169,175,180,185,190,196,186,236,255,250,204,154,98,57,44,61,73,80,98,95,116,169,160,117,156,207,197,161,169,176,180,186,191,196,188,255,255,242,197,159,104,61,51,64,73,95,123,128,124,155,128,131,206,201,199,159,166,176,180,185,190,193,192,255,255,229,193,176,107,70,72,86,98,122,133,123,117,123,108,184,207,200,201,159,169,178,182,187,191,191,197,255,255,216,210,181,98,88,78,100,119,137,126,115,109,97,145,209,201,202,201,162,170,178,183,188,192,190,201,255,244,220,225,177,118,104,77,106,130,136,119,107,97,155,208,206,206,206,203,161,170,178,183,187,192,191,205,255,246,233,232,188,138,107,83,99,126,128,113,97,121,215,207,206,207,206,203,161,171,179,184,188,194,191,213,255,255,247,237,192,140,109,91,94,118,115,107,94,177,213,207,209,207,205,201,162,169,177,182,187,193,188,220,255,255,253,226,175,131,109,97,96,107,106,94,149,213,208,209,208,206,204,201,160,166,173,179,184,190,185,226,255,255,246,197,152,120,107,102,103,105,101,146,212,208,209,208,206,205,202,200
24,168,173,178,182,184,186,188,191,191,192,193,194,194,194,195,194,193,193,192,192,191,191,190,190,189,189,187,185,170,174,180,183,184,187,189,190,192,193,195,195,195,196,196,195,194,194,195,194,192,192,190,191,190,190,188,187,171,176,180,182,188,188,190,192,192,194,196,196,196,196,196,196,195,195,196,195,194,193,192,192,190,188,188,188,172,174,190,202,172,191,192,193,194,196,197,197,197,196,198,197,196,196,196,195,195,195,194,193,192,190,190,188,175,172,207,220,148,194,193,194,195,197,198,199,199,198,199,199,198,197,196,196,195,195,195,194,192,190,190,190,176,174,210,215,143,192,195,196,197,198,200,201,201,201,200,200,199,199,198,197,196,197,196,195,194,193,191,190,177,175,209,220,141,185,198,197,199,200,200,202,203,203,201,201,201,201,199,198,198,197,197,195,194,194,193,191,178,176,204,227,150,182,200,197,200,202,201,202,203,203,202,203,203,202,201,200,199,199,198,197,196,195,194,193,179,180,200,230,154,173,203,199,202,201,204,204,203,204,206,204,204,203,202,201,200,200,199,198,197,197,195,194,179,181,197,236,172,156,202,201,201,209,205,200,216,212,194,207,203,203,204,202,202,200,199,198,198,198,197,196,180,184,195,244,197,157,230,211,188,238,207,162,227,226,163,180,213,206,205,204,204,204,203,203,199,198,197,196,181,186,192,235,203,185,255,210,194,242,211,164,222,214,174,146,205,209,207,206,204,198,192,188,201,198,198,196,182,188,190,232,221,216,255,211,194,249,203,174,237,202,165,129,182,215,206,207,186,165,148,129,182,204,199,198,184,190,190,235,241,228,255,218,179,251,194,178,235,197,145,117,174,212,206,202,166,138,142,164,194,204,201,200,185,189,197,233,235,225,252,222,171,237,196,182,226,188,122,96,168,215,205,181,146,162,204,210,205,202,202,201,186,187,207,230,207,212,234,220,167,227,201,182,223,167,107,134,183,208,173,148,155,212,210,206,206,204,203,201,188,188,214,251,194,188,219,210,160,231,194,183,219,156,185,209,197,175,140,145,204,213,209,209,209,208,205,204,188,186,219,255,209,177,210,205,172,238,174,172,223,213,224,201,177,161,135,199,217,211,211,210,210,209,207,204,188,186,222,255,221,170,204,214,200,231,162,197,245,220,205,195,163,143,181,221,212,211,211,210,210,208,206,204,188,187,221,255,223,182,196,207,196,213,222,248,234,213,200,181,147,156,219,215,214,213,212,211,209,208,207,204,189,188,221,255,230,206,190,214,248,255,255,235,220,210,193,159,139,199,220,215,215,214,214,213,210,209,208,206,188,189,211,255,240,213,202,224,255,255,252,230,209,192,176,142,180,223,216,217,216,217,214,214,212,210,210,208,187,192,200,255,243,216,210,230,255,255,239,224,197,174,151,164,222,218,217,216,216,215,212,212,212,210,210,208,189,195,203,248,231,216,212,231,251,240,222,204,184,159,153,217,226,223,224,222,221,220,218,217,216,217,214,207,165,164,170,238,225,222,219,227,240,231,205,181,167,147,154,172,166,166,165,165,164,164,165,165,164,155,158,185,143,140,136,227,233,229,226,230,236,221,188,167,156,142,136,133,132,132,131,129,129,129,130,122,118,152,198,209,149,150,138,227,250,231,233,231,226,210,178,160,148,142,143,143,143,141,140,139,138,139,137,151,203,230,212,190,149,150,136,220,255,236,242,225,214,205,181,152,141,142,141,142,142,140,140,140,140,134,167,230,230,202,200,178
14,146,146,146,146,146,147,148,148,147,148,148,147,148,147,148,148,148,149,147,147,148,147,146,147,145,145,148,109,149,149,149,149,149,149,150,151,152,151,152,151,150,150,151,151,152,152,150,150,150,149,148,149,148,146,151,91,152,151,151,150,152,153,153,154,152,153,151,152,153,153,151,156,156,153,154,153,153,151,150,150,149,150,152,124,155,153,154,155,156,155,154,154,158,163,152,142,156,154,141,137,151,158,158,156,156,155,154,155,152,152,152,143,158,158,158,160,158,158,155,167,182,147,141,139,142,130,100,116,134,140,145,162,158,160,160,158,156,155,155,151,161,161,160,163,160,167,181,176,157,86,61,87,99,97,55,50,116,98,74,164,161,162,162,160,158,158,158,156,163,163,163,165,157,183,192,113,77,52,13,28,48,55,34,28,62,65,33,141,173,164,158,162,161,160,160,159,165,164,164,168,158,192,185,101,31,21,14,9,15,24,27,20,32,41,56,70,141,138,108,122,165,160,162,162,168,167,168,169,160,199,180,118,52,25,22,16,15,14,24,20,22,59,108,71,48,132,104,106,172,163,165,163,171,169,170,170,162,200,165,92,31,14,20,31,27,14,24,29,24,39,59,31,102,154,73,132,177,166,168,166,171,170,172,169,174,201,161,114,67,28,14,27,18,31,22,48,104,141,117,84,154,140,62,144,177,169,169,168,173,173,174,170,183,204,168,130,92,55,39,18,21,56,32,100,192,177,185,161,159,139,60,138,179,170,171,170,176,177,178,170,190,211,178,135,79,52,43,37,36,41,35,143,182,173,176,146,155,129,61,125,184,171,172,171,176,177,179,172,193,217,185,136,72,44,37,34,53,37,59,184,176,179,167,152,156,123,60,100,188,173,173,173,177,178,179,175,195,216,187,150,96,51,29,30,49,35,94,195,174,181,157,169,161,116,47,131,186,174,177,175,177,179,182,174,193,220,190,153,110,63,30,28,42,22,113,183,183,171,145,172,162,90,73,185,179,179,178,177,180,182,185,172,186,218,192,161,121,69,38,32,29,27,72,95,140,137,147,161,141,65,139,191,178,181,178,178,183,183,185,173,186,218,194,163,130,85,48,16,32,45,63,93,112,123,141,145,105,77,183,183,184,184,183,181,183,183,185,176,187,217,199,166,135,98,63,18,38,52,84,114,127,122,117,116,69,125,194,184,186,186,184,182,185,184,187,174,184,215,200,172,140,104,72,32,36,66,105,128,132,110,95,78,56,175,189,187,186,186,185,185,186,184,188,174,177,214,198,176,144,109,75,48,35,65,108,129,128,106,76,55,85,198,184,186,186,187,188,187,187,185,189,177,175,210,198,179,148,116,78,60,38,56,105,127,122,92,65,57,162,194,188,188,187,187,187,186,189,189,189,176,179,206,197,180,152,124,87,69,51,51,112,125,111,82,46,111,204,188,190,189,188,188,188,187,191,190,192,174,184,211,196,178,159,132,88,74,67,47,108,108,93,72,41,161,200,191,191,191,189,189,190,190,191,191,196,176,190,215,194,179,166,136,92,76,70,49,86,93,86,58,67,197,195,193,192,192,191,190,190,189,192,191,195,176,204,211,197,191,166,137,93,75,66,53,71,78,76,40,134,207,194,195,193,192,192,191,190,190,192,192,188,175,212,212,199,185,157,121,86,69,61,56,64,66,54,82,198,198,195,195,194,193,192,192,191,191,193,194,181,177,208,208,197,170,135,102,76,62,56,60,63,63,56,169,205,195,197,197,196,193,194,194,193,192
15,47,46,47,50,50,51,55,68,80,91,101,110,118,123,123,127,133,137,143,148,152,155,156,159,161,164,165,169,46,46,48,49,49,51,56,68,80,92,102,111,119,123,124,128,133,138,144,149,152,156,157,161,164,166,168,171,46,47,47,49,51,51,56,70,82,93,102,113,121,124,123,128,133,139,145,149,154,157,159,162,165,168,171,173,46,46,47,49,52,52,57,69,83,94,104,113,121,126,125,127,135,143,146,150,155,157,161,164,166,169,171,173,46,46,50,47,48,50,57,72,85,94,105,115,120,125,126,129,136,142,146,151,155,158,161,165,167,170,171,173,47,48,42,62,81,60,60,71,86,97,106,116,124,126,127,131,137,143,148,152,157,160,162,165,168,170,172,174,47,46,45,156,126,98,95,88,83,89,104,113,111,113,120,133,142,147,151,154,155,160,163,166,170,172,173,176,47,45,54,143,105,88,88,85,72,90,90,93,85,86,88,96,109,129,145,157,163,164,164,166,170,171,173,177,47,49,44,73,73,54,61,49,53,82,70,74,68,92,94,88,88,92,101,109,119,144,171,167,170,172,175,178,48,46,48,47,48,48,51,45,51,56,52,48,55,91,88,85,89,93,103,88,71,64,113,180,168,173,176,179,46,47,46,50,50,52,59,74,84,85,88,84,73,75,70,67,61,97,114,101,84,81,44,119,184,170,177,180,46,47,47,48,50,50,58,75,87,102,111,120,126,105,65,59,99,119,117,108,80,100,75,37,143,185,175,180,47,47,48,48,50,51,60,75,88,95,114,135,122,102,78,112,158,102,119,87,120,108,92,66,45,168,183,179,46,46,46,48,50,48,61,77,82,119,164,127,87,79,63,76,139,77,70,129,136,99,130,96,40,71,192,180,45,44,45,45,48,46,59,76,74,160,164,82,70,82,80,54,78,35,70,177,90,100,138,111,70,20,123,196,45,44,43,45,46,47,58,77,75,144,130,67,80,100,106,97,70,38,86,124,51,95,138,120,80,40,37,142,44,43,42,44,45,46,60,77,76,138,117,46,92,108,120,105,65,61,70,72,81,101,109,100,72,43,32,41,43,42,42,45,45,46,58,76,75,140,175,85,80,109,118,94,54,56,68,73,87,93,78,53,49,39,34,37,41,41,42,44,44,45,57,76,78,140,139,167,118,73,61,53,49,64,66,70,79,94,76,39,37,37,37,42,41,41,40,43,42,44,56,74,78,183,140,145,149,99,55,6,14,49,71,76,87,99,71,40,38,38,41,43,37,38,38,40,40,42,56,71,82,120,136,153,138,127,94,32,0,0,26,86,83,79,53,40,43,44,42,41,40,38,37,37,36,40,54,69,83,91,104,120,110,114,93,82,14,3,22,83,99,75,57,55,58,56,48,42,101,96,92,87,89,91,91,94,97,101,106,108,89,82,112,144,58,5,39,39,93,106,91,75,64,55,46,43,77,76,76,79,81,79,78,77,69,68,71,76,80,75,86,161,63,50,57,39,54,68,69,61,51,45,41,38,82,80,81,82,81,80,81,84,77,77,81,81,83,84,76,93,71,87,87,80,79,63,47,43,41,36,33,34,87,84,83,84,85,84,83,86,86,85,88,86,86,88,89,83,89,85,88,89,108,100,72,53,44,37,33,34,89,88,85,85,87,86,87,87,87,88,87,88,87,86,87,87,88,88,86,85,101,109,97,65,58,70,58,39,88,87,85,84,87,89,88,89,88,89,90,88,87,88,87,87,88,88,87,89,76,109,149,89,99,106,86,65
20,192,194,196,197,199,200,200,201,202,202,202,202,201,201,200,199,199,198,197,198,196,194,194,192,192,190,190,190,192,195,197,197,199,202,201,202,204,204,203,204,203,202,202,200,200,199,198,188,196,196,195,193,193,192,192,192,193,195,197,199,200,202,202,204,204,205,205,204,203,202,203,203,200,199,208,154,162,207,195,195,195,194,193,193,194,196,198,200,201,203,204,205,205,206,206,204,204,205,204,204,201,203,209,148,149,187,194,197,196,195,194,193,195,197,198,201,202,203,205,205,207,207,206,205,205,205,205,204,202,209,199,144,125,146,159,203,196,195,194,195,196,198,200,202,202,204,206,206,208,209,207,207,207,206,205,207,202,216,196,135,142,165,145,203,197,197,195,195,197,199,200,203,204,206,207,208,210,210,209,208,207,207,207,207,205,218,191,135,175,169,143,203,199,198,197,196,198,200,202,204,205,206,208,209,211,211,210,210,209,209,208,206,207,216,181,137,194,173,147,203,200,200,199,198,199,201,203,205,206,207,209,210,211,212,212,212,212,210,212,211,210,213,168,148,202,166,154,206,201,200,200,198,200,202,204,205,207,208,209,211,212,212,212,213,213,208,178,187,224,212,161,167,206,155,157,210,201,202,201,199,201,203,204,206,207,209,211,212,213,214,213,212,210,212,176,139,198,207,152,182,213,152,163,211,203,204,202,201,201,203,205,207,209,210,213,213,214,215,212,218,215,211,207,175,153,150,129,182,201,145,174,212,204,204,203,203,202,204,208,210,210,211,213,213,215,216,214,225,223,216,226,212,168,126,107,158,175,140,184,212,206,205,204,204,204,206,208,211,212,213,214,216,217,215,221,211,177,204,204,207,170,133,122,136,144,132,194,211,207,205,205,204,204,207,209,210,213,213,215,217,217,215,227,204,153,190,187,203,191,150,126,122,129,130,203,210,207,206,206,204,205,207,209,211,213,214,216,217,217,216,230,213,180,159,139,184,206,163,131,120,121,135,208,211,208,207,207,206,206,207,209,211,213,215,217,218,218,219,220,185,163,147,113,146,219,177,145,126,117,144,215,209,209,208,207,207,206,208,210,212,213,215,218,219,217,225,218,184,175,158,134,192,221,184,165,136,117,155,218,209,211,210,207,206,206,208,211,212,214,215,218,219,218,229,213,195,174,154,194,237,207,180,173,141,121,162,220,210,211,210,209,207,207,209,211,212,215,217,219,219,221,235,222,191,164,180,241,216,190,171,165,142,127,175,219,211,212,211,209,207,207,210,211,213,216,218,220,220,225,245,216,178,173,210,243,208,185,159,150,142,132,195,217,212,212,211,210,208,208,210,212,214,216,218,220,219,228,242,194,194,176,223,234,206,183,160,138,137,141,210,216,214,212,213,211,209,206,208,212,213,216,217,219,218,229,230,210,207,173,233,225,196,174,158,140,133,157,218,214,214,212,212,210,209,206,208,210,213,215,217,218,218,223,230,232,195,192,233,207,183,164,148,141,132,181,219,214,213,212,212,210,208,206,209,212,213,216,217,219,218,221,230,225,195,184,213,196,170,153,142,137,138,204,219,215,213,213,212,210,209,206,209,212,214,216,217,219,218,222,223,204,190,179,194,190,168,156,143,129,158,218,216,216,214,213,212,211,210,205,209,212,213,216,218,219,219,221,212,198,192,192,191,197,183,153,140,126,181,222,215,215,214,213,212,212,210,205,208,211,213,216,218,219,220,220,221,215,215,208,194,191,182,148,134,130,199,220,214,214,213,213,211,211,210
13,177,179,181,183,184,186,187,189,190,192,191,190,191,191,191,192,191,192,192,191,190,189,190,189,188,188,187,187,178,179,182,184,185,187,188,191,191,191,193,192,192,193,192,193,193,192,193,192,191,191,191,191,188,188,189,189,179,181,184,185,187,188,190,192,193,192,193,193,193,194,194,195,193,192,194,193,191,192,192,191,191,190,190,190,181,183,186,187,188,189,192,193,193,193,194,195,196,195,197,196,195,194,192,193,196,194,192,191,192,192,192,191,181,183,186,188,189,191,192,194,194,195,196,196,197,198,194,195,193,196,205,180,149,184,197,195,196,192,193,193,182,184,187,189,190,192,193,193,195,196,197,197,196,187,207,207,163,165,223,183,122,129,194,173,185,196,193,193,184,186,189,191,191,192,194,195,197,198,195,203,201,154,173,220,170,144,216,181,129,92,168,146,120,196,195,194,185,187,189,191,192,192,194,196,198,197,198,228,211,174,127,207,179,139,212,172,122,98,172,157,96,172,202,194,186,188,189,191,194,195,196,198,201,196,214,230,220,185,126,189,186,122,197,181,107,131,199,160,88,153,206,192,186,189,191,192,194,197,198,199,199,200,226,196,215,187,118,165,189,115,200,199,119,114,145,113,80,155,207,194,187,190,192,194,195,196,198,199,196,212,227,200,212,171,111,163,178,110,129,162,107,93,137,132,90,162,206,196,188,191,192,193,195,198,198,197,208,230,210,185,204,153,112,185,162,124,59,60,63,137,189,188,120,171,206,197,190,192,193,196,198,198,201,195,218,233,201,166,184,155,115,190,168,122,57,109,139,174,187,186,134,171,207,198,191,193,194,197,199,198,202,198,225,228,203,171,151,160,101,199,211,120,125,216,203,179,154,145,121,143,209,198,191,193,195,198,200,200,203,201,234,226,209,194,166,134,100,169,183,159,215,211,188,170,147,124,111,115,204,202,192,194,196,198,201,203,201,205,240,225,210,195,184,151,146,147,190,218,217,200,180,161,138,119,106,117,207,201,194,196,198,199,202,203,202,208,240,225,209,200,187,164,151,166,223,224,211,189,167,151,129,118,96,159,211,201,194,197,199,201,204,205,204,206,237,228,211,202,191,169,157,184,222,223,207,183,158,140,122,107,105,201,206,204,195,197,200,202,203,205,205,206,236,230,215,203,191,173,170,200,211,208,194,175,154,133,118,90,133,216,204,207,195,199,201,203,204,205,205,206,236,229,213,203,186,173,187,202,188,188,177,162,145,126,99,103,192,209,205,205,197,199,202,204,205,207,208,205,236,227,218,203,184,181,197,195,177,175,159,144,131,101,115,195,211,206,207,207,198,199,203,205,206,207,208,209,242,229,226,205,192,191,203,188,172,160,145,136,106,115,203,212,208,209,209,209,198,200,203,205,207,208,202,223,246,233,229,204,198,202,196,176,161,141,136,112,109,198,215,210,209,209,209,209,199,200,203,204,208,209,203,235,235,232,226,202,200,197,186,163,143,130,118,102,183,214,211,212,211,210,210,210,199,201,203,205,208,207,208,235,219,217,212,196,193,194,173,147,134,126,99,165,218,211,213,212,211,211,211,210,200,202,204,207,209,204,212,233,212,200,197,184,191,191,155,142,134,106,124,211,215,214,212,213,211,211,210,210,200,203,205,207,211,198,222,232,204,197,193,181,185,170,144,139,120,98,170,218,215,215,212,212,213,212,211,210,201,204,206,208,209,199,237,227,192,190,194,181,171,157,139,130,101,114,201,217,215,215,214,214,213,212,212,211
21,151,155,158,161,163,164,165,166,168,168,169,169,170,168,167,168,169,166,165,165,162,162,162,161,159,158,157,156,152,156,159,162,164,165,167,168,170,170,171,172,172,171,170,167,162,168,166,166,165,164,164,163,161,160,159,159,153,157,160,163,165,165,168,170,172,172,173,172,173,172,174,180,108,137,174,167,166,165,165,164,163,161,161,160,155,158,162,165,166,167,169,171,174,174,174,173,174,171,179,181,95,129,177,168,169,167,168,166,165,162,162,162,157,160,163,167,167,168,171,173,175,175,175,175,175,172,186,170,98,140,178,170,171,167,164,169,167,165,164,164,157,161,164,166,169,171,172,174,175,176,176,177,179,173,192,167,99,148,180,170,171,156,111,145,174,166,167,166,159,162,166,167,171,172,173,173,175,177,179,179,180,177,194,163,103,159,178,172,167,143,88,136,176,168,168,166,160,164,167,170,172,174,174,176,178,179,181,180,180,179,195,157,101,164,178,173,162,138,95,163,171,168,168,167,160,164,167,170,172,174,176,178,179,179,180,180,178,184,194,152,97,163,181,172,160,123,109,176,170,171,169,169,162,166,169,172,173,175,177,179,179,181,181,182,176,191,195,144,95,171,178,165,158,105,141,180,170,172,171,170,164,168,171,173,175,176,178,179,181,181,179,178,178,201,191,131,107,185,169,160,141,98,167,177,173,173,172,171,164,167,171,174,175,178,180,181,180,187,180,134,130,186,164,109,112,186,165,163,111,115,184,176,175,175,174,173,165,168,172,174,176,179,181,181,181,185,183,141,105,104,104,83,127,183,169,150,95,157,184,176,176,176,174,173,166,169,172,175,178,180,181,182,185,191,181,180,151,121,81,79,128,157,158,120,105,182,180,177,177,176,175,174,166,170,174,176,179,180,183,183,192,201,192,210,188,142,91,84,99,112,122,92,142,188,179,179,178,178,177,176,167,171,174,177,180,182,183,188,189,159,183,191,177,126,92,83,89,95,93,95,176,184,182,181,180,178,179,178,166,171,175,178,181,183,182,198,174,131,170,132,164,142,104,86,78,88,81,126,191,183,183,183,181,179,179,178,169,173,176,179,182,184,184,201,187,152,120,80,147,165,118,89,77,81,80,156,192,184,184,183,182,182,181,180,170,175,177,180,182,183,186,201,164,126,108,83,122,179,133,101,86,81,81,171,190,186,186,183,183,183,182,180,170,174,178,181,183,183,195,204,159,147,138,109,169,189,145,126,95,86,79,171,194,188,188,186,184,183,182,181,170,175,179,181,184,182,201,200,171,160,127,156,221,185,147,136,102,91,87,175,194,189,189,188,185,184,184,182,171,176,179,180,184,185,205,208,187,146,140,214,207,167,138,133,106,94,97,183,191,190,188,189,187,186,186,183,171,176,179,181,185,185,209,220,176,147,158,220,194,165,133,120,111,93,109,192,190,190,189,189,188,187,185,183,172,177,180,183,187,184,210,204,160,165,162,217,190,167,148,107,103,90,128,198,190,192,191,190,188,187,186,185,171,175,179,181,185,185,204,182,183,174,159,217,186,158,143,110,101,90,150,199,191,192,190,190,189,188,187,185,171,174,176,180,183,185,192,192,210,170,173,207,171,144,125,108,103,94,167,197,191,190,189,188,187,186,186,183,170,175,177,180,184,187,187,199,200,160,158,188,157,129,108,103,97,104,182,195,191,191,190,188,189,187,186,184,172,175,178,181,184,188,189,194,181,159,146,170,153,126,113,103,91,114,194,194,193,192,191,189,189,188,187,185
21,212,215,217,217,217,217,218,220,220,220,221,222,217,210,221,219,220,220,218,217,216,216,215,212,216,121,37,32,216,218,219,220,221,221,221,222,223,223,222,225,240,164,209,226,222,222,222,221,223,218,217,220,192,103,52,39,219,221,222,224,224,225,225,224,226,225,225,228,246,152,189,234,224,225,227,213,194,225,220,225,189,74,54,57,223,224,225,225,227,229,228,228,229,229,229,232,248,153,172,240,229,228,236,218,138,224,223,227,198,94,66,79,225,225,228,229,230,230,231,231,231,231,231,234,255,163,161,242,231,229,244,212,131,226,227,225,229,119,64,77,227,228,230,231,232,233,233,233,233,234,233,234,255,183,159,242,235,232,247,203,136,227,231,227,233,162,67,66,229,231,231,234,234,235,236,236,236,237,237,235,255,197,158,240,239,236,254,200,144,230,232,229,235,211,78,53,231,233,235,236,237,237,237,238,238,238,239,235,255,210,160,229,244,238,255,207,151,236,235,234,231,238,110,54,233,236,236,237,239,240,239,240,240,239,242,238,255,231,170,212,248,242,255,205,151,238,237,236,233,241,179,173,235,236,238,240,240,240,241,242,241,241,243,239,255,248,174,205,250,249,255,202,149,243,238,238,236,238,179,227,236,238,240,242,242,242,244,244,244,244,246,231,242,255,167,204,252,255,255,188,158,250,241,240,238,237,203,235,237,238,239,242,243,244,245,245,246,244,255,239,200,217,186,181,253,255,243,174,173,254,241,242,242,241,230,182,238,239,242,243,244,246,245,246,247,245,255,255,233,176,218,129,212,255,231,162,191,255,243,244,244,243,236,173,239,241,242,244,245,245,246,247,246,251,248,255,255,215,225,141,128,199,199,147,215,255,246,245,244,245,241,217,240,242,243,245,246,247,247,248,247,253,222,212,255,222,214,196,149,133,155,123,223,255,246,246,245,245,246,239,241,242,244,246,246,247,248,250,250,246,255,216,243,229,179,225,206,142,120,113,217,255,247,248,247,246,245,243,241,242,243,244,246,246,249,249,252,254,255,234,160,214,163,195,217,162,113,105,217,255,249,249,247,247,245,244,241,242,242,242,246,246,247,247,255,255,255,189,123,145,204,163,204,193,136,98,222,255,248,248,248,247,245,244,241,242,243,245,245,247,247,253,255,237,212,200,151,95,165,123,181,234,163,108,236,255,248,248,247,246,245,244,241,244,245,246,246,248,249,252,255,233,199,213,161,112,86,154,210,253,201,124,197,255,249,250,247,246,246,245,241,243,244,244,245,247,248,249,255,245,218,207,196,135,118,253,238,244,221,158,142,255,251,250,248,247,246,246,248,251,252,253,252,254,255,255,255,255,227,163,198,155,182,255,254,233,206,165,159,255,251,250,248,246,246,247,182,186,191,195,199,205,209,213,255,255,223,158,194,176,240,255,243,224,187,133,176,255,255,255,255,252,246,243,124,124,127,127,125,126,127,126,255,255,216,183,205,191,255,255,239,213,180,129,141,166,161,160,168,183,213,237,136,137,136,135,135,135,138,128,237,255,221,212,223,202,255,255,235,204,162,132,124,127,148,181,211,238,255,255,134,135,133,134,136,135,139,125,197,255,245,241,235,188,255,255,215,186,142,128,211,231,242,255,255,254,255,255,133,134,132,134,136,135,136,133,149,255,255,245,230,185,226,242,187,152,123,139,255,255,228,218,237,248,245,253,134,133,132,134,136,135,135,138,129,236,253,224,202,172,180,212,163,132,118,159,207,222,247,201,198,222,240,251
6,155,156,156,157,159,159,160,161,162,162,161,161,160,161,160,160,161,161,162,161,162,160,160,159,157,156,156,158,162,162,162,162,164,163,162,163,163,164,163,163,163,163,164,164,165,165,163,163,164,163,162,161,160,159,160,159,165,165,165,165,166,166,166,166,167,168,168,168,168,168,167,169,169,168,167,167,167,168,165,163,165,164,164,156,167,168,168,170,169,170,169,169,170,172,171,170,169,171,171,172,172,170,169,170,169,170,167,167,169,167,170,142,171,171,171,171,172,172,173,172,174,175,173,174,178,174,172,173,173,173,175,175,173,170,176,172,170,170,171,162,175,174,175,175,175,176,176,176,177,178,181,164,150,179,178,179,176,176,170,173,164,174,216,170,166,174,173,168,178,178,179,179,178,180,181,181,181,177,196,149,74,155,170,166,177,177,162,168,170,157,180,138,168,177,174,175,179,180,182,182,181,183,185,186,185,187,200,151,153,174,167,159,176,171,159,141,130,111,108,152,180,177,178,177,183,184,185,185,186,187,190,189,185,185,188,194,200,184,157,148,121,108,96,91,105,141,178,186,181,181,180,178,186,187,188,189,188,189,183,177,180,185,191,190,168,143,120,93,93,112,139,172,188,193,189,184,183,182,181,180,188,189,191,191,192,190,174,170,171,173,158,124,94,78,92,153,185,191,196,192,189,189,189,187,185,185,185,183,191,192,192,191,200,199,194,193,151,115,117,103,78,93,168,197,200,198,192,194,193,192,193,190,189,188,186,186,194,194,194,192,206,208,218,179,116,106,106,122,132,131,119,119,142,175,201,195,195,194,195,194,192,191,190,188,196,196,195,199,213,214,223,163,130,144,115,108,124,135,123,118,112,86,174,204,196,197,198,196,195,193,192,191,197,198,197,209,223,219,220,209,211,191,128,97,111,120,108,101,108,70,154,213,199,200,199,198,195,195,194,193,199,200,200,216,225,219,219,222,225,199,135,93,108,119,121,110,99,77,148,213,200,201,201,201,198,197,197,196,202,202,205,215,220,220,219,218,213,206,178,139,104,88,112,117,113,93,87,207,203,202,202,202,202,201,200,199,203,203,202,220,217,222,218,218,216,219,222,185,117,83,104,112,105,83,102,213,205,204,203,204,205,204,202,202,204,202,203,220,224,225,222,222,218,218,223,178,120,98,99,103,98,81,92,198,210,206,205,206,206,204,203,203,208,200,212,221,224,227,231,222,215,220,204,153,113,105,100,100,96,93,62,168,219,207,207,206,206,205,205,205,210,192,213,223,223,229,226,211,210,203,172,136,116,108,87,96,97,87,97,204,213,209,210,209,208,207,207,206,205,190,215,222,224,226,209,202,201,180,151,127,131,136,89,70,72,79,191,218,210,212,212,211,210,209,207,207,196,200,223,219,217,210,195,193,192,174,151,143,138,142,66,42,76,179,222,212,214,213,213,210,211,210,209,209,189,207,220,214,208,201,190,187,182,173,161,149,122,93,131,165,209,223,218,216,214,214,214,212,212,212,211,210,187,211,217,203,198,190,194,194,176,162,156,129,83,127,236,224,220,218,219,217,217,216,216,215,214,213,213,211,195,210,209,200,195,180,187,186,167,154,136,107,77,198,224,218,218,217,218,218,218,218,216,216,215,214,214,212,200,205,198,195,187,172,174,168,155,138,113,81,136,231,219,221,221,220,219,220,218,218,219,218,217,217,215,213,200,202,203,196,181,171,164,156,132,109,87,90,211,224,219,221,222,221,220,220,220,219,219,219,218,218,217,215
24,136,141,147,152,156,160,163,167,170,173,176,179,181,183,184,186,186,187,187,188,189,189,190,190,190,189,189,188,138,143,149,154,158,161,164,168,172,175,178,180,183,185,186,187,187,188,189,189,190,191,192,193,192,191,191,191,140,145,150,155,160,163,166,170,173,177,180,182,185,187,188,189,190,191,192,192,193,193,194,195,194,193,194,194,141,148,151,145,156,165,169,172,175,179,182,184,187,189,191,191,192,194,194,195,195,195,196,196,195,195,196,196,143,150,148,120,135,165,170,174,178,181,184,186,188,191,193,194,194,195,196,197,197,196,197,197,197,197,198,197,145,150,144,107,109,159,172,176,180,183,186,188,190,193,195,196,196,197,198,199,199,198,199,200,200,200,200,200,146,152,150,114,94,147,173,177,181,184,187,190,191,194,196,196,197,198,200,201,201,200,200,201,201,201,201,201,147,153,155,126,91,128,172,178,176,178,186,186,176,179,188,181,181,195,201,202,203,202,201,202,202,201,196,192,149,155,159,142,102,108,162,172,153,147,170,180,153,131,153,159,142,168,200,203,203,203,203,203,200,190,170,148,150,156,162,157,120,96,138,163,155,143,151,179,159,122,138,158,124,129,192,205,204,204,204,202,192,169,138,128,152,157,162,164,139,108,115,148,174,163,146,173,168,133,147,161,118,107,179,206,207,206,204,197,176,141,133,171,152,158,163,166,158,130,108,119,168,173,145,160,170,137,146,163,119,94,164,207,208,206,201,190,156,122,159,201,154,159,164,169,168,144,123,122,149,173,149,144,167,137,137,166,130,90,150,205,205,198,195,177,133,125,187,209,155,160,166,171,173,163,159,142,132,153,142,119,149,129,123,169,144,87,123,186,186,184,182,151,120,161,205,211,156,161,167,171,175,179,171,134,110,122,127,100,126,122,116,174,153,81,88,138,159,168,154,122,144,198,211,213,155,161,167,172,175,180,172,140,114,112,119,107,118,127,109,130,123,95,113,140,148,143,120,124,184,211,213,214,156,161,166,171,175,180,186,167,135,118,114,113,113,140,128,128,152,158,162,154,132,114,104,155,206,213,213,213,156,162,167,170,175,181,192,184,159,135,115,107,117,152,171,186,191,183,170,147,116,99,123,189,211,213,214,213,156,161,167,171,176,181,193,194,179,149,119,108,135,175,198,199,191,175,157,132,105,108,167,208,213,214,215,215,156,161,167,171,177,182,193,200,189,155,125,122,151,186,201,197,183,162,140,117,102,146,201,213,215,215,216,216,155,160,166,171,176,180,189,197,194,164,143,143,154,184,197,192,175,153,127,105,118,186,212,214,215,216,216,216,144,150,155,160,165,170,176,187,191,170,152,149,143,167,183,178,163,143,115,104,155,206,213,213,213,215,216,216,110,113,115,118,122,126,132,157,183,170,152,142,126,144,164,156,142,123,103,111,160,180,184,186,188,191,195,196,96,97,99,100,101,102,103,126,176,170,145,130,116,135,154,142,121,104,93,101,115,120,123,124,126,128,131,133,97,98,101,102,102,103,103,116,167,163,138,125,121,136,149,131,106,90,90,103,107,107,108,110,111,117,124,129,97,98,100,101,101,102,103,116,169,164,146,138,134,137,140,120,94,83,93,106,109,109,110,119,140,162,172,166,98,99,101,101,101,102,103,120,177,176,163,153,140,131,130,109,88,81,97,108,109,109,112,142,184,191,196,186,100,100,102,102,102,103,103,122,177,179,170,158,134,124,123,102,85,79,97,108,109,110,120,172,207,192,185,198
10,109,118,127,140,158,166,172,176,178,180,180,181,183,183,183,184,185,184,184,182,181,180,180,178,176,175,172,171,110,119,128,142,159,167,173,176,178,180,181,183,184,185,185,185,185,185,184,183,182,183,180,178,178,176,174,172,112,120,129,143,160,169,175,177,179,182,183,184,185,186,187,188,187,187,185,185,185,175,179,181,179,177,176,173,113,121,130,144,161,170,176,179,181,183,185,186,187,188,189,189,189,189,188,186,192,147,148,187,179,179,177,175,115,122,131,146,163,171,176,181,183,184,187,189,189,190,190,190,191,191,190,188,195,149,133,188,181,181,178,177,116,123,132,148,164,172,179,182,183,185,188,190,190,191,193,193,193,193,192,191,196,147,129,188,183,183,182,179,117,124,133,149,166,173,180,184,185,187,190,192,193,194,196,196,195,194,195,194,201,152,131,192,187,185,184,182,118,125,134,151,167,174,181,184,185,188,191,194,195,196,196,196,196,197,195,197,185,151,131,193,189,188,186,184,119,127,135,152,168,176,181,185,188,190,194,196,196,197,198,198,199,200,201,204,135,130,129,195,191,189,188,186,119,127,135,154,169,176,183,187,188,191,195,196,196,199,200,199,200,196,188,184,130,108,134,198,191,191,188,187,120,127,136,154,169,178,184,187,189,192,196,197,198,201,202,205,206,195,171,129,120,96,140,203,193,192,191,189,121,128,137,155,169,179,184,189,191,193,196,199,200,201,199,183,194,191,152,107,101,107,123,202,194,194,192,190,123,129,138,157,170,179,185,189,191,195,198,201,203,208,195,157,133,115,99,104,121,109,105,197,197,195,194,190,124,131,139,158,171,180,186,190,192,195,199,202,194,187,205,180,131,77,79,100,167,127,102,192,199,196,194,192,124,131,140,159,170,181,186,191,193,195,199,205,189,156,164,194,150,93,86,100,178,153,104,187,202,196,195,193,124,132,140,158,170,181,186,191,193,197,200,205,201,188,150,178,157,111,79,113,179,161,103,172,207,197,196,195,125,132,140,159,172,181,188,193,194,198,201,204,176,184,146,144,158,117,86,150,180,158,100,157,210,197,198,196,125,132,142,160,173,181,187,193,195,198,201,209,181,148,141,119,166,157,118,178,170,137,99,165,209,198,198,195,125,132,143,161,172,182,187,193,195,199,202,206,190,156,136,134,160,169,126,176,160,121,96,180,208,199,199,196,125,133,143,162,172,181,188,193,196,200,203,206,210,180,145,133,135,163,157,173,151,118,93,189,208,201,200,198,125,133,143,163,173,181,188,194,195,200,202,204,211,192,166,145,143,198,197,166,142,113,98,200,207,202,200,198,125,133,144,163,173,182,189,194,196,200,204,205,197,190,175,162,153,192,188,156,135,106,107,209,206,204,202,200,125,133,144,163,172,182,189,194,197,200,203,208,194,188,180,170,156,185,181,147,126,92,125,216,205,205,203,201,125,131,143,162,172,182,189,194,196,200,203,206,204,186,182,168,151,167,164,135,116,83,160,216,204,204,202,200,123,130,142,160,171,180,188,192,194,198,201,203,207,196,178,162,148,150,157,136,110,97,198,209,205,202,200,198,123,129,141,159,170,180,188,193,195,199,202,204,207,207,183,163,159,152,159,143,101,126,215,204,203,201,200,198,123,128,140,158,168,180,187,192,194,198,201,204,207,205,192,178,173,158,157,135,97,150,216,204,203,201,199,198,121,127,140,158,167,178,186,190,192,196,200,202,205,198,201,186,175,157,142,127,94,156,214,202,202,201,198,197
4,132,135,137,139,141,144,145,148,148,150,150,151,153,153,153,154,153,153,150,151,151,150,150,150,150,149,149,148,133,136,138,141,143,144,146,148,150,151,151,155,155,153,151,152,157,154,154,153,153,152,151,150,151,150,150,149,134,137,140,142,144,145,148,149,151,150,150,146,152,165,151,116,125,159,154,154,154,153,152,152,152,152,150,150,135,138,140,142,145,148,149,151,150,163,157,127,118,180,158,119,82,159,160,158,155,155,154,153,154,153,152,152,136,139,142,145,147,149,150,149,146,186,176,139,95,156,162,121,76,116,131,141,160,155,155,155,155,154,153,153,137,140,144,146,147,147,157,171,154,134,175,157,105,134,169,121,60,75,120,90,134,162,155,156,156,155,154,153,138,141,145,147,149,150,177,183,159,95,153,160,100,111,158,109,57,82,124,94,74,159,158,157,156,156,154,154,138,141,145,148,149,152,174,166,151,91,139,143,94,87,129,98,53,98,132,98,61,150,162,158,157,157,156,155,139,143,146,147,149,150,173,152,153,95,126,134,91,65,105,89,64,144,138,90,62,153,162,157,157,158,157,155,140,143,146,148,151,150,177,146,138,127,113,137,119,69,92,72,71,143,112,64,62,161,161,157,158,159,157,156,141,144,147,150,151,152,183,172,142,107,78,149,134,129,119,110,112,131,122,81,63,165,162,160,160,159,158,157,142,145,149,150,151,156,186,167,139,101,72,86,90,141,123,135,150,160,153,102,78,167,162,162,160,160,160,158,142,146,149,150,150,162,184,148,116,96,80,67,61,91,124,133,145,150,139,100,74,159,163,162,161,160,160,160,142,146,149,152,149,169,184,150,121,92,73,70,79,79,99,113,113,120,126,110,66,134,170,161,161,160,161,161,143,146,149,152,149,173,183,154,121,95,82,77,84,104,97,102,123,129,138,121,75,103,174,161,162,162,161,161,143,147,150,153,151,179,180,149,114,90,84,77,79,111,108,139,159,160,163,133,92,70,163,165,163,163,161,161,144,147,150,154,153,180,178,148,116,95,85,84,86,109,124,166,176,169,173,143,103,58,129,174,163,166,163,163,145,147,150,154,153,178,172,149,120,106,96,89,88,107,162,174,178,162,157,133,98,57,123,175,164,165,164,163,145,147,150,154,153,176,167,149,126,108,96,91,94,142,184,180,168,153,132,112,80,65,156,169,165,165,164,163,145,146,150,153,152,174,173,151,117,99,93,99,116,174,185,176,154,134,112,90,59,106,173,164,165,164,164,162,145,146,150,152,152,170,178,153,125,123,106,108,135,182,178,164,141,119,97,71,64,159,168,165,165,165,164,162,145,147,150,153,154,164,174,159,138,134,116,95,147,181,165,147,126,106,84,53,110,176,166,167,166,165,164,163,145,148,150,154,155,163,178,161,139,134,118,95,155,170,147,128,105,87,67,61,162,170,167,166,166,165,164,163,145,148,150,155,151,165,185,169,145,129,108,96,151,154,130,110,87,75,46,112,176,166,167,167,166,166,164,163,146,148,150,155,148,182,183,161,137,115,88,102,141,125,96,83,71,52,70,167,167,166,167,166,166,165,164,162,146,149,154,151,161,190,175,160,141,109,97,116,125,93,73,70,62,59,153,173,168,169,168,168,168,168,166,166,137,139,142,138,178,182,175,165,139,116,110,114,109,82,76,79,56,116,161,155,157,157,157,158,158,158,157,156,94,94,87,114,185,168,159,151,124,113,124,99,88,76,73,69,62,89,90,90,90,89,89,89,90,92,93,92
19,171,172,175,175,174,174,174,173,173,173,173,172,172,171,170,171,169,169,168,167,166,165,165,164,163,162,161,159,173,174,174,174,175,175,175,175,174,174,174,173,172,172,171,171,171,170,168,167,167,166,166,164,164,164,161,160,174,175,174,176,178,177,177,179,179,174,175,175,174,173,172,171,172,171,170,168,168,167,167,166,165,163,161,161,175,176,178,178,177,179,170,155,162,181,174,176,176,173,173,173,172,171,171,168,169,168,168,166,165,163,162,161,177,178,178,180,174,195,188,157,120,154,183,176,177,174,175,174,173,172,171,170,170,170,168,167,165,165,164,162,178,178,178,180,176,186,213,184,142,97,169,181,177,176,174,174,174,173,172,172,170,170,169,167,167,167,164,162,180,181,180,181,180,178,209,195,157,92,117,189,177,176,175,175,175,173,172,172,171,170,171,169,168,166,164,164,181,182,181,182,181,175,202,193,148,100,86,179,179,177,177,175,175,175,172,171,172,171,171,170,169,167,165,164,183,182,183,184,180,200,198,174,147,101,81,173,184,183,180,178,176,177,174,172,174,173,171,171,170,168,166,164,182,183,185,179,209,226,196,169,170,159,141,163,165,171,180,182,179,177,176,174,172,172,172,171,171,170,167,166,185,186,181,194,220,185,151,144,164,193,199,184,167,155,147,160,173,179,179,174,174,174,173,172,172,170,167,166,186,186,184,222,215,190,140,102,115,163,195,203,200,192,165,154,147,159,166,176,178,176,174,173,172,170,169,167,188,182,210,228,206,189,170,140,113,125,151,170,183,191,189,188,183,180,156,142,155,170,179,174,172,171,170,168,187,188,220,206,180,167,161,162,168,154,141,136,135,144,161,176,189,200,191,162,144,123,146,173,175,171,170,168,183,207,229,202,162,139,141,129,167,184,171,158,136,105,106,144,147,164,172,173,165,142,131,149,162,174,171,169,190,231,235,201,172,157,153,149,145,164,183,178,159,126,108,148,182,167,158,149,149,152,159,149,133,178,171,171,206,234,219,192,174,172,176,177,171,130,124,158,159,145,133,111,180,188,185,180,170,159,150,145,162,176,172,171,222,227,205,176,153,165,195,187,191,143,106,132,118,134,138,123,181,185,184,184,184,184,178,177,177,173,173,172,223,227,203,163,139,115,155,186,204,173,151,131,120,106,108,164,188,185,185,183,181,180,179,178,176,173,172,171,232,233,192,164,154,149,139,143,131,181,186,144,138,111,158,191,185,185,185,184,182,180,179,178,177,176,173,171,234,219,188,170,163,163,161,149,132,154,164,159,124,140,194,186,186,186,186,184,182,180,180,179,179,177,175,172,225,211,194,177,173,170,160,144,134,132,122,111,149,188,191,188,188,186,186,185,183,182,181,180,178,177,176,173,222,203,186,172,166,173,164,149,133,138,120,144,196,191,190,188,189,187,186,185,183,183,182,182,180,178,176,173,216,201,182,149,130,131,137,138,135,131,141,192,192,191,191,189,187,186,185,185,184,183,182,181,179,178,176,176,202,184,157,122,102,86,136,160,150,170,195,197,197,196,195,193,191,190,191,190,190,186,181,179,181,185,185,177,181,153,123,113,101,93,165,180,175,175,171,171,170,169,168,168,168,167,169,163,157,168,184,192,191,178,172,164,147,127,114,110,105,102,102,100,97,95,95,97,96,94,93,94,95,93,87,107,150,183,186,175,169,176,179,145,123,114,110,107,109,106,103,102,99,97,99,98,97,96,94,95,94,90,141,196,188,177,167,171,156,178,205,152
6,189,190,189,189,189,189,190,189,190,188,188,187,186,186,185,186,184,184,183,182,180,180,180,179,177,177,175,173,190,191,191,191,191,191,190,191,191,189,189,188,188,188,188,186,185,186,184,183,182,181,181,180,179,177,177,175,193,193,194,193,193,192,192,193,192,191,190,191,190,189,188,187,187,187,186,185,184,182,182,181,180,179,178,176,194,195,195,195,194,194,194,193,193,193,193,192,191,190,189,188,189,187,186,185,185,184,183,181,180,179,178,176,195,196,197,196,196,196,195,195,194,194,194,193,194,192,191,191,191,189,187,187,186,185,184,182,181,180,180,179,196,198,199,198,199,199,198,197,196,196,194,194,195,192,192,193,192,190,189,188,188,186,186,184,183,181,180,180,197,199,201,201,201,200,199,199,199,197,196,195,196,195,195,195,194,192,191,190,190,188,187,187,185,183,181,180,199,201,201,201,202,201,201,201,201,201,201,200,197,197,197,197,195,193,191,189,186,183,175,172,182,182,183,181,201,203,203,202,203,202,202,201,195,185,180,184,185,176,166,162,155,164,166,165,157,157,139,152,190,168,171,182,202,204,205,206,204,204,194,180,171,154,141,135,136,159,152,140,129,139,160,162,151,146,142,142,171,138,168,185,204,205,208,205,195,182,159,154,161,159,156,134,86,118,140,138,107,126,130,128,119,103,104,112,130,157,185,185,206,203,193,179,167,160,153,148,153,161,153,107,71,59,74,79,82,97,107,121,127,146,160,171,183,189,187,185,190,180,168,162,155,149,147,140,145,152,141,103,65,55,63,94,128,164,188,193,196,199,197,195,193,190,188,187,182,176,167,157,152,152,150,145,145,148,150,130,78,49,122,201,204,204,201,200,198,197,197,195,193,191,189,188,190,176,167,158,154,152,151,146,146,149,151,129,80,56,76,202,205,203,201,200,199,198,198,195,194,193,191,190,178,170,167,159,153,153,151,153,148,150,148,134,84,59,51,161,209,204,203,202,200,199,198,197,194,193,193,191,170,167,164,158,156,154,154,153,155,158,156,142,94,60,51,107,212,205,204,202,201,200,199,198,196,194,193,192,178,158,156,159,164,160,154,147,143,144,145,126,89,62,55,63,203,208,204,203,202,201,200,199,197,195,194,193,172,152,153,162,166,166,152,147,140,137,129,107,87,67,53,96,208,208,205,204,204,203,202,200,199,196,195,195,147,140,155,160,159,155,147,137,129,136,124,94,87,77,53,180,212,207,205,205,206,205,203,201,199,199,196,194,105,121,138,152,147,137,127,117,108,106,91,83,82,84,55,188,211,208,206,206,205,204,202,201,199,197,196,194,47,72,98,127,124,111,101,93,86,68,52,68,89,85,49,173,212,208,207,205,204,203,202,201,198,196,195,193,40,22,28,57,79,82,72,68,66,56,54,78,86,76,69,192,211,208,208,206,205,203,202,201,199,197,195,194,43,30,8,13,14,37,92,121,99,72,69,91,106,159,191,210,209,209,207,207,206,205,203,202,202,199,196,195,40,38,9,11,4,128,221,220,209,177,158,171,202,215,215,211,209,209,207,207,206,205,203,202,202,200,198,196,38,39,11,4,38,210,220,217,218,220,220,218,216,213,212,211,210,209,208,208,207,205,204,203,203,204,204,202,43,34,8,6,144,225,217,216,217,217,215,215,214,214,213,212,210,209,209,210,210,210,205,200,192,162,134,135,43,19,0,70,224,217,217,216,216,216,215,215,213,213,213,212,211,211,208,184,150,134,116,95,73,47,30,29
13,135,137,142,150,157,161,165,166,169,172,177,179,180,183,186,187,188,189,188,190,191,189,190,189,190,191,190,189,138,140,145,151,158,162,165,167,170,174,178,180,182,185,187,188,189,190,191,192,192,192,192,191,193,194,193,191,140,142,147,154,161,164,167,169,173,176,179,182,185,187,189,189,190,192,193,193,193,193,194,194,195,195,195,193,142,144,150,156,163,167,170,172,174,178,180,183,186,189,191,190,192,187,190,198,199,197,196,196,197,196,195,195,144,146,151,158,164,168,171,175,178,180,183,185,188,190,197,219,217,173,133,167,182,195,201,198,198,198,197,197,145,148,154,160,166,170,173,177,180,182,186,188,190,189,190,209,221,171,112,86,130,135,174,202,199,200,200,199,145,150,156,161,167,172,175,178,180,185,188,194,205,160,140,153,207,177,117,81,140,121,100,201,202,201,200,200,146,150,157,162,169,173,175,180,183,187,179,213,229,194,151,107,166,206,147,87,147,117,96,201,203,202,201,201,147,151,159,164,170,174,177,180,186,201,151,136,215,223,179,113,92,199,151,88,155,130,109,206,204,204,203,202,150,153,159,165,171,175,178,181,213,220,168,115,134,232,200,133,61,108,129,78,182,136,143,210,205,205,204,203,151,154,161,168,172,177,178,209,211,219,198,143,76,200,190,127,64,43,71,77,155,115,165,212,206,207,205,205,152,156,164,171,174,177,195,214,167,195,206,153,72,152,178,118,62,37,83,124,139,114,116,208,209,208,207,207,154,158,167,172,176,179,222,213,173,172,183,131,73,119,175,137,61,77,150,160,132,110,100,167,215,209,210,208,157,162,169,175,178,192,216,188,150,149,165,110,59,87,186,150,71,154,188,166,127,97,105,117,214,210,210,210,158,164,172,178,180,205,227,196,159,128,144,109,51,50,173,138,123,204,189,159,125,100,91,111,215,212,211,211,160,166,176,182,183,210,232,202,171,120,115,104,56,95,185,185,204,197,173,141,120,95,74,159,219,214,214,213,161,169,178,185,185,218,239,212,178,135,109,112,143,187,216,220,213,186,159,131,110,86,86,207,215,215,214,214,163,172,181,187,188,225,241,222,180,155,160,155,173,197,215,212,202,176,147,126,99,70,124,223,215,216,216,216,167,176,185,190,192,226,234,231,192,176,175,152,189,200,210,209,188,162,138,116,91,62,170,223,218,217,217,217,171,181,189,195,196,216,228,235,206,189,179,161,193,212,201,194,170,146,125,105,76,94,220,221,220,219,219,219,174,183,192,198,201,205,230,229,215,195,178,167,184,207,196,172,154,133,119,96,82,195,228,223,222,221,221,221,177,186,194,199,204,202,222,221,217,203,191,178,175,196,190,163,141,121,110,81,171,232,226,225,224,224,223,222,180,188,196,201,206,205,211,226,219,213,206,187,172,187,182,152,121,113,89,134,231,228,228,228,226,225,228,227,182,191,200,205,209,208,203,227,212,207,201,180,166,175,165,141,107,103,97,214,233,229,230,230,229,230,195,138,183,194,203,208,211,212,206,220,188,186,193,183,167,167,153,135,111,86,158,237,233,232,232,234,233,157,70,43,185,195,203,209,213,214,207,228,195,197,205,196,171,157,147,135,112,81,199,234,236,235,239,233,148,62,56,31,186,197,203,208,212,214,204,233,208,210,217,198,176,152,146,133,111,84,215,235,236,236,186,107,54,55,66,34,187,198,205,209,213,217,206,230,225,227,225,199,179,155,145,134,107,86,220,234,241,187,78,50,34,47,65,51
12,163,163,164,166,167,167,168,169,168,169,169,169,169,171,171,170,170,171,171,170,170,171,171,170,170,169,169,168,164,165,166,167,167,168,169,171,170,170,170,170,170,171,171,173,172,173,173,171,172,172,172,171,171,171,170,169,166,167,167,168,169,169,170,172,171,171,170,172,172,175,174,166,173,173,173,174,173,172,173,172,172,172,172,171,167,168,169,170,170,171,171,172,171,174,181,171,170,191,184,150,139,179,177,160,170,173,173,173,173,173,173,172,167,168,169,171,172,173,172,171,174,204,200,169,152,198,187,146,99,168,183,142,133,177,174,175,175,174,174,174,168,169,171,172,172,173,173,170,178,210,202,166,148,200,186,153,98,171,170,139,100,163,180,174,175,175,175,174,168,170,172,173,173,174,173,171,184,205,199,169,144,203,182,159,122,181,162,124,91,142,185,175,176,176,176,177,170,172,173,173,174,172,181,199,170,169,192,193,133,189,197,152,134,183,169,123,84,132,185,176,177,177,177,177,171,172,174,174,175,172,203,202,166,133,163,169,117,170,190,120,135,193,150,110,81,127,184,177,178,178,178,177,172,174,174,176,173,184,210,202,183,131,140,137,87,108,125,98,141,161,108,89,83,122,187,178,180,179,178,178,173,175,175,176,173,195,207,204,185,151,119,127,90,77,79,157,180,164,128,124,114,128,189,179,180,180,179,178,174,175,177,177,174,200,188,196,190,163,128,90,111,95,154,207,202,186,159,155,137,134,189,180,181,180,180,179,174,176,177,177,177,207,203,179,183,166,133,97,94,138,210,206,199,185,163,146,125,117,186,182,182,181,180,181,176,177,179,176,187,210,205,173,171,168,142,115,85,191,210,205,199,185,165,139,114,117,188,183,183,182,182,182,176,178,180,176,188,210,206,193,162,156,171,146,116,210,208,207,199,184,155,135,110,117,190,183,184,184,183,183,177,179,180,179,182,210,208,193,169,148,152,162,181,210,207,206,199,179,154,133,113,106,186,186,185,185,184,183,178,179,180,179,185,210,209,198,186,180,157,188,203,210,203,203,199,174,158,129,108,105,186,188,185,185,185,184,179,179,181,179,188,210,209,205,196,193,178,187,195,210,200,198,192,177,153,125,99,122,194,185,187,186,186,186,179,180,182,181,186,210,209,208,201,193,183,186,186,206,197,189,183,177,142,117,91,161,194,186,188,187,187,186,180,181,182,184,183,207,210,208,203,189,178,186,186,199,192,181,181,167,131,100,109,192,188,188,188,188,188,187,180,181,182,185,182,199,210,206,200,184,173,180,184,193,190,180,171,149,118,86,160,196,188,189,188,188,188,188,183,185,187,190,186,199,210,195,189,182,177,184,188,200,191,176,161,136,93,117,195,189,191,189,189,189,190,189,175,165,157,150,137,133,132,116,111,111,107,110,103,104,100,96,96,93,76,162,205,192,192,191,191,190,191,190,130,121,117,114,101,91,89,85,78,71,66,64,53,51,52,49,47,48,52,69,113,182,193,190,190,190,189,189,127,116,119,113,104,97,94,88,81,75,72,67,59,57,56,54,51,49,47,44,32,168,196,189,190,189,189,188,146,114,119,113,103,98,90,86,80,73,70,64,57,56,57,54,49,47,49,35,102,202,188,191,190,189,190,189,161,115,118,110,103,97,88,84,78,72,69,63,57,57,56,54,49,44,46,35,164,201,190,192,191,191,192,191,169,117,115,110,105,97,91,84,78,71,66,64,58,57,56,53,49,45,45,48,183,196,194,194,192,192,192,192
10,136,137,137,137,138,139,139,140,139,138,139,139,139,137,136,135,133,133,130,131,130,127,126,126,125,123,121,121,141,142,142,143,143,143,142,144,143,142,142,142,141,141,139,137,136,135,137,127,126,130,128,127,125,125,123,122,147,147,147,149,149,149,149,149,148,148,147,146,145,144,143,140,140,134,161,126,88,136,130,128,127,127,126,125,151,152,151,153,154,153,153,152,153,152,151,151,150,148,146,145,144,139,167,134,74,133,133,131,130,128,127,126,157,157,157,157,158,158,157,156,157,157,156,155,155,153,150,149,149,144,169,133,73,132,139,134,133,131,129,128,162,161,162,161,163,163,161,161,162,162,161,160,158,157,155,154,153,150,170,123,68,134,144,138,136,135,133,131,166,167,165,166,168,167,166,166,167,167,166,164,163,161,160,158,157,154,176,138,73,136,149,142,140,139,136,133,170,171,171,171,171,172,171,171,172,172,171,169,167,165,164,163,160,161,183,132,107,140,151,146,144,142,139,136,173,173,174,175,175,176,175,174,175,176,174,173,172,170,168,167,163,176,178,155,134,101,160,149,147,145,143,140,176,177,177,179,179,178,178,178,178,179,178,177,176,174,172,171,164,151,156,175,124,68,162,153,150,148,146,144,179,180,180,182,181,180,181,181,181,181,180,180,178,178,177,176,174,149,125,138,139,57,114,169,153,153,149,147,183,183,182,183,183,184,184,183,184,185,183,183,181,181,176,171,189,186,148,105,95,88,53,146,163,156,152,152,185,185,186,187,188,188,187,187,188,188,188,188,189,185,155,121,114,157,166,160,112,77,58,94,173,156,156,156,188,188,189,190,189,189,190,190,189,190,190,170,143,173,175,141,78,36,151,170,95,54,46,95,175,160,160,158,191,191,192,192,193,192,191,192,192,190,189,170,129,114,190,169,118,25,35,81,88,66,41,108,179,163,163,161,193,194,194,194,195,194,194,194,195,192,187,187,173,121,148,191,134,72,23,34,146,110,45,116,181,167,165,162,194,195,195,195,196,195,195,196,195,193,160,151,180,145,97,170,145,88,37,64,147,142,56,114,185,169,168,165,196,197,197,197,198,197,198,199,196,194,173,111,133,138,50,111,155,81,44,77,135,142,55,106,185,170,169,167,198,199,199,200,200,200,200,200,199,187,161,116,93,118,63,72,158,127,67,87,133,103,45,120,186,171,171,168,201,201,201,201,201,202,202,202,198,190,185,160,99,106,105,71,140,167,97,75,116,71,46,157,183,174,173,170,201,202,201,202,203,203,202,203,200,193,201,170,127,105,102,88,148,149,81,63,100,60,66,185,178,176,175,173,203,203,202,203,203,203,203,204,204,190,201,187,150,118,111,134,196,176,116,90,92,51,103,196,179,178,177,174,204,205,204,205,206,206,207,207,208,191,187,187,162,133,124,145,193,189,158,116,88,44,139,195,181,180,177,175,205,205,206,206,206,208,209,208,210,195,177,184,169,157,138,144,187,180,140,101,76,52,175,190,183,181,179,176,204,204,204,205,206,207,208,207,209,206,176,175,178,174,145,133,174,157,124,91,51,84,198,186,186,182,180,178,203,205,205,205,206,208,208,208,208,211,186,160,173,164,144,119,145,136,104,78,33,139,198,184,184,181,179,177,205,206,207,208,207,209,210,210,209,210,205,171,167,156,139,118,124,136,103,58,66,190,188,185,183,181,179,181,206,207,208,208,208,209,210,210,211,210,206,187,168,149,140,129,118,132,98,43,133,203,187,187,185,181,183,142
3,174,176,176,176,177,177,178,178,178,178,178,178,177,176,174,172,170,162,171,167,167,166,163,162,159,157,155,154,178,180,180,181,180,180,181,182,181,181,183,182,180,179,177,177,183,115,148,177,170,168,167,167,163,161,159,157,182,184,184,185,185,185,186,186,185,185,187,187,186,184,182,182,174,94,115,188,172,173,172,171,168,166,163,160,186,188,189,188,189,190,190,191,192,190,189,189,189,189,186,186,172,92,94,188,178,177,175,174,172,169,167,164,191,192,192,193,195,195,195,196,195,194,194,193,192,192,190,190,172,88,86,192,181,181,180,178,175,173,171,167,195,195,196,196,197,199,198,198,198,197,197,197,197,196,194,193,171,95,82,190,184,183,182,181,179,177,173,171,198,199,200,200,200,201,201,202,201,201,202,200,201,199,196,198,182,104,75,190,190,186,184,183,182,180,177,174,201,202,204,204,204,205,205,204,204,204,204,204,204,202,200,199,177,88,75,196,192,190,188,186,186,183,181,178,204,205,207,206,206,207,206,206,206,205,206,207,206,206,205,198,165,106,84,184,197,192,191,189,188,186,184,180,205,206,206,209,209,210,209,209,209,209,210,210,209,209,207,201,180,138,79,166,205,195,194,193,191,189,186,182,206,208,209,210,210,212,212,212,212,212,213,212,211,210,210,202,185,135,65,153,210,195,196,195,193,191,188,185,210,210,211,211,211,212,214,213,213,213,213,214,212,213,211,207,196,137,69,121,217,195,198,197,195,193,190,187,212,212,213,213,212,213,214,216,215,214,215,216,217,209,190,176,168,165,111,143,190,211,199,198,196,194,192,188,213,213,213,214,215,216,217,217,217,217,219,218,209,199,189,133,84,145,159,192,110,174,211,200,199,197,194,190,214,214,215,217,217,218,218,217,219,221,212,192,136,151,191,132,80,95,162,161,80,50,142,211,199,199,196,193,216,216,218,218,219,220,220,219,221,212,200,182,126,93,150,163,107,75,132,142,89,56,60,196,206,199,197,196,217,217,218,219,220,221,220,222,219,203,186,158,152,129,108,172,122,66,71,102,105,65,53,182,210,201,200,197,218,218,218,220,221,221,221,222,215,193,155,109,134,136,88,131,136,71,59,82,125,80,44,171,214,202,200,199,217,218,219,219,222,223,224,225,219,192,172,107,69,112,48,84,130,57,62,79,132,119,46,144,218,202,203,200,217,218,218,220,222,223,224,224,226,196,161,131,95,73,49,79,88,39,72,125,149,136,54,147,220,204,204,201,217,219,219,220,221,222,223,223,229,196,174,168,127,82,82,106,94,81,158,168,149,97,75,204,209,205,202,198,218,220,220,221,223,224,224,224,228,205,166,167,139,105,95,122,173,181,191,151,117,57,140,222,200,202,205,208,217,217,218,220,222,223,223,223,228,215,163,164,144,112,98,107,181,179,160,126,82,57,192,217,215,215,191,150,225,225,225,226,227,228,229,229,229,232,173,141,135,113,104,101,158,161,137,100,49,120,227,193,166,126,72,47,176,181,186,190,196,201,206,209,211,218,200,135,133,124,120,97,126,139,113,63,72,156,106,68,44,35,35,42,98,100,101,102,103,107,107,108,108,106,121,160,133,130,113,86,86,86,59,45,73,59,36,31,39,33,31,28,108,108,109,110,108,108,115,112,112,108,131,187,164,133,98,80,79,78,52,52,54,45,48,27,32,25,22,23,108,109,109,110,109,109,118,115,118,113,150,172,169,141,116,103,89,76,48,50,46,41,35,35,19,21,17,21
10,109,117,130,148,155,162,166,167,169,171,173,174,174,175,176,176,174,174,174,172,173,172,168,167,166,165,163,160,110,117,131,149,157,163,166,169,171,173,175,176,176,176,177,178,177,177,175,176,162,161,172,169,168,166,165,162,110,119,132,150,158,164,168,170,172,175,177,178,178,179,179,179,179,179,177,183,149,121,175,171,170,168,166,164,112,120,134,151,160,165,170,172,173,176,178,179,179,181,182,181,181,181,179,185,153,113,171,174,171,171,168,166,114,121,135,152,161,166,171,173,174,177,180,181,181,183,183,184,183,183,181,186,150,109,168,178,174,173,171,168,114,122,137,154,162,169,174,175,176,179,181,182,184,184,185,185,186,185,184,187,150,109,169,180,176,175,173,171,116,123,138,155,163,170,174,176,177,181,183,184,185,185,186,188,187,186,185,191,156,111,168,183,177,177,175,172,117,123,139,155,164,170,174,176,178,183,185,185,186,187,188,189,189,187,187,192,152,107,168,184,179,178,176,173,117,124,140,156,165,171,175,177,179,183,186,186,188,189,189,190,192,191,192,176,123,103,170,186,180,180,177,175,118,125,141,156,165,171,176,178,180,184,187,188,189,190,190,190,188,179,194,161,98,109,178,186,183,180,179,176,119,126,142,157,165,172,176,179,181,185,188,189,190,191,194,195,184,155,147,138,101,97,184,185,184,182,179,177,119,127,143,157,166,173,178,179,182,187,189,190,191,191,179,185,194,179,140,100,103,92,170,189,184,183,180,179,120,128,144,158,167,174,178,180,183,187,190,191,195,188,151,128,127,153,113,91,105,89,138,197,183,184,182,180,120,128,145,158,167,174,178,181,184,187,191,189,182,194,168,135,72,78,78,114,117,86,130,197,184,184,183,181,121,128,145,158,168,175,179,182,184,187,193,181,144,154,184,148,91,74,78,134,153,96,123,197,185,186,184,181,121,129,147,158,168,174,180,183,186,188,194,188,171,136,169,156,112,74,83,135,170,111,113,196,188,186,184,183,121,129,147,159,169,175,180,183,186,190,193,172,178,150,143,154,116,72,95,154,168,120,99,188,190,186,185,183,122,129,147,159,169,175,180,183,186,189,197,171,147,140,109,146,127,90,123,167,153,117,96,186,191,188,186,184,122,129,147,160,169,175,181,183,186,190,194,175,143,130,113,138,161,119,139,171,131,101,106,195,191,189,186,184,122,130,148,160,169,175,181,183,186,190,192,193,169,131,126,127,158,119,140,160,124,88,119,200,189,189,187,185,121,130,149,159,169,176,182,184,187,190,190,194,180,152,131,120,158,160,157,144,122,82,134,203,190,189,188,186,119,130,148,158,168,176,181,182,186,190,191,186,179,162,145,133,170,187,159,134,117,80,150,201,190,188,186,185,119,128,147,157,167,175,180,181,185,189,192,179,172,164,155,142,165,178,151,125,108,78,167,197,189,187,185,184,118,127,146,156,166,174,179,181,185,189,192,190,172,168,160,142,155,167,141,117,93,87,189,191,189,188,185,184,115,124,144,153,164,172,177,180,184,187,190,193,180,165,154,138,138,149,129,109,79,126,201,189,189,187,186,184,125,135,152,160,169,176,181,184,187,190,193,195,195,171,148,136,131,140,132,108,80,165,195,187,187,184,182,180,148,151,154,154,149,148,148,147,147,146,146,142,153,179,153,151,143,140,136,104,86,122,126,123,122,121,121,114,120,119,119,119,119,119,120,120,121,120,120,118,127,183,168,162,146,140,124,100,86,109,110,109,108,102,76,60
20,129,131,132,135,137,139,141,142,144,147,146,147,148,149,151,151,140,153,157,156,155,157,157,157,157,158,159,158,129,132,134,136,138,140,143,144,145,148,148,149,150,149,154,161,113,132,141,150,159,158,158,158,158,159,159,159,130,133,137,139,140,142,143,145,146,148,150,152,152,150,158,166,118,144,124,118,164,158,160,159,159,159,159,159,131,133,137,139,140,143,145,146,147,149,151,151,152,152,161,161,122,162,138,108,162,159,160,161,161,160,160,161,133,134,137,140,141,143,146,147,149,151,151,152,154,152,167,171,132,161,140,108,160,160,161,161,162,161,161,161,132,136,139,140,142,144,146,147,149,151,152,153,155,152,176,170,137,171,146,111,160,163,162,162,161,162,162,162,133,137,139,141,143,145,147,150,150,152,153,154,158,153,175,155,139,173,145,108,159,165,163,163,163,163,163,164,134,137,140,142,143,145,148,150,153,152,158,135,133,161,173,141,138,171,138,106,161,167,165,165,165,165,165,165,134,138,140,142,144,147,149,151,152,157,159,139,98,133,175,137,143,173,132,106,163,166,165,165,166,165,165,166,135,138,141,142,145,148,148,149,150,149,161,141,125,109,126,125,136,162,129,112,166,165,166,166,166,166,166,166,136,139,141,143,146,149,146,168,164,117,142,159,156,141,104,93,111,144,124,114,169,165,167,167,167,167,167,166,136,139,142,144,146,148,152,168,163,135,130,152,164,151,120,83,99,126,113,114,171,166,167,168,168,167,168,167,137,140,144,145,147,149,155,160,141,152,111,83,138,167,143,103,97,110,100,114,174,167,169,169,169,169,169,169,137,140,143,145,147,149,156,164,117,114,102,76,103,174,163,126,89,101,96,111,174,168,170,169,170,169,169,169,137,140,144,146,147,149,155,163,144,132,113,97,105,158,180,146,102,92,91,110,174,169,170,170,171,170,169,169,138,141,145,145,149,149,159,179,152,128,113,108,120,144,189,157,123,93,83,105,175,169,171,171,171,171,170,170,139,142,144,146,150,149,165,174,139,122,117,123,129,165,184,157,133,97,78,106,176,169,171,171,171,171,171,170,139,142,145,147,150,148,167,174,146,130,131,126,146,196,175,148,133,99,75,110,177,170,171,172,172,172,171,171,139,143,147,148,150,148,169,178,150,136,134,134,168,198,175,146,129,105,76,121,178,170,173,173,173,173,171,172,139,144,146,148,151,148,167,182,158,138,134,150,177,185,170,150,129,105,75,131,178,170,173,173,173,172,171,171,140,143,145,147,151,149,167,185,157,149,141,152,184,176,163,148,123,106,76,147,177,170,173,173,172,172,172,172,140,143,146,148,150,151,166,185,162,161,151,151,185,174,160,149,121,100,79,157,176,172,173,173,173,173,172,172,140,144,147,149,150,152,159,182,171,169,165,150,175,167,156,147,123,96,80,157,177,172,173,173,173,173,173,172,141,144,147,148,151,155,154,173,176,172,167,156,161,165,151,147,121,97,83,161,176,173,173,173,173,173,173,173,141,144,147,148,151,155,153,166,178,169,157,152,157,159,146,154,127,95,93,170,174,174,174,174,173,173,173,173,141,145,147,148,151,155,153,166,175,158,151,142,152,158,144,155,127,91,109,178,172,174,174,175,174,174,174,173,141,144,145,148,150,155,155,168,172,154,151,143,150,162,141,152,121,85,134,180,171,174,175,175,174,174,174,174,140,144,146,149,150,155,154,170,181,166,158,149,153,164,133,144,113,86,158,176,173,175,175,175,175,174,174,174
12,29,36,50,69,76,85,91,99,101,104,108,111,115,118,122,124,126,128,129,131,133,134,135,136,136,136,136,136,30,37,50,71,79,88,94,100,101,105,108,112,116,119,122,124,129,128,131,133,134,135,136,136,137,138,137,138,31,37,52,70,81,90,96,99,103,108,109,111,119,125,122,129,119,131,134,136,136,136,137,140,140,141,140,139,33,39,57,73,82,90,96,101,105,110,115,130,86,87,135,144,76,64,137,131,136,143,139,143,142,143,142,142,33,42,58,77,84,93,98,103,111,103,153,152,97,53,111,148,93,37,70,89,62,123,149,142,144,144,144,143,35,43,59,77,85,93,99,104,112,105,178,162,118,74,84,149,108,73,30,84,48,53,146,145,145,146,147,147,37,46,64,79,86,94,100,106,110,115,181,186,138,82,78,154,114,81,25,70,75,27,110,155,144,147,149,149,38,47,67,80,88,96,104,109,104,138,149,173,156,87,66,160,114,74,20,65,72,28,122,154,149,149,151,151,40,48,66,80,91,99,101,100,112,147,143,129,136,76,42,132,111,61,17,69,63,35,139,154,151,151,152,152,39,49,68,80,90,96,112,167,180,103,52,61,107,55,22,85,70,39,23,66,51,47,153,152,154,152,153,153,40,52,73,81,92,90,158,209,148,80,51,20,85,55,15,62,55,33,20,52,39,56,158,152,155,154,155,154,42,54,72,83,91,101,174,138,122,87,67,20,64,98,26,56,93,50,32,85,58,67,165,153,156,156,157,157,42,55,74,85,88,118,169,99,104,104,72,37,5,52,4,23,86,47,33,108,83,27,96,166,155,158,157,158,42,56,76,85,86,130,160,105,76,103,69,56,0,0,2,36,46,38,71,80,50,23,37,155,159,158,158,159,43,58,77,85,85,135,182,125,85,69,58,40,0,0,56,106,114,102,101,79,57,50,51,157,161,159,159,159,44,63,79,88,84,144,180,125,102,60,35,27,8,39,106,138,139,126,105,73,63,43,86,169,159,160,160,160,45,64,81,89,86,145,174,137,112,71,49,75,67,109,148,152,146,119,89,70,49,32,129,166,160,161,162,162,47,64,80,89,90,139,164,131,108,75,74,88,79,149,151,150,145,108,78,66,40,58,163,160,162,163,163,163,48,66,79,91,94,123,161,127,103,81,78,67,87,141,138,147,131,94,69,59,34,110,170,160,164,163,163,164,49,68,79,89,98,113,158,121,105,93,83,81,109,132,138,137,111,82,62,47,44,152,164,163,164,165,166,167,51,71,83,91,101,105,147,128,118,116,97,88,117,128,131,112,88,68,55,36,82,169,161,164,166,166,168,167,53,71,82,93,103,102,135,141,120,112,95,80,92,112,112,89,64,55,49,42,140,167,162,164,167,168,168,168,55,73,82,92,102,106,125,152,113,103,87,70,66,82,81,69,51,53,37,93,170,162,165,167,167,168,168,168,56,74,82,93,102,109,117,161,129,99,75,63,69,71,70,63,49,45,49,153,163,163,166,168,168,169,169,169,55,74,83,93,102,108,114,159,147,104,77,76,87,71,70,68,50,27,91,171,161,165,168,168,169,170,169,169,58,74,83,92,104,106,129,174,161,116,101,95,94,71,59,55,44,13,104,173,161,166,168,168,169,170,170,170,58,76,84,95,98,131,162,153,186,125,111,95,86,68,53,42,38,10,107,173,161,166,168,168,169,171,171,171,60,76,85,96,99,172,180,118,165,133,116,92,80,64,41,39,36,12,121,172,163,167,169,170,170,171,171,171
17,124,129,131,138,144,148,151,155,159,161,163,166,167,168,168,167,167,168,165,159,167,164,165,164,164,162,160,159,127,130,133,140,146,150,154,158,160,163,165,167,168,169,170,171,167,175,176,108,151,170,165,165,165,163,161,160,128,132,134,140,146,152,157,159,162,165,167,169,170,171,173,170,182,173,117,77,135,177,167,167,166,165,164,163,130,134,137,142,148,156,158,160,164,166,169,173,173,174,176,170,192,186,128,52,131,180,169,169,167,167,166,165,131,135,138,144,150,157,159,163,166,169,171,173,175,175,176,172,186,191,159,68,139,180,170,171,170,169,167,166,133,137,139,145,152,157,161,165,167,171,173,174,176,177,177,175,181,206,179,99,152,180,173,173,172,171,170,167,135,137,142,147,153,159,163,166,170,173,174,176,179,179,180,178,185,215,187,119,148,183,175,174,173,173,171,169,136,139,143,149,155,161,164,167,171,173,175,179,179,180,180,178,187,218,190,124,125,187,176,177,174,174,173,172,137,141,144,151,157,162,165,169,173,176,179,180,182,186,183,179,202,223,203,142,101,185,179,180,178,176,174,173,138,142,145,153,158,163,167,172,174,177,180,181,160,164,188,185,215,218,199,149,95,180,182,181,179,179,176,174,141,143,147,154,159,165,170,173,176,179,185,185,147,86,176,202,175,183,191,143,90,175,184,181,180,180,179,177,141,144,149,155,162,166,171,174,175,172,187,176,148,65,104,149,128,175,187,145,83,173,187,182,182,181,180,179,142,145,150,156,162,167,170,177,186,187,190,151,142,127,85,73,133,189,169,149,89,171,190,184,183,182,181,181,144,146,151,159,164,170,170,189,205,192,212,189,184,162,101,61,131,173,158,144,93,159,193,185,183,184,183,182,145,148,152,161,166,172,173,190,204,142,178,202,185,158,137,87,78,123,136,128,85,140,198,186,187,186,184,183,146,149,153,161,167,173,176,182,195,156,88,111,148,167,165,130,74,62,92,102,80,129,200,186,188,188,186,185,147,149,156,162,168,174,179,180,197,176,116,47,85,138,183,156,118,77,61,84,71,138,202,188,190,189,187,186,148,150,155,164,169,176,179,184,211,189,204,91,80,153,197,164,139,110,63,61,54,146,201,189,191,191,189,186,150,151,157,164,170,177,182,181,222,209,158,110,114,228,201,170,145,119,59,43,43,162,201,192,192,191,190,188,150,152,158,166,173,178,184,181,224,203,145,152,192,219,197,152,144,105,56,41,55,193,197,195,193,193,191,190,151,153,158,166,173,179,184,183,223,196,178,173,230,189,186,160,122,101,58,32,119,210,194,195,194,194,193,191,151,153,160,168,174,180,185,187,218,212,179,183,227,191,184,182,129,83,54,41,180,205,196,197,196,194,194,192,152,154,160,169,175,181,187,187,213,221,181,190,217,187,167,162,117,69,46,61,202,199,199,199,197,195,195,194,152,155,161,169,176,182,187,187,206,220,185,174,194,157,141,124,80,60,37,101,215,198,201,199,197,196,195,195,152,156,163,169,177,182,188,190,200,213,170,144,161,144,126,98,68,64,40,169,213,201,202,200,199,197,196,195,151,154,162,169,174,181,188,188,200,205,140,130,151,161,136,101,78,50,85,212,202,203,202,201,200,198,197,196,150,153,161,169,173,189,119,23,162,201,176,176,160,165,149,101,76,43,154,212,202,203,201,200,198,197,196,195,151,153,161,168,180,162,70,16,108,201,182,167,160,158,146,105,63,58,190,206,203,203,202,201,199,197,196,195
10,189,190,190,192,191,193,195,194,194,195,195,194,193,193,191,190,189,188,186,186,181,194,183,139,178,175,173,172,193,194,195,197,197,197,199,200,199,199,198,198,198,197,196,196,194,192,191,191,183,207,196,114,171,179,175,174,199,200,201,202,203,203,204,204,205,205,203,202,203,203,201,201,199,197,196,196,189,211,198,116,164,187,178,178,204,206,206,207,208,209,208,209,210,208,209,208,208,207,206,205,203,202,200,200,193,215,186,109,163,193,183,181,209,211,211,212,213,213,213,213,215,214,214,215,214,212,211,210,208,207,205,204,199,218,191,113,163,197,187,187,213,214,216,217,218,218,218,218,220,220,218,220,220,219,217,215,213,210,209,209,203,228,197,119,169,202,191,190,217,219,219,220,220,222,223,223,223,222,222,223,224,222,221,220,217,216,213,211,211,235,188,169,173,203,196,193,221,223,223,224,224,225,227,227,226,226,226,227,227,226,224,224,222,221,219,218,219,229,208,195,118,206,200,197,223,226,227,228,228,229,230,229,228,229,229,229,230,229,229,228,227,225,221,217,189,179,216,195,95,186,211,200,228,228,230,231,232,231,232,233,232,232,231,232,233,233,233,231,228,230,230,233,219,181,159,176,121,109,216,205,231,231,233,234,236,235,236,237,237,236,237,237,237,237,236,236,233,220,200,217,237,205,167,129,134,91,154,220,235,236,237,238,238,238,239,238,239,239,239,239,239,239,236,232,240,209,166,130,155,220,218,176,108,103,111,221,238,238,239,240,240,240,242,241,241,241,242,242,240,241,216,169,190,236,201,144,49,151,214,139,93,84,122,224,240,240,241,243,242,242,244,244,244,244,244,244,242,239,227,195,149,220,231,175,86,56,90,144,124,83,133,231,242,242,243,244,244,245,245,245,245,245,246,246,244,229,229,230,183,170,240,186,127,68,69,185,177,92,140,234,244,243,245,246,247,247,246,247,248,248,248,246,243,211,178,219,199,124,192,202,132,77,101,180,198,106,134,235,245,246,247,248,250,249,250,250,250,250,251,247,243,226,155,151,181,92,128,207,132,86,114,176,186,102,128,236,246,247,249,250,251,251,251,252,252,251,252,251,234,212,179,135,156,122,105,197,190,122,119,178,141,84,152,240,247,250,251,250,252,252,252,253,253,253,253,249,240,247,218,154,144,152,112,171,215,149,106,155,116,78,199,237,250,251,251,252,253,253,254,254,254,255,255,254,240,252,228,187,155,145,140,204,200,125,101,137,106,97,234,231,251,252,254,254,254,255,255,255,255,255,255,255,241,246,240,204,168,159,178,247,235,184,142,134,94,134,246,230,252,253,255,255,255,255,255,255,255,255,255,255,245,230,233,214,185,173,182,239,236,206,162,131,82,174,247,231,249,251,253,254,254,254,254,255,255,255,255,255,251,225,231,221,210,189,183,232,226,188,144,116,87,218,242,235,250,251,253,254,254,255,255,255,255,255,255,255,255,228,216,227,221,194,170,213,200,167,132,89,119,246,233,234,252,252,253,255,255,255,255,255,255,255,255,255,255,247,207,216,210,190,162,181,181,148,116,71,182,250,233,233,253,254,255,255,255,255,255,255,255,255,255,255,255,255,227,214,201,183,162,162,181,148,96,106,243,240,237,234,251,255,255,255,255,255,255,255,255,255,255,255,255,255,237,216,198,191,179,161,174,142,80,175,254,236,239,242,164,166,172,177,181,187,194,199,203,208,212,218,226,224,230,222,201,208,187,167,167,128,81,204,245,235,229,183
1,155,157,159,160,160,162,163,162,162,163,163,164,166,165,165,165,166,166,164,165,165,165,165,164,163,164,163,162,158,161,163,163,165,165,165,166,166,168,168,167,168,169,168,169,168,169,170,167,167,167,168,167,166,165,164,164,163,165,165,167,168,169,169,170,170,171,172,173,172,171,173,171,174,163,162,173,170,171,170,169,168,167,167,166,167,170,169,172,171,172,172,174,175,176,176,175,177,177,143,166,191,158,111,181,174,173,173,173,171,171,170,170,170,173,174,177,176,176,176,177,176,179,181,178,187,189,106,159,196,144,105,180,171,180,177,176,174,173,173,172,173,176,177,179,180,180,180,182,181,181,178,170,198,176,106,171,192,123,125,179,120,164,184,178,177,177,177,176,177,178,178,180,184,184,183,185,184,189,172,129,179,157,110,187,187,110,143,189,106,145,192,181,180,179,179,178,179,181,181,185,187,186,187,187,185,198,170,113,159,153,119,197,190,118,163,191,106,146,196,183,184,182,182,181,182,184,186,188,190,190,188,191,188,200,151,115,157,145,128,189,175,116,180,186,101,152,196,187,188,186,186,185,185,186,189,190,192,193,192,193,191,206,147,124,144,129,112,183,153,113,195,187,106,164,198,192,191,190,189,188,187,188,192,192,194,193,195,196,194,206,138,119,144,138,103,198,148,128,203,173,109,176,198,194,193,193,192,191,189,192,193,194,195,195,196,197,199,210,148,107,145,140,107,202,143,142,204,161,107,188,200,195,195,194,193,192,191,194,196,197,198,199,199,197,201,211,153,93,127,111,96,177,116,168,208,162,115,201,201,199,197,196,195,194,193,195,198,200,200,201,201,199,205,211,156,118,156,171,152,177,157,144,191,151,128,210,200,201,200,200,199,196,196,198,198,200,201,202,202,201,212,208,166,138,120,173,200,193,192,133,134,135,141,214,202,204,202,201,199,199,197,200,200,201,203,204,205,204,220,195,152,124,97,105,137,160,206,185,113,82,163,216,203,205,204,203,202,200,200,201,203,204,205,207,207,207,226,198,151,114,105,109,113,153,219,215,153,75,183,214,206,207,206,206,205,203,200,202,205,207,207,208,205,212,226,193,146,119,118,124,165,188,186,207,171,100,191,214,208,207,206,206,206,206,202,204,205,208,209,210,206,215,223,189,151,118,130,134,195,211,189,167,149,99,156,221,208,210,209,208,207,207,203,204,207,209,209,212,208,217,223,192,155,133,133,160,218,209,180,156,118,84,163,224,210,211,211,212,209,207,205,206,208,209,209,211,211,218,221,192,156,145,131,178,226,211,168,140,106,81,192,221,213,213,213,212,210,208,206,208,208,211,211,211,212,216,218,192,166,154,133,175,227,201,156,127,93,103,214,216,214,214,213,213,213,211,207,209,209,211,212,213,213,214,213,193,172,165,129,178,218,181,144,115,82,162,226,215,215,215,216,217,214,214,207,210,213,212,213,215,215,216,217,198,174,164,128,187,202,171,138,99,95,210,220,218,216,217,217,217,214,214,208,211,214,214,214,215,214,216,222,198,179,153,130,181,171,154,126,83,136,230,218,220,219,219,219,218,216,215,208,210,212,215,214,217,209,216,222,216,189,150,142,170,151,142,115,83,189,227,219,222,222,220,220,219,216,216,208,208,210,213,214,213,208,219,218,215,190,156,155,159,146,133,92,131,225,221,222,222,222,221,221,220,218,217,209,210,212,212,213,208,210,209,195,197,181,154,151,139,134,103,97,204,226,222,222,222,221,221,220,220,218,217
14,212,213,213,213,213,214,214,214,214,213,213,214,214,214,213,212,211,210,209,208,207,206,206,204,204,202,201,199,215,216,216,217,216,216,216,217,216,216,216,217,217,216,216,214,214,212,211,211,209,209,209,207,206,205,203,202,217,217,218,219,218,218,219,219,218,218,218,218,218,217,219,220,217,216,216,216,214,212,210,211,209,208,206,205,219,221,220,220,222,222,222,221,222,220,221,222,221,220,211,202,211,215,211,209,209,214,218,210,212,210,210,208,222,223,222,223,224,224,223,223,223,222,224,224,223,216,201,182,189,193,187,192,187,158,191,224,213,212,211,209,224,224,225,225,225,226,225,226,226,224,223,205,200,211,216,213,207,192,153,163,182,155,127,175,221,217,212,211,226,227,227,227,228,228,226,227,228,226,224,223,219,224,224,216,208,197,179,149,159,171,145,139,176,206,216,212,228,228,228,228,229,229,228,228,228,226,226,214,196,188,177,163,141,143,177,182,182,188,144,150,171,145,212,219,229,229,230,231,230,230,231,229,230,230,225,195,191,194,168,140,124,124,121,148,165,149,119,106,135,108,134,218,231,231,231,231,231,232,231,232,229,214,215,225,223,207,186,169,169,195,143,188,206,179,203,161,109,104,99,146,234,234,233,233,233,233,234,234,228,216,221,215,203,175,156,149,148,139,149,229,234,233,229,240,193,99,116,120,235,235,234,235,235,234,235,236,224,217,211,182,151,105,88,91,89,123,223,231,228,228,228,225,140,126,141,136,235,236,235,236,236,236,235,234,224,215,168,122,93,85,90,94,79,178,245,228,232,228,239,174,125,157,150,124,236,237,238,237,239,238,238,233,227,209,153,105,94,97,100,106,92,196,241,232,232,235,218,135,147,154,142,114,239,239,239,239,240,239,240,233,225,204,155,101,99,99,97,99,92,220,239,234,232,243,167,125,147,148,118,158,241,240,240,240,241,241,242,232,226,191,128,99,112,98,95,97,81,198,255,232,240,217,133,129,135,136,112,214,241,241,241,241,241,242,240,229,226,188,139,124,110,97,97,94,81,98,189,241,239,144,137,143,134,105,172,239,243,243,243,243,241,243,237,228,229,200,153,126,104,98,103,102,103,103,97,156,155,118,141,143,119,140,238,229,243,244,244,244,243,244,238,225,228,195,153,131,105,100,109,116,119,124,128,125,114,129,140,130,119,221,237,231,244,245,244,243,244,245,237,220,223,196,170,133,101,102,111,124,125,129,135,145,141,125,146,115,181,246,232,233,244,245,245,244,243,247,239,215,220,204,170,132,110,99,112,128,130,130,135,148,148,135,122,123,234,238,236,234,244,244,246,246,246,248,239,218,226,205,178,149,120,99,114,131,132,134,142,154,153,141,106,179,248,236,237,236,246,246,247,248,248,249,238,220,229,203,174,145,126,102,110,134,134,138,148,155,150,123,137,247,240,240,238,237,248,248,249,249,248,251,236,223,225,195,168,148,131,110,104,135,133,138,150,150,144,104,186,252,239,241,239,237,247,248,248,249,247,251,235,220,222,190,165,152,134,117,102,126,133,137,146,143,127,113,235,244,241,241,240,239,247,247,248,249,247,251,232,215,218,187,165,154,132,117,103,119,134,132,135,135,96,182,255,241,243,241,240,239,247,247,248,249,247,252,233,210,208,186,164,144,127,117,106,113,128,128,129,106,139,247,242,242,242,241,239,238,248,248,249,249,248,253,230,208,202,184,159,141,128,118,108,112,122,124,110,126,239,247,242,242,242,242,240,237
14,150,153,158,161,164,166,167,169,171,172,173,174,175,175,175,176,176,176,176,174,174,173,173,172,172,171,170,169,151,155,159,163,166,168,170,172,173,174,174,176,177,178,178,178,177,179,178,177,177,176,175,174,174,173,172,172,152,157,161,164,168,170,172,174,175,176,178,179,179,180,180,181,180,180,181,180,180,179,177,176,176,175,174,173,154,158,162,166,169,173,174,176,178,178,179,181,182,183,182,184,182,181,173,177,180,180,180,179,179,178,176,175,156,160,164,167,171,173,175,178,179,180,182,184,185,184,185,187,197,188,167,166,164,162,179,182,180,181,180,178,158,162,166,170,172,174,177,179,180,181,184,187,187,186,189,203,202,189,174,166,155,139,138,171,183,182,181,181,159,164,168,172,174,176,178,181,183,184,186,187,188,190,203,206,203,180,169,182,160,133,101,119,179,185,183,182,161,166,170,173,176,179,181,183,185,186,187,189,190,197,206,196,181,130,97,147,135,159,98,70,133,188,185,185,163,167,170,174,178,181,182,184,186,188,190,192,200,211,196,142,109,90,65,70,96,177,133,79,103,184,187,186,165,169,172,177,180,181,184,186,188,190,192,203,218,213,182,136,92,59,50,50,57,152,155,103,87,175,190,188,166,171,175,179,181,183,186,188,191,191,196,217,215,185,145,117,92,64,47,53,76,149,142,113,88,153,193,190,165,171,176,180,182,186,188,189,191,191,212,222,206,170,113,78,72,59,52,85,161,193,180,150,97,136,195,191,167,171,177,181,184,186,189,191,190,206,229,216,198,164,112,75,53,50,77,178,199,191,178,135,85,145,197,194,169,173,178,182,184,187,190,191,199,228,224,210,191,148,111,79,45,50,148,202,201,188,168,131,76,115,197,195,170,175,179,184,186,189,192,194,225,235,221,208,182,150,113,67,40,53,107,158,204,175,152,123,83,80,176,198,171,176,181,184,188,192,193,209,239,234,217,200,177,139,99,59,56,67,72,91,166,146,148,124,96,80,165,201,172,178,182,186,190,193,195,230,239,227,210,194,167,118,84,60,82,94,95,94,97,128,147,124,86,115,192,201,174,179,183,188,190,192,210,239,231,219,202,182,148,111,81,78,100,108,109,111,102,124,133,105,99,181,202,202,174,179,185,188,192,197,233,236,223,208,190,174,140,112,87,93,108,112,111,108,110,111,110,97,167,205,203,202,174,179,186,181,140,183,239,231,213,198,183,162,141,111,90,98,112,110,103,101,106,85,85,161,206,206,205,204,175,182,187,144,84,101,179,211,193,175,159,145,121,90,87,91,102,104,95,92,85,86,151,207,208,207,206,206,177,183,168,97,81,77,86,130,160,152,123,94,69,67,75,77,86,88,81,90,138,186,209,210,209,208,207,207,178,179,121,86,75,73,71,74,83,84,74,60,51,54,57,57,65,72,100,170,212,215,214,212,210,209,208,208,179,146,89,80,70,69,68,70,59,28,34,36,32,31,32,32,85,151,195,215,215,215,214,213,212,211,210,209,165,106,82,72,69,66,65,64,68,34,20,27,24,22,21,20,76,208,217,216,216,216,215,214,213,213,211,210,121,83,73,69,67,63,61,61,66,42,13,21,21,19,19,17,99,215,217,217,216,217,216,215,215,214,212,212,93,76,65,63,61,57,57,57,66,40,10,16,17,16,17,22,159,223,219,219,219,218,217,216,215,214,213,213,89,76,67,55,48,81,71,51,66,30,10,15,14,14,15,38,192,222,220,219,219,218,217,217,216,215,213,213
23,81,83,87,96,106,116,123,126,129,134,140,144,147,150,151,154,157,159,161,161,160,161,161,162,163,162,161,161,81,84,88,98,108,117,124,128,130,136,141,145,149,151,152,155,159,160,161,163,163,163,163,163,164,163,162,162,81,84,89,99,109,118,125,129,131,137,142,147,150,152,155,157,160,162,163,164,165,165,165,165,165,165,164,163,82,84,89,100,110,119,127,130,132,138,144,149,152,154,157,159,161,163,165,166,166,165,166,166,166,166,166,165,83,86,89,100,111,121,128,131,135,140,145,150,152,155,158,160,162,165,165,166,167,166,166,166,166,167,166,164,83,86,91,101,112,122,128,132,136,141,146,151,154,157,160,161,164,165,166,167,169,168,168,167,167,167,166,166,82,85,91,102,113,123,130,132,136,143,148,152,155,158,161,163,165,166,168,169,169,170,168,169,170,168,166,167,83,86,92,103,114,124,130,134,137,144,150,154,157,160,163,165,166,168,169,172,192,196,178,168,162,168,168,167,83,86,93,104,114,124,131,135,138,145,151,156,158,161,164,167,168,170,179,205,214,183,178,158,119,161,171,170,83,86,93,105,116,126,133,136,140,147,153,157,160,164,166,168,169,183,223,197,164,120,138,144,146,171,172,172,84,86,94,106,117,127,134,137,141,148,154,158,161,164,166,169,170,212,234,144,106,142,170,174,176,174,173,173,83,86,94,107,118,129,135,138,142,149,155,159,163,166,169,171,178,229,230,175,174,164,164,178,177,176,175,174,83,86,94,107,119,129,136,139,144,150,156,161,165,167,171,175,197,233,234,229,212,145,133,180,178,178,177,176,83,87,95,107,119,130,137,140,145,151,157,163,165,179,196,207,222,190,206,198,181,125,104,159,176,180,179,178,84,87,96,109,121,132,139,142,147,152,159,163,183,207,206,214,224,194,215,214,184,120,89,133,158,183,181,180,84,87,97,110,122,133,140,144,149,155,160,176,210,199,192,195,194,177,195,201,168,110,78,102,120,181,183,182,84,87,96,110,123,134,141,144,149,156,161,215,233,213,200,200,192,180,177,148,127,105,75,98,93,137,183,184,84,87,97,110,123,134,142,144,150,157,166,230,236,213,180,178,187,186,173,129,107,108,67,97,100,104,167,186,84,86,97,111,123,135,142,145,150,157,169,229,231,197,153,126,135,155,155,116,109,105,63,94,104,117,176,186,84,87,98,112,124,136,142,144,150,157,172,234,231,172,121,96,81,157,151,109,112,88,78,103,108,146,188,188,83,86,99,112,124,136,143,146,153,158,175,239,221,166,119,86,90,150,131,104,92,66,90,112,123,181,191,191,83,86,99,112,125,137,143,146,153,158,182,240,213,162,123,91,81,93,93,77,71,77,91,108,150,194,192,192,81,84,98,112,124,136,142,145,152,157,189,238,207,161,123,88,61,65,72,82,95,97,97,111,175,194,192,192,80,83,96,111,124,136,144,146,153,159,198,235,202,161,124,97,76,85,98,105,111,104,101,144,192,195,193,193,79,83,95,110,124,137,144,146,154,159,197,226,194,157,127,103,87,92,110,115,114,103,120,188,196,195,195,194,77,81,94,110,124,136,144,147,153,159,198,217,186,159,133,110,98,95,112,118,115,103,154,199,196,196,195,194,74,78,92,108,123,135,142,146,153,160,205,210,189,173,146,120,105,97,111,115,111,126,188,198,197,196,195,195,75,80,92,106,120,133,140,144,152,161,216,216,200,185,158,126,109,101,109,110,116,172,198,196,195,194,195,194
21,81,96,114,128,138,142,152,161,167,173,176,180,182,185,187,189,191,191,191,190,190,189,188,187,186,185,183,183,80,97,116,130,138,143,154,163,170,175,179,185,187,189,192,194,195,196,196,195,194,194,193,192,191,190,189,188,82,99,117,131,139,145,156,165,172,182,187,140,173,197,196,198,200,200,200,200,199,199,199,197,197,195,194,193,84,101,119,133,140,146,158,167,173,187,192,134,118,201,199,201,202,202,203,204,204,162,180,204,200,199,198,197,85,102,120,134,141,148,160,169,175,184,202,159,94,183,203,202,205,206,206,207,215,149,118,208,205,203,202,202,87,105,122,137,143,150,162,171,178,183,213,175,98,147,210,207,207,207,208,209,223,161,97,199,210,207,206,206,88,107,124,139,145,152,164,173,180,184,212,192,105,110,210,209,209,210,212,214,226,163,97,182,214,210,209,209,89,109,126,141,146,155,166,174,181,186,203,202,124,96,195,211,212,212,214,217,223,155,100,171,217,213,213,211,91,109,127,143,148,157,168,177,184,189,198,218,159,103,168,216,213,215,216,218,219,159,105,171,219,214,214,214,92,112,130,144,150,159,171,180,186,192,196,225,177,111,135,219,215,216,217,222,220,166,107,178,221,216,215,215,94,114,132,146,151,161,173,181,188,193,195,226,190,115,111,212,217,218,219,226,211,158,107,188,223,219,221,222,96,116,134,148,153,162,174,182,188,194,197,224,205,132,104,194,220,220,220,230,197,149,102,204,229,217,189,151,98,117,135,149,154,164,175,184,190,195,199,217,224,164,115,165,223,221,221,234,200,149,103,172,133,91,69,55,99,119,137,151,155,166,177,186,192,197,200,206,212,172,120,136,224,222,224,232,193,150,92,58,48,48,48,59,100,120,139,151,157,167,179,186,193,197,207,197,154,134,121,114,216,224,225,218,180,141,78,45,43,48,40,46,99,120,139,150,156,167,179,187,192,195,219,208,174,182,118,95,191,221,206,194,167,123,68,39,35,50,47,37,101,121,139,151,156,167,179,186,193,196,228,232,213,208,136,94,118,161,174,173,144,102,48,50,31,38,52,44,101,122,141,151,157,169,180,187,193,194,225,239,231,205,149,106,88,106,143,158,130,91,26,41,47,28,41,48,100,121,141,152,158,169,180,188,199,161,162,202,229,206,181,131,113,108,103,114,112,87,23,21,51,41,29,41,109,124,139,149,156,167,177,191,217,166,140,134,195,177,190,161,143,141,104,76,90,84,35,10,36,52,36,33,105,104,110,114,116,120,119,172,227,205,174,125,128,152,142,163,155,148,126,90,73,75,50,8,20,47,48,38,107,106,108,108,109,112,104,175,205,212,193,144,98,101,107,93,128,153,150,125,92,66,58,15,11,36,49,45,110,111,111,112,114,115,108,176,177,163,197,161,102,72,104,77,75,169,180,160,130,89,62,27,7,24,46,44,111,113,112,114,116,116,110,188,198,155,161,175,115,91,87,92,76,139,207,189,157,119,82,45,10,14,40,45,111,112,112,113,115,116,111,188,198,161,113,139,142,134,97,103,102,148,167,209,180,137,102,73,21,6,31,46,111,112,112,112,114,117,110,175,201,148,107,102,132,153,118,123,134,173,160,197,196,152,113,91,36,4,17,40,111,111,111,113,114,115,110,149,198,155,139,119,110,130,141,154,170,187,212,193,178,131,120,96,45,14,8,29,110,111,111,113,113,115,111,133,208,181,153,123,123,135,159,177,207,210,213,185,155,98,113,90,47,28,6,16
20,182,183,184,183,184,186,185,187,187,186,186,186,186,186,185,184,183,184,182,180,181,179,177,177,175,174,172,170,185,186,187,186,188,188,189,189,189,189,189,189,189,189,187,195,184,152,189,186,183,182,181,179,178,176,174,173,189,189,190,190,191,191,191,191,192,192,192,192,192,192,190,198,193,133,162,180,188,184,184,182,181,179,178,176,191,193,194,194,194,194,195,195,196,196,196,195,195,195,194,198,195,128,115,137,183,189,187,185,184,182,180,179,195,195,196,196,196,198,198,199,199,199,198,198,199,199,196,204,192,117,144,144,157,197,189,189,187,186,184,182,198,199,199,200,200,201,201,201,201,201,201,201,202,202,199,208,188,114,165,161,136,199,191,191,189,188,186,184,201,202,202,203,203,203,204,204,204,204,204,204,205,205,201,214,194,123,169,168,130,199,195,194,193,192,190,187,203,205,205,206,206,206,206,206,206,206,206,207,207,206,203,221,183,118,175,188,133,195,200,196,195,195,193,189,206,207,206,206,208,208,208,209,208,209,208,209,209,210,211,226,167,119,190,188,128,190,205,199,198,197,195,194,208,209,209,209,210,211,212,212,211,211,210,212,212,199,196,225,175,135,204,185,122,186,206,201,201,199,197,195,211,212,213,213,213,213,213,214,214,213,213,213,214,208,188,185,176,129,185,190,131,185,208,203,203,201,200,197,213,213,214,215,215,214,215,216,216,216,215,216,213,220,225,193,160,137,173,195,141,180,212,205,205,203,202,199,215,215,216,216,217,218,219,217,218,218,218,218,216,184,195,194,190,160,140,172,135,174,216,206,206,203,202,200,216,218,218,218,218,219,219,218,219,219,219,218,222,194,126,180,205,152,110,129,121,164,219,208,207,206,203,202,218,218,218,219,220,220,220,220,220,220,220,220,224,198,103,157,203,169,127,113,104,153,221,210,209,207,206,205,219,219,219,220,221,221,221,221,222,221,221,221,218,195,145,134,168,187,151,142,108,136,223,211,211,210,208,207,220,221,222,223,223,223,223,223,223,223,224,216,216,197,171,131,112,164,169,150,113,117,220,214,213,212,210,209,223,223,224,224,224,224,223,224,224,225,220,216,199,198,193,163,128,136,162,161,126,107,211,218,213,213,212,210,224,224,225,225,225,225,225,225,226,225,217,207,167,151,185,177,134,121,147,184,156,105,177,226,214,214,212,211,225,225,225,226,227,226,227,227,228,227,216,210,181,119,127,172,121,105,133,186,182,126,123,222,217,216,215,212,226,227,227,228,228,228,228,228,228,228,218,203,182,152,111,138,126,108,166,208,194,145,105,210,221,217,217,213,228,228,229,229,229,230,230,230,229,231,215,210,208,158,122,139,150,146,213,210,184,129,115,219,220,218,217,214,229,230,230,230,230,230,230,231,231,233,215,211,210,166,140,140,200,223,222,189,171,109,141,231,217,219,218,216,228,229,230,230,230,231,231,231,232,234,215,205,201,176,144,138,211,223,205,173,154,105,173,232,219,219,219,217,228,229,229,230,230,230,230,230,231,234,217,196,193,177,148,139,200,208,190,161,135,104,202,227,219,219,218,216,229,229,230,231,231,231,231,232,232,234,226,198,193,177,159,146,198,208,181,148,113,120,227,221,218,219,223,220,230,230,231,231,232,232,232,233,234,234,235,206,191,181,166,141,184,196,163,130,93,177,233,224,226,217,187,143,230,230,231,232,233,234,233,233,235,234,233,213,197,181,164,142,157,165,132,103,111,225,223,192,167,131,95,87
8,153,158,164,166,169,170,175,179,180,181,181,182,184,185,184,185,185,186,186,186,186,186,186,184,184,184,182,183,155,160,167,171,170,185,178,176,184,184,185,185,186,187,187,187,187,187,187,187,188,187,186,185,185,184,183,183,158,165,171,175,172,206,171,152,192,187,190,190,190,190,190,191,191,191,190,190,189,190,188,188,187,186,184,183,161,167,174,178,178,218,168,138,197,193,194,195,195,196,195,195,194,196,195,193,193,193,191,192,190,189,187,186,164,171,177,182,182,231,167,138,202,198,200,201,200,199,200,201,202,198,198,201,197,196,196,196,195,192,191,188,167,174,180,185,187,228,164,142,206,202,204,204,209,206,206,197,196,214,202,176,200,202,200,200,198,196,195,194,172,179,184,188,190,232,175,142,209,207,208,209,183,195,234,190,142,195,226,157,159,208,204,205,203,200,199,197,175,182,187,191,196,235,182,148,206,209,223,242,185,176,227,203,160,174,203,182,142,189,214,208,207,205,203,201,179,185,191,195,199,236,204,174,197,217,242,248,237,216,191,191,203,225,173,136,140,164,220,211,211,209,207,206,182,188,195,200,200,232,210,198,210,231,229,231,244,199,194,199,208,207,180,138,107,145,222,213,214,213,211,209,184,191,198,203,202,229,220,207,227,233,210,182,242,206,189,198,181,173,192,157,103,155,227,215,216,215,214,213,186,193,200,205,205,230,234,204,221,223,220,177,201,222,159,140,136,182,205,169,121,189,228,220,219,217,217,215,190,197,202,208,207,233,244,177,206,206,188,184,182,217,163,109,103,221,219,185,133,178,233,221,223,220,219,218,193,200,205,210,210,232,247,187,161,200,167,168,177,201,190,145,115,204,240,200,147,131,226,227,225,223,221,220,194,201,207,211,212,231,250,212,153,167,183,164,190,207,198,148,210,233,232,206,159,116,198,237,227,226,224,223,197,203,208,213,215,229,255,225,172,148,191,165,217,233,204,200,247,237,207,180,155,123,197,240,229,229,226,224,199,205,210,216,219,231,255,232,194,155,167,176,213,241,238,252,240,217,197,162,142,131,225,236,232,233,237,235,200,208,212,218,220,233,255,243,210,172,162,179,206,246,246,251,236,205,178,155,120,164,250,243,242,227,187,144,201,208,214,220,222,233,255,248,219,191,174,181,197,245,250,243,222,194,167,142,117,215,224,182,151,113,90,87,202,209,216,220,223,232,253,248,227,202,193,180,193,231,250,235,208,180,158,134,119,137,103,87,90,97,96,94,204,211,216,221,224,229,245,249,236,210,211,184,184,215,241,230,199,169,151,127,102,82,86,90,86,99,101,89,204,212,217,222,227,227,236,248,240,218,213,192,177,209,222,222,191,161,144,121,93,83,83,96,81,86,100,98,205,212,217,222,227,230,230,243,237,223,210,192,161,201,204,209,177,151,136,103,91,84,71,89,92,80,87,95,204,211,216,221,226,231,224,238,240,224,207,185,159,175,199,186,167,143,127,76,77,96,75,76,94,87,77,86,205,212,217,221,225,231,226,237,250,231,208,185,163,160,188,177,157,137,113,67,62,88,91,72,82,91,81,80,206,212,217,221,226,231,228,237,243,223,198,184,162,158,170,169,149,124,100,84,54,73,93,83,71,88,88,79,207,213,219,222,225,233,219,237,239,198,199,189,168,156,159,164,147,104,83,96,60,60,84,91,76,76,87,83,201,208,214,220,223,236,178,237,242,207,215,198,173,152,154,159,140,83,69,96,72,52,74,91,85,76,78,86
6,225,227,227,228,229,229,227,227,227,227,227,225,224,223,222,221,221,218,217,215,215,215,214,212,210,210,152,172,226,228,229,229,230,229,228,229,229,228,228,227,226,226,225,223,222,220,219,218,217,217,216,215,213,209,204,155,229,230,232,232,232,232,230,230,231,230,228,228,227,228,227,226,223,221,222,221,221,219,217,216,215,211,211,193,230,233,233,234,234,234,233,233,233,233,232,229,228,229,228,226,225,224,224,224,224,220,218,217,215,213,210,201,232,234,235,236,236,236,235,235,234,233,232,232,230,230,230,229,228,227,225,225,224,221,219,219,217,215,211,207,234,235,235,237,238,236,237,237,236,236,235,234,233,231,231,232,230,228,226,226,226,224,221,219,219,217,216,211,234,236,236,239,240,240,239,240,237,236,236,237,235,235,235,232,230,225,225,224,224,221,217,217,210,214,214,214,236,237,238,240,241,242,241,241,243,242,237,234,230,223,220,217,215,191,191,208,209,192,203,199,208,254,195,205,237,239,242,243,241,241,240,239,231,218,220,222,215,217,220,221,209,205,191,215,220,201,205,207,197,232,173,199,239,242,243,243,243,241,242,248,222,198,207,222,224,230,233,231,213,189,190,184,184,171,159,161,150,155,184,219,240,241,243,244,245,241,253,255,230,212,201,200,205,199,194,185,175,164,135,130,120,127,174,180,200,216,223,219,240,242,243,244,246,243,255,255,244,228,210,193,187,177,170,159,143,122,92,76,74,194,243,232,231,226,221,219,241,243,245,246,246,251,255,255,255,224,185,177,183,192,190,182,171,162,159,116,158,244,227,228,226,225,223,221,243,245,245,249,244,255,255,255,254,192,158,168,173,186,192,191,179,167,168,132,173,246,230,231,229,227,225,223,245,247,248,249,243,255,255,255,224,165,175,171,161,164,184,173,162,162,154,105,180,245,232,233,229,227,226,225,244,247,249,245,250,255,255,255,234,211,195,176,150,150,188,179,171,175,155,119,229,239,235,233,232,229,228,226,246,249,250,244,255,255,255,255,255,254,210,173,180,190,191,182,167,154,152,131,197,246,234,235,232,229,227,225,248,250,245,251,255,255,255,255,255,255,203,161,168,174,174,171,154,143,143,108,190,246,235,237,233,230,227,225,248,250,241,255,255,255,255,255,255,240,193,166,159,150,154,162,158,152,128,125,230,241,236,236,234,230,230,233,248,239,241,255,255,255,255,254,248,242,222,201,165,122,131,158,153,152,119,163,249,234,237,235,230,230,228,203,248,225,255,255,255,255,255,255,253,245,251,238,181,143,159,182,170,146,135,121,227,242,234,233,234,242,159,72,235,233,255,255,255,255,255,255,248,252,255,223,163,139,150,152,141,128,116,111,225,241,240,245,213,141,70,57,229,254,255,255,255,255,251,246,242,253,239,194,151,144,143,130,120,114,108,188,254,243,211,145,87,58,58,54,246,255,255,255,249,241,233,235,234,218,196,164,146,134,110,151,170,193,222,230,182,127,74,55,57,56,57,56,255,254,255,249,233,229,226,222,220,196,168,154,154,145,159,222,198,170,136,93,61,36,42,53,53,48,51,48,251,253,244,231,219,207,219,217,204,191,178,162,137,105,107,79,57,48,45,56,43,27,40,45,47,44,47,43,250,248,240,228,213,200,202,195,180,171,151,121,86,60,41,47,46,48,52,53,30,20,33,39,45,42,43,45,253,242,235,216,192,184,177,160,141,128,104,75,50,60,48,33,39,40,47,48,23,17,29,37,43,38,37,43
7,182,185,187,190,193,195,198,198,201,204,205,206,209,210,210,211,212,212,213,214,214,213,214,214,215,215,212,212,182,187,189,191,194,196,198,200,203,205,206,208,209,209,210,212,212,213,214,214,215,215,215,215,215,216,214,214,185,188,190,193,196,197,199,201,204,204,206,209,209,211,211,212,213,215,215,216,215,215,215,215,215,215,214,214,187,189,191,195,198,199,202,204,205,206,209,208,210,213,213,212,213,214,215,217,217,217,216,216,216,217,216,214,187,190,194,197,199,202,204,206,206,207,210,212,212,213,213,215,215,214,216,218,217,218,217,218,217,217,217,214,189,191,194,198,200,203,205,207,210,211,214,215,214,214,216,216,219,219,218,218,219,220,219,217,220,220,218,216,189,191,195,198,201,204,205,209,211,212,216,216,215,218,220,214,206,208,215,214,210,203,200,227,190,212,223,218,190,193,196,199,201,206,208,210,212,213,216,217,216,212,201,192,189,175,178,186,191,180,174,198,151,202,217,213,194,196,197,200,203,207,206,210,210,207,210,211,217,207,197,198,193,168,176,176,183,179,174,170,161,193,196,167,195,197,200,202,205,208,209,215,189,181,194,203,210,201,194,187,171,168,162,151,155,158,150,148,145,144,145,180,195,197,201,204,206,205,225,212,172,178,186,178,165,153,153,151,141,134,137,151,152,152,156,164,172,184,200,226,196,197,202,206,204,226,233,209,194,173,162,143,127,112,124,155,159,186,219,227,225,224,227,232,232,234,231,226,196,200,204,202,223,240,224,225,213,161,151,155,159,157,151,161,191,234,232,229,230,231,230,227,226,226,228,228,198,202,200,218,240,228,226,221,196,167,158,147,153,160,152,130,113,151,235,229,231,231,231,229,230,230,230,230,199,198,212,234,232,225,218,201,186,175,160,129,121,142,149,146,134,122,229,234,232,232,232,232,231,230,231,231,194,208,235,233,219,207,201,192,184,175,159,131,112,114,118,121,126,131,233,234,234,233,234,233,232,232,232,232,205,233,231,222,212,201,196,195,193,186,166,137,130,134,115,93,96,132,242,234,234,234,234,233,232,233,233,231,232,226,214,213,210,200,199,192,187,182,169,150,141,139,132,124,111,118,216,242,234,235,236,236,235,235,234,231,223,217,214,208,200,197,190,181,185,181,160,141,135,133,136,130,123,87,99,207,243,234,238,237,238,237,235,233,217,214,205,204,200,195,178,180,188,166,139,122,104,90,116,126,123,96,96,176,249,235,237,237,237,237,235,235,213,209,200,197,187,182,190,185,161,139,125,94,84,80,74,118,125,105,159,232,239,237,238,239,238,239,237,237,210,206,196,183,187,191,186,163,141,128,111,89,95,90,91,113,119,206,246,242,239,239,238,239,239,239,239,239,197,193,178,185,190,179,160,143,133,112,116,140,156,166,114,133,215,246,238,240,241,241,241,240,240,239,239,239,171,171,168,169,162,150,141,126,112,134,209,239,242,249,217,224,247,239,242,243,243,242,243,240,239,239,239,239,154,146,140,139,138,127,120,130,176,229,240,235,236,237,244,244,240,243,243,243,243,243,243,241,240,240,239,239,149,129,121,116,103,123,188,223,239,232,232,237,238,239,238,242,244,244,244,244,244,244,243,241,242,241,240,240,147,124,107,102,162,213,236,230,231,232,236,240,239,241,242,243,244,245,245,244,244,245,245,244,244,242,241,242,149,126,104,111,227,230,225,230,234,234,237,241,241,241,244,244,245,247,247,245,245,245,245,245,245,244,243,243
11,137,141,146,152,156,159,163,166,169,170,172,173,174,178,176,176,176,176,176,177,177,176,174,178,145,123,160,197,139,143,148,153,157,161,164,167,169,171,173,172,189,164,176,176,177,176,176,176,176,174,173,177,151,138,162,200,142,146,152,157,160,163,166,170,173,174,176,172,207,146,160,182,176,177,177,177,176,174,174,171,162,199,192,196,145,150,156,161,165,169,172,175,177,178,179,177,220,153,139,187,178,179,179,178,177,176,175,169,186,172,194,197,150,154,160,165,170,174,177,180,182,184,185,183,222,149,130,190,183,183,183,182,181,180,179,178,181,153,203,197,153,158,166,171,174,178,182,185,188,190,190,190,221,141,136,196,187,189,188,187,186,185,183,180,182,198,192,197,156,161,170,177,181,183,187,191,194,195,195,200,227,138,144,202,193,194,193,192,191,189,187,184,185,171,160,198,157,165,174,181,186,189,193,196,199,201,197,218,230,118,159,208,198,198,197,197,196,194,192,189,188,180,180,196,161,169,180,185,189,194,199,202,203,206,201,225,213,118,176,212,203,203,203,202,200,198,196,194,193,189,193,202,163,172,183,189,193,197,202,206,208,206,221,223,143,110,184,215,207,207,206,206,205,203,201,199,197,193,196,212,166,175,186,193,198,202,206,209,209,211,211,214,149,110,193,217,211,211,211,211,209,207,205,203,201,196,197,213,170,178,189,196,200,205,209,214,232,229,136,135,168,123,198,220,215,215,215,214,213,211,209,208,204,202,204,212,172,182,192,199,203,206,212,201,221,217,147,113,162,135,182,226,217,218,219,217,216,214,212,209,209,197,186,216,174,184,194,202,204,211,235,185,124,157,180,127,142,136,163,231,219,221,221,220,220,218,217,214,222,146,119,220,176,187,198,201,214,236,224,201,162,120,166,143,119,142,136,228,223,225,224,221,216,205,191,189,185,112,96,125,178,190,198,214,237,201,161,187,200,138,123,133,111,155,130,213,233,225,219,211,216,198,177,175,156,114,102,93,179,191,199,234,223,167,132,124,189,145,108,127,102,170,167,171,219,217,223,222,213,188,164,145,126,105,98,98,181,192,202,231,204,152,126,95,161,152,111,138,95,137,176,125,182,223,225,201,165,135,102,86,95,91,94,97,183,194,200,222,188,141,120,102,133,160,119,152,116,143,167,156,195,207,181,138,111,92,83,85,86,86,87,96,184,196,201,222,205,159,133,116,115,141,136,160,142,203,180,152,171,155,116,84,91,97,83,81,83,84,92,68,184,195,202,227,210,166,144,124,122,133,172,203,208,204,165,142,139,88,82,86,78,93,93,76,76,82,82,63,184,195,202,227,214,181,156,128,134,144,207,234,222,185,148,130,96,82,71,91,79,78,93,87,72,72,73,75,183,196,202,223,215,190,158,136,144,151,214,221,194,164,140,101,60,91,77,74,89,78,80,88,81,71,73,73,187,199,210,219,210,197,164,151,150,153,198,211,179,147,130,98,58,73,92,72,81,87,76,76,85,73,71,72,160,167,171,183,210,201,170,163,151,153,183,200,173,143,109,90,71,59,88,85,72,81,83,72,77,79,65,71,136,136,132,147,210,197,177,170,151,142,173,175,153,121,71,80,84,52,75,88,80,76,79,75,69,78,69,62,142,142,140,154,214,201,182,168,151,135,153,146,124,87,60,72,92,58,61,87,83,79,76,73,67,70,72,62,141,142,142,146,211,202,175,161,148,138,143,135,85,72,70,65,91,72,51,76,86,77,75,73,70,67,65,66
12,162,163,163,164,165,165,166,167,167,167,167,168,168,168,168,169,169,168,169,168,167,168,168,168,167,167,167,166,163,164,165,166,166,166,168,168,167,168,168,169,169,169,169,170,169,169,170,170,169,168,168,169,168,168,168,168,163,164,165,167,167,168,170,170,169,170,170,171,170,170,170,171,171,171,172,171,169,170,170,169,169,169,169,169,164,165,166,167,168,169,171,171,169,170,171,171,171,170,171,172,172,173,172,171,171,172,171,171,170,171,170,170,166,167,168,169,169,169,171,172,171,170,171,173,171,179,172,169,174,172,173,175,173,173,173,173,172,172,171,171,168,168,169,170,171,171,172,173,171,179,182,168,178,192,180,142,153,182,174,162,174,173,174,174,173,173,173,172,168,169,170,171,172,173,173,170,184,208,195,156,169,199,185,129,110,184,176,130,148,178,173,175,174,175,175,174,168,169,171,173,173,173,175,168,191,211,198,155,158,204,183,136,102,181,168,129,106,176,177,176,175,175,176,175,169,171,173,173,174,175,174,171,196,209,199,154,155,206,180,148,125,184,155,117,92,164,182,177,177,176,176,175,170,173,173,173,175,172,186,195,172,182,198,178,138,202,188,147,142,185,162,113,86,155,184,177,178,177,177,177,171,173,174,174,175,175,209,196,153,144,176,167,118,191,186,120,146,192,150,105,83,150,186,178,179,178,178,177,173,174,176,177,172,193,211,199,172,124,154,128,88,128,132,97,152,159,109,87,82,148,188,179,181,179,179,178,174,175,176,178,174,203,209,204,178,139,127,124,79,74,89,154,174,154,117,119,105,151,189,180,181,181,179,179,175,176,179,177,178,206,189,202,183,159,113,97,105,89,153,208,203,184,156,155,127,153,189,181,182,181,180,180,175,178,178,176,184,211,197,183,184,161,125,96,97,143,211,207,199,183,158,147,119,137,191,182,183,181,181,181,177,178,179,176,197,211,202,165,179,161,134,102,92,199,211,206,198,184,163,137,109,138,192,183,184,182,182,183,178,179,181,176,201,211,206,187,165,160,170,125,123,211,208,206,197,181,153,133,105,141,193,183,186,184,183,184,179,180,183,178,194,211,208,190,162,144,162,156,182,211,207,207,197,176,151,130,107,124,191,184,186,185,184,185,180,180,183,178,196,211,209,195,183,170,155,190,207,211,204,205,197,172,155,126,105,118,193,186,186,186,185,185,180,181,183,180,198,211,210,204,195,191,177,191,200,211,200,199,192,175,150,123,96,136,196,186,187,186,187,186,180,182,184,181,196,211,211,209,201,193,182,186,192,209,197,190,184,175,140,117,93,171,191,187,189,187,188,187,181,183,185,183,189,211,211,210,203,188,180,186,187,202,192,181,180,166,132,100,117,195,187,188,189,189,189,187,181,182,184,185,184,207,210,207,199,182,174,183,183,193,186,178,172,149,117,89,166,195,189,190,190,189,189,189,182,184,187,190,187,206,211,203,195,182,179,186,191,204,193,179,162,133,92,119,197,190,191,190,190,190,190,189,181,176,172,167,156,165,161,140,137,135,134,139,134,140,130,122,118,105,84,180,206,192,192,192,192,191,192,190,134,131,123,117,102,93,90,85,79,72,67,65,53,52,53,51,51,54,58,99,153,193,193,191,192,192,191,191,117,117,119,112,102,96,94,87,81,76,72,65,57,56,55,54,50,48,45,38,42,176,195,190,191,191,190,190,129,116,119,111,102,95,91,85,80,72,68,63,56,54,55,53,49,46,48,37,91,197,189,192,191,190,190,190
8,66,76,84,91,95,100,104,106,109,111,115,118,119,122,126,127,130,132,133,134,134,135,138,141,140,141,141,141,68,77,84,91,96,101,106,107,109,119,102,106,123,124,126,129,132,133,134,135,136,138,141,142,141,141,141,141,70,80,86,92,99,104,109,107,119,150,78,62,131,124,126,130,134,134,136,137,140,143,140,141,142,142,142,142,71,81,89,96,99,105,111,103,134,138,54,56,134,126,128,132,135,135,136,140,143,140,145,144,143,143,144,144,74,80,90,99,101,106,110,105,155,110,33,81,135,127,130,133,137,138,139,142,143,144,119,139,146,143,146,146,78,82,92,99,102,108,108,117,159,86,31,102,134,131,134,134,137,140,144,140,156,143,42,102,157,144,147,148,80,84,93,98,101,110,108,133,158,87,37,122,132,132,134,138,145,142,144,141,170,132,23,96,160,148,151,150,79,86,94,99,106,113,105,146,149,80,44,129,126,134,137,126,115,138,145,125,168,136,47,87,163,149,151,151,80,89,96,102,107,113,104,160,140,63,60,130,91,102,146,121,76,77,138,103,164,144,97,56,146,155,154,154,82,91,101,102,105,114,108,173,145,82,141,138,95,78,143,124,70,63,127,91,129,161,111,46,91,165,151,157,83,92,99,102,109,114,115,183,140,117,190,143,88,83,139,107,49,66,116,63,135,174,113,48,66,170,154,158,83,92,99,106,111,112,127,173,125,92,185,159,73,91,137,87,31,64,100,54,168,167,115,43,84,171,156,159,86,94,100,103,109,110,130,164,142,107,160,149,50,109,131,71,33,37,87,55,169,152,102,33,91,173,158,162,85,95,103,105,114,109,141,169,158,149,160,143,79,105,146,93,28,39,84,96,160,124,84,28,107,174,160,163,87,94,103,106,112,111,168,159,150,129,146,160,107,122,169,108,26,66,114,143,151,109,69,27,125,171,160,163,85,94,103,110,109,123,168,119,115,102,115,129,78,120,116,64,101,148,149,119,124,106,68,24,130,172,161,163,87,95,103,109,107,147,166,122,105,91,68,65,57,62,105,150,170,148,139,103,86,89,64,19,136,172,162,166,88,97,103,110,105,178,165,135,114,84,67,62,69,135,198,197,159,139,122,85,62,63,45,31,166,168,166,168,88,99,105,108,122,194,164,141,112,86,70,45,114,199,196,187,158,124,101,69,50,54,22,81,179,164,167,168,90,100,107,103,148,200,159,140,116,100,79,87,180,191,189,173,140,108,84,57,39,44,17,143,175,167,169,170,91,100,111,98,167,202,158,138,126,115,105,154,184,182,174,158,124,93,72,46,36,32,25,161,175,167,170,173,92,100,111,99,185,198,161,149,141,132,154,180,190,168,148,137,108,81,62,39,36,23,49,175,170,170,172,172,94,101,111,101,194,201,164,150,136,140,176,189,183,149,132,121,95,71,50,36,33,12,113,179,170,174,173,172,95,102,112,103,183,205,173,154,138,141,172,180,156,135,118,107,82,58,41,34,16,69,173,169,172,172,173,174,92,101,112,103,175,205,176,161,141,136,158,161,148,133,108,100,75,50,38,22,51,165,171,171,172,173,174,175,93,102,112,106,159,191,156,150,136,137,145,156,153,136,111,98,73,45,22,24,147,175,170,172,172,174,174,175,93,103,112,107,147,169,156,147,150,151,132,141,144,124,102,88,61,29,5,112,174,167,171,172,173,173,175,176,95,104,113,109,142,177,169,159,164,153,129,130,139,120,92,76,50,5,53,169,167,171,172,174,175,175,175,176
21,152,155,159,162,164,166,168,169,170,172,172,173,174,174,175,172,172,172,171,170,171,170,168,169,167,165,165,164,152,156,160,164,165,168,169,170,171,172,174,175,176,176,174,175,176,173,173,172,171,170,170,169,169,167,166,166,154,157,160,164,166,169,170,171,172,174,175,177,178,176,183,149,149,181,174,175,174,172,171,170,170,169,168,167,155,158,162,165,167,170,171,171,174,176,178,178,178,178,196,134,111,183,176,175,174,174,172,171,171,170,169,168,155,159,164,166,168,171,173,174,175,178,180,179,177,181,193,133,122,183,177,177,176,173,175,175,173,171,171,171,157,160,164,168,169,171,174,176,177,178,180,180,177,187,192,130,125,185,177,178,177,153,130,175,175,174,172,172,159,163,165,169,171,172,176,177,178,179,180,181,180,191,192,131,131,187,178,178,173,140,105,172,177,174,173,173,159,163,166,170,173,175,177,178,179,180,182,183,182,193,188,133,134,188,179,178,170,133,118,181,176,176,175,173,158,162,166,170,172,175,177,178,180,183,183,184,181,196,185,131,129,190,180,177,165,120,138,186,177,178,176,174,159,163,167,171,173,176,178,179,182,183,184,185,182,200,185,130,126,190,181,175,160,114,163,184,179,178,177,176,161,165,169,174,175,177,179,180,182,184,185,186,183,208,186,123,137,192,175,170,143,118,183,182,180,179,179,177,162,166,170,172,175,178,179,181,184,184,184,183,189,205,170,114,149,191,172,170,118,135,189,181,180,180,180,179,162,167,170,172,176,179,180,182,183,190,170,143,164,186,142,102,153,188,179,159,108,167,188,182,181,181,180,180,162,168,171,174,177,179,181,184,183,192,169,127,118,114,111,96,160,184,178,135,119,189,184,184,183,182,182,180,163,168,171,174,178,180,183,184,189,186,181,164,146,109,92,113,147,162,158,111,149,194,184,185,185,183,182,182,165,169,172,175,179,181,185,183,200,204,195,207,177,136,93,105,118,131,127,105,177,191,185,186,186,185,184,183,165,169,173,177,179,182,183,192,187,185,191,204,168,122,100,96,107,113,105,125,194,188,188,188,187,186,185,184,166,170,174,178,180,183,182,200,163,154,180,158,163,130,108,98,94,105,96,152,199,189,189,189,188,187,185,185,166,170,174,178,182,184,184,203,185,158,134,109,169,152,116,102,93,98,97,169,198,190,190,190,189,187,186,187,166,170,175,179,182,184,187,203,174,135,116,96,150,168,131,109,100,98,92,169,198,190,191,190,190,189,187,187,167,171,175,179,183,183,192,204,166,152,149,121,173,183,146,130,105,101,92,168,200,190,191,191,191,190,189,187,167,171,176,180,184,182,198,206,175,169,140,157,222,184,151,142,112,104,98,174,200,193,193,192,191,191,190,189,167,172,176,181,184,183,200,208,193,160,145,208,212,173,145,140,118,107,102,178,200,194,194,192,192,191,190,190,168,173,177,182,185,184,199,219,194,154,163,214,198,169,141,131,121,108,111,188,200,195,195,194,193,192,191,191,167,172,177,181,184,183,199,211,171,168,165,212,194,173,157,123,115,108,121,197,197,195,195,195,193,192,192,191,165,171,177,179,182,182,195,194,169,188,157,209,195,166,156,127,112,107,134,201,195,195,195,194,192,191,190,190,166,171,176,180,182,184,190,187,198,194,162,206,183,155,138,122,115,106,145,202,195,196,195,194,193,191,192,190,166,171,177,180,183,185,187,190,201,182,157,193,171,144,123,114,113,103,159,202,196,197,196,194,193,192,192,191
21,104,112,118,118,122,127,132,135,138,142,143,145,146,148,150,150,149,154,152,150,150,148,148,146,144,144,144,143,105,113,118,121,124,128,133,136,140,143,144,145,148,151,152,153,154,122,145,153,151,150,150,149,148,146,145,144,106,114,120,121,126,130,134,138,142,146,147,147,150,154,152,160,173,67,98,162,149,152,152,150,148,146,147,148,106,115,120,121,126,132,137,139,141,146,147,149,152,154,153,165,171,70,99,166,154,154,154,151,151,151,149,149,109,117,121,121,128,133,138,142,142,145,148,151,153,155,153,170,163,77,100,167,155,156,156,139,98,141,154,149,111,117,121,123,130,135,138,144,144,147,150,153,154,155,154,175,163,79,103,170,157,159,154,122,56,127,159,151,111,118,123,126,130,135,140,145,147,150,153,154,156,159,157,176,162,86,104,170,159,158,151,113,64,149,156,155,110,118,123,125,129,135,141,145,149,152,154,156,157,161,157,176,160,89,97,171,158,157,145,99,80,163,155,155,111,120,125,126,132,137,143,146,150,153,155,157,160,162,157,179,160,93,85,172,160,156,143,84,111,167,156,157,112,120,124,127,134,139,145,149,152,154,156,159,160,162,157,189,170,89,91,174,158,149,133,69,139,164,159,158,113,122,127,129,135,141,144,148,152,154,156,159,160,164,162,192,158,81,103,175,151,149,107,72,162,161,159,159,114,125,129,130,136,142,144,149,152,154,157,161,163,152,163,182,131,67,102,175,153,152,78,103,173,160,162,161,114,125,129,129,136,143,145,150,153,157,158,171,146,104,114,140,91,51,104,170,161,135,63,143,172,163,163,162,116,126,130,131,136,142,146,152,156,158,159,169,144,97,80,57,54,60,116,153,151,100,73,170,168,165,165,164,115,126,129,132,139,144,147,153,156,157,165,167,158,148,124,81,36,69,106,122,120,66,107,180,166,168,167,166,116,126,129,132,140,144,148,154,159,157,175,191,174,199,159,106,47,47,69,83,88,54,144,178,168,170,169,167,119,129,131,132,141,146,150,155,157,163,166,154,171,182,144,82,55,44,53,66,65,66,170,173,170,170,170,168,120,127,131,133,140,145,152,156,157,174,155,113,165,123,131,99,67,54,43,53,49,84,180,172,171,171,170,169,118,127,130,134,140,146,152,157,157,175,181,140,105,55,120,129,84,58,51,46,42,88,183,173,173,172,170,169,119,129,131,134,141,147,152,158,158,178,165,108,83,65,90,145,104,73,57,53,40,78,184,175,175,174,172,172,120,129,130,135,142,148,153,159,158,187,162,128,133,98,129,177,116,102,71,55,46,83,183,177,176,175,173,173,121,128,129,134,142,148,154,159,160,194,168,153,125,114,203,185,123,112,80,60,50,90,185,178,177,177,176,173,121,128,131,136,143,148,155,160,161,191,190,159,113,161,209,162,116,101,85,67,54,96,186,178,179,178,178,176,121,127,131,136,141,148,154,159,160,193,198,143,128,168,197,153,125,92,85,72,54,116,188,177,179,178,177,175,120,126,129,133,139,147,153,156,156,188,171,136,143,158,195,154,140,105,69,70,53,129,186,176,178,177,175,175,119,126,128,133,141,147,153,156,157,179,153,159,152,146,196,152,126,107,73,69,58,139,187,178,179,177,176,175,119,127,128,133,141,149,154,158,162,169,161,190,150,154,183,139,107,88,73,67,61,153,186,179,179,177,178,176,119,127,129,134,140,148,154,158,162,164,170,176,139,133,164,126,92,74,69,61,61,163,184,179,180,178,177,177
1,146,148,148,148,149,149,149,149,150,149,149,149,149,148,148,150,140,126,144,142,143,141,139,138,138,136,135,133,150,150,151,152,152,152,153,153,153,152,152,152,152,153,143,141,149,86,140,153,144,144,142,141,140,139,137,135,154,155,155,155,156,155,156,157,156,156,155,156,154,161,147,96,148,83,93,120,149,146,145,144,144,142,140,138,157,158,158,158,159,159,159,159,158,158,159,159,156,167,139,91,147,73,58,77,134,153,148,146,145,144,143,140,160,160,160,160,162,162,162,162,162,162,162,164,163,170,118,95,145,59,87,92,113,160,149,149,148,147,145,143,164,163,164,164,163,164,164,164,163,163,166,145,148,172,100,108,149,65,108,96,99,163,151,152,151,149,147,145,167,167,168,168,168,168,168,167,166,165,169,135,103,174,99,125,139,62,115,99,98,166,155,155,152,151,150,148,169,170,170,171,171,170,171,170,170,169,172,123,100,162,89,140,115,63,134,108,99,168,157,158,155,153,152,150,171,172,172,173,172,171,171,171,171,171,173,100,115,141,88,151,112,87,155,99,99,170,159,160,157,156,154,153,174,174,174,175,174,174,174,174,174,174,173,94,122,143,97,156,117,93,155,91,102,173,161,162,160,158,157,156,175,176,176,176,176,177,177,176,175,177,164,82,126,152,89,153,114,78,151,104,113,175,163,163,162,161,159,157,178,177,177,178,178,178,177,178,176,181,156,74,136,138,68,140,89,78,160,101,114,178,165,165,165,163,161,158,179,180,180,180,180,181,180,180,179,182,160,78,129,125,78,146,87,92,155,92,113,180,167,169,167,166,163,161,181,182,182,182,182,182,182,181,180,183,144,83,137,130,130,149,124,95,116,94,117,180,170,171,169,166,165,163,182,183,182,182,182,182,182,182,183,178,143,141,128,108,120,122,127,112,97,88,91,177,171,171,170,168,166,165,183,184,184,184,183,184,184,184,183,178,160,131,101,94,105,124,128,107,96,102,74,159,178,171,171,170,168,166,184,184,185,185,185,185,186,186,186,180,147,104,90,93,108,139,131,118,146,138,78,131,186,174,174,171,170,168,186,186,186,187,186,187,187,188,183,176,140,96,94,104,117,145,153,152,132,149,105,105,186,174,175,172,171,169,187,188,189,188,188,189,188,189,179,172,149,100,83,107,132,153,163,174,122,147,127,81,176,178,175,174,172,170,188,188,189,189,189,189,189,191,176,172,159,112,77,108,138,155,161,164,147,131,97,65,173,180,177,176,175,172,190,190,189,190,190,190,190,193,173,170,163,125,91,94,138,167,166,162,135,122,69,85,189,178,177,177,176,174,189,190,190,190,191,192,191,195,174,158,156,126,99,92,149,178,173,161,125,98,57,140,191,179,179,178,177,176,189,190,190,191,191,192,190,194,181,152,146,128,106,101,156,171,156,140,110,76,69,184,183,181,181,178,177,177,188,190,190,190,190,191,191,193,188,158,149,134,115,111,156,163,148,122,96,54,113,195,181,182,181,179,177,176,188,190,190,190,191,192,191,192,194,162,148,144,123,110,146,149,134,104,72,52,170,187,182,182,180,178,176,174,189,190,191,191,191,192,191,192,195,169,152,144,124,110,128,122,101,76,37,122,194,182,183,182,180,177,174,174,189,190,190,192,192,192,192,193,190,168,157,144,126,113,115,105,76,42,114,196,185,185,184,183,181,180,183,174,189,189,190,192,192,192,192,196,177,161,164,148,142,125,104,91,48,77,199,188,187,186,184,183,182,169,139,90
4,238,238,239,240,240,239,238,238,236,237,237,236,235,234,235,233,230,231,230,228,226,228,226,225,226,224,221,219,241,240,241,241,242,240,238,238,238,238,236,236,237,234,234,235,234,234,231,230,229,228,227,226,224,225,224,221,242,243,243,243,241,240,240,241,241,239,237,237,235,234,236,236,233,233,234,230,228,229,229,226,225,225,226,224,244,245,244,245,244,244,244,243,242,243,241,239,239,242,239,237,239,235,232,231,230,230,229,227,228,227,227,225,246,246,245,245,246,245,243,241,236,226,233,242,213,203,232,233,216,217,238,232,234,229,228,230,227,228,227,226,247,247,247,248,247,245,248,254,222,201,151,175,206,152,127,202,197,136,161,249,236,237,230,231,230,229,228,226,249,249,247,248,248,242,255,255,231,189,127,100,191,151,87,161,191,133,91,141,165,188,235,231,232,231,229,227,250,251,250,249,244,254,255,236,243,167,110,106,184,132,80,156,180,123,100,62,100,94,151,240,229,231,229,228,251,251,251,252,247,255,255,221,240,170,152,101,192,181,76,144,216,158,101,68,98,88,104,241,229,232,232,228,252,251,252,253,249,255,255,198,226,227,198,105,228,221,78,144,255,186,104,74,151,122,130,243,231,234,234,231,252,252,253,253,247,255,255,245,204,217,158,105,228,192,71,128,255,174,101,110,190,180,121,227,237,234,234,231,254,253,252,254,251,255,255,235,201,162,116,83,129,110,130,227,185,174,185,172,182,171,110,159,250,233,235,232,254,254,255,255,255,255,244,211,173,145,132,115,87,74,150,255,197,185,207,192,186,167,148,115,223,240,233,234,255,254,255,253,255,255,255,235,202,142,111,104,98,104,96,186,199,179,197,186,162,200,194,120,166,250,232,235,255,255,255,255,255,255,255,245,194,135,120,107,97,99,106,134,145,159,183,118,163,230,211,156,113,244,236,235,255,255,255,255,255,255,255,246,185,132,132,111,100,107,128,145,156,189,207,184,179,227,222,165,91,208,246,236,255,255,255,255,255,255,255,220,180,148,131,115,95,139,187,221,232,237,224,234,197,172,187,152,90,160,252,234,255,255,255,255,255,255,255,220,194,139,124,136,177,230,244,245,232,229,209,192,200,148,143,134,102,125,251,234,255,255,255,255,255,255,255,225,202,166,164,198,230,249,240,239,226,213,198,178,179,149,130,130,108,104,249,237,255,255,255,255,255,255,255,234,220,182,183,221,219,255,237,229,218,209,193,173,159,141,123,123,79,142,253,237,255,255,255,152,118,152,213,250,216,184,172,213,213,228,225,216,218,197,166,154,146,122,107,79,108,242,243,241,255,255,229,92,98,86,92,113,113,108,120,169,194,209,213,209,199,173,147,142,123,105,71,89,232,250,245,245,255,255,150,94,95,95,94,50,32,59,57,64,92,128,162,198,185,163,142,121,101,67,87,228,252,243,247,245,255,217,91,100,90,89,92,78,20,48,57,54,50,45,52,86,119,129,111,88,57,101,234,255,246,249,248,247,255,133,91,90,80,79,88,85,18,31,51,54,50,48,44,38,40,59,59,48,135,249,255,249,251,249,249,247,196,91,101,81,74,80,87,74,14,28,46,49,44,41,46,44,43,42,7,112,255,252,251,252,250,251,251,247,112,95,70,110,108,53,96,49,9,32,45,44,38,41,41,39,43,35,20,26,214,255,252,254,253,252,251,249,92,82,66,100,136,72,77,21,17,36,39,38,34,37,37,39,42,25,26,5,139,255,251,255,252,251,251,251
2,210,211,210,211,210,210,212,212,211,212,213,212,211,211,210,210,211,208,209,209,208,208,208,208,206,206,205,204,213,213,213,213,213,212,213,213,213,214,215,213,213,213,215,215,214,215,210,209,207,209,209,208,208,206,205,205,215,214,215,214,215,214,215,215,215,215,215,215,211,207,197,194,174,188,223,215,211,210,209,208,208,207,206,207,215,215,215,216,217,216,215,214,216,216,213,202,178,154,135,118,109,139,196,186,207,212,210,211,211,209,208,208,218,217,217,218,217,218,216,217,212,210,193,156,125,112,109,91,90,99,131,113,201,216,213,213,213,211,212,211,218,219,219,218,219,219,219,212,204,185,146,110,91,86,83,84,89,102,108,112,199,217,213,213,214,213,211,212,219,220,219,219,220,219,218,206,200,144,97,84,79,82,90,80,81,89,101,107,119,219,214,213,214,214,212,213,220,220,218,218,219,220,215,209,180,122,80,72,82,85,85,80,93,104,107,111,171,222,214,216,216,217,215,214,221,221,220,219,221,222,212,208,154,100,77,85,84,73,89,101,92,93,129,198,222,216,218,218,214,201,210,216,221,221,222,221,222,221,213,202,150,104,80,92,78,89,98,87,119,195,219,223,218,219,220,216,196,160,172,223,222,222,222,223,226,216,216,198,150,108,90,78,83,106,100,158,218,227,220,219,220,221,218,193,193,131,181,225,224,223,223,225,217,204,223,194,145,105,92,74,97,93,147,241,221,221,222,221,220,223,204,187,173,125,215,219,226,225,223,228,206,194,224,194,156,113,87,79,95,91,203,228,221,224,223,222,222,224,190,193,137,140,229,216,226,226,225,231,204,191,228,199,169,121,85,87,84,138,237,222,225,225,224,224,225,208,183,183,127,151,230,218,226,226,227,232,201,204,234,204,175,136,92,89,77,176,241,228,231,230,226,228,209,190,194,181,114,149,233,219,226,226,226,234,202,212,237,206,180,145,98,87,81,171,230,205,199,208,220,212,189,196,192,150,110,204,224,222,227,228,228,232,200,217,237,203,181,156,105,83,93,110,138,148,155,160,167,158,181,186,157,113,195,228,221,223,228,229,229,233,199,217,234,204,186,159,111,86,98,121,151,169,171,152,149,142,150,152,108,186,232,221,225,223,228,230,229,232,197,218,231,211,191,160,115,102,108,147,161,176,165,148,131,128,129,102,167,235,222,226,226,225,229,230,231,229,200,218,229,213,189,159,125,114,106,147,155,165,161,142,124,121,95,137,235,225,226,226,225,225,231,231,233,228,205,221,225,215,186,156,132,123,107,135,146,149,149,134,121,98,117,220,231,227,228,227,227,226,232,231,233,226,212,224,222,220,187,151,134,122,106,132,132,133,130,119,101,149,221,233,228,228,228,227,227,226,233,232,234,224,218,227,219,215,177,137,124,114,104,128,119,125,109,106,185,236,232,229,228,228,228,227,227,226,232,231,234,220,220,227,216,205,164,122,115,109,109,122,111,104,113,201,240,229,231,230,229,229,229,228,228,227,231,231,233,221,213,218,214,209,174,118,118,118,115,116,90,132,219,237,231,232,233,231,230,230,229,228,228,227,231,232,232,221,216,210,214,219,190,115,124,125,122,94,130,233,232,229,232,231,230,230,230,230,228,226,226,226,231,233,226,222,229,217,220,221,196,118,126,130,118,121,226,234,231,233,232,232,230,230,230,230,228,227,226,226,232,234,225,224,227,226,222,217,194,125,120,127,110,182,241,231,234,233,234,233,231,231,231,230,228,229,227,226
0,191,192,193,193,193,195,196,196,196,197,195,196,196,196,196,195,195,196,196,197,196,197,196,196,195,195,195,195,193,193,194,194,194,195,196,196,197,198,197,196,196,195,197,202,183,169,188,196,193,197,198,196,196,196,197,197,194,195,195,196,196,196,196,197,198,199,199,200,191,173,184,210,172,145,138,156,155,165,191,181,171,197,198,200,194,196,196,197,198,198,197,198,198,198,203,218,192,161,146,194,177,160,122,105,138,134,147,164,131,197,199,200,196,196,197,198,199,199,199,200,200,183,197,224,193,171,144,196,189,169,130,111,152,138,119,155,124,193,202,201,196,197,198,199,200,200,198,209,214,166,155,212,202,180,145,193,206,177,136,122,165,138,103,140,117,180,204,202,197,197,199,200,201,201,201,220,216,177,155,191,216,183,144,182,214,180,133,124,168,132,90,129,115,140,204,201,198,198,200,201,202,201,213,209,212,190,164,162,219,181,139,164,215,175,124,105,149,121,81,122,124,99,187,204,198,199,200,202,201,207,213,189,214,200,166,139,209,180,136,134,201,161,112,84,124,109,76,125,132,91,167,207,200,201,202,202,202,213,198,168,201,200,164,126,188,175,129,106,172,148,109,79,107,97,78,139,142,98,165,208,200,201,202,202,204,214,198,172,183,186,152,111,157,162,122,86,146,141,108,77,108,96,101,165,157,106,168,209,199,199,200,200,209,207,186,156,152,171,141,102,133,155,116,70,126,140,101,82,125,102,136,181,160,107,172,209,198,199,200,199,211,220,195,159,127,158,136,94,122,153,116,66,123,148,112,141,163,129,142,181,160,109,181,209,197,200,201,200,210,223,201,166,123,121,135,104,116,161,127,78,123,161,162,181,173,150,127,154,152,108,185,208,199,201,202,201,213,226,208,179,145,112,124,121,118,169,151,140,175,187,184,176,162,143,126,115,119,97,184,209,201,201,202,201,213,227,214,189,163,145,137,141,157,174,186,199,203,197,184,171,152,131,119,103,93,90,183,210,200,202,203,201,212,225,218,198,180,168,157,150,162,183,196,204,205,201,184,167,148,125,109,99,88,97,193,210,199,202,203,202,210,221,220,207,194,182,167,159,160,179,194,201,199,194,180,161,145,122,104,93,91,149,209,210,199,201,203,201,202,219,220,218,205,189,171,162,162,178,196,203,196,187,175,158,139,117,98,88,139,203,210,210,185,186,190,191,187,212,221,223,206,190,174,163,163,180,199,200,191,181,171,153,132,110,90,114,197,211,211,211,118,119,123,126,124,192,218,217,203,192,178,164,160,180,195,189,176,166,156,141,121,103,89,149,191,193,195,196,99,101,101,101,94,163,213,203,197,194,183,168,158,177,189,179,162,145,133,122,109,97,96,111,118,119,122,133,103,104,104,104,98,149,207,193,195,196,184,169,157,172,186,172,148,123,110,103,96,98,102,100,102,120,157,190,103,102,102,103,100,141,206,188,195,195,182,170,159,167,179,164,131,103,95,91,101,105,112,128,166,205,216,209,103,102,102,104,101,137,215,198,197,191,177,168,160,157,164,152,115,93,88,94,107,128,180,214,228,222,214,203,101,101,102,103,100,132,217,208,202,189,175,169,163,149,155,145,106,89,86,103,147,207,232,234,230,223,225,219,104,102,103,103,100,130,209,210,206,188,175,171,164,143,149,140,101,82,90,159,213,228,233,230,218,217,226,230,104,103,103,104,100,129,202,209,203,183,172,170,166,140,143,135,98,75,131,214,216,228,226,218,213,217,224,229
22,151,156,161,165,168,172,176,181,183,188,192,191,191,194,195,197,199,199,196,197,198,198,201,201,200,199,200,199,156,161,164,169,172,176,182,185,188,191,194,194,201,200,200,202,201,207,202,203,204,203,205,205,204,205,204,204,159,166,168,172,176,180,184,188,193,194,199,200,157,198,205,207,201,159,207,205,200,210,210,211,209,209,209,206,161,168,172,176,179,183,187,193,196,198,206,193,104,184,215,214,214,100,194,221,163,160,221,211,212,212,213,212,164,170,174,178,183,187,192,197,201,200,217,184,87,190,215,227,211,108,199,233,164,117,227,215,216,215,216,216,168,173,178,182,186,191,195,200,203,203,223,180,81,193,216,237,206,118,209,232,162,114,224,218,219,220,220,220,171,176,181,185,189,194,198,202,208,206,226,194,87,193,222,237,190,123,216,237,172,122,226,223,222,222,223,223,174,179,183,188,192,197,201,207,213,208,228,212,89,183,228,234,170,119,221,235,169,130,232,226,226,225,226,224,177,183,186,191,196,201,206,210,215,211,236,215,87,181,235,219,151,123,225,235,167,130,237,228,229,230,230,229,178,184,188,193,199,202,207,212,218,215,237,229,102,170,249,193,143,122,233,237,168,138,241,229,230,230,231,232,179,186,191,194,199,204,209,213,219,219,232,243,164,142,151,174,158,125,240,244,158,149,246,229,233,234,233,234,182,188,193,198,202,206,212,216,220,222,230,230,197,161,131,137,152,145,247,236,145,164,251,233,236,237,238,237,184,189,195,200,203,209,213,219,223,221,240,255,220,211,210,184,115,157,243,226,134,183,251,237,238,238,239,239,186,192,197,201,206,210,215,221,224,229,233,216,222,161,229,207,130,99,192,185,118,206,248,239,239,241,241,241,189,195,200,204,210,213,218,223,225,234,224,188,204,87,136,218,173,98,99,131,96,220,247,240,239,241,242,242,190,196,201,206,212,213,218,225,226,239,242,186,187,127,40,173,221,152,88,84,100,239,246,243,243,243,244,244,191,198,202,207,212,218,222,226,227,248,233,170,161,140,69,103,246,199,127,77,103,249,246,246,246,247,246,246,192,198,203,208,212,217,223,228,227,255,243,183,128,106,91,183,255,211,156,106,104,251,247,248,248,249,247,247,194,200,204,208,214,218,221,228,229,255,237,173,131,137,143,255,247,190,153,111,103,255,249,248,250,249,249,249,195,202,206,210,215,220,224,229,233,255,229,175,165,141,195,255,225,176,128,88,127,255,248,250,250,252,252,251,196,203,208,212,217,222,227,231,233,252,224,172,170,137,221,255,202,159,121,78,160,255,249,253,253,255,255,255,197,202,208,213,217,222,228,231,232,244,222,171,183,150,237,255,188,144,111,78,171,255,253,255,255,255,255,255,196,202,209,212,216,223,227,232,234,235,222,181,202,155,227,237,180,137,105,71,189,255,253,255,255,255,255,255,196,202,208,213,217,221,227,232,237,231,222,189,204,158,214,212,163,128,98,73,212,255,254,255,255,255,255,255,198,203,209,214,219,222,227,232,236,236,229,194,189,148,190,188,142,126,95,86,234,255,255,255,255,255,255,255,198,204,209,215,220,223,228,234,235,235,229,188,155,132,181,159,137,131,88,133,255,254,255,255,255,255,255,255,197,204,209,215,219,224,228,233,230,237,233,193,162,157,189,141,152,115,78,216,255,255,255,255,255,255,255,255,198,203,209,214,219,223,229,233,226,242,243,208,190,168,184,135,154,81,138,255,254,255,255,255,255,255,255,255
4,127,131,134,139,142,147,153,157,158,160,166,166,168,171,175,175,175,176,177,179,180,181,180,179,180,180,179,178,128,133,136,140,144,149,156,159,160,163,166,168,173,173,175,179,182,177,180,182,181,183,183,182,183,183,181,180,130,136,137,141,146,152,156,158,164,166,168,177,170,184,168,124,156,189,177,181,188,184,185,185,185,184,183,183,132,137,139,144,148,153,158,161,163,170,159,151,177,217,186,125,94,166,154,107,163,193,184,187,188,186,185,185,134,139,141,146,151,156,160,160,178,212,168,142,143,214,191,163,119,100,158,98,80,183,191,190,191,190,189,189,137,139,141,146,152,157,165,154,205,250,206,183,119,169,211,164,138,72,142,127,75,135,202,188,191,192,190,190,138,140,142,147,154,159,161,159,193,225,242,207,150,119,219,177,137,65,135,135,81,124,206,191,193,194,193,192,138,141,145,150,157,156,177,188,172,169,190,220,153,80,161,186,116,60,125,134,71,120,206,191,193,193,194,193,140,142,146,151,159,151,213,236,212,194,146,122,118,63,90,135,83,59,101,110,62,136,206,192,196,195,194,194,140,142,147,152,160,153,221,216,211,203,143,67,69,65,49,96,62,28,63,60,49,162,203,195,199,197,196,196,140,142,147,152,160,159,209,138,132,155,105,59,48,82,31,78,86,107,141,72,39,185,201,195,199,198,197,198,143,145,147,154,160,163,201,116,52,107,115,65,46,72,74,102,162,205,180,107,58,142,209,201,197,201,200,199,144,147,148,155,162,162,200,142,105,84,125,84,83,135,147,161,191,200,148,100,88,71,120,193,207,200,201,201,145,147,150,156,163,161,199,164,132,89,80,59,86,169,136,154,165,149,109,93,98,94,76,84,162,209,200,202,145,150,152,158,165,162,195,182,120,78,61,47,38,101,102,106,101,93,78,89,95,96,96,79,69,191,207,202,147,149,154,159,167,162,193,194,134,107,85,68,45,33,63,86,93,81,63,72,93,106,96,90,73,169,211,201,148,149,153,160,167,164,189,210,170,116,91,74,60,52,80,137,144,138,129,104,99,123,98,86,92,189,209,202,147,151,154,161,167,167,186,209,170,130,120,92,74,63,109,177,195,196,186,154,126,115,98,84,132,210,205,206,147,151,155,162,167,168,183,213,173,159,142,100,82,73,120,201,208,201,180,146,121,96,88,92,183,212,206,208,149,150,155,162,167,170,180,206,177,172,142,93,85,83,120,203,194,182,167,140,110,94,84,118,212,208,209,208,151,151,156,162,166,173,177,200,179,162,131,89,92,91,122,186,172,164,156,130,100,95,89,160,219,209,209,210,151,150,156,162,169,175,176,197,182,158,123,92,104,102,139,174,161,158,141,113,94,95,104,196,213,209,211,212,149,152,158,165,170,174,178,190,189,156,118,111,131,113,142,160,153,144,115,96,93,91,146,216,210,212,213,211,151,151,157,165,170,174,180,185,186,155,131,137,136,117,115,134,128,116,95,89,91,107,197,214,213,213,213,211,151,152,158,165,171,176,181,184,190,167,142,137,124,106,90,98,97,91,88,98,90,150,220,214,215,215,214,212,150,152,159,165,170,176,182,183,191,187,140,116,105,92,88,90,90,90,93,100,77,162,223,213,215,214,213,214,152,154,161,166,172,177,182,186,187,192,144,98,84,83,85,95,93,92,93,94,64,137,226,212,214,216,216,216,153,155,160,166,171,176,182,188,187,186,161,109,97,100,101,103,98,90,91,88,70,115,223,212,214,216,218,217
13,135,138,145,154,161,165,170,173,176,179,184,187,190,193,194,197,199,200,199,200,201,203,202,201,202,201,200,200,136,141,148,156,164,168,173,175,178,181,186,190,193,197,198,196,197,201,207,204,204,203,204,204,205,204,203,203,138,143,151,159,165,171,174,178,181,184,189,193,195,196,203,217,218,169,152,206,204,212,206,208,208,206,205,204,141,145,153,162,168,174,177,182,186,188,192,195,199,202,208,248,232,161,89,97,139,159,210,208,208,207,208,207,142,148,155,162,169,174,178,183,187,193,192,198,204,157,154,177,227,158,85,59,143,92,123,222,207,210,209,208,144,149,157,163,171,175,178,185,188,192,192,241,226,173,123,120,206,205,113,75,155,90,89,222,210,211,211,209,147,152,159,166,173,178,182,185,192,196,135,189,253,219,164,69,130,234,126,71,166,93,111,227,212,214,212,212,147,152,160,168,175,181,185,182,230,216,145,78,200,249,187,97,39,160,122,69,204,106,144,229,212,216,215,214,148,154,162,171,177,183,181,221,234,233,194,99,92,250,179,107,15,39,56,61,190,101,195,224,215,217,217,217,149,156,166,173,178,181,203,222,172,230,211,129,41,202,166,92,20,15,62,112,136,78,147,232,216,219,219,218,150,159,170,176,180,184,238,221,157,194,181,113,35,157,167,105,17,49,140,154,125,107,86,211,225,220,221,219,154,162,173,181,180,201,234,195,144,174,148,89,15,125,200,124,37,165,196,161,106,87,84,142,236,219,221,221,156,165,177,184,182,224,227,190,134,140,136,89,3,74,201,95,114,223,187,152,109,86,73,116,240,222,223,224,157,168,180,187,184,232,245,209,164,105,121,76,13,66,194,162,211,206,173,135,102,79,48,167,236,223,228,227,160,173,185,193,188,240,249,213,175,113,87,85,125,193,231,236,223,190,154,119,97,61,71,227,228,227,229,229,167,179,188,197,195,250,255,224,174,150,151,156,181,216,230,224,212,175,140,113,85,41,133,246,225,230,230,229,171,182,191,199,202,252,255,239,187,179,174,150,202,207,230,218,194,162,133,103,74,33,184,242,229,232,231,230,175,186,196,203,207,242,251,249,208,195,179,162,216,217,216,204,171,143,113,93,50,71,241,234,234,234,232,232,178,189,202,208,210,227,252,247,222,201,179,172,204,225,200,177,149,126,108,77,42,197,247,235,236,236,237,236,182,192,204,211,213,217,245,236,230,207,190,178,188,213,194,160,135,111,100,50,168,255,236,239,239,239,237,236,186,196,206,212,219,214,235,239,231,224,213,188,180,203,185,145,113,104,67,123,255,240,243,244,243,239,246,250,187,200,211,216,224,213,225,245,231,227,216,183,172,185,168,126,94,88,77,234,249,245,247,246,243,252,221,148,191,204,214,220,224,219,225,232,193,199,200,179,165,172,149,121,96,60,169,255,246,249,246,249,255,158,45,17,194,206,215,221,226,223,227,236,191,209,213,200,167,162,140,126,88,68,229,251,252,251,255,255,139,34,18,4,195,206,214,220,226,222,220,252,207,223,224,203,166,150,140,128,83,83,248,251,253,255,209,104,28,35,37,0,195,207,216,222,226,229,222,254,231,246,234,206,173,150,138,129,76,95,255,246,255,180,44,15,2,31,45,9,198,211,219,224,228,234,200,251,243,244,228,197,174,155,139,126,74,83,252,255,231,69,37,38,0,1,36,26,200,213,221,226,230,236,104,233,241,234,216,191,179,157,145,112,76,40,247,255,113,45,34,31,8,0,19,32
24,185,186,187,187,188,189,189,190,189,189,189,189,189,189,188,187,186,184,183,184,182,180,179,179,177,176,173,171,188,189,190,191,192,192,192,192,193,193,192,193,192,192,192,192,191,189,187,186,185,184,183,181,180,179,177,175,191,192,194,194,194,194,195,196,195,194,195,195,195,195,195,194,193,192,191,189,188,186,187,188,183,182,181,178,194,195,196,197,198,199,200,199,198,198,198,198,198,198,198,196,195,194,193,192,191,192,170,166,191,185,184,182,198,198,200,200,199,200,200,201,200,200,200,199,200,200,200,199,198,197,195,195,192,197,163,114,190,188,185,184,201,201,201,202,204,202,202,203,203,208,203,202,202,201,201,200,200,199,199,198,194,204,167,110,188,192,188,185,203,204,204,206,207,206,206,208,197,165,205,206,205,206,205,203,202,201,201,200,197,207,158,114,194,194,191,188,205,206,207,207,207,207,207,209,189,121,163,216,207,209,208,207,206,204,203,201,202,211,149,123,201,193,193,191,207,208,209,209,210,208,208,212,190,142,120,214,209,210,211,210,208,207,206,201,210,210,142,135,207,195,195,193,209,210,211,212,212,212,212,213,207,166,106,195,217,210,212,210,208,208,208,208,217,193,119,151,211,198,198,196,211,212,213,213,214,214,214,213,214,183,111,163,225,211,213,215,216,212,208,197,219,185,99,173,210,201,202,199,213,214,215,215,215,215,215,214,217,200,141,125,223,214,217,199,180,209,199,142,132,172,111,202,207,204,202,200,215,215,217,216,217,216,217,216,219,207,163,100,199,224,205,184,157,155,163,142,106,112,127,216,207,207,205,202,216,218,218,219,219,219,219,219,220,214,175,113,157,231,194,195,171,159,146,161,161,79,141,222,206,208,206,204,219,219,220,221,221,221,221,221,220,219,194,157,120,201,180,208,172,162,164,168,152,82,166,221,209,209,207,206,220,221,221,221,222,222,222,221,220,222,209,172,113,147,153,202,193,132,117,148,169,104,141,225,210,212,209,207,221,222,222,222,223,223,223,223,224,226,215,189,172,144,134,168,192,121,60,139,187,131,98,213,214,212,210,209,222,224,225,225,225,225,225,225,225,228,217,214,190,131,97,142,171,104,67,121,196,174,99,149,226,211,212,212,225,226,227,227,227,227,228,227,226,228,221,211,170,130,107,144,159,104,83,193,208,191,119,105,222,213,213,212,227,227,228,228,229,229,229,229,229,229,227,211,191,179,135,140,174,119,154,222,202,173,103,115,224,214,214,212,227,228,228,228,230,231,230,230,231,231,231,211,206,194,142,137,136,146,223,215,184,161,85,137,231,215,216,215,227,228,228,229,230,230,230,230,230,231,233,208,205,206,167,141,117,206,225,208,177,150,83,162,232,214,216,215,227,228,229,230,230,229,230,230,231,232,232,214,198,196,180,153,125,206,216,197,170,138,80,183,227,214,215,214,228,229,229,230,230,230,231,232,233,231,234,215,191,191,188,172,132,189,219,191,155,117,82,204,223,216,216,214,229,229,229,230,231,232,233,232,233,233,235,224,194,195,189,189,143,169,213,180,141,92,102,228,219,219,217,214,230,230,230,232,233,233,233,231,232,234,233,234,205,200,189,193,145,136,189,150,116,65,141,235,218,220,217,217,224,227,229,232,233,235,236,236,239,241,239,243,214,203,192,180,148,126,151,138,98,65,196,231,221,223,223,209,143,147,151,155,158,163,169,172,176,181,185,187,204,208,185,171,162,135,138,145,80,105,222,213,215,203,155,102
18,126,128,131,133,137,142,147,151,155,158,163,164,165,170,170,172,175,175,176,178,178,178,179,180,179,178,178,178,127,130,132,135,138,143,148,152,158,161,163,165,167,169,170,173,176,177,178,180,181,181,182,180,180,180,178,179,127,131,134,134,138,145,151,155,160,162,164,168,170,172,173,176,178,178,179,180,182,181,181,185,183,182,180,180,127,132,134,136,140,145,152,158,161,163,166,169,171,173,175,177,178,178,179,181,181,184,181,129,183,181,182,182,129,132,135,138,142,144,152,158,162,164,167,170,172,176,177,179,178,178,181,183,178,204,186,78,110,201,188,181,132,135,136,138,144,149,154,159,163,166,170,172,173,177,178,179,179,181,183,192,168,195,192,112,69,123,168,191,133,135,137,139,145,151,156,161,164,167,171,173,175,179,183,179,187,157,122,155,164,157,210,166,121,71,65,122,133,136,138,141,146,152,157,161,165,167,170,173,175,177,157,185,203,146,127,64,135,158,209,183,132,119,115,68,133,137,139,141,146,152,158,161,168,170,172,168,186,188,131,93,180,163,142,75,104,158,170,178,156,135,116,91,135,137,140,143,147,152,159,163,168,172,172,177,208,191,165,78,141,189,134,88,57,146,110,105,155,150,117,100,135,138,141,145,150,154,160,166,170,173,170,212,227,198,171,107,100,189,137,96,36,99,89,40,190,182,136,108,137,142,142,145,152,157,161,167,172,174,179,212,224,208,170,120,68,172,128,83,23,35,60,40,176,199,150,105,137,142,142,146,152,157,163,168,174,168,194,230,209,184,173,115,51,117,95,62,29,5,20,6,164,193,160,107,137,141,143,147,153,158,164,169,173,174,222,220,198,150,123,79,44,81,71,59,6,0,87,74,185,201,147,106,140,143,144,147,154,159,165,171,167,196,233,184,173,145,61,52,45,75,88,46,42,164,196,148,144,175,124,97,142,144,145,149,156,163,167,172,170,191,250,217,162,112,75,78,40,112,128,109,198,205,181,157,96,142,107,92,142,144,146,150,157,163,168,174,174,188,247,224,182,113,103,102,42,122,163,208,213,180,150,158,102,106,113,87,142,145,147,152,157,164,170,176,172,200,249,226,194,157,134,135,99,117,228,218,187,160,138,148,139,87,108,71,143,147,147,152,158,164,170,178,173,210,247,219,171,157,126,109,137,227,223,194,172,159,152,147,145,95,82,58,145,147,148,153,160,165,170,177,173,216,245,208,174,158,128,124,189,235,213,183,175,172,140,142,133,89,57,34,146,149,149,154,162,168,172,176,174,220,237,207,174,179,133,176,196,214,201,171,175,153,117,141,118,74,47,8,147,150,150,156,162,167,172,178,176,220,232,211,199,184,142,161,189,184,184,158,158,131,123,136,91,60,18,76,147,149,151,155,162,169,174,179,178,215,227,207,208,170,137,128,167,164,165,154,144,125,123,95,63,35,31,193,146,149,151,157,163,171,175,180,178,215,229,214,203,155,106,138,150,161,164,150,140,116,93,54,44,8,145,219,147,150,151,159,164,170,175,182,182,208,222,214,173,120,110,149,148,165,165,150,123,103,72,54,16,76,221,204,149,150,150,157,164,170,174,181,182,211,205,191,172,160,157,152,147,171,159,134,100,86,66,33,20,192,214,206,149,149,152,158,164,175,184,179,187,230,223,215,210,195,174,149,136,165,148,118,87,68,48,17,160,220,206,210,149,151,155,160,171,147,131,173,197,234,222,222,207,187,158,149,134,152,137,107,81,61,20,113,230,207,211,212
6,228,229,229,229,230,230,232,232,232,232,232,232,231,230,231,231,228,227,229,229,226,223,224,224,222,220,219,219,229,231,231,231,231,232,233,234,234,234,234,234,234,233,234,233,231,230,228,229,229,225,225,224,223,223,221,220,231,232,234,233,234,234,234,235,236,236,237,237,237,237,237,236,235,233,231,230,230,229,226,225,222,223,222,219,231,233,234,235,236,236,235,236,238,238,238,238,236,237,238,237,236,234,232,232,231,229,228,227,225,225,224,222,234,235,235,238,238,237,237,238,238,238,237,238,240,239,239,239,237,237,236,235,233,232,231,229,228,228,225,223,237,237,238,239,240,240,238,238,238,238,238,238,240,240,238,238,238,237,237,237,235,235,233,231,230,229,226,226,237,238,240,240,239,240,241,241,240,240,239,240,242,242,241,240,239,239,237,238,235,235,233,231,230,229,229,229,240,241,242,242,241,242,243,242,241,241,242,244,244,245,245,244,242,242,239,239,239,239,235,235,231,227,229,229,242,242,242,243,243,243,244,247,246,246,240,238,243,242,241,240,241,240,243,231,236,229,231,226,224,251,237,226,243,243,244,244,247,250,252,254,249,241,220,201,226,239,243,240,245,238,229,230,233,228,234,226,228,255,213,224,247,248,250,250,251,245,239,241,244,240,234,186,172,212,225,225,222,215,209,207,200,200,199,198,192,190,207,236,248,243,243,243,242,234,233,238,238,238,240,194,144,140,139,158,163,172,177,178,188,197,203,205,211,224,238,234,239,234,234,233,229,223,225,222,215,209,195,167,153,150,128,160,225,235,239,243,245,247,249,245,244,248,245,243,238,230,222,216,215,219,219,211,208,215,214,167,141,146,163,156,185,248,255,247,246,245,243,244,239,213,197,196,236,225,213,210,212,212,215,215,218,234,239,183,140,128,149,163,147,155,235,252,247,247,246,244,175,137,136,132,233,223,210,201,198,202,212,218,224,222,208,185,159,152,146,144,156,143,177,255,248,244,255,205,135,146,141,136,235,227,216,207,201,201,203,206,222,228,191,161,164,170,167,153,145,136,185,253,244,249,245,168,137,134,131,133,230,226,219,212,207,207,204,200,207,225,209,160,129,153,179,179,158,132,223,255,252,247,161,132,120,103,95,81,224,225,223,217,210,209,210,209,220,229,196,162,149,143,150,167,174,147,191,212,177,153,123,119,106,89,80,71,211,226,228,226,217,213,211,207,212,222,200,171,165,170,158,144,152,152,142,137,132,120,112,102,94,84,75,74,131,209,233,223,220,219,211,206,195,194,191,177,187,185,173,168,148,118,113,128,130,120,111,100,88,81,72,69,58,99,199,207,191,187,180,178,178,160,150,132,154,171,182,176,146,105,85,112,114,106,106,106,96,81,69,66,62,54,76,184,215,215,223,231,244,242,141,125,128,152,167,143,139,110,83,86,107,101,96,104,106,85,71,64,51,35,114,226,231,231,234,236,236,240,219,191,181,169,133,105,140,106,78,70,87,96,91,96,106,94,73,64,39,38,132,146,141,143,146,147,149,152,157,158,171,165,110,95,136,106,70,70,79,85,86,91,102,98,75,65,42,37,123,145,140,139,140,140,142,139,135,149,161,150,99,89,126,98,68,69,77,79,80,84,93,96,78,65,42,34,140,151,147,149,148,144,144,147,155,146,123,117,103,82,119,91,70,59,72,75,76,80,86,93,85,68,26,55,155,148,149,148,150,149,149,145,133,119,115,102,99,83,110,88,69,63,65,68,71,76,83,90,86,71
15,120,122,121,122,125,127,128,130,134,138,147,159,171,181,189,195,198,200,201,206,210,215,217,219,223,225,226,229,123,122,121,123,125,129,128,131,134,137,147,161,172,182,187,194,198,200,203,206,211,215,219,221,224,226,228,231,125,121,122,122,124,129,130,132,134,138,151,162,171,183,188,194,199,202,206,207,212,215,220,222,223,227,230,231,125,122,122,122,124,127,121,128,136,140,151,162,171,181,189,196,200,203,206,209,214,217,221,223,226,229,233,235,124,122,122,123,121,123,173,149,130,135,151,164,176,182,189,198,200,202,205,208,214,216,222,224,226,231,233,236,123,121,121,124,115,146,252,218,187,161,153,161,171,183,194,199,202,202,204,209,214,219,222,225,229,231,232,235,124,122,122,123,118,133,215,222,205,211,194,189,176,172,180,190,195,201,206,213,219,221,223,225,229,231,233,236,123,123,123,124,124,120,140,177,161,180,195,203,202,197,180,180,177,182,185,189,199,212,222,231,228,233,234,237,123,122,122,123,124,126,125,133,136,151,164,162,188,204,197,192,187,192,196,187,167,162,151,196,239,231,238,239,123,121,122,123,124,126,130,132,132,142,150,146,155,180,178,175,167,185,213,218,194,172,147,114,197,245,234,240,122,122,121,122,123,125,129,133,132,142,157,167,173,174,172,172,152,183,210,214,201,188,180,141,126,219,242,237,124,122,121,122,124,126,128,131,132,141,156,166,178,188,191,190,183,221,216,208,212,208,197,176,143,130,229,244,124,122,122,122,123,126,128,130,134,143,151,168,179,184,198,201,223,249,200,186,226,204,210,202,171,122,136,240,123,122,122,122,124,127,127,131,134,136,185,193,186,187,176,198,239,196,182,154,232,185,221,222,177,145,110,154,121,122,122,122,124,124,126,130,131,138,222,212,212,220,204,167,175,155,117,128,219,166,225,223,179,150,126,108,122,121,121,121,122,125,127,129,132,141,183,186,217,244,222,172,171,174,140,141,186,185,217,214,181,156,128,119,122,121,121,120,119,124,126,128,132,141,155,171,199,227,195,175,198,189,184,186,178,176,161,180,171,149,126,119,119,119,118,119,119,120,122,125,129,140,156,166,181,179,157,180,199,191,191,204,201,172,128,133,147,136,129,123,118,114,117,117,119,120,120,123,127,140,156,167,166,216,189,149,167,192,200,204,201,163,126,124,130,127,130,132,118,114,115,116,118,119,122,123,128,139,154,170,162,240,237,152,89,109,175,190,192,157,128,131,130,127,134,133,118,115,114,115,117,117,121,122,128,141,154,169,167,224,223,147,92,79,98,166,165,136,127,131,132,131,134,135,118,115,114,114,116,118,120,120,127,141,154,169,166,221,225,127,119,127,84,128,163,133,131,135,141,138,135,131,114,113,111,112,115,118,120,118,125,136,152,166,168,213,223,110,170,151,130,138,157,174,157,153,144,139,134,128,113,112,110,110,113,115,117,119,124,137,150,163,164,214,231,95,169,210,123,175,162,166,143,137,132,130,131,130,106,105,103,102,106,105,108,109,113,129,145,159,158,222,217,96,150,241,140,139,217,128,130,124,112,117,119,120,172,168,164,160,157,156,154,155,157,162,170,176,176,203,155,115,190,216,142,160,227,190,211,176,102,98,100,99,150,149,147,147,144,146,149,152,153,150,147,142,140,148,121,131,157,153,140,155,160,165,161,161,127,104,104,114,137,135,135,134,133,133,134,133,133,135,134,128,127,132,138,139,134,133,138,137,134,132,132,133,138,133,139,137
24,152,154,155,157,158,161,162,162,163,165,162,163,162,163,162,161,161,162,161,160,160,159,158,155,155,156,155,154,153,155,157,159,160,162,164,164,163,165,164,165,164,164,163,164,163,163,162,161,161,161,160,159,157,155,154,154,154,155,158,158,164,164,164,165,165,166,166,166,166,165,166,165,165,163,162,163,162,161,160,160,159,155,155,155,155,158,158,163,144,161,166,167,167,167,168,167,167,167,167,166,166,164,163,163,162,162,161,161,160,158,157,156,157,159,161,177,105,149,171,167,167,168,169,168,168,167,167,166,167,166,165,165,163,163,162,162,161,159,158,159,159,159,167,165,96,151,171,168,169,169,171,172,169,167,169,168,168,167,166,166,165,164,163,162,161,159,159,160,159,158,169,161,95,150,172,169,170,170,166,161,173,170,169,170,169,167,166,168,167,169,166,162,162,162,160,160,160,160,171,167,98,151,176,170,173,176,172,126,131,172,172,170,170,169,168,157,145,131,156,166,163,162,162,161,161,161,171,164,101,139,171,168,141,168,181,156,98,108,173,172,170,169,149,115,101,85,128,172,164,163,162,163,161,162,170,161,159,158,157,184,123,132,187,161,101,74,129,179,171,164,119,86,95,135,160,169,166,165,164,163,163,163,170,179,195,175,177,189,142,118,184,154,92,69,88,167,179,149,97,90,164,175,170,168,167,166,166,165,163,166,170,171,201,177,183,192,143,89,145,118,85,58,86,158,164,119,85,144,178,168,169,169,168,167,167,166,165,167,169,177,205,178,192,198,140,86,46,109,143,129,151,159,126,91,109,179,172,172,171,171,169,169,167,166,165,168,168,199,197,161,166,180,118,73,89,181,180,167,153,146,110,85,160,179,173,174,173,172,170,169,167,167,166,167,173,187,173,148,113,114,93,140,200,191,172,155,136,124,101,113,182,175,175,175,174,173,172,170,169,168,168,166,183,185,170,151,126,87,163,214,199,190,169,142,120,108,93,153,184,175,175,176,175,173,173,172,170,169,169,165,191,200,177,152,142,166,218,204,197,185,156,127,109,101,99,176,180,177,176,176,176,175,174,173,172,170,169,167,199,204,183,170,181,214,212,204,193,171,141,111,108,86,129,188,179,179,179,178,176,176,175,173,172,171,169,167,203,205,190,190,209,215,205,197,180,153,121,105,97,96,176,185,181,180,179,179,177,176,176,174,174,172,169,167,202,210,194,202,217,205,185,175,158,131,111,102,91,160,189,182,182,181,179,179,178,177,176,176,175,173,171,168,200,216,198,191,197,190,171,155,140,113,104,87,153,191,183,182,182,182,180,180,179,178,177,176,175,174,171,169,192,209,190,187,196,194,175,157,135,109,80,109,189,185,186,185,183,182,181,181,182,180,178,177,177,175,170,172,181,187,175,190,195,191,175,152,130,98,65,147,192,185,186,186,185,183,181,181,181,181,180,179,178,175,170,174,175,183,190,196,189,182,175,148,123,86,76,172,190,186,187,187,187,185,182,182,182,181,181,179,178,177,169,172,172,193,201,187,185,178,167,144,121,83,86,183,187,186,186,186,185,183,182,182,182,181,180,179,178,177,168,171,171,197,198,176,189,169,159,143,119,90,80,177,187,185,185,186,183,182,183,183,181,180,179,179,177,176,169,172,170,203,199,175,191,165,161,144,114,90,74,167,191,186,186,187,184,182,182,182,181,180,179,179,177,175,168,172,172,204,202,181,191,173,159,141,113,92,71,158,192,186,188,185,185,184,182,182,181,181,180,179,178,176
7,173,173,175,176,176,176,175,175,176,176,174,173,174,172,172,171,170,169,168,168,167,167,165,169,142,60,51,61,174,174,176,177,177,177,178,177,176,176,176,175,175,174,177,173,172,171,169,167,169,166,164,170,161,130,111,102,175,176,178,180,180,180,180,179,179,179,177,175,177,170,155,165,168,164,154,154,150,153,173,162,140,100,164,162,177,179,180,181,180,181,181,180,179,178,179,180,181,172,152,157,174,170,152,148,143,146,177,146,130,125,182,132,179,180,181,181,181,181,181,181,184,188,194,194,189,168,158,162,149,140,143,131,132,121,119,139,153,134,128,111,180,181,182,183,184,183,176,181,192,198,198,190,183,176,174,170,149,119,143,151,139,134,125,126,112,132,127,155,181,182,185,183,195,198,184,180,185,188,185,182,181,179,179,165,148,136,143,149,140,140,135,119,100,126,125,133,182,183,185,187,211,203,192,180,181,187,186,184,183,180,177,165,146,134,123,116,110,111,105,100,96,98,113,163,184,186,184,199,214,203,184,164,169,182,186,182,175,162,149,134,120,126,120,122,128,137,139,139,148,156,162,156,186,187,185,211,209,199,172,158,171,166,158,152,140,133,126,115,111,133,190,184,183,184,183,182,179,176,177,144,188,184,197,216,206,195,181,176,168,155,156,160,158,152,148,145,152,103,112,176,182,179,179,177,175,173,173,172,188,185,213,213,209,205,205,193,164,162,166,164,159,147,143,140,134,109,51,109,190,180,181,179,177,176,174,174,184,196,218,213,211,211,212,193,150,151,157,153,148,139,134,126,116,99,62,84,188,181,182,181,179,177,176,174,188,213,216,215,212,209,204,180,154,147,128,111,109,123,133,140,147,126,72,139,188,181,183,182,180,180,177,174,205,218,216,214,212,204,195,180,165,149,132,123,137,165,164,148,153,136,132,195,182,183,183,182,181,180,178,175,214,217,217,214,207,199,190,171,156,163,152,145,160,158,147,139,137,109,133,195,184,185,184,183,182,180,179,177,216,217,215,212,203,190,167,159,174,179,157,149,151,143,139,132,123,84,150,194,187,187,184,183,183,181,180,178,216,216,213,208,196,178,176,186,192,181,164,142,127,114,104,90,86,119,187,189,189,189,187,184,183,182,180,178,215,211,205,198,191,188,191,188,183,169,145,123,95,129,108,120,163,191,192,191,189,188,187,186,183,182,180,179,210,204,197,195,192,196,188,173,169,159,142,109,135,197,196,198,198,192,192,190,188,188,188,187,184,183,182,179,201,195,197,194,189,187,180,169,167,148,107,132,201,196,194,194,193,194,194,191,190,188,188,188,186,184,183,181,193,186,189,188,180,175,170,163,145,107,119,199,197,196,195,194,194,194,193,191,191,191,189,188,186,185,181,178,191,187,182,175,165,161,155,142,104,112,193,199,194,195,195,194,193,194,192,191,190,189,188,187,183,185,185,173,189,182,171,158,146,143,129,97,115,191,201,198,197,197,195,194,193,193,192,191,191,190,187,185,192,165,104,143,172,160,147,131,123,108,88,125,196,202,198,199,198,198,196,195,194,194,193,191,190,188,190,192,173,94,50,56,152,140,132,125,106,105,154,203,200,198,199,199,198,198,196,195,195,194,192,192,196,197,180,131,77,57,54,50,147,144,128,106,105,196,207,198,198,199,199,199,198,198,197,195,195,196,198,190,165,126,80,57,55,59,54,52,164,154,129,95,117,209,197,200,198,198,199,199,198,197,196,194,190,182,147,101,64,46,51,54,50,51,52,52
1,12,36,40,48,57,75,87,97,102,106,109,110,114,119,123,123,125,130,129,129,132,133,133,135,135,136,136,136,17,36,41,49,59,80,90,97,103,107,111,113,115,120,120,137,108,93,136,134,132,135,136,136,136,136,136,136,23,36,43,50,61,81,91,98,104,108,112,115,119,122,123,151,95,59,116,112,138,135,137,138,138,138,138,138,28,37,44,52,64,83,91,100,105,110,113,115,119,129,109,143,93,81,109,71,140,137,138,139,140,139,138,139,30,38,45,53,66,85,94,102,106,111,115,116,121,141,86,136,88,91,122,66,132,140,139,140,140,140,140,140,32,39,45,53,68,87,96,103,108,113,116,114,133,133,84,143,90,94,125,62,126,144,140,142,143,143,142,142,34,41,46,55,71,89,96,104,109,113,118,116,140,123,77,138,86,96,132,68,124,147,142,144,143,144,144,144,36,41,48,57,74,90,98,106,110,112,132,111,120,113,79,141,87,93,124,66,122,149,144,146,145,146,146,145,36,41,48,58,76,89,99,107,110,114,144,83,120,99,101,147,81,97,136,65,120,151,145,147,147,147,147,147,37,43,50,58,79,90,99,108,109,126,138,68,124,85,124,142,73,114,149,68,121,152,147,148,148,148,150,149,38,43,51,61,82,92,99,109,107,144,120,72,139,86,112,117,57,120,134,65,126,153,149,149,150,150,150,150,39,44,52,63,82,93,101,109,111,154,101,71,129,63,101,99,52,132,125,61,132,153,150,150,151,151,151,151,39,46,54,64,84,93,103,107,120,158,92,63,113,102,104,111,126,135,118,59,137,153,152,153,152,152,152,152,41,47,54,67,86,94,105,104,137,151,87,79,120,145,103,117,127,121,106,58,140,154,152,154,153,153,153,153,42,47,55,69,88,96,105,104,150,151,132,122,141,141,134,122,105,99,85,56,139,155,152,154,155,156,155,155,42,48,56,70,88,97,104,111,164,135,121,123,116,106,148,150,136,107,79,54,140,156,153,156,156,157,156,156,44,50,56,71,89,99,100,134,164,115,92,85,69,67,140,142,137,122,93,53,140,156,154,156,156,157,158,157,44,50,57,74,91,100,99,149,154,109,105,111,97,132,157,146,123,105,82,40,126,162,156,157,158,158,159,158,44,51,58,76,93,100,100,153,159,125,107,111,138,181,162,136,115,79,64,36,93,168,156,159,159,159,159,159,44,51,58,77,91,101,102,150,171,139,118,112,144,186,166,131,108,72,51,37,78,167,156,160,160,160,160,160,45,52,59,78,90,100,103,143,172,139,125,116,138,178,157,130,98,71,49,33,103,168,157,161,161,160,161,161,46,54,62,80,92,102,105,135,168,138,131,119,125,164,149,121,90,68,48,45,147,164,160,161,162,163,163,163,46,53,62,81,93,101,107,125,163,144,141,129,140,158,131,104,79,63,39,87,168,161,163,163,164,164,164,164,46,54,62,83,92,101,110,117,149,145,139,126,139,144,115,91,73,58,38,130,167,162,163,164,165,165,166,165,47,54,63,83,94,104,111,114,138,142,135,122,113,119,105,84,75,53,48,151,165,164,165,166,166,166,166,166,46,51,61,81,91,102,110,113,125,139,132,121,112,114,111,95,75,45,64,162,160,162,164,166,166,166,165,165,45,51,61,81,89,99,109,114,127,144,140,130,123,112,111,99,71,40,89,168,158,161,163,164,164,165,165,165,44,50,62,80,89,100,109,112,157,144,135,141,125,110,92,84,67,32,91,169,157,162,164,165,165,165,166,166
18,153,156,158,158,160,161,163,165,165,165,166,169,169,169,170,172,172,173,173,175,174,175,175,174,173,173,174,174,154,156,159,160,161,162,164,165,166,167,168,169,169,170,172,173,174,173,173,174,175,176,177,176,175,175,174,174,156,157,159,161,163,163,164,166,166,167,168,169,169,170,172,175,177,173,173,174,173,175,177,177,177,175,174,174,156,157,161,162,163,164,164,166,168,168,169,169,171,171,173,163,158,179,174,177,176,176,178,177,177,177,177,177,156,158,163,162,162,164,165,166,168,170,171,172,176,172,183,160,116,148,180,176,176,179,176,176,177,177,178,178,156,158,162,162,163,163,166,167,167,170,172,165,152,171,176,171,120,80,158,179,159,149,172,179,178,178,177,177,156,157,161,162,164,164,168,170,169,173,185,167,130,132,181,156,134,92,106,143,135,120,123,186,178,179,178,178,157,158,161,163,163,164,166,166,160,186,187,167,137,116,195,172,159,127,94,99,122,118,84,167,182,178,179,178,158,159,162,164,164,163,179,169,127,166,189,161,133,132,194,193,176,135,98,85,108,108,76,140,189,178,180,179,159,160,162,165,162,176,197,169,124,152,190,161,124,149,185,187,174,136,94,74,90,100,72,142,189,178,180,180,160,161,162,164,162,184,199,170,125,141,190,164,115,162,185,185,170,133,93,65,78,88,72,157,187,179,180,181,160,162,163,164,165,175,190,173,128,131,189,162,103,131,172,193,167,127,90,66,71,74,85,174,184,179,181,180,160,162,164,161,172,187,172,170,137,115,171,151,102,67,143,199,159,122,84,68,66,66,108,189,180,182,182,183,160,162,164,166,177,170,151,143,130,85,123,122,91,31,159,201,157,116,81,69,70,69,123,191,178,182,182,184,161,162,161,175,189,157,144,118,101,74,97,111,63,76,201,187,153,118,85,63,71,69,136,192,181,184,183,184,162,164,162,177,197,168,148,125,121,76,98,111,127,187,200,178,148,118,87,73,75,78,169,186,183,184,184,184,162,165,159,188,194,166,148,129,122,104,109,159,212,188,175,170,143,110,84,76,65,100,191,181,183,183,183,183,164,163,163,201,186,166,148,133,130,131,150,212,206,181,157,156,133,99,80,79,74,157,188,182,182,182,182,181,164,161,172,205,181,166,158,141,138,134,193,214,199,173,144,143,123,88,83,74,141,190,181,184,183,183,182,181,164,160,180,205,180,173,166,141,143,173,212,205,188,166,137,130,114,86,74,116,191,182,184,184,184,184,183,183,165,161,182,205,184,178,170,143,162,199,201,196,181,153,130,121,103,79,84,178,185,183,183,183,184,184,184,184,165,163,177,202,187,181,169,152,174,199,191,179,176,142,124,112,94,69,139,191,183,184,184,184,184,184,185,184,165,163,174,202,189,180,167,164,173,195,179,172,156,139,113,104,83,90,185,183,184,184,185,185,186,184,183,184,166,162,179,198,182,173,164,168,172,185,167,169,142,133,104,96,69,131,194,182,185,185,185,186,186,185,183,183,165,161,185,185,169,167,161,167,175,174,156,167,152,118,100,89,73,168,187,183,184,185,185,186,186,186,184,184,165,162,186,168,161,164,162,165,175,168,156,167,150,112,95,75,111,193,181,185,185,185,185,186,186,185,184,185,165,162,195,180,170,171,174,172,180,161,153,157,135,107,86,82,173,186,185,186,186,185,186,186,187,185,184,186,163,165,203,189,172,175,181,176,183,146,145,144,120,99,75,145,192,184,185,185,186,187,187,187,187,186,186,186
2,198,199,199,199,199,199,199,199,198,198,197,195,199,194,196,196,195,195,193,191,191,190,188,187,186,185,182,181,201,201,201,201,201,201,201,200,200,200,198,210,210,154,174,199,198,196,196,194,194,193,191,190,189,187,185,184,203,204,204,205,205,204,203,203,201,202,225,217,165,125,127,180,188,152,190,199,196,195,194,193,192,190,187,187,206,206,205,206,207,206,206,204,211,233,226,158,125,115,125,152,156,120,168,198,197,196,195,195,194,193,190,189,206,208,207,207,208,207,206,218,250,234,180,128,121,114,107,115,118,112,112,166,203,199,199,196,195,194,193,191,208,208,208,209,209,209,206,244,241,178,135,113,114,117,113,94,110,122,110,116,165,206,200,198,196,195,193,193,209,210,210,212,211,208,222,254,204,134,108,95,99,107,108,109,109,112,110,105,164,205,200,200,198,197,196,195,211,213,212,213,213,213,249,234,169,128,112,104,92,110,128,133,116,128,141,170,202,203,202,201,200,200,198,196,214,214,214,214,211,236,246,190,138,115,116,115,107,121,122,128,176,200,207,209,207,205,203,202,202,201,200,198,215,215,216,213,228,255,233,170,128,106,114,111,120,114,146,198,213,212,211,210,209,207,206,204,204,203,201,200,216,217,216,217,251,252,215,164,135,123,111,112,125,154,219,216,214,214,214,213,211,209,208,207,206,204,202,201,218,219,216,230,255,242,194,153,134,132,121,116,122,181,223,216,215,215,215,213,212,211,209,209,208,206,205,203,220,221,218,246,255,231,180,142,131,130,127,117,135,216,221,218,215,216,215,214,214,213,211,210,209,208,206,205,222,220,230,255,251,215,168,141,128,127,127,122,182,226,221,220,218,216,217,216,215,214,213,212,210,209,208,207,223,221,248,255,243,196,154,136,131,125,125,129,214,224,222,222,220,219,218,217,216,216,214,214,213,211,209,209,223,233,255,254,228,182,145,133,131,130,122,151,230,223,224,223,222,221,220,219,218,217,217,216,214,212,210,209,223,248,255,250,211,165,137,132,129,127,109,174,233,226,225,225,224,222,221,221,220,216,213,208,212,215,212,212,235,255,255,237,190,150,136,127,121,116,107,139,226,230,225,226,224,224,223,222,210,193,186,175,156,209,215,214,250,255,251,217,178,152,139,123,111,112,116,114,151,219,232,228,228,227,225,200,194,186,169,143,155,212,217,215,255,255,243,206,180,158,138,115,107,117,118,126,130,143,184,212,203,195,196,189,196,169,149,187,218,219,217,215,255,255,243,206,176,154,132,114,115,130,136,148,155,146,142,167,176,188,194,195,183,147,202,226,221,219,219,218,196,204,211,192,170,145,126,118,126,140,154,159,167,165,157,181,182,188,184,167,144,174,228,224,222,221,220,219,94,93,85,85,98,96,97,108,130,147,157,164,169,170,158,173,164,160,164,179,199,224,227,226,224,223,220,219,95,86,68,65,72,68,60,64,95,141,155,162,163,159,140,146,175,207,224,232,231,228,227,226,225,224,223,221,92,81,67,69,74,66,59,55,53,84,147,154,147,145,177,214,234,235,233,232,232,231,229,227,227,226,225,223,87,78,69,70,69,62,56,51,52,51,96,145,173,220,238,237,235,234,234,233,231,230,230,228,227,227,225,224,82,77,69,71,67,60,54,51,54,49,90,221,239,238,236,236,236,237,235,234,234,232,231,230,228,228,226,225,82,75,69,69,66,58,53,51,55,48,178,247,237,237,237,237,237,236,235,235,235,233,233,233,230,229,228,227
8,172,176,179,182,183,186,188,189,190,192,193,194,194,195,195,195,195,194,194,193,192,192,192,190,189,189,188,187,174,178,181,183,185,187,189,191,192,194,195,195,196,197,197,196,196,196,196,196,195,194,193,193,192,191,189,189,175,179,182,184,187,188,190,193,193,195,196,197,198,198,199,198,198,197,197,197,197,195,194,195,193,192,192,192,175,180,183,186,189,190,191,194,197,197,198,199,200,200,199,199,199,199,199,199,199,197,197,195,194,194,194,193,178,182,184,187,190,190,199,184,181,202,199,200,200,200,200,200,201,200,200,200,200,199,198,197,196,196,195,194,179,183,186,188,191,191,209,180,144,201,201,202,202,202,202,202,202,202,202,201,201,200,199,200,199,198,197,195,180,184,188,189,192,190,208,189,131,187,205,202,203,204,204,204,204,204,203,202,202,201,200,201,200,199,197,196,181,184,187,190,193,192,206,204,130,174,209,204,206,205,204,206,206,205,205,204,204,204,202,201,200,200,200,200,182,184,188,192,194,195,200,202,135,159,213,205,206,207,209,206,206,206,209,205,204,204,204,203,202,201,200,200,183,186,189,192,196,198,198,213,167,144,210,207,206,192,188,209,206,181,178,211,208,209,204,205,204,203,201,200,183,187,190,193,195,198,198,217,184,130,195,209,220,206,166,183,223,186,140,175,182,181,208,205,206,205,203,202,185,187,190,194,196,200,199,212,190,147,168,213,233,230,189,143,216,194,187,147,148,141,161,214,205,205,205,205,186,188,192,195,197,201,201,210,213,176,160,203,228,236,208,140,180,197,195,183,163,161,135,193,209,204,205,204,186,190,193,195,199,203,204,205,218,174,169,196,201,227,211,150,151,192,164,202,203,205,192,140,191,210,205,205,188,192,194,197,201,203,205,205,215,200,188,212,202,203,212,155,129,176,127,176,200,205,198,138,166,217,205,207,189,192,195,199,201,204,206,205,222,229,185,184,198,183,211,173,126,149,129,138,181,207,198,140,161,218,206,207,190,193,197,200,202,205,207,205,223,211,162,166,175,159,194,218,154,125,124,134,199,221,207,142,157,219,206,208,190,194,198,201,203,204,208,207,220,220,184,164,158,153,169,184,148,137,118,140,205,224,207,143,158,219,208,210,190,194,198,201,204,205,208,208,223,234,202,168,158,160,148,175,185,149,134,182,206,226,199,140,146,219,209,211,191,195,199,202,205,205,209,207,227,231,203,178,152,144,151,202,209,188,197,214,201,203,175,133,133,216,211,211,192,196,200,202,205,206,210,208,229,231,208,192,170,144,154,196,215,232,225,209,190,171,154,121,151,219,210,211,193,197,200,203,206,208,211,209,231,231,210,198,183,154,149,192,232,235,228,206,179,149,134,113,196,217,211,211,193,197,201,204,207,210,211,209,229,232,216,200,192,166,161,200,237,232,215,196,168,137,108,151,221,212,213,212,193,197,201,204,206,208,212,211,223,234,222,208,201,177,164,213,232,217,196,177,152,124,112,205,218,215,214,212,192,196,200,202,205,207,211,211,218,233,225,211,204,184,166,212,222,201,182,159,140,108,156,222,212,214,213,211,193,196,200,203,206,208,211,211,216,234,229,213,199,176,164,203,204,190,176,150,125,114,210,217,215,213,213,212,193,196,201,205,206,208,211,212,217,236,223,205,186,160,166,197,182,171,166,146,105,170,224,214,216,215,214,213,194,198,201,205,206,208,211,209,218,237,216,201,174,167,173,189,173,159,156,126,131,220,217,216,216,215,215,213
14,174,175,177,179,179,179,181,181,182,182,183,182,183,182,181,181,180,179,179,179,177,177,177,175,175,174,173,172,175,177,179,180,181,182,183,184,184,185,185,184,185,184,184,184,183,182,181,181,180,180,178,177,176,176,176,175,178,179,180,182,183,184,185,185,185,186,186,186,187,187,185,186,185,184,183,183,182,180,180,180,179,179,178,177,178,180,181,184,184,186,188,187,188,188,188,188,186,186,187,189,188,185,185,185,184,183,182,181,180,179,179,178,179,181,183,185,186,187,190,190,190,190,190,190,199,180,173,181,180,190,188,186,186,185,184,183,182,181,181,180,180,182,185,186,187,189,190,191,190,191,193,205,199,183,171,168,156,164,189,189,187,187,186,186,184,184,183,182,183,184,186,189,190,190,191,192,193,194,208,205,200,187,190,177,152,128,138,197,188,189,188,187,186,185,184,184,185,186,188,190,191,192,191,194,193,203,210,207,188,117,171,171,164,133,87,149,198,189,190,187,187,186,186,185,186,187,189,190,192,194,193,195,199,213,182,143,134,100,96,108,176,169,93,101,190,192,190,190,189,187,187,186,187,189,191,193,195,196,196,210,221,209,168,122,89,86,79,63,154,192,137,96,176,197,191,191,190,188,188,188,190,191,192,194,197,195,204,222,208,175,149,129,99,69,86,67,103,153,135,95,151,202,192,193,191,190,190,189,190,192,193,196,196,195,221,217,195,150,105,102,93,79,70,97,183,166,168,127,129,203,192,194,193,192,191,190,190,191,194,197,193,218,226,207,194,149,107,81,82,69,114,194,202,195,175,110,128,204,195,196,194,194,193,191,191,194,198,192,212,231,212,206,177,137,116,85,71,96,203,207,197,181,165,102,118,208,196,198,197,196,195,194,193,196,195,202,234,223,214,201,172,147,112,71,60,126,192,207,201,169,158,108,86,179,204,198,199,197,196,195,195,199,194,225,235,222,209,192,170,134,99,71,83,88,93,189,181,152,150,122,95,143,211,199,200,198,197,196,197,196,207,238,230,217,203,189,151,116,86,90,110,111,107,114,137,162,153,119,97,176,208,201,201,199,199,198,196,196,228,233,221,210,195,175,135,115,90,114,124,126,131,117,129,155,142,95,157,211,202,203,202,201,201,199,198,211,238,224,215,200,189,166,136,115,106,124,128,131,125,129,125,148,106,134,211,202,204,203,202,202,201,200,177,235,236,218,203,196,180,163,142,112,112,128,128,126,115,132,119,98,124,211,207,206,206,204,203,203,202,201,100,164,224,210,185,174,161,149,117,105,111,119,124,118,114,115,84,112,205,211,207,207,207,206,204,204,203,202,103,92,126,171,181,152,124,97,88,100,100,106,115,108,96,114,160,209,213,208,209,208,207,207,206,205,204,203,96,98,91,100,111,106,94,84,84,87,88,86,87,92,141,209,221,212,211,210,209,209,208,207,207,206,204,203,93,91,95,94,59,58,67,64,63,65,58,93,139,179,220,214,212,213,212,212,211,210,209,208,207,207,205,204,91,91,87,95,84,46,60,58,54,54,48,73,206,225,213,215,215,214,213,213,212,210,210,209,208,207,207,206,89,87,86,89,89,47,51,55,54,54,50,58,199,220,215,216,216,215,214,213,213,212,211,210,209,208,208,207,81,83,80,87,89,43,49,52,51,54,40,117,232,215,218,217,217,216,214,214,214,213,213,212,210,209,208,207,90,116,74,91,75,40,50,49,49,51,39,161,230,214,218,218,217,216,215,215,214,213,213,213,211,209,209,208
7,185,187,189,192,193,194,195,196,196,197,196,196,196,196,195,195,194,193,193,192,190,189,189,187,185,185,184,183,186,188,190,193,195,196,197,197,197,198,197,197,196,196,196,196,195,194,194,193,192,191,190,188,187,186,185,184,187,189,192,195,196,198,199,199,200,200,199,199,198,198,197,197,197,196,195,194,193,193,191,190,189,188,187,185,189,191,193,195,197,199,200,200,201,201,201,200,200,200,199,199,198,197,197,196,195,194,193,192,191,189,188,187,191,193,195,197,199,199,200,201,201,201,201,201,201,201,201,200,200,199,198,197,196,195,194,193,192,191,190,189,192,195,197,198,200,200,201,202,202,202,202,202,202,202,201,201,201,201,199,197,194,193,193,192,193,193,191,189,193,195,198,200,201,202,203,204,204,204,204,203,203,201,200,199,198,194,189,184,174,182,191,184,192,194,193,191,195,196,198,201,202,204,204,205,204,204,202,197,191,184,179,179,180,173,166,160,152,172,183,166,185,193,192,193,196,197,199,201,203,203,199,192,185,184,182,176,166,154,147,154,164,160,151,144,138,145,155,152,183,190,180,190,197,199,200,202,203,197,185,170,162,158,156,157,154,146,134,132,135,133,136,139,135,135,144,156,186,184,157,183,198,200,200,200,197,188,176,165,158,147,140,144,151,146,130,123,122,137,154,163,153,146,144,147,156,157,157,187,198,198,196,191,184,178,174,168,154,127,121,136,150,148,137,131,127,138,152,154,142,132,127,128,139,161,183,197,195,192,187,183,179,175,170,167,151,119,110,117,123,122,120,121,115,117,126,125,124,130,148,168,183,194,198,200,190,187,183,181,178,170,163,161,155,132,105,88,80,82,92,101,106,116,134,152,169,184,196,201,202,201,201,200,187,184,180,175,170,164,161,160,159,144,110,80,65,86,129,148,161,176,193,202,205,206,206,205,203,202,202,201,184,178,172,166,161,157,154,153,149,134,108,82,72,93,158,201,209,210,211,209,209,208,207,206,205,204,203,202,178,172,164,157,151,147,143,140,136,124,100,77,74,79,103,174,212,214,212,210,210,209,208,207,206,205,204,203,156,162,158,153,145,141,138,135,133,125,99,73,72,81,80,129,205,215,214,212,211,210,209,208,207,206,206,205,92,126,149,152,146,141,137,136,136,128,100,72,67,76,79,122,204,216,215,214,213,212,211,209,207,207,207,205,49,69,115,148,150,144,136,129,125,114,94,76,68,63,68,127,207,218,217,215,214,213,212,210,209,208,207,206,40,41,65,119,146,143,133,122,111,99,88,81,75,64,62,106,196,218,217,216,215,214,212,211,210,209,208,207,37,36,38,71,119,128,119,109,100,87,80,80,77,72,77,117,198,219,218,217,216,215,214,212,211,210,208,207,33,31,31,40,73,95,97,93,78,62,63,73,79,104,146,181,214,219,217,217,216,215,215,213,212,211,209,208,27,27,29,30,31,51,96,114,67,50,58,76,109,173,213,219,221,220,219,217,217,216,215,214,213,212,210,209,21,23,28,29,26,71,160,166,86,70,88,128,181,216,223,223,221,221,220,218,218,217,215,215,214,213,211,210,25,24,30,38,79,165,214,207,163,155,177,204,220,223,223,223,222,221,221,218,217,217,216,215,215,213,212,209,39,31,31,76,170,214,221,222,218,218,221,222,222,222,222,222,222,221,220,218,217,216,216,215,214,213,211,209,35,29,33,117,207,220,222,222,223,223,223,222,222,222,222,222,222,222,220,218,217,216,216,215,214,213,211,209
24,126,131,139,150,157,163,168,172,176,179,182,185,187,188,188,188,186,185,185,184,182,180,179,178,177,174,171,170,128,133,142,153,161,166,171,175,179,183,186,188,190,191,192,192,191,190,189,188,187,185,184,182,181,178,176,174,130,135,145,155,163,169,174,178,183,187,190,193,194,195,195,195,195,194,194,193,192,190,189,187,186,184,181,179,132,138,147,158,166,172,177,181,185,190,193,196,197,198,199,199,199,198,198,197,196,194,193,192,191,189,186,184,134,139,150,161,169,175,180,184,188,192,196,199,201,201,202,202,202,201,201,200,200,199,197,197,196,194,191,189,137,144,156,162,171,178,182,187,191,195,199,202,203,203,204,205,205,204,203,203,203,202,201,201,200,198,196,193,139,153,156,145,170,180,184,189,193,197,201,203,205,206,206,207,207,207,206,206,205,205,205,205,204,202,200,198,141,159,148,123,165,182,186,191,196,200,203,205,206,208,208,206,205,208,208,208,208,208,208,207,206,204,202,201,144,163,145,114,161,184,189,193,198,201,204,206,206,209,211,191,174,193,208,209,208,206,202,196,200,207,205,203,146,164,139,109,159,185,190,191,191,200,206,202,181,187,210,186,144,151,199,209,202,186,166,147,168,205,207,204,147,162,137,108,158,187,196,186,167,182,209,202,154,136,168,184,150,129,175,195,189,159,126,123,170,199,185,166,148,163,144,110,154,189,207,205,182,172,195,202,161,127,132,177,161,127,143,173,179,135,112,143,159,135,97,76,150,166,157,121,148,188,209,222,214,185,168,193,179,146,126,162,158,118,120,170,159,106,87,93,80,61,52,46,151,165,174,152,157,185,203,207,218,199,158,163,187,158,119,126,131,107,133,173,132,81,56,50,52,53,51,48,151,161,184,178,175,192,200,184,191,194,151,128,178,170,119,87,92,111,157,162,105,60,45,43,43,51,51,47,153,160,183,195,194,203,204,186,172,174,143,112,156,170,119,76,86,136,164,138,81,44,39,44,40,44,50,50,154,161,181,208,201,190,190,175,155,156,145,116,125,139,113,101,119,147,145,108,60,43,34,39,41,39,45,51,154,162,179,209,201,175,172,161,139,141,148,133,117,124,149,162,160,155,124,82,38,40,38,33,37,37,40,46,148,156,169,199,201,164,147,148,142,142,159,165,153,169,206,203,182,160,111,66,25,31,44,36,33,36,37,39,123,127,133,167,200,171,139,142,159,157,185,206,203,217,226,206,181,153,102,61,26,21,40,44,37,35,33,34,110,111,112,142,199,190,152,138,156,167,197,220,227,233,223,197,172,142,91,55,32,16,31,45,43,39,32,29,111,112,113,131,191,202,171,144,145,167,193,223,233,229,211,186,162,134,84,44,36,15,22,40,44,42,35,28,112,113,114,124,178,207,187,158,146,162,184,219,230,220,200,176,153,129,82,36,38,20,14,32,43,41,37,33,111,113,114,118,162,206,198,171,156,161,175,209,222,209,191,170,145,122,79,34,37,27,11,22,39,39,36,35,111,112,113,115,143,196,201,182,166,165,168,196,212,201,187,166,134,111,71,31,36,34,14,14,33,38,34,33,110,111,112,113,126,175,199,190,175,170,164,179,199,194,184,159,123,100,57,20,30,38,22,10,24,36,31,29,110,110,111,112,116,147,191,196,182,173,162,162,180,183,173,147,115,91,46,9,20,38,30,13,15,31,31,25,109,110,110,111,113,126,173,196,186,173,159,150,160,168,158,135,109,83,37,6,12,35,35,19,11,24,32,23
12,207,208,208,210,211,212,212,213,213,213,213,214,214,215,215,215,215,216,216,215,215,215,215,215,215,214,213,213,208,210,211,211,212,213,213,215,214,215,215,215,215,216,216,218,216,217,218,216,216,217,216,216,216,215,214,214,210,211,211,213,213,213,214,216,216,215,215,217,217,220,219,211,218,217,217,219,218,217,218,217,217,216,216,216,211,212,213,214,215,215,216,217,215,219,226,216,214,237,229,194,182,224,222,204,215,218,217,218,218,217,218,217,212,212,214,215,216,217,217,216,219,250,246,214,196,244,233,189,140,213,228,185,175,222,219,219,219,219,219,218,212,213,215,217,217,218,218,215,223,255,248,211,192,246,231,197,139,215,215,182,141,207,225,218,220,219,219,219,213,215,216,218,218,219,218,216,229,251,245,213,187,249,227,203,164,226,206,166,131,186,230,219,221,221,221,221,214,216,218,217,219,217,226,245,214,214,237,238,176,235,243,195,177,229,214,165,124,175,230,221,222,222,222,221,215,217,218,219,220,217,249,249,210,175,207,213,159,215,236,162,177,239,194,152,121,170,230,222,223,223,223,222,217,218,219,221,218,229,255,248,228,174,183,180,128,149,168,139,185,205,150,130,124,165,233,223,225,224,223,223,218,219,220,221,218,240,254,250,230,194,161,170,130,117,119,201,225,208,170,166,156,170,235,224,225,225,224,223,219,220,222,222,219,246,234,242,235,207,170,131,152,136,198,253,248,232,203,199,180,176,234,225,226,225,225,224,219,221,222,221,222,254,249,224,228,210,176,138,135,181,255,252,245,230,207,189,168,159,231,227,227,226,225,226,221,222,224,220,232,255,251,217,216,213,185,157,126,236,255,252,245,231,209,182,156,159,233,228,229,227,227,227,221,223,225,221,233,255,253,239,206,200,216,189,157,255,254,253,245,229,199,178,152,159,235,228,230,229,228,228,222,223,225,224,228,255,254,238,214,191,195,207,226,255,253,252,245,224,198,176,154,148,231,232,230,230,229,228,223,224,226,223,230,255,255,244,232,225,201,233,249,255,249,249,245,219,202,171,150,146,231,233,230,230,230,229,224,224,226,224,233,255,255,252,242,239,223,232,241,255,246,244,238,222,197,168,140,164,240,230,233,231,231,231,224,225,227,226,232,255,255,254,247,239,228,231,232,252,243,234,228,222,185,159,132,205,239,231,233,233,233,232,225,226,228,229,228,254,255,255,249,234,223,231,232,245,237,226,226,211,174,142,151,238,234,233,233,233,233,233,225,226,227,231,227,244,255,253,246,229,217,225,229,239,235,225,216,193,160,127,204,242,234,234,234,233,233,233,228,230,232,235,231,245,255,241,235,227,222,229,233,246,237,221,205,179,134,159,241,234,237,235,234,234,235,234,219,210,201,193,180,176,175,158,153,153,148,152,144,145,142,137,137,134,116,207,251,238,237,237,236,236,237,236,172,163,159,156,142,131,130,126,118,110,105,103,92,89,91,88,86,87,90,109,155,227,239,235,235,235,235,235,169,158,161,154,145,138,134,129,121,115,112,107,98,96,95,93,89,87,86,82,70,212,242,234,235,235,234,234,190,155,161,155,145,139,131,127,120,113,110,103,96,95,95,93,88,85,87,73,143,248,234,236,235,235,235,234,205,157,160,151,144,138,129,124,118,112,108,102,96,96,95,92,88,82,85,73,208,247,236,238,237,236,237,237,214,159,157,152,146,138,132,124,118,110,105,103,97,96,94,92,88,84,84,87,228,242,240,240,238,238,237,238
8,158,160,162,163,164,165,166,167,166,166,166,166,165,165,165,164,164,163,163,161,160,159,159,158,158,156,154,152,159,162,165,165,167,167,168,167,168,167,167,167,167,166,166,166,166,165,165,163,162,161,160,160,160,158,156,155,162,165,166,167,168,169,170,170,170,170,171,169,168,170,167,168,168,167,166,165,164,163,163,162,161,159,157,156,164,166,167,171,172,170,171,171,172,172,171,171,169,163,171,168,167,168,168,167,165,165,164,163,164,161,158,158,166,168,169,171,172,173,173,173,174,174,169,182,183,118,160,174,170,169,169,169,167,166,166,165,163,162,160,159,168,171,173,171,173,174,174,175,175,175,170,196,171,90,149,177,171,171,171,170,167,168,166,166,165,163,163,162,170,172,174,174,174,175,177,177,176,177,173,201,144,84,161,178,172,174,173,171,169,168,166,166,166,165,165,163,171,173,176,177,176,178,179,178,179,178,180,201,131,88,174,178,175,174,174,172,171,170,169,169,167,167,166,164,174,174,176,178,178,178,179,180,181,177,188,204,129,100,177,178,176,173,174,174,172,171,171,170,169,167,166,166,176,176,178,179,180,180,182,182,183,178,194,190,108,106,181,178,178,177,176,174,173,173,171,171,169,169,167,167,176,179,179,181,182,183,183,184,185,178,200,187,109,118,186,178,178,174,180,175,173,174,173,173,171,171,169,168,179,181,181,184,186,186,186,187,187,180,210,186,136,135,180,179,192,131,141,187,179,178,173,173,173,173,170,169,180,182,183,185,187,187,188,188,188,185,210,179,150,144,189,200,195,137,93,125,128,164,182,179,173,174,172,171,181,183,185,186,187,187,188,189,189,188,207,185,166,155,204,201,195,170,126,73,74,88,165,155,180,174,174,173,183,186,187,189,189,190,190,192,188,200,218,179,165,172,196,179,188,189,148,137,104,64,100,72,118,184,172,173,185,187,189,191,191,192,192,194,189,212,201,162,156,151,193,165,118,178,169,166,124,68,70,72,51,163,179,173,186,188,191,192,192,193,194,189,198,209,164,132,143,133,179,147,87,94,172,155,120,66,41,63,47,129,188,173,189,191,192,194,195,194,195,192,220,210,175,136,116,105,172,169,129,48,187,169,128,73,37,55,57,161,184,175,189,192,194,195,195,198,193,209,228,201,166,135,118,90,165,175,111,55,167,185,129,76,48,41,112,190,179,179,189,192,196,196,198,198,195,224,224,192,155,130,120,79,86,139,113,103,169,191,131,79,41,96,186,183,182,181,192,193,194,196,199,197,204,230,207,174,162,144,120,89,163,195,185,181,170,173,127,68,85,193,186,185,185,182,193,194,196,198,198,200,217,226,197,184,166,128,111,174,219,204,176,185,156,138,118,72,92,201,185,188,186,184,194,195,198,198,206,177,215,225,195,192,154,118,169,214,202,186,155,170,144,110,113,68,122,199,186,187,187,186,195,196,199,200,207,94,126,230,199,191,139,164,207,212,192,175,150,156,143,89,89,66,187,194,189,188,188,187,195,197,198,211,133,70,63,121,192,180,146,170,197,200,185,172,139,141,131,85,50,127,206,191,192,191,188,186,196,197,208,174,76,70,72,60,84,129,133,162,179,187,175,158,132,136,104,58,61,195,195,194,194,192,190,188,196,203,194,91,71,69,64,73,42,29,63,80,109,142,149,138,130,111,70,39,159,206,195,196,194,193,192,189,196,200,119,68,71,66,63,63,66,14,34,38,34,42,61,75,76,61,36,122,209,196,197,197,195,194,191,188
17,118,120,122,123,126,126,127,128,128,128,130,130,131,133,134,135,135,136,136,135,137,137,137,137,138,139,138,139,119,120,123,124,125,125,127,128,130,130,131,132,133,133,135,136,137,138,137,137,138,138,138,138,139,139,139,139,119,121,123,125,126,126,127,129,131,131,132,133,133,134,136,137,138,138,141,140,139,142,139,139,140,139,140,140,119,121,123,126,127,128,128,130,131,132,132,135,136,136,137,138,139,133,114,128,105,120,145,140,141,141,140,141,121,122,123,126,128,128,130,131,133,133,135,135,136,138,138,139,141,143,109,81,77,96,148,140,142,141,141,141,121,123,125,127,128,130,131,132,134,135,136,137,137,138,140,140,139,156,126,81,57,106,148,141,143,143,142,142,122,124,126,128,129,131,132,132,134,135,135,137,137,138,139,141,139,156,134,97,52,114,150,142,143,144,142,142,122,124,125,128,130,132,133,133,134,135,137,138,140,142,140,142,139,157,145,109,65,132,147,143,144,144,142,142,123,126,127,129,129,132,133,135,135,136,136,140,130,123,146,142,140,160,145,111,82,143,146,145,144,145,145,143,124,126,127,129,131,133,133,135,137,138,138,141,133,97,110,146,146,162,139,109,84,144,146,145,145,146,146,144,124,127,128,129,131,132,135,135,135,134,135,149,137,119,98,115,133,156,141,110,82,143,147,147,146,146,146,145,125,128,128,130,132,133,133,139,146,123,97,129,150,146,147,114,76,111,133,112,84,141,148,147,147,147,146,146,125,127,129,132,133,135,132,148,154,123,90,126,133,152,155,136,91,72,110,104,80,137,150,147,148,147,146,147,125,128,130,133,134,134,137,147,126,140,116,114,101,102,160,150,116,71,82,91,74,135,152,148,148,147,146,147,126,128,130,132,133,134,137,155,115,105,103,71,65,55,154,162,134,83,68,77,68,133,152,148,149,148,148,148,127,129,131,132,135,134,144,144,110,94,102,80,76,74,136,174,143,101,67,75,66,126,154,147,149,149,149,148,127,129,131,134,136,133,148,149,132,118,111,92,101,103,120,180,144,114,74,72,68,120,155,148,149,150,150,149,126,129,131,134,136,134,156,143,118,112,107,99,116,121,147,162,144,122,82,67,63,121,156,149,150,150,150,149,127,129,131,134,136,139,157,130,113,106,104,113,114,153,176,145,132,120,82,63,56,120,156,149,151,150,149,150,128,129,132,135,135,142,161,133,120,108,107,115,132,176,167,148,126,111,80,61,56,127,155,149,151,150,150,150,127,130,134,136,134,147,164,137,126,109,110,117,157,173,158,144,120,106,77,62,61,143,152,149,150,151,150,150,128,132,134,136,133,151,165,140,132,116,108,133,172,168,155,138,110,102,75,58,80,155,149,150,151,151,151,149,129,131,135,137,132,157,166,142,137,130,111,141,174,159,152,139,107,92,74,53,114,158,150,151,151,150,150,149,130,133,136,138,133,157,171,146,144,141,121,141,168,151,145,136,109,83,69,64,145,153,151,152,151,151,150,150,131,133,135,137,133,151,173,151,148,142,132,132,161,147,145,130,106,82,59,93,160,149,151,151,150,151,151,150,129,133,135,138,136,144,171,157,146,137,136,132,149,143,145,136,102,80,56,109,160,149,151,151,151,151,151,151,130,133,134,136,139,141,168,154,143,133,132,136,144,136,146,138,102,78,59,127,159,151,152,152,152,152,152,151,131,133,135,137,138,142,167,148,143,133,129,134,142,132,145,131,97,76,72,149,154,152,152,152,152,152,152,152
0,174,174,174,174,174,174,174,174,173,173,171,171,171,171,170,169,169,169,168,167,165,165,164,163,162,162,160,159,175,176,175,175,176,174,174,175,175,173,173,172,173,172,171,170,169,169,169,168,166,166,165,163,162,162,161,161,175,176,175,176,176,175,175,176,175,174,174,174,174,172,172,171,171,168,168,168,167,167,166,164,163,162,162,161,177,177,177,176,176,175,177,176,176,175,175,173,167,175,175,173,173,176,169,170,169,166,166,165,164,164,162,162,177,177,179,178,177,177,177,177,175,179,175,156,127,127,168,148,130,137,174,166,165,171,166,168,167,164,163,162,178,178,178,179,178,177,178,167,142,146,168,149,129,98,118,139,116,89,124,133,112,125,169,152,155,166,162,162,180,179,178,179,177,177,178,163,144,118,132,164,129,105,109,151,124,99,87,129,107,75,122,138,119,170,163,162,180,179,179,178,178,179,177,178,156,138,107,152,135,109,105,151,129,100,97,139,120,83,80,135,109,168,164,164,181,180,179,179,179,182,176,164,163,140,96,141,141,110,103,149,128,100,81,127,113,84,71,127,100,154,169,165,181,181,180,180,180,183,167,132,160,121,89,142,130,99,96,138,117,91,71,117,104,76,73,129,102,116,173,164,182,181,181,182,181,178,150,119,157,113,90,137,113,85,90,129,108,82,80,135,116,70,70,132,123,91,144,170,181,181,181,181,183,179,165,142,154,126,102,132,121,88,92,137,115,74,117,154,117,62,84,134,126,93,106,176,182,182,182,182,184,171,152,135,135,126,101,138,134,88,108,149,124,81,109,143,85,61,124,142,124,80,117,175,182,184,184,185,181,155,132,116,104,92,85,140,127,83,100,150,123,77,43,59,47,99,146,142,108,77,159,170,184,184,185,183,179,162,139,117,96,89,86,96,105,82,67,92,91,91,110,81,90,144,142,130,81,115,178,166,185,185,185,181,175,160,141,118,99,97,103,98,103,107,100,103,132,152,149,143,123,133,132,105,75,160,172,167,185,185,186,184,177,162,144,124,103,95,101,110,125,136,144,155,158,148,138,137,118,115,120,77,104,178,168,169,184,185,185,183,178,163,146,130,112,104,103,113,142,153,161,159,154,144,135,132,111,100,102,64,148,176,170,169,185,186,185,182,180,166,150,135,118,117,109,139,165,163,163,159,151,139,131,127,102,90,67,101,179,171,172,170,185,186,185,183,182,170,155,142,131,127,134,161,168,165,164,158,147,137,125,113,93,63,85,170,175,172,172,171,186,186,186,184,182,172,158,147,139,134,153,162,167,168,162,147,140,130,117,103,69,75,170,176,173,174,172,171,186,187,186,183,180,175,163,151,141,136,160,165,168,166,154,139,130,121,107,78,66,162,179,172,174,174,173,171,186,187,187,182,178,174,165,155,143,136,158,166,159,155,142,129,117,109,84,61,151,183,174,175,174,174,173,172,187,188,189,184,179,177,168,163,152,141,153,160,150,143,131,117,106,84,57,141,185,176,178,176,175,174,172,172,187,187,189,186,181,174,167,164,156,146,151,154,143,130,122,108,82,58,139,186,176,179,177,176,175,174,173,172,188,188,189,185,179,172,175,175,165,153,148,146,132,120,112,87,59,143,189,179,181,179,177,175,176,174,173,173,188,188,188,183,182,171,174,175,160,151,143,139,122,105,97,64,140,191,180,181,181,180,178,177,177,175,174,173,188,188,186,180,176,157,171,164,154,148,139,125,113,100,73,98,191,181,182,181,181,180,178,178,176,176,175,173
15,84,94,104,107,109,114,121,128,133,138,143,146,150,152,155,157,160,164,166,169,171,173,174,175,178,178,179,180,86,95,104,108,110,114,122,129,133,139,144,147,150,152,156,158,162,164,167,170,173,174,175,177,179,180,181,182,87,96,105,108,112,117,123,129,135,141,145,147,150,153,157,160,164,166,170,172,174,175,178,179,180,181,182,183,88,98,107,110,113,119,125,131,136,140,144,148,152,155,158,161,165,167,171,172,173,176,178,180,181,181,183,184,88,98,105,109,113,118,124,132,137,141,145,149,151,156,159,161,165,167,170,172,176,177,179,181,181,182,184,184,98,104,114,116,118,127,132,136,133,137,141,145,151,156,159,161,165,171,174,173,176,179,181,183,183,184,184,186,132,119,125,127,128,139,147,149,154,151,143,140,142,143,153,153,148,148,158,176,180,179,182,184,184,185,185,186,114,94,100,109,123,138,142,151,168,161,152,153,157,165,160,161,162,139,123,114,161,185,180,184,184,186,186,187,81,79,87,90,98,110,118,134,161,169,168,168,168,172,176,161,157,175,128,97,85,152,189,183,185,186,186,187,94,106,110,109,111,115,120,121,130,145,160,181,184,154,157,165,126,183,127,99,114,92,152,191,181,186,186,187,93,103,110,112,117,125,128,138,130,111,119,124,151,148,129,139,117,188,132,87,129,136,76,158,188,184,186,187,95,105,111,112,117,122,128,158,121,101,91,103,135,144,109,103,109,148,128,108,128,138,87,78,183,185,185,186,95,105,110,111,118,120,142,172,102,89,100,120,150,142,113,101,111,99,100,115,131,118,78,52,107,196,182,186,96,105,110,112,117,122,137,184,116,89,120,133,147,133,108,103,105,104,103,118,133,130,81,57,50,129,193,188,96,106,111,111,118,121,154,188,183,143,121,106,111,104,86,87,90,100,115,126,131,126,90,61,59,54,115,185,95,105,110,112,117,119,166,190,176,185,157,101,50,45,46,40,45,67,99,118,112,105,82,70,69,63,51,86,95,105,109,112,117,122,146,187,179,160,167,177,95,15,26,19,24,32,62,107,113,107,98,96,83,71,66,58,84,90,95,99,104,107,112,167,182,158,151,183,104,34,27,22,32,26,59,120,130,128,122,115,98,77,69,68,63,66,68,67,71,68,78,185,173,155,142,140,67,41,31,25,37,34,48,100,122,126,124,115,99,80,68,73,72,72,73,73,76,76,78,157,187,162,124,116,95,46,32,34,38,47,57,71,95,106,112,107,96,80,70,72,73,72,73,75,76,79,76,87,134,152,136,122,114,67,40,41,37,46,61,65,77,99,104,98,85,79,76,73,73,73,75,75,76,78,79,77,78,84,86,86,77,70,50,44,36,41,60,69,61,83,96,93,84,80,78,78,73,73,75,76,76,75,77,78,78,81,80,79,78,84,80,65,64,58,69,82,73,73,87,83,79,73,74,77,72,72,73,75,77,77,79,79,79,82,83,84,85,94,98,114,110,93,109,117,123,113,107,100,78,68,82,86,72,72,73,74,76,78,78,79,79,81,82,83,83,82,81,108,100,123,151,153,146,139,123,110,89,86,105,103,71,72,72,74,76,78,77,78,79,82,82,82,83,84,82,81,81,98,122,134,140,118,101,89,96,105,108,123,72,73,73,74,75,76,78,78,79,80,80,81,82,81,82,83,85,85,79,94,105,90,103,112,105,95,109,137,71,72,73,74,75,75,77,78,78,78,79,79,80,81,82,83,83,84,85,85,82,99,120,122,96,102,119,138
18,113,116,119,121,124,126,128,130,132,134,136,136,136,136,137,138,140,140,140,140,140,141,141,141,141,140,140,139,115,118,120,123,125,128,131,133,134,135,138,137,138,139,139,141,142,142,143,143,141,141,143,143,143,143,142,141,117,119,123,125,127,130,133,135,137,138,140,140,141,141,142,143,143,143,143,143,143,144,145,145,146,146,145,144,120,122,125,126,129,132,136,138,139,140,141,142,143,144,144,145,145,146,148,146,146,147,147,147,148,148,147,146,121,123,126,129,132,135,138,139,141,142,145,144,145,148,148,148,146,145,133,145,150,152,152,148,149,149,149,148,122,125,128,132,133,136,139,141,143,144,146,146,147,149,147,145,164,137,95,88,149,136,134,154,152,150,150,150,124,126,130,133,134,137,141,141,145,148,147,150,151,149,123,97,142,115,64,60,66,107,85,107,161,151,153,153,125,129,132,134,136,139,141,144,146,148,149,143,144,175,118,85,116,108,67,61,42,101,107,54,132,161,154,154,127,131,134,137,140,141,144,147,148,148,158,130,87,129,142,110,121,129,111,109,92,79,91,55,95,168,154,156,127,132,136,140,141,143,146,148,149,151,171,146,112,75,131,128,93,133,142,141,137,102,54,39,94,170,157,159,130,132,137,141,142,145,147,150,150,157,155,164,141,91,78,127,77,92,141,138,141,107,58,25,106,170,159,161,131,134,138,140,143,146,148,151,151,161,122,137,135,109,53,85,93,70,109,105,131,113,69,25,114,171,160,161,133,136,140,143,145,147,149,152,152,164,106,87,120,82,38,54,82,50,58,95,141,129,83,30,132,167,160,162,134,137,140,143,147,148,151,154,155,167,141,107,104,59,28,47,64,36,37,53,153,140,98,40,139,171,161,162,136,139,141,145,147,150,153,155,158,166,137,95,90,59,26,38,64,22,22,85,158,156,114,51,77,174,162,163,137,140,142,145,147,150,153,155,158,165,149,113,84,60,26,40,65,22,95,164,158,150,110,70,41,156,171,166,138,141,143,146,147,151,154,156,156,170,161,129,92,64,50,40,40,98,175,171,165,135,95,68,51,158,170,167,140,142,144,147,150,153,155,157,158,170,163,132,100,80,70,64,91,163,177,166,149,125,78,53,64,173,167,168,141,143,145,149,151,154,157,160,159,168,165,141,117,103,87,76,119,170,178,158,124,102,72,39,89,179,167,169,140,143,146,148,152,155,158,161,159,166,164,146,124,103,91,79,119,169,176,148,116,89,64,38,115,180,167,170,141,144,147,150,152,155,158,162,160,161,161,147,124,104,112,87,106,168,171,135,103,76,57,40,142,177,169,171,142,144,147,152,154,156,160,160,163,159,157,153,133,120,123,93,89,167,154,120,87,65,51,53,164,175,172,173,142,145,148,152,154,158,159,159,162,160,154,150,138,120,124,101,82,157,138,103,76,58,43,74,180,172,174,174,143,146,147,151,153,155,158,159,162,163,158,152,142,122,117,100,76,144,125,85,68,57,37,104,185,172,174,174,141,143,146,149,154,154,156,160,162,162,161,160,141,117,104,82,65,124,102,68,61,56,43,142,179,173,174,174,141,143,148,149,154,155,158,160,162,154,165,159,128,106,82,61,72,109,83,70,64,47,85,175,170,173,174,174,142,145,148,151,155,156,159,162,161,154,175,155,130,113,87,82,81,106,74,74,60,48,146,176,172,173,174,174,142,145,148,152,155,157,159,162,159,159,175,162,142,126,95,84,95,93,75,72,40,99,178,171,174,173,174,175
0,234,236,237,236,237,239,239,239,240,240,239,238,238,239,239,239,238,238,239,239,238,238,240,240,237,238,238,237,236,237,238,238,238,240,241,240,241,240,239,240,241,241,238,240,242,245,240,242,241,240,241,240,239,240,240,239,238,239,240,240,240,240,241,241,241,241,241,240,240,242,253,233,195,213,247,232,237,246,242,243,241,240,242,242,239,239,240,240,243,241,240,242,242,241,245,242,208,205,255,226,192,164,172,188,179,225,232,191,235,245,243,242,240,240,241,242,244,242,242,243,244,246,255,252,211,170,223,235,211,187,117,177,176,158,217,153,220,251,242,244,241,242,243,243,243,244,242,249,225,214,255,250,222,186,217,255,214,194,136,199,190,153,189,161,210,253,244,245,241,242,245,244,244,244,247,255,224,176,233,255,228,195,204,255,228,198,143,215,193,143,161,167,182,255,243,247,241,242,244,245,247,242,255,255,234,202,204,255,236,194,188,255,232,195,140,217,188,130,145,181,130,245,247,247,242,244,244,245,241,255,255,255,247,218,177,255,244,191,167,255,229,182,119,182,176,122,132,193,114,189,255,246,244,245,246,244,246,255,224,249,255,225,164,233,250,189,143,240,217,166,109,151,160,114,135,198,126,158,255,246,245,245,248,244,255,255,210,226,255,223,161,200,242,182,125,196,203,160,115,133,147,105,155,209,139,162,255,250,244,246,247,245,255,249,217,210,233,204,151,166,221,173,116,158,197,156,112,136,149,118,203,222,150,166,255,251,242,244,244,251,255,236,205,175,216,195,147,141,211,171,105,132,199,151,106,162,153,149,235,218,150,175,255,249,243,244,244,245,255,253,216,164,183,198,136,129,205,177,104,126,208,153,177,229,189,158,222,224,148,189,255,249,245,246,244,248,255,255,221,179,139,176,160,124,209,192,117,137,207,211,229,221,204,170,168,208,140,193,255,248,245,246,244,252,255,255,234,201,160,148,173,145,206,204,186,227,237,232,220,206,186,174,150,154,125,190,255,248,246,246,245,252,255,255,242,213,197,185,180,204,218,230,249,250,246,235,218,200,176,158,151,132,114,187,255,250,246,247,245,252,255,255,252,229,215,204,193,197,223,238,247,246,248,236,211,195,173,150,138,131,109,212,255,252,245,246,245,248,255,255,255,244,232,211,203,199,214,234,245,244,239,230,206,190,168,146,136,116,168,255,255,254,248,251,251,243,255,255,255,255,238,216,204,203,215,238,248,245,232,222,204,186,162,142,117,153,253,253,254,254,207,211,219,209,247,255,255,255,238,221,207,202,216,243,246,238,225,216,200,176,154,130,129,243,255,255,255,255,135,137,143,126,195,255,255,250,240,226,212,197,216,239,234,221,209,199,185,163,144,125,155,211,210,214,212,210,143,143,144,129,160,255,245,240,240,231,217,196,210,234,225,208,188,174,163,152,132,134,136,134,131,127,152,190,141,142,144,137,151,255,233,237,242,232,214,197,205,231,220,196,163,148,141,133,136,145,137,135,168,219,255,255,140,140,141,139,147,255,234,237,243,227,215,203,200,223,213,180,141,131,125,136,144,146,178,227,255,255,254,235,140,139,141,140,142,255,251,238,241,223,211,206,193,206,202,164,130,124,126,133,159,239,255,255,255,255,255,234,139,141,140,139,138,255,255,247,239,221,212,213,188,195,195,155,126,121,125,187,255,255,255,255,255,255,255,255,141,140,140,140,138,244,255,255,238,220,212,213,184,186,191,151,121,108,192,255,255,255,255,255,255,255,255,255
7,158,160,162,164,166,167,169,170,172,173,174,175,177,178,178,179,179,179,180,181,181,181,181,181,181,181,180,180,158,161,163,165,167,168,170,171,173,174,175,177,178,178,178,180,180,180,181,181,182,182,182,182,182,182,181,181,160,162,164,166,168,169,170,172,174,174,175,177,178,179,179,179,180,181,182,182,182,182,182,182,182,182,181,181,162,163,165,167,170,170,172,174,174,176,178,177,178,180,180,180,180,181,182,183,183,183,183,183,183,183,183,181,162,164,166,169,170,172,174,175,175,176,178,179,180,180,180,181,181,181,182,184,184,184,183,184,183,183,184,181,163,165,167,169,171,173,174,176,178,179,181,182,181,181,182,183,184,185,184,184,184,185,185,183,185,186,184,182,163,165,167,169,171,174,175,177,179,180,182,182,182,184,185,181,176,177,182,181,178,173,171,191,164,180,188,184,164,166,168,170,172,175,176,178,180,180,182,183,183,180,172,166,163,153,155,161,164,156,153,169,136,172,183,180,167,168,169,171,173,176,175,178,178,176,178,179,183,176,169,169,166,148,154,154,159,156,152,149,143,166,168,147,167,168,171,172,175,177,177,182,163,158,166,173,178,172,167,162,150,148,144,136,139,141,135,134,132,131,132,157,167,169,171,174,175,175,189,180,151,155,161,155,146,138,138,136,128,123,126,135,136,136,140,145,151,160,171,190,168,168,172,175,174,190,195,178,167,152,144,130,119,108,116,139,142,161,185,190,189,188,190,194,194,195,193,189,168,171,174,172,188,200,188,189,180,143,135,138,141,140,136,143,164,195,194,192,192,193,192,191,190,189,191,191,170,172,171,184,200,191,190,186,168,148,141,133,137,142,136,121,108,136,196,192,193,193,193,192,193,192,192,193,170,170,180,195,194,189,184,172,161,153,142,120,114,129,134,132,124,115,192,195,194,194,194,194,194,193,193,193,166,176,196,194,184,176,172,165,159,153,142,122,108,109,112,115,118,121,194,195,195,195,195,195,194,194,194,194,174,195,193,187,179,171,168,167,166,161,147,126,121,123,110,94,96,122,201,196,196,196,195,195,194,195,194,193,194,190,181,181,178,171,170,165,162,158,149,135,129,127,122,117,107,112,182,201,195,196,197,197,196,196,195,194,187,183,181,177,171,169,164,157,160,157,142,129,125,123,125,120,116,89,99,176,202,196,198,198,198,198,196,194,184,181,175,174,171,168,155,157,162,146,127,115,102,92,111,118,116,96,96,154,206,196,198,198,198,198,196,196,180,178,171,169,162,158,164,160,143,128,117,95,87,85,80,112,117,103,141,194,199,198,198,199,198,199,197,198,178,175,168,158,162,164,161,144,129,120,107,91,96,92,93,109,113,175,204,201,199,199,199,199,199,199,199,199,169,166,155,160,163,156,142,130,123,108,110,128,139,146,109,123,182,204,198,200,200,200,201,199,199,199,199,199,150,150,148,148,144,135,129,118,108,124,177,199,201,206,183,188,205,199,201,202,202,201,202,200,199,199,199,199,138,132,128,127,127,118,114,121,154,192,199,196,197,197,202,202,200,202,202,202,202,202,202,200,200,200,199,199,134,120,115,110,101,116,162,187,199,194,194,197,198,199,198,201,202,202,202,202,202,202,202,200,201,200,200,200,133,116,104,101,143,181,197,193,193,194,197,200,199,200,201,202,203,203,203,203,203,203,203,202,203,201,201,201,134,118,102,107,190,192,189,193,196,196,197,200,200,201,203,203,203,204,205,203,203,203,203,203,203,203,202,202
6,133,135,137,139,142,143,144,145,146,146,146,144,144,144,144,144,144,142,143,142,141,139,139,139,137,137,136,133,133,136,139,141,143,145,145,146,148,149,149,148,147,147,146,145,146,145,145,143,143,141,142,142,140,138,137,135,135,138,142,143,144,145,148,148,149,150,150,149,150,150,148,147,147,146,145,144,144,143,144,143,142,141,140,138,136,139,141,144,146,147,150,151,150,150,150,151,151,152,152,152,151,150,149,147,147,145,142,143,145,143,143,141,138,142,143,146,148,149,151,152,152,152,153,153,152,147,138,135,136,138,132,134,124,123,156,125,125,149,143,142,140,143,146,148,150,152,154,154,152,153,152,150,146,137,120,117,131,143,133,135,121,119,161,106,98,153,144,144,143,144,147,149,151,153,154,154,156,158,165,165,162,149,134,124,127,130,123,117,116,98,95,89,132,151,147,146,143,145,148,151,151,152,152,158,169,170,166,149,135,114,99,78,73,78,89,96,100,111,126,144,152,149,149,146,143,145,148,148,162,170,153,154,153,146,130,122,113,97,93,82,70,124,141,148,153,157,158,155,150,151,150,149,143,146,150,147,183,171,144,139,135,143,151,149,136,126,126,130,77,114,167,155,156,155,155,154,154,152,152,151,143,146,150,153,173,140,130,138,145,154,160,156,146,137,126,109,66,75,165,157,158,157,156,156,154,152,152,151,144,148,147,170,179,137,131,134,139,147,151,152,140,122,116,96,50,54,149,162,158,157,157,157,154,155,153,152,146,151,148,175,154,139,143,138,140,142,151,154,137,111,117,111,51,39,121,168,157,158,157,158,157,157,154,152,147,151,150,169,157,160,153,152,153,161,165,153,137,128,124,97,59,42,106,169,158,159,158,157,157,157,155,154,147,151,151,164,185,182,149,148,150,149,146,140,130,118,97,68,59,49,94,169,159,160,159,159,159,158,156,154,149,153,152,163,194,183,153,143,130,108,106,118,115,114,111,57,50,56,112,170,160,161,160,160,159,158,158,155,150,152,151,167,182,176,161,140,123,127,146,148,129,121,131,78,37,82,163,162,162,161,161,161,160,160,158,156,150,154,151,170,174,178,173,142,136,152,159,138,122,114,103,77,51,110,171,161,162,162,162,161,160,160,159,157,151,155,152,170,178,169,166,146,140,147,145,133,116,101,79,64,59,134,171,164,163,162,163,163,162,161,159,158,151,155,152,168,177,170,161,148,140,139,122,109,87,68,61,56,80,159,167,165,165,164,163,163,161,161,159,158,151,156,150,162,173,173,158,140,126,113,87,66,40,34,47,93,155,169,166,166,166,167,165,163,161,161,159,158,150,154,149,158,169,158,135,122,109,87,63,45,31,47,76,160,173,166,165,167,167,165,164,165,162,160,159,158,149,154,149,151,163,139,123,119,111,76,59,56,40,55,127,171,164,167,166,165,164,162,163,164,162,160,158,156,150,155,145,142,156,128,126,127,97,69,62,65,49,104,170,167,166,167,167,165,164,163,162,162,161,160,158,157,150,154,142,138,150,120,132,127,89,68,61,67,95,165,169,167,168,167,167,166,164,163,163,162,161,160,159,158,150,156,139,140,144,124,136,122,89,67,62,70,146,173,166,168,169,166,166,166,165,165,164,163,161,160,159,158,148,156,131,147,147,122,130,108,77,61,66,79,157,169,167,168,168,166,165,165,166,164,165,164,162,160,159,158,148,151,125,156,141,116,114,87,67,62,66,97,169,165,165,164,165,164,163,164,164,161,163,162,161,160,160,157
5,117,121,124,127,131,134,136,138,139,141,143,143,144,144,143,143,143,144,143,141,142,141,140,139,138,137,137,136,118,123,126,129,133,136,138,141,141,143,144,145,145,145,145,145,144,144,144,145,143,144,142,141,140,139,139,138,120,125,129,133,136,137,140,142,143,145,146,147,149,148,148,147,145,155,97,129,149,145,145,144,143,143,139,138,122,127,131,134,137,138,141,144,146,145,155,136,103,154,149,147,159,146,72,125,153,147,146,145,145,144,142,140,125,129,133,136,139,141,143,146,149,145,164,127,75,154,152,152,167,99,87,155,150,150,149,148,146,145,144,144,126,130,134,137,141,142,148,149,150,146,177,100,95,163,151,165,139,65,129,158,151,151,150,150,149,148,146,146,127,131,136,139,141,153,121,141,153,157,178,71,123,164,157,163,100,87,161,155,153,153,153,153,152,150,149,149,129,133,138,142,141,165,104,107,157,171,163,66,145,162,160,131,74,137,164,157,157,156,156,155,154,153,152,152,131,135,139,143,144,162,131,84,160,174,124,77,158,156,150,82,97,167,160,160,159,158,158,158,156,156,154,154,132,136,140,144,145,156,153,76,154,162,82,93,166,144,138,69,133,170,161,161,161,161,160,159,158,159,158,156,133,138,142,146,150,152,173,101,126,162,91,96,156,135,122,77,152,168,163,166,166,164,161,160,160,159,160,159,135,140,144,148,152,151,173,136,92,156,103,86,116,123,94,91,170,167,163,149,153,165,167,162,161,161,161,161,136,141,146,148,153,154,166,167,114,102,103,86,95,114,78,106,173,156,156,159,151,142,143,167,163,163,162,161,138,142,148,151,155,158,158,168,154,107,94,100,95,100,77,99,139,152,142,142,153,155,116,141,171,164,164,163,139,144,148,152,155,159,160,160,176,156,112,96,82,82,74,96,107,115,98,86,122,134,140,102,144,169,165,165,139,143,147,152,156,159,164,161,188,189,130,93,79,74,71,89,96,76,103,152,174,166,144,140,106,166,167,166,141,145,151,154,158,159,164,162,177,203,145,93,76,74,73,83,81,102,176,176,173,165,155,115,130,175,167,169,141,146,152,155,158,160,165,165,169,204,144,96,78,73,70,84,67,128,188,171,174,150,132,85,154,175,170,171,142,147,152,156,160,162,166,165,166,191,138,99,80,69,68,86,87,98,147,180,166,145,110,79,156,176,171,171,144,148,152,157,160,163,166,166,164,195,141,101,86,71,70,83,93,108,108,115,145,145,95,102,174,174,173,172,143,148,153,158,160,163,167,166,167,193,139,112,95,74,68,86,99,115,125,99,131,130,93,143,180,175,174,173,144,150,154,158,161,165,168,166,169,184,141,120,97,77,67,93,114,122,127,105,103,114,107,176,175,175,175,174,145,150,155,159,163,165,169,167,166,183,145,121,96,80,68,96,117,119,116,99,90,92,145,183,175,176,174,174,145,151,157,160,164,166,170,168,169,177,141,117,98,84,76,92,108,107,105,92,96,146,180,179,178,178,176,176,147,152,157,161,164,166,170,167,182,179,135,114,103,86,83,92,104,104,96,95,163,185,179,179,179,179,178,178,147,153,157,162,165,166,171,164,189,188,148,120,99,88,83,90,96,90,91,146,185,178,180,179,179,179,179,178,147,153,158,161,165,166,172,166,186,178,145,107,85,88,89,91,92,104,158,184,180,181,181,180,180,180,179,178,148,153,157,161,165,167,172,171,186,175,148,107,84,88,88,87,105,172,189,181,181,182,181,181,180,180,180,178
7,194,196,197,199,200,201,202,203,204,205,205,205,204,204,204,204,205,206,205,205,205,203,202,202,201,198,196,195,196,196,198,200,202,204,204,206,205,205,206,207,206,206,207,207,207,208,207,207,207,206,205,203,203,201,200,199,196,199,200,202,204,205,207,208,208,208,208,208,209,209,210,210,210,209,208,209,209,208,207,205,204,203,203,201,197,201,203,204,205,207,208,209,210,209,210,211,211,211,211,210,210,211,210,209,210,209,208,207,206,206,204,203,200,203,205,207,208,208,209,211,211,211,212,212,211,213,212,212,212,212,212,211,211,211,210,208,208,208,207,204,201,204,206,208,209,210,211,212,212,213,213,213,213,214,215,214,214,214,214,213,213,212,211,210,210,210,209,206,203,205,208,209,209,212,214,215,215,214,216,216,215,215,216,216,216,216,216,216,215,214,214,212,212,210,211,210,204,206,209,210,211,213,214,215,215,218,216,216,218,217,216,217,218,217,217,217,217,215,216,212,210,212,210,210,205,207,209,211,212,213,214,219,224,226,203,182,197,210,211,209,211,216,214,214,210,213,206,217,225,209,211,209,208,209,209,212,215,222,225,225,228,227,219,180,163,188,199,197,199,194,191,199,196,204,194,213,203,201,216,211,207,211,220,225,228,227,224,222,215,212,208,176,155,169,185,193,194,190,188,185,182,188,178,174,170,204,212,212,222,229,228,227,224,219,214,204,198,206,214,188,155,148,153,165,179,190,183,181,189,188,182,193,191,192,208,199,238,231,224,219,212,208,204,201,205,212,217,192,159,157,157,150,149,141,153,162,162,169,164,167,174,174,174,195,234,228,219,209,200,195,194,197,201,211,200,174,153,152,165,172,165,142,162,216,208,203,199,199,197,199,206,221,229,224,219,207,198,196,197,193,190,201,206,180,145,133,151,161,163,160,145,223,230,227,228,228,226,225,224,220,224,222,219,212,206,201,201,201,198,203,214,190,159,158,162,152,153,134,171,233,224,226,225,224,223,222,222,221,219,215,213,212,210,205,202,199,199,203,207,189,167,171,173,164,160,144,223,230,227,229,227,226,226,224,224,223,204,202,205,210,211,209,202,197,196,195,180,169,156,150,157,162,139,191,238,226,228,228,228,227,227,227,225,226,122,131,158,192,210,204,192,184,175,164,157,148,114,97,116,144,142,223,231,228,228,229,227,226,224,224,229,201,67,66,73,96,139,170,159,165,172,188,211,223,148,109,133,149,199,235,230,230,230,228,225,229,231,236,195,132,69,64,61,57,58,70,181,226,230,235,233,238,220,181,204,223,235,231,232,231,229,229,236,221,185,167,129,110,62,58,56,58,42,94,243,229,230,229,230,230,232,236,235,233,230,233,232,230,233,233,198,145,125,116,107,96,57,54,52,53,38,98,240,227,230,231,231,232,231,230,230,231,233,233,232,234,231,160,105,104,119,109,102,96,54,56,53,54,31,91,245,229,233,233,233,235,235,234,234,235,235,234,236,237,184,122,96,79,97,97,91,94,61,64,60,51,22,82,228,216,222,224,225,226,228,228,229,231,231,232,230,159,110,129,95,71,77,91,85,87,71,66,53,33,28,58,145,141,144,146,148,151,155,155,157,160,158,163,162,113,91,123,92,65,68,78,79,80,78,60,37,31,32,75,137,128,128,130,129,130,130,130,131,128,128,145,143,104,84,116,88,63,66,71,74,75,71,44,33,39,33,99,147,138,140,141,140,139,140,138,139,137,141,130,115,99,82,108,82,64,62,67,70,72
10,132,140,143,146,151,157,164,167,171,175,178,181,184,186,188,190,192,193,195,195,192,197,196,197,196,196,195,194,135,142,145,148,153,159,166,171,174,177,180,183,187,187,189,194,195,196,195,203,209,180,200,200,200,198,198,197,135,144,147,148,155,162,168,173,176,179,181,186,188,189,194,196,197,197,191,224,230,155,198,202,202,201,200,200,136,144,147,150,158,164,169,173,177,181,183,187,190,192,196,198,199,201,194,231,238,156,192,206,203,203,202,202,139,146,148,152,158,166,172,175,179,182,185,188,192,196,197,200,202,203,198,226,253,169,185,210,204,205,206,205,140,148,150,153,161,167,172,176,180,184,187,191,195,197,198,201,203,205,201,221,255,193,174,214,207,208,208,207,142,149,151,156,163,169,174,179,184,187,190,194,197,198,201,202,203,206,203,220,255,211,162,215,210,210,210,210,144,150,153,158,165,171,176,181,186,189,192,196,198,201,201,203,209,209,206,217,255,222,157,214,212,211,212,212,145,152,153,159,166,173,178,183,188,189,193,198,200,199,214,214,175,211,210,216,255,227,152,210,216,213,213,213,147,154,157,160,168,174,179,183,187,197,197,194,201,203,233,231,145,169,217,218,255,234,153,204,220,216,217,217,149,155,157,162,170,176,180,186,186,228,193,142,142,152,195,231,205,172,198,226,255,229,155,191,223,217,219,218,149,155,158,164,172,178,182,188,191,206,170,129,124,132,130,208,255,209,152,228,242,223,168,177,227,219,220,220,150,157,160,165,173,179,184,189,194,198,188,169,154,149,143,154,233,217,147,181,200,203,174,167,228,222,222,222,152,158,162,167,175,182,187,191,196,200,206,202,231,225,136,119,215,246,189,128,138,163,167,148,222,224,223,223,154,159,163,169,176,183,188,193,198,202,203,212,255,224,114,100,173,255,218,148,115,137,152,134,208,229,224,225,155,160,165,170,177,184,189,195,199,205,200,245,255,215,125,125,119,255,242,186,130,123,150,134,198,233,224,226,156,161,164,171,178,185,191,195,201,206,203,242,255,247,148,93,136,249,255,210,151,117,145,135,202,236,227,229,157,163,165,172,180,186,192,197,202,206,208,215,253,255,182,131,161,249,255,207,154,126,136,131,207,238,230,230,158,163,167,173,181,188,194,198,203,206,210,209,235,239,179,167,175,255,250,221,171,135,134,128,213,237,231,233,160,165,168,175,183,188,194,200,204,208,211,215,214,231,230,191,208,255,247,230,193,148,133,126,219,237,233,234,161,166,169,176,183,189,195,201,206,209,213,218,215,250,255,240,241,255,252,223,196,160,137,123,221,237,234,235,161,165,169,176,183,189,195,200,205,210,213,218,217,240,255,255,255,255,252,223,197,168,143,125,223,239,237,237,161,164,168,175,183,188,194,199,205,208,213,217,217,229,255,255,255,255,250,222,193,175,150,127,224,238,235,236,162,166,169,177,185,191,196,201,206,210,214,218,220,227,255,255,255,255,247,223,200,182,154,123,223,239,237,237,162,166,170,177,186,191,197,203,207,211,215,219,222,222,255,255,255,255,245,230,208,179,150,125,231,239,238,239,162,166,171,179,187,192,198,203,207,212,216,220,223,221,248,255,255,255,240,241,218,176,142,134,241,237,240,241,162,167,171,178,186,191,198,204,210,214,217,221,224,229,242,255,247,246,244,242,229,177,133,136,246,243,240,241,158,164,169,176,184,189,197,204,208,212,217,219,225,193,127,227,245,255,253,240,233,173,132,88,94,204,248,240
8,159,164,171,174,176,177,183,187,189,190,190,191,193,194,194,194,195,195,195,195,196,195,195,193,193,193,191,192,161,167,174,179,177,194,186,184,193,193,194,195,196,196,197,196,196,197,196,196,197,196,195,194,194,192,191,192,165,172,179,183,180,217,179,158,202,197,199,199,200,200,200,200,201,201,200,199,198,199,198,197,196,195,193,192,168,175,182,186,186,231,175,142,207,203,204,205,206,206,205,205,204,206,205,203,203,203,201,201,200,198,196,195,171,179,185,190,191,244,174,142,213,209,210,211,211,210,210,212,212,208,209,212,207,206,206,206,205,202,201,198,175,182,189,194,196,242,170,147,218,213,215,215,220,217,217,208,207,226,213,185,210,213,211,211,208,206,205,204,179,187,193,198,200,246,183,146,220,218,219,221,192,205,249,199,147,205,239,164,165,220,215,216,214,211,209,207,183,191,196,201,206,249,190,154,217,221,236,255,194,184,240,214,167,182,213,191,147,198,226,219,219,216,214,212,187,194,201,206,209,250,215,182,207,230,255,255,251,229,201,200,214,238,180,140,145,171,232,222,222,221,219,217,190,198,205,211,211,246,221,208,221,244,243,245,255,209,204,209,220,219,189,142,109,150,235,225,226,225,223,220,193,201,209,214,213,243,233,218,240,247,222,191,255,217,198,209,190,181,202,164,104,161,241,227,229,227,226,225,196,203,210,216,216,243,248,215,234,236,233,186,211,235,165,145,140,191,216,176,124,199,241,232,232,230,229,228,199,207,213,219,219,246,255,186,217,217,197,193,191,230,170,111,104,234,232,194,137,187,247,234,236,233,231,231,202,211,216,221,222,246,255,196,167,211,174,176,185,212,200,150,118,215,255,210,152,135,240,240,238,236,234,232,204,212,218,223,224,244,255,224,158,175,192,171,200,218,209,153,221,247,246,217,165,118,208,252,240,239,237,236,207,214,220,225,227,243,255,238,180,154,200,172,229,247,215,211,255,251,218,189,161,126,207,255,243,242,239,237,209,216,222,228,231,244,255,246,204,161,174,184,225,255,253,255,255,229,207,169,147,135,238,250,246,247,251,249,211,219,224,230,233,247,255,255,221,180,169,187,217,255,255,255,250,216,187,162,123,170,255,255,255,240,197,149,212,220,227,232,235,247,255,255,231,201,183,190,208,255,255,255,235,204,175,147,120,227,238,191,157,115,90,87,213,221,228,233,236,246,255,255,241,212,203,189,203,245,255,249,219,188,164,138,122,142,104,87,89,97,97,94,215,223,229,234,238,243,255,255,250,221,223,193,193,227,255,243,210,177,156,130,103,81,85,89,85,99,101,89,215,223,229,235,240,241,250,255,255,230,225,202,185,220,235,235,200,168,149,124,92,82,82,96,80,85,100,99,216,224,229,235,240,244,243,255,251,236,221,201,167,211,216,221,186,156,140,104,91,84,69,88,92,78,86,96,215,223,229,234,239,245,237,252,254,237,218,194,165,183,210,196,174,148,130,74,75,97,73,74,94,86,75,85,216,224,230,234,238,245,239,251,255,245,219,194,169,166,198,186,163,142,115,64,59,87,90,70,81,91,80,79,217,224,230,234,239,245,241,251,255,236,209,193,169,164,178,177,155,127,101,83,50,71,93,82,68,87,88,77,219,225,231,235,239,247,232,252,253,209,210,199,175,162,165,171,152,105,82,96,57,57,83,91,74,75,86,82,212,220,226,233,236,250,186,251,255,218,227,208,181,158,160,166,144,82,67,96,70,48,72,90,84,74,77,85
12,152,157,161,162,166,169,170,171,172,174,174,175,178,180,179,179,179,178,179,179,179,179,177,176,175,175,175,173,155,158,161,163,167,169,171,173,173,174,175,178,179,179,180,180,181,180,180,180,179,178,178,178,177,176,176,174,156,159,163,165,167,169,171,173,175,177,178,179,180,180,177,180,183,183,180,181,180,180,180,179,179,176,177,177,156,159,163,166,168,171,172,175,177,178,177,180,178,175,203,179,153,171,185,181,182,179,181,180,180,179,179,177,157,161,165,167,169,171,174,177,179,175,193,219,197,153,198,209,144,119,183,181,183,184,181,181,181,179,179,178,158,162,166,168,170,173,177,179,181,175,222,245,217,171,130,195,178,109,163,202,162,162,184,182,181,180,179,179,159,162,165,169,172,174,177,179,181,175,219,226,228,198,169,132,168,143,136,213,157,113,159,188,181,181,181,180,160,163,167,170,173,175,177,180,179,174,215,191,177,205,171,97,146,162,98,147,162,101,116,189,183,182,181,181,160,164,169,171,173,175,179,174,190,213,170,149,163,182,166,143,163,129,77,104,137,101,100,185,185,182,181,182,161,165,169,172,174,178,175,189,243,211,151,105,137,191,193,193,174,138,115,166,121,95,102,186,185,183,182,184,161,166,170,172,174,178,173,230,230,195,160,109,78,164,180,172,187,198,182,173,115,86,113,193,185,185,185,185,162,166,170,173,177,173,199,223,207,212,170,118,57,93,125,156,185,221,206,167,110,69,142,194,185,186,186,185,164,167,171,173,178,171,225,214,199,216,177,133,70,71,72,99,177,204,212,186,151,96,169,193,186,186,186,185,163,168,171,175,172,199,226,200,182,222,201,153,78,79,81,134,205,195,187,161,164,128,136,195,186,187,187,186,161,166,171,174,169,227,230,200,154,176,219,166,99,71,156,216,207,190,181,144,141,127,117,192,188,187,188,187,162,167,169,171,170,234,233,200,155,131,179,210,133,146,234,204,197,184,170,141,122,105,134,194,188,187,187,187,164,168,172,173,178,243,235,200,183,181,142,151,162,233,234,207,192,184,158,138,111,95,159,195,189,188,187,187,163,168,173,172,180,244,231,209,208,198,166,163,223,237,234,213,179,168,145,135,106,100,181,193,190,190,188,187,164,169,173,172,179,239,234,223,214,200,180,175,225,235,222,202,171,149,141,128,99,120,195,191,191,190,188,188,163,168,170,174,176,233,240,229,214,196,182,175,218,228,209,185,156,143,143,117,92,159,198,191,192,192,189,186,161,165,169,175,169,214,237,222,210,199,188,184,208,213,192,166,149,147,140,102,113,192,192,190,190,189,187,186,164,169,172,178,174,199,230,210,200,196,188,184,201,207,183,160,146,142,125,97,168,200,194,194,194,193,192,192,138,140,141,144,137,172,227,194,193,193,182,167,188,207,181,150,134,128,110,103,142,141,139,139,139,138,138,138,100,98,97,101,88,134,230,187,192,195,181,165,178,200,163,128,119,115,103,94,89,90,89,88,87,87,87,88,109,108,107,110,100,137,235,194,203,200,182,166,172,195,149,120,111,106,101,102,100,100,99,98,98,96,96,96,108,107,108,111,100,137,240,208,217,209,188,167,162,189,148,122,103,99,102,103,102,99,98,97,98,96,96,96,109,107,108,112,102,131,235,218,225,208,187,162,153,183,150,120,102,98,101,102,102,100,99,99,98,99,98,94,108,109,109,110,105,119,226,219,220,196,179,164,149,171,145,113,100,97,102,101,100,99,98,98,100,98,94,103
24,196,200,203,208,209,211,214,216,218,218,219,219,220,221,221,221,221,221,222,222,222,222,222,221,220,219,218,218,199,203,207,211,212,214,218,219,220,221,221,222,223,223,223,225,225,225,226,225,225,226,225,225,223,221,221,220,201,205,209,213,216,219,221,221,223,224,224,225,226,227,226,227,226,227,226,226,226,227,228,227,226,225,224,223,203,207,212,216,220,222,223,225,227,226,226,227,228,228,230,230,230,230,229,229,229,230,231,230,228,228,227,226,207,214,213,219,222,224,225,227,228,228,230,231,232,232,233,232,232,233,233,234,233,232,233,232,230,230,229,227,188,175,223,220,224,226,228,230,229,231,232,233,233,233,234,234,235,236,235,236,236,235,235,234,234,231,231,231,177,119,223,224,226,228,231,233,233,233,235,237,237,236,237,237,239,239,237,238,239,238,237,240,240,238,239,233,176,110,215,227,229,231,232,236,239,242,238,230,225,244,238,240,240,240,240,241,240,241,241,235,220,186,189,243,162,95,217,231,231,234,239,234,208,206,240,204,162,179,247,241,240,241,242,242,242,242,234,200,173,112,168,248,150,92,216,234,227,187,191,241,191,147,208,216,186,139,209,250,241,242,243,243,244,242,233,194,120,149,247,241,168,102,203,239,243,202,174,231,210,185,183,230,211,171,163,254,243,245,244,246,243,240,225,158,120,245,245,241,180,123,189,240,251,247,203,190,238,212,165,201,230,181,137,237,248,246,248,248,242,236,202,107,172,255,243,244,206,188,201,232,230,255,236,167,199,236,184,154,224,168,106,229,255,250,245,234,234,214,134,116,245,249,246,245,228,224,213,229,213,202,244,157,123,240,206,125,145,133,85,200,229,223,212,200,203,150,102,229,255,249,248,248,220,234,227,224,222,203,199,151,95,175,175,106,62,105,137,189,217,221,200,170,148,99,196,255,250,251,251,249,225,241,227,225,221,198,184,160,124,100,119,81,65,150,225,240,234,216,181,146,111,149,255,252,252,252,252,251,227,238,227,190,200,194,177,168,147,128,131,129,188,225,239,235,218,197,157,115,102,241,255,254,255,254,253,252,230,234,237,212,178,182,211,193,184,164,155,214,246,241,235,224,204,174,133,86,183,255,255,255,255,255,255,254,232,233,248,248,211,180,184,204,226,225,228,255,247,240,228,209,182,146,95,152,255,255,255,255,255,255,255,255,230,232,239,252,229,199,180,192,212,245,253,248,248,240,216,185,152,109,112,253,255,255,255,255,255,255,255,255,230,237,234,246,252,218,193,194,217,247,254,255,255,230,191,157,126,89,204,255,255,255,255,255,255,255,255,253,231,237,237,250,255,250,215,211,221,255,255,255,242,202,164,130,95,133,255,255,255,255,255,255,255,255,255,255,231,235,238,239,254,255,237,220,224,250,255,247,214,173,137,110,85,222,255,255,255,255,255,255,255,255,252,246,234,236,242,230,225,249,237,225,226,230,233,225,193,149,114,81,134,255,255,255,255,255,255,255,255,248,240,166,226,232,236,241,220,223,229,223,217,199,195,205,182,135,103,78,211,255,255,255,255,255,255,255,242,232,255,222,138,145,145,153,152,199,229,213,198,178,180,193,168,136,105,89,192,222,224,228,231,240,245,236,242,222,219,157,127,127,125,126,119,155,217,178,172,174,192,205,166,145,124,93,115,127,124,127,128,130,137,221,255,214,209,158,131,134,141,140,137,134,194,172,183,198,202,207,171,140,135,98,125,144,143,143,138,138,183,185,239,250,128,193
15,132,132,127,81,137,101,22,73,83,83,85,89,93,99,113,125,134,140,144,147,152,157,162,166,169,172,174,175,137,136,126,85,142,94,24,76,83,84,87,91,94,99,115,126,136,142,144,147,153,159,164,167,170,174,176,178,141,139,123,91,148,86,27,80,83,84,88,91,95,101,116,128,138,144,146,150,156,161,166,171,172,175,178,180,145,144,119,98,154,76,31,82,83,85,89,92,95,102,118,128,138,146,149,151,157,162,167,172,175,176,179,181,147,148,113,107,156,66,37,84,83,86,89,93,95,104,119,130,140,147,150,153,159,165,170,173,176,179,181,183,150,152,107,116,157,57,44,85,84,87,90,94,96,104,119,132,142,148,151,155,161,167,171,174,178,181,183,185,153,156,102,127,156,45,46,83,82,84,88,92,95,105,121,133,143,150,153,157,163,168,173,176,180,183,185,186,156,160,100,150,161,108,105,123,117,114,109,103,99,107,120,133,143,151,153,158,164,168,173,177,180,183,186,187,158,160,114,178,147,145,141,166,152,150,152,157,142,127,118,130,140,142,144,159,165,169,174,178,181,186,187,188,158,160,99,146,106,109,110,139,124,121,151,165,143,123,129,155,164,143,119,116,166,172,175,180,183,186,188,190,160,160,92,153,119,61,82,106,102,99,133,149,131,111,144,165,160,156,161,105,117,172,179,181,185,188,190,192,164,158,92,168,133,22,76,89,88,90,96,118,121,138,178,159,146,173,172,150,101,106,178,184,186,189,191,194,167,155,95,173,123,23,83,90,89,88,100,133,136,138,173,141,136,169,157,166,127,86,106,181,189,189,193,195,170,151,101,179,114,23,86,89,88,89,170,158,114,104,108,108,142,151,155,148,132,109,76,101,177,195,194,196,175,145,108,184,103,26,89,90,86,96,179,173,129,95,60,72,145,162,156,118,107,103,90,72,87,173,199,198,181,140,120,187,93,30,91,89,87,82,150,188,160,143,122,129,140,142,132,94,83,89,84,80,70,88,190,200,185,133,130,188,81,34,94,88,89,128,171,175,169,143,124,125,121,118,123,100,81,84,81,78,74,65,121,207,188,126,140,186,72,39,95,82,152,170,160,138,156,130,91,104,102,101,102,89,81,86,84,79,76,74,71,151,190,119,147,186,63,44,96,85,160,141,121,110,125,100,78,82,79,77,79,82,88,100,98,80,74,78,76,77,191,113,158,185,52,49,98,88,107,101,84,103,101,81,75,86,77,67,93,99,108,117,102,74,72,78,79,76,194,109,167,182,45,54,97,89,87,87,88,118,162,129,98,94,92,79,87,99,106,106,91,73,74,81,83,81,194,106,177,180,39,59,97,89,88,89,92,92,112,112,85,71,105,123,75,81,103,98,84,79,80,87,84,82,196,104,189,180,32,65,97,88,87,89,90,92,97,113,125,135,146,129,106,102,95,87,83,85,88,86,82,81,194,104,196,176,26,69,97,88,86,87,89,91,98,117,133,146,158,145,74,90,111,115,104,95,81,68,62,59,189,109,203,168,23,74,96,88,86,87,88,89,98,116,132,144,160,122,68,61,123,102,66,45,31,26,25,17,183,112,207,158,21,78,93,86,84,85,86,88,97,115,131,145,160,101,75,73,35,40,39,28,24,20,17,12,174,120,211,147,20,82,92,84,82,84,85,86,95,114,131,147,150,88,71,72,53,18,42,30,24,20,17,12,168,131,216,137,21,85,91,83,81,82,84,85,94,112,130,147,134,76,71,69,66,10,30,30,20,15,16,11
12,177,179,181,180,180,181,182,181,182,184,183,182,184,186,184,184,184,183,183,183,184,184,182,182,182,181,181,181,180,182,182,183,183,184,185,185,185,186,186,187,186,183,186,188,186,184,185,184,186,186,185,185,184,184,183,181,182,182,184,185,186,187,186,188,187,188,186,175,184,201,176,164,184,189,188,187,187,189,187,185,185,185,185,183,183,185,187,186,187,188,187,189,186,217,201,166,145,223,195,150,138,196,187,190,193,188,189,188,188,188,187,187,185,187,189,189,189,189,191,190,194,243,222,189,127,198,227,177,107,174,185,155,172,196,190,191,191,190,190,188,188,189,190,192,192,192,192,190,199,244,238,200,137,159,240,193,139,101,178,151,107,179,196,193,194,192,191,190,189,190,191,192,192,195,196,192,203,234,241,206,154,128,231,200,164,93,144,164,88,128,206,193,197,195,194,193,189,191,193,193,194,196,197,193,207,220,229,221,169,110,196,209,164,110,87,145,96,118,209,196,197,196,195,194,191,193,195,197,197,198,196,197,198,179,208,222,198,154,134,197,152,95,50,100,93,128,210,197,199,197,198,197,194,195,197,197,200,192,201,227,170,139,164,187,198,153,88,110,113,58,84,128,78,144,211,198,201,199,199,200,194,194,198,201,196,212,240,214,139,114,121,112,153,116,81,96,137,112,161,143,78,173,207,200,202,201,200,199,196,197,198,196,211,245,222,185,139,116,79,73,94,138,129,145,186,214,187,124,77,195,211,202,204,203,202,202,196,198,200,199,234,214,188,196,162,133,82,77,82,81,94,117,171,223,228,205,140,117,196,208,204,204,203,204,198,197,198,204,232,204,175,201,174,135,94,70,92,94,92,84,176,211,230,209,168,121,111,211,205,204,204,204,199,197,196,223,230,200,160,185,190,178,135,77,96,116,104,175,219,207,200,179,170,162,99,186,212,206,206,205,198,201,200,218,243,217,177,129,185,211,153,92,91,119,173,226,219,208,192,147,153,145,101,198,211,207,207,207,200,200,201,212,242,230,201,148,134,169,200,170,94,192,235,218,210,196,180,144,124,104,118,218,208,207,208,208,200,201,202,212,243,237,209,169,163,141,153,150,172,242,233,220,203,187,166,138,105,77,161,219,210,210,209,208,201,201,202,209,235,238,222,182,179,171,128,162,236,236,235,216,187,173,146,131,92,86,203,212,210,212,211,210,200,201,200,204,226,232,232,203,186,174,167,161,229,234,231,205,169,152,132,126,80,125,222,209,211,212,212,211,200,199,202,198,214,235,236,221,198,178,180,156,213,232,214,192,152,130,135,115,71,170,219,209,211,211,211,210,200,200,203,200,197,237,237,223,202,182,175,166,194,225,193,170,137,123,140,97,85,209,213,211,210,210,210,209,201,202,203,207,195,225,225,202,190,180,175,173,178,198,177,146,130,131,126,77,138,223,210,212,211,211,211,211,200,202,204,210,198,218,214,185,178,175,176,167,170,178,166,151,127,124,102,89,203,216,212,212,211,211,211,211,200,204,204,207,201,214,211,188,187,187,180,167,163,179,175,144,109,107,77,161,222,212,214,213,213,213,213,212,202,203,205,205,202,210,218,200,198,193,184,177,159,186,167,119,98,83,110,218,211,215,213,213,213,213,213,212,199,201,205,208,205,208,227,204,206,200,188,186,150,180,147,113,96,76,181,223,214,215,215,215,214,213,213,212,129,132,133,140,137,180,237,215,212,210,194,187,146,168,140,116,83,92,200,201,204,206,209,211,212,213,212,211
23,184,186,186,187,188,188,188,189,189,189,189,189,189,189,189,190,189,188,188,187,187,186,186,186,185,184,184,175,186,187,187,188,189,190,190,190,191,192,191,191,191,191,191,192,192,190,188,189,188,188,187,186,185,186,184,184,187,188,189,191,191,192,192,192,192,193,193,193,193,193,193,193,193,193,193,190,190,189,189,188,188,187,187,186,189,191,192,192,192,192,192,193,193,194,194,194,194,194,194,194,194,195,194,193,193,192,192,191,191,190,189,188,191,192,192,193,194,194,194,195,194,195,195,195,195,195,194,195,195,196,195,195,194,190,189,187,185,192,191,190,192,193,194,195,196,196,196,196,195,196,196,197,196,195,195,196,196,196,203,211,202,193,184,153,136,193,193,192,193,194,195,195,196,197,197,197,197,197,198,199,198,197,198,198,199,209,217,209,171,158,153,125,144,195,194,194,195,195,196,198,198,199,200,199,199,200,200,199,201,200,199,202,217,216,192,164,117,144,163,175,193,196,196,196,196,196,197,199,200,200,200,200,201,200,200,200,201,200,199,216,226,191,124,125,166,197,198,197,197,197,196,196,197,198,199,200,200,200,201,201,201,201,201,201,202,200,207,224,224,160,108,180,201,200,199,199,199,197,198,198,198,199,200,200,200,201,202,201,201,202,202,203,203,202,217,223,217,171,172,199,181,190,199,188,187,201,200,199,199,199,200,201,201,201,202,202,202,202,202,201,203,204,215,214,201,210,214,208,159,145,182,173,153,200,201,199,199,200,201,201,202,201,201,203,203,203,197,184,186,198,204,203,148,185,189,188,150,111,161,173,131,199,202,201,200,201,202,202,204,203,202,204,204,211,206,185,164,174,187,203,186,206,207,192,142,92,128,149,121,200,203,201,201,202,203,203,203,203,204,205,207,220,220,212,190,179,170,168,160,166,184,189,152,91,80,102,97,183,205,203,199,201,203,204,203,204,205,205,205,218,227,219,210,192,173,182,171,155,149,151,145,109,73,81,84,139,206,204,198,200,202,202,202,203,203,205,202,214,229,217,208,180,145,157,182,177,161,142,108,115,80,72,85,117,203,204,199,201,202,202,202,203,204,206,201,214,227,223,213,156,116,105,147,157,143,119,89,111,86,67,85,150,205,202,201,202,202,203,203,204,204,206,200,214,228,230,210,149,97,67,107,160,127,85,95,123,92,69,104,189,204,202,201,201,203,204,203,205,205,206,198,215,231,225,195,151,104,55,118,143,98,62,115,127,93,77,157,206,203,203,200,201,202,202,203,205,205,205,199,218,230,215,182,145,108,61,105,109,54,63,127,116,82,108,198,206,204,204,201,201,201,202,203,204,206,204,204,222,227,206,173,140,107,60,89,85,41,93,122,91,78,160,208,205,205,205,202,202,202,203,205,206,207,203,209,226,220,194,167,141,111,66,81,72,52,107,102,76,99,195,208,206,206,205,169,171,173,176,180,184,188,188,209,219,208,180,158,139,113,69,74,72,73,91,87,83,154,208,208,208,208,207,106,105,104,107,110,110,109,134,205,212,197,166,154,150,112,75,66,78,97,94,84,91,148,161,163,166,168,170,103,102,101,101,102,102,99,129,202,206,189,164,166,160,109,86,72,88,106,104,92,95,96,98,100,99,101,109,103,104,104,103,104,104,102,140,205,202,190,174,176,163,117,94,82,93,102,98,97,104,104,107,113,132,160,183,103,105,105,105,105,106,102,152,214,211,202,186,181,163,125,97,86,91,97,96,105,115,132,166,191,206,203,206
6,122,125,128,131,134,137,139,142,143,145,147,147,148,150,151,151,152,152,152,152,153,153,153,152,152,152,151,150,123,127,130,133,135,137,140,142,144,145,147,147,149,150,151,152,152,152,153,153,153,153,153,153,153,153,152,151,123,126,129,132,136,138,140,142,144,145,148,148,150,150,152,153,153,153,154,154,154,154,154,154,154,153,152,152,124,127,130,133,137,140,143,144,145,146,148,150,151,152,152,153,153,154,155,155,155,156,156,154,154,153,154,154,125,129,132,135,138,140,142,144,145,147,148,151,152,153,153,153,155,157,157,156,156,156,156,155,156,154,155,155,125,128,133,136,138,141,143,145,147,147,148,151,153,154,153,154,157,156,157,157,157,158,159,158,158,156,155,155,126,130,133,136,138,140,143,145,147,146,148,147,149,152,149,150,150,155,154,149,149,139,137,147,154,157,157,156,127,131,135,134,140,152,156,145,147,153,157,159,162,166,154,157,157,171,167,155,151,136,123,141,144,129,159,156,126,127,129,147,166,172,165,144,130,138,159,164,166,163,152,149,158,155,151,150,142,130,122,130,124,116,161,156,122,135,158,173,170,168,163,151,115,92,112,118,121,123,123,121,115,111,115,114,112,112,118,125,129,152,159,156,152,174,173,163,164,170,173,154,115,78,70,64,66,86,97,107,127,144,149,151,154,156,159,159,160,159,157,157,175,169,164,167,172,171,153,118,102,84,77,78,69,78,137,164,161,160,159,161,161,160,159,158,158,157,158,158,172,168,169,167,167,157,143,122,96,81,75,84,88,78,84,108,159,161,159,160,160,160,160,159,160,159,158,158,172,171,169,167,168,167,173,149,97,82,69,69,86,90,88,62,91,162,160,160,161,160,160,160,159,160,159,158,167,168,167,165,167,176,172,134,97,86,87,83,76,77,88,87,58,102,167,160,161,161,160,159,159,160,158,157,165,166,163,162,170,177,148,116,99,93,90,92,90,68,66,72,74,76,162,162,161,160,160,159,160,160,159,158,158,158,156,156,163,164,143,114,90,82,89,98,106,87,74,66,62,103,161,157,158,157,156,156,156,156,156,156,159,160,157,156,160,162,153,119,87,67,65,77,110,106,90,76,69,90,100,96,95,95,94,94,93,92,90,90,162,162,164,162,168,167,152,109,86,89,86,81,73,83,91,85,83,72,68,69,70,71,70,67,66,67,65,65,160,159,156,156,166,159,139,106,92,96,95,90,84,75,71,77,79,77,77,77,78,78,77,75,75,75,74,73,152,145,140,146,152,141,128,110,100,99,98,89,81,76,77,82,82,81,79,76,76,75,75,76,75,74,73,72,139,134,129,138,138,124,110,101,92,87,93,91,89,86,82,83,81,82,78,78,77,76,76,76,76,75,75,74,125,123,115,112,108,97,86,81,78,70,73,79,84,84,81,79,80,79,78,77,76,75,75,76,75,74,74,75,104,96,87,82,81,82,83,82,82,82,81,79,81,81,81,80,80,80,78,79,76,76,76,76,75,74,75,70,75,79,80,81,82,84,84,84,83,83,83,83,83,81,81,81,79,79,79,79,76,76,76,75,75,75,68,88,79,83,83,83,83,83,82,82,82,82,82,80,81,81,80,78,78,78,78,77,76,75,76,76,78,68,77,159,83,83,83,84,84,83,83,82,82,82,82,81,81,81,80,79,79,78,78,78,77,77,77,79,77,66,146,163,83,83,84,83,82,82,82,81,81,81,80,82,81,81,80,79,79,77,77,78,77,77,76,83,69,122,172,138
13,240,241,242,241,240,241,242,244,243,241,242,243,244,245,245,244,244,245,246,245,246,244,243,243,243,242,241,241,242,244,244,243,243,243,245,244,244,244,245,244,244,246,247,247,248,247,246,246,248,246,244,245,246,246,243,241,243,245,244,245,245,245,246,246,246,246,247,246,246,247,247,246,245,244,250,251,249,247,245,247,246,246,244,244,242,244,245,246,245,248,247,248,246,245,247,248,249,247,249,255,255,225,197,231,242,248,251,248,248,246,246,247,243,244,246,246,246,248,248,247,247,246,247,250,246,255,255,255,255,241,186,144,166,171,233,253,248,247,247,247,244,244,245,247,247,247,247,248,250,250,248,248,248,255,248,255,255,253,194,141,124,137,162,255,246,248,248,248,245,246,246,247,248,248,248,249,251,246,252,237,212,239,211,202,248,255,222,156,134,194,156,253,250,249,250,249,245,246,247,248,249,249,249,251,250,253,255,237,188,226,240,233,246,240,243,164,128,166,148,250,252,251,251,250,245,246,247,248,248,249,250,250,244,255,255,248,217,179,202,243,250,224,174,131,90,163,238,252,253,252,252,252,246,247,247,248,249,252,246,255,255,187,204,255,242,200,115,159,234,233,195,173,140,138,255,254,253,252,252,251,245,247,249,248,248,244,253,255,247,167,128,225,255,218,139,62,151,191,206,234,215,139,184,255,250,253,252,251,245,246,247,248,246,255,255,255,224,179,133,176,255,218,174,93,82,94,219,255,241,198,134,237,255,252,252,252,246,246,246,246,253,255,251,225,227,198,156,128,255,229,203,133,90,89,171,255,255,223,156,157,255,251,250,251,248,247,248,246,255,255,210,204,238,209,175,95,211,255,223,177,87,101,157,255,255,224,186,132,220,255,251,251,248,248,248,249,255,255,233,195,238,215,187,143,94,250,250,208,140,128,255,251,247,219,195,142,193,255,252,254,248,247,246,250,255,252,235,197,195,224,221,191,84,120,255,240,227,169,254,249,220,186,172,130,205,255,252,253,246,246,246,246,255,255,252,224,186,189,230,203,182,81,186,252,223,228,247,231,207,173,139,122,236,255,253,252,252,253,254,251,255,255,255,237,221,200,203,199,224,151,222,255,253,255,240,219,196,166,131,141,255,254,255,253,198,202,208,205,248,255,255,250,230,221,223,204,171,183,255,255,255,252,236,215,188,156,118,184,255,255,255,255,130,129,133,117,199,255,255,255,242,229,232,232,197,184,249,255,255,252,219,204,179,145,121,166,200,200,204,204,137,136,138,128,158,255,255,255,255,244,234,230,217,174,210,255,255,244,215,183,164,135,130,129,121,118,120,129,136,137,137,139,128,239,255,255,255,255,245,231,216,194,177,250,248,228,207,170,149,133,124,129,138,162,193,225,136,137,139,142,128,173,255,255,255,255,248,233,212,199,180,210,233,211,183,165,144,121,138,212,237,254,255,255,136,138,138,139,143,127,220,255,255,255,237,220,206,192,179,182,207,199,176,157,141,107,209,255,254,245,236,246,137,138,138,137,142,130,156,255,253,235,220,210,201,189,166,165,192,202,185,146,125,124,255,255,243,230,207,201,137,138,137,137,135,140,130,238,255,220,204,206,198,184,160,149,198,215,173,135,108,187,255,253,237,191,179,185,137,137,138,136,135,144,126,210,255,231,224,217,199,178,162,146,207,207,148,125,121,255,255,255,246,182,149,181,137,138,139,135,136,142,125,199,255,241,240,228,205,184,171,145,209,187,139,110,162,255,255,255,255,199,138,159
5,55,63,71,79,87,95,101,105,107,113,118,121,124,129,132,131,147,119,123,147,145,147,148,148,148,150,150,149,56,64,72,81,88,96,103,106,109,115,117,125,129,130,134,133,171,96,89,154,146,149,149,149,151,152,153,151,57,65,74,83,91,99,105,109,113,114,128,119,128,135,132,154,160,55,108,155,147,150,152,153,154,154,154,154,59,67,76,85,94,99,106,112,114,117,169,86,102,145,130,181,114,42,139,154,150,153,155,155,155,155,155,155,62,69,76,86,95,98,110,114,111,136,159,58,111,143,150,189,78,69,159,152,154,158,157,157,157,157,158,158,62,71,78,85,105,124,90,119,106,166,117,46,134,136,186,149,58,111,164,155,158,158,159,159,159,161,161,160,64,71,79,81,124,141,56,117,115,184,97,67,140,159,177,81,63,150,158,157,156,159,158,164,162,162,163,162,65,71,81,81,130,163,55,114,131,155,71,95,144,184,149,57,90,166,152,161,187,169,112,155,167,164,165,164,66,72,82,86,123,206,78,92,148,131,63,117,153,192,137,70,128,164,170,186,175,190,115,140,173,166,167,166,66,72,83,94,105,214,161,109,136,142,94,114,172,174,110,76,148,171,203,150,132,190,82,151,172,168,169,168,68,74,84,97,93,194,227,189,139,124,100,103,160,137,92,105,173,191,145,75,129,181,60,144,179,171,171,171,70,74,86,97,101,128,212,223,175,112,82,76,96,92,99,147,184,175,116,54,155,174,62,104,186,171,173,173,68,75,88,98,110,107,146,230,180,124,76,61,64,67,96,154,140,123,80,91,181,153,78,71,179,175,176,177,69,76,90,99,109,119,111,218,194,134,99,67,62,61,81,118,117,79,60,157,191,172,94,73,177,177,178,177,70,78,90,100,111,118,112,215,209,148,123,82,58,59,69,93,95,49,122,181,189,180,105,85,183,179,180,180,70,80,91,103,113,119,116,222,219,167,141,95,58,58,65,93,114,121,157,156,188,177,99,90,187,180,181,182,71,79,93,105,112,122,116,217,224,181,146,92,58,53,73,120,154,166,160,126,135,172,93,102,192,181,182,184,71,81,94,105,112,123,115,210,233,184,147,102,64,49,94,152,162,158,149,117,93,112,73,112,194,182,185,186,72,82,96,108,113,125,113,190,231,183,158,119,76,77,110,146,152,143,130,100,76,75,55,132,193,183,187,187,72,84,98,108,115,124,114,171,228,189,163,126,82,81,126,135,137,115,109,86,71,59,109,182,187,188,190,190,72,85,98,107,117,126,115,174,236,193,147,112,83,65,105,112,112,90,86,74,61,121,188,187,189,190,189,190,73,85,98,108,117,129,114,180,230,169,122,90,74,69,85,97,91,75,69,64,140,192,185,187,191,191,191,190,72,86,100,110,118,130,113,189,220,159,118,82,82,85,77,86,74,64,57,140,194,184,188,189,191,191,192,190,73,88,101,111,121,122,143,198,205,172,130,84,93,97,72,71,62,51,135,192,184,189,191,192,192,192,193,192,74,87,101,113,115,147,221,218,183,147,120,94,94,86,63,59,37,112,192,183,188,191,192,193,193,193,193,194,75,86,101,108,129,207,222,223,206,173,106,82,80,75,60,51,48,174,188,185,190,193,194,193,193,195,195,195,74,87,100,107,195,213,215,202,189,185,163,118,76,59,49,35,70,192,182,186,190,192,194,194,196,195,195,195,74,89,91,155,217,204,204,184,180,162,162,152,103,68,60,47,47,153,185,184,187,191,191,193,194,194,194,195
0,165,167,168,168,169,170,171,170,171,170,169,169,169,170,170,171,171,169,170,170,169,170,171,170,169,170,170,169,168,169,170,169,169,171,172,171,172,170,170,171,171,171,170,169,171,175,171,173,173,172,171,171,171,172,171,171,170,170,171,172,171,171,172,172,172,172,171,171,173,172,183,169,130,141,178,166,168,177,176,175,173,170,172,172,171,171,171,173,176,173,172,174,173,172,176,176,144,134,187,164,129,101,103,123,111,151,171,127,160,177,172,172,171,172,172,173,175,174,174,175,175,176,201,186,146,109,149,171,141,128,55,104,113,91,145,98,137,184,172,174,171,173,173,173,174,175,174,181,160,145,202,184,156,124,142,192,146,135,71,126,127,93,115,105,128,187,174,176,172,173,174,175,175,175,178,207,161,112,155,201,162,133,128,205,161,140,77,141,131,86,85,107,103,190,174,177,174,175,175,176,177,172,193,202,168,140,131,206,172,133,114,204,166,137,72,144,129,74,71,121,63,170,181,177,175,176,176,176,174,191,188,186,181,154,111,185,180,128,96,196,168,124,56,109,114,65,60,129,55,111,191,176,176,176,177,176,177,195,157,177,192,160,102,156,187,126,75,161,157,108,49,80,99,56,62,132,66,85,189,178,177,177,179,174,188,188,145,155,187,158,101,124,177,120,64,122,142,99,56,65,88,44,77,143,81,89,191,180,177,178,178,176,188,182,151,141,165,139,92,94,154,111,59,84,134,95,53,65,90,53,125,158,93,92,192,182,174,176,175,180,190,170,140,110,147,134,87,72,143,109,50,60,133,94,44,85,99,73,159,153,94,100,192,180,173,175,176,176,202,187,151,101,115,136,77,61,136,113,49,54,139,92,102,160,130,91,149,159,94,109,192,180,176,177,177,177,200,189,155,115,75,111,103,58,137,132,60,63,136,139,159,157,139,108,103,145,86,115,193,180,177,178,177,180,204,193,167,136,96,83,110,78,131,143,117,153,167,165,154,142,122,107,87,90,68,108,195,180,178,178,178,180,204,200,175,147,131,119,112,131,149,160,178,180,178,168,152,136,112,94,86,69,52,103,196,180,177,178,177,181,201,200,182,162,149,139,128,128,151,167,178,177,178,170,148,131,112,88,75,70,46,127,195,182,176,176,177,180,195,196,189,176,166,147,136,132,143,163,175,176,172,164,143,125,107,84,72,55,87,181,188,186,181,183,183,176,191,196,197,188,171,151,137,135,145,168,177,178,165,157,139,122,101,81,58,73,174,186,184,185,141,145,152,143,175,197,201,191,171,155,140,134,144,172,180,172,159,150,135,113,91,72,56,159,196,188,192,191,70,72,78,63,120,201,192,185,172,158,146,132,143,168,168,156,143,134,121,101,82,64,79,142,143,147,143,142,78,78,79,68,88,196,180,172,172,164,152,131,139,165,161,144,124,111,99,89,71,69,74,71,67,64,87,124,76,78,80,75,80,188,170,166,175,166,149,131,134,163,157,135,103,84,78,70,70,79,74,73,102,151,192,191,75,77,76,78,79,181,168,167,175,161,148,138,131,156,151,122,82,68,63,70,78,82,111,158,198,199,185,168,76,76,75,79,74,182,183,170,172,156,143,140,127,137,138,105,68,62,63,69,93,169,207,216,202,195,188,166,76,76,76,78,70,179,191,179,171,154,144,147,124,127,131,96,63,58,61,120,195,214,212,206,195,201,206,190,78,76,77,78,71,169,189,186,171,154,144,147,121,119,127,92,61,43,123,204,203,204,208,194,188,197,208,210
18,172,173,174,175,177,178,179,178,178,179,179,180,179,178,178,177,176,175,177,176,174,173,173,172,172,171,170,168,173,176,177,177,177,178,180,181,180,180,180,180,180,179,179,179,178,177,177,177,177,175,174,174,173,172,171,170,174,178,179,179,179,179,181,182,181,182,182,181,181,181,180,180,180,179,178,179,177,177,175,175,174,173,172,171,176,178,180,181,181,181,182,183,183,184,184,182,183,182,183,181,182,180,182,165,168,177,178,177,175,175,174,173,178,180,181,181,182,183,184,185,185,186,186,185,185,185,184,183,182,184,202,142,132,180,179,178,177,176,175,174,180,181,182,183,184,185,186,187,186,187,187,186,185,182,181,183,177,188,209,145,97,177,180,180,178,179,177,176,181,183,184,185,186,188,188,188,188,188,188,189,193,162,133,152,141,157,210,169,97,134,182,181,180,181,179,178,183,185,185,187,188,189,189,191,190,190,189,190,194,181,146,117,126,161,209,179,117,88,159,182,181,181,180,180,184,185,186,188,189,191,192,192,192,192,194,165,129,149,163,127,97,123,180,179,140,115,97,164,184,183,182,181,185,187,188,189,191,192,193,193,197,208,198,168,133,94,152,133,95,78,104,158,151,123,97,108,186,183,183,181,186,188,189,191,192,193,194,193,219,213,213,176,141,98,107,122,86,59,66,155,169,131,105,97,187,185,185,184,187,189,191,193,193,195,194,207,210,198,213,177,146,104,71,89,76,55,57,159,176,148,106,98,189,186,186,185,187,190,193,194,195,196,200,226,209,179,193,166,140,99,66,76,64,57,54,141,174,157,108,91,190,188,188,186,190,192,194,195,195,198,216,207,186,176,180,131,104,84,72,93,57,59,66,149,176,157,111,90,191,188,189,188,191,193,195,196,196,207,229,206,172,143,152,101,89,69,92,100,85,125,130,147,163,143,104,85,191,190,190,189,193,194,196,197,198,210,232,214,188,140,119,125,91,41,106,145,170,172,164,131,133,124,103,78,186,191,191,190,194,196,197,199,198,221,232,220,193,151,121,118,79,67,183,198,192,170,152,137,105,114,102,75,184,193,193,192,194,196,198,200,201,228,231,211,170,147,130,115,94,165,208,203,189,164,137,133,102,100,92,86,191,194,193,193,196,197,199,200,206,229,229,205,171,159,123,104,149,203,207,196,178,157,136,123,108,90,74,137,195,196,194,193,195,197,199,201,210,231,226,199,172,164,126,137,181,212,201,186,173,156,129,117,102,81,77,186,196,196,195,194,196,197,199,202,212,228,222,201,183,175,128,163,179,203,192,177,167,146,117,107,91,70,122,196,197,196,195,195,197,199,201,201,212,225,219,203,193,160,132,140,177,183,179,168,155,133,110,96,81,70,177,199,198,197,196,195,197,200,201,201,212,223,217,208,187,147,116,138,164,170,166,160,142,121,99,84,66,125,198,199,199,198,197,197,199,200,202,202,216,215,212,203,168,127,115,145,157,165,159,146,129,105,83,69,85,188,201,201,202,200,198,198,199,199,202,203,220,213,207,193,167,147,140,146,159,161,152,131,116,94,73,69,170,201,202,202,202,201,199,198,200,201,202,206,227,222,219,205,190,171,152,136,154,156,139,115,100,81,65,148,202,203,203,203,201,201,200,199,172,161,193,213,228,222,219,205,184,164,149,128,144,145,123,104,89,69,135,201,205,204,203,203,202,201,201,200,110,81,89,178,218,220,214,200,176,149,142,126,139,132,111,94,73,114,201,207,206,205,205,204,203,203,202,201
19,137,139,140,142,144,145,145,145,145,145,145,146,145,145,145,144,144,142,142,141,141,140,139,138,137,136,136,136,139,138,141,142,144,145,147,146,146,146,146,147,145,146,146,146,145,144,143,143,142,139,139,140,138,137,138,136,139,140,141,142,144,147,149,147,148,147,147,146,146,146,148,146,145,144,144,145,143,141,142,142,140,139,139,138,139,141,143,145,145,146,148,147,148,149,149,148,146,148,148,147,146,146,145,145,145,143,143,141,141,140,139,138,140,143,143,145,147,147,148,150,151,148,147,150,152,147,148,148,147,147,145,145,146,146,145,143,141,140,139,139,141,146,145,147,150,151,151,150,152,156,134,109,134,155,149,151,149,148,147,146,147,146,146,145,142,142,141,140,144,146,148,149,150,152,152,152,152,187,163,124,74,134,157,150,151,149,148,148,148,147,147,145,143,143,142,141,144,145,147,149,150,151,153,156,147,176,192,152,91,59,153,152,153,150,149,150,149,147,148,146,144,144,143,142,147,148,148,152,153,154,155,155,153,160,190,158,106,34,107,164,150,153,150,149,149,147,147,146,145,144,144,143,148,149,150,154,154,155,157,158,151,159,181,147,97,37,72,167,151,153,151,149,150,148,147,146,145,146,145,144,147,150,153,155,154,157,160,157,168,201,172,138,120,70,82,154,152,158,157,153,151,149,150,149,147,146,145,145,149,151,155,156,159,159,158,157,207,192,155,132,144,158,151,137,127,130,138,149,156,153,153,148,149,148,145,146,151,154,155,158,159,161,153,189,202,163,109,82,108,156,176,175,161,146,117,120,124,141,149,153,149,147,146,146,153,158,156,157,159,158,171,217,195,171,135,79,57,99,144,163,171,171,156,142,131,137,123,125,140,152,151,146,156,158,157,160,163,157,200,206,179,159,138,132,106,95,103,113,121,137,152,164,171,175,155,116,108,104,138,152,155,157,157,161,160,171,206,189,147,119,118,109,141,146,125,111,93,74,86,107,121,149,163,153,133,93,88,127,154,157,161,163,161,198,224,198,147,115,106,97,105,148,156,146,123,83,57,110,132,123,123,124,123,123,117,128,157,160,160,159,175,217,220,187,151,132,134,136,129,110,120,140,137,108,88,80,156,163,151,138,124,118,114,117,158,159,162,160,195,216,203,170,141,140,155,153,152,128,54,99,102,108,111,77,134,167,160,161,160,153,144,139,158,161,159,180,210,212,197,153,119,94,133,170,171,166,78,100,73,73,76,96,160,162,161,160,159,159,158,157,159,158,165,206,206,221,197,149,116,97,82,123,138,154,146,118,90,83,72,154,165,161,161,161,158,157,156,155,159,156,182,209,215,224,184,141,127,125,125,112,82,112,163,134,109,78,138,172,161,162,162,162,157,156,155,152,161,162,202,210,219,204,181,149,138,133,131,120,108,100,99,99,90,119,168,164,164,163,162,159,159,159,156,155,156,177,212,210,208,197,177,159,142,143,139,121,99,91,95,66,131,171,165,164,165,164,163,162,160,158,157,156,155,192,211,207,207,191,164,146,122,123,132,121,109,102,88,118,179,167,166,164,166,166,164,164,161,159,160,158,161,203,206,201,197,182,164,125,88,71,79,96,94,99,121,164,172,170,169,166,165,165,165,165,163,160,160,159,178,203,192,183,180,158,125,91,70,42,113,163,147,158,174,171,171,170,170,169,167,164,163,163,162,160,158,157,199,198,173,166,152,121,91,76,69,53,162,182,177,175,172,171,172,172,170,168,166,164,164,164,160,159,159,157
2,156,157,158,160,162,164,164,164,164,164,164,164,163,163,162,162,161,161,160,159,158,158,157,156,155,154,153,151,157,159,160,162,164,164,165,165,166,165,164,165,165,164,167,178,187,180,163,153,153,155,157,157,157,156,155,153,158,159,161,164,165,165,166,166,167,166,167,165,170,182,203,205,191,182,177,142,120,115,140,156,157,157,156,155,160,161,162,164,166,167,167,166,168,168,167,177,210,204,202,200,177,149,136,112,88,88,87,141,159,159,157,157,161,163,164,165,166,168,169,169,169,169,167,205,209,201,199,166,127,103,97,87,85,84,81,128,159,158,158,158,162,163,165,167,168,168,170,171,170,169,171,222,212,195,155,116,85,75,79,82,88,91,109,151,161,160,160,159,163,164,166,168,170,171,171,172,171,170,186,226,205,148,103,84,71,81,90,119,149,152,159,163,163,162,160,160,164,166,167,170,171,171,172,174,174,171,199,221,183,115,77,78,77,86,135,163,166,166,165,165,163,163,162,161,166,167,169,170,171,172,173,174,175,173,218,207,147,90,66,69,77,90,165,167,166,166,166,165,164,164,163,162,167,169,170,171,173,174,174,175,174,192,221,170,107,69,64,60,76,95,167,169,168,168,167,166,165,165,163,162,166,169,170,172,174,175,175,176,180,222,201,140,93,76,76,70,70,110,171,170,170,169,167,167,166,165,164,164,167,169,171,173,175,176,177,176,212,228,183,130,99,88,86,81,77,128,172,171,171,170,168,167,167,166,165,165,169,171,173,174,177,178,179,182,237,221,168,121,96,96,88,86,84,135,173,172,171,171,169,168,169,169,165,164,171,172,174,176,178,178,179,198,241,206,150,110,97,95,88,89,89,139,175,173,173,172,171,170,169,169,167,165,172,173,175,178,179,181,178,219,237,193,138,103,93,90,86,89,89,145,176,174,174,173,173,173,170,162,152,159,173,174,176,179,180,182,183,238,229,181,132,100,90,89,89,89,85,142,177,176,175,174,174,169,156,150,125,127,174,175,177,180,182,180,206,245,216,171,125,97,86,86,85,84,82,116,179,178,177,176,171,154,157,139,110,156,176,177,179,181,184,182,233,239,205,163,121,93,83,81,82,86,83,89,172,179,178,175,149,150,149,111,140,169,177,179,180,183,183,198,246,229,195,156,116,90,81,78,84,90,89,82,135,179,174,146,137,147,125,107,167,171,178,180,181,184,183,219,242,219,185,149,113,89,79,80,85,88,91,87,89,122,134,135,143,133,111,124,172,172,179,180,182,185,185,234,235,210,182,146,111,90,80,86,87,85,88,89,87,96,126,148,140,119,117,158,174,173,180,181,183,185,195,237,227,206,181,143,113,94,84,93,93,93,96,97,96,108,138,146,132,122,161,175,175,174,180,182,184,185,216,236,224,211,185,148,122,100,89,102,106,110,108,107,103,113,137,129,126,165,179,179,175,174,181,183,185,187,235,238,226,211,186,154,128,105,95,110,117,120,111,107,104,110,120,130,170,180,180,180,176,175,182,184,186,198,239,236,223,206,174,143,125,109,100,112,120,121,113,106,103,109,128,173,183,182,181,179,178,176,182,185,184,215,234,229,215,188,152,126,115,109,107,116,118,115,110,105,127,164,179,184,183,181,181,180,178,175,183,185,201,234,225,213,191,158,128,119,113,107,108,111,110,109,106,134,179,185,185,185,183,181,181,180,178,175,184,191,236,226,209,195,173,133,122,120,115,111,109,105,105,112,150,183,188,187,186,185,183,182,182,180,178,177
11,156,155,155,155,154,153,154,154,150,154,150,148,148,147,146,145,143,141,140,139,136,134,133,133,130,129,126,128,159,158,158,159,158,158,158,157,160,128,150,153,150,150,149,148,146,145,143,142,140,138,136,134,133,131,135,116,163,163,162,162,162,163,163,161,172,113,108,165,155,155,153,151,149,148,147,144,143,141,139,135,136,135,78,19,167,167,168,166,167,168,166,166,162,144,77,148,164,158,157,155,153,151,149,147,145,145,142,140,135,60,0,0,171,171,171,171,172,171,170,170,166,158,89,110,172,161,161,159,157,155,153,151,150,148,145,150,85,17,11,12,176,175,175,174,175,174,174,173,171,158,101,86,175,164,165,162,162,159,158,155,154,150,151,141,38,32,25,10,177,179,178,178,178,177,177,177,175,163,136,74,161,174,168,165,165,163,161,160,157,154,158,130,26,32,24,19,180,181,181,180,180,179,181,180,178,180,152,70,141,180,171,169,168,165,164,163,161,156,161,125,28,23,7,12,185,185,185,183,183,183,184,183,179,183,161,73,122,187,172,173,172,169,166,165,164,159,167,109,16,24,3,18,187,187,186,186,186,186,184,186,183,165,158,92,97,187,175,174,173,172,171,169,167,161,173,96,8,20,2,9,188,188,187,188,188,189,188,187,189,166,158,137,76,163,187,182,175,175,173,171,170,165,174,83,8,16,0,6,190,191,191,191,191,192,191,190,192,181,166,173,96,138,117,150,185,176,176,174,173,170,168,50,9,0,0,18,193,193,192,192,193,193,191,191,191,187,164,173,184,174,75,76,191,178,179,178,174,173,171,67,55,66,52,26,194,194,194,195,194,194,194,192,194,196,171,179,153,119,90,55,175,185,180,179,176,173,164,146,141,133,115,62,196,195,195,196,196,196,197,196,185,152,176,192,132,48,75,58,143,193,181,180,178,167,164,160,138,94,66,48,197,198,199,198,198,200,196,186,179,100,84,158,127,55,59,62,104,196,179,184,168,172,173,149,93,80,61,26,200,199,199,200,201,199,187,190,171,113,70,88,131,78,51,63,65,188,193,178,151,163,160,92,68,132,125,19,200,201,203,202,199,187,195,172,127,128,103,64,107,101,45,63,58,126,167,136,145,153,104,89,139,147,136,74,203,202,203,204,191,187,170,123,70,106,108,69,74,105,49,56,71,48,76,120,141,115,85,181,129,100,117,115,204,205,205,205,189,185,167,131,63,69,123,41,36,109,65,46,106,81,78,117,119,72,156,187,165,34,96,117,207,208,206,207,184,185,170,126,75,61,93,13,21,116,64,38,127,96,75,104,69,103,193,176,188,129,115,128,208,207,207,209,193,178,168,149,132,80,39,26,25,113,93,57,73,90,90,78,58,176,188,183,179,183,149,114,209,208,208,210,206,180,175,164,142,108,65,50,70,120,116,74,89,137,97,47,138,199,184,184,180,183,154,108,210,210,210,211,212,191,173,163,156,126,92,62,80,146,127,85,117,106,70,56,186,192,187,185,182,184,158,86,210,210,211,211,213,199,178,165,151,127,96,78,70,125,153,133,113,90,46,98,205,189,188,187,185,185,162,75,210,209,210,210,210,207,172,164,140,127,104,86,76,101,129,120,106,72,39,169,199,189,187,186,183,187,153,116,210,210,211,211,209,214,184,154,146,130,114,99,82,80,102,94,83,37,119,202,188,189,186,186,189,177,131,129,211,212,212,213,210,212,206,155,145,133,123,105,79,65,78,70,43,90,201,191,192,189,187,184,138,123,122,129
4,147,149,149,150,152,154,156,157,157,157,156,156,157,158,156,158,155,156,157,157,157,157,159,157,157,155,154,155,150,150,152,154,156,156,157,157,157,158,157,158,157,157,158,161,164,160,158,159,162,160,158,159,159,157,157,157,152,153,156,157,158,158,158,158,159,160,160,162,164,164,156,134,122,151,152,121,124,164,164,161,163,161,159,158,155,157,158,159,159,160,161,161,161,161,161,149,143,151,175,164,128,95,103,137,105,78,148,168,164,164,162,162,157,158,159,160,162,163,164,164,164,166,165,163,140,97,102,174,157,98,31,69,117,44,70,180,162,164,165,165,159,160,162,163,163,164,165,161,162,150,166,176,157,107,44,91,162,93,40,5,83,53,48,176,164,166,166,165,161,163,163,164,165,165,164,166,162,103,75,115,164,115,46,2,141,112,61,0,68,84,47,171,170,168,167,168,163,165,166,166,166,164,168,165,166,109,35,18,142,144,67,0,104,167,100,8,61,120,57,168,172,169,169,169,163,166,168,168,169,166,170,136,131,119,74,0,112,174,67,34,118,163,108,34,29,103,85,178,170,171,170,171,165,166,167,169,172,169,172,144,71,120,121,21,56,152,74,25,63,107,100,31,15,46,29,161,176,171,172,172,165,167,169,170,171,171,175,153,110,106,109,44,25,55,52,42,37,57,67,28,37,69,37,84,187,172,175,174,167,169,172,171,172,171,178,170,146,108,67,36,32,46,40,53,58,49,42,30,107,117,101,57,149,183,174,174,170,171,173,173,173,173,180,169,132,107,74,53,55,59,62,80,82,86,99,94,111,143,127,73,69,187,175,177,170,171,173,175,175,174,180,164,118,88,71,56,71,82,105,116,132,153,173,167,134,126,98,59,20,144,186,175,170,171,174,176,176,175,180,169,130,99,79,67,88,90,131,166,147,166,167,161,146,118,82,43,18,97,196,175,172,174,176,178,178,177,179,185,150,114,83,74,86,95,157,166,154,164,163,155,136,114,81,47,16,122,191,176,172,175,178,179,179,179,176,184,162,129,96,74,85,106,160,166,165,172,169,153,138,116,77,39,34,174,183,180,174,176,178,178,180,180,178,183,177,144,109,79,105,108,151,171,178,183,177,162,139,99,68,26,88,198,182,184,176,177,178,179,180,181,179,181,184,157,119,93,120,119,141,174,185,187,191,175,129,86,59,24,146,193,183,184,176,178,179,180,181,183,180,176,181,175,124,103,123,130,149,175,189,193,197,165,113,84,42,47,189,186,186,184,178,179,180,181,184,184,184,171,169,175,137,111,122,128,154,179,184,197,177,135,98,80,26,101,202,185,187,186,180,180,180,182,184,184,188,166,163,175,154,124,117,125,151,178,175,174,147,115,89,64,22,162,195,185,187,186,180,181,181,182,182,182,188,175,157,174,164,142,126,129,146,166,168,145,124,99,70,32,84,201,188,187,187,186,180,180,181,181,182,184,186,187,158,155,158,149,137,133,133,138,143,121,99,69,38,41,180,193,189,190,190,188,176,178,179,180,180,182,183,189,166,150,157,146,138,132,117,117,127,109,78,50,12,117,202,186,189,190,190,188,178,178,178,180,181,183,184,189,168,157,152,138,130,125,106,101,112,95,51,36,24,172,193,189,189,188,189,188,180,180,181,183,183,184,184,188,173,157,140,110,118,117,108,106,99,77,46,26,54,195,189,191,190,188,189,188,180,181,183,184,184,184,185,189,177,158,150,124,139,135,124,111,95,75,56,17,86,200,188,191,191,189,188,189
7,141,153,161,167,172,174,176,177,180,183,184,184,185,187,187,188,187,187,186,186,185,182,181,180,178,177,176,173,142,154,162,168,173,176,176,178,182,185,186,187,188,188,189,189,188,188,188,187,186,185,183,181,181,180,178,175,143,156,163,169,174,176,178,180,183,186,186,188,189,190,191,191,190,190,189,189,187,186,184,183,182,181,180,178,145,156,165,170,175,177,180,182,185,186,187,190,192,192,193,192,192,191,192,191,189,188,187,187,185,183,182,180,146,156,165,171,175,179,181,184,187,187,189,191,192,193,193,194,194,193,193,193,191,189,189,188,186,185,184,181,147,157,166,172,177,180,181,184,188,189,191,192,193,194,194,194,194,194,193,193,192,191,190,189,188,186,184,182,148,158,166,173,179,181,182,185,188,189,191,193,194,196,197,200,201,202,199,198,197,197,193,192,192,188,186,184,148,158,167,173,179,182,184,189,193,195,196,195,193,192,188,181,172,170,169,171,158,146,161,164,175,190,186,186,149,159,168,173,179,184,182,170,163,157,155,155,148,135,128,135,108,112,120,119,116,115,161,156,140,194,188,187,150,160,168,173,179,182,165,133,119,128,129,134,133,126,118,109,104,104,109,101,110,106,117,109,143,190,192,189,152,160,169,173,178,171,154,122,102,108,111,113,117,119,121,121,123,107,107,118,111,107,100,94,111,131,161,192,151,161,168,169,165,154,147,130,115,110,118,128,133,135,135,131,125,97,98,120,108,99,100,90,104,121,116,189,156,167,164,162,154,153,150,137,131,132,136,143,134,131,128,123,102,88,88,90,83,80,79,76,82,94,138,194,174,168,164,162,161,158,144,116,97,106,118,120,107,100,96,90,86,101,116,133,143,153,158,163,167,174,192,193,175,170,170,167,157,139,134,97,82,97,94,76,98,145,157,176,186,198,206,211,210,209,207,206,203,200,195,194,172,171,168,154,136,134,122,94,82,73,62,54,71,108,110,159,216,206,203,202,201,201,200,199,197,196,195,193,174,172,157,140,130,123,125,124,101,71,68,73,69,60,51,54,191,209,205,205,204,203,202,201,200,197,196,194,171,157,136,129,126,125,135,140,110,73,72,75,75,73,68,68,194,210,205,205,206,205,203,203,202,200,198,195,149,134,124,123,119,114,119,114,84,67,60,59,67,67,63,57,183,212,204,206,206,205,203,203,201,201,198,195,133,127,122,121,116,102,99,90,75,58,50,62,71,72,60,65,183,213,205,207,206,205,203,202,201,200,197,195,128,121,115,109,99,87,84,92,88,68,71,81,78,61,78,190,212,207,208,207,206,205,203,202,202,200,199,196,116,105,101,97,95,94,101,110,96,75,66,64,73,94,182,214,206,207,207,207,206,204,202,201,201,200,199,196,111,107,106,100,97,97,100,96,73,68,117,154,181,205,208,203,206,205,205,204,203,202,201,200,199,199,196,195,105,105,103,96,87,83,78,78,104,169,205,208,206,203,203,206,206,205,205,204,203,203,201,201,200,198,196,193,74,76,89,88,89,98,129,169,197,201,196,198,201,203,204,206,206,206,205,204,203,202,201,201,199,197,196,193,29,34,160,161,171,184,193,193,192,195,197,201,201,202,203,203,203,203,203,203,203,201,201,199,196,194,193,191,7,49,173,172,181,183,183,188,193,196,198,202,204,205,205,206,205,205,206,205,206,205,203,202,200,199,198,195,0,82,191,173,176,178,179,179,180,181,178,179,180,181,180,176,174,174,173,169,165,163,161,157,154,149,143,113
15,21,55,62,76,85,93,101,110,121,125,129,133,137,140,143,145,148,150,152,154,156,158,159,159,162,164,165,167,23,57,63,77,86,94,102,111,122,125,130,135,138,141,144,146,150,151,153,155,158,159,159,161,163,165,167,168,26,59,67,79,87,95,101,113,123,125,131,135,139,141,145,148,150,151,154,157,158,159,160,164,164,167,168,169,31,61,68,81,89,93,101,114,124,126,130,135,139,142,146,149,151,151,154,158,158,159,163,164,165,167,168,169,38,62,69,80,87,114,111,112,123,129,132,136,138,143,147,149,151,152,155,157,159,162,164,165,167,168,168,170,43,63,72,80,95,159,125,108,102,116,133,139,140,143,147,150,151,153,156,157,159,162,163,165,167,168,169,172,49,63,72,83,93,132,132,121,109,97,104,123,139,148,148,150,152,155,157,158,160,164,165,167,167,167,168,171,53,62,73,85,91,100,115,115,113,107,110,108,108,120,145,154,152,154,157,159,160,163,165,167,167,167,170,172,54,63,75,83,92,100,106,114,103,108,116,122,116,105,99,126,151,158,158,158,159,163,166,168,168,169,172,174,57,65,76,85,93,101,108,120,120,119,118,118,118,115,104,100,105,133,158,162,162,164,166,167,169,170,173,174,60,67,78,86,93,101,108,119,126,129,132,119,105,108,119,120,108,98,107,136,161,168,165,167,168,171,173,175,60,68,79,87,94,101,111,122,125,129,135,137,127,116,101,101,108,103,100,107,106,137,169,168,170,172,173,175,60,68,79,88,95,101,113,123,125,131,147,114,101,120,116,86,78,93,114,119,120,96,120,172,169,173,174,175,61,69,80,89,95,101,112,123,123,140,146,118,90,87,113,113,105,115,116,125,132,114,80,130,180,172,175,176,62,69,82,89,96,103,114,124,124,135,123,109,109,113,121,102,111,118,107,120,128,118,108,86,163,176,174,177,64,71,82,90,97,103,114,122,125,131,135,113,124,145,134,107,82,84,70,111,135,117,130,96,108,181,173,175,63,73,82,89,96,103,114,122,126,126,159,129,114,142,130,112,107,97,79,93,101,112,120,109,74,152,180,174,64,74,82,88,97,103,113,124,123,140,152,111,81,87,118,128,125,122,109,93,90,89,97,105,86,100,182,175,64,74,82,89,97,103,115,124,121,151,129,87,77,36,43,94,136,138,130,122,115,91,77,89,92,70,154,183,65,75,84,90,97,105,117,120,128,157,108,69,65,48,34,24,73,141,144,138,129,99,77,84,88,70,104,187,66,76,84,91,99,105,119,116,139,144,82,69,101,87,69,42,13,100,148,139,129,106,93,87,86,82,71,158,66,75,83,90,100,107,117,127,145,106,63,120,131,105,102,87,30,54,151,139,131,121,113,100,90,87,74,100,67,77,84,92,100,106,116,133,109,75,93,152,141,112,112,108,88,65,139,146,141,133,127,113,97,88,85,76,69,78,85,92,98,106,119,123,109,111,135,135,133,123,103,104,104,94,119,145,144,140,131,118,107,97,90,86,69,78,84,92,98,108,118,122,129,136,137,141,134,115,90,87,82,108,113,127,141,137,130,120,111,101,96,90,69,77,84,92,98,109,119,122,126,132,136,140,147,148,139,127,110,109,122,100,119,127,125,120,113,105,94,92,69,77,83,90,96,108,119,122,126,133,136,140,144,148,154,155,155,156,142,122,114,128,123,120,116,109,97,94,69,77,82,88,95,106,117,119,125,132,136,140,145,148,150,152,156,167,168,157,144,142,126,113,113,115,109,101
4,153,156,158,159,163,165,166,171,173,175,179,178,179,182,182,182,184,185,183,184,185,186,186,186,183,183,184,184,157,159,162,164,166,168,170,173,174,176,181,181,183,182,182,193,179,178,188,186,186,187,188,187,187,186,186,186,160,163,165,168,170,171,173,176,177,178,179,188,175,196,237,225,157,106,177,191,190,192,189,190,189,189,188,188,163,166,168,171,173,175,176,181,186,188,216,215,152,124,184,205,144,89,95,131,129,177,196,191,192,192,190,189,166,168,172,174,177,178,185,181,153,217,239,219,162,98,72,177,139,86,65,116,94,102,202,192,195,194,193,192,169,171,174,178,179,180,232,215,150,157,160,220,167,116,54,122,165,117,66,135,134,91,195,196,196,195,194,195,172,174,177,182,176,213,221,212,208,177,111,169,195,139,31,125,200,149,107,125,148,117,183,203,198,199,197,198,175,179,181,181,187,234,201,154,159,134,75,97,200,130,41,169,195,141,99,91,109,105,136,211,199,201,200,200,177,181,185,185,189,240,225,182,161,153,142,87,137,104,70,129,155,123,105,106,101,96,110,182,210,201,201,201,180,183,186,190,187,225,223,204,177,152,142,109,99,121,113,125,152,132,132,112,81,121,124,122,213,204,205,202,181,186,188,193,190,219,222,195,165,134,114,102,109,131,134,152,164,153,144,115,118,162,156,107,166,216,205,206,184,189,191,196,192,227,227,196,170,133,111,102,113,124,143,161,179,184,203,220,205,187,167,143,110,204,210,208,186,190,193,198,194,228,237,205,175,139,112,108,115,129,154,193,184,214,226,215,203,182,150,122,83,159,222,208,188,194,196,199,196,223,241,209,187,156,119,108,111,131,174,193,185,213,209,201,186,164,138,112,87,111,220,213,189,196,197,202,201,224,244,216,197,166,133,114,116,133,182,197,206,216,217,201,177,158,136,109,92,97,213,217,192,198,200,205,203,226,247,223,205,175,145,128,128,130,174,204,218,219,214,203,175,151,124,104,83,118,227,217,194,199,202,205,204,222,246,230,214,182,153,148,142,134,170,208,219,218,215,202,168,138,112,101,77,176,231,219,196,200,204,208,208,218,241,236,225,193,167,160,154,143,178,203,217,220,216,195,161,128,109,92,92,221,224,223,198,202,206,208,209,214,235,239,232,205,180,170,161,148,185,203,207,220,207,180,149,124,109,77,138,237,222,225,201,206,208,210,215,211,227,239,232,210,191,178,165,155,178,209,207,207,189,162,138,118,106,77,196,234,225,227,205,209,209,212,217,216,216,233,225,211,192,181,170,154,152,198,203,187,169,144,127,116,94,105,235,227,229,229,206,209,212,215,218,221,208,228,229,215,191,182,174,154,136,183,201,184,159,133,113,117,77,172,240,226,230,230,209,212,215,218,220,226,209,229,237,218,193,181,177,159,138,172,191,174,149,121,109,82,125,237,230,232,231,230,212,214,216,220,222,227,212,232,236,209,184,177,177,154,135,164,177,160,126,112,82,118,230,234,232,232,230,233,213,216,220,223,224,227,219,236,231,199,179,182,179,161,138,153,158,144,112,92,97,225,238,231,234,241,245,232,213,218,221,222,225,230,212,232,238,203,192,196,187,174,144,139,139,133,108,74,181,244,230,241,242,210,152,104,217,220,223,224,226,233,216,232,245,209,204,215,189,178,143,126,126,130,93,92,227,233,245,204,119,70,54,52,219,221,223,226,228,237,177,228,250,227,226,224,191,177,142,122,127,132,80,126,243,240,182,81,63,44,46,41
0,176,177,179,180,181,183,182,181,181,181,181,180,181,180,179,179,178,178,177,177,176,175,175,173,173,172,171,170,177,178,180,182,183,184,184,184,182,183,182,182,183,181,181,180,179,178,178,178,178,176,176,174,174,172,172,172,178,179,180,183,183,184,185,184,184,183,183,183,184,182,181,180,178,181,180,178,178,177,177,175,174,174,173,174,180,180,182,183,184,186,186,186,185,184,184,184,182,184,182,195,179,158,177,182,179,180,178,177,175,175,173,174,180,182,183,184,184,186,186,187,187,187,185,183,193,180,182,219,186,151,129,166,155,164,182,174,177,175,175,174,182,184,184,185,185,186,186,189,187,186,183,196,213,189,185,221,189,153,125,177,154,120,149,128,159,181,176,176,183,185,186,186,187,188,188,187,189,199,171,206,213,192,183,225,199,142,168,200,149,100,120,106,155,182,176,177,183,186,188,187,189,190,192,184,207,228,186,202,222,190,168,220,204,143,143,179,136,97,126,109,169,181,177,177,186,187,189,190,190,190,190,187,214,240,212,180,229,196,149,190,186,139,110,156,119,118,152,108,165,182,177,179,187,188,189,189,190,192,188,197,205,229,224,163,206,185,130,153,171,135,107,154,114,153,170,111,151,186,177,179,188,190,190,190,190,192,189,205,198,198,196,147,177,168,117,112,175,130,103,162,122,182,177,114,154,187,179,180,188,190,191,191,192,193,188,213,213,187,182,131,154,170,114,94,180,139,106,112,163,200,165,109,165,186,180,180,189,190,191,191,193,193,195,220,187,156,177,146,128,185,123,101,167,185,185,132,174,193,146,108,177,184,182,181,190,192,191,192,193,192,203,228,198,160,146,153,127,171,133,148,198,206,190,170,145,162,136,117,186,183,184,181,190,193,193,194,195,193,205,231,202,175,152,146,178,183,196,208,205,194,173,159,146,128,124,121,188,183,184,182,192,194,196,196,197,192,214,237,208,192,179,165,184,211,218,218,206,188,169,152,139,119,107,127,190,183,184,184,192,195,196,197,198,193,222,236,214,203,188,174,196,220,227,228,207,184,168,148,129,114,103,164,191,186,186,185,193,196,196,197,199,195,223,232,214,198,184,177,200,223,230,227,208,184,161,139,122,105,126,193,188,186,185,185,192,194,196,196,199,194,221,233,216,199,183,175,196,217,220,213,201,178,152,129,114,104,170,192,187,186,186,185,192,193,196,197,199,194,209,230,212,199,188,179,199,210,204,192,176,160,143,123,107,159,194,188,187,187,186,184,192,194,197,197,199,195,206,219,200,202,196,180,196,204,192,172,154,147,130,115,162,195,189,189,189,188,186,184,196,196,198,198,200,197,207,219,203,204,193,180,191,202,184,155,139,133,114,163,197,191,192,190,189,188,186,185,195,196,197,199,200,198,211,232,218,198,184,183,181,191,167,136,129,112,155,198,193,192,193,192,190,189,188,185,195,196,198,196,206,193,190,246,225,197,185,186,171,179,150,126,112,139,199,193,194,193,192,191,191,190,191,186,193,196,199,194,214,249,177,199,217,191,187,178,166,169,134,112,102,179,198,192,192,193,190,191,190,186,175,166,197,198,201,196,219,253,237,145,228,215,203,193,174,165,136,112,106,188,199,199,196,188,194,196,178,159,164,158,154,155,153,147,234,249,253,151,153,229,213,200,178,161,144,134,122,134,145,138,141,182,200,189,172,126,182,169,112,113,102,139,253,245,253,170,111,223,203,188,169,154,139,128,125,117,100,116,181,208,190,170,180,116,157,183
14,142,146,150,154,157,160,161,164,167,167,168,170,171,172,173,173,173,172,172,172,171,171,171,170,170,169,168,168,142,146,151,155,159,161,163,165,167,167,169,171,172,173,174,174,173,173,173,173,173,172,172,171,171,170,169,169,143,147,152,156,160,161,163,166,168,169,171,172,173,174,174,176,176,174,174,174,174,173,172,172,172,171,170,170,144,149,154,158,160,162,165,168,170,171,173,174,174,176,176,178,177,176,176,175,175,174,174,173,173,173,172,171,145,150,155,159,161,164,166,169,171,172,174,176,175,179,184,178,180,179,176,176,177,176,175,175,175,174,173,172,146,150,155,159,163,165,167,170,172,173,175,177,176,204,217,205,203,193,172,161,168,177,175,176,176,175,174,173,146,152,157,161,164,165,168,172,173,174,176,176,187,220,219,216,203,188,176,165,154,152,171,177,175,175,175,174,147,154,158,162,165,168,170,172,175,175,178,177,212,225,200,176,156,136,138,148,140,102,114,165,177,176,176,175,148,154,159,163,166,169,171,173,176,178,178,186,229,216,162,108,94,93,95,109,110,101,95,109,170,179,177,176,150,155,159,163,167,170,173,175,177,179,177,207,230,198,130,79,81,88,78,86,103,122,108,83,127,177,179,178,151,156,160,165,168,171,173,175,178,179,181,229,215,158,91,65,82,89,81,86,92,96,103,112,105,145,176,179,153,158,162,166,170,172,174,175,178,179,202,233,179,114,70,65,65,72,87,89,98,101,110,124,124,134,142,178,154,159,163,167,170,173,175,178,179,186,234,224,163,112,86,81,75,69,89,102,140,130,124,120,155,138,131,179,155,160,165,168,172,174,176,180,179,207,249,214,156,113,97,87,85,86,87,145,186,185,178,163,170,120,134,183,156,161,166,170,174,176,178,181,179,222,249,206,149,109,96,85,86,92,113,182,189,189,186,170,167,117,131,184,156,161,166,171,174,177,180,182,181,230,245,202,141,101,87,80,84,88,145,192,189,190,182,165,160,119,119,182,157,162,167,171,174,177,180,181,184,239,241,202,148,103,81,78,76,72,153,194,191,191,168,157,152,125,118,177,157,163,168,172,175,177,180,181,190,247,237,199,149,104,80,70,69,69,94,158,190,184,156,158,143,123,140,183,158,162,167,171,175,179,182,181,203,250,232,195,150,105,75,66,76,86,87,97,126,138,158,165,143,127,174,187,158,163,168,172,176,180,183,181,217,250,228,191,151,107,75,65,76,86,92,105,109,125,158,153,129,154,188,187,157,163,168,172,177,181,183,183,230,246,221,186,154,111,79,71,80,88,105,124,127,128,147,133,139,185,189,188,156,161,168,172,176,180,182,185,236,239,212,185,165,114,87,85,96,107,124,132,126,122,125,122,171,191,189,189,156,163,170,173,177,180,182,189,236,230,204,194,169,112,98,91,107,123,135,129,120,114,114,146,189,190,190,189,158,164,170,174,178,181,182,192,233,224,207,204,170,125,109,93,112,130,135,124,113,111,152,188,193,193,192,190,158,164,170,174,178,181,182,194,231,226,216,211,178,138,113,97,108,127,129,118,109,130,190,194,193,193,192,191,158,164,171,175,178,182,183,200,238,234,225,214,180,140,115,102,104,120,119,112,112,166,196,195,195,193,192,189,158,163,169,174,178,181,181,204,240,235,229,206,168,134,115,106,106,113,112,111,148,192,195,195,194,193,191,189,156,161,167,171,175,179,179,208,238,233,223,188,152,126,114,109,110,111,111,143,189,195,195,195,193,192,190,188
3,52,0,12,42,62,71,82,93,100,106,111,115,118,121,123,125,127,129,132,133,119,138,140,142,145,146,146,147,44,0,18,45,64,73,83,94,102,106,112,116,119,121,123,127,129,131,135,148,83,115,147,143,144,146,147,149,31,0,24,47,65,75,85,96,103,109,113,116,120,122,125,128,131,132,139,160,85,97,151,143,144,147,149,150,20,0,29,50,66,76,87,98,103,109,116,120,121,123,126,128,133,132,143,156,77,101,151,143,146,147,149,151,9,0,32,53,67,77,89,100,104,111,116,119,122,126,127,129,137,135,149,156,77,110,152,145,148,150,151,152,0,0,35,56,69,79,91,101,106,113,118,120,124,128,132,133,121,125,160,140,75,109,153,148,151,152,153,154,0,3,39,58,71,81,92,103,109,114,119,120,123,112,145,171,131,91,145,116,69,112,156,149,152,153,153,154,0,10,42,61,72,82,94,104,109,115,113,149,172,128,102,142,153,82,112,113,57,127,156,152,154,153,155,156,0,16,45,63,73,85,96,105,110,114,122,141,158,167,113,88,150,115,127,101,62,144,154,154,155,156,157,158,0,21,46,66,76,87,98,106,106,136,183,147,83,113,134,67,135,137,129,93,58,148,154,154,155,158,158,159,0,26,48,67,77,87,99,108,106,148,159,147,121,81,128,107,53,53,127,110,73,101,160,154,157,159,159,161,0,30,51,68,78,88,100,108,107,155,134,84,126,113,94,131,54,43,113,147,129,66,134,162,158,159,160,162,0,32,54,69,79,89,101,107,111,163,120,54,66,68,73,76,75,78,85,145,132,69,131,164,158,160,162,163,0,36,56,70,81,90,102,105,116,160,119,107,88,57,73,75,97,91,96,153,127,68,148,162,160,162,163,163,4,39,57,70,82,91,103,104,126,169,141,110,79,62,81,100,116,93,115,174,125,76,160,161,162,163,165,166,11,42,59,71,82,92,103,102,129,171,124,89,67,70,89,116,122,118,148,172,110,84,166,160,162,163,166,167,17,44,61,72,83,94,104,104,132,167,122,94,75,78,96,126,130,160,167,161,99,84,167,161,163,164,165,167,21,45,62,73,84,95,105,103,131,172,137,102,84,79,100,129,157,182,159,135,94,88,170,161,165,166,166,167,25,46,65,74,85,95,104,105,130,174,141,115,89,88,101,145,180,179,156,114,71,107,171,161,165,167,167,168,29,47,65,76,85,96,104,107,127,176,152,123,95,95,108,162,179,170,153,109,55,121,169,161,165,167,167,167,31,49,66,76,86,96,104,109,120,167,151,125,111,102,115,172,178,162,144,101,51,137,168,162,165,168,168,168,34,51,66,75,86,97,103,109,115,150,151,134,129,114,120,166,171,153,135,88,56,155,165,165,166,168,168,169,37,53,66,76,86,98,103,109,114,137,156,144,137,127,115,151,156,136,120,78,74,168,164,165,166,167,168,169,37,54,68,77,86,99,105,110,114,134,160,150,140,123,111,132,139,125,120,61,105,173,162,165,166,167,170,169,38,55,67,77,87,99,105,110,113,138,173,150,134,112,106,121,123,121,115,64,143,167,164,166,167,168,170,170,39,56,68,77,88,99,104,111,112,146,179,146,134,115,110,125,115,122,87,84,168,161,165,166,167,168,170,170,40,57,68,78,88,98,104,112,112,159,178,157,143,118,124,134,114,110,67,119,168,161,165,166,167,168,169,170,40,58,68,78,88,98,103,113,113,165,179,172,137,120,133,133,110,86,60,142,164,163,166,166,168,169,170,170
8,172,174,174,176,176,177,181,177,177,176,175,175,174,174,173,170,169,168,168,166,165,162,162,160,156,156,153,152,174,176,178,178,179,171,158,180,180,179,177,176,176,176,174,172,171,169,169,169,168,166,163,161,158,156,154,153,177,178,180,179,185,168,84,158,189,181,182,179,177,177,175,175,173,170,170,169,169,167,165,162,160,157,156,156,178,180,181,180,186,146,73,137,195,182,183,181,180,180,177,176,176,174,173,172,170,169,167,165,162,158,158,158,178,182,183,183,188,145,63,142,198,184,185,181,181,181,180,179,179,178,175,174,172,170,168,168,164,159,160,159,181,182,184,186,187,139,53,157,195,186,186,189,187,183,182,180,179,177,180,182,171,172,171,169,166,163,162,160,184,185,187,186,190,141,53,155,198,188,189,174,185,189,185,189,182,131,100,147,145,135,178,169,170,167,165,163,186,187,189,188,194,160,67,140,203,190,166,116,104,179,146,115,138,134,88,59,122,95,179,170,169,168,167,164,187,188,188,190,194,156,59,122,208,180,158,140,92,111,132,82,73,144,117,54,75,86,158,179,170,170,168,166,187,189,191,192,193,158,89,96,205,173,168,158,112,82,134,100,80,144,104,55,46,77,89,181,173,170,169,168,189,192,194,195,194,184,142,88,186,177,162,170,119,67,122,118,73,121,90,49,30,88,62,117,184,171,171,169,189,193,192,194,195,192,149,94,148,152,132,167,123,70,97,126,62,100,133,73,30,92,65,82,187,171,172,170,190,192,194,195,196,197,158,146,135,137,104,148,125,65,67,125,67,92,158,77,46,111,56,116,190,172,174,171,193,194,196,197,198,200,192,169,129,115,106,128,127,73,53,97,62,17,77,38,70,112,50,152,185,176,175,172,194,195,196,198,198,199,198,149,110,80,76,99,143,123,52,30,31,41,28,81,128,96,59,179,180,178,176,174,196,195,197,199,201,202,193,148,119,85,66,69,152,136,76,31,88,144,135,124,135,70,79,195,178,178,175,174,195,196,199,200,202,201,201,174,136,90,71,70,120,112,67,79,149,146,146,108,93,46,109,197,179,179,176,174,194,197,202,201,202,203,200,178,139,101,76,69,107,130,131,156,170,140,131,95,61,38,166,190,182,180,178,176,195,198,200,201,204,204,199,184,149,115,88,70,112,174,185,181,163,131,117,86,26,101,200,184,184,181,179,178,196,197,201,203,205,205,195,181,156,120,90,83,130,185,174,170,148,119,102,65,39,183,192,186,184,183,180,178,198,200,201,203,204,205,188,175,164,124,97,97,143,174,171,164,133,111,91,34,117,204,188,187,186,184,181,179,199,201,201,204,206,207,191,180,169,130,109,101,150,165,170,152,119,99,64,48,192,194,190,188,187,186,183,180,200,201,203,206,207,209,202,187,176,141,114,97,145,156,151,131,102,83,27,128,208,191,191,189,188,186,183,181,199,201,205,205,206,209,205,195,174,142,116,103,132,144,130,110,84,43,60,202,196,196,192,190,189,186,183,180,201,203,205,205,206,208,207,192,165,138,119,111,119,135,118,96,66,31,175,204,195,195,191,191,188,186,185,183,202,204,205,205,206,209,207,193,167,148,137,129,117,128,110,87,33,127,215,196,197,195,193,191,187,186,186,183,200,203,206,208,208,206,203,199,174,167,146,136,123,121,93,56,63,206,201,200,198,196,194,191,187,187,185,182,201,204,207,207,210,199,193,201,178,172,143,136,123,99,80,37,130,216,200,201,198,195,195,193,190,188,187,184
15,133,132,120,98,124,93,42,67,82,84,86,89,93,100,113,125,134,140,144,147,152,157,162,166,169,172,174,176,137,135,120,101,127,90,43,69,82,84,87,91,94,101,114,126,135,141,145,148,153,159,164,167,171,174,176,177,141,138,119,105,132,86,44,72,82,85,88,91,95,102,116,128,137,143,146,150,155,161,166,170,173,175,178,179,144,141,118,109,135,80,45,75,83,85,89,92,95,104,117,128,138,145,148,152,157,162,167,171,174,176,179,181,146,144,117,114,136,75,48,77,84,86,90,93,96,104,118,130,139,146,150,153,159,164,169,173,176,179,181,183,150,146,115,120,137,70,52,79,84,87,90,94,97,105,119,131,141,148,151,155,161,166,171,174,178,181,183,185,153,148,115,127,138,71,60,84,87,89,91,94,97,106,120,133,143,149,153,157,163,168,172,176,179,182,185,186,156,150,119,143,149,112,105,120,118,115,113,110,107,111,120,132,142,149,152,158,164,168,173,177,180,183,186,187,158,151,128,154,146,135,136,149,144,141,146,147,136,125,123,134,143,144,143,153,164,169,174,178,181,185,187,188,159,149,119,137,119,108,114,131,126,126,146,156,141,126,132,150,156,145,130,128,155,170,175,179,183,186,188,190,160,148,114,139,115,74,86,104,104,106,128,142,131,123,144,160,158,157,150,121,127,159,176,181,185,188,190,191,163,147,115,150,119,51,73,90,91,93,104,122,126,139,163,158,152,165,165,143,114,121,161,181,186,189,191,193,166,146,117,155,114,47,75,89,89,92,111,130,131,138,155,142,144,160,160,155,125,100,118,164,185,190,193,195,168,144,121,159,108,46,77,89,88,101,149,152,124,110,110,113,138,154,153,146,127,105,90,114,160,187,194,196,171,142,125,162,102,47,80,89,88,105,161,166,133,103,84,93,136,156,147,122,108,101,88,83,105,159,192,197,175,141,131,165,97,48,82,89,88,100,151,176,157,135,117,121,135,140,130,102,89,89,85,79,78,107,171,197,177,139,137,165,90,50,85,90,101,128,160,169,162,141,123,122,121,120,117,99,84,84,82,78,75,78,126,184,178,137,142,164,84,52,86,94,136,157,153,145,147,126,101,102,102,100,100,90,84,87,85,80,76,75,88,135,178,134,147,163,79,54,88,97,138,139,122,116,120,102,84,85,82,81,84,86,91,98,94,81,75,77,78,86,177,132,152,162,73,56,89,92,107,104,95,105,110,93,82,85,79,75,88,96,104,109,98,78,74,78,79,77,178,131,158,160,68,59,90,90,90,90,92,113,136,119,96,91,91,86,88,96,105,104,91,77,75,80,82,81,177,131,165,158,64,62,91,89,88,89,91,99,113,112,96,90,107,110,87,88,99,96,86,80,81,84,83,81,176,132,173,158,60,64,91,89,87,88,90,93,100,112,120,128,137,127,102,97,97,92,87,85,85,83,80,78,175,133,179,155,56,67,92,88,87,87,89,92,100,116,132,144,153,132,89,90,108,107,96,86,74,65,60,56,171,135,183,150,53,70,92,88,86,87,88,90,99,116,131,144,152,120,76,74,99,92,69,52,39,33,29,24,167,138,187,143,51,72,90,86,85,85,87,89,98,115,131,145,148,107,77,69,53,46,42,32,25,21,18,14,162,142,190,137,49,74,89,84,83,84,85,88,97,114,131,145,139,95,74,69,50,28,36,31,24,20,16,13,160,147,193,131,48,76,89,84,82,82,84,86,96,113,130,143,129,86,72,69,56,23,29,29,21,17,15,12
4,199,199,199,200,200,200,200,200,200,199,200,200,199,199,199,198,197,194,195,195,194,193,191,191,190,189,188,187,201,201,202,202,202,203,202,202,202,201,201,202,204,201,200,200,200,202,199,196,195,194,194,193,192,191,190,188,205,205,205,205,204,205,204,204,204,205,204,202,200,206,205,196,172,162,197,202,201,200,196,195,195,194,193,192,207,206,206,207,207,206,206,206,206,205,204,191,166,168,204,199,170,130,152,200,166,175,200,197,196,196,194,193,209,208,208,209,209,208,208,208,208,207,212,214,189,160,149,194,188,152,115,166,159,118,164,207,196,198,196,196,210,209,210,211,211,211,210,211,209,203,200,203,211,188,143,143,193,170,117,143,169,123,114,205,199,200,199,197,212,211,211,212,212,213,212,214,205,194,192,150,170,187,130,112,190,169,117,124,171,138,102,200,202,200,200,198,213,213,214,214,214,213,214,213,208,205,196,149,127,168,122,106,171,140,97,144,176,145,114,207,204,203,202,202,214,214,215,214,215,216,215,216,201,161,188,165,122,148,153,104,140,127,85,151,150,109,130,217,204,205,205,203,216,215,217,216,217,216,216,216,214,161,147,189,151,131,179,112,119,144,140,145,112,75,152,219,206,207,206,205,217,217,216,217,218,216,215,218,203,145,120,179,155,171,178,158,161,160,186,157,101,79,189,214,208,209,207,206,218,217,218,218,218,218,217,220,203,179,175,147,101,188,178,167,176,164,174,148,109,102,213,212,211,210,209,207,219,218,218,218,219,219,219,218,214,200,163,127,95,124,155,144,147,144,138,137,127,100,186,220,211,211,210,208,219,219,219,219,220,220,218,217,215,188,149,116,106,104,122,133,132,128,119,148,142,115,118,218,213,212,212,211,220,220,220,220,220,221,219,217,207,171,137,113,110,129,134,162,171,166,148,155,156,147,99,167,224,210,212,211,221,222,222,222,222,222,220,214,208,182,150,120,122,129,153,191,190,204,191,166,193,168,116,113,221,213,213,212,223,223,222,223,223,223,222,212,209,185,152,118,118,138,171,201,201,212,216,198,182,167,114,108,220,215,215,213,223,224,223,223,223,224,223,207,207,195,159,126,125,140,174,208,209,217,207,192,173,141,95,141,228,215,215,214,223,223,224,224,224,224,224,202,206,202,166,139,133,136,183,214,218,217,199,180,162,125,87,191,225,216,216,215,224,224,225,225,225,225,227,202,200,203,176,146,135,141,190,219,218,210,191,171,154,107,109,224,218,218,217,216,225,224,225,226,226,225,228,206,188,194,176,149,136,147,199,217,207,200,181,157,141,92,157,231,216,219,218,217,224,224,224,225,225,225,228,219,184,194,182,153,146,152,204,207,198,189,168,145,120,93,208,226,220,219,218,218,223,224,224,225,224,224,224,227,196,193,187,166,164,149,200,198,195,175,153,134,94,132,232,219,221,220,217,217,223,223,224,225,224,224,224,229,211,188,188,178,164,140,182,189,186,163,135,113,86,201,225,218,218,218,217,217,224,223,225,225,225,225,225,228,218,193,185,172,158,142,163,171,160,137,115,80,149,233,219,221,220,219,218,217,224,225,225,225,225,225,226,228,220,200,188,170,155,144,152,161,140,115,91,96,220,225,223,222,220,219,219,217,224,226,226,226,225,225,227,229,210,201,189,174,162,155,150,156,143,113,79,157,236,221,224,222,220,219,218,219,224,224,225,225,226,225,227,226,197,200,193,185,182,169,157,149,135,105,88,199,230,223,223,222,221,220,220,211
2,173,174,175,175,174,175,175,174,174,174,173,168,175,170,171,171,169,169,168,166,166,165,164,162,161,160,157,156,176,177,177,177,177,176,176,175,176,176,172,185,189,127,148,177,173,173,172,169,170,169,167,165,164,162,161,159,179,179,180,181,180,180,178,179,176,175,202,196,140,96,99,157,165,125,167,176,171,170,170,169,168,165,163,162,181,181,181,182,183,182,182,179,184,211,205,129,98,89,99,127,133,90,142,175,171,172,171,170,169,168,165,164,182,183,182,182,184,183,181,193,229,213,154,100,96,88,80,90,93,88,83,142,183,172,174,171,170,169,168,166,184,184,183,184,184,185,179,220,220,151,108,88,89,93,87,65,84,97,86,87,140,183,174,174,171,170,169,168,184,185,186,187,188,183,196,231,178,105,82,68,72,81,82,82,84,86,84,73,137,183,174,175,174,172,171,170,187,188,187,189,189,186,226,212,144,103,87,78,65,84,104,110,88,101,114,147,180,177,177,176,176,175,174,171,189,190,190,191,185,212,225,164,111,88,92,89,80,98,95,98,151,178,184,186,182,181,178,178,178,177,175,173,191,191,192,188,203,231,209,144,102,79,88,85,95,87,118,176,191,188,186,184,184,183,182,180,179,179,176,175,192,192,191,192,228,229,192,138,110,99,84,88,98,128,201,191,189,190,189,188,186,185,183,182,182,179,177,177,194,195,191,205,231,218,169,127,108,108,94,91,94,156,201,190,191,191,191,189,188,187,184,184,183,181,180,179,196,198,192,222,231,208,154,116,105,105,102,90,108,193,196,194,190,192,191,190,190,189,187,185,184,184,182,181,198,195,205,231,228,192,143,115,102,101,103,93,157,206,195,196,194,192,192,192,191,190,188,188,186,184,184,183,200,196,224,231,219,171,128,111,106,99,99,102,191,200,197,197,196,195,193,193,192,191,189,189,188,186,185,184,198,209,231,231,205,157,119,108,105,106,93,125,209,197,200,198,198,197,196,195,193,192,194,192,189,188,186,185,198,224,231,226,188,140,111,106,103,104,78,151,213,199,201,200,199,197,197,197,197,193,189,183,190,192,188,187,210,231,231,214,165,123,110,102,96,91,78,112,207,206,199,201,199,199,199,199,186,168,163,152,128,185,191,190,226,231,228,192,152,127,114,97,85,86,92,85,123,199,210,205,205,204,202,174,168,162,145,113,127,189,193,190,228,230,218,180,155,132,113,88,80,92,91,101,103,114,160,189,178,169,171,163,174,144,120,162,197,195,192,191,231,231,221,181,151,128,106,87,89,105,109,123,132,120,113,141,149,162,169,173,161,117,178,207,196,195,195,194,171,180,189,169,147,121,101,92,99,115,129,133,142,142,133,157,161,165,160,141,113,149,207,197,198,197,196,195,64,64,56,57,72,69,71,83,106,122,131,138,144,147,134,150,138,131,138,152,174,202,202,201,200,198,196,195,71,61,41,36,45,40,31,36,68,118,129,135,141,135,111,117,149,183,200,211,210,203,203,202,201,199,198,197,66,55,40,43,48,39,33,28,23,57,124,130,119,116,152,191,213,214,209,207,208,207,205,203,203,202,201,199,60,52,42,44,43,35,29,25,27,21,68,119,146,197,218,215,210,209,209,209,207,206,206,204,203,203,201,200,55,51,42,44,41,33,26,24,29,19,59,201,217,214,210,211,212,213,211,210,210,208,207,206,204,204,202,201,55,49,42,42,39,32,26,24,31,16,157,231,209,213,213,213,213,212,211,211,211,209,209,210,206,205,204,202
3,91,101,107,111,114,118,125,130,132,134,136,137,138,139,140,141,141,145,143,142,142,142,142,143,144,142,140,141,94,105,112,116,119,124,130,134,137,139,141,143,143,144,145,148,153,105,141,148,146,147,147,147,146,146,145,144,101,111,117,122,127,131,136,140,143,146,148,149,149,151,150,157,166,69,113,161,151,154,154,152,152,150,149,148,107,116,122,126,132,136,141,146,149,152,153,154,156,157,156,162,167,66,83,170,158,159,159,158,155,156,154,152,113,120,127,132,137,141,146,151,155,157,158,159,161,163,163,167,172,67,66,169,165,165,164,163,161,160,159,157,116,126,132,136,142,147,152,157,160,163,164,166,167,169,170,172,184,90,59,169,170,170,169,169,168,166,164,163,119,130,137,140,146,151,157,161,164,168,169,170,173,172,172,165,195,97,44,161,178,174,175,174,173,172,168,166,123,133,140,143,149,155,160,167,168,171,173,174,174,183,202,147,110,88,64,153,184,179,179,178,178,176,173,170,127,138,144,148,155,160,166,171,174,177,181,186,160,146,219,188,90,157,89,141,192,182,183,182,181,179,177,176,132,141,147,151,158,163,169,175,179,177,163,206,201,139,177,194,130,168,53,99,202,183,185,185,183,183,183,181,135,143,150,154,162,167,172,177,181,194,168,149,206,169,144,184,116,160,94,52,174,196,189,189,188,186,186,185,137,146,153,158,165,170,175,179,184,206,213,151,119,186,127,173,114,137,149,74,98,207,192,192,192,190,188,188,139,149,155,161,167,172,178,183,191,166,157,141,58,152,95,161,183,96,153,96,75,204,196,196,193,193,192,192,142,152,158,163,169,174,182,185,196,160,107,138,53,122,98,79,98,29,124,103,77,205,200,200,198,197,196,193,146,154,160,166,172,177,184,186,195,197,148,118,86,91,161,79,0,27,161,112,70,203,202,202,199,198,198,199,147,156,162,168,175,180,185,189,199,193,121,71,53,35,109,68,20,95,191,116,55,183,209,203,202,201,200,200,148,158,164,170,176,182,187,190,199,195,149,100,67,36,38,79,125,161,163,106,52,175,215,205,206,205,202,201,152,160,166,172,178,184,190,191,201,213,168,107,76,75,89,174,220,194,134,81,63,194,214,208,209,206,206,204,152,161,168,173,180,187,192,192,200,214,179,126,103,103,112,209,220,172,124,62,78,213,210,210,210,209,207,205,152,163,169,175,182,188,191,195,200,210,189,147,114,99,124,209,206,153,111,54,106,225,211,213,212,211,209,207,153,161,169,176,181,186,190,197,200,203,188,149,124,120,121,202,197,141,94,47,143,226,212,215,214,214,211,209,154,162,169,176,182,186,191,195,199,197,187,157,142,136,110,190,177,125,79,51,176,224,211,213,214,214,210,208,155,164,171,177,183,188,192,196,199,202,186,165,143,136,99,156,156,106,68,64,201,219,213,213,212,210,211,212,155,163,170,175,182,188,190,195,198,198,200,170,143,124,81,122,120,79,56,123,225,213,216,215,215,217,203,172,158,171,177,183,190,197,201,203,207,201,212,169,141,107,82,102,88,69,72,198,218,218,208,214,205,197,165,122,99,105,111,119,128,134,140,150,151,192,212,172,148,110,97,96,85,53,123,218,176,171,193,146,161,183,120,114,68,69,70,71,72,70,70,75,72,180,202,168,150,138,107,86,70,48,184,235,182,147,164,154,123,166,85,133,77,78,82,82,82,86,92,87,97,198,189,147,141,145,96,75,52,87,169,212,186,162,122,160,133,122,82,152
21,125,132,137,139,142,147,152,155,158,160,161,163,165,166,166,166,167,166,165,165,166,164,164,163,162,161,161,159,126,134,139,141,144,148,153,156,159,162,163,165,166,167,169,167,168,167,167,166,166,166,166,164,162,161,161,161,128,136,140,142,146,151,154,157,161,164,166,167,167,167,168,171,169,169,170,169,167,168,167,165,164,163,161,161,129,137,141,143,146,152,155,160,163,165,167,168,167,184,153,142,176,170,171,171,170,169,168,168,166,165,164,162,130,138,143,143,147,153,157,161,163,166,168,170,169,196,161,110,168,174,172,172,171,171,171,168,171,167,166,164,132,140,144,144,150,155,159,161,165,168,169,171,169,191,179,117,151,180,173,173,174,172,175,163,135,167,168,166,132,140,144,145,151,156,160,163,167,169,172,173,172,184,201,146,138,182,174,175,175,173,180,159,101,155,172,167,134,142,146,147,152,158,163,165,168,170,173,175,175,181,212,165,124,178,177,177,175,177,178,153,107,160,173,169,136,143,147,149,154,160,164,166,169,172,174,177,177,179,207,170,120,166,182,179,176,185,182,139,111,176,172,171,137,144,148,150,156,161,165,168,171,174,175,178,179,178,208,181,127,151,186,179,178,190,178,127,127,182,173,173,137,144,148,151,157,161,166,170,172,175,176,179,181,177,206,197,140,144,188,178,184,185,156,109,152,182,174,174,138,146,149,152,157,162,167,170,173,176,178,180,181,179,197,197,136,140,189,182,195,185,146,100,171,180,175,175,139,148,150,153,159,164,168,172,175,177,179,181,183,183,196,194,123,124,189,184,194,180,129,122,186,177,177,177,140,149,152,155,160,165,170,173,175,179,180,182,184,156,154,199,129,141,171,180,176,154,102,153,187,178,179,178,140,149,154,156,161,167,171,174,177,179,181,189,195,148,121,162,141,138,165,176,172,124,102,182,182,181,180,179,141,149,155,156,162,168,173,176,178,180,182,176,193,153,144,126,143,138,127,159,162,104,144,192,181,182,181,180,142,151,154,157,164,169,174,177,179,183,197,152,149,161,162,156,165,143,83,112,136,90,158,191,184,184,183,181,143,152,155,158,165,170,175,178,178,196,208,180,124,152,161,153,153,131,109,84,90,86,166,191,184,185,184,183,144,153,156,159,165,170,175,179,180,196,208,189,129,125,152,106,124,141,128,105,80,80,176,191,185,186,185,184,145,153,157,160,166,172,177,180,180,205,200,177,142,112,157,141,93,149,146,120,99,71,152,198,186,187,186,184,145,154,158,161,167,173,178,181,182,205,193,180,145,89,152,206,114,137,174,129,112,82,117,201,187,188,187,186,146,156,157,161,168,173,178,183,182,205,218,193,134,121,117,155,109,161,165,133,115,88,112,201,188,190,188,186,147,155,157,161,168,174,179,184,182,202,218,204,153,168,102,126,180,165,154,119,112,80,124,202,188,190,189,187,147,156,159,162,169,175,179,184,184,197,221,192,167,148,120,170,191,146,147,140,105,75,138,203,189,191,190,190,148,157,159,163,171,176,180,185,187,194,218,189,187,151,158,201,175,157,149,147,115,70,162,202,191,191,191,191,147,155,157,162,169,175,180,185,187,189,209,191,187,159,167,199,173,158,137,129,100,79,189,196,192,192,192,191,147,155,156,162,169,175,180,183,186,191,202,192,182,166,140,171,154,134,117,106,73,113,204,192,193,191,191,190,149,155,158,163,170,175,180,183,192,168,165,200,179,158,129,132,134,125,107,93,71,167,202,193,193,191,191,190
19,169,172,174,174,175,177,178,177,177,179,179,179,178,178,176,175,175,175,174,173,173,172,172,172,170,170,170,169,172,173,175,175,176,178,179,179,180,180,180,180,180,178,179,169,144,157,176,175,175,174,174,173,172,171,171,170,173,174,176,178,179,179,181,181,181,181,181,182,182,180,189,166,124,112,175,178,177,176,175,175,173,172,172,172,174,176,178,180,181,181,182,183,183,182,182,183,183,185,197,168,131,96,168,179,179,178,177,177,175,173,174,174,175,178,180,181,182,183,184,184,184,184,184,185,184,190,195,162,126,90,166,181,180,179,178,178,176,175,175,176,177,179,181,182,183,186,186,185,185,185,185,186,184,193,189,147,114,90,165,178,177,174,178,194,164,173,177,177,178,180,182,184,185,187,187,187,187,187,186,186,184,191,186,155,146,156,180,174,180,178,187,207,138,166,178,178,180,181,184,187,187,187,187,187,187,188,187,191,193,192,183,177,182,194,189,172,170,169,154,140,137,176,179,179,181,183,186,187,189,190,189,188,187,194,202,210,211,201,184,166,159,150,145,130,123,123,130,149,175,180,180,180,184,185,187,188,190,191,194,195,196,207,211,210,201,189,182,177,163,109,108,133,155,166,179,185,183,183,182,181,186,187,188,190,191,197,211,205,201,199,201,201,198,196,192,188,170,107,135,187,187,187,186,186,185,184,183,182,188,188,189,191,190,206,219,208,200,200,206,208,207,200,193,185,154,99,115,189,188,187,187,185,185,185,184,183,188,189,191,193,192,206,214,198,192,201,208,209,201,193,193,193,171,100,88,178,189,188,187,186,185,186,185,184,189,190,193,194,194,206,205,192,192,194,190,192,196,201,194,194,178,103,73,150,191,188,188,188,186,186,186,185,191,192,194,195,197,209,195,195,194,187,179,198,200,192,185,181,154,97,68,126,193,191,190,189,187,187,186,186,192,193,194,196,198,205,203,205,203,203,206,206,195,187,180,168,139,90,65,111,193,193,192,190,189,188,188,187,193,194,196,198,199,201,219,213,204,203,202,191,181,177,185,193,179,110,62,134,195,193,193,192,190,189,188,188,195,195,198,200,201,199,217,215,199,192,176,153,173,200,199,189,180,118,84,179,196,195,193,193,192,191,191,189,195,197,200,200,202,199,203,209,198,191,182,187,204,199,181,167,153,104,81,179,197,196,195,195,194,193,192,191,195,198,200,201,202,201,199,207,214,207,198,200,196,180,166,148,125,87,94,186,197,196,196,196,196,194,193,191,197,199,201,203,204,203,200,204,214,202,188,188,178,162,138,106,80,95,165,198,198,197,197,197,196,196,195,194,199,201,202,203,205,206,197,203,205,194,176,168,147,124,95,68,64,155,202,200,199,198,198,198,197,196,195,195,199,202,203,205,206,207,198,200,200,186,165,151,133,105,80,71,105,197,202,201,201,200,200,199,197,196,195,195,199,201,204,207,207,207,198,192,194,181,157,144,136,103,79,74,117,204,203,203,202,202,202,201,200,198,197,196,199,201,204,207,208,208,198,187,185,178,154,135,111,89,80,75,91,196,205,203,203,202,202,201,201,199,197,196,199,201,203,205,207,208,196,185,178,177,164,143,112,91,82,75,87,192,204,203,202,201,201,200,200,197,195,194,200,201,203,205,206,208,190,188,183,175,160,144,113,92,82,75,97,196,204,203,202,201,201,200,199,198,196,195,200,202,204,206,207,209,186,196,199,187,157,128,102,85,79,73,130,203,204,203,203,201,201,201,200,199,196,195
20,158,161,165,168,171,173,175,176,176,178,180,178,176,177,177,174,177,162,172,174,171,171,170,168,166,166,165,164,159,163,168,170,172,174,177,178,179,180,181,181,180,179,178,180,192,124,138,178,174,171,171,169,169,169,167,165,160,165,168,171,174,177,178,180,181,181,182,182,181,181,178,188,192,119,103,153,133,174,172,171,171,170,169,167,163,167,169,172,175,179,180,182,183,184,184,182,182,183,179,192,186,112,108,164,93,161,178,173,173,171,170,169,164,168,172,174,178,180,182,185,186,184,186,187,185,184,180,203,192,115,113,166,97,150,182,175,175,173,172,171,165,170,172,175,179,181,183,186,186,186,187,188,187,187,182,213,186,115,122,167,104,152,184,176,176,175,174,171,167,172,174,177,180,182,185,186,186,188,188,188,188,186,190,205,162,103,151,179,112,145,187,177,178,177,174,173,169,174,177,179,181,184,185,188,188,189,190,189,193,190,201,201,153,86,157,170,105,144,189,179,179,178,177,174,171,175,179,180,183,186,187,190,190,191,192,191,172,157,210,202,146,86,167,163,95,151,189,180,181,180,179,176,172,176,179,181,185,187,189,190,193,194,191,201,167,99,187,181,102,111,190,159,98,160,191,183,182,181,180,178,174,177,181,183,186,188,190,191,195,195,201,214,179,133,137,103,63,130,177,144,92,172,190,183,182,183,181,179,175,178,181,185,187,190,193,193,195,192,166,185,199,167,117,91,75,126,140,111,93,188,187,186,186,185,183,181,176,180,183,187,189,192,194,194,208,203,138,140,204,156,144,137,130,135,104,86,121,200,187,188,187,186,184,182,177,181,186,188,191,193,194,201,223,213,161,144,176,167,163,148,159,145,85,67,157,199,189,189,188,187,185,183,179,182,187,189,193,195,193,214,210,217,161,136,192,177,145,144,145,126,99,61,165,200,191,190,189,187,187,186,180,183,188,190,193,196,195,228,203,191,176,113,160,150,77,81,145,137,118,68,160,203,191,192,190,188,189,186,181,185,189,193,195,195,204,222,184,175,177,93,66,70,48,47,141,173,132,85,105,203,193,193,192,190,188,187,183,186,189,193,196,198,202,232,217,196,162,133,89,48,89,162,172,181,148,103,66,169,201,193,193,192,190,188,183,187,191,194,197,198,205,234,223,193,155,172,108,78,183,214,194,164,144,106,74,156,205,193,194,193,192,188,183,188,193,195,197,199,206,234,226,185,152,139,93,144,217,193,170,157,113,104,76,180,201,195,196,194,192,189,185,189,194,195,198,200,206,232,220,185,181,127,145,223,204,169,144,156,109,81,91,205,197,197,196,195,193,191,186,190,195,197,201,202,205,228,219,194,187,135,184,222,190,169,151,147,126,61,129,213,198,199,198,196,194,192,186,191,195,199,201,203,206,219,215,196,187,141,174,200,177,164,141,128,108,62,183,206,199,200,198,197,195,192,187,192,195,199,199,205,208,218,213,199,179,143,141,166,155,139,119,113,67,121,214,200,202,201,199,198,195,193,186,190,194,196,208,185,85,168,209,194,148,115,118,130,148,128,105,73,72,200,207,203,202,201,200,198,196,194,185,188,192,201,194,93,53,67,149,164,127,121,128,131,153,120,87,58,168,212,201,202,202,201,199,196,195,193,186,190,196,199,102,56,69,59,66,125,143,136,131,131,140,106,60,136,218,203,204,203,202,200,199,197,195,193,186,189,203,124,63,72,57,62,56,63,106,116,120,118,107,79,81,205,209,206,205,203,202,201,200,198,196,195
4,165,166,167,169,171,172,173,174,175,176,178,179,179,178,178,177,177,177,177,176,175,174,174,174,175,174,173,172,165,166,168,170,171,172,174,175,176,177,178,179,179,178,178,178,178,178,178,177,176,176,175,175,175,174,174,173,166,167,169,171,172,174,175,175,176,177,179,180,181,179,176,177,179,178,177,177,178,178,177,176,175,175,174,174,167,169,170,171,173,175,176,177,178,179,180,183,190,180,167,165,182,177,166,169,178,179,178,177,176,176,175,175,168,170,171,172,174,176,177,179,185,185,178,186,203,182,162,155,188,175,152,143,170,177,177,178,177,176,176,175,169,171,172,173,175,178,178,185,208,207,184,170,199,187,160,164,197,177,147,128,161,160,157,173,177,177,177,177,169,172,173,174,176,178,179,197,223,221,189,153,184,190,159,173,201,178,151,148,162,140,122,150,176,178,179,178,170,173,175,176,177,178,183,208,219,216,180,143,175,190,167,176,196,192,188,172,142,121,103,122,171,180,180,179,172,174,176,178,179,179,190,212,205,205,169,130,161,186,187,191,204,216,213,182,135,104,93,113,170,181,181,180,173,174,177,178,180,181,199,212,194,194,168,120,143,172,178,192,206,211,203,187,150,107,87,115,173,182,181,180,173,175,177,179,180,187,211,208,185,179,164,114,130,158,138,158,184,188,189,192,163,120,90,123,176,182,182,181,174,176,178,179,181,199,215,194,170,157,137,104,127,152,115,139,167,159,185,200,175,134,101,138,180,183,182,182,175,176,179,180,184,210,213,182,156,146,128,111,126,138,113,137,161,134,182,212,189,148,113,150,183,184,183,183,176,178,180,180,189,221,212,177,149,134,121,115,121,123,120,132,150,142,183,218,199,157,117,139,181,186,185,184,177,179,181,181,196,228,212,176,146,128,115,116,122,128,147,158,176,188,197,207,192,158,123,121,173,187,186,185,178,180,182,182,204,232,211,174,144,131,120,118,120,137,170,188,203,206,201,187,172,157,129,119,169,187,186,186,178,180,182,183,211,234,210,172,150,145,130,120,127,159,195,207,210,203,191,168,148,145,125,126,173,187,186,186,178,179,181,184,217,234,209,179,169,161,141,141,168,203,218,214,208,197,176,152,131,124,115,142,182,187,187,186,176,178,180,186,221,234,214,195,189,172,153,179,211,227,228,213,200,184,163,142,122,110,117,164,186,188,187,186,176,179,181,188,224,236,223,208,197,181,165,199,225,232,229,206,185,170,153,135,115,105,139,181,189,188,187,187,177,180,182,189,224,238,229,212,196,185,174,207,229,229,219,194,170,156,144,127,108,116,167,188,189,188,187,187,178,180,183,187,219,238,229,214,196,185,183,209,224,217,201,180,159,148,135,116,107,142,183,190,190,189,189,188,178,180,183,185,212,232,222,211,199,188,187,202,211,200,183,165,152,144,127,107,120,170,190,191,190,189,188,187,179,180,183,185,211,224,212,207,203,191,186,195,201,190,173,154,145,138,119,111,150,187,191,190,190,189,187,187,178,180,182,184,208,218,206,205,202,188,178,189,199,186,164,143,134,127,115,134,178,192,191,190,189,188,187,187,169,171,173,175,200,218,208,205,197,185,173,183,197,180,150,129,124,116,117,154,176,178,178,177,176,175,175,174,132,132,134,135,178,222,217,210,198,187,173,177,192,170,139,122,115,107,107,122,127,126,126,126,125,126,127,132,105,105,106,107,162,227,225,215,202,191,175,171,187,168,136,118,109,100,96,97,96,96,96,95,95,95,107,141
2,70,78,90,109,118,125,132,136,137,141,145,148,151,154,156,158,160,161,162,164,164,165,166,166,165,166,166,166,71,79,93,111,119,126,133,137,139,142,145,148,153,157,157,159,162,162,163,166,167,167,168,167,167,169,168,168,72,81,95,112,121,128,135,138,140,145,144,151,150,142,155,159,160,164,166,170,168,169,169,170,170,170,169,169,73,81,98,115,123,130,137,139,141,145,152,186,174,154,151,144,146,160,155,155,169,171,171,172,171,171,171,171,76,84,103,116,124,130,135,141,147,136,166,187,182,191,190,166,137,124,138,117,120,170,175,171,172,172,172,172,77,84,104,117,126,132,132,178,184,171,173,163,148,145,161,184,161,111,84,120,152,134,163,176,173,173,173,174,76,85,105,117,127,127,154,204,177,181,190,189,175,138,101,107,160,141,92,90,139,92,134,182,172,175,175,175,78,88,107,119,128,129,186,161,139,149,158,149,160,170,134,128,117,143,152,130,83,111,168,175,174,176,176,176,80,90,108,120,125,142,174,169,170,161,142,128,155,150,156,162,121,84,137,132,85,167,179,174,175,177,177,177,81,90,112,121,132,183,183,186,176,169,163,158,162,108,83,108,87,106,110,97,122,177,175,176,175,178,178,177,82,93,114,117,177,189,160,147,127,103,110,112,98,82,66,75,148,177,171,165,178,176,177,179,178,178,179,178,81,96,110,135,203,153,111,89,67,63,65,65,74,73,65,83,178,173,177,180,178,181,182,175,176,183,179,179,82,98,106,176,181,127,93,64,54,66,63,62,71,70,60,75,175,175,175,177,184,161,129,118,114,147,183,178,85,94,137,206,142,100,75,63,61,61,61,68,67,61,56,60,170,178,178,184,140,102,113,122,122,96,169,184,88,91,178,189,124,97,82,73,60,58,63,66,62,60,67,50,143,186,184,147,103,128,139,138,116,100,176,184,87,95,184,168,118,95,81,65,54,58,62,67,66,67,68,62,83,184,176,103,129,141,136,114,117,167,187,183,86,101,184,161,119,91,68,56,55,56,64,72,73,73,78,83,72,84,127,113,135,132,100,129,187,188,184,185,87,104,187,159,114,82,64,61,56,59,70,75,81,86,94,100,99,61,99,131,122,96,89,183,189,185,187,186,86,108,188,157,123,94,75,64,56,61,72,84,95,102,108,109,112,86,114,126,108,75,131,196,185,188,188,187,86,114,184,150,124,96,80,71,59,61,74,95,110,112,117,120,122,99,107,126,101,84,174,193,189,189,189,188,88,114,179,147,125,100,88,80,65,63,79,108,118,123,127,132,125,109,96,126,90,94,193,189,190,190,190,190,91,112,172,146,125,109,96,84,67,62,85,115,124,128,129,132,121,104,96,92,90,159,196,191,194,194,193,192,92,110,164,143,127,114,98,83,71,65,88,113,119,123,121,121,112,97,81,119,180,197,193,194,194,195,194,193,94,105,157,146,126,112,95,81,73,73,94,108,110,109,111,111,101,77,125,200,193,191,194,194,194,194,194,193,94,103,155,152,127,110,92,84,80,80,102,103,105,105,105,98,79,113,187,189,188,189,193,193,193,194,194,193,94,105,167,152,125,108,98,93,87,82,98,97,96,94,80,92,138,188,190,189,191,192,193,194,194,195,193,191,89,147,167,159,129,111,105,96,89,77,78,80,78,83,130,173,191,187,189,190,191,193,193,194,195,192,195,202,111,179,128,152,136,109,96,89,79,72,71,71,61,94,190,184,184,188,189,190,191,192,193,195,194,196,195,199
13,170,173,177,179,181,182,184,185,187,190,189,189,190,192,192,192,192,192,191,191,190,189,187,187,186,186,184,183,171,174,178,180,182,183,185,188,189,191,191,191,192,193,193,193,192,194,193,193,192,191,190,189,188,188,186,184,171,175,179,182,183,184,186,189,192,192,193,195,194,195,197,198,200,194,195,199,197,191,192,192,190,189,188,187,171,176,180,182,184,186,187,190,193,193,194,197,196,196,192,170,169,201,192,170,174,196,193,193,192,191,190,188,172,176,181,184,185,187,189,191,193,194,196,198,196,199,185,153,120,157,173,141,102,154,203,193,193,192,191,189,173,178,182,185,186,187,190,192,194,196,196,198,197,204,206,170,149,101,144,153,109,100,202,196,195,193,192,191,174,178,183,185,187,189,192,194,195,197,197,198,199,201,213,178,148,96,122,153,117,86,190,200,195,194,193,192,175,179,183,186,187,190,193,195,197,198,200,200,201,200,200,177,138,100,95,129,105,78,185,202,196,195,195,194,175,179,183,187,189,190,194,196,197,199,200,201,197,207,195,176,134,109,86,119,101,78,187,202,197,197,197,194,175,181,185,189,189,192,194,197,199,200,202,191,149,141,143,164,161,126,94,133,116,88,198,201,199,198,196,195,176,181,185,187,189,193,195,197,200,200,211,183,135,115,104,161,191,144,99,124,120,72,173,208,199,199,198,197,176,181,186,188,191,194,196,198,200,197,186,178,148,142,103,107,177,135,92,104,101,79,112,207,200,200,199,198,177,182,187,190,191,194,197,196,200,188,127,130,170,147,128,65,75,70,87,103,97,112,91,162,212,199,199,199,177,182,187,191,192,193,196,201,215,171,133,108,156,157,132,99,45,63,76,101,128,130,109,106,208,202,201,199,176,182,187,191,193,195,195,211,192,164,148,133,119,157,136,121,65,78,119,128,142,134,119,86,190,207,201,200,177,183,187,191,193,194,198,214,170,158,157,136,111,137,140,111,70,79,153,168,159,122,112,87,192,207,201,201,179,183,188,193,193,195,199,211,177,133,133,129,110,94,114,87,70,94,164,166,161,127,93,99,208,204,203,201,178,184,189,193,195,195,200,201,184,155,122,104,80,54,90,104,87,130,183,163,153,126,80,125,217,203,204,201,179,185,189,193,195,196,199,202,200,176,143,115,99,89,101,111,119,187,185,156,140,120,74,158,217,205,205,202,180,185,190,194,195,198,200,200,197,185,160,147,126,124,138,157,180,195,173,150,129,111,77,187,212,205,205,204,179,185,191,194,194,198,199,201,193,178,162,141,122,122,145,196,189,178,160,140,121,96,89,208,210,207,206,204,179,185,190,193,194,197,200,203,182,167,160,142,128,129,136,178,181,171,149,128,114,82,110,220,208,209,206,205,179,185,190,195,196,199,201,207,187,170,161,145,140,134,134,174,179,168,142,116,105,67,154,222,209,208,206,205,179,186,191,194,195,198,200,206,204,171,161,155,143,130,127,158,169,154,125,103,84,82,208,212,210,208,206,205,180,186,192,194,195,197,200,204,208,192,165,154,139,129,122,141,155,142,114,100,66,146,222,209,210,208,207,206,180,186,192,195,195,198,201,204,206,209,183,154,135,124,125,133,147,139,114,96,75,197,215,211,210,209,207,205,180,185,191,194,195,197,200,203,205,205,193,166,150,143,146,141,145,141,110,84,112,217,210,210,210,207,206,205,177,184,189,192,193,195,199,201,205,199,197,174,164,162,155,147,144,133,106,78,146,221,209,209,207,207,206,204
15,107,103,101,101,103,105,105,106,109,118,131,143,151,160,166,171,171,175,179,185,190,193,197,200,202,204,208,209,106,102,101,102,102,104,106,106,109,120,131,144,151,160,168,172,172,176,180,186,191,194,199,201,202,206,208,211,106,102,102,101,101,104,108,107,110,120,133,143,152,161,167,172,173,176,181,186,191,195,200,202,205,208,209,212,106,103,101,101,104,103,103,105,110,122,134,144,153,162,167,172,174,177,182,187,192,197,202,204,207,209,210,213,106,103,102,103,100,106,136,118,113,121,134,145,154,162,171,174,175,176,181,187,193,198,202,205,208,209,210,214,106,104,104,104,91,185,189,151,146,142,137,139,153,162,163,164,172,179,187,191,195,197,201,205,208,209,212,216,107,105,103,102,94,179,165,140,141,140,126,139,143,146,141,136,140,147,161,179,194,202,207,208,208,209,213,216,107,104,103,103,98,116,128,110,117,110,105,136,127,128,123,136,148,139,137,142,154,164,178,197,215,211,214,216,108,104,102,101,103,103,103,103,106,101,104,112,107,106,105,140,145,140,142,146,149,142,125,123,160,221,214,217,107,105,102,101,103,106,106,106,112,124,136,135,136,133,122,129,127,126,118,138,161,153,137,133,100,159,227,215,108,106,102,101,102,103,104,104,111,125,137,151,159,166,171,158,126,111,136,164,167,163,134,144,137,90,182,231,108,104,100,101,102,103,104,103,112,125,139,147,156,177,178,159,141,146,206,162,173,146,153,164,144,122,100,204,107,103,101,101,102,103,104,104,112,126,136,152,202,187,150,132,129,125,195,141,130,155,193,150,170,153,104,108,106,103,100,99,100,101,101,102,111,127,128,184,222,148,125,130,133,102,133,111,100,216,165,145,184,165,128,89,105,102,99,99,99,99,101,101,109,127,127,178,196,127,128,149,155,147,123,97,119,195,117,134,186,175,138,103,105,102,99,98,98,99,99,100,112,128,129,168,176,108,140,157,166,158,126,114,124,128,124,147,168,160,133,103,103,101,98,98,97,99,100,100,112,127,128,173,220,134,131,160,171,156,116,110,122,124,139,148,137,117,110,99,102,102,98,97,97,99,100,99,110,126,129,175,193,210,168,133,129,118,105,113,120,122,129,141,133,99,93,94,102,101,98,97,95,97,99,99,108,127,125,217,197,184,202,153,112,75,78,108,124,127,137,150,134,99,94,93,103,99,96,97,96,98,99,99,109,124,133,170,188,202,190,176,152,95,45,56,82,136,136,139,117,97,96,97,93,90,88,87,87,88,90,91,102,117,131,140,151,174,166,169,146,133,78,57,70,131,150,128,109,105,108,108,142,137,134,130,127,122,121,123,129,136,142,151,159,162,145,135,151,180,125,64,88,100,147,157,142,131,121,114,147,142,141,141,139,139,143,143,139,137,134,132,137,141,143,140,142,207,145,90,107,90,106,130,131,121,111,103,130,129,129,128,127,129,130,128,129,130,124,120,124,127,129,132,121,147,128,131,136,128,126,114,103,103,100,95,135,136,137,135,135,135,137,137,135,137,137,135,137,138,138,139,140,136,138,138,142,141,150,151,124,105,98,94,137,138,140,139,138,136,137,138,137,138,139,138,138,138,136,138,139,139,139,141,137,136,151,163,146,126,106,115,138,139,140,140,139,137,139,140,139,140,139,140,140,139,138,138,139,139,140,140,139,137,133,149,191,136,139,148,137,138,138,137,138,137,138,138,138,139,138,138,140,138,138,140,141,140,140,139,138,138,137,136,230,216,189,179
11,143,145,148,149,150,151,153,154,154,155,155,155,155,158,157,158,157,156,156,156,155,154,154,154,153,150,149,149,144,148,149,150,152,154,155,155,156,157,156,159,162,152,161,161,159,158,158,158,157,156,156,156,156,154,152,151,148,149,151,153,153,155,157,158,159,160,157,168,177,109,160,163,161,159,160,161,161,159,158,158,158,157,154,154,149,150,153,155,156,157,159,161,161,163,157,183,176,89,155,163,162,161,162,163,163,162,162,161,159,158,156,155,150,153,155,157,158,158,160,162,163,163,160,207,157,89,163,163,164,164,163,163,164,163,163,162,160,160,159,157,153,155,157,158,159,160,162,164,166,160,177,217,121,101,171,162,165,165,166,165,165,164,164,164,162,161,161,159,155,157,158,160,161,162,163,165,167,159,203,208,99,133,174,166,167,168,169,167,166,166,166,166,164,162,162,161,157,159,161,162,164,164,164,167,162,175,218,177,90,155,172,169,169,169,170,168,167,168,169,167,165,165,164,163,157,160,162,163,165,166,168,168,168,208,214,133,94,174,171,171,171,171,171,171,170,170,170,168,168,166,164,165,158,161,163,165,166,169,170,165,187,218,199,91,121,180,171,171,172,173,173,172,171,172,171,170,170,169,167,166,162,164,165,166,168,170,171,167,202,218,179,72,157,179,172,173,172,173,174,174,174,172,172,171,170,170,169,168,163,164,167,169,170,172,172,176,216,218,160,131,192,151,171,176,173,174,175,176,177,175,172,173,171,171,170,169,164,166,168,169,172,173,166,195,218,216,212,208,175,99,149,182,175,176,177,177,177,176,175,174,173,172,172,171,164,166,170,170,168,173,184,214,218,218,217,164,103,86,133,184,176,178,179,178,177,177,176,175,176,174,172,171,165,167,171,173,195,210,218,217,218,204,186,145,85,82,116,184,177,179,179,180,180,179,177,177,177,177,173,172,166,170,167,196,218,217,217,217,218,174,99,110,88,90,99,179,180,180,181,181,180,180,178,178,178,177,176,174,168,170,174,214,215,211,217,218,207,153,92,88,90,91,95,173,184,181,182,181,181,181,181,180,178,178,177,177,171,168,190,218,215,218,216,194,159,162,115,86,84,91,96,173,184,182,185,182,181,181,181,181,180,179,179,178,173,169,206,218,217,202,166,124,98,172,139,93,78,79,108,183,183,182,184,183,183,183,182,182,182,179,179,178,171,179,217,218,204,151,104,63,45,175,154,90,89,140,175,188,191,191,191,187,186,190,186,182,182,180,180,180,169,195,218,211,183,137,99,53,110,176,100,62,100,182,189,181,167,143,120,110,110,126,175,189,183,183,182,182,172,211,218,207,164,114,79,49,97,108,43,51,46,61,92,95,96,93,89,96,93,80,89,165,189,184,184,183,187,218,217,189,132,87,63,53,51,53,52,56,61,56,66,90,106,118,112,109,100,88,65,100,193,179,183,182,210,218,210,164,118,85,56,51,51,55,62,68,75,79,98,112,112,111,113,120,142,149,124,141,190,182,181,182,217,218,199,148,109,77,49,51,60,76,86,88,91,96,110,105,127,161,183,190,193,194,195,191,185,185,195,142,218,216,181,134,102,71,49,70,87,99,106,106,101,90,106,153,194,195,193,190,189,189,187,188,195,183,136,79,218,205,162,123,93,71,59,91,106,106,105,111,91,131,184,195,191,190,192,192,190,191,190,195,165,99,68,60,214,188,142,111,91,72,65,94,102,103,105,92,128,200,193,191,193,192,192,193,193,192,195,163,87,74,67,56
19,136,143,148,153,157,158,160,163,166,168,171,174,175,178,180,180,182,182,184,186,187,188,189,188,188,190,189,190,137,144,149,155,157,159,162,164,168,171,174,176,178,180,181,182,184,185,187,187,190,190,189,191,189,192,191,190,138,146,151,156,158,161,163,166,169,173,175,177,181,183,180,184,185,187,188,189,190,188,197,184,190,192,192,192,140,147,153,157,160,162,163,168,172,172,186,182,159,175,187,185,186,189,189,190,186,204,217,135,177,195,191,192,142,149,155,158,161,162,166,170,174,171,215,189,149,129,181,187,186,189,197,199,208,210,157,125,189,195,194,193,142,149,156,161,162,163,166,172,176,170,206,203,162,149,188,201,191,195,207,205,189,146,124,179,198,196,195,194,143,150,157,163,163,163,174,165,169,176,191,202,195,201,195,192,185,172,184,166,130,141,185,200,195,196,197,196,145,152,158,163,159,196,204,171,164,169,182,187,181,169,162,169,158,140,137,141,172,202,199,197,198,198,198,198,146,153,160,161,168,217,182,173,177,183,190,189,179,168,164,149,149,125,185,199,203,197,199,199,198,199,200,199,145,153,162,157,181,198,162,163,171,185,188,185,185,179,158,124,115,142,209,199,199,200,200,199,200,201,201,201,147,153,162,158,201,201,175,175,181,176,167,164,164,146,135,119,103,165,206,199,201,201,201,200,202,202,201,201,148,155,160,166,233,210,192,188,189,183,180,175,158,115,115,117,108,185,205,201,202,202,202,202,204,203,203,202,150,157,160,172,224,204,186,172,165,174,176,169,145,116,113,118,118,195,203,203,205,204,204,204,204,203,204,204,150,158,161,169,208,198,174,155,135,131,143,143,143,118,116,114,142,207,201,203,205,205,206,206,205,205,205,205,151,158,163,168,201,200,174,130,120,95,95,139,150,122,120,116,140,209,202,205,205,205,206,207,207,207,206,205,152,161,166,165,200,202,175,140,111,86,129,150,143,115,114,113,120,201,206,206,206,207,208,208,208,208,208,208,152,160,168,162,201,201,175,149,128,103,102,105,100,100,108,116,118,196,209,206,208,208,208,208,208,209,208,208,153,161,167,161,207,204,177,154,131,120,111,97,98,107,112,117,121,198,209,207,207,209,209,208,208,208,208,208,155,162,168,159,205,202,175,151,133,126,125,111,104,108,115,114,130,206,206,208,210,211,211,210,210,211,210,210,155,161,168,157,196,195,172,149,131,125,123,113,106,112,118,114,153,214,206,210,211,211,210,210,211,211,211,211,156,162,169,161,195,190,168,144,130,125,122,114,110,116,121,114,185,213,208,211,211,211,212,212,212,212,212,212,157,164,168,170,199,185,164,141,128,123,124,119,117,120,112,143,210,207,210,212,212,212,213,213,213,212,213,213,157,166,165,176,204,184,160,138,127,125,127,122,119,115,152,204,208,209,210,211,211,212,213,213,213,213,213,213,158,167,165,180,196,180,161,144,131,127,126,123,112,145,209,206,207,210,211,212,212,213,213,213,214,214,214,214,158,166,166,188,191,173,158,145,129,120,118,119,113,183,208,205,210,210,212,213,214,214,214,214,215,216,215,214,158,166,170,204,186,170,149,135,124,115,113,113,123,195,206,208,210,211,212,214,214,215,216,216,216,216,216,216,160,163,177,207,188,174,156,144,144,120,113,108,134,204,205,209,210,211,212,213,213,215,216,216,216,216,217,217,160,167,174,195,191,177,161,155,149,120,113,107,136,206,204,206,208,210,212,213,214,214,215,215,216,216,216,216
18,226,226,226,227,227,228,229,229,229,228,229,229,229,228,227,227,228,228,229,228,227,226,225,224,222,222,221,219,227,227,228,229,228,228,230,230,230,230,229,229,229,228,229,228,229,229,228,228,227,226,225,226,224,222,222,222,229,229,230,230,230,231,230,230,229,230,230,229,230,230,230,229,230,231,229,231,227,226,226,226,225,223,223,222,230,230,230,231,232,233,231,231,230,229,231,231,231,230,230,231,230,237,224,220,231,228,227,227,225,225,224,223,231,231,232,233,232,233,233,234,232,231,232,232,229,232,233,231,230,254,225,191,217,231,229,228,228,228,226,224,233,234,234,233,233,234,233,234,234,234,235,232,246,247,220,228,255,255,245,203,205,227,226,229,228,226,226,226,234,234,235,234,234,235,235,236,233,235,234,247,255,249,216,200,240,254,255,247,248,237,198,197,229,226,226,228,234,235,235,235,236,236,237,234,239,255,228,242,255,242,222,193,238,237,255,255,255,245,199,158,213,231,227,228,236,236,236,237,237,236,233,239,255,255,225,201,255,239,214,198,250,226,227,253,255,241,193,151,185,234,228,228,235,234,236,237,235,237,233,255,255,255,230,201,255,245,213,197,253,238,198,255,255,243,185,148,173,238,229,230,237,237,237,237,239,234,251,255,255,255,235,198,255,252,214,201,255,234,206,255,255,241,181,142,187,240,229,230,239,240,240,240,239,239,255,255,255,255,241,200,254,248,213,190,239,219,205,255,255,232,175,139,213,238,231,232,240,241,239,241,239,255,255,252,251,255,236,194,224,233,208,166,188,182,226,255,255,219,169,155,237,234,234,233,240,240,241,238,248,255,255,227,232,226,196,164,190,210,177,131,201,235,255,255,246,209,159,194,243,234,235,234,242,243,244,240,252,255,255,228,210,208,176,144,205,207,155,213,255,255,254,241,233,198,159,227,241,236,235,235,243,244,245,239,255,255,255,239,202,194,178,137,219,196,231,255,255,255,238,218,217,181,157,236,238,239,237,236,242,244,246,242,255,255,255,245,224,197,187,177,172,229,255,255,255,255,225,201,196,159,185,248,237,239,238,238,244,246,245,247,255,255,255,251,235,210,199,199,223,255,255,255,255,241,208,188,181,142,209,248,240,240,240,238,246,246,244,251,255,255,255,255,248,221,216,234,255,255,255,255,255,226,195,180,158,164,240,243,242,241,241,240,246,247,244,251,255,255,255,255,255,238,230,250,255,255,255,255,249,215,186,173,143,217,250,241,242,241,242,240,245,246,244,249,255,255,255,255,255,243,237,246,255,255,255,254,225,205,174,152,163,247,244,243,242,243,243,240,246,246,246,248,255,255,255,255,254,241,240,242,255,254,243,244,214,187,162,136,210,250,243,244,242,243,242,242,246,247,246,248,255,255,255,255,247,236,236,242,252,240,233,231,211,170,145,153,245,244,243,244,245,243,242,249,245,248,245,249,255,255,251,249,237,228,230,235,250,235,224,217,189,153,125,203,254,245,245,244,244,243,243,207,249,249,249,255,255,255,254,251,241,240,231,234,255,224,204,190,162,123,155,249,246,246,244,245,249,252,199,144,205,198,186,224,255,255,255,254,254,255,229,232,250,205,181,164,129,127,238,249,246,246,250,246,225,191,153,143,164,163,157,161,167,167,171,174,181,197,185,200,208,179,159,140,109,210,255,253,253,253,222,175,152,140,135,128,181,153,154,156,150,145,139,133,123,119,119,122,123,116,113,111,105,133,151,175,218,218,144,146,149,144,136,127
6,214,214,215,216,217,218,219,218,219,220,221,221,219,219,216,216,216,217,216,214,214,213,213,210,208,209,207,206,213,216,216,218,219,220,222,222,222,222,223,223,222,222,219,217,218,218,217,217,215,215,215,214,210,209,211,209,216,220,220,221,221,223,223,223,223,223,223,222,223,223,220,219,220,218,218,218,216,217,216,214,213,212,211,210,217,220,222,221,223,224,223,223,226,224,225,224,223,223,223,222,223,220,219,219,216,217,217,217,215,211,212,210,219,222,223,222,225,227,227,228,229,228,226,227,225,225,223,223,221,222,223,221,221,220,218,209,208,221,210,210,220,222,223,224,226,227,229,229,229,229,226,226,227,227,225,225,227,227,224,219,215,202,199,170,217,255,190,199,222,224,225,227,230,230,230,230,230,230,231,232,229,227,223,218,207,196,200,207,201,189,191,172,193,212,157,201,225,226,227,229,233,235,233,232,231,231,225,223,222,215,198,186,157,167,177,201,186,171,144,127,122,144,190,219,225,228,230,233,233,236,236,234,233,224,188,184,168,180,199,187,175,140,152,148,124,106,109,138,172,208,221,216,228,231,231,234,234,237,238,233,227,214,197,198,157,99,136,135,115,88,101,111,145,174,213,230,228,224,218,218,231,233,234,238,239,238,233,209,213,216,220,203,138,81,61,59,65,102,162,217,234,235,227,224,224,223,221,220,235,236,237,240,235,227,220,209,201,208,217,182,114,77,64,72,175,218,240,236,232,230,229,229,226,224,223,222,236,236,235,232,226,219,214,206,192,203,202,191,167,95,67,69,212,247,229,235,235,234,234,231,227,224,225,225,236,234,232,227,220,208,206,203,196,198,204,209,186,112,71,64,83,240,236,236,234,234,233,231,230,227,227,226,230,231,236,225,213,206,206,206,201,202,204,200,182,124,69,74,56,154,255,236,237,236,234,232,232,230,230,228,244,247,238,224,214,207,204,206,202,196,201,203,198,159,79,64,70,71,226,245,238,238,235,233,233,232,230,228,254,249,230,218,221,209,204,203,206,208,212,212,201,154,87,66,64,57,221,247,239,240,239,236,235,234,233,230,247,235,223,225,217,207,203,202,202,192,189,185,166,130,94,74,52,141,255,239,241,240,239,239,236,235,234,231,251,230,217,221,204,202,208,198,192,177,168,163,145,118,101,87,52,137,255,242,244,241,241,239,238,239,237,234,254,242,214,197,197,204,209,203,189,176,165,165,148,110,99,100,76,62,232,253,246,243,242,240,239,240,238,234,232,235,201,180,185,197,197,193,179,162,140,133,108,89,92,109,79,61,232,254,248,246,242,240,240,240,238,236,91,161,169,155,168,181,180,168,148,130,114,98,52,68,94,102,69,174,255,249,249,248,245,243,242,242,241,239,37,51,104,127,142,159,151,132,107,89,77,70,59,80,96,107,202,255,251,250,251,248,247,244,242,242,241,240,42,41,36,50,68,96,110,100,112,146,179,140,114,119,169,235,255,253,253,250,250,250,248,246,246,244,242,240,33,37,35,7,2,16,23,33,233,255,255,255,255,255,255,255,255,255,254,252,251,252,251,249,247,246,241,240,29,27,41,27,0,8,0,102,255,255,255,255,255,255,255,255,255,255,253,255,252,251,250,249,247,245,242,242,26,23,34,34,0,4,0,215,255,255,255,255,255,255,255,255,255,255,254,254,252,251,249,249,247,245,243,242,22,20,35,36,4,0,78,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,251,250,248,246,244,242
5,171,173,174,178,179,180,179,180,181,179,188,142,153,177,177,177,176,174,174,173,172,171,170,169,163,95,49,49,173,175,176,179,180,180,182,182,182,181,201,123,124,179,179,178,177,177,169,159,174,172,173,172,134,52,56,70,175,177,179,180,182,183,184,184,185,185,200,116,139,182,181,180,179,182,146,109,176,175,174,165,83,45,58,79,176,179,181,182,184,185,186,186,169,193,184,105,165,184,182,181,178,162,109,119,177,176,175,144,59,48,59,73,178,180,183,184,186,188,189,197,112,189,167,102,180,186,185,183,160,128,95,165,179,178,177,118,54,60,75,83,179,181,184,186,188,191,189,201,116,165,161,107,187,188,186,169,133,96,140,181,181,180,179,129,64,71,75,80,181,184,186,188,190,192,191,209,140,137,146,117,190,189,166,138,111,116,182,184,182,180,180,150,74,73,72,66,182,185,187,189,193,194,194,201,153,120,121,136,191,166,126,112,99,167,188,186,184,182,181,168,81,62,56,58,185,187,190,191,194,195,195,206,166,108,102,152,180,126,101,91,149,188,188,187,186,184,184,182,107,45,43,58,186,189,191,192,194,196,196,213,183,113,115,136,146,107,93,119,190,192,190,188,188,187,187,185,136,53,49,49,189,190,192,194,198,198,198,209,182,115,114,113,117,103,92,156,194,192,190,189,189,188,187,187,164,127,127,89,190,192,193,196,199,199,199,202,178,119,97,90,95,95,98,185,193,185,187,192,193,191,189,188,175,102,155,153,192,194,196,198,200,201,201,201,186,141,100,88,80,84,124,183,148,122,131,182,193,192,191,188,176,119,168,139,192,195,197,199,201,202,203,200,197,159,105,84,79,78,105,114,108,118,127,137,164,188,190,190,186,154,117,121,193,195,197,200,202,203,204,201,207,179,129,90,80,80,83,91,100,102,130,148,145,158,162,164,171,179,136,153,194,197,199,200,202,204,205,205,216,202,162,108,82,80,87,79,83,86,122,128,144,154,148,122,119,166,170,169,194,198,200,202,206,206,206,207,218,213,179,118,85,76,82,78,123,173,189,162,148,131,144,140,127,103,175,174,196,199,201,203,206,207,207,208,223,223,183,123,89,74,71,120,199,202,201,190,157,155,156,137,119,128,183,125,196,199,202,205,207,208,209,209,227,229,188,131,91,71,57,99,160,201,189,145,142,153,130,114,168,189,191,153,197,199,202,205,207,209,210,211,227,231,191,136,96,66,64,79,89,155,126,133,142,120,96,165,194,193,192,185,199,200,203,206,208,209,210,215,228,228,188,135,97,65,66,79,86,84,103,128,119,102,156,194,195,194,193,191,199,201,203,207,208,210,210,215,232,225,183,135,97,67,69,84,90,94,101,111,108,174,199,198,196,195,193,192,199,200,202,205,207,209,208,214,231,219,174,132,97,70,73,92,96,97,92,97,172,200,201,199,196,194,193,191,199,202,203,206,208,209,207,217,227,209,167,132,97,69,76,97,101,96,89,162,200,200,201,199,196,194,193,192,200,202,204,206,208,209,204,222,226,203,167,135,94,68,73,96,102,92,119,201,202,201,201,200,197,194,195,193,200,201,203,206,208,205,210,230,225,197,167,136,95,74,74,96,97,84,168,202,202,202,201,200,197,195,195,193,200,202,205,207,208,198,227,233,219,192,169,133,91,76,83,96,86,114,200,204,202,202,201,199,197,196,195,192,200,202,206,208,201,203,234,229,206,187,167,127,87,76,84,87,88,183,205,205,202,201,201,200,199,197,196,184
23,75,87,106,115,120,125,130,133,135,139,141,144,146,149,149,152,154,155,156,157,158,161,162,163,164,166,166,167,76,88,107,116,121,126,131,135,138,140,142,146,148,150,152,153,154,156,157,157,161,161,163,164,165,166,166,167,78,93,111,116,122,127,132,135,139,141,145,147,149,152,153,155,155,156,158,157,163,164,166,165,166,167,168,169,81,95,112,117,124,128,132,135,140,144,147,148,149,154,155,157,159,161,160,162,163,164,166,165,167,171,170,169,81,97,113,119,126,130,134,138,142,145,148,149,150,154,156,157,159,163,161,162,162,165,168,172,170,171,172,173,83,99,115,121,127,131,135,139,143,145,148,151,154,155,156,158,161,160,164,167,152,153,158,110,157,176,173,174,86,102,117,121,128,132,136,141,145,148,150,152,155,157,158,158,159,171,181,165,135,119,93,76,168,175,173,175,90,106,118,123,129,132,137,143,146,149,152,154,156,158,158,165,178,172,165,116,74,106,113,162,179,175,176,179,90,108,120,125,131,134,138,142,146,148,151,155,157,159,154,194,177,132,99,76,139,154,182,178,177,178,179,181,91,110,120,125,129,135,139,143,146,148,152,156,157,158,158,201,178,95,86,182,172,82,156,180,176,179,180,181,93,110,118,125,130,135,140,144,148,150,154,157,158,159,165,206,180,155,202,193,144,100,126,192,179,181,182,181,94,111,120,127,133,137,143,145,147,150,153,157,159,159,174,202,186,204,188,157,143,156,117,136,148,185,181,183,95,114,120,126,133,138,143,147,149,151,154,157,162,160,175,189,183,185,172,179,180,163,106,57,79,169,189,184,98,114,120,126,133,139,143,147,150,152,154,159,160,164,176,173,166,179,186,174,160,138,87,39,42,111,195,185,100,115,122,127,135,139,144,148,150,152,159,159,168,186,176,161,164,170,162,156,158,130,71,35,43,54,111,187,102,116,122,128,135,140,145,148,151,154,158,154,192,207,170,164,165,165,160,152,131,107,69,39,33,66,59,137,103,116,123,128,134,140,145,148,151,153,157,156,177,212,184,183,161,125,102,85,89,114,67,36,28,63,66,157,105,117,124,130,134,140,146,150,153,153,157,158,170,205,187,170,144,124,75,15,90,121,66,38,51,68,96,195,106,119,124,131,136,142,148,152,155,155,158,161,174,198,170,157,170,112,55,37,109,92,36,36,74,68,146,200,108,119,123,129,137,143,147,153,156,156,160,161,172,202,168,175,172,97,26,34,42,15,27,53,77,88,192,192,110,119,125,130,136,142,148,151,154,157,160,162,173,196,171,182,160,114,51,0,3,27,61,74,64,133,199,189,111,119,126,132,137,144,148,150,154,157,159,162,176,191,173,187,161,113,69,8,32,64,81,84,78,180,192,191,112,119,126,132,138,145,149,153,155,157,162,161,179,190,178,186,162,114,82,28,48,78,87,74,120,202,188,193,112,119,126,134,139,144,149,153,155,159,164,162,182,189,182,182,155,116,80,31,57,84,87,65,153,200,192,195,113,119,126,134,140,144,149,153,156,158,163,164,185,192,175,170,150,115,81,49,55,84,80,74,184,194,193,194,113,119,126,135,138,144,150,154,156,160,165,164,183,189,168,162,143,114,85,64,56,80,64,113,201,188,192,193,113,119,128,135,138,143,150,154,157,160,164,165,184,187,169,162,139,117,93,70,60,70,68,176,196,192,193,194,112,119,127,133,140,145,149,155,158,159,165,164,193,186,172,163,141,121,98,72,65,61,131,200,190,195,195,195
5,60,67,75,82,90,97,103,107,108,114,118,121,124,128,131,130,145,119,123,145,143,145,146,146,146,148,148,147,61,68,75,84,91,98,104,107,110,116,117,125,128,130,133,132,167,97,91,151,144,147,147,147,148,149,150,149,62,69,77,85,93,101,106,110,114,115,127,119,127,134,131,151,157,60,109,152,145,148,150,150,151,152,152,152,64,71,79,87,96,101,107,112,114,117,165,88,103,143,129,177,114,48,137,152,147,150,152,152,152,152,153,153,67,73,80,89,97,100,111,115,112,134,156,63,111,141,147,183,82,73,156,150,151,155,155,154,154,155,155,155,66,75,81,87,106,123,92,119,107,162,117,52,133,135,181,146,63,112,161,152,155,155,156,156,156,158,158,157,68,75,82,84,124,140,61,118,115,179,99,71,138,156,173,84,67,148,155,154,153,156,155,161,159,159,159,159,69,75,84,84,129,160,60,114,130,152,75,97,142,179,147,62,93,162,150,158,182,165,113,153,163,161,161,160,70,76,85,89,123,199,81,95,146,130,68,118,150,187,136,74,127,161,166,181,171,184,116,139,169,162,163,163,70,76,86,96,106,207,158,109,135,141,96,114,168,170,111,80,146,167,196,147,131,185,85,149,168,165,166,165,72,77,87,99,95,188,219,184,138,124,102,104,157,135,94,106,169,185,143,78,128,176,65,142,174,167,167,168,74,78,89,99,102,127,205,215,170,113,85,79,98,94,101,145,179,171,116,59,152,170,67,105,181,168,169,169,72,78,91,99,111,108,144,222,175,124,79,65,68,71,97,152,138,123,83,93,176,150,81,75,175,170,172,172,73,80,92,100,110,119,112,211,189,133,100,71,66,66,84,118,117,82,64,154,186,168,96,77,173,173,173,173,73,81,92,102,112,119,113,207,202,146,123,85,62,63,73,95,97,55,122,176,184,175,106,87,178,175,175,175,74,83,93,104,114,119,117,214,211,163,140,97,63,63,69,95,114,121,154,153,183,172,101,92,182,176,177,178,74,82,95,106,113,121,116,209,216,177,144,94,63,58,76,120,151,162,157,126,134,168,95,103,186,176,178,179,74,84,96,106,113,123,116,203,224,179,145,104,69,54,96,150,158,155,147,117,95,113,77,113,188,177,180,181,76,85,98,109,114,124,114,185,223,178,156,119,79,80,111,144,150,142,129,102,79,78,60,131,188,178,182,182,75,87,100,109,116,123,115,167,220,184,159,125,85,84,126,134,136,115,110,89,74,63,109,177,182,182,184,184,76,87,99,108,117,125,116,170,227,187,145,113,86,69,106,112,112,92,89,78,66,121,183,182,184,184,183,185,77,88,100,109,117,128,114,175,222,165,122,92,78,72,88,99,94,78,73,68,139,187,180,182,185,185,185,185,76,89,101,111,118,129,113,184,212,156,118,85,85,88,81,89,78,68,62,139,188,179,183,184,186,186,187,185,77,90,102,111,121,122,141,192,199,168,129,87,95,99,76,75,67,57,133,187,179,184,186,186,187,187,187,186,78,90,102,114,115,145,213,211,178,145,120,96,96,89,67,64,44,112,187,178,183,186,186,187,188,187,187,188,79,89,103,109,129,201,214,215,199,169,107,84,83,78,64,56,54,170,182,180,185,187,188,188,187,189,189,190,78,89,101,108,189,206,208,196,184,180,159,118,79,63,55,41,74,186,177,181,184,186,188,188,190,189,189,190,77,91,94,152,209,197,198,179,175,158,159,150,104,72,65,53,52,151,180,179,182,185,186,187,189,188,188,190
4,158,162,165,169,172,175,177,179,181,184,186,187,188,189,190,191,191,191,190,190,189,189,188,187,187,187,186,186,160,163,166,170,173,176,178,180,183,185,187,188,189,191,192,192,190,188,190,191,191,191,190,189,188,188,187,187,161,164,168,172,174,177,180,182,185,187,188,189,187,186,193,197,180,163,175,193,194,193,191,191,190,190,189,188,162,165,169,173,175,178,181,184,187,189,192,197,184,166,182,207,181,142,143,187,193,194,193,193,192,192,191,189,163,166,171,174,178,180,182,185,188,189,199,216,194,158,158,203,184,139,121,163,177,185,193,194,193,193,192,191,164,168,172,176,179,181,183,188,197,196,191,206,202,165,145,192,184,134,95,124,146,148,180,195,195,194,193,193,165,169,173,177,180,183,185,196,216,210,175,170,201,172,139,178,179,127,85,117,140,121,143,190,196,196,195,194,165,170,173,177,181,184,187,202,216,205,162,147,188,162,125,152,158,114,86,125,145,114,116,184,198,197,196,195,166,170,174,179,181,184,188,201,206,195,157,137,171,149,112,121,135,105,98,147,151,111,110,183,199,197,196,196,168,171,175,180,182,186,188,201,201,185,160,140,158,147,111,100,116,96,115,164,144,99,111,186,200,198,197,197,168,172,177,180,184,187,190,205,211,188,164,141,146,162,134,118,121,107,125,153,129,89,112,189,201,200,199,198,169,173,178,181,184,187,191,210,219,195,157,119,121,152,148,155,147,148,158,169,150,106,120,192,202,202,200,199,170,174,178,182,185,188,193,214,216,183,146,112,97,104,120,153,156,169,183,188,167,120,126,192,203,203,201,200,170,174,179,183,186,188,195,217,207,169,135,108,92,88,97,126,147,162,172,175,157,121,118,184,203,203,202,201,171,175,179,183,187,189,198,221,209,173,138,110,95,94,104,117,129,143,151,155,151,127,108,165,203,203,202,201,172,176,180,184,187,190,201,223,208,171,135,111,100,98,110,128,133,156,167,169,165,139,107,138,198,204,204,203,173,177,181,185,188,191,204,222,205,168,132,111,104,101,116,137,156,190,199,199,189,153,112,111,182,206,206,205,174,178,182,186,190,192,205,220,202,168,138,120,111,109,119,146,183,209,214,208,198,161,116,97,165,206,207,206,173,178,182,185,189,192,204,216,199,171,144,128,117,115,127,170,209,218,214,196,181,149,111,100,168,206,206,206,172,177,181,184,188,191,202,213,198,172,145,126,116,123,149,201,222,218,201,179,156,127,99,121,188,206,206,206,172,176,181,184,188,192,200,214,203,172,143,129,123,137,174,217,222,207,183,158,131,103,98,158,203,206,205,206,173,177,181,185,189,193,198,212,205,179,159,149,133,145,190,218,212,192,165,139,112,91,125,192,207,207,206,206,174,177,182,185,189,193,197,211,208,187,167,157,137,144,196,210,195,171,146,120,95,97,166,206,209,208,207,206,174,178,182,185,189,193,195,213,214,192,171,157,135,145,191,195,173,148,122,99,85,128,196,210,209,208,207,207,174,178,183,186,189,192,198,221,218,194,168,146,125,142,177,172,147,122,100,84,98,171,207,209,208,208,208,207,173,178,182,185,189,191,209,226,214,188,160,132,119,142,156,137,112,96,83,87,145,200,209,209,208,208,207,207,165,169,173,176,179,190,220,225,212,190,160,134,129,141,134,108,92,86,81,121,179,196,197,197,197,197,197,197,138,141,142,142,144,181,222,221,210,189,159,140,136,135,121,98,91,88,84,120,147,150,150,149,150,151,151,152
21,158,161,164,164,165,166,166,167,167,167,167,161,164,167,164,162,160,159,158,158,155,152,151,149,149,147,146,143,159,163,165,166,166,167,168,169,169,168,173,143,113,167,166,164,162,161,160,161,158,156,153,154,151,150,148,145,160,164,167,167,169,169,170,171,171,171,171,152,96,129,176,165,166,165,163,162,160,159,154,139,152,152,149,148,162,164,167,169,171,172,172,174,173,173,173,163,120,84,170,169,167,167,165,164,163,161,152,89,122,160,151,150,164,166,168,171,172,173,174,175,175,175,175,171,138,72,145,177,167,169,168,166,162,164,142,78,115,164,152,152,165,169,171,172,173,174,175,176,175,178,178,176,157,97,113,181,170,171,170,169,165,164,131,73,133,162,155,154,167,170,173,173,174,175,177,177,177,180,179,179,171,116,89,174,174,173,171,170,169,159,112,75,153,160,156,154,169,172,174,175,177,178,180,179,179,181,181,180,181,127,75,158,178,172,172,172,170,154,102,91,167,158,159,157,170,174,176,176,177,180,181,181,181,183,182,181,182,146,84,136,184,173,174,173,163,136,82,116,170,160,161,158,172,175,176,179,179,179,180,182,181,184,184,182,176,164,110,111,186,173,175,173,153,118,63,148,169,161,160,158,172,174,177,179,179,180,181,182,182,185,186,184,180,176,140,96,165,185,178,175,155,101,80,171,164,165,162,160,173,175,177,180,181,182,183,183,184,186,187,186,183,182,175,128,110,154,166,156,138,81,122,177,164,166,164,162,174,176,178,181,183,183,185,186,187,187,187,187,183,130,134,146,105,103,106,115,88,65,156,173,167,167,165,164,175,176,179,182,184,185,185,187,188,188,188,189,179,118,81,124,120,113,119,123,61,82,181,170,169,168,167,165,175,178,180,182,183,185,187,188,188,188,189,190,161,145,100,98,121,102,108,106,64,90,183,170,170,169,168,165,176,179,182,183,184,188,189,189,189,189,190,166,117,141,112,81,103,58,94,128,83,61,171,174,171,170,169,166,177,180,182,185,187,188,190,190,190,190,189,163,110,118,114,59,73,47,78,135,104,54,123,183,169,170,169,167,178,181,184,186,188,189,190,191,191,191,188,168,116,97,96,44,72,74,133,145,132,70,70,179,171,171,169,168,178,182,185,187,188,190,191,191,194,193,183,152,117,87,79,44,76,119,169,149,122,69,66,177,172,172,170,168,179,182,185,188,189,190,192,193,194,193,181,165,145,100,66,54,99,168,156,132,106,52,82,184,172,173,171,169,180,182,185,187,189,191,192,192,193,194,181,170,151,111,89,87,158,175,143,115,102,45,108,187,172,174,172,169,181,183,186,188,190,191,193,194,194,196,179,166,151,120,88,92,163,161,142,116,97,47,131,187,173,173,171,169,180,183,186,188,189,191,192,194,194,196,178,154,144,118,90,92,152,156,133,110,83,46,152,184,175,174,172,170,180,184,188,189,191,192,193,194,195,196,182,151,148,126,103,93,144,149,125,97,63,53,177,179,177,175,173,171,181,183,187,190,191,192,194,195,195,196,193,162,149,131,109,82,124,125,101,80,38,86,191,176,177,175,172,171,180,181,184,187,188,190,192,193,193,193,194,175,159,136,106,85,100,108,87,68,28,135,187,175,175,173,172,170,179,182,184,187,189,191,191,193,194,194,193,180,160,135,108,96,92,101,99,52,60,182,177,176,174,172,171,170,180,182,185,188,190,191,193,193,193,194,191,181,164,139,124,118,102,103,93,39,122,191,176,177,174,173,171,169
20,154,155,156,157,157,157,158,157,158,159,158,157,157,157,156,155,155,153,151,150,149,147,145,144,143,141,139,138,157,158,158,160,160,160,160,160,161,161,161,160,160,159,157,154,157,156,154,153,151,150,147,146,144,142,141,140,162,162,163,163,163,164,164,163,164,164,164,164,164,168,161,124,154,160,157,156,155,153,151,150,148,145,144,143,165,166,168,167,167,167,168,168,168,168,168,168,167,172,168,109,122,144,160,159,157,156,155,153,152,149,147,146,169,170,171,171,171,171,172,171,171,172,172,172,171,175,169,102,88,107,148,164,161,159,158,157,154,152,150,148,173,173,174,175,175,176,176,175,175,175,176,176,175,180,165,92,108,119,125,168,165,163,162,161,158,156,154,152,176,177,177,178,179,179,179,179,179,179,180,180,178,185,166,95,129,136,108,168,169,167,165,164,161,159,158,156,180,181,181,182,182,183,183,183,183,183,184,183,181,193,169,101,135,146,106,166,173,171,169,168,165,163,161,159,184,184,184,185,185,186,186,185,186,187,187,185,185,200,157,96,146,161,109,162,177,174,173,172,169,166,164,163,187,187,187,187,188,189,188,188,189,190,190,187,188,204,148,100,162,162,106,159,180,177,176,174,173,170,167,166,190,190,190,191,192,192,192,192,192,192,191,179,168,185,153,110,168,162,102,155,183,180,178,177,175,173,171,170,193,194,194,194,194,194,195,195,194,194,195,198,186,162,138,108,149,165,115,153,185,182,181,179,178,175,174,172,195,196,196,196,198,198,198,197,197,197,196,184,191,175,151,125,131,158,118,148,187,185,183,182,180,178,176,174,197,198,199,199,200,199,200,200,200,200,199,171,134,162,176,125,93,116,103,139,190,187,186,184,183,180,178,176,200,200,201,200,201,201,201,202,201,202,203,178,92,133,173,135,88,78,80,127,193,189,188,186,185,182,179,178,201,202,202,201,202,202,202,203,203,203,203,176,101,110,159,156,115,95,73,111,193,192,190,188,187,185,182,179,203,203,203,203,203,203,204,204,204,201,195,175,136,101,99,142,139,118,78,93,192,194,192,190,188,186,184,181,204,204,205,205,205,206,206,206,205,200,191,179,162,126,89,112,135,124,87,81,186,197,195,193,190,188,186,183,206,207,207,207,207,207,207,207,201,189,155,143,163,146,102,94,122,148,116,79,166,200,196,194,193,191,187,185,208,208,208,208,208,208,210,209,199,191,158,103,113,142,93,75,103,154,142,90,118,199,198,196,194,192,190,188,209,209,210,210,210,211,211,210,200,186,155,111,79,112,89,75,123,173,166,108,84,187,201,198,195,194,192,189,211,211,211,212,212,212,212,212,200,191,177,134,87,102,109,103,172,190,162,105,84,188,202,200,197,195,193,191,212,213,214,214,214,214,214,214,200,193,189,140,105,110,155,177,201,175,145,85,102,199,202,201,199,196,193,191,214,214,215,216,216,215,215,216,202,190,185,151,116,112,184,209,193,155,127,75,133,205,202,201,200,197,194,193,215,215,215,216,216,216,216,218,203,181,174,153,120,112,178,194,173,139,108,75,164,207,203,202,201,199,195,195,214,214,215,215,215,216,216,218,207,179,171,154,128,118,173,187,160,123,89,82,190,206,203,202,200,199,198,197,215,215,216,216,216,217,217,218,215,186,170,157,139,120,163,177,144,104,70,120,206,205,203,201,200,197,182,143,216,216,217,217,216,217,218,219,218,194,176,159,138,115,138,150,116,81,64,170,209,206,204,201,191,152,100,57
21,171,171,171,172,173,174,174,173,172,173,174,170,169,172,170,169,169,167,167,165,164,163,161,158,158,156,152,150,174,174,174,175,177,177,177,177,176,175,181,165,137,170,174,173,172,171,170,169,167,165,164,162,161,159,155,153,177,178,178,179,180,180,180,181,181,180,182,174,128,146,179,178,176,175,173,173,171,169,168,165,163,162,159,158,180,180,181,182,182,183,183,184,184,184,183,179,145,114,177,181,180,179,177,176,174,172,172,155,134,164,163,161,183,183,184,185,185,185,186,187,187,186,186,185,160,99,161,185,182,182,180,180,178,175,177,147,103,160,167,164,186,186,186,187,188,188,188,189,188,187,189,188,175,115,136,188,185,184,182,182,180,178,182,135,104,166,170,166,188,188,190,189,190,191,191,191,190,190,191,192,189,137,116,184,188,186,185,184,183,184,174,121,117,175,172,169,190,192,193,193,193,193,193,193,193,193,194,195,198,149,104,173,191,188,187,187,185,190,166,108,140,178,173,171,193,194,195,196,196,196,195,196,195,196,197,196,204,165,111,156,194,190,189,188,189,187,152,104,164,180,176,173,196,197,198,199,199,199,199,199,198,199,199,197,201,184,132,140,195,192,192,191,191,172,125,115,180,181,179,175,199,200,200,200,201,201,200,200,201,201,201,200,196,188,149,126,191,195,194,195,192,162,99,145,186,183,181,178,200,201,202,201,202,202,202,201,201,202,203,201,181,161,145,117,183,198,196,200,189,146,106,179,188,184,182,180,201,202,203,203,203,203,203,203,203,203,204,201,195,186,166,130,170,202,198,197,172,119,135,192,189,187,184,182,203,204,205,206,205,205,206,206,206,206,207,196,183,200,193,162,138,170,183,174,145,102,170,195,191,188,186,185,206,207,207,208,208,207,207,207,208,208,208,198,160,144,179,168,148,115,136,142,109,110,193,195,193,190,188,186,207,207,208,208,208,209,208,208,209,209,209,201,157,89,95,163,161,97,82,97,83,127,200,196,193,192,190,188,208,208,208,209,209,209,210,210,210,210,211,204,171,129,97,125,147,97,84,76,70,140,203,198,195,194,192,189,209,210,210,211,212,211,211,211,211,212,206,191,187,173,137,100,133,115,98,99,74,148,204,200,198,196,193,191,211,211,211,213,214,214,214,214,214,213,198,195,191,181,165,140,112,123,111,110,71,128,204,201,199,196,195,192,212,213,213,214,215,215,215,216,216,212,197,184,152,152,172,160,125,92,107,98,67,89,196,202,200,198,196,194,212,213,213,214,214,215,215,215,216,212,199,184,143,93,118,151,118,65,83,114,85,62,147,204,201,199,197,195,212,213,214,215,214,215,215,215,216,212,199,181,148,111,75,106,96,66,75,124,110,66,110,202,199,198,197,194,213,214,215,215,216,215,215,216,217,214,194,183,169,127,87,104,125,85,101,141,121,67,127,204,200,195,170,131,213,214,215,216,217,216,216,217,217,214,191,184,178,127,105,131,191,160,143,141,98,63,165,191,164,118,73,51,215,215,217,218,218,218,218,219,220,217,194,186,168,141,105,135,193,184,151,123,86,63,120,93,68,47,44,46,171,175,179,183,187,190,193,196,199,200,187,176,161,136,98,127,177,166,137,110,81,53,52,48,51,33,40,49,108,108,109,110,112,114,114,115,116,115,143,173,164,131,103,125,172,158,122,91,64,46,44,40,47,26,32,51,109,109,109,109,110,113,113,112,113,110,129,175,162,132,112,113,156,143,105,73,48,40,39,33,40,21,26,49
23,172,175,176,182,188,194,198,202,205,208,210,212,214,217,219,220,221,220,221,221,219,219,219,218,216,216,215,216,173,177,178,184,190,195,200,202,204,209,211,213,216,218,219,221,222,221,221,221,221,221,220,220,220,219,218,217,173,178,179,185,191,196,200,203,207,211,212,215,218,218,220,222,223,222,220,221,223,222,220,221,221,220,220,219,174,178,180,185,192,196,202,205,207,212,214,217,220,222,222,222,222,223,223,225,226,227,228,224,221,220,220,220,175,178,182,187,194,200,204,207,210,214,216,218,220,222,225,225,226,226,225,226,222,202,196,214,225,223,222,221,177,179,182,189,196,202,206,209,213,215,218,219,221,222,225,228,228,226,225,222,213,199,188,178,205,208,226,221,178,180,181,190,196,202,207,210,212,216,220,221,223,225,227,227,229,234,217,226,219,172,202,193,153,123,229,223,177,182,186,192,197,203,207,212,214,219,221,224,227,229,230,229,238,231,180,190,152,92,152,135,118,181,231,224,180,185,187,192,199,204,209,214,217,220,223,226,227,230,229,237,237,225,151,81,140,192,232,214,223,235,228,228,182,186,188,194,200,204,209,213,217,221,224,225,227,230,230,244,231,227,150,120,252,233,236,236,233,229,229,229,182,185,189,195,201,208,211,215,219,221,224,227,228,227,228,235,220,222,197,197,219,186,161,229,233,231,230,230,184,186,190,197,203,209,214,217,220,223,227,228,234,215,210,207,221,228,229,239,222,190,87,186,247,230,231,231,185,187,190,197,204,209,214,218,219,224,227,236,239,210,185,184,193,191,183,201,194,176,88,167,250,230,232,232,186,187,190,199,205,210,215,219,220,226,227,241,231,195,160,149,198,210,198,181,157,163,99,154,253,233,235,233,187,188,191,199,206,212,216,219,225,226,233,248,231,193,165,160,174,197,204,212,190,143,81,141,253,234,236,235,187,188,193,200,208,213,216,222,226,225,244,249,234,213,211,211,187,158,145,160,174,139,58,151,255,234,236,237,188,190,194,202,209,213,219,224,227,230,251,248,234,213,213,198,215,190,160,144,111,95,59,144,237,240,237,237,187,189,195,203,209,213,219,224,225,247,254,254,226,196,190,151,211,213,174,138,99,68,100,152,172,255,237,239,187,190,195,203,209,215,222,218,241,255,253,243,189,136,141,120,125,182,190,125,79,75,108,137,89,179,252,237,190,191,197,203,210,218,216,233,255,255,244,214,185,137,84,95,118,225,210,112,78,74,106,102,65,64,231,244,190,192,196,204,211,214,226,255,255,253,230,201,183,146,76,119,192,217,173,91,71,66,103,92,78,53,193,253,191,193,196,204,211,211,255,255,255,237,212,207,181,129,72,67,108,132,111,65,61,90,101,93,63,97,231,245,191,194,197,205,206,234,255,255,251,228,210,199,162,125,91,56,62,74,82,78,70,105,100,79,126,231,250,242,190,190,202,208,216,255,255,255,239,214,199,181,148,115,80,75,103,111,106,100,83,75,103,183,254,249,243,245,188,191,179,168,255,255,248,240,221,202,184,164,132,102,75,94,118,120,112,90,74,137,238,255,245,245,245,244,187,200,105,54,252,255,236,221,199,181,166,147,118,95,82,105,111,104,72,85,200,255,251,244,247,245,245,245,193,169,70,55,95,198,224,200,187,172,158,136,112,85,80,98,92,65,100,222,255,246,247,248,247,246,245,245,195,103,51,61,55,67,125,153,154,149,135,125,90,57,57,70,73,130,240,255,246,250,250,250,249,247,246,246
22,94,102,106,110,118,124,128,132,135,139,141,142,146,147,146,147,147,147,145,145,145,144,142,141,139,138,137,136,96,104,108,111,119,124,130,133,137,140,141,148,148,148,149,150,147,150,152,148,147,147,145,143,141,140,139,138,98,107,110,115,121,126,133,137,138,159,127,105,154,149,151,150,154,133,125,153,148,148,146,148,148,142,141,139,99,109,112,116,122,129,134,139,137,179,132,67,154,151,153,151,165,118,62,152,151,149,152,130,127,148,143,141,101,109,113,117,124,130,135,141,139,183,144,66,152,154,154,156,160,104,60,158,152,153,156,98,63,150,145,144,102,110,115,119,126,132,137,143,139,181,156,72,147,159,156,158,152,87,84,165,150,158,152,87,73,156,146,146,103,112,115,120,128,135,140,144,140,185,174,82,135,163,156,151,144,71,112,165,157,165,132,56,119,159,148,147,104,113,116,122,129,137,141,146,142,184,170,82,123,168,156,145,127,56,133,162,171,166,104,68,157,152,150,149,105,115,118,123,130,138,143,148,144,182,168,82,105,171,155,156,132,53,148,167,164,135,76,112,163,152,152,151,107,116,120,125,133,140,144,149,148,175,187,115,94,170,153,157,111,65,172,186,162,96,60,155,157,156,154,153,109,117,120,126,134,141,145,150,152,165,188,118,77,167,134,135,64,87,197,184,153,69,97,170,156,157,156,155,110,118,121,127,136,143,148,152,154,157,187,105,40,122,117,134,120,156,183,162,121,51,150,166,160,158,157,155,111,118,122,128,136,143,149,152,165,134,136,93,64,128,141,141,169,169,163,134,61,86,173,160,162,160,157,157,112,119,123,129,136,144,150,156,175,133,111,97,107,109,123,150,155,155,151,95,50,156,167,163,163,162,159,157,114,122,123,131,140,148,148,168,182,147,156,141,131,71,42,116,136,148,119,58,95,181,164,165,165,164,161,160,115,123,125,132,141,148,150,174,196,156,140,144,132,108,72,37,83,96,68,43,123,181,167,166,166,165,162,162,115,123,125,133,142,148,149,187,187,145,81,73,123,135,115,73,33,43,49,37,152,177,171,169,168,167,164,162,115,122,126,134,144,149,152,193,187,145,80,29,72,143,131,107,71,43,32,36,166,175,173,170,170,168,164,164,116,124,127,135,143,150,152,196,209,149,158,59,96,179,147,114,95,69,23,16,155,180,172,171,170,169,166,165,118,123,127,136,143,152,154,197,206,149,139,65,147,198,158,120,101,71,20,9,153,182,172,171,170,169,169,167,118,123,127,135,143,151,152,196,209,151,126,135,191,165,155,115,86,59,13,27,173,177,172,172,172,172,169,167,117,124,126,134,143,151,150,189,201,169,132,161,201,146,133,135,80,52,4,66,188,171,172,171,171,171,170,166,117,124,126,136,144,152,152,181,199,179,134,167,193,147,129,129,93,40,0,105,189,171,173,171,171,172,170,166,118,124,127,136,145,153,154,174,192,182,138,150,180,142,124,115,75,28,3,144,185,175,175,172,172,172,170,168,117,123,127,135,144,151,158,153,191,174,139,120,147,116,95,82,44,7,35,180,175,175,174,170,170,169,168,167,119,126,129,138,147,156,162,31,117,173,98,87,103,102,77,50,30,8,119,197,183,184,182,179,177,178,177,174,94,98,99,103,105,114,87,8,10,87,93,100,106,118,95,52,30,21,110,119,115,114,115,116,115,116,115,115,69,69,68,70,70,62,19,12,13,5,71,102,101,110,93,44,8,0,57,57,55,54,53,53,51,51,40,22
18,146,147,150,152,154,157,159,159,161,162,164,166,165,165,166,166,166,166,167,168,169,169,171,170,170,171,170,170,148,150,152,154,156,159,161,161,165,165,167,168,168,168,168,169,168,168,169,170,172,172,173,173,173,173,173,173,150,152,155,156,159,160,163,166,168,168,169,170,170,170,171,172,171,172,173,173,174,173,174,174,175,175,175,174,152,154,157,159,161,163,166,167,169,171,171,173,173,174,173,173,173,173,174,174,174,176,176,175,176,177,177,177,154,155,158,161,163,165,167,169,171,173,174,174,175,176,177,176,175,176,179,181,179,177,182,180,181,179,179,180,155,156,159,163,165,166,168,172,174,174,175,176,177,178,178,179,178,180,164,160,176,182,159,137,155,182,182,182,158,159,162,165,167,169,171,173,174,175,176,178,180,179,180,179,180,182,149,138,165,186,149,98,107,146,192,180,160,161,164,167,168,170,173,176,177,178,179,180,181,182,179,183,181,170,167,166,184,171,170,124,90,95,183,186,162,164,167,169,171,173,176,179,180,180,182,182,182,183,186,160,164,154,167,170,164,143,189,145,98,66,157,197,163,166,168,171,173,175,178,180,181,182,183,183,178,200,196,143,119,132,149,144,106,150,208,155,115,67,141,200,165,167,170,172,174,177,179,181,183,183,182,193,142,149,186,147,120,110,146,105,73,191,205,165,132,73,139,201,166,169,172,173,176,179,181,183,184,180,199,210,136,98,180,166,148,113,188,127,78,202,211,184,149,81,145,204,167,169,173,175,177,181,183,185,184,195,197,203,158,113,155,186,154,108,158,158,108,176,218,196,150,94,107,204,168,171,174,177,179,182,185,185,191,200,158,200,182,137,123,184,154,123,80,136,193,201,194,171,142,112,75,177,169,172,175,178,180,183,186,184,202,207,158,189,191,150,107,158,165,125,146,191,197,200,170,156,141,125,75,157,171,173,177,180,182,185,187,192,202,182,143,158,171,136,89,124,139,156,212,198,183,178,159,145,140,116,82,180,172,176,179,181,184,186,187,191,210,186,144,140,128,100,73,67,135,213,207,193,175,163,154,129,123,88,112,206,174,178,181,182,185,188,189,190,209,190,165,142,90,84,55,74,206,207,196,185,173,163,134,114,100,72,166,206,177,179,181,184,187,190,190,192,210,197,181,149,110,141,101,169,217,204,197,180,169,152,118,100,83,96,205,200,176,179,183,185,187,191,190,197,211,208,174,142,172,161,152,220,207,205,189,171,160,133,105,94,75,134,212,201,179,181,184,186,188,191,190,203,209,211,165,161,183,146,189,226,214,197,180,167,149,116,92,89,78,185,208,202,180,183,185,187,191,193,191,202,214,207,168,170,180,137,214,216,216,189,168,151,129,100,89,73,128,211,202,204,181,183,185,188,191,193,195,193,205,209,175,182,169,147,224,217,202,178,160,138,109,90,84,82,194,209,204,205,182,184,187,190,192,194,198,194,195,200,184,190,167,179,205,206,185,162,148,126,100,93,69,135,217,203,206,206,182,186,189,191,192,195,199,197,188,197,186,196,180,176,184,187,173,157,137,116,100,85,87,199,209,208,207,206,184,187,190,192,194,196,198,199,187,202,196,188,175,156,172,185,175,148,125,109,96,71,154,216,206,208,208,209,184,188,189,192,195,197,199,201,186,192,174,164,158,149,172,177,170,142,112,101,79,97,206,207,209,210,210,211,184,187,190,193,196,198,200,202,193,181,158,164,161,178,181,178,162,137,111,98,70,144,216,208,210,210,211,211
1,136,137,138,138,138,140,141,140,142,142,142,140,130,138,141,140,139,139,138,138,137,137,137,135,134,133,133,132,138,140,139,140,142,143,142,143,143,146,148,144,110,101,147,142,144,142,142,142,141,140,139,139,138,138,136,134,141,142,143,143,144,145,145,146,146,137,133,152,124,65,88,104,146,147,144,145,144,143,143,141,140,140,139,138,143,144,145,145,146,147,148,148,150,131,80,140,136,58,72,86,108,156,144,146,145,145,144,144,142,140,141,140,144,146,147,147,148,149,150,150,150,144,81,118,140,64,79,105,68,153,149,149,148,147,146,145,145,144,143,143,146,148,149,150,151,151,151,153,151,153,92,93,145,83,88,116,61,138,155,150,150,149,150,149,147,146,145,146,148,150,150,151,152,153,153,145,143,158,106,78,131,83,95,131,71,120,160,151,152,151,151,151,150,149,148,146,150,151,151,152,153,154,157,129,95,158,119,64,118,85,86,130,77,111,164,153,155,153,152,152,152,151,150,147,151,152,153,154,154,156,158,141,78,142,122,59,124,105,63,132,91,102,165,154,155,154,154,154,153,153,152,151,152,154,155,156,157,156,159,144,80,129,140,69,106,114,61,129,116,95,166,155,156,156,155,156,156,155,153,153,153,156,156,157,157,157,161,148,83,120,148,73,72,102,93,126,95,84,159,160,159,158,157,157,157,157,156,156,155,158,158,158,159,159,160,151,95,90,142,74,75,95,97,114,78,75,77,106,167,158,158,157,157,156,156,156,157,158,160,160,161,162,159,158,107,70,126,94,98,90,99,109,102,83,57,62,150,163,159,159,158,157,157,157,157,159,160,161,162,163,160,155,119,101,112,92,100,90,115,134,101,64,95,86,105,171,159,161,160,158,158,157,159,161,161,163,163,163,164,160,135,109,102,87,97,99,118,127,106,105,147,122,83,156,163,161,161,161,159,159,159,161,164,163,164,164,165,165,140,106,90,85,94,102,125,132,134,128,116,131,79,115,172,160,161,161,160,161,161,162,163,163,165,165,164,167,149,111,80,86,97,106,137,139,156,154,126,102,63,67,168,163,162,162,161,161,161,163,165,165,166,168,164,166,166,127,87,88,99,121,136,143,151,146,124,99,59,54,161,166,164,162,162,162,162,163,165,167,165,168,167,164,173,148,107,85,101,128,141,154,157,143,123,105,55,77,171,164,166,164,163,163,163,164,166,168,168,169,170,160,175,166,132,96,97,120,148,163,158,146,136,103,49,109,178,165,167,166,166,164,163,164,167,168,170,170,172,161,171,173,147,111,103,117,148,167,161,155,134,91,48,140,175,166,167,167,166,164,164,167,167,169,169,169,171,165,161,169,159,122,112,117,144,159,168,155,119,75,59,165,170,168,169,168,168,165,165,168,168,169,170,169,171,171,149,159,160,132,112,111,136,154,154,132,97,55,84,180,169,169,169,169,168,167,164,166,167,168,169,169,170,173,154,144,149,133,119,113,120,133,125,96,67,46,139,177,169,169,169,169,169,168,164,167,167,168,169,169,170,171,169,139,140,135,123,120,102,104,108,82,45,96,178,170,171,169,169,168,168,165,165,167,167,168,169,170,171,171,174,151,146,133,118,115,93,92,97,67,47,155,175,170,170,169,169,168,167,166,165,167,168,168,169,170,171,171,173,154,147,124,111,113,100,93,81,50,74,176,170,171,170,170,169,169,169,166,165,167,169,169,169,170,169,171,176,152,154,145,129,128,110,99,74,43,93,181,171,172,173,171,170,169,169,167
7,178,179,179,179,179,179,178,178,178,179,179,179,179,179,178,177,177,177,168,89,73,95,108,110,129,149,161,179,180,181,182,182,182,181,181,181,182,181,182,181,180,180,180,180,179,182,149,80,88,109,104,106,127,146,164,180,184,184,184,184,185,185,185,185,186,185,185,185,184,184,182,182,180,186,128,77,94,101,105,101,123,151,170,182,186,186,187,186,186,186,186,186,188,187,186,183,182,184,181,180,177,181,156,130,144,103,98,115,130,161,176,177,189,189,190,189,189,189,188,189,190,189,191,182,169,182,188,181,169,171,162,179,209,134,92,115,139,172,177,170,192,191,192,192,194,193,190,192,199,203,199,187,176,183,183,180,171,166,162,157,187,139,107,127,155,181,178,169,194,195,194,193,193,194,201,208,211,208,201,188,188,184,157,164,181,174,174,165,163,149,148,181,169,183,185,173,198,197,198,197,192,199,206,206,203,198,196,197,191,181,163,169,185,175,173,168,149,144,133,159,154,181,190,186,199,197,214,211,201,200,202,199,200,200,198,198,191,174,170,163,152,140,135,133,123,119,125,126,132,179,189,193,199,203,223,212,196,193,199,202,201,198,193,185,175,160,149,139,137,140,151,150,131,183,178,159,134,179,186,194,202,208,221,209,184,181,190,192,191,177,157,143,125,121,149,188,197,196,206,183,154,216,160,186,143,173,184,189,203,211,216,200,178,182,183,168,151,132,139,164,136,137,144,127,193,203,200,194,181,147,140,207,145,160,183,180,204,214,214,199,200,196,183,173,166,173,176,173,167,163,172,115,139,212,198,201,199,152,188,212,150,139,180,175,208,216,216,218,224,204,174,177,182,180,174,164,161,160,155,114,135,213,201,202,199,194,182,198,174,133,172,177,210,217,218,225,223,199,167,168,166,159,159,155,150,144,128,121,200,207,204,204,201,200,208,198,186,172,175,179,212,217,220,222,209,189,177,168,148,130,136,148,145,142,130,138,212,206,205,205,205,203,183,152,157,180,177,179,217,221,220,214,200,193,194,197,170,148,159,172,166,151,148,137,179,215,207,206,206,211,181,148,167,175,175,180,221,224,217,208,200,192,203,203,169,148,155,158,150,139,139,120,178,216,207,208,208,210,204,171,185,169,174,179,220,221,216,208,200,201,214,196,165,148,149,147,144,138,123,135,209,211,211,210,208,207,208,186,179,172,166,176,218,220,215,205,204,209,204,182,156,141,132,127,119,107,122,196,217,211,211,210,209,209,210,194,181,178,164,168,216,216,209,203,205,196,182,166,153,145,125,106,117,152,199,219,213,213,211,211,210,210,212,200,182,187,170,155,210,210,205,202,202,189,176,169,159,144,150,191,207,222,219,216,214,214,213,214,212,211,213,202,180,190,185,165,207,205,204,199,197,189,181,171,142,124,207,227,218,217,215,215,216,215,214,215,213,211,212,201,178,188,187,177,205,198,199,199,186,179,171,147,112,172,228,218,219,219,218,217,217,215,215,215,214,213,213,201,179,185,184,180,202,193,188,183,173,163,147,118,139,223,221,221,221,222,220,220,217,216,216,217,215,214,216,202,181,185,182,175,195,187,181,167,153,138,116,122,209,224,221,222,221,221,220,219,219,218,217,217,215,214,216,198,182,185,181,175,179,172,164,148,129,114,127,201,227,221,223,223,223,222,221,221,220,219,217,217,217,216,213,190,185,185,181,173,166,156,150,139,120,148,210,227,222,223,223,223,223,223,222,222,221,220,219,219,217,219,203,184,188,188,184,176
5,125,129,133,136,139,141,144,145,147,150,151,152,153,156,158,159,160,162,164,165,165,166,167,167,167,168,169,168,126,130,133,137,140,143,144,146,148,151,152,153,153,157,159,160,161,163,165,165,166,167,167,167,168,169,169,169,127,130,134,138,141,144,145,147,149,152,154,152,140,152,159,161,163,165,166,165,158,163,168,169,169,169,169,169,128,131,135,138,142,145,147,147,150,153,156,155,126,142,160,162,164,166,167,165,140,149,168,169,170,170,170,170,129,133,136,139,143,148,153,137,143,154,158,160,125,139,161,163,165,166,168,160,126,144,169,170,171,172,172,171,130,133,137,141,145,148,162,140,131,153,161,166,131,141,162,164,166,169,168,141,121,156,171,173,173,173,173,172,131,134,138,142,146,148,161,153,128,150,163,166,133,141,163,165,168,171,159,123,134,168,173,175,175,174,174,173,132,136,140,144,148,149,161,171,140,146,163,157,125,138,164,166,167,163,139,125,157,173,174,176,176,175,175,175,133,137,141,145,149,150,160,182,155,139,160,151,125,138,164,163,158,137,119,143,171,175,175,176,177,177,176,176,134,138,142,146,149,151,157,181,171,142,154,147,130,135,159,157,144,114,127,165,176,176,177,178,179,178,178,178,135,139,143,147,150,152,155,172,185,164,147,136,128,124,142,147,133,118,154,174,177,177,178,178,179,179,179,179,135,139,144,147,150,152,154,163,186,186,156,126,117,109,118,130,121,133,170,177,178,179,179,179,180,180,180,179,135,140,144,148,150,152,154,159,177,194,174,135,109,100,103,107,112,152,175,177,177,176,177,179,179,180,180,179,136,140,144,148,151,152,155,158,168,193,182,144,108,93,93,95,111,158,171,169,167,168,172,174,172,172,172,168,137,141,146,149,152,153,156,159,165,190,185,146,108,89,87,91,107,138,155,156,151,158,168,167,165,165,155,136,138,142,146,149,153,155,157,160,168,195,185,147,111,88,84,89,103,119,133,134,125,132,144,143,146,152,140,118,138,142,146,150,153,155,158,160,175,201,179,143,110,88,84,89,99,105,111,118,129,149,156,155,154,151,134,129,137,142,147,151,153,155,158,162,186,202,172,138,107,88,84,87,91,105,130,152,169,178,175,166,157,137,139,162,138,142,147,151,154,156,159,166,196,198,165,132,103,87,85,88,92,126,163,177,178,172,162,157,143,129,165,182,138,142,147,151,154,156,160,176,204,193,159,125,101,85,85,94,106,128,143,156,160,159,159,150,129,141,179,184,139,143,148,151,154,156,161,187,206,185,151,123,102,85,89,104,121,132,133,135,148,153,149,139,140,167,184,185,139,143,148,152,154,156,166,198,203,177,146,126,105,87,98,122,137,142,137,132,139,137,140,156,175,185,186,186,140,144,149,152,154,157,177,205,199,172,145,128,107,89,107,134,142,144,136,121,123,141,167,182,186,186,186,185,140,144,149,152,154,162,192,205,193,168,142,124,105,92,114,138,138,138,127,120,144,173,184,186,186,186,186,185,140,144,149,152,155,175,202,199,186,162,132,115,99,93,118,134,131,129,131,155,177,185,186,186,187,187,187,186,140,144,149,153,161,189,199,189,177,152,120,106,95,97,114,123,126,132,160,180,185,186,187,187,187,187,187,186,141,145,149,155,175,194,191,182,174,147,111,100,96,98,105,118,137,161,181,185,186,187,187,187,187,187,187,187,141,145,149,159,189,193,185,178,174,143,104,100,100,95,102,133,166,181,185,186,186,186,187,188,188,188,187,187
2,179,179,179,178,179,179,179,178,177,176,176,176,176,174,173,172,171,170,171,170,169,168,167,168,166,164,162,161,180,180,180,180,180,180,180,180,180,179,178,178,178,177,176,174,173,172,172,172,171,170,168,168,166,165,163,163,181,181,182,182,181,181,181,181,181,181,180,180,180,179,177,171,169,171,171,173,173,173,171,168,168,166,165,165,182,183,184,184,183,183,183,182,183,183,181,182,181,184,183,170,161,161,156,152,155,162,171,171,170,168,167,167,184,185,185,185,185,185,186,185,185,184,182,182,192,196,185,176,170,161,153,138,127,111,127,171,172,170,169,167,185,186,185,185,186,186,186,185,185,184,184,193,202,198,189,185,184,166,154,151,126,117,95,138,166,171,170,168,187,187,187,186,187,187,187,187,186,184,190,200,200,196,141,122,138,113,107,146,145,132,110,99,109,154,171,169,189,189,189,189,188,188,189,189,188,187,198,199,182,157,104,67,70,68,76,104,123,108,82,76,79,148,174,170,191,191,190,191,191,191,190,189,193,202,208,165,117,93,73,60,60,75,152,153,158,138,105,93,121,171,174,172,192,193,193,192,192,193,191,195,209,215,197,148,103,74,56,53,64,120,183,183,183,181,175,169,174,175,174,174,193,194,195,194,194,193,193,206,216,208,175,135,104,82,66,61,111,174,184,184,183,181,181,181,179,177,175,175,195,195,196,195,194,191,204,216,209,180,136,104,88,74,66,114,182,186,186,186,183,182,181,182,181,178,176,174,197,197,197,196,193,204,222,215,197,174,126,77,67,68,74,162,190,187,187,186,185,184,182,182,181,178,177,175,198,198,198,194,205,225,222,203,184,171,124,84,66,62,111,188,190,189,189,188,187,186,185,182,182,181,179,176,200,200,196,206,227,226,209,194,188,151,109,81,60,58,162,195,192,189,190,190,188,187,186,184,183,182,179,178,202,200,202,227,230,219,202,198,175,134,103,69,58,58,144,197,193,191,192,191,190,189,188,183,174,174,181,179,202,201,223,233,228,212,198,186,158,124,91,55,56,59,82,172,195,193,193,192,191,188,170,151,144,129,158,182,201,217,234,229,219,204,190,177,148,107,74,54,60,61,63,113,195,194,195,193,187,153,132,144,142,109,142,182,213,235,230,221,208,197,182,165,131,91,67,66,73,75,71,79,162,195,179,148,119,119,136,138,109,133,177,181,229,236,225,213,198,183,169,150,113,85,70,80,88,89,84,75,88,126,105,102,96,114,128,101,116,182,185,184,142,201,216,203,190,174,161,137,108,84,77,90,94,93,86,80,75,86,89,104,111,109,98,73,164,188,187,186,70,96,153,171,167,160,145,130,101,77,79,94,92,91,87,82,80,91,97,102,103,89,72,106,186,189,187,186,67,64,71,108,126,118,110,92,73,69,74,87,87,85,81,79,82,88,92,89,85,102,141,180,192,190,189,188,61,63,60,62,71,72,65,55,57,62,63,75,78,76,70,71,68,71,89,124,160,187,196,195,194,193,190,189,60,59,58,61,58,40,41,46,44,46,52,60,59,60,80,98,109,141,180,197,201,200,197,195,194,192,191,189,59,55,55,54,60,41,20,28,28,29,44,66,92,136,181,198,201,203,203,202,201,199,198,197,195,193,192,190,57,54,53,51,60,52,15,18,22,19,63,162,202,209,209,208,206,205,204,203,202,202,200,198,196,195,193,191,53,50,48,47,54,54,16,14,17,16,19,69,187,211,208,209,208,207,206,205,204,202,202,200,197,196,194,192
22,110,114,117,119,120,122,125,127,128,128,129,130,131,131,129,131,133,131,131,130,129,130,129,128,127,126,125,125,114,117,119,121,122,124,126,128,130,128,133,133,133,132,138,127,119,134,132,132,132,131,132,130,128,127,127,126,116,119,121,123,125,126,128,130,131,142,112,128,137,131,156,122,79,139,133,133,134,135,132,132,131,130,129,128,116,120,123,125,128,129,130,131,136,160,83,115,143,134,159,118,84,140,135,137,119,122,136,132,132,132,131,132,118,122,125,128,130,132,133,133,139,154,87,109,145,137,152,111,90,143,136,142,101,90,143,133,135,133,133,133,120,123,127,129,131,133,134,135,137,157,100,100,148,139,146,114,97,145,140,149,96,94,145,136,137,135,135,134,121,124,128,131,133,134,136,139,137,160,117,95,147,141,151,121,99,146,145,151,91,107,146,138,138,136,137,137,124,127,130,133,135,136,138,141,138,162,135,92,143,145,145,117,98,147,154,150,85,124,145,139,140,139,138,138,126,129,133,135,136,138,139,142,140,161,138,83,133,148,143,113,98,150,160,144,83,137,146,142,142,141,140,139,126,130,133,135,137,140,141,144,140,164,160,91,118,151,154,110,100,157,160,122,83,147,145,144,144,143,141,141,127,131,134,137,139,141,143,146,142,156,160,96,113,156,155,101,108,168,167,99,95,155,144,145,145,144,143,142,129,133,136,139,140,142,145,146,161,152,141,113,108,135,150,95,127,173,154,81,123,155,147,148,146,145,145,143,130,133,136,139,142,144,145,151,182,144,154,166,148,107,106,149,150,157,128,77,144,152,150,148,148,147,147,146,131,134,138,141,144,146,146,155,175,136,100,171,168,125,69,118,132,137,99,88,156,150,151,150,149,149,148,147,132,137,140,143,146,148,147,160,163,153,82,88,159,149,106,64,90,102,71,109,160,151,152,151,150,150,149,148,135,139,141,144,147,150,147,170,168,135,100,51,100,168,141,90,62,69,60,133,159,152,152,151,151,150,150,150,136,140,143,145,148,151,149,175,156,119,93,95,93,155,169,123,88,65,60,143,159,154,153,153,153,151,150,150,136,141,144,146,150,151,150,180,167,127,112,120,124,179,165,134,110,66,61,154,158,156,155,155,154,152,151,151,137,143,146,148,151,153,153,182,161,124,115,134,161,190,153,124,101,57,67,162,158,157,157,156,155,154,153,152,138,143,147,149,152,155,155,182,166,138,132,133,178,179,147,108,90,54,93,168,157,159,158,157,157,155,154,152,140,144,149,151,153,156,156,180,171,147,139,133,186,166,134,100,82,52,118,170,159,160,159,158,158,157,155,154,141,145,148,152,155,157,156,176,168,153,147,139,177,151,123,94,75,50,128,170,160,161,161,160,158,157,157,156,142,146,149,152,155,158,157,171,173,159,156,140,169,138,115,90,68,51,139,169,161,162,163,161,160,159,158,157,142,146,150,153,155,159,159,164,172,162,159,140,168,131,108,81,65,59,151,167,162,163,163,162,162,161,159,159,143,148,151,154,157,159,160,163,172,158,146,126,151,123,108,87,60,77,168,165,165,165,164,163,162,161,160,159,144,148,152,156,158,160,162,163,174,150,127,126,151,112,117,92,50,117,175,165,167,166,165,164,162,162,162,160,145,149,153,156,159,161,162,164,185,165,147,145,152,108,123,73,58,161,170,168,167,166,166,166,164,163,163,161,144,148,152,156,159,161,161,164,187,174,162,157,144,107,113,57,88,174,168,168,167,167,167,166,166,164,163,161
20,176,179,182,185,188,189,191,192,193,195,197,198,198,197,197,200,197,198,197,198,197,197,195,193,192,191,191,189,178,182,185,187,190,193,193,195,196,197,198,200,197,213,201,185,200,200,199,198,199,198,197,197,196,194,193,192,181,184,187,189,192,194,196,198,198,199,200,202,196,233,205,145,200,181,202,200,200,200,200,199,198,196,193,193,184,187,190,191,194,197,198,200,201,202,203,206,199,237,204,152,220,145,195,206,202,203,203,200,200,199,197,195,185,190,192,193,196,199,200,201,203,204,206,208,201,237,206,163,237,150,179,213,206,206,205,204,203,200,199,198,187,192,193,195,199,201,202,204,206,207,207,209,203,245,224,165,241,170,171,215,207,209,207,206,204,204,201,200,189,192,195,197,201,204,205,206,208,209,211,212,206,249,214,172,249,185,168,217,210,212,210,208,207,206,204,202,190,193,196,199,203,205,206,209,209,209,209,211,213,249,201,185,249,182,163,219,213,214,212,211,209,208,207,205,192,196,199,201,205,207,208,210,212,210,227,224,210,253,206,187,253,174,162,223,214,214,214,213,210,209,209,207,194,198,200,203,206,209,211,212,209,215,255,255,206,171,186,187,248,174,170,225,215,217,216,214,213,212,211,209,197,200,202,206,207,209,213,211,231,243,224,229,210,144,121,160,220,165,176,228,218,218,217,217,214,214,213,212,197,201,205,207,210,212,212,222,255,255,210,179,214,190,178,145,169,153,177,229,220,220,219,218,217,216,214,213,199,202,205,209,212,215,213,233,235,189,238,204,182,232,226,165,129,131,177,229,221,222,220,219,219,218,216,215,200,204,207,211,213,215,213,235,235,141,140,143,115,201,228,179,132,119,175,231,222,224,222,221,221,220,218,218,202,205,208,212,214,217,215,239,219,183,163,125,121,135,240,218,158,112,175,234,224,226,224,222,223,222,220,218,203,207,211,213,215,219,215,244,252,212,166,141,149,133,228,249,188,115,164,237,226,228,226,224,224,223,222,220,204,208,211,215,218,221,217,249,250,190,153,145,162,166,232,255,212,137,154,237,226,229,227,226,226,225,224,222,206,211,213,216,219,222,218,249,248,196,168,164,174,193,255,255,220,154,153,238,228,230,228,227,228,227,225,224,207,212,215,218,221,224,221,251,255,212,182,179,189,232,255,253,209,160,148,237,229,230,231,229,229,228,226,226,209,213,216,219,221,226,223,250,255,227,189,190,207,255,255,250,202,159,150,237,231,232,231,231,232,230,227,226,210,212,215,219,222,226,222,245,255,237,202,194,220,255,255,239,200,155,143,238,235,233,232,233,233,232,229,227,210,212,215,219,222,226,222,242,255,238,215,208,223,255,252,222,195,148,137,235,234,233,231,231,231,231,229,227,210,213,218,221,224,226,225,234,255,246,229,229,220,255,242,214,191,143,133,236,236,235,233,231,231,230,227,230,210,214,219,222,225,226,229,229,255,254,236,239,215,232,223,198,181,134,137,242,236,236,236,235,231,231,236,221,212,215,219,221,225,228,230,227,249,255,242,227,201,203,204,182,184,122,156,250,236,239,237,233,240,236,209,144,213,217,219,221,225,227,237,241,251,255,236,205,172,176,194,179,175,108,190,250,238,240,238,244,215,155,118,104,214,219,222,227,229,235,203,124,192,255,208,183,158,172,202,171,149,114,242,244,241,242,246,203,130,115,109,100,180,185,191,194,198,207,137,25,131,255,218,186,158,185,207,147,128,75,156,237,230,237,199,122,112,107,98,96
12,153,157,161,162,166,168,170,171,172,174,174,175,178,180,179,179,179,179,179,179,179,179,177,176,175,175,175,173,155,158,161,163,167,169,171,173,173,174,175,177,179,180,180,180,181,180,180,180,179,178,178,178,177,176,176,174,156,159,163,165,167,169,171,173,175,177,178,179,179,179,180,180,181,181,180,180,180,180,180,179,179,177,177,177,156,159,163,166,168,171,172,175,177,178,179,182,179,176,198,179,158,168,182,182,182,180,181,180,180,179,179,177,158,161,165,168,169,171,174,177,178,178,194,215,196,161,193,197,154,125,179,183,181,181,181,181,181,179,179,178,159,162,165,168,170,173,177,179,180,179,220,236,214,175,141,189,168,120,164,194,165,162,181,182,181,180,179,179,159,162,166,169,171,174,177,179,180,178,219,223,222,193,170,137,164,145,139,199,157,123,159,182,182,181,181,180,160,164,167,170,173,175,177,179,180,179,210,188,181,201,166,114,148,148,107,149,152,111,119,183,184,182,181,181,160,164,168,171,173,176,178,178,191,207,171,151,165,181,167,145,161,130,88,111,131,105,104,182,185,182,181,182,161,165,169,172,174,177,177,192,233,208,153,115,136,184,189,186,172,147,119,156,122,100,104,182,185,183,182,184,162,166,170,172,175,177,177,226,224,198,159,113,87,157,173,176,184,195,179,168,117,94,115,187,187,185,185,185,162,166,170,173,176,177,197,222,210,207,168,119,65,97,121,156,185,213,203,166,112,82,141,187,187,186,186,185,164,167,171,174,177,177,221,214,200,211,178,132,73,75,77,110,177,203,208,181,149,104,166,188,187,186,186,186,163,167,171,174,175,199,221,202,183,215,199,153,83,79,91,138,199,198,186,162,160,130,139,189,187,187,187,186,162,166,171,173,174,224,226,199,163,179,206,166,101,85,154,204,205,190,179,147,140,128,122,188,188,187,188,187,163,167,170,171,173,233,229,199,159,140,181,195,142,154,218,206,197,184,170,142,122,113,135,188,189,187,187,187,164,168,172,174,179,240,232,203,183,177,149,156,164,224,231,209,192,182,158,138,111,103,159,189,190,188,187,187,164,168,172,174,181,240,231,211,206,194,170,170,215,235,232,211,180,167,146,134,109,105,179,191,191,190,188,187,164,168,172,174,180,236,233,223,214,198,182,175,222,234,221,201,170,152,140,126,106,123,189,191,191,190,188,188,163,168,170,175,177,231,237,228,213,196,184,178,217,225,208,185,157,145,141,116,101,159,192,192,192,191,189,187,162,166,170,174,174,215,232,222,209,199,188,185,207,212,192,168,151,146,137,109,119,186,193,191,191,190,188,187,161,165,169,173,174,198,225,211,201,196,188,184,199,205,183,160,146,140,124,104,161,189,190,189,188,187,187,186,139,140,142,143,144,171,220,197,193,192,182,171,188,202,179,151,135,127,112,105,138,141,140,139,139,139,138,139,103,102,101,102,102,136,219,193,192,194,181,169,179,196,164,131,119,115,104,95,95,95,94,93,93,92,92,93,108,107,106,107,108,136,225,199,203,199,182,169,171,190,151,122,112,106,102,101,99,99,98,97,97,95,95,95,108,107,108,109,109,136,230,211,215,207,186,171,162,184,149,122,105,100,102,102,102,99,98,97,98,96,96,95,109,108,108,110,109,130,227,219,223,207,186,166,155,178,150,121,103,98,101,102,101,100,99,99,98,99,97,96,108,109,109,109,109,121,222,219,219,197,179,166,151,168,145,115,101,98,101,101,101,99,99,99,100,97,96,103
1,91,97,82,67,66,59,66,26,54,82,96,109,141,117,100,129,131,138,141,144,147,150,152,154,155,157,159,160,94,99,81,70,65,63,65,27,59,84,103,113,142,126,92,128,109,128,143,145,148,151,153,156,157,159,160,161,96,101,79,72,64,68,60,28,64,86,129,122,124,139,102,137,107,105,144,147,150,152,155,157,158,159,160,162,99,101,77,75,65,73,54,31,68,89,141,128,114,143,108,140,124,95,142,149,151,153,156,158,159,161,162,163,102,100,77,77,64,77,47,36,72,91,144,134,114,158,127,132,135,95,135,151,152,155,157,159,161,163,165,165,105,99,79,80,66,81,40,42,77,94,144,140,117,165,135,130,153,107,124,153,155,157,159,161,163,166,166,167,108,98,82,83,68,84,36,47,103,112,142,155,121,159,137,132,164,120,111,154,157,159,161,164,166,168,168,169,111,97,85,83,71,84,32,54,133,119,136,157,120,151,139,126,162,129,104,153,158,160,163,166,168,169,169,170,113,96,87,83,74,82,30,61,139,118,132,156,118,150,149,122,161,136,103,152,160,162,165,168,169,171,172,172,113,94,90,82,79,80,29,66,144,121,128,162,118,145,157,120,163,143,105,149,161,164,167,169,171,172,173,173,114,94,93,81,85,73,31,69,150,136,125,166,125,126,156,115,154,145,102,144,165,166,168,170,172,174,174,174,111,95,96,80,90,65,34,71,147,138,114,164,128,107,146,110,142,149,102,136,166,166,169,172,174,175,175,175,110,96,97,78,95,58,37,73,139,142,107,152,136,127,141,138,151,131,95,122,167,168,170,173,175,177,176,176,109,96,98,77,98,50,42,75,137,153,109,140,151,135,127,149,148,105,82,106,167,170,172,174,175,177,178,179,107,99,98,77,100,43,47,77,137,150,126,146,149,146,143,169,159,111,76,89,161,171,173,175,176,177,180,180,106,101,98,77,100,37,51,80,140,155,153,140,139,142,150,162,157,132,91,76,151,172,174,176,177,178,179,181,105,102,97,81,99,32,55,82,152,168,148,129,127,132,138,140,156,154,118,79,136,174,174,176,177,178,180,181,103,106,97,87,96,29,57,85,158,165,137,119,125,135,149,162,168,171,146,97,116,173,175,177,178,179,180,181,103,109,95,92,91,28,61,85,149,163,132,116,130,137,157,181,175,174,156,114,102,170,175,177,178,180,180,181,105,110,92,96,84,28,64,84,133,165,140,122,126,142,161,184,182,167,147,110,100,169,175,178,179,180,181,182,106,110,89,101,77,29,67,86,115,162,146,128,124,146,163,186,183,163,138,100,104,172,175,177,180,181,182,182,107,113,88,106,70,30,68,87,103,153,157,137,124,141,161,182,179,158,133,96,106,173,175,177,179,181,182,182,110,115,87,112,63,33,70,86,99,139,161,146,133,133,156,177,170,151,130,93,107,173,176,178,180,181,182,182,114,118,87,118,57,36,71,86,97,119,154,152,144,134,149,169,162,143,123,90,112,173,176,179,180,181,181,182,117,119,89,120,50,38,70,84,95,108,136,154,150,142,140,152,155,136,118,88,125,173,174,176,177,178,180,180,121,117,90,121,43,40,68,82,93,104,118,150,152,144,131,134,142,125,111,90,144,172,173,174,175,177,178,179,122,114,94,120,36,42,67,79,90,103,110,143,151,139,126,125,126,119,109,91,153,168,170,173,175,177,178,178,124,112,96,116,34,45,65,73,84,97,105,135,146,131,127,130,126,118,103,88,154,166,168,171,173,175,176,175
22,145,149,152,155,158,161,164,168,170,173,177,176,176,178,179,181,182,182,180,181,181,182,183,183,183,182,183,182,149,153,155,159,161,165,169,171,173,176,179,179,184,183,183,184,184,188,185,185,186,185,187,187,186,186,186,186,151,157,158,162,164,167,171,174,177,179,182,183,150,182,187,188,184,151,188,186,183,190,190,191,190,190,190,188,153,158,161,164,167,170,173,178,180,181,187,178,108,171,195,194,194,105,178,199,154,152,200,192,192,192,193,192,155,160,163,166,170,173,176,180,184,183,196,171,95,175,194,204,191,111,182,209,155,118,204,194,195,195,195,195,158,162,166,169,172,176,179,183,185,185,201,168,90,178,195,211,188,119,190,208,153,116,202,197,198,199,198,199,161,165,168,172,174,178,182,184,189,187,203,179,95,178,200,211,175,123,195,212,161,122,203,201,200,200,201,201,162,167,170,174,177,181,184,188,193,189,205,192,97,170,205,210,160,120,199,210,159,128,208,203,203,202,203,201,165,170,172,176,180,183,187,191,195,192,211,194,95,168,210,198,145,123,202,210,157,129,212,205,206,206,206,205,166,171,174,178,182,184,188,192,197,195,212,206,107,160,221,178,138,122,208,212,158,135,215,206,206,206,207,207,167,172,176,179,182,186,190,193,198,198,208,216,155,138,145,163,150,125,214,217,150,143,219,206,209,209,209,209,169,174,177,181,185,188,192,195,198,200,206,206,180,152,129,134,146,140,219,211,140,155,222,208,211,212,212,211,171,175,179,183,185,190,193,198,201,200,214,233,198,191,191,171,117,149,217,203,132,170,222,211,212,212,213,213,172,177,181,184,187,191,194,199,202,206,209,195,200,153,206,188,128,104,177,172,119,187,220,213,213,214,215,215,174,179,183,186,191,193,197,201,203,209,202,173,186,95,133,197,162,104,105,129,103,198,219,214,214,215,215,215,175,180,184,188,192,193,197,202,204,213,216,172,173,127,59,162,199,146,96,93,105,213,219,216,216,217,217,217,176,181,185,188,192,197,200,203,204,220,209,160,153,136,81,108,219,182,127,87,107,221,219,218,219,220,218,219,177,182,185,189,192,196,201,205,204,226,217,169,127,110,98,170,225,192,149,110,109,222,219,220,220,221,220,220,178,183,186,189,194,197,199,204,206,232,212,162,129,134,139,231,219,175,146,114,108,227,221,220,222,221,221,221,179,184,188,190,194,199,202,206,209,226,205,164,156,138,179,230,202,164,127,96,126,230,220,222,222,223,223,222,180,185,189,193,196,200,204,207,208,223,202,161,160,134,199,228,185,151,122,88,152,235,221,224,224,227,226,226,180,184,189,193,196,200,204,207,208,217,200,161,170,144,212,227,173,139,114,88,160,236,224,227,228,228,228,227,180,185,190,192,195,200,204,207,209,210,200,168,184,148,204,212,167,134,109,83,174,237,224,227,228,228,228,228,180,185,189,193,196,199,204,207,211,207,200,174,186,150,194,192,154,127,104,84,192,233,225,227,227,227,229,228,182,186,190,194,197,200,204,208,211,211,205,179,175,142,176,173,138,126,101,94,209,228,226,227,227,228,228,227,182,186,190,195,198,201,205,209,210,210,206,173,148,130,168,151,134,129,96,131,229,225,226,227,228,228,228,228,181,186,190,194,198,202,205,209,206,212,209,178,154,149,174,137,145,117,88,196,232,227,228,228,228,229,228,227,181,185,190,194,198,201,205,209,203,216,216,190,175,158,171,132,148,91,135,232,225,228,229,228,228,228,228,228
24,137,141,145,147,150,152,154,157,158,160,161,164,165,166,167,169,170,171,174,174,175,175,176,176,175,177,177,178,137,141,144,146,150,152,155,157,159,161,162,164,166,167,169,170,171,172,174,174,175,177,177,177,178,179,179,180,138,142,145,148,151,153,156,158,160,163,164,166,168,169,170,172,172,173,175,175,177,177,178,179,179,180,180,180,138,143,145,149,151,153,156,159,161,163,165,167,169,170,172,174,173,173,176,177,179,179,180,181,181,181,181,180,139,144,146,150,152,154,157,159,162,164,166,168,170,171,172,174,175,175,176,179,180,181,180,181,181,181,181,180,140,143,148,152,152,156,158,160,163,165,166,168,170,171,172,174,176,177,179,180,180,181,181,181,181,181,182,181,141,144,153,149,133,156,158,161,164,166,167,169,170,169,173,175,173,167,177,180,181,181,181,181,182,183,182,183,141,144,160,159,119,149,159,162,164,167,168,169,171,154,137,173,171,142,138,178,181,181,181,182,183,183,183,183,142,144,150,162,130,125,160,162,164,166,150,164,184,159,126,153,173,146,108,139,182,183,183,184,184,184,184,181,142,145,149,161,153,125,150,162,173,179,156,139,185,163,134,141,176,152,109,96,180,183,184,186,185,184,172,154,141,146,151,156,176,151,126,160,182,192,163,134,179,167,137,124,175,146,105,80,166,184,184,184,184,176,146,120,142,146,150,153,170,163,134,143,171,201,175,144,148,174,144,108,162,130,96,73,150,185,184,184,177,162,131,104,142,147,150,153,157,169,171,158,162,187,181,144,117,162,142,100,137,121,98,73,112,184,184,170,161,146,115,125,142,148,151,153,156,166,179,174,176,181,172,137,106,136,136,101,111,134,107,73,85,164,165,156,149,122,99,164,143,147,150,153,157,159,177,178,170,178,168,135,121,114,148,118,106,159,118,86,118,136,153,151,123,99,144,185,143,148,151,154,157,159,171,185,168,153,148,146,144,112,153,138,92,154,122,144,161,150,145,129,104,124,183,187,143,148,151,155,157,160,166,185,154,143,140,147,146,124,142,134,101,150,174,174,162,146,126,113,106,178,187,188,143,148,152,155,157,161,165,194,172,152,136,137,144,155,143,142,164,181,177,170,156,138,117,102,147,187,188,188,144,148,152,155,158,162,164,197,187,164,142,133,154,170,179,188,191,183,174,164,149,129,105,111,184,189,189,189,144,149,152,155,158,162,165,195,197,174,158,143,148,168,186,201,192,182,176,161,138,112,96,150,188,189,189,189,145,149,152,155,159,160,163,188,202,182,172,160,150,170,184,198,190,184,175,155,132,104,111,184,188,188,189,189,145,150,153,155,158,160,164,174,200,191,179,170,158,167,182,193,188,179,167,151,131,99,160,189,190,189,189,189,145,149,153,156,157,160,164,167,185,193,184,169,160,166,179,186,181,169,154,140,115,127,186,189,190,190,190,190,144,148,152,155,157,161,165,168,176,195,181,169,159,167,174,176,170,158,140,121,105,176,188,189,190,190,191,192,143,148,151,153,156,160,163,166,171,185,172,167,162,163,168,171,166,154,131,106,137,189,188,188,189,189,189,190,141,146,150,152,155,159,161,164,169,177,169,174,173,172,172,168,159,146,124,99,168,187,187,187,188,188,188,188,141,145,149,152,153,158,160,162,169,188,183,186,179,177,170,163,154,140,115,101,180,186,186,186,187,187,189,188,140,145,149,151,153,158,160,162,171,199,187,186,179,175,164,158,153,132,108,110,185,186,186,186,186,187,188,188
11,101,105,108,111,113,115,117,120,121,123,124,125,126,128,130,130,131,132,132,133,135,135,135,136,136,135,135,134,102,105,109,112,114,117,119,120,122,124,125,127,129,130,131,132,132,134,135,136,136,137,137,137,137,137,136,136,103,106,110,113,114,117,119,121,123,124,126,127,130,131,131,133,134,135,136,136,137,137,138,137,138,138,137,137,103,108,111,114,116,117,118,121,124,125,127,128,130,132,132,131,136,136,137,137,138,137,138,138,138,138,139,139,104,109,112,114,116,118,120,123,125,127,129,130,131,132,136,121,105,139,137,139,139,139,139,139,139,139,140,140,106,109,112,115,117,119,122,124,126,128,129,131,132,132,139,127,77,134,140,139,139,141,141,141,140,140,141,140,106,110,113,116,119,120,122,126,127,129,131,131,133,132,146,121,76,135,141,141,141,141,141,141,141,141,141,140,106,110,114,117,119,120,123,126,129,130,132,132,133,133,152,102,84,144,139,141,142,141,142,142,142,142,142,142,106,111,115,118,119,121,124,126,129,131,132,134,133,140,154,93,99,147,141,142,143,143,143,143,143,142,142,142,108,112,115,118,120,122,124,126,129,131,132,133,132,150,132,80,115,146,142,143,143,144,144,144,144,143,143,143,108,112,115,118,120,123,125,127,130,131,130,131,136,154,99,76,133,143,142,143,143,144,144,144,144,143,143,143,108,113,115,118,121,122,126,127,127,128,142,140,102,113,86,89,146,142,143,143,143,144,144,144,144,144,143,143,108,112,116,117,120,125,119,128,144,112,115,130,92,73,73,116,148,142,144,144,144,144,144,144,144,144,144,143,108,112,115,134,151,144,112,84,138,109,77,110,89,65,69,137,143,142,144,144,144,145,145,145,145,144,145,145,109,109,131,140,129,145,112,76,124,92,86,122,82,55,83,148,142,143,144,145,145,146,146,146,146,145,145,145,108,114,133,121,107,135,108,78,120,78,99,115,74,51,101,151,142,144,145,144,145,146,147,147,147,147,145,144,105,125,139,107,86,121,100,74,106,73,108,99,63,50,114,149,142,144,144,145,146,146,146,147,147,147,146,145,105,141,137,110,90,107,75,78,89,68,102,83,57,47,120,149,142,145,146,147,146,149,149,146,147,146,146,146,115,154,130,111,91,91,68,88,69,74,115,65,49,52,102,147,143,140,135,128,124,121,136,151,146,147,146,146,131,155,124,110,93,80,76,102,48,56,94,54,71,87,88,117,129,134,133,126,118,103,93,119,150,147,146,146,133,147,128,115,100,85,83,93,82,95,103,113,117,115,120,126,131,127,116,102,96,101,95,74,137,150,146,147,128,145,132,121,106,93,101,121,134,130,127,127,124,113,117,117,95,93,105,116,133,143,134,118,142,149,147,147,130,151,132,124,107,97,110,134,128,121,126,122,115,94,86,85,109,136,149,152,151,150,151,152,149,148,147,147,144,151,126,117,101,98,111,126,121,119,121,109,86,69,96,133,150,149,147,147,147,148,148,148,148,149,148,148,152,125,112,106,101,103,108,112,117,114,100,71,73,116,146,147,145,146,147,148,148,149,149,148,148,149,149,149,150,121,110,112,109,106,106,100,104,88,63,91,136,147,143,144,147,147,147,147,149,149,149,148,149,150,148,148,146,133,104,121,121,108,101,87,80,67,109,142,140,139,141,143,144,145,144,146,147,147,147,148,146,147,148,152,145,135,100,127,123,103,88,77,61,104,143,135,137,139,141,142,143,144,145,145,146,146,147,147,156,162,163,164
4,157,161,165,169,172,175,177,179,181,184,185,187,187,189,190,190,191,190,190,189,189,188,188,187,187,187,186,185,159,163,166,170,173,175,179,180,182,185,187,188,189,192,192,191,192,194,193,191,191,191,190,189,187,188,187,187,160,165,168,172,175,178,180,182,185,187,188,188,188,191,195,200,176,155,182,196,195,193,191,191,190,190,189,188,161,165,169,173,175,178,180,184,187,190,189,199,181,153,184,223,182,132,125,202,195,194,194,193,192,192,191,189,162,166,171,174,178,180,182,185,187,186,199,232,196,154,139,223,185,139,107,178,180,193,196,194,193,193,192,190,164,167,172,176,179,181,182,185,196,195,185,219,209,165,122,211,190,134,75,118,144,135,194,197,195,194,194,193,165,169,173,177,181,183,184,193,226,221,170,153,219,179,120,194,189,129,67,119,150,107,134,201,196,196,194,194,164,170,173,176,181,185,185,204,222,213,156,128,208,163,108,161,167,112,67,128,153,112,91,199,198,197,195,195,165,170,174,179,181,184,186,203,205,203,153,118,187,148,101,120,142,105,80,159,161,109,87,200,200,196,195,196,167,171,175,180,182,186,186,202,200,184,159,129,169,144,103,84,122,85,110,188,150,91,93,204,200,197,196,197,167,172,177,181,184,188,187,206,218,187,165,145,145,177,132,108,121,93,116,156,123,72,96,206,202,201,199,198,168,174,178,182,184,187,188,211,228,201,159,105,110,177,149,170,148,151,159,174,156,100,104,209,202,202,200,199,169,174,178,182,184,188,188,219,224,184,147,110,89,95,110,170,152,176,191,200,179,114,113,210,203,203,201,200,169,174,179,183,186,188,189,225,209,162,130,105,88,83,84,124,151,165,176,180,159,116,98,201,204,204,201,201,170,175,180,183,187,190,192,230,214,174,141,107,93,93,106,113,123,137,142,149,151,129,86,176,208,203,202,201,170,176,180,185,186,190,197,232,211,172,131,108,99,95,108,133,124,155,167,168,167,141,94,132,213,204,204,202,172,177,181,186,188,191,201,230,208,166,128,107,104,97,114,141,151,200,201,207,195,155,109,85,199,207,206,204,173,178,182,186,191,191,203,228,205,167,136,119,110,107,117,137,187,214,220,212,208,167,116,73,171,212,207,206,173,179,182,185,189,191,203,222,200,170,143,129,118,113,115,170,218,220,220,193,188,152,111,76,176,212,206,206,171,177,181,183,187,191,200,218,198,174,145,124,111,120,140,214,228,222,203,181,156,127,90,103,205,207,206,206,171,176,181,183,188,191,197,220,207,169,133,124,117,137,173,228,226,210,181,159,130,101,74,168,211,206,205,205,172,177,181,185,189,193,195,217,208,179,160,156,127,143,195,226,215,193,166,139,111,78,112,211,208,208,206,206,173,177,182,186,189,193,194,214,211,187,163,163,133,131,209,214,198,172,147,120,93,71,181,212,209,208,206,206,173,178,182,185,189,194,191,215,217,192,170,162,132,136,204,199,174,149,121,98,70,118,215,211,209,209,207,207,173,179,183,185,190,193,189,229,224,197,169,149,117,137,187,179,148,123,98,80,71,189,212,209,208,209,208,206,173,179,183,186,191,187,209,233,216,184,160,125,108,144,163,137,105,93,79,64,150,214,210,209,209,208,208,207,168,174,179,182,185,186,230,228,213,192,160,130,126,146,137,101,87,86,70,127,207,207,207,206,206,207,205,207,131,134,134,133,128,177,232,220,212,190,156,139,136,136,120,92,91,90,75,123,138,137,137,136,137,138,139,141
3,117,126,133,137,140,144,148,152,154,156,157,158,160,161,161,161,163,163,162,162,162,161,161,161,160,159,158,157,121,130,136,140,145,149,153,157,159,161,163,164,165,166,166,170,142,158,168,166,167,166,165,165,164,163,161,161,126,134,140,144,148,154,157,161,164,166,168,169,170,170,172,174,116,117,177,172,172,172,171,170,169,167,166,164,130,138,145,149,153,158,162,166,169,171,172,173,175,176,177,175,113,84,174,176,176,176,175,175,173,171,170,169,133,142,149,152,157,162,167,170,173,175,177,178,179,180,181,183,115,72,162,182,180,179,179,178,177,175,174,173,136,145,152,156,160,165,170,174,176,179,180,181,183,184,185,188,124,70,149,189,183,183,183,181,180,178,178,177,140,148,155,159,163,168,173,178,180,182,183,185,187,187,187,201,143,74,131,194,188,187,187,185,183,182,181,180,142,151,158,162,166,171,176,180,183,186,187,188,189,191,178,179,131,69,116,197,190,191,190,189,187,186,184,184,145,154,161,165,169,174,179,183,185,188,190,192,192,215,189,137,93,80,108,198,194,193,193,192,191,190,188,187,149,157,163,167,173,178,182,186,187,191,194,183,160,199,213,161,87,133,119,190,198,196,196,196,195,194,191,190,151,158,164,169,175,180,184,188,191,191,205,198,164,154,221,175,137,176,94,158,204,200,199,198,197,196,194,193,154,161,167,171,178,182,186,191,194,174,170,209,196,150,192,171,147,158,82,99,203,202,201,200,200,198,197,196,155,163,169,173,179,183,188,192,203,195,169,159,201,161,162,167,124,158,111,79,152,209,202,202,201,201,200,199,157,165,171,175,181,185,191,195,194,205,193,139,149,173,134,168,125,140,140,102,103,209,204,203,203,202,201,200,158,166,172,177,183,187,193,197,187,148,166,117,93,149,102,166,162,106,140,110,100,207,207,206,205,204,204,202,159,167,173,178,183,189,194,198,195,142,142,115,78,129,103,100,98,63,125,115,96,206,209,208,207,205,205,203,161,168,174,180,185,190,195,199,206,175,125,114,91,111,146,89,45,79,148,123,86,192,213,209,208,207,207,206,160,167,173,179,185,190,196,199,202,166,117,96,81,68,115,98,84,124,164,124,81,178,217,210,209,209,208,207,161,167,173,179,185,190,195,198,202,189,146,104,82,72,88,146,161,165,146,109,87,188,215,210,210,210,209,208,162,169,175,180,186,191,195,198,206,198,157,114,103,110,124,200,208,179,139,94,99,207,213,210,210,210,206,204,163,171,177,182,187,191,196,200,205,201,171,135,120,115,138,205,201,165,130,91,121,218,215,212,212,192,173,199,157,164,172,178,184,190,196,201,204,200,176,145,123,118,134,197,193,153,118,85,144,211,196,197,192,157,154,198,100,102,106,111,117,121,124,130,136,182,178,149,135,134,125,187,184,145,106,82,141,186,168,153,182,123,158,189,96,97,99,101,100,101,101,101,98,141,182,159,144,140,117,163,168,131,95,91,164,158,172,143,154,112,173,180,97,99,100,101,102,104,107,108,104,121,186,164,143,135,107,128,142,104,86,131,168,152,157,155,120,120,181,175,98,99,101,100,104,103,103,105,101,158,207,166,138,122,98,106,108,90,97,152,163,153,149,148,110,148,175,175,97,99,101,101,103,103,103,104,102,183,206,163,136,113,101,101,96,82,135,149,137,151,142,135,133,155,172,175,96,98,101,100,100,102,103,103,109,186,194,162,139,123,109,97,88,83,163,153,105,143,143,135,152,148,181,171
17,136,139,142,144,146,148,148,149,151,151,151,152,151,150,149,149,149,147,146,146,144,144,142,139,138,135,134,131,137,141,145,148,149,149,151,152,153,153,154,154,154,153,153,152,153,150,149,150,147,145,144,142,141,138,135,132,141,146,148,150,152,153,154,154,156,157,157,158,158,157,156,154,154,152,154,153,150,149,146,145,143,141,138,137,143,148,150,152,155,156,156,157,158,159,159,160,161,161,160,155,160,159,152,156,153,153,150,148,145,144,141,139,147,151,153,155,155,158,159,159,160,161,162,163,162,163,158,170,172,125,114,163,155,154,153,152,148,146,144,143,148,153,155,157,158,161,162,163,162,163,164,164,164,165,159,179,206,95,81,167,157,157,156,154,152,150,147,146,152,154,157,160,161,163,165,166,167,167,166,166,167,167,166,167,220,135,90,168,159,160,159,156,155,153,151,149,155,157,162,163,163,164,167,169,169,169,169,172,170,170,169,170,233,179,106,165,163,162,160,159,157,156,155,152,156,161,163,165,167,168,169,171,171,172,172,173,174,172,170,180,243,206,111,151,170,164,164,162,160,159,157,155,160,162,164,168,170,172,172,173,173,175,176,175,174,174,168,196,236,208,115,136,177,167,166,164,163,162,160,158,161,165,168,171,172,172,173,175,176,176,174,175,204,205,160,161,219,221,122,124,179,168,169,166,165,163,162,159,163,167,169,172,175,174,177,177,177,180,185,176,229,218,190,133,162,197,140,115,180,171,170,170,168,165,165,162,165,169,171,174,177,177,179,179,177,221,243,181,158,205,201,214,207,136,102,107,179,173,173,172,170,167,166,164,167,171,173,176,178,179,180,180,185,224,210,199,138,157,135,206,221,160,78,86,179,177,176,173,172,171,169,166,169,172,176,177,179,180,183,182,191,223,130,154,180,90,61,95,221,200,106,61,170,182,176,176,173,173,171,169,170,173,177,179,180,182,185,182,197,215,150,135,124,93,92,63,202,235,149,54,143,188,177,178,175,174,173,170,173,176,178,181,183,186,188,184,201,232,198,151,121,121,132,109,186,243,177,75,133,190,178,180,178,174,173,173,176,177,178,182,186,187,189,184,208,232,162,130,136,155,160,172,226,235,187,95,129,195,182,182,182,186,185,172,175,178,181,184,186,187,188,185,205,231,183,155,152,176,171,224,243,216,173,101,127,198,182,187,171,130,119,88,176,178,181,184,185,186,188,186,201,243,206,169,152,180,195,239,242,210,156,94,133,196,186,177,86,64,62,56,177,179,181,184,187,188,190,190,199,243,218,192,160,186,226,243,229,197,147,86,128,194,192,125,60,68,63,61,176,181,184,186,189,190,192,193,198,243,231,209,182,182,229,243,217,189,140,73,133,211,136,60,47,33,25,9,177,182,186,188,191,193,193,194,195,239,241,219,206,191,217,236,203,180,139,65,123,127,59,46,37,14,12,0,180,183,187,189,190,194,194,195,193,229,243,227,215,195,189,220,190,178,125,69,63,59,58,48,28,1,0,1,173,177,183,187,189,192,193,196,194,213,243,230,210,182,171,188,175,178,119,62,42,55,51,55,43,6,0,0,91,94,99,102,99,100,104,108,106,134,243,226,192,161,157,164,177,168,104,53,15,35,37,34,57,31,0,0,68,73,74,70,70,70,69,69,66,93,239,196,164,147,150,161,174,144,71,44,23,0,26,15,42,51,4,0,81,84,84,80,84,87,86,84,92,37,190,193,158,146,159,156,148,109,39,0,3,0,2,7,20,49,23,0
21,108,117,124,126,130,137,143,147,151,154,156,158,161,162,162,162,163,162,161,161,162,160,160,158,156,156,155,154,109,119,126,128,133,139,145,149,153,157,159,161,162,164,166,164,164,164,163,162,163,162,162,159,157,156,156,155,112,122,128,131,135,143,147,151,156,159,162,163,163,164,165,169,167,167,167,166,164,165,163,161,160,158,156,156,113,123,129,132,135,143,148,154,158,160,164,165,163,186,144,130,175,167,169,169,167,166,165,164,162,161,159,157,114,125,131,132,137,145,151,155,158,162,165,167,166,202,156,88,165,173,171,171,169,169,168,165,168,164,162,159,116,127,133,133,140,148,153,156,161,165,167,169,166,195,180,97,142,180,171,172,172,170,174,158,121,163,165,163,117,128,133,135,142,149,155,158,163,167,170,172,170,186,209,136,125,184,173,174,174,172,181,153,76,148,170,164,120,130,135,137,144,151,158,161,164,168,171,174,174,182,223,161,107,179,177,177,174,176,178,144,84,155,171,166,122,131,137,139,146,154,160,162,166,170,172,176,177,180,217,168,101,162,184,179,176,188,183,126,89,175,170,169,123,133,138,141,148,155,161,165,169,173,174,178,180,178,218,182,110,142,189,179,178,195,178,111,110,183,171,171,124,133,139,142,150,156,162,167,171,173,176,180,182,176,216,203,127,133,191,178,187,187,149,87,143,183,173,172,125,135,140,143,151,157,163,167,172,175,178,180,182,179,203,203,123,127,193,183,201,188,136,75,169,180,174,174,127,138,141,145,152,160,165,170,174,177,179,182,185,185,202,199,105,106,192,186,200,180,113,104,188,177,177,177,128,139,143,147,155,161,167,171,175,179,180,183,186,148,147,207,114,129,169,181,175,146,77,144,191,178,180,179,128,140,146,149,156,163,169,173,177,180,181,193,201,138,103,157,129,125,161,175,170,107,77,183,183,182,181,180,129,140,148,150,157,165,171,175,178,181,183,176,198,145,133,109,131,124,111,153,158,80,133,197,183,184,183,181,131,142,147,150,159,166,173,177,180,184,204,144,139,156,157,149,161,131,51,90,123,62,151,195,186,186,185,183,131,143,148,152,160,167,174,178,179,202,218,181,106,144,155,145,145,115,86,54,61,57,162,195,186,187,187,184,133,145,149,153,160,168,174,180,180,202,218,192,113,108,144,83,106,129,112,81,48,48,175,195,188,189,188,186,134,145,150,155,162,169,177,181,181,214,207,177,130,90,151,128,66,139,136,101,74,36,143,204,189,190,188,187,134,146,152,156,164,171,178,182,184,214,198,181,134,60,143,216,93,124,172,113,91,51,98,208,190,192,190,188,136,148,150,155,165,172,179,185,183,214,232,198,120,103,97,147,87,156,160,119,95,58,91,208,191,194,191,189,138,147,151,156,165,173,179,186,184,210,231,212,146,165,77,109,181,161,146,100,91,48,106,210,192,195,193,191,137,149,153,157,167,174,180,186,186,203,235,196,163,138,101,167,196,136,137,128,81,42,125,212,193,195,194,193,138,150,152,158,168,176,181,188,189,199,231,193,190,142,152,209,174,150,139,137,95,34,157,209,196,196,195,195,137,148,151,157,167,174,180,187,190,193,219,195,190,153,163,206,171,152,124,113,74,47,193,202,197,196,196,196,137,147,149,156,167,174,180,185,189,195,211,197,184,162,127,169,146,119,97,82,38,91,212,197,198,195,196,194,140,148,152,158,167,174,181,184,197,165,161,208,179,151,113,117,120,108,83,65,36,163,210,199,198,196,196,194
14,167,169,169,171,173,172,172,173,173,172,171,171,170,169,168,168,167,166,165,164,163,160,159,158,157,156,155,154,169,170,171,171,173,173,174,175,174,174,173,173,172,173,170,168,167,167,167,166,164,162,161,160,159,157,155,154,170,172,173,173,174,175,175,175,176,176,177,176,176,166,170,178,173,168,168,167,165,164,162,160,161,160,157,156,172,174,174,175,176,176,177,177,177,177,168,154,151,124,112,133,151,173,173,170,167,167,164,163,162,161,159,157,173,175,176,177,178,177,178,179,180,166,142,122,99,77,67,85,96,124,148,166,171,168,166,164,163,163,160,158,174,176,176,178,179,179,180,180,175,156,118,82,69,69,67,77,94,101,105,110,172,168,167,166,164,164,162,160,176,177,178,180,180,181,178,171,158,130,77,52,57,60,57,60,65,84,79,78,171,172,168,168,166,164,163,160,176,177,179,181,182,183,175,158,138,91,63,55,50,55,57,60,56,68,72,69,107,169,170,169,167,165,163,162,176,177,180,182,182,184,173,155,111,62,65,60,58,57,57,51,55,56,75,82,73,167,173,169,167,167,164,162,177,180,181,182,183,184,178,160,119,62,60,56,60,63,55,125,128,137,93,65,68,141,181,172,169,168,167,165,179,181,182,184,184,184,178,158,121,65,55,52,62,54,93,193,187,190,171,110,83,85,124,158,172,167,168,166,179,181,183,184,184,185,179,160,113,66,67,61,51,75,175,184,180,180,183,178,111,102,90,124,177,167,168,167,181,182,183,184,186,186,180,165,123,84,72,67,55,146,194,183,184,182,185,139,107,109,87,137,178,169,169,168,181,182,184,184,186,185,179,169,134,95,73,64,59,168,190,186,184,187,170,107,106,100,84,167,176,170,170,168,183,184,186,187,188,181,178,172,137,102,78,58,73,191,189,185,185,187,122,94,103,84,109,183,173,173,171,170,183,185,187,188,189,180,177,169,139,107,76,60,64,149,184,192,194,152,101,89,95,63,141,183,174,173,171,170,182,185,187,188,188,181,178,169,139,106,79,66,64,69,90,142,159,100,104,101,72,97,181,177,176,175,173,171,184,185,187,188,189,178,182,174,136,110,84,67,70,76,79,83,84,87,99,85,88,178,181,178,176,175,174,172,185,187,188,189,188,176,185,171,134,108,87,65,67,75,83,89,85,83,94,77,166,186,179,179,176,174,173,172,185,187,188,190,187,176,185,166,130,108,91,66,67,77,82,87,91,84,65,135,193,180,181,179,177,175,174,173,185,188,189,192,185,177,181,162,129,114,93,67,68,80,87,89,88,72,90,186,184,183,181,180,178,177,176,174,186,188,189,193,182,179,174,152,128,112,92,67,69,84,89,90,81,68,176,189,184,184,183,181,180,177,176,175,186,187,188,193,183,176,165,147,123,107,90,67,69,85,87,85,60,115,198,185,187,184,182,181,181,178,176,174,186,188,189,192,182,172,163,146,119,104,87,68,70,81,83,70,68,182,190,186,186,184,182,181,181,179,177,174,187,189,189,190,184,167,157,140,117,97,82,68,69,78,75,52,152,198,186,187,187,186,184,181,181,178,178,176,187,189,190,190,183,164,158,138,114,92,78,65,67,59,55,141,200,189,190,189,187,185,184,182,181,180,178,176,186,189,189,189,182,164,153,137,113,90,72,61,57,83,161,199,192,192,191,189,188,185,184,183,182,180,179,177,185,188,186,188,173,155,149,136,113,84,68,50,109,198,198,188,190,190,189,188,186,184,184,181,180,179,177,176
4,156,158,159,160,162,163,164,165,166,167,169,169,169,169,169,168,167,168,167,167,166,165,164,164,166,165,164,162,156,157,159,162,162,163,164,166,167,167,169,169,170,169,169,167,168,169,169,167,166,167,166,166,166,165,164,163,158,159,160,162,163,165,166,165,167,167,170,170,170,169,168,172,167,169,170,169,169,168,168,167,166,166,165,165,158,160,161,163,164,165,167,167,168,169,172,169,182,172,154,152,179,169,153,166,171,169,168,167,166,167,166,166,159,161,162,163,165,167,168,168,170,174,161,179,206,167,156,127,192,164,141,124,170,171,172,169,167,167,167,166,160,163,163,164,166,170,169,167,204,201,173,146,205,178,147,147,202,167,145,96,161,150,150,173,167,167,168,168,159,164,165,163,167,170,165,182,221,217,189,122,179,192,135,163,209,166,126,138,175,132,100,147,174,167,169,169,161,164,166,166,168,170,165,202,208,211,173,119,174,192,144,160,187,172,185,173,125,122,92,105,174,170,171,170,163,164,167,170,170,168,174,211,184,205,160,106,159,180,186,179,191,215,216,175,120,93,89,95,175,171,171,170,163,166,167,169,172,166,185,210,173,190,167,94,139,167,174,191,201,203,189,182,147,98,76,102,178,171,172,170,164,166,168,170,171,169,207,204,171,170,180,93,120,163,113,146,176,181,173,189,157,115,73,113,180,170,172,171,165,166,168,171,166,186,215,180,160,148,130,81,120,170,87,129,166,140,179,196,167,130,81,131,180,171,173,172,165,167,169,172,165,204,206,168,143,144,124,102,122,148,92,134,181,95,181,211,181,144,91,155,180,173,173,173,166,168,171,171,171,219,204,166,138,128,116,111,116,115,109,114,144,108,172,222,192,154,97,131,183,174,175,173,167,169,172,169,178,228,201,167,137,121,106,111,120,118,148,149,166,191,184,202,188,149,114,97,178,177,176,175,168,172,174,167,188,231,199,165,132,125,113,115,114,125,166,177,201,196,197,173,165,154,128,95,169,179,175,175,169,170,174,166,199,230,201,158,135,142,125,111,105,145,189,200,199,190,184,159,132,148,120,106,176,176,176,176,168,170,172,166,208,229,197,161,160,160,130,122,159,202,212,200,199,189,166,144,121,122,99,132,183,176,176,176,166,169,172,166,213,226,200,182,186,165,134,175,209,217,218,200,192,176,154,135,116,104,97,166,179,177,177,176,166,169,172,169,218,224,211,196,188,176,142,196,214,218,223,193,172,162,146,131,112,89,129,184,177,178,176,176,168,170,173,170,219,227,218,199,182,179,152,200,220,219,210,183,158,148,138,125,102,96,172,181,178,178,177,177,167,170,175,168,210,230,217,203,182,175,168,203,217,204,191,171,147,140,131,113,89,134,185,177,179,179,179,177,169,171,174,168,199,226,208,199,187,175,173,191,201,188,172,154,144,142,124,98,99,176,181,181,179,179,178,177,169,170,175,168,202,217,196,194,194,181,175,183,192,179,164,145,139,135,116,88,146,188,179,179,180,178,177,176,168,170,175,167,201,208,188,194,195,176,163,180,192,178,157,134,128,127,101,120,184,182,181,180,178,178,178,177,167,170,174,168,193,210,192,193,185,176,157,173,195,173,141,119,121,112,104,170,181,179,180,179,177,176,177,176,123,123,128,115,167,222,200,200,184,178,160,163,191,160,128,115,113,102,101,117,115,114,115,115,113,116,115,111,96,95,99,84,146,233,211,205,191,184,165,153,186,160,127,112,104,96,90,89,87,88,87,87,88,86,90,151
12,155,157,159,162,163,164,167,170,171,172,172,173,174,173,173,174,173,173,174,174,174,172,172,172,171,170,170,169,157,160,161,163,165,166,169,172,173,174,173,174,175,175,175,176,176,175,176,177,176,174,174,173,173,172,171,171,158,161,163,165,166,168,171,171,174,176,176,176,176,177,176,178,177,178,177,178,178,178,177,176,175,174,173,173,158,161,164,165,167,169,171,173,174,176,177,178,179,178,178,180,180,179,178,179,179,180,179,177,177,176,175,174,160,163,165,167,170,171,173,175,176,178,179,180,180,179,181,181,181,179,179,179,179,180,179,178,178,178,178,176,161,163,166,168,171,173,176,177,178,179,180,179,182,180,170,176,185,171,152,170,181,180,180,180,180,180,180,179,163,165,167,170,172,174,177,179,180,180,181,179,201,194,155,143,201,164,118,114,182,181,182,181,180,181,181,181,164,167,169,171,173,174,177,179,180,181,182,180,218,204,161,132,199,159,107,75,147,141,145,182,182,183,183,183,166,169,171,173,176,177,178,179,180,184,189,152,161,191,153,122,194,154,104,84,159,127,80,150,184,184,184,185,166,169,171,174,176,178,181,182,180,209,200,161,113,149,143,115,187,153,100,116,168,136,84,103,187,186,185,185,167,169,171,174,177,180,181,183,194,222,213,169,119,100,159,118,198,182,124,141,179,147,84,92,188,188,186,185,167,171,173,175,178,180,182,181,213,199,209,173,122,85,166,118,173,170,110,155,203,157,80,94,189,189,187,187,169,172,175,177,179,183,184,186,220,194,196,172,118,70,106,93,74,127,115,152,165,111,59,99,190,189,188,188,171,174,176,178,180,184,184,209,216,179,180,166,119,74,55,56,59,154,186,179,154,123,68,111,190,189,190,188,173,175,177,180,182,184,186,222,203,165,157,160,125,79,66,79,153,181,176,164,140,120,88,132,193,192,191,188,173,175,179,182,183,186,194,222,197,170,139,153,151,85,70,174,201,183,165,150,119,100,87,138,193,192,192,190,174,176,179,183,185,186,208,221,201,179,146,124,127,92,139,212,209,179,159,139,109,92,77,148,194,194,194,192,176,178,180,184,186,185,216,221,201,177,161,134,131,145,204,220,206,172,152,127,100,86,70,163,195,195,194,193,177,179,182,185,188,186,217,221,203,184,170,146,148,156,213,220,198,165,142,119,94,83,63,156,195,194,195,194,178,180,182,185,188,187,215,224,208,192,180,157,141,172,215,212,188,161,133,107,89,78,66,174,197,195,195,195,179,181,184,186,188,190,209,225,209,192,179,163,146,191,207,195,175,153,126,100,82,70,122,196,197,195,196,196,180,183,186,187,189,191,204,222,203,188,170,158,165,195,184,180,161,139,115,91,74,111,192,199,198,197,198,197,181,183,186,187,189,192,208,219,197,187,168,167,184,194,173,170,150,126,104,82,108,189,200,201,200,199,199,198,182,184,187,189,192,190,217,218,205,195,181,179,192,191,169,158,139,119,94,90,179,201,201,201,200,200,200,200,183,185,188,190,193,190,232,227,216,198,188,191,192,178,164,136,122,103,82,146,200,204,203,201,201,201,200,200,183,186,189,190,193,192,234,226,224,203,195,192,181,167,146,119,107,83,124,194,205,205,204,202,202,202,201,200,184,187,190,192,192,196,224,215,216,197,192,181,173,150,131,112,95,90,179,205,207,207,205,203,203,202,202,201,185,187,191,192,190,202,218,198,194,181,181,181,166,138,130,107,82,127,198,207,207,207,206,205,204,203,203,202
4,191,191,191,192,192,192,191,191,191,192,190,192,192,191,192,193,193,192,192,191,192,192,191,191,191,190,188,187,193,192,193,192,192,192,193,193,192,193,192,192,192,195,192,194,195,194,193,193,192,193,190,191,192,190,189,190,194,193,193,194,194,193,193,193,195,194,194,192,190,195,199,194,195,197,200,195,193,193,193,193,193,191,190,191,193,195,194,194,196,195,194,195,196,195,194,209,194,162,169,196,180,154,178,203,199,196,192,193,193,193,192,192,193,194,196,197,197,198,196,194,198,193,183,197,227,189,133,184,202,150,108,177,169,183,200,193,194,194,193,193,196,197,197,197,199,197,198,194,209,218,200,141,192,219,135,178,217,166,111,175,153,106,174,205,194,196,195,194,198,198,198,198,198,199,198,200,207,211,205,150,160,213,121,162,227,160,134,203,169,108,103,203,197,197,196,196,198,198,199,199,199,200,195,212,201,190,212,137,138,205,134,125,206,129,124,204,179,117,95,202,197,198,197,198,198,199,199,201,200,198,199,218,177,145,201,150,118,200,180,153,167,154,178,215,196,124,123,211,196,199,198,199,198,199,199,202,202,197,208,211,177,137,170,154,103,146,174,184,175,193,202,200,177,142,118,204,200,200,199,199,198,199,199,202,200,203,215,201,191,158,131,106,92,118,114,155,163,171,179,178,154,171,98,168,210,199,201,200,200,200,200,201,201,208,210,182,157,145,125,97,93,131,90,109,132,131,153,140,159,179,115,126,215,198,201,201,200,200,201,202,202,211,212,176,140,119,116,104,107,132,111,141,147,131,98,141,208,186,147,97,194,205,202,204,200,200,201,203,201,217,225,193,154,118,97,96,117,117,134,174,178,145,133,168,211,199,179,103,145,216,201,206,199,199,199,203,201,220,226,202,161,117,99,95,124,127,172,177,177,171,201,201,189,209,179,113,109,214,203,205,199,199,199,200,200,222,226,211,167,115,109,101,110,138,170,173,193,206,200,202,190,180,157,122,95,199,206,204,199,199,201,201,200,226,222,217,169,118,129,122,112,147,167,194,204,201,197,190,179,148,130,115,99,198,205,203,199,199,201,202,205,223,220,206,166,151,145,123,157,188,201,214,206,198,187,175,158,134,108,87,163,209,202,204,200,199,201,202,204,223,220,209,185,169,152,124,178,213,209,215,207,191,176,162,144,121,86,134,211,204,205,204,200,200,201,202,198,224,219,216,201,173,167,141,167,214,209,211,198,173,163,151,131,100,103,203,208,207,206,205,199,200,200,204,193,214,219,221,208,184,171,157,167,212,208,200,184,162,150,133,116,87,170,213,206,207,206,204,204,204,205,208,200,203,219,211,194,185,172,160,170,200,197,184,170,151,139,122,88,125,216,207,208,208,209,208,140,143,145,151,142,186,230,204,187,182,179,165,172,185,183,167,152,137,131,109,90,188,213,210,212,211,206,203,95,96,96,102,82,167,227,201,194,194,184,167,172,184,179,164,138,124,119,95,102,130,130,129,127,131,156,191,105,106,105,110,92,169,228,203,199,197,184,167,173,187,185,163,121,111,102,93,101,91,88,100,151,171,183,198,104,105,104,109,90,167,233,205,200,198,197,172,164,184,179,141,107,103,94,101,104,120,181,204,198,222,207,177,106,107,106,110,92,164,233,206,200,206,210,174,150,179,163,122,103,91,88,141,184,204,221,206,162,166,203,198,104,105,105,109,95,166,226,198,194,205,210,171,147,174,155,113,94,85,159,219,223,205,187,173,161,136,159,190
8,215,216,215,216,217,217,218,218,217,218,218,217,219,220,218,219,219,219,218,217,215,215,214,215,213,212,213,212,216,217,217,219,220,219,219,220,219,219,219,219,203,210,223,220,221,221,220,220,218,217,217,216,214,213,213,212,219,219,219,220,221,220,220,221,220,221,217,233,185,168,229,220,222,222,221,221,221,220,219,218,218,216,215,215,220,220,221,222,222,222,221,221,222,221,222,236,165,166,233,222,223,225,223,222,222,222,221,220,219,218,217,216,221,222,222,222,224,224,223,222,224,221,232,231,136,183,233,223,224,226,225,222,223,223,222,221,220,219,218,217,222,223,223,223,226,226,225,225,227,222,239,228,128,196,233,226,226,227,226,225,226,224,222,223,222,221,220,219,223,224,225,226,226,226,226,227,228,223,245,213,132,215,233,227,227,228,226,226,227,227,225,225,222,222,222,222,225,225,225,227,227,226,227,228,228,226,247,185,139,228,227,229,232,227,233,231,224,226,227,228,226,223,223,223,226,226,227,228,228,228,228,227,226,233,243,181,141,240,224,184,209,231,200,215,235,229,232,220,220,226,225,225,227,227,228,228,228,228,229,230,225,239,241,190,150,255,236,183,161,228,171,155,182,186,208,198,150,221,227,224,227,228,228,228,228,228,229,231,226,245,239,188,188,255,244,211,147,204,194,147,131,165,190,193,107,214,231,224,227,228,229,229,229,229,230,230,228,246,234,188,217,255,255,225,142,176,198,148,197,174,204,207,113,213,231,225,227,227,229,229,229,229,230,229,236,236,220,214,217,245,255,223,147,157,183,162,216,171,209,222,147,195,238,225,226,227,229,229,229,229,231,230,242,209,214,225,213,206,255,228,155,132,166,186,203,160,201,222,188,154,234,229,226,227,228,228,229,229,230,231,245,197,191,217,196,199,248,236,160,109,146,195,192,135,182,227,181,122,218,233,227,227,228,228,229,230,228,233,252,195,160,186,179,169,229,235,152,101,137,196,181,121,197,212,144,142,235,227,227,229,229,229,230,230,228,238,255,207,147,161,152,147,189,230,180,98,127,208,170,136,208,171,116,198,237,227,228,229,229,229,229,231,230,248,255,227,146,151,151,148,174,217,199,99,123,191,145,183,177,124,138,236,228,228,228,228,228,229,230,232,232,251,255,239,160,133,151,144,165,207,155,125,195,204,187,212,159,102,195,238,229,231,228,228,228,229,229,230,231,254,255,248,165,138,162,147,187,231,212,225,221,205,181,184,155,104,223,235,231,232,227,230,232,235,237,237,234,254,255,245,164,150,162,163,225,245,245,237,216,204,168,148,124,139,239,232,233,234,150,155,160,161,165,162,187,255,254,237,170,178,157,194,252,251,247,240,221,194,157,126,104,198,241,231,227,222,116,115,117,116,116,108,138,255,255,237,193,186,164,196,255,255,251,229,211,177,143,115,111,136,136,142,169,208,126,126,126,127,126,126,131,250,255,243,205,187,181,187,255,255,237,211,196,155,126,109,112,127,163,206,233,235,127,126,125,126,125,127,119,236,255,235,202,188,183,189,255,248,223,194,171,136,110,130,188,225,245,242,243,236,127,125,124,125,127,128,125,238,242,219,199,188,178,207,252,226,207,169,145,123,97,223,255,222,212,216,220,233,124,124,124,125,125,123,139,247,231,212,197,190,185,214,222,211,187,149,142,108,137,227,242,245,220,202,208,210,124,125,125,124,128,117,155,253,222,209,200,194,194,210,210,201,173,141,134,116,207,214,200,225,235,205,172,168
24,147,149,153,153,154,155,157,156,157,157,156,157,156,156,156,153,152,152,151,151,150,147,146,145,144,142,140,140,148,152,155,154,156,157,158,159,159,158,158,158,158,156,156,156,154,154,155,154,151,149,149,148,148,145,144,142,150,153,155,157,158,159,160,161,163,161,161,162,162,161,159,158,157,157,155,154,154,152,150,151,150,148,146,145,152,153,156,158,160,161,161,163,163,162,162,163,163,163,161,160,160,158,155,156,155,155,154,152,150,149,148,147,153,154,157,158,159,158,163,165,165,164,164,164,164,164,162,160,160,158,158,158,156,156,155,154,153,151,150,148,155,155,160,157,174,141,113,171,164,166,166,165,165,164,164,162,162,161,159,159,159,158,157,155,154,153,152,150,156,158,162,158,185,116,93,174,164,166,166,167,166,166,164,163,163,162,160,160,160,159,158,156,155,154,153,152,156,159,161,163,180,90,110,176,165,167,168,168,170,166,164,164,164,162,162,161,161,160,158,157,157,156,154,153,159,161,162,170,177,88,122,177,168,170,168,166,162,170,168,165,166,165,163,164,163,161,159,158,157,157,156,155,161,162,163,174,177,85,127,185,169,169,177,174,137,103,167,170,165,166,164,165,166,165,166,163,158,157,157,156,162,164,164,176,161,107,133,146,174,130,130,177,156,100,81,168,170,167,168,165,154,139,129,154,164,159,159,158,162,167,165,180,173,180,172,138,193,137,84,163,169,115,40,107,178,167,163,142,97,79,61,98,170,162,161,158,163,168,167,180,178,203,173,164,193,154,80,156,163,102,41,65,170,166,157,109,64,66,97,132,165,162,161,159,166,169,169,181,172,211,179,177,201,147,61,110,121,72,21,36,144,167,136,83,61,145,170,167,163,163,162,162,167,173,169,186,205,208,169,181,210,133,68,6,68,109,78,90,140,140,98,64,128,180,166,167,166,165,164,162,167,173,171,192,199,185,146,130,170,101,49,45,151,172,155,142,138,105,62,93,176,170,172,170,169,167,165,163,168,170,178,189,160,164,134,87,82,86,139,194,188,166,149,126,114,94,64,159,176,172,173,171,171,168,166,164,170,170,183,206,173,157,140,120,79,194,213,195,184,163,131,110,94,79,114,183,173,174,172,171,172,168,167,166,171,168,191,213,185,159,139,151,201,221,198,192,178,148,116,91,88,80,168,181,175,175,173,172,172,170,167,169,172,170,202,218,191,176,176,208,223,212,202,185,162,130,95,89,68,112,188,178,179,175,174,174,173,171,170,169,173,170,208,219,197,186,204,222,220,207,197,171,141,106,90,78,78,174,182,179,180,177,176,174,173,174,172,171,175,171,207,227,202,188,210,218,202,180,172,148,114,95,80,74,160,188,181,182,180,179,178,176,175,175,173,170,175,171,201,230,206,185,197,201,189,161,145,123,97,84,78,160,191,182,183,182,181,180,178,178,176,174,174,172,176,175,191,209,189,184,201,204,190,162,144,113,84,58,148,195,186,187,184,183,183,182,181,179,177,177,174,173,175,178,183,191,183,193,199,190,185,153,129,100,52,88,194,187,189,187,186,183,184,183,181,179,178,178,175,174,176,179,181,198,209,199,192,178,180,149,118,83,41,143,197,189,189,188,188,186,184,183,182,181,179,177,177,175,176,178,181,213,211,182,190,177,164,141,116,70,54,177,194,191,190,190,190,187,185,184,183,182,181,180,178,175,173,176,179,221,209,170,197,170,152,141,108,73,58,180,193,189,189,190,188,186,184,183,183,181,180,179,177,175
7,157,158,160,162,161,162,161,161,161,161,160,158,159,157,156,155,154,152,150,151,150,149,147,152,114,0,0,0,159,160,162,163,163,164,164,163,162,163,161,160,160,159,163,158,156,155,152,149,152,147,145,153,140,97,70,57,161,162,165,167,167,167,167,166,166,166,164,161,163,153,132,146,150,145,130,131,126,130,158,141,110,55,145,142,164,166,167,169,168,169,169,168,167,165,165,167,169,156,128,134,158,153,128,122,115,119,163,120,97,89,170,100,166,168,169,169,170,169,169,169,174,179,188,188,180,151,137,142,124,111,115,99,100,84,82,109,129,102,94,70,167,169,170,172,173,172,162,169,185,194,193,182,171,162,158,153,124,81,114,126,109,103,89,91,71,100,93,132,170,170,174,172,189,193,174,168,175,179,174,171,169,167,166,146,122,106,115,123,111,111,103,81,55,91,90,100,170,172,175,177,211,200,185,168,169,177,176,174,172,167,164,147,120,102,87,77,68,70,61,54,49,52,73,144,173,176,173,195,215,200,173,145,152,170,175,170,160,141,123,102,82,90,83,86,94,106,110,109,122,133,142,134,176,178,175,212,209,195,157,136,155,148,136,127,111,101,91,75,70,101,182,173,171,173,172,170,166,162,163,117,178,173,191,218,205,188,169,161,151,132,133,139,136,128,122,118,128,58,72,162,170,166,166,163,160,158,158,157,178,175,214,215,208,203,204,185,145,142,148,145,138,120,115,111,102,67,0,67,181,167,168,166,164,161,158,159,173,190,221,214,212,211,213,186,125,126,136,129,122,109,102,92,77,52,0,32,179,169,170,169,166,163,161,159,178,214,219,216,213,209,201,167,131,120,93,69,67,87,102,110,121,92,14,109,179,169,171,170,168,167,163,160,203,221,218,216,213,201,189,167,146,124,100,87,107,147,145,123,129,105,100,188,170,171,171,170,168,167,165,161,216,219,220,216,205,194,181,155,134,144,128,118,139,137,120,109,106,68,100,189,174,174,172,171,170,168,166,163,219,220,217,213,200,181,150,138,160,166,135,124,127,116,109,99,86,31,125,188,177,177,174,172,172,169,167,164,219,218,214,208,190,165,162,176,185,169,144,114,92,74,60,40,35,81,178,180,180,180,177,173,171,170,168,165,218,212,203,193,183,179,183,179,171,152,118,87,48,96,66,83,143,183,184,183,181,179,177,176,172,170,168,167,210,202,192,189,185,190,179,157,152,138,114,67,104,191,190,194,194,185,185,182,179,178,179,178,174,171,170,167,197,189,191,187,180,178,168,152,150,122,65,100,197,190,188,187,186,187,187,183,182,180,179,178,176,174,171,168,186,177,180,179,168,160,153,143,118,64,81,194,191,190,189,187,187,187,186,183,183,183,180,178,176,174,169,164,184,178,171,160,146,141,133,113,61,71,186,194,188,189,188,188,186,187,184,183,181,180,179,177,172,174,175,157,180,170,155,137,119,115,95,50,76,182,197,193,191,191,189,188,186,186,184,183,183,182,178,174,184,146,60,115,157,139,121,98,86,66,38,90,190,198,192,194,193,193,190,188,187,187,185,183,182,179,182,185,157,46,0,0,128,111,100,90,63,61,131,201,196,193,194,194,193,193,190,189,189,188,184,184,191,191,167,98,22,0,0,0,121,117,94,63,61,189,205,193,193,194,194,194,193,193,191,189,189,190,193,181,146,90,26,0,0,0,0,0,145,131,96,47,79,208,192,195,194,193,194,194,193,192,190,188,181,170,121,55,4,0,0,0,0,0,0,0
13,176,177,178,179,180,182,182,182,181,181,181,181,182,181,180,179,178,178,176,176,175,174,173,172,171,171,170,169,178,179,180,181,182,183,184,185,184,183,182,182,183,182,182,180,179,178,178,178,176,175,174,173,172,171,171,170,180,181,182,182,184,185,185,186,186,185,184,183,184,183,183,182,181,180,180,180,178,177,176,175,174,173,172,172,181,183,184,185,186,187,186,186,186,186,186,185,185,185,185,184,182,182,183,181,180,179,178,178,177,176,174,173,182,184,185,186,187,188,188,187,187,187,188,187,186,186,185,183,167,157,176,181,179,181,180,179,178,179,177,175,184,186,188,188,189,189,190,190,189,189,190,190,185,184,186,180,140,97,104,167,147,140,172,181,179,180,179,177,186,187,189,189,191,192,192,194,181,161,185,192,159,138,178,168,134,93,67,129,126,87,110,180,181,180,180,178,187,188,191,192,192,193,199,205,178,128,134,180,152,119,164,170,132,100,65,118,120,93,74,158,183,181,180,179,189,190,193,193,194,193,221,211,179,136,130,174,145,119,181,197,142,103,77,142,129,99,63,149,184,183,182,181,190,192,194,194,195,198,228,214,183,137,137,178,142,114,200,201,134,99,111,166,127,86,65,159,185,185,183,182,192,194,196,195,196,215,226,201,180,130,133,174,144,101,147,165,111,86,91,118,91,65,70,176,187,186,186,185,193,195,197,197,206,224,204,171,140,102,127,166,137,92,53,80,104,98,93,94,93,73,96,188,188,188,187,186,195,196,196,198,221,224,187,143,108,78,121,135,114,76,36,49,87,88,110,127,126,104,111,191,190,190,189,187,195,197,198,200,237,232,209,168,127,75,104,113,98,94,119,153,163,154,154,140,146,127,95,182,192,192,190,189,196,198,200,209,241,230,213,194,164,115,111,146,169,191,196,191,184,173,163,130,120,108,88,154,194,194,193,191,199,200,201,215,239,230,217,202,174,157,163,194,205,203,198,189,181,167,151,131,111,105,93,127,195,195,194,192,201,201,200,219,238,230,218,203,182,178,188,203,212,202,194,188,177,161,142,130,112,102,90,109,197,196,194,193,201,200,201,220,235,228,217,200,184,180,192,201,211,202,194,186,168,149,134,121,102,92,77,135,197,196,194,194,202,202,203,215,232,224,212,192,175,174,185,194,199,194,188,174,153,138,123,106,87,71,107,191,197,197,196,195,201,203,204,210,222,216,196,176,166,179,186,188,182,183,177,161,145,125,105,86,68,79,182,199,199,198,197,196,204,180,143,192,208,201,189,180,173,183,188,180,170,161,155,137,117,97,82,65,84,172,200,201,200,199,198,196,200,123,73,109,200,210,207,201,183,174,183,170,147,132,132,113,92,75,81,132,188,202,203,202,200,200,199,197,152,89,83,76,123,193,205,198,178,160,168,152,126,113,108,84,68,108,184,203,204,204,204,202,202,201,200,199,101,80,79,78,74,102,148,151,148,143,154,131,108,96,81,70,141,200,207,206,206,206,204,204,203,202,201,200,89,78,74,75,77,43,52,64,65,67,80,81,77,68,56,140,207,210,208,208,207,207,205,205,204,203,201,200,80,74,72,71,75,57,24,47,50,44,41,38,37,40,41,158,210,212,209,209,208,206,205,206,205,203,202,201,77,73,69,66,73,64,15,35,43,38,36,34,32,26,18,63,204,210,209,209,208,206,206,206,205,203,202,200,76,71,69,60,68,61,13,27,37,35,35,31,31,22,16,141,209,209,209,208,207,206,205,205,204,202,201,200
4,188,189,190,192,194,194,195,197,198,198,200,200,201,200,200,199,199,199,198,198,197,196,196,196,197,197,195,194,188,189,191,193,194,194,196,197,199,199,200,200,201,200,200,199,200,200,200,199,198,198,198,197,198,197,196,195,189,190,192,194,195,196,197,197,198,199,201,201,201,201,199,203,199,200,202,200,200,200,199,198,197,198,197,197,190,192,193,194,195,197,198,199,200,201,203,201,213,203,186,184,209,200,185,197,202,200,199,198,198,198,197,197,191,193,193,194,197,198,199,200,201,205,193,210,236,198,188,160,222,195,174,157,201,202,204,200,199,198,198,197,192,195,195,195,198,201,200,198,234,231,204,179,235,208,179,180,232,199,178,131,193,182,182,204,199,199,200,199,191,195,196,195,198,201,197,212,250,246,219,156,210,222,168,195,238,197,159,170,206,165,134,179,205,199,201,200,193,196,197,197,199,201,197,232,238,240,204,153,206,222,176,192,218,203,216,204,158,155,127,139,205,201,202,201,195,196,198,201,201,199,205,241,214,234,192,140,191,211,216,210,221,244,245,206,153,127,124,130,206,203,202,201,195,197,198,200,203,197,216,239,204,220,198,129,172,198,205,222,231,233,219,213,179,132,111,136,209,202,203,202,195,198,200,201,202,200,237,234,202,201,211,127,154,195,147,179,207,212,204,220,188,149,109,147,211,202,203,203,196,198,199,202,198,217,244,211,191,181,163,117,154,201,122,163,198,172,210,226,198,163,117,165,211,202,204,204,197,198,201,203,197,234,236,199,175,176,158,137,155,180,127,167,212,129,212,240,212,177,126,187,211,204,205,204,197,200,202,202,202,248,233,197,171,162,150,145,149,148,144,148,177,142,203,251,223,186,132,164,214,205,206,204,198,200,204,200,209,255,231,198,170,154,140,145,154,152,180,181,198,221,214,232,219,181,148,131,209,208,207,206,199,203,205,198,219,255,229,196,165,158,147,149,148,158,197,207,231,226,227,204,196,186,161,130,200,210,206,206,200,202,205,198,229,255,231,190,168,174,158,145,140,177,220,230,229,221,215,191,165,181,153,140,207,207,207,207,199,201,204,197,238,255,227,192,192,192,163,156,190,232,241,230,228,219,197,176,155,156,133,165,214,207,207,207,198,200,203,198,242,254,229,213,216,197,167,206,239,246,247,229,222,207,186,168,150,138,131,197,210,208,208,207,198,201,203,201,247,253,240,226,219,207,175,226,244,247,252,223,204,194,178,164,146,124,162,215,208,209,207,207,199,201,204,201,248,255,247,229,213,210,184,230,249,248,240,214,190,180,171,158,136,130,203,212,209,209,208,208,199,201,206,199,239,255,246,232,213,206,199,233,246,234,221,202,179,172,164,147,124,166,216,208,210,210,209,208,200,202,205,199,229,255,238,229,218,206,204,222,231,219,203,186,176,175,157,132,134,207,212,212,210,210,209,208,200,202,206,200,232,246,226,224,225,212,206,214,222,209,195,178,171,168,149,123,179,218,210,210,210,209,208,207,200,202,206,199,231,238,219,224,225,207,194,210,223,209,189,167,162,160,136,154,215,213,212,211,209,209,208,208,198,201,205,200,223,240,222,224,216,207,189,204,225,204,174,152,154,146,138,201,212,210,211,210,208,207,207,207,156,156,161,149,198,250,230,230,215,209,192,194,221,192,162,149,147,136,136,151,149,148,149,148,147,150,149,145,131,129,134,119,178,255,240,235,221,214,197,185,217,192,160,146,139,131,125,124,122,123,122,122,123,121,125,183
8,148,156,160,165,171,175,178,182,184,188,191,192,194,194,196,197,197,198,198,198,199,198,198,198,198,197,197,196,151,158,163,169,174,179,183,184,191,192,195,196,198,198,199,199,199,200,200,200,200,200,199,199,199,197,197,197,156,163,167,173,180,185,187,206,181,196,201,202,203,203,204,203,203,204,206,205,204,204,203,202,201,201,200,199,159,167,170,177,185,188,194,229,155,183,211,207,208,209,209,210,209,209,210,209,208,207,207,206,205,204,204,202,162,170,173,181,187,192,202,242,151,170,218,212,214,215,215,215,216,215,213,213,216,214,211,211,210,210,209,207,166,173,177,184,192,195,207,250,150,168,224,216,219,221,222,220,219,221,223,222,208,213,220,216,215,215,214,211,170,176,180,188,196,199,208,246,157,167,229,221,223,221,219,227,239,185,184,248,205,159,214,224,220,220,219,216,173,178,185,192,198,204,212,253,171,159,232,224,234,240,182,212,251,193,149,213,219,166,167,231,225,226,224,221,176,181,189,197,204,208,217,255,191,165,226,228,255,255,242,230,207,201,213,235,181,139,141,214,233,228,227,226,178,184,192,201,208,212,217,255,218,195,216,248,255,255,255,219,205,209,217,218,187,140,104,190,242,230,231,230,182,187,195,204,212,217,218,251,225,216,238,252,227,204,255,224,199,211,190,177,200,164,106,201,244,233,234,233,185,190,198,207,213,221,220,247,245,223,242,249,232,175,213,245,168,143,137,187,218,179,131,222,244,238,237,235,188,193,202,211,217,224,223,247,255,202,230,223,214,196,182,237,176,111,98,227,238,200,139,186,252,240,241,238,190,195,204,214,219,226,227,246,255,198,183,219,179,181,177,214,201,157,103,202,255,220,159,133,243,246,243,241,192,197,207,216,221,228,231,244,255,231,159,182,184,168,187,210,216,159,201,255,246,222,170,117,210,255,245,245,192,199,210,218,225,231,234,244,255,253,189,153,201,173,211,250,218,199,255,255,225,187,164,125,211,255,248,247,194,202,212,220,227,232,238,242,255,255,215,164,171,184,219,255,249,255,255,238,213,174,144,134,243,255,250,253,198,203,215,223,228,233,239,244,255,255,238,192,163,185,209,255,255,255,255,230,194,164,123,169,255,255,255,242,198,204,216,224,230,236,241,245,255,255,249,212,182,189,201,254,255,255,247,216,181,154,117,224,242,192,155,114,199,205,216,225,232,237,242,244,255,255,255,223,207,196,196,235,255,255,235,199,169,144,120,138,104,86,89,94,200,206,217,227,233,238,244,245,255,255,255,235,221,214,185,218,248,255,227,187,163,137,105,79,86,88,84,97,200,208,219,228,235,240,245,249,253,255,255,246,228,225,181,211,228,246,215,178,153,130,93,78,80,94,77,84,200,208,220,229,234,240,245,251,248,255,255,249,233,219,182,184,221,219,202,164,144,113,91,80,66,88,91,76,199,207,220,228,233,238,244,250,250,246,255,251,235,212,184,163,205,203,185,157,138,86,74,95,68,71,92,84,200,210,221,228,234,239,244,249,255,244,255,255,238,213,185,161,181,197,172,150,123,64,58,87,86,64,79,88,201,211,222,229,235,240,245,250,254,247,255,255,229,205,187,163,169,180,165,137,108,76,48,69,91,78,66,85,201,210,222,229,236,240,245,249,255,239,255,238,210,210,195,170,161,168,166,125,87,93,50,54,82,90,70,73,198,207,216,223,230,237,243,250,247,205,255,241,222,228,205,171,156,161,162,110,66,93,65,45,71,90,81,72
16,67,67,68,69,70,81,91,102,111,118,125,131,134,135,137,142,147,151,155,158,162,165,166,169,171,173,176,178,66,66,68,68,70,81,92,102,111,118,126,132,133,135,137,140,146,151,155,160,162,165,167,170,172,173,177,179,65,65,67,67,69,81,92,102,109,118,126,131,133,132,137,140,143,149,154,158,160,164,165,169,172,174,176,178,65,65,68,67,69,82,91,101,111,120,126,130,132,133,132,142,148,149,152,157,160,163,164,169,172,173,176,178,65,65,67,67,71,82,92,101,110,115,122,124,147,153,123,109,130,154,159,156,158,163,167,169,172,174,177,179,65,64,66,65,70,81,91,102,105,126,134,150,170,149,125,102,81,92,131,161,165,164,166,169,173,175,177,178,63,64,65,64,68,79,92,92,124,179,166,168,156,128,110,107,89,69,60,93,141,161,170,173,173,173,176,178,64,64,65,65,67,80,88,96,175,174,154,145,137,119,103,88,86,79,66,59,65,89,117,145,170,179,176,178,62,63,65,63,67,77,87,170,175,141,133,127,116,106,87,77,80,85,71,69,64,60,60,69,100,148,178,183,61,62,65,62,68,64,129,180,138,127,118,105,93,82,75,75,68,92,79,76,70,64,60,58,57,69,112,164,56,55,57,56,58,113,144,134,121,114,96,83,74,67,72,61,60,88,87,95,74,68,60,57,60,60,55,77,102,97,99,92,122,165,126,115,109,90,75,70,59,63,67,39,63,90,95,97,79,72,60,57,56,59,62,55,94,98,98,96,182,165,130,102,81,73,66,55,51,63,47,26,76,92,96,99,84,76,63,62,56,56,59,59,90,95,78,127,186,151,114,82,57,54,47,42,52,46,16,24,80,89,94,109,98,87,70,64,55,55,57,56,100,95,103,176,159,131,87,62,45,50,35,25,20,11,4,12,76,85,100,124,116,97,83,58,53,56,55,52,101,86,149,157,125,97,66,48,41,44,19,4,1,0,1,3,65,86,107,133,105,101,90,53,51,53,52,50,91,116,169,131,90,64,51,44,45,43,27,1,0,0,0,0,41,79,126,124,82,103,90,49,51,48,51,50,92,165,152,103,65,41,41,47,51,51,53,35,1,4,10,12,7,100,145,99,74,94,72,49,51,49,51,47,132,154,109,69,50,69,53,52,55,57,56,50,31,33,34,20,46,151,123,80,69,70,52,48,48,49,46,44,160,106,71,39,75,95,68,77,67,64,59,51,46,45,41,26,125,143,102,69,57,50,44,49,47,45,47,51,117,73,40,61,91,73,73,73,70,64,59,52,44,43,24,70,162,125,85,56,47,42,43,45,41,46,53,53,76,46,63,97,97,92,90,74,63,56,61,47,46,59,64,133,163,128,65,45,42,45,46,44,46,51,50,50,81,81,96,97,99,99,98,97,90,85,91,87,90,99,93,163,166,133,61,29,37,50,48,47,48,49,51,51,100,98,96,96,98,99,98,100,99,101,99,101,101,99,95,165,171,138,74,37,80,63,58,54,52,54,53,54,97,95,96,97,98,98,98,98,97,98,99,99,99,101,91,141,156,125,65,84,126,74,68,68,66,64,57,54,96,97,95,97,99,97,96,97,98,99,98,99,100,102,95,108,132,93,62,91,134,114,80,72,77,78,69,57,97,97,96,96,98,98,97,97,98,98,97,97,101,100,98,99,104,79,77,92,114,148,112,98,94,93,83,71,96,97,97,97,98,98,97,98,98,98,98,99,101,100,100,100,100,99,100,96,97,159,136,119,110,102,93,81
6,255,255,255,255,255,255,255,255,255,255,255,254,251,250,249,246,245,243,243,241,240,238,236,233,233,230,226,223,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,250,249,247,246,244,242,240,239,237,235,233,231,228,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,251,250,247,244,243,242,239,238,234,231,230,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,252,250,249,249,248,246,242,239,234,232,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,245,241,238,230,223,224,223,235,238,255,255,255,255,255,255,255,255,255,255,255,255,255,254,243,233,223,205,184,188,197,197,179,188,250,229,206,242,255,255,255,255,255,255,255,255,254,225,212,201,204,201,195,185,185,180,161,188,186,174,177,177,215,188,190,245,255,255,255,255,255,255,255,240,211,186,182,191,194,205,205,200,179,164,150,141,131,139,144,135,152,188,234,243,255,255,255,255,255,251,229,224,213,180,153,163,171,163,145,140,120,113,133,165,189,213,225,240,252,254,248,244,255,255,255,255,236,216,222,217,200,172,124,108,84,123,202,210,220,228,253,255,255,255,255,255,253,250,248,248,255,255,255,230,211,218,222,218,215,204,164,102,64,111,205,247,255,255,255,255,255,255,255,255,255,253,251,249,255,255,236,217,224,230,230,230,232,213,142,86,84,77,70,79,113,249,255,255,255,255,255,255,255,255,253,251,255,225,225,235,234,235,232,218,225,169,90,74,79,85,89,87,56,153,255,255,255,255,255,255,255,255,255,251,219,224,238,236,232,233,213,206,214,166,123,83,55,72,81,89,81,65,245,255,255,255,255,255,255,255,255,252,226,231,237,239,236,218,206,215,216,219,195,122,67,66,65,66,80,156,255,255,255,255,255,255,255,255,255,254,229,231,239,239,228,208,208,212,208,216,182,105,76,76,81,58,197,255,255,255,255,255,255,255,255,255,255,255,228,237,239,225,211,205,203,198,194,189,145,80,65,71,82,47,194,255,255,255,255,255,255,255,255,255,255,255,231,229,213,210,212,206,205,190,174,175,161,107,54,64,59,136,255,255,255,255,255,255,255,255,255,255,254,253,216,201,199,207,201,189,177,168,173,193,200,134,74,84,56,208,255,255,255,255,255,255,255,255,255,255,255,255,201,201,201,190,172,166,166,175,185,198,184,115,76,72,49,213,255,255,255,255,255,255,255,255,253,225,179,133,201,198,185,172,167,168,167,161,157,152,111,66,79,90,188,255,255,255,255,255,255,255,255,206,117,81,70,67,184,168,153,164,167,164,143,118,99,84,79,165,242,255,255,255,255,230,212,153,134,136,121,80,73,77,58,66,138,107,98,125,137,129,105,88,93,146,216,255,255,255,255,255,165,101,89,46,58,57,51,62,55,68,56,40,84,63,82,111,113,109,103,109,130,156,158,147,150,157,156,126,90,82,80,60,41,64,47,54,45,49,50,32,67,87,150,146,146,147,147,144,143,138,136,136,117,101,82,71,69,67,52,67,30,52,43,41,44,46,38,33,63,125,166,152,153,161,155,148,155,155,156,138,85,63,73,66,55,57,52,59,36,35,41,36,40,44,30,38,71,137,149,146,148,150,146,144,146,141,117,77,68,46,57,63,49,48,46,49,42,22,37,34,39,42,25,39,82,145,145,147,152,149,145,147,137,108,90,49,58,49,42,60,43,43,38,41,43,20,33,34,38,39,27,38
13,212,216,218,219,221,221,224,226,226,225,225,226,226,227,230,227,227,230,228,228,227,227,227,228,228,228,228,227,215,217,220,221,224,225,227,227,227,227,227,227,227,228,221,229,234,229,229,230,229,229,231,231,230,231,229,228,218,220,222,223,224,226,228,227,228,231,236,232,236,229,179,142,214,237,230,229,232,232,233,233,234,234,232,232,218,221,226,226,227,229,230,229,230,227,208,215,248,234,186,101,173,251,233,240,234,236,236,235,235,236,235,235,219,223,225,226,229,232,233,229,250,231,171,144,215,231,184,109,151,173,156,198,241,236,236,235,234,235,236,235,221,224,227,229,231,233,233,226,255,251,196,140,207,236,171,104,127,189,136,90,216,245,238,238,236,237,237,237,224,224,228,231,231,230,237,200,152,192,219,146,198,233,161,97,202,214,152,85,170,254,239,240,240,242,241,240,226,228,230,233,231,241,248,199,154,117,201,144,188,255,160,129,222,187,145,87,175,254,239,242,242,243,243,242,228,232,234,232,242,242,240,221,176,117,170,160,154,221,142,133,230,193,137,79,202,253,241,243,245,244,244,243,229,233,235,235,249,207,219,229,172,116,133,180,106,71,77,144,244,199,118,89,225,248,243,245,244,245,244,244,230,233,233,242,248,214,190,214,176,111,110,171,122,28,86,184,191,132,81,109,247,246,246,246,244,246,247,246,234,235,236,253,243,208,167,219,171,113,104,149,127,52,78,196,211,165,107,158,255,246,249,248,247,247,247,247,234,235,237,255,246,209,156,204,165,113,96,149,136,97,199,199,194,187,157,128,247,250,250,250,249,248,248,249,234,236,240,255,236,200,151,175,169,123,94,196,165,162,242,215,185,155,138,100,204,255,250,251,250,250,250,250,236,236,242,255,237,210,184,157,163,160,77,176,196,229,231,207,180,139,120,102,218,255,251,252,252,251,251,250,236,237,246,255,239,216,197,165,134,118,92,202,243,251,227,195,168,133,112,116,247,253,252,254,254,252,252,251,237,237,247,255,240,215,198,190,150,135,161,248,249,249,216,182,155,126,104,145,255,252,255,254,255,253,252,253,238,238,245,254,241,220,206,200,163,150,155,235,250,235,193,164,141,118,100,205,255,255,255,255,255,254,254,254,239,239,241,245,243,225,209,203,176,148,156,237,247,216,181,152,131,104,143,255,255,255,255,255,255,255,255,255,239,239,240,245,246,227,209,203,181,151,172,221,235,196,172,141,124,97,211,255,255,255,255,255,255,255,255,255,237,240,241,246,246,228,208,198,180,150,180,212,204,177,159,133,113,120,252,255,255,255,255,255,255,255,255,255,237,241,239,247,246,218,203,187,162,149,188,192,174,164,144,127,99,184,255,255,255,255,255,255,255,255,255,255,238,241,233,249,237,208,199,172,154,158,191,176,163,156,135,113,132,250,255,255,255,255,255,255,255,255,255,255,237,237,233,255,230,212,200,172,166,176,194,170,161,139,124,109,221,255,255,255,255,255,255,255,255,255,255,255,238,232,241,255,233,225,203,172,178,192,177,158,147,123,100,174,255,255,255,255,255,255,255,255,255,255,255,255,239,231,244,249,228,230,209,181,189,184,163,144,128,108,116,244,255,255,255,255,255,255,255,255,255,255,255,255,242,226,242,234,213,214,200,177,176,178,152,125,121,91,182,255,255,255,255,255,255,255,255,255,255,255,255,255,180,199,247,225,203,184,177,164,174,184,136,121,115,98,212,250,248,252,254,255,255,255,255,255,255,255,255,247
1,63,65,69,73,84,101,114,119,122,127,133,137,140,143,150,150,151,154,155,156,157,159,160,160,161,162,162,162,63,66,70,75,87,103,116,121,124,130,136,139,143,156,137,153,156,154,155,156,157,159,160,160,160,160,161,161,65,68,72,76,89,106,119,124,128,136,139,140,156,182,102,129,146,157,157,157,158,159,160,160,160,160,161,160,65,69,73,77,92,109,122,127,132,138,150,143,148,189,98,110,115,136,166,161,161,161,161,161,161,162,161,161,66,69,74,78,94,113,125,130,137,139,179,152,115,189,97,114,129,102,172,166,166,166,166,165,164,164,163,162,67,71,75,79,97,116,128,133,141,142,183,159,107,175,96,108,139,85,164,172,171,171,171,170,168,168,167,167,69,72,76,82,101,118,130,134,144,144,187,161,96,169,114,108,145,87,157,181,175,175,176,175,173,173,172,171,69,73,77,85,105,122,133,138,148,153,178,164,89,144,113,110,159,95,147,188,180,181,180,179,178,177,175,174,70,74,77,87,108,125,135,137,162,160,153,166,87,123,113,98,154,95,144,193,184,185,185,184,182,181,180,179,71,75,78,90,112,128,139,137,187,152,142,163,87,139,124,95,174,113,141,198,187,189,189,188,187,186,186,185,72,76,79,92,115,132,141,141,194,135,137,176,95,132,124,96,182,127,136,202,192,193,193,192,191,190,190,188,74,77,79,94,118,134,142,148,196,127,123,176,89,99,112,96,177,130,126,205,195,196,195,195,195,194,193,192,76,79,81,97,120,137,144,154,201,133,98,164,97,100,111,129,159,118,120,208,198,200,199,199,198,196,196,195,76,79,81,100,123,140,147,158,207,144,77,178,169,133,135,150,135,93,110,207,201,203,202,201,199,199,200,199,76,78,81,103,126,143,149,161,204,135,114,151,139,127,131,123,119,117,94,198,207,204,205,205,204,202,201,201,76,78,83,105,128,145,151,167,208,159,149,114,106,128,131,108,128,153,120,149,216,206,208,208,207,207,206,206,76,78,84,108,131,149,152,177,215,167,134,104,118,112,137,150,171,182,169,112,173,218,208,210,208,208,209,209,77,79,86,112,134,152,153,187,218,161,121,102,119,128,167,210,181,183,187,118,99,208,213,212,211,211,210,208,76,79,87,114,137,155,155,191,220,162,115,109,126,141,187,212,216,190,150,98,88,191,220,212,212,212,219,223,77,79,89,118,140,157,158,188,225,170,116,114,132,158,194,208,212,183,133,93,93,206,217,216,226,220,189,139,78,78,91,120,142,159,159,185,222,182,130,113,141,166,202,214,204,172,129,89,106,220,221,215,160,102,60,42,77,78,93,123,145,161,163,184,219,198,149,117,144,164,207,216,190,159,124,84,125,236,202,100,43,40,46,44,76,77,95,125,146,161,165,180,209,200,163,127,140,166,208,207,183,151,116,76,158,198,81,53,55,31,49,47,74,75,95,125,148,161,164,177,195,199,171,141,143,163,202,197,175,140,109,82,118,69,34,48,65,30,30,55,75,75,97,128,151,163,167,179,187,196,178,153,151,149,193,183,166,128,100,80,68,56,50,27,53,49,18,40,69,70,95,128,153,165,170,181,189,192,179,158,154,138,170,169,148,115,93,72,77,61,48,28,30,59,25,22,86,86,104,131,151,163,170,180,190,191,179,163,156,140,143,159,136,106,82,67,77,63,41,33,20,44,42,15,114,116,114,112,116,122,126,130,131,145,188,168,159,142,129,145,128,99,71,62,73,52,50,30,19,29,50,19
0,202,200,201,201,202,201,201,200,201,201,201,201,201,200,200,200,199,199,198,197,196,195,195,195,194,192,192,192,204,204,203,203,204,204,203,203,203,203,203,202,203,202,201,201,200,199,199,199,198,197,197,197,195,194,193,193,205,206,205,205,205,206,205,206,205,204,204,204,204,203,203,202,201,200,200,199,199,198,198,198,196,194,194,193,205,206,206,206,206,205,205,206,206,205,206,205,204,203,204,204,203,202,202,199,200,200,199,198,198,197,196,195,206,206,206,206,206,206,206,206,206,206,207,207,206,205,205,208,205,204,206,205,201,200,200,200,199,198,197,197,208,208,208,207,206,207,206,206,207,207,207,207,206,207,202,189,203,209,190,187,206,182,178,205,199,199,199,198,208,208,208,208,207,207,207,207,207,207,207,210,211,204,174,142,140,178,157,134,152,185,134,200,202,200,200,197,209,209,209,209,209,209,209,209,210,213,209,192,172,182,171,148,110,116,161,136,106,184,134,168,212,199,201,199,209,209,210,210,209,209,208,209,194,194,200,175,131,114,167,154,133,123,162,141,109,166,161,114,192,207,199,201,210,211,211,211,210,210,208,198,166,128,184,171,140,105,160,161,144,121,168,144,102,142,172,124,121,191,204,200,211,211,211,211,211,211,199,193,171,132,171,177,150,115,155,166,136,119,172,146,97,109,176,152,111,135,214,199,211,212,212,212,213,209,189,187,181,149,157,185,149,118,138,168,133,106,152,134,91,111,181,159,104,142,215,200,213,213,213,212,213,204,178,171,181,156,144,178,145,116,124,167,132,83,101,101,78,152,187,153,95,183,209,202,214,214,212,212,212,200,193,160,167,153,120,163,150,124,97,121,102,61,85,86,120,182,181,131,115,211,204,205,215,214,213,214,210,195,178,136,143,120,84,136,144,117,72,70,82,118,153,139,166,183,165,106,154,216,204,206,215,215,215,217,207,193,184,154,128,99,78,91,108,82,68,96,152,184,181,171,154,171,145,89,190,212,205,206,215,216,215,218,205,196,194,174,142,126,112,114,122,126,145,173,188,183,176,172,141,140,114,98,213,208,207,206,216,216,215,218,204,196,200,179,156,139,131,139,163,184,191,194,195,185,171,162,127,113,81,162,218,208,208,206,216,216,215,218,205,190,201,182,162,137,138,146,184,195,196,198,193,175,161,149,119,76,132,218,209,209,209,208,215,216,215,217,209,183,194,184,167,148,144,159,196,198,196,198,184,164,148,135,88,110,216,211,210,210,211,209,215,216,215,215,215,185,190,189,172,163,153,171,194,198,197,187,167,154,138,108,88,201,214,210,209,210,209,208,216,216,215,215,220,193,181,191,183,172,154,173,191,192,189,174,153,140,122,80,174,219,207,211,210,209,208,207,216,217,217,215,218,205,177,187,182,168,153,167,185,179,172,156,137,124,81,142,222,209,212,211,210,209,208,207,216,216,216,217,217,215,183,184,175,162,153,161,177,168,156,139,120,81,117,218,213,213,211,210,210,210,210,209,216,216,216,217,218,213,189,184,169,156,154,157,171,162,141,127,87,111,214,214,213,214,213,211,211,211,210,209,215,215,215,215,217,207,188,182,175,172,168,160,166,158,132,102,88,209,217,213,214,214,213,212,211,211,210,209,219,218,219,218,221,191,187,189,185,181,172,163,162,147,118,80,149,227,212,216,214,214,215,213,213,212,209,207,188,191,194,196,199,179,190,196,188,179,172,164,150,128,108,83,187,219,214,216,216,215,213,213,212,211,209,208
19,108,115,121,127,131,133,135,138,142,145,148,151,153,155,158,159,160,161,163,165,166,167,168,168,168,169,169,169,109,116,123,129,131,134,137,139,144,147,150,153,156,158,159,160,163,164,165,166,169,169,169,169,168,171,170,170,110,118,125,130,133,135,138,142,146,149,153,154,157,159,159,162,164,166,167,168,169,170,176,161,168,171,171,171,113,120,126,131,135,137,139,144,148,150,164,158,138,149,163,164,165,168,169,170,170,184,186,119,155,172,172,172,114,121,128,133,136,138,142,146,150,152,190,166,127,111,157,166,166,169,177,180,187,181,135,108,163,174,174,173,115,122,130,135,137,139,143,148,151,151,184,179,141,129,164,177,170,174,185,181,162,126,107,151,175,176,175,175,116,123,131,137,138,142,151,142,145,153,171,181,172,174,172,170,162,149,157,142,113,121,158,177,176,177,177,177,118,125,132,137,138,173,177,150,142,147,161,167,160,149,142,144,133,115,116,121,148,174,178,178,178,178,178,179,119,126,134,137,147,190,162,149,152,160,168,166,157,145,138,122,119,103,159,174,179,179,180,179,179,180,180,180,119,127,135,135,159,176,144,141,149,162,166,163,161,152,130,96,90,116,181,181,180,181,181,180,181,181,182,182,120,127,135,137,180,180,155,153,158,155,146,142,139,119,105,87,78,139,183,182,182,182,182,181,183,183,183,183,122,129,136,146,208,191,170,165,165,160,157,150,130,89,84,84,82,159,184,183,183,183,183,183,185,184,184,183,124,130,136,150,203,186,164,149,141,148,149,142,117,86,81,86,93,170,183,184,186,186,186,185,185,185,186,185,124,132,137,148,187,179,152,128,108,103,114,117,114,89,84,86,115,181,184,185,186,187,187,187,187,187,187,186,125,133,138,146,180,179,150,106,88,64,71,110,119,92,87,87,113,184,185,186,187,187,188,189,189,189,188,187,127,135,141,144,178,181,151,112,81,56,92,115,110,85,82,82,96,176,187,187,188,189,190,190,190,190,190,190,126,135,142,141,179,180,152,122,96,71,71,74,69,68,76,84,93,172,189,189,190,190,190,191,190,191,190,190,127,136,142,140,184,182,154,127,102,88,79,65,65,73,79,85,96,174,189,189,190,191,191,190,191,191,190,190,129,137,142,138,183,181,153,125,104,95,92,77,71,75,81,84,106,181,188,190,192,193,193,192,192,193,192,192,130,137,143,136,175,173,149,123,103,95,91,80,74,79,84,86,128,189,189,192,193,193,193,193,194,194,193,193,131,137,143,140,173,167,144,117,101,94,91,82,79,84,87,91,160,192,191,193,193,194,195,195,195,195,195,195,132,139,144,148,176,164,139,114,99,93,93,88,85,87,88,120,184,190,192,194,194,195,195,195,195,195,195,195,132,140,143,154,180,162,135,111,98,95,96,91,87,89,128,177,190,191,193,194,194,195,196,195,195,195,196,196,133,141,143,159,173,158,136,116,101,96,95,91,84,121,180,188,190,192,194,195,195,196,196,196,197,197,197,197,134,141,144,166,168,150,132,116,100,90,87,86,88,156,187,189,192,193,194,196,197,197,197,197,198,199,198,198,134,141,148,180,165,146,124,108,95,84,81,82,97,171,188,191,193,194,195,197,197,198,199,199,199,199,199,199,134,140,154,184,168,150,130,117,113,89,80,79,107,179,187,191,192,194,195,196,197,198,199,199,199,199,200,200,135,143,152,174,170,153,136,127,119,90,80,77,109,181,186,188,191,193,195,196,196,197,198,198,199,199,199,200
8,113,117,119,122,123,126,128,129,130,132,134,134,134,135,135,135,135,134,134,133,132,132,132,130,130,130,128,128,114,118,121,123,125,127,129,131,133,134,135,135,136,137,137,136,136,136,136,136,135,134,133,133,132,131,129,129,115,119,122,124,127,128,130,133,133,136,137,137,138,139,139,138,138,137,137,137,137,136,135,135,134,132,132,132,116,120,123,126,129,130,132,135,137,137,138,139,140,140,139,140,139,139,139,139,140,138,137,135,135,134,134,133,118,122,124,128,130,131,139,125,121,143,140,140,141,140,140,141,141,140,141,141,140,139,138,137,137,136,135,134,119,123,126,129,131,131,149,120,85,141,141,142,142,142,142,142,142,143,142,142,141,140,140,141,140,138,137,136,120,125,128,130,133,130,148,130,71,127,146,142,144,144,144,144,144,144,143,143,142,141,141,141,140,139,138,137,121,124,127,130,133,132,146,145,71,114,149,144,146,145,144,146,146,145,145,144,144,144,142,142,141,140,140,140,122,125,128,132,134,135,140,143,75,99,153,145,146,148,149,146,146,147,149,145,144,144,144,144,142,141,141,140,123,127,129,133,136,138,138,154,108,84,150,147,146,133,128,149,147,122,118,151,148,149,144,145,145,143,142,140,123,127,130,133,136,139,138,157,124,70,135,150,160,146,107,123,163,126,81,116,123,121,148,145,146,145,143,143,125,128,130,134,136,140,139,152,130,88,108,153,173,170,129,83,156,135,127,87,88,82,101,154,145,145,145,145,126,129,132,135,138,142,141,150,153,116,100,143,168,176,149,81,120,138,135,124,103,101,75,133,149,145,145,145,126,130,133,135,139,143,145,146,158,114,110,137,141,167,152,90,91,132,104,142,144,145,132,81,131,151,145,145,128,132,135,137,141,143,146,145,156,140,128,152,143,144,152,96,69,116,67,116,141,145,139,78,107,157,145,147,129,133,136,139,141,144,146,145,163,170,126,124,138,124,151,113,66,89,69,78,122,147,138,80,101,159,147,148,130,133,137,140,142,145,147,145,163,151,102,106,115,99,134,159,94,66,64,74,139,161,147,82,98,159,147,148,131,134,138,141,143,145,148,147,160,160,124,104,99,93,109,124,88,77,58,80,145,165,148,83,98,160,148,151,130,134,138,141,144,145,148,148,163,174,142,109,98,100,88,115,125,90,75,122,147,166,140,80,86,159,150,152,131,135,140,142,145,145,149,147,168,172,143,118,93,84,92,142,150,129,137,154,142,143,115,74,73,157,151,151,133,137,140,143,146,146,151,148,169,171,149,133,111,84,94,136,156,172,165,149,130,111,94,62,92,160,150,152,133,137,140,143,146,148,151,149,172,171,151,139,123,95,89,132,173,176,168,147,119,90,75,54,137,157,152,152,133,138,141,144,147,150,152,150,169,172,156,140,133,107,102,140,177,172,155,136,108,77,49,92,162,152,153,152,133,137,141,144,146,148,152,152,164,175,162,149,141,117,104,153,172,157,136,117,92,64,52,145,158,155,154,152,132,136,140,142,145,148,151,151,158,174,165,152,144,125,106,152,162,141,122,99,80,48,96,162,153,154,153,151,133,137,141,143,146,149,152,152,156,174,169,154,140,117,104,144,144,130,116,91,66,54,150,157,155,153,153,152,134,137,141,145,146,149,151,153,157,177,163,145,126,100,106,137,123,112,106,86,45,110,165,155,156,155,155,153,134,139,141,145,147,148,152,150,158,178,157,142,114,107,113,130,113,99,96,66,71,160,157,156,156,156,155,153
12,154,157,161,164,167,170,171,174,177,179,182,185,189,191,189,188,192,193,194,195,194,195,193,194,194,197,197,197,155,159,163,166,169,171,174,176,179,181,185,188,190,193,195,196,193,193,188,186,199,197,197,197,197,198,198,198,157,162,165,168,170,173,176,178,180,183,188,189,190,174,149,175,201,200,172,128,144,208,202,203,205,199,201,198,159,163,166,169,172,176,177,180,183,186,186,194,213,180,150,120,205,212,179,147,89,192,177,168,182,206,201,203,160,164,168,171,172,176,178,182,184,188,185,207,233,201,181,116,169,223,171,161,110,103,150,145,107,174,211,201,162,165,170,172,174,177,181,184,186,189,188,212,235,214,180,125,165,230,174,163,104,77,169,148,106,90,212,203,163,167,171,174,177,179,183,186,187,190,191,211,235,230,190,145,163,236,183,159,86,97,184,142,94,62,190,211,165,169,172,175,178,181,184,187,192,192,192,197,185,223,204,155,148,226,174,137,67,112,187,137,90,59,176,217,167,171,173,176,179,182,186,188,191,191,208,174,115,149,199,133,129,198,146,125,72,101,173,135,94,58,172,220,167,170,175,178,180,184,187,190,189,215,214,151,122,93,160,119,110,179,139,127,76,96,161,134,99,53,172,223,170,172,175,179,181,185,189,186,210,213,196,164,141,92,113,120,85,167,138,106,73,96,166,139,99,55,190,216,170,174,177,179,182,185,189,191,211,170,192,183,141,103,71,115,104,145,165,121,82,127,212,167,106,69,214,211,170,175,178,180,184,187,189,199,213,166,172,175,135,109,57,113,126,139,191,140,86,147,219,176,84,60,206,216,171,176,179,181,185,189,189,203,206,176,144,163,143,107,51,72,111,77,138,134,59,119,163,99,78,76,115,222,173,177,179,182,186,190,189,208,207,176,136,167,137,93,68,27,40,15,107,171,153,176,161,127,111,97,82,206,174,178,180,184,187,190,189,211,211,176,141,150,130,88,76,33,41,82,189,208,202,187,170,136,109,88,94,212,175,179,182,185,188,190,191,212,209,175,139,126,129,99,90,43,67,155,208,205,200,177,157,126,102,78,110,226,176,179,183,186,189,193,194,213,209,184,161,128,109,118,91,66,125,205,210,218,195,166,146,121,97,73,127,231,176,180,182,186,190,193,193,213,208,191,174,158,128,110,113,137,175,221,218,224,185,155,137,110,91,74,178,227,177,180,183,188,191,193,193,211,213,198,179,170,163,140,143,161,175,222,221,212,169,142,128,106,80,106,222,219,177,180,183,187,190,194,195,205,211,203,185,177,175,158,143,151,170,227,217,192,161,134,118,100,71,147,230,216,176,179,183,185,189,194,197,201,203,200,191,182,176,163,147,139,178,226,208,176,153,126,105,94,71,184,228,218,177,179,182,186,191,195,197,198,194,197,193,184,179,164,145,132,176,209,194,155,136,115,96,83,88,215,221,219,177,179,184,187,191,194,196,198,199,200,197,186,178,163,148,126,169,190,170,139,122,101,92,70,142,228,218,221,177,180,184,189,192,194,196,199,201,204,192,180,172,154,137,120,163,168,141,127,106,90,84,84,205,222,219,221,177,180,184,187,192,195,197,199,197,202,181,161,154,135,113,121,153,152,127,118,98,91,76,152,228,219,219,220,177,180,185,187,191,195,197,196,196,206,173,155,144,117,115,123,149,146,125,111,97,83,96,214,221,219,220,220,177,181,185,190,193,195,200,192,203,211,175,166,147,126,130,134,155,140,124,99,88,72,155,225,219,221,222,222
4,108,119,131,135,140,144,147,149,151,153,156,158,159,161,163,164,167,166,168,169,169,170,171,170,171,171,171,172,108,122,132,137,141,144,148,150,152,155,158,158,161,163,163,166,165,168,170,171,173,172,172,172,173,173,173,173,110,124,132,137,142,145,149,151,153,155,156,158,154,158,169,172,149,140,167,163,160,175,173,174,175,175,175,174,112,125,134,139,143,146,150,154,154,151,164,187,159,142,169,185,146,105,137,156,111,133,178,174,175,175,176,176,113,126,135,139,144,147,150,154,159,165,147,164,187,144,133,174,135,101,103,139,116,94,167,180,176,177,178,178,114,129,136,141,144,147,152,151,181,178,155,131,145,137,111,144,125,94,104,141,116,85,162,182,177,178,179,179,116,129,136,141,145,148,149,163,191,184,167,146,105,108,105,159,137,83,139,145,102,86,175,180,178,179,180,180,118,130,137,142,146,149,148,178,166,159,163,127,99,92,103,167,135,123,161,126,81,103,184,180,179,181,182,181,120,131,138,143,147,150,150,187,152,147,153,103,89,97,82,119,143,173,156,140,102,120,190,179,181,181,182,182,123,132,138,143,147,149,157,193,162,162,143,107,78,119,131,144,158,157,141,148,130,122,183,182,182,183,183,183,124,133,137,143,150,149,167,187,149,138,133,111,68,143,159,146,146,128,142,162,146,125,136,188,181,186,185,184,126,133,138,145,149,146,177,179,144,124,113,88,69,85,118,120,115,89,140,167,161,149,112,151,191,184,187,187,126,135,139,146,150,150,194,182,152,135,118,100,82,76,82,87,107,142,144,161,170,153,129,105,175,188,187,186,128,135,139,146,149,156,204,176,156,144,118,101,91,101,125,147,174,185,172,163,153,147,138,107,142,194,186,187,131,135,140,148,147,165,209,181,169,146,117,113,101,130,168,183,189,183,167,156,137,127,131,105,149,194,187,188,132,136,140,148,145,176,209,184,166,137,122,120,113,161,184,189,191,188,165,146,127,113,111,114,182,188,189,189,131,135,141,149,146,179,208,181,157,136,134,123,134,177,182,187,189,177,155,137,121,109,99,158,194,188,190,189,132,135,141,149,145,181,205,176,160,152,147,135,156,177,181,184,180,162,145,127,116,99,123,193,189,190,191,191,133,136,142,148,147,179,199,180,174,167,154,149,170,175,180,175,163,152,133,121,109,100,177,194,190,192,192,193,133,136,143,149,148,170,199,187,182,167,152,147,165,170,169,159,148,139,123,115,98,145,198,190,190,192,193,193,134,137,144,150,150,162,196,182,177,165,148,135,149,157,157,149,137,128,118,102,117,191,191,191,191,193,193,193,133,139,145,150,153,159,193,176,165,156,141,135,144,153,151,139,125,119,108,100,173,194,191,193,193,194,194,194,133,139,145,149,154,156,187,167,156,148,137,143,140,147,149,134,121,114,93,150,196,190,193,193,194,194,194,195,134,139,145,150,153,164,187,168,158,153,154,158,139,134,140,125,115,99,119,192,190,192,194,194,195,195,195,195,134,139,146,150,157,195,173,163,166,158,157,149,134,126,130,119,110,94,166,194,191,193,194,194,195,195,195,195,135,140,147,147,186,194,191,132,143,165,150,140,131,120,120,114,106,93,180,192,191,193,193,194,195,196,196,197,135,142,143,163,201,187,193,180,102,135,141,131,125,110,113,109,100,95,184,191,192,193,194,195,195,196,197,197,135,141,145,193,190,189,188,197,160,90,117,127,117,99,108,105,98,93,182,194,192,193,195,196,196,197,197,198
20,119,122,125,128,129,131,133,134,135,136,137,137,137,137,140,141,139,140,140,140,140,141,141,140,141,141,140,138,122,125,128,131,133,135,136,137,139,140,141,141,139,152,123,131,146,142,142,143,143,144,144,144,145,144,142,141,125,128,131,133,135,138,140,141,142,143,144,144,144,172,107,103,145,145,145,146,146,146,147,147,147,146,145,143,128,131,134,136,139,141,142,143,145,146,147,146,150,172,110,93,119,120,155,148,149,149,150,149,149,148,147,146,131,134,138,140,142,143,145,146,148,148,150,150,153,170,107,111,137,92,156,151,151,151,151,152,152,151,150,149,134,136,140,142,144,146,148,148,150,150,152,152,156,171,111,122,148,86,149,156,154,154,154,155,154,153,152,152,135,139,141,144,147,148,150,152,153,154,154,153,159,176,115,123,158,90,145,161,156,157,158,157,156,156,155,154,137,140,143,147,149,151,153,154,155,156,158,154,165,173,116,122,168,96,137,165,158,159,160,159,159,159,158,157,140,142,145,148,150,153,155,157,159,159,159,157,173,176,119,128,169,103,127,168,160,162,162,161,161,161,160,159,142,144,148,150,153,155,158,159,161,162,160,137,164,187,117,132,178,110,121,172,162,164,165,164,164,164,162,161,143,146,149,152,155,157,160,160,156,168,180,139,125,145,101,121,182,116,120,174,164,166,166,166,166,165,164,163,145,149,151,153,157,160,161,166,157,141,178,161,105,86,74,107,157,116,117,175,166,169,168,167,167,167,167,165,147,150,154,155,159,162,162,172,179,138,140,161,127,123,99,96,128,113,114,177,169,170,170,170,169,169,169,167,148,151,154,158,161,164,166,163,161,141,112,152,144,155,140,91,92,103,105,176,169,171,171,170,171,170,169,170,150,153,156,159,162,165,167,162,135,138,100,161,144,148,145,98,71,79,102,178,170,172,173,172,173,172,171,171,151,155,158,160,163,166,167,169,162,140,117,120,109,82,146,122,82,62,96,178,172,175,175,175,175,173,172,171,151,155,159,162,164,168,168,176,156,114,85,60,61,50,127,152,104,67,80,177,176,176,176,177,176,175,174,173,153,156,159,163,165,169,171,176,158,128,99,84,83,87,144,176,129,87,74,169,179,176,177,178,177,176,176,175,154,157,160,164,166,169,170,177,171,132,105,97,109,149,187,168,132,104,77,166,182,177,178,179,179,178,177,177,155,158,161,165,167,171,170,178,174,141,114,116,126,175,186,159,120,95,81,174,181,178,179,179,179,178,178,177,155,160,163,165,169,172,170,179,181,156,133,122,131,182,172,146,110,81,86,181,180,180,181,181,181,180,179,179,156,160,164,167,171,172,171,178,186,163,136,131,136,183,166,133,104,79,89,183,181,182,183,183,182,182,181,179,156,160,165,167,170,172,173,174,180,160,147,151,137,180,162,122,95,76,98,185,181,183,183,183,182,182,182,180,156,160,163,167,170,171,173,172,168,161,147,152,131,171,148,115,90,70,108,190,181,182,183,183,183,183,182,181,157,160,165,168,170,171,172,173,170,162,147,149,120,152,131,102,90,68,126,190,180,182,183,183,183,183,182,182,158,161,164,167,169,172,173,172,174,165,141,131,103,134,115,98,91,74,162,186,182,182,184,184,184,183,182,182,158,162,165,167,169,171,174,171,176,166,143,118,108,140,107,106,79,110,187,182,183,183,185,184,184,184,184,183,158,162,166,168,170,171,174,170,178,174,154,134,129,139,99,101,70,156,186,182,183,185,186,184,184,184,184,182
0,222,223,225,224,225,227,227,227,228,227,226,225,225,226,226,227,227,225,227,227,226,227,228,227,225,226,226,225,224,226,227,226,226,228,229,228,229,227,227,228,228,228,226,226,228,232,228,229,229,229,228,228,227,229,228,228,227,227,228,228,228,228,229,229,228,229,228,227,229,228,240,226,185,197,235,222,224,234,233,231,229,227,229,229,227,227,228,230,232,230,228,230,230,229,233,233,200,189,244,220,184,155,158,178,166,207,227,182,216,233,228,229,228,228,229,230,232,231,230,231,232,233,255,244,202,163,205,228,197,183,108,159,167,145,200,153,192,241,229,231,227,229,230,230,230,232,231,238,217,201,255,241,212,180,197,249,201,190,125,181,182,148,170,160,183,244,231,233,228,230,231,232,232,232,235,255,217,167,211,255,219,188,183,255,218,196,131,197,187,140,139,162,157,247,230,234,230,231,232,232,234,229,250,255,225,195,186,255,229,188,169,255,223,193,126,200,184,127,124,176,116,227,238,234,232,233,233,233,231,248,245,243,238,210,165,242,237,183,150,254,224,179,109,163,169,118,113,184,107,166,248,233,232,233,234,233,234,252,214,234,250,216,157,213,244,181,129,217,214,163,102,134,153,109,115,188,120,139,246,235,234,234,236,231,245,245,200,211,244,214,156,179,234,175,117,177,198,154,109,119,141,97,131,199,135,143,248,237,234,235,235,233,245,239,207,197,222,194,146,148,211,166,112,138,190,149,106,119,144,106,181,214,147,146,249,239,231,233,232,237,247,226,196,165,203,189,141,125,199,164,103,113,188,148,96,139,153,126,215,209,148,154,250,237,230,232,232,232,255,244,207,155,170,192,130,114,191,168,102,107,195,147,156,216,185,145,205,215,149,164,249,236,232,234,233,234,255,246,212,170,129,166,157,111,193,187,113,116,192,195,215,213,195,162,157,201,140,169,251,237,234,235,234,237,255,250,224,191,150,137,165,132,187,199,172,209,224,222,211,198,177,162,141,144,121,163,252,237,235,235,235,237,255,255,232,203,186,174,167,187,205,217,235,237,235,225,208,192,167,148,140,122,105,157,253,237,234,235,234,238,255,255,239,219,205,194,183,183,207,223,235,234,235,227,204,186,166,142,129,123,98,182,252,239,233,233,234,237,253,253,246,232,223,203,192,187,199,220,232,233,228,221,198,180,161,138,125,108,141,238,245,243,238,240,240,233,248,254,254,245,228,207,192,190,201,225,234,235,222,213,195,177,155,135,111,126,231,243,241,242,197,201,208,199,231,254,255,249,228,211,195,189,200,229,236,228,215,206,190,168,145,126,109,215,253,245,249,248,124,125,131,116,175,255,249,242,229,214,201,187,199,225,225,212,199,190,176,155,135,117,133,198,199,202,199,198,131,132,133,121,142,253,236,229,229,220,208,186,195,222,217,199,180,165,154,143,124,122,128,125,120,117,140,179,130,132,133,129,134,246,226,223,231,222,205,186,189,219,214,190,157,137,131,123,123,133,127,126,156,207,249,249,129,130,130,131,133,238,225,224,232,218,204,193,187,212,207,177,136,121,116,123,131,136,166,214,255,255,242,225,129,130,129,133,127,239,240,227,229,212,199,196,182,193,194,160,122,115,116,122,147,225,255,255,255,252,245,223,130,130,130,131,123,236,248,236,228,211,200,202,179,182,186,150,116,111,114,175,253,255,255,255,252,255,255,247,131,130,131,132,125,226,246,243,227,210,200,203,176,174,182,146,114,96,178,255,255,255,255,251,245,255,255,255
4,100,102,104,107,109,112,116,118,119,120,124,125,125,128,130,130,130,131,131,132,133,134,133,133,133,133,132,132,100,104,105,108,110,114,118,120,121,122,124,126,128,128,130,133,134,131,133,134,133,135,135,134,135,135,134,133,102,106,106,109,112,115,118,119,123,124,126,131,127,136,126,98,118,139,131,134,138,136,136,137,137,136,135,135,103,106,107,110,113,116,119,121,122,127,120,115,131,157,137,99,79,125,117,87,122,141,136,138,138,137,136,137,104,107,108,112,115,118,121,120,132,153,126,109,110,154,140,122,95,83,119,82,70,135,140,139,140,139,139,139,106,107,108,111,115,119,124,117,149,177,150,135,95,126,153,123,106,65,109,100,67,104,147,138,140,140,139,140,106,108,109,112,117,120,121,120,142,162,172,150,114,95,157,131,106,60,105,105,70,98,149,140,141,142,141,141,107,109,111,114,118,118,131,138,128,126,139,158,116,70,121,137,93,57,98,104,65,95,149,140,141,141,142,141,108,109,112,115,120,115,154,169,153,142,112,96,94,59,76,104,72,57,83,89,58,105,149,141,143,142,142,142,108,109,112,116,120,116,159,156,153,148,110,62,63,60,51,80,58,37,59,57,51,122,148,143,145,144,143,143,108,109,112,116,121,120,151,107,103,117,86,57,50,71,39,68,74,87,109,65,44,136,146,143,145,144,144,144,110,111,112,117,121,122,146,93,53,87,92,61,49,65,66,84,122,149,133,87,56,109,151,146,144,146,146,145,110,112,113,117,122,122,146,109,86,72,99,73,72,105,112,121,140,146,113,82,75,64,95,141,150,146,146,146,111,112,114,118,123,121,145,123,103,75,70,57,73,126,105,116,124,113,88,78,81,79,67,73,122,151,146,147,111,114,116,119,123,122,143,134,95,69,58,49,43,83,84,86,83,78,69,76,80,80,80,70,63,140,150,147,112,114,116,120,125,122,141,142,104,87,73,62,48,41,59,74,78,71,59,65,78,86,80,76,66,126,153,146,113,114,116,120,125,123,139,152,126,92,77,66,57,52,70,106,110,107,101,85,82,97,81,74,77,139,152,147,112,115,117,121,125,125,137,151,126,101,95,77,66,59,88,131,142,143,137,117,99,92,81,73,102,152,149,149,112,115,117,122,125,126,135,154,128,120,109,83,71,66,95,146,151,146,133,112,96,80,75,77,135,153,150,151,114,114,118,122,125,126,133,150,131,128,109,78,73,72,95,148,142,134,125,108,89,79,73,94,154,151,152,151,115,115,118,122,125,129,131,146,133,122,102,75,78,77,96,137,128,123,118,101,83,79,76,120,158,151,152,152,115,114,118,122,126,130,131,144,134,119,97,77,85,84,107,129,121,119,108,91,79,79,85,143,154,151,152,153,114,115,119,123,127,129,132,140,139,118,94,89,102,91,109,121,116,111,92,80,78,77,112,156,152,153,154,153,115,115,119,123,127,130,133,136,137,117,102,106,105,93,92,104,100,93,80,76,77,87,144,154,154,154,154,153,115,116,119,124,127,130,134,136,140,125,109,106,98,86,76,82,81,77,75,81,77,114,158,155,155,155,154,154,114,115,120,123,127,130,134,135,140,137,108,93,86,78,75,76,76,77,78,82,68,121,160,154,155,155,154,154,115,117,121,124,128,131,134,137,138,141,110,81,73,72,73,80,78,78,78,79,60,106,162,153,155,156,156,156,116,117,121,124,128,131,134,138,138,137,121,88,80,83,83,84,81,76,77,75,63,92,160,154,154,156,157,157
0,193,195,197,199,200,203,207,206,208,209,210,209,210,212,215,212,215,216,215,216,216,216,215,216,217,215,216,216,194,197,200,202,203,205,207,209,209,210,212,212,213,216,217,216,216,217,217,217,218,217,218,218,217,217,218,217,194,197,200,205,207,207,209,211,212,215,215,215,217,219,217,216,219,220,218,217,218,220,220,220,220,219,218,219,194,198,202,205,206,208,210,212,214,217,216,218,219,217,217,221,221,219,219,220,222,222,219,222,222,222,221,223,198,201,204,206,207,209,212,214,216,215,220,222,220,228,234,215,215,230,244,214,218,249,193,217,226,225,225,223,201,203,206,208,210,214,214,215,214,230,255,214,189,255,246,194,168,244,251,205,179,249,192,185,233,222,224,225,201,204,208,210,212,214,216,222,216,255,255,225,156,211,243,213,153,183,249,215,155,213,222,162,220,227,225,228,204,206,208,212,215,213,252,241,197,255,251,239,175,195,243,225,165,182,253,219,142,161,234,182,166,210,232,227,205,207,210,214,207,237,255,244,194,233,255,237,193,193,244,230,163,195,252,203,147,101,214,211,184,150,206,234,204,209,212,214,208,255,255,255,214,210,255,234,195,183,255,236,148,197,243,177,131,56,172,231,209,141,180,244,207,210,214,212,222,255,255,255,228,191,255,236,187,181,255,229,138,150,200,160,97,74,217,241,216,147,200,242,208,211,214,208,239,254,242,255,231,176,238,232,178,166,240,209,140,107,165,151,64,136,252,239,206,147,230,238,210,213,216,209,255,255,237,239,188,134,199,207,167,134,179,174,130,96,170,144,109,225,247,227,165,160,243,236,211,215,215,230,255,250,202,214,157,108,169,182,159,103,138,158,92,131,218,221,228,228,222,196,145,188,246,237,212,216,208,245,255,252,211,192,175,126,150,193,169,84,112,156,179,249,255,245,227,199,182,167,138,203,244,238,217,220,212,236,255,255,239,197,176,145,153,215,164,80,139,244,255,255,251,236,213,183,158,150,125,225,243,241,218,220,217,238,255,255,250,228,199,179,186,203,183,206,255,255,255,252,240,221,192,164,151,128,175,249,239,243,217,222,217,244,255,255,255,242,229,197,205,226,254,255,255,255,255,242,219,197,171,155,134,157,245,243,243,242,217,222,217,243,255,255,255,255,244,225,220,242,255,255,255,255,249,231,203,173,152,139,131,231,247,245,245,243,218,223,219,242,255,255,255,255,250,237,229,236,255,255,255,250,241,214,181,154,141,120,201,253,243,245,245,245,217,223,225,237,255,255,255,255,242,227,225,227,243,255,246,228,216,195,159,147,115,176,255,245,247,248,247,246,219,224,226,226,255,255,255,251,234,217,219,224,235,237,220,203,183,165,145,114,156,255,247,248,248,248,247,247,223,230,232,226,255,255,255,246,231,215,226,234,238,229,207,185,156,134,99,127,247,252,249,249,250,250,247,249,202,191,190,173,177,184,167,155,149,143,158,161,156,150,135,129,120,100,112,249,254,246,251,250,251,252,250,250,151,138,139,131,116,114,111,96,88,72,66,56,48,51,46,45,51,56,90,181,248,252,250,251,252,252,251,250,139,143,139,134,127,121,113,98,89,77,72,57,52,49,46,42,40,44,44,24,168,255,248,252,252,252,250,251,151,140,143,138,129,115,109,99,84,77,67,56,49,47,43,38,40,40,46,26,198,255,249,252,252,252,254,254,167,143,144,136,129,116,108,95,80,76,65,56,49,46,42,38,37,41,30,87,255,250,252,252,253,253,255,255
11,116,120,127,133,137,141,145,149,152,154,156,162,165,148,156,159,159,159,159,158,158,157,156,153,147,161,171,177,119,124,131,137,141,145,150,153,157,159,159,167,172,134,150,162,162,161,160,159,159,158,157,154,156,165,175,181,123,128,136,143,148,152,156,160,162,164,165,175,183,128,140,166,166,165,164,163,162,161,159,158,162,151,172,184,128,133,141,149,154,158,162,166,169,171,172,182,187,125,133,170,171,170,169,168,167,166,164,162,164,165,177,182,131,137,147,154,160,164,169,173,176,178,179,188,186,122,134,175,177,176,175,174,173,171,169,167,166,165,159,174,135,141,152,160,165,170,175,179,182,185,186,197,189,122,141,182,183,183,182,181,179,177,174,172,170,163,157,175,138,146,157,165,171,176,181,185,188,191,193,210,187,117,150,189,190,189,188,187,185,183,180,177,175,172,171,183,142,150,162,170,176,181,186,190,194,197,200,216,179,115,161,196,196,195,194,193,191,189,186,183,181,178,179,191,146,154,166,175,181,186,191,196,199,201,207,200,144,110,168,201,201,199,199,198,197,195,192,189,186,183,183,195,150,158,170,179,185,191,196,200,203,205,211,188,123,106,173,205,205,204,204,203,202,200,198,194,191,188,187,197,153,161,174,183,189,194,200,205,212,200,164,155,131,115,179,209,209,208,208,207,206,204,201,199,196,188,180,195,156,165,177,186,192,198,203,208,220,191,125,112,132,122,176,212,213,212,211,210,209,208,206,203,198,164,132,177,158,168,180,189,195,203,205,181,172,167,133,106,124,120,163,212,215,215,215,214,212,209,206,203,191,127,85,117,161,171,183,192,201,214,212,167,125,127,141,111,109,115,144,208,218,218,217,215,210,200,189,183,162,98,70,70,163,173,186,199,213,209,190,174,145,112,122,109,99,118,129,197,221,220,216,211,206,188,169,158,132,86,68,64,165,176,190,214,212,170,138,150,159,116,98,97,92,130,137,176,212,217,215,210,199,174,145,123,100,73,61,61,167,177,194,217,196,144,107,105,143,117,91,96,84,127,144,138,181,212,213,192,160,126,92,69,61,55,54,57,168,179,193,209,178,127,93,82,121,119,97,106,87,115,142,134,173,197,181,139,102,77,56,48,48,48,50,47,168,180,191,203,175,130,99,84,102,118,108,123,114,144,154,143,160,155,119,80,58,58,54,44,42,45,47,34,168,180,191,206,187,144,113,92,94,110,129,152,157,177,157,130,124,97,62,52,46,48,54,48,38,37,37,33,169,181,193,210,195,157,127,103,101,119,164,198,200,180,143,112,84,59,43,42,47,44,46,49,42,35,33,33,169,180,193,210,200,169,137,112,113,130,184,211,196,163,125,91,48,39,46,39,44,46,41,42,44,36,31,32,156,165,176,198,200,176,145,123,123,135,181,200,177,141,110,76,38,27,44,44,39,44,42,37,39,38,30,30,123,125,131,162,192,181,153,136,130,134,167,185,163,127,93,61,42,23,36,47,41,40,41,36,33,36,30,25,115,115,117,139,182,183,160,145,133,128,152,166,146,109,66,41,45,25,25,43,45,40,38,35,30,31,31,24,116,117,118,132,179,184,165,149,132,119,134,138,115,77,41,30,45,33,19,35,45,41,37,35,30,28,28,27,116,117,118,130,178,188,167,147,129,115,119,114,83,43,29,29,42,41,21,25,42,41,36,35,32,27,25,24,116,117,118,125,172,185,159,138,125,115,113,101,66,31,18,28,38,46,28,19,35,41,35,34,32,27,24,22
18,71,73,76,80,85,90,95,101,107,114,120,125,129,132,134,136,139,143,145,147,150,152,154,156,158,159,160,162,71,73,77,81,86,91,95,101,108,115,121,126,130,132,134,137,141,144,146,148,150,152,154,156,158,159,161,163,71,74,78,81,86,91,96,101,109,116,122,127,131,133,135,138,141,145,147,150,152,154,156,157,159,160,163,164,72,75,78,82,86,92,96,102,110,117,123,128,132,135,136,139,142,145,146,150,154,156,157,159,160,161,164,165,72,75,78,82,88,93,97,103,111,119,125,129,133,136,137,141,149,143,135,141,154,154,150,154,161,163,165,166,73,75,78,82,88,93,98,104,112,120,126,130,141,140,133,146,164,140,119,121,154,156,132,125,149,164,166,167,73,75,79,82,88,94,99,106,113,121,126,138,168,149,124,147,164,144,134,141,166,155,124,102,113,153,167,168,74,76,79,82,89,95,99,106,115,128,128,153,185,155,130,152,160,147,149,154,155,138,126,110,95,131,167,170,75,77,80,83,90,96,100,107,135,156,134,140,174,159,141,139,143,139,139,140,129,126,132,123,103,111,159,172,76,78,80,84,90,96,100,114,171,181,148,127,152,165,145,121,119,129,117,110,105,131,140,134,118,101,133,168,76,78,81,85,91,96,99,128,186,188,166,138,131,161,148,117,107,135,114,85,91,141,149,148,135,108,103,140,76,78,81,85,91,96,100,140,172,177,175,146,113,134,144,115,95,127,124,87,74,128,154,161,148,119,97,99,77,78,81,86,92,96,102,147,154,151,159,130,96,98,120,101,79,94,101,84,89,136,165,171,153,125,103,88,77,78,81,86,92,96,105,161,165,144,140,103,79,71,88,82,61,61,78,112,155,171,168,162,145,123,106,93,77,79,81,86,92,95,111,173,173,150,136,94,71,58,73,73,50,54,113,171,186,176,163,146,128,113,102,91,77,79,82,86,92,96,121,185,177,150,132,99,72,56,70,70,62,104,173,198,191,172,153,131,111,100,94,97,77,79,81,86,91,96,123,196,192,167,148,121,95,82,83,87,113,168,200,201,187,162,141,120,100,91,91,120,77,79,82,87,92,96,122,199,203,182,163,140,122,119,116,129,168,197,203,194,174,149,130,111,95,86,98,147,77,79,82,87,92,97,121,198,209,189,167,147,137,137,140,161,190,199,195,180,159,138,119,104,92,85,116,167,77,79,82,87,93,98,118,193,209,191,171,157,150,148,155,175,191,194,181,163,146,128,111,100,91,90,140,177,78,80,83,88,93,98,114,181,207,195,180,168,161,159,165,176,182,181,164,146,133,117,103,95,89,106,163,181,78,80,83,89,95,99,110,164,204,200,193,180,167,160,161,165,166,162,148,132,120,107,97,90,90,134,176,181,78,80,84,90,95,100,108,145,197,204,202,189,171,156,147,146,148,145,137,122,108,99,92,85,103,160,180,182,78,80,84,90,95,100,108,127,182,201,195,186,169,151,138,134,136,135,131,116,102,96,89,84,127,174,181,183,78,80,84,90,95,100,109,119,158,189,181,172,160,144,133,130,130,133,130,117,102,95,85,91,152,179,182,184,78,80,84,90,95,100,109,118,138,175,172,157,146,134,132,132,124,125,127,116,101,92,81,105,166,180,182,184,77,80,85,90,94,100,110,119,129,160,161,148,144,137,141,141,124,119,124,115,100,90,79,115,173,181,182,184,76,79,84,89,94,100,110,119,126,151,162,152,151,144,142,141,125,114,119,114,100,87,76,113,173,182,183,184
11,159,162,167,170,173,175,178,180,182,183,183,184,183,184,183,184,184,183,182,181,181,178,174,175,174,172,168,166,161,167,169,173,175,177,181,182,184,185,186,185,184,186,187,185,184,184,183,182,182,180,177,176,174,173,171,168,165,169,173,175,179,181,183,185,187,188,188,188,189,179,167,190,185,185,184,183,182,181,180,178,177,175,173,174,169,172,175,179,182,185,187,189,191,190,191,189,196,199,115,190,190,187,188,186,184,184,183,180,178,176,181,154,172,176,179,181,185,189,191,191,193,193,194,190,203,215,104,183,195,190,190,190,189,187,184,183,180,180,181,97,173,178,182,185,189,191,193,193,196,196,199,190,216,212,91,183,198,194,192,190,191,190,188,186,183,188,164,60,176,181,183,188,192,193,196,197,200,202,198,195,244,205,94,196,198,196,195,194,192,192,190,190,188,194,147,47,180,184,188,192,194,196,200,200,200,189,216,183,239,190,106,207,199,199,199,199,196,196,194,193,190,195,161,72,183,187,191,194,197,201,196,233,211,125,191,162,112,167,111,183,208,201,201,202,200,199,196,197,194,193,185,93,185,189,193,197,201,196,228,254,233,180,107,143,95,127,106,147,217,203,204,204,202,201,200,200,198,195,197,117,187,191,196,201,199,215,255,202,211,209,122,106,101,143,112,157,219,206,207,207,206,205,204,201,200,197,201,169,190,194,198,201,204,255,240,158,156,205,111,98,93,141,111,165,221,209,211,210,208,208,206,204,202,201,200,194,192,196,202,197,233,255,197,149,177,176,77,108,92,129,101,180,221,212,215,214,211,210,209,207,205,205,202,199,193,198,204,198,248,255,180,119,135,143,80,104,91,125,96,205,220,215,216,215,213,211,208,207,206,206,204,203,195,200,205,199,254,255,198,141,86,87,118,81,105,121,102,223,218,217,216,215,215,214,212,211,209,207,207,205,197,203,206,204,255,255,188,127,86,70,126,78,140,130,71,181,234,219,222,223,216,209,204,202,210,216,209,207,199,204,208,210,255,252,188,138,96,73,85,69,130,113,61,90,204,221,206,183,168,157,153,140,129,174,216,207,200,206,207,218,255,248,193,149,109,86,89,96,116,119,114,112,119,141,147,163,172,154,125,115,94,115,219,210,202,208,209,221,255,243,194,153,116,93,96,145,176,176,163,149,128,131,154,152,129,107,129,181,197,202,215,212,204,210,212,221,255,246,204,163,126,100,115,174,171,156,150,142,125,113,107,112,153,187,222,229,225,221,216,213,206,212,212,228,255,250,213,165,141,112,132,165,164,150,131,127,98,87,147,217,234,231,224,221,221,220,217,213,207,216,208,244,255,250,209,162,140,118,128,144,150,139,115,92,118,196,237,233,227,224,225,224,223,222,219,217,209,214,213,255,255,231,189,150,126,118,130,125,134,126,88,152,236,240,229,230,230,228,227,226,224,224,221,218,212,210,255,255,252,218,176,143,123,123,127,113,107,100,172,247,238,233,232,231,231,229,228,226,225,225,223,221,209,220,255,255,235,209,171,149,132,120,115,91,133,218,247,237,237,237,234,232,232,231,229,228,226,225,224,222,205,236,255,255,206,170,162,147,123,112,86,118,236,247,237,239,238,238,236,235,234,232,230,230,229,226,225,222,207,254,255,246,181,145,139,130,111,94,96,218,247,239,242,241,240,238,238,235,235,234,231,231,230,226,225,223,220,255,255,231,155,137,132,119,100,82,181,252,241,246,245,242,241,239,238,236,235,235,234,233,232,229,227,226
0,199,198,198,198,199,199,198,199,199,199,201,202,199,200,200,200,201,199,200,201,199,199,199,200,200,198,198,198,199,199,200,199,200,201,201,201,201,201,202,202,202,200,199,199,200,198,201,201,199,201,200,201,200,200,200,199,199,200,201,200,200,202,201,200,202,204,201,202,204,203,200,201,201,200,201,201,200,201,200,201,201,200,199,199,201,202,201,202,202,203,201,201,196,189,202,200,199,202,202,197,198,206,204,204,205,201,199,202,202,201,200,200,202,201,202,203,203,202,200,210,195,141,133,176,173,160,182,188,172,160,194,193,193,205,204,201,202,202,201,201,202,202,202,203,203,204,202,206,201,138,77,147,179,125,113,181,166,110,111,160,135,133,168,205,202,201,201,201,203,203,202,202,200,202,198,176,195,151,100,124,167,118,90,159,146,102,91,153,131,91,99,157,208,201,202,202,204,203,204,204,200,197,189,158,170,179,126,95,149,118,83,147,141,90,96,157,126,87,109,127,163,212,200,203,204,204,205,204,202,197,188,164,139,157,129,79,136,115,69,138,157,94,94,164,139,91,120,155,112,181,209,200,205,204,204,205,204,197,185,162,133,121,105,90,132,103,62,146,152,84,109,172,156,137,131,137,112,121,215,200,205,205,205,206,203,196,189,178,154,118,105,102,111,95,75,130,128,117,167,168,159,148,127,108,96,117,211,202,206,207,207,207,204,200,194,186,174,144,108,99,94,109,118,120,148,177,181,174,161,138,125,111,86,137,215,202,206,206,207,209,205,201,199,189,183,170,130,101,102,115,120,150,184,187,186,179,163,134,117,110,84,160,217,203,207,207,207,208,204,201,206,195,192,185,156,127,127,117,133,173,186,193,197,182,157,131,114,105,90,193,212,205,207,208,208,208,206,192,209,204,201,195,177,158,152,135,139,172,182,195,201,182,151,127,114,93,124,215,206,207,208,209,209,208,210,186,201,210,208,200,187,174,166,156,148,167,186,197,191,176,142,121,115,92,176,214,207,207,209,209,209,209,214,188,189,211,212,204,194,182,173,165,159,158,178,195,184,168,135,119,106,106,208,208,208,208,209,209,208,209,212,200,173,204,212,211,199,190,181,173,159,154,165,180,173,152,129,118,92,135,219,207,208,209,209,209,209,209,210,213,174,188,211,212,199,185,181,172,160,153,159,169,161,136,120,113,87,185,214,208,210,209,209,209,210,211,208,214,192,175,212,209,189,179,181,168,164,154,146,154,151,125,115,89,131,216,209,207,210,209,210,210,211,212,210,212,203,184,209,210,192,188,192,174,166,151,136,138,143,124,101,100,199,212,210,210,211,211,210,210,211,212,211,212,207,189,211,214,200,192,200,179,163,150,133,128,135,123,88,165,218,210,212,212,212,212,210,210,212,212,211,213,208,181,209,214,206,196,196,176,161,147,135,125,132,114,96,200,214,212,213,212,212,212,210,209,210,210,211,214,208,177,208,212,206,195,188,174,158,147,138,122,128,106,111,211,208,214,213,213,213,213,209,208,209,209,211,213,206,189,207,212,206,196,185,174,161,146,139,123,122,98,126,223,209,213,213,213,213,213,210,209,209,210,210,212,199,199,208,204,203,192,184,173,161,146,138,121,117,95,141,223,209,212,212,213,213,213,211,211,210,211,211,212,197,196,204,201,202,185,177,170,161,145,133,115,112,92,159,215,208,211,211,212,212,212,211,210,209,211,213,213,195,192,201,204,202,183,168,164,159,145,129,110,107,91,180,213,210,212,212,212,212,212
20,172,174,175,176,176,177,177,176,178,178,177,176,176,177,176,173,173,171,169,168,166,164,161,160,158,157,154,152,177,177,178,181,180,181,180,180,182,182,182,181,180,178,175,177,176,173,173,172,168,167,164,162,160,158,156,155,183,183,185,184,184,186,185,184,186,186,186,186,183,193,186,123,182,184,175,176,174,172,170,167,166,162,160,159,186,188,190,190,189,189,191,191,190,190,190,191,187,196,200,105,130,165,184,177,177,175,174,172,170,167,164,162,191,193,194,194,195,195,196,195,194,196,196,196,194,199,201,100,77,105,169,188,181,179,177,176,173,171,168,165,196,197,198,199,200,200,201,199,199,199,200,201,197,208,196,78,120,130,129,199,185,185,182,181,178,176,173,170,200,201,202,204,205,205,204,204,205,204,205,206,201,215,197,80,149,156,100,200,191,190,186,185,182,179,178,176,206,207,207,208,209,209,209,209,210,209,210,210,204,227,203,91,152,171,96,196,197,194,192,191,187,183,181,178,211,211,211,212,213,213,213,212,214,214,215,213,207,237,182,81,165,195,101,187,204,198,197,195,192,187,185,184,215,214,214,215,215,217,216,216,216,218,218,216,216,250,164,87,191,193,96,182,211,201,200,198,197,193,190,187,218,218,219,220,221,221,221,221,220,221,221,200,181,219,178,104,201,192,89,175,216,204,204,202,199,197,194,193,222,223,223,224,224,224,225,224,224,224,225,236,216,177,152,102,166,200,110,172,218,207,207,205,203,200,198,195,224,226,225,226,229,229,229,227,227,227,226,208,232,203,169,133,142,196,117,163,223,209,210,208,206,202,200,198,227,229,230,230,232,230,231,231,231,230,234,192,139,185,212,134,82,133,101,152,228,212,214,211,210,206,204,201,231,232,232,231,233,231,233,233,233,232,237,217,69,143,210,146,79,70,70,137,233,213,215,214,212,208,205,202,232,233,233,233,234,233,234,235,234,234,239,208,91,110,193,184,119,101,59,114,235,218,219,216,214,212,207,205,234,235,235,235,234,235,236,236,237,232,226,200,152,99,88,165,159,133,69,86,235,220,220,218,216,214,211,207,236,236,237,237,238,238,239,239,237,232,224,209,187,137,79,118,154,136,81,66,226,226,224,222,218,215,213,209,239,240,240,240,240,240,240,241,232,220,164,156,198,168,108,92,134,176,126,59,199,238,224,224,222,219,215,212,241,241,242,241,241,241,244,243,229,223,183,90,115,173,90,66,101,179,166,76,120,245,226,225,224,221,218,215,243,243,243,244,244,245,245,245,231,214,174,118,64,123,90,61,128,205,197,115,64,223,235,228,224,223,222,217,245,245,245,246,246,246,246,248,231,219,208,151,78,108,115,91,205,228,186,109,68,226,235,230,228,225,223,219,246,248,249,248,249,249,248,251,230,222,225,151,107,114,177,208,242,198,167,72,96,244,232,232,230,225,221,219,249,249,250,251,251,250,249,254,232,218,217,171,123,110,221,254,224,172,145,57,143,251,230,233,231,227,223,223,250,250,251,252,252,252,251,255,236,203,198,174,127,109,209,225,197,152,118,57,190,248,233,233,232,229,224,222,248,249,250,249,250,251,251,255,242,201,196,173,139,120,200,220,182,135,89,64,230,240,234,233,231,229,229,236,249,250,251,251,251,252,253,253,253,212,192,178,158,121,188,211,162,112,52,125,254,235,235,232,232,236,220,157,252,252,253,252,252,253,255,255,255,224,201,180,154,116,150,172,121,78,41,207,249,237,236,233,222,167,93,33
20,164,165,166,167,167,167,168,167,169,169,168,167,167,168,167,164,165,163,161,160,159,156,154,153,152,150,148,147,168,168,168,171,171,171,171,171,172,172,172,171,170,169,166,168,167,165,165,163,160,160,157,155,154,151,150,149,173,173,175,174,174,175,175,174,175,175,175,175,173,181,175,122,172,174,166,167,165,163,161,160,158,155,153,152,176,177,179,179,178,178,180,180,179,179,179,179,177,184,188,106,128,158,174,168,168,166,165,163,162,159,157,155,180,182,182,183,183,183,184,183,183,184,184,184,182,187,188,102,83,107,161,177,171,169,168,167,164,162,160,157,184,185,186,187,187,188,188,187,186,187,188,188,185,194,184,83,119,128,127,187,175,174,172,172,168,167,164,162,188,188,189,191,191,192,191,191,191,191,192,192,188,200,185,85,144,150,102,188,180,179,176,175,172,170,169,167,193,193,194,194,195,195,195,195,196,195,196,196,190,210,190,95,147,163,99,184,185,182,181,179,176,173,171,169,197,197,197,197,198,198,199,198,199,200,200,198,194,219,172,86,157,184,103,176,191,185,184,184,181,177,175,174,200,199,200,200,200,202,201,201,201,203,203,201,201,230,157,91,180,181,99,172,197,189,187,186,185,182,179,176,203,203,203,205,205,205,205,205,205,206,206,187,171,203,169,106,188,181,93,166,201,190,191,189,186,185,182,181,207,207,207,208,208,208,208,208,208,208,209,218,201,168,147,104,158,188,111,164,203,193,193,192,190,187,185,183,208,209,209,210,212,212,212,210,210,211,210,194,214,190,161,130,138,184,117,156,207,195,196,194,193,189,188,186,210,212,213,213,214,213,214,213,214,213,217,181,136,175,198,131,87,130,103,146,211,198,199,197,196,193,190,188,213,214,215,214,215,214,215,216,216,215,219,202,76,139,196,141,84,76,76,134,215,199,200,199,197,194,192,189,215,216,216,215,216,216,217,217,216,216,220,194,95,111,182,174,118,103,67,114,217,203,203,201,200,198,194,191,217,217,217,217,217,217,218,218,219,215,210,187,147,101,92,158,152,130,76,90,217,205,205,203,201,199,197,193,218,219,219,219,220,220,220,221,219,215,208,195,176,134,84,118,149,133,86,74,210,210,208,206,202,201,199,195,220,221,221,222,221,222,222,222,215,205,157,150,186,160,109,95,131,167,124,67,186,220,208,208,206,204,200,197,222,222,223,223,222,223,225,224,212,207,173,94,115,165,94,73,103,169,159,82,119,226,209,209,208,205,203,200,224,224,224,225,225,226,226,226,214,200,165,117,71,122,93,69,126,192,185,115,71,207,217,211,208,207,206,202,225,226,226,227,227,227,227,228,214,203,194,146,83,109,115,94,192,211,176,110,75,209,217,213,211,209,207,204,227,228,229,229,229,229,229,231,213,206,209,145,108,114,168,194,223,186,159,78,99,225,214,215,213,209,206,204,229,229,230,231,231,230,229,233,215,203,202,163,122,111,205,233,208,163,141,65,139,231,213,216,214,210,207,207,230,230,231,232,232,231,231,235,218,190,186,166,125,110,195,209,185,146,118,66,179,228,215,215,215,213,208,206,228,229,230,230,230,231,231,234,223,188,184,165,135,119,188,204,172,132,93,71,213,222,217,216,214,212,212,218,230,230,231,231,231,232,233,232,233,198,181,168,152,120,178,197,155,112,61,123,233,217,217,215,214,218,204,151,232,232,232,232,232,233,234,234,236,208,188,170,148,116,145,163,120,83,52,194,229,219,218,216,206,159,96,45
7,169,172,173,175,178,179,182,182,184,186,187,188,190,191,191,192,192,192,194,194,194,194,194,194,195,195,193,193,169,173,175,176,179,181,182,183,186,187,188,189,191,190,191,193,193,193,194,194,195,195,195,195,195,195,194,194,172,174,175,178,180,181,183,184,187,187,188,190,191,192,192,192,193,195,195,195,195,195,195,195,195,195,194,194,173,175,176,179,182,182,184,186,187,188,190,189,191,193,193,193,193,194,195,196,196,196,196,196,196,196,196,195,173,175,178,181,182,184,187,188,188,189,191,192,193,193,193,195,195,194,196,197,197,197,197,197,197,197,197,194,174,176,179,182,183,185,187,189,191,192,194,195,194,194,195,196,198,198,197,197,198,199,198,196,199,199,197,196,174,176,179,181,184,186,187,190,192,193,195,195,195,197,198,194,188,190,195,194,191,185,183,205,176,193,201,197,175,178,180,182,184,188,189,191,193,193,196,196,196,193,184,177,175,164,166,172,176,167,163,182,145,185,196,193,179,180,181,183,186,188,188,191,191,189,191,192,197,189,181,182,178,158,165,165,170,167,163,160,153,178,180,157,179,181,183,185,187,189,190,195,175,169,178,186,191,184,179,173,161,159,154,145,148,151,145,143,141,140,141,168,179,181,184,186,188,187,203,193,161,167,172,166,156,147,147,145,137,132,134,145,146,146,149,155,162,171,184,204,180,181,185,188,186,203,209,191,179,162,154,139,127,115,124,148,152,172,198,204,203,202,204,208,208,209,207,203,180,183,186,185,201,214,202,203,193,153,145,148,151,150,145,153,176,209,208,206,207,207,206,205,204,203,205,205,182,185,183,197,215,205,204,200,180,158,151,142,147,152,146,129,115,145,210,206,207,207,207,206,207,207,206,207,183,182,193,210,208,203,197,184,173,164,152,128,122,138,144,141,132,123,206,209,208,208,208,208,208,207,208,207,178,189,210,209,198,189,184,177,171,164,152,130,115,117,120,122,126,130,209,210,209,209,209,209,208,208,208,208,187,209,207,201,192,184,180,179,177,172,157,134,129,132,118,100,102,131,216,210,210,210,209,209,209,209,209,208,208,204,194,194,191,183,182,177,173,170,159,144,138,136,131,124,114,119,196,216,210,210,212,211,210,211,210,208,201,196,194,190,183,181,175,168,171,168,152,137,133,131,134,129,124,95,105,189,216,210,213,212,212,212,210,209,197,194,187,186,183,180,166,168,174,157,136,123,109,98,118,126,124,102,102,165,221,211,212,212,212,212,211,210,194,191,183,181,173,169,176,172,153,136,125,101,93,90,85,120,125,110,151,208,214,212,213,213,213,213,212,212,191,188,180,170,173,176,172,154,138,128,114,97,102,98,98,116,120,188,219,216,214,213,213,213,214,214,213,214,181,178,167,171,175,167,152,139,131,115,118,136,149,157,116,131,195,219,213,215,215,215,215,214,214,214,214,213,161,161,159,159,154,145,137,126,115,132,190,214,216,221,197,202,220,214,216,216,216,216,216,214,214,214,213,213,147,141,137,136,135,126,121,129,165,206,214,210,211,212,217,217,214,217,217,217,217,217,217,215,214,214,214,214,144,128,122,118,108,123,174,201,213,208,208,212,213,214,213,216,217,217,217,217,217,217,217,215,216,215,215,215,142,124,111,107,153,194,212,207,207,208,211,214,214,215,216,217,218,218,218,218,218,218,218,217,218,216,215,216,144,126,109,114,204,206,203,207,210,210,212,215,215,215,217,218,218,219,220,218,218,218,218,218,218,218,217,217
6,166,168,170,172,173,175,176,175,174,175,175,176,175,174,174,173,174,173,173,172,171,171,171,171,169,168,167,166,167,169,171,172,174,176,176,176,177,177,177,177,177,176,176,175,175,174,173,173,172,172,172,172,172,171,167,166,167,169,172,173,175,178,178,178,180,179,178,178,178,178,176,176,176,175,174,174,173,173,173,172,172,171,168,167,167,169,172,174,176,178,178,179,179,178,179,179,178,178,178,177,176,176,175,175,174,174,174,173,172,172,170,169,168,170,172,174,177,178,178,179,179,179,179,179,178,176,174,173,174,174,176,175,175,176,175,174,174,172,171,170,168,171,173,175,177,178,179,180,180,179,177,173,167,158,142,143,150,154,153,154,154,152,163,165,169,173,172,171,169,172,174,175,178,177,176,180,181,182,179,174,170,157,140,141,151,157,149,148,136,132,166,156,141,173,172,172,170,172,174,180,181,174,176,185,187,187,181,174,165,153,139,136,144,152,149,146,142,134,156,145,128,172,173,172,171,173,176,198,189,174,173,175,173,166,159,153,144,139,125,106,102,118,124,128,131,128,133,135,157,175,174,173,172,174,178,205,187,170,163,159,163,167,167,159,148,144,143,118,103,155,159,161,163,165,167,171,177,176,174,173,173,174,181,191,168,161,164,169,176,181,175,165,157,152,147,124,100,173,183,182,182,181,180,180,179,177,175,173,173,174,195,187,161,157,162,169,177,181,179,171,160,149,133,109,89,149,184,182,181,181,180,180,180,178,176,175,174,176,196,175,161,157,159,163,168,171,171,164,151,142,128,91,85,121,183,182,182,182,181,180,180,179,178,176,174,177,186,166,170,168,167,167,172,179,177,163,144,143,138,91,81,110,179,184,183,183,182,181,181,179,178,177,174,176,185,185,184,174,176,177,183,185,173,159,148,145,132,96,85,106,176,185,186,185,182,181,180,179,178,177,174,175,189,207,192,173,173,173,175,173,167,157,149,135,112,94,93,114,180,185,186,185,183,181,180,180,179,178,173,174,191,205,189,172,167,157,148,146,147,143,137,123,92,86,101,155,186,185,184,184,184,181,180,179,177,177,173,173,190,195,188,175,159,145,142,153,160,154,152,149,102,76,110,177,186,184,183,182,182,181,180,178,176,175,175,174,190,188,195,180,161,160,174,180,166,151,145,145,109,86,130,184,185,184,183,182,181,181,180,178,177,175,174,174,190,186,192,177,163,164,172,172,158,146,136,123,102,97,147,187,185,184,183,182,181,181,180,179,178,176,173,170,186,188,183,171,164,163,165,159,149,133,118,103,95,106,164,186,185,185,185,184,182,181,180,179,178,177,174,168,179,187,185,170,161,155,148,132,118,102,93,105,134,158,182,183,184,185,183,184,184,183,181,180,178,175,159,156,174,183,173,159,147,137,121,103,92,79,95,144,169,172,172,171,172,171,170,171,171,171,170,169,173,203,101,108,164,173,154,144,137,126,103,91,93,92,97,103,105,104,104,104,104,104,102,102,103,103,103,111,191,242,95,102,160,164,145,144,137,117,97,92,98,101,93,90,89,88,88,88,89,87,86,86,85,83,89,175,245,245,96,108,162,157,143,150,135,108,93,92,102,99,93,92,92,92,90,94,99,95,95,97,94,92,175,246,248,243,94,117,167,155,145,149,131,106,92,93,107,97,93,93,92,91,91,92,94,92,92,94,91,161,244,250,244,237,95,127,170,152,141,141,121,99,90,97,107,95,94,93,92,91,90,91,91,91,93,89,132,237,249,249,237,233
7,103,112,120,126,129,131,136,141,145,149,151,153,156,157,159,161,162,163,164,165,165,166,166,166,166,167,166,164,103,112,122,127,130,132,137,143,146,149,152,154,157,160,160,162,163,164,166,167,167,167,167,168,167,167,167,166,103,113,123,129,132,133,139,143,147,150,152,155,158,160,162,163,164,165,167,168,168,169,168,168,168,169,168,167,104,113,122,130,133,135,140,144,148,152,154,157,158,160,162,165,165,166,168,169,168,169,170,170,170,170,169,169,104,114,123,129,133,135,140,144,148,152,155,158,159,162,163,165,166,167,168,170,171,170,170,171,171,171,170,170,105,114,123,130,133,135,140,145,149,153,156,158,159,161,165,167,168,168,169,171,171,171,171,171,171,171,171,171,105,115,123,131,133,136,141,146,150,153,156,159,161,163,165,168,169,170,170,171,171,172,173,172,171,171,172,171,106,115,124,131,133,137,142,146,149,153,156,158,160,162,166,168,170,171,172,174,175,174,174,173,173,172,172,172,106,116,125,133,135,135,138,154,162,158,162,167,167,170,169,163,160,166,164,165,163,164,171,175,174,174,174,173,106,117,127,132,132,146,171,184,180,166,162,175,183,183,180,165,165,180,167,158,151,137,157,159,172,176,175,174,109,116,123,140,167,184,185,180,177,161,146,151,162,166,165,149,150,165,160,150,142,135,147,132,172,181,176,174,104,123,158,182,187,180,180,185,176,154,144,159,173,176,182,164,155,163,155,165,162,148,142,150,156,160,173,177,146,179,190,183,186,183,183,185,172,144,131,135,162,168,167,164,166,160,163,171,171,163,158,161,148,161,150,165,191,189,188,187,192,185,185,189,184,131,105,110,108,100,110,124,126,132,134,134,137,140,138,140,135,144,138,167,192,194,191,188,189,186,187,196,170,118,98,102,102,82,67,73,141,158,161,163,159,158,155,155,155,157,168,177,195,191,188,185,187,186,188,186,147,103,101,107,106,99,88,69,160,181,178,180,181,181,182,181,181,182,179,177,187,187,189,187,189,189,191,187,141,95,84,92,109,123,109,80,128,182,174,177,178,178,178,178,177,178,177,178,188,193,192,190,193,192,198,185,133,93,89,61,66,107,108,90,130,181,177,179,179,180,179,179,179,179,178,177,189,186,185,180,174,172,178,146,118,98,94,89,73,95,115,131,167,175,176,177,177,178,177,177,177,176,175,174,175,174,169,160,150,155,152,123,110,104,100,88,88,99,111,116,115,114,114,115,116,113,111,112,111,109,108,107,158,157,150,145,140,138,130,106,101,96,103,97,95,96,95,93,92,92,90,90,92,91,92,93,93,91,88,86,121,132,131,123,111,104,100,101,101,99,101,102,102,102,103,102,100,104,105,101,100,98,97,98,97,96,94,94,102,104,98,94,96,99,101,101,100,100,100,100,100,100,99,100,98,103,103,102,103,98,96,95,95,96,95,96,84,79,85,98,101,102,103,101,101,101,101,101,101,100,100,100,100,99,97,98,100,97,96,96,95,94,96,91,94,85,88,100,102,103,102,103,103,103,103,104,102,101,102,102,101,100,99,99,99,98,98,96,95,97,91,107,108,94,89,96,102,102,102,102,102,103,103,103,101,101,102,101,101,100,100,99,98,97,98,96,97,93,100,178,96,90,91,91,100,102,102,102,102,103,103,103,102,102,101,101,101,101,100,99,99,98,97,97,95,91,170,178,99,94,89,86,100,102,102,102,102,102,101,102,101,100,101,100,100,100,99,99,99,98,98,96,106,154,165,148
7,96,106,120,143,155,163,169,172,173,177,180,181,182,183,184,185,186,185,184,183,181,181,180,178,176,175,172,171,96,107,122,144,156,164,170,173,175,179,181,183,184,185,187,187,187,187,186,185,184,183,182,180,178,177,174,173,98,108,123,145,157,165,171,174,177,180,182,185,186,187,188,189,190,189,188,187,186,185,184,182,180,179,177,175,100,109,125,146,158,167,172,175,178,181,184,186,187,189,190,191,191,191,190,189,188,187,185,184,183,182,180,177,101,110,126,148,159,167,173,177,179,183,186,187,188,189,190,192,192,192,192,190,189,189,187,186,185,183,181,179,102,111,127,148,160,168,174,178,180,184,187,189,190,191,192,193,194,194,194,193,192,191,191,188,186,184,182,180,102,112,128,150,161,169,175,178,180,184,187,190,191,192,191,189,188,186,181,173,174,176,182,190,188,186,185,183,103,112,128,150,161,169,176,179,180,181,181,180,172,165,157,140,141,142,136,132,161,165,152,190,190,188,187,184,104,113,130,151,162,170,173,162,154,150,152,149,138,131,126,113,120,115,115,117,126,125,138,179,189,189,187,185,105,114,131,151,162,174,164,133,130,135,136,134,129,122,120,117,114,120,119,115,110,106,117,139,154,189,188,186,105,114,132,155,172,174,153,122,111,112,118,126,134,137,136,121,106,123,120,108,102,96,106,122,128,186,189,187,106,114,142,170,172,163,152,137,131,134,143,144,140,134,125,105,97,104,101,95,97,98,105,123,158,192,190,188,106,135,170,172,166,163,149,131,126,130,134,126,121,115,104,99,111,130,148,162,174,180,186,191,195,194,191,189,138,175,176,171,166,154,133,101,100,107,99,86,82,92,140,173,190,200,203,203,202,201,200,198,197,195,192,190,179,181,174,169,152,137,119,92,87,79,66,60,64,67,81,143,204,203,202,202,202,201,201,200,198,196,193,191,177,176,173,158,142,132,124,113,92,75,75,76,74,70,63,99,200,204,204,203,203,202,202,201,199,196,195,192,174,173,159,140,131,127,135,134,101,76,77,77,76,73,67,80,187,206,204,204,204,203,203,201,199,196,194,192,170,156,137,125,123,120,121,113,84,68,60,64,71,71,64,80,179,207,205,205,203,203,202,201,199,197,195,193,149,135,127,124,120,109,101,92,78,65,64,77,82,76,86,170,202,206,205,205,203,202,202,201,199,197,195,193,132,129,122,115,106,95,90,96,94,78,75,77,78,87,150,202,203,203,203,203,202,202,201,199,197,195,194,191,128,120,109,103,98,95,99,106,94,76,87,117,149,180,200,202,203,203,202,202,201,201,200,199,197,195,192,189,119,112,107,106,101,94,91,88,82,111,167,193,199,201,202,202,202,202,202,201,202,201,200,199,197,195,191,188,90,88,89,90,91,88,92,115,151,181,193,195,197,200,201,202,202,202,202,202,202,201,200,199,196,195,192,188,66,59,40,68,137,145,162,176,183,185,188,191,192,194,195,196,196,195,195,194,192,191,189,187,185,183,176,142,63,51,16,67,147,143,142,140,139,139,139,138,137,137,138,137,134,131,131,129,126,123,121,119,105,85,70,43,49,28,12,68,111,109,109,109,109,110,109,109,110,109,109,107,107,107,105,104,103,101,97,81,47,27,21,14,9,4,19,81,113,113,111,111,111,111,110,110,111,110,110,110,109,110,109,106,103,92,61,34,21,17,14,7,16,30,41,75,111,112,111,111,112,112,112,111,112,111,111,110,108,106,106,104,83,51,22,16,13,12,10,6
7,165,169,174,178,182,184,186,188,190,192,193,193,193,193,194,193,193,194,193,192,191,191,190,189,188,187,186,185,166,171,175,180,183,184,188,190,191,192,195,195,197,196,195,195,196,195,194,193,193,192,192,191,190,188,188,187,167,172,177,182,184,187,189,191,193,193,195,196,198,197,197,197,197,196,195,195,195,194,193,191,191,189,190,189,169,175,178,183,186,188,190,193,195,195,197,199,199,199,199,199,199,198,198,196,197,196,194,193,193,191,191,190,171,176,179,184,187,189,192,195,195,198,199,200,201,200,200,200,201,202,201,198,195,194,194,196,194,193,193,191,172,177,181,185,188,192,193,195,196,199,200,202,204,205,204,201,198,192,190,171,187,215,174,194,198,195,193,192,174,178,183,187,190,193,195,198,198,200,201,201,197,188,183,185,182,171,172,160,179,196,148,189,196,194,197,194,175,179,185,189,191,194,196,198,197,197,192,181,168,149,160,175,178,158,147,139,133,150,154,205,215,152,196,197,177,181,187,191,193,195,192,174,170,170,170,169,161,153,138,142,130,131,153,155,153,160,172,194,189,133,195,199,177,182,187,191,196,201,185,169,170,164,154,156,159,147,135,130,146,174,192,176,164,157,142,126,140,177,202,197,178,183,187,193,204,194,179,176,170,143,144,164,176,160,154,146,145,160,164,146,127,115,130,161,191,205,201,200,179,183,192,198,189,185,185,182,152,116,135,148,151,139,138,136,117,122,114,119,143,177,206,210,206,202,201,201,179,189,198,193,190,187,178,181,161,124,120,108,98,90,91,99,109,135,172,199,213,213,206,205,204,204,202,201,194,199,196,196,193,179,174,172,174,155,113,91,69,115,166,173,195,213,217,211,208,207,209,209,207,205,205,204,201,197,193,189,181,176,176,176,175,153,119,98,92,113,191,225,214,213,212,211,210,209,208,208,208,207,206,206,201,194,183,178,173,169,163,160,153,135,114,92,97,93,78,166,221,212,214,212,212,212,210,209,208,208,207,207,195,183,176,169,163,158,154,148,146,136,112,85,89,109,92,102,219,215,215,214,213,213,213,211,210,209,208,207,188,184,170,165,157,155,154,152,153,151,118,85,79,99,95,110,222,215,215,215,215,214,213,213,211,210,208,207,113,166,168,164,158,155,151,151,152,143,112,90,90,75,78,84,180,225,214,216,215,214,214,214,213,211,209,208,59,77,143,170,163,158,150,143,133,118,104,100,97,86,77,71,160,230,215,217,216,215,215,214,213,212,211,210,67,55,61,136,170,156,147,137,128,113,105,99,102,88,104,140,210,222,219,219,219,217,216,215,214,214,212,211,61,59,54,58,133,142,128,116,113,95,79,91,94,95,208,230,221,221,221,220,219,217,216,216,215,213,213,212,57,55,53,49,63,100,99,104,93,66,66,78,105,193,229,218,221,222,221,220,219,218,217,216,215,214,214,212,52,50,48,52,46,33,55,192,162,86,113,151,210,228,221,222,222,222,222,220,220,220,219,217,216,216,214,213,41,44,47,52,48,42,175,225,220,214,220,229,225,222,224,223,222,223,223,222,221,221,221,218,218,217,215,214,75,45,43,56,45,165,226,212,218,222,222,221,223,225,225,225,223,225,224,222,222,221,221,219,219,217,215,215,64,70,53,42,86,223,209,216,218,219,221,223,224,225,225,224,223,224,223,222,222,220,220,219,218,216,215,215,36,55,54,34,112,224,209,215,217,218,221,221,223,222,222,224,224,222,222,222,221,220,220,219,217,215,215,215
13,92,101,108,111,114,120,127,131,135,137,139,142,146,149,150,152,155,156,157,158,158,160,161,159,159,159,160,161,93,102,111,113,117,123,129,132,135,138,140,143,146,149,152,154,156,157,158,159,161,160,161,161,161,161,161,163,96,106,113,114,119,125,132,135,137,140,142,145,148,151,154,156,158,156,157,158,161,166,164,163,163,164,163,164,98,109,115,116,121,126,132,136,139,142,145,148,150,152,156,157,159,171,178,163,118,140,165,164,170,164,165,166,99,109,116,118,122,128,133,138,141,144,148,150,153,155,157,162,161,181,197,163,104,67,98,117,146,172,165,167,101,110,115,119,124,129,134,140,144,146,148,152,156,154,167,148,120,124,164,167,104,57,84,114,64,149,173,167,103,112,117,120,126,131,136,141,143,147,150,154,154,166,200,163,131,89,124,173,143,64,97,116,55,133,178,168,105,114,118,120,126,132,138,143,145,149,149,161,149,114,172,197,161,108,55,154,160,68,93,127,59,148,177,169,106,115,120,122,127,133,139,143,147,147,157,191,155,96,82,193,182,134,53,70,135,64,107,147,75,164,174,172,108,116,122,124,128,135,141,145,147,154,187,185,175,134,57,133,190,124,70,14,58,37,105,127,99,182,171,173,109,119,123,125,131,138,142,146,147,182,158,150,186,151,73,76,176,110,64,14,37,71,106,98,69,166,178,174,111,122,124,126,134,140,144,144,168,195,156,128,166,135,77,54,153,115,64,19,78,123,117,98,76,111,186,173,113,121,126,129,136,142,146,147,181,174,141,115,151,105,64,32,142,146,67,63,152,146,114,74,81,74,164,180,115,123,127,131,138,145,148,156,192,167,139,95,129,95,60,6,117,144,63,136,173,141,111,82,76,60,152,185,118,126,128,131,141,149,151,159,200,178,153,106,92,100,45,19,108,151,133,174,155,127,103,79,59,70,181,180,121,128,130,134,145,152,153,166,205,184,159,121,76,75,76,125,172,184,187,167,142,112,93,75,44,123,191,178,124,131,132,137,147,154,155,172,210,194,162,125,120,123,131,158,179,178,176,158,129,107,86,62,50,171,184,181,126,133,135,141,150,156,156,176,203,197,173,140,145,130,133,168,171,181,167,146,121,101,79,47,73,191,182,183,129,136,138,145,154,160,161,176,193,200,184,157,153,131,142,181,168,172,153,129,107,88,72,32,134,196,184,185,132,138,141,148,157,164,167,168,189,198,188,167,153,134,144,172,173,150,136,114,99,86,49,90,195,188,188,187,135,141,143,151,159,165,170,168,183,191,185,174,158,146,142,159,168,143,122,103,92,70,71,189,193,190,189,189,137,144,146,153,161,166,171,174,172,192,187,179,174,162,144,151,160,137,106,92,82,58,165,200,190,193,192,190,140,145,148,155,164,170,173,178,165,192,186,179,176,161,139,144,144,126,89,86,61,120,206,192,194,195,192,194,141,148,149,158,167,173,176,180,169,189,169,153,163,154,136,137,133,114,90,73,71,190,197,197,197,193,200,188,143,148,151,160,168,175,177,182,172,190,170,155,171,167,151,128,126,109,100,57,110,202,197,198,198,210,184,77,144,148,151,161,168,173,177,182,170,192,183,165,184,169,154,125,121,108,102,51,132,205,197,202,199,150,66,31,145,149,152,162,169,174,178,183,175,187,195,184,196,173,156,131,120,108,101,49,143,207,199,199,103,32,17,22,145,150,154,164,171,175,179,186,173,173,200,190,193,170,152,135,122,110,97,47,137,208,210,137,42,41,29,2
20,155,158,161,163,166,168,170,171,171,173,174,173,171,172,172,169,172,159,168,169,167,166,165,163,162,162,161,160,156,159,163,166,168,170,172,173,174,175,175,176,174,174,172,175,185,125,137,173,169,167,166,165,164,165,163,161,157,161,163,167,169,171,173,174,175,176,177,176,175,175,173,182,186,120,106,150,133,169,167,167,167,166,164,163,159,163,165,168,170,173,174,176,177,178,178,177,177,177,173,185,180,114,110,160,97,158,173,168,168,166,166,165,160,163,167,170,173,174,176,179,180,178,180,180,179,178,174,196,186,117,114,162,100,148,176,170,170,168,167,166,161,165,168,170,173,176,177,180,180,179,180,181,180,181,177,204,180,116,123,162,106,149,178,171,171,170,169,167,163,167,169,172,174,177,179,180,180,182,182,182,182,180,184,197,158,105,148,174,113,143,181,172,173,172,169,169,165,169,172,174,176,178,179,182,181,182,183,183,186,184,193,193,151,91,154,165,108,142,183,174,174,173,172,169,166,170,173,175,177,180,181,184,183,184,185,184,167,154,201,195,144,90,163,159,99,148,183,175,175,174,173,171,167,171,174,176,179,181,182,183,186,187,185,193,163,102,181,175,105,112,184,155,101,157,185,177,176,175,174,173,169,172,175,177,180,182,183,185,188,188,193,205,174,132,136,106,70,130,172,142,95,168,184,178,177,177,175,174,170,173,175,179,181,184,186,187,188,186,162,179,191,163,118,95,81,126,138,113,96,182,181,180,180,179,177,175,171,174,177,181,183,185,187,187,200,195,137,138,196,153,143,136,130,134,107,90,122,192,181,182,181,180,178,176,172,175,180,181,184,187,187,194,213,204,158,143,171,163,159,146,156,144,89,74,154,191,182,182,182,180,179,178,174,177,181,183,186,188,186,205,201,208,158,135,185,172,143,142,143,126,102,68,161,192,184,184,183,181,181,180,174,177,181,184,186,189,188,218,195,185,171,115,157,147,82,86,143,136,119,74,156,195,185,185,184,182,182,180,175,179,182,186,188,188,196,212,178,170,172,97,73,76,56,56,140,168,131,89,107,195,186,186,185,184,182,181,177,180,183,186,189,191,195,221,208,189,158,133,93,57,93,158,168,176,146,106,72,165,193,186,186,185,183,182,177,181,185,187,189,190,197,223,213,186,152,167,110,83,177,205,187,160,142,108,79,153,197,186,187,186,185,181,178,182,186,188,190,192,198,223,216,179,149,138,96,143,208,186,166,154,115,107,81,175,194,188,188,187,185,183,179,183,187,188,191,192,198,221,211,179,175,127,143,213,196,164,142,153,111,86,95,197,190,190,189,188,186,185,180,184,188,190,194,194,197,218,209,187,180,134,178,212,184,165,148,145,126,68,129,204,191,191,191,189,187,185,180,184,188,191,193,195,198,210,206,189,180,139,170,192,172,160,140,128,110,69,177,198,192,192,191,189,188,186,181,185,188,191,192,197,200,209,204,191,174,141,140,162,152,138,120,114,73,121,205,193,194,193,192,190,188,186,180,184,187,189,200,179,90,164,201,187,146,117,119,130,146,128,107,78,78,193,199,195,194,193,193,191,189,187,179,182,185,193,187,97,61,73,147,160,127,121,128,131,150,121,92,65,163,203,193,195,194,193,192,189,188,186,180,183,189,192,105,64,75,66,73,125,142,135,130,131,139,109,67,135,209,195,196,195,194,193,192,190,188,186,180,183,195,124,69,78,65,69,64,70,108,118,121,119,109,84,86,197,200,197,197,195,195,194,193,191,189,188
10,26,61,63,67,72,77,85,95,103,106,109,113,117,121,124,126,129,129,132,133,133,133,133,135,135,135,133,133,31,63,64,68,73,78,87,96,103,108,112,115,121,124,126,129,130,142,131,135,136,135,136,136,136,136,136,134,36,65,64,69,74,78,88,98,106,111,115,120,124,127,130,129,138,173,112,123,141,137,139,138,137,137,137,136,42,65,66,70,74,79,90,101,109,113,118,123,126,129,132,131,144,172,121,106,146,140,142,141,141,140,139,138,47,66,67,71,75,80,92,103,112,113,118,124,129,133,136,135,141,173,145,101,145,143,143,143,142,142,141,140,52,65,68,72,76,82,94,105,111,128,125,123,134,136,138,139,139,181,170,102,139,148,146,145,144,144,143,142,57,67,69,72,76,83,95,106,114,176,124,82,125,139,141,143,142,178,171,107,130,153,148,148,147,147,146,145,61,66,69,73,78,85,97,108,115,146,110,79,75,149,126,117,148,173,179,113,118,157,150,150,149,150,148,147,62,65,69,74,79,85,98,110,118,123,117,94,82,143,97,94,150,176,188,119,104,160,152,153,152,151,150,150,65,67,69,74,79,86,100,111,121,124,129,121,116,154,95,56,143,174,159,111,84,157,156,156,155,154,153,152,67,68,71,75,78,87,101,113,122,126,130,143,129,156,109,55,108,160,107,88,70,150,159,156,157,157,155,154,68,68,71,75,78,87,103,115,124,127,131,139,134,159,129,99,71,95,82,85,66,142,164,159,160,159,157,156,69,69,71,75,79,88,103,116,125,128,133,143,154,125,149,139,113,63,57,75,65,122,171,161,162,161,160,158,70,70,70,74,79,90,104,117,127,130,130,162,168,103,111,175,147,117,75,65,61,90,173,163,165,164,162,161,70,70,71,75,80,90,105,118,128,131,138,157,178,141,63,139,176,143,118,60,50,69,170,168,168,166,165,163,70,70,71,76,79,90,107,120,127,140,181,130,160,133,76,126,189,155,128,66,44,70,170,170,169,168,167,165,71,69,71,76,79,92,108,121,126,147,198,135,112,146,108,177,177,147,127,78,50,49,154,177,170,171,169,168,71,70,71,76,79,93,109,122,130,137,177,153,99,173,158,190,180,143,122,84,57,44,150,180,173,173,170,170,71,71,72,76,79,93,110,122,133,131,160,156,106,176,127,167,183,151,111,81,63,50,159,180,174,175,173,171,71,70,72,76,79,94,111,124,133,133,157,173,144,142,75,183,179,141,107,79,65,58,167,180,176,176,176,173,72,70,71,75,78,95,111,124,134,138,139,186,186,133,109,197,171,136,103,75,67,63,173,181,178,177,176,174,71,71,71,75,79,94,110,126,135,138,141,165,203,192,174,189,161,127,98,77,69,70,180,181,180,178,177,176,71,70,71,74,79,95,111,125,135,138,144,156,200,197,174,161,145,117,96,85,67,87,188,180,181,180,179,177,71,69,69,72,78,94,110,124,133,136,144,146,139,190,152,130,140,127,111,99,64,105,190,178,181,180,178,177,70,68,68,71,77,94,110,124,132,135,148,136,34,174,137,146,152,151,141,113,58,106,190,179,181,181,180,177,69,66,67,70,75,93,110,124,134,134,151,127,2,142,183,163,139,145,133,92,42,37,186,183,182,181,180,178,65,63,64,67,73,90,108,123,132,135,151,104,5,83,150,135,114,116,91,44,3,65,195,181,182,181,180,179,70,67,67,68,73,90,107,121,130,134,146,88,18,44,44,38,30,31,20,5,0,109,195,179,181,181,180,179
23,186,186,186,185,185,186,186,185,184,183,183,181,180,179,178,178,177,176,174,173,172,170,168,166,165,151,61,36,188,188,188,187,187,188,188,187,186,185,185,184,182,181,181,180,179,178,176,174,173,172,170,168,168,144,49,32,189,189,189,189,190,190,190,189,189,188,187,187,186,184,183,182,180,179,178,177,176,174,173,171,172,125,39,28,192,192,191,192,193,193,193,193,191,190,188,188,187,186,186,185,183,181,180,179,178,177,175,173,174,105,30,22,195,194,194,195,195,195,195,195,194,193,192,189,180,181,183,181,177,180,183,181,180,179,176,174,170,83,26,16,196,196,196,196,197,196,196,196,195,194,193,179,155,148,156,156,144,131,171,184,181,180,179,177,167,66,24,12,198,198,199,199,199,199,197,198,197,196,189,171,168,150,146,155,146,107,119,184,184,182,181,180,173,80,26,13,200,200,200,200,200,201,200,199,199,197,188,173,155,121,108,130,125,114,87,146,186,184,182,181,179,105,39,16,201,200,201,201,201,202,202,200,200,196,189,168,139,98,127,143,146,122,103,90,161,187,184,181,180,132,91,29,202,201,202,202,203,203,203,202,201,193,184,153,139,103,183,196,194,166,123,97,145,189,186,184,181,152,121,70,203,203,203,203,203,204,204,204,200,186,175,140,135,131,196,198,197,194,182,171,185,189,187,185,183,161,120,140,204,204,204,204,206,206,205,205,196,182,167,132,128,157,183,176,172,161,163,193,192,190,188,187,185,167,141,144,206,206,206,207,207,207,206,202,182,172,161,147,150,161,167,167,164,144,106,180,188,188,189,188,186,177,160,154,208,208,208,207,207,207,205,185,160,157,161,168,177,184,182,174,160,134,98,166,176,161,185,189,187,185,170,133,209,209,209,208,208,209,200,182,166,158,159,163,171,168,159,150,140,132,104,142,175,142,160,192,189,187,182,148,209,210,210,209,209,210,198,181,169,156,150,155,162,165,166,160,145,129,103,86,137,116,138,193,190,188,186,178,211,211,212,211,211,211,193,185,183,163,154,154,160,165,161,158,149,99,73,50,82,76,135,195,192,190,187,186,212,214,215,215,213,213,189,183,181,160,153,159,165,167,162,156,137,85,54,38,51,86,176,194,192,190,188,186,214,215,215,215,214,214,188,171,181,174,173,173,168,165,154,139,107,71,52,46,68,164,197,195,193,192,190,187,213,214,214,214,214,214,186,168,187,183,177,170,146,130,112,88,81,69,53,54,142,198,196,194,194,192,190,187,214,215,214,214,215,214,185,169,183,175,168,156,128,91,59,60,75,63,51,83,187,197,195,194,192,190,189,187,215,216,216,215,215,216,185,170,174,168,166,157,125,78,47,56,57,54,54,123,200,197,195,193,192,190,182,168,216,216,216,216,216,216,183,170,169,167,169,162,118,65,41,43,50,59,62,161,202,199,196,195,188,156,128,132,216,217,217,217,217,217,183,168,169,177,178,154,105,70,49,52,63,63,85,191,201,200,190,151,115,82,121,136,216,217,218,218,218,218,180,164,171,182,174,140,100,75,55,57,67,62,132,204,194,164,114,65,54,56,124,146,163,166,169,172,177,181,161,162,176,183,168,130,94,76,58,56,61,78,172,163,112,72,51,46,43,45,105,153,106,106,105,105,107,108,138,165,174,176,158,122,91,74,57,53,58,75,96,70,47,53,42,43,36,39,71,149,113,113,115,113,110,112,147,166,169,164,142,112,83,69,54,50,57,58,60,45,38,52,39,38,35,36,42,108
12,131,132,134,135,136,137,137,138,142,142,141,145,147,145,144,145,147,147,147,148,146,147,146,147,147,146,147,148,132,134,134,136,137,137,137,139,141,138,143,136,131,146,148,140,130,138,148,147,147,149,149,148,147,148,148,148,133,134,135,136,137,138,138,142,140,160,163,127,95,99,161,138,112,88,142,154,151,150,150,149,148,147,148,148,134,135,135,136,138,139,143,137,159,193,169,121,107,77,153,132,115,90,94,117,127,149,149,148,149,149,150,149,133,135,136,137,138,139,141,139,177,162,162,135,138,81,128,147,128,92,69,102,84,94,153,150,151,152,152,151,135,136,137,138,139,141,140,145,187,138,147,150,130,84,117,157,134,85,79,113,98,55,131,159,151,152,153,151,136,137,139,140,143,142,141,155,193,137,151,128,101,64,54,124,102,71,92,128,106,68,126,159,151,153,152,151,137,139,140,142,141,145,135,129,164,98,141,134,110,72,34,63,57,42,142,143,104,69,142,156,153,154,153,151,138,139,141,140,145,166,140,110,95,82,111,138,130,130,111,104,87,49,113,117,80,68,155,153,155,155,153,152,138,141,142,136,175,181,148,125,85,84,107,114,112,130,135,134,133,92,47,56,57,88,163,154,155,154,153,152,140,144,137,158,181,175,162,133,98,85,117,102,78,101,105,136,157,128,83,38,44,117,165,154,154,154,153,153,140,143,137,186,161,161,167,140,106,81,81,92,74,76,86,149,159,149,126,66,43,139,161,156,156,154,153,153,140,138,157,181,133,121,156,143,117,92,71,82,73,88,109,147,154,156,147,102,59,151,159,158,156,155,155,154,140,137,173,169,148,126,120,150,122,91,72,83,72,85,95,136,160,150,152,130,77,153,160,157,155,156,155,155,140,138,181,175,157,129,92,136,130,91,74,71,74,87,110,125,139,156,137,142,88,130,165,155,158,157,157,157,139,140,176,148,120,100,76,91,143,106,97,64,85,89,130,156,143,143,131,123,104,92,166,157,158,158,159,159,139,142,185,160,140,118,100,82,120,129,129,84,93,110,156,161,157,140,122,109,101,79,164,159,158,159,158,158,142,143,190,170,144,124,112,92,88,116,109,97,107,149,171,163,157,139,122,103,82,94,167,158,159,159,159,159,143,145,192,172,149,133,120,94,91,117,88,101,134,171,172,162,153,138,124,103,70,111,169,158,160,160,159,159,143,148,196,175,155,141,127,101,95,126,106,129,164,182,171,160,148,136,123,103,64,124,169,159,160,160,159,159,142,153,201,175,155,146,134,117,98,119,123,142,180,183,171,157,143,135,121,97,61,140,165,160,160,159,159,159,139,155,203,177,160,150,135,131,110,115,134,143,188,178,166,154,141,134,114,90,69,154,164,161,161,160,160,160,141,152,198,181,170,152,141,135,124,111,141,143,189,173,158,152,142,131,111,81,78,162,160,161,162,161,160,160,145,147,187,185,176,160,147,142,134,115,139,144,183,171,149,145,140,126,109,73,99,169,159,162,162,161,160,160,146,142,177,190,175,164,152,148,137,119,127,141,176,167,146,142,138,118,104,64,128,168,158,162,163,161,161,160,146,141,169,195,177,168,157,149,137,124,123,129,165,164,144,138,132,118,97,68,151,165,161,161,163,162,161,161,146,142,160,199,181,167,157,144,131,126,126,124,150,156,134,130,128,121,81,87,168,159,162,163,163,162,161,161,145,141,163,203,177,160,152,141,129,121,125,126,140,146,130,125,128,114,68,122,170,160,162,163,162,162,163,161
1,135,138,141,142,144,147,148,149,149,150,151,151,152,151,152,153,152,152,152,151,152,152,152,152,151,150,150,149,138,141,144,145,147,149,150,151,151,153,153,154,153,154,154,154,155,155,155,154,155,155,155,155,155,153,152,152,140,144,146,148,150,152,153,154,154,155,156,156,156,156,159,159,156,159,158,157,158,158,158,158,157,156,155,155,142,145,149,150,153,154,156,156,157,159,158,159,160,162,143,150,162,159,160,159,160,160,160,160,159,159,158,156,145,148,150,154,156,158,159,159,160,160,159,162,154,169,136,112,175,163,160,161,161,162,162,162,160,160,160,158,147,150,154,157,158,160,161,161,161,162,160,175,148,137,146,93,137,148,166,162,164,164,164,163,163,162,161,160,149,153,156,159,160,162,163,163,163,164,162,180,148,132,157,88,124,104,168,165,167,167,167,166,165,165,164,162,152,156,158,161,162,165,165,166,166,167,161,182,156,128,172,105,134,103,150,172,167,168,168,168,167,166,166,165,155,157,159,162,164,166,167,168,167,173,150,145,175,118,171,115,132,121,130,177,169,170,169,169,169,168,167,166,157,160,162,165,166,167,168,171,168,179,148,118,180,113,159,129,143,158,114,174,172,173,173,172,171,170,169,167,158,161,163,166,167,168,170,172,170,183,152,123,178,118,161,146,128,171,114,160,178,173,174,173,173,172,171,170,159,162,164,166,169,170,172,173,171,188,154,129,194,132,153,160,113,174,129,138,183,174,175,174,174,174,173,172,160,164,166,167,170,172,173,175,173,185,152,123,189,118,121,160,101,178,149,121,183,176,177,177,175,176,174,173,162,165,167,169,172,173,174,176,174,186,166,107,163,127,122,151,121,160,144,114,174,180,179,178,177,177,176,175,162,165,168,170,172,174,176,177,176,190,156,107,140,180,143,142,171,144,124,106,158,185,178,179,179,178,178,177,162,166,169,171,173,176,177,177,178,185,162,158,125,152,157,178,172,135,123,107,124,189,178,180,181,179,179,179,164,166,171,173,174,176,178,177,181,184,164,158,122,137,186,185,168,176,140,106,96,182,183,182,182,180,180,180,164,167,170,173,176,177,177,177,184,190,153,136,143,166,163,137,134,200,187,149,89,165,187,182,184,183,183,181,163,167,171,173,175,178,178,178,184,202,156,130,131,124,114,119,158,185,184,155,114,142,192,182,184,183,183,182,165,167,170,173,174,176,177,178,181,208,173,127,138,137,157,186,197,176,167,139,98,129,193,183,184,183,183,184,165,167,170,173,175,176,178,178,180,204,193,134,153,146,183,201,196,182,158,133,81,130,194,182,184,184,183,184,165,168,171,173,175,178,178,179,180,201,205,149,164,149,176,205,204,184,148,122,80,137,195,183,185,185,183,183,165,167,170,172,174,177,178,180,179,194,204,167,177,158,162,209,203,173,142,112,80,159,193,185,186,185,184,183,168,170,174,175,176,179,180,181,179,185,201,186,177,167,148,204,196,166,136,103,82,175,189,186,186,185,185,185,153,157,161,166,170,174,176,177,180,178,197,201,180,164,138,186,189,156,126,96,96,193,194,195,190,185,185,186,93,95,96,100,104,105,107,110,114,111,181,194,169,157,135,162,174,144,115,96,104,160,157,157,173,192,188,183,94,94,94,94,94,95,95,94,96,86,162,186,164,153,133,146,165,141,109,96,92,88,110,153,178,176,185,182,95,98,104,102,101,100,98,98,101,92,159,185,167,148,137,145,163,135,96,91,111,159,195,196,175,152,152,180
16,52,52,54,54,55,68,80,91,102,111,118,125,128,129,132,138,142,148,152,156,159,163,165,168,171,172,176,178,51,52,54,54,55,68,81,92,102,110,120,126,127,129,132,136,141,148,152,157,160,163,166,169,172,173,176,179,50,50,52,53,54,68,80,92,100,110,119,125,127,126,131,135,138,145,151,155,158,162,164,168,171,174,176,178,49,50,54,53,54,69,79,91,102,112,119,124,126,127,126,137,143,145,149,155,158,161,163,167,172,173,176,178,50,49,52,52,56,69,80,91,101,107,115,117,143,149,116,100,124,150,156,153,156,161,165,168,172,174,177,179,49,49,51,50,55,68,79,92,96,119,129,147,169,146,118,91,68,81,125,158,163,162,165,167,173,174,177,178,48,49,50,49,54,66,81,81,117,180,164,166,153,121,101,97,77,54,44,82,136,159,169,172,172,173,176,178,48,49,50,49,52,67,75,85,174,173,150,140,131,111,93,76,74,66,51,44,50,77,109,140,169,179,176,178,46,48,49,47,53,63,75,169,175,136,127,120,107,96,75,63,67,73,57,55,49,44,44,54,89,144,178,183,45,47,49,46,53,48,123,180,133,120,110,95,81,69,61,61,54,81,66,62,56,49,44,42,41,55,103,162,39,39,40,39,41,104,140,128,113,105,86,70,60,52,58,45,44,76,75,84,60,53,45,41,44,44,39,63,92,86,89,81,115,163,119,106,99,79,62,55,43,47,53,21,47,79,84,87,66,58,44,41,40,43,46,39,83,87,87,85,183,163,123,91,68,59,51,38,34,48,29,5,63,81,85,88,71,62,48,46,39,40,43,43,79,84,65,121,187,147,105,69,41,38,30,24,35,29,0,4,67,77,83,100,87,75,56,49,38,38,41,40,89,84,93,176,157,124,75,46,27,33,16,5,0,0,0,0,63,73,90,116,107,86,70,42,36,40,39,36,91,74,145,155,118,87,51,30,23,26,0,0,0,0,0,0,50,74,97,127,95,91,79,36,34,36,35,33,80,108,168,125,78,49,34,26,27,25,6,0,0,0,0,0,22,66,119,117,69,93,78,32,34,31,34,33,80,164,149,93,50,23,23,29,34,35,36,15,0,0,0,0,0,90,141,88,60,82,58,31,34,32,34,29,126,151,99,55,33,54,37,36,39,41,40,32,11,13,15,0,28,147,115,67,55,55,36,31,31,32,28,26,158,97,57,21,62,83,53,63,53,49,43,34,28,28,23,6,118,138,92,55,41,33,27,32,30,27,30,34,109,59,22,46,80,59,59,59,56,49,44,35,27,25,4,56,159,118,72,39,29,24,25,27,23,29,36,36,63,29,48,86,86,80,78,60,47,40,45,29,29,43,48,127,161,121,50,27,24,27,29,26,28,34,33,33,68,69,85,86,89,89,87,87,78,72,79,74,78,89,82,161,165,127,46,10,18,33,31,29,31,32,34,34,90,88,86,85,87,88,87,89,89,91,89,90,90,89,83,164,170,132,60,18,67,48,42,37,36,38,37,37,86,84,85,86,88,87,87,88,86,87,89,89,89,91,79,136,153,118,50,71,119,60,53,53,51,49,41,38,86,86,84,86,88,86,86,87,87,89,88,88,90,92,84,99,126,82,46,79,128,106,66,58,63,65,54,41,86,86,85,85,87,87,86,86,87,87,86,87,90,89,88,88,94,66,63,81,106,144,103,87,82,81,70,57,85,86,86,86,87,87,87,87,87,87,88,88,90,89,90,90,90,89,90,85,86,157,130,111,101,92,81,68
18,174,175,175,177,178,178,177,178,178,176,175,174,174,173,172,172,172,171,170,169,168,167,165,164,163,162,160,159,175,176,177,178,178,179,179,179,179,178,177,176,176,175,175,175,174,173,172,172,170,168,166,165,164,162,160,160,177,177,178,179,179,180,181,181,180,179,180,178,177,179,178,171,165,172,174,174,172,171,167,166,165,164,163,161,178,179,179,180,180,181,182,182,181,181,178,150,131,159,168,138,113,127,170,159,140,146,166,168,166,166,165,164,179,180,180,181,182,183,183,182,180,184,177,137,106,101,141,138,103,82,118,129,107,92,130,171,169,166,165,164,180,181,182,182,183,184,185,164,141,153,171,145,119,96,122,156,111,92,78,114,108,82,79,160,170,168,166,165,181,183,184,184,184,185,189,164,135,120,138,158,126,103,102,154,115,103,97,98,105,91,66,142,172,169,167,166,182,184,185,186,186,187,188,174,153,134,112,143,138,106,86,124,127,117,111,105,117,102,68,140,172,171,168,167,182,184,185,187,187,190,178,172,162,140,116,105,135,111,88,99,133,126,116,113,116,100,68,143,175,171,170,169,184,185,187,188,187,192,175,142,149,137,105,75,121,114,86,81,122,117,114,113,109,97,66,131,176,173,170,169,185,186,187,189,188,191,164,111,124,130,83,61,99,95,70,67,101,83,100,128,125,102,71,116,177,174,171,170,185,187,188,189,189,193,166,132,120,125,78,60,83,77,60,56,78,64,85,153,140,111,79,100,177,175,173,172,187,188,188,189,190,195,177,153,118,120,90,66,81,83,60,54,73,63,69,140,145,119,87,82,171,177,175,173,188,188,189,189,191,195,179,148,118,100,83,61,81,88,59,53,71,103,134,148,159,134,96,69,156,179,176,174,188,189,189,190,192,193,163,131,109,89,71,59,67,67,59,70,104,153,163,153,152,135,97,65,144,181,177,175,188,189,191,192,193,193,174,149,125,103,84,79,75,80,99,125,156,171,166,159,135,120,87,62,148,181,177,176,190,191,193,193,193,195,183,159,132,104,84,82,91,107,132,157,176,175,159,146,125,98,75,71,166,180,179,178,191,192,193,194,194,194,186,165,138,111,94,91,96,114,152,175,183,173,150,134,114,87,61,99,180,180,180,178,191,192,193,194,194,193,187,171,146,124,105,100,97,127,168,182,180,164,143,125,108,79,56,141,183,180,179,178,192,193,194,195,195,191,183,170,148,129,113,107,104,137,175,176,169,156,137,117,100,72,71,171,183,181,180,179,193,195,196,197,196,190,176,162,147,132,120,116,109,141,172,169,160,146,130,109,90,62,103,184,183,182,181,179,193,195,196,196,197,193,174,164,152,136,126,126,114,143,165,163,151,132,118,100,79,57,144,187,183,182,181,179,195,196,196,197,198,197,180,163,154,143,134,129,116,143,159,157,145,124,106,88,65,77,177,186,184,182,182,180,195,197,197,197,198,200,188,165,157,149,137,126,114,131,153,147,134,114,94,76,53,126,189,187,185,184,182,181,195,197,197,197,197,199,195,177,164,151,140,128,116,120,140,137,121,102,83,62,72,175,188,187,186,185,183,181,195,195,196,198,199,201,198,186,170,156,143,133,122,118,130,128,111,93,74,51,127,190,188,187,187,185,184,181,195,196,196,197,199,200,199,193,177,155,140,131,126,123,124,122,106,88,63,76,178,191,189,188,187,186,184,181,196,197,198,198,199,201,198,193,178,158,149,146,140,133,121,117,101,80,56,122,192,191,189,188,187,186,184,182
21,187,188,188,189,189,190,190,189,188,189,190,186,189,189,186,185,185,184,184,182,181,180,178,176,176,174,170,169,190,190,190,191,193,193,193,192,192,190,199,182,151,191,190,189,188,187,186,185,184,182,181,180,178,177,174,172,192,193,194,195,196,195,195,196,197,195,197,196,141,164,199,192,192,191,189,189,187,185,185,182,184,180,177,176,195,196,196,197,198,197,198,199,199,199,197,198,164,129,200,196,196,195,193,192,190,188,190,173,151,185,180,178,198,198,199,199,200,200,201,202,201,200,200,202,182,112,182,202,197,197,195,196,194,190,195,168,116,181,185,181,201,201,201,202,202,202,203,203,202,202,203,202,196,130,154,209,198,199,197,197,196,192,203,155,121,188,186,183,202,203,204,203,204,205,206,205,204,204,205,206,208,155,132,205,202,201,200,199,197,199,195,137,135,198,186,186,204,206,207,207,207,207,207,207,207,207,208,208,215,168,118,193,207,202,201,202,198,207,189,123,159,199,188,188,207,208,209,210,209,210,209,209,209,209,210,208,220,185,124,175,212,203,203,202,203,205,173,120,185,197,191,189,209,210,211,212,212,213,212,212,212,212,212,209,216,205,147,157,215,204,206,205,206,191,143,131,203,195,194,191,212,213,213,213,214,214,213,213,214,214,213,213,210,208,168,142,211,208,207,209,208,185,112,164,206,197,196,194,213,214,214,214,215,215,214,214,214,215,215,216,194,173,166,130,202,212,208,214,207,166,120,202,202,199,197,195,214,215,216,216,215,215,215,216,215,215,217,214,211,202,184,143,189,221,211,214,194,134,153,214,201,201,199,197,215,217,218,218,217,217,218,218,218,218,221,209,196,221,212,182,149,191,203,191,168,116,190,212,205,203,201,199,218,220,219,220,220,219,219,219,220,220,221,214,175,159,205,185,167,130,158,168,128,127,215,207,207,204,202,201,219,220,220,220,220,221,220,220,221,220,221,216,177,101,107,192,186,117,102,126,103,147,221,207,207,206,204,202,220,220,220,221,221,221,222,222,222,222,224,221,187,152,113,147,172,117,111,102,91,160,223,209,209,207,206,204,221,222,222,222,223,223,222,223,223,224,220,203,203,194,161,113,159,139,120,131,94,169,223,211,211,209,207,205,223,223,223,224,225,226,225,226,226,226,209,209,210,198,183,163,129,151,133,141,89,150,226,211,212,210,208,206,223,225,225,226,227,226,227,227,228,224,210,201,165,172,197,181,148,113,136,123,89,108,222,213,213,211,209,207,223,225,225,225,226,226,226,226,227,224,212,201,162,105,139,179,144,85,108,143,112,79,168,224,212,213,210,207,224,225,225,226,225,226,226,226,227,224,212,197,167,137,92,131,119,92,98,150,139,86,126,224,209,209,212,214,224,226,226,227,227,226,227,227,228,226,207,198,190,151,107,128,150,99,123,167,150,85,145,226,214,217,194,150,223,224,225,226,227,226,227,227,228,226,203,199,199,146,127,151,219,179,163,166,122,80,195,217,186,140,94,74,231,231,232,233,232,231,231,231,232,231,207,204,184,165,124,153,214,204,170,145,111,88,151,114,89,72,73,79,189,192,197,201,205,208,211,214,218,220,204,192,179,159,115,147,198,180,156,135,110,82,76,76,83,64,73,81,126,126,127,127,130,131,130,132,133,129,161,192,182,152,122,146,195,177,145,116,93,76,77,71,81,57,63,84,135,135,134,134,134,137,137,135,138,130,148,196,179,154,134,133,178,163,127,100,77,71,71,65,73,53,58,81
8,193,198,202,206,207,211,214,215,216,218,221,221,222,223,223,223,223,222,222,220,219,219,219,216,216,216,214,213,195,200,204,207,209,212,215,217,220,222,223,223,224,225,226,224,224,224,224,224,223,222,220,220,219,217,215,215,196,202,206,208,212,213,217,221,220,224,225,226,226,228,228,227,227,225,226,226,225,224,222,223,221,219,219,219,197,203,207,211,215,216,218,222,225,225,227,228,230,229,229,229,228,228,228,228,229,226,225,223,222,221,222,220,200,205,208,213,216,217,229,209,205,233,229,230,230,230,230,230,231,230,230,230,230,229,227,226,225,225,223,222,201,207,211,214,218,217,241,203,156,231,231,232,232,232,233,232,233,233,232,232,231,229,229,230,229,227,225,224,203,209,213,216,220,217,240,216,138,212,237,233,234,235,235,235,235,235,234,233,232,231,230,231,229,228,226,225,204,208,213,217,220,219,237,235,137,195,241,235,237,236,235,237,238,236,236,235,235,235,233,231,230,229,229,229,206,209,214,219,222,223,229,233,143,175,247,236,238,240,242,238,238,238,241,236,235,235,235,234,232,231,230,230,207,212,215,220,224,227,227,247,186,155,242,239,237,220,213,242,238,205,200,244,240,241,235,236,236,234,231,229,207,212,216,220,223,228,227,252,208,137,223,242,255,237,185,207,255,211,150,197,206,205,240,236,237,236,234,233,209,213,217,221,224,229,229,246,216,160,187,247,255,255,215,154,251,222,213,159,160,152,178,248,236,237,236,236,211,214,219,223,226,232,231,242,247,198,177,233,255,255,241,151,203,226,223,208,180,178,143,220,242,236,237,236,211,217,221,223,229,234,236,237,253,195,189,225,231,255,245,164,164,219,182,232,234,237,219,151,218,244,236,236,214,219,222,225,231,233,237,237,250,230,214,246,233,234,246,170,135,198,132,197,230,237,228,147,185,252,237,239,215,219,224,229,231,235,238,236,255,255,210,209,227,208,244,194,131,162,136,147,205,239,227,150,178,254,238,239,216,220,226,230,233,236,239,236,255,244,179,184,196,176,221,254,168,131,128,142,229,255,239,152,173,255,238,240,217,222,227,231,233,235,240,239,255,255,208,182,174,167,188,208,160,146,121,150,236,255,239,154,174,255,240,244,216,222,227,231,234,236,241,240,255,255,232,188,173,177,160,197,210,163,142,206,238,255,229,150,158,255,242,245,217,223,229,232,236,236,241,239,255,255,234,201,167,155,165,232,242,214,226,248,232,234,196,141,140,251,244,244,220,225,230,233,237,238,244,240,255,255,241,219,190,155,169,225,250,255,255,242,216,191,169,125,165,255,243,245,220,225,230,233,238,240,244,241,255,255,244,228,207,169,162,219,255,255,255,238,202,163,142,115,225,252,245,245,221,226,231,235,239,243,245,242,255,255,251,230,220,185,178,229,255,255,250,224,187,146,108,165,255,246,247,246,220,226,231,235,237,241,245,245,255,255,255,241,231,199,182,246,255,252,224,199,166,128,113,236,253,250,248,246,219,224,229,232,236,239,244,244,253,255,255,245,235,209,185,246,255,231,206,175,150,107,172,255,246,248,247,245,220,225,230,233,237,241,245,245,251,255,255,247,229,198,182,234,235,217,198,164,131,115,243,252,249,247,247,246,221,225,231,236,237,241,244,246,252,255,255,236,211,177,184,226,206,192,184,158,103,189,255,249,250,249,249,247,222,228,231,236,238,240,245,242,254,255,252,231,195,185,194,216,194,175,171,131,138,255,252,250,251,250,250,247
24,143,148,154,158,161,163,166,168,168,169,171,172,172,171,173,172,171,170,170,170,169,168,167,168,167,166,164,162,145,150,156,159,161,164,166,168,169,171,173,173,173,174,174,173,172,172,173,172,170,170,168,169,168,167,165,164,146,152,156,158,165,165,168,169,170,172,174,174,174,174,175,174,173,173,174,173,172,171,170,169,168,166,166,165,148,150,167,181,148,168,169,171,172,174,175,175,175,175,176,176,175,174,174,173,173,173,171,171,169,167,167,166,150,147,186,201,121,172,171,172,173,175,176,178,177,176,178,178,176,175,174,174,174,174,173,172,170,168,168,167,151,149,190,195,115,170,173,174,175,177,179,180,180,180,179,179,178,177,177,175,174,175,174,173,172,171,168,168,153,150,189,201,112,162,177,175,178,179,179,181,182,181,180,180,179,179,178,177,177,175,175,173,172,172,170,169,154,152,184,209,123,158,178,175,178,181,180,181,182,182,181,182,182,181,179,179,178,177,176,175,174,173,172,171,156,156,179,212,127,149,182,177,181,180,183,183,182,183,185,183,183,182,181,180,179,179,178,176,176,175,173,171,155,157,175,219,147,130,181,180,180,189,184,179,197,192,172,186,183,182,183,181,180,179,177,176,177,176,175,174,156,161,173,228,175,130,212,191,165,221,187,136,209,208,137,157,193,185,185,183,183,183,182,182,178,176,176,174,157,163,170,218,182,162,246,190,172,226,190,139,203,194,150,118,184,189,186,186,183,176,170,165,179,177,176,174,159,166,168,214,203,196,249,190,172,233,182,150,220,181,140,99,158,195,185,186,163,139,120,99,158,184,177,177,161,168,167,218,224,210,250,199,155,235,172,154,218,175,117,86,150,192,186,181,141,110,114,138,172,183,179,178,161,166,176,216,218,206,237,203,147,220,174,158,208,165,92,63,143,195,184,158,119,136,184,189,184,181,181,180,163,164,186,212,186,192,217,201,141,209,180,158,205,142,75,104,160,188,148,121,129,192,190,186,185,183,182,180,165,165,194,235,172,165,200,190,134,213,172,160,200,129,161,189,175,151,112,117,184,193,189,189,188,187,184,183,165,163,200,252,189,153,190,185,148,221,150,147,204,194,206,180,153,135,106,177,198,191,191,190,190,189,186,183,165,163,203,255,202,145,183,195,179,213,136,176,229,201,184,173,137,115,157,202,192,191,191,190,190,188,186,183,165,164,202,251,204,158,175,187,174,193,203,233,216,193,179,157,119,129,200,195,194,193,192,190,189,187,186,184,166,165,202,250,212,185,168,194,232,244,247,218,201,190,170,133,110,177,201,196,196,195,194,193,190,189,188,185,166,166,191,251,223,193,181,205,244,246,237,212,189,169,152,113,157,204,196,197,196,197,194,194,192,189,189,187,164,170,179,244,226,196,190,212,248,243,222,205,175,149,123,139,203,198,198,197,196,196,192,192,192,190,189,188,167,173,182,233,214,196,192,213,236,223,203,183,160,133,127,198,207,204,205,204,202,201,199,198,196,198,194,186,139,138,145,221,206,203,200,209,223,213,184,158,142,119,127,147,141,141,140,139,139,139,139,139,139,128,132,162,115,112,107,209,215,210,208,212,218,202,165,142,130,113,108,104,103,102,101,100,99,99,100,92,87,125,177,189,121,123,109,209,234,213,216,213,208,190,154,134,120,114,115,115,115,113,112,111,109,111,109,124,182,212,193,168,121,122,107,201,246,219,225,207,194,185,157,125,112,113,113,114,114,112,112,112,112,105,141,212,212,181,179,154
24,180,181,182,182,183,183,185,185,185,185,186,186,185,185,186,185,184,182,181,180,180,179,178,176,175,174,173,171,183,185,185,186,187,188,188,188,189,189,189,188,188,188,188,187,187,186,185,184,183,182,179,181,180,176,176,175,186,187,188,189,190,190,190,192,192,192,192,191,189,191,192,190,190,189,188,187,187,186,183,172,173,183,179,178,189,190,191,192,193,194,195,195,194,195,193,194,194,194,194,194,193,192,191,189,188,187,190,163,118,183,182,180,191,193,194,195,195,195,196,195,196,198,198,196,196,195,195,195,195,194,193,192,191,188,196,167,101,177,185,182,194,195,195,196,197,198,199,199,200,196,193,202,197,198,198,197,197,196,195,194,194,191,202,165,103,180,189,185,196,197,198,198,200,202,202,201,204,191,129,185,206,201,203,202,201,199,198,196,197,194,206,153,109,189,190,188,199,200,202,203,203,202,203,203,207,182,121,131,212,202,205,204,203,202,202,201,198,200,211,150,118,198,191,190,202,202,204,205,205,205,205,204,209,194,148,104,198,208,204,206,206,204,203,202,197,207,202,133,128,204,192,192,204,205,206,205,207,208,208,208,208,206,169,100,170,217,204,207,208,208,204,205,204,220,188,107,143,207,193,195,206,206,208,209,209,209,209,209,209,212,186,119,132,220,207,210,208,203,211,202,161,169,190,101,173,205,197,197,208,209,210,210,210,210,210,210,210,213,198,150,102,205,215,209,183,153,172,185,142,90,132,115,197,204,201,199,210,210,211,212,212,213,213,213,212,215,206,164,95,162,226,195,185,168,146,142,139,137,92,112,210,203,203,201,210,212,213,214,214,215,215,215,215,216,212,178,132,122,220,184,197,166,159,153,162,167,80,128,219,202,203,202,213,214,215,215,216,217,217,216,216,216,217,197,170,101,159,155,198,184,144,149,150,149,95,134,220,203,204,203,214,215,216,217,216,217,218,218,217,217,220,210,173,130,135,139,173,198,128,77,128,178,125,97,212,208,207,205,215,216,217,218,218,218,219,218,219,220,223,213,196,189,141,113,134,185,120,63,99,182,152,88,160,219,206,206,217,218,220,221,221,221,221,221,221,221,223,214,206,186,121,91,122,165,102,62,124,198,189,123,93,212,208,208,219,219,221,222,223,223,223,223,223,224,223,221,207,175,145,127,128,162,119,89,201,206,184,127,84,202,212,209,220,222,223,223,224,224,225,225,225,225,225,225,209,197,185,141,125,163,122,167,218,193,169,101,93,215,210,210,220,221,223,224,224,225,226,226,225,225,226,227,207,199,201,152,137,113,156,221,214,179,157,92,112,226,209,211,218,220,223,222,224,225,224,224,225,225,225,228,210,193,203,171,150,110,199,217,203,176,147,87,135,227,211,211,219,221,223,223,225,225,224,225,225,226,226,229,213,191,187,179,163,116,180,213,194,165,136,75,153,225,210,210,222,221,223,225,225,226,226,226,227,227,227,230,219,186,187,186,178,135,165,214,192,153,117,70,184,223,213,212,222,222,223,224,226,227,227,227,227,228,230,229,228,197,192,183,187,151,136,201,174,132,89,83,217,216,214,213,230,229,230,230,231,231,232,232,231,231,232,231,235,209,197,189,185,153,116,167,146,109,61,116,230,213,213,215,183,187,192,196,201,204,207,212,214,217,222,223,227,211,199,187,171,148,125,130,141,99,62,188,230,220,222,211,117,116,115,117,118,120,122,126,127,129,132,135,129,174,210,183,172,167,142,129,145,87,79,169,172,171,154,114
10,39,42,47,50,60,77,89,98,102,106,112,118,123,126,137,127,129,139,138,139,139,139,139,137,138,137,135,133,40,43,47,51,62,80,91,100,103,109,114,120,124,129,170,108,97,144,138,139,141,141,139,138,138,138,136,133,41,44,48,52,65,82,92,101,104,109,116,124,126,137,169,116,77,141,142,142,143,143,141,141,140,139,137,136,42,46,49,54,66,83,95,103,106,112,119,125,130,138,169,137,71,134,148,144,145,145,143,141,142,141,140,138,43,47,51,54,67,84,98,105,108,115,122,128,134,136,170,161,83,124,153,147,147,146,146,146,145,143,141,140,44,47,53,55,70,88,99,107,110,116,124,130,136,137,181,171,92,111,158,147,148,149,148,148,147,146,144,141,45,48,54,56,72,89,102,109,112,118,127,133,139,137,179,168,102,100,159,150,152,152,151,150,149,148,146,144,45,50,54,56,73,91,104,110,113,122,129,135,141,139,183,178,102,82,160,153,154,154,153,152,150,150,148,147,45,49,53,57,75,93,106,112,116,122,130,138,142,140,187,186,116,66,155,156,156,156,155,154,153,152,150,149,46,49,54,59,78,93,107,117,120,131,164,104,124,148,178,165,117,56,142,163,157,158,158,156,155,154,153,152,47,51,55,61,75,113,148,104,71,115,148,58,81,159,169,145,103,45,123,168,159,160,159,158,157,157,155,155,47,52,55,63,74,131,145,66,40,54,96,58,20,119,159,121,112,50,114,172,161,162,161,160,159,159,157,156,48,52,55,63,80,104,106,67,55,44,83,67,25,27,82,88,120,72,91,175,162,163,162,162,160,159,159,158,48,53,55,63,83,100,113,116,109,97,99,74,55,25,27,47,85,79,59,164,166,164,165,163,163,162,161,159,50,53,56,63,84,101,117,124,135,141,86,92,74,65,39,30,55,62,39,144,174,168,167,165,165,164,163,161,50,53,56,65,84,102,118,122,152,136,56,75,119,100,80,49,37,47,30,134,179,169,169,168,167,166,164,162,48,52,56,66,87,103,121,127,143,150,113,45,82,130,106,86,55,35,23,110,182,170,171,170,168,167,165,163,49,53,54,64,89,101,140,144,107,162,126,62,64,177,124,106,83,34,16,62,180,172,173,172,171,169,168,166,50,54,55,65,89,101,155,176,104,110,116,67,122,201,142,115,94,44,18,46,178,176,174,174,173,172,171,169,50,53,55,67,89,104,141,176,126,67,123,105,127,201,139,108,95,58,21,45,180,178,177,177,174,173,172,170,50,53,55,68,91,109,122,148,138,78,124,155,131,183,151,112,87,62,29,43,179,179,178,178,176,174,173,172,50,52,55,69,92,110,122,137,139,80,123,205,108,151,155,126,84,56,35,40,179,181,180,179,178,176,175,173,49,51,54,69,91,110,125,127,152,118,145,127,54,116,155,115,80,52,34,49,183,181,181,179,179,178,175,173,50,54,54,68,93,111,127,129,145,179,149,71,79,139,138,104,72,48,32,66,190,181,183,181,179,179,176,175,47,52,53,69,92,112,124,129,132,165,177,152,126,146,117,90,65,51,31,86,194,179,182,181,180,179,177,176,46,49,51,68,91,110,124,127,135,154,171,155,112,115,102,77,66,61,35,99,193,179,182,181,179,178,177,176,45,46,50,68,92,109,126,129,140,44,133,161,98,118,122,118,99,78,32,117,194,182,183,181,180,179,179,176,44,46,48,66,90,109,122,138,80,0,121,180,150,143,126,139,116,77,23,121,197,182,184,182,180,180,179,176
8,188,190,188,190,191,191,191,191,190,192,192,190,193,193,191,192,193,192,191,190,189,189,188,188,187,186,186,185,190,190,190,192,193,192,192,193,192,192,193,193,177,184,196,194,194,194,193,193,192,190,190,190,187,187,187,186,192,192,192,194,194,194,194,195,194,194,191,205,160,144,202,194,196,195,195,194,194,193,193,191,191,189,189,188,193,193,194,195,195,196,195,194,195,195,195,208,141,142,205,195,196,198,196,196,195,195,195,193,192,191,191,190,195,195,196,195,197,197,197,196,197,194,204,204,114,158,205,196,197,199,198,196,196,196,195,194,194,193,191,190,195,196,196,196,199,199,198,199,200,195,212,201,106,171,206,199,199,200,199,198,199,197,196,196,195,194,194,193,196,197,198,199,199,199,199,200,201,196,217,187,109,189,205,200,200,201,199,199,200,200,198,198,196,195,195,195,198,198,198,200,200,199,200,201,201,199,220,160,116,201,200,202,205,200,205,204,197,199,200,201,200,196,196,196,199,199,200,201,201,201,201,200,199,205,215,156,118,212,197,159,183,204,174,189,208,202,204,194,193,199,198,198,200,200,201,201,201,201,202,203,198,212,214,165,127,231,208,158,137,201,147,131,157,161,182,173,126,195,200,198,200,201,201,201,201,201,202,203,199,217,212,162,163,244,216,185,124,178,169,124,109,141,165,168,85,188,204,197,200,201,202,202,202,202,203,203,201,218,207,163,191,242,228,198,119,151,172,125,171,150,178,181,91,186,203,198,200,200,202,202,202,202,203,202,209,208,193,188,191,217,234,196,124,133,158,138,189,146,182,196,124,170,211,198,199,200,201,202,202,202,204,203,215,182,188,198,186,180,233,201,132,109,142,161,177,136,175,196,162,130,206,202,199,200,201,201,202,202,203,204,217,171,166,190,170,173,220,209,136,88,123,170,167,112,157,200,156,100,192,206,200,200,201,201,202,203,201,206,224,170,136,161,154,145,202,208,128,79,114,171,156,99,172,185,121,119,208,200,200,202,202,202,202,203,201,211,234,181,124,137,129,124,163,203,156,77,105,182,146,113,182,146,94,172,210,200,201,202,202,202,202,204,202,220,234,200,122,128,127,124,149,191,173,78,101,166,122,158,153,102,116,209,201,201,201,201,201,202,203,204,205,223,230,212,136,110,128,121,141,181,132,103,169,178,162,186,135,81,169,210,202,204,201,201,201,202,202,203,204,226,229,220,141,115,138,124,162,204,186,198,194,179,156,159,131,83,196,208,204,205,200,203,205,208,209,210,207,226,229,217,140,126,138,139,198,217,217,210,189,178,144,124,102,116,212,204,205,207,126,131,136,137,141,138,162,230,226,210,146,153,133,168,223,222,219,212,194,168,133,104,82,173,213,204,200,196,94,93,95,94,94,87,115,236,227,209,168,161,140,170,229,228,223,202,185,152,119,93,90,113,113,119,145,182,103,104,104,105,104,104,109,222,228,215,179,162,156,162,230,232,210,185,170,132,104,88,90,105,139,180,206,207,105,104,103,103,103,105,97,208,226,207,177,163,158,163,234,220,196,169,146,114,88,107,163,198,218,214,215,208,104,103,101,103,105,105,102,210,214,192,173,163,153,180,224,199,181,145,122,100,76,196,234,195,186,189,194,205,102,102,102,102,103,101,116,219,204,185,171,165,160,188,196,185,162,126,119,86,114,200,215,217,194,176,182,184,102,102,102,102,105,95,131,225,195,183,175,169,168,184,183,175,148,118,112,94,181,187,174,198,208,179,148,144
15,61,60,63,61,66,68,69,73,75,85,99,109,119,124,130,136,138,141,144,149,153,157,159,161,163,166,168,170,60,61,61,60,65,66,63,70,75,86,99,108,118,125,131,136,138,142,146,148,151,157,160,161,164,167,169,171,62,61,61,61,64,64,83,69,70,87,100,111,121,126,132,138,139,141,147,152,153,158,161,163,166,170,173,173,62,61,60,64,48,109,175,124,91,86,94,109,121,131,135,141,141,141,144,151,155,159,162,165,167,170,171,173,63,61,59,64,50,112,180,162,148,133,114,116,109,122,133,140,143,144,148,152,156,158,162,167,168,169,171,173,62,62,62,63,63,65,124,127,122,142,140,141,127,117,112,118,123,131,139,150,159,165,167,166,169,170,174,175,60,62,61,62,66,65,69,85,86,106,118,125,146,140,130,125,122,125,123,115,119,127,147,175,169,173,174,177,61,62,61,62,63,67,68,70,77,88,92,87,119,128,127,120,124,141,150,133,107,89,67,136,178,171,176,177,62,63,62,63,65,69,71,71,76,88,100,103,110,114,111,105,100,140,150,153,127,115,78,56,157,179,174,179,60,62,62,63,65,67,70,70,75,90,101,113,123,126,125,116,116,155,152,153,139,134,111,81,74,171,180,178,61,62,62,62,64,65,69,72,76,87,97,112,120,132,141,131,167,167,138,144,161,143,136,115,69,80,178,180,62,62,63,62,65,66,69,71,76,87,120,120,122,120,128,161,174,158,106,148,160,141,164,130,92,51,98,190,61,63,63,64,65,66,70,73,66,120,165,138,146,140,115,132,130,95,72,138,138,135,174,137,97,72,47,126,61,62,62,62,62,65,67,71,70,114,139,147,174,174,129,94,109,83,45,125,114,144,166,138,105,79,59,54,61,60,60,61,63,66,67,70,74,88,108,126,167,166,121,121,131,119,108,109,115,128,136,126,103,77,60,57,60,59,59,59,61,65,65,68,74,89,102,119,132,115,114,138,135,127,135,139,122,83,79,98,87,73,59,55,59,58,57,59,60,61,62,64,73,91,102,106,122,131,97,120,137,140,146,149,124,78,59,70,70,67,68,57,56,56,56,58,60,60,61,63,72,88,102,107,135,204,109,59,63,123,136,141,116,73,63,69,67,69,72,65,55,55,56,56,57,59,62,64,73,89,100,105,132,190,115,49,4,42,109,124,97,73,72,71,68,69,74,71,55,55,56,56,56,58,60,61,73,89,100,105,127,178,102,37,62,22,52,107,73,65,69,75,76,73,73,69,55,54,55,55,57,58,60,61,71,88,100,105,127,177,91,56,78,52,69,96,112,88,87,86,82,78,72,68,52,52,53,52,54,57,58,60,70,84,96,108,120,185,72,73,106,79,124,76,124,103,93,84,76,72,70,64,49,49,50,50,51,53,57,57,67,83,95,103,130,196,52,80,177,41,147,133,95,65,69,68,68,67,68,68,53,51,52,53,52,51,54,54,65,80,94,101,126,143,43,101,177,39,128,167,101,99,106,41,45,51,48,50,115,113,110,107,103,103,106,106,108,108,111,112,124,100,76,134,122,80,139,143,148,155,154,78,37,40,40,43,80,77,76,74,75,76,80,83,79,78,75,71,75,74,80,84,82,82,85,84,86,81,84,82,53,53,64,70,79,78,78,76,76,76,77,74,74,78,76,72,74,77,77,78,76,78,81,79,77,75,76,78,78,86,92,83,81,80,79,79,77,79,81,78,79,81,84,82,81,84,81,80,82,83,85,83,84,82,83,86,83,87,126,96
1,107,111,114,117,121,125,128,129,130,131,132,134,134,134,133,132,130,129,134,129,127,126,126,122,121,121,119,116,110,115,118,120,124,128,130,132,134,135,135,135,135,135,133,134,141,136,114,132,129,128,129,125,123,121,120,118,113,118,122,124,127,131,134,136,137,136,137,138,138,135,146,125,148,154,54,117,129,131,128,127,126,123,121,121,115,120,125,129,130,135,138,139,140,140,140,140,141,138,179,108,70,145,45,71,92,102,134,128,129,127,125,123,119,125,129,131,133,136,140,141,144,144,145,144,140,155,188,92,38,131,40,70,94,54,140,131,131,130,129,126,121,127,130,134,137,140,143,145,147,147,144,162,153,88,145,74,57,154,51,70,98,43,134,136,134,132,130,129,124,129,133,137,140,142,146,149,149,151,147,187,133,30,102,74,66,154,60,51,98,45,133,141,136,135,132,129,126,132,137,139,143,146,149,150,153,152,154,189,104,30,104,63,50,120,43,76,119,53,125,146,139,139,136,133,129,135,139,142,146,149,151,154,156,153,168,190,100,30,87,43,69,112,33,82,115,47,119,151,142,142,138,136,132,137,140,144,148,149,153,156,159,153,181,176,87,44,96,40,98,127,40,72,104,43,126,151,145,145,141,139,134,139,142,146,150,153,155,159,160,154,185,162,74,60,123,49,75,111,36,101,114,47,130,153,148,146,142,139,136,141,144,147,153,155,157,159,163,158,196,169,104,45,87,19,34,61,21,129,111,49,134,155,150,149,146,143,137,143,147,150,153,156,158,162,166,162,198,147,83,27,33,32,38,37,42,107,76,42,149,155,152,151,149,147,140,147,149,153,156,158,162,166,168,169,188,145,116,107,62,90,47,96,113,58,40,59,165,153,154,152,149,146,142,149,153,156,158,162,166,168,168,179,212,192,129,153,149,134,126,148,99,31,27,99,169,154,154,153,151,148,142,148,156,158,161,165,168,171,166,201,226,145,88,99,142,154,147,125,103,69,3,111,171,156,157,155,152,149,144,150,157,160,166,168,170,173,168,216,194,103,86,41,42,97,82,125,149,93,11,116,173,159,159,156,155,151,148,153,158,163,169,170,172,175,174,224,202,146,84,69,55,36,107,110,179,124,32,94,176,160,161,159,156,153,151,155,161,165,169,173,176,177,183,227,199,157,79,84,46,120,202,129,172,140,62,33,164,167,163,162,158,155,152,158,164,168,172,176,179,180,186,222,202,153,72,91,63,190,205,179,131,100,81,31,154,172,164,163,160,157,153,159,165,170,174,177,181,181,191,221,211,142,81,86,109,221,207,164,130,80,48,45,173,171,168,165,163,158,155,162,167,171,174,180,183,181,194,225,197,129,109,66,154,222,194,160,119,97,21,70,186,170,170,167,165,162,157,164,170,173,177,181,185,183,193,221,184,153,122,79,190,214,182,149,114,78,14,132,185,173,173,170,166,165,158,164,171,175,179,182,184,195,204,208,184,178,127,107,199,201,170,138,98,39,49,185,177,176,174,171,168,165,159,166,172,177,180,182,195,143,131,216,185,187,126,94,172,169,139,109,73,11,136,192,179,177,176,173,171,167,162,168,174,181,182,185,194,46,7,134,181,176,81,69,112,117,99,73,13,63,198,181,182,181,178,175,173,170,162,170,173,180,180,197,140,19,24,9,52,70,43,66,78,77,48,17,23,175,190,183,184,183,180,176,174,171,160,166,174,179,180,195,79,23,19,16,9,15,21,33,30,31,0,0,108,204,182,185,184,183,180,176,174,170
5,123,128,133,136,138,141,143,145,147,150,151,152,152,156,157,159,160,161,164,164,164,166,168,166,167,168,169,168,124,130,133,136,140,143,144,146,149,151,152,153,157,158,159,159,160,164,165,165,167,168,167,167,167,169,170,168,126,130,135,137,141,144,146,147,149,151,154,154,132,157,160,161,163,165,166,166,159,167,167,169,169,169,169,169,126,131,136,138,142,145,144,150,152,152,154,169,105,143,164,161,165,166,165,175,126,146,172,168,169,170,170,170,128,133,136,139,143,147,161,124,147,156,155,174,107,138,168,162,165,165,168,177,108,139,176,169,171,172,172,171,129,133,137,141,146,142,179,133,119,160,157,182,117,140,168,163,166,166,176,143,98,167,173,173,174,174,174,172,130,134,138,143,147,143,165,160,107,158,162,181,123,138,169,164,166,176,173,103,126,180,171,175,175,174,173,173,131,136,140,144,149,147,158,189,126,145,169,166,107,136,172,165,169,175,141,104,171,175,174,176,176,175,175,175,131,137,141,144,149,150,152,203,149,126,172,154,113,135,174,162,162,140,96,143,180,173,175,176,177,177,176,176,133,139,142,146,150,151,149,192,178,118,165,150,128,130,171,155,152,94,117,180,176,176,177,178,179,179,178,178,133,139,144,147,151,152,151,169,200,162,140,137,130,119,148,151,139,97,168,177,176,177,177,179,179,178,179,179,135,139,144,147,151,152,154,156,195,196,153,113,121,101,114,141,113,125,182,176,179,180,179,179,180,180,180,178,134,140,144,148,151,151,155,156,174,207,180,133,102,98,101,107,98,160,180,179,179,177,179,181,182,182,181,181,134,140,144,149,151,152,155,158,160,202,189,145,104,90,94,91,101,179,173,170,167,165,170,173,170,170,175,173,135,141,146,150,152,153,157,160,156,196,193,144,102,86,86,88,101,139,159,160,152,166,181,175,169,169,159,127,137,142,146,149,153,155,158,160,160,206,190,148,109,83,82,86,105,116,139,141,113,116,136,130,133,153,142,104,137,143,146,150,154,155,159,158,168,217,180,143,108,85,82,88,101,106,98,103,115,151,156,156,156,163,130,120,136,141,147,152,153,154,159,154,187,216,170,138,105,85,83,87,89,93,126,156,180,190,186,169,167,131,122,178,136,142,148,151,154,156,160,157,205,204,164,134,100,84,85,90,76,133,188,191,184,173,154,157,149,105,181,187,137,142,147,151,154,157,158,169,217,198,159,120,99,82,83,94,106,128,135,159,158,153,164,160,113,130,193,181,138,143,148,152,153,157,155,188,216,187,148,120,103,81,85,101,121,134,130,125,149,160,155,126,124,176,187,184,138,143,149,152,153,156,157,207,209,177,141,128,107,79,96,127,141,147,137,132,150,131,121,155,188,189,186,186,138,143,149,152,155,153,172,216,203,172,142,131,108,79,105,142,143,146,141,118,107,129,177,192,186,186,186,185,139,144,149,152,155,151,198,213,194,169,143,127,108,82,114,147,136,144,127,96,141,188,188,185,186,186,186,185,139,144,149,154,150,171,214,199,189,165,128,115,98,84,123,141,130,129,113,163,191,185,186,187,187,187,187,185,139,144,149,153,151,198,204,187,178,152,114,108,90,93,120,124,124,114,169,190,184,186,187,186,187,188,187,186,140,145,150,149,175,201,189,180,177,151,103,99,92,100,103,109,128,168,189,183,186,187,187,187,187,187,187,187,140,145,149,152,203,192,184,173,183,145,91,101,104,92,93,138,182,186,185,186,186,186,187,188,188,187,187,187
17,150,154,156,161,166,169,171,175,178,179,181,183,184,185,185,184,184,185,182,178,184,182,182,182,182,180,178,178,152,155,157,162,167,171,174,177,179,181,183,184,185,186,186,187,184,190,192,137,171,187,183,183,183,181,179,179,153,156,158,162,168,172,176,178,180,183,184,186,187,188,189,187,196,189,144,112,158,192,184,184,183,182,182,181,154,157,160,164,169,175,177,179,182,184,186,189,189,190,191,186,204,199,153,92,155,194,185,186,184,184,183,182,155,158,161,165,171,176,178,181,183,185,188,189,191,191,192,189,199,204,177,105,162,194,187,187,186,185,184,183,157,160,162,167,172,176,180,183,185,187,189,190,191,192,192,191,196,215,194,130,172,195,189,189,188,187,186,184,158,160,164,169,173,178,181,183,186,189,190,192,193,194,194,193,199,223,200,146,169,197,190,190,189,189,187,186,159,162,165,170,175,179,182,184,188,189,191,194,194,195,195,193,201,225,202,150,151,200,192,192,190,190,189,188,160,163,166,171,176,180,183,186,189,191,193,194,196,199,197,194,212,229,213,164,131,199,194,194,193,191,190,189,161,164,166,173,177,181,184,188,190,192,195,195,179,182,201,199,222,225,210,170,126,195,196,195,194,193,191,190,163,165,168,173,178,182,186,189,191,194,199,198,168,120,191,213,191,197,203,165,122,190,198,196,195,195,194,192,164,166,170,174,180,183,188,190,191,188,200,191,169,102,133,170,153,191,200,167,116,189,200,197,196,195,194,194,164,166,170,175,180,185,187,192,199,200,202,171,164,152,119,109,157,202,185,170,121,187,203,198,197,196,195,195,166,168,172,178,182,187,187,202,215,205,220,202,197,181,131,99,155,189,177,166,125,178,205,199,197,198,197,196,166,169,172,179,183,188,189,203,214,164,193,213,199,177,160,120,113,149,159,153,119,163,209,199,200,199,198,197,167,169,173,179,184,189,192,196,207,176,121,139,169,184,183,154,109,100,124,132,114,154,211,200,201,201,199,198,168,170,175,180,185,190,194,195,209,192,143,88,118,161,197,175,145,112,100,118,107,161,212,201,202,202,200,199,169,170,175,182,186,191,194,198,219,202,214,124,115,173,208,182,161,138,101,99,93,168,212,202,204,203,201,200,170,171,176,182,187,192,196,195,228,218,177,138,142,233,211,186,166,145,97,84,84,180,212,204,204,203,203,201,171,172,177,183,189,193,198,196,230,213,166,172,204,226,208,172,166,135,95,83,94,205,208,206,205,205,204,202,171,173,177,184,189,194,198,197,229,208,193,189,235,202,199,178,148,131,97,76,146,219,205,207,206,206,205,203,171,173,179,185,190,194,199,200,225,220,194,197,233,204,198,196,154,116,94,83,195,214,208,208,207,206,206,204,172,174,179,186,190,195,200,200,221,228,195,203,224,200,184,180,144,105,87,99,212,210,210,209,208,207,206,206,172,174,179,186,192,196,200,200,215,227,199,190,206,176,163,150,114,98,80,131,222,209,211,210,208,207,207,207,172,175,181,186,192,196,201,203,211,221,187,166,179,166,151,129,105,102,82,186,221,211,212,211,210,208,208,207,171,173,180,185,190,195,201,201,211,215,163,155,171,179,160,131,113,90,118,221,212,213,212,212,211,209,208,207,171,173,179,186,189,202,146,68,180,212,192,192,178,182,170,131,111,85,174,221,212,213,212,211,209,208,207,207,171,173,179,185,194,181,106,63,137,212,196,184,178,177,167,134,101,97,202,215,213,213,212,212,210,209,207,207
13,163,165,168,171,174,177,179,182,184,185,186,188,189,189,190,190,189,191,191,192,192,192,191,192,193,193,193,193,164,166,170,172,175,178,180,183,185,186,188,190,190,190,191,191,190,185,179,184,192,193,193,193,194,194,195,195,166,168,171,174,176,179,182,184,186,187,189,191,191,191,193,194,193,172,141,147,187,195,195,195,194,195,196,196,168,170,173,176,178,181,183,185,187,188,190,192,191,189,187,194,199,170,124,114,172,183,186,193,196,196,197,197,169,171,174,177,180,183,186,187,189,190,192,194,195,175,155,167,192,166,119,96,134,140,139,166,196,199,199,199,170,172,175,178,182,184,187,189,191,192,193,199,207,175,139,138,179,159,115,86,125,133,104,119,185,200,200,199,171,173,176,180,183,186,188,190,192,193,191,187,191,180,148,135,172,153,108,102,155,145,100,97,172,201,201,201,172,175,178,181,184,187,190,192,193,195,187,154,136,151,150,131,172,162,110,128,172,144,99,95,172,202,203,203,174,176,180,182,186,188,191,193,196,200,187,150,117,117,139,125,169,165,115,141,175,141,96,100,179,204,205,205,175,178,181,184,188,190,192,195,199,193,187,161,123,103,128,118,120,118,95,143,184,145,92,107,188,206,207,207,176,179,183,186,188,191,193,197,196,175,178,162,123,93,114,116,70,49,78,145,171,127,82,122,196,207,208,208,176,179,183,186,189,191,195,201,196,169,161,156,121,86,100,113,71,39,89,151,151,114,90,143,203,208,208,208,177,179,183,186,189,192,197,205,195,166,149,155,118,85,90,109,84,77,129,162,158,139,115,130,194,210,209,209,178,180,183,187,190,193,198,207,196,166,142,148,117,86,89,121,109,129,177,172,153,134,112,106,173,210,210,210,179,181,184,187,191,193,198,208,195,167,140,138,120,95,93,141,143,168,190,176,149,120,99,101,174,211,211,211,179,181,185,188,192,195,200,209,197,175,152,133,119,101,93,151,177,196,191,169,141,111,93,109,187,212,213,212,180,183,186,189,192,195,201,210,199,180,162,140,117,104,118,179,201,205,186,159,131,104,90,124,199,214,215,214,180,183,186,188,192,195,200,207,199,183,169,155,132,122,140,189,206,199,174,145,119,97,95,153,208,215,215,215,179,182,185,189,192,194,198,203,198,187,174,164,142,127,137,184,203,188,158,130,108,92,115,187,212,214,214,214,180,182,186,189,193,195,197,199,197,189,176,167,149,131,138,179,195,175,146,119,99,91,143,204,213,213,214,214,181,183,186,190,193,195,197,199,199,191,177,166,150,133,139,169,178,157,133,110,93,100,170,210,213,214,214,214,182,184,187,191,193,194,197,199,199,189,173,162,144,128,139,159,155,140,119,101,92,126,195,212,214,214,215,215,182,184,187,190,193,195,197,199,198,182,166,151,132,124,140,149,138,126,109,94,102,165,209,214,215,215,215,216,182,184,187,190,194,196,195,199,198,177,162,144,129,131,144,144,130,117,102,95,137,198,213,214,215,215,216,216,178,181,185,188,192,194,194,204,200,179,166,145,135,142,148,136,122,104,93,111,178,211,214,214,215,216,216,216,144,148,153,158,161,164,179,203,200,184,173,149,141,148,143,124,109,92,87,135,192,204,205,206,208,210,210,211,104,107,109,110,111,114,153,195,191,180,172,150,143,147,136,113,96,84,85,118,143,148,152,154,160,166,170,176,103,104,104,103,102,104,151,192,182,170,162,145,139,144,132,104,90,80,84,100,108,110,112,120,134,145,150,159
24,133,139,144,149,151,154,157,159,159,160,162,163,163,163,164,163,162,161,161,161,160,159,158,159,158,157,154,153,135,140,146,150,152,154,157,159,160,162,164,164,164,165,165,164,163,163,164,163,161,161,159,160,159,158,156,154,137,142,147,150,155,156,159,160,161,163,165,165,166,165,166,166,164,164,165,164,163,162,161,160,159,157,156,156,138,142,156,171,139,158,161,162,163,165,166,166,166,166,167,167,166,165,165,164,164,164,163,162,160,158,158,157,139,141,175,190,115,161,162,163,164,166,168,169,168,168,169,169,167,166,165,165,165,165,164,163,161,159,159,158,140,143,179,185,108,160,164,165,167,168,170,171,171,172,170,170,169,168,168,166,166,166,165,164,163,162,159,159,143,144,179,189,106,153,166,166,169,170,170,172,173,173,172,171,171,170,169,168,168,167,166,164,163,163,161,160,144,146,174,196,116,149,167,167,170,172,172,173,173,173,173,173,173,172,171,170,169,168,167,166,165,165,163,162,145,149,169,200,122,139,170,170,172,172,174,174,174,175,176,175,174,173,172,171,170,170,169,168,167,166,165,163,145,149,166,208,141,121,171,172,172,180,176,170,187,183,164,176,175,174,174,172,172,170,169,168,168,167,166,165,147,152,164,218,167,123,202,184,157,212,178,130,201,194,133,148,181,177,176,175,174,174,173,172,169,167,167,165,148,154,162,208,177,154,233,186,163,216,181,131,196,183,141,110,173,180,178,177,174,167,160,154,169,168,167,166,150,156,159,205,196,188,238,187,164,222,176,141,209,173,128,91,150,184,178,177,154,129,111,94,150,173,170,168,152,158,160,210,216,205,239,193,149,222,167,147,206,167,106,76,138,182,179,170,131,101,105,128,163,173,171,170,152,158,166,208,210,198,229,195,140,209,168,151,197,155,80,57,134,183,176,147,110,128,171,179,175,173,172,171,153,157,176,205,179,184,210,190,134,199,172,151,192,134,68,95,150,177,138,113,121,179,181,179,177,174,173,172,154,158,185,225,166,159,190,180,128,202,166,149,187,126,151,175,165,141,103,109,172,184,181,180,180,179,175,174,155,157,192,240,182,146,179,177,140,208,144,139,193,187,193,173,144,124,99,166,188,184,183,182,181,180,177,175,154,156,195,245,194,138,174,185,169,204,132,169,217,194,177,163,126,107,147,190,185,183,182,182,181,179,177,174,155,157,195,241,197,151,165,178,166,187,195,221,209,186,170,146,111,121,188,188,186,185,184,182,180,179,178,175,155,158,194,240,206,176,160,187,224,236,238,212,194,180,161,122,103,167,191,189,187,187,186,184,182,180,179,177,156,159,183,242,216,185,173,197,236,240,231,204,181,160,140,107,148,193,190,189,188,189,186,186,184,181,181,179,156,162,172,236,218,189,182,205,240,236,216,197,167,139,116,132,192,192,191,190,189,189,185,185,185,182,182,180,156,163,172,224,206,189,184,205,228,217,195,174,151,123,117,184,196,195,194,193,191,190,188,187,185,186,183,178,129,130,136,212,199,195,192,201,216,205,176,149,131,110,117,136,132,131,131,130,129,129,130,129,127,121,125,152,105,102,99,201,207,203,200,205,210,194,157,132,119,103,98,96,94,94,92,91,90,91,90,84,83,118,168,180,110,109,101,200,223,208,208,205,200,181,145,123,110,103,103,103,102,101,100,99,97,98,98,115,170,198,182,160,111,110,100,193,235,214,217,199,187,175,147,115,102,103,102,103,103,102,101,101,100,96,132,200,200,177,171,144
8,113,120,125,130,136,141,144,147,151,154,157,159,160,161,162,163,163,164,164,164,165,164,164,164,164,163,163,162,116,123,128,134,140,145,148,151,155,158,161,162,164,164,165,165,166,166,167,167,166,166,165,165,165,164,164,163,121,127,132,139,145,150,154,169,148,160,166,168,169,170,170,170,169,170,172,171,170,170,169,168,167,167,166,165,124,132,135,142,150,154,162,186,129,149,173,174,175,175,175,176,175,175,176,175,175,174,173,172,171,171,170,168,127,134,139,146,153,158,170,197,125,139,179,179,181,182,182,182,182,181,181,180,180,180,178,177,176,176,175,173,132,138,142,150,157,162,175,204,125,137,184,184,185,187,187,187,187,184,185,188,176,176,184,183,182,181,181,178,136,141,146,154,161,166,176,204,131,136,188,189,190,189,185,192,200,157,156,203,171,137,174,189,188,187,186,183,139,144,150,158,165,171,181,210,143,132,190,193,202,203,162,181,206,161,131,178,176,135,137,190,193,192,190,188,142,147,154,163,170,175,185,215,161,139,187,198,224,231,209,194,178,169,175,193,151,109,109,177,197,196,194,193,144,149,158,167,174,178,186,217,184,164,186,212,224,224,226,189,172,176,181,180,152,106,81,157,202,199,198,197,148,153,161,170,178,183,188,214,194,185,203,216,198,180,224,194,166,168,155,149,162,125,84,165,205,202,201,200,151,156,164,173,180,187,190,212,210,192,207,213,193,152,181,201,140,112,107,152,179,144,105,180,208,206,204,202,154,159,168,177,184,190,193,214,224,177,193,190,178,160,155,194,142,85,76,181,201,164,114,152,211,209,208,206,156,161,170,180,186,192,196,214,231,173,154,176,151,147,146,179,162,117,86,171,218,184,127,110,200,213,211,209,158,163,173,182,188,194,199,212,233,195,135,146,148,137,155,178,175,136,166,214,212,183,133,95,176,217,214,213,159,166,176,185,192,197,202,213,240,216,157,127,157,144,177,210,188,173,219,224,193,155,125,100,178,221,217,215,161,168,179,186,193,199,205,212,242,227,181,135,137,151,184,224,219,230,233,207,178,140,110,109,204,223,220,219,164,170,181,189,195,200,206,214,242,236,203,159,133,152,177,227,233,240,229,197,160,127,97,140,226,226,219,202,165,171,182,190,197,203,208,214,240,242,216,178,151,155,170,219,237,235,214,182,147,117,93,174,195,157,122,89,165,171,183,192,199,204,209,213,236,241,225,191,173,163,165,201,232,230,202,166,135,108,85,100,77,60,58,59,166,173,184,193,200,206,211,215,229,237,230,203,188,178,155,186,214,220,193,154,127,100,69,49,49,50,47,57,167,175,186,195,202,207,212,216,222,234,232,213,196,186,153,177,194,208,181,144,118,92,58,42,42,53,43,46,167,175,186,195,201,207,213,217,217,226,229,217,200,183,151,153,184,186,166,131,107,76,54,42,32,48,51,41,166,174,186,195,201,206,212,217,218,216,228,219,202,178,150,134,168,168,151,123,98,52,39,51,34,36,51,46,167,176,187,195,201,206,211,217,221,214,233,227,204,178,151,130,147,158,138,114,84,32,23,46,46,31,41,49,168,177,188,196,202,207,212,217,221,216,231,223,196,173,152,131,135,143,129,102,70,39,14,31,50,40,31,45,167,177,188,196,202,207,212,217,221,208,232,208,181,176,160,136,128,133,127,90,52,50,16,18,43,50,34,36,165,173,182,190,198,204,211,216,214,182,238,210,190,191,169,138,123,126,122,76,35,51,26,11,33,50,42,35
8,136,143,148,152,155,159,161,162,164,166,169,170,171,173,176,176,178,180,181,181,181,182,184,185,185,186,186,185,138,144,148,152,156,159,163,163,164,171,160,163,174,175,176,178,180,180,181,182,182,184,185,186,186,186,186,186,139,145,149,153,158,161,165,163,171,191,144,134,179,175,176,178,181,181,182,183,185,187,185,186,186,187,187,187,139,146,151,156,158,162,165,161,181,184,128,130,181,176,177,180,182,181,182,185,187,185,189,188,187,187,188,188,141,145,152,158,159,162,165,162,195,165,114,146,182,176,178,180,183,184,184,186,187,187,171,184,189,187,189,189,144,147,153,158,160,164,164,169,198,149,113,160,181,179,181,181,183,185,188,185,195,187,120,160,196,188,190,190,145,148,154,157,159,165,164,180,197,150,117,173,180,180,181,183,188,186,187,186,205,180,107,156,198,190,192,191,145,149,154,158,163,167,162,189,191,145,121,178,176,181,183,175,168,184,188,175,203,182,123,150,200,191,192,192,145,151,156,160,163,167,161,198,185,134,132,178,152,160,189,172,143,143,184,161,201,188,157,130,189,195,194,194,146,152,159,160,162,168,164,207,188,147,186,184,155,144,187,174,139,134,176,153,178,199,166,123,152,201,193,196,148,153,158,160,165,168,169,214,185,170,218,187,151,147,184,163,125,136,169,134,181,207,167,124,136,205,194,197,147,153,158,162,166,166,176,207,175,154,215,197,141,153,183,150,113,135,158,128,203,203,169,121,148,206,195,198,149,154,159,161,164,165,179,201,187,163,198,191,126,164,179,139,114,117,150,129,205,193,160,114,153,207,197,199,149,155,161,162,168,164,186,204,197,191,198,187,145,162,189,154,111,118,148,156,198,175,148,111,163,207,198,200,150,154,160,162,166,166,204,197,192,178,189,198,163,173,204,164,109,136,168,187,192,164,138,110,175,205,198,200,149,155,160,165,164,174,204,171,168,160,168,178,144,172,169,135,160,190,191,171,175,163,137,108,178,206,199,201,150,155,160,164,163,190,202,173,162,152,137,135,130,134,162,191,205,190,185,160,149,151,135,105,183,206,200,202,151,157,161,165,162,210,201,182,168,148,137,133,138,182,223,223,197,185,173,148,134,134,122,113,202,204,202,204,150,158,162,164,173,221,201,186,167,149,138,122,168,224,222,216,197,174,159,138,125,128,107,146,211,201,203,204,152,158,163,160,190,225,198,185,169,158,144,150,212,219,217,207,185,164,148,130,118,121,104,187,208,203,204,205,152,158,166,157,203,226,197,184,176,169,162,195,214,213,208,197,174,154,140,123,116,113,109,199,208,203,205,207,153,158,166,158,215,224,199,191,186,179,194,212,218,203,190,183,164,146,133,118,116,107,125,208,205,205,206,206,154,159,166,159,221,225,201,192,182,185,209,218,214,191,180,172,155,139,125,116,114,100,167,211,205,208,207,206,155,160,167,160,214,228,207,194,184,186,207,212,196,181,171,163,147,131,120,115,103,138,207,204,206,206,207,208,153,159,166,161,208,228,209,199,186,183,197,199,190,180,164,158,142,125,117,107,126,202,205,206,206,207,207,208,154,160,166,163,198,219,195,192,182,183,188,195,194,182,166,157,141,122,107,108,189,208,205,206,206,208,208,208,154,160,167,163,189,205,195,190,191,192,180,186,188,174,160,150,133,111,95,167,208,203,205,206,207,207,208,209,155,161,167,165,187,209,204,198,201,194,178,178,184,172,153,142,125,95,128,204,203,205,206,207,208,208,208,209
5,124,129,132,136,138,141,143,145,147,150,151,152,153,156,157,159,160,161,164,164,165,166,167,167,167,168,169,168,125,130,133,136,139,143,144,146,149,151,152,153,154,157,158,160,161,164,165,165,166,167,167,167,167,169,169,168,126,130,134,138,141,144,145,147,149,152,153,155,133,156,160,161,162,165,166,166,158,166,167,169,169,169,169,169,127,132,135,138,142,145,147,148,151,153,154,164,112,147,160,162,165,166,166,170,130,150,168,169,169,170,170,170,128,133,136,139,143,146,158,127,146,154,155,169,113,143,162,163,165,166,168,169,115,146,170,170,171,172,172,171,129,133,137,141,145,146,170,137,125,155,158,175,123,144,163,164,166,168,172,143,106,164,171,173,174,174,173,172,130,134,138,143,146,147,161,159,114,156,162,174,128,141,164,165,167,174,165,114,131,172,173,175,175,174,174,173,132,136,140,144,148,150,157,182,131,149,165,160,117,140,165,167,168,169,141,111,167,174,174,176,176,175,175,175,132,137,141,144,149,151,153,194,154,133,165,150,121,138,167,163,160,138,107,143,175,175,175,176,177,177,176,176,134,138,142,146,150,151,152,188,175,127,163,144,133,130,165,157,148,103,122,172,176,176,177,178,179,179,178,178,134,139,143,147,151,152,153,170,193,164,144,133,133,118,145,150,137,104,165,175,176,177,177,179,179,179,179,179,135,139,144,147,150,152,154,159,192,190,155,118,120,103,116,135,119,127,176,178,179,179,179,179,180,180,180,178,135,140,144,148,151,152,154,158,175,202,176,135,105,99,102,107,104,159,176,178,178,178,179,181,181,181,180,180,135,140,144,148,151,152,155,158,163,200,184,145,106,92,93,94,103,172,173,170,165,165,170,172,171,170,174,171,136,141,146,150,152,153,157,159,160,195,188,146,105,88,86,90,102,138,157,159,152,163,175,172,169,168,159,131,137,142,146,149,153,155,157,160,162,204,186,148,110,84,83,88,104,118,136,136,120,124,139,136,137,150,140,108,137,142,146,150,154,154,158,160,169,211,180,143,109,87,82,89,99,106,106,109,118,152,158,158,159,157,135,123,136,142,147,151,153,155,158,159,186,209,171,138,106,86,83,87,90,97,128,157,176,182,180,165,161,134,128,172,137,142,147,151,154,156,159,161,203,201,165,133,102,85,85,88,83,134,175,182,182,173,158,157,145,113,176,183,137,142,147,151,154,156,160,170,212,196,159,122,100,83,84,94,106,128,137,159,159,156,162,153,126,133,185,183,138,143,148,152,154,156,159,188,210,187,150,121,103,83,87,103,121,133,133,130,150,156,152,132,129,173,185,184,138,143,149,152,154,156,160,205,205,177,144,127,106,83,97,124,139,145,137,130,145,134,129,157,182,187,187,185,139,144,149,152,154,156,173,211,202,173,143,129,107,84,106,138,143,145,138,119,116,133,174,186,186,187,186,185,140,144,149,152,154,156,197,208,194,169,143,125,107,87,115,143,136,141,127,106,143,180,185,186,186,186,186,185,140,144,149,153,154,172,209,200,187,164,130,114,99,88,121,136,130,132,120,161,183,185,187,186,187,187,187,185,140,145,149,153,156,195,201,189,176,153,117,107,93,94,119,120,127,123,166,184,186,186,187,186,187,187,187,186,140,145,149,152,175,197,190,182,174,149,107,100,94,99,104,113,131,167,184,185,186,187,187,187,187,187,187,187,140,145,149,153,200,192,184,176,178,143,97,101,102,93,97,137,176,183,186,186,186,186,187,188,188,187,187,187
17,139,141,144,145,146,148,148,149,150,150,151,151,150,150,149,149,149,147,146,146,145,145,143,141,140,138,137,134,140,143,145,148,149,149,150,151,152,153,153,153,153,152,152,151,152,150,149,150,147,146,145,143,142,140,138,136,143,147,148,150,152,152,153,153,154,155,156,156,156,155,154,153,153,152,153,152,150,149,147,146,144,142,140,139,144,148,150,151,154,155,154,155,156,157,157,158,158,159,158,153,158,157,151,155,152,152,150,148,146,145,143,141,147,150,152,153,154,156,157,157,158,159,160,160,159,160,156,166,168,130,121,160,154,153,152,151,148,146,145,144,148,152,154,155,157,159,160,160,159,160,161,161,161,162,157,173,194,106,94,163,156,156,154,153,151,150,147,146,151,153,155,158,159,160,161,162,163,163,163,163,163,164,162,163,206,138,101,164,157,158,157,155,154,152,150,149,154,155,159,160,160,161,163,165,165,165,165,167,166,166,165,166,217,173,114,162,160,159,158,157,156,154,154,152,155,158,160,162,163,164,165,166,167,167,167,168,169,167,166,174,224,195,119,151,166,161,161,159,158,157,155,154,157,160,161,165,166,167,167,168,169,170,171,170,169,169,164,187,219,196,121,139,171,164,163,161,161,159,158,156,159,161,164,166,168,168,168,170,171,170,169,170,193,194,158,158,205,206,128,129,173,165,165,163,161,160,160,157,160,163,165,168,170,169,172,172,171,174,178,171,213,204,182,136,160,188,141,122,174,166,166,166,164,162,162,160,162,165,167,169,171,172,173,173,171,207,224,175,156,194,191,201,196,139,112,116,173,168,168,167,166,164,162,161,164,166,168,170,172,173,174,174,178,209,198,189,140,155,138,195,207,158,92,98,173,172,170,168,167,166,165,163,165,167,171,172,173,174,176,176,183,208,133,153,174,102,79,105,207,190,114,79,166,175,171,171,168,168,167,165,166,169,171,173,174,176,178,176,187,202,149,138,129,104,103,80,191,218,149,73,144,180,171,172,170,169,168,166,168,171,172,175,176,179,180,177,191,216,188,151,127,127,135,117,179,224,172,89,136,182,173,174,172,169,168,168,171,172,173,176,179,180,181,177,196,215,159,134,138,154,158,168,210,218,180,105,133,186,175,175,175,179,178,168,170,172,175,177,178,179,180,178,194,214,176,154,151,171,166,209,224,203,168,111,131,188,176,180,167,133,125,100,171,172,174,177,178,178,180,179,191,224,194,165,151,174,186,221,224,198,154,105,136,186,178,171,98,81,79,74,171,173,175,177,179,180,182,182,189,224,204,184,158,179,210,224,213,188,147,98,132,185,183,130,77,84,80,79,171,175,177,178,181,182,184,184,188,224,215,197,176,176,213,224,203,181,142,88,136,199,138,78,67,56,49,37,171,175,178,180,182,184,184,185,186,221,222,205,194,182,203,219,192,174,141,82,128,131,77,67,59,41,39,25,174,176,179,181,182,185,185,185,184,213,224,211,202,186,181,206,182,172,129,85,80,77,76,68,52,31,28,30,168,172,176,179,181,183,184,187,185,201,224,214,198,175,166,180,170,172,125,80,63,73,70,73,64,34,19,22,103,105,109,111,109,109,113,116,114,137,224,210,183,159,155,161,171,164,113,72,42,58,59,56,75,54,20,14,84,88,89,85,86,85,85,84,83,104,221,187,161,147,150,158,169,145,86,64,48,28,51,41,63,71,32,11,95,97,97,93,97,99,98,97,103,59,182,184,156,147,157,155,148,117,61,6,32,23,31,35,45,69,48,16
23,165,168,168,172,176,180,183,186,188,189,191,192,193,196,197,198,198,198,198,198,197,197,197,196,195,195,195,195,166,169,169,173,178,181,184,185,187,190,192,193,195,196,197,199,199,198,198,198,198,198,198,197,197,197,196,196,166,169,170,174,178,181,184,186,189,191,193,194,197,197,198,199,200,199,198,199,200,199,198,198,198,198,198,197,166,170,171,174,179,182,185,188,189,192,194,196,198,199,199,199,199,199,199,201,202,202,203,200,198,198,198,198,168,170,172,176,180,184,187,189,191,194,195,197,198,199,201,201,201,202,201,202,199,186,182,194,201,200,199,198,169,170,172,177,181,186,189,191,193,195,196,197,199,199,201,203,203,202,201,199,193,183,176,169,188,190,202,199,169,171,172,177,181,186,189,191,192,195,197,199,200,201,203,202,204,207,196,201,197,166,185,180,153,133,204,200,169,172,175,179,182,186,189,192,194,197,198,200,202,203,205,204,210,205,171,178,152,111,152,141,129,171,205,200,171,174,175,179,183,187,190,193,196,198,200,202,202,204,204,209,209,201,151,104,144,179,206,194,200,208,203,203,172,175,176,180,184,187,190,193,196,198,200,201,202,205,205,214,205,203,150,130,219,207,208,208,206,204,204,204,172,174,177,181,185,189,192,194,197,198,201,202,203,203,203,208,197,199,182,182,197,175,158,203,207,205,205,204,173,175,178,182,186,190,194,196,198,200,203,203,207,194,191,189,198,203,204,211,199,178,108,175,216,204,205,205,174,175,178,182,187,190,194,196,197,201,203,209,210,191,174,174,180,178,173,185,180,168,109,162,218,205,206,206,175,175,177,183,188,191,195,197,198,202,203,212,205,181,158,150,183,191,183,172,156,159,116,153,220,207,207,206,175,176,178,183,189,192,195,197,201,202,206,217,205,180,161,157,167,182,187,193,178,146,104,144,220,207,208,208,175,176,180,185,190,193,195,199,202,201,214,217,207,193,192,191,175,156,147,157,167,143,89,151,224,207,209,209,176,177,181,186,190,193,197,200,203,204,219,216,207,193,193,183,195,178,157,147,124,114,90,147,209,211,209,209,176,177,181,186,190,193,197,200,201,216,220,221,202,181,178,151,191,193,166,142,116,96,117,152,166,221,209,210,176,177,181,186,191,195,199,197,212,227,220,213,177,141,144,130,134,172,177,134,103,100,122,142,109,170,220,209,177,178,182,186,191,196,195,207,229,227,214,194,174,142,106,113,129,201,191,125,102,99,121,119,93,92,205,214,178,179,181,187,191,194,202,228,229,220,204,185,173,148,101,130,179,196,166,111,98,94,119,112,102,85,180,220,178,180,182,187,192,192,226,232,222,209,192,189,171,137,98,95,123,138,125,93,91,110,117,112,92,115,205,214,178,180,182,188,189,207,236,227,219,203,191,183,159,134,111,88,91,99,105,102,97,120,117,103,135,205,218,213,178,177,185,190,195,235,226,221,211,194,184,172,149,127,104,100,119,124,121,117,106,100,119,172,221,217,213,214,176,178,170,163,226,232,217,211,198,185,174,160,138,118,100,113,129,131,125,110,99,142,210,222,215,215,214,214,175,185,120,86,219,229,209,199,183,171,161,149,129,114,105,121,124,119,98,107,184,223,219,214,216,215,215,214,180,163,97,87,113,183,200,184,176,165,156,141,125,107,104,115,112,93,117,199,225,215,216,217,216,215,215,215,181,119,84,91,86,94,134,153,153,150,141,134,110,88,88,96,98,137,212,224,215,218,218,218,217,216,215,215
14,203,205,208,210,209,210,212,212,213,213,214,213,214,213,213,211,211,210,209,209,208,207,207,205,204,203,202,202,205,207,209,211,211,213,215,216,215,216,216,215,217,216,216,216,214,213,212,212,211,211,209,207,206,206,206,204,208,209,211,213,214,216,217,217,217,218,218,218,220,220,217,218,216,216,215,214,213,211,210,210,209,209,208,207,209,210,212,216,216,218,220,220,220,221,220,221,219,218,220,221,221,217,216,217,216,214,213,212,211,210,210,209,210,212,215,216,218,220,223,223,223,223,223,223,234,211,202,212,210,223,220,218,218,217,216,214,213,212,212,210,211,214,217,218,220,222,223,224,224,224,227,242,234,215,199,196,181,192,221,221,220,219,218,218,216,215,214,213,214,216,219,221,223,223,224,226,227,228,245,241,235,219,223,208,177,147,159,231,221,222,221,219,218,217,216,215,217,219,220,223,225,225,224,228,227,239,247,244,221,133,200,200,191,154,96,173,233,222,223,220,219,219,218,217,218,220,222,224,225,228,226,230,234,252,214,166,154,113,108,123,206,197,103,114,223,225,223,222,222,220,219,219,219,222,224,227,229,231,230,248,255,246,196,140,99,95,86,67,179,226,158,107,206,232,225,224,223,221,221,221,223,225,225,228,232,229,240,255,246,204,173,148,111,74,95,72,116,177,156,106,175,238,226,226,224,224,223,222,223,225,227,230,231,229,255,255,229,174,119,115,104,87,76,109,215,194,196,146,148,239,226,228,227,225,224,223,223,225,228,232,227,255,255,244,228,173,121,89,91,75,129,228,238,229,205,125,146,240,230,231,227,227,226,225,225,228,233,225,249,255,251,243,207,157,133,94,77,108,239,244,232,212,192,115,134,245,231,233,232,230,229,228,227,231,230,238,255,255,252,236,201,170,127,77,64,145,225,244,236,198,183,123,96,210,240,233,234,232,231,229,230,234,228,255,255,255,246,225,198,154,112,77,92,98,103,221,212,177,174,139,107,165,249,234,235,233,232,231,232,230,244,255,255,255,239,222,175,132,96,101,125,126,122,130,158,189,177,136,108,206,245,237,236,234,234,233,231,230,255,255,255,248,229,204,156,131,100,130,142,145,151,134,148,181,164,107,182,249,238,239,237,237,236,235,232,249,255,255,254,235,222,193,157,131,120,142,146,150,143,149,143,171,120,154,249,238,240,239,238,238,236,235,208,255,255,255,239,230,211,189,164,127,128,147,147,144,131,152,136,110,142,248,244,243,243,241,239,239,238,236,113,192,255,248,217,203,187,173,134,119,126,135,142,134,129,131,93,127,241,249,243,244,244,243,240,240,239,237,116,103,144,199,212,176,142,109,97,112,112,120,131,122,107,130,186,247,252,245,246,245,244,244,243,241,240,239,107,110,102,112,125,119,105,93,93,97,97,96,96,102,163,247,255,250,249,248,246,246,245,244,244,243,240,239,104,102,106,106,63,61,72,69,67,69,61,104,161,210,255,253,251,251,250,250,249,247,246,245,244,244,242,240,102,101,97,106,93,46,63,61,56,57,49,80,243,255,251,253,254,253,251,251,251,248,248,246,245,245,243,242,99,96,95,100,99,47,53,58,56,55,51,61,234,255,254,255,255,254,253,252,251,250,249,248,246,245,245,244,89,92,88,96,99,43,50,54,53,56,39,133,255,253,255,255,255,254,253,253,252,251,251,250,248,246,245,245,101,132,80,102,81,39,51,50,49,53,37,188,255,253,255,255,255,255,254,254,253,252,251,251,249,247,246,245
3,132,135,141,143,144,146,147,149,151,150,151,151,145,173,150,130,152,148,146,145,143,141,139,137,135,133,130,126,136,139,144,147,149,151,152,153,155,156,156,156,146,189,188,91,151,154,150,148,147,146,142,141,139,136,132,130,139,143,146,150,153,154,156,156,159,159,160,159,154,175,218,89,127,163,153,152,151,150,147,145,141,139,135,133,143,145,150,153,154,158,158,159,161,161,161,163,162,163,231,137,108,167,158,156,155,153,151,147,145,143,139,136,144,149,152,155,158,161,162,163,163,164,164,165,169,156,229,176,90,163,161,159,157,156,154,152,149,146,143,142,148,152,156,160,161,162,165,167,167,168,166,166,163,191,232,183,106,154,170,163,161,158,155,155,152,150,147,144,151,155,159,162,162,165,168,170,171,167,184,216,192,209,238,241,175,127,167,167,164,161,161,159,156,153,151,148,152,157,161,165,165,168,169,171,176,164,216,249,248,221,160,191,195,93,166,167,149,168,163,161,159,157,155,153,155,159,164,169,170,172,172,174,172,190,233,231,188,207,160,94,191,141,176,133,131,177,166,165,162,160,159,156,159,163,167,172,173,175,175,179,175,235,247,235,165,135,176,122,147,194,172,105,90,181,169,169,167,164,161,160,162,165,171,174,177,178,180,179,187,233,183,144,200,177,136,166,97,96,158,130,73,141,182,171,169,167,164,163,164,168,173,177,179,180,181,179,196,235,149,45,81,124,75,90,71,28,129,168,111,103,183,174,171,170,168,165,167,172,176,179,179,182,185,181,205,229,127,88,71,64,66,63,58,32,107,184,118,117,183,177,174,173,170,169,169,174,178,180,182,186,188,181,216,227,173,138,89,73,73,81,56,43,157,193,116,135,186,177,176,176,174,171,171,176,179,182,185,187,190,185,224,238,185,120,81,77,88,85,91,126,196,200,119,152,188,179,180,179,175,173,174,177,180,184,188,190,193,189,224,236,164,100,77,83,100,103,165,207,216,193,109,165,190,183,182,180,178,175,175,179,185,186,188,191,193,190,223,234,166,108,88,92,106,137,214,231,210,168,101,172,193,187,184,181,180,178,176,180,186,187,190,194,198,193,222,241,180,121,98,100,111,174,234,228,194,130,111,187,190,187,185,184,181,180,178,183,187,190,193,195,198,193,217,244,188,134,106,110,132,208,231,217,184,111,120,199,190,190,196,193,189,178,179,184,189,190,192,195,196,194,214,246,204,148,113,117,145,224,228,200,169,104,136,203,192,196,146,107,101,80,179,184,187,191,194,196,197,198,210,243,210,162,127,129,152,219,220,185,152,98,158,201,206,152,69,71,62,58,180,185,190,195,196,198,199,202,204,232,214,177,145,147,148,198,196,158,128,98,181,204,194,100,64,61,55,50,181,186,191,195,197,199,200,203,205,227,221,189,157,156,128,156,161,121,97,115,210,192,107,56,40,20,2,0,183,187,190,194,197,200,201,212,171,191,238,198,161,140,105,112,118,100,75,150,141,79,59,46,24,5,5,0,188,192,195,201,203,203,211,177,11,134,249,196,143,106,77,81,86,85,31,1,31,61,59,58,34,0,0,0,161,168,173,177,182,184,193,74,0,99,231,167,107,68,52,68,68,49,0,0,0,42,40,48,59,17,0,0,77,79,83,84,83,80,95,66,0,28,150,157,97,45,62,74,46,1,0,0,25,18,19,24,55,43,0,0,76,73,81,80,76,79,85,94,58,36,71,135,90,54,78,61,26,0,0,0,29,0,0,10,36,52,18,0
20,142,146,151,156,161,164,166,170,171,173,175,176,177,178,181,180,183,177,182,179,180,178,178,178,177,177,176,174,144,149,154,159,163,165,168,172,174,176,177,178,180,181,182,181,219,146,160,180,181,182,180,180,180,179,178,177,147,151,156,162,166,169,171,175,177,178,180,181,184,186,185,184,235,135,158,165,148,192,183,184,184,182,180,179,149,154,157,163,169,170,173,177,178,180,182,185,186,186,186,188,231,141,184,183,117,194,187,188,187,186,185,183,150,155,160,165,171,172,176,180,181,182,185,188,188,189,187,192,241,162,181,205,114,188,191,190,189,188,186,185,153,158,162,167,172,174,178,182,184,185,188,189,191,194,188,199,246,161,186,226,125,182,195,194,193,192,190,188,155,160,164,169,173,177,181,184,187,188,190,190,191,191,189,211,233,155,203,221,124,178,200,196,195,194,192,190,158,163,167,171,177,180,183,186,188,189,194,195,195,211,194,211,237,152,211,215,117,178,202,197,197,196,194,192,159,165,170,175,179,181,185,187,190,193,195,187,220,255,226,147,177,152,211,211,120,185,203,200,199,198,196,195,161,168,173,177,181,184,187,189,193,195,201,228,220,200,211,153,97,107,184,187,123,192,206,203,200,200,198,196,164,169,174,178,183,187,190,192,196,191,228,255,237,164,184,191,178,137,122,149,117,197,207,204,202,201,201,200,166,171,175,180,185,189,193,194,197,196,235,187,178,218,136,194,227,178,98,104,109,203,206,206,204,203,203,202,168,173,177,182,186,191,194,195,199,196,236,172,94,112,74,112,216,196,125,87,98,202,209,208,207,205,205,205,169,175,179,184,188,193,196,199,201,202,233,181,161,117,91,80,174,239,168,93,90,204,212,210,209,207,207,206,171,176,180,186,191,194,197,200,203,206,249,226,166,123,113,116,143,255,206,119,79,200,215,212,212,210,209,209,173,177,182,187,191,195,199,203,203,208,252,207,143,120,125,143,175,255,229,150,83,190,219,213,213,211,211,210,175,179,183,190,194,196,201,204,203,209,251,213,160,143,147,158,222,255,225,168,93,188,220,213,215,213,213,212,177,181,185,191,196,199,203,205,208,211,255,229,180,154,166,188,255,255,211,165,97,186,225,218,217,215,214,214,178,182,187,192,197,201,203,208,210,213,255,241,198,160,182,216,255,252,206,157,101,187,229,219,218,216,216,216,177,182,187,192,195,199,203,208,210,210,253,249,203,179,183,238,255,234,200,150,94,183,230,218,218,218,218,218,178,183,188,193,195,200,204,208,210,208,249,252,210,206,190,243,255,219,190,143,86,179,231,219,219,216,216,216,179,185,189,193,197,203,206,209,211,209,237,255,223,224,206,224,241,205,180,140,77,180,232,220,221,219,216,216,179,185,189,193,199,203,206,209,213,213,225,255,234,228,213,196,218,180,171,126,74,190,231,222,222,221,220,219,179,186,191,196,200,203,206,211,213,215,219,254,245,222,189,170,188,164,170,121,81,215,227,223,224,220,225,224,181,187,192,197,201,203,206,210,218,229,219,252,236,199,155,143,173,164,161,95,116,235,224,226,225,232,211,133,176,183,190,197,202,207,211,221,199,90,62,240,219,175,143,134,185,158,141,66,170,251,231,233,237,209,112,79,126,128,131,134,137,143,144,152,139,55,0,184,235,187,142,152,205,130,103,43,33,157,192,190,185,105,67,69,86,83,88,91,93,90,89,91,109,117,67,102,200,173,147,171,194,98,73,14,0,61,93,100,111,83,54,42
20,172,173,174,175,175,176,177,176,177,177,176,176,175,176,175,172,173,170,168,167,166,163,161,160,158,156,154,152,176,176,177,180,179,180,180,180,181,181,181,180,179,178,175,176,176,173,173,171,168,167,163,161,160,157,156,155,182,182,184,184,184,185,184,183,185,185,185,185,182,192,185,123,181,183,175,175,173,171,169,167,165,161,159,158,185,187,189,189,188,188,190,190,189,189,189,190,186,195,199,105,130,164,184,177,176,175,174,171,169,166,164,162,190,193,193,193,194,194,195,194,193,195,195,195,193,198,200,101,78,106,168,187,180,178,176,175,172,170,167,164,195,196,197,198,199,199,200,198,198,198,199,199,196,206,195,79,120,130,129,198,184,184,182,181,177,175,172,170,199,200,201,203,203,204,203,203,204,203,204,205,200,213,196,81,149,155,101,199,190,189,185,185,181,178,177,175,205,206,206,207,208,208,208,208,209,208,209,209,202,225,202,92,152,171,97,195,196,193,191,190,186,183,180,178,210,210,210,210,211,212,212,211,212,213,214,212,206,235,181,82,164,194,102,186,203,197,195,194,192,186,184,183,213,212,213,214,214,216,215,214,215,217,217,214,214,248,164,88,190,192,97,181,210,200,199,197,196,192,189,186,217,217,217,219,220,219,219,220,219,220,220,199,180,217,178,105,200,192,90,175,214,202,203,201,198,196,193,192,221,222,222,222,222,222,223,223,223,222,223,234,214,176,152,103,165,199,111,171,217,206,205,204,201,199,197,194,223,224,224,225,227,227,227,225,225,226,225,206,230,202,168,133,142,195,117,163,222,208,209,207,205,201,199,197,225,228,229,228,230,229,229,229,229,228,233,191,139,184,211,134,83,133,102,151,226,211,212,210,208,205,202,200,229,230,231,230,231,230,231,232,231,231,235,215,70,143,209,146,80,71,71,137,231,212,214,212,210,207,204,201,231,232,232,231,232,232,233,233,232,232,237,207,92,111,192,184,119,102,60,114,233,217,217,215,213,211,206,204,233,233,233,233,233,233,235,234,235,230,225,198,152,99,89,165,158,133,70,86,234,219,219,217,215,212,210,205,234,235,235,235,236,236,237,238,236,231,223,208,186,137,80,118,154,136,81,68,225,225,223,221,216,214,212,208,237,238,238,238,238,239,239,239,231,219,164,155,197,167,108,92,134,175,126,60,198,236,223,222,221,218,214,210,239,239,240,240,239,240,242,241,227,221,182,91,116,173,91,67,101,178,166,77,120,243,224,224,222,220,216,214,241,241,241,242,242,243,243,243,230,213,173,118,65,123,90,62,128,204,196,115,65,222,233,227,223,222,220,216,243,243,243,245,245,244,244,246,229,217,207,151,79,108,115,91,204,226,186,109,69,224,233,229,226,223,221,218,244,246,247,247,247,247,247,249,228,221,224,150,107,114,177,207,240,197,166,73,97,242,230,231,229,224,220,218,247,247,248,250,249,248,247,252,231,217,216,170,123,110,219,252,222,171,145,58,143,249,229,231,230,225,222,221,248,248,249,250,250,250,249,254,234,202,197,174,127,109,208,223,196,151,118,58,189,246,231,231,230,228,223,221,246,247,248,248,248,249,249,253,240,200,195,173,139,120,199,218,181,135,90,65,229,239,233,232,230,227,228,234,248,249,249,249,249,250,251,251,252,211,191,177,158,121,188,210,161,112,53,125,252,233,233,231,230,234,218,156,250,250,251,250,250,251,253,253,255,223,200,179,154,116,150,171,121,79,43,206,247,235,235,232,221,166,93,34
1,48,66,69,74,81,97,115,127,132,139,144,148,153,161,157,163,164,165,167,167,168,170,171,171,171,171,172,170,55,67,71,76,82,100,118,130,136,142,149,152,163,177,129,156,165,169,170,171,171,171,172,172,172,172,172,171,62,68,72,77,84,103,122,134,140,147,155,157,172,185,112,122,133,160,177,177,176,176,176,175,174,174,173,173,67,69,74,78,85,106,126,137,143,151,178,157,149,187,112,110,124,128,182,182,182,183,182,181,178,178,177,176,70,71,75,80,88,110,128,139,146,155,192,160,124,180,112,106,133,103,177,188,188,188,187,186,184,183,182,181,71,72,76,81,92,114,132,143,150,158,195,165,114,166,114,103,135,96,165,196,193,193,193,191,190,189,187,186,72,73,77,81,95,118,136,145,153,163,197,166,103,154,126,109,144,105,153,201,199,198,198,197,195,194,193,192,73,74,78,82,99,122,140,148,160,175,178,167,100,129,120,106,149,112,143,207,204,203,203,202,200,200,199,198,74,74,79,84,102,126,143,150,174,177,160,166,101,116,120,94,145,116,137,210,208,208,208,206,205,205,203,201,76,76,80,85,104,129,146,152,192,172,143,164,102,126,131,98,163,137,136,211,212,211,211,210,210,209,207,206,76,78,82,87,107,132,149,156,197,158,132,177,113,117,128,100,163,150,130,212,216,215,215,214,213,212,211,210,76,78,82,88,111,135,153,160,199,153,117,171,114,93,116,107,159,150,119,210,219,219,218,217,215,215,216,215,77,78,81,89,114,139,155,164,204,154,101,151,109,88,113,123,170,148,114,206,222,222,222,221,220,219,219,219,78,79,81,90,117,141,158,168,209,165,96,143,145,137,133,151,172,127,101,194,226,225,224,224,224,223,223,223,78,79,82,92,120,145,162,170,208,168,105,152,181,152,138,144,145,120,93,169,230,227,227,227,225,226,226,225,77,79,82,94,123,148,165,173,209,181,142,145,129,135,129,128,122,128,117,142,225,230,229,230,229,229,229,230,77,80,82,96,127,152,167,177,221,196,149,128,109,127,131,142,136,153,152,128,175,232,232,232,233,232,220,192,77,80,83,99,130,155,169,182,228,196,145,117,112,131,144,191,188,175,186,155,117,197,236,232,204,157,103,67,77,80,83,101,133,158,171,185,229,193,137,113,118,139,171,215,225,190,199,156,102,152,221,142,77,55,47,45,76,79,82,103,135,160,173,185,226,198,139,115,126,148,187,218,235,219,181,128,94,128,122,65,46,39,49,40,75,77,81,104,136,161,173,183,220,203,148,117,131,157,197,225,232,213,167,118,93,74,50,56,55,29,45,47,74,76,80,106,139,164,175,184,217,209,167,125,134,160,200,230,224,197,157,116,89,62,45,38,57,33,28,48,72,74,78,106,141,166,178,185,212,211,183,137,136,159,200,228,211,183,147,111,85,61,47,26,43,46,19,34,88,85,88,111,142,165,176,184,202,206,190,149,140,154,198,217,201,175,136,104,81,61,42,27,26,47,26,20,118,117,118,119,122,131,137,142,153,194,194,159,151,151,187,202,191,164,126,98,75,55,46,28,18,39,36,13,117,116,117,118,118,120,121,123,124,168,195,169,155,149,166,187,177,148,114,89,68,39,47,30,13,32,44,18,117,117,119,121,122,123,124,126,125,140,184,172,157,149,145,166,158,130,100,79,67,39,38,30,14,23,46,31,116,118,119,120,121,123,124,126,126,128,168,178,162,152,138,145,147,120,91,70,68,48,26,13,18,18,43,41
7,125,130,136,140,143,145,147,146,146,148,150,150,150,150,149,149,148,148,148,147,146,144,149,125,151,168,161,168,132,138,142,145,149,150,151,152,153,154,155,155,154,153,151,150,150,149,149,148,146,145,144,144,160,100,173,168,140,144,148,152,155,156,158,159,159,160,160,159,157,157,156,157,156,153,153,151,150,149,145,150,138,110,179,168,147,151,155,160,163,162,165,165,165,165,165,165,164,163,162,161,159,159,157,156,154,152,151,147,157,179,160,167,153,158,163,166,169,171,172,171,173,171,171,171,170,169,168,167,165,164,163,161,160,157,154,153,154,135,107,169,158,165,170,173,174,177,178,178,177,176,177,179,177,176,175,174,174,172,170,167,166,164,160,157,157,144,136,172,164,170,175,178,181,183,183,183,184,183,184,184,183,182,180,178,179,178,176,174,172,169,165,162,161,156,157,174,169,175,181,183,186,187,188,189,188,187,187,188,187,185,185,183,183,183,181,178,176,174,171,169,166,163,166,185,176,180,185,188,192,193,195,199,202,198,197,197,196,195,195,195,193,189,186,183,180,178,176,174,171,167,168,189,182,187,191,195,199,197,189,163,142,160,168,174,173,170,166,162,174,183,190,192,192,188,182,177,176,169,171,191,186,191,198,198,195,192,179,132,66,89,127,146,136,136,134,123,111,121,131,129,151,163,180,186,179,183,181,191,192,196,193,190,190,183,173,132,94,95,102,119,117,122,125,114,87,104,110,102,115,119,155,153,191,139,141,198,190,188,188,196,194,188,175,127,82,98,102,112,106,109,120,109,88,82,88,100,108,115,147,123,166,13,90,219,194,196,196,202,199,190,166,123,59,71,94,117,128,119,124,106,105,95,106,120,97,100,102,121,131,39,32,132,202,197,196,203,194,185,166,104,64,83,89,102,101,102,104,103,96,85,100,118,105,106,105,130,150,115,30,12,200,202,198,199,201,191,188,133,54,52,47,34,77,101,87,82,82,90,98,106,96,92,89,88,111,80,32,18,206,199,194,203,191,180,199,147,51,40,47,31,69,149,212,209,216,213,183,108,31,34,33,29,31,22,20,21,196,187,185,188,170,173,173,120,61,51,55,56,40,22,175,197,117,79,33,5,4,0,0,15,11,14,20,18,188,187,179,172,165,162,161,118,55,39,56,71,65,45,33,11,0,0,18,16,4,7,2,2,6,3,16,20,180,176,167,163,163,163,177,134,50,15,0,43,55,39,36,16,7,0,11,25,5,0,5,3,1,10,4,0,164,158,165,164,163,161,159,127,51,23,11,19,48,60,65,18,5,5,0,13,19,0,0,0,2,18,0,0,152,144,144,139,134,131,112,80,53,39,30,14,0,13,23,0,0,17,0,0,10,18,0,0,0,0,0,0,140,122,102,94,89,86,83,58,46,28,0,25,0,0,1,5,0,3,10,0,0,8,10,0,0,0,0,0,121,114,86,80,68,93,100,27,0,11,0,10,7,0,0,11,0,0,9,5,0,0,7,0,0,0,0,0,83,87,93,107,156,189,45,21,0,2,0,0,17,0,0,3,8,0,0,9,0,0,0,2,0,0,0,0,74,206,216,234,238,83,5,29,8,0,0,0,5,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,13,153,138,153,100,8,21,3,0,0,0,0,0,9,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,91,88,69,33,13,7,4,0,0,0,0,0,9,0,0,0,6,0,0,0,0,0,0,0,0,0,0
7,192,194,196,198,200,201,202,204,204,204,205,205,206,207,207,206,205,206,206,205,205,205,203,202,201,200,197,197,195,196,198,200,202,203,205,207,207,206,207,207,208,208,208,208,207,207,207,207,207,208,206,205,203,201,200,199,197,199,200,201,203,205,206,208,208,208,209,209,209,208,208,209,209,209,209,208,208,209,208,207,206,204,202,200,197,200,201,203,205,207,207,208,210,210,210,211,211,211,211,212,211,212,211,211,210,210,210,209,208,206,204,203,199,201,202,205,206,208,209,210,212,212,212,213,213,214,214,214,215,214,213,213,213,212,212,211,209,207,206,206,200,202,205,207,208,210,212,212,213,214,214,215,215,216,215,215,215,215,215,215,215,214,213,211,210,209,208,207,202,205,208,209,211,212,213,214,215,215,216,216,217,217,216,216,216,217,217,217,217,216,214,214,212,212,211,209,204,207,209,211,213,214,214,216,217,217,218,218,217,219,219,218,219,219,219,219,218,217,216,215,214,214,212,211,207,208,210,212,214,215,216,218,219,219,220,220,219,220,220,221,221,221,221,220,220,218,217,217,216,215,214,213,207,209,211,214,216,217,218,219,222,222,213,215,219,220,220,221,221,222,222,222,220,219,216,218,219,216,216,214,208,211,213,215,216,219,222,228,233,227,199,183,199,211,212,211,213,216,212,214,209,214,206,231,221,213,217,216,209,212,214,218,223,229,231,232,233,230,213,173,173,191,200,201,199,194,194,197,196,200,191,198,189,213,219,218,211,218,226,232,233,231,229,224,219,217,204,171,160,171,185,194,196,197,192,186,189,189,181,187,184,206,216,215,230,234,233,233,228,223,217,208,206,215,213,178,155,151,155,165,174,178,174,179,183,185,182,191,188,195,195,205,240,234,229,222,215,211,207,207,211,219,213,180,158,160,162,158,149,140,164,176,175,175,172,174,180,182,191,216,238,230,221,211,204,200,201,201,208,213,197,168,151,155,167,171,162,150,177,227,224,221,220,220,219,221,224,225,233,228,220,210,201,200,200,197,199,209,204,172,143,141,153,157,158,150,170,231,231,230,230,228,228,227,227,225,230,227,222,214,207,205,205,204,204,214,213,180,159,163,163,157,152,140,208,235,232,232,230,230,229,228,228,226,224,220,218,216,213,209,206,204,204,207,204,181,166,171,169,163,152,177,234,234,232,231,231,231,230,230,229,228,205,205,209,214,215,210,204,199,197,190,176,164,145,143,149,154,146,216,233,234,234,232,231,231,231,230,229,228,136,148,172,198,207,200,191,182,174,166,161,156,111,103,122,143,169,232,235,235,234,233,231,232,232,232,224,178,68,71,84,114,150,166,166,172,181,201,220,224,157,126,147,173,219,236,236,236,235,235,234,234,217,198,170,126,61,57,55,56,62,99,202,226,233,236,236,237,222,204,221,233,238,237,237,237,236,237,228,191,147,128,113,102,55,52,50,48,42,110,235,234,235,235,236,237,237,237,237,237,237,237,236,237,238,213,153,117,117,114,104,96,50,48,45,43,37,103,236,235,236,236,237,238,238,237,238,238,238,237,237,239,230,158,108,85,95,99,94,91,49,48,47,45,29,94,225,223,226,228,230,230,232,232,233,234,235,235,237,217,154,129,107,78,74,88,86,84,56,55,50,38,22,66,152,155,156,160,161,164,167,169,170,172,174,174,180,155,99,114,105,71,65,74,78,77,65,59,45,26,23,59,125,126,125,127,128,129,129,130,132,131,131,135,147,129,84,106,99,68,60,68,71,73
6,161,160,161,162,163,163,164,164,164,164,166,165,164,164,162,162,162,163,162,161,161,160,160,158,157,158,156,155,160,162,162,164,164,165,166,166,166,166,166,166,166,166,164,163,163,163,162,163,161,161,161,161,158,158,159,158,162,164,165,165,166,166,167,166,167,166,166,166,167,167,165,164,165,164,163,163,162,162,162,161,160,159,159,158,163,165,166,165,167,167,167,167,168,167,168,167,166,166,166,166,166,165,164,164,162,163,162,163,161,159,160,158,164,166,167,166,168,169,169,170,170,170,169,169,168,168,167,167,165,166,166,166,165,165,163,158,157,165,158,158,165,166,167,167,168,169,170,170,170,170,169,169,169,169,168,168,169,169,167,164,161,153,151,133,163,187,145,151,166,167,168,169,171,171,171,171,171,171,172,172,171,169,166,163,156,149,152,156,152,145,146,134,147,159,124,152,168,168,169,170,173,174,173,172,172,171,168,166,166,162,150,143,124,130,137,152,143,133,116,105,102,116,145,164,168,170,171,173,173,175,175,174,173,167,144,142,131,139,151,144,135,113,121,119,103,91,94,112,134,157,165,162,170,172,172,173,174,176,176,173,169,161,150,150,124,87,111,110,97,80,88,95,116,135,160,171,170,167,164,163,172,173,173,176,177,176,173,158,160,162,164,154,112,75,62,61,65,89,128,163,174,174,169,167,167,167,165,165,174,175,176,177,174,169,165,158,153,157,163,140,97,73,65,69,135,163,178,175,172,171,170,170,169,167,166,166,175,175,175,172,168,164,161,156,147,154,153,146,130,84,66,68,160,182,170,174,174,173,173,172,169,167,168,168,175,174,173,169,165,157,156,154,149,151,154,158,143,96,69,65,77,177,175,175,174,173,173,172,171,169,169,168,171,172,175,168,160,156,156,156,152,153,154,152,140,103,68,71,59,122,187,175,175,175,173,173,172,171,171,170,180,182,176,167,161,156,154,156,153,149,153,154,150,126,74,65,69,69,169,181,176,176,175,173,173,172,171,170,186,183,171,164,165,157,154,154,156,157,159,159,152,122,79,66,64,60,165,182,177,177,177,175,174,173,173,171,182,174,167,168,163,157,153,153,153,146,145,142,130,107,84,71,57,114,190,177,178,178,177,177,175,174,174,172,185,171,163,165,155,153,157,151,147,137,131,128,116,99,88,80,57,112,192,178,180,178,178,177,176,177,175,173,187,179,161,150,150,155,157,154,145,137,129,129,118,94,87,88,72,63,172,186,181,179,179,178,177,177,176,174,173,174,153,139,142,150,150,148,138,127,113,109,93,81,82,93,74,63,173,186,182,181,179,178,177,178,176,175,82,127,132,123,131,140,139,131,118,107,97,86,57,67,84,89,68,135,190,183,183,182,180,179,178,179,178,177,47,56,90,105,114,125,121,108,92,80,73,68,62,75,85,92,153,191,185,184,184,183,182,180,179,179,178,177,50,50,47,56,67,85,94,87,95,117,138,113,97,100,132,174,192,186,186,184,184,184,183,181,181,180,178,177,45,47,46,28,25,34,38,45,173,197,195,193,187,189,193,191,188,188,186,185,184,185,184,183,182,181,178,178,42,41,49,41,22,29,14,89,198,188,189,189,190,189,188,188,188,187,186,187,185,184,184,183,182,181,179,178,40,38,45,45,23,26,20,161,198,188,191,190,189,189,189,189,188,187,187,186,185,185,183,183,182,180,179,179,37,36,46,46,26,15,74,199,188,191,190,190,191,191,190,190,189,188,187,187,186,185,184,184,183,182,180,179
18,166,168,169,171,173,175,175,175,177,177,178,178,178,176,176,176,175,175,174,173,174,173,172,172,170,170,169,168,168,170,171,173,174,176,177,177,179,179,179,180,180,179,178,178,177,176,175,176,177,175,174,173,173,172,171,171,172,172,174,175,177,178,179,179,179,180,180,181,180,180,180,179,179,179,178,177,177,176,176,175,175,174,173,172,172,174,176,178,179,179,181,180,181,181,181,181,181,181,181,181,181,181,180,179,178,178,179,176,176,174,174,173,173,174,177,178,180,181,181,181,181,182,182,183,183,183,183,183,182,182,182,180,180,176,171,178,177,177,176,175,174,175,178,180,181,181,183,183,183,184,184,184,185,185,185,184,184,182,182,181,196,163,132,179,179,178,177,176,177,179,180,181,181,182,185,185,185,186,186,186,186,186,186,184,184,185,182,185,211,162,98,167,181,180,179,178,178,180,181,182,183,185,187,188,187,188,187,188,188,187,190,173,148,161,155,155,211,179,104,129,183,181,181,180,179,180,182,184,185,187,188,189,189,190,189,189,189,190,199,185,145,121,127,147,210,192,127,88,155,184,181,181,180,182,184,186,187,188,189,190,191,192,192,191,193,178,147,162,168,133,104,126,186,189,145,109,104,161,184,182,181,183,185,187,188,189,190,192,193,192,193,202,199,175,136,99,147,142,102,83,116,163,156,127,102,102,182,184,182,185,186,188,189,191,192,193,194,193,209,216,215,182,149,106,105,136,98,66,66,126,170,136,110,83,174,187,184,186,187,189,191,192,193,194,194,200,216,202,219,186,156,115,76,96,82,60,53,138,180,155,117,87,175,187,186,187,189,191,193,194,194,196,196,218,216,183,201,175,158,113,73,74,72,58,51,123,180,167,120,84,173,188,187,188,190,192,194,194,196,196,210,217,201,181,188,147,125,95,72,85,67,51,55,124,174,169,123,84,174,190,188,190,192,193,194,196,195,201,225,209,176,151,167,112,94,79,81,102,74,87,107,138,171,157,115,81,172,192,189,191,192,193,195,197,197,204,232,219,190,148,128,117,104,51,85,120,143,165,166,140,142,135,111,77,164,192,190,192,193,196,198,199,198,212,233,222,200,156,119,122,96,41,132,190,195,178,162,144,110,117,110,76,155,195,191,193,194,197,199,201,200,222,233,219,185,152,134,120,94,112,204,208,195,172,144,137,111,102,101,75,165,197,193,195,196,197,200,201,203,226,231,210,174,159,133,107,116,189,211,202,186,166,141,126,113,91,83,96,188,195,193,194,196,198,200,201,207,228,229,206,175,165,134,115,164,211,206,193,180,162,136,120,108,86,71,147,198,195,194,195,196,198,200,202,209,228,226,206,182,178,135,148,179,205,200,184,174,156,125,112,97,77,84,187,198,197,195,196,197,200,201,202,210,225,221,206,193,174,138,140,178,187,189,174,164,142,116,101,88,66,131,201,199,199,195,196,198,200,202,202,209,224,220,209,196,159,128,129,165,174,173,165,153,130,108,90,73,82,184,201,200,200,196,197,199,201,202,203,212,220,217,210,183,139,114,137,154,167,164,153,139,115,94,76,63,146,203,201,202,201,197,198,200,200,203,204,216,215,206,196,168,139,131,146,155,162,158,141,125,103,81,62,116,197,202,201,202,201,198,199,201,201,203,204,224,223,220,206,192,173,155,142,152,161,148,125,107,90,66,98,191,204,203,202,202,201,196,200,196,190,203,209,229,224,222,210,192,173,155,134,143,154,134,112,97,76,78,176,206,205,203,203,203,203
10,63,66,71,75,85,103,115,125,129,133,139,146,151,154,165,155,158,168,167,167,168,168,168,166,166,165,164,161,64,67,71,75,87,105,117,127,130,136,142,148,152,157,200,135,123,173,167,168,170,170,168,167,167,166,164,161,65,68,72,77,90,108,119,128,131,136,144,152,154,166,199,144,103,170,171,170,172,172,170,170,168,168,166,164,66,70,73,78,91,108,122,130,134,139,147,153,158,167,199,165,96,162,177,173,174,173,172,170,171,170,169,166,67,71,75,78,92,110,125,132,135,142,150,156,163,164,200,191,109,152,182,176,176,175,175,175,174,172,170,169,68,71,77,80,95,114,126,134,137,144,152,158,164,165,211,201,119,139,187,177,178,178,177,177,176,175,172,170,69,72,78,81,98,116,128,136,139,146,155,162,168,166,210,198,129,127,189,179,181,181,180,179,178,177,175,173,70,74,79,81,98,117,131,138,141,150,157,163,170,167,213,208,129,108,190,183,184,184,183,181,179,179,177,176,70,73,78,82,100,120,133,139,143,150,158,167,171,169,218,217,143,91,185,186,185,185,184,183,182,182,179,179,71,73,79,84,103,119,134,145,148,159,194,131,152,177,208,195,144,80,171,193,187,187,187,186,185,184,182,182,71,76,80,86,100,141,177,131,96,143,177,83,107,188,199,174,130,69,151,198,189,190,189,187,187,187,185,184,72,76,80,88,99,159,174,91,64,78,122,83,43,147,189,149,139,74,142,203,190,192,191,189,188,188,186,186,72,77,79,88,106,131,133,92,79,68,109,92,49,50,108,114,148,97,117,205,192,193,192,192,190,189,189,187,73,77,80,88,109,127,140,144,136,123,125,99,80,48,50,72,111,104,84,193,196,194,195,193,193,192,191,189,74,77,80,88,110,128,144,151,164,170,112,119,100,91,63,53,79,87,63,173,205,198,197,195,195,194,192,191,74,77,81,90,110,129,146,150,181,164,81,100,147,127,106,73,61,71,53,162,210,199,200,198,197,196,194,192,72,76,81,91,113,130,149,155,172,179,140,70,108,158,133,112,80,58,46,137,213,200,201,200,198,197,195,192,73,78,79,89,115,128,169,173,134,192,154,87,90,207,152,133,109,57,38,87,211,202,203,202,201,199,198,196,75,78,80,90,115,128,184,206,130,138,143,92,150,233,171,142,120,68,41,71,209,206,205,204,204,202,201,199,74,78,80,92,116,131,170,207,154,92,150,132,155,233,167,135,121,82,44,69,211,208,207,207,205,203,202,200,75,77,80,93,117,137,150,178,167,103,152,185,159,214,180,139,114,87,52,67,210,209,209,209,207,205,203,202,74,77,80,94,118,137,150,166,168,106,151,237,135,180,185,154,110,81,59,64,209,211,210,209,209,207,205,203,73,76,79,94,118,137,153,156,182,145,174,155,79,144,184,143,106,77,58,74,214,212,212,210,209,208,206,203,75,78,79,93,119,139,155,157,174,210,178,96,105,167,166,131,97,72,55,92,222,212,214,212,210,209,206,205,72,76,78,95,119,139,152,158,160,195,207,181,154,175,145,116,90,76,54,112,225,209,213,212,210,210,208,207,70,73,76,93,118,138,152,155,163,183,201,184,139,142,129,102,92,86,58,126,225,210,213,212,210,209,208,206,69,71,74,94,119,137,154,157,168,68,162,191,124,146,150,145,126,104,56,145,225,212,214,211,211,210,209,207,68,70,72,91,117,136,150,167,106,0,148,210,179,172,154,168,143,102,46,149,228,213,215,213,211,210,210,207
22,96,100,107,127,144,156,161,165,174,182,187,191,195,198,202,203,206,207,207,205,205,204,203,201,199,199,196,195,97,100,109,129,146,158,162,167,177,182,188,198,197,200,205,206,209,199,202,210,207,207,205,207,204,201,198,198,98,101,111,132,148,159,164,170,178,195,201,160,202,203,207,206,228,174,140,217,208,207,210,188,200,207,201,199,99,102,113,134,150,163,167,175,175,218,223,118,196,209,209,210,240,172,119,218,211,215,220,135,153,217,204,202,99,102,113,136,151,163,170,177,178,215,235,125,182,215,209,215,235,160,133,226,210,227,217,123,160,219,206,205,100,103,115,139,154,165,171,178,182,206,243,138,165,220,211,219,227,152,151,228,215,231,194,115,195,216,208,207,99,102,117,139,154,167,172,180,186,202,252,172,148,221,215,216,204,134,163,227,231,241,166,128,223,211,211,209,100,104,118,139,155,169,174,181,189,198,249,184,135,214,219,220,206,122,172,230,238,223,142,169,226,213,214,211,100,104,119,140,157,171,175,181,192,198,242,196,123,196,225,218,211,124,188,243,238,180,118,205,222,217,216,213,99,103,120,143,159,172,177,183,194,198,234,230,148,172,231,204,187,104,218,255,232,154,130,229,219,218,217,215,101,103,120,143,160,175,180,185,195,201,220,238,154,138,216,174,171,136,241,243,214,123,176,234,222,220,218,217,100,104,121,145,163,175,179,187,197,207,212,234,145,95,163,181,207,237,245,220,165,111,220,228,224,223,220,218,99,105,123,145,164,176,180,188,199,207,207,231,171,127,189,196,207,229,224,204,116,162,242,224,225,224,223,220,100,105,125,147,165,177,181,190,198,223,209,163,171,142,175,189,216,208,220,173,103,214,238,229,227,226,226,223,100,105,125,147,166,179,182,192,199,241,200,191,170,181,140,117,177,195,182,125,106,227,236,232,230,228,226,224,97,104,125,147,168,179,182,193,201,250,221,205,206,192,143,100,91,144,141,105,115,240,233,233,232,231,228,226,98,104,127,150,169,180,185,191,209,255,231,175,150,169,174,157,114,82,86,89,116,244,234,234,234,233,229,226,100,106,128,151,170,181,185,196,209,255,240,159,89,100,174,178,154,118,98,78,87,234,241,235,235,233,231,230,97,104,128,150,169,180,185,196,204,255,253,188,169,85,225,205,170,142,120,66,68,227,243,236,234,233,233,231,95,101,127,150,169,180,185,195,201,255,255,202,175,138,251,230,184,149,124,61,83,241,239,235,234,234,234,233,94,100,126,151,171,181,184,197,200,250,255,204,176,215,240,206,185,135,112,55,114,255,236,237,235,234,234,232,92,99,125,151,171,181,185,196,202,237,255,231,187,241,239,183,190,157,105,50,139,255,236,239,236,233,233,232,84,91,120,148,170,181,186,198,207,227,251,234,188,230,230,189,178,161,100,45,186,255,242,244,240,237,237,235,120,124,135,148,161,171,176,183,194,190,238,236,190,186,208,170,150,126,72,61,207,223,217,216,216,215,215,214,130,131,126,118,123,126,125,126,134,87,125,235,165,133,152,136,110,87,64,85,121,116,114,114,114,113,116,113,128,128,130,130,130,129,129,131,131,79,36,120,139,133,144,154,127,92,54,85,128,118,118,118,117,117,93,60,130,131,130,131,131,131,131,136,106,53,60,39,91,143,147,153,116,64,9,57,132,119,119,121,97,65,38,28,130,130,130,130,130,130,133,130,71,62,60,56,43,66,98,84,40,11,0,82,131,117,121,97,48,42,30,18
0,214,214,216,215,216,218,219,219,219,220,218,219,219,218,218,217,219,223,219,218,219,218,219,219,217,217,218,218,215,216,217,217,217,217,218,219,220,222,220,219,220,221,221,227,205,187,217,224,218,225,222,221,221,219,220,220,217,218,218,219,219,219,219,219,221,222,222,222,214,190,209,242,191,159,153,182,172,184,223,202,192,224,220,223,217,218,219,219,221,222,220,221,221,223,226,246,216,178,157,222,198,187,137,112,162,147,168,190,138,229,220,223,219,219,220,221,223,222,223,222,224,201,223,255,212,196,158,224,212,194,149,125,181,160,133,184,136,223,225,224,219,219,221,222,223,224,219,232,244,182,164,243,225,206,158,219,235,200,154,138,196,159,116,168,130,208,230,224,219,220,222,224,224,224,220,249,243,200,168,216,248,207,156,205,245,205,149,142,202,153,100,157,130,156,238,221,221,221,222,224,226,221,239,233,236,215,182,178,254,204,151,184,251,199,141,118,180,144,91,146,151,101,218,229,221,222,223,226,223,230,240,205,243,225,187,149,242,206,150,148,237,183,129,94,150,132,86,148,162,94,190,238,223,224,225,226,223,240,222,181,227,229,189,136,219,203,146,118,202,170,128,93,130,118,85,165,171,105,189,238,224,224,225,225,226,241,224,192,206,212,175,120,182,190,141,96,173,164,129,90,133,114,111,195,186,113,191,239,221,222,224,222,234,231,207,173,171,198,164,114,153,183,136,78,149,167,117,88,152,113,158,213,185,114,196,239,221,222,223,220,234,248,219,182,139,188,161,103,141,183,137,73,147,178,118,164,195,143,162,212,186,116,208,237,220,223,225,222,233,251,224,189,135,137,166,116,131,194,149,80,140,186,184,211,199,175,140,180,183,116,214,234,222,224,225,222,237,253,232,203,168,122,146,142,127,200,169,157,202,211,209,197,184,164,147,130,143,105,212,236,224,224,226,222,236,254,239,211,185,168,156,162,182,195,211,230,229,221,205,194,174,149,141,122,112,99,209,237,223,225,226,223,236,251,243,221,201,191,180,169,184,208,221,227,228,226,207,189,170,144,128,119,107,103,223,235,221,224,227,224,233,246,244,230,217,205,189,181,179,201,216,224,222,218,203,182,167,142,124,115,98,170,240,232,223,225,228,223,223,244,244,243,229,212,192,184,182,200,219,228,218,209,198,179,161,137,120,98,156,237,231,232,213,214,219,220,213,238,245,249,229,213,196,184,183,203,225,225,214,204,194,176,153,131,104,126,236,235,235,235,134,135,138,145,134,219,245,242,226,215,200,186,179,203,220,212,198,189,179,163,141,124,99,180,225,221,226,224,117,119,119,121,100,184,245,223,218,217,207,190,176,199,214,201,183,166,154,143,129,115,115,129,134,132,128,142,125,125,126,128,111,170,240,211,218,220,207,191,176,193,212,195,170,142,129,123,112,118,125,116,112,129,178,220,123,121,122,125,113,160,239,205,219,219,204,192,179,189,205,188,152,121,114,108,123,125,124,140,189,239,249,235,124,121,121,126,116,155,250,217,220,215,198,190,180,177,188,176,133,111,106,114,123,139,206,246,255,247,235,222,121,121,122,125,114,148,253,229,226,212,196,191,187,168,178,168,124,108,106,113,162,241,255,255,254,246,252,242,124,122,122,125,116,146,241,233,230,211,197,194,187,160,173,164,119,101,99,182,249,253,255,255,239,238,250,255,125,122,123,126,115,146,232,232,228,204,193,193,190,157,165,158,118,84,154,255,235,253,249,240,235,240,247,253
8,139,139,140,142,143,143,143,142,141,141,141,140,140,140,139,138,137,136,136,134,134,133,133,132,130,129,127,127,141,141,142,144,144,143,144,144,143,143,142,142,143,140,139,139,138,138,137,136,135,135,134,133,131,129,128,128,144,144,143,145,145,144,144,144,145,144,144,138,133,142,140,140,139,140,139,137,136,135,135,133,132,130,130,129,143,144,145,146,147,147,146,145,145,144,147,136,90,135,145,142,142,141,139,138,137,137,136,135,134,132,131,130,145,145,146,147,148,147,147,147,147,144,153,124,70,130,147,143,143,141,140,140,139,139,138,137,136,134,132,130,146,147,147,148,149,148,148,149,148,146,157,103,69,142,146,144,144,142,141,141,140,140,139,138,137,135,134,133,147,148,149,150,151,151,150,151,148,153,159,97,79,151,144,146,144,144,143,142,141,141,139,139,138,136,135,134,148,150,149,149,151,151,151,152,147,160,155,89,92,154,145,148,148,143,143,143,142,141,140,140,138,137,136,134,149,150,151,150,151,152,152,151,148,163,144,77,102,156,149,129,128,151,145,143,142,141,140,140,139,137,137,134,150,151,152,152,153,152,152,153,149,167,141,101,115,153,157,131,93,121,143,149,143,142,141,141,140,138,137,136,151,152,152,153,153,153,154,154,152,169,141,124,125,149,150,154,125,93,96,106,146,147,147,143,141,139,138,137,152,153,153,154,154,155,155,154,154,164,147,132,137,163,131,159,146,138,123,67,79,110,103,141,143,139,139,138,153,154,154,154,155,156,156,153,162,161,133,140,151,153,126,116,144,134,123,83,37,46,42,81,150,139,140,139,153,155,155,156,156,156,157,156,162,143,131,135,142,142,116,70,95,152,124,92,44,35,43,46,140,144,141,140,154,155,157,157,157,158,155,165,160,126,115,117,136,131,92,56,41,161,136,98,46,47,52,50,143,143,142,141,155,156,157,157,158,158,157,176,166,140,107,84,128,117,75,54,63,158,144,100,49,39,32,97,153,142,143,141,156,157,158,158,160,156,166,182,161,137,114,90,121,141,124,143,146,136,131,98,60,21,64,149,145,144,144,142,156,159,160,159,161,157,175,176,151,141,118,106,87,153,167,144,148,122,105,99,62,48,143,151,146,146,145,144,157,159,160,161,161,161,180,168,151,142,107,94,130,165,155,126,138,124,84,95,48,101,160,148,149,147,146,143,158,160,161,161,159,166,183,166,153,138,106,128,168,161,147,125,121,120,72,72,37,132,156,149,150,148,146,145,159,160,161,161,163,169,180,169,155,136,120,154,162,154,138,116,109,104,69,45,58,159,151,151,150,148,148,147,161,161,162,165,145,169,180,168,148,132,122,147,147,138,127,105,106,83,56,27,106,162,152,151,151,150,148,146,160,160,166,150,53,89,157,154,130,119,124,128,140,128,113,101,88,61,38,39,150,155,154,152,151,150,149,147,161,161,167,80,48,42,64,127,137,127,124,123,140,122,102,83,57,46,21,102,162,153,155,152,151,150,149,148,159,171,120,44,48,48,42,47,98,123,115,121,130,101,77,61,51,28,64,162,155,156,155,152,152,151,149,149,168,150,59,47,45,42,46,30,16,44,56,89,108,74,50,46,27,51,152,160,156,156,155,154,152,151,150,150,164,84,42,47,42,38,40,44,8,21,21,21,33,39,34,22,70,153,161,156,156,156,155,153,151,150,150,149,106,41,46,44,40,35,38,42,6,12,23,16,10,11,3,54,168,158,157,156,155,156,154,152,151,150,148,147
24,91,103,116,125,133,137,138,144,151,155,158,162,164,165,169,172,173,175,177,178,178,179,178,178,178,178,176,176,91,105,118,127,135,138,139,146,153,157,160,164,166,168,171,173,175,177,179,180,180,181,181,180,181,180,180,180,92,106,119,129,136,140,141,149,154,158,162,166,169,172,174,175,177,179,180,181,182,183,182,181,181,181,181,181,94,108,120,132,138,138,146,151,156,160,164,168,171,174,176,178,179,181,182,183,183,184,185,183,183,183,183,182,94,109,121,133,138,170,138,147,160,162,166,169,173,175,178,179,181,183,184,186,185,186,186,186,186,185,185,185,94,110,122,132,144,187,113,122,166,163,167,171,174,177,179,181,184,184,186,187,188,188,187,187,187,188,188,187,96,110,124,134,142,164,107,97,164,165,170,174,176,181,182,184,186,191,190,190,191,188,190,189,188,188,188,188,96,112,125,136,139,166,120,79,152,172,171,178,178,178,181,194,195,161,180,195,191,192,192,191,191,190,190,189,97,113,126,138,143,154,141,90,118,175,170,161,186,183,130,176,210,151,109,186,196,193,193,193,193,192,192,192,99,114,128,138,146,149,169,112,84,162,192,142,186,201,115,149,200,148,88,123,204,195,195,194,194,195,194,193,99,115,128,140,148,148,163,136,106,163,222,166,203,210,127,185,184,110,83,89,189,199,196,195,195,196,196,195,101,116,129,141,149,151,158,180,134,166,238,171,195,206,122,194,174,88,72,79,153,209,195,198,199,199,194,185,102,117,130,141,150,153,155,174,159,188,229,163,174,207,124,201,181,85,73,86,114,211,198,201,199,193,182,163,103,119,131,143,151,154,155,174,222,194,209,176,157,195,126,215,183,72,69,86,77,187,209,197,198,199,167,123,104,119,133,144,152,156,156,182,208,168,177,163,120,172,131,226,151,54,78,96,84,125,196,189,202,179,122,91,106,121,135,146,153,157,158,179,228,190,167,151,109,158,132,101,62,76,90,112,138,149,172,179,166,114,90,171,106,123,136,147,153,157,159,176,231,206,166,147,156,159,179,102,109,170,164,173,170,163,155,144,102,107,193,211,106,123,137,147,155,157,160,173,225,212,186,157,151,159,190,194,220,212,199,185,166,141,125,96,103,204,212,205,107,124,138,148,155,157,162,172,223,213,182,157,169,208,226,231,215,200,186,171,144,118,88,93,198,214,207,208,108,125,138,148,155,157,163,169,216,216,189,175,181,211,230,229,212,190,172,147,118,81,99,195,217,209,211,209,110,125,137,149,156,158,164,167,203,220,198,185,175,208,229,222,205,178,152,125,79,125,211,216,211,213,212,211,110,126,138,150,157,159,165,170,192,219,200,175,161,201,209,198,187,163,135,82,132,223,216,213,214,214,213,212,109,125,137,150,157,158,164,170,187,210,180,156,161,201,192,172,155,131,82,127,222,214,213,215,215,214,213,212,108,125,137,149,155,157,162,170,182,203,178,171,175,201,185,153,130,86,90,213,216,213,214,214,213,213,213,213,108,125,138,149,156,157,163,171,182,224,204,191,184,196,176,136,117,73,155,220,211,214,215,215,215,214,214,214,108,124,138,150,156,157,164,173,181,231,220,197,177,191,160,127,106,80,187,218,214,215,217,216,215,216,215,215,108,124,138,149,156,157,164,172,178,213,203,182,175,191,154,137,88,84,200,217,215,216,216,216,215,215,216,216,106,123,137,149,155,158,164,169,182,207,186,162,170,181,150,129,71,86,208,216,215,216,216,216,216,216,217,216
24,137,141,145,148,150,152,154,157,158,160,161,164,165,165,167,169,170,171,174,174,175,175,176,176,175,177,177,178,137,141,144,147,150,152,155,157,159,161,162,164,166,167,169,170,171,172,174,174,175,177,177,177,178,179,179,180,138,142,145,148,151,153,155,158,160,162,164,166,168,169,170,172,172,173,175,175,177,177,178,179,179,180,180,180,139,143,145,149,151,153,156,159,161,163,165,167,169,170,172,174,173,173,176,177,179,179,180,181,181,181,181,180,139,143,146,150,152,154,157,159,162,164,166,168,170,171,172,174,175,175,176,179,180,181,180,181,181,181,180,180,140,144,148,151,153,156,158,160,163,165,166,168,170,171,172,174,176,177,179,180,180,181,181,181,181,181,182,181,141,144,154,149,134,156,158,161,164,166,168,169,170,169,173,175,173,167,176,180,181,181,181,181,182,183,182,183,141,143,161,159,120,147,159,162,164,166,167,170,171,154,139,172,171,141,139,177,181,181,181,182,183,183,183,183,142,144,151,162,129,126,160,162,165,166,150,164,184,158,124,153,176,145,107,139,183,183,183,184,184,184,184,181,142,145,149,161,153,126,149,162,174,179,153,143,183,163,131,142,178,151,108,99,177,184,184,186,185,184,172,155,142,146,150,157,175,151,127,158,183,193,163,136,175,169,134,127,175,146,104,82,163,186,184,184,185,176,147,120,142,146,150,153,169,164,133,142,173,200,176,142,149,176,141,112,160,132,96,73,148,187,184,184,177,162,130,105,142,147,150,153,157,169,171,158,162,187,181,143,120,159,142,103,134,122,97,71,114,184,184,171,161,146,113,123,142,147,151,153,155,167,179,174,175,182,172,137,106,134,137,101,111,135,106,73,87,160,166,157,148,121,102,160,143,147,150,153,157,159,176,178,172,177,167,137,119,115,148,118,108,158,116,87,118,137,153,151,123,98,143,186,143,148,151,154,157,158,171,185,167,153,149,147,142,114,153,138,95,148,126,143,161,151,144,130,103,125,183,187,143,148,152,155,157,159,168,184,155,143,140,146,145,125,141,133,102,148,173,175,162,145,126,112,109,176,188,188,144,148,152,155,157,160,166,192,172,151,136,137,145,154,144,142,163,181,178,170,156,138,117,101,146,189,188,188,144,148,152,155,158,162,165,196,188,164,142,134,154,170,178,188,191,183,175,164,149,128,103,113,183,190,189,189,145,149,152,155,158,162,164,195,198,174,158,143,148,168,186,201,192,182,176,162,137,112,95,149,190,189,189,189,145,149,152,155,159,160,162,188,203,182,172,160,150,169,185,198,191,184,175,156,132,102,113,182,189,188,189,189,145,150,153,155,158,160,164,175,200,191,179,170,158,167,183,193,188,179,167,151,131,100,157,190,190,189,189,189,145,149,153,156,157,160,164,168,185,194,184,169,160,166,180,186,181,169,154,140,113,128,186,189,190,190,190,190,144,148,152,155,157,161,165,167,177,195,182,168,159,167,173,176,171,158,140,120,108,173,189,189,190,190,191,192,143,148,151,153,156,160,163,165,172,184,172,167,162,164,169,171,166,153,132,104,137,190,188,188,189,189,189,190,141,146,150,152,155,159,161,164,170,176,169,174,172,172,172,168,159,146,124,101,164,188,187,187,188,188,188,188,141,145,149,151,153,158,160,162,170,187,182,186,179,177,170,163,154,139,114,105,177,186,186,186,187,187,189,188,140,145,149,151,153,158,160,161,172,198,188,186,180,175,164,158,153,132,106,113,184,186,186,186,186,187,188,188
5,99,102,106,110,114,117,119,122,123,125,126,127,127,128,127,126,127,127,127,125,126,125,123,122,121,121,120,119,100,105,109,112,116,119,121,124,125,126,128,129,129,129,129,129,128,128,128,129,127,128,126,125,124,122,122,121,102,107,112,116,119,120,123,126,127,129,130,131,133,132,132,131,129,139,77,112,133,128,129,127,127,126,123,122,104,110,114,117,120,122,125,128,129,128,139,119,83,138,134,131,144,129,49,108,137,131,130,128,129,128,125,123,107,112,116,119,122,124,126,130,133,129,149,110,53,139,136,136,153,79,66,139,134,134,133,132,130,129,128,127,108,113,117,121,125,125,132,133,135,130,164,80,75,148,135,151,122,42,111,143,135,136,135,135,134,132,130,130,109,114,119,123,125,137,103,125,138,142,165,49,105,149,142,148,80,67,146,140,138,138,138,137,136,134,133,133,112,116,121,126,125,150,85,88,142,157,148,43,128,147,145,114,52,121,149,142,141,140,141,140,139,137,137,137,113,119,122,127,128,147,114,63,145,160,106,55,142,141,134,60,76,153,145,145,144,143,143,143,141,140,139,139,115,119,124,128,129,141,138,55,139,148,61,73,151,128,121,47,116,156,146,146,146,146,145,144,143,144,143,141,116,121,126,130,134,136,159,82,108,147,70,75,141,118,104,56,136,154,149,151,151,149,146,145,145,144,145,144,118,123,128,132,136,135,159,119,71,141,83,65,98,105,74,70,155,152,148,133,138,150,153,147,146,146,146,146,119,124,129,132,137,139,151,153,95,83,84,65,74,96,56,87,159,141,141,144,135,126,126,152,149,149,147,146,121,126,132,136,140,143,143,153,138,88,74,80,74,80,55,79,122,136,125,126,138,140,98,125,157,150,150,148,122,127,133,137,139,143,146,145,162,140,93,76,61,61,52,76,88,97,78,65,104,117,124,83,127,155,150,151,122,127,131,136,140,144,149,146,176,176,113,73,58,52,49,68,76,54,83,137,161,151,128,123,86,152,153,152,124,129,135,138,143,144,150,148,163,192,129,72,54,52,51,62,59,82,163,162,159,151,140,96,113,161,153,155,125,130,136,140,143,145,150,150,155,193,128,76,56,51,47,63,45,111,175,157,160,134,114,64,139,161,156,157,125,131,137,141,145,148,152,151,151,178,121,79,59,47,46,65,66,78,131,166,152,129,91,58,141,162,157,157,128,132,137,142,145,148,152,152,149,182,124,81,65,49,48,62,73,89,89,96,129,129,75,82,160,160,159,158,127,132,137,142,145,148,153,152,153,181,123,93,75,52,45,65,79,97,107,80,114,113,72,127,167,161,161,160,128,134,139,143,146,150,154,152,154,171,125,101,77,55,45,72,95,104,109,85,84,95,88,163,161,161,161,160,129,134,140,144,148,151,155,152,152,170,129,103,76,58,46,75,98,101,97,79,69,71,129,170,161,162,161,161,129,136,141,145,149,151,156,154,155,164,125,98,78,63,54,71,89,88,86,71,76,130,167,165,165,164,163,163,131,136,142,146,150,152,156,152,169,166,119,95,84,65,62,72,85,85,75,75,148,173,165,165,165,165,165,164,131,137,142,147,151,151,157,149,176,176,133,102,79,67,62,70,76,70,70,130,173,165,166,166,166,165,165,165,131,138,143,146,151,151,158,152,173,165,128,88,64,67,69,70,72,85,143,171,167,168,168,167,167,166,165,164,133,138,142,146,150,153,158,157,173,161,133,88,63,67,68,66,86,158,177,168,168,168,168,168,167,167,166,165
22,108,111,117,124,132,138,142,145,148,152,155,158,160,162,165,166,166,168,168,167,168,168,167,166,166,166,165,164,109,112,118,126,134,140,144,147,150,154,157,160,163,165,166,168,168,170,171,170,170,170,169,168,168,168,168,166,109,113,117,127,135,141,146,148,152,157,160,163,165,165,168,170,171,171,172,172,172,172,172,172,171,170,170,170,110,114,119,128,136,144,148,150,153,157,163,162,168,168,170,172,172,174,174,175,178,175,175,174,173,175,173,172,111,114,121,130,138,147,150,151,155,160,163,183,149,163,174,173,175,176,179,170,161,180,177,176,176,161,173,174,111,114,121,131,139,147,151,153,157,159,171,205,130,150,179,174,177,177,193,160,118,181,177,185,176,117,154,181,111,114,121,132,140,147,151,154,159,161,174,210,139,145,182,176,179,183,195,141,119,187,180,194,169,112,166,181,112,114,122,133,143,149,152,155,161,164,172,214,155,141,184,179,179,192,194,124,144,190,195,188,134,128,187,179,112,115,123,134,143,151,154,157,163,166,173,219,172,135,183,182,182,189,178,114,164,194,203,179,122,166,187,181,113,116,124,135,144,152,155,158,164,168,173,214,175,130,177,184,187,195,163,106,184,203,183,149,132,189,184,184,113,116,125,136,145,152,157,159,165,171,172,210,192,139,168,187,194,209,150,109,216,213,176,117,161,192,185,185,113,116,125,136,146,154,158,161,166,173,171,206,203,153,159,192,193,200,111,140,231,206,159,121,190,188,189,187,113,116,126,137,147,155,159,161,168,174,173,191,198,144,124,179,184,189,165,203,209,186,123,143,199,189,190,189,115,117,126,138,147,157,160,162,168,174,176,176,197,142,146,185,191,197,213,208,194,150,106,182,195,191,190,190,114,117,128,139,149,157,160,164,168,178,191,152,187,164,167,207,188,203,202,203,175,116,142,204,193,194,191,191,114,117,128,140,149,158,161,164,166,195,199,172,158,162,149,171,187,202,198,183,153,111,174,202,195,195,193,193,115,117,128,140,149,159,162,166,169,192,191,193,185,182,146,101,148,182,179,151,142,110,186,202,197,196,195,194,115,118,130,140,150,159,163,167,169,186,197,176,183,172,141,124,104,113,136,134,124,110,198,201,199,198,196,195,114,118,130,141,153,159,163,167,169,192,191,173,158,150,161,150,130,107,102,98,118,107,196,202,199,198,198,197,115,118,130,142,152,160,164,168,171,188,222,197,154,147,158,166,149,131,126,103,92,100,192,204,200,199,199,199,115,118,130,142,152,160,164,167,172,182,231,189,173,171,193,201,163,144,136,99,83,93,194,204,201,200,199,199,114,118,130,142,153,161,164,167,174,180,228,198,180,201,222,213,177,151,133,97,80,104,205,202,202,201,200,200,114,118,131,142,154,162,164,167,175,178,222,208,182,198,222,194,176,142,127,102,76,123,213,202,203,201,201,200,113,118,131,143,153,161,164,169,176,176,211,218,196,191,222,182,177,162,126,103,75,131,215,202,205,203,201,200,111,117,131,143,154,161,164,169,176,177,198,220,203,180,215,189,172,166,128,97,74,145,215,203,205,204,202,201,110,116,131,143,153,161,162,168,176,182,195,216,205,168,196,185,160,149,114,90,80,177,211,203,204,202,202,201,109,115,130,142,153,161,163,169,177,173,149,197,197,155,157,157,135,120,98,88,101,204,206,204,205,203,202,202,108,114,129,142,153,161,163,168,182,121,45,166,184,139,148,153,140,116,104,84,124,216,205,205,205,203,202,203
13,175,178,180,181,182,183,185,186,187,186,186,187,187,188,188,188,188,190,189,188,188,188,188,189,189,188,188,188,177,179,181,183,185,186,187,188,188,188,189,188,189,189,182,185,191,190,189,190,190,190,191,191,191,191,190,189,179,181,183,184,186,187,188,188,189,190,192,191,194,186,148,119,176,192,191,191,192,193,193,193,193,193,192,192,180,183,186,186,188,189,190,190,192,188,172,177,201,190,147,92,141,192,191,193,194,195,195,195,195,195,195,195,181,184,186,187,189,192,192,191,203,190,143,124,177,185,146,90,124,134,132,159,194,197,196,195,194,195,195,195,183,185,187,189,191,193,193,189,210,200,158,120,170,187,138,86,108,146,112,81,175,199,198,197,196,197,197,197,185,185,188,191,192,192,193,163,131,155,169,123,165,183,130,81,160,163,117,75,141,201,200,199,199,200,200,199,187,188,191,192,193,200,202,164,128,99,157,120,154,197,131,102,178,153,113,74,143,201,201,201,201,202,202,201,188,191,193,193,199,199,198,179,139,96,135,128,126,166,119,108,182,156,106,68,164,202,202,202,203,203,203,202,190,193,195,196,202,176,182,182,138,96,106,133,88,54,63,117,188,155,92,73,183,202,203,203,203,204,203,203,191,193,194,201,205,181,156,172,140,92,86,128,91,23,68,141,152,108,70,86,199,205,205,205,203,204,205,204,194,195,196,210,199,170,136,175,135,92,78,115,97,37,66,153,168,133,93,124,207,207,207,207,206,205,206,205,194,195,197,215,202,170,132,165,127,92,74,116,107,77,157,162,158,143,124,102,200,207,208,208,207,206,206,207,194,197,199,216,196,163,128,140,126,102,73,146,135,132,189,176,150,126,105,86,172,209,210,209,208,208,208,208,195,197,201,215,197,172,150,128,126,123,62,146,159,187,190,170,144,110,93,84,181,209,210,210,210,209,209,208,195,198,204,216,198,178,159,134,106,94,73,167,198,205,187,159,135,104,88,92,201,210,211,211,212,210,210,209,197,198,205,216,199,178,162,151,121,114,123,197,206,205,177,148,123,96,87,117,210,212,212,212,212,211,210,211,198,198,203,211,200,182,169,161,132,122,123,194,207,193,159,131,110,89,85,167,214,214,215,213,212,212,212,212,198,199,200,204,201,185,172,165,141,121,129,192,201,177,147,121,101,85,116,207,215,216,215,214,213,214,214,213,198,199,199,204,203,188,172,165,145,124,144,177,189,161,138,111,93,82,172,214,214,215,215,214,214,214,214,213,197,199,200,204,203,188,171,161,142,123,148,168,166,144,126,103,89,97,203,213,214,215,214,214,214,214,214,214,197,199,199,205,201,181,166,151,131,121,151,155,142,130,114,96,86,149,213,215,214,214,214,214,214,214,213,214,198,199,195,208,196,173,163,139,126,128,152,143,133,121,104,91,109,200,213,214,214,215,215,215,215,214,214,214,197,197,194,215,191,175,163,140,135,143,154,136,127,109,96,92,178,213,214,215,214,215,215,215,215,215,215,214,197,195,200,217,194,186,165,141,144,152,144,125,115,94,84,141,207,214,214,214,214,215,215,215,216,215,215,215,198,191,202,205,190,188,169,148,151,147,132,113,98,86,95,195,214,214,214,214,214,216,216,216,216,215,215,215,197,186,201,193,177,175,162,144,143,143,121,98,90,76,145,209,214,215,213,214,215,215,216,217,216,216,216,215,150,164,201,186,168,151,144,134,140,146,109,94,87,78,170,204,208,210,213,213,215,215,217,217,216,217,214,207
8,178,178,179,183,184,184,183,182,181,181,181,179,179,179,178,176,175,175,174,172,171,171,170,168,167,164,162,162,181,181,182,184,185,184,185,185,184,183,182,181,184,179,178,177,177,176,176,173,173,173,172,170,168,165,163,163,184,184,184,186,186,185,185,185,186,185,184,177,170,182,180,180,179,179,178,176,174,173,172,171,169,166,166,165,184,185,186,188,188,188,187,186,186,184,188,173,113,172,186,181,182,181,179,176,176,176,174,173,171,169,168,166,185,186,188,189,190,188,189,188,189,184,197,158,86,166,188,184,184,180,180,179,178,178,176,176,174,172,169,167,187,188,189,191,192,190,190,191,191,188,201,131,85,182,187,185,184,182,181,181,180,179,178,177,175,172,171,170,189,190,191,193,194,194,192,194,191,196,205,122,99,194,185,187,185,185,183,182,181,180,179,177,176,174,172,171,190,192,192,192,194,194,194,195,189,205,199,112,116,197,186,190,191,183,184,183,181,180,179,179,177,175,174,172,191,193,194,193,195,195,195,195,190,209,184,95,129,200,191,164,164,194,186,183,182,181,180,180,178,176,175,172,192,193,195,196,196,196,196,197,192,216,180,128,146,196,202,168,117,155,183,191,184,182,181,181,180,177,176,174,194,196,195,196,197,197,198,198,195,218,181,159,159,191,193,198,159,117,121,135,188,189,189,184,181,179,177,175,195,196,197,198,199,199,200,199,198,212,189,168,175,210,168,205,187,177,157,82,99,139,131,181,183,179,179,177,197,198,198,198,199,201,201,196,209,207,171,179,194,197,161,147,185,172,156,104,43,54,50,101,193,179,180,178,196,199,200,200,201,201,202,201,208,183,168,172,182,182,147,87,119,195,158,116,52,39,51,54,179,185,181,179,198,200,202,202,202,203,200,212,206,161,146,148,174,167,115,68,48,207,174,123,55,56,62,60,184,184,182,180,199,201,202,202,204,204,201,228,214,179,136,105,164,149,94,65,77,204,185,127,58,45,37,122,196,183,183,181,201,202,203,204,206,201,213,235,207,176,145,113,154,180,159,183,187,174,168,124,73,21,78,192,186,185,184,182,201,204,206,204,207,202,226,227,194,180,151,135,109,196,216,185,190,155,133,125,76,58,184,194,188,188,186,185,203,205,206,207,207,208,233,217,194,182,135,118,167,213,199,160,177,159,105,119,57,127,206,190,191,189,187,184,203,206,207,208,205,214,236,214,197,177,134,164,217,207,188,159,154,152,89,90,43,169,200,192,193,190,188,185,205,206,208,207,210,218,233,217,199,174,152,198,209,198,177,147,138,132,85,54,71,204,194,194,193,190,189,189,207,208,208,212,186,218,232,216,190,169,155,189,189,176,162,133,135,104,67,30,134,209,195,195,194,192,190,187,206,205,214,193,64,111,202,197,167,152,158,164,180,163,144,127,111,74,43,45,193,199,198,195,194,192,191,189,207,208,215,100,57,49,78,162,175,163,158,156,180,156,128,103,70,54,22,129,209,197,199,195,195,193,192,190,204,221,153,52,58,57,49,57,123,157,146,154,167,127,96,74,61,30,79,208,199,200,199,196,195,193,192,191,216,193,72,56,53,49,54,33,14,52,68,112,137,92,60,55,29,61,196,205,201,201,199,198,196,194,193,192,211,105,49,56,50,44,47,51,4,21,22,22,38,46,38,23,86,197,207,201,201,201,199,197,195,193,192,191,134,48,55,52,47,40,44,49,1,9,24,15,6,9,0,65,216,203,201,201,199,200,199,195,195,192,190,189
8,119,126,130,134,139,143,146,149,152,155,157,159,160,161,162,163,163,164,164,164,164,164,164,164,164,163,163,162,122,128,132,138,143,147,150,151,157,159,161,163,164,164,165,165,165,166,166,166,166,165,165,165,165,163,163,163,127,132,136,142,148,152,154,171,148,162,166,167,168,169,170,169,168,169,171,170,169,169,168,168,167,166,166,164,129,136,139,145,152,155,160,191,125,150,175,172,173,173,174,174,174,174,174,174,173,172,172,171,170,170,169,167,131,139,142,148,154,158,168,203,122,139,182,176,178,179,179,179,180,179,178,178,180,178,175,176,175,175,174,172,136,141,145,151,159,161,172,210,121,137,188,180,183,184,185,183,182,184,186,186,173,177,183,180,179,179,178,176,139,144,148,155,162,165,173,207,127,136,192,184,187,184,183,190,201,152,151,209,170,129,178,187,184,184,183,180,142,146,152,159,164,169,177,213,139,129,194,187,196,201,150,176,211,160,120,177,182,135,136,194,188,189,187,185,144,149,156,163,169,173,181,215,158,134,189,190,219,228,204,192,172,167,177,197,149,111,113,178,195,191,190,189,146,151,158,167,173,176,181,216,182,161,180,209,218,219,223,183,170,174,181,182,154,112,80,157,203,193,193,192,149,154,161,169,176,181,182,211,188,180,200,213,190,170,228,187,165,176,157,145,166,133,82,167,205,196,196,195,152,156,164,172,178,184,184,208,206,186,203,209,194,143,178,206,137,115,109,154,182,147,104,186,205,200,199,197,155,159,167,176,181,187,187,208,223,168,193,187,178,162,150,199,144,86,74,190,200,166,111,154,213,201,202,200,157,161,169,178,183,189,190,207,231,164,150,182,146,149,146,178,166,127,79,168,221,184,129,106,204,207,204,202,159,163,172,180,185,191,193,205,228,194,129,150,151,137,154,174,180,129,166,217,207,185,139,92,175,216,206,206,159,165,175,182,188,193,196,205,234,213,156,124,166,142,176,211,182,165,217,221,188,154,133,99,176,219,208,208,161,168,177,183,189,194,200,203,235,221,179,134,140,151,182,221,210,228,226,200,177,142,115,107,204,215,211,213,164,169,179,186,191,195,201,205,234,229,199,159,133,152,174,223,224,231,222,193,160,133,97,138,232,224,221,203,164,169,180,187,193,198,202,206,232,234,210,176,150,156,166,214,229,227,208,180,149,124,91,187,204,159,125,88,165,170,180,188,194,198,204,205,227,233,218,186,172,162,163,197,227,223,197,165,138,116,94,110,80,63,66,71,165,171,181,190,195,200,205,206,221,228,224,197,185,178,152,182,209,216,190,154,132,109,80,57,64,66,62,73,166,173,183,191,197,201,206,209,213,226,225,207,191,188,149,176,190,207,179,146,123,103,70,57,58,71,56,61,166,173,184,191,197,201,206,211,208,218,222,209,195,182,149,152,185,183,168,134,115,88,68,58,46,65,68,55,165,172,183,191,196,200,205,210,211,207,221,211,197,176,151,133,170,168,153,127,110,63,53,71,48,50,69,62,166,174,184,191,196,200,205,209,215,205,226,222,200,177,153,131,149,163,140,121,97,44,39,65,64,44,57,66,167,175,185,191,197,201,206,210,214,208,223,218,192,170,154,133,138,148,134,110,83,55,29,48,68,57,45,63,166,175,186,192,198,202,206,210,215,200,227,200,175,175,161,139,131,137,135,99,64,70,32,35,60,68,49,52,164,172,180,186,193,199,204,210,208,170,237,202,185,191,170,140,126,131,131,85,46,70,45,27,50,67,59,51
18,171,172,173,173,173,174,175,175,175,175,175,174,173,172,172,171,170,170,169,169,167,165,166,164,162,161,160,159,172,173,174,174,175,177,177,177,177,178,177,175,174,173,173,172,172,172,172,170,168,167,166,165,163,162,161,160,173,174,175,175,176,178,178,178,178,178,178,178,177,177,177,176,175,175,175,175,170,169,169,167,165,162,161,160,174,175,176,177,179,179,179,180,180,180,180,179,180,166,145,166,177,153,128,142,174,171,160,166,168,164,163,162,175,176,178,179,180,180,181,182,182,181,181,182,182,150,108,99,145,141,105,76,140,142,111,104,152,168,165,165,176,177,180,180,180,182,183,183,183,176,148,151,176,155,122,96,102,167,113,91,77,115,107,77,92,171,167,166,177,179,180,182,181,182,183,183,186,177,138,120,124,164,133,105,86,158,121,104,96,94,104,88,61,152,170,165,180,181,181,183,183,184,184,185,188,182,161,142,112,127,150,109,84,116,133,120,111,104,119,102,59,145,172,168,181,181,182,183,184,186,187,186,187,169,174,145,126,91,135,116,93,88,137,129,116,114,113,96,59,148,173,170,181,181,182,183,184,186,187,187,193,146,142,146,114,67,109,122,91,72,122,115,113,113,112,97,58,138,176,171,181,182,183,185,186,187,188,190,184,127,98,145,90,56,90,99,71,58,103,81,94,139,135,104,66,120,178,173,181,183,185,186,187,188,188,192,182,146,113,135,88,60,80,79,62,51,78,63,73,159,144,113,75,101,180,173,183,185,185,186,188,188,188,193,188,164,129,121,103,69,78,88,67,49,76,64,56,138,150,124,87,79,178,174,185,185,187,187,188,189,188,194,188,157,126,101,87,58,79,95,63,49,73,105,142,146,165,138,95,63,166,176,185,186,188,189,189,190,190,194,174,139,115,95,74,60,62,68,57,64,101,158,166,154,149,134,93,57,155,179,186,187,188,189,189,191,191,194,185,161,135,110,86,81,76,76,97,126,159,171,163,156,131,113,82,56,161,178,187,187,188,189,190,193,192,194,190,170,143,112,87,82,89,105,132,157,178,177,158,140,121,93,67,75,179,178,187,187,188,190,192,193,194,194,192,175,150,121,101,92,94,105,151,173,184,172,147,130,112,83,50,117,184,177,188,189,190,191,193,193,194,194,190,179,155,131,112,101,98,117,168,180,178,163,140,120,105,75,52,163,183,178,188,190,191,191,193,193,195,193,186,175,155,133,119,108,105,126,176,174,167,155,135,113,96,63,79,185,182,180,188,191,192,192,193,194,195,193,179,167,155,137,124,120,111,133,171,169,158,140,127,107,86,51,123,188,182,180,189,191,192,193,193,195,196,196,181,168,159,143,131,130,115,139,164,165,152,129,115,97,74,51,165,184,181,180,191,192,193,195,196,197,197,199,189,166,158,150,138,129,113,133,159,156,144,123,102,85,56,88,189,183,182,182,191,192,193,195,196,196,198,199,195,173,165,156,143,128,112,120,149,144,130,110,90,72,45,153,189,185,183,182,191,193,195,196,196,197,198,199,199,185,170,157,147,135,121,117,134,134,119,100,81,53,84,191,187,185,184,183,191,192,195,196,196,198,198,198,197,193,179,162,146,133,125,118,126,128,111,92,69,45,155,192,188,186,184,183,193,194,195,196,197,198,198,198,197,195,182,159,145,141,138,133,124,121,105,85,56,90,192,188,187,187,186,184,194,195,196,196,197,198,198,200,196,194,182,163,157,153,141,132,117,116,98,75,51,146,194,190,188,187,186,185
4,206,206,207,207,207,206,206,206,205,205,205,204,204,203,204,203,201,201,201,200,198,199,198,197,198,196,195,194,208,207,208,208,208,207,206,206,206,206,205,204,205,203,203,204,203,203,201,201,200,199,199,198,197,197,197,195,208,209,209,209,208,208,207,208,208,206,205,205,204,203,204,204,202,203,203,200,199,200,200,198,197,197,198,196,210,210,210,211,210,210,210,209,208,209,208,207,207,209,206,205,206,204,202,201,201,201,200,199,199,198,198,197,211,211,210,211,211,210,210,208,204,198,203,208,189,183,202,202,191,192,206,202,203,200,200,200,199,199,199,198,212,212,212,212,212,210,212,217,195,181,148,164,185,149,132,182,179,138,155,213,205,205,201,201,200,200,200,198,213,213,212,212,212,209,221,226,201,174,133,115,175,149,106,155,175,136,108,141,157,173,204,201,202,201,200,199,214,214,214,213,210,217,226,204,209,159,121,118,170,136,101,152,168,130,114,89,114,110,148,207,200,201,200,199,215,214,215,215,212,219,225,195,207,161,149,115,175,168,99,144,191,153,115,93,113,106,117,208,200,202,202,199,215,215,215,216,213,218,218,179,198,199,180,118,199,195,100,143,229,171,117,97,148,129,134,209,201,203,203,201,215,215,216,216,212,224,236,210,184,192,153,117,199,175,95,133,218,164,115,121,174,167,128,198,205,203,203,201,216,216,215,217,215,232,225,204,181,156,125,103,134,121,134,199,171,163,171,162,169,162,121,154,214,202,204,202,217,217,219,218,219,228,210,188,163,145,135,124,106,97,148,220,178,171,185,175,171,159,147,125,196,208,203,203,217,217,219,216,222,242,224,204,182,142,122,117,113,117,112,172,180,167,178,171,155,181,177,128,158,214,202,204,218,218,219,217,225,242,224,210,177,137,127,119,112,114,118,137,144,154,170,127,156,200,188,151,123,210,205,204,220,220,221,218,231,241,227,211,171,136,135,121,114,119,133,144,152,173,185,170,167,199,195,157,108,186,211,205,220,221,221,218,232,239,227,194,168,146,135,124,111,140,172,195,202,205,196,203,179,162,172,149,108,154,215,203,220,221,221,219,231,240,224,194,177,141,130,138,166,201,210,210,202,200,186,176,181,146,143,137,115,131,215,203,222,222,221,221,234,237,221,197,182,158,157,180,201,213,207,206,198,190,180,166,167,147,134,134,120,117,213,205,222,221,223,219,222,236,224,203,194,169,169,195,193,218,205,200,192,187,176,163,154,142,130,129,100,142,216,205,223,224,226,149,126,149,189,214,191,170,162,190,189,199,197,191,193,179,158,150,145,129,119,100,120,209,209,208,222,232,200,109,113,105,109,123,123,120,128,160,177,187,189,187,180,163,146,142,129,118,96,107,202,214,210,210,224,231,147,111,111,111,110,81,69,87,86,90,109,133,155,180,171,156,142,128,115,92,106,199,216,209,212,210,235,192,108,114,108,107,109,100,61,80,86,84,81,78,83,105,127,134,122,107,86,115,203,218,211,213,212,212,229,136,109,108,101,101,106,105,60,69,82,84,81,80,77,73,75,87,87,80,137,213,218,213,214,213,213,212,178,108,115,102,97,101,106,97,57,67,78,80,77,75,79,78,77,76,53,122,234,215,215,215,214,214,214,212,123,111,94,121,119,83,112,81,54,69,78,77,74,76,75,74,77,71,61,65,190,225,215,216,216,215,214,213,109,103,92,114,138,96,99,62,59,72,74,73,71,73,73,74,76,65,66,51,140,233,215,218,215,215,215,214
24,97,102,109,113,117,121,124,128,131,134,137,140,142,143,145,147,147,148,148,148,149,150,150,150,151,150,150,149,99,105,111,115,119,123,126,130,133,136,139,141,144,146,148,148,148,149,150,150,151,152,153,154,153,153,152,152,100,107,112,119,121,125,128,131,135,138,142,144,146,148,149,150,151,152,154,153,154,154,156,156,155,154,155,155,102,109,116,107,124,127,130,134,136,140,143,146,148,150,152,153,154,155,156,156,157,156,157,157,156,156,157,157,102,113,122,61,99,133,130,135,139,142,145,148,149,152,155,155,155,156,156,158,158,156,158,158,158,158,158,158,104,113,113,56,54,138,132,138,141,143,147,148,150,153,156,156,156,157,158,161,161,158,160,161,161,161,161,161,106,114,121,75,32,122,137,137,143,146,147,152,156,158,157,162,162,158,161,161,162,161,161,162,162,162,162,162,107,114,125,93,29,93,145,140,143,147,153,150,137,151,163,138,149,165,160,162,164,163,162,163,163,164,162,165,110,117,125,110,53,53,144,139,103,90,140,148,104,67,115,123,79,138,169,163,164,163,164,164,164,155,135,97,111,118,123,132,83,31,108,134,110,96,100,158,126,65,92,138,75,65,173,164,165,165,165,166,157,136,89,67,112,118,123,133,102,60,65,121,152,131,93,145,140,84,112,139,74,44,157,171,168,168,166,160,143,98,69,158,113,119,124,129,127,94,63,54,150,144,90,123,146,84,107,141,76,28,135,176,167,169,161,156,124,57,124,179,114,120,126,130,138,103,75,75,106,155,107,99,152,91,91,147,95,23,122,180,170,158,159,151,88,53,169,171,116,122,128,133,138,120,131,115,85,129,112,59,130,86,66,145,113,27,83,181,144,140,155,120,49,127,178,170,116,123,128,133,134,146,145,87,55,78,102,34,96,85,54,180,145,21,22,93,114,138,125,60,93,183,170,174,115,122,128,134,136,144,132,94,70,68,90,62,83,97,52,90,71,26,72,105,116,112,76,58,168,175,174,175,116,123,127,132,136,139,158,137,91,75,72,86,58,122,81,59,122,133,139,124,90,77,40,120,183,171,174,174,117,124,128,131,136,140,158,149,120,99,76,64,70,112,135,168,165,150,134,112,75,51,62,172,173,172,174,174,116,123,129,133,137,140,156,158,146,114,79,56,97,143,170,161,153,137,121,96,64,44,143,178,172,176,176,175,117,123,128,132,139,140,156,165,156,113,78,75,116,153,166,159,145,123,100,82,43,105,182,172,176,176,176,177,116,122,129,134,138,140,150,160,164,123,103,109,111,153,162,158,137,115,90,61,54,170,175,173,175,176,177,177,112,120,126,131,137,142,146,154,158,132,110,119,95,135,150,144,126,110,78,43,126,187,176,178,177,178,179,179,65,69,70,73,76,83,82,120,153,130,113,110,77,103,129,114,105,87,59,66,150,151,156,159,162,165,170,172,56,56,58,59,58,60,55,71,156,136,104,93,65,94,124,103,81,65,50,61,66,66,70,72,74,78,79,77,60,61,65,66,67,67,69,63,142,126,92,81,76,98,120,94,67,48,49,69,69,70,70,71,66,63,72,87,60,60,62,62,62,64,65,62,146,122,103,98,97,99,107,83,53,39,56,72,71,71,72,76,95,135,145,131,61,62,65,64,64,66,64,68,161,139,125,120,104,90,99,70,47,38,63,73,71,73,67,94,164,155,172,143,62,63,64,64,65,66,64,73,154,139,134,124,90,80,90,60,47,35,63,73,71,72,71,150,185,147,133,170
24,107,113,119,123,126,129,131,134,134,135,137,138,138,137,139,138,137,136,136,136,135,134,133,133,132,132,129,127,109,115,121,125,126,129,132,134,135,137,139,139,139,140,140,139,138,138,139,137,136,136,133,135,134,133,130,129,111,117,121,123,131,131,134,135,136,138,140,140,141,140,141,140,139,139,140,139,138,137,135,135,134,131,131,130,113,115,133,147,112,134,135,137,138,140,141,141,141,141,142,142,141,140,140,139,139,139,137,137,135,133,133,131,115,112,153,169,84,138,137,138,139,141,142,144,143,142,144,144,142,141,140,140,140,140,139,138,136,133,134,133,116,114,157,162,78,136,139,140,142,143,145,146,146,147,145,145,144,143,143,141,140,141,140,139,138,136,134,133,119,115,156,168,75,128,143,141,144,145,145,147,148,148,147,146,146,146,144,143,143,141,141,139,138,138,136,135,119,117,150,177,86,124,144,141,144,147,147,147,148,148,148,148,148,148,146,145,144,143,142,141,140,139,138,137,121,121,145,180,90,113,149,144,147,147,149,150,148,149,152,150,149,148,147,146,145,145,144,143,142,141,139,137,121,122,141,187,112,94,147,146,146,156,151,145,164,159,138,152,149,149,149,147,147,145,143,142,143,142,141,140,121,126,138,197,141,94,180,158,131,190,154,100,177,175,101,122,160,151,151,150,149,149,148,148,144,142,142,140,122,128,136,186,148,128,216,157,138,194,157,103,170,161,115,81,151,156,153,152,149,142,136,131,146,143,142,140,124,131,133,182,170,163,219,157,138,202,149,115,188,148,104,62,124,163,152,153,128,104,84,62,124,150,144,143,126,134,133,186,193,178,220,166,121,204,137,120,186,142,81,48,114,159,152,147,105,72,77,102,138,149,146,145,127,132,142,184,186,174,206,171,111,188,140,123,176,130,54,23,108,162,151,123,82,101,150,156,151,147,147,146,128,130,153,180,153,158,185,168,106,177,146,123,172,106,36,67,125,155,113,84,93,159,156,152,152,149,148,147,130,131,161,204,138,131,167,156,98,181,138,126,167,93,127,155,141,116,75,80,150,160,156,155,155,154,150,149,131,129,167,221,156,118,157,151,113,189,115,112,171,160,173,147,118,99,68,143,165,158,158,157,156,155,153,150,130,128,170,225,169,109,149,162,145,181,100,142,197,168,150,139,102,78,123,169,159,158,158,157,157,155,152,149,131,130,170,221,171,123,141,154,140,160,171,201,184,160,145,123,83,93,167,162,161,160,159,157,155,154,153,150,131,130,169,220,180,151,134,161,201,214,217,186,169,157,136,97,73,143,168,163,163,162,161,160,157,155,155,152,131,132,158,221,191,160,148,173,213,215,206,179,156,135,117,77,122,171,163,164,163,164,161,161,159,156,156,154,130,136,145,213,195,163,156,180,218,213,191,173,141,114,87,103,171,165,165,164,163,163,159,159,159,156,156,155,132,139,148,202,182,163,159,181,205,192,170,150,126,97,90,165,175,172,172,171,169,168,166,165,163,165,161,153,104,103,110,189,174,171,167,176,191,181,151,123,107,83,91,112,105,105,104,104,103,103,104,104,103,92,96,128,78,75,69,177,183,178,175,180,186,170,131,106,94,76,70,66,65,65,64,62,61,62,63,54,49,88,143,156,85,86,72,176,203,181,184,181,176,157,119,98,84,77,78,78,78,76,75,74,72,74,71,88,148,180,159,134,85,86,70,168,215,187,194,174,161,151,122,88,75,77,76,77,77,75,75,75,75,68,106,180,180,147,145,119
8,122,127,134,138,141,142,148,153,154,156,156,157,159,160,160,160,161,161,162,162,162,161,161,160,159,159,157,158,124,130,139,143,142,160,152,149,159,159,160,161,162,162,163,163,163,163,163,163,164,163,162,160,160,159,157,158,128,136,143,148,145,186,144,120,169,163,166,166,167,167,167,167,168,168,167,166,165,166,165,164,163,162,159,158,132,139,147,152,152,201,140,104,175,170,172,172,173,173,173,172,172,173,172,170,170,170,168,168,167,165,163,161,135,143,151,156,157,216,138,103,182,176,178,179,179,178,178,180,181,176,176,180,175,174,174,173,172,169,167,164,139,147,155,160,163,213,134,109,186,181,184,184,189,186,185,175,174,195,181,150,178,181,179,179,176,174,172,171,144,153,159,164,167,217,148,108,189,187,188,190,159,173,220,166,109,173,210,127,128,189,184,184,182,178,177,175,148,157,162,168,173,221,156,116,186,190,207,229,160,150,211,182,131,147,182,157,109,165,196,188,187,184,182,180,153,161,168,173,177,222,184,147,175,199,230,237,223,198,168,167,182,209,145,101,106,135,202,191,191,190,188,185,156,165,173,179,178,217,190,176,190,215,214,216,231,177,172,177,189,187,155,103,67,112,206,194,195,194,192,189,159,168,176,182,181,214,203,187,211,218,191,157,229,186,165,176,156,146,169,127,61,124,212,197,198,197,195,194,162,170,178,185,185,214,220,183,204,206,203,151,179,206,129,106,101,157,184,141,83,165,212,202,202,199,199,197,166,175,181,188,187,218,232,151,186,186,163,159,157,199,133,69,62,204,202,161,97,152,218,204,206,203,201,200,169,178,184,190,191,217,235,163,131,179,138,140,150,180,166,112,76,184,227,178,115,95,210,211,209,206,204,202,171,180,186,192,194,216,238,193,121,139,158,135,167,187,176,116,190,219,217,186,129,77,176,224,211,210,207,206,175,182,188,194,196,214,247,208,145,116,167,137,199,218,183,179,235,223,187,154,124,85,175,227,214,213,210,208,177,184,191,198,201,215,248,217,171,124,138,149,194,228,225,241,227,199,175,132,108,95,208,222,217,218,223,221,179,188,193,200,203,218,249,230,190,145,133,153,185,234,234,240,221,185,152,125,82,134,238,230,229,211,163,110,180,188,196,202,205,219,248,237,201,168,148,156,175,233,239,230,206,171,139,108,79,197,208,157,119,74,46,42,181,190,197,203,206,217,243,237,212,181,171,155,171,216,239,221,188,154,127,99,81,103,61,42,45,54,53,51,183,192,198,204,208,214,233,237,222,190,192,159,159,196,228,214,178,142,119,90,60,36,41,45,40,56,59,44,184,193,199,205,211,212,222,237,227,200,195,169,150,189,205,206,167,132,111,83,49,37,37,53,35,41,57,56,184,193,199,206,211,215,214,230,223,207,190,168,131,179,184,190,151,119,101,62,47,39,23,44,48,33,42,52,183,192,198,204,210,217,208,224,227,207,187,160,129,148,178,162,138,110,90,29,29,53,27,29,50,42,30,40,185,193,199,204,209,217,209,223,239,216,188,161,133,130,164,151,126,103,74,17,12,43,46,23,36,47,35,33,186,193,200,204,210,216,212,223,231,207,176,160,132,127,142,141,117,87,58,38,2,25,50,37,22,43,44,32,187,194,201,206,209,219,202,224,225,176,178,165,139,125,129,135,115,62,38,52,10,10,39,47,28,29,42,37,180,188,196,203,207,222,152,223,229,187,197,176,146,121,123,129,106,37,20,53,24,0,26,46,39,28,31,41
6,187,188,188,188,190,190,192,192,192,192,192,191,190,189,190,191,188,187,188,188,185,182,183,183,182,179,178,178,189,191,191,191,191,191,193,194,194,194,194,194,193,193,194,193,191,190,188,189,188,185,185,184,183,182,180,179,190,192,194,193,194,194,193,194,196,196,197,197,197,197,197,196,194,193,190,190,189,189,185,184,182,182,181,178,191,192,194,195,195,196,195,196,198,198,198,197,196,197,198,197,196,194,192,191,191,189,187,187,184,184,184,182,194,195,195,198,198,197,197,197,198,198,196,198,200,199,199,198,197,197,195,195,193,191,191,188,187,187,184,183,197,197,197,199,200,199,198,198,198,198,198,198,200,199,198,198,197,197,196,196,195,195,193,191,190,188,185,185,197,197,200,199,199,200,201,201,200,200,199,200,202,201,201,200,199,198,197,197,195,194,193,191,190,188,188,188,200,201,201,202,201,202,203,202,201,201,202,204,204,205,205,204,201,202,199,198,198,198,195,195,190,186,188,188,201,201,202,203,203,203,204,207,206,206,199,198,203,202,201,200,201,200,202,191,195,189,191,186,183,211,197,186,203,203,204,204,207,210,212,214,210,200,179,159,186,199,203,200,205,198,188,189,192,188,193,185,188,221,172,183,207,208,210,210,211,205,199,201,204,200,194,144,130,170,184,185,182,174,167,165,159,159,157,157,150,148,166,196,209,203,203,203,202,194,192,198,198,198,199,152,101,97,95,116,120,129,135,135,146,156,162,164,169,183,198,194,199,194,194,193,189,183,184,181,174,168,153,124,111,107,84,117,184,195,199,203,205,207,209,205,204,208,205,203,198,189,181,176,175,179,178,170,167,174,173,124,97,103,120,113,143,208,216,207,207,205,203,204,199,172,155,155,196,184,172,169,171,171,174,174,178,193,199,141,97,85,106,120,103,112,195,212,207,207,206,204,132,93,92,89,192,182,169,160,156,160,171,177,184,181,167,143,116,109,103,101,114,100,135,219,209,204,217,164,91,103,97,92,195,187,175,165,160,160,162,165,182,188,149,118,122,128,124,110,101,92,144,213,204,209,205,125,94,91,87,89,190,185,178,171,165,166,163,159,166,184,168,117,85,111,137,137,115,88,182,221,212,207,118,89,76,58,50,36,184,184,183,176,169,168,169,168,179,189,154,119,106,100,107,124,131,104,149,171,135,110,79,75,61,44,35,25,170,186,187,186,176,172,169,166,171,181,159,128,122,127,115,101,110,109,99,93,88,76,68,57,49,39,29,29,87,168,193,183,179,178,170,165,153,152,149,135,146,143,130,125,105,74,69,84,86,76,67,55,43,35,27,23,12,55,158,165,149,146,138,136,136,118,107,88,111,129,140,134,103,60,40,68,70,61,61,62,52,35,24,20,16,8,31,142,174,174,183,190,204,202,98,82,84,109,124,99,96,66,38,41,62,57,52,60,61,39,26,18,4,0,70,186,191,191,194,195,195,200,178,150,139,127,90,60,97,62,32,25,42,51,46,51,62,49,27,18,0,0,88,103,98,100,103,104,106,109,115,116,129,122,66,50,93,61,24,25,34,40,41,46,58,53,29,20,0,0,79,102,97,96,96,97,98,96,92,106,119,107,55,44,83,53,23,24,32,33,35,39,48,51,33,19,0,0,97,108,104,106,105,101,101,104,112,103,79,72,58,37,75,46,24,13,27,30,31,35,41,48,40,23,0,8,113,105,106,105,107,106,106,101,89,74,71,57,54,38,66,43,24,17,19,22,26,30,38,45,41,25
19,134,135,135,137,138,139,138,139,139,139,139,138,138,138,137,137,136,134,134,134,134,133,132,132,132,131,129,128,134,135,137,138,138,140,140,140,141,141,140,140,139,139,138,138,137,135,134,135,135,134,133,133,133,133,132,131,135,137,138,138,140,140,141,141,141,141,141,141,140,140,140,138,137,137,137,136,136,135,134,134,135,133,133,133,137,138,139,139,141,141,142,142,142,141,142,141,140,141,141,139,139,138,138,137,137,137,136,135,135,133,134,134,138,139,140,140,142,143,144,144,144,144,145,143,142,142,141,141,139,139,139,138,138,138,137,136,135,134,134,133,138,139,140,141,143,144,145,145,144,145,145,144,145,143,141,141,140,140,140,140,140,139,137,137,136,136,135,134,139,140,142,144,144,145,146,146,146,146,146,145,145,143,143,144,142,141,141,140,140,140,138,138,137,135,136,136,140,143,144,145,145,146,147,146,147,146,146,145,145,144,144,145,146,144,144,142,141,141,140,140,138,139,137,136,142,144,145,146,147,147,148,148,149,148,147,145,145,145,142,129,131,142,138,138,139,139,136,136,141,121,134,137,142,144,145,146,147,147,147,147,148,145,145,148,146,149,147,132,137,148,137,135,142,137,137,136,128,75,126,141,142,145,145,146,149,150,149,151,154,133,124,130,138,141,135,132,138,139,131,137,150,140,122,103,84,103,139,139,144,146,146,147,149,150,148,148,133,125,131,133,132,135,132,121,96,98,96,98,119,108,103,108,127,143,141,140,145,146,146,148,150,146,152,155,140,143,148,142,130,124,104,100,88,68,68,105,136,136,145,147,145,142,141,141,146,147,148,149,150,142,173,177,161,151,148,142,136,120,86,63,78,68,65,135,152,146,145,143,143,143,142,141,147,147,148,150,152,144,177,173,147,126,109,111,113,107,86,69,77,69,77,146,147,145,145,145,144,145,144,142,148,148,149,150,154,144,164,163,131,100,90,64,69,114,92,74,79,70,85,150,148,146,146,145,145,145,144,144,148,149,151,151,154,141,157,160,126,88,66,48,90,122,93,77,81,69,102,155,147,149,148,147,146,144,144,144,149,150,152,152,156,139,158,162,133,108,74,57,92,89,79,79,77,76,92,154,149,149,149,148,146,145,145,144,149,151,151,151,156,137,157,163,137,110,91,72,47,40,42,53,65,74,74,148,152,149,149,149,148,146,145,145,150,152,151,153,158,133,155,163,137,113,90,85,73,54,48,55,67,71,71,139,154,151,150,149,149,147,146,146,151,152,152,153,158,137,149,160,135,112,91,84,85,71,66,70,74,77,74,139,155,151,151,150,150,149,148,148,150,152,152,153,159,139,147,158,132,110,94,86,86,72,69,73,78,81,81,146,153,151,151,150,150,151,150,149,150,153,153,154,160,144,147,155,130,108,93,85,85,75,72,76,81,80,96,156,152,152,152,152,151,151,151,149,151,153,154,155,159,144,154,153,125,105,93,84,84,82,79,82,89,80,126,159,153,153,153,152,152,150,150,148,152,152,154,156,158,143,159,156,129,108,96,85,83,88,86,89,85,101,155,157,156,155,154,153,152,151,151,150,152,153,155,157,157,141,162,153,135,117,98,86,84,90,89,88,109,149,158,156,156,156,155,155,153,152,151,151,151,152,153,156,153,145,159,144,127,117,98,86,88,88,83,118,159,157,155,156,155,154,153,153,153,152,151,150,151,151,153,156,150,158,158,146,124,109,99,87,87,82,84,142,157,154,155,155,155,153,152,152,152,150,150,149
4,157,164,171,173,176,182,184,187,190,191,194,197,199,202,204,206,206,206,208,212,211,212,214,215,215,215,215,216,158,164,171,174,177,180,184,188,190,192,193,197,200,204,203,203,208,211,210,209,215,213,215,216,216,216,216,217,160,166,171,175,180,183,186,188,190,194,195,199,197,204,208,208,204,196,209,214,211,218,217,217,218,218,217,217,161,168,172,176,181,184,188,190,192,193,191,205,217,196,188,231,208,152,131,190,173,164,218,219,218,219,220,220,162,169,173,177,181,185,190,189,192,214,189,177,207,204,141,192,198,147,95,135,166,116,161,229,217,221,221,221,161,168,173,177,182,187,191,185,216,245,218,183,142,152,133,160,195,134,89,167,168,120,110,227,223,223,224,223,162,170,175,178,183,188,189,190,241,207,220,174,133,101,108,174,214,128,142,190,143,95,93,219,224,222,225,224,165,170,175,179,183,189,184,205,229,174,214,143,107,105,101,142,184,178,202,176,149,83,110,226,223,224,225,226,165,171,176,180,186,190,183,223,223,185,202,145,101,123,141,145,180,200,177,185,178,136,134,237,223,227,228,228,162,171,177,182,185,190,188,238,213,192,184,161,82,147,212,185,183,176,157,209,192,177,148,215,230,226,230,230,164,172,178,182,186,188,200,234,185,159,145,123,73,99,172,162,161,124,135,219,210,202,165,144,228,230,230,230,164,172,179,182,189,183,221,234,188,161,140,109,85,76,89,106,107,121,169,197,213,205,185,136,163,239,229,232,165,173,179,184,190,187,245,227,193,175,149,124,100,89,90,100,152,222,215,199,194,175,174,161,117,210,237,231,166,175,179,185,186,197,255,225,207,180,143,123,107,99,145,205,236,234,210,194,177,150,150,153,115,194,242,231,168,175,180,186,182,218,255,230,205,171,147,141,113,146,220,237,235,232,207,185,164,138,128,131,125,226,235,233,169,175,182,187,183,235,255,229,196,172,167,150,141,206,223,226,232,221,199,174,153,131,123,109,182,243,232,234,169,174,180,188,182,242,255,222,202,196,185,161,187,214,222,226,220,208,185,161,143,126,111,133,233,232,236,237,169,176,181,190,184,247,255,230,217,208,188,178,208,217,226,221,202,190,168,149,135,121,105,205,242,232,238,239,171,177,183,188,183,238,255,239,226,208,187,175,200,216,214,207,188,175,157,138,129,104,154,244,234,235,239,239,171,178,183,188,184,225,255,237,226,208,182,165,189,202,200,191,174,163,146,129,115,115,224,240,236,236,238,239,172,179,184,190,189,212,252,225,207,195,175,173,188,200,198,184,162,150,134,120,102,200,243,237,239,240,239,240,173,179,185,191,190,209,242,206,199,190,181,189,181,188,189,175,156,140,127,99,170,243,236,238,239,241,240,240,173,178,183,193,189,207,237,203,209,199,207,204,176,173,181,164,142,134,106,136,237,234,238,239,240,241,241,241,174,179,185,191,192,218,237,220,212,208,203,192,170,157,170,154,134,124,103,213,238,236,240,240,241,242,241,242,175,181,186,186,224,242,211,205,220,212,193,177,162,148,155,144,133,102,149,244,234,239,239,240,241,242,242,242,175,181,181,203,247,233,237,166,174,214,183,167,157,139,139,135,129,92,171,246,234,238,240,240,241,241,242,243,176,182,185,238,236,232,238,234,148,152,169,163,146,121,133,127,123,93,178,247,235,239,241,242,242,243,243,244,178,175,217,246,226,236,235,234,236,139,126,153,135,119,128,121,118,90,185,246,237,240,240,242,243,244,245,245
4,138,142,145,148,151,153,155,157,158,161,162,163,164,165,166,166,167,166,165,166,165,164,164,163,163,163,163,162,140,143,146,149,151,154,156,158,159,162,164,165,165,168,167,167,168,171,169,166,167,167,166,165,164,164,164,163,141,145,148,151,153,156,157,159,161,163,164,164,164,167,170,175,155,135,160,171,169,168,167,167,166,166,165,164,141,145,148,152,153,156,158,161,164,167,165,172,159,132,161,196,160,113,110,181,170,169,169,168,168,168,167,165,142,146,150,153,156,158,159,162,163,160,174,204,172,132,121,197,162,122,96,158,156,170,171,169,168,168,168,166,144,147,151,154,157,158,160,161,171,170,160,192,183,144,107,184,167,119,67,105,128,118,172,172,170,169,169,168,145,149,151,155,158,160,160,168,198,195,146,132,193,158,105,169,170,115,60,107,137,91,117,179,170,171,170,169,144,149,152,154,158,163,160,178,194,186,136,113,183,145,93,141,150,99,60,114,138,99,80,176,172,172,171,170,145,149,152,157,158,161,161,178,179,178,134,103,165,132,88,107,130,93,71,142,144,96,78,176,174,171,170,171,147,150,154,157,159,163,161,178,173,159,143,112,148,128,90,74,113,73,98,171,132,80,84,180,174,171,171,172,147,151,155,158,161,165,162,180,190,161,148,128,126,160,117,94,111,80,102,140,109,62,87,183,174,175,173,172,148,152,156,159,161,164,163,183,200,176,141,91,98,158,133,152,130,135,140,152,141,87,92,186,174,176,174,173,149,152,156,159,161,165,163,191,196,160,130,99,81,83,99,152,132,155,168,177,161,99,101,186,175,177,175,175,148,152,156,160,163,165,164,196,183,141,115,95,80,76,75,109,135,145,155,158,141,102,87,177,178,178,175,175,149,154,157,160,163,166,167,200,186,153,126,96,84,85,97,100,109,121,124,130,133,116,74,154,184,176,176,175,149,154,157,161,163,165,172,202,184,151,116,98,90,85,97,121,108,136,147,145,147,127,81,117,190,175,178,176,151,155,159,162,164,166,175,201,181,145,113,95,94,86,103,126,131,178,175,180,172,137,97,76,176,181,179,178,152,156,159,163,167,166,176,199,178,146,121,106,99,96,105,120,164,187,190,184,183,147,105,64,149,188,178,179,151,157,159,161,166,166,177,193,174,149,126,116,106,102,101,149,192,190,192,168,164,134,101,66,154,187,178,180,150,155,158,160,164,166,175,190,172,153,128,110,99,106,124,187,198,193,177,158,137,115,80,91,182,179,179,179,150,154,159,160,165,166,172,192,181,148,117,111,105,119,152,200,195,183,158,140,115,92,64,148,187,178,178,179,151,155,158,162,165,169,170,189,182,156,140,138,114,124,170,198,186,169,145,123,102,69,99,188,179,181,179,180,152,155,159,162,166,169,169,186,184,163,143,144,117,114,183,187,172,150,130,107,86,63,160,187,181,181,180,180,151,156,159,162,165,170,166,187,190,167,149,144,116,119,180,173,152,132,108,91,61,105,191,181,182,182,180,180,152,156,160,162,165,169,164,199,195,172,148,134,102,120,166,157,131,110,89,74,61,168,186,181,181,182,181,180,151,157,160,162,168,162,181,204,187,160,140,111,94,128,146,121,94,84,74,54,132,189,180,182,181,181,180,180,149,154,158,161,163,162,200,198,185,169,141,115,112,131,121,89,79,80,62,114,187,181,182,182,181,182,181,182,115,118,118,119,110,155,204,189,185,167,136,124,121,121,107,83,84,83,68,111,121,120,121,119,120,121,122,124
1,136,136,137,137,137,138,138,137,139,138,137,138,137,137,136,134,134,136,133,131,130,129,128,127,126,125,123,121,140,140,139,140,140,141,141,141,141,141,140,140,140,139,139,140,137,126,135,134,134,133,132,129,129,128,125,124,144,143,143,143,144,144,144,144,145,144,143,144,143,142,140,134,147,93,117,148,135,136,134,133,132,129,128,127,147,147,146,146,147,147,147,147,147,147,147,147,146,145,151,99,130,99,84,124,140,138,136,135,134,132,131,130,150,148,149,149,150,151,150,150,150,150,150,150,149,149,152,86,126,94,47,71,122,145,139,138,136,135,134,131,152,152,152,152,152,152,152,153,152,152,153,153,154,156,142,78,135,77,70,92,96,151,139,140,140,138,135,134,154,155,155,155,154,154,156,156,154,153,155,150,126,155,131,82,148,79,89,103,83,153,142,143,141,140,138,136,158,157,157,158,159,158,159,158,158,157,157,151,90,137,130,96,143,68,99,110,84,154,145,146,144,142,141,139,159,160,159,160,161,159,159,159,160,159,159,148,83,139,105,112,131,65,122,116,85,155,147,148,146,144,144,141,162,162,162,161,162,162,161,160,161,160,165,136,83,144,92,127,131,78,142,105,84,158,148,149,148,146,146,143,164,164,164,164,165,165,164,164,164,163,166,127,79,154,95,129,135,77,138,103,89,161,150,151,151,149,147,145,165,165,165,166,165,166,167,166,165,166,168,109,81,159,83,117,122,63,141,111,97,163,153,153,152,151,149,147,167,167,167,167,167,167,167,168,167,167,169,108,83,147,64,113,109,64,149,103,96,166,155,154,154,153,151,149,168,168,169,168,168,170,169,169,169,170,163,96,89,133,101,128,128,89,106,91,99,168,157,157,155,153,152,151,170,170,171,171,170,170,171,170,170,170,149,121,124,102,113,115,117,113,94,79,79,162,160,159,159,156,155,153,171,171,172,172,171,171,172,172,171,169,156,132,101,87,92,111,123,103,95,110,71,142,167,160,160,157,155,154,172,172,173,173,172,172,173,173,172,172,153,110,81,87,92,123,128,106,140,139,81,114,173,160,160,158,157,155,173,173,173,173,174,173,175,175,173,167,151,107,77,96,102,130,138,149,116,140,113,93,171,162,163,160,159,157,173,174,175,175,175,175,176,176,174,162,156,119,74,87,117,136,144,157,129,125,113,69,160,166,164,162,160,159,176,175,176,177,176,177,176,177,173,158,161,130,88,78,117,140,146,145,130,114,79,53,162,167,165,163,162,159,177,177,177,177,177,178,178,179,175,153,159,133,99,77,110,154,159,155,125,100,60,83,177,165,166,165,163,161,177,178,178,178,178,178,178,180,177,151,146,133,106,87,120,165,157,146,113,87,47,137,177,166,166,165,164,162,177,177,178,178,178,179,179,180,180,157,147,133,114,98,131,161,148,129,100,66,64,175,170,169,167,166,166,163,175,177,178,177,178,178,178,178,181,164,144,141,126,101,130,151,138,111,84,43,112,182,169,169,167,166,165,164,176,177,178,178,178,178,179,178,181,170,145,144,129,106,120,130,112,89,54,51,168,172,170,168,166,165,164,161,177,177,178,178,178,179,179,178,182,169,149,144,127,110,112,115,91,63,36,139,179,170,171,169,166,166,163,162,177,177,178,179,178,178,179,179,182,159,154,145,138,123,105,99,71,37,129,185,171,173,171,170,168,168,170,161,176,177,178,179,178,178,180,181,175,147,160,149,145,121,100,79,42,74,185,173,175,173,171,170,169,156,130,83
22,133,137,140,143,146,149,152,156,158,161,165,164,165,167,167,169,170,171,168,169,170,170,172,172,172,171,171,171,136,140,143,146,149,152,157,159,161,164,166,167,168,170,171,172,172,172,173,173,173,173,175,175,174,175,174,174,139,144,146,149,152,155,159,162,165,167,169,169,139,170,175,175,172,141,175,175,170,176,178,179,178,178,178,176,141,145,149,152,155,158,161,166,168,170,174,160,105,162,179,181,177,103,170,180,149,143,182,181,181,181,181,181,143,147,151,154,157,161,164,168,171,173,180,155,91,164,180,190,174,105,173,188,148,113,185,184,184,183,183,184,146,149,153,157,160,164,167,171,173,176,184,153,88,165,182,197,172,112,178,190,145,108,186,186,186,187,187,187,148,152,156,159,162,166,170,173,177,178,187,162,92,165,185,197,161,115,182,195,153,113,188,189,189,188,189,189,150,154,158,162,165,169,172,176,180,181,189,173,95,160,187,196,147,113,185,192,152,119,191,192,192,191,191,190,153,157,160,164,168,171,175,179,182,184,194,177,97,157,188,186,136,113,190,192,152,120,194,194,194,194,194,194,154,159,162,166,170,173,177,180,184,186,196,187,108,150,191,165,132,112,195,193,153,126,197,195,195,195,196,196,155,160,164,167,170,174,178,181,186,188,194,203,144,131,136,147,139,116,199,197,147,135,198,196,197,198,197,198,157,162,165,169,173,176,180,183,187,190,193,195,169,142,126,124,136,128,201,192,138,148,200,199,199,200,201,200,159,163,167,171,173,178,181,186,189,190,201,213,187,175,173,154,116,136,194,184,128,163,202,201,201,201,202,201,161,165,169,172,176,179,183,187,190,192,201,181,186,145,182,170,123,98,158,154,113,178,203,203,202,203,203,203,162,167,171,174,178,181,185,189,192,195,193,160,168,101,122,174,148,99,98,113,97,187,204,204,202,204,204,204,163,168,172,176,180,182,186,190,193,201,200,160,158,113,63,146,177,134,88,85,94,198,206,205,205,205,206,206,164,169,173,176,180,185,188,191,194,207,194,152,140,117,78,105,195,167,114,83,96,203,208,207,207,208,207,207,165,170,173,177,180,185,189,193,194,213,201,156,118,99,93,160,204,178,134,102,98,205,209,209,209,209,208,208,166,171,174,177,182,185,188,193,195,217,197,153,120,125,127,210,205,166,131,104,99,208,210,209,210,209,209,209,168,172,176,179,182,187,190,194,198,212,192,153,142,131,164,211,190,152,114,92,116,210,210,211,211,212,212,211,168,173,177,181,185,188,192,196,197,209,188,153,146,127,187,210,174,139,108,86,140,212,213,213,213,215,215,215,168,173,177,181,184,188,193,195,197,204,186,152,159,135,197,208,163,129,99,85,150,214,215,216,216,217,216,216,168,173,178,180,184,189,192,196,198,198,187,158,170,140,192,193,156,122,94,80,163,215,215,216,217,217,217,217,168,173,177,181,184,187,192,196,199,195,188,163,170,141,182,174,143,115,90,79,181,214,215,216,216,216,218,217,170,174,178,182,186,189,193,196,199,198,193,166,159,135,163,156,127,113,90,87,196,213,216,216,216,216,217,216,170,174,178,183,186,189,193,197,199,197,192,162,139,125,154,135,125,113,91,122,209,215,215,216,217,217,217,216,169,174,178,182,186,190,193,196,197,200,194,167,143,140,158,124,134,102,85,179,215,216,217,217,217,217,217,216,170,174,178,182,186,189,193,196,193,203,201,178,161,145,159,120,130,89,124,209,215,216,217,217,217,217,217,217
8,109,120,127,134,138,143,147,149,152,154,159,161,163,166,170,170,174,176,177,177,178,178,181,184,183,184,184,184,112,121,127,134,140,145,149,151,152,162,145,150,166,168,170,173,175,176,177,178,179,181,184,185,185,185,185,185,114,123,130,135,142,148,153,151,162,193,122,106,174,168,170,174,177,178,179,180,184,186,183,184,185,186,186,186,115,125,132,140,143,148,154,147,178,181,98,100,177,169,172,176,178,178,179,183,186,184,189,188,186,187,187,188,117,123,134,142,145,149,154,148,198,153,77,125,179,170,173,176,180,182,182,185,186,187,162,182,190,187,189,189,121,125,135,142,146,152,152,160,203,130,74,145,177,174,177,178,180,183,187,183,199,187,85,145,200,188,190,191,123,128,136,141,145,153,151,177,201,130,81,166,176,175,178,181,188,185,187,184,213,175,66,139,204,191,194,193,123,129,137,143,150,156,148,189,192,123,87,172,169,177,181,169,158,182,188,168,211,179,90,131,207,192,195,194,123,132,139,145,150,156,148,203,183,106,103,173,134,145,190,164,119,120,181,146,208,187,141,100,189,199,197,198,125,134,145,146,149,157,152,217,188,126,184,181,139,122,187,167,113,106,170,135,172,205,154,90,134,208,195,200,127,135,143,145,153,158,159,226,184,160,233,186,131,126,182,150,92,110,159,106,178,217,157,92,109,213,197,202,127,136,143,149,154,155,170,216,169,136,229,202,117,135,181,131,74,107,143,98,211,211,159,86,127,215,199,203,129,137,144,147,152,153,174,208,186,150,204,192,94,152,175,114,76,80,130,98,213,195,146,76,135,216,201,205,129,138,147,148,157,152,185,212,202,192,203,187,122,149,189,136,71,82,127,140,204,168,127,71,150,217,203,206,130,137,146,149,155,154,211,202,194,172,189,203,151,165,212,151,69,109,158,187,194,152,112,70,168,214,204,207,128,138,146,153,152,167,212,162,158,145,158,172,121,163,159,107,145,191,192,162,168,150,111,67,173,216,205,207,131,138,146,152,150,191,209,165,149,134,111,108,101,106,148,193,213,191,183,146,129,132,108,62,180,216,205,209,132,141,147,153,149,221,208,179,158,127,110,105,112,178,241,241,202,183,165,128,106,107,89,74,209,212,210,211,131,142,148,152,165,237,208,185,156,129,113,88,157,243,240,230,202,167,145,112,93,97,65,125,222,207,211,212,134,143,151,146,191,244,202,183,159,143,122,130,224,235,232,217,184,151,127,101,83,87,61,186,218,210,213,214,134,143,155,141,211,246,201,181,169,159,148,198,228,226,218,201,167,137,116,89,80,75,68,204,218,210,214,216,135,143,154,143,228,242,204,193,185,175,197,223,234,211,192,181,151,124,105,83,79,66,92,218,213,213,215,216,137,144,154,145,238,244,207,194,179,183,220,233,227,193,175,164,138,115,93,79,77,56,157,222,213,217,217,215,138,146,156,146,227,248,216,197,181,184,216,224,200,178,162,150,126,101,85,77,60,112,216,212,215,216,217,218,135,144,155,147,218,248,220,205,184,180,201,204,191,176,151,143,118,93,81,65,94,209,214,215,215,217,217,218,136,146,155,149,202,234,199,193,179,180,189,199,196,179,155,141,116,88,65,67,190,218,213,215,215,218,218,219,137,146,156,151,190,213,199,190,193,194,176,185,187,167,145,131,105,72,48,155,217,211,214,215,216,217,218,219,138,147,156,153,186,220,213,203,207,197,172,173,182,163,135,119,94,48,97,212,210,214,215,217,218,219,219,219
15,180,159,168,132,120,181,67,55,99,96,97,100,104,107,120,134,145,154,159,163,170,175,180,183,187,189,192,195,178,163,174,124,135,180,56,65,100,96,98,102,105,108,122,136,148,158,161,166,173,178,183,186,190,192,195,198,177,165,176,117,149,172,47,75,101,97,101,104,105,109,124,137,151,160,163,167,174,181,186,190,192,195,198,200,176,168,176,111,164,161,38,81,99,96,97,99,102,109,127,142,153,162,165,169,177,185,188,192,196,199,202,204,172,169,174,107,178,146,42,96,106,108,117,126,129,114,125,138,154,166,169,173,181,187,197,201,199,201,206,208,171,180,169,135,160,147,131,135,132,139,143,137,127,123,122,123,129,138,147,154,151,143,150,180,208,210,208,211,177,185,152,140,144,137,134,121,122,123,119,116,116,129,131,129,129,126,126,139,143,133,121,106,135,193,221,217,180,166,131,129,124,124,119,113,117,118,119,117,121,134,135,131,125,121,124,138,141,138,132,116,99,100,154,212,180,182,145,120,135,108,105,108,113,117,116,117,126,134,132,127,122,121,133,138,131,136,129,121,116,109,94,111,183,192,138,140,202,70,63,106,98,101,103,106,111,124,137,152,136,131,132,133,135,136,130,122,121,126,113,98,185,195,128,154,196,56,66,107,98,99,103,105,105,118,144,191,168,146,139,132,125,132,125,127,123,140,124,109,185,195,123,168,186,47,75,107,98,100,103,104,108,117,174,178,152,124,116,125,106,106,122,129,132,150,132,118,187,193,118,181,174,40,83,106,97,100,103,106,104,136,193,156,142,114,75,85,74,66,146,150,151,146,126,123,190,190,116,193,161,36,91,104,99,101,102,105,106,183,180,143,127,108,72,59,50,64,167,169,162,138,117,122,192,185,115,204,148,34,97,104,100,100,103,98,132,212,177,137,120,88,59,61,45,90,175,177,173,140,113,115,199,180,120,211,132,34,102,103,99,100,103,99,125,197,185,150,122,79,51,59,66,103,166,186,180,145,115,112,205,174,125,222,119,38,106,102,99,100,103,104,103,173,204,175,136,94,49,77,108,99,151,186,165,138,117,103,210,167,135,228,106,42,110,101,99,99,102,104,107,139,213,198,154,101,59,52,85,144,169,164,136,126,114,92,214,155,146,228,90,48,109,100,97,96,99,100,111,125,196,212,176,154,143,140,162,164,147,127,110,112,109,95,217,147,160,224,76,55,108,97,96,96,99,99,109,128,161,215,198,182,174,173,177,142,111,105,104,102,106,108,216,138,174,217,64,64,109,96,95,94,97,100,111,127,181,196,156,147,150,171,175,130,98,98,90,97,105,98,213,133,189,208,52,70,107,95,94,93,97,100,108,140,211,163,145,149,145,166,170,133,99,94,154,135,80,79,210,127,201,194,44,78,104,90,88,88,90,93,99,147,197,153,139,135,131,151,156,136,94,122,252,152,82,80,205,129,208,190,143,138,146,137,133,129,126,128,131,146,171,154,149,162,130,109,142,141,109,136,243,153,90,84,197,132,211,194,154,118,134,133,133,132,136,140,139,133,129,138,136,184,180,113,112,147,129,140,161,128,96,89,192,135,216,190,148,121,135,133,134,134,134,135,137,137,138,141,134,143,198,158,119,143,142,142,143,121,86,85,184,143,220,186,147,127,135,135,137,137,136,139,140,140,142,142,141,139,152,159,138,145,144,143,147,122,82,60,174,151,219,185,147,129,136,134,136,137,137,139,139,140,142,142,142,143,142,141,143,143,144,143,145,121,92,73
12,126,127,129,131,132,132,133,136,136,137,137,136,135,135,135,134,133,134,133,132,132,131,131,130,130,128,128,129,128,128,131,132,133,134,135,137,138,138,138,138,137,137,137,136,136,134,135,134,134,133,132,131,130,129,129,129,129,130,132,133,135,136,137,138,139,138,139,139,138,139,138,138,138,136,136,135,134,134,133,133,132,132,131,130,131,131,132,134,137,137,138,139,140,140,140,140,142,141,140,140,140,142,138,136,136,136,136,135,134,133,133,132,131,132,134,135,138,138,139,141,143,142,141,142,138,142,144,140,126,118,137,142,141,139,137,138,135,134,134,133,132,134,136,137,139,140,141,143,143,143,145,144,116,91,134,146,111,54,77,139,117,132,143,137,137,137,136,135,134,136,138,139,141,144,145,145,146,143,153,156,118,68,70,143,95,71,37,98,84,51,108,144,137,138,137,136,136,138,139,143,143,144,146,145,144,142,153,147,104,66,46,143,105,82,42,81,89,44,39,131,140,137,138,138,138,138,141,144,144,144,145,147,155,115,121,146,95,56,42,155,147,97,63,78,78,52,31,118,146,138,139,139,139,140,142,144,145,146,145,170,159,121,86,138,134,60,31,176,168,88,68,118,93,57,29,126,146,140,141,140,140,142,144,145,147,146,157,188,160,134,68,133,170,69,43,120,115,45,96,147,91,46,31,135,146,144,142,141,141,144,145,145,149,145,164,175,160,129,68,85,130,69,53,65,103,85,112,111,52,18,54,151,144,145,144,143,143,145,146,147,148,150,182,164,132,95,65,29,43,43,63,80,127,156,121,82,56,20,113,154,145,146,145,144,143,145,148,151,146,173,179,157,105,66,56,28,2,78,154,149,140,126,102,91,90,35,124,153,146,147,146,145,145,146,149,151,147,178,184,142,98,98,64,8,67,168,167,155,133,120,92,83,77,36,128,156,148,148,147,146,145,147,150,152,149,182,185,135,95,121,76,69,154,178,168,155,132,112,97,75,58,33,142,153,151,150,149,148,146,147,150,152,153,189,183,151,138,111,117,143,174,173,164,148,129,105,92,67,47,26,137,156,151,151,149,149,147,149,152,152,157,189,183,163,157,123,116,150,174,168,154,143,119,94,81,61,41,20,130,160,152,153,151,151,149,150,152,154,157,185,183,169,161,128,127,157,164,156,140,131,106,86,72,52,34,19,142,159,154,155,152,151,149,151,152,156,156,180,181,174,159,133,119,150,151,142,136,122,94,74,58,46,13,75,163,153,155,154,153,152,150,151,154,155,153,177,179,173,157,124,114,132,136,134,124,108,80,62,53,26,57,159,158,155,156,155,154,153,151,152,153,159,162,169,175,171,138,103,115,129,133,137,121,98,80,64,38,58,158,159,156,156,157,156,155,154,150,151,158,138,122,170,161,147,128,123,131,129,142,140,116,85,78,54,29,142,166,158,158,157,157,156,156,155,151,152,164,84,11,144,175,154,149,139,122,115,139,128,93,72,68,25,102,170,159,160,160,158,158,157,156,155,151,158,135,60,42,54,144,157,146,130,111,100,122,100,73,64,33,68,171,162,162,161,161,160,159,158,157,157,150,164,93,45,65,19,40,71,65,60,57,61,80,69,57,40,34,157,167,162,162,162,162,161,161,159,158,158,154,147,62,49,59,35,0,25,20,16,7,4,4,12,19,2,29,150,166,163,162,162,162,161,160,159,159,159,159,105,49,52,56,46,0,9,22,18,9,7,3,0,0,0,0,103,175,160,163,162,161,161,159,158,159,158
24,171,173,174,175,176,176,176,176,177,177,177,177,178,178,177,177,178,177,177,177,176,176,174,176,114,48,38,42,174,176,176,177,177,178,179,179,179,179,180,180,180,180,179,179,180,180,180,179,177,177,178,163,95,55,49,45,176,177,179,179,179,181,181,182,181,182,182,182,182,182,182,181,182,182,182,182,180,179,181,165,81,54,59,68,178,179,181,182,182,183,183,183,183,183,184,184,184,184,184,184,184,183,183,183,183,182,182,176,95,56,74,70,179,181,182,182,183,184,185,185,186,186,185,186,186,186,186,188,187,186,186,185,184,183,181,187,137,57,73,55,181,182,183,185,185,186,187,187,187,187,188,188,188,188,188,188,188,188,188,188,186,186,185,185,173,80,63,50,183,184,185,186,187,188,188,189,188,188,189,189,189,189,190,190,190,190,189,189,188,188,187,185,194,115,55,48,184,186,187,187,186,184,191,189,189,190,190,190,191,192,192,192,192,192,192,192,190,188,189,187,193,155,50,47,185,186,189,189,192,148,178,194,191,192,192,193,192,193,193,193,194,194,193,194,192,191,191,190,191,180,123,122,186,187,189,190,191,141,144,201,191,193,193,194,194,193,194,194,194,194,194,194,193,193,192,191,191,182,140,181,187,188,191,191,195,159,112,191,195,193,194,193,193,194,194,194,195,194,194,197,194,194,194,192,194,180,157,195,188,189,192,193,193,177,119,154,202,192,194,194,195,197,199,196,197,200,198,178,191,196,193,194,193,191,178,152,189,190,193,193,194,192,154,115,192,197,195,195,197,190,181,200,190,172,205,160,137,193,195,194,194,192,177,130,189,191,193,193,194,196,179,129,141,201,197,193,204,192,151,186,189,124,163,187,112,174,202,194,193,186,156,132,190,193,193,194,194,196,189,169,136,163,202,192,214,210,182,151,182,141,147,195,122,175,203,192,201,182,130,108,189,192,193,193,194,196,195,180,155,146,182,198,195,215,204,142,161,167,140,187,139,174,204,194,205,147,113,162,189,191,192,193,194,195,195,192,174,182,171,181,176,192,212,158,131,171,139,193,140,155,182,194,187,110,164,204,189,192,194,194,194,194,196,194,204,194,176,159,151,149,198,177,116,144,151,191,156,109,161,189,145,130,200,190,189,192,194,194,194,195,197,196,205,205,164,149,131,120,161,185,113,135,164,173,180,117,174,163,123,182,197,192,189,192,193,193,194,195,197,198,198,209,207,169,130,136,143,175,135,130,184,132,152,169,171,130,131,201,194,194,195,197,199,199,199,199,200,202,200,208,215,207,170,129,139,163,157,117,185,137,188,184,159,114,165,202,194,194,157,160,162,166,169,173,177,180,180,193,221,214,211,159,130,163,187,161,182,196,198,158,141,131,204,204,199,196,105,105,106,108,108,108,110,110,108,124,217,207,212,189,148,139,189,223,223,216,179,150,128,120,147,147,164,179,112,113,113,113,112,112,113,113,114,104,180,209,212,206,168,145,153,210,215,193,165,141,116,124,146,172,192,202,112,111,111,111,113,113,113,114,115,109,128,210,218,208,177,151,145,190,204,176,160,121,126,206,208,201,202,210,111,110,110,110,112,113,113,114,114,117,105,181,206,182,158,141,145,168,182,162,137,110,157,182,187,200,194,199,111,112,112,111,111,111,112,114,114,116,104,158,204,166,162,153,150,161,168,151,115,123,194,167,159,179,188,188,109,110,110,112,112,112,112,113,113,114,107,145,206,185,183,169,159,162,167,142,103,134,191,179,136,152,175,186
24,157,159,162,162,163,164,165,165,166,166,165,166,165,165,165,163,162,161,160,160,159,157,156,155,154,152,151,151,158,161,164,163,165,165,166,167,167,167,167,167,167,165,165,165,163,163,164,163,160,159,159,158,157,155,154,152,159,162,164,166,167,167,168,169,171,169,169,170,170,169,168,167,166,166,164,163,163,161,160,160,159,158,156,155,161,162,165,166,168,169,169,171,171,170,170,171,171,171,169,169,168,167,164,165,164,164,163,162,160,159,157,157,162,163,166,167,167,166,171,173,173,172,172,172,172,172,170,168,168,166,167,167,165,164,164,163,162,160,159,158,164,164,168,165,181,152,127,178,172,174,173,173,172,172,171,170,170,169,167,167,167,167,166,164,163,162,161,160,165,166,170,166,190,130,109,181,172,174,173,174,173,173,172,171,171,170,168,168,168,167,166,165,164,163,162,161,165,167,169,171,186,106,124,182,173,175,175,176,177,174,172,172,171,170,170,169,170,168,167,166,165,165,163,162,167,169,170,177,184,105,135,183,175,177,175,174,170,177,175,173,173,172,171,172,171,169,168,166,165,166,164,164,169,170,171,181,183,103,139,191,177,176,183,181,148,118,174,177,173,174,172,173,174,172,173,171,166,166,166,165,170,172,171,183,169,122,144,156,181,142,142,183,165,116,98,175,177,174,175,173,163,150,141,163,172,168,167,166,170,174,173,186,180,186,179,149,197,148,101,171,177,128,63,122,184,175,171,152,113,97,81,114,177,170,169,167,171,175,174,186,185,207,180,172,197,163,98,165,171,117,64,85,177,174,166,123,84,86,113,144,173,170,170,168,173,176,176,187,179,214,185,183,204,157,81,124,134,91,46,59,154,174,147,100,81,155,177,175,171,171,170,170,174,179,176,191,208,211,176,186,212,145,88,33,87,123,96,106,151,151,113,84,140,186,174,175,174,173,172,170,175,179,178,197,203,190,156,142,177,116,71,67,160,179,164,153,149,120,82,110,183,177,179,177,176,174,173,171,175,177,184,194,168,172,146,104,99,103,150,198,193,174,158,138,128,110,84,167,182,179,180,178,178,176,174,172,177,177,189,209,180,165,151,133,97,198,215,199,190,171,142,124,110,97,128,189,179,181,178,178,178,175,174,174,178,176,196,215,191,167,149,160,204,222,202,196,184,157,130,107,104,97,175,187,182,181,180,179,178,177,175,176,179,177,206,219,195,182,182,210,223,214,205,190,170,142,111,106,87,126,193,184,185,182,181,180,180,178,177,176,179,177,210,220,201,191,207,223,221,209,201,178,151,121,107,96,96,181,187,185,186,183,182,181,180,181,179,178,182,178,210,227,206,193,212,220,205,186,179,158,128,111,98,92,169,193,187,187,186,185,184,183,181,181,180,177,181,178,204,230,209,190,201,204,194,169,155,136,113,101,96,168,196,188,189,188,187,186,184,185,182,181,180,179,182,182,196,212,194,190,205,207,195,170,154,126,101,78,158,200,191,192,190,188,188,188,187,185,183,183,181,180,182,184,189,196,188,197,203,194,190,163,141,115,73,105,198,192,194,192,192,189,189,188,187,185,184,184,181,180,182,185,187,202,212,202,197,184,186,158,132,101,64,154,201,194,194,193,193,191,189,189,188,187,185,183,183,182,182,184,187,215,213,188,195,184,172,151,129,89,75,183,199,195,194,195,194,192,190,190,188,188,186,186,184,181,180,183,185,222,211,177,201,178,161,151,123,92,78,186,197,194,194,194,193,192,189,189,188,187,186,185,183,181
8,134,139,145,148,150,151,156,160,162,163,163,164,166,167,166,167,167,168,168,168,168,168,168,166,166,165,164,164,136,142,148,152,151,166,160,157,166,166,166,167,168,168,169,169,169,169,169,169,169,169,168,167,167,165,164,165,140,146,153,157,154,188,153,133,174,169,171,171,172,172,172,172,173,173,172,172,171,172,170,170,169,168,166,165,143,149,156,160,159,201,149,119,179,175,176,177,177,177,177,177,176,177,177,175,175,175,173,173,172,170,169,167,146,152,158,163,164,213,148,119,185,180,182,183,182,181,182,184,184,180,180,183,179,178,178,178,176,174,173,170,149,155,162,167,169,211,145,123,188,184,186,186,191,188,188,179,178,196,184,158,182,184,182,182,180,178,177,175,153,160,166,170,172,215,156,123,191,189,190,191,165,177,217,172,123,177,208,139,140,191,186,187,185,182,181,179,157,164,168,173,178,218,163,130,188,192,206,224,167,158,209,185,142,155,185,164,124,170,196,190,190,187,185,183,160,167,173,177,181,218,186,155,179,200,225,231,220,199,173,172,185,207,154,117,121,146,202,193,193,191,190,188,163,170,177,182,182,215,192,180,192,213,211,213,226,181,176,181,190,189,162,119,88,126,205,195,196,195,193,191,166,173,180,185,184,212,202,189,209,216,192,164,225,188,170,180,163,155,174,139,83,136,210,197,199,197,196,195,168,175,182,187,187,212,217,186,203,205,202,159,183,205,140,121,117,164,187,150,102,171,210,202,202,200,199,198,172,179,184,190,189,215,227,159,188,188,169,166,164,200,144,90,84,204,202,167,114,160,215,204,205,203,201,200,174,182,187,192,193,214,229,169,142,182,148,150,158,183,172,126,96,186,223,182,128,112,209,209,208,205,204,202,175,183,189,193,195,213,232,194,134,149,164,145,172,189,180,129,192,216,214,188,140,97,180,220,210,208,206,205,179,185,190,195,197,212,240,207,154,130,173,147,199,215,186,182,230,219,189,162,136,104,179,223,212,211,209,207,181,187,192,198,201,213,241,215,176,136,148,157,195,223,221,235,223,199,179,143,123,112,207,218,214,216,220,218,182,190,194,200,203,215,241,225,192,154,144,160,188,229,229,234,218,187,160,137,101,145,232,225,224,209,169,125,183,190,197,202,204,216,241,231,201,173,156,163,179,227,233,225,205,176,149,123,98,197,207,164,132,94,71,68,184,192,198,202,205,215,236,231,210,184,175,162,175,213,233,218,190,161,139,115,100,118,83,68,70,77,77,74,186,194,199,203,207,212,228,231,218,192,194,166,165,197,223,212,181,151,132,108,83,63,66,70,66,79,81,69,186,194,199,204,209,210,219,231,223,200,196,174,158,191,205,205,173,143,125,102,73,63,63,76,61,66,80,79,187,194,199,205,210,213,212,226,219,206,192,174,142,183,187,191,159,132,117,84,71,65,51,69,73,60,67,76,186,193,199,203,208,214,206,220,222,206,189,166,140,157,181,168,148,124,108,56,57,77,55,56,74,67,57,66,187,194,199,204,207,214,208,220,233,213,190,167,144,141,170,159,138,118,94,47,42,68,71,52,63,71,62,60,188,194,200,204,208,213,210,219,226,206,180,166,143,139,152,151,130,105,80,64,34,53,74,63,51,68,69,59,189,195,201,205,208,216,202,220,221,180,181,171,149,137,140,146,128,84,64,76,40,40,65,72,56,56,67,63,183,190,197,202,206,219,160,219,224,189,197,180,155,133,136,141,121,63,49,76,52,32,54,71,65,56,58,66
20,122,124,125,128,130,132,134,135,138,141,139,140,141,142,144,145,133,146,151,150,149,150,151,150,151,151,152,152,122,125,127,130,131,134,136,137,139,141,141,142,144,142,148,155,106,125,134,144,152,151,152,151,152,152,152,152,123,126,130,132,133,135,136,138,139,141,143,145,146,143,152,160,111,137,117,111,158,151,153,153,153,152,152,152,124,127,130,132,133,136,138,139,140,142,144,144,146,146,154,155,115,155,131,101,156,153,154,154,154,153,154,155,126,128,130,133,135,136,139,140,142,144,144,145,148,145,161,165,125,154,134,101,154,154,154,155,155,155,154,155,126,129,132,134,136,137,139,141,143,144,145,146,148,145,169,164,130,165,139,103,154,156,155,156,155,155,155,156,126,130,133,134,136,138,140,143,144,145,146,147,151,147,169,149,133,167,138,101,153,158,157,157,157,157,157,158,127,130,133,135,137,139,141,144,146,145,151,128,126,155,167,135,131,165,131,99,154,160,159,159,159,159,159,158,127,131,134,135,137,140,142,144,145,150,153,133,90,126,169,130,136,167,125,99,157,160,159,159,159,159,159,159,128,132,134,135,138,142,142,143,143,143,155,135,118,101,119,118,129,155,122,105,159,159,160,160,160,160,159,160,129,132,134,136,139,142,139,162,158,110,135,153,149,134,97,85,103,137,117,107,163,159,161,161,161,161,161,160,129,132,135,137,140,142,145,161,156,128,123,145,158,144,113,75,92,119,105,107,165,160,161,162,162,161,161,161,130,133,137,138,141,142,149,153,134,146,104,75,132,161,136,96,90,103,92,107,168,161,163,162,162,162,163,163,130,133,137,138,141,143,149,158,110,107,95,68,96,168,157,119,82,93,88,104,167,161,163,163,164,163,162,163,130,134,137,139,141,142,149,157,137,125,106,90,98,151,174,140,95,85,84,103,168,162,164,164,165,164,163,163,131,134,138,138,142,142,153,173,146,121,106,100,113,137,183,150,116,85,76,98,169,163,165,165,165,165,164,164,132,135,138,139,143,142,158,168,132,115,110,116,122,159,178,150,126,89,70,99,170,163,165,165,165,165,164,164,132,136,139,140,143,141,161,168,140,123,124,119,140,190,169,141,126,91,67,103,171,163,165,165,165,165,165,165,132,137,140,141,143,142,163,172,144,129,127,127,161,193,169,140,123,97,68,113,171,164,167,167,167,166,165,165,133,137,140,142,144,142,161,176,152,131,127,143,170,179,164,143,122,98,67,124,172,164,167,167,167,166,165,165,133,136,139,140,144,142,161,179,151,142,134,146,178,170,157,142,116,98,69,140,171,164,166,167,166,166,166,166,133,136,140,142,144,144,160,178,155,155,144,144,179,168,154,142,113,93,72,151,170,165,167,166,167,166,166,166,133,137,141,142,144,145,152,176,165,162,158,143,169,160,150,141,116,88,72,150,171,166,167,166,167,167,167,166,134,137,140,141,144,149,148,167,170,165,160,150,155,159,144,140,114,89,75,155,170,167,167,167,166,167,167,166,134,138,140,142,144,149,147,160,172,162,151,145,151,153,139,147,120,87,85,164,168,167,167,168,167,167,167,167,134,138,140,141,144,149,147,159,169,151,144,135,145,152,137,148,120,84,102,172,166,168,168,168,168,167,168,167,134,138,138,142,144,149,149,162,166,148,144,136,144,156,134,145,114,78,127,174,165,168,169,169,168,167,167,168,134,137,140,143,144,149,147,163,175,160,151,142,146,157,126,138,106,79,152,170,167,169,169,168,168,168,168,168
4,166,166,166,165,164,164,163,163,163,162,162,162,161,160,159,158,157,157,156,154,153,153,152,150,149,149,149,148,167,167,167,166,165,165,165,165,164,163,163,162,162,161,159,159,158,157,157,156,155,153,153,152,151,150,149,149,167,167,167,167,167,167,166,166,166,165,164,163,163,161,161,160,158,157,156,157,157,155,154,153,152,150,150,149,169,168,168,167,168,168,167,168,167,166,165,165,165,165,164,161,161,162,157,156,156,156,156,154,152,152,151,150,170,171,170,170,169,168,168,167,166,166,166,159,152,154,153,158,144,141,159,160,158,158,154,154,153,153,152,151,171,171,171,169,169,169,169,168,167,168,166,158,152,149,133,114,120,114,119,154,151,153,159,154,154,153,152,150,172,171,171,170,170,171,170,170,168,159,159,147,121,100,137,102,76,121,110,95,98,94,131,160,154,153,152,151,173,172,171,172,172,171,171,170,166,165,158,150,126,77,109,109,67,105,109,75,79,89,84,158,155,154,153,152,172,173,173,172,173,172,171,171,170,139,112,130,147,95,101,121,115,107,95,69,99,108,76,135,161,154,154,153,173,173,174,173,173,173,173,170,172,147,94,65,152,128,103,123,141,128,100,101,100,115,90,126,164,154,154,154,173,174,173,173,174,174,173,173,164,127,90,49,90,113,79,94,105,125,109,109,102,109,91,105,165,154,155,155,175,175,175,175,174,174,173,174,159,131,114,96,70,77,78,71,63,98,120,107,100,100,99,84,157,157,155,154,175,176,176,174,174,175,174,173,163,150,127,99,75,77,88,81,84,80,89,96,99,120,118,76,137,162,154,154,175,176,176,175,175,176,175,173,166,142,112,91,74,77,84,91,105,94,76,89,143,137,122,85,112,165,154,154,177,177,177,177,177,177,173,174,165,138,111,84,73,77,88,101,104,97,103,115,125,138,135,104,93,163,155,155,178,178,177,178,178,177,174,173,168,149,123,92,77,84,94,106,106,110,135,148,134,137,140,110,78,155,158,155,178,178,178,179,179,178,176,172,165,150,129,99,79,83,97,114,121,128,141,145,142,132,117,102,70,149,160,156,178,179,179,179,179,178,177,172,164,158,138,112,86,81,98,116,132,144,151,148,134,124,106,81,77,159,158,156,178,179,179,179,179,179,177,171,161,161,144,121,99,83,89,127,142,154,154,145,128,115,98,62,113,166,157,157,179,179,179,179,179,180,179,170,158,158,147,126,105,89,91,138,150,154,150,138,119,106,84,69,157,160,159,158,179,179,179,178,178,178,179,167,154,154,152,133,109,100,99,142,151,149,143,129,111,98,65,114,169,159,160,158,180,179,179,179,179,179,181,167,153,155,154,137,117,107,107,142,148,146,133,116,103,85,70,158,163,161,159,158,181,179,179,180,180,179,180,171,158,161,156,140,123,106,106,142,142,138,123,103,94,62,116,171,161,162,160,159,180,179,178,180,180,181,181,175,161,164,154,141,128,108,102,134,134,125,110,96,73,75,165,165,163,162,161,160,181,181,180,182,181,181,181,175,168,164,152,143,131,116,103,119,123,111,99,84,57,142,171,163,162,162,161,160,181,181,182,182,181,180,182,175,168,161,151,140,130,122,110,109,114,102,89,57,109,175,164,165,163,162,162,161,181,181,182,182,182,181,180,171,167,161,153,147,139,130,118,104,104,92,70,79,169,167,167,165,165,163,161,160,181,182,182,182,182,183,172,165,168,162,151,148,138,126,120,103,96,84,60,135,175,166,167,165,164,163,162,161
16,185,187,189,189,189,189,190,191,192,191,190,191,192,192,192,190,191,192,194,195,192,192,194,194,194,194,193,190,187,188,189,190,191,191,191,193,192,192,191,193,194,192,196,198,198,197,192,195,194,194,195,195,194,194,194,192,188,189,190,192,192,190,191,193,193,195,195,196,193,192,170,165,160,179,206,199,195,195,195,194,194,195,194,193,188,189,189,192,192,193,192,193,193,191,183,176,195,209,160,135,126,98,128,189,204,196,195,195,195,196,195,194,188,190,191,192,192,195,195,195,196,189,164,169,212,211,181,161,142,106,61,72,139,197,201,193,196,196,195,194,189,190,192,194,195,193,188,174,217,209,173,189,217,201,185,173,145,89,85,63,52,90,183,204,193,197,196,196,192,193,192,193,192,207,188,179,207,202,182,193,217,185,172,162,136,72,85,72,66,55,75,181,206,197,198,197,193,193,193,195,191,219,205,182,199,197,194,186,202,169,164,150,119,70,71,63,65,68,53,67,192,202,198,199,191,191,194,193,192,201,199,179,195,205,201,190,199,173,162,142,99,66,60,56,61,66,67,42,103,212,199,200,189,191,193,195,202,191,198,198,188,203,204,194,212,190,166,130,86,59,48,52,62,65,60,59,51,186,205,200,190,192,190,204,202,188,199,213,196,196,202,196,211,194,163,116,77,52,31,52,65,68,70,59,45,165,207,196,191,192,191,196,199,198,192,207,193,196,208,204,205,191,150,98,68,25,25,52,67,74,82,64,52,187,202,197,193,193,194,193,198,210,201,209,215,164,211,214,201,194,147,84,39,0,23,45,57,81,77,63,62,194,200,200,196,194,195,193,199,209,215,180,187,178,197,214,204,196,138,72,10,0,13,32,51,94,70,57,74,200,201,201,194,193,195,194,195,194,220,168,140,196,194,203,211,193,130,63,10,0,0,18,65,104,69,52,100,207,201,202,191,193,194,194,195,184,186,218,195,172,190,205,218,187,126,55,25,10,0,24,99,108,71,51,105,208,200,202,197,198,199,200,200,199,172,188,203,184,190,208,221,182,120,54,39,46,29,50,132,133,89,46,101,208,202,202,142,147,152,156,159,167,160,159,191,167,162,192,219,179,109,53,50,55,37,70,154,162,125,50,105,213,198,202,74,76,76,75,78,81,81,84,123,95,80,167,220,178,97,52,58,62,50,85,153,172,155,84,75,168,217,234,84,83,82,79,80,80,79,78,76,84,62,157,223,182,86,88,75,66,59,93,147,171,175,133,99,204,229,245,81,83,83,81,82,84,83,84,84,89,68,139,225,184,81,152,109,85,72,72,131,160,174,154,107,194,227,235,81,81,80,84,82,83,83,82,85,88,74,109,216,182,88,181,138,104,95,67,83,146,154,137,67,155,228,200,81,80,80,83,83,84,83,84,86,89,79,94,232,174,99,207,166,130,114,92,58,83,126,95,100,175,166,196,80,80,79,81,82,83,82,83,84,86,82,89,234,129,137,222,182,150,132,107,74,54,68,49,164,214,133,169,79,81,80,81,81,81,82,85,85,84,84,86,122,126,212,216,191,163,143,120,84,61,63,39,169,240,189,147,79,82,81,82,81,79,82,85,84,83,83,85,64,161,225,216,200,170,150,130,94,61,65,43,164,244,214,196,80,81,81,83,82,78,79,82,83,82,83,85,73,147,214,212,204,178,154,134,104,66,62,42,143,247,208,182,78,78,81,86,81,79,79,82,82,82,83,85,74,144,211,210,202,177,155,138,110,73,64,46,129,244,221,160
12,135,141,145,146,151,153,155,156,158,159,159,160,163,165,165,164,165,164,165,165,164,165,163,161,160,160,160,158,138,142,145,147,152,154,156,158,158,159,160,163,164,165,166,166,166,166,165,165,165,164,164,163,163,161,161,159,140,142,147,150,152,154,156,158,160,162,164,164,165,166,162,166,169,169,165,166,166,166,166,165,164,162,163,163,140,143,148,151,153,155,157,160,162,164,163,166,163,160,191,165,136,156,171,167,168,165,167,166,165,165,165,163,141,145,149,152,154,156,160,162,165,161,180,208,184,136,185,197,127,99,169,166,169,170,166,167,167,165,164,164,142,146,150,153,155,158,162,164,167,160,211,236,205,156,111,182,163,89,147,190,146,147,170,168,167,165,165,164,143,147,150,154,157,159,163,165,167,161,208,215,218,185,154,114,153,126,118,201,141,93,143,174,167,166,167,165,144,148,152,155,158,160,163,165,165,159,203,177,162,193,156,76,129,147,77,130,147,81,96,175,169,167,167,167,144,149,153,156,159,161,164,159,176,201,154,132,147,168,151,125,147,110,54,83,119,80,79,171,171,168,167,168,145,150,154,157,160,163,160,176,234,199,134,84,119,178,180,179,159,120,95,151,102,74,82,173,171,169,168,170,145,151,155,157,159,163,158,220,220,182,144,89,55,148,165,157,174,185,168,158,95,64,93,180,171,171,171,172,146,150,155,158,162,159,186,213,194,200,155,99,32,72,106,140,172,210,194,152,90,46,124,181,171,172,172,172,148,152,156,158,163,156,215,202,186,204,163,115,47,48,49,78,163,191,200,172,135,75,154,180,172,172,172,171,148,152,156,161,157,186,215,188,167,212,188,137,55,56,58,116,192,182,173,145,148,109,118,182,172,173,173,172,145,150,156,159,154,217,220,188,138,162,208,151,78,48,140,205,195,176,166,127,123,109,97,178,174,173,174,173,147,152,154,156,155,224,223,187,139,112,165,198,114,129,224,192,184,170,155,124,103,84,116,181,174,173,173,173,148,153,157,158,164,234,225,188,169,167,125,135,146,223,224,195,178,170,142,120,91,74,143,182,175,175,173,174,148,153,158,157,166,235,221,197,196,185,151,148,212,228,224,201,165,152,128,117,86,79,167,180,177,177,174,174,148,154,158,157,165,229,224,213,203,187,165,160,214,226,212,190,156,132,123,110,78,101,182,177,177,176,175,174,147,153,155,160,161,223,231,219,202,183,168,161,207,218,197,172,140,126,125,98,70,143,186,177,178,178,175,173,145,150,154,160,154,203,228,211,198,187,174,170,196,201,179,151,132,130,123,82,93,179,178,177,177,175,173,172,148,153,158,163,159,187,220,198,188,183,175,170,188,195,169,144,129,125,107,76,153,187,181,181,181,179,179,179,120,123,124,127,119,157,217,180,179,179,168,152,174,194,167,134,116,110,90,82,124,124,122,121,121,120,120,121,79,77,76,80,66,116,220,174,178,182,167,149,164,187,148,109,99,96,82,73,68,68,67,66,66,65,65,66,89,88,87,90,79,120,225,181,190,187,168,151,157,182,132,101,91,86,81,81,79,80,78,77,77,75,75,75,88,87,88,91,80,119,230,196,206,197,174,152,146,176,131,103,83,79,81,82,81,78,77,76,77,75,75,75,89,87,88,92,81,112,225,207,215,196,173,147,137,168,133,101,81,77,80,81,81,79,79,78,77,78,76,72,88,89,89,90,85,100,216,208,209,183,165,148,132,156,128,93,80,76,81,81,79,78,77,77,79,77,72,83
7,158,159,159,161,163,163,162,163,163,164,164,164,164,164,164,164,164,164,164,164,162,162,160,159,158,157,156,154,159,161,161,162,163,164,164,165,165,165,164,165,165,165,166,167,166,165,165,165,164,163,162,160,158,158,158,157,160,162,163,165,165,166,166,166,167,167,167,167,168,168,168,167,167,168,167,167,167,165,163,162,161,160,159,158,162,163,165,166,167,167,168,168,168,168,169,169,169,170,169,168,168,169,169,168,167,166,165,163,163,162,161,158,164,165,167,167,168,169,169,169,169,170,170,170,170,170,170,170,170,170,170,169,169,168,167,166,165,164,163,162,165,167,168,169,169,170,170,171,171,171,170,172,171,172,172,171,171,171,171,171,170,168,168,168,166,164,163,162,166,168,168,170,171,172,172,172,173,172,172,173,173,173,173,172,172,173,172,172,172,170,169,169,168,166,165,164,168,169,169,171,172,173,173,173,175,177,176,175,175,175,175,174,174,175,175,173,173,172,170,169,170,169,167,166,168,170,171,172,172,174,177,180,170,154,166,172,173,171,174,175,176,175,174,173,171,170,175,172,170,169,168,167,169,170,172,175,179,181,183,185,178,150,134,151,163,161,164,164,162,164,164,166,162,172,187,160,173,170,169,168,172,177,181,183,184,181,178,176,175,151,123,135,149,156,156,151,148,151,148,154,148,148,138,158,174,170,170,170,184,185,184,181,176,170,163,163,169,154,127,119,126,141,150,157,156,149,149,152,144,145,149,151,171,168,170,171,183,180,175,171,168,163,162,167,176,165,130,120,120,117,121,125,127,128,135,139,138,140,149,143,149,147,172,171,180,172,164,160,157,159,162,169,166,148,129,123,131,133,127,109,113,153,150,147,142,141,143,145,146,165,175,173,178,169,159,155,157,156,152,160,167,149,120,106,119,134,136,131,114,166,189,182,182,182,180,179,180,179,174,175,179,172,165,161,161,161,157,159,171,159,129,117,122,121,120,119,112,172,183,180,181,181,180,179,177,178,176,177,174,172,170,165,162,161,161,163,171,159,134,132,139,130,130,106,145,191,182,184,183,182,182,180,180,179,181,166,167,169,170,169,165,159,157,158,153,144,132,129,135,132,123,124,187,185,184,185,183,183,183,182,181,184,146,104,137,157,171,167,159,154,149,141,128,116,104,83,91,118,108,153,193,184,184,185,184,184,184,182,186,171,103,106,61,84,123,149,141,128,128,131,149,163,109,75,90,107,127,184,186,186,185,185,183,182,182,184,182,135,98,94,46,40,48,59,110,167,175,186,189,195,177,119,137,155,181,189,187,186,186,184,184,188,185,182,132,94,86,70,42,42,38,41,168,193,187,187,186,186,188,188,189,192,188,188,188,187,186,189,190,157,122,106,90,81,72,61,37,37,29,58,190,184,185,187,188,188,187,187,186,186,187,189,189,186,189,171,127,97,96,89,82,71,62,56,38,38,28,49,188,185,185,187,187,187,188,188,188,187,189,188,187,196,173,104,70,72,87,79,74,74,67,54,44,40,19,47,194,190,190,190,191,192,193,193,193,193,192,193,194,170,118,98,73,55,68,73,67,70,71,57,44,30,15,35,156,161,162,165,166,168,170,171,172,174,174,177,166,99,75,101,70,49,52,65,62,63,71,65,32,19,18,40,102,100,101,103,104,107,109,109,111,112,109,119,118,82,68,94,67,44,49,55,57,58,66,68,22,22,20,58,112,104,105,106,106,105,105,106,106,103,107,115,106,74,63,87,64,44,45,52,53,55,61,66
6,179,181,183,185,187,187,188,189,189,189,189,188,187,185,185,185,183,182,180,179,178,177,174,172,171,169,167,166,179,181,185,187,188,189,189,190,191,191,189,188,187,187,187,186,186,184,181,181,180,179,177,174,173,171,169,167,182,185,188,189,189,190,192,193,193,193,191,191,191,189,188,186,187,185,184,182,181,180,179,176,174,172,170,169,183,186,189,190,190,192,193,194,194,194,193,192,191,191,189,188,187,187,186,185,183,181,179,178,175,174,172,171,184,188,190,190,192,194,194,194,195,195,194,193,193,192,192,190,189,188,186,186,184,182,181,179,176,175,173,172,184,188,191,192,194,195,195,196,195,195,195,196,195,194,192,192,190,188,186,187,185,184,182,182,179,176,176,173,185,188,191,193,195,195,195,195,195,196,195,194,195,195,194,195,195,194,192,189,189,189,187,180,176,172,171,172,186,189,192,194,196,195,195,196,196,197,200,200,201,199,195,189,180,166,153,139,126,135,137,128,115,132,157,141,187,191,193,194,194,196,199,201,200,197,185,170,158,154,148,143,135,127,117,109,99,113,111,115,112,114,128,109,187,190,194,197,199,193,182,170,163,153,137,127,121,124,128,137,135,128,108,100,91,87,88,93,91,91,111,147,191,194,191,182,170,147,135,134,131,128,125,111,92,96,101,90,88,90,95,106,120,136,147,157,162,172,182,182,172,156,145,144,143,138,136,136,134,133,131,120,82,62,53,103,145,163,181,192,200,198,195,193,191,186,181,178,150,143,146,151,149,145,143,144,144,144,140,126,86,70,65,154,200,212,205,195,192,189,188,188,186,184,182,181,153,151,147,146,143,140,138,134,136,139,127,98,71,74,82,71,81,121,176,202,194,193,191,189,187,184,182,181,156,151,147,144,141,136,131,127,122,120,107,83,71,77,84,85,80,66,66,145,201,193,192,189,187,185,184,182,153,148,144,140,138,131,127,124,121,128,125,95,63,57,72,89,91,89,73,80,199,194,194,192,188,187,185,182,147,141,138,132,128,124,123,118,121,133,135,100,67,60,54,51,62,80,60,116,205,194,193,192,189,188,186,183,142,138,128,122,123,119,117,107,109,117,103,79,73,77,77,65,46,66,136,196,199,196,194,193,191,188,187,185,129,129,123,115,112,110,106,97,93,99,83,61,64,75,78,76,64,84,206,201,198,196,194,193,191,189,187,186,120,127,122,114,108,106,104,100,103,107,89,55,46,59,73,80,68,57,185,202,196,196,194,193,192,191,186,185,107,120,123,119,111,101,98,103,112,107,84,67,70,68,57,59,73,136,206,199,199,198,196,194,192,190,187,186,74,86,100,110,106,98,94,93,90,77,66,63,65,69,49,97,197,208,202,201,200,197,196,195,193,190,187,187,12,88,138,104,85,90,94,101,102,116,137,134,100,77,94,183,213,200,203,202,200,198,196,194,194,193,190,186,4,159,216,197,184,191,198,204,207,214,216,216,210,198,211,208,201,203,202,200,199,197,195,193,192,191,189,186,53,195,196,199,204,204,204,205,206,204,203,204,205,208,204,201,202,201,201,200,197,195,194,192,190,189,187,185,147,202,195,197,199,201,202,204,206,206,206,207,206,205,204,203,202,201,200,199,197,195,193,192,190,188,187,185,195,193,197,198,200,202,203,205,206,206,206,206,206,206,205,203,202,201,199,199,197,195,194,192,190,187,186,185,188,194,197,199,200,202,203,204,205,205,206,205,206,205,206,204,201,200,199,199,197,195,193,190,190,187,185,184
1,153,157,160,161,163,165,167,167,168,169,169,170,171,170,171,171,171,171,171,170,171,171,171,171,170,169,168,168,156,160,163,163,166,168,169,170,170,171,172,173,172,173,173,173,174,174,174,173,173,174,173,174,173,172,171,171,158,162,165,166,168,170,172,173,173,174,174,175,175,174,178,178,175,178,177,176,176,177,177,177,176,175,174,174,161,164,167,169,172,173,175,175,176,177,177,177,178,181,162,168,180,178,178,178,179,179,179,178,177,178,176,175,164,166,169,172,175,176,177,177,178,179,178,181,172,188,154,131,194,182,179,179,180,180,181,180,179,178,178,177,165,169,172,175,176,179,180,179,179,181,178,194,167,156,165,112,156,167,185,181,183,183,183,182,181,180,179,179,168,172,175,177,178,180,181,182,181,183,181,198,167,150,176,107,143,122,187,184,185,185,186,185,184,184,182,181,171,174,176,179,181,183,184,185,185,185,180,201,175,147,191,123,152,122,168,191,186,186,187,187,186,185,185,183,174,176,178,181,183,184,186,186,186,191,169,164,194,136,190,134,151,139,148,196,187,189,188,187,188,187,186,185,175,179,181,183,185,186,186,189,187,198,166,137,199,132,178,148,162,176,133,193,191,192,191,191,190,189,188,186,177,179,181,184,186,187,188,191,188,202,171,142,196,136,180,165,146,189,132,178,196,192,193,192,192,190,190,189,177,181,183,185,187,189,191,191,189,207,172,148,213,151,172,178,132,193,148,156,202,193,194,193,193,192,191,191,179,183,185,186,189,190,191,194,191,204,171,141,208,136,139,179,119,196,168,140,202,195,196,195,194,195,193,192,180,184,186,188,190,191,193,195,193,204,185,126,182,146,140,169,140,179,162,132,193,198,197,197,196,195,194,193,181,184,187,189,191,193,195,196,194,209,175,125,159,199,162,161,190,163,142,125,176,204,196,197,198,197,196,195,181,184,188,190,192,195,196,196,196,204,181,177,143,171,175,197,191,154,142,126,142,208,197,199,200,198,198,197,182,185,189,191,193,195,196,196,200,202,183,177,141,155,205,204,187,195,158,124,115,201,201,200,201,199,198,198,183,186,189,192,195,196,196,196,202,209,171,155,162,185,182,155,152,218,205,167,108,183,206,200,203,202,201,200,182,186,189,192,194,197,197,197,203,220,174,149,149,142,133,138,176,203,202,174,133,161,211,201,203,202,201,201,183,185,188,191,192,195,196,196,200,227,191,145,156,156,176,205,216,195,185,157,116,148,212,201,202,202,202,202,184,186,189,192,193,195,197,197,198,222,212,153,171,164,202,219,215,201,177,152,100,149,213,201,203,202,202,202,184,186,190,192,194,196,197,198,198,220,224,168,182,167,194,224,222,202,167,141,98,155,214,201,203,203,202,202,184,186,189,191,193,196,197,199,197,213,223,186,195,177,181,227,221,192,160,131,99,178,211,203,204,203,203,202,186,189,193,194,195,197,199,199,198,204,220,205,196,186,167,222,215,184,155,122,101,194,208,205,204,204,204,203,172,176,180,185,188,193,194,195,199,197,216,219,198,182,157,205,208,175,145,114,114,212,212,213,209,204,204,205,111,113,115,119,123,124,126,129,133,129,200,213,188,175,154,180,192,163,134,115,122,179,175,175,191,211,207,202,113,113,112,112,113,113,113,113,115,105,180,204,182,172,151,165,183,159,127,115,111,107,128,172,196,195,203,201,113,116,122,121,120,119,116,117,119,111,178,204,185,167,156,164,181,154,114,109,129,177,213,215,194,171,170,199
4,92,96,99,104,107,112,118,122,123,125,131,132,133,137,140,141,140,141,142,144,146,146,145,145,145,145,144,143,94,99,101,105,110,114,121,124,126,128,131,134,138,138,140,145,147,142,146,147,146,148,148,147,148,148,146,145,96,102,102,106,112,117,122,123,129,131,134,142,136,149,133,89,122,155,142,146,153,149,150,151,151,150,148,148,98,103,104,109,114,119,123,127,128,135,124,116,142,182,151,91,60,132,120,73,128,158,150,153,153,151,150,151,100,104,106,111,116,121,125,125,144,177,134,108,109,179,157,128,85,66,124,64,45,148,156,155,156,155,154,155,102,105,106,111,117,122,130,120,170,215,172,148,84,134,176,130,103,38,108,93,41,100,167,153,156,157,155,156,103,106,107,112,119,124,126,124,159,191,207,173,115,85,184,143,103,30,100,101,46,89,171,156,159,159,158,157,103,107,111,116,122,122,142,154,138,135,155,185,118,45,126,151,81,25,90,100,37,85,171,157,158,159,159,158,105,107,111,116,124,116,178,201,177,159,112,87,83,28,56,100,48,24,67,75,27,101,171,157,161,160,159,159,105,107,112,117,125,118,186,181,176,168,108,32,35,30,15,61,27,0,28,25,15,127,169,160,164,162,161,161,106,108,112,118,125,124,174,103,97,120,70,24,14,48,0,43,51,72,106,37,4,150,166,160,164,163,163,163,108,111,112,119,126,128,166,81,18,72,80,31,12,38,39,67,127,170,146,72,24,108,174,166,162,166,165,164,109,112,114,120,128,128,165,107,70,49,91,50,48,100,112,126,156,166,113,65,53,36,85,158,172,165,166,166,110,112,115,122,129,126,165,129,98,54,45,25,51,135,101,119,130,114,75,59,63,59,41,49,127,174,166,167,111,115,118,123,130,127,160,147,85,43,26,12,3,66,67,71,66,58,44,54,61,61,61,45,34,157,172,167,112,115,119,125,132,127,158,160,100,72,51,33,11,0,29,51,58,47,29,38,58,71,61,55,39,135,176,166,114,114,118,125,132,129,154,176,135,81,57,39,25,17,45,102,109,104,95,69,64,88,63,51,57,155,174,168,112,116,119,126,132,132,151,174,135,95,85,57,40,29,74,142,160,161,151,120,91,81,63,50,97,175,171,171,112,116,120,127,133,134,148,178,138,125,107,65,47,39,85,166,174,166,145,112,86,62,54,57,148,177,171,173,115,116,121,128,132,135,145,172,143,137,107,58,50,49,85,168,159,147,132,105,75,59,50,83,178,173,175,173,116,116,122,128,132,139,142,166,145,127,96,54,58,57,87,152,138,129,121,95,66,60,54,125,184,174,175,175,116,116,121,128,134,141,141,163,147,123,89,57,70,67,105,139,126,123,106,78,59,60,69,161,178,174,176,177,114,117,123,130,135,140,143,156,154,121,84,76,96,79,107,126,118,110,80,62,58,57,112,181,175,177,179,177,116,116,122,130,136,140,145,151,151,120,96,102,101,82,80,100,93,81,61,55,56,73,162,179,178,178,178,177,116,118,124,130,136,141,147,149,156,132,107,102,89,71,56,64,63,56,53,63,56,115,186,179,181,180,179,178,116,117,124,130,136,141,147,148,156,152,106,81,71,58,53,56,55,56,58,65,42,127,188,178,181,179,178,179,117,119,126,131,137,142,147,151,153,158,109,63,50,48,51,61,59,57,58,59,30,102,191,177,179,181,181,181,118,120,126,131,137,142,147,153,152,151,126,74,62,66,67,68,63,55,56,54,35,80,188,178,179,182,183,182
18,185,188,190,192,195,196,199,202,204,205,207,208,209,211,212,212,212,212,213,212,212,213,213,214,214,215,215,215,186,190,191,193,195,198,201,204,206,207,209,210,211,212,212,212,214,214,216,218,213,216,216,215,216,216,216,216,188,190,192,195,197,200,202,205,208,209,210,211,213,214,216,216,215,207,186,200,223,216,216,221,217,218,219,218,189,191,194,196,200,202,203,206,209,209,213,214,214,215,213,212,234,205,170,143,188,191,173,195,225,219,220,220,189,193,196,199,201,203,205,208,209,212,214,216,217,216,187,166,207,190,144,143,123,174,172,138,199,227,221,222,192,194,196,200,202,204,208,210,212,213,215,210,224,232,182,160,192,174,134,135,120,170,190,145,145,231,222,222,194,195,198,202,204,207,210,211,214,215,220,188,171,212,202,182,200,180,163,156,141,146,170,148,133,227,224,224,195,197,200,202,206,209,210,214,214,219,232,201,175,159,207,193,180,200,194,193,185,158,134,130,137,228,225,225,196,198,201,203,206,209,212,215,215,224,226,225,205,161,163,195,161,181,209,203,202,175,130,107,138,231,226,226,197,200,202,205,208,210,213,215,217,225,198,221,203,180,134,161,172,140,184,203,198,170,137,108,138,235,226,228,198,201,204,207,210,213,215,215,218,226,170,168,192,165,119,128,163,127,130,171,190,182,153,112,151,238,226,229,199,202,204,208,211,214,216,217,219,228,188,161,180,139,111,115,141,121,108,130,198,199,168,121,145,240,227,231,200,203,205,208,211,214,215,217,219,231,214,180,171,139,114,107,135,117,98,110,193,215,180,145,119,218,234,229,201,203,207,209,211,214,216,219,220,232,206,170,157,140,117,102,139,123,86,172,219,225,198,158,116,150,240,230,202,204,208,210,213,216,218,221,221,228,222,201,171,144,124,115,125,106,158,233,231,219,195,156,132,137,237,233,203,205,208,210,213,217,219,223,221,230,228,206,173,147,133,128,120,152,226,242,237,220,184,150,129,151,241,232,203,205,210,211,213,217,219,223,222,231,231,211,180,158,147,150,151,205,239,244,225,208,177,140,120,169,243,231,205,207,210,211,215,218,220,223,224,229,231,217,193,177,169,151,160,214,238,239,211,185,161,137,116,191,244,233,204,207,209,213,215,218,221,223,223,227,228,218,200,181,172,158,160,203,240,233,202,179,151,133,119,207,243,235,203,206,211,214,216,218,221,225,226,225,227,220,203,181,176,178,158,192,239,225,191,166,143,128,127,224,240,236,203,206,211,213,215,218,221,222,226,226,223,218,207,189,194,187,158,177,238,209,181,153,137,123,140,238,238,238,203,206,209,211,214,217,221,220,224,226,221,215,209,197,190,192,164,166,227,196,168,143,132,120,158,246,236,238,203,207,210,212,215,217,222,222,223,225,223,216,211,199,189,189,169,153,211,187,151,137,131,117,176,244,235,238,206,208,212,214,215,219,222,223,224,227,226,222,218,201,186,178,161,140,194,169,138,130,131,124,212,241,237,238,205,208,212,214,216,220,221,223,225,227,221,232,217,193,175,160,137,138,172,151,137,134,122,162,244,238,238,239,205,208,211,214,217,219,221,223,226,224,220,236,212,187,171,146,139,142,166,146,137,133,127,213,240,237,238,239,205,209,211,214,217,220,221,223,227,222,226,238,216,196,181,159,148,151,165,139,142,116,164,245,237,238,238,239,205,209,210,213,216,219,221,222,225,219,227,231,222,203,192,162,142,164,157,141,132,114,203,241,235,238,238,239
13,158,161,164,165,167,167,169,172,172,171,170,172,172,173,176,173,173,176,174,174,173,173,173,174,174,174,174,173,161,163,165,167,170,171,173,173,173,173,173,173,173,174,167,175,181,175,175,176,175,175,178,177,176,177,175,174,163,165,168,169,170,172,174,173,174,177,182,178,182,175,123,84,159,183,176,175,178,179,179,179,180,180,178,178,164,167,172,172,173,175,176,176,176,173,153,161,195,180,130,41,116,198,180,186,180,182,182,182,181,182,182,181,165,169,171,172,175,178,179,175,197,177,114,86,161,177,128,50,93,116,99,143,188,182,182,182,180,181,182,182,167,170,173,175,177,179,180,172,207,198,141,82,152,182,115,44,68,133,77,29,162,192,184,184,183,183,183,184,169,170,174,177,178,176,183,144,95,137,164,88,142,179,103,37,146,159,95,24,114,202,185,187,187,188,187,187,172,174,176,179,177,188,195,144,96,58,146,86,132,203,103,71,168,131,87,26,118,201,186,188,189,190,190,189,174,178,180,178,188,189,187,166,120,58,113,103,96,167,84,75,176,138,79,18,146,200,187,190,192,191,191,190,175,180,181,181,196,152,164,175,116,56,74,123,47,10,16,86,191,144,59,28,171,195,190,192,191,192,191,190,177,179,179,188,196,160,134,160,120,51,50,114,63,0,25,128,136,73,20,49,194,193,193,193,191,193,194,192,180,181,182,201,190,153,110,164,115,54,44,92,68,0,17,141,156,108,47,101,211,193,196,195,194,194,194,194,180,181,183,208,193,154,99,149,107,53,35,92,77,36,143,143,139,131,99,69,194,197,197,197,196,195,195,196,181,182,186,209,182,145,93,118,112,63,34,140,108,104,189,160,129,98,79,40,149,209,197,198,197,197,197,197,183,183,189,208,184,155,128,100,105,103,15,120,141,176,177,152,124,80,61,42,164,206,198,200,199,198,198,197,182,184,193,209,186,162,141,108,75,59,31,147,190,198,173,140,112,75,52,56,194,201,199,201,201,199,199,198,184,183,194,209,186,160,143,134,93,77,103,195,196,196,161,126,97,67,44,87,209,199,202,201,202,200,199,200,185,185,192,202,187,166,151,145,106,92,97,182,197,181,138,107,82,59,40,150,213,202,205,202,202,201,201,202,185,186,188,192,189,170,155,148,120,90,99,184,194,161,125,95,72,44,85,208,205,206,205,204,203,203,204,203,185,186,186,192,193,173,154,148,125,94,115,167,181,141,115,83,64,37,156,214,202,206,205,205,204,204,203,203,183,186,188,193,193,174,153,143,124,92,123,157,149,120,102,74,53,60,199,203,203,204,204,203,204,204,203,203,183,187,186,194,192,164,148,131,105,91,133,137,117,107,86,68,39,128,215,202,204,204,204,204,204,203,202,203,185,187,180,196,184,153,144,116,97,100,136,119,106,98,76,53,73,197,204,203,203,205,205,205,205,204,204,204,184,183,179,208,176,157,145,115,109,120,138,113,104,81,65,49,166,209,202,205,204,205,205,205,205,205,205,204,185,179,188,214,180,171,148,116,122,136,121,100,89,64,40,117,208,203,203,204,204,206,205,205,206,205,205,205,185,177,190,196,174,176,154,125,133,128,106,86,69,48,56,191,206,203,204,204,204,206,206,206,206,205,204,205,189,171,189,180,158,160,145,120,120,122,95,66,62,31,126,210,203,206,203,205,205,206,207,207,207,206,206,207,123,144,194,171,148,128,120,107,118,128,78,61,56,37,158,197,195,200,202,203,205,205,208,208,206,208,204,194
0,219,219,219,219,219,218,218,217,218,220,219,219,218,218,216,216,216,215,214,214,212,211,212,212,210,209,208,207,221,221,221,220,221,222,221,221,221,220,220,220,220,219,218,217,216,216,215,215,214,214,214,212,210,209,209,208,222,222,221,222,222,222,221,221,221,221,223,223,221,221,220,219,218,218,216,216,217,216,216,214,214,211,211,209,223,222,222,222,221,221,221,221,223,223,223,223,223,222,221,224,222,219,223,224,218,215,214,216,215,214,213,212,223,223,224,224,222,223,222,222,224,223,223,223,222,222,217,200,210,227,203,187,211,207,174,217,216,215,214,214,224,224,225,225,225,224,224,224,224,223,225,227,228,223,190,153,132,170,170,140,136,200,143,188,224,214,215,213,225,225,226,226,226,227,226,225,227,230,227,207,179,187,187,157,123,101,169,151,104,173,166,140,232,215,216,215,227,226,226,226,227,227,226,226,206,200,215,192,144,108,170,165,147,117,171,153,113,150,188,112,170,230,215,216,227,228,227,227,226,226,224,215,180,129,188,188,148,106,156,174,157,117,174,157,112,120,186,143,111,174,224,215,229,228,228,228,228,227,214,209,184,137,171,193,156,120,151,178,149,112,177,162,111,86,177,165,131,105,220,217,229,228,229,229,229,225,202,199,193,160,157,199,157,126,131,179,150,100,153,141,101,91,185,179,119,120,228,217,229,229,229,230,230,220,196,178,192,170,146,189,153,123,115,178,147,83,91,101,71,130,203,174,99,168,233,218,230,231,231,230,229,217,212,171,173,165,124,167,159,130,92,119,108,55,73,85,106,186,198,156,98,212,223,220,231,233,233,231,228,210,193,143,144,130,80,129,154,124,73,59,72,109,161,151,165,199,184,122,129,235,219,221,232,234,233,233,225,208,201,168,135,101,75,81,108,82,63,85,149,196,193,187,164,176,168,87,170,237,221,221,232,234,233,234,225,209,211,189,152,131,118,112,123,125,145,177,199,197,189,187,156,139,131,78,207,228,223,222,232,234,233,235,224,209,218,194,166,149,134,143,167,195,203,207,209,200,181,176,142,116,82,135,237,224,225,223,232,233,232,235,226,203,219,197,173,145,142,151,188,209,211,214,211,191,172,161,131,80,106,228,228,227,225,225,230,231,231,233,229,196,207,197,178,154,149,162,205,215,211,213,201,177,159,143,102,85,217,232,226,226,226,225,231,233,233,233,235,201,203,203,183,171,162,175,208,212,211,203,182,166,145,122,74,188,237,224,227,226,224,223,234,234,233,233,238,212,192,204,196,184,166,179,205,204,204,192,164,147,132,78,149,240,225,228,227,226,224,224,233,233,233,234,236,226,190,200,195,179,161,172,197,190,185,168,146,130,87,112,234,229,228,228,227,227,226,224,233,233,233,234,234,235,199,195,189,171,161,166,186,178,165,148,126,86,90,220,233,229,230,228,228,227,227,226,233,233,233,233,234,234,204,196,182,163,160,162,179,172,150,132,95,84,212,236,229,231,232,229,228,227,227,226,235,234,234,233,236,226,200,194,186,180,178,170,173,169,139,111,71,198,240,229,231,229,231,229,228,227,226,225,227,230,232,232,237,212,196,203,194,194,182,172,168,159,124,81,123,249,234,239,238,236,235,234,233,231,230,228,150,153,155,158,157,175,202,210,202,192,182,174,161,133,114,76,139,207,202,204,207,210,211,211,213,214,215,215,129,128,126,126,119,164,204,210,197,190,182,172,136,123,105,78,105,129,128,127,128,130,130,131,133,135,136,135
1,100,104,119,138,151,159,161,168,174,177,180,183,187,190,191,196,195,195,196,197,197,198,198,198,201,201,200,200,101,106,122,140,154,161,164,170,177,181,185,188,190,201,202,162,199,201,202,200,201,202,202,202,204,202,201,201,103,109,126,145,157,163,167,175,183,187,189,191,196,214,221,128,181,174,190,209,204,205,206,206,205,205,204,204,105,111,129,148,160,166,172,180,187,190,196,211,157,212,222,126,174,177,142,218,209,210,211,210,210,209,207,206,105,113,133,150,162,168,174,184,191,193,204,231,136,196,223,120,174,199,121,205,219,216,215,214,214,213,212,211,105,116,137,153,166,170,177,187,194,198,207,236,143,184,229,133,177,207,122,187,227,218,219,219,218,218,217,216,107,119,141,157,170,174,182,190,197,200,213,242,151,169,220,137,179,221,138,176,233,221,223,223,222,222,221,220,107,122,143,161,172,177,183,193,202,209,175,235,160,149,202,139,178,217,142,171,239,226,227,227,227,226,225,224,108,125,147,164,175,180,187,195,215,219,140,223,164,129,210,147,170,227,153,171,244,229,231,232,232,230,228,228,109,128,150,167,177,181,192,198,226,211,133,227,174,118,199,142,168,237,164,171,247,234,237,236,235,234,232,232,110,130,152,169,180,183,195,201,231,209,126,218,193,122,168,163,168,217,168,166,250,238,240,239,238,237,236,235,112,132,155,172,181,186,197,203,239,221,123,186,215,178,181,187,166,158,145,163,253,240,242,241,242,241,239,238,113,135,157,174,184,188,200,206,241,225,125,163,180,185,189,152,158,190,140,165,255,242,246,245,245,244,243,243,115,138,161,178,187,191,204,210,237,229,169,183,122,167,146,129,207,231,206,162,232,254,245,248,247,247,246,246,116,141,164,182,189,194,206,213,247,234,186,161,123,151,117,167,221,226,232,175,142,243,253,251,250,250,250,248,117,143,165,183,192,198,210,218,255,233,181,143,129,158,161,224,244,231,210,153,116,173,255,251,254,253,253,252,119,145,168,186,193,199,212,221,255,243,184,139,144,167,183,242,254,239,197,147,112,156,255,253,255,255,255,254,121,148,171,189,196,202,216,222,255,255,196,141,155,181,205,241,251,236,195,151,102,176,255,255,255,255,254,255,124,152,174,191,197,205,218,224,255,255,217,152,162,190,211,253,253,227,186,149,101,197,255,255,255,255,255,255,127,155,177,193,199,207,221,226,255,255,236,167,170,193,207,255,249,223,174,142,99,215,255,255,255,230,169,109,131,157,179,196,201,210,223,228,252,255,247,182,185,184,203,247,243,216,163,135,101,231,255,207,129,86,66,72,133,159,182,198,203,211,224,231,242,251,252,198,201,178,206,235,238,204,157,125,110,255,182,84,62,67,70,63,135,161,184,199,203,212,224,233,234,243,251,215,204,185,191,233,219,192,145,118,126,163,78,86,75,49,68,71,137,163,186,199,203,212,222,230,233,237,243,221,209,198,174,213,206,178,140,120,100,66,59,82,89,44,49,76,138,165,188,202,204,214,225,232,239,233,239,229,216,210,178,185,204,168,139,116,85,78,58,54,88,62,37,61,140,166,190,204,206,217,226,234,242,235,241,238,224,211,174,169,192,165,133,106,89,78,66,37,67,80,36,43,138,167,192,204,208,219,228,236,242,239,244,227,207,200,176,170,169,154,122,99,93,67,66,42,47,79,53,29,151,170,188,197,203,213,220,230,238,234,242,235,204,207,197,169,154,148,118,95,88,77,57,47,37,65,67,32
12,174,176,179,178,178,179,180,179,180,182,181,180,182,184,182,182,182,181,181,181,182,182,180,180,180,179,179,179,178,179,180,181,181,182,183,183,183,184,184,185,185,182,185,187,184,182,183,183,184,185,183,183,183,182,181,179,180,180,182,183,184,185,185,187,185,186,185,172,182,201,174,160,182,188,186,186,186,188,186,184,184,184,183,181,181,183,185,185,186,187,185,188,184,219,202,162,139,226,195,144,131,195,186,189,192,187,188,187,187,186,186,185,183,186,188,188,188,188,190,189,193,248,225,188,118,198,230,174,96,171,183,149,169,196,189,191,190,189,189,187,186,188,189,191,191,191,192,189,199,249,243,200,130,154,245,192,132,89,176,146,96,177,196,192,193,191,190,189,188,189,191,191,192,194,195,191,204,238,246,207,149,119,235,200,160,80,138,160,75,120,207,192,197,195,194,192,188,190,192,192,193,195,197,192,208,222,233,224,166,100,196,210,160,100,73,139,84,109,211,196,197,195,195,194,190,192,195,196,197,198,196,197,198,176,209,224,197,149,126,197,146,83,33,88,81,120,211,197,199,197,198,196,193,194,197,197,200,191,201,230,166,132,160,186,198,147,75,100,103,42,70,120,64,138,212,198,201,199,199,200,193,194,198,201,195,214,245,216,132,104,112,102,147,106,68,84,129,101,157,137,64,170,208,200,203,201,200,199,196,197,198,196,212,250,225,183,132,107,65,58,82,131,121,139,185,216,186,115,63,195,213,203,205,204,203,202,195,198,200,200,238,216,187,195,158,125,68,62,68,67,82,108,167,225,232,206,133,107,195,209,204,204,204,204,198,197,198,205,236,205,172,201,171,127,82,55,79,82,79,71,173,213,234,210,164,112,101,212,206,205,205,204,199,197,196,226,234,200,155,184,188,176,127,63,83,106,92,172,221,208,200,177,167,157,88,184,214,207,207,206,198,201,200,220,248,219,175,121,183,212,148,79,79,110,170,229,221,209,191,141,148,139,89,198,212,208,208,208,200,201,201,213,247,234,201,143,126,166,201,167,82,192,239,221,211,196,178,137,115,92,109,221,209,208,209,209,200,201,202,213,248,241,210,166,159,134,148,144,169,247,237,223,203,186,162,130,94,63,156,221,211,212,211,209,201,202,203,211,239,243,225,180,176,168,120,158,240,240,240,218,186,170,139,123,80,73,204,213,211,213,212,211,200,201,201,204,229,236,236,203,185,171,163,157,233,238,235,206,165,147,124,118,66,116,225,210,213,213,213,213,200,199,202,198,215,239,240,224,198,175,177,151,215,236,215,192,147,122,128,105,56,167,222,210,213,213,212,211,200,200,204,200,196,242,242,226,203,180,173,162,194,228,193,166,130,114,133,85,72,210,214,213,212,212,212,210,201,203,204,208,194,228,228,202,189,178,172,170,176,197,175,139,122,123,118,63,131,226,212,213,212,213,213,213,200,203,204,211,198,221,216,183,175,172,174,164,166,176,162,146,118,115,91,76,203,218,214,214,213,213,213,213,200,205,205,208,202,215,212,187,186,186,178,163,159,177,173,138,98,96,63,157,225,214,215,214,215,215,214,214,202,203,206,206,202,211,220,200,198,192,183,174,155,184,163,110,87,69,99,220,213,217,215,215,215,215,215,214,199,202,206,209,206,209,230,204,207,201,187,184,144,178,141,103,84,62,179,225,216,217,217,216,215,215,214,213,121,124,125,133,129,178,241,217,213,211,193,186,139,164,133,106,69,80,200,201,204,207,210,212,214,215,213,213
23,81,84,87,96,106,115,123,126,129,134,140,144,147,150,151,153,157,159,161,161,160,161,161,162,163,162,161,161,81,84,88,98,108,117,124,128,130,136,141,145,149,151,152,155,159,160,161,163,163,163,163,163,164,163,162,162,81,85,89,99,109,118,125,129,131,137,142,147,150,152,155,157,160,161,164,164,165,165,165,165,165,165,164,163,82,84,89,100,110,119,127,130,132,138,144,149,152,154,157,159,161,163,165,165,166,165,166,166,166,166,166,165,83,86,89,100,111,121,128,131,135,140,145,150,152,155,158,160,162,165,165,166,167,166,166,166,166,166,166,164,83,86,91,101,112,122,128,132,136,141,146,151,154,157,160,161,164,165,166,167,169,168,168,167,167,167,166,166,82,85,91,102,113,123,130,132,136,143,148,152,155,158,161,163,165,166,168,169,170,170,168,169,169,168,166,167,83,86,92,103,114,124,130,134,137,144,150,154,157,160,163,165,166,168,170,171,191,196,176,167,163,168,168,167,83,86,93,104,114,124,131,135,138,145,151,156,158,161,164,167,168,170,178,206,214,182,180,160,115,163,170,170,83,86,93,105,116,126,133,136,140,147,153,157,160,164,166,168,170,182,224,195,168,117,138,142,147,171,172,172,84,86,94,106,117,127,134,136,141,148,154,158,161,164,166,169,170,213,232,143,107,143,171,174,175,174,173,173,83,86,94,107,118,129,135,138,143,149,155,159,163,166,169,171,176,231,230,173,177,161,166,177,177,176,175,174,83,86,94,107,118,129,136,138,144,151,156,161,165,167,171,174,195,233,235,229,212,148,132,179,178,178,177,176,83,87,95,108,119,130,137,140,145,151,157,163,166,179,197,208,223,185,207,195,180,126,102,158,177,180,179,178,84,87,96,109,121,132,139,142,147,152,159,164,182,209,206,214,224,195,220,215,185,122,87,137,158,182,181,180,84,87,97,110,122,133,140,144,149,155,161,175,210,197,190,194,193,173,196,201,168,111,75,105,118,181,183,182,84,87,97,110,123,134,141,144,149,156,161,217,231,214,200,201,193,181,177,147,128,106,73,100,93,138,183,183,84,87,97,110,123,134,142,144,150,157,164,233,235,213,179,179,187,185,173,131,107,109,65,98,100,104,169,185,84,86,97,111,123,135,142,145,150,157,166,231,230,197,154,125,136,154,155,116,109,106,62,95,104,115,178,186,84,86,98,112,124,136,142,144,150,158,170,236,231,170,120,98,78,161,150,109,112,88,79,103,108,146,188,188,83,86,99,112,124,136,143,146,153,159,173,240,221,166,120,88,89,151,131,104,93,65,90,112,121,182,190,191,83,86,99,112,125,137,143,146,153,160,180,240,213,162,122,91,82,92,93,77,71,78,90,109,151,192,192,192,81,84,98,112,124,136,142,145,152,159,188,237,207,160,123,89,62,65,71,82,95,97,98,110,177,192,192,192,80,83,96,111,125,136,144,146,153,160,198,233,202,161,124,97,76,85,99,106,111,104,101,143,192,194,193,192,79,83,95,110,124,137,144,146,154,161,196,224,194,157,127,103,88,91,110,115,114,104,118,189,195,195,195,194,77,81,94,110,124,136,144,146,153,160,199,216,185,159,133,110,98,95,113,118,115,104,155,197,196,196,195,194,74,79,92,108,123,135,142,146,152,159,207,209,188,173,146,120,105,96,112,115,112,123,189,198,197,195,195,195,75,80,92,106,120,133,140,144,152,159,219,216,200,185,158,126,109,101,109,110,115,174,197,196,195,194,195,194
4,179,181,181,182,184,185,187,188,187,188,187,187,187,189,187,189,187,188,188,188,189,188,189,188,188,186,185,186,181,181,183,185,187,187,188,188,188,189,188,189,189,188,189,190,191,190,189,189,190,191,189,189,189,188,188,188,183,185,187,188,189,189,189,189,189,191,191,191,193,193,188,169,158,182,180,158,160,190,193,192,193,191,190,189,186,187,189,189,189,191,191,191,191,192,192,182,176,182,202,194,163,135,140,166,143,121,178,196,194,194,192,192,188,188,189,190,192,193,194,193,194,195,195,193,173,137,140,199,186,134,79,109,144,93,113,203,195,194,194,194,190,191,192,193,193,194,195,193,192,182,194,201,187,139,94,129,186,133,84,55,118,97,92,201,195,196,196,195,191,193,193,194,195,195,194,195,191,142,117,148,192,149,90,53,171,147,101,47,106,121,93,198,199,198,197,197,193,195,196,196,196,195,198,195,194,143,84,65,173,175,106,41,142,191,135,61,99,149,103,197,201,199,198,199,193,196,198,197,198,197,198,172,163,151,113,45,148,194,111,79,149,190,142,80,73,137,123,204,201,200,200,200,195,196,197,199,200,200,200,176,116,154,150,69,100,176,115,72,105,142,135,77,61,88,76,189,204,201,201,202,195,197,199,199,200,201,203,183,148,144,142,87,72,97,93,85,82,98,105,73,82,107,87,125,209,203,204,203,197,198,201,201,201,201,206,199,175,143,108,80,76,88,86,94,99,91,87,78,139,150,135,102,179,209,204,203,200,201,202,202,202,203,208,198,167,142,113,95,96,100,103,119,120,126,136,132,148,172,158,115,111,210,206,205,200,201,202,204,204,203,208,193,154,126,111,97,110,120,140,151,165,182,198,194,169,160,135,98,70,176,211,206,200,201,203,205,205,205,208,199,164,136,118,107,125,129,165,194,180,196,197,191,177,153,121,84,69,136,217,207,201,203,205,207,207,206,208,211,181,149,122,113,124,134,186,195,187,194,194,186,170,149,120,87,66,157,214,208,202,204,206,207,208,207,206,212,192,163,133,115,124,143,190,196,196,201,198,185,171,150,115,83,80,200,211,209,203,205,206,207,208,209,207,211,205,176,145,119,140,145,183,199,208,211,206,192,171,136,106,75,127,219,213,211,204,206,206,207,208,209,208,210,211,187,154,132,153,155,175,201,213,215,218,203,163,125,98,72,178,217,212,212,205,206,208,209,210,211,208,206,209,202,159,140,156,164,181,203,217,221,222,194,149,121,87,91,213,214,214,212,207,207,209,209,212,212,212,201,199,203,170,148,155,163,185,207,213,222,206,169,136,115,75,138,223,215,215,214,208,209,209,210,212,212,214,197,194,203,185,159,152,160,182,205,204,202,179,151,126,102,72,191,219,215,215,214,208,209,210,210,210,211,215,204,189,202,193,174,160,163,178,195,197,178,159,135,107,81,124,222,217,215,215,214,208,208,209,209,210,212,214,213,189,187,188,181,170,166,166,171,175,157,135,108,82,87,204,219,217,217,217,216,205,207,207,208,209,210,212,215,195,183,187,179,170,165,153,152,160,144,117,90,64,151,223,216,216,217,218,216,206,207,207,209,210,211,212,215,198,188,182,170,163,159,143,139,146,132,94,79,71,199,220,217,216,216,216,215,208,209,209,211,211,212,213,215,202,188,172,148,153,152,144,142,136,117,87,74,96,218,218,218,218,216,217,216,208,209,211,212,212,212,213,215,206,189,180,159,171,168,157,146,132,115,94,68,124,221,218,219,218,217,216,216
21,156,160,165,169,172,174,176,178,180,182,182,183,184,184,186,183,182,182,181,180,180,179,177,178,176,173,173,172,156,161,166,171,172,176,178,180,181,182,185,186,187,188,185,186,188,184,184,182,181,180,179,178,178,175,174,174,158,163,167,171,174,178,180,180,182,185,187,188,190,187,196,152,151,193,185,186,184,182,181,180,179,178,177,175,160,164,169,172,175,179,181,181,184,188,190,190,191,190,214,131,102,197,187,187,185,184,182,181,181,180,178,176,159,165,171,174,177,181,184,185,186,190,192,191,189,194,210,131,116,197,188,189,187,184,186,186,183,181,181,181,162,166,171,177,179,181,184,187,189,191,192,193,189,202,209,127,120,200,189,190,188,157,126,186,186,184,183,182,164,170,173,178,181,183,187,189,190,191,192,195,192,208,208,128,127,202,190,190,184,140,93,182,188,185,184,183,165,170,174,179,183,186,189,190,191,193,195,197,195,210,203,130,131,203,191,190,179,130,110,195,188,188,186,184,164,168,175,179,183,186,189,191,193,196,196,198,194,214,199,128,125,206,193,189,172,113,137,201,189,189,188,185,165,170,176,181,183,188,190,191,195,197,197,199,195,220,199,126,121,206,194,186,167,105,171,198,191,190,189,188,168,172,178,184,186,189,191,193,196,198,199,201,197,230,201,118,135,209,187,180,144,111,196,195,193,192,191,189,169,174,179,183,187,190,192,195,198,198,198,197,205,226,179,105,151,207,181,179,110,133,205,194,193,193,193,191,169,176,180,183,187,191,193,196,197,206,180,143,171,201,143,89,156,204,191,165,97,176,203,196,194,194,193,192,169,177,181,185,189,191,194,198,196,209,178,122,111,105,101,81,166,199,191,133,111,204,199,198,197,196,195,193,170,176,181,185,190,193,196,198,204,201,194,171,148,99,76,103,149,169,164,101,151,212,198,199,199,197,196,195,173,179,183,187,191,194,199,197,219,225,212,229,189,135,77,93,110,128,122,94,189,207,200,201,200,199,198,197,173,178,183,189,192,196,196,209,202,200,208,224,177,115,86,81,95,104,94,119,212,204,204,203,202,201,199,198,174,179,184,190,193,197,196,219,170,158,193,164,170,127,97,84,79,93,81,155,218,204,205,204,203,202,200,199,174,179,185,190,195,199,198,223,199,163,131,99,179,156,108,89,78,84,82,179,216,206,206,206,205,203,201,202,175,180,186,192,195,198,202,223,184,133,108,82,152,176,128,98,87,84,76,178,217,207,207,207,206,204,202,202,175,181,186,192,197,197,208,225,174,155,152,114,183,197,148,126,94,88,76,177,220,206,207,208,207,207,204,202,175,181,187,193,198,196,217,228,186,179,139,162,248,199,154,143,102,92,84,185,220,210,210,209,207,207,206,205,176,182,188,194,199,197,219,230,210,167,147,230,236,183,146,139,110,96,89,190,220,212,211,209,209,208,207,206,177,183,189,195,200,198,218,245,211,159,170,238,217,179,141,127,114,97,101,204,219,213,213,212,211,209,208,207,175,182,189,194,199,197,218,235,181,176,173,235,212,184,163,117,106,97,114,215,215,213,213,213,210,209,209,208,173,181,188,191,195,196,212,211,178,204,163,232,212,174,161,123,103,95,132,220,212,213,212,212,209,207,207,206,174,181,188,192,196,198,207,201,217,211,169,227,196,160,137,116,106,94,147,222,213,215,212,211,210,208,208,206,174,181,189,193,197,200,203,206,220,195,162,210,180,145,117,105,103,91,165,222,214,216,214,212,211,208,209,207
0,158,156,156,157,158,157,157,158,158,158,161,161,157,159,159,159,160,158,158,160,157,157,157,159,159,157,156,156,158,157,158,157,159,160,160,160,160,160,161,161,162,159,158,158,159,156,160,161,158,160,159,160,159,158,159,158,158,159,160,159,159,161,161,159,162,164,160,161,164,162,159,160,160,159,160,160,159,160,159,160,160,158,158,157,160,161,161,161,162,162,160,160,154,145,161,159,157,162,161,155,156,166,164,164,165,160,158,161,161,160,159,159,162,160,161,162,163,162,158,171,153,87,77,129,126,109,136,145,125,110,152,151,150,164,164,160,161,162,160,160,161,161,161,163,162,164,162,166,160,82,8,93,133,66,52,135,118,49,50,109,79,77,120,165,161,160,160,160,163,162,162,162,159,162,156,129,153,99,36,66,119,58,24,109,92,39,24,101,74,24,35,106,169,160,161,161,163,163,164,164,159,156,145,107,122,133,68,30,96,58,15,94,86,24,31,107,69,19,47,69,113,174,159,162,164,164,165,164,161,156,144,115,84,106,72,10,80,54,0,82,106,29,29,115,84,25,60,103,51,136,170,159,165,164,164,164,163,156,140,112,76,62,43,24,75,39,0,93,100,17,47,125,105,81,75,82,51,61,177,159,165,166,166,166,163,154,146,131,102,58,43,38,49,30,5,73,70,56,119,120,109,95,69,46,31,57,173,161,166,167,167,168,163,159,151,142,127,90,46,35,28,47,58,60,96,131,135,127,112,83,67,50,19,82,177,161,167,166,167,169,165,161,157,146,138,123,73,37,39,54,61,98,139,143,141,134,113,78,57,48,16,110,179,163,167,167,168,169,164,160,166,153,149,140,105,69,69,57,76,125,141,150,155,137,106,74,54,42,23,151,173,165,167,169,168,169,166,149,170,164,160,153,131,107,100,79,84,124,137,152,160,137,99,69,53,27,66,178,167,167,169,169,170,169,171,142,160,171,169,159,142,127,117,105,95,118,142,155,148,129,88,62,55,26,130,176,168,167,170,170,169,169,176,144,145,172,173,164,151,137,126,116,108,107,132,152,140,119,79,59,44,44,169,169,169,168,170,170,169,170,174,159,126,164,173,172,158,146,136,125,109,102,115,135,125,99,71,58,26,79,182,167,168,170,170,170,170,170,171,175,126,144,173,174,157,140,136,125,109,102,108,121,111,80,60,51,20,140,176,168,171,170,170,170,171,172,169,176,150,128,174,170,145,133,135,119,114,102,92,102,99,67,54,22,74,178,170,168,171,170,171,171,172,173,171,174,163,140,170,171,149,144,149,127,117,98,81,83,89,66,38,35,157,174,171,171,173,172,171,171,173,174,172,174,167,145,173,176,159,150,159,133,114,97,77,71,79,65,21,116,180,172,173,174,174,174,171,171,173,174,172,175,168,135,170,176,166,154,154,130,111,94,80,67,75,53,31,159,176,174,175,174,174,174,171,170,172,172,172,176,169,130,169,174,167,152,144,127,107,94,83,64,70,43,50,172,169,176,175,175,175,175,170,169,169,170,172,175,166,145,167,174,166,154,141,127,111,92,84,65,63,34,68,187,170,175,175,175,175,175,171,171,169,171,172,174,158,158,168,164,163,149,139,125,111,92,82,62,56,30,87,187,170,173,174,175,175,175,172,172,171,172,173,173,155,154,163,160,161,141,131,122,111,91,76,55,51,27,109,177,169,173,173,173,173,174,172,171,170,172,174,174,152,149,160,164,161,138,120,114,108,92,72,49,45,25,135,175,171,174,174,174,174,174
0,220,221,223,222,222,224,225,225,225,226,224,225,225,224,225,224,225,229,226,225,225,225,225,225,224,224,224,224,222,223,224,224,223,224,225,225,226,228,226,225,226,227,227,233,212,195,224,230,224,231,228,227,228,225,226,227,224,225,225,225,225,225,225,226,227,229,228,228,221,198,215,248,199,168,162,190,181,192,229,209,199,230,227,229,224,225,226,226,228,228,226,227,227,229,232,252,222,186,167,228,205,195,147,123,171,156,176,198,148,234,227,229,225,226,226,227,229,228,229,228,230,208,229,255,219,203,167,230,219,201,159,136,189,169,144,192,146,229,231,230,226,226,227,229,229,230,225,238,250,190,173,249,231,213,167,226,241,208,163,148,204,169,127,176,140,215,236,230,226,226,228,230,230,231,226,254,248,207,177,222,253,214,165,212,251,212,159,152,209,162,112,166,140,165,244,227,227,227,229,230,232,227,245,239,242,221,191,186,255,211,160,192,255,206,151,129,188,154,103,156,160,113,225,235,228,229,230,232,229,236,246,212,248,232,195,159,248,213,160,158,243,191,139,106,160,142,98,158,171,107,198,243,229,230,231,232,229,245,228,189,233,235,196,146,225,210,156,129,209,178,139,105,140,129,98,174,180,116,196,243,230,230,232,231,232,247,230,200,213,219,183,131,190,197,151,108,181,173,140,102,143,125,123,203,194,124,199,245,228,229,230,228,239,237,214,181,180,205,173,125,162,191,147,91,158,175,128,101,162,124,167,220,193,125,203,245,227,228,229,226,240,253,225,190,149,196,170,115,151,191,147,86,157,186,129,173,203,153,171,219,194,127,215,242,226,229,231,228,238,255,230,197,146,147,175,127,141,202,158,93,150,194,192,218,206,183,150,188,191,127,220,240,228,230,231,228,242,255,237,210,176,133,156,152,138,207,177,166,210,218,216,204,192,173,157,140,153,117,219,242,230,231,232,228,242,255,244,218,193,177,165,171,190,203,217,236,235,227,212,201,182,159,151,133,123,111,216,243,229,231,232,229,241,255,248,227,208,199,188,178,192,215,227,233,234,232,214,197,179,154,139,130,119,114,229,241,228,231,233,230,238,251,250,236,223,212,196,189,187,208,223,230,228,225,210,190,176,152,135,126,110,179,246,238,229,231,234,230,230,250,249,248,235,219,200,192,190,207,226,234,225,216,205,188,170,147,131,109,165,243,237,238,220,221,225,227,220,244,250,254,235,220,204,192,191,210,231,231,221,211,202,184,163,141,116,137,241,241,241,241,144,145,148,155,145,225,250,247,232,221,207,194,187,211,226,219,205,196,188,172,151,135,111,188,231,227,232,231,128,130,130,132,112,192,250,229,225,224,214,198,185,207,221,208,191,175,163,153,140,126,126,140,144,142,139,152,135,135,136,139,122,178,245,217,224,227,214,198,184,201,218,202,179,152,140,134,124,129,135,127,123,140,186,226,134,132,133,136,124,169,244,212,226,226,211,200,187,197,212,196,161,131,125,119,134,136,135,150,196,244,254,240,134,132,132,137,127,164,255,224,227,222,205,198,188,185,195,184,144,123,118,126,133,149,213,251,255,252,241,228,131,132,133,135,125,158,255,235,232,219,204,199,194,176,187,177,134,120,117,125,171,247,255,255,255,251,255,248,135,133,133,136,127,156,247,239,236,217,204,201,195,170,181,173,130,112,111,191,254,255,255,255,244,244,255,255,135,133,134,136,126,156,237,237,234,211,200,200,198,166,173,167,129,97,164,255,240,255,254,245,241,246,252,255
13,176,177,179,180,180,182,182,182,182,181,181,181,182,181,180,179,179,178,177,176,175,174,173,172,171,171,170,169,178,179,180,181,182,183,184,185,184,183,183,182,183,182,181,180,179,178,178,178,177,175,174,173,172,171,171,170,180,181,182,183,184,185,185,186,186,185,184,184,184,183,183,182,181,180,180,180,178,177,176,175,174,173,172,172,181,183,184,185,186,186,186,186,186,186,186,185,185,185,185,183,181,180,182,181,180,179,178,177,177,176,174,173,183,184,185,186,187,188,188,188,187,187,188,187,186,186,185,181,166,155,167,178,176,177,179,179,178,178,177,175,184,186,188,188,189,189,190,190,188,187,189,189,182,179,185,175,142,107,117,156,150,143,164,179,180,180,179,177,186,187,189,189,191,192,192,193,181,165,178,185,163,148,171,168,133,94,83,123,123,99,119,169,181,180,179,178,187,188,191,192,192,194,200,201,176,137,145,174,152,128,160,171,134,98,78,113,118,94,89,150,182,181,180,179,189,191,193,194,194,197,214,209,178,135,138,168,146,129,173,188,143,102,92,132,127,97,78,141,183,183,182,181,191,192,194,194,195,203,222,211,181,138,142,170,143,127,181,191,138,99,110,148,123,87,79,149,184,184,183,182,192,194,195,195,199,214,219,200,173,130,138,167,142,111,137,153,116,91,98,116,96,71,87,162,187,186,185,185,193,195,196,197,208,219,202,172,141,107,129,158,133,92,68,85,99,95,94,99,94,78,106,176,188,188,187,186,195,196,197,200,219,221,191,150,113,88,115,134,113,78,52,67,95,101,112,123,123,104,120,180,190,190,189,188,196,197,198,205,230,229,205,167,127,89,103,118,109,107,119,141,151,148,147,140,137,120,111,168,191,192,190,189,197,198,200,212,235,230,213,192,159,119,119,146,163,180,188,188,182,171,159,135,121,111,99,149,192,194,192,191,199,200,201,217,236,229,217,200,175,157,162,187,202,202,197,189,180,167,151,131,113,105,94,132,190,195,194,192,201,201,202,219,235,229,217,202,183,178,187,201,209,202,195,187,176,160,143,128,112,102,89,123,188,196,194,193,201,201,203,219,233,227,216,200,184,181,190,200,208,201,193,184,167,149,134,120,103,91,87,139,191,196,195,194,201,202,204,216,229,223,210,191,177,176,186,194,197,194,187,173,155,138,122,105,87,78,116,178,196,197,196,195,202,201,200,210,219,213,196,178,170,178,185,187,183,181,174,159,142,123,104,86,73,98,167,197,199,198,197,196,201,174,149,181,207,204,193,182,176,181,186,180,169,161,153,137,118,98,83,77,102,160,196,201,200,199,198,196,184,129,88,121,186,206,205,197,182,175,179,168,148,135,130,112,92,82,97,132,174,198,203,202,201,200,199,198,142,97,82,85,127,180,198,193,176,164,165,151,127,114,106,87,84,118,169,195,203,204,204,203,202,201,200,199,102,83,79,78,82,107,139,145,140,137,143,128,108,95,82,87,138,186,204,206,206,206,205,204,203,202,201,200,87,79,75,75,73,55,59,72,74,76,83,82,75,67,68,133,196,209,208,208,207,207,205,205,204,203,202,201,80,75,72,71,74,54,32,45,49,45,44,42,41,40,53,136,202,211,209,209,208,207,206,206,205,203,202,201,76,73,69,67,71,57,25,34,42,39,37,34,32,26,26,94,192,210,209,209,208,206,206,206,205,203,202,201,75,71,68,63,68,55,21,27,37,36,35,32,30,23,29,122,201,209,209,208,207,206,205,205,204,202,201,200
16,109,110,111,111,112,123,134,144,152,160,167,173,175,176,179,184,188,192,196,199,203,206,207,210,212,214,217,219,108,109,111,111,112,124,134,144,153,159,168,173,174,176,178,182,187,192,196,201,203,206,208,211,213,214,217,219,108,108,110,110,111,123,134,144,151,159,167,172,174,173,178,181,184,190,195,199,201,205,206,210,213,215,217,218,107,107,111,110,112,124,133,143,153,161,168,172,173,174,174,183,189,190,193,198,201,204,205,209,213,214,217,219,107,107,110,110,113,124,134,143,152,157,164,166,189,194,165,151,172,195,200,197,200,204,208,210,213,215,218,220,107,107,108,108,112,123,133,144,147,167,176,191,211,191,167,144,123,135,173,202,206,205,207,210,214,216,218,219,106,106,108,106,111,121,134,134,166,220,207,209,197,169,152,149,131,111,103,136,182,202,211,214,213,214,217,218,106,107,107,107,110,123,130,138,216,215,195,186,178,161,145,130,129,121,108,102,108,131,158,186,211,220,217,218,104,106,107,105,110,119,129,211,216,182,174,168,157,148,129,119,123,128,114,112,107,102,103,111,142,189,219,223,103,105,107,104,110,106,171,220,180,169,160,147,135,124,117,118,111,134,122,118,113,107,103,101,100,112,154,205,98,98,99,98,100,155,186,175,163,156,139,125,117,110,115,104,103,130,129,137,117,111,103,100,102,102,98,119,144,139,141,135,164,206,167,157,150,132,118,112,102,105,110,82,105,133,137,139,121,115,102,100,99,102,104,98,136,140,140,138,223,206,171,144,123,115,109,98,94,106,90,69,118,134,138,141,126,118,106,104,98,99,101,102,133,137,121,169,226,192,156,124,100,97,90,85,95,89,59,68,122,131,136,151,140,129,113,107,97,97,100,99,142,137,145,217,200,172,129,104,88,93,78,68,64,55,47,55,119,127,142,165,157,139,125,100,95,99,98,95,143,128,190,199,166,139,108,91,84,86,62,47,45,43,45,46,107,129,148,175,147,143,133,95,94,96,95,93,134,158,210,172,132,107,93,87,88,86,70,44,40,42,42,40,84,122,168,165,124,145,132,92,94,91,94,93,134,206,194,145,107,84,84,89,93,94,95,78,45,48,53,55,51,142,186,141,116,136,115,91,94,92,93,90,174,195,150,112,93,111,96,95,98,100,99,92,74,76,77,63,89,192,164,123,112,112,95,91,91,92,89,87,201,148,113,82,118,137,110,119,110,107,102,93,88,88,84,69,167,184,144,112,100,93,87,92,90,88,90,94,159,115,83,104,134,116,115,115,113,107,102,94,87,86,67,113,203,167,127,98,90,85,86,88,84,89,96,96,119,89,106,139,139,134,132,117,105,99,103,90,89,101,106,174,204,170,108,88,85,87,89,87,88,94,93,93,123,124,138,139,141,141,140,140,132,127,133,129,132,141,135,204,207,175,104,73,80,93,91,89,91,92,94,94,142,140,138,138,140,141,140,142,141,143,141,143,143,141,137,206,212,179,116,80,122,106,101,97,95,97,96,97,139,137,138,139,140,140,140,140,139,140,141,141,141,143,133,182,197,166,108,126,167,116,110,110,108,107,100,97,138,139,137,139,141,139,139,140,140,141,140,141,142,144,137,150,173,136,105,133,175,156,122,115,119,120,111,100,139,139,138,138,140,140,139,139,140,140,139,139,143,142,140,141,146,122,119,135,156,189,154,140,136,135,125,114,138,139,139,139,140,140,140,140,140,140,140,141,143,142,142,142,142,141,142,138,139,200,177,161,152,144,135,123
16,114,112,110,108,109,111,110,113,113,118,130,139,149,156,163,170,172,175,178,179,184,190,193,197,201,204,207,209,114,112,110,108,109,109,110,112,111,118,130,139,148,155,162,170,174,173,176,181,185,187,193,197,200,203,206,208,113,111,109,107,108,109,110,110,110,118,128,137,147,155,163,168,171,190,176,158,176,193,195,193,199,202,205,208,113,110,108,107,108,108,109,110,109,118,128,137,147,153,163,168,199,205,177,151,131,144,180,202,200,201,204,207,114,110,107,107,108,108,108,108,109,117,129,141,139,188,204,201,206,183,159,153,137,113,110,152,199,209,207,208,112,110,108,107,108,108,108,107,109,116,130,127,160,224,201,189,184,168,152,137,130,126,111,98,122,170,194,208,111,110,109,106,107,106,107,108,107,117,121,145,212,197,175,172,163,155,141,121,125,128,118,111,104,103,120,145,111,110,107,106,107,106,107,107,109,112,125,200,197,171,166,155,139,132,121,119,116,128,129,114,115,108,104,102,110,107,106,105,106,103,106,109,101,132,180,182,164,159,145,130,122,113,115,117,99,129,128,135,119,112,107,103,108,106,105,104,106,104,106,100,115,208,183,157,152,139,121,115,108,103,113,102,91,136,131,146,125,117,107,100,105,103,99,100,100,100,105,83,183,223,179,151,126,116,112,105,95,104,105,79,97,141,134,144,129,119,106,101,160,156,154,150,145,143,135,144,222,203,167,132,106,97,95,90,95,103,80,64,110,138,133,150,137,129,113,109,142,140,139,137,137,137,132,208,205,179,141,111,93,90,87,74,78,70,56,53,110,132,134,162,157,140,123,110,135,135,135,136,136,125,161,206,171,146,116,98,87,91,78,56,51,45,48,45,99,133,141,170,159,142,135,105,140,140,140,141,137,140,208,183,143,111,100,91,88,90,76,50,42,44,47,42,79,123,151,175,136,140,140,99,140,142,141,143,129,183,207,153,116,89,87,91,95,96,96,82,49,45,48,51,49,120,181,154,117,134,128,92,141,143,146,135,155,198,159,121,91,112,101,94,99,102,100,100,75,70,75,66,69,176,174,130,112,116,104,92,140,143,140,143,199,162,121,89,107,153,118,119,115,110,106,98,90,88,90,70,150,188,147,116,104,99,91,92,142,142,132,190,180,122,90,94,139,128,113,117,119,111,108,101,92,93,73,103,204,169,128,100,94,88,89,93,142,143,138,172,137,94,97,135,141,130,133,120,106,98,100,94,88,92,86,164,207,170,107,89,87,85,91,90,140,142,142,141,131,127,138,141,142,143,140,135,127,113,123,122,119,132,134,206,206,175,106,77,83,98,95,89,139,141,141,141,142,143,141,140,141,141,141,143,144,144,144,143,144,144,137,209,210,175,115,77,112,103,95,93,137,140,141,140,140,140,140,139,141,142,141,142,142,142,142,141,141,143,134,186,195,165,106,121,166,116,111,108,136,139,140,140,140,140,140,140,141,141,142,142,142,142,142,142,142,144,138,155,171,131,106,139,171,143,118,119,137,138,139,140,140,139,140,140,140,141,140,141,142,142,142,142,142,142,142,142,146,124,125,137,160,185,142,130,137,138,138,140,140,139,139,139,140,141,141,142,142,142,142,142,142,142,141,142,142,143,144,140,140,196,172,155,136,137,139,140,139,139,139,139,140,141,140,141,141,141,141,142,143,143,142,142,141,141,143,145,132,189,195,171,138,137,139,139,138,138,139,139,140,140,139,139,140,140,140,140,142,142,141,141,143,141,143,145,129,176,207,182
1,163,164,164,164,165,164,164,165,164,162,162,163,161,159,157,155,154,157,153,153,152,151,148,146,153,89,19,12,163,164,166,165,167,167,166,166,165,164,163,163,162,159,160,164,154,131,153,155,153,153,151,147,154,61,14,16,165,166,168,168,168,169,168,167,167,167,165,163,163,163,148,138,161,90,125,163,156,153,153,149,155,45,20,18,167,169,169,170,171,170,169,169,169,169,166,165,164,167,145,70,121,96,86,127,131,159,152,150,155,71,19,7,169,169,171,172,171,172,170,170,171,169,167,163,159,177,142,66,89,91,83,125,76,154,155,151,160,71,13,10,171,171,172,173,174,174,171,170,171,169,170,160,106,123,132,57,108,107,83,133,63,138,160,151,161,80,5,12,171,172,175,175,175,175,174,173,172,170,176,151,80,78,138,59,109,122,64,116,59,129,163,153,160,120,62,76,172,175,175,176,175,175,176,175,175,172,178,144,72,84,129,59,82,101,66,136,68,119,166,155,159,130,136,141,174,176,177,177,177,177,178,176,175,174,185,149,83,74,104,53,81,82,69,143,76,102,169,157,159,130,126,97,175,177,178,178,178,179,178,178,177,176,190,135,79,79,105,56,105,94,66,126,71,99,171,158,160,143,126,78,177,178,180,181,180,180,180,179,179,177,186,134,76,95,123,62,92,96,62,121,70,104,172,160,160,154,136,120,178,179,182,182,182,181,182,181,179,182,191,140,102,71,97,45,67,66,82,135,81,104,173,160,161,159,141,133,179,181,182,182,182,182,182,182,179,185,180,132,84,50,51,38,63,35,82,127,78,97,174,161,162,160,155,129,180,182,184,184,184,183,183,183,181,187,173,132,110,105,87,82,62,65,91,100,56,109,177,162,163,161,161,148,182,183,183,184,184,184,184,185,180,197,185,149,141,113,161,111,109,103,127,96,41,146,173,166,164,162,161,161,183,184,184,186,187,186,186,186,183,208,174,143,116,81,134,135,137,123,116,94,64,162,170,167,165,163,162,160,183,185,186,188,188,188,188,187,189,206,164,117,93,69,50,106,132,110,122,116,68,128,178,167,166,163,162,160,185,186,187,190,189,189,190,187,193,211,171,133,106,67,52,46,78,92,150,141,83,87,180,166,167,165,163,161,187,188,188,189,191,190,191,188,196,206,170,148,101,78,72,47,129,118,125,162,109,56,156,173,167,167,166,162,188,189,190,191,191,192,192,189,198,200,170,150,88,86,59,99,173,153,125,137,119,50,107,182,166,168,165,162,188,190,192,192,192,192,193,190,197,197,177,151,84,90,69,152,175,155,133,105,96,61,83,182,168,168,165,163,190,192,192,193,194,193,194,192,196,196,178,135,94,77,96,179,173,151,119,106,74,45,117,181,168,169,167,163,191,192,193,194,194,195,196,193,197,193,172,130,113,64,119,181,161,139,109,94,72,42,163,177,170,169,166,167,191,192,193,195,194,194,194,192,192,186,166,138,121,67,136,176,148,127,106,86,47,79,186,173,172,170,168,169,189,191,192,192,191,192,191,190,187,181,162,146,126,77,138,162,133,119,102,71,33,147,182,171,170,167,168,166,190,192,193,194,194,197,200,190,185,184,160,152,124,75,128,144,119,106,88,36,82,186,174,173,172,176,179,120,192,194,194,194,199,185,167,197,178,170,163,152,96,71,106,119,99,84,47,51,174,178,178,180,169,150,102,41,191,193,194,193,207,131,42,97,138,142,137,109,65,70,86,96,76,53,27,147,188,178,163,106,59,30,21,29
12,115,116,118,120,120,122,122,123,128,129,127,132,135,132,131,132,135,135,134,136,133,134,134,134,134,133,134,136,115,118,119,121,122,123,122,125,128,124,129,121,115,133,135,126,113,123,136,134,135,136,136,135,135,135,136,136,118,118,120,121,122,123,124,128,125,151,155,110,71,76,152,124,91,63,128,143,139,138,138,137,135,135,136,136,118,120,120,121,124,125,129,122,149,191,162,102,85,48,142,116,95,64,70,97,110,137,137,136,137,137,138,137,117,120,121,122,124,125,127,124,171,153,153,120,123,53,111,134,111,67,39,79,57,70,141,138,140,141,140,139,120,121,122,124,124,127,126,132,183,123,134,138,113,58,97,147,118,58,51,92,74,22,114,149,139,141,141,140,121,122,124,126,129,129,127,144,191,122,139,111,77,33,20,106,79,41,66,110,84,38,108,149,139,141,141,139,122,124,126,128,126,132,120,112,156,74,127,118,89,43,0,31,24,6,128,129,82,39,128,145,141,143,142,140,123,124,127,125,132,157,125,89,71,55,90,123,114,113,90,81,61,15,93,97,52,38,144,142,144,144,142,141,124,127,129,121,169,177,136,107,59,57,85,94,91,114,120,118,118,67,12,23,24,62,154,143,144,143,142,141,125,131,122,148,177,169,152,117,74,58,97,80,50,78,83,121,146,111,56,1,8,97,156,143,144,143,141,141,126,130,122,182,151,151,159,126,84,53,53,67,45,48,59,136,149,137,108,35,7,125,152,146,145,143,142,141,126,123,146,176,117,103,146,130,98,67,41,54,44,62,87,134,143,145,134,79,27,139,149,148,145,144,144,143,126,122,166,161,136,108,102,138,104,66,42,56,42,58,70,121,151,138,140,114,49,141,150,147,145,145,145,144,126,123,177,168,147,112,66,121,114,66,44,41,44,61,89,107,125,145,122,128,62,114,157,144,148,146,146,147,125,126,170,136,102,77,47,66,129,84,73,32,59,63,114,145,129,129,114,104,81,67,158,146,148,148,149,149,125,128,181,151,125,99,77,55,101,112,113,58,68,89,145,151,147,126,104,88,78,52,155,149,148,149,148,148,129,129,187,163,131,106,92,67,62,96,87,73,85,137,164,154,146,125,103,81,55,70,159,147,150,149,149,149,130,132,189,165,137,117,101,70,66,98,62,78,118,164,165,153,142,124,106,81,40,90,162,148,150,150,149,149,129,135,194,169,144,127,110,78,70,109,84,112,156,177,164,150,135,121,105,80,33,106,161,149,150,150,149,149,128,141,201,169,144,133,118,97,74,100,105,129,175,178,164,147,129,119,102,74,29,126,156,150,150,150,149,149,125,144,203,171,151,137,120,114,88,95,119,130,185,172,157,143,128,119,94,64,38,143,155,151,152,151,150,150,126,141,197,176,162,141,127,119,106,90,127,129,186,166,148,140,128,115,90,54,50,153,150,151,152,152,150,151,132,134,183,181,170,151,135,128,119,95,124,131,179,164,137,131,125,109,88,43,75,162,149,153,152,151,151,150,133,129,172,187,169,155,140,135,123,100,110,127,170,159,134,128,123,98,82,32,111,160,148,153,154,152,151,151,133,127,162,193,171,160,147,136,122,106,105,112,157,156,130,124,116,98,73,37,139,156,152,152,154,153,152,152,133,128,150,198,176,159,146,131,115,108,108,106,138,145,119,114,111,102,53,61,160,149,153,154,153,152,152,152,133,127,154,203,171,150,141,127,113,103,108,108,126,133,113,107,111,94,37,104,163,150,153,154,152,152,154,151
8,167,168,169,170,170,170,174,171,171,170,169,169,168,169,168,166,165,164,164,163,162,160,160,158,155,155,153,152,169,170,171,172,172,167,156,173,173,172,171,170,170,170,168,167,166,165,165,165,164,162,160,159,157,155,154,153,171,171,173,172,176,164,102,156,180,174,175,172,171,171,169,169,168,166,165,165,165,163,162,160,158,156,156,156,172,173,174,173,178,148,93,141,184,175,175,173,173,173,171,170,170,169,168,167,166,165,163,162,160,157,157,156,172,174,176,175,179,147,86,145,186,176,177,174,174,174,173,173,172,171,170,168,167,165,164,164,162,158,158,157,174,175,176,177,178,143,79,156,184,177,178,179,178,175,174,173,173,171,173,174,166,167,166,165,163,160,160,159,176,177,178,178,181,144,79,154,186,179,179,168,177,180,177,179,174,137,114,149,147,140,171,165,165,164,162,160,177,178,179,179,183,159,89,143,190,181,163,125,116,173,148,125,142,139,105,83,130,110,172,166,165,164,163,161,178,179,179,180,183,155,83,130,194,173,157,143,108,122,137,101,93,146,126,80,95,103,157,173,166,165,164,163,178,180,181,182,183,157,106,111,191,168,164,157,122,101,139,114,99,146,117,81,74,97,106,174,168,166,165,164,179,182,183,184,183,176,145,105,178,171,160,166,128,89,130,127,94,129,107,76,62,105,85,126,176,166,166,165,180,182,182,183,184,182,150,110,149,152,137,163,131,91,111,133,86,114,138,94,62,108,88,101,179,167,167,166,181,182,183,184,185,186,157,148,140,141,117,149,132,88,89,132,89,108,157,96,74,122,81,125,180,167,169,167,183,184,185,186,186,188,182,165,135,125,118,134,134,93,79,112,86,52,97,68,92,123,76,152,177,170,170,167,184,184,185,186,187,187,186,150,121,99,96,113,146,130,78,62,63,70,60,99,135,111,84,172,173,172,170,169,185,184,185,187,188,189,183,149,128,103,89,91,152,140,96,63,105,146,140,131,140,91,98,184,172,171,170,168,184,185,187,188,189,189,189,169,140,107,92,91,129,123,89,98,150,148,148,119,109,73,121,186,173,172,170,169,183,185,189,189,190,190,188,172,143,114,96,91,119,136,137,156,165,143,137,110,85,68,163,181,175,173,171,170,184,186,188,189,190,190,187,176,150,125,105,92,123,169,177,174,161,137,127,104,59,115,188,176,176,174,173,171,185,186,189,190,191,192,184,174,155,128,106,101,136,177,169,166,149,128,115,88,69,175,182,177,176,175,173,172,186,188,188,190,191,191,179,169,161,132,111,112,146,169,167,161,138,122,107,65,127,191,179,178,177,176,174,172,187,188,189,191,192,193,181,173,165,136,120,115,151,162,166,152,128,113,87,75,182,184,180,179,178,177,175,173,188,189,190,192,193,194,189,178,170,144,124,112,147,155,152,137,115,101,60,135,194,181,181,180,179,178,176,174,187,189,191,192,192,195,192,184,169,145,126,116,137,146,136,121,102,71,84,189,185,185,182,181,180,178,175,173,188,190,191,192,193,194,193,182,162,142,128,122,128,140,127,111,89,62,169,191,184,184,181,181,179,178,177,175,189,191,192,192,192,194,193,183,163,150,141,136,126,135,121,104,64,134,199,185,185,184,183,181,178,178,177,175,188,190,192,194,194,192,190,187,169,163,148,141,131,129,109,81,86,192,189,188,186,185,183,181,178,178,177,174,189,191,193,193,195,187,183,189,172,167,145,141,131,113,99,67,136,200,188,189,186,184,184,183,181,179,178,176
4,197,200,201,201,202,203,205,205,204,204,207,206,206,207,207,207,206,205,206,207,206,206,206,205,206,207,205,204,200,202,202,203,203,205,206,206,207,207,207,207,208,208,209,208,210,213,208,208,208,208,209,209,208,208,208,207,203,204,203,205,207,207,209,208,209,208,208,207,207,210,214,200,175,186,213,210,212,209,210,211,210,210,210,210,204,204,205,207,208,209,210,210,208,208,211,192,174,187,241,211,174,122,202,217,212,217,210,213,212,210,211,212,207,206,208,210,210,211,210,212,212,216,243,209,199,160,233,224,187,141,149,188,173,187,220,213,215,212,214,214,209,210,209,212,213,212,211,210,200,204,241,240,199,163,192,237,183,151,95,178,171,125,192,222,215,217,216,216,210,211,211,214,216,213,214,223,216,203,168,227,219,173,163,239,191,150,89,183,184,133,122,226,218,219,219,219,210,212,214,215,217,213,220,240,230,217,136,140,226,165,135,237,202,146,82,183,188,140,99,215,222,220,220,221,213,215,215,216,217,214,226,216,208,199,126,111,189,162,130,190,175,121,84,190,184,133,95,213,226,222,222,222,215,217,218,219,219,217,227,217,187,199,122,92,188,173,146,148,128,85,79,187,164,105,108,224,225,223,223,223,215,217,218,220,221,217,222,226,176,188,142,98,169,188,182,164,164,133,90,145,133,94,112,232,223,226,225,224,216,217,219,220,223,221,223,241,216,174,156,104,116,202,212,214,200,181,128,94,112,91,130,238,224,228,226,227,219,219,222,222,224,224,224,241,220,181,134,88,82,163,206,213,212,178,129,85,92,84,152,242,225,227,227,228,219,220,223,225,226,222,227,239,197,154,133,111,89,76,140,196,200,170,134,101,90,82,168,243,227,229,229,229,221,223,225,225,224,221,230,231,191,156,130,111,93,91,96,127,178,177,156,115,95,76,173,241,227,230,230,229,222,223,225,226,225,224,232,240,209,171,142,125,111,103,127,108,176,208,175,134,106,75,184,242,230,232,231,230,223,224,225,226,227,225,235,238,208,157,129,123,111,99,134,179,222,226,204,160,122,79,173,246,230,232,232,231,223,225,225,226,227,226,237,237,199,163,137,122,130,116,162,225,241,230,223,175,134,97,126,246,231,234,234,233,225,226,227,227,229,229,237,233,202,165,146,134,158,129,194,244,248,227,202,165,135,104,129,247,233,235,234,235,225,225,227,228,230,230,238,230,204,169,156,159,157,147,219,245,239,221,194,150,130,95,158,250,235,237,235,235,226,227,229,230,230,229,233,229,202,177,166,164,152,154,227,244,224,197,181,135,115,89,192,246,236,237,235,235,227,228,230,230,230,231,230,225,196,173,154,177,150,155,227,240,208,176,161,124,104,98,225,241,236,237,234,235,226,229,231,230,233,233,229,220,201,173,178,197,145,156,234,228,194,162,141,114,99,127,246,237,239,239,238,238,227,230,231,230,234,235,231,215,202,184,176,196,154,156,235,201,178,149,125,109,91,173,251,238,240,240,240,240,227,229,229,230,232,234,233,221,208,189,172,190,158,162,220,184,163,131,115,107,94,215,247,240,241,240,239,240,226,226,227,228,231,231,224,236,220,190,172,169,149,144,208,175,142,124,110,102,113,238,240,240,241,240,240,241,227,228,227,229,232,222,226,245,218,187,169,148,128,136,182,151,123,116,110,90,167,247,239,240,240,240,240,240,227,229,229,231,232,218,239,235,216,201,174,136,131,151,176,121,123,109,103,117,230,242,240,240,240,239,240,239
19,166,167,168,170,172,173,172,172,173,172,172,172,171,171,170,170,169,167,166,167,166,166,165,164,164,163,161,160,167,168,170,171,172,173,173,173,174,174,174,173,172,172,171,171,170,168,167,167,167,166,166,165,165,164,164,162,168,170,171,172,173,174,174,175,175,175,175,174,174,173,173,171,171,170,169,169,169,168,167,167,167,166,165,165,170,171,172,173,174,175,176,176,176,175,176,175,174,174,174,173,172,171,171,170,170,170,169,168,168,166,166,166,171,172,173,174,176,177,178,178,178,178,179,177,176,176,175,174,172,172,172,172,171,171,170,169,167,167,166,166,171,173,174,175,177,179,179,179,179,179,179,179,179,177,175,175,174,173,173,174,173,172,170,170,169,168,167,167,172,174,176,178,179,179,181,181,181,181,180,179,179,178,177,178,176,175,175,174,174,173,171,171,170,169,168,168,174,177,178,179,180,181,182,181,182,182,181,180,180,179,178,178,178,177,177,176,175,174,173,173,171,170,170,169,176,178,179,180,182,182,183,183,184,183,182,181,180,180,176,164,166,176,173,172,173,172,170,170,170,151,166,170,176,178,179,181,182,182,183,183,183,179,179,181,181,182,179,165,169,179,170,169,175,170,168,164,152,111,156,172,177,180,180,181,184,185,184,186,186,166,158,163,171,173,169,164,166,168,161,166,179,169,152,133,117,132,168,173,179,180,181,182,185,185,184,183,168,159,164,166,165,167,161,149,127,123,122,129,149,141,136,139,155,171,174,174,180,181,181,183,184,182,189,191,177,177,180,174,163,153,132,123,110,90,93,134,166,169,175,177,177,177,175,175,181,182,183,184,185,181,210,213,196,184,179,173,165,147,112,88,97,86,91,160,183,180,180,178,178,177,176,175,182,182,183,186,187,182,214,211,182,157,140,137,138,134,109,89,96,89,102,174,183,180,180,179,179,179,178,177,183,184,185,186,188,181,202,198,165,129,112,88,97,136,116,95,98,91,112,179,183,181,181,180,180,180,179,178,183,185,186,187,189,178,194,194,157,115,87,70,109,142,117,99,100,93,126,184,184,184,183,182,181,179,178,178,184,186,187,188,190,176,194,196,166,132,97,79,107,110,99,97,96,98,118,184,186,185,184,183,182,180,179,178,185,187,187,188,190,174,193,198,170,139,113,91,69,59,60,72,84,94,102,177,187,185,184,184,183,181,180,180,186,188,188,189,191,171,191,197,171,141,116,105,90,71,65,73,85,90,97,169,188,187,186,185,184,182,181,181,187,188,188,190,192,173,185,193,168,140,116,107,104,89,83,87,93,97,101,169,189,187,187,185,185,184,183,183,186,188,189,190,193,175,183,191,165,138,118,109,107,93,88,92,98,101,109,176,189,188,187,186,186,186,186,184,187,189,189,192,195,180,184,188,162,136,118,108,106,96,93,96,102,103,125,186,189,188,188,188,187,187,186,184,187,189,190,192,195,180,189,187,157,133,117,107,106,103,101,103,108,109,156,192,191,189,189,189,188,186,186,184,188,189,191,193,193,180,195,190,161,137,121,108,106,110,108,111,112,132,184,193,193,192,190,190,188,187,187,186,188,189,191,193,192,178,197,187,166,144,123,109,106,112,112,116,140,178,194,194,193,193,192,191,189,188,186,186,187,188,190,192,189,182,194,180,159,144,124,110,110,110,109,146,187,193,193,193,192,191,189,189,189,188,186,185,187,188,190,192,188,194,194,180,156,138,124,111,109,105,111,169,193,192,192,192,192,190,189,189,188,186,185,185
12,106,121,133,140,144,151,160,167,170,174,178,183,187,191,194,197,200,201,204,206,207,209,208,210,212,213,214,214,109,124,136,142,146,155,163,169,172,176,181,184,189,194,198,199,202,210,211,208,208,212,213,213,216,217,215,216,112,126,140,143,147,157,166,172,175,179,184,188,192,196,198,202,204,184,195,217,211,213,216,222,215,218,218,218,114,129,142,145,150,159,167,174,177,182,186,191,195,201,206,211,216,144,108,185,224,183,137,187,226,217,220,220,116,131,142,147,152,162,169,175,180,184,188,193,199,186,162,222,224,156,112,104,165,174,116,97,205,225,221,222,117,133,145,149,154,164,172,177,183,186,190,192,222,176,112,122,213,184,140,98,100,175,144,90,149,238,221,223,120,135,147,151,157,166,173,179,184,191,189,208,234,178,136,93,180,215,154,121,92,162,161,111,124,238,225,227,122,137,149,153,159,168,175,181,186,191,194,223,218,206,163,130,140,228,179,127,84,130,161,119,110,234,227,229,125,140,151,154,161,171,176,183,189,190,208,210,183,228,192,148,105,194,203,132,85,93,141,116,94,229,232,231,127,142,152,156,163,173,179,184,187,190,236,171,162,222,205,147,103,143,205,130,88,74,128,102,86,228,234,233,129,144,154,158,165,174,180,184,172,165,194,164,148,190,200,159,114,96,177,124,88,70,110,98,90,231,235,234,131,145,154,158,165,172,192,209,195,190,186,155,103,86,183,156,101,67,145,130,90,68,102,100,99,236,235,236,133,146,155,158,167,171,203,232,222,226,213,129,90,38,130,128,84,53,108,148,127,74,117,117,115,246,234,237,135,149,156,160,170,171,212,227,186,188,170,102,89,46,77,111,94,41,74,185,149,86,121,137,83,210,244,237,137,151,157,161,170,174,206,208,169,141,164,128,97,57,42,112,104,57,103,178,158,94,97,126,62,160,252,236,139,152,158,163,171,177,198,182,148,108,140,161,93,70,40,80,82,104,173,170,148,93,79,94,74,186,250,238,138,151,159,162,172,177,196,204,172,134,111,161,98,80,58,65,106,164,185,174,153,124,101,87,104,234,245,248,139,151,157,160,170,177,200,206,171,142,114,136,108,81,64,76,151,182,184,183,171,139,110,74,166,255,236,216,141,153,157,161,172,177,202,202,185,172,122,105,125,108,87,96,188,191,189,196,165,130,100,92,230,212,198,157,141,152,158,162,173,179,199,200,195,180,118,118,150,131,100,117,202,199,206,188,141,119,91,126,224,124,130,195,141,152,158,164,172,180,195,194,188,185,119,134,149,124,129,179,210,209,200,162,122,107,89,121,123,141,111,128,140,152,157,163,172,181,188,183,188,178,130,141,151,129,167,190,211,201,179,139,107,92,108,170,121,156,121,112,141,152,157,163,173,183,191,190,195,173,137,145,152,127,168,176,197,188,162,122,99,80,144,206,135,101,161,208,116,122,125,128,133,138,140,163,189,171,148,152,147,129,159,178,176,169,135,103,84,113,126,132,134,122,169,157,111,113,112,113,116,115,109,124,190,172,154,150,141,135,143,168,161,129,105,88,87,128,199,159,150,158,125,151,116,115,118,120,121,123,125,120,187,194,165,147,143,141,139,156,144,108,90,91,172,194,247,221,222,180,154,206,116,117,117,119,120,120,122,118,170,181,161,141,134,128,130,141,125,100,73,123,244,213,185,188,196,164,129,140,116,118,119,121,122,121,124,120,174,178,125,112,111,113,123,122,103,88,67,112,238,196,195,212,238,204,148,121
5,112,117,120,122,126,131,134,137,139,141,141,144,146,146,147,148,149,149,148,148,148,147,147,147,145,144,144,143,112,117,120,122,128,132,136,138,138,150,147,116,149,148,149,149,150,150,150,150,149,148,147,147,146,146,146,145,113,119,122,124,129,134,138,140,135,167,143,105,149,150,150,150,151,151,151,152,150,150,149,149,149,147,147,146,114,120,122,125,130,134,137,139,144,183,109,122,153,150,151,152,152,152,151,149,151,148,150,150,149,148,147,146,115,120,123,124,130,136,140,136,166,183,95,140,153,151,152,153,153,151,152,161,172,115,134,154,150,150,148,147,116,122,121,136,133,131,142,134,183,173,101,148,153,153,153,156,152,156,182,170,137,106,144,154,151,150,149,148,117,124,116,166,141,105,146,138,195,157,107,153,153,154,156,153,162,196,173,112,112,149,155,152,153,151,150,149,117,125,117,170,135,102,146,144,201,142,109,157,154,156,154,162,195,177,121,107,151,158,154,153,153,152,151,151,119,126,121,183,124,110,146,152,200,131,104,159,154,155,163,191,165,116,113,155,160,156,156,155,154,154,152,151,120,126,124,182,131,105,146,157,192,143,99,153,157,157,185,174,109,104,155,161,158,157,156,156,155,155,154,152,120,128,122,173,156,99,145,153,190,145,93,149,161,165,176,136,96,140,165,157,159,159,158,157,157,156,155,154,122,129,124,158,177,104,116,150,183,144,83,131,158,148,134,107,120,162,157,159,161,160,159,158,154,155,156,155,123,128,126,144,181,144,127,117,160,162,109,93,110,113,102,108,153,153,180,184,181,177,171,161,112,130,165,154,124,129,131,136,155,166,160,136,135,151,115,94,94,100,100,126,141,163,158,147,156,171,160,146,121,98,146,160,124,130,131,136,140,147,164,175,178,157,117,91,91,94,110,114,115,131,103,97,166,177,143,121,108,103,143,162,125,129,130,136,144,144,148,181,199,179,129,91,92,91,100,108,102,87,113,159,187,148,106,117,149,160,162,159,126,130,132,137,143,150,149,165,196,189,141,95,89,87,92,99,85,120,174,168,165,112,102,163,167,162,162,161,127,131,133,139,144,149,154,153,185,199,161,109,86,87,85,84,75,124,151,155,163,107,129,172,163,163,163,162,128,131,133,140,145,149,155,153,179,203,175,129,91,83,82,89,100,121,129,151,154,103,145,171,165,165,164,162,127,131,133,140,144,147,153,154,166,207,187,151,104,82,84,92,102,129,143,139,142,103,152,171,165,165,164,163,127,131,133,138,144,149,152,154,163,208,198,169,123,86,85,91,112,140,142,123,116,95,156,170,166,164,164,163,127,131,133,139,145,151,155,155,162,207,199,178,138,96,83,97,123,144,136,109,96,117,170,168,168,165,164,164,128,133,133,140,145,150,154,156,161,201,201,180,154,111,88,90,127,138,130,100,97,163,172,169,168,166,165,164,127,132,133,139,144,150,153,156,158,190,203,183,164,128,101,88,117,132,119,95,109,173,168,168,167,166,164,164,126,131,134,140,146,151,156,161,160,183,198,192,174,149,115,95,98,119,109,92,140,180,172,173,173,170,169,170,120,123,126,129,131,135,137,141,136,176,204,202,182,155,120,102,96,107,99,97,137,144,141,141,141,141,142,133,93,94,94,95,93,92,92,96,83,163,214,200,179,143,115,104,98,99,99,94,86,85,83,84,85,82,79,123,98,99,99,98,99,97,99,103,89,160,209,192,161,120,107,101,99,101,97,92,92,92,91,91,88,94,158,190
6,191,193,195,197,198,197,197,198,198,199,200,200,200,200,200,200,200,199,198,195,196,194,194,193,190,189,188,187,194,195,195,198,198,199,199,199,199,201,202,202,201,201,201,201,201,200,200,198,197,197,196,194,193,191,191,191,195,195,197,198,200,201,201,201,201,202,202,201,200,203,204,204,203,202,202,201,200,200,197,197,196,193,193,193,196,198,200,200,201,203,204,202,201,202,202,203,203,204,204,204,203,202,202,201,200,200,199,199,197,196,195,193,200,200,201,201,203,203,204,204,204,203,204,205,205,206,206,206,206,206,205,204,202,202,199,200,198,196,195,193,201,202,202,204,205,204,205,206,207,207,207,207,206,206,206,207,207,208,206,206,203,203,202,201,201,200,198,197,201,202,205,206,207,208,208,208,207,206,209,209,208,208,209,209,209,209,208,207,205,204,202,200,200,199,198,199,203,205,206,205,207,209,210,210,209,209,210,211,210,210,209,210,210,210,210,210,206,205,206,204,203,202,201,201,204,206,207,208,207,210,210,210,210,210,211,212,210,210,211,210,209,208,209,208,207,205,205,204,201,201,199,199,207,207,209,209,209,210,210,213,214,217,218,213,203,184,195,206,207,203,204,204,204,197,199,196,194,200,185,224,206,208,210,212,213,215,215,216,211,209,210,208,199,174,146,184,201,205,205,204,189,193,191,190,191,193,180,192,212,215,215,213,209,209,209,206,200,200,205,205,211,198,130,121,137,149,151,154,156,151,150,153,154,155,158,162,228,224,214,203,200,201,200,197,190,191,189,183,179,159,129,117,100,101,147,161,173,179,186,195,202,201,202,209,225,221,213,200,195,189,182,182,185,182,175,173,175,150,117,117,126,120,164,223,223,218,217,217,214,212,212,206,222,216,210,199,188,179,178,179,180,180,181,189,205,183,121,98,111,132,115,138,208,217,213,215,214,216,198,135,217,210,203,196,184,174,167,166,173,181,189,190,188,172,135,119,113,115,127,114,138,220,217,216,213,219,136,106,211,204,201,202,189,178,169,166,169,172,180,197,178,144,136,138,134,122,112,116,119,210,216,212,221,200,115,114,208,200,200,198,190,184,176,171,172,169,168,183,191,152,110,116,145,146,130,102,148,225,217,226,195,122,104,87,199,196,194,192,191,188,181,174,175,175,176,192,185,147,121,105,116,139,147,120,144,215,178,165,124,93,89,73,134,148,168,188,195,196,190,182,178,174,174,187,185,151,129,136,128,114,122,130,123,129,109,99,90,82,70,65,49,54,77,133,198,196,191,186,182,177,171,164,167,153,151,153,143,132,122,101,96,96,107,102,90,79,64,58,45,37,32,36,115,189,170,159,154,151,150,135,132,118,119,144,148,148,131,95,62,75,92,84,80,77,72,60,37,32,32,33,26,87,169,171,178,184,193,205,130,84,88,107,139,130,115,101,66,55,77,77,71,72,78,66,31,26,23,23,18,152,215,214,218,221,222,226,200,152,146,136,132,81,104,99,62,48,54,71,66,65,74,72,26,20,18,6,47,138,125,129,129,131,135,137,143,146,146,144,117,63,96,98,58,41,45,58,60,61,69,72,21,17,15,9,39,113,108,107,109,107,110,112,107,104,126,132,101,52,90,88,53,37,48,50,54,55,62,66,23,20,23,4,42,128,118,119,119,119,115,116,120,127,112,100,88,53,80,78,50,33,41,49,49,50,55,61,30,28,20,0,70,128,117,119,121,122,118,118,118,105,89,75,74,60,70,74,47,36,36,44,43,47,51,57
1,149,152,153,155,155,156,157,157,157,157,158,158,160,160,160,160,160,160,158,159,159,160,159,158,157,159,158,157,152,156,158,157,159,159,159,160,160,162,162,162,162,163,162,163,162,163,164,161,161,161,162,162,160,159,158,158,157,159,160,161,162,163,163,164,165,165,166,167,166,165,168,166,168,157,157,167,165,165,164,164,162,161,161,160,161,164,164,166,166,166,167,168,169,170,170,169,171,171,137,160,185,152,107,175,168,167,168,167,165,165,164,164,164,168,168,171,170,170,171,171,171,173,175,172,181,183,102,154,190,139,101,174,165,174,171,170,168,168,167,166,167,170,171,174,174,174,174,176,175,176,173,165,192,170,102,165,186,118,120,173,115,158,179,172,172,171,171,170,171,172,173,174,178,178,177,179,178,183,167,124,173,151,105,181,181,105,138,183,102,140,186,175,175,174,173,173,173,175,176,179,181,180,181,181,179,192,164,108,154,148,114,191,184,113,158,185,102,141,189,177,179,176,176,175,176,178,180,182,184,184,182,185,182,194,146,110,151,139,123,183,169,111,174,180,96,146,190,181,182,180,180,179,179,180,183,184,186,187,186,187,185,199,141,119,139,124,107,177,148,108,189,181,101,158,191,186,185,184,183,182,181,182,186,186,187,187,189,189,187,200,132,114,139,133,99,192,143,123,197,167,104,170,192,187,187,187,186,185,183,186,187,188,189,189,189,191,192,203,143,102,140,134,102,196,138,137,197,155,102,182,193,189,188,188,187,186,185,188,190,191,192,193,193,191,195,205,147,89,122,106,91,171,112,162,202,156,110,195,194,193,191,190,189,188,187,189,192,193,194,195,194,193,199,205,151,113,151,165,147,172,151,139,185,145,122,204,194,194,193,194,193,190,190,192,192,193,195,196,196,195,206,202,160,132,115,168,193,187,186,128,129,130,136,208,196,198,196,194,193,193,191,193,193,195,197,198,198,198,213,189,146,119,93,100,132,154,200,179,108,77,157,209,197,199,197,196,195,194,193,195,197,198,199,200,200,201,219,192,146,109,100,104,108,148,213,209,147,71,177,208,200,201,200,200,199,197,194,196,199,201,201,202,199,205,219,187,140,114,113,119,159,182,180,201,165,95,185,208,201,201,200,200,200,200,196,197,199,201,202,204,200,209,216,183,145,113,125,129,189,204,183,162,143,94,151,215,201,204,203,202,201,200,196,197,200,202,203,205,202,211,217,186,150,128,128,155,212,202,174,150,113,80,157,217,204,205,205,205,202,201,199,200,202,203,203,205,204,211,215,186,150,140,126,172,220,205,162,135,101,76,186,215,207,207,207,206,204,201,200,202,202,204,205,205,206,209,211,186,160,148,127,170,220,195,151,122,88,98,208,209,208,208,207,207,207,204,201,203,203,205,205,207,207,208,207,187,166,160,124,173,211,175,138,110,78,156,219,209,209,209,210,210,208,208,201,204,206,205,207,208,209,210,211,191,168,159,123,181,195,165,133,95,91,203,214,211,210,210,210,210,208,208,201,205,207,207,207,209,207,209,216,192,174,147,125,175,165,148,121,79,131,223,211,214,213,212,212,211,209,208,202,204,206,209,208,210,203,209,215,209,183,144,137,164,146,137,110,78,183,221,213,216,216,214,213,212,210,209,202,202,204,206,208,207,202,213,211,208,184,151,149,153,140,128,87,126,218,215,215,215,215,214,214,213,212,211,203,204,206,206,207,202,204,203,189,191,175,149,146,133,128,98,93,198,219,215,215,215,215,214,213,213,212,211
15,171,150,152,137,103,170,86,45,95,93,94,97,101,104,114,125,137,147,150,153,159,165,169,172,174,177,180,183,171,151,158,130,112,173,73,52,96,94,96,98,101,104,114,128,139,148,151,156,161,167,171,174,177,180,182,185,171,155,164,123,125,173,61,61,98,94,97,100,103,104,116,130,141,150,154,157,163,169,173,176,180,182,184,187,170,157,168,117,138,167,53,71,99,94,98,100,102,105,118,132,143,152,155,159,165,172,176,179,182,185,187,189,169,158,169,109,153,159,38,76,96,93,97,102,106,108,122,137,148,155,157,161,169,175,178,182,185,188,191,193,166,167,164,123,152,147,100,117,117,122,131,132,130,113,113,125,138,153,159,164,171,177,187,189,187,191,194,196,162,179,152,134,135,133,135,123,117,123,120,116,110,117,117,114,117,122,131,140,140,134,146,173,198,197,195,199,167,162,130,126,125,122,116,111,112,114,113,111,112,124,127,124,122,120,118,130,136,125,114,103,136,190,208,202,170,169,142,114,120,109,112,107,113,116,116,115,119,129,129,127,121,116,121,132,132,130,125,111,95,103,162,208,170,176,147,117,183,92,66,103,101,105,107,110,119,128,130,125,117,119,129,131,125,128,123,116,113,102,92,122,173,180,136,130,195,74,52,103,95,97,99,101,102,117,133,156,139,128,128,129,130,128,124,119,118,121,108,91,177,185,127,144,188,62,65,103,96,98,100,103,104,115,142,183,167,143,133,128,120,125,120,122,121,133,118,103,178,187,120,156,182,52,72,104,97,97,100,102,105,115,175,168,149,114,109,119,101,103,120,123,130,142,124,113,178,185,117,168,172,45,80,103,96,98,100,104,99,143,183,147,136,106,73,84,69,75,149,140,144,137,121,119,180,182,112,179,159,40,87,102,96,98,101,100,113,189,164,134,119,100,67,62,50,79,168,158,152,127,114,120,181,178,112,190,148,37,93,103,98,98,101,94,145,202,163,129,112,78,59,63,46,103,170,170,161,130,110,115,186,174,114,197,133,37,98,101,97,98,101,96,126,191,178,142,116,71,54,61,64,111,164,179,167,134,111,107,192,168,119,206,120,39,103,100,97,98,100,103,101,175,195,167,126,84,49,87,98,100,157,173,152,129,111,97,198,163,126,215,108,43,105,100,97,97,99,103,103,143,209,185,139,92,61,67,116,150,161,148,125,120,107,89,202,153,135,216,95,48,107,99,96,95,97,99,107,124,198,196,171,157,150,151,164,148,132,115,105,108,104,92,205,145,148,215,80,54,106,96,95,94,97,97,107,121,170,204,175,161,158,165,161,124,101,102,98,99,105,108,206,136,161,209,68,61,106,95,94,94,96,98,106,129,190,165,139,137,144,166,160,112,94,95,91,102,105,100,204,130,175,201,59,69,106,95,93,93,96,99,100,156,192,145,138,140,138,157,155,119,94,104,179,126,78,74,201,125,188,191,41,68,98,86,86,86,90,93,97,154,177,140,128,126,124,142,143,121,85,179,241,134,79,79,197,123,195,180,98,115,126,115,110,107,104,105,113,137,156,149,160,158,118,101,138,116,98,172,242,140,85,81,191,126,199,184,156,126,137,137,135,133,134,137,135,133,134,143,149,188,161,100,144,143,123,161,189,130,92,84,185,128,204,183,142,113,128,125,126,127,129,128,130,129,127,131,125,151,188,131,121,135,134,131,134,115,90,89,179,133,207,178,142,121,130,131,132,132,131,132,134,135,137,137,137,134,152,145,136,139,140,140,145,118,78,62
23,143,147,150,154,156,157,160,162,164,165,166,167,167,167,169,169,168,168,167,167,167,166,165,165,165,163,162,161,143,148,152,156,158,159,161,163,165,167,168,169,169,170,170,172,170,170,171,170,170,168,168,168,166,165,164,164,145,149,154,157,159,161,163,165,166,169,171,172,172,172,172,173,172,170,171,174,173,170,169,170,170,168,166,165,147,151,156,159,161,163,164,167,169,170,171,173,174,173,173,175,178,168,145,148,171,174,172,172,171,171,169,167,149,153,158,161,164,165,167,169,170,172,173,175,175,176,182,184,185,169,161,136,152,162,172,175,173,172,171,170,151,155,160,163,165,166,170,171,172,175,176,178,179,196,180,176,193,140,149,154,150,111,150,178,175,174,172,171,153,157,161,165,166,169,171,173,175,176,178,177,193,192,165,134,138,87,122,124,107,116,171,179,177,176,175,174,155,160,164,166,168,171,173,175,176,178,180,179,203,187,174,81,120,158,182,180,172,180,181,180,179,178,177,177,157,160,165,167,170,172,174,177,178,180,181,186,206,190,178,103,146,190,183,184,185,182,182,181,180,180,179,178,157,161,165,168,172,174,176,178,181,181,180,189,199,185,181,151,170,182,167,132,167,185,184,183,182,182,180,180,158,162,168,171,173,177,179,180,182,191,187,177,175,178,192,190,193,187,163,96,118,194,186,184,184,182,182,181,160,165,170,172,175,177,180,181,186,207,191,170,157,162,173,166,163,154,136,97,105,196,187,187,187,186,184,183,161,166,170,174,177,179,181,181,192,210,193,165,137,143,181,186,180,167,143,97,91,194,188,189,189,187,187,186,162,166,171,174,178,180,183,182,203,210,196,166,143,142,152,157,163,173,152,96,73,192,192,190,189,188,187,186,162,167,172,176,178,181,183,186,211,213,199,178,177,177,162,137,122,130,120,83,69,185,195,192,191,190,188,187,163,169,174,177,180,182,183,194,216,211,196,179,178,163,176,160,139,125,92,73,60,107,176,199,194,193,190,189,166,170,175,179,181,184,186,207,215,212,199,170,155,132,158,173,148,115,81,65,72,108,106,168,199,194,193,191,166,171,176,180,182,182,197,218,217,208,179,125,112,109,103,138,159,115,69,62,72,97,71,62,181,197,194,193,167,172,177,180,183,185,214,224,213,190,168,134,94,70,67,163,181,103,67,56,71,81,63,47,134,202,195,194,167,173,178,182,181,209,227,219,203,178,164,137,97,70,125,165,148,86,57,63,78,79,63,58,153,201,195,195,168,173,178,180,190,228,226,213,190,175,163,126,91,72,110,114,97,67,49,72,86,78,70,143,201,199,196,196,170,175,179,179,212,232,220,207,188,175,153,122,85,51,56,60,72,67,62,73,77,91,168,205,201,199,199,197,170,175,179,190,230,226,217,198,180,165,144,109,79,57,71,80,87,81,74,65,123,190,206,202,201,200,200,200,171,175,178,224,229,215,203,186,170,154,129,97,77,67,87,94,93,79,73,146,207,207,203,202,201,201,201,201,171,174,194,238,219,203,190,172,156,137,117,93,75,73,90,86,73,66,158,212,208,206,205,203,202,202,202,201,173,173,212,231,212,194,182,165,146,131,111,91,71,70,81,69,77,167,211,208,208,207,205,205,204,202,202,201,62,130,230,218,205,183,160,154,138,116,100,77,63,60,65,105,187,215,210,208,207,207,206,206,205,204,203,203,28,120,210,204,198,170,160,147,106,88,68,46,45,95,156,208,212,209,209,208,208,207,207,207,206,204,203,203
18,166,167,168,168,168,169,170,170,169,169,169,169,168,167,167,166,165,166,165,164,163,162,162,161,159,159,158,157,167,168,169,168,170,171,171,171,171,172,171,169,168,168,167,167,167,167,166,165,164,163,162,162,160,160,158,158,168,169,169,169,170,172,172,172,172,172,172,172,171,172,173,170,169,171,171,171,165,165,165,163,161,160,159,157,169,170,170,171,173,173,172,173,174,173,173,172,173,163,145,164,173,152,130,144,171,167,158,164,165,161,160,159,169,171,172,173,173,173,174,175,175,175,176,176,176,149,114,108,147,142,113,87,143,145,117,111,153,165,161,162,170,171,173,174,174,175,176,175,176,171,147,149,173,154,130,104,111,167,120,104,90,123,118,88,103,170,162,162,171,172,173,175,174,175,176,175,179,171,139,123,128,164,136,114,99,158,127,113,108,105,114,102,77,151,167,161,173,175,174,176,176,176,177,177,180,176,158,146,117,132,152,117,96,122,138,125,119,113,127,114,76,145,169,163,174,174,175,176,177,178,179,179,178,164,170,145,132,102,138,124,103,100,141,133,123,123,121,109,76,149,170,165,174,174,175,176,177,178,179,179,185,146,144,147,123,82,117,131,102,88,128,123,120,119,120,110,74,139,173,165,174,175,176,177,178,179,179,182,178,129,107,148,101,74,103,111,86,77,114,94,106,144,138,115,80,126,176,166,174,176,177,178,179,180,179,184,175,145,120,138,102,77,94,95,79,71,95,79,88,161,144,123,87,111,177,166,176,177,178,178,180,180,179,184,180,163,133,126,116,85,92,103,83,69,94,81,71,140,151,130,98,93,175,168,177,178,179,179,180,180,180,184,181,155,130,110,101,76,94,110,81,69,88,114,145,145,164,141,106,79,164,171,177,178,179,180,180,181,181,185,169,140,122,107,89,78,80,85,75,81,110,158,163,152,149,138,105,74,153,175,179,179,180,180,180,183,182,184,178,159,139,119,99,96,92,90,108,131,158,167,160,155,135,121,97,73,159,173,179,179,180,181,181,183,183,184,182,165,144,120,100,96,102,116,136,155,172,171,155,142,127,105,82,89,175,171,179,179,180,181,183,184,184,184,183,170,150,127,111,105,105,114,151,168,177,168,147,134,120,100,67,124,180,169,180,180,181,182,183,184,185,185,182,173,154,135,119,113,107,123,166,173,172,160,141,126,115,91,70,161,177,172,180,182,182,182,184,184,185,183,178,170,153,136,125,118,113,130,173,168,163,154,138,120,109,79,93,181,173,173,180,182,182,183,184,184,185,184,172,163,154,140,129,128,118,136,168,165,156,142,132,116,101,68,128,184,173,174,181,182,183,184,184,185,186,186,174,164,157,144,135,136,122,141,162,161,152,133,122,109,91,69,163,178,174,173,182,183,183,185,186,187,187,189,181,162,156,150,141,134,119,137,159,153,146,129,112,101,72,100,184,174,175,175,182,183,184,186,186,186,187,189,186,168,161,155,144,132,118,125,150,145,134,118,102,90,64,153,183,176,176,175,183,184,185,186,186,187,187,188,188,178,166,156,147,139,127,123,137,138,125,110,97,70,96,186,177,178,176,176,182,183,185,187,186,188,188,187,187,184,173,159,146,136,130,124,131,133,119,105,88,62,155,185,178,178,177,176,184,184,185,186,187,188,188,187,187,185,176,156,145,142,141,136,129,127,114,101,72,102,188,178,179,179,178,176,185,185,186,186,186,188,188,189,186,184,175,160,156,153,143,136,124,123,108,92,68,147,187,180,179,179,178,177
14,108,112,116,120,124,126,128,130,133,134,134,136,138,138,139,139,139,138,139,138,138,138,137,136,136,135,134,134,108,113,117,121,125,128,129,131,133,133,135,137,138,139,140,140,140,140,140,139,139,139,138,138,137,136,136,135,110,114,119,123,127,127,130,133,135,135,137,139,140,140,141,143,142,141,141,140,140,140,139,138,138,138,137,136,110,116,121,124,127,129,131,134,136,137,140,140,141,142,142,145,144,143,142,141,141,141,140,139,139,140,139,138,112,117,122,125,127,131,133,136,138,138,140,142,142,143,148,141,144,143,142,145,145,141,141,141,141,140,139,139,112,117,121,126,129,132,133,137,138,139,141,145,139,172,188,169,172,162,137,123,134,147,140,141,143,141,140,139,112,119,124,127,131,132,134,138,139,140,143,141,150,190,186,187,173,158,146,132,120,120,144,145,140,141,141,140,114,121,125,128,131,134,137,138,141,141,145,139,180,195,167,144,124,101,104,120,112,60,74,140,144,142,142,142,114,121,126,130,132,135,138,139,143,145,144,149,199,186,128,68,57,57,60,77,75,67,57,70,146,145,143,142,116,121,125,130,134,137,139,142,143,147,139,173,202,168,98,41,48,58,43,50,71,97,81,38,92,152,144,145,117,123,127,131,134,138,140,141,144,145,142,201,187,126,54,28,55,61,47,54,59,61,68,86,64,109,150,144,119,125,128,132,136,139,140,141,145,141,166,207,144,75,32,32,31,38,57,56,62,64,77,95,90,99,106,148,121,125,129,133,137,139,141,145,145,147,205,193,127,77,54,50,42,32,59,64,111,95,88,77,129,106,91,152,121,127,131,135,138,140,143,148,141,171,220,180,121,79,65,55,54,57,46,113,161,156,148,131,145,78,98,156,122,128,133,137,140,142,144,149,141,189,220,171,114,75,65,53,54,58,76,157,154,154,154,136,139,77,96,157,122,127,133,137,140,143,147,149,143,196,216,168,105,66,54,46,55,51,114,162,153,157,149,130,132,80,81,155,123,128,133,137,141,143,147,147,145,208,210,169,115,68,47,47,45,30,129,169,153,160,133,121,122,90,78,148,124,130,134,138,142,144,146,146,152,218,204,166,116,69,48,37,37,33,53,129,166,155,118,125,111,86,105,154,124,128,134,138,142,145,149,145,166,220,197,162,117,72,41,32,45,57,53,56,92,101,125,137,111,86,146,155,125,129,134,138,142,146,151,143,183,220,193,157,118,74,41,31,44,54,59,74,71,88,130,122,88,119,159,152,123,130,135,138,143,147,151,145,198,215,187,152,121,78,45,37,47,54,71,93,97,94,119,97,100,159,155,154,122,127,135,138,142,146,148,147,205,208,177,149,135,81,51,53,64,74,93,101,93,88,94,81,141,160,154,155,122,130,137,140,143,147,147,151,206,198,167,162,139,74,66,58,75,90,104,96,87,82,73,110,161,155,156,155,124,131,137,141,145,147,147,155,203,188,170,174,136,89,78,57,80,99,104,90,81,73,119,161,159,159,159,156,124,131,137,140,144,148,147,158,200,190,180,179,145,105,81,62,75,96,97,86,72,92,166,160,159,159,159,157,124,131,137,141,145,149,147,165,208,199,191,183,148,106,82,68,70,89,87,81,71,136,165,160,161,159,158,155,124,130,136,140,144,148,144,169,210,199,196,174,135,99,82,73,72,81,80,70,114,164,160,161,160,159,157,155,122,127,133,137,141,146,142,175,207,197,190,152,116,91,81,76,78,79,76,111,163,160,161,161,159,158,156,154
10,75,75,77,80,81,92,110,121,143,141,133,154,156,163,167,170,174,178,180,182,185,186,188,189,189,190,191,191,75,75,77,80,81,94,112,121,158,148,104,144,164,163,169,172,176,180,183,186,187,189,190,192,192,192,193,193,74,75,78,80,82,96,113,126,146,152,116,98,155,169,170,174,178,181,185,188,190,191,193,194,194,195,195,195,75,76,78,80,83,98,116,130,139,145,125,96,100,173,173,176,180,183,186,189,192,194,195,196,196,197,197,197,75,76,78,80,84,101,118,132,141,147,128,110,85,131,182,177,182,185,189,192,195,196,197,198,198,198,200,199,75,76,79,79,85,103,120,134,144,147,146,124,107,86,163,185,183,188,192,195,196,199,200,200,200,200,201,201,75,76,79,81,85,105,121,135,143,148,160,145,115,91,105,188,186,191,195,196,198,201,201,202,201,202,203,203,76,77,79,78,91,109,126,135,157,121,143,167,136,121,85,163,195,192,196,199,200,201,202,202,203,205,205,205,75,78,74,118,137,93,111,145,168,107,95,173,160,134,98,121,199,192,196,199,201,202,204,204,205,206,207,206,75,78,73,127,128,78,69,100,133,114,72,132,180,132,108,86,181,197,197,200,202,204,206,206,207,208,208,207,75,78,77,85,99,80,73,68,77,109,94,79,162,143,107,83,134,206,197,202,203,206,207,208,208,208,209,209,75,77,80,79,96,98,77,72,72,108,117,93,92,141,120,118,84,184,204,203,204,207,208,209,209,209,209,211,75,76,80,81,96,117,120,98,76,102,130,111,81,82,105,123,83,131,210,203,207,207,209,210,210,211,212,212,75,76,79,81,98,117,136,149,128,90,134,130,106,74,76,96,90,86,193,208,208,209,209,211,212,212,213,213,74,75,77,81,99,117,130,157,166,100,82,158,134,103,73,70,82,74,171,213,206,210,210,211,212,212,213,214,73,75,76,81,100,123,139,161,170,135,54,136,168,127,99,77,78,69,156,214,205,208,208,210,211,212,213,214,73,73,75,81,97,144,160,152,183,156,79,85,185,143,123,96,76,65,141,216,206,208,209,211,211,212,213,214,71,73,74,81,98,133,172,147,173,164,107,114,185,155,139,106,77,64,129,215,206,209,212,212,213,214,214,214,74,73,72,80,101,117,156,151,148,160,126,148,175,140,136,101,82,71,121,215,207,209,211,211,213,213,214,214,107,104,104,106,112,115,133,153,149,171,140,134,174,132,131,103,85,75,111,210,208,211,213,215,218,218,220,222,101,103,106,108,107,102,109,156,158,167,174,131,159,143,133,110,87,77,91,137,140,143,146,150,153,157,161,165,104,104,105,108,110,112,106,159,183,157,184,137,101,144,131,112,91,82,81,113,119,120,120,118,119,118,117,118,104,105,106,109,111,112,108,131,187,171,162,152,100,123,129,110,93,83,79,113,128,123,125,126,127,127,128,128,104,105,106,109,110,112,112,116,172,179,172,180,170,134,121,105,92,82,80,107,126,122,122,125,125,125,127,127,104,105,107,108,110,111,113,108,142,175,177,172,180,158,117,98,91,86,81,105,125,123,123,124,124,124,125,126,103,104,105,107,109,110,111,113,114,161,179,170,167,164,123,96,97,92,82,105,124,122,123,124,123,124,125,126,102,103,104,107,109,110,112,114,111,129,172,167,156,148,133,114,111,98,80,97,124,122,123,126,123,123,124,122,101,102,104,105,107,109,111,112,114,110,149,159,147,136,135,134,125,108,85,86,118,123,123,123,123,125,120,148
24,134,137,139,142,143,144,146,148,149,149,150,150,150,151,151,151,151,152,152,152,152,152,152,152,151,150,150,149,136,139,142,144,145,147,149,150,150,151,152,152,153,153,153,154,154,155,155,154,154,155,154,154,153,152,151,151,137,140,143,146,148,150,151,152,153,153,154,154,155,156,155,156,155,156,155,155,155,156,156,156,155,154,154,153,138,141,145,148,151,152,153,154,155,155,155,155,156,156,158,158,157,158,157,157,157,157,158,158,157,156,156,155,142,146,146,150,152,153,154,156,156,157,158,158,159,159,160,159,159,160,160,160,160,159,160,159,158,158,157,155,128,119,153,151,154,155,156,158,157,159,159,160,160,160,160,161,161,162,161,162,162,161,161,161,160,158,158,159,120,80,153,154,155,156,158,160,160,160,161,163,163,162,163,162,164,164,163,163,164,163,163,165,165,163,164,160,120,73,147,155,157,159,159,162,164,166,163,158,154,168,164,165,165,165,165,166,165,165,165,161,150,127,129,167,109,62,149,158,158,160,164,161,142,141,165,139,110,122,170,166,165,166,167,167,166,166,160,136,117,74,114,171,101,61,148,161,156,127,131,165,130,99,142,148,127,94,143,172,165,166,167,167,168,167,160,132,80,100,170,165,114,68,139,164,167,138,118,159,143,126,124,158,145,116,110,174,167,168,168,169,167,165,154,107,80,168,168,166,123,82,129,165,173,170,139,130,164,145,112,137,158,123,92,163,171,169,170,170,166,162,138,71,117,177,167,168,141,128,137,159,158,175,162,113,136,162,125,104,153,114,70,157,178,172,168,160,161,147,90,78,169,171,169,168,156,154,146,157,146,138,168,106,82,165,141,83,98,89,55,137,157,153,145,136,139,101,67,157,178,171,170,170,151,161,156,154,152,138,136,102,63,119,119,70,39,69,92,129,148,151,136,115,100,65,134,182,172,173,172,172,154,165,156,154,152,135,125,108,83,66,80,52,41,101,154,165,161,148,123,99,74,100,183,173,173,173,174,173,156,164,156,129,137,132,121,114,99,86,88,86,128,154,164,162,149,134,106,76,67,166,179,175,175,174,174,174,158,161,163,145,121,124,144,131,126,111,105,146,169,166,161,153,139,118,89,56,125,185,176,178,177,176,176,175,159,160,170,171,144,122,125,139,155,154,156,175,170,165,156,143,124,98,62,103,185,176,178,178,177,176,176,176,158,159,164,173,157,136,122,131,145,168,174,171,170,165,148,126,103,72,74,174,181,178,178,178,178,178,177,176,158,163,160,169,173,149,132,132,148,170,175,176,175,158,130,106,84,58,140,185,176,178,178,177,177,177,176,174,159,163,163,172,182,172,147,145,151,176,184,178,166,138,111,87,63,89,183,178,179,179,178,178,177,177,176,179,159,162,164,164,175,183,163,151,154,172,181,170,146,117,92,73,55,152,185,179,181,181,180,180,177,179,173,169,161,162,166,158,154,172,163,154,155,158,160,154,132,101,76,53,90,185,177,180,180,180,178,180,182,171,165,112,155,159,162,166,151,153,157,153,148,136,133,140,124,90,68,50,144,191,184,185,184,185,183,184,166,159,180,152,93,98,98,104,103,136,157,146,135,121,122,132,114,91,70,58,131,152,153,156,159,165,168,162,166,152,150,106,85,85,84,84,80,105,149,121,117,118,131,140,113,98,83,61,76,85,83,85,86,87,92,152,180,147,143,107,88,90,95,94,92,90,132,117,124,135,138,142,116,94,90,64,83,97,96,96,93,93,124,126,164,172,86,132
3,167,170,170,170,170,171,172,171,172,171,171,172,170,169,167,165,163,155,165,160,160,159,156,155,152,150,148,146,172,173,174,174,174,174,175,175,174,175,176,176,174,173,171,170,176,107,141,171,163,162,161,160,156,154,151,150,175,177,178,178,179,179,179,180,179,179,181,181,179,178,175,175,167,85,106,181,165,166,165,164,161,159,156,153,180,182,183,182,183,183,184,185,186,184,183,183,183,183,180,179,166,83,85,182,171,171,169,167,165,162,160,157,185,186,186,187,189,189,189,190,189,188,188,187,186,186,184,184,165,78,76,185,174,174,173,172,169,166,164,161,189,189,190,190,191,193,192,192,192,192,191,191,191,190,188,187,164,86,72,184,178,177,176,175,173,170,166,164,192,193,194,194,194,195,195,196,196,196,196,194,195,193,190,192,176,95,66,184,183,180,178,176,176,173,171,168,195,196,198,198,198,199,199,199,198,198,198,198,198,196,195,193,171,78,66,190,185,183,182,180,179,177,174,171,198,200,201,201,201,201,201,200,200,199,201,201,201,200,199,192,158,97,74,178,191,186,185,183,182,180,177,174,200,200,201,203,203,204,204,203,204,204,205,205,203,203,201,195,174,130,70,159,199,189,188,187,185,183,179,175,201,203,203,204,204,206,206,206,206,207,207,207,206,204,204,196,178,127,55,145,204,189,190,189,186,184,182,178,204,205,205,205,205,206,208,208,207,207,208,208,206,208,205,201,190,129,59,113,211,189,192,191,189,187,184,181,207,206,207,208,207,207,209,210,210,209,210,210,212,204,183,170,161,158,102,136,184,205,193,192,190,188,186,182,208,208,207,208,209,210,211,212,212,211,214,213,203,194,183,125,74,138,152,186,101,167,206,194,193,191,188,184,209,209,209,211,212,212,213,212,213,215,207,186,128,143,185,124,70,86,155,154,70,39,134,205,193,193,190,187,211,211,212,213,214,215,214,214,216,207,194,175,117,83,142,156,98,65,124,134,79,45,49,190,200,194,191,190,212,212,213,214,215,215,214,217,214,197,179,150,145,121,99,165,113,55,61,93,96,54,42,176,205,195,194,191,213,213,213,215,216,216,216,217,210,187,148,100,126,129,79,123,128,61,48,72,116,70,33,164,209,196,194,193,211,213,213,214,217,218,219,220,214,186,165,98,59,104,38,75,122,47,52,70,124,110,36,136,213,196,197,194,212,213,213,215,216,218,219,219,221,190,154,123,86,63,38,69,78,28,62,117,142,128,43,139,215,198,198,195,212,213,214,214,215,216,218,218,224,190,167,161,118,73,72,97,84,72,151,161,141,88,65,198,203,199,197,192,213,214,215,215,217,219,218,219,223,199,159,160,131,96,86,113,166,174,185,143,109,47,133,216,195,196,199,202,211,212,213,215,217,218,218,218,223,209,155,157,136,104,89,98,175,172,153,118,73,46,186,212,210,210,185,142,220,220,220,221,222,223,224,224,224,228,166,133,127,104,95,92,151,154,129,91,39,112,222,187,159,117,62,36,169,175,180,184,190,195,200,203,206,213,194,127,125,116,112,88,117,131,104,53,62,149,97,57,33,24,24,31,89,90,92,93,93,98,98,99,99,97,113,153,125,122,104,77,77,77,49,34,63,49,25,20,28,21,20,17,99,99,100,101,99,99,106,103,104,99,123,181,157,125,89,71,70,68,41,41,43,34,37,16,21,14,11,11,99,100,100,101,100,101,109,106,109,104,143,165,162,134,107,94,80,66,38,39,35,30,24,24,8,9,5,10
7,154,174,186,192,197,201,204,204,206,209,211,213,213,214,214,215,216,215,215,214,213,213,211,210,210,208,207,206,156,176,187,193,198,202,205,206,207,210,213,213,214,214,215,216,217,217,216,215,215,214,213,211,211,209,208,207,158,178,187,194,199,203,205,207,209,211,213,214,215,216,217,218,218,218,218,217,216,215,214,213,212,211,210,209,159,178,188,195,200,204,207,208,211,213,213,214,216,218,219,219,219,219,218,218,218,216,216,216,215,213,212,210,159,179,188,195,201,204,207,209,211,214,214,215,217,219,219,219,219,219,219,219,219,219,219,218,215,214,213,211,160,180,188,196,201,205,208,209,211,213,215,216,219,221,223,223,224,225,223,222,220,216,213,212,216,216,215,212,160,179,189,196,201,206,209,212,214,217,219,218,218,214,208,202,191,189,185,189,176,168,191,194,188,217,214,214,161,180,189,197,202,206,208,201,194,189,188,186,181,169,165,169,147,155,158,153,154,155,190,186,167,220,218,215,163,182,190,198,202,208,195,168,161,168,169,173,172,163,156,149,145,146,149,145,149,145,145,141,163,199,211,218,164,182,188,197,207,204,186,157,149,155,153,154,156,157,159,162,162,147,152,161,154,150,146,141,145,166,166,210,165,182,193,201,201,190,179,161,147,145,154,163,170,173,172,168,159,137,143,160,148,139,138,131,137,158,144,201,163,193,200,197,190,186,184,174,171,172,177,181,171,169,165,160,142,131,131,133,127,125,126,126,131,142,173,219,194,203,196,194,194,192,177,156,147,152,161,160,154,150,139,130,126,141,156,173,186,198,205,210,215,218,223,220,209,201,199,198,193,177,167,135,129,142,140,128,120,137,180,199,212,221,231,234,233,232,230,228,227,223,221,220,204,202,201,191,173,170,156,129,126,121,110,100,105,115,138,151,223,232,226,227,226,226,225,225,224,223,222,220,203,204,193,178,170,164,158,151,134,116,114,118,116,111,105,87,167,239,226,229,228,228,227,226,226,224,222,221,205,196,177,169,164,161,172,175,149,119,118,121,120,117,118,103,171,240,228,229,228,228,228,227,227,224,223,221,192,176,162,161,160,158,162,159,130,113,111,108,112,113,113,96,138,237,229,230,230,230,228,227,226,225,224,221,171,164,160,159,154,146,147,136,118,106,97,103,115,118,115,102,163,234,229,230,230,230,227,227,226,225,224,222,166,163,161,156,147,133,127,129,127,113,112,124,125,119,102,176,240,230,230,230,230,229,228,227,227,226,224,222,160,151,144,139,133,130,135,146,140,123,115,111,111,115,164,230,228,229,229,229,228,228,227,226,225,224,223,221,152,145,143,140,138,138,141,145,130,109,124,160,187,215,231,227,227,228,227,227,227,227,226,226,224,223,221,220,150,146,146,142,135,131,127,119,116,156,212,230,231,228,226,227,228,228,228,227,227,227,226,226,225,225,222,220,130,133,130,127,123,121,131,163,197,224,224,222,223,225,226,227,228,227,227,227,227,227,226,225,224,224,221,220,103,77,127,167,168,185,205,216,217,216,219,221,224,225,225,225,226,226,226,227,227,226,226,226,224,222,220,219,94,54,157,213,208,214,214,213,216,220,223,225,226,227,229,229,228,227,228,227,225,224,225,223,220,219,220,219,73,60,164,189,179,179,179,179,178,178,177,174,173,175,174,174,171,168,168,167,164,162,160,158,155,152,133,126,54,74,138,143,142,144,143,143,145,145,143,143,143,144,145,142,141,141,140,140,140,139,138,136,135,110,76,74
4,170,171,171,172,173,171,171,171,172,171,170,170,170,169,167,168,170,169,166,165,165,164,164,163,162,161,160,159,172,172,173,174,174,174,173,173,173,172,170,172,170,173,175,167,156,158,168,167,166,166,165,164,164,163,161,161,174,175,175,176,176,176,176,174,173,177,184,182,165,148,176,198,172,130,122,176,171,169,165,165,165,164,163,162,176,177,178,177,177,178,175,178,180,151,176,191,168,121,100,170,168,124,85,127,151,156,171,168,166,164,165,164,177,177,178,179,179,174,188,200,171,129,99,170,153,111,78,131,146,104,85,73,113,108,122,172,166,165,165,165,178,179,178,180,179,178,210,205,160,129,83,154,145,109,72,112,134,105,80,81,109,93,77,165,170,168,166,166,180,180,179,181,179,188,206,201,169,179,102,122,172,152,71,94,156,136,85,94,117,91,77,162,172,169,168,167,180,181,180,182,180,187,210,183,189,202,123,98,195,158,73,80,170,142,82,99,153,120,89,164,173,170,169,168,181,182,182,183,183,183,211,193,182,158,105,86,147,126,83,79,117,124,59,96,183,132,105,173,172,172,170,169,182,183,183,184,182,187,222,214,191,161,131,113,89,86,90,107,148,155,95,89,142,111,131,180,173,171,171,170,184,184,185,187,180,201,227,203,177,163,146,136,122,134,140,155,186,149,115,94,92,73,158,180,175,173,172,171,185,186,185,188,181,211,217,183,156,136,144,197,168,174,188,161,170,138,131,105,93,86,167,178,176,175,174,173,185,187,187,188,184,219,215,186,164,141,139,191,170,172,180,171,157,153,150,117,83,79,165,180,174,175,174,172,186,189,189,188,190,227,216,191,167,145,125,139,147,144,157,141,136,176,169,130,93,73,160,183,176,177,175,175,189,190,190,186,198,228,211,192,164,132,122,112,98,101,137,107,122,186,180,138,105,76,151,187,177,177,176,176,191,191,192,187,205,227,211,192,154,131,132,126,109,129,188,183,149,184,191,137,114,76,142,188,177,177,177,176,191,192,193,188,209,225,213,189,153,137,143,128,113,191,211,197,185,165,181,144,122,86,127,191,178,179,178,177,193,192,194,189,213,225,205,169,152,152,144,117,163,217,213,199,177,170,150,136,119,90,136,190,179,180,178,177,194,194,195,190,217,221,194,167,176,152,129,131,211,218,213,194,169,155,140,117,108,85,167,186,181,180,179,178,195,196,194,199,223,216,191,181,179,147,118,173,222,213,201,183,164,144,131,111,92,96,187,182,183,181,179,179,195,195,204,158,209,219,191,183,184,140,149,198,220,202,187,175,159,137,118,105,72,143,192,183,183,182,181,180,196,202,186,84,114,204,198,187,178,131,160,196,209,189,179,169,147,125,109,88,92,187,185,184,185,184,182,181,200,197,108,89,81,99,169,183,156,126,143,191,193,176,165,155,135,114,99,73,158,195,186,188,187,185,184,182,208,133,82,90,90,79,88,125,127,112,132,164,175,161,150,138,121,104,74,115,198,187,189,188,188,187,185,183,155,91,96,84,80,86,81,76,80,101,123,140,154,143,133,117,105,79,84,189,193,189,190,189,188,187,185,183,93,92,92,81,80,79,79,84,67,71,96,113,127,113,101,95,81,72,170,198,191,193,192,190,189,188,186,185,95,91,82,81,77,78,76,79,78,43,56,66,79,79,68,64,69,163,202,191,194,193,193,191,189,188,187,186,90,85,80,80,75,75,72,73,83,56,38,51,51,51,53,36,113,210,193,195,195,194,194,193,191,189,188,187
23,114,117,120,130,141,152,160,163,166,171,178,183,186,189,191,193,197,199,202,202,201,201,202,202,204,203,202,201,113,117,122,132,143,153,162,165,168,174,180,185,188,190,192,195,200,201,202,204,204,204,204,204,205,203,203,203,114,118,122,134,145,155,163,167,169,175,181,186,190,192,195,198,201,202,205,205,206,206,206,206,206,206,205,205,114,117,122,135,146,156,164,168,170,176,183,188,191,195,198,199,202,204,206,207,207,207,207,207,207,207,207,206,116,119,122,135,147,158,165,169,173,179,184,190,192,195,199,201,203,206,206,207,208,207,208,207,207,208,208,205,116,119,124,136,148,159,166,170,174,180,186,191,193,197,200,202,205,207,207,208,211,210,209,209,208,208,208,207,115,118,125,137,149,160,168,169,174,182,188,192,195,199,202,204,207,207,210,211,208,209,207,210,213,209,207,208,116,119,126,138,150,161,169,172,175,183,190,194,198,200,204,206,207,210,210,207,237,246,220,211,207,210,210,208,115,119,127,140,150,162,169,173,177,184,191,196,199,202,205,208,210,210,215,255,255,230,226,201,139,204,214,211,116,119,126,140,152,164,171,174,179,187,193,197,200,205,207,211,210,220,255,249,208,140,171,179,183,216,213,214,117,119,127,141,154,165,173,175,180,188,194,199,202,205,207,212,207,255,255,167,117,186,219,218,222,217,215,214,116,118,128,142,155,167,173,176,181,188,195,200,204,207,211,212,214,255,255,208,222,210,204,221,218,218,217,216,116,119,128,143,155,166,174,177,183,190,196,202,208,206,210,212,239,255,255,255,255,175,165,234,218,220,219,218,115,120,129,143,156,169,176,178,184,191,197,205,203,220,243,253,255,223,249,237,223,156,131,205,219,223,221,220,116,121,131,144,158,170,178,181,186,192,200,201,224,255,253,255,255,234,255,255,232,153,117,173,199,230,222,223,117,120,131,146,159,171,179,182,188,196,199,214,255,240,231,237,237,215,239,255,215,142,107,135,151,236,225,224,118,120,130,145,160,172,181,183,188,198,196,255,255,255,247,248,234,220,220,182,163,141,102,138,118,174,233,225,117,120,131,146,159,172,181,183,189,198,202,255,255,255,220,222,238,234,222,164,137,150,92,134,138,128,210,233,117,119,131,148,160,174,182,184,189,197,206,255,255,243,192,159,172,194,198,148,145,147,84,130,140,147,223,231,117,119,132,148,161,175,181,183,189,197,209,255,255,210,152,129,96,205,196,137,155,122,106,143,137,184,238,230,116,119,134,149,161,175,182,185,193,197,212,255,255,205,156,113,122,206,171,141,128,90,125,151,154,230,235,235,116,119,133,148,162,176,183,185,194,195,222,255,255,202,161,124,114,126,126,106,97,107,126,140,190,244,234,236,113,116,133,149,161,174,181,183,193,193,231,255,252,200,161,120,85,92,99,112,132,133,132,138,222,239,236,236,112,115,131,147,162,175,183,184,195,194,244,255,246,201,161,131,107,121,135,142,149,141,129,181,243,238,237,236,111,115,130,146,161,176,184,185,195,195,242,255,237,197,164,138,119,125,147,152,152,135,150,241,240,239,239,238,109,113,128,146,162,175,184,185,195,195,243,255,226,198,170,145,132,128,150,155,155,128,195,250,238,240,240,238,105,110,125,143,160,174,181,185,193,196,253,255,230,216,186,156,140,129,147,154,143,156,240,243,241,240,239,239,108,112,126,142,157,171,178,182,192,198,255,255,245,231,200,163,145,135,145,146,146,222,246,238,239,238,239,239
24,178,178,178,179,179,179,179,179,179,178,178,178,177,176,174,173,172,171,169,169,167,165,165,163,161,159,157,155,180,181,181,181,182,182,181,181,181,181,181,181,180,178,177,177,175,173,172,171,170,169,168,166,164,163,159,158,184,184,185,185,185,185,184,183,184,184,185,184,183,181,180,180,179,177,172,148,163,173,171,169,167,165,162,160,186,186,187,187,187,187,187,187,187,187,187,186,185,184,183,182,182,180,175,123,134,175,173,171,169,167,165,163,189,189,189,189,190,190,191,189,188,188,188,188,187,187,186,185,184,184,180,120,126,177,176,174,171,170,168,166,193,192,192,193,192,171,171,192,192,192,192,191,190,189,188,187,186,188,181,119,130,181,179,177,176,174,171,170,194,194,195,195,191,150,120,183,196,196,195,194,194,192,191,190,188,193,179,114,142,184,181,180,178,175,173,173,196,196,196,196,193,155,109,151,199,197,197,197,196,194,194,193,191,199,174,113,156,186,183,181,179,177,175,174,199,199,198,199,199,173,124,122,199,198,198,199,198,196,196,195,196,199,157,106,169,188,185,184,182,180,178,176,201,201,201,201,202,188,139,102,187,201,200,200,200,198,198,190,188,193,141,103,182,189,188,187,184,183,180,178,202,202,202,202,203,198,161,105,158,205,203,199,181,180,192,166,125,142,131,124,193,191,191,189,186,184,183,180,204,204,204,204,204,203,174,119,121,203,204,187,163,145,152,145,116,95,102,146,197,194,193,191,188,187,185,183,206,206,207,207,206,207,183,137,103,184,199,183,173,150,141,134,145,114,75,166,199,196,194,193,190,189,187,184,208,208,208,208,208,208,195,165,117,146,179,177,181,150,145,145,151,116,80,181,199,197,195,194,192,190,188,186,209,210,210,209,209,209,204,183,130,113,140,153,191,152,117,116,141,131,87,168,203,200,197,196,194,192,190,188,210,211,211,211,211,212,211,191,160,140,125,127,175,150,87,68,151,150,100,126,202,201,199,197,196,195,191,189,212,212,212,213,213,214,212,198,192,152,110,94,153,132,79,62,142,170,132,90,176,202,200,199,198,196,194,191,214,214,214,215,215,214,214,202,190,139,109,93,147,121,77,98,181,188,153,87,138,204,201,200,199,197,194,193,215,216,216,217,217,217,217,209,191,165,148,110,144,137,101,163,197,182,139,82,141,205,202,201,199,197,195,194,216,217,218,218,218,219,219,213,195,187,163,121,128,126,150,205,192,166,125,73,162,207,203,202,201,198,197,195,217,217,218,218,218,218,219,213,191,196,174,143,113,131,196,209,185,155,117,79,181,208,204,203,201,201,199,196,217,217,217,217,218,219,220,215,192,186,177,159,122,138,201,200,177,146,105,85,193,207,204,203,201,200,197,196,218,218,218,219,220,220,220,219,192,179,176,169,139,132,193,196,167,133,90,97,202,206,204,202,201,198,196,195,219,219,220,221,221,221,222,222,199,181,179,174,159,128,180,189,156,114,72,127,210,208,206,204,202,200,198,196,220,221,221,221,221,222,223,223,212,188,184,175,167,120,150,167,129,90,61,165,211,207,207,205,203,202,181,149,218,219,221,221,221,224,224,224,220,193,189,175,158,124,122,139,110,73,78,196,211,209,208,206,190,154,95,60,154,157,162,166,169,173,176,180,184,194,187,168,154,137,115,132,108,64,122,200,200,196,180,140,95,61,47,42,108,109,111,111,110,110,109,108,125,192,192,179,170,148,127,132,99,64,99,120,118,106,84,58,49,48,42,40
21,182,183,186,189,191,192,192,193,194,197,197,195,196,195,195,197,196,196,195,195,195,194,195,193,192,192,190,190,184,185,188,190,191,193,195,196,196,196,196,197,196,197,198,199,197,197,196,196,197,196,195,194,194,192,191,191,185,187,189,191,193,194,196,196,197,195,223,198,177,201,201,201,200,199,199,198,198,198,197,196,195,195,194,193,188,189,191,193,195,196,197,198,199,198,233,218,159,191,204,201,201,201,202,202,201,200,200,200,198,196,196,194,189,191,193,195,197,198,198,201,202,197,213,237,168,168,207,202,203,204,203,203,202,202,202,192,200,198,198,195,190,192,194,197,198,201,201,202,202,202,202,239,209,169,198,204,205,205,205,206,201,214,206,149,195,202,200,199,192,193,196,198,200,202,202,203,204,205,199,232,238,178,180,210,206,207,206,207,202,227,194,142,199,203,202,201,193,195,198,200,203,204,204,206,206,207,204,223,245,187,164,209,208,207,208,205,214,232,176,158,209,203,203,203,194,196,199,201,203,205,205,207,207,207,207,211,246,203,162,201,211,208,209,206,230,224,162,181,212,205,205,204,196,197,200,202,204,206,206,207,208,209,209,225,233,218,159,187,216,211,208,215,229,201,148,200,209,207,207,205,197,199,202,203,206,207,208,208,208,205,220,254,231,216,165,146,211,213,209,231,225,172,159,215,208,208,208,206,199,201,203,205,207,208,209,210,209,225,226,228,238,214,190,162,181,216,219,234,219,154,193,216,209,209,209,207,200,202,204,207,208,208,210,212,214,251,228,207,243,230,223,219,172,173,208,214,185,154,216,212,212,211,209,208,202,204,206,208,209,211,213,210,223,226,230,217,179,181,234,226,179,136,168,179,146,180,221,213,214,213,210,209,203,206,208,209,212,213,215,211,227,230,181,163,127,119,188,234,193,144,140,151,137,207,217,214,214,214,212,211,203,207,208,210,213,214,216,212,232,219,181,182,155,139,150,239,219,165,129,131,147,220,216,216,214,214,212,212,205,207,209,212,213,215,216,213,237,240,219,189,157,162,154,225,241,183,136,118,165,225,217,218,216,216,215,214,207,208,211,213,215,216,217,215,246,242,197,172,160,179,178,235,248,202,153,115,170,226,217,218,218,217,216,215,207,210,212,213,215,217,219,218,247,229,191,180,185,192,206,254,244,208,167,124,169,228,218,220,219,218,217,217,208,211,213,214,217,218,220,220,248,240,210,200,198,202,231,255,237,204,170,124,171,230,219,221,220,220,219,218,207,211,213,214,216,217,220,219,248,245,220,200,209,216,243,255,237,197,173,128,171,231,220,222,222,221,220,219,208,211,213,214,216,218,221,218,245,250,227,204,210,226,253,253,237,198,169,128,178,231,220,221,221,220,220,219,209,212,213,215,217,219,221,218,243,253,228,218,213,234,255,245,229,194,166,126,184,232,220,222,222,221,220,218,210,212,214,216,218,220,223,220,239,255,234,235,225,238,255,243,222,194,160,124,182,234,222,224,223,224,221,220,210,212,214,218,220,220,222,221,230,254,242,241,236,232,247,228,213,189,152,120,183,235,223,226,224,223,225,218,210,213,215,219,221,223,224,224,224,249,249,243,233,222,233,211,201,187,147,117,191,235,225,227,228,231,224,162,212,215,218,221,222,225,226,227,225,243,252,240,217,203,214,204,196,190,140,117,214,233,227,230,225,186,144,118,195,200,203,206,208,210,213,219,205,214,250,228,201,182,196,207,191,182,123,132,234,227,230,223,161,124,119,113
15,10,42,49,62,71,78,86,94,104,108,112,116,119,122,125,127,129,132,133,135,137,139,140,140,142,144,146,148,12,44,49,63,71,79,86,95,105,107,113,117,120,123,125,128,131,133,134,136,138,140,140,141,143,146,147,149,15,45,53,64,72,80,86,96,106,108,113,118,121,123,126,129,132,133,135,138,139,140,141,144,145,147,149,149,20,47,54,67,74,77,86,98,107,108,113,117,121,124,127,131,132,132,135,138,139,140,143,144,146,147,148,149,26,49,55,66,73,97,95,95,106,111,114,118,120,125,128,130,132,133,136,138,139,143,144,145,147,148,148,151,31,49,58,65,79,140,108,91,86,99,115,121,122,125,128,131,133,134,137,138,140,143,144,146,147,148,149,152,36,49,58,68,78,115,115,104,93,82,88,106,121,129,129,131,133,136,138,139,141,144,145,147,147,147,148,151,40,49,59,70,76,84,99,98,97,91,93,92,92,103,127,135,133,135,138,139,141,144,146,148,147,148,150,152,42,50,60,68,77,84,90,98,87,92,100,105,100,89,84,109,132,139,139,139,140,144,146,148,149,149,152,154,44,52,62,70,77,86,92,103,103,102,101,101,102,98,88,85,89,116,139,143,142,144,146,148,149,150,153,154,47,54,64,71,78,85,92,102,108,112,114,102,89,92,102,103,92,83,91,118,141,148,145,147,148,151,153,155,46,54,64,72,79,86,95,105,108,112,118,119,109,100,85,86,92,87,85,91,90,119,149,148,150,152,153,155,47,54,65,73,79,86,97,106,107,114,128,97,85,104,100,71,64,78,98,102,103,80,103,152,149,153,154,155,47,55,66,74,80,86,96,106,106,122,127,101,75,72,97,97,89,98,100,108,114,97,65,113,160,152,155,156,49,56,67,74,81,87,98,107,107,118,106,93,93,96,104,86,95,101,90,103,110,101,92,72,144,155,154,156,50,57,67,75,82,87,97,105,108,113,117,96,106,127,116,91,68,69,56,95,117,101,113,80,92,161,153,155,50,59,68,74,81,87,97,105,109,109,140,112,97,124,113,95,91,81,65,78,86,95,104,93,60,134,160,154,51,60,68,74,82,87,97,107,106,121,134,94,66,72,101,110,108,105,93,78,75,74,82,89,71,84,162,155,50,60,67,74,82,87,99,107,104,132,111,72,63,24,31,78,118,120,113,105,99,76,63,74,77,56,135,162,51,61,69,75,82,89,101,104,111,138,92,55,52,35,23,13,59,123,125,120,112,84,63,69,73,56,88,166,52,61,69,76,83,89,102,100,121,126,68,55,85,72,55,30,3,84,130,121,111,90,77,72,71,68,57,139,53,61,68,75,84,91,100,109,127,90,49,103,114,89,86,72,19,41,132,121,113,104,96,85,75,72,60,84,53,63,70,77,84,90,100,115,93,61,78,133,123,95,96,92,73,51,121,127,122,115,110,96,82,73,70,62,55,63,70,77,82,90,103,106,93,95,117,117,116,106,87,88,88,79,102,127,126,122,113,101,91,81,75,71,55,63,70,77,83,91,101,105,112,118,119,123,116,99,75,72,68,92,96,109,122,119,112,103,94,85,80,75,55,63,70,77,82,93,102,105,109,115,118,122,128,130,121,110,94,93,105,84,103,110,108,103,96,89,79,77,55,63,69,75,81,92,102,105,109,115,118,122,126,130,135,136,136,137,124,105,97,111,106,103,100,93,82,78,55,63,68,73,80,90,100,103,108,114,118,122,126,130,132,133,137,148,149,138,126,124,109,97,96,98,93,86
22,154,155,155,154,155,157,156,155,155,157,156,156,154,153,152,149,151,151,148,146,145,144,142,140,137,135,132,130,158,159,159,159,160,161,161,159,159,160,166,161,158,157,159,159,153,154,151,150,150,148,145,143,141,139,137,134,162,162,163,164,164,164,163,163,163,165,128,156,165,161,148,136,160,157,155,155,152,151,149,146,147,146,139,138,165,166,167,167,168,168,168,168,166,164,98,114,175,165,162,79,147,164,159,158,157,155,151,154,116,128,147,141,168,169,170,171,170,171,171,171,168,162,123,78,175,166,172,79,120,172,160,161,160,157,155,164,87,80,157,141,171,171,175,175,172,173,175,173,172,170,145,61,160,172,172,79,95,179,163,164,161,158,163,158,67,92,160,147,174,176,178,178,177,177,178,177,178,171,148,54,138,182,175,87,84,178,166,167,165,161,169,138,54,118,161,149,179,179,178,179,180,180,180,179,180,176,161,83,106,189,180,101,73,178,169,171,167,165,176,113,52,149,156,152,182,180,181,182,182,183,183,180,181,181,175,112,77,189,182,90,59,176,173,173,168,175,168,93,73,169,156,155,184,184,183,184,185,184,185,184,185,185,180,126,49,177,186,85,57,174,177,174,170,172,143,57,114,172,159,159,185,186,186,186,187,186,185,187,187,187,179,148,53,135,195,102,62,170,183,176,173,162,110,43,160,167,161,160,187,187,188,188,188,188,187,188,187,190,172,156,105,73,186,109,57,168,187,178,181,167,81,83,183,165,165,163,190,190,189,189,189,189,189,190,189,191,183,162,137,92,148,112,77,137,190,184,175,146,58,140,181,169,169,168,192,192,192,192,192,192,192,192,192,193,193,168,165,179,171,148,156,82,87,167,166,104,60,178,174,171,169,167,194,194,194,194,194,194,193,193,194,195,197,180,168,149,136,140,153,89,41,54,97,52,106,192,173,173,172,168,195,195,195,196,194,195,196,196,197,195,197,191,181,119,26,69,143,111,77,63,64,19,151,188,178,177,173,171,196,197,197,197,196,197,198,197,197,197,196,192,168,94,39,11,87,120,96,89,85,12,158,190,181,179,177,174,198,198,198,198,199,198,198,199,200,198,198,188,166,129,79,25,20,31,67,90,61,5,111,200,180,182,177,175,201,200,202,202,202,202,202,202,203,202,200,182,170,139,71,28,37,39,71,131,95,35,43,194,182,181,178,178,202,203,203,203,203,204,203,204,205,205,201,180,170,124,72,43,44,80,158,169,137,80,5,126,196,181,180,179,202,201,202,203,203,203,204,204,205,204,202,183,173,143,93,50,51,120,184,193,164,123,18,80,202,180,181,179,202,201,203,203,202,203,204,204,204,203,203,181,171,151,102,49,63,146,191,186,159,106,11,99,199,178,180,178,203,203,204,204,204,205,205,205,206,205,205,175,163,168,109,58,75,167,194,166,127,80,0,141,192,178,179,175,205,205,205,205,206,206,206,207,207,206,206,171,157,162,112,61,74,178,178,143,99,64,17,175,188,181,182,187,204,205,205,204,204,205,206,206,206,206,208,169,151,149,112,58,61,160,158,138,88,40,38,189,187,194,182,114,211,214,214,215,215,216,217,217,216,214,219,187,149,150,111,67,63,152,154,123,69,8,82,214,181,125,52,0,119,124,130,137,142,146,152,154,158,165,172,169,150,141,109,86,59,138,145,99,46,1,118,127,43,0,0,0,63,63,63,65,64,62,63,62,60,64,62,78,157,142,108,89,51,96,104,54,17,0,18,1,0,0,2,0
4,159,160,162,163,166,167,168,170,171,172,174,175,175,174,174,173,172,173,172,172,171,169,169,169,171,170,168,166,158,159,162,165,166,167,169,170,172,172,174,174,176,174,174,172,174,174,174,172,171,171,171,171,171,170,169,167,160,161,163,166,167,169,171,170,172,172,175,175,176,175,173,178,172,175,176,174,174,174,173,172,170,171,170,170,161,163,165,166,168,170,172,172,174,175,178,175,191,178,156,153,186,174,155,170,177,174,173,172,171,171,171,170,162,165,165,167,169,172,173,174,176,180,165,187,221,172,159,122,203,168,140,118,175,177,179,174,172,171,171,170,163,167,167,168,171,175,174,172,218,215,179,146,219,185,147,147,216,172,145,83,165,151,150,179,172,172,174,173,162,168,169,168,171,176,170,190,239,234,199,116,187,203,132,167,224,171,120,135,182,129,88,147,180,173,175,174,165,168,171,171,173,175,170,215,223,227,179,112,181,203,143,163,197,178,195,179,119,116,78,94,181,176,176,175,167,168,172,175,175,173,181,227,193,219,164,96,162,189,195,187,201,232,233,182,113,79,75,82,181,177,176,176,167,170,172,174,178,171,195,225,180,200,172,81,137,172,180,202,214,217,199,191,147,85,58,91,186,177,178,176,168,171,174,175,177,174,222,218,176,175,188,79,113,167,105,146,183,189,179,200,159,108,55,105,189,176,178,178,169,171,173,177,171,196,232,188,163,149,126,65,114,175,72,125,171,138,187,208,172,126,65,128,189,177,179,179,169,172,175,178,170,218,221,173,141,143,119,91,115,148,78,131,189,82,190,227,190,144,77,156,188,180,180,179,170,174,176,176,176,236,218,170,136,124,109,102,108,106,100,106,144,99,178,241,204,156,85,127,192,181,181,179,172,174,179,174,186,248,214,171,135,114,95,102,114,111,149,149,171,202,192,215,198,149,106,84,185,185,183,182,173,178,181,172,198,251,212,169,128,120,104,107,106,119,170,184,214,208,209,180,169,156,123,82,174,187,182,182,174,176,180,171,212,250,214,161,132,141,119,102,95,144,200,213,212,201,194,162,128,149,113,95,183,184,183,183,173,176,179,170,223,249,209,164,163,163,126,116,161,216,228,213,211,199,171,143,115,116,87,128,192,183,184,183,171,174,178,171,229,245,213,190,196,170,131,182,225,234,236,213,203,183,156,132,108,94,84,170,187,185,184,183,171,175,179,175,235,243,227,208,199,183,141,208,231,235,242,204,179,166,145,127,103,74,125,193,185,186,183,184,173,176,179,176,236,247,235,212,191,187,153,213,238,237,226,192,161,148,136,119,91,83,178,190,186,185,184,184,172,176,182,173,226,251,234,216,191,182,173,217,235,219,202,177,147,138,127,104,75,130,195,185,187,187,186,185,174,177,181,173,212,246,223,212,197,182,180,202,215,199,178,155,143,141,118,85,87,183,189,190,187,187,186,184,174,176,181,174,216,234,208,206,206,190,182,192,203,186,168,145,137,132,108,74,146,198,187,187,188,186,184,183,173,176,181,172,214,224,198,205,207,184,166,188,204,186,160,131,124,122,90,114,193,191,190,188,186,186,185,185,172,175,181,174,205,226,203,205,194,183,160,179,207,180,139,111,114,103,93,175,190,187,188,187,184,184,184,183,117,117,123,107,172,240,213,213,193,185,164,167,201,164,124,107,105,91,90,110,108,106,107,107,105,108,107,102,84,82,88,68,145,254,227,219,202,193,170,155,196,163,122,104,94,83,76,75,72,73,73,72,73,70,77,152
19,79,87,93,99,104,104,107,110,114,116,119,123,124,127,130,130,132,132,135,137,138,139,140,139,139,141,140,141,81,88,94,101,103,105,109,111,116,119,123,125,127,130,130,132,135,136,138,138,141,142,140,142,140,143,142,142,82,90,97,102,105,107,110,113,117,122,124,126,131,133,130,135,136,137,139,140,141,139,149,135,141,143,143,143,84,92,99,103,107,109,111,116,120,120,137,132,106,124,138,135,137,140,140,142,137,158,172,78,126,147,143,144,86,94,101,105,108,109,114,118,123,120,170,140,94,71,131,138,137,140,149,152,163,164,103,67,140,147,145,145,86,94,102,107,110,111,114,121,125,119,160,157,109,94,139,153,142,147,161,158,140,91,65,128,151,148,147,146,87,95,103,110,111,110,122,112,117,125,143,156,147,154,147,144,136,120,134,114,72,85,136,153,147,149,149,148,90,97,104,110,105,149,157,120,111,117,132,138,130,117,110,117,104,83,81,85,120,155,152,149,150,150,150,151,90,98,106,108,116,172,132,122,126,133,142,140,129,116,111,94,94,66,136,151,156,150,151,152,151,152,152,152,90,99,109,103,131,151,109,110,120,136,140,136,135,129,105,65,55,86,163,151,151,153,153,152,152,153,154,154,92,99,109,104,154,154,124,124,130,125,114,111,111,90,78,59,41,113,160,152,154,154,153,153,155,156,154,155,93,101,107,114,190,164,143,139,141,133,130,124,105,54,54,58,47,136,159,154,155,155,155,155,157,156,156,155,95,103,107,121,181,157,136,120,112,123,125,117,89,56,52,59,58,147,156,156,158,158,158,157,157,157,158,157,96,104,108,118,162,151,123,101,78,73,87,88,87,58,56,54,86,160,154,157,158,158,159,159,159,159,159,158,96,105,110,116,154,153,123,72,61,32,32,83,96,63,61,56,83,164,156,158,159,159,160,161,161,161,159,159,98,107,113,113,152,155,124,84,50,21,71,95,87,55,54,53,61,154,160,159,160,161,162,162,162,162,162,162,98,107,116,109,154,154,124,93,70,41,40,44,38,37,47,56,59,148,163,160,162,162,162,163,162,163,162,162,98,108,114,108,160,157,126,99,73,61,51,34,35,45,52,57,62,151,163,160,161,163,163,162,163,162,162,162,100,109,116,105,159,156,125,97,76,67,67,51,43,47,54,53,72,159,160,162,164,165,165,164,164,166,164,164,101,108,116,104,149,147,120,94,73,66,64,52,44,51,58,54,98,169,159,164,165,165,165,165,166,166,165,165,102,109,117,108,147,141,116,89,72,66,63,53,50,56,62,54,136,168,162,165,165,166,167,167,167,167,167,167,104,111,116,119,152,136,111,85,70,64,65,59,57,61,52,87,164,161,164,166,166,167,167,167,167,167,167,167,103,113,112,125,157,134,106,82,68,67,68,63,59,55,97,157,162,163,165,166,166,167,167,167,167,167,168,168,105,114,113,130,148,130,108,88,73,69,67,64,51,90,163,159,161,164,166,167,167,168,168,168,168,168,169,169,105,114,114,138,142,121,105,89,71,61,59,59,53,133,161,159,164,165,166,168,169,169,169,169,170,171,170,169,105,114,118,157,136,118,94,78,65,54,53,52,64,148,160,162,165,165,167,169,169,170,171,171,171,171,172,172,106,110,126,161,139,123,102,88,88,60,52,47,77,157,159,163,164,166,167,168,168,170,171,171,171,171,172,172,106,115,123,147,142,126,108,101,94,60,53,45,79,160,157,160,163,165,167,168,168,169,170,170,171,171,171,171
1,141,144,146,149,152,155,158,159,159,160,161,162,163,162,162,161,160,159,161,159,157,156,156,153,152,152,150,148,143,147,150,151,154,157,159,160,162,163,163,163,163,163,162,163,167,164,147,160,158,158,158,155,154,152,151,149,145,149,153,154,157,160,163,164,164,164,165,165,165,164,170,157,171,173,104,148,156,159,158,156,156,154,152,152,148,152,155,158,159,163,165,166,167,167,167,167,168,168,195,145,114,165,96,113,129,138,161,158,158,157,155,153,150,155,158,160,162,164,167,168,170,170,171,170,169,177,200,133,89,155,93,110,129,103,164,161,160,159,158,156,152,157,159,162,165,167,169,171,173,172,172,183,176,129,167,118,102,171,103,111,131,94,162,163,162,161,159,158,154,158,162,165,167,169,171,174,174,175,174,202,158,87,136,116,110,170,109,98,130,96,161,167,164,163,161,158,156,161,165,166,169,172,174,175,177,177,178,204,139,82,135,107,99,146,97,117,144,102,155,170,167,166,164,162,159,163,166,168,172,174,176,178,179,179,188,204,137,82,123,94,112,139,89,122,141,98,151,173,169,168,166,164,161,165,167,170,173,174,178,180,181,180,197,193,128,92,129,92,134,149,93,116,134,95,156,174,172,170,168,166,163,166,169,172,175,177,179,182,182,181,201,182,121,103,147,98,116,138,88,137,142,97,160,176,174,172,169,167,164,167,170,173,177,178,180,182,185,183,210,186,140,93,122,76,84,103,78,156,142,97,163,178,176,174,172,170,165,169,172,175,178,179,181,184,187,186,212,171,125,81,85,83,86,90,91,138,118,92,173,178,177,175,174,172,167,172,174,177,179,181,184,187,189,190,205,172,148,141,107,125,96,131,142,102,91,104,183,179,178,176,174,172,168,174,177,179,181,184,187,188,190,198,223,204,159,175,170,165,156,171,135,82,81,133,186,180,178,178,175,173,169,174,179,181,184,187,189,190,189,215,230,172,131,134,166,176,168,157,138,108,64,144,188,181,180,179,177,174,171,175,180,183,187,189,191,193,191,226,209,141,123,91,93,131,126,155,172,129,70,148,189,184,182,180,178,176,173,177,181,185,189,191,192,194,195,232,215,171,124,110,101,88,142,146,194,152,87,131,191,185,183,182,179,177,175,179,183,187,190,193,195,197,201,235,213,180,120,120,94,151,208,163,191,163,108,86,184,188,185,184,181,179,176,181,186,189,192,196,197,199,204,232,215,177,115,128,109,204,218,196,161,136,118,83,178,191,187,185,183,181,177,182,187,190,194,196,199,200,207,231,221,169,121,125,143,227,221,187,158,120,97,92,191,192,189,186,185,182,179,184,188,192,194,198,201,201,209,232,212,159,140,114,178,229,211,183,151,130,78,113,199,193,191,188,186,185,180,186,190,193,196,200,202,203,211,229,204,176,152,123,205,224,201,174,146,116,71,161,199,194,193,190,187,186,181,186,191,195,198,200,202,208,214,222,203,194,159,144,209,215,191,165,132,90,98,198,198,196,194,191,189,187,182,187,192,196,199,201,208,171,162,221,205,202,156,133,189,190,167,142,111,71,163,205,199,196,195,193,191,189,184,189,194,199,200,203,205,96,70,159,195,191,124,114,143,149,134,110,73,108,207,201,200,199,197,195,193,191,184,190,193,198,201,208,166,74,73,68,98,111,91,108,116,116,93,71,78,190,206,202,201,201,198,195,194,191,183,188,194,198,200,207,120,77,70,68,66,71,73,83,81,81,52,33,140,212,204,202,202,201,199,195,194,191
12,144,144,147,149,151,151,152,155,156,156,156,155,155,154,154,152,152,153,152,150,150,150,149,149,148,146,146,147,146,146,149,151,152,153,154,156,157,157,157,157,156,156,157,156,155,153,154,153,152,152,151,150,149,148,147,147,147,148,150,151,154,155,157,158,158,158,159,159,158,158,157,157,158,155,155,154,153,153,152,152,151,151,149,148,149,150,151,153,156,157,157,159,160,159,159,160,162,161,159,159,160,162,158,155,155,155,155,154,152,152,151,150,149,151,153,155,157,158,159,161,163,162,161,161,157,162,165,159,144,134,157,162,161,159,156,157,154,153,153,152,150,153,156,156,159,160,161,163,163,163,165,164,132,105,153,166,126,62,88,158,133,151,163,156,157,156,155,154,153,155,157,159,161,164,165,165,166,163,174,178,134,77,80,164,109,82,43,111,96,58,123,164,156,157,156,155,155,157,158,163,163,164,167,166,165,162,175,168,119,76,54,163,120,94,49,93,102,51,45,150,160,157,157,157,157,158,161,164,164,164,165,167,176,131,138,167,108,64,48,177,168,111,72,90,90,60,36,135,166,158,159,158,158,160,162,164,165,167,166,194,181,139,99,158,153,69,36,200,192,101,78,135,106,66,34,144,167,159,160,160,160,162,164,166,168,167,179,214,182,153,78,152,193,80,49,137,132,52,110,168,104,53,36,155,167,164,162,161,161,164,165,165,170,165,187,199,182,147,78,98,149,79,61,74,117,97,127,126,60,22,62,172,164,166,164,163,163,165,166,167,169,171,207,187,150,109,75,34,49,49,73,92,145,178,138,94,65,24,129,175,165,167,166,164,164,165,169,172,167,197,204,179,119,76,64,33,3,89,175,170,160,144,117,104,103,41,142,175,167,167,166,166,165,166,169,173,167,202,210,162,112,112,74,10,77,192,190,177,151,137,105,95,88,42,146,178,169,169,167,166,165,167,171,173,170,207,211,154,109,138,87,79,176,203,191,176,151,128,111,87,67,39,162,175,172,171,169,168,166,168,171,173,175,215,208,172,157,126,133,163,198,198,187,168,147,119,105,77,54,31,157,178,172,172,170,170,167,170,173,173,179,215,208,186,179,140,133,171,199,191,175,163,136,107,93,70,48,23,148,182,173,174,172,172,170,171,173,175,178,211,208,193,183,147,145,179,186,178,160,150,122,98,83,60,39,23,162,181,175,176,173,172,170,172,174,177,178,205,206,198,181,152,135,171,172,162,155,139,108,85,66,53,16,86,186,174,177,175,174,173,171,172,175,177,174,201,204,197,179,141,130,150,155,153,142,124,92,71,61,31,66,182,180,177,178,177,176,175,172,173,174,182,185,193,199,195,157,118,132,147,152,156,138,112,92,74,44,67,180,182,178,178,179,177,177,176,171,172,181,157,140,193,184,168,146,141,149,148,161,159,132,97,90,63,34,162,189,180,180,179,179,178,178,176,172,173,187,96,13,165,199,175,170,159,140,131,159,146,106,83,78,30,117,194,181,183,182,181,180,179,178,177,172,181,154,69,48,63,164,179,166,148,127,114,139,115,83,74,38,78,195,184,185,183,184,182,182,180,179,179,171,187,106,52,74,22,46,81,74,69,65,70,92,79,66,46,39,179,190,184,184,184,185,184,184,182,181,180,175,168,71,56,68,41,0,30,24,20,9,5,6,14,23,3,34,171,190,185,185,185,185,184,182,181,181,181,181,120,56,59,64,53,0,11,26,21,11,9,4,1,0,0,0,117,199,183,186,184,184,183,181,180,181,180
24,121,123,126,127,128,128,130,130,130,130,130,130,129,129,129,127,126,126,124,124,123,121,119,119,118,116,115,115,122,125,128,128,129,130,131,132,132,131,131,131,131,130,129,129,128,127,128,128,125,123,123,122,122,119,118,116,123,126,128,130,131,132,132,134,135,134,134,135,135,134,132,131,130,130,129,128,127,125,124,125,124,122,120,119,125,126,129,131,133,133,134,136,136,135,135,135,136,136,134,133,133,131,129,130,128,128,127,126,124,123,122,121,126,127,130,131,132,131,135,138,137,137,137,136,137,136,135,133,133,131,131,131,129,129,128,127,126,125,124,122,128,129,132,130,146,116,89,143,137,138,138,138,137,137,136,135,135,133,132,132,132,131,130,128,128,127,125,124,129,131,134,131,156,93,71,146,137,139,138,139,138,138,137,136,136,135,133,132,133,132,131,130,128,127,126,126,129,131,134,135,152,68,87,147,138,140,140,141,142,139,137,137,136,135,135,134,134,133,131,130,130,129,128,127,132,134,134,142,149,67,98,149,140,142,140,138,134,142,140,138,138,137,136,137,135,134,132,131,130,130,129,128,134,135,136,146,148,64,102,156,141,141,148,146,111,80,139,142,137,139,137,137,138,137,138,135,131,130,130,129,135,136,136,148,134,84,108,120,146,105,106,149,129,78,60,140,142,139,140,138,127,113,104,127,136,132,132,131,135,139,138,151,145,151,144,112,163,111,63,136,142,91,22,84,150,140,136,116,75,58,41,76,142,135,134,131,135,140,139,151,150,173,145,137,163,127,59,129,136,79,23,45,142,138,130,86,44,46,75,107,138,135,134,132,138,141,141,152,144,180,151,149,170,121,41,87,97,51,4,18,118,139,111,61,42,119,142,139,136,136,135,134,139,144,141,157,175,177,141,152,179,108,48,0,48,85,57,68,114,115,75,44,103,151,139,140,139,138,136,135,140,145,143,163,169,156,120,105,142,78,30,27,124,144,128,117,113,82,43,71,148,142,144,142,141,139,137,136,140,142,149,160,133,137,109,65,61,65,113,164,159,139,122,101,91,72,44,132,147,144,145,143,143,141,138,137,142,142,154,175,145,130,115,96,58,164,182,166,155,136,106,86,72,58,90,154,144,146,144,143,143,140,139,139,143,141,162,182,156,132,113,125,171,190,168,162,149,121,93,69,66,59,140,152,147,146,145,144,144,142,140,141,144,142,172,186,161,147,148,177,191,181,171,156,135,105,73,68,48,89,159,149,150,147,146,145,145,143,142,141,145,142,177,188,167,157,173,190,189,176,167,143,115,83,68,58,57,146,153,151,151,149,147,146,145,146,144,143,147,143,177,194,172,159,179,187,172,151,144,122,91,72,59,53,133,159,153,153,152,151,149,148,147,146,145,143,146,143,171,198,175,156,167,171,160,133,119,99,75,63,57,133,161,153,155,153,152,151,150,150,148,146,146,144,147,147,162,178,160,155,171,173,161,135,118,89,63,38,122,166,157,158,155,154,154,153,152,150,149,149,146,145,147,149,154,161,154,163,169,160,156,127,104,77,33,66,164,158,159,157,157,155,155,154,152,151,150,150,146,145,148,150,152,168,178,169,163,149,151,122,94,62,23,118,167,160,160,159,159,157,155,154,153,153,151,148,148,147,148,150,152,181,180,153,161,149,137,115,92,49,35,149,165,161,160,161,160,158,156,155,154,153,152,151,150,146,145,148,150,189,178,142,167,143,125,115,85,53,39,151,163,159,160,160,159,157,155,154,154,153,152,151,149,147
14,167,169,170,172,174,173,173,174,175,173,172,172,171,169,168,168,167,166,165,163,162,159,158,157,155,154,153,152,169,171,172,172,175,175,176,176,176,175,175,174,173,174,171,168,167,167,167,166,163,161,160,159,158,155,153,152,171,173,174,174,176,177,177,177,178,178,179,179,178,166,171,180,174,168,168,168,165,163,161,159,160,158,155,154,173,175,176,176,178,178,179,180,180,179,168,152,148,115,101,126,148,175,174,171,167,167,164,162,161,160,158,155,174,176,178,179,181,180,180,182,183,166,137,113,85,58,46,68,81,115,144,166,172,169,166,164,162,162,159,157,176,178,178,180,182,181,183,183,177,153,108,65,49,49,47,58,79,88,92,99,173,169,167,166,164,163,161,158,178,179,181,182,183,184,181,172,156,123,58,28,34,38,35,37,44,67,61,60,172,173,169,168,166,164,162,159,178,179,181,184,185,186,177,156,132,76,41,32,26,32,34,38,34,48,52,49,95,170,171,169,167,165,163,161,178,179,182,185,186,187,174,153,100,40,44,38,36,35,34,27,32,33,56,65,54,167,174,169,168,167,163,162,180,183,184,186,187,188,180,158,109,40,38,33,38,42,32,117,120,131,77,44,48,135,184,173,169,168,167,164,182,184,185,188,187,188,181,156,111,44,32,28,40,30,78,198,191,195,172,98,65,68,115,156,173,167,168,166,182,184,186,188,188,189,181,159,102,46,47,39,27,55,177,188,183,183,186,181,99,88,74,115,179,167,168,167,184,185,186,187,190,190,183,165,114,67,52,46,32,142,200,186,188,186,189,133,95,98,71,130,181,170,170,168,184,185,188,188,190,189,182,169,127,81,54,42,37,168,195,190,188,192,171,95,94,86,66,167,178,171,171,169,186,187,190,191,192,185,180,173,130,89,60,36,54,197,194,189,189,192,112,79,90,67,97,186,175,175,172,171,187,189,191,192,193,183,180,169,133,94,57,38,43,145,188,197,199,149,88,73,81,41,136,187,175,175,172,171,186,189,191,192,193,184,180,169,133,94,61,46,43,49,74,137,157,86,91,88,52,83,184,179,178,177,174,172,187,189,192,193,194,181,185,175,130,98,67,46,50,58,61,65,67,70,85,68,72,180,184,180,178,177,176,173,189,192,192,194,193,178,189,172,128,95,70,44,47,56,66,73,68,66,79,58,166,190,181,181,178,176,174,173,189,192,192,195,191,178,189,166,123,96,76,46,47,58,64,71,75,66,45,129,198,183,184,182,180,177,175,174,189,192,194,198,189,179,184,161,122,103,77,47,48,62,71,73,72,52,74,190,188,186,185,183,181,179,178,175,190,192,193,198,186,181,176,149,120,101,76,46,48,67,73,74,63,48,178,193,187,187,186,184,182,179,178,177,191,192,193,198,186,178,165,143,114,95,74,47,48,68,70,68,38,105,205,189,191,187,185,184,184,180,178,176,190,193,194,197,185,173,163,142,110,91,71,47,50,64,66,50,47,185,195,190,190,188,185,185,184,181,179,176,191,193,194,195,188,168,155,134,107,82,65,47,49,59,56,29,149,204,191,192,191,190,188,185,183,181,180,178,191,193,195,195,186,164,156,132,103,77,60,44,47,36,32,136,208,193,195,194,192,189,187,186,185,183,180,178,190,194,194,194,185,163,150,131,103,75,52,39,34,66,160,206,197,197,196,194,192,189,188,186,185,183,182,179,188,193,191,193,175,152,145,130,102,66,47,26,97,204,204,193,194,195,193,193,190,187,187,184,183,182,179,178
19,114,123,131,139,144,145,149,152,157,160,164,168,170,173,177,177,180,180,183,186,187,188,189,188,189,191,190,191,116,125,133,141,143,146,151,154,160,163,168,171,174,177,178,180,183,184,187,187,191,192,189,192,189,194,193,192,117,128,136,142,145,149,152,156,161,167,169,172,179,180,177,183,185,186,188,189,191,189,201,183,191,194,194,194,120,129,138,144,149,151,153,159,165,165,185,179,147,170,187,183,186,190,189,192,186,212,230,112,172,199,193,194,122,132,140,146,150,151,157,162,168,165,228,190,132,104,178,187,186,189,201,204,218,220,143,98,189,199,196,196,122,133,142,149,152,153,157,166,171,163,214,210,150,133,188,206,192,198,215,213,189,129,96,175,203,199,198,198,124,133,144,152,153,152,168,155,161,171,193,209,198,207,198,194,184,165,182,157,105,121,184,206,198,200,201,200,127,136,145,152,146,200,211,164,154,161,179,187,178,161,152,161,145,119,116,120,165,208,204,201,202,202,202,203,127,138,148,149,160,230,179,167,172,181,191,189,176,160,154,133,132,98,184,204,209,202,204,204,203,204,205,204,127,138,151,144,179,203,151,152,164,184,189,184,183,175,145,97,84,122,219,204,204,206,205,204,205,206,207,206,129,138,150,145,208,207,170,170,178,171,158,154,154,128,112,89,66,156,214,204,207,207,206,206,209,209,208,208,131,141,148,157,252,219,194,189,190,181,177,170,146,83,83,87,74,184,213,207,209,208,208,208,211,210,209,208,134,143,148,165,241,211,185,165,155,169,171,161,126,84,80,88,87,198,209,210,212,212,212,211,211,210,212,211,134,145,150,162,217,203,168,141,113,106,124,124,123,87,85,82,122,215,207,210,213,213,214,214,213,213,213,212,135,146,152,159,206,205,168,105,91,54,55,118,134,93,91,85,119,219,209,213,213,213,215,216,216,216,214,213,137,149,156,156,205,209,169,120,77,41,103,134,124,84,82,81,91,207,214,214,215,215,217,217,217,217,217,217,137,148,159,151,206,207,169,131,103,66,65,70,62,61,73,85,88,200,218,215,217,217,217,218,217,218,218,217,137,150,158,149,215,211,172,139,106,91,78,57,59,71,79,86,92,203,218,215,216,219,218,217,218,218,217,217,140,151,159,146,213,209,170,135,109,99,98,78,68,74,83,81,105,214,214,217,220,221,221,220,220,222,220,219,141,150,160,144,200,198,165,133,107,98,94,80,70,78,88,82,138,225,214,220,221,221,220,220,222,221,221,221,143,151,161,150,198,191,160,125,105,97,94,82,77,84,92,82,184,224,217,221,221,222,223,223,223,223,224,223,144,154,159,163,204,184,154,121,102,95,96,89,87,91,79,123,219,216,220,222,223,224,224,224,224,224,224,224,144,156,155,171,211,182,147,117,100,98,100,94,89,84,136,211,217,218,221,222,222,223,224,224,224,224,224,224,146,158,156,177,200,177,150,125,106,101,99,95,79,127,219,214,216,220,222,223,223,224,225,224,225,225,226,226,146,157,157,188,192,166,145,126,104,91,88,88,81,181,216,213,220,220,222,225,226,225,226,226,227,228,227,226,146,157,162,211,185,162,132,112,97,83,81,80,94,199,215,218,221,221,223,226,226,227,229,229,229,229,229,229,147,153,172,215,189,169,142,124,124,90,80,74,110,211,213,218,220,222,223,225,225,227,229,228,228,228,229,230,147,158,168,198,192,172,149,140,132,90,81,71,113,214,211,215,218,220,223,224,225,225,227,227,228,229,229,229
7,164,166,169,171,174,175,176,178,178,179,179,180,181,181,182,181,179,180,180,179,180,179,177,176,175,173,170,170,167,169,172,174,176,177,179,182,181,181,182,182,183,183,183,183,182,182,182,182,182,183,180,179,177,175,173,172,169,173,174,175,178,179,181,183,183,183,184,183,184,183,183,184,185,184,183,183,183,184,183,182,181,178,176,174,170,173,175,177,180,182,182,183,186,185,186,186,186,186,186,188,187,187,187,186,185,186,185,184,183,181,178,178,173,174,176,179,181,183,185,186,188,187,187,188,189,190,190,191,191,189,189,189,189,188,188,186,184,182,181,180,174,176,180,182,183,186,188,188,189,190,190,191,191,192,191,191,192,191,191,191,191,190,188,187,186,184,183,182,175,179,183,185,186,188,189,190,192,192,192,193,193,194,193,192,192,193,194,193,193,192,191,190,188,188,186,184,177,182,185,187,188,190,190,192,193,193,194,194,194,196,196,195,196,196,196,195,194,193,193,191,190,190,188,186,182,183,186,188,190,191,193,195,196,195,198,199,196,197,198,199,198,198,198,197,197,195,194,193,191,191,190,189,181,183,187,191,193,194,194,194,199,200,188,194,198,198,198,199,199,201,201,200,197,197,193,193,196,193,192,190,182,187,189,191,192,194,199,206,214,208,168,149,174,189,188,186,190,194,187,192,185,192,177,220,201,186,195,192,184,187,189,194,201,209,211,212,214,212,194,138,139,165,174,174,171,162,165,169,167,174,161,170,154,191,197,194,184,194,205,212,214,211,208,203,195,193,178,136,125,138,159,170,171,173,166,156,161,163,148,157,152,184,197,191,209,215,213,214,207,201,194,181,177,192,194,148,117,113,117,131,145,152,140,147,155,157,152,168,160,168,164,177,222,213,208,200,191,187,182,183,187,198,194,151,123,131,129,122,110,93,132,142,139,139,134,137,147,147,158,195,218,209,198,185,177,172,174,174,183,191,168,134,114,120,138,145,134,111,147,218,206,201,201,201,199,202,206,204,213,206,198,184,174,173,174,168,169,185,181,139,102,100,118,122,127,112,128,217,208,210,209,207,207,206,204,203,209,205,200,190,182,179,181,180,177,191,193,150,124,132,131,122,119,89,190,218,210,211,209,208,207,206,207,204,202,196,194,192,189,184,181,178,178,183,183,152,135,145,141,134,115,144,223,211,211,210,210,210,210,209,208,205,186,184,187,191,191,186,179,174,174,166,144,131,110,106,116,124,99,200,214,213,213,211,210,211,209,207,207,212,97,113,146,181,189,177,165,152,138,126,121,118,57,51,79,100,130,220,213,214,213,212,209,210,212,217,213,143,13,14,31,69,120,140,126,135,146,175,202,216,118,76,109,136,203,218,216,216,215,214,213,220,199,176,139,78,12,7,2,0,2,41,185,210,218,221,216,221,206,178,205,220,220,217,217,217,215,219,219,168,103,83,66,57,4,0,0,1,0,65,234,209,214,213,215,216,218,222,218,216,217,217,216,215,219,197,112,68,77,75,63,52,0,0,0,0,0,54,232,211,216,216,217,217,217,216,217,218,218,217,215,221,224,119,58,34,52,56,48,47,0,0,0,0,0,46,227,204,212,214,216,216,218,218,219,221,222,221,225,204,113,89,68,29,23,46,41,37,5,5,0,0,0,12,123,114,117,123,124,128,132,135,136,139,141,139,151,121,42,75,66,20,14,26,31,29,17,10,0,0,0,5,90,83,82,84,85,86,86,87,89,87,87,91,110,91,31,66,59,15,8,19,22,25
13,214,215,216,215,214,215,216,217,216,215,215,217,217,218,218,217,218,218,219,218,219,218,217,217,217,216,215,215,216,217,218,217,216,217,218,217,217,218,218,217,217,219,220,220,220,220,219,219,220,219,217,218,219,219,216,215,216,218,217,218,218,218,219,218,219,219,219,219,219,220,219,219,218,217,222,223,221,220,218,220,219,219,218,217,216,217,218,219,218,220,220,220,219,218,219,221,221,220,221,229,227,202,180,207,215,220,223,220,221,219,219,219,217,218,219,219,219,221,221,219,219,219,220,222,219,228,248,249,245,215,171,137,155,159,208,225,221,220,220,219,217,217,218,220,220,219,219,220,222,222,220,220,220,226,221,233,244,224,177,134,121,131,151,233,219,220,221,220,218,218,219,220,220,220,220,221,223,219,224,212,192,213,191,183,220,226,199,146,129,177,147,224,222,221,222,221,218,219,220,220,221,221,222,223,222,224,246,212,172,203,214,208,219,214,216,153,124,155,140,222,223,223,223,222,218,219,220,221,221,221,222,222,217,229,254,221,196,165,184,216,222,202,161,126,94,153,212,224,224,224,223,223,218,220,219,220,221,224,218,227,226,172,185,232,216,182,114,149,210,209,178,161,134,133,228,226,224,224,223,223,218,219,221,221,220,217,224,246,220,156,124,202,237,197,133,71,142,175,187,209,194,133,169,236,222,225,224,223,218,219,220,221,219,228,248,231,201,165,128,163,244,197,161,96,87,97,197,229,215,180,129,211,228,224,224,224,219,219,219,219,224,241,223,202,203,181,147,124,239,205,184,128,94,93,158,241,227,201,147,147,232,223,222,223,220,220,221,219,236,226,190,185,212,189,162,98,191,234,200,163,92,102,148,231,233,201,171,128,198,231,223,223,221,220,221,221,239,233,208,178,213,194,171,137,97,222,222,188,134,124,229,223,220,197,178,136,176,236,224,225,220,219,218,222,235,224,210,180,178,201,199,175,89,118,228,214,203,157,225,221,198,171,160,126,186,234,224,225,218,218,219,219,237,241,224,201,171,173,206,185,168,86,171,223,200,204,220,207,188,160,133,120,211,229,225,224,224,224,225,223,235,245,233,212,199,182,184,181,201,143,199,238,225,232,214,197,179,155,127,135,227,225,226,225,181,183,188,186,221,248,239,222,206,199,200,185,158,168,233,244,244,224,211,194,172,147,116,169,237,230,231,230,126,125,129,116,181,253,238,230,216,205,208,207,179,169,221,242,241,223,198,185,165,138,119,154,182,182,185,185,131,131,132,124,148,242,233,233,230,217,209,206,196,161,190,239,232,217,194,168,153,130,126,125,119,116,118,125,131,131,131,133,125,213,233,230,233,229,218,207,195,178,164,222,221,205,187,158,141,128,121,125,132,152,176,202,130,132,133,135,124,160,236,226,234,234,220,208,191,181,166,190,209,191,168,154,137,118,132,192,212,225,231,231,131,132,132,133,136,124,198,235,230,227,211,198,187,176,165,168,188,181,163,147,134,108,189,246,226,218,211,219,132,133,132,131,136,126,147,236,224,210,198,190,183,173,155,154,176,183,170,139,122,121,229,231,216,206,188,183,131,132,132,131,130,134,126,212,229,198,185,186,181,169,150,141,181,194,161,130,108,171,243,225,211,175,165,170,131,132,132,131,130,137,123,190,235,206,201,196,181,164,152,139,188,187,141,122,119,229,238,238,219,167,141,167,132,132,133,130,130,135,122,181,240,215,214,204,186,169,158,137,189,171,133,110,151,240,227,247,235,181,133,149
3,95,102,106,108,110,113,118,121,123,124,125,126,127,127,128,128,129,131,130,129,130,129,129,130,131,129,128,128,97,104,109,112,114,117,121,124,126,127,129,130,130,131,131,133,137,105,129,133,132,132,133,133,132,132,131,131,102,108,112,116,119,122,126,128,130,132,133,134,134,135,135,140,146,80,110,142,136,138,137,136,136,135,134,133,106,112,116,119,123,125,129,132,134,136,137,138,139,140,139,143,146,78,90,148,140,141,141,140,138,138,137,136,110,115,119,122,126,129,132,136,138,139,140,141,142,143,143,146,149,79,78,148,145,145,144,144,142,141,141,140,112,119,122,125,129,132,136,139,141,144,144,146,146,147,148,149,158,94,73,148,148,148,148,147,147,146,144,143,114,121,126,128,132,136,139,142,144,147,147,148,150,149,149,145,165,99,63,142,153,151,152,151,150,149,147,145,117,123,128,130,134,138,142,146,147,149,150,151,151,157,170,133,108,93,77,136,158,154,155,154,153,152,150,148,120,126,130,133,138,141,145,149,151,153,156,159,141,132,181,160,94,139,94,129,163,156,157,156,155,154,153,152,123,129,133,135,140,144,148,152,154,153,144,173,169,127,153,164,121,147,69,101,170,157,158,158,157,157,157,155,124,130,135,138,143,146,150,153,155,164,147,134,172,148,130,158,112,141,97,69,151,166,161,161,160,159,159,158,126,132,137,140,145,148,152,154,158,172,177,135,114,159,119,150,110,126,134,84,100,173,163,163,163,162,160,161,127,134,138,142,147,150,153,157,162,145,140,129,73,136,98,142,157,98,136,98,84,171,166,166,164,164,163,163,129,136,140,144,148,151,156,158,166,141,106,127,69,116,100,87,100,53,117,103,86,172,168,168,167,166,166,164,132,138,141,146,150,153,158,159,165,166,133,113,91,95,142,87,28,52,142,109,81,170,170,170,168,167,167,167,133,139,143,147,151,155,158,161,168,164,115,82,70,58,107,80,47,97,162,112,70,157,174,170,170,169,168,168,134,140,144,148,152,156,160,162,168,165,134,101,79,58,59,87,118,142,143,105,69,151,179,172,173,172,170,169,136,141,146,150,153,157,161,163,169,177,147,105,85,84,93,151,182,164,124,89,76,164,177,174,174,173,172,171,136,142,147,150,155,159,163,163,168,178,154,119,103,103,109,174,182,149,117,76,86,177,175,175,175,174,173,172,136,143,148,151,156,160,162,165,168,175,161,133,111,100,117,174,173,137,108,70,105,185,176,177,176,176,175,173,137,142,147,152,155,159,162,166,168,170,161,134,117,114,115,170,167,129,97,65,130,186,177,178,178,178,176,174,137,142,148,152,156,159,162,165,168,167,159,139,129,125,107,162,153,118,87,68,152,184,176,177,178,178,175,174,138,144,149,153,157,160,163,165,168,170,159,145,130,126,100,139,139,105,79,77,169,181,177,177,176,175,176,177,138,144,148,152,156,160,162,165,167,167,168,148,130,117,88,116,114,87,71,117,185,177,179,179,178,180,170,149,140,149,153,157,162,167,169,171,173,169,177,147,129,106,89,102,93,80,83,167,180,181,174,178,172,166,145,116,100,105,108,114,120,124,128,135,135,163,177,149,133,107,99,98,91,70,117,180,152,149,164,132,142,157,115,110,80,80,81,82,82,81,81,84,82,155,170,147,135,127,106,92,81,66,157,192,156,133,144,137,116,145,91,123,85,86,89,89,89,92,96,92,99,167,161,132,128,131,98,84,69,93,148,177,159,143,116,141,123,116,89,136
1,90,98,83,69,70,62,74,28,58,84,96,104,140,111,96,127,127,133,134,137,139,142,144,146,147,148,150,151,92,101,82,72,68,67,72,29,65,86,101,107,141,123,84,127,101,125,138,138,141,143,145,148,148,150,151,152,95,102,79,75,66,73,67,30,70,84,131,116,116,140,93,138,99,98,142,138,142,143,146,148,149,150,151,153,98,102,77,78,66,79,60,33,74,85,141,123,106,143,97,139,123,87,139,141,143,145,148,149,150,152,153,154,101,100,76,81,65,83,52,38,79,88,142,129,105,157,118,127,134,86,131,145,144,146,148,150,152,153,155,155,104,100,78,84,66,88,44,45,80,88,142,135,107,164,125,122,153,97,119,149,146,148,150,152,154,156,157,157,107,97,81,86,68,91,39,47,107,107,135,153,110,156,128,126,164,112,104,150,148,150,152,154,157,158,157,158,110,97,85,85,71,92,35,53,139,113,128,156,109,146,132,117,159,123,97,149,149,150,153,156,157,159,159,160,112,95,88,84,75,89,31,62,141,109,125,155,106,145,145,111,156,131,95,148,151,152,156,158,159,160,161,162,112,93,91,82,81,86,30,66,146,112,120,162,105,140,155,109,160,139,96,144,153,155,157,159,160,162,162,162,113,92,95,80,87,78,32,69,151,130,116,166,114,120,156,103,149,143,92,138,158,156,157,160,162,163,163,163,110,92,98,78,94,70,35,71,147,133,103,164,119,95,149,96,134,151,93,131,160,155,159,162,163,164,164,164,109,93,99,75,100,61,40,74,136,139,97,150,128,121,138,132,145,130,89,116,162,156,160,162,164,166,165,165,108,94,99,75,104,52,45,75,134,154,97,133,148,129,115,143,144,100,78,103,163,159,161,163,164,165,166,168,106,97,99,74,106,45,50,77,135,144,116,141,142,140,133,164,155,106,73,86,157,160,162,164,165,166,168,169,104,99,99,75,107,38,55,78,136,148,148,133,132,137,143,155,150,128,88,69,148,164,162,165,166,167,168,169,104,101,97,80,106,32,60,79,148,163,141,122,121,126,131,128,147,150,116,70,132,168,162,165,166,167,168,170,101,106,95,86,103,29,63,81,155,158,129,114,121,128,142,154,158,164,143,90,109,168,162,166,166,168,168,169,101,109,92,92,98,28,67,81,145,158,123,109,127,129,148,174,162,165,153,109,94,165,163,166,167,168,169,169,103,110,89,97,89,28,72,81,129,162,132,116,121,135,152,174,171,156,142,105,92,165,164,166,167,168,169,170,103,111,85,103,82,28,74,84,110,159,138,121,118,140,153,175,172,154,133,94,98,168,163,165,168,169,170,171,103,113,83,109,74,31,74,88,98,149,151,130,117,135,152,172,169,150,129,90,100,168,163,166,168,169,170,170,106,116,82,116,66,34,76,88,94,134,157,137,126,125,147,168,161,142,128,88,100,168,164,167,169,169,170,170,110,118,81,123,58,37,77,87,95,114,150,144,138,126,140,162,153,136,122,84,105,169,163,168,169,169,169,170,114,118,83,126,50,40,76,85,95,103,131,149,142,136,131,145,148,130,117,81,119,167,162,165,166,167,168,168,117,115,85,128,42,44,73,83,93,103,112,145,145,138,124,127,138,119,110,84,140,164,161,163,164,165,167,167,120,111,89,127,35,46,73,81,91,103,105,138,146,132,120,120,120,115,108,85,149,159,159,163,164,166,167,167,122,108,92,123,33,50,69,75,84,97,99,130,141,123,122,126,121,115,102,81,150,157,157,160,162,164,165,164
23,153,156,159,163,166,168,171,173,174,175,175,174,174,175,175,173,173,172,171,170,169,167,168,168,166,168,184,195,156,160,164,167,170,174,176,177,178,179,180,179,179,180,180,178,179,177,173,173,172,172,171,170,168,170,154,150,159,164,168,171,175,179,181,182,184,184,186,185,184,181,181,181,176,180,183,177,176,177,176,174,173,174,161,103,163,169,173,176,179,184,186,188,189,190,190,189,189,199,214,215,184,149,168,181,184,180,180,177,176,175,179,141,167,171,176,180,183,186,190,192,194,195,197,223,223,230,238,221,205,186,176,174,169,187,184,182,180,179,177,177,170,174,179,183,186,190,194,196,199,197,210,237,206,181,173,128,142,166,162,130,138,193,187,185,184,183,182,180,172,177,182,185,189,194,197,200,202,199,227,222,203,99,116,163,181,161,140,143,186,196,192,190,188,187,186,183,175,180,183,188,191,195,199,202,204,206,236,220,198,144,178,184,215,207,207,208,202,198,198,196,193,191,189,187,177,182,185,190,194,198,202,205,206,215,231,214,224,236,199,98,188,214,203,201,203,202,201,201,198,195,193,190,179,184,188,193,195,200,204,208,207,222,231,236,247,232,191,101,171,209,215,212,208,205,206,205,203,200,197,201,181,186,189,194,199,202,206,209,208,230,245,244,219,212,167,166,230,155,158,191,207,216,208,208,207,203,209,159,183,188,192,196,201,205,207,209,224,236,232,205,182,200,182,191,221,159,88,79,106,187,217,210,208,210,198,76,186,190,194,198,203,205,212,230,234,221,207,210,217,225,221,173,169,153,92,77,74,123,224,210,207,221,143,65,186,192,196,200,202,220,229,227,225,227,234,239,233,218,200,158,94,140,108,91,84,126,224,216,225,218,92,69,188,194,199,202,206,229,216,214,210,207,218,215,197,182,172,141,73,71,94,93,80,142,237,196,170,122,73,71,189,195,200,203,211,239,223,200,194,201,202,203,198,190,180,138,82,48,82,103,96,106,121,82,56,56,68,68,192,196,200,204,212,232,220,203,205,213,218,215,192,176,163,119,84,61,106,127,111,58,40,64,61,63,65,64,193,197,200,206,209,218,222,220,220,208,210,166,140,146,136,111,82,59,84,123,111,66,44,46,46,65,62,59,193,197,202,208,211,215,221,218,210,191,164,122,73,92,138,113,74,70,94,108,96,56,55,49,44,49,56,51,195,200,204,209,213,212,212,223,223,175,128,100,66,99,152,105,62,80,98,104,78,53,49,51,53,46,46,49,195,199,203,208,212,209,204,232,216,130,97,62,72,109,98,68,79,96,95,94,63,57,55,41,42,51,49,51,195,199,203,208,212,207,202,225,192,132,105,73,49,51,57,79,97,107,106,80,45,54,59,47,33,40,43,57,195,200,205,208,213,202,204,226,192,137,112,80,53,63,91,105,113,113,105,70,36,41,57,57,38,33,38,43,195,200,205,208,213,198,214,230,199,144,118,91,72,74,107,114,116,111,94,58,38,41,46,57,47,30,37,34,201,206,210,215,220,205,210,223,197,155,123,104,83,75,95,114,116,111,79,39,42,41,43,47,55,37,30,36,166,172,177,183,190,184,210,216,194,155,124,114,91,83,83,111,118,109,57,31,43,37,38,42,45,47,26,30,110,112,114,117,111,130,208,206,184,146,127,129,93,88,89,104,114,75,50,43,40,36,30,39,39,43,34,23,122,123,123,126,113,116,210,193,165,134,141,134,93,90,89,102,73,34,50,47,45,39,28,31,37,38,37,21
12,169,173,177,181,183,186,189,191,194,195,196,196,197,198,197,197,196,196,197,196,196,195,195,195,194,193,192,190,170,174,177,181,184,188,191,193,195,196,197,198,198,192,189,199,198,176,174,196,197,195,196,196,196,195,194,193,171,174,178,182,185,189,192,194,195,198,200,199,210,196,167,174,203,189,149,160,178,163,177,198,198,197,196,195,172,176,180,184,187,190,193,195,197,200,200,204,228,224,197,155,159,211,181,126,130,153,133,183,200,199,198,196,174,178,181,185,189,193,195,197,198,200,200,219,215,220,211,160,115,177,183,126,92,137,126,133,198,200,199,198,177,179,183,186,190,194,196,199,201,201,202,221,186,204,207,150,105,163,170,121,88,119,123,101,190,201,200,199,179,181,185,189,192,196,198,201,202,206,203,165,142,195,190,138,97,165,164,114,93,125,115,102,194,201,201,200,180,184,187,191,194,198,201,203,213,227,206,142,105,146,178,150,88,158,189,130,99,148,124,120,202,202,201,201,182,186,189,193,196,199,202,217,227,222,210,155,100,106,178,145,77,155,197,127,106,177,130,150,206,204,203,202,184,188,192,195,200,201,215,227,196,195,214,162,98,68,137,123,56,104,176,118,99,161,130,185,208,206,205,204,186,190,194,198,202,205,226,220,190,171,198,154,100,58,72,76,75,107,124,130,135,140,107,171,210,207,206,206,189,193,197,200,203,211,218,193,163,134,178,152,103,62,67,83,156,197,174,165,146,132,115,130,208,209,207,206,190,195,199,203,205,209,224,198,167,123,155,149,104,67,83,130,187,204,191,167,138,112,118,110,197,211,209,208,193,197,201,204,206,212,226,203,173,134,133,150,125,79,114,175,201,200,191,167,134,107,102,110,202,213,210,209,195,199,203,207,209,221,231,211,185,153,121,142,138,100,173,207,209,202,193,154,128,102,83,145,214,213,211,209,199,203,206,209,211,228,233,218,194,163,135,125,126,152,208,215,215,210,182,137,119,94,93,195,216,215,214,211,201,205,208,211,213,230,231,222,201,172,156,141,140,181,202,211,218,204,163,127,111,82,135,218,211,192,164,136,204,208,210,213,215,225,228,226,207,182,172,155,148,180,190,212,216,189,147,119,103,81,156,153,115,82,65,59,207,211,213,215,218,219,230,227,210,191,183,166,154,186,187,212,206,169,132,108,92,70,71,58,51,48,48,45,210,214,216,219,222,217,227,223,209,196,189,172,159,186,197,195,183,148,118,100,80,51,46,44,44,43,47,40,213,216,219,222,224,219,222,223,210,196,186,174,165,177,193,177,157,131,109,94,58,34,46,46,36,37,48,44,214,217,220,223,225,218,218,225,210,194,182,169,158,164,180,165,141,121,101,82,48,26,38,51,38,30,40,48,215,218,221,223,227,218,220,223,202,187,178,166,152,160,170,154,124,110,90,64,55,28,25,43,47,32,31,43,217,220,223,227,229,219,222,218,188,176,174,161,150,161,159,140,110,95,56,42,54,40,16,30,45,41,27,32,218,222,225,228,230,217,223,224,189,183,183,169,158,162,147,127,102,75,38,27,45,50,19,18,35,45,34,24,220,224,227,229,232,198,217,226,198,200,195,174,158,158,138,119,93,57,41,22,34,48,29,11,24,42,42,27,222,225,228,231,234,152,194,228,214,219,200,169,159,156,132,113,83,48,39,25,21,41,37,11,14,34,44,36,196,201,206,211,211,117,136,219,215,216,189,159,161,155,128,108,72,51,36,27,15,35,40,15,9,27,42,41
1,79,100,101,106,112,127,145,157,161,168,174,177,181,189,189,193,192,194,196,196,197,199,199,200,200,200,201,199,87,100,102,107,113,131,149,161,165,172,179,179,192,211,152,189,199,199,199,200,200,199,200,201,200,201,201,200,94,101,104,108,114,134,153,164,169,177,184,185,204,223,132,151,161,191,208,205,205,205,205,203,203,203,201,202,99,101,106,110,116,137,157,167,173,177,214,184,173,229,134,142,154,151,219,209,211,211,211,209,207,206,205,205,102,102,106,111,119,141,159,169,176,180,229,189,144,222,133,135,171,122,211,217,216,216,216,214,213,212,211,210,102,103,108,112,123,145,163,172,180,183,229,198,135,205,138,130,173,114,197,228,220,222,221,219,218,217,216,214,104,104,109,112,125,149,167,175,182,187,232,199,122,193,157,136,182,127,182,235,225,226,227,225,223,222,221,220,105,105,110,113,129,153,170,177,190,203,208,204,120,161,152,131,188,135,169,242,229,231,231,230,228,228,227,225,106,106,111,114,132,157,174,176,206,206,185,205,122,144,154,117,181,139,163,246,234,236,235,233,233,232,231,229,107,108,112,115,134,160,178,176,229,200,167,203,122,159,169,119,201,165,160,246,238,238,238,238,237,236,234,234,108,110,114,117,138,162,180,181,233,184,156,219,135,149,166,121,200,180,153,247,242,243,243,242,240,239,239,238,108,110,114,118,141,166,183,185,234,180,140,212,141,120,150,130,192,181,138,244,246,246,245,244,242,242,243,242,108,110,113,118,145,169,185,190,239,184,121,189,133,111,142,147,206,180,135,241,251,249,249,249,248,246,246,246,109,110,112,120,147,171,188,193,243,200,114,174,177,169,163,183,210,155,122,228,255,251,251,251,251,251,250,250,109,111,113,122,151,175,192,195,242,199,124,184,224,183,167,176,177,152,110,200,255,251,254,254,252,252,253,250,109,111,113,124,154,178,195,199,241,208,173,177,151,166,157,156,148,160,142,166,255,254,255,255,255,254,255,255,109,112,113,126,158,182,197,202,254,227,178,157,135,157,159,171,160,185,185,147,204,255,255,255,255,255,255,224,108,112,113,129,161,185,197,207,255,225,174,145,142,161,168,228,218,200,221,189,132,229,255,255,242,189,127,87,109,112,113,131,164,189,199,210,255,222,164,141,148,167,199,248,255,211,234,192,120,178,255,167,97,78,74,78,108,111,113,134,166,190,202,210,255,228,165,143,157,176,215,245,255,251,211,156,116,168,155,83,76,72,85,71,106,109,111,134,167,191,202,209,251,234,174,144,162,186,226,253,255,242,196,145,125,103,73,94,91,56,81,81,107,109,110,136,170,194,204,209,247,240,196,150,164,189,228,255,253,225,187,146,120,94,77,67,96,63,57,85,101,104,107,136,171,196,206,211,240,242,213,162,165,188,228,255,239,211,177,141,117,92,82,54,77,83,47,68,119,115,116,141,174,198,209,215,234,236,221,176,168,181,228,247,229,205,165,134,113,93,73,60,56,85,57,52,152,150,151,150,151,159,165,169,178,227,225,185,182,177,216,232,221,194,156,129,106,88,80,60,49,74,71,42,146,146,146,148,147,149,149,152,146,199,230,195,185,176,194,220,206,178,144,121,99,67,84,64,43,66,81,48,148,148,150,152,154,154,156,157,155,165,218,200,186,178,171,197,188,160,130,110,100,69,72,65,45,55,82,63,147,148,149,151,152,153,154,156,158,153,197,210,189,183,165,172,178,150,120,100,102,83,57,44,54,48,77,75
24,80,91,101,109,116,119,120,125,131,134,137,140,142,143,146,148,149,151,153,154,154,154,153,153,153,153,152,152,80,92,103,111,118,120,121,126,132,136,138,142,144,145,148,149,151,153,154,155,155,156,156,155,156,155,155,155,81,93,104,112,118,122,123,129,134,137,140,143,146,149,150,151,152,154,155,156,156,157,157,156,156,156,156,156,83,94,105,114,120,120,127,131,135,138,142,145,147,150,152,154,154,156,157,158,157,159,159,158,158,157,157,157,83,96,105,116,120,147,120,128,138,140,143,146,149,151,154,155,156,157,159,160,160,161,160,160,160,160,159,160,83,96,106,115,125,161,99,107,144,141,145,148,150,153,155,156,159,159,160,161,162,162,161,161,161,162,162,161,85,97,108,117,124,142,94,86,142,143,147,150,152,156,157,159,160,164,164,163,164,162,164,163,162,162,162,162,85,98,109,118,121,143,105,70,131,149,148,153,154,154,156,167,168,140,155,168,164,165,165,165,164,164,163,163,86,99,110,120,124,133,123,80,103,151,147,139,161,158,113,152,181,131,95,160,169,166,166,167,166,165,166,165,87,100,111,120,127,129,146,98,74,140,166,123,161,173,101,129,172,128,78,107,175,167,168,167,167,167,167,166,87,101,112,121,128,128,141,118,93,141,191,143,175,181,111,159,159,96,74,79,163,171,169,168,168,169,169,168,89,101,112,123,129,131,137,155,116,143,204,148,168,177,106,167,150,78,64,70,133,179,168,171,171,171,167,159,90,103,113,123,130,132,135,150,137,162,196,141,151,178,108,173,156,76,66,76,99,182,170,173,171,166,157,141,90,104,114,124,131,134,134,150,191,167,180,152,136,167,110,185,158,64,62,76,69,161,180,169,170,171,145,107,92,104,116,125,132,135,135,157,179,145,153,141,105,149,114,194,131,50,70,85,75,109,168,163,174,155,106,80,93,106,117,126,132,136,137,155,196,164,144,131,96,137,115,89,56,67,79,98,120,129,149,154,143,100,80,147,93,107,118,127,132,135,138,151,198,177,144,128,135,137,154,90,95,147,142,150,147,141,134,125,90,94,166,182,93,107,119,128,134,136,139,149,193,182,160,136,131,137,164,167,188,182,171,159,143,123,109,85,90,175,182,176,94,108,120,128,134,136,140,148,191,183,157,136,146,179,194,198,184,172,161,147,125,103,78,82,171,184,178,179,95,109,120,128,134,136,141,146,185,186,163,151,156,181,197,196,182,164,149,127,103,72,87,168,186,179,181,180,96,109,119,129,135,137,142,144,174,189,171,160,151,178,196,191,176,153,132,109,71,109,182,185,181,183,182,181,96,110,120,130,136,138,143,147,166,188,172,151,140,173,180,170,161,141,118,73,115,191,186,183,184,184,183,182,95,109,119,130,136,137,142,147,161,180,155,135,139,172,165,149,134,114,73,111,191,184,183,185,185,184,183,182,95,109,119,129,134,136,140,146,157,174,154,147,151,173,159,133,113,76,79,183,186,183,183,183,183,183,183,183,95,109,120,129,135,136,141,148,157,192,175,165,159,169,151,118,103,65,134,189,181,183,185,185,184,184,184,183,95,108,120,130,135,136,142,149,156,198,188,170,153,164,138,110,93,71,161,187,184,185,186,186,185,185,185,185,95,108,119,129,135,136,142,148,154,183,174,157,151,164,133,119,78,74,172,186,184,185,185,185,185,185,185,185,93,107,119,129,134,136,142,146,157,178,160,140,147,156,130,112,64,76,179,186,185,185,185,186,186,186,186,185
8,85,94,99,105,112,118,121,125,129,133,136,138,140,141,143,144,144,145,145,145,146,145,145,145,145,144,144,143,88,97,103,110,117,123,127,128,136,138,141,143,145,146,147,147,147,148,148,148,148,147,147,147,146,144,145,144,95,103,108,116,124,130,132,155,124,143,148,150,151,152,153,152,151,152,155,154,153,152,151,151,149,148,148,146,98,108,112,120,129,133,141,182,93,127,161,156,158,158,159,160,159,158,159,159,158,156,156,155,154,153,152,150,101,111,115,124,132,138,151,198,88,111,170,162,165,166,166,166,167,165,164,164,167,165,161,161,160,160,159,156,107,115,119,129,138,141,156,208,87,109,177,167,171,173,174,172,170,173,176,175,157,163,171,167,166,166,165,161,112,118,124,134,143,146,157,204,95,108,183,173,176,173,171,180,195,129,128,206,154,99,164,176,172,172,171,167,116,121,129,138,146,152,162,212,112,99,186,177,189,196,126,162,209,140,87,163,170,106,107,185,178,179,176,174,119,125,134,144,153,157,168,215,137,105,179,181,220,232,199,183,157,149,163,190,125,74,76,165,187,182,181,179,121,128,138,149,157,162,168,216,170,141,168,206,219,219,225,171,154,159,169,170,132,76,32,136,198,184,185,184,126,132,142,153,162,168,169,209,178,167,194,211,181,153,232,177,146,161,136,119,148,104,34,149,200,188,188,187,130,135,146,156,164,173,172,205,202,175,198,207,186,117,164,202,109,79,71,131,170,122,64,175,201,194,193,190,133,139,150,161,169,176,176,205,225,150,184,176,165,143,126,192,119,41,24,181,194,148,75,131,211,196,197,194,136,142,152,164,171,179,180,204,235,146,127,170,122,125,121,165,148,96,31,150,223,172,98,67,199,204,199,197,138,144,157,167,173,182,185,200,232,185,98,126,128,109,132,159,167,99,149,217,203,174,112,48,160,216,202,202,139,147,160,170,178,185,189,200,240,212,134,91,149,116,162,208,170,146,217,223,177,132,104,57,161,220,205,204,141,150,163,171,180,186,194,198,241,222,166,105,113,128,170,222,207,232,229,194,163,116,80,68,199,215,208,212,146,152,165,176,181,188,195,201,240,233,193,139,103,129,158,225,226,236,224,184,140,104,55,110,237,226,222,199,145,152,167,176,184,191,197,202,237,240,208,162,126,134,149,213,234,230,205,167,125,92,48,177,199,139,93,43,146,153,167,178,186,192,199,200,231,239,218,175,156,142,143,189,230,225,190,147,111,80,51,73,32,9,13,20,147,155,169,180,187,194,201,203,222,232,226,190,174,164,130,169,206,215,181,131,103,71,32,1,10,13,8,23,148,158,171,181,190,196,202,206,212,229,228,203,181,177,125,161,181,203,166,121,91,64,19,1,3,20,0,7,148,158,172,182,189,196,203,209,205,219,224,207,187,170,126,129,173,171,150,104,80,43,17,2,0,12,16,0,146,157,172,182,188,194,201,208,209,204,222,209,190,162,128,103,154,151,130,95,72,10,0,20,0,0,17,7,148,159,173,182,189,194,201,207,214,201,229,223,194,163,130,101,125,144,114,87,55,0,0,11,11,0,1,13,149,160,174,182,189,196,202,208,213,204,226,219,183,154,132,103,111,123,105,72,36,0,0,0,16,0,0,9,149,160,174,183,191,196,202,207,215,194,230,194,160,160,142,111,101,109,106,58,11,18,0,0,6,15,0,0,145,156,166,176,184,192,200,208,205,154,244,197,174,182,154,113,94,101,101,39,0,19,0,0,0,15,4,0
6,177,180,182,182,182,182,184,183,182,182,182,181,180,179,179,180,178,178,176,175,174,173,172,172,171,169,167,165,180,180,182,185,185,185,185,185,185,184,185,184,182,180,180,180,179,178,177,176,176,176,176,173,173,171,168,166,180,182,184,185,186,186,187,186,186,185,185,185,183,182,181,181,181,179,178,177,177,177,175,173,173,172,170,169,180,183,185,186,187,189,188,188,189,188,187,187,185,185,183,182,182,182,180,179,179,178,177,175,175,173,172,171,183,185,186,188,189,190,190,189,191,189,188,188,188,186,185,185,186,184,180,177,177,176,177,173,172,170,164,169,184,185,187,190,191,191,192,191,191,191,192,191,189,185,179,175,170,170,168,146,151,163,162,147,160,152,170,196,185,187,189,191,192,192,191,192,191,190,179,170,172,174,168,171,172,173,163,158,151,172,169,154,161,157,161,184,186,188,190,192,192,193,192,191,195,195,170,152,163,174,176,181,182,180,163,146,146,141,142,129,122,122,113,122,187,189,190,192,193,194,194,190,206,203,177,165,155,155,157,152,148,140,132,121,97,97,85,103,132,137,155,168,189,190,192,193,193,194,195,193,214,207,193,177,159,147,142,134,128,118,103,84,59,47,61,170,188,183,182,178,191,191,192,193,195,197,193,204,218,212,203,169,138,134,140,147,144,138,127,120,117,76,145,191,179,179,178,177,191,192,194,194,196,198,193,214,221,217,191,140,120,129,133,144,148,144,134,125,127,90,154,191,183,182,180,178,191,194,196,196,198,196,196,222,216,214,163,126,134,129,119,125,142,128,122,122,109,74,162,190,184,182,180,179,192,194,197,197,199,191,207,221,214,213,183,167,148,132,110,118,144,134,131,132,106,100,192,186,185,184,182,180,193,195,196,198,197,196,217,216,216,218,215,200,156,130,140,147,145,135,124,112,112,96,172,191,185,184,182,180,194,197,197,200,192,207,219,218,218,213,213,202,146,120,128,133,135,128,113,105,103,77,171,191,186,185,184,181,193,196,197,196,193,212,217,220,213,208,205,185,145,125,118,110,116,121,118,112,86,109,193,188,187,187,184,180,192,193,197,183,200,215,216,216,207,202,196,192,174,154,117,86,102,122,116,113,80,150,196,185,187,184,180,182,192,197,189,179,212,215,216,210,210,209,200,195,202,180,129,106,124,139,125,105,92,101,191,186,184,184,190,171,194,199,179,195,212,214,212,211,214,206,195,204,202,165,116,105,113,111,102,91,75,97,191,190,194,187,134,70,196,186,188,207,210,210,206,202,197,193,194,200,180,140,111,108,104,93,84,79,88,171,199,181,134,81,41,35,192,180,200,205,209,201,193,188,182,186,183,167,144,120,108,95,85,126,137,155,177,159,112,65,35,32,33,33,180,188,203,203,204,193,182,179,176,173,169,146,126,115,119,104,132,164,135,113,76,47,22,16,25,31,28,26,170,201,200,200,190,179,168,163,173,166,155,144,134,116,93,65,59,37,26,23,26,34,9,14,20,25,23,24,185,203,200,196,186,177,162,155,155,147,135,126,105,78,50,30,19,24,23,28,32,23,1,9,14,20,22,20,199,201,198,190,180,161,143,141,132,114,102,88,64,39,29,38,16,13,17,22,27,18,0,5,11,19,20,17,203,200,196,193,166,133,131,127,118,103,72,49,33,24,23,35,21,6,18,19,21,13,0,3,12,20,17,18,203,199,194,186,137,125,145,132,109,85,41,31,22,19,19,28,22,10,18,9,18,7,0,4,12,19,14,14
0,244,242,243,243,244,243,243,241,243,244,244,244,243,242,242,242,241,240,240,238,236,235,235,235,233,231,231,231,248,247,246,246,247,247,246,246,246,246,246,245,246,245,243,243,242,241,241,240,239,238,237,238,236,234,233,232,249,250,249,249,249,250,249,249,248,247,247,247,247,246,246,245,244,242,242,241,241,239,239,239,236,234,233,233,249,250,250,250,250,249,249,249,250,249,250,249,248,246,248,247,245,245,245,241,242,242,240,239,239,238,237,234,250,250,250,250,250,250,250,250,251,250,251,251,251,249,249,252,248,247,250,249,243,242,243,242,241,240,238,238,253,252,253,251,251,251,251,251,251,251,252,251,249,251,244,227,246,254,229,224,250,218,212,249,241,240,240,240,253,253,253,253,252,252,251,251,252,251,252,255,255,248,206,163,160,211,183,151,176,221,152,241,244,242,242,238,254,254,254,254,254,254,255,255,255,255,255,231,203,217,202,170,118,127,188,154,113,220,152,198,255,240,244,240,255,255,255,255,255,254,253,254,234,233,242,208,148,125,197,179,150,137,190,161,117,195,189,124,231,251,241,243,255,255,255,255,255,255,252,240,195,143,219,203,160,111,187,188,165,134,198,165,107,162,204,138,133,230,247,242,255,255,255,255,255,255,240,232,203,149,202,211,173,125,181,195,154,130,204,168,101,118,210,176,120,152,255,241,255,255,255,255,255,254,227,224,216,172,183,221,172,129,157,198,151,113,176,152,92,120,216,186,111,162,255,242,255,255,255,255,255,248,212,202,215,182,166,212,166,126,138,197,149,81,107,106,74,176,223,178,98,218,255,245,255,255,255,255,255,242,232,187,196,177,132,192,173,137,100,134,108,52,84,85,132,218,216,147,125,255,247,249,255,255,255,255,255,235,211,154,164,132,83,155,165,129,67,63,80,129,178,159,195,219,194,112,179,255,247,250,255,255,255,255,252,232,220,179,143,103,74,92,116,79,60,99,177,220,216,202,179,202,167,89,228,255,249,250,255,255,255,255,249,236,234,206,162,140,122,124,135,140,166,205,226,218,209,203,161,159,124,102,255,253,252,250,255,255,255,255,247,236,242,212,182,159,147,159,191,219,229,234,234,221,202,190,142,123,79,189,255,252,253,251,255,255,255,255,248,228,243,217,189,155,157,168,220,234,237,239,233,208,189,172,131,72,149,255,254,255,254,253,255,255,255,255,254,218,233,220,197,170,165,186,236,239,236,239,220,192,170,153,89,119,255,255,255,255,255,254,255,255,255,255,255,221,229,227,204,192,177,202,234,239,237,225,197,179,157,116,88,244,255,255,255,255,255,253,255,255,255,255,255,232,216,229,218,203,179,205,230,231,227,207,177,160,135,77,206,255,252,255,255,254,253,251,255,255,255,255,255,249,211,224,217,198,178,197,221,213,203,181,155,137,78,162,255,254,255,255,255,254,253,252,255,255,255,255,255,255,219,220,207,190,178,188,210,198,182,158,133,79,128,255,255,255,255,255,255,255,255,254,255,255,255,255,255,255,226,220,200,182,178,182,203,189,161,142,86,120,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,226,217,208,204,199,188,195,184,149,108,88,254,255,255,255,255,255,255,255,255,255,254,255,255,255,255,255,229,224,227,221,216,203,191,189,169,129,77,172,255,255,255,255,255,255,255,255,255,254,252,226,230,234,237,240,213,228,237,226,214,203,193,174,143,116,81,224,255,255,255,255,255,255,255,255,255,255,253
8,146,148,148,150,150,150,154,150,151,150,149,149,148,148,147,145,143,143,142,141,139,137,137,135,131,131,129,128,148,150,151,152,152,146,133,153,153,152,151,150,150,149,148,146,145,144,144,143,142,140,138,136,133,132,130,129,151,151,153,152,158,142,66,133,162,155,155,153,151,150,149,148,147,145,144,144,143,142,139,137,135,133,132,132,152,153,155,153,159,122,56,114,167,155,156,154,153,153,151,150,150,148,147,146,144,143,141,140,137,134,133,133,152,155,157,156,160,121,47,119,169,157,158,155,155,155,153,153,152,151,149,148,146,144,143,142,139,135,135,134,155,156,157,159,160,116,38,133,167,159,159,161,160,156,155,154,153,151,153,155,145,146,145,143,141,138,137,136,157,158,160,159,163,118,38,130,170,160,161,148,158,162,158,161,155,109,81,124,122,112,151,143,144,142,140,138,159,160,161,160,166,136,51,117,174,163,141,95,84,153,123,95,115,112,70,43,100,76,153,144,144,142,142,139,160,161,161,163,166,132,43,101,179,153,134,117,74,90,110,64,56,120,96,39,58,68,133,153,144,144,143,141,160,162,164,164,165,133,71,77,176,147,142,133,91,65,111,81,63,120,84,40,32,60,71,154,147,144,144,142,161,164,166,167,166,157,119,70,159,151,137,144,98,51,101,97,57,100,72,35,17,70,46,96,157,145,145,143,162,165,165,166,167,165,126,75,124,128,109,141,102,53,78,105,46,81,110,56,17,73,49,64,160,145,146,144,163,165,166,167,168,169,133,123,112,114,85,124,103,49,50,103,51,73,133,59,32,90,41,95,163,146,148,145,165,166,168,169,170,171,165,143,107,95,86,106,105,56,38,78,46,5,60,24,53,92,35,128,158,149,149,146,167,167,168,170,170,171,169,125,90,63,59,80,120,101,37,17,18,27,15,63,106,77,44,152,154,152,150,148,168,167,169,171,172,173,165,124,98,67,50,53,128,113,59,18,70,121,112,102,112,53,61,167,152,151,149,148,167,168,171,172,173,173,173,148,113,72,54,53,99,92,51,62,125,123,123,88,74,31,89,169,153,153,150,148,166,169,173,172,174,174,171,152,116,82,59,53,87,108,109,132,144,117,109,77,46,25,141,163,155,153,151,150,167,169,172,173,175,175,171,157,125,95,70,53,92,148,158,154,138,109,96,68,14,82,171,157,157,154,153,151,168,169,173,174,176,176,167,155,131,98,71,65,108,158,148,144,124,98,83,49,25,156,164,159,157,156,154,152,170,171,172,174,175,176,161,148,139,103,78,78,120,148,146,139,111,90,72,20,97,176,160,159,158,157,154,153,171,172,172,175,177,178,164,154,144,108,89,82,126,140,144,128,98,80,48,33,164,167,162,160,160,159,156,153,172,173,174,177,178,180,173,160,150,118,94,78,121,131,127,109,82,65,14,106,179,164,164,162,161,159,156,154,170,173,176,176,177,180,176,167,148,119,95,83,110,120,108,90,67,29,44,174,168,168,164,163,162,159,156,154,172,174,176,176,177,179,178,164,140,115,98,90,98,112,97,77,50,18,149,175,167,167,164,164,161,159,158,156,173,175,176,176,177,179,178,165,141,125,115,107,96,106,90,69,20,105,185,168,168,167,165,163,160,159,159,156,172,174,177,179,179,177,174,170,148,141,122,114,102,99,75,41,47,177,173,172,170,168,166,163,160,160,158,155,173,175,178,178,181,170,165,172,152,146,119,114,102,79,63,24,108,186,172,173,170,167,167,165,163,161,160,157
23,63,67,71,82,95,107,116,119,123,129,137,142,146,150,151,154,158,161,163,164,162,163,164,164,166,165,163,163,63,67,72,85,97,109,118,122,125,132,139,144,148,151,152,156,162,163,164,166,166,166,166,166,167,165,165,164,64,68,73,86,99,110,119,124,126,133,140,146,150,153,156,159,162,164,167,168,168,169,169,168,169,168,167,167,64,68,73,87,100,112,121,125,127,135,142,148,152,155,160,161,164,166,169,169,169,169,170,170,170,170,169,168,67,70,73,87,102,113,122,127,131,138,144,150,153,156,160,162,165,168,168,169,171,170,170,170,170,171,170,167,66,69,76,89,103,115,122,127,132,139,145,151,154,158,162,164,167,169,170,171,174,173,172,171,171,171,170,170,65,69,76,90,103,116,125,127,132,141,148,153,156,160,164,166,169,170,173,174,170,172,169,173,176,172,169,171,66,69,77,91,105,118,126,130,134,142,150,155,159,162,166,169,169,173,173,169,203,214,184,174,169,172,173,171,65,69,78,93,105,118,127,131,135,143,151,157,160,164,168,170,173,173,179,225,243,196,191,162,93,166,178,174,66,69,78,94,107,120,128,132,137,146,154,158,162,167,169,174,173,184,252,217,170,93,129,138,142,179,177,177,67,70,79,95,109,122,131,133,138,147,155,160,164,167,170,175,169,227,255,124,67,146,183,182,187,180,179,178,67,69,79,96,110,124,131,134,140,148,156,162,167,170,174,175,178,253,255,170,186,173,166,186,182,182,181,180,66,69,79,96,111,123,132,135,142,151,157,164,170,169,173,175,206,255,255,255,245,133,122,200,182,184,184,182,66,70,81,97,111,126,134,136,144,152,158,168,165,184,211,221,248,188,217,204,188,112,84,167,184,187,186,184,67,72,83,98,113,128,136,140,146,153,162,163,189,230,222,230,252,200,235,237,198,108,67,130,160,196,186,187,67,71,83,100,115,129,138,142,148,156,161,177,231,206,196,204,203,179,206,224,179,95,56,88,106,202,190,189,68,71,82,100,116,130,140,142,148,159,157,238,255,228,215,216,200,184,184,141,119,95,50,91,69,132,199,190,68,71,84,100,115,130,140,143,149,159,164,255,255,230,184,186,205,200,186,120,90,104,39,86,91,80,172,199,67,69,83,102,116,132,141,143,149,158,168,252,255,211,152,115,130,154,159,102,100,101,30,82,94,102,187,196,67,70,84,102,118,133,140,142,150,158,172,255,255,173,108,81,43,167,157,90,110,73,55,97,90,144,205,195,67,69,87,103,118,133,141,145,154,158,176,255,241,167,111,62,72,168,129,94,80,36,77,105,109,196,201,201,66,69,86,103,119,135,142,145,155,156,187,255,229,163,117,75,63,77,78,55,45,56,78,93,150,212,201,202,63,66,85,103,117,132,140,142,153,154,197,255,221,161,117,71,31,39,46,61,84,86,84,91,186,206,202,202,62,65,83,101,118,133,142,144,155,155,211,255,214,163,117,83,56,71,88,96,104,95,81,140,210,204,204,203,61,65,82,100,117,134,143,145,156,156,209,252,204,158,121,91,70,76,102,107,107,88,105,208,207,206,206,205,58,63,80,100,118,133,143,145,156,156,211,240,191,160,128,99,84,79,104,111,110,80,155,218,205,207,207,205,53,59,77,97,116,132,140,144,154,157,222,227,196,180,145,112,93,81,102,109,97,112,207,210,208,207,206,206,57,62,77,95,112,128,137,141,153,159,239,235,213,196,162,119,99,87,99,100,101,186,214,205,206,205,206,205
4,186,186,187,187,187,187,187,187,187,186,187,188,186,186,187,185,184,181,182,181,181,180,177,177,175,174,174,172,188,188,190,190,190,190,190,190,190,189,189,190,192,189,187,187,188,190,186,183,182,180,180,179,178,177,176,174,193,193,193,193,193,193,193,193,193,193,192,190,187,194,193,183,154,143,184,190,189,187,182,182,182,180,179,178,195,195,194,195,195,194,194,194,194,193,193,176,148,150,192,186,152,105,131,187,148,158,188,184,183,182,181,179,198,197,197,198,198,197,196,197,197,196,201,204,175,140,127,180,173,131,88,148,140,92,146,196,182,185,183,182,199,198,200,200,200,200,199,200,198,191,187,191,200,173,121,121,180,152,91,121,152,97,87,194,186,187,186,184,201,201,201,201,201,202,202,204,193,180,178,129,152,172,106,84,176,151,91,99,154,115,73,188,190,188,187,185,203,203,203,204,204,203,203,203,197,193,183,128,102,150,96,77,153,118,67,122,160,122,87,196,193,191,190,189,204,204,205,204,205,206,205,206,188,142,173,146,96,127,133,76,117,102,53,130,130,81,106,207,192,194,193,191,206,205,207,207,207,206,206,206,203,142,125,175,130,106,163,85,92,122,117,123,84,42,132,210,194,196,195,193,208,207,206,207,208,207,205,209,191,123,94,163,135,153,161,138,142,140,172,137,72,46,174,204,197,198,196,195,208,208,208,209,208,208,207,210,191,162,158,126,71,173,162,149,160,145,157,127,81,73,203,201,200,200,198,195,209,209,209,209,210,210,209,209,204,187,144,102,65,99,134,122,125,122,115,114,102,70,171,211,200,200,199,197,210,210,210,210,211,210,209,207,205,173,128,89,78,75,96,109,108,103,92,127,119,88,91,208,203,201,201,200,211,211,211,211,211,212,210,208,196,153,114,85,83,104,110,143,153,148,126,135,136,126,69,149,216,200,202,201,213,213,214,213,213,213,211,204,197,166,129,94,96,105,132,176,175,192,177,148,179,150,89,86,212,203,203,201,214,215,214,215,214,215,213,202,198,170,131,91,91,115,153,188,189,202,207,185,166,149,86,80,210,205,205,203,215,215,215,215,215,215,215,195,196,181,140,101,99,117,157,197,198,207,196,178,155,119,65,119,220,205,205,204,215,215,215,215,216,216,216,190,195,190,148,116,109,112,168,204,209,208,187,164,143,100,56,176,216,206,206,205,216,215,216,217,217,217,220,190,187,191,159,124,112,119,175,210,209,199,177,153,134,79,80,216,209,208,207,206,216,216,217,218,217,217,220,195,173,180,160,128,113,125,186,207,196,187,165,138,118,61,137,224,207,209,208,207,215,216,216,217,217,217,220,210,169,180,167,132,124,131,192,196,185,174,150,123,94,62,197,218,211,210,208,208,214,215,215,216,216,216,216,219,183,179,172,148,145,127,187,185,182,158,133,110,63,108,225,210,212,210,208,208,215,215,216,216,216,215,215,221,200,173,174,162,145,118,166,174,171,144,112,86,54,188,216,209,209,209,208,207,216,215,216,217,217,217,217,220,209,180,170,154,139,119,144,154,141,114,87,47,127,226,210,212,210,210,209,207,216,216,217,217,217,217,217,221,211,187,173,153,134,122,132,142,117,88,60,66,211,216,214,214,211,210,209,208,216,218,217,218,217,217,219,221,200,189,175,157,143,135,129,136,120,86,46,137,230,212,216,214,211,210,209,210,216,216,217,217,217,217,219,217,184,188,179,170,167,151,137,128,112,76,56,186,223,215,214,214,212,210,210,201
6,207,207,207,208,209,209,211,211,210,211,210,210,209,209,209,209,207,206,207,207,205,202,203,203,202,199,198,199,208,209,210,210,210,210,212,212,212,212,212,212,212,211,212,212,210,209,207,208,208,205,204,203,203,202,200,199,209,211,212,212,212,212,212,213,214,214,215,215,215,215,215,214,213,211,209,209,208,208,205,204,202,202,201,199,210,211,213,213,214,214,214,214,216,216,216,216,214,215,216,215,214,213,211,210,210,208,207,206,204,204,203,202,212,213,214,216,216,215,215,215,216,216,215,216,217,217,216,216,215,215,214,213,212,210,210,207,206,206,204,203,215,215,216,217,218,217,216,216,216,216,216,216,218,217,216,216,216,215,215,215,214,213,211,210,209,207,205,205,215,216,218,217,217,218,218,218,218,217,217,218,220,219,219,218,217,217,215,215,213,213,211,210,209,207,207,207,218,219,219,219,219,219,221,220,219,219,220,221,222,222,222,221,219,219,217,216,216,216,214,213,209,207,208,207,219,219,219,221,221,221,222,224,223,222,216,215,220,220,219,218,219,218,219,211,214,209,210,206,205,225,214,206,220,221,222,222,224,226,229,230,226,218,201,184,204,216,220,218,221,216,207,207,209,206,209,204,207,231,195,204,224,225,226,227,227,222,217,219,221,219,211,170,158,190,202,202,200,194,190,187,183,183,182,181,175,176,189,213,225,221,220,220,219,213,211,215,216,215,214,174,133,128,128,145,152,158,161,163,172,180,185,187,192,205,216,214,217,213,212,211,208,203,204,201,196,190,179,152,138,134,119,146,199,213,217,219,221,222,223,221,220,222,220,218,216,208,201,197,196,199,198,192,190,196,193,152,129,132,144,141,168,220,230,225,224,223,221,222,215,193,178,177,214,204,194,190,191,192,195,195,199,211,213,166,129,117,136,146,136,144,211,228,225,224,224,219,159,127,125,122,211,202,191,183,180,183,192,197,203,202,190,166,144,138,133,131,138,132,164,231,227,224,229,185,126,129,126,122,213,206,196,187,183,183,185,188,202,206,174,147,148,152,150,140,130,125,168,228,225,226,218,154,125,120,118,119,209,205,199,192,187,187,185,182,189,203,188,146,119,140,161,160,142,124,200,232,227,220,147,121,108,94,86,74,204,204,202,197,191,190,190,190,199,207,178,147,136,131,137,151,154,136,174,188,162,140,113,107,95,81,72,65,190,205,207,205,197,193,191,189,192,200,181,156,150,152,144,133,138,136,129,126,121,110,101,92,84,76,67,66,121,186,209,203,198,196,190,185,176,175,171,159,167,167,157,151,134,109,102,115,116,107,100,91,80,73,65,62,55,93,176,188,177,173,166,164,163,149,137,120,140,155,164,158,132,95,79,100,103,96,96,96,87,73,63,59,53,51,74,165,193,195,202,209,220,216,129,117,119,139,150,130,126,99,76,78,95,92,88,94,95,77,64,58,43,34,103,199,207,206,209,210,212,214,196,172,163,151,122,97,124,97,70,64,78,86,82,87,95,85,66,58,34,36,116,133,132,133,136,136,138,140,143,143,155,147,102,86,121,96,64,63,71,76,78,82,92,88,68,59,36,34,112,130,128,126,127,127,128,126,124,136,145,134,92,80,112,89,62,62,69,71,72,76,84,86,70,59,38,33,125,135,133,134,133,130,130,132,138,131,112,105,93,75,107,82,63,54,65,67,69,72,78,84,76,62,26,49,137,135,135,134,136,135,135,131,121,108,105,93,89,75,99,78,62,56,58,61,64,68,75,81,77,64
13,141,143,144,145,145,147,148,148,146,146,146,147,147,146,145,144,144,143,142,141,140,139,138,137,136,136,135,133,143,144,145,146,147,149,150,151,150,149,148,148,148,147,147,145,144,143,143,144,142,141,139,138,137,136,136,135,145,146,148,148,150,151,151,152,152,151,150,149,150,148,149,147,146,145,145,146,144,143,141,140,139,138,138,137,146,149,150,150,151,153,151,152,152,152,152,150,150,151,151,150,149,152,149,146,145,143,143,143,142,141,139,138,148,150,151,152,153,153,153,153,153,152,153,152,153,152,150,150,132,121,147,148,145,153,146,144,144,144,143,140,149,152,154,154,154,154,156,155,155,159,156,156,150,152,156,148,104,46,65,144,110,101,144,148,144,145,145,142,152,152,155,154,157,158,156,161,147,122,156,161,123,96,147,135,97,52,21,94,91,35,70,153,146,145,145,143,152,154,157,158,158,158,163,173,148,77,93,154,119,68,125,144,92,63,21,79,85,57,26,121,155,145,145,145,154,156,159,160,160,156,190,180,148,90,90,149,109,76,144,173,107,63,33,111,97,67,12,111,158,147,147,146,156,158,160,160,161,161,198,184,152,91,103,154,104,69,176,179,101,52,73,149,94,50,17,125,157,149,148,148,157,160,161,162,159,185,197,168,155,83,96,149,110,53,113,146,70,41,55,86,50,20,27,145,155,151,151,150,159,161,163,160,172,195,167,138,108,53,92,144,101,57,4,38,70,63,51,50,55,24,59,163,152,153,153,152,160,162,163,159,190,194,151,102,65,33,85,106,79,31,0,0,48,45,70,95,96,60,75,167,153,156,154,153,162,163,164,164,206,202,178,130,91,28,63,77,52,50,81,123,128,118,122,106,116,94,51,150,160,157,156,155,162,165,164,176,212,197,180,165,134,71,68,112,132,166,173,163,154,142,132,92,80,76,40,115,169,158,159,157,165,167,164,182,210,196,184,170,138,122,128,164,179,170,162,154,146,130,116,95,70,73,46,88,173,159,160,158,167,168,163,186,208,197,184,170,145,144,156,170,180,166,159,154,144,126,106,94,77,69,44,67,172,160,160,159,167,167,164,187,205,194,185,167,149,146,157,167,181,168,160,153,133,112,99,86,65,60,24,96,172,160,160,160,168,168,165,181,202,193,180,158,139,136,150,160,165,161,155,140,117,102,88,68,55,20,64,169,162,162,162,161,166,172,180,178,189,182,159,137,128,144,151,154,146,149,144,126,111,90,69,52,19,29,158,169,164,164,163,162,176,148,97,164,178,164,153,144,138,150,156,146,135,127,120,101,81,61,41,12,36,147,172,165,166,165,164,162,177,89,10,65,183,179,174,171,148,137,151,137,110,95,98,77,56,27,32,94,164,173,168,168,166,167,165,163,119,43,52,29,80,172,180,170,147,123,134,117,86,76,74,46,15,65,159,181,171,168,171,168,168,167,166,165,61,40,42,43,27,61,120,118,113,110,126,98,71,62,42,15,105,179,177,170,173,172,171,170,169,168,167,166,51,41,35,36,45,0,3,22,22,26,42,43,39,32,9,113,192,175,173,174,174,174,171,171,171,169,167,166,43,35,34,31,42,20,0,12,11,2,0,0,0,0,0,131,179,178,175,175,174,173,171,172,172,170,169,167,39,36,30,27,37,28,0,0,6,0,0,0,0,0,0,12,180,176,175,175,174,172,172,172,171,169,168,166,38,33,31,19,32,23,0,0,0,0,0,0,0,0,0,111,187,172,175,174,173,172,171,171,170,168,166,166
3,157,157,159,160,161,161,162,162,161,162,162,161,161,160,158,157,157,155,155,152,151,151,150,147,146,145,143,143,163,163,164,164,166,166,166,165,164,165,165,164,165,162,162,161,161,160,157,156,154,152,149,149,148,146,144,143,167,168,168,169,171,171,170,169,168,170,169,168,168,167,164,171,145,147,163,158,157,155,152,152,150,148,147,145,171,173,173,174,175,175,175,174,174,174,173,173,171,171,167,179,133,107,172,162,161,159,158,156,154,152,150,148,178,178,178,178,178,179,179,178,179,178,177,177,176,174,173,178,140,90,169,167,165,164,163,160,157,156,153,151,181,182,182,183,183,183,182,183,184,183,181,180,179,178,177,180,141,78,166,171,169,167,165,163,160,157,156,154,185,186,186,187,187,187,186,187,187,187,187,185,183,182,181,181,142,77,165,177,172,171,169,167,165,162,159,157,190,189,190,190,191,190,190,190,191,191,191,189,187,187,184,190,154,79,160,183,175,174,172,170,168,166,163,162,193,193,194,195,195,194,194,193,194,195,194,193,191,190,187,194,145,72,164,184,179,178,176,173,171,169,167,165,197,197,197,199,198,199,198,197,197,196,196,196,194,194,191,184,141,85,165,188,181,181,179,176,174,172,169,167,201,201,201,201,201,202,202,201,200,199,199,199,197,196,193,184,146,88,152,195,183,183,181,180,177,175,172,170,203,203,203,203,203,203,202,204,203,203,203,201,200,200,199,202,147,69,141,199,185,186,184,182,180,178,175,173,205,206,206,206,206,206,205,205,206,205,204,207,207,199,181,166,174,116,132,212,189,188,187,184,183,180,178,176,207,208,209,209,209,209,209,208,208,207,209,192,179,197,160,82,152,162,88,153,190,194,187,188,185,182,180,178,209,210,209,209,210,211,211,210,211,208,201,169,104,154,171,101,104,150,83,72,101,185,194,189,188,185,182,179,211,211,209,211,212,211,213,213,213,204,193,171,137,116,177,130,77,135,113,93,71,144,203,190,190,188,185,181,211,212,212,214,214,214,215,215,209,196,144,140,160,115,147,139,71,77,115,100,58,128,207,192,191,189,188,184,214,215,215,215,214,214,216,217,203,189,152,93,134,97,106,146,74,68,112,138,74,107,208,193,193,191,188,185,215,216,216,216,216,217,217,217,206,186,147,86,103,61,96,116,54,80,104,166,106,83,202,195,195,193,189,188,216,217,218,217,218,218,218,219,211,182,166,132,85,69,110,94,59,128,167,163,111,82,205,199,196,194,192,189,217,218,218,219,219,219,220,221,214,184,181,148,102,98,128,112,136,200,172,138,69,143,213,200,199,196,193,192,218,219,220,220,221,222,222,223,219,181,180,158,121,101,134,193,201,187,143,99,77,205,206,202,200,197,194,192,218,220,221,222,223,222,223,223,225,183,162,150,124,108,123,188,177,158,119,67,123,220,202,203,202,199,196,193,217,219,219,220,222,222,222,222,227,200,152,153,134,121,120,170,165,136,91,60,186,213,206,204,202,199,196,192,217,220,219,220,222,223,223,222,223,220,163,150,148,129,105,137,132,102,52,145,218,206,205,202,199,197,200,201,217,220,221,222,223,223,223,223,223,221,186,164,149,116,92,101,96,50,119,222,206,206,204,205,209,204,177,129,220,221,222,222,222,223,224,224,227,207,188,180,150,121,106,99,84,69,208,214,214,215,210,195,146,100,62,43,219,220,222,222,222,224,224,224,227,193,177,185,160,146,123,104,60,121,226,208,183,146,114,81,51,47,41,41
0,182,182,185,187,188,193,194,195,196,197,198,201,204,204,203,203,204,205,206,206,204,205,206,205,206,205,204,204,181,184,188,191,192,194,195,197,197,200,199,202,203,205,205,203,206,206,206,206,206,205,205,206,206,206,205,207,181,184,188,193,194,195,198,197,200,204,202,204,205,203,203,207,206,204,206,208,208,209,210,210,208,208,210,208,184,187,189,192,194,195,199,201,202,204,203,205,210,208,216,206,206,211,226,208,202,237,194,200,216,212,211,208,185,189,192,194,195,198,200,203,203,212,238,207,184,240,242,193,162,226,247,203,169,236,192,166,221,211,212,211,188,190,194,194,198,202,200,206,200,247,255,218,148,201,238,200,143,163,239,210,151,196,219,147,209,218,212,214,189,192,196,197,201,198,227,232,188,248,244,229,166,164,237,212,165,142,245,213,144,143,224,170,157,203,218,214,191,194,196,200,200,215,255,236,183,216,254,226,190,166,236,216,165,160,247,201,145,92,195,202,167,149,190,221,193,196,197,201,196,242,255,243,205,192,255,222,196,157,242,228,154,166,244,177,134,46,140,214,197,135,147,230,195,197,200,200,204,255,255,255,222,176,243,227,189,154,249,230,139,131,209,155,104,39,168,231,207,143,158,232,197,198,200,196,219,249,232,255,232,167,222,229,178,145,236,211,137,88,151,143,74,67,229,233,214,138,189,231,198,200,205,195,243,250,223,238,199,133,188,212,163,124,178,174,131,76,147,135,63,162,243,226,181,129,219,226,199,204,201,209,255,247,199,211,153,94,148,180,150,101,119,154,96,75,179,180,188,226,225,202,142,145,234,223,199,204,196,232,255,239,190,188,163,109,129,174,156,82,91,142,113,193,241,238,224,199,192,164,131,166,236,225,204,208,201,223,255,253,226,181,161,129,118,196,164,66,77,183,242,255,244,230,209,179,156,146,115,184,237,228,206,211,206,221,255,255,240,212,175,154,157,192,159,135,214,255,255,247,237,221,192,161,142,130,128,225,233,232,206,210,205,228,255,255,248,228,212,179,182,200,223,255,255,255,254,239,218,198,169,144,129,120,207,237,232,232,204,209,205,230,255,255,255,243,232,208,196,227,246,255,255,255,246,228,200,171,145,134,108,180,240,230,236,234,206,209,207,225,255,255,255,252,240,226,214,226,244,255,255,248,237,213,184,150,133,112,141,240,233,234,235,235,207,210,211,221,255,255,255,254,238,223,215,218,233,252,246,230,217,196,158,136,115,116,222,240,235,237,236,235,207,210,214,215,255,255,255,246,228,209,208,214,222,230,222,206,183,167,139,115,104,210,245,235,236,238,237,237,210,216,220,217,249,255,255,246,228,207,208,219,222,223,205,183,152,134,110,81,187,249,235,238,239,238,237,238,208,204,203,190,205,221,198,188,179,170,184,200,196,192,167,152,131,106,76,168,248,237,240,239,239,241,240,238,154,135,134,126,113,105,103,90,79,68,67,64,53,52,49,52,61,58,85,225,250,237,239,240,242,240,240,239,124,126,123,114,111,108,97,84,76,59,51,37,27,27,22,19,17,24,31,44,168,253,238,241,242,241,241,241,132,129,128,118,114,104,94,83,71,58,50,39,32,29,26,23,21,23,28,0,107,255,238,243,242,242,242,242,157,126,130,119,117,102,91,80,63,55,48,40,29,27,24,20,19,18,20,17,215,250,241,245,243,243,243,243,176,130,124,121,115,101,87,77,64,54,43,39,31,29,24,19,17,20,5,94,255,239,242,243,245,245,245,245
0,198,199,198,198,198,197,197,196,197,199,198,198,197,197,195,194,194,193,192,192,189,188,189,189,186,186,184,183,200,201,200,200,201,201,201,201,201,199,199,200,200,199,197,196,195,194,193,193,192,192,191,190,186,185,185,185,202,202,201,202,202,202,201,201,201,200,203,203,201,201,199,198,197,196,194,195,196,194,194,192,191,189,188,186,203,202,202,202,201,201,201,201,203,203,203,204,203,202,201,204,202,198,203,204,197,193,192,194,194,192,191,190,203,204,205,204,202,203,202,202,204,203,203,204,202,203,196,174,186,209,178,157,189,183,141,195,194,194,192,192,204,205,206,206,205,205,205,205,205,203,206,208,210,204,161,115,87,136,136,98,94,174,102,158,204,192,194,191,206,206,207,207,208,208,207,206,209,213,208,183,147,157,158,119,77,48,135,111,52,140,130,98,214,193,194,193,208,207,208,207,208,208,207,207,182,174,193,164,104,58,136,129,107,69,137,114,64,110,159,62,136,213,193,195,208,209,209,209,207,207,204,193,149,84,159,159,109,55,119,141,119,69,141,120,62,73,157,102,62,141,204,193,210,210,210,210,209,209,192,185,154,94,137,165,119,73,112,147,109,63,145,125,62,30,145,130,87,54,199,195,211,210,210,210,210,206,177,172,166,124,119,172,120,80,87,147,110,48,114,100,48,35,155,147,72,73,210,196,211,211,211,212,212,199,169,147,163,136,105,160,115,76,66,146,107,26,36,49,10,85,177,141,46,133,216,197,213,213,213,213,211,195,189,138,140,130,78,132,123,86,37,71,58,0,14,28,56,157,171,118,45,190,203,200,213,216,215,214,209,186,165,102,104,85,22,84,116,77,13,0,12,59,124,112,129,173,153,75,84,218,198,200,214,217,216,216,206,184,176,134,92,48,16,23,58,25,0,28,109,169,165,158,129,144,133,31,136,221,201,201,215,217,216,218,206,185,188,161,114,86,70,63,76,79,105,145,173,170,160,157,118,96,87,19,183,210,203,202,215,217,216,219,205,185,196,166,131,109,90,101,132,168,178,183,186,175,150,144,100,68,24,92,221,204,205,203,215,216,215,218,207,178,198,170,140,105,101,111,158,186,188,192,188,163,139,124,86,22,55,209,210,208,206,206,212,214,213,216,211,169,183,171,146,116,110,126,181,193,188,190,175,144,122,101,49,29,196,215,206,207,207,205,213,216,216,216,219,175,178,178,153,137,126,143,185,189,188,178,151,131,105,75,14,159,221,205,208,207,204,203,217,217,216,216,223,190,164,179,169,154,130,147,180,179,179,164,129,107,88,19,109,225,206,209,208,207,205,205,216,216,216,217,220,207,162,175,168,147,125,139,170,161,155,134,105,86,31,63,217,211,209,210,208,209,207,205,216,216,216,217,217,218,172,167,160,137,124,132,156,146,130,109,81,30,34,199,216,211,212,210,209,209,208,207,216,216,216,216,217,217,180,168,151,127,124,126,148,138,111,88,41,27,189,220,211,214,215,211,210,208,208,207,219,218,218,216,220,207,174,167,156,148,146,136,139,134,97,61,11,171,225,210,213,211,213,211,209,209,208,206,209,212,214,214,221,189,169,178,167,166,151,139,134,122,77,23,77,236,218,223,223,220,218,217,215,213,212,210,110,115,117,121,120,143,176,187,177,164,151,141,125,89,65,18,97,183,176,179,183,187,188,187,190,192,193,193,84,83,80,80,72,129,179,187,170,161,152,138,93,76,54,20,54,84,82,82,82,85,86,86,89,92,93,92
4,203,203,203,203,203,202,202,201,201,200,200,198,198,198,198,198,193,193,192,191,192,191,190,190,188,186,185,184,204,204,204,205,204,203,203,203,203,204,203,202,200,197,187,188,199,194,193,192,192,191,190,191,189,186,186,184,206,206,205,205,205,205,204,204,201,186,176,187,199,194,164,136,159,203,196,194,198,193,192,190,190,188,186,186,207,207,206,205,205,206,205,206,205,194,186,165,157,163,180,161,128,164,171,147,155,192,193,192,191,190,188,186,208,207,207,207,206,207,206,201,202,197,195,191,167,133,133,167,156,124,121,137,106,155,202,191,192,190,190,188,209,208,207,208,208,207,198,189,188,176,140,141,174,132,98,145,152,125,98,130,120,118,198,192,191,190,189,187,209,209,209,209,209,208,206,207,192,177,142,106,152,135,98,123,138,109,104,141,132,106,185,196,191,191,190,188,210,210,209,210,209,210,189,168,157,185,151,112,134,154,130,121,130,97,112,144,128,106,185,196,191,191,190,189,211,211,210,211,209,212,198,153,107,152,181,141,140,163,175,157,136,131,129,138,147,119,185,197,193,191,191,190,211,212,211,212,210,212,197,156,99,85,178,158,129,143,165,168,136,142,141,137,153,111,152,204,193,193,191,191,212,213,213,213,211,211,177,139,125,117,112,127,112,107,111,146,142,136,135,135,130,115,118,200,194,193,192,192,214,213,213,213,211,209,189,178,157,131,103,97,112,107,105,108,132,136,128,122,131,133,102,183,199,194,192,191,214,214,213,213,213,210,194,181,152,123,103,105,109,113,127,114,101,95,124,147,156,142,103,151,205,193,192,191,214,214,215,214,214,210,201,172,140,116,102,103,113,130,131,129,124,128,146,169,161,147,122,121,203,193,194,192,214,215,216,215,213,212,193,165,141,115,103,112,122,132,142,141,158,181,171,151,181,170,141,105,187,198,195,193,215,215,216,216,213,212,201,181,154,126,110,114,120,144,156,158,169,182,190,178,170,169,142,97,172,202,194,193,216,216,216,216,216,211,201,183,159,130,108,111,129,148,159,172,176,188,186,178,165,145,129,94,178,201,194,194,216,216,216,216,217,208,199,190,170,143,118,114,120,147,167,178,188,193,184,166,155,136,105,111,202,198,196,194,216,216,216,216,216,205,194,195,177,153,133,117,114,151,177,187,197,193,179,159,146,127,88,158,206,196,196,195,216,216,216,216,216,204,189,192,178,157,139,124,118,150,186,190,194,186,169,151,137,112,102,200,200,198,197,196,216,216,217,217,218,204,187,185,177,163,144,129,126,154,191,185,182,175,158,142,130,95,148,211,198,199,196,195,216,217,219,218,219,205,185,183,184,170,147,140,133,158,185,181,176,164,148,134,116,97,193,205,200,198,197,196,217,218,218,218,218,211,188,186,185,173,153,147,132,160,179,176,171,154,135,125,91,138,213,201,202,199,198,197,218,219,218,218,219,219,196,190,191,177,160,147,131,154,176,169,161,143,125,107,96,197,206,203,203,199,198,197,218,219,219,219,219,218,201,198,192,175,164,150,133,143,163,156,144,126,115,84,165,214,203,203,202,201,198,197,219,219,219,219,220,217,207,201,189,177,166,153,139,137,148,143,128,116,87,129,213,205,205,203,202,201,199,198,219,219,219,219,220,217,208,201,186,174,164,153,146,138,138,136,122,102,93,200,209,205,204,203,201,201,200,198,219,219,219,219,221,213,206,197,187,180,175,166,160,144,133,131,116,87,144,217,207,207,204,203,202,201,199,198
1,171,174,176,178,180,183,185,186,187,187,188,189,189,189,189,188,186,186,189,186,185,184,184,181,180,180,179,177,173,176,178,180,182,185,186,187,189,190,189,189,189,190,188,189,193,190,176,187,185,185,185,183,182,180,180,178,175,178,181,182,184,187,189,190,191,190,191,191,192,190,197,183,198,202,137,178,185,187,185,184,184,182,180,180,177,180,183,185,186,189,191,192,193,193,193,193,193,192,218,172,147,196,131,148,162,168,189,185,186,184,183,182,179,183,185,187,188,190,193,194,195,196,196,195,193,203,224,161,126,187,128,147,163,137,193,187,187,186,185,183,180,184,186,189,191,193,195,196,197,197,195,207,201,159,196,149,139,202,135,147,165,130,189,190,189,188,186,185,182,186,189,191,193,194,196,198,199,200,197,223,188,121,168,150,145,202,140,135,165,131,188,193,190,189,187,186,184,188,191,192,195,197,199,199,201,201,202,225,169,121,170,142,134,180,130,151,179,136,183,197,192,192,190,188,186,189,192,194,197,198,200,202,203,201,211,225,167,121,158,130,146,174,123,155,176,132,179,200,194,194,192,190,187,191,193,195,198,199,201,203,205,201,219,216,158,130,164,128,165,184,128,149,169,129,184,200,196,196,194,192,189,192,194,197,200,201,203,205,206,202,222,207,150,141,182,133,150,174,125,167,176,132,186,201,198,197,194,192,190,193,195,198,201,202,204,205,208,205,229,211,169,131,158,114,124,141,115,186,174,133,189,203,200,198,197,195,191,195,197,199,202,203,204,207,210,207,230,197,155,119,123,123,126,126,129,171,151,129,199,202,201,200,198,197,193,197,199,201,203,204,207,210,211,212,224,196,177,171,142,160,132,164,175,139,127,140,209,201,202,201,199,197,194,198,201,203,204,207,210,211,211,218,240,227,186,202,198,189,184,198,166,122,119,166,212,202,202,202,200,198,194,198,203,204,207,209,211,213,209,233,249,196,159,166,194,202,197,183,168,147,104,174,213,203,204,203,201,199,196,200,204,206,210,211,213,215,211,242,228,169,157,128,129,165,155,183,199,162,108,177,214,205,205,204,202,200,198,201,205,208,211,212,214,216,215,247,233,196,157,146,138,125,171,173,218,182,122,163,216,206,206,205,203,201,200,203,206,209,212,215,216,217,221,250,231,204,153,156,131,180,233,185,213,193,142,123,208,210,208,207,205,203,200,205,208,211,214,217,218,219,223,246,233,201,148,161,143,225,235,218,187,167,154,122,202,214,209,208,206,204,201,205,209,212,215,217,220,219,226,246,239,194,154,157,172,245,237,208,186,154,133,131,214,213,211,209,208,205,203,207,210,213,215,219,221,220,228,248,230,186,173,144,202,247,228,206,179,165,115,147,223,213,213,210,209,207,204,209,212,215,217,220,222,221,228,246,222,201,181,153,226,241,220,198,176,152,110,188,222,214,215,212,210,209,204,209,213,216,218,220,222,229,235,237,221,218,184,172,231,232,212,191,166,127,134,222,217,216,215,213,211,209,205,210,213,217,219,220,229,195,187,242,222,223,184,162,213,212,192,172,149,109,190,227,218,217,216,214,213,211,207,211,215,219,220,222,228,131,106,189,219,216,154,146,174,178,166,149,110,142,230,219,220,220,218,216,214,212,207,212,215,219,219,230,193,114,117,108,136,147,129,145,152,152,133,113,117,215,225,221,221,221,219,216,215,213,206,210,215,218,219,228,153,116,114,112,108,111,115,123,121,122,99,76,172,234,220,222,222,221,219,216,215,213
0,197,195,196,197,197,197,196,195,196,197,197,197,196,196,195,195,194,193,193,192,190,189,189,189,187,185,185,185,200,199,199,199,199,200,199,199,199,199,199,198,198,197,196,196,195,194,194,193,193,191,191,191,189,188,187,186,202,202,201,202,202,202,201,202,201,200,200,200,200,199,199,198,197,195,196,194,194,193,193,192,190,188,187,187,202,202,202,202,202,202,202,202,202,201,202,202,201,199,201,200,199,198,198,195,195,195,194,193,193,191,190,188,203,203,203,203,203,202,202,202,203,203,203,204,203,202,202,203,201,201,201,200,197,195,195,195,194,193,192,192,205,204,205,204,203,203,203,203,204,203,204,204,203,204,196,183,196,203,184,180,198,175,168,199,195,194,193,193,205,205,205,205,204,204,203,204,205,204,204,206,206,199,163,126,122,164,142,117,135,175,117,194,198,195,195,192,206,206,206,206,206,206,207,207,207,209,206,185,161,170,158,128,88,94,142,116,83,169,116,157,204,196,196,193,207,207,208,208,207,207,206,205,188,187,194,164,114,91,153,136,113,99,146,121,83,151,143,94,182,201,196,196,208,208,209,208,208,208,205,193,153,111,174,157,119,78,145,142,127,97,153,124,76,122,154,104,101,180,199,196,209,208,209,209,209,208,194,186,156,115,158,164,132,90,140,147,119,94,156,127,71,84,162,132,90,117,207,197,209,210,210,210,211,205,182,178,168,135,142,173,131,95,120,150,116,79,131,111,61,88,167,141,81,125,207,199,212,211,211,211,211,199,170,160,168,143,125,167,125,94,101,148,110,49,72,70,49,134,174,136,69,173,204,199,213,212,210,210,210,195,185,145,152,134,96,148,130,100,67,94,73,27,53,55,97,170,169,112,91,204,202,202,214,213,212,212,208,189,167,118,125,93,55,114,121,90,36,37,51,93,134,121,151,172,148,83,138,209,202,202,213,214,214,215,204,187,175,138,107,70,45,62,80,51,33,67,133,171,170,158,140,156,125,61,181,207,203,203,214,215,215,216,202,191,186,161,123,101,85,88,98,104,125,158,179,175,167,159,123,118,89,73,207,206,204,203,215,215,215,216,200,191,194,169,140,118,108,119,147,171,182,188,188,176,159,146,106,83,54,148,213,207,205,203,215,215,215,216,201,184,194,173,147,118,119,128,175,188,192,193,186,165,147,131,90,47,112,211,208,207,206,205,214,215,214,215,206,175,186,175,154,130,126,145,189,193,191,192,175,150,130,110,59,87,207,211,208,208,208,206,214,215,214,214,213,177,183,180,161,148,137,159,186,193,191,179,155,138,116,80,62,191,212,209,207,207,207,205,215,215,214,215,218,186,173,182,173,159,139,162,183,185,181,163,137,120,94,53,159,214,207,208,207,206,206,204,215,216,216,215,216,201,169,178,172,155,138,154,175,169,159,140,116,95,54,123,215,210,209,208,207,206,205,204,215,215,216,216,216,214,175,175,163,147,137,147,165,155,140,120,92,53,95,210,213,212,209,208,208,208,207,206,215,215,215,216,217,212,181,175,157,141,138,141,159,147,122,101,57,89,205,214,212,212,211,209,209,208,208,207,215,215,215,215,217,203,181,173,165,161,155,146,152,141,109,74,61,200,216,213,213,213,211,210,209,209,207,206,217,216,217,217,218,184,180,180,176,170,159,149,147,128,90,52,130,222,214,215,213,212,213,211,211,210,207,204,181,184,188,191,193,170,183,189,181,170,160,149,133,106,79,52,177,216,214,215,215,213,212,211,210,209,207,205
18,199,199,199,200,200,201,202,202,202,201,202,202,201,201,200,199,200,201,201,201,200,199,197,196,195,194,192,191,199,200,201,202,201,201,202,203,203,203,202,202,202,201,201,201,202,202,201,201,200,198,198,198,196,194,194,194,202,202,203,203,203,204,203,203,202,202,203,202,203,203,203,202,202,204,201,202,200,198,198,198,197,195,195,194,203,203,204,204,205,206,205,204,203,203,204,204,204,203,203,204,204,210,197,192,201,201,200,199,198,197,196,195,204,204,206,206,205,206,206,207,205,204,205,205,204,206,205,205,206,226,198,167,190,201,201,201,200,200,198,196,206,207,207,207,207,208,207,208,207,208,207,208,221,219,195,200,227,237,217,179,180,198,198,199,200,199,198,198,207,207,208,207,207,209,209,209,207,210,209,220,242,222,191,173,213,229,233,221,221,208,171,168,198,198,198,200,208,209,209,208,209,209,210,210,215,230,205,216,242,217,194,165,213,212,232,234,233,215,169,130,181,200,201,201,209,210,210,211,211,210,208,217,244,237,201,176,236,212,191,167,220,202,203,229,237,214,160,122,154,202,202,201,209,209,209,211,209,211,210,243,253,240,206,174,238,216,190,168,224,210,174,234,244,215,152,118,141,205,204,203,211,211,211,211,212,211,228,250,251,243,209,171,235,221,192,171,226,209,178,245,249,213,147,112,156,206,204,203,213,214,214,214,214,217,248,236,241,246,214,174,227,217,187,159,204,192,180,247,245,204,143,109,183,207,206,205,214,215,214,215,215,236,248,231,228,229,204,166,197,201,176,133,161,160,201,249,233,189,140,124,204,207,207,206,215,215,215,215,223,251,235,205,203,196,167,132,164,174,146,107,171,209,233,242,220,177,132,163,210,209,209,207,216,217,217,217,228,253,237,205,182,175,148,111,170,173,133,185,237,240,228,216,204,166,130,197,211,210,209,208,217,219,219,216,239,253,238,212,176,161,146,107,179,171,207,250,249,238,212,193,185,149,127,206,212,213,211,210,217,219,220,218,248,253,240,219,195,168,156,144,149,202,250,253,247,230,198,172,160,131,154,214,213,213,212,212,219,220,221,223,253,254,244,227,208,181,167,170,198,249,254,252,240,214,179,157,144,115,181,215,215,214,214,213,221,221,221,227,254,254,249,236,221,196,189,206,243,254,252,247,232,198,165,145,126,134,209,217,216,215,215,214,221,222,221,227,253,255,252,243,231,213,204,223,250,251,244,236,222,185,154,135,115,187,218,218,217,216,216,215,220,221,221,225,254,255,254,247,233,218,212,221,248,244,233,229,198,173,140,121,131,215,219,218,216,217,217,215,221,221,222,224,253,254,254,244,230,216,214,217,238,231,220,216,185,156,124,107,179,218,219,219,217,218,217,218,221,222,222,224,253,253,248,237,222,210,211,216,227,215,208,202,178,135,112,121,211,219,218,219,219,218,217,219,221,223,223,226,253,241,230,224,212,202,203,209,224,207,197,185,155,114,98,172,221,221,220,219,220,218,213,178,220,221,222,230,253,239,231,227,218,215,207,209,228,196,174,156,124,94,124,214,222,221,221,220,220,217,167,116,174,165,159,195,236,235,230,224,222,222,200,201,216,175,147,126,95,98,202,223,223,222,220,214,193,159,120,104,133,131,125,130,134,136,138,141,148,163,155,168,174,146,122,100,76,172,218,224,224,223,191,145,121,106,97,88,145,120,115,120,115,111,105,99,90,86,84,86,86,78,72,69,63,93,116,146,186,185,118,113,111,104,97,87
1,164,167,169,170,173,174,174,175,178,178,178,179,178,175,179,182,177,179,180,179,178,179,179,179,178,178,177,177,166,170,173,173,175,177,178,179,180,180,179,181,182,186,164,147,183,180,181,181,179,180,180,180,182,180,178,178,171,174,175,178,179,179,179,179,181,182,181,184,171,191,179,85,183,190,181,181,182,182,183,183,184,182,181,180,174,176,176,180,180,182,181,182,184,187,183,205,158,140,190,81,151,165,185,185,186,187,187,186,187,186,184,184,175,178,180,182,183,185,185,185,187,189,183,210,154,134,191,87,115,119,136,198,186,188,188,189,189,188,187,186,177,180,182,184,186,186,188,189,188,189,188,209,159,137,205,119,114,149,93,198,189,189,189,190,189,190,189,188,180,182,184,186,188,188,190,190,191,191,167,212,176,123,208,141,106,160,89,178,196,192,193,192,191,191,191,189,182,185,187,188,188,189,193,192,193,203,124,171,199,112,192,153,115,181,115,150,202,193,196,195,195,194,193,192,183,187,188,189,191,193,194,194,197,207,113,162,200,111,174,165,123,200,149,120,205,195,197,197,196,196,195,194,185,187,189,190,194,195,197,196,200,214,121,164,198,116,180,181,121,175,182,109,188,203,199,198,197,197,197,196,188,189,192,193,195,196,200,197,204,214,123,176,220,135,163,200,118,151,200,118,158,212,200,200,201,199,200,199,188,190,192,194,196,198,201,199,206,203,121,166,221,129,125,196,112,150,213,135,130,213,200,203,202,202,201,200,189,192,195,196,198,200,202,200,209,202,145,125,210,98,112,187,112,129,208,155,112,208,204,204,204,203,203,201,189,193,195,197,199,200,202,199,215,205,137,93,196,172,152,144,168,179,152,135,105,194,210,205,205,204,204,203,191,194,196,199,202,201,203,201,216,195,137,141,140,210,157,160,198,164,132,141,95,162,217,204,206,207,206,205,194,196,197,199,202,202,203,204,212,193,184,178,111,173,181,213,201,179,131,125,106,111,220,207,209,209,207,205,194,196,199,201,202,203,204,206,212,187,171,160,117,170,215,212,181,209,190,139,102,83,204,214,208,210,210,209,193,197,199,202,202,204,204,208,222,181,152,144,175,191,180,159,124,221,227,202,148,71,177,220,209,211,211,210,193,196,197,201,201,202,202,208,233,190,142,145,135,130,121,113,152,202,221,199,169,112,152,226,210,212,210,210,193,195,197,198,201,202,203,208,241,209,140,140,139,139,155,190,227,203,196,182,141,104,132,224,209,211,211,210,194,196,199,200,202,202,202,206,239,228,151,145,165,162,219,231,225,215,191,170,131,71,131,225,209,211,211,210,195,196,199,202,203,204,204,206,235,244,174,156,178,159,213,235,232,219,186,155,122,66,124,226,210,211,212,211,193,195,199,202,203,204,205,205,231,244,192,169,197,157,209,242,240,219,177,143,112,66,145,226,210,212,212,211,194,194,198,202,203,204,205,201,221,240,208,186,209,158,193,244,238,205,169,135,101,71,183,222,213,215,213,213,200,202,203,206,208,209,210,206,213,234,222,203,199,175,169,243,232,196,162,127,89,77,210,216,214,215,213,213,159,164,169,176,178,180,186,188,193,228,235,219,191,178,147,230,221,184,150,116,81,99,228,221,225,225,216,214,82,86,89,90,90,93,97,99,96,212,233,207,183,168,142,199,204,170,134,109,87,100,159,161,161,163,192,221,89,91,92,92,94,93,93,97,79,179,222,192,178,166,146,177,190,164,124,106,95,86,85,84,111,175,198,208
6,156,158,160,162,164,165,166,167,168,168,168,167,166,166,166,166,166,165,165,165,164,162,162,162,160,160,159,156,157,159,162,164,165,167,167,168,169,170,170,169,169,168,168,167,167,167,166,165,165,164,164,164,162,161,160,159,158,161,163,165,166,168,169,170,170,171,171,171,171,171,170,169,169,168,167,167,166,165,166,165,165,164,162,161,159,162,164,166,168,169,171,172,172,172,172,172,172,172,172,171,170,170,169,167,166,165,165,164,165,166,165,164,161,164,166,167,169,171,172,173,173,173,173,173,172,168,161,159,160,162,158,157,151,151,170,152,151,168,166,165,163,165,168,170,171,173,174,175,174,174,174,173,169,161,149,146,154,162,156,155,147,146,168,137,134,168,167,166,165,166,168,171,172,174,175,176,177,179,184,182,178,167,154,145,147,150,146,142,140,130,129,126,154,170,169,167,165,167,170,172,173,174,174,178,185,186,182,170,158,141,129,113,109,115,124,129,133,140,151,163,171,171,170,168,165,167,169,171,182,186,175,174,174,169,158,150,142,129,124,114,106,143,161,167,171,174,175,174,172,172,172,170,165,168,170,172,196,186,168,163,161,167,171,168,158,149,147,143,112,139,178,177,177,176,176,176,174,173,173,172,165,168,171,176,189,166,156,160,166,173,177,175,167,158,150,133,102,111,176,179,178,178,177,177,175,174,173,172,166,169,171,187,191,163,156,158,163,169,173,172,162,148,142,123,88,93,165,180,179,178,178,177,176,175,174,173,168,171,172,189,176,165,164,162,163,167,173,174,160,142,142,131,87,82,144,182,179,178,178,178,177,177,175,174,169,172,173,186,180,180,173,172,173,179,181,172,159,150,144,122,91,83,132,182,180,179,179,178,178,177,176,175,169,172,173,185,199,196,173,169,170,168,166,161,154,144,127,102,90,87,125,182,181,180,180,179,179,178,176,175,171,173,174,184,205,199,176,165,154,140,139,146,143,141,134,95,84,93,140,183,182,181,181,180,179,179,178,176,171,173,174,186,198,194,181,163,150,153,165,165,152,146,146,107,80,113,174,183,182,181,181,181,180,180,178,177,171,174,174,188,193,195,188,166,160,170,175,161,148,139,129,106,91,136,184,183,182,182,182,181,180,180,179,178,172,175,175,188,194,190,184,169,163,168,166,155,140,126,109,96,98,155,186,184,183,182,183,183,181,181,179,178,172,175,174,187,194,189,181,169,162,159,146,133,115,100,93,94,117,174,186,185,184,184,183,183,181,181,179,178,172,175,173,182,191,190,177,162,150,138,117,98,79,73,86,124,169,186,186,185,186,186,184,183,182,181,180,179,172,174,172,178,186,178,160,148,136,117,96,81,69,81,111,172,188,186,185,186,186,185,184,184,182,180,179,179,171,174,171,173,180,163,150,144,134,107,92,87,76,94,148,185,186,186,186,185,183,182,183,183,182,180,179,177,172,174,168,166,173,154,150,148,125,102,94,94,90,133,181,187,186,187,186,185,183,183,182,182,181,180,178,177,172,173,165,162,168,149,155,148,119,100,93,100,126,177,187,187,187,187,186,185,184,183,182,182,181,180,179,178,172,174,163,164,165,151,156,144,118,99,94,106,162,188,187,187,188,186,185,185,184,184,183,182,181,180,179,178,171,174,157,168,166,149,151,133,108,95,97,114,174,187,186,187,187,186,185,184,185,184,184,183,182,180,179,178,170,171,154,173,163,144,138,118,100,94,100,126,182,186,185,184,185,184,183,184,183,182,183,182,181,180,180,178
15,71,73,77,79,82,86,96,105,113,118,121,124,128,132,136,137,140,142,144,145,147,149,150,150,150,151,151,151,72,74,76,80,83,87,96,106,113,119,122,124,128,132,135,138,142,143,145,147,149,149,151,151,151,153,154,153,72,73,76,80,85,89,99,108,115,121,124,125,130,135,138,141,143,146,147,149,150,151,152,153,154,154,154,154,73,74,76,82,79,85,98,107,115,121,124,127,131,136,139,143,146,147,148,150,152,154,154,155,157,155,155,156,72,74,77,79,107,114,113,113,120,126,125,128,132,137,142,144,145,147,150,152,154,155,155,157,159,158,158,159,72,77,70,114,176,130,123,118,132,141,127,122,124,132,134,143,150,151,153,153,154,157,158,160,160,160,160,160,74,78,70,114,149,96,96,95,127,125,108,109,141,142,121,111,121,140,148,157,160,157,159,161,162,161,161,161,74,75,77,80,93,86,88,84,112,106,91,100,146,145,127,97,111,119,125,123,143,165,159,162,163,162,163,162,74,75,79,82,82,92,101,107,113,109,101,104,136,139,107,100,147,132,131,121,91,136,170,161,165,164,165,164,74,76,79,82,85,93,105,115,124,130,130,130,124,104,86,165,142,142,113,143,123,80,146,170,164,166,166,166,76,76,79,82,84,93,105,114,123,127,135,162,114,87,93,144,138,111,110,143,127,112,75,160,168,166,167,167,74,76,78,81,84,94,105,116,125,126,151,171,138,86,67,69,101,86,130,116,120,128,77,92,176,166,168,168,75,77,78,81,84,94,107,116,125,128,142,173,161,123,104,87,76,89,145,112,120,98,94,58,129,180,167,170,74,76,78,81,85,95,108,116,125,129,153,151,157,144,157,138,90,88,88,95,94,71,63,66,62,159,175,170,75,76,78,82,85,95,106,118,122,144,167,138,136,124,153,132,75,76,79,74,83,69,53,61,51,74,172,173,76,77,79,82,85,96,108,118,124,142,139,107,111,116,136,101,72,77,75,78,86,77,60,59,59,42,106,183,75,76,78,82,85,96,108,117,126,135,147,115,112,88,77,70,63,68,69,71,75,71,71,68,58,56,55,162,76,77,78,81,85,97,109,119,124,141,160,159,136,97,79,98,87,49,72,82,79,76,82,80,64,59,48,106,75,77,79,81,85,97,109,118,127,134,143,159,143,115,108,102,107,54,75,99,93,94,99,90,67,54,58,55,76,76,78,81,85,97,109,119,129,133,138,138,124,103,73,69,100,120,70,98,110,108,100,84,59,56,61,58,76,75,78,80,85,97,110,121,128,133,134,137,121,99,71,56,85,112,78,78,117,114,92,71,57,61,64,62,75,75,77,79,85,97,110,121,129,133,135,141,148,153,154,137,107,129,130,103,100,97,75,67,63,67,66,62,72,74,76,77,83,97,109,119,128,133,134,139,144,148,157,155,84,101,115,124,90,92,81,59,46,46,46,49,71,73,76,76,82,97,109,119,129,132,134,139,145,149,160,133,64,60,42,46,54,56,45,32,25,22,19,14,72,72,75,75,81,95,107,119,128,133,134,140,146,149,163,112,65,68,65,24,27,38,32,27,26,23,17,10,70,71,73,76,80,94,108,119,128,134,136,140,146,151,159,93,63,60,61,54,5,29,33,28,26,23,18,11,68,69,72,74,80,94,107,118,127,133,135,140,145,154,145,69,62,60,55,62,10,8,27,25,17,16,16,8,66,67,70,71,79,93,105,116,126,131,133,139,144,157,117,61,66,57,54,64,13,2,17,19,13,18,20,5
4,180,180,180,180,180,179,179,178,177,176,176,174,175,174,174,174,168,168,167,166,167,166,165,165,163,160,159,158,181,181,181,182,182,179,180,180,180,181,180,179,176,173,162,163,176,170,168,168,167,166,165,166,163,160,160,158,183,183,183,183,182,182,181,181,178,160,149,161,175,169,134,102,129,180,171,169,174,168,167,165,164,163,160,160,185,185,184,182,182,184,182,184,182,170,160,136,126,133,153,131,92,135,143,114,124,168,168,167,166,165,163,160,185,185,184,184,184,185,183,178,179,173,170,166,138,97,98,138,125,87,84,102,66,123,178,166,167,165,164,163,187,185,185,186,186,185,174,163,162,148,106,107,146,97,57,112,121,88,57,95,82,81,174,168,166,165,163,162,187,187,187,187,187,186,183,185,167,150,108,66,120,100,56,86,104,70,64,107,96,66,158,172,166,166,164,163,188,189,187,189,187,189,163,139,126,159,119,73,99,123,94,84,95,55,74,111,92,66,159,172,166,166,164,163,189,189,188,189,187,191,174,121,68,121,154,107,106,133,147,127,101,96,93,104,115,81,159,173,168,166,165,164,189,190,189,190,189,191,173,125,58,42,150,127,93,110,136,139,101,108,107,103,121,73,121,181,168,168,166,166,190,191,191,191,189,189,149,105,89,79,74,91,74,68,72,113,108,101,100,100,95,77,81,177,170,168,167,167,193,192,192,192,189,186,163,151,126,96,63,56,74,67,65,68,96,102,92,85,96,98,62,156,175,170,167,166,192,193,192,192,192,188,169,154,120,87,63,65,69,74,91,76,61,54,88,115,125,109,63,119,182,168,167,166,193,193,194,193,193,188,177,143,106,78,62,63,74,95,95,94,88,93,113,140,131,114,85,84,180,168,169,167,193,194,195,194,191,191,168,136,108,77,63,73,85,97,109,107,128,154,143,119,154,141,108,66,162,174,170,169,194,194,195,195,192,191,178,155,123,90,71,76,83,110,124,127,140,156,165,150,141,141,109,56,144,179,170,169,195,195,195,196,195,189,177,156,129,95,69,72,94,115,129,144,149,162,160,150,135,112,93,52,151,178,170,169,195,195,195,195,196,186,175,165,141,109,81,76,83,114,137,151,162,168,157,137,124,101,65,72,178,174,171,169,195,195,195,196,196,182,169,170,150,122,97,79,76,119,150,161,173,168,152,129,113,91,45,127,183,172,172,170,195,195,195,196,196,181,164,167,151,126,105,87,80,118,160,165,169,159,140,120,103,74,61,177,176,174,173,172,195,196,197,196,197,181,161,158,150,133,110,94,90,122,166,159,156,148,128,108,94,53,116,189,174,175,172,170,196,196,198,197,199,182,159,157,157,141,114,106,97,127,159,154,148,134,115,99,79,56,169,182,177,174,173,171,196,197,198,197,198,189,162,160,159,145,121,114,97,130,152,148,143,123,100,89,49,104,192,178,179,175,174,173,197,198,198,198,199,198,171,164,166,150,130,114,95,122,148,140,131,109,89,68,54,173,184,180,180,175,175,173,198,199,198,198,198,198,177,175,167,148,134,118,98,109,133,125,111,90,77,41,135,193,180,180,179,177,175,173,199,199,199,199,200,196,185,178,163,149,137,122,105,103,116,110,92,79,45,93,192,182,182,179,178,178,175,174,199,199,199,199,200,196,186,177,160,146,134,121,114,103,103,101,85,62,51,177,187,182,181,180,178,177,176,174,199,199,199,199,201,191,183,173,161,153,147,137,129,111,98,96,78,44,111,196,184,185,181,180,179,177,175,174
2,190,192,193,194,194,194,194,194,194,193,192,192,192,191,191,190,189,188,188,188,188,187,185,186,174,95,88,98,192,193,194,195,195,194,195,195,194,195,194,193,194,192,191,191,191,190,189,188,188,187,185,190,160,87,92,105,193,194,195,197,195,195,196,196,196,195,195,195,193,192,192,191,185,190,191,191,189,188,188,190,172,104,97,103,195,195,196,196,197,197,197,196,196,196,195,194,195,198,198,174,126,142,168,140,189,192,189,187,191,125,101,104,195,197,198,198,198,198,198,198,197,197,198,205,202,187,156,130,106,99,123,99,155,194,189,188,193,137,92,92,196,197,199,199,199,199,200,200,198,203,212,210,168,124,110,101,94,96,101,102,94,164,197,188,195,163,87,74,197,198,199,200,200,200,201,202,199,208,210,176,126,88,92,95,85,88,93,97,84,158,199,191,191,192,100,61,198,200,200,201,202,202,202,201,203,224,178,116,102,87,83,90,93,89,97,111,149,194,193,193,191,195,144,109,199,200,201,201,202,203,204,199,212,220,152,101,98,98,91,94,88,144,186,194,200,194,195,194,192,195,161,149,200,201,202,203,204,205,204,200,225,205,143,106,97,100,91,104,160,200,200,196,194,195,196,195,192,200,123,149,201,201,202,205,205,205,203,209,224,184,127,92,91,92,90,144,213,197,199,198,197,197,196,195,194,199,131,174,202,202,204,205,206,206,202,220,219,174,132,104,102,92,88,152,209,199,200,200,199,198,196,195,195,197,169,157,204,205,206,206,207,206,207,231,213,166,128,112,108,104,88,175,208,201,201,200,199,198,198,197,196,196,195,168,205,207,207,207,207,205,218,233,198,153,120,107,106,106,106,194,206,202,202,201,200,200,199,198,197,197,194,186,205,206,207,208,208,204,230,227,186,145,113,105,104,105,108,197,206,203,203,201,201,201,200,199,198,197,196,189,207,206,207,209,207,207,238,222,180,139,112,106,107,107,114,202,205,204,203,202,201,201,200,199,200,198,196,194,206,207,209,210,205,221,237,209,172,133,110,107,109,101,114,211,205,204,205,204,201,202,203,203,201,200,201,196,206,208,211,210,206,236,231,197,162,127,107,105,101,101,92,165,215,203,204,206,207,203,189,178,167,159,165,195,208,210,210,206,215,239,220,186,151,122,107,98,97,101,103,103,205,214,209,203,181,164,164,161,158,149,111,156,210,211,212,204,227,234,210,175,145,121,106,91,95,100,106,95,139,188,179,161,160,163,170,159,136,137,138,174,210,212,207,209,236,228,203,168,139,119,101,87,101,106,108,111,102,117,144,163,175,167,141,117,147,192,202,200,209,210,201,229,236,222,195,166,135,112,95,92,113,117,125,124,124,130,151,164,151,126,107,158,207,202,199,199,210,200,218,238,231,216,190,160,129,112,94,101,120,125,133,130,129,134,139,126,124,154,186,206,200,200,199,198,201,211,238,229,221,208,185,153,123,112,96,111,124,128,132,129,123,112,110,151,195,210,207,202,201,201,199,198,205,227,228,224,216,201,177,141,119,112,103,122,130,131,125,118,101,116,178,211,209,204,204,205,202,201,200,199,224,220,220,215,201,182,160,128,116,107,108,122,126,127,109,101,162,206,211,206,206,205,205,205,203,201,200,199,219,218,210,194,176,163,136,116,107,106,113,115,120,104,101,176,217,209,206,207,206,206,205,204,203,201,201,201,221,213,196,175,160,151,122,106,104,109,107,107,104,121,191,215,206,207,207,208,207,206,206,205,204,202,201,201
4,151,155,158,159,164,166,168,174,177,179,185,183,184,188,188,188,191,192,189,191,191,193,194,192,190,190,190,190,156,159,162,165,168,171,173,177,178,180,187,187,189,188,188,201,184,183,196,193,193,194,195,194,195,193,193,193,160,164,167,170,173,174,177,180,182,183,184,196,179,206,255,243,156,92,182,200,198,201,197,198,197,197,196,195,164,167,170,174,177,179,180,187,193,196,231,230,149,115,191,217,140,70,78,123,121,182,206,200,201,200,199,196,167,171,175,177,182,183,192,187,151,232,255,235,162,81,49,182,133,66,39,104,76,86,213,201,204,203,202,200,171,174,178,183,184,186,251,230,147,156,160,236,169,104,26,111,166,105,41,128,127,72,204,206,206,205,204,205,175,178,182,187,181,228,238,226,221,182,97,171,204,133,0,115,211,146,93,116,145,106,189,215,208,209,207,208,180,184,187,187,194,254,211,153,159,127,53,80,211,122,9,172,205,135,83,72,96,90,130,225,210,212,211,211,181,187,192,192,197,255,242,188,161,151,137,68,131,89,46,121,154,113,90,91,85,79,97,188,223,212,212,212,185,190,193,198,194,242,240,216,181,150,137,96,82,111,101,115,150,124,125,99,60,110,115,112,227,216,217,214,187,193,196,202,198,234,239,204,166,127,101,87,95,124,128,150,166,152,140,103,107,163,154,93,168,231,217,219,190,196,199,206,201,244,245,206,173,126,97,86,100,115,138,162,185,190,215,237,218,194,169,139,97,215,223,221,194,198,202,209,204,246,255,217,179,133,99,94,103,121,153,201,190,228,243,230,215,189,147,112,62,159,239,221,195,203,205,210,206,240,255,222,194,154,108,94,98,124,178,202,192,227,222,212,192,166,132,100,67,98,236,227,197,205,207,214,212,241,255,231,207,168,125,102,104,126,188,206,219,230,233,212,181,157,130,95,73,80,227,232,200,208,211,217,214,244,255,239,217,179,141,119,119,122,178,216,233,235,228,214,179,148,115,90,62,107,244,232,203,210,213,218,216,239,255,249,228,188,151,144,137,127,173,220,235,234,230,214,171,132,99,85,54,180,250,234,206,211,216,221,221,233,255,255,243,202,169,160,152,138,183,214,233,236,231,205,161,119,95,74,74,237,242,240,208,213,218,222,222,229,255,255,251,217,185,172,161,145,192,214,220,236,220,186,146,114,96,54,132,255,239,242,212,218,221,224,230,224,246,255,252,223,199,183,167,154,183,223,220,219,197,162,132,106,91,55,205,254,243,245,217,223,222,226,232,231,230,253,243,224,201,186,173,153,150,208,214,194,171,140,118,104,76,90,255,245,248,247,219,223,226,230,233,237,221,246,248,230,200,187,177,152,130,189,212,190,159,126,100,106,55,176,255,244,248,248,223,226,230,233,236,244,223,247,255,233,202,187,181,158,132,175,200,178,145,111,96,61,116,255,248,251,250,249,226,229,232,236,239,246,227,252,255,222,190,182,181,153,128,165,181,160,117,99,61,107,248,254,251,251,249,253,227,231,236,240,241,245,235,255,250,210,184,188,185,162,133,151,157,139,100,74,80,243,255,250,254,255,255,252,228,233,237,239,242,249,226,252,255,214,201,205,194,178,140,133,133,126,94,51,187,255,249,255,255,224,150,89,232,236,240,242,244,253,230,252,255,222,216,230,197,182,138,117,117,122,75,74,245,252,255,215,108,46,26,23,235,238,240,243,246,255,181,246,255,245,244,242,200,182,137,112,118,124,58,117,255,255,188,60,37,13,15,9
21,146,147,147,148,149,149,149,149,148,148,149,145,148,148,145,144,144,143,142,141,140,139,137,134,134,132,128,126,149,150,150,151,152,153,152,152,152,149,159,141,107,151,149,148,147,146,145,144,143,141,140,138,136,135,132,129,152,153,153,155,155,155,155,156,157,154,157,155,96,121,159,152,152,151,149,148,147,144,144,141,143,138,135,134,155,155,156,157,158,157,158,159,159,159,157,158,121,83,160,156,156,155,153,152,150,147,149,131,107,144,139,137,158,158,159,160,160,160,161,162,162,161,160,162,140,65,141,163,156,157,155,155,153,149,155,126,70,140,143,139,161,161,161,162,163,163,163,164,162,162,163,163,156,85,111,170,158,159,157,157,155,152,163,111,75,147,145,141,163,163,164,164,165,166,166,166,165,164,166,167,169,112,87,166,162,161,160,159,157,159,155,92,90,158,146,145,165,166,167,168,168,168,168,168,168,167,169,168,177,126,72,153,168,162,162,162,158,167,148,77,116,159,147,147,168,169,170,170,170,171,170,170,169,170,171,169,182,144,78,133,173,164,164,162,164,165,131,73,144,157,150,148,170,171,172,173,173,174,174,173,173,173,173,170,178,165,103,114,176,165,166,165,167,151,99,85,163,155,154,150,173,174,174,174,175,175,175,174,175,176,175,175,171,169,126,97,172,168,168,170,169,144,65,121,167,157,156,153,174,176,176,175,176,177,176,175,176,176,176,177,153,131,123,85,162,173,169,175,168,123,73,163,163,159,157,155,175,176,178,178,177,176,177,177,177,177,179,175,172,162,143,99,148,183,172,175,153,88,109,175,161,162,159,157,177,178,179,180,179,179,180,180,180,180,182,170,156,183,173,141,105,150,163,150,125,69,149,173,166,163,161,160,180,181,181,182,182,181,181,181,182,182,183,176,133,116,166,144,125,85,115,125,82,82,176,168,168,164,163,161,181,181,181,182,182,182,182,182,183,182,183,177,136,53,59,151,145,70,54,80,55,102,183,168,168,167,164,162,182,182,182,183,183,183,184,184,184,183,186,182,146,108,66,103,130,70,64,54,42,116,185,170,170,168,167,164,183,184,184,184,186,185,184,185,185,186,181,163,164,154,117,66,115,95,74,85,46,127,185,172,172,170,167,165,185,185,185,187,187,188,188,188,188,188,170,170,171,158,142,120,83,108,88,97,40,106,188,173,174,171,169,167,185,187,187,188,189,189,189,189,190,186,171,162,122,130,157,140,104,65,91,77,40,61,184,174,174,172,170,168,185,187,187,187,188,188,188,189,190,187,173,162,119,57,94,138,100,35,60,99,64,29,125,186,173,174,171,167,186,187,188,188,188,188,188,189,189,186,174,157,124,92,44,85,73,43,49,106,95,36,80,186,170,170,173,175,186,188,189,189,190,189,189,190,191,189,168,158,149,107,60,82,106,51,77,125,106,36,100,188,176,178,153,107,185,186,187,189,189,188,189,190,190,188,163,159,159,102,81,107,181,137,120,123,76,31,155,179,145,95,45,23,194,193,194,196,195,194,194,194,195,193,168,164,143,122,78,109,176,164,128,101,63,39,107,67,40,21,23,29,148,152,157,161,165,168,172,175,179,182,165,151,138,116,68,103,158,139,113,90,62,32,26,26,34,13,23,32,80,81,81,81,84,86,85,87,88,83,117,151,141,108,76,102,154,135,100,69,44,26,27,21,32,6,12,35,89,89,89,89,89,92,92,90,93,85,104,156,138,110,88,88,137,120,82,52,27,21,21,14,23,1,7,32
24,99,105,111,116,119,122,125,127,128,129,130,132,131,131,132,132,131,130,129,129,128,128,127,127,126,125,122,120,101,106,114,118,119,122,125,127,129,131,133,133,133,134,134,133,132,132,133,131,130,129,127,128,127,126,124,122,102,109,113,116,124,124,127,129,130,132,134,134,135,134,135,135,133,133,134,133,132,131,129,129,127,125,124,124,104,107,126,141,104,128,129,131,132,134,135,135,135,135,136,136,135,134,134,133,133,133,131,131,129,126,126,125,107,104,148,165,73,132,131,132,133,135,137,138,137,137,138,138,137,135,135,134,134,134,132,132,129,127,127,126,108,106,152,158,67,130,133,134,136,137,139,141,141,141,140,139,138,137,137,135,135,135,134,132,132,130,128,127,111,107,151,165,64,121,137,135,138,139,140,142,143,143,141,140,140,140,138,137,137,136,135,133,132,132,130,129,112,110,145,174,76,116,139,136,139,141,141,142,143,143,142,143,143,142,140,140,138,138,136,135,134,133,132,131,113,113,139,177,80,105,143,138,142,141,144,145,143,144,147,144,144,143,142,141,140,139,138,137,136,135,133,131,113,115,135,185,103,84,142,141,141,151,146,139,160,154,132,148,144,144,144,142,141,139,138,137,137,136,135,134,114,119,132,196,135,84,177,154,124,188,149,91,174,172,92,115,156,146,146,144,144,144,143,143,138,136,136,134,115,121,130,184,143,121,216,152,132,193,153,94,167,157,107,71,146,151,148,147,144,136,130,124,140,137,136,134,117,125,127,180,166,159,220,153,131,201,144,107,186,142,95,49,116,158,147,148,121,95,73,49,116,145,138,137,119,127,127,184,191,175,220,162,113,204,131,112,184,136,70,34,106,154,147,142,96,61,66,93,132,144,140,139,120,125,136,181,184,171,205,167,103,186,134,116,173,124,41,8,99,158,145,116,71,91,145,151,146,142,142,140,121,123,148,177,148,154,183,165,97,174,141,116,169,97,21,55,118,150,105,74,83,154,152,147,147,144,143,141,124,124,157,203,132,124,164,152,89,178,132,118,163,83,120,151,135,108,63,69,145,155,151,151,150,149,145,144,124,122,164,222,151,110,152,146,104,187,107,103,168,156,170,141,111,90,57,138,161,154,153,152,152,151,148,144,124,121,167,226,166,101,144,157,140,178,91,136,196,165,145,133,93,67,115,165,154,154,153,153,152,150,147,144,124,123,166,222,168,116,135,149,134,155,167,201,182,155,139,115,72,83,163,158,157,155,154,153,151,149,148,145,125,124,166,220,177,146,127,156,200,214,217,184,165,152,130,87,62,138,164,159,159,158,157,155,153,151,150,147,124,125,154,222,190,155,142,169,213,215,206,177,151,129,109,65,114,168,159,160,159,160,157,157,155,151,151,149,123,129,139,214,193,159,152,178,218,213,189,170,136,106,77,94,167,162,161,160,159,159,154,155,154,152,151,150,126,133,143,201,179,159,154,179,204,190,167,144,119,88,80,161,172,169,169,168,166,164,162,161,159,161,157,148,95,94,102,187,170,167,163,173,190,178,146,115,98,72,81,103,96,96,96,95,94,94,95,95,94,82,86,121,67,64,58,174,181,175,172,177,184,166,124,98,84,65,59,54,53,53,51,50,49,50,50,41,35,78,137,151,74,76,61,173,202,179,181,178,173,152,112,88,73,66,67,67,67,65,64,63,61,62,60,77,143,177,155,127,74,76,58,165,216,185,192,171,157,146,115,78,64,65,65,66,66,64,64,63,63,56,97,177,177,141,140,112
24,142,144,145,146,146,147,147,147,147,147,148,148,148,148,148,148,148,148,148,147,146,146,144,147,83,14,4,8,144,146,147,147,148,149,149,149,150,150,150,151,151,151,150,150,151,150,151,149,148,147,149,133,63,21,16,11,147,148,149,150,150,151,152,152,152,152,153,153,152,152,153,152,153,153,153,152,151,150,152,135,48,20,26,35,148,150,152,152,153,154,154,154,154,154,155,154,155,155,155,154,154,154,154,154,153,152,152,147,63,23,41,37,150,152,152,153,154,155,156,156,157,156,156,157,157,156,157,158,158,157,157,156,155,154,151,158,106,24,41,22,152,153,154,156,156,157,158,158,158,158,159,159,159,159,159,159,159,159,159,158,157,157,156,156,144,47,30,17,153,155,155,157,158,159,159,160,159,159,160,160,160,160,161,161,161,161,160,160,159,159,158,155,165,83,22,14,155,156,158,158,157,155,162,160,160,161,161,161,162,163,163,163,164,163,163,163,161,159,160,157,164,125,17,13,156,157,160,159,163,118,149,165,162,163,163,164,164,164,164,164,165,165,164,165,163,162,162,161,162,150,91,90,157,158,160,161,162,110,113,172,162,164,164,165,165,164,165,165,165,166,165,165,164,164,163,162,163,153,109,152,158,159,162,162,166,129,81,162,166,164,165,164,164,166,165,166,166,165,165,168,166,165,165,163,165,151,127,166,159,160,163,164,164,148,87,124,174,163,165,165,166,168,170,167,168,172,169,149,162,168,164,165,165,162,148,122,160,161,164,164,165,163,124,83,163,168,166,166,168,161,152,172,161,142,177,130,106,164,167,165,165,164,148,99,160,162,164,164,165,168,149,98,111,172,168,164,176,163,121,156,160,93,133,157,80,145,173,165,164,157,126,101,161,164,165,165,166,168,160,139,105,133,173,163,186,182,152,121,153,110,116,166,91,145,174,163,172,152,99,77,160,163,164,164,165,167,166,151,125,115,153,169,166,187,176,111,131,137,109,158,108,144,175,165,177,117,81,132,160,162,164,164,165,166,166,163,145,153,142,152,146,163,184,128,100,141,108,164,109,125,153,165,158,78,134,176,160,163,165,165,165,165,167,165,176,166,146,129,121,119,169,147,85,113,121,162,126,78,131,160,115,99,171,161,160,163,165,165,165,166,168,167,176,177,134,119,100,89,132,156,82,104,134,143,151,85,144,133,92,153,168,164,160,163,164,164,165,166,168,169,169,181,179,140,99,105,112,145,104,99,155,101,122,139,141,99,101,172,165,165,166,169,170,170,171,171,171,173,172,180,186,179,140,98,109,134,127,85,156,106,159,155,129,82,135,173,165,165,127,130,132,136,140,143,147,151,151,164,193,186,183,129,99,133,158,131,152,168,170,128,110,100,176,175,170,167,73,73,75,76,76,77,78,79,76,93,189,179,184,160,118,108,160,195,195,188,149,120,97,89,116,116,134,150,81,81,82,82,81,81,81,81,82,73,151,181,184,177,138,115,123,182,187,164,135,110,85,93,116,143,163,174,81,79,80,79,82,82,81,82,83,78,97,181,189,179,147,121,115,161,175,147,130,89,95,178,179,172,174,182,80,79,79,79,81,81,81,83,83,85,73,152,178,153,128,111,114,138,152,132,106,78,127,152,158,171,165,171,79,81,80,79,80,80,81,82,82,84,73,128,176,137,132,123,120,131,139,121,84,92,165,137,129,150,159,159,77,79,79,80,81,80,81,82,82,83,75,114,177,156,153,140,129,132,137,112,72,103,162,150,106,122,146,157
14,171,173,174,175,177,176,177,177,178,177,176,176,175,173,172,172,171,170,169,168,166,164,162,161,160,159,158,157,173,174,175,176,178,178,179,179,179,178,178,178,177,176,175,173,172,171,171,170,168,165,164,163,162,160,158,157,175,176,177,178,179,180,180,180,180,181,181,179,177,168,170,176,175,173,173,172,169,167,165,164,164,162,160,159,177,178,179,179,180,181,182,182,182,180,171,157,148,125,114,133,152,171,174,174,172,170,168,166,165,164,162,160,177,179,180,182,183,182,183,184,183,169,144,121,98,77,67,84,99,125,148,165,174,172,170,168,166,166,163,162,179,180,181,183,184,184,185,184,177,155,115,80,65,63,61,71,87,99,105,114,171,173,171,170,168,167,165,163,180,181,183,185,186,186,183,174,159,127,76,50,50,53,51,55,62,77,76,83,163,175,173,172,170,168,166,164,181,182,184,186,187,187,179,161,136,90,59,48,45,48,49,51,51,61,66,69,109,169,174,173,171,169,167,165,181,182,185,187,188,188,177,156,112,62,57,52,51,50,49,51,55,59,70,74,78,162,176,174,172,170,168,166,182,185,186,188,189,189,181,160,116,60,53,49,53,54,57,120,128,132,95,68,70,136,176,175,173,172,171,168,184,186,187,189,189,190,182,159,118,62,50,47,52,54,97,183,187,188,167,112,83,89,125,158,174,172,172,170,184,187,188,189,190,190,183,161,113,66,60,53,48,79,168,189,188,188,186,169,111,97,94,129,175,173,172,171,186,187,188,190,192,191,184,166,123,82,66,58,57,141,192,191,190,189,186,142,109,103,89,139,177,175,173,172,187,188,189,190,192,190,184,170,134,93,69,57,63,166,194,192,191,191,168,112,104,96,89,164,179,175,174,173,188,189,191,193,193,187,183,173,138,101,73,55,73,182,194,192,192,185,126,95,96,84,111,179,179,178,175,174,189,190,192,194,194,186,182,171,140,105,72,56,65,144,180,192,192,152,104,88,87,71,141,183,180,178,176,175,188,191,193,194,194,186,183,171,140,105,75,61,60,72,96,140,152,106,100,93,75,103,176,183,181,180,177,176,189,191,193,194,194,185,186,175,138,108,80,62,63,70,77,84,86,85,93,84,96,170,185,183,181,180,178,176,191,193,194,195,193,183,188,173,136,106,83,61,62,70,78,83,81,80,86,86,161,188,185,184,181,179,178,176,191,193,194,196,192,182,188,169,132,107,87,63,62,71,78,84,85,77,72,135,189,188,186,184,182,180,178,177,191,194,195,197,191,183,184,163,131,112,88,64,63,75,82,85,82,71,97,180,191,189,187,185,183,181,180,178,192,194,195,198,189,184,177,155,129,110,87,63,64,78,85,84,75,76,168,192,191,189,188,186,185,182,181,180,192,193,195,198,188,180,169,149,123,105,86,64,64,79,82,77,63,118,194,193,192,189,188,186,186,183,181,179,192,194,196,197,187,177,166,147,120,101,83,64,65,75,76,66,77,175,195,193,192,190,188,187,186,184,182,179,193,195,196,196,188,172,160,141,116,94,78,63,64,69,67,64,147,197,195,193,193,191,189,187,186,184,182,180,193,195,196,195,187,169,159,138,113,90,73,60,60,57,66,138,196,197,196,195,193,191,189,188,187,185,183,181,192,195,195,194,185,167,155,137,112,87,67,54,57,89,156,196,199,198,197,195,193,191,190,188,187,185,184,182,191,194,193,193,178,159,151,136,111,81,61,50,106,185,199,197,196,196,195,194,192,190,189,187,186,184,182,181
12,177,182,186,189,192,194,196,198,199,199,200,200,200,200,200,199,199,200,200,198,197,196,195,194,194,193,191,188,180,183,188,191,193,195,198,200,201,201,201,202,202,202,201,205,203,200,201,198,199,199,198,197,197,194,193,192,181,184,188,192,194,197,200,201,202,204,203,201,203,207,201,185,196,206,202,206,202,201,201,201,199,198,195,194,182,185,189,193,196,199,201,202,203,204,210,195,163,189,220,180,140,187,198,175,201,204,203,202,201,199,198,197,183,186,190,193,198,200,201,203,206,202,232,231,197,151,177,232,179,122,154,155,141,206,205,204,202,201,201,200,185,189,192,195,199,202,204,206,204,218,231,230,224,172,108,194,201,125,91,162,122,155,214,204,204,203,201,201,187,191,194,198,201,203,206,208,201,240,203,202,227,160,101,166,186,125,82,129,131,99,208,206,204,205,203,202,188,192,196,199,203,208,207,205,211,181,146,210,206,143,91,176,173,114,91,134,119,99,210,208,207,206,204,204,191,194,198,201,206,206,209,234,223,148,101,154,188,161,83,161,202,133,92,157,122,115,218,207,209,208,206,204,193,196,200,204,205,213,240,236,224,167,105,100,195,164,69,166,220,129,103,202,125,149,221,207,209,209,207,206,194,199,204,205,210,242,210,196,231,180,106,59,155,148,45,106,207,114,92,185,132,195,216,211,210,209,208,207,198,201,207,206,229,240,205,172,212,168,108,59,73,83,62,101,128,132,140,152,100,187,222,211,212,211,209,208,200,204,207,212,230,206,177,132,185,168,111,64,68,72,157,221,180,176,156,140,115,130,225,212,213,213,211,209,202,207,210,209,234,210,181,122,153,170,107,69,77,128,196,212,202,175,140,112,128,104,205,219,214,214,212,209,205,208,213,209,235,216,188,144,128,165,137,80,104,182,210,204,198,176,137,113,107,102,212,219,215,214,213,211,208,212,214,218,241,221,197,168,121,142,159,88,175,219,215,206,203,158,130,114,76,141,231,217,216,214,212,211,210,215,214,227,245,227,205,174,144,124,126,148,219,219,222,219,186,139,125,103,79,207,223,218,220,222,224,217,212,216,217,232,242,233,214,180,166,151,136,188,205,214,225,209,162,132,124,78,127,239,229,230,211,186,147,105,214,218,219,228,234,237,219,189,181,167,146,188,188,222,222,189,150,127,113,78,205,215,170,126,84,64,58,51,217,220,224,220,236,238,222,198,194,177,152,196,191,217,211,167,138,118,96,97,130,75,56,47,49,50,54,63,220,222,228,221,230,231,218,202,195,179,161,187,210,194,183,148,125,109,87,55,45,44,51,47,52,45,43,58,223,226,230,227,223,231,219,205,191,178,168,174,199,180,156,136,115,103,61,34,45,55,42,40,50,53,36,45,223,226,231,227,217,235,219,204,189,177,160,163,185,170,144,126,108,86,61,29,33,56,49,32,40,54,47,35,225,228,233,227,222,234,211,193,183,175,155,163,178,161,125,115,96,61,68,42,21,40,56,39,30,44,52,39,228,232,236,228,223,232,195,176,180,169,154,167,166,145,113,99,59,32,57,59,21,23,47,51,30,30,47,47,229,232,236,228,221,242,197,186,194,181,166,168,155,129,109,79,52,23,40,61,35,12,31,49,44,24,36,49,231,233,242,212,207,245,206,207,213,183,163,162,146,122,102,57,51,29,27,48,48,12,17,38,51,35,27,44,232,233,251,174,169,248,221,228,216,172,164,165,142,119,92,55,42,39,17,35,53,22,9,29,48,46,29,32
23,127,130,131,135,140,145,148,151,153,155,157,159,160,162,164,165,166,165,166,166,164,164,164,163,162,162,161,162,128,131,132,137,142,145,150,151,153,156,158,160,162,163,164,166,167,166,166,165,166,165,165,165,165,164,163,162,128,132,133,138,143,146,150,152,154,158,159,161,164,164,165,166,167,167,165,166,167,167,165,165,166,165,165,164,129,132,134,138,143,146,151,153,155,159,160,163,165,167,167,167,167,167,167,169,170,170,171,168,166,165,165,165,130,132,135,139,145,149,152,155,157,160,162,164,165,166,169,169,169,170,169,169,166,151,146,160,169,168,166,166,132,133,135,141,146,151,154,157,159,161,163,164,166,167,169,171,171,170,169,167,160,148,140,132,154,156,169,166,132,134,135,141,146,151,154,157,159,162,165,166,167,169,170,170,172,176,162,169,164,128,151,144,113,90,172,167,132,135,138,143,147,151,155,158,160,164,166,168,170,172,173,172,179,174,134,142,112,65,112,99,86,134,173,168,133,137,139,143,148,152,156,160,162,165,167,170,170,173,172,178,178,169,111,57,103,143,174,160,167,177,171,171,135,138,140,144,149,152,156,159,163,166,168,169,170,173,173,184,173,171,110,87,190,175,177,177,175,172,172,172,136,137,141,145,150,155,158,161,164,166,168,170,171,171,171,176,164,166,147,147,164,138,119,171,175,173,173,173,137,138,142,147,151,156,160,162,165,167,171,171,176,161,157,155,166,171,172,180,166,142,62,139,185,173,174,173,137,139,142,147,152,156,160,163,164,168,170,177,179,157,137,137,144,142,136,150,145,131,62,124,188,173,174,174,138,139,141,148,153,157,161,164,165,169,171,181,173,145,118,110,148,157,148,135,116,120,71,113,190,175,176,175,139,140,142,148,154,158,161,164,169,170,175,187,174,144,122,118,129,147,153,159,142,105,57,103,190,176,177,177,139,140,144,150,155,159,162,166,169,169,184,187,176,160,158,158,139,117,106,118,129,102,39,111,195,176,177,178,140,141,145,151,156,160,164,168,170,172,189,186,175,159,159,148,161,142,118,106,80,68,40,106,178,180,178,178,140,141,145,152,156,160,164,168,169,186,191,191,170,146,142,112,158,159,129,101,71,47,72,112,128,192,178,179,139,141,146,151,157,161,166,164,181,199,190,182,141,99,103,87,91,136,141,91,56,52,77,101,63,133,190,178,141,143,147,152,157,163,162,175,201,198,184,160,138,100,59,67,85,168,157,81,55,51,77,73,45,43,174,184,142,143,146,152,157,160,169,200,201,190,173,150,136,107,53,87,143,163,128,65,49,45,74,66,54,35,144,191,143,144,146,152,158,158,197,204,193,178,158,154,134,94,50,46,78,96,80,44,41,64,72,66,43,69,173,184,143,145,147,154,154,176,209,198,189,171,157,148,120,91,65,38,42,51,58,54,48,75,72,56,92,174,188,182,142,141,151,155,162,207,198,192,180,160,149,135,109,83,56,52,74,80,77,72,59,52,74,136,192,188,183,184,140,143,133,125,197,204,187,180,165,151,137,121,96,73,52,67,86,87,81,64,51,101,179,192,184,184,184,183,139,150,75,36,190,201,177,166,148,134,123,108,85,68,58,76,80,74,50,60,149,194,189,184,185,185,185,184,144,125,48,37,68,148,168,149,140,128,117,99,81,60,56,70,65,44,71,166,196,185,186,187,186,185,185,185,145,74,34,42,36,46,91,113,113,110,99,91,64,38,38,48,50,95,181,195,185,188,188,188,187,185,185,185
6,199,201,204,206,207,209,210,210,210,210,210,209,209,207,206,205,204,204,202,200,198,197,197,195,196,194,192,191,201,204,207,207,208,210,210,212,212,210,211,211,211,209,208,206,206,204,204,202,200,199,199,198,199,196,193,192,204,206,208,209,211,212,212,213,212,212,212,212,213,211,209,208,209,207,206,205,204,202,200,200,198,197,195,194,206,208,209,210,213,212,213,214,214,215,214,213,213,212,212,210,210,209,208,207,207,204,202,201,199,198,196,195,206,210,213,212,214,215,216,215,215,216,216,215,215,213,211,211,210,208,208,208,207,206,203,203,200,200,198,197,208,210,214,214,215,216,216,217,217,216,216,215,215,213,212,214,214,212,213,213,211,212,210,206,203,202,199,197,210,211,215,215,217,220,219,218,217,217,218,220,219,217,215,214,210,204,196,190,190,182,174,170,168,146,175,193,213,214,216,216,218,220,220,220,220,219,216,202,194,197,194,179,162,147,127,143,159,167,151,149,149,121,178,194,214,216,218,219,219,220,221,223,223,206,192,158,149,152,157,168,155,140,131,134,150,161,142,135,127,107,124,143,214,216,220,221,221,222,224,220,216,205,189,170,153,137,99,124,132,128,105,87,95,87,87,89,100,108,130,166,216,217,220,222,223,225,219,217,205,188,183,169,165,164,98,57,57,53,58,100,134,158,173,191,206,207,211,210,217,219,222,225,225,219,206,209,185,168,176,176,181,140,81,61,42,123,183,213,225,224,221,218,215,212,209,206,218,221,225,222,214,204,200,188,176,173,169,178,179,123,65,62,56,112,233,220,216,214,214,214,214,212,210,208,218,222,220,213,205,202,194,185,182,172,166,177,167,153,111,64,62,40,134,235,217,218,216,216,215,213,211,209,223,215,211,211,204,198,186,181,177,169,165,167,167,169,134,79,56,63,54,198,226,218,217,216,215,214,212,211,189,221,213,205,195,192,180,173,168,162,162,163,170,168,122,76,61,64,38,156,236,218,219,218,216,215,215,214,68,143,222,213,193,181,172,164,161,160,158,160,167,168,137,86,55,58,61,208,227,221,220,220,219,217,215,214,66,51,101,189,193,175,173,169,165,163,164,162,169,167,157,108,59,52,60,213,228,224,221,222,220,218,216,215,61,64,32,52,149,189,170,163,162,161,166,168,167,168,150,99,63,65,43,189,236,223,223,222,220,221,218,216,59,40,36,24,39,130,162,162,165,164,158,147,144,139,113,89,71,69,59,212,234,225,225,223,221,220,218,216,39,31,28,34,29,26,100,156,161,155,144,130,120,108,92,83,80,79,44,145,245,225,226,223,222,221,219,217,29,36,35,31,27,25,20,83,154,156,139,122,110,123,112,77,80,79,38,146,244,225,227,226,223,223,220,218,31,37,39,30,21,28,23,10,77,134,118,102,80,101,75,58,74,77,134,230,231,229,229,227,224,224,222,220,34,37,31,25,20,22,15,16,11,71,76,72,129,209,186,161,188,212,238,234,232,231,230,228,227,224,223,221,33,31,20,18,16,14,12,9,12,0,82,213,242,247,248,248,244,240,232,233,233,231,230,229,227,225,222,221,33,19,14,12,15,11,8,8,0,43,233,248,236,237,237,234,234,234,233,232,231,231,229,228,226,223,222,220,26,10,12,13,9,4,5,7,0,108,255,232,239,238,238,236,236,234,232,231,231,230,229,228,226,224,222,218,19,15,13,3,10,11,0,8,0,149,255,238,240,238,238,237,237,235,234,233,231,230,228,229,228,226,220,216
6,196,196,197,198,198,198,198,198,200,201,201,201,201,200,201,202,199,200,201,202,201,200,199,199,198,197,197,196,197,197,198,200,200,200,200,200,200,200,200,201,203,203,203,203,203,203,203,203,202,203,201,200,201,199,198,199,198,198,199,200,200,200,202,202,201,200,200,201,203,204,204,205,203,203,205,205,205,205,203,202,201,199,199,201,198,199,199,201,201,201,203,204,204,204,203,202,204,205,207,208,208,207,205,207,205,203,203,205,200,203,203,201,199,201,201,201,204,204,204,204,204,205,208,206,206,206,204,197,191,193,191,193,187,177,159,161,184,180,200,204,201,202,202,203,204,204,204,205,206,204,201,198,188,187,189,180,184,188,208,208,193,181,163,149,166,139,193,207,200,202,202,204,205,207,206,200,189,180,184,183,184,202,203,186,174,178,181,170,152,131,121,126,135,162,208,206,198,201,203,206,206,203,199,192,180,168,166,173,178,170,158,137,121,111,111,128,140,154,171,190,202,209,207,207,200,201,203,200,199,197,195,196,180,153,125,116,108,92,89,90,96,141,190,208,213,216,215,212,209,207,207,207,199,199,197,192,189,192,194,193,189,170,115,74,60,67,101,144,189,217,213,212,208,206,207,208,208,207,205,205,199,190,188,189,193,189,193,198,197,157,107,70,62,68,98,212,217,205,209,209,207,207,208,207,207,207,206,204,187,188,190,189,187,192,201,201,163,104,87,70,63,73,69,95,192,219,208,210,209,208,208,207,208,206,206,206,190,192,187,189,189,197,196,196,181,148,96,61,61,81,77,61,68,181,219,209,209,209,210,210,209,208,207,207,198,192,188,192,196,194,195,209,210,176,110,62,54,72,96,92,69,72,207,214,211,213,211,210,208,207,207,207,193,194,193,190,194,200,198,214,201,148,97,66,64,62,71,80,85,53,166,221,209,211,210,211,210,208,208,208,196,195,192,190,193,196,191,199,188,135,85,65,67,67,54,56,64,86,197,221,216,216,216,216,215,215,210,206,198,191,186,184,179,182,184,190,188,152,95,51,61,73,74,70,52,146,188,188,193,196,200,198,191,191,204,212,193,189,187,185,182,185,190,198,203,167,96,56,44,57,96,71,63,82,81,86,90,87,82,94,139,183,217,217,187,195,193,189,189,195,198,206,199,149,78,61,61,49,60,76,78,83,79,77,69,101,139,179,217,216,225,226,191,191,185,184,183,178,173,185,157,113,80,68,65,61,60,86,100,83,94,113,160,216,232,205,188,197,199,215,184,175,170,173,162,150,148,149,123,99,84,78,73,61,63,76,108,172,205,213,223,206,197,199,186,176,190,195,167,169,161,150,141,135,134,127,105,84,79,81,80,66,77,140,222,240,228,215,201,184,172,175,182,170,161,166,140,145,142,129,122,112,97,95,96,83,85,79,82,125,200,242,228,208,205,200,182,164,159,160,171,166,153,159,90,97,97,94,83,76,77,82,84,87,75,121,199,240,240,229,215,200,193,199,170,142,152,152,156,160,153,153,58,59,68,71,73,81,84,85,89,70,140,221,235,227,217,209,196,194,194,195,161,120,140,146,140,154,147,144,71,72,83,86,80,82,86,86,68,151,233,208,212,195,205,198,179,187,194,196,156,106,121,136,137,144,139,148,79,80,81,81,80,82,81,70,157,232,201,191,192,192,201,185,168,173,188,193,158,99,100,124,131,135,145,140,80,79,79,80,82,79,92,173,225,205,191,178,189,191,197,174,157,159,179,195,161,103,92,113,129,138,151,130
0,192,193,195,197,198,200,203,203,204,205,205,205,206,207,210,207,210,210,209,210,210,210,210,211,211,210,211,211,193,195,198,199,200,201,204,205,205,206,207,207,208,210,212,211,211,211,211,212,212,212,212,212,212,211,212,211,193,195,198,201,203,203,205,206,207,210,210,210,211,213,211,210,213,213,212,212,212,214,213,214,214,213,212,213,193,196,199,201,203,204,206,207,209,212,211,212,213,212,211,214,215,213,213,213,215,216,213,215,216,215,215,216,196,199,201,203,203,205,207,209,210,210,214,215,213,220,225,210,209,221,233,209,212,237,192,211,219,218,218,216,199,200,202,204,205,209,209,210,209,222,245,209,189,244,234,193,172,233,239,202,181,237,191,185,224,215,217,217,199,201,204,206,207,209,211,215,211,250,245,218,162,207,232,208,160,184,237,210,161,208,215,167,214,219,217,220,201,203,204,207,210,208,239,230,196,246,239,229,178,194,232,218,170,183,240,213,151,166,225,183,170,206,223,219,202,204,205,209,203,227,255,233,193,224,246,227,192,192,233,222,168,194,239,200,155,118,209,206,185,158,203,225,201,205,207,209,204,246,255,241,209,206,247,225,193,184,242,226,156,195,232,179,142,82,175,222,205,150,181,233,203,205,209,207,215,251,251,252,220,191,244,226,187,182,245,221,148,158,197,165,115,97,212,231,210,155,198,231,204,206,209,204,229,241,232,251,222,179,228,223,180,170,230,205,149,123,169,158,88,146,239,229,202,155,222,228,206,208,210,205,246,246,227,229,188,144,197,203,171,144,181,176,142,115,174,153,124,218,236,219,169,166,232,226,206,210,210,222,255,238,200,209,163,124,172,183,165,120,148,164,111,143,213,214,220,220,216,195,154,188,234,228,207,211,204,234,255,240,206,191,177,138,158,192,173,105,127,162,181,237,243,234,219,197,183,171,148,200,233,228,211,214,207,227,255,248,229,196,179,153,160,209,169,102,149,233,255,246,239,227,208,184,164,158,138,218,232,230,213,214,211,228,255,252,238,220,197,181,186,200,184,203,252,255,250,239,230,215,191,169,159,140,177,237,229,232,212,215,212,233,255,254,245,231,221,196,202,218,241,255,255,251,244,231,213,195,174,162,145,163,234,232,232,231,211,215,211,232,255,254,252,242,233,217,214,231,245,254,254,248,237,223,200,176,159,149,142,223,235,233,234,232,212,216,213,231,255,254,254,248,238,227,221,227,242,253,247,238,230,209,182,161,151,134,199,240,232,234,234,234,211,216,218,227,255,254,254,247,232,219,218,220,233,242,235,220,210,193,165,155,130,178,242,234,236,236,236,235,213,217,219,219,251,255,250,239,225,211,213,217,225,227,213,200,184,169,154,128,162,242,235,237,236,236,235,235,216,221,223,218,245,255,245,235,223,210,219,225,228,221,203,186,162,145,117,139,235,239,237,237,238,238,236,237,200,190,190,176,179,185,171,161,157,152,164,167,162,157,145,141,133,118,127,237,241,235,238,238,239,239,238,238,158,148,149,143,130,128,126,114,108,95,90,82,76,78,74,74,78,82,110,182,236,239,238,239,240,239,239,238,149,152,149,144,139,134,128,116,109,99,95,83,79,77,74,71,69,72,73,57,172,253,236,239,239,239,238,238,158,150,152,148,141,130,125,117,104,99,91,82,76,75,72,67,69,70,74,58,196,249,237,239,239,240,241,241,171,152,153,146,140,130,124,114,101,98,90,82,77,74,71,68,67,70,61,107,251,238,239,239,240,240,242,242
17,142,145,147,152,153,154,155,156,159,160,161,162,163,167,165,167,168,167,168,168,169,170,168,167,167,168,168,167,145,148,150,154,155,157,159,160,160,161,162,163,165,165,168,167,169,168,169,170,171,171,169,168,168,168,167,166,149,153,154,156,159,160,162,163,163,163,165,164,183,145,145,175,170,170,170,171,172,172,171,170,170,170,169,168,153,155,158,161,163,163,165,166,167,168,166,176,177,113,116,180,172,174,174,174,174,174,174,172,171,171,171,170,158,161,163,166,167,168,168,169,170,172,170,180,192,109,113,185,174,177,176,176,177,176,177,176,175,175,175,173,162,165,168,169,172,172,173,175,175,176,173,186,209,140,102,179,178,179,180,179,180,179,180,179,178,176,177,177,166,170,172,174,177,177,177,178,179,181,178,195,213,159,86,155,189,182,183,183,183,183,184,184,183,179,178,178,170,175,176,178,181,181,182,183,185,186,181,204,205,174,108,127,195,184,186,186,187,187,188,187,185,183,182,182,175,177,181,184,185,185,186,187,189,190,183,215,184,193,131,105,192,191,191,191,191,191,190,189,188,187,186,186,179,182,185,187,189,189,190,192,192,192,193,219,164,205,145,98,185,197,194,196,195,194,194,194,192,191,190,189,182,185,188,192,193,193,195,195,195,193,189,223,176,218,178,105,171,204,197,199,199,199,198,197,196,195,193,192,185,188,191,194,195,195,197,198,201,205,174,147,149,209,192,116,155,209,199,202,202,201,201,199,198,198,197,196,189,191,195,196,197,198,200,198,214,225,191,136,93,164,189,121,139,213,201,206,206,206,204,202,200,200,199,198,191,194,197,198,200,201,203,203,209,181,179,178,150,130,141,117,124,215,205,207,208,207,207,207,204,203,201,200,193,196,199,201,204,204,205,207,213,156,162,193,206,173,100,91,112,213,208,210,210,211,211,209,207,205,204,205,196,200,202,206,206,206,204,211,235,218,154,165,191,156,91,78,93,201,214,213,213,213,212,211,211,209,207,207,198,201,205,207,208,207,214,202,158,233,176,105,172,162,102,79,75,178,223,213,215,215,215,214,213,212,211,208,199,203,207,208,210,210,222,187,117,154,185,73,125,197,119,80,65,165,228,215,218,217,217,216,215,215,214,212,202,207,209,211,211,214,226,200,148,105,168,112,116,218,141,92,62,160,232,216,219,219,219,217,216,215,215,213,205,208,211,213,213,218,215,155,116,85,145,140,147,228,163,114,64,163,234,219,221,221,221,219,217,217,216,216,207,209,212,215,214,221,207,171,130,123,120,160,201,210,168,129,71,175,232,219,222,222,221,221,222,221,219,217,208,211,214,217,216,227,223,164,149,142,146,239,219,179,148,122,77,200,230,223,225,224,222,222,222,221,221,220,210,213,215,218,219,241,207,179,169,126,181,237,184,165,139,102,87,218,228,226,226,226,226,224,222,222,221,221,212,214,217,219,222,244,220,203,144,140,195,217,169,163,139,89,95,229,229,229,229,228,227,227,225,225,222,222,213,216,219,219,223,238,237,174,169,139,225,216,168,159,126,81,110,236,229,230,230,229,229,228,227,227,224,223,214,217,219,222,222,224,222,183,174,154,241,210,164,142,112,74,128,240,229,231,231,230,230,229,227,227,226,224,214,217,219,222,221,214,211,197,163,160,236,194,146,118,99,68,161,243,230,235,232,231,230,230,229,228,228,228,215,220,221,222,226,213,192,195,165,163,218,176,132,102,86,79,210,238,232,234,233,233,233,232,230,230,229,229
5,155,159,163,166,168,170,172,173,175,178,179,180,180,183,184,186,187,188,190,190,190,192,193,192,192,193,194,194,156,161,164,166,169,172,173,174,177,179,180,180,184,185,185,186,187,190,191,191,193,193,193,193,193,194,195,194,157,161,165,167,170,173,174,176,177,179,182,182,162,184,187,187,189,191,192,192,186,193,193,195,195,195,195,195,157,162,166,168,171,174,173,178,180,180,181,194,139,172,190,188,191,192,191,199,157,174,197,194,195,195,196,195,159,163,166,168,172,175,187,155,175,183,182,199,141,168,193,189,191,191,193,202,142,169,201,194,196,197,197,196,160,163,167,170,175,171,203,163,151,187,184,205,149,170,194,190,192,192,201,172,133,192,198,198,199,198,198,197,161,164,168,172,175,172,191,187,141,185,188,205,155,168,195,190,192,200,198,137,158,204,197,200,200,199,198,198,162,166,169,173,177,176,185,212,157,174,195,192,141,166,197,191,194,200,170,138,196,200,199,200,201,200,199,200,162,167,170,173,177,178,180,224,177,157,197,182,146,165,199,188,188,170,131,172,204,198,200,201,202,201,201,200,163,168,171,174,178,179,177,214,202,150,191,178,159,160,196,183,180,129,149,204,200,201,202,202,203,203,202,202,163,168,172,175,179,180,179,195,222,188,169,167,161,151,176,179,169,132,194,202,200,201,201,203,203,203,203,203,165,169,173,175,178,180,181,184,217,218,180,146,153,136,147,170,146,156,206,201,203,204,203,203,204,204,204,202,164,169,173,176,179,179,182,183,199,227,204,163,137,133,136,141,133,187,204,203,203,201,203,205,205,206,205,205,164,169,173,177,179,179,182,185,186,223,212,174,138,126,129,127,136,203,198,195,192,191,195,198,196,195,200,198,165,170,175,178,179,180,184,186,183,218,215,173,137,122,122,125,136,168,186,187,180,191,205,200,195,194,185,158,167,171,174,177,180,182,184,187,186,226,213,176,143,119,119,123,139,149,168,170,146,148,166,161,163,181,171,138,167,172,174,178,181,182,186,185,194,236,204,172,142,122,119,124,136,140,133,137,147,179,183,183,184,189,161,152,166,170,175,179,181,182,186,182,210,235,195,168,139,121,120,123,125,128,157,183,204,213,210,194,193,162,153,202,166,171,176,179,181,183,187,184,226,225,190,164,135,121,122,126,114,164,211,213,208,198,181,184,177,139,205,210,167,171,176,179,181,184,185,194,236,220,186,152,134,119,120,129,140,159,165,186,185,181,190,187,146,160,215,205,168,172,176,179,181,184,182,211,236,210,176,152,137,118,122,136,153,164,160,156,177,187,182,157,155,201,210,208,168,172,177,180,181,183,184,227,229,201,170,159,141,116,131,158,170,175,167,162,178,162,153,182,211,212,210,209,168,172,177,180,182,180,197,235,224,197,171,162,141,117,139,171,172,174,170,150,141,160,201,214,209,209,209,208,169,173,177,180,182,179,220,232,216,194,172,158,141,119,147,175,166,173,158,131,170,211,211,208,209,209,209,209,169,173,177,181,178,196,234,220,212,191,159,147,133,120,154,170,161,160,146,189,213,208,209,210,210,210,210,209,169,173,177,181,179,220,225,210,202,180,147,141,126,129,152,155,155,147,195,212,208,210,210,209,210,211,210,209,169,173,178,177,200,223,212,204,201,179,137,134,128,134,137,143,159,194,212,207,209,210,210,210,210,210,210,210,169,174,177,180,224,215,207,198,207,173,126,136,138,128,129,167,206,210,208,209,209,210,210,211,211,210,211,210
10,88,94,100,97,80,64,75,41,31,64,63,71,74,88,102,106,112,120,123,129,135,139,140,144,145,148,150,152,95,102,108,99,87,66,86,34,40,65,66,67,96,132,99,109,113,121,126,131,135,139,141,145,147,149,150,152,105,112,118,102,94,68,94,27,48,64,69,61,139,160,83,110,117,124,129,133,136,140,144,146,148,149,151,152,115,122,126,106,99,73,98,22,55,65,70,65,125,168,86,98,125,127,131,135,139,143,148,150,151,151,152,153,124,132,133,110,101,81,98,19,61,66,70,69,102,169,104,84,129,133,137,141,144,149,153,155,157,157,156,157,132,142,139,115,102,91,92,20,68,67,70,75,88,167,136,81,127,140,143,146,152,157,160,162,162,163,163,163,140,151,142,121,101,102,83,25,72,68,73,77,84,157,157,88,115,149,148,153,159,164,167,168,169,169,169,170,147,157,144,127,99,115,73,32,72,69,74,80,89,143,169,99,99,156,154,160,164,170,172,174,175,175,175,176,152,163,143,132,97,125,60,41,74,70,74,81,92,142,187,117,92,160,160,165,171,175,178,182,182,183,182,183,157,167,145,137,97,134,49,46,71,71,75,81,95,145,185,126,91,163,167,172,176,180,183,186,187,188,188,188,162,169,145,141,98,137,34,77,80,71,74,84,99,144,171,125,86,159,173,175,182,186,189,192,193,194,194,194,166,172,147,140,102,127,88,132,74,81,94,84,106,151,152,130,82,153,180,180,186,191,194,197,197,197,198,199,169,171,147,137,107,124,122,124,69,64,66,70,100,160,138,160,77,141,186,183,190,196,199,201,201,201,201,202,172,172,151,133,112,147,93,114,98,70,58,50,55,86,112,134,73,125,192,186,194,199,202,204,204,204,205,206,175,171,155,128,120,120,61,68,117,103,82,50,34,63,89,100,82,102,192,191,197,201,203,206,206,206,207,208,177,169,162,124,130,105,58,110,132,119,82,53,43,51,68,83,80,84,190,195,199,204,207,208,208,209,210,210,180,168,165,118,148,76,88,182,156,114,86,65,57,53,61,69,73,83,191,198,201,206,209,210,211,212,212,213,181,168,166,113,154,61,99,184,152,100,108,87,64,58,57,63,66,86,195,199,204,208,211,213,214,215,215,216,183,168,166,111,160,52,64,198,187,86,77,107,85,70,55,56,63,95,201,200,206,211,213,214,215,216,216,217,182,170,168,111,163,41,68,197,195,79,111,109,106,84,58,57,55,110,205,199,207,211,215,215,216,218,218,218,181,171,169,114,170,35,66,181,140,99,172,132,107,99,66,61,51,117,208,200,208,212,215,217,218,220,221,221,181,175,165,119,166,30,61,164,182,146,178,154,116,104,81,68,55,126,207,201,207,211,215,216,217,220,221,220,183,180,159,127,159,26,63,133,185,160,169,155,142,110,85,73,56,131,207,201,207,211,215,216,218,218,221,220,185,183,151,139,145,15,70,83,173,186,169,166,141,117,92,76,57,125,206,200,206,210,213,217,218,217,219,221,183,185,143,145,143,51,92,75,163,187,165,182,135,115,88,79,62,140,212,208,214,218,222,224,226,227,228,232,174,187,139,145,171,110,105,101,134,186,162,174,133,105,89,85,66,116,150,152,157,161,168,170,173,177,181,179,180,185,135,154,166,96,95,100,99,167,160,148,140,121,109,88,62,89,109,106,107,108,108,109,109,108,109,71,183,181,131,161,161,101,101,105,100,128,138,129,141,146,136,89,55,61,117,114,118,120,119,117,116,122,94,60
8,145,144,146,149,150,150,149,148,148,147,147,146,146,145,145,143,142,142,141,139,138,138,137,136,134,132,130,130,147,147,149,150,150,150,150,150,150,149,148,148,149,146,145,144,143,143,143,140,140,140,139,137,135,133,131,131,150,150,150,152,151,151,150,150,151,151,150,144,138,148,146,146,145,146,145,142,141,140,139,138,137,134,134,133,150,151,152,153,154,154,153,151,151,150,154,140,86,140,152,148,148,147,145,143,142,142,141,140,138,137,135,133,151,152,153,154,155,154,154,154,154,150,161,127,62,134,154,150,150,147,146,146,144,144,143,143,141,139,136,134,153,154,154,156,157,155,156,156,156,153,166,102,61,148,153,151,150,148,147,147,146,145,145,143,142,139,138,137,154,156,156,158,159,158,157,159,156,161,169,95,74,159,151,152,151,150,149,148,147,147,145,144,143,141,139,139,155,157,157,157,159,159,159,160,154,169,164,86,89,162,151,156,156,149,150,149,148,147,145,145,143,142,141,139,156,158,159,158,159,160,160,159,155,173,150,71,101,164,156,132,132,159,152,149,148,147,146,146,144,142,142,139,157,158,160,160,161,160,160,162,157,178,147,99,116,161,166,135,90,124,149,156,150,148,147,147,146,143,142,141,159,160,160,161,161,162,162,163,160,181,147,127,128,156,158,162,128,90,94,106,153,154,154,150,147,145,144,142,160,161,161,162,163,164,164,163,162,175,154,136,142,173,135,168,153,144,125,59,74,110,102,147,149,145,145,144,161,162,163,163,164,165,165,161,172,170,138,146,159,162,129,117,151,139,125,78,23,34,30,75,158,145,146,144,161,163,164,164,165,165,166,165,171,149,136,139,148,148,117,63,92,160,127,89,31,20,30,34,145,150,147,145,162,164,166,166,166,167,164,175,170,129,116,118,141,135,88,46,28,170,141,95,34,35,41,39,150,150,148,147,164,165,166,166,167,168,165,189,177,146,107,79,132,118,69,43,54,168,151,98,37,26,18,95,161,149,149,147,165,166,167,168,170,165,176,196,171,143,115,86,123,147,127,149,153,141,136,96,50,4,55,157,151,151,150,148,165,168,169,168,170,166,187,189,159,146,120,106,83,161,178,151,155,124,104,97,53,37,150,159,153,153,152,151,167,169,170,170,171,171,194,180,159,148,106,91,134,176,163,129,144,127,79,92,36,99,170,155,156,155,153,150,167,169,170,171,168,176,197,177,161,144,105,132,179,170,154,127,123,122,64,65,23,136,164,157,158,155,153,151,169,169,171,170,173,180,194,180,163,141,122,162,172,162,143,117,109,103,61,33,48,168,159,159,158,155,155,154,170,171,172,175,152,180,193,179,156,136,124,154,154,143,130,105,106,79,46,12,105,172,160,159,159,157,155,153,169,169,177,158,43,85,166,162,134,121,126,132,146,131,114,99,84,51,24,26,158,163,163,160,159,157,156,154,171,171,177,75,37,29,55,131,142,131,126,125,146,124,100,78,48,34,4,101,172,161,163,160,159,158,157,156,168,183,122,32,37,36,29,36,95,125,116,123,134,99,71,52,39,12,55,172,163,164,163,160,160,158,157,156,179,158,49,35,33,29,33,15,0,32,46,85,107,68,39,34,11,39,161,169,165,165,163,162,160,159,158,157,174,79,29,35,30,25,27,31,0,4,5,5,19,26,19,6,62,161,170,165,165,165,163,162,159,158,157,156,105,28,34,31,27,21,24,29,0,0,7,0,0,0,0,43,179,167,165,165,164,164,163,160,159,157,155,154
12,138,138,139,141,142,142,145,145,145,146,145,145,145,145,144,143,143,143,142,142,142,141,140,139,139,137,137,138,139,140,141,142,143,145,145,146,146,147,147,147,147,145,146,146,145,143,143,142,142,142,141,141,140,140,139,138,140,141,142,143,145,146,146,147,148,148,148,148,148,148,148,148,146,145,145,144,144,144,143,143,142,142,140,140,141,142,143,146,146,147,148,148,148,148,149,150,148,148,148,147,147,147,147,146,146,145,145,144,143,142,142,141,142,144,146,147,147,148,149,151,150,150,151,151,151,153,150,148,149,151,152,146,146,146,147,146,144,143,143,142,143,145,147,148,148,150,151,152,152,153,153,151,149,143,149,154,144,123,123,153,151,150,147,147,146,146,144,143,145,147,148,149,151,152,153,153,153,154,152,159,150,114,97,148,139,102,56,123,138,134,152,149,146,146,146,145,147,148,150,152,153,153,154,155,155,155,157,164,148,114,60,111,134,100,68,73,116,74,91,152,147,147,147,146,147,149,152,153,154,154,155,155,156,154,135,158,138,101,57,96,159,116,85,70,105,77,47,109,157,147,148,148,149,150,153,153,154,155,156,155,169,157,108,130,148,109,46,108,194,128,94,90,111,79,50,92,160,148,149,149,150,151,153,154,155,156,154,170,185,157,121,91,179,139,52,96,179,110,73,132,124,89,43,103,161,149,150,150,152,152,153,155,157,159,155,176,177,162,122,73,159,127,72,81,110,84,87,160,110,65,38,114,161,152,152,151,152,153,155,157,158,158,159,186,162,141,102,67,66,84,66,70,112,147,141,112,73,42,47,142,158,153,153,153,152,155,157,158,159,158,179,181,154,102,80,66,33,40,117,145,145,146,133,105,100,54,88,165,153,154,153,154,154,155,157,159,159,160,192,172,138,104,102,53,33,122,177,168,149,135,114,97,101,61,103,167,155,156,155,154,155,156,159,160,160,162,193,175,116,120,123,63,108,183,175,168,148,129,115,95,85,49,112,168,156,158,157,155,156,158,159,161,159,170,195,175,148,133,113,131,172,178,175,162,146,124,109,90,70,41,128,167,158,158,157,157,156,158,160,163,160,176,195,180,164,153,120,147,171,178,167,157,140,112,100,82,64,34,121,169,157,159,159,158,158,159,161,163,161,175,192,183,170,156,127,157,168,170,156,147,128,105,92,73,59,32,118,171,159,161,159,159,159,160,162,165,163,172,187,181,175,154,128,147,162,154,148,141,115,94,79,64,48,39,151,165,161,162,160,159,160,160,162,164,162,168,187,182,175,142,121,139,146,150,140,128,101,84,71,58,32,114,170,163,164,163,162,161,160,160,163,164,173,170,176,175,153,122,121,139,145,151,139,117,102,83,66,45,116,171,163,165,165,164,162,162,159,160,164,164,119,159,178,162,149,145,140,138,151,154,134,105,99,78,41,115,178,164,165,165,165,165,163,162,160,160,169,141,45,82,177,175,166,154,136,121,141,141,112,89,86,48,85,174,166,167,166,165,165,165,164,163,161,162,166,90,72,54,86,138,132,123,116,109,129,118,92,82,58,62,167,170,167,168,168,166,166,165,165,164,159,170,140,64,72,68,19,51,51,51,47,49,69,73,71,62,45,148,176,168,169,169,168,167,167,166,166,165,158,164,96,65,68,75,19,26,44,40,31,25,22,25,31,20,40,156,172,169,169,169,169,168,167,166,166,164,166,138,67,68,66,72,15,13,36,37,30,27,26,23,18,13,1,97,181,167,169,168,168,167,166,166,165,163
6,206,208,210,211,212,212,212,212,213,214,214,215,214,214,214,215,214,213,212,211,210,209,208,207,205,204,203,203,208,209,210,212,213,213,213,213,214,215,216,215,215,215,215,216,215,215,214,212,211,211,210,209,207,206,205,205,209,210,212,213,214,215,215,215,215,216,216,215,215,216,217,217,216,216,215,215,214,213,212,211,210,208,207,207,211,212,214,214,215,217,217,216,216,216,216,217,217,218,218,218,217,217,216,216,215,214,213,212,211,210,209,208,214,214,215,216,217,217,218,218,218,218,218,218,219,219,220,220,219,219,219,218,216,215,214,214,212,211,210,208,215,216,217,218,218,219,219,220,220,220,220,221,220,220,221,221,221,221,220,219,218,217,216,215,214,213,212,211,216,217,218,219,220,221,222,222,221,221,222,223,222,222,222,222,222,222,222,221,219,218,217,215,215,214,213,213,217,219,220,220,221,222,223,223,223,223,224,224,223,223,223,223,223,223,223,223,220,219,219,217,216,215,214,214,218,220,221,221,222,223,224,224,224,225,226,225,222,220,221,223,223,222,222,221,220,218,218,217,215,214,213,216,220,221,222,223,223,224,225,226,227,228,228,225,216,204,205,215,219,219,219,218,216,212,212,211,210,210,207,222,221,223,224,225,226,227,227,227,224,223,224,221,213,194,176,190,204,209,210,209,202,201,200,200,200,200,196,204,228,228,227,224,222,222,222,220,215,215,216,216,214,196,158,150,158,167,175,179,180,179,179,182,184,185,186,189,237,234,227,219,215,214,213,210,206,205,204,200,195,177,149,136,130,136,164,184,193,197,201,206,209,210,211,214,237,233,226,216,209,204,200,199,199,197,194,193,192,171,143,133,136,142,171,207,223,225,225,226,225,224,220,211,234,229,223,213,203,196,193,193,194,195,197,202,206,186,146,128,132,142,147,169,207,227,228,229,228,224,201,169,229,224,218,211,201,191,186,185,189,194,200,204,201,182,154,138,135,137,139,142,170,219,230,229,228,217,167,137,224,219,216,213,203,194,186,184,186,189,196,204,193,169,152,148,148,142,136,135,157,214,229,229,224,196,145,129,219,215,213,211,205,198,192,187,187,186,189,199,196,167,140,139,152,155,145,135,166,220,226,222,197,152,124,111,203,203,205,206,206,203,197,191,190,190,192,201,195,167,142,134,141,151,153,143,164,201,191,176,147,119,107,96,150,158,174,193,206,208,203,197,193,190,191,197,192,169,152,149,146,141,142,141,142,150,139,128,115,103,93,87,84,90,108,146,190,206,202,196,192,188,183,180,177,165,160,163,157,149,140,125,116,118,121,117,108,98,88,82,65,62,63,81,131,179,188,183,179,177,175,168,154,139,140,154,160,157,142,116,94,97,107,105,100,96,91,84,58,54,53,55,72,131,182,192,196,200,205,201,161,127,124,137,150,143,133,115,89,82,93,96,93,93,94,88,52,48,46,45,65,146,198,207,210,213,216,215,192,162,153,150,141,116,119,112,86,73,78,87,87,87,92,91,47,43,40,39,72,138,154,156,158,159,162,164,162,158,158,153,130,99,110,109,82,67,69,77,80,82,88,90,44,41,39,38,70,123,132,132,132,132,134,135,134,135,143,141,117,89,103,102,77,63,67,72,74,77,82,86,45,43,41,37,73,129,136,135,135,135,134,134,136,136,129,119,104,85,96,94,73,60,63,68,70,72,77,81,50,47,40,36,84,133,137,137,138,138,136,135,134,127,114,102,95,84,90,90,71,60,60,65,66,69,73,77
2,179,179,178,178,178,179,179,178,177,176,176,176,175,174,173,172,171,169,171,170,168,167,167,168,166,163,162,161,180,180,180,180,180,180,180,180,180,179,178,178,178,177,176,175,174,172,173,171,170,169,168,168,166,165,163,163,181,181,182,182,181,181,181,180,181,181,179,180,180,179,177,171,169,172,172,175,175,174,171,168,168,165,165,165,182,183,184,184,183,183,183,182,183,183,181,182,179,184,184,168,159,160,155,151,156,165,177,170,170,168,167,167,184,185,185,185,185,185,186,185,185,184,183,180,193,199,184,175,170,160,153,135,125,102,122,179,171,170,170,167,185,186,185,184,186,187,186,185,185,185,182,193,203,197,192,192,191,170,157,155,123,118,84,139,175,173,169,168,186,187,187,186,187,187,187,187,187,184,190,202,200,204,137,116,147,109,102,157,149,138,115,96,105,155,173,169,189,189,189,188,188,188,188,189,187,185,199,203,187,163,102,59,66,64,63,96,120,104,74,73,65,149,178,169,190,191,190,191,192,191,190,188,191,201,214,164,109,89,72,62,59,67,164,152,160,139,100,84,119,178,173,172,192,194,193,192,192,193,191,193,211,218,200,146,100,72,52,54,55,119,193,185,186,186,181,173,179,175,174,174,193,194,195,194,194,194,191,206,218,212,177,136,106,84,68,52,108,184,182,183,183,180,181,182,179,177,175,175,195,195,195,195,195,187,203,218,211,180,133,102,89,74,59,112,196,185,186,186,183,182,181,182,181,178,176,174,197,197,197,198,190,202,226,217,197,176,125,70,65,70,63,169,192,186,187,186,186,184,182,182,181,178,178,175,198,198,199,191,203,230,224,202,181,177,125,84,68,56,107,198,188,189,189,188,188,187,185,182,182,181,179,176,199,202,194,203,231,227,207,191,193,151,107,81,60,48,173,198,191,189,190,190,188,186,185,184,184,183,178,178,203,200,198,230,232,219,199,202,177,131,105,68,59,49,151,206,191,191,192,190,190,188,191,187,174,177,185,178,203,197,226,235,229,212,198,187,157,125,91,51,56,58,71,182,196,193,192,191,190,193,171,147,143,124,158,185,198,216,238,229,220,203,190,178,151,107,71,52,60,62,55,108,207,190,196,198,196,152,124,144,152,96,136,188,208,238,230,220,207,198,181,166,132,89,65,65,74,75,71,69,170,207,185,148,113,114,138,146,99,129,186,180,239,240,224,213,198,183,170,152,110,84,68,80,90,90,86,72,80,130,97,98,89,114,137,96,106,195,184,183,134,212,223,203,192,173,162,136,107,84,75,92,95,94,86,82,72,82,85,106,115,112,102,57,172,190,186,186,60,86,160,176,168,163,147,134,103,74,78,97,92,91,87,82,79,93,100,105,108,87,56,100,196,187,187,186,70,61,60,109,130,118,111,92,70,68,74,88,86,86,82,81,85,91,93,84,75,94,143,188,193,190,188,187,59,66,60,56,68,72,63,50,57,63,63,76,81,79,68,67,61,61,80,121,163,195,203,195,194,193,190,189,60,58,57,63,58,35,41,48,45,45,51,60,53,49,72,93,103,141,188,206,206,200,196,195,194,192,191,189,59,54,56,52,64,40,15,29,28,27,43,57,83,136,190,207,210,211,205,200,199,199,197,197,195,193,192,190,57,54,53,50,62,56,12,17,24,14,61,186,216,216,211,207,204,203,203,203,202,202,200,198,196,195,193,191,52,50,48,46,54,57,13,13,18,17,10,54,194,212,206,209,208,207,207,205,204,202,202,200,197,196,194,192
1,129,129,130,129,130,131,131,130,131,131,130,131,130,130,129,127,127,128,126,124,123,122,121,120,119,118,116,114,133,133,132,133,133,134,134,134,134,134,133,133,133,132,132,133,129,119,127,127,127,126,125,122,121,120,118,117,137,136,136,136,137,137,137,137,138,137,136,137,136,135,132,126,140,85,109,140,128,128,127,126,125,122,121,120,140,140,139,139,140,140,140,140,140,140,140,140,139,138,143,92,123,92,77,117,133,131,129,128,127,125,123,123,143,141,142,142,143,143,143,143,143,143,143,143,142,142,145,79,118,87,40,64,115,138,132,131,129,128,126,124,145,145,145,144,145,145,145,146,145,145,146,146,146,148,134,71,127,70,63,85,89,144,132,133,133,130,128,127,146,148,147,147,147,147,149,149,147,146,148,143,119,148,124,75,141,72,82,96,76,146,135,135,134,133,131,128,151,150,150,150,151,151,152,151,151,150,150,144,83,130,123,89,136,61,92,103,77,147,138,139,137,135,134,132,152,153,152,153,154,152,152,152,153,151,152,140,76,132,98,105,124,58,114,109,78,148,140,141,139,137,137,134,155,154,155,154,154,155,154,153,154,153,158,129,75,137,85,120,124,71,135,98,77,151,141,142,141,139,139,136,157,157,157,157,157,158,157,157,157,156,159,120,72,147,88,122,128,70,131,96,82,154,143,144,143,142,140,138,158,157,158,159,158,159,160,159,158,159,161,102,74,152,76,110,115,56,134,104,90,156,146,146,145,144,142,140,160,160,159,160,160,160,160,160,160,159,162,101,76,140,56,106,102,56,141,96,88,159,148,147,147,145,144,142,161,161,161,161,161,163,162,162,161,163,156,89,82,126,94,121,121,82,99,84,92,161,150,150,148,146,144,143,163,163,164,163,163,163,164,163,163,163,142,114,117,95,106,108,110,106,87,72,72,155,153,152,151,149,147,146,164,164,165,165,164,164,165,165,164,161,149,125,94,80,85,103,115,95,88,102,64,135,160,152,153,150,148,147,165,165,166,166,165,165,166,166,165,165,146,103,74,80,85,116,120,99,133,132,74,107,166,153,153,151,149,148,165,166,166,166,166,166,167,168,166,160,143,99,70,89,95,123,130,141,108,133,106,86,164,155,155,153,152,150,166,167,168,168,168,168,169,169,167,154,149,112,67,80,110,129,137,150,122,117,106,62,153,159,157,155,153,152,169,168,169,170,169,170,169,170,166,151,154,123,81,70,110,132,139,138,123,107,72,46,155,160,158,156,154,152,170,170,170,170,170,170,170,172,168,146,152,126,92,70,103,147,152,148,118,93,53,76,170,158,159,158,156,154,170,170,171,171,171,171,171,173,170,144,139,126,98,80,113,158,150,139,106,79,40,130,170,159,159,158,157,155,170,170,171,171,171,172,171,172,172,150,140,126,107,91,124,153,141,122,92,59,57,168,163,162,160,159,159,156,168,169,171,170,170,171,171,171,174,157,136,134,119,94,123,144,131,104,77,36,105,175,162,162,160,159,158,156,169,169,170,171,171,171,172,171,173,163,137,137,122,99,113,123,105,82,47,44,161,165,163,161,159,158,156,154,170,170,171,171,171,172,172,171,174,162,142,137,120,103,105,108,83,56,29,131,171,163,164,162,159,158,156,154,169,170,171,172,171,171,171,172,174,152,147,137,131,116,98,92,63,30,122,178,164,166,164,163,161,161,163,154,169,170,171,172,171,171,172,174,168,140,153,142,138,113,93,72,35,67,177,166,168,166,164,163,162,149,122,76
16,104,101,99,97,98,100,100,102,102,108,121,132,142,150,158,165,168,171,175,175,181,187,191,195,199,203,206,208,104,101,99,97,98,98,100,102,101,108,121,131,141,149,157,166,170,168,171,177,182,184,191,195,198,202,205,207,103,101,98,96,98,98,99,99,99,108,119,130,140,149,157,163,166,187,172,152,172,191,193,191,197,201,203,207,102,100,97,96,97,97,99,100,98,108,120,129,140,146,158,163,197,203,173,144,123,137,177,201,198,199,203,206,103,99,96,96,97,97,98,98,98,107,120,133,131,185,203,199,205,179,153,146,129,102,99,146,197,208,206,207,102,99,97,96,97,97,97,96,98,105,121,118,154,224,199,187,181,163,145,129,121,117,101,87,113,165,192,207,100,99,98,95,96,95,96,97,96,108,111,138,211,195,171,167,158,149,133,111,115,120,108,101,93,92,111,137,101,99,96,95,96,95,96,96,98,101,116,198,195,167,161,149,132,124,111,109,106,119,120,104,104,97,93,91,99,96,95,94,94,92,94,98,89,123,177,178,159,153,138,121,112,103,105,107,87,121,119,127,109,101,96,92,97,95,94,93,94,93,95,88,105,207,179,151,146,131,111,105,97,91,103,90,79,128,123,139,116,107,96,88,94,91,87,88,89,89,93,69,180,223,175,145,117,106,101,94,83,93,93,65,85,133,126,137,120,109,95,89,154,150,148,143,138,136,127,137,222,201,161,123,95,85,83,78,83,92,67,49,100,130,125,143,129,120,102,98,135,132,131,130,129,129,124,207,203,175,133,101,81,77,74,59,64,56,40,37,100,124,126,157,151,133,113,99,127,127,127,128,128,116,155,205,167,139,106,86,74,78,65,40,35,28,31,28,87,125,133,165,153,134,127,94,132,132,132,134,129,133,207,180,135,100,89,78,76,77,62,33,24,26,30,25,65,114,144,171,128,132,132,87,133,135,134,136,120,180,206,147,106,77,74,78,83,84,84,69,32,28,31,34,33,110,177,147,107,125,119,79,134,136,139,127,149,197,153,112,78,101,89,81,87,91,88,89,61,56,60,51,55,172,169,121,102,106,92,80,132,136,133,136,197,156,111,76,96,147,108,110,105,99,95,86,78,75,77,56,143,185,140,106,92,87,78,80,135,135,123,187,176,113,78,82,131,119,102,108,109,101,97,90,80,80,59,91,202,164,119,88,82,75,77,81,134,135,130,168,129,82,85,126,133,121,125,110,95,86,88,82,76,80,73,159,206,165,96,76,74,72,79,77,132,135,135,134,123,118,131,133,135,135,133,126,118,103,113,112,109,124,126,205,204,171,95,63,69,86,83,76,132,133,134,134,135,136,133,133,133,133,134,136,136,137,137,136,137,137,129,208,209,171,105,64,101,92,83,81,130,132,134,133,132,132,132,132,134,134,134,135,134,134,134,133,134,135,126,182,193,160,95,112,160,106,100,97,128,131,132,132,133,133,132,132,133,133,134,135,135,134,135,134,135,137,130,149,167,122,95,132,166,135,108,109,129,130,132,132,132,132,132,133,133,133,133,134,135,134,134,135,135,135,134,135,139,114,115,129,155,182,134,121,128,130,130,132,132,132,132,131,132,133,133,134,135,135,134,135,135,135,134,134,134,135,137,132,132,194,167,148,128,130,131,133,132,131,131,131,132,133,133,133,134,134,134,134,136,135,134,135,134,134,136,138,123,186,193,166,130,129,131,132,130,130,132,131,132,133,131,131,132,132,132,133,134,134,134,134,135,134,136,138,121,172,206,178
4,90,103,116,123,129,133,137,140,142,145,148,151,153,155,158,159,162,162,164,166,166,167,167,167,167,168,168,169,91,106,118,125,130,134,138,141,144,147,150,152,154,157,158,161,159,161,165,166,168,169,169,169,170,170,170,170,93,108,119,125,131,136,140,143,145,147,150,154,149,152,164,166,142,132,157,157,153,166,170,171,172,172,172,171,95,110,120,127,133,136,141,145,146,146,157,177,156,138,161,176,135,96,124,141,105,122,170,173,173,173,174,174,97,112,122,128,133,137,142,146,154,158,143,157,174,136,126,162,122,84,89,122,99,83,157,176,174,175,176,176,98,114,123,130,134,138,143,147,176,173,148,127,134,121,100,134,110,77,90,123,97,72,153,177,176,176,177,177,100,115,124,130,135,139,142,158,186,181,159,131,92,90,91,145,120,75,122,126,85,73,164,177,177,178,179,178,102,116,125,131,136,140,143,171,164,156,152,113,79,72,84,147,126,114,145,113,67,88,175,179,178,180,181,180,105,117,126,132,137,141,146,180,150,141,140,90,67,76,68,109,134,159,147,125,89,107,181,180,180,181,181,181,108,119,126,133,138,142,152,187,158,150,130,89,58,100,116,133,147,148,133,136,118,113,173,182,181,182,182,182,110,120,125,133,140,142,162,182,146,128,117,89,50,119,140,134,131,116,131,151,136,116,130,179,182,185,185,184,112,120,127,135,139,142,173,174,138,112,96,67,46,66,99,103,98,82,129,158,155,136,105,142,184,185,187,187,112,122,128,135,141,146,191,178,145,122,101,78,58,54,64,73,96,128,138,156,161,143,114,99,166,187,187,187,115,122,128,136,141,153,201,176,151,132,102,82,69,81,109,136,164,177,165,157,145,136,121,95,137,189,188,188,117,123,129,137,141,162,207,182,163,135,103,93,84,117,159,178,187,183,164,148,127,114,112,93,143,189,189,189,118,123,129,137,140,172,208,185,160,127,107,103,101,152,180,190,192,185,160,136,113,97,94,105,174,189,190,190,118,123,130,138,141,177,207,181,152,128,120,111,125,170,181,188,189,174,148,125,105,89,88,148,190,190,191,190,119,123,130,138,141,178,203,177,155,143,136,126,148,173,180,183,177,157,135,114,97,83,114,184,191,192,193,193,120,124,131,138,142,175,198,181,171,160,146,141,163,172,177,171,158,143,121,105,90,91,167,193,192,193,194,195,120,125,132,139,142,166,198,188,179,162,144,139,158,165,164,153,139,127,109,95,86,136,191,193,192,194,195,195,121,126,133,140,143,158,194,183,173,158,138,127,141,150,150,140,125,113,99,86,109,181,193,193,193,194,195,195,121,127,134,141,146,155,190,174,161,149,132,125,134,144,142,128,111,102,89,91,162,193,193,194,195,196,196,196,121,127,135,141,146,152,183,164,150,140,129,132,130,137,138,121,105,93,81,140,190,193,194,195,196,196,197,197,122,127,135,141,146,162,182,164,153,146,146,146,129,123,126,111,96,83,109,182,193,194,196,196,197,197,197,197,122,128,136,141,154,189,173,157,157,152,148,139,123,113,115,103,90,81,155,192,193,195,196,196,197,197,197,198,123,129,136,143,183,194,186,132,133,151,141,128,117,104,103,96,85,79,172,192,194,195,196,196,197,198,198,199,123,130,136,159,197,191,191,170,101,119,127,118,109,93,95,90,80,80,176,192,194,195,197,197,197,199,199,200,124,130,139,187,192,190,190,191,147,80,100,111,100,82,88,85,77,79,175,194,195,195,197,199,199,200,200,201
2,220,220,219,219,219,219,219,219,217,216,217,217,216,214,212,212,211,209,211,209,208,206,206,207,205,202,200,199,221,221,221,221,221,221,221,221,221,219,219,219,219,218,216,216,214,211,213,211,210,208,207,207,205,203,202,202,222,222,223,223,223,222,222,221,222,222,220,221,221,219,217,211,208,212,212,215,216,214,210,207,207,204,204,203,223,224,226,225,224,224,225,223,224,224,222,223,219,226,225,207,197,198,192,188,194,204,217,210,209,207,206,206,225,227,226,226,226,227,227,227,226,226,224,220,236,242,225,215,209,197,190,169,158,131,154,220,211,209,209,206,227,228,227,226,228,229,228,227,227,226,224,236,248,241,235,234,234,209,195,192,155,149,111,174,215,213,208,207,228,229,229,228,229,229,229,229,229,225,232,246,244,249,171,147,183,139,131,194,186,173,146,124,134,192,212,208,231,231,231,231,231,230,231,232,230,227,242,247,229,201,131,81,89,87,86,124,152,133,99,98,89,185,218,208,233,233,233,233,234,234,233,231,234,246,255,203,139,116,97,85,81,90,202,188,198,173,128,110,151,218,213,212,235,237,236,235,235,236,234,236,255,255,245,182,129,96,73,75,77,151,236,227,228,228,223,213,220,216,214,213,235,237,238,237,237,237,234,251,255,255,218,170,136,111,92,73,138,225,224,224,224,221,222,224,219,218,215,215,239,239,239,239,238,229,247,255,255,220,166,131,116,99,82,143,239,227,228,228,224,224,222,223,222,218,216,214,240,241,241,241,232,246,255,255,240,217,158,94,88,94,86,209,235,227,229,228,227,226,223,223,222,219,218,215,242,242,243,233,247,255,255,246,222,217,157,110,92,78,136,241,230,231,231,230,230,229,226,223,223,222,219,217,243,246,237,247,255,255,252,234,236,188,136,107,83,69,213,242,234,231,232,232,230,228,227,226,226,224,219,218,248,244,241,255,255,255,243,246,218,165,134,92,82,70,187,251,233,234,235,233,232,230,234,229,214,217,227,219,248,241,255,255,255,255,242,229,194,158,119,72,78,80,95,223,239,236,235,233,233,236,211,182,178,157,195,227,242,255,255,255,255,247,233,219,187,136,96,73,82,85,77,138,252,233,240,242,240,188,156,179,188,125,170,230,254,255,255,255,252,242,223,205,165,116,88,88,99,100,96,93,209,252,226,184,144,144,173,182,128,162,228,221,255,255,255,255,241,224,209,188,141,110,92,106,117,117,113,97,105,164,125,127,116,144,171,124,136,238,226,225,168,255,255,248,235,212,200,170,137,111,100,119,123,122,113,108,96,108,112,136,146,142,131,79,212,233,228,228,83,112,197,217,207,201,183,168,132,99,104,125,120,118,114,108,105,121,129,134,138,114,78,128,239,229,229,228,94,84,83,139,163,150,142,119,94,92,99,115,113,113,108,107,112,119,121,110,99,121,178,230,235,233,231,229,82,89,83,78,92,96,86,72,79,86,86,101,107,105,92,91,84,84,106,152,201,239,247,239,237,236,233,231,83,81,79,86,80,54,61,69,65,66,72,82,75,70,97,121,132,176,230,251,250,244,239,238,237,235,233,231,81,76,78,74,87,59,31,47,45,44,63,79,109,171,232,252,255,255,250,244,243,243,241,240,239,236,234,233,79,76,75,71,85,78,27,34,41,29,84,228,255,255,255,252,249,247,248,247,246,246,244,242,240,238,236,234,74,71,69,66,76,79,29,28,34,33,26,75,237,255,251,254,253,252,252,250,249,247,246,244,240,240,237,234
0,159,160,162,163,164,166,165,164,164,164,164,163,164,163,162,162,161,161,160,160,158,158,157,155,156,154,153,152,160,161,163,165,166,168,168,167,166,166,166,165,166,164,164,163,162,161,160,161,161,159,159,157,157,155,154,154,161,162,163,166,167,168,168,168,168,167,167,167,168,166,164,163,161,164,163,161,161,159,159,157,156,156,155,156,163,164,166,166,168,170,169,170,169,168,168,167,165,168,165,180,162,138,159,165,162,163,160,159,158,157,156,156,164,165,166,168,168,169,170,171,171,171,169,167,178,163,165,207,169,130,105,148,135,145,165,157,159,158,157,156,165,167,168,169,169,170,170,173,171,170,167,182,201,173,169,209,174,132,100,159,133,95,128,104,139,164,159,158,166,168,170,170,171,172,173,171,173,184,153,192,201,177,167,214,185,120,149,185,128,72,95,79,135,166,159,159,167,170,172,171,173,174,176,167,193,217,170,188,210,174,150,208,190,121,121,162,113,69,102,83,150,164,160,160,170,171,173,174,174,175,175,171,202,232,199,163,219,181,128,174,169,116,84,136,94,92,131,81,146,165,159,162,171,172,173,173,174,177,173,183,192,218,213,144,192,168,106,133,153,113,81,133,88,132,152,85,130,170,160,162,173,174,174,175,175,177,173,191,183,184,181,126,159,150,92,86,157,106,75,143,97,165,160,89,134,171,162,163,172,175,175,176,176,178,172,201,200,171,165,108,134,152,88,65,163,117,79,86,143,186,146,83,146,170,163,163,173,175,175,176,178,177,180,209,171,135,160,125,104,168,99,73,148,169,169,108,156,178,125,82,159,168,166,164,175,176,176,177,177,177,189,218,183,141,124,132,103,152,109,127,184,192,175,151,123,143,113,92,170,167,167,164,174,177,178,179,180,178,191,221,188,158,132,124,161,166,181,195,191,179,155,139,124,104,100,96,172,167,167,165,176,179,181,181,183,177,202,227,195,176,162,146,167,198,206,206,192,172,150,131,116,94,81,103,175,167,167,167,176,180,181,182,183,178,210,227,201,189,172,156,181,209,216,218,194,168,150,127,106,88,76,145,175,170,169,168,178,181,181,182,185,180,212,222,201,184,167,160,185,211,220,217,195,167,141,117,98,77,102,177,172,170,169,168,177,179,181,181,185,179,209,223,204,185,166,157,182,206,209,201,187,161,131,105,88,77,152,177,171,170,170,168,177,178,182,182,184,179,195,220,200,184,172,161,184,197,190,177,159,140,121,98,80,139,179,172,171,171,170,168,177,179,182,182,185,181,193,208,186,188,181,163,181,191,177,154,133,125,107,89,143,180,174,174,173,172,170,168,181,181,184,183,186,183,193,207,189,190,178,163,175,188,167,135,116,109,88,143,182,175,177,175,173,172,170,169,180,181,182,184,185,183,199,222,206,183,168,166,164,175,148,114,105,86,135,184,177,176,178,177,174,173,172,169,180,182,183,181,193,177,174,238,214,182,169,170,153,162,130,102,86,116,184,178,179,177,177,176,175,175,175,169,178,181,184,179,202,241,159,184,205,176,170,161,147,151,111,85,75,161,183,177,177,178,174,175,175,170,157,147,182,184,187,181,207,246,228,123,217,203,190,177,157,147,113,85,79,172,184,185,181,172,178,181,161,139,144,138,133,135,133,126,224,241,246,130,133,218,200,185,161,141,122,111,98,111,123,115,119,165,186,174,154,101,165,150,86,87,74,117,246,237,246,151,85,211,189,172,150,133,117,104,100,92,72,90,165,195,174,151,163,91,137,166
14,225,226,228,227,228,231,232,227,237,255,245,209,179,146,208,233,233,236,230,231,232,232,231,231,230,229,228,228,226,228,230,231,230,232,227,240,255,242,182,157,143,133,158,209,210,209,234,232,232,232,232,231,231,231,230,229,228,230,232,232,232,227,253,255,254,197,135,135,132,135,167,193,175,147,234,234,234,236,236,234,233,233,232,231,229,232,233,233,230,239,255,255,196,151,133,140,127,112,136,157,136,176,246,233,235,237,235,235,236,235,233,232,232,234,234,237,227,255,255,236,144,116,113,121,127,140,135,146,159,176,215,239,237,237,238,237,238,236,235,234,232,234,235,239,231,255,255,228,145,114,108,113,130,149,123,133,190,200,158,191,246,236,240,241,238,237,237,236,232,234,237,239,237,255,255,204,138,121,129,109,111,122,118,117,142,159,129,211,253,240,240,241,241,240,239,238,234,236,239,237,245,255,255,198,130,122,140,119,125,142,152,152,136,142,135,176,201,241,243,241,242,242,241,240,237,238,241,235,255,255,255,225,161,128,126,126,136,128,135,128,137,154,158,157,141,208,245,243,243,243,241,241,238,241,243,235,255,255,255,226,174,141,113,139,143,130,165,193,236,219,189,169,201,182,225,250,244,243,244,244,240,243,242,239,255,255,255,224,169,146,123,139,127,214,255,252,248,253,251,208,220,179,231,252,245,246,245,245,242,243,243,244,255,255,255,233,179,143,129,122,137,245,249,248,249,254,227,193,214,174,241,250,247,246,246,247,244,246,244,251,255,255,255,241,191,147,127,118,212,255,249,251,250,255,218,194,212,167,239,253,249,248,247,248,245,248,245,252,255,255,255,247,196,156,117,138,255,251,253,252,250,255,211,185,211,161,210,255,250,250,250,249,246,249,249,254,255,255,255,249,203,166,114,176,255,250,254,253,255,252,194,184,200,171,182,255,251,251,253,251,247,250,250,255,255,255,255,252,207,167,118,182,255,255,255,255,255,191,186,208,200,162,203,255,252,253,253,252,249,250,247,255,255,255,255,253,206,171,147,112,149,185,187,216,203,165,193,198,184,178,255,255,254,253,252,252,249,250,249,255,255,255,255,249,208,184,164,123,122,131,142,155,161,174,190,192,164,231,255,254,255,254,253,253,251,252,249,255,255,255,255,245,219,201,175,134,135,150,161,173,176,171,182,168,202,255,255,255,255,255,255,255,253,255,250,255,255,255,255,252,232,211,179,147,140,162,166,171,176,173,159,168,255,255,255,255,255,255,255,255,253,255,252,255,255,255,255,255,242,212,178,157,144,161,169,169,174,172,146,228,255,255,255,255,255,255,255,255,254,255,253,255,255,255,255,255,247,211,177,158,147,156,169,164,171,153,211,255,255,255,255,255,255,255,255,255,253,255,251,255,255,255,255,255,242,197,157,148,143,153,163,166,156,176,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,224,162,136,139,137,149,157,162,150,244,255,255,255,255,255,255,255,255,255,255,231,214,204,214,195,188,170,151,134,111,103,114,132,147,150,144,217,255,255,255,255,255,255,255,255,255,255,255,145,134,122,113,106,100,91,87,88,83,72,72,85,114,136,210,255,255,255,255,255,255,255,255,255,255,255,255,139,134,123,118,114,108,96,93,92,82,72,71,69,63,96,255,255,255,255,255,255,255,255,255,255,255,255,255,138,131,122,115,108,103,94,91,87,79,70,67,71,64,101,255,255,255,255,255,255,255,255,255,255,255,255,255
15,86,83,81,81,83,85,85,86,89,98,110,122,130,139,145,149,151,154,158,164,169,172,176,179,180,183,186,187,86,82,81,82,82,84,86,87,90,100,111,123,131,140,146,151,151,155,159,165,169,173,177,180,181,184,187,189,86,83,82,81,82,84,87,87,90,100,112,123,131,140,146,151,152,155,160,165,170,174,178,181,183,186,188,190,86,83,82,81,83,84,86,87,90,101,114,123,132,141,147,151,153,156,161,166,171,176,180,182,185,187,189,191,86,83,82,82,82,93,113,100,96,103,114,124,133,141,149,152,154,156,161,167,172,176,180,183,186,187,189,192,86,84,84,82,79,153,158,130,123,119,116,120,131,139,141,142,149,155,163,168,173,176,180,184,186,188,190,193,87,85,84,82,81,148,141,120,119,116,107,118,122,124,121,118,122,129,141,156,169,177,182,185,187,188,191,194,87,85,83,83,81,99,107,94,97,92,89,111,107,107,104,115,125,120,120,125,135,145,156,171,187,191,193,194,87,84,83,82,83,84,85,84,87,84,87,95,91,90,91,116,122,119,119,125,129,124,110,112,140,189,194,195,87,85,83,81,83,85,85,86,92,102,112,114,115,112,105,111,108,105,103,120,138,132,116,111,94,139,195,196,88,85,82,81,82,83,84,85,92,105,116,128,136,143,146,134,108,97,119,140,145,138,118,122,110,88,155,200,87,84,81,81,82,83,84,84,92,105,118,128,140,155,153,135,121,124,171,144,145,130,135,139,124,102,94,170,87,83,81,81,82,83,84,85,92,105,116,135,175,161,131,114,111,109,162,123,115,137,163,135,146,128,91,94,86,83,80,80,80,81,82,83,91,105,113,159,188,133,109,111,112,92,112,95,92,176,145,129,157,143,107,75,85,82,80,79,79,80,81,82,90,105,112,154,168,113,109,127,132,123,103,84,101,159,109,118,158,150,117,84,85,82,80,78,78,79,80,81,92,106,113,144,154,101,116,135,144,134,106,94,102,112,107,126,144,136,112,85,83,81,79,78,78,79,80,81,92,105,112,151,184,123,117,135,145,131,99,92,101,105,116,126,118,100,91,80,82,81,79,78,77,79,80,81,91,104,112,155,172,179,147,118,110,97,85,92,100,103,111,119,111,83,75,75,82,81,78,77,76,78,79,80,89,104,113,182,175,169,172,134,96,62,61,84,99,108,117,126,111,81,74,74,81,78,76,76,75,77,78,79,88,103,114,149,164,175,168,152,125,77,35,42,66,111,117,117,98,79,77,78,78,75,73,72,72,73,74,76,86,99,112,123,135,153,147,145,127,111,61,41,56,106,125,111,94,87,88,88,118,114,111,108,105,101,100,101,107,114,120,127,135,139,126,119,130,151,102,52,67,84,121,131,119,108,99,93,123,120,118,117,116,116,119,119,116,115,113,112,117,120,121,119,126,170,122,77,84,77,92,108,108,100,91,84,113,112,111,110,109,111,112,111,111,111,106,103,106,109,111,112,108,127,110,110,112,107,106,98,88,85,81,76,115,115,116,114,114,115,116,116,115,116,115,114,116,117,117,117,118,117,117,118,120,120,127,126,104,86,79,76,116,118,119,118,117,116,117,117,117,118,118,118,118,118,116,118,119,119,119,120,117,117,128,139,128,106,90,95,117,119,119,119,118,117,118,119,119,119,119,119,119,118,117,118,119,119,119,119,118,117,116,129,163,124,120,126,117,118,118,117,117,117,118,118,118,118,118,118,119,118,118,119,121,120,119,119,118,118,117,122,197,187,165,156
13,157,160,162,163,165,165,167,169,170,168,168,169,170,171,173,171,170,173,171,171,171,171,171,172,171,171,171,171,159,161,163,165,168,169,171,170,170,171,171,170,171,172,165,172,177,172,172,173,173,173,175,174,174,174,173,172,162,164,166,167,168,170,171,170,172,174,179,175,179,172,125,89,158,180,173,173,175,176,176,176,177,177,175,175,162,165,169,169,171,172,173,173,174,171,153,159,191,177,131,50,119,193,177,183,177,179,179,178,178,179,178,178,163,167,169,170,172,175,176,172,192,174,117,92,159,175,130,58,98,119,103,143,184,179,179,178,177,178,179,178,165,168,170,172,174,176,176,170,202,194,141,88,151,179,117,53,75,134,83,40,160,188,181,181,179,180,180,180,167,168,171,174,175,174,180,144,99,138,163,93,143,176,107,46,146,158,99,35,116,197,182,183,183,184,183,183,169,171,173,176,174,184,190,144,101,66,146,91,134,198,106,77,166,132,92,37,121,196,182,185,185,186,186,185,171,175,177,175,185,185,183,164,122,66,116,107,101,165,90,81,173,138,85,30,146,195,184,186,188,187,186,186,173,177,178,178,191,152,163,172,118,65,80,125,55,22,27,91,187,144,67,38,169,191,186,187,187,188,187,186,174,176,176,184,191,158,135,158,122,60,59,117,70,0,36,130,136,80,31,58,189,189,188,189,187,188,189,188,177,178,179,196,186,153,113,162,117,62,53,96,75,3,29,141,155,111,56,105,205,188,192,191,190,189,190,189,177,178,180,203,188,154,103,149,111,62,45,96,84,46,144,143,139,132,103,76,189,192,192,192,191,190,191,191,178,179,183,204,179,145,98,121,115,71,44,141,111,108,185,159,130,102,85,49,148,203,192,194,192,192,192,192,179,179,185,203,180,154,130,104,109,107,27,122,141,173,174,152,126,86,68,52,162,200,193,195,194,193,193,192,179,180,189,203,182,160,142,111,81,67,41,147,186,193,170,140,115,81,61,65,189,196,194,196,196,194,194,194,180,180,190,203,183,159,143,135,97,83,107,190,191,192,160,128,102,74,53,92,204,194,197,196,197,195,194,195,181,181,188,197,184,164,150,145,110,97,102,178,192,178,138,110,88,66,49,149,207,197,200,197,197,196,196,196,182,182,184,188,185,168,154,148,122,95,103,180,189,160,126,99,79,54,90,202,200,201,200,198,198,198,198,198,181,182,183,188,188,170,154,148,127,98,118,165,178,141,118,88,72,46,155,208,197,200,199,199,199,199,198,198,180,183,184,188,189,172,153,143,126,97,125,156,148,122,106,81,61,68,194,198,198,199,199,198,199,199,198,198,180,183,182,190,188,162,147,133,108,96,134,137,120,110,91,75,49,129,208,197,198,198,198,198,199,198,197,198,181,184,176,192,180,152,144,118,101,104,136,122,110,102,82,62,80,193,199,198,198,199,200,199,199,199,199,199,180,180,176,203,173,156,145,118,113,122,139,116,107,87,72,58,164,203,197,200,199,199,200,200,200,199,199,199,181,176,184,207,176,168,148,118,124,137,123,104,94,71,50,119,202,197,198,199,199,200,200,200,201,200,199,199,182,174,186,192,171,173,153,127,134,130,110,91,76,57,65,187,200,198,198,198,198,200,201,201,201,200,199,199,185,169,185,177,157,158,145,123,122,124,99,73,70,41,128,204,198,200,198,199,199,200,201,201,201,201,201,201,125,144,190,169,148,130,122,110,120,130,84,69,64,47,156,192,190,195,197,198,199,200,202,202,200,203,199,190
6,154,157,161,163,167,170,172,175,177,179,181,180,182,184,185,186,187,186,187,187,187,188,188,187,186,187,185,184,154,159,163,165,168,170,173,176,178,179,181,182,183,185,186,186,186,187,188,188,188,188,188,188,187,188,187,186,155,158,162,165,168,171,173,176,178,179,182,183,184,185,186,188,187,188,188,189,189,188,188,189,188,188,187,186,156,159,163,166,170,173,177,178,179,180,182,184,186,186,187,188,188,189,190,190,189,190,191,189,188,187,188,188,156,161,164,168,171,173,176,178,179,181,182,185,186,188,187,188,190,192,192,191,191,191,191,190,191,189,190,190,157,160,165,169,172,175,176,179,181,181,182,186,188,189,188,189,192,191,193,193,192,193,194,194,194,191,190,190,158,162,165,169,171,174,177,179,181,180,182,181,184,186,183,184,185,190,189,183,183,172,170,181,188,192,192,191,159,163,167,167,174,187,191,179,181,188,192,194,198,201,188,192,192,207,203,190,186,168,154,174,177,161,194,191,158,159,161,181,202,208,200,178,163,171,194,200,202,199,187,183,193,189,186,185,175,162,153,162,155,147,196,191,154,168,193,210,207,204,198,185,146,121,142,149,152,154,154,153,146,141,146,145,143,143,150,157,162,186,194,191,186,211,209,199,199,207,210,189,146,106,96,90,92,114,126,137,159,178,184,186,188,191,194,194,195,194,192,192,212,205,199,203,208,207,188,149,132,112,104,105,95,105,170,199,197,195,195,196,196,195,194,193,193,192,193,193,208,204,205,203,203,193,177,153,125,108,102,112,116,105,111,139,195,196,195,196,195,195,195,195,195,194,193,193,208,208,206,203,204,204,210,183,126,110,95,96,114,118,117,88,119,197,195,195,196,196,195,195,194,195,194,193,203,205,203,201,204,213,209,166,126,114,115,111,104,104,117,115,83,131,203,195,197,196,195,195,194,195,193,192,201,202,199,197,207,214,182,146,128,121,118,121,118,94,92,98,100,103,197,197,197,195,196,194,195,196,194,193,193,193,190,191,199,200,177,145,119,109,118,127,136,115,101,92,88,132,196,193,193,192,191,191,191,191,190,191,194,195,193,190,196,198,188,150,115,93,91,104,140,136,119,103,95,118,129,126,124,124,122,123,121,120,119,118,197,198,200,198,204,203,186,139,114,118,113,109,100,111,120,113,110,99,94,96,97,97,96,93,93,93,91,90,196,194,191,191,202,194,172,136,121,125,123,119,111,102,98,105,107,104,104,105,105,105,104,102,102,102,101,99,186,179,173,180,186,175,160,140,130,129,127,117,108,103,104,109,110,109,106,103,103,102,102,103,102,100,100,98,172,167,162,172,171,156,141,131,121,115,122,119,117,114,110,110,109,110,105,106,104,103,103,103,103,102,102,101,156,154,146,143,138,126,114,108,105,97,100,106,111,112,108,106,107,106,105,104,103,102,102,103,102,101,101,102,134,125,115,109,109,109,111,110,109,110,109,107,109,109,108,108,107,107,106,106,103,103,103,103,102,101,101,96,102,106,108,108,110,111,111,112,110,110,111,110,110,109,108,108,106,106,106,106,103,103,103,102,102,101,94,116,106,110,111,111,111,110,110,110,110,110,109,108,109,108,108,106,105,105,105,104,103,102,103,103,105,94,104,194,110,111,111,112,112,110,110,110,110,110,109,109,109,108,108,106,106,105,105,105,104,104,104,106,104,92,180,198,111,110,111,111,110,110,109,108,109,108,108,109,109,108,108,107,106,104,105,105,104,104,103,110,95,153,208,172
4,194,194,194,195,194,193,193,192,192,191,191,190,190,189,190,189,184,184,183,183,183,183,182,182,180,177,177,176,195,195,195,196,196,194,194,195,194,195,194,193,191,188,179,180,191,186,185,184,184,183,182,183,180,178,177,176,197,197,196,196,196,196,195,195,193,178,168,179,190,185,156,130,152,194,187,185,189,184,183,182,181,180,178,177,198,199,197,196,196,197,196,197,196,186,178,158,150,155,172,154,121,157,163,140,148,184,185,183,182,182,180,178,199,198,198,198,197,198,197,192,193,188,186,183,159,126,126,159,148,117,115,130,100,147,193,182,183,182,181,180,200,199,198,199,199,198,189,180,180,168,133,134,166,125,93,138,145,118,93,124,113,112,189,184,183,182,180,179,200,200,200,200,200,199,197,198,184,169,135,100,145,128,92,117,131,103,98,134,125,100,176,187,182,182,181,180,201,201,200,201,200,201,180,161,149,177,144,106,127,147,123,115,124,91,106,137,122,100,177,188,183,182,181,180,202,202,201,202,200,203,189,146,101,145,173,134,133,156,167,150,129,125,123,131,140,112,177,188,184,183,182,181,202,203,202,203,201,203,188,148,93,80,170,150,123,136,158,161,129,135,134,130,146,105,145,195,184,184,183,182,203,204,204,203,202,202,169,133,119,111,106,121,106,102,105,139,135,129,128,128,124,109,112,192,186,185,184,184,205,204,204,204,202,200,180,170,149,124,97,92,106,101,99,102,125,130,121,115,125,126,96,174,190,186,184,183,204,205,204,204,204,201,185,173,144,117,97,99,103,107,120,108,95,90,118,140,149,136,98,144,196,185,184,182,205,205,206,205,205,201,192,164,133,110,97,98,107,124,124,123,118,122,139,162,154,140,116,115,194,185,185,183,205,206,206,206,203,203,184,158,134,109,98,106,115,126,135,134,151,173,164,144,173,162,134,100,179,190,186,185,206,206,206,207,204,203,192,173,147,119,104,108,114,137,148,150,161,174,182,170,162,162,136,91,164,193,186,185,207,207,207,207,206,202,192,174,152,124,102,105,123,141,152,164,168,180,178,170,157,138,123,89,170,193,186,185,207,207,207,207,208,199,190,182,162,136,112,108,114,140,159,170,179,184,175,159,148,129,99,105,193,189,187,185,207,207,207,207,207,196,185,186,169,146,126,111,108,144,169,178,188,185,171,152,139,121,83,151,197,187,187,186,207,207,207,207,207,195,181,184,170,149,132,118,112,143,177,181,185,177,161,144,130,106,96,192,191,190,188,187,207,207,208,208,209,195,179,176,169,155,137,123,120,146,182,177,174,168,151,135,123,89,141,202,189,190,188,186,207,208,209,208,210,196,177,175,175,162,140,133,126,150,177,173,168,156,141,128,110,92,185,196,192,189,189,187,208,208,209,209,209,202,180,178,177,165,146,140,126,153,171,168,164,147,128,119,86,131,204,193,193,190,189,188,209,210,209,209,210,209,187,181,183,169,153,140,124,146,168,161,154,136,119,102,90,188,197,194,194,190,190,189,209,210,209,209,209,209,192,190,184,167,157,143,127,136,155,149,137,120,109,79,157,205,195,194,193,192,190,188,210,210,210,210,211,207,198,193,180,169,159,146,132,131,141,136,121,110,82,122,204,196,196,194,193,192,190,189,210,210,210,210,211,208,199,192,178,166,156,146,139,131,131,129,115,96,87,191,200,196,195,194,192,192,191,189,210,210,210,210,211,203,197,188,179,172,167,159,152,137,127,124,110,82,137,208,198,198,195,194,193,192,190,189
10,46,47,49,52,54,67,87,102,125,124,116,138,143,149,154,158,163,167,169,172,176,177,179,180,180,181,183,183,46,47,49,52,54,69,88,102,141,129,85,125,149,151,156,161,165,169,172,176,178,180,181,183,183,184,185,185,46,47,50,52,55,71,90,108,130,135,96,77,138,157,158,163,167,171,175,179,181,182,184,186,186,187,187,187,47,47,50,53,56,74,94,111,122,129,103,74,79,157,162,165,170,174,176,181,183,186,187,188,188,189,190,190,47,48,51,53,57,77,97,113,124,130,109,86,62,113,169,169,172,175,180,183,187,189,190,191,191,191,192,192,47,48,51,52,58,79,99,115,127,132,129,104,83,63,147,173,174,179,184,187,189,191,193,193,193,193,195,194,47,48,51,53,59,82,101,117,127,132,144,129,93,68,84,175,178,182,187,189,191,194,194,195,195,195,196,196,47,49,51,52,66,85,105,119,140,103,127,151,119,99,63,149,185,184,188,191,193,194,195,196,197,198,199,199,47,49,49,95,115,71,90,125,150,88,74,156,147,114,76,102,187,186,189,192,194,195,197,198,199,200,201,200,47,49,47,104,104,53,43,76,113,90,50,113,164,117,85,63,169,189,190,193,195,198,200,200,201,202,202,202,47,49,50,60,74,54,43,41,51,84,69,57,144,124,85,60,116,196,192,195,197,200,202,203,203,203,203,204,47,49,52,52,70,73,50,44,43,85,93,70,67,121,100,94,63,172,196,197,198,201,203,203,203,204,204,205,47,48,52,53,72,95,98,73,52,78,110,88,55,59,79,98,62,112,200,199,201,202,203,205,205,206,207,207,46,48,51,54,74,96,117,130,108,67,112,111,83,48,49,70,64,62,183,201,203,203,204,206,207,208,208,208,46,46,49,54,75,96,113,143,148,80,58,138,117,79,46,42,53,49,159,205,202,204,204,206,207,207,208,209,45,46,48,54,76,102,123,148,156,115,30,116,150,109,75,50,48,44,141,204,201,202,203,205,206,207,208,209,45,45,47,53,75,125,145,140,171,138,55,63,170,129,102,71,46,40,124,206,202,203,204,206,206,208,208,209,43,44,45,53,75,115,157,133,161,146,89,94,170,142,120,83,47,39,110,206,203,204,207,207,208,209,209,210,45,44,44,53,76,97,139,136,134,143,111,129,161,126,117,78,53,46,101,207,204,204,207,208,209,209,210,211,83,80,81,83,90,95,114,138,135,156,126,117,159,117,112,80,57,49,89,199,201,204,206,208,211,212,213,215,77,79,82,84,84,80,87,140,144,154,162,113,143,125,114,87,60,51,66,119,124,127,131,135,139,143,148,152,81,81,82,86,88,89,86,143,170,147,169,121,82,123,113,90,65,55,55,92,100,101,102,100,100,100,99,100,81,82,83,86,88,89,87,114,174,160,150,135,80,103,108,88,67,56,52,90,106,103,104,105,106,106,107,107,80,82,84,86,88,89,90,95,159,168,162,167,155,118,100,82,66,55,53,84,105,103,102,105,105,105,107,107,80,82,84,85,87,89,90,88,125,162,166,162,169,142,98,73,66,59,55,82,104,104,103,104,104,104,106,106,79,80,82,84,86,88,89,90,94,146,167,158,155,149,104,73,72,66,56,81,103,103,103,104,103,104,105,106,78,79,81,84,87,87,90,91,90,111,158,155,142,132,114,93,88,73,54,73,102,103,103,107,103,103,104,103,77,79,80,82,85,87,88,90,91,89,134,144,132,118,118,115,105,84,59,61,97,102,103,103,103,104,102,131
10,113,120,131,136,140,145,148,150,153,156,157,159,161,162,163,165,167,169,169,170,171,172,174,174,175,176,177,178,113,121,133,138,141,145,148,150,154,156,158,160,161,163,166,166,163,164,172,171,173,175,175,175,177,178,180,180,115,124,135,140,142,147,149,151,155,158,159,160,162,165,165,174,164,131,172,173,175,176,178,178,179,181,181,182,117,125,135,140,143,147,151,154,156,158,160,162,164,167,165,183,172,119,162,177,176,178,179,180,181,181,182,183,117,127,136,141,144,148,151,155,157,159,160,163,166,167,165,184,176,124,152,180,176,180,181,181,182,182,183,184,118,128,137,140,144,149,153,155,157,159,161,161,165,170,167,178,181,137,142,183,177,179,181,182,183,183,184,184,120,130,139,141,146,150,154,155,157,159,161,165,171,147,166,180,191,152,130,183,179,180,181,183,184,183,184,186,121,132,140,143,147,151,153,156,159,159,161,167,179,125,131,185,189,163,123,176,182,182,183,183,184,186,187,187,122,133,140,143,147,152,153,159,163,165,165,178,166,130,106,180,180,160,120,171,185,184,183,183,185,186,186,186,124,134,141,144,147,153,166,141,133,130,138,172,177,150,107,160,178,150,116,161,187,184,185,185,187,187,188,188,125,135,141,144,147,157,157,123,100,96,94,114,179,164,109,132,168,137,117,151,189,183,186,187,187,189,189,189,126,137,141,146,150,155,150,130,106,95,115,102,153,176,122,126,150,122,117,139,192,184,187,188,188,190,190,190,127,136,142,146,150,154,160,160,157,140,116,94,144,183,136,115,122,109,117,128,191,184,188,189,189,190,190,189,127,137,141,146,151,155,158,156,186,179,115,89,166,185,147,101,96,108,118,121,188,187,188,189,190,190,190,190,127,137,141,146,150,153,156,156,187,173,122,79,180,187,153,110,90,110,121,109,178,190,189,190,191,190,190,190,129,138,142,146,152,152,174,174,184,182,122,72,196,187,151,115,91,106,118,101,167,194,189,190,191,192,192,192,130,139,142,146,153,149,187,185,177,176,111,119,201,177,148,111,91,99,113,92,157,196,188,190,191,192,193,193,131,138,142,148,152,152,170,186,173,168,134,198,188,170,153,114,95,99,103,94,176,192,189,190,192,193,193,193,132,138,142,148,152,156,160,167,149,169,181,212,187,165,149,119,98,100,92,117,195,187,190,191,192,193,193,194,133,138,143,148,153,157,160,170,148,185,208,205,185,161,143,119,100,97,85,152,195,187,190,191,192,194,194,194,133,138,143,147,152,157,158,186,174,160,205,200,181,159,141,121,102,91,93,182,190,190,190,191,193,194,194,193,133,139,143,148,152,156,159,196,186,154,200,197,182,158,139,122,105,85,121,196,187,189,191,193,193,194,194,194,134,139,143,148,151,155,162,203,193,176,205,193,181,160,141,124,103,82,161,194,187,191,192,193,193,193,194,195,133,139,143,148,153,155,165,209,197,185,199,194,189,163,141,125,96,98,189,188,189,192,192,193,194,194,194,195,134,139,144,150,153,156,165,207,192,190,195,192,195,168,138,125,90,128,196,186,190,190,191,193,194,195,195,196,135,139,143,149,153,155,165,201,184,186,193,192,195,171,139,120,86,161,193,187,191,191,193,193,194,195,195,196,135,139,144,150,153,156,163,184,184,196,195,191,191,166,136,109,107,189,188,189,190,192,192,193,194,195,195,196,134,139,144,150,152,157,159,190,197,201,194,185,186,161,134,99,135,194,186,189,190,192,193,194,195,194,195,196
21,19,56,71,78,86,98,113,122,130,135,139,142,145,147,150,154,157,158,160,161,163,165,166,166,167,168,168,167,24,59,72,79,87,100,114,124,131,136,139,142,146,153,151,129,155,160,162,163,165,166,167,168,169,169,170,169,29,63,73,81,88,103,116,126,132,137,141,145,146,168,154,96,146,163,164,165,166,168,170,171,171,171,171,171,36,66,75,82,90,105,118,127,133,138,143,146,147,172,155,99,141,165,166,167,167,169,171,172,172,173,173,173,43,68,75,83,92,107,120,128,134,139,144,147,148,172,154,102,136,166,167,169,170,172,174,174,171,174,176,176,48,70,76,84,94,109,121,130,136,141,146,149,149,173,159,109,132,169,168,170,172,174,176,170,135,145,179,178,55,71,78,86,96,112,122,132,138,142,147,150,151,171,161,116,123,171,171,172,174,176,177,154,109,132,181,179,60,72,79,87,98,113,124,133,139,145,149,150,153,171,162,119,112,170,172,174,176,180,172,136,107,164,181,180,64,73,81,88,99,115,125,133,140,146,149,151,154,177,171,122,108,170,172,175,177,181,159,118,132,181,182,182,67,74,82,89,101,118,127,135,141,146,150,153,156,181,176,130,114,171,174,177,178,167,138,112,169,184,183,183,70,76,82,90,103,118,128,136,142,147,151,155,153,170,161,124,110,169,174,179,178,156,113,135,185,184,184,184,71,77,83,91,104,119,129,136,142,148,154,177,151,136,133,106,105,168,175,179,175,141,109,170,186,185,185,185,72,77,85,93,106,121,129,137,144,148,161,183,143,106,97,87,105,156,167,171,159,111,138,186,186,187,187,186,73,78,86,93,107,122,131,138,145,153,178,155,127,101,75,80,106,142,155,150,123,107,176,186,187,187,187,187,73,79,86,93,109,123,132,139,145,178,190,171,142,120,80,72,94,121,134,121,95,144,189,187,188,188,188,188,74,79,87,95,111,123,132,139,149,185,185,197,176,139,91,71,88,103,116,103,105,181,189,188,188,189,189,189,74,80,88,97,112,123,132,138,161,167,169,186,175,123,88,76,80,92,98,89,142,190,189,189,190,190,190,190,75,81,89,98,115,125,135,140,176,171,145,124,145,119,93,79,77,82,84,86,168,190,190,190,190,190,190,191,76,82,89,98,114,125,135,143,178,149,119,106,136,133,102,82,77,76,79,87,174,190,191,192,192,193,192,192,77,83,89,99,115,126,135,149,187,157,145,131,136,153,114,93,83,76,74,89,176,192,192,192,193,194,193,193,77,84,90,100,116,127,135,156,188,168,150,134,183,181,128,112,89,74,74,96,182,192,192,192,193,193,193,194,77,84,91,102,117,127,135,160,197,176,145,156,206,175,131,115,91,74,73,106,187,192,193,193,193,193,194,194,78,85,92,103,117,127,135,161,195,161,146,168,191,155,121,109,94,77,73,129,193,192,193,194,194,194,195,195,79,85,90,103,118,128,136,157,181,156,154,165,181,151,128,102,92,78,76,153,192,191,193,194,195,195,196,196,79,84,90,104,119,129,136,151,170,169,164,164,181,148,135,107,83,76,81,169,192,192,194,194,195,196,196,196,78,84,91,106,119,128,137,146,172,184,156,164,174,137,120,100,79,73,92,179,192,193,195,195,195,196,196,196,78,83,89,105,117,126,137,143,169,179,153,147,157,121,102,87,76,68,108,185,189,193,195,195,195,196,196,196,77,82,88,104,115,126,135,143,159,165,149,146,144,118,102,89,77,66,120,187,188,191,193,193,194,195,195,196
7,165,165,165,166,164,165,164,163,162,159,160,160,158,157,156,156,155,153,152,151,149,148,147,146,145,142,141,140,168,167,167,167,165,165,165,164,164,162,162,162,159,159,159,159,157,155,154,152,151,150,150,147,147,144,143,142,170,170,168,168,167,166,166,166,165,165,164,163,162,162,161,159,159,157,156,156,154,152,151,149,149,147,145,144,172,171,170,171,170,169,169,168,167,166,166,165,165,164,163,161,161,159,158,157,156,154,152,151,150,149,147,145,173,173,172,173,172,171,171,170,169,169,167,166,166,166,165,163,162,160,159,158,158,156,155,154,152,151,149,148,175,175,174,174,173,173,172,171,171,170,169,168,167,167,167,164,165,164,161,159,159,158,157,155,152,152,150,149,177,177,175,175,175,174,174,174,172,172,171,169,169,168,168,168,166,165,164,162,160,159,159,157,155,153,152,150,179,179,177,177,177,176,176,174,172,171,176,176,175,171,170,169,167,167,166,164,163,162,160,158,158,155,153,152,180,180,179,178,179,178,175,183,164,135,159,147,160,170,175,175,174,169,165,165,164,163,161,159,159,158,155,154,180,180,181,180,179,178,178,199,173,182,170,102,86,104,127,139,152,170,174,169,166,164,162,161,161,160,157,155,182,181,182,182,182,178,189,191,186,200,168,118,103,88,84,95,96,106,131,158,165,168,167,164,162,160,158,157,183,182,183,183,182,181,193,186,193,190,168,162,165,123,80,80,87,87,85,86,100,114,134,154,167,161,160,159,185,185,184,185,181,186,195,195,198,185,177,183,171,142,109,84,83,84,77,82,83,84,81,115,168,163,162,159,186,186,186,187,184,191,193,199,195,184,182,179,164,156,143,112,80,83,77,77,86,87,84,80,99,125,159,161,186,185,186,185,187,196,200,193,185,181,174,168,169,170,153,123,89,79,85,81,92,86,79,75,72,83,153,164,188,187,188,184,188,197,202,193,184,177,161,164,173,170,151,118,95,86,73,100,167,154,137,127,124,140,164,163,189,188,189,181,192,198,198,185,179,176,165,166,171,156,134,110,92,90,82,95,177,177,176,175,173,171,165,164,190,189,189,180,199,204,195,175,177,178,168,164,155,128,120,108,89,94,100,89,157,177,170,171,170,168,167,165,191,191,183,181,205,200,189,176,175,170,162,156,131,122,121,105,97,93,91,123,175,175,172,172,170,168,167,166,191,194,175,188,205,193,183,183,173,164,158,142,126,129,116,103,78,70,119,172,179,175,175,173,171,169,168,166,193,189,171,198,197,186,181,179,162,159,149,135,135,126,106,99,99,149,182,180,176,177,176,174,170,168,167,166,195,176,177,201,192,183,181,171,162,154,142,138,130,116,95,143,187,186,181,179,179,178,175,174,172,171,168,166,192,166,190,192,188,182,174,170,157,143,141,131,119,99,117,186,185,182,183,181,181,179,177,176,173,171,171,168,180,176,191,185,186,184,164,153,139,135,132,119,103,110,175,189,184,183,183,182,181,179,179,177,174,172,170,168,171,186,185,184,186,171,145,134,127,121,116,102,119,177,191,186,185,185,184,181,180,180,179,177,175,173,171,169,170,186,190,195,166,147,135,121,111,104,95,108,182,192,187,188,187,185,184,182,181,181,179,177,175,173,171,170,176,177,194,181,143,149,127,106,99,94,102,166,195,188,189,188,187,185,184,184,182,181,179,178,176,174,172,170,175,176,182,166,147,154,126,99,91,101,176,196,192,190,189,187,187,186,185,185,183,181,180,178,177,174,173,171
1,190,192,193,193,193,193,193,194,195,194,194,194,194,192,193,194,182,164,186,185,185,184,181,179,179,177,175,173,195,195,196,197,198,197,198,198,199,197,197,198,197,198,186,183,194,113,182,198,187,187,184,183,182,180,178,176,199,200,201,201,202,202,202,203,202,202,201,203,200,208,191,126,192,109,121,157,194,190,189,187,187,185,181,179,204,205,205,205,206,207,206,206,205,206,206,206,203,216,181,119,191,96,77,100,174,199,192,189,189,187,185,182,207,208,208,208,210,210,210,210,210,210,210,213,211,221,154,124,188,78,114,120,147,208,193,193,192,191,188,185,212,212,213,212,212,213,213,213,212,211,215,189,192,224,130,141,193,85,140,125,129,211,196,197,196,194,191,189,216,216,217,217,217,218,218,217,215,215,219,175,134,225,129,163,180,81,150,129,128,215,201,202,198,195,194,191,220,220,220,222,221,220,221,220,221,219,223,160,131,210,117,181,150,83,174,141,129,218,204,205,202,199,198,195,222,223,223,224,223,222,222,221,222,221,225,131,150,183,115,196,146,113,201,129,129,221,207,207,204,203,200,198,226,226,226,227,226,226,225,226,226,226,224,122,159,186,127,202,153,122,201,119,132,225,209,210,208,205,204,202,227,228,228,228,228,230,229,228,227,230,213,107,164,197,116,198,148,103,196,135,146,227,211,211,210,208,206,204,231,229,229,231,231,231,230,231,228,234,202,97,176,180,90,182,117,102,207,131,149,230,214,214,214,212,209,205,233,233,233,233,233,235,233,233,232,236,208,102,168,163,102,189,113,120,201,121,147,233,217,219,216,215,212,209,235,236,236,236,235,235,235,235,234,238,186,108,178,169,169,193,162,124,151,123,152,234,220,222,218,215,213,212,235,237,236,236,236,236,236,236,237,231,186,183,167,140,156,159,165,146,126,115,119,229,222,222,221,218,215,214,237,238,239,238,238,238,238,238,237,231,208,170,132,123,137,161,166,140,126,133,96,206,230,222,222,221,218,215,239,239,240,239,239,239,241,241,241,233,190,136,118,122,141,181,171,153,190,179,102,171,241,225,225,222,221,218,241,241,241,242,242,242,243,244,238,228,182,125,123,136,153,188,199,197,172,194,137,137,241,226,227,223,221,220,242,243,244,243,244,244,243,245,232,224,194,130,109,140,171,199,212,225,159,190,165,106,228,230,227,225,223,221,244,244,244,245,245,245,244,248,228,222,206,146,101,141,179,201,209,213,191,170,126,85,224,233,229,228,226,223,246,246,245,246,246,247,246,250,224,220,211,162,118,122,180,216,216,210,175,158,91,111,244,231,230,229,228,226,245,246,246,246,247,248,247,252,225,205,202,164,129,119,193,231,225,209,163,128,75,182,247,232,232,230,229,228,245,246,246,247,248,248,247,252,234,197,190,167,138,132,203,222,203,182,143,100,90,238,237,235,234,231,230,229,244,246,246,246,247,247,248,250,243,205,193,174,150,144,203,211,192,158,125,71,147,253,235,236,235,231,229,228,244,246,247,247,247,248,248,249,251,210,192,188,160,143,189,193,174,135,94,68,220,242,236,235,233,230,228,226,245,247,247,247,248,249,248,249,253,219,197,187,161,143,167,159,131,99,49,159,251,236,238,236,234,229,226,226,245,246,247,248,249,249,249,250,246,218,203,187,164,147,149,137,99,56,148,253,240,240,238,237,235,234,237,225,245,246,246,248,248,249,249,254,230,209,213,192,184,162,136,119,64,101,255,243,243,241,239,237,236,219,181,118
8,152,154,155,155,156,156,157,158,158,158,157,157,158,158,158,158,157,157,156,154,153,151,150,150,148,148,146,144,155,156,155,157,158,159,160,160,160,160,159,160,160,159,160,159,159,158,157,156,155,153,152,152,150,149,148,146,156,158,158,159,161,161,162,161,161,165,171,142,161,161,162,162,161,160,159,157,157,155,154,153,152,151,149,148,158,159,159,160,162,162,163,164,159,175,179,119,161,164,163,163,162,161,160,160,159,158,156,155,154,153,152,150,159,160,161,162,163,164,164,166,160,183,175,119,166,163,166,166,162,164,162,160,161,158,158,158,155,155,154,152,161,162,163,164,165,165,165,167,161,189,180,125,170,178,157,160,172,157,158,163,160,166,157,151,160,155,155,154,163,164,165,166,166,167,166,168,163,195,178,123,188,202,154,136,192,155,129,164,153,177,154,129,164,157,157,155,164,166,166,167,167,167,167,169,163,196,180,124,201,206,168,129,183,163,118,161,155,168,161,119,163,160,158,156,165,166,167,168,168,169,169,172,166,195,195,155,203,210,176,128,175,169,109,162,156,143,171,126,140,163,159,157,166,167,168,169,171,171,171,172,169,198,191,193,196,202,178,122,163,164,107,168,149,109,158,155,117,144,164,158,167,168,169,171,171,172,172,170,176,201,190,192,195,190,170,115,163,155,110,166,132,103,146,171,115,140,166,159,168,168,170,172,173,173,174,169,187,202,171,173,171,179,182,119,160,151,99,140,123,106,166,177,118,154,165,162,168,171,172,172,173,175,174,170,194,206,156,151,148,154,186,117,162,154,88,142,112,124,187,164,119,165,165,162,170,172,173,174,174,174,176,172,198,207,170,136,142,145,151,143,166,143,110,149,119,167,185,138,123,172,166,167,172,173,174,175,175,176,178,175,200,208,177,144,127,142,157,177,157,153,172,175,171,169,160,121,134,168,160,142,171,173,174,175,176,177,179,175,200,210,184,156,130,138,165,175,181,197,202,190,168,145,131,111,105,105,97,85,171,172,174,175,175,177,178,174,199,210,191,170,141,135,167,191,206,204,193,181,158,131,112,98,96,93,87,84,172,173,174,176,177,178,178,174,197,210,200,182,161,147,170,198,206,197,185,167,142,118,101,95,93,87,86,85,174,175,174,178,179,178,180,176,192,210,205,189,173,153,172,200,200,188,172,149,122,102,91,85,70,63,52,42,174,176,177,177,179,178,180,178,184,210,208,192,172,157,167,194,190,173,156,128,103,88,80,74,63,53,50,39,174,176,177,176,178,180,181,183,186,210,202,185,168,155,165,179,172,155,139,109,90,86,81,69,54,45,47,43,178,180,181,181,182,182,189,157,152,210,175,170,157,149,163,166,151,133,111,87,80,82,84,80,61,42,39,41,155,157,159,160,163,163,178,101,84,201,170,168,155,154,159,153,132,110,86,62,66,75,72,81,77,51,35,37,100,98,96,98,98,99,108,100,51,132,176,168,161,154,145,138,114,91,50,37,48,65,62,70,83,64,40,32,98,98,101,100,99,98,101,111,95,95,136,153,152,138,128,115,93,65,17,21,46,58,56,59,77,73,49,33,102,101,104,104,105,104,109,108,92,97,96,103,119,119,104,102,74,34,11,42,70,73,46,52,68,77,60,38,105,102,104,104,105,104,111,109,92,91,90,83,80,82,83,83,60,21,29,63,79,72,40,46,60,75,68,48,105,102,104,107,107,106,113,106,94,92,90,86,77,70,66,63,58,50,51,51,52,44,30,39,53,67,71,56
2,209,209,209,209,209,209,209,208,207,206,204,204,204,201,201,200,198,198,197,194,195,195,193,192,191,190,188,186,211,211,211,211,211,211,210,209,209,209,207,206,204,204,203,203,202,201,199,201,198,197,195,194,192,191,190,189,214,214,215,214,214,213,211,211,211,210,209,208,208,208,205,201,194,187,155,171,197,198,200,195,195,192,191,191,216,216,216,216,215,214,214,213,213,212,211,210,205,199,195,187,167,146,112,100,154,168,161,200,196,195,193,191,217,217,217,217,218,217,216,215,215,214,214,209,195,192,187,157,123,103,91,99,128,139,109,188,199,196,196,193,219,220,219,219,218,218,217,217,217,217,214,201,199,182,145,97,86,86,82,84,95,103,88,123,206,198,197,196,221,221,221,220,221,220,219,219,218,218,208,205,187,131,94,81,75,83,81,73,79,86,81,144,209,199,198,197,223,223,223,223,223,223,221,220,220,215,207,203,154,93,88,81,82,76,79,102,101,106,134,200,206,202,201,199,225,225,225,225,224,224,223,222,223,211,209,187,124,88,87,83,80,102,160,207,201,204,211,208,205,204,202,200,227,227,227,227,227,225,225,225,218,209,203,153,95,80,89,80,157,215,218,213,214,212,208,208,208,205,204,202,227,227,227,229,228,228,228,222,207,217,197,138,101,88,85,98,218,218,213,213,214,213,211,210,208,208,206,203,229,228,229,229,228,228,231,207,213,222,187,137,111,94,74,166,225,215,216,216,216,214,212,212,210,209,207,205,230,230,232,231,229,232,223,203,224,211,178,138,107,86,113,225,220,221,220,219,217,216,213,214,211,209,208,207,231,231,232,233,232,234,210,208,231,203,164,126,98,80,146,235,219,223,222,221,218,216,215,214,212,211,210,208,233,232,233,233,234,229,200,222,230,188,156,125,99,78,174,235,221,223,222,221,219,217,214,216,217,214,210,210,235,234,234,233,238,215,208,235,218,171,152,122,93,86,217,229,224,224,223,222,219,220,220,213,199,200,216,210,235,235,235,236,235,204,227,232,197,165,159,119,92,80,178,238,226,224,222,222,227,213,180,159,151,141,166,213,235,235,235,239,221,213,234,215,179,176,156,113,86,89,98,149,224,229,228,225,191,143,136,148,150,125,138,213,237,237,236,237,212,224,225,203,178,173,145,104,83,92,106,96,147,231,199,159,131,128,152,149,119,158,213,214,238,237,240,227,215,223,218,195,176,166,128,93,88,104,108,109,107,125,121,127,141,141,133,109,171,222,217,213,240,239,239,218,220,220,210,185,170,151,118,90,104,116,115,114,114,104,121,133,127,114,104,172,227,218,216,216,240,242,229,222,224,217,201,181,159,142,114,96,116,116,115,114,112,107,111,106,120,167,207,227,220,221,219,217,241,236,223,227,224,215,199,167,143,139,109,103,115,114,110,109,100,85,101,164,216,235,226,221,222,222,221,218,243,223,223,215,219,210,183,152,138,126,99,106,112,113,108,89,104,145,206,236,230,226,226,226,224,223,221,219,229,217,208,212,208,193,161,129,117,102,101,105,105,98,81,124,216,242,235,229,230,228,228,227,224,222,221,220,220,215,198,205,195,182,149,117,111,102,94,82,85,103,167,237,237,232,231,231,231,229,228,228,226,223,222,221,221,207,200,206,200,187,135,115,110,95,114,162,196,230,246,236,234,234,233,232,230,229,229,228,227,224,223,222,217,204,199,206,198,178,123,113,100,120,227,250,246,238,233,235,235,233,233,233,230,228,228,227,225,224,223,220
14,137,137,137,139,139,139,140,139,139,139,138,137,137,136,133,133,132,131,130,129,127,126,124,123,122,119,117,116,139,138,139,140,141,142,142,142,142,141,142,140,139,138,137,136,135,133,131,132,131,128,126,125,124,123,122,120,140,142,141,143,144,145,145,145,144,143,143,142,141,139,138,137,136,135,133,133,131,130,129,128,125,123,122,121,141,143,144,145,146,146,146,146,146,146,144,144,145,141,138,137,137,137,135,133,132,132,130,129,128,124,123,122,144,144,145,146,146,147,149,148,148,150,149,143,133,145,146,147,140,138,138,136,135,133,131,130,129,128,126,124,146,147,147,148,148,150,152,151,148,133,123,114,64,79,87,117,138,144,143,138,137,135,133,131,131,129,126,124,147,148,149,151,150,152,153,145,122,100,75,48,20,30,52,59,84,99,125,142,139,137,136,133,133,131,129,126,148,149,150,151,151,152,153,141,108,63,31,20,23,17,36,51,63,44,80,155,138,139,137,135,133,132,130,128,149,151,152,153,153,148,142,119,73,12,6,9,10,7,12,16,34,18,37,124,144,139,138,137,134,133,132,130,150,152,154,155,154,137,123,86,32,11,3,4,8,9,11,11,19,31,30,39,138,142,140,138,137,136,132,131,151,153,154,155,153,131,106,42,13,17,10,9,9,4,7,10,11,29,22,53,153,142,141,139,137,136,133,132,154,154,155,155,155,138,110,37,11,9,9,16,8,31,126,110,116,41,23,33,114,150,142,140,138,137,135,133,154,157,157,157,156,139,111,49,8,4,6,16,3,105,170,159,165,137,72,38,47,79,131,144,138,138,136,133,155,156,157,157,156,140,109,44,16,18,9,0,77,165,154,155,152,160,137,62,66,43,104,151,139,139,138,137,156,157,157,159,156,145,113,52,28,25,15,21,155,160,160,157,156,153,85,67,66,42,123,149,141,140,139,138,157,158,159,162,157,148,123,73,40,22,10,36,163,158,160,157,162,119,61,67,50,53,151,145,144,141,140,138,157,160,161,160,153,146,129,78,47,23,2,66,179,159,158,162,149,65,53,62,31,94,157,145,145,143,142,139,158,160,162,160,149,149,127,86,54,23,7,34,133,160,168,163,99,56,46,48,17,133,152,147,146,144,142,139,158,160,162,160,150,146,126,88,51,24,20,16,28,53,126,105,55,65,56,17,86,159,147,149,147,146,143,140,159,161,163,158,149,153,129,87,59,29,19,25,33,36,41,38,49,58,32,65,161,151,150,147,146,146,144,141,160,160,164,156,149,158,128,86,58,32,16,25,34,42,47,40,44,46,43,153,156,152,151,148,147,146,144,143,161,162,165,153,151,155,121,81,62,35,16,25,34,38,47,48,36,20,124,165,154,153,151,150,148,146,144,143,161,162,165,152,152,149,118,80,66,39,17,25,37,42,45,47,20,67,166,154,155,155,153,151,148,147,145,143,161,162,164,151,154,141,111,83,68,40,17,28,42,47,48,30,37,162,160,157,156,155,153,153,151,148,146,144,162,163,164,150,148,129,105,78,64,38,16,28,43,43,41,7,97,174,157,160,158,155,154,153,151,148,145,144,162,164,164,149,141,126,102,77,60,38,17,27,39,40,20,34,164,162,160,160,159,156,155,153,151,150,147,144,162,165,163,150,134,124,97,70,52,35,18,24,33,28,9,132,172,161,161,160,159,156,155,154,151,150,148,146,162,163,162,149,128,119,92,67,45,30,17,21,21,7,107,177,162,164,163,161,159,156,156,154,152,149,147,145
0,217,215,215,216,217,217,216,217,217,217,220,221,216,218,218,218,219,217,218,220,216,217,217,219,218,216,215,215,217,217,218,217,218,219,219,220,219,220,221,221,222,219,217,217,218,215,219,220,217,219,219,219,219,218,218,217,217,219,219,218,219,221,220,218,222,224,220,221,224,222,219,219,220,219,220,219,219,220,219,219,220,218,217,216,220,220,220,220,222,222,220,220,212,202,221,218,216,222,221,214,215,226,224,224,225,219,217,221,221,219,219,218,221,220,221,222,223,222,218,232,211,135,124,184,181,161,192,202,179,162,210,209,208,225,224,219,221,221,220,219,221,221,221,223,222,224,221,226,219,130,44,143,188,111,96,191,171,91,92,161,126,123,173,226,221,220,220,220,222,222,222,222,218,221,215,184,211,149,77,111,172,102,63,161,141,80,63,152,120,63,76,157,230,219,221,221,223,223,224,224,218,215,203,159,176,189,113,69,145,102,53,143,134,63,71,158,114,58,90,115,166,236,218,222,224,224,225,224,221,215,201,167,132,158,118,46,128,98,33,130,157,69,69,168,132,64,105,154,93,192,231,219,225,224,224,225,223,215,196,164,123,106,84,63,121,81,23,142,151,55,89,179,156,129,121,129,94,106,239,219,225,226,226,226,223,213,203,186,153,102,84,79,92,70,41,119,116,100,172,173,160,145,115,88,71,101,234,220,226,227,228,228,223,218,209,199,182,138,88,75,68,90,102,104,145,186,191,181,164,131,112,93,57,129,239,221,227,227,228,230,225,220,216,203,194,176,120,78,80,97,105,148,196,200,198,189,166,125,101,91,54,162,242,223,228,228,229,230,224,220,226,212,207,197,157,115,115,101,123,180,198,209,214,192,157,121,97,83,62,209,235,225,228,230,229,230,226,207,231,224,219,211,186,158,150,126,132,178,193,211,220,193,149,115,96,67,111,240,227,228,229,231,231,230,232,199,220,233,230,218,199,181,170,156,144,172,199,213,206,184,137,106,98,65,185,238,228,228,231,231,230,230,238,201,202,233,235,224,209,193,180,169,160,159,187,211,196,173,127,103,85,86,230,230,229,229,231,231,230,231,236,218,180,224,235,234,217,204,191,180,160,153,168,190,180,150,117,102,65,126,245,228,229,231,231,231,231,231,232,237,181,202,234,236,216,197,191,179,161,152,160,175,163,127,105,95,58,196,238,229,232,231,231,231,232,234,230,238,207,183,236,231,202,188,191,173,167,153,142,153,149,112,98,61,121,240,231,229,233,232,232,232,234,235,232,236,222,196,231,232,207,201,207,181,170,148,128,131,138,111,79,76,216,236,232,233,234,234,232,232,234,236,234,236,228,203,234,238,219,208,219,188,166,147,124,117,126,110,60,169,243,233,235,235,236,236,232,233,235,235,233,237,229,191,231,237,227,213,213,184,163,144,127,112,122,96,71,219,238,236,237,236,235,235,232,231,233,233,234,238,229,185,229,236,227,211,202,181,159,143,131,108,116,85,93,233,229,238,237,236,236,236,231,230,230,231,233,237,226,202,228,236,227,212,197,181,163,142,132,110,107,74,114,251,231,236,236,237,237,237,232,232,230,232,233,236,218,217,229,224,223,207,195,179,163,141,130,106,100,70,135,251,231,235,235,236,237,237,234,234,232,233,234,235,214,212,223,220,221,197,186,175,163,141,123,98,93,66,161,239,230,235,234,235,235,235,234,233,231,233,236,236,211,206,220,224,221,194,174,167,160,141,118,91,87,65,190,236,232,235,235,235,235,235
8,109,115,120,124,127,130,133,134,136,137,140,141,142,144,147,147,149,151,151,152,152,152,154,156,156,156,156,156,110,116,120,124,128,131,134,135,136,142,131,134,145,146,147,149,150,151,152,152,153,154,156,157,156,156,156,156,111,117,122,125,130,133,136,135,142,162,117,107,150,146,147,149,151,152,153,153,156,157,155,156,157,157,157,157,112,118,123,128,130,133,137,132,152,154,101,103,151,146,148,151,152,152,153,155,157,156,159,158,157,158,158,158,114,118,124,129,131,134,137,133,165,136,88,118,153,147,149,151,154,154,155,156,157,158,142,155,159,158,159,159,116,119,125,130,132,135,136,141,168,122,86,131,152,149,151,152,153,155,158,155,165,158,94,131,166,158,160,160,118,120,126,129,131,137,135,151,167,122,91,144,151,150,152,154,158,156,158,156,174,150,81,128,168,160,162,162,117,121,126,130,134,138,133,159,161,117,95,148,146,152,154,146,139,154,158,146,173,153,97,122,170,161,163,162,118,123,128,131,135,138,133,168,155,107,105,149,124,132,160,143,115,116,154,132,171,158,128,103,159,165,164,164,119,124,131,132,133,139,135,176,159,119,156,154,127,117,158,145,111,107,147,125,149,169,137,96,124,171,163,166,120,125,130,131,136,139,140,183,156,141,187,157,123,119,155,135,98,109,140,107,152,177,139,98,109,174,164,167,120,125,130,134,137,138,147,176,146,125,184,167,113,125,154,122,86,108,130,101,173,173,140,94,120,175,165,168,121,126,130,132,136,137,149,171,157,135,168,161,99,136,150,112,88,90,122,102,174,163,132,88,125,176,167,169,121,127,132,133,139,136,156,174,167,161,168,158,117,134,159,126,84,92,120,128,168,146,120,85,134,177,168,170,122,126,132,134,138,137,173,167,162,148,159,168,135,144,174,135,83,109,139,158,162,136,111,84,146,175,168,170,121,127,132,136,136,145,173,142,140,131,140,148,116,143,140,107,131,160,161,142,146,134,110,82,149,176,169,170,122,127,132,136,135,160,172,144,134,124,110,108,103,106,133,162,174,160,155,132,121,123,108,79,153,176,169,172,123,128,132,136,134,179,171,153,139,120,109,106,110,152,192,192,167,155,144,121,106,107,96,86,172,173,172,173,123,129,133,135,144,190,171,156,138,121,111,96,139,193,191,185,167,145,131,111,99,101,81,118,180,171,173,173,124,130,135,132,161,194,167,155,140,130,117,122,181,188,186,177,156,135,120,103,92,95,78,157,177,172,174,175,124,130,137,129,173,195,167,154,147,140,133,165,184,182,177,167,145,126,113,96,90,87,83,169,178,172,175,176,125,130,137,130,184,192,169,161,156,150,164,181,187,173,161,154,135,118,106,92,90,82,98,178,174,174,175,176,126,131,137,131,190,194,170,162,153,155,178,187,183,161,150,143,127,112,99,90,88,75,139,180,174,177,177,176,127,132,138,132,183,196,176,164,154,156,176,181,166,152,142,134,119,104,93,89,77,111,176,174,175,176,176,177,125,131,138,132,177,196,178,169,156,153,167,169,161,151,135,130,114,98,91,81,99,171,175,175,175,176,177,177,126,132,138,134,167,188,165,162,153,153,159,165,164,153,137,129,113,95,81,82,160,178,174,176,176,177,177,178,126,132,138,135,160,174,165,160,162,162,151,156,158,145,131,122,106,85,70,138,177,173,175,176,176,177,178,178,127,133,138,136,157,179,174,168,170,164,148,149,155,143,125,115,99,70,101,174,173,175,176,177,178,178,178,178
23,167,168,168,169,170,170,170,171,171,171,171,171,171,171,171,172,171,170,170,170,170,169,169,168,167,167,168,158,169,170,169,170,172,172,172,172,173,174,173,173,173,173,173,174,174,172,171,171,170,170,170,169,168,169,167,168,169,171,172,173,173,174,174,174,174,175,175,175,174,175,175,174,175,175,175,172,172,171,171,170,170,170,169,168,172,173,174,174,174,174,174,175,175,175,176,175,175,176,176,176,176,177,176,175,175,174,174,174,173,172,171,170,173,174,174,175,175,176,176,176,175,176,176,177,176,176,176,176,177,178,176,176,175,170,171,172,172,174,173,172,174,175,175,177,177,177,178,177,177,177,178,179,177,176,177,178,177,175,183,192,186,178,174,138,114,181,173,174,175,176,176,177,177,178,179,178,178,178,179,180,179,178,179,180,178,189,199,195,157,141,140,104,127,181,175,176,176,177,177,179,179,181,181,181,181,181,181,180,182,181,180,181,198,198,179,151,94,129,147,161,180,177,177,177,177,178,178,180,181,181,181,181,182,181,181,181,181,181,178,194,209,177,106,105,154,186,182,180,178,178,178,178,178,179,180,181,181,181,181,181,182,181,182,181,182,180,185,203,209,141,82,174,189,180,178,181,181,177,179,179,179,180,181,181,181,181,183,182,181,182,183,183,184,181,197,201,201,149,157,186,160,174,184,169,170,183,181,181,180,180,181,182,182,182,183,183,183,182,183,183,184,184,195,194,183,194,198,194,139,129,171,155,134,185,181,180,180,181,182,182,183,182,182,184,183,183,178,164,169,182,185,187,122,165,167,172,139,94,152,163,112,185,182,182,180,181,182,183,184,183,183,185,184,191,187,166,144,157,168,188,173,193,192,177,129,79,122,142,105,188,183,182,181,182,184,184,183,184,185,185,187,200,199,194,172,161,152,150,142,147,168,178,143,81,72,97,84,173,187,183,180,182,184,184,183,184,186,186,184,197,206,197,193,176,159,170,155,137,131,135,139,103,65,79,74,125,193,183,179,181,183,183,183,183,184,186,182,192,208,194,188,167,128,144,173,165,150,133,96,112,75,69,81,100,190,183,179,182,183,183,183,183,184,186,181,192,205,200,197,139,105,94,137,142,132,112,79,107,81,64,76,137,191,180,181,182,183,184,183,184,184,187,180,192,206,209,194,135,89,58,93,156,119,75,87,120,86,63,92,179,185,182,181,182,183,184,184,185,185,187,177,194,209,205,177,140,99,45,115,141,92,53,112,123,88,65,147,192,182,183,181,181,182,183,184,185,185,185,178,197,209,195,165,132,104,55,100,108,46,54,126,112,72,94,190,185,184,184,181,180,181,182,183,184,186,184,182,201,206,187,158,128,102,53,86,84,33,92,120,85,65,150,193,183,186,185,186,185,185,186,187,188,190,184,187,207,200,175,153,130,105,60,81,70,45,109,98,68,84,184,186,184,185,184,156,158,160,163,167,171,176,172,189,198,190,163,144,127,108,63,72,70,69,86,83,73,148,198,191,192,192,191,94,93,92,95,98,99,93,117,190,191,180,149,139,141,105,70,63,74,95,90,78,84,143,148,151,154,157,158,97,96,95,95,95,97,89,115,188,187,171,147,152,151,99,82,68,84,102,100,86,90,85,86,89,84,83,91,97,98,98,97,98,99,92,128,191,180,173,156,161,152,108,88,78,89,97,92,90,99,96,97,101,119,149,173,97,99,99,98,99,102,90,140,200,190,185,169,166,151,116,91,81,85,92,89,100,107,123,156,180,194,187,188
11,139,141,145,148,151,152,155,156,158,159,159,160,159,160,160,160,160,159,158,157,157,155,152,152,151,149,146,144,140,145,147,150,152,154,157,158,160,161,161,161,160,161,160,161,160,160,159,158,158,156,154,153,152,150,149,147,143,147,150,152,155,158,159,161,163,163,164,163,163,158,145,163,161,161,160,159,158,157,156,155,153,152,150,149,147,150,153,155,158,161,163,164,165,165,166,166,166,173,108,163,164,163,163,162,160,160,159,156,155,154,153,132,149,153,155,158,160,164,166,166,168,168,168,168,173,180,97,160,166,166,165,165,164,162,160,159,157,157,153,88,150,155,158,161,164,166,167,168,170,170,171,170,184,178,88,160,169,168,167,166,166,165,163,161,160,159,142,59,153,157,159,164,167,168,170,171,173,173,173,173,202,175,92,168,171,170,170,169,167,167,165,165,164,162,129,49,156,160,163,166,168,171,173,175,175,165,179,164,197,161,99,172,174,173,173,172,170,170,168,167,166,165,140,68,159,163,166,169,171,174,175,198,180,123,158,140,108,139,101,159,176,175,175,175,174,173,171,171,169,166,158,83,161,164,168,171,174,175,196,213,198,156,104,120,90,111,98,135,179,178,177,177,176,175,174,173,172,170,167,106,163,166,170,173,176,190,223,181,184,170,110,95,89,120,101,141,182,181,180,180,179,178,177,175,174,172,171,146,165,169,172,175,181,219,201,148,140,166,102,87,83,118,100,148,184,184,183,182,181,180,179,177,176,175,173,167,167,170,174,176,200,224,175,139,144,144,79,91,81,110,93,159,186,186,186,186,183,182,181,179,178,178,176,173,168,172,176,178,212,215,160,114,113,119,77,89,80,106,88,177,188,187,187,186,185,183,182,180,180,179,178,176,170,174,176,178,219,216,171,122,82,77,96,77,92,105,91,185,190,189,188,187,187,184,183,182,181,181,180,178,171,176,178,180,229,216,165,112,79,64,102,73,116,106,72,153,192,192,190,189,186,181,177,175,179,182,182,180,173,177,181,184,237,215,165,121,85,66,75,64,112,98,66,88,172,187,179,161,148,137,132,121,117,151,183,181,174,179,182,190,238,214,168,129,96,75,79,87,103,105,98,100,109,123,130,142,145,131,114,105,95,110,184,183,175,180,183,192,236,211,169,133,102,82,86,124,147,147,137,124,113,116,127,131,118,103,117,155,170,174,186,184,177,182,185,192,235,213,178,142,111,90,101,146,147,137,131,122,108,98,100,106,135,163,187,192,191,189,187,185,179,184,187,198,234,216,183,144,121,99,115,141,141,130,114,107,91,88,130,182,195,194,195,193,193,192,188,186,180,186,187,212,234,216,181,141,121,104,112,124,129,120,99,90,109,167,196,200,199,196,196,194,194,193,190,188,182,186,190,230,229,201,165,132,111,104,112,110,114,108,91,135,194,202,201,200,199,198,197,196,195,194,192,190,183,186,222,236,218,189,154,126,109,106,109,97,98,98,150,202,206,204,202,201,200,199,198,197,195,195,194,192,184,192,236,229,203,180,149,129,114,104,97,87,122,183,206,207,206,205,203,202,201,201,199,198,197,195,194,193,183,207,235,221,180,151,140,126,107,95,83,112,193,209,208,207,207,207,205,204,203,202,200,199,199,196,195,193,183,221,234,212,160,128,122,113,96,85,92,181,210,210,210,209,209,207,206,204,204,203,201,201,200,197,195,194,192,231,232,200,139,121,114,104,86,79,153,208,211,213,212,210,210,208,207,205,205,204,203,202,201,199,197,196
24,175,177,178,179,180,180,180,181,181,181,182,182,182,182,182,182,182,182,181,181,180,179,178,164,102,39,21,20,177,179,180,181,181,182,183,183,183,184,184,184,184,184,184,184,184,184,184,183,182,181,179,155,89,42,30,28,180,181,183,183,184,185,185,186,186,186,187,187,187,187,187,186,187,187,186,186,185,184,182,155,82,43,41,45,182,183,185,186,187,187,188,188,188,188,189,189,189,189,189,189,189,189,188,188,187,186,185,165,96,49,51,50,184,185,186,187,188,189,190,191,191,191,191,191,191,191,192,192,192,192,191,191,190,189,187,179,127,60,51,41,186,187,188,190,190,192,193,193,193,193,193,194,194,194,194,194,194,194,194,193,192,191,190,187,158,82,47,34,188,189,190,191,192,193,194,195,194,194,195,195,195,196,196,196,196,196,196,195,194,193,193,192,180,110,48,30,189,191,192,193,191,187,193,196,196,196,196,197,197,198,198,198,199,198,198,198,196,195,195,194,190,142,63,42,191,192,194,195,189,165,178,197,198,198,199,199,199,199,200,200,200,200,200,200,199,197,197,196,194,170,119,110,192,193,195,196,189,153,153,193,199,200,200,200,200,200,201,201,201,201,201,201,200,199,199,198,196,180,151,167,193,194,197,198,193,159,134,180,200,201,201,200,201,202,202,202,202,202,202,200,200,201,200,199,198,184,168,183,194,196,198,199,197,173,134,156,196,201,201,201,202,202,203,204,203,202,201,187,189,200,201,201,200,193,177,159,195,197,199,200,200,189,153,136,180,201,203,203,204,197,190,200,194,181,193,170,154,188,202,202,200,194,173,139,196,198,199,200,201,198,175,141,153,192,203,204,209,198,173,184,182,149,166,172,136,175,203,202,200,187,156,129,197,199,200,201,202,202,191,166,147,169,198,204,215,212,185,165,172,149,154,176,141,174,204,203,202,176,134,118,196,198,200,200,201,202,198,182,160,161,185,199,205,215,201,158,158,159,151,175,150,173,201,203,197,151,130,152,196,198,199,200,201,202,201,195,183,181,179,182,182,196,204,164,141,156,153,178,151,154,183,195,177,134,160,193,196,198,200,201,201,202,203,203,205,198,178,163,153,159,189,171,128,140,156,180,156,129,163,179,152,146,188,199,196,198,200,201,201,202,204,205,211,207,179,154,133,131,162,170,127,134,161,170,164,137,163,158,140,175,199,200,197,199,201,201,202,203,205,206,209,215,205,174,140,131,146,164,138,135,167,150,160,165,163,137,144,192,202,201,194,196,198,199,200,201,203,204,206,215,221,206,172,139,140,160,154,139,171,159,180,178,155,130,165,201,203,202,155,157,160,163,165,168,172,174,177,194,223,222,206,164,141,159,179,174,191,196,193,165,140,136,182,199,200,200,107,108,110,111,112,113,115,116,117,142,206,220,217,190,154,150,185,215,223,214,184,150,126,124,151,164,178,189,102,103,103,103,103,103,104,104,104,115,174,213,221,206,171,150,166,209,220,200,168,137,120,134,156,176,194,205,103,103,103,103,104,104,105,105,105,107,138,201,221,208,176,151,154,190,203,181,154,124,135,183,200,204,208,215,103,102,102,102,103,104,105,106,106,106,116,177,207,189,164,146,149,171,181,162,134,120,154,183,192,201,203,206,102,103,103,102,103,103,104,105,106,105,109,159,198,180,166,155,152,162,167,147,118,128,176,175,167,181,191,195,101,102,102,103,103,103,104,105,105,105,107,149,198,190,181,168,160,163,163,139,109,134,182,176,149,159,179,190
15,87,96,102,104,107,113,119,123,127,131,134,136,139,142,145,148,149,151,153,154,155,156,157,157,158,158,159,158,89,98,104,106,108,115,121,126,129,133,135,137,140,143,146,149,151,153,155,156,157,157,157,159,159,160,160,159,89,99,105,107,109,116,122,127,130,134,135,138,141,145,147,150,152,154,156,157,158,158,159,159,160,161,160,160,90,99,106,107,111,117,123,127,131,134,137,140,143,145,147,151,153,155,157,158,158,159,160,161,161,163,162,162,91,100,107,108,112,118,124,129,133,137,138,141,144,146,149,152,154,156,158,158,160,160,161,162,163,163,163,164,93,102,107,109,113,119,124,130,134,137,139,141,144,147,151,153,155,157,158,158,160,161,162,163,164,164,163,164,94,103,108,109,115,121,126,131,135,139,141,145,150,153,155,157,160,161,163,164,167,167,163,163,163,163,164,165,96,105,109,110,115,123,128,132,135,137,135,128,122,127,132,137,142,141,135,128,130,146,161,169,170,169,169,166,96,104,109,113,117,121,121,118,119,121,115,107,104,101,103,105,111,118,111,108,95,86,95,109,127,145,161,169,97,106,113,121,118,122,116,102,101,97,87,96,111,111,107,98,111,129,123,122,111,97,90,78,69,70,81,102,99,107,112,99,84,82,69,53,58,57,54,59,69,69,64,65,99,109,109,108,99,99,104,96,83,73,67,71,100,108,111,111,104,91,87,97,112,124,131,127,121,112,101,82,93,94,100,83,86,94,115,102,90,78,73,80,101,107,111,115,123,130,135,141,143,144,148,152,154,162,151,118,109,93,84,70,85,105,124,110,100,88,82,90,101,107,111,115,120,126,130,134,138,141,145,148,151,148,126,132,104,55,64,38,95,135,128,111,110,100,93,94,101,108,110,114,120,126,131,135,139,141,144,147,151,139,127,110,98,34,38,25,112,146,131,109,110,102,94,89,102,108,110,114,120,126,132,135,139,142,145,149,144,138,136,97,55,29,39,17,108,150,127,107,96,89,84,75,103,109,111,115,121,127,133,136,138,141,145,149,147,123,138,119,52,31,37,23,112,138,123,100,79,74,64,61,103,109,112,115,122,128,132,135,139,142,145,148,154,143,133,135,93,48,78,118,123,119,120,89,68,62,55,61,102,109,112,115,122,127,132,136,140,142,146,149,151,158,143,135,122,114,119,112,105,97,77,55,50,44,48,52,103,108,110,115,122,127,132,135,139,143,146,148,151,157,144,123,128,113,81,84,73,56,59,99,94,95,111,130,103,109,111,117,124,128,134,139,143,147,150,152,155,138,109,99,104,91,66,56,44,33,37,144,183,175,177,176,80,85,88,91,95,97,104,107,109,114,119,121,136,126,100,82,66,65,50,36,36,32,35,79,176,165,170,172,70,71,70,72,75,73,72,72,73,73,76,72,96,111,72,52,45,60,70,54,52,73,65,75,100,101,105,109,76,77,78,80,80,81,81,81,83,85,86,85,87,83,61,67,78,86,87,86,85,86,87,84,81,82,81,81,75,75,77,78,79,79,80,81,81,83,83,85,84,82,88,93,90,87,85,86,87,86,86,87,88,88,89,89,76,78,78,79,80,80,80,81,81,81,82,82,84,84,85,87,88,90,87,86,85,85,88,88,88,88,89,90,76,76,79,81,81,82,81,83,83,83,83,84,85,85,85,84,84,87,87,85,85,86,87,88,88,89,89,90,75,76,79,80,81,81,82,83,83,84,84,85,85,86,86,85,84,86,86,87,86,86,87,88,87,87,89,89
4,165,168,171,174,176,179,181,184,185,187,187,189,191,191,190,192,191,190,188,189,189,188,188,187,187,186,185,185,166,169,173,176,178,180,182,185,187,188,188,192,193,191,189,188,194,192,192,191,191,189,189,187,188,187,187,186,167,171,174,177,180,181,184,186,188,188,187,183,190,205,186,149,157,197,194,193,192,190,190,189,190,189,187,187,168,172,174,178,181,185,186,188,187,204,194,161,149,221,195,150,105,195,197,196,195,193,192,191,192,191,189,189,170,174,178,180,183,186,187,187,185,228,218,172,123,196,199,151,95,144,163,176,198,195,194,193,193,192,191,190,171,175,180,182,183,184,197,211,192,169,217,191,136,168,204,151,78,97,146,118,167,199,195,195,194,193,192,191,172,176,180,183,186,188,221,226,196,125,192,192,132,139,191,137,73,102,149,120,96,195,198,196,195,194,193,192,173,176,181,184,186,189,217,207,186,119,173,173,122,108,157,122,70,125,161,122,79,187,200,197,195,195,195,193,173,178,182,184,186,187,217,189,188,125,156,164,117,84,130,111,82,175,169,112,79,189,201,197,195,197,195,194,175,179,182,185,188,188,220,181,174,158,139,169,150,90,113,94,91,175,142,84,79,199,201,197,197,198,196,195,176,180,183,187,189,190,228,213,177,134,101,180,163,161,146,138,141,165,152,104,81,203,203,200,199,199,197,196,177,180,185,187,189,195,231,208,172,126,92,108,112,173,153,168,186,198,186,129,99,205,203,202,200,200,199,198,177,182,186,187,189,202,228,187,146,119,99,85,80,115,153,166,179,186,172,127,95,196,203,202,201,199,200,199,178,182,186,189,188,211,227,189,151,115,92,87,97,101,124,141,144,151,158,135,87,167,208,203,201,200,201,200,178,182,186,189,187,216,226,192,150,118,101,96,104,127,122,129,154,163,172,148,99,129,212,204,202,201,200,201,179,183,187,191,190,223,223,186,143,113,104,97,100,137,136,172,197,199,201,165,116,90,200,206,204,203,202,201,180,184,188,191,192,225,221,185,145,119,106,105,106,135,156,204,220,211,214,178,126,77,162,212,206,206,203,203,181,184,188,192,192,222,213,185,150,132,118,110,111,135,201,218,221,203,196,164,120,76,155,213,207,206,204,203,181,183,187,191,191,219,208,186,156,134,120,113,120,177,226,225,210,192,164,139,100,84,192,210,206,206,204,203,180,182,187,190,190,217,214,189,148,124,117,124,144,216,230,220,193,167,140,110,78,133,211,207,205,205,204,203,181,182,187,189,191,212,220,191,158,152,132,137,167,226,222,204,176,148,120,89,83,196,209,207,206,206,205,203,180,184,187,191,193,205,216,198,172,165,143,123,183,223,207,184,157,131,101,71,138,215,209,208,207,206,205,203,181,184,187,191,194,204,221,202,175,167,146,121,192,211,185,159,131,107,83,79,198,212,209,207,207,206,205,203,181,184,187,193,190,207,228,210,181,160,134,121,186,191,161,136,108,90,63,141,215,210,208,208,208,207,205,203,182,185,188,193,186,227,226,202,171,143,113,128,174,157,121,104,87,68,91,203,210,209,208,208,208,207,205,203,182,185,190,189,202,235,220,200,176,137,122,143,154,117,93,88,77,79,185,213,210,210,209,209,208,208,207,206,171,172,175,173,221,226,218,204,173,145,137,142,135,103,94,95,74,143,196,194,195,195,195,195,195,196,195,194,119,117,112,144,228,212,199,187,156,142,153,124,110,95,90,86,78,110,115,114,114,112,113,113,114,117,118,116
7,202,201,202,201,201,201,201,201,200,200,198,196,195,194,193,192,190,188,187,186,184,184,182,181,178,174,172,171,204,204,204,203,204,204,204,203,202,202,201,199,198,197,195,195,193,192,190,188,187,185,184,181,180,178,174,175,205,206,206,205,206,207,207,206,205,203,202,201,199,199,199,198,196,194,192,190,189,187,186,183,182,179,177,176,207,207,207,208,208,208,208,208,206,205,203,202,203,202,201,199,199,197,194,193,192,190,187,187,185,181,179,178,208,208,209,210,210,211,210,209,208,207,207,206,205,202,202,200,200,199,197,195,194,192,189,188,187,183,182,180,211,210,210,210,211,212,212,210,209,208,209,208,207,205,205,203,201,200,199,196,195,195,193,191,188,186,184,182,213,212,212,213,213,213,213,213,211,210,209,209,207,207,206,205,203,202,200,200,197,195,194,192,189,187,185,184,214,214,214,214,214,213,214,214,213,212,210,209,209,209,208,206,206,203,203,201,200,199,197,195,192,189,186,185,215,215,215,215,215,215,215,215,214,214,213,211,212,212,211,209,207,206,203,200,197,191,189,188,190,192,188,187,216,216,216,217,217,217,216,217,218,216,211,209,204,196,187,176,165,149,146,148,149,129,133,163,156,185,191,189,217,217,218,217,217,218,216,201,177,158,150,145,146,140,131,128,129,107,113,118,113,112,119,152,133,176,194,191,218,218,218,220,220,210,187,166,146,115,119,126,127,129,127,128,107,101,93,93,92,94,81,102,142,188,197,193,219,219,221,217,193,176,172,164,142,107,102,102,102,106,108,112,110,118,110,86,92,89,84,87,92,106,162,196,219,223,210,176,164,166,166,157,147,131,117,116,118,127,131,130,131,124,112,75,81,86,75,72,63,86,114,196,223,204,170,164,163,164,157,157,157,145,128,124,124,132,123,118,114,106,89,65,64,67,64,65,63,78,142,197,198,173,170,167,165,162,160,165,153,131,89,83,94,98,90,89,92,94,97,113,139,155,168,172,176,182,195,195,168,175,176,170,166,167,164,147,134,106,64,66,69,56,130,182,189,201,208,211,212,210,209,208,203,202,201,200,169,175,174,170,169,161,142,128,125,101,77,57,51,52,60,178,221,214,212,209,207,206,205,202,202,201,181,152,169,169,173,175,167,147,130,118,118,126,121,72,48,51,39,132,222,214,213,210,207,206,206,206,193,125,79,65,167,171,176,168,149,124,115,112,115,127,111,62,48,44,74,202,217,214,213,214,214,207,185,139,90,57,48,53,169,170,165,146,125,113,109,103,101,103,75,49,34,62,199,221,217,217,217,194,157,114,77,56,50,53,44,49,165,156,138,127,122,116,114,100,82,80,71,54,40,80,226,209,200,198,162,94,65,53,53,53,53,55,41,42,145,133,128,123,114,104,89,75,69,83,85,57,42,119,144,88,80,76,62,56,64,50,44,49,52,53,39,35,134,132,125,106,88,80,74,74,79,86,69,52,65,79,46,41,50,39,51,43,47,52,29,40,49,52,37,33,132,124,109,94,88,85,79,73,70,62,58,70,68,62,52,29,47,35,41,37,39,40,24,33,45,49,32,35,113,97,89,89,86,82,71,63,64,66,68,61,53,48,46,27,34,36,30,32,35,31,21,28,44,45,27,35,73,60,66,70,72,71,77,81,63,64,56,50,41,46,39,34,20,33,25,29,33,24,21,28,42,41,24,35,52,90,106,105,102,106,106,83,53,43,48,49,36,40,34,35,14,24,25,26,33,21,22,31,40,39,22,39
2,182,184,185,186,186,187,186,186,186,185,184,184,184,183,183,182,181,180,179,180,179,178,176,175,155,70,58,68,184,185,187,187,187,187,187,187,187,187,186,186,186,184,183,183,182,182,181,180,180,178,177,178,143,64,62,75,186,186,188,189,188,188,189,189,189,188,188,187,186,185,185,180,172,176,180,178,180,180,180,179,155,82,69,74,187,188,189,189,190,190,190,189,189,189,188,188,188,190,185,157,112,124,148,127,173,182,180,179,175,104,74,73,188,190,191,192,192,192,192,192,191,191,193,199,191,172,139,108,81,76,96,81,136,179,182,180,180,118,66,59,189,190,193,193,193,193,194,194,192,198,206,200,153,106,86,74,65,66,72,71,74,149,185,182,183,144,62,40,190,192,193,194,194,194,195,195,194,204,200,161,106,63,62,63,55,57,63,68,66,144,187,184,184,173,79,36,192,193,194,195,196,196,196,196,200,215,166,100,75,57,52,59,61,64,75,93,131,179,186,185,184,182,123,85,193,194,195,195,197,198,198,195,209,210,138,79,69,67,60,64,69,124,167,180,187,187,187,186,185,183,143,129,194,195,196,197,199,200,199,197,220,196,126,79,67,68,62,81,142,185,192,190,189,188,189,188,186,185,113,135,195,195,197,199,200,200,199,206,218,173,108,67,62,60,65,123,195,194,193,192,190,190,189,188,188,185,120,156,196,196,198,200,201,200,199,217,213,162,112,78,72,61,64,136,198,195,194,193,192,191,189,188,189,187,156,146,198,200,201,201,202,201,205,227,206,152,107,85,80,73,67,159,199,196,195,194,193,192,191,190,189,189,183,157,200,202,202,203,202,202,217,229,191,137,97,81,78,78,84,180,199,197,196,195,194,194,193,192,191,190,187,176,200,202,203,203,203,202,228,224,178,127,89,78,76,78,88,185,200,198,197,195,195,195,194,192,191,190,189,181,202,202,203,204,203,206,236,218,169,120,87,78,79,80,93,190,200,199,198,197,196,195,195,194,194,192,190,186,201,203,205,205,202,220,235,204,159,113,85,79,80,75,93,194,201,200,200,199,197,196,195,195,192,190,190,189,202,204,206,205,205,235,229,190,147,105,81,76,73,71,72,148,204,201,200,200,198,193,180,167,155,147,150,181,204,206,206,203,213,237,218,177,135,100,80,69,68,71,75,88,188,205,201,193,172,154,152,148,141,128,100,143,206,207,207,202,226,233,206,164,127,97,78,61,65,72,76,72,122,170,167,151,149,149,151,138,121,121,123,161,206,207,203,209,234,227,197,156,120,93,72,58,71,79,82,83,82,101,129,148,157,146,121,104,134,178,189,191,205,205,200,227,236,220,188,151,114,87,67,63,84,92,100,100,100,108,130,143,133,110,95,143,191,195,194,192,204,198,216,236,231,213,181,145,108,85,66,74,93,102,110,108,107,109,116,110,111,141,171,194,195,194,193,191,198,209,234,230,220,203,174,136,101,85,69,85,99,105,109,106,97,89,95,137,181,198,199,198,195,194,193,192,203,223,228,223,212,193,163,123,95,84,77,96,106,108,100,91,83,102,162,198,203,201,200,199,196,195,193,192,221,219,218,210,194,171,143,107,90,80,82,97,103,100,84,87,146,190,203,203,202,201,200,200,197,195,194,193,218,215,205,187,165,148,117,92,81,79,86,90,93,81,87,159,203,205,203,203,202,201,200,199,197,196,195,194,218,210,190,166,147,133,101,80,77,81,80,79,79,101,170,205,204,203,203,203,202,201,201,200,198,196,195,195
0,184,186,189,191,193,194,195,198,197,195,196,197,197,195,196,195,194,194,193,193,191,189,189,186,185,185,184,183,185,188,191,193,195,195,196,198,198,197,198,199,199,198,198,195,195,195,194,193,191,189,189,189,189,187,186,184,186,189,192,193,195,196,197,200,200,199,200,200,198,199,199,201,200,194,195,200,194,191,190,186,177,187,187,187,188,189,192,194,197,198,200,201,201,201,202,203,204,201,198,183,187,205,189,167,191,195,196,193,128,171,192,186,188,190,194,196,198,199,200,202,205,203,202,190,172,195,184,134,103,151,160,112,105,189,205,186,107,173,194,187,188,193,195,197,198,200,201,197,187,206,205,163,111,103,153,137,108,70,115,132,79,138,207,168,101,181,194,189,192,195,196,200,201,200,202,189,131,124,190,159,123,78,130,149,129,88,110,139,94,127,193,165,91,166,199,189,193,195,198,200,200,202,206,186,157,97,147,176,130,103,128,164,129,94,104,140,94,101,186,153,76,129,205,190,194,196,199,201,200,215,204,198,174,130,111,186,136,102,104,165,126,89,99,135,95,62,147,147,78,89,202,191,195,197,199,199,207,205,185,215,174,140,91,165,137,98,89,161,126,78,77,110,83,60,123,153,80,88,202,193,196,198,200,199,223,221,164,196,169,151,84,129,143,101,77,150,114,66,55,78,66,80,154,144,72,118,207,192,195,199,200,206,218,204,169,170,145,116,66,107,137,90,62,103,79,61,69,82,64,99,154,136,70,151,206,194,196,200,201,208,211,186,151,161,124,76,61,105,97,71,66,85,80,57,78,79,70,131,151,134,74,179,201,195,197,201,203,203,226,222,191,153,106,98,74,101,101,56,57,108,77,64,102,91,100,147,155,116,82,199,198,197,198,201,204,205,226,225,207,176,121,105,77,120,123,64,91,121,124,150,150,142,128,141,127,88,94,210,197,199,199,201,204,206,225,227,212,191,154,122,114,107,112,158,187,182,183,174,154,148,125,103,97,65,111,214,197,200,198,202,205,206,223,227,212,184,161,131,121,134,160,198,187,190,175,164,151,139,119,83,81,54,162,210,199,200,197,200,204,204,217,222,208,187,173,143,126,148,173,191,184,181,168,155,145,127,107,86,55,123,210,200,201,200,197,200,203,206,211,217,205,191,176,152,136,164,168,180,182,171,157,142,130,116,99,60,95,210,203,202,201,199,199,202,205,207,208,214,204,192,176,156,136,149,160,165,179,161,147,133,120,107,75,73,197,208,203,203,202,200,199,202,204,207,206,209,204,190,176,154,133,125,145,152,159,151,138,125,108,80,65,183,212,203,205,204,200,201,200,201,203,206,208,208,209,191,180,154,120,111,128,136,132,129,124,110,77,63,168,214,202,205,205,203,209,194,201,203,206,215,215,204,185,184,170,133,102,111,120,122,111,101,99,74,105,183,215,205,209,209,206,211,146,77,189,192,196,159,185,218,185,173,155,137,127,123,113,113,98,84,60,138,207,204,199,204,195,183,196,131,47,38,116,120,115,25,125,228,196,184,165,156,141,120,98,100,87,66,57,110,111,114,114,93,65,54,61,42,37,33,113,116,84,57,71,156,187,183,171,152,128,105,89,85,74,51,75,104,92,68,46,30,26,32,32,34,29,26,120,115,71,69,61,61,102,145,152,138,111,92,80,72,57,31,54,81,47,33,30,29,23,23,30,35,29,27,120,102,68,68,63,59,48,68,99,99,82,70,61,52,33,13,0,16,33,24,24,26,23,18,21,29,31,30
10,94,101,111,118,123,127,131,134,137,139,141,143,144,145,147,149,150,152,154,155,156,159,160,160,161,161,163,164,95,102,112,119,123,128,131,134,138,140,141,144,145,146,148,149,139,147,155,156,158,160,160,161,162,163,164,164,97,104,114,120,124,129,132,135,139,141,142,144,147,149,153,153,127,135,155,157,159,161,162,163,164,165,165,165,99,107,116,121,126,129,133,136,139,142,143,145,148,150,158,158,126,125,153,158,161,162,163,164,165,166,167,167,100,108,117,123,127,130,134,137,140,142,144,147,149,151,158,160,131,120,151,159,162,164,164,165,167,168,168,169,100,109,119,124,127,132,135,138,140,143,145,147,148,150,157,163,140,120,148,161,163,165,166,166,168,169,169,170,102,110,119,124,128,133,136,139,141,144,146,151,139,137,155,167,149,121,141,162,163,165,165,167,168,169,170,171,104,112,120,125,130,134,137,140,143,145,149,153,131,112,146,167,153,122,132,161,164,165,166,168,169,170,171,172,106,114,121,126,130,135,138,140,143,144,151,151,128,100,131,162,150,121,125,160,166,167,167,169,171,171,172,172,107,115,122,126,131,138,135,126,121,123,137,153,137,107,117,155,141,117,118,158,167,168,169,171,172,172,173,173,107,115,122,127,131,138,123,99,86,86,98,136,147,116,103,139,126,111,112,155,167,169,170,172,173,174,174,174,109,117,123,128,131,132,118,96,82,83,87,114,147,127,99,120,109,104,106,151,168,170,172,173,174,175,175,175,109,117,123,127,132,135,132,128,118,99,85,105,148,136,102,100,93,97,101,145,169,171,172,173,174,176,176,176,110,117,123,128,133,137,141,156,155,114,80,110,156,144,105,82,83,94,98,137,169,172,173,174,175,175,176,176,111,119,124,129,134,139,145,162,161,118,75,110,165,148,111,79,80,93,96,126,168,173,174,174,175,176,176,176,112,119,125,130,134,148,158,163,164,123,74,117,172,149,115,82,79,90,91,115,166,174,175,175,176,177,178,178,114,120,125,130,134,155,169,162,160,124,89,141,171,147,113,82,74,84,86,108,164,175,175,176,177,178,178,179,114,121,126,130,134,149,164,155,152,132,133,170,165,145,113,83,74,80,82,116,168,174,175,176,177,178,178,179,114,121,126,130,134,141,150,140,145,152,172,181,161,141,115,87,76,77,84,137,172,175,176,177,178,178,179,179,115,121,125,130,135,139,148,140,148,172,188,181,159,136,114,90,77,74,95,155,173,175,177,178,179,179,180,180,117,122,125,130,135,141,158,158,149,170,189,176,155,133,113,91,76,73,113,166,174,175,177,178,179,179,180,180,117,122,126,130,135,141,167,172,151,162,185,174,155,132,113,92,76,78,133,171,174,175,177,178,179,179,180,180,117,122,127,132,136,143,173,180,163,170,183,173,155,132,114,94,77,91,152,172,174,176,178,179,179,180,180,181,117,121,126,132,136,145,178,187,172,176,182,173,157,134,115,95,78,112,165,173,175,177,178,180,180,180,181,181,117,121,126,132,137,144,177,186,175,176,178,175,163,137,115,93,83,134,171,174,175,177,178,179,180,181,181,182,118,121,126,132,136,143,171,179,171,175,176,177,167,140,113,91,94,152,173,174,176,177,178,179,180,181,182,182,118,121,127,132,137,143,163,171,170,176,176,176,166,138,110,89,113,164,173,175,176,178,179,180,181,181,181,182,118,122,127,133,137,143,158,168,175,180,176,174,163,135,107,90,132,170,173,175,177,178,180,180,181,181,182,183
6,176,176,177,178,178,178,178,178,179,180,180,181,180,179,181,181,178,180,180,181,180,179,179,179,178,177,177,177,177,177,178,179,179,179,179,179,179,180,180,181,182,182,182,182,182,182,182,182,181,182,180,180,180,179,178,178,178,178,179,179,180,180,181,181,180,180,180,181,182,183,183,183,182,182,184,184,184,184,182,181,181,179,179,180,178,179,179,180,180,180,182,183,182,183,182,181,183,183,185,186,186,185,184,185,184,182,182,184,180,182,182,181,179,180,180,180,183,183,183,183,183,184,186,185,185,185,182,178,172,174,172,174,169,161,147,148,167,163,180,183,180,181,181,182,183,183,183,184,184,183,181,178,170,169,171,164,167,170,186,186,174,164,150,139,152,131,174,185,179,181,181,183,183,185,184,179,171,164,166,166,166,181,182,168,159,162,164,156,141,124,116,120,128,149,186,184,178,180,182,184,184,182,178,173,163,154,152,158,162,155,146,129,116,108,108,122,132,142,157,171,181,187,185,185,179,180,182,180,179,177,176,176,164,142,120,112,105,93,91,91,96,132,172,186,190,192,191,189,187,185,185,185,178,179,177,173,171,173,175,174,171,156,111,79,67,73,100,135,171,193,190,189,186,184,185,186,186,185,184,184,179,172,170,171,174,171,174,178,177,145,105,75,69,73,98,189,193,184,187,187,185,185,186,185,186,185,184,183,169,170,171,171,169,173,180,180,150,103,89,75,70,78,74,95,173,195,186,187,186,186,186,185,186,184,185,184,171,173,169,171,171,177,176,176,164,138,96,68,68,84,81,68,73,165,195,187,187,187,187,187,187,186,185,185,178,173,170,173,177,174,176,187,188,160,108,69,62,77,96,93,74,77,185,190,189,190,189,188,186,185,185,185,174,175,174,171,175,180,178,190,181,138,97,72,70,69,76,83,87,61,152,196,187,188,188,188,187,186,186,186,176,176,173,172,174,176,173,179,170,128,88,72,73,73,62,64,71,88,177,197,193,192,193,193,192,191,188,185,178,173,169,167,163,165,167,172,170,141,95,60,68,78,79,76,61,136,170,170,174,177,179,178,172,172,183,190,174,171,169,168,165,168,172,178,182,153,96,64,54,65,96,76,70,85,84,88,91,89,85,94,130,166,193,193,169,175,174,171,171,175,178,184,178,138,82,68,68,58,67,80,82,86,83,81,75,100,131,162,193,192,199,200,172,173,168,167,166,162,158,167,145,109,84,73,72,68,67,88,99,85,95,110,148,193,205,184,170,177,179,191,167,160,155,158,149,139,138,139,118,98,87,82,78,68,70,80,106,157,184,190,198,185,177,179,168,160,172,176,153,155,148,140,132,127,127,121,103,86,82,84,83,72,81,131,197,211,202,192,180,166,157,160,165,156,148,152,131,136,133,123,117,109,97,96,96,86,88,83,85,119,179,213,202,186,183,179,165,151,147,147,156,152,142,147,91,97,97,94,85,80,81,85,86,89,79,116,178,212,211,203,192,180,174,179,156,133,141,141,145,148,142,142,66,67,74,76,78,84,87,87,91,75,132,196,208,201,193,186,176,175,175,175,148,116,131,136,132,143,137,134,76,77,86,88,84,85,88,88,74,140,206,186,189,175,184,178,163,169,175,176,144,104,116,128,129,135,131,138,83,83,84,84,83,85,84,75,145,205,180,172,173,173,180,167,154,158,170,174,146,99,99,119,124,128,136,132,83,82,83,83,85,83,93,158,200,183,172,162,171,173,177,159,145,146,162,175,148,101,93,109,123,130,140,123
10,35,37,38,42,46,49,55,66,74,81,86,90,92,96,99,102,105,107,108,110,112,113,114,115,116,115,116,118,36,38,40,42,46,50,56,68,76,83,89,91,93,97,100,102,105,107,108,113,113,114,114,116,117,116,117,117,35,38,40,44,48,50,57,70,78,85,90,92,94,99,101,105,105,114,114,94,115,115,116,117,118,118,118,117,35,39,41,45,49,52,60,72,80,87,92,93,97,100,103,108,102,137,126,54,106,120,118,119,120,120,119,119,36,39,42,45,49,52,61,74,82,89,93,95,99,102,105,108,106,127,134,69,77,127,119,121,122,122,122,122,37,41,43,45,50,54,63,75,83,91,94,97,101,104,107,111,111,121,141,83,54,119,125,125,125,125,125,125,38,42,44,47,50,54,65,76,85,92,97,98,102,107,110,112,117,116,140,106,59,101,131,125,127,127,127,127,38,42,45,48,51,54,66,78,86,93,98,99,103,109,112,115,118,118,138,124,69,79,136,128,129,130,130,129,39,42,45,49,52,55,68,80,88,95,100,100,105,109,114,114,133,123,71,105,83,60,131,133,133,132,132,132,40,42,46,49,52,57,70,82,90,97,100,102,108,112,116,116,146,96,46,77,130,60,118,139,135,135,135,135,40,43,46,50,53,58,71,83,91,98,101,104,109,113,119,119,141,89,59,50,146,69,100,143,137,138,138,137,41,44,46,51,53,59,73,84,92,100,102,107,110,120,112,129,160,109,99,56,95,84,79,146,138,141,140,139,42,44,47,51,54,61,75,85,95,102,104,102,124,164,126,145,132,127,120,74,49,81,65,142,141,142,142,142,43,44,48,51,54,61,75,86,96,102,108,115,127,187,154,155,99,89,125,95,50,55,52,127,146,142,143,143,44,45,49,51,54,62,76,87,99,95,153,174,114,123,160,163,117,46,109,123,77,46,35,108,151,143,144,144,44,45,48,52,55,63,78,89,100,98,161,189,133,58,109,167,110,49,59,125,97,60,30,91,153,144,147,147,44,46,49,52,56,64,79,90,101,107,132,110,141,123,70,107,65,28,30,100,106,76,41,78,154,146,147,148,44,46,49,52,56,66,80,91,102,106,142,95,115,139,56,72,83,20,65,108,106,94,57,65,152,148,148,149,45,46,49,53,56,67,81,93,104,103,153,139,88,71,58,89,92,84,144,132,109,102,69,60,146,151,150,149,45,47,50,53,56,68,83,95,105,106,154,135,110,93,82,91,100,162,162,124,113,96,70,66,145,152,150,150,45,48,51,53,57,69,83,95,107,105,173,166,136,102,98,110,182,188,144,109,96,86,71,74,150,152,152,152,45,47,51,53,57,70,83,95,108,105,173,179,140,112,123,142,204,170,136,111,84,75,67,88,157,152,154,154,46,47,51,54,57,70,85,97,109,104,180,185,138,138,131,152,198,160,127,106,84,69,62,108,160,152,154,154,46,48,50,53,57,71,86,98,110,106,172,175,146,153,137,176,181,145,114,94,79,71,62,120,161,153,155,155,46,48,51,53,58,72,86,99,111,106,156,173,167,160,156,184,162,125,102,83,73,70,66,140,159,154,156,156,46,48,52,53,58,73,86,99,111,107,137,186,180,159,143,156,143,111,89,77,73,62,82,158,156,157,157,158,46,48,52,53,59,74,88,100,110,113,119,175,167,148,129,131,128,114,95,83,74,53,105,163,157,158,158,161,46,48,52,54,60,76,89,102,110,115,113,149,148,134,126,129,125,128,107,81,70,49,121,164,156,159,160,161
15,78,88,100,106,108,112,118,125,131,135,138,142,146,149,153,156,159,163,166,168,171,172,174,175,176,177,179,179,80,90,101,107,109,111,119,127,132,136,140,144,147,151,155,158,160,164,167,169,171,173,175,175,177,179,180,180,83,91,100,107,110,111,120,127,132,138,142,145,148,152,156,159,161,165,168,171,173,175,176,177,179,181,181,182,83,92,103,107,111,115,122,127,133,140,144,146,149,153,157,159,164,167,169,172,175,176,178,180,181,182,182,183,84,94,103,109,110,114,121,126,133,138,143,147,152,155,160,163,166,167,170,173,174,176,179,180,182,183,184,185,84,92,113,142,118,116,124,123,131,139,140,139,137,142,147,158,165,169,173,176,178,180,179,180,183,185,186,186,86,94,117,142,113,106,115,121,137,144,148,153,156,149,139,139,141,149,161,159,161,173,186,183,181,185,185,187,88,97,109,104,80,85,96,103,125,139,145,164,172,157,155,152,159,158,153,161,140,125,140,180,188,183,188,187,88,99,108,110,112,116,112,109,114,123,126,147,171,175,171,169,170,179,170,157,171,149,101,93,170,193,186,188,90,100,107,110,115,122,131,138,141,143,141,137,131,145,169,192,171,143,176,143,153,177,103,92,83,172,194,188,89,100,108,112,113,119,127,134,140,142,153,154,111,94,101,125,159,132,134,128,152,188,90,103,119,90,182,191,89,100,107,110,114,121,128,134,140,138,179,152,105,92,95,112,146,136,95,96,133,157,99,97,148,98,100,200,90,100,107,110,114,122,128,134,140,138,195,154,86,96,118,140,156,135,104,102,100,97,101,113,128,104,54,140,90,102,109,110,114,122,129,135,139,148,186,196,129,115,131,142,146,123,106,107,106,103,102,119,131,103,57,58,90,102,108,110,115,122,129,136,134,174,194,191,193,156,102,86,98,93,87,92,101,111,119,129,135,115,69,53,92,103,110,111,115,123,130,138,140,171,200,185,181,186,155,84,31,45,38,45,66,98,127,126,119,105,70,63,92,103,109,112,115,123,129,138,141,152,191,198,167,163,190,154,37,22,21,26,28,55,111,118,108,95,79,74,90,102,108,111,115,122,129,137,139,147,181,186,180,150,178,122,46,26,22,34,25,51,116,129,125,117,106,89,90,99,105,109,113,119,125,133,135,162,197,179,160,149,147,85,44,28,25,36,32,47,103,127,131,127,118,102,64,68,73,75,77,79,81,86,90,100,171,201,176,133,130,123,50,28,34,35,47,55,72,105,118,121,116,103,64,66,68,67,69,71,70,68,68,67,95,136,146,143,129,121,76,38,36,35,46,60,62,83,102,108,108,99,71,71,72,74,74,76,77,77,76,82,80,79,84,91,84,81,81,46,39,32,40,59,66,73,101,108,102,91,71,71,71,73,74,76,76,77,76,79,82,82,82,81,92,92,102,77,65,61,64,72,72,69,97,105,96,87,72,73,74,74,73,75,76,76,77,78,79,79,80,80,81,106,125,123,131,118,100,120,120,106,105,109,93,81,71,72,73,75,75,75,77,77,77,79,81,80,80,82,82,77,84,124,145,128,147,162,161,156,137,126,108,80,70,71,71,73,74,76,78,78,78,79,82,83,80,81,83,85,80,86,97,118,159,177,166,160,141,118,101,88,70,71,71,73,73,76,76,76,78,78,81,82,81,81,81,84,83,82,81,87,104,120,144,126,111,99,95,109,70,70,71,73,74,75,77,76,77,79,79,79,79,80,80,82,84,84,85,83,79,80,111,97,106,122,119,102
23,112,117,120,125,128,129,132,135,137,138,140,141,140,141,143,143,141,141,141,140,140,139,138,139,138,135,134,134,113,118,123,127,130,131,134,136,139,140,141,143,143,144,144,146,144,144,145,144,144,141,141,141,139,138,137,137,114,119,125,129,132,134,136,138,140,143,145,146,146,146,147,147,146,144,147,152,148,143,143,144,144,141,140,138,116,122,127,131,134,136,137,141,143,144,145,148,148,148,147,150,154,141,112,117,145,149,147,146,146,145,142,141,119,125,130,133,137,138,141,142,144,147,148,150,150,150,158,160,161,143,136,102,124,138,147,150,148,146,145,144,122,126,132,136,138,140,144,145,146,150,151,153,153,177,155,151,179,109,116,128,124,68,118,157,148,148,147,145,123,129,133,138,140,142,146,148,150,151,154,151,172,173,134,101,108,40,84,90,66,78,147,155,152,151,150,149,127,132,137,140,142,145,148,150,151,153,156,153,185,161,151,38,80,133,161,156,146,160,158,156,155,154,152,152,128,133,138,141,144,147,148,153,154,156,157,163,188,163,162,61,113,177,156,162,164,157,158,157,156,156,155,154,129,133,139,142,146,148,151,154,157,157,154,167,178,161,159,120,142,158,141,97,141,163,159,160,158,158,156,156,130,135,142,145,148,152,154,156,157,169,164,152,150,153,171,170,173,166,142,49,79,178,160,161,161,158,158,157,132,138,144,147,150,153,156,156,162,188,169,145,130,136,148,136,133,123,107,54,67,180,161,164,164,163,161,158,134,139,144,149,152,155,158,155,170,192,170,138,103,111,159,166,156,139,115,55,50,177,164,166,166,164,164,162,134,140,145,149,153,156,160,157,182,193,174,138,112,109,123,128,135,151,127,55,29,173,169,167,166,165,164,163,135,141,147,150,154,157,159,163,193,195,178,154,152,155,134,102,86,97,87,39,24,167,173,168,169,167,165,164,136,143,149,153,155,159,158,171,199,192,175,154,153,137,152,134,109,92,53,29,15,66,154,182,170,171,167,166,139,144,149,155,157,161,163,188,196,194,179,144,131,96,131,153,115,81,40,19,31,73,65,145,181,171,171,169,139,145,151,155,159,157,175,202,199,191,155,89,76,72,64,105,133,81,24,16,30,64,25,11,162,177,171,171,140,146,152,156,159,160,196,208,195,166,141,103,54,28,16,136,164,63,24,9,27,41,22,0,98,188,170,173,141,147,153,158,156,189,212,201,183,152,138,107,59,25,94,145,120,44,12,18,37,40,21,6,124,184,172,173,142,148,154,155,167,214,209,195,167,150,137,94,50,29,77,78,58,22,0,30,50,36,20,113,185,176,175,174,144,149,156,152,193,218,201,188,165,151,124,88,44,3,8,12,28,23,17,34,32,47,144,190,178,178,178,176,144,150,155,166,216,209,200,177,155,138,114,73,37,12,28,40,48,42,33,15,88,173,189,178,181,179,179,179,145,150,151,209,215,196,183,162,144,127,95,59,35,23,47,57,57,39,25,116,194,187,181,181,181,181,181,180,144,146,172,227,199,182,167,146,128,106,82,54,32,30,52,49,31,14,132,201,185,185,185,183,181,181,181,181,155,147,193,218,192,172,159,139,116,98,76,52,27,28,43,20,28,144,197,186,188,187,186,185,183,182,181,181,10,97,222,198,185,159,132,126,107,82,63,36,19,12,16,65,168,200,189,189,188,187,186,186,185,183,183,182,0,82,198,180,178,142,132,118,67,48,25,0,0,56,129,194,195,187,189,189,188,188,187,187,186,184,182,183
10,157,162,166,170,173,178,180,184,187,189,189,191,192,192,194,193,195,195,195,195,195,195,195,195,196,195,195,196,161,165,168,173,177,181,184,188,190,193,194,196,197,197,197,197,199,198,198,199,198,198,198,197,199,198,197,197,164,168,173,177,181,185,188,192,195,197,198,199,200,200,202,202,201,205,204,202,202,202,201,201,202,202,202,200,166,171,177,181,184,189,193,197,199,200,202,203,204,204,205,205,207,195,198,208,206,206,204,206,205,205,205,205,169,175,180,183,188,191,195,199,203,205,206,207,208,207,209,204,220,192,144,215,208,208,208,209,209,209,209,207,173,178,182,187,191,195,199,202,206,207,208,209,210,212,211,210,217,224,143,179,219,210,212,214,213,212,213,211,174,180,185,189,193,197,201,205,208,210,211,211,213,214,215,217,215,232,187,144,219,215,215,215,216,215,214,215,177,182,188,191,197,200,204,208,211,212,213,215,215,216,215,206,212,237,237,154,194,224,216,218,217,217,216,216,180,185,190,194,198,203,208,211,212,213,215,217,218,217,229,175,135,234,255,188,151,229,219,222,222,221,221,219,182,186,192,196,201,207,209,212,214,216,218,219,221,218,234,213,125,160,255,218,131,211,227,224,224,224,223,223,183,188,194,199,204,207,210,214,217,218,221,222,224,222,227,255,217,157,196,236,139,183,234,223,225,226,226,226,185,190,195,201,206,208,213,216,217,220,223,225,222,234,222,218,255,184,106,209,160,153,240,224,229,229,229,228,187,191,197,202,207,210,214,217,219,222,223,225,228,239,211,129,196,208,123,116,136,127,242,227,231,231,230,230,187,192,198,202,208,211,214,219,222,224,225,224,255,234,184,93,83,207,166,87,81,91,216,237,232,231,231,232,187,193,199,203,209,213,216,220,224,225,227,223,255,224,126,51,37,158,184,130,76,70,160,246,232,233,232,233,190,195,199,205,210,215,218,222,225,224,237,239,217,253,212,104,33,146,196,179,115,74,127,245,234,235,233,233,191,197,200,206,211,215,220,223,226,224,243,255,233,211,255,187,88,194,223,201,135,73,109,242,238,238,237,235,192,198,203,206,211,217,221,223,226,228,225,231,255,195,196,249,159,200,227,192,144,76,101,243,239,240,240,238,191,196,201,205,210,215,219,223,224,227,228,197,215,184,132,205,150,208,239,187,139,86,99,241,240,240,240,238,191,198,202,206,211,213,217,223,225,224,238,241,200,183,142,150,252,255,235,190,126,85,105,240,239,239,237,238,192,197,200,206,212,215,218,222,225,224,236,255,224,183,171,218,255,253,227,173,117,88,113,245,239,239,237,237,192,197,200,206,212,215,218,222,225,227,226,253,235,221,207,236,255,235,206,158,112,102,104,241,241,239,239,238,192,198,203,207,210,214,219,222,224,227,228,243,242,237,230,221,255,219,193,158,139,128,104,237,240,239,240,240,188,194,201,208,214,219,223,227,230,233,236,240,248,247,242,200,236,214,202,174,166,131,116,246,243,242,242,242,112,116,122,128,134,138,143,151,156,160,159,181,251,249,235,204,204,208,217,193,158,111,123,231,229,233,234,238,102,104,104,104,101,99,98,101,103,102,105,104,212,234,214,203,192,199,233,199,146,107,100,117,121,124,129,131,109,109,111,112,112,117,118,116,115,115,119,105,156,227,199,202,201,204,219,193,141,101,110,117,113,115,113,112,105,106,108,108,108,110,112,116,115,112,112,110,123,218,215,204,211,202,199,198,140,100,119,128,124,128,127,129
18,52,55,57,60,64,70,73,79,84,90,96,99,103,105,107,109,111,115,116,118,120,123,125,126,128,129,129,131,52,55,58,62,66,71,73,78,85,91,96,101,105,106,107,109,113,116,117,119,121,122,124,126,128,128,130,132,53,55,59,62,65,71,74,79,86,92,96,102,105,106,108,110,114,117,117,120,123,124,126,127,128,130,132,133,54,56,60,62,66,71,74,80,87,92,98,102,106,108,109,111,113,116,120,122,124,126,128,129,128,130,132,134,54,56,59,63,68,72,75,80,87,95,100,103,106,108,111,111,119,117,106,118,127,123,121,132,133,132,133,135,54,56,60,63,69,73,75,81,87,95,102,102,108,114,104,114,150,108,82,75,129,132,98,89,133,134,134,136,55,57,60,62,68,73,77,84,89,97,101,98,153,122,81,120,140,111,107,110,150,131,96,65,77,136,135,136,55,57,60,62,69,74,76,84,87,99,95,129,173,122,90,133,136,116,125,131,131,107,101,93,53,106,143,136,56,59,60,63,69,75,79,80,102,142,96,103,159,122,114,110,120,109,115,117,101,93,108,102,77,73,145,138,57,59,61,65,70,74,80,74,156,157,117,82,127,143,116,88,88,103,85,91,70,109,114,107,98,61,108,150,57,59,62,64,71,75,73,92,174,155,137,110,91,151,119,90,72,129,84,49,63,135,119,120,112,84,61,130,57,59,61,64,70,77,68,117,146,148,151,128,73,111,129,94,57,117,114,70,31,107,123,133,123,95,69,68,58,60,62,67,71,78,68,128,115,111,140,107,69,68,109,81,51,74,89,54,43,107,140,148,126,99,81,62,58,59,61,67,71,77,67,145,140,106,118,69,59,44,68,64,39,42,40,74,147,151,134,134,119,98,84,72,58,60,62,65,72,75,70,156,144,119,121,63,55,34,58,62,30,13,84,161,156,141,134,116,101,89,82,66,57,60,62,65,72,72,87,169,140,113,104,71,51,25,56,54,25,70,164,167,158,141,123,105,84,76,71,71,58,60,61,66,71,72,83,184,158,135,122,98,71,59,60,57,81,154,170,167,156,130,114,95,75,70,60,102,59,60,62,67,71,73,81,182,167,149,136,113,96,100,93,99,148,169,168,162,142,119,103,87,72,64,62,135,57,60,62,67,72,75,79,181,175,155,135,116,107,111,109,131,162,163,161,148,127,110,94,80,71,57,85,153,58,61,62,67,72,77,77,176,174,155,137,124,121,117,122,145,158,162,149,130,119,102,86,79,73,53,118,153,59,61,63,67,72,78,75,160,175,159,144,136,131,129,135,147,150,152,132,114,107,92,80,73,66,68,147,148,59,61,63,69,74,79,75,136,177,162,159,147,134,129,132,136,135,132,119,105,95,83,74,72,56,108,153,145,59,61,64,70,75,78,79,111,175,167,171,156,139,125,115,116,118,115,112,95,84,76,71,62,65,144,148,148,59,61,64,70,73,78,86,87,161,167,161,155,139,120,108,104,108,107,105,90,76,74,72,51,102,153,146,149,59,60,64,69,74,77,89,86,127,165,142,139,132,117,104,102,105,108,107,93,79,75,66,53,135,149,148,151,59,61,64,70,74,76,85,92,100,154,141,125,116,102,102,107,94,99,103,92,77,73,56,72,150,145,148,151,58,61,65,70,73,78,87,97,94,136,130,112,115,106,117,120,95,91,102,92,76,72,50,89,155,145,148,150,56,60,64,69,72,78,86,95,96,122,138,120,127,116,113,116,99,84,96,92,77,68,47,81,154,147,149,150
22,128,131,137,145,152,159,164,166,170,174,177,180,183,184,187,189,189,191,190,190,190,191,189,188,189,188,188,187,129,132,138,147,155,161,165,168,172,176,179,183,185,187,189,190,191,193,193,193,193,193,192,191,191,191,190,189,129,133,138,148,156,163,167,170,174,179,183,186,188,188,191,193,193,194,195,195,195,195,194,195,194,193,193,192,130,134,139,149,157,165,170,171,175,180,185,185,191,191,193,195,195,197,197,198,201,199,198,197,196,198,196,195,131,134,141,150,159,168,172,173,177,182,185,206,171,186,197,196,198,199,202,193,183,203,200,199,199,183,196,197,131,134,141,152,161,169,173,175,179,182,194,230,151,172,202,197,200,200,217,182,138,205,201,209,199,137,176,204,131,134,142,153,162,169,173,176,181,183,197,235,160,167,206,199,202,206,219,163,139,211,204,218,192,132,189,205,132,134,142,154,164,171,174,177,184,186,195,239,177,162,207,203,203,216,218,144,166,214,220,212,155,149,210,202,132,135,144,155,165,173,176,179,185,188,196,244,194,156,207,205,206,212,201,134,187,218,228,202,143,189,211,205,133,136,145,157,166,173,177,180,186,191,196,239,198,151,201,207,210,219,185,125,207,227,206,170,153,212,208,207,133,136,145,157,167,174,179,181,187,194,194,234,216,161,190,210,218,234,172,129,241,238,199,138,184,216,209,209,133,136,146,157,167,176,180,183,189,196,194,231,228,176,181,216,217,224,131,162,255,230,181,141,214,211,213,211,133,136,147,158,168,177,181,183,190,197,196,215,223,166,145,202,207,212,187,227,234,210,143,165,224,213,214,212,135,137,147,159,169,179,182,185,191,197,199,199,221,163,167,209,215,221,238,233,218,172,126,206,220,215,214,214,134,137,148,161,171,179,183,186,190,201,215,174,210,186,189,232,211,227,226,227,198,136,163,228,217,218,215,215,134,137,149,161,171,180,183,187,188,220,223,195,180,185,171,194,211,227,222,206,175,131,197,227,219,219,217,217,135,138,149,161,171,181,185,189,192,216,215,217,208,205,168,120,170,205,203,173,163,129,210,226,221,221,219,218,135,138,151,161,172,181,185,189,192,210,221,199,206,195,162,145,124,133,157,155,145,130,223,226,223,222,220,219,134,138,151,162,175,182,185,190,191,216,215,196,180,172,183,172,150,126,122,118,139,127,221,227,224,222,222,221,135,138,151,164,174,182,187,191,194,212,248,221,176,168,180,189,170,152,147,123,111,120,215,228,224,223,223,223,135,139,151,163,174,183,186,190,195,206,255,213,196,194,217,226,185,165,157,118,101,112,218,228,225,224,223,223,134,138,151,164,175,183,187,190,197,203,254,223,203,225,247,238,201,173,154,117,99,123,229,226,226,225,224,224,134,138,151,164,176,185,187,190,198,201,247,232,205,222,247,218,199,163,147,122,94,144,238,226,227,226,225,225,133,138,151,164,175,183,187,192,200,199,236,243,220,215,247,206,201,184,147,123,93,152,240,227,229,227,225,225,131,137,152,164,176,184,186,191,199,201,223,245,227,203,240,213,195,188,148,116,92,167,240,228,229,228,226,225,129,136,151,164,175,183,185,191,199,206,219,241,229,191,220,209,183,171,134,109,99,200,236,228,229,227,226,225,129,135,151,164,175,183,186,192,201,196,171,221,221,177,179,179,156,140,117,107,120,228,231,229,230,227,227,226,128,134,150,163,175,183,186,190,206,141,62,188,208,161,170,175,161,137,124,103,145,241,229,230,229,228,227,227
12,174,175,177,178,179,178,179,179,180,181,180,179,179,178,179,178,177,175,175,174,173,173,171,170,169,168,166,164,176,179,179,180,180,181,181,181,181,182,182,181,180,179,169,157,163,176,176,176,175,174,171,171,170,169,167,165,177,179,180,181,182,182,183,183,182,182,179,169,173,175,143,118,106,154,179,175,174,174,173,172,172,171,168,166,179,181,181,182,182,183,183,184,183,183,166,131,117,143,147,124,99,108,155,139,130,151,174,173,172,171,169,167,180,182,182,183,183,185,184,184,183,188,165,136,109,104,153,135,110,93,94,111,101,90,150,176,174,172,170,168,181,182,183,183,185,185,186,186,185,193,175,149,126,96,150,142,119,95,74,104,99,71,105,176,176,173,171,170,182,183,183,184,186,186,186,186,190,194,187,157,131,97,130,144,122,98,67,100,98,73,83,174,176,174,173,171,184,185,185,185,186,186,187,186,192,177,190,163,133,102,108,143,124,99,67,90,102,76,84,174,176,175,174,173,184,185,186,186,186,187,185,183,171,131,158,165,130,105,95,143,126,102,72,83,101,76,98,178,177,176,175,174,184,185,186,186,187,186,185,184,155,110,104,156,134,102,80,139,136,110,81,67,88,71,126,181,179,177,176,175,185,186,187,187,188,195,193,175,136,103,79,136,132,95,72,134,157,130,93,63,76,67,143,182,180,179,177,175,186,187,188,188,195,193,174,162,129,110,81,117,133,105,82,138,169,136,94,70,83,77,158,183,181,179,177,176,187,187,188,189,201,184,151,156,134,117,86,95,141,133,97,113,144,112,76,70,87,75,145,185,182,179,178,176,187,187,187,193,190,167,134,129,137,116,86,77,145,144,110,67,63,61,59,81,85,60,96,182,183,180,179,178,188,188,189,193,183,157,130,102,124,120,97,70,123,137,105,63,49,72,82,82,68,59,73,173,184,181,180,179,186,188,190,192,191,169,144,114,104,126,99,69,59,98,102,74,85,104,115,101,75,65,84,176,184,183,180,179,188,190,191,193,195,176,150,124,99,111,96,82,55,107,152,138,130,124,126,106,79,58,118,186,185,184,181,179,189,190,192,194,197,182,157,133,107,92,102,106,88,152,181,169,148,131,122,101,74,57,148,189,186,184,181,179,189,190,192,195,191,176,155,132,108,93,96,110,129,178,179,164,143,127,112,95,67,65,169,188,186,184,182,180,190,191,193,193,181,168,154,132,106,107,93,122,163,177,170,154,136,120,104,88,61,107,187,187,186,184,182,181,190,192,193,191,180,169,156,130,109,119,110,153,171,172,164,145,128,112,96,74,75,169,189,187,186,185,183,182,191,193,193,193,184,169,158,136,118,116,119,160,165,168,159,139,117,101,87,61,115,192,190,188,187,186,184,182,191,193,194,194,186,173,161,143,123,107,117,157,158,159,146,128,105,90,73,61,162,194,192,189,187,187,185,184,190,193,194,195,191,180,162,142,122,103,111,145,149,144,131,111,92,78,58,103,191,194,191,189,188,187,186,185,191,193,195,195,193,179,160,143,126,112,112,136,140,128,115,100,82,65,68,168,194,193,191,189,188,187,186,185,192,193,195,195,195,174,151,138,125,120,115,130,139,127,110,95,76,56,133,194,194,192,191,189,188,187,187,186,193,194,195,195,195,172,153,145,137,134,125,130,137,124,105,87,65,91,187,196,194,193,192,191,189,187,187,187,193,194,194,191,192,173,157,154,147,138,130,131,134,118,91,76,62,147,198,196,196,194,193,192,190,188,187,186
13,171,174,178,180,182,183,185,186,188,190,190,190,191,193,192,193,193,193,192,192,191,189,188,187,187,186,185,184,172,175,179,181,183,184,186,188,190,192,192,192,193,193,193,193,193,194,194,194,193,191,190,190,189,189,187,185,172,176,180,183,184,185,187,190,192,193,194,195,195,196,197,198,200,195,195,200,198,192,193,192,191,190,189,188,173,177,181,183,185,187,188,191,193,193,195,197,197,197,193,172,170,201,193,172,175,197,194,194,193,192,191,189,174,177,182,185,186,188,190,192,193,194,196,199,197,199,186,155,123,159,174,143,105,156,203,194,194,192,192,190,174,179,183,186,187,188,191,193,194,196,197,199,197,204,206,171,151,105,147,155,112,104,202,196,195,194,193,191,175,179,184,186,187,190,193,194,196,197,198,199,199,201,213,179,150,100,124,155,120,90,191,200,196,195,194,192,176,180,184,187,188,190,194,196,197,198,200,200,201,201,200,178,140,103,99,132,109,82,186,202,196,196,196,195,176,180,184,188,189,191,195,197,198,200,201,201,198,207,195,178,136,112,90,122,104,82,188,202,197,198,197,195,176,182,186,189,190,192,195,197,199,201,202,192,151,143,145,166,163,129,98,136,119,92,198,201,200,199,197,195,178,183,186,188,190,193,195,197,200,201,211,184,138,118,107,162,192,146,103,127,123,77,175,208,199,200,198,197,178,182,186,189,192,194,196,198,200,197,187,180,150,144,106,110,178,138,96,107,104,84,115,208,201,200,200,199,178,183,188,191,192,195,198,197,201,189,129,133,171,149,130,70,79,74,91,106,101,115,95,163,212,199,199,199,178,183,188,192,193,194,196,201,215,173,136,111,158,159,135,103,50,68,80,104,131,133,113,109,208,202,201,199,177,183,188,192,193,195,196,212,192,166,150,135,122,159,139,123,69,83,122,131,145,137,122,90,191,207,201,200,179,184,188,192,193,195,199,214,171,160,159,138,114,140,142,114,74,83,155,170,160,125,115,91,193,207,202,202,180,184,188,193,194,195,200,211,178,135,136,132,114,98,117,91,74,98,165,167,162,130,97,103,208,205,204,202,179,185,190,193,196,196,200,202,185,157,125,108,84,59,94,107,91,133,184,165,155,129,84,128,217,203,204,202,181,185,190,194,195,197,200,203,201,178,145,118,102,93,104,114,122,188,186,158,142,123,78,159,217,205,205,203,181,186,191,195,195,199,200,200,198,186,162,149,129,127,140,159,181,195,174,152,132,114,81,188,212,206,206,204,180,186,191,194,195,199,200,201,194,179,163,143,125,125,147,196,190,179,161,143,124,99,93,209,210,207,206,205,180,186,191,194,195,198,200,204,183,168,162,144,130,132,138,180,182,172,151,130,117,86,113,220,208,209,207,205,180,186,191,195,197,199,201,207,188,171,163,147,142,136,137,175,180,170,144,119,109,72,156,221,209,209,207,205,180,187,192,195,196,198,200,206,204,172,163,156,145,132,129,160,170,156,128,106,88,86,208,212,210,208,207,205,181,187,192,194,196,198,201,204,209,193,166,156,141,132,125,143,157,144,117,104,70,148,222,209,210,208,207,206,181,186,192,195,196,199,201,204,206,209,184,156,138,127,128,135,150,141,117,99,79,198,215,211,210,210,207,205,181,186,191,194,196,197,201,203,205,206,193,167,152,145,148,144,147,144,113,88,115,217,210,210,210,208,207,205,179,184,190,193,194,196,200,202,205,199,197,175,165,163,157,149,147,136,110,82,148,221,209,209,208,207,206,204
23,172,174,178,180,181,182,183,184,184,186,187,186,186,185,185,186,187,187,187,187,186,187,187,186,187,185,186,185,174,176,179,181,182,184,184,186,187,186,186,186,187,187,188,188,188,188,190,188,188,188,188,188,188,187,187,187,177,179,181,184,184,186,187,187,190,188,188,189,189,189,189,185,177,181,189,190,189,191,191,191,191,190,189,188,178,180,183,185,186,188,189,190,190,192,193,192,191,200,209,192,170,156,164,156,184,193,194,194,193,193,192,190,180,182,185,187,188,190,192,192,192,194,194,194,204,210,196,175,155,151,136,116,184,195,195,195,195,194,194,193,181,184,186,188,191,193,193,193,193,194,196,207,206,168,162,133,142,146,147,175,195,196,197,196,197,197,197,197,183,186,188,190,192,194,194,195,196,195,196,202,179,133,128,164,196,197,197,197,198,199,199,198,199,199,199,198,186,188,190,193,193,195,196,196,198,197,197,194,163,147,131,201,200,199,194,190,199,200,201,202,201,201,200,200,188,189,192,194,195,197,197,198,199,200,200,193,170,163,123,200,200,206,190,133,179,200,203,202,203,203,201,201,188,192,194,195,196,198,199,200,201,201,199,201,183,166,149,209,220,213,185,123,143,202,203,204,203,203,202,201,190,194,195,196,199,200,200,201,202,202,200,205,194,201,218,217,203,197,177,103,110,160,170,205,205,203,203,202,191,193,196,197,200,200,201,202,203,202,201,201,206,215,209,203,204,192,151,100,62,122,128,200,206,205,205,204,193,194,197,199,200,201,202,203,204,203,200,201,207,215,216,201,197,184,113,85,49,90,92,128,202,208,207,206,193,195,197,200,200,201,203,204,204,207,205,204,206,208,203,197,197,171,102,77,50,73,82,77,130,209,207,207,195,196,198,200,201,203,204,206,206,211,214,200,201,202,201,198,182,137,95,79,54,63,80,85,88,203,209,208,195,197,199,201,203,204,205,206,207,206,210,203,204,203,192,168,128,90,96,82,57,58,77,83,130,209,209,208,196,198,199,201,204,205,206,207,208,201,206,202,199,182,155,114,68,72,94,79,52,69,86,90,189,212,211,209,195,199,201,202,205,206,206,207,209,202,204,199,194,180,134,92,58,84,81,55,51,71,87,141,211,212,212,211,195,198,200,203,205,206,207,208,209,203,201,198,199,181,112,73,55,64,53,49,61,74,92,194,214,213,213,212,195,198,199,202,202,204,206,207,207,201,199,197,201,165,112,84,51,49,54,64,78,79,130,212,214,214,215,214,196,199,200,202,203,205,206,206,207,200,199,203,203,169,120,92,56,54,75,89,93,86,173,216,216,214,214,214,195,198,201,202,205,206,206,206,207,200,197,209,201,170,130,99,72,60,86,97,99,89,191,215,215,214,213,213,195,198,201,203,206,206,207,206,207,199,192,209,199,170,134,103,82,62,89,99,98,100,207,215,215,214,213,213,195,198,201,203,205,206,207,207,208,197,192,204,195,166,131,101,85,67,87,99,94,130,215,215,215,215,215,214,196,199,201,203,205,207,208,208,209,189,190,200,190,160,129,100,84,74,80,94,92,185,215,214,215,215,215,215,192,195,199,200,203,205,206,207,207,185,201,200,181,155,125,100,85,79,75,89,152,213,216,216,216,216,215,212,127,132,137,140,143,145,149,154,155,172,212,204,177,146,119,100,86,82,77,139,195,202,204,208,208,205,201,200,101,102,104,104,105,106,108,106,103,183,220,205,174,138,118,100,85,83,89,109,125,141,151,175,188,182,185,184
12,70,74,79,86,100,113,121,127,133,138,139,142,144,146,150,152,156,158,159,160,161,164,165,165,165,165,166,167,70,75,81,87,102,116,122,128,134,138,140,143,145,148,151,153,156,159,160,161,164,165,166,166,167,167,168,168,72,76,82,88,103,116,124,131,135,138,141,144,147,149,153,158,157,161,155,162,165,167,168,168,168,170,170,170,72,78,84,91,106,117,125,131,136,139,144,145,147,162,131,129,165,170,121,115,167,164,169,171,170,173,172,172,73,78,84,93,108,119,126,131,136,142,145,143,171,182,140,106,147,172,131,90,118,127,115,163,174,173,173,173,74,78,86,93,109,121,128,134,139,144,147,143,194,193,152,120,128,174,146,113,85,123,96,113,175,175,175,175,74,80,87,95,112,122,128,135,140,145,147,150,200,211,170,126,122,181,146,115,76,117,112,80,160,178,176,176,75,82,88,98,114,124,130,137,141,144,145,157,182,196,182,126,113,187,145,108,72,115,108,80,162,179,179,178,77,83,89,99,115,124,132,137,141,140,152,163,170,157,160,114,91,156,132,96,73,117,101,89,173,181,180,180,76,83,90,101,116,124,131,137,142,186,202,139,100,99,139,98,75,126,103,84,77,110,93,106,185,181,181,181,78,84,90,103,118,125,132,133,170,220,177,125,100,72,124,109,71,111,105,84,78,104,88,116,187,182,182,182,78,84,91,105,118,125,135,136,192,168,157,134,113,76,106,132,75,108,135,95,90,135,104,124,188,183,183,184,79,85,92,106,119,126,133,144,194,150,137,146,118,92,54,78,50,77,114,89,96,144,112,77,147,189,185,185,79,86,93,108,121,127,131,154,193,153,123,139,112,96,47,38,66,100,103,101,127,115,89,80,100,187,186,186,80,87,94,109,121,127,132,157,206,165,133,112,98,83,43,58,112,152,158,151,142,117,109,96,110,189,187,187,82,87,96,112,122,129,133,163,207,169,145,109,84,84,71,103,156,177,175,159,139,113,103,89,143,190,187,187,83,88,96,114,123,130,133,167,202,175,150,117,103,123,118,160,183,185,176,151,126,110,92,88,172,189,188,188,83,89,97,114,122,131,136,161,194,169,145,121,119,126,126,180,182,183,172,138,117,105,87,115,190,188,189,189,83,89,98,115,122,131,138,152,190,163,143,127,122,117,136,172,175,178,157,127,110,98,86,159,191,188,189,189,83,89,100,116,123,132,140,147,186,161,148,141,128,129,153,169,174,165,140,119,103,90,104,187,190,189,189,190,85,90,101,117,125,134,139,143,173,165,158,153,140,132,152,161,160,142,120,107,97,86,143,193,190,190,192,192,85,90,102,118,126,133,139,142,162,174,158,147,134,120,127,144,142,125,107,98,92,103,182,190,190,190,193,193,86,90,104,118,124,133,139,145,155,182,152,140,126,113,114,123,118,110,98,97,87,149,192,190,191,192,193,193,86,91,106,119,125,134,140,146,151,187,166,139,117,110,118,115,116,110,97,91,107,186,188,190,192,193,193,193,86,91,107,119,126,135,141,147,150,187,180,145,130,129,131,114,116,110,93,79,144,192,189,192,194,194,194,195,87,93,107,119,127,134,142,145,164,199,193,155,144,137,132,112,107,98,88,70,156,193,191,192,194,194,195,195,86,92,109,120,128,136,141,164,194,182,208,165,153,136,128,110,98,89,85,68,159,193,190,193,194,194,196,196,87,93,110,120,128,137,142,198,206,161,181,163,152,133,123,105,88,87,83,70,168,193,191,194,194,195,196,196
21,93,101,113,127,134,141,146,149,153,154,157,163,164,166,168,170,171,173,175,175,175,176,176,177,177,177,177,177,94,103,116,128,136,143,148,149,155,179,125,134,170,166,169,172,173,174,175,177,178,178,178,179,178,178,179,178,95,102,118,130,138,144,149,150,162,191,115,115,174,167,172,174,175,176,176,179,179,179,180,180,181,180,180,180,97,103,119,132,139,145,150,152,162,188,125,111,172,170,173,176,177,177,177,180,183,183,182,182,182,182,182,181,99,105,120,134,140,147,151,154,162,183,130,107,169,172,174,175,178,180,181,178,152,176,186,184,184,183,183,183,100,108,123,134,143,148,151,156,162,184,142,107,166,175,175,178,180,179,185,163,107,153,192,185,186,186,185,185,101,110,125,135,144,150,154,158,162,183,148,107,157,178,177,180,182,185,181,146,110,177,190,186,187,188,188,187,103,112,126,136,145,151,156,160,160,183,151,108,142,183,178,181,182,190,170,124,131,196,186,188,188,188,188,187,102,112,128,137,145,151,157,160,160,192,158,111,135,184,178,180,187,185,156,114,171,194,189,190,190,190,189,189,104,113,131,140,145,151,156,161,161,201,166,120,136,184,179,182,185,168,133,128,195,189,192,192,191,190,190,190,104,116,131,139,147,152,157,160,161,188,154,119,129,186,180,187,184,161,108,163,196,190,192,193,192,192,192,191,105,117,132,140,148,153,162,176,145,163,134,107,125,187,179,185,183,140,121,194,192,192,193,193,193,193,193,193,106,119,134,142,149,147,184,210,146,128,110,97,121,172,172,179,168,110,162,199,192,194,194,194,194,194,194,194,107,120,135,142,150,150,178,185,141,105,91,98,128,162,168,164,128,116,195,192,193,195,195,195,195,195,194,194,107,122,136,143,146,174,194,150,134,110,81,89,116,146,151,136,99,159,200,192,194,195,195,195,196,196,195,195,108,124,136,143,150,214,189,174,151,141,95,83,108,124,136,118,111,193,194,195,195,196,197,197,196,196,196,196,110,125,138,141,168,188,182,200,190,156,109,87,99,109,122,99,146,200,192,195,196,197,197,197,197,197,197,197,111,127,139,141,183,170,177,196,195,135,101,93,91,104,105,91,174,199,195,196,197,197,197,196,198,198,197,197,112,127,137,145,195,162,145,129,155,129,107,98,93,91,97,93,177,199,195,198,198,198,200,199,199,198,197,197,113,129,136,154,190,142,131,129,141,140,116,98,92,93,93,90,173,201,196,198,199,200,201,201,200,199,199,198,114,130,135,163,195,164,160,137,138,170,123,106,99,95,91,91,178,201,198,199,199,200,201,201,201,200,200,199,116,131,134,166,192,177,157,134,195,208,138,125,110,91,90,93,184,199,198,200,200,200,201,201,201,200,200,200,117,131,134,167,204,179,146,154,217,189,146,127,113,91,87,105,194,197,199,200,201,201,201,202,202,201,201,201,118,132,136,164,198,159,151,162,202,163,137,119,113,97,83,123,201,196,199,200,201,201,201,202,202,202,202,201,120,132,139,157,184,155,164,156,190,158,145,116,106,97,81,140,203,196,199,200,201,202,203,203,203,203,202,202,120,132,139,153,170,170,179,155,191,158,145,132,100,94,83,152,205,196,200,202,202,203,204,204,204,204,203,203,119,129,139,146,169,189,164,151,190,151,130,121,98,90,87,171,199,195,199,201,200,201,202,203,203,203,203,203,119,128,139,145,164,185,164,143,167,138,114,102,93,85,92,182,196,195,197,198,199,201,202,202,203,202,203,202
14,141,146,150,154,157,160,161,163,167,167,168,170,171,172,173,173,173,172,172,172,171,171,171,170,170,169,168,167,141,146,151,155,159,161,163,165,167,167,169,171,172,173,174,174,173,173,174,173,173,172,172,171,171,170,169,169,143,147,152,157,160,161,163,166,168,169,171,172,173,174,174,176,176,174,174,173,174,173,172,172,172,171,170,169,144,149,154,158,160,162,165,168,170,171,173,174,174,176,176,178,177,176,176,175,175,174,174,173,173,173,172,171,145,150,155,159,161,165,166,169,171,172,174,176,175,177,183,177,178,178,176,177,178,176,175,175,175,174,173,172,145,150,155,159,163,165,166,170,172,173,175,177,174,205,220,205,205,195,171,158,168,179,175,176,176,175,174,173,145,152,157,161,164,165,167,172,173,174,176,175,184,223,220,219,206,191,179,166,154,152,175,179,175,175,175,174,147,154,158,162,165,168,170,172,175,175,178,174,214,228,201,178,157,134,138,150,143,97,110,170,178,176,176,176,148,154,159,163,166,169,171,173,176,179,178,183,233,219,162,104,90,91,93,109,109,99,92,104,176,179,177,176,149,155,159,163,167,170,173,175,176,179,175,207,234,201,130,75,80,89,76,84,104,127,110,76,126,181,180,178,151,156,160,165,168,171,173,175,178,179,178,234,219,159,88,61,84,91,80,86,90,94,102,115,100,144,180,179,153,158,162,166,170,172,174,175,178,177,201,238,179,110,66,64,64,71,88,87,96,99,110,126,122,134,139,181,154,159,163,167,171,173,175,178,179,183,238,226,162,111,85,81,75,66,91,98,144,128,121,115,159,138,127,182,154,160,165,168,172,174,176,180,177,206,254,215,155,111,97,88,85,87,82,146,191,189,181,164,174,116,132,186,155,161,166,170,174,176,178,181,177,223,252,206,148,108,97,85,86,92,109,188,190,189,187,169,170,114,130,187,156,161,166,171,174,177,180,182,179,232,248,202,139,99,86,78,85,85,147,194,189,191,183,164,163,116,114,186,156,162,167,171,175,177,180,181,181,242,244,203,148,101,80,78,76,67,160,198,191,192,168,156,153,124,113,181,157,163,168,172,176,177,180,181,187,251,239,200,149,102,79,69,68,67,89,161,196,187,153,158,143,121,138,185,158,161,167,171,175,179,182,181,201,254,233,196,150,105,73,64,76,87,86,92,124,136,159,168,144,122,178,187,158,163,168,172,176,180,183,179,218,253,229,191,151,107,73,63,76,86,91,104,107,123,161,154,124,153,191,187,157,163,169,172,177,181,184,180,232,248,222,186,154,111,78,69,79,87,104,125,128,127,150,131,135,189,189,188,155,161,168,172,176,180,182,182,239,241,212,184,168,113,85,85,96,107,125,133,126,122,125,117,174,192,189,189,156,163,170,174,177,180,181,186,239,231,203,195,172,108,98,90,108,123,136,129,120,114,109,144,193,190,190,189,158,164,170,174,178,181,181,190,236,224,206,206,170,123,109,91,112,131,136,123,113,107,152,192,193,193,192,190,157,164,170,174,178,181,182,192,233,225,215,212,178,138,113,95,107,128,130,118,107,126,196,195,193,193,193,191,157,164,171,175,178,182,182,199,241,234,225,217,181,140,115,101,103,121,120,112,107,169,197,195,195,193,192,189,158,163,169,174,178,181,180,204,243,235,230,208,168,133,115,105,105,114,112,106,147,196,195,195,194,193,191,189,156,160,167,171,175,179,178,209,239,233,224,186,151,124,114,109,110,111,110,144,194,195,195,195,193,192,190,188
20,134,137,141,145,146,149,153,154,156,157,158,159,157,160,160,157,158,158,158,157,154,152,152,152,150,148,147,146,135,139,143,147,149,152,155,157,158,160,161,160,165,146,152,165,160,160,160,158,158,156,154,153,152,152,151,149,138,142,146,149,153,157,158,160,161,164,165,159,191,125,104,168,162,162,163,161,160,158,158,157,156,155,154,152,140,145,149,153,156,159,160,162,164,167,167,163,199,133,109,128,139,170,163,164,162,160,160,158,158,158,156,155,142,147,153,155,158,161,164,166,168,168,169,166,197,129,140,144,104,176,165,167,166,165,163,162,161,160,159,158,145,150,155,158,160,163,167,170,171,171,171,169,204,145,144,164,90,169,169,168,168,167,166,165,165,163,163,160,149,154,157,160,162,165,169,172,173,174,175,172,210,157,138,184,93,161,175,171,171,169,168,168,167,167,165,163,152,156,159,163,165,168,172,174,174,174,179,178,206,146,135,192,101,149,182,173,173,171,170,169,168,167,167,165,154,158,161,165,169,172,174,174,181,185,162,179,225,154,141,195,108,138,185,175,176,174,173,173,171,171,169,167,156,160,164,168,170,174,175,174,189,215,166,150,178,147,132,210,124,131,188,175,177,176,176,175,174,173,171,169,157,162,166,169,173,173,181,217,161,150,195,147,104,98,101,191,128,124,189,178,179,179,177,176,177,175,173,172,159,164,167,170,175,174,196,193,181,140,190,184,181,152,100,135,124,116,191,182,182,181,179,177,177,176,175,174,161,166,169,173,178,176,195,179,151,136,150,180,195,194,121,77,96,108,191,182,182,182,180,178,177,177,177,175,162,168,171,174,179,181,190,205,169,118,81,80,111,190,153,84,57,100,193,184,185,184,183,181,180,179,178,177,164,168,174,178,180,184,186,220,180,125,90,78,69,174,191,121,56,86,193,188,187,185,185,184,183,181,178,178,165,171,176,179,183,185,189,213,178,133,98,108,124,186,214,158,88,72,188,192,189,187,187,185,184,183,180,178,168,174,177,181,185,188,191,223,189,135,119,111,156,221,208,162,116,70,184,195,189,188,188,186,185,184,182,180,169,174,179,184,187,191,193,227,193,145,127,129,187,227,187,139,102,70,187,194,192,191,189,189,187,185,185,183,170,176,180,183,189,191,194,226,201,162,146,137,207,217,167,118,76,89,200,193,193,192,191,191,190,188,186,183,173,179,183,187,190,192,194,220,203,163,154,144,215,207,154,110,68,98,206,194,196,194,192,192,192,191,186,184,174,180,184,189,191,195,195,211,204,166,167,148,207,191,139,101,61,104,208,196,198,197,194,193,191,191,189,186,174,181,186,190,193,195,196,205,208,181,180,148,199,175,122,89,54,123,211,197,198,198,197,194,193,193,190,188,175,182,187,190,194,195,199,203,209,187,182,142,183,154,105,84,53,151,211,199,199,198,197,196,195,194,192,189,176,182,188,190,194,197,201,203,216,183,154,123,167,131,110,86,65,190,207,202,202,199,198,197,197,195,192,190,178,183,189,191,195,199,201,205,221,192,151,142,165,120,126,68,119,215,203,205,204,201,200,199,198,197,194,191,178,184,188,193,197,200,199,209,228,208,178,170,147,115,114,56,175,212,203,206,205,203,201,201,199,198,195,193,177,182,186,191,196,200,195,209,211,187,186,169,136,109,88,79,202,206,204,204,203,201,200,200,199,197,196,193,177,182,187,192,196,201,191,215,204,168,166,154,118,97,64,111,213,205,205,205,204,202,200,198,198,197,196,192
2,109,123,129,130,135,140,145,150,153,156,158,156,160,166,169,166,173,176,178,175,176,178,178,178,178,179,179,181,112,124,131,132,138,143,146,151,153,153,158,182,201,199,183,180,182,151,126,176,174,173,180,177,178,179,178,178,113,124,131,135,140,146,150,151,162,183,197,183,155,135,97,95,120,92,58,104,114,93,163,182,177,178,178,177,115,125,132,136,142,150,148,165,220,208,150,107,88,85,69,64,67,67,69,74,62,63,161,183,177,177,177,177,118,128,134,137,145,147,170,223,198,132,68,53,58,59,57,61,57,49,71,88,104,161,182,177,177,177,177,176,120,131,136,140,148,152,222,207,111,70,54,39,57,47,45,52,57,94,160,181,185,184,181,180,180,180,179,178,123,133,137,145,148,169,236,166,76,54,51,52,62,45,59,55,151,192,186,184,183,183,183,184,181,180,181,180,126,135,140,148,148,183,234,145,76,52,43,55,50,55,56,91,199,188,188,189,188,189,190,185,191,161,177,185,129,138,143,151,149,206,223,116,56,44,46,44,38,53,47,155,201,193,194,192,194,196,189,194,195,128,178,191,133,142,145,153,152,228,210,116,76,62,61,46,48,48,90,205,196,198,197,198,198,197,196,208,160,109,196,193,136,145,149,153,167,246,205,129,88,72,58,51,70,54,136,213,199,202,202,201,202,198,198,196,122,130,209,195,140,147,153,154,197,254,199,131,84,71,52,54,66,51,168,212,203,206,207,205,208,191,183,176,93,140,214,199,144,150,155,158,209,251,194,125,82,69,52,54,57,53,179,218,207,209,208,210,206,177,184,150,79,129,218,203,146,152,158,159,209,252,188,120,82,64,53,48,60,66,123,206,203,214,220,216,189,189,184,136,73,163,219,207,148,155,160,161,205,251,189,130,90,67,53,52,71,92,85,111,133,139,177,179,183,191,181,113,120,222,211,213,150,157,164,163,209,249,189,135,94,72,53,58,89,103,102,119,140,142,124,156,189,181,144,98,208,220,215,215,154,158,166,167,221,248,189,140,101,76,53,67,97,95,103,128,148,161,157,145,173,162,92,170,230,219,220,218,157,161,168,170,228,242,189,145,112,81,57,74,96,97,126,147,157,147,145,129,132,105,126,234,220,223,223,222,159,164,173,172,227,234,189,150,120,85,62,77,101,117,148,152,148,134,118,110,94,77,213,231,224,226,226,225,162,166,174,178,228,226,185,156,128,88,69,81,104,124,140,145,132,120,106,88,70,175,239,225,227,228,227,226,165,168,177,180,219,215,181,165,138,92,81,84,102,125,129,134,125,110,88,94,199,241,230,232,230,231,231,230,168,170,180,181,211,209,187,176,142,99,91,84,105,120,126,126,119,91,108,226,244,231,234,234,234,234,233,233,170,174,182,184,213,209,195,175,136,104,98,86,112,116,118,117,93,92,221,243,231,235,235,236,236,235,234,235,173,176,185,192,224,213,192,165,133,113,103,86,106,107,102,85,96,211,245,234,238,237,236,237,237,236,235,235,176,179,186,199,235,214,199,168,133,113,100,88,97,103,71,126,228,245,237,240,240,240,239,238,237,236,237,242,177,181,186,207,237,215,208,168,129,107,96,88,97,75,121,242,243,237,241,241,241,242,240,239,242,251,247,220,179,183,189,210,224,206,192,153,110,94,87,90,84,100,229,240,241,242,242,243,242,242,244,250,234,181,114,67,181,185,191,208,210,198,189,154,104,93,95,101,73,170,245,239,243,244,244,243,243,246,225,154,89,48,38,39
17,179,180,181,183,187,188,189,192,193,192,194,195,196,197,199,200,200,200,201,201,202,202,202,202,201,202,202,202,180,181,182,186,188,188,190,192,193,193,196,196,197,199,199,201,201,201,201,201,202,203,204,204,204,205,205,204,181,182,185,188,190,190,191,193,194,195,197,197,198,200,200,201,202,203,203,202,204,204,204,205,205,206,206,206,182,184,187,188,190,191,193,194,195,197,198,198,200,201,202,202,204,205,205,205,207,205,205,207,205,206,207,207,182,184,187,189,190,192,194,194,196,197,199,200,201,202,203,204,205,205,202,209,205,206,207,207,207,208,208,207,182,185,187,188,192,194,194,196,197,197,200,201,202,202,204,205,204,208,188,167,169,163,211,207,208,208,209,208,184,185,188,189,191,194,195,197,198,199,201,201,202,203,205,206,204,214,210,152,124,143,211,208,209,209,209,209,185,186,189,191,193,194,196,198,200,202,203,203,204,206,205,206,206,214,218,171,118,150,218,208,210,209,209,210,186,187,189,192,193,194,197,199,201,201,202,204,205,203,209,208,208,211,224,189,128,168,220,209,210,210,210,211,186,188,191,193,194,196,199,199,200,201,203,202,207,190,175,212,209,212,224,188,142,195,216,212,212,211,210,211,186,189,191,193,195,197,199,199,201,202,203,205,213,199,158,166,211,224,220,182,145,204,216,213,213,212,212,211,186,189,192,193,196,197,200,200,200,206,196,177,208,215,201,184,163,191,213,184,143,203,217,213,213,213,212,212,187,189,193,194,196,199,201,200,204,227,195,150,188,213,226,214,169,130,179,177,145,202,218,214,213,213,214,213,187,191,194,195,197,200,202,199,214,200,205,179,178,165,200,228,198,139,143,162,139,199,218,215,213,214,215,214,188,191,195,196,198,199,202,199,221,192,165,169,141,111,148,242,213,159,128,142,131,200,219,215,215,215,215,214,189,192,193,196,198,200,202,204,218,182,153,168,147,135,148,238,226,180,129,133,126,197,220,215,216,215,215,215,189,192,194,197,199,201,201,209,223,199,184,175,155,176,163,228,231,190,141,129,127,191,222,215,217,216,215,216,189,192,195,198,199,202,200,218,215,182,176,170,166,184,207,228,213,196,150,124,124,193,222,215,218,218,217,216,190,193,195,197,201,203,201,225,204,179,170,171,178,196,248,226,196,186,148,120,117,195,224,217,218,218,217,217,192,193,194,198,201,203,201,231,207,186,173,173,181,232,241,223,194,176,144,120,118,204,222,219,218,218,218,218,191,194,195,199,200,201,206,234,209,195,174,173,204,246,228,217,186,170,138,117,134,222,218,218,217,218,218,218,190,193,197,200,202,200,212,236,210,202,187,175,222,243,224,215,179,159,136,112,169,227,217,218,218,218,217,217,191,193,197,200,204,201,216,241,213,210,202,183,225,232,217,210,181,148,130,120,207,221,218,220,220,219,218,218,191,194,198,201,203,201,213,245,220,215,208,192,212,227,214,204,176,146,119,154,228,218,219,219,220,220,219,218,192,194,198,201,204,203,209,242,227,211,202,200,203,217,209,212,173,141,116,183,227,217,218,219,220,219,219,219,192,195,198,201,203,206,205,237,223,210,196,198,206,207,208,213,173,139,120,200,225,220,221,221,221,220,220,220,192,195,198,200,203,204,208,236,220,211,197,197,206,205,208,204,166,136,138,221,222,221,221,221,221,221,221,220,192,193,196,200,204,203,212,238,230,212,202,205,211,199,204,192,156,126,177,229,219,221,221,221,221,221,221,220
7,202,202,203,202,202,202,202,202,201,201,199,198,196,196,195,194,192,190,189,188,187,187,185,184,182,178,177,176,205,205,205,204,205,205,205,204,203,203,202,201,199,198,197,197,195,194,192,190,190,188,187,184,184,182,178,180,206,206,207,206,207,208,207,206,205,204,203,202,200,200,200,199,198,196,194,192,191,190,188,186,185,183,180,179,207,207,207,208,208,208,208,208,206,205,204,203,204,203,202,200,200,198,196,195,194,192,190,189,187,185,182,181,208,208,209,209,210,211,210,209,208,207,207,207,205,203,202,201,201,200,199,197,195,194,191,190,189,186,185,183,211,209,209,210,210,212,211,210,209,208,209,209,207,205,205,203,202,201,200,198,197,197,195,193,190,189,187,185,212,212,211,213,212,212,213,213,211,210,209,209,208,207,206,205,204,202,201,201,198,196,195,193,191,190,188,187,213,213,213,214,213,212,213,214,213,211,210,209,208,208,207,205,205,203,203,201,201,200,198,197,194,191,189,188,214,214,214,214,214,214,214,214,213,212,212,210,212,212,212,211,208,209,206,202,199,195,192,189,192,194,190,190,215,215,215,216,216,216,215,218,219,217,212,211,206,198,189,180,171,156,152,155,157,136,141,170,162,187,194,191,216,216,217,216,215,218,217,202,180,164,157,152,153,147,138,135,139,117,124,129,125,123,130,161,137,178,197,193,217,217,217,218,220,210,189,170,152,124,129,136,137,140,137,138,118,113,107,106,105,109,94,113,151,193,200,194,218,217,220,218,195,179,176,171,151,119,114,114,113,117,120,123,121,129,122,100,106,102,98,102,108,116,169,199,217,222,211,179,167,171,172,162,154,140,128,127,129,137,141,140,142,136,127,91,99,104,92,89,79,97,123,200,224,205,172,168,169,170,162,162,164,153,140,136,135,144,135,131,126,117,102,78,78,80,77,80,79,89,151,200,200,176,175,173,171,167,166,172,160,141,103,96,108,111,101,98,103,106,109,124,147,161,173,176,181,186,198,195,171,180,180,174,171,172,171,153,143,119,79,83,87,70,140,190,190,203,211,214,216,213,212,210,205,202,202,204,174,179,178,174,173,167,149,137,135,112,92,74,70,71,76,186,224,213,211,208,205,205,203,200,201,205,186,159,174,173,177,179,172,154,140,129,128,137,134,88,66,74,51,136,224,210,213,209,205,205,207,210,198,135,92,80,171,175,180,174,156,133,126,123,125,138,124,79,69,62,87,206,215,212,211,214,216,210,190,148,103,71,67,73,173,175,171,153,134,124,120,116,114,116,89,68,53,77,204,220,215,216,219,197,163,126,91,71,67,72,63,69,171,163,145,136,133,128,127,114,96,94,87,74,55,96,233,208,203,202,169,106,78,69,72,73,73,74,61,61,152,141,137,134,126,116,103,90,84,98,102,76,57,131,154,99,94,91,77,72,84,70,63,69,70,72,59,55,143,141,135,117,101,95,90,90,95,103,85,68,83,96,60,59,68,58,72,62,66,71,49,60,68,71,57,53,141,135,120,107,102,100,95,90,86,78,75,88,85,80,72,50,68,56,61,57,59,61,45,53,65,68,53,56,126,111,103,104,102,97,86,78,81,83,85,79,71,66,67,49,54,57,50,53,57,52,42,50,64,64,48,56,88,76,82,86,87,87,92,98,81,82,74,68,61,65,60,54,42,55,46,50,54,45,43,49,63,61,45,56,69,105,119,117,115,119,120,99,70,61,68,68,56,60,55,55,37,46,47,47,55,43,44,52,61,59,43,60
19,171,172,174,176,176,178,179,180,180,181,181,181,180,179,178,177,177,178,178,177,177,176,175,175,174,173,172,172,172,174,175,177,179,180,181,182,182,182,182,182,181,181,177,163,160,175,179,178,178,178,178,177,175,174,173,173,173,175,177,179,181,182,182,183,183,183,183,183,182,187,178,146,123,158,180,180,180,180,179,178,177,175,174,175,174,176,179,181,182,183,183,184,183,183,184,184,185,194,179,144,109,140,180,181,181,180,180,179,178,176,176,176,176,178,180,182,183,184,185,186,185,185,186,185,187,196,176,143,106,131,179,182,182,181,181,180,179,178,178,178,178,180,182,184,185,186,187,187,187,187,187,187,190,195,168,134,100,126,179,183,182,181,181,181,178,179,179,179,180,182,184,186,187,187,188,188,188,188,188,188,192,193,159,125,105,135,179,180,180,178,188,188,170,177,180,180,181,183,185,187,188,189,189,189,188,189,189,189,192,191,168,151,155,172,182,178,184,181,197,193,154,173,181,181,182,184,186,188,189,191,191,190,191,192,196,198,196,189,181,178,187,191,182,173,176,171,168,159,152,177,182,182,184,186,187,189,191,192,193,193,198,204,209,210,204,190,176,168,164,158,150,141,140,140,142,153,172,183,184,184,186,188,189,191,193,199,200,199,205,211,211,206,196,186,176,165,136,114,128,142,154,163,174,181,185,186,185,184,188,189,191,192,199,211,208,203,202,203,203,200,197,194,191,182,142,113,161,182,186,187,188,188,187,186,186,185,189,190,192,194,205,216,211,205,202,204,207,207,203,198,193,177,136,105,161,190,191,190,190,189,188,187,186,186,190,192,194,195,205,216,208,202,204,209,211,209,202,195,190,171,126,91,136,187,192,192,191,189,189,188,187,187,192,194,195,196,205,210,199,194,198,203,204,201,196,197,198,187,137,87,108,177,194,193,192,191,190,189,188,188,193,195,197,198,206,202,192,191,190,185,189,199,204,200,197,189,139,85,89,162,194,195,193,193,192,191,190,189,194,196,198,199,205,196,193,195,193,188,198,204,198,190,185,171,126,83,80,152,195,196,195,194,193,193,192,191,194,197,199,200,203,205,206,205,206,208,207,199,190,183,175,156,116,80,87,162,196,196,196,196,195,194,193,192,195,197,200,200,202,214,216,207,203,202,196,186,180,180,185,179,138,87,122,186,198,197,196,197,196,195,194,193,196,198,200,201,201,210,214,202,193,184,169,168,187,199,199,192,153,98,140,195,199,198,197,198,197,196,195,195,197,199,201,203,202,202,206,198,191,182,178,191,204,196,181,170,138,92,126,193,201,200,199,199,198,196,195,195,197,199,202,204,205,201,202,208,206,199,200,202,193,177,162,145,118,94,141,197,202,201,200,199,198,197,196,195,197,199,202,205,206,202,200,209,208,194,191,188,175,157,135,113,119,144,183,202,203,202,202,200,199,198,198,196,197,199,202,204,207,202,196,201,198,182,175,166,148,125,99,91,152,195,202,204,203,202,202,201,200,199,198,197,197,199,201,204,206,201,190,192,188,168,156,141,120,97,80,83,148,201,204,203,203,202,201,200,199,199,198,197,198,200,202,204,206,202,187,184,180,159,144,133,115,89,77,77,125,196,204,203,203,201,200,200,200,199,198,197,199,201,203,205,207,202,186,179,173,156,137,120,102,84,76,75,119,195,205,204,203,202,201,201,201,200,198,197,200,202,204,206,207,201,186,181,171,160,139,115,95,84,78,75,123,198,206,205,204,202,202,202,201,200,199,198
20,61,64,68,76,93,108,114,119,128,133,137,141,145,152,145,155,158,154,156,155,155,155,155,154,154,154,152,150,61,65,69,78,97,112,118,123,133,138,142,147,148,177,123,120,151,159,160,159,159,159,159,158,157,157,157,155,62,66,70,81,100,115,121,128,138,144,149,153,154,191,133,122,124,128,172,163,164,163,163,163,161,160,161,160,63,68,71,84,104,117,123,131,142,148,152,158,158,196,135,126,158,87,166,171,168,168,167,167,165,165,165,163,64,68,71,85,105,119,125,134,145,151,157,162,163,193,132,110,174,81,138,181,172,173,173,171,170,169,168,167,64,68,71,88,107,122,128,136,147,154,159,165,167,193,155,98,169,103,113,186,176,177,176,175,174,174,172,171,65,69,72,91,110,123,129,138,150,157,161,167,168,197,161,93,168,132,98,184,182,181,180,179,179,178,177,175,66,69,73,92,110,125,131,141,152,159,165,171,171,200,150,89,161,138,88,179,187,184,184,183,182,182,180,179,67,69,74,94,112,127,132,143,154,162,168,174,174,208,163,90,162,162,90,171,192,187,188,187,186,185,184,183,66,69,75,95,114,129,134,145,156,164,169,174,176,199,158,87,151,174,97,161,197,189,190,189,189,189,188,185,67,70,76,97,116,130,135,148,159,165,173,173,150,182,120,75,145,170,95,149,203,192,193,192,192,191,188,187,67,69,77,98,118,131,137,150,161,167,180,202,178,174,150,76,127,163,90,135,206,194,194,192,193,196,201,196,67,68,78,101,121,133,139,151,161,165,181,217,205,142,148,129,100,107,79,125,204,193,201,206,200,183,143,86,68,68,79,102,123,134,140,152,172,160,156,163,195,153,92,121,135,94,60,99,212,202,175,132,96,63,38,40,66,68,81,104,123,135,142,151,192,209,171,109,145,191,110,66,117,131,85,69,145,94,53,39,37,48,53,49,64,65,81,105,124,135,142,154,184,185,196,143,91,175,181,80,86,139,135,86,43,35,37,43,42,35,51,46,63,64,80,105,125,135,141,157,175,118,127,159,135,140,183,106,85,129,147,122,67,36,38,30,48,35,38,47,62,64,81,106,126,136,144,158,185,155,107,95,146,135,94,86,80,89,136,135,99,52,42,29,33,43,33,39,58,59,80,107,128,138,146,160,190,163,104,87,95,105,100,117,122,112,136,131,113,72,28,46,27,34,34,35,87,88,94,104,117,124,132,138,176,156,117,112,114,125,141,160,184,187,158,107,103,71,10,40,41,27,33,30,92,93,93,90,93,94,98,89,138,189,156,120,118,145,163,192,208,188,152,104,86,61,4,24,46,36,33,26,93,95,97,99,99,99,102,97,118,194,167,136,120,154,163,198,206,183,147,105,83,60,11,11,38,39,37,30,95,97,97,99,99,101,103,101,105,187,184,161,121,159,162,193,196,167,137,107,83,60,24,4,27,39,37,34,95,95,96,96,97,99,101,104,98,168,191,171,127,158,159,172,189,166,133,105,83,51,36,6,13,37,36,33,94,94,96,96,97,98,99,102,96,134,187,174,139,162,144,149,173,175,134,100,83,39,39,18,2,30,36,29,94,95,96,95,98,98,99,101,102,102,166,184,155,163,139,128,161,166,125,91,76,29,38,31,3,13,37,25,94,95,96,96,97,98,99,99,102,98,121,181,165,155,139,112,134,143,113,92,58,2,34,39,18,2,27,32,93,94,95,95,96,97,98,98,99,102,97,163,174,151,132,115,110,126,112,96,30,0,20,41,28,7,11,31
15,161,165,168,171,145,136,138,141,130,94,143,150,93,49,91,109,109,114,118,122,128,141,149,154,160,164,168,171,162,166,169,170,144,140,139,145,124,100,147,152,83,54,96,108,110,114,119,124,129,142,150,154,161,165,168,171,163,167,170,169,143,143,142,149,115,108,150,147,74,60,100,107,111,114,119,124,130,143,150,154,161,165,169,172,165,168,171,166,142,141,140,152,107,117,152,145,64,64,102,107,111,116,120,124,131,143,149,155,161,164,170,173,166,170,172,165,163,155,145,145,108,125,152,138,52,65,104,107,112,115,120,125,132,145,150,156,163,166,170,173,165,171,173,168,159,161,159,154,147,143,146,132,90,89,108,108,110,114,121,124,133,147,151,157,163,167,170,173,167,171,175,161,142,138,128,141,146,148,150,155,155,145,142,137,132,127,124,124,136,150,152,158,164,167,171,175,168,172,176,158,146,142,121,120,127,122,132,156,150,150,148,151,158,158,142,130,129,134,153,158,164,168,172,176,169,173,176,157,149,150,154,135,101,126,115,138,141,137,133,138,158,171,161,141,134,108,128,162,164,168,171,175,170,173,175,155,149,149,157,130,102,159,153,101,109,134,122,142,168,170,161,153,149,124,105,148,168,169,172,176,171,175,176,153,151,151,160,122,107,159,163,79,55,101,128,176,167,170,173,170,163,143,119,114,165,170,173,176,172,175,176,153,154,150,163,124,118,159,159,68,54,107,143,187,143,169,178,183,179,152,126,105,130,175,173,176,173,177,172,154,155,162,155,140,145,142,143,76,110,166,156,130,134,171,180,187,178,151,130,118,102,154,178,176,174,179,171,153,159,165,147,152,164,161,139,124,140,141,132,101,126,196,174,162,163,152,140,123,105,114,177,177,174,179,168,153,161,151,126,139,162,164,139,127,138,135,136,142,154,156,138,139,152,153,137,121,114,97,143,184,175,180,167,157,161,161,139,122,150,151,129,133,143,140,145,154,155,136,118,124,139,139,129,118,114,104,103,168,176,180,166,161,162,163,157,103,152,128,115,128,135,138,144,154,146,127,116,116,125,126,127,125,118,111,99,116,176,180,166,162,163,167,145,105,171,115,94,104,117,121,135,146,144,127,117,118,122,121,127,130,121,117,109,98,177,181,165,164,163,171,138,132,135,101,92,78,124,134,113,131,132,124,122,124,123,124,126,128,121,116,111,104,177,179,164,166,163,167,164,124,99,94,85,56,169,175,109,125,127,122,125,131,133,131,129,124,122,119,112,107,178,178,164,168,163,174,158,104,87,112,77,47,138,177,132,128,153,145,150,152,143,134,128,121,120,122,119,109,179,177,163,169,167,172,122,93,117,164,72,56,98,144,155,116,126,155,151,148,142,131,124,119,118,120,122,116,181,175,163,172,168,179,108,130,178,165,61,61,106,109,126,111,97,131,145,136,134,126,122,121,122,124,123,120,181,176,166,174,172,182,103,155,183,161,55,65,109,112,110,112,114,127,158,134,124,124,121,124,129,128,121,118,181,173,169,175,175,179,99,160,186,154,49,69,111,111,112,114,118,118,145,168,140,116,116,117,122,128,128,121,180,171,172,176,177,173,99,169,187,142,46,73,111,110,110,113,116,121,121,162,181,151,130,115,117,128,138,127,180,172,175,177,181,165,104,176,190,130,46,80,113,109,109,111,117,120,124,138,175,151,136,144,142,147,141,132,181,175,178,178,184,157,106,179,191,119,46,83,113,108,110,112,116,119,125,137,145,141,153,162,153,156,154,149
1,64,82,83,87,92,105,120,130,133,138,143,145,149,155,156,159,158,160,162,162,162,164,164,165,165,165,166,164,71,82,84,88,93,108,123,132,136,142,147,148,158,174,125,156,164,164,164,165,165,164,165,165,165,166,165,165,77,83,85,89,94,110,126,135,140,145,151,152,168,184,108,124,132,158,172,169,169,169,169,167,167,167,166,166,81,83,87,90,95,113,129,138,143,146,176,152,143,188,110,117,127,124,180,172,174,174,174,173,170,170,169,169,84,84,88,91,98,116,131,139,145,148,189,155,118,183,110,111,141,100,174,179,178,178,178,177,175,174,174,173,84,85,89,92,101,119,134,142,148,151,189,163,111,169,114,107,143,94,162,188,182,183,182,181,180,179,178,177,85,85,90,92,103,122,137,144,150,154,191,164,100,159,130,112,150,104,150,194,185,187,187,185,183,183,182,182,86,87,90,93,106,126,140,146,156,167,171,168,99,132,125,108,155,111,139,200,189,190,190,189,188,188,187,186,87,87,91,94,109,129,143,145,170,169,152,169,101,119,127,96,149,114,134,203,193,194,194,192,192,192,191,189,88,89,92,94,110,132,146,145,189,165,138,167,100,131,139,98,166,136,132,203,196,196,196,196,196,195,193,193,89,90,94,96,113,134,149,149,192,152,128,181,111,123,136,99,165,149,126,204,200,200,200,199,198,197,197,196,89,90,93,97,116,137,151,152,193,148,115,175,116,99,124,107,159,149,114,201,203,203,202,201,200,200,201,199,89,90,93,97,119,139,153,157,197,152,100,156,109,91,117,121,170,149,111,199,207,205,205,205,204,203,203,203,90,91,92,99,121,141,155,159,201,165,94,144,146,139,134,151,173,128,100,188,212,207,207,207,207,207,207,206,90,91,93,100,124,144,158,161,199,164,102,152,185,151,137,145,146,125,90,164,218,207,209,209,208,208,209,206,89,91,93,102,126,147,161,164,199,172,142,146,124,136,129,128,122,132,117,137,219,210,212,212,210,209,210,216,89,92,93,104,130,150,162,166,209,187,146,130,111,130,131,141,132,152,152,121,168,222,211,212,217,221,213,185,89,92,93,106,132,153,163,171,216,186,143,120,117,133,139,188,180,165,182,156,109,189,221,221,199,155,105,71,90,92,93,108,135,155,164,173,216,183,135,116,122,138,164,204,212,174,193,158,99,147,224,137,80,64,60,64,89,91,93,110,137,156,166,173,213,188,136,118,130,145,177,202,218,207,174,128,96,138,128,68,62,59,70,58,87,90,91,111,138,157,166,172,207,193,143,119,133,153,186,209,215,200,161,120,102,84,60,77,75,46,66,66,88,89,91,112,140,160,168,172,203,198,162,124,135,156,188,214,209,186,154,120,99,77,63,55,78,51,47,70,83,85,88,112,141,161,170,174,198,199,176,134,136,155,188,214,197,174,146,116,96,76,67,44,63,68,39,56,98,95,95,116,144,163,172,177,193,195,182,145,138,149,188,204,189,169,136,111,93,77,60,49,46,70,47,42,125,124,125,124,124,131,136,139,147,187,186,152,150,146,178,192,182,160,128,106,87,72,66,49,40,61,58,34,120,120,121,122,121,123,123,125,120,164,190,161,153,145,160,181,170,147,118,99,82,55,69,52,35,54,66,39,122,122,124,125,126,127,128,129,128,136,180,165,153,147,141,163,155,131,107,91,82,57,59,53,37,45,67,52,121,122,123,124,125,126,127,129,130,126,163,173,156,151,136,142,147,123,99,82,84,68,47,36,44,39,63,62
8,186,185,187,187,187,186,188,186,186,184,187,160,165,186,182,181,181,181,179,177,176,176,175,173,172,171,169,167,186,186,187,188,188,188,188,187,187,187,192,137,127,192,182,184,183,183,180,179,177,177,176,175,173,172,171,168,187,188,189,190,189,189,190,192,187,196,187,112,124,193,183,186,186,185,182,181,180,179,177,177,175,173,171,169,189,190,190,193,192,191,192,192,188,201,179,94,144,196,185,186,186,184,184,183,181,180,179,179,178,174,172,172,190,191,192,194,195,193,193,194,189,211,179,101,159,196,188,188,187,185,185,183,182,182,181,179,178,176,174,174,192,193,193,194,195,194,194,195,192,216,159,98,169,195,188,192,189,185,185,184,183,183,182,181,178,177,176,175,193,195,195,193,194,196,196,195,195,212,150,104,176,197,188,150,178,197,189,185,184,184,183,182,180,179,178,174,194,196,197,196,196,196,197,195,201,213,164,141,175,199,200,147,125,162,176,191,184,186,183,183,181,180,180,175,195,196,196,196,197,198,198,193,205,206,177,160,181,191,201,189,146,122,111,137,193,179,190,185,181,180,179,177,196,197,197,198,198,198,200,195,206,202,189,169,201,192,180,205,181,179,141,79,124,123,121,183,185,181,181,179,197,197,198,200,199,201,201,197,218,189,177,189,203,188,148,168,186,169,146,87,54,74,58,122,195,182,183,180,198,200,200,200,202,203,201,205,203,171,180,172,189,170,136,90,175,183,150,98,55,63,64,87,193,184,183,180,199,201,202,202,203,204,201,219,190,155,151,156,187,147,117,51,132,208,156,104,59,80,61,112,196,183,183,182,200,201,202,203,204,201,209,229,202,170,125,131,173,129,90,67,134,216,163,110,58,58,66,176,191,184,184,184,201,201,202,205,205,201,227,225,197,167,138,128,179,168,164,194,180,185,155,114,65,40,151,196,186,186,185,183,201,203,204,206,205,207,234,212,191,171,156,125,146,215,209,188,187,148,140,121,62,122,202,189,189,188,187,185,202,205,204,206,205,216,232,205,195,169,134,133,192,215,190,164,191,131,124,116,60,177,198,192,189,189,188,187,203,205,206,207,204,225,230,204,197,160,137,187,221,202,183,156,173,129,101,85,76,199,194,193,193,189,187,187,205,206,207,208,208,227,227,209,196,157,176,208,213,192,175,147,150,125,87,55,130,209,193,195,193,190,189,188,207,207,209,205,203,233,222,208,187,163,175,200,190,177,157,137,138,101,70,53,183,202,197,195,194,193,191,189,207,205,220,148,82,184,215,190,168,159,167,179,178,161,143,133,113,81,46,98,209,197,199,196,195,193,191,188,205,213,188,81,67,70,145,180,162,161,160,172,176,149,130,108,79,63,48,176,204,199,199,196,195,194,193,190,206,218,113,65,74,68,64,124,167,171,153,168,163,128,105,81,71,40,130,212,199,202,198,196,196,194,193,192,221,159,70,72,65,66,64,35,70,97,114,153,140,93,76,70,42,102,210,202,202,201,199,197,196,195,193,191,191,83,68,68,63,59,70,42,27,42,44,67,80,66,55,38,116,208,204,202,202,201,200,199,196,195,194,191,100,67,69,65,59,57,67,48,16,42,39,28,26,34,21,137,225,201,201,201,201,201,199,197,195,193,193,190,66,61,59,61,58,51,65,41,9,35,34,27,26,21,17,73,169,208,202,202,201,201,199,196,195,194,191,188,71,57,37,89,74,40,63,23,11,30,29,22,21,22,24,0,100,218,201,203,202,202,200,198,196,196,193,189
4,186,186,188,188,188,187,186,186,185,186,186,184,184,183,184,183,180,180,180,178,177,178,177,175,176,174,172,171,189,188,189,189,190,188,186,186,186,187,185,185,185,183,183,184,183,183,181,180,179,178,177,177,175,176,175,173,190,191,191,191,189,189,188,189,189,187,186,186,184,183,185,185,182,182,183,179,178,179,179,177,175,175,176,175,191,192,191,192,192,191,191,191,190,191,189,187,188,190,187,185,187,184,181,181,180,180,179,177,178,177,177,176,193,193,192,192,193,192,191,189,185,177,183,190,165,157,182,182,168,169,187,182,183,179,178,179,178,178,178,176,194,194,194,195,194,192,195,200,173,155,114,133,160,114,93,157,152,100,122,196,185,186,180,181,179,179,178,176,195,196,194,195,195,190,206,212,180,146,94,71,147,114,60,122,147,98,63,105,125,144,184,181,181,180,179,178,197,197,197,196,192,200,212,185,190,127,79,76,141,98,54,118,138,90,71,39,71,65,114,188,179,180,179,178,198,197,198,198,194,203,211,172,188,129,114,71,148,138,51,108,168,119,71,43,69,60,74,189,179,182,182,178,198,197,199,199,196,201,202,153,177,178,153,75,178,172,52,107,216,143,74,49,113,89,95,191,181,183,183,181,199,198,199,199,194,209,225,192,158,169,119,74,178,148,46,94,201,133,72,79,147,138,88,177,186,183,183,181,200,199,198,200,198,220,211,184,155,123,84,56,95,79,95,178,142,132,142,131,139,131,79,120,196,182,184,181,200,200,203,201,203,215,191,164,132,109,97,83,60,48,113,204,152,142,160,148,143,127,111,83,174,189,183,183,201,200,203,199,207,232,210,184,156,106,80,74,69,74,67,143,154,137,152,142,122,154,149,88,126,197,181,184,201,201,204,201,211,232,210,192,150,100,87,77,68,69,76,99,108,120,140,86,123,179,163,117,81,191,185,184,204,204,206,202,218,231,213,193,142,98,97,80,70,77,94,108,118,145,160,141,137,178,173,125,63,161,193,185,204,206,205,202,220,229,213,172,138,111,96,83,67,103,144,172,182,186,175,183,152,131,144,114,62,121,198,183,205,206,206,203,219,229,209,171,150,104,90,101,136,180,192,192,181,179,162,148,154,111,107,99,72,91,197,183,206,207,206,206,222,226,205,175,156,126,124,153,180,196,188,187,177,166,153,136,137,112,96,96,77,74,196,186,206,206,208,203,208,225,209,183,171,140,140,172,171,201,186,179,169,162,149,132,120,105,90,90,53,106,199,186,208,209,212,115,85,114,165,197,168,141,131,166,165,178,175,168,170,152,126,116,109,89,76,53,77,190,191,189,207,220,179,64,69,58,64,81,81,77,87,128,150,162,165,162,154,132,110,106,90,75,47,62,182,197,192,192,210,219,112,66,66,66,66,28,13,36,34,40,64,94,122,153,142,124,106,88,71,43,59,178,199,191,194,192,224,169,63,70,62,61,64,52,3,27,35,32,29,24,30,59,86,95,80,61,34,71,183,202,193,195,195,194,215,99,63,62,54,53,60,58,2,13,29,32,28,27,24,18,20,36,36,27,100,196,202,196,197,196,196,194,151,63,71,54,49,54,59,49,0,10,25,28,24,21,25,24,23,22,0,81,222,198,198,199,197,197,197,194,81,66,45,79,77,31,67,28,0,14,25,24,19,21,21,19,23,16,3,8,166,211,198,200,199,198,197,196,64,56,42,71,101,47,51,5,1,17,19,18,15,17,18,20,21,8,9,0,103,221,197,202,199,198,197,197
6,179,179,180,182,182,183,183,183,184,184,185,185,184,184,182,181,182,182,181,180,180,179,179,177,175,176,174,173,179,181,182,183,184,185,186,186,186,186,187,187,186,186,183,182,183,183,182,182,180,180,180,179,177,176,177,176,181,184,185,185,186,186,187,187,187,187,187,186,187,187,185,184,184,183,183,183,182,182,181,180,179,178,177,176,182,184,186,185,187,188,187,187,189,188,188,188,187,187,186,186,186,185,184,184,182,182,182,181,180,179,178,177,184,186,187,186,188,190,190,191,191,190,190,190,188,189,187,187,186,187,187,185,184,184,181,176,178,185,176,177,185,186,187,188,189,190,191,191,191,191,190,190,190,190,188,188,187,187,186,184,180,171,167,150,182,200,162,172,186,187,188,190,193,192,192,192,192,192,192,192,191,190,186,182,174,166,169,174,168,161,157,145,159,172,141,172,188,189,190,192,194,196,195,194,193,192,188,186,184,178,168,158,138,144,151,165,154,143,126,118,117,132,160,180,189,191,192,194,195,197,197,195,194,187,163,159,147,152,162,155,144,122,128,128,116,103,104,124,149,173,182,181,191,193,193,195,196,198,198,194,189,180,168,164,134,97,117,114,103,87,98,105,128,150,175,185,185,185,184,183,193,195,195,198,199,197,194,178,179,181,181,166,120,78,65,64,74,96,140,178,189,190,188,189,189,187,185,184,196,197,198,199,196,190,185,176,171,175,178,154,107,74,65,69,142,179,192,195,194,193,192,191,189,188,187,186,197,197,196,194,189,184,179,173,165,171,171,161,138,88,66,70,166,197,195,196,196,195,195,193,190,188,188,188,197,196,194,190,185,176,174,172,166,168,172,172,153,101,68,68,85,190,197,198,196,195,195,193,192,190,190,189,194,194,196,188,180,174,173,173,169,170,172,168,153,111,69,66,67,133,200,200,198,197,195,194,194,192,192,191,203,204,198,188,180,175,172,173,170,167,170,171,164,133,77,64,66,75,188,201,199,198,197,195,195,194,193,191,210,205,192,185,183,175,172,171,173,174,176,175,165,130,82,64,62,67,185,202,201,200,199,197,196,195,194,193,206,197,188,187,182,175,172,170,169,163,161,156,142,115,86,68,62,118,203,202,201,201,200,199,197,197,195,193,208,194,183,183,173,171,174,168,162,152,144,140,127,105,90,77,64,115,206,205,203,201,201,200,199,199,197,195,209,200,179,168,167,172,174,170,160,149,141,138,124,98,89,89,71,69,193,206,205,203,202,200,199,200,198,196,189,189,169,154,157,165,165,162,150,137,122,114,94,85,84,92,75,72,192,207,207,205,202,201,200,200,199,197,89,134,140,135,143,153,152,143,127,112,100,87,57,68,82,91,80,147,208,209,208,206,204,203,201,202,200,199,46,59,92,108,120,132,129,114,101,90,82,73,66,80,92,105,167,206,210,209,208,207,206,203,202,202,201,200,42,44,44,52,66,86,94,89,105,126,149,123,104,109,146,191,210,211,210,209,208,208,207,205,205,203,202,200,38,40,38,21,18,26,32,49,188,212,214,211,207,208,212,213,214,213,211,210,209,209,208,207,206,204,202,201,34,34,40,31,12,15,14,96,212,217,217,216,215,215,214,214,213,212,211,212,210,209,208,207,206,204,202,202,31,31,37,36,12,14,20,173,216,216,217,216,215,215,214,214,213,212,211,211,210,209,208,207,206,204,202,202,28,28,38,38,13,13,71,212,216,216,216,216,216,216,215,215,214,213,212,212,211,210,209,208,206,205,203,202
5,183,184,186,187,191,192,192,192,193,191,191,192,191,188,190,189,189,187,186,185,182,181,180,178,177,176,175,173,186,187,189,190,193,194,193,195,194,193,193,191,196,193,191,191,191,190,187,186,184,183,183,181,180,178,176,175,187,190,192,193,195,197,195,195,198,196,196,207,156,185,197,193,193,193,191,189,187,186,185,184,182,180,179,178,191,191,193,195,197,198,198,203,201,198,202,220,117,153,205,194,195,193,192,190,189,188,187,186,184,183,183,180,194,194,195,198,197,207,200,160,209,197,212,214,99,155,206,196,197,195,194,193,192,191,190,187,186,186,182,180,195,196,197,202,197,226,180,108,207,199,217,181,89,185,206,200,200,198,195,197,196,193,192,191,190,188,185,182,196,198,202,200,204,235,131,116,213,204,204,154,101,207,204,204,201,196,211,166,177,200,194,194,192,190,187,186,198,200,204,201,222,205,82,178,219,196,178,130,117,212,207,202,198,215,203,109,149,208,196,196,193,192,190,189,200,202,206,200,242,197,86,207,215,180,160,95,151,221,187,187,195,173,108,116,195,203,201,199,196,194,191,190,203,205,206,206,255,181,91,210,208,171,145,82,192,162,169,198,135,84,139,200,206,202,202,201,197,195,194,192,204,208,208,215,255,139,91,228,180,176,152,99,126,118,151,130,87,160,220,205,205,204,203,202,199,196,194,193,205,209,212,213,245,212,96,178,164,162,128,84,88,107,77,104,178,216,208,209,206,204,203,203,202,199,196,194,209,213,217,213,238,238,136,97,121,127,93,74,107,90,103,213,218,210,210,210,207,206,205,204,203,202,199,195,212,214,218,217,229,237,193,130,110,115,84,71,107,93,190,227,214,213,211,211,210,208,208,205,205,203,200,197,215,217,219,220,222,255,238,175,110,93,94,90,85,175,219,193,199,218,219,216,214,211,209,208,206,205,202,200,217,219,222,223,224,255,237,165,103,84,81,95,97,147,148,160,169,175,189,198,206,217,212,209,209,206,203,202,220,220,224,225,233,255,224,155,88,75,73,95,102,114,159,167,204,195,192,197,199,150,199,216,209,207,206,203,222,223,227,222,246,255,235,167,97,68,69,94,106,101,126,93,142,173,167,187,184,126,179,223,210,209,207,205,223,225,228,225,255,253,231,157,104,72,67,82,82,74,103,109,183,185,162,185,221,158,148,225,211,210,208,206,224,229,225,242,255,242,226,152,104,67,58,72,61,164,233,225,237,231,219,229,178,108,209,220,215,213,210,206,227,229,226,255,250,244,222,154,94,65,63,84,94,109,199,246,221,181,186,202,91,155,236,217,219,215,213,210,227,228,236,255,245,241,211,129,85,60,78,89,102,110,116,169,179,195,186,143,53,200,230,221,220,216,214,212,231,223,255,255,238,239,190,113,85,70,105,126,138,133,111,126,172,184,160,78,96,226,227,225,222,219,216,215,230,106,149,250,253,220,168,113,85,90,121,138,141,124,117,119,159,132,86,136,225,230,228,228,223,220,218,215,130,65,58,102,205,208,160,123,87,98,132,127,119,98,113,97,75,100,191,242,232,230,231,228,222,220,219,216,77,70,67,57,65,116,138,97,68,81,113,109,98,86,75,60,127,231,245,233,233,232,230,228,226,222,221,220,82,64,58,63,57,51,36,29,35,45,64,78,69,55,135,214,250,241,236,237,237,235,232,229,227,223,221,221,67,58,56,54,48,57,22,6,20,19,23,29,47,163,255,248,241,240,240,239,238,236,233,229,228,225,222,221
7,153,158,163,168,172,174,177,179,181,183,185,185,185,185,185,185,185,185,184,183,182,182,181,180,179,177,177,176,155,160,165,170,173,175,178,181,182,183,186,187,189,188,187,187,188,186,185,185,184,183,183,182,181,179,179,178,156,161,167,172,174,177,180,183,184,185,187,188,190,189,189,189,188,188,187,187,186,185,184,183,182,180,181,180,158,164,168,173,177,179,182,185,187,187,189,191,191,191,191,191,191,190,190,188,188,187,186,185,184,182,182,181,160,166,169,174,178,181,184,187,187,190,191,192,193,193,193,192,193,193,193,189,187,187,185,187,186,184,184,183,161,166,171,176,179,183,184,187,188,192,192,194,196,197,196,193,190,184,180,162,179,205,164,185,189,187,185,183,164,168,173,177,181,184,186,190,190,192,194,193,188,179,174,176,173,160,159,148,167,184,138,182,188,185,188,186,165,169,175,180,182,185,187,189,189,188,182,171,157,136,148,163,166,146,135,126,121,137,143,195,206,141,187,188,167,171,177,182,185,187,183,163,159,160,160,158,150,139,125,126,115,118,139,143,141,146,158,181,177,122,186,190,167,172,178,183,188,192,176,159,159,151,142,144,147,134,120,117,133,161,180,162,149,141,130,115,128,166,192,190,168,173,178,185,195,186,169,164,157,129,130,151,163,146,138,130,130,145,151,133,114,102,116,149,181,196,193,192,169,174,183,190,181,176,176,171,138,101,119,132,136,124,121,118,101,109,100,105,130,166,196,200,198,195,194,193,170,180,189,184,182,177,168,170,149,109,103,89,79,73,77,84,94,120,161,189,203,204,200,199,197,196,195,194,185,190,188,188,184,170,164,161,162,140,97,70,50,96,150,164,185,204,207,204,202,201,202,202,200,198,198,197,193,189,184,179,171,165,165,166,163,138,102,77,71,95,175,214,208,207,207,205,204,203,201,201,201,200,199,199,193,186,174,168,162,158,151,147,140,121,96,72,76,74,65,154,213,208,208,206,206,205,203,202,202,201,201,200,187,175,166,158,151,146,141,136,132,121,94,65,68,85,74,86,211,210,209,208,207,207,206,205,203,202,201,201,176,173,160,153,145,142,140,139,139,136,100,65,59,77,76,91,213,210,209,209,208,208,207,207,205,203,201,200,97,150,156,153,146,143,138,137,138,127,95,71,68,54,55,64,170,217,210,210,209,208,207,208,207,204,202,201,38,59,125,156,152,146,137,129,118,102,86,81,77,64,54,57,150,220,212,211,211,209,209,208,207,206,204,203,41,32,41,118,156,144,133,121,111,95,85,79,80,68,87,125,201,216,214,214,213,212,210,209,208,208,206,204,37,33,29,38,115,126,111,99,93,73,58,67,75,81,197,220,216,216,216,214,213,212,210,210,209,207,207,205,32,30,27,24,42,78,81,87,75,46,45,60,91,181,222,216,216,216,216,215,214,213,212,210,209,208,207,206,26,24,23,26,20,9,39,176,148,72,94,138,200,221,218,217,217,217,217,215,214,214,213,211,210,210,208,207,17,19,21,26,21,22,161,215,213,206,212,220,220,219,219,218,217,218,218,217,216,216,215,213,212,211,209,208,50,20,18,29,24,150,214,210,213,217,218,218,219,220,220,220,218,220,219,217,217,215,215,214,213,211,209,209,40,45,25,21,64,211,207,209,212,214,216,218,219,220,220,220,219,219,218,217,217,215,215,214,213,211,209,209,12,30,25,14,93,214,206,209,211,213,215,216,217,216,217,219,219,217,217,216,216,215,214,214,211,209,209,209
15,127,131,135,137,110,100,102,103,94,55,106,113,51,8,48,68,71,75,80,84,91,105,114,119,126,130,134,138,128,132,135,136,108,104,104,107,87,62,110,115,41,13,54,68,72,75,80,86,92,105,114,119,127,131,134,138,129,133,137,135,108,107,106,110,78,71,112,111,31,18,58,67,72,76,81,87,93,107,115,119,126,131,135,139,131,134,138,132,107,105,106,113,70,82,114,108,21,21,60,67,71,77,81,87,94,107,114,120,127,131,136,140,132,136,138,132,129,119,111,108,70,90,113,100,11,23,63,67,72,76,82,88,96,109,115,122,129,132,137,140,132,137,140,134,125,125,123,118,110,108,110,95,50,49,68,70,72,76,82,87,97,111,116,123,129,133,137,140,134,138,142,127,107,102,92,104,109,111,114,119,117,108,105,100,95,90,87,87,99,113,117,124,130,133,138,142,135,139,142,124,111,105,85,83,89,86,95,121,116,114,112,115,122,123,106,93,91,97,117,124,131,134,139,143,136,140,143,123,114,114,116,99,63,87,80,100,104,101,97,103,125,137,127,105,96,72,91,126,131,135,138,143,137,140,142,120,115,115,119,95,65,120,117,62,71,94,85,108,133,137,129,119,113,86,68,112,133,137,139,143,138,142,143,118,116,116,122,87,70,122,126,37,14,61,92,142,133,136,140,137,129,106,81,77,129,137,141,143,139,143,143,118,119,117,125,88,83,122,123,26,13,68,108,151,110,136,145,152,145,117,87,68,94,139,141,144,140,144,140,119,121,127,119,105,109,107,105,36,72,127,121,93,98,140,146,155,145,116,93,78,65,119,144,144,141,145,138,119,125,131,111,116,129,126,104,86,101,105,95,66,89,160,142,128,130,117,103,84,67,77,141,145,142,146,135,120,126,116,91,103,127,128,103,90,102,99,100,106,118,121,103,104,117,117,101,83,73,59,107,149,143,146,134,123,127,126,102,86,115,115,93,96,105,104,109,118,119,100,81,86,102,103,92,80,74,64,66,132,144,147,133,127,128,128,122,65,115,92,77,90,97,100,108,119,111,89,77,78,87,89,89,87,79,71,61,78,144,147,132,129,129,131,113,68,131,78,55,64,79,84,98,109,107,89,78,80,83,84,89,92,83,78,68,59,145,148,131,131,130,134,106,95,95,63,49,39,86,95,77,94,95,87,84,86,86,86,89,90,83,77,72,63,145,146,130,132,130,133,128,87,59,54,41,16,132,137,75,87,89,86,88,95,96,94,92,87,84,80,73,67,145,146,131,134,130,139,121,65,49,71,33,7,100,140,97,90,115,109,114,116,107,98,91,83,82,83,80,70,147,144,130,135,134,138,84,56,79,126,29,13,60,107,117,80,89,117,116,113,106,94,87,81,81,83,84,77,148,143,130,138,136,143,70,97,140,130,20,18,65,72,88,72,60,94,110,101,96,89,84,83,84,86,85,82,148,143,133,141,140,146,65,122,148,126,14,21,68,73,72,73,76,90,120,99,88,86,82,85,91,90,84,81,148,140,137,142,142,146,61,128,151,119,8,25,70,72,72,75,79,80,110,131,105,80,78,79,85,91,91,83,147,139,139,143,143,140,61,136,151,105,5,29,71,71,71,74,78,82,86,126,145,116,92,78,80,91,101,89,147,139,143,145,146,133,67,142,155,93,4,35,73,70,70,72,78,81,87,103,141,116,100,108,106,111,105,96,148,143,145,146,148,124,69,145,157,80,4,39,73,69,70,73,77,81,87,100,110,107,119,126,119,121,119,113
10,92,100,112,118,123,127,131,133,136,138,140,143,144,145,146,149,153,153,154,154,156,159,159,160,160,161,163,164,93,102,113,119,123,128,131,133,138,140,141,144,145,146,147,150,135,151,156,156,158,160,159,160,162,163,164,165,95,104,115,120,124,129,132,134,139,141,142,144,147,148,153,165,110,134,161,156,159,161,162,163,164,165,165,165,97,107,117,122,126,130,133,136,139,141,143,145,149,148,159,171,116,116,162,157,161,162,163,164,165,166,167,167,98,107,118,123,127,130,134,138,140,143,144,147,150,149,158,170,127,106,162,158,163,165,164,165,167,168,168,169,98,109,120,124,127,132,136,138,140,143,145,146,151,153,153,170,140,104,157,162,163,166,166,166,168,169,169,170,99,110,121,124,128,134,137,138,141,144,144,157,134,137,157,176,155,106,145,166,162,165,165,166,169,169,170,171,101,112,121,125,130,135,138,140,142,144,145,164,132,92,155,173,160,112,127,170,163,165,166,168,170,170,171,172,104,115,122,125,131,135,138,143,148,147,156,152,129,76,135,171,156,114,115,171,164,167,167,170,171,171,172,172,104,116,123,127,129,141,138,129,125,124,145,166,140,98,108,175,142,113,106,170,166,168,168,171,172,172,173,173,104,115,123,127,128,148,124,90,77,76,78,146,159,114,81,159,123,111,97,167,167,169,171,172,173,174,174,174,107,118,123,128,132,133,113,86,68,83,82,107,162,130,80,136,102,108,92,161,169,171,172,173,174,175,175,175,107,118,123,126,132,137,136,131,121,98,81,90,160,143,90,105,85,102,85,153,174,170,172,173,175,176,176,176,107,118,123,129,133,139,138,164,176,115,62,110,170,149,100,71,81,99,88,140,176,172,174,173,174,175,176,176,110,120,124,129,136,138,136,165,170,120,56,103,186,148,112,69,78,98,88,122,180,172,174,174,175,176,176,176,110,120,124,131,132,149,161,161,178,130,46,109,199,146,118,76,77,94,87,105,180,173,175,175,177,178,178,178,112,121,125,131,128,160,178,157,170,128,51,150,184,148,111,77,68,88,83,91,179,174,175,176,176,179,179,179,113,122,125,131,132,146,177,152,159,123,122,193,160,150,112,78,71,84,73,106,182,172,175,176,178,178,178,179,112,121,126,130,135,138,152,133,143,145,182,189,158,144,118,84,74,81,67,145,180,174,176,177,178,178,178,179,113,121,125,130,135,137,151,129,145,182,196,183,160,135,115,88,75,71,80,171,174,174,177,178,179,179,180,180,115,123,125,129,135,137,162,165,139,173,197,175,155,133,113,89,76,62,108,182,172,175,177,178,179,179,180,180,116,122,126,129,137,134,173,182,139,150,196,174,155,129,114,91,76,60,140,180,173,175,176,179,180,179,179,180,116,122,127,132,138,135,178,186,157,172,190,172,156,131,114,95,73,74,169,173,174,176,178,180,179,180,181,181,115,121,126,132,137,137,186,195,165,176,187,172,158,133,116,97,65,106,182,172,175,177,179,180,180,180,180,181,116,121,126,132,138,136,184,191,173,176,179,177,168,135,115,96,63,141,179,172,175,176,177,179,181,181,181,182,117,121,126,132,137,136,178,183,165,177,174,178,174,140,113,89,74,167,174,174,176,176,178,179,180,181,182,182,117,120,127,133,137,138,167,171,166,177,176,179,171,137,112,78,105,180,172,175,176,178,180,181,181,180,181,182,117,122,128,133,137,140,157,168,177,184,173,174,166,134,108,73,142,179,172,174,177,179,180,181,181,181,181,183
19,168,172,176,178,181,183,185,187,187,188,189,188,189,188,189,189,189,188,187,187,187,186,185,183,190,194,168,209,172,175,179,182,184,186,189,190,191,191,192,192,192,194,192,192,192,191,190,191,190,190,189,185,199,162,160,213,175,178,182,185,187,190,192,194,195,196,196,196,197,191,198,196,195,194,194,194,193,193,192,190,191,195,207,211,178,182,185,188,191,193,196,197,197,199,198,208,205,157,158,202,198,197,197,196,196,195,194,194,191,198,193,170,181,185,188,191,194,197,199,200,201,203,199,220,203,152,121,191,204,200,200,199,199,199,197,196,194,195,182,173,186,189,193,195,199,202,203,203,205,207,204,223,203,163,117,168,212,202,202,201,202,201,200,199,198,197,193,195,188,192,196,198,202,204,205,207,207,210,207,224,209,172,120,146,216,204,205,205,204,204,202,202,200,199,196,199,191,194,197,202,205,207,208,210,211,214,210,226,207,165,112,124,219,212,211,209,208,208,206,204,202,202,199,202,193,197,201,205,206,210,212,213,214,217,215,227,203,165,140,158,192,188,197,201,202,203,208,211,210,207,204,204,195,199,204,206,208,213,215,218,217,215,212,217,208,203,206,208,180,155,173,186,173,165,171,172,188,198,204,209,197,201,205,208,212,214,209,193,195,209,210,217,213,216,213,197,182,167,177,193,180,176,175,160,186,186,172,207,199,203,207,211,212,227,210,189,197,201,201,202,200,195,190,179,166,142,141,159,166,169,170,159,167,175,150,194,200,204,208,213,215,234,211,200,195,183,185,190,187,184,185,182,174,128,162,174,173,168,161,158,161,179,102,176,203,206,210,212,220,213,172,163,173,181,195,197,190,189,187,186,182,145,197,237,227,224,221,217,226,193,87,131,204,207,212,213,230,197,172,168,170,179,184,181,185,187,185,184,169,128,187,231,222,223,221,221,230,133,96,95,205,208,212,216,223,184,184,185,181,171,148,155,171,162,150,156,141,120,217,226,227,233,232,225,189,104,99,100,206,209,214,217,224,214,197,176,168,174,179,176,172,167,161,156,146,136,232,237,221,191,153,116,97,98,99,101,207,210,215,217,228,237,214,175,153,170,178,177,176,175,168,160,157,135,182,161,98,85,92,86,88,95,95,98,207,211,214,219,229,237,214,177,165,159,151,153,159,158,150,144,140,127,87,72,83,77,83,80,94,92,91,95,208,214,215,220,228,227,223,185,169,152,136,139,152,152,144,139,127,108,88,86,89,83,77,74,86,88,84,91,208,214,215,224,231,233,233,198,166,144,159,167,164,160,150,144,125,80,78,92,83,81,81,81,75,79,80,85,209,213,214,224,233,233,236,207,164,142,153,159,155,147,135,130,123,79,69,83,85,82,73,75,81,80,79,81,208,213,213,219,234,230,219,185,161,153,152,159,158,142,131,135,116,81,73,74,82,84,76,65,74,76,85,85,208,213,214,219,231,224,210,181,163,160,152,154,140,124,132,136,78,75,80,72,73,84,83,69,67,69,80,83,208,213,213,219,226,222,202,178,159,161,156,140,113,105,115,104,61,65,75,72,72,75,85,77,64,69,67,65,210,215,213,218,221,215,184,160,163,186,156,112,105,79,47,73,80,62,67,73,72,73,76,83,68,65,67,64,201,205,205,221,217,205,182,164,178,181,146,109,103,71,42,57,80,75,65,72,68,69,71,76,76,60,65,63,142,138,190,226,214,205,187,183,188,171,141,116,92,84,48,47,68,80,72,69,67,62,68,68,75,66,59,64
4,185,185,186,186,186,186,186,186,186,185,186,186,185,185,185,184,183,180,181,181,180,179,177,176,175,174,173,172,187,187,189,189,188,189,189,188,189,188,187,188,190,188,186,186,187,188,185,182,181,179,180,179,177,176,176,174,192,191,192,191,191,192,191,191,191,192,191,189,186,193,191,182,155,145,183,188,188,186,181,181,181,180,178,177,194,193,193,194,193,193,193,193,192,192,191,176,149,151,190,185,153,109,133,186,149,159,187,183,182,181,180,179,196,195,195,196,196,195,195,195,195,194,199,201,175,142,130,180,173,134,93,149,141,96,147,194,182,184,182,181,197,196,198,198,198,198,197,198,196,190,186,190,198,173,124,124,179,153,95,124,153,101,92,192,185,186,185,183,199,199,199,199,199,200,200,201,192,179,177,131,153,172,109,89,175,152,96,103,155,118,79,187,189,187,186,184,201,201,201,201,201,201,201,201,195,191,182,130,106,151,100,83,154,121,73,125,160,125,92,194,191,190,188,188,202,202,203,202,203,203,203,204,187,144,173,148,100,129,135,81,120,106,60,133,132,86,110,204,191,192,192,190,204,203,204,204,205,204,204,203,201,144,128,174,132,110,163,90,97,125,121,125,90,49,134,207,193,194,193,192,205,205,204,205,206,204,203,206,190,125,98,163,137,154,162,140,143,142,171,139,78,54,174,202,195,196,194,193,206,205,206,206,206,206,205,208,189,163,159,128,77,173,162,150,160,146,157,130,87,79,201,199,198,198,196,194,207,206,206,207,207,207,207,206,202,186,146,106,71,103,136,125,128,124,118,117,106,76,171,208,198,198,197,196,207,207,208,208,208,208,206,205,203,173,130,94,83,81,101,112,112,107,97,130,122,93,96,206,200,199,199,198,208,209,209,208,209,210,208,205,194,154,117,91,88,108,113,144,154,149,129,137,138,128,75,150,213,198,200,199,210,211,211,211,210,210,208,202,195,166,131,99,101,109,134,176,175,191,176,149,178,151,94,91,209,201,201,199,212,212,211,212,211,212,210,200,196,169,133,96,96,118,154,187,188,200,204,184,167,150,91,85,208,203,202,200,212,212,212,212,212,213,212,193,194,180,141,105,103,120,158,195,197,205,194,178,156,122,71,122,217,202,203,201,212,212,212,212,213,213,213,189,193,189,149,119,113,116,168,202,207,205,185,164,145,104,62,176,214,204,204,203,213,212,213,214,214,214,216,189,186,190,160,127,115,122,175,208,206,197,176,154,136,85,86,213,206,206,205,204,213,213,214,215,214,214,217,193,173,180,160,130,116,128,185,205,194,186,165,139,121,68,139,221,204,207,206,205,213,213,213,214,214,214,217,208,169,179,167,134,127,133,190,194,184,174,151,125,99,68,195,215,209,207,206,206,212,212,212,213,213,213,213,216,182,178,172,149,146,130,186,184,181,159,135,114,70,112,222,208,209,208,205,205,212,212,213,213,213,213,212,218,198,173,173,162,147,121,166,174,171,146,115,91,61,187,213,206,207,206,205,205,213,212,214,214,214,214,214,217,206,179,170,155,141,122,146,155,143,117,92,55,130,223,208,209,208,207,207,205,213,214,214,214,214,214,214,217,209,186,173,154,137,125,134,144,120,93,67,72,208,213,211,211,209,208,207,205,213,215,214,214,214,214,216,218,198,188,174,158,144,137,131,138,123,91,53,139,226,210,213,211,208,208,206,207,213,213,214,214,214,214,216,214,183,186,178,170,167,152,139,130,115,81,63,185,219,212,211,211,210,208,208,199
13,207,208,209,208,207,208,209,210,209,208,208,210,210,211,211,210,210,211,212,211,211,210,210,209,209,209,208,208,209,210,210,209,209,210,211,210,210,210,211,210,210,212,213,212,213,213,212,212,213,212,210,211,212,211,209,208,209,211,210,211,211,211,211,211,212,211,212,212,212,212,212,212,211,210,214,216,214,213,211,212,212,211,210,210,209,210,211,211,211,213,212,213,212,211,212,214,214,212,214,221,219,195,174,200,208,213,216,213,213,212,212,212,209,211,212,212,212,213,213,212,212,212,212,214,212,220,240,241,237,208,165,132,149,153,201,217,213,213,213,212,210,210,211,212,213,212,212,213,215,215,213,213,213,219,213,226,236,217,171,130,117,127,146,225,211,213,213,213,211,211,212,212,213,213,213,214,215,212,217,205,185,206,184,177,213,219,193,141,124,171,142,217,215,214,215,214,211,212,212,213,214,214,214,216,214,217,238,205,167,196,207,201,212,207,209,148,120,149,136,215,216,216,216,214,211,212,213,213,214,214,215,215,210,221,245,214,189,160,178,209,215,195,156,122,90,147,205,217,217,216,216,216,211,213,212,213,214,216,211,220,218,166,179,224,208,176,110,144,203,202,172,155,129,128,220,218,217,216,216,216,211,212,214,213,213,210,217,238,213,151,120,196,229,190,128,68,138,169,181,203,188,129,163,228,215,217,216,216,211,212,213,214,212,221,240,224,194,160,124,158,236,190,155,92,84,94,191,221,208,174,125,205,221,217,217,216,212,211,212,211,217,233,215,195,197,175,142,120,231,198,178,124,90,90,153,233,219,194,142,142,224,216,215,215,213,212,213,212,229,219,184,179,205,183,157,95,185,226,193,158,88,99,143,223,225,195,165,123,192,223,216,216,213,213,213,214,231,225,201,172,206,187,166,132,94,215,215,182,130,120,221,216,213,191,172,131,171,228,216,218,213,212,211,215,227,217,203,174,172,195,192,169,86,114,221,207,197,152,218,214,191,165,154,121,179,226,216,217,211,211,212,212,229,233,216,195,165,167,200,179,162,83,165,216,194,198,213,200,181,155,129,116,204,222,217,217,217,217,218,216,228,237,226,205,192,176,178,175,194,138,193,230,217,224,207,190,173,150,122,130,220,218,219,217,175,177,182,180,213,240,232,215,199,192,194,179,153,163,225,236,236,216,204,187,166,142,112,163,230,222,224,222,121,121,124,112,175,245,230,222,209,198,201,201,173,163,214,235,233,216,191,179,160,133,115,149,176,176,179,179,127,126,128,120,143,234,225,226,223,210,202,199,189,156,184,231,224,210,187,163,148,125,122,121,115,112,114,121,127,127,127,129,120,206,225,222,225,222,211,200,188,172,158,215,214,198,181,153,136,124,117,121,128,147,171,195,126,127,129,131,120,155,228,218,227,227,213,201,185,175,160,184,202,184,163,148,133,114,127,186,205,218,223,223,126,127,128,128,132,119,191,227,222,219,204,191,181,170,160,162,182,175,158,143,130,104,183,238,218,211,204,212,127,128,128,127,131,122,142,228,217,203,191,183,177,168,150,149,170,177,164,134,118,117,222,223,209,199,181,177,127,128,127,127,126,129,121,205,222,192,179,180,175,164,145,136,175,188,155,126,105,166,236,217,204,169,160,164,127,127,128,126,125,132,118,184,228,200,195,189,175,159,147,134,181,181,136,118,115,222,230,230,211,162,136,161,127,128,129,126,126,131,118,175,233,208,207,197,180,164,153,133,183,166,129,106,146,233,219,239,227,175,128,144
22,158,164,167,170,177,182,185,189,191,194,195,196,199,200,200,200,201,200,199,199,199,198,196,196,194,193,192,192,159,165,169,172,178,182,187,189,193,195,196,201,201,202,202,203,201,203,205,201,200,201,199,197,195,195,194,193,161,168,171,174,179,184,189,192,193,210,184,167,206,202,204,203,206,189,183,206,201,201,200,201,201,197,195,194,162,169,172,175,180,186,190,194,193,227,189,135,206,204,206,204,215,177,131,204,204,202,204,187,184,201,197,196,163,169,173,176,182,187,191,195,194,230,198,135,204,206,206,208,211,165,130,209,204,205,208,160,132,203,199,198,164,171,174,178,184,188,193,197,194,228,207,139,200,210,208,210,205,152,149,215,203,210,205,152,140,208,199,199,165,172,174,178,185,190,195,198,195,232,222,148,190,214,208,204,198,139,172,215,208,215,188,126,178,210,201,201,165,173,176,180,186,192,196,200,196,231,219,147,181,218,208,199,185,126,189,212,220,216,166,136,209,205,203,202,167,174,177,181,187,193,197,202,198,229,218,148,167,220,207,207,189,124,201,217,214,191,143,172,214,205,205,204,168,176,178,183,189,194,198,202,201,223,233,174,158,219,205,208,171,134,221,232,213,159,129,207,209,208,206,205,170,176,178,183,190,195,199,203,205,215,234,177,143,216,190,191,133,151,242,231,205,137,160,219,208,208,208,207,170,177,179,184,191,197,202,204,206,208,233,166,114,180,176,190,179,208,230,213,179,122,203,216,211,210,208,207,171,177,180,185,192,198,202,204,215,190,192,157,133,185,196,196,218,218,213,190,131,151,222,211,212,211,209,209,172,178,181,186,191,198,203,208,223,189,171,160,168,170,181,203,207,207,204,158,121,208,217,214,213,213,210,209,174,180,181,187,195,202,202,217,229,201,208,196,187,139,115,175,192,202,177,128,158,229,215,216,215,214,212,211,174,181,183,188,196,201,203,223,241,208,195,198,188,169,139,111,148,159,136,116,181,228,217,216,216,215,213,212,175,181,183,189,196,201,202,233,233,199,147,140,181,190,175,140,107,115,121,111,205,225,220,218,218,217,214,213,175,180,183,190,198,202,205,238,233,199,146,104,140,197,188,168,138,115,107,110,216,224,221,219,219,217,215,214,175,181,184,191,197,203,205,240,251,202,209,129,159,226,201,174,158,137,100,94,207,227,221,220,219,218,216,215,176,181,184,192,197,204,206,241,249,202,194,134,201,242,209,179,163,138,97,88,206,229,220,220,219,219,219,217,177,181,184,191,197,204,205,241,251,203,183,190,236,215,207,174,151,129,92,103,222,225,221,221,221,221,219,216,176,182,184,190,197,204,203,235,245,218,188,212,244,200,189,190,146,123,84,135,234,220,221,220,220,220,219,216,176,182,183,191,198,205,205,229,243,226,190,217,238,201,186,186,156,113,80,166,235,220,222,220,220,221,219,216,177,181,184,191,199,206,206,223,237,229,193,203,227,197,182,174,142,103,83,198,231,223,224,221,221,221,219,218,176,181,184,191,198,204,209,206,237,223,194,179,200,175,159,148,116,87,109,228,224,223,223,220,219,218,218,217,177,183,186,193,201,208,213,106,176,222,161,151,165,164,144,122,105,87,178,241,230,230,229,227,225,225,225,223,157,160,162,165,166,173,151,87,89,152,156,162,167,177,158,123,105,98,170,177,175,174,175,175,175,175,175,174,137,137,136,138,138,131,96,91,91,85,138,164,163,170,156,117,87,77,127,127,125,125,124,124,122,122,113,99
10,113,121,133,139,143,147,151,153,156,158,160,163,163,164,166,168,172,172,173,174,175,178,179,179,179,180,182,183,114,122,134,140,143,149,151,153,158,159,161,163,165,166,167,170,155,171,175,176,177,179,179,179,181,182,183,184,116,124,136,140,144,149,152,154,159,161,162,164,166,168,172,184,130,154,180,175,179,180,181,182,183,184,184,184,118,127,138,142,146,150,153,156,159,161,163,164,168,168,178,189,136,136,181,176,180,181,182,183,184,185,186,186,119,128,138,143,147,150,154,158,160,162,164,167,169,168,177,188,147,127,181,177,182,184,183,184,186,187,187,188,119,130,141,144,147,152,156,158,160,162,165,165,170,173,173,189,160,125,176,181,182,185,185,185,187,188,188,189,120,130,141,144,148,154,156,158,161,164,164,176,154,157,176,194,175,126,165,185,181,184,184,185,187,188,188,190,122,132,141,146,150,155,157,160,162,163,165,183,152,113,174,192,179,133,147,189,182,184,185,186,188,189,190,191,124,135,142,145,151,154,158,163,168,166,175,172,149,97,154,190,175,135,136,189,183,186,186,189,189,189,191,191,125,136,143,147,149,161,158,149,145,145,165,185,160,119,129,193,161,133,126,189,185,187,187,189,191,191,191,192,125,136,143,147,148,168,145,111,98,97,100,166,178,135,102,178,143,132,118,186,186,188,189,190,192,192,193,193,127,138,143,148,151,153,133,108,90,105,103,127,181,150,102,156,123,128,113,180,188,189,191,191,192,194,194,194,128,138,143,146,152,156,156,151,141,119,103,112,179,162,112,126,106,123,107,172,192,189,191,192,193,195,195,195,128,138,144,149,153,159,158,183,195,136,84,131,189,169,121,93,102,120,109,160,195,190,192,192,193,194,194,194,130,140,144,149,155,157,156,184,189,140,78,124,205,167,133,91,100,119,110,142,198,191,193,192,194,195,194,195,131,140,145,151,152,168,180,180,196,150,69,130,217,166,139,98,99,116,109,126,198,192,193,193,195,196,196,196,133,142,145,151,148,179,197,176,189,148,73,170,202,167,132,98,90,109,104,112,198,192,194,195,195,197,197,198,133,142,146,151,152,165,195,171,178,144,143,211,179,170,132,100,93,105,95,126,201,191,194,195,196,197,197,198,133,142,146,150,155,158,171,153,162,165,200,207,177,163,139,105,96,102,89,164,198,192,195,196,197,197,197,198,134,142,145,150,155,157,170,149,164,201,214,201,179,155,135,110,97,93,101,190,193,193,195,197,197,198,199,199,136,143,146,149,155,157,181,184,159,191,215,194,174,153,133,110,98,84,129,200,191,194,195,197,197,197,198,198,137,142,146,149,157,154,192,200,159,170,214,193,175,149,134,112,97,83,160,198,192,194,195,197,198,198,198,198,137,142,147,152,157,155,197,204,176,190,208,191,175,151,134,116,95,95,188,192,192,194,196,198,197,198,199,199,136,142,146,152,157,157,205,213,184,195,205,191,177,153,136,118,87,127,200,190,193,196,197,199,198,198,199,200,137,141,147,152,158,156,203,209,191,195,197,196,187,155,135,117,85,161,197,191,194,195,196,198,199,199,200,201,138,141,147,152,157,156,197,202,184,196,193,197,192,159,133,110,96,186,193,192,194,195,197,198,199,200,200,200,138,141,147,153,157,158,186,189,185,195,194,197,190,157,132,100,126,198,191,193,195,197,198,199,199,199,200,201,138,142,148,153,157,160,176,187,195,203,192,193,185,154,128,95,161,197,191,193,195,197,198,199,199,199,200,201
22,138,143,146,148,150,152,155,158,159,159,161,163,163,163,162,162,162,163,163,162,161,162,161,159,158,157,156,156,142,145,149,151,153,155,157,160,162,162,163,164,165,166,169,159,149,165,164,164,164,164,164,162,160,158,158,157,144,148,151,153,156,158,159,162,164,173,141,161,168,167,186,155,109,167,167,166,165,165,165,164,163,162,161,160,145,150,153,156,159,160,162,165,169,188,115,149,171,170,191,151,111,169,169,168,150,153,167,165,165,164,163,164,147,152,156,159,162,164,165,167,170,185,119,140,173,172,184,145,116,171,171,171,134,119,170,168,167,166,166,165,150,153,158,161,163,165,167,169,170,189,133,129,176,175,178,148,124,175,175,179,128,122,172,171,170,168,168,167,151,155,159,162,165,167,169,172,172,194,150,123,178,177,182,155,127,177,181,179,122,138,174,173,172,170,171,170,154,158,162,165,168,170,172,175,175,197,165,120,176,180,176,152,125,178,191,180,114,158,175,174,174,172,172,172,157,161,165,167,170,172,173,176,177,197,168,115,166,180,175,147,126,182,197,175,109,171,179,177,176,175,174,173,157,162,166,168,171,174,176,178,179,199,187,125,150,182,185,143,131,188,195,156,110,179,181,179,179,178,176,175,159,163,167,170,173,176,178,180,182,192,190,132,144,183,187,135,143,199,198,134,125,183,181,181,180,179,178,176,161,165,169,172,174,177,180,183,200,186,176,148,141,166,176,129,163,205,185,112,156,185,184,183,182,181,180,179,162,166,170,173,176,179,182,188,218,181,188,198,181,142,135,175,185,190,159,104,177,187,186,185,184,183,182,182,163,167,171,176,179,181,184,194,210,174,137,199,199,157,99,146,159,164,131,115,186,188,187,187,185,185,184,183,165,170,174,177,181,183,185,200,199,179,112,121,187,180,134,93,113,122,100,138,189,189,189,188,186,186,185,184,168,172,175,179,183,185,186,209,205,169,121,83,129,198,172,116,87,87,83,164,192,191,189,188,187,187,186,186,169,174,177,180,184,187,187,215,191,154,121,115,127,195,200,153,111,83,80,177,193,193,191,190,189,188,187,187,170,175,179,182,186,188,189,220,203,157,141,150,153,217,203,165,133,86,81,188,195,195,193,192,191,189,188,188,171,177,181,184,187,190,192,223,199,160,144,171,198,226,193,154,124,80,89,195,196,195,195,193,192,191,190,189,173,178,183,185,189,192,194,223,204,175,163,168,220,216,183,137,111,79,117,199,197,198,196,195,195,193,192,189,174,179,184,187,190,194,195,221,209,183,176,168,225,204,168,127,100,76,147,200,199,199,197,196,196,194,193,191,175,180,184,188,192,194,196,217,208,188,184,175,215,187,154,118,93,73,160,201,201,200,200,198,197,195,194,193,176,181,186,189,192,195,197,211,213,197,193,175,207,173,143,112,86,73,173,202,202,202,202,200,199,197,196,195,177,181,186,190,193,197,199,204,212,201,196,173,205,163,136,103,84,79,186,204,203,203,202,201,201,199,198,197,178,183,187,191,195,198,200,202,213,196,182,160,187,154,135,107,84,100,201,206,205,204,203,202,201,200,199,198,179,184,189,193,196,199,201,202,216,188,163,160,187,140,143,111,76,147,207,207,207,206,205,203,202,202,201,199,180,185,189,194,197,200,202,203,227,205,185,178,190,136,147,98,81,192,209,209,207,206,206,206,204,202,202,200,179,184,189,193,197,200,202,204,228,215,201,191,182,135,135,85,112,204,210,209,207,207,207,206,205,203,202,201
3,141,144,147,149,151,152,154,154,153,154,153,153,152,153,154,151,150,147,145,144,142,139,136,132,129,128,125,121,142,145,148,151,152,152,155,155,155,156,155,153,153,153,151,155,152,149,147,145,142,140,138,134,131,127,127,123,143,147,148,152,152,153,154,156,156,155,156,155,153,159,125,99,156,148,148,146,144,141,138,136,133,130,128,126,144,147,149,153,152,155,156,157,156,157,156,156,155,163,123,48,145,152,148,147,145,143,139,135,132,130,128,126,146,148,152,154,156,157,157,157,157,158,158,156,155,162,123,40,128,158,149,147,145,144,140,136,134,132,131,129,147,149,153,155,157,159,160,160,160,161,161,159,157,162,117,31,124,161,150,149,147,145,142,139,137,135,132,130,149,153,156,158,160,163,163,164,164,165,165,163,161,167,139,44,113,164,151,151,149,147,144,142,140,136,134,133,152,155,158,161,162,165,166,166,166,166,165,165,163,160,123,40,98,170,153,153,152,149,146,144,143,139,137,135,154,158,160,163,164,166,169,168,168,169,168,165,171,144,93,39,85,168,157,155,154,152,150,146,143,142,139,137,155,159,163,166,167,169,171,171,172,172,172,168,176,186,150,77,117,106,145,162,154,153,151,149,146,143,141,139,156,160,165,168,171,172,173,174,175,174,176,168,114,111,153,97,140,64,88,174,154,155,153,151,147,145,143,140,158,163,167,170,171,172,174,176,177,175,168,172,118,61,90,103,113,95,26,106,167,156,156,154,150,147,144,142,160,164,168,170,172,173,174,176,177,176,108,94,155,105,56,106,111,108,59,32,132,166,155,155,151,148,146,143,162,165,170,172,173,174,176,178,181,172,128,80,111,137,63,89,95,92,87,29,111,173,158,156,152,152,148,145,162,168,171,173,174,176,179,180,181,130,144,118,75,124,79,19,12,102,98,24,131,172,160,157,155,152,149,146,164,169,172,174,176,178,178,185,162,91,88,119,44,77,68,6,0,99,105,31,144,171,162,158,156,154,150,147,165,168,172,175,177,180,179,187,160,102,41,89,18,46,89,40,39,113,103,32,149,171,163,161,158,156,152,149,166,168,173,175,179,180,182,180,137,91,46,58,44,31,93,43,95,118,84,30,159,172,164,162,160,157,153,150,166,170,175,178,181,182,183,179,155,120,64,39,43,59,121,110,123,98,37,58,181,168,167,164,162,158,154,151,167,171,175,179,180,182,185,182,164,134,82,65,52,126,175,152,108,81,16,119,184,167,169,167,162,160,155,152,169,173,175,180,181,183,186,181,160,138,98,72,66,150,154,128,103,69,30,166,176,170,169,167,163,161,156,153,168,172,176,180,182,183,186,182,148,129,104,85,80,149,145,120,97,42,66,190,173,172,170,168,165,162,157,154,166,172,176,180,182,185,187,189,154,132,118,104,87,136,138,108,74,19,133,189,175,174,173,170,167,163,159,156,167,171,178,181,182,185,188,192,173,138,131,110,83,107,110,81,29,50,191,180,177,174,174,171,167,164,160,158,167,172,178,182,183,185,187,191,184,155,133,111,89,85,89,63,8,136,192,179,180,175,173,171,168,165,162,158,168,173,178,182,184,186,187,190,186,166,128,115,108,92,83,37,45,191,182,181,180,177,173,171,168,166,164,159,168,171,177,181,183,188,189,191,174,164,142,136,117,94,71,17,89,199,180,183,182,181,175,171,169,166,165,161,166,172,177,180,185,188,189,189,162,169,155,136,112,82,53,9,124,197,180,181,180,178,174,172,168,165,163,160
6,169,172,174,174,175,174,176,176,174,175,175,173,172,172,172,172,171,170,168,167,165,165,164,164,163,161,157,156,172,173,175,177,178,178,178,178,177,177,178,177,175,172,172,172,171,170,169,168,168,168,168,165,165,162,160,157,172,174,176,178,179,179,180,179,179,178,178,177,176,175,173,174,173,171,170,169,169,168,167,165,164,164,162,160,173,175,178,179,180,182,181,181,182,181,180,180,178,177,176,174,175,175,172,171,171,170,169,167,166,165,163,162,175,177,179,181,182,183,183,182,184,182,181,181,181,179,178,178,179,176,173,169,169,168,169,164,164,161,155,160,177,178,180,183,184,185,185,184,184,185,186,185,182,178,171,167,162,162,159,135,140,154,153,136,150,142,161,190,178,180,182,184,185,186,184,185,184,183,171,161,164,166,159,162,164,164,154,148,140,163,161,144,152,147,152,177,178,181,183,185,186,187,186,184,189,189,161,142,153,165,168,173,174,172,154,134,135,130,131,116,108,108,99,109,180,183,184,185,186,187,187,183,200,198,169,156,145,145,147,141,137,129,119,108,81,81,68,87,120,125,145,160,182,183,185,186,187,188,189,187,210,202,186,169,149,136,130,122,115,104,88,66,39,26,42,161,181,176,175,170,184,184,186,186,189,191,187,199,214,208,197,160,126,122,129,137,133,126,114,106,103,58,134,184,171,172,170,169,184,185,188,187,190,192,186,210,217,213,185,128,106,116,121,132,137,132,122,112,114,73,143,184,175,174,172,170,184,188,190,190,192,189,190,219,212,209,153,113,122,116,105,112,130,115,108,108,94,56,152,183,177,175,172,171,186,188,191,191,193,185,201,218,209,209,175,158,137,120,95,104,133,122,118,120,91,85,185,179,178,177,174,172,187,189,190,192,191,190,213,212,212,214,211,194,145,118,128,136,133,123,111,97,97,80,163,184,178,177,174,173,188,191,191,194,185,202,215,214,214,209,209,197,135,106,116,121,123,115,99,90,88,60,162,184,179,178,176,174,187,190,192,190,186,208,213,216,209,203,199,178,134,112,104,95,102,108,105,98,69,94,186,181,180,180,176,172,185,187,191,176,195,210,212,212,203,197,190,186,166,144,103,69,87,108,102,98,62,140,190,178,180,177,172,175,185,191,182,171,208,211,211,205,205,205,194,188,197,172,116,91,111,128,111,90,76,85,184,179,177,177,183,162,188,193,171,189,207,210,207,206,209,201,189,198,196,155,102,90,99,97,86,75,57,81,184,183,187,180,121,51,190,178,181,202,205,205,201,196,191,187,187,194,173,129,96,93,89,77,67,62,71,163,194,174,122,63,19,12,185,172,195,199,204,196,187,182,174,179,175,158,133,106,93,79,68,113,125,145,170,149,98,46,13,10,11,11,173,181,197,197,199,187,174,171,168,165,161,135,113,100,105,89,120,155,123,99,58,26,0,0,2,9,5,3,162,195,194,195,183,172,159,154,164,157,145,133,121,102,76,46,40,15,3,0,3,11,0,0,0,2,0,1,178,198,194,190,179,169,153,145,145,136,123,113,90,60,29,7,0,1,0,5,9,0,0,0,0,0,0,0,193,196,193,183,172,152,132,130,119,100,87,71,45,17,7,16,0,0,0,0,5,0,0,0,0,0,0,0,197,194,190,186,157,121,119,114,104,88,54,28,11,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,197,193,188,179,125,112,134,119,94,68,20,8,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0
21,86,88,93,99,103,107,111,114,116,118,120,122,123,123,122,123,123,122,120,120,120,119,117,115,115,115,112,110,87,89,94,100,106,109,113,115,117,120,123,123,124,124,123,125,122,122,125,121,121,120,119,118,116,116,114,112,89,92,96,102,108,111,115,116,119,122,124,126,126,126,127,125,138,114,101,128,122,122,122,121,118,118,117,114,91,93,98,104,109,113,116,119,121,123,126,128,128,129,130,123,160,119,66,132,123,124,123,121,122,120,118,116,92,95,100,107,111,115,118,121,123,125,127,129,130,130,130,124,162,117,62,129,125,124,123,124,117,119,119,118,93,96,101,107,113,116,118,122,124,126,128,130,132,130,131,126,169,116,61,128,127,127,124,148,88,98,126,120,95,98,103,110,115,117,121,123,125,128,130,131,131,131,132,128,176,124,68,127,130,127,133,154,66,97,127,121,96,99,106,112,116,120,123,124,127,130,132,133,132,133,135,130,181,125,75,128,133,124,148,140,61,110,127,122,96,99,106,113,116,121,123,126,130,132,133,135,135,135,134,133,182,118,78,128,134,128,163,121,66,120,125,123,98,100,107,114,117,122,125,129,130,133,134,136,136,135,132,143,193,123,80,126,134,136,175,113,76,130,126,125,99,103,109,115,120,124,127,130,131,134,136,138,134,153,147,127,180,141,86,128,131,154,173,98,88,135,127,127,100,104,110,117,121,125,129,131,133,136,137,136,141,199,167,110,91,128,89,132,134,179,158,80,100,137,129,128,102,104,112,119,122,127,131,132,135,136,143,168,131,164,187,127,55,72,92,133,153,183,134,69,118,135,130,130,102,105,113,120,126,130,133,136,138,132,172,203,144,100,175,125,55,47,89,137,162,164,108,78,136,132,131,130,103,108,115,122,127,131,134,137,140,138,188,209,175,87,127,136,61,37,63,111,138,142,85,102,141,133,132,132,104,109,116,123,129,131,136,139,140,147,185,172,183,81,97,169,108,49,39,70,99,104,75,132,139,135,134,132,105,110,119,124,129,133,137,141,140,155,195,162,170,115,71,170,156,88,37,56,87,69,83,146,138,137,136,134,106,111,120,126,130,134,137,143,139,176,204,158,141,135,60,126,164,126,63,34,67,54,92,148,139,139,138,135,107,111,120,127,132,136,139,145,140,189,189,134,109,91,76,86,156,157,110,44,43,47,107,149,141,140,139,138,108,112,121,129,134,137,141,146,142,194,189,134,100,102,111,114,153,182,146,84,40,47,130,148,143,142,141,140,109,114,122,129,134,139,143,147,145,197,189,133,98,118,125,171,176,182,170,118,58,58,148,146,145,146,143,140,108,114,123,130,135,139,144,147,147,198,189,136,103,130,143,194,185,174,161,137,82,72,155,147,147,146,144,141,106,113,123,129,134,139,144,148,147,198,193,132,118,131,158,203,191,175,141,120,82,75,155,147,147,146,144,142,107,113,123,130,137,140,145,149,148,197,195,130,144,127,178,211,193,168,142,92,59,82,157,149,148,146,145,143,107,114,124,131,137,141,145,151,149,192,191,146,164,127,183,213,189,164,135,84,49,105,160,150,150,147,146,143,108,115,123,130,136,141,146,151,147,183,191,170,170,125,175,207,176,151,114,78,55,133,156,150,150,148,146,144,106,114,123,132,138,143,148,153,151,174,197,182,167,123,164,193,153,126,94,64,73,159,156,155,153,152,151,145,101,106,111,114,118,121,123,128,126,143,196,178,159,120,141,176,133,103,83,61,79,127,122,121,119,118,115,125
0,182,180,181,181,182,181,181,179,181,181,181,181,181,180,180,180,179,178,178,177,174,174,174,174,172,170,170,170,185,184,184,184,184,184,184,184,184,184,183,183,183,182,181,181,180,179,179,178,178,176,175,176,174,173,172,171,186,187,186,187,187,187,186,187,186,184,184,185,184,183,184,183,182,180,180,179,179,177,178,177,174,173,172,171,187,187,187,187,187,187,186,187,187,186,187,186,185,184,185,184,183,183,183,179,180,180,178,178,177,176,175,173,187,188,188,187,188,187,187,187,188,187,188,188,188,187,187,189,185,185,187,186,181,180,180,180,179,178,177,176,190,189,190,188,188,188,188,188,188,188,189,188,187,188,182,166,183,190,168,164,187,158,153,186,178,178,178,178,190,190,190,190,189,189,188,188,189,188,189,192,194,185,147,108,105,152,126,97,120,161,98,179,182,180,179,176,191,191,191,191,190,191,192,191,193,195,192,170,145,157,143,114,67,75,131,100,63,159,98,140,195,178,181,178,191,192,192,192,191,191,190,191,172,172,180,149,94,73,139,122,96,84,133,106,66,137,131,73,170,188,179,181,192,193,194,193,193,193,189,178,137,90,159,144,105,61,130,131,109,81,140,110,57,107,145,85,81,169,185,180,193,193,194,193,193,194,178,171,144,95,143,151,117,73,124,137,99,78,145,113,52,67,150,120,69,98,197,179,194,194,195,194,196,191,166,163,156,116,127,161,116,77,102,140,97,63,120,98,44,69,156,129,60,107,198,180,196,196,195,195,196,185,153,144,156,125,110,153,111,74,85,139,95,33,57,56,27,119,163,122,49,158,191,183,198,197,194,195,195,180,171,130,138,121,80,134,117,84,51,82,58,7,36,37,80,158,157,93,73,193,185,186,198,198,196,197,192,173,152,100,109,80,35,100,109,77,20,17,33,77,122,104,137,158,136,62,122,199,185,187,198,199,198,201,189,171,160,122,90,54,27,44,65,32,15,50,120,160,157,144,123,143,112,41,167,195,186,187,199,199,199,202,186,174,172,147,107,87,70,73,83,87,111,146,165,158,150,145,106,105,73,53,196,190,189,188,200,200,199,202,184,174,180,153,125,104,93,104,133,159,168,172,173,160,144,132,89,72,32,132,203,189,190,188,199,200,199,202,185,168,180,157,132,101,103,112,160,173,175,177,171,149,131,116,78,25,95,202,191,191,191,190,199,200,199,201,191,158,172,159,139,114,110,129,175,178,175,177,160,134,115,99,40,68,199,194,192,192,193,191,198,199,199,199,199,161,168,166,145,134,121,143,172,177,176,164,139,123,102,65,40,181,197,192,192,192,191,190,200,199,199,199,204,171,156,168,158,144,123,147,169,169,166,148,121,105,83,30,147,203,189,193,192,191,190,188,200,200,201,199,202,186,151,164,157,140,121,139,161,153,144,125,101,85,31,107,207,191,194,193,192,191,190,189,200,200,200,200,201,199,159,160,148,132,121,131,151,140,125,104,81,32,76,202,196,196,194,193,193,192,192,191,200,199,200,201,202,197,166,160,141,125,122,126,144,132,106,89,38,69,198,198,196,197,196,194,194,193,193,191,199,199,199,199,201,188,165,157,149,145,140,130,137,127,95,58,40,191,201,196,197,198,196,194,194,193,192,191,203,203,203,202,206,168,164,166,161,156,144,133,132,113,77,30,116,213,194,200,198,197,198,196,195,195,191,189,165,169,172,175,178,154,167,175,165,154,144,135,118,89,65,33,163,203,198,199,199,198,196,196,195,194,192,190
23,81,83,87,96,106,116,123,126,129,133,140,144,147,150,151,153,157,159,161,161,160,161,161,161,163,162,161,161,81,83,88,98,108,117,124,128,130,136,142,145,149,151,152,155,159,161,161,163,163,163,163,163,164,163,162,162,81,84,89,99,109,118,126,129,131,137,142,147,150,152,155,157,160,161,164,164,165,165,165,165,165,165,164,164,82,84,88,100,110,120,127,130,132,138,144,149,152,154,158,159,161,163,165,166,166,165,166,166,166,166,166,165,83,86,88,100,111,121,128,132,135,141,145,150,152,155,158,160,162,165,165,166,167,166,166,166,166,167,166,164,83,85,91,101,112,122,128,132,136,141,146,151,153,157,160,161,164,165,166,167,170,169,168,167,167,167,166,166,82,85,91,102,113,123,130,132,136,143,148,152,155,158,161,163,165,166,169,169,166,168,166,169,171,167,166,167,83,86,92,103,114,124,131,134,137,144,150,154,157,160,163,165,165,169,169,166,193,202,177,170,166,168,169,167,82,85,93,105,114,124,132,135,138,145,151,156,158,161,164,166,169,168,173,210,225,187,183,160,104,163,173,170,83,86,92,105,116,126,133,136,140,147,153,157,160,164,166,169,168,178,232,204,167,105,133,141,144,174,171,172,84,86,93,106,117,127,135,136,141,148,154,159,161,164,166,170,165,212,249,129,84,147,176,176,180,174,173,173,83,85,93,107,118,129,135,137,142,148,155,159,163,166,170,170,172,232,234,167,179,169,163,179,176,176,175,174,83,86,94,107,119,129,136,138,144,151,156,161,166,165,168,170,195,243,236,239,227,137,127,190,176,178,177,175,82,86,95,107,119,131,138,139,145,152,156,164,162,177,199,207,229,181,204,193,181,120,97,164,177,180,179,177,83,87,96,109,121,132,139,142,147,152,160,160,181,214,208,214,232,190,218,220,189,117,84,134,158,187,179,180,84,87,96,110,122,133,141,143,149,155,159,172,215,195,187,193,193,173,195,209,173,106,75,100,115,192,182,181,84,86,96,110,123,134,142,144,149,157,155,220,238,213,202,203,191,178,178,143,125,106,70,103,85,136,189,183,84,87,97,110,122,134,142,144,150,157,161,236,239,214,178,179,194,190,179,126,102,114,61,99,103,94,168,189,84,85,96,112,123,135,143,145,149,156,165,232,234,199,152,122,134,154,157,112,110,111,54,96,105,112,180,187,84,86,98,112,124,137,142,144,150,157,168,238,237,169,116,95,65,164,156,102,118,88,74,108,102,145,194,186,83,86,99,113,124,136,143,146,153,157,171,246,223,164,119,80,88,164,133,105,94,59,91,114,117,187,191,191,83,85,99,112,125,138,144,146,154,155,180,248,214,161,124,90,81,92,92,74,66,75,92,104,150,200,191,192,80,83,98,113,124,136,142,144,153,153,188,245,207,159,124,87,55,61,67,79,98,99,98,103,179,195,192,192,80,82,96,111,125,137,144,145,154,154,199,242,201,161,124,97,75,87,101,107,113,106,95,142,198,194,193,192,78,82,95,110,124,137,145,146,155,155,198,232,193,157,127,103,86,91,111,116,116,100,114,197,196,195,195,194,77,80,94,110,125,136,144,146,155,155,199,222,183,158,132,109,97,93,114,119,118,94,154,205,194,196,195,194,73,77,91,108,123,136,142,146,153,156,208,212,187,174,146,120,105,95,111,117,107,120,195,198,197,195,195,195,75,79,92,106,120,133,140,143,152,158,222,218,201,187,159,125,109,100,109,110,111,179,201,194,195,194,195,195
24,139,145,151,161,168,173,177,180,184,187,190,192,193,194,194,194,193,192,192,191,189,187,186,186,185,182,180,178,142,146,154,165,172,176,180,184,188,191,193,196,197,199,199,199,198,197,196,196,194,193,192,190,189,186,184,183,144,148,157,167,174,179,183,187,191,194,197,200,201,201,202,202,202,201,200,200,199,197,196,195,194,192,189,187,145,150,159,169,176,181,185,188,193,197,200,203,203,203,205,205,205,205,204,203,202,200,200,199,198,196,193,191,147,151,160,171,179,184,189,191,195,199,203,205,207,207,208,208,207,207,207,206,206,205,203,203,202,201,198,196,149,153,169,176,181,186,190,194,198,201,205,208,209,208,209,210,210,209,209,208,208,208,207,207,206,205,202,200,147,168,176,146,187,188,192,196,200,203,207,209,211,211,211,213,212,212,212,211,211,210,211,210,209,208,206,203,148,176,166,113,186,190,193,197,202,206,209,210,210,212,213,215,218,215,212,214,213,212,213,214,211,209,208,206,149,182,165,108,181,193,196,201,205,206,209,213,218,216,217,196,172,213,216,213,215,216,214,211,216,213,210,207,151,186,156,103,180,196,197,200,202,212,210,212,182,198,241,196,134,146,220,217,210,194,181,145,159,219,212,215,152,181,151,102,180,196,205,191,155,187,225,218,150,124,181,204,163,117,198,209,197,170,131,106,186,230,211,185,153,181,163,104,173,197,219,216,184,164,212,220,166,133,123,204,178,133,153,177,206,145,114,185,200,153,97,75,155,183,176,113,157,201,213,237,228,193,154,220,188,162,126,189,180,128,111,195,181,111,105,115,80,63,70,65,159,175,193,158,162,193,212,209,237,214,157,168,213,169,120,143,162,108,137,210,141,97,71,64,76,81,75,73,162,166,203,186,179,196,212,175,194,217,161,116,206,188,130,91,104,111,183,186,116,76,68,66,63,79,75,68,163,165,193,204,199,217,218,199,175,191,157,101,180,202,138,80,86,162,191,156,96,58,63,75,59,67,77,74,164,170,185,226,207,193,199,185,159,171,163,121,133,164,111,104,133,165,162,127,76,70,51,67,70,60,69,78,163,172,181,224,209,177,188,175,142,148,166,145,119,118,160,184,174,172,138,103,48,72,64,52,66,62,64,72,164,174,182,215,217,162,152,163,148,150,166,177,156,173,232,218,190,181,124,87,36,57,76,58,55,63,61,64,133,139,135,174,220,177,139,153,185,158,199,226,208,229,237,212,189,172,115,87,46,42,70,73,59,61,56,61,123,125,119,141,225,203,159,139,175,173,209,226,232,242,230,202,181,159,106,77,60,34,58,74,68,65,56,54,128,129,129,132,212,215,179,150,150,178,198,231,237,233,216,192,172,152,101,58,70,34,47,69,68,69,61,50,129,130,132,125,194,223,197,167,150,173,187,229,237,225,206,183,163,150,104,46,72,44,35,61,70,66,63,58,127,129,132,123,173,224,207,178,163,172,178,219,231,214,197,180,156,143,102,47,68,56,30,49,68,64,62,61,127,128,130,126,147,217,210,190,172,176,170,206,223,205,195,179,144,132,95,48,64,66,36,36,63,65,58,59,127,127,128,129,128,195,210,198,180,182,168,186,213,200,198,173,132,124,79,35,60,68,48,31,52,67,54,56,126,127,127,129,125,152,212,205,190,183,172,167,194,193,186,161,126,117,70,29,46,70,59,37,37,63,57,48,125,127,127,127,130,125,184,209,193,183,169,154,165,179,166,146,124,106,57,29,34,66,63,48,32,49,63,46
14,190,193,192,193,195,196,197,197,197,197,197,195,195,197,198,196,198,198,199,197,197,196,196,196,195,193,192,194,192,193,194,196,197,198,197,198,201,198,198,198,209,196,193,201,200,197,199,199,199,200,199,198,198,196,196,195,194,195,196,197,197,200,202,204,201,199,215,217,207,146,145,214,201,202,202,201,201,201,201,201,201,198,197,197,194,196,199,199,200,201,202,200,201,236,223,178,138,115,101,169,197,196,202,202,203,203,202,200,200,200,199,198,197,198,200,202,203,203,198,209,245,239,157,105,102,94,108,148,180,137,149,209,203,204,204,203,201,202,202,201,198,199,202,203,203,200,210,255,238,184,120,90,108,86,96,130,148,104,156,214,204,207,207,205,204,204,204,202,201,202,205,204,204,198,247,255,183,116,88,89,96,80,86,92,113,98,166,212,211,208,210,209,208,207,205,204,202,204,204,206,207,202,255,253,155,80,62,67,82,105,118,93,130,167,158,142,188,214,209,211,210,208,206,206,203,204,205,209,206,218,255,239,152,91,75,78,70,86,94,72,87,141,150,100,187,219,209,213,212,209,209,207,203,204,207,211,205,231,255,213,123,80,86,100,68,79,90,100,102,109,99,94,186,209,216,213,212,211,210,211,208,209,210,213,204,245,255,221,141,84,87,102,82,95,111,122,111,94,124,132,135,125,204,219,213,214,213,212,209,210,213,214,209,255,255,233,168,114,87,81,97,103,73,90,101,142,143,130,124,141,160,210,220,216,214,213,211,213,215,211,221,255,255,231,165,122,97,77,110,100,131,185,207,227,218,198,167,196,146,202,224,218,217,216,211,212,214,211,230,255,255,232,165,118,102,85,101,86,202,234,221,218,223,211,178,190,144,212,222,218,218,216,212,213,219,213,235,255,255,240,181,128,95,94,81,130,231,218,221,221,227,192,171,185,140,217,222,219,219,218,213,214,219,214,238,255,255,244,189,138,95,87,88,212,228,223,224,222,231,188,171,187,128,200,228,220,220,220,214,218,222,215,240,255,255,248,194,143,104,72,120,235,221,226,227,224,236,175,152,179,134,161,234,220,223,222,216,219,223,215,242,255,255,247,200,150,113,65,168,248,225,230,225,233,201,163,174,173,139,149,235,223,224,225,219,222,222,216,244,255,255,250,203,149,122,72,123,203,219,218,233,213,144,168,181,166,126,197,233,224,225,224,219,221,223,218,248,255,255,250,199,154,131,96,69,89,112,119,154,146,146,168,171,142,167,238,226,226,226,226,221,221,227,221,254,255,255,248,198,170,149,109,84,98,103,123,134,136,147,163,150,139,227,233,228,229,229,227,221,224,227,223,255,255,255,247,204,189,161,126,90,110,125,137,145,149,139,145,126,203,239,230,232,230,230,228,224,227,228,223,255,255,255,250,219,200,163,130,105,114,133,139,143,145,141,111,162,243,231,234,232,231,232,231,226,228,229,229,255,255,255,254,234,203,164,132,115,109,132,138,137,141,128,129,229,236,234,235,233,233,234,234,227,229,229,233,255,255,255,255,239,202,159,127,115,109,127,134,132,131,125,220,239,233,236,236,235,233,233,234,226,228,227,235,255,255,255,255,235,187,132,109,107,107,126,126,136,111,190,248,234,237,236,236,236,235,234,234,231,235,234,254,255,255,255,249,212,147,93,95,95,104,115,124,119,148,244,237,239,238,239,237,236,236,236,236,213,195,172,177,174,152,146,122,102,81,62,59,72,96,107,108,133,231,241,239,241,239,241,241,237,238,237,236
6,98,106,112,115,118,124,129,132,137,142,144,146,149,152,154,157,159,161,162,164,164,164,165,166,167,166,166,166,101,107,111,113,118,125,130,133,137,141,145,147,150,153,155,158,159,161,162,165,166,166,167,167,167,167,167,167,100,108,112,113,118,125,132,135,137,142,146,150,153,154,156,157,162,163,165,164,166,167,169,169,167,167,166,166,101,109,113,115,121,126,132,137,140,145,147,150,154,156,157,159,164,166,168,166,169,169,172,171,169,169,168,169,102,111,112,116,120,126,131,136,141,146,148,151,155,156,158,161,164,167,167,167,171,170,172,174,172,172,175,174,103,110,113,117,120,127,132,137,142,147,148,152,155,156,158,160,162,163,163,165,161,165,165,167,166,163,157,160,104,111,115,118,119,126,134,137,141,143,155,161,157,162,167,169,170,177,176,169,173,179,191,178,166,159,133,131,102,108,112,113,118,125,130,133,149,175,188,182,162,152,171,187,193,195,188,171,175,187,193,189,179,163,145,144,101,108,111,115,116,121,139,166,188,192,189,177,157,116,110,145,152,151,148,142,145,134,124,126,123,113,107,116,104,114,113,109,127,160,192,192,181,179,184,188,166,107,62,64,65,73,89,89,93,112,133,141,143,147,150,156,102,106,120,153,182,195,188,180,182,189,192,175,131,101,66,56,52,41,76,141,162,173,177,177,179,180,177,177,110,150,186,197,191,190,182,184,191,188,170,141,106,87,70,67,76,67,62,113,149,175,172,175,174,173,172,173,188,197,193,191,188,191,192,187,186,186,183,180,137,80,65,50,65,83,73,59,36,127,186,174,177,175,174,175,197,193,195,194,189,184,186,183,185,189,198,192,130,80,71,64,52,67,84,90,63,36,141,183,174,176,176,175,202,200,197,188,188,185,188,179,182,196,198,154,109,87,77,81,83,65,48,60,72,49,70,183,173,176,174,174,203,198,190,180,177,173,174,170,177,187,177,137,102,82,84,88,91,81,52,45,45,53,85,177,173,173,173,172,195,192,182,174,175,172,171,167,169,176,174,152,102,65,39,70,94,128,81,62,44,48,76,95,92,92,91,90,191,192,192,183,178,179,180,178,175,182,180,150,91,72,57,52,55,79,90,80,59,59,52,49,49,50,49,47,196,196,188,180,179,176,177,173,178,186,172,132,83,78,85,83,72,57,61,66,72,64,59,61,62,61,61,60,188,185,177,173,173,164,157,154,164,168,149,121,94,91,89,82,72,61,55,53,68,69,65,61,59,58,58,57,172,169,169,161,152,149,137,140,154,147,127,108,94,86,91,89,76,64,62,67,64,67,67,61,62,60,58,57,145,150,141,139,130,131,127,123,123,110,90,76,73,63,62,70,72,71,70,66,62,64,63,60,61,59,56,57,96,99,105,104,108,98,88,78,71,68,66,65,66,65,60,59,61,67,65,63,64,64,64,61,64,59,57,57,81,66,65,66,59,59,64,64,62,66,68,69,68,67,69,67,66,66,65,65,63,61,63,62,63,61,58,59,65,61,51,42,54,64,67,69,69,70,70,68,68,68,67,66,66,67,66,65,63,60,61,61,60,59,57,59,52,38,34,43,59,70,68,68,70,70,68,68,67,68,68,66,66,66,65,64,64,62,60,61,62,60,59,58,83,71,54,50,56,68,69,69,68,68,67,67,67,67,66,65,65,65,65,65,63,61,60,60,61,58,58,58,93,67,55,51,56,67,70,69,67,67,68,67,66,67,65,65,64,65,65,65,63,61,61,60,60,57,58,59
15,127,131,135,135,111,101,102,103,92,60,104,110,52,12,48,67,71,75,80,85,91,104,114,119,126,130,134,138,128,132,135,135,110,104,104,106,87,66,107,110,44,16,53,67,71,76,80,86,92,105,114,119,126,131,134,138,129,133,137,134,109,107,106,108,79,74,110,107,35,21,57,67,72,76,81,87,93,107,115,119,126,131,135,139,131,134,137,131,109,106,107,110,73,82,112,103,26,23,59,67,72,77,81,87,95,107,114,120,127,131,136,140,133,136,138,132,128,119,112,107,75,90,112,96,18,25,61,67,72,76,82,88,96,109,115,122,128,132,137,140,132,137,139,133,125,124,121,117,109,107,109,95,54,51,69,71,73,77,82,87,97,111,116,123,129,133,137,140,134,138,141,127,109,103,94,103,108,110,113,118,113,106,103,99,95,91,88,88,98,112,117,124,130,133,138,141,135,139,141,125,111,105,88,85,88,88,96,118,115,113,111,114,121,121,106,94,92,97,115,124,130,134,139,142,136,140,142,123,115,114,114,97,67,87,84,99,102,101,98,105,124,135,125,106,96,76,92,123,131,135,138,142,137,140,141,121,115,115,118,94,69,116,113,66,71,91,88,109,131,136,129,119,112,87,73,110,132,136,139,143,139,142,142,119,116,116,120,88,74,120,121,42,21,63,93,138,133,137,140,136,128,106,82,81,126,137,140,143,139,142,142,119,119,118,123,90,85,119,117,32,20,70,108,144,114,135,145,150,143,116,88,71,95,136,141,143,140,143,139,121,121,126,119,105,108,109,103,44,71,120,118,96,101,138,146,153,143,116,94,78,70,116,142,144,141,145,137,121,125,128,112,115,127,124,104,85,99,105,95,72,94,152,140,129,129,117,102,84,69,81,137,145,142,145,135,121,125,117,94,103,125,126,103,92,101,100,100,105,116,120,105,105,116,116,100,83,73,63,106,145,143,146,134,124,127,124,103,88,114,113,94,96,104,104,109,117,118,101,83,87,101,102,92,81,74,65,71,127,144,146,133,127,128,128,118,72,112,92,78,88,97,100,108,117,110,90,78,79,87,89,89,87,79,71,63,79,144,146,133,129,129,130,111,75,123,79,57,64,80,86,98,108,105,90,79,80,84,84,89,91,83,77,68,60,145,147,132,131,130,132,108,94,93,64,49,42,86,96,80,93,95,87,84,86,86,86,89,89,83,78,72,64,145,145,131,132,130,133,125,87,62,55,41,24,122,132,80,87,91,87,90,95,96,93,91,87,83,80,74,68,145,145,132,134,131,138,118,68,53,70,34,14,97,134,99,91,111,109,113,114,106,97,91,84,82,83,79,71,147,143,131,135,134,135,87,61,82,116,33,16,62,105,112,82,90,114,115,112,105,94,87,81,81,83,83,77,148,142,131,137,136,139,76,96,135,124,26,20,63,74,87,73,64,94,109,101,96,89,84,83,84,86,85,82,148,143,134,140,140,142,72,119,145,121,20,23,66,73,72,73,76,91,117,101,89,85,83,85,90,90,84,81,148,140,137,142,143,141,69,125,148,114,14,27,68,72,72,75,79,82,109,127,106,83,79,79,85,91,90,84,146,139,139,143,143,136,69,133,149,103,11,30,69,71,71,74,78,82,89,124,140,114,92,80,82,92,99,90,146,140,143,145,145,129,74,139,151,91,10,36,71,70,70,73,78,81,88,105,136,116,101,107,106,110,105,97,148,143,145,146,147,123,76,142,152,81,10,39,71,69,70,73,77,81,88,100,111,108,117,125,119,120,118,113
15,100,102,101,102,104,106,107,109,111,115,122,132,142,149,155,160,163,164,165,169,173,176,178,180,183,185,186,187,103,102,101,103,104,107,106,109,111,114,122,133,142,150,154,159,163,164,167,170,173,177,180,181,184,185,187,190,104,102,102,102,103,107,108,110,111,115,125,134,141,151,155,160,164,166,169,170,174,177,180,182,183,186,189,190,104,102,102,102,103,106,102,107,113,116,126,134,142,149,156,161,164,167,169,172,176,178,182,183,185,188,191,193,104,102,102,103,101,103,143,124,108,112,125,136,145,150,156,163,165,166,169,171,175,177,182,184,185,189,191,193,103,101,101,103,96,121,207,179,154,133,127,133,141,151,160,164,166,167,168,172,175,180,182,185,188,189,190,192,103,102,102,103,99,110,177,182,169,174,160,156,145,142,148,156,161,165,169,175,180,181,183,184,188,189,191,194,103,103,103,104,104,100,117,146,133,149,161,167,166,162,149,148,146,150,153,156,164,174,182,190,187,191,192,194,102,102,102,103,103,105,105,110,114,125,136,134,155,168,162,158,154,158,161,154,138,134,125,161,196,189,195,196,102,101,102,103,103,105,108,110,110,118,124,121,129,148,147,145,138,152,175,179,160,142,122,95,162,201,192,197,102,102,102,102,103,104,107,111,110,118,130,138,143,144,142,142,126,151,172,176,165,155,149,117,105,180,198,195,104,102,101,102,103,105,106,110,110,117,129,137,147,155,158,157,151,181,177,171,174,171,162,145,119,108,187,200,104,102,102,102,103,105,107,108,112,119,125,139,148,151,163,166,183,203,165,153,185,168,173,166,141,102,113,196,103,102,102,102,104,106,106,109,112,113,153,159,153,154,146,163,196,162,150,128,190,152,182,182,146,120,93,127,101,102,102,102,104,104,105,108,109,115,182,174,174,181,168,138,144,128,98,106,180,137,185,183,148,125,105,91,102,101,102,101,102,104,106,108,110,117,150,153,178,200,182,142,141,144,116,117,153,152,178,176,149,130,107,99,102,101,101,100,100,103,106,107,110,117,128,142,164,187,161,145,163,156,152,153,147,145,133,148,141,124,105,99,100,100,99,100,99,100,102,105,107,116,129,137,149,148,130,148,163,157,157,168,166,142,106,111,122,113,108,103,99,96,98,98,100,101,101,103,106,116,129,138,137,177,155,124,138,158,164,168,165,135,105,104,109,106,109,110,99,96,96,97,98,100,102,103,107,116,128,140,134,197,194,126,75,92,145,157,158,130,107,109,108,106,111,111,99,96,95,96,98,98,102,102,107,118,128,139,138,184,183,122,78,67,83,137,136,113,106,109,110,109,112,112,98,96,95,95,97,99,100,100,106,117,128,139,138,181,184,106,100,106,72,107,135,111,109,112,117,115,113,109,96,94,93,94,96,98,100,99,104,113,126,137,139,175,183,93,140,126,108,115,130,143,130,127,120,116,111,107,95,94,92,92,95,96,98,100,104,114,124,135,135,175,190,80,140,173,102,145,134,137,119,114,110,109,109,109,90,88,86,86,89,89,90,91,95,107,120,132,131,182,178,81,125,197,117,115,179,106,108,104,94,98,100,100,142,139,136,133,130,129,128,128,130,134,141,145,146,167,128,97,156,177,118,132,186,157,174,145,86,83,84,84,124,124,122,122,119,121,124,126,126,124,122,118,117,123,101,109,130,127,116,128,133,136,133,133,106,87,87,96,114,113,113,111,111,111,112,111,111,112,112,107,106,110,115,116,111,111,115,114,112,110,110,111,115,111,116,114
19,128,128,128,130,131,132,133,133,133,134,134,133,133,132,132,132,131,130,129,128,128,128,128,127,126,125,126,125,128,129,130,131,132,133,133,134,134,134,134,134,133,133,133,133,132,132,131,130,130,129,128,128,127,128,127,127,128,130,132,132,133,134,135,135,136,135,135,135,134,134,134,134,133,132,132,132,131,131,130,130,129,129,127,127,129,131,132,134,134,135,136,136,137,137,137,136,135,135,134,135,135,133,133,132,132,133,132,130,129,129,128,128,130,132,132,134,135,136,137,138,138,139,138,138,138,137,136,136,135,134,134,133,133,133,132,131,130,129,129,129,131,133,133,134,136,138,138,139,139,139,138,139,139,139,138,137,136,135,134,134,133,133,132,132,130,131,130,130,132,133,134,136,137,138,139,140,140,140,140,139,138,138,138,140,139,137,136,135,135,135,133,133,132,132,131,130,132,134,136,138,139,140,140,141,140,140,140,140,139,138,134,129,135,138,137,138,138,135,134,134,132,130,132,130,134,135,137,138,140,140,141,142,141,142,141,140,139,143,129,99,106,139,129,130,133,131,128,132,130,87,127,133,135,136,138,139,140,141,142,141,141,139,136,138,138,143,138,133,141,143,133,133,142,136,130,117,90,80,131,133,136,137,139,139,140,142,142,144,146,126,119,125,131,134,127,119,112,118,110,118,130,114,94,87,99,128,136,134,135,138,139,139,141,142,141,141,127,121,130,131,124,125,121,115,87,79,79,83,110,110,122,132,139,137,134,135,138,139,140,141,143,138,145,157,143,144,145,138,131,120,92,74,80,64,61,118,145,142,141,139,137,136,135,136,139,140,141,141,145,137,164,173,154,140,133,129,125,112,85,62,73,66,68,134,142,140,139,138,137,137,137,137,138,139,141,142,145,138,162,165,140,118,97,90,91,99,89,68,74,67,72,138,141,141,140,140,138,138,138,138,138,140,142,143,145,138,150,156,131,92,83,57,53,111,94,73,75,67,81,143,142,142,141,141,141,139,139,138,139,140,142,143,146,136,144,156,129,96,66,45,91,110,89,75,76,66,98,149,143,143,143,142,142,140,140,138,140,141,143,144,147,135,142,160,133,107,85,59,63,63,61,66,67,72,81,146,145,144,143,143,142,141,140,139,141,142,144,145,148,135,141,159,137,112,89,79,56,38,36,44,58,67,65,136,147,144,144,143,142,141,140,139,141,143,145,145,149,134,135,158,134,113,92,81,80,63,55,59,67,72,67,127,150,145,145,143,142,142,141,141,142,143,145,146,148,137,132,155,133,112,93,82,82,71,64,67,72,77,72,130,150,145,145,144,143,143,143,142,142,143,145,147,150,140,130,153,133,109,93,83,82,72,64,69,74,77,78,139,149,146,145,145,144,144,144,143,142,144,145,147,150,143,134,148,127,106,91,82,80,76,70,72,79,79,93,150,148,147,146,146,145,144,144,143,144,145,146,147,150,143,142,151,127,105,92,84,80,79,78,80,85,77,120,153,147,148,147,146,146,145,144,144,145,145,147,149,151,141,144,154,132,110,96,86,80,83,83,85,81,99,148,149,149,149,149,147,146,146,145,145,143,145,146,148,153,136,145,150,132,119,100,85,80,86,86,83,113,147,151,150,149,148,148,147,147,147,146,144,143,145,145,145,147,138,148,143,124,113,99,84,84,85,78,101,150,150,148,149,148,147,147,146,146,145,144,144,142,145,146,147,145,147,154,146,129,112,101,88,81,81,74,114,150,150,149,149,148,147,147,147,146,145,144,144
18,157,157,157,159,160,160,159,160,160,158,157,157,156,156,155,154,155,154,153,152,151,151,149,148,148,147,145,144,157,158,159,160,160,161,161,160,161,160,159,158,157,157,157,158,158,155,155,154,153,151,150,149,148,147,145,145,160,159,159,161,160,161,163,162,161,160,162,162,164,162,161,156,151,160,157,158,158,157,150,150,150,149,148,146,160,160,161,162,161,162,163,164,162,161,161,135,115,150,157,123,98,115,163,146,126,135,155,151,150,150,149,148,161,162,162,162,163,164,164,165,164,169,162,124,95,88,132,127,96,71,112,121,98,79,122,160,151,150,149,149,162,162,163,163,164,165,167,148,123,139,161,131,114,86,113,151,101,90,67,111,105,77,68,152,154,151,150,149,163,164,165,165,165,165,172,147,122,104,126,151,115,97,93,150,104,97,94,91,100,90,58,131,159,152,151,150,163,165,165,167,167,166,170,158,140,126,97,136,130,100,78,116,120,109,106,97,113,102,60,131,159,153,152,151,163,165,166,168,167,172,158,157,150,130,109,95,129,105,83,92,128,117,108,107,111,98,60,135,161,153,154,153,165,166,167,168,166,174,161,127,139,128,101,67,118,111,83,77,119,111,108,104,101,96,58,122,164,154,153,152,166,166,168,169,167,173,151,91,115,126,77,58,98,94,67,65,101,77,95,121,118,100,64,108,166,155,154,153,166,167,168,169,168,175,151,118,112,120,72,60,83,75,60,57,80,60,80,151,129,106,72,92,168,156,156,155,167,168,168,169,169,175,160,143,108,115,90,66,79,84,62,55,77,60,57,132,133,111,82,74,162,159,157,155,168,169,169,169,170,176,163,136,110,94,83,59,82,92,59,54,68,98,128,133,150,124,93,61,146,163,158,157,169,169,169,170,171,175,145,118,101,84,69,58,67,65,57,65,96,145,151,138,140,128,94,57,133,168,158,158,168,169,171,172,172,173,157,136,117,99,82,80,73,76,95,118,146,156,150,146,123,114,86,54,138,167,158,158,170,171,173,173,172,175,166,144,123,98,81,80,89,103,124,143,161,158,144,134,116,92,74,63,157,162,160,160,171,172,173,173,173,174,167,149,127,104,90,88,92,104,141,158,167,157,136,123,108,87,56,91,171,160,161,160,171,172,172,173,174,172,168,156,134,116,99,97,89,117,155,164,162,149,131,116,103,80,49,133,170,161,161,159,172,173,173,174,174,171,165,154,135,119,105,102,95,126,162,158,153,142,126,109,97,71,63,163,164,162,161,161,172,174,175,176,176,170,157,146,134,122,111,110,100,128,159,151,145,134,121,103,90,56,95,174,162,164,162,161,172,174,175,175,176,173,156,148,139,125,116,119,104,131,151,148,138,121,111,96,81,49,136,172,163,164,163,161,174,175,175,175,177,177,161,147,140,130,123,122,105,132,146,143,134,115,100,87,64,67,169,165,165,163,163,162,174,176,176,175,176,180,169,147,143,137,126,117,103,121,142,135,124,108,90,79,45,117,177,165,166,165,164,162,174,176,176,176,176,178,175,159,148,138,128,119,107,110,130,127,113,96,83,61,62,168,168,167,167,166,164,163,174,174,175,177,177,179,178,167,153,142,131,124,113,108,121,120,104,89,77,43,119,178,166,167,167,166,165,162,174,175,175,175,178,178,178,173,160,140,127,120,116,114,116,114,101,87,62,67,171,170,169,168,168,167,165,162,175,176,176,176,178,179,177,173,160,142,136,135,130,124,112,110,96,81,49,118,180,168,169,168,168,167,165,163
24,166,167,168,169,169,170,172,172,172,172,173,173,172,172,172,171,170,169,167,166,166,164,163,161,160,158,157,155,170,171,172,173,174,175,175,176,176,177,177,175,176,176,175,175,174,173,172,170,169,168,165,167,166,161,160,160,173,175,176,177,178,178,178,181,181,180,181,179,177,179,180,178,178,176,176,175,174,173,169,156,157,169,165,163,176,178,180,180,182,183,184,184,183,184,182,183,183,182,183,182,181,181,179,177,176,174,178,145,90,170,168,165,179,182,183,184,184,184,185,184,185,188,188,185,185,184,184,184,184,183,182,181,180,175,185,149,69,162,172,168,182,184,185,185,186,188,189,189,191,185,182,192,187,187,187,187,186,185,184,183,183,179,192,147,71,166,176,172,185,187,188,188,191,192,192,191,195,179,103,172,198,191,194,192,191,189,188,186,186,183,197,133,78,177,178,175,189,191,192,194,194,193,194,194,199,168,94,105,205,193,196,196,194,193,192,191,188,190,203,129,89,187,179,178,192,193,195,196,196,196,196,195,201,183,127,72,187,200,196,198,198,195,194,193,187,199,192,108,101,195,181,180,195,196,197,197,199,200,200,200,200,198,153,68,153,211,196,199,200,200,195,197,195,215,175,76,121,198,182,184,198,198,201,201,201,201,202,201,201,205,173,91,106,215,199,203,200,194,204,192,142,152,178,69,157,197,187,187,200,201,203,203,203,202,203,203,202,206,188,129,70,196,209,201,170,133,156,172,119,56,107,85,187,195,191,189,203,203,204,205,205,206,206,206,205,208,197,146,61,143,222,184,172,151,124,118,115,113,58,82,202,193,193,191,203,205,207,207,208,208,209,209,209,209,205,164,107,94,215,170,186,149,139,132,143,150,43,102,213,192,194,193,206,208,208,209,210,211,211,210,210,210,212,187,153,69,140,135,188,170,121,127,129,127,61,109,214,194,196,194,208,208,210,211,210,212,213,213,212,211,215,202,157,104,111,116,157,188,102,40,101,164,98,63,205,200,199,196,208,209,211,212,213,213,213,213,214,215,218,206,186,176,118,83,110,172,92,23,66,168,131,52,141,214,197,198,211,212,215,216,216,216,216,216,216,216,218,208,198,173,93,56,95,147,69,21,97,188,177,95,58,205,201,200,213,214,217,217,218,218,218,218,219,219,218,216,199,159,122,100,102,144,91,54,191,198,171,101,48,193,205,201,214,217,218,219,219,220,221,220,221,221,221,221,202,186,171,118,98,145,95,150,212,181,153,69,59,208,202,203,214,216,219,220,220,221,222,222,221,221,222,224,199,189,192,131,113,83,136,216,208,165,137,58,83,222,202,203,212,214,218,218,219,221,220,220,221,221,221,225,202,182,193,155,129,79,189,211,194,160,126,52,111,223,203,203,214,216,218,219,220,221,220,220,221,222,223,225,207,179,174,164,145,87,165,206,183,147,111,37,132,221,202,203,217,216,218,220,221,222,222,223,223,224,223,227,213,173,174,172,164,110,147,208,181,132,89,30,171,218,206,205,217,217,219,220,222,223,223,224,224,224,226,226,225,186,180,169,175,130,112,191,159,107,54,46,212,209,208,206,226,226,227,227,228,229,229,229,228,228,230,228,233,201,187,177,172,133,87,150,123,78,20,87,227,206,206,209,170,174,181,185,191,195,199,204,208,212,217,218,224,204,189,174,155,126,99,104,118,66,21,175,227,215,217,204,88,87,86,89,90,92,95,100,101,103,106,110,104,158,202,169,156,149,119,103,123,51,41,153,156,154,134,84
10,54,55,57,61,62,77,99,114,142,139,130,157,159,168,173,177,182,187,189,193,196,198,200,201,201,203,204,204,54,55,58,61,62,79,102,114,161,148,91,143,169,168,175,180,184,189,193,197,199,201,202,205,205,205,207,207,54,55,59,61,64,81,103,121,146,153,108,84,158,176,177,182,187,192,196,200,202,203,206,208,208,209,209,209,55,56,58,61,65,85,107,126,137,145,119,82,87,181,181,185,190,194,197,202,205,207,209,210,210,211,212,212,55,56,59,62,66,88,110,128,140,148,122,100,68,127,193,187,192,196,201,205,209,211,212,213,213,213,215,215,55,56,60,60,67,91,112,130,143,148,146,118,96,69,168,196,194,200,205,209,211,214,216,216,216,215,217,217,55,56,60,62,68,93,113,132,142,149,164,144,106,75,93,200,197,204,209,211,213,217,217,218,217,218,219,219,55,58,60,58,75,98,120,132,160,114,142,173,133,114,68,168,210,205,210,214,216,217,218,218,220,222,222,222,55,59,54,110,134,78,102,144,174,96,81,180,164,131,84,114,214,205,211,214,217,218,221,221,222,223,224,223,55,59,52,121,122,58,48,87,130,105,51,128,189,129,98,69,191,212,211,215,218,221,223,223,225,226,226,225,55,58,57,68,85,61,53,46,57,98,79,60,167,142,96,65,131,224,211,218,219,223,225,226,226,226,227,228,55,57,61,59,81,84,57,50,50,97,108,78,76,140,113,110,66,195,220,219,221,224,226,227,227,227,227,229,55,56,61,62,82,109,112,84,57,89,126,101,63,64,93,116,65,126,229,219,225,225,227,228,229,230,231,230,54,56,60,62,84,109,133,149,123,74,130,126,95,53,56,82,74,69,206,226,225,227,228,229,230,232,232,232,54,54,57,62,86,109,125,160,172,87,64,161,131,91,52,48,64,54,178,233,224,228,228,230,231,231,232,233,53,55,56,62,87,116,137,165,176,133,27,133,174,121,86,58,59,47,159,233,221,225,226,229,230,231,232,233,53,53,55,63,83,143,164,154,194,159,59,68,197,143,117,82,57,42,140,236,223,226,228,229,230,232,232,233,50,52,53,63,84,130,179,147,181,169,96,105,196,158,137,95,57,41,124,234,223,228,231,231,232,233,233,234,53,52,50,61,88,109,159,153,149,164,121,148,183,139,133,89,64,49,114,235,225,227,230,230,232,232,233,233,95,92,92,95,103,107,129,155,150,179,138,131,182,128,127,91,67,54,101,228,226,230,233,235,238,239,241,243,88,90,94,97,96,90,99,158,162,173,183,127,163,142,129,99,70,58,76,134,138,142,147,151,155,160,165,170,92,92,93,97,100,103,95,163,193,160,194,134,88,143,127,103,75,64,63,104,112,112,113,111,111,110,109,110,92,93,95,98,101,102,97,127,199,178,167,154,87,116,124,100,77,65,59,104,123,117,119,121,121,122,123,123,91,94,95,98,100,102,103,107,179,189,179,190,177,131,114,94,76,64,61,96,120,115,116,119,119,119,121,121,92,94,95,97,100,101,103,98,140,183,186,180,190,162,109,84,76,69,63,94,119,117,116,117,118,118,120,120,91,92,94,96,98,100,101,103,105,165,188,177,173,170,117,81,83,76,64,93,118,116,116,118,117,117,119,120,90,90,92,95,99,99,102,105,101,124,179,173,159,148,129,105,101,84,61,83,117,116,116,121,116,117,118,116,88,90,91,94,96,99,101,102,104,100,149,163,148,133,132,130,120,97,68,69,111,116,117,117,117,119,113,149
10,69,75,84,89,92,96,98,100,102,105,106,107,109,110,111,113,114,116,116,117,118,118,120,120,121,122,123,123,69,76,85,90,92,96,99,100,103,105,107,108,109,111,113,114,111,112,119,118,119,121,121,121,122,123,125,125,70,78,88,91,93,97,99,101,104,107,107,109,110,113,113,120,111,84,119,119,121,121,123,123,125,126,126,127,72,79,88,91,94,98,101,103,105,107,108,110,112,114,113,127,118,74,110,123,122,123,124,125,126,126,127,128,72,81,89,92,95,98,101,104,106,107,109,111,113,114,112,128,122,78,102,125,122,125,126,126,127,127,128,129,73,82,89,92,95,99,103,104,106,108,109,110,112,117,115,123,126,89,93,128,122,125,126,127,128,128,128,129,75,83,90,92,96,100,103,104,106,108,109,112,117,97,113,125,135,101,83,127,124,125,126,128,129,128,129,130,76,85,91,94,98,101,103,105,107,108,109,114,125,79,84,129,132,111,77,122,127,126,127,128,129,131,131,131,77,86,92,94,98,101,102,107,111,112,113,123,113,83,63,125,125,108,75,117,129,128,128,128,129,130,130,130,78,86,92,95,97,103,113,93,85,83,90,118,123,100,64,108,124,100,72,109,131,128,129,129,131,131,132,132,79,87,92,95,97,105,106,77,58,55,53,70,125,112,66,85,115,89,72,101,133,128,131,131,131,133,133,133,80,89,92,96,100,104,100,83,63,54,71,59,103,122,77,80,100,76,72,91,135,128,131,131,132,133,134,133,80,88,93,97,100,104,108,108,106,92,71,53,95,128,88,71,77,66,72,82,134,129,132,132,133,134,133,133,81,89,92,97,100,105,107,105,130,124,71,48,114,129,97,59,54,65,73,76,132,131,132,133,133,133,133,133,81,89,92,96,100,102,105,105,131,119,77,40,125,131,102,67,49,67,75,66,124,133,132,133,134,134,134,134,82,90,93,97,101,101,120,120,129,126,76,34,138,131,101,71,51,63,73,59,114,137,133,134,134,135,135,135,83,90,94,97,102,99,131,130,123,122,68,74,143,122,98,67,51,57,69,51,106,138,132,134,134,135,136,136,84,90,93,99,101,102,116,130,119,115,86,140,132,117,102,69,54,57,60,53,122,135,133,134,136,136,136,136,85,90,93,99,102,105,109,114,100,115,126,152,131,112,99,74,57,58,51,72,138,131,133,134,135,136,136,137,86,90,94,98,102,106,108,117,98,129,149,146,129,109,94,74,58,55,45,101,138,131,133,134,135,137,137,137,85,90,94,98,102,106,107,131,120,109,146,142,126,108,92,76,59,51,52,127,134,133,134,135,136,137,137,136,86,90,94,98,101,105,107,139,130,103,142,140,127,106,91,77,62,45,75,138,131,133,134,136,136,137,137,137,86,91,94,98,101,104,110,145,136,122,146,136,126,109,92,78,61,43,109,137,131,134,136,136,136,136,137,138,86,91,94,98,102,104,113,149,139,129,141,137,132,111,92,79,54,56,132,132,133,135,135,136,137,137,137,138,87,91,95,100,103,105,112,148,135,134,137,135,138,115,90,79,49,82,139,130,133,134,135,136,137,138,138,138,87,90,94,99,102,104,112,143,129,130,136,136,138,117,91,75,47,109,136,131,134,135,136,136,137,138,138,138,87,91,95,100,103,105,111,129,128,138,138,134,134,113,89,65,64,133,132,132,134,135,136,136,137,137,138,139,86,90,95,100,102,106,108,133,139,143,137,129,130,109,86,57,88,137,130,132,133,135,136,137,137,137,138,139
5,171,173,174,178,179,180,180,180,180,179,188,143,150,179,177,177,176,174,174,174,172,171,171,170,162,94,49,50,173,175,176,179,180,181,182,182,182,181,198,125,125,180,179,178,177,178,168,158,174,172,173,173,132,54,56,69,175,177,179,180,182,183,184,184,185,187,197,117,137,183,181,180,179,182,142,113,175,175,174,164,86,45,59,78,176,179,181,182,184,185,186,185,169,194,183,109,160,186,182,181,178,162,108,120,177,176,176,141,60,48,60,74,178,180,183,184,186,188,191,193,119,183,168,107,175,187,185,183,161,126,98,161,180,178,178,118,54,60,74,83,179,181,184,186,188,191,191,199,118,160,162,113,183,189,186,168,133,98,139,182,181,180,179,128,64,70,75,80,181,183,186,188,190,192,192,207,140,137,145,121,189,189,166,138,109,118,181,184,182,180,182,148,75,73,71,66,182,185,187,189,192,194,195,201,150,121,120,136,193,165,126,111,102,165,189,186,184,182,182,165,84,61,55,58,185,187,190,191,194,195,195,205,164,112,102,149,181,127,100,92,147,188,188,187,186,184,184,181,108,44,42,57,186,188,191,192,195,196,196,212,182,117,110,136,148,107,91,120,190,192,190,188,188,187,187,186,134,57,51,49,188,190,192,194,198,198,199,208,181,118,109,113,118,103,92,154,196,193,190,189,189,188,187,188,163,123,121,92,190,192,194,197,199,199,200,201,178,121,95,91,95,94,102,182,194,183,186,192,192,191,189,188,170,110,155,154,192,194,196,198,200,201,201,201,187,140,100,88,80,82,126,182,149,124,135,179,194,192,190,189,171,125,164,139,192,195,197,199,201,202,202,200,196,159,106,84,79,78,105,117,108,117,125,139,164,187,190,191,185,155,119,120,193,195,197,200,202,203,204,202,207,180,129,90,80,80,82,90,100,101,129,147,146,159,164,163,170,180,137,151,194,197,199,200,202,204,205,206,215,202,162,108,82,81,87,79,80,91,124,128,143,152,147,121,122,165,172,169,195,198,200,202,205,206,206,207,218,214,178,119,85,77,82,80,123,171,186,162,148,133,144,139,124,109,171,173,196,199,201,203,206,207,207,208,223,223,183,124,88,74,69,120,200,202,202,190,158,154,156,136,120,132,178,131,197,199,202,205,207,208,209,209,227,229,188,131,92,70,58,99,160,202,187,147,142,152,129,117,165,189,191,154,197,199,202,205,207,209,210,211,227,231,191,136,96,66,63,77,92,150,129,132,142,119,99,162,195,193,192,185,198,200,203,206,208,209,210,214,229,228,188,136,97,66,66,79,86,84,102,128,117,105,154,194,196,194,193,191,199,201,203,206,208,210,209,215,232,225,183,135,98,68,69,84,90,93,101,109,111,171,200,198,196,195,193,192,199,200,202,205,207,209,208,214,231,219,174,131,97,70,73,92,96,97,91,100,169,201,201,199,196,194,193,191,199,202,203,206,208,209,208,217,226,209,167,132,97,69,76,97,101,95,91,159,200,200,201,199,196,194,193,192,200,202,204,206,208,208,205,222,226,203,167,135,95,68,73,96,102,90,122,201,202,201,201,200,197,195,195,193,200,201,203,206,209,204,210,231,224,198,167,135,96,73,75,97,97,86,165,204,202,202,201,200,197,195,195,193,200,202,205,207,207,199,226,234,218,192,169,133,92,75,83,96,85,118,199,204,202,202,201,199,197,196,195,192,200,202,206,209,200,203,234,229,207,187,167,127,88,76,84,86,91,178,206,205,202,201,201,200,199,197,196,185
1,91,96,82,67,67,57,69,22,55,82,97,108,142,117,99,130,132,138,141,144,147,150,152,154,155,157,159,160,94,100,80,70,67,62,67,24,59,85,102,112,144,125,88,131,106,129,143,145,149,151,153,156,157,159,160,161,96,102,77,72,64,68,62,27,63,86,131,122,123,139,99,141,107,104,144,147,150,151,155,157,158,159,160,162,98,103,76,75,64,73,55,32,67,88,143,128,110,144,106,143,125,92,144,148,151,153,156,158,159,161,162,163,101,101,76,77,63,78,47,37,72,91,147,134,110,160,128,132,134,92,138,151,152,155,157,159,161,163,165,165,104,100,79,81,64,83,39,43,77,94,145,139,112,169,136,127,154,107,125,152,155,157,159,161,163,166,166,167,107,98,82,85,65,86,32,49,103,112,143,154,117,164,138,129,166,122,109,154,157,159,161,164,166,168,168,169,111,97,85,86,68,87,28,54,136,118,136,155,117,155,140,121,164,132,101,155,158,160,163,166,168,169,169,170,113,95,88,85,72,85,26,60,143,118,132,155,116,153,149,117,164,137,98,155,160,162,165,168,169,171,172,172,114,93,89,83,78,83,26,64,148,120,126,161,118,147,156,116,168,143,101,153,161,165,167,169,171,172,173,173,115,93,93,81,84,75,29,67,154,136,122,166,127,126,155,112,159,144,99,147,164,166,168,171,172,174,174,174,112,94,95,79,91,67,33,69,151,137,109,167,131,103,146,108,144,147,101,139,165,166,169,172,174,175,175,175,111,95,97,76,97,57,38,72,141,140,103,156,135,128,141,138,154,131,97,122,166,168,170,173,175,177,176,176,110,96,99,75,100,48,44,75,138,151,105,144,151,134,126,147,148,104,84,104,168,170,172,174,175,177,177,179,108,99,100,73,102,40,49,78,138,148,123,148,150,146,143,171,159,111,77,86,163,170,173,175,176,177,180,180,106,101,101,74,103,33,53,80,142,153,154,139,139,141,150,162,158,132,91,73,154,171,174,176,177,178,179,181,105,102,101,78,102,28,56,81,155,166,148,128,127,132,137,139,156,154,118,77,138,172,174,176,177,179,180,181,103,106,99,84,99,25,59,83,162,163,138,119,125,135,148,163,168,171,146,99,115,172,175,177,178,180,180,181,103,108,97,90,94,25,61,84,151,161,132,115,131,137,157,180,173,175,156,116,99,172,175,177,178,180,180,181,105,109,93,96,86,25,65,85,133,165,140,121,126,144,161,184,182,166,147,112,96,172,175,178,179,180,181,182,106,109,88,102,79,27,67,87,113,164,146,128,124,147,163,186,182,163,138,102,101,173,175,177,180,181,182,182,107,112,85,108,71,30,68,87,102,155,156,137,124,141,161,183,179,158,133,97,103,174,175,177,179,181,182,182,110,115,83,115,63,34,69,86,99,139,160,145,133,132,156,179,170,150,130,95,104,173,176,178,180,181,182,182,114,119,83,121,55,38,70,86,98,118,155,152,144,134,149,169,162,143,123,91,110,173,176,179,180,181,181,182,117,122,84,124,47,41,69,84,96,108,136,154,150,143,140,151,155,136,119,88,125,172,174,176,178,178,180,180,120,121,86,124,39,43,68,82,93,105,117,152,152,145,131,133,143,124,112,88,147,170,173,174,175,177,178,179,122,118,90,123,32,44,67,79,90,103,110,145,150,139,126,125,126,118,110,87,156,168,170,173,175,177,178,178,123,115,93,119,29,46,64,73,84,97,105,134,145,131,126,130,126,117,104,84,157,165,168,170,173,174,176,175
1,86,97,76,54,55,44,62,0,39,76,94,106,158,116,94,140,140,148,149,153,158,162,164,167,168,170,173,174,89,101,73,59,54,52,60,0,49,79,101,111,160,133,77,140,102,136,155,155,160,163,165,170,171,173,175,175,92,103,69,64,50,61,52,0,57,76,145,123,124,159,89,156,99,97,161,156,162,164,168,171,172,173,175,177,96,103,66,69,50,69,41,2,62,78,160,134,109,163,95,158,134,81,157,160,163,166,170,172,173,176,177,178,101,101,65,72,49,76,29,9,69,82,162,143,108,184,126,139,150,79,146,166,164,168,171,173,176,178,181,180,106,100,68,76,50,82,18,19,71,82,161,151,110,194,137,132,178,96,128,172,167,170,173,176,178,182,183,183,110,96,73,80,53,87,11,23,110,111,151,178,115,182,140,138,194,117,106,174,170,173,175,180,183,185,184,185,115,95,78,78,57,88,5,32,157,119,141,182,113,168,147,126,186,133,95,172,172,173,178,182,184,186,186,187,118,92,82,76,64,84,0,44,160,113,136,181,109,165,166,117,182,145,93,170,175,177,181,185,186,188,189,190,118,89,86,73,72,80,0,51,167,118,129,191,108,158,181,113,188,157,95,164,177,180,184,186,188,190,191,191,119,89,93,70,82,68,0,55,174,144,124,196,121,129,183,105,172,162,89,156,184,182,184,188,190,192,192,192,114,89,98,68,92,56,5,58,168,148,104,194,128,93,172,95,150,175,89,145,188,181,186,190,192,193,194,193,113,90,99,64,100,43,12,61,153,157,96,172,141,131,156,147,166,144,84,123,191,182,188,191,193,196,195,195,112,91,99,64,106,30,19,63,150,178,96,148,170,142,122,163,164,99,68,104,192,186,190,192,194,196,197,199,108,95,99,62,109,19,28,66,151,165,124,161,161,159,149,194,181,109,61,79,184,188,191,194,195,196,200,201,106,99,98,64,110,9,35,68,153,170,170,148,146,154,163,181,173,141,83,55,170,193,191,195,196,198,199,201,106,102,95,70,110,1,42,70,170,193,159,132,130,137,145,141,168,173,123,56,147,199,191,195,196,198,199,202,102,109,93,79,105,0,46,73,181,185,143,120,130,142,161,179,185,194,163,85,113,200,191,196,197,199,200,201,101,113,89,88,97,0,52,73,166,184,134,114,140,142,170,209,191,194,177,113,91,196,192,196,197,200,200,200,104,115,83,96,84,0,59,73,142,190,147,124,130,152,175,208,203,182,162,108,88,195,193,197,199,200,201,203,104,117,78,105,74,0,62,77,115,187,156,131,127,159,178,210,205,179,149,91,97,199,192,196,200,201,202,203,105,120,75,113,62,0,63,83,97,171,174,144,124,151,176,205,201,172,143,86,100,200,192,196,199,201,202,203,109,123,73,124,50,4,65,82,91,150,183,155,138,137,169,200,189,162,141,82,100,200,193,198,200,201,202,203,115,126,73,134,39,9,67,81,93,120,174,164,156,138,159,191,178,152,132,77,108,201,193,199,201,201,202,202,120,126,75,139,27,13,64,78,93,104,145,172,162,152,146,166,171,144,126,73,128,199,190,195,197,198,199,200,126,122,78,141,16,18,61,75,90,104,118,166,166,156,136,140,155,128,115,77,158,194,190,193,194,195,198,199,129,116,83,140,5,22,60,72,86,105,107,156,167,147,129,129,129,123,112,78,172,187,187,192,194,196,198,198,133,112,89,133,2,28,55,64,77,96,99,144,161,134,132,138,131,122,103,72,173,183,183,188,191,193,195,193
6,120,122,124,125,127,130,131,132,135,137,137,138,139,139,140,142,142,142,141,141,142,142,143,144,144,144,143,143,122,123,124,125,127,130,132,134,136,136,137,138,140,139,141,143,142,142,143,143,142,143,143,143,143,144,144,143,122,123,124,126,128,131,132,133,135,135,137,138,140,140,140,141,142,140,142,143,141,142,142,142,143,144,144,143,123,123,125,128,130,131,132,135,136,137,138,140,141,143,143,142,143,144,144,143,143,142,144,143,144,147,145,143,124,125,127,130,131,132,134,137,137,138,140,141,142,141,138,130,117,121,130,125,123,120,105,130,137,132,145,144,125,126,128,131,132,133,136,137,138,138,140,142,142,141,138,124,100,104,116,118,112,108,96,106,123,98,144,145,125,126,127,131,133,134,136,137,137,139,146,150,147,143,130,110,99,88,86,90,85,85,85,83,85,113,150,146,126,128,129,131,133,135,138,141,141,145,143,135,126,111,92,77,75,85,88,93,106,113,119,125,134,149,147,147,127,129,131,133,133,137,146,136,127,123,122,118,116,110,100,83,93,121,134,153,153,155,155,153,151,149,149,148,130,131,131,134,132,157,154,121,105,105,109,115,121,123,119,115,108,102,88,141,153,150,151,150,150,150,150,149,130,131,132,135,134,168,144,118,118,111,107,101,102,106,106,101,95,93,67,127,158,151,153,152,152,152,151,151,130,131,135,137,136,168,139,132,140,121,109,110,107,113,116,109,95,86,77,141,157,153,154,154,153,153,153,153,131,131,134,136,141,168,155,164,151,122,104,105,106,108,109,106,103,99,84,114,163,154,155,154,155,155,154,153,131,132,136,135,147,169,165,163,149,135,126,109,93,83,91,95,91,87,81,64,128,161,155,156,155,156,156,155,132,133,137,134,154,168,163,158,158,156,142,118,103,99,108,104,90,80,79,53,85,165,156,157,156,157,157,156,133,134,138,134,161,171,166,165,166,154,142,127,110,103,107,103,96,87,90,61,108,165,156,157,156,158,158,157,133,135,137,136,166,170,165,166,164,154,143,122,110,108,105,104,99,94,82,99,158,158,158,157,157,159,159,158,133,135,136,139,170,166,165,164,162,150,129,118,112,110,99,95,98,95,78,142,163,157,158,158,157,159,159,158,135,136,137,143,173,165,164,163,157,130,121,122,113,96,87,55,76,84,89,159,158,159,159,160,160,161,160,158,135,137,136,148,169,162,162,160,146,119,115,121,110,80,53,41,62,73,127,164,157,159,160,161,161,160,160,158,136,138,134,153,164,158,159,151,130,112,120,117,97,84,56,62,94,126,161,160,161,161,161,161,161,160,161,159,137,139,136,159,161,153,154,142,125,113,126,115,95,81,61,82,165,164,160,161,162,161,162,161,161,161,162,160,137,140,137,159,157,155,148,135,121,126,132,111,94,80,61,106,170,159,162,162,163,163,162,162,161,162,162,161,137,139,135,155,157,148,136,132,120,130,125,103,89,76,69,145,166,162,162,163,164,163,162,163,163,163,162,161,137,140,136,149,150,144,134,123,120,131,114,97,86,68,111,168,161,164,163,164,164,164,164,164,164,162,161,161,138,140,132,155,155,142,135,116,123,125,108,96,76,91,163,164,163,165,165,164,164,164,164,164,163,162,163,162,138,135,134,159,150,139,130,118,123,117,99,89,69,135,171,164,166,166,166,164,164,165,165,164,163,163,164,162,140,133,137,152,143,127,119,120,116,108,92,81,73,151,166,165,166,166,167,166,166,167,165,165,164,163,163,163
20,156,159,163,166,169,170,173,174,175,177,179,180,180,179,179,182,179,180,179,180,179,179,177,175,173,173,173,171,158,163,166,168,171,174,175,177,178,179,180,182,179,196,183,166,183,183,181,181,182,180,180,179,178,175,174,174,161,165,168,170,174,176,178,180,180,181,182,185,178,219,188,122,183,161,184,182,182,182,183,181,180,178,175,175,164,168,171,172,176,179,180,182,183,184,186,189,181,223,187,130,204,123,176,189,184,185,185,183,183,181,179,177,166,171,174,174,178,181,182,184,186,187,189,191,184,223,189,142,224,128,159,197,189,189,188,187,186,183,181,180,168,173,175,177,181,183,185,187,189,190,190,192,186,231,208,144,227,150,150,199,190,192,191,189,187,186,184,183,170,174,177,179,183,186,188,189,191,192,194,196,189,236,198,152,237,166,148,202,194,195,194,191,190,189,187,185,172,175,178,181,185,188,190,192,192,192,192,195,196,237,184,166,236,163,142,204,197,197,196,194,192,191,190,188,173,178,181,184,188,190,191,193,196,194,212,209,194,241,189,168,241,154,141,207,198,198,197,196,194,193,192,190,176,180,183,186,189,192,194,196,192,199,255,252,189,150,167,169,236,154,150,210,199,201,200,198,197,196,194,193,179,183,185,189,190,193,197,195,216,229,209,215,193,121,95,139,205,144,157,213,202,203,201,201,198,198,196,195,179,184,188,190,194,196,195,207,251,253,193,160,198,172,158,122,148,131,157,214,205,205,203,202,201,200,198,197,181,184,188,192,195,199,196,219,221,170,225,186,163,218,211,144,105,107,158,215,205,206,204,203,203,202,200,199,183,187,190,195,196,199,196,221,221,117,117,120,89,183,213,160,108,93,155,216,206,209,206,206,206,205,203,202,185,188,191,196,198,202,199,225,203,164,141,100,96,112,226,202,137,86,155,220,209,211,209,207,208,207,204,203,186,190,195,197,199,204,199,231,239,196,146,117,126,109,213,237,169,89,142,223,211,213,211,209,209,208,206,204,187,192,195,199,202,206,201,236,237,171,131,122,140,145,217,253,196,113,132,223,212,215,212,211,211,210,209,206,189,194,196,201,204,207,202,237,236,178,147,143,154,174,247,250,205,132,131,224,213,215,214,212,213,212,210,209,190,196,199,202,205,209,206,238,247,196,163,159,171,218,255,241,192,138,125,224,214,215,216,215,214,213,211,211,192,197,200,203,206,212,208,237,252,212,171,172,190,243,255,238,184,137,127,223,217,218,217,217,217,215,212,211,193,196,199,203,207,211,207,232,255,223,185,175,205,254,248,226,182,133,120,224,221,219,218,218,218,218,214,212,194,196,199,203,206,211,206,228,255,225,199,191,207,255,240,207,177,126,113,221,220,219,217,216,217,216,214,212,194,197,202,206,208,211,210,220,252,233,214,215,204,246,229,198,172,120,109,222,222,221,219,217,217,215,212,215,193,198,204,206,210,211,214,215,244,241,222,225,199,218,208,180,162,110,113,229,222,223,221,220,217,216,223,205,196,199,204,206,210,213,215,212,236,252,229,212,184,185,187,162,165,97,134,237,222,226,223,219,226,222,192,120,196,201,204,206,210,212,223,228,239,253,222,188,152,156,176,160,155,81,172,237,225,226,224,231,199,133,92,77,198,203,207,212,214,221,186,99,173,253,192,164,137,152,184,150,127,88,228,231,228,229,233,186,106,89,82,73,161,166,172,176,180,190,113,0,106,245,203,168,136,166,190,124,103,45,134,223,216,224,181,97,86,80,70,69
18,131,132,134,136,138,142,146,149,151,153,157,157,158,161,162,164,165,165,166,167,167,167,168,169,168,168,168,167,131,133,135,137,139,143,146,149,153,155,157,158,159,161,162,164,166,166,167,169,169,170,170,169,169,169,168,168,132,134,136,136,139,144,149,151,155,156,158,160,161,163,164,166,167,167,168,169,170,170,169,172,171,170,169,169,131,135,136,137,140,144,149,153,155,157,159,161,162,164,165,167,168,167,168,170,170,171,170,133,171,170,170,170,133,135,137,139,142,144,149,153,156,157,160,161,163,166,167,168,168,168,170,171,168,186,173,97,120,184,175,170,135,137,138,139,143,147,151,154,157,159,162,163,164,167,168,168,168,169,171,178,160,179,177,121,90,129,160,176,135,137,139,140,144,149,152,155,158,160,162,164,165,168,171,168,174,152,128,151,157,153,190,159,127,92,88,128,136,138,139,141,145,149,152,156,158,159,162,164,166,167,153,172,185,145,131,87,137,154,189,171,135,126,123,89,136,138,140,141,145,149,153,156,160,162,163,160,173,175,134,108,169,157,142,95,115,153,162,167,152,137,124,106,137,139,141,142,146,149,154,157,161,164,163,166,188,177,158,97,141,175,136,104,82,145,119,116,151,148,124,112,137,139,142,144,148,151,155,159,162,164,162,191,202,181,162,117,112,175,138,110,67,112,105,70,176,170,138,118,138,142,142,144,149,152,155,160,163,165,168,191,200,189,162,127,90,163,132,100,58,67,84,70,166,182,147,116,139,142,142,145,149,153,157,160,164,160,179,204,189,172,164,123,78,124,109,86,62,46,56,46,158,178,155,117,139,141,143,146,150,154,157,161,164,164,198,197,181,148,129,98,73,99,92,84,46,41,103,94,173,184,146,116,140,143,143,146,151,154,158,163,160,180,206,172,164,144,85,78,73,95,104,74,72,158,180,146,144,165,129,110,142,143,144,147,152,157,159,164,162,177,218,195,156,121,95,97,70,121,132,119,182,186,170,152,109,142,117,107,142,144,145,148,152,157,161,164,165,175,216,200,170,122,115,113,71,128,157,189,192,169,148,153,114,117,122,103,142,144,146,149,153,158,162,166,163,183,217,201,179,153,136,137,112,124,202,196,174,155,139,146,140,103,118,92,143,145,146,149,153,158,162,167,164,190,216,196,162,153,131,119,139,202,199,179,163,154,149,146,144,108,99,83,144,145,146,150,155,158,162,167,164,194,215,188,164,153,132,129,175,208,192,171,165,163,140,142,136,104,82,66,145,147,147,151,156,160,163,166,164,197,209,188,165,168,136,166,180,193,183,163,165,150,125,141,125,94,75,47,145,148,148,152,156,160,163,168,166,197,206,191,182,171,142,155,175,171,172,154,153,135,129,138,106,84,54,96,145,147,149,151,156,161,164,168,167,194,202,188,188,162,138,132,160,157,158,151,144,130,128,109,86,66,64,178,145,147,149,152,157,162,166,169,168,193,203,193,185,151,117,139,148,155,158,148,140,123,107,80,73,47,144,196,145,147,149,154,157,162,165,170,170,188,198,193,164,127,119,147,146,158,159,148,128,115,92,80,53,95,198,186,147,147,148,153,157,162,164,169,170,191,187,177,163,155,152,149,145,163,154,136,112,102,88,65,56,177,193,187,147,147,149,153,158,165,171,168,174,204,199,193,190,179,164,147,138,158,146,125,103,90,76,54,154,197,187,190,147,148,151,155,163,146,134,164,181,207,198,199,188,174,153,147,136,149,138,117,99,85,56,122,204,188,191,191
21,25,54,71,78,87,99,113,122,130,135,139,142,145,148,150,151,156,158,160,161,163,165,166,166,167,168,168,168,29,57,72,79,88,100,114,124,131,136,139,143,146,153,149,134,151,160,162,163,165,166,167,168,169,169,169,169,34,60,73,81,89,103,116,125,132,137,141,145,148,163,149,112,142,162,164,165,166,168,170,170,171,171,171,171,40,63,75,82,91,104,118,126,133,138,143,146,150,167,151,110,138,163,166,167,168,169,171,172,172,172,173,173,46,66,76,83,93,107,119,128,134,139,144,147,151,168,151,112,135,164,167,169,170,172,174,172,168,171,175,176,51,68,76,85,95,109,121,130,136,141,146,149,152,168,155,117,133,165,168,170,172,174,175,166,141,149,175,178,57,70,78,86,97,111,122,131,138,143,147,150,153,168,158,120,128,165,171,172,174,176,174,152,119,139,176,179,62,72,79,87,98,112,124,132,139,145,149,151,154,168,160,122,121,163,172,174,176,178,168,137,119,158,179,180,65,73,81,88,99,114,125,133,140,146,149,151,156,174,167,125,119,163,173,175,177,176,156,125,137,175,182,182,68,75,82,90,102,117,127,134,141,146,150,153,158,176,170,131,122,164,174,176,176,165,138,124,162,182,183,183,71,76,82,91,103,118,128,136,142,147,151,156,155,165,157,124,119,162,174,178,176,154,122,139,178,184,184,184,72,77,84,92,105,119,129,136,142,148,156,170,151,138,130,108,114,160,174,177,171,140,123,163,184,185,185,185,73,77,85,93,106,120,129,137,144,149,163,173,142,112,98,91,110,151,166,168,153,122,141,179,186,186,187,186,74,78,85,94,108,122,131,138,145,157,173,159,131,104,81,82,106,138,152,147,125,120,167,185,187,187,187,187,74,79,86,94,109,123,132,139,148,174,185,170,145,118,84,76,95,120,132,121,107,143,183,187,188,188,188,188,75,79,87,96,111,123,132,139,152,178,184,189,171,133,92,75,88,103,113,105,116,171,188,188,189,189,189,189,75,80,88,97,112,123,132,140,160,170,169,178,168,125,91,78,82,92,97,97,140,184,189,189,190,190,190,190,76,81,89,99,114,125,134,143,169,167,144,133,142,121,95,80,78,82,85,96,158,188,190,190,191,191,191,191,77,82,89,99,114,125,135,147,171,153,126,116,133,130,103,84,78,77,79,97,164,189,191,192,192,192,192,192,78,83,89,100,115,126,135,153,177,159,142,131,142,148,116,95,83,77,76,99,167,190,191,192,193,193,193,193,78,84,90,101,116,127,136,158,183,168,150,142,175,172,131,109,89,76,76,104,172,191,192,192,193,193,193,194,78,84,92,102,117,127,136,162,189,172,150,160,193,172,133,113,92,76,77,114,179,192,192,193,193,193,194,194,79,85,92,103,117,127,136,162,186,164,150,168,185,157,125,109,94,79,79,130,185,192,193,193,194,194,195,195,80,85,91,103,118,128,137,158,176,161,155,166,177,152,128,105,91,79,85,147,188,192,193,194,195,195,196,196,80,84,91,104,118,128,137,152,168,169,162,166,175,149,131,106,85,77,92,160,190,192,194,194,195,196,196,196,79,84,92,105,118,128,137,148,170,178,160,163,168,138,119,99,81,75,101,170,191,193,195,195,195,196,196,196,78,83,90,104,117,127,136,145,166,174,154,151,153,125,105,89,77,73,112,176,189,192,194,195,195,196,196,196,78,82,89,103,116,126,135,144,159,164,151,146,143,120,102,89,77,73,120,179,188,191,193,193,194,195,195,196
4,176,176,176,177,179,180,179,177,180,179,179,182,181,181,181,181,181,182,181,180,183,181,177,177,178,177,176,175,178,180,179,180,180,181,181,181,181,182,182,183,181,182,181,181,183,183,181,182,181,181,181,181,180,181,178,177,181,182,182,181,182,183,182,182,183,182,181,181,181,183,187,184,184,186,189,185,183,182,183,182,181,182,181,178,182,183,183,183,184,183,183,183,184,185,185,186,185,166,155,179,182,159,153,185,189,187,183,182,183,183,183,179,182,184,185,184,184,185,185,184,184,184,172,181,224,191,138,127,197,162,110,111,181,168,187,188,185,185,184,183,184,184,184,187,185,185,189,188,185,202,195,160,164,230,172,109,204,193,129,64,147,114,101,186,189,185,184,184,185,184,184,186,188,189,189,186,193,218,216,178,108,203,190,94,196,203,131,113,190,142,56,104,199,183,187,186,186,188,189,189,189,191,192,186,205,191,207,180,105,169,192,71,167,207,112,117,197,140,70,73,199,188,189,188,187,190,190,190,191,191,190,192,219,158,191,187,86,142,200,98,120,179,89,129,207,169,71,92,204,188,192,188,187,189,190,191,193,192,187,206,199,117,136,196,102,112,201,168,151,152,158,192,214,173,88,114,207,190,193,190,189,190,190,191,194,192,192,212,198,159,125,161,102,77,120,166,168,169,188,191,186,151,123,80,192,194,194,192,189,190,190,191,194,192,207,209,186,164,127,97,59,61,84,80,129,140,150,166,151,130,154,63,144,207,192,193,189,191,191,192,193,193,210,193,155,122,113,91,59,70,98,52,94,102,105,122,106,153,162,88,88,209,192,194,190,192,193,193,195,193,214,198,156,109,82,75,67,85,94,91,136,133,101,55,137,205,172,128,58,173,203,193,190,192,193,193,195,194,224,217,176,126,84,59,67,97,83,133,165,155,119,139,160,199,193,165,75,107,213,193,189,191,192,193,194,198,223,221,186,130,82,65,68,99,116,171,153,165,179,202,199,182,201,156,87,70,206,197,189,190,192,192,191,199,225,223,199,132,83,85,73,81,127,154,165,194,202,192,196,175,159,131,94,57,186,201,189,190,192,193,190,200,226,219,206,134,94,114,93,101,141,159,190,199,195,187,178,163,125,102,79,75,195,199,190,191,191,193,192,204,220,217,191,142,136,121,102,158,185,200,208,202,190,174,158,138,106,75,56,161,204,197,190,191,191,193,192,204,221,216,197,168,154,127,102,181,208,206,214,199,179,160,143,118,89,48,124,207,198,200,191,192,192,193,192,195,224,214,211,186,154,153,113,166,211,208,208,186,157,144,130,103,65,80,199,200,201,200,191,192,192,192,194,184,215,217,221,197,168,156,132,163,210,202,192,171,144,128,108,84,52,166,209,200,201,199,196,196,197,196,200,185,202,215,204,184,172,153,140,159,196,188,174,156,128,113,93,54,100,210,200,201,201,200,164,169,176,176,182,172,197,219,192,171,171,160,144,157,173,171,153,132,113,103,78,57,189,214,209,209,209,208,75,77,77,78,86,71,178,218,187,179,182,169,148,155,167,164,147,115,97,92,58,91,168,164,173,175,169,167,71,70,68,69,73,51,168,221,190,189,183,170,149,157,173,171,145,96,83,71,60,67,69,69,59,62,102,120,73,72,74,75,79,56,170,228,192,189,187,181,152,150,172,166,121,79,70,56,68,72,66,70,118,154,199,220,71,72,74,74,80,55,164,232,194,189,198,200,156,134,168,149,97,72,60,63,88,90,121,171,230,209,154,184
1,129,131,134,135,137,138,139,138,139,139,139,139,138,138,139,136,134,138,133,132,131,130,128,127,125,124,122,122,131,133,136,137,140,141,140,141,141,140,142,141,140,141,139,141,130,102,136,136,131,131,130,129,127,125,124,123,133,136,139,141,141,143,144,143,144,142,143,143,143,143,140,154,136,46,113,131,135,133,132,131,130,129,127,125,135,138,139,143,144,146,147,147,147,146,146,146,143,149,127,130,132,61,115,74,123,139,135,133,131,131,129,128,139,141,143,145,146,148,150,149,149,149,149,150,146,162,108,89,118,63,131,67,106,146,137,136,135,133,131,131,140,143,146,148,148,150,151,150,151,151,152,152,152,165,94,93,121,66,125,65,92,151,139,139,138,135,134,133,142,144,146,150,151,151,153,154,154,154,154,151,143,162,77,89,119,66,122,69,84,153,142,143,140,139,138,135,145,147,150,152,153,155,156,157,157,157,158,156,101,149,74,83,116,64,121,80,82,154,145,145,143,142,140,138,146,150,153,155,156,156,157,157,158,157,168,139,77,137,65,100,118,64,113,79,82,155,146,147,145,144,142,141,149,151,154,156,157,159,159,159,160,159,174,117,67,121,62,136,123,68,132,98,78,159,149,150,148,146,145,143,150,152,157,158,158,159,162,164,163,162,175,103,78,137,69,130,103,65,152,105,84,161,152,152,149,148,146,145,151,155,159,162,162,164,164,165,164,170,175,76,85,129,48,101,69,58,148,91,88,163,153,154,151,149,148,147,154,157,159,163,165,167,165,166,164,179,170,85,122,96,61,102,85,106,143,85,90,164,155,156,154,151,150,148,156,158,161,165,166,168,167,168,164,187,153,78,143,131,121,110,100,131,124,81,92,166,155,157,157,155,153,150,157,159,163,166,168,169,170,170,168,189,152,125,103,138,157,155,114,83,91,73,91,169,160,159,158,155,154,151,159,161,165,166,167,170,171,170,176,185,156,127,74,102,113,146,150,122,81,48,87,172,162,162,160,157,156,154,159,163,166,166,168,171,172,169,184,183,130,98,87,92,97,137,159,148,128,69,81,176,162,164,161,159,158,156,160,165,167,168,170,172,174,169,192,186,120,103,111,101,129,154,155,166,137,109,68,153,170,164,163,160,157,157,162,166,168,170,172,174,175,171,195,187,128,111,113,114,156,183,166,154,129,108,59,138,173,164,165,162,160,158,163,166,169,171,173,174,175,172,191,192,147,123,108,126,180,193,166,136,105,86,59,138,174,164,164,164,161,158,163,167,170,173,174,176,175,173,188,202,168,130,116,122,193,202,158,117,89,65,58,137,176,166,165,165,161,159,164,167,170,173,176,178,178,176,183,198,167,134,122,111,191,185,145,106,82,61,66,159,174,169,168,165,164,162,166,168,171,174,175,176,179,178,181,190,163,146,124,119,179,162,130,97,76,59,87,175,170,171,169,166,166,163,166,167,171,174,176,178,179,179,179,183,174,168,135,148,170,142,114,87,71,60,131,179,171,171,169,166,165,164,166,169,172,174,177,178,178,179,179,178,178,169,132,128,144,125,97,78,65,76,167,175,174,171,170,168,166,164,167,170,173,175,177,178,180,181,182,180,170,150,123,109,117,112,92,77,61,99,182,174,174,173,171,168,166,166,167,170,172,176,178,179,180,180,181,181,163,134,120,122,118,114,109,77,59,131,183,175,173,172,170,168,167,167,165,168,171,174,176,177,178,178,178,178,174,150,149,142,121,107,107,69,55,157,179,173,173,172,169,167,166,165
10,55,57,61,65,73,89,99,107,111,114,120,125,130,132,142,133,135,144,143,144,144,144,144,142,143,142,141,138,56,58,62,65,75,91,101,109,112,117,122,127,131,135,172,116,106,149,143,144,146,146,144,143,143,143,141,139,56,59,62,66,77,93,102,110,113,117,124,130,132,142,171,123,88,146,147,146,148,147,146,146,145,144,142,141,57,60,63,67,78,93,105,112,115,119,126,132,135,143,171,142,83,139,152,149,150,149,148,146,146,146,145,143,58,61,65,68,80,95,107,114,116,122,128,134,140,141,172,163,93,130,156,151,151,150,150,150,149,147,146,145,59,62,67,69,82,98,108,115,118,123,130,136,141,142,181,173,102,119,161,151,152,153,152,152,151,150,148,146,60,63,67,70,84,99,110,117,120,126,133,139,144,142,180,170,111,109,162,154,155,156,155,154,153,152,150,149,60,64,68,69,85,101,113,118,121,129,135,140,146,144,183,179,111,93,163,157,158,158,157,155,154,154,152,151,60,63,67,70,86,103,114,120,123,129,136,143,147,145,187,186,123,79,158,159,159,159,158,157,157,156,154,153,61,63,68,72,89,103,115,124,127,137,166,113,131,152,179,167,124,69,146,165,160,161,161,159,158,158,156,156,61,65,69,74,86,121,152,113,83,123,152,71,92,162,170,149,112,60,129,170,162,163,162,161,160,160,158,158,62,66,69,76,86,136,149,78,55,68,105,72,38,126,162,128,120,64,122,174,163,165,164,162,162,162,160,159,62,66,68,76,92,113,114,80,68,59,94,79,42,43,93,98,127,84,101,176,164,165,165,165,163,162,162,161,63,66,69,76,94,109,121,123,117,106,108,86,69,42,44,62,95,90,72,166,168,167,167,166,165,165,164,162,64,67,69,76,94,110,124,130,141,146,97,102,86,78,54,46,68,75,54,148,175,170,169,167,167,167,165,164,64,67,70,77,95,111,125,128,156,141,70,86,126,109,91,63,53,62,46,139,180,171,171,170,169,168,166,165,62,66,70,79,97,112,128,133,148,154,121,60,93,136,115,97,69,50,40,118,183,172,172,172,170,169,167,165,63,67,68,77,99,110,145,149,115,164,132,75,77,178,130,115,93,50,33,75,181,173,174,174,172,171,170,168,65,68,69,78,99,110,158,177,112,118,123,80,129,200,147,122,103,59,35,61,179,177,176,175,175,173,173,171,64,67,69,79,99,113,146,177,133,80,129,114,133,200,144,116,104,71,39,60,181,179,178,178,175,174,173,172,64,67,69,80,101,117,129,152,143,89,131,158,136,184,154,119,98,75,45,58,180,179,179,179,177,175,174,173,64,66,69,81,102,118,129,142,144,91,130,203,116,155,158,133,95,70,51,56,179,181,180,180,179,177,176,174,63,65,68,81,101,118,131,134,156,125,149,133,68,124,158,123,91,66,50,64,183,182,181,180,179,179,176,174,64,68,68,81,102,119,133,135,149,180,153,83,91,144,143,113,84,62,48,79,190,181,183,182,180,180,177,176,62,66,67,82,102,119,131,135,138,168,178,155,132,150,124,100,77,65,47,97,193,180,182,182,180,180,178,177,61,63,66,81,101,118,131,133,140,157,173,158,119,122,111,88,79,74,50,108,193,180,182,182,180,179,178,177,59,61,64,81,102,118,132,135,145,59,139,164,107,125,129,125,109,89,48,124,193,182,184,181,181,180,179,177,59,60,63,78,100,117,129,143,91,0,127,180,154,147,132,144,123,88,40,128,196,182,185,182,181,180,180,177
3,172,172,173,172,173,173,172,174,172,172,172,170,170,170,169,169,168,167,165,163,162,161,160,159,158,157,156,154,172,173,174,174,174,174,173,175,173,172,173,171,170,170,170,169,163,166,166,164,163,161,160,160,158,157,156,154,174,174,175,175,175,174,175,175,175,174,173,172,171,171,168,182,132,149,170,164,165,163,161,160,159,158,157,156,176,175,176,176,175,176,175,175,176,175,175,174,173,170,175,178,114,151,172,165,164,164,163,162,160,159,158,157,177,177,178,179,177,177,177,177,177,176,176,175,175,170,190,154,112,168,171,167,165,164,164,163,162,160,158,158,179,179,180,180,179,179,179,178,178,178,176,177,174,181,190,125,134,176,169,170,169,168,166,165,163,162,160,159,180,181,181,182,181,181,181,181,181,179,179,179,174,198,176,114,154,179,172,172,171,170,168,166,165,164,162,161,181,182,183,184,182,183,183,182,182,180,181,177,190,193,148,114,171,179,176,175,172,170,169,168,166,165,163,163,183,185,186,185,186,185,184,184,184,183,183,181,196,176,118,138,176,167,173,175,176,172,170,169,168,168,166,164,185,187,187,188,188,187,188,186,186,185,184,183,190,180,150,158,173,167,173,167,162,173,174,170,171,170,168,167,187,187,189,189,188,188,189,188,188,187,186,185,193,198,183,160,160,161,163,175,160,132,170,176,166,167,171,168,188,189,190,190,189,190,189,189,189,188,188,186,208,189,169,171,164,146,142,131,152,139,127,151,155,134,165,172,191,191,190,190,191,192,191,191,190,191,187,195,211,190,174,162,149,137,117,119,101,145,145,124,133,128,169,172,192,192,192,192,192,193,193,192,192,191,193,214,202,165,128,118,144,136,124,118,107,105,133,117,108,164,176,172,194,194,194,194,194,194,194,194,193,191,210,215,170,131,103,89,157,178,137,120,112,109,95,105,135,181,174,174,195,195,196,195,195,195,195,195,192,202,222,195,140,112,99,91,115,194,188,170,133,106,111,110,151,182,175,174,195,196,197,196,197,197,196,197,187,213,218,177,136,116,96,90,85,125,185,205,148,102,121,115,168,182,176,175,197,198,198,198,198,198,198,199,187,206,205,179,137,104,93,88,91,86,109,148,108,119,125,125,180,181,178,177,198,198,199,199,198,198,199,200,190,200,212,187,144,113,94,92,96,104,105,102,103,128,125,133,185,181,179,177,199,200,200,200,200,200,200,201,190,198,218,188,156,125,101,97,105,112,120,130,124,126,124,142,188,181,180,179,200,201,201,202,201,201,201,202,190,195,223,195,161,131,114,98,108,121,135,142,134,123,115,154,190,182,182,181,201,202,202,202,202,202,201,204,191,191,225,197,164,142,127,102,109,132,144,144,136,120,128,181,187,183,183,182,201,201,202,203,204,204,204,205,193,186,219,194,170,145,130,108,111,134,139,135,129,122,174,193,187,186,183,182,202,203,204,204,204,203,203,205,195,185,217,198,174,147,127,113,113,128,133,130,120,139,192,189,188,186,185,183,203,204,204,205,206,205,205,206,199,184,211,197,173,146,128,121,116,126,130,127,121,172,194,189,189,188,186,184,204,204,205,205,205,206,206,207,201,192,210,191,169,146,134,127,117,123,127,123,160,196,192,191,189,188,186,185,204,205,205,205,205,205,205,207,201,191,214,191,171,152,139,128,122,123,126,156,197,194,193,191,190,189,186,185,205,206,205,205,206,206,207,208,199,190,208,184,169,152,133,126,127,123,142,195,197,195,194,193,192,191,187,186
3,193,195,198,200,201,203,205,204,204,204,204,203,203,203,204,201,200,198,196,196,193,190,188,184,182,181,178,175,194,197,199,202,203,203,206,205,205,206,205,204,203,203,202,205,203,200,198,196,193,192,190,186,183,180,180,177,195,198,199,202,203,204,205,206,206,205,206,205,203,209,178,154,206,199,199,197,195,192,190,188,185,182,181,179,196,198,200,203,203,205,207,207,207,207,206,207,205,212,177,108,196,203,199,198,197,194,190,187,185,183,181,179,197,199,202,205,206,207,207,207,207,208,208,206,206,212,176,101,181,208,200,198,196,195,192,188,186,185,183,182,198,200,204,205,207,209,210,210,210,211,211,209,207,211,170,92,177,211,201,200,198,196,194,191,189,187,184,182,200,203,206,208,210,212,213,213,214,214,214,213,210,216,190,104,167,213,202,202,200,198,196,194,191,188,186,185,203,205,208,211,212,214,215,215,215,215,215,215,212,209,176,101,154,218,204,204,203,200,197,195,194,191,189,187,204,208,210,213,214,215,218,217,217,218,217,214,219,196,149,99,142,217,207,205,204,202,200,197,195,193,191,189,205,209,213,215,217,218,220,220,220,221,220,217,225,233,201,134,170,161,196,211,205,204,202,200,197,195,193,190,207,210,214,217,219,221,221,223,223,222,224,217,168,165,203,153,192,123,145,223,205,205,203,202,198,197,194,192,208,213,216,219,220,220,223,224,225,223,217,221,172,120,147,158,167,150,88,161,216,206,206,204,201,198,195,193,209,214,217,219,221,221,223,224,226,225,163,150,205,160,115,161,166,163,118,93,184,215,206,205,202,199,197,194,212,215,219,221,222,223,225,226,229,221,181,137,165,189,122,145,151,148,143,91,165,221,208,206,203,202,199,196,212,217,220,222,222,225,227,228,229,182,196,172,132,177,136,82,75,157,153,86,183,221,210,207,205,203,200,197,213,218,221,223,224,226,226,233,211,147,144,172,104,134,127,70,63,155,160,93,196,220,211,208,206,204,201,198,214,217,221,223,225,228,227,234,210,157,102,145,80,106,145,101,100,167,158,94,200,220,213,210,208,206,203,200,215,217,222,224,227,228,230,228,189,147,106,117,104,93,149,103,151,172,140,92,209,221,214,211,210,207,204,201,215,219,223,226,229,229,231,227,205,173,122,100,104,118,174,165,176,154,98,117,229,217,216,214,211,208,204,201,216,220,223,227,228,230,233,229,213,186,139,124,112,179,224,203,163,138,79,172,231,216,218,216,212,210,205,202,218,221,223,228,229,231,233,229,210,190,153,130,124,201,205,181,158,127,92,216,224,219,218,216,213,211,206,204,217,221,224,228,229,231,234,230,199,181,159,141,137,199,196,174,153,102,124,237,222,221,219,217,214,212,207,204,215,221,224,228,230,232,235,236,204,185,171,159,143,188,190,163,131,81,186,236,223,222,222,219,216,212,209,206,216,220,226,229,230,233,235,239,221,190,184,164,139,162,165,138,91,110,238,228,226,223,222,220,216,214,210,208,217,221,226,229,231,232,235,238,232,205,185,165,145,142,145,122,72,188,239,227,228,224,222,220,217,214,211,208,217,222,226,230,232,234,234,237,234,215,181,169,163,148,140,98,105,238,230,229,228,225,222,220,218,215,213,209,217,220,225,229,231,235,236,238,223,213,193,188,171,150,129,80,145,245,228,231,230,229,224,220,218,216,214,211,216,221,225,228,232,235,237,236,212,218,205,188,166,139,113,72,177,244,228,229,228,226,223,220,217,215,213,209
6,193,195,196,197,197,197,196,196,196,196,196,193,192,191,190,189,189,186,185,183,183,183,182,180,177,177,116,137,195,197,197,197,199,198,197,198,198,197,197,195,195,194,193,191,190,188,187,186,185,185,184,183,180,177,171,119,198,199,201,201,201,201,199,199,200,199,197,197,196,197,195,195,192,189,190,189,189,187,185,184,183,179,178,159,199,202,203,203,203,203,203,202,202,202,201,198,197,198,196,194,194,192,192,193,193,188,186,185,183,181,177,168,201,203,204,205,206,205,204,204,203,203,201,201,199,199,198,198,197,196,193,193,192,190,188,187,185,183,179,174,203,204,205,206,208,206,206,207,205,205,205,203,202,200,200,201,199,197,194,195,194,193,190,188,187,185,184,178,204,205,206,208,209,209,209,210,207,206,206,206,205,204,204,201,199,193,194,193,193,190,185,185,178,181,181,182,205,206,208,210,211,212,210,210,213,211,206,203,199,191,188,185,183,157,158,175,176,159,170,166,175,225,161,172,206,208,212,213,211,211,210,208,200,186,188,190,183,185,188,189,177,172,158,183,188,168,172,175,164,201,138,166,208,211,213,213,213,211,212,218,190,165,175,190,193,199,202,200,181,155,156,149,150,136,123,126,114,119,150,187,209,211,212,214,214,210,224,233,199,179,168,167,172,166,160,151,140,128,98,92,82,90,139,146,167,184,192,187,210,212,213,214,216,212,234,235,214,197,178,160,154,143,135,123,107,83,52,35,32,161,213,201,200,195,189,187,211,213,214,216,216,221,243,238,229,192,151,143,148,158,156,148,136,126,123,77,122,213,196,196,195,194,191,190,213,215,215,219,214,232,249,243,225,158,122,133,138,152,158,157,145,131,132,95,138,215,199,200,197,196,193,191,215,217,218,219,213,244,245,241,192,129,140,136,126,128,150,139,127,126,118,66,146,215,201,202,198,196,195,194,214,217,219,215,221,249,241,239,203,179,161,141,114,114,154,144,135,140,119,81,198,208,204,202,201,198,196,195,216,219,221,214,238,243,241,244,241,225,177,138,145,157,157,148,132,118,115,94,164,216,203,204,201,198,196,193,218,220,215,221,245,243,245,240,238,234,170,125,133,139,139,136,118,106,106,69,156,216,204,206,203,199,196,194,218,220,211,230,243,247,242,233,232,209,160,130,124,113,118,126,123,115,90,87,199,211,205,205,203,199,199,202,218,208,211,238,242,245,234,225,218,211,190,168,130,83,93,122,117,116,81,128,219,204,206,204,198,199,197,170,218,193,227,240,243,237,231,231,224,215,222,207,147,106,124,148,134,109,98,82,195,212,203,202,204,212,123,30,204,203,237,240,239,235,238,234,218,223,228,191,127,102,114,115,104,90,77,72,194,211,210,215,181,104,28,15,198,224,232,237,233,228,221,216,212,223,208,161,115,108,106,93,81,75,69,155,224,212,179,108,46,16,16,11,216,226,233,228,219,211,202,204,203,186,162,129,109,96,71,114,135,159,190,199,148,89,33,13,14,13,14,14,225,224,228,220,202,197,194,190,188,163,132,118,118,108,124,190,165,135,99,53,18,0,0,10,11,5,8,5,222,224,214,200,187,174,187,186,172,157,144,126,100,65,67,38,15,5,2,14,0,0,0,2,4,1,3,0,221,218,209,197,180,166,169,162,145,136,115,83,45,18,0,3,3,5,10,11,0,0,0,0,2,0,0,2,224,212,204,184,158,150,143,124,104,90,65,34,7,17,5,0,0,0,4,5,0,0,0,0,0,0,0,0
4,205,204,204,203,203,202,201,201,201,201,200,200,200,198,197,196,195,195,194,192,191,191,189,188,187,187,187,185,206,206,205,204,203,204,203,203,202,201,201,200,200,199,197,197,196,195,195,194,193,191,190,189,188,187,187,186,206,206,205,205,206,205,204,204,204,204,203,201,201,200,199,198,196,195,194,195,195,193,192,191,190,188,187,187,208,207,206,206,207,206,206,206,205,204,203,203,203,204,202,199,199,200,196,194,194,194,193,192,190,189,188,188,209,209,209,208,207,207,207,206,204,205,205,197,189,192,191,196,181,178,198,198,196,196,192,192,191,190,189,189,209,210,209,208,208,208,207,206,206,206,205,196,190,186,170,151,156,151,156,192,189,191,197,192,192,191,190,188,210,210,209,209,209,210,209,208,207,197,197,185,158,136,174,138,111,158,147,131,134,130,168,198,191,191,190,188,211,210,210,210,210,210,209,208,204,203,196,187,163,112,145,145,102,141,146,110,114,125,119,196,193,192,191,190,211,211,211,211,211,210,210,210,208,177,148,167,185,131,137,158,151,143,131,105,135,145,111,172,200,192,192,191,211,211,212,212,211,211,211,209,210,184,130,100,190,165,140,160,179,165,136,137,136,152,126,163,202,192,192,191,212,213,212,211,212,212,211,212,203,164,126,84,126,149,115,130,141,162,146,145,138,145,126,142,203,192,193,192,213,214,213,213,213,213,212,213,197,168,150,132,106,112,113,106,98,135,157,144,136,136,135,120,195,195,193,192,214,214,214,213,212,214,213,211,201,188,164,135,110,112,124,117,120,116,125,132,135,156,154,112,174,200,192,192,214,215,214,213,214,214,213,211,205,180,149,127,109,112,119,127,142,130,112,124,181,174,159,121,149,203,192,192,215,216,215,215,216,215,212,213,204,175,148,120,108,113,123,137,140,133,139,152,162,176,172,140,129,201,193,193,216,216,216,216,216,216,213,212,207,187,160,128,112,119,130,143,142,147,172,186,172,174,177,147,114,193,196,193,217,217,217,217,218,217,215,211,203,188,166,135,114,118,133,151,158,165,179,183,180,169,154,138,105,187,198,194,217,217,217,217,218,217,216,210,203,196,175,148,122,117,134,153,169,181,189,186,171,161,143,117,112,197,196,194,217,217,217,217,217,217,216,210,199,199,182,158,135,118,125,164,180,192,192,183,165,151,134,97,150,205,195,195,218,218,218,217,217,218,217,208,196,196,185,163,141,125,127,176,188,192,188,175,156,143,120,105,195,198,197,196,218,218,218,217,217,217,218,206,192,192,190,170,145,136,135,180,188,187,181,166,148,135,100,150,207,197,198,196,219,218,218,218,218,217,219,205,191,193,191,174,154,143,144,180,186,183,171,152,140,121,105,196,201,199,197,196,219,218,217,219,219,218,219,210,196,199,194,177,160,142,142,179,180,175,160,139,130,97,152,210,199,200,198,197,219,218,217,219,219,220,220,213,199,203,192,178,165,145,138,171,171,162,146,132,108,110,203,203,201,200,199,198,219,219,219,221,220,219,220,213,206,202,190,181,168,152,140,156,160,148,135,119,92,180,209,201,200,200,199,198,219,220,220,221,220,219,221,214,207,199,189,178,167,159,147,145,150,138,125,91,146,214,202,203,202,200,200,199,220,220,221,221,221,220,218,209,206,200,191,184,176,167,155,140,140,128,105,114,208,206,205,204,203,201,200,198,220,221,221,221,221,222,211,203,207,200,189,186,176,163,156,140,132,120,95,172,214,204,205,204,203,201,200,199
10,131,133,135,138,138,139,141,142,144,144,144,144,146,149,151,152,150,150,151,150,151,152,152,151,149,150,151,151,134,136,139,141,142,143,145,146,146,147,147,148,150,151,152,149,152,152,153,153,153,153,154,153,152,152,152,152,139,141,143,145,147,149,149,150,151,151,152,153,154,153,176,127,129,159,155,157,157,157,157,156,155,153,153,153,143,146,149,149,151,153,153,155,155,155,157,157,157,156,187,127,109,166,158,159,159,160,160,159,158,157,156,155,147,149,153,154,156,157,156,159,158,158,161,161,160,161,191,136,102,167,161,163,164,163,161,160,161,160,159,159,152,153,156,159,160,160,161,162,165,163,163,164,163,164,194,147,104,168,166,165,165,166,164,164,165,163,161,160,155,157,161,164,163,163,164,170,161,169,171,171,169,168,198,157,107,168,172,170,169,169,168,167,166,165,164,163,159,160,164,166,166,166,168,180,124,103,159,153,167,174,200,169,106,164,176,174,173,174,172,171,169,168,169,168,162,164,167,169,171,171,174,158,93,54,82,89,120,183,198,173,103,160,180,177,177,176,175,174,173,172,172,170,165,168,170,172,175,174,176,177,109,60,78,76,85,185,211,182,102,162,184,179,180,181,179,177,176,175,174,172,166,171,174,175,176,178,178,185,165,103,141,97,71,172,186,164,100,166,187,183,183,183,183,182,180,179,178,177,170,174,177,179,179,179,184,196,165,90,185,150,87,114,107,121,94,167,191,187,187,187,186,184,183,182,181,180,173,176,180,181,184,180,180,208,172,61,148,178,117,67,70,93,86,170,193,189,190,189,189,187,186,185,182,182,175,179,182,183,193,204,188,205,184,85,81,194,150,90,73,98,79,169,195,190,193,192,191,190,189,187,187,186,178,181,184,185,190,213,185,192,188,125,48,165,185,120,80,92,76,173,199,193,194,194,193,192,192,191,189,188,180,184,186,188,187,178,159,144,223,176,61,96,197,150,96,77,76,168,202,194,195,195,195,195,194,194,190,189,183,186,188,190,192,181,156,122,187,140,51,75,166,165,128,79,70,171,206,198,198,198,197,197,196,194,193,192,186,188,190,190,194,198,154,143,130,61,72,121,150,164,131,81,65,176,207,200,200,201,201,200,197,195,194,195,187,189,192,194,195,208,186,147,124,94,161,204,170,143,120,82,71,185,206,202,202,202,201,200,199,198,197,197,189,192,194,196,197,216,189,167,167,152,214,215,176,129,111,83,91,204,203,203,204,202,202,200,200,200,199,198,191,194,194,196,198,211,202,187,180,167,219,202,167,129,103,79,111,214,203,204,204,204,203,202,202,202,201,199,192,194,195,199,199,208,203,181,179,173,213,188,156,124,100,75,118,217,205,207,206,206,205,203,203,203,202,201,194,196,198,201,200,202,204,193,194,169,195,181,146,117,94,73,124,218,206,208,208,207,207,207,206,203,202,202,195,197,198,200,202,199,198,198,193,162,190,179,139,111,93,76,136,219,207,209,209,209,208,207,207,205,204,204,195,199,200,200,203,202,198,194,179,150,176,173,138,114,97,78,164,218,208,210,209,208,209,208,207,207,206,205,196,199,200,200,203,201,208,186,158,151,173,152,149,133,94,91,203,215,212,213,212,210,210,210,209,209,207,207,196,198,200,202,204,199,214,200,180,172,168,158,165,143,80,129,220,213,215,214,214,214,213,212,211,210,209,208,194,196,199,201,201,191,212,207,192,179,159,162,157,128,74,179,219,213,214,215,214,212,214,214,212,211,209,208
21,152,156,160,164,166,168,171,173,174,176,176,177,178,178,179,177,176,176,175,174,175,173,172,172,170,168,168,167,151,156,161,166,167,171,173,174,176,176,179,180,181,181,179,180,181,178,178,176,175,174,173,173,172,169,169,169,154,158,162,166,168,172,174,175,177,179,181,182,184,181,190,148,147,187,179,180,179,176,175,174,173,173,172,170,155,159,164,167,170,173,175,176,178,181,183,184,184,184,207,128,101,190,181,181,179,178,177,175,176,174,173,171,155,160,166,169,172,175,178,179,180,183,186,185,183,187,203,128,114,191,182,183,181,178,180,180,178,175,176,175,157,161,166,171,173,175,178,181,183,184,186,187,183,195,201,124,118,193,183,183,182,153,123,180,180,178,177,176,160,165,168,172,176,177,181,183,184,184,186,188,186,200,201,126,125,195,184,184,178,137,92,176,182,179,178,177,160,165,169,173,178,180,183,184,185,186,188,190,188,202,196,127,128,196,185,184,174,127,109,188,181,182,180,178,159,163,169,174,177,180,183,184,187,189,190,191,188,206,192,125,123,198,186,183,167,112,134,194,183,183,181,179,160,165,170,175,177,182,184,185,188,190,191,192,189,212,193,124,119,198,188,180,162,104,166,191,185,184,183,181,163,167,173,178,180,183,185,186,189,191,192,194,190,221,194,116,132,202,181,174,140,109,190,188,186,185,185,183,164,169,174,177,181,184,186,188,191,191,192,190,198,217,174,104,147,200,176,174,109,130,197,188,187,186,186,185,164,170,174,177,181,185,187,189,190,199,174,140,166,194,139,88,152,197,185,160,96,170,196,189,187,187,186,186,164,172,175,179,182,185,188,191,190,201,172,120,109,104,100,82,161,192,184,130,110,197,192,191,190,189,188,186,165,171,175,179,183,186,189,191,197,194,187,166,144,98,77,102,146,164,159,100,147,204,191,192,192,190,189,188,167,173,177,180,185,188,192,191,211,216,205,220,183,132,77,93,109,125,120,93,183,200,193,194,193,192,191,191,168,173,177,182,185,189,190,201,195,193,201,216,171,113,87,81,95,103,93,117,204,197,197,196,195,194,193,191,169,174,178,183,187,190,189,211,165,153,187,159,165,125,97,84,79,93,81,151,210,197,198,197,196,195,193,192,169,173,179,184,188,192,191,214,192,159,128,98,173,152,107,89,78,84,82,173,208,199,199,198,198,196,194,195,169,174,180,185,189,191,195,215,178,131,106,82,148,171,126,98,87,84,77,173,209,199,200,199,198,197,195,195,170,175,180,186,190,190,201,217,169,151,148,113,177,190,144,124,93,88,77,171,212,199,200,200,200,199,197,195,170,176,181,187,191,189,209,219,180,173,136,158,238,192,150,139,101,92,84,179,211,202,202,202,200,199,198,198,170,176,181,187,192,190,211,221,202,162,143,221,226,177,142,136,108,95,89,184,212,204,203,202,201,200,199,199,172,177,182,188,193,191,210,235,203,154,165,229,209,173,138,125,113,97,100,197,211,205,205,204,203,201,200,200,170,176,183,187,192,191,210,225,175,171,168,226,204,178,158,115,105,96,113,207,207,205,205,206,203,202,201,200,168,175,182,185,188,189,205,204,173,196,158,223,205,169,156,120,102,95,129,212,205,206,205,204,201,199,199,199,169,175,182,186,189,191,199,194,209,204,164,219,189,155,134,114,105,94,143,214,205,207,205,204,203,200,201,199,168,175,182,187,190,193,196,199,212,189,157,202,175,142,115,104,102,91,160,214,206,208,206,204,203,201,201,200
5,165,166,169,172,172,171,172,173,174,173,175,174,175,175,175,174,179,168,174,173,172,172,170,170,169,167,166,166,167,169,172,173,173,173,175,171,188,179,146,180,176,176,177,174,201,137,167,177,175,173,171,171,171,169,168,167,169,170,173,175,175,177,178,174,186,206,128,176,180,177,176,183,210,125,163,181,176,176,174,173,172,171,171,170,171,172,174,177,176,176,180,177,182,217,137,167,184,180,175,203,190,121,177,180,177,177,177,175,174,173,173,171,173,175,176,177,180,197,151,177,183,226,157,160,188,180,182,216,159,131,188,179,180,180,178,178,177,176,174,173,174,177,178,180,176,212,148,158,186,229,180,154,189,177,203,211,139,154,188,181,183,180,179,180,179,178,176,175,177,178,179,182,175,210,176,140,192,224,174,148,188,185,208,181,123,175,187,184,184,182,181,181,179,178,177,177,178,179,181,183,178,206,208,143,188,215,164,137,189,191,192,133,136,192,184,185,185,184,183,182,181,179,178,178,179,181,183,184,180,193,229,161,174,215,182,141,185,185,177,115,168,192,187,187,186,185,184,184,183,182,181,180,180,181,183,185,185,189,229,188,149,214,181,149,158,167,166,126,185,190,188,188,189,186,185,184,184,184,183,182,181,183,184,186,187,186,222,224,163,187,176,161,123,146,148,138,191,190,190,190,189,188,187,187,186,184,183,182,183,184,186,188,189,187,206,229,219,172,151,162,118,124,126,156,196,191,192,188,188,187,186,185,185,185,185,185,184,185,188,188,189,190,191,223,229,210,144,139,125,119,110,167,196,188,194,200,204,206,206,199,188,186,176,177,185,188,189,190,191,192,190,206,229,226,188,130,117,118,112,134,172,184,180,163,172,186,173,175,187,175,133,160,187,188,189,191,192,193,194,193,224,229,199,144,119,117,113,121,139,159,139,111,132,144,143,156,164,162,133,181,188,190,191,192,194,195,196,193,213,229,197,144,120,113,112,122,118,111,120,167,196,193,196,193,192,170,144,190,189,190,192,193,195,196,198,194,212,229,198,149,123,111,115,113,112,161,194,202,196,198,190,190,179,142,182,193,189,191,193,195,195,198,199,195,218,229,199,154,126,114,110,93,177,212,198,197,199,190,178,192,142,160,200,189,190,193,195,196,196,197,198,197,222,229,193,152,125,112,106,105,150,177,198,199,183,178,182,174,121,177,197,193,191,194,196,197,197,197,198,201,228,226,187,152,122,105,104,115,110,125,144,156,162,177,178,139,146,197,197,188,192,194,195,196,197,199,197,206,229,221,184,147,118,101,103,107,117,136,137,146,167,161,140,162,199,201,163,122,190,193,196,196,197,200,196,212,229,217,178,140,122,104,108,113,133,149,144,142,148,130,170,202,199,186,116,115,192,194,196,197,198,200,198,219,229,207,166,146,130,107,114,131,145,149,147,128,123,180,204,194,204,168,111,114,193,195,197,199,200,200,200,226,229,196,163,156,135,108,116,138,147,146,137,130,189,206,197,207,174,110,102,91,194,196,198,201,202,200,207,229,226,195,171,158,135,109,114,137,138,138,122,185,210,200,206,196,127,100,97,83,194,197,198,200,200,198,217,229,223,202,179,152,126,103,107,126,128,114,164,210,202,209,170,122,105,96,84,75,197,198,201,202,205,204,226,229,220,202,163,120,99,82,88,97,111,158,209,206,209,159,114,107,100,94,85,72,181,185,188,190,171,188,229,225,205,178,124,84,75,66,73,60,128,218,205,207,154,103,104,99,91,89,91,80
18,173,176,178,180,183,185,187,190,192,193,195,197,197,199,200,200,200,200,201,200,200,201,201,202,202,203,203,203,175,178,179,181,184,186,189,192,194,195,197,198,199,200,200,201,202,202,204,206,201,204,204,203,204,204,204,205,176,178,180,183,185,188,190,193,196,197,198,200,201,202,204,204,203,195,174,188,212,204,204,209,205,206,207,207,177,179,182,184,188,190,191,194,197,197,201,202,203,203,201,200,222,193,158,131,176,179,161,183,213,207,208,208,177,181,184,187,189,191,193,196,197,200,202,204,205,204,175,154,195,178,132,131,111,162,161,126,188,215,209,210,180,182,184,188,190,192,196,198,200,201,203,198,212,220,170,148,181,162,122,123,109,158,178,133,133,219,210,210,182,183,186,190,192,195,198,199,202,203,208,176,159,200,190,170,188,168,151,144,129,134,158,136,122,215,212,212,183,185,188,190,194,197,199,202,203,207,220,189,163,147,195,181,168,188,182,181,173,146,123,118,125,216,213,213,184,187,189,191,194,197,200,203,203,212,214,213,193,149,151,184,149,169,197,191,191,163,118,95,126,219,214,214,185,188,190,193,196,198,201,203,206,213,186,209,192,168,122,149,160,129,172,191,186,158,125,96,126,223,214,216,186,189,192,195,198,201,203,203,206,214,158,156,180,153,108,117,151,116,118,160,178,170,141,101,139,226,214,217,187,190,192,196,199,202,204,206,207,216,176,149,168,128,99,103,129,109,96,119,186,187,156,109,133,228,215,219,188,191,193,197,199,202,203,205,207,219,202,168,159,127,102,95,123,105,86,99,181,203,168,133,107,206,222,218,189,192,195,197,200,202,204,207,209,220,194,158,146,128,105,90,127,111,74,160,207,213,187,146,104,138,229,218,190,192,196,198,201,204,206,209,209,216,211,189,159,132,112,103,113,94,146,221,219,207,183,144,120,125,225,221,191,193,196,199,202,205,207,211,209,218,216,194,161,135,121,116,109,140,214,231,225,208,172,138,117,139,229,220,191,194,198,199,202,205,208,211,210,219,219,199,169,146,135,138,139,194,227,232,213,196,165,129,108,157,231,219,193,195,198,200,203,206,208,211,212,217,219,205,181,165,157,139,148,202,226,227,199,173,149,125,104,179,232,221,192,196,197,201,203,207,209,211,211,215,216,206,188,170,160,147,148,191,228,221,190,167,139,121,107,195,231,223,191,194,199,202,204,206,209,213,214,213,215,208,191,169,164,166,146,181,227,213,179,154,131,116,115,213,228,224,191,194,199,201,203,206,209,210,214,214,212,206,195,177,183,175,146,165,226,198,169,141,125,112,129,226,226,226,191,194,197,199,202,205,209,208,212,215,210,203,197,185,179,180,152,154,215,184,156,132,120,108,146,234,224,226,191,195,198,200,203,205,210,210,212,213,211,204,199,188,177,177,157,142,199,175,139,125,119,105,164,232,223,226,194,196,200,202,203,207,210,211,212,216,214,210,206,189,174,166,149,128,182,157,126,118,119,112,200,229,225,226,193,196,200,202,204,208,209,211,213,215,209,220,205,181,163,148,125,126,160,139,125,122,110,150,232,226,226,227,193,196,199,202,205,207,209,211,214,212,209,224,200,176,159,134,127,130,154,134,125,121,115,201,228,225,226,227,193,197,199,202,205,208,209,211,215,210,214,226,204,184,169,147,136,139,154,128,130,104,152,233,225,226,226,227,193,197,198,201,205,208,209,210,213,207,215,219,210,191,180,150,131,152,145,129,120,102,191,229,223,226,226,227
7,209,212,214,215,217,218,221,221,221,222,221,221,221,221,220,220,220,219,220,217,217,216,215,214,212,211,210,209,211,214,216,217,219,219,222,222,222,223,223,223,222,222,222,221,221,219,219,220,219,217,215,214,214,213,212,212,213,215,217,219,222,222,224,224,226,227,226,224,224,225,225,223,222,222,221,221,219,219,217,216,214,214,214,213,215,216,219,220,223,224,227,226,227,227,226,227,228,227,226,224,223,224,222,222,221,220,218,217,217,215,215,214,216,219,222,223,224,226,230,230,229,230,228,229,229,228,227,226,226,224,224,222,222,221,220,219,219,217,217,215,218,222,225,226,228,231,230,231,231,231,231,230,228,229,229,228,227,226,225,224,222,223,221,220,220,219,218,216,221,223,226,227,230,233,235,239,237,235,236,237,237,237,236,234,233,233,232,233,230,226,225,222,222,221,219,217,221,224,228,230,231,229,213,205,217,223,214,203,205,205,213,212,209,205,211,198,198,218,222,224,224,223,220,220,224,227,230,231,229,212,176,148,151,166,179,169,159,148,165,185,184,167,182,151,180,226,192,223,226,223,222,220,225,228,227,224,214,201,191,178,145,127,148,156,160,144,150,171,169,164,160,155,167,196,175,223,229,226,223,222,223,219,210,203,205,211,212,187,129,111,128,143,134,107,119,114,121,131,125,123,130,136,184,230,212,224,226,222,213,208,207,208,199,187,201,167,103,117,131,151,149,134,114,128,165,184,173,152,167,169,207,255,173,206,232,224,211,207,203,196,184,178,182,174,128,98,105,126,134,148,141,126,166,189,178,165,163,160,150,168,167,226,230,227,210,200,192,188,187,185,184,188,156,99,70,71,85,111,117,114,130,128,132,124,131,145,161,188,229,235,230,229,202,194,188,184,183,182,183,173,140,99,71,85,167,140,136,146,162,176,188,204,227,238,242,243,236,233,231,231,194,185,178,176,168,167,164,155,129,91,81,70,204,255,244,249,254,254,251,247,243,239,237,237,236,236,233,231,188,182,177,175,175,172,169,165,142,93,77,75,103,255,247,248,246,245,243,241,241,241,240,238,237,237,234,232,188,185,178,179,173,173,178,178,146,94,81,82,78,238,255,248,249,247,246,244,244,244,243,239,238,238,236,234,194,196,191,178,169,158,163,161,132,102,95,87,66,199,255,249,248,247,248,246,246,245,244,241,241,239,237,236,196,195,192,177,167,154,147,139,116,106,107,96,73,107,255,252,251,250,249,247,246,245,245,243,242,240,238,236,188,183,171,154,145,136,127,120,107,102,109,93,64,134,255,252,252,251,249,247,246,246,244,244,243,240,239,237,170,165,144,122,107,103,108,84,80,93,96,122,187,236,255,251,250,250,248,247,246,246,245,244,243,241,239,237,121,134,123,100,124,176,232,195,155,164,205,248,255,255,254,253,253,251,249,248,247,246,245,244,244,243,238,237,39,53,46,139,255,255,255,255,255,255,255,255,252,254,255,255,254,252,251,250,250,248,246,245,244,243,240,239,18,16,22,226,255,249,253,252,253,255,255,255,255,255,255,255,254,253,253,252,249,248,246,246,244,243,240,237,29,10,122,255,247,252,253,255,255,255,255,255,255,255,255,254,254,253,253,251,248,246,246,245,245,246,245,245,37,22,230,255,251,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,251,252,253,244,238,226,210,41,30,217,237,232,234,236,237,237,238,237,236,236,237,235,232,231,231,230,229,227,225,211,167,120,102,80,63
19,112,115,118,122,125,128,130,132,135,136,137,140,140,141,141,141,143,142,141,141,141,139,139,139,139,138,138,138,113,117,120,123,126,129,131,133,136,137,138,140,141,141,142,143,143,142,141,141,142,141,141,141,139,139,139,139,114,117,122,125,128,131,132,134,136,138,140,141,141,142,143,143,144,144,143,143,143,142,142,142,142,142,141,139,114,118,123,126,130,132,133,135,137,138,140,142,143,145,144,143,144,144,145,144,144,143,143,143,142,142,143,141,116,119,123,126,130,132,134,136,137,140,141,143,144,143,146,147,145,145,147,146,145,144,144,143,143,143,143,142,116,119,123,127,131,134,136,137,139,141,142,142,149,141,102,132,149,146,147,147,146,146,145,145,145,143,142,142,117,120,124,129,132,135,137,138,140,142,144,141,159,147,84,84,152,147,148,147,146,147,147,146,145,144,144,143,118,121,125,130,133,136,138,140,141,142,145,143,164,153,97,63,141,151,148,147,147,148,148,147,146,145,145,144,119,122,127,131,134,137,137,139,143,146,146,143,159,142,98,56,126,155,148,149,149,150,148,145,144,147,146,145,120,122,127,131,135,136,142,144,116,105,121,130,120,113,101,89,99,116,122,116,113,122,105,130,148,133,148,146,119,123,127,131,136,135,152,139,104,102,107,114,120,115,112,104,97,107,125,112,109,115,106,149,155,103,149,147,121,124,130,134,135,144,152,142,116,79,76,79,102,105,107,93,91,94,101,100,97,95,96,110,108,116,152,146,121,126,130,134,136,154,162,149,111,65,57,65,66,67,70,63,62,74,84,87,87,93,100,111,133,151,148,148,121,126,130,132,151,160,163,134,101,74,62,70,73,68,42,74,135,147,150,150,152,157,156,156,155,149,148,149,122,128,128,145,164,162,165,147,109,71,60,60,78,78,59,54,131,162,154,155,155,154,153,152,152,152,150,149,123,126,134,162,162,164,172,155,109,66,56,52,64,82,74,56,47,149,158,155,156,156,154,154,154,153,152,151,125,125,153,165,164,169,169,153,110,69,57,64,61,56,58,69,44,130,164,155,157,157,156,155,154,153,153,152,121,138,167,163,165,167,164,152,118,75,55,53,72,67,49,39,59,156,159,157,157,158,157,157,155,154,154,153,125,160,164,164,165,163,165,160,132,76,58,47,61,71,65,33,108,169,155,158,158,158,157,157,156,155,154,153,154,168,163,164,161,161,166,154,116,80,65,59,55,52,65,45,140,165,158,158,159,159,158,158,157,155,155,154,169,159,164,159,151,150,148,132,99,88,82,72,66,52,39,64,159,161,159,160,159,159,159,158,158,156,155,154,161,158,157,151,149,145,137,126,109,92,80,79,72,62,36,124,170,159,160,161,160,160,160,159,158,157,157,155,155,152,154,149,147,146,137,124,126,108,76,69,74,68,44,139,168,160,160,161,161,161,160,159,158,158,158,157,151,152,152,143,143,143,131,115,117,97,52,49,72,55,85,169,160,162,161,161,161,161,160,160,159,159,158,157,151,155,143,135,133,130,115,95,82,64,35,45,63,58,146,164,160,160,160,160,160,160,160,160,159,158,157,156,152,151,135,117,114,114,92,69,63,54,49,62,85,138,164,159,160,160,160,160,160,160,160,159,159,158,158,157,142,139,129,105,86,86,75,60,55,131,143,147,162,164,159,161,161,161,162,161,160,160,160,159,159,159,158,157,122,129,125,94,59,44,43,28,98,166,159,161,159,160,161,161,163,163,163,162,162,161,161,160,160,159,158,158
5,158,158,158,158,159,159,159,158,158,157,157,157,156,155,154,153,152,150,149,147,147,146,145,143,142,142,140,140,162,162,162,162,162,162,161,162,162,160,159,159,158,157,157,156,155,153,151,150,149,148,146,145,143,143,142,141,166,166,166,166,165,166,166,165,166,165,163,163,162,161,158,159,153,151,155,152,151,151,150,147,146,145,143,141,169,169,169,168,168,169,170,169,168,168,167,166,164,161,161,166,124,135,159,156,154,153,151,150,148,146,145,142,172,172,173,173,175,161,167,174,171,171,170,169,170,159,143,116,98,146,161,158,158,157,155,152,151,149,148,145,175,176,178,177,188,136,141,179,176,174,173,179,165,122,106,124,151,164,164,162,161,160,158,156,154,152,150,148,180,180,181,180,184,117,138,182,179,172,176,166,121,112,157,170,170,167,164,163,165,163,161,159,157,155,152,151,184,183,183,184,172,113,157,185,176,157,144,114,115,142,127,129,130,131,130,129,147,160,161,162,160,158,156,155,187,187,187,186,160,115,173,189,173,134,103,107,157,108,91,99,116,127,129,128,128,142,129,158,163,161,159,158,190,190,191,189,169,116,161,191,167,124,99,112,127,96,91,87,94,95,89,98,104,107,116,162,165,163,161,159,193,193,193,192,173,118,146,193,160,119,96,95,103,99,78,65,61,59,63,69,75,83,136,164,169,166,163,162,195,196,196,194,170,124,116,178,154,111,81,78,87,81,63,66,72,74,89,93,114,127,124,118,158,170,166,164,197,199,199,198,167,137,129,132,128,110,90,75,68,56,61,78,73,101,133,141,156,139,128,122,124,165,169,167,200,200,201,202,193,158,149,138,116,113,96,74,69,61,63,73,110,176,188,186,179,160,161,148,123,167,171,170,202,202,202,203,203,188,160,165,156,128,90,67,61,67,67,129,184,191,189,185,162,158,156,122,146,176,172,171,204,204,204,205,205,205,184,174,172,143,103,64,60,60,92,190,196,193,192,171,143,154,129,117,174,179,176,174,205,205,206,207,207,208,201,175,180,154,114,68,61,63,99,168,185,196,181,156,145,133,95,150,184,181,179,176,206,207,207,208,209,210,206,182,185,163,122,78,65,78,83,103,126,149,144,146,134,99,127,183,185,183,181,179,208,208,209,209,210,210,208,180,189,171,128,87,67,80,85,99,119,113,121,133,106,126,185,188,186,184,182,180,209,209,211,210,210,210,209,180,192,172,130,100,71,75,85,99,118,118,100,99,116,184,193,190,187,185,183,181,212,211,212,213,212,212,210,182,194,172,136,111,77,71,87,103,114,106,80,91,176,197,194,192,189,187,185,183,214,213,214,214,214,215,210,184,189,170,141,114,80,68,88,101,103,85,81,166,200,198,195,194,192,189,187,185,215,214,215,216,215,216,212,184,180,164,139,115,82,66,85,90,86,67,131,203,201,199,197,196,194,191,188,186,216,215,216,216,217,217,212,183,176,162,136,114,81,67,80,83,72,86,188,205,203,201,199,198,196,192,189,188,217,217,217,217,218,219,209,185,178,161,137,111,80,68,73,69,73,162,207,206,204,202,201,199,196,193,191,189,217,218,218,218,220,220,206,190,181,164,140,104,74,64,61,77,158,209,208,207,205,203,201,200,197,195,193,190,217,217,218,219,220,217,201,189,180,165,135,93,68,60,101,180,211,212,209,208,207,204,202,201,199,195,194,192,216,217,217,219,218,212,191,175,174,158,123,82,66,74,183,214,210,211,209,207,206,204,201,200,199,196,194,193
3,143,146,149,151,152,154,156,155,155,155,155,154,154,154,155,152,151,149,147,146,144,141,138,134,132,130,128,124,144,147,150,153,154,154,157,156,157,158,157,155,154,154,153,157,154,151,148,147,144,142,140,136,133,130,129,126,145,148,150,153,154,155,156,157,157,156,157,156,154,161,128,102,157,150,150,148,146,143,140,138,135,132,130,128,146,149,151,155,154,156,158,159,158,158,157,158,157,164,126,53,147,154,150,149,147,144,141,137,135,133,131,129,148,149,153,156,157,158,158,158,159,160,159,157,157,163,125,45,131,160,151,149,147,146,142,138,136,135,133,131,149,151,155,157,159,160,161,161,162,163,163,160,158,163,119,36,126,162,152,151,148,147,144,141,139,137,134,132,151,154,157,159,161,164,164,165,165,166,166,164,162,168,141,49,116,165,153,153,151,149,146,144,142,138,136,135,154,157,159,162,164,166,167,167,167,167,166,166,164,161,125,45,102,171,155,155,154,150,148,146,145,141,139,138,155,159,162,165,165,167,170,169,169,170,169,166,172,146,96,44,89,169,158,157,155,153,151,148,145,144,141,139,157,160,165,167,169,170,172,172,173,173,173,169,177,186,152,81,119,110,147,163,156,155,153,150,147,145,143,141,158,162,166,169,172,173,174,175,175,175,176,169,117,114,155,101,142,69,92,175,156,156,154,153,149,147,145,142,159,164,168,171,172,173,175,177,178,176,169,173,121,66,94,106,115,98,32,109,168,157,157,155,152,149,146,144,161,165,169,171,173,174,175,177,178,177,111,98,156,108,60,109,114,111,64,37,134,167,157,156,153,150,148,145,163,167,171,173,174,175,177,179,182,173,130,84,114,139,68,92,98,95,90,35,114,174,159,158,154,153,150,147,164,169,172,174,175,177,179,181,182,132,146,121,79,127,83,25,18,105,101,30,133,173,161,158,157,154,150,148,165,170,173,175,177,179,179,186,163,94,91,121,49,81,73,13,5,103,108,37,146,172,163,159,158,156,152,149,166,169,173,175,178,181,180,187,161,105,46,92,23,51,92,45,44,115,106,38,151,172,164,162,159,158,154,151,167,169,174,176,179,180,183,181,139,95,51,62,49,37,97,48,98,121,87,36,160,173,166,163,162,159,155,151,167,171,175,178,181,182,184,180,156,122,68,44,48,63,123,113,126,101,42,63,181,169,168,166,163,159,156,152,168,172,176,180,181,182,186,182,165,136,86,70,57,129,176,154,111,85,22,121,184,168,170,168,164,161,156,153,170,173,176,180,181,184,186,182,162,140,101,76,70,152,156,130,106,73,36,167,177,171,170,168,164,163,157,155,169,173,176,181,182,184,187,183,150,131,107,88,84,150,147,123,101,47,70,191,174,173,171,169,166,163,159,155,167,173,177,181,183,185,188,189,156,135,120,107,91,138,140,111,78,25,136,190,176,175,174,171,168,164,161,157,168,172,178,182,183,186,189,193,174,140,133,113,86,110,113,85,35,55,192,180,178,175,174,172,168,165,162,159,168,173,179,182,184,185,188,191,185,156,135,114,92,89,93,68,15,139,193,179,181,176,174,172,169,166,163,160,169,174,179,182,185,187,187,191,187,167,130,118,111,95,87,42,50,191,183,182,181,178,174,172,170,167,165,160,169,173,178,182,184,188,190,191,175,165,143,138,120,98,75,23,92,199,180,184,183,181,176,172,171,168,166,163,168,173,178,181,185,189,190,189,163,170,156,138,115,86,58,15,127,198,181,182,181,179,175,173,169,166,165,161
21,189,189,189,190,191,191,191,191,190,190,191,188,190,190,187,187,186,185,185,183,182,181,179,176,176,174,170,168,191,192,192,193,195,195,195,194,194,192,201,183,149,193,191,190,190,188,188,187,185,184,182,181,179,177,174,172,194,195,196,197,198,198,197,198,199,197,199,198,138,164,201,194,194,193,191,191,189,187,186,183,185,181,178,176,197,198,199,199,200,200,200,201,202,202,199,200,164,126,202,198,198,197,195,194,192,190,192,173,150,186,181,179,200,201,201,202,202,203,203,204,204,203,202,205,183,107,183,205,199,199,198,198,196,191,197,168,112,182,186,182,203,203,204,205,205,205,206,206,205,204,206,205,198,127,153,212,200,201,199,200,198,194,205,153,117,190,188,184,205,205,207,206,207,208,209,208,207,206,208,209,212,154,129,208,204,203,202,202,199,202,197,135,132,200,188,187,207,209,210,210,210,210,210,210,210,210,211,211,219,168,114,195,210,204,204,204,200,210,190,119,158,201,190,189,210,211,212,213,212,213,212,212,212,212,214,211,225,186,120,176,216,206,206,205,206,208,173,116,186,200,193,191,212,214,215,215,215,216,216,215,215,216,216,212,220,207,145,156,219,207,209,207,209,193,141,128,205,197,196,193,216,217,217,217,217,218,217,216,217,218,217,217,213,211,168,140,214,211,210,212,211,186,108,163,209,199,198,196,217,218,218,217,218,219,218,217,218,219,219,219,196,173,165,127,204,216,211,217,210,165,116,205,205,201,200,197,218,218,220,220,219,219,219,220,219,219,221,217,215,204,185,141,191,226,214,217,196,131,151,217,204,204,201,199,219,221,222,222,221,221,222,222,222,222,225,213,198,226,215,183,147,193,205,192,168,111,192,215,208,205,204,202,222,224,223,224,224,224,223,223,224,224,225,218,175,158,208,186,167,127,157,167,125,124,219,211,210,207,205,203,223,224,224,224,225,225,224,224,225,224,226,219,178,95,102,194,187,112,97,122,98,145,225,211,210,209,207,205,224,224,224,225,226,226,226,227,227,226,228,225,188,151,108,145,173,112,106,97,84,159,227,212,212,211,209,206,226,226,226,227,228,227,226,227,227,229,224,205,206,196,160,109,158,137,116,127,88,169,227,214,215,212,210,208,227,227,227,229,230,230,230,230,230,231,212,212,213,200,185,162,125,150,130,139,83,148,230,215,216,213,211,209,228,229,229,230,231,231,231,232,232,228,213,204,164,173,199,182,146,108,133,119,83,103,226,217,217,214,213,210,227,229,229,230,230,231,230,231,232,229,215,204,161,100,136,180,142,78,103,141,107,71,168,228,215,216,213,210,228,229,230,231,230,231,231,231,232,228,216,200,167,134,86,127,115,85,92,149,137,79,123,229,212,213,215,218,228,230,231,231,232,231,231,232,233,231,210,200,192,150,102,125,148,94,120,167,148,78,143,230,218,221,196,149,227,229,230,231,231,231,231,232,232,231,206,201,201,144,123,150,223,180,162,166,118,73,197,221,187,138,87,66,236,236,237,238,238,237,236,236,237,236,210,206,185,165,121,152,218,207,170,143,106,81,150,110,83,64,65,71,191,194,199,204,208,211,214,218,222,224,207,194,180,158,110,145,200,181,155,132,105,74,68,68,76,56,65,74,123,123,123,123,127,128,127,129,130,125,160,194,183,151,118,144,197,177,142,112,86,68,69,63,74,48,55,77,132,132,132,131,131,134,135,132,135,127,146,198,180,152,131,130,179,163,124,94,70,63,63,56,65,43,49,74
0,191,192,193,193,194,195,196,196,196,196,195,195,195,195,195,195,195,195,195,196,195,195,196,196,194,194,194,194,192,193,194,194,194,196,196,196,197,196,196,196,196,196,196,194,191,194,196,196,196,197,197,197,196,196,196,196,194,195,195,196,196,196,197,197,197,197,197,195,192,194,201,187,167,171,185,184,187,195,195,192,195,197,198,198,195,195,196,197,198,197,197,198,198,199,202,195,175,172,197,184,157,140,138,149,153,172,180,165,186,199,199,199,196,197,197,198,199,198,198,199,197,200,214,202,171,152,179,187,167,140,110,133,138,138,156,140,173,200,200,199,197,198,199,199,199,199,201,203,187,182,211,205,178,155,175,198,176,147,116,145,143,125,138,133,165,200,201,201,197,198,200,200,200,200,207,214,184,161,189,208,185,160,171,208,186,152,123,155,146,115,121,129,148,197,202,202,197,199,200,200,201,203,212,216,191,165,173,210,191,159,161,207,188,150,120,153,141,105,111,127,122,180,202,203,198,199,200,200,201,209,208,209,199,173,158,198,193,155,147,199,183,139,104,131,128,96,104,130,106,151,200,204,200,201,201,201,205,209,192,200,204,176,146,180,191,150,128,175,169,127,91,109,113,89,106,136,107,135,198,205,201,201,202,202,209,204,180,186,197,173,137,158,180,142,110,146,154,121,89,97,102,87,120,148,116,136,199,207,200,201,202,204,209,200,176,170,181,160,125,135,163,132,96,120,144,117,87,99,105,101,149,162,125,140,200,208,199,200,201,206,211,195,168,149,163,150,116,117,152,128,86,104,140,116,96,120,119,122,169,167,127,146,201,207,199,200,201,206,217,203,171,139,141,142,111,107,147,131,86,101,145,132,139,162,146,133,164,165,127,153,203,207,200,201,201,207,220,209,178,142,120,128,117,109,150,143,104,118,159,166,174,173,156,135,138,146,120,154,203,206,201,201,202,209,223,214,189,158,129,123,127,125,157,161,153,171,186,185,178,165,147,131,118,114,105,151,203,207,202,202,202,210,224,219,197,173,154,143,142,153,172,184,194,200,199,190,175,158,138,121,109,97,94,150,205,208,202,202,202,209,221,220,206,187,173,161,154,160,177,192,201,202,200,189,170,153,133,114,101,92,100,165,207,209,201,202,202,206,217,220,213,200,186,170,161,161,174,190,200,200,195,184,166,149,128,109,97,97,138,193,210,210,197,199,199,199,212,220,218,208,193,175,164,163,174,192,201,198,189,178,162,144,123,103,95,129,186,207,210,210,161,164,167,167,195,218,220,210,194,179,167,163,175,194,198,192,181,171,156,136,115,98,108,169,202,206,207,207,111,112,114,115,159,210,214,205,195,183,170,162,174,190,190,179,167,156,142,124,106,96,114,153,164,166,169,172,103,104,103,101,136,200,203,198,195,186,172,160,170,185,181,166,148,134,123,112,100,97,102,108,113,122,140,159,103,104,104,102,128,193,196,194,195,186,172,160,166,181,175,153,127,112,104,100,100,104,107,116,140,169,193,199,102,102,103,103,125,191,196,194,195,184,172,162,162,174,166,139,109,96,92,98,108,124,149,178,203,212,209,198,102,102,102,102,122,193,204,197,194,181,170,164,157,162,156,126,99,89,92,108,139,184,214,226,224,220,212,199,102,103,102,102,119,192,210,203,194,180,171,166,152,153,148,119,93,87,104,151,200,226,233,228,222,224,224,215,103,102,102,102,118,186,210,207,194,179,171,166,149,147,144,114,88,88,141,200,223,231,231,222,217,223,230,229
6,192,193,193,192,192,192,193,192,193,192,191,191,190,190,189,190,188,188,188,186,185,185,185,184,183,183,181,179,194,194,194,194,194,194,194,194,194,192,192,192,191,191,191,190,189,190,188,188,186,186,186,185,184,183,182,181,196,196,196,196,196,195,195,196,195,194,194,194,194,192,192,191,190,191,190,189,188,187,187,186,185,184,183,182,196,197,198,197,197,197,196,196,195,196,196,195,194,193,192,192,192,191,190,189,189,188,187,186,184,184,184,182,197,198,199,198,198,198,198,198,197,196,196,196,196,195,194,194,194,192,191,191,189,189,188,187,186,185,185,184,198,200,201,200,201,201,200,199,198,198,197,197,197,195,195,196,194,193,192,192,191,190,189,188,187,186,185,185,199,201,202,202,202,202,201,201,200,199,198,197,198,197,197,196,196,195,194,193,193,191,191,191,189,187,185,185,201,202,203,202,203,202,202,202,202,204,203,202,199,200,200,200,199,197,195,192,190,188,180,177,186,187,188,185,202,204,204,203,203,202,204,203,198,189,185,189,190,181,173,169,163,172,173,172,165,166,149,160,198,175,176,188,203,204,205,206,205,205,198,184,177,162,151,146,148,169,161,151,142,150,169,171,162,160,154,155,181,147,173,191,204,206,209,207,197,187,167,163,170,167,167,149,104,135,155,153,126,142,144,141,133,118,120,127,141,166,190,188,207,205,196,184,174,168,163,159,163,170,164,124,94,83,96,99,100,114,123,135,139,156,168,177,189,194,191,189,194,184,174,169,164,160,158,151,155,161,152,120,89,82,86,112,141,172,193,197,201,203,201,199,196,192,192,191,186,182,174,166,161,161,160,156,156,159,161,145,102,73,139,208,205,208,202,201,199,198,198,196,196,194,193,191,194,182,174,167,163,162,162,157,156,159,161,143,102,80,99,206,204,202,202,201,200,200,200,197,196,196,194,193,183,176,174,168,163,162,161,162,158,160,158,147,104,87,73,169,213,203,204,203,202,201,200,199,197,196,196,194,176,174,172,166,165,163,163,163,165,167,165,155,114,86,75,125,215,203,204,203,202,202,201,200,198,196,195,194,185,166,164,167,172,169,163,158,153,155,156,140,109,87,81,85,205,208,204,204,203,202,202,200,199,197,196,196,179,161,162,171,174,174,162,157,151,149,142,124,108,93,77,114,211,207,206,205,205,203,203,202,200,198,197,197,158,151,164,169,167,164,158,150,143,149,140,113,108,101,76,188,215,206,206,206,206,206,204,202,201,201,198,197,123,137,151,163,157,149,141,133,125,124,113,105,104,107,79,192,212,207,207,206,205,204,204,202,201,199,198,196,73,95,118,143,140,129,121,115,109,91,77,91,111,111,72,178,215,206,207,206,205,204,203,202,200,198,198,196,70,53,57,82,102,105,92,88,89,82,81,102,107,96,89,196,211,208,208,206,206,204,203,202,201,199,198,196,73,61,41,46,46,64,111,136,118,92,91,110,121,167,197,211,208,209,207,207,206,206,203,203,203,200,198,197,69,68,43,49,36,142,227,220,212,182,166,177,205,217,214,210,209,209,207,207,206,206,204,203,202,200,198,196,67,69,46,37,65,216,217,213,216,220,221,219,215,211,211,211,210,209,208,207,206,205,204,203,204,207,209,206,72,65,44,36,157,226,213,215,215,214,213,212,213,213,213,211,210,209,209,211,212,213,208,204,198,171,147,148,73,53,36,95,228,213,216,214,215,214,214,214,212,212,212,211,210,211,209,188,159,146,131,113,95,72,57,56
21,165,168,170,171,171,172,173,173,173,173,172,165,163,170,171,169,167,166,165,164,162,160,158,157,156,155,153,151,166,169,171,172,173,174,174,175,175,175,173,153,138,161,172,171,169,168,167,166,165,162,160,158,157,156,155,153,167,170,172,174,175,176,176,177,177,177,174,154,124,139,170,173,172,171,169,168,167,164,157,146,153,158,156,155,169,171,173,175,177,178,179,180,179,179,177,163,130,116,161,175,174,173,172,170,169,166,150,118,134,159,159,157,171,173,175,177,178,179,180,181,181,181,180,172,141,108,146,175,176,175,174,172,170,166,142,105,128,160,160,159,172,175,177,178,179,180,181,182,182,183,183,178,156,118,130,173,178,177,176,174,172,164,134,102,136,162,162,161,174,176,179,180,181,182,183,183,183,185,185,183,169,128,117,166,179,179,177,176,173,159,123,105,148,164,163,162,176,178,180,181,182,184,185,185,185,186,187,186,177,136,109,154,180,179,178,177,172,153,116,114,158,166,165,164,177,180,181,182,184,185,186,187,187,188,188,187,181,149,114,143,179,181,180,177,166,139,106,128,165,168,167,165,178,181,182,184,185,185,186,187,188,189,189,188,182,163,128,132,175,182,181,177,158,124,99,144,170,169,167,165,179,180,183,185,185,186,187,188,189,190,191,189,186,176,148,128,160,180,181,175,153,115,110,160,172,171,169,167,180,181,183,186,187,188,189,189,190,191,192,191,187,178,164,138,133,153,163,157,135,106,131,170,173,172,170,169,180,182,184,187,188,189,190,191,192,193,193,192,182,151,141,140,123,122,126,125,103,97,151,175,174,173,171,170,181,183,185,187,189,190,191,193,194,194,194,192,176,136,112,125,125,120,122,117,87,103,166,177,175,174,173,171,182,184,186,188,189,191,193,194,194,194,194,187,165,143,114,111,119,110,114,112,87,106,169,178,177,175,174,172,182,185,187,189,190,193,194,195,195,195,192,171,141,138,118,97,100,85,103,121,96,94,156,178,177,176,175,173,183,186,188,190,192,194,195,196,196,196,191,167,130,124,111,81,80,74,100,130,110,87,129,175,178,177,175,174,185,187,189,192,193,195,196,196,197,196,190,167,129,110,97,69,79,94,131,145,126,88,102,167,178,177,176,174,185,188,190,193,194,195,196,197,199,197,186,162,130,103,85,67,90,127,157,150,124,86,96,166,179,178,176,175,186,188,191,193,195,196,197,198,199,197,186,169,145,110,84,78,115,157,159,139,112,78,104,171,180,179,177,175,187,188,191,193,195,196,197,198,199,197,187,173,153,121,98,103,148,169,152,127,104,76,119,177,181,180,178,176,187,189,191,194,195,197,198,199,199,198,185,171,154,127,103,111,156,165,147,124,99,79,134,180,181,180,178,176,187,189,192,194,195,197,198,200,200,198,184,165,150,127,105,111,150,158,140,116,90,80,147,183,182,180,178,177,187,189,193,195,196,197,199,200,200,199,186,164,152,133,112,110,141,148,129,103,77,87,162,184,183,181,179,177,187,189,192,195,196,197,199,200,200,200,193,172,156,138,116,104,125,129,111,87,66,106,175,184,182,181,179,177,186,188,190,193,195,196,198,199,199,199,196,180,163,141,116,101,109,113,99,76,68,134,181,183,181,179,178,177,186,188,190,193,195,196,197,198,199,199,197,185,166,143,121,108,105,108,98,72,90,163,183,182,180,179,178,176,186,188,191,193,195,197,198,198,199,199,196,186,169,147,131,121,111,109,95,72,119,179,184,182,180,179,177,176
13,176,177,181,185,188,193,196,198,202,202,204,206,208,207,208,208,207,211,213,210,211,210,209,211,211,212,212,212,177,180,185,187,190,195,197,200,203,204,206,208,209,208,210,209,209,206,203,214,212,213,212,213,214,214,215,215,179,182,186,189,192,196,199,201,205,205,207,211,211,209,213,212,216,187,128,143,221,215,215,214,214,214,216,216,181,184,188,192,194,198,201,202,206,206,209,211,210,212,212,223,235,189,122,81,223,209,219,220,214,216,217,218,183,186,189,193,196,200,204,206,207,207,211,209,217,187,151,175,230,183,119,76,147,131,132,191,226,219,220,219,184,187,190,195,199,202,205,207,210,212,213,221,252,184,132,118,218,172,124,49,128,151,83,93,229,220,222,219,185,189,192,196,200,204,206,208,213,213,210,209,233,215,156,126,207,162,99,76,199,168,91,64,202,227,220,221,186,190,194,197,202,205,208,211,211,213,214,150,111,173,174,111,201,192,81,130,216,154,94,65,207,229,223,226,188,192,196,198,203,207,210,212,212,231,212,157,108,102,171,97,223,210,99,153,206,144,88,70,220,228,226,227,189,193,198,202,206,209,211,211,228,213,214,179,130,85,153,112,124,147,64,151,237,167,75,83,232,228,230,229,190,195,200,204,206,210,212,217,225,172,206,182,127,72,122,140,34,5,57,165,209,136,45,112,241,226,230,231,191,196,200,204,207,210,212,224,225,176,169,175,128,64,98,136,69,0,76,184,158,97,53,170,245,227,230,231,192,196,199,204,208,212,216,231,219,174,147,188,119,72,83,119,75,48,140,183,179,167,122,117,240,232,232,231,194,196,200,205,209,212,214,238,221,182,136,176,115,72,72,143,96,128,230,185,159,141,119,71,194,244,231,233,195,197,200,205,210,213,215,238,216,179,132,154,129,89,76,181,134,185,219,197,161,120,97,73,201,244,231,233,195,198,202,206,211,214,219,238,219,192,165,131,127,112,52,168,195,230,212,184,152,109,86,87,229,237,236,235,196,200,204,208,212,213,221,240,221,197,177,148,110,91,107,220,229,235,207,173,139,103,77,107,244,237,240,239,196,201,204,206,210,213,220,236,220,197,181,175,137,127,147,222,230,227,189,153,122,95,70,164,248,236,239,238,195,199,203,207,211,214,216,226,220,206,189,182,150,128,126,212,234,210,167,134,110,83,95,233,238,237,238,237,195,200,203,208,212,215,217,219,218,208,189,186,161,132,135,204,228,191,155,122,100,67,150,247,234,237,237,237,197,201,204,209,212,215,218,219,221,212,191,183,164,135,140,188,205,168,141,111,91,70,200,240,236,237,238,238,198,202,204,210,212,213,217,220,223,211,188,178,157,127,142,181,166,147,123,100,79,112,240,234,238,238,239,239,199,202,204,209,213,214,218,220,224,198,177,164,134,118,151,164,139,134,107,92,71,192,244,235,239,239,239,240,198,201,205,207,213,217,213,219,224,186,175,151,129,132,158,158,136,124,105,76,136,242,236,238,239,239,240,241,203,207,210,214,218,224,211,231,226,191,183,152,136,151,169,142,130,102,87,86,216,241,235,237,238,238,239,239,154,162,170,178,183,184,195,235,228,199,197,153,146,166,155,126,113,90,63,158,250,240,243,245,248,248,248,246,92,95,97,97,101,88,152,231,206,198,196,157,149,162,146,112,93,79,70,123,149,150,158,157,162,171,174,187,106,108,106,104,107,89,164,228,192,180,175,149,141,158,144,95,86,72,77,98,98,100,99,110,133,151,152,168
24,144,144,144,145,145,146,145,145,145,144,144,144,144,142,140,139,138,137,136,135,133,131,131,129,127,125,124,121,147,147,147,148,148,148,147,147,147,147,147,147,146,145,144,143,141,140,138,141,138,135,134,132,131,129,126,124,150,151,151,152,151,151,151,149,150,151,151,151,149,147,147,146,145,144,141,110,132,141,137,136,134,131,129,126,152,152,153,153,153,153,153,154,153,153,153,153,152,150,149,148,148,146,148,79,95,149,137,138,135,134,132,129,155,156,155,155,156,158,160,154,154,154,154,154,153,153,152,151,149,150,155,80,88,151,140,140,138,137,134,132,159,159,158,159,162,135,138,162,157,158,158,157,156,155,154,153,151,154,155,77,92,155,144,144,142,140,138,136,160,160,161,161,161,113,73,157,162,162,162,161,160,159,157,157,153,161,152,70,107,157,145,146,144,141,139,139,162,162,162,162,161,125,65,116,173,161,164,164,162,160,160,159,154,168,148,70,122,158,147,147,146,144,142,140,165,165,164,164,168,144,84,82,175,162,164,165,163,162,161,161,163,168,125,62,140,157,151,150,148,147,144,142,167,167,167,166,169,158,105,57,162,168,165,166,169,167,164,156,159,171,104,57,157,155,154,154,151,149,146,144,168,168,168,167,169,166,133,60,126,179,167,168,144,145,167,135,80,114,99,83,168,155,157,155,152,151,149,146,169,169,170,170,170,171,146,78,79,180,170,153,126,104,118,113,77,56,65,112,170,158,159,157,154,153,151,149,172,172,173,173,172,176,151,103,55,159,170,147,142,116,106,95,120,87,25,137,170,160,160,159,156,155,153,150,174,174,174,174,174,176,161,136,77,112,153,143,151,113,117,116,123,82,36,158,166,163,161,161,159,155,155,152,175,176,176,175,174,175,170,155,92,69,107,116,168,118,80,83,109,103,42,142,173,165,163,162,160,158,156,154,176,176,177,176,177,178,178,158,125,108,92,91,148,124,48,23,129,124,54,88,181,164,166,163,162,161,157,154,178,178,178,178,179,180,179,163,166,122,74,50,126,102,44,18,107,144,100,41,149,171,166,165,165,163,160,157,180,180,180,180,180,180,181,168,159,99,72,54,120,90,35,56,158,159,129,42,99,181,164,166,165,163,160,159,181,182,182,182,183,182,183,175,157,131,121,72,114,114,56,134,171,150,110,37,105,180,165,166,165,163,161,160,181,183,184,184,184,185,186,179,161,157,131,81,98,87,114,183,156,134,95,25,133,180,167,168,167,164,162,161,182,183,184,184,184,183,186,181,153,167,142,112,73,93,173,178,152,121,86,34,155,178,169,169,167,167,165,162,182,183,182,183,183,185,186,182,157,153,144,128,83,102,174,165,143,115,71,42,168,173,169,168,167,166,163,162,183,183,183,185,185,186,185,187,157,144,142,139,104,92,164,164,133,102,52,54,179,171,170,168,167,164,161,159,185,185,186,186,186,187,186,190,163,145,146,142,129,88,151,161,124,85,29,91,187,171,172,170,168,164,165,168,184,185,186,185,185,186,186,189,178,153,151,141,141,77,118,140,94,59,13,136,183,171,172,169,169,177,156,116,191,192,194,193,194,196,195,196,193,157,156,142,126,86,85,109,77,36,32,175,178,175,177,181,167,128,55,17,118,122,127,133,136,140,143,147,150,162,153,132,118,107,77,102,82,19,95,184,170,170,154,108,56,18,11,11,70,71,72,72,70,70,70,65,80,165,159,145,140,117,93,103,68,25,66,82,78,67,42,14,13,18,10,9
1,207,209,210,210,211,211,211,211,212,211,211,211,211,210,210,212,199,179,203,201,202,200,197,195,195,193,190,188,212,213,214,215,216,215,216,216,217,215,215,216,215,216,203,200,211,122,198,216,204,204,201,199,198,196,194,191,217,219,219,219,221,220,221,222,220,221,219,221,218,227,208,136,209,118,132,170,211,207,206,203,204,201,198,195,223,223,224,224,225,225,224,225,224,224,225,224,221,236,197,129,208,103,82,108,189,217,209,206,205,204,202,198,226,227,227,227,230,229,229,229,229,229,229,232,230,241,167,134,205,84,123,130,160,227,211,211,210,208,205,202,231,231,233,232,231,232,233,232,231,230,235,206,209,244,141,153,210,92,152,136,140,231,214,215,214,211,208,206,236,236,237,237,237,238,238,237,235,234,239,191,146,246,140,177,196,87,163,140,139,234,219,220,216,213,212,209,240,240,240,242,241,240,241,240,241,239,243,174,142,230,127,197,163,89,190,153,140,238,223,224,220,217,216,213,242,244,243,245,243,242,242,242,242,242,245,142,163,199,125,213,159,123,220,140,140,241,226,226,223,221,218,216,247,247,247,247,247,246,246,246,246,247,245,132,173,203,138,221,166,132,219,129,144,245,228,229,226,223,222,220,248,249,249,249,249,251,250,249,248,251,233,115,179,215,126,216,161,111,213,147,159,248,230,231,229,227,224,222,252,250,251,252,252,252,251,252,249,255,221,105,192,196,97,198,126,110,226,142,162,251,233,233,233,231,228,224,254,254,254,254,254,255,255,255,254,255,227,110,183,177,110,206,122,129,219,131,159,254,236,239,236,234,231,228,255,255,255,255,255,255,255,255,255,255,203,117,194,184,184,210,176,135,165,134,165,255,240,242,238,235,233,231,255,255,255,255,255,255,255,255,255,253,203,200,182,152,170,173,180,159,137,125,129,250,242,242,241,238,235,233,255,255,255,255,255,255,255,255,255,252,227,185,143,133,149,175,181,152,136,144,104,225,252,242,242,241,237,235,255,255,255,255,255,255,255,255,255,255,207,147,128,132,153,197,186,166,207,195,111,186,255,246,246,243,241,238,255,255,255,255,255,255,255,255,255,249,199,135,134,147,166,205,216,215,187,211,149,149,255,247,247,243,241,240,255,255,255,255,255,255,255,255,253,244,211,142,118,152,187,217,231,246,173,208,180,115,248,252,248,246,244,241,255,255,255,255,255,255,255,255,248,243,224,158,109,153,195,220,228,232,209,185,137,92,245,254,250,249,247,243,255,255,255,255,255,255,255,255,245,240,230,176,128,132,196,236,236,229,190,172,98,121,255,252,251,250,249,246,255,255,255,255,255,255,255,255,246,223,220,178,140,129,210,252,245,228,178,139,80,199,255,253,253,252,251,249,255,255,255,255,255,255,255,255,255,215,207,182,150,143,221,243,221,199,156,108,97,255,255,255,255,252,251,250,255,255,255,255,255,255,255,255,255,223,211,190,163,157,221,230,209,172,136,76,159,255,255,255,255,253,250,249,255,255,255,255,255,255,255,255,255,229,210,204,174,156,206,210,189,147,101,73,241,255,255,255,254,251,249,246,255,255,255,255,255,255,255,255,255,238,215,203,176,155,181,173,142,107,52,173,255,255,255,255,255,250,246,246,255,255,255,255,255,255,255,255,255,237,222,203,178,160,162,149,107,59,161,255,255,255,255,255,255,255,255,246,255,255,255,255,255,255,255,255,251,228,232,209,201,176,148,128,68,109,255,255,255,255,255,255,255,239,197,128
15,99,103,107,110,82,72,74,77,65,27,80,88,25,0,23,42,43,49,53,57,63,77,87,92,98,102,106,110,100,104,107,109,80,76,76,82,58,33,84,89,15,0,29,41,44,48,53,59,64,78,87,91,99,103,107,110,101,105,109,108,80,80,78,86,49,42,87,84,4,0,33,41,45,49,54,59,65,80,87,91,99,103,107,111,103,106,110,104,78,77,77,89,41,52,90,82,0,0,35,40,44,50,54,59,67,80,86,92,99,103,108,112,105,108,111,104,102,92,82,82,42,60,89,74,0,0,38,40,46,49,55,60,68,82,87,94,101,105,109,112,104,109,112,106,97,99,97,91,84,80,83,68,22,21,42,42,44,48,55,59,69,83,89,95,101,105,109,112,106,110,114,99,78,74,63,77,83,85,87,92,92,82,78,73,67,63,59,59,72,87,89,96,102,105,110,114,107,111,115,96,83,79,56,54,62,56,68,94,87,87,85,88,96,96,78,65,64,69,90,96,103,106,111,115,108,112,116,95,86,87,91,71,35,61,50,74,78,73,69,75,96,110,99,77,70,42,63,100,102,107,110,115,109,112,114,93,86,86,95,66,35,97,90,34,43,70,57,78,106,109,99,91,86,59,39,85,106,108,111,115,110,114,116,90,88,88,98,57,40,97,101,10,0,35,63,116,106,109,112,109,101,80,54,48,104,109,112,115,110,115,116,90,91,87,101,59,52,97,97,0,0,41,80,127,80,107,118,122,119,89,61,39,66,114,112,116,112,116,111,92,93,100,92,76,82,79,80,7,44,105,94,65,70,110,120,127,117,88,65,53,35,92,117,115,113,118,110,91,97,104,84,89,102,99,76,59,76,77,68,34,61,136,113,100,102,89,76,58,39,48,116,116,114,119,107,91,100,88,61,75,100,103,75,62,74,71,72,78,92,94,74,76,90,91,73,56,48,29,80,124,114,119,106,94,100,99,75,56,87,88,64,68,79,76,81,92,93,72,53,59,76,75,64,52,48,37,37,107,115,120,104,99,100,101,95,36,90,63,49,63,71,74,81,91,83,62,50,51,60,62,62,60,52,45,32,50,115,120,104,101,101,106,82,38,109,49,27,37,52,56,71,82,80,62,51,53,57,56,62,65,56,51,42,31,116,120,103,102,101,109,74,68,71,34,25,9,59,70,47,67,67,59,57,59,58,59,62,63,56,50,45,37,117,118,102,104,102,106,103,58,32,27,17,0,108,114,43,60,62,57,60,67,68,66,64,59,56,53,46,40,117,118,103,106,101,113,95,37,19,46,8,0,74,116,68,63,90,82,88,89,80,70,64,56,54,57,53,42,119,116,101,108,105,111,56,25,52,103,2,0,31,80,93,51,61,92,88,85,79,67,59,53,53,55,57,50,121,114,101,111,106,119,41,66,117,103,0,0,39,43,61,45,30,67,82,72,70,61,57,56,57,59,58,55,121,115,105,113,111,121,37,93,123,99,0,0,42,47,43,46,49,63,95,70,59,59,56,59,64,63,56,53,121,112,108,114,114,119,32,98,127,92,0,0,45,45,46,48,53,52,82,106,77,50,51,51,57,64,64,56,119,110,111,115,116,112,32,107,127,79,0,4,45,43,44,47,51,55,55,100,121,88,65,49,52,64,74,62,119,111,114,117,120,103,38,115,130,66,0,11,47,43,43,45,51,54,59,74,114,89,72,81,79,84,77,68,121,114,117,117,124,94,40,119,132,53,0,15,47,41,44,46,50,54,60,73,82,78,90,100,91,94,92,86
6,212,214,216,216,217,216,218,218,216,217,217,215,214,214,214,214,213,212,210,209,208,207,207,207,206,204,201,200,214,215,216,219,219,219,219,219,219,218,219,218,217,214,214,214,213,212,211,211,211,211,210,207,207,205,203,201,214,216,218,220,221,221,221,221,220,219,219,219,218,217,215,216,215,213,212,212,212,211,209,208,207,206,205,203,215,217,220,220,221,223,222,222,223,222,221,221,219,219,217,216,217,216,214,213,213,212,211,210,209,207,206,205,217,219,220,222,223,224,224,223,225,223,222,222,222,220,219,219,220,218,215,211,211,210,211,207,206,204,199,203,218,220,221,224,225,225,226,225,225,225,226,225,223,219,213,209,205,205,202,181,185,198,197,182,194,187,204,230,220,221,223,225,226,226,225,226,225,224,213,204,207,208,202,205,206,207,197,193,186,206,204,189,196,192,196,218,220,222,224,226,226,227,226,225,229,229,204,187,197,208,211,215,216,214,198,180,181,176,177,164,157,157,149,157,221,223,225,226,227,228,228,224,239,237,212,200,190,190,191,186,183,175,167,156,132,132,120,138,167,172,190,203,223,224,226,227,228,228,229,227,248,241,227,211,193,181,177,169,163,153,139,119,95,83,97,204,222,218,216,212,225,225,227,227,229,231,227,238,252,246,236,204,173,169,175,182,179,173,162,155,152,112,180,225,213,214,212,211,225,226,228,228,230,232,227,248,255,251,226,175,155,164,168,179,182,178,169,160,162,125,188,225,217,216,214,212,225,228,231,230,232,230,230,255,250,247,197,162,169,164,154,160,176,163,157,157,144,110,196,224,218,216,214,213,226,228,231,231,233,225,240,255,248,247,217,202,183,167,145,153,179,169,166,167,142,136,226,221,219,218,216,214,227,229,231,232,231,230,251,250,250,252,249,233,190,165,175,181,179,170,159,147,147,131,206,225,219,219,216,215,228,231,231,234,226,241,252,251,252,247,247,236,181,155,164,168,170,163,148,141,139,113,205,225,220,219,218,215,227,230,231,230,227,246,251,253,247,242,239,220,180,160,153,145,151,157,154,147,122,144,227,222,221,221,218,214,226,227,231,218,234,248,250,250,241,236,230,226,209,189,152,122,138,157,151,148,116,185,230,219,221,219,214,217,226,231,223,213,246,249,249,244,243,243,234,229,236,214,164,141,159,174,160,141,128,136,225,221,219,218,224,205,228,233,213,229,246,248,246,244,248,240,229,238,236,199,151,140,149,146,137,127,111,132,225,224,228,221,169,106,230,220,222,241,243,243,240,236,231,227,228,234,215,175,146,144,139,129,120,115,123,206,233,215,169,116,77,71,226,214,234,238,242,235,227,223,216,220,217,201,179,155,144,131,121,161,172,190,212,194,148,101,72,69,70,69,215,222,237,237,238,227,216,213,211,208,204,181,161,150,154,140,167,199,170,148,112,83,59,53,62,68,64,63,205,234,234,234,224,214,202,198,207,200,190,179,169,152,128,101,95,74,63,60,62,70,46,51,56,61,60,61,219,237,234,230,220,211,197,190,190,182,170,161,141,114,86,67,55,61,60,64,68,60,38,46,51,57,59,57,233,235,232,224,214,196,178,176,167,149,138,123,100,75,66,74,53,50,54,59,64,55,34,42,48,56,57,54,237,234,230,227,201,168,166,162,153,138,108,85,70,60,60,71,58,43,55,56,58,50,32,40,49,57,54,54,236,233,228,220,172,161,180,167,144,121,78,67,59,56,55,65,59,47,55,46,55,44,32,41,49,56,51,51
12,152,157,161,162,166,169,170,171,172,174,174,175,178,180,179,179,179,179,179,179,179,179,177,176,175,175,175,173,155,158,161,163,167,169,171,173,173,174,175,177,179,180,180,180,181,180,180,180,179,178,178,178,177,176,176,174,156,159,163,165,167,169,171,173,175,177,178,179,179,180,178,180,182,182,180,180,180,180,180,179,179,177,177,177,156,159,163,166,168,171,172,175,177,178,178,181,178,175,201,179,155,169,183,182,182,180,181,180,180,179,179,177,157,161,165,168,169,171,174,177,178,177,194,218,196,157,195,203,149,121,181,182,182,183,181,181,181,179,179,178,158,162,165,168,170,173,177,179,180,177,221,241,216,173,135,193,172,114,163,199,164,162,183,183,181,180,179,179,159,162,165,169,171,174,177,179,180,176,220,226,226,196,168,134,165,144,138,206,157,117,159,185,182,181,181,180,160,163,167,170,173,175,177,179,179,177,213,190,180,204,168,105,147,154,102,148,156,106,117,186,184,182,181,181,160,164,168,171,173,176,178,176,191,210,170,149,164,182,167,144,162,129,81,107,134,103,102,184,185,182,181,182,161,165,169,172,174,177,175,191,239,210,151,109,135,188,193,190,173,142,116,161,122,97,103,184,186,183,182,184,161,166,170,172,174,177,175,229,228,198,159,110,82,160,177,175,186,197,182,171,115,88,114,190,187,185,185,185,162,166,170,173,176,175,198,223,209,210,169,118,60,94,122,156,186,218,206,167,110,74,141,191,187,186,186,185,164,167,171,173,177,174,223,214,200,214,178,132,71,71,73,103,177,204,211,184,150,99,167,191,187,186,186,185,163,168,171,175,174,199,224,201,182,219,201,153,79,77,84,136,202,197,187,162,162,128,138,192,187,187,187,186,161,166,171,173,171,226,229,199,158,177,214,167,98,77,155,211,207,190,180,146,140,127,119,190,188,187,188,187,162,167,170,171,172,234,232,200,156,135,180,202,137,150,226,207,197,184,170,141,121,108,134,192,189,187,187,187,164,168,172,173,179,242,234,202,183,178,145,153,163,229,234,208,192,183,158,138,110,98,159,193,190,188,187,187,164,168,172,173,181,242,231,210,207,195,167,166,220,238,234,212,180,167,145,134,107,102,180,192,191,190,188,187,164,169,172,173,180,238,234,223,214,199,181,174,224,236,222,202,170,150,140,127,102,121,193,192,191,190,188,188,163,168,170,174,177,232,239,229,214,196,183,177,218,227,209,185,156,144,142,116,95,159,196,192,192,192,189,187,162,166,170,174,171,215,235,223,210,199,188,184,208,213,192,167,150,147,138,105,116,190,193,192,191,190,188,187,162,167,171,175,174,199,228,211,201,196,188,184,200,207,184,160,146,141,124,100,165,195,193,192,192,190,190,189,138,140,142,143,140,171,224,196,193,192,182,169,188,205,180,151,134,127,111,103,140,142,140,139,139,138,138,139,101,100,99,100,94,135,225,191,192,194,181,166,179,198,164,129,119,115,103,95,92,92,91,90,90,89,89,90,108,107,107,107,103,137,231,197,203,199,182,168,172,193,150,121,111,106,101,102,99,99,98,97,97,95,95,95,108,107,108,109,104,137,235,210,216,208,187,169,162,187,149,122,104,100,101,103,102,99,98,97,98,96,96,95,109,107,108,110,105,130,232,219,224,208,186,164,154,180,150,120,102,98,101,102,102,100,99,99,98,99,97,95,108,109,109,109,107,120,224,220,219,197,179,165,150,170,145,114,100,97,101,101,100,99,98,99,100,97,95,103
20,173,176,180,185,188,188,190,193,194,196,197,198,198,198,199,200,200,199,199,199,198,198,198,198,198,196,195,193,175,179,183,186,189,190,193,194,196,198,199,199,201,201,201,200,201,203,202,202,200,199,199,200,199,198,198,195,177,180,184,187,190,192,195,196,198,200,200,201,204,205,200,221,196,184,206,205,204,203,203,203,201,200,199,198,179,182,186,190,192,195,197,198,200,201,203,204,205,206,199,237,192,164,196,181,210,205,205,205,204,203,201,200,181,184,187,192,194,197,200,200,201,203,205,206,207,209,202,236,190,187,214,150,209,207,206,206,206,205,204,202,183,186,189,193,196,198,201,202,204,205,207,207,207,210,204,242,205,189,231,151,203,211,208,208,208,207,206,205,184,188,191,195,197,200,202,205,206,208,208,208,211,211,207,249,205,192,243,163,198,214,211,211,211,209,208,207,186,189,192,196,199,201,204,206,207,209,210,211,209,210,217,247,193,206,242,164,193,219,213,213,212,210,209,208,188,191,194,198,200,203,206,208,210,211,212,212,231,223,200,249,193,216,238,156,192,220,213,214,214,212,212,211,189,193,197,200,203,205,207,210,211,212,210,220,255,239,170,174,178,214,234,155,198,221,216,215,216,214,213,212,191,195,198,201,205,207,210,212,211,216,250,242,190,211,197,161,150,183,208,158,205,222,218,217,217,215,214,213,193,196,199,202,206,209,212,214,210,233,244,237,221,197,223,231,192,141,167,151,209,223,219,218,218,217,215,214,194,197,201,204,207,211,212,215,212,237,219,159,194,142,182,240,205,144,133,137,211,223,221,220,220,219,218,217,195,198,202,205,209,212,213,217,213,240,210,153,143,121,120,212,236,177,129,128,211,226,223,222,221,221,220,218,196,199,203,206,210,212,214,218,214,242,233,204,167,142,138,172,255,210,142,121,213,229,224,223,223,222,222,219,197,200,204,208,210,213,216,219,216,251,245,190,157,149,164,173,255,235,168,118,205,231,225,225,224,224,223,221,198,201,206,210,212,215,218,220,217,252,233,184,164,168,174,210,255,239,188,127,199,233,225,226,225,225,224,223,199,202,206,210,212,215,219,222,220,253,242,201,182,183,192,247,255,230,192,132,199,235,228,229,227,226,226,224,199,204,207,210,214,216,220,224,221,253,250,215,185,198,214,255,255,222,185,136,200,238,229,230,228,228,227,226,199,203,207,211,214,217,221,225,221,251,255,225,197,202,235,255,249,217,181,134,202,238,229,230,229,228,228,228,200,204,208,211,213,217,221,225,220,249,255,227,215,205,246,255,236,213,173,129,198,238,229,230,229,228,228,227,203,207,211,212,215,219,222,226,224,243,255,235,232,217,240,255,228,206,172,121,197,239,230,231,230,229,230,226,203,206,209,212,217,220,223,226,226,234,255,243,239,230,220,239,211,200,163,117,201,241,231,232,232,229,231,234,203,206,210,214,217,219,222,226,227,226,255,253,238,219,202,217,194,199,159,119,218,238,232,234,232,237,231,194,206,209,212,217,219,222,224,228,236,235,255,252,226,194,179,199,191,194,145,133,239,235,233,232,240,218,152,118,196,201,206,210,215,219,224,222,186,161,238,242,203,178,169,203,190,182,118,181,254,239,240,245,216,139,119,112,148,149,152,153,155,157,159,166,106,41,197,249,210,177,177,217,174,155,101,119,183,187,189,191,138,111,110,99,124,129,132,133,131,129,131,144,151,98,143,231,206,178,193,217,147,128,81,54,110,131,132,140,120,96,92,95
14,132,136,140,142,143,145,147,149,150,152,151,153,153,152,152,153,152,151,151,151,150,149,148,147,146,145,144,143,134,138,141,144,145,148,149,150,152,154,154,155,155,154,154,153,155,156,155,151,150,151,151,149,147,147,146,145,135,140,143,145,148,149,150,153,154,156,156,155,156,156,156,156,136,140,153,154,154,151,150,150,149,148,148,147,136,142,145,147,149,151,153,155,155,155,156,157,157,156,155,143,135,122,127,120,142,160,150,149,150,149,149,149,138,143,147,148,150,153,155,156,157,158,159,159,157,169,169,160,151,135,108,90,86,114,154,156,150,150,150,150,139,143,148,150,152,154,156,158,158,160,161,157,166,186,157,133,168,143,111,71,56,56,73,138,159,150,151,150,140,144,149,152,153,155,156,158,160,161,161,168,182,181,137,60,109,98,132,93,40,63,38,43,134,158,150,152,141,145,150,153,154,158,158,160,162,162,163,180,164,125,94,55,42,60,139,120,62,61,63,40,51,156,155,154,142,147,150,154,156,157,159,162,163,168,177,189,144,84,52,37,35,35,103,134,86,65,82,67,45,110,164,153,143,147,152,154,158,159,162,164,163,176,191,188,153,110,72,53,45,36,42,93,103,65,73,62,69,63,149,158,144,148,152,155,158,160,163,164,167,183,194,177,133,99,70,50,50,43,95,146,164,142,94,67,68,50,104,164,145,150,153,156,159,162,164,163,173,194,190,146,93,61,52,45,36,75,175,169,164,170,170,106,69,73,95,164,147,152,155,157,161,162,166,160,181,194,178,156,113,64,45,30,57,167,174,164,167,166,163,97,106,69,100,169,148,153,156,159,162,164,165,166,194,187,167,159,116,79,48,24,32,71,143,174,164,176,136,95,109,63,74,170,149,155,157,160,163,168,160,184,198,179,165,160,110,83,40,29,35,35,51,147,181,146,79,93,101,67,45,141,151,155,159,161,164,165,168,198,187,167,172,155,113,86,38,33,46,54,54,64,98,71,83,100,87,65,39,129,150,155,161,163,167,162,184,199,184,172,172,148,116,80,39,47,66,67,67,63,51,69,86,98,85,47,98,168,152,156,161,164,166,167,199,197,186,170,160,146,112,68,44,62,78,79,77,76,68,69,89,81,57,106,171,166,154,157,161,165,164,178,203,192,178,162,150,140,100,69,53,74,82,84,81,75,73,69,70,57,124,175,168,167,155,158,162,166,164,193,201,185,169,156,141,126,93,72,64,76,87,82,80,68,73,54,49,138,181,167,169,169,156,160,163,166,168,201,195,179,165,148,132,119,92,77,65,75,88,78,73,65,53,82,151,180,171,172,170,169,157,161,165,166,176,207,191,173,158,143,125,109,99,74,65,71,78,76,66,50,125,181,179,173,174,173,171,170,158,161,166,165,192,204,185,161,136,130,121,109,82,65,67,66,70,57,52,132,187,176,174,175,174,173,173,171,158,162,163,178,204,193,175,146,144,135,105,82,62,67,70,52,61,92,155,186,176,178,177,176,175,174,174,173,160,167,160,180,197,184,172,152,142,113,98,79,66,65,54,101,165,186,186,179,181,179,177,176,175,175,174,173,153,157,147,182,193,184,167,151,127,95,90,73,66,45,103,197,188,183,182,181,181,179,179,178,176,176,175,174,56,13,87,197,187,178,161,141,110,85,81,69,55,59,169,186,183,185,183,182,181,180,180,179,178,177,176,174,46,16,67,172,185,170,157,131,95,77,71,63,39,121,191,183,184,184,183,182,182,181,181,180,178,177,176,174
24,196,200,201,205,209,212,212,213,215,216,217,218,218,219,219,219,219,219,218,218,217,217,218,216,216,214,212,211,199,203,205,209,211,215,216,216,218,219,219,220,221,222,221,221,223,223,222,221,221,220,220,218,219,217,215,214,201,204,208,211,214,217,218,219,221,223,223,224,225,224,223,224,225,226,226,226,223,222,223,222,220,219,216,216,203,206,209,211,215,217,219,222,224,226,227,227,227,227,227,228,229,227,227,227,225,225,226,225,223,223,221,220,204,207,210,214,215,218,224,225,227,229,228,229,228,229,230,231,232,231,232,230,229,230,229,228,228,226,225,222,207,210,214,218,220,227,222,227,228,229,230,230,232,233,233,234,234,236,236,233,229,232,231,230,230,229,227,225,209,212,219,215,244,255,185,228,231,233,232,234,236,236,234,235,236,233,235,237,234,234,234,234,232,230,230,228,213,216,221,220,241,255,182,207,239,236,235,233,239,236,235,239,239,255,255,212,236,237,236,237,235,235,234,230,214,218,222,228,224,255,223,183,240,239,235,248,233,242,255,235,208,255,255,191,185,246,236,236,238,237,236,234,215,219,224,229,226,247,255,213,208,241,252,255,242,243,255,255,185,255,255,208,141,234,242,239,240,238,237,237,217,222,226,229,233,230,255,255,184,222,255,255,255,230,255,255,200,236,255,212,130,218,250,243,242,242,242,217,220,224,228,232,236,233,252,255,249,224,255,255,255,229,255,255,201,202,255,194,118,211,253,246,242,253,231,168,222,226,230,235,236,240,237,255,255,255,255,255,255,243,216,255,216,159,226,174,109,182,255,245,226,237,196,148,225,230,233,236,239,243,241,249,255,255,255,255,255,235,178,250,228,134,170,185,108,119,231,216,229,222,148,192,227,230,234,238,240,243,247,242,255,255,255,255,255,225,171,195,211,142,165,204,125,171,196,232,233,157,174,252,228,233,236,239,243,244,247,245,255,255,252,222,220,248,224,159,228,173,142,213,235,255,248,226,185,154,243,251,230,236,239,242,243,246,249,250,255,255,255,235,227,243,235,201,226,188,193,255,255,255,231,188,143,199,255,248,232,237,240,243,246,250,253,254,254,255,255,255,227,231,255,255,252,254,255,255,255,252,218,168,156,245,255,253,233,237,242,245,247,250,253,255,250,255,255,255,243,229,255,255,255,255,255,255,255,237,203,148,197,255,255,255,235,240,244,246,250,252,254,255,251,255,255,255,255,247,251,255,255,255,255,255,255,225,171,149,247,255,255,255,236,242,244,245,251,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,216,150,193,255,255,255,255,238,242,244,249,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,233,199,158,254,255,255,255,255,239,244,248,252,253,255,255,255,255,255,255,255,255,255,244,255,255,255,249,224,190,142,210,255,255,255,255,255,239,246,248,252,255,255,255,255,255,255,255,255,255,243,221,227,236,243,222,189,135,152,255,255,255,255,255,255,239,244,247,252,254,255,255,207,186,191,203,252,230,225,231,238,255,241,211,171,110,231,255,255,255,255,255,255,240,245,249,252,253,255,255,172,139,142,116,110,109,118,114,120,115,104,104,99,86,151,211,255,255,255,255,255,240,246,251,254,255,255,255,192,143,148,122,104,94,77,66,55,44,42,39,38,45,19,111,255,255,255,255,255,243,247,251,254,255,255,255,206,144,142,120,101,93,82,72,61,52,49,47,44,44,34,221,255,255,255,255,255
6,236,239,241,244,244,243,244,244,245,246,247,247,247,247,247,247,247,246,245,242,242,240,240,238,235,234,232,232,240,241,241,245,245,246,246,246,246,248,250,249,249,248,248,249,248,248,247,245,243,244,242,240,239,237,236,236,241,241,244,245,247,248,248,248,249,249,249,248,247,250,252,252,250,249,249,248,247,247,244,243,242,239,239,238,243,244,247,247,249,251,251,249,248,249,250,250,250,251,251,251,250,250,249,248,248,247,246,245,243,242,241,239,247,247,248,249,251,251,251,252,252,251,252,252,253,254,254,254,254,254,253,252,250,249,246,247,245,243,241,238,248,249,250,251,253,252,254,254,255,255,255,255,254,254,255,255,255,255,255,254,251,251,250,248,248,247,245,244,248,250,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,250,248,247,246,244,246,250,253,254,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,254,252,250,249,248,248,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,253,252,249,248,245,246,255,255,255,255,255,255,255,255,255,255,255,255,250,227,241,254,255,251,252,252,252,243,245,243,240,247,229,255,254,255,255,255,255,255,255,255,255,255,255,255,246,217,182,227,248,253,253,252,234,239,237,236,236,238,224,237,255,255,255,255,255,255,255,255,247,247,253,253,255,244,163,153,172,187,189,192,195,188,187,192,192,194,197,202,255,255,255,250,248,248,248,243,235,237,234,226,222,198,163,148,128,129,184,200,215,222,231,241,249,248,250,255,255,255,255,247,241,234,226,225,229,225,217,214,218,188,148,148,159,152,204,255,255,255,255,255,255,255,255,254,255,255,255,246,232,222,221,222,223,223,224,234,254,227,153,125,141,167,145,174,255,255,255,255,255,255,244,170,255,255,251,243,229,216,208,207,215,224,234,236,232,214,170,150,143,146,160,145,173,255,255,255,255,255,171,136,255,252,249,249,234,221,211,206,210,214,224,243,221,180,171,173,168,155,143,147,151,255,255,255,255,247,146,145,255,247,247,245,235,227,219,213,214,210,209,226,236,190,139,146,182,183,164,130,185,255,255,255,242,154,133,113,246,242,240,237,236,233,224,216,217,217,219,237,229,184,153,134,147,174,184,151,180,255,221,206,156,119,115,95,168,185,209,233,241,242,235,225,221,216,216,232,229,188,162,171,162,144,154,163,155,163,138,126,116,106,93,86,67,73,101,167,245,242,237,230,226,220,212,204,208,191,189,191,179,166,155,130,123,124,137,130,116,103,85,78,63,53,47,52,146,234,212,198,193,188,187,170,166,149,150,180,185,185,165,122,82,98,118,109,104,101,95,81,53,47,47,49,39,113,210,213,221,228,238,253,164,108,114,137,174,164,146,129,87,75,101,100,94,95,102,87,45,39,36,36,31,189,255,255,255,255,255,255,247,190,183,170,166,106,133,127,83,66,73,93,88,86,97,95,40,33,30,16,65,173,158,162,163,165,169,172,179,183,183,180,148,84,123,125,78,58,63,78,80,82,91,95,34,29,27,20,56,143,137,137,138,137,140,142,137,133,159,166,129,71,117,114,72,53,66,68,73,75,83,88,36,33,36,14,59,161,150,151,151,151,146,148,152,160,142,128,114,72,105,102,69,49,57,67,67,69,75,82,44,42,33,3,92,162,149,150,153,154,149,149,150,134,115,98,97,80,92,97,65,51,52,61,60,65,69,77
2,228,229,228,229,229,228,230,230,229,230,231,230,229,229,228,228,229,226,228,228,226,226,226,226,224,223,223,221,231,231,231,231,231,231,232,232,231,233,233,231,232,232,233,234,232,233,228,227,225,227,227,226,225,224,223,223,233,232,233,233,233,233,234,233,234,234,234,234,229,224,213,210,188,203,243,234,230,228,227,226,226,225,224,225,234,234,234,235,236,235,234,233,235,235,232,219,192,166,144,125,116,149,213,201,225,231,229,229,229,227,225,226,237,236,236,237,237,237,235,236,231,229,210,168,133,119,115,95,94,105,140,120,218,235,231,231,231,230,230,229,238,238,239,237,238,238,238,231,221,200,156,117,96,90,86,88,93,108,114,118,216,236,232,232,233,231,229,230,238,239,238,238,239,238,237,223,217,155,102,88,82,85,94,83,84,93,107,113,127,238,233,232,232,232,230,232,239,239,238,237,238,240,234,227,194,130,84,74,85,89,88,83,97,110,113,118,184,242,233,235,234,236,234,233,240,240,240,239,240,241,231,226,165,106,79,88,87,75,93,107,96,98,138,215,242,235,237,237,232,218,228,235,241,240,241,240,242,240,231,219,162,110,84,96,80,93,103,91,127,211,238,243,237,238,240,234,213,172,186,243,241,241,242,242,246,235,235,215,161,114,94,81,87,112,106,171,237,247,239,238,239,241,237,210,209,141,195,245,243,243,243,245,236,222,242,210,156,111,97,76,102,97,158,255,240,240,241,240,240,243,221,202,187,133,234,239,246,245,243,248,224,211,244,211,168,120,91,82,99,95,220,248,241,243,243,242,242,243,206,209,147,150,250,235,246,246,245,251,221,207,248,216,183,129,89,90,88,147,255,241,245,245,243,244,245,226,198,198,136,162,251,237,247,246,247,252,218,221,255,221,190,145,97,93,80,190,255,248,251,251,247,248,227,206,210,196,121,160,254,239,246,246,247,255,219,231,255,223,194,156,103,91,84,184,250,222,215,226,239,231,205,213,208,161,117,222,244,241,247,248,248,253,217,236,255,220,195,168,111,87,98,116,148,159,167,172,180,170,195,202,169,120,211,248,240,243,249,249,250,253,216,236,255,222,201,172,118,90,103,129,162,183,184,163,161,152,162,163,114,201,253,241,245,243,248,250,249,253,213,237,252,229,207,172,122,108,114,158,174,191,178,159,140,136,137,107,180,255,241,246,246,245,250,250,251,249,217,237,249,232,204,171,133,121,112,158,166,178,173,152,132,129,99,147,255,245,246,246,245,245,252,251,254,248,223,240,245,234,201,167,141,131,113,144,157,160,160,143,129,103,124,239,252,247,248,247,247,246,252,252,254,246,231,244,242,240,203,162,143,130,112,141,141,142,139,127,106,160,241,254,248,248,248,247,247,246,254,253,255,243,237,247,238,233,191,146,132,121,110,136,127,133,116,112,200,255,253,250,248,248,248,247,247,246,253,252,255,239,239,247,234,222,177,130,122,116,115,130,118,110,120,218,255,249,251,251,249,250,249,248,248,247,252,252,254,240,232,237,233,227,188,125,126,126,122,123,94,141,238,255,252,253,253,252,250,251,249,248,248,247,252,253,252,240,235,228,233,239,206,122,132,133,130,98,139,254,252,250,253,252,251,251,250,250,248,246,246,246,252,254,247,241,249,236,240,240,213,126,135,139,126,129,246,255,252,253,253,253,251,251,250,250,248,247,246,246,253,255,244,244,248,246,241,236,210,134,128,135,116,197,255,251,255,254,255,254,251,252,252,251,249,249,247,246
15,47,80,87,100,109,116,125,133,144,148,151,156,159,162,165,167,170,172,174,176,178,180,181,181,183,185,187,189,49,82,87,102,110,118,125,134,144,147,153,157,161,164,166,168,172,173,175,177,179,181,181,182,184,187,188,190,52,83,91,103,111,119,125,136,146,148,153,158,161,164,167,170,172,173,176,178,180,181,182,185,186,188,190,190,57,85,92,105,113,116,125,137,147,148,153,157,161,164,168,171,172,173,176,179,179,181,184,185,187,188,189,191,64,87,93,104,111,137,134,135,146,151,154,158,160,165,169,171,173,174,176,179,180,183,185,186,188,189,189,192,68,87,97,104,118,180,148,131,125,139,155,161,162,165,169,172,173,175,178,179,181,184,185,187,189,189,190,193,74,87,97,107,116,155,155,144,132,121,127,146,162,170,170,171,173,177,179,179,182,185,186,188,188,188,190,192,78,87,97,109,115,123,138,138,136,130,133,131,131,143,167,176,174,176,179,180,182,185,187,189,188,189,191,193,79,88,99,107,116,123,129,137,127,131,139,144,139,128,123,149,173,179,180,179,181,185,187,189,190,191,193,195,82,90,100,108,116,125,132,143,142,142,141,141,141,138,127,124,128,156,180,184,183,185,188,189,190,191,194,196,85,92,102,110,117,124,131,142,148,152,154,142,128,131,142,142,131,122,130,159,182,189,186,188,189,192,194,196,84,92,103,111,118,125,134,145,148,152,158,160,149,139,124,125,131,126,124,130,130,159,190,189,191,193,195,197,85,92,103,112,118,125,136,146,147,154,169,137,124,143,139,110,102,116,137,141,143,119,143,194,190,194,195,196,85,93,105,113,119,125,135,146,146,162,168,141,114,111,136,136,128,138,139,148,154,137,104,153,201,193,196,197,87,94,106,113,120,126,137,147,146,158,146,132,133,136,144,125,135,141,130,143,150,141,131,110,185,197,195,198,88,95,106,113,121,126,137,145,148,153,157,136,146,167,157,131,106,108,94,135,157,140,153,119,131,202,194,197,88,98,106,113,120,127,137,145,149,148,181,152,137,164,153,135,131,120,104,117,125,135,143,132,99,174,201,195,89,98,106,112,121,126,136,147,146,162,174,134,105,111,141,150,148,145,132,117,114,113,121,129,110,123,203,196,88,98,106,113,121,126,138,147,144,173,151,111,101,61,68,117,158,160,153,144,138,114,101,113,116,94,176,204,89,99,108,114,121,128,140,143,151,179,131,93,90,73,60,50,98,163,166,161,152,123,101,108,112,95,127,207,90,100,108,115,122,129,141,139,162,166,106,93,124,111,93,68,39,123,170,162,151,129,116,111,110,106,95,180,91,99,107,114,123,131,140,149,167,129,87,143,154,128,125,111,56,79,173,161,153,143,136,124,114,111,99,123,92,101,108,116,123,130,139,155,132,100,117,174,163,135,135,131,112,89,161,168,163,155,149,136,121,112,109,100,93,102,109,116,121,130,142,145,132,134,157,157,156,146,127,128,127,118,142,167,166,162,153,141,130,120,114,110,93,102,108,116,122,131,141,144,152,158,159,163,156,138,114,111,106,131,136,149,163,159,152,143,134,124,119,114,94,102,108,116,121,132,142,145,149,155,158,162,169,170,161,150,133,132,145,123,142,150,147,143,136,128,118,116,93,102,107,113,120,131,142,145,149,155,158,162,167,170,175,177,177,178,164,144,137,151,146,142,139,132,121,117,93,102,106,112,119,130,140,142,148,154,158,162,167,170,172,174,178,189,190,179,166,164,149,136,136,138,132,125
8,188,188,188,188,189,189,188,189,190,190,190,188,188,188,188,188,187,187,188,187,186,186,184,183,184,186,170,78,188,189,191,191,191,190,190,191,191,190,188,191,189,190,191,190,189,189,189,189,188,188,186,186,187,185,184,136,191,193,193,192,192,193,191,192,194,196,146,182,196,193,194,193,193,192,191,191,191,189,187,186,187,186,187,114,192,194,194,193,194,193,194,192,198,197,121,177,199,194,194,194,194,193,193,192,192,190,190,189,188,189,181,129,193,194,195,194,194,194,196,192,207,179,107,189,198,196,195,196,196,195,195,194,193,192,193,191,191,190,186,161,195,195,196,197,196,195,196,194,217,162,106,202,198,197,197,199,197,195,196,196,194,193,193,193,192,191,188,189,195,196,198,198,198,199,196,199,221,153,121,206,198,199,200,200,198,198,197,196,195,195,195,194,193,193,191,191,197,197,199,199,199,200,197,208,214,127,143,208,199,204,201,200,204,199,198,198,197,198,194,195,195,193,192,190,199,200,199,199,201,202,197,213,203,123,149,215,181,177,203,194,187,204,204,204,201,198,199,195,197,194,194,195,200,201,201,200,201,201,198,218,200,133,154,235,183,132,177,189,135,158,182,178,192,156,162,203,196,198,197,196,201,201,201,201,203,202,201,220,201,138,194,239,204,149,144,184,154,104,126,142,183,128,116,208,197,199,197,195,202,201,202,201,203,202,205,218,197,149,221,240,217,164,118,177,151,125,168,144,200,130,112,209,198,198,198,197,202,202,202,203,204,201,212,205,192,178,206,237,224,172,108,167,136,160,182,146,204,162,120,205,200,199,199,198,202,202,202,202,204,205,210,181,196,200,177,213,226,176,103,141,137,177,163,144,196,185,140,167,210,200,201,199,202,202,202,202,202,210,209,157,190,187,173,195,228,184,104,105,142,182,150,115,190,186,134,122,212,199,201,200,201,201,202,202,200,214,210,146,155,171,151,171,222,179,97,88,137,174,132,109,195,172,108,148,211,201,201,200,201,201,202,203,201,220,224,145,132,138,131,132,201,188,108,79,142,189,120,136,185,133,101,198,203,200,200,200,202,202,202,203,205,228,230,164,119,134,126,129,174,199,142,62,135,155,118,164,140,93,141,211,199,201,200,200,202,202,203,202,209,229,229,184,114,122,126,122,161,172,112,100,180,161,174,175,113,92,196,204,201,201,201,201,202,202,203,203,212,229,229,193,115,125,136,125,181,189,163,194,192,170,157,164,102,112,214,201,204,203,201,201,201,202,202,202,213,229,231,195,120,135,133,152,209,215,217,203,185,171,134,130,91,142,215,201,205,204,202,201,207,209,210,208,214,226,228,186,136,151,132,194,223,219,217,205,186,159,125,96,97,200,208,204,205,204,203,202,147,149,153,149,194,233,225,190,161,156,135,203,226,229,217,200,176,143,111,79,146,217,207,207,201,199,203,204,93,93,95,81,153,238,222,202,168,165,145,192,233,232,201,185,161,123,99,86,116,126,124,136,166,200,211,207,105,104,106,95,133,233,220,201,168,168,149,192,235,217,188,166,139,106,94,86,91,117,154,192,207,206,208,203,104,102,105,95,131,230,208,187,165,162,151,206,223,197,173,140,119,92,93,146,176,207,216,215,216,208,195,195,102,103,108,94,151,225,199,183,168,161,164,201,199,184,151,122,113,74,149,241,220,192,185,190,198,209,204,193,103,101,106,93,173,221,195,182,172,164,172,188,184,173,135,116,107,102,189,194,219,214,187,176,183,186,181,186
6,163,164,164,164,165,165,166,167,166,166,166,166,165,165,165,166,164,163,164,164,162,160,160,161,159,158,157,157,165,166,166,166,166,166,167,168,168,168,168,168,168,167,168,167,166,165,164,164,164,162,161,161,160,160,158,157,165,167,168,167,168,168,168,168,169,169,170,170,170,170,170,170,168,167,165,165,165,164,162,161,159,159,159,157,166,167,168,169,169,169,169,169,171,171,171,171,169,170,171,170,169,168,167,166,166,164,163,163,161,161,161,159,168,169,169,171,171,170,170,170,171,171,170,171,172,172,171,171,170,170,169,169,167,166,166,164,163,163,161,160,170,170,170,172,172,172,171,171,171,171,171,171,172,172,171,171,170,170,170,170,169,169,167,166,165,164,162,162,170,170,172,172,172,172,173,173,172,172,172,172,174,173,173,172,172,171,170,170,168,168,167,166,165,164,164,164,172,173,173,173,173,174,175,174,173,173,174,175,175,176,176,175,173,174,172,171,171,171,169,169,166,162,164,164,173,173,173,175,174,175,175,177,176,176,172,171,174,173,173,172,173,172,174,166,169,164,166,162,161,180,170,162,174,174,175,175,177,179,181,182,179,173,158,144,162,172,174,172,176,171,164,165,167,164,168,162,164,187,153,160,177,178,179,180,180,176,172,173,175,172,168,133,123,151,161,161,159,154,149,148,143,143,142,142,137,136,148,169,178,175,174,175,174,168,167,171,171,171,172,139,102,99,98,113,116,122,126,127,134,141,145,147,151,161,171,168,172,168,168,167,164,160,161,159,154,149,139,119,109,106,91,114,161,169,172,174,176,177,179,176,175,178,176,174,171,165,159,155,154,157,157,151,149,154,153,119,100,104,116,111,132,178,183,177,177,176,174,175,171,152,141,140,169,161,152,150,152,152,154,154,156,168,171,131,99,91,106,116,104,110,169,181,178,178,177,175,125,97,96,94,167,160,151,144,141,144,152,156,161,159,149,132,113,108,104,102,111,101,127,185,178,175,184,147,96,104,100,96,169,163,155,148,144,144,146,148,159,164,136,114,117,121,119,109,103,96,132,182,175,179,176,120,97,95,93,94,165,162,157,152,148,148,146,143,148,161,150,114,91,109,128,128,113,93,160,187,181,177,114,94,85,72,66,56,161,161,160,156,150,150,150,150,158,164,140,115,106,102,107,119,124,104,136,151,126,109,87,84,74,62,55,49,151,162,163,162,156,152,151,148,152,159,143,122,117,121,113,103,108,108,101,97,93,85,79,71,65,59,52,51,93,150,167,160,158,157,151,148,139,138,136,126,134,132,123,119,105,83,80,91,92,84,78,70,61,56,50,47,39,70,143,148,136,134,128,127,127,114,107,93,109,122,130,125,104,73,59,79,80,74,74,75,68,56,48,45,42,37,53,131,154,154,160,165,175,174,100,89,91,108,119,101,99,78,58,60,75,71,67,73,74,59,49,44,34,23,80,162,166,166,168,169,169,172,157,137,129,121,94,74,100,75,54,48,61,67,63,67,75,66,50,44,25,25,93,104,100,102,104,104,106,108,112,113,122,117,78,66,96,74,48,48,55,59,60,64,72,69,52,45,28,24,87,103,99,99,99,99,100,99,96,106,115,107,70,62,89,68,47,48,54,55,56,58,65,67,54,44,28,22,100,107,104,106,105,102,102,104,110,104,87,82,72,57,84,64,48,40,50,52,53,55,60,65,59,47,16,37,111,105,106,105,106,106,106,103,94,84,81,71,69,58,77,61,48,43,44,47,49,53,58,63,60,49
11,165,164,164,164,164,163,163,163,161,160,159,158,158,157,156,154,152,151,150,149,146,144,143,143,140,139,138,136,168,168,167,168,167,167,168,166,167,140,157,161,160,160,159,158,156,154,152,151,149,147,146,144,143,141,138,122,172,172,171,171,171,172,172,170,174,132,124,166,165,164,162,160,158,157,156,154,152,151,149,146,144,135,89,41,176,176,176,175,176,176,175,175,171,150,97,156,170,168,166,164,162,160,159,156,155,154,152,149,138,74,25,18,180,179,179,180,180,180,179,179,175,160,111,125,172,172,170,168,166,164,163,161,160,157,156,153,96,41,25,25,184,183,183,183,184,183,182,182,179,163,119,102,176,175,174,171,171,168,167,165,163,160,159,147,57,44,36,24,186,187,187,187,186,186,185,185,183,171,144,92,170,179,177,174,174,172,170,169,166,164,162,139,46,44,35,33,189,189,189,189,189,188,189,189,187,185,156,92,153,181,181,178,177,174,173,172,170,167,164,132,47,36,22,27,193,193,193,192,191,191,192,191,189,187,163,98,134,185,183,181,180,178,175,174,172,170,168,120,37,36,19,30,195,195,195,194,194,194,193,194,191,175,164,113,111,187,186,183,181,180,179,177,175,172,171,107,31,30,17,23,196,196,196,196,196,197,196,196,195,176,167,144,98,174,186,187,185,183,182,180,179,176,173,93,29,25,14,20,198,199,199,199,199,200,199,198,198,189,175,175,115,150,129,159,188,185,184,183,181,179,172,67,33,20,20,31,201,200,200,200,201,200,200,199,199,195,175,182,183,170,102,96,189,188,187,186,183,181,175,83,72,74,65,41,202,202,202,203,202,202,202,201,201,198,182,186,160,129,99,75,180,191,189,188,185,182,173,153,145,132,115,74,204,203,203,204,204,204,205,202,193,165,181,190,145,74,83,77,154,192,191,189,185,177,174,165,143,110,85,60,205,206,206,206,206,207,204,195,184,120,106,156,133,75,69,81,117,194,192,190,177,180,178,152,111,92,77,45,207,207,207,208,208,206,197,196,173,123,94,102,134,92,65,78,81,187,193,184,163,171,161,110,92,136,132,42,208,208,210,209,206,196,199,178,137,132,110,83,116,105,64,74,75,138,168,149,156,155,121,112,139,148,144,84,210,210,211,211,200,195,176,137,89,115,114,85,85,108,67,69,81,71,95,130,145,128,108,175,142,115,125,124,212,213,213,212,197,193,175,138,89,83,119,64,53,110,79,63,110,92,93,122,124,96,164,187,171,66,114,125,214,215,214,213,194,193,176,136,93,73,96,39,39,117,79,60,127,108,91,107,94,118,190,189,187,141,128,132,215,215,215,214,203,188,176,160,137,93,58,41,44,122,98,75,89,99,100,91,82,178,194,192,189,184,156,128,216,215,216,217,213,190,182,171,151,117,80,65,82,128,120,94,105,135,104,72,147,195,195,192,189,188,163,121,217,217,218,218,217,198,183,172,162,134,102,79,92,147,135,102,123,114,86,76,188,198,196,193,191,189,166,103,217,218,218,218,219,206,187,173,159,137,108,90,87,134,156,140,123,98,71,112,200,199,196,195,193,191,166,96,217,217,218,217,217,213,183,172,151,137,116,98,90,114,135,129,114,83,67,173,201,199,195,195,193,191,161,129,218,218,218,218,217,217,192,167,155,140,125,109,95,93,111,106,92,65,129,198,199,197,195,193,191,182,144,139,219,219,220,220,218,218,211,166,154,143,132,114,92,80,90,81,66,103,195,201,200,197,195,190,149,138,133,139
2,87,97,103,103,107,111,114,118,121,123,124,123,126,130,133,130,136,138,140,137,138,140,140,140,140,141,141,142,89,99,104,105,109,113,115,119,121,120,124,143,157,156,144,141,143,119,100,138,136,136,141,139,140,140,140,140,90,99,104,107,111,115,119,119,128,143,154,144,122,107,78,76,95,74,48,83,90,75,128,143,139,140,139,139,92,100,104,108,112,118,117,130,172,162,118,86,71,68,56,52,55,55,57,60,51,52,127,144,139,139,139,139,94,102,106,109,114,116,134,174,155,105,55,44,48,49,47,50,47,41,58,71,83,127,143,139,139,139,139,138,95,104,108,111,117,120,173,162,89,57,45,34,47,40,38,43,47,75,126,142,145,144,142,141,141,142,140,140,98,105,109,114,117,133,184,130,62,45,42,44,51,38,49,46,119,151,146,144,144,144,144,144,142,141,142,141,100,107,111,117,117,144,183,115,62,43,37,45,42,46,46,73,156,147,147,148,148,148,149,145,149,127,139,145,102,110,113,119,118,161,174,92,47,37,39,38,33,44,40,122,158,151,152,151,152,153,148,152,153,101,140,150,105,112,115,121,120,178,164,92,62,51,50,39,40,40,72,161,154,155,155,155,155,154,153,163,126,87,153,151,108,115,118,120,131,192,160,103,71,59,48,43,57,45,108,167,156,158,158,157,158,155,155,153,97,103,164,153,110,116,121,121,155,198,156,104,68,58,43,45,54,43,132,166,159,161,162,160,163,150,144,138,74,111,167,156,114,119,122,124,163,196,152,99,66,56,44,45,47,44,140,171,162,163,163,164,161,139,145,119,64,102,171,159,115,120,124,126,164,196,148,95,66,53,44,40,50,54,98,161,159,167,172,169,148,149,145,107,60,128,171,162,116,122,126,126,160,196,148,103,73,55,44,43,58,74,69,88,106,110,139,140,144,150,142,90,95,173,165,166,119,124,129,128,163,194,148,107,75,59,45,48,72,83,81,95,111,112,99,123,148,142,114,78,163,172,168,168,121,125,130,131,172,193,148,111,81,62,44,55,78,76,82,101,117,126,124,114,136,127,74,134,179,171,172,171,124,126,132,134,178,188,148,114,90,65,47,60,77,78,100,116,124,116,114,103,105,84,100,183,172,174,174,173,125,129,136,136,177,183,148,118,95,68,51,63,81,93,117,120,117,106,94,88,76,63,167,180,175,176,176,176,128,131,137,140,178,177,145,123,102,71,56,65,83,98,111,114,105,95,85,71,58,137,186,176,177,178,177,176,130,132,139,141,171,168,142,130,109,74,66,68,82,99,102,106,99,88,71,76,156,188,179,181,180,180,180,179,132,134,142,142,165,163,147,138,112,79,73,68,84,96,100,100,94,73,86,177,190,181,183,183,182,182,182,182,134,136,143,145,166,164,152,138,107,83,79,70,89,92,94,93,75,74,173,189,181,183,183,184,184,183,183,183,136,138,145,150,175,166,150,130,105,90,83,69,85,86,82,69,77,165,191,183,185,185,184,185,185,184,184,183,138,140,146,156,183,167,156,132,106,90,80,71,78,83,58,100,178,191,185,187,187,187,186,186,185,184,185,189,139,142,146,162,185,168,163,132,102,85,77,71,78,61,96,189,190,185,188,188,188,188,188,187,189,196,193,172,140,143,148,164,175,161,150,121,88,76,70,73,68,80,179,187,188,189,189,189,189,188,190,195,182,142,91,55,142,145,150,163,164,155,149,121,83,75,76,81,59,134,191,187,190,190,190,190,189,192,175,121,72,40,32,34
15,91,86,84,84,86,89,89,90,93,104,119,132,142,152,160,165,165,170,174,181,187,191,195,198,200,203,207,209,90,86,84,85,85,87,90,90,94,106,119,134,143,153,161,166,166,170,176,182,188,191,197,200,201,205,208,211,90,86,85,84,84,88,93,91,95,107,121,133,143,153,161,166,167,171,177,183,189,193,198,201,204,208,209,212,90,87,85,84,88,87,86,89,94,108,123,134,144,155,161,166,168,172,177,184,189,195,200,203,206,209,210,214,90,87,86,87,84,91,124,104,99,108,123,135,145,154,165,169,170,171,177,184,191,196,200,204,207,208,210,214,90,87,87,88,72,181,186,142,136,131,126,128,144,154,155,157,166,174,183,188,192,195,199,204,207,209,212,216,91,89,87,86,77,175,158,129,130,129,113,128,133,136,131,124,130,137,153,174,191,201,207,207,207,209,214,217,92,88,87,87,81,101,116,95,102,94,89,125,114,115,110,124,138,128,126,131,146,157,174,195,216,211,215,217,92,88,86,85,87,86,86,86,90,85,88,97,91,90,89,129,135,130,132,136,140,131,112,110,152,223,214,218,91,89,86,84,86,90,90,90,97,111,124,123,124,121,108,117,115,113,104,127,154,145,125,121,84,151,230,215,92,90,85,85,85,87,88,88,96,112,125,142,151,160,165,150,113,95,124,157,160,156,122,134,125,72,177,234,92,88,83,85,86,87,88,87,96,112,128,137,148,171,173,151,131,137,205,154,167,137,145,157,134,108,84,203,92,86,85,84,86,86,88,88,97,113,125,143,201,184,141,120,116,112,193,131,118,147,191,141,164,145,88,92,90,86,83,82,83,85,85,85,96,114,115,180,224,138,112,118,121,86,121,96,83,217,158,135,180,158,115,71,89,85,82,82,82,82,84,84,94,114,115,173,193,115,115,140,147,138,110,79,105,192,103,122,182,169,127,87,89,85,83,81,81,82,83,83,97,115,116,161,171,92,130,149,159,150,113,99,110,116,111,138,162,152,122,87,86,84,81,80,80,82,83,84,97,114,115,167,222,122,119,152,165,147,102,94,109,111,128,138,126,103,95,82,85,85,81,80,80,82,83,83,95,114,116,169,190,210,161,122,117,104,89,99,106,109,117,130,121,82,75,76,86,84,80,80,78,80,82,82,93,114,113,218,195,180,201,144,97,54,58,92,111,115,126,141,122,82,76,76,86,82,79,80,78,80,82,83,93,111,121,164,184,200,187,171,144,78,20,33,63,124,125,128,103,79,79,80,75,72,69,69,68,70,71,73,85,102,119,129,142,169,159,162,136,122,57,34,48,118,141,115,94,89,92,92,132,126,123,118,114,109,108,109,116,125,132,142,151,154,136,123,142,175,113,41,69,83,137,149,132,119,108,100,137,132,131,130,128,128,133,133,128,125,123,120,125,130,133,129,131,207,135,71,91,72,91,118,118,107,95,87,118,117,117,115,114,116,118,116,116,118,111,106,111,114,117,120,108,138,115,119,125,116,113,99,87,86,83,77,124,125,126,123,123,124,126,126,124,125,126,124,126,128,127,128,129,124,127,128,131,131,141,142,110,89,81,76,125,127,129,128,126,125,126,127,126,127,128,127,127,127,125,127,128,129,128,130,126,124,142,156,136,113,91,100,127,129,129,129,128,126,128,129,128,130,129,129,130,128,127,127,129,128,129,129,128,126,121,139,188,125,128,138,126,127,127,126,126,126,127,127,127,128,127,127,129,127,127,129,131,129,129,128,127,127,126,125,233,217,186,174
4,89,98,119,134,141,148,153,159,162,166,168,170,175,177,181,185,186,188,191,190,192,194,195,196,196,196,197,198,91,101,121,136,143,151,154,160,164,167,170,173,175,178,180,184,189,191,191,196,195,195,196,198,199,198,199,200,92,104,125,136,143,150,156,162,166,169,167,170,176,182,190,182,166,181,191,178,191,201,198,200,202,202,202,203,94,104,127,138,145,151,157,163,168,167,191,193,168,173,227,196,128,98,168,135,108,196,204,200,204,203,204,203,94,107,129,138,148,154,158,162,174,176,173,211,207,136,166,184,119,69,109,137,76,148,215,200,205,205,205,204,94,111,131,139,148,154,161,159,208,205,165,144,160,126,104,156,108,63,130,144,72,129,218,202,206,207,207,207,95,113,133,141,150,156,157,178,225,217,189,148,90,88,100,192,118,75,174,124,50,143,219,204,207,209,210,210,97,115,134,141,150,157,153,203,200,170,181,120,79,68,93,174,130,170,178,127,62,166,216,205,210,210,212,212,97,119,136,142,150,159,154,212,173,151,175,90,66,79,57,116,164,189,157,159,117,153,219,208,211,212,213,214,100,120,136,143,152,159,161,227,190,173,159,103,51,118,150,163,168,152,146,177,154,124,170,223,213,214,214,215,102,124,138,145,153,155,174,230,175,146,134,105,31,125,169,144,144,100,140,194,178,165,113,177,224,213,216,216,104,127,139,145,154,152,186,220,162,130,107,73,38,43,84,96,81,77,137,177,195,179,139,102,195,221,217,218,107,128,139,146,156,150,209,230,177,146,125,95,62,46,53,56,110,198,193,188,183,161,154,105,128,227,216,219,108,129,139,148,157,151,228,226,178,164,132,96,76,74,115,173,214,223,202,187,163,127,130,102,129,229,218,222,109,130,140,148,156,156,241,227,201,174,131,110,91,105,188,220,226,225,203,173,149,112,103,91,182,226,220,222,109,131,141,148,155,161,251,232,206,167,131,126,99,152,213,214,225,219,191,159,131,107,84,119,226,219,222,223,113,132,142,150,156,161,246,233,199,163,144,144,124,180,209,209,218,208,176,146,122,100,76,185,230,220,223,225,116,133,142,151,159,163,244,229,194,177,175,157,153,191,205,214,204,185,159,132,116,86,119,228,221,223,224,226,116,135,142,151,159,162,228,228,210,198,187,162,165,196,203,203,182,163,143,120,104,79,192,230,222,224,226,226,119,134,141,152,161,158,210,236,224,209,185,158,143,176,186,180,164,146,129,113,81,130,231,222,224,225,228,228,121,134,141,152,162,160,193,236,212,201,181,152,132,158,169,165,146,129,117,98,86,207,227,226,228,227,228,229,123,136,142,152,162,164,180,229,199,181,167,140,141,156,170,164,142,122,111,77,159,232,222,227,228,229,229,229,125,135,143,154,162,166,175,216,183,172,158,144,166,150,151,156,131,112,87,100,223,225,225,227,229,230,230,231,126,135,146,155,162,169,172,220,187,181,167,171,179,151,134,142,122,103,75,168,233,222,225,226,230,231,232,232,125,136,147,155,164,165,211,211,209,186,176,174,162,144,124,127,115,99,78,205,229,223,226,230,230,231,232,233,127,136,146,157,156,189,231,205,177,185,185,170,149,137,117,112,103,93,73,203,230,223,228,230,232,232,232,234,129,136,147,155,164,231,214,222,189,123,168,161,141,130,101,100,98,87,74,205,229,227,229,230,232,232,233,234,130,137,151,150,196,231,209,213,231,168,99,134,135,122,91,96,94,83,68,201,229,229,230,231,233,233,234,234
0,173,171,171,172,172,172,171,170,171,172,172,172,171,171,170,170,169,169,169,167,165,165,165,165,163,161,161,161,175,174,174,174,174,175,174,174,174,174,174,173,173,173,171,171,170,169,170,169,168,167,166,167,165,164,163,162,176,177,176,177,177,177,176,177,176,175,175,175,175,174,174,173,172,170,171,169,169,168,168,168,165,164,163,163,177,177,177,177,177,177,176,177,177,176,177,177,175,174,175,174,173,173,173,170,170,170,169,168,168,167,166,164,177,178,178,177,178,177,177,177,178,177,178,178,178,177,177,179,176,175,177,176,172,171,171,170,169,168,167,167,180,179,179,178,178,178,178,178,178,178,178,178,177,178,172,158,174,180,159,156,177,150,145,176,169,169,169,169,179,180,180,180,179,179,178,178,179,178,179,181,183,175,140,104,101,144,121,94,115,153,95,170,172,170,170,167,180,181,181,180,180,181,181,181,182,185,181,161,138,149,136,110,66,73,125,96,62,151,94,133,184,169,172,169,181,181,182,182,181,181,180,181,163,163,171,142,91,72,132,117,93,82,127,102,65,131,126,71,161,178,170,171,182,183,183,183,182,182,179,169,131,87,151,137,101,60,124,125,105,79,133,106,57,104,139,83,79,160,175,171,183,183,183,183,183,183,169,162,137,92,137,144,113,72,119,131,96,76,138,108,52,66,143,115,68,95,186,169,183,184,184,184,185,180,157,155,148,112,121,153,111,75,99,134,93,62,115,95,45,68,148,123,60,103,187,171,186,185,185,185,185,175,145,137,148,120,106,145,106,73,83,132,92,35,57,56,29,115,155,117,49,151,181,173,187,186,184,185,184,171,162,124,132,116,78,128,112,82,51,80,58,10,38,39,78,150,149,91,72,183,175,176,188,187,186,186,182,164,145,97,105,78,37,97,105,75,23,20,34,76,116,100,131,151,130,61,117,189,175,177,187,188,187,190,179,162,152,117,87,54,29,44,64,34,18,50,115,152,149,137,118,137,107,42,158,184,176,177,188,189,188,191,176,165,163,140,103,84,69,72,81,85,106,139,157,150,143,138,102,101,72,53,185,179,179,178,189,189,188,191,174,165,171,146,120,100,90,100,127,151,160,163,164,152,137,126,86,70,33,126,192,179,180,178,189,189,188,191,176,159,171,149,126,98,99,108,152,164,166,168,163,142,126,112,77,28,92,191,180,181,181,180,188,189,188,190,181,150,163,152,132,110,106,123,166,168,166,168,152,128,110,95,41,67,188,183,182,182,183,181,187,188,188,188,188,153,159,158,138,128,116,136,163,168,166,156,132,118,99,65,41,172,186,182,181,182,181,180,189,189,188,188,193,162,149,160,151,138,117,140,160,161,158,141,116,102,80,32,140,192,179,182,182,181,180,178,189,189,190,188,191,176,144,156,149,133,116,132,153,146,138,119,97,82,33,103,196,181,184,183,181,181,180,179,189,189,189,189,190,188,151,152,141,127,116,125,144,133,120,100,79,33,74,191,185,185,184,182,182,182,182,181,189,188,189,190,191,186,157,152,135,120,117,120,137,126,102,86,39,68,187,187,185,186,185,184,183,183,182,181,188,188,188,188,190,178,157,150,142,139,134,125,131,122,92,58,41,180,190,186,187,187,185,184,183,183,181,181,192,191,192,191,194,160,155,158,153,148,138,127,126,109,76,32,111,201,184,189,187,186,187,185,185,184,181,179,157,160,163,166,169,146,159,166,157,146,138,129,113,87,65,35,155,192,187,188,188,187,186,185,184,183,181,180
10,89,94,99,96,80,67,71,42,36,60,64,70,77,91,101,107,112,119,123,129,135,138,140,144,145,148,150,152,96,102,107,99,86,70,81,37,43,62,66,70,97,126,102,109,114,121,126,131,135,139,142,145,147,149,150,152,106,112,116,103,92,72,87,33,48,63,67,69,131,149,93,108,117,124,129,133,136,140,144,146,148,149,151,152,116,122,124,107,98,75,91,29,54,64,69,71,123,157,95,99,122,127,132,135,139,144,148,150,151,152,152,153,125,132,131,110,102,82,91,28,58,66,69,73,105,159,109,89,125,133,137,141,144,149,153,155,157,157,157,157,133,141,137,115,104,90,87,30,63,67,70,76,93,159,133,89,124,139,143,147,152,157,160,162,162,163,163,163,141,149,141,120,104,99,80,34,66,69,72,77,90,152,149,97,116,145,149,153,159,164,167,168,169,169,169,170,148,155,144,126,104,109,72,40,67,70,74,79,93,142,160,106,104,151,155,160,164,169,172,174,175,175,175,176,153,161,145,130,103,118,62,46,69,71,74,81,96,142,176,121,98,155,161,166,171,175,178,181,182,182,182,182,158,165,146,135,102,125,53,52,69,72,75,81,100,143,176,128,97,157,167,172,176,180,183,186,187,188,188,188,162,167,147,138,103,128,47,77,77,73,76,84,103,143,165,128,93,155,172,176,181,186,189,192,193,194,194,194,166,170,148,139,104,125,91,119,79,79,89,85,107,148,150,131,91,150,177,180,186,191,194,197,197,197,198,199,169,170,148,137,108,125,118,118,77,65,67,71,100,150,138,149,88,140,181,184,190,196,198,200,201,201,201,202,172,171,150,135,114,137,100,108,96,73,61,52,59,89,111,127,83,126,185,188,194,199,202,203,204,204,205,206,174,170,153,131,120,114,70,78,112,101,80,51,39,64,88,99,86,107,185,192,197,201,203,206,206,206,207,208,176,169,158,129,128,101,70,108,130,116,82,55,44,52,69,81,81,92,183,195,200,204,207,208,209,209,210,210,178,169,161,125,138,82,96,164,154,115,87,67,56,54,61,69,74,89,184,198,201,206,209,210,211,212,212,213,180,169,161,120,143,70,102,173,155,105,102,86,66,59,58,62,68,92,188,200,204,208,211,213,214,214,215,215,181,169,162,118,149,60,77,184,178,94,84,101,86,70,56,56,66,100,193,201,206,211,213,214,215,216,216,217,181,171,165,118,152,51,77,185,183,92,112,110,104,84,60,56,61,112,197,201,207,211,214,215,217,218,218,219,181,172,166,121,156,46,73,170,145,110,161,131,109,96,68,59,59,119,199,202,207,212,215,217,218,220,221,220,181,174,164,124,153,41,69,157,173,150,173,151,119,103,81,66,62,127,199,203,207,211,215,216,218,220,221,220,183,178,161,130,146,37,67,129,177,166,168,156,139,110,86,71,64,131,200,203,207,211,215,217,218,219,220,221,185,179,155,138,136,33,69,91,168,184,168,165,141,116,91,75,65,128,200,203,207,211,215,218,219,219,221,222,183,180,149,144,137,63,86,84,157,184,167,176,138,114,89,77,70,137,200,204,209,213,216,219,220,222,223,226,177,180,144,148,160,109,102,102,134,179,165,169,134,108,91,83,71,115,147,153,157,161,167,170,172,176,179,175,181,179,141,155,158,103,98,101,106,161,158,150,139,122,108,87,66,90,111,112,112,114,114,115,115,115,111,81,184,177,137,161,156,105,100,103,103,129,137,133,141,143,131,90,60,65,111,113,116,117,117,115,115,117,94,63
2,148,150,151,152,155,157,157,157,157,157,157,157,156,157,155,151,151,152,151,152,151,150,149,149,148,147,145,144,150,151,153,155,157,157,158,158,159,158,157,159,158,153,157,172,182,174,155,147,149,151,152,150,150,149,148,146,151,152,153,157,157,158,159,159,159,159,160,156,159,177,199,202,188,178,178,132,110,107,132,152,150,150,149,147,152,154,155,157,158,160,160,159,161,161,157,168,210,198,198,197,172,142,131,103,77,78,71,135,155,151,149,149,154,156,158,158,159,161,162,162,161,163,154,201,208,192,198,161,118,91,86,78,75,78,61,117,158,149,151,151,155,156,158,160,161,161,163,164,163,161,164,218,206,194,148,105,71,63,70,68,77,79,99,146,156,153,152,152,156,157,159,160,163,164,164,165,165,158,181,226,203,139,89,73,60,72,76,112,146,145,156,158,156,154,153,153,157,158,160,163,163,164,166,167,168,159,191,223,178,104,64,70,69,76,128,163,162,161,158,157,156,156,155,154,159,160,162,164,163,165,166,167,169,162,214,209,140,77,55,63,65,81,166,160,159,159,159,158,157,156,156,155,159,162,163,163,166,167,167,169,163,184,225,163,94,56,54,50,63,86,163,161,162,161,160,159,158,157,156,155,159,161,163,165,167,168,168,169,169,221,199,129,79,65,70,61,53,103,170,161,163,162,160,159,159,158,157,157,160,162,164,166,169,169,171,164,207,230,176,122,90,81,78,75,60,121,173,162,164,163,161,160,160,159,158,158,162,164,165,167,170,171,171,172,237,218,161,111,85,89,80,80,69,127,173,163,164,164,162,161,162,162,157,157,163,166,166,169,171,172,167,190,243,201,140,99,88,88,78,82,74,131,175,164,166,165,164,163,162,164,163,159,165,166,168,171,172,175,166,212,239,187,128,93,84,81,77,83,76,138,176,166,167,166,167,166,165,155,144,153,166,167,169,172,173,174,172,237,227,174,123,91,80,81,81,84,70,135,177,167,168,167,168,164,147,147,110,114,166,168,171,173,177,168,198,248,210,164,116,87,77,78,77,77,64,108,180,169,170,170,166,144,152,133,96,152,169,170,172,174,178,171,230,238,198,156,113,83,75,73,72,79,72,76,172,173,171,173,139,140,149,94,130,169,170,172,174,177,172,190,246,224,188,148,107,81,72,68,75,83,83,66,127,185,170,134,127,147,113,93,165,164,171,173,174,179,171,213,242,213,178,141,104,79,70,71,76,80,84,79,75,115,126,123,138,129,93,114,172,164,172,173,175,178,175,230,232,203,175,139,102,80,69,78,79,75,79,81,77,79,116,145,135,107,102,154,169,165,173,174,177,176,187,235,221,199,175,134,103,85,74,86,84,83,88,89,86,101,134,143,122,108,158,172,167,167,174,175,179,174,210,234,217,205,179,140,115,90,79,95,98,102,100,100,94,105,136,118,111,161,176,171,168,166,173,177,178,178,232,234,219,206,181,148,121,96,85,102,110,114,102,99,97,103,107,117,168,176,172,173,169,168,175,178,176,190,238,230,218,202,168,134,118,100,91,105,114,114,105,99,92,95,116,171,179,175,174,172,171,169,175,181,170,209,232,223,212,183,144,115,106,100,99,110,111,107,103,89,116,160,176,179,176,174,173,173,171,168,177,175,193,233,219,207,185,149,117,110,106,98,100,103,102,100,91,125,180,183,178,178,177,174,174,174,170,167,175,183,237,220,201,188,165,121,112,113,107,103,101,96,95,102,144,184,182,178,179,179,176,176,175,174,171,170
14,163,167,172,174,177,179,180,182,184,184,185,186,187,188,188,188,188,188,188,187,186,186,185,185,185,183,183,182,164,169,173,176,179,181,183,185,186,187,187,189,189,191,191,191,190,192,190,190,190,189,187,187,187,185,185,185,166,170,174,178,181,184,186,187,188,189,191,191,192,193,193,194,192,193,195,194,193,191,190,189,188,188,187,186,168,171,175,179,183,186,186,189,191,191,192,193,195,195,195,197,193,194,185,190,194,195,192,191,192,191,189,188,169,173,178,180,184,186,188,190,192,193,194,197,198,196,197,196,213,201,175,178,178,174,197,195,192,194,193,191,171,176,179,183,185,187,189,192,193,193,197,199,200,198,199,217,214,202,187,176,168,151,149,191,197,194,193,193,173,177,182,185,187,188,190,194,195,196,198,199,200,200,217,219,218,194,186,203,176,146,109,130,203,196,196,195,174,180,183,186,188,192,194,195,198,198,200,201,200,208,220,211,205,142,100,172,148,181,109,71,148,207,195,197,176,180,183,187,191,193,195,196,199,200,202,203,210,224,212,149,117,108,80,76,109,208,149,87,115,205,198,198,179,182,185,190,193,194,196,198,200,203,202,213,232,230,198,152,106,71,69,68,61,170,178,117,93,195,203,200,178,184,187,191,193,195,198,200,203,204,205,230,229,196,156,135,113,82,65,68,81,167,152,127,95,169,211,200,178,184,189,193,194,198,200,201,204,199,224,236,217,184,123,90,90,78,67,90,186,215,195,173,106,145,214,200,179,184,190,194,196,198,201,205,199,215,246,225,211,181,127,91,70,66,80,206,217,200,194,152,88,165,215,204,182,186,190,194,196,199,202,202,206,244,233,221,206,159,126,98,62,59,178,225,210,201,182,151,81,129,221,204,183,187,192,196,199,201,205,202,239,248,230,221,194,165,132,82,54,69,121,174,228,187,164,140,96,85,195,213,183,189,193,197,200,204,202,218,253,244,228,211,191,154,116,74,72,85,80,95,191,155,164,139,116,84,177,219,184,191,195,198,202,206,202,243,251,238,221,207,183,131,99,73,101,112,114,111,102,143,166,144,94,123,214,212,186,192,196,200,201,201,219,254,240,230,213,195,161,125,96,94,119,124,125,132,115,140,154,119,100,206,216,212,186,192,197,200,212,207,245,247,233,220,201,189,152,128,102,109,125,129,127,125,126,130,131,96,188,222,212,214,187,191,198,202,145,202,255,240,224,211,197,175,159,128,104,116,129,126,118,116,129,99,84,181,225,215,217,215,188,192,206,162,86,106,199,234,204,186,173,163,140,104,104,108,120,122,111,111,94,84,169,228,216,218,217,218,188,197,189,103,101,93,90,143,182,172,139,109,81,83,94,94,105,109,95,94,150,208,228,219,221,219,218,218,189,201,133,100,92,91,88,85,96,101,91,76,69,73,76,76,77,77,104,190,235,228,224,223,221,220,220,219,198,163,97,100,87,87,85,91,75,37,52,54,50,49,51,45,106,169,217,233,224,225,225,224,223,222,221,220,187,117,99,89,86,84,83,80,92,53,37,49,44,41,42,33,84,239,229,225,227,227,226,224,224,224,222,222,138,96,90,87,86,82,79,78,87,63,28,43,41,39,42,27,107,237,224,228,227,227,227,226,226,225,223,223,109,93,81,81,79,72,73,73,88,61,26,38,37,36,39,27,183,242,227,230,230,229,228,227,226,225,224,224,108,93,85,73,61,105,91,64,90,47,27,37,34,34,33,48,218,234,230,230,230,229,228,227,227,226,224,224
7,157,158,159,159,158,158,158,157,158,158,158,158,159,158,157,156,156,155,137,55,37,57,72,77,98,121,137,157,159,161,162,161,161,161,161,161,161,161,161,160,160,160,159,159,159,158,119,48,49,70,70,73,96,119,141,159,164,164,164,164,165,165,165,165,166,165,165,164,163,163,162,161,160,159,102,49,60,66,69,69,93,124,146,160,166,166,167,166,167,167,167,167,168,167,166,163,161,164,161,160,156,157,129,103,112,73,63,80,101,135,153,155,170,170,170,170,171,170,169,170,171,171,171,161,150,161,167,160,148,147,140,154,175,106,63,82,112,147,155,149,173,173,173,173,175,174,173,175,182,185,181,167,156,162,161,157,149,144,140,139,160,112,79,99,129,158,157,147,176,177,176,175,175,177,184,191,194,191,183,171,167,161,138,143,158,152,150,142,139,122,119,150,145,161,163,153,180,180,182,180,176,182,189,189,187,182,179,178,172,160,142,146,159,150,147,140,121,114,107,131,131,159,169,166,182,182,198,194,184,183,185,184,183,183,180,178,170,152,145,138,128,116,111,108,95,96,100,101,108,155,169,174,183,188,207,196,179,175,181,184,183,179,171,162,149,133,123,117,115,117,126,125,108,155,149,134,111,154,166,175,186,193,205,192,167,163,171,172,168,154,134,120,101,97,124,158,173,175,180,162,135,182,142,160,120,150,163,170,188,197,200,183,161,163,163,148,130,112,117,135,111,110,116,106,167,185,184,176,158,130,125,179,124,136,160,161,189,199,198,185,183,177,163,151,144,148,151,149,140,138,139,92,120,188,184,183,176,136,164,186,131,118,154,155,193,201,202,204,207,186,155,153,157,156,151,141,136,134,124,88,116,189,187,185,182,173,167,177,150,115,147,155,196,203,205,211,207,181,149,145,142,135,134,130,124,117,101,97,173,190,188,187,185,183,187,176,162,148,153,157,198,204,207,208,193,172,157,146,125,106,111,123,120,114,103,112,187,192,190,189,189,185,163,133,137,155,156,158,204,207,206,199,184,175,175,174,146,123,132,145,138,124,117,112,161,195,192,190,191,192,163,129,144,152,154,158,208,210,203,193,183,176,186,182,147,124,129,132,124,113,107,98,159,196,193,193,193,194,184,151,161,149,152,157,207,208,202,192,184,185,195,177,143,122,121,119,114,105,96,114,186,197,196,195,193,192,190,167,159,150,145,153,205,206,200,190,188,191,185,161,132,114,103,95,88,82,102,172,199,197,196,195,194,194,193,177,161,155,142,144,202,201,194,188,188,179,163,145,129,116,97,83,94,129,175,201,199,198,197,196,195,195,195,183,163,164,149,133,196,195,189,185,184,171,156,146,131,117,128,165,185,201,203,203,200,199,199,199,198,197,197,184,163,169,163,144,191,189,187,183,178,169,159,144,114,106,183,207,205,204,202,202,202,201,200,200,199,197,196,184,160,167,166,156,188,181,182,179,167,157,146,117,92,150,208,208,206,206,204,204,203,201,201,201,200,199,197,184,161,165,164,159,184,175,170,163,150,137,117,93,119,199,209,208,208,208,207,206,204,202,202,202,201,200,200,185,162,164,161,154,176,167,159,144,126,108,90,104,184,209,209,209,208,208,207,206,205,205,203,203,202,201,200,181,164,164,160,154,158,150,139,122,100,88,107,176,210,210,210,210,210,210,209,208,206,205,204,204,203,202,197,173,165,165,160,152,143,132,124,110,93,122,183,210,211,210,210,210,210,210,210,209,208,207,206,205,204,203,187,167,168,168,163,155
4,122,125,128,132,135,139,144,147,149,150,155,156,157,160,163,164,163,164,165,167,168,168,168,167,167,168,167,166,123,127,130,133,137,141,147,149,151,153,155,158,161,161,163,167,169,165,168,169,168,170,170,169,170,170,168,168,125,130,130,134,138,143,147,149,154,155,158,165,159,171,157,119,147,176,165,168,175,171,172,172,172,171,170,170,126,131,132,136,140,145,148,152,153,159,149,143,165,200,173,120,93,156,145,105,153,179,171,174,174,173,172,172,128,132,134,138,143,147,150,150,166,195,158,135,136,197,177,153,115,99,149,97,81,170,177,176,177,176,175,176,130,132,133,138,143,148,155,146,189,228,190,170,115,158,194,154,131,74,135,122,77,128,187,175,177,178,176,177,131,133,134,139,145,149,151,149,179,207,221,191,142,115,201,165,131,68,128,129,82,119,190,177,179,179,179,178,131,134,138,142,148,147,165,175,161,158,176,202,144,81,151,173,112,64,120,128,74,116,190,178,179,179,179,179,133,135,138,142,149,142,196,216,195,180,139,117,114,66,90,128,84,63,100,107,65,129,190,178,181,180,179,180,133,135,139,144,150,144,203,199,194,187,136,69,72,68,54,95,65,36,66,63,54,152,188,181,184,182,181,181,133,135,139,144,150,149,193,131,126,146,103,63,54,83,39,79,86,104,134,74,45,172,186,181,184,183,183,183,136,138,139,145,151,153,186,112,57,104,111,68,52,74,76,100,152,189,168,104,62,135,192,186,182,186,185,184,137,139,140,146,152,152,185,135,103,84,120,85,83,128,139,151,177,185,140,98,88,73,116,179,191,185,186,186,137,139,141,147,153,151,184,154,126,88,81,63,86,158,129,145,155,140,106,93,96,93,77,85,152,193,185,187,138,141,144,148,154,152,181,169,116,79,64,52,45,99,100,103,99,92,80,89,94,95,95,80,71,178,191,186,139,141,145,150,156,152,179,180,128,104,86,71,51,41,67,86,92,82,66,74,92,104,95,90,75,158,195,186,140,141,144,150,156,153,175,194,159,112,91,76,64,57,81,130,136,131,124,101,97,118,97,86,91,176,193,187,139,142,145,151,156,156,173,193,159,124,116,91,76,67,106,165,181,181,173,145,121,112,97,85,126,194,189,190,139,143,146,152,157,157,170,196,161,150,134,98,82,75,116,186,192,185,168,139,116,95,88,91,170,195,190,192,141,142,146,152,156,159,167,190,165,160,135,92,85,84,115,188,180,169,156,133,107,93,85,114,196,192,193,192,142,143,147,152,156,162,165,185,167,152,125,88,92,91,117,173,161,154,147,124,99,94,89,150,201,192,193,193,142,142,147,152,158,164,164,183,169,148,119,91,102,100,132,163,151,148,134,109,93,94,102,182,196,193,194,195,141,143,148,154,159,163,166,177,176,147,114,108,125,110,135,151,144,137,111,95,92,91,138,199,193,195,196,195,142,143,148,154,159,163,168,172,173,146,125,130,130,113,111,128,122,112,94,89,90,105,182,197,196,196,196,195,143,144,149,155,160,164,169,171,177,156,135,130,119,103,90,97,96,91,88,96,90,142,202,197,198,198,197,196,142,143,149,154,159,164,169,170,177,173,133,112,103,92,88,90,90,90,92,98,78,152,205,196,198,197,196,197,143,145,151,156,160,165,170,173,174,178,136,96,85,83,86,94,93,91,92,93,67,130,208,195,197,199,199,199,144,146,151,155,160,164,169,174,174,173,151,106,95,99,99,101,97,89,91,88,72,111,205,196,197,199,200,200
1,39,0,12,26,32,40,58,74,84,90,95,98,100,103,107,110,117,114,117,119,121,122,122,124,125,123,125,126,30,0,18,26,33,42,61,75,86,92,96,98,102,104,114,109,80,118,122,120,121,123,123,125,125,126,126,126,18,0,23,27,35,45,66,79,87,93,99,101,103,103,129,111,38,100,102,122,123,125,125,126,126,126,126,126,6,0,25,27,36,46,68,82,88,94,100,101,110,102,119,107,50,99,57,114,127,126,128,128,128,128,128,128,0,0,26,29,38,49,71,82,90,97,102,99,129,90,97,101,57,113,57,104,132,126,129,129,130,129,129,130,0,0,27,30,39,52,73,84,91,97,102,103,135,79,105,103,62,114,57,93,135,127,130,131,131,130,130,131,0,3,27,31,40,54,75,85,91,97,104,108,138,65,101,99,58,119,66,89,136,128,131,132,133,133,133,133,0,11,29,33,42,58,77,86,94,98,121,90,124,59,104,100,58,109,63,86,139,131,134,134,134,135,134,135,0,16,29,34,44,60,78,87,92,111,115,71,113,63,128,100,56,119,71,80,142,133,136,136,136,136,136,136,0,20,30,35,43,62,79,89,91,130,96,66,106,69,136,89,63,142,78,81,142,134,137,137,137,137,138,138,0,23,30,37,46,66,81,90,97,141,76,83,112,68,114,64,62,135,67,86,143,136,139,139,139,139,140,140,0,26,30,38,48,67,83,89,107,141,59,82,93,53,102,50,78,129,58,89,144,137,141,140,141,142,141,141,0,28,30,39,48,67,83,85,119,140,55,68,100,93,91,113,119,119,57,93,145,139,141,142,142,142,142,143,2,30,32,40,50,71,85,86,134,123,66,73,124,111,89,115,106,105,53,90,149,139,143,144,143,143,143,143,8,31,33,41,52,73,84,89,146,132,114,108,135,127,115,99,88,81,47,90,150,140,143,144,145,145,145,145,12,30,33,41,53,75,81,104,157,116,108,111,101,101,135,132,111,86,44,88,150,141,144,146,147,147,147,147,18,30,36,42,54,77,77,126,149,95,76,72,47,70,132,129,123,105,53,81,152,141,144,146,147,148,148,147,23,30,37,44,57,80,79,139,140,95,92,98,88,132,142,131,108,90,50,53,150,145,147,148,148,149,149,149,26,31,37,44,59,81,81,138,147,110,96,101,136,167,147,124,95,62,46,31,131,151,148,149,149,149,150,149,27,30,37,44,60,80,81,131,158,125,107,101,136,170,148,114,89,52,36,28,128,153,148,150,151,150,150,150,30,31,39,45,61,79,83,121,159,126,111,102,127,162,140,109,78,53,30,46,148,149,150,152,151,152,152,152,30,32,40,47,64,81,87,111,152,123,117,106,113,148,132,104,71,52,24,93,158,149,152,152,154,154,154,154,30,32,41,47,65,81,90,102,142,129,126,116,130,141,114,87,61,44,34,134,153,153,153,153,155,155,156,154,29,33,40,48,66,81,90,99,127,129,122,110,119,126,97,72,57,34,55,153,151,154,154,155,155,156,157,156,30,33,39,46,66,80,91,99,114,126,117,109,95,99,87,67,58,28,73,158,151,154,155,157,157,157,156,157,29,33,39,45,65,78,89,99,104,125,119,105,97,96,96,78,57,26,99,156,148,152,155,155,156,156,156,155,30,31,37,45,66,77,88,95,124,130,122,119,108,98,89,77,50,23,113,156,148,152,154,155,156,156,156,156,29,30,36,45,66,77,89,98,147,142,99,121,110,94,71,60,48,18,97,157,147,153,155,156,157,156,156,157
13,103,106,110,115,120,123,125,127,129,132,135,136,138,140,141,143,144,145,144,145,145,146,146,145,146,145,145,145,104,107,112,117,122,125,127,129,130,132,136,138,140,142,143,142,143,145,149,147,147,146,147,147,148,147,147,146,106,108,113,119,122,126,128,131,133,134,138,140,141,142,146,155,156,125,114,148,147,152,148,149,150,148,148,147,108,110,115,121,124,128,130,133,135,137,140,141,144,146,149,175,165,120,74,79,106,119,151,150,150,149,150,149,108,112,116,121,125,128,131,134,136,140,140,143,147,117,115,130,162,118,72,56,109,76,96,158,149,151,150,150,109,113,117,121,126,129,131,135,137,139,139,170,161,127,96,94,149,148,89,65,116,75,74,159,151,151,151,150,111,114,119,123,128,131,133,135,140,142,104,137,178,157,122,62,100,166,98,63,123,77,88,162,152,153,152,152,111,114,119,124,129,132,135,133,164,155,110,67,145,175,136,80,43,119,95,62,147,85,109,163,152,154,154,153,112,116,121,126,130,134,132,158,166,166,141,81,76,176,131,86,28,43,54,57,138,82,142,160,154,155,155,155,112,117,123,128,131,132,146,158,127,163,151,100,44,146,123,76,31,28,57,89,104,68,111,165,155,156,157,156,113,118,125,129,132,135,169,158,117,141,133,90,40,117,124,85,29,49,107,116,97,86,72,151,160,157,158,157,116,121,127,132,132,145,166,141,109,128,112,75,27,97,144,97,42,122,142,120,85,73,71,108,167,156,158,158,117,123,130,135,133,160,162,138,103,107,104,74,20,65,145,79,90,159,136,114,87,73,64,92,170,158,159,160,118,124,132,136,134,165,173,150,121,85,95,66,27,60,140,120,151,148,127,103,83,68,49,124,168,159,162,162,119,127,135,140,137,170,175,153,129,89,73,72,97,140,164,167,159,138,115,93,80,57,63,162,162,162,163,163,124,131,137,142,141,176,182,160,128,113,113,117,133,155,163,159,152,129,106,89,72,44,102,173,160,163,163,163,126,133,139,144,146,178,179,169,136,131,128,113,146,149,164,156,141,120,102,83,65,39,134,171,163,164,164,163,129,136,142,146,149,171,176,176,150,141,131,121,155,155,154,147,126,108,90,77,50,63,170,166,166,166,165,165,131,138,146,150,151,161,177,174,159,145,131,127,147,160,144,130,112,98,86,67,45,143,174,167,167,167,168,168,133,140,147,151,153,155,173,167,164,149,138,131,137,153,141,119,103,88,82,50,124,180,168,169,169,169,168,167,135,142,148,152,157,153,166,169,164,159,153,137,132,147,135,110,90,84,60,96,181,170,172,172,171,169,173,176,137,145,151,155,160,153,160,173,164,162,155,134,127,135,125,98,78,74,67,166,176,173,174,173,172,177,158,112,139,147,153,157,160,156,160,165,140,144,145,131,123,127,112,95,79,56,125,184,174,175,174,175,179,118,47,29,140,148,154,158,161,159,162,167,139,150,153,145,124,121,107,98,74,61,163,177,177,177,183,183,106,40,29,21,141,148,153,157,161,158,157,178,149,159,160,147,123,113,106,99,70,71,175,177,178,182,150,84,36,40,42,13,141,149,155,158,161,163,159,179,164,174,166,148,127,113,106,100,66,78,181,174,187,132,46,27,20,38,46,24,143,151,157,160,162,166,144,176,171,172,162,143,128,116,106,98,65,71,177,183,164,62,42,42,16,19,41,35,145,153,158,161,163,167,84,165,170,166,155,139,131,117,110,89,66,43,174,186,90,47,40,38,23,6,30,38
8,170,171,173,173,173,174,174,175,175,174,173,173,173,171,170,170,169,167,167,166,166,164,162,161,160,157,156,155,172,173,174,175,174,175,176,177,177,177,176,174,175,173,171,172,171,169,168,166,166,166,165,163,161,159,157,156,174,173,175,177,176,181,180,179,178,178,179,177,177,176,174,174,173,172,171,168,167,167,166,164,163,161,158,157,174,175,176,182,166,131,179,181,180,180,180,179,178,177,177,175,174,174,173,172,170,169,168,166,165,162,159,158,176,178,177,183,150,84,158,186,180,181,180,181,180,179,179,177,176,175,174,173,171,171,170,168,166,164,162,159,177,179,180,181,125,79,159,190,183,183,182,182,181,180,180,180,180,180,177,176,176,171,171,168,167,166,165,162,179,180,183,179,115,79,177,188,186,186,186,184,182,182,181,180,173,162,177,175,162,174,172,170,168,167,166,164,180,181,184,173,100,82,188,187,187,189,178,186,188,186,187,186,145,105,102,161,120,160,177,171,169,168,166,165,181,182,184,179,108,79,183,190,189,161,118,120,183,157,132,146,148,123,75,113,110,133,184,172,172,170,168,166,183,184,187,182,118,74,176,194,175,148,135,99,122,138,102,80,138,138,99,70,109,103,182,174,174,172,170,168,182,185,187,177,116,67,151,200,166,163,151,120,98,139,112,87,138,136,100,59,93,79,135,184,173,172,171,169,183,186,188,182,148,101,117,202,160,163,164,129,89,129,131,94,125,118,80,54,77,101,77,160,179,173,171,170,184,186,188,187,174,126,98,177,151,146,169,134,87,111,142,91,96,120,95,53,69,106,66,137,184,172,172,171,185,188,188,191,177,127,123,141,136,121,164,131,94,85,132,96,81,143,122,66,84,109,69,162,181,173,173,172,186,187,190,192,188,166,160,131,135,110,140,135,88,69,121,107,63,133,119,59,103,102,82,182,179,176,174,172,187,187,190,191,194,182,157,126,105,104,126,132,94,67,85,85,37,49,63,75,119,87,103,190,178,178,175,173,187,188,191,191,195,184,138,111,91,81,96,140,129,88,55,50,87,96,92,137,130,72,129,192,179,179,176,173,187,189,193,192,195,180,154,132,103,91,89,139,142,100,73,99,147,150,135,128,119,60,153,190,179,179,177,175,187,190,192,194,194,192,171,140,103,89,86,125,127,96,81,136,154,150,139,100,88,65,179,183,180,179,178,178,188,192,194,195,194,189,175,142,113,99,89,111,147,144,147,169,157,140,126,92,55,120,195,181,180,179,178,178,190,193,195,195,194,187,177,151,127,105,94,112,173,181,183,174,149,128,116,75,65,184,188,184,182,180,180,178,191,193,195,196,195,185,172,153,128,103,102,123,179,173,167,159,134,117,105,54,130,198,185,185,183,181,180,179,192,193,195,196,196,180,165,158,132,108,109,132,172,164,162,146,123,110,83,68,188,190,188,186,185,182,180,179,192,195,197,196,200,186,169,164,134,116,111,137,163,163,157,135,113,101,56,131,202,186,187,187,185,184,181,179,192,194,195,197,198,197,177,169,144,125,107,133,157,152,144,123,102,76,67,192,194,190,188,188,186,185,182,180,192,195,195,197,198,198,187,172,146,126,110,124,146,137,125,105,86,46,146,203,191,191,188,188,186,184,181,180,192,195,195,197,199,199,190,167,145,124,114,118,134,126,108,93,53,110,207,194,195,192,190,188,186,185,182,181,193,194,196,197,199,199,190,163,143,128,123,118,125,122,103,76,71,194,198,196,195,193,190,188,187,185,184,182
24,159,162,163,165,166,166,168,168,168,168,169,168,167,166,166,164,161,160,158,158,157,153,151,151,145,144,143,140,161,165,167,168,169,170,169,170,171,172,172,169,169,167,166,167,165,164,161,160,158,156,153,152,149,146,144,143,163,166,169,170,171,172,173,174,174,175,174,173,171,169,169,168,167,166,165,161,159,158,157,154,151,149,148,146,166,168,171,177,173,175,176,176,176,178,177,175,175,173,173,171,169,167,165,164,161,161,160,157,155,152,151,149,165,175,164,137,178,178,178,180,179,180,180,179,178,176,177,175,172,171,169,168,167,163,161,159,158,156,152,150,166,183,149,72,135,188,180,183,182,182,182,182,182,180,178,178,175,174,171,170,169,167,164,162,160,158,155,153,170,177,139,87,70,179,183,184,185,184,183,183,183,182,181,179,178,176,174,171,170,170,167,164,162,160,158,155,171,179,169,110,51,134,196,183,187,186,189,191,183,184,183,179,178,181,181,175,174,171,169,166,163,162,162,164,174,178,183,141,66,75,192,187,188,189,168,168,193,188,186,189,186,166,161,183,176,173,171,169,168,159,130,112,176,179,184,172,113,56,137,201,189,173,120,79,157,172,116,116,164,130,77,131,186,173,172,172,160,134,87,82,177,180,183,188,147,73,63,190,191,156,142,108,76,121,92,46,82,127,73,42,167,181,175,162,144,108,67,153,178,181,183,190,170,98,58,134,202,147,163,136,83,74,100,59,87,127,78,36,156,188,163,130,127,66,92,175,179,182,185,188,189,151,102,81,176,127,150,154,104,55,96,74,98,131,77,49,175,187,113,103,105,39,136,175,181,185,188,189,193,186,118,82,121,122,110,159,116,72,61,60,92,129,67,76,201,154,84,108,78,64,173,168,184,186,189,192,193,196,150,138,122,107,85,126,129,77,39,35,52,81,44,56,190,100,86,110,52,136,181,168,184,187,191,193,195,197,191,164,122,80,59,61,128,99,71,24,13,38,26,21,75,76,99,83,62,179,173,171,186,189,193,194,196,196,200,165,99,78,68,53,100,140,120,43,0,38,52,79,87,95,104,55,110,189,172,171,186,188,194,197,197,199,201,171,140,116,72,59,91,136,105,52,32,69,110,117,113,90,80,42,159,185,177,174,186,190,195,196,197,202,199,190,165,123,73,64,85,124,104,112,105,103,119,115,107,79,32,79,190,178,179,177,188,193,196,196,199,204,201,186,179,140,103,75,59,115,161,156,148,132,123,111,96,54,37,172,185,180,180,178,188,192,197,198,201,203,204,184,178,150,118,79,66,106,169,167,160,140,120,103,83,22,131,198,181,182,180,178,189,193,197,197,202,204,207,185,163,145,128,88,83,118,161,155,144,127,107,92,47,68,197,185,186,184,180,179,191,195,197,199,202,204,207,192,154,152,137,103,89,120,144,142,138,113,88,67,28,164,195,187,187,186,182,180,192,195,196,200,203,204,204,207,175,150,137,113,79,101,129,128,122,93,71,23,115,203,187,189,186,184,182,181,191,196,197,200,205,205,204,208,196,165,138,109,73,82,108,105,94,71,27,94,204,193,192,189,187,185,183,181,191,195,198,201,206,206,205,209,202,164,132,98,83,85,99,95,75,34,54,208,196,194,193,190,187,187,184,181,191,195,199,203,204,205,207,206,199,168,136,120,111,103,104,96,61,17,146,210,195,195,193,191,189,187,184,180,189,194,198,199,201,204,208,199,192,181,159,133,108,114,108,83,40,48,198,198,196,194,193,190,188,186,183,179
0,203,204,207,208,209,211,210,209,208,209,209,208,208,207,207,206,205,205,204,204,202,201,201,198,199,197,196,195,204,205,207,210,211,213,213,212,210,211,210,210,211,209,209,207,206,205,204,205,205,202,202,200,200,198,197,197,205,206,208,211,212,213,213,213,213,212,212,212,213,210,209,207,205,208,207,205,205,203,203,201,200,200,198,199,207,208,210,211,213,215,215,215,214,213,213,212,210,213,210,226,206,179,203,210,206,208,204,203,202,201,199,199,208,210,211,213,213,215,215,216,217,217,214,212,224,207,210,255,215,170,142,190,176,187,210,200,203,202,201,199,210,212,213,214,214,215,216,219,217,216,212,228,250,219,214,255,219,172,136,203,174,131,167,140,180,208,202,202,211,213,215,215,217,218,218,216,219,231,195,241,250,223,212,255,232,159,192,233,168,104,130,112,175,211,203,203,212,215,218,217,219,220,223,212,242,255,216,236,255,220,193,255,238,159,160,206,151,100,139,116,193,209,204,204,215,216,219,220,220,221,221,217,251,255,249,208,255,228,167,220,215,154,118,176,129,127,172,115,188,210,203,206,217,218,218,219,220,223,218,230,240,255,255,186,240,213,143,173,196,150,114,174,122,172,195,119,170,215,204,207,218,220,220,221,221,223,219,239,230,231,228,165,203,192,126,120,201,143,108,185,132,210,204,123,174,216,206,208,218,220,221,222,223,224,218,250,249,217,210,145,175,195,123,96,207,155,112,120,185,233,188,116,188,216,208,208,218,221,222,222,224,224,227,255,216,176,203,164,141,213,134,105,190,214,214,145,199,224,164,115,203,213,210,208,221,223,222,224,224,223,237,255,230,182,163,173,139,195,147,166,231,240,221,194,162,185,151,127,215,212,212,209,220,224,225,226,227,224,240,255,236,202,172,164,205,211,228,243,239,225,198,180,163,141,136,131,217,212,212,210,222,225,228,228,230,223,252,255,243,222,207,188,212,247,255,255,240,218,193,171,155,129,114,139,221,211,212,212,223,226,228,229,230,225,255,255,251,237,218,200,228,255,255,255,243,213,192,166,142,123,108,187,221,215,215,213,224,228,227,229,232,226,255,255,251,231,212,204,233,255,255,255,244,212,183,155,133,110,138,224,218,215,214,214,223,225,228,228,232,226,255,255,254,232,211,201,228,255,255,250,235,205,171,141,122,109,194,223,216,215,215,213,223,225,229,229,231,225,244,255,249,231,218,206,231,246,238,223,203,181,159,134,114,180,225,218,217,217,215,213,223,226,229,229,232,227,241,255,234,236,227,207,228,239,223,197,173,165,144,123,185,226,219,220,219,217,216,213,228,228,231,231,233,230,242,255,237,238,224,207,221,236,212,175,154,147,123,185,229,221,223,221,218,217,216,214,227,228,229,231,233,230,248,255,255,230,213,211,209,221,191,151,142,120,176,231,224,223,224,223,220,219,217,214,226,228,230,228,241,224,220,255,255,229,214,215,196,206,169,138,120,154,231,224,226,224,223,222,221,221,221,215,225,227,231,226,252,255,203,231,255,222,216,205,190,193,148,119,107,206,230,223,223,224,220,221,221,216,201,189,229,231,235,228,255,255,255,162,255,253,238,224,200,189,151,119,113,217,231,232,228,218,225,228,205,180,186,179,174,175,173,165,255,255,255,170,173,255,249,233,205,183,161,148,133,149,162,153,158,210,233,220,197,138,209,193,120,121,106,155,255,255,255,194,119,255,237,217,193,174,155,140,136,127,105,125,209,243,220,194,207,125,178,211
2,51,60,72,93,102,109,116,120,122,126,130,133,136,140,142,144,146,147,148,150,150,151,152,152,151,153,153,152,53,61,76,94,103,111,117,122,124,127,130,133,138,143,143,145,148,148,149,152,153,153,154,154,153,155,155,155,54,63,78,96,105,112,120,123,125,130,130,136,136,127,140,145,146,150,153,157,155,155,156,157,156,157,156,155,55,64,81,98,107,114,121,124,126,130,137,173,161,139,136,129,131,146,141,140,156,158,157,159,158,157,157,158,58,66,86,100,108,114,120,126,132,121,152,174,169,179,177,152,122,109,123,101,104,156,162,158,158,158,158,159,59,67,87,101,110,117,116,165,171,158,160,149,133,130,147,171,147,95,66,104,137,119,149,162,159,160,160,160,58,68,89,101,112,112,140,192,163,168,177,176,162,123,84,90,146,126,75,73,124,74,119,169,159,161,162,161,60,70,91,102,113,113,174,147,124,135,143,134,146,156,119,112,101,128,138,114,65,94,154,161,161,162,162,162,62,73,92,104,109,127,161,156,156,147,127,112,140,136,142,148,104,66,122,117,67,153,166,161,162,164,164,164,63,73,95,105,116,169,170,173,163,155,149,144,148,92,65,92,69,89,94,80,107,164,162,163,162,165,165,163,64,76,98,101,164,176,146,133,111,86,93,96,81,64,47,56,133,164,157,151,165,163,164,166,165,165,166,165,63,79,94,120,191,139,94,71,49,44,46,46,56,54,46,65,165,159,163,167,164,168,169,162,162,170,166,166,64,81,89,163,168,111,76,45,34,47,45,43,53,52,41,56,161,162,162,164,171,146,113,102,98,132,170,165,67,76,122,194,127,84,56,44,42,42,42,49,48,42,36,41,156,165,164,171,125,85,96,106,106,79,155,171,70,73,165,177,108,79,65,55,41,39,44,47,43,42,48,31,128,174,171,132,86,113,123,122,100,83,163,171,70,78,171,155,102,78,64,46,35,38,43,48,47,48,49,43,66,172,163,86,114,126,120,98,101,153,174,170,68,84,171,147,103,73,50,37,36,37,45,54,55,55,59,65,54,67,111,97,119,117,83,114,174,175,171,172,70,87,174,144,98,64,46,42,37,40,52,57,63,69,77,83,82,42,82,116,106,78,71,170,176,172,174,173,69,91,176,143,108,77,56,45,36,42,54,67,78,85,91,93,95,68,98,110,91,57,116,184,172,175,175,174,69,98,172,135,109,79,62,52,40,42,55,78,93,96,100,104,107,82,91,110,84,66,160,180,176,176,176,175,71,97,166,132,109,83,70,62,46,44,61,91,102,107,111,116,109,92,78,110,73,77,181,177,177,177,178,177,73,95,158,131,109,93,79,66,48,43,67,98,108,112,113,116,105,87,79,74,73,145,184,178,181,181,180,179,74,93,150,128,111,98,80,65,52,46,70,97,102,107,105,105,96,80,63,103,167,185,180,182,182,182,181,180,77,88,143,131,110,96,78,63,54,55,77,91,93,92,95,95,84,59,109,188,181,178,182,181,181,182,182,181,77,86,140,137,111,93,74,67,62,62,85,87,88,88,88,81,61,97,175,176,175,177,180,181,181,182,182,181,76,88,153,138,109,91,81,76,70,64,81,79,79,77,63,75,123,176,177,177,178,180,181,181,182,183,180,179,72,132,153,145,114,95,88,79,71,59,60,62,60,65,115,160,179,174,176,178,179,180,181,181,183,179,182,189,95,166,112,138,120,93,79,71,61,54,52,53,42,77,177,171,171,175,176,177,179,180,180,182,181,184,183,187
7,199,199,200,199,198,199,199,200,199,198,197,196,193,167,193,190,176,162,153,147,133,120,109,77,58,33,70,169,201,202,202,202,201,201,201,200,200,201,200,199,197,186,192,195,178,157,132,123,104,81,68,49,43,29,81,174,203,203,204,204,204,204,204,204,204,204,202,202,199,189,195,195,184,167,131,104,76,57,44,35,31,37,83,177,205,206,206,207,207,207,207,208,207,205,202,202,204,193,192,194,188,183,178,164,138,98,61,41,44,43,84,178,205,206,206,206,207,207,208,208,207,206,205,206,171,175,196,193,186,187,190,184,182,139,81,58,55,49,86,181,208,207,207,207,207,207,208,208,208,208,210,196,127,145,202,198,190,189,193,183,183,142,65,64,62,57,80,179,209,208,208,209,209,208,209,209,209,208,214,177,144,201,177,189,190,183,192,185,176,125,68,68,70,66,49,98,212,211,211,210,211,212,212,212,212,212,210,175,212,242,190,141,176,179,182,176,159,113,76,71,75,68,38,50,214,213,214,214,214,216,216,210,201,192,194,223,235,226,229,182,140,161,173,169,153,123,89,78,80,69,33,50,214,214,215,216,214,203,188,173,163,148,111,105,134,159,170,160,135,123,139,152,149,128,96,86,83,67,52,133,217,215,205,194,179,167,165,161,157,144,101,76,92,111,115,112,116,115,100,100,114,110,100,95,82,66,83,168,189,177,167,163,163,166,163,158,154,133,98,87,87,96,104,109,112,113,98,84,97,88,95,93,88,73,117,126,167,170,172,170,168,171,170,171,162,141,103,83,92,102,106,104,110,107,92,84,88,89,98,97,124,106,154,89,175,173,173,169,172,176,177,173,166,148,100,75,90,104,115,111,111,107,99,93,87,101,93,92,110,105,100,37,173,173,177,178,175,171,171,165,157,128,86,84,94,99,103,104,104,102,100,91,90,106,97,93,91,104,114,88,182,181,177,175,172,173,172,166,161,127,76,73,72,68,72,77,84,88,86,90,86,91,90,86,86,92,107,95,181,181,176,174,174,176,166,163,173,146,75,59,60,57,88,98,89,136,156,121,118,77,77,90,80,78,69,65,170,172,175,170,169,167,159,166,169,133,78,65,68,64,65,77,90,111,124,100,86,96,103,100,49,59,81,58,162,162,168,165,160,158,155,158,152,112,73,71,72,71,66,66,160,165,109,82,80,109,156,63,15,28,91,106,157,156,156,159,158,155,154,156,154,104,64,52,68,76,68,89,142,81,95,78,81,110,103,24,56,48,90,142,153,155,151,155,156,154,155,155,153,103,59,44,48,65,60,68,90,67,75,70,75,84,78,89,91,80,100,140,155,147,138,140,138,137,139,138,123,90,60,53,62,71,69,68,121,75,122,107,92,77,116,77,61,65,95,131,136,138,124,112,106,106,104,99,79,71,71,108,103,88,95,78,102,98,137,70,54,45,115,88,70,76,70,102,116,121,110,96,88,91,93,91,117,169,175,174,140,111,101,95,65,62,117,54,68,41,67,107,67,81,60,71,107,106,121,131,138,144,181,154,168,176,177,150,166,187,187,103,71,64,86,84,65,52,111,74,64,83,58,67,153,109,201,228,207,176,202,117,172,149,174,182,175,176,191,141,63,109,79,71,53,108,188,107,67,88,67,62,155,118,173,206,209,191,188,102,156,124,163,179,174,174,175,166,116,159,153,95,34,131,176,122,112,154,96,61,127,133,184,211,214,217,184,139,95,109,163,171,161,140,152,158,169,153,168,121,44,123,151,117,145,175,134,74
20,142,144,145,144,146,145,145,145,145,145,145,145,143,145,144,141,140,138,137,136,134,132,131,129,127,127,125,123,146,147,148,148,149,148,147,148,149,148,148,148,152,136,133,146,142,142,141,138,137,135,134,132,130,129,127,126,149,151,151,151,152,152,151,151,151,152,152,150,167,134,95,151,147,144,144,142,140,139,137,135,134,132,131,129,154,155,155,155,155,156,156,155,155,155,156,153,162,145,76,88,121,152,146,145,144,142,140,138,137,135,133,130,158,158,159,159,159,159,159,159,159,159,159,157,168,142,63,95,88,144,152,149,147,145,144,142,140,138,136,134,160,161,162,162,163,163,163,162,162,163,163,160,173,131,60,136,95,121,161,152,151,149,148,144,144,142,140,137,164,164,165,166,165,166,165,165,166,166,166,163,179,137,71,149,98,104,165,155,154,152,151,148,146,145,142,142,167,167,168,168,169,169,169,169,169,169,169,167,185,132,72,153,121,100,166,158,158,156,155,152,148,149,146,145,169,170,170,170,171,171,171,171,171,172,171,175,187,110,76,164,130,92,165,161,160,159,158,156,152,151,149,148,171,173,174,173,174,174,174,174,175,174,164,178,190,109,96,178,124,83,166,165,163,161,160,158,156,153,152,148,176,177,177,177,177,177,177,176,177,176,157,145,160,123,94,170,130,83,166,166,164,164,162,160,158,155,158,132,178,179,179,179,180,179,179,179,178,181,192,177,137,112,88,153,145,94,163,170,167,166,165,163,161,158,159,144,181,181,181,183,182,182,182,181,183,173,151,177,147,149,96,126,136,91,158,175,170,169,167,165,162,161,160,149,183,183,183,183,183,184,184,185,183,188,132,103,156,164,85,71,96,77,153,179,171,171,169,167,164,162,161,152,185,184,183,184,184,185,185,186,185,193,137,49,144,160,110,68,65,59,144,183,173,172,171,170,166,163,162,161,186,186,185,185,185,187,185,187,186,186,140,81,105,150,138,98,92,48,131,187,174,173,172,171,168,165,164,163,187,187,187,187,188,189,189,189,181,179,148,121,72,81,136,121,103,47,111,191,176,176,174,172,170,168,165,163,190,190,190,190,190,190,191,185,181,165,163,149,104,78,103,128,109,59,91,193,178,178,177,175,173,170,167,164,190,190,190,190,191,191,189,181,164,116,127,153,127,80,80,121,142,91,65,178,184,179,178,177,174,172,169,166,192,193,193,192,192,194,189,180,172,129,62,108,123,64,63,103,153,126,59,122,194,179,179,178,175,173,171,169,193,194,194,194,194,196,192,180,161,134,91,66,100,70,65,144,168,148,74,84,193,182,182,180,177,175,173,171,194,195,196,195,196,196,194,178,175,163,100,73,103,94,113,183,171,133,64,97,195,182,182,180,178,176,175,173,196,196,197,197,197,198,198,176,180,166,112,91,110,169,189,179,149,118,47,133,196,182,183,181,179,178,175,172,198,198,197,198,199,200,199,176,172,161,129,92,112,191,189,162,127,102,52,166,192,184,184,184,181,178,176,173,197,197,197,198,198,199,201,175,158,154,130,96,109,178,169,145,112,79,68,189,188,185,184,184,180,179,182,181,197,198,198,198,199,199,201,183,158,154,131,111,112,176,166,133,99,54,102,201,185,185,183,181,186,183,162,125,198,199,199,199,199,199,201,196,162,153,139,119,102,163,152,114,78,47,163,195,186,186,189,182,157,98,51,46,198,200,200,200,201,201,202,198,172,156,139,116,96,128,119,85,47,84,199,188,188,181,146,92,51,36,32,42
12,179,181,184,183,183,184,185,184,185,186,186,185,186,188,186,186,187,186,185,186,186,187,185,185,185,184,184,184,183,184,185,185,186,187,187,187,187,188,188,189,189,186,189,191,188,187,187,187,188,189,187,187,187,186,186,184,185,185,186,187,188,189,189,191,189,190,189,178,187,203,179,168,187,192,190,189,190,191,190,188,188,188,187,186,186,187,189,189,190,190,189,191,188,218,203,170,150,224,197,154,143,198,190,192,195,191,191,191,190,190,189,189,187,190,192,191,191,192,193,192,196,243,223,191,132,200,227,180,113,177,187,158,175,198,192,194,193,192,192,191,190,191,192,194,194,194,195,192,201,244,238,201,142,163,240,195,144,107,181,155,113,182,198,195,196,194,193,192,192,192,194,194,195,197,198,194,205,234,241,207,158,133,231,202,167,100,149,167,95,133,208,195,199,197,196,195,192,193,195,195,196,198,199,195,209,220,230,222,173,116,198,210,168,116,94,149,103,124,211,198,199,198,197,196,193,195,197,198,199,200,198,199,200,181,210,222,199,158,138,199,156,102,59,106,100,133,211,199,201,199,200,199,196,197,199,199,201,194,203,227,173,144,167,190,200,157,95,116,119,67,91,133,85,149,212,200,203,201,201,201,196,196,200,203,198,213,240,215,144,120,127,118,157,121,89,103,141,118,165,148,86,176,209,202,204,203,202,201,198,199,200,198,212,245,223,187,144,122,86,80,101,143,134,150,189,215,190,129,85,197,213,204,206,205,204,203,198,200,202,201,234,215,191,198,166,138,89,84,89,88,101,123,174,223,229,206,145,122,198,209,205,205,205,205,200,199,200,206,233,206,178,203,177,140,101,78,99,101,98,91,179,212,231,210,171,126,117,212,207,206,206,205,201,199,198,224,230,202,163,188,192,181,140,85,102,121,110,178,220,209,202,182,173,165,106,188,213,207,207,206,200,203,202,219,243,218,180,134,187,212,157,98,98,125,176,227,220,209,194,151,157,149,107,200,212,208,209,208,201,202,203,213,242,230,202,153,139,172,202,174,101,195,235,219,211,198,183,148,129,110,124,219,210,209,209,210,202,203,203,213,243,237,211,172,167,145,157,154,175,242,234,221,205,190,169,142,112,85,164,220,211,212,211,209,202,203,204,211,235,238,223,185,181,174,133,166,236,236,236,217,189,176,150,136,99,93,205,213,211,213,212,211,202,202,202,205,227,232,232,204,189,177,170,165,230,234,231,206,172,156,137,131,87,130,223,210,213,213,213,212,202,201,203,200,215,235,236,222,200,181,182,160,215,232,215,195,156,135,140,121,79,173,220,211,213,213,212,212,201,202,205,202,199,237,238,224,204,185,178,169,197,226,196,173,142,128,144,103,92,210,214,213,212,212,212,210,202,204,205,209,197,225,225,203,193,183,178,176,181,200,180,150,135,136,132,84,143,224,212,213,212,213,213,213,202,204,206,211,200,219,215,188,180,178,179,171,173,181,169,155,132,129,108,96,205,217,214,214,212,213,212,212,202,206,206,209,203,215,212,190,190,190,183,170,167,182,178,149,115,113,85,165,223,213,215,214,214,214,214,213,203,204,207,207,203,211,219,202,200,195,187,179,163,188,170,125,105,90,116,219,213,216,214,214,215,215,214,213,200,203,206,209,206,209,228,205,208,202,190,188,154,183,151,119,103,84,184,223,215,217,216,216,215,214,214,213,134,137,138,145,141,183,237,216,213,211,196,189,150,171,145,122,90,99,201,203,205,207,210,212,213,214,213,213
2,204,205,207,209,208,209,210,210,210,209,208,208,206,206,206,206,204,203,202,197,199,198,195,192,190,188,186,185,207,209,209,211,211,212,212,213,212,211,211,209,211,213,212,211,210,210,209,207,199,198,196,195,194,191,189,187,210,211,213,213,213,214,214,214,214,213,213,214,199,187,192,190,180,173,163,181,211,200,197,197,195,194,191,189,212,213,213,214,215,216,216,215,217,215,217,204,176,168,173,172,158,133,110,97,156,205,204,198,197,196,192,191,214,215,215,217,218,218,219,217,219,220,208,178,177,182,170,172,178,125,117,131,134,136,170,201,198,197,195,192,215,217,218,219,220,220,220,221,222,222,210,195,184,162,146,145,133,71,79,111,121,84,79,192,204,198,196,193,217,217,219,221,222,223,223,224,225,217,209,200,177,142,113,92,107,154,178,144,117,90,137,207,201,200,196,195,218,219,221,222,222,226,226,227,221,196,194,175,134,74,46,109,227,224,222,222,215,208,215,206,203,201,198,196,220,221,223,223,224,226,228,228,217,192,177,128,74,52,41,171,232,215,216,214,213,213,207,207,204,203,200,197,219,222,225,226,226,226,228,228,215,193,133,68,48,36,91,227,221,221,218,216,214,211,211,215,212,205,201,199,221,223,226,227,228,229,230,225,218,190,124,50,48,30,151,238,220,223,221,218,215,217,208,174,165,199,204,201,223,225,226,228,230,231,231,220,217,181,118,51,60,46,145,239,222,224,223,219,219,210,142,101,87,147,212,200,224,225,227,230,231,233,230,220,212,171,92,56,70,48,160,240,225,225,223,224,218,150,116,118,93,141,215,200,224,226,229,231,232,233,228,223,211,161,97,79,68,48,189,238,225,227,225,225,159,112,124,107,93,195,209,204,225,229,230,231,233,234,225,223,210,167,111,84,64,45,134,249,230,225,235,177,91,101,114,81,147,221,207,207,226,229,229,231,233,237,224,220,207,163,115,84,62,62,63,128,210,239,184,118,93,92,86,88,215,212,210,207,227,229,233,233,233,236,224,218,198,161,125,82,62,64,72,65,98,141,96,99,113,86,76,187,220,212,212,208,229,232,234,235,236,235,222,217,199,162,116,79,61,64,70,81,86,77,81,98,88,89,199,227,214,215,212,208,228,232,233,235,238,235,217,224,213,157,116,86,60,66,72,76,88,93,83,89,84,204,229,215,216,215,212,209,231,232,233,235,237,231,215,232,207,150,114,87,62,66,74,78,87,95,85,58,183,236,217,218,216,215,213,210,231,234,235,237,239,226,220,230,194,141,114,91,63,66,79,85,89,92,66,144,236,223,222,221,218,215,215,213,231,234,235,237,241,223,221,222,184,136,116,92,63,68,83,89,93,72,92,237,227,225,224,223,220,217,214,213,233,234,236,237,239,221,223,210,171,139,118,90,63,69,87,84,84,50,182,241,227,227,225,223,221,219,216,215,232,234,237,239,240,219,215,193,160,133,110,86,62,69,85,83,50,124,245,230,230,228,226,223,221,220,216,215,232,234,236,238,236,220,204,187,156,129,107,83,63,70,82,52,102,237,234,232,230,228,226,224,221,220,216,214,232,234,236,239,233,217,192,178,145,121,100,80,66,62,45,110,235,241,233,234,232,230,228,224,222,221,218,215,232,235,237,237,234,211,189,173,142,116,94,77,52,69,173,243,240,235,235,235,232,231,229,225,223,221,218,214,231,235,236,233,230,206,185,167,144,111,88,64,47,195,255,236,237,239,235,234,231,229,228,224,222,220,217,214
1,152,155,157,159,163,167,169,169,170,171,173,174,175,177,177,177,178,178,182,180,180,181,180,180,179,179,180,180,155,158,161,163,166,169,171,173,174,174,176,176,178,176,180,180,187,183,162,184,183,182,181,180,180,180,181,181,159,162,164,166,169,172,175,176,178,179,180,180,180,192,165,171,203,187,127,183,187,186,183,184,183,183,182,183,162,165,167,170,173,175,177,180,181,182,184,182,187,210,145,159,207,173,129,185,170,178,189,186,187,186,185,186,165,168,170,174,177,179,181,184,185,185,186,185,197,206,137,167,207,162,133,195,164,143,195,189,189,189,188,187,168,171,175,177,180,182,186,187,188,188,195,177,186,200,137,173,209,154,141,206,166,134,196,192,192,191,191,189,172,175,177,180,184,187,190,192,193,192,211,166,157,186,142,179,213,161,152,210,160,134,198,195,195,194,194,193,175,179,180,183,188,190,194,196,196,198,217,153,156,176,150,178,205,156,155,214,161,135,201,199,198,197,197,195,178,181,184,187,191,192,196,198,199,203,208,143,160,162,142,162,199,149,164,218,165,140,206,202,201,200,200,198,181,184,187,190,194,196,198,202,203,206,213,151,162,168,143,162,212,153,178,213,161,146,211,206,205,203,202,201,183,186,189,192,197,199,201,205,204,209,211,150,154,181,153,163,213,152,187,217,161,151,214,208,208,207,206,205,186,189,192,196,199,201,204,207,206,215,220,163,147,172,140,155,193,140,199,218,165,160,218,209,210,211,209,208,188,191,194,198,202,204,206,209,209,216,227,167,136,158,140,161,175,158,205,205,157,169,221,211,213,212,211,210,191,194,196,199,204,207,208,212,211,218,224,171,162,193,183,192,196,185,174,195,151,178,222,213,216,215,214,213,192,195,198,202,205,208,211,214,213,224,232,196,171,170,205,217,225,193,142,167,141,184,224,217,218,217,216,215,194,196,200,204,206,209,213,216,214,231,223,181,159,131,153,178,194,212,175,124,121,199,226,219,219,219,218,216,195,198,202,206,209,211,215,218,216,235,218,179,148,139,143,154,192,232,210,146,115,214,225,222,221,220,220,219,197,200,204,208,210,213,216,220,218,239,224,178,154,157,161,190,207,226,230,176,125,212,229,224,223,222,222,222,199,202,205,208,212,216,219,220,222,240,220,177,154,163,168,218,228,213,212,180,129,194,234,224,225,224,223,223,201,204,207,211,215,217,219,221,224,239,220,184,161,172,184,236,234,211,181,156,123,194,235,226,226,225,225,224,202,205,209,213,216,218,220,223,224,236,222,187,173,167,197,243,231,197,170,139,120,209,234,227,228,228,227,226,203,207,210,213,217,219,222,224,225,232,219,187,178,166,197,240,218,185,160,128,144,234,230,230,230,228,228,229,204,208,211,214,217,219,223,227,226,228,218,194,188,170,189,230,203,175,148,118,181,241,229,231,231,230,230,230,206,208,213,215,218,221,223,226,227,226,215,198,194,173,186,224,193,165,137,122,213,238,232,233,232,232,231,231,207,209,213,216,219,222,225,226,229,229,221,200,194,167,180,212,183,157,127,139,236,234,234,234,234,234,234,233,206,209,214,218,220,222,225,228,227,231,225,201,188,156,172,188,162,148,119,175,244,235,236,235,234,234,235,234,205,209,213,217,220,221,223,228,222,234,227,216,187,160,174,175,155,136,134,226,238,236,236,235,236,235,234,234,206,209,213,216,220,224,225,225,223,235,228,218,192,170,175,166,151,121,188,242,235,237,236,235,236,235,234,234
11,166,169,171,174,177,177,179,180,181,181,181,180,181,180,179,178,177,176,175,174,172,172,170,169,167,166,165,163,168,171,173,176,178,179,181,182,183,183,182,182,182,181,181,180,179,178,176,175,174,174,173,171,169,168,166,165,170,173,175,178,181,182,183,184,184,185,185,184,184,183,182,181,180,180,178,177,176,176,174,173,171,170,168,166,172,175,177,179,182,183,185,186,185,187,187,187,186,185,184,183,178,176,181,180,178,177,176,174,173,172,170,168,174,177,179,181,183,186,188,188,187,188,187,188,187,187,186,189,174,134,175,181,179,179,179,176,176,174,171,169,175,178,180,182,185,187,188,188,188,189,189,189,189,188,187,194,176,113,157,184,181,181,181,179,178,175,173,172,177,180,183,184,187,188,189,191,190,190,191,191,190,189,188,195,174,117,150,187,183,181,181,181,178,177,175,174,178,181,184,186,188,189,192,193,193,193,192,192,192,191,189,200,183,126,149,188,185,182,182,181,180,178,176,174,180,182,185,188,189,192,194,194,194,194,194,192,193,193,191,206,189,131,142,189,186,184,183,182,181,179,177,176,182,184,186,188,191,193,194,195,195,195,195,194,194,194,193,208,179,122,141,190,186,185,185,184,182,180,178,177,183,185,187,190,193,194,195,196,196,196,196,196,196,195,195,209,172,117,145,191,188,187,186,185,184,182,180,178,184,187,190,193,195,196,196,197,198,198,199,198,185,158,174,208,169,119,153,192,189,189,188,186,185,183,182,179,187,188,191,194,196,197,198,200,201,191,167,173,171,131,118,177,146,108,163,194,191,190,189,188,187,185,182,180,188,190,192,195,198,199,197,172,173,181,136,101,154,138,91,99,101,95,178,195,193,191,190,189,188,186,183,181,189,192,194,196,198,203,200,157,113,166,141,93,152,136,87,75,81,108,193,195,193,193,192,191,189,188,185,183,189,193,195,198,200,214,207,173,107,148,144,93,141,122,83,72,77,116,197,196,195,193,188,183,173,171,180,184,192,194,196,199,208,223,210,172,107,115,128,86,129,117,80,65,68,113,199,196,195,190,178,167,146,132,131,157,193,195,198,200,216,211,194,169,108,89,116,86,147,131,89,60,72,117,198,193,197,191,157,130,111,104,94,108,194,196,200,201,220,222,196,159,99,103,133,96,176,165,103,69,87,115,180,192,187,144,96,89,120,142,138,149,195,197,201,202,225,225,196,147,115,127,182,121,169,164,94,86,118,134,169,178,143,93,99,165,192,193,190,188,195,198,201,203,226,221,187,160,149,126,203,132,102,136,119,132,135,132,145,128,91,110,181,197,195,193,190,188,195,198,201,202,223,219,197,175,148,136,169,129,133,169,165,147,130,114,108,85,102,186,200,197,195,193,191,189,196,200,203,204,218,219,204,182,166,176,187,188,172,163,153,138,123,97,81,96,177,203,200,198,197,195,193,191,197,201,204,205,213,214,200,178,156,158,172,177,165,157,139,128,111,79,108,180,204,203,201,200,198,195,193,192,197,200,195,199,210,208,193,160,140,152,165,160,153,140,127,114,87,120,193,207,204,202,201,200,198,196,194,193,196,192,113,91,178,192,179,155,154,159,159,149,136,117,98,92,138,200,207,205,203,201,201,200,198,195,193,191,198,149,68,57,106,167,184,180,171,153,148,130,103,77,110,179,207,208,207,206,204,202,201,200,198,196,193,191,188,98,63,64,64,98,153,167,158,142,130,110,80,82,189,213,210,208,207,206,204,202,201,200,198,195,194,192
6,207,207,208,208,209,209,210,211,211,211,211,210,210,209,209,209,207,207,207,207,205,203,203,203,202,200,198,199,208,209,210,210,210,210,212,212,212,212,212,212,212,212,212,212,210,209,207,208,207,205,204,203,202,202,200,199,209,211,212,212,212,212,212,213,214,214,215,215,215,215,215,214,213,211,209,209,208,207,205,204,202,202,201,199,210,211,213,213,214,214,214,214,216,216,216,215,215,215,216,215,214,213,211,210,210,208,207,206,204,204,203,202,212,213,214,216,216,215,215,215,216,216,215,216,217,217,216,216,215,215,214,213,212,210,209,208,207,206,204,203,215,215,216,217,218,217,216,216,216,216,216,216,218,217,217,216,216,215,215,214,213,213,211,210,209,207,205,205,215,216,217,217,217,218,218,218,218,217,217,218,219,219,219,218,217,217,215,215,214,213,212,210,209,207,207,207,218,219,219,219,219,219,220,220,219,219,220,221,222,222,222,221,219,219,217,216,216,215,213,212,209,208,208,207,219,219,219,221,221,221,222,224,223,222,216,214,219,220,219,218,219,218,218,211,213,209,210,206,206,223,213,206,220,221,222,222,224,226,228,229,225,218,202,187,202,214,219,217,219,215,207,206,208,206,207,203,206,225,198,204,223,224,226,226,226,222,218,219,221,218,209,172,161,187,198,200,198,194,189,187,184,184,183,182,178,180,191,211,224,221,220,220,219,213,211,214,215,214,210,173,136,132,132,147,156,163,166,167,175,182,187,189,193,204,214,214,217,213,212,211,208,204,204,201,196,191,180,154,138,133,123,147,194,210,215,216,218,220,221,219,218,219,218,216,216,208,202,197,196,198,198,193,191,196,191,153,130,132,142,143,169,214,228,225,224,223,222,221,212,191,178,177,213,204,194,190,191,192,195,195,199,209,208,166,131,120,135,144,138,150,207,227,225,224,224,215,162,132,128,125,211,202,192,184,181,184,191,197,202,202,189,166,144,138,134,133,137,134,168,227,226,224,226,185,131,129,126,122,212,206,196,188,183,183,185,189,201,204,176,149,146,150,149,140,132,128,171,225,225,225,213,155,125,119,117,117,209,205,199,192,188,187,185,184,190,202,185,147,123,140,158,158,142,129,195,228,224,213,151,123,108,95,86,76,204,204,202,197,191,190,190,190,198,205,179,149,136,133,139,150,152,138,171,186,163,142,115,107,95,82,73,65,188,203,207,204,197,193,191,189,192,198,180,157,150,152,144,136,138,135,130,128,123,111,102,93,85,76,68,66,124,181,206,202,197,195,189,184,177,175,170,158,165,165,157,150,134,110,104,114,115,107,100,91,80,73,65,62,61,98,169,186,179,175,169,168,166,153,139,124,140,154,163,155,131,97,82,99,103,97,95,95,87,73,63,60,53,53,84,165,192,195,200,207,216,208,137,121,123,140,148,130,125,99,77,79,94,91,88,93,93,77,65,58,43,39,104,190,202,202,205,207,208,209,189,168,160,150,123,100,122,97,71,66,79,85,83,87,94,84,66,58,35,40,112,135,135,136,139,139,141,143,145,145,154,145,104,89,117,95,66,64,71,76,78,83,91,87,68,59,36,38,109,129,128,127,128,128,128,127,127,136,143,132,94,83,110,89,63,62,69,71,72,76,84,85,71,60,37,39,121,135,133,133,133,130,130,132,136,130,114,106,92,78,104,83,63,56,64,67,69,72,78,83,76,63,27,52,132,135,135,134,135,135,135,130,121,110,105,94,88,77,97,79,63,57,59,62,65,69,75,81,77,65
3,125,133,139,143,146,149,153,156,158,161,161,162,164,165,165,165,168,167,165,166,165,165,165,164,164,163,162,161,129,137,143,146,150,154,158,161,163,165,166,168,168,169,169,174,147,162,172,169,170,170,169,168,167,166,165,164,133,141,147,149,153,158,161,165,167,169,171,172,173,173,174,180,120,123,183,173,175,174,174,173,172,170,169,168,137,145,150,154,158,162,166,169,172,174,175,175,177,178,179,179,120,94,178,178,178,179,177,177,176,174,172,171,139,148,154,156,161,166,170,173,175,177,179,180,181,181,182,186,123,82,167,185,181,181,180,180,179,177,176,175,142,150,157,160,164,168,173,177,178,181,182,183,184,185,185,190,133,79,155,193,183,184,184,183,182,180,180,179,146,153,159,162,167,171,176,180,182,184,184,186,188,188,187,205,152,82,138,199,187,188,188,187,185,184,182,181,148,155,162,165,170,174,178,182,184,187,188,189,189,191,178,182,141,76,125,200,189,191,191,190,188,187,186,185,151,159,165,168,172,177,181,185,186,189,191,194,193,215,190,141,103,88,118,200,193,193,193,193,192,191,189,188,154,161,167,170,175,180,184,187,188,191,194,185,161,200,214,166,95,140,128,190,199,196,196,196,195,194,192,190,155,163,168,172,178,182,185,189,192,191,207,199,164,156,222,176,143,184,100,162,207,198,199,198,197,196,194,193,158,165,170,174,180,183,187,191,195,175,171,211,200,151,193,174,153,164,88,108,207,200,200,200,199,198,197,196,159,166,172,176,181,185,189,192,203,196,168,161,205,161,166,171,128,163,121,87,157,211,200,202,201,201,200,199,161,168,174,178,183,186,191,196,194,207,199,142,154,179,139,174,128,145,152,108,110,211,202,203,202,201,200,200,162,169,175,179,184,188,193,198,187,149,172,123,101,158,106,174,173,112,149,118,109,208,205,205,205,204,203,202,163,170,176,180,185,190,194,198,197,144,149,125,87,137,110,109,110,73,133,123,105,208,208,206,206,205,204,203,164,171,177,182,186,191,196,198,206,179,132,124,101,120,159,100,54,90,157,131,94,194,213,207,207,206,206,205,164,170,175,181,187,191,196,199,202,169,123,106,93,80,125,108,95,132,171,133,88,179,218,208,208,208,207,206,165,170,175,181,186,190,195,198,202,191,152,114,94,83,96,151,166,168,151,119,95,190,215,208,208,208,208,207,165,171,177,182,187,191,195,198,206,199,160,121,114,120,132,203,209,181,146,103,108,208,210,208,208,209,206,203,167,174,179,183,188,191,196,199,203,201,174,141,129,123,144,205,201,167,139,98,128,220,213,210,212,192,174,201,161,169,176,181,187,193,198,203,206,200,178,150,130,126,139,197,195,157,127,93,150,213,194,197,195,159,156,202,110,111,115,119,124,128,131,137,141,185,182,152,142,142,129,189,187,150,116,92,145,192,168,154,188,127,162,192,106,107,109,110,109,109,110,111,103,146,186,161,150,148,123,168,173,137,105,100,170,162,174,150,160,116,179,182,108,109,110,112,113,114,118,120,114,127,189,167,148,143,114,135,150,113,95,137,176,154,159,165,126,125,186,178,108,110,111,110,113,113,113,116,108,162,211,167,144,130,107,115,118,100,106,158,170,154,155,156,116,153,178,178,107,109,111,111,113,113,113,115,110,185,208,165,142,121,110,112,108,90,143,155,142,154,149,141,139,160,174,179,106,108,111,111,110,112,113,112,117,187,195,165,145,132,118,108,100,91,171,159,112,148,150,142,156,153,183,174
4,190,192,192,193,193,191,192,192,192,191,190,191,191,189,187,188,190,189,186,185,185,184,184,183,182,181,179,179,193,193,194,195,195,195,194,194,194,192,190,193,191,194,196,187,175,177,189,187,186,186,185,184,184,183,181,181,194,195,196,197,197,197,196,194,193,198,205,203,185,167,197,221,192,148,139,197,191,189,185,185,185,184,183,182,197,198,199,198,198,199,196,199,202,170,197,213,189,137,114,190,189,141,98,144,170,175,191,188,186,184,185,183,198,198,199,200,200,195,210,222,191,146,114,190,171,126,90,148,164,119,98,85,129,123,138,193,186,185,185,185,199,200,199,201,200,199,234,228,179,146,96,173,164,125,84,127,151,120,93,94,125,107,89,185,191,188,186,186,201,201,200,203,200,209,230,224,190,200,117,138,193,171,83,108,175,153,99,108,133,105,89,181,192,189,188,187,201,202,202,203,202,209,234,204,211,225,139,113,218,177,85,93,191,160,95,114,172,136,103,184,194,190,189,188,202,203,203,204,204,204,235,215,203,177,120,99,165,143,96,92,133,140,70,110,204,149,120,194,193,192,190,190,204,204,204,205,203,209,246,237,213,181,148,129,103,99,104,122,166,174,109,102,160,127,148,201,193,192,191,190,206,205,206,209,201,224,252,226,198,183,165,154,139,151,158,174,207,168,131,109,106,85,178,201,196,193,193,192,207,207,207,210,202,235,241,205,175,153,163,219,189,195,210,181,190,156,148,120,107,100,188,199,196,195,195,193,207,209,209,210,206,243,239,208,183,159,157,213,190,193,202,192,176,172,169,133,96,91,185,201,195,196,195,193,208,211,211,209,212,252,241,213,187,163,141,157,165,162,176,159,153,197,189,148,107,86,180,204,196,197,196,195,211,212,212,208,220,253,234,214,184,149,138,128,112,116,155,122,138,208,201,156,120,88,170,208,198,198,197,197,213,213,214,209,229,252,235,214,174,148,150,143,124,146,209,204,168,206,213,155,130,89,160,210,198,198,197,196,213,214,216,210,232,250,236,211,172,154,161,145,129,213,235,220,206,185,202,162,138,99,143,213,199,200,199,198,215,215,217,211,237,250,228,189,171,170,162,133,183,241,236,221,198,190,168,153,135,104,153,212,200,202,199,198,216,216,217,213,241,246,217,187,197,171,146,148,235,242,237,217,189,174,157,133,124,98,187,207,202,201,200,199,218,218,216,222,248,241,214,202,200,166,134,194,247,237,223,205,184,162,148,127,106,110,208,203,204,203,200,200,218,217,227,177,233,244,213,204,206,158,167,220,244,225,209,195,178,155,134,120,84,161,214,204,205,203,202,201,218,225,207,98,129,227,221,208,199,148,179,219,232,211,200,189,166,141,125,101,106,209,207,206,207,205,203,202,223,220,123,102,94,114,189,205,175,143,161,213,215,197,185,174,152,130,113,85,178,217,208,209,209,207,205,204,232,150,95,103,104,92,101,141,144,127,149,184,196,181,169,156,137,119,86,131,220,209,210,210,209,208,206,205,174,105,110,97,92,99,94,88,92,116,140,157,173,161,150,133,120,92,98,211,215,211,212,211,210,209,206,204,107,106,106,94,93,92,91,98,79,84,111,128,144,129,116,109,94,85,190,221,213,215,214,212,211,209,208,207,110,105,95,94,90,91,89,92,90,53,67,78,92,92,80,75,81,183,225,213,216,215,215,213,211,210,209,208,104,98,93,93,88,87,85,86,96,67,48,62,61,62,64,46,129,234,215,217,217,216,216,215,213,211,210,208
0,180,182,186,188,190,191,193,197,196,193,194,195,195,193,195,193,191,191,191,190,187,185,185,182,180,181,179,177,181,184,188,191,192,193,194,197,196,195,197,198,198,196,196,193,193,193,191,190,188,185,185,185,186,183,181,179,181,185,189,190,193,194,195,199,199,199,199,199,197,197,198,201,200,192,193,199,192,188,187,182,170,182,183,182,184,185,189,191,195,197,199,200,200,200,201,203,205,201,197,177,182,206,186,158,187,193,195,190,108,163,189,182,184,187,192,194,196,198,199,201,205,203,201,186,164,193,179,115,76,137,149,87,78,185,205,181,81,165,191,183,185,190,193,195,197,200,201,196,183,207,205,152,86,76,139,119,82,34,92,112,46,121,208,158,73,175,191,186,188,192,195,199,200,199,202,186,111,103,186,147,102,45,111,134,110,57,85,122,65,107,191,155,61,156,198,186,190,193,197,200,199,202,206,181,144,69,132,168,111,76,108,153,109,65,78,123,64,74,181,139,43,109,206,187,191,195,198,201,199,219,205,196,166,110,86,181,118,75,78,154,106,58,71,117,66,24,132,132,45,59,201,188,193,195,198,198,208,206,180,218,166,123,61,154,120,70,58,150,105,44,43,85,51,22,102,140,47,57,202,190,194,197,200,198,228,225,154,195,160,136,53,110,127,74,43,136,90,29,16,45,29,47,140,128,37,96,209,190,193,198,200,206,223,204,160,161,129,93,29,82,120,60,24,76,46,23,33,50,27,72,141,118,35,137,206,191,195,199,200,209,213,181,137,149,103,42,23,78,68,36,30,54,47,18,44,46,35,112,137,115,39,173,201,193,196,201,203,203,233,227,187,140,80,70,39,74,74,16,18,83,44,26,74,61,73,132,142,92,49,198,197,195,196,200,204,206,232,231,209,168,99,79,44,97,102,27,61,99,103,135,136,126,108,124,107,58,64,211,195,197,198,201,204,207,231,234,214,188,141,100,90,81,88,146,183,176,178,166,141,133,104,76,68,27,86,217,196,199,196,202,205,207,228,234,214,178,150,112,98,115,149,196,183,187,167,153,138,122,96,51,49,15,151,212,198,200,196,199,204,204,221,227,209,183,165,127,105,133,164,188,178,175,159,142,129,106,82,54,15,102,212,199,200,199,196,199,203,207,213,221,206,188,169,139,118,153,158,174,176,162,144,125,110,92,71,22,67,212,203,201,201,199,198,202,205,208,209,218,205,190,169,143,119,134,149,155,173,150,131,114,97,81,40,38,195,209,203,203,202,199,198,202,204,209,207,211,205,187,169,141,114,104,129,138,147,137,120,104,83,47,27,178,214,202,205,204,199,201,199,201,203,207,209,209,210,188,174,141,97,86,108,118,113,109,103,85,43,25,159,217,202,205,205,203,211,192,200,203,207,218,219,204,180,179,161,115,75,86,98,101,87,74,71,39,79,178,219,206,211,211,207,213,131,43,185,189,194,148,180,222,180,165,143,119,106,102,88,89,70,52,21,121,209,204,197,204,193,178,194,112,5,0,93,97,91,0,104,235,195,179,155,144,124,97,70,73,56,30,18,86,86,90,90,64,28,14,23,0,0,0,89,93,52,18,36,144,183,177,162,139,108,79,58,53,39,11,40,78,63,32,4,0,0,0,0,0,0,0,97,91,36,33,23,23,75,130,138,121,86,62,48,37,17,0,14,48,5,0,0,0,0,0,0,0,0,0,97,74,32,31,25,20,6,32,71,71,49,34,23,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,168,168,168,169,169,170,170,170,170,170,169,170,169,169,168,166,166,166,164,162,161,160,159,158,157,155,153,151,172,172,172,172,172,173,173,173,174,174,173,173,172,172,171,171,168,156,164,166,165,164,163,160,159,157,155,154,176,176,176,176,176,177,177,177,178,177,176,176,176,175,172,164,172,127,145,172,168,167,166,164,163,160,158,157,180,180,179,179,180,180,180,180,181,180,180,180,179,179,178,134,156,125,113,148,169,171,168,166,165,163,161,161,183,182,182,182,183,184,184,184,184,184,184,184,183,183,179,120,151,117,75,101,149,174,171,170,168,166,165,162,186,186,186,185,186,186,187,187,186,186,187,187,186,188,170,112,157,106,91,115,127,178,173,172,171,169,167,165,188,189,189,189,189,189,190,190,189,188,189,182,160,184,161,115,168,109,111,126,115,179,176,175,174,172,170,167,192,192,192,192,193,193,194,193,193,192,191,180,127,166,157,128,163,101,123,134,116,181,179,178,176,174,173,171,194,195,194,195,196,194,194,194,195,194,193,176,116,164,137,142,153,99,145,141,117,182,182,181,179,177,176,174,197,197,197,197,197,197,196,196,197,197,197,166,114,167,127,154,155,110,164,135,116,185,184,183,181,180,178,176,199,199,200,200,200,200,200,200,200,200,198,157,112,176,128,157,158,109,162,133,120,188,186,185,184,182,181,178,201,201,201,202,201,202,203,202,201,202,198,142,112,178,117,145,145,97,165,140,128,191,189,187,186,185,183,180,203,203,203,203,203,203,204,204,204,203,199,139,113,167,101,139,135,97,166,134,127,194,192,189,188,186,185,182,205,205,205,205,205,206,206,206,205,206,193,131,119,156,131,153,153,118,131,119,128,196,194,192,190,188,186,184,207,207,208,207,207,207,208,207,207,205,184,152,148,132,138,144,146,137,121,108,109,190,195,194,193,191,189,187,208,208,209,209,208,208,209,209,208,205,189,159,129,114,120,139,150,131,125,132,103,171,199,196,195,192,189,188,209,209,210,210,210,209,210,210,209,207,185,141,108,112,120,150,156,141,166,162,115,146,202,197,195,193,191,190,210,210,211,211,211,210,212,212,210,202,182,137,103,119,131,158,169,176,151,166,141,125,199,199,198,196,194,192,211,211,212,213,213,213,213,213,210,198,188,147,102,112,143,166,177,186,161,154,135,101,190,201,200,197,196,194,213,213,214,214,214,214,214,215,209,194,193,159,115,105,143,171,180,178,160,140,104,86,191,202,201,199,197,195,215,215,215,215,215,215,216,216,211,190,191,163,125,105,139,184,192,185,155,123,87,114,204,204,202,201,199,196,215,215,216,216,216,216,217,217,213,187,180,162,133,116,149,195,191,176,141,108,78,164,208,204,202,201,200,197,215,215,216,216,216,217,217,218,216,193,180,164,142,127,160,191,182,159,124,91,95,200,208,205,203,202,201,199,213,214,215,215,215,216,216,217,218,200,178,171,154,132,160,181,168,139,103,73,141,210,208,206,203,202,201,199,214,214,215,216,216,216,217,217,217,206,180,175,158,137,150,158,140,111,77,85,192,209,207,205,203,201,199,197,215,215,216,216,216,217,217,217,218,205,185,176,158,140,140,141,114,84,72,163,210,209,208,206,203,202,200,197,214,215,216,217,216,216,217,218,217,195,188,178,169,151,133,122,91,69,154,213,211,209,208,207,205,203,201,191,214,215,216,217,216,216,218,219,212,184,193,183,176,150,127,101,68,99,207,213,212,210,208,207,205,190,161,116
20,144,148,153,157,158,162,166,168,170,171,172,174,172,175,175,172,173,172,172,171,168,166,166,165,163,161,160,158,146,151,155,160,162,166,169,171,173,174,176,174,180,158,165,180,175,175,174,173,172,170,168,167,166,166,164,162,149,154,158,162,167,171,173,174,176,179,181,173,211,134,109,184,178,177,178,176,175,173,172,171,170,169,167,165,152,157,162,166,170,174,175,177,180,183,183,178,221,144,115,137,150,186,179,179,178,175,175,172,172,172,170,169,154,159,166,169,173,176,179,182,184,184,186,182,218,139,152,156,109,193,180,183,182,180,178,177,176,175,174,172,158,163,169,173,174,178,183,186,187,188,188,186,227,157,156,180,93,186,186,185,184,183,182,181,180,179,178,175,162,168,171,175,178,181,185,189,190,191,192,189,234,171,149,203,96,176,193,188,187,186,184,184,184,182,181,178,166,170,174,178,181,184,189,191,192,192,197,195,229,159,146,212,106,162,201,190,190,188,187,186,185,184,183,181,168,173,176,180,185,189,191,192,200,204,177,197,251,167,153,216,114,149,204,193,193,192,190,190,188,187,185,183,170,175,179,184,187,191,192,192,209,240,182,163,196,160,142,234,133,141,207,193,195,194,194,193,191,190,187,185,172,177,182,186,190,190,200,241,175,163,216,159,109,102,106,211,137,132,209,196,197,197,195,194,194,192,190,189,174,179,183,187,193,191,217,214,200,152,210,203,199,166,105,145,132,123,212,200,201,200,197,195,195,193,193,191,176,182,185,191,195,194,216,198,164,147,163,198,216,214,129,77,100,114,212,200,201,201,199,196,195,195,195,193,178,184,188,192,197,199,209,227,186,126,82,81,117,210,167,86,54,105,213,203,204,203,202,199,199,198,196,195,180,184,192,196,199,202,206,245,199,134,92,79,68,191,211,129,53,89,213,207,206,205,204,203,202,200,196,196,181,188,194,197,202,204,208,237,196,143,102,114,132,205,238,172,90,72,208,212,209,207,206,204,203,202,199,196,185,191,195,199,204,207,211,248,209,146,127,117,170,246,231,178,124,69,203,216,209,208,207,206,204,203,201,199,186,192,197,203,207,211,214,253,214,157,136,138,207,253,207,150,107,69,206,215,212,211,209,208,207,204,205,201,187,194,198,202,209,211,215,252,223,177,158,148,230,241,184,126,77,92,221,213,213,212,212,211,210,207,206,202,190,197,202,206,210,212,215,245,225,178,168,156,239,230,168,116,67,102,229,215,217,214,212,213,212,211,205,203,192,198,203,209,211,215,215,235,226,182,183,161,230,211,151,106,59,110,231,217,219,218,215,213,212,211,209,205,192,199,205,210,213,216,217,227,232,200,198,161,220,193,131,92,51,132,235,218,220,219,218,215,213,213,210,207,193,200,206,210,215,216,221,225,232,207,200,154,202,167,111,86,49,165,235,220,221,220,218,217,216,214,212,209,194,201,207,211,215,218,223,226,241,202,168,131,183,141,116,88,64,210,229,224,224,220,219,219,219,216,213,210,196,202,208,211,216,220,222,227,246,213,165,154,180,128,135,67,127,239,225,227,227,223,222,221,219,218,214,211,196,202,208,213,218,221,220,232,254,231,196,187,160,122,121,53,192,236,225,228,228,225,223,222,221,219,216,213,195,201,205,211,217,221,216,232,235,206,205,185,147,115,90,80,224,229,227,226,225,222,222,221,221,219,217,213,195,201,207,213,217,223,212,240,226,184,182,168,125,101,62,118,237,228,228,227,226,224,222,220,219,219,217,212
13,141,143,150,157,163,166,170,174,177,179,181,183,185,187,187,188,189,189,188,189,188,188,189,187,187,185,182,184,142,144,151,158,165,167,171,175,178,179,182,184,186,188,188,189,189,189,189,191,191,191,189,189,188,187,184,184,143,145,152,159,165,170,172,176,179,182,185,186,188,189,191,189,191,191,192,193,194,193,191,191,190,188,186,186,143,146,154,160,166,170,174,178,180,183,187,185,188,186,189,195,192,193,193,194,194,193,192,191,191,189,189,189,144,147,154,163,168,171,176,179,182,184,186,188,230,206,145,175,198,192,196,198,195,195,194,193,193,191,190,189,144,148,155,163,169,173,177,179,182,183,184,200,255,242,167,138,204,199,169,171,199,194,196,196,196,193,191,190,145,149,155,163,170,175,178,181,179,196,191,184,255,246,196,135,158,180,144,91,177,202,195,197,196,194,193,192,145,150,156,162,170,176,178,175,202,246,191,152,202,211,177,98,135,132,103,74,135,208,195,197,196,196,196,194,146,150,158,164,171,171,196,178,209,255,207,148,173,197,157,95,148,112,78,71,128,210,196,199,199,198,197,195,147,152,161,167,168,185,252,185,142,232,231,167,129,205,204,186,170,135,74,51,134,211,199,199,198,197,197,196,149,153,161,169,162,221,255,205,144,176,239,182,97,109,197,204,183,185,145,57,153,212,201,200,199,199,197,197,149,153,161,168,169,226,234,221,165,125,223,187,126,30,95,144,178,202,205,126,161,213,201,202,203,201,199,197,147,152,158,163,174,231,212,218,176,108,179,210,140,48,43,71,163,231,231,199,121,188,205,200,199,198,198,197,146,151,159,159,191,254,210,208,194,118,111,215,146,54,48,155,203,203,207,197,125,130,213,200,201,199,198,198,148,152,161,157,235,249,197,177,192,140,68,181,176,116,177,229,210,202,174,151,152,102,193,205,203,201,200,199,149,154,163,157,241,251,211,161,156,186,103,142,227,239,232,209,197,190,158,128,134,105,186,207,202,203,202,200,147,153,162,159,246,255,224,207,178,184,207,228,247,246,215,196,194,164,139,116,98,140,209,203,203,203,202,199,144,151,159,161,249,255,236,222,205,186,216,243,243,236,205,179,169,146,132,95,105,196,205,202,201,201,200,198,148,155,163,160,241,255,243,221,204,188,208,238,237,217,186,157,145,144,113,94,182,215,209,209,206,204,204,204,127,128,136,122,209,255,245,229,207,195,211,235,216,180,164,151,149,128,93,101,142,138,138,135,134,134,132,133,91,92,98,79,148,255,243,231,212,204,208,226,203,164,146,154,142,107,92,88,83,81,81,80,79,78,77,76,101,104,105,98,116,246,235,230,213,197,198,224,205,154,131,135,114,94,94,96,97,93,91,91,90,89,89,88,101,102,104,105,100,226,226,230,221,199,192,219,199,136,118,114,96,93,96,93,93,95,93,91,90,90,90,88,105,105,104,107,92,207,229,235,231,208,185,211,197,132,114,102,92,97,96,93,93,93,94,92,91,92,90,88,106,108,107,110,90,192,239,245,241,220,181,200,201,139,109,92,92,99,96,94,92,93,93,91,90,91,89,88,104,106,107,111,94,162,250,248,242,218,181,190,202,141,104,87,93,100,97,95,93,95,92,90,92,91,90,81,105,106,105,106,102,124,241,236,213,198,179,182,193,142,104,84,95,99,96,95,94,98,93,89,92,93,80,164,105,105,107,107,107,105,229,231,191,189,193,172,180,147,105,83,92,100,97,95,95,99,92,90,92,82,134,240
4,239,239,240,240,240,241,240,241,240,239,240,241,239,239,240,238,236,232,234,233,233,231,229,228,226,225,225,223,241,242,244,244,243,244,244,243,244,243,242,243,246,242,241,241,241,243,239,236,234,232,232,231,229,228,227,225,248,247,247,247,247,248,247,247,247,248,246,244,241,249,247,236,201,188,236,243,242,241,235,234,234,232,231,229,250,249,249,250,250,249,249,249,249,248,247,228,194,196,246,239,199,143,174,240,193,206,241,237,236,235,233,231,253,252,252,253,253,252,251,252,252,251,255,255,226,184,169,232,224,174,123,193,184,127,191,251,235,238,236,235,254,253,255,255,255,255,254,255,254,245,240,245,255,224,162,161,231,199,125,161,198,133,121,248,239,240,239,237,255,255,255,255,255,255,255,255,248,232,229,171,199,223,143,118,227,198,126,135,201,155,105,241,244,241,240,238,255,255,255,255,255,255,255,255,252,247,236,170,139,196,132,109,200,158,98,163,208,163,121,251,247,245,243,243,255,255,255,255,255,255,255,255,242,187,224,192,131,168,175,108,157,139,81,173,172,114,144,255,246,248,247,245,255,255,255,255,255,255,255,255,255,187,167,226,172,144,212,118,127,163,157,164,118,67,174,255,249,251,249,248,255,255,255,255,255,255,255,255,245,164,129,211,178,200,210,182,186,184,222,181,103,73,225,255,252,253,251,249,255,255,255,255,255,255,255,255,245,211,206,167,102,224,210,195,208,190,204,169,115,104,255,255,255,255,253,250,255,255,255,255,255,255,255,255,255,240,190,140,95,135,178,163,167,162,154,153,139,101,222,255,255,255,255,252,255,255,255,255,255,255,255,255,255,224,170,124,110,107,132,147,147,140,127,169,160,122,126,255,255,255,255,255,255,255,255,255,255,255,255,255,251,200,153,119,116,142,148,188,200,194,168,178,180,167,100,195,255,255,255,255,255,255,255,255,255,255,255,255,252,215,171,130,132,142,175,228,226,246,228,194,231,196,124,120,255,255,255,255,255,255,255,255,255,255,255,255,253,219,173,126,126,154,200,241,243,255,255,237,216,195,120,113,255,255,255,255,255,255,255,255,255,255,255,250,250,233,184,137,136,157,204,252,254,255,251,230,203,159,95,159,255,255,255,255,255,255,255,255,255,255,255,244,249,244,193,156,148,151,217,255,255,255,240,213,188,136,84,228,255,255,255,255,255,255,255,255,255,255,255,244,241,245,207,166,151,159,226,255,255,254,228,200,177,112,113,255,255,255,255,255,255,255,255,255,255,255,255,249,223,232,208,170,152,167,239,255,251,240,214,181,158,91,181,255,255,255,255,255,255,255,255,255,255,255,255,255,219,232,216,175,166,174,246,251,238,225,196,163,130,91,252,255,255,255,255,255,255,255,255,255,255,255,255,255,235,230,223,193,190,169,240,238,234,206,175,149,93,146,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,224,224,211,191,158,215,225,221,189,150,120,82,242,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,220,201,183,160,189,201,185,153,122,74,169,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,240,224,200,178,163,174,187,157,123,89,97,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,226,205,187,178,171,179,161,119,72,181,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,241,230,220,216,198,181,169,151,108,85,239,255,255,255,255,255,255,255,255
7,159,166,171,171,175,181,185,188,190,192,194,196,197,199,201,202,202,203,204,204,203,203,204,203,202,202,201,200,160,167,171,172,176,181,186,189,191,193,195,196,199,201,201,202,203,205,205,205,205,206,207,204,204,203,202,201,161,168,171,173,177,182,186,189,192,194,196,198,200,202,203,204,205,206,206,207,206,206,206,206,205,205,204,202,162,168,171,173,177,183,186,189,193,195,196,199,201,203,204,205,206,207,207,207,207,208,208,207,207,206,205,204,163,169,171,174,179,183,187,190,193,196,198,201,202,204,205,206,207,208,208,207,209,208,208,208,208,207,206,205,164,171,174,176,180,184,188,191,194,196,199,201,204,206,206,208,208,209,210,209,209,209,209,209,209,208,208,206,166,171,176,177,181,186,190,192,195,198,202,203,205,207,208,210,210,211,211,211,211,210,210,210,210,209,209,207,166,172,175,178,183,185,187,194,195,198,200,201,201,206,208,208,210,212,212,212,214,211,210,211,211,210,210,208,165,173,177,177,179,190,210,211,201,204,212,212,212,209,202,197,205,202,203,203,207,213,214,213,212,212,212,211,167,173,173,179,205,224,228,218,199,192,206,215,219,215,199,200,217,204,194,186,174,196,203,212,213,213,212,213,164,173,197,222,227,224,227,217,192,185,194,203,208,206,187,187,202,193,186,181,172,185,172,214,219,215,213,213,187,219,229,226,223,226,224,205,187,186,198,218,221,225,209,205,201,194,205,198,185,180,184,194,203,215,215,214,231,230,226,232,226,226,229,216,169,158,164,184,189,192,196,201,199,200,206,209,200,196,199,184,195,193,212,214,232,232,232,232,228,232,238,210,157,139,147,136,123,141,159,168,172,173,173,178,180,180,182,176,187,178,214,217,236,233,231,233,231,233,229,181,146,142,143,145,125,106,121,205,207,210,208,205,200,194,194,192,191,207,217,215,232,231,228,230,229,232,220,174,134,136,153,154,150,131,129,218,218,218,219,221,221,221,221,221,220,218,216,215,236,234,233,235,237,242,225,165,133,121,115,148,167,145,124,195,222,216,218,218,218,217,216,216,216,216,216,215,234,233,230,224,226,227,192,158,136,135,111,119,147,147,143,204,220,217,219,219,220,219,219,219,217,218,217,217,222,221,211,203,209,197,170,156,148,138,133,125,154,177,198,217,217,218,219,220,220,221,220,220,218,218,218,218,209,201,196,194,196,176,151,146,143,145,131,130,203,220,217,216,217,219,219,220,220,222,220,219,220,220,218,217,186,186,178,166,156,155,170,178,160,158,159,179,214,212,214,217,219,220,220,220,219,220,221,220,220,219,219,218,159,157,148,150,165,186,198,203,205,205,209,212,212,214,216,218,219,220,219,220,220,220,220,219,218,217,218,217,138,132,133,152,161,157,155,156,156,157,157,156,157,159,160,159,159,161,162,159,158,157,157,155,154,154,153,152,118,133,139,135,139,137,135,133,133,134,133,134,135,136,134,131,131,132,133,134,135,134,134,133,130,129,129,129,132,138,142,142,143,144,143,142,144,144,145,143,143,143,142,145,145,142,141,140,140,140,140,138,136,137,137,130,135,138,143,143,143,144,142,140,142,142,142,141,141,140,139,145,146,144,145,140,139,138,138,137,138,135,130,162,136,134,143,144,143,143,142,142,143,143,142,142,143,142,141,141,139,140,142,139,139,138,137,139,134,143,193,216,134,129,140,145,145,145,145,144,144,145,144,144,144,144,144,142,140,140,140,140,141,138,137,136,138,211,206,188
20,140,143,147,151,154,154,156,158,159,161,163,163,164,164,164,165,165,165,164,164,164,164,163,163,163,162,161,159,142,145,149,152,155,156,158,160,161,163,164,165,166,166,166,165,166,168,167,167,165,165,165,165,165,163,163,161,143,146,150,153,156,157,160,161,163,165,165,166,168,169,165,185,162,150,170,170,169,168,168,168,166,165,165,163,146,148,152,156,158,160,162,163,165,166,168,169,170,171,164,200,157,132,162,147,174,169,170,170,169,168,166,165,148,150,153,157,159,162,165,165,166,168,170,171,171,173,167,199,156,153,178,118,174,172,171,171,171,170,169,167,149,152,155,159,161,163,166,167,168,170,172,172,172,174,169,205,170,155,194,119,168,175,173,173,173,172,170,169,150,153,157,160,162,165,167,170,171,172,173,173,175,176,172,211,170,157,205,131,164,178,176,176,175,174,172,171,152,155,158,161,164,166,169,171,171,173,175,175,174,174,181,209,159,171,205,132,159,183,177,177,176,175,174,173,154,157,160,163,166,168,171,172,174,175,177,176,194,187,166,211,158,180,201,123,158,184,178,178,178,177,176,175,155,159,162,165,168,170,172,174,176,176,175,184,222,202,137,141,145,178,197,123,164,185,181,179,180,178,177,176,157,160,164,166,170,172,174,176,176,180,212,205,156,176,162,129,118,149,173,125,170,186,182,181,181,180,179,177,158,161,165,167,171,174,176,178,174,197,206,200,184,162,186,194,157,110,134,119,174,187,183,182,182,181,179,178,160,163,166,169,172,175,177,179,176,200,183,127,160,111,148,203,170,113,102,106,176,187,185,184,184,183,182,181,161,164,167,170,173,176,177,181,177,203,175,121,112,91,90,177,199,143,98,98,175,189,187,186,185,185,184,182,161,164,168,171,175,177,179,182,179,205,196,169,134,111,107,139,220,175,111,91,177,192,188,187,187,186,186,183,163,165,169,173,175,178,181,183,180,213,207,155,125,118,132,140,221,198,135,88,170,194,189,189,188,188,187,185,164,166,171,174,176,179,182,184,182,214,196,150,132,135,141,174,224,202,154,97,164,196,189,190,189,189,188,186,164,167,171,174,176,180,183,185,184,215,205,166,148,150,157,209,224,193,158,101,164,198,191,192,190,190,189,188,165,169,172,175,178,180,184,187,184,215,212,179,151,163,179,224,221,186,151,105,165,201,192,193,191,191,191,189,165,168,172,175,178,181,184,188,185,213,219,188,162,167,198,224,211,182,147,103,167,201,192,193,193,192,191,191,165,169,172,176,178,181,185,188,184,211,222,190,179,170,208,222,199,177,140,98,164,201,192,193,192,191,192,190,168,172,175,177,179,183,186,190,187,205,223,198,195,181,202,217,191,171,139,91,163,202,193,194,193,192,193,189,168,171,174,176,181,184,186,190,189,197,221,206,201,193,184,202,175,165,130,88,166,204,194,196,196,193,194,197,168,171,175,178,181,183,186,190,191,190,216,215,201,183,167,181,159,164,127,89,182,201,195,197,195,200,194,160,171,173,177,181,183,185,187,191,199,198,216,214,190,160,145,164,157,160,113,102,201,198,196,196,202,182,120,88,161,166,171,174,179,183,188,186,152,129,201,204,168,145,136,168,156,149,88,147,216,202,203,207,180,108,89,83,116,118,120,121,123,125,127,134,77,16,163,211,175,143,143,181,141,123,73,89,149,153,154,157,107,81,80,71,94,98,102,103,100,99,100,113,120,70,112,194,171,145,159,181,116,98,53,28,81,100,101,109,90,68,64,66
12,79,85,96,111,118,125,131,136,138,141,144,147,150,152,155,157,159,161,162,163,165,165,166,167,167,167,167,167,80,85,97,112,120,127,132,137,139,142,144,147,151,154,156,158,160,161,163,165,166,166,167,168,168,169,168,169,81,86,98,112,121,129,134,137,140,144,145,148,151,155,157,161,153,159,165,167,167,168,168,170,171,171,170,170,82,88,101,115,123,129,134,138,142,146,152,159,131,130,162,168,125,114,159,162,163,170,170,173,172,173,172,172,83,90,103,117,124,131,136,140,145,145,177,175,137,109,145,170,132,95,114,126,115,152,174,173,174,174,174,173,84,91,104,118,125,131,137,141,146,147,196,187,152,120,128,171,144,114,87,118,100,106,168,175,175,175,176,176,86,93,107,120,126,132,138,142,145,154,200,203,167,127,123,175,149,120,80,111,111,87,147,178,176,176,178,178,87,94,109,120,127,134,140,143,145,166,179,195,177,130,115,177,149,115,77,107,110,87,153,179,179,178,179,179,88,95,109,121,129,136,139,143,153,171,169,161,162,119,97,156,142,105,74,108,105,91,165,180,180,180,180,180,88,96,111,121,129,135,151,189,193,142,107,108,138,103,80,122,112,89,76,105,98,100,175,181,182,181,181,181,89,98,114,122,129,135,183,213,177,125,98,77,121,102,74,105,101,84,75,97,92,106,180,182,183,182,182,182,90,100,114,123,130,141,191,172,155,128,107,77,106,123,80,100,122,96,84,119,106,112,180,183,183,183,184,184,90,101,116,124,130,152,187,145,140,137,113,86,65,89,64,79,117,95,89,135,117,87,134,185,185,185,185,185,91,102,117,124,130,161,183,145,122,135,113,95,50,40,60,87,98,93,113,120,99,79,95,177,186,186,185,186,91,103,117,124,130,166,196,159,127,114,101,85,46,56,99,137,145,137,135,120,103,95,103,179,187,186,186,186,92,106,120,126,130,172,197,162,138,106,87,80,66,90,140,166,168,156,140,116,104,95,128,187,187,187,187,187,93,107,121,127,131,173,193,169,145,114,99,112,110,143,172,179,174,153,129,112,95,90,158,188,188,188,188,189,95,108,120,128,133,167,186,165,143,119,115,124,124,171,179,179,172,145,121,107,91,109,182,188,189,189,189,189,95,109,120,129,135,157,183,161,140,123,119,115,129,168,171,175,162,134,113,101,90,144,189,189,190,189,190,190,97,111,120,129,137,150,180,157,142,132,125,123,144,163,168,166,146,123,106,94,99,174,189,190,191,191,192,192,98,113,123,130,138,144,173,161,152,148,135,129,148,160,161,147,128,111,99,90,126,187,189,190,192,192,193,193,100,113,122,131,139,142,165,169,155,146,133,123,131,146,145,128,109,100,95,98,165,190,190,190,192,194,194,194,101,115,122,131,138,144,158,177,151,140,126,114,112,123,122,112,99,96,92,133,187,190,191,192,193,194,194,194,102,115,123,131,139,145,153,183,162,138,118,109,112,114,113,107,96,93,102,174,189,190,192,193,194,194,194,195,102,115,123,131,139,144,152,184,174,142,121,119,124,114,112,109,94,83,129,188,190,191,193,194,195,195,195,195,103,116,123,131,140,146,164,193,187,153,138,132,129,114,105,99,88,75,140,191,190,192,193,194,195,195,195,195,104,117,124,132,139,163,186,183,200,161,146,134,126,111,99,90,84,71,143,192,190,192,194,194,195,196,196,196,105,117,125,133,141,191,198,161,188,165,150,132,121,108,91,87,82,73,151,192,191,193,194,195,196,196,196,196
23,207,207,208,208,210,210,210,211,210,211,212,212,212,212,212,212,211,211,210,211,211,209,208,208,207,206,204,202,211,212,212,214,214,214,215,216,216,216,217,216,215,215,215,214,215,216,214,215,214,212,211,210,210,209,208,205,215,217,217,219,219,220,221,221,222,222,220,219,220,219,217,223,223,219,219,218,218,217,215,215,213,212,211,209,220,220,221,224,223,223,225,226,225,224,233,222,224,229,224,189,213,232,222,222,223,221,218,219,218,216,215,214,225,225,225,228,227,227,229,231,226,233,255,239,226,247,230,191,152,210,235,226,226,225,223,222,221,220,219,218,229,229,229,231,232,230,233,235,229,255,255,219,147,168,157,187,188,166,194,234,229,228,228,226,226,225,223,221,233,233,234,235,234,236,237,237,239,255,246,203,128,207,217,197,165,142,155,239,232,231,233,231,229,228,227,225,235,236,237,237,238,239,239,237,252,251,250,179,195,251,200,235,229,213,232,242,236,236,235,235,233,232,231,230,238,240,240,241,243,243,245,243,254,246,251,255,255,237,145,193,255,245,245,243,242,241,237,237,237,236,235,233,241,244,244,244,246,238,224,230,235,246,249,246,239,228,145,128,224,249,244,245,245,244,242,241,238,237,236,236,245,247,246,248,244,218,188,199,212,215,210,209,203,187,145,77,93,218,255,246,247,245,244,245,244,242,240,238,247,248,248,247,251,241,237,224,230,221,205,199,176,114,105,79,68,191,255,248,251,249,248,248,247,246,244,243,249,250,252,247,246,253,251,239,213,158,154,162,158,99,101,77,85,238,255,252,253,253,251,252,249,247,246,245,252,253,255,252,234,236,255,238,157,124,73,132,174,99,103,77,131,255,255,255,255,255,254,254,252,251,248,247,254,255,255,255,233,228,255,234,139,82,61,164,180,107,98,59,153,255,255,255,255,255,255,255,255,254,251,248,255,255,255,255,234,225,255,241,169,90,90,150,116,96,80,64,132,255,255,255,255,255,255,255,255,255,254,254,255,255,255,255,231,228,255,247,170,116,64,57,53,63,72,82,124,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,223,245,255,246,174,134,78,50,69,77,88,89,149,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,225,248,255,247,184,140,112,88,106,105,106,92,165,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,230,236,251,228,171,141,128,98,113,113,112,94,194,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,226,232,210,179,172,136,103,113,113,112,102,244,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,231,230,209,186,173,132,108,114,122,101,147,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,249,248,229,206,175,149,123,113,117,119,110,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,213,189,150,119,110,111,112,234,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,218,197,142,108,108,95,203,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,238,219,203,172,115,100,102,114,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,221,204,199,187,111,106,99,155,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,225,201,217,220,120,111,99,175,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255
12,119,122,126,129,132,133,135,139,141,144,145,145,146,147,148,150,149,149,150,149,150,152,152,151,152,153,153,152,121,123,127,131,133,136,139,141,144,146,148,148,150,149,151,151,151,152,153,151,152,155,152,152,153,156,156,156,124,127,131,133,137,140,141,143,146,149,149,151,152,152,151,153,154,155,155,154,155,156,153,154,158,157,157,157,125,130,132,135,138,141,144,147,149,151,151,150,158,161,159,155,158,158,162,164,156,158,158,159,160,160,159,159,127,131,133,138,140,142,146,148,151,153,152,155,150,130,139,161,161,144,114,132,164,157,162,161,160,160,161,161,130,133,136,139,141,144,148,152,153,155,153,173,159,122,80,139,182,152,108,44,156,166,161,171,164,163,163,163,132,134,139,142,145,147,150,153,155,156,155,201,190,156,105,72,186,152,119,65,84,106,98,111,170,164,165,165,133,137,140,143,147,150,152,155,157,158,162,200,204,168,121,64,181,167,122,89,8,82,97,38,113,178,166,168,136,139,141,146,149,151,154,157,160,159,171,187,207,190,143,82,166,181,120,69,9,114,109,35,42,181,166,170,139,141,144,148,150,152,155,158,161,158,173,127,102,177,152,76,137,165,99,47,12,124,112,32,29,175,171,171,141,143,146,149,151,155,158,160,158,184,178,99,43,95,134,55,117,136,92,57,11,109,107,44,26,174,174,174,142,145,147,150,154,158,161,159,183,190,169,108,74,44,111,47,99,135,84,47,14,115,100,47,32,177,173,175,143,145,150,152,155,158,160,170,183,152,174,132,90,28,61,49,77,130,90,38,28,138,122,53,40,187,176,176,144,147,151,154,157,160,159,179,160,110,162,129,83,30,23,82,71,152,125,50,63,200,159,57,84,193,175,177,144,148,150,155,159,161,164,183,169,118,122,126,87,29,3,88,55,122,115,39,33,157,109,13,67,193,177,178,146,149,152,157,160,161,169,177,153,104,102,139,71,35,0,8,0,0,102,52,79,117,55,44,19,117,192,175,148,150,154,158,162,163,172,188,156,114,91,130,56,35,0,0,0,74,164,161,152,137,101,68,30,58,193,177,148,151,155,159,163,164,178,186,153,113,67,109,57,46,0,0,56,162,168,158,138,120,86,54,23,83,195,178,148,151,155,158,163,161,178,185,156,129,83,67,72,63,0,30,146,177,181,164,126,107,78,46,17,127,196,181,150,154,156,159,164,162,179,185,162,141,123,82,58,47,56,110,189,181,193,157,114,96,69,41,23,159,193,184,151,154,158,161,165,166,180,187,173,148,133,126,93,78,110,127,189,190,191,144,101,85,57,28,60,187,186,186,153,155,158,161,165,167,176,186,176,156,141,137,126,93,99,116,193,192,167,132,93,71,51,18,119,198,185,186,153,156,160,163,165,167,172,176,170,162,148,137,125,102,87,125,194,184,145,117,86,59,41,23,165,192,186,187,153,157,163,166,167,170,171,169,167,164,146,139,124,104,81,127,172,166,122,98,73,49,26,53,194,185,187,189,153,157,162,165,168,169,174,172,172,171,148,139,126,105,77,123,153,135,103,81,60,45,15,117,202,186,190,190,154,157,160,163,165,167,170,172,177,165,143,131,118,93,70,120,132,100,85,61,48,32,45,183,190,190,191,190,154,157,159,163,166,168,170,169,179,155,126,116,93,70,76,112,115,85,75,51,43,24,125,194,185,187,189,190,154,157,159,163,167,169,167,167,184,150,129,115,79,73,84,111,107,82,66,48,29,71,191,184,186,188,191,190
3,114,129,139,141,149,157,160,166,171,174,178,180,182,185,186,185,190,178,188,188,189,190,190,189,189,189,190,190,115,131,140,142,152,161,163,168,172,176,181,185,186,187,189,187,224,143,158,197,189,190,190,189,188,188,189,190,118,133,141,144,155,164,168,172,176,179,184,188,191,192,194,191,240,153,113,202,196,194,194,190,191,190,190,189,122,135,142,147,156,167,172,177,181,185,188,194,198,198,199,192,248,169,92,209,188,195,197,195,195,194,193,191,126,139,145,151,161,171,175,181,186,191,198,197,200,206,206,213,219,148,88,237,156,164,210,199,199,198,198,197,131,144,150,154,165,175,178,185,190,199,195,203,215,184,227,255,223,207,149,215,183,112,218,204,204,203,203,203,135,147,153,161,171,179,185,188,189,186,225,255,255,186,125,163,227,246,197,123,185,105,158,223,209,208,208,207,140,152,158,167,176,183,186,228,225,185,231,201,221,235,196,54,111,175,103,81,153,152,103,175,223,213,214,213,145,157,162,170,183,183,223,229,196,205,167,99,91,210,227,102,112,119,77,161,169,168,118,123,232,218,220,218,149,161,166,175,186,195,243,159,87,161,88,78,45,68,118,73,90,63,54,200,216,215,136,125,235,223,225,224,151,163,169,177,190,202,249,181,101,173,138,127,86,100,81,54,63,66,62,205,254,236,147,129,241,227,229,228,156,165,171,183,196,200,255,205,141,189,214,183,145,126,107,100,88,82,67,180,255,236,147,136,245,230,233,232,160,170,175,187,202,203,252,235,197,175,174,129,132,143,141,153,116,134,123,171,255,227,132,134,249,234,238,236,164,173,178,190,205,209,255,238,180,154,149,131,140,153,176,170,185,212,242,239,220,188,118,129,253,239,242,241,167,177,182,195,208,212,255,238,173,140,134,144,151,172,196,208,241,248,255,240,185,135,114,123,254,243,244,244,170,180,186,199,212,214,255,254,201,154,135,160,161,181,225,234,248,255,254,218,159,117,93,145,255,247,250,250,175,183,190,202,215,217,255,255,224,181,143,141,160,202,238,243,255,255,248,199,141,106,77,225,255,252,253,252,178,185,191,205,218,221,247,255,245,210,169,141,161,197,235,255,255,255,229,176,137,76,139,255,254,255,255,254,180,187,195,209,220,226,241,255,255,228,191,165,165,183,227,255,255,255,210,154,116,71,223,255,255,255,255,255,185,189,199,212,222,232,238,255,255,248,206,193,186,181,220,255,255,236,187,138,88,108,255,255,255,255,255,255,187,193,203,214,227,235,236,255,255,255,231,211,198,178,232,242,249,208,157,120,65,185,255,255,255,255,255,208,190,197,206,218,230,238,241,241,255,255,246,225,207,175,221,233,218,176,130,89,85,255,255,255,228,154,79,37,193,199,209,222,232,241,247,238,247,255,248,232,208,175,173,216,188,148,114,62,189,255,180,103,50,28,28,25,197,201,213,224,234,242,247,248,239,255,249,232,209,177,154,187,180,135,94,106,227,101,33,23,29,24,27,17,201,204,215,227,237,245,248,253,238,255,244,221,202,167,150,165,160,125,84,108,87,37,48,15,13,37,18,9,203,207,217,229,238,246,249,253,245,255,220,195,193,165,156,151,138,124,87,37,18,34,59,18,0,26,34,2,199,205,216,230,239,244,249,255,237,255,239,211,215,190,162,150,129,124,73,40,21,1,48,37,0,3,39,22,200,207,219,231,241,246,250,255,229,255,255,236,240,196,168,150,124,121,63,34,36,0,14,49,4,0,19,35
3,180,182,184,186,189,191,192,192,193,193,193,193,193,192,192,188,204,205,134,174,190,186,185,183,181,180,179,177,181,185,186,187,190,192,193,195,196,196,195,194,195,195,194,190,207,195,122,151,196,187,185,186,183,182,180,178,183,186,188,189,192,194,195,197,198,198,198,197,197,196,196,192,207,186,123,143,198,188,187,187,185,182,181,179,184,187,190,191,194,196,198,199,199,199,199,199,198,198,197,194,207,188,123,140,198,189,190,188,186,185,183,181,186,189,191,193,195,198,200,201,201,201,201,201,201,200,199,195,210,208,140,134,196,191,190,190,187,186,184,182,189,191,193,196,198,200,201,203,204,204,204,204,202,201,201,196,215,212,140,127,195,193,191,191,188,186,186,184,189,193,195,198,200,202,204,205,205,205,206,205,204,204,203,197,219,203,132,125,198,194,193,192,190,187,186,186,191,194,198,200,203,205,206,207,208,207,208,207,206,206,205,199,220,202,134,127,201,197,195,193,191,189,187,186,193,196,200,202,204,206,208,209,210,210,210,210,209,207,206,203,229,200,136,126,201,198,197,195,193,191,189,187,194,198,201,204,206,208,210,211,212,213,212,212,211,208,209,200,187,165,117,125,205,198,198,197,194,191,189,188,195,200,203,206,208,211,212,213,214,214,214,213,211,214,232,194,134,106,88,143,210,199,200,198,195,193,191,189,197,201,205,207,211,212,214,215,216,216,215,212,211,195,192,197,157,122,74,179,212,201,202,200,198,195,192,191,198,202,206,209,211,214,216,216,217,218,213,226,225,167,113,167,219,147,111,162,199,208,204,201,199,197,194,192,199,203,207,210,213,215,217,219,214,221,189,154,203,173,129,147,225,141,123,106,136,156,203,202,199,199,197,194,200,204,208,211,215,217,218,217,231,231,190,133,160,193,146,126,191,150,139,123,150,117,179,210,200,199,198,196,201,205,209,212,215,218,218,225,234,220,207,170,133,188,145,115,160,160,150,133,146,106,170,213,201,201,199,196,201,206,210,213,216,219,218,237,234,208,215,174,127,161,144,115,151,127,118,145,126,97,167,215,202,202,200,198,200,205,210,213,216,218,218,233,226,185,190,173,120,133,142,100,177,178,103,164,152,98,147,216,202,201,199,198,203,206,211,215,217,219,221,223,223,200,189,154,102,127,128,83,173,185,106,148,156,96,129,216,202,202,198,196,203,207,211,215,217,219,221,226,234,218,199,145,123,131,139,107,159,162,141,142,131,92,167,213,202,202,203,206,202,208,213,215,217,219,220,225,238,225,212,149,130,130,151,162,207,188,162,143,100,116,215,213,214,212,193,156,204,210,215,218,220,223,226,227,237,233,208,163,146,137,193,218,198,169,137,130,97,175,220,184,161,136,96,73,159,160,161,163,164,164,162,162,223,229,201,182,158,150,202,210,179,151,130,119,98,124,106,73,60,57,63,67,137,139,138,139,138,135,137,124,190,228,201,185,170,142,172,182,157,134,120,103,77,59,57,59,66,63,57,60,144,144,144,144,144,145,154,126,124,226,203,185,169,134,135,134,128,116,103,77,62,65,65,59,58,66,63,57,145,145,143,143,143,143,145,121,72,145,196,187,150,118,119,117,119,95,64,76,56,53,62,61,55,58,64,64,145,147,147,146,145,146,140,99,85,80,116,141,124,121,114,107,97,61,37,62,71,45,52,60,58,56,58,64,145,146,146,145,144,147,124,87,89,86,76,87,112,106,89,82,62,40,39,51,72,58,42,56,59,56,56,62
8,80,90,96,102,109,115,119,123,126,131,135,137,138,139,141,142,143,143,144,144,145,144,144,144,144,143,143,142,84,93,99,107,114,120,125,126,135,137,139,142,144,144,145,145,146,147,147,147,147,146,145,146,145,143,143,142,91,99,104,113,122,127,130,154,122,141,147,148,150,151,152,151,150,151,154,153,152,151,150,149,148,147,146,145,94,105,108,117,127,131,139,183,89,125,160,155,157,157,158,159,158,157,159,158,157,155,155,154,153,152,151,149,98,108,112,122,130,136,149,199,84,108,170,161,165,166,165,165,166,165,163,163,166,164,160,161,159,159,158,155,104,112,117,126,137,140,155,209,83,106,177,167,170,173,174,172,170,173,176,175,156,163,171,167,166,165,164,161,109,116,121,132,141,145,157,205,92,105,183,173,176,173,171,181,196,127,126,208,153,95,164,176,172,172,171,167,113,119,127,136,144,151,162,213,109,95,186,177,190,197,124,161,211,138,82,162,170,103,104,186,178,179,177,173,116,122,132,142,152,156,168,217,136,102,179,181,222,235,200,184,156,148,162,191,123,70,71,164,188,182,181,180,119,126,136,148,157,161,168,218,169,140,167,207,221,222,227,171,153,158,169,170,130,71,25,134,199,184,186,184,123,130,140,152,161,168,169,211,179,167,195,213,181,152,235,177,145,160,134,117,147,100,28,148,202,189,189,188,127,133,144,155,163,173,172,206,203,175,200,208,187,115,163,204,105,75,66,129,170,120,59,175,202,195,193,190,131,137,148,160,168,177,176,206,227,149,185,176,164,141,124,193,116,34,17,181,195,147,70,129,213,197,198,195,134,140,151,164,171,179,180,205,238,144,125,170,119,123,118,164,147,92,24,149,225,172,95,62,201,205,201,198,136,143,156,167,173,182,185,202,235,186,95,124,126,106,130,159,166,95,147,219,205,174,109,41,159,218,203,204,137,145,160,169,178,186,190,202,244,213,132,87,147,113,161,210,170,145,219,225,178,130,100,52,161,222,207,206,139,149,162,171,180,187,194,200,245,224,166,101,110,126,170,225,209,234,232,195,162,113,75,63,201,217,210,213,144,151,165,176,182,188,196,202,244,236,194,137,100,127,158,228,229,239,226,185,139,101,49,107,240,229,224,200,144,151,166,176,185,192,198,204,240,243,209,161,124,132,147,215,236,233,206,166,122,88,41,177,200,137,89,37,145,152,167,178,187,193,200,202,233,242,221,175,155,141,142,190,233,227,191,146,108,76,45,68,25,1,5,12,146,154,168,180,188,195,202,204,225,235,228,191,174,164,128,169,208,217,181,129,99,66,26,0,2,5,0,16,147,157,171,182,190,197,204,208,213,231,230,205,182,177,123,161,181,205,165,118,87,58,11,0,0,12,0,0,147,157,172,183,190,197,204,211,207,221,226,208,188,170,123,126,173,171,149,101,75,36,9,0,0,4,8,0,145,156,171,182,189,195,202,209,210,205,225,211,190,161,126,99,153,150,128,92,68,2,0,13,0,0,9,0,146,159,172,182,190,195,202,208,216,203,232,226,195,163,128,98,123,142,111,83,49,0,0,3,3,0,0,5,148,160,174,183,190,197,203,210,215,206,228,221,184,153,130,100,107,121,101,67,30,0,0,0,9,0,0,0,148,159,175,184,192,198,203,209,217,195,233,195,159,160,140,108,97,106,103,52,3,10,0,0,0,8,0,0,144,155,166,176,185,193,201,209,206,153,247,198,174,183,153,110,90,98,98,32,0,11,0,0,0,7,0,0
23,176,179,182,188,190,194,198,200,202,203,206,207,208,208,210,211,210,210,208,207,209,208,207,207,206,207,204,201,177,180,183,188,191,195,198,201,203,204,207,209,209,210,211,211,212,212,211,211,210,208,208,208,208,208,207,204,178,181,184,188,192,198,199,202,204,206,208,211,211,213,214,213,213,212,212,213,213,212,211,210,209,208,208,206,180,182,187,191,195,198,201,203,205,207,211,209,209,209,205,215,217,214,215,215,215,214,213,212,210,210,210,209,182,181,189,193,198,200,203,206,207,205,206,217,232,228,185,157,204,218,218,217,215,216,214,213,211,210,211,209,181,183,190,195,197,201,204,207,205,215,241,237,233,219,199,182,183,157,217,218,216,216,215,215,214,212,211,211,183,185,189,194,197,202,205,209,205,235,235,185,189,151,156,177,148,157,220,217,217,217,218,216,215,213,213,213,184,186,191,195,200,204,207,211,209,233,211,173,111,160,217,210,204,222,220,219,218,219,218,217,217,217,215,213,183,187,192,197,201,206,209,213,209,237,214,194,99,183,231,226,228,223,223,223,222,222,218,217,218,218,216,214,185,188,193,198,204,206,209,213,211,240,218,196,127,198,228,168,215,225,223,223,222,222,221,220,220,218,218,216,187,190,194,197,204,207,210,215,212,246,228,234,250,251,235,115,166,238,222,223,224,224,223,223,221,220,220,218,188,192,196,199,204,208,211,211,217,253,255,255,241,229,178,118,148,240,230,226,226,226,225,224,223,222,221,221,187,192,198,201,206,209,210,228,244,252,255,248,237,224,122,152,184,146,209,227,231,227,227,227,225,223,224,222,189,192,197,202,207,207,246,255,248,253,255,250,233,194,110,141,182,102,106,138,183,235,227,227,226,226,224,223,190,193,198,205,208,213,255,239,230,238,238,221,224,166,103,101,145,119,108,122,117,220,233,229,228,229,226,224,190,194,200,207,206,219,254,233,244,255,249,240,216,157,115,94,102,123,119,131,126,212,236,230,230,229,228,228,189,194,200,207,209,208,255,255,255,253,228,205,179,136,123,111,69,95,122,129,132,217,237,231,232,231,229,228,191,194,200,207,211,208,255,255,233,189,151,140,126,131,136,100,48,91,126,136,139,224,237,233,233,233,231,230,193,195,201,207,212,207,254,236,205,156,129,84,100,148,134,81,82,105,127,137,137,228,238,235,233,234,233,232,191,197,203,208,213,206,240,236,192,136,108,75,125,115,84,82,106,119,120,134,147,237,236,236,237,236,234,232,193,197,203,209,217,202,238,234,182,145,123,95,72,62,85,103,120,129,126,131,201,244,237,237,238,238,234,233,192,197,203,208,217,200,234,234,191,157,128,121,87,81,117,133,140,144,128,168,248,239,240,240,239,238,235,234,191,197,205,208,219,196,232,240,198,162,136,133,113,100,135,145,147,146,130,198,251,242,242,241,241,240,238,237,193,198,205,210,219,198,224,237,194,167,142,136,122,105,134,144,145,140,137,225,246,242,243,242,241,241,239,238,195,198,206,211,219,202,219,233,190,168,144,137,126,114,132,140,147,133,172,251,243,242,243,244,243,240,239,239,193,199,206,211,220,210,217,226,190,165,144,132,130,127,136,142,137,156,234,248,245,244,244,244,243,242,240,239,194,199,206,212,219,213,218,220,179,156,138,134,136,133,133,138,159,237,251,247,247,248,246,246,244,243,242,240,194,198,206,212,219,212,221,225,176,152,139,137,136,137,137,134,216,251,245,247,247,247,247,246,244,243,241,240
8,197,197,198,198,198,198,199,197,197,196,198,174,179,197,194,193,193,193,191,189,188,189,188,186,185,184,183,181,197,197,198,199,199,199,199,198,198,198,203,155,146,203,194,195,195,195,192,191,189,190,189,188,186,185,184,181,198,199,200,201,200,200,201,202,198,206,198,133,144,204,195,197,197,196,194,193,192,191,190,189,188,186,185,183,200,200,201,203,202,201,203,203,199,210,191,117,161,206,196,197,197,196,196,195,193,192,191,191,190,187,185,185,201,202,202,204,205,204,203,204,200,219,191,123,174,206,199,199,198,197,196,195,194,194,193,191,190,188,187,187,202,204,203,205,205,205,204,205,202,224,174,121,182,205,199,203,200,197,197,196,195,195,194,193,191,190,188,188,203,205,205,204,204,206,206,205,205,220,166,126,189,207,199,166,190,207,200,196,196,196,194,194,192,191,190,187,204,206,207,206,206,206,207,205,210,221,178,158,187,208,209,163,144,176,188,202,196,197,195,194,193,192,192,188,205,206,206,206,207,207,207,203,214,214,189,175,193,201,211,200,162,141,133,154,204,191,200,197,193,192,191,190,206,207,207,207,207,208,210,205,214,211,200,182,210,203,192,214,193,191,158,104,144,142,141,194,197,193,193,191,207,207,208,209,209,210,210,206,225,200,190,200,212,199,164,182,197,182,163,111,83,100,86,142,205,194,195,192,208,209,209,209,211,212,211,213,212,184,192,185,200,184,154,114,188,194,166,121,84,91,91,112,203,195,195,192,209,210,211,212,212,213,210,226,201,170,167,172,198,164,138,80,150,216,171,127,87,106,89,133,206,194,194,194,210,211,212,212,213,211,217,234,211,183,144,149,186,148,114,94,152,223,178,132,86,87,93,188,202,196,196,195,210,211,211,214,213,211,233,231,207,181,156,147,191,181,178,204,192,197,170,135,92,71,167,206,197,197,196,194,211,212,213,214,214,215,239,220,202,185,171,144,162,223,218,199,199,164,157,141,90,142,211,200,200,199,198,197,212,214,213,214,214,224,237,214,205,183,152,152,202,223,201,178,201,150,143,136,88,189,207,202,200,200,199,198,212,214,215,215,213,231,235,213,207,175,155,198,228,211,194,171,186,148,123,110,102,209,204,204,203,200,199,198,214,215,216,217,216,233,233,218,206,172,188,216,221,202,188,163,166,144,112,83,149,218,204,205,204,201,200,199,215,215,217,214,212,238,229,217,199,177,188,210,201,189,172,155,156,124,96,82,194,211,207,205,204,203,202,200,216,214,227,164,107,196,223,201,182,174,181,191,190,176,160,152,134,106,76,121,217,207,208,206,205,203,202,199,214,221,199,107,94,96,162,192,177,175,175,185,189,165,149,129,105,90,77,189,213,209,208,206,206,204,203,200,215,225,134,92,100,95,92,143,180,184,169,182,178,147,127,106,97,71,148,220,208,211,208,206,206,204,203,202,228,174,97,98,92,93,92,66,97,120,135,169,157,117,102,97,73,124,218,211,211,211,208,207,206,205,204,202,202,108,95,95,91,87,97,72,60,72,74,94,105,93,83,69,137,216,213,211,211,211,209,208,206,205,204,201,123,94,96,93,87,85,94,77,50,73,70,60,59,65,54,155,231,210,211,210,210,210,209,206,205,204,203,201,93,89,87,89,86,80,93,72,44,66,66,59,58,54,51,99,182,217,211,212,211,211,209,206,205,204,202,199,98,85,68,113,100,71,91,56,46,62,61,55,54,55,56,36,122,225,211,212,211,211,209,207,206,206,203,200
13,245,246,247,247,247,248,248,248,248,247,248,250,250,250,251,252,249,249,250,250,248,249,249,248,248,245,243,245,246,247,247,247,248,248,250,249,247,250,252,250,247,248,245,244,255,255,253,251,248,248,251,250,249,247,245,246,247,248,249,248,250,250,249,248,249,251,249,251,255,255,245,198,191,233,230,251,252,251,253,252,250,250,247,246,247,248,249,249,250,250,249,249,250,250,248,255,255,255,255,208,148,118,159,166,255,252,251,251,250,250,247,249,248,249,249,249,249,249,252,251,249,251,251,237,241,255,255,223,160,100,136,105,210,255,248,253,251,251,251,251,248,248,249,250,251,251,250,252,253,209,234,233,203,230,255,241,176,107,154,163,184,255,251,254,253,253,252,252,248,249,251,252,252,253,247,255,255,198,200,236,241,250,241,248,212,109,154,153,173,255,254,254,255,254,252,252,249,249,251,253,252,251,250,255,255,230,198,157,209,243,234,195,147,95,84,159,239,255,255,255,255,255,254,254,248,251,250,252,250,255,212,187,251,255,233,150,76,179,239,202,170,144,111,138,255,255,255,255,255,255,255,254,248,250,250,242,255,255,190,125,156,255,250,195,76,65,139,179,215,232,197,120,181,255,254,255,255,254,255,252,248,249,247,255,255,248,181,154,101,241,255,199,143,64,64,93,247,255,243,194,116,218,255,253,254,254,254,251,249,247,255,255,237,232,199,184,95,174,255,214,190,96,77,68,181,255,255,217,157,126,252,255,253,255,254,253,250,252,255,239,189,223,216,193,125,80,249,253,217,151,61,109,204,255,255,217,186,124,201,255,253,255,255,255,249,255,255,254,204,206,235,190,176,93,108,255,238,202,125,154,255,255,240,204,186,127,194,255,255,255,255,255,247,255,255,250,224,186,210,221,216,164,52,138,255,242,225,179,255,247,217,172,148,110,217,255,255,255,255,255,251,255,255,255,246,216,175,203,226,196,167,67,208,243,224,245,253,228,204,164,120,108,246,255,255,255,255,255,240,240,255,255,255,234,214,196,201,200,221,137,243,255,255,255,243,218,191,156,112,139,255,255,255,255,255,255,142,137,255,255,255,248,227,222,223,199,162,191,255,255,255,253,236,214,181,142,107,163,245,238,243,243,247,248,122,97,218,255,255,255,240,227,233,233,194,186,254,255,255,254,218,196,171,130,115,122,129,134,133,134,134,135,128,114,162,255,255,255,255,243,234,231,218,171,208,255,255,245,215,177,150,124,113,124,116,106,108,122,160,195,126,126,120,247,255,255,255,255,244,231,214,193,173,247,249,226,202,166,137,120,109,126,150,177,215,245,255,250,124,130,115,169,255,252,255,255,250,232,211,194,176,201,232,206,174,155,135,110,116,207,255,255,255,252,255,248,125,125,128,112,216,255,255,255,238,222,205,187,173,173,197,196,175,151,129,92,190,255,255,250,240,222,224,237,126,126,128,118,133,255,254,234,218,207,196,183,157,150,178,202,185,139,113,98,255,255,255,243,211,185,179,201,125,125,123,127,108,220,255,221,196,198,192,179,155,133,182,216,170,125,91,161,255,255,255,244,183,147,174,188,126,126,122,129,112,177,255,230,216,216,197,173,155,133,188,214,142,118,86,244,255,255,255,255,190,128,155,188,125,128,122,129,114,156,255,245,233,234,207,182,169,135,185,199,136,105,113,255,255,252,255,255,216,136,131,176,127,128,122,127,114,154,255,255,248,240,211,195,182,128,176,191,137,90,151,255,255,248,255,255,240,149,117,148
16,154,162,167,168,174,180,186,190,194,199,205,207,211,212,215,218,219,222,224,226,227,228,230,232,232,231,232,233,156,164,168,169,175,181,187,192,195,200,206,208,212,216,216,218,222,223,225,228,230,231,233,234,233,232,233,235,160,166,168,171,176,182,188,193,198,202,207,211,214,217,219,221,223,226,227,229,233,233,233,235,235,235,236,237,159,167,169,173,177,183,190,195,200,205,209,212,217,219,222,224,226,228,230,232,233,233,235,236,237,239,239,240,161,168,171,174,180,187,192,198,201,207,210,211,217,221,221,224,227,228,232,233,233,234,237,236,238,241,241,241,163,171,173,175,182,188,193,199,204,210,209,222,220,219,235,223,223,236,233,233,235,235,237,239,241,243,243,242,167,173,175,177,183,189,196,202,207,207,222,255,251,255,255,231,197,200,236,244,239,238,239,242,242,244,245,245,167,174,176,179,185,191,197,204,197,253,255,255,255,255,255,233,200,158,151,197,235,247,242,243,244,246,248,247,168,175,176,179,187,193,199,200,230,255,255,255,255,255,251,219,172,158,132,125,145,194,245,247,244,247,248,248,170,176,178,181,189,197,194,231,255,255,255,255,255,245,227,187,156,162,133,140,128,123,161,243,251,247,250,250,170,175,179,182,189,198,192,254,255,255,255,255,248,213,183,150,153,150,138,149,136,132,119,146,246,252,249,251,169,176,178,182,190,199,196,255,255,255,255,250,224,176,144,143,125,150,147,155,142,134,132,117,155,255,253,250,172,178,181,185,192,201,199,255,255,255,235,214,175,145,132,99,76,157,150,153,145,138,129,132,119,174,245,255,173,180,183,187,193,202,197,255,255,255,236,179,133,112,57,28,74,152,149,157,144,136,132,136,121,36,117,255,176,181,182,187,194,204,197,255,255,255,231,152,121,72,16,21,75,152,159,166,141,132,134,133,69,27,135,255,177,182,183,187,194,202,200,237,255,255,206,133,101,65,34,56,77,125,183,158,139,131,136,82,41,25,194,255,176,182,184,188,195,203,206,222,255,255,178,124,113,115,85,97,96,140,212,134,136,136,94,25,48,30,232,255,177,183,184,188,196,204,206,224,255,223,144,133,139,126,119,111,99,221,198,129,138,92,11,33,41,44,255,255,179,184,185,189,198,207,204,244,255,192,144,149,139,137,141,98,181,251,177,140,96,22,29,49,23,68,255,255,181,184,185,191,200,209,202,252,255,161,179,130,81,107,107,117,255,248,175,124,60,38,47,35,17,103,255,255,181,185,186,192,200,209,202,255,255,130,210,125,94,103,82,139,255,255,197,93,55,43,31,34,16,166,255,255,180,184,186,192,200,205,216,255,181,150,228,122,120,129,106,125,255,255,210,77,45,37,28,39,20,197,255,255,179,182,184,190,200,203,221,213,157,224,210,123,133,136,133,112,220,255,213,85,28,32,34,42,24,191,255,255,180,184,186,191,201,208,211,213,222,237,195,127,140,143,141,112,100,184,145,43,26,33,36,44,29,199,255,255,181,184,187,192,201,208,213,219,220,236,185,132,139,138,114,70,36,34,35,31,36,36,37,43,28,207,255,255,182,185,187,193,201,208,213,220,223,237,176,125,128,118,71,37,41,45,45,46,44,43,39,42,22,144,255,255,182,186,188,193,202,208,216,222,224,239,185,132,114,94,56,47,58,59,61,60,53,47,41,45,22,148,255,255,182,186,190,193,202,209,216,221,227,229,163,135,118,99,73,63,70,69,70,66,58,52,44,48,22,176,255,255
20,174,177,179,180,182,183,184,184,185,185,185,186,184,184,183,183,182,181,180,181,179,177,177,175,174,173,173,172,175,178,180,181,183,185,185,186,187,187,187,188,186,185,186,184,183,182,181,170,179,178,177,176,176,175,175,174,176,178,180,182,183,185,186,188,188,188,189,188,187,186,187,186,183,183,192,133,141,191,178,178,178,177,176,176,177,179,181,183,184,186,188,188,189,190,190,188,188,188,188,187,185,187,193,126,127,169,177,181,179,178,177,176,178,180,181,184,185,187,189,189,191,191,190,189,189,189,188,188,186,194,183,122,101,124,138,187,179,178,177,177,179,182,184,185,186,188,190,190,192,193,192,191,191,190,189,191,186,201,179,112,120,145,123,187,180,180,178,178,180,183,184,186,187,190,191,192,194,194,193,193,192,191,191,191,189,203,174,112,156,149,121,187,182,181,180,179,181,183,185,188,189,190,192,193,195,195,194,194,193,193,192,191,191,201,162,114,176,153,125,187,183,183,182,181,182,184,187,189,190,192,193,194,196,197,196,197,197,195,197,196,195,197,148,126,186,146,133,190,184,184,183,181,183,185,188,189,191,192,193,195,197,197,196,197,198,192,159,169,209,197,141,147,190,134,136,194,185,185,184,183,185,187,188,191,192,194,195,196,197,199,197,196,194,197,157,116,181,191,130,164,197,130,143,196,187,188,185,184,184,187,189,191,193,195,198,198,198,200,197,203,200,196,191,156,132,128,105,163,185,123,155,196,188,188,187,186,185,188,192,194,195,196,197,198,200,201,199,211,209,201,212,196,149,103,81,137,156,118,166,196,190,189,188,188,187,190,192,196,196,198,199,201,202,199,206,196,158,188,188,192,151,110,97,113,122,109,177,195,191,189,189,188,188,191,193,195,198,198,199,202,202,200,213,188,132,173,169,186,173,128,102,98,106,106,186,195,191,190,190,188,189,191,194,195,198,199,202,202,202,201,216,198,161,139,116,166,190,143,108,96,97,112,193,195,193,191,191,190,190,192,194,195,197,200,202,203,203,204,205,167,143,125,88,124,204,158,123,102,92,121,199,194,194,192,191,191,191,192,194,196,197,200,203,205,202,211,203,166,156,137,110,174,206,166,145,113,92,134,204,194,195,195,192,190,190,193,195,197,199,200,203,205,203,216,198,178,155,132,176,225,192,162,154,119,97,141,205,194,195,195,193,191,191,193,195,197,199,202,204,204,206,222,208,173,144,162,229,201,173,151,145,120,103,156,205,195,196,195,193,192,192,194,196,198,201,203,206,205,211,233,201,159,154,195,231,192,167,138,129,120,109,178,202,197,197,196,194,192,192,195,197,199,201,203,205,205,215,229,177,176,157,209,221,190,165,140,116,114,118,194,201,199,197,197,195,193,190,192,196,198,201,202,204,203,216,216,195,191,154,219,210,179,155,137,117,110,136,203,198,198,197,196,195,194,190,192,195,197,200,202,204,204,209,216,218,178,174,220,191,164,143,126,119,109,163,205,199,197,197,196,194,192,190,193,196,198,201,202,204,203,206,216,211,178,165,198,180,151,132,119,114,116,188,204,200,198,197,196,195,194,190,193,197,199,201,202,204,204,207,208,188,172,161,176,173,148,135,121,105,137,204,201,201,198,197,197,195,194,189,193,196,198,201,203,204,204,207,196,182,174,175,174,180,165,132,117,102,162,207,200,200,198,198,197,196,194,189,193,196,198,201,203,205,205,206,207,200,199,192,177,174,164,126,111,107,182,206,199,199,198,198,196,196,195
7,188,191,193,195,196,198,199,201,202,203,203,203,202,202,201,202,203,205,204,203,203,201,200,199,198,194,191,190,191,192,194,197,199,201,202,204,203,204,205,206,205,205,206,206,206,207,206,206,206,204,203,201,200,198,196,195,191,195,197,199,201,203,206,207,207,207,208,208,209,209,210,210,210,208,207,209,209,207,205,203,202,201,200,197,193,198,200,202,203,205,207,209,210,209,210,211,211,212,211,211,211,211,210,209,211,208,207,206,205,204,202,201,196,201,204,206,207,208,209,211,211,211,212,212,211,214,213,212,213,213,212,212,212,211,210,208,207,207,206,202,198,202,205,207,209,210,212,213,213,214,214,214,214,216,216,216,216,215,215,214,214,213,212,210,210,209,209,205,201,204,207,209,209,212,215,216,217,215,218,217,217,217,219,218,218,218,218,218,217,215,215,213,213,210,212,210,201,205,208,210,212,214,215,216,217,221,218,218,220,220,218,219,220,219,220,220,219,217,218,212,210,213,211,210,203,206,209,211,212,214,216,222,229,232,201,173,193,210,212,209,212,218,215,216,210,214,205,220,230,209,212,209,207,209,209,212,217,226,230,231,234,233,223,169,147,180,195,193,196,188,185,195,192,202,188,214,200,198,218,211,206,211,224,231,234,233,229,226,217,212,208,164,136,154,176,188,188,183,181,176,172,181,166,161,156,202,213,213,227,236,235,233,230,222,215,202,194,204,216,180,136,126,133,149,168,182,174,171,181,180,172,187,184,185,207,196,248,239,229,222,213,207,201,198,203,212,219,186,141,138,139,129,127,117,133,145,146,154,148,152,162,162,161,189,243,234,222,208,196,190,188,192,198,211,197,161,134,131,149,159,149,118,145,218,207,200,196,195,193,195,205,224,235,229,222,206,194,191,192,187,183,198,205,170,122,107,130,144,146,143,122,227,237,234,235,234,232,230,229,224,228,226,223,212,205,198,198,198,193,201,216,183,141,140,146,132,133,108,157,242,229,232,231,229,228,227,226,225,222,217,214,213,210,203,199,195,195,201,206,181,151,158,160,147,143,121,227,237,233,235,232,232,231,229,229,228,202,199,203,210,211,208,199,192,191,190,170,155,137,129,138,145,115,184,248,232,234,235,234,233,233,232,231,231,91,103,140,185,210,202,186,175,162,148,139,126,80,58,83,121,119,228,239,235,235,236,234,231,229,229,236,198,17,16,25,56,115,156,142,149,159,180,211,228,126,74,106,127,195,243,237,237,237,234,231,235,239,245,190,105,19,13,9,4,5,21,171,232,237,244,241,247,224,171,202,227,244,239,239,238,235,235,245,224,177,152,100,75,10,5,2,5,0,54,254,235,237,236,237,237,240,246,244,241,237,241,240,238,242,240,194,122,95,83,71,56,3,0,0,0,0,59,251,233,237,238,239,239,238,236,237,238,241,241,240,242,238,143,68,66,87,73,64,56,0,2,0,0,0,49,255,236,241,241,241,243,244,243,242,244,243,243,245,247,175,92,56,33,57,57,49,53,9,13,7,0,0,37,234,219,226,229,230,232,234,234,235,238,238,240,237,141,74,101,55,22,30,50,41,44,22,16,0,0,0,5,122,117,121,124,126,131,135,136,138,142,139,147,145,79,49,92,51,14,19,32,33,34,32,7,0,0,0,27,112,99,99,102,101,102,102,102,103,100,99,122,120,66,40,83,46,11,15,23,26,28,22,0,0,0,0,60,126,113,115,117,116,114,115,113,114,111,117,101,81,61,37,72,37,13,10,18,20,23
21,114,117,125,133,140,147,150,154,159,163,169,170,173,177,180,180,181,184,184,184,186,187,186,185,187,188,188,188,116,120,129,136,144,149,153,157,162,167,170,173,177,182,183,183,190,187,189,189,189,189,188,190,192,191,190,190,117,122,132,140,146,152,156,161,166,170,172,177,181,184,191,162,138,194,191,192,192,195,199,195,195,196,195,196,120,126,135,142,149,155,160,163,168,172,176,181,185,187,198,174,74,183,198,194,198,180,165,202,199,198,198,198,123,128,137,146,152,158,163,167,171,174,179,184,189,188,201,188,83,156,208,197,201,186,93,173,210,202,201,200,127,130,140,150,155,161,164,169,174,179,183,187,192,192,203,191,94,127,213,197,204,197,103,133,218,203,203,203,128,134,143,152,158,163,168,173,177,182,186,190,194,197,201,195,117,109,210,202,206,194,112,111,217,204,205,205,129,136,145,153,160,164,170,174,178,184,189,194,196,198,201,211,156,100,197,208,208,197,122,101,215,208,209,208,132,138,148,157,163,168,172,177,181,186,190,195,198,201,200,218,171,100,173,217,208,206,149,96,212,213,213,212,133,140,150,158,165,170,174,179,183,188,193,197,199,204,205,225,180,110,145,222,209,208,160,91,203,217,215,216,134,142,153,161,166,171,176,181,185,190,194,199,200,201,194,233,207,142,130,221,214,206,168,92,194,222,216,217,135,144,155,161,167,172,177,182,187,192,196,200,203,197,175,182,231,178,127,213,216,219,192,102,190,224,217,217,137,144,155,163,169,175,180,185,189,195,199,201,218,241,223,173,164,159,119,205,221,219,198,102,188,227,217,218,138,147,158,164,171,177,182,187,191,195,199,204,210,203,217,209,156,98,80,175,219,201,189,100,184,230,219,220,139,146,158,165,173,179,182,187,192,198,202,206,206,179,153,140,171,127,115,111,136,167,170,97,178,236,220,223,142,150,160,167,174,180,185,189,193,199,204,206,215,226,196,124,120,178,182,167,114,91,141,89,167,237,221,224,142,153,162,168,175,180,187,192,195,200,205,211,198,184,207,154,63,117,195,189,136,63,90,74,166,239,224,226,143,154,163,169,175,180,186,191,195,202,206,212,199,101,147,170,84,31,110,175,153,107,61,50,156,240,224,227,143,155,165,172,177,181,187,191,197,202,207,213,196,156,128,153,130,86,7,124,187,145,83,38,123,244,226,229,143,153,163,171,176,182,188,193,197,203,208,212,217,196,119,88,130,108,32,69,190,178,124,62,89,240,228,230,141,152,162,169,174,180,187,191,197,202,207,209,226,188,147,113,74,62,76,119,186,205,148,103,74,221,234,231,145,154,163,170,176,180,187,193,198,203,209,209,230,220,187,113,82,94,126,213,212,187,147,110,71,212,235,230,145,155,164,171,178,182,189,194,198,204,210,210,229,222,166,104,112,126,160,243,215,174,123,91,67,214,235,230,145,155,165,171,178,184,190,194,198,204,207,209,223,219,159,141,132,116,182,246,201,161,115,76,68,218,235,232,145,155,165,170,177,183,188,192,197,203,206,208,218,213,183,150,122,117,191,241,196,152,107,76,72,223,234,233,148,159,168,176,183,189,194,199,205,211,213,215,217,208,188,134,133,131,184,229,191,151,99,70,78,225,232,232,112,117,125,134,138,145,152,161,169,178,183,186,195,204,189,139,164,137,168,211,167,130,91,63,92,241,236,238,76,78,77,77,77,80,82,86,88,89,91,92,101,187,191,156,168,145,151,199,143,106,80,66,81,153,157,164
6,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,255,253,250,249,249,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,252,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,253,252,249,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,230,255,255,255,255,255,255,255,255,255,255,255,255,255,255,243,255,255,255,255,255,255,255,255,255,255,255,255,214,200,242,255,255,253,245,238,236,229,230,228,227,220,218,237,255,255,255,255,255,255,255,255,255,255,255,255,223,170,165,164,185,190,199,204,205,217,226,232,235,240,255,255,255,255,255,255,255,255,254,255,252,246,238,224,194,180,176,153,186,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,247,246,250,249,241,238,246,244,194,166,172,190,182,214,255,255,255,255,255,255,255,255,243,226,225,255,255,243,240,242,242,245,245,249,255,255,211,166,153,175,190,172,181,255,255,255,255,255,255,202,162,161,157,255,254,240,231,227,231,242,248,255,253,238,213,185,178,172,169,183,168,205,255,255,255,255,234,160,172,166,161,255,255,246,236,231,231,233,236,253,255,220,188,191,197,194,179,170,161,214,255,255,255,255,195,162,159,156,158,255,255,250,242,236,237,234,230,237,255,239,187,154,180,207,207,185,157,254,255,255,255,187,157,144,126,117,103,255,255,254,248,240,239,240,239,251,255,225,189,175,169,176,194,201,173,220,242,205,179,147,143,129,111,101,92,241,255,255,255,248,243,240,237,242,253,230,198,192,197,185,170,179,178,167,162,157,144,136,124,116,106,96,95,155,239,255,254,251,250,241,236,224,223,219,205,216,213,200,195,174,142,137,153,155,144,135,123,110,102,93,89,78,122,229,236,219,216,208,206,205,187,176,157,180,198,211,204,172,128,107,135,138,129,129,130,119,102,90,87,82,74,97,212,245,245,254,255,255,255,166,150,153,178,194,168,165,134,105,108,130,124,119,127,129,106,92,85,70,53,137,255,255,255,255,255,255,255,250,220,209,197,158,128,166,129,99,91,109,118,113,119,129,116,94,85,57,57,157,172,166,169,172,172,175,178,184,185,199,191,134,117,161,129,91,91,100,107,108,113,125,121,96,86,61,55,147,171,165,165,165,165,167,164,160,174,188,176,122,111,151,120,89,90,99,100,101,105,115,118,99,85,61,53,166,177,173,175,173,170,170,173,181,172,147,140,126,104,143,113,91,79,93,96,98,101,108,116,107,89,44,74,182,174,174,174,176,175,175,170,158,142,139,125,122,104,133,110,90,83,85,88,92,97,105,112,107,92
19,216,217,217,219,221,222,224,224,223,224,225,223,223,222,222,222,221,220,217,216,216,216,215,215,213,212,213,211,216,218,220,221,223,224,224,225,225,225,226,225,224,224,224,223,222,222,221,219,219,217,216,216,215,215,215,214,217,220,222,222,224,226,226,226,228,227,227,226,226,226,225,225,224,222,222,222,221,221,219,219,217,217,215,215,218,220,222,225,225,226,228,229,230,230,230,228,227,226,226,227,226,223,224,223,223,223,222,220,218,218,216,215,219,221,222,225,226,228,230,231,232,232,231,232,232,229,229,228,226,225,225,224,224,224,223,220,219,218,218,217,221,224,224,225,228,231,231,233,232,232,232,232,233,233,231,229,228,226,226,225,224,223,223,222,219,220,219,218,222,224,225,229,230,232,233,235,234,234,234,233,232,231,232,235,232,230,228,227,227,226,223,223,222,222,220,220,223,226,229,231,232,234,235,235,235,235,234,235,233,232,226,217,227,231,230,231,231,227,225,225,221,219,221,220,225,226,230,232,234,235,236,237,236,237,235,235,233,238,218,172,182,233,217,219,223,221,216,221,219,154,214,223,227,228,231,233,234,236,237,236,237,232,228,232,231,239,231,223,235,239,223,223,238,229,219,200,158,142,220,224,228,230,232,233,234,237,237,240,243,213,203,212,221,225,215,203,192,201,189,201,219,194,164,153,172,216,228,225,227,231,233,234,235,237,235,236,214,205,219,221,211,212,205,196,154,141,141,147,189,188,206,222,233,230,226,227,231,232,234,235,239,231,243,255,240,241,241,232,220,204,161,134,142,118,114,201,242,237,237,232,230,228,227,228,233,234,235,236,242,230,255,255,255,235,224,217,212,191,150,115,132,120,124,225,238,234,233,231,230,230,230,230,231,233,236,238,242,231,255,255,234,201,169,158,160,171,156,125,132,123,130,231,236,236,234,234,232,231,232,231,232,234,238,239,242,231,249,255,220,161,147,107,101,190,164,132,135,123,145,239,238,237,237,236,236,233,233,232,233,235,237,239,244,228,241,255,217,167,121,89,159,188,157,135,136,121,170,249,238,239,239,238,237,235,234,232,234,235,238,241,245,226,237,255,224,184,149,110,117,116,113,121,122,131,144,244,241,240,239,239,237,236,234,232,236,238,240,242,246,227,235,255,229,192,156,140,105,79,75,87,109,123,120,228,246,241,240,239,237,236,234,233,236,239,242,242,249,225,226,255,226,193,160,144,142,117,103,111,123,131,123,214,249,241,241,239,238,238,236,236,237,239,242,243,247,230,222,255,223,191,162,146,145,129,117,123,131,138,129,219,250,242,242,241,239,239,239,237,237,239,242,245,249,234,219,255,224,187,162,147,145,130,118,125,134,138,139,233,248,243,242,242,240,241,241,239,237,240,242,245,250,239,224,247,215,182,160,145,143,136,127,130,140,141,162,249,246,245,244,243,242,241,240,239,241,242,243,245,250,240,237,251,215,180,161,148,142,141,139,142,151,138,203,254,245,247,245,244,244,243,241,241,241,243,244,248,251,235,240,255,222,189,167,152,142,148,147,150,145,172,246,248,249,248,247,245,244,243,242,242,239,242,243,246,254,229,242,250,223,203,174,150,143,152,151,147,193,245,251,250,248,247,246,245,245,245,243,241,238,242,241,243,246,231,247,238,210,193,171,149,148,149,140,175,250,250,247,248,246,245,245,244,244,243,241,240,238,242,243,245,242,245,255,243,218,191,175,155,144,144,133,194,249,249,248,248,247,246,245,245,244,241,240,240
24,114,118,122,124,126,127,129,131,132,134,135,138,138,139,140,142,143,144,146,146,147,148,148,148,147,149,149,150,114,118,120,122,126,128,130,132,133,135,135,138,139,140,142,143,144,145,147,146,147,149,149,149,150,151,151,151,115,119,121,124,127,128,130,133,135,137,137,139,141,142,143,145,145,146,147,147,149,149,150,150,151,152,152,152,115,119,122,125,126,128,131,133,135,137,138,140,142,143,144,146,145,146,148,149,151,151,151,153,152,152,152,152,116,120,122,126,127,129,132,134,136,138,139,141,143,144,145,147,147,147,148,151,152,152,152,153,153,152,152,151,116,120,123,127,130,131,133,134,137,138,140,141,144,144,144,146,149,151,150,151,152,152,152,152,152,153,153,153,118,119,131,124,109,133,132,135,138,140,141,142,142,143,149,148,146,140,152,152,153,153,152,152,153,154,154,154,118,117,138,138,92,126,135,135,138,140,142,144,144,128,111,148,147,112,112,155,152,153,153,153,154,154,154,154,119,120,125,141,103,100,139,135,138,141,121,139,160,135,94,127,154,123,79,115,160,153,154,155,155,156,156,155,119,122,123,137,131,98,127,137,146,153,125,115,160,138,105,117,157,127,87,73,156,154,156,157,155,156,146,130,118,122,126,130,153,127,100,133,157,166,137,108,151,147,107,103,155,123,86,58,141,159,154,155,157,151,121,96,119,122,126,126,144,141,105,114,147,174,150,114,123,157,115,87,141,110,78,49,128,162,153,156,150,138,108,82,118,123,126,128,130,143,148,132,131,159,157,119,94,138,122,79,113,102,79,51,94,164,156,143,135,126,89,101,119,124,126,128,129,141,153,146,148,155,145,114,80,112,118,77,88,116,87,56,61,139,140,129,127,102,74,140,119,123,126,128,132,132,148,150,145,152,143,114,95,91,130,94,86,145,93,62,99,111,128,130,104,70,121,163,120,124,126,129,133,131,144,160,140,125,124,124,123,88,134,122,68,129,99,121,142,127,121,110,79,99,163,157,119,124,127,129,132,132,141,158,126,118,116,124,122,100,119,112,73,123,152,151,136,121,104,91,82,156,159,158,120,124,128,130,132,134,138,166,144,126,112,113,120,133,118,112,141,158,150,143,131,116,99,76,123,164,157,159,120,124,128,130,132,137,136,168,161,138,117,108,131,144,152,163,165,154,146,138,126,109,82,87,162,159,159,159,120,124,128,130,132,137,135,166,171,145,134,117,122,142,158,173,161,152,149,137,114,93,70,126,165,158,159,159,121,125,128,130,133,135,133,160,176,151,145,135,123,142,156,169,160,155,148,131,111,81,87,161,158,159,159,159,121,126,128,130,132,135,137,146,173,161,150,144,132,140,154,163,160,152,141,127,113,72,135,165,159,160,160,160,121,125,129,131,132,135,138,139,156,165,156,142,133,138,152,158,153,142,128,120,89,102,165,158,160,160,161,160,121,124,128,130,132,135,139,139,148,168,154,142,132,141,146,148,143,133,117,99,80,152,161,158,160,160,162,162,119,124,127,128,131,134,137,138,145,157,143,140,135,137,141,144,140,129,112,79,113,168,157,159,159,159,159,161,118,122,126,128,130,133,135,137,144,147,140,147,145,144,146,142,134,123,104,75,142,161,157,158,159,158,158,159,117,121,125,127,128,133,135,135,143,159,153,159,151,149,143,137,129,118,92,81,155,157,156,157,158,158,159,159,117,121,125,126,128,132,135,134,144,171,158,157,151,148,137,132,129,111,83,90,162,155,157,157,157,158,159,158
13,139,141,143,144,145,147,149,150,151,153,152,151,152,152,152,152,152,152,153,152,151,150,151,150,149,149,149,148,140,141,144,146,147,149,149,152,152,152,154,153,153,153,153,153,153,153,154,153,151,152,152,152,149,149,150,150,141,143,146,147,148,149,151,153,153,153,154,154,154,154,155,155,154,153,154,154,152,153,152,152,152,151,151,151,143,145,147,148,149,150,153,154,154,154,155,156,156,155,157,156,156,154,153,154,156,155,153,152,153,153,153,152,143,145,147,149,151,152,153,154,155,155,156,157,157,158,154,156,154,157,165,142,114,145,157,156,156,153,154,153,144,146,148,150,151,152,154,154,156,156,158,157,156,148,166,167,127,129,181,145,89,96,155,135,147,157,154,154,146,148,150,152,152,153,155,155,157,158,156,163,161,119,136,178,133,109,174,143,96,62,131,111,87,156,156,155,146,148,150,152,153,153,155,157,158,158,158,186,170,136,94,167,141,105,171,135,90,67,135,121,66,135,162,155,147,149,150,152,154,156,156,158,161,157,172,187,179,147,93,150,148,89,157,143,76,98,159,124,58,117,166,153,148,150,152,153,155,157,159,159,159,160,183,156,173,148,86,128,150,83,160,159,87,82,110,81,51,119,166,155,148,151,153,154,155,157,158,159,156,171,184,160,171,134,79,126,140,78,96,126,76,63,103,98,60,126,166,156,149,152,153,154,156,158,159,157,167,187,169,147,164,117,80,146,126,91,32,33,36,103,150,149,87,133,165,158,151,153,153,156,158,158,161,156,176,190,161,129,145,119,83,151,131,89,30,77,105,137,148,147,100,133,166,158,152,154,154,157,159,159,162,158,183,186,163,134,116,123,71,159,170,88,92,174,163,141,118,110,89,108,168,159,152,154,155,158,160,161,163,161,191,184,168,155,129,100,69,132,144,123,173,170,149,133,112,91,79,83,164,162,153,155,157,158,161,162,161,164,196,183,169,156,146,115,111,112,151,177,176,160,142,125,103,87,75,85,166,161,155,157,158,159,162,163,162,167,196,183,168,160,149,127,115,130,181,182,170,150,130,116,96,85,66,123,170,161,155,157,159,161,163,165,164,165,194,186,170,162,152,132,121,145,180,181,166,144,122,106,89,76,74,161,165,164,156,158,160,162,163,164,164,165,193,187,174,163,152,135,133,160,171,167,154,137,118,99,85,60,100,175,164,166,156,159,161,163,164,165,165,165,192,186,172,162,148,136,148,162,149,149,139,125,110,93,68,72,153,169,165,165,157,159,162,164,164,166,168,164,193,184,177,163,146,143,157,156,139,137,123,110,98,71,83,156,170,166,166,166,158,160,162,165,165,167,167,168,198,187,183,165,153,152,162,149,135,124,110,102,74,83,163,171,167,169,168,168,159,160,163,165,167,168,162,181,202,190,187,163,158,162,156,138,125,106,102,80,78,159,174,169,168,169,169,168,159,160,163,164,167,168,163,192,192,189,184,162,160,157,147,126,108,97,85,71,144,173,170,171,170,170,170,169,159,161,163,165,168,167,168,192,178,175,171,156,154,155,135,112,101,92,68,129,177,171,172,171,170,170,170,169,160,162,164,167,169,164,171,190,171,160,158,145,152,152,119,108,100,75,91,170,173,173,171,172,170,170,169,170,160,163,165,166,170,158,180,189,163,158,154,143,146,133,110,105,88,68,132,176,174,174,171,171,171,171,170,170,161,163,165,167,168,159,194,185,153,151,155,143,134,121,105,97,70,82,161,175,174,174,173,173,172,171,171,170
20,128,132,138,141,145,148,150,151,152,154,156,154,152,153,153,149,152,134,147,148,145,145,143,141,139,138,137,136,130,135,141,144,147,149,153,154,156,157,158,158,156,155,154,157,172,86,103,154,148,145,145,143,142,142,140,138,131,137,141,145,149,152,154,156,158,158,159,158,158,158,154,167,172,80,59,122,97,149,146,145,145,144,142,139,135,139,143,147,151,155,156,159,160,161,161,160,159,160,155,172,164,71,65,137,46,133,154,148,147,145,144,143,136,141,146,149,154,156,159,163,164,162,164,165,163,161,156,186,172,74,71,138,51,119,159,150,151,147,146,145,138,143,147,150,155,158,161,164,164,164,165,166,165,165,159,198,164,74,83,139,60,120,162,152,152,150,148,145,140,146,149,153,156,159,163,165,164,166,167,167,167,164,169,188,133,58,119,156,70,112,166,153,154,152,149,148,143,148,153,155,158,161,163,167,166,168,169,168,172,170,183,183,122,38,128,144,62,111,168,155,156,154,152,149,144,150,155,157,160,164,165,169,169,170,172,171,146,127,195,185,113,37,140,135,49,119,168,157,157,156,155,151,146,152,155,158,163,165,167,169,172,174,171,183,140,54,165,157,58,69,170,130,52,131,171,160,159,158,156,154,148,153,157,160,164,167,169,171,175,175,183,199,155,97,102,59,8,94,153,110,44,147,170,161,159,160,157,156,150,154,157,163,166,169,173,174,176,172,138,163,180,140,76,44,24,88,105,69,46,167,166,164,164,163,161,158,152,156,160,165,168,171,174,174,192,186,103,105,188,126,111,102,93,100,61,37,82,182,166,167,166,164,162,159,153,157,164,166,170,174,174,183,211,199,132,111,151,140,134,117,130,113,36,14,127,180,168,168,167,165,163,161,155,159,166,168,173,176,172,199,194,203,133,100,171,152,112,110,113,88,53,6,138,182,170,170,168,165,165,164,156,160,166,170,173,176,176,218,186,171,151,72,131,118,26,31,112,102,78,14,131,186,171,172,169,167,168,164,158,163,168,172,176,176,186,210,161,151,152,47,12,17,0,0,107,147,95,36,61,186,173,173,171,170,167,165,160,164,168,173,177,179,185,222,203,177,134,97,42,0,41,133,147,158,116,59,12,143,183,173,173,172,169,167,160,165,171,174,178,179,189,225,211,173,125,146,65,27,160,199,174,136,110,62,22,127,188,173,174,173,171,166,161,167,172,175,179,181,190,225,215,163,121,104,46,111,204,173,144,128,72,61,24,157,183,176,176,174,172,168,163,168,174,176,180,182,189,223,208,163,158,90,112,211,187,142,111,126,67,31,44,188,178,178,177,176,172,171,164,169,175,178,184,185,189,218,205,174,165,99,161,209,169,143,119,115,88,5,92,198,180,180,179,176,175,172,164,170,175,180,183,185,189,206,200,177,165,107,149,181,153,136,107,91,66,7,161,190,181,182,180,177,175,172,165,171,176,180,181,188,192,205,199,180,155,109,107,138,125,104,79,71,13,81,200,182,184,183,181,179,176,173,164,169,175,177,192,162,36,141,194,174,116,75,78,94,116,91,61,20,20,182,191,186,184,183,182,180,177,174,163,167,171,183,175,46,0,13,117,136,89,81,90,95,122,81,39,2,141,197,183,185,184,183,181,177,175,173,164,169,177,181,58,0,16,2,12,87,110,101,94,95,106,63,4,101,205,186,187,185,184,182,181,178,176,173,164,168,186,85,8,20,1,7,0,8,63,76,81,78,64,29,31,188,193,189,188,186,185,184,182,180,177,175
15,82,86,90,94,97,102,114,127,136,142,146,150,155,160,165,167,171,173,175,177,179,182,183,183,183,184,185,184,84,87,89,95,98,103,115,127,136,144,148,150,155,161,164,168,173,175,177,180,182,182,184,185,184,186,188,187,84,86,89,95,100,106,119,129,138,146,151,152,157,164,167,172,175,178,179,181,183,185,186,187,188,188,188,188,85,87,90,96,94,100,117,129,139,146,151,153,159,166,169,174,178,179,180,184,186,188,188,189,191,190,190,191,85,87,91,93,129,138,137,136,145,153,152,156,161,167,173,175,176,179,183,186,188,189,190,192,194,194,194,194,85,91,82,138,216,158,149,143,160,172,153,148,150,161,163,174,184,184,186,187,188,192,193,195,196,195,195,195,86,91,82,138,182,115,115,114,154,151,130,131,172,173,146,134,146,170,181,192,196,192,195,197,198,197,198,197,87,88,91,94,111,102,105,100,135,127,108,120,177,177,155,115,133,143,152,148,174,203,195,199,199,199,200,198,87,88,93,97,98,109,120,129,136,131,121,124,165,170,128,120,179,160,159,146,109,165,208,197,202,201,202,201,87,90,93,97,101,111,126,139,150,158,158,158,150,125,103,203,173,173,136,174,149,94,178,208,201,203,204,203,89,89,93,97,99,111,126,138,149,154,164,198,137,104,111,176,167,133,133,174,154,135,88,195,206,204,204,204,87,89,92,96,99,112,126,140,151,153,185,209,168,102,78,80,121,102,158,140,145,155,91,110,216,204,206,206,88,90,92,96,100,113,128,140,151,155,173,213,197,148,125,104,89,106,176,135,145,117,112,67,157,221,205,208,87,90,92,96,100,113,129,141,151,157,187,184,192,175,192,167,107,105,104,113,112,83,72,76,72,195,214,208,88,90,92,96,101,113,128,142,148,176,205,167,165,150,187,160,89,90,93,87,98,80,60,70,57,86,211,212,89,90,93,97,100,114,130,142,151,173,169,128,134,140,166,121,84,91,89,92,102,91,69,68,68,46,127,225,89,89,92,97,101,115,130,142,153,164,179,138,135,105,91,82,73,79,80,82,87,83,83,79,67,64,63,199,89,90,92,96,101,116,131,143,151,172,195,195,165,117,94,117,103,55,84,97,94,89,96,94,75,68,54,127,88,90,93,96,100,116,131,143,154,162,174,194,174,139,130,123,129,61,88,119,111,112,118,108,78,61,67,62,89,89,92,96,101,117,131,144,156,162,168,168,150,123,85,80,120,145,82,118,133,129,120,99,68,65,70,67,89,88,91,95,101,116,132,146,155,162,163,167,146,118,84,64,101,135,92,92,141,138,109,83,66,71,74,72,88,88,91,93,101,116,132,146,156,162,164,171,181,187,189,166,129,156,158,124,120,116,89,78,73,78,77,72,85,86,90,91,99,115,131,144,155,161,163,169,176,180,192,189,99,121,139,151,107,110,96,68,52,51,52,55,83,85,89,89,97,116,131,144,156,161,162,169,177,182,196,161,74,70,47,51,61,64,50,33,24,22,18,11,84,84,88,89,95,114,129,144,156,161,163,170,177,182,199,135,75,79,76,23,28,41,34,27,26,22,15,6,82,83,86,89,95,113,130,144,155,162,165,171,178,184,194,111,73,70,71,62,0,30,35,29,26,22,16,6,80,81,84,86,94,112,129,143,155,162,165,170,177,188,177,80,72,69,62,71,6,3,28,24,15,13,13,3,77,77,82,84,93,111,126,140,152,160,162,169,175,193,142,71,76,65,61,74,10,0,15,17,10,15,18,0
12,79,85,96,111,118,125,131,136,138,141,144,147,150,152,155,157,159,161,162,163,165,165,166,167,167,167,167,167,80,86,97,112,120,127,132,137,139,142,144,147,151,154,156,158,160,161,163,165,166,166,167,168,168,169,168,169,81,86,98,112,121,129,134,137,140,144,145,148,150,155,157,161,153,158,165,166,167,168,168,170,171,171,170,170,82,88,101,115,123,129,134,138,142,146,152,159,131,130,161,168,125,115,159,161,163,170,170,172,172,173,172,172,83,90,103,117,124,131,136,140,145,145,177,175,137,109,145,170,132,96,114,126,116,152,174,173,174,174,174,173,84,91,104,118,125,131,137,141,146,147,196,187,152,120,129,170,144,114,87,117,101,107,167,175,175,175,176,176,86,93,107,120,126,132,138,142,145,154,199,203,167,127,123,175,149,119,81,110,110,87,147,178,176,176,178,178,87,94,109,120,127,134,140,143,145,166,179,195,177,130,115,176,149,115,77,107,110,87,153,179,179,178,179,179,88,95,109,121,129,136,139,143,153,170,168,161,162,119,97,156,141,105,75,107,105,92,164,180,180,180,180,180,88,96,111,121,129,135,152,188,192,142,108,108,138,103,80,122,113,90,76,105,98,100,174,181,182,181,181,181,89,98,114,122,129,135,183,213,177,125,98,78,120,102,74,105,101,85,75,97,92,106,179,182,183,182,182,182,90,100,114,123,130,142,191,172,155,128,107,78,105,122,80,100,122,96,85,118,106,112,179,183,183,183,184,184,90,101,115,124,130,153,186,146,140,137,113,86,65,89,64,79,117,96,90,134,117,88,135,185,185,185,185,185,91,102,116,124,130,161,182,145,122,135,113,95,50,41,60,87,98,93,113,120,99,80,96,177,186,186,186,186,91,103,117,124,130,166,196,159,127,114,101,85,47,56,99,136,145,137,135,120,103,95,104,179,187,186,186,186,92,106,119,126,130,171,196,162,138,106,87,80,66,91,139,166,168,156,140,117,104,95,128,186,187,187,187,187,93,107,121,127,131,172,193,169,145,114,99,112,110,143,172,179,174,153,129,112,95,91,158,188,188,188,188,189,95,108,120,128,133,167,186,165,143,119,115,124,124,171,178,179,172,145,121,107,92,109,181,188,189,189,189,189,96,109,120,129,135,157,182,161,140,123,119,115,130,168,171,174,162,134,113,101,91,144,189,189,190,189,190,190,97,111,120,129,137,150,180,157,142,132,125,123,144,163,168,166,146,123,106,94,99,173,189,190,191,191,192,192,98,113,123,130,138,144,173,161,152,148,135,129,148,159,161,147,128,111,99,91,126,187,189,190,192,192,193,193,100,113,122,131,139,142,165,169,155,146,133,123,131,145,145,128,109,100,95,98,165,190,190,190,192,194,194,194,102,115,122,131,138,144,158,176,152,140,126,114,112,123,122,112,99,96,92,133,187,190,191,192,193,194,194,194,102,115,123,131,139,145,153,183,162,138,119,109,112,114,113,107,96,93,103,173,189,190,192,193,194,194,194,195,102,115,123,131,139,144,152,184,174,142,122,119,124,114,112,109,94,84,129,188,190,191,193,194,195,195,195,195,103,116,123,131,140,146,164,193,187,153,138,132,129,114,105,99,88,75,139,191,190,192,193,194,195,195,195,195,104,117,124,132,139,163,186,184,199,162,146,134,126,111,99,90,84,72,143,191,190,192,194,194,195,196,196,196,105,117,125,133,141,190,198,161,188,165,150,132,121,108,91,87,82,74,151,192,191,193,194,195,195,196,196,196
12,193,195,195,196,197,198,199,200,199,200,200,201,201,201,201,202,202,201,202,201,200,201,201,201,200,200,200,199,195,196,197,199,199,199,201,201,200,201,201,202,202,202,202,203,202,202,203,203,202,201,201,202,201,201,201,201,195,196,198,200,200,201,203,203,202,203,203,204,204,204,204,205,204,205,206,204,203,203,203,203,203,202,202,202,196,198,199,200,201,202,204,205,202,204,205,205,205,204,205,206,206,207,206,205,205,206,205,204,204,205,203,203,199,200,201,202,202,202,205,206,204,204,205,207,205,214,207,202,209,206,208,209,207,207,207,207,206,206,205,205,201,202,203,203,204,205,205,207,205,215,218,201,214,231,217,169,182,218,209,193,209,207,208,208,208,207,208,206,201,202,204,204,206,207,208,204,220,251,234,186,202,239,222,152,129,220,210,154,176,213,207,210,209,209,209,208,202,203,205,207,207,207,209,201,229,255,238,185,188,245,220,161,119,217,202,152,124,211,212,210,210,210,211,210,202,205,207,208,208,210,209,205,236,252,239,184,184,248,216,176,148,221,185,137,106,196,218,212,212,211,211,210,204,207,208,208,210,206,223,234,206,219,239,213,163,243,226,175,168,222,194,132,98,185,221,212,213,213,213,212,204,207,208,209,209,210,253,236,182,170,212,200,139,229,224,141,173,230,178,123,95,179,223,213,215,214,213,212,207,208,211,212,206,232,255,239,206,146,184,151,101,151,156,112,180,190,128,100,94,176,226,215,217,215,215,214,208,210,211,213,209,244,252,245,214,165,149,146,90,83,102,183,208,184,137,139,123,180,227,216,217,217,215,215,210,211,214,212,214,248,227,244,219,189,133,112,122,103,183,251,244,220,186,185,149,182,228,217,218,217,217,216,210,213,214,211,221,255,237,219,221,192,147,111,112,169,255,249,240,220,189,175,139,163,229,219,220,217,217,217,212,214,215,211,237,255,244,197,215,192,159,118,106,240,255,249,239,221,194,162,127,164,231,220,221,218,218,219,213,215,217,211,242,255,249,224,197,191,203,147,145,255,251,249,238,217,182,157,122,167,232,220,223,221,220,221,214,216,219,214,233,255,250,228,193,171,194,186,218,255,250,249,237,211,180,154,125,147,230,221,224,223,221,222,215,216,219,214,236,255,252,235,220,204,185,229,250,255,246,247,237,206,185,148,123,138,232,224,223,223,222,222,216,217,220,216,239,255,254,246,235,229,212,230,241,255,241,240,231,209,179,145,111,161,236,224,224,224,224,223,216,218,221,217,235,255,254,252,242,232,218,224,231,252,238,228,221,210,166,138,108,205,230,225,227,225,226,224,217,219,222,220,228,255,254,253,244,226,216,224,225,244,231,217,216,199,156,117,138,235,224,226,227,227,227,225,217,218,221,222,221,249,254,250,240,219,208,219,220,232,223,213,206,178,137,102,198,235,227,228,228,227,227,227,218,221,224,228,225,248,255,245,234,219,214,223,230,246,232,215,194,158,106,140,237,228,229,229,229,228,228,227,217,211,206,200,186,197,192,166,162,160,158,164,159,166,153,143,138,123,96,215,248,231,231,231,231,230,231,229,159,154,145,137,118,107,104,97,89,82,75,72,58,57,57,55,55,59,63,115,182,232,233,230,230,230,230,230,137,138,140,131,119,111,108,100,93,86,81,72,63,61,61,58,54,51,48,39,44,211,235,229,230,229,228,228,153,137,139,129,119,110,104,98,92,82,77,70,62,59,60,58,52,48,52,38,104,238,227,231,230,229,228,228
23,207,209,209,212,213,213,213,214,216,216,219,219,220,217,214,215,216,217,218,216,217,217,218,218,217,218,215,214,209,210,211,213,213,214,216,217,218,219,218,216,217,220,232,243,236,213,212,219,220,217,218,219,218,219,217,216,210,211,212,214,216,216,217,218,220,219,222,230,241,255,255,253,237,223,210,211,174,199,222,221,220,220,219,218,211,213,215,215,218,219,218,220,221,219,255,255,249,240,237,212,171,174,170,153,153,216,222,221,221,221,221,221,213,214,215,216,218,219,221,222,218,228,255,255,211,212,184,157,188,189,180,189,219,223,221,222,223,223,223,222,214,214,216,219,220,221,223,224,216,238,255,246,190,150,168,207,228,228,229,229,224,223,223,225,224,223,223,223,216,215,218,220,221,222,225,225,218,255,255,242,200,172,231,229,237,237,215,224,224,226,225,227,226,225,225,224,217,218,220,221,222,224,225,224,224,255,255,252,190,179,254,255,255,255,181,219,238,227,226,228,229,227,228,227,218,221,222,222,223,226,228,221,235,255,254,254,208,248,255,255,255,234,164,159,188,227,230,229,228,229,228,227,220,222,223,224,225,227,229,220,251,255,253,255,255,255,255,253,238,224,227,184,114,184,237,227,228,230,229,228,222,223,225,226,227,227,228,225,255,255,255,255,255,255,255,254,255,255,255,221,138,147,241,231,233,232,231,230,223,225,227,228,229,229,225,253,255,255,255,255,255,255,255,255,255,240,224,191,140,124,197,238,232,235,232,232,224,225,228,228,230,224,249,255,255,255,255,255,254,255,255,250,239,225,227,210,136,121,142,234,235,235,234,234,226,227,230,230,230,224,255,255,255,255,255,251,246,251,252,248,239,233,236,220,144,114,151,240,235,235,236,236,227,228,230,232,232,230,254,255,255,255,255,255,255,254,245,239,228,223,219,189,146,114,187,246,235,237,237,237,228,229,230,233,238,232,248,255,255,255,255,255,255,241,208,210,201,191,178,177,144,131,225,244,238,238,238,237,230,231,231,234,238,233,244,255,255,255,255,255,254,228,181,150,135,139,171,176,138,158,247,241,241,240,238,238,231,232,233,235,237,235,241,255,255,255,255,255,240,214,187,155,67,108,177,174,134,192,252,241,242,242,241,240,232,234,235,236,237,236,239,255,255,255,255,254,255,255,184,113,87,139,167,153,128,220,248,241,243,244,243,240,234,235,236,237,238,238,238,255,255,255,255,255,255,242,181,113,108,153,139,127,149,248,244,242,244,244,243,243,235,237,236,238,241,241,238,255,255,255,255,255,255,227,184,144,104,120,128,130,165,255,241,243,245,246,244,244,235,237,238,239,241,244,239,255,255,255,255,255,255,229,183,153,103,115,140,131,182,255,244,246,246,248,246,245,236,237,238,241,242,244,240,255,255,255,255,255,255,229,185,159,123,126,147,131,209,255,245,248,248,249,248,248,236,238,240,242,243,245,240,255,255,255,255,255,255,232,190,163,133,136,149,137,235,250,247,249,249,249,249,248,236,238,241,242,244,246,240,255,255,255,255,255,250,222,187,160,141,139,138,163,255,247,249,249,250,250,249,248,238,240,241,243,244,248,242,255,255,255,255,254,237,212,179,158,149,144,128,218,255,249,251,251,251,251,250,250,240,242,243,244,244,249,244,255,255,255,255,241,220,193,171,162,154,133,160,255,251,252,251,252,252,251,251,250,241,242,244,245,246,250,245,255,255,255,255,239,218,194,172,160,150,142,237,255,251,251,252,253,253,252,252,250
1,72,20,49,63,71,80,96,112,123,128,133,136,138,142,146,149,151,153,156,158,159,160,160,162,163,162,163,164,64,20,53,64,71,82,99,113,124,130,134,137,140,143,151,146,123,152,157,159,159,161,161,163,164,164,164,165,54,22,57,65,73,84,103,117,125,131,137,139,141,144,161,145,91,135,139,158,161,163,163,165,165,165,165,165,44,27,59,66,75,85,106,119,126,132,138,140,147,142,154,141,97,132,106,150,164,165,166,166,166,166,166,166,34,31,60,68,77,88,108,120,128,135,139,141,160,133,138,135,103,141,103,141,167,166,167,168,168,167,167,168,25,37,62,69,78,90,110,122,129,135,140,144,166,123,141,137,107,143,104,133,168,167,168,169,169,169,169,169,17,42,63,70,79,93,112,123,129,135,144,146,167,113,137,134,104,146,110,130,169,168,170,171,171,171,171,171,16,48,66,72,81,96,114,124,131,138,155,133,154,107,141,135,103,141,109,127,171,171,172,173,172,173,173,173,18,52,66,73,83,98,116,125,132,147,149,117,145,110,158,137,103,148,115,123,173,173,174,174,174,175,175,174,21,56,67,73,83,100,117,126,133,161,135,111,139,114,162,129,108,165,122,125,173,174,175,176,176,176,176,176,26,59,68,75,85,103,119,128,138,170,121,121,142,112,144,108,108,161,114,127,174,176,177,178,177,178,178,178,31,62,69,76,87,105,120,129,146,169,108,118,128,102,132,102,120,155,107,130,176,177,179,178,179,180,179,180,37,64,69,77,88,106,120,128,156,167,104,109,135,132,131,145,152,150,104,132,177,179,180,180,180,181,181,181,42,66,71,79,89,108,121,129,168,158,113,118,156,148,133,149,144,137,99,131,180,180,181,182,182,181,181,182,47,67,72,79,91,111,121,132,179,167,149,146,167,162,153,142,130,118,93,130,181,180,181,183,183,184,183,183,52,67,72,80,92,112,121,144,186,157,145,144,139,142,168,166,149,123,91,127,181,181,183,184,185,185,185,185,57,68,74,81,93,113,121,162,180,139,119,113,98,118,165,168,158,136,98,121,182,182,183,185,185,186,186,186,61,68,75,82,96,115,123,172,175,139,130,134,131,166,178,169,146,125,93,98,179,184,185,186,186,187,187,187,64,69,75,83,97,117,125,172,180,151,136,142,170,198,184,162,134,103,84,79,165,187,187,187,188,188,188,188,66,69,75,83,98,116,125,168,190,164,145,143,174,203,185,153,126,92,75,76,163,188,187,188,189,189,189,189,68,70,77,84,99,116,125,159,191,166,149,144,166,195,178,147,117,91,72,92,178,188,188,190,190,190,190,191,68,71,78,86,102,118,128,150,185,164,154,147,156,182,169,141,110,88,72,131,188,190,190,191,192,192,192,192,69,71,78,86,103,118,129,143,176,167,162,155,166,175,153,125,100,82,81,165,189,191,192,192,193,193,194,193,68,71,78,87,104,118,128,139,164,166,160,150,156,161,136,112,94,77,98,182,190,192,192,193,194,194,195,194,68,71,78,85,104,118,129,138,152,163,156,147,137,138,126,107,94,74,115,187,191,192,193,195,195,195,195,195,68,71,77,84,103,116,127,137,146,162,157,145,137,135,131,115,93,73,136,188,189,191,193,194,194,194,194,194,68,70,75,84,103,115,126,136,160,167,159,156,146,136,126,113,88,71,146,189,188,190,192,193,194,195,195,194,68,69,75,84,103,115,127,139,179,177,144,156,147,132,112,99,84,66,135,188,188,191,193,194,195,195,195,195
2,95,108,114,115,119,123,128,132,136,138,140,138,142,147,150,147,154,157,159,156,157,159,159,159,159,160,160,161,98,109,115,116,122,126,129,134,136,135,140,162,180,178,163,160,162,134,110,156,155,154,161,157,159,159,159,159,98,109,116,119,124,129,133,133,144,163,176,164,137,119,84,82,105,79,48,91,99,80,144,162,158,159,158,158,100,110,116,120,125,132,131,147,198,186,133,93,75,73,57,53,56,56,58,63,52,53,143,164,158,158,158,158,103,113,118,121,128,130,152,201,178,117,57,43,48,49,47,50,46,39,60,75,90,143,163,158,158,157,157,157,105,115,120,124,131,135,199,186,97,59,44,30,47,38,36,42,47,81,142,161,165,164,161,160,160,161,159,159,108,117,121,128,131,150,212,147,64,44,41,42,51,36,49,45,133,172,166,164,164,164,164,164,161,160,162,160,110,119,124,131,131,163,211,129,65,42,34,45,41,45,46,78,178,168,168,169,168,169,170,165,170,143,158,165,113,122,126,133,132,184,200,101,46,35,37,35,30,43,38,137,180,172,173,172,174,175,169,174,175,112,159,171,117,125,128,136,135,205,188,102,64,52,50,37,38,38,77,184,176,177,177,177,177,176,175,186,142,95,175,173,120,129,132,135,148,222,184,114,76,60,48,41,59,44,120,191,178,181,181,180,181,177,177,175,107,114,188,175,123,130,136,136,177,229,178,115,71,60,42,44,55,41,150,190,182,184,185,183,187,171,163,157,80,124,192,178,127,133,137,140,187,226,173,110,70,58,42,44,47,43,159,196,186,187,186,188,184,158,165,133,68,113,196,182,129,135,140,142,188,227,168,105,70,54,43,39,50,55,108,184,182,192,197,194,169,169,165,120,62,144,196,186,131,137,142,143,183,226,169,115,78,56,43,42,60,79,73,97,118,123,157,160,164,171,162,99,105,199,189,191,133,139,145,145,187,224,169,119,81,61,44,47,77,90,88,105,124,126,109,138,169,162,127,84,186,198,193,193,136,140,147,148,198,223,169,124,88,64,43,56,84,82,89,112,131,143,139,128,154,144,79,151,207,196,198,196,139,143,150,152,205,218,169,128,98,69,46,62,83,84,111,130,139,130,128,114,116,92,111,211,198,200,200,199,141,145,154,154,204,211,168,133,105,72,52,66,88,102,131,135,131,118,103,96,81,65,191,208,202,203,203,202,144,148,155,159,205,203,165,138,113,75,58,69,90,109,124,128,117,105,92,75,59,156,215,202,204,205,204,203,146,149,157,160,196,193,162,146,122,79,69,72,88,109,113,118,110,96,76,81,178,217,206,209,207,208,208,207,149,151,161,161,189,187,167,157,125,86,78,72,91,105,111,111,104,78,94,203,219,208,211,210,210,210,210,210,152,155,162,165,191,188,174,156,120,91,85,74,97,101,103,102,80,80,199,219,208,212,211,212,212,211,211,211,154,157,165,172,201,191,171,147,117,98,90,74,92,93,89,73,83,189,220,211,214,213,213,213,213,212,212,211,157,159,166,178,212,192,178,149,117,98,87,76,84,90,60,111,205,221,213,216,216,216,215,214,214,212,213,218,158,162,166,186,213,192,187,150,113,93,83,75,84,63,106,218,219,214,217,217,217,217,216,215,218,226,223,197,159,163,169,188,202,185,171,135,96,81,75,77,72,87,206,216,217,218,218,218,218,218,220,225,210,162,100,56,161,165,171,187,188,177,169,136,90,80,82,87,61,151,220,215,219,220,220,219,218,221,202,137,76,38,29,31
19,55,59,64,68,76,83,89,94,97,100,102,105,108,111,113,115,117,119,120,121,123,126,126,127,128,128,130,130,55,59,64,69,77,83,90,95,99,101,102,105,109,112,114,118,119,120,122,124,125,126,127,130,130,131,132,131,57,61,66,71,79,86,92,97,101,102,104,107,110,113,115,119,120,122,125,125,127,128,129,131,132,133,134,133,57,62,68,72,80,88,93,99,102,103,106,108,112,116,119,121,123,125,125,127,130,131,133,133,134,135,133,136,58,63,68,73,82,88,95,100,103,106,107,110,113,117,119,123,126,128,126,129,131,132,133,133,135,133,141,131,58,64,69,74,83,90,97,101,105,107,108,112,117,117,129,128,105,120,133,130,132,134,134,135,133,152,162,80,59,64,70,75,84,91,99,103,106,107,110,113,118,116,160,136,96,72,124,132,132,134,142,144,152,157,104,66,59,65,70,76,85,92,99,105,107,109,111,116,119,115,149,151,106,89,128,145,137,141,152,152,137,94,71,122,60,66,70,77,87,93,99,105,108,108,115,111,117,123,136,149,139,146,144,139,131,118,130,116,77,82,127,147,61,67,71,78,89,95,101,107,105,133,149,115,108,115,127,133,128,119,110,117,103,85,84,86,113,145,145,142,62,67,71,78,88,95,102,107,109,162,135,120,120,125,134,134,124,112,109,98,98,68,126,144,150,144,145,146,61,68,71,80,88,95,104,103,122,150,111,110,118,132,138,134,131,125,107,71,63,82,154,144,144,147,147,146,63,68,73,81,90,96,104,101,136,145,119,117,123,122,114,109,112,99,83,65,47,103,152,144,147,147,147,147,64,69,73,81,90,97,104,105,171,159,138,136,136,128,125,119,105,64,59,62,50,124,152,147,149,148,150,150,64,69,74,84,93,100,105,111,171,154,136,122,115,122,124,117,95,61,55,64,58,136,150,147,150,150,151,151,64,69,74,84,93,101,107,111,154,146,122,105,84,81,98,94,89,65,58,60,81,151,147,149,150,150,152,152,65,69,74,86,93,101,107,110,144,145,123,80,70,46,37,73,94,68,61,63,80,154,149,150,150,151,152,152,66,69,75,86,95,103,109,109,143,148,123,84,57,25,64,94,94,64,60,60,60,143,151,149,151,153,154,154,66,69,76,87,95,103,111,104,140,150,124,96,74,47,50,59,51,45,51,60,60,136,155,151,152,153,153,154,66,69,77,87,95,104,113,103,144,152,125,102,77,66,53,39,39,50,56,61,62,138,156,152,153,154,154,154,66,70,78,87,96,105,113,103,144,151,124,100,80,71,71,57,48,51,57,59,69,146,153,154,155,156,156,156,67,71,79,90,98,105,113,104,135,145,120,99,78,70,69,58,49,55,61,59,87,157,151,156,156,156,156,156,67,71,80,90,99,105,114,104,133,140,116,93,77,70,67,59,55,60,67,56,117,161,154,156,157,157,158,158,65,71,81,90,99,107,114,111,138,135,112,90,75,68,68,65,62,64,59,76,151,154,155,157,157,158,159,159,66,71,82,91,100,107,111,114,148,134,108,85,73,69,71,68,64,59,83,142,154,153,156,157,158,158,159,159,67,71,83,92,100,109,111,116,145,128,110,91,76,72,72,69,60,78,149,153,152,155,157,158,159,159,159,159,67,72,83,92,101,110,110,125,138,121,107,93,77,67,64,65,54,115,154,151,155,156,158,159,159,160,160,161,67,72,82,92,101,111,111,141,138,118,99,84,70,60,57,60,58,129,152,153,156,157,158,159,159,160,162,162
19,162,164,165,167,169,169,170,171,172,172,172,173,173,172,172,171,172,171,171,170,169,170,170,167,167,167,165,164,164,165,166,168,170,171,171,172,174,174,174,174,175,174,174,173,173,173,172,172,171,171,171,170,169,169,167,167,165,167,169,171,172,172,174,175,176,176,175,176,175,176,176,175,175,174,174,174,173,172,172,172,170,170,168,168,166,168,170,171,173,174,176,175,177,176,177,177,177,177,177,176,177,175,175,175,173,173,172,172,172,172,170,169,166,169,170,172,173,175,176,176,178,179,178,178,179,179,178,177,178,177,176,175,175,175,174,174,172,172,171,170,168,170,172,173,174,176,177,178,180,181,181,181,181,180,179,179,178,178,177,177,177,175,176,175,174,174,173,171,170,171,174,175,176,177,178,180,181,181,181,181,180,180,180,175,183,180,178,179,178,177,176,176,176,175,174,173,171,172,175,176,176,178,180,181,183,183,182,183,188,182,193,164,136,183,179,178,179,178,178,177,176,175,175,175,172,173,175,177,178,181,181,182,182,184,186,164,147,168,197,183,99,150,189,185,183,182,182,180,178,179,177,175,172,174,177,178,181,182,182,183,184,183,174,146,112,115,130,140,124,113,133,142,164,168,172,174,177,172,168,174,173,176,178,180,182,182,184,186,183,173,170,176,170,128,83,105,127,119,117,104,112,127,135,123,142,126,131,170,175,177,178,181,181,183,182,179,165,170,183,185,156,107,80,76,95,106,113,104,107,122,127,124,127,130,126,159,175,177,180,181,183,182,180,172,168,171,174,175,159,122,80,74,74,77,80,77,81,87,96,96,95,100,104,119,176,177,180,182,182,180,179,177,174,166,173,180,180,150,95,72,77,67,86,117,133,135,134,134,141,144,153,169,177,179,181,183,182,180,179,178,176,174,179,182,179,152,98,73,77,66,135,202,191,191,190,191,191,189,188,185,178,179,179,182,180,182,180,180,181,178,176,176,170,157,111,73,74,75,80,183,190,186,184,184,185,184,182,184,175,177,186,186,184,182,183,184,183,176,171,180,178,168,125,76,72,79,61,125,200,186,187,187,186,185,185,185,177,198,200,189,183,184,186,183,177,175,179,184,180,153,117,84,70,82,63,103,200,187,188,189,188,186,186,185,197,204,195,185,181,182,179,176,174,173,168,168,159,134,112,92,77,79,68,154,199,189,189,188,189,188,187,186,203,200,187,182,181,178,176,175,169,167,159,155,150,135,111,95,88,80,58,158,200,190,190,189,188,188,188,186,200,196,188,178,173,174,170,172,170,164,159,152,146,152,115,92,93,81,74,182,196,191,191,191,189,188,188,187,198,194,185,174,163,165,163,164,168,160,153,136,133,147,103,87,98,79,98,204,190,192,192,191,190,189,189,188,194,189,177,163,152,150,153,152,157,148,132,112,113,105,68,86,100,72,134,201,191,192,192,192,191,191,189,189,185,178,161,149,142,128,131,137,141,124,106,103,99,73,81,93,88,142,198,195,193,193,193,192,192,191,190,189,184,160,155,148,127,111,102,111,114,104,94,88,75,72,88,115,162,201,194,195,193,193,193,193,192,192,191,189,156,146,157,144,118,94,89,89,90,81,109,158,149,152,174,193,200,194,194,194,194,193,193,193,192,191,190,189,110,148,153,132,107,77,60,60,102,149,189,203,202,201,199,196,194,195,195,195,195,194,193,191,190,190,189,188,66,102,100,75,57,42,32,30,175,208,195,195,195,196,195,196,195,196,196,195,195,195,193,192,192,190,190,189
13,151,153,157,161,164,168,171,173,176,177,178,180,182,181,183,183,181,185,187,184,185,185,184,185,186,186,186,186,152,156,160,162,165,170,172,175,178,179,181,183,183,183,184,183,183,180,177,188,186,187,186,187,188,188,189,189,155,157,162,165,167,171,174,176,179,179,182,186,185,184,188,186,190,163,106,120,195,189,189,188,188,188,190,190,156,160,163,167,169,173,175,177,180,180,183,185,184,186,186,197,208,164,101,61,197,183,193,194,188,190,191,192,159,161,164,169,171,175,179,181,181,182,185,184,191,162,128,151,203,158,98,56,125,109,110,166,199,193,194,193,160,162,165,170,174,177,179,181,184,186,187,195,224,160,110,97,192,149,102,31,106,128,64,73,202,193,196,193,160,164,167,171,175,179,181,183,187,187,185,183,206,189,133,104,182,138,79,57,174,145,71,45,177,201,194,195,162,165,169,172,177,180,183,186,185,187,188,127,90,149,150,90,176,167,62,108,190,131,74,46,181,202,197,199,163,167,171,173,178,181,184,186,187,205,186,134,87,81,147,76,197,184,78,130,180,122,68,51,194,201,200,200,165,169,173,177,181,183,185,185,202,187,188,155,108,65,130,91,102,124,46,128,210,143,56,63,206,201,203,202,166,170,175,178,181,184,186,191,199,148,180,158,106,53,101,118,16,0,39,142,183,114,27,91,214,199,203,205,166,171,175,179,181,185,186,198,199,152,145,151,106,45,78,113,49,0,57,160,135,77,35,146,217,201,203,204,167,171,174,179,182,186,190,205,193,150,124,163,97,53,63,98,56,30,117,159,155,143,100,95,213,205,205,205,169,171,175,179,184,186,188,211,194,158,114,152,94,53,53,120,76,106,203,160,136,119,97,52,169,217,204,206,170,172,175,180,185,187,189,211,190,155,110,131,107,69,56,157,112,160,193,172,138,99,77,53,176,217,205,206,170,173,177,181,185,188,193,211,192,167,141,109,105,91,34,144,170,203,187,159,129,88,66,67,203,210,209,208,171,175,179,182,186,188,195,213,195,172,153,125,89,71,86,194,202,208,182,149,117,82,58,86,217,210,213,212,171,175,178,181,185,188,194,209,194,172,157,151,115,105,124,196,203,200,165,130,100,74,51,141,221,210,212,211,170,174,178,181,185,188,190,200,194,180,164,158,127,106,105,186,207,185,143,112,89,64,75,206,211,210,211,211,170,174,178,182,186,189,191,192,192,183,165,161,137,110,113,179,202,166,132,100,79,48,127,220,207,210,210,210,172,175,179,183,186,189,192,193,195,187,166,158,141,113,118,164,179,144,118,90,71,50,175,213,209,211,211,211,173,177,179,185,186,187,191,194,197,185,163,154,134,105,119,156,142,125,101,79,60,91,213,208,211,211,212,212,174,176,179,183,187,189,191,194,197,173,153,140,112,96,128,140,116,112,86,72,52,168,217,208,212,212,212,213,173,175,179,181,187,191,187,193,198,162,151,128,107,110,134,134,114,102,84,56,114,215,209,211,212,212,213,214,177,182,185,188,192,198,185,204,199,166,159,129,114,129,145,119,108,81,67,66,190,214,208,210,211,211,212,212,131,139,146,154,159,159,170,209,202,174,172,130,123,142,132,104,92,70,44,135,222,213,216,217,220,221,220,218,71,74,76,77,80,68,129,204,181,172,171,134,127,138,123,91,73,59,51,101,126,127,134,134,139,147,150,162,85,87,85,83,86,69,141,201,167,156,151,127,118,135,121,75,66,52,58,78,78,79,79,89,111,128,129,144
17,148,148,151,152,154,156,158,158,159,160,162,164,164,164,165,166,168,169,170,170,170,171,172,171,171,172,171,172,147,148,151,152,154,157,159,159,160,162,163,164,165,165,166,168,169,171,171,172,173,174,173,172,173,172,172,173,147,149,151,154,157,158,159,160,161,163,163,166,167,167,167,169,170,171,165,158,166,146,167,174,174,173,174,174,149,150,152,155,158,159,160,162,162,164,165,166,166,168,168,171,171,174,168,128,118,107,137,179,175,174,174,174,149,151,154,156,158,160,162,163,164,165,168,169,169,169,171,172,172,175,187,145,95,87,138,180,176,176,176,175,150,152,154,157,159,161,163,164,165,167,167,168,170,170,172,173,173,173,191,155,108,74,151,180,176,177,176,176,151,153,156,157,159,162,164,164,165,166,167,170,170,172,174,174,175,174,192,169,127,83,168,179,177,177,176,176,151,154,157,158,159,161,164,165,167,168,168,170,172,157,159,177,176,175,196,170,133,107,180,179,180,178,178,177,152,156,157,158,160,163,165,166,167,169,169,169,175,159,121,150,179,181,197,165,132,116,182,180,179,179,179,178,152,155,158,159,161,163,164,166,167,167,165,168,181,164,144,126,152,174,192,166,129,112,181,180,180,180,179,179,153,156,158,159,161,164,166,165,172,175,147,129,168,183,180,172,135,106,156,160,135,114,180,181,182,181,180,179,154,156,158,160,164,165,167,166,186,185,144,117,159,166,189,187,158,107,106,138,126,111,180,181,181,181,180,180,153,157,159,162,164,165,167,171,177,160,166,140,142,123,146,197,180,133,89,112,112,105,179,182,182,181,180,180,155,158,159,162,163,165,167,176,184,142,136,126,93,83,89,199,194,154,97,92,97,97,178,183,183,182,181,181,156,158,160,162,164,166,167,182,171,133,118,127,100,98,97,186,203,169,115,88,94,93,174,184,182,183,183,182,156,158,161,164,165,167,166,186,178,160,143,134,116,129,123,171,209,173,131,91,93,92,168,185,183,184,183,183,157,159,162,164,165,167,169,193,170,147,140,131,127,147,152,188,193,173,141,96,86,89,169,185,184,184,184,184,156,159,162,164,166,168,175,189,156,138,132,131,141,147,198,207,174,161,140,95,81,83,171,187,185,184,184,184,157,159,161,165,168,168,182,192,161,145,133,135,144,175,215,203,174,152,131,95,78,84,176,186,187,185,184,184,157,159,162,165,168,168,188,194,166,151,133,139,151,204,203,194,170,146,125,92,79,95,186,185,186,185,184,184,157,160,163,166,168,166,194,192,170,160,141,142,172,215,199,189,163,134,120,89,76,125,190,185,185,185,185,185,157,160,164,168,169,165,201,192,175,167,155,144,184,211,191,186,163,126,111,87,80,165,187,185,186,185,184,184,158,161,165,167,170,167,204,198,179,177,167,150,184,202,185,178,162,125,104,82,104,188,185,186,186,185,185,185,158,162,165,167,169,167,197,204,184,181,170,161,170,197,180,177,154,123,97,78,147,190,185,186,185,185,186,185,158,162,166,168,169,167,188,207,187,176,167,168,166,188,173,180,159,117,95,80,169,189,186,186,186,186,186,186,159,163,165,167,170,170,182,205,184,174,162,165,169,178,167,183,161,117,94,88,182,188,187,188,188,187,186,186,159,162,164,167,170,170,184,200,182,173,162,162,168,176,164,181,152,114,93,116,191,188,187,188,188,187,186,186,158,161,164,167,171,169,187,201,191,175,166,168,172,175,160,175,139,107,88,155,191,187,188,188,187,187,186,186
8,185,186,187,188,188,189,190,191,191,191,190,190,191,191,191,191,190,189,188,186,184,182,181,180,179,178,176,174,187,188,188,189,190,191,192,193,193,194,193,190,192,192,193,192,191,190,189,188,186,184,183,182,181,179,178,176,189,190,190,191,193,194,195,195,195,200,199,180,190,195,195,195,194,192,191,190,189,187,186,185,183,181,180,178,190,191,192,193,195,196,196,197,196,208,202,167,188,197,197,197,195,194,193,192,192,190,188,187,185,184,183,181,192,193,194,195,197,198,198,199,199,215,203,165,191,200,198,198,197,196,194,194,193,192,190,188,187,186,185,184,194,195,197,198,199,199,200,201,202,221,207,170,200,211,195,193,203,193,188,194,194,197,189,183,189,188,187,186,197,198,199,200,201,201,201,202,204,225,208,173,216,229,195,181,210,190,170,189,192,202,187,169,189,190,189,188,198,200,201,201,202,202,202,203,205,227,212,181,228,240,202,175,206,191,160,185,190,197,188,162,184,192,191,189,200,201,202,203,203,204,205,205,208,230,225,206,237,244,208,172,199,191,154,184,185,178,189,166,170,188,192,190,201,202,203,204,206,206,207,207,211,233,232,229,237,237,207,166,190,186,152,185,174,152,180,178,157,175,193,192,202,203,204,206,207,207,207,207,217,235,229,229,230,226,201,162,186,179,150,178,160,141,176,189,156,172,194,194,203,204,206,207,208,209,209,209,225,235,214,208,208,213,204,164,183,174,138,160,149,145,190,196,160,181,196,196,204,206,207,208,209,210,210,211,232,237,202,185,183,192,200,166,185,173,134,156,146,163,205,191,162,189,199,197,206,208,209,210,211,211,212,214,236,241,206,175,170,177,185,181,190,174,153,171,164,190,206,173,162,195,199,196,207,209,210,211,212,212,214,217,238,244,213,178,162,171,189,202,197,194,201,206,198,196,186,156,158,182,180,168,207,209,210,211,212,213,215,217,239,246,222,189,165,170,195,213,221,230,233,223,201,178,158,137,131,133,126,116,207,209,210,211,212,213,214,217,238,249,231,204,176,172,200,227,242,242,233,216,189,159,137,121,116,112,106,102,208,209,211,212,214,214,215,217,237,251,240,218,194,183,206,234,245,237,222,200,170,142,122,112,106,100,95,92,210,211,212,214,215,215,216,217,233,251,246,228,206,192,208,235,239,226,206,178,148,124,109,99,87,76,67,59,211,212,213,214,216,216,217,218,229,250,247,230,208,194,205,227,226,209,186,155,126,108,98,87,74,63,57,48,211,213,214,215,216,218,219,216,223,247,240,222,203,191,200,212,205,186,162,132,110,102,95,83,67,55,52,49,210,211,213,213,215,216,216,189,191,235,221,207,192,186,195,196,182,159,133,107,96,96,96,90,73,54,46,46,180,182,183,185,187,189,188,140,133,206,211,202,191,186,188,180,159,132,101,78,78,86,87,91,84,61,45,42,130,129,129,130,131,133,137,118,99,157,196,199,191,182,174,161,136,104,64,49,60,73,75,83,90,73,50,40,118,118,120,120,119,119,124,124,111,126,158,175,176,165,152,137,110,73,34,34,56,68,67,72,86,81,59,42,121,121,123,123,124,124,128,126,114,115,121,130,139,137,127,115,86,46,26,48,74,77,60,63,78,84,69,50,124,122,124,125,125,126,130,127,113,109,107,104,103,102,100,94,70,38,38,65,82,75,52,55,70,83,76,60,124,123,125,126,127,128,132,126,114,109,106,100,93,86,82,78,67,54,54,61,64,55,41,47,63,78,79,67
20,112,114,116,118,121,124,125,127,128,130,131,133,134,134,136,138,138,137,137,139,140,140,139,139,139,139,140,140,114,116,118,120,123,125,126,129,130,130,131,134,135,135,139,123,129,142,141,140,141,140,141,141,141,142,142,141,114,117,119,122,125,126,128,130,131,131,133,136,137,135,153,105,94,119,120,146,143,144,144,143,142,143,143,143,115,119,121,122,125,127,130,131,132,134,137,138,138,138,161,110,118,122,79,144,145,144,144,143,143,144,145,142,116,119,121,123,126,128,131,132,132,135,138,139,138,139,157,109,132,137,74,136,147,145,145,145,145,146,146,144,118,120,122,125,128,130,131,133,135,136,138,138,137,145,169,121,135,141,81,136,150,147,148,147,147,147,147,146,119,121,123,125,128,129,132,135,137,137,139,141,136,154,168,119,150,144,87,131,152,147,148,148,148,148,148,147,119,121,124,127,129,130,133,135,138,138,131,133,143,155,147,114,153,139,83,126,155,148,150,148,148,149,148,147,120,122,125,127,130,133,134,136,138,143,130,86,120,167,137,107,158,128,78,129,157,151,151,150,150,150,149,147,120,122,126,129,130,134,136,135,136,150,131,99,72,137,127,106,159,126,80,139,154,151,153,150,150,150,149,148,122,123,126,130,131,133,135,142,123,125,140,129,118,86,83,92,135,119,81,144,154,152,153,151,152,151,151,150,121,124,127,131,132,131,144,164,120,91,144,151,142,105,60,59,106,107,77,146,155,152,153,153,153,152,152,152,123,124,127,130,132,133,147,134,143,116,86,117,150,132,86,61,86,83,73,151,154,154,155,154,154,152,152,153,123,125,129,132,134,131,153,127,102,97,43,46,140,156,118,67,68,74,68,149,155,154,156,155,155,154,154,153,123,125,128,132,134,134,151,122,96,92,64,60,110,170,139,88,60,69,67,149,157,155,156,154,154,153,154,153,124,125,128,132,133,134,156,152,125,101,75,86,97,170,156,113,69,57,60,150,157,155,155,154,153,154,153,152,124,126,129,133,135,135,167,143,108,92,85,99,112,170,156,125,82,50,55,148,159,156,156,155,154,154,154,153,125,127,129,133,136,136,165,139,111,102,104,102,158,183,142,122,87,49,56,152,159,157,158,156,155,154,154,154,125,127,131,134,136,138,171,146,121,112,112,115,184,179,144,116,92,52,61,157,158,157,157,156,155,156,156,154,127,128,131,135,137,138,172,152,130,107,123,141,183,167,149,116,92,53,70,162,156,157,157,157,155,156,157,156,126,129,131,134,137,138,174,159,134,120,121,153,179,153,144,111,89,50,84,165,156,157,157,157,156,157,156,155,126,128,132,136,139,137,171,160,139,142,121,157,175,152,140,114,84,49,95,166,155,157,157,157,156,157,157,156,126,129,132,136,139,137,161,167,151,156,136,144,165,145,135,115,81,47,94,167,156,159,158,158,158,158,157,156,126,129,133,136,138,138,148,168,158,159,147,138,153,141,134,114,81,49,98,166,156,159,158,158,158,158,158,157,124,129,133,137,138,139,141,164,162,150,136,138,144,135,133,127,81,50,114,166,156,159,158,158,158,158,159,158,125,128,132,136,138,140,139,162,153,139,126,129,141,133,132,127,84,55,137,163,159,160,159,158,158,159,158,157,125,129,133,136,138,140,141,161,145,135,127,125,141,135,128,124,74,68,158,160,159,160,160,159,159,159,159,158,124,129,133,136,138,141,142,165,160,150,133,129,145,128,119,117,61,92,168,158,160,160,160,160,159,160,160,160
3,188,188,189,188,189,189,188,190,188,188,188,186,185,185,185,184,184,182,180,178,176,174,174,172,171,170,169,166,189,189,190,190,190,190,190,191,189,188,190,187,186,186,185,184,178,181,181,179,178,175,174,173,172,170,169,167,191,191,191,191,192,191,191,191,191,191,190,188,187,187,183,200,141,160,186,179,179,177,175,174,172,171,171,169,193,192,192,193,192,193,192,192,192,191,191,191,189,186,192,195,119,163,188,180,179,178,178,176,174,172,172,171,194,194,195,196,194,194,194,194,194,193,193,192,192,186,209,166,117,183,187,182,180,179,179,178,177,174,171,171,197,197,197,198,197,197,196,196,195,195,193,194,191,199,210,132,142,192,185,186,185,183,181,179,178,176,174,172,198,198,199,200,199,199,199,199,198,196,196,196,190,220,193,119,166,196,189,188,187,186,183,181,179,178,176,175,199,200,201,202,200,201,201,200,200,198,199,194,209,213,160,119,187,196,193,191,188,186,185,183,181,180,178,177,201,204,204,204,204,203,203,203,202,201,202,199,216,193,124,148,192,182,189,191,193,189,186,185,183,183,181,178,204,205,206,207,207,205,207,205,205,204,202,201,210,197,162,171,190,183,190,182,176,189,190,185,187,186,184,182,205,206,208,208,208,207,208,207,207,206,205,204,213,219,201,173,174,175,178,191,174,141,186,193,181,182,187,184,208,208,209,209,209,209,209,208,208,207,207,204,231,208,185,187,178,157,152,139,165,149,135,163,168,142,179,188,211,211,210,210,210,212,211,210,210,210,206,216,235,210,191,176,161,146,123,125,103,155,156,131,141,136,184,189,212,212,212,212,212,213,213,211,212,211,213,238,224,179,136,124,155,146,131,124,111,109,142,123,112,179,193,189,214,214,215,214,214,215,214,214,213,211,233,239,186,139,106,90,170,196,147,126,116,113,97,109,144,199,190,190,215,215,216,216,215,215,215,216,212,224,248,215,150,117,101,92,121,214,207,186,141,110,116,115,163,200,192,191,216,217,218,217,218,218,217,218,206,237,243,195,146,122,98,91,85,132,203,227,159,104,127,120,184,200,193,192,218,219,219,219,219,219,219,221,205,229,227,196,146,107,93,88,92,85,114,159,112,125,132,132,197,199,195,194,219,219,220,220,220,219,220,222,210,221,235,206,155,117,95,93,97,107,108,105,106,135,132,141,203,199,196,194,220,222,222,222,222,222,221,223,209,219,243,207,169,132,103,98,109,116,126,138,131,133,131,153,208,199,197,196,221,222,223,223,223,223,222,224,209,216,249,215,175,140,119,100,112,127,144,152,142,130,121,167,210,200,200,199,222,224,224,224,223,224,223,226,211,211,251,218,179,152,135,105,113,141,155,154,145,126,135,199,205,201,201,200,223,223,224,225,226,226,226,227,213,205,244,214,186,156,138,112,115,142,149,144,137,129,191,213,205,205,202,200,224,224,226,227,226,225,225,228,216,204,241,219,191,158,135,118,118,136,142,139,126,149,212,208,207,205,204,202,225,226,226,228,228,227,227,229,220,203,234,218,189,157,136,127,121,133,138,134,128,188,215,209,208,207,205,203,226,227,227,227,228,228,228,230,222,212,234,210,184,157,143,135,123,129,134,130,173,216,212,211,208,207,205,203,226,227,228,227,227,227,228,229,223,211,238,210,187,164,148,136,129,130,133,170,218,214,213,211,210,208,205,204,227,228,228,228,228,229,229,230,221,209,231,203,184,164,142,133,134,130,153,216,218,215,214,213,212,210,206,205
23,172,174,178,180,180,182,183,184,184,186,187,186,186,185,185,186,187,187,187,187,186,187,187,186,187,185,186,185,174,176,179,181,182,184,184,186,187,186,186,186,186,187,188,189,189,189,190,188,187,188,188,188,188,187,187,187,177,179,181,184,185,186,186,187,190,188,188,189,190,188,188,185,176,180,190,192,190,191,191,191,191,190,189,188,178,180,184,185,186,188,189,190,190,192,193,192,189,201,212,194,170,156,166,155,183,194,194,194,193,193,192,190,179,182,185,187,189,190,192,193,192,194,194,193,205,214,200,175,152,149,132,110,183,197,195,196,195,194,194,193,181,184,187,188,191,193,193,193,193,194,196,209,208,168,161,128,139,144,144,176,197,196,197,196,197,197,197,197,183,185,188,190,192,194,194,195,196,195,196,203,180,128,123,164,201,200,202,201,198,199,199,198,198,199,199,198,186,188,191,193,193,195,196,196,198,197,198,195,163,140,128,209,200,199,193,191,201,199,201,202,202,201,200,200,187,189,192,194,195,197,198,198,199,200,201,194,167,162,122,199,200,208,192,128,178,203,203,202,203,203,201,201,188,192,194,195,196,199,200,200,201,201,199,201,183,165,147,209,222,215,188,115,141,209,204,204,203,203,202,201,190,194,195,196,199,200,200,201,202,202,200,206,193,201,222,219,203,198,180,97,108,162,171,208,204,203,202,202,190,193,196,197,200,200,200,202,203,202,201,200,206,216,210,202,204,193,153,98,56,120,128,206,207,205,205,204,192,194,197,199,200,200,202,203,204,203,200,201,208,215,217,201,199,186,111,82,46,90,88,125,209,209,207,206,193,194,197,200,201,201,203,204,204,207,205,204,206,209,203,196,199,174,100,74,49,72,82,68,129,213,207,207,195,196,198,201,201,203,205,206,205,212,216,199,201,202,201,201,186,138,93,78,53,61,81,84,82,204,210,208,195,197,199,201,203,204,205,206,207,207,211,202,204,205,194,169,128,86,96,84,56,57,78,78,128,213,209,208,196,198,199,201,204,205,206,207,208,200,207,202,199,183,154,113,63,70,97,80,50,68,86,85,192,215,211,209,195,199,201,203,205,206,206,207,209,202,204,199,194,181,134,90,55,86,83,53,48,72,83,140,217,212,212,211,195,198,200,203,205,206,207,208,209,203,201,197,201,183,111,69,55,65,50,47,60,72,88,197,217,213,214,212,195,198,199,202,202,204,206,207,208,202,198,197,204,165,109,83,50,47,52,64,78,74,130,219,214,214,215,214,196,199,200,202,203,205,205,206,207,201,198,203,206,169,119,92,54,52,77,90,95,81,174,221,216,214,214,214,195,198,201,203,205,206,206,206,208,199,196,211,202,171,130,99,71,58,88,99,100,85,191,219,215,214,213,213,195,198,201,203,206,206,207,206,208,199,190,211,201,170,134,103,81,60,89,100,97,97,209,216,215,214,213,213,195,198,201,203,205,206,207,207,208,197,190,204,196,167,131,101,85,65,87,101,88,128,220,215,215,215,215,214,197,199,201,203,206,207,208,208,211,189,188,201,192,161,129,99,84,73,80,94,85,187,219,214,215,215,216,215,195,198,202,202,206,208,210,210,212,185,199,201,182,155,125,99,84,79,74,84,154,221,217,217,217,217,216,212,126,131,136,139,142,144,148,153,152,171,215,206,178,146,118,99,85,81,74,139,201,202,203,208,209,204,201,200,98,99,101,100,101,102,104,103,95,183,225,206,175,137,117,100,84,82,89,110,124,140,149,175,188,180,185,184
6,138,140,143,144,147,149,151,153,155,158,158,159,161,161,162,164,164,164,163,163,163,164,165,166,166,166,166,165,140,142,143,144,146,150,152,154,156,157,158,159,161,161,162,164,164,164,165,164,164,165,165,165,166,166,166,165,141,141,143,145,148,150,152,154,156,156,158,159,162,162,162,163,164,163,164,165,164,165,165,165,166,167,166,165,141,142,144,147,150,151,153,156,157,158,159,161,163,164,164,163,163,164,165,164,163,162,163,164,166,168,167,165,143,144,146,149,151,153,154,157,158,159,161,163,163,163,159,150,137,140,148,145,142,137,127,147,155,152,166,167,144,145,147,151,152,154,156,158,159,160,162,164,165,163,157,141,119,120,131,133,127,121,112,121,136,123,164,168,144,145,147,151,153,155,157,158,159,161,167,170,167,160,145,125,112,104,102,105,103,103,101,101,107,132,168,169,145,147,149,151,153,156,159,161,162,165,163,155,146,130,110,93,90,99,105,112,123,131,138,144,153,167,170,170,147,149,151,153,154,160,167,156,146,142,141,137,135,127,115,100,107,133,147,168,172,174,174,173,172,172,172,171,149,151,152,154,155,178,173,143,125,123,127,131,136,137,133,127,121,117,109,160,176,175,175,174,174,174,173,173,149,151,152,155,158,188,166,140,135,128,123,119,120,124,123,118,110,104,87,148,178,176,176,176,176,175,175,175,150,151,155,157,160,189,164,155,158,139,125,125,124,129,131,124,110,100,94,156,179,178,178,177,177,177,177,176,151,151,155,157,164,190,180,185,171,143,124,121,120,122,124,121,116,109,99,130,179,180,179,178,179,179,178,177,151,152,156,157,170,192,190,187,173,157,144,126,110,100,107,110,105,99,91,84,144,182,180,180,180,180,180,179,152,154,157,158,177,193,190,184,182,177,162,136,119,114,121,118,104,93,89,68,107,182,182,181,180,181,181,180,153,155,158,158,184,195,192,190,189,178,164,145,127,119,122,118,109,100,98,79,127,183,182,181,181,183,183,182,153,155,157,160,189,195,192,191,189,177,163,141,127,124,121,118,113,106,97,118,173,183,183,182,182,183,183,182,154,156,157,163,193,193,191,189,186,171,149,137,129,124,114,106,109,105,97,159,184,183,183,183,182,184,184,182,156,157,159,167,196,192,190,187,179,152,141,139,129,110,96,69,86,96,109,177,184,183,184,185,185,185,185,183,156,158,158,172,192,188,187,183,166,140,134,137,124,93,64,52,74,94,145,184,183,184,185,186,186,185,184,183,157,158,158,177,188,184,183,173,151,132,137,134,113,93,66,72,110,144,180,185,186,186,186,186,186,185,186,184,158,159,160,181,184,179,177,163,145,134,143,131,110,91,73,99,177,185,185,186,187,187,187,187,186,186,187,185,158,161,160,182,181,178,170,156,141,144,148,127,108,89,77,125,188,187,187,187,188,188,188,187,187,187,187,186,158,160,158,178,179,171,158,151,140,148,142,120,102,87,89,162,189,188,188,188,189,188,188,188,188,188,187,186,159,161,158,173,173,166,155,142,139,147,132,112,97,86,129,185,188,189,189,189,189,189,189,189,189,187,186,186,159,160,155,177,177,164,154,137,141,142,124,108,90,111,178,190,189,190,190,190,190,190,190,189,189,188,188,187,158,156,156,179,173,159,149,137,140,133,115,100,88,151,191,191,192,192,192,190,190,191,191,189,189,189,189,188,160,155,159,174,165,148,139,138,133,124,107,93,91,168,190,191,192,192,193,192,192,193,191,191,189,189,189,189
1,78,82,97,114,128,135,139,145,151,154,157,159,163,167,168,169,172,172,173,173,173,175,175,175,177,177,176,176,79,84,99,117,130,137,141,147,154,158,161,164,167,176,176,144,172,175,177,177,177,178,178,178,179,178,177,177,81,87,103,121,134,139,144,152,159,163,165,168,171,187,188,118,155,154,165,183,181,182,182,182,181,181,180,180,83,89,106,124,136,142,148,156,163,167,173,182,143,184,189,114,147,153,129,186,186,186,187,186,186,185,183,183,83,92,110,127,139,145,151,160,167,170,181,197,128,171,188,112,148,166,112,176,192,192,191,190,190,189,188,187,84,94,114,130,142,147,154,163,170,175,185,203,131,161,191,122,152,173,113,163,197,195,195,195,194,194,192,192,85,97,117,134,146,151,158,166,173,178,187,207,137,148,183,125,156,184,125,154,202,199,199,199,198,198,197,196,86,100,120,137,148,153,160,169,178,183,157,201,142,130,170,125,154,183,130,150,206,203,203,203,203,202,201,200,87,103,124,140,151,156,163,173,189,188,131,191,143,113,174,131,149,191,139,151,211,207,207,207,207,206,204,204,88,105,127,143,153,158,168,177,198,182,123,192,151,106,164,128,148,198,148,152,214,212,212,212,211,210,208,208,89,107,129,145,155,160,170,180,203,180,117,184,165,111,144,140,148,182,147,149,217,216,216,215,214,213,212,211,91,109,131,148,157,163,173,182,210,188,114,161,180,155,157,157,144,139,128,145,220,218,217,216,217,216,214,214,92,112,133,150,160,165,176,185,213,193,116,142,153,160,158,134,140,160,130,146,223,221,221,220,220,219,218,218,94,115,137,154,163,168,180,188,212,200,149,153,109,139,123,117,177,198,178,147,200,225,222,223,223,222,221,221,95,118,140,158,166,171,182,191,220,206,163,138,104,127,104,145,195,202,199,152,132,208,227,226,226,225,225,223,97,120,141,159,168,174,185,196,228,207,159,123,109,134,139,194,218,207,184,131,104,154,230,228,229,228,228,227,98,122,144,161,169,176,188,199,234,216,162,120,121,144,162,212,226,212,173,125,97,138,230,231,230,230,230,230,101,125,147,164,172,178,191,201,236,226,173,123,131,157,181,215,226,209,170,125,91,153,235,233,233,233,232,234,104,128,150,166,173,181,193,202,234,232,191,135,139,164,189,225,226,202,162,123,90,172,238,235,236,237,235,221,107,131,153,169,175,184,196,204,232,236,208,150,147,168,187,227,223,197,152,117,88,187,239,237,227,197,145,98,110,134,155,171,178,186,198,205,226,233,218,164,161,161,183,219,217,190,142,111,91,203,235,179,113,74,55,53,112,136,158,173,179,187,199,207,218,226,223,178,174,158,183,208,210,179,134,104,98,210,155,77,48,45,46,42,114,137,160,174,180,188,199,207,211,219,222,192,179,164,170,203,195,167,124,99,101,131,70,62,50,32,43,48,116,139,162,175,180,188,198,206,210,213,216,198,185,174,156,186,181,154,119,97,78,54,41,57,62,28,29,50,117,141,164,177,181,190,201,208,213,210,214,204,192,183,157,163,175,146,116,93,66,54,38,36,60,40,20,37,118,143,166,179,183,193,202,210,216,212,216,211,198,184,154,149,163,141,110,84,67,54,42,22,44,53,20,22,118,143,167,179,184,194,203,211,216,215,217,203,185,176,155,147,145,130,101,78,69,48,42,22,29,52,32,12,128,146,164,174,180,189,197,206,212,212,216,208,183,181,171,146,133,124,96,74,66,54,36,25,20,42,42,14
10,111,122,141,167,178,188,194,196,198,202,204,206,206,208,209,208,206,206,205,203,204,203,197,195,194,193,189,186,112,123,143,169,180,190,195,198,201,204,207,209,209,209,210,211,211,210,208,209,188,187,203,198,197,194,192,188,113,125,145,170,183,192,197,200,203,207,210,211,212,213,213,213,214,214,210,219,169,128,208,201,200,196,194,191,115,127,148,173,185,193,200,202,204,208,212,213,214,216,217,216,216,216,213,222,175,117,201,206,202,201,197,194,118,128,150,174,186,195,202,205,207,210,214,216,217,218,220,220,219,219,216,223,170,111,197,212,206,204,201,198,118,130,151,177,188,198,206,207,209,213,216,217,220,220,222,223,223,222,220,225,170,111,198,215,209,208,205,202,121,131,154,178,190,200,207,208,210,216,219,220,222,222,224,226,224,224,222,231,180,114,197,219,211,211,208,203,122,132,154,179,191,200,206,208,212,219,223,222,223,225,226,228,228,226,225,232,173,108,197,221,213,212,208,205,123,132,156,180,192,201,207,210,213,219,223,223,227,227,228,229,232,230,232,208,131,102,200,223,215,215,211,207,124,134,157,180,193,202,208,211,215,221,224,227,228,229,229,230,226,213,236,186,95,111,211,224,219,215,213,208,125,135,159,180,193,203,209,213,216,222,226,228,229,231,235,237,221,179,166,153,99,94,221,222,220,217,213,211,125,137,160,181,194,204,211,214,218,224,228,229,231,231,213,223,236,213,156,97,102,86,200,228,220,219,214,213,127,138,163,182,195,205,211,215,219,225,229,231,236,227,172,139,138,175,116,84,106,81,154,239,220,220,217,215,127,138,164,182,196,206,212,216,220,225,230,227,217,234,197,149,57,66,65,118,123,77,142,240,221,221,219,216,129,139,164,182,197,207,213,217,221,225,233,216,162,176,221,167,84,60,65,147,175,91,131,239,223,223,220,217,128,140,167,183,197,206,214,218,223,226,234,226,202,150,199,179,116,60,72,148,199,113,116,238,226,224,221,219,128,140,167,184,198,207,215,219,223,229,233,203,211,171,160,177,122,57,90,176,197,127,96,226,229,224,222,219,129,140,166,184,198,208,214,219,224,228,239,201,166,156,111,164,137,83,132,196,176,122,91,223,231,226,223,220,129,140,167,185,198,207,216,219,224,229,235,208,160,142,117,153,187,125,154,201,142,99,106,236,231,228,223,220,129,141,168,185,198,208,217,219,224,230,232,233,198,143,135,138,183,126,157,185,133,80,126,243,228,227,225,221,129,142,169,184,198,209,218,220,225,230,229,236,214,174,143,126,183,185,181,162,130,71,147,249,229,228,227,224,126,141,168,183,197,208,215,218,223,229,230,224,213,189,164,145,201,224,184,147,122,69,171,246,229,227,223,222,125,139,166,181,195,207,214,217,222,227,233,214,202,192,178,159,192,212,172,135,110,65,196,240,228,225,222,221,124,137,166,179,194,205,213,216,223,227,232,229,203,198,185,160,178,195,158,122,87,79,228,231,227,226,222,220,119,133,162,175,191,202,211,215,220,225,229,234,215,193,176,154,154,169,139,110,67,135,245,228,228,225,223,221,135,148,173,186,199,209,217,220,224,229,233,236,236,201,168,150,144,156,145,109,68,193,237,225,224,220,217,215,168,172,177,176,169,168,168,166,167,165,165,159,175,212,176,173,160,157,150,103,77,130,136,132,129,129,129,118,127,125,125,125,125,125,126,127,128,126,126,124,137,218,197,189,166,156,133,98,77,111,113,111,109,101,63,39
8,167,168,170,171,172,173,174,175,174,174,174,174,173,173,173,172,172,171,171,169,168,167,166,166,165,164,162,161,168,170,172,173,174,175,175,175,176,175,175,175,175,174,174,174,173,173,172,171,170,169,168,167,167,166,164,162,170,172,174,175,176,177,177,177,178,178,178,177,176,176,175,175,175,174,174,173,171,171,170,169,169,167,165,164,172,174,175,177,179,178,179,179,179,179,179,180,177,169,174,176,176,175,175,175,173,172,172,171,170,168,166,165,174,176,177,179,180,180,180,181,181,181,180,187,177,145,164,178,178,177,177,176,175,174,173,172,171,170,168,167,176,178,180,180,181,182,182,183,183,182,183,193,168,124,155,179,179,179,178,177,176,175,174,173,172,171,170,170,178,180,181,182,182,183,184,185,184,184,186,194,153,117,159,181,181,181,180,179,177,176,175,174,174,173,172,171,180,181,183,184,184,185,186,186,186,186,191,194,145,118,167,184,183,182,181,180,178,178,177,176,175,174,173,172,182,182,184,185,186,186,187,188,188,188,196,194,142,125,172,185,184,182,182,181,180,179,178,177,176,175,174,173,183,184,186,187,188,188,189,190,190,189,198,186,133,128,175,186,185,184,183,182,181,180,179,178,177,176,175,175,185,186,187,189,190,190,191,192,191,191,202,185,135,137,180,187,185,178,180,183,182,182,181,180,179,178,177,176,187,188,189,191,193,193,193,194,194,194,207,188,150,150,182,191,188,156,153,175,178,182,182,181,181,180,178,177,188,189,191,193,194,195,195,196,195,197,208,188,162,161,191,202,193,152,124,131,139,161,180,182,182,181,180,179,189,191,193,194,195,195,196,197,197,200,209,192,173,172,200,205,197,173,134,105,98,113,152,158,173,182,181,181,191,193,195,196,197,197,198,199,199,208,212,189,174,178,196,190,186,184,159,137,109,88,104,102,130,175,182,181,193,195,197,198,199,199,200,200,202,212,201,173,164,166,187,170,146,167,172,161,125,84,77,77,88,155,183,182,195,196,198,200,200,201,201,201,208,209,180,152,147,149,175,157,117,121,167,163,127,80,59,65,75,140,184,184,197,198,200,201,202,202,202,206,220,211,179,147,129,128,167,166,124,97,166,171,132,84,55,61,87,156,186,185,197,200,201,202,203,204,204,217,226,207,174,144,124,114,152,163,122,97,162,179,136,88,60,70,124,179,188,187,198,200,202,204,205,205,209,226,224,198,167,142,123,102,123,150,135,129,169,181,138,89,71,113,171,190,190,189,200,201,202,204,206,207,215,228,214,188,168,147,127,122,162,187,181,177,176,170,132,89,102,170,192,193,192,190,201,202,204,205,206,207,221,227,208,190,168,141,139,173,206,204,187,184,165,146,122,91,117,187,196,195,194,192,202,203,205,207,205,187,207,224,207,193,163,146,174,207,209,193,173,172,152,124,111,93,138,192,196,195,195,193,203,204,207,207,188,132,148,202,205,190,161,170,201,213,201,182,162,160,143,107,94,104,172,198,197,196,195,194,203,205,207,198,144,93,92,135,174,176,160,176,199,204,193,175,153,147,130,93,82,136,194,201,200,198,196,195,204,206,204,166,104,80,78,84,103,124,135,156,176,185,179,163,144,135,108,78,100,176,202,202,201,199,198,196,205,205,181,118,85,76,74,74,62,58,76,96,117,138,145,139,128,111,82,82,151,200,204,203,202,201,199,197,205,196,143,91,79,74,71,71,62,36,45,54,60,71,85,93,91,77,67,119,190,205,205,204,202,201,199,197
14,172,175,180,182,184,185,187,188,190,190,191,192,193,193,193,194,193,193,194,192,192,192,191,191,191,190,189,188,173,178,180,183,186,187,189,190,192,192,193,194,194,196,196,196,195,196,195,195,195,194,193,192,192,191,191,191,175,178,182,185,187,190,191,192,193,194,195,196,197,197,197,198,197,197,199,198,197,196,195,194,194,193,193,192,176,179,183,185,189,191,192,194,196,196,197,198,199,199,199,201,197,198,190,195,198,199,197,196,197,196,194,193,178,181,185,187,190,192,194,195,197,198,198,201,202,200,201,200,214,204,183,185,185,182,201,199,197,198,197,196,179,183,186,189,191,193,194,197,197,197,201,203,203,202,202,218,215,205,193,183,177,162,161,196,201,198,198,198,180,184,188,191,192,193,195,198,199,200,202,203,204,204,218,219,219,199,192,206,183,158,127,145,205,200,200,199,181,186,189,191,194,196,198,199,202,202,203,204,203,210,220,212,208,154,119,180,160,187,127,95,160,210,199,201,183,186,189,192,196,198,199,200,202,204,205,206,212,224,214,160,134,126,103,99,127,210,161,109,132,207,202,202,185,188,191,195,197,198,200,202,203,206,205,215,231,229,201,163,124,95,93,93,87,178,185,133,113,200,206,203,185,190,193,196,197,200,202,203,206,206,207,229,228,200,167,148,130,104,90,92,104,175,163,142,115,177,212,204,185,190,194,197,198,202,204,204,207,203,224,233,218,190,138,111,111,101,92,111,191,216,199,181,125,157,216,204,186,190,195,198,200,202,204,207,203,216,242,224,213,187,142,112,94,91,103,208,217,203,199,163,110,174,216,207,188,191,195,199,200,203,205,205,209,240,232,221,209,169,141,118,88,85,185,224,211,204,189,162,103,144,221,206,189,193,197,200,202,204,208,205,236,243,229,221,198,174,147,104,80,94,137,181,227,192,173,153,116,107,199,214,190,194,198,201,204,207,205,219,248,240,227,213,196,165,133,98,96,107,103,115,196,166,173,152,133,106,184,219,190,196,199,202,205,209,205,240,247,235,221,210,189,145,118,97,120,129,131,128,121,155,175,156,115,138,215,213,192,196,200,203,205,204,220,248,237,229,215,199,171,141,116,114,136,140,141,146,132,153,165,135,119,208,217,214,192,197,201,203,213,209,241,243,231,220,204,194,163,143,121,127,140,144,142,140,141,144,145,116,193,222,214,215,192,196,202,205,157,205,255,237,223,213,201,183,169,143,123,133,144,141,134,133,144,118,106,187,225,216,217,216,193,197,209,171,108,125,203,232,206,192,181,172,153,122,123,126,136,138,129,129,114,106,177,227,217,219,218,218,193,201,194,122,120,113,111,156,188,180,152,127,104,105,114,114,123,127,115,114,162,210,227,219,221,220,219,219,194,204,147,119,113,112,110,107,116,120,112,100,94,97,99,99,100,100,123,195,233,227,223,223,221,220,220,220,201,173,117,119,108,108,107,112,98,67,79,81,77,77,78,73,125,177,217,231,223,224,225,223,223,222,221,220,192,133,118,110,108,106,105,102,113,80,66,76,72,70,71,63,106,236,228,224,226,226,225,224,224,224,222,221,151,116,111,108,107,104,101,101,108,88,59,71,70,68,71,58,125,234,224,227,226,226,226,225,225,224,223,223,127,113,103,104,102,96,97,97,109,86,57,67,67,66,68,58,189,239,226,229,228,228,227,226,225,224,224,223,126,114,107,96,86,123,112,89,111,75,58,66,64,64,63,75,219,232,228,228,229,228,227,226,226,225,224,224
16,50,47,45,43,44,46,46,48,48,53,66,77,87,95,102,109,112,114,118,119,124,130,134,138,142,145,148,151,49,47,45,43,44,44,46,47,46,54,67,76,86,94,101,110,114,112,115,120,125,128,134,138,141,144,147,150,48,47,44,42,43,44,45,45,45,54,65,75,84,94,101,107,110,130,116,96,116,134,136,134,140,144,146,149,48,46,43,42,43,43,45,45,44,54,65,74,84,91,102,107,140,146,116,89,68,82,120,144,141,142,146,148,49,45,42,42,43,43,43,44,44,53,65,78,76,129,146,142,147,123,97,91,74,48,45,90,140,150,149,150,48,45,43,42,43,43,43,42,44,51,66,64,99,166,142,130,124,107,90,74,66,62,47,33,58,109,135,149,46,45,44,42,42,42,42,43,42,53,56,83,153,138,114,111,102,93,78,56,61,65,54,46,39,38,56,82,47,45,42,41,42,41,42,42,44,47,61,141,138,110,105,93,77,69,57,55,52,64,65,50,50,43,39,37,45,42,41,40,41,38,41,44,35,69,120,122,103,98,83,66,58,49,51,52,33,66,64,72,55,47,42,38,43,41,40,39,41,39,41,34,51,150,123,96,90,76,57,51,43,38,48,37,26,73,68,83,61,53,42,34,40,38,34,34,35,35,40,16,123,165,119,89,63,52,47,40,30,39,39,12,32,78,71,81,66,54,41,35,99,94,92,88,83,81,72,81,164,144,105,68,41,31,30,24,29,38,14,0,46,75,70,88,74,66,48,44,80,77,76,75,74,74,69,150,146,119,78,47,27,24,21,6,11,3,0,0,46,69,71,101,95,78,59,45,72,72,72,73,73,61,99,148,111,83,52,33,21,25,12,0,0,0,0,0,34,70,78,109,97,79,72,40,77,77,77,79,74,78,149,123,80,46,35,25,22,24,10,0,0,0,0,0,12,59,89,115,73,77,77,33,78,79,79,81,65,124,149,92,52,23,21,25,29,31,30,16,0,0,0,0,0,55,121,92,53,70,65,26,79,81,84,72,93,139,98,57,25,47,35,28,33,37,35,35,8,3,8,0,2,116,113,66,47,52,39,27,77,81,78,80,140,100,57,22,42,91,54,55,51,45,41,32,24,22,24,3,88,128,85,52,39,34,25,26,80,80,68,130,119,58,24,28,76,64,48,53,55,47,43,36,27,27,6,37,145,108,64,34,28,22,23,27,79,80,75,111,74,28,31,72,78,66,70,56,41,32,34,29,22,26,20,103,149,109,42,23,21,18,25,24,77,80,79,79,68,64,76,78,79,80,77,72,63,49,59,58,55,69,71,147,147,115,41,10,16,33,30,23,77,78,78,79,80,81,78,77,78,78,79,81,81,82,82,81,82,81,74,150,152,115,51,11,47,38,29,27,75,77,78,78,77,77,77,77,79,79,79,80,79,79,79,78,79,80,71,126,136,104,41,57,104,51,46,43,73,76,77,77,77,78,77,77,78,78,79,80,80,79,80,79,80,81,75,94,110,68,42,77,110,80,54,55,74,75,76,77,77,77,77,78,78,78,78,79,79,79,79,80,80,79,79,79,84,60,61,74,99,125,79,66,73,75,75,77,77,77,76,76,77,78,78,79,79,80,79,79,80,80,78,79,79,80,82,77,77,137,111,93,73,75,76,78,76,76,76,76,77,78,78,78,78,79,79,79,80,80,79,79,79,79,81,82,69,130,136,110,75,74,76,76,75,75,77,76,77,77,76,76,77,77,77,77,79,79,79,79,80,79,80,83,66,116,149,122
0,188,188,188,187,187,187,186,185,186,188,187,187,187,186,184,183,184,183,181,181,178,177,178,178,175,174,173,172,190,190,190,189,190,191,191,191,191,189,188,189,189,188,187,185,184,183,182,182,182,181,181,179,175,174,174,173,192,191,191,191,192,191,191,191,191,190,192,193,191,190,188,187,186,186,184,184,185,183,184,181,180,177,177,174,192,192,192,192,191,191,190,191,192,192,193,193,193,192,190,194,192,187,192,194,186,182,182,183,183,181,180,179,193,193,195,194,192,193,192,192,194,193,193,193,192,192,185,162,175,199,166,144,178,171,127,185,183,183,181,182,194,195,196,196,195,194,194,194,195,193,196,198,200,193,149,100,71,123,122,83,78,162,87,146,194,181,183,180,196,196,196,197,197,198,197,196,199,203,198,172,134,145,145,105,61,30,122,97,35,127,117,82,204,182,183,182,198,197,197,197,198,198,197,197,171,162,182,152,88,41,123,115,92,52,124,100,46,95,146,45,123,203,182,184,198,199,199,199,197,197,194,182,136,68,146,147,94,37,104,127,105,52,128,105,45,56,144,86,45,128,194,183,200,200,200,200,199,199,181,174,141,78,124,153,104,56,97,134,94,45,132,111,44,11,132,116,71,37,188,185,201,200,200,200,200,196,165,161,154,110,105,161,105,64,71,134,95,30,100,84,30,17,142,134,55,56,200,185,201,201,201,202,202,188,157,134,151,122,90,148,100,60,49,133,92,7,18,31,0,69,166,128,28,119,206,186,203,204,203,203,201,185,178,124,127,116,61,118,108,70,18,54,40,0,0,9,38,144,160,103,27,179,193,189,203,206,206,204,199,175,153,87,88,69,3,68,101,61,0,0,0,41,110,97,116,161,140,59,68,208,188,190,205,207,206,206,195,172,164,120,77,30,0,4,40,6,0,9,94,157,153,145,115,131,119,13,122,211,190,190,205,208,206,208,196,174,177,148,99,70,54,46,60,63,90,132,161,158,147,145,104,81,71,0,172,200,193,192,205,208,206,209,194,174,186,154,117,94,75,86,118,156,167,172,175,163,137,131,85,51,5,77,212,194,195,192,205,206,205,209,196,167,187,158,126,89,86,97,146,175,177,181,177,150,125,110,70,3,37,199,200,198,196,196,202,204,203,206,201,157,172,159,133,102,95,111,170,182,177,179,163,131,107,86,31,10,185,205,196,197,197,195,203,206,207,206,209,164,166,167,140,123,112,129,174,178,177,166,138,117,90,59,0,146,211,195,198,197,194,193,207,207,207,206,213,179,152,168,157,142,116,134,169,168,167,151,115,92,72,0,94,216,196,199,198,197,195,195,207,207,207,207,210,197,149,163,156,134,111,125,158,149,142,120,90,70,13,46,208,201,199,200,198,199,197,195,207,207,207,208,208,209,161,155,148,123,110,118,144,133,116,94,64,11,16,189,206,201,202,200,199,199,198,197,206,206,206,206,207,208,168,156,138,113,109,112,135,125,96,72,22,8,178,211,201,204,205,201,200,198,198,197,209,208,208,206,210,197,163,155,143,135,133,122,126,121,81,44,0,159,215,200,203,201,203,201,199,199,197,196,199,202,204,204,211,178,157,166,155,154,139,126,120,108,61,4,60,228,208,214,213,210,209,207,206,203,202,200,95,100,103,106,105,129,164,176,165,152,139,128,110,73,48,0,81,171,165,168,172,176,176,176,179,181,183,182,68,67,64,64,55,115,167,176,158,149,139,125,78,59,36,0,36,68,66,66,66,69,70,70,73,76,77,76
3,77,14,41,68,86,94,104,113,120,125,130,133,136,138,140,142,144,146,149,149,137,154,156,158,161,161,161,162,69,11,47,70,87,95,105,114,121,126,130,134,137,139,140,144,146,148,151,162,105,133,162,159,159,161,162,164,58,12,52,72,89,97,106,116,122,127,131,134,137,139,142,145,148,148,154,173,107,117,166,159,160,162,163,164,48,15,56,75,90,99,108,118,123,128,134,137,138,141,143,145,149,148,159,170,99,121,166,158,161,162,164,165,39,19,59,77,90,99,110,120,123,129,134,137,139,143,144,146,153,151,164,170,99,129,166,160,163,164,165,167,28,25,62,80,92,101,112,121,125,131,136,138,141,145,149,149,139,143,173,155,97,128,167,163,165,166,167,168,19,33,65,83,94,103,113,123,128,132,136,138,140,130,160,184,147,112,160,134,92,130,170,164,166,167,167,169,13,39,67,85,95,104,114,123,127,134,132,164,185,145,121,158,167,103,130,131,82,144,170,166,168,167,169,170,11,44,70,87,96,106,116,125,129,132,139,156,172,180,131,109,164,134,144,121,86,160,168,168,169,170,171,172,13,49,71,89,98,108,118,125,125,152,194,162,105,131,151,90,151,153,145,113,82,163,168,168,169,172,172,173,16,54,73,90,100,108,119,127,126,162,172,161,138,103,145,126,78,78,144,128,96,121,174,168,171,172,173,174,20,57,76,91,100,109,120,127,126,169,150,105,143,131,115,147,79,69,132,162,146,90,150,175,172,173,174,176,26,59,79,92,101,110,121,126,130,176,138,79,90,91,95,98,98,100,106,160,149,92,148,177,172,174,175,176,30,62,80,93,103,111,122,124,134,173,137,126,109,81,96,97,117,111,116,167,144,91,163,175,173,175,176,176,34,65,82,93,104,112,123,123,143,181,157,129,101,86,102,119,134,114,133,186,142,98,174,174,175,176,178,179,40,68,84,94,104,113,122,122,146,183,141,110,90,93,110,135,139,136,163,184,129,105,178,173,175,176,179,180,45,69,85,95,105,114,123,123,149,180,140,114,97,100,117,143,147,174,179,175,119,105,179,174,176,177,178,180,49,71,86,96,105,115,124,123,147,185,153,122,105,101,120,146,171,194,173,151,115,109,183,174,178,179,179,180,53,72,88,97,106,115,124,124,146,186,157,133,110,109,121,160,192,190,170,133,94,126,184,175,178,179,180,180,56,72,89,98,106,116,123,126,144,188,167,141,115,115,127,176,190,182,167,128,79,138,182,175,178,180,180,180,58,75,89,98,107,116,123,128,138,179,165,142,130,122,133,184,190,175,159,120,76,153,181,175,178,181,181,181,61,76,89,98,107,117,123,128,133,165,166,150,146,132,138,179,183,167,152,109,80,169,178,178,178,181,181,181,63,78,90,98,107,118,122,128,132,153,170,160,153,144,133,165,170,152,138,100,97,181,177,178,179,180,181,181,63,79,91,99,107,119,124,129,132,150,174,164,155,140,130,148,155,142,138,85,124,185,176,178,179,180,182,182,64,80,90,99,108,119,124,129,131,154,185,164,150,131,125,139,140,138,133,87,158,180,177,179,180,180,183,183,65,81,91,99,109,119,124,129,131,161,190,161,150,133,129,142,133,140,108,105,180,174,178,179,180,181,182,182,66,82,91,100,109,118,123,130,130,172,190,171,158,136,141,150,133,128,90,137,181,174,178,179,180,181,182,183,66,83,91,100,109,118,123,131,131,178,191,185,153,138,150,149,128,107,84,157,177,176,179,179,180,182,182,182
7,153,158,163,168,172,174,177,179,181,183,184,185,185,185,185,185,185,185,184,183,183,182,181,180,179,177,177,176,155,160,165,170,173,175,178,181,182,183,186,187,188,188,187,187,188,186,185,185,184,183,183,182,181,179,179,178,156,161,166,172,174,177,180,183,184,185,187,188,189,189,189,189,188,188,187,187,186,185,184,183,182,180,181,180,158,164,168,173,177,179,182,185,186,187,189,191,191,191,191,191,191,190,190,188,188,187,186,185,184,182,182,181,160,166,170,174,178,181,183,187,187,190,191,192,193,193,193,192,193,192,191,188,187,188,185,187,186,184,184,183,161,166,171,176,179,183,184,187,188,191,192,194,195,195,194,192,190,184,178,163,178,200,164,186,188,186,185,184,164,168,173,177,181,184,186,189,190,191,193,192,188,179,174,175,172,160,158,150,166,180,140,184,188,183,187,186,165,169,175,179,182,185,187,188,188,187,181,170,158,138,148,161,164,147,138,129,124,139,144,192,203,143,187,188,167,171,177,181,185,187,182,164,160,161,161,159,150,141,127,126,117,121,139,144,142,146,157,178,175,127,186,189,167,172,178,183,187,190,176,161,159,151,142,144,146,135,122,121,136,157,174,159,147,139,133,122,133,165,190,190,168,173,178,184,193,185,170,164,156,130,131,149,160,144,136,130,130,143,149,134,118,107,119,151,181,193,193,192,169,174,183,189,181,176,175,169,139,105,120,130,134,123,120,116,103,113,105,109,133,167,192,196,196,195,194,193,171,180,188,184,182,177,168,169,149,111,104,90,81,78,84,90,98,123,162,188,199,200,200,199,197,196,195,194,185,189,188,187,182,170,164,161,160,137,98,73,56,95,144,163,184,200,203,203,202,201,202,202,200,198,198,197,192,188,184,179,171,165,165,165,161,136,102,77,73,95,167,204,206,207,207,205,204,203,201,201,201,200,199,199,193,185,174,168,163,157,151,147,140,121,97,73,75,77,74,153,208,208,208,206,206,205,203,202,202,201,201,200,186,175,166,158,152,146,142,137,132,121,94,68,69,83,78,90,208,209,209,208,207,207,206,205,203,202,202,200,172,171,160,154,145,142,140,138,138,133,100,67,60,76,78,92,207,210,209,209,208,208,207,207,205,203,201,200,98,146,153,153,146,143,138,137,136,126,95,72,69,56,57,69,170,212,210,210,209,208,207,208,207,204,203,201,43,63,122,151,151,145,136,129,118,102,87,80,76,65,58,69,153,213,212,211,211,209,209,208,207,206,204,203,41,35,47,115,150,143,132,120,110,94,84,79,79,72,91,125,198,214,214,213,213,212,210,209,208,207,206,204,37,33,32,43,111,122,111,100,93,73,60,67,78,87,192,213,215,216,216,214,213,212,211,210,209,207,207,205,32,30,27,27,45,77,82,90,78,52,51,67,96,178,217,216,216,216,216,215,214,213,212,210,210,208,207,206,26,24,23,25,22,17,48,168,144,79,96,139,196,217,218,217,217,217,217,215,214,214,213,211,210,209,208,207,20,20,21,25,24,32,158,208,210,203,208,214,217,219,219,218,217,218,218,217,216,216,215,213,212,211,209,208,48,20,19,29,30,148,206,210,213,215,216,217,219,220,220,219,218,219,219,217,217,215,215,214,213,211,209,209,40,43,24,27,64,202,207,209,212,214,216,218,219,220,220,220,219,219,218,217,217,215,215,214,213,211,209,209,15,29,23,22,91,206,206,209,211,213,215,216,217,217,217,219,219,217,217,216,216,215,214,214,211,209,209,209
19,183,184,184,186,188,190,191,191,190,192,192,191,190,189,190,189,188,187,185,184,184,183,183,182,180,179,180,179,183,186,187,189,190,191,191,192,192,192,193,192,191,191,191,190,189,189,188,187,186,184,184,183,183,183,183,181,184,187,189,190,191,193,193,193,195,194,194,193,193,193,192,192,191,189,189,189,188,188,186,186,185,184,182,182,185,187,190,192,192,193,195,196,197,197,197,195,194,193,193,194,193,191,191,190,190,190,189,187,185,185,184,183,187,189,189,192,193,195,197,198,199,199,198,199,199,196,196,195,194,193,192,191,191,191,190,188,186,185,185,184,188,191,191,192,195,198,198,200,199,199,199,199,200,200,198,196,195,193,193,192,191,190,190,189,187,187,186,186,189,191,192,196,197,199,200,202,201,201,201,200,199,198,199,201,199,197,195,194,194,193,190,191,189,189,187,187,190,193,196,198,199,201,201,202,202,201,200,202,200,199,193,184,194,198,197,198,197,194,192,192,189,187,189,187,192,193,197,199,201,202,203,204,203,204,202,202,200,205,185,140,150,200,185,186,190,188,183,189,187,123,182,191,194,195,198,200,201,203,204,203,203,199,195,199,198,206,198,190,202,205,190,190,204,196,187,168,128,112,187,191,195,197,199,200,201,204,203,207,210,181,170,179,188,192,182,170,160,168,157,169,187,162,133,123,140,184,195,192,194,198,200,200,202,204,202,203,181,173,186,188,178,179,173,164,123,111,111,117,157,156,174,189,200,197,193,194,198,199,201,202,205,198,209,226,206,207,208,199,187,171,130,104,112,88,84,169,208,204,203,199,197,195,194,195,200,201,202,203,209,197,237,251,221,201,191,185,179,159,120,85,102,91,94,192,204,201,200,198,197,197,197,197,198,200,203,204,209,198,234,239,201,169,138,127,129,140,125,95,102,93,100,198,203,203,201,201,199,198,199,198,199,201,204,206,208,198,216,225,188,130,117,78,72,158,133,102,105,93,114,205,204,204,203,202,202,200,200,198,200,201,204,206,210,195,208,225,184,136,92,60,128,156,126,105,106,91,139,215,205,205,206,205,204,202,200,199,201,202,205,207,212,193,204,230,191,153,119,81,87,87,84,91,92,101,114,211,208,207,205,205,204,203,201,199,203,205,207,208,213,194,202,230,196,160,126,110,76,50,47,58,79,93,90,195,212,207,207,205,204,203,201,199,203,206,208,209,215,192,193,227,193,162,129,114,112,87,74,81,93,101,93,181,216,208,208,206,204,205,203,203,203,206,208,210,214,197,189,223,190,159,131,115,114,99,88,93,101,108,100,186,216,208,208,207,206,206,205,204,203,206,208,212,216,200,186,221,191,155,131,117,115,100,88,95,104,108,109,200,214,210,209,208,207,207,208,205,204,207,209,212,216,205,192,214,182,151,129,115,113,106,97,100,110,110,132,215,213,212,211,210,208,208,207,206,207,209,210,211,216,206,204,217,183,149,130,117,111,111,109,111,120,108,171,220,211,213,212,210,210,209,207,208,208,209,211,214,218,202,207,221,190,157,136,121,112,117,117,119,114,141,213,215,215,214,214,211,210,209,209,208,206,208,210,213,220,196,208,216,190,171,142,120,112,121,120,117,161,211,217,216,215,213,213,211,211,211,210,207,205,208,208,209,212,198,213,205,177,161,140,119,117,119,109,144,217,216,214,214,213,212,211,211,210,209,208,207,205,209,209,211,209,211,223,209,185,159,144,124,114,113,103,163,215,215,215,214,213,212,211,211,210,208,207,206
22,114,118,124,132,141,148,153,156,159,164,167,171,173,175,178,180,180,182,182,182,182,182,181,180,180,180,179,178,115,119,125,135,143,150,155,158,162,166,170,173,176,178,180,182,182,184,185,185,185,185,184,183,183,182,182,180,116,120,125,136,144,152,157,160,164,169,173,177,179,179,182,184,185,186,187,187,187,187,186,186,186,185,185,184,117,121,126,137,146,155,160,161,165,170,176,176,182,183,184,186,187,189,189,191,193,191,190,189,188,190,188,187,117,121,128,139,148,158,162,163,168,173,176,199,160,177,189,188,190,191,195,184,174,196,192,191,191,174,188,189,117,121,128,140,150,159,163,165,170,172,185,224,139,161,194,189,193,193,211,173,125,197,193,202,191,124,166,196,118,121,129,141,151,159,163,166,172,174,189,230,149,156,199,191,194,199,212,152,126,204,196,212,183,119,180,197,118,121,130,143,153,161,165,167,175,177,187,235,168,152,200,195,195,210,212,132,155,208,213,205,144,137,203,195,119,122,131,144,154,163,166,169,176,180,188,240,186,145,200,198,198,206,193,121,178,212,222,195,130,180,204,197,119,123,133,145,155,163,167,170,178,182,187,234,190,139,193,200,203,213,176,112,200,222,199,160,141,206,200,200,120,123,133,146,156,165,170,172,179,185,186,230,209,149,182,203,212,229,162,115,237,234,191,125,174,210,202,202,120,123,133,146,157,166,171,174,180,188,186,226,222,166,172,209,210,218,118,151,254,225,171,128,207,205,206,204,120,123,135,147,158,168,172,174,182,188,188,209,217,155,133,195,200,206,178,222,229,203,131,154,218,206,207,206,122,124,135,148,159,170,173,175,182,188,191,192,215,152,157,202,208,215,233,228,211,162,112,199,213,208,207,207,121,124,136,149,160,170,174,177,182,193,208,164,203,177,181,227,205,221,221,222,190,123,152,223,210,211,208,209,120,124,137,150,161,171,174,178,180,213,217,187,170,176,160,186,204,221,216,199,165,118,189,221,212,213,211,211,122,125,137,150,161,172,176,180,183,210,209,211,201,198,158,106,159,198,195,163,152,116,203,220,215,214,212,212,121,125,139,151,162,172,176,181,183,203,215,191,199,187,152,133,110,120,145,144,132,117,217,220,217,216,214,213,121,126,139,152,165,172,176,182,183,210,209,188,171,162,174,162,139,112,107,103,126,113,214,221,218,216,216,215,122,125,139,153,164,173,178,182,185,205,244,215,166,158,171,180,160,140,135,108,96,106,209,223,219,218,217,217,122,126,139,152,164,173,177,181,187,199,253,206,188,186,210,220,176,155,146,104,86,97,212,223,220,219,217,217,121,125,139,153,165,174,178,181,189,195,251,217,196,219,243,234,193,163,142,102,83,109,224,221,221,220,218,218,121,125,140,153,166,176,178,181,191,194,243,227,198,216,243,212,192,152,135,108,78,131,233,220,222,220,219,219,120,125,140,153,166,174,178,183,192,192,232,239,214,208,243,198,193,175,135,108,76,140,236,221,224,222,220,219,117,124,140,154,166,174,177,183,191,193,217,241,222,195,236,207,187,180,136,102,76,157,235,222,224,223,220,219,116,123,140,153,165,174,176,183,191,198,213,236,224,183,214,201,173,160,121,94,83,192,231,222,223,221,220,219,115,122,139,153,165,174,177,183,193,188,161,215,215,167,170,169,145,127,103,92,106,223,226,224,224,222,221,221,114,121,138,153,165,174,177,182,199,129,42,180,201,150,160,165,150,124,110,87,133,236,224,224,224,222,221,222
24,144,149,155,159,162,165,169,172,175,177,180,183,185,186,187,189,189,190,190,190,191,192,192,192,193,192,192,191,146,151,156,160,164,167,170,174,177,179,182,184,187,189,190,191,190,192,192,192,193,194,195,196,195,195,194,194,147,153,158,164,166,170,172,175,178,182,185,186,188,191,192,192,193,194,195,195,196,196,197,198,197,196,197,197,148,155,161,153,168,171,174,177,180,183,186,188,190,192,194,194,195,197,198,197,198,198,198,199,198,198,199,199,149,158,166,112,146,177,174,179,182,185,187,190,192,194,196,197,197,198,198,199,199,198,199,199,199,200,200,199,151,159,159,107,105,181,176,181,184,186,190,191,192,195,198,198,198,199,200,202,202,199,201,202,202,202,202,202,152,160,166,124,85,167,181,181,186,188,190,194,197,199,199,203,203,200,202,203,203,203,203,204,203,203,203,203,153,159,169,140,82,141,187,183,186,189,195,192,180,193,204,181,191,206,201,204,205,204,203,204,204,205,203,205,156,162,170,156,104,104,186,182,150,137,183,190,150,117,160,168,127,181,210,204,205,204,205,205,205,197,179,143,156,163,168,175,131,83,154,177,156,143,146,200,170,115,140,182,124,115,213,205,205,206,206,206,198,180,137,117,158,163,168,177,149,110,115,165,194,175,140,188,183,132,158,182,123,96,199,211,208,208,206,201,186,145,119,199,158,164,169,173,171,141,113,105,192,186,137,168,189,132,153,184,125,81,179,216,208,209,202,198,169,108,168,219,159,165,170,174,181,149,124,124,152,197,153,146,194,138,139,190,142,76,166,219,210,199,200,193,136,104,209,212,161,167,172,177,181,165,175,161,133,173,158,109,174,134,116,188,158,80,131,221,187,184,197,164,100,171,218,210,161,168,172,177,178,189,188,135,106,127,149,87,143,133,105,220,188,75,76,140,159,181,170,110,140,222,211,214,161,167,172,177,180,187,176,141,120,118,137,112,131,144,103,138,121,80,121,151,162,158,125,108,209,215,214,215,162,168,172,176,180,182,199,181,139,124,121,134,109,167,129,109,166,177,182,168,138,126,92,165,222,211,214,214,162,168,172,175,179,183,199,191,165,145,125,114,119,158,179,209,206,192,178,158,124,102,112,212,213,213,214,214,162,167,173,176,181,183,198,200,188,160,127,107,144,186,210,202,195,180,165,143,114,96,185,218,212,216,216,215,162,168,172,176,182,183,198,206,198,159,127,124,161,195,207,200,188,168,147,130,95,151,221,212,215,216,216,216,161,167,173,177,181,183,192,202,205,167,149,155,157,194,203,199,180,160,137,111,105,210,215,213,215,216,216,216,158,165,170,175,180,185,188,196,200,175,156,164,142,178,192,186,171,156,127,95,170,226,216,218,217,218,219,218,115,118,119,122,125,131,131,165,195,174,159,156,126,149,173,159,151,135,109,116,192,194,198,200,203,206,211,212,107,106,108,109,109,110,105,121,197,180,151,140,115,142,169,149,130,115,101,111,115,116,120,121,123,127,127,126,110,112,115,116,116,116,119,113,185,171,140,130,125,145,165,141,117,99,100,119,119,119,119,121,116,113,121,135,110,110,112,113,112,114,115,112,189,167,150,145,144,146,153,131,104,92,107,121,121,120,122,125,142,179,187,175,111,112,115,114,114,115,114,118,202,182,170,165,150,138,145,120,98,90,113,122,121,122,116,141,205,196,212,186,112,113,114,114,115,116,114,122,196,182,178,169,138,129,138,110,98,87,113,122,121,121,120,192,224,190,177,210
2,171,172,173,173,173,174,175,174,173,173,174,173,172,172,172,171,170,169,167,165,166,165,163,162,159,158,157,156,172,173,174,175,175,176,176,176,177,176,175,174,174,176,176,175,174,175,174,170,165,166,163,161,160,158,157,156,173,175,176,178,178,178,178,178,178,177,177,177,175,161,162,164,158,152,146,153,171,166,163,163,163,161,159,158,177,177,178,179,179,179,180,180,180,179,180,176,156,143,145,147,143,122,102,90,134,171,171,164,164,163,161,160,178,179,179,180,180,180,181,181,181,181,180,164,151,150,140,134,146,114,91,111,119,122,145,168,166,164,163,161,180,180,181,181,182,183,183,182,183,184,181,172,162,144,124,110,98,65,60,85,98,74,65,153,172,165,163,161,180,181,183,183,184,184,185,185,185,178,168,164,149,108,78,66,77,93,143,137,104,77,107,168,168,167,165,163,181,182,184,185,185,186,186,187,187,174,160,145,109,63,45,55,169,187,183,184,179,171,178,172,169,168,166,164,182,182,185,186,186,189,188,188,187,174,150,101,63,53,45,94,192,178,179,179,177,176,174,173,170,170,168,166,184,186,187,187,188,189,189,190,186,176,142,71,46,45,49,156,189,181,181,180,179,176,175,176,174,171,169,166,185,186,187,188,189,189,191,189,186,174,136,71,47,41,81,194,184,185,183,181,180,179,179,167,161,172,170,167,186,187,189,190,191,191,193,187,181,169,119,57,59,52,90,194,184,186,184,181,180,182,140,104,93,139,176,167,187,188,188,190,193,192,194,187,183,163,108,69,69,51,102,197,185,188,185,182,185,145,105,105,86,123,179,168,188,188,189,191,193,194,193,185,184,163,114,84,67,45,127,201,184,188,185,189,155,106,113,102,84,160,175,170,188,190,192,193,194,195,191,184,183,160,113,86,64,50,89,198,193,185,194,165,94,94,104,80,121,183,172,172,189,192,193,193,195,196,192,184,179,153,119,89,60,60,57,97,163,200,170,113,87,87,85,77,176,177,174,173,190,192,193,194,194,196,191,183,178,153,117,82,61,60,66,64,79,131,96,90,102,83,63,145,185,176,177,173,190,193,194,195,195,196,188,183,189,154,112,88,62,61,66,73,80,73,74,88,85,75,153,188,178,180,177,174,190,193,194,196,196,199,183,190,189,147,109,87,64,61,69,71,80,86,76,82,74,160,192,180,181,180,177,174,191,192,194,197,198,197,182,194,180,138,105,89,65,61,70,73,80,85,77,55,147,196,181,182,181,180,178,175,192,194,194,197,200,195,184,192,171,131,108,92,65,61,74,79,81,82,63,123,195,185,184,182,181,180,179,176,193,194,196,198,200,192,184,187,158,129,111,89,65,62,78,80,84,64,86,199,188,187,185,185,183,180,180,178,194,195,197,199,201,191,181,173,149,124,105,85,63,63,78,76,73,52,164,197,188,188,187,186,183,182,180,178,194,195,197,198,199,190,178,166,146,119,103,83,62,63,76,74,47,131,203,191,190,190,187,186,185,182,179,179,194,195,197,199,198,189,169,159,136,112,96,79,64,65,64,48,120,204,193,193,192,191,187,186,185,183,180,179,194,196,197,198,197,188,165,156,133,111,91,75,62,51,61,142,205,195,195,193,192,191,189,186,184,183,181,179,194,196,198,197,196,183,163,150,135,109,85,67,45,100,193,208,197,197,195,194,192,190,189,187,185,184,182,179,194,196,198,196,187,161,149,147,130,100,72,55,63,195,207,197,199,197,197,195,194,192,191,188,185,184,182,179
21,0,0,15,22,32,48,67,78,87,94,99,103,106,109,112,122,121,122,125,126,128,131,132,132,133,135,135,134,0,2,16,24,34,50,69,80,89,95,99,103,106,118,115,83,122,125,127,129,131,132,134,135,136,137,137,136,0,6,17,26,35,54,71,83,91,96,101,108,103,141,125,26,111,132,129,131,133,135,138,139,139,138,139,139,0,10,19,28,36,56,74,83,92,98,104,109,105,144,127,37,103,136,132,134,133,137,139,139,140,140,141,142,0,13,19,29,40,59,76,84,93,99,105,110,106,145,124,39,94,139,131,136,137,140,143,143,142,147,145,145,0,15,20,30,42,62,76,89,96,100,108,113,107,145,132,51,88,143,133,138,140,143,146,143,87,102,154,147,0,16,22,33,44,66,78,90,98,103,109,114,110,142,134,61,75,146,138,140,143,143,149,123,50,80,159,147,0,16,24,34,47,66,80,91,99,107,112,113,112,141,132,67,59,145,139,143,144,151,144,96,47,136,154,149,4,17,27,35,48,69,82,91,100,107,112,114,114,149,147,70,53,145,139,143,146,155,128,64,84,161,151,153,8,18,28,37,51,74,84,94,101,108,113,118,116,157,154,83,62,146,142,145,148,134,99,52,143,157,154,154,13,21,27,37,53,73,84,95,103,108,113,117,112,143,132,77,56,142,141,148,150,125,55,89,166,153,156,155,14,21,29,39,55,75,87,95,103,110,115,155,111,95,96,53,51,143,143,150,149,105,47,145,159,155,157,157,15,21,32,41,58,77,87,96,106,108,123,165,104,54,45,30,55,124,134,140,132,52,94,166,155,159,158,158,17,23,32,40,59,79,89,97,106,110,154,113,80,49,12,25,58,106,120,116,77,45,155,157,158,159,159,159,16,23,32,41,62,80,90,101,101,153,169,137,100,78,22,11,42,77,95,79,30,106,169,156,160,160,160,160,18,24,34,44,65,79,89,99,106,164,153,177,152,104,38,9,36,53,74,51,46,163,160,160,161,161,161,161,18,25,35,45,66,79,91,94,129,134,131,168,153,73,32,19,25,41,52,27,104,171,159,162,162,163,163,162,18,26,37,46,70,81,95,95,150,146,105,69,108,72,40,24,20,28,31,24,143,165,162,163,163,163,163,163,20,27,36,48,69,81,94,99,153,109,66,48,98,94,50,25,22,19,24,26,149,164,163,165,166,166,165,165,21,29,36,48,70,83,93,110,165,118,111,90,90,122,63,40,29,21,17,28,152,167,164,165,166,167,167,167,21,30,37,49,71,84,91,120,165,134,116,79,162,162,80,68,36,16,15,39,161,165,165,165,166,167,167,167,21,30,39,52,73,84,90,125,178,148,100,118,198,145,87,72,38,17,13,52,168,163,166,166,166,167,167,168,22,32,39,54,72,84,90,127,179,123,100,138,169,115,72,62,44,23,8,85,176,162,166,167,167,167,169,169,24,32,37,53,74,86,93,122,157,115,114,131,157,111,85,50,42,24,10,121,170,162,167,168,168,169,170,170,23,31,37,55,75,86,94,115,136,136,131,126,160,106,98,60,26,21,18,143,168,164,167,168,169,170,170,170,23,30,39,58,74,85,97,106,141,164,112,131,152,92,77,52,23,14,33,157,166,166,169,169,169,170,170,170,22,29,36,57,72,83,97,100,139,155,111,106,127,72,51,31,21,3,57,165,160,166,169,169,169,170,170,170,21,28,33,55,70,83,95,102,123,132,109,107,106,72,52,37,23,0,75,168,157,164,166,165,167,168,169,169
4,156,158,159,161,163,164,165,167,168,169,171,172,172,171,172,170,170,170,169,169,168,166,166,166,168,167,165,164,155,157,159,162,163,164,166,168,169,169,172,171,173,171,171,169,171,172,171,169,168,169,168,168,168,167,166,165,158,159,160,164,164,167,168,167,169,169,172,172,173,172,170,176,170,172,173,172,172,171,170,169,168,168,167,167,158,160,162,164,165,167,169,170,171,172,176,172,188,176,153,150,184,172,152,168,174,171,171,169,168,169,168,168,159,162,163,164,167,169,170,171,173,177,162,184,218,169,156,120,200,165,137,115,172,174,176,171,169,169,169,167,161,164,164,165,168,173,171,169,216,212,177,144,217,182,144,145,213,169,142,80,162,148,148,177,170,170,171,170,160,165,166,165,169,173,167,188,236,231,196,114,184,200,129,164,221,168,118,132,179,126,85,144,177,170,172,172,162,166,168,168,170,172,167,212,220,224,177,110,179,200,140,161,195,176,192,177,117,113,76,91,178,173,174,173,164,166,169,173,172,170,178,224,190,216,161,93,159,186,192,185,199,229,231,180,110,76,72,80,179,175,174,173,164,167,169,171,175,168,192,223,177,197,169,79,134,169,178,199,211,215,196,188,144,83,56,88,183,174,175,174,165,168,171,172,174,171,219,216,174,172,185,76,111,165,102,144,181,186,176,197,156,105,52,102,186,173,176,175,167,168,170,174,168,193,229,186,160,146,123,62,111,173,70,122,169,135,184,205,169,123,62,125,186,174,176,176,167,169,172,175,167,216,218,171,139,140,116,89,113,145,76,128,186,79,187,224,187,141,74,154,185,177,177,176,168,171,174,174,174,233,215,168,133,121,106,99,105,104,97,103,141,96,175,238,201,153,82,125,189,178,179,177,169,172,176,171,183,246,211,169,132,112,93,99,111,109,146,146,168,199,190,213,196,146,103,82,183,182,180,179,170,175,178,169,196,248,210,167,125,117,101,105,103,117,168,181,211,205,206,177,166,153,120,80,171,185,180,180,171,174,177,168,209,247,211,158,130,138,117,100,92,142,197,210,209,198,191,159,126,146,110,93,180,181,181,180,170,173,176,168,221,246,206,161,160,160,123,113,159,213,225,210,209,197,168,140,112,113,84,125,189,180,181,180,168,171,175,169,226,242,210,188,193,167,128,179,222,232,233,210,200,180,153,130,105,91,81,167,184,182,181,180,168,172,176,172,232,240,224,206,196,180,139,205,228,233,239,201,176,163,142,124,101,71,122,191,182,183,180,181,170,173,176,173,234,244,232,209,188,184,150,210,235,234,223,189,158,145,134,117,88,80,176,187,183,183,181,182,170,173,179,171,223,248,232,214,188,179,170,214,232,216,199,174,144,135,125,102,72,128,192,182,184,184,184,182,171,174,178,170,209,243,220,209,195,179,177,199,212,196,175,153,140,138,115,83,85,180,187,187,184,184,183,181,172,173,179,171,213,231,206,203,203,187,179,189,200,184,165,142,134,130,105,71,143,195,184,185,185,183,181,180,171,173,179,169,211,221,196,203,204,181,164,185,201,183,157,128,121,119,87,111,191,188,187,186,183,183,182,182,169,173,178,171,202,223,200,202,192,181,157,176,204,177,137,109,112,101,90,173,187,184,186,185,182,181,181,181,114,114,120,105,169,237,211,210,191,182,161,164,199,161,121,104,102,88,87,107,105,104,104,104,102,105,104,99,81,79,85,66,143,251,224,216,199,190,167,152,193,161,119,101,91,81,74,73,69,70,70,69,70,68,74,149
0,184,185,186,188,189,191,194,194,195,196,196,196,197,198,200,198,201,201,200,201,201,201,201,201,202,200,201,201,185,186,189,190,191,192,194,196,196,197,198,198,198,201,202,201,201,202,202,202,203,202,203,202,202,202,202,202,184,187,189,192,194,194,196,197,198,200,200,200,201,203,202,201,203,204,202,202,203,204,204,204,204,203,203,203,185,187,190,192,194,195,197,198,199,202,201,202,203,202,202,205,205,203,203,204,205,206,203,206,206,205,205,207,187,190,192,194,194,196,198,200,201,200,204,205,204,210,215,200,200,211,222,200,202,226,184,202,209,208,208,206,190,191,193,195,196,199,199,200,199,212,233,199,181,232,223,185,165,222,227,193,173,226,183,177,214,205,207,208,190,192,195,197,198,200,201,205,201,238,233,208,155,198,221,199,154,176,226,201,155,199,205,161,204,209,207,210,192,194,195,198,200,199,228,220,187,235,227,218,170,185,221,208,163,175,229,203,145,159,215,175,163,197,213,209,193,195,196,200,194,217,243,222,184,214,234,217,184,184,222,211,161,185,228,191,149,115,200,197,177,151,194,215,192,195,198,200,195,234,243,230,200,196,236,215,185,176,230,216,150,187,222,171,137,80,168,212,195,145,174,222,194,196,199,198,205,239,239,240,210,182,232,216,179,174,234,210,142,152,189,159,111,94,202,220,201,149,189,220,195,197,199,195,218,229,221,239,212,171,218,213,173,163,219,195,143,119,162,152,86,141,228,218,193,149,212,218,197,199,201,196,234,234,217,218,180,139,188,194,164,139,173,169,136,111,166,147,120,208,225,209,162,159,221,216,197,200,200,211,243,226,191,199,156,120,165,175,158,116,142,157,108,137,203,204,210,210,206,186,147,180,223,217,198,201,195,223,243,228,197,183,170,133,152,184,165,102,123,156,173,226,232,223,209,188,175,164,142,191,222,218,202,204,198,216,243,237,218,187,171,147,154,200,162,99,143,222,243,234,228,216,199,176,157,151,133,208,221,220,203,204,202,217,243,240,227,210,188,173,178,191,176,194,240,243,238,228,219,205,183,162,152,135,170,225,219,221,202,205,202,222,243,242,233,221,211,187,193,208,229,243,242,239,233,220,203,187,167,155,139,156,223,221,221,221,201,206,202,221,243,242,239,230,222,207,204,220,233,242,242,236,226,212,191,168,153,143,137,213,224,222,223,222,203,206,203,220,243,242,242,236,227,217,211,216,230,241,235,227,220,199,175,154,145,129,190,229,221,223,223,223,202,206,208,216,243,242,242,235,221,209,208,210,222,230,224,210,201,185,158,149,125,171,231,223,224,225,225,224,203,207,209,209,239,242,238,228,215,202,203,207,215,217,204,191,176,162,147,124,156,230,224,225,225,225,224,224,206,211,213,208,233,243,234,224,213,200,209,215,217,211,194,178,156,139,113,134,224,228,225,226,227,227,225,226,191,182,182,169,172,177,164,155,150,146,157,160,155,151,140,136,128,114,122,226,229,224,227,226,228,228,226,226,152,142,143,137,125,124,122,111,105,92,88,80,74,77,73,73,77,80,106,174,225,228,227,228,228,228,227,227,143,146,143,139,134,129,123,112,105,97,92,82,77,75,73,70,68,71,72,56,165,241,225,228,228,228,227,227,152,144,146,142,135,125,121,113,101,96,89,80,75,73,71,67,69,69,73,58,187,237,226,228,228,228,229,230,164,146,147,141,135,125,120,110,98,95,87,80,76,73,70,67,66,69,61,104,239,226,228,228,229,229,230,231
18,110,117,122,129,139,146,154,163,168,169,170,174,179,183,187,189,195,196,197,198,200,201,204,204,206,207,209,213,113,119,122,130,139,149,156,163,168,170,174,172,180,179,185,193,191,192,201,202,201,203,204,206,206,208,210,213,115,120,123,131,140,149,159,161,165,173,167,192,206,151,133,172,211,181,149,194,208,204,206,207,208,211,212,213,114,120,126,135,145,151,154,168,209,160,142,219,198,169,150,201,230,174,128,111,193,210,207,208,211,215,214,216,115,121,125,136,141,152,146,227,235,162,150,234,182,191,197,211,188,161,159,111,121,216,206,209,212,214,217,217,116,122,125,131,159,181,142,236,223,179,172,203,184,180,182,183,150,166,165,152,99,182,215,212,215,216,217,218,118,122,128,130,242,204,151,150,239,189,181,135,171,146,153,139,138,186,173,167,131,117,218,214,215,216,219,221,119,125,116,174,255,217,191,139,207,218,174,115,175,164,115,76,170,198,189,185,163,107,147,226,215,219,221,223,118,126,115,211,233,232,219,164,138,220,177,123,136,205,149,73,121,190,196,208,171,139,98,178,228,218,219,222,119,125,120,213,170,221,210,164,102,164,170,120,94,158,136,73,101,197,225,216,176,144,120,114,223,218,221,223,119,123,129,232,163,176,164,121,92,103,125,103,70,98,77,160,233,218,207,202,173,148,126,110,215,225,223,225,120,119,137,251,201,196,158,102,83,79,103,92,46,57,176,252,228,213,196,171,154,138,117,132,228,222,224,226,122,115,161,248,193,178,156,109,73,68,110,87,36,154,255,247,229,205,183,149,129,125,105,171,231,223,226,227,123,110,177,255,219,195,168,129,90,88,100,86,140,251,253,250,226,192,169,141,121,112,107,212,226,225,228,228,122,112,168,255,237,222,203,170,149,151,139,160,234,255,254,236,207,178,153,132,116,99,139,231,223,227,228,229,123,117,162,255,249,228,200,175,169,173,169,217,253,250,244,216,191,165,144,125,115,97,183,231,225,228,230,231,124,119,156,255,253,228,204,190,189,185,197,232,245,242,218,197,178,154,136,124,111,108,217,225,228,229,230,231,122,122,143,255,255,234,214,206,201,200,214,229,232,227,193,177,161,144,126,121,98,143,230,223,226,230,231,231,121,128,127,247,255,245,233,218,205,202,208,216,208,205,181,161,147,134,122,117,97,199,228,224,225,230,231,232,121,130,125,208,255,255,253,233,207,191,178,188,185,182,171,146,133,125,119,98,136,229,224,226,227,231,232,232,122,129,132,163,255,250,248,237,205,181,167,168,173,176,165,140,127,121,115,88,188,229,224,226,228,230,232,233,122,129,140,138,226,240,219,215,199,175,163,163,165,172,169,146,130,124,100,112,222,222,225,228,230,230,232,234,122,128,140,141,175,241,210,193,178,159,163,168,150,164,165,142,123,121,87,149,229,221,227,229,231,232,233,234,120,127,141,152,154,219,193,179,177,166,187,182,149,155,163,143,122,116,85,170,231,222,227,230,230,233,233,234,119,128,142,152,150,197,199,188,196,181,180,182,152,141,156,143,125,114,78,154,235,223,227,230,230,233,233,234,115,127,140,150,151,179,224,205,201,181,171,178,155,134,146,138,123,117,83,125,231,221,226,229,230,232,233,233,116,127,139,149,156,165,242,225,208,185,167,172,161,134,130,134,124,115,95,95,223,222,226,228,230,230,232,233,117,128,137,149,158,161,240,236,209,184,163,167,166,131,125,135,122,113,101,86,207,225,227,228,230,232,232,233
21,164,167,171,175,177,179,181,183,184,186,186,188,189,188,190,187,186,186,186,185,185,184,182,183,181,178,179,178,163,168,173,177,178,181,183,185,186,187,189,190,191,191,189,190,191,188,188,186,185,185,184,183,183,180,180,179,166,169,173,177,179,183,184,185,187,189,191,192,194,191,199,160,159,197,189,190,189,187,186,184,184,183,182,181,167,171,175,178,181,184,186,186,188,191,193,194,194,193,215,142,116,200,191,191,189,188,187,185,186,185,183,181,167,171,177,180,182,186,188,189,190,193,195,195,193,197,211,141,128,200,192,192,191,188,190,190,188,186,186,185,169,173,177,182,183,185,189,191,192,194,195,196,193,204,210,138,131,202,193,193,192,164,137,190,190,188,187,186,171,176,178,183,186,187,191,193,194,194,195,198,195,209,210,139,138,204,194,194,188,149,108,186,192,189,188,187,171,176,180,184,188,190,193,194,195,196,198,200,198,211,205,140,142,205,195,194,184,141,123,198,191,192,190,188,171,174,180,184,187,190,192,194,196,199,199,201,197,215,201,139,136,207,196,193,178,126,147,203,193,193,191,189,171,176,181,186,188,191,193,195,198,200,200,201,198,220,202,137,132,207,197,190,173,119,177,200,194,194,193,191,174,178,183,188,190,192,195,196,199,201,202,203,200,228,203,130,145,210,191,185,153,123,199,198,196,195,194,192,175,180,184,187,190,193,195,198,200,201,201,200,207,225,184,119,159,208,186,184,123,143,206,197,196,196,196,195,175,181,184,187,191,194,196,199,199,208,185,152,177,203,152,104,164,206,195,171,112,181,205,198,197,197,196,195,175,182,186,189,192,195,197,200,199,210,183,133,124,119,115,98,172,201,194,143,124,206,201,201,200,199,198,196,176,181,185,189,193,196,199,200,206,203,197,177,156,113,93,117,158,175,170,115,159,213,201,202,201,200,198,198,178,183,187,190,194,197,201,200,219,224,213,228,193,145,94,108,123,139,134,108,193,208,202,203,202,201,200,200,179,183,187,192,195,199,199,210,204,202,209,224,182,128,102,97,110,118,109,131,213,206,206,205,204,203,202,200,179,184,188,193,196,200,199,219,175,165,196,170,176,138,112,100,96,108,97,163,218,206,207,206,205,204,202,201,180,184,189,194,198,201,200,222,202,170,142,113,183,163,121,105,94,100,98,184,217,208,208,207,207,205,203,204,180,184,190,195,198,200,204,223,188,144,121,98,160,182,139,113,102,100,93,183,217,208,208,208,207,206,204,204,181,185,190,195,200,199,209,224,180,163,160,127,188,200,156,137,109,104,93,182,220,208,208,209,209,208,206,204,181,186,191,196,201,198,217,227,190,184,149,169,245,201,162,152,116,107,100,189,220,211,211,210,209,208,207,207,181,186,191,197,201,199,219,228,211,173,155,229,234,188,155,149,123,110,105,193,220,212,212,210,210,209,208,207,182,188,192,198,202,201,218,242,212,166,176,236,217,183,151,138,127,112,115,206,219,213,214,213,212,210,209,209,180,186,192,197,201,200,218,233,186,181,179,233,213,188,169,129,119,111,127,216,216,213,214,214,211,211,210,209,178,185,192,195,198,199,213,212,183,205,170,230,213,179,168,134,117,110,143,220,213,214,213,212,210,208,208,208,179,185,191,196,199,201,208,204,217,212,175,226,199,167,147,128,120,109,155,221,214,215,213,212,211,209,210,208,179,186,192,196,199,202,205,208,220,198,168,211,185,154,129,119,117,106,171,222,214,216,214,213,212,209,210,208
1,188,191,194,195,197,198,199,200,203,202,202,203,203,200,203,207,201,204,204,203,202,203,203,203,203,203,202,202,191,194,197,198,200,202,203,203,205,204,204,206,207,211,188,170,208,204,206,206,204,205,205,205,207,205,203,203,195,198,199,203,204,204,204,204,206,207,206,209,195,216,204,105,208,215,206,206,207,207,208,208,209,207,206,205,198,200,201,204,205,207,206,206,209,212,207,231,182,163,215,102,174,189,210,210,211,212,212,211,212,211,209,209,200,202,205,207,208,210,210,210,212,214,208,236,178,156,217,108,136,141,159,224,211,214,213,214,214,213,212,211,202,205,207,209,211,211,213,214,214,214,213,236,183,159,231,141,135,172,113,223,214,214,215,216,215,215,214,213,205,207,209,211,213,214,215,215,216,216,191,238,201,145,234,164,127,183,109,203,222,218,219,218,216,216,216,215,207,210,212,214,213,215,218,218,218,229,146,195,225,133,218,176,136,206,137,173,228,219,222,221,221,220,218,217,208,212,213,214,217,219,220,219,222,233,134,185,226,132,199,189,145,226,173,142,231,221,223,223,222,222,221,220,210,212,215,215,220,221,223,221,226,241,143,188,224,137,205,205,143,199,207,130,213,229,225,224,223,222,222,221,213,214,217,219,221,221,226,223,230,241,145,201,247,157,187,226,140,174,225,139,182,238,225,226,226,225,225,225,213,215,218,219,222,224,227,225,232,229,143,191,248,152,147,221,133,174,239,158,152,240,225,229,228,228,227,226,215,218,220,222,224,226,228,226,236,228,168,147,236,119,133,212,133,152,234,178,133,234,230,230,230,229,228,227,215,218,221,223,225,226,228,225,242,231,160,113,221,196,176,167,192,204,175,158,126,220,236,231,231,230,230,229,217,219,222,225,228,227,229,227,243,220,160,164,163,236,181,184,224,188,155,164,116,186,244,230,232,233,232,231,219,221,223,225,228,227,228,230,239,218,209,203,133,197,206,240,227,204,153,148,128,132,247,234,235,235,234,231,219,222,225,227,228,229,230,232,239,212,196,184,139,195,241,238,205,235,215,162,123,103,230,240,235,236,236,235,218,223,225,228,228,230,230,234,249,206,176,167,199,216,205,182,146,248,254,228,171,90,202,247,235,238,237,236,219,221,222,227,227,228,228,235,255,215,165,168,157,153,143,134,176,228,248,224,193,133,176,253,236,238,237,236,218,221,222,224,227,228,229,234,255,235,163,162,162,161,179,215,254,229,222,207,164,125,155,251,235,237,237,236,220,222,225,226,228,228,228,232,255,255,175,168,189,186,245,255,252,241,217,194,154,90,153,252,235,237,237,237,220,222,225,228,229,229,230,233,255,255,198,180,203,183,239,255,255,246,211,179,144,85,146,253,236,237,238,237,218,221,224,228,229,230,231,231,255,255,217,194,222,181,236,255,255,246,202,166,134,86,168,253,237,239,239,238,220,220,223,227,229,230,231,227,248,255,234,212,235,182,218,255,255,231,193,158,122,91,207,249,240,241,239,239,226,228,229,232,234,235,236,232,239,255,249,229,225,200,193,255,255,221,186,149,109,97,236,243,241,241,239,240,183,188,193,201,203,205,211,214,218,255,255,246,216,203,170,255,248,210,174,138,102,120,255,248,252,252,243,241,102,106,109,110,111,114,118,120,117,238,255,233,207,193,165,225,230,195,157,130,108,120,182,184,185,187,218,248,110,112,113,113,115,114,114,118,99,204,249,217,203,190,169,202,216,188,147,127,116,107,105,104,133,199,223,234
21,151,155,158,161,163,164,165,166,168,168,169,169,170,168,167,168,168,166,165,164,163,162,162,161,159,158,158,156,152,156,159,162,164,165,167,168,170,170,171,171,171,171,170,168,162,166,166,166,165,164,164,163,161,160,159,159,153,157,160,163,165,165,168,170,172,172,173,172,173,172,174,177,113,139,171,168,166,166,166,164,163,161,161,160,155,158,162,165,166,167,169,171,174,174,174,174,174,173,178,176,101,131,173,170,169,167,168,167,165,162,162,162,157,160,163,166,167,168,171,173,175,175,175,175,175,174,185,167,102,140,174,171,171,167,162,168,167,165,164,164,157,161,164,166,169,171,172,174,175,176,176,177,178,174,191,163,103,149,177,171,170,154,114,146,172,167,167,166,159,162,166,167,171,172,173,174,175,177,179,179,179,178,194,161,106,159,176,173,167,141,93,138,172,169,168,166,160,164,167,170,172,173,174,176,178,179,181,180,180,180,194,156,103,164,177,174,162,137,97,161,170,168,168,167,161,164,167,170,172,174,176,178,179,180,180,180,179,183,193,152,99,164,179,173,158,125,111,173,171,170,169,169,162,166,169,172,173,175,177,179,179,181,181,181,179,191,193,145,97,170,177,166,155,108,142,177,172,172,171,170,164,168,171,173,175,176,178,180,181,181,179,177,178,200,188,134,109,181,170,159,140,101,166,176,174,173,172,171,164,167,171,174,175,178,180,181,181,186,178,136,132,183,160,113,114,183,167,160,115,117,180,177,175,175,174,173,165,168,172,175,176,179,181,181,182,185,182,143,109,107,102,88,127,179,170,148,99,156,181,177,176,176,174,173,166,169,172,175,178,180,181,182,185,192,181,179,150,121,82,81,127,155,156,121,107,179,181,178,176,176,175,174,166,170,174,176,179,180,183,183,192,199,193,209,185,140,91,84,99,113,120,95,143,185,180,179,178,178,177,176,167,171,174,177,180,181,184,186,190,161,181,191,176,128,92,83,89,94,94,97,174,184,182,181,180,178,179,178,167,171,175,178,181,182,183,196,175,134,168,133,163,141,105,86,78,86,84,126,188,184,183,183,181,179,179,178,169,173,176,179,182,184,184,201,185,151,120,85,146,161,120,90,77,80,82,156,189,186,184,183,182,182,181,180,170,175,177,180,182,184,186,200,165,127,107,86,124,175,135,102,86,81,83,170,189,187,186,183,183,183,182,180,170,174,178,181,183,184,194,202,162,148,136,113,169,186,147,125,95,86,81,171,192,189,188,186,184,183,182,181,170,175,179,181,183,184,201,199,171,157,130,157,215,186,147,135,102,91,89,174,193,189,189,188,185,184,184,183,171,176,179,180,184,185,205,207,186,147,143,211,206,169,139,132,106,95,98,182,191,190,188,189,187,186,186,183,171,176,179,181,185,186,209,216,176,149,157,220,194,165,134,121,109,95,109,190,190,190,189,189,188,187,185,183,172,176,180,183,186,186,209,202,162,166,162,216,191,167,147,108,101,93,128,195,192,192,191,190,188,187,186,185,171,175,179,181,184,186,202,184,182,175,161,214,187,158,142,110,100,92,150,196,193,192,190,190,189,188,187,185,171,174,176,180,183,185,192,192,206,173,173,203,172,144,125,108,101,96,167,195,192,190,189,188,187,186,186,183,171,175,177,181,184,187,188,199,198,163,159,185,158,130,109,102,97,105,181,195,192,191,190,188,189,187,186,184,172,175,178,181,184,188,189,194,180,160,148,168,153,126,113,102,93,115,192,194,193,192,191,189,189,188,187,185
0,201,203,205,207,210,212,212,213,214,215,217,217,218,218,218,218,217,218,219,218,216,214,214,213,212,213,213,212,202,204,206,209,210,212,214,215,217,217,218,219,219,219,219,219,218,219,219,219,217,215,216,217,214,213,214,212,204,205,209,211,211,213,216,218,218,220,221,221,220,220,221,222,218,219,219,220,220,218,216,216,216,214,215,214,205,206,208,210,211,212,216,218,218,221,220,221,222,224,222,222,223,223,219,221,221,219,218,217,215,214,217,216,204,208,209,211,212,215,219,218,221,227,223,220,212,202,221,220,200,202,222,218,219,219,222,218,218,217,217,217,205,208,211,212,214,217,218,219,217,191,206,241,202,148,152,224,183,121,178,240,222,200,177,227,218,219,219,219,207,209,212,213,214,218,216,225,225,184,138,223,225,168,112,225,191,131,109,178,189,215,134,202,229,218,221,220,209,210,213,213,216,219,215,244,243,221,146,141,233,159,120,229,187,138,78,129,156,220,183,143,205,227,219,221,210,211,213,215,220,217,230,234,228,228,158,96,211,168,130,234,192,114,114,178,128,210,212,179,142,190,227,220,211,213,215,217,220,216,245,210,203,216,127,102,207,154,138,224,171,89,134,183,94,189,240,205,149,101,226,222,211,214,217,219,217,217,252,218,204,192,99,122,200,127,128,196,152,80,133,178,106,228,250,199,129,97,225,222,212,214,217,220,217,237,243,204,196,186,114,125,176,112,107,170,138,66,138,160,154,234,214,175,85,155,238,221,214,217,219,221,217,254,246,194,148,162,114,107,176,114,93,178,114,93,185,173,191,196,166,128,82,216,230,226,214,218,219,222,219,255,243,212,174,117,61,117,209,123,101,202,182,203,190,174,146,165,137,80,135,239,225,228,215,218,219,221,224,255,232,212,195,164,105,101,141,99,108,231,227,202,178,165,119,120,120,65,187,238,226,225,215,218,220,219,233,255,234,212,195,183,138,95,114,149,223,240,223,191,167,150,110,97,93,74,224,232,227,228,217,218,221,219,239,255,240,216,198,194,156,121,128,201,248,235,213,179,154,131,96,91,58,149,243,228,227,229,218,219,222,219,238,255,245,220,201,195,168,128,134,219,250,227,204,170,141,110,88,65,93,235,230,230,228,228,218,219,221,222,231,255,247,226,206,189,168,128,171,226,236,215,199,160,124,94,77,60,201,240,231,232,229,229,216,220,223,224,230,255,245,230,212,186,163,148,204,221,205,205,186,145,103,84,50,161,246,232,233,233,233,233,219,220,226,221,234,255,248,243,213,185,174,182,218,191,185,187,165,125,93,55,117,245,234,235,235,235,234,235,219,221,224,216,251,255,251,251,218,194,182,194,207,169,179,168,140,105,69,77,233,239,237,237,236,235,234,235,221,222,220,224,255,245,248,243,203,190,189,189,172,168,170,151,124,84,66,204,244,236,236,236,236,235,234,234,218,221,215,236,235,214,230,222,186,186,187,172,163,160,141,129,92,60,183,244,233,238,235,236,235,234,233,233,219,216,213,245,218,190,191,189,176,175,177,160,148,143,123,99,67,160,238,235,237,238,236,235,234,233,233,233,223,202,229,242,196,182,172,162,160,187,175,128,136,136,102,59,159,239,235,239,239,238,237,237,236,234,234,235,212,203,254,231,177,159,167,141,151,188,149,112,138,120,65,128,237,238,237,239,238,238,238,237,237,236,236,235,196,233,250,226,173,144,153,131,154,170,132,115,125,82,81,218,237,239,240,239,238,238,237,237,238,237,237,235
5,153,157,159,163,165,168,171,172,173,173,174,176,176,175,176,176,176,176,176,177,177,175,175,175,176,177,177,176,155,159,162,164,168,170,172,174,176,176,177,178,177,177,178,179,178,179,179,180,179,179,179,178,179,179,179,179,157,159,163,166,171,173,175,177,178,178,179,179,180,180,173,171,183,181,181,181,181,183,184,182,181,180,180,180,159,162,165,169,172,175,177,178,179,180,181,183,179,192,162,112,187,184,184,184,185,184,185,186,183,183,182,181,160,165,168,170,174,177,178,183,183,182,184,181,193,196,136,131,189,185,185,186,186,188,188,187,187,186,184,183,162,166,170,173,177,179,183,158,173,187,184,189,216,138,115,187,188,186,186,185,187,184,185,190,189,188,187,185,165,167,171,174,178,176,199,122,138,194,180,217,193,96,171,194,187,186,195,197,193,134,136,200,190,191,190,188,165,169,172,175,177,186,196,97,159,193,189,206,133,125,199,187,188,207,207,166,146,116,163,196,191,193,193,190,166,170,174,178,177,204,155,104,193,190,187,154,100,172,195,184,202,201,139,106,162,184,197,192,193,194,194,193,167,170,176,178,177,210,140,126,198,188,165,122,107,199,180,183,174,116,118,183,201,196,194,196,194,194,195,194,168,172,176,179,179,212,142,130,201,182,159,131,114,199,166,178,108,106,194,199,194,195,195,198,197,196,196,195,169,172,175,179,182,207,147,123,200,180,163,122,127,172,158,160,91,164,203,195,198,196,198,197,197,198,197,196,170,174,178,181,183,195,188,127,171,186,165,96,123,134,153,133,113,193,198,199,199,198,194,200,200,199,199,198,170,174,179,183,185,184,203,170,124,172,142,124,94,107,136,114,148,206,196,192,199,207,181,139,202,200,199,198,169,173,177,179,186,179,191,207,149,127,120,111,99,103,103,114,173,199,191,200,212,186,194,139,165,210,199,199,170,174,177,180,185,184,186,217,189,135,97,88,90,92,93,125,151,184,200,182,152,126,159,178,134,178,204,199,171,175,178,180,184,187,186,211,200,142,92,86,87,85,93,124,137,146,161,112,117,177,180,173,121,149,205,197,172,176,180,181,183,187,186,203,207,142,88,82,83,81,91,108,117,99,112,148,195,187,186,136,130,205,200,200,173,176,179,181,185,187,186,199,211,150,89,78,83,83,86,98,93,107,186,207,192,183,154,102,195,206,201,201,176,180,182,185,187,188,188,196,212,158,96,77,81,86,81,88,68,141,216,197,184,171,101,126,211,198,201,201,152,159,167,171,174,180,180,189,211,167,105,77,80,81,86,105,113,122,175,187,186,139,95,188,213,206,206,207,86,88,92,93,96,105,94,159,221,175,117,79,82,81,85,109,136,148,124,173,187,121,110,173,172,176,179,181,92,91,90,90,89,93,77,158,219,181,129,84,78,86,97,121,142,155,138,161,162,100,88,89,92,93,95,95,92,92,92,100,99,100,87,165,214,186,137,90,80,86,121,145,160,150,119,120,118,97,103,100,104,102,97,94,90,90,91,94,95,100,87,154,211,189,143,103,93,81,131,153,154,131,100,86,91,105,110,104,102,97,124,165,91,91,92,93,93,97,85,153,203,184,146,116,101,78,124,150,142,109,86,89,99,102,101,90,120,172,202,192,91,92,93,93,92,95,86,173,207,180,152,123,99,79,103,127,116,93,86,99,105,100,95,155,215,207,188,172,90,90,92,93,93,93,89,189,206,175,146,110,89,77,88,99,92,86,97,101,105,101,175,226,202,186,176,154
2,170,171,172,171,172,173,173,173,172,171,172,172,170,171,171,169,168,167,165,162,163,162,160,158,156,154,153,152,171,172,173,174,174,175,175,176,176,175,174,172,172,175,175,173,173,174,173,168,163,164,160,158,157,155,153,152,172,174,175,177,177,178,178,177,177,177,176,177,173,158,159,161,154,148,141,149,170,163,160,160,160,157,155,154,176,177,177,179,179,179,179,179,179,178,179,175,152,137,140,142,137,112,90,76,127,170,169,162,161,160,158,156,177,178,179,179,180,180,181,181,181,181,180,161,146,145,134,127,141,104,77,101,110,112,140,166,163,161,160,158,179,180,181,181,182,183,183,182,183,184,181,171,159,139,116,99,85,48,41,71,85,58,47,149,171,162,161,158,180,181,183,184,184,185,186,186,185,177,166,162,144,97,62,48,61,80,137,131,92,61,95,166,166,165,163,160,180,182,185,186,186,187,187,188,188,173,157,139,98,45,24,35,168,188,183,185,179,170,177,170,167,166,164,161,182,182,185,186,187,190,189,189,187,173,145,89,45,33,25,81,193,178,179,178,176,175,173,171,168,168,166,164,184,186,187,187,188,190,191,191,187,175,136,54,25,24,28,153,190,181,181,180,178,175,174,175,173,169,167,164,186,187,188,189,190,190,192,190,186,173,129,54,27,19,66,195,184,186,183,181,180,179,178,164,158,171,168,165,186,188,190,191,193,192,195,188,181,168,109,38,40,32,76,195,185,187,184,181,180,182,134,92,79,133,175,165,188,189,189,192,195,194,195,187,184,160,96,51,51,31,89,199,186,189,186,183,186,139,94,94,71,114,179,166,189,189,191,193,194,196,195,185,184,160,104,69,49,24,119,204,185,189,186,190,151,94,102,89,69,157,174,168,189,191,194,195,195,197,193,184,183,157,103,72,46,29,74,201,195,186,196,163,81,81,92,64,112,183,170,170,190,194,195,195,197,198,193,184,178,149,110,75,42,42,38,84,160,203,168,103,72,72,71,61,175,177,173,172,191,193,195,196,196,199,192,184,178,149,107,66,43,42,49,46,63,123,82,76,90,68,45,140,186,176,176,172,192,194,196,197,197,199,188,183,191,150,101,74,44,43,48,57,64,57,58,74,70,59,149,190,178,180,177,173,192,194,196,198,198,201,183,192,190,142,98,73,46,43,51,55,65,71,60,67,57,157,193,180,181,180,177,173,192,194,196,199,201,200,182,196,180,131,94,75,48,43,53,57,64,70,61,36,142,198,181,182,181,180,177,173,194,195,196,199,203,197,184,194,169,124,96,78,47,43,57,63,66,67,44,114,197,185,185,182,181,180,178,176,195,196,198,200,202,194,185,188,154,121,101,75,48,44,62,65,69,46,71,202,189,188,186,185,183,180,179,178,196,197,199,202,204,193,181,171,143,116,93,70,45,44,62,60,57,32,161,200,189,189,188,186,183,182,179,177,196,197,199,200,202,192,177,164,140,110,91,67,44,45,59,58,27,123,207,192,192,191,188,187,185,182,179,178,196,197,199,201,201,190,168,155,129,102,83,64,46,47,46,27,111,208,194,195,193,192,188,187,186,184,180,179,196,198,199,201,199,189,163,152,126,100,77,59,44,31,42,136,208,197,197,194,193,192,190,187,184,183,181,179,196,198,200,199,198,184,160,145,128,98,70,50,24,88,194,212,199,199,198,196,194,191,191,188,185,184,182,179,196,198,201,198,188,158,144,142,122,88,56,36,45,197,211,199,201,199,199,197,195,194,193,189,186,185,182,179
13,195,195,196,195,195,195,196,198,197,196,196,197,198,199,199,198,199,199,200,199,200,198,198,197,197,196,196,195,196,198,198,197,197,197,199,198,198,198,199,198,198,200,201,200,201,201,200,200,201,200,198,199,200,199,197,196,197,199,198,199,199,199,200,199,200,200,200,200,200,200,201,200,200,198,201,203,203,201,200,200,200,199,198,198,197,198,199,199,199,201,201,201,200,199,200,202,202,201,204,211,208,181,159,185,194,199,203,202,202,200,200,200,197,198,200,200,200,202,202,201,200,200,201,203,201,210,230,233,228,195,147,111,127,134,187,205,202,201,201,201,198,198,199,201,201,201,201,201,203,203,201,201,201,208,202,216,227,205,153,108,89,107,127,210,202,202,202,201,199,199,200,201,201,201,201,202,204,202,205,192,171,192,171,165,202,206,178,120,98,149,120,204,204,203,203,202,199,200,201,202,202,203,203,204,203,207,229,192,153,180,191,190,200,194,192,126,93,128,116,202,205,205,204,203,199,200,201,202,202,203,203,203,199,210,234,202,174,143,160,192,203,181,139,97,65,127,188,206,206,205,205,205,199,201,200,201,202,204,201,209,205,151,162,212,196,157,89,124,184,187,155,134,107,104,204,208,206,205,205,204,199,200,202,202,201,199,207,227,200,130,100,181,217,173,105,41,114,148,164,188,167,111,147,213,206,206,205,205,199,200,201,201,201,211,230,212,182,137,102,139,222,178,134,62,56,67,172,210,195,155,105,189,208,206,205,205,200,200,200,200,207,222,205,182,182,156,120,96,217,187,160,100,57,62,135,219,210,177,122,123,209,206,204,204,202,201,201,201,219,207,172,161,191,168,133,72,167,211,180,137,60,71,123,211,215,181,144,102,177,210,206,204,202,201,202,203,222,214,188,157,191,172,146,109,70,195,203,165,108,97,204,205,201,175,150,110,155,214,207,206,201,200,200,204,217,206,189,158,156,178,177,146,61,93,204,193,180,134,206,201,177,147,131,99,164,213,207,206,201,201,201,202,220,223,205,179,148,150,184,161,137,60,149,200,183,183,201,187,164,135,105,92,190,210,207,206,203,204,205,203,218,228,216,192,176,160,162,159,175,117,180,218,209,213,195,176,155,127,99,108,207,209,209,208,157,160,164,164,202,231,223,204,186,177,178,162,136,143,213,227,226,206,191,172,147,117,90,142,214,212,211,210,98,98,99,91,158,233,223,212,197,185,187,184,156,146,201,226,225,205,177,161,140,109,90,127,156,158,160,162,101,101,101,97,121,223,217,215,212,198,190,185,172,140,169,219,215,198,172,144,125,101,95,95,91,90,93,100,101,102,102,103,97,192,214,213,215,211,199,187,172,154,140,202,202,184,164,132,113,99,92,97,104,125,152,179,101,103,104,105,97,135,214,210,217,216,201,187,170,156,142,168,186,169,144,127,108,89,105,168,191,204,209,211,102,103,103,104,106,97,176,215,213,208,192,177,164,152,140,143,165,158,138,120,103,81,166,223,208,199,193,200,102,103,103,102,105,98,121,215,207,191,176,167,160,149,129,128,152,159,145,110,92,93,209,214,198,185,166,161,102,103,102,102,101,103,98,192,209,179,163,164,157,144,123,115,157,170,135,99,82,148,223,210,191,152,141,144,102,102,103,101,101,106,96,169,214,188,180,174,158,139,124,113,164,162,114,92,90,209,221,222,198,144,114,139,102,103,104,101,101,104,95,159,219,197,194,182,163,144,131,111,166,145,104,83,123,219,212,230,216,157,106,122
23,171,173,178,179,180,181,182,183,183,185,186,185,185,184,184,185,186,186,186,186,185,186,186,185,186,184,185,184,173,175,179,180,181,183,183,185,186,185,185,184,185,186,187,188,189,188,189,186,186,187,187,186,186,186,186,185,176,178,180,183,184,185,185,186,189,187,187,187,189,186,186,183,174,178,188,192,189,189,190,189,189,189,188,187,178,179,183,184,185,187,188,189,189,190,192,191,187,199,211,192,172,157,169,156,180,194,192,192,191,192,190,188,179,181,184,185,187,188,191,191,190,192,193,191,203,213,200,176,151,150,132,109,182,197,193,194,193,193,193,192,180,183,185,187,189,191,192,192,192,192,194,207,207,168,161,127,139,145,143,176,196,193,195,194,195,196,195,195,182,184,187,188,191,192,192,193,194,193,194,202,180,129,124,165,203,200,204,201,195,197,197,196,196,197,197,196,185,187,189,192,192,193,194,194,196,195,196,193,166,137,130,215,195,196,189,190,200,197,199,200,200,198,198,198,186,188,191,193,193,195,196,196,197,197,199,194,166,163,124,195,196,207,193,126,176,203,200,200,201,201,199,199,187,190,193,194,195,197,198,198,199,199,198,199,183,164,147,208,220,212,190,113,142,213,200,202,201,201,200,199,189,192,194,194,197,198,198,199,200,200,198,205,191,199,221,217,200,196,183,97,113,165,169,206,200,201,200,200,189,192,194,195,198,198,199,200,201,200,199,198,203,214,207,199,202,192,155,103,59,123,129,208,204,202,202,201,191,192,195,198,198,198,200,201,202,201,197,198,206,212,214,198,197,186,112,87,53,98,91,126,213,205,204,204,192,193,195,198,199,199,201,202,202,205,203,202,203,207,201,192,198,177,103,79,57,78,90,68,131,214,203,205,193,194,196,199,199,200,202,204,202,210,214,196,198,199,199,200,188,141,96,85,59,66,88,90,82,203,207,205,194,195,198,199,201,202,203,204,204,205,209,199,202,203,194,170,130,88,100,90,62,63,87,80,130,215,205,206,194,196,197,199,202,203,203,204,206,198,204,201,197,181,154,117,66,74,104,86,56,74,94,86,193,215,207,207,193,197,199,200,203,204,204,205,207,199,202,197,192,182,136,94,61,94,91,58,54,80,85,141,218,207,209,208,193,197,198,201,203,203,204,205,207,201,199,195,200,184,114,73,62,73,55,54,67,78,91,197,214,210,211,210,193,196,197,200,200,202,204,204,206,200,195,195,203,165,111,88,57,53,58,70,87,75,132,220,209,211,212,212,194,197,198,200,201,203,203,203,205,199,196,201,205,170,121,99,60,58,85,96,102,83,174,222,211,211,211,211,194,197,199,200,203,204,203,203,206,197,193,209,201,171,132,104,77,64,94,103,106,87,190,218,211,211,211,211,193,196,199,200,203,204,204,204,206,197,188,209,199,170,136,107,87,66,94,105,101,99,208,214,212,212,211,210,193,197,199,200,203,204,205,204,206,195,188,202,196,167,133,104,91,71,91,109,89,129,222,211,213,212,212,211,195,197,198,200,202,204,205,204,208,187,185,200,191,161,131,103,90,77,85,102,83,186,217,210,211,211,213,213,196,199,202,203,206,209,210,210,213,184,196,200,181,156,128,103,89,84,81,85,157,223,214,215,214,215,213,210,128,132,138,141,143,145,149,155,151,169,214,203,177,147,121,103,90,88,77,142,204,198,200,206,207,202,199,197,101,101,103,102,103,104,106,106,94,182,224,202,175,139,120,105,89,87,94,114,125,141,149,174,187,177,184,183
12,192,193,194,197,199,199,200,202,201,202,202,203,203,204,205,204,204,205,206,204,204,205,205,204,204,203,202,201,194,196,198,198,200,201,202,205,203,204,204,204,204,205,205,208,206,208,209,206,206,207,206,205,205,205,203,203,197,198,199,201,202,202,203,206,205,204,204,207,207,212,210,198,208,208,208,210,209,207,208,207,207,206,207,206,198,200,201,203,204,205,205,207,204,211,221,206,203,237,226,172,155,219,214,187,204,209,208,209,209,208,209,208,199,200,202,205,206,208,207,206,210,255,251,202,175,248,231,166,91,201,224,159,144,215,210,211,211,210,211,209,200,202,204,207,207,209,209,204,216,255,254,198,169,251,228,177,90,205,204,154,92,193,220,209,211,211,211,210,201,204,207,208,208,211,209,205,226,255,250,202,162,255,223,186,127,221,191,130,78,160,227,211,214,213,214,214,203,206,208,208,210,207,221,249,203,202,238,239,145,234,247,174,147,225,202,130,67,144,227,213,215,215,214,214,204,207,210,210,212,207,255,255,197,144,192,202,120,204,236,124,148,240,173,109,63,136,227,214,217,217,216,215,207,210,210,213,208,226,255,254,224,142,157,152,73,105,133,89,158,190,106,76,66,128,231,216,219,219,217,216,208,211,211,213,209,243,255,255,227,173,123,136,76,57,60,183,219,193,137,130,115,136,234,217,220,220,218,217,210,211,214,214,210,252,233,245,235,193,137,77,110,85,179,255,254,229,186,180,151,146,234,219,221,219,220,219,210,214,214,214,215,255,255,218,224,197,145,88,83,153,255,255,250,227,192,165,133,120,229,222,223,220,220,220,213,215,217,212,231,255,255,208,205,201,160,116,70,237,255,255,249,228,196,155,115,120,232,224,225,223,222,223,214,217,220,213,232,255,255,240,191,182,206,165,117,255,255,255,250,226,180,148,109,120,235,224,226,225,224,224,214,217,219,218,223,255,255,239,203,168,175,191,220,255,255,255,249,217,179,145,113,103,229,229,227,227,225,224,216,218,220,217,227,255,255,248,229,220,183,232,255,255,255,255,250,210,185,138,106,100,229,232,227,227,227,226,218,219,221,218,232,255,255,255,245,240,216,230,243,255,252,248,239,215,177,133,91,128,242,227,231,228,229,229,218,219,223,221,229,255,255,255,253,241,224,229,230,255,247,233,224,215,159,120,79,190,241,228,232,231,231,230,219,221,223,225,225,255,255,255,255,234,216,229,229,250,238,221,220,198,142,94,108,239,232,231,231,231,232,231,220,221,223,228,222,249,255,255,251,225,208,219,226,241,235,219,206,171,121,71,188,244,233,233,233,232,232,232,224,228,230,235,228,250,255,243,234,222,215,226,232,252,238,213,189,150,82,120,243,233,237,234,233,233,235,233,211,196,183,172,152,145,144,119,111,110,103,109,97,99,94,86,86,82,55,192,255,239,238,237,236,236,237,236,140,127,119,115,94,78,76,69,57,46,39,36,18,15,18,13,9,11,16,44,113,222,240,235,235,235,234,234,135,118,124,113,99,88,83,74,63,53,49,41,27,24,23,20,15,11,9,4,0,200,245,234,235,234,233,233,166,114,122,113,98,89,77,71,61,51,45,36,24,23,24,21,13,9,12,0,96,255,233,236,235,234,235,234,189,117,121,108,97,88,74,68,58,49,43,34,25,25,23,19,12,4,8,0,194,253,236,239,237,236,238,237,202,120,117,109,101,88,79,67,58,46,39,35,26,24,22,18,12,6,6,11,225,245,241,241,239,238,238,238
10,169,173,177,181,184,188,190,193,192,194,195,196,198,196,198,198,198,198,198,199,198,198,200,198,198,198,195,195,172,176,181,185,188,191,194,196,196,198,199,200,201,201,202,201,201,202,201,201,201,201,202,202,201,200,200,199,177,180,184,188,192,195,198,200,201,202,203,203,206,204,204,209,206,205,206,206,204,204,205,206,206,204,204,203,179,184,188,192,196,199,202,204,205,207,208,208,207,211,207,165,210,210,209,209,207,209,210,209,209,209,208,206,182,186,191,194,199,203,206,208,209,210,211,211,210,215,227,140,178,221,210,211,211,212,213,213,213,211,211,209,185,190,194,198,202,206,209,210,211,213,215,215,216,213,231,192,139,215,216,215,215,216,216,216,216,214,213,211,188,192,196,201,205,209,211,213,215,215,216,217,221,218,228,228,154,186,226,216,217,218,219,219,218,218,217,215,190,195,200,204,208,211,213,215,217,218,218,218,213,210,231,254,200,150,226,220,220,221,221,221,220,219,219,218,192,197,202,208,211,214,215,216,217,220,219,228,210,132,191,255,237,143,195,231,224,227,225,225,225,222,220,219,194,199,205,210,212,216,218,220,222,223,223,229,234,159,116,239,252,167,155,236,224,227,227,227,226,226,225,224,197,203,207,209,214,218,220,223,225,226,227,224,253,238,170,172,235,197,131,233,227,229,231,230,229,229,227,227,199,204,209,212,216,219,221,224,227,228,227,243,220,255,229,133,154,222,116,218,233,232,233,232,232,231,229,229,201,205,210,214,217,221,225,225,226,228,241,243,169,179,233,153,99,150,111,195,241,231,234,233,233,234,233,233,201,205,210,215,218,223,226,228,224,247,255,223,165,70,182,197,115,80,86,138,246,234,236,235,234,235,236,235,202,206,211,216,219,225,227,229,226,248,255,175,107,27,111,193,152,89,75,94,223,242,236,237,236,235,235,235,203,208,213,218,222,227,227,233,245,219,255,208,124,35,83,178,182,142,90,82,196,248,236,239,239,237,236,236,203,208,214,219,223,227,227,236,255,242,221,255,218,88,99,211,201,175,103,72,182,253,238,241,243,240,238,237,205,208,213,220,225,228,229,231,235,255,228,203,240,178,164,235,207,180,112,66,176,255,240,243,243,241,241,239,203,208,213,218,223,226,227,234,206,217,220,145,208,214,136,241,209,168,125,70,168,255,241,244,243,241,241,241,205,209,214,217,221,226,226,232,247,209,187,159,134,192,221,255,219,167,114,75,168,255,240,243,242,240,240,240,205,209,214,218,221,225,226,230,255,246,191,173,165,255,255,251,212,155,109,78,178,255,240,242,242,240,240,242,204,210,214,218,221,226,229,228,246,255,216,209,205,255,255,235,198,136,108,84,167,255,241,243,242,242,241,242,206,211,215,219,222,225,227,230,237,255,229,243,214,255,246,211,182,138,128,97,154,255,241,243,243,243,242,241,204,211,218,222,227,231,233,237,240,247,244,254,216,233,240,204,186,154,159,106,168,255,244,246,246,245,243,243,124,131,137,140,146,154,159,161,163,237,255,251,228,200,225,205,204,172,156,102,171,238,230,236,238,241,242,243,107,107,105,101,102,104,105,108,99,177,255,232,217,197,199,212,224,176,136,104,110,121,123,127,132,134,134,139,114,115,114,119,122,121,119,118,117,123,228,211,204,196,193,217,224,171,126,101,120,119,116,118,116,115,113,113,112,112,112,116,116,119,118,115,119,106,196,218,202,200,209,204,211,172,121,102,132,129,126,132,131,131,132,134
6,152,153,153,154,156,155,157,157,158,158,158,157,157,157,157,156,157,157,158,157,158,157,156,155,154,153,153,154,157,158,158,158,159,158,158,159,159,160,159,159,159,159,160,159,161,160,159,159,160,159,158,157,157,156,156,154,160,160,160,161,161,162,162,162,162,163,163,163,163,163,163,164,164,163,162,162,163,163,160,159,160,160,159,153,162,163,163,165,164,164,164,164,165,166,165,165,166,166,166,166,166,165,165,165,164,165,163,163,164,163,162,143,165,166,166,166,166,167,167,167,168,168,168,167,168,169,168,168,168,167,168,169,167,166,172,166,165,165,165,158,169,168,170,169,169,170,170,171,171,172,173,159,147,170,171,172,171,170,166,167,163,168,194,164,165,167,167,163,172,172,173,173,172,173,174,175,174,173,183,147,98,153,161,163,170,169,159,161,161,151,170,142,166,170,169,169,173,174,176,176,175,176,178,179,178,178,189,153,152,168,164,156,165,161,152,140,132,120,120,150,171,172,172,171,176,177,178,179,179,180,181,180,178,178,182,183,183,173,151,142,124,117,108,103,113,142,169,175,175,175,174,172,179,180,181,181,181,182,176,173,173,178,181,176,159,139,125,105,104,118,139,165,176,179,180,178,177,176,175,174,181,182,183,184,184,182,171,168,165,163,152,129,104,91,102,149,174,180,182,182,182,183,182,180,179,178,178,176,184,184,184,184,191,190,186,180,148,122,119,108,91,103,157,179,185,186,186,186,185,185,185,183,181,180,180,179,186,186,186,186,197,198,202,173,125,113,111,119,126,126,121,124,142,166,188,188,187,186,187,186,184,183,182,181,188,188,188,191,203,204,206,165,137,139,118,112,124,132,124,120,116,101,170,190,189,188,189,188,187,185,184,184,189,189,190,199,210,208,208,198,196,178,129,104,113,120,112,106,105,88,153,193,192,191,190,190,188,187,186,186,191,191,192,205,212,208,208,209,211,188,138,104,111,117,120,112,101,91,143,195,193,192,192,192,190,189,189,188,193,193,195,204,209,209,208,208,204,196,171,138,109,96,112,116,112,100,99,194,194,193,193,193,193,192,192,191,194,195,193,209,208,211,208,208,206,207,205,172,120,94,107,113,106,94,105,195,197,195,194,195,195,194,193,193,195,194,195,208,212,213,211,210,208,208,207,170,123,103,103,105,100,90,98,186,198,198,196,196,196,195,194,194,198,193,202,209,213,215,217,210,206,206,192,150,117,108,102,103,100,93,83,168,200,200,198,197,197,196,196,196,198,186,203,210,213,216,213,202,200,192,167,137,119,112,94,98,96,96,107,190,201,200,200,199,198,198,197,197,196,185,204,211,212,213,200,194,191,175,150,131,129,130,93,78,84,96,177,201,202,202,201,201,200,200,198,198,190,192,209,208,206,200,189,185,184,169,149,141,135,134,82,66,91,168,204,204,203,203,202,201,201,200,200,199,183,198,208,204,199,192,184,181,176,166,156,144,123,104,134,160,192,206,208,206,204,204,204,202,202,202,201,200,182,200,205,195,190,183,185,184,170,159,150,126,100,131,205,207,207,208,208,207,206,205,205,205,204,203,202,201,188,198,198,191,187,175,179,178,162,150,134,109,94,186,209,210,208,207,207,208,207,207,206,205,205,204,203,202,191,196,190,187,180,168,169,163,152,135,113,97,137,208,210,210,209,209,208,209,208,207,208,207,207,206,204,203,191,193,193,188,175,166,160,152,133,113,96,99,193,210,209,210,210,210,209,209,209,208,208,208,207,207,206,205
8,199,198,199,200,199,199,200,199,199,197,199,176,181,199,195,194,195,194,193,191,190,190,189,188,187,186,184,183,199,199,200,200,200,200,201,200,200,200,204,157,149,204,196,197,197,196,193,192,191,191,190,189,187,187,186,183,200,201,201,202,201,201,202,204,200,207,200,135,146,205,196,199,199,198,195,194,193,193,191,191,189,188,186,185,201,202,202,205,203,203,204,204,200,212,193,120,163,207,198,199,199,197,197,196,195,193,193,192,192,189,187,186,202,203,204,205,206,205,204,205,202,220,192,126,176,207,200,200,200,198,198,197,195,195,194,193,192,190,189,188,203,205,205,206,207,206,205,206,204,225,176,124,184,206,200,204,201,198,198,197,196,196,195,195,192,191,190,190,205,206,206,205,206,207,207,206,207,221,168,129,190,208,200,168,192,208,201,198,197,197,196,196,194,193,192,189,206,207,208,207,207,207,208,206,211,222,180,160,189,210,210,165,147,178,190,203,197,199,197,196,195,194,193,189,206,207,207,208,208,209,209,205,215,216,191,176,194,203,212,202,164,144,135,157,205,193,202,198,195,193,193,191,207,208,208,209,209,209,211,207,215,212,201,184,211,204,194,215,195,193,160,107,146,145,143,196,198,195,194,192,208,208,209,210,210,211,212,208,226,201,191,201,213,200,166,183,198,184,165,114,86,103,89,144,206,195,196,194,209,210,211,211,212,213,212,215,213,186,193,187,202,185,156,116,189,196,168,124,87,94,94,114,204,197,196,194,210,211,212,213,213,214,211,227,203,172,169,173,199,166,140,83,152,217,173,129,90,109,92,136,207,196,196,196,211,212,213,213,214,212,219,235,212,185,147,151,188,150,117,97,154,224,179,134,89,90,96,190,203,197,197,197,212,212,213,215,215,212,234,232,208,182,158,149,193,183,180,206,194,198,172,137,95,74,168,207,198,198,198,196,212,214,214,215,215,216,240,221,203,186,173,147,164,224,219,200,200,166,159,143,93,145,213,202,201,201,199,198,213,215,215,215,215,225,238,215,206,184,154,154,204,224,202,180,203,152,146,139,91,191,209,204,202,201,200,199,213,215,216,216,214,232,236,214,208,177,157,199,229,213,196,173,188,150,126,113,105,210,206,205,205,201,200,200,215,216,217,218,217,234,234,219,207,174,190,217,222,204,189,165,168,147,114,87,151,219,205,206,205,202,202,201,217,217,218,215,214,239,230,218,200,179,190,211,202,191,174,157,158,127,99,85,196,213,208,207,206,205,203,201,217,215,228,166,110,197,224,202,183,176,183,193,192,178,162,154,137,109,79,123,219,208,209,207,207,205,203,201,215,222,200,109,97,99,164,194,178,177,176,187,190,167,151,132,108,93,81,190,214,210,210,207,207,206,204,202,216,226,137,95,103,98,95,146,182,186,171,184,179,149,130,109,100,74,151,221,210,212,209,207,207,206,205,203,229,176,100,101,96,96,95,69,100,122,137,171,159,119,105,100,76,127,219,212,212,212,210,208,208,206,205,203,203,111,98,98,94,90,100,75,63,76,77,97,108,96,87,72,139,217,214,212,212,212,210,210,207,206,205,203,126,97,99,96,90,88,97,81,54,76,73,64,62,69,58,157,232,211,212,211,211,211,210,208,206,205,204,203,96,92,90,92,89,83,96,75,48,70,69,63,62,58,54,102,184,218,212,213,212,212,210,207,207,205,203,201,101,89,72,116,103,74,94,60,50,65,64,58,58,59,60,40,125,226,212,213,213,212,210,209,207,207,205,202
24,132,135,138,138,140,140,142,142,142,142,142,142,141,141,141,139,138,137,136,136,135,132,131,131,129,127,126,126,134,137,140,139,141,142,143,144,144,143,143,143,144,142,141,141,140,139,140,140,136,135,134,134,133,130,130,128,135,138,140,142,143,144,145,146,148,146,146,147,147,146,144,143,142,143,141,139,139,137,136,136,135,133,131,130,137,138,141,143,145,146,146,148,148,147,147,148,148,148,146,145,145,143,141,142,140,140,139,138,136,134,133,133,138,139,142,144,144,143,148,150,150,149,149,149,149,149,147,145,145,143,143,143,141,141,140,139,138,136,135,134,140,141,145,142,159,127,99,156,149,151,150,150,150,149,148,147,147,146,144,144,144,143,142,140,140,139,137,135,141,143,147,143,169,103,80,159,149,151,151,152,151,150,149,148,148,147,145,145,145,144,143,142,140,139,138,137,141,144,146,148,165,77,96,160,150,152,153,153,155,151,149,149,148,147,147,146,146,145,144,143,142,141,140,139,144,146,147,154,162,76,108,162,152,154,153,151,147,155,153,150,150,150,148,149,147,146,144,143,142,142,141,140,146,147,148,158,161,73,113,170,154,154,161,159,122,90,152,155,150,151,149,150,151,149,151,148,143,142,143,141,147,149,149,161,146,94,118,132,159,116,116,161,141,87,68,153,154,152,152,150,139,124,115,139,149,144,144,143,147,152,150,165,158,164,156,124,177,122,72,148,154,101,29,94,162,152,148,127,84,66,49,85,155,147,146,143,148,153,152,164,163,187,158,149,177,139,67,141,148,89,30,53,155,151,142,96,52,54,84,118,150,147,146,144,150,154,154,165,157,195,164,162,184,133,49,97,107,60,10,24,129,152,122,70,49,130,155,152,148,148,147,147,152,157,154,170,189,192,154,165,193,119,56,0,56,95,65,77,126,126,85,52,114,164,151,152,151,150,149,147,152,157,156,176,183,169,131,116,154,88,38,34,136,156,140,128,124,91,51,81,161,154,157,155,154,152,150,148,153,155,162,173,145,149,120,74,69,73,125,178,173,151,134,112,101,81,52,144,160,156,158,156,156,153,151,149,155,154,167,190,158,142,126,106,66,178,197,179,168,148,117,96,81,66,100,167,157,159,156,156,156,153,152,151,156,153,175,197,170,144,124,136,185,204,182,176,162,133,103,78,75,67,153,165,160,159,158,157,156,154,152,153,157,154,186,201,175,160,161,191,206,195,185,169,147,116,82,77,56,99,172,162,163,160,159,158,158,156,155,154,157,155,191,202,181,170,188,205,203,190,181,155,126,93,77,66,66,159,166,164,164,162,160,159,158,159,157,155,160,156,191,210,186,172,193,201,186,164,156,133,101,82,68,61,145,172,166,166,165,164,162,161,159,159,158,155,159,156,185,213,190,169,181,185,174,146,131,110,84,71,66,145,175,166,168,166,165,164,163,163,160,159,158,157,160,160,175,193,174,168,185,188,174,147,129,99,71,46,134,179,170,171,169,167,167,166,165,163,161,162,158,158,160,162,167,175,167,177,183,174,169,139,115,87,40,75,178,171,173,171,171,168,168,167,165,164,163,163,159,158,161,163,166,182,193,182,176,162,165,134,105,71,30,129,181,173,174,172,172,170,168,168,166,166,164,161,161,160,161,163,165,196,194,166,174,162,149,126,102,57,43,162,178,175,174,175,174,171,169,169,167,166,165,164,163,159,158,161,163,204,192,154,181,155,137,126,95,61,46,164,177,173,173,174,172,171,168,167,167,166,165,164,162,160
21,178,182,183,185,187,189,190,193,196,196,196,196,194,200,197,197,199,199,197,197,197,197,199,198,196,195,195,193,180,183,185,187,189,191,193,195,196,198,196,203,212,180,198,201,201,200,199,199,199,199,200,200,199,197,197,196,181,184,187,189,191,193,196,196,197,200,197,215,240,173,174,207,202,202,203,202,202,203,201,201,202,201,199,197,183,186,188,190,193,195,197,199,200,203,203,201,240,204,149,201,206,204,205,204,204,204,202,205,196,192,202,199,184,188,190,192,194,196,199,201,202,203,205,201,223,232,176,180,210,205,206,205,206,206,203,224,185,151,206,201,185,189,192,194,195,197,200,203,204,204,204,204,209,247,212,166,203,210,208,208,208,205,210,233,173,155,209,201,187,191,193,195,197,200,202,205,205,205,206,208,205,243,229,168,184,213,209,208,209,204,225,227,158,177,210,203,189,191,195,196,199,202,202,204,206,207,208,209,204,231,240,183,168,214,210,210,210,211,238,212,155,198,210,207,191,193,196,198,201,203,204,206,207,208,209,210,207,221,236,203,160,210,213,212,209,222,230,189,153,211,208,208,191,195,197,200,202,204,206,208,209,210,212,209,220,248,228,209,145,174,220,210,214,236,221,160,173,217,208,209,193,196,198,202,203,205,207,208,209,211,211,216,226,244,231,206,170,142,202,217,224,237,211,150,204,215,211,210,194,197,199,202,205,208,209,209,210,213,214,251,221,213,249,222,214,203,167,194,216,221,178,162,221,212,213,211,195,198,201,203,207,208,209,210,213,213,223,234,235,217,202,209,240,225,164,140,181,183,145,191,221,214,215,213,196,199,202,204,207,209,210,212,214,211,227,226,200,167,121,131,215,224,179,136,147,151,142,214,217,215,216,215,197,201,202,205,209,210,212,214,216,212,231,222,165,164,148,129,167,241,204,152,129,131,154,223,217,217,215,215,198,201,203,207,209,211,213,215,217,214,235,230,215,194,157,158,153,235,227,169,129,118,171,227,218,219,218,217,199,202,205,208,209,212,214,216,218,215,246,247,206,178,159,177,173,236,244,193,144,114,176,229,218,220,220,220,201,204,207,209,211,213,214,216,219,217,249,230,186,174,179,193,203,253,243,205,162,120,171,230,218,220,220,220,201,203,206,209,212,214,216,217,219,219,247,235,206,199,199,201,229,255,236,203,166,122,171,231,219,221,220,220,199,202,206,209,212,214,215,216,219,216,248,246,217,202,208,215,242,255,234,196,172,124,169,232,219,221,220,220,201,205,207,209,213,215,215,217,220,216,245,252,228,204,213,225,252,255,238,199,171,127,172,232,221,222,221,221,203,206,209,211,213,215,216,219,222,217,241,255,231,215,213,235,255,247,232,195,168,125,177,233,222,223,223,222,203,207,209,211,213,215,218,220,223,221,237,255,235,232,223,238,255,244,224,196,163,124,172,236,224,225,224,224,204,207,209,213,215,217,220,222,224,223,230,255,243,242,237,233,251,233,216,194,156,121,169,237,225,227,225,225,205,208,210,213,215,218,221,222,224,224,223,245,250,246,239,227,236,218,204,190,151,117,175,237,226,226,230,228,200,204,207,210,215,218,220,222,224,226,224,238,254,245,227,210,219,210,194,194,147,109,201,242,233,236,217,164,153,154,156,160,162,163,167,168,168,168,170,188,253,236,210,186,196,210,192,190,137,109,186,196,194,198,145,121,128,129,130,129,128,130,132,132,129,133,120,107,235,219,192,178,190,212,181,181,124,95,112,127,134,136,115,116
2,119,130,136,138,142,147,151,156,159,161,163,165,169,173,174,173,178,178,178,179,181,182,183,182,183,183,184,184,121,131,138,140,145,149,152,157,160,162,167,184,197,195,182,178,179,155,137,172,174,173,182,182,182,183,183,182,122,131,138,142,147,152,155,158,172,186,192,181,159,141,113,110,124,104,81,112,120,112,166,184,182,182,182,182,124,133,139,143,149,154,158,175,212,201,155,119,101,96,82,78,81,78,80,87,82,90,164,184,182,182,182,182,126,135,141,144,151,156,179,215,194,141,87,69,71,71,69,71,68,68,87,102,118,159,182,183,182,181,181,181,128,137,143,147,154,163,215,202,128,86,67,56,67,61,60,65,76,108,159,178,183,185,185,184,184,184,183,182,131,140,144,150,156,177,227,171,94,68,62,64,70,60,69,75,151,185,188,188,188,188,188,187,186,183,185,184,134,142,147,153,158,189,224,152,88,64,57,65,63,65,70,106,191,194,192,193,192,193,193,190,191,168,181,188,137,145,149,156,161,206,215,130,74,59,59,57,54,63,71,156,199,198,197,196,197,198,194,197,191,144,182,192,140,148,152,158,165,223,207,130,88,74,70,60,60,65,104,197,201,201,201,201,201,200,199,204,166,129,193,197,144,151,155,160,177,238,205,139,98,82,70,65,75,73,142,207,204,205,205,204,204,201,200,192,138,141,203,201,147,154,158,163,200,245,201,139,96,81,66,66,74,73,169,210,208,209,209,208,208,195,188,173,114,148,208,205,151,156,160,167,210,244,197,135,94,79,65,65,68,75,173,213,211,212,212,212,206,186,186,153,100,142,211,208,153,158,162,169,211,244,193,131,94,76,65,62,71,82,134,197,203,211,216,214,195,193,185,140,98,168,214,212,154,160,165,170,208,243,193,139,101,79,66,65,82,99,101,125,144,153,179,184,189,193,178,128,136,211,215,215,157,162,168,173,212,242,194,143,105,83,67,71,97,109,111,128,146,149,141,164,189,183,149,122,200,220,218,218,160,164,170,176,221,241,194,148,111,86,67,79,103,106,115,135,154,162,159,153,173,160,117,174,223,223,222,220,163,166,172,179,226,237,194,152,120,91,71,84,104,110,133,151,160,154,149,138,136,120,143,222,225,225,224,223,165,169,176,181,226,231,193,157,127,95,76,88,109,125,151,157,153,141,127,117,105,106,204,230,227,227,227,226,168,172,178,185,226,224,190,162,135,99,82,91,112,131,146,150,140,128,113,100,99,174,231,229,229,229,229,228,170,173,181,186,218,215,188,169,143,104,93,95,111,131,137,141,132,117,103,118,192,232,233,233,231,232,232,231,173,176,184,187,212,210,192,178,147,110,101,95,114,128,132,133,123,105,129,214,237,235,235,235,234,234,234,234,175,179,186,190,214,211,197,178,143,115,107,98,119,123,125,121,107,118,211,239,236,236,236,236,236,236,235,236,178,181,189,197,223,214,195,171,141,121,111,99,113,115,109,103,120,203,239,238,238,238,237,237,238,237,237,237,180,183,190,203,232,217,201,172,141,121,109,99,106,108,94,141,216,240,240,240,240,240,239,239,239,239,239,240,182,185,192,209,233,217,206,172,136,115,105,99,103,94,138,227,242,240,241,242,242,242,241,241,242,242,235,214,183,187,194,212,224,210,194,160,121,105,99,99,97,119,216,240,243,242,243,243,242,243,242,241,224,181,128,89,185,189,196,210,212,203,192,159,116,104,104,105,94,169,236,242,244,244,244,244,244,244,224,166,110,73,59,55
22,86,89,94,109,123,132,135,138,145,151,155,158,162,164,167,167,169,171,171,169,169,168,168,166,164,164,162,161,86,89,95,111,124,133,136,140,147,151,156,163,163,165,169,169,172,165,167,173,170,171,169,170,168,166,164,164,87,89,97,113,126,134,138,142,148,162,166,135,167,168,171,170,186,145,119,178,171,171,173,156,165,170,166,165,88,90,98,115,127,137,140,146,146,179,183,102,162,172,172,173,196,144,104,179,174,176,180,115,129,178,168,167,88,90,99,116,128,137,142,147,148,177,192,108,152,177,172,177,192,134,114,185,173,186,178,106,134,179,170,169,88,91,100,118,130,138,143,148,152,170,198,118,139,181,173,180,186,128,128,186,176,189,161,100,161,177,172,170,88,90,101,118,130,140,144,150,154,167,205,144,125,181,176,177,168,115,137,186,189,196,139,110,182,174,174,172,88,91,102,119,131,141,145,150,156,164,203,153,115,176,180,180,170,105,144,188,194,183,120,141,185,175,176,174,89,92,103,119,132,143,146,151,159,163,197,162,106,162,184,179,174,107,156,198,194,150,102,169,182,178,177,175,88,91,104,122,133,144,147,152,161,163,191,188,125,143,189,168,155,92,179,211,190,130,111,187,180,179,178,177,89,91,104,122,135,146,150,154,161,166,180,195,130,117,178,146,143,116,196,198,176,106,147,191,182,180,179,178,88,92,105,123,137,146,149,155,163,170,174,191,123,85,137,151,170,193,200,180,139,97,181,187,183,183,181,179,88,92,106,123,138,146,150,156,165,171,170,189,143,110,157,162,171,187,184,168,101,136,197,184,184,184,183,180,89,92,108,125,138,148,151,158,163,183,172,137,143,121,146,157,177,171,180,144,91,176,194,187,186,185,185,183,88,92,108,125,139,149,152,159,164,197,165,158,142,150,119,102,148,161,152,108,94,185,192,189,188,187,185,184,87,92,108,125,141,149,152,160,166,203,181,169,170,159,121,89,82,122,120,93,100,196,190,190,190,189,187,185,87,92,109,127,141,150,154,159,172,209,188,146,127,141,145,132,100,75,78,80,101,198,191,191,191,191,187,185,88,93,110,127,142,151,154,162,172,213,196,134,80,89,145,149,130,102,87,72,79,191,197,192,192,190,189,188,87,92,110,127,142,150,153,162,168,211,205,156,142,77,184,169,142,121,104,62,64,186,198,193,191,191,190,189,85,89,109,127,141,150,153,161,166,207,213,167,146,118,204,188,153,126,107,59,75,196,195,192,191,191,191,191,84,89,108,127,143,150,153,163,165,203,215,168,147,176,196,170,153,116,98,54,99,207,192,194,192,191,191,190,83,88,108,127,143,151,153,162,166,193,211,188,155,196,195,152,158,132,92,50,118,207,192,195,193,191,191,189,77,82,104,125,142,150,154,163,171,186,204,191,156,188,188,157,148,135,88,46,155,210,197,198,195,193,193,192,104,107,115,125,135,143,147,152,161,157,194,193,158,155,171,142,127,109,67,59,170,183,178,178,177,177,176,176,112,112,108,102,107,109,108,109,115,79,107,192,138,114,128,116,96,78,61,77,105,101,99,99,99,98,101,99,110,110,111,111,112,111,111,113,112,72,40,104,118,114,122,130,109,83,54,77,110,102,102,102,102,102,83,58,112,112,112,112,112,112,112,117,93,53,58,42,81,121,125,129,101,61,19,56,113,103,103,105,86,62,41,34,112,112,112,112,112,112,114,112,66,60,58,55,45,63,87,76,43,20,10,75,113,102,105,87,49,44,35,26
0,202,201,201,202,203,202,202,203,202,203,205,205,202,203,203,203,204,202,203,204,202,202,202,204,203,201,201,201,202,202,203,202,203,204,204,204,204,205,205,205,206,204,202,203,203,201,204,205,202,204,204,204,204,203,203,202,202,204,204,203,204,205,205,203,206,207,204,205,208,206,204,204,205,204,204,204,204,204,204,204,204,203,202,202,205,205,205,205,206,206,204,204,199,192,205,203,202,206,205,200,201,209,208,207,208,204,203,205,205,204,204,203,206,204,205,206,206,206,203,213,198,144,136,179,176,162,185,192,175,163,197,197,196,208,208,204,205,206,204,204,205,205,205,207,206,207,206,209,204,140,78,149,182,127,115,184,169,112,113,162,137,135,171,209,205,205,204,205,206,206,206,206,203,206,201,179,198,154,102,126,170,120,92,162,148,104,92,155,133,92,101,159,212,204,205,205,207,207,207,207,203,201,192,161,173,182,128,96,151,120,84,149,143,92,98,160,129,88,111,129,166,216,203,206,207,207,208,208,205,201,191,167,142,160,131,80,138,117,71,140,159,96,96,167,142,93,122,157,114,185,212,204,208,208,208,208,207,201,188,164,135,123,107,92,134,105,63,149,155,86,111,175,159,139,134,139,114,123,218,204,208,209,209,209,206,200,192,181,157,120,107,104,113,97,76,132,130,119,170,171,162,151,129,110,98,119,215,205,209,210,210,211,207,203,197,189,177,146,110,101,95,111,120,122,151,180,184,177,164,141,127,113,88,139,218,205,210,210,210,212,208,205,202,192,186,173,133,103,104,117,122,153,187,190,189,182,166,136,119,112,85,163,220,207,210,210,211,212,208,204,209,199,195,188,159,129,129,119,135,176,189,196,200,185,160,134,116,107,91,197,215,208,210,212,211,212,209,195,212,208,204,198,180,160,155,137,141,175,185,198,204,185,154,129,116,95,127,219,210,210,211,212,212,212,213,189,204,214,212,203,190,177,169,159,150,170,189,200,195,179,145,123,117,93,179,218,211,210,212,212,212,212,218,191,192,214,215,207,197,185,176,168,162,161,181,198,187,171,138,121,108,108,212,212,211,211,212,212,212,212,216,203,176,207,215,214,203,193,184,176,162,156,167,183,176,154,131,120,93,137,223,210,211,212,213,212,212,212,213,217,177,191,215,216,202,188,184,175,162,156,162,172,164,138,122,115,88,188,217,211,213,212,212,212,213,214,212,218,196,178,216,213,192,182,184,171,166,156,148,156,154,127,117,90,133,219,213,211,214,213,213,213,214,215,213,216,206,188,212,213,196,191,195,177,169,153,139,141,146,126,103,101,202,216,213,214,215,214,213,213,215,216,214,216,210,192,215,218,204,196,204,182,166,152,136,130,137,125,90,168,221,214,215,216,216,216,213,214,215,216,214,217,211,184,212,217,209,199,199,179,163,150,138,127,134,116,97,204,217,216,217,216,216,216,213,213,214,214,214,217,211,180,211,216,210,198,191,177,161,150,141,125,130,108,113,214,211,218,217,216,216,216,213,212,212,212,214,217,209,192,210,216,209,199,188,177,164,148,141,125,124,100,129,227,212,216,216,217,217,217,213,213,212,214,214,216,203,202,211,207,206,195,187,175,163,148,140,123,119,97,144,227,212,215,215,216,216,217,214,214,213,214,215,215,201,199,207,204,205,188,180,173,164,148,135,117,114,94,162,218,211,215,215,215,215,215,215,214,213,214,216,216,198,195,205,208,205,186,171,167,162,148,132,112,109,93,183,216,213,215,215,216,216,216
17,211,214,217,219,221,224,223,224,226,226,226,227,226,225,224,224,224,222,221,221,219,219,217,214,212,210,208,205,212,216,219,223,225,224,226,227,228,229,229,229,229,229,228,227,228,225,224,225,222,220,219,217,215,213,210,207,216,221,223,225,228,228,229,229,231,232,233,233,233,232,231,230,229,228,229,228,226,224,221,220,218,216,213,211,218,223,225,227,230,231,231,232,233,234,235,236,236,237,236,230,236,234,227,232,228,228,225,223,220,219,216,214,222,226,228,230,231,233,235,235,236,237,238,239,238,239,234,246,248,199,188,239,230,230,228,227,223,221,219,217,223,228,230,232,234,237,238,238,237,239,240,239,239,241,234,255,255,168,154,242,233,233,231,230,227,225,222,220,227,230,232,235,236,238,240,241,242,242,242,242,242,243,241,242,255,210,163,244,235,236,234,232,230,228,226,224,230,232,237,238,239,240,242,245,245,245,245,247,246,246,245,245,255,255,179,241,239,237,236,234,233,231,230,227,231,236,239,241,242,244,245,246,247,247,247,248,250,247,246,255,255,255,185,227,246,240,239,237,236,235,232,230,235,238,240,244,246,247,248,249,249,251,252,251,250,250,243,255,255,255,189,211,253,243,242,239,239,237,236,233,237,240,243,247,248,248,249,251,252,251,250,251,255,255,235,236,255,255,197,198,255,244,245,242,240,239,238,235,238,242,245,248,251,250,253,253,253,255,255,252,255,255,255,208,238,255,214,189,255,247,246,246,243,241,241,238,241,244,247,250,253,253,255,255,253,255,255,255,233,255,255,255,255,211,176,181,255,249,249,247,246,243,241,239,243,246,249,252,254,255,255,255,255,255,255,255,213,232,210,255,255,236,151,159,255,253,252,249,247,247,244,242,245,248,252,253,255,255,255,255,255,255,204,230,255,163,134,168,255,255,180,134,246,255,252,252,249,248,247,245,246,249,253,255,255,255,255,255,255,255,225,210,198,166,165,135,255,255,224,126,218,255,253,254,251,250,248,246,249,252,254,255,255,255,255,255,255,255,255,226,196,195,206,183,255,255,253,147,208,255,254,255,254,250,249,249,252,253,254,255,255,255,255,255,255,255,237,205,210,230,235,248,255,255,255,168,204,255,255,255,255,255,255,248,251,254,255,255,255,255,255,255,255,255,255,231,227,252,246,255,255,255,249,175,201,255,255,255,247,204,193,161,252,254,255,255,255,255,255,255,255,255,255,245,227,255,255,255,255,255,231,168,208,255,255,253,159,137,134,128,253,255,255,255,255,255,255,255,255,255,255,255,235,255,255,255,255,255,222,159,202,255,255,199,132,141,136,134,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,215,146,207,255,210,132,119,105,96,80,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,213,138,197,201,131,118,108,85,82,65,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,199,142,135,132,131,120,99,72,68,71,249,253,255,255,255,255,255,255,255,255,255,255,255,255,246,255,251,254,193,135,114,127,123,127,115,76,56,60,165,168,173,176,172,173,177,182,180,209,255,255,255,237,232,240,253,243,178,125,86,107,108,105,129,102,58,50,140,145,147,142,143,142,141,141,139,166,255,255,240,222,225,236,250,219,143,115,94,69,98,86,114,123,74,47,154,157,157,152,157,160,159,157,165,108,255,255,233,221,235,231,223,183,110,40,73,63,73,77,91,121,94,53
21,154,156,158,160,160,160,161,162,162,163,162,161,164,164,164,164,163,163,163,164,163,162,161,160,159,158,157,157,157,159,162,163,164,164,164,165,165,166,161,147,159,167,167,167,166,166,166,167,166,165,164,163,161,161,160,159,161,163,165,166,167,168,168,168,169,171,164,128,144,170,170,171,170,170,169,169,168,168,167,166,165,165,164,163,165,166,168,169,170,171,172,172,173,174,169,124,131,171,174,172,169,172,173,172,171,171,170,169,168,168,166,165,169,170,172,173,174,174,175,176,176,178,172,125,121,170,176,164,146,159,176,176,175,174,173,172,172,171,170,168,172,173,175,177,178,179,179,180,180,181,180,138,120,168,178,160,125,133,175,180,178,177,176,176,175,174,173,171,175,177,179,180,181,182,182,183,183,184,189,159,123,162,181,159,122,120,172,183,182,181,180,179,178,177,175,174,178,180,182,183,184,184,185,186,186,186,194,169,124,153,183,162,126,117,168,187,185,184,183,182,181,180,178,177,181,182,184,185,186,187,188,188,188,188,195,177,134,147,184,169,139,122,166,188,188,187,186,185,184,183,181,180,184,185,186,187,188,189,190,190,190,189,182,166,142,142,183,169,142,123,164,190,190,189,188,187,186,185,184,182,186,188,188,189,190,191,192,192,193,194,176,144,124,131,179,169,149,126,165,193,193,191,190,189,189,188,187,185,188,189,190,191,192,193,194,194,196,204,191,147,107,119,171,169,158,134,164,195,195,193,193,192,191,190,189,188,189,191,193,194,195,196,196,196,197,203,196,154,120,134,148,146,145,132,146,189,197,196,195,194,193,192,191,190,192,193,195,196,196,198,199,197,189,178,180,155,116,118,123,129,128,131,131,171,198,198,197,196,195,194,193,192,194,195,197,199,199,200,201,199,180,144,148,157,106,78,97,110,117,151,142,151,193,200,200,199,197,196,195,194,196,197,199,200,201,202,202,201,186,146,124,157,124,77,82,95,132,177,161,138,177,200,201,200,199,198,197,196,197,199,200,201,202,203,204,199,187,160,119,142,129,81,93,134,151,176,164,127,147,196,202,201,200,199,199,198,198,200,201,202,203,204,205,201,179,158,114,98,91,72,104,166,175,166,141,110,119,186,203,202,201,200,200,199,199,201,202,203,205,205,204,196,170,149,114,84,73,87,135,183,186,160,122,98,115,185,205,204,202,201,200,200,200,202,203,205,207,207,204,198,180,149,129,107,90,123,175,195,185,156,117,95,130,196,207,206,204,203,202,201,201,203,204,206,207,208,206,203,184,160,143,130,116,157,198,200,184,151,112,96,156,206,208,207,206,205,203,203,203,204,206,207,208,209,208,206,192,168,149,162,165,194,211,205,181,138,102,104,179,210,209,208,207,206,205,204,204,205,206,208,209,210,209,205,196,170,161,173,187,211,219,206,169,123,94,122,197,211,210,209,208,207,206,205,204,206,207,208,209,210,208,198,193,179,170,167,183,205,211,192,149,111,94,148,208,213,211,210,209,208,208,207,204,205,207,208,209,210,208,196,189,182,174,165,175,189,188,163,125,98,106,179,213,214,213,212,210,209,209,208,203,205,206,208,208,209,211,201,185,178,173,168,163,166,165,137,103,92,141,204,215,214,213,212,211,209,205,191,204,205,207,208,209,210,212,207,186,175,170,167,154,151,150,121,91,103,179,213,215,214,213,212,211,205,189,149,205,206,208,208,210,211,212,210,189,171,161,158,147,142,140,113,86,119,198,215,215,215,214,212,209,185,153,119
4,165,168,171,174,177,179,181,184,185,187,187,189,191,191,190,191,191,190,188,189,189,188,188,187,187,186,186,185,166,169,173,175,178,180,182,185,187,188,188,191,193,192,189,187,192,192,192,191,191,189,189,188,188,187,186,186,168,171,174,177,180,181,184,186,188,189,188,183,188,203,186,153,158,195,194,193,192,191,190,189,190,189,187,187,169,172,175,178,181,184,186,188,188,203,194,164,154,214,194,150,114,188,195,195,195,193,192,191,192,191,189,189,170,174,178,180,183,186,187,188,187,221,215,173,131,192,197,150,101,143,164,175,195,195,194,193,193,192,191,190,171,175,179,182,183,185,197,209,192,173,212,189,139,168,199,149,83,101,144,125,164,197,195,195,194,193,192,191,172,176,180,183,186,189,218,223,194,133,188,188,134,142,185,136,78,104,146,120,105,190,198,196,195,194,193,192,173,176,181,184,186,190,215,206,184,126,170,172,124,112,153,121,76,125,157,121,88,182,199,197,195,195,195,193,174,178,182,184,186,189,214,191,184,130,155,162,119,89,127,110,88,168,164,112,87,184,200,197,196,197,195,194,175,179,182,185,188,190,216,185,174,155,141,167,147,97,113,97,98,168,143,89,86,192,201,197,197,198,196,195,177,180,183,187,189,192,225,210,176,136,108,172,161,157,145,138,142,165,151,105,90,197,203,200,199,198,197,196,177,181,185,187,189,197,227,206,170,126,95,110,116,165,154,167,183,194,182,128,105,199,203,202,200,200,199,198,178,182,186,187,189,203,225,188,148,120,98,87,85,117,150,165,177,184,170,128,102,190,203,202,201,199,200,199,178,182,186,189,189,210,224,189,151,116,94,88,97,104,125,141,146,154,158,134,94,165,206,203,201,200,200,200,179,182,186,189,189,215,224,191,151,119,102,96,104,125,124,133,155,164,171,148,103,132,207,204,202,201,201,201,179,183,187,190,191,221,222,186,144,114,104,98,103,135,138,171,195,198,198,164,117,98,193,206,204,203,202,201,180,184,188,191,193,222,219,185,146,120,107,105,108,135,159,202,217,211,211,176,126,84,162,210,206,206,203,203,181,184,188,192,194,220,212,185,151,132,118,111,113,139,197,217,219,203,194,163,120,82,156,210,207,206,204,203,181,183,187,191,193,217,208,186,156,134,120,114,124,176,223,224,209,191,165,138,101,92,186,209,206,206,204,203,180,182,187,190,192,215,213,188,150,127,118,125,147,211,228,218,193,167,140,110,84,135,206,207,206,205,204,203,181,182,187,190,192,211,218,191,159,151,133,136,169,222,221,203,176,148,120,91,92,189,208,207,206,206,205,203,181,184,187,190,193,205,215,198,172,164,143,127,182,220,206,184,156,131,102,77,139,210,209,208,207,206,205,203,181,184,187,191,194,204,219,201,176,166,145,126,188,208,185,159,132,108,84,88,191,211,209,207,207,206,205,203,181,184,187,192,191,208,226,209,181,159,135,126,183,188,161,136,109,90,70,141,210,209,208,208,208,207,205,203,182,185,188,192,190,224,225,201,172,144,116,130,170,155,122,105,88,72,99,196,210,209,208,208,208,207,205,203,182,185,189,189,203,232,220,200,175,139,124,142,152,119,95,89,78,86,178,210,209,209,208,208,208,208,206,205,169,170,173,175,218,225,217,202,173,146,138,140,134,104,94,94,78,137,189,191,192,192,192,192,192,193,192,191,122,120,117,148,222,212,200,187,158,144,150,125,112,96,91,86,80,111,119,119,118,117,118,118,119,121,122,121
3,162,164,166,168,169,171,172,172,172,172,172,171,171,171,172,169,169,167,165,164,162,160,158,154,152,151,149,146,163,165,167,170,171,171,173,173,173,174,173,172,171,171,170,173,171,168,166,165,162,161,159,156,153,151,150,147,163,166,168,170,171,172,173,174,173,173,173,173,171,176,149,127,174,168,167,166,164,162,159,157,155,153,151,149,164,166,168,171,171,173,174,175,174,175,174,174,173,179,147,86,165,171,167,166,165,163,160,157,155,153,151,150,166,167,170,173,174,175,175,174,175,176,175,174,173,179,147,79,151,176,168,167,165,164,161,158,156,155,153,152,166,168,172,173,175,176,177,177,177,178,178,176,174,178,142,72,147,178,169,169,166,165,163,160,158,157,154,152,168,171,174,175,177,179,179,180,180,181,181,180,178,183,160,83,139,180,170,170,168,166,164,162,161,158,156,155,171,173,175,178,179,181,182,182,182,182,181,181,179,177,147,79,127,185,172,172,171,168,166,164,163,160,158,157,172,175,177,180,181,182,184,184,183,184,184,181,186,164,122,78,116,183,175,173,172,170,169,166,164,162,160,158,173,176,180,182,183,185,186,186,187,187,187,184,190,198,169,109,142,133,165,178,172,172,170,168,165,163,162,160,174,177,181,183,186,187,187,189,189,188,190,184,140,137,171,126,161,99,119,189,173,173,171,170,167,165,163,161,175,180,183,185,186,186,189,190,191,189,183,187,143,97,120,130,138,124,68,133,183,174,174,172,169,167,164,162,177,180,184,185,187,187,189,190,191,190,135,124,173,133,92,133,137,135,95,73,154,182,173,173,170,168,166,163,179,181,185,187,188,189,190,192,194,187,151,112,137,159,98,119,124,122,118,71,137,187,175,174,171,170,167,165,179,183,186,188,188,190,192,194,194,153,164,143,108,148,111,62,57,130,126,66,153,187,177,175,173,171,168,166,180,184,187,189,190,192,192,198,179,121,118,144,83,109,103,52,46,128,132,72,164,186,178,175,174,172,169,167,181,183,187,189,191,193,193,199,177,130,80,119,61,84,119,79,79,138,131,73,168,186,180,177,175,174,171,168,182,184,188,190,192,193,195,194,159,121,84,94,82,72,123,82,124,143,115,71,176,187,181,178,177,175,171,169,182,185,189,191,194,195,196,192,173,144,99,79,82,95,145,137,147,127,77,94,194,183,183,181,178,175,172,169,183,186,189,193,193,195,198,195,180,156,114,100,89,150,190,171,135,113,60,143,196,183,184,182,179,177,173,170,184,187,189,193,194,196,198,194,177,159,126,105,100,169,172,151,130,103,71,182,190,186,184,183,180,178,174,171,183,187,190,193,195,196,198,195,167,152,131,116,112,168,165,145,126,81,101,202,188,187,185,183,181,179,175,172,182,187,190,194,195,197,199,201,172,155,143,132,118,157,159,135,107,62,155,201,189,188,188,185,183,179,176,174,183,186,191,194,195,197,200,203,187,159,154,136,114,134,137,113,71,88,203,193,191,189,188,186,183,181,177,175,183,187,192,195,196,197,199,202,197,173,155,137,119,116,119,98,54,158,203,192,193,190,188,186,183,181,178,176,184,188,192,195,197,199,199,202,199,182,151,140,135,121,114,77,83,202,195,194,193,191,188,186,184,182,180,176,183,186,191,194,196,200,201,202,189,180,162,158,142,124,105,60,119,209,193,196,195,194,190,186,185,182,181,178,182,187,191,194,197,200,201,200,179,185,173,158,138,114,90,54,148,208,194,194,193,192,189,187,184,181,180,177
10,89,98,107,121,140,148,154,158,160,162,163,164,165,165,165,166,168,166,166,165,164,162,162,160,158,157,154,153,90,99,108,123,141,149,155,158,161,162,163,165,166,167,168,168,168,167,166,166,164,166,162,160,160,158,156,154,92,100,109,124,142,150,157,159,161,164,165,167,168,168,170,170,170,169,167,167,167,157,162,163,161,159,158,155,93,101,111,125,143,152,158,161,164,166,167,168,170,170,171,172,172,172,171,169,175,128,129,170,161,161,159,157,95,102,111,128,145,153,159,163,165,167,169,171,172,172,173,173,173,174,173,171,178,130,114,171,164,163,160,159,96,103,113,129,146,154,161,165,166,168,171,172,173,174,176,176,176,176,175,173,179,128,110,171,166,165,164,162,97,105,114,130,148,155,162,166,167,169,173,174,175,176,178,179,178,177,177,177,184,133,111,174,169,168,166,164,98,106,115,132,149,156,163,167,168,170,174,176,177,178,179,179,179,179,178,180,168,132,112,176,171,171,168,166,99,107,116,134,150,158,163,168,170,172,176,178,179,179,181,181,182,183,184,187,116,110,110,177,173,172,171,168,100,107,116,135,151,158,165,169,171,174,178,179,179,182,182,182,183,179,170,167,110,88,115,180,174,173,171,169,100,108,117,136,151,160,166,170,172,175,178,180,181,183,185,188,189,178,153,110,100,76,121,186,176,175,173,172,101,109,118,137,151,161,167,171,174,176,179,182,183,184,182,165,176,173,134,87,81,87,104,185,177,177,174,172,103,110,119,138,152,161,167,172,173,177,181,183,186,191,177,138,114,95,79,84,101,89,85,180,179,178,176,173,105,111,120,139,152,162,168,172,175,178,182,185,177,170,188,163,111,56,58,79,149,108,82,175,182,179,177,174,105,112,121,140,152,163,169,173,176,178,182,188,172,137,146,176,132,73,65,79,160,134,84,169,185,179,178,176,104,112,121,140,152,163,169,173,176,180,183,188,184,170,131,161,138,91,58,94,162,142,82,154,190,180,179,177,105,113,121,141,153,163,170,175,176,181,184,187,158,166,128,125,140,98,65,131,162,139,80,139,193,180,180,179,106,113,123,142,155,163,170,176,177,181,184,192,163,129,122,99,148,139,98,160,152,117,78,147,192,181,181,178,105,113,124,143,154,164,170,176,178,182,185,189,173,137,117,115,142,151,107,158,142,101,76,163,191,182,182,179,106,113,124,143,154,164,171,176,178,183,185,189,193,162,126,113,115,144,138,155,132,98,72,172,192,183,183,181,106,114,124,144,155,164,171,176,178,182,185,187,194,175,148,126,124,181,180,148,124,94,78,183,190,185,183,181,106,114,125,144,155,164,171,176,179,183,187,188,180,172,157,143,134,175,171,138,116,86,87,193,189,187,185,183,106,114,125,144,154,164,172,177,179,183,186,191,176,171,162,152,137,168,163,128,106,71,105,200,188,188,186,184,105,111,124,144,154,164,172,177,179,183,186,189,187,169,164,150,132,149,146,116,97,62,142,199,187,187,185,183,104,111,123,142,152,162,171,175,177,181,184,186,191,178,160,144,129,131,138,117,90,76,181,192,188,185,183,181,103,110,122,141,152,162,170,175,177,181,185,187,190,190,166,144,141,133,140,124,81,106,198,187,186,184,183,180,103,109,121,140,150,162,169,175,177,181,184,187,190,188,174,160,155,140,138,116,77,131,199,187,186,183,182,180,101,107,121,139,149,160,168,173,175,179,183,185,188,181,184,169,157,139,123,107,73,137,198,185,185,184,181,180
3,153,154,154,154,155,154,154,156,154,154,153,152,151,151,151,150,149,148,145,143,142,140,139,138,136,135,134,131,154,154,156,156,156,156,156,157,155,154,155,153,152,152,151,150,143,146,146,144,143,140,139,139,137,135,134,132,156,156,157,157,157,157,157,157,157,156,155,154,153,152,150,163,107,128,149,145,145,142,141,139,137,136,136,134,159,158,158,159,158,158,158,158,158,157,157,156,154,153,157,157,87,129,151,146,144,144,143,141,139,138,137,136,159,160,161,162,160,160,160,160,160,159,158,158,157,154,173,131,84,146,152,148,146,145,144,143,142,139,137,136,163,163,163,164,163,163,162,162,161,161,159,159,157,165,172,100,108,155,152,152,150,149,146,145,143,141,139,138,164,164,165,166,165,165,165,165,164,162,162,162,158,184,155,86,132,160,155,154,152,151,148,146,145,143,141,140,165,166,167,168,167,167,167,166,166,164,164,162,175,176,125,85,151,161,158,157,154,152,150,149,147,145,143,142,168,170,171,170,170,170,169,169,168,167,167,165,182,156,94,112,154,151,156,157,157,155,152,150,149,148,147,144,170,172,173,173,173,172,173,172,171,170,169,167,177,162,128,137,154,150,154,148,144,153,155,152,152,151,150,147,172,173,174,175,174,173,174,173,173,172,171,170,180,184,166,141,139,139,143,155,139,109,149,156,148,146,152,149,174,174,175,176,175,176,175,175,174,174,173,172,196,174,153,152,142,123,117,105,125,114,103,125,131,109,145,153,177,177,176,177,177,178,178,176,176,176,173,183,200,176,155,140,127,111,86,88,70,117,118,96,106,102,149,154,179,179,179,179,179,179,179,178,178,177,180,204,189,144,101,90,119,110,96,86,73,75,102,86,79,142,157,155,180,181,181,181,180,181,180,180,179,179,200,204,153,104,69,58,130,158,114,92,80,76,61,73,108,162,157,156,182,182,183,182,182,182,182,182,179,191,213,181,116,81,63,56,86,174,172,153,106,74,77,80,128,164,159,157,182,183,184,183,185,184,184,184,174,204,208,162,110,84,60,52,50,98,167,185,122,72,88,86,149,164,159,158,185,186,185,186,186,185,186,186,173,197,193,163,111,72,56,51,53,52,79,123,79,88,96,97,162,165,161,160,186,186,186,187,186,186,187,187,177,189,200,172,121,81,57,55,60,69,72,72,71,97,97,106,167,165,162,160,187,188,188,189,188,188,188,188,177,186,207,174,134,95,67,61,71,80,90,100,94,96,96,118,171,166,163,162,188,189,190,190,190,190,189,189,178,183,213,182,140,104,82,63,76,91,108,116,107,92,87,132,173,167,166,165,189,190,191,191,190,191,190,191,179,178,216,185,145,117,97,68,77,104,119,118,109,90,102,163,171,168,167,166,190,189,191,192,193,193,193,193,181,172,209,182,152,121,101,76,79,105,113,109,100,95,155,178,172,171,168,166,191,191,193,193,193,192,193,193,183,171,207,186,156,123,98,82,82,100,106,102,92,114,176,176,173,171,170,168,192,193,193,194,195,194,194,195,188,170,200,185,155,122,100,91,85,97,102,97,95,152,180,176,174,173,171,169,193,193,194,194,195,195,195,196,189,179,199,177,150,123,107,98,87,93,97,97,139,180,179,177,175,173,171,170,193,194,194,194,194,194,195,195,191,178,203,177,153,129,112,100,93,93,99,135,182,181,180,178,176,174,172,170,194,195,195,195,195,196,196,196,189,176,196,170,150,129,107,97,97,95,117,179,185,182,181,180,178,176,172,171
19,158,161,165,168,172,174,176,178,179,180,180,180,181,181,181,181,181,180,179,179,178,177,176,175,180,175,166,193,161,164,168,172,174,177,180,182,183,183,184,184,184,184,184,184,183,182,182,182,181,181,179,178,181,165,165,195,165,168,172,176,178,181,184,186,187,188,188,190,188,180,182,187,187,186,186,186,185,184,183,182,183,183,189,196,168,172,175,179,182,185,188,189,190,192,193,199,190,156,153,184,191,190,189,189,188,188,186,185,184,188,183,172,172,176,179,183,187,189,192,193,194,196,197,208,190,144,125,171,194,194,193,192,192,191,190,188,187,186,177,169,177,180,184,187,191,194,196,197,199,200,202,212,193,149,116,154,196,197,196,195,195,194,193,192,190,189,185,185,180,183,187,191,195,198,199,201,202,204,205,215,197,155,114,138,195,201,200,199,198,198,196,195,193,192,189,191,183,186,190,195,198,201,203,205,206,208,209,216,196,152,110,128,192,202,202,201,201,200,199,198,197,195,193,195,186,190,194,198,201,204,206,208,210,211,212,216,195,161,139,151,178,181,187,192,191,191,194,196,198,198,197,198,188,192,197,200,203,207,209,208,208,209,209,211,203,193,189,186,171,156,166,176,169,164,166,169,181,189,193,200,191,194,199,202,206,210,204,193,194,201,204,208,206,204,200,187,168,152,160,172,167,162,160,155,170,174,171,192,193,196,201,205,210,217,204,188,189,192,193,195,193,189,184,172,155,134,137,152,157,158,156,150,157,159,144,175,195,198,203,207,213,219,200,186,182,178,181,184,181,178,177,171,156,129,149,168,170,167,161,158,162,154,111,147,197,200,205,209,214,203,173,161,165,172,181,184,180,179,177,174,161,140,178,214,214,210,206,204,202,159,91,107,198,202,206,211,216,191,167,160,161,166,169,169,173,172,169,166,149,131,181,220,222,221,220,218,202,129,80,77,199,203,207,213,213,188,175,170,166,160,149,151,159,154,146,144,129,127,195,223,223,220,212,197,161,98,77,75,201,204,209,214,218,208,189,169,158,161,161,161,160,154,147,141,130,135,200,214,194,169,141,112,90,77,75,76,202,205,210,215,224,226,203,168,150,155,161,161,161,158,150,143,134,127,152,140,101,81,75,67,66,69,71,73,202,206,210,216,226,229,208,172,153,145,140,141,146,145,137,130,121,104,82,66,60,54,55,56,63,66,66,69,204,208,211,218,225,226,214,180,156,138,128,131,139,138,131,122,108,84,64,59,59,55,51,50,57,60,59,63,204,208,212,220,228,230,223,190,156,135,139,146,146,141,131,122,101,65,54,60,58,54,52,51,51,53,54,58,204,208,211,220,230,231,225,193,154,133,138,144,142,132,121,113,96,59,46,54,57,54,48,47,50,52,53,55,204,208,210,218,228,226,212,180,152,139,138,142,137,124,115,111,87,57,47,48,53,55,49,41,44,49,55,57,203,208,210,217,225,220,202,173,152,144,139,135,121,108,109,101,63,48,48,45,47,54,53,42,39,42,50,52,204,207,209,215,221,215,193,166,151,149,139,119,97,84,82,74,45,38,44,43,44,49,54,47,38,39,40,39,204,207,208,214,216,206,178,156,155,162,137,101,81,55,35,44,46,37,39,42,43,44,49,50,41,36,36,35,186,189,200,213,212,198,175,159,165,162,131,94,74,45,19,28,45,44,39,41,40,39,42,46,44,34,34,33,139,146,183,213,210,197,179,171,173,158,126,94,70,49,21,20,39,47,43,40,37,35,38,41,43,35,31,33
5,123,124,124,125,125,127,127,127,128,131,130,132,132,132,131,135,132,131,131,131,131,130,131,131,129,128,126,129,127,127,128,129,130,131,131,131,131,131,133,133,133,134,139,114,134,134,133,133,132,131,131,132,132,129,135,98,131,131,132,133,132,133,135,135,135,135,135,139,137,139,157,63,122,140,136,135,133,135,135,132,132,137,112,31,133,134,136,137,137,137,138,139,139,139,139,135,135,163,136,62,135,141,138,138,146,103,126,136,134,128,44,21,138,139,140,140,141,141,141,142,143,140,162,102,113,179,92,98,151,140,139,138,124,66,125,139,144,91,19,32,142,143,144,145,145,146,145,145,146,139,176,107,115,162,71,135,147,146,130,125,76,93,145,141,139,58,30,52,146,147,147,148,149,149,149,148,149,144,177,115,120,131,79,154,149,130,122,85,81,147,146,145,136,48,44,49,149,150,150,151,152,152,153,153,153,151,171,111,110,96,104,160,123,112,98,72,145,150,148,147,149,76,48,50,152,153,154,154,155,155,155,156,155,153,181,125,86,73,141,119,88,88,66,132,159,150,151,150,152,93,45,45,155,157,157,157,158,158,158,158,157,158,185,137,84,84,129,83,76,56,123,163,154,154,153,151,156,115,39,27,158,158,159,159,160,160,160,160,160,161,176,128,84,84,87,83,64,98,172,158,158,158,154,154,157,140,38,22,160,160,162,162,162,162,163,163,164,162,168,142,83,69,68,83,64,140,163,154,166,160,157,158,160,149,104,100,161,163,164,165,165,165,165,164,166,164,169,160,103,63,60,67,79,150,104,102,138,166,164,160,158,162,102,137,163,164,166,167,167,167,166,167,168,167,168,169,121,71,64,62,76,86,90,118,119,130,152,164,165,164,100,171,166,167,168,168,169,168,169,170,170,170,172,182,149,95,65,67,63,76,81,100,137,135,131,142,145,139,148,125,169,170,170,170,172,172,172,172,171,171,175,189,167,115,71,63,73,67,57,87,109,111,128,134,113,105,129,98,170,171,171,172,173,173,173,173,174,175,174,193,178,123,76,57,70,57,98,168,158,143,122,119,149,139,89,104,172,172,173,174,174,174,174,176,177,176,175,197,182,129,83,56,54,83,188,174,178,170,138,154,141,96,134,162,173,174,175,176,176,176,176,177,178,176,175,200,181,132,90,57,36,91,161,184,169,127,139,133,80,125,181,168,175,175,176,177,178,178,177,177,178,177,176,203,178,130,90,53,45,67,70,147,121,126,136,84,90,177,173,171,176,177,178,178,178,179,179,178,180,176,184,203,172,130,90,52,50,73,76,78,99,126,96,98,172,176,175,174,177,178,178,179,179,180,180,180,182,172,185,201,169,129,91,57,54,76,82,94,100,95,92,175,179,175,176,174,178,178,180,180,181,182,181,181,183,173,187,197,165,127,90,59,60,84,89,95,83,79,167,183,177,179,177,176,179,180,181,182,183,183,183,184,181,173,193,190,161,124,87,59,59,85,92,90,70,149,189,177,180,179,179,178,179,181,182,182,183,183,184,188,175,179,203,185,156,117,84,62,58,86,95,73,101,193,182,182,183,181,180,179,181,183,183,184,184,184,185,187,169,200,201,178,150,116,82,64,66,91,88,62,155,190,184,185,184,184,181,179,182,184,184,184,185,185,188,176,180,206,190,174,155,114,78,66,71,89,67,110,193,184,185,185,183,184,182,181,183,184,184,185,186,187,185,169,192,190,184,170,138,95,73,64,74,77,92,184,189,188,187,185,184,183,182,181
6,174,174,174,174,174,174,174,174,174,173,173,172,171,171,171,171,170,170,169,168,166,166,166,165,164,164,162,161,175,176,175,175,175,176,175,175,175,174,173,173,172,173,173,171,171,171,170,169,168,167,167,166,166,164,164,162,177,177,178,177,177,177,177,177,176,175,175,175,175,174,173,172,172,172,171,170,169,168,168,167,166,165,165,163,178,179,179,179,178,178,178,177,177,178,177,176,175,174,174,173,174,172,171,171,170,169,169,167,166,165,165,163,179,180,180,179,180,179,179,179,178,178,178,177,178,176,176,176,175,173,172,172,171,170,170,168,167,167,166,165,179,181,182,181,182,182,181,181,180,179,178,178,179,176,177,177,176,175,173,173,173,171,171,170,168,167,166,166,180,182,183,184,184,183,182,182,182,180,179,178,179,178,178,178,177,176,175,175,175,173,173,173,171,168,166,166,182,184,184,184,184,184,183,183,183,185,185,184,181,181,181,182,180,178,176,174,172,169,162,159,167,168,169,167,183,185,185,184,185,184,185,184,179,170,166,171,171,162,154,150,144,153,154,154,146,148,130,142,179,156,158,169,185,186,187,187,186,187,179,166,158,144,132,127,129,151,143,132,123,132,151,153,143,142,136,136,162,128,155,173,185,187,191,188,179,169,148,144,151,149,148,130,86,116,136,134,108,123,125,122,114,99,101,108,123,147,171,170,189,186,177,165,155,149,144,140,144,151,145,105,75,64,78,80,81,96,104,117,121,137,149,159,170,175,172,170,175,165,156,151,145,141,139,132,137,143,134,101,71,63,68,94,123,153,175,179,182,185,183,180,178,174,173,172,167,163,156,148,143,143,142,138,137,140,142,127,83,54,121,190,187,189,184,182,180,179,179,178,177,176,174,172,175,164,155,148,145,144,143,138,138,140,143,124,84,61,80,187,185,184,183,183,181,182,182,179,177,177,176,175,165,158,155,150,144,144,142,144,140,141,139,129,86,68,55,150,194,185,185,184,183,182,181,180,178,177,177,175,158,155,154,147,146,144,144,145,146,148,147,137,95,68,56,107,196,185,186,185,184,183,182,181,179,178,177,176,166,148,146,149,154,150,145,139,135,136,138,122,90,68,62,66,187,190,186,185,184,184,183,182,180,178,178,177,160,142,144,152,155,155,143,139,133,130,124,106,89,75,58,96,192,188,187,186,186,185,184,183,182,180,178,178,140,133,145,150,148,146,139,131,124,130,121,94,89,82,58,169,196,187,187,187,188,187,185,183,182,182,179,178,105,119,132,144,138,130,122,114,107,106,94,86,85,88,61,174,193,188,188,188,187,186,185,184,182,180,179,177,55,77,99,124,121,110,102,96,90,72,59,73,92,92,53,160,196,187,189,187,186,186,184,183,181,180,179,177,51,34,39,63,84,86,74,70,71,64,63,84,89,77,70,178,192,189,189,188,187,186,184,184,182,180,179,178,55,43,23,27,28,45,93,118,99,74,72,91,103,149,178,192,190,190,188,189,188,187,185,184,184,182,179,178,50,49,25,30,17,123,208,201,193,164,147,158,187,199,195,191,191,190,189,188,188,187,186,184,184,182,180,178,48,50,28,19,46,197,198,195,197,201,202,200,196,192,192,192,191,190,189,189,187,186,186,185,185,188,190,188,53,46,25,17,139,207,194,196,197,195,194,194,194,194,194,193,191,190,190,192,193,194,190,185,179,152,128,130,54,35,17,77,209,194,197,196,196,196,195,195,194,193,194,192,192,192,190,169,140,127,113,95,77,53,39,38
1,149,152,157,159,162,163,164,166,167,167,168,167,169,172,168,168,169,169,169,170,170,169,170,169,168,169,168,166,153,157,160,163,166,167,168,170,170,171,171,176,163,157,175,170,172,172,172,171,173,173,173,172,172,171,169,170,156,161,164,167,169,170,171,172,173,175,168,188,172,99,181,182,177,177,176,175,176,177,177,177,176,174,173,173,160,163,167,170,172,174,175,176,174,196,174,139,185,87,147,156,182,181,180,180,180,180,181,180,179,178,178,177,163,167,169,174,176,177,178,182,176,205,176,114,186,89,99,108,147,192,181,182,183,183,184,182,181,182,181,179,165,169,173,177,180,180,181,184,181,206,183,116,190,118,104,132,104,197,183,185,186,186,187,184,183,183,183,182,168,172,178,179,181,185,185,189,177,195,206,115,183,149,95,146,90,177,191,189,189,188,189,189,188,187,185,185,172,176,179,182,183,187,186,198,189,125,213,127,155,162,100,162,119,148,201,190,192,193,192,192,191,190,189,187,176,179,182,186,188,191,188,206,193,98,206,139,131,171,118,176,162,118,197,193,194,195,193,193,193,192,191,189,179,182,185,187,190,194,190,205,196,104,200,151,132,193,141,146,188,112,176,204,198,198,196,195,195,194,193,191,181,184,186,188,192,195,192,209,210,115,200,190,129,196,154,122,204,141,142,210,197,200,200,200,198,197,196,193,183,186,189,191,195,197,195,212,211,113,185,205,116,157,159,106,209,171,120,203,203,203,202,201,201,200,198,198,185,188,191,195,198,200,197,211,212,137,141,198,86,132,174,92,184,186,116,183,211,204,204,204,203,203,201,199,188,191,193,198,199,201,200,211,221,158,99,191,151,158,164,171,193,149,118,153,218,204,206,206,204,204,202,201,189,192,195,199,200,203,203,212,223,142,109,170,211,165,148,211,187,133,133,107,210,209,208,207,206,205,204,202,189,192,196,199,201,206,205,213,217,173,187,136,177,169,172,220,161,131,142,97,172,219,210,209,208,208,206,206,190,194,197,200,203,207,206,214,220,197,187,134,138,187,224,214,195,161,119,98,128,222,212,212,210,209,208,207,190,196,199,202,204,208,206,221,222,174,165,138,164,217,219,173,187,211,178,120,93,216,215,213,212,211,211,210,191,196,200,205,206,208,206,224,232,168,144,160,189,168,150,108,168,235,218,178,108,188,222,214,215,215,213,211,192,196,200,203,207,207,207,220,246,187,140,143,128,125,118,179,200,211,213,173,125,136,228,215,217,215,214,212,192,196,199,200,206,207,207,212,244,213,139,151,158,181,218,238,229,210,195,158,99,132,228,214,216,216,215,213,192,196,199,201,206,208,207,211,238,236,160,158,174,184,236,237,233,210,181,151,86,140,229,213,216,216,215,213,193,197,200,204,206,207,209,209,234,251,189,164,187,172,230,248,239,210,171,141,82,156,229,215,218,217,215,214,194,197,199,203,205,207,209,209,224,248,212,175,210,164,215,251,238,203,160,127,81,173,229,217,220,217,215,216,194,197,199,202,205,207,210,211,213,236,226,193,218,172,190,249,225,188,154,118,78,181,229,217,220,218,216,214,194,201,204,207,211,214,215,219,217,227,232,215,207,185,159,236,220,184,144,110,77,197,231,221,219,218,219,218,115,120,124,131,135,139,142,148,143,182,242,225,197,179,146,196,211,169,129,102,90,196,207,211,222,226,220,216,92,91,91,93,93,94,96,98,87,127,234,207,185,168,141,164,190,153,116,99,97,110,153,215,210,207,227,214
8,153,157,160,164,166,169,171,173,174,176,178,179,179,180,180,180,180,179,179,178,177,177,176,174,174,173,172,171,154,159,162,165,167,170,172,175,177,179,180,180,181,182,182,182,181,181,181,181,180,179,178,177,176,175,173,172,155,160,164,166,170,171,174,177,178,181,182,183,183,184,184,184,183,183,183,183,182,181,180,179,178,177,176,176,156,161,165,169,172,174,176,178,180,183,184,185,186,186,186,186,185,185,185,185,185,183,182,181,180,179,179,177,159,163,166,170,173,175,183,169,164,186,186,186,187,187,187,187,187,187,187,187,186,185,184,183,182,181,180,179,160,165,169,172,175,177,192,162,128,181,188,189,189,189,189,189,189,189,189,188,187,186,186,186,185,184,182,181,162,167,171,173,176,177,193,168,113,168,190,190,191,191,191,191,191,191,190,189,189,187,187,187,186,185,183,182,163,166,170,174,177,179,191,182,112,154,192,192,193,193,192,193,193,192,193,191,191,191,189,188,187,186,186,186,164,167,172,176,179,181,186,183,118,138,194,194,194,194,194,194,194,192,193,193,193,192,191,191,189,188,187,186,166,169,173,177,181,184,186,196,147,124,190,196,194,180,174,193,193,168,161,192,193,193,192,192,192,190,188,186,166,170,174,178,181,184,186,201,162,114,175,197,210,192,155,166,205,169,127,154,162,163,188,193,193,192,190,190,167,171,174,178,181,186,187,198,172,129,150,198,224,218,172,129,195,179,165,130,126,123,144,194,194,193,192,192,169,172,176,180,183,188,189,197,196,156,144,189,218,227,190,125,160,179,176,162,144,138,120,172,193,193,193,192,170,174,178,181,185,190,192,194,203,161,153,181,192,215,194,131,129,168,147,181,186,186,167,126,172,196,193,192,172,176,180,183,187,190,193,194,204,187,173,194,191,192,194,137,106,146,108,154,183,192,177,119,149,199,195,195,173,177,181,185,188,191,194,195,212,213,170,168,180,168,193,155,104,118,100,117,164,193,179,121,142,200,197,196,174,178,182,186,189,192,194,195,211,199,148,146,153,142,177,192,129,98,92,111,179,208,188,123,138,201,197,196,175,179,184,187,190,192,196,197,210,208,168,143,135,132,148,163,128,106,90,120,187,213,189,124,137,201,199,199,174,179,184,188,191,193,196,198,214,222,187,149,134,132,127,158,163,128,114,162,193,211,180,119,125,201,200,200,175,180,185,189,192,193,197,198,219,222,192,160,131,120,129,181,192,175,181,197,189,186,153,108,112,198,201,200,177,182,186,190,193,194,198,199,221,222,198,175,148,121,131,180,206,220,214,198,174,151,126,96,131,201,201,201,178,182,187,190,194,196,199,200,223,222,201,184,163,132,130,177,222,230,219,193,160,125,103,92,175,203,202,201,178,183,187,192,195,198,200,201,221,224,207,188,175,145,143,186,227,225,205,180,145,107,82,129,202,204,203,202,178,183,187,191,194,197,200,202,216,226,214,197,185,158,148,198,222,207,182,157,126,93,90,182,206,205,204,202,177,181,186,189,192,196,200,201,210,226,218,201,190,165,150,197,210,189,164,136,109,82,134,203,204,204,203,201,178,182,187,190,193,197,200,201,208,227,221,202,184,157,146,188,190,173,155,124,95,93,187,206,205,203,203,202,179,182,187,192,194,197,200,202,209,229,215,193,169,142,146,179,166,152,142,115,83,147,207,206,206,205,204,203,179,184,188,192,194,196,200,200,210,229,209,187,157,146,153,171,153,138,129,99,106,196,208,206,206,205,205,203
23,158,160,162,166,168,171,174,175,176,177,179,180,181,181,182,183,182,183,181,180,182,181,180,180,180,180,178,176,158,160,162,166,168,172,174,175,178,178,180,182,181,183,183,183,183,184,183,183,183,181,181,181,181,181,180,178,159,161,163,166,169,173,174,177,178,179,181,183,183,185,186,184,184,184,184,184,184,183,183,182,182,180,181,180,161,162,165,169,171,173,176,177,178,180,183,182,182,182,179,186,187,185,186,186,186,185,184,184,182,182,182,181,162,161,167,170,173,175,177,180,180,179,179,188,198,195,164,144,178,188,188,187,186,187,185,184,183,182,183,182,161,162,168,171,173,176,178,180,179,186,205,202,199,189,174,162,163,144,188,188,187,187,186,186,185,184,183,183,163,164,167,170,173,176,178,182,179,201,201,164,167,139,143,158,137,144,189,188,188,188,188,187,186,185,184,185,163,165,168,172,175,178,180,183,181,199,183,155,110,146,187,182,178,191,190,189,188,189,188,187,187,187,186,184,163,165,169,173,176,179,182,184,182,202,185,171,101,163,198,194,196,192,192,192,191,191,188,188,188,188,187,185,164,166,170,174,178,179,182,184,183,204,188,172,122,173,195,152,186,194,192,192,191,191,190,190,189,188,188,187,165,167,171,173,178,180,182,186,184,209,195,200,211,212,200,113,150,203,191,192,192,193,192,192,191,189,189,188,166,169,172,174,178,181,183,183,188,214,220,222,205,196,159,115,137,205,197,194,194,194,193,192,192,191,190,190,166,169,173,176,179,182,183,195,207,213,217,210,202,192,118,140,163,136,182,195,198,195,195,195,193,192,192,191,167,169,173,177,180,180,209,216,210,213,217,212,199,171,110,132,162,103,106,130,162,200,195,195,194,194,193,192,168,170,174,179,181,184,217,203,197,203,203,190,193,151,104,103,135,116,108,118,114,190,199,196,196,196,194,192,168,170,175,180,180,189,214,199,207,217,211,204,187,143,113,98,104,119,116,125,121,184,201,197,197,196,196,195,167,171,175,180,181,180,223,221,221,214,195,178,159,128,119,110,79,99,118,123,125,187,202,198,198,197,196,195,168,171,175,180,183,181,224,220,199,167,139,131,121,124,128,102,64,95,121,128,130,193,202,199,199,199,198,197,170,172,176,180,183,180,214,201,178,143,123,90,102,137,127,88,89,106,121,129,129,195,202,200,199,200,199,198,169,173,177,181,184,179,204,202,169,128,108,84,120,113,90,89,106,116,117,127,136,202,201,201,202,201,200,199,170,173,177,182,187,176,202,200,162,135,119,99,82,74,91,104,116,123,121,124,176,207,202,202,203,203,200,199,169,173,178,181,187,175,200,200,169,143,122,117,93,88,115,126,131,134,122,152,210,203,204,204,203,203,201,200,169,173,179,181,189,172,198,204,173,147,129,126,112,102,127,135,136,135,124,173,212,205,206,205,205,204,203,202,170,173,179,182,189,173,192,202,171,151,133,128,118,106,127,134,135,132,129,193,209,206,206,206,205,205,204,203,171,174,179,183,189,177,189,199,168,152,134,129,121,112,126,131,137,126,154,212,207,206,207,207,206,204,203,203,170,174,179,183,189,183,187,194,168,150,134,126,124,121,128,133,129,143,200,210,208,207,207,207,207,206,204,203,170,174,180,184,189,184,188,190,160,143,130,127,128,126,126,130,145,202,212,209,210,210,209,208,207,206,205,204,171,174,179,183,189,184,190,193,158,140,130,129,129,129,129,127,186,213,208,209,209,210,209,209,207,206,205,204
21,149,156,162,164,167,172,177,180,184,186,187,189,191,192,192,193,193,192,191,191,192,191,191,189,188,187,187,185,150,158,163,165,169,174,179,182,185,188,190,191,192,194,196,194,194,194,193,193,193,192,192,190,188,187,187,187,152,160,165,167,171,177,180,183,187,190,192,193,193,194,195,198,196,196,196,196,194,194,193,192,190,189,188,187,153,161,166,168,171,177,181,186,189,191,194,195,193,212,178,167,203,197,198,198,196,196,195,194,192,191,190,189,154,162,168,168,173,179,183,187,189,192,195,196,195,225,188,133,195,201,199,199,198,198,197,195,197,194,192,190,156,164,169,169,175,181,185,187,192,194,196,198,195,219,207,140,177,207,199,200,200,199,202,189,159,193,194,193,157,165,169,170,176,182,186,189,193,196,198,200,199,212,230,171,163,210,201,202,202,200,208,185,124,181,199,194,158,167,171,173,178,184,189,192,194,197,200,202,202,209,241,191,148,206,205,204,202,204,205,178,130,186,200,196,160,168,172,174,180,186,190,193,195,199,201,204,204,207,236,197,143,192,210,206,203,213,209,164,134,203,199,198,161,169,173,175,181,187,191,194,198,201,202,205,207,205,237,209,151,176,214,206,205,218,205,151,151,209,200,199,162,169,174,176,183,188,192,196,199,202,203,206,208,204,236,225,164,169,216,205,212,213,182,132,177,209,201,201,162,171,174,177,183,188,193,197,200,203,206,207,209,206,226,225,161,165,217,209,223,213,171,122,198,207,202,202,164,173,176,179,185,191,195,199,202,205,206,208,211,210,224,222,147,147,216,212,223,207,153,146,213,204,205,204,165,174,177,180,186,192,196,200,202,206,207,209,211,181,180,228,153,166,198,207,203,179,124,178,215,205,206,206,165,174,180,182,187,193,198,201,204,207,208,217,224,173,145,188,166,163,192,203,199,148,124,210,209,208,207,207,166,175,181,182,188,195,200,203,205,208,209,204,221,179,169,150,167,162,151,185,189,126,169,220,209,210,209,207,167,176,180,183,190,196,201,204,207,210,226,178,174,187,188,182,192,167,104,135,161,112,184,219,211,212,211,209,168,177,181,184,191,197,202,205,206,224,237,208,148,178,187,179,178,155,131,105,111,108,193,219,212,213,212,210,169,178,182,185,191,197,202,206,207,224,237,216,153,149,178,129,148,166,152,128,101,101,203,219,213,214,213,211,170,179,183,186,192,198,204,208,208,234,229,204,167,135,183,165,115,174,171,143,121,91,177,226,214,214,213,212,170,179,184,187,194,200,205,208,210,234,221,207,170,111,177,235,137,162,200,153,135,103,141,230,215,216,215,213,172,181,183,187,194,200,206,211,209,234,248,221,159,145,140,180,132,187,191,158,138,109,135,229,216,218,216,214,173,180,183,188,195,201,206,212,210,231,248,232,179,194,124,150,208,191,179,143,135,101,148,231,216,219,217,215,172,182,185,188,196,202,207,212,212,225,251,220,193,173,143,196,219,171,172,165,127,96,162,232,217,219,218,217,173,182,185,189,197,204,207,213,214,222,247,217,214,176,184,230,202,183,174,172,138,90,189,230,219,219,219,219,172,181,183,189,196,202,207,213,215,217,238,219,215,185,193,228,200,184,162,153,122,100,217,224,220,220,220,219,172,180,182,188,196,202,207,210,214,219,231,220,210,192,164,198,179,158,140,128,93,135,233,220,221,219,219,218,174,181,184,189,197,202,208,210,220,194,191,229,206,183,153,156,158,149,129,114,92,193,231,222,221,219,219,218
15,94,98,100,101,105,106,109,120,128,136,141,145,151,152,155,157,159,162,165,169,170,171,173,175,177,178,178,179,94,97,95,95,100,103,110,120,128,135,142,146,151,153,155,156,161,163,165,169,171,173,175,178,179,178,179,179,97,90,121,150,114,102,107,119,130,137,142,148,152,153,154,156,160,163,165,169,171,172,175,178,179,177,179,181,98,83,155,187,165,145,129,122,127,131,143,150,153,155,154,157,160,164,167,170,173,174,176,176,178,178,181,182,96,90,116,165,156,153,160,151,147,135,133,135,142,146,152,158,164,168,169,170,172,175,176,177,179,180,182,184,95,98,93,114,124,120,138,148,152,156,149,139,138,136,140,141,141,149,157,167,175,174,176,177,181,182,183,184,95,96,99,100,103,106,118,122,122,147,150,148,143,143,151,154,141,125,118,109,161,180,177,181,182,182,183,185,95,97,100,102,102,105,113,119,113,127,135,133,129,126,148,163,164,141,131,103,95,169,182,180,182,183,185,187,95,96,98,101,102,104,114,125,130,135,135,134,129,124,156,159,163,148,148,130,103,109,178,181,182,185,186,188,94,96,97,100,102,104,115,123,129,139,146,149,142,158,172,160,156,166,155,147,133,100,113,182,183,186,187,188,94,95,97,99,102,106,113,122,137,138,142,149,158,182,176,137,155,169,150,166,147,120,87,122,188,182,187,188,94,95,96,99,103,103,117,160,146,147,143,134,163,162,137,118,142,164,144,178,156,123,104,81,145,191,186,188,94,95,97,100,102,100,128,169,160,172,175,149,122,130,108,77,134,146,144,177,157,127,109,93,87,161,192,190,94,95,98,100,101,102,115,136,144,175,184,152,130,141,134,114,129,136,151,157,150,129,111,96,89,90,169,193,93,94,96,97,100,104,112,124,140,156,153,135,145,150,141,146,147,141,120,114,130,120,108,93,91,80,104,184,93,94,94,95,98,102,113,123,130,138,130,122,143,151,147,153,160,146,115,93,104,106,102,100,92,91,81,117,92,94,94,95,97,101,112,122,129,135,188,133,107,117,146,152,155,141,109,95,100,99,99,102,98,93,91,81,90,90,92,96,96,100,111,122,129,133,198,157,102,54,87,134,147,136,110,99,101,99,101,104,101,96,94,87,90,90,91,94,94,100,112,121,129,133,183,150,91,73,66,82,131,110,98,98,103,104,103,104,101,99,96,89,89,90,92,93,93,100,112,121,131,133,182,149,83,112,82,79,112,123,106,104,109,111,107,103,100,99,96,94,88,89,90,92,93,98,109,119,129,130,175,146,79,151,90,129,98,133,129,121,114,107,105,102,97,96,95,96,87,88,88,91,92,97,107,118,130,124,189,144,70,161,135,102,151,124,113,102,104,101,100,100,100,100,99,96,86,86,84,87,86,93,105,116,126,126,182,128,74,151,169,75,159,148,96,119,88,85,89,88,88,92,96,99,129,125,124,126,126,128,130,132,136,136,147,95,109,159,139,99,156,161,154,167,115,76,76,76,77,80,87,94,107,106,107,109,113,111,109,107,104,103,105,94,108,113,109,108,114,114,115,115,114,91,81,88,95,99,101,103,105,106,105,106,105,104,105,104,99,102,104,109,107,105,106,108,105,105,105,105,106,106,106,113,108,115,113,118,109,107,108,110,108,108,109,109,108,108,111,109,109,111,113,111,109,110,111,111,113,113,108,136,123,124,118,126,111,109,108,108,108,109,111,111,111,111,111,109,108,110,111,111,110,111,110,109,110,113,104,137,153,136,134,135
1,141,143,144,145,147,147,145,145,145,143,142,142,143,141,141,144,141,136,133,134,132,129,125,124,121,120,117,115,143,143,145,146,147,147,147,146,146,144,142,143,142,144,143,108,123,139,133,133,131,129,125,125,122,120,118,116,142,143,145,147,148,149,149,148,147,146,145,147,141,98,121,80,67,149,138,133,131,129,127,126,123,121,120,118,144,146,147,148,148,150,149,149,149,148,147,148,147,69,70,97,35,68,94,141,132,131,129,127,124,122,121,120,147,149,149,150,151,152,152,153,151,150,149,149,142,60,73,97,13,46,43,133,137,132,130,129,125,123,122,120,149,151,151,153,153,154,154,154,154,151,149,155,133,45,84,82,10,71,37,117,141,132,132,130,129,126,124,123,151,152,153,156,157,157,156,156,156,156,107,119,129,42,103,85,18,79,29,107,146,135,135,132,130,129,126,123,153,155,157,158,157,158,158,158,156,161,91,74,133,48,102,77,20,88,38,104,149,137,139,136,133,131,128,125,156,158,158,158,160,160,160,160,160,158,70,81,109,39,103,55,31,103,41,96,152,139,139,137,134,132,131,130,158,159,160,161,163,162,162,161,164,151,51,93,87,40,108,52,56,107,27,97,155,142,141,140,137,133,131,131,159,159,160,163,163,164,165,163,166,152,54,94,105,48,112,69,53,102,29,106,157,144,144,142,139,136,133,131,160,161,162,164,165,166,167,164,171,141,38,94,117,45,104,68,42,107,47,103,158,146,144,143,141,138,135,133,159,163,165,165,166,167,168,165,173,143,44,89,105,24,79,37,40,113,39,100,163,146,148,144,142,139,137,134,161,165,167,167,168,169,170,167,175,151,50,66,102,54,78,89,87,68,40,77,151,150,148,146,144,140,138,136,164,166,168,169,170,171,170,168,177,138,72,92,88,93,87,94,96,51,51,31,75,161,146,146,145,141,140,139,165,166,168,170,172,173,173,173,176,148,121,86,57,67,71,81,79,65,42,48,46,146,151,147,145,141,141,138,166,167,169,170,173,174,175,175,182,153,103,58,48,52,76,91,67,55,80,100,45,109,161,147,146,141,140,138,167,168,169,173,174,173,175,178,184,147,95,51,52,59,88,97,102,112,95,112,73,71,161,148,149,143,141,139,169,169,171,174,175,175,177,178,179,152,102,53,53,68,94,109,121,143,103,97,92,43,148,153,148,147,143,140,169,170,174,174,175,177,177,178,173,153,114,66,41,72,96,115,120,123,118,84,59,16,139,155,148,146,144,141,170,171,173,175,176,177,177,179,171,157,127,82,49,54,99,131,132,125,101,71,39,25,155,152,149,146,144,142,169,170,173,176,177,178,178,180,170,150,124,87,58,53,106,143,133,117,92,65,18,75,170,152,150,148,146,143,170,172,174,176,177,178,180,181,169,146,125,95,66,69,117,139,124,107,80,56,11,131,164,154,151,149,147,142,170,174,176,177,178,179,180,182,176,149,128,108,84,81,126,134,124,99,70,29,40,169,156,156,152,151,149,145,172,173,175,178,180,179,182,183,182,155,131,116,96,80,114,118,105,81,55,0,114,172,157,157,154,152,149,147,173,174,176,179,181,182,183,184,183,168,140,122,102,78,95,100,77,57,6,51,173,163,160,159,156,153,150,148,173,175,177,177,177,180,183,185,182,172,145,112,99,89,87,82,56,11,44,170,168,164,160,158,155,151,150,147,172,176,177,177,177,182,185,186,175,169,146,117,119,94,77,65,25,9,153,176,165,165,160,158,155,152,150,147
14,175,177,180,183,182,183,186,186,187,187,188,186,188,187,186,185,184,183,182,182,180,180,179,177,176,175,173,173,177,180,182,184,185,186,189,190,189,190,190,189,192,190,190,190,188,186,185,185,184,183,182,180,178,178,178,176,181,182,184,187,188,190,191,191,191,193,193,192,194,195,192,193,191,190,188,188,186,184,183,183,182,182,181,179,181,183,186,189,190,192,195,194,195,195,195,196,193,193,194,197,196,192,190,191,190,188,187,185,184,183,182,181,183,186,189,190,192,195,198,198,198,198,198,198,211,184,173,185,183,199,195,192,192,191,190,187,186,185,185,183,184,187,191,193,194,197,198,200,199,200,203,221,211,188,170,166,149,161,196,196,195,193,192,192,190,189,188,187,188,190,193,197,198,199,200,202,203,204,225,220,213,194,199,180,144,108,122,208,196,197,196,193,192,191,190,189,192,193,195,198,201,201,200,204,203,217,227,223,196,92,171,171,160,116,47,139,210,197,198,195,194,193,192,191,192,195,197,199,201,204,202,206,211,233,187,130,116,68,61,79,179,167,56,69,198,201,199,198,197,195,194,193,194,197,200,203,205,208,206,228,243,226,166,99,51,46,36,13,146,202,120,60,178,209,200,200,198,196,196,196,198,200,201,204,209,206,219,245,225,176,139,109,66,21,46,19,71,144,118,59,142,216,201,202,200,199,198,197,199,201,203,207,208,206,243,238,206,140,74,70,57,37,23,62,188,164,167,107,110,218,202,205,203,201,200,199,198,200,205,209,203,239,251,223,204,138,77,39,41,22,87,204,217,206,177,82,107,219,206,208,204,204,202,200,200,204,210,201,230,255,231,222,180,120,91,45,24,61,217,223,209,185,162,70,92,224,208,211,209,207,205,204,203,208,206,216,255,247,233,214,172,136,84,24,9,105,201,223,214,168,151,79,47,183,219,210,211,209,208,206,206,211,204,249,255,245,226,201,169,117,66,25,42,50,56,197,185,143,139,99,60,130,229,211,213,210,209,208,209,207,223,255,255,238,218,197,141,90,47,53,81,83,78,87,121,158,144,95,62,178,224,215,214,212,211,210,207,207,254,255,244,228,205,176,118,89,52,87,102,105,112,92,109,148,128,60,150,229,216,218,215,215,214,212,210,230,255,248,235,212,197,163,119,89,75,102,107,112,103,110,103,137,76,116,229,217,219,217,216,216,214,212,180,255,255,239,218,207,184,158,129,84,85,108,107,105,89,113,95,64,102,228,223,222,222,219,218,217,216,214,67,161,248,228,191,175,155,138,92,75,83,94,102,93,87,88,43,85,220,229,223,223,223,222,219,218,217,216,71,56,104,170,185,143,102,63,49,67,67,76,89,78,60,88,154,227,233,224,226,224,223,223,222,220,218,217,60,64,54,66,82,75,58,43,43,48,49,47,48,55,126,227,243,231,229,228,226,226,225,224,223,222,219,217,57,54,59,59,7,6,19,15,12,15,6,57,125,183,242,234,231,232,231,231,229,227,226,225,224,223,221,219,54,53,48,59,44,0,8,5,0,0,0,28,222,250,231,234,235,234,232,232,231,228,228,226,225,224,223,221,51,48,46,51,50,0,0,2,0,0,0,6,211,242,235,236,236,235,234,233,232,230,230,228,226,225,224,223,39,43,38,48,51,0,0,0,0,0,0,92,255,234,239,238,237,236,234,234,233,231,231,230,228,226,224,224,53,90,28,54,30,0,0,0,0,0,0,156,255,234,239,239,237,236,235,235,234,232,232,231,230,226,226,225
8,197,199,200,201,201,202,203,204,205,204,203,203,204,204,205,204,204,203,201,200,198,195,195,194,192,192,189,187,200,202,201,203,204,205,207,207,207,207,205,207,206,206,207,206,205,204,203,201,200,198,197,197,194,193,191,189,202,204,204,205,208,208,209,209,208,213,221,184,208,208,209,209,208,207,205,203,203,201,199,198,197,195,193,192,204,205,206,207,209,210,210,212,206,226,230,156,208,212,210,211,210,208,207,206,206,204,202,200,199,198,196,195,205,206,208,209,211,212,212,214,206,236,225,155,215,211,215,215,209,211,209,207,208,204,204,204,201,200,199,197,208,209,211,212,213,213,213,216,209,243,232,163,219,230,203,207,222,203,204,211,207,214,203,195,206,201,201,199,211,212,214,214,214,216,215,217,211,250,229,161,242,255,200,176,246,200,168,212,198,228,200,168,212,203,203,201,212,214,215,215,216,216,216,218,211,252,231,163,255,255,217,169,236,211,154,208,201,217,208,155,210,207,204,202,213,215,215,216,217,219,219,221,215,250,250,201,255,255,226,166,226,218,143,210,202,186,221,164,182,210,205,203,215,216,217,218,220,221,221,222,218,255,246,249,252,255,229,159,211,212,140,217,193,144,204,200,153,187,212,205,216,216,218,220,221,221,221,220,227,255,244,247,250,244,220,151,211,201,144,215,171,135,189,220,151,182,214,206,217,217,219,222,223,223,225,218,241,255,220,224,221,230,235,156,206,196,131,182,161,140,214,228,155,200,213,209,217,220,222,222,223,225,225,219,250,255,202,195,191,199,239,153,210,200,117,184,147,162,240,212,156,213,213,209,220,222,223,224,225,225,227,222,255,255,219,177,185,188,196,186,214,186,144,193,155,215,238,179,161,222,214,216,222,223,224,225,226,226,229,225,255,255,228,187,166,184,203,228,203,198,222,226,221,218,207,159,175,216,207,184,221,223,224,226,226,228,231,225,255,255,237,202,169,179,213,226,234,253,255,245,217,188,171,146,138,139,129,114,221,222,225,225,225,228,229,225,255,255,245,220,184,175,215,246,255,255,248,234,204,170,147,129,127,123,116,112,222,223,225,227,228,229,230,225,253,255,255,234,208,190,219,255,255,253,239,216,185,154,133,125,123,115,114,114,224,225,225,229,230,229,231,227,246,255,255,243,224,199,221,255,255,242,222,193,159,134,120,114,95,85,72,60,224,227,228,228,231,230,232,230,237,255,255,247,222,204,216,249,245,224,202,167,136,117,107,99,86,73,70,56,224,227,228,227,230,231,234,235,239,255,255,238,217,201,213,231,222,200,180,143,120,115,108,93,75,64,65,61,229,231,233,233,235,234,243,204,197,255,225,219,203,193,211,214,196,173,146,116,107,109,111,107,83,60,56,59,200,203,205,207,210,211,229,134,112,255,220,217,201,199,205,198,172,145,114,84,90,101,97,108,103,70,51,53,131,130,127,129,130,131,143,132,71,172,227,217,208,199,188,180,150,121,69,54,68,89,84,95,111,87,58,48,130,129,133,132,131,129,133,145,126,126,177,198,197,180,166,151,123,88,29,34,65,79,77,81,103,98,68,48,135,134,137,137,138,137,143,142,122,128,127,136,156,156,137,134,99,50,21,60,94,98,65,72,92,103,82,55,138,134,137,137,138,137,145,144,122,120,119,110,107,110,111,111,83,33,44,86,106,98,57,65,82,100,92,67,138,135,137,140,141,140,149,140,125,122,119,114,103,94,90,86,80,69,71,71,72,62,45,55,73,91,96,77
7,126,145,157,163,168,172,175,175,177,179,182,183,184,184,185,186,186,186,186,185,184,183,182,181,181,179,178,177,128,147,158,164,169,173,176,177,178,181,183,184,185,185,185,186,188,187,187,186,186,185,184,182,182,180,179,178,129,149,158,165,170,174,176,178,180,182,184,185,186,187,188,189,189,189,189,188,187,185,185,184,183,182,181,180,130,149,159,166,171,175,177,179,182,184,184,185,187,189,189,189,190,189,189,189,189,187,186,186,185,184,183,181,131,150,159,166,172,175,178,180,182,184,185,186,188,190,190,190,190,190,190,190,190,189,190,188,186,185,184,182,132,151,159,168,172,176,179,180,182,184,185,187,189,192,193,194,195,195,194,193,191,187,184,183,187,187,185,183,132,151,160,167,172,177,179,182,185,188,190,189,188,185,179,173,162,160,157,160,148,139,162,165,159,188,185,185,133,152,160,168,172,176,179,172,165,160,159,158,152,141,136,140,118,126,130,125,125,127,161,158,138,191,189,186,135,153,161,169,173,179,166,140,133,139,140,145,143,135,128,120,117,118,120,117,121,117,117,112,135,170,182,189,136,154,160,168,178,175,157,128,121,126,125,126,128,129,130,133,133,119,124,133,126,122,118,113,117,137,138,181,137,153,164,172,172,162,151,132,119,117,125,135,142,144,144,139,131,109,115,132,120,111,110,103,109,129,116,172,135,164,171,168,161,157,155,146,142,143,148,152,142,140,137,132,114,103,103,105,100,97,98,98,103,114,144,189,165,174,167,165,165,163,149,128,119,124,133,132,125,122,111,102,98,113,128,144,157,169,176,180,186,189,193,191,180,172,170,169,165,149,139,107,101,114,112,100,93,109,151,170,183,192,201,205,203,202,201,199,197,194,192,191,175,173,172,162,145,141,128,101,98,93,82,73,78,88,110,123,194,202,197,197,197,196,196,196,195,193,192,191,174,175,164,150,141,135,130,123,106,88,86,90,88,84,77,59,139,209,197,200,199,198,197,197,197,195,193,192,176,167,149,140,136,133,143,146,120,91,90,93,92,90,91,75,142,211,199,200,199,199,199,198,197,195,193,192,163,148,133,132,131,130,133,130,102,86,84,80,84,85,86,68,110,207,200,201,200,200,198,198,197,196,195,192,142,135,131,130,126,118,119,108,90,79,69,75,88,90,87,74,135,204,199,201,201,200,198,197,197,196,194,192,138,135,132,127,119,105,100,101,99,86,85,96,98,91,75,147,210,200,201,201,201,200,198,197,197,196,195,192,132,123,116,111,105,102,107,117,112,95,88,83,84,87,135,200,199,200,200,199,199,199,197,197,196,195,193,191,124,117,114,112,110,110,113,117,102,81,97,132,158,186,202,197,197,199,198,197,197,197,197,197,195,194,192,191,121,118,118,114,107,103,100,92,88,128,183,201,201,198,196,198,198,198,198,198,198,197,197,196,196,195,192,191,102,105,103,99,95,93,103,134,168,195,195,193,194,195,197,197,198,198,198,197,198,197,197,196,195,194,192,191,76,50,99,138,140,156,176,187,187,186,190,192,194,195,196,196,197,197,197,197,198,197,197,196,194,193,191,190,67,27,129,184,179,185,185,184,187,191,193,195,197,197,199,199,199,198,198,198,196,195,195,194,191,190,191,189,46,33,136,160,150,151,150,150,149,150,148,145,145,146,146,145,143,140,140,139,135,133,132,129,127,124,105,98,28,47,110,114,114,116,115,115,117,117,114,115,115,116,116,114,113,113,112,112,112,111,110,108,107,82,49,47
8,180,181,183,183,185,185,186,187,186,186,186,186,185,185,185,184,184,184,184,182,181,180,180,179,179,178,176,174,180,183,185,185,187,187,187,187,188,187,187,187,187,186,186,186,186,185,185,183,183,182,181,181,181,180,178,177,183,185,186,187,188,188,189,189,189,189,190,189,187,189,187,187,187,187,186,185,184,184,183,183,182,180,179,178,185,186,187,190,191,189,190,190,191,191,190,190,188,184,190,188,187,187,188,187,185,185,184,184,184,182,180,179,186,188,189,190,191,192,191,192,193,192,188,199,200,147,181,192,189,188,188,188,187,186,186,185,183,183,181,180,188,190,191,190,191,193,193,193,194,193,189,210,190,124,172,195,190,190,190,189,187,187,186,186,185,183,184,183,190,191,192,192,193,194,195,195,194,195,192,214,168,119,181,195,191,192,191,190,188,188,186,186,186,185,185,183,190,192,194,195,194,196,196,196,196,195,197,215,157,122,192,196,193,193,192,190,190,190,189,188,187,187,186,185,193,192,194,196,196,196,197,197,198,195,204,217,155,132,195,195,194,192,192,192,191,190,190,189,188,187,186,186,194,194,196,197,198,198,199,199,200,195,209,205,139,137,198,195,196,195,194,192,192,191,190,190,189,188,187,187,194,196,197,198,199,199,199,200,201,196,214,203,139,147,202,196,195,192,197,193,192,192,192,192,190,190,188,188,196,198,198,200,202,202,202,203,203,197,221,202,161,160,198,197,207,157,165,203,196,196,192,191,192,191,189,188,197,199,200,201,203,203,204,204,204,201,222,196,173,168,204,213,209,162,126,153,155,185,199,197,192,192,191,190,198,200,201,203,203,203,204,205,205,204,219,202,186,177,217,214,210,189,154,110,111,123,185,177,197,193,193,192,200,202,203,204,204,205,206,207,204,214,228,197,185,191,210,196,204,205,172,162,135,103,132,109,146,200,191,192,202,203,205,207,207,207,207,209,205,223,214,183,178,174,208,185,147,196,188,186,152,106,108,109,92,183,196,192,203,204,206,207,207,208,209,205,212,221,185,158,167,159,197,170,121,128,191,177,148,104,84,102,89,156,204,192,205,206,207,209,209,209,209,207,230,222,193,162,145,136,191,188,156,90,203,188,155,110,81,96,97,181,201,194,205,207,209,209,210,212,208,220,237,214,186,160,146,124,185,193,141,95,186,201,155,113,90,84,142,205,196,197,205,207,210,210,212,212,210,233,233,207,177,156,149,115,121,164,143,134,188,206,157,115,84,129,202,200,199,198,207,208,209,210,213,211,217,238,219,192,183,168,148,123,184,210,202,198,189,192,154,106,120,208,202,201,201,199,208,209,210,212,212,214,227,235,211,200,186,155,141,193,229,217,194,202,178,163,147,110,126,214,202,204,202,200,208,209,212,212,218,195,226,234,209,207,176,147,188,225,216,202,177,189,168,140,142,106,150,213,202,203,203,202,209,210,213,214,219,128,154,238,213,206,164,184,219,223,207,193,173,178,167,123,123,105,203,208,204,204,204,203,210,211,212,223,159,108,102,149,207,197,169,189,211,214,202,191,164,165,157,120,91,154,218,206,207,206,204,203,210,212,220,193,112,108,110,99,119,156,159,183,196,203,194,179,158,162,135,98,101,209,210,208,209,207,205,203,211,216,208,125,109,107,103,111,85,74,102,116,140,166,172,163,156,141,108,83,180,218,209,210,209,208,207,205,211,214,148,106,109,104,102,102,104,62,78,81,79,85,101,112,113,100,80,150,221,210,211,211,209,208,206,204
24,164,167,168,168,169,170,171,171,171,172,172,173,173,173,173,172,172,172,172,171,171,170,169,168,110,39,26,18,168,169,170,171,172,173,174,174,174,174,175,175,175,174,175,175,174,175,175,174,174,173,172,172,103,26,33,34,170,171,173,174,174,176,176,176,176,177,178,177,177,177,177,177,177,177,177,177,176,175,173,179,128,35,42,50,171,173,174,175,176,177,178,178,179,180,179,180,180,180,180,181,181,180,180,179,178,177,175,177,169,57,41,44,173,174,175,178,178,179,181,180,181,182,181,182,182,182,182,182,183,182,181,180,180,180,179,175,182,109,35,33,175,177,178,179,180,180,182,183,182,183,182,183,183,183,183,184,184,185,184,183,182,182,182,179,184,156,42,25,176,179,180,180,181,182,183,183,183,185,184,184,185,185,186,185,187,187,185,185,185,182,183,183,180,186,64,16,177,179,181,181,186,185,183,184,186,187,186,186,187,187,187,187,187,189,187,187,188,185,185,184,182,189,130,110,178,180,182,185,160,181,187,187,187,187,187,188,188,188,188,189,188,189,188,188,188,188,187,186,183,190,136,153,180,181,183,188,130,141,196,185,188,188,188,188,188,189,190,189,190,190,190,188,189,189,188,187,186,190,145,176,181,183,185,185,144,97,185,188,189,189,189,189,190,190,190,190,191,191,192,194,190,190,189,189,187,188,176,154,182,183,186,188,168,95,139,199,188,190,190,190,191,194,192,192,195,199,178,172,195,190,190,190,190,189,194,150,183,185,187,188,180,138,95,182,195,190,192,193,190,182,191,197,165,195,181,114,157,200,191,190,188,180,162,150,183,187,188,188,189,171,111,115,195,193,191,194,197,154,160,204,129,126,195,123,120,201,192,189,191,166,119,100,183,187,188,187,190,182,154,120,141,198,190,196,211,183,147,170,154,110,190,140,124,200,191,194,197,139,95,112,182,185,186,186,188,188,172,148,125,157,193,194,208,211,159,128,180,118,169,154,130,202,185,202,176,96,142,196,183,185,187,187,188,189,184,163,150,165,170,179,172,212,179,115,156,137,158,171,114,161,170,195,133,109,195,187,183,185,188,189,189,190,191,187,188,185,159,149,137,173,191,127,106,145,154,183,104,107,176,167,106,169,195,187,182,185,187,187,188,189,190,193,204,174,149,131,109,118,182,139,83,157,145,195,124,133,174,127,122,199,189,189,188,191,194,194,195,196,198,196,202,201,175,133,115,124,150,155,92,154,155,125,145,164,158,97,148,199,189,190,137,142,144,148,152,156,161,163,166,207,208,184,131,116,141,159,117,125,176,122,200,163,136,105,193,202,196,192,85,86,86,89,89,87,90,91,81,186,218,210,188,126,130,171,162,145,178,194,184,138,123,100,127,124,135,158,96,94,96,97,95,95,95,98,84,146,223,199,208,163,129,141,205,219,221,203,159,129,107,94,118,150,173,194,96,93,93,93,94,96,95,96,94,104,199,196,209,191,149,130,161,216,210,179,151,113,103,188,207,201,198,202,93,92,93,92,93,94,95,95,99,90,141,210,214,200,160,138,140,196,194,164,143,95,130,183,176,193,190,189,92,93,95,92,93,94,94,95,97,95,94,193,197,176,143,127,134,164,171,147,114,91,176,174,149,165,180,180,91,91,93,93,94,95,93,94,95,98,85,160,191,149,143,137,138,152,158,133,95,103,169,188,139,128,156,177,92,92,92,92,94,97,92,92,94,96,87,137,198,171,171,158,148,153,155,124,85,111,163,183,151,117,150,167
17,172,173,175,177,179,182,184,185,186,187,189,191,191,192,193,194,195,197,199,198,198,199,200,199,200,201,200,201,170,172,175,176,179,184,185,185,187,188,190,192,192,192,194,196,198,200,201,203,201,205,202,201,202,201,201,202,171,174,176,180,183,184,185,186,188,190,190,193,195,195,195,197,199,200,192,184,198,169,196,204,203,202,203,203,173,175,177,181,184,185,187,188,189,191,192,194,194,197,197,200,199,203,196,144,138,119,156,213,203,204,204,203,174,176,179,182,184,187,189,190,191,193,196,197,197,197,200,202,200,205,221,169,107,94,161,215,203,206,206,204,175,176,180,183,185,187,191,191,192,195,195,196,198,199,200,202,202,202,225,182,125,78,177,214,204,207,206,206,176,177,181,183,185,188,191,191,193,194,195,199,199,202,204,203,206,202,226,200,146,91,197,210,207,207,206,206,175,179,182,184,186,188,191,192,195,196,196,198,202,181,185,212,204,203,230,201,151,122,213,209,210,208,208,207,176,182,183,185,186,190,192,194,196,198,197,197,204,185,135,174,214,211,231,194,150,133,215,209,210,209,210,209,176,181,184,186,187,190,191,194,195,194,193,198,213,193,166,142,176,205,228,195,146,128,214,210,211,210,210,210,178,182,185,185,188,192,194,192,201,206,170,146,197,215,210,205,154,117,183,190,154,130,213,211,213,212,211,209,179,182,183,187,191,193,195,193,217,219,166,132,186,195,224,218,188,119,118,164,144,126,212,212,212,211,211,211,178,183,185,189,191,193,193,202,206,185,200,162,168,141,168,234,212,154,99,130,128,119,211,213,213,212,211,211,181,184,186,189,191,193,193,206,219,161,156,145,105,89,96,238,228,180,109,104,110,110,210,214,214,213,212,212,181,184,187,189,191,194,193,214,200,152,133,148,113,112,109,218,242,198,131,99,108,103,205,217,213,214,214,214,182,184,188,191,193,195,192,217,210,187,168,156,131,154,138,197,252,199,151,101,107,103,196,219,213,215,215,215,183,185,189,191,192,194,197,227,199,169,162,151,145,173,175,220,228,202,165,108,97,100,198,219,214,215,215,216,182,185,189,192,194,195,206,223,179,159,153,152,165,168,235,246,201,188,164,107,91,92,200,221,216,216,215,216,182,185,188,192,197,193,214,227,186,169,154,157,165,205,255,237,203,176,153,107,86,93,206,219,218,216,215,216,183,185,189,193,197,193,221,230,192,176,153,161,174,241,239,227,198,169,145,104,86,108,221,215,217,217,216,216,183,186,191,193,197,191,228,227,197,188,162,163,203,255,232,222,189,154,139,102,81,144,228,214,216,217,217,216,183,186,192,196,198,191,237,227,203,196,180,165,218,249,222,219,191,144,128,99,86,194,222,215,218,217,216,216,184,187,192,195,200,193,240,235,207,208,195,172,217,238,215,209,190,144,120,89,117,225,215,218,218,217,217,217,184,189,193,195,198,192,232,241,213,214,200,186,199,232,209,207,179,141,113,83,171,227,215,217,217,217,218,217,183,189,193,196,199,194,220,246,219,206,194,197,194,219,202,212,185,133,109,87,198,224,217,218,218,218,218,218,185,190,193,194,199,197,213,243,215,203,188,193,198,207,195,215,189,134,105,97,214,221,219,220,220,219,219,218,186,189,192,195,199,197,216,236,211,203,188,188,197,205,192,212,176,133,101,132,228,218,219,220,220,219,218,218,184,188,191,195,200,196,220,238,223,205,194,197,202,203,186,207,159,124,96,181,227,218,220,220,220,219,218,218
18,200,201,202,204,205,206,207,207,207,207,208,208,207,207,206,205,204,204,205,204,202,201,202,201,200,199,198,196,202,204,205,206,205,207,209,209,209,209,209,209,209,207,208,207,206,206,206,205,206,203,203,202,202,200,199,198,202,206,208,207,207,208,210,211,210,211,210,210,209,209,209,209,209,208,206,209,207,205,203,203,202,201,200,199,204,207,209,210,209,210,211,211,211,213,214,211,212,211,211,210,211,207,213,192,196,208,206,206,204,203,202,202,207,209,210,210,211,212,213,214,214,215,215,213,214,215,214,211,210,213,241,158,153,217,206,207,206,204,203,202,209,210,211,211,213,214,214,216,215,216,216,215,213,211,213,217,203,220,249,165,112,214,208,208,207,208,205,205,210,211,213,214,215,217,217,217,216,217,216,219,227,185,153,183,163,181,251,202,108,158,223,206,209,210,207,207,212,214,214,216,217,218,218,220,220,220,218,218,230,218,170,136,145,193,250,210,140,98,191,217,208,210,209,208,213,214,215,217,218,220,222,222,221,219,225,193,144,180,201,152,115,148,218,215,166,141,111,195,218,211,211,209,214,216,217,218,220,222,222,221,225,241,228,197,156,106,185,166,117,94,125,187,181,152,110,127,226,210,212,210,215,217,219,220,222,222,223,219,252,249,247,203,172,116,130,158,107,80,80,181,203,157,122,119,225,212,214,213,215,218,220,222,222,225,220,238,239,226,248,205,176,127,91,113,100,76,75,195,211,178,121,122,226,213,214,214,216,220,222,223,225,224,228,255,241,208,221,196,172,122,87,98,87,78,72,166,209,189,124,113,226,216,217,214,219,222,223,224,225,226,249,239,209,210,212,152,130,105,93,126,72,70,84,177,209,191,128,112,227,216,218,217,220,223,224,227,222,237,255,235,192,172,184,118,112,92,120,121,102,154,157,173,198,172,121,108,227,218,219,218,222,224,225,227,225,239,255,246,222,164,137,156,116,49,128,173,205,207,201,155,156,153,125,97,218,222,220,219,223,225,226,229,224,252,255,253,225,176,142,152,96,74,223,236,224,197,180,162,123,143,130,92,212,226,221,222,224,225,228,229,229,255,255,243,196,174,159,142,106,198,251,231,219,192,158,162,127,125,113,103,227,223,223,222,225,226,228,228,235,255,255,233,197,188,150,115,177,244,237,225,205,184,162,151,134,116,87,162,236,223,223,222,224,227,230,229,240,255,255,228,197,196,148,158,218,247,230,215,202,185,155,143,128,102,93,222,227,226,224,223,225,227,229,230,242,255,253,230,211,209,148,193,211,235,222,204,197,174,141,133,120,80,145,238,224,226,224,224,226,229,231,230,242,255,250,232,223,190,155,164,209,210,210,196,184,158,135,121,105,82,211,233,226,226,225,225,227,230,231,229,242,255,248,242,221,173,138,162,192,198,193,189,170,147,124,112,74,149,241,226,229,228,226,226,228,230,231,231,246,245,240,235,194,145,137,175,183,194,187,173,156,129,109,84,99,229,231,231,232,230,228,228,227,227,232,232,251,242,236,221,193,171,168,174,187,190,180,158,142,120,95,78,206,237,230,233,231,230,228,227,234,239,233,234,255,254,253,237,223,204,182,159,182,186,166,139,125,106,70,178,243,230,233,232,231,230,229,228,200,183,227,249,255,252,251,236,212,191,177,150,171,176,148,128,115,79,162,245,232,234,233,233,232,230,230,229,131,92,105,208,254,250,245,229,204,174,169,151,166,159,135,122,86,138,248,235,236,235,235,233,233,232,232,231
1,145,147,149,149,151,151,149,149,149,148,147,146,147,146,145,148,146,141,139,139,137,135,131,130,128,127,124,123,147,147,150,150,151,151,151,150,150,148,147,148,146,148,148,117,130,144,138,138,137,135,132,131,129,128,125,123,147,147,149,151,151,152,153,152,151,150,149,151,145,108,128,92,81,152,143,138,137,135,133,133,130,128,127,125,148,150,151,152,152,153,153,153,152,151,151,151,151,82,83,107,53,81,104,146,138,137,135,133,131,129,128,127,150,152,153,153,154,155,155,156,154,153,153,153,146,74,86,107,33,62,60,139,142,138,136,135,131,130,129,127,152,154,154,156,156,157,157,157,157,154,152,158,139,61,96,94,30,84,54,125,146,138,138,136,135,132,131,130,154,155,156,159,160,160,159,159,159,159,115,126,135,59,112,96,37,91,47,115,150,141,140,138,136,135,132,130,156,158,160,160,160,161,161,161,159,163,102,87,139,64,111,89,39,99,55,113,153,142,144,141,138,136,134,131,159,161,161,161,162,162,162,162,162,160,83,92,117,56,112,70,49,112,57,106,155,144,144,142,140,138,137,136,160,161,163,163,165,164,164,163,166,154,67,103,98,57,117,68,71,116,45,107,158,146,146,144,142,139,137,136,161,161,163,165,165,166,167,165,167,155,69,104,114,63,120,82,69,112,47,115,159,149,148,147,144,141,138,136,162,163,164,166,166,167,168,166,172,146,55,104,125,61,113,82,59,116,63,112,161,150,149,147,145,143,140,138,162,165,167,167,168,169,170,167,174,147,60,100,114,42,91,54,56,121,56,109,165,150,151,148,147,144,142,139,163,167,168,169,169,170,171,168,175,154,66,79,111,69,90,100,98,81,57,90,154,153,152,150,148,145,143,142,166,167,169,170,171,172,171,170,177,143,85,103,99,103,98,104,106,66,67,48,88,163,150,150,149,146,145,143,167,168,169,171,173,174,174,174,177,152,128,97,72,81,84,93,91,78,58,63,62,150,154,151,149,146,145,143,167,169,170,172,174,175,176,175,181,156,112,72,64,67,89,101,80,70,92,110,61,117,163,151,150,146,145,143,169,170,171,173,174,174,176,178,183,151,105,66,67,73,99,107,111,120,105,120,86,84,164,152,152,148,145,144,170,170,172,174,175,176,177,178,179,155,112,68,68,81,104,117,128,147,112,107,103,59,152,157,151,151,147,145,170,171,174,175,176,177,178,178,174,156,121,79,57,85,106,123,127,129,126,96,73,36,144,158,152,150,148,145,171,172,174,176,177,177,178,179,172,160,133,94,65,69,108,136,138,132,110,84,55,43,158,156,152,150,149,147,170,171,174,176,177,178,178,180,171,153,130,98,73,68,114,147,139,125,102,79,38,88,171,155,154,152,150,147,171,173,175,177,177,178,180,181,170,150,131,105,80,82,125,144,131,115,92,70,31,137,166,157,155,153,151,147,171,174,176,177,178,179,180,182,176,153,134,117,96,92,133,139,130,109,83,47,57,170,159,159,155,154,152,149,173,174,176,178,180,179,182,183,182,158,137,124,106,92,122,125,114,93,69,20,121,173,160,160,157,155,153,151,174,175,176,179,181,182,182,183,183,169,145,129,111,90,105,109,89,72,26,66,174,165,162,161,158,156,153,151,174,175,177,178,177,180,183,184,182,173,149,120,109,100,98,94,70,31,60,171,170,166,162,161,158,155,154,151,173,176,177,178,178,182,184,186,176,170,150,124,126,104,89,78,44,29,157,176,166,167,163,161,158,155,153,151
1,166,167,169,169,171,170,170,169,169,168,167,167,167,166,166,165,164,162,160,160,158,156,153,152,150,149,146,145,167,167,169,170,171,171,171,170,170,168,167,168,167,165,163,143,150,163,161,159,158,156,153,153,151,149,147,146,167,168,169,171,171,172,172,172,171,170,169,170,164,137,144,122,114,160,161,160,158,157,155,154,152,150,149,147,168,170,171,171,172,173,172,172,172,171,171,171,164,116,114,123,88,111,129,161,160,158,156,155,153,151,150,149,170,172,173,173,174,174,175,175,174,173,173,172,161,108,112,121,73,92,95,155,162,159,157,156,153,152,151,150,172,174,174,175,176,176,176,176,176,174,171,173,155,99,118,114,70,102,89,145,163,160,159,157,156,154,152,151,174,175,176,178,178,179,178,178,178,174,144,148,150,97,129,116,75,109,85,137,165,162,161,159,157,156,154,152,175,177,178,179,179,180,180,180,179,176,131,120,147,100,130,111,77,116,90,135,167,164,164,162,159,157,156,153,178,179,180,180,181,181,181,181,181,173,117,119,132,94,129,100,85,125,93,131,169,166,165,163,161,159,158,157,179,180,181,182,183,183,183,183,183,168,105,124,121,93,132,100,99,128,86,131,171,168,166,165,162,160,158,158,180,180,182,183,184,184,185,184,185,168,105,127,131,98,135,109,99,126,88,137,173,170,168,167,164,162,160,158,181,182,183,184,185,186,186,186,187,161,96,126,138,96,129,107,93,129,98,136,174,171,169,167,166,163,161,159,181,183,185,185,186,187,188,187,189,162,98,121,130,84,112,91,92,130,95,132,176,172,171,169,167,164,163,160,182,185,186,187,187,188,189,188,190,167,103,110,128,101,115,121,119,107,90,116,165,173,172,170,168,165,164,162,184,186,187,188,189,190,189,189,191,162,118,124,122,122,121,126,125,98,91,86,118,174,172,170,169,166,165,164,185,186,187,189,190,192,192,192,193,171,145,120,102,107,112,120,116,103,92,93,97,163,173,171,169,166,165,164,186,187,188,190,191,192,193,193,196,174,136,103,93,97,114,123,110,103,115,125,99,141,176,172,170,167,165,164,187,188,189,191,192,192,194,195,197,170,131,97,95,101,121,131,134,139,131,136,115,116,174,173,172,168,166,164,188,188,190,192,193,193,194,195,194,173,135,99,95,107,127,140,149,160,139,131,121,96,166,175,172,170,167,165,189,189,192,193,193,194,195,195,191,174,143,107,90,109,129,145,150,152,144,121,100,78,160,175,172,170,168,166,189,190,192,193,194,194,195,196,190,177,152,118,94,100,131,155,158,152,134,109,86,83,169,175,172,170,169,167,188,189,192,194,195,195,196,196,188,173,152,123,101,101,137,163,159,146,126,102,76,116,179,176,173,171,170,167,189,191,193,194,195,196,197,197,188,171,153,129,108,111,145,162,153,138,117,95,74,152,181,177,174,172,171,167,190,192,194,195,196,196,198,198,192,173,155,139,121,120,150,158,150,132,107,80,94,177,180,178,175,174,172,170,191,192,193,196,197,197,199,200,197,178,159,145,130,120,142,146,136,117,92,67,140,184,181,179,177,175,172,171,191,193,194,196,197,199,199,200,199,186,166,150,134,119,129,131,115,95,70,102,179,184,181,180,177,175,173,171,191,193,194,195,195,197,200,201,198,189,168,145,133,124,122,117,96,70,97,174,187,185,181,180,177,174,173,171,191,194,194,195,195,199,201,201,194,187,170,148,145,128,116,104,76,70,161,190,187,185,182,180,177,175,173,171
3,77,87,92,96,100,104,111,116,119,121,122,124,125,125,127,127,128,131,130,128,129,128,128,130,130,128,127,127,80,90,98,102,105,110,116,120,123,125,127,129,130,131,131,134,139,91,127,134,132,133,133,133,133,132,131,130,87,97,103,108,113,117,123,126,129,132,134,135,136,137,137,144,153,54,99,148,138,141,140,139,138,137,136,134,93,102,108,113,118,122,127,132,136,138,140,141,142,144,143,149,154,51,69,156,144,146,146,144,142,142,140,139,99,106,113,118,123,128,132,138,141,143,144,146,148,150,149,153,159,53,51,156,151,151,150,150,148,146,145,144,102,112,118,122,128,133,139,143,146,150,151,153,153,155,156,159,171,75,44,156,157,156,156,155,155,153,150,149,105,116,123,127,132,138,143,148,150,154,155,157,160,159,158,152,182,83,29,147,165,161,162,160,160,158,155,153,109,119,126,130,136,141,147,153,155,157,160,161,161,170,190,134,96,74,49,139,171,166,166,165,164,162,159,156,114,124,130,134,141,146,153,158,161,164,168,173,146,132,206,175,75,143,75,127,180,168,169,169,168,166,164,163,118,128,133,137,144,150,156,162,166,164,150,193,188,125,164,181,116,154,38,85,189,170,172,172,170,170,170,168,121,130,137,141,149,154,159,164,168,181,155,136,193,156,130,171,102,146,80,37,161,183,176,176,175,173,173,172,123,133,139,145,152,157,162,166,171,193,200,138,105,173,113,160,100,123,136,60,84,194,179,179,179,177,175,176,125,136,142,148,154,159,164,170,178,152,144,127,43,138,80,148,170,82,139,81,60,191,184,183,180,180,179,179,128,139,144,150,156,161,169,172,183,146,92,124,38,108,83,64,83,13,110,89,62,192,187,187,185,184,183,180,132,141,147,153,159,164,171,173,183,184,134,104,71,77,148,64,0,11,147,97,55,190,189,189,187,185,185,186,133,143,148,155,162,167,172,176,187,180,107,57,38,20,95,54,5,80,178,102,39,170,196,190,189,188,187,187,135,145,151,157,163,169,174,177,186,182,135,86,52,20,22,64,111,148,149,92,37,162,203,192,194,193,190,188,138,147,153,159,165,171,177,178,188,200,155,92,61,60,74,161,208,181,120,67,48,181,201,195,196,194,193,192,139,147,155,160,167,174,179,179,187,201,166,112,89,89,97,196,208,159,110,47,63,201,198,197,198,196,195,192,139,149,156,162,169,175,178,182,187,197,176,133,100,85,110,196,194,139,96,38,91,213,198,200,199,198,197,195,139,147,155,162,168,173,177,184,187,190,175,135,110,106,107,190,184,127,79,32,129,213,200,202,201,201,198,196,140,148,156,163,169,173,178,182,186,185,174,143,128,122,95,177,164,111,64,36,163,211,199,200,201,201,198,196,142,150,157,164,170,175,179,183,187,189,173,151,129,123,85,143,143,92,53,49,188,206,201,201,199,197,199,200,142,150,156,162,169,175,177,182,185,186,187,157,129,110,66,108,106,65,41,109,212,201,204,202,202,204,190,158,145,158,164,170,177,184,188,191,194,188,200,156,128,93,67,88,74,55,58,185,205,206,195,201,192,184,152,108,85,91,97,105,114,120,126,137,137,179,200,158,134,95,83,81,71,38,109,205,163,158,180,133,148,170,106,100,53,54,55,57,58,56,55,60,57,167,189,155,136,125,93,72,55,33,171,223,169,133,151,141,109,153,70,119,62,63,67,68,67,71,78,72,83,186,176,133,127,131,82,61,37,73,156,200,173,149,108,147,119,108,67,138
20,175,179,182,186,189,189,191,193,194,196,197,198,198,198,198,199,199,199,199,199,198,198,197,197,197,196,195,193,177,181,184,187,189,191,193,194,196,197,198,199,200,200,200,200,200,202,201,201,200,199,199,199,199,198,197,195,179,182,186,188,191,192,195,196,198,199,199,200,202,203,200,218,196,185,204,204,203,202,202,202,200,199,199,198,181,183,187,191,192,195,196,198,199,200,202,203,204,205,198,232,192,168,196,183,208,203,204,204,203,202,200,199,183,185,188,192,194,196,199,199,200,202,204,204,205,207,201,231,191,188,211,155,207,206,205,205,205,204,203,201,184,187,190,193,196,198,200,201,202,204,206,206,206,208,203,237,204,190,226,156,202,209,207,206,207,206,204,203,186,188,191,195,197,199,201,204,205,206,207,206,209,209,206,243,204,192,237,167,198,211,209,209,209,207,206,205,187,190,193,196,199,200,203,205,205,207,208,209,207,208,215,241,194,205,237,168,193,216,211,211,210,208,208,207,189,191,194,198,200,202,205,206,208,209,210,210,226,220,200,242,193,213,233,160,193,217,211,212,212,210,210,209,190,193,197,199,202,204,206,208,209,210,208,217,253,234,173,176,180,212,229,160,198,218,214,213,213,212,211,210,192,195,198,200,203,206,208,210,209,213,243,236,190,209,197,165,155,185,207,162,203,219,215,214,214,213,212,211,193,196,199,201,204,208,210,212,208,229,238,232,217,196,219,227,192,147,170,156,208,219,216,215,215,215,213,212,194,197,200,203,206,209,210,213,210,232,216,164,194,149,184,235,204,150,140,144,209,220,218,217,217,216,215,214,195,198,201,204,207,210,211,214,211,235,208,158,150,130,129,210,231,179,136,136,209,222,219,219,218,218,217,215,196,198,202,205,208,210,212,215,212,237,228,203,170,148,145,175,251,208,149,130,211,224,221,220,219,219,219,216,197,199,203,207,209,211,214,216,213,244,239,190,162,155,168,176,252,231,171,127,204,227,221,221,221,220,220,218,198,200,205,208,210,213,215,217,215,246,228,185,168,171,176,208,254,234,189,135,198,228,222,223,222,222,221,219,199,201,205,208,210,213,216,218,217,246,237,200,183,185,192,241,254,225,192,139,198,230,224,225,223,222,222,221,199,203,206,208,211,214,217,220,217,246,244,213,186,198,212,254,252,219,186,143,199,233,225,225,224,224,223,222,199,202,205,209,212,214,217,221,218,245,250,221,197,201,230,254,242,215,183,141,201,233,225,226,225,224,224,224,199,203,206,209,211,214,218,221,217,243,252,223,213,204,240,253,231,210,176,136,198,233,225,226,225,224,224,223,202,205,209,210,213,216,219,222,220,237,254,230,228,214,234,248,224,205,175,130,197,234,225,226,226,225,226,222,202,205,207,210,214,217,219,223,222,229,252,238,233,226,217,234,209,199,167,127,200,235,227,228,228,225,226,229,202,205,209,211,214,216,219,222,223,223,248,246,233,216,201,214,194,198,164,128,215,233,227,229,227,232,226,194,205,207,210,214,216,218,220,224,231,230,247,245,222,194,181,198,192,194,151,140,233,230,229,228,234,216,157,127,196,201,205,208,212,216,220,219,187,165,233,236,202,180,172,202,191,184,127,183,247,234,235,239,213,146,128,122,153,155,157,158,160,161,164,170,116,59,197,242,209,179,179,214,176,159,112,128,184,188,189,191,145,121,120,111,133,137,140,141,138,137,139,150,157,110,149,226,205,180,193,214,153,136,94,71,120,138,140,147,129,108,104,107
8,68,76,82,88,91,95,98,100,102,104,107,109,110,113,116,117,119,121,121,122,122,123,125,127,127,128,127,127,70,77,82,88,92,96,100,101,102,110,97,100,113,114,116,118,120,121,122,123,123,125,127,128,128,128,128,128,72,79,84,89,94,99,103,101,110,134,78,66,120,114,116,119,122,122,124,124,127,129,127,128,128,129,128,129,72,80,86,92,95,99,103,98,122,125,59,61,122,115,118,121,123,123,124,127,129,127,131,130,129,129,130,130,75,79,88,94,96,100,103,99,138,103,43,80,123,116,118,121,124,125,126,128,129,130,110,126,132,129,131,131,78,81,89,94,97,102,102,108,142,84,41,97,122,119,122,122,124,127,130,127,139,129,49,97,140,130,132,133,79,83,90,93,96,103,101,121,141,85,46,113,121,120,122,125,130,128,130,128,150,120,34,92,143,133,135,134,79,84,90,95,100,105,99,131,134,79,51,118,115,122,125,115,107,125,130,115,148,123,53,85,145,134,136,135,79,86,92,97,101,105,98,142,126,66,64,119,88,97,132,112,76,77,125,98,146,130,93,61,131,139,137,138,81,88,96,97,99,106,102,153,131,81,127,125,91,78,129,114,71,66,116,88,118,144,104,53,88,146,136,140,82,89,95,97,102,107,107,161,127,109,166,129,86,81,126,101,55,69,108,66,123,153,106,55,68,150,137,141,82,89,95,100,104,104,116,153,115,89,162,142,74,88,125,85,41,67,95,59,149,148,107,50,82,152,139,142,84,90,95,98,102,103,119,146,129,101,143,134,56,102,120,72,42,45,85,60,150,136,97,42,88,153,141,144,84,91,98,99,106,102,128,150,141,134,142,129,79,99,132,89,38,47,82,92,143,114,82,38,100,153,142,145,85,90,97,100,104,104,149,141,135,118,131,142,101,112,150,101,37,68,106,129,135,102,71,38,115,151,143,145,83,91,97,103,102,114,149,110,107,96,107,118,78,111,108,67,96,133,133,110,114,100,70,35,119,152,143,145,85,91,97,102,101,133,147,112,99,88,70,67,62,66,99,134,150,133,126,97,84,86,67,31,124,152,144,147,86,93,98,103,99,157,146,123,106,82,69,65,70,123,172,172,142,126,112,83,66,66,52,41,147,149,147,149,86,94,99,102,112,169,146,128,105,84,71,52,106,174,171,164,141,114,96,71,56,59,33,81,157,146,148,149,88,95,101,97,133,174,142,127,108,95,78,85,158,167,165,153,127,101,82,62,47,51,30,129,154,148,150,151,88,95,104,94,148,176,141,125,116,107,99,138,162,160,154,141,114,90,73,53,45,42,36,143,154,148,151,153,89,95,104,95,162,173,143,134,128,120,138,158,166,149,133,125,102,80,65,47,45,34,55,154,150,150,152,152,90,96,104,96,169,175,145,135,123,127,155,165,161,134,120,112,91,72,56,44,43,26,106,157,150,154,153,152,91,97,105,98,161,178,153,138,125,127,152,158,140,122,110,100,81,62,49,43,29,71,153,149,152,152,153,154,89,96,104,98,154,178,155,144,128,124,141,143,133,121,102,95,75,56,46,33,57,147,151,151,152,153,153,154,90,97,104,100,142,167,139,134,123,124,131,139,137,123,104,94,74,52,34,35,132,154,150,152,152,154,154,155,90,97,105,101,132,150,139,132,134,135,121,128,130,114,97,85,65,39,20,105,154,148,151,152,153,153,154,155,91,98,105,102,129,156,150,142,145,137,118,119,126,111,89,76,56,20,58,150,148,151,152,153,154,154,155,155
19,208,210,211,213,215,216,216,216,216,216,216,217,216,216,216,215,214,213,212,212,212,211,210,209,208,206,206,207,209,209,211,213,215,216,217,217,217,216,217,218,216,217,217,216,215,214,214,214,213,210,210,211,209,208,209,207,210,210,212,213,215,217,220,218,219,218,218,217,217,217,219,217,216,215,215,216,214,212,212,213,211,210,210,209,210,212,214,216,216,217,219,218,219,220,220,219,217,219,219,218,217,217,216,216,216,214,214,212,212,210,210,209,211,213,214,216,218,218,219,221,222,219,218,221,223,218,219,219,218,218,216,216,217,217,216,214,212,211,210,210,212,217,216,218,221,222,222,221,224,227,204,179,205,226,220,222,220,219,218,217,218,217,217,215,213,212,212,211,215,217,219,220,221,223,223,223,223,255,234,194,144,204,228,221,222,220,219,219,218,218,218,216,214,214,212,211,215,216,218,220,221,223,224,228,218,248,255,223,161,128,224,223,224,221,220,221,220,218,219,217,215,215,214,213,218,219,219,223,224,225,227,226,225,231,255,229,176,103,178,235,221,224,221,220,220,218,217,217,216,215,215,213,219,220,221,225,225,226,228,229,222,230,253,218,167,107,142,238,222,224,222,220,221,219,218,217,216,217,216,215,218,221,224,226,226,228,231,228,239,255,244,209,191,140,152,225,223,229,228,224,222,220,221,220,218,217,216,216,220,222,226,227,230,230,229,228,255,255,226,203,215,229,222,208,198,201,208,220,227,224,224,219,220,219,216,217,222,225,226,229,230,232,224,255,255,234,179,152,179,227,248,246,232,217,188,190,194,212,220,225,220,218,217,217,224,229,227,229,230,229,242,255,255,242,206,148,127,169,215,234,242,242,227,213,202,207,194,195,211,223,222,217,227,229,228,231,234,228,255,255,250,230,209,203,177,165,173,184,192,208,223,236,242,247,226,186,178,174,209,223,226,228,228,232,231,242,255,255,218,189,189,180,212,217,196,181,163,144,156,178,192,220,235,224,204,163,158,198,225,228,232,235,233,255,255,255,218,185,176,167,176,219,228,217,194,153,127,180,202,194,194,194,193,194,188,198,228,231,231,230,247,255,255,255,222,203,205,207,200,180,191,211,208,178,158,150,227,234,222,208,195,189,185,187,229,230,233,231,255,255,255,241,212,210,226,224,224,199,123,169,172,178,181,146,205,238,231,232,231,224,215,210,230,232,230,251,255,255,255,224,190,164,204,241,242,237,148,170,143,143,146,166,231,233,232,231,230,230,229,228,230,229,236,255,255,255,255,220,186,167,152,194,209,225,217,189,161,153,142,225,236,232,232,232,229,229,227,226,230,228,253,255,255,255,255,212,198,196,196,182,152,182,234,205,179,148,209,243,232,233,234,233,229,227,226,224,232,233,255,255,255,255,253,220,209,203,202,191,178,171,170,170,160,190,240,235,235,234,233,230,231,230,227,226,227,249,255,255,255,255,249,230,213,214,210,191,169,161,165,135,202,242,237,235,236,235,234,233,231,229,228,227,226,255,255,255,255,255,235,217,193,194,203,192,179,172,158,189,251,239,237,235,237,237,235,235,232,230,231,229,232,255,255,255,255,254,235,196,158,141,149,166,164,169,191,236,243,241,240,238,237,236,237,236,234,232,231,230,249,255,255,254,252,229,195,161,140,111,183,234,218,229,245,242,242,241,242,240,238,236,235,235,233,231,229,228,255,255,244,237,223,192,162,146,138,123,233,253,249,247,243,243,244,243,241,239,237,235,235,235,231,231,230,228
4,146,149,150,151,151,152,154,154,154,153,156,156,155,157,157,156,156,154,156,156,156,155,156,155,155,156,154,153,149,151,151,152,153,155,155,155,157,156,156,156,158,158,158,158,160,162,158,158,158,158,158,158,157,158,158,157,152,153,153,154,156,157,158,158,158,158,157,156,156,160,163,149,123,134,163,160,162,158,160,160,160,160,160,160,154,153,154,156,158,158,159,159,158,157,161,141,122,136,192,160,121,67,152,167,162,167,160,163,161,160,161,162,156,156,158,159,159,161,160,161,162,166,194,159,148,107,184,174,136,87,96,137,121,135,170,163,165,162,164,164,158,159,159,162,163,162,161,160,149,154,192,191,148,110,141,188,131,98,39,126,119,70,141,172,165,167,166,166,159,161,160,164,166,163,163,173,166,153,116,178,169,121,110,190,140,96,33,131,133,78,67,177,168,169,169,169,160,162,164,165,167,162,170,191,181,167,82,86,176,113,81,188,151,92,26,131,137,86,43,164,172,170,170,171,163,165,165,166,167,164,176,166,158,148,72,56,138,109,76,139,122,67,27,139,133,79,39,163,177,172,172,173,164,167,168,169,169,167,177,167,136,148,67,36,137,121,92,94,74,29,23,135,111,50,53,175,176,173,174,174,165,167,168,170,171,167,173,176,124,137,89,43,117,136,130,112,112,78,34,92,79,38,57,183,173,177,175,175,166,167,169,170,173,172,173,192,166,122,103,48,61,151,162,164,149,129,74,38,57,35,75,189,174,178,177,177,169,169,172,173,175,174,175,192,170,129,79,32,26,110,155,163,162,126,75,29,36,28,99,193,176,177,177,179,169,170,173,175,176,172,177,190,146,100,79,56,33,19,86,145,149,118,80,46,34,25,116,194,178,179,179,179,171,173,175,175,174,171,181,182,140,103,76,55,37,35,40,72,126,125,103,60,39,19,121,192,178,181,180,179,173,174,175,176,176,174,183,191,159,119,89,70,56,47,72,52,124,157,123,79,50,18,132,193,180,182,182,180,173,174,175,177,177,175,186,189,157,104,75,69,56,43,80,128,172,176,153,107,67,22,121,197,181,182,182,182,173,175,175,177,178,177,188,188,148,110,84,68,76,61,109,175,192,180,173,123,80,41,72,198,181,185,184,184,175,176,177,178,180,179,188,183,151,112,92,80,105,74,142,195,199,177,151,112,81,49,74,198,183,186,185,186,176,176,177,179,181,181,189,181,154,116,103,106,104,93,169,196,190,172,143,97,76,39,105,201,186,188,186,186,176,177,179,180,180,180,183,179,151,125,114,111,99,101,178,195,174,146,129,81,60,33,141,197,187,188,185,186,177,179,180,180,181,182,181,175,145,121,101,125,97,102,178,191,157,124,108,70,49,42,175,192,187,187,184,186,177,179,182,181,184,184,179,171,150,121,126,146,92,103,184,179,143,110,87,59,43,72,197,188,190,190,189,188,177,181,181,181,185,185,182,165,151,133,124,145,101,103,186,151,126,96,70,54,35,121,203,189,191,191,191,191,178,179,180,181,183,185,183,171,158,137,120,139,105,109,170,133,111,77,60,52,38,165,198,191,192,191,190,191,177,177,178,178,181,181,175,187,170,139,120,117,96,91,158,123,89,69,55,46,58,189,191,191,192,191,191,192,177,178,178,179,182,172,177,196,168,135,116,95,74,83,130,98,68,61,55,33,114,199,190,191,191,192,192,191,177,179,180,182,183,168,190,185,166,150,122,82,77,98,124,66,68,54,47,62,180,193,191,191,191,190,191,190
7,78,106,124,132,140,146,151,151,153,157,161,163,163,164,165,166,167,167,167,165,163,163,161,160,159,156,154,153,80,109,125,134,141,147,151,153,155,159,163,164,165,165,166,167,169,169,168,166,166,164,163,161,160,158,156,155,83,112,126,136,142,148,152,155,157,161,164,164,167,168,169,170,171,171,171,169,168,166,165,164,162,160,159,157,84,112,127,137,145,150,154,157,160,163,164,165,168,171,171,172,172,171,171,171,171,168,167,167,166,163,162,159,84,113,127,137,146,151,155,157,161,164,165,167,170,172,172,172,172,172,173,172,172,172,172,170,166,165,163,160,86,115,127,139,146,152,156,157,161,163,166,168,172,175,177,178,180,180,178,176,173,168,163,162,168,168,166,162,86,114,128,138,146,153,157,161,165,169,173,171,170,165,157,147,131,128,123,128,110,97,132,135,127,170,165,165,88,116,129,140,147,152,156,145,135,128,127,124,116,99,93,99,66,78,84,76,77,79,130,125,95,174,171,166,91,118,130,141,147,157,138,98,88,97,99,106,103,91,80,69,64,66,69,64,70,64,64,57,90,143,161,171,92,119,127,140,154,150,124,81,69,78,76,78,80,82,84,88,89,67,74,87,78,72,66,58,64,94,95,159,93,118,134,146,146,130,114,87,67,64,77,90,101,105,104,97,85,53,61,86,69,55,54,43,53,83,62,146,91,134,144,140,130,124,121,107,101,103,110,116,102,99,94,86,60,44,44,46,38,35,36,37,43,60,104,171,135,148,138,136,136,132,111,80,67,74,88,86,77,72,56,42,36,58,80,105,124,141,152,158,166,171,177,174,157,145,143,142,135,111,97,49,40,59,56,39,28,52,115,143,162,176,189,195,193,191,189,186,183,179,175,174,151,147,145,131,105,100,81,41,36,29,13,0,6,21,54,73,178,191,183,183,183,182,181,181,180,177,176,174,149,150,134,113,100,91,83,73,48,21,19,24,22,15,5,0,96,201,182,187,186,185,184,183,183,180,176,175,151,138,111,99,92,88,103,108,69,26,24,28,27,24,25,2,102,203,185,187,185,186,185,184,183,180,178,175,132,110,89,87,85,83,89,84,42,17,15,9,15,17,18,0,54,198,187,188,188,188,185,184,182,182,180,175,102,91,85,84,77,65,67,51,24,7,0,2,21,24,20,1,90,193,187,189,189,188,185,183,182,181,179,176,95,91,87,80,67,47,38,41,37,18,16,33,35,26,2,109,202,188,189,189,188,187,185,183,183,182,179,176,86,73,63,55,46,42,49,65,56,31,21,14,15,20,92,188,186,187,187,186,186,185,184,183,181,180,177,174,75,63,60,57,53,54,59,64,42,11,34,86,125,166,190,183,183,185,184,184,184,183,183,182,180,178,175,174,71,66,66,60,50,44,38,27,21,81,162,188,190,185,182,184,185,185,185,184,184,184,183,182,181,180,176,174,42,47,43,38,32,28,44,90,140,180,180,176,179,180,182,184,185,185,184,184,184,183,182,181,180,179,175,174,3,0,38,96,98,122,151,168,169,167,172,176,179,181,181,181,182,183,183,183,184,182,183,182,179,177,174,172,0,0,81,164,157,165,165,164,168,174,177,181,183,184,186,186,186,184,185,184,181,180,180,178,174,173,173,171,0,0,92,128,113,114,113,113,112,113,111,106,105,107,107,106,102,98,98,96,92,89,87,83,79,74,47,36,0,0,53,60,59,63,61,61,64,63,60,61,61,63,63,60,59,58,56,57,57,56,54,51,50,12,0,0
17,147,149,152,153,155,156,157,158,159,160,161,162,163,164,166,166,167,168,168,168,169,170,170,170,170,171,171,171,148,150,152,154,155,156,157,159,160,161,162,163,164,165,167,168,169,170,170,170,170,171,170,171,171,171,172,172,148,150,152,155,156,157,158,160,161,162,163,165,165,166,168,169,170,169,168,168,166,169,172,172,172,172,173,173,149,150,153,156,157,158,159,161,162,163,164,166,167,168,169,170,171,165,151,147,139,151,172,174,174,173,173,173,150,151,154,156,158,159,161,162,164,165,166,167,168,170,171,172,173,170,142,116,108,132,171,175,175,174,174,174,151,152,155,157,159,161,162,163,165,166,168,168,169,170,172,172,175,180,152,110,93,132,172,175,176,176,175,175,152,153,156,158,160,162,163,164,165,167,168,169,170,171,172,173,175,184,163,121,94,139,175,176,177,176,175,175,152,154,156,158,160,162,164,165,166,167,169,170,170,171,173,174,176,186,172,133,107,152,177,177,177,177,176,175,153,155,157,159,161,163,164,166,167,168,169,170,163,157,168,175,178,189,173,139,120,163,178,178,177,178,178,177,154,156,158,160,162,164,165,167,168,169,170,172,161,140,146,168,179,189,171,138,124,165,179,179,179,179,179,178,155,157,159,160,162,164,166,167,168,165,164,173,168,151,140,149,160,177,168,138,123,165,180,180,180,180,179,179,156,157,159,161,163,164,166,172,174,155,139,160,175,175,168,146,123,139,153,136,123,163,180,181,181,181,180,179,156,157,160,163,164,165,167,178,177,154,133,150,162,175,183,162,123,110,129,126,118,161,181,181,181,181,180,180,156,158,161,163,165,166,170,176,164,158,141,135,129,139,181,178,142,105,107,110,111,158,182,182,182,181,180,181,157,159,161,163,165,167,172,176,150,137,127,106,95,105,171,190,160,114,95,97,104,155,182,183,183,182,182,181,157,159,162,164,166,168,175,173,146,130,125,107,101,110,164,197,172,128,96,94,100,150,182,183,183,183,183,182,157,159,162,165,167,168,179,177,158,143,133,120,124,132,162,198,177,140,103,93,99,146,182,183,183,184,184,183,157,159,162,165,167,170,183,173,151,140,133,130,141,156,179,191,174,146,108,89,94,145,182,184,184,184,184,183,158,160,162,166,168,174,184,165,145,136,133,139,152,183,200,184,165,143,107,85,90,145,183,185,185,184,184,184,158,160,163,166,168,177,188,168,149,137,136,145,169,201,201,181,157,136,105,84,91,150,183,184,185,184,184,184,159,161,165,167,169,181,192,172,155,140,139,154,187,204,194,175,150,130,101,84,98,161,184,184,185,185,184,184,159,162,165,167,169,185,194,176,162,147,143,166,199,202,189,169,142,123,98,85,115,173,185,185,185,185,185,184,160,163,166,168,169,188,197,179,169,159,149,173,202,196,185,167,138,116,95,89,138,182,186,186,185,185,184,184,161,164,167,168,170,190,201,184,176,169,158,174,196,188,179,164,136,109,92,102,162,185,186,186,185,185,185,184,162,164,167,168,170,186,202,189,180,173,164,170,188,183,177,160,133,105,90,122,178,186,186,185,185,185,185,185,161,164,166,169,170,182,201,192,180,170,166,168,180,178,176,163,130,102,91,137,183,186,186,186,186,186,186,185,161,164,166,169,171,179,197,189,177,167,165,168,174,172,176,163,129,101,96,151,186,186,186,186,186,186,186,186,162,164,166,169,171,179,196,186,176,166,162,167,172,169,174,159,126,101,106,165,187,187,187,187,187,186,186,186
12,146,150,154,158,161,164,167,169,172,173,174,174,175,178,177,174,174,177,180,172,174,172,172,173,172,171,170,168,147,151,155,159,161,166,169,171,173,174,175,177,176,168,166,181,178,147,149,181,176,177,177,173,174,173,172,170,148,151,156,160,163,166,169,173,173,176,179,175,190,173,135,148,192,168,113,137,165,133,157,180,175,175,174,173,150,154,157,162,165,168,171,173,175,178,178,178,212,209,180,123,132,205,166,91,105,137,97,168,180,176,176,173,152,156,159,163,166,171,173,175,176,179,174,202,193,197,195,141,75,157,170,101,56,123,101,101,186,176,177,176,154,157,160,164,168,172,174,177,180,179,175,213,160,180,195,127,71,143,154,97,58,96,105,62,174,180,177,177,156,159,163,166,171,174,176,180,179,182,185,137,110,184,171,112,62,151,144,86,63,106,91,68,180,179,179,178,157,162,165,169,172,176,180,178,189,211,189,113,70,123,161,133,51,135,179,107,66,134,98,86,190,178,179,179,160,164,167,171,174,178,177,195,211,203,192,135,71,75,172,128,38,142,191,98,75,176,99,122,194,180,181,180,162,165,169,173,178,178,193,212,167,169,202,141,71,31,124,111,12,72,174,85,62,149,100,170,189,184,183,182,164,168,173,176,180,180,208,203,169,145,183,130,76,28,44,47,43,76,90,107,113,122,68,154,195,183,184,184,166,171,174,179,180,190,198,167,139,101,162,131,79,34,42,48,141,193,151,147,126,113,89,98,197,185,185,184,167,173,177,181,183,186,206,176,148,87,136,132,76,40,55,107,170,184,172,144,113,83,100,77,179,192,186,186,170,176,179,183,183,188,208,181,153,106,108,135,104,47,85,158,182,177,169,147,112,82,78,76,187,191,188,187,173,177,181,186,185,199,213,189,164,132,89,124,123,60,157,191,186,179,175,130,104,82,47,119,203,188,187,185,177,181,185,188,188,207,215,197,173,141,109,99,97,129,196,193,194,192,162,111,97,70,54,182,194,194,199,197,179,183,186,190,189,210,211,201,180,148,135,117,114,165,180,189,199,185,139,102,93,46,111,218,198,179,145,110,182,186,189,192,192,204,206,206,186,158,151,131,124,159,164,192,197,169,122,95,81,48,152,137,87,50,30,27,185,190,191,194,196,196,210,207,189,168,163,142,128,168,160,195,188,146,107,85,69,45,42,23,19,21,24,21,188,192,194,197,201,194,207,201,187,173,169,150,132,166,178,173,164,125,93,76,59,23,19,20,22,18,23,14,191,194,198,200,204,197,201,202,188,174,163,152,142,154,176,153,134,107,84,73,32,5,25,22,9,12,26,20,192,195,198,201,205,195,195,207,189,172,160,147,133,139,160,142,118,97,77,62,20,0,14,30,12,2,16,26,193,196,199,201,208,194,198,204,180,164,157,145,126,137,151,132,99,88,70,38,34,0,0,21,26,5,5,20,195,198,202,205,210,196,201,199,162,150,153,137,124,140,138,118,84,75,28,13,35,17,0,5,23,18,0,7,196,200,203,206,211,193,201,207,162,159,162,147,135,142,124,102,79,53,7,0,23,30,0,0,12,24,10,0,198,202,205,206,215,174,196,210,171,179,176,152,133,137,114,96,72,30,18,0,9,28,5,0,0,19,20,0,203,206,210,209,228,116,173,216,190,203,181,144,135,135,108,90,60,20,16,1,0,18,16,0,0,11,21,11,172,177,182,186,200,78,99,208,190,197,165,132,140,134,103,87,45,27,12,3,0,12,19,0,0,2,18,17
7,139,142,144,146,149,151,153,154,156,158,159,160,162,163,164,164,165,165,166,167,167,167,167,167,167,167,166,166,140,143,145,147,150,151,153,155,157,159,160,161,163,163,164,165,165,166,167,167,167,167,168,168,168,168,167,167,142,144,146,148,151,153,154,156,158,159,160,162,163,164,164,165,166,167,167,168,168,168,168,168,168,168,167,167,143,145,147,150,153,154,156,158,159,160,162,162,164,165,165,166,166,167,168,169,169,169,169,169,169,169,168,167,144,146,149,152,154,156,158,159,160,162,164,165,165,166,166,167,168,168,169,170,170,170,170,170,170,170,169,168,145,147,150,153,155,157,159,161,163,164,166,167,167,168,168,168,168,169,169,170,169,169,169,170,168,170,171,169,145,147,150,153,155,158,160,162,164,166,168,168,168,169,168,164,160,160,162,163,161,157,157,165,153,163,171,170,147,149,151,154,156,159,161,163,164,165,167,168,168,165,158,152,147,139,141,145,146,141,140,144,131,152,164,162,149,151,153,155,158,160,161,163,161,159,162,164,166,160,153,150,143,131,131,133,136,133,130,127,123,139,144,139,150,152,154,156,159,161,164,163,149,144,150,155,156,150,144,139,129,123,120,117,119,120,117,115,115,119,125,139,151,152,155,158,160,164,171,162,141,137,138,134,126,117,116,116,112,111,116,122,124,125,127,131,136,143,153,167,151,153,156,159,163,174,177,165,149,132,123,112,102,94,99,113,124,142,159,166,167,167,168,171,173,175,176,177,152,154,157,162,174,182,178,172,156,128,116,113,113,111,110,117,134,161,178,180,180,180,180,179,179,179,179,179,153,155,159,171,182,180,176,168,151,129,117,109,111,115,111,102,100,126,172,181,181,182,181,181,181,180,181,181,154,157,167,179,180,175,168,157,144,132,118,99,93,101,105,101,95,108,167,183,183,183,183,182,182,181,182,182,154,165,178,180,172,163,157,150,142,133,119,98,86,87,87,87,88,108,169,184,184,184,184,183,183,182,182,182,165,176,178,174,166,157,153,149,146,139,123,104,95,93,84,73,75,105,170,185,185,184,184,184,183,183,183,182,177,176,170,167,162,155,151,147,144,138,125,110,102,99,93,85,79,93,147,180,185,185,186,185,185,185,184,183,174,170,166,162,157,152,146,141,141,134,118,104,95,92,94,92,83,70,94,153,185,186,187,187,187,186,185,183,169,166,160,157,153,148,141,139,137,123,103,86,74,68,78,87,84,70,85,143,185,187,187,187,187,187,186,185,166,162,156,151,146,143,143,136,121,105,88,69,59,55,59,80,87,93,125,169,187,188,188,188,188,188,187,187,161,157,150,144,144,143,137,122,106,92,80,70,70,68,66,82,105,147,177,187,189,189,188,188,188,188,188,188,150,146,139,139,139,133,120,106,95,88,95,109,119,119,100,113,154,182,189,190,190,190,190,189,189,189,189,188,131,129,125,125,121,112,103,95,95,113,149,170,178,178,164,168,186,190,191,191,191,191,191,190,189,189,188,188,115,109,105,102,99,96,99,110,135,164,181,185,187,188,188,189,191,192,192,192,192,192,192,190,190,189,189,189,108,96,88,84,87,106,138,161,176,181,184,187,188,189,190,191,192,193,193,193,193,193,192,191,191,190,190,190,105,90,78,82,119,153,174,180,182,183,186,188,189,190,191,192,193,194,194,193,193,193,193,193,193,191,191,191,106,90,76,90,152,175,179,181,184,185,187,189,190,191,192,193,194,195,195,194,194,194,194,193,193,193,192,192
6,166,168,169,171,173,173,174,175,175,176,176,174,174,174,174,174,174,173,173,173,172,170,170,170,169,169,168,166,166,168,170,172,173,175,175,175,177,177,178,177,176,176,175,175,175,175,174,173,173,172,173,172,171,170,169,168,167,170,172,173,174,175,177,177,178,178,178,178,179,178,177,176,176,176,175,174,174,173,174,173,172,172,171,170,168,170,172,174,175,177,178,179,179,179,178,179,179,180,180,180,179,178,178,176,176,174,172,173,175,173,173,172,169,172,174,175,177,178,179,180,180,180,181,180,180,176,169,167,168,170,165,167,159,158,183,160,160,178,173,173,171,174,175,177,179,180,181,182,180,181,180,178,176,169,157,154,164,173,166,167,157,156,187,146,140,181,174,174,173,174,176,178,180,181,182,182,183,185,190,190,187,178,167,159,161,163,159,154,153,140,138,134,165,179,176,175,173,175,177,179,179,180,180,184,193,193,190,178,167,151,141,125,122,125,133,138,142,150,161,174,180,178,178,176,173,175,177,177,187,193,181,181,181,175,164,157,151,139,136,128,119,159,172,177,181,184,184,182,179,179,179,178,173,175,178,176,203,194,174,171,167,173,179,178,168,161,160,163,124,152,191,182,183,182,182,182,181,180,180,179,173,176,178,181,195,171,164,170,175,181,186,183,176,169,161,148,116,123,189,184,185,184,183,183,182,180,180,179,174,177,176,193,200,169,164,166,171,176,179,180,171,157,154,138,105,107,178,187,184,184,184,183,182,182,181,180,176,179,177,197,181,170,174,170,171,173,179,181,169,150,154,149,105,96,157,192,183,184,184,184,184,184,182,180,176,179,178,192,184,186,180,180,181,186,190,181,169,162,159,139,111,98,146,193,184,185,185,184,184,183,182,181,177,179,179,189,205,202,178,177,178,178,175,171,164,155,139,118,111,104,137,192,185,186,185,185,185,185,183,181,178,180,180,188,211,203,181,173,164,148,146,155,153,152,150,110,105,109,150,193,186,187,186,186,185,184,184,182,178,180,179,191,202,197,186,171,158,161,175,177,163,157,164,125,94,128,188,188,187,187,187,186,186,186,184,183,178,181,179,193,196,199,195,172,168,180,185,169,158,151,144,124,105,149,194,187,187,187,187,187,186,186,185,184,179,182,180,193,199,193,190,176,171,176,175,166,154,142,126,115,111,167,194,189,188,187,188,188,187,187,185,184,179,182,180,192,199,193,186,177,171,170,158,148,132,118,113,109,126,185,191,190,189,189,188,188,187,186,185,184,179,183,179,187,195,196,184,171,161,151,132,116,97,92,102,136,182,192,190,190,190,191,189,188,187,187,185,185,178,182,178,184,192,184,167,157,148,132,114,101,90,102,124,186,195,190,190,191,191,190,189,189,188,186,185,185,178,181,178,179,188,171,158,156,150,123,111,109,97,108,161,194,189,191,190,190,188,187,188,189,187,186,185,183,178,182,175,173,183,162,160,161,139,118,113,115,103,145,193,191,191,191,191,190,189,188,188,187,187,185,184,183,178,181,172,169,179,156,165,161,133,118,112,117,138,190,192,191,191,191,191,190,189,188,188,187,186,186,185,184,178,183,170,171,174,159,168,158,133,117,113,119,175,196,190,192,192,191,190,190,189,189,189,188,187,186,185,184,177,183,164,176,177,158,163,148,124,113,116,126,184,193,191,192,192,191,190,189,190,189,189,189,188,186,185,184,177,179,160,183,171,153,151,132,117,113,117,139,193,190,190,189,190,189,188,189,188,187,188,187,187,186,186,184
5,157,158,157,158,159,159,158,158,158,157,157,157,156,155,154,153,152,150,148,147,146,146,145,143,141,142,140,140,162,162,161,161,162,162,161,162,163,160,159,159,158,157,157,156,155,153,151,149,150,149,146,144,143,143,142,142,166,166,167,166,165,166,166,165,166,165,164,163,162,162,157,159,157,152,156,152,151,151,150,147,146,145,142,141,169,169,169,168,167,171,170,169,168,168,167,166,164,160,161,180,118,129,164,155,154,152,151,150,149,146,145,142,171,172,173,172,175,161,169,175,171,171,170,167,171,164,147,108,82,150,162,157,158,157,155,152,151,149,148,145,175,177,179,174,198,130,134,186,175,174,171,183,174,117,92,118,156,167,163,161,160,160,157,156,155,152,150,148,180,180,181,179,194,106,132,190,179,171,180,176,111,100,172,182,176,171,167,167,169,164,160,159,157,155,152,151,184,183,183,185,178,101,159,191,175,157,149,104,107,156,125,126,126,127,126,122,146,161,165,163,160,157,156,155,187,187,187,188,160,105,180,192,175,133,94,101,179,100,84,96,117,131,133,131,127,148,122,159,164,161,159,158,190,190,190,190,175,105,161,198,168,123,93,117,131,89,95,88,96,97,86,98,106,105,110,166,165,163,161,159,193,193,193,194,180,107,146,205,158,119,96,93,104,104,77,60,57,55,59,66,69,72,142,173,170,165,163,162,195,195,196,195,173,120,103,192,158,108,76,75,89,83,60,65,77,72,88,89,114,132,121,107,164,173,165,164,197,199,199,201,163,135,127,127,129,110,90,74,68,50,60,86,64,95,134,139,159,137,126,119,117,167,170,166,200,199,201,203,198,153,152,137,108,114,99,72,71,60,63,63,103,189,195,191,186,160,165,158,113,170,172,169,202,202,202,202,206,191,153,169,162,128,86,65,59,71,57,126,197,191,186,188,159,156,164,112,145,182,171,171,204,204,204,206,204,210,183,174,175,144,104,60,61,54,88,211,196,190,196,171,135,162,129,106,183,178,176,174,205,205,207,207,207,208,204,171,182,156,114,64,62,57,99,176,188,205,184,153,146,141,77,153,190,179,179,176,206,207,207,208,209,210,208,180,187,165,123,75,62,82,79,96,120,150,142,147,142,85,121,193,184,183,181,178,208,208,209,209,210,210,210,176,192,175,128,85,64,81,84,99,123,105,119,142,95,118,199,187,185,184,182,179,208,209,211,210,210,210,212,176,195,174,128,101,68,74,85,98,120,123,101,94,105,197,193,189,187,185,183,180,212,211,212,213,212,212,213,177,198,174,135,114,74,69,88,104,116,109,76,73,188,199,193,192,189,187,185,183,214,213,214,214,214,215,212,181,192,171,141,115,78,65,90,102,106,85,66,177,205,196,195,194,192,189,187,184,215,214,215,216,215,216,214,182,180,164,139,116,80,63,87,90,90,53,130,216,197,200,197,196,195,191,189,186,216,215,216,216,217,218,214,181,177,163,136,116,79,65,81,88,69,71,201,205,203,201,199,198,196,192,189,188,217,217,217,217,217,220,210,183,180,161,136,112,79,66,76,69,54,170,214,204,205,202,201,199,196,193,191,189,218,218,218,218,220,222,206,190,183,165,143,104,72,65,55,57,166,219,206,207,205,203,201,200,197,195,193,190,217,217,217,219,220,219,201,189,180,168,137,91,67,53,92,194,219,210,209,208,207,205,202,201,199,195,194,192,216,217,217,218,218,213,189,171,175,159,122,80,65,65,201,221,207,212,209,207,206,204,201,200,199,196,194,193
4,189,193,196,198,201,204,206,209,210,212,212,213,216,216,216,217,216,216,213,214,214,213,213,212,212,211,211,210,190,194,197,200,203,205,207,210,212,214,214,218,219,216,214,214,221,217,217,216,216,214,214,213,213,212,212,211,192,196,199,202,205,206,209,212,213,213,213,208,215,231,213,169,181,224,218,218,217,216,216,214,215,214,212,212,193,197,199,203,206,210,211,214,212,229,221,182,171,251,222,173,125,225,225,222,219,219,217,217,217,216,215,215,195,199,203,205,208,211,212,212,207,255,246,198,141,220,228,174,117,168,188,201,226,219,219,219,218,217,216,216,196,200,205,207,209,208,221,239,218,191,245,221,155,191,237,175,96,116,174,135,192,228,219,221,220,218,217,217,197,200,205,208,211,212,248,255,224,141,217,225,148,163,222,159,92,125,179,141,114,224,223,222,220,220,218,217,197,201,206,210,211,215,243,233,214,137,199,203,140,131,185,146,88,146,189,146,98,212,227,222,221,221,220,219,198,204,207,209,211,212,242,215,217,141,181,191,136,103,154,133,101,205,196,134,99,216,228,222,221,223,221,219,199,204,207,210,213,213,247,207,197,183,164,196,173,108,138,112,111,204,164,102,99,227,226,222,222,223,222,220,201,205,209,212,214,215,255,241,202,157,120,211,191,185,172,161,164,188,177,124,101,232,228,225,225,224,223,221,202,205,211,212,213,220,255,234,198,149,112,130,135,200,177,193,213,226,217,150,120,235,228,228,225,225,225,223,202,207,211,213,213,228,255,210,168,143,122,106,98,136,179,191,205,213,198,148,115,224,229,228,226,225,225,225,203,207,211,215,211,237,255,213,175,138,113,110,121,121,147,165,165,174,181,161,104,191,238,227,227,225,226,226,203,207,211,215,211,242,255,218,175,142,124,119,127,153,145,151,177,186,197,175,115,152,244,227,228,227,226,226,204,208,212,216,214,249,251,211,165,135,127,119,121,162,159,198,224,225,229,190,138,109,228,232,229,229,227,226,205,209,213,217,216,251,249,210,168,141,128,127,130,159,178,233,245,237,242,204,152,93,186,243,230,232,229,228,206,209,213,218,217,249,240,210,174,156,143,133,133,156,228,243,248,228,221,190,146,93,178,245,230,232,230,229,206,208,212,217,216,246,234,211,181,158,142,137,141,202,255,251,236,217,189,164,122,103,220,237,231,232,230,229,205,207,212,216,215,243,242,214,170,146,138,147,169,243,255,246,217,192,164,135,95,156,242,231,231,231,230,228,206,207,212,215,215,238,248,216,181,178,156,158,193,254,248,230,200,172,143,111,102,224,236,232,231,232,230,228,205,209,212,216,217,231,243,224,196,191,169,142,209,252,231,209,181,155,127,87,161,246,232,234,233,232,230,229,205,209,212,217,218,229,248,227,198,192,171,141,218,239,209,183,155,131,105,98,227,238,234,233,233,232,230,229,206,209,212,219,214,232,255,236,207,186,158,143,214,217,186,160,131,116,78,164,246,233,234,234,233,233,231,229,207,209,213,218,210,253,255,226,195,168,132,151,200,181,143,126,111,86,110,234,234,233,234,234,233,232,230,228,208,211,217,213,227,255,245,225,201,160,144,168,180,139,113,110,98,96,216,242,235,237,236,236,235,235,233,233,196,198,202,197,248,253,245,232,198,169,161,166,160,125,117,121,92,169,226,219,222,222,221,222,222,223,222,221,141,140,131,166,255,235,224,213,178,165,178,146,132,117,113,108,99,133,135,135,135,133,134,134,135,138,139,137
7,168,168,169,169,169,170,169,169,168,168,168,168,167,167,166,165,165,164,162,162,161,162,152,93,81,73,75,94,170,171,170,171,171,171,171,171,171,171,170,169,169,168,168,168,167,164,163,164,164,162,167,110,74,62,70,84,171,172,172,173,175,173,172,173,173,173,172,171,171,170,169,169,168,166,166,166,165,164,169,131,59,53,68,74,173,174,176,175,176,176,175,174,174,175,174,174,173,172,170,170,170,169,168,167,166,166,166,160,66,43,58,69,174,176,177,177,177,177,176,176,176,176,176,176,175,176,174,172,172,171,170,169,169,166,166,169,129,81,63,80,175,176,177,178,179,177,178,179,179,178,177,176,176,165,164,169,167,161,156,160,151,166,164,164,131,133,144,133,178,179,180,181,181,180,180,180,178,179,178,179,179,160,149,168,174,161,149,152,139,175,161,150,97,151,169,157,180,181,182,182,182,182,183,183,183,188,193,192,182,163,158,163,151,151,137,136,130,129,128,157,119,163,127,144,180,182,183,184,183,180,178,187,196,199,197,189,179,171,171,163,129,128,152,140,136,126,124,127,117,139,115,170,182,184,185,184,199,190,181,183,189,188,184,181,180,180,174,158,142,135,151,148,142,143,130,109,112,142,125,172,183,186,184,196,212,198,187,180,184,187,185,184,183,179,176,156,143,136,128,120,117,116,106,101,94,105,128,162,184,185,185,210,212,198,174,165,175,186,186,183,174,162,152,134,124,116,110,115,120,127,126,131,141,148,168,174,187,186,194,217,208,191,162,164,173,164,159,151,141,134,123,110,107,164,183,176,180,182,180,181,178,178,165,117,189,185,209,214,203,186,176,172,161,152,156,159,154,149,145,152,132,101,167,186,181,179,178,176,174,173,175,123,186,193,219,211,209,206,204,180,160,165,166,164,155,146,144,140,127,75,65,173,185,180,179,178,177,175,176,162,183,208,218,214,213,213,210,175,146,157,156,151,144,139,132,123,109,84,49,148,191,181,181,179,178,176,175,175,197,219,217,214,212,208,198,167,151,140,120,107,115,129,138,143,146,92,76,174,185,182,183,181,180,178,176,174,216,219,218,215,210,202,191,174,158,143,125,125,153,169,157,146,158,113,167,190,183,183,184,182,180,179,176,175,217,218,218,214,204,198,183,163,162,164,145,153,163,153,143,136,131,102,181,189,185,185,184,183,180,179,179,176,218,217,216,212,200,182,161,167,182,172,151,151,148,141,135,129,105,94,188,189,187,186,184,184,182,181,179,177,219,216,213,206,189,177,180,194,191,176,156,133,121,108,97,86,87,153,194,188,190,187,186,184,183,182,180,177,216,211,205,196,189,191,193,188,181,160,135,108,106,119,93,133,175,194,191,191,190,189,187,184,182,182,180,179,209,203,198,195,195,196,182,172,169,153,127,108,172,199,190,199,196,192,193,190,190,189,188,186,183,182,181,180,199,197,199,193,189,188,175,171,162,132,102,173,204,195,197,194,193,194,193,192,190,189,189,187,186,184,182,180,192,189,193,188,179,175,171,158,130,96,162,205,196,197,195,195,194,195,194,192,192,190,189,188,186,183,183,176,191,186,182,173,164,162,152,129,93,151,205,196,196,196,196,195,194,194,192,190,190,190,189,187,185,188,184,166,187,180,169,154,147,139,116,94,153,204,199,198,197,197,195,195,194,194,192,191,190,189,189,185,187,168,163,176,169,158,143,128,119,106,90,155,207,197,199,199,199,197,196,195,194,193,192,192,191,189,188,188,180,90,72,129
4,185,189,193,195,199,202,205,208,209,212,212,213,216,217,216,218,216,216,213,214,214,213,213,212,212,211,210,209,186,190,194,198,201,203,205,209,212,214,214,219,220,216,214,214,223,217,218,217,216,214,214,213,213,212,211,210,188,193,196,200,203,205,208,211,213,213,212,207,215,235,213,160,174,226,219,219,218,216,216,215,215,215,212,212,189,194,196,201,205,209,211,214,212,232,222,176,163,255,224,165,108,227,227,224,220,220,218,217,218,217,215,215,191,196,200,204,207,211,212,211,206,255,252,195,127,222,231,167,98,159,183,199,228,220,220,220,219,218,217,216,192,197,203,206,208,207,223,244,218,187,251,223,143,187,241,168,74,97,166,121,187,231,220,222,221,219,218,217,194,198,204,207,211,212,254,255,226,128,217,227,136,153,224,148,69,108,172,127,96,226,225,223,221,221,219,218,194,198,204,209,210,216,248,237,214,122,196,202,126,115,180,133,64,133,185,133,76,212,230,224,222,222,221,220,195,202,206,208,210,212,247,215,217,127,175,187,122,82,143,118,80,203,193,119,77,216,230,224,222,224,222,220,197,202,205,209,213,213,253,206,194,177,155,193,165,87,123,93,91,202,154,81,78,230,229,223,224,225,223,222,199,204,208,212,214,215,255,246,200,147,102,211,187,180,164,151,154,183,170,106,79,235,231,228,227,226,225,222,200,204,210,212,213,221,255,238,195,136,92,114,120,198,170,189,212,228,217,138,102,239,231,231,228,228,227,225,200,205,210,213,213,230,255,209,160,129,105,85,76,122,172,186,204,213,195,136,96,226,232,230,229,227,228,227,201,205,210,215,211,241,255,213,168,123,94,90,104,103,134,156,156,166,175,151,83,187,242,230,229,228,229,228,201,206,211,216,210,248,255,219,167,128,107,100,110,141,131,139,170,180,194,168,97,141,249,229,231,230,228,229,202,207,212,217,214,255,255,210,156,120,110,101,104,153,148,196,226,227,232,185,124,89,231,236,232,232,230,229,203,208,213,218,217,255,255,209,159,128,112,111,114,149,172,236,251,241,248,202,141,70,181,249,233,236,231,231,205,208,213,219,217,255,246,210,166,145,129,118,117,146,231,249,254,231,222,185,133,69,171,251,233,235,233,232,204,207,212,218,217,252,238,211,175,148,129,122,127,199,255,255,240,217,184,154,104,82,221,241,235,235,233,231,204,205,212,216,215,249,247,214,162,133,124,134,160,248,255,252,218,187,154,120,73,145,248,234,235,234,233,231,204,206,212,216,216,243,255,216,174,171,145,147,190,255,254,233,198,164,130,91,80,226,240,236,235,235,234,231,204,208,212,217,218,234,248,226,193,187,160,128,208,255,235,208,175,144,110,63,151,253,236,238,236,236,234,232,204,209,212,217,219,232,255,229,195,188,163,128,219,243,208,178,144,115,85,76,230,242,238,237,237,236,233,232,204,209,212,220,214,235,255,241,205,181,147,129,214,217,181,150,115,97,52,154,253,237,238,237,237,237,234,232,205,209,212,219,209,255,255,228,192,159,116,139,198,174,130,109,91,61,90,237,238,237,237,237,237,236,233,231,207,210,218,213,229,255,251,228,199,150,131,159,173,125,94,90,77,73,216,247,239,241,240,240,239,239,237,236,193,195,200,194,255,255,251,235,195,161,151,157,150,108,98,103,69,160,229,220,223,223,223,224,224,224,223,222,127,126,115,157,255,239,226,213,172,156,172,133,117,99,94,88,77,118,120,120,120,118,119,119,120,124,125,123
18,106,108,111,113,116,122,127,131,134,138,143,144,145,149,150,152,155,154,156,157,158,158,159,160,158,158,158,157,107,109,111,114,118,123,128,132,137,141,143,145,147,149,150,153,156,156,158,159,160,161,162,160,159,160,158,159,107,111,113,114,118,125,131,135,140,142,144,147,149,152,153,156,157,157,159,160,162,161,161,165,163,162,160,160,107,111,113,115,120,125,132,138,141,143,145,148,150,153,154,157,158,158,159,161,161,164,161,109,163,161,162,162,109,112,115,117,122,124,131,138,141,143,147,149,152,155,157,158,158,158,161,163,158,184,166,58,90,181,168,161,112,114,116,117,123,128,134,139,143,146,150,152,153,157,158,159,158,160,163,172,148,174,172,91,49,103,148,170,112,115,117,119,125,131,136,141,144,147,151,153,154,159,162,159,167,136,102,135,143,137,190,145,100,51,45,102,113,116,118,121,126,132,136,141,144,146,150,153,155,157,137,165,182,126,106,44,114,138,188,163,112,99,95,47,113,116,119,121,125,131,137,141,148,150,152,148,166,168,111,73,160,143,121,55,84,137,150,157,136,115,96,71,115,117,120,122,127,132,139,143,148,152,151,156,188,171,145,58,121,168,114,68,37,126,89,85,135,130,97,80,115,118,121,125,130,134,140,145,150,153,149,192,206,178,151,87,80,169,116,76,16,79,69,20,169,161,116,87,117,121,121,125,131,136,141,147,152,154,158,191,204,188,150,100,48,152,108,62,2,15,39,20,155,178,130,85,117,122,122,126,132,137,142,147,153,147,174,210,189,164,153,95,31,97,75,42,9,0,0,0,144,172,140,87,117,121,123,127,133,138,143,149,153,153,202,199,178,130,103,59,24,60,51,39,0,0,67,54,165,181,127,85,119,123,123,127,134,139,144,151,147,176,213,164,152,124,41,31,24,55,67,26,22,144,176,128,124,154,104,77,122,124,125,129,135,142,146,152,150,171,229,196,141,92,55,58,19,91,108,88,178,185,161,137,75,122,87,72,122,124,125,130,136,143,148,153,154,168,227,204,162,93,83,81,21,101,143,188,193,160,130,138,82,86,93,67,122,125,127,132,137,144,150,156,152,180,229,206,174,137,114,115,79,96,207,198,167,140,118,127,119,67,88,51,123,126,127,132,138,144,150,158,153,189,227,198,150,137,106,89,117,206,203,174,152,139,132,127,125,74,61,38,124,126,128,133,139,145,150,157,153,196,225,187,153,138,108,104,168,215,192,163,154,152,119,122,113,69,37,14,125,128,129,134,141,148,152,156,153,200,217,187,154,159,113,156,176,193,181,151,155,133,97,120,97,53,27,0,126,130,130,136,142,147,152,158,156,200,212,191,179,163,121,141,168,164,164,138,137,111,103,116,71,40,0,56,127,129,131,135,142,148,153,159,158,195,207,187,187,150,116,107,147,143,145,134,124,105,103,75,43,15,11,172,126,128,131,136,143,150,155,160,158,195,208,194,183,135,86,117,130,141,144,130,119,95,73,34,23,0,125,199,126,130,131,139,144,150,154,161,161,188,201,194,152,100,90,128,127,145,145,130,102,83,52,34,0,55,201,184,129,129,130,137,143,150,153,160,161,191,185,171,151,140,136,132,127,151,139,114,79,66,45,13,0,172,193,186,129,129,132,137,144,155,163,159,166,210,203,194,190,174,154,129,116,145,128,98,67,48,28,0,139,200,186,190,129,130,135,140,151,127,111,153,177,213,201,202,187,167,138,128,114,132,117,87,61,41,0,93,210,187,191,191
18,69,75,80,87,96,103,110,118,123,124,126,129,134,137,141,143,148,149,151,152,153,154,157,157,159,160,161,165,72,77,80,87,96,105,112,119,123,125,129,127,135,134,139,147,145,146,154,156,154,156,157,159,159,160,163,166,73,78,81,89,97,105,115,117,121,128,122,146,159,108,90,127,164,135,105,147,161,157,159,159,161,164,165,166,73,78,84,92,101,107,111,123,162,116,99,172,152,125,106,154,182,129,86,70,147,162,160,161,164,167,166,168,73,79,83,93,98,109,102,179,186,117,107,185,137,145,150,164,142,117,115,70,79,168,159,162,165,166,169,170,75,80,83,89,115,135,99,187,175,134,127,156,138,135,136,137,106,121,120,108,59,137,168,164,167,168,169,171,76,80,86,87,193,157,107,106,190,143,136,93,126,102,109,96,95,140,128,122,88,75,170,166,167,169,171,173,77,83,74,129,217,169,145,96,160,170,129,73,130,120,73,37,125,152,143,139,119,66,103,177,167,171,173,175,77,84,73,164,184,184,171,120,95,172,132,81,93,158,106,34,79,144,150,161,126,96,58,133,179,170,171,174,77,83,78,165,125,173,163,120,61,120,125,79,54,114,94,34,60,151,177,168,131,101,79,72,174,170,173,174,77,81,87,183,118,131,120,79,52,62,83,62,31,58,38,116,185,171,160,155,128,104,84,69,168,177,175,177,78,77,94,201,155,149,114,61,44,40,62,52,9,19,131,202,179,166,149,126,110,95,76,90,179,174,176,178,80,74,117,199,146,132,112,68,34,29,69,48,0,110,213,197,181,158,137,106,86,82,64,126,183,175,178,178,81,69,131,222,171,148,123,87,50,48,60,47,97,201,203,200,177,146,124,98,79,71,66,164,178,177,179,179,80,71,123,234,188,174,156,125,106,108,96,115,185,205,204,187,160,132,109,90,75,58,96,182,175,178,179,181,81,75,118,235,199,179,153,130,125,128,124,169,203,200,194,168,145,121,101,83,73,57,137,182,176,180,182,182,82,77,112,231,203,180,157,144,143,139,151,183,195,193,170,150,133,110,93,82,70,67,169,177,179,181,182,182,81,80,100,220,205,185,167,159,154,154,166,180,183,179,147,132,117,100,84,79,58,100,181,175,178,182,182,182,79,86,85,197,210,195,184,170,158,155,161,168,161,158,136,117,104,91,80,76,57,153,180,176,177,181,182,183,79,87,83,161,217,205,203,184,160,145,133,142,139,137,126,103,91,83,78,57,94,181,176,177,179,182,184,184,80,86,90,118,212,200,199,188,158,135,123,123,128,131,121,97,85,79,74,48,142,180,176,177,180,181,183,184,80,87,97,96,178,191,171,167,152,130,119,118,120,127,124,102,87,82,59,70,174,174,177,179,182,182,184,185,80,85,97,98,130,192,163,147,133,115,119,123,106,120,120,99,81,79,47,106,181,173,178,180,182,183,184,185,79,84,98,108,110,171,147,133,131,121,141,137,105,111,118,100,80,75,45,126,182,174,178,182,182,184,185,185,77,86,98,108,106,150,152,142,150,135,135,136,108,98,112,99,83,73,39,111,186,174,178,181,182,184,185,185,74,85,97,106,108,134,176,158,155,136,126,132,111,91,102,95,81,75,44,83,183,173,178,180,181,183,185,184,75,85,96,105,112,120,193,177,161,140,123,127,117,92,87,91,82,74,54,55,174,174,177,180,181,182,184,184,75,85,94,105,114,117,190,187,161,139,118,122,121,89,83,92,80,71,60,47,160,177,178,180,181,183,183,184
15,126,133,140,147,151,152,156,162,167,171,174,177,180,182,184,186,189,191,193,194,196,197,198,198,198,199,200,200,126,134,141,148,152,153,157,163,168,172,175,178,181,184,186,188,190,192,194,196,197,199,199,199,200,202,202,201,127,136,143,149,153,154,158,165,168,172,176,180,182,185,187,190,192,194,196,197,198,199,200,201,202,203,204,204,129,137,144,150,154,156,160,166,170,174,178,180,183,187,189,191,193,195,198,198,199,201,202,204,204,204,204,205,129,138,146,152,155,157,162,167,172,176,178,182,186,188,191,193,194,196,198,199,201,203,204,205,205,205,206,207,130,138,148,150,153,156,162,168,174,178,181,185,188,189,192,195,196,197,199,201,203,203,205,207,207,207,207,208,132,141,145,171,182,166,166,169,175,178,183,186,189,190,193,197,198,199,201,203,204,206,206,207,208,208,209,209,133,142,143,215,208,182,180,174,179,183,183,183,186,192,196,198,198,201,203,204,205,208,208,209,210,210,211,211,134,143,147,184,194,179,178,171,186,189,185,181,169,174,186,191,195,202,205,207,209,210,210,211,212,212,212,212,134,143,151,157,165,161,157,155,173,177,179,180,173,181,178,180,184,193,198,190,194,205,214,210,212,214,214,214,137,144,153,160,161,162,166,167,172,171,166,165,172,182,179,173,169,179,196,189,180,169,184,218,214,212,215,216,138,145,155,160,162,165,172,177,182,184,180,175,174,172,167,160,158,177,189,201,183,167,156,172,218,217,214,217,138,147,156,162,164,166,173,178,181,187,191,194,196,193,186,172,180,193,189,191,186,175,178,161,162,215,220,217,139,148,157,163,165,167,174,179,183,187,190,192,196,201,203,226,218,200,165,170,203,172,186,185,155,153,218,221,139,149,158,164,166,168,175,180,184,189,190,201,202,178,179,207,212,186,138,144,208,168,189,188,182,144,152,221,141,149,159,165,167,169,176,181,185,190,189,217,200,166,168,212,222,186,153,157,185,181,192,185,175,158,131,147,143,151,159,166,167,170,177,181,186,191,193,208,180,163,173,220,224,182,157,163,160,168,180,168,158,157,146,131,144,153,161,167,167,170,177,182,188,192,195,198,196,168,179,216,207,173,160,169,169,167,176,162,141,149,149,147,143,153,162,167,168,171,177,184,188,192,197,195,237,231,165,145,149,149,168,182,178,180,183,167,148,151,150,147,144,153,163,168,170,172,179,184,188,193,199,196,228,243,189,115,80,69,82,113,166,178,178,165,163,160,145,137,145,154,163,169,171,174,180,185,189,194,199,196,224,240,188,126,100,86,63,48,102,165,162,155,142,126,111,97,146,155,164,169,170,175,181,185,190,195,200,199,219,244,171,126,142,135,110,85,70,110,119,106,90,83,78,70,146,156,164,168,170,175,181,185,191,195,200,201,212,245,176,147,175,159,154,148,107,88,84,83,80,79,79,74,146,156,163,167,168,174,178,185,189,194,199,202,207,245,197,143,187,164,159,129,96,90,88,87,83,80,79,77,145,155,163,167,168,174,180,186,191,195,198,202,200,236,215,133,211,213,169,110,88,86,87,87,84,81,80,78,145,156,164,167,170,175,182,187,192,197,200,205,201,232,201,127,215,228,178,101,85,85,86,87,84,82,83,83,146,156,165,168,171,175,182,188,193,197,200,205,206,218,162,181,221,226,190,102,95,91,88,84,83,83,84,82,146,157,166,170,172,176,182,187,193,197,200,204,208,210,206,218,218,221,224,134,102,96,90,84,84,84,83,80
4,171,174,177,178,182,183,186,190,193,195,200,199,199,203,203,202,205,206,203,205,205,207,207,206,204,204,204,204,175,178,180,183,185,188,190,193,194,195,201,201,203,203,203,214,199,198,209,207,207,208,208,207,208,207,206,206,178,182,184,187,190,191,193,196,197,199,199,209,195,218,255,249,175,120,197,212,211,214,210,211,210,210,209,209,182,185,187,190,193,194,196,202,206,209,239,238,169,140,205,227,161,102,108,147,145,197,218,213,214,213,211,210,185,188,191,193,197,198,206,202,171,240,255,243,181,111,84,197,156,99,76,131,107,115,224,214,216,216,214,213,188,191,194,198,199,200,255,238,168,175,179,243,186,131,64,137,183,132,77,151,151,104,216,218,218,217,216,217,191,194,197,202,196,236,245,235,231,197,125,188,216,156,39,140,222,166,121,141,165,132,203,225,219,220,219,220,195,199,201,201,207,255,222,173,178,150,87,110,222,146,50,189,217,158,113,103,124,119,153,234,221,223,222,222,197,202,206,206,210,255,249,203,180,171,159,100,154,118,81,145,173,138,119,120,115,109,125,203,233,223,223,223,200,204,207,211,207,249,246,226,197,170,159,124,112,136,128,141,170,148,148,127,93,136,140,137,236,226,227,224,202,207,209,214,211,242,246,216,184,151,128,116,123,148,151,170,183,172,161,130,133,181,174,121,186,239,227,229,204,210,212,217,213,251,251,218,189,149,125,116,127,140,160,180,200,204,226,244,228,208,186,161,125,226,232,231,207,211,214,220,216,252,255,227,195,155,126,122,130,145,172,214,204,237,249,238,225,203,167,138,95,178,246,231,209,215,217,221,218,247,255,232,207,174,134,123,126,148,194,214,206,236,232,223,206,183,155,127,100,126,243,235,210,217,219,224,223,248,255,239,218,186,149,129,131,150,203,218,229,239,241,223,197,176,153,123,105,110,236,240,213,219,222,227,225,250,255,246,227,194,163,144,144,146,194,226,241,243,237,225,194,168,140,119,95,133,251,240,215,221,224,228,226,246,255,254,237,203,171,165,159,151,189,230,243,241,238,224,188,155,127,114,88,196,255,242,217,222,226,230,230,241,255,255,249,214,186,179,172,160,198,225,241,243,239,217,179,144,123,105,105,245,248,247,219,224,228,231,231,237,255,255,255,227,200,189,179,166,206,225,230,243,230,200,167,139,124,88,155,255,246,249,223,228,231,233,239,233,251,255,255,232,212,198,184,173,198,232,230,229,210,180,154,133,120,89,217,255,249,251,227,232,231,235,240,239,239,255,249,234,214,201,189,172,170,219,225,207,188,161,142,131,107,119,255,251,254,253,229,232,235,238,241,244,231,252,253,238,212,202,193,172,153,203,223,205,178,149,128,132,89,192,255,250,254,254,232,235,238,241,244,250,232,253,255,241,214,201,196,177,154,191,212,194,166,137,124,94,141,255,254,255,255,255,235,237,240,243,246,252,235,255,255,232,204,197,197,172,152,182,197,178,142,127,94,133,254,255,255,255,254,255,235,239,243,246,248,251,242,255,255,221,199,203,200,180,155,171,176,161,127,105,110,249,255,255,255,255,255,255,236,241,244,246,249,255,235,255,255,225,213,217,208,194,161,156,155,149,122,85,201,255,254,255,255,233,170,118,240,243,247,248,250,255,239,255,255,231,227,238,210,198,160,141,142,146,106,105,251,255,255,226,134,81,64,62,242,245,247,250,252,255,197,252,255,251,250,248,213,197,159,138,143,148,92,142,255,255,202,93,74,53,55,49
7,144,156,168,176,179,182,189,197,202,207,210,213,216,219,221,223,225,227,228,229,229,230,231,230,230,232,231,228,144,157,170,177,182,184,191,198,203,207,211,214,219,222,222,225,226,228,230,232,232,232,232,233,232,232,232,230,144,158,171,180,184,186,193,199,204,208,211,215,220,222,224,226,228,229,231,234,234,234,233,233,233,234,233,231,145,157,170,180,186,188,194,200,206,211,214,218,220,223,226,229,230,230,233,234,234,235,237,236,236,236,234,234,145,159,171,180,186,188,195,200,206,211,215,219,221,225,227,230,231,232,233,235,237,237,237,237,237,237,235,236,147,160,171,182,186,188,195,201,207,213,217,220,221,224,229,231,233,233,234,237,238,237,238,238,237,237,237,237,147,160,172,182,185,190,196,202,209,213,217,221,223,226,229,233,235,236,235,237,238,238,240,238,238,238,238,238,148,161,174,183,185,191,198,203,208,213,217,220,223,226,230,233,235,237,238,241,243,242,242,240,239,239,239,239,149,161,174,185,188,188,193,214,225,220,224,232,232,236,234,226,223,231,227,228,227,228,237,243,241,241,242,240,149,164,176,184,184,203,237,255,249,231,224,243,254,254,250,230,229,249,233,219,210,190,219,221,239,244,243,241,152,162,171,195,231,255,255,250,246,224,203,211,224,231,230,208,208,230,223,209,198,188,204,183,238,251,245,242,145,171,219,253,255,250,250,255,245,214,201,220,240,245,252,227,215,226,216,229,226,206,197,209,217,222,241,246,203,249,255,254,255,253,253,255,239,200,182,188,225,233,232,228,231,222,226,237,238,226,220,224,205,224,209,229,255,255,255,255,255,255,255,255,255,183,147,154,152,141,154,173,176,183,187,187,191,195,193,195,188,201,192,232,255,255,255,255,255,255,255,255,236,165,137,142,143,115,94,103,196,220,223,226,221,219,216,216,216,218,233,246,255,255,255,255,255,255,255,255,204,144,141,149,148,139,124,98,222,251,247,250,251,251,252,251,251,253,248,246,255,255,255,255,255,255,255,255,197,133,118,129,152,171,152,113,179,253,242,245,248,247,247,247,246,247,246,246,255,255,255,255,255,255,255,255,185,130,124,86,94,149,151,127,181,252,245,248,248,250,248,248,248,248,248,246,255,255,255,250,241,239,247,203,165,137,132,125,104,133,161,182,232,243,244,245,245,247,246,245,245,244,243,242,243,242,234,223,208,216,212,172,154,145,140,124,124,138,154,162,161,159,159,160,162,158,156,156,155,152,151,149,219,219,209,202,195,192,181,148,142,135,144,136,134,134,133,130,129,129,126,127,129,128,129,130,130,128,123,121,169,184,182,172,155,145,141,141,141,139,141,143,142,143,144,142,139,145,146,141,140,138,136,137,136,135,132,132,143,146,138,131,135,139,142,141,139,140,140,139,140,141,139,140,137,144,145,142,144,138,134,133,133,134,133,134,119,112,119,138,142,143,144,142,141,142,142,142,141,140,140,140,139,138,136,138,141,136,135,134,133,132,134,128,132,120,124,139,143,144,143,143,144,144,144,145,143,141,142,143,142,140,139,139,139,138,138,134,133,136,127,150,151,131,125,134,143,143,143,143,143,143,144,144,142,141,142,142,142,141,140,138,137,136,137,135,136,130,139,247,135,126,128,128,140,143,143,142,142,144,144,144,142,143,141,141,142,141,140,139,139,137,135,136,133,128,236,247,139,132,126,121,140,143,143,143,143,142,142,142,141,141,141,140,141,140,139,139,138,137,137,134,148,214,228,206
15,91,100,110,119,125,126,131,139,146,151,155,158,163,166,169,171,175,178,180,182,184,186,187,187,187,188,190,190,91,102,112,121,125,127,133,141,147,152,156,160,164,169,171,174,177,179,182,184,186,188,188,188,189,192,192,191,93,105,113,122,127,128,134,143,147,153,158,163,165,170,172,176,179,182,184,186,188,189,190,192,193,194,194,194,96,106,115,124,129,131,137,145,150,155,160,163,167,172,175,177,180,183,186,187,189,191,193,195,195,194,195,197,96,107,117,126,130,133,140,145,153,158,161,165,171,174,177,180,181,185,187,188,190,193,195,196,197,197,197,198,96,108,121,124,127,132,140,147,155,161,164,169,173,175,180,183,184,186,188,191,194,194,197,198,198,199,200,201,99,111,116,151,166,144,145,148,157,161,166,171,176,177,180,185,187,188,192,194,195,197,198,199,200,200,201,202,100,113,113,209,201,166,164,156,161,167,168,167,171,179,184,187,187,192,194,195,197,200,200,201,203,203,204,204,101,114,120,168,182,162,161,150,171,174,170,164,149,155,171,177,183,193,196,199,202,203,203,204,206,205,206,206,103,114,125,133,143,138,132,130,154,159,162,163,154,164,160,163,169,180,187,176,182,197,208,202,206,208,208,209,106,115,127,137,138,139,144,146,152,151,145,143,152,166,162,154,149,162,184,175,163,149,168,213,209,206,210,210,107,117,130,137,139,143,153,159,166,168,163,157,155,152,145,136,133,159,174,190,167,146,131,152,214,212,208,212,107,120,132,139,142,144,154,160,165,172,177,181,184,181,171,152,162,181,175,178,171,157,160,138,139,209,216,212,109,121,132,141,143,146,155,162,167,172,177,179,185,191,194,225,213,189,143,150,193,153,171,170,129,127,213,218,109,121,134,142,145,148,156,163,169,175,176,190,192,160,162,198,206,170,107,115,201,148,175,173,165,115,126,218,111,122,135,144,145,149,158,164,170,177,176,212,190,144,146,206,219,171,127,133,170,165,179,170,156,134,98,120,114,125,135,145,146,149,158,165,171,178,180,200,163,141,154,216,221,165,132,140,136,147,163,148,133,133,118,98,115,127,137,146,146,150,158,166,173,179,184,188,185,147,161,211,199,153,137,148,148,146,157,139,111,122,123,119,114,128,139,146,147,151,159,169,174,179,186,183,238,231,143,117,122,122,147,166,160,163,167,145,121,124,123,119,115,127,140,147,149,153,162,169,174,180,189,184,227,247,175,77,31,16,33,75,145,161,160,143,140,136,117,106,117,128,141,149,151,155,163,170,175,182,189,185,222,243,174,91,57,38,8,0,59,144,140,130,113,91,71,53,118,130,141,148,150,156,164,170,177,182,189,188,215,248,151,92,112,103,70,36,17,70,82,64,43,34,28,17,119,132,141,147,150,157,164,170,177,183,190,191,206,250,158,120,157,135,129,120,66,40,36,35,31,29,28,22,117,131,141,146,148,155,161,169,175,181,188,192,198,250,185,113,172,142,135,95,52,43,41,39,34,31,29,26,117,129,140,146,148,155,163,171,177,183,187,192,190,237,209,101,204,207,148,69,41,38,39,39,35,32,30,27,117,131,142,146,150,157,165,173,179,185,189,196,190,232,191,93,209,226,160,58,37,37,38,40,36,32,34,35,118,131,143,148,151,157,166,173,180,186,189,196,198,214,139,164,218,224,176,60,50,45,41,36,35,34,35,34,118,133,144,149,152,158,166,172,180,186,190,195,200,202,198,214,213,218,221,102,59,51,43,36,35,35,34,30
2,217,217,216,216,216,217,216,216,215,214,214,214,213,212,210,210,209,207,209,208,206,205,205,206,203,201,199,199,218,218,218,218,218,218,218,218,218,216,216,216,216,215,214,213,212,209,210,209,208,207,206,205,204,202,201,201,219,219,220,220,219,219,219,218,219,219,217,218,218,216,215,209,206,210,210,213,213,212,208,205,205,203,203,202,220,221,222,222,221,221,221,220,221,221,219,220,216,222,222,205,196,197,192,188,193,203,215,208,207,205,204,204,222,223,223,223,223,223,224,224,223,222,221,218,231,237,222,213,207,197,190,171,161,138,158,217,209,208,208,204,223,224,223,222,224,225,224,223,223,223,221,231,242,236,231,230,229,207,194,192,159,154,119,176,212,211,207,205,225,225,225,224,225,225,225,225,225,222,228,240,239,243,173,152,184,145,137,194,186,175,151,131,140,192,210,206,227,227,227,227,227,226,227,227,226,223,237,241,225,200,137,93,100,98,97,131,156,139,109,108,100,186,216,207,229,229,228,229,230,230,229,227,230,240,253,202,145,124,107,96,93,101,201,189,198,175,135,119,155,216,210,210,231,232,231,231,230,232,229,232,250,255,239,183,135,106,85,88,89,156,231,223,224,225,219,211,217,213,212,211,231,232,233,232,232,232,230,245,255,251,215,173,142,119,102,86,143,222,220,221,221,218,219,220,216,215,213,213,234,234,234,234,234,225,241,255,250,217,169,137,124,109,93,148,234,223,224,224,221,220,219,220,219,216,214,212,235,236,236,236,228,241,255,255,235,214,161,104,99,104,97,207,230,224,225,224,224,222,220,220,219,216,215,213,237,237,238,229,242,255,255,241,219,214,161,119,102,90,142,236,226,227,227,226,226,225,223,220,220,219,217,214,238,240,233,242,255,255,246,230,231,188,142,116,94,82,211,237,229,227,228,228,226,224,223,222,223,221,216,216,242,239,236,255,255,255,238,241,215,168,140,102,93,83,188,244,229,230,231,229,228,226,230,225,211,215,223,216,242,236,255,255,255,251,237,225,194,162,127,85,90,92,106,220,234,231,231,229,229,231,209,184,179,160,195,223,237,255,255,255,255,242,229,216,188,142,106,86,94,96,89,144,246,228,235,236,235,189,160,181,189,132,173,226,247,255,255,255,246,236,219,204,168,124,99,99,109,110,106,103,208,246,223,184,149,149,175,183,135,165,224,218,255,255,255,252,236,221,207,189,146,119,102,115,125,125,121,107,114,167,132,133,124,149,173,131,142,233,223,221,170,250,255,242,231,210,199,172,143,119,109,127,130,129,121,117,106,117,120,142,151,147,137,91,210,229,224,224,94,121,197,214,206,200,184,171,138,109,113,132,127,126,122,117,114,128,136,140,144,122,90,135,234,225,225,224,104,95,94,145,166,154,147,127,104,102,109,123,121,121,117,116,120,126,128,119,109,129,179,226,231,228,227,226,94,100,95,90,102,106,97,84,91,97,97,111,116,114,103,102,96,95,115,157,200,234,242,234,232,231,229,227,94,93,91,97,92,68,75,82,78,79,85,94,87,82,107,128,138,177,226,245,244,239,234,233,233,231,229,227,93,88,90,86,98,73,48,62,61,60,77,91,118,173,228,246,248,250,244,239,238,238,236,235,234,231,230,228,91,88,87,83,97,90,44,50,57,46,95,224,255,255,250,246,243,242,242,242,241,240,239,237,235,233,232,230,86,83,82,79,88,91,46,46,51,50,43,88,232,251,245,248,247,246,246,244,243,241,240,238,235,235,233,230
2,182,184,185,187,186,187,186,186,186,185,184,184,184,183,183,181,180,179,179,179,179,178,175,177,161,65,56,69,184,186,187,187,187,187,187,187,187,187,186,186,186,184,183,183,183,182,180,179,179,178,176,182,145,54,61,77,186,186,188,190,188,188,189,189,189,188,188,188,185,184,185,182,175,181,183,183,180,179,179,181,160,76,68,74,187,188,189,189,191,190,190,189,190,189,188,187,187,191,191,161,103,122,155,120,180,184,180,178,183,102,72,76,188,190,192,192,192,192,192,191,191,190,192,200,196,178,139,107,78,70,99,70,138,187,180,179,186,116,62,61,189,190,193,193,193,193,194,194,191,198,208,207,154,101,83,73,64,66,72,73,63,150,190,179,187,148,55,39,190,192,193,194,194,194,195,196,193,204,206,165,103,56,61,64,52,57,63,67,51,142,193,182,183,184,70,24,192,194,194,195,196,196,197,195,198,223,166,91,74,56,50,59,63,58,68,85,132,187,185,185,183,187,125,82,193,194,195,195,197,198,199,193,209,218,135,72,69,69,60,64,57,125,177,187,194,187,187,186,184,187,145,131,194,195,196,197,199,200,199,193,224,201,124,78,67,70,60,75,145,194,194,189,187,188,189,188,184,194,100,131,195,195,197,199,200,200,197,205,224,174,104,62,60,61,59,125,210,191,193,191,190,190,189,188,187,192,110,162,196,196,199,200,201,201,197,218,217,162,111,76,74,61,56,135,205,193,194,193,193,191,188,188,188,190,156,142,198,200,201,201,203,201,203,232,209,152,105,85,81,76,56,164,203,195,195,194,193,192,191,190,189,189,188,154,200,202,203,203,203,200,216,235,191,136,95,80,78,78,79,187,201,196,196,195,194,194,193,192,191,190,187,176,200,202,203,204,203,199,231,227,177,126,87,77,76,77,81,190,201,198,197,195,195,195,194,192,191,190,189,181,202,202,202,205,202,203,241,220,169,119,86,78,80,80,88,197,200,199,198,196,195,195,194,193,194,192,189,186,201,203,205,206,200,219,240,205,159,112,84,79,82,73,88,207,200,199,201,199,196,196,197,198,195,194,195,189,202,203,207,206,201,239,231,190,148,104,79,77,73,72,62,151,212,198,199,201,202,197,180,166,153,144,151,187,204,206,207,201,212,242,219,177,134,99,80,69,67,72,75,75,200,211,205,197,171,150,149,146,143,131,84,140,206,207,208,198,227,236,206,163,126,97,78,60,64,71,79,65,119,179,167,146,144,148,156,143,115,116,118,162,206,209,202,205,238,228,198,155,119,94,72,55,72,79,80,85,74,92,125,149,163,153,121,92,128,184,196,194,205,206,194,229,238,221,188,152,114,86,65,61,86,92,101,101,101,108,133,150,133,102,80,142,202,196,192,192,207,194,216,240,231,214,181,145,106,86,64,72,96,102,111,108,107,113,119,103,100,138,177,201,194,194,193,191,195,207,240,229,219,204,175,136,100,85,67,85,100,105,110,107,99,85,84,134,188,206,202,197,195,195,192,192,200,226,229,224,213,195,165,122,94,85,75,98,107,109,101,93,72,91,167,207,205,199,199,200,196,195,193,192,223,219,218,212,195,172,144,105,91,79,81,98,103,104,82,73,148,201,208,201,201,200,200,200,197,195,194,192,218,215,205,186,164,148,115,91,80,78,87,90,95,76,73,165,214,205,201,203,202,201,200,199,197,196,195,194,219,210,190,163,144,134,98,78,76,82,80,79,75,97,182,213,201,203,203,203,202,201,201,200,198,196,195,195
13,197,198,199,199,199,199,200,200,199,199,200,201,201,201,201,202,202,202,202,201,200,200,200,200,199,198,196,197,198,199,199,199,200,200,201,200,200,201,202,201,201,201,198,195,201,203,202,202,200,200,202,201,200,199,198,198,199,200,200,200,201,201,200,200,201,201,201,205,214,215,198,167,159,180,184,196,202,202,203,203,201,201,199,199,199,200,201,200,201,201,201,201,201,201,202,218,228,229,214,169,127,107,131,140,197,203,203,202,201,201,200,200,200,200,201,201,201,201,202,202,201,199,200,194,197,218,219,180,130,91,109,102,170,205,202,203,202,202,202,202,200,200,201,202,202,202,202,204,202,175,186,186,174,190,210,191,143,96,120,130,155,207,204,204,203,203,203,203,200,201,202,203,203,203,202,218,215,168,165,183,190,199,197,193,160,98,117,127,150,207,206,204,205,204,203,203,201,201,202,203,203,203,202,225,218,186,162,137,162,189,188,161,125,86,81,129,187,207,207,205,205,205,204,204,200,202,202,202,204,209,174,160,195,207,183,127,83,140,179,162,141,119,100,118,200,208,207,206,205,205,205,204,200,201,201,200,215,215,155,116,135,210,200,151,75,67,112,143,170,180,154,114,151,208,207,206,206,205,205,203,200,200,202,215,221,199,150,124,98,187,208,163,114,61,62,88,185,208,192,152,113,172,208,205,205,205,204,203,201,200,211,220,193,187,161,142,92,142,210,178,148,85,63,69,152,216,209,173,130,118,194,206,204,205,204,203,201,204,215,194,163,178,172,153,106,86,185,200,173,122,65,94,165,210,209,176,146,112,165,209,205,205,205,205,201,208,220,202,170,168,182,158,137,88,103,194,191,160,112,130,210,206,193,165,145,112,160,210,207,207,206,206,201,208,216,202,180,157,169,174,169,128,68,119,195,191,175,156,208,198,175,143,120,101,173,210,208,206,206,206,202,206,219,215,198,173,151,165,178,156,127,80,167,193,186,194,202,185,164,133,102,100,192,209,208,207,207,206,188,190,219,225,212,189,172,162,165,163,166,122,191,214,211,210,196,177,154,125,98,118,205,211,210,209,208,207,120,124,204,228,219,200,184,178,178,162,142,154,211,226,224,206,189,172,146,116,95,130,186,188,190,190,192,192,99,94,173,227,222,209,195,185,187,183,158,155,200,225,222,203,178,158,137,109,96,103,112,114,114,116,119,122,102,98,137,217,218,214,208,197,190,186,172,147,171,215,213,196,172,145,123,103,95,100,99,96,99,110,135,156,103,103,108,191,209,210,212,208,197,186,173,156,148,194,199,182,162,135,113,99,93,109,126,145,169,190,201,197,103,104,101,141,204,206,212,214,200,186,171,156,146,164,182,167,144,127,109,93,104,165,199,207,205,201,205,200,103,103,103,103,170,207,209,207,192,179,165,152,141,142,159,159,143,122,103,87,154,222,216,203,193,181,181,188,104,103,103,100,118,199,205,190,176,167,159,148,130,125,145,161,147,114,94,95,201,222,211,195,171,152,149,162,103,103,102,102,100,175,207,182,163,162,156,144,126,115,147,168,138,103,85,135,227,218,214,195,153,126,140,152,104,104,101,103,99,147,208,189,176,173,160,142,127,114,150,165,121,96,86,188,224,213,223,205,156,113,126,149,103,104,101,103,99,132,210,199,189,186,167,149,135,116,147,155,114,90,103,214,211,206,224,221,173,117,110,139,104,105,101,102,99,130,205,206,199,192,171,157,143,113,142,150,112,84,125,219,208,202,218,229,189,125,101,121
3,170,172,172,172,173,173,174,173,174,173,173,174,173,172,170,169,167,161,168,165,165,164,162,161,159,157,156,155,174,175,175,175,175,175,176,176,176,176,177,177,175,174,173,173,177,125,151,173,168,166,165,165,162,161,159,157,176,178,178,179,179,179,179,180,179,179,180,180,179,178,176,176,170,109,125,181,169,170,169,168,166,164,162,160,180,181,182,181,182,182,183,184,184,183,182,182,182,182,180,179,169,108,110,181,173,173,171,170,169,167,165,163,184,184,184,185,186,186,186,187,187,186,186,185,184,184,183,183,169,104,103,184,176,176,175,174,171,170,168,165,186,187,187,187,188,189,189,188,189,188,188,188,188,187,186,185,168,110,100,183,178,177,177,176,174,172,170,168,189,189,190,190,190,191,191,192,191,191,192,190,191,189,187,189,177,117,95,182,182,180,178,177,177,175,173,171,191,192,193,193,193,194,194,194,193,193,193,194,193,192,191,189,173,105,95,187,184,182,181,180,179,177,176,173,193,194,195,195,195,196,195,195,195,194,195,196,195,195,194,188,163,118,102,178,188,184,183,182,181,179,178,175,194,195,195,197,197,198,197,197,197,197,198,198,197,197,196,191,175,143,98,165,194,186,186,185,183,182,179,176,195,197,197,198,198,199,199,199,199,200,200,200,199,198,198,192,179,141,87,154,198,187,187,187,185,183,181,178,198,198,199,198,199,199,201,200,200,200,201,201,199,200,198,196,187,142,90,130,203,186,189,188,187,185,183,181,200,199,200,200,200,200,201,202,202,201,202,202,204,197,182,172,166,163,122,147,183,198,189,189,187,186,184,181,200,200,200,201,202,202,203,203,203,203,205,204,197,190,182,139,102,149,159,184,121,170,199,190,189,188,186,183,201,201,202,203,203,204,204,204,205,206,200,184,141,153,184,139,98,110,161,160,99,75,146,198,190,189,187,185,203,203,204,204,205,206,205,205,206,200,190,176,133,108,152,162,119,94,138,146,105,80,83,187,195,190,188,187,203,203,204,205,206,206,205,207,205,192,179,158,154,136,120,169,131,88,92,116,118,87,78,177,198,191,190,188,204,204,204,205,206,206,206,207,202,185,156,120,140,142,105,138,141,92,82,100,133,98,71,168,201,192,190,189,203,204,205,205,207,208,209,210,205,184,169,119,90,123,74,102,136,81,85,98,138,128,73,147,204,192,192,190,203,204,204,206,207,208,209,209,211,188,161,137,110,93,75,98,104,67,93,133,151,141,78,150,205,193,193,191,204,205,205,205,206,207,208,208,212,187,170,166,134,100,100,118,109,100,158,165,151,112,95,194,197,194,192,189,204,205,206,206,208,208,208,208,212,194,164,165,144,118,110,131,170,175,183,153,127,81,145,207,191,192,194,196,203,204,204,206,207,208,208,208,211,202,162,163,147,123,112,119,176,174,160,134,100,81,184,203,202,202,184,152,210,210,210,210,211,211,212,213,212,215,169,145,141,123,117,115,158,160,142,114,75,129,211,185,164,133,92,73,172,176,179,183,187,191,195,197,199,204,190,141,139,132,129,111,133,144,124,86,92,156,118,89,71,64,64,69,112,113,115,115,116,119,119,120,120,119,130,160,139,137,123,103,103,103,83,72,93,82,65,61,67,62,61,59,120,120,121,121,120,120,125,123,123,120,137,180,163,139,112,99,98,97,77,77,79,72,74,58,62,57,54,55,120,121,120,121,121,121,127,125,127,124,152,169,167,146,126,116,106,96,74,76,72,69,64,64,52,53,50,54
5,191,192,193,194,197,197,197,197,198,197,197,198,197,195,196,195,195,194,193,192,190,190,189,187,187,186,185,184,193,194,196,196,199,199,198,200,199,199,198,197,201,199,197,197,197,196,194,193,192,191,191,189,189,187,186,185,194,196,198,199,200,201,200,200,202,201,200,208,171,192,201,198,198,199,197,196,194,193,192,192,190,189,188,187,197,197,199,200,201,202,202,206,204,202,205,218,143,169,207,199,200,199,197,196,196,194,194,193,192,191,191,189,199,199,200,202,201,209,204,174,210,202,212,214,130,171,208,201,202,200,199,198,197,197,196,194,193,193,190,189,200,201,201,205,201,223,189,137,209,203,216,190,122,193,208,204,203,202,200,201,201,198,198,197,196,195,193,191,201,202,205,204,207,229,153,143,213,206,207,170,131,208,206,206,204,201,211,179,186,204,199,199,198,196,194,193,202,204,207,204,220,207,118,187,217,201,188,153,143,212,209,205,202,215,206,137,166,210,201,201,198,198,196,196,204,205,208,204,234,202,121,209,215,189,175,127,168,219,194,194,200,184,136,142,200,205,204,203,200,199,197,196,206,207,208,208,246,190,124,211,209,182,163,118,198,176,181,202,156,119,159,203,208,205,205,204,202,200,199,197,207,209,210,215,244,159,124,224,189,186,168,130,149,144,168,153,121,174,218,207,207,206,205,205,203,201,199,199,207,210,212,213,236,212,128,187,177,176,151,119,122,136,113,134,188,215,209,210,208,206,206,206,205,203,201,199,210,213,216,213,231,231,157,129,146,150,125,112,135,123,133,213,216,211,211,211,209,208,207,207,206,205,202,200,212,214,217,216,225,230,199,153,138,141,119,110,136,125,196,223,213,213,212,211,211,209,209,207,207,206,204,202,214,216,217,218,219,250,232,185,138,126,126,123,120,186,217,199,203,216,217,215,214,212,210,209,208,207,205,203,216,218,219,220,221,250,230,178,133,119,117,127,128,165,166,174,181,185,195,202,208,216,212,210,210,208,206,205,218,218,221,222,227,248,221,171,122,112,111,127,132,140,174,179,207,200,198,202,203,167,203,215,210,209,208,206,219,220,223,219,237,247,229,180,128,107,108,126,135,132,149,126,161,184,180,194,192,150,188,220,211,210,209,207,220,222,224,222,247,242,226,172,134,110,107,118,118,112,133,137,191,193,176,193,219,173,165,222,211,211,209,208,221,224,222,234,246,234,222,169,133,106,100,110,102,177,228,222,231,226,217,224,187,137,210,218,215,213,211,208,223,225,222,247,240,236,220,170,126,105,103,119,126,137,203,237,219,190,193,205,124,171,230,216,217,214,213,211,223,224,230,252,236,233,212,152,120,101,115,123,132,138,143,181,188,200,193,162,96,203,225,219,218,215,214,212,226,220,251,248,231,232,196,140,119,109,134,149,158,155,139,149,183,192,174,115,128,223,223,221,219,218,215,214,225,135,166,240,242,218,181,140,120,123,146,159,160,148,143,144,173,154,121,157,222,225,224,224,220,218,217,214,153,105,100,132,207,209,175,148,121,129,154,150,145,129,140,129,112,131,197,234,227,225,226,224,220,218,217,215,114,109,107,99,105,142,159,128,107,117,140,137,129,120,113,101,150,226,236,228,227,227,225,224,222,220,219,218,117,104,100,103,99,95,84,79,83,91,104,115,108,98,156,214,240,233,229,231,231,229,227,225,223,220,219,219,106,100,98,97,93,99,74,62,72,72,75,78,92,176,244,239,233,233,233,232,231,230,228,225,224,222,219,219
4,147,147,148,148,148,148,148,147,147,148,147,148,148,148,149,149,149,148,148,147,148,148,147,147,147,146,145,144,149,149,149,149,148,148,149,150,148,149,148,148,148,151,149,150,151,150,149,149,148,149,147,148,148,146,145,146,150,149,149,150,150,149,149,149,150,150,150,148,147,151,154,150,151,153,155,151,149,149,149,149,149,147,147,147,149,151,150,150,152,151,150,151,152,150,150,163,150,123,128,152,138,116,136,157,154,152,148,149,149,149,149,149,150,150,151,152,153,153,152,150,153,149,140,153,179,146,97,142,157,112,75,135,128,141,155,149,150,150,149,149,152,152,152,153,154,153,153,150,163,171,155,104,148,171,99,136,170,125,78,133,115,73,132,159,150,152,151,150,154,154,154,153,153,154,153,155,161,165,160,112,121,166,87,122,179,120,98,158,128,75,71,158,153,153,152,152,153,154,154,155,154,155,151,166,156,146,165,101,102,159,98,90,161,94,89,159,137,83,64,157,153,154,152,153,153,154,155,156,155,153,154,170,136,107,156,112,84,155,138,115,127,115,136,168,152,89,88,165,152,155,153,154,153,154,155,157,157,153,163,164,136,100,129,115,71,109,133,141,133,149,157,155,135,105,84,158,155,155,155,154,154,154,155,157,155,158,168,156,147,118,95,74,62,84,81,116,123,130,137,136,115,130,67,127,164,154,156,155,155,155,155,156,156,162,164,140,118,108,91,66,63,96,60,76,96,95,115,103,120,137,81,91,168,153,156,156,155,155,156,157,157,165,166,135,103,85,82,72,74,96,78,104,109,95,66,104,162,143,109,65,150,160,157,159,155,155,156,158,156,170,177,149,116,84,66,65,83,84,98,133,136,107,97,127,164,154,137,71,108,169,156,160,154,154,155,157,156,172,178,157,121,83,67,64,89,92,131,135,136,130,156,156,145,163,137,80,76,167,158,159,155,154,154,156,155,175,178,165,126,81,76,69,78,102,129,131,149,161,155,157,147,138,118,87,64,154,160,159,155,154,156,156,156,177,174,170,128,84,94,87,79,109,127,150,158,156,153,146,137,110,95,82,68,153,159,158,154,154,156,157,160,175,172,161,126,112,107,89,118,145,156,167,161,154,144,134,119,98,76,58,123,163,157,158,155,155,156,157,159,175,173,163,142,129,113,89,136,166,163,168,161,147,135,122,106,86,56,98,164,158,160,159,155,155,156,157,154,176,172,169,156,132,126,104,127,168,163,164,154,132,123,112,96,68,71,158,162,161,160,159,154,155,155,158,149,167,171,174,162,142,130,118,126,165,162,156,142,122,112,97,83,57,130,166,160,161,160,159,159,159,159,162,155,158,172,165,150,142,131,121,129,155,152,142,129,112,102,88,58,91,169,162,162,162,163,162,103,106,107,113,105,143,181,159,144,140,137,125,131,142,141,127,113,100,95,77,60,145,166,164,165,165,160,158,64,65,65,70,53,126,179,156,150,150,141,127,131,141,137,124,101,89,85,64,70,95,94,94,92,95,117,147,73,73,73,77,61,128,179,158,154,153,141,127,132,144,142,123,87,78,70,62,69,60,58,69,113,130,141,154,72,73,72,76,60,126,184,160,155,154,152,131,124,142,137,104,75,71,64,70,72,85,138,158,154,174,162,135,74,74,74,77,62,124,184,160,155,160,163,132,112,137,123,87,71,61,58,104,141,159,173,160,122,126,158,154,72,73,72,76,64,126,178,153,150,160,164,130,109,133,116,80,63,56,120,172,175,159,144,132,121,100,120,147
14,169,174,179,182,184,187,190,192,193,196,195,198,198,197,196,197,196,195,195,194,194,192,191,190,188,187,185,184,171,177,181,185,187,191,192,193,196,199,199,201,200,200,199,197,201,202,201,196,194,195,195,192,190,190,188,187,174,180,184,187,191,192,194,197,199,202,201,201,202,201,202,202,174,180,197,199,199,194,194,193,192,191,190,190,175,182,187,190,192,195,197,201,201,201,202,203,203,202,201,184,173,155,162,152,183,208,194,192,194,192,193,193,177,183,189,190,194,198,200,202,204,204,206,206,203,220,220,207,195,172,136,111,106,144,200,203,193,194,194,194,179,184,191,194,196,200,202,204,205,207,209,203,216,243,203,170,219,184,141,85,65,64,88,178,206,193,196,194,180,186,192,196,198,201,202,205,208,209,209,218,238,236,175,71,138,123,168,116,43,75,40,48,172,205,194,197,182,187,194,197,200,204,205,207,209,211,212,235,213,160,117,63,45,70,179,152,73,71,74,43,58,202,200,199,183,189,194,199,202,204,206,209,211,218,230,248,186,103,59,38,36,35,129,171,106,78,100,80,50,138,212,197,184,190,197,199,204,206,210,213,211,230,250,246,198,139,86,61,49,38,46,115,129,77,87,73,83,75,193,205,186,190,196,201,204,208,211,213,217,240,255,231,170,123,84,56,57,46,119,189,213,183,116,79,81,57,131,213,187,193,198,202,206,210,212,211,225,254,248,188,116,71,59,49,37,91,228,220,212,221,221,134,83,88,118,213,189,196,201,203,209,211,216,208,236,255,233,202,143,76,49,30,66,217,227,213,217,216,212,120,133,82,125,220,191,198,202,207,210,213,214,215,254,245,217,206,147,96,54,20,32,85,184,226,212,229,175,118,138,74,89,221,193,200,203,207,212,218,207,241,255,233,215,207,138,102,43,27,36,36,58,190,236,189,97,115,126,80,50,182,195,200,205,209,213,214,218,255,245,216,224,201,143,105,40,33,51,62,62,76,123,86,102,125,107,78,42,165,194,201,208,211,217,210,240,255,241,224,224,191,147,98,41,52,78,79,80,75,57,82,106,122,105,53,122,219,196,202,209,213,215,217,255,255,242,222,207,189,142,82,49,73,95,97,94,92,81,83,110,99,66,134,223,216,199,204,209,214,213,233,255,252,233,210,194,180,125,83,61,89,100,103,98,91,88,83,84,66,158,229,218,218,200,205,211,215,213,253,255,242,220,202,182,161,116,87,76,92,107,101,97,81,88,61,56,178,236,218,220,220,201,207,211,215,218,255,255,233,215,190,169,152,114,94,77,91,108,95,88,76,60,100,195,235,223,224,221,219,203,209,214,215,229,255,250,225,205,184,159,138,124,90,77,85,95,92,79,56,160,236,233,226,227,226,223,221,204,209,216,214,251,255,242,208,175,166,154,137,100,77,80,79,84,66,60,169,245,229,227,229,227,225,225,222,204,210,212,232,255,252,229,188,185,173,132,101,72,80,84,60,72,113,201,243,230,232,230,229,228,226,226,225,207,217,207,235,255,241,224,196,183,142,122,97,79,77,62,127,214,243,243,234,236,234,230,229,228,227,227,226,198,203,189,237,253,241,216,196,162,119,111,89,79,50,129,255,245,238,238,236,236,234,233,232,230,229,228,226,65,6,107,255,245,232,209,181,139,105,99,83,64,69,220,243,238,241,240,237,236,235,235,234,231,230,229,227,52,10,80,223,241,221,203,167,118,94,86,74,41,154,250,238,240,240,239,237,237,236,236,234,232,231,229,227
21,161,163,165,167,169,170,172,172,173,173,173,173,172,172,171,170,169,168,168,168,165,164,163,162,160,160,157,157,162,164,167,169,170,172,173,174,175,175,176,175,175,174,174,171,174,171,169,169,168,166,164,164,163,162,160,158,163,166,169,170,171,173,176,176,177,177,177,177,177,176,175,173,154,170,172,170,170,168,166,166,165,163,163,160,164,167,169,170,172,175,178,178,179,178,178,178,178,177,178,185,108,144,179,172,172,170,166,167,166,165,165,164,165,169,171,171,174,176,179,179,180,179,179,179,179,177,184,176,104,151,180,171,172,174,171,170,169,167,166,166,166,170,172,173,175,178,179,180,180,180,180,181,182,176,192,169,107,165,179,174,173,158,167,173,171,170,167,166,168,170,173,175,177,178,180,181,182,182,184,183,183,179,198,164,112,174,179,177,162,113,133,179,169,171,169,168,169,172,175,177,179,180,182,183,184,184,184,184,183,184,200,155,118,181,179,173,154,107,145,178,170,171,170,169,170,172,176,178,180,182,183,184,185,185,186,185,182,188,195,145,116,184,179,168,145,108,172,176,173,173,171,170,170,174,177,179,181,183,184,184,186,186,185,187,187,195,190,130,121,188,174,167,130,129,183,174,175,173,173,171,173,175,178,179,182,184,186,185,187,188,187,157,155,209,186,116,143,187,161,158,109,158,183,177,176,175,174,173,173,176,178,180,183,184,186,187,190,188,195,159,110,144,145,100,160,179,164,132,114,183,180,179,178,176,175,174,173,177,180,182,184,185,186,190,188,193,194,190,160,124,95,95,171,170,161,107,151,188,180,180,178,178,176,174,174,178,181,183,185,187,188,189,193,204,193,209,196,140,96,97,126,137,127,112,183,183,183,182,180,179,177,175,176,178,182,184,186,188,190,191,203,162,181,181,181,136,100,94,99,107,95,148,191,183,183,183,182,180,178,176,177,179,183,185,188,190,188,200,195,143,155,124,172,156,111,92,92,95,106,184,187,184,183,183,183,183,179,177,177,181,184,186,189,191,190,205,191,155,119,84,155,175,123,96,90,87,141,196,186,187,186,185,184,183,181,179,178,182,186,187,190,190,194,207,165,135,124,97,162,185,139,109,94,86,168,195,187,187,187,186,185,182,181,180,179,184,186,188,191,190,202,206,169,159,131,151,214,178,154,126,98,88,172,196,189,189,187,186,185,185,183,181,180,183,185,189,192,190,208,208,183,147,142,212,204,163,150,127,103,99,178,196,192,191,188,188,187,186,184,183,180,184,186,189,192,191,214,221,177,146,178,227,186,155,134,126,106,109,189,194,192,191,191,191,189,186,184,183,182,185,187,190,192,192,219,205,168,162,188,222,185,164,126,114,104,126,199,193,192,192,191,190,188,186,185,184,182,185,189,190,194,193,213,191,192,162,193,215,177,158,130,109,101,150,202,194,194,192,191,191,189,188,186,185,179,183,186,189,192,195,202,207,207,161,205,198,164,140,122,112,103,173,200,194,193,193,192,192,190,187,186,184,178,182,186,189,192,193,198,208,196,156,188,182,149,125,113,106,114,190,197,194,192,191,191,190,189,186,185,183,180,183,186,189,193,194,201,197,178,158,170,173,147,129,116,99,133,201,195,195,194,192,193,191,189,187,186,184,180,183,187,190,193,196,199,193,176,176,176,171,167,130,112,94,151,203,195,196,193,193,193,192,190,188,186,184,179,183,186,189,192,195,197,197,200,198,181,164,165,128,105,93,168,203,196,196,193,193,192,191,190,189,187,185
0,206,207,207,206,206,206,205,204,205,207,206,206,206,205,203,202,203,202,200,201,198,196,197,197,195,194,192,192,209,209,209,208,209,210,210,209,210,208,207,208,208,207,206,204,203,202,201,201,201,200,200,198,195,194,193,193,211,210,210,210,210,210,210,210,209,209,211,211,210,209,207,206,205,205,203,203,204,202,203,200,200,197,196,194,211,211,211,210,209,209,209,209,211,211,211,212,212,211,209,212,211,206,211,212,205,201,201,203,202,200,199,198,212,212,213,212,211,212,211,210,212,211,211,212,210,211,204,182,195,217,186,165,197,191,149,204,202,202,201,201,212,213,214,214,214,213,213,213,213,212,214,217,219,212,169,123,96,145,144,107,102,182,111,167,213,201,202,199,214,214,215,215,216,216,215,214,217,221,217,191,155,166,166,127,85,56,144,120,61,148,139,106,222,201,202,201,216,215,216,215,216,216,216,215,190,182,201,173,112,66,145,138,116,77,146,123,72,119,167,71,145,221,201,203,217,217,217,217,216,216,213,201,157,92,167,168,117,63,127,149,128,77,149,128,71,81,165,110,70,149,213,202,219,218,218,218,218,217,201,194,162,102,146,173,127,81,120,155,117,71,154,134,70,38,154,139,95,63,207,204,219,218,219,219,219,215,185,181,174,132,128,181,128,88,96,156,119,56,123,108,56,44,163,156,80,81,218,204,219,219,219,220,220,207,177,155,172,144,114,169,123,85,75,154,115,35,44,57,19,93,186,149,54,141,224,205,221,222,222,221,219,204,197,146,149,139,86,141,131,94,45,80,66,0,22,36,64,165,180,126,54,198,212,208,221,224,224,222,218,195,174,111,112,93,31,92,124,86,22,3,20,67,133,120,138,181,162,84,93,226,206,209,223,225,224,225,214,192,184,142,101,57,24,32,66,33,8,36,118,177,174,166,137,152,142,40,144,229,209,209,223,226,224,226,214,193,196,169,122,95,79,72,85,88,113,154,181,178,168,165,127,105,95,28,191,218,212,210,223,226,224,227,213,193,205,174,139,117,99,110,140,176,187,191,194,183,159,152,109,76,32,101,230,212,214,211,223,224,223,227,215,187,206,178,148,113,109,120,167,194,196,201,196,171,147,133,95,31,63,217,218,216,214,214,220,222,221,224,219,177,192,179,155,125,118,134,189,201,197,199,184,153,130,110,58,37,204,223,215,216,215,214,221,224,225,224,227,184,186,186,161,145,135,151,193,198,196,186,160,139,113,84,22,167,229,213,216,216,213,212,225,225,225,224,231,198,172,188,177,163,139,156,189,188,187,172,137,115,96,28,118,234,214,218,216,216,213,213,225,225,225,225,228,215,170,183,177,156,133,147,179,170,163,142,114,94,40,71,226,219,218,218,217,217,215,213,225,225,225,226,226,227,181,176,169,145,133,140,165,154,138,117,89,39,43,208,224,219,220,219,218,217,216,215,224,224,224,224,225,226,188,177,159,135,132,134,156,146,119,96,49,36,197,228,220,222,223,219,218,217,216,215,227,226,226,224,228,215,183,175,164,157,155,144,148,143,105,70,19,180,233,219,221,220,221,219,218,217,216,214,217,220,222,222,229,197,178,186,175,174,160,147,142,131,86,31,85,245,226,231,231,228,227,225,224,221,220,218,119,123,126,129,128,151,184,195,185,172,160,149,133,97,74,26,105,191,185,188,192,195,196,196,198,200,202,201,92,92,88,89,80,137,187,196,179,169,160,147,102,84,62,28,62,92,91,90,91,93,94,95,97,100,101,101
7,211,214,216,218,219,221,222,224,225,226,225,226,225,225,224,225,226,228,226,226,226,224,223,222,221,217,214,213,214,215,217,220,222,224,224,227,226,227,228,229,228,228,229,229,229,230,228,229,228,227,226,224,223,221,219,218,214,218,220,222,224,226,228,229,229,230,230,230,232,232,232,232,232,231,230,231,231,230,228,226,225,223,223,220,216,221,223,225,226,228,230,231,232,231,233,233,234,234,233,233,233,234,233,232,233,231,230,229,227,227,225,224,219,224,226,228,229,230,231,233,233,234,235,235,234,237,236,235,235,236,235,234,234,234,232,230,230,230,228,225,221,225,228,230,231,233,234,236,236,237,237,236,236,238,239,238,238,237,237,237,236,236,234,232,232,232,231,228,224,227,230,232,232,235,238,238,239,238,240,240,239,240,241,241,241,240,240,240,239,238,237,236,236,233,234,232,224,228,231,233,234,237,238,239,239,243,240,241,243,242,240,242,243,241,242,242,242,240,240,235,233,235,233,232,226,229,231,234,235,237,238,244,251,254,224,196,216,232,234,232,234,240,237,238,233,237,228,242,252,231,234,231,230,231,232,235,239,248,252,253,255,255,245,193,171,203,218,216,219,211,208,218,215,225,211,236,223,221,241,234,229,234,246,253,255,255,251,248,240,235,230,188,161,179,200,211,211,206,204,200,196,204,190,186,180,224,236,236,249,255,255,255,251,244,237,225,217,227,238,203,161,151,158,173,192,206,197,195,205,203,196,210,208,209,230,219,255,255,251,245,236,230,224,221,225,235,242,210,166,163,163,155,152,142,158,170,170,179,172,176,186,186,185,212,255,255,245,231,219,214,212,215,221,234,220,185,159,156,173,183,174,143,169,241,230,223,219,218,216,218,228,246,255,251,244,228,217,214,215,210,206,221,228,194,147,132,155,169,171,167,148,249,255,255,255,255,254,252,250,246,250,248,245,235,227,221,221,220,216,224,238,206,166,165,170,157,158,134,181,255,251,254,253,251,250,249,248,247,244,239,236,235,233,226,222,218,218,224,229,205,176,182,184,172,168,147,249,255,255,255,254,254,253,251,251,250,225,222,226,232,233,231,222,215,214,213,194,179,162,154,163,169,140,208,255,253,255,255,255,255,255,254,253,253,117,129,164,209,232,225,210,198,186,172,163,151,106,85,109,146,144,250,255,255,255,255,255,253,251,251,255,221,46,44,54,84,140,181,166,174,183,203,234,250,151,101,132,152,218,255,255,255,255,255,253,255,255,255,213,131,48,42,38,33,34,50,195,254,255,255,255,255,246,195,225,249,255,255,255,255,255,255,255,247,200,176,126,102,39,34,31,34,13,81,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,217,147,121,110,98,83,32,29,25,27,7,86,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,168,95,93,114,100,91,83,29,31,28,29,0,77,255,255,255,255,255,255,255,255,255,255,255,255,255,255,199,118,83,62,85,84,77,81,38,42,36,25,0,65,255,241,248,251,252,254,255,255,255,255,255,255,255,166,101,127,83,51,59,77,69,72,51,44,27,2,0,34,147,143,146,149,151,156,160,161,163,167,164,171,170,106,77,119,79,43,47,60,61,62,60,36,7,0,0,56,137,125,125,128,127,128,128,128,129,126,126,147,145,93,68,109,73,40,44,51,54,56,51,15,1,9,1,88,151,138,141,143,142,140,141,139,139,137,142,127,108,88,65,99,65,42,39,46,49,52
23,153,156,160,163,166,169,171,173,174,175,175,175,175,175,175,173,173,172,171,170,169,168,168,168,167,169,181,190,156,160,164,167,170,174,176,177,179,179,180,180,179,179,180,178,178,176,174,173,172,172,171,170,169,168,156,150,159,164,168,171,174,179,181,182,184,184,185,185,184,184,184,183,179,179,180,177,176,176,176,174,173,171,163,112,164,168,173,176,179,183,186,188,189,190,190,192,191,199,213,211,184,156,170,180,181,180,179,177,176,176,174,142,167,171,176,180,183,186,190,192,194,195,198,221,220,225,227,213,197,183,174,168,170,186,185,182,180,179,178,175,170,174,179,182,186,190,194,196,198,200,210,231,207,181,176,141,152,166,162,141,145,188,188,186,184,183,182,180,173,177,181,185,189,194,197,200,201,202,225,221,199,114,129,158,183,165,146,150,184,194,192,190,188,187,185,183,175,180,183,188,191,195,199,202,204,207,235,217,199,150,177,173,205,203,201,200,200,199,198,196,193,191,189,187,177,182,185,190,194,198,202,205,208,213,231,218,225,226,194,115,192,208,207,204,204,202,201,200,198,195,193,192,179,184,187,193,196,200,204,207,209,221,231,237,241,228,186,114,178,201,209,208,207,206,206,205,203,200,198,195,181,186,189,194,199,202,205,209,210,230,240,239,218,211,177,166,218,162,161,186,201,210,209,208,207,204,203,159,184,188,192,196,201,205,208,212,224,235,229,210,188,200,185,187,211,159,99,87,113,183,213,211,209,208,192,87,186,190,194,198,202,206,212,228,232,222,210,213,218,221,211,178,166,147,96,78,87,128,215,213,212,211,144,76,186,192,196,200,203,220,228,226,224,225,231,233,229,218,199,160,101,134,105,89,91,127,217,215,214,205,97,73,188,194,199,202,206,227,216,215,210,208,217,215,199,185,172,138,81,77,93,92,92,136,216,195,168,122,77,71,189,195,200,204,211,236,222,202,197,203,205,205,198,189,175,137,83,53,85,100,100,105,115,88,67,63,67,69,192,196,200,205,212,229,220,206,206,211,215,208,189,175,159,121,84,62,104,121,108,65,53,63,60,61,65,65,193,197,201,206,210,218,221,218,217,208,204,167,142,143,136,112,82,62,88,117,108,65,45,48,47,62,61,60,194,198,202,207,211,216,220,218,211,190,164,124,81,99,134,110,78,72,93,107,95,58,54,49,45,50,57,51,195,200,204,209,212,213,213,222,219,173,130,99,71,101,139,103,68,80,96,101,79,55,50,50,51,47,47,49,195,199,203,208,211,210,207,227,211,135,98,68,74,100,98,73,80,94,96,92,63,57,55,43,43,49,48,51,196,199,204,208,211,207,204,221,192,136,105,74,52,55,64,81,97,106,103,81,48,54,56,47,36,40,43,55,196,200,205,208,212,203,206,222,190,139,111,80,59,64,88,104,112,112,102,71,40,42,55,54,40,33,39,43,196,201,205,209,213,201,214,225,197,146,118,92,73,73,104,113,115,110,92,58,40,42,47,55,46,33,36,35,196,201,205,210,213,203,211,220,196,154,124,105,82,78,96,112,116,109,79,43,41,40,44,48,52,38,31,35,166,172,177,182,188,184,210,213,192,155,126,115,90,85,86,111,116,103,60,36,42,37,38,42,45,44,28,30,115,117,119,120,119,134,204,205,183,148,128,127,93,89,91,102,108,76,52,43,40,36,31,38,40,42,34,24,121,121,122,123,118,118,203,193,166,138,139,131,95,92,89,98,76,40,49,46,45,39,29,32,37,38,36,22
10,98,106,109,112,117,124,130,134,138,142,145,148,151,153,155,157,159,160,162,162,160,164,164,164,163,163,162,161,101,108,112,115,120,126,133,138,141,144,147,151,154,154,157,161,162,164,162,170,176,148,168,167,167,165,166,164,102,110,113,115,122,128,135,140,143,146,148,153,155,157,161,163,164,165,158,192,198,122,165,169,169,169,167,167,103,110,113,117,125,131,136,140,144,148,151,154,157,159,163,165,166,168,162,199,206,123,159,173,170,170,169,169,105,112,115,118,125,133,138,142,146,149,152,156,159,163,165,168,169,171,165,194,221,136,152,177,171,173,173,172,106,114,116,120,127,134,139,143,147,151,154,158,162,164,166,168,170,172,168,189,239,161,141,182,175,176,175,175,109,115,118,123,130,136,141,146,151,154,157,161,164,165,168,170,171,174,171,188,241,179,129,182,177,178,177,178,110,117,119,124,132,137,143,148,153,157,160,163,165,168,169,171,176,176,174,184,240,190,123,182,180,179,179,179,111,118,120,126,133,139,145,150,155,156,160,166,167,166,182,182,142,179,177,183,239,194,119,177,184,181,181,181,114,121,123,127,135,141,146,151,155,164,164,161,169,170,201,198,111,136,185,186,239,202,119,172,188,184,185,184,115,121,124,128,137,143,147,153,153,196,160,109,109,118,162,199,173,139,165,194,232,197,122,159,191,185,186,186,116,122,124,131,139,145,149,155,158,174,137,95,90,98,96,175,223,177,118,196,210,191,135,144,195,186,187,188,117,123,126,132,140,146,152,156,161,165,155,136,121,115,109,121,200,185,114,148,167,170,141,134,196,189,190,190,119,125,129,134,142,149,154,158,163,167,174,170,199,193,102,85,183,214,157,94,104,129,134,115,190,192,191,191,121,126,130,136,143,150,156,160,165,169,170,180,237,192,80,66,140,233,185,114,81,104,119,101,175,197,192,193,121,127,131,137,144,151,157,162,166,172,168,213,241,182,91,91,86,227,210,153,96,90,117,100,165,201,192,193,123,128,131,138,145,152,158,162,168,174,171,210,236,215,114,59,103,218,227,178,117,83,111,101,169,204,195,196,124,129,132,139,147,153,159,164,170,174,175,182,221,233,149,98,128,217,227,175,120,92,102,98,175,205,197,198,125,130,134,140,148,155,161,165,170,174,178,177,203,207,146,133,142,226,218,189,138,101,100,94,181,205,199,201,126,131,134,142,150,155,161,167,172,176,179,183,181,199,198,159,176,237,215,198,160,115,99,92,187,205,200,202,128,133,136,143,150,156,162,168,173,176,181,186,183,219,241,208,209,241,220,191,163,127,103,90,189,205,202,203,128,132,136,143,151,157,163,168,173,177,180,186,185,208,241,224,226,240,220,190,165,135,110,91,191,207,205,205,127,131,134,142,150,156,161,166,172,176,181,184,185,197,241,237,230,237,218,190,160,142,116,93,191,206,203,203,129,133,136,144,152,158,164,168,173,177,182,186,187,195,239,240,236,237,215,190,167,149,121,89,191,207,205,205,128,133,136,144,153,158,164,170,175,179,183,186,190,190,229,241,240,236,213,198,175,146,117,92,199,207,206,207,129,133,138,146,154,159,165,170,175,180,183,187,191,189,216,241,230,227,208,209,185,143,108,100,209,205,208,209,129,133,138,145,153,159,165,172,177,181,185,189,192,196,210,236,216,214,212,210,197,144,99,102,214,211,208,209,125,130,136,142,151,157,164,172,175,180,184,187,193,160,93,194,213,223,221,208,201,140,98,54,60,172,216,208
1,85,7,53,69,76,86,107,126,139,145,151,154,157,161,165,169,177,174,177,180,182,183,183,186,187,185,187,188,74,7,60,70,77,89,110,128,140,148,152,155,159,162,173,168,134,179,183,181,182,184,184,187,187,188,188,188,59,11,65,70,80,92,116,132,141,149,155,158,161,161,191,171,84,157,159,183,184,186,187,188,188,188,188,188,46,18,67,71,81,93,119,135,143,150,157,158,170,159,180,165,98,156,106,174,190,188,190,190,190,190,190,190,33,25,69,73,84,96,122,136,146,153,159,156,192,145,153,158,106,172,106,161,196,189,191,192,192,192,191,192,19,33,70,74,85,99,125,138,146,153,160,161,199,132,163,161,111,174,105,148,199,190,193,194,194,193,193,194,9,42,70,75,86,103,127,139,146,153,162,166,202,115,158,156,108,179,116,144,200,191,194,195,196,196,196,196,8,51,73,78,88,107,130,140,150,154,183,146,185,108,162,157,107,168,113,141,204,194,197,198,197,198,198,199,9,57,72,79,90,110,131,142,147,170,175,122,173,113,190,157,105,180,122,134,207,196,200,200,200,200,200,199,14,62,73,80,89,112,133,143,147,193,152,116,164,120,200,143,112,208,131,135,207,198,201,202,201,202,202,202,20,66,73,82,92,116,135,145,153,206,128,136,172,119,173,114,112,199,117,140,208,200,204,204,204,204,205,205,27,69,74,83,95,117,136,144,165,206,108,135,148,101,160,98,131,191,108,144,209,201,205,205,206,207,206,206,33,71,74,85,96,118,137,140,180,204,103,119,157,149,146,173,179,179,106,148,211,203,206,207,206,208,208,208,40,73,77,86,98,122,139,140,198,184,117,125,186,170,144,174,164,163,101,146,215,204,209,210,209,208,208,209,47,74,77,86,100,125,138,145,211,195,174,166,199,190,175,156,143,135,94,145,216,205,208,210,211,211,211,210,52,74,77,87,101,127,135,161,225,177,166,170,159,159,199,195,170,140,90,142,216,206,210,212,213,213,213,212,60,74,80,89,102,129,130,188,215,152,128,124,94,122,195,192,184,163,101,134,219,206,210,212,213,214,214,213,65,74,82,90,106,133,132,203,205,152,147,155,143,195,207,194,166,145,98,101,216,211,213,214,214,215,216,215,69,75,82,90,108,135,134,202,212,169,152,159,199,236,213,186,151,112,93,74,194,218,214,216,216,216,216,216,71,74,82,90,109,133,135,194,226,187,166,158,200,240,215,173,143,99,81,72,190,220,214,217,217,217,217,217,73,75,85,92,111,132,136,182,228,187,170,160,190,231,204,167,131,101,73,93,215,216,216,218,218,218,219,219,73,76,86,94,114,134,142,170,219,185,177,164,172,214,195,162,122,100,67,149,226,216,219,219,221,221,221,221,74,76,86,94,115,134,145,160,207,191,188,176,193,206,174,141,110,90,79,197,220,220,221,221,222,222,223,222,73,77,85,95,117,134,145,155,190,192,184,169,180,188,153,124,106,79,103,220,218,221,221,222,223,224,225,224,73,77,85,93,117,133,147,156,173,188,178,167,152,156,141,118,108,72,125,225,218,222,223,225,225,224,224,224,73,77,84,92,116,130,144,155,162,186,179,163,154,152,152,131,106,69,156,224,214,219,222,223,224,224,223,223,73,75,82,91,116,130,143,151,185,193,183,180,167,154,144,129,98,66,172,224,215,219,221,222,224,224,224,224,73,74,81,91,116,129,143,154,213,207,156,181,169,150,122,109,95,59,153,225,213,220,222,224,224,224,224,224
11,139,142,145,148,151,153,155,157,158,159,160,160,160,160,160,160,160,159,158,158,157,155,153,152,151,149,147,145,141,144,147,150,152,155,157,158,160,161,161,161,161,160,160,161,160,160,159,158,158,156,154,153,152,150,149,147,144,147,150,153,155,157,159,161,162,163,163,163,163,157,148,160,162,161,160,159,158,157,156,155,153,152,151,148,147,150,152,155,158,161,163,164,165,165,166,165,169,161,127,155,164,163,163,162,160,160,158,157,155,154,151,133,150,152,155,158,161,164,165,166,167,168,168,168,176,167,118,150,166,166,165,164,164,162,160,159,157,156,144,100,151,155,158,161,164,166,167,168,170,171,171,171,185,167,112,150,169,168,167,166,166,165,163,161,160,159,132,74,154,157,160,164,166,168,170,171,173,173,173,175,195,166,114,156,171,171,170,169,167,167,166,165,164,160,125,65,157,160,163,166,168,171,173,177,173,164,173,167,180,156,118,160,174,173,173,172,170,170,168,168,166,163,134,79,159,163,166,169,171,173,179,194,178,141,149,139,123,130,114,151,175,176,175,175,174,172,171,171,169,167,148,97,161,164,168,171,174,178,197,205,191,153,118,114,97,109,105,137,176,178,177,177,176,175,174,173,172,170,160,118,164,166,170,173,177,193,210,185,178,164,114,96,93,111,108,139,179,181,180,180,179,178,176,175,174,172,169,148,166,168,172,175,186,210,198,155,151,156,106,88,89,110,108,144,182,184,183,182,181,180,179,177,176,175,173,167,167,170,174,178,200,215,176,138,143,137,89,87,87,103,105,152,185,186,186,185,183,182,181,179,178,177,176,173,169,172,175,180,208,211,164,121,116,112,85,85,87,100,105,164,188,187,187,186,185,183,182,180,180,179,178,176,170,174,177,183,214,213,168,120,88,84,91,81,93,101,104,169,190,189,188,188,186,184,183,182,181,181,180,178,172,176,178,187,220,213,166,117,81,72,90,81,106,103,87,144,187,191,189,186,181,175,171,169,171,179,182,180,174,177,180,192,226,213,166,122,87,71,76,76,102,97,75,102,158,176,172,162,153,144,136,127,125,150,179,182,175,178,182,196,228,211,169,129,96,78,79,89,107,109,101,103,117,131,137,142,140,128,116,112,108,130,177,183,176,180,183,198,227,210,171,134,103,85,91,120,140,140,132,122,112,114,124,127,121,116,128,150,160,169,183,184,178,182,185,199,226,212,177,142,112,94,105,138,146,138,129,120,107,100,106,120,140,158,177,189,190,189,187,185,180,184,187,203,228,214,182,145,120,103,114,136,139,129,116,106,96,102,135,171,188,193,194,193,193,191,189,186,181,185,189,212,230,212,178,143,120,106,113,124,127,118,102,99,121,159,187,198,198,196,196,195,194,193,190,188,183,186,197,224,226,200,166,134,114,106,110,111,113,107,103,138,181,198,201,200,199,198,197,196,195,194,192,190,183,190,217,231,217,189,156,128,111,107,106,100,102,114,150,191,204,204,202,201,200,199,198,197,196,195,194,192,184,198,229,227,203,177,150,129,113,104,97,96,129,172,198,206,206,205,203,202,201,200,199,198,197,196,194,193,185,207,231,218,182,153,138,124,107,95,89,121,181,206,208,208,207,206,205,204,203,202,200,199,198,196,195,193,190,217,231,208,162,133,122,112,97,87,106,170,206,210,210,209,208,207,206,204,204,203,201,201,199,197,195,194,198,225,229,198,147,123,115,104,89,88,142,199,211,212,212,210,209,208,207,205,204,204,203,202,201,198,197,196
11,142,148,155,163,168,172,177,181,185,187,189,194,207,178,195,193,193,194,193,193,193,192,190,191,169,196,209,214,147,154,162,169,173,178,183,187,191,194,192,201,226,138,192,199,196,196,195,194,193,192,191,187,187,214,216,221,151,157,168,177,181,186,191,195,198,200,200,207,252,132,171,210,200,200,199,199,198,196,194,189,212,153,211,226,157,163,174,182,188,192,198,202,205,209,207,217,255,127,156,220,206,207,205,204,204,202,200,197,199,204,229,223,161,168,180,189,195,199,205,211,214,217,215,226,249,121,160,226,212,214,213,211,210,209,206,203,201,208,177,215,164,172,186,196,202,207,213,218,221,224,222,237,255,125,168,234,220,222,221,219,218,215,211,208,208,197,176,220,168,177,192,201,208,213,220,224,227,233,226,255,246,105,186,240,228,229,228,226,224,221,218,215,213,210,207,227,173,183,199,208,214,219,225,231,234,239,233,255,245,103,209,245,235,235,235,233,231,228,225,221,219,215,212,237,177,187,204,213,219,224,231,237,240,241,245,254,167,109,218,249,241,240,239,240,238,235,233,228,226,222,217,240,182,192,207,217,225,232,236,242,246,241,255,248,126,103,225,254,246,245,245,245,243,242,239,235,231,227,224,242,185,195,212,222,228,235,242,243,252,252,180,204,168,115,237,255,251,250,251,249,248,246,242,241,236,235,228,240,188,201,216,226,232,239,243,255,255,249,117,116,187,126,227,255,255,254,255,253,252,250,247,242,248,211,127,254,191,204,220,230,236,240,255,206,207,222,166,112,173,131,199,255,255,255,255,255,255,255,255,249,255,149,74,158,193,207,223,232,236,255,255,194,114,145,203,127,135,137,162,255,255,255,255,255,255,241,225,222,213,102,88,77,195,210,225,233,255,255,234,228,187,116,165,139,112,154,123,255,255,255,255,250,250,226,201,199,169,103,88,87,198,213,225,255,255,195,144,194,222,136,111,127,99,185,152,224,255,255,255,255,255,221,187,162,133,91,80,82,200,215,230,255,244,172,129,106,203,142,101,132,82,174,196,134,216,255,255,245,200,158,108,73,71,72,69,79,200,217,230,255,216,146,113,79,167,155,107,149,88,125,184,144,219,255,233,172,120,90,61,65,66,63,71,65,202,219,228,253,212,153,124,98,123,163,120,165,122,186,199,173,209,202,148,87,62,82,76,55,60,63,75,38,201,218,227,255,235,175,138,113,110,134,151,185,177,241,197,149,164,119,60,73,59,62,80,68,48,52,53,49,202,220,230,255,241,187,159,124,124,137,208,255,255,226,171,143,109,71,52,58,72,55,63,74,59,49,47,50,205,222,232,255,248,207,170,131,143,148,239,255,242,200,152,120,43,52,75,45,65,68,53,58,67,50,47,48,195,210,221,253,247,216,175,146,155,154,230,252,212,168,138,104,44,32,71,63,48,66,62,50,56,59,40,47,142,146,139,194,245,224,184,166,161,157,206,236,201,156,124,77,65,24,54,72,56,53,62,53,45,58,44,38,143,144,140,157,233,228,192,180,164,149,191,213,187,143,83,43,78,30,34,67,64,57,54,53,42,47,52,34,145,145,146,149,231,225,199,184,165,135,170,173,147,104,46,34,74,50,19,55,68,56,53,51,44,41,43,44,145,146,147,148,232,236,204,182,160,138,146,147,106,42,48,40,62,68,23,35,67,59,50,52,48,42,38,39,144,146,149,137,216,235,186,165,153,141,143,130,83,39,21,46,51,74,43,21,54,62,48,49,49,41,39,34
4,44,61,77,84,91,96,100,104,106,109,113,116,118,121,124,125,129,128,130,133,132,134,135,134,135,135,135,136,45,64,79,86,93,97,102,104,108,112,116,117,121,124,123,128,126,131,133,135,139,137,136,137,139,138,139,138,48,67,79,86,93,98,103,107,110,112,114,117,111,116,133,136,103,90,130,123,120,140,138,139,140,140,141,139,50,69,81,89,95,99,105,110,111,107,126,158,118,94,133,155,99,40,87,114,49,80,146,140,141,141,143,142,52,71,83,90,96,100,106,110,118,127,100,125,158,96,81,140,83,35,37,89,56,24,129,148,142,143,145,145,53,74,84,92,97,101,108,106,150,145,112,78,98,86,49,96,69,25,39,92,56,12,121,151,143,146,147,146,56,75,85,92,97,103,103,124,163,154,130,99,40,45,40,118,86,9,89,98,36,13,141,147,145,147,148,148,59,77,86,93,99,104,102,145,128,117,123,72,31,21,37,129,84,66,120,71,5,37,154,148,147,149,151,150,61,78,88,95,100,106,105,158,108,101,110,37,18,29,7,60,95,137,113,90,36,62,163,147,150,150,151,151,66,79,87,95,101,104,115,166,123,123,95,43,2,61,78,97,117,114,92,102,77,65,152,151,150,152,152,152,67,81,86,95,105,103,130,158,104,87,80,49,0,94,117,99,99,74,93,122,100,68,85,159,150,156,155,154,71,81,88,98,104,100,143,146,97,68,52,16,0,11,60,61,54,17,91,130,121,104,50,106,164,153,158,157,70,83,89,99,105,105,169,151,108,83,59,33,7,0,7,14,44,93,97,121,133,110,74,41,141,160,157,157,73,84,89,99,103,114,182,142,113,97,59,35,20,34,69,100,140,155,136,124,109,100,88,43,94,169,156,159,77,84,90,101,101,126,189,150,133,100,57,51,34,76,131,152,160,153,130,114,86,72,77,40,103,168,158,160,78,84,91,102,98,142,190,154,129,86,64,61,51,121,154,161,164,159,127,99,72,52,48,53,151,160,161,161,78,84,92,104,99,147,188,150,115,85,82,66,83,144,151,159,162,144,111,86,63,46,32,116,168,160,162,161,79,84,92,104,98,149,184,143,119,107,101,84,113,144,149,154,148,122,98,72,56,31,66,167,161,163,164,164,81,85,93,102,101,146,176,148,140,130,110,103,134,141,148,140,124,108,81,64,46,33,144,168,163,165,166,167,80,85,94,103,103,134,175,158,150,129,107,101,127,134,132,118,102,90,67,54,30,98,173,162,163,166,167,167,81,86,96,105,105,122,171,152,143,126,101,84,103,115,115,104,86,73,59,36,57,164,163,165,164,166,166,167,81,89,97,104,110,118,167,143,127,114,93,84,96,110,107,89,68,60,44,33,138,168,164,166,167,168,168,169,81,89,97,104,110,114,158,129,113,103,86,95,90,101,104,82,64,53,22,105,171,162,166,166,168,168,169,169,82,89,98,105,109,125,159,130,116,110,111,116,89,82,90,69,55,32,60,165,163,166,168,168,169,169,169,169,82,89,100,104,114,170,137,124,128,117,114,103,83,71,77,60,47,25,128,169,163,167,168,168,169,170,169,170,83,90,100,100,157,168,164,79,95,126,105,90,77,62,62,53,41,23,148,166,165,167,167,168,169,171,170,172,83,94,95,123,178,158,166,148,36,83,92,78,69,47,52,46,33,25,154,165,165,167,169,169,169,171,172,173,84,92,97,166,162,161,159,172,120,18,58,72,57,32,44,40,30,23,152,168,166,167,169,171,171,172,173,174
13,186,189,193,195,197,198,200,201,202,205,204,204,205,207,207,207,207,207,206,206,205,204,202,202,201,201,199,199,187,190,194,196,198,199,200,203,204,206,206,206,207,208,208,207,207,208,208,208,207,206,205,204,203,203,201,200,187,191,195,197,199,200,201,204,206,207,208,209,209,210,211,212,214,209,209,213,212,206,207,206,205,204,203,203,188,192,196,198,199,201,203,205,207,208,209,211,211,211,207,187,185,215,207,187,190,211,208,208,207,206,205,203,189,192,197,199,200,202,204,206,208,208,210,213,211,213,201,171,140,174,189,159,123,172,217,208,208,207,206,204,189,193,197,200,201,202,205,207,209,210,211,213,211,218,219,186,167,123,163,171,130,122,216,210,209,208,207,206,190,194,199,201,202,204,207,208,210,211,212,213,213,215,226,193,167,118,142,171,138,109,205,214,210,209,208,206,191,195,199,201,202,205,208,210,211,212,214,214,215,215,214,193,157,122,118,149,127,102,200,216,210,210,210,209,191,195,198,202,204,205,209,211,212,214,214,215,212,221,210,192,153,130,109,140,123,102,202,216,211,212,211,209,191,196,200,204,204,207,209,211,213,215,216,206,167,159,162,181,178,146,116,153,137,111,212,215,214,212,211,209,192,197,201,202,204,207,209,211,214,214,225,198,154,136,125,178,206,163,121,144,141,96,190,222,213,214,212,211,193,197,201,203,206,208,210,212,214,211,201,194,166,161,125,128,193,154,115,126,122,103,133,221,215,214,213,213,193,197,202,205,206,209,212,211,215,203,147,150,186,166,147,89,99,94,110,124,119,133,113,179,225,213,213,213,193,197,202,206,207,208,210,215,228,188,153,129,174,174,152,121,71,88,99,122,148,150,131,127,222,216,215,213,192,198,202,206,208,209,210,225,207,181,166,152,140,174,155,141,89,102,139,148,161,153,139,109,205,221,215,214,193,199,203,206,207,209,213,228,186,175,174,155,132,156,159,132,94,102,171,185,176,142,133,110,207,221,216,216,195,199,203,207,208,209,214,225,193,152,152,149,132,116,134,110,94,116,181,183,178,147,115,121,221,218,217,216,194,200,204,208,210,210,214,215,199,173,142,126,104,80,113,125,110,150,198,180,171,146,103,145,230,217,218,215,195,200,204,208,209,211,214,216,214,192,161,136,121,112,123,132,139,203,200,174,159,140,98,175,230,219,219,216,195,201,205,209,209,213,214,214,212,200,177,165,146,144,157,175,196,209,189,168,149,132,100,202,226,219,219,218,195,200,206,208,209,213,213,215,208,194,179,160,142,142,163,210,204,194,177,159,141,118,112,222,223,220,220,218,195,201,205,208,209,212,214,217,198,184,178,161,148,149,155,194,197,187,167,147,135,105,131,233,221,222,220,219,195,201,205,209,211,213,215,221,202,186,179,164,159,153,154,190,195,185,161,136,127,91,172,234,222,222,220,219,195,201,206,209,210,212,214,220,218,187,178,172,161,149,147,175,185,172,145,125,107,105,221,226,224,222,220,219,196,201,207,209,210,212,215,218,222,207,182,172,158,149,143,160,173,160,135,122,90,164,235,223,223,222,221,219,196,201,207,209,210,213,215,218,219,223,198,171,154,144,145,152,166,158,135,118,99,212,228,225,224,223,221,219,195,200,206,208,210,211,215,217,219,219,207,182,168,162,164,160,163,160,131,107,133,230,223,223,223,221,220,219,193,199,204,207,208,210,214,216,219,213,211,190,181,179,172,166,163,152,128,101,165,234,223,222,221,221,219,218
5,164,165,166,168,170,171,171,171,171,171,170,171,170,169,169,169,168,167,166,165,163,162,161,160,159,158,157,156,166,167,168,170,171,172,172,173,173,172,172,171,169,170,170,170,170,169,167,166,165,164,163,162,161,159,158,157,167,169,171,172,173,174,174,174,175,174,175,174,152,161,172,172,172,171,170,168,167,166,165,164,163,161,160,159,170,171,172,174,175,176,176,174,177,177,180,175,131,145,173,174,173,172,171,169,169,167,167,166,164,163,162,161,172,172,173,175,176,181,171,155,175,179,184,170,120,143,174,176,175,174,172,172,171,170,169,167,166,165,163,162,173,174,175,177,180,187,156,131,171,180,182,155,115,155,178,178,177,176,174,171,171,172,171,170,169,167,165,163,175,176,178,179,184,184,134,130,174,180,172,140,119,167,181,180,178,178,175,154,159,173,173,172,171,169,167,166,176,178,180,181,190,170,116,150,182,173,156,125,126,173,181,178,177,177,161,128,147,174,176,174,172,171,169,168,178,179,181,184,199,165,116,165,183,163,140,111,139,174,170,169,163,147,125,128,162,177,178,176,174,172,170,170,180,181,182,189,204,158,117,170,177,156,131,106,143,150,153,156,129,114,135,163,177,179,179,177,175,173,172,171,181,183,185,193,202,148,116,169,166,153,130,103,115,118,126,123,115,142,174,181,181,180,179,178,177,175,173,172,183,185,187,192,204,173,122,144,146,139,116,91,93,98,97,120,152,177,184,184,182,181,180,180,178,177,174,173,185,187,190,192,204,192,138,114,117,116,95,83,93,95,116,165,183,186,186,185,183,182,181,181,180,178,176,174,188,189,191,193,201,202,169,128,109,103,87,81,95,111,156,186,188,188,187,186,185,184,183,182,181,180,177,176,190,191,193,194,201,216,197,150,109,93,88,86,97,139,171,174,176,184,187,187,187,186,185,183,182,181,179,177,192,193,195,196,203,220,200,150,104,85,83,89,99,129,145,151,160,166,172,178,181,182,184,185,184,182,180,179,193,194,196,198,207,219,195,144,96,78,77,90,99,112,133,144,163,167,169,173,170,154,172,187,185,183,182,180,195,196,198,200,213,220,198,148,99,75,74,88,95,99,112,113,140,156,157,166,163,139,159,187,187,185,183,182,196,198,199,204,219,218,195,146,101,76,71,79,83,94,114,126,158,166,160,171,173,143,153,186,188,186,184,182,198,199,201,212,220,213,191,142,100,73,66,73,82,128,173,186,194,189,183,182,153,133,171,191,190,188,185,183,199,200,204,220,218,210,187,138,95,71,69,80,90,117,165,193,189,174,170,160,116,144,190,193,192,190,188,186,200,201,211,224,216,207,178,126,88,71,79,91,100,108,124,152,164,168,158,125,98,161,196,195,193,191,189,188,197,189,208,221,213,201,165,115,86,79,97,112,120,117,111,125,149,154,135,104,119,181,198,197,195,193,191,189,172,128,145,191,206,190,153,112,88,90,110,122,123,114,109,113,128,124,116,136,176,197,200,199,196,194,192,190,117,83,82,115,159,166,142,111,88,94,113,116,110,99,99,94,98,122,161,191,201,202,201,200,196,194,193,191,82,72,68,71,87,108,110,89,73,80,98,100,93,85,89,97,131,179,201,206,205,203,202,200,198,196,194,193,76,68,63,63,62,63,56,47,47,54,67,74,74,86,129,170,196,207,208,208,207,205,203,201,199,196,195,194,69,63,61,59,57,55,38,27,32,35,40,47,68,130,190,208,211,210,209,209,208,206,204,201,200,197,195,195
4,188,189,189,191,191,189,189,189,190,188,187,188,188,186,182,184,187,186,181,180,180,178,179,177,176,174,172,172,190,191,192,194,194,194,192,192,192,190,188,191,188,193,195,182,166,169,185,182,182,181,180,179,178,177,175,175,193,194,195,196,197,197,196,193,191,198,208,206,180,155,197,230,190,128,116,197,189,186,180,181,180,178,177,176,197,198,199,198,198,199,195,199,203,159,197,220,185,113,81,187,185,119,59,123,159,166,189,184,181,179,180,178,198,198,200,200,201,194,215,232,189,126,80,187,161,98,48,128,151,87,59,41,101,94,115,191,181,180,180,181,200,201,199,202,201,200,249,240,172,125,56,163,150,96,39,100,133,89,52,53,96,71,47,180,188,184,182,182,202,202,201,204,201,214,242,234,187,201,86,114,191,161,38,72,167,136,59,73,107,69,47,175,190,186,184,183,203,203,203,205,203,214,249,206,217,236,116,79,226,169,41,51,188,145,55,81,162,112,66,179,192,187,185,184,203,205,205,207,207,206,249,222,206,169,89,61,153,121,56,50,107,117,20,76,207,130,90,193,191,190,187,186,206,207,207,208,205,213,255,253,219,175,129,101,66,61,67,92,154,164,74,65,146,99,129,203,191,189,189,188,209,208,209,213,203,234,255,237,198,178,152,137,115,133,142,165,211,156,105,73,69,40,170,202,195,191,190,189,210,211,210,215,204,249,255,208,166,136,149,228,185,194,215,174,187,140,128,89,71,61,184,200,196,195,194,191,211,213,213,215,209,255,255,211,178,143,141,219,187,191,203,189,167,162,158,107,56,50,180,203,193,196,194,191,212,217,216,214,218,255,255,218,183,150,119,141,153,148,168,144,136,197,186,128,71,42,173,207,196,197,195,194,216,218,218,212,229,255,249,221,179,130,115,100,78,83,138,93,115,211,202,139,90,45,159,212,199,198,197,196,219,220,220,214,241,255,250,221,164,128,131,121,95,126,214,207,156,209,218,138,103,46,146,215,199,199,197,196,220,220,223,214,246,255,252,217,162,137,146,124,102,219,250,228,210,180,204,148,115,60,122,219,200,201,199,198,222,221,224,217,252,255,240,186,160,160,148,108,177,255,252,231,198,187,157,136,110,67,136,218,202,203,200,199,224,223,225,218,255,255,224,183,196,160,126,128,250,255,252,224,186,165,142,107,95,59,183,211,204,203,200,200,225,226,223,232,255,255,220,204,202,153,109,192,255,252,234,208,178,148,129,99,69,76,213,206,207,204,201,201,226,225,238,169,247,255,219,207,209,142,155,229,255,235,213,194,171,138,109,89,40,146,221,207,208,206,204,203,226,236,211,58,102,239,230,212,199,128,172,227,246,217,201,186,153,119,96,63,70,214,211,209,211,208,206,204,233,228,93,65,53,81,186,207,167,121,147,219,222,197,180,164,135,103,80,40,170,225,212,214,213,210,208,206,245,132,55,66,67,51,63,119,123,100,129,179,195,174,158,139,114,88,42,105,229,214,215,215,214,213,210,207,164,69,75,57,51,61,54,45,51,84,117,141,164,146,132,107,89,50,58,216,222,217,217,216,214,213,210,207,71,70,70,53,51,51,50,58,33,39,76,101,123,102,84,74,53,40,187,230,219,222,221,218,216,214,212,210,75,68,54,53,47,49,46,50,48,0,15,31,50,50,33,27,36,177,236,219,223,222,222,219,217,215,214,212,67,59,51,51,44,44,40,41,56,15,0,8,7,8,11,0,102,248,222,225,225,223,223,221,218,216,215,213
1,159,160,161,162,161,163,165,164,166,166,166,164,151,162,165,164,163,162,162,161,161,160,160,158,156,156,155,154,162,163,163,164,166,167,167,168,168,172,174,169,126,114,173,167,169,167,166,166,165,164,163,162,162,161,159,157,165,167,167,168,170,170,170,172,172,160,155,179,144,69,98,119,171,172,169,170,169,168,167,165,164,164,163,161,168,169,170,170,172,173,174,174,176,152,88,164,159,60,78,95,124,184,169,172,170,170,169,168,166,164,165,164,170,172,173,173,174,175,177,177,177,169,90,136,164,68,87,120,72,180,175,175,174,173,172,170,170,169,167,167,171,174,175,177,178,178,178,180,178,180,103,105,171,92,98,134,64,161,183,176,177,175,176,175,172,171,171,171,175,176,177,178,179,180,181,170,168,186,121,85,152,91,107,152,77,139,190,177,179,178,178,177,177,175,173,172,177,178,178,179,180,182,185,150,106,186,138,68,136,94,96,151,84,127,195,180,183,181,179,179,179,178,177,173,178,180,181,182,182,184,186,166,86,166,142,61,144,120,67,153,102,116,195,181,183,182,181,182,181,180,179,178,179,182,183,184,185,185,188,169,88,150,164,74,120,131,64,149,133,107,197,183,185,184,183,184,184,183,181,180,181,184,184,185,186,186,190,174,92,139,174,79,78,116,104,146,107,92,188,189,188,187,185,185,186,185,184,184,183,186,187,186,188,188,190,178,106,101,166,80,81,107,109,131,85,82,84,121,199,186,186,186,186,184,184,184,186,187,189,189,191,191,188,186,121,76,146,105,111,101,112,125,116,92,59,64,176,194,188,188,187,185,185,186,186,188,189,190,192,193,189,183,137,114,128,103,113,101,132,157,115,68,107,95,119,203,188,190,189,187,186,185,187,190,191,193,193,193,194,190,157,125,116,97,109,112,136,147,121,120,173,141,92,185,194,191,190,191,188,188,188,191,194,193,194,195,195,196,164,121,101,94,106,116,145,153,157,148,134,153,86,132,205,189,191,190,190,190,190,191,193,193,195,196,194,199,176,128,88,95,109,121,160,162,184,182,146,116,67,71,199,192,192,191,190,191,191,193,195,196,196,199,195,197,197,147,96,99,112,140,159,168,178,171,144,112,61,55,190,197,195,192,191,192,191,193,196,198,196,199,198,194,205,174,123,94,115,149,165,181,185,168,143,120,57,85,204,195,196,194,194,193,193,194,197,199,199,201,202,190,208,197,154,108,109,139,173,193,187,171,158,117,49,125,212,195,198,197,196,194,193,195,198,200,201,202,204,190,203,206,173,127,118,135,174,198,190,183,156,102,47,164,208,197,198,198,197,194,195,198,199,201,201,201,203,195,190,200,188,141,129,134,169,188,199,182,137,82,61,196,202,200,200,200,199,195,195,199,199,201,201,201,203,204,176,187,189,153,129,128,159,181,182,154,109,56,93,215,201,201,201,200,200,198,194,197,198,200,201,201,201,206,182,168,175,155,137,129,138,155,144,108,71,45,163,211,201,201,201,200,200,199,194,198,198,200,201,201,202,203,200,162,164,157,143,138,116,118,123,91,44,108,212,201,203,201,201,200,199,196,196,199,199,199,201,202,203,203,207,178,171,154,136,133,104,103,109,72,46,183,208,202,202,201,201,199,198,196,196,198,199,200,201,201,203,203,206,182,173,144,128,129,113,104,89,50,80,210,202,203,202,202,201,201,200,197,196,198,200,200,201,202,201,203,209,180,182,170,150,148,126,112,80,41,104,216,203,205,205,203,202,201,201,198
4,180,180,180,180,180,179,179,178,178,176,177,175,175,174,172,171,169,168,167,167,167,166,165,165,162,160,159,158,181,181,181,182,181,180,180,180,179,179,176,176,175,172,163,162,170,171,169,168,168,167,165,166,163,160,160,158,183,183,183,182,182,182,181,181,178,163,154,163,171,164,136,112,131,170,169,166,169,168,167,165,164,163,160,160,185,185,184,182,183,184,182,182,181,169,160,140,130,133,145,129,102,134,137,118,126,163,168,167,166,164,162,161,185,185,184,184,184,184,183,179,178,171,166,159,137,104,100,132,120,94,87,99,81,124,169,168,166,165,164,163,187,186,185,186,186,184,175,166,162,148,114,108,138,96,67,111,114,89,62,92,87,85,167,169,166,165,163,162,187,187,187,187,187,186,182,179,163,149,109,76,120,97,66,90,98,76,66,102,95,71,160,169,166,166,164,163,188,188,188,188,187,186,164,144,126,152,119,82,102,115,99,88,90,64,75,105,95,70,158,169,167,166,164,163,189,189,188,189,188,188,172,121,79,118,143,113,104,129,140,123,104,95,94,105,111,84,157,169,169,166,165,164,189,190,189,190,189,189,169,122,69,54,140,121,95,113,129,133,106,105,106,104,112,83,123,171,170,168,166,166,190,191,191,191,189,187,151,110,89,81,78,89,76,72,77,109,105,102,100,99,95,84,84,170,171,169,167,167,193,192,192,192,189,186,164,148,122,92,66,62,72,68,69,73,95,98,93,90,97,95,69,155,171,170,168,166,192,193,192,192,191,187,168,151,119,87,64,64,71,75,86,77,65,62,90,111,122,105,75,121,172,170,167,166,193,193,194,193,192,188,175,144,109,80,64,65,75,93,95,93,89,97,114,135,131,114,92,87,172,170,169,167,193,194,195,194,191,190,167,138,109,79,65,73,84,98,108,109,126,145,143,125,150,137,107,71,161,171,171,169,194,194,195,195,192,190,176,153,121,90,72,75,85,110,122,127,140,155,161,149,140,137,105,64,148,172,171,169,195,195,195,195,194,188,176,156,129,96,72,74,92,114,129,143,150,162,160,149,136,112,91,61,153,173,171,169,195,195,195,195,195,186,175,164,140,109,83,76,84,115,136,151,162,167,156,138,123,100,72,77,171,174,172,170,195,195,195,195,195,183,170,168,148,121,98,79,80,119,147,160,171,167,151,129,113,87,57,128,174,174,172,170,195,195,195,196,194,182,165,165,151,126,105,87,85,120,155,164,168,158,140,120,101,78,68,169,176,174,173,172,195,196,197,197,196,181,163,158,150,133,111,93,94,124,160,160,156,147,128,109,90,64,118,178,176,175,172,171,196,196,198,198,197,182,162,157,155,140,116,105,100,129,155,154,148,134,115,98,79,65,164,179,177,175,173,172,196,197,198,198,197,189,165,160,158,144,123,112,100,131,148,148,141,122,102,84,62,107,180,180,179,175,174,173,197,198,198,198,198,197,172,165,165,149,130,113,100,122,143,140,129,109,88,70,65,166,181,180,179,176,175,173,198,199,198,198,198,197,177,174,166,148,134,118,101,111,130,125,111,90,74,55,133,182,182,180,179,177,175,173,199,199,199,199,199,196,184,177,164,149,137,122,107,105,115,109,93,76,56,98,179,184,182,179,178,178,175,174,199,199,199,199,200,196,185,177,160,146,134,122,113,104,104,100,84,65,58,168,184,183,182,180,178,177,176,174,199,199,199,199,200,192,184,173,162,153,146,136,127,111,100,95,75,57,109,184,186,185,182,180,179,177,175,174
7,132,140,145,145,150,155,160,163,165,167,169,171,172,174,176,177,178,179,179,179,179,179,179,178,177,178,176,176,133,140,145,146,151,155,160,164,166,168,170,172,175,176,177,178,179,181,181,181,181,181,183,180,179,179,178,177,135,141,146,147,151,157,161,164,167,170,171,173,176,177,178,179,181,182,182,182,182,182,182,182,181,181,179,178,135,142,145,147,152,158,161,164,168,170,172,174,176,179,180,181,182,183,183,183,182,183,184,183,183,182,181,180,137,143,146,148,153,158,162,165,168,171,174,176,178,180,181,182,182,184,183,183,184,184,184,184,184,183,182,181,138,145,148,150,154,159,162,166,169,171,175,177,179,182,182,184,183,185,185,185,185,185,184,185,185,184,184,182,139,145,150,151,155,160,165,168,170,173,178,178,181,183,184,186,186,187,187,187,187,186,186,186,186,185,185,183,139,146,150,152,157,159,162,169,170,173,175,177,177,182,184,184,186,188,188,188,190,187,186,187,187,186,186,184,139,147,151,151,153,165,186,187,177,180,188,188,188,185,177,173,181,177,179,178,183,189,191,189,188,188,188,187,141,148,147,154,180,201,204,194,175,167,181,192,195,191,175,175,193,180,169,161,148,172,178,188,189,189,188,189,138,147,172,199,204,200,203,193,167,160,169,179,183,182,162,161,178,168,161,155,146,159,147,190,195,191,189,190,162,195,206,203,200,202,201,181,162,161,174,194,198,202,185,181,176,169,181,173,159,154,159,169,178,192,191,190,208,207,203,209,203,203,206,192,142,132,138,159,164,167,171,176,174,176,182,185,175,171,175,158,170,168,188,190,209,209,208,209,205,209,215,186,130,112,120,109,95,114,132,142,146,148,147,152,154,154,156,150,162,153,190,193,213,210,208,210,208,210,206,156,119,114,116,118,97,77,93,181,183,186,184,181,176,170,170,167,166,182,193,191,209,208,205,207,206,209,197,148,107,109,126,127,123,103,101,194,195,195,196,198,198,198,198,197,196,194,192,192,213,211,210,213,214,219,202,139,105,93,86,121,141,118,96,170,198,193,195,194,194,193,192,192,192,192,192,191,211,210,207,201,202,203,167,131,108,107,82,91,120,120,116,179,197,193,195,196,196,195,195,195,193,194,194,193,199,197,187,179,185,172,144,129,121,110,105,97,127,152,174,193,194,195,196,196,197,197,197,196,194,195,194,194,185,176,172,169,171,150,124,119,115,118,103,102,179,196,193,192,193,195,196,197,197,198,196,196,196,197,194,194,161,161,153,140,130,129,144,153,133,132,133,153,190,188,190,193,195,196,196,197,196,197,197,196,196,196,195,194,133,130,121,123,139,160,173,179,181,181,185,188,188,190,192,194,195,196,196,196,196,196,197,196,194,194,194,194,110,105,105,125,134,130,129,130,130,130,130,130,131,132,134,132,133,135,135,133,131,130,130,129,127,127,126,125,89,105,111,107,111,109,108,106,106,106,106,106,107,108,106,104,103,104,105,106,107,106,106,105,102,101,102,101,105,111,115,115,116,117,115,115,116,117,117,116,116,115,114,118,118,114,114,113,113,113,113,111,108,110,110,102,107,110,115,116,115,116,115,113,114,115,115,114,113,113,112,118,119,117,118,113,111,110,110,110,110,107,102,136,108,106,116,116,116,116,115,115,116,116,115,115,116,114,114,114,112,113,114,112,111,110,110,111,106,116,168,192,106,101,112,118,117,118,118,116,117,118,117,117,117,117,117,115,113,113,113,112,113,111,109,108,111,187,182,163
7,150,152,154,155,158,159,160,161,161,162,162,163,163,164,165,163,162,163,163,162,162,162,161,159,158,157,155,155,153,154,156,158,160,160,162,164,164,163,164,165,165,165,165,165,165,164,165,164,164,165,163,162,160,158,158,157,154,157,158,159,161,162,164,165,165,165,166,165,166,165,165,166,166,166,165,165,165,166,165,164,163,161,160,158,155,157,159,161,162,165,164,165,167,167,167,168,168,167,168,169,168,168,169,168,167,167,167,166,165,163,161,161,157,158,160,162,164,165,166,167,169,168,168,169,170,171,171,171,171,170,170,170,169,169,169,168,166,165,164,163,158,160,163,164,165,167,169,169,170,171,171,171,171,172,172,171,172,171,172,171,172,171,169,168,167,166,165,164,159,162,165,166,168,169,170,170,172,172,172,173,173,173,173,172,173,173,174,173,173,172,171,170,169,169,168,166,161,164,167,168,169,170,171,172,173,173,174,174,174,175,175,175,175,176,175,175,174,173,173,172,171,171,169,167,164,165,167,169,171,172,173,175,175,175,177,177,175,176,177,177,177,177,177,176,176,175,174,173,172,171,171,170,164,165,168,171,173,174,174,174,178,179,169,174,177,177,177,178,178,179,179,178,176,176,173,173,175,173,172,171,165,168,170,171,172,174,178,183,189,185,153,138,158,170,169,168,170,174,169,172,166,172,161,194,180,168,175,172,166,168,170,174,179,186,187,188,189,188,174,129,131,151,158,158,156,149,151,154,153,158,147,155,142,171,176,174,166,174,183,188,189,188,185,181,174,173,161,128,119,130,146,155,156,157,152,144,148,149,138,145,141,166,176,172,186,191,189,190,184,179,174,163,160,172,174,137,113,110,113,124,135,141,131,137,143,144,141,153,147,153,150,160,196,189,185,178,171,168,164,165,169,177,174,140,118,124,123,117,107,94,125,133,130,130,127,129,137,137,145,175,193,185,177,167,160,157,158,158,165,172,153,126,111,115,130,135,126,108,137,193,183,179,179,180,178,180,183,181,188,184,177,166,158,158,158,153,154,167,164,131,101,99,114,117,121,109,122,192,185,186,186,184,184,183,182,181,185,183,179,171,164,162,163,163,160,172,173,139,118,125,124,117,114,91,171,193,186,188,186,185,184,184,184,182,180,176,174,172,170,166,163,161,161,165,165,141,127,135,132,127,111,134,197,187,188,186,186,186,186,185,185,183,168,166,168,171,172,168,162,158,158,151,135,124,108,104,112,119,99,179,189,189,189,187,187,187,185,184,184,188,98,110,136,164,170,160,151,140,130,120,116,114,66,61,83,100,123,194,189,190,189,188,186,186,188,192,189,134,31,32,45,75,116,131,120,127,136,159,180,191,113,80,107,128,181,193,191,191,191,190,189,194,178,160,130,82,30,26,22,21,22,53,167,186,193,195,192,195,183,161,182,194,194,192,192,192,190,194,193,153,102,87,73,66,24,21,19,21,3,72,205,186,189,189,190,192,193,196,193,191,192,192,191,190,194,176,109,74,81,79,70,61,19,17,14,15,0,63,204,187,191,191,192,192,192,191,192,193,193,192,190,195,197,114,66,48,61,65,59,58,17,17,16,19,0,57,200,181,188,190,191,191,193,193,194,195,196,195,198,182,110,91,75,44,39,57,53,50,25,25,21,11,0,30,117,111,113,117,119,122,125,127,128,131,132,130,140,116,54,80,73,36,31,41,45,43,34,28,15,0,0,24,92,86,85,87,88,88,88,89,91,90,89,93,108,92,45,72,67,33,27,36,38,40
12,175,176,178,178,178,179,179,179,179,180,180,180,181,181,181,181,181,180,180,180,181,181,180,179,179,179,178,178,177,178,179,179,180,181,181,181,181,182,182,181,182,183,181,180,181,181,181,181,182,182,181,181,181,180,180,179,179,179,180,181,182,183,183,184,184,187,183,175,178,190,179,168,174,183,184,184,184,185,183,182,182,182,181,180,180,181,183,183,184,184,184,185,188,204,195,170,162,196,189,159,151,178,183,181,184,186,185,185,184,184,183,183,182,183,185,185,185,186,186,187,196,222,212,180,151,186,205,170,135,158,174,163,166,183,187,187,187,186,186,185,184,185,186,187,188,188,188,188,200,227,224,191,151,167,210,186,142,127,158,149,131,165,188,189,189,188,187,187,185,186,187,188,189,190,191,191,202,223,226,199,158,149,201,193,155,116,135,143,112,139,187,192,192,191,190,189,186,187,189,189,190,191,192,192,200,210,218,207,168,141,179,191,157,113,103,124,108,132,188,194,193,192,191,191,188,189,191,192,192,193,194,195,189,182,197,204,185,151,145,167,143,98,79,102,103,136,190,195,194,193,193,193,190,191,192,193,194,194,202,204,170,149,161,176,178,144,110,119,116,88,96,113,101,145,193,196,196,195,195,195,190,191,193,195,197,209,218,199,150,124,121,124,140,124,101,111,132,129,143,130,106,160,196,197,197,197,196,195,192,193,194,196,208,222,212,185,146,118,93,88,104,120,120,136,169,188,179,140,114,166,197,199,199,198,198,197,192,193,195,200,217,210,193,185,159,128,92,81,88,95,103,124,169,206,210,183,143,140,176,198,200,199,199,199,193,193,195,204,218,200,180,186,170,139,103,83,91,96,98,117,172,204,213,195,162,133,137,188,201,200,200,199,194,194,196,212,219,198,172,175,179,167,130,93,96,111,123,164,199,203,196,178,164,145,126,177,202,202,201,200,194,195,198,213,226,209,176,153,172,184,154,111,103,131,169,204,210,201,184,157,148,136,126,182,203,203,202,202,195,196,198,210,228,220,191,155,151,167,173,149,129,178,211,213,205,192,174,145,126,114,135,194,205,203,203,203,196,196,199,210,229,226,202,171,159,152,154,156,175,216,225,213,198,182,162,136,109,102,156,201,206,205,204,204,196,197,198,207,224,227,212,185,173,161,146,165,210,227,225,208,185,167,147,127,101,111,180,205,206,206,206,205,196,196,197,202,217,225,220,200,184,171,162,170,212,226,220,198,170,151,135,120,98,134,196,206,206,206,206,206,195,195,196,198,209,225,226,212,193,178,171,168,202,219,207,184,154,136,131,112,99,159,203,206,206,206,206,205,196,196,198,197,201,223,226,213,195,180,172,170,190,207,190,166,141,129,128,104,113,183,206,206,206,206,205,205,196,197,199,199,198,215,216,200,187,177,172,170,178,188,174,151,133,128,119,101,143,200,207,207,206,206,206,206,196,198,200,201,199,209,206,188,179,175,172,167,169,175,165,147,128,119,107,117,179,207,208,207,206,206,206,206,197,199,200,201,200,206,204,189,184,182,176,167,165,173,166,140,115,105,104,155,201,209,208,208,208,208,207,207,197,198,200,200,199,205,208,197,193,188,181,172,163,173,159,126,103,96,127,190,208,209,208,208,208,208,208,207,185,187,189,191,192,201,214,204,200,195,186,176,159,167,147,118,98,100,162,204,208,208,208,208,208,208,207,207,142,144,146,150,155,184,217,211,206,201,190,177,155,159,141,115,94,107,175,198,201,203,204,206,207,207,207,206
21,68,74,80,92,104,111,117,120,123,126,127,130,132,135,138,139,140,142,143,144,145,145,145,146,146,146,146,146,69,75,82,94,105,113,117,120,124,127,128,131,134,136,134,141,142,144,144,145,147,148,148,148,148,147,148,148,71,77,82,97,107,114,119,122,126,128,130,131,142,145,88,134,147,145,146,147,149,149,149,148,149,150,149,149,72,78,85,98,109,114,120,124,127,129,132,131,150,146,83,129,150,146,147,149,150,150,149,149,151,151,151,151,72,78,86,100,110,116,121,124,129,131,134,132,151,145,88,126,151,148,149,149,153,153,153,155,154,153,152,152,73,80,88,101,110,118,122,125,129,132,134,133,153,152,93,124,153,148,151,150,154,155,150,142,154,154,154,154,74,81,90,103,111,119,123,127,130,132,135,135,154,152,97,118,156,150,153,153,154,154,130,89,141,159,155,156,76,82,92,106,112,119,124,128,131,132,136,135,154,150,99,108,157,150,154,153,157,146,108,93,155,158,156,156,77,82,92,106,113,119,125,130,132,133,137,136,160,152,99,106,158,150,154,158,156,129,89,137,164,157,157,157,78,84,95,108,115,121,126,130,133,133,137,138,167,156,106,111,158,152,156,154,139,105,110,165,159,159,159,158,78,84,97,109,115,122,127,130,132,135,146,127,152,142,102,107,159,153,158,151,121,89,151,162,159,160,161,160,79,85,98,109,116,122,127,132,133,141,144,106,107,107,89,109,159,154,158,145,95,120,167,159,161,161,161,161,81,86,99,110,116,123,128,131,142,157,115,104,81,78,80,110,144,145,146,112,92,160,161,162,163,162,161,161,81,86,100,110,117,123,129,132,162,168,145,125,85,65,78,101,126,127,115,79,135,167,160,162,162,162,162,162,81,87,102,111,118,124,128,140,166,174,177,123,87,66,73,92,106,111,84,100,166,162,163,163,163,163,164,163,82,88,102,111,118,125,127,145,152,144,151,111,84,73,72,84,94,95,78,151,166,163,163,164,163,164,164,164,82,89,104,112,118,125,127,162,151,101,119,125,93,77,72,76,84,71,106,170,161,164,165,165,165,164,165,164,83,90,105,112,119,124,133,162,122,96,105,136,102,81,74,71,77,68,128,170,163,165,164,165,164,165,166,165,83,91,107,112,120,122,144,161,129,125,120,152,116,100,82,71,74,68,135,170,165,166,166,165,165,166,166,165,83,93,105,112,122,121,153,164,147,119,153,176,121,113,86,70,72,71,147,168,165,166,167,167,167,167,166,165,84,94,108,113,122,122,161,174,141,126,183,156,117,109,86,70,70,76,159,167,166,166,167,167,167,167,167,166,84,94,107,113,122,122,167,166,131,141,172,140,114,101,92,75,65,93,170,165,166,166,167,167,168,168,167,167,84,94,107,113,123,123,161,150,141,140,169,137,129,98,83,76,64,122,171,164,166,166,167,168,169,168,167,167,83,96,108,116,124,126,148,155,157,139,172,130,124,101,76,74,66,143,170,164,167,167,168,168,169,169,168,168,84,97,108,115,123,127,141,173,148,135,161,118,105,86,73,70,74,156,167,165,167,168,169,169,169,169,168,168,83,97,108,115,122,127,138,165,144,128,141,111,93,83,74,63,87,165,164,167,168,169,170,170,170,169,169,169,81,96,105,113,121,128,133,148,135,130,133,118,105,90,76,58,97,168,162,164,167,167,168,168,169,169,169,168,81,96,104,113,121,129,132,142,140,136,133,129,117,91,75,54,103,168,160,164,166,167,167,168,168,169,169,168
22,144,146,149,152,157,159,161,164,166,167,164,171,172,172,172,165,173,173,174,175,175,176,176,176,175,175,175,174,146,149,153,155,158,162,164,168,170,168,123,159,176,176,179,121,162,177,168,164,179,179,178,178,178,178,177,176,148,151,155,158,161,165,168,170,174,160,104,152,178,182,184,110,156,182,162,114,179,181,180,180,182,182,181,180,151,154,157,160,164,168,171,173,177,158,90,152,181,188,183,114,163,188,162,102,177,184,183,183,184,185,184,183,154,158,160,163,166,170,173,176,182,161,92,154,184,192,176,117,170,192,160,102,177,185,186,186,187,188,187,186,156,159,162,164,168,172,177,178,185,174,97,152,185,195,164,114,174,195,165,111,181,189,189,189,189,189,188,188,157,161,164,168,171,175,180,182,188,183,102,145,187,195,149,112,176,194,162,111,187,191,191,191,191,190,191,191,159,163,166,170,173,178,182,184,191,187,104,143,189,185,137,112,179,195,163,113,190,194,194,194,194,193,194,193,162,165,168,172,175,180,183,185,190,200,125,135,181,164,137,110,186,197,162,116,194,195,195,195,196,195,196,195,164,167,170,173,177,181,184,187,189,201,155,131,119,137,145,114,194,199,157,124,197,196,196,197,197,197,197,198,165,169,172,175,179,183,186,189,192,202,178,154,141,129,131,123,199,192,146,137,199,198,199,200,200,200,199,199,166,170,173,177,180,185,188,189,202,206,190,175,183,165,119,121,184,179,134,154,200,201,201,201,201,201,201,201,168,172,175,178,182,186,190,191,196,166,185,126,171,172,131,88,135,139,108,168,202,203,202,202,202,203,203,202,171,173,178,180,184,188,191,194,198,166,165,102,92,168,158,111,86,101,91,180,204,204,203,204,204,204,203,203,172,174,178,182,185,189,192,200,199,153,152,121,62,119,182,146,94,79,87,194,206,205,205,205,206,206,205,205,172,176,179,183,187,191,193,205,200,161,132,107,86,107,199,175,123,90,86,200,208,207,207,208,208,208,207,207,174,177,180,184,187,192,194,212,204,156,120,105,97,176,202,176,135,107,91,202,209,208,208,210,210,210,210,209,175,178,180,184,187,192,195,212,196,155,128,131,135,211,202,162,127,102,94,204,210,209,209,210,211,211,210,209,176,179,182,186,189,193,196,208,192,154,145,129,166,211,185,150,112,91,115,210,211,212,210,211,212,212,212,211,176,180,184,187,190,195,197,204,188,153,146,130,186,210,170,136,105,87,132,214,213,213,213,214,213,214,213,212,175,180,184,187,191,194,198,201,188,154,164,138,193,206,161,126,96,83,143,214,214,215,215,215,215,214,214,214,175,178,182,186,190,193,197,196,189,160,171,142,185,187,152,120,93,78,158,214,214,215,216,216,216,215,214,214,175,179,183,186,190,193,197,196,189,165,168,143,175,171,139,114,90,79,177,212,214,215,216,216,216,215,214,214,176,181,185,188,190,195,198,198,194,165,152,131,155,150,124,112,90,90,197,213,215,216,216,216,216,216,216,215,178,182,186,189,192,196,198,195,193,162,136,129,153,134,128,112,88,133,211,215,216,216,216,217,217,216,215,215,177,181,185,189,194,196,195,199,199,174,152,144,161,123,133,99,90,188,215,215,215,216,217,217,217,217,216,215,176,180,185,189,193,196,191,197,199,179,168,150,156,120,123,84,139,211,215,214,215,216,217,217,217,217,217,216,152,157,164,170,175,178,178,194,181,169,170,147,148,120,105,81,176,214,215,214,215,217,216,217,217,218,217,215
24,208,210,211,212,212,213,214,214,214,215,215,216,216,216,216,215,215,215,215,214,214,213,212,211,155,86,74,66,211,212,213,214,215,216,216,217,217,217,218,218,217,217,217,218,217,218,217,217,217,216,215,215,148,74,81,82,213,214,216,216,217,218,219,219,219,219,220,220,220,220,220,220,220,220,220,220,219,218,216,221,172,82,89,97,214,216,217,218,219,220,220,221,222,223,222,223,223,223,222,223,224,223,223,222,221,220,218,219,212,103,88,91,216,217,218,221,221,221,223,223,224,224,224,224,224,225,225,225,225,225,224,223,223,223,221,218,225,154,82,80,218,219,220,222,223,223,225,225,225,225,225,225,226,226,226,226,227,227,227,226,225,225,225,222,226,200,89,72,219,221,223,223,223,225,226,226,226,227,227,226,227,228,228,228,229,230,228,228,228,225,226,226,223,228,111,64,220,222,224,224,229,228,226,227,229,229,228,229,230,230,230,229,230,231,229,230,230,228,227,227,225,232,174,155,221,223,224,227,203,224,230,229,230,230,229,230,231,230,231,231,231,231,231,231,231,230,230,229,226,233,180,197,223,224,225,231,174,184,238,228,231,231,231,231,231,231,232,231,233,233,232,231,232,232,231,230,228,232,189,219,224,225,227,228,188,142,228,231,231,231,231,231,232,233,232,233,234,233,234,237,232,233,231,231,230,230,219,198,225,226,229,231,211,140,183,241,230,232,233,233,234,236,234,234,237,241,221,215,237,233,232,232,232,231,236,194,225,227,229,231,223,182,141,225,238,233,235,236,232,225,234,239,208,237,224,158,200,242,233,233,230,223,205,193,226,230,230,230,232,214,155,160,238,235,233,237,240,198,204,246,173,170,237,168,164,243,234,232,233,209,164,145,226,229,230,230,232,224,198,165,185,240,233,238,253,226,190,213,198,155,233,184,169,242,234,236,239,183,140,157,225,228,229,229,231,231,215,191,170,200,236,236,250,253,203,173,223,163,212,197,174,244,228,244,219,141,186,238,226,227,230,230,230,232,227,207,194,208,213,222,215,254,222,160,199,181,201,214,159,204,213,238,177,154,238,230,226,228,230,231,231,232,234,230,231,227,202,192,181,216,233,171,151,189,197,226,149,152,219,210,151,212,237,229,225,227,229,229,230,231,233,235,246,217,193,175,153,163,225,183,129,201,189,238,169,178,216,171,167,241,231,232,231,234,236,236,238,238,240,238,245,244,218,178,160,169,193,199,138,198,199,169,189,207,201,142,192,241,231,232,181,186,188,192,196,200,204,207,210,248,250,227,176,161,185,202,162,169,219,166,242,206,180,150,236,244,239,234,131,132,132,134,134,132,135,137,127,228,255,252,231,170,174,214,205,188,221,237,226,182,168,145,172,168,179,202,141,140,141,142,140,140,141,144,130,189,255,241,250,207,173,185,247,255,255,245,203,173,152,140,162,194,216,236,141,138,139,138,139,141,140,142,139,149,242,238,251,233,193,174,204,255,251,222,195,158,148,230,248,244,240,244,139,138,138,137,138,140,140,141,144,135,185,252,255,242,204,182,184,238,236,207,187,140,174,225,219,235,233,232,138,139,140,138,138,139,139,140,142,141,139,235,240,219,187,171,179,207,214,190,159,136,219,217,193,208,222,223,137,137,138,139,139,140,138,139,140,143,131,203,233,192,187,181,182,195,201,177,140,148,212,230,183,172,200,220,137,137,137,137,139,142,138,137,139,142,132,181,240,214,214,201,191,196,199,168,130,156,206,225,194,162,194,210
19,160,161,162,164,164,165,167,167,167,168,168,168,167,167,166,168,168,166,166,165,164,164,163,163,162,161,161,161,161,162,163,165,166,167,168,169,169,168,168,169,168,167,167,152,154,169,166,166,166,166,166,165,163,163,162,162,162,163,165,167,168,169,169,170,170,170,170,169,167,175,171,137,100,157,170,166,167,167,167,166,165,163,162,163,162,164,167,168,169,170,170,170,170,170,170,171,167,184,170,142,95,132,177,166,168,168,167,167,166,164,164,164,164,166,168,168,169,170,172,172,171,171,172,172,170,187,166,144,96,122,178,167,169,168,168,168,166,165,166,165,166,167,169,170,172,172,174,173,174,173,173,173,174,187,157,136,90,117,180,168,170,169,167,166,168,166,167,166,167,169,170,172,173,173,174,174,174,174,174,172,177,187,145,116,86,120,178,164,167,161,172,177,156,168,168,168,167,169,172,172,174,174,174,174,174,174,174,172,176,182,155,138,151,166,171,161,176,162,194,202,123,167,168,168,169,171,172,173,175,177,176,176,174,175,178,181,179,172,173,171,185,188,176,165,175,168,159,144,130,173,169,169,170,172,173,175,176,176,177,176,181,187,192,197,193,178,161,154,155,154,143,129,122,122,120,135,168,171,171,170,172,174,174,177,175,182,184,180,191,197,196,190,176,168,160,153,124,96,112,127,144,154,171,176,172,172,172,170,173,174,176,176,181,198,189,185,183,183,183,180,181,180,179,183,142,97,174,178,180,177,175,173,172,172,172,171,174,175,178,175,188,201,192,189,183,185,190,191,188,182,179,170,135,86,166,178,174,175,175,174,174,172,172,172,175,177,179,178,186,201,190,184,188,194,193,194,187,177,174,158,120,77,134,185,175,178,175,175,174,174,173,173,177,179,179,179,186,197,180,176,182,190,192,182,173,181,185,185,137,80,95,180,178,178,177,176,175,175,174,173,177,179,182,180,192,187,173,175,175,165,165,182,194,187,180,188,138,82,78,164,183,178,178,177,177,177,175,174,178,180,182,181,192,174,175,179,176,165,183,193,180,172,173,167,124,87,69,149,187,179,179,179,178,178,177,177,178,180,183,182,185,186,191,188,192,196,193,183,176,171,161,142,107,83,68,162,185,179,180,180,179,179,178,177,179,182,183,184,182,200,199,189,186,188,186,176,163,159,171,177,141,70,121,189,180,180,180,181,181,180,179,178,180,181,183,185,182,192,200,182,177,170,147,141,173,191,190,190,159,81,146,191,181,182,181,182,181,180,180,179,180,183,184,186,186,180,191,178,172,164,159,179,199,183,164,160,141,83,105,193,182,184,182,183,182,180,179,179,181,183,185,186,188,183,182,194,192,186,191,191,178,163,154,144,118,68,132,194,183,184,184,183,181,180,180,179,181,183,185,187,190,186,180,195,195,176,175,176,166,152,136,109,103,136,181,187,185,185,185,184,183,182,182,180,181,183,185,187,190,186,177,184,185,166,166,158,143,125,98,73,164,197,186,186,186,185,185,184,183,183,182,181,180,182,184,186,188,185,172,179,176,155,147,132,113,96,84,75,150,193,185,185,185,185,184,184,182,182,182,180,182,184,185,187,188,188,168,171,171,148,137,134,122,90,86,76,110,196,185,186,186,185,183,184,183,183,182,181,182,185,186,188,189,188,170,165,163,147,130,116,103,87,85,75,108,196,186,186,186,184,184,184,184,183,182,181,182,185,187,188,190,185,170,170,159,156,136,114,96,91,87,74,116,198,186,187,187,185,185,185,185,184,183,182
13,121,128,136,139,143,149,156,161,164,167,169,173,176,179,181,184,187,188,189,190,191,192,192,191,191,191,192,193,122,130,137,141,145,151,158,162,165,168,171,174,177,180,183,185,188,189,190,191,192,193,193,193,193,193,194,194,124,133,140,143,148,154,160,164,167,170,173,176,179,182,185,188,190,191,192,190,187,192,195,195,196,196,196,196,127,135,142,145,149,155,161,166,169,172,175,178,181,184,187,189,193,202,206,190,160,164,181,188,195,197,197,198,128,136,143,147,151,157,163,168,172,175,178,181,184,187,190,190,189,203,214,189,139,114,132,152,169,193,199,199,130,137,143,148,153,159,164,170,174,176,179,183,186,190,198,183,163,164,189,188,140,99,114,131,122,172,200,201,132,139,145,149,154,160,166,171,174,178,181,185,186,193,213,197,164,136,153,186,161,107,119,130,107,161,201,202,134,141,146,150,155,162,168,173,176,179,184,192,179,162,191,214,187,139,113,160,166,112,123,139,113,169,203,203,136,143,148,152,157,163,169,174,177,181,195,209,185,141,139,200,204,154,97,105,134,104,130,152,129,183,204,205,137,144,150,154,158,165,171,175,179,191,207,212,199,156,114,160,199,153,94,60,80,84,126,144,138,193,206,206,139,146,152,155,161,168,172,176,186,204,196,191,202,169,112,122,179,143,89,50,69,100,128,126,121,179,207,208,141,149,153,156,163,170,174,179,199,212,187,170,186,158,106,99,161,144,92,64,105,139,139,121,112,147,201,209,143,150,155,159,166,172,176,184,207,204,174,154,167,136,92,79,149,156,105,106,159,166,141,111,105,120,185,210,145,152,156,161,168,175,180,192,215,201,170,140,146,122,81,61,133,158,124,156,187,169,138,110,98,108,178,211,148,154,158,162,171,179,183,197,223,210,179,140,124,113,80,76,140,176,171,190,184,157,130,105,90,118,193,213,151,156,160,165,175,182,187,203,229,217,188,149,118,112,113,144,188,208,208,196,172,143,120,98,89,150,208,214,154,159,162,168,177,184,189,208,234,225,194,161,147,146,156,184,206,212,206,188,160,135,111,89,99,181,215,215,157,162,166,172,181,187,192,210,232,229,205,177,170,162,169,195,205,209,197,175,150,126,102,82,119,201,217,217,160,165,169,176,185,191,196,209,226,230,215,191,180,167,176,202,203,199,183,159,136,115,93,89,159,215,220,219,163,167,172,179,188,195,199,205,221,229,219,200,184,171,178,199,201,184,165,144,126,107,93,132,203,222,222,221,166,170,175,182,191,197,202,204,215,224,219,207,192,179,177,190,194,174,151,132,116,102,123,194,223,225,224,223,169,173,177,185,193,199,204,206,209,222,220,212,203,190,178,182,185,165,137,119,106,113,179,222,227,227,226,225,171,175,180,187,196,202,206,208,206,220,217,209,204,191,174,174,172,152,123,108,104,154,217,229,229,229,228,227,173,177,181,189,198,205,209,211,207,217,205,193,195,187,172,166,160,142,119,102,119,198,230,232,231,231,226,208,174,178,183,191,200,207,211,213,210,218,205,193,200,195,179,162,153,138,121,99,143,218,233,234,232,226,191,131,175,179,184,193,201,207,211,213,210,220,215,205,212,202,183,160,149,137,121,99,159,225,234,232,211,166,107,69,176,180,185,194,201,207,211,214,211,219,225,219,222,206,185,163,149,136,120,99,166,229,234,211,141,82,52,43,177,181,186,195,203,208,213,216,209,213,228,225,223,204,184,165,150,137,118,97,165,231,232,174,93,62,46,31
13,178,181,187,195,202,206,210,213,216,219,224,226,229,232,233,235,238,238,237,238,239,241,240,239,240,239,238,238,179,184,190,198,205,209,213,215,217,220,225,229,231,235,236,234,236,239,245,241,242,241,241,242,243,241,241,241,181,185,193,201,206,211,214,218,221,223,228,232,233,234,241,254,255,210,193,243,242,249,243,245,246,244,243,242,184,188,195,203,208,214,217,221,225,227,231,233,237,240,245,255,255,202,135,143,182,200,247,246,246,245,245,244,184,190,196,203,209,214,218,222,226,231,231,236,242,198,196,217,255,199,132,108,186,138,167,255,245,247,246,246,187,191,198,204,211,215,218,224,227,231,231,255,255,213,167,165,244,243,157,122,197,136,135,255,247,248,248,246,189,193,200,206,213,218,222,224,231,234,178,228,255,255,205,117,173,255,170,119,206,140,156,255,249,251,249,249,189,194,201,208,215,220,224,221,255,253,188,125,238,255,226,143,89,201,166,117,242,152,186,255,250,253,252,251,190,196,203,211,217,223,220,255,255,255,232,145,138,255,219,153,67,89,105,110,228,147,234,255,252,254,253,253,191,197,207,213,218,220,241,255,212,255,248,172,91,240,207,139,72,67,111,157,179,126,189,255,253,255,255,255,192,200,210,216,220,223,255,255,198,233,221,158,86,199,207,151,69,99,183,196,169,152,133,248,255,255,255,255,196,203,213,220,220,239,255,233,186,214,190,136,67,168,238,168,88,205,234,202,151,133,131,185,255,255,255,255,198,206,217,224,222,255,255,229,177,183,179,135,56,122,239,142,159,255,226,194,154,133,121,161,255,255,255,255,199,208,220,226,223,255,255,246,204,151,166,123,66,114,232,203,248,243,213,178,148,127,98,208,255,255,255,255,201,213,224,231,227,255,255,250,215,157,134,132,169,232,255,255,255,228,195,163,143,110,119,255,255,255,255,255,208,218,227,235,233,255,255,255,214,192,193,197,221,253,255,255,249,215,182,157,132,91,176,255,255,255,255,255,211,222,230,238,240,255,255,255,226,218,214,192,240,244,255,255,232,203,176,148,122,84,223,255,255,255,255,255,215,225,234,241,245,255,255,255,246,233,219,203,253,254,252,242,211,185,158,139,100,119,255,255,255,255,255,255,218,228,239,246,247,255,255,255,255,239,219,212,242,255,238,217,191,170,153,125,92,235,255,255,255,255,255,255,221,231,242,248,250,254,255,255,255,245,229,218,227,251,232,201,178,155,146,99,209,255,255,255,255,255,255,255,225,235,244,249,255,251,255,255,255,255,250,227,219,241,224,187,158,150,115,167,255,255,255,255,255,255,255,255,226,238,248,253,255,250,255,255,255,255,253,222,212,224,209,170,141,135,125,255,255,255,255,255,255,255,255,190,230,242,251,255,255,255,255,255,232,237,238,219,206,212,191,165,142,108,210,255,255,255,255,255,255,199,95,69,232,243,252,255,255,255,255,255,229,246,250,238,207,203,183,170,135,116,255,255,255,255,255,255,181,85,70,57,233,243,251,255,255,255,255,255,245,255,255,241,206,192,182,172,130,130,255,255,255,255,246,149,79,86,88,46,234,245,253,255,255,255,255,255,255,255,255,244,213,192,181,172,124,141,255,255,255,220,94,67,56,82,94,61,236,248,255,255,255,255,238,255,255,255,255,236,214,196,182,170,121,130,255,255,255,117,88,89,50,54,86,77,238,250,255,255,255,255,150,255,255,255,253,230,218,198,187,157,123,90,255,255,158,95,85,82,61,36,71,83
14,212,214,213,214,215,216,217,217,217,217,217,216,216,217,218,216,218,217,218,217,217,217,216,216,216,214,214,215,213,214,215,216,217,217,217,218,220,218,217,218,225,216,214,220,219,217,219,218,218,219,219,218,218,216,216,215,214,215,216,217,217,220,221,222,220,219,230,231,224,180,179,230,220,221,221,220,220,220,220,220,220,218,217,217,215,217,218,219,219,220,221,219,220,245,236,203,174,157,147,196,217,216,221,221,221,221,221,219,219,220,219,217,217,218,219,221,222,221,218,225,252,247,188,150,147,142,152,182,205,173,182,226,222,222,222,222,220,220,220,220,217,218,221,221,221,219,227,255,247,207,161,139,152,136,144,168,181,149,187,229,222,224,224,223,222,222,222,221,220,221,222,222,222,217,253,255,206,158,137,139,143,132,136,140,156,145,194,228,227,225,226,226,225,224,223,222,221,222,222,223,224,221,255,255,186,132,119,122,133,150,159,141,168,195,188,177,211,230,226,227,227,225,224,224,222,222,223,226,223,232,255,247,184,140,128,130,124,136,142,126,137,176,182,146,210,233,226,229,228,226,225,225,222,222,224,227,223,242,255,229,163,132,136,147,123,131,139,146,148,153,145,142,209,226,231,229,228,227,226,227,225,226,226,229,222,252,255,234,176,134,137,148,133,142,154,162,154,142,163,170,172,165,222,233,229,230,228,228,226,227,229,229,225,255,255,244,196,156,137,132,144,148,126,139,147,177,177,168,164,176,190,226,234,231,230,229,227,229,230,227,235,255,255,241,194,162,144,129,153,146,169,208,224,239,232,217,195,216,180,221,236,232,232,231,227,228,230,227,241,255,255,242,193,159,148,135,147,136,221,244,235,232,236,227,203,212,179,228,235,232,232,231,228,229,233,229,245,255,255,248,205,166,143,142,132,168,242,232,235,234,239,214,198,208,175,231,235,233,233,232,229,230,233,229,247,255,255,251,211,174,143,137,137,228,240,236,237,235,242,210,198,210,167,219,240,234,234,234,229,232,235,230,248,255,255,254,215,178,149,126,161,244,234,238,239,237,245,201,184,204,171,191,244,234,236,235,231,233,236,230,250,255,255,253,219,182,156,121,196,254,237,241,238,243,220,192,200,199,175,182,245,236,237,237,233,235,235,231,251,255,255,255,221,182,163,126,163,221,233,232,244,229,179,196,206,194,165,217,243,237,237,237,233,235,236,233,254,255,255,255,219,186,169,143,123,138,155,160,185,180,180,196,198,177,195,247,238,238,238,238,235,235,239,234,255,255,255,254,217,198,182,153,135,145,148,163,171,172,180,192,182,175,239,243,240,240,240,239,235,236,239,236,255,255,255,253,222,211,191,165,139,153,165,174,179,182,175,179,165,221,248,241,242,241,241,240,237,239,239,236,255,255,255,255,233,219,192,168,150,156,170,175,178,179,176,154,191,251,242,244,243,242,242,241,238,240,240,240,255,255,255,255,244,221,193,170,157,153,170,174,173,176,166,167,240,245,244,245,243,243,244,244,239,240,241,243,255,255,255,255,248,221,189,166,157,153,166,171,169,169,164,234,248,244,245,245,245,244,243,244,238,240,239,245,255,255,255,255,244,210,169,152,151,152,165,165,173,154,212,254,244,246,246,246,245,244,244,244,241,245,244,255,255,255,255,255,228,181,141,142,142,149,157,163,160,181,251,246,247,247,248,247,246,245,245,245,229,216,199,202,200,184,179,162,148,132,119,116,126,144,151,152,171,242,249,248,249,248,249,249,246,247,247,246
2,172,173,174,176,175,176,176,177,177,176,175,175,174,174,174,174,173,172,171,168,168,167,165,163,161,159,158,157,174,175,176,177,178,178,178,179,178,177,177,176,176,176,176,175,174,173,172,171,169,168,166,165,163,162,160,158,177,178,178,179,179,180,180,180,180,179,179,178,168,160,163,161,154,147,141,151,170,169,167,166,165,164,162,160,178,179,179,180,181,181,181,181,182,181,180,170,153,147,148,148,138,118,103,99,135,165,169,167,166,165,163,161,180,180,181,182,183,183,183,183,184,183,174,155,151,151,144,145,142,108,101,109,116,120,142,166,168,167,165,163,181,182,183,184,184,185,185,185,186,185,176,164,154,139,127,123,114,80,83,101,105,84,90,158,170,168,165,164,182,182,184,185,186,187,187,188,187,181,175,166,147,120,99,90,105,131,145,127,109,93,122,169,170,169,166,165,183,184,185,186,186,189,189,189,184,168,163,146,114,73,58,102,175,182,182,179,174,169,173,174,171,169,167,166,184,185,187,187,188,189,190,190,182,163,147,111,73,53,56,141,187,184,182,181,179,178,176,175,173,171,168,167,184,186,188,189,189,190,191,190,181,161,118,70,50,45,87,179,187,185,183,182,180,178,177,176,174,172,170,168,186,187,189,190,191,192,192,188,181,158,109,56,47,45,125,190,187,187,185,183,181,180,170,148,142,163,171,170,187,188,189,191,192,193,193,185,180,151,102,56,55,55,126,191,188,188,186,184,183,170,127,98,90,130,172,170,187,188,190,192,193,194,192,185,176,143,88,59,62,59,137,193,190,189,187,187,176,132,107,99,89,128,174,171,188,190,191,193,194,195,191,187,175,138,91,73,63,59,151,194,191,190,189,182,137,104,105,95,94,158,175,173,189,191,192,193,195,195,189,187,174,141,99,77,61,55,117,190,192,191,188,148,93,90,95,83,128,177,176,174,189,191,192,194,195,197,189,185,172,140,103,77,61,59,69,116,168,187,153,109,87,82,82,93,169,179,177,175,190,192,194,195,195,196,188,182,166,138,108,77,61,61,66,71,94,119,94,91,94,81,86,151,181,179,178,175,192,194,195,196,197,196,187,182,167,138,104,75,60,61,66,73,79,78,77,85,83,94,158,183,181,180,178,175,191,194,195,196,198,195,184,186,175,136,103,79,60,63,68,72,80,82,76,80,90,161,186,183,181,180,178,176,193,194,195,196,197,193,183,191,172,131,102,80,62,63,69,73,80,84,76,73,148,189,185,183,182,180,179,177,193,195,196,198,198,190,185,189,163,124,101,82,63,64,73,78,81,80,72,126,186,189,186,185,183,181,180,179,194,195,197,198,199,188,186,183,155,120,102,83,63,65,76,80,81,71,94,183,191,189,188,186,184,182,180,179,194,195,197,198,198,186,186,174,147,121,103,82,63,66,78,77,73,66,149,195,192,190,188,187,185,184,181,180,194,196,198,199,199,185,179,163,138,116,98,79,62,66,76,72,63,114,191,194,192,191,189,187,186,184,182,181,194,195,197,199,196,184,172,157,134,113,95,77,63,66,70,63,101,184,196,194,192,191,189,187,186,184,182,180,194,196,197,199,194,182,164,150,126,107,90,75,62,61,62,106,182,199,196,195,193,192,191,188,186,185,183,180,194,196,198,198,194,178,160,147,123,103,85,70,56,77,142,190,200,198,196,196,194,193,191,188,187,185,183,180,194,196,197,195,192,174,157,143,124,100,80,62,59,153,202,200,198,199,197,196,193,191,191,188,186,184,182,180
3,131,142,151,155,159,163,169,173,175,179,179,181,183,184,184,184,188,187,184,185,185,184,184,184,183,181,180,179,137,147,155,159,165,170,175,180,181,184,186,188,189,189,190,197,160,181,194,190,192,190,189,189,187,186,185,184,142,153,160,164,169,175,179,184,187,190,192,193,195,195,196,204,125,129,208,195,197,197,197,195,193,192,190,188,147,157,165,169,175,181,185,190,193,196,198,198,201,202,203,203,125,90,202,202,202,203,201,200,199,196,194,193,151,161,170,173,179,185,191,195,198,201,203,204,206,206,207,212,129,74,187,211,206,206,205,205,203,200,199,198,154,165,174,178,183,189,195,200,202,205,207,208,210,211,211,218,142,70,171,221,209,210,210,208,207,205,204,204,159,169,177,181,187,193,198,204,207,210,210,212,215,215,213,237,167,74,149,229,214,215,215,213,210,209,207,206,162,172,180,185,191,196,202,206,210,214,215,217,216,219,202,208,153,66,131,231,217,219,219,217,216,214,212,211,165,176,184,188,194,200,205,211,213,216,218,222,222,251,218,152,102,82,121,231,222,222,222,222,220,219,217,215,169,179,187,192,198,204,209,214,215,219,223,211,179,231,250,186,91,152,136,218,229,226,226,226,224,223,220,218,172,181,188,194,201,206,211,216,220,219,240,230,183,173,255,199,155,210,98,180,240,228,230,228,227,225,223,222,175,184,191,196,204,209,214,219,224,198,192,245,231,166,222,196,169,183,82,108,240,231,232,231,230,228,227,225,177,186,194,199,206,210,217,220,235,226,189,179,238,179,186,193,135,182,126,80,173,246,231,233,232,232,231,229,179,189,196,201,208,212,220,225,223,240,230,153,170,204,149,197,135,158,167,109,112,245,233,235,234,233,231,231,181,190,198,203,210,215,222,228,214,163,193,129,100,175,106,196,195,115,164,122,110,242,238,238,237,236,235,233,182,191,199,205,211,217,223,229,227,157,163,132,81,148,112,110,111,62,142,129,104,241,241,239,239,237,237,234,183,192,200,207,212,219,225,229,239,203,140,130,99,125,176,98,37,85,174,140,90,223,248,240,240,239,239,238,183,191,198,206,213,219,225,229,234,189,129,106,88,71,131,109,91,141,193,142,83,203,255,241,241,242,240,239,184,191,198,205,213,218,224,228,233,219,168,117,90,76,92,166,185,189,165,124,92,217,251,241,242,241,242,240,185,193,200,207,214,219,225,228,238,230,178,126,116,125,140,235,243,206,159,102,109,242,245,241,242,243,239,234,187,196,203,209,214,219,225,229,235,232,197,153,136,128,156,237,232,187,150,96,136,255,249,244,247,220,197,232,180,190,199,206,214,221,229,234,239,231,202,165,138,132,150,227,224,174,135,89,165,249,223,226,224,176,172,234,111,113,118,123,131,135,139,147,152,210,207,167,154,154,137,216,214,164,119,88,158,220,189,170,215,134,181,220,106,108,110,111,110,110,111,112,103,160,212,180,165,162,128,188,195,147,105,97,191,181,196,164,178,119,203,207,109,111,112,114,115,117,122,124,116,134,216,187,162,155,117,144,165,115,91,148,199,169,176,184,132,131,213,201,109,111,112,112,116,115,115,119,109,181,245,187,157,138,107,119,122,98,106,175,190,170,171,172,119,168,202,202,108,110,113,112,115,115,116,117,111,211,242,184,154,126,112,113,109,84,156,172,154,170,163,153,150,177,197,202,106,109,112,112,111,114,116,114,120,214,225,184,157,140,122,108,98,87,192,176,114,162,165,154,173,168,208,197
22,99,102,107,122,135,143,147,150,156,162,166,169,172,174,177,178,179,181,180,179,179,178,178,176,174,174,173,172,100,103,109,123,136,144,147,151,158,162,167,174,173,175,179,179,182,175,177,182,180,180,179,180,178,176,174,174,101,103,110,126,138,146,149,153,159,172,176,146,177,178,180,180,195,156,132,188,181,181,183,167,175,180,176,175,101,104,111,127,139,148,151,157,157,188,192,115,172,182,182,182,205,155,116,189,183,186,190,127,141,187,178,177,102,104,112,129,140,149,153,158,159,186,201,121,162,186,182,186,201,146,126,194,183,195,187,119,146,189,180,179,102,104,113,131,142,149,154,159,162,180,206,130,150,190,183,189,195,140,139,196,186,198,171,113,172,187,181,180,101,103,114,131,142,151,155,161,165,177,213,155,137,191,186,187,178,127,148,195,198,205,150,123,192,183,183,182,102,105,115,131,143,153,156,161,167,174,211,164,128,185,189,190,180,118,155,197,203,192,133,153,194,185,186,183,102,105,116,131,144,154,157,162,169,174,206,172,119,172,193,188,183,120,167,207,203,161,115,179,191,188,187,185,102,105,117,134,145,155,158,163,171,174,200,197,137,155,198,178,166,106,189,219,199,142,124,196,189,189,188,187,103,105,117,134,146,157,161,164,171,176,190,203,142,130,187,157,154,129,205,207,186,119,158,200,191,190,189,188,102,106,118,135,148,157,160,166,173,180,184,200,135,99,149,162,180,202,208,190,150,110,190,196,192,192,190,188,102,106,119,135,149,157,161,167,175,180,180,198,154,122,167,172,181,196,193,178,114,147,206,193,194,193,192,190,103,106,120,137,149,159,162,168,174,192,182,148,154,133,157,167,187,181,190,155,105,185,203,196,195,194,194,192,102,106,120,137,151,160,162,169,175,205,175,169,153,161,131,115,159,172,162,121,107,195,201,198,197,196,194,193,100,105,121,137,152,160,162,170,176,212,191,179,180,170,133,102,96,134,133,106,114,205,199,199,199,198,196,194,101,105,122,139,152,161,164,169,182,217,198,157,139,153,156,144,113,89,92,95,114,207,200,200,200,200,196,194,102,106,123,139,153,161,164,172,182,221,205,145,94,103,156,160,142,115,101,86,93,200,205,201,200,199,198,197,100,105,123,139,153,161,164,172,178,219,214,167,153,91,193,179,154,133,117,77,79,195,207,201,200,200,199,198,99,103,122,139,152,161,164,172,176,216,221,177,157,130,213,197,163,138,120,74,90,205,204,201,200,200,200,200,98,102,121,139,154,161,164,173,175,212,223,178,158,186,205,180,164,128,111,70,112,216,201,202,200,200,200,199,97,101,120,139,154,161,164,172,177,202,219,197,166,205,204,163,168,144,106,66,131,216,201,204,202,200,200,198,91,96,117,137,153,161,165,173,180,195,212,200,167,197,197,167,159,147,102,62,165,218,206,207,204,202,202,201,117,120,128,137,147,154,158,163,171,168,203,201,168,165,181,154,139,121,82,74,180,192,188,187,187,186,186,186,124,125,121,115,119,121,121,121,127,93,120,201,149,127,140,129,109,93,76,91,118,114,112,113,113,111,114,112,123,123,124,124,125,123,124,125,125,87,56,117,131,126,134,141,122,97,69,92,123,115,115,115,115,115,97,73,124,125,124,125,125,125,125,129,106,68,73,58,95,133,137,141,114,76,36,71,126,116,116,117,100,77,57,50,125,125,124,124,124,124,127,125,81,75,73,70,60,78,101,91,59,37,27,89,125,115,118,100,65,60,52,43
13,189,190,191,190,189,190,191,193,191,190,190,192,193,194,194,193,193,193,195,194,194,193,192,192,192,191,190,190,191,192,193,192,191,192,194,193,193,193,193,193,192,195,196,196,197,196,195,195,196,195,193,193,195,194,191,190,192,194,193,193,194,194,194,194,195,194,195,195,195,196,195,195,194,193,198,200,198,196,194,196,195,194,193,193,191,193,194,194,194,196,196,196,195,194,195,197,197,196,198,207,205,173,146,179,190,196,200,197,197,195,195,195,192,193,195,195,195,197,197,195,195,195,196,198,195,206,231,233,228,190,135,92,115,120,182,202,197,196,196,195,193,193,194,196,196,196,195,196,199,198,196,197,197,204,197,213,226,201,143,89,73,86,111,212,194,197,197,197,194,194,195,196,196,197,196,198,199,195,201,186,161,188,160,151,197,204,170,104,82,142,105,201,198,198,199,197,194,195,196,197,198,198,198,200,198,202,229,186,137,174,189,181,195,188,191,113,76,115,97,199,200,200,200,198,194,195,196,197,197,198,199,198,192,207,238,197,166,128,151,191,198,173,123,79,39,112,186,201,201,201,200,200,194,196,195,196,197,201,194,205,203,136,152,211,191,148,64,108,183,182,144,122,88,87,206,203,202,201,201,200,193,195,197,197,197,193,201,229,196,116,77,174,217,167,87,10,100,140,155,183,164,88,133,216,199,202,201,200,194,195,196,197,195,207,231,210,173,128,82,125,226,167,122,41,31,43,168,207,190,146,83,186,206,201,201,201,195,194,195,194,201,222,199,174,175,147,105,77,220,178,152,82,39,38,119,222,205,172,105,105,211,200,199,199,197,196,197,195,217,204,159,152,187,158,124,44,160,213,171,126,36,49,106,209,212,173,135,81,169,210,200,200,197,196,197,198,220,212,181,144,187,163,136,92,43,198,199,157,89,76,207,200,196,168,143,91,142,216,201,202,196,195,194,199,214,201,183,146,144,173,170,140,32,69,206,189,175,118,203,197,168,135,121,78,153,214,201,202,194,194,195,195,217,222,201,173,135,137,179,152,131,29,135,200,171,177,196,180,156,122,88,71,185,208,202,201,201,201,203,200,215,227,213,186,170,149,151,148,172,100,170,218,202,211,189,167,145,115,80,90,205,203,204,202,147,151,157,154,197,232,220,199,179,170,171,152,119,132,212,227,226,201,185,164,136,105,67,132,218,209,210,208,79,78,82,66,148,237,219,209,191,177,181,180,145,133,198,224,222,200,168,152,128,94,70,114,149,149,153,153,86,85,87,77,107,224,212,213,209,193,183,178,166,123,159,219,211,193,163,132,113,84,79,78,70,67,69,78,85,86,85,88,77,188,212,208,212,208,194,180,165,143,126,199,197,177,155,119,98,82,73,78,87,111,142,174,85,86,88,91,76,121,216,203,214,214,196,181,161,148,129,159,182,160,132,113,93,70,86,161,186,203,209,210,85,86,87,88,92,76,169,215,208,204,185,169,155,141,128,131,156,148,125,106,89,56,158,229,203,194,185,195,86,87,87,85,91,79,105,216,202,184,168,158,150,138,115,114,141,150,134,95,74,73,208,210,191,179,156,150,85,87,86,85,84,89,79,187,208,169,152,154,147,133,109,98,147,164,122,84,57,135,225,202,185,140,128,133,85,86,87,85,84,92,75,159,215,179,173,166,148,127,111,95,156,155,97,74,70,208,219,219,194,130,97,130,86,86,88,84,84,90,74,148,222,190,189,176,154,133,119,93,158,135,88,59,110,222,204,230,215,148,87,108
21,77,85,99,113,121,129,134,138,142,143,146,152,154,156,158,160,161,163,165,166,166,166,167,168,167,167,168,167,78,88,102,115,123,131,136,137,144,170,112,121,161,156,160,163,164,165,166,167,169,169,169,170,169,169,170,169,79,86,104,117,126,133,137,139,151,183,101,101,165,157,162,165,165,167,166,170,170,170,171,171,172,171,171,171,81,88,105,119,127,133,138,141,152,180,112,96,162,160,163,166,168,168,168,171,174,174,173,173,173,173,173,172,84,90,107,121,128,135,140,143,151,174,117,92,159,162,165,166,169,171,172,169,141,166,177,175,175,175,174,174,84,93,109,121,131,137,140,145,151,176,130,92,155,165,166,169,171,170,176,153,92,142,184,176,177,177,177,177,86,95,112,123,132,138,143,147,151,174,137,92,147,169,168,171,173,177,172,134,95,168,182,177,178,179,179,179,88,97,113,124,133,140,145,149,149,174,140,93,130,174,168,172,173,182,160,111,118,189,178,179,180,180,180,179,87,97,115,125,133,140,146,150,149,184,147,96,122,175,169,171,178,177,145,99,161,186,181,182,182,181,181,180,88,99,118,127,133,140,146,150,151,193,156,106,123,176,170,174,177,158,120,115,187,181,184,184,183,182,182,182,89,102,118,127,136,141,146,149,150,180,143,105,116,178,171,179,176,150,94,153,189,182,185,185,184,184,184,183,90,103,119,128,137,142,151,166,134,153,122,93,111,179,170,177,174,128,108,186,184,184,185,185,185,185,185,185,91,105,121,130,138,136,176,203,134,115,96,81,107,162,162,169,159,95,152,192,184,186,186,186,186,186,186,186,92,106,122,130,139,138,169,177,129,90,75,82,115,152,158,153,114,101,188,184,185,187,187,187,187,188,187,186,92,108,123,131,134,164,187,138,122,96,64,72,102,135,139,124,83,148,193,185,186,187,187,188,188,188,188,187,94,110,123,131,138,207,181,164,140,128,79,66,93,110,123,104,96,185,186,187,188,189,189,189,189,188,188,188,95,111,125,129,159,180,173,193,181,145,95,70,84,94,108,83,134,193,184,188,188,189,189,189,189,189,189,189,97,114,126,128,175,160,168,189,187,123,85,76,75,89,90,75,164,191,187,189,189,190,189,189,190,190,189,189,98,114,125,133,187,151,134,116,144,116,92,82,76,75,81,77,167,192,187,190,191,191,192,192,191,191,190,189,98,116,124,142,182,130,118,116,129,128,102,82,76,77,77,74,164,194,188,191,192,192,193,194,193,192,192,191,100,117,122,152,188,153,149,124,126,160,110,91,83,79,74,75,169,193,190,192,192,192,193,193,193,193,193,192,102,118,121,156,184,167,146,121,187,201,125,112,95,75,73,77,176,192,190,192,193,193,193,194,194,193,193,193,103,118,121,156,197,170,135,143,211,181,135,114,98,75,70,90,186,190,191,193,194,193,193,194,194,194,194,194,104,119,123,154,191,148,139,152,194,153,124,105,99,81,67,110,194,188,191,193,194,194,194,195,195,195,195,194,106,120,127,147,176,144,154,145,182,147,133,102,91,81,64,128,196,188,192,193,194,194,195,196,196,196,195,195,107,119,126,141,160,161,169,144,183,147,133,119,84,78,66,141,198,188,193,195,195,196,197,196,196,197,196,195,105,116,127,135,160,181,153,140,182,140,117,107,82,74,70,162,192,188,192,194,193,194,195,195,196,196,196,195,105,115,126,133,153,177,154,131,157,126,99,86,76,68,76,173,188,187,190,191,192,193,194,195,195,195,195,195
20,65,70,75,85,108,127,135,141,153,160,165,170,176,185,175,188,192,187,189,188,188,188,189,187,187,186,185,182,66,71,76,87,112,132,140,147,159,166,172,177,179,217,146,142,183,194,195,194,193,194,193,192,191,191,190,188,67,72,77,91,116,136,144,152,165,173,180,186,187,235,159,145,148,153,211,199,200,199,198,198,196,195,195,194,68,74,78,95,121,139,146,157,171,179,185,193,192,242,162,151,192,99,202,209,206,205,204,204,202,201,201,198,69,75,78,97,123,142,149,161,175,183,190,197,199,237,159,129,213,92,166,222,210,212,211,209,207,207,206,203,70,75,78,100,126,144,152,163,178,187,193,201,203,238,188,113,206,120,133,229,215,217,216,214,213,213,211,209,70,75,80,104,129,146,154,166,181,190,197,204,205,243,197,107,205,158,114,226,223,223,221,220,219,218,217,214,72,76,81,106,130,148,156,170,184,194,201,209,209,247,182,102,196,167,101,219,230,227,226,224,224,223,221,220,72,76,82,108,132,151,159,172,187,197,205,212,213,255,199,103,197,198,103,210,237,230,231,230,229,228,226,225,72,76,83,110,135,154,160,175,189,200,206,212,216,246,193,100,182,213,113,196,243,233,233,233,233,233,231,227,73,77,85,112,138,155,162,179,194,201,212,211,181,224,142,83,175,208,109,180,251,236,237,237,237,235,231,230,73,76,87,114,140,157,165,181,196,204,221,250,218,213,181,85,151,199,104,162,255,239,239,237,238,242,248,241,73,74,88,117,143,159,167,183,197,201,222,255,253,171,180,155,116,125,89,148,252,238,249,254,247,224,173,99,74,74,89,119,146,161,168,184,210,194,189,199,240,185,106,144,162,108,64,115,255,249,214,159,111,68,35,38,72,74,92,122,147,163,171,183,236,255,209,129,175,235,129,72,138,157,97,76,175,109,55,36,34,48,55,49,69,71,91,122,148,162,171,187,225,227,242,172,105,214,222,90,98,167,162,97,42,32,34,41,41,31,52,46,67,69,90,123,149,162,170,191,214,139,152,193,162,168,225,124,96,154,178,145,72,32,35,24,48,31,35,48,67,69,92,123,150,163,173,192,227,189,125,109,176,162,109,98,89,101,163,162,115,54,41,24,29,42,28,36,62,63,90,125,153,165,176,194,234,199,122,100,110,123,117,138,146,133,164,157,133,79,23,46,21,30,30,32,99,101,108,121,138,147,158,166,216,189,139,132,135,149,170,195,227,230,192,126,120,79,0,38,39,21,29,25,106,107,107,103,107,109,114,102,165,232,189,142,140,175,199,236,255,232,184,121,98,66,0,17,46,33,28,19,107,109,112,115,115,115,119,113,140,239,204,164,143,187,199,245,255,225,177,123,94,64,0,0,35,36,34,24,110,112,112,114,115,117,120,118,123,230,226,196,144,193,197,237,242,204,164,125,95,64,17,0,20,37,34,30,110,110,111,112,112,115,118,121,113,206,235,210,152,193,193,211,233,203,160,123,94,53,32,0,2,35,32,29,108,109,111,111,112,114,115,119,111,161,231,213,168,197,173,181,212,215,161,116,93,36,37,9,0,25,33,23,108,109,111,110,113,114,114,118,119,118,202,226,188,198,167,153,196,202,149,104,84,23,35,26,0,3,34,18,108,109,111,111,112,114,115,116,119,113,143,222,202,188,167,132,160,173,133,106,62,0,29,37,8,0,21,28,107,108,110,110,111,113,114,114,116,119,112,199,214,183,158,136,130,150,132,111,25,0,12,40,22,0,0,26
24,174,176,177,179,179,180,180,180,181,181,181,182,181,182,181,181,182,181,181,181,180,179,178,173,105,33,17,21,177,179,180,181,181,182,183,183,183,183,184,184,185,185,184,183,184,184,184,183,182,181,180,160,83,38,30,25,180,181,183,183,184,185,185,186,186,186,187,187,186,186,187,186,187,187,187,186,185,184,183,163,73,39,39,50,182,183,185,186,187,188,188,188,188,188,189,189,189,189,189,189,189,188,188,188,187,186,186,174,89,43,54,52,184,185,186,187,188,189,191,191,191,191,191,192,191,191,192,193,192,192,192,191,190,189,187,184,131,48,55,38,185,187,188,190,190,192,193,193,193,193,193,194,194,194,194,194,194,194,194,193,192,192,191,188,171,69,48,30,187,189,190,192,192,193,195,195,194,194,195,195,195,195,196,196,196,196,195,195,194,194,193,192,189,105,46,26,189,191,193,193,193,188,196,196,195,196,196,197,197,198,198,198,199,199,199,198,196,195,195,194,192,152,42,32,191,192,195,194,195,152,182,198,198,199,199,199,199,199,200,199,200,200,200,200,199,197,197,196,195,182,117,115,192,193,196,196,192,148,145,200,199,200,200,200,200,200,201,201,201,201,201,201,201,199,198,198,196,189,134,177,193,194,197,198,197,160,114,192,201,201,201,200,200,202,202,202,202,202,202,202,201,201,200,199,198,190,158,194,194,195,198,200,198,176,124,156,201,201,201,201,202,203,204,204,204,204,204,185,194,201,201,201,200,197,178,152,195,197,199,200,201,194,154,117,192,202,203,202,204,197,188,205,196,177,208,165,139,197,202,202,201,197,180,130,195,198,199,200,201,201,178,132,144,200,204,203,211,197,165,185,186,137,163,179,119,181,204,202,200,189,156,127,196,200,200,201,202,203,194,168,140,167,204,202,220,216,188,153,181,147,145,189,128,181,205,202,207,180,130,108,196,199,200,200,201,203,201,184,156,153,185,200,205,222,206,150,160,165,139,184,144,176,204,202,207,148,114,162,195,198,199,200,201,202,202,196,180,185,174,187,182,196,214,163,129,169,139,194,146,157,183,199,187,116,165,201,196,198,200,201,201,202,203,203,210,198,181,161,149,153,201,174,117,143,148,192,152,111,165,183,151,133,197,199,196,198,200,201,201,202,204,205,212,212,168,149,128,122,160,178,119,131,164,174,179,121,173,160,125,186,201,200,196,199,201,201,202,203,205,206,207,218,213,174,133,132,140,174,137,123,179,136,155,165,170,133,131,202,203,201,197,199,201,201,202,203,204,206,206,216,223,211,172,129,139,163,157,119,190,141,191,179,159,116,169,204,203,201,157,161,163,168,171,175,179,183,186,197,230,225,214,161,133,161,187,165,192,200,201,161,143,124,199,205,203,203,101,101,103,104,104,104,106,106,107,123,221,219,221,192,151,141,191,225,229,220,183,148,128,118,149,153,168,184,102,103,104,104,103,103,104,104,104,104,184,213,223,211,170,147,157,217,224,201,166,137,113,124,152,180,199,210,104,102,103,103,104,105,104,105,105,104,128,213,225,213,178,149,149,195,207,181,157,121,126,202,207,204,209,218,103,102,102,102,103,104,104,106,106,106,105,186,208,189,161,142,146,170,183,162,132,109,157,183,192,206,201,208,102,103,103,102,103,103,104,106,106,106,104,159,204,174,164,153,150,162,169,149,114,118,193,172,164,182,193,194,100,102,102,103,104,103,104,105,105,104,105,142,207,192,184,170,161,163,165,138,102,130,188,182,139,155,178,190
8,134,135,137,137,139,139,140,141,140,140,140,140,139,139,139,138,138,138,138,136,135,134,134,133,133,132,130,128,134,137,139,140,141,141,141,141,142,141,141,141,141,140,140,140,140,139,139,137,137,136,135,135,135,134,132,131,137,139,140,141,142,143,144,143,143,143,144,143,141,143,141,142,141,141,140,139,138,138,137,137,136,134,133,132,139,140,141,144,145,144,144,144,145,145,144,144,142,138,144,142,141,141,142,141,140,139,139,138,138,136,134,133,140,142,143,144,145,146,145,146,147,147,142,153,154,101,135,146,143,142,142,142,141,140,140,139,138,137,135,134,142,144,146,144,146,147,147,147,148,147,143,165,144,77,126,149,144,144,144,143,141,141,140,140,139,137,138,137,144,145,146,146,147,148,149,149,149,149,146,169,122,72,136,150,145,147,146,144,143,142,140,140,140,139,139,138,144,146,148,149,149,150,151,150,150,150,151,169,111,75,146,150,148,147,146,145,144,144,143,142,141,141,140,139,147,147,148,150,150,150,151,152,152,149,158,172,109,86,149,150,148,146,147,146,145,145,144,143,142,141,140,140,148,149,150,151,152,152,153,153,154,150,164,160,92,91,152,150,150,149,148,146,146,145,145,144,143,142,141,141,149,151,151,153,154,154,154,155,155,150,169,158,93,100,156,150,150,147,152,148,146,147,146,146,144,144,142,142,151,153,153,155,157,156,156,157,158,152,176,157,115,114,152,151,162,111,119,157,151,150,146,146,146,146,144,142,151,153,154,156,157,158,159,158,158,156,177,150,127,122,159,168,164,116,79,106,109,139,153,151,146,147,145,144,152,154,156,157,157,158,158,159,159,158,174,156,140,131,172,169,164,144,107,63,64,76,139,131,152,147,147,146,154,156,158,159,159,160,160,162,158,168,183,151,139,145,165,151,158,159,125,116,88,56,85,62,100,155,145,146,156,157,159,161,161,162,162,163,159,178,169,137,132,128,162,139,100,150,142,140,105,59,61,62,45,137,151,146,157,159,161,162,162,162,163,159,167,175,139,112,121,113,151,124,74,81,145,131,102,57,36,55,42,109,159,146,159,161,162,163,164,163,164,162,184,176,147,115,98,89,145,143,110,42,158,143,109,63,34,48,49,136,155,148,159,162,163,164,164,166,162,175,192,169,140,114,100,77,139,147,94,48,141,155,109,66,43,36,95,160,151,151,159,162,165,165,166,167,164,188,188,162,131,110,102,68,74,117,96,88,142,161,111,68,37,82,157,154,153,152,162,162,164,165,167,165,171,193,174,146,137,122,102,76,138,164,156,152,144,146,108,59,73,162,157,156,156,153,162,163,165,167,167,168,182,189,166,155,140,108,94,147,184,172,148,156,132,117,100,63,79,169,156,158,157,155,163,164,167,166,173,150,181,189,164,161,130,101,142,180,170,156,131,144,122,93,96,59,104,168,157,157,158,156,164,165,168,169,174,81,107,193,168,161,118,138,174,178,161,147,127,132,121,76,76,58,158,163,159,159,158,157,164,166,166,177,112,61,55,103,161,152,123,144,165,168,156,145,117,119,111,73,44,108,173,161,162,160,158,157,165,166,175,147,65,61,62,52,72,110,113,137,150,157,148,133,112,115,89,51,54,164,164,163,163,161,160,158,165,170,163,78,62,59,56,63,38,27,55,69,93,120,126,117,110,94,61,35,134,173,164,165,164,162,161,159,165,168,101,59,62,57,55,55,57,14,31,34,31,37,53,65,66,53,32,104,176,165,166,165,164,163,161,158
12,163,163,165,168,169,169,173,173,174,174,174,173,173,173,172,171,170,170,169,169,169,167,167,166,164,162,163,163,164,166,168,169,171,173,174,174,175,175,176,175,176,173,174,175,173,171,171,170,169,169,168,167,166,166,165,164,166,168,169,171,173,175,175,176,177,177,178,177,177,177,177,177,175,173,173,172,171,171,170,170,169,169,166,166,168,169,171,174,175,175,177,178,178,178,179,180,178,178,177,176,176,176,176,174,174,174,173,172,170,170,169,168,169,171,174,176,177,177,179,181,181,180,182,182,182,184,180,178,179,182,183,175,175,174,176,174,172,171,170,169,170,174,176,177,178,180,181,183,183,184,184,181,179,170,179,185,172,143,143,184,181,180,176,176,175,174,172,170,173,175,177,179,181,183,184,184,185,186,183,193,180,130,106,177,164,113,49,143,164,158,183,179,175,175,174,173,176,177,180,182,184,184,186,187,187,188,189,200,178,130,55,125,158,111,66,73,132,75,98,183,177,176,176,175,177,179,183,185,186,185,188,188,188,186,159,191,163,112,51,105,193,132,90,69,118,78,37,124,190,175,178,177,178,180,184,185,186,188,188,188,206,190,121,153,177,123,36,122,241,150,103,97,126,82,41,99,194,177,179,179,180,182,184,186,187,189,186,208,228,190,140,98,220,164,43,105,220,124,73,155,144,96,31,115,196,179,181,181,182,183,185,187,190,193,187,216,218,197,141,73,193,148,72,84,125,88,92,194,125,62,24,130,195,182,184,182,184,185,187,189,191,191,193,230,196,167,113,64,63,88,63,69,127,176,167,128,73,30,37,169,191,184,185,184,184,187,190,192,193,191,221,224,186,114,83,63,17,27,134,174,174,175,156,118,111,46,94,201,184,186,185,186,186,187,190,193,193,195,239,211,163,116,113,46,17,142,217,206,178,159,129,107,112,57,114,205,187,189,187,186,187,189,192,194,194,197,240,214,133,139,143,58,122,226,215,205,177,151,132,104,90,40,127,206,189,191,190,188,189,191,193,196,193,208,243,215,178,156,128,153,210,219,215,197,175,143,123,96,69,29,150,203,191,192,190,189,189,192,194,198,194,216,242,223,199,185,138,177,210,219,203,190,166,128,110,85,60,19,139,207,190,193,192,191,191,192,196,199,196,215,238,227,208,188,148,190,205,208,189,176,149,117,99,73,53,16,136,209,192,195,193,192,193,194,197,201,198,210,232,224,215,185,150,175,197,185,177,168,131,102,81,61,38,25,181,201,196,197,194,193,194,194,197,200,197,205,232,225,215,169,140,164,175,180,166,149,113,88,71,51,16,131,208,198,200,198,197,195,194,194,198,200,212,209,217,215,184,141,140,165,173,181,165,135,113,87,63,34,133,210,198,201,201,199,198,197,193,194,199,199,137,193,219,196,179,173,166,164,182,185,157,117,109,80,29,131,219,200,201,201,202,201,198,197,195,194,207,168,34,85,218,215,203,185,161,140,168,168,127,96,91,39,90,214,203,203,203,201,202,201,200,198,195,197,203,96,72,47,91,164,156,143,133,123,152,136,99,85,52,58,204,209,204,205,205,203,202,202,201,199,192,208,166,60,72,66,0,42,43,42,37,39,67,73,70,57,35,177,216,205,207,206,206,204,204,203,202,201,192,200,105,62,66,75,0,8,33,28,14,6,2,6,15,0,27,188,211,207,207,207,206,206,204,202,202,200,202,163,64,66,63,71,0,0,21,23,13,9,7,4,0,0,0,107,224,203,207,206,206,204,202,202,201,199
12,152,154,156,158,159,160,162,164,166,167,168,168,169,169,170,171,171,171,171,171,171,173,172,172,172,173,173,173,153,154,156,159,161,162,164,166,167,168,170,170,171,171,172,172,172,172,173,172,173,174,173,172,173,175,175,175,154,157,159,160,163,165,165,167,169,171,170,172,173,172,172,173,174,174,174,173,174,175,173,174,176,176,175,176,156,158,160,162,164,165,167,169,171,172,172,171,176,178,177,175,176,176,179,180,175,176,176,177,178,178,177,177,157,159,161,163,165,166,169,170,172,173,173,174,171,158,164,178,178,167,148,160,180,176,178,178,178,178,178,178,158,160,163,164,166,167,170,172,173,174,173,186,177,153,127,165,191,172,145,104,175,181,178,185,180,179,179,179,160,161,164,166,168,170,171,173,174,175,174,203,196,175,142,122,194,173,152,118,130,143,139,147,184,180,181,181,160,163,165,167,169,171,172,175,175,176,179,203,205,183,153,117,191,182,154,133,81,128,138,101,148,189,181,183,162,164,165,169,170,172,173,176,178,177,185,194,207,197,166,128,181,191,152,120,82,148,146,98,103,191,181,184,164,165,167,170,171,172,175,176,178,176,185,157,141,188,173,124,163,181,139,106,84,155,147,97,94,187,184,184,165,167,169,170,172,175,176,178,176,193,189,139,103,137,161,111,150,162,134,112,83,145,144,104,93,186,186,186,166,168,170,171,174,176,178,177,192,196,183,145,123,104,146,106,139,161,129,106,85,149,140,106,96,188,186,187,167,168,171,172,174,176,178,184,192,172,186,160,133,94,115,107,125,158,134,100,94,164,153,110,101,195,188,188,167,169,172,173,175,177,177,190,178,146,179,158,129,95,91,129,121,172,155,108,116,203,177,112,129,198,187,189,168,170,171,175,177,178,180,192,183,151,154,156,131,94,79,132,111,153,149,101,97,175,145,85,119,198,188,189,169,170,172,175,177,178,183,188,173,142,141,164,121,98,58,82,68,75,141,109,126,150,111,104,88,150,197,187,170,171,173,176,179,179,185,195,175,148,134,159,112,98,65,58,58,123,180,178,172,163,140,119,96,113,198,188,170,172,174,177,179,180,189,194,173,148,119,145,113,105,64,69,112,179,182,176,163,152,131,110,91,129,199,189,170,172,174,176,179,178,189,193,175,158,129,119,122,116,72,95,169,188,190,180,156,144,125,106,87,156,200,191,171,173,175,177,180,179,190,193,179,166,154,128,113,106,112,146,196,191,198,175,148,137,120,102,91,177,198,193,172,174,176,178,181,181,190,195,186,170,161,156,135,125,146,157,196,197,197,167,140,130,112,94,114,195,194,194,173,174,176,178,181,182,188,194,187,175,166,163,156,135,139,149,198,198,182,160,135,121,109,88,152,202,193,194,173,175,177,179,181,182,185,188,184,179,170,163,156,141,131,155,199,193,168,150,131,114,103,91,181,198,194,195,173,176,179,181,182,184,184,183,182,180,169,164,155,142,128,156,185,181,154,138,122,107,93,110,199,194,195,196,173,175,178,180,182,183,186,185,185,184,170,164,156,143,125,154,173,162,141,127,114,105,86,150,204,194,196,197,174,176,178,179,181,182,184,185,188,181,167,159,151,135,121,152,159,140,130,115,107,96,105,192,197,197,197,197,174,176,177,180,181,183,184,183,189,174,156,150,135,121,124,147,149,130,124,109,103,92,156,199,193,195,196,196,174,176,177,180,182,183,182,182,193,171,158,149,126,123,129,147,144,128,118,107,95,121,197,193,194,195,197,196
18,161,162,163,164,165,166,167,167,167,168,168,168,167,167,167,166,164,164,166,165,163,162,162,162,161,161,159,157,163,165,166,166,166,167,169,169,169,169,169,169,169,167,168,168,166,166,166,165,166,164,163,163,163,161,160,159,163,167,168,168,168,168,170,171,170,171,170,170,169,169,169,169,169,168,166,169,168,165,163,164,163,162,161,161,164,167,169,170,169,169,171,171,171,172,173,171,171,171,171,170,170,167,172,154,158,168,166,166,164,164,163,162,167,169,170,170,171,171,172,174,173,174,174,173,174,175,173,171,170,173,197,124,120,176,166,167,166,165,164,163,169,170,171,171,172,173,174,175,174,175,175,174,172,170,172,176,163,179,204,130,83,174,168,169,167,168,166,165,170,171,172,173,174,176,176,176,175,176,175,178,185,148,119,146,128,144,206,162,80,124,181,167,169,170,168,167,171,173,174,175,176,177,177,179,178,178,177,177,187,177,134,105,112,155,205,170,108,71,153,176,168,170,169,168,172,174,174,176,177,178,180,180,179,178,183,155,112,144,161,118,86,115,177,174,131,109,83,157,177,171,171,169,174,175,176,177,179,180,181,179,183,197,186,159,122,79,148,131,88,67,95,150,144,119,81,96,184,169,172,170,174,176,177,179,180,180,181,178,207,204,202,164,136,87,99,124,79,56,55,145,164,123,92,90,183,171,173,172,175,177,179,180,181,183,179,195,195,184,204,166,140,96,65,85,73,52,51,156,171,142,91,93,184,173,174,173,175,178,181,181,183,182,186,218,197,168,180,158,136,92,61,71,62,53,48,131,169,152,94,84,184,176,176,174,178,180,182,183,183,184,204,195,169,169,172,119,99,78,66,96,48,46,59,140,169,153,98,83,185,175,177,176,179,181,183,185,181,194,218,192,154,137,147,89,83,66,90,92,74,120,123,138,160,136,91,80,185,177,177,177,180,182,183,184,183,196,221,202,180,129,106,122,87,28,97,137,166,167,162,122,122,120,95,70,177,181,179,177,181,183,184,187,183,207,219,207,183,140,110,119,69,50,181,193,182,158,144,128,94,111,99,66,172,184,180,180,182,183,185,187,187,214,218,199,157,138,125,110,78,159,206,189,178,154,124,128,96,95,84,76,185,181,181,180,183,184,186,186,192,216,216,190,159,150,117,86,140,199,193,183,166,147,127,118,102,87,61,127,192,181,182,180,182,185,187,186,196,217,214,186,159,158,115,124,177,202,187,174,163,148,121,111,98,75,67,180,185,184,182,182,183,184,187,188,198,215,208,187,171,169,115,155,171,192,181,165,158,138,109,102,90,55,112,194,182,184,182,182,184,186,188,187,198,211,205,190,182,152,122,130,169,170,169,157,147,124,104,92,77,57,171,190,184,184,183,183,184,187,188,187,198,212,203,198,179,138,106,127,154,159,155,151,134,114,94,84,50,116,197,184,187,185,184,184,186,188,189,188,202,201,196,191,155,113,105,139,146,156,149,138,122,99,81,59,72,186,188,188,189,187,186,185,185,185,189,189,206,198,193,179,155,135,133,138,149,152,143,124,110,91,68,53,166,194,187,190,189,188,186,185,191,196,190,191,214,209,208,193,182,164,145,125,145,149,131,107,95,78,47,142,199,188,190,189,188,188,187,186,161,146,185,204,215,207,206,193,172,153,141,117,135,140,115,98,86,54,127,200,190,191,190,190,189,188,188,187,101,66,77,168,209,205,201,187,164,138,133,118,131,125,104,92,60,106,203,192,193,192,192,191,190,190,189,188
21,176,178,180,181,181,182,183,183,183,183,183,178,181,183,180,179,177,176,176,175,174,171,170,168,168,167,166,164,177,180,182,183,183,183,184,185,185,184,188,163,139,183,183,181,179,179,177,178,176,174,172,172,170,169,167,165,177,180,183,183,184,185,186,186,187,186,187,171,125,151,190,181,182,181,179,179,178,176,172,160,171,170,168,167,179,181,183,185,186,187,188,189,188,188,188,179,145,115,186,185,183,183,182,181,180,178,170,119,146,177,170,169,180,183,184,186,187,188,189,190,189,189,190,187,159,104,165,192,184,184,184,183,179,180,163,109,140,180,171,171,182,185,187,187,188,189,190,191,190,192,192,191,175,126,138,195,186,187,185,184,182,181,154,105,155,179,173,172,183,186,188,188,189,190,191,191,191,194,193,193,186,141,118,189,189,188,186,186,184,177,138,107,171,177,174,172,185,187,189,190,191,192,194,193,193,194,194,194,195,150,107,176,192,187,187,187,186,172,129,120,183,176,176,175,186,189,190,190,192,194,195,195,195,196,196,195,196,166,114,157,197,188,189,188,180,158,113,141,186,177,178,176,187,190,191,193,193,193,194,195,195,197,197,195,191,181,136,137,199,188,190,188,171,142,97,167,184,179,177,176,188,189,191,193,193,194,195,195,196,198,199,197,194,191,161,125,181,198,192,190,173,129,111,187,181,182,179,177,188,189,192,194,195,196,196,197,198,199,199,199,196,196,190,151,136,172,183,174,159,112,146,191,181,182,181,179,189,191,192,195,196,197,198,199,199,200,200,200,196,153,156,166,132,130,133,140,118,98,174,188,183,183,181,181,189,191,193,195,197,198,198,200,201,201,200,201,193,143,112,147,144,139,144,147,95,113,195,185,185,184,183,181,190,192,194,196,196,198,200,201,201,201,201,202,178,165,128,126,145,129,134,133,98,120,197,186,186,185,184,182,190,193,195,196,198,200,201,201,202,202,203,182,142,162,138,112,130,93,123,150,114,96,187,189,186,186,185,183,191,194,196,198,200,201,202,202,202,202,201,180,136,143,139,94,105,84,110,157,131,90,147,196,185,186,185,183,192,195,197,199,200,201,202,203,203,203,201,184,141,125,124,81,105,106,155,165,154,103,103,193,186,186,185,184,192,196,198,200,201,202,203,203,206,204,197,171,141,117,111,81,107,144,184,168,146,102,100,192,187,187,186,184,193,196,198,200,201,203,204,205,205,205,195,182,165,128,99,90,127,184,174,154,133,88,113,197,188,188,187,185,194,196,198,200,202,203,204,204,204,205,195,185,170,137,118,117,176,190,163,140,129,82,135,200,188,189,187,185,194,196,199,200,202,203,204,205,205,207,193,183,170,145,118,121,180,178,163,141,125,84,153,200,188,188,187,185,194,197,199,201,202,203,204,206,206,207,193,172,164,143,119,121,171,174,155,136,114,83,171,197,190,189,187,186,194,197,200,202,203,204,205,206,206,208,195,170,167,149,130,122,164,168,149,125,97,89,191,193,191,190,188,186,195,196,200,202,203,204,205,207,206,207,204,179,168,153,135,113,148,149,129,111,76,116,203,190,191,190,188,187,194,195,197,200,201,203,204,205,205,205,205,190,177,158,133,115,128,134,117,101,68,156,200,190,190,188,187,186,193,196,197,199,202,203,203,204,205,205,205,194,177,157,135,125,121,128,127,88,95,195,192,191,189,188,187,186,194,196,198,201,202,203,204,205,205,205,203,195,181,160,148,143,129,130,122,77,146,203,191,191,189,188,186,185
22,176,178,179,180,180,180,181,182,181,181,182,183,182,182,182,182,181,181,183,181,179,180,178,180,160,72,31,30,178,179,181,181,182,183,184,184,184,185,186,186,185,185,185,185,185,184,185,185,182,182,180,182,165,61,38,47,180,182,183,184,185,186,186,186,187,188,189,187,188,187,187,187,188,188,187,186,186,184,184,181,187,104,39,59,181,184,185,186,186,187,188,189,189,189,190,191,187,189,192,189,189,190,188,191,188,187,186,184,189,142,47,51,183,186,187,188,188,190,192,192,192,192,192,192,198,170,177,196,191,195,182,161,194,189,189,186,186,187,68,39,186,188,189,190,192,192,192,193,194,194,194,191,212,161,149,204,192,200,189,119,192,192,192,189,187,166,88,18,187,189,192,193,193,194,193,194,196,195,195,194,212,160,140,207,194,198,176,115,190,194,194,190,202,129,110,81,188,191,192,194,194,194,196,196,197,197,198,195,218,178,131,204,197,198,180,121,186,197,194,198,193,115,144,153,190,193,194,196,197,196,198,198,199,200,200,195,220,203,129,200,199,201,188,130,188,199,194,206,174,122,146,176,192,193,195,198,199,198,199,200,201,200,201,197,213,224,132,195,203,199,180,133,193,202,197,218,166,128,183,176,193,194,196,197,197,199,200,200,201,201,201,199,209,235,136,176,208,196,180,131,191,203,203,217,148,143,205,150,194,195,197,199,200,200,201,200,201,202,202,201,207,240,172,144,210,199,193,137,189,203,212,202,124,158,208,165,194,196,199,199,201,202,202,202,202,204,204,203,204,234,200,127,196,195,191,139,192,207,216,187,113,180,205,192,196,198,200,201,201,202,202,204,205,204,205,207,202,222,193,148,155,146,186,158,201,216,212,161,124,203,200,199,197,198,200,201,201,201,202,204,205,206,206,207,209,233,203,181,176,95,140,174,190,189,191,132,157,211,199,200,195,195,197,200,200,201,202,203,203,204,206,203,223,214,222,180,189,149,117,122,145,150,146,114,195,205,201,200,195,196,199,201,201,202,203,203,202,204,205,206,222,178,204,178,154,194,177,115,96,130,114,120,210,200,201,199,195,197,200,200,202,202,204,203,204,207,205,216,226,197,184,179,99,167,188,161,107,95,97,130,211,199,200,199,194,196,199,200,200,201,203,203,205,207,204,221,220,178,143,178,100,84,167,186,161,102,77,146,213,201,200,199,200,203,205,205,204,205,207,206,208,211,204,219,222,173,145,149,121,70,136,209,198,156,83,165,211,201,201,199,168,173,176,180,183,187,191,193,196,201,199,211,232,185,150,122,135,146,194,199,212,184,122,132,218,211,210,208,97,97,99,102,102,103,106,107,110,116,106,174,240,211,148,129,160,208,225,210,204,181,144,109,160,158,159,167,101,102,102,103,101,101,101,101,100,105,90,164,242,229,150,137,156,215,227,219,196,167,123,92,97,120,151,181,103,101,100,102,104,104,104,105,105,107,99,163,235,231,153,153,150,217,232,218,191,162,102,134,204,209,217,222,100,100,100,100,102,102,103,105,105,108,99,141,232,229,168,172,146,211,238,205,181,148,93,163,215,201,202,214,99,101,101,100,101,101,102,104,105,105,101,115,220,227,186,173,150,196,225,185,162,125,93,157,180,197,199,202,99,100,100,101,102,101,101,104,104,103,105,100,196,225,193,163,144,171,209,166,133,103,99,179,142,156,183,199,99,100,101,101,105,102,101,103,104,105,105,98,187,209,174,150,131,134,181,147,115,90,115,197,138,139,173,195
1,132,133,136,137,138,139,140,139,140,140,140,140,139,139,140,137,136,139,135,134,133,132,131,130,128,127,126,125,134,135,137,139,140,141,141,141,141,141,142,141,141,142,140,141,132,108,137,137,134,133,132,132,130,128,127,127,135,137,140,142,142,144,144,143,144,142,143,143,143,143,141,153,137,62,118,133,136,134,134,133,133,131,130,128,137,139,140,143,144,146,147,147,146,146,146,146,143,148,130,132,134,74,120,85,126,140,137,135,133,133,131,130,140,141,143,145,146,148,149,148,148,148,149,149,145,159,114,98,122,76,133,80,112,146,139,137,137,135,134,133,141,143,146,147,147,149,150,149,150,150,151,151,151,162,102,101,124,78,128,78,100,150,140,140,139,137,136,135,143,144,146,150,150,150,152,152,153,153,153,150,143,159,88,98,123,78,126,81,93,152,143,143,141,140,139,137,145,147,149,151,152,153,154,155,155,155,156,154,108,148,86,93,120,77,125,91,92,152,145,145,143,143,140,139,146,149,152,153,154,154,155,155,156,155,164,140,88,139,78,107,122,77,118,89,92,154,146,147,145,144,142,142,148,150,152,154,155,156,157,157,157,156,169,121,80,125,75,137,126,80,134,105,89,156,149,149,147,146,145,143,149,151,155,156,156,157,160,161,160,159,170,109,89,138,81,132,109,78,151,111,94,158,151,151,148,147,146,145,150,153,157,159,159,161,161,162,161,166,170,87,95,132,64,108,81,72,148,100,97,160,152,152,150,149,148,147,153,155,157,160,162,163,162,163,161,173,166,95,126,103,75,109,95,112,143,95,99,161,153,155,153,150,150,147,154,156,158,161,163,164,163,164,161,181,152,88,144,133,125,116,107,133,127,91,100,163,154,155,155,153,152,149,155,157,160,162,164,165,166,166,164,182,150,128,109,139,155,154,119,93,99,84,99,165,157,157,156,153,153,150,157,158,162,163,164,166,167,166,171,179,154,130,85,109,118,146,149,125,91,64,97,168,160,159,158,155,154,152,157,160,162,163,164,166,168,165,178,177,132,106,96,100,105,139,157,148,131,81,92,171,159,161,158,157,156,154,158,162,164,164,166,168,169,165,185,179,124,110,116,108,132,152,154,163,138,115,80,152,166,161,160,157,155,155,159,162,164,166,168,169,171,167,187,180,131,116,118,119,154,177,163,152,131,114,73,139,169,161,161,159,157,156,160,163,165,167,168,170,170,168,184,184,147,126,114,129,174,186,163,138,111,95,72,139,170,161,161,161,159,156,160,163,166,168,169,171,171,169,181,193,164,132,121,125,185,193,156,121,98,78,72,138,171,163,162,162,159,157,161,164,166,169,171,173,173,171,177,190,163,136,126,116,184,178,145,112,92,75,79,157,169,166,164,162,161,159,162,164,167,170,171,171,173,173,175,183,160,146,127,123,173,160,132,105,87,73,96,170,166,167,165,163,162,160,162,164,167,170,171,172,173,174,174,177,169,164,137,148,166,142,119,97,83,74,133,174,167,167,165,163,162,161,163,165,168,170,172,173,173,174,174,172,173,165,134,130,144,128,104,89,77,87,164,170,169,167,166,164,163,161,164,166,169,170,172,173,174,175,176,175,166,149,127,115,121,117,101,88,75,106,176,169,169,168,167,164,163,163,164,166,168,171,173,173,174,174,175,176,160,136,124,126,122,119,115,88,72,134,177,170,169,168,166,164,163,163,162,164,167,170,171,172,173,173,173,173,169,149,149,142,125,113,113,81,70,155,173,169,169,168,165,164,162,162
15,90,90,92,91,96,97,98,102,104,113,127,137,146,151,156,162,164,167,170,175,178,182,184,186,188,191,193,195,90,90,91,90,94,96,92,99,104,115,126,136,145,152,158,162,164,168,171,174,177,183,185,186,188,192,194,196,91,90,91,91,93,94,111,98,100,115,128,138,148,153,158,164,165,167,172,177,178,183,186,188,191,195,198,198,92,90,90,94,78,136,200,151,119,114,122,136,148,157,161,167,167,167,170,176,180,184,187,190,192,195,196,197,93,91,89,93,80,139,204,187,174,159,141,143,136,149,159,166,169,170,174,178,181,183,187,192,193,193,196,197,91,92,92,93,93,95,151,154,149,167,166,167,153,144,139,145,150,157,165,176,184,190,192,191,193,194,198,200,90,91,91,92,95,94,98,114,114,134,145,151,172,166,157,152,149,151,150,142,146,154,173,199,193,198,199,201,91,91,91,92,93,96,97,99,106,117,121,116,146,155,154,147,151,167,176,160,134,117,96,162,202,195,200,202,92,92,92,93,95,99,100,100,105,117,128,130,137,141,139,133,128,166,175,178,154,142,107,86,182,204,198,203,90,92,92,92,94,97,99,99,104,118,129,140,150,152,151,143,143,180,177,178,165,160,138,110,103,196,204,202,91,92,92,92,94,95,98,101,105,115,125,139,147,158,167,158,192,192,164,170,186,168,162,142,98,109,202,204,92,92,92,92,95,95,98,101,105,115,147,146,149,147,155,186,199,183,133,173,185,167,188,156,120,81,126,214,91,92,92,93,95,95,99,102,96,147,190,164,172,166,142,159,156,123,101,164,164,162,199,163,125,101,77,153,91,91,91,91,92,94,96,100,100,141,165,173,199,198,156,122,136,112,75,151,141,170,191,164,132,108,89,84,90,89,89,90,92,96,96,100,103,116,136,152,192,190,148,148,158,146,136,137,142,154,162,153,130,106,90,87,90,89,89,89,91,94,94,97,103,118,130,145,158,142,141,164,162,154,161,165,149,112,107,126,115,102,89,85,89,87,87,89,90,90,92,94,103,119,130,134,149,157,125,147,163,166,172,175,150,107,88,99,100,96,97,87,86,86,86,88,89,90,91,93,102,117,129,134,161,227,137,88,92,150,162,167,143,102,93,98,96,98,101,95,85,85,86,86,87,89,92,93,102,117,128,133,158,214,142,80,36,72,137,151,125,102,101,100,97,98,103,100,85,85,85,86,86,88,90,91,102,117,127,133,154,203,130,67,91,54,82,135,102,95,98,104,105,102,102,99,84,84,85,85,87,88,90,91,100,116,128,133,153,202,119,86,107,83,98,124,139,116,116,114,110,107,101,97,83,82,83,83,84,86,88,89,99,112,124,135,147,209,101,102,134,108,151,105,151,130,122,113,105,102,99,94,79,79,80,80,81,83,87,87,97,112,123,131,156,219,82,109,201,72,173,160,123,95,98,97,97,97,97,97,83,81,82,83,82,82,84,84,94,109,123,129,153,168,74,129,202,69,155,191,129,127,134,72,76,81,78,81,143,140,138,135,131,131,134,134,136,136,138,139,151,128,105,160,149,109,165,169,173,180,179,107,68,71,70,73,108,106,105,103,104,105,109,112,107,106,104,100,104,103,109,113,110,111,113,113,114,110,113,110,83,83,93,100,108,107,107,105,105,105,106,104,103,107,105,101,103,106,106,107,105,106,109,108,106,104,105,107,107,115,120,112,109,109,108,108,106,108,110,107,108,109,113,111,110,113,109,108,111,111,113,111,112,111,112,115,112,116,152,124
15,117,120,122,123,127,128,131,142,150,157,162,166,171,173,175,177,180,182,185,189,190,191,193,195,197,198,198,199,116,119,118,117,122,125,132,142,150,156,163,167,172,173,175,177,181,184,185,189,191,192,195,198,199,198,199,199,119,113,142,171,135,124,129,141,151,158,162,168,173,174,174,177,181,184,185,189,191,192,195,198,199,197,199,200,121,105,175,207,185,166,151,143,149,153,164,171,174,176,175,177,181,184,187,190,193,194,196,196,198,198,201,201,119,113,138,185,176,174,180,171,168,156,154,156,162,167,172,178,184,188,189,190,192,195,195,197,199,199,201,203,117,120,116,136,146,141,159,168,173,177,170,160,159,157,161,161,162,170,178,187,195,194,196,197,200,201,202,204,117,118,121,122,125,128,140,144,143,168,171,169,164,164,172,175,162,146,139,131,181,200,197,200,201,202,202,204,118,119,122,124,124,127,135,140,135,148,156,154,151,147,169,183,184,162,152,125,117,189,201,199,202,203,204,206,117,118,120,123,124,126,136,146,151,156,156,155,150,145,176,179,183,168,168,151,126,131,197,201,202,204,206,207,117,118,119,122,124,126,136,145,150,160,167,170,163,178,192,180,176,186,175,168,154,123,135,202,202,205,206,208,116,117,119,121,124,128,135,144,158,159,163,170,179,202,195,158,175,189,171,186,168,142,109,143,208,202,206,207,116,118,118,121,125,125,139,181,166,168,164,155,184,183,158,140,163,184,165,197,177,145,126,104,165,211,205,208,117,117,119,122,124,122,149,189,180,192,195,170,144,151,129,99,155,167,165,197,178,148,130,116,110,182,211,209,116,117,120,122,124,125,137,157,165,195,203,173,151,162,156,135,150,157,172,177,171,150,133,118,112,113,189,213,116,116,118,120,122,126,134,146,161,176,174,156,166,171,162,167,168,162,142,136,151,142,130,116,114,103,126,203,116,116,116,117,120,124,135,145,152,159,152,143,164,172,168,173,180,167,137,115,126,128,124,122,115,114,103,138,114,116,116,118,119,123,134,144,150,156,207,155,129,139,167,173,175,162,131,117,122,121,121,125,120,116,114,104,112,113,114,118,118,122,133,144,151,154,217,178,124,78,110,155,168,157,131,121,123,121,123,126,123,119,116,110,112,113,114,116,116,122,134,142,151,154,203,171,114,96,89,105,152,132,120,120,125,126,125,126,123,121,118,112,112,113,114,115,115,122,134,143,152,154,202,170,106,134,105,102,134,145,128,126,131,132,129,125,122,121,118,116,110,111,113,114,115,121,131,140,150,152,195,166,102,172,112,150,121,154,150,142,136,129,127,124,120,118,117,118,110,111,111,114,114,119,129,139,151,146,209,165,93,181,156,124,172,145,135,124,126,123,122,122,122,122,121,118,109,108,107,109,108,115,127,137,148,147,202,149,97,172,189,97,180,168,118,140,110,108,112,110,111,115,118,121,150,146,145,147,147,149,151,154,157,157,167,118,131,179,160,121,177,182,174,187,137,99,99,99,100,102,109,116,129,128,129,131,135,133,131,129,126,125,127,116,130,135,131,130,136,136,137,136,136,113,104,111,117,121,124,125,127,128,127,128,127,126,127,126,121,124,126,130,129,127,128,129,127,127,127,127,128,128,128,135,130,137,135,139,131,129,130,132,130,130,131,131,130,130,133,131,130,133,135,132,131,132,133,133,134,135,130,157,144,145,139,148,133,130,130,130,130,131,133,133,133,133,133,130,130,132,132,132,132,132,132,131,132,135,126,158,173,157,155,156
17,190,191,194,195,197,200,202,202,204,205,207,209,209,209,211,212,213,215,216,215,216,217,218,217,218,218,217,218,189,191,193,194,197,201,203,203,204,206,208,209,210,210,212,213,215,217,218,220,218,222,219,218,219,218,219,220,189,192,194,198,201,202,203,204,205,207,208,211,212,212,212,215,216,218,209,202,215,188,213,221,221,220,220,221,191,193,195,199,202,203,205,206,207,209,210,211,211,214,214,217,216,221,214,163,157,139,175,230,221,221,221,220,192,194,197,200,202,205,207,208,209,210,213,214,214,215,218,219,217,222,238,188,127,115,179,232,220,223,223,221,193,195,198,201,203,205,209,208,210,213,212,213,216,216,217,220,220,219,242,200,145,99,196,231,221,224,224,223,194,196,199,201,203,206,208,209,211,212,213,216,216,220,221,220,223,220,242,217,165,111,215,227,224,224,223,223,194,197,200,202,203,206,209,210,213,213,213,216,220,199,203,229,221,220,247,218,170,142,230,226,227,225,226,224,195,200,201,202,204,208,210,211,213,215,215,214,222,203,155,192,230,228,248,211,169,153,232,226,227,226,227,226,195,199,202,203,205,207,209,212,212,212,211,215,230,210,185,161,195,223,244,212,165,147,231,227,228,227,227,227,196,200,203,203,206,210,212,209,219,223,188,165,215,232,227,222,172,137,201,208,173,150,229,228,230,229,228,226,197,200,201,205,209,210,212,211,234,236,184,151,203,212,241,235,206,139,138,182,164,146,229,229,229,228,228,228,196,201,203,207,209,211,211,219,223,203,217,180,187,160,186,250,229,172,120,149,148,139,228,230,230,229,228,228,199,202,203,206,208,210,211,223,235,179,175,165,125,110,117,254,244,198,129,124,130,130,227,231,231,230,229,229,199,202,204,207,209,212,211,231,218,171,152,167,133,132,129,235,255,215,151,119,129,124,222,234,230,231,231,231,199,202,205,209,210,213,210,234,227,205,186,175,151,173,158,214,255,217,170,122,127,123,213,236,230,232,232,232,201,203,207,209,210,212,214,244,217,187,181,170,164,191,193,236,245,220,183,129,118,120,216,236,231,232,232,232,200,203,207,209,211,212,223,240,197,178,172,170,183,187,251,255,218,206,182,127,112,112,218,238,233,233,232,233,200,203,206,210,214,211,231,243,204,188,173,176,183,222,255,254,220,194,172,128,107,114,223,236,235,233,232,232,201,203,207,210,215,211,237,247,210,194,172,179,192,255,255,243,216,187,164,125,107,128,238,232,234,234,232,233,201,204,209,211,214,209,245,244,214,205,181,182,220,255,249,239,207,173,158,123,102,163,245,231,233,234,233,233,201,204,209,213,215,208,253,244,220,213,198,183,235,255,239,236,209,164,148,120,107,212,238,232,235,234,233,233,201,205,210,213,217,211,255,251,225,225,213,190,234,254,232,226,207,163,140,110,137,242,232,235,235,234,234,234,202,207,211,213,215,210,249,255,230,231,217,204,217,248,226,225,197,160,133,104,189,243,232,234,233,233,234,234,201,206,211,213,216,211,237,255,236,223,212,214,211,236,219,229,203,153,129,108,215,241,234,235,235,234,235,234,203,207,211,212,217,215,230,255,232,221,206,211,216,224,213,232,207,153,126,118,231,237,236,237,237,236,235,235,204,207,209,212,216,214,233,253,228,220,206,206,214,222,209,229,194,153,122,152,245,235,236,237,237,236,235,235,202,206,209,212,218,214,236,254,240,222,211,214,219,220,204,224,178,144,117,199,244,235,237,237,236,236,235,235
8,191,190,191,192,191,191,192,191,191,189,191,169,173,191,187,187,187,186,185,183,182,182,181,180,179,178,177,175,191,191,192,192,192,192,193,192,192,192,196,150,141,196,188,189,189,188,186,185,183,183,182,181,180,179,178,175,192,193,193,194,193,193,194,196,192,199,192,128,139,197,188,191,191,190,187,186,185,185,183,183,182,180,178,177,193,194,194,196,195,195,196,196,192,204,185,113,156,199,190,191,191,189,189,188,187,185,185,184,184,181,179,179,194,195,196,197,198,197,196,197,194,212,185,119,168,199,192,192,192,190,190,189,187,187,187,185,184,182,181,181,195,197,197,198,198,198,197,198,196,216,168,117,176,198,192,196,193,190,190,189,188,188,187,187,184,183,182,182,196,198,198,197,197,199,199,198,199,213,161,122,183,200,192,161,184,200,193,190,189,189,188,188,186,185,184,181,198,199,200,199,199,199,200,198,203,214,172,153,181,202,202,158,139,170,182,195,189,191,189,188,187,186,185,182,198,199,199,199,200,200,201,197,207,207,183,169,186,195,204,194,157,137,128,149,197,185,194,190,187,185,185,183,199,200,200,200,200,201,203,199,207,204,193,176,203,196,186,207,187,185,153,101,139,137,136,188,190,187,186,185,200,200,201,202,202,203,203,200,218,193,183,193,205,192,159,176,190,176,157,107,80,97,83,137,198,187,188,186,201,202,202,202,204,205,204,206,205,178,186,179,194,177,149,110,182,188,160,117,81,88,88,108,196,189,188,186,202,203,204,205,205,206,203,218,194,164,161,166,191,158,133,77,145,209,165,122,84,102,86,129,199,188,188,188,203,204,205,205,206,204,210,226,204,177,139,144,180,143,110,91,147,216,172,127,83,84,90,182,195,189,189,189,203,204,204,207,206,204,225,223,200,175,151,142,185,175,172,198,186,190,165,130,89,68,161,199,190,191,190,188,204,205,206,207,206,208,231,213,195,178,165,140,157,215,210,192,192,159,152,136,87,137,204,194,193,193,191,190,205,207,206,207,207,216,229,207,198,177,147,147,195,216,194,172,195,145,139,132,84,183,201,196,194,193,192,191,205,207,208,208,206,224,228,206,200,169,149,191,220,204,188,165,180,143,119,106,99,202,198,197,196,193,192,192,207,208,209,209,209,226,225,210,199,166,182,209,214,195,181,158,161,140,108,80,144,210,197,198,197,194,194,193,208,208,210,207,205,230,221,210,192,171,182,203,194,183,166,149,151,120,93,79,188,204,200,199,198,197,195,193,209,207,220,159,103,189,215,194,175,168,175,185,184,170,155,146,130,103,73,116,210,200,201,199,198,197,195,193,207,213,192,103,91,93,156,186,171,169,169,179,182,160,144,125,101,87,75,182,206,202,202,199,199,197,196,194,208,218,130,89,96,92,88,138,174,178,163,176,172,142,123,102,94,68,143,213,201,204,201,199,199,198,196,195,220,168,93,95,89,90,88,63,93,116,130,163,152,113,98,93,70,120,211,204,204,204,201,200,200,198,197,195,195,104,92,91,87,84,93,69,57,70,71,91,102,90,80,66,132,209,206,204,204,204,202,201,199,198,197,195,119,91,93,89,84,82,91,75,48,70,67,58,56,63,52,150,224,203,204,203,203,203,202,200,198,197,196,195,90,86,84,86,83,77,89,69,42,64,63,57,56,52,49,95,176,209,204,205,204,204,202,199,199,197,195,193,94,82,66,109,97,68,88,54,44,59,58,53,52,53,54,34,118,218,204,205,204,204,202,200,199,199,197,193
0,162,164,167,169,172,174,175,177,178,178,179,178,178,178,179,179,179,178,178,177,177,177,176,176,177,176,173,172,163,165,168,170,173,175,177,179,179,180,181,181,182,180,180,181,180,180,180,179,179,178,178,177,177,177,175,174,164,166,170,172,174,177,179,179,180,181,182,183,184,182,183,184,183,181,182,181,179,179,179,179,176,176,176,175,167,168,172,174,176,179,180,181,181,183,185,185,186,188,184,184,185,187,183,181,180,181,181,179,180,178,177,177,168,171,173,174,178,181,182,182,185,188,187,182,179,165,183,186,154,153,186,186,183,181,183,182,181,180,178,178,170,173,174,176,180,181,183,183,187,174,175,211,177,120,117,193,151,83,149,179,174,164,143,187,182,181,179,179,172,174,175,178,181,182,184,185,197,160,118,193,198,149,99,191,163,112,66,90,137,181,101,176,187,182,183,181,171,174,177,179,181,183,182,192,214,195,140,123,206,154,100,189,166,116,59,117,136,185,127,117,191,182,185,182,171,175,178,180,183,185,184,207,205,204,172,91,170,162,92,185,175,104,84,147,102,177,163,105,133,189,184,184,173,176,179,181,182,184,190,207,158,195,161,70,128,167,94,181,165,84,84,143,68,144,179,146,89,137,196,182,176,179,181,182,184,180,203,211,150,185,131,63,128,143,83,152,136,73,77,131,76,175,204,159,85,107,197,182,177,179,181,183,186,184,211,204,165,178,114,62,123,115,70,115,113,69,74,116,95,202,195,151,70,151,194,185,178,179,181,185,185,191,221,189,140,145,132,69,103,107,64,104,105,47,123,136,153,195,173,112,78,191,188,187,179,181,184,188,187,192,228,205,165,113,94,49,115,133,65,125,116,100,168,158,160,175,135,73,125,203,187,188,180,182,185,188,186,197,227,202,179,144,92,67,102,110,61,102,172,193,173,160,130,129,106,58,170,199,191,189,180,183,187,189,187,205,228,199,182,163,131,88,89,117,131,181,207,192,165,149,117,90,82,66,191,195,193,192,182,184,187,191,188,209,229,202,182,165,146,96,92,134,187,217,208,185,152,137,103,77,51,114,206,192,194,194,183,185,187,191,187,204,228,207,184,171,160,116,103,130,199,214,206,174,142,120,88,60,61,190,198,194,195,195,184,186,188,191,188,200,225,211,188,172,165,133,105,140,210,215,191,158,126,101,76,44,145,206,194,196,196,195,184,187,188,193,191,196,224,213,194,172,158,136,105,152,207,203,170,147,114,86,49,100,208,197,198,196,196,197,183,187,190,193,192,196,224,208,193,174,152,129,112,169,189,170,159,137,103,65,53,185,202,200,200,199,197,197,185,187,190,193,191,196,226,207,196,175,145,126,133,172,152,148,141,115,87,42,143,210,199,201,201,200,198,197,184,187,188,193,185,211,230,211,208,178,149,135,149,164,133,138,118,97,51,102,209,202,204,202,201,201,199,197,185,188,192,190,191,231,222,212,206,172,147,142,152,141,128,125,107,69,77,200,207,204,203,202,202,201,200,198,184,187,192,185,210,224,201,203,198,158,138,146,138,125,119,106,77,66,181,209,205,203,203,203,202,202,200,199,184,186,189,178,220,209,178,169,171,145,133,142,126,114,106,85,61,155,207,202,204,203,203,203,202,201,201,200,183,189,181,185,226,197,167,144,140,121,137,142,103,102,99,54,118,208,204,204,205,205,204,203,201,202,201,200,185,190,174,210,223,185,148,140,126,103,141,129,86,101,73,66,185,206,204,204,205,205,204,203,202,202,202,202
4,123,124,125,126,127,128,129,130,131,132,133,134,134,133,133,132,132,132,132,132,131,130,130,129,131,130,129,128,122,123,125,127,127,128,129,131,132,132,133,133,134,133,133,132,133,133,133,132,131,131,131,131,131,130,130,129,124,124,126,128,128,130,131,130,132,132,134,134,134,134,132,136,132,134,135,134,133,133,132,132,131,131,130,130,124,126,127,128,129,130,132,132,133,134,136,134,145,136,121,118,142,133,120,131,135,133,133,132,131,131,131,131,125,127,127,128,130,131,133,133,134,137,127,142,166,132,122,97,153,129,109,94,134,135,136,133,132,131,131,130,126,128,128,129,131,134,133,132,164,161,137,114,165,141,115,115,162,132,113,70,127,117,117,137,132,132,133,133,125,129,130,129,131,134,130,144,178,175,150,93,142,153,104,128,168,131,96,106,138,102,73,114,138,132,134,133,127,129,131,131,132,134,130,162,167,170,137,90,138,153,112,126,149,136,147,137,95,93,67,78,138,134,135,134,128,129,131,134,134,132,138,170,146,164,126,79,125,143,148,142,152,174,174,139,91,67,64,69,138,136,135,134,128,130,132,133,136,131,147,169,137,151,132,69,108,132,138,153,161,163,151,145,114,72,53,75,141,135,136,135,129,131,133,134,135,133,167,164,135,134,143,67,91,129,85,114,140,144,137,151,123,87,50,85,143,135,136,136,130,131,133,135,131,149,173,143,125,116,100,58,91,134,63,99,131,108,142,157,132,100,57,101,143,135,137,136,130,132,134,136,130,164,166,133,111,112,95,76,92,115,67,103,144,69,144,170,144,112,66,121,143,137,137,137,131,133,135,135,135,176,163,131,107,98,88,83,87,86,82,86,112,81,136,179,154,121,71,101,146,138,138,137,132,133,136,133,141,185,161,131,106,92,79,83,91,90,115,116,131,153,146,162,150,116,86,71,141,141,139,139,133,136,138,132,150,187,160,130,101,95,85,87,86,95,131,140,161,157,158,137,130,120,98,70,133,143,139,139,133,135,137,131,160,186,161,124,104,110,95,83,78,112,151,160,160,152,147,125,102,116,91,79,139,140,140,139,132,134,136,131,168,185,158,126,126,126,100,93,124,162,170,160,159,151,131,112,92,93,73,101,145,139,140,139,131,133,136,131,171,183,160,145,148,130,103,139,168,175,176,160,153,139,120,104,87,77,71,131,142,141,140,139,131,134,136,134,176,181,170,157,150,139,110,156,173,176,180,154,136,128,113,100,84,64,99,147,141,141,140,140,132,135,137,134,177,184,176,159,145,142,118,160,177,177,169,146,124,115,107,95,75,70,136,144,142,141,140,140,132,134,139,133,169,186,175,163,145,138,132,163,175,164,153,135,115,108,101,85,64,103,148,141,142,142,142,141,133,135,138,132,160,183,167,160,149,139,137,153,162,150,136,120,111,110,94,72,73,139,144,144,142,142,141,140,133,135,138,133,162,175,157,155,156,144,139,146,153,142,129,113,107,104,87,64,114,150,142,142,143,141,140,140,133,135,138,132,161,168,150,155,156,140,128,143,154,141,123,103,98,97,75,91,147,145,144,143,141,141,141,141,132,134,138,133,154,169,153,155,147,140,123,137,156,137,109,90,92,84,77,134,144,142,143,143,140,140,140,140,94,94,98,87,131,179,161,160,147,141,126,128,152,126,98,87,85,75,75,89,87,86,86,86,85,87,87,83,70,69,73,60,113,189,170,165,153,146,130,120,148,126,97,84,78,70,65,65,62,63,63,62,63,61,65,118
12,179,185,189,193,196,198,201,203,204,204,205,205,205,205,205,204,204,205,205,203,202,201,199,198,198,197,194,192,182,186,191,195,198,200,203,205,206,206,207,208,208,207,207,211,209,205,206,203,204,204,203,202,201,198,197,196,183,187,191,196,198,201,205,206,207,210,208,207,209,214,207,188,201,212,208,213,207,207,207,206,204,203,200,198,184,188,192,197,201,204,206,207,209,209,217,200,162,192,228,182,136,190,203,176,206,210,208,208,206,204,202,202,185,189,193,197,202,205,206,209,212,208,242,241,202,149,179,242,181,116,152,154,137,212,211,210,207,207,206,205,188,192,195,199,204,207,210,213,210,225,241,240,232,173,99,198,206,119,79,162,115,153,222,209,210,209,207,206,190,195,198,203,206,209,212,214,207,251,209,208,236,160,91,166,190,119,69,124,126,89,214,213,210,211,209,208,192,196,201,204,209,214,213,211,218,183,143,217,212,140,80,178,174,106,79,129,112,89,216,214,213,212,210,210,195,198,203,206,212,212,215,244,232,146,91,152,192,160,71,160,207,128,80,156,115,108,226,213,216,214,212,210,197,201,206,209,210,220,251,246,232,167,95,90,199,164,55,166,228,124,94,208,119,146,229,213,215,215,214,212,199,204,210,211,217,253,217,201,241,182,97,43,154,145,26,96,213,106,80,188,127,199,223,217,217,216,214,213,203,206,214,212,239,251,211,173,219,168,99,43,58,70,46,91,122,127,136,150,90,191,230,218,218,218,215,214,205,210,213,219,240,212,178,127,188,169,102,48,53,57,155,230,182,178,154,136,108,124,234,219,221,220,218,215,207,213,217,215,244,217,183,116,151,170,98,55,63,122,201,219,208,177,136,104,122,95,211,227,221,221,219,216,211,215,220,215,246,224,191,141,122,164,132,67,95,185,216,209,202,178,133,105,98,92,219,227,222,222,220,217,214,218,221,226,252,229,202,168,114,138,158,76,176,227,222,212,209,157,124,106,62,137,241,225,224,221,219,218,217,223,221,236,255,237,211,175,140,118,120,145,227,227,231,227,189,135,119,93,65,213,232,226,228,231,233,225,219,224,225,242,253,243,222,182,166,148,131,191,211,221,234,215,161,127,117,64,121,250,239,240,218,189,144,96,222,226,227,237,245,247,227,193,184,167,143,191,192,230,230,192,147,121,105,65,211,222,171,120,72,49,42,34,224,228,232,229,247,249,230,202,198,178,150,201,195,225,218,167,134,110,86,86,125,61,39,28,31,32,37,47,228,230,237,230,240,241,226,207,200,181,160,190,217,198,186,145,119,100,74,38,26,26,33,29,34,27,24,42,231,235,240,236,231,241,227,211,195,180,169,176,204,183,154,131,107,93,45,14,26,38,23,21,32,36,17,26,232,236,240,236,225,246,227,210,192,178,160,162,188,170,140,119,100,74,45,8,13,39,31,11,21,36,28,15,234,237,243,236,230,244,218,197,185,176,153,162,179,160,119,107,85,45,53,23,0,21,39,20,9,25,34,19,238,242,247,237,231,242,199,177,182,170,152,167,166,141,104,89,42,11,40,42,0,1,28,33,9,10,29,28,239,242,247,237,229,254,201,189,198,183,165,168,154,124,100,66,34,1,21,45,15,0,11,31,26,3,16,31,241,243,254,220,214,255,212,213,220,185,163,161,143,116,93,40,34,8,6,30,30,0,0,19,34,15,6,25,243,243,255,175,169,255,229,238,223,173,164,165,138,112,80,38,23,20,0,15,35,0,0,8,30,27,8,11
0,176,178,180,182,184,185,186,186,187,188,190,190,190,190,191,191,190,191,191,190,189,187,187,186,186,186,186,185,177,179,180,183,184,185,187,188,189,190,191,191,192,192,191,191,191,191,192,192,190,188,189,189,187,187,187,186,179,180,183,184,185,187,189,190,190,192,193,193,192,192,193,193,191,191,191,193,192,191,189,189,189,187,188,187,179,180,182,184,184,185,189,190,191,193,192,193,193,196,194,194,194,195,191,193,193,192,190,190,188,187,190,189,179,182,183,185,185,188,191,191,193,198,195,192,186,177,193,192,176,177,194,191,192,191,193,190,190,189,190,190,180,182,184,185,187,190,191,191,190,168,180,210,177,133,136,196,161,110,157,209,194,176,157,198,191,192,191,192,181,183,185,186,187,191,189,196,197,162,124,195,196,149,103,196,168,118,101,157,166,188,121,177,200,190,193,192,183,184,186,187,189,191,188,212,211,193,131,127,203,142,109,200,165,124,74,117,140,192,162,128,179,198,191,193,184,185,187,188,192,190,200,203,199,199,141,89,185,149,118,204,169,105,104,157,116,184,185,158,128,167,198,192,185,186,188,190,192,189,213,184,178,189,116,94,182,137,124,195,152,83,121,162,88,166,209,180,133,94,197,194,185,188,190,191,190,190,218,191,179,169,92,111,176,116,116,172,136,77,120,157,98,199,217,175,117,91,196,194,186,188,190,193,190,206,211,179,173,164,104,114,156,103,99,151,124,65,124,143,138,204,187,155,81,138,207,193,187,190,191,193,190,221,213,171,133,144,105,99,156,105,87,157,104,87,163,153,168,172,148,116,78,189,200,197,187,190,191,194,192,221,212,186,154,107,60,107,183,112,93,177,161,178,167,154,131,146,124,76,122,208,196,199,188,191,192,193,196,223,202,185,171,146,97,94,127,92,100,201,198,177,157,146,109,109,110,64,165,207,197,197,188,190,192,192,203,227,204,185,172,162,125,88,105,134,195,209,194,169,149,135,101,91,87,72,196,202,198,198,189,190,193,191,207,228,209,188,174,170,140,110,116,176,215,205,186,158,138,119,89,86,58,133,211,199,198,200,191,191,194,191,207,227,213,192,176,171,149,116,121,191,217,198,179,151,127,101,83,64,87,204,200,200,199,199,191,192,193,194,201,226,215,197,181,167,149,116,151,197,205,188,175,142,113,88,74,60,176,208,201,202,200,199,189,192,195,195,201,226,213,200,186,164,145,133,179,193,180,180,164,130,95,80,51,144,214,202,203,203,203,203,191,192,197,193,203,227,216,211,186,163,154,161,190,168,163,165,147,113,87,55,107,213,204,205,205,204,204,204,192,193,196,189,217,226,218,218,191,171,160,170,181,150,159,149,126,97,67,74,203,208,206,206,205,204,204,204,193,194,192,195,225,213,215,211,178,167,166,167,152,149,150,135,112,79,65,179,212,205,205,206,205,204,203,203,191,193,188,206,205,188,201,194,164,164,165,153,145,142,127,117,87,60,161,212,203,207,205,205,204,203,203,203,191,189,187,213,190,167,168,166,156,155,156,142,132,129,112,92,65,143,207,205,207,207,205,205,204,203,203,203,195,178,200,210,172,160,152,144,142,165,155,116,123,123,94,59,141,208,204,208,208,207,207,206,205,204,204,205,186,178,220,201,156,142,148,127,135,166,134,103,124,109,64,116,206,207,206,208,207,207,207,206,206,205,205,205,172,203,217,197,153,129,136,118,138,151,119,105,114,78,77,191,206,207,209,208,207,207,207,206,207,206,207,205
6,250,250,251,249,250,251,250,250,250,249,248,248,245,244,243,240,239,237,237,235,234,233,230,227,227,225,221,218,252,253,252,252,253,254,252,252,253,252,252,251,249,247,246,244,243,241,240,238,237,235,234,232,229,227,225,222,253,254,255,254,254,255,255,254,255,255,253,252,251,251,249,246,246,244,243,241,238,237,236,234,232,228,225,224,255,255,255,255,255,255,255,255,255,255,255,255,253,251,251,250,247,248,245,244,243,243,242,240,236,233,229,227,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,251,246,239,235,232,224,218,219,218,229,232,255,255,255,255,255,255,255,255,255,255,255,255,254,248,237,228,218,200,180,184,192,193,175,183,244,223,201,236,255,255,255,255,255,255,255,255,247,220,207,197,199,196,191,181,181,176,158,184,182,170,173,173,210,184,186,239,255,255,255,255,255,255,255,234,206,181,178,186,190,200,200,195,175,160,147,138,129,136,141,133,149,184,228,237,255,255,255,255,255,245,223,218,208,176,150,159,168,160,142,138,117,111,130,161,185,208,220,234,246,248,242,238,255,255,255,255,230,211,216,212,195,168,122,107,83,121,197,205,215,223,247,255,255,255,255,252,247,244,242,242,255,255,255,225,206,213,216,212,209,200,161,100,64,109,201,241,255,255,255,255,254,252,251,251,249,247,245,243,255,255,230,212,219,225,224,224,227,208,139,85,83,76,69,78,111,243,255,255,255,255,254,253,251,249,247,244,249,219,219,230,228,229,226,213,220,166,88,73,78,84,88,86,56,149,255,255,255,255,255,254,252,250,248,245,213,219,232,230,226,227,208,201,209,163,121,82,55,71,81,88,80,65,239,255,255,255,255,255,253,250,249,245,221,226,231,233,230,213,202,210,211,214,191,120,67,66,65,65,79,153,255,255,255,255,255,255,254,251,250,248,223,226,233,233,223,204,203,207,203,211,178,104,75,76,80,58,192,255,255,255,255,255,255,255,255,253,251,249,223,231,233,219,206,200,199,194,190,185,142,79,65,71,81,47,189,255,255,255,255,255,255,255,255,254,252,250,225,223,208,206,207,201,200,186,170,171,158,105,54,64,59,134,255,255,255,255,255,255,255,255,253,250,247,247,211,197,194,203,196,185,173,164,169,189,195,132,74,83,56,203,255,255,255,255,255,255,255,254,255,255,255,250,197,196,197,186,168,162,162,171,181,193,180,113,75,71,49,208,255,255,255,255,255,255,255,255,246,220,175,131,196,194,181,169,163,164,164,158,153,149,110,66,78,89,184,255,255,255,255,255,255,255,255,201,115,80,70,66,180,165,150,160,163,160,140,116,98,83,78,161,236,255,255,255,255,225,207,149,132,133,119,79,73,77,58,65,135,105,97,123,134,126,104,87,91,143,211,255,255,255,255,255,161,100,88,47,58,57,51,62,55,68,56,40,83,63,81,109,112,108,102,108,128,152,155,144,147,154,152,124,89,81,79,59,42,63,47,54,45,50,50,32,67,86,147,143,143,145,144,141,140,135,134,133,115,100,81,71,69,66,52,67,31,52,43,41,44,46,38,34,62,123,162,149,150,157,152,145,152,151,153,135,84,63,72,65,55,57,52,59,36,35,41,37,41,45,31,38,70,135,146,143,145,147,143,141,143,138,115,76,67,46,57,63,49,48,46,49,42,23,37,35,40,43,26,39,82,143,142,144,149,146,142,144,134,107,88,49,58,49,42,60,43,43,38,41,44,21,33,35,38,40,28,39
4,88,93,99,100,103,107,109,111,114,115,117,120,121,123,125,126,126,126,128,131,131,131,133,133,134,134,134,135,89,94,99,102,104,106,110,112,114,116,116,119,122,125,124,124,128,130,130,129,133,132,134,134,135,134,135,135,90,95,99,102,106,108,110,113,114,117,118,121,119,125,128,128,125,119,129,133,131,136,135,135,136,136,135,135,91,96,100,103,107,110,112,114,116,117,115,126,135,119,112,147,128,84,68,114,100,94,136,137,136,137,137,138,91,97,100,104,107,110,114,113,116,133,113,104,127,125,75,115,121,80,39,70,95,56,91,145,136,138,138,138,91,97,100,104,108,112,115,110,134,157,136,108,76,84,69,90,118,70,34,96,96,59,51,143,140,140,140,140,92,98,102,104,108,112,113,114,154,128,138,101,69,43,49,101,133,65,76,114,77,39,38,137,141,139,141,141,94,98,102,105,108,113,109,126,144,101,133,77,48,47,44,76,109,105,124,103,82,29,50,143,140,141,142,142,94,99,103,106,110,114,108,140,140,110,124,78,43,61,75,78,106,122,104,110,104,72,70,151,140,143,144,144,92,99,104,107,110,114,112,152,132,116,109,91,29,80,131,110,109,103,88,129,116,104,81,133,145,142,145,146,94,100,105,108,111,112,122,149,110,89,79,61,22,42,100,92,91,62,70,137,130,124,94,78,144,146,146,146,93,99,105,108,113,108,138,149,112,91,74,50,31,24,34,48,49,59,97,119,132,126,110,71,93,153,145,147,94,100,105,109,114,111,157,143,116,102,81,61,43,34,35,43,84,139,134,121,117,102,101,91,56,130,151,147,95,102,105,110,111,119,166,142,127,106,77,61,49,42,79,126,150,149,130,117,104,82,82,85,55,117,155,147,97,102,106,111,108,136,172,145,126,99,80,76,53,80,138,151,149,147,128,110,94,73,65,67,63,142,150,148,97,102,108,112,109,149,173,145,119,100,96,83,75,126,140,142,147,138,121,101,84,67,61,50,108,156,147,149,97,102,106,112,107,155,170,139,123,119,110,91,111,133,139,142,138,128,110,91,77,64,51,69,148,147,151,151,98,103,107,114,109,159,170,146,135,128,112,105,128,135,143,138,123,114,97,82,71,59,47,126,155,147,152,153,99,103,108,112,109,152,170,153,143,128,112,102,122,134,133,127,112,102,88,73,66,46,85,157,149,150,153,153,99,104,109,113,109,142,168,151,142,128,108,94,113,123,122,115,101,93,79,66,54,55,141,154,150,150,152,152,100,105,109,114,113,132,163,142,127,118,102,101,112,122,120,110,92,82,70,58,45,122,155,151,153,153,153,153,101,105,110,115,114,129,155,127,121,114,107,113,107,113,113,102,87,75,64,42,98,156,151,152,152,154,154,154,101,105,109,116,113,127,151,125,129,121,128,125,103,101,107,93,76,70,48,71,151,149,152,153,153,154,154,154,102,106,110,115,115,136,151,138,131,128,124,116,98,88,98,86,70,62,46,132,152,151,154,154,154,155,154,155,102,106,111,111,140,155,131,126,137,131,116,104,92,80,87,77,69,44,82,156,149,152,153,153,154,155,155,155,102,107,107,124,159,148,151,95,102,133,108,96,88,73,74,71,66,36,99,158,149,152,154,154,154,155,155,156,103,108,110,152,150,147,152,149,81,84,98,93,80,60,69,64,61,37,105,159,149,152,154,155,155,156,156,157,105,102,135,158,142,150,150,149,150,73,63,85,71,58,65,59,57,35,110,158,151,153,153,155,156,157,157,157
12,140,144,147,151,153,156,158,160,163,164,165,164,166,168,167,165,164,168,170,163,165,163,163,164,163,162,161,159,141,145,148,151,153,157,160,162,163,164,166,167,166,159,157,171,168,141,143,171,166,167,167,164,164,164,163,162,142,145,149,152,155,158,161,164,164,166,169,166,179,164,130,142,181,160,111,132,157,128,149,170,165,165,164,163,143,147,150,154,157,159,162,164,166,168,168,168,198,195,170,120,127,192,158,91,104,132,97,160,170,167,166,164,145,148,151,155,158,162,163,165,167,169,165,189,182,185,183,136,77,150,161,100,61,120,100,101,175,167,167,167,147,150,153,156,159,163,164,167,170,169,166,199,152,170,183,124,74,137,147,97,62,96,104,66,165,170,168,168,149,151,155,158,162,164,167,170,169,172,175,132,109,173,162,110,66,144,139,87,67,105,91,71,170,169,170,168,150,154,157,160,163,166,170,168,178,198,178,111,73,120,153,129,56,131,169,105,69,130,97,87,179,168,169,169,152,156,159,162,164,168,167,183,198,190,180,130,74,78,163,125,45,137,180,97,77,166,99,119,182,170,171,170,154,157,161,164,169,168,181,198,158,160,190,136,74,38,121,109,22,75,165,86,66,142,99,161,178,173,173,172,156,160,163,166,170,170,195,190,160,139,173,126,78,36,50,53,49,78,91,105,111,119,72,147,183,173,174,174,158,162,165,169,170,179,186,159,134,101,155,127,81,41,49,54,136,181,144,141,122,111,90,98,185,174,175,174,159,164,167,171,172,175,193,166,142,88,131,127,79,46,59,106,162,174,163,138,111,84,100,79,169,180,175,175,161,166,169,172,173,177,195,171,146,105,107,130,103,53,86,150,172,167,160,141,110,84,80,78,176,180,177,177,164,168,171,175,175,187,199,178,156,128,89,120,120,65,150,179,176,169,166,126,103,83,53,116,191,177,176,175,167,171,174,177,177,194,200,185,164,135,107,99,97,125,184,182,182,180,154,109,97,73,59,172,183,183,186,185,169,173,176,179,178,196,197,188,170,142,131,114,111,157,170,178,187,175,134,101,93,52,109,203,186,170,139,108,171,175,178,180,181,191,193,193,175,151,145,127,121,151,156,181,185,160,119,95,83,53,145,132,88,55,38,35,175,179,180,182,184,184,196,194,178,160,155,137,124,159,153,184,177,140,106,86,72,51,49,31,28,30,32,30,177,181,182,185,188,182,194,189,176,164,160,144,127,158,169,164,156,121,93,79,63,32,28,29,30,28,32,24,179,183,186,187,191,185,188,190,177,165,155,146,136,147,166,146,129,106,85,76,40,16,34,31,19,22,34,29,180,183,186,188,192,184,183,194,178,163,152,141,128,134,153,137,116,97,79,66,29,8,24,38,22,13,26,34,181,184,186,189,194,183,186,192,170,156,150,139,123,132,144,128,99,89,73,45,41,11,10,30,35,15,16,29,183,186,189,192,196,184,188,187,154,144,146,132,120,135,133,116,85,78,36,23,42,26,0,16,32,27,10,18,184,188,190,193,198,182,189,194,154,152,154,141,130,137,120,102,81,58,18,11,32,38,2,3,22,32,20,9,185,189,192,193,201,164,184,196,162,169,166,145,129,132,112,96,74,38,27,6,19,36,16,0,10,28,29,11,191,193,197,196,212,113,164,202,179,190,171,138,131,130,107,91,64,29,25,12,5,28,25,0,0,21,30,21,163,167,172,175,188,80,99,195,179,185,157,127,135,129,102,88,51,35,22,14,0,22,28,1,0,13,28,27
1,142,144,145,145,146,146,146,147,147,146,146,146,147,145,145,147,134,115,139,137,138,136,133,131,131,129,126,124,148,148,149,150,151,150,151,151,152,150,150,151,150,151,138,135,146,60,133,151,139,140,137,135,134,132,130,127,152,154,154,154,156,155,156,157,155,155,154,156,153,162,143,74,144,56,69,107,146,142,141,139,139,137,133,131,158,158,159,159,160,160,159,160,159,159,160,159,156,170,132,66,143,42,22,47,125,152,144,141,141,140,138,134,161,161,162,162,164,164,163,164,163,164,164,167,165,175,104,72,140,23,61,67,97,162,146,146,145,143,140,138,166,166,167,166,166,167,167,167,165,165,169,141,144,178,79,90,146,31,89,73,78,165,149,150,149,147,144,141,171,170,172,172,172,173,172,171,169,169,173,127,83,180,77,114,132,26,100,77,76,169,154,155,151,148,147,144,174,175,174,176,176,175,176,175,175,173,178,111,79,164,64,133,100,28,126,90,78,173,158,159,155,152,151,148,177,178,178,179,177,176,177,176,176,176,180,80,100,135,63,149,96,61,155,78,77,175,160,161,158,156,153,151,181,181,181,181,181,180,180,180,180,181,179,70,110,138,75,156,103,70,154,66,81,179,163,163,161,158,157,155,182,183,183,183,183,185,184,183,182,185,167,54,115,150,64,151,98,49,149,84,96,182,165,165,164,162,159,157,186,184,185,186,186,186,185,186,183,190,156,43,128,131,35,134,64,49,161,80,98,185,168,168,168,166,162,159,188,188,188,188,188,190,189,189,188,192,162,49,119,113,49,141,60,67,154,69,96,188,171,173,171,169,166,162,190,191,191,191,191,191,191,190,189,193,139,55,130,120,120,145,112,72,101,71,102,189,174,176,173,170,167,166,191,192,192,192,192,192,192,192,192,186,138,135,118,90,106,110,116,96,74,63,67,184,176,176,175,172,169,168,193,194,194,194,193,194,194,194,193,186,162,121,81,71,86,112,117,89,74,82,43,159,186,177,177,175,172,169,194,195,195,195,195,195,197,196,197,189,143,84,66,70,90,133,122,103,142,130,49,122,197,180,180,177,175,172,197,196,197,198,197,198,199,200,193,183,134,73,71,85,103,140,152,150,123,146,86,86,197,181,181,178,176,174,198,199,200,199,200,200,199,201,187,178,146,79,56,89,123,152,166,180,110,143,116,53,182,186,182,180,178,175,200,200,200,201,201,201,200,204,183,177,159,95,48,90,131,154,162,167,144,121,75,31,179,188,184,183,181,177,202,202,201,202,203,203,202,207,179,175,165,112,66,70,131,170,170,164,126,109,37,59,200,186,185,184,183,180,201,202,202,203,203,205,203,209,180,158,155,115,78,67,145,186,179,162,114,77,20,134,203,187,187,185,185,183,201,202,202,203,204,205,203,208,190,150,142,118,88,81,156,177,156,134,93,46,36,194,193,190,190,186,185,184,200,202,202,202,203,203,204,207,199,158,146,125,99,94,156,165,144,108,73,16,96,210,190,192,190,187,184,183,200,202,203,203,203,205,204,205,207,164,145,140,111,93,142,145,125,84,40,12,175,198,192,191,188,185,183,180,201,203,204,203,204,205,204,206,210,173,150,139,112,92,118,109,80,46,0,109,208,191,193,192,189,184,180,180,201,202,203,205,205,205,205,207,202,172,157,139,115,97,99,86,46,0,98,210,196,196,194,193,191,189,193,180,201,202,202,204,204,205,206,210,185,163,167,145,136,113,85,66,8,47,214,199,199,197,195,192,191,173,133,65
20,126,128,132,135,138,140,142,145,145,147,148,149,149,150,152,152,153,150,153,151,151,150,150,150,150,149,148,147,127,130,134,137,140,141,143,146,147,149,150,150,151,152,153,152,178,128,137,151,152,153,152,151,151,151,150,150,129,132,135,139,142,144,145,148,149,150,151,152,154,155,155,154,189,120,136,141,130,159,153,154,154,153,151,151,130,134,136,140,144,144,147,149,150,151,153,154,155,156,155,157,186,125,154,153,108,161,156,157,156,155,155,153,131,135,137,141,145,146,149,151,152,153,155,156,157,158,156,159,193,139,152,169,106,157,159,158,157,157,156,155,133,136,139,142,146,147,150,153,154,155,157,158,159,161,157,164,196,139,156,183,113,153,162,161,160,159,158,157,134,138,141,144,147,149,152,154,156,157,158,158,159,159,158,172,188,134,167,179,113,150,165,162,162,161,159,158,136,140,143,146,149,151,153,155,157,158,161,162,162,173,161,173,190,133,173,175,108,150,167,163,163,162,161,160,137,141,144,148,150,152,155,156,159,160,161,156,178,206,183,129,149,132,173,173,110,155,167,165,164,164,162,161,138,143,146,150,152,154,156,157,160,161,166,184,179,165,173,133,94,102,154,156,112,160,169,167,165,165,164,163,140,144,147,150,153,156,159,160,162,159,184,203,190,140,154,159,150,122,112,130,108,163,170,168,167,166,166,165,142,145,148,151,154,158,160,161,163,162,189,156,150,177,121,161,183,150,95,99,103,167,169,169,168,167,167,167,143,146,149,153,156,159,161,162,164,162,190,146,92,105,79,105,176,162,114,88,95,166,171,171,170,169,169,168,144,148,151,154,157,160,162,164,166,166,187,152,138,108,91,83,147,192,143,92,90,168,173,172,171,170,170,169,145,149,152,155,159,161,163,165,167,169,198,183,142,112,105,108,126,203,169,110,82,165,175,173,173,172,171,171,146,149,152,156,159,161,165,167,167,171,200,170,126,110,114,126,148,206,185,131,85,158,178,174,174,172,172,172,148,151,154,158,161,163,166,168,167,171,200,174,138,126,129,136,180,206,182,143,92,157,179,174,175,174,174,174,149,152,154,159,162,164,167,169,170,172,204,185,151,133,142,157,204,204,172,141,94,156,182,177,176,175,175,174,150,153,156,160,163,166,167,171,172,174,203,193,164,138,152,176,206,201,169,135,97,156,185,178,177,176,176,176,149,153,156,159,162,165,167,170,172,172,201,198,167,151,154,191,205,188,165,131,93,153,185,177,177,177,177,177,150,154,157,160,162,165,168,170,172,171,198,201,172,169,158,194,203,178,158,126,87,151,186,178,178,176,176,176,151,155,158,161,163,167,169,171,173,171,191,203,181,181,169,182,193,168,151,124,81,152,187,179,179,178,176,176,150,155,157,160,164,167,169,171,174,174,182,203,188,185,174,162,177,151,145,115,79,158,186,180,180,180,179,178,151,155,159,162,165,167,169,172,174,175,178,202,196,180,158,145,157,141,144,111,84,175,184,181,181,179,182,181,152,156,160,163,165,167,169,172,177,185,178,201,189,164,134,126,147,140,138,93,107,189,181,183,182,187,172,119,149,154,158,163,166,170,172,179,164,90,71,193,178,148,126,120,155,136,125,74,145,200,187,188,190,171,105,83,114,116,118,120,122,126,126,132,123,66,20,154,189,156,125,132,169,117,98,58,50,136,160,158,155,100,74,75,87,85,88,91,92,90,89,91,103,108,74,98,165,147,129,145,161,96,78,38,27,70,92,97,104,85,65,57
22,146,148,149,150,150,150,150,152,151,151,152,152,151,151,152,151,151,151,152,151,149,150,148,150,132,55,18,18,148,149,151,151,151,153,154,153,153,154,155,155,154,154,154,154,154,154,154,154,151,151,150,152,136,45,25,32,150,151,152,153,154,155,155,155,156,156,157,156,157,156,156,156,157,157,156,155,155,154,153,151,156,83,26,43,151,153,155,155,155,156,157,158,158,158,159,159,156,158,160,158,158,159,157,159,157,156,155,153,157,117,32,36,153,155,156,157,157,159,160,160,160,160,160,160,166,141,147,164,160,163,152,133,162,158,158,156,156,156,51,26,155,157,158,158,160,161,161,161,162,162,162,159,178,133,122,171,161,168,157,96,160,160,160,158,156,138,69,7,156,158,160,161,161,162,162,163,164,163,163,162,178,132,114,173,162,166,146,93,158,162,162,159,169,104,88,63,157,159,161,162,162,162,164,164,164,165,166,163,183,148,107,171,165,166,150,97,155,165,162,166,161,93,118,126,159,161,163,164,165,163,165,166,167,167,167,163,185,170,105,168,167,168,156,105,157,167,162,172,145,99,120,147,160,162,163,166,167,166,167,167,168,168,168,165,179,188,108,163,170,166,150,109,162,169,165,183,138,104,152,146,161,162,164,164,165,167,168,167,168,168,169,167,175,199,111,146,175,164,150,106,160,170,170,182,122,117,172,123,162,163,165,166,167,168,168,167,168,169,169,168,174,203,143,118,176,167,161,112,158,170,178,169,100,131,175,137,163,164,166,167,168,169,169,169,170,171,171,171,171,197,167,103,164,163,159,114,160,174,181,156,91,150,172,160,164,165,167,168,169,169,170,171,172,171,171,174,169,187,161,121,127,120,155,130,168,182,178,133,101,170,167,166,164,166,167,168,168,169,169,171,172,172,173,173,175,196,170,151,146,75,115,145,159,158,159,108,129,177,167,167,163,163,164,167,168,168,169,170,170,171,173,170,187,180,187,150,158,123,94,99,119,123,120,92,163,172,168,168,163,164,166,168,168,169,170,170,169,171,172,172,187,148,171,148,127,162,147,93,76,106,92,97,176,168,168,167,163,165,167,168,169,169,171,170,171,173,172,181,191,165,153,149,79,138,157,133,86,75,76,106,177,167,167,167,162,164,167,167,167,169,170,170,172,174,171,186,185,148,118,148,80,66,139,155,133,81,59,120,179,168,168,167,168,170,172,172,171,172,173,173,174,177,171,184,187,144,119,123,98,52,111,176,166,128,64,137,178,168,168,167,140,143,146,150,152,156,159,162,164,168,167,177,196,154,124,98,110,120,162,166,178,153,99,108,183,177,176,174,76,77,78,81,81,82,85,85,88,93,85,144,202,177,122,105,132,175,189,176,171,150,118,87,133,131,131,139,80,81,81,82,80,80,80,80,80,83,70,135,205,193,123,112,128,181,191,184,164,138,100,72,76,97,125,151,82,80,80,81,83,83,83,83,84,85,78,134,198,195,126,126,124,183,195,183,159,134,81,109,171,175,182,187,80,80,79,79,81,81,82,83,84,86,78,115,196,193,139,143,119,177,200,172,151,122,73,135,181,169,169,179,79,80,80,79,80,81,81,83,83,84,80,92,185,191,155,143,123,164,190,154,134,102,73,129,150,165,167,169,78,79,80,80,81,80,80,83,83,82,83,79,164,189,161,135,118,142,175,137,109,82,78,149,117,128,152,166,78,79,80,80,84,81,80,82,83,83,84,77,156,176,144,123,106,109,151,121,93,71,93,165,113,113,144,163
23,161,161,162,162,164,164,164,164,164,165,166,166,165,165,165,165,165,165,164,165,164,163,162,162,162,161,158,157,164,165,165,167,167,167,168,169,169,169,170,169,168,168,168,167,168,169,168,168,167,166,165,164,164,163,162,159,168,169,170,172,171,172,173,173,174,174,172,172,172,171,170,175,175,172,172,170,171,170,168,168,167,165,165,163,173,172,173,176,175,175,177,177,177,176,183,174,176,180,176,146,167,182,174,174,175,173,171,171,170,169,168,167,177,177,177,179,178,178,180,182,178,184,215,189,178,196,181,147,114,164,185,178,177,176,175,174,173,172,171,170,180,180,180,182,182,181,183,185,180,204,204,172,110,128,119,144,145,127,150,184,180,179,179,178,177,176,175,173,183,183,184,185,185,186,186,187,188,213,194,158,94,161,170,153,125,106,117,188,183,182,183,182,180,179,178,177,185,186,187,187,188,189,189,187,200,199,198,138,151,199,155,185,180,167,183,191,186,186,185,185,184,183,182,181,188,190,189,191,192,192,194,192,202,194,199,204,210,187,108,149,211,194,193,192,191,190,187,187,187,186,185,184,191,193,193,193,194,187,176,181,185,194,197,195,189,179,109,94,176,197,193,194,193,192,191,191,188,187,186,186,194,195,195,197,193,171,145,155,165,168,164,163,158,144,108,50,64,171,204,195,195,194,193,194,193,191,189,188,195,197,196,195,199,190,187,175,181,173,160,154,135,82,74,52,42,148,211,197,199,197,196,196,195,194,193,192,197,198,200,196,195,200,199,189,167,120,116,123,119,69,71,51,57,188,205,199,201,201,199,199,197,196,194,194,200,201,202,199,184,186,205,188,119,91,47,97,133,70,72,51,97,214,203,204,204,202,201,201,200,199,197,195,202,202,205,204,184,179,210,184,104,55,37,125,138,76,68,35,116,220,204,206,205,204,203,203,202,201,199,196,203,204,206,206,185,177,213,191,129,61,61,113,84,67,53,39,97,217,206,207,207,207,206,205,205,203,202,201,206,206,208,208,182,179,222,195,129,84,39,33,30,39,46,54,90,215,209,208,208,208,207,207,206,205,203,203,207,207,209,206,175,194,226,194,133,99,51,27,44,50,59,60,111,221,210,209,210,209,209,207,207,207,206,205,208,210,212,206,177,196,216,195,142,104,80,59,75,75,75,64,125,226,210,212,211,210,209,208,209,208,208,207,210,214,214,213,181,186,199,179,131,105,94,68,81,81,80,64,150,227,212,214,213,212,212,210,210,209,208,207,213,214,216,216,185,178,182,164,137,132,101,73,81,81,80,71,192,225,215,215,216,215,214,214,212,210,209,208,214,214,216,219,191,182,181,163,144,132,97,77,82,89,71,110,227,218,218,216,217,217,216,215,214,213,211,209,214,216,217,219,197,196,180,161,134,112,89,81,84,86,78,196,228,219,220,218,218,217,216,215,215,214,213,211,216,216,218,216,202,209,186,166,146,113,86,78,80,80,184,232,222,221,221,221,221,219,217,216,216,215,214,213,216,216,221,214,203,209,184,171,153,106,77,77,65,158,239,222,224,222,223,222,222,221,220,218,218,216,215,214,216,219,223,216,202,188,172,158,132,83,70,72,82,217,226,225,225,223,223,223,222,222,221,220,220,217,216,215,219,220,222,212,202,173,159,154,144,80,75,69,117,233,224,227,225,224,225,225,224,223,223,222,220,220,218,217,218,220,220,210,213,177,156,170,172,87,79,69,134,241,225,227,226,226,226,225,224,224,223,222,221,222,218,209
17,129,132,134,136,138,138,140,141,142,142,143,144,145,147,148,149,149,150,150,150,151,152,152,152,153,154,153,154,131,132,135,137,138,138,140,141,143,143,145,146,147,147,150,150,152,153,152,152,153,153,153,153,154,154,155,154,130,132,135,137,139,139,140,142,144,145,146,147,147,149,150,151,153,153,156,156,154,158,154,154,155,155,156,155,130,132,135,139,140,141,141,143,145,146,146,149,151,151,151,153,154,147,124,141,114,132,161,155,157,156,156,156,132,134,136,139,141,142,144,145,147,148,149,150,151,153,153,155,157,158,119,85,81,103,165,156,157,157,157,157,133,135,138,139,141,144,145,146,148,149,151,151,152,153,155,155,154,175,139,85,57,115,165,156,159,159,158,157,134,136,138,141,142,144,146,146,148,149,150,151,152,153,155,156,154,174,148,104,51,125,167,158,159,159,158,158,134,137,138,141,143,145,147,147,148,149,152,153,155,158,155,158,154,175,162,119,67,146,164,159,160,159,158,158,135,138,139,142,143,145,147,149,150,150,151,155,143,135,162,158,155,179,161,121,86,159,162,161,160,161,161,159,137,139,140,142,144,147,148,150,152,152,152,157,147,105,120,163,163,182,155,119,89,160,163,161,161,162,162,160,136,139,141,143,144,146,149,149,149,149,149,166,152,130,105,126,148,174,157,119,87,159,164,163,163,162,163,161,138,141,141,143,146,147,147,154,163,135,105,142,167,162,163,125,79,120,146,122,89,157,165,164,164,164,162,162,138,139,142,146,147,149,146,165,172,135,96,139,147,170,173,150,97,75,119,112,84,152,167,163,164,164,162,163,138,141,144,146,148,148,151,164,139,155,127,125,109,110,179,167,127,73,87,97,77,150,169,165,165,163,163,164,139,141,143,146,148,148,152,173,125,114,112,74,66,55,171,181,148,87,69,80,70,147,169,165,166,164,165,164,139,142,144,146,149,148,160,160,120,101,110,84,80,77,151,196,159,109,68,79,67,139,171,164,166,166,166,165,139,142,145,148,150,147,164,166,146,130,121,98,109,111,132,203,160,124,77,75,70,131,173,165,166,167,167,166,139,142,145,148,151,148,174,159,129,122,116,106,127,133,163,181,160,134,86,69,63,132,174,166,167,167,167,166,140,142,144,148,151,154,175,143,123,115,112,123,124,171,199,162,146,131,86,64,55,131,175,166,169,167,166,167,141,142,146,149,150,158,180,147,132,118,116,125,145,198,188,165,138,121,84,61,56,140,173,166,168,167,167,167,140,144,148,151,148,163,184,152,138,118,119,128,176,194,176,160,131,115,80,63,61,158,169,166,168,168,167,167,141,145,148,151,147,168,185,155,146,127,118,147,194,188,173,153,120,110,78,57,85,174,166,167,168,169,168,166,142,145,150,152,146,175,187,158,152,143,121,157,196,178,169,155,116,98,77,51,124,176,167,169,168,167,167,166,143,147,150,153,147,176,193,162,160,156,133,156,189,168,162,151,118,88,70,64,161,171,168,169,168,168,168,167,144,147,149,152,148,169,195,169,164,158,145,146,180,164,162,143,115,86,59,100,179,166,169,168,168,168,168,168,142,146,149,152,150,161,193,176,162,152,151,146,167,159,162,150,110,84,56,119,179,166,168,168,168,169,169,168,143,147,148,151,154,156,188,172,159,147,146,151,160,150,163,153,110,82,59,140,177,168,169,169,169,169,169,169,144,146,149,151,153,157,187,165,159,147,143,148,158,146,161,144,105,79,75,166,172,169,169,170,170,169,169,169
0,205,206,207,206,207,209,209,209,210,210,209,208,208,209,209,209,208,208,209,209,208,208,210,210,207,208,208,207,206,207,208,208,208,210,211,210,211,210,209,210,211,211,208,210,212,215,210,212,211,210,211,210,209,210,210,209,208,209,210,210,210,210,211,211,211,211,211,210,210,212,223,203,167,185,217,202,208,216,212,213,211,210,212,212,209,209,210,210,212,211,210,212,212,211,214,212,180,176,230,196,164,138,145,160,152,195,203,163,206,215,213,212,210,210,211,212,214,212,212,213,214,215,239,222,182,143,194,205,182,160,93,150,149,131,188,127,191,221,212,213,211,212,213,213,213,214,212,219,196,185,244,219,193,158,188,225,185,166,111,171,163,127,161,134,182,222,214,215,211,212,214,214,214,214,217,245,195,149,203,234,199,167,175,243,199,170,117,186,165,118,134,140,154,230,213,216,211,212,214,214,216,211,231,239,205,174,176,246,206,167,160,244,202,167,115,188,161,105,120,153,105,215,216,217,212,214,214,215,211,229,225,224,217,189,150,229,214,163,140,240,200,154,94,154,149,97,107,165,90,161,229,215,213,215,215,214,216,233,195,218,227,196,138,203,220,161,118,210,188,139,85,125,133,90,109,170,101,132,230,216,215,215,218,213,227,224,181,197,224,194,134,172,212,154,100,168,175,134,90,108,121,81,129,180,114,136,231,219,214,216,217,215,227,218,188,181,204,176,125,140,192,146,91,132,169,130,88,111,123,93,175,193,124,139,232,220,212,214,214,220,229,206,177,148,187,167,122,116,182,144,81,107,171,125,82,135,127,123,205,189,124,148,231,218,213,214,214,215,241,223,188,137,156,170,111,104,176,150,80,102,179,127,150,200,162,132,193,195,122,161,231,219,214,216,214,218,240,226,192,152,113,149,133,99,180,164,92,112,179,182,199,192,175,143,142,180,115,165,230,218,215,216,214,222,245,230,204,173,134,122,146,119,178,176,158,198,207,203,191,178,158,147,124,128,100,162,232,218,216,216,215,221,245,236,212,184,169,157,152,176,189,201,219,219,216,205,189,172,149,132,125,107,89,159,233,219,216,217,215,221,239,238,221,200,186,176,165,169,194,208,216,216,218,206,183,167,146,124,112,106,85,183,231,222,214,216,215,217,233,235,228,214,203,183,175,171,185,204,215,214,209,200,178,163,142,121,111,92,142,226,225,224,217,220,220,213,231,235,235,224,208,188,175,174,186,208,218,215,202,193,176,159,136,117,92,127,223,222,223,223,179,183,190,180,216,236,239,226,208,192,178,174,187,213,216,208,196,187,172,149,128,105,104,213,231,229,231,231,109,111,117,102,167,239,228,219,210,197,183,169,187,209,204,192,181,171,158,137,119,100,129,182,182,186,184,181,117,118,118,104,134,235,215,210,210,201,188,168,181,204,196,179,160,147,136,126,107,109,111,108,106,102,126,162,115,117,119,112,126,228,203,207,212,202,185,169,177,202,191,168,137,122,116,108,111,119,112,110,142,190,230,228,114,114,116,113,121,224,204,207,213,197,186,175,172,194,184,153,116,106,100,111,119,120,151,197,236,238,224,205,114,114,115,114,117,229,220,208,211,194,182,178,165,178,174,137,105,100,102,108,133,209,246,255,241,233,226,204,114,116,114,114,113,225,228,217,209,191,183,184,160,168,167,129,101,97,100,159,236,254,250,244,233,240,244,227,115,115,115,115,113,214,227,224,208,191,183,184,157,159,163,125,96,85,164,243,240,244,247,232,228,236,247,247
7,172,175,176,178,181,182,185,185,187,189,190,191,193,194,194,195,196,195,197,197,197,197,197,197,198,198,196,196,172,176,178,179,182,184,185,186,189,190,191,193,194,194,194,196,196,196,197,197,198,198,198,198,198,199,198,197,175,177,178,180,183,184,186,187,190,190,191,193,194,195,195,196,196,198,198,199,198,198,199,198,198,199,198,198,176,178,179,182,185,186,188,189,190,191,194,193,194,197,196,196,196,198,198,200,199,199,199,199,199,200,199,198,176,178,181,184,185,188,190,191,191,192,195,195,196,196,196,198,198,198,199,200,200,200,200,200,200,200,200,198,177,179,182,185,186,189,190,192,194,195,198,198,198,198,199,199,201,201,201,201,201,202,202,199,202,202,200,199,177,179,182,184,187,189,190,193,195,196,199,199,198,201,202,198,191,193,199,197,194,188,186,208,179,196,205,201,178,181,183,186,187,191,192,194,196,196,199,200,199,196,187,180,177,167,169,175,179,170,166,185,148,188,200,196,182,183,184,186,189,192,191,194,194,192,194,195,200,192,184,185,181,161,167,168,173,169,166,163,155,180,183,160,182,184,186,188,190,193,193,199,178,172,181,189,194,187,182,176,164,161,157,148,151,153,147,145,143,142,143,171,182,184,187,189,191,190,206,196,164,169,175,169,159,150,150,147,139,134,137,147,148,148,152,158,164,174,187,207,183,184,188,191,189,207,212,194,182,165,157,142,129,117,126,151,154,175,202,207,206,206,208,212,212,213,210,207,183,186,189,188,205,218,205,206,196,156,147,151,154,152,147,156,179,213,212,209,210,211,210,208,207,207,209,209,185,188,186,200,218,208,207,203,183,161,153,145,149,155,148,131,117,148,214,209,211,211,211,209,210,210,210,210,186,185,196,213,211,206,201,187,176,166,155,131,124,140,146,144,134,125,209,213,211,212,212,212,211,210,211,211,181,192,214,212,201,192,187,180,174,167,154,132,117,119,122,124,128,132,212,213,213,213,213,212,212,212,212,212,190,212,211,204,196,187,183,182,180,175,160,137,131,134,120,102,104,133,219,214,213,213,213,213,212,212,212,211,212,207,197,197,194,186,186,180,176,172,162,147,140,138,133,126,116,122,199,219,213,214,215,214,214,214,213,211,204,200,197,193,187,184,178,171,174,171,154,140,135,133,136,131,126,97,107,192,220,213,216,216,216,216,214,212,200,198,190,189,186,183,169,171,177,159,138,125,110,99,120,128,126,104,104,168,225,214,216,216,216,216,214,214,197,194,186,184,176,172,179,175,155,139,127,103,94,92,87,122,127,112,154,211,217,216,216,217,216,217,215,216,194,191,183,173,176,179,175,157,140,130,116,99,104,100,100,118,122,191,223,219,217,217,217,217,217,217,217,217,184,181,169,174,178,170,155,141,133,117,120,139,151,159,118,133,198,222,216,218,218,218,219,218,218,217,217,217,164,163,161,162,157,147,140,128,117,134,193,217,220,225,200,205,224,217,219,220,220,219,220,218,217,217,217,217,150,144,139,138,138,128,123,131,168,209,218,214,215,215,221,221,218,220,220,220,220,220,220,219,218,218,217,217,146,131,124,120,110,125,177,204,217,211,212,215,216,217,217,220,221,221,221,221,221,221,220,218,220,219,218,218,144,126,113,109,156,197,215,210,210,212,215,218,217,218,220,220,221,222,222,221,221,222,222,221,221,219,219,219,146,128,111,116,208,210,206,210,213,213,215,218,218,219,221,221,222,223,223,222,222,222,222,222,222,221,221,220
23,125,127,129,134,136,139,143,144,145,146,148,149,150,151,152,152,152,152,151,150,151,150,149,149,149,149,147,145,125,128,130,134,137,140,142,144,147,147,150,151,151,152,153,153,153,153,153,153,152,150,150,150,150,150,150,147,126,128,131,134,137,142,143,146,147,149,150,152,153,154,155,154,154,153,154,154,154,153,153,152,151,150,150,149,128,129,133,137,140,142,145,146,148,149,153,151,151,151,148,156,157,155,156,155,156,155,154,154,152,152,152,151,129,129,135,138,142,144,146,149,150,148,149,158,169,166,132,110,147,158,158,157,156,156,155,154,153,152,152,151,129,130,136,140,141,144,147,149,148,156,177,174,170,159,143,130,130,109,158,158,157,157,156,156,155,154,153,152,130,131,135,139,141,145,148,151,148,172,172,132,135,104,109,125,102,109,160,158,158,158,158,157,156,154,154,154,131,132,136,140,143,147,150,153,151,170,152,122,73,112,158,152,147,161,160,159,158,159,158,157,157,157,156,154,130,133,137,141,145,149,151,154,151,174,155,139,63,130,169,165,166,162,162,162,161,161,158,158,159,158,157,155,132,134,138,142,147,148,151,154,152,176,158,141,86,142,166,118,156,164,163,162,162,162,160,160,159,158,158,157,133,135,139,142,147,149,151,156,153,181,166,171,184,185,172,76,116,175,161,163,163,163,163,162,161,160,160,158,134,137,141,143,147,150,153,153,158,186,193,196,177,167,126,78,102,176,168,165,164,165,163,163,163,161,161,161,134,137,142,145,148,151,152,166,179,186,190,182,173,163,82,105,131,101,151,166,169,166,166,166,164,162,163,161,135,137,141,146,150,150,181,189,182,186,190,184,171,139,72,96,129,65,68,94,130,172,165,166,165,165,163,162,136,138,142,148,150,154,190,175,168,175,174,161,163,117,66,65,99,79,70,81,77,160,170,167,167,167,165,163,136,139,144,150,149,159,187,170,179,190,183,176,157,109,76,59,65,82,79,89,85,154,173,168,168,167,166,166,135,139,144,150,151,150,197,195,194,186,166,148,127,92,82,73,39,60,81,87,89,157,173,169,170,169,167,166,136,139,144,150,153,150,198,193,170,135,104,96,85,88,92,63,22,56,85,92,95,163,173,170,171,170,169,168,138,140,145,150,153,149,187,173,147,108,87,51,64,102,91,49,49,68,85,93,93,166,174,172,171,171,170,169,137,141,146,150,154,149,176,173,138,92,70,44,84,76,51,49,68,79,80,91,101,174,173,173,173,173,171,170,138,142,146,151,157,145,174,171,130,100,82,60,42,33,52,66,79,87,85,88,145,179,173,174,174,174,171,170,138,141,147,151,157,144,171,171,137,109,86,80,53,48,77,90,96,99,86,118,182,175,176,176,175,174,172,171,137,141,148,150,159,140,169,176,142,113,93,90,74,63,92,100,101,100,87,142,185,177,178,176,176,176,174,173,138,142,148,152,159,142,163,174,139,117,97,93,81,68,91,99,100,96,94,164,181,177,178,178,177,176,175,175,139,142,149,153,159,146,159,170,136,118,99,93,84,75,90,96,102,90,121,184,179,178,179,179,178,176,175,175,139,143,149,153,160,152,157,164,136,116,99,90,88,85,92,98,94,109,171,182,180,179,179,179,179,178,176,175,139,143,149,154,159,154,158,160,127,108,94,91,92,90,90,94,111,173,184,181,182,182,181,180,179,178,177,176,139,142,149,153,159,154,161,164,125,105,95,93,93,93,93,91,156,185,180,182,182,182,181,181,179,178,177,176
8,154,156,156,158,159,159,163,159,160,158,157,157,156,156,155,153,151,151,150,149,147,145,144,142,138,138,136,134,157,158,160,160,161,154,140,162,162,161,160,159,158,158,156,155,153,152,152,151,150,148,145,144,141,139,137,136,159,160,162,161,167,150,67,140,171,164,164,161,159,159,157,157,156,153,152,152,151,149,147,145,142,140,139,139,160,162,164,162,169,129,57,120,177,164,165,163,162,162,160,159,158,157,155,154,153,151,149,147,144,141,140,140,161,164,166,165,170,127,47,125,180,166,167,163,164,164,162,162,161,160,158,156,155,152,151,150,147,142,142,141,164,165,166,168,169,122,38,140,177,168,168,171,169,165,164,163,162,159,162,164,153,155,153,151,149,145,145,143,166,167,169,168,172,124,37,137,180,170,171,156,167,171,168,171,164,114,84,130,128,118,160,151,152,150,148,146,168,169,171,170,176,143,51,123,185,172,149,99,87,162,129,99,121,117,72,43,105,79,161,152,152,150,149,147,169,170,171,172,176,139,43,105,190,162,141,123,76,94,115,66,57,127,100,38,59,69,141,162,152,152,151,148,169,171,173,174,175,141,73,80,186,156,150,140,95,66,117,84,64,126,88,40,30,61,73,163,155,153,152,150,171,174,176,177,176,167,125,72,168,159,145,152,103,51,105,102,57,104,74,34,15,72,46,100,167,153,153,151,171,175,174,176,177,174,132,78,131,134,115,149,106,54,80,109,46,84,115,57,15,76,50,66,170,154,155,152,172,174,176,177,178,179,140,129,118,120,88,131,108,49,51,108,51,75,140,61,30,94,40,99,172,155,156,154,175,176,178,179,180,182,174,151,112,99,89,111,110,57,37,81,46,2,61,22,54,95,34,135,167,158,158,155,176,177,178,180,180,181,179,132,93,64,60,83,126,106,36,15,15,25,12,64,111,79,44,161,163,160,158,157,178,177,179,181,183,184,175,130,102,69,50,53,134,119,60,16,72,127,118,107,118,54,63,177,161,160,158,156,177,178,181,182,183,183,183,157,119,74,55,54,103,96,51,63,131,129,129,91,77,30,93,179,162,161,159,157,176,179,184,183,184,185,182,161,122,84,60,53,90,113,114,139,152,123,114,79,46,23,149,172,164,162,160,158,177,180,182,183,185,185,181,167,131,99,72,54,95,157,167,163,146,114,101,70,11,85,182,166,166,163,162,160,178,179,183,185,186,187,177,164,138,103,73,67,113,167,157,152,130,102,86,50,24,165,174,168,166,165,163,161,180,182,183,185,186,187,170,157,146,107,80,81,126,157,154,147,116,94,74,18,101,186,170,169,168,167,163,161,181,183,183,186,188,189,173,163,152,113,92,85,133,147,152,135,102,83,48,32,174,176,172,170,169,168,165,162,182,183,185,188,189,191,184,169,158,124,98,81,127,138,134,114,85,67,12,111,190,173,173,171,170,168,166,163,181,183,187,187,188,191,187,177,157,125,100,86,115,127,113,93,68,27,44,184,178,178,174,172,171,168,165,162,182,184,187,187,188,190,189,174,148,121,102,94,102,118,101,79,50,15,157,185,177,177,173,173,170,168,167,165,184,186,187,187,188,190,189,175,149,131,120,112,100,111,93,70,18,110,196,178,178,177,175,173,169,169,168,165,182,185,188,189,190,188,185,181,157,149,128,119,107,104,77,40,47,188,183,182,180,178,176,173,169,169,167,164,183,185,189,189,192,181,175,183,161,154,125,119,106,82,64,22,113,198,182,183,180,177,177,175,172,171,169,167
6,188,189,189,188,189,189,188,188,188,188,187,186,184,184,183,180,180,178,178,176,175,174,172,170,170,168,165,163,190,190,190,190,190,191,190,190,191,190,190,189,188,186,185,183,183,181,180,179,177,176,175,173,171,170,168,166,191,192,192,191,192,192,192,192,192,193,191,190,189,189,187,185,185,184,183,181,179,178,177,175,174,171,169,167,193,193,193,194,193,193,194,196,195,194,193,192,191,189,189,188,186,187,185,184,183,182,182,180,177,175,171,170,194,194,195,196,196,195,195,196,196,195,195,194,194,195,193,193,191,189,185,180,176,174,168,162,163,162,171,174,196,195,196,196,196,197,197,198,201,201,199,193,191,186,178,170,163,148,132,135,142,142,128,135,183,167,149,177,196,197,197,197,196,198,199,200,186,164,154,145,147,145,141,133,133,129,114,135,134,124,127,126,156,135,137,180,197,198,199,198,197,201,195,176,153,133,130,137,140,148,148,145,128,116,105,98,91,97,101,94,107,135,171,178,200,200,200,201,201,184,167,163,154,129,108,115,122,116,102,98,82,77,92,117,136,154,164,176,185,187,182,179,201,201,203,201,172,157,161,158,144,122,85,73,54,85,146,152,160,166,185,199,198,195,193,190,186,184,182,182,201,204,201,168,153,159,161,158,156,148,117,68,39,75,149,181,205,205,196,194,191,190,189,189,187,186,184,182,206,201,173,158,163,168,168,168,170,154,99,56,54,49,43,50,77,182,200,195,196,193,192,191,189,187,186,184,187,164,163,172,171,172,169,159,164,121,59,47,50,55,58,57,33,108,211,195,197,195,193,191,190,189,187,184,159,163,174,172,169,170,154,149,155,118,84,54,32,45,52,58,52,40,180,203,196,196,194,192,191,188,187,184,165,169,173,174,172,159,149,156,157,159,141,84,41,41,40,40,51,111,195,198,196,197,195,192,191,189,188,187,167,169,175,175,166,151,150,154,151,157,131,71,48,48,52,34,142,217,198,198,198,197,196,194,192,191,189,187,166,173,175,164,153,148,147,143,140,136,101,52,40,45,53,25,140,214,198,200,198,196,197,195,194,192,190,188,168,167,155,153,154,149,148,137,124,125,114,72,31,39,35,95,196,201,198,198,197,195,195,193,191,189,186,186,157,145,143,150,145,136,127,119,123,139,144,94,47,54,33,150,217,199,198,197,196,196,195,191,192,193,195,188,145,145,145,137,123,118,118,125,133,143,132,78,48,45,27,154,212,199,198,198,197,196,196,198,185,164,128,93,145,143,133,123,119,119,119,114,111,107,76,40,50,59,135,207,203,209,209,205,200,198,199,149,80,52,44,41,132,120,108,116,119,116,100,81,66,55,51,117,177,198,211,208,200,168,154,108,93,95,83,51,46,49,34,40,96,72,66,86,96,89,71,58,61,102,157,212,207,203,203,200,117,68,58,25,34,34,29,37,32,42,32,20,54,38,53,75,77,74,69,74,90,110,112,104,106,111,110,87,59,53,51,36,21,39,26,31,24,28,28,14,42,57,106,102,103,104,103,101,100,96,95,95,80,68,53,45,43,41,30,41,13,30,22,21,23,25,19,15,38,87,118,107,108,114,109,104,110,109,111,96,56,38,46,40,32,34,30,35,17,16,21,17,21,24,13,18,44,96,105,102,104,105,102,101,103,99,80,49,42,25,33,38,28,26,25,27,22,6,18,16,20,22,9,19,53,102,102,103,107,105,102,103,96,73,59,27,35,27,22,36,23,23,18,21,23,5,14,16,19,20,10,19
10,120,123,126,129,132,134,136,138,137,139,140,141,142,141,142,142,142,142,142,143,142,142,143,142,142,142,140,140,122,125,129,132,134,137,139,141,141,142,143,144,145,144,145,144,145,145,145,145,145,144,145,145,144,144,143,143,126,129,132,135,137,139,142,143,145,145,146,146,148,147,147,150,149,148,148,148,147,147,148,148,148,147,146,146,128,131,134,138,141,143,145,146,148,149,150,150,149,152,149,117,151,152,151,150,149,151,151,150,150,151,150,148,130,133,137,139,143,146,148,150,151,151,152,152,151,155,164,98,127,160,151,152,152,153,153,154,154,152,152,151,132,136,139,142,145,148,151,151,152,153,155,155,156,154,168,137,97,155,156,155,155,156,156,156,156,154,153,152,135,138,141,144,147,151,152,153,155,155,156,157,159,158,165,165,109,133,164,156,157,157,158,158,158,157,157,155,136,140,144,147,150,152,154,155,156,157,157,158,153,152,167,185,144,106,163,159,159,160,160,160,159,158,158,157,138,141,145,150,152,154,155,156,157,159,158,165,151,91,137,192,172,100,140,168,162,164,163,163,162,161,159,158,139,143,147,151,153,156,157,159,160,161,161,166,169,113,79,173,184,118,109,171,162,165,164,165,164,164,163,162,141,146,149,151,154,157,159,161,162,163,164,162,184,172,121,122,170,141,91,169,165,166,167,167,166,166,164,164,143,147,150,153,156,158,160,162,164,165,165,176,159,197,166,93,109,160,80,158,169,168,169,168,168,167,166,166,145,147,151,154,157,160,162,163,164,165,175,177,120,128,169,107,66,105,76,140,175,167,170,169,169,170,169,169,144,147,151,155,157,161,164,165,162,180,187,161,117,44,130,141,79,52,56,96,179,170,171,171,170,170,171,170,145,149,152,156,158,163,165,166,163,181,193,125,72,11,76,138,107,59,48,62,161,176,171,172,171,171,171,171,146,150,153,157,160,164,164,169,178,158,188,150,86,17,54,127,130,99,59,54,141,181,171,174,173,172,171,171,146,150,155,158,161,164,164,171,193,176,160,189,158,58,66,152,144,124,69,46,130,184,173,175,176,174,173,172,148,150,154,159,162,165,166,168,170,194,165,146,174,127,116,171,149,128,76,41,126,187,174,176,176,175,175,174,146,150,154,157,161,163,164,170,148,157,159,102,150,154,94,175,150,119,86,44,120,187,175,177,177,175,175,175,147,151,154,157,160,164,164,168,180,150,134,113,93,138,159,185,158,118,78,48,119,186,175,176,175,174,174,174,147,150,154,157,160,163,164,167,188,179,137,123,117,188,200,183,152,109,74,51,127,186,175,176,176,174,175,175,147,151,155,157,160,163,166,165,179,186,156,150,147,197,187,170,142,95,74,55,118,187,175,176,176,176,175,176,149,152,155,158,161,163,165,166,172,186,166,176,154,192,179,152,130,96,88,65,109,187,175,177,177,177,176,175,147,152,157,160,164,167,169,172,174,180,178,185,156,169,174,147,133,108,112,72,119,190,177,179,179,178,177,176,86,91,95,97,103,109,113,114,115,172,188,182,165,144,163,148,146,122,110,69,121,173,166,171,173,175,176,177,72,72,71,68,68,70,71,74,66,126,186,168,156,141,143,153,162,125,95,70,75,83,85,88,91,93,93,97,78,78,78,82,84,83,82,81,81,84,165,152,146,140,139,157,162,122,87,68,82,82,80,81,79,78,77,77,76,76,77,80,80,82,81,79,82,72,140,157,145,144,151,147,152,122,83,68,92,90,87,92,91,91,92,93
10,97,100,103,106,106,108,111,111,113,113,114,114,116,119,122,123,120,121,122,121,122,123,123,122,120,121,122,122,102,104,107,110,111,113,114,116,116,117,118,119,121,122,124,120,123,124,125,125,125,125,125,125,123,123,123,123,107,110,113,115,118,119,120,121,122,123,123,125,125,124,152,93,96,132,127,129,129,129,129,128,126,125,125,124,112,116,120,120,122,124,124,126,126,127,129,130,129,129,166,94,71,140,131,132,132,133,133,132,131,129,129,127,117,120,124,125,128,129,128,131,131,131,134,134,133,134,171,104,63,141,134,136,138,136,134,133,134,133,132,131,123,125,129,132,133,133,135,135,139,136,136,138,137,138,174,117,65,143,140,139,139,140,138,138,139,136,134,133,127,130,134,138,136,136,138,145,135,144,147,146,144,143,179,130,69,143,147,145,144,144,142,141,141,139,138,137,132,133,138,141,140,141,143,157,90,64,132,124,142,149,181,143,67,138,152,150,149,150,147,146,144,143,144,142,135,138,142,144,147,147,150,131,52,5,39,47,85,161,179,149,64,133,158,153,154,153,151,150,148,148,148,145,139,142,145,147,151,150,153,154,72,13,34,31,42,163,194,160,63,135,162,156,158,158,156,154,152,152,150,148,140,146,150,151,153,154,154,163,139,64,111,57,25,147,164,138,60,140,166,160,161,161,161,160,158,155,154,153,145,150,154,157,156,156,162,177,138,48,163,120,45,77,68,86,54,142,171,165,165,165,164,162,161,160,158,157,149,153,157,158,161,157,157,191,148,13,118,154,81,21,24,52,44,145,173,168,169,168,167,165,164,163,160,160,152,156,160,160,172,186,167,188,162,42,38,173,120,48,28,58,35,144,175,170,172,172,170,170,168,166,166,164,155,159,162,164,170,197,163,172,167,90,0,140,163,85,36,51,32,149,180,173,174,174,173,172,171,170,168,167,157,161,165,167,166,155,131,114,209,152,13,55,178,121,56,32,32,142,184,174,176,176,176,176,174,174,170,168,160,164,167,169,171,159,128,88,165,109,2,30,141,139,95,35,25,147,188,179,179,179,178,178,176,175,173,172,164,167,169,169,174,179,125,112,97,14,26,86,121,138,98,37,19,153,190,182,182,182,182,181,178,175,175,176,166,168,172,174,175,191,165,117,89,53,134,187,145,112,85,39,26,163,189,184,183,183,183,181,180,178,177,177,168,171,173,176,177,201,168,141,141,124,198,199,153,96,73,40,49,186,185,185,187,184,184,181,181,181,180,179,171,174,174,176,179,195,183,166,157,142,205,184,141,95,64,36,74,198,185,186,187,186,185,184,183,183,182,181,171,174,176,180,180,191,185,158,156,149,197,167,128,89,60,30,82,201,188,190,189,189,187,185,185,184,184,182,174,177,179,183,181,184,186,173,174,144,175,158,116,81,53,28,90,204,188,192,191,190,190,190,189,185,184,183,175,178,179,182,183,180,178,179,173,136,169,156,108,73,52,31,103,204,190,193,193,193,191,189,189,187,186,186,176,181,181,182,185,184,179,174,156,121,152,149,107,77,57,34,138,203,191,193,193,191,192,191,190,189,189,188,176,180,181,181,185,182,191,164,131,123,149,123,120,100,53,50,185,199,196,197,196,193,194,194,193,192,190,190,177,179,181,184,186,180,198,181,158,148,143,130,140,112,37,95,205,197,199,198,199,199,197,196,195,194,193,191,174,177,181,182,182,170,196,189,171,156,132,135,129,94,29,156,205,196,198,199,198,196,198,198,196,195,193,192
0,195,195,195,194,196,196,196,197,196,197,197,198,197,197,196,195,196,197,197,198,197,197,197,198,196,195,195,195,196,195,195,195,197,199,199,199,199,198,196,197,197,197,198,197,197,196,198,199,197,198,198,198,198,196,196,196,197,196,197,197,199,200,200,198,199,198,197,199,199,200,200,199,199,199,199,199,200,199,199,198,199,196,195,195,199,198,199,199,200,201,199,198,193,176,183,195,191,194,198,196,195,197,201,201,201,200,199,199,200,198,196,196,199,200,200,200,201,201,199,203,196,143,106,147,165,150,158,180,173,152,171,188,185,192,197,200,200,200,199,198,199,201,201,202,201,201,201,197,194,139,71,98,162,126,90,143,162,108,87,136,129,118,145,189,200,199,200,199,200,201,201,201,200,198,194,172,178,151,97,81,144,112,71,116,139,91,62,118,117,78,74,130,190,201,200,200,202,202,202,202,201,195,186,158,148,164,127,69,111,109,60,105,128,82,60,125,117,73,70,111,139,200,202,201,202,203,203,203,202,196,185,160,128,130,119,62,97,103,48,96,139,90,59,132,133,83,82,128,105,153,204,202,202,203,203,204,204,196,184,161,127,101,89,64,96,90,39,99,136,83,71,147,147,122,109,115,101,94,194,203,203,204,204,205,203,196,187,176,150,109,84,74,84,73,50,89,117,99,139,160,150,134,111,91,78,80,188,203,204,205,206,206,204,198,193,184,170,141,97,75,69,78,90,97,127,159,173,167,153,128,107,90,70,92,197,205,205,206,207,207,206,199,198,189,180,166,130,84,77,85,96,124,165,180,181,173,155,124,99,85,66,114,207,205,206,206,207,207,205,196,203,197,190,183,158,117,106,100,107,148,176,185,190,178,151,119,95,81,66,152,210,206,206,206,207,207,206,188,201,204,198,192,174,149,136,124,118,151,170,186,193,178,145,114,92,75,87,189,208,205,207,207,207,207,208,189,191,207,208,201,184,167,156,144,133,145,171,190,188,171,135,104,93,72,134,207,207,207,206,208,208,208,209,196,178,203,212,206,193,178,167,157,146,142,160,183,181,161,126,98,89,74,175,210,207,208,207,208,209,208,207,207,171,191,209,210,200,185,175,166,151,141,148,166,166,142,113,92,77,94,199,209,208,207,208,209,210,209,208,211,182,174,205,211,200,181,175,164,151,142,141,152,151,122,99,84,66,141,211,207,208,209,209,209,209,211,211,209,202,168,201,208,192,173,175,161,152,142,129,134,137,111,92,72,97,194,210,208,209,210,210,210,210,211,211,209,207,179,204,208,194,181,185,171,155,140,120,119,122,106,83,76,168,210,211,211,211,211,210,210,210,211,211,210,209,184,204,212,203,188,194,176,155,139,118,110,113,103,73,126,206,210,212,213,212,211,210,210,210,211,211,211,210,179,198,212,208,193,192,173,152,136,120,108,108,98,69,167,211,210,211,213,212,211,210,210,210,210,210,212,211,179,196,212,209,194,185,170,150,134,122,107,101,91,77,187,210,211,211,212,212,211,209,210,210,210,211,211,208,189,201,210,207,195,182,168,152,135,122,108,94,84,88,202,212,211,211,211,211,212,209,210,210,210,211,211,202,194,206,201,202,191,178,166,152,134,120,106,90,81,101,207,210,211,211,211,211,211,209,210,211,212,211,211,199,193,200,199,200,184,171,162,150,133,116,100,86,76,120,205,207,211,211,211,211,211,209,210,211,211,210,211,197,189,197,201,199,182,164,154,146,131,111,91,81,71,144,205,208,212,212,212,211,211
19,172,172,173,176,178,179,178,179,179,179,179,178,177,177,176,176,175,172,172,172,171,171,169,168,169,167,165,163,172,173,176,178,178,180,180,180,181,181,181,180,179,178,178,177,176,174,172,173,173,172,171,170,170,170,168,167,173,176,178,178,180,181,181,182,182,182,182,182,180,180,180,177,177,176,175,175,175,173,172,172,173,171,170,170,176,177,178,179,182,182,183,184,184,182,184,182,181,181,181,179,178,178,177,176,176,176,175,173,174,170,171,171,178,179,180,181,183,184,186,186,186,186,187,185,184,183,182,181,179,178,179,178,177,177,176,175,172,172,172,171,178,179,181,182,185,187,188,188,187,188,187,187,187,184,182,182,181,180,180,181,180,179,176,176,174,174,173,172,179,181,184,186,187,187,189,189,190,189,189,187,187,185,185,186,183,182,182,181,181,180,177,177,177,173,174,174,181,185,186,188,188,190,190,190,191,190,190,188,188,187,187,188,188,186,186,184,182,182,180,180,177,179,177,175,183,186,187,189,190,191,192,191,193,193,190,188,188,188,183,164,167,184,178,177,179,179,175,175,182,153,172,177,183,186,187,189,190,190,191,191,192,188,188,191,189,193,190,169,176,192,175,173,183,176,175,175,162,85,160,181,184,188,188,190,193,195,193,196,201,170,157,166,178,181,173,169,177,180,167,176,196,180,154,126,99,127,179,179,186,189,189,190,194,195,192,193,170,158,167,171,168,173,168,153,116,119,116,119,149,134,127,133,161,184,182,180,187,189,190,192,194,189,198,202,181,185,191,183,166,157,128,121,105,75,76,129,175,175,188,191,188,184,181,182,189,190,192,193,196,184,228,235,211,196,193,183,175,152,102,68,90,75,71,173,198,189,188,185,185,185,183,183,191,191,192,195,198,187,235,229,190,160,135,138,141,132,102,76,89,77,88,189,191,188,188,187,186,187,186,184,192,192,194,195,200,186,216,214,168,122,108,70,76,142,111,83,91,78,99,194,192,189,189,188,188,188,187,186,192,194,196,197,201,182,205,209,159,105,72,45,107,154,112,89,94,76,124,202,191,194,192,190,189,187,186,186,193,195,197,198,204,178,207,213,171,133,84,60,110,106,91,91,89,87,110,202,194,194,193,193,190,188,187,186,194,197,196,197,204,177,205,215,176,137,109,82,44,34,38,54,71,84,84,193,197,194,193,193,192,189,188,188,195,198,197,199,206,170,202,214,177,141,108,100,82,54,46,56,74,79,80,180,201,196,196,194,194,191,189,190,196,197,197,199,207,176,193,209,174,140,109,99,99,79,72,78,84,89,84,179,202,196,197,194,194,193,192,191,195,197,198,200,208,178,191,206,169,136,113,102,102,82,76,82,89,94,95,189,200,197,197,196,196,196,196,193,196,199,199,201,209,186,191,202,166,134,112,100,100,85,81,86,95,93,116,203,199,198,198,198,197,196,196,193,197,199,201,202,209,186,200,199,159,130,111,98,98,95,92,95,106,93,160,209,200,199,199,199,197,196,195,193,198,199,202,203,206,185,208,204,165,134,117,100,98,104,102,107,100,123,202,205,203,202,201,200,198,196,197,195,198,199,202,205,205,182,212,199,173,146,119,101,98,107,106,104,135,193,207,204,204,204,203,202,199,198,196,196,197,198,200,203,199,188,208,187,162,147,120,101,104,105,97,148,207,205,203,204,203,201,199,200,199,198,196,194,196,197,200,204,195,207,207,189,157,136,120,103,103,96,99,183,205,201,203,203,203,200,198,199,198,195,195,194
2,156,157,158,159,162,164,164,164,164,164,164,164,163,163,162,160,160,160,159,159,158,158,157,156,155,154,153,151,157,159,160,162,164,164,165,165,166,165,164,165,165,162,165,178,189,181,163,154,155,157,158,158,157,156,155,153,158,159,161,164,165,165,166,166,166,166,167,164,168,183,204,208,194,184,181,141,119,115,140,157,157,157,156,155,160,161,162,164,166,167,167,166,168,168,165,176,213,205,204,203,179,149,137,111,86,86,83,141,161,159,157,157,161,163,165,165,166,168,169,169,169,169,164,206,212,201,203,167,126,101,95,86,84,84,74,126,163,158,158,158,162,163,165,167,168,168,170,171,170,169,171,224,213,198,156,114,81,73,77,79,87,89,108,152,162,160,160,159,163,164,166,168,170,171,171,172,171,167,187,230,209,147,100,81,69,80,87,119,152,153,161,164,164,162,160,160,164,165,167,170,170,171,173,174,174,168,199,226,185,113,74,77,76,85,135,167,168,167,166,165,163,163,162,161,166,167,169,171,170,172,173,174,175,171,220,212,147,86,64,70,75,90,169,168,166,166,166,165,164,164,163,162,167,169,170,171,173,174,174,175,172,192,227,171,104,66,63,59,73,95,170,169,169,168,167,166,165,165,163,162,166,169,170,172,174,175,175,176,178,226,205,138,89,74,77,69,65,110,174,170,170,169,167,167,166,165,164,164,167,169,171,173,176,176,177,174,213,233,184,129,98,88,86,81,72,128,176,171,171,170,168,167,167,166,165,165,169,171,173,174,177,178,178,181,241,224,168,119,94,96,89,86,80,135,177,172,171,171,169,168,169,169,165,164,170,173,173,176,178,178,176,198,246,208,148,108,96,95,87,89,85,139,178,173,173,172,171,170,169,170,169,166,172,173,175,178,179,181,175,219,242,194,137,101,92,89,86,90,86,145,180,174,174,173,174,173,171,162,152,159,173,174,176,179,180,181,181,241,232,181,131,99,89,89,89,90,81,143,181,176,175,174,175,170,156,152,121,124,174,175,178,180,182,177,205,250,217,171,124,95,85,86,85,84,77,116,184,178,177,177,172,153,158,139,106,157,176,177,179,181,184,180,235,242,205,163,121,92,83,81,81,86,81,87,176,181,179,177,148,149,152,106,138,172,177,179,180,183,180,197,250,231,195,155,115,89,80,77,84,91,89,78,134,186,176,144,136,150,123,103,169,171,178,180,181,184,180,219,246,220,185,149,112,87,79,80,85,88,92,87,85,123,133,133,144,134,105,123,176,172,179,180,182,184,183,235,237,210,182,146,110,88,79,86,87,84,88,89,85,91,125,151,141,116,113,160,175,173,180,181,183,184,194,240,228,206,181,142,112,93,83,94,93,92,96,97,95,108,141,148,130,119,163,178,175,174,180,182,185,183,217,238,224,211,186,148,122,99,88,102,106,110,108,107,102,113,140,127,122,166,182,179,175,174,181,183,185,186,237,239,226,212,188,154,128,104,94,110,118,122,111,107,104,110,117,127,173,182,180,180,176,175,182,184,184,197,242,237,224,207,174,142,125,108,100,113,121,122,113,106,101,106,126,176,185,183,181,179,178,176,182,186,180,216,236,230,217,189,151,124,114,108,107,117,118,115,110,101,126,165,181,185,183,181,180,180,178,175,183,183,201,237,226,213,192,157,126,118,113,106,108,111,110,108,103,134,183,188,185,185,183,181,181,180,178,175,183,190,240,227,209,195,172,130,120,120,115,111,109,105,104,111,150,187,189,187,186,185,183,182,182,180,178,177
3,134,142,148,152,154,158,161,164,166,168,169,170,171,172,172,172,175,174,172,173,173,172,172,172,171,170,169,168,139,146,151,155,158,162,166,169,170,172,174,175,175,176,176,181,155,170,179,176,177,177,176,175,174,173,172,172,142,150,155,158,162,166,169,172,174,176,178,179,180,180,181,186,130,133,189,180,181,181,181,180,178,177,176,175,146,153,159,162,166,170,173,176,179,181,182,182,184,185,186,186,130,106,185,185,184,185,184,184,182,181,179,178,148,156,162,164,169,173,177,180,182,184,185,186,187,187,188,192,133,94,174,191,187,188,187,187,186,184,183,182,151,159,165,168,171,175,180,183,185,187,188,189,191,191,191,196,142,91,163,198,189,190,190,189,188,187,186,186,154,161,167,170,174,178,182,186,188,190,191,192,194,194,193,210,160,94,147,204,193,194,194,193,191,190,189,188,156,163,169,173,177,181,185,188,190,193,194,195,195,196,185,189,150,89,135,205,195,197,197,196,194,193,192,191,159,167,172,175,179,183,187,191,192,194,196,199,199,219,196,149,114,100,128,205,199,199,199,199,197,196,195,194,162,169,174,177,182,186,190,193,194,197,200,191,168,205,219,173,106,149,138,196,204,201,202,201,200,200,198,196,163,170,175,179,184,188,191,194,198,197,211,204,171,164,226,183,151,190,111,169,212,203,204,203,202,201,200,199,166,172,177,181,186,190,193,197,200,182,178,215,205,159,199,181,161,172,100,119,212,205,206,205,205,203,202,201,167,173,179,183,187,191,195,198,208,202,175,169,210,169,174,178,138,171,131,99,164,216,205,207,206,206,205,204,168,175,180,184,189,192,197,201,199,211,205,150,162,186,148,181,138,154,160,119,121,215,207,208,207,206,205,205,170,176,182,185,190,194,199,203,193,157,179,133,112,166,117,180,180,123,158,128,120,213,210,210,209,209,208,207,171,177,182,187,191,196,200,204,202,153,157,135,99,146,121,120,121,86,142,133,116,212,212,211,211,209,209,208,172,178,183,188,192,196,201,204,211,186,141,134,112,130,167,111,68,102,165,141,105,199,217,211,212,211,211,210,171,177,182,187,193,197,201,204,207,176,133,117,104,92,134,119,106,142,178,142,100,186,222,212,212,213,212,211,172,177,182,187,192,196,201,203,207,197,161,124,105,96,107,160,173,175,159,129,107,195,219,212,213,213,213,212,172,178,184,188,193,197,201,203,210,205,168,131,124,130,141,208,214,187,155,114,119,213,215,212,213,214,211,208,174,180,185,189,193,197,201,204,208,206,181,150,138,133,152,210,206,174,148,110,138,224,218,215,217,197,181,206,169,176,182,188,193,198,203,208,211,205,185,159,139,135,148,203,200,165,137,105,158,218,199,202,200,166,163,207,120,122,125,129,134,138,140,146,149,191,188,160,151,151,139,195,193,158,126,104,153,197,175,162,194,137,170,197,117,118,120,121,120,120,121,121,114,155,192,169,158,156,133,175,180,146,116,111,177,170,180,158,168,126,185,188,119,120,121,123,124,125,128,130,124,137,194,174,157,151,125,144,158,123,107,146,182,162,166,172,135,134,192,184,119,120,121,121,124,124,123,126,119,170,215,174,153,140,118,126,128,111,117,166,177,162,163,164,126,161,185,185,118,120,122,121,123,124,124,125,120,191,213,172,151,131,121,122,119,102,152,163,151,162,157,150,148,167,181,185,117,119,121,121,121,122,124,123,127,193,201,172,153,141,128,118,111,103,178,166,122,156,158,150,164,161,189,181
6,180,182,184,184,184,184,185,185,184,184,184,183,182,181,181,182,181,180,178,178,177,176,175,175,174,173,170,169,182,182,184,186,187,186,186,186,186,186,186,186,184,182,182,182,181,180,179,179,179,179,178,176,176,174,172,170,182,183,185,187,188,188,188,188,187,186,186,186,185,184,183,183,183,181,180,180,180,179,178,176,176,175,174,172,182,185,187,187,188,189,189,189,190,189,188,188,186,186,185,184,184,184,182,181,181,180,179,178,177,176,175,174,184,186,187,189,190,191,190,189,191,190,189,189,189,187,186,186,187,185,182,179,180,179,179,176,175,173,168,172,185,187,188,191,191,192,192,191,192,192,193,192,190,186,181,178,174,174,171,152,157,168,167,154,164,158,173,196,187,188,190,191,192,193,192,192,191,190,181,173,175,177,171,174,175,175,167,163,157,175,173,159,166,162,166,186,187,189,191,192,192,193,193,191,195,195,173,158,167,177,179,183,184,182,167,152,153,148,149,138,131,131,124,132,188,190,191,192,193,194,194,191,204,202,180,169,160,161,162,157,154,147,140,131,110,110,99,115,140,145,160,172,190,191,192,193,194,194,195,194,211,206,193,179,164,153,149,142,137,128,115,98,77,67,79,173,189,185,184,180,191,192,193,193,195,196,193,203,215,210,202,173,145,142,148,154,151,145,136,130,127,92,152,192,181,181,180,179,191,192,194,194,196,198,193,212,218,214,192,147,130,138,141,151,154,150,142,134,136,104,159,191,185,183,182,180,191,194,196,196,197,196,196,219,214,211,167,135,142,138,129,134,149,137,131,132,120,90,166,191,186,184,182,181,193,194,197,197,199,192,205,218,211,211,185,171,154,141,121,128,151,142,139,141,118,113,192,188,187,185,184,182,193,195,196,198,197,196,214,213,213,215,212,199,161,139,147,153,151,143,133,123,123,109,175,191,186,186,184,182,194,197,197,199,192,205,216,215,215,211,211,201,153,130,137,141,143,137,124,117,116,93,174,191,187,186,185,183,193,196,197,196,193,210,214,216,211,207,203,187,152,134,128,121,126,131,129,123,101,120,193,189,188,188,185,182,192,193,197,185,200,212,213,213,206,201,196,193,177,159,127,101,115,131,127,124,95,156,196,186,188,186,182,184,192,197,190,181,210,212,213,208,208,207,199,195,201,182,138,118,134,147,134,117,106,113,192,188,186,186,191,174,194,198,181,195,210,211,210,209,211,205,195,203,201,169,126,117,124,122,114,105,91,110,191,191,194,188,142,86,196,187,189,206,208,208,205,201,197,193,194,199,182,148,122,120,116,107,99,95,102,174,199,183,142,96,61,56,192,182,200,203,207,201,193,189,184,187,184,171,151,130,120,108,100,135,144,160,180,164,123,82,56,54,55,54,182,189,202,202,203,193,184,181,179,176,173,153,135,125,129,116,140,168,143,124,92,66,45,40,48,53,50,48,174,200,199,200,191,182,171,168,176,170,161,151,142,127,106,82,77,58,48,46,48,55,34,38,43,47,46,47,186,202,199,196,187,179,167,161,160,154,143,135,117,93,69,52,42,47,46,50,53,46,27,34,38,43,45,43,198,200,198,191,182,166,150,148,140,125,114,102,82,60,51,59,40,37,41,45,50,42,23,30,35,43,43,40,202,199,196,193,170,142,140,136,128,115,88,68,55,46,46,56,44,31,42,42,44,37,22,29,36,44,41,41,202,198,195,187,145,135,151,140,120,100,62,53,45,42,42,51,45,34,41,34,41,32,21,30,37,43,38,38
1,117,121,124,125,128,131,132,133,134,135,136,136,137,136,137,138,137,137,137,136,138,137,138,137,136,135,134,133,120,124,128,128,132,133,135,136,136,138,139,139,139,140,139,139,140,141,141,139,140,141,140,141,140,138,138,137,123,127,130,132,134,136,139,139,140,141,141,142,142,141,145,145,142,145,144,143,144,144,144,144,143,142,141,140,125,129,133,135,138,140,142,142,143,145,144,145,146,149,126,134,148,145,146,145,146,146,147,146,145,145,144,142,129,132,135,139,142,143,145,145,146,147,146,149,139,157,118,90,164,150,146,147,148,148,149,148,147,146,146,145,131,135,139,143,144,147,148,147,147,149,146,164,132,119,130,68,120,132,153,149,151,151,151,150,150,149,147,147,133,139,142,145,146,148,149,150,149,151,149,169,132,113,143,62,104,81,156,153,154,154,155,154,153,152,151,149,137,141,143,147,149,152,152,154,154,154,148,172,142,109,161,82,116,80,134,161,155,155,156,156,155,154,153,152,141,143,146,149,151,153,155,155,155,161,135,129,164,97,160,94,113,100,111,166,157,159,157,156,157,156,155,153,142,146,149,152,154,154,155,159,156,169,132,97,170,91,145,110,126,144,92,163,161,161,161,161,159,158,157,155,144,147,149,153,155,156,158,161,158,173,138,103,167,97,148,130,109,159,92,146,167,162,163,162,162,160,159,158,145,149,151,154,156,158,160,161,159,179,139,111,186,114,138,146,92,163,110,120,174,163,164,163,163,162,161,160,147,151,154,155,158,160,161,164,161,176,137,103,180,97,100,146,77,167,134,101,173,165,166,166,164,165,163,162,148,153,155,157,160,161,163,166,163,177,153,85,150,108,101,135,101,147,127,92,163,170,168,167,166,166,165,164,149,153,156,158,161,163,165,166,165,182,142,84,123,170,127,125,160,128,104,83,144,176,167,168,169,167,167,166,149,153,157,159,162,165,167,167,167,176,149,144,105,137,142,168,160,117,103,85,104,181,168,170,171,169,169,168,150,154,159,161,163,165,167,167,171,174,151,144,102,119,177,175,156,165,123,83,71,172,173,172,172,170,170,170,151,155,159,162,165,167,167,166,174,181,138,118,127,154,150,119,116,193,178,133,63,152,178,172,174,174,173,171,150,155,159,162,164,168,167,168,174,195,141,112,112,104,92,99,143,175,174,141,93,126,184,172,174,174,173,172,152,154,158,161,163,165,167,167,172,203,161,107,120,120,143,177,190,165,154,122,73,111,185,173,174,174,173,174,153,155,158,162,164,165,168,168,169,198,185,116,138,130,173,194,189,173,144,115,54,111,187,173,174,174,173,174,152,155,159,162,164,167,168,169,169,195,199,133,151,133,165,199,198,174,133,102,52,119,187,173,175,175,174,173,152,155,158,160,163,166,168,170,168,187,198,155,166,144,149,203,196,162,125,90,53,146,185,175,176,175,175,174,155,159,163,164,165,168,170,171,169,176,194,177,166,155,133,197,189,153,118,79,55,164,180,177,176,176,176,175,138,143,148,154,158,163,165,166,170,168,190,194,169,151,120,177,181,142,107,71,71,185,186,187,182,176,176,177,67,70,71,76,81,82,85,88,93,89,171,186,157,142,117,148,163,128,94,71,80,146,143,143,161,184,179,173,69,69,69,69,70,70,70,70,72,60,148,176,150,138,114,130,152,124,86,71,67,62,88,138,167,165,175,172,70,74,81,78,77,76,74,74,77,67,145,176,154,133,120,129,150,117,71,65,88,145,187,189,164,138,137,170
3,212,214,217,219,221,223,225,224,224,225,224,223,223,223,224,221,220,218,215,215,212,209,206,202,199,198,195,191,213,216,219,222,223,223,226,226,226,227,226,224,223,223,222,226,223,220,217,216,212,210,208,204,201,197,197,193,214,217,219,222,223,224,225,226,226,226,226,225,223,230,195,168,226,219,219,216,214,211,208,206,203,200,198,195,215,217,220,224,223,225,227,228,227,228,227,227,226,234,193,115,215,223,218,217,216,213,209,205,202,200,198,196,216,218,222,225,226,228,228,228,228,229,229,227,226,233,192,107,198,229,220,217,216,214,211,206,204,202,201,199,217,220,224,226,228,229,231,231,231,232,232,229,227,233,186,97,193,232,220,220,217,216,213,209,207,205,202,200,220,223,227,229,231,234,234,235,235,236,236,234,231,238,209,111,182,235,222,222,220,217,215,212,210,206,204,203,223,226,229,232,233,236,237,237,237,237,236,236,234,230,193,107,167,241,224,224,223,219,217,215,213,210,207,205,224,228,231,234,235,237,240,239,239,240,239,236,242,215,161,105,154,239,228,226,224,222,220,216,214,212,209,207,226,230,234,237,239,241,242,242,243,243,243,239,248,255,221,145,186,176,216,232,225,224,222,219,216,214,211,209,227,231,236,239,242,243,244,246,246,245,247,239,184,180,224,166,210,132,157,246,225,226,223,222,218,216,213,210,229,234,238,241,242,243,245,247,249,246,239,243,187,129,159,172,182,163,92,175,238,227,227,224,221,218,214,212,230,235,239,241,243,244,245,247,249,248,177,163,225,174,123,175,181,177,127,98,202,237,226,226,222,219,217,213,233,236,241,244,244,246,248,250,253,243,198,148,180,208,131,157,164,160,155,96,180,244,228,227,223,222,218,215,233,239,242,245,245,248,250,252,252,200,215,188,143,194,147,85,78,171,167,90,200,243,231,228,226,223,219,217,235,240,243,246,247,250,249,255,233,160,156,188,111,145,136,72,64,168,174,98,215,242,233,229,227,225,221,218,236,239,244,246,248,251,251,255,231,171,108,157,84,113,157,107,106,182,172,99,220,242,234,231,228,227,223,220,237,239,244,247,250,251,254,252,208,160,113,125,111,98,162,110,164,188,152,97,230,243,235,233,231,228,224,220,237,241,246,249,252,253,255,250,226,189,132,106,110,126,190,180,193,167,104,126,252,239,238,235,233,229,225,221,238,242,246,251,252,253,255,253,235,204,150,133,119,196,247,223,178,150,82,188,255,238,240,238,233,231,225,222,240,244,246,251,252,255,255,252,231,208,167,140,134,221,225,198,172,137,97,237,247,242,240,238,234,232,226,224,239,244,247,252,253,255,255,254,219,199,173,153,149,219,216,190,166,109,134,255,245,244,241,239,236,233,228,225,237,243,247,252,254,255,255,255,225,202,187,173,155,206,208,177,142,85,203,255,246,245,244,241,238,234,230,227,238,243,249,253,253,255,255,255,244,208,201,179,151,176,180,150,96,118,255,251,249,246,245,242,238,235,231,229,238,243,249,253,255,255,255,255,255,225,203,180,157,153,158,131,74,207,255,250,251,247,244,242,239,236,232,229,240,244,249,253,255,255,255,255,255,237,198,184,177,160,151,104,112,255,253,253,252,249,245,242,240,237,235,230,239,243,248,252,255,255,255,255,246,235,212,206,187,163,139,83,157,255,251,255,254,252,247,242,241,238,236,232,237,243,249,252,255,255,255,255,233,241,226,206,181,151,121,75,194,255,252,253,251,249,245,243,240,236,234,230
0,197,195,196,196,197,197,196,194,196,197,197,197,196,196,195,195,194,193,193,192,190,189,189,189,187,185,185,185,200,199,199,199,199,200,199,199,199,199,199,198,198,198,196,196,195,194,194,193,193,191,191,192,189,188,187,186,202,202,201,202,202,202,202,202,201,200,200,200,200,199,199,198,197,195,196,194,194,192,193,192,190,188,187,187,202,202,202,202,202,202,202,202,202,201,202,202,200,199,201,199,198,198,198,194,195,195,193,193,193,191,190,188,203,203,203,203,203,202,202,202,203,203,203,204,203,202,202,205,201,200,203,201,196,195,196,195,194,193,192,192,205,204,205,204,203,203,203,203,204,203,204,204,202,204,197,182,199,206,183,179,203,173,168,201,194,194,193,193,205,205,205,205,204,204,203,203,204,203,204,207,209,201,162,123,120,167,141,112,135,176,113,195,197,195,195,192,206,206,206,206,206,206,207,207,208,211,207,185,160,172,158,130,83,90,146,115,78,175,113,155,210,193,197,193,207,207,208,208,207,206,206,206,188,187,195,164,109,88,154,138,112,99,148,121,81,152,147,88,185,204,194,196,208,208,209,208,208,208,205,193,152,105,174,159,120,76,145,146,125,97,155,125,72,123,161,101,96,184,200,195,209,208,209,209,208,209,194,186,159,111,159,167,133,89,139,153,115,94,161,128,67,82,166,135,84,113,212,194,209,210,210,210,211,206,181,179,171,132,142,176,131,92,118,155,112,78,135,113,59,84,171,144,76,123,213,196,212,211,211,211,211,201,168,159,171,140,126,168,126,90,100,154,110,49,72,71,43,135,178,137,64,174,207,198,213,212,210,211,210,195,186,145,153,136,95,149,132,100,66,97,73,22,52,53,95,173,172,109,89,209,200,202,214,213,212,212,207,188,167,115,124,95,51,116,125,92,36,33,48,92,137,119,153,174,152,77,137,215,200,202,213,214,214,216,204,186,175,138,105,69,42,59,81,47,30,65,136,175,172,159,138,159,127,56,182,210,202,203,214,215,214,217,202,190,188,163,123,102,86,88,98,103,126,161,181,174,165,160,122,120,88,68,211,205,204,203,215,215,214,217,200,190,196,168,140,119,109,119,148,175,184,188,188,176,159,147,104,87,47,147,218,205,205,203,215,215,214,217,201,183,196,172,147,116,118,127,175,188,190,193,187,164,147,132,94,41,110,217,206,207,206,205,214,215,214,216,206,173,187,175,154,130,125,144,190,193,190,193,175,150,130,114,56,83,215,209,207,208,208,206,214,215,214,214,214,176,183,181,161,149,136,158,187,193,191,179,154,138,118,81,55,197,212,207,207,207,207,205,215,215,214,214,220,186,172,183,174,160,138,162,184,185,182,163,136,121,98,45,162,218,204,208,207,207,205,204,215,216,216,214,217,201,167,179,172,155,137,154,176,169,160,140,116,100,46,123,222,206,210,208,207,206,205,204,216,215,216,216,216,214,174,175,164,148,137,146,166,155,140,119,96,47,91,217,211,211,209,208,208,208,207,206,215,214,215,216,217,212,181,176,157,141,137,141,159,147,121,104,53,84,213,213,211,212,211,209,209,208,208,207,214,214,214,214,217,203,180,173,164,161,156,146,152,143,110,73,55,206,216,212,213,213,211,210,209,209,207,206,219,218,218,218,221,184,179,181,176,171,160,148,147,129,93,45,131,228,210,215,213,212,213,211,211,210,206,204,180,184,187,190,194,169,182,190,181,169,160,150,133,105,81,48,178,218,213,214,215,213,212,211,210,209,207,205
8,216,218,216,218,219,219,220,220,219,220,221,218,222,222,220,221,222,221,220,219,216,216,216,216,214,213,214,212,218,219,219,221,222,221,221,223,221,221,222,222,202,210,226,223,224,224,222,222,220,219,219,218,215,214,215,213,221,221,221,223,224,223,223,224,223,224,219,238,180,159,234,223,225,225,224,223,223,222,222,220,220,218,217,216,222,223,224,224,225,226,224,224,225,224,225,241,156,158,238,225,226,228,227,226,225,225,224,222,221,220,219,218,224,225,225,225,227,228,227,226,227,223,237,236,121,178,238,226,228,230,229,226,226,226,225,224,223,222,220,219,225,226,226,226,229,230,228,229,231,225,246,233,111,194,238,229,230,231,230,229,230,227,225,226,225,223,223,222,226,227,228,230,230,230,230,231,232,226,253,214,116,217,238,231,231,232,230,230,231,230,229,229,225,225,225,225,229,229,229,231,231,230,231,232,232,230,255,180,125,232,231,234,237,231,238,236,228,230,231,232,230,226,226,226,230,230,231,232,232,232,232,231,230,238,251,175,127,247,227,179,210,236,198,217,241,233,237,223,223,230,228,229,231,232,232,232,233,233,233,234,229,246,248,187,138,255,241,178,151,233,163,144,177,181,208,196,138,224,231,228,231,232,233,233,232,233,233,235,230,252,246,183,184,255,251,212,135,203,191,134,115,156,187,190,86,215,236,228,231,232,234,234,234,234,235,234,232,254,240,184,219,255,255,228,128,169,195,136,194,167,203,207,92,214,235,228,230,231,234,234,234,234,235,233,242,241,222,216,219,253,255,226,135,146,178,152,217,163,209,225,135,193,244,229,230,231,233,233,234,234,236,235,249,209,215,229,214,206,255,232,144,116,157,181,202,150,199,226,183,143,239,234,230,231,232,232,234,234,234,236,252,194,187,218,194,197,255,242,150,89,134,193,189,119,176,230,176,104,221,239,231,232,232,233,234,235,232,238,255,193,150,182,173,161,233,241,140,78,122,194,175,103,195,212,131,128,241,231,231,233,233,234,234,235,232,245,255,207,135,152,141,134,185,235,175,75,110,208,162,120,208,163,96,196,244,231,232,233,234,234,234,236,234,255,255,232,132,139,139,135,166,219,197,77,105,188,132,177,171,107,124,242,233,233,232,232,233,233,234,237,237,255,255,246,150,117,139,131,156,206,144,108,192,203,183,213,149,80,192,244,233,236,232,232,232,233,234,235,236,255,255,255,156,123,152,134,183,236,213,228,224,204,175,179,143,82,226,241,236,237,231,234,237,241,243,243,240,255,255,252,155,137,152,153,229,253,252,243,217,203,160,135,107,124,246,237,238,239,138,143,150,152,156,152,182,255,255,244,162,172,146,191,255,255,255,247,223,191,146,109,82,196,247,236,231,225,96,96,98,96,97,87,123,255,255,243,190,181,155,193,255,255,255,234,211,170,129,95,91,121,121,128,161,208,108,109,109,110,109,109,115,255,255,250,204,183,176,182,255,255,243,212,193,144,109,89,92,110,153,205,238,240,110,109,108,108,107,110,100,241,255,240,201,184,178,185,255,255,226,191,163,121,90,113,184,228,253,249,250,242,110,108,106,108,111,111,107,244,249,221,197,184,172,206,255,229,207,161,132,105,73,227,255,225,213,217,223,238,106,107,106,107,108,105,125,255,236,212,194,187,180,216,225,212,182,137,128,87,122,231,250,252,223,201,208,210,107,107,107,106,111,98,144,255,224,209,199,191,191,210,210,200,166,127,119,96,207,215,198,228,241,205,165,159
10,164,170,174,178,182,186,189,193,196,198,199,201,202,202,204,203,204,205,205,205,205,205,204,204,206,205,205,205,168,172,176,181,186,190,193,197,199,203,204,206,207,206,207,207,209,208,208,209,208,208,208,207,209,208,207,207,172,176,181,185,190,194,198,201,204,206,208,209,210,210,212,212,212,215,214,213,213,212,211,211,212,213,212,210,174,180,185,189,193,198,202,206,209,210,212,214,215,214,216,215,217,205,208,219,216,217,215,216,216,216,215,215,177,183,189,192,197,200,205,210,214,216,216,217,218,218,219,215,231,202,151,226,218,219,218,219,219,220,220,218,181,186,191,196,200,204,209,212,217,218,218,219,221,222,222,220,229,236,149,188,230,221,223,225,224,223,224,221,182,189,194,199,202,207,212,216,219,220,222,222,224,225,226,229,226,244,196,150,231,226,226,226,227,226,225,226,185,191,197,201,206,210,214,218,221,223,224,226,226,227,226,217,223,249,249,161,204,235,227,229,229,229,227,227,189,194,199,204,208,214,218,221,223,224,226,228,229,228,241,184,141,246,255,197,158,241,230,234,233,233,233,230,191,196,201,206,211,217,220,223,225,227,229,231,233,229,246,224,130,168,255,230,137,221,239,235,236,236,235,235,192,198,204,210,214,218,221,225,228,230,232,234,235,234,238,255,228,164,205,249,145,192,246,235,237,238,238,237,194,199,205,211,216,219,224,227,228,231,235,236,233,247,233,230,255,193,109,220,167,160,253,236,241,241,241,239,196,201,207,212,218,221,225,228,231,234,234,236,240,251,222,135,206,218,128,121,142,132,255,239,243,243,243,242,196,201,208,213,218,222,225,230,233,236,237,236,255,246,193,96,85,217,174,90,83,93,227,250,244,243,243,244,197,203,209,214,219,224,227,232,235,237,238,235,255,236,131,51,37,165,193,135,78,71,168,255,244,246,244,245,199,205,210,216,220,226,229,234,237,235,249,251,228,255,223,108,32,152,205,188,120,76,133,255,246,247,245,245,200,207,210,216,222,226,232,235,238,236,255,255,245,222,255,196,91,204,234,212,141,74,113,255,250,251,250,247,201,208,213,216,222,228,232,235,238,240,237,244,255,204,206,255,167,210,239,201,151,77,105,255,252,253,253,250,200,206,211,216,221,226,230,234,236,238,240,207,227,193,137,215,157,218,252,197,145,89,102,254,253,253,252,251,201,208,212,216,221,224,228,235,236,235,251,253,210,192,148,156,255,255,248,200,131,88,109,253,252,252,249,250,201,207,210,217,223,227,230,233,236,235,248,255,235,192,179,229,255,255,239,181,122,91,117,255,252,252,250,250,201,207,210,217,223,226,229,234,236,239,238,255,248,233,217,248,255,247,217,165,116,106,108,254,253,252,251,251,202,208,213,218,221,226,230,234,236,239,240,255,255,249,242,232,255,230,203,165,145,133,108,250,253,251,253,253,198,204,211,219,225,230,235,239,243,245,248,253,255,255,255,210,249,225,212,182,174,137,120,255,255,255,255,255,116,120,126,134,140,144,150,158,163,167,167,190,255,255,247,215,214,218,228,203,165,115,128,243,241,245,247,250,105,107,108,108,105,102,102,104,106,106,109,107,223,246,225,214,201,209,245,209,152,111,104,121,126,129,134,137,113,113,115,116,116,121,122,121,120,120,124,109,163,239,209,213,212,214,231,203,147,105,115,121,118,119,118,116,109,110,112,112,112,114,116,121,119,116,117,114,128,229,226,214,222,212,209,208,147,104,124,133,129,133,132,135
0,186,187,187,186,186,186,186,186,186,185,184,184,184,184,182,182,182,181,180,179,178,178,177,176,175,174,173,172,187,188,187,188,188,187,186,187,187,186,185,185,185,184,184,182,182,182,181,181,179,178,178,176,175,174,174,174,188,188,188,188,188,187,188,188,187,187,186,186,187,185,184,183,184,181,181,181,180,180,178,177,175,175,175,174,190,189,189,189,188,188,190,189,188,188,187,186,179,187,187,186,185,188,182,182,181,179,179,178,177,176,175,174,190,190,191,191,189,189,189,189,188,191,187,169,141,141,181,161,143,151,187,179,178,183,179,181,179,177,176,175,190,190,191,191,190,190,190,179,155,159,181,162,142,113,133,153,130,104,138,147,126,139,182,165,168,179,175,175,192,191,191,191,190,189,190,176,157,132,146,177,143,119,124,164,138,114,102,143,121,90,136,152,133,183,176,175,192,192,191,191,190,191,190,190,169,152,122,165,148,124,120,164,143,115,112,152,134,99,96,149,123,180,177,176,193,193,192,191,191,194,188,177,175,153,111,155,154,124,118,162,142,114,97,140,128,99,87,141,115,167,181,178,194,193,193,193,192,195,179,146,173,136,104,155,144,114,111,151,131,106,87,131,119,91,88,143,117,130,186,177,194,194,193,194,194,190,163,133,170,127,105,151,128,100,106,143,123,97,95,148,131,86,85,146,138,106,158,182,194,193,193,193,196,191,178,155,167,140,117,146,135,103,107,150,129,89,131,167,131,78,99,148,140,108,121,188,194,194,195,194,196,184,165,149,149,140,115,152,148,103,123,162,138,97,123,156,101,77,138,155,138,96,132,187,194,196,196,197,193,168,146,130,119,107,101,153,141,98,115,163,137,93,60,75,64,114,159,155,123,93,172,182,196,196,197,195,191,174,153,131,111,105,102,111,120,97,83,107,106,106,125,97,105,158,156,143,97,129,190,178,197,197,197,194,187,173,154,132,114,111,117,113,118,122,115,118,146,165,162,157,138,147,146,119,90,173,184,179,197,197,198,196,189,175,158,138,117,110,116,124,139,150,157,168,171,162,151,151,132,129,134,93,119,190,180,181,196,197,197,195,191,176,159,144,126,118,118,127,156,167,174,172,167,158,149,146,126,114,117,80,161,189,182,182,197,198,197,195,192,178,164,149,132,131,124,153,178,176,176,172,165,153,145,141,117,105,82,115,191,183,184,183,198,198,197,195,194,182,168,155,145,141,148,174,180,178,176,171,161,151,139,128,108,79,100,183,187,185,185,184,198,198,198,196,194,184,171,161,153,147,166,175,180,181,175,161,153,144,131,118,85,91,182,189,186,186,185,184,198,199,199,195,192,187,176,165,154,149,173,177,180,178,167,153,144,135,122,94,82,175,191,185,187,187,186,183,198,199,199,194,190,186,178,168,156,150,171,178,172,168,155,143,131,123,100,77,164,195,187,188,187,187,185,184,199,200,201,197,191,189,181,175,165,155,166,173,163,156,145,132,120,99,73,155,197,188,190,188,187,186,185,184,199,199,201,198,194,186,180,176,169,160,164,167,156,144,136,123,97,74,153,198,189,191,189,188,188,186,186,185,200,200,201,197,192,184,187,187,178,166,161,159,145,135,126,103,75,156,201,192,193,192,189,188,188,187,186,185,200,200,200,195,194,184,187,187,173,165,157,152,136,120,112,80,153,203,192,193,193,192,190,189,189,187,187,186,200,200,198,192,188,170,184,176,167,161,153,139,128,115,89,113,203,193,194,193,193,192,191,190,189,188,187,186
6,176,177,176,178,180,180,182,183,183,183,183,182,182,183,182,181,182,182,183,182,183,182,181,181,178,176,177,179,183,183,183,184,185,184,184,184,185,185,185,185,185,185,185,185,187,186,185,185,186,185,183,182,181,180,182,180,186,187,187,187,188,188,188,188,189,190,190,190,190,190,189,191,191,190,189,189,190,190,187,185,187,186,186,176,189,190,190,192,191,192,192,191,192,194,193,193,192,193,193,194,194,192,192,192,191,192,189,189,192,189,192,161,193,193,194,193,194,195,195,195,197,197,196,197,202,197,195,196,196,196,198,198,196,193,199,195,193,192,193,183,198,196,198,198,198,199,199,199,200,201,204,185,169,203,201,202,199,199,193,196,185,197,244,193,188,197,195,190,201,201,203,202,201,203,205,205,205,201,222,169,86,176,192,188,200,200,183,190,192,178,204,157,190,201,197,198,203,204,206,206,204,207,209,210,209,211,226,171,174,197,189,180,199,194,180,160,148,126,123,172,203,200,202,200,206,208,210,209,211,211,214,214,209,209,213,219,226,208,177,168,137,123,110,104,119,160,202,210,204,205,204,202,210,212,212,213,213,214,207,200,204,209,216,214,190,162,137,106,106,127,157,195,213,218,213,208,207,206,205,204,213,214,216,216,217,215,197,193,194,195,179,141,107,90,105,174,210,216,222,217,214,214,214,212,210,209,209,207,216,216,217,215,226,225,219,218,171,131,133,117,90,106,190,223,226,223,217,219,218,217,218,215,213,212,211,211,219,219,219,217,233,234,246,203,132,120,121,139,149,148,136,136,161,198,227,220,221,220,220,219,217,215,215,213,222,221,221,225,240,241,252,185,147,164,131,123,141,153,140,134,127,99,197,231,222,222,223,222,220,218,217,216,222,224,222,236,252,248,248,236,238,216,145,111,126,136,123,116,123,81,175,240,225,225,224,223,221,220,220,218,225,226,226,244,254,247,247,250,254,225,154,106,123,135,138,125,113,88,167,241,226,227,227,227,224,223,222,221,228,228,231,242,249,248,247,246,241,232,202,158,119,101,127,134,129,106,99,234,229,228,228,228,228,227,226,225,230,229,228,248,245,251,246,246,244,247,250,209,133,96,119,127,120,95,117,241,231,231,229,230,231,230,229,228,231,228,229,248,252,254,251,251,246,247,252,201,136,112,113,117,112,93,105,224,238,233,232,232,233,231,229,229,235,226,239,250,253,255,255,251,243,248,230,173,128,120,114,114,110,107,72,191,247,234,234,232,233,231,231,232,237,217,240,251,252,255,254,239,238,230,195,155,132,123,100,109,111,100,110,231,241,237,237,236,234,234,234,233,232,215,243,251,253,255,236,228,228,204,171,144,148,155,102,81,82,91,216,246,237,239,239,238,237,237,234,234,221,225,252,247,245,237,220,218,217,197,171,162,156,161,76,50,88,203,251,239,241,240,240,237,238,237,236,235,213,233,249,242,235,227,215,212,206,195,182,169,138,106,148,186,236,252,246,244,241,241,241,239,239,239,238,237,211,238,245,229,224,215,219,219,199,183,177,146,96,145,255,252,248,246,247,245,245,244,244,243,242,240,240,238,221,237,236,225,221,204,211,211,189,175,155,121,88,224,252,246,246,245,246,246,246,246,244,244,243,242,241,239,226,232,223,221,212,195,197,190,176,156,128,93,154,255,247,250,249,248,247,248,246,246,247,246,245,245,242,241,226,228,229,222,204,193,186,177,150,124,100,103,238,252,247,250,250,249,248,249,249,247,248,247,246,246,245,243
12,207,213,217,223,226,229,233,236,239,241,242,241,244,246,245,241,241,246,249,240,242,240,239,240,240,238,237,234,209,214,219,223,226,231,235,239,240,241,243,245,244,234,232,251,246,209,212,250,244,245,245,240,241,240,239,237,210,214,219,225,228,232,236,240,241,244,247,243,255,241,194,210,255,235,166,196,231,191,220,249,243,243,241,240,212,217,221,227,230,234,239,241,243,247,246,247,255,255,249,180,190,255,232,140,157,197,147,234,249,244,244,241,214,219,223,228,232,238,240,242,245,248,242,255,255,255,255,202,120,221,237,152,97,179,151,153,255,245,245,245,217,221,225,230,234,239,241,245,249,248,243,255,224,249,255,185,115,204,217,147,99,146,157,105,241,249,246,246,220,223,228,232,237,241,244,249,248,251,255,196,163,254,238,165,104,213,205,133,105,158,140,112,249,248,248,246,221,226,230,235,239,244,249,246,255,255,255,167,113,179,226,192,91,194,247,159,108,193,148,134,255,247,248,248,224,229,233,238,241,247,245,255,255,255,255,193,115,121,240,186,75,203,255,148,120,244,150,178,255,249,250,249,227,231,236,241,247,246,255,255,233,236,255,202,115,65,180,165,43,116,242,132,105,211,151,237,255,254,253,252,229,235,240,244,250,249,255,255,235,206,253,188,121,62,82,86,81,121,139,159,167,178,112,217,255,253,254,254,232,238,242,247,249,255,255,233,199,152,228,189,125,69,80,87,201,255,213,209,182,167,137,149,255,255,255,255,233,241,245,251,252,255,255,244,210,135,195,190,122,77,95,159,237,254,239,205,167,129,151,122,248,255,255,255,237,244,248,252,253,255,255,250,216,158,161,193,155,86,132,222,251,245,235,209,165,129,124,121,255,255,255,255,240,246,250,255,255,255,255,255,229,190,137,180,179,102,221,255,255,248,243,188,156,128,86,174,255,255,255,255,245,250,255,255,255,255,255,255,241,201,161,150,147,186,255,255,255,255,227,164,147,114,95,252,255,255,255,255,248,253,255,255,255,255,255,255,250,209,194,172,167,231,250,255,255,255,199,153,142,85,164,255,255,248,207,163,251,255,255,255,255,255,255,255,255,222,214,189,180,223,230,255,255,236,178,144,127,86,214,196,135,89,65,61,255,255,255,255,255,255,255,255,255,235,228,203,185,234,225,255,255,207,160,132,113,83,80,56,51,54,57,54,255,255,255,255,255,255,255,255,255,241,236,212,190,232,247,241,229,181,142,122,100,56,52,52,54,51,56,45,255,255,255,255,255,255,255,255,255,242,229,215,202,217,244,216,192,160,131,118,68,34,59,56,39,42,60,52,255,255,255,255,255,255,255,255,255,240,225,209,191,199,225,203,173,147,122,103,53,23,45,65,43,31,48,59,255,255,255,255,255,255,255,255,249,229,221,206,183,197,214,191,150,136,114,75,69,27,26,54,60,34,34,53,255,255,255,255,255,255,255,255,227,213,215,197,180,200,197,173,131,120,62,44,71,49,11,34,57,50,27,37,255,255,255,255,255,255,255,255,226,224,226,208,194,203,180,154,125,93,37,27,56,65,15,16,42,57,40,24,255,255,255,255,255,241,255,255,238,248,244,215,192,196,168,146,116,65,50,21,39,62,34,6,26,52,53,28,255,255,255,255,255,170,241,255,255,255,250,205,194,194,161,139,102,52,48,29,19,50,47,6,13,41,54,41,239,245,252,255,255,123,150,255,255,255,231,190,200,193,155,134,83,61,42,32,10,43,51,14,4,31,51,49
15,77,82,84,85,90,91,95,108,118,126,133,138,144,146,149,152,155,158,161,166,167,169,171,173,176,177,177,179,77,80,79,78,84,88,96,108,118,126,134,139,145,147,149,151,156,160,162,166,168,170,173,177,178,177,178,178,80,73,109,144,100,87,92,107,119,128,134,141,146,147,148,151,156,159,162,166,169,170,173,177,178,176,178,180,82,63,149,188,162,138,119,110,117,121,135,144,147,150,149,151,156,160,164,167,172,173,174,175,177,177,181,181,80,73,103,162,150,147,155,144,140,125,123,125,134,139,146,153,160,165,166,168,170,173,174,176,178,179,181,183,78,82,76,101,113,108,129,141,146,151,142,131,129,127,131,132,133,143,152,164,174,172,175,176,180,181,182,184,78,79,83,84,88,91,105,110,110,140,144,141,135,136,145,148,133,114,105,95,156,179,176,180,181,182,182,185,78,81,84,87,87,90,100,106,100,116,126,124,119,115,142,159,160,132,121,87,78,167,181,179,182,183,185,187,78,79,82,85,87,88,101,114,120,126,126,125,118,112,151,154,159,141,141,120,88,95,176,181,182,185,187,188,77,79,80,84,87,89,101,112,118,130,139,142,134,153,170,155,150,162,150,140,123,85,100,182,183,186,188,189,77,78,80,83,86,91,100,110,128,130,134,143,153,182,174,128,149,166,144,162,141,108,68,110,189,182,188,188,77,78,79,83,88,87,105,156,138,140,135,124,160,158,128,106,134,160,137,176,151,112,89,62,137,193,186,189,77,78,80,84,87,84,117,166,155,170,173,143,110,120,93,56,124,139,137,175,152,116,94,76,69,157,193,191,77,78,82,85,86,87,102,127,136,174,184,146,120,133,125,100,119,127,145,152,144,119,97,79,71,73,166,195,76,77,79,81,84,89,99,113,132,150,148,126,138,144,133,139,140,133,108,101,119,108,94,76,74,60,88,183,76,77,77,78,81,87,100,112,120,129,120,110,135,145,141,147,155,139,102,75,89,91,86,84,75,74,61,104,74,77,77,78,81,85,99,111,119,126,188,124,93,105,139,146,149,133,95,78,84,83,83,87,82,76,74,61,72,73,74,79,79,84,97,110,119,123,200,152,86,29,69,125,140,127,96,83,86,83,85,89,85,80,76,69,72,72,74,77,77,84,99,109,119,123,183,144,74,52,43,63,121,96,81,82,87,89,87,89,85,83,80,71,71,72,74,76,76,84,98,109,121,123,182,142,64,99,63,59,99,112,91,88,94,97,93,88,84,82,80,77,69,70,72,75,75,82,95,107,118,120,173,138,59,145,72,118,82,123,118,109,101,93,90,86,81,80,78,80,69,70,70,74,75,80,93,105,120,113,190,136,48,156,125,87,145,112,100,87,89,85,84,84,84,84,83,79,68,67,65,68,67,76,90,103,115,115,182,117,53,145,166,54,155,141,79,106,69,67,72,69,70,75,79,83,119,114,112,115,115,118,120,123,127,127,139,78,95,154,131,83,151,157,148,163,102,56,56,55,57,60,69,77,92,91,93,95,99,98,95,92,88,88,90,77,93,99,95,93,101,101,102,101,101,73,61,70,78,83,86,88,90,92,90,91,90,89,91,89,83,86,89,94,92,90,91,93,90,90,90,90,91,92,91,100,94,102,99,105,94,93,94,96,93,94,95,94,93,94,97,95,94,97,100,97,95,96,97,97,99,100,94,127,112,112,105,115,97,94,93,94,94,95,97,97,98,98,97,94,94,96,97,97,97,97,96,95,96,100,89,128,147,127,125,126
2,204,205,206,205,205,207,207,207,206,205,206,206,204,205,204,203,202,201,199,197,198,197,195,194,192,190,189,188,205,206,207,208,207,208,209,209,210,209,208,206,206,209,208,207,207,208,207,202,198,198,195,193,192,190,189,188,206,207,209,210,211,211,211,211,210,210,210,210,207,193,194,196,190,184,178,185,204,198,195,195,195,193,191,190,209,210,211,212,212,212,212,212,212,212,212,208,188,175,177,179,175,152,132,120,165,204,203,197,196,195,193,192,210,211,212,212,213,213,214,214,214,214,213,196,183,181,172,166,178,145,121,142,150,152,177,200,198,196,195,193,212,213,214,214,215,216,216,215,216,217,214,205,194,176,155,140,128,95,89,115,128,103,94,185,205,197,196,193,213,214,216,216,216,217,218,218,218,210,200,197,181,139,107,95,106,123,174,169,134,106,137,200,201,200,198,195,213,214,217,218,218,219,219,220,220,206,192,176,139,92,73,83,202,220,216,217,212,204,210,204,201,201,199,196,215,215,218,219,219,222,221,221,220,207,182,131,92,81,74,124,225,211,212,211,210,209,207,205,202,202,200,198,217,219,219,220,221,222,222,223,219,208,174,101,74,73,77,188,222,214,214,213,212,209,207,209,207,203,201,199,218,219,220,221,222,222,224,222,218,206,167,100,76,69,111,227,216,218,216,214,213,212,211,199,193,205,202,199,219,220,222,223,224,224,226,220,214,202,149,86,88,81,120,227,217,219,217,214,213,215,172,135,123,171,209,200,220,221,221,223,226,225,227,220,216,196,138,98,98,80,132,230,218,221,218,215,218,176,136,136,116,154,212,201,221,221,223,225,226,228,226,218,217,195,144,114,96,73,158,235,217,221,218,222,187,136,143,132,114,192,207,203,221,223,225,226,227,228,224,217,216,192,144,116,93,78,118,232,226,218,227,198,125,124,134,109,152,216,204,204,222,225,226,226,228,229,225,217,212,185,150,119,89,89,86,127,195,233,202,144,117,117,115,107,208,210,207,205,223,225,226,227,227,230,224,216,211,185,147,111,90,89,95,93,108,162,126,120,132,113,92,177,218,209,209,206,224,226,227,228,228,230,221,216,222,186,142,118,91,90,95,103,109,102,104,118,114,104,185,222,211,213,210,207,224,226,227,229,229,232,216,223,222,179,139,117,93,90,98,101,110,115,105,111,103,192,225,213,214,213,210,207,224,225,227,230,231,231,215,228,213,169,136,119,95,90,99,102,109,115,107,84,179,229,214,214,214,213,211,207,226,227,228,230,234,228,217,225,203,163,138,122,94,90,103,108,110,112,92,154,228,218,217,215,214,213,211,209,226,227,229,231,233,225,217,220,190,161,142,119,95,91,108,110,113,93,116,232,221,220,218,217,216,213,212,211,227,228,230,232,234,224,214,205,180,155,135,114,93,92,108,105,102,80,196,231,221,221,220,219,216,214,212,211,227,228,230,231,233,223,210,198,177,150,133,112,91,92,105,104,76,162,237,224,224,223,220,219,218,215,212,211,227,229,230,232,231,222,202,191,167,143,126,109,93,94,93,76,151,238,226,226,225,224,220,219,218,216,213,212,227,229,230,231,230,221,197,188,165,141,121,105,91,79,90,174,238,228,228,226,225,224,222,219,217,215,214,212,227,229,231,230,229,216,195,182,166,140,114,96,74,130,226,241,230,230,229,227,225,223,223,220,218,216,215,212,228,229,232,229,220,194,180,179,161,130,102,84,92,228,240,230,232,230,230,228,227,225,224,221,218,217,215,212
8,143,149,157,161,164,165,171,177,179,180,181,182,184,185,185,185,186,187,187,187,187,186,186,184,184,183,182,182,145,152,161,167,165,185,176,173,184,184,185,186,187,188,188,188,188,188,188,188,189,188,187,185,185,183,182,182,150,158,167,172,169,213,167,141,195,188,191,191,192,193,192,193,193,193,192,192,191,192,190,189,188,187,184,183,154,162,171,176,176,230,163,123,201,196,198,198,199,199,199,199,198,199,198,196,196,196,194,194,192,190,188,186,158,167,175,181,181,246,161,123,209,203,205,206,205,205,205,207,208,202,203,207,202,200,200,199,198,195,193,190,162,171,179,185,188,243,157,128,214,208,211,211,217,213,213,202,200,223,208,174,205,208,205,205,202,200,198,197,168,177,184,190,192,248,172,128,217,215,216,218,183,199,251,192,128,199,240,149,150,217,211,212,209,205,204,201,172,181,187,194,200,252,181,137,213,218,236,255,185,174,241,209,153,170,209,181,129,190,224,216,215,211,209,207,177,186,194,199,203,253,211,170,201,228,255,255,254,227,193,193,209,238,169,120,126,158,231,219,220,218,215,213,181,190,199,205,205,248,218,202,218,246,244,246,255,204,198,204,216,215,179,122,82,133,235,223,223,223,220,217,184,193,203,209,208,244,232,215,241,249,219,182,255,213,190,203,180,170,195,149,76,146,242,226,227,225,224,222,187,196,205,212,212,245,251,210,233,235,232,175,206,235,150,125,120,182,212,164,100,191,242,231,231,228,228,226,192,201,208,215,215,248,255,175,213,213,189,184,181,228,156,85,77,234,231,186,116,177,249,234,236,232,230,229,195,205,212,218,219,248,255,188,153,206,161,163,174,206,192,132,93,211,255,205,135,114,240,241,239,236,233,231,197,207,214,220,222,246,255,221,142,162,182,157,192,215,203,136,218,250,248,213,150,94,202,255,241,239,237,236,201,209,216,223,225,244,255,238,169,137,193,159,228,249,211,205,255,254,215,179,145,103,201,255,244,243,240,237,203,211,219,227,230,246,255,248,197,145,161,173,223,255,255,255,255,228,201,155,128,114,238,253,247,249,254,252,206,215,221,229,232,249,255,255,218,169,155,177,213,255,255,255,253,212,177,146,99,157,255,255,255,241,189,130,207,216,224,231,234,249,255,255,230,194,171,180,202,255,255,255,235,197,162,128,96,225,238,182,140,90,60,56,208,218,226,232,236,248,255,255,242,208,197,179,197,246,255,252,216,178,149,118,98,122,76,56,59,68,68,65,210,220,227,233,238,244,255,255,253,218,220,184,183,225,255,245,204,165,140,108,76,49,54,59,53,71,73,58,211,221,228,235,241,242,253,255,255,229,223,195,174,217,235,235,193,154,131,101,63,50,49,67,47,54,72,70,212,221,228,235,241,245,245,255,254,236,218,194,153,206,211,218,175,140,120,77,60,52,34,58,62,45,55,66,210,220,227,233,240,247,237,255,255,237,214,185,151,172,205,187,161,130,108,41,41,68,39,40,65,55,42,53,212,221,228,234,239,247,239,254,255,246,216,186,156,152,190,175,148,122,90,28,22,56,60,35,49,61,48,46,213,221,228,234,239,246,242,254,255,236,203,184,154,149,166,164,138,105,72,51,12,36,64,49,33,56,57,44,215,223,230,235,239,250,231,255,255,203,204,191,162,147,150,158,135,78,50,66,20,20,52,61,40,41,55,50,207,216,224,232,236,253,176,254,255,214,225,203,170,142,145,151,125,50,31,67,35,9,38,60,52,40,44,54
3,116,118,121,123,124,126,128,129,129,129,129,129,128,128,128,127,125,124,125,122,121,121,120,118,117,116,113,112,118,121,123,124,127,129,130,131,132,132,132,130,130,130,129,128,134,126,109,127,123,123,122,121,118,117,116,114,119,123,125,127,130,131,132,133,133,133,134,133,133,132,132,128,148,128,68,121,127,124,123,123,121,119,117,116,121,124,127,129,131,133,134,135,135,135,134,134,135,134,134,130,147,127,62,106,132,126,125,124,122,121,119,117,123,126,129,131,133,134,136,137,137,136,136,136,136,136,136,131,145,129,66,102,136,127,128,127,125,122,121,119,124,127,129,132,134,136,137,140,140,138,138,138,139,137,136,133,147,151,83,93,136,130,129,127,126,124,122,120,126,129,131,133,136,138,140,141,141,141,140,140,141,139,139,134,150,158,86,80,136,131,130,129,128,125,123,122,127,130,133,136,139,141,141,142,143,143,143,143,142,141,141,137,152,152,81,74,136,132,132,131,129,127,125,123,129,132,135,138,140,142,143,144,144,144,144,143,143,143,143,137,159,158,88,75,138,134,133,132,130,127,126,124,131,134,137,140,142,144,145,146,146,147,146,146,144,144,142,140,136,130,86,72,137,136,135,134,132,129,127,126,133,137,140,142,143,146,147,148,149,148,148,147,146,143,153,157,95,63,54,67,143,136,137,135,133,130,129,127,134,138,142,144,146,148,150,150,151,150,150,152,157,145,106,115,138,95,40,88,152,142,138,136,135,132,130,128,136,141,143,145,148,150,152,152,154,151,154,126,141,145,85,61,159,103,70,72,101,119,140,137,135,134,131,129,137,142,145,148,149,151,153,155,154,158,165,115,75,130,114,71,124,106,86,70,92,74,116,144,135,134,133,130,140,144,146,149,151,153,154,155,157,175,161,143,93,103,126,67,85,120,106,85,97,59,100,148,137,137,133,132,142,145,148,150,152,154,157,154,169,162,155,152,102,79,112,65,82,91,69,86,80,49,96,150,139,138,135,133,142,147,149,153,154,155,158,156,180,168,134,138,104,63,94,63,85,133,58,98,107,54,87,152,140,140,137,135,143,148,150,154,155,157,159,159,167,151,120,127,84,50,92,49,82,164,71,79,118,58,65,150,141,141,138,136,144,148,152,154,156,159,160,160,165,171,150,125,80,69,88,64,61,117,77,83,95,53,60,148,143,142,140,138,145,150,152,154,158,159,161,161,172,176,163,127,83,70,97,85,117,149,117,101,71,40,101,155,144,144,142,140,144,150,153,155,159,159,162,161,170,179,170,132,96,78,84,134,156,134,99,81,66,47,145,149,146,145,143,142,143,149,153,156,159,160,161,162,166,177,165,129,125,87,107,168,143,109,89,77,57,85,158,145,146,144,142,141,144,150,155,156,160,162,163,163,167,170,160,140,130,101,102,138,128,99,85,67,49,134,154,147,147,144,141,139,145,151,155,158,160,163,163,173,89,131,163,142,128,107,83,101,98,82,68,50,108,160,150,149,146,145,147,148,146,150,154,158,159,161,166,157,40,53,134,139,128,90,66,65,69,70,51,105,161,152,156,158,158,151,125,85,149,155,158,161,163,164,177,107,39,41,49,87,94,58,57,53,58,44,39,158,164,160,141,111,98,71,36,21,110,111,114,115,115,116,115,60,45,42,35,32,39,57,55,40,37,19,0,57,93,65,32,14,9,8,14,20,82,82,83,83,82,83,65,46,52,37,36,32,30,19,12,12,8,4,0,8,14,6,10,11,16,16,8,12
23,140,142,144,148,149,152,155,156,157,158,159,160,161,161,162,163,162,163,161,161,162,161,160,160,160,160,158,156,140,142,144,148,150,153,154,156,158,159,160,162,161,163,163,163,163,164,163,163,162,161,161,161,161,161,160,158,141,143,145,147,150,154,155,157,158,160,161,163,163,164,165,164,164,163,164,164,164,163,163,162,162,161,161,160,143,143,147,150,152,154,157,158,159,160,163,162,162,162,159,166,167,165,165,165,166,165,164,164,162,162,162,161,144,143,148,151,154,155,158,160,161,159,160,167,177,174,146,127,158,167,167,167,166,166,165,164,163,162,163,162,143,144,149,152,154,156,158,160,159,166,183,180,177,168,155,144,144,127,167,168,166,166,166,166,165,164,163,163,145,145,148,151,154,157,159,162,159,179,179,146,148,123,127,140,121,127,169,167,167,167,167,166,165,164,164,164,145,146,149,153,155,159,160,163,162,178,163,138,97,129,167,162,159,170,169,168,168,168,168,167,167,167,166,164,144,147,150,153,156,160,162,164,162,180,165,152,89,145,176,173,174,171,171,171,170,170,168,167,168,167,166,165,146,147,151,154,158,159,162,164,163,182,167,153,107,154,174,134,165,172,171,171,170,170,169,169,169,168,168,166,147,149,152,154,158,160,162,166,164,186,174,178,189,190,179,100,133,181,170,171,171,172,171,171,170,169,169,168,148,150,153,155,158,161,163,163,167,191,197,198,183,175,141,101,121,182,175,173,173,173,172,171,171,170,170,170,147,150,154,156,159,162,163,174,185,190,194,187,180,171,104,124,145,120,162,174,176,174,174,174,172,171,172,170,148,150,154,157,160,161,186,193,187,191,194,189,178,152,96,116,144,90,93,115,144,179,174,174,173,173,172,171,149,151,154,159,161,164,194,181,176,181,181,169,172,133,91,90,119,102,95,104,101,169,178,175,174,175,173,171,149,151,156,160,160,168,191,177,185,194,188,182,166,127,99,85,91,105,102,110,107,164,180,175,176,175,174,174,148,152,156,160,161,161,199,198,197,191,174,159,141,113,105,97,69,86,104,109,110,167,180,176,177,176,175,174,149,152,156,160,163,161,200,197,177,148,123,116,107,110,113,89,55,83,107,113,115,172,180,177,178,177,176,176,151,152,156,160,163,160,191,179,159,126,108,79,89,121,112,77,77,93,107,114,114,174,181,179,178,178,177,177,150,153,157,161,164,160,182,180,150,113,95,73,106,99,79,77,93,102,102,112,120,180,180,180,180,179,178,177,151,154,158,162,167,157,181,178,144,119,105,86,71,64,80,91,102,109,107,110,156,185,180,180,181,181,178,177,151,154,158,161,167,156,178,178,150,127,108,103,81,77,101,111,116,118,108,135,187,181,182,182,181,181,179,178,150,153,159,161,168,153,177,182,154,130,113,111,98,89,112,119,120,120,109,154,190,183,184,183,183,182,181,180,151,154,159,162,168,154,171,180,152,134,117,113,104,93,112,119,119,116,114,172,186,183,184,184,183,182,182,181,152,154,160,163,168,157,168,177,149,135,119,114,107,99,111,116,121,111,137,189,184,184,184,185,184,182,181,181,151,155,160,163,169,162,167,173,149,133,118,111,109,107,113,117,114,126,178,187,186,185,185,185,184,184,182,181,152,155,160,164,169,164,167,169,142,126,114,112,113,111,111,115,128,180,189,187,187,187,186,186,185,184,183,182,152,154,160,163,168,164,170,172,140,124,115,114,113,114,114,112,166,190,185,187,187,187,187,186,185,184,183,182
12,176,177,177,178,178,178,178,178,179,179,179,179,180,179,179,179,179,179,179,179,179,179,178,178,176,176,175,174,178,179,179,179,179,179,180,180,181,181,181,182,181,181,181,180,180,180,181,181,180,180,180,179,178,178,177,176,180,180,181,181,181,182,183,182,183,183,184,184,184,183,183,182,182,182,183,183,182,182,181,181,180,179,178,177,182,182,183,184,183,184,184,184,185,185,185,186,185,184,185,185,184,184,184,184,184,183,183,182,181,180,180,179,184,184,185,186,185,186,186,186,187,186,180,180,187,181,177,183,186,186,186,186,186,186,185,184,183,183,183,182,186,187,187,187,187,188,188,189,199,198,174,156,181,182,158,164,185,186,187,187,187,188,188,187,186,185,185,184,188,188,189,189,189,189,190,194,216,218,188,146,161,194,165,146,169,171,169,182,189,190,190,189,188,187,187,186,189,189,190,191,191,191,191,197,219,224,202,156,142,189,180,145,132,144,136,154,188,192,191,190,190,189,188,188,190,191,193,193,193,193,193,198,214,214,208,173,138,164,177,144,106,112,115,120,177,193,193,192,192,191,190,190,192,193,194,194,194,196,197,188,192,192,198,183,145,126,144,125,89,90,100,107,172,194,195,194,194,193,192,192,193,194,195,196,197,208,206,166,147,156,165,161,128,101,113,116,107,127,110,110,176,196,196,196,195,194,194,194,194,195,196,199,212,220,200,154,126,126,124,134,130,120,141,164,167,155,113,118,185,198,199,198,196,195,195,195,195,196,197,207,218,209,195,162,125,99,94,104,123,136,161,197,208,184,134,133,189,200,200,199,198,198,197,196,196,197,200,214,207,192,196,174,134,96,88,92,95,108,145,198,216,207,169,142,166,196,201,200,199,199,198,198,196,197,206,216,200,178,188,181,153,109,89,97,105,125,165,196,203,191,172,151,137,180,201,201,200,200,200,199,197,198,211,222,203,172,164,184,176,132,98,105,135,172,198,199,192,169,155,148,127,170,202,202,202,201,201,200,199,200,211,228,216,186,156,163,172,161,124,131,184,206,203,195,182,157,134,124,123,180,203,203,202,202,201,201,200,200,210,230,225,200,171,159,153,151,151,185,218,214,199,186,169,146,119,103,135,194,205,205,203,203,202,202,200,200,209,226,228,213,189,174,159,147,175,215,223,213,188,169,153,137,108,102,161,203,206,206,204,204,203,203,200,201,205,220,228,223,204,187,171,161,177,213,216,202,174,151,142,129,102,120,187,207,206,206,205,205,204,204,199,200,199,212,229,226,210,193,178,171,176,205,205,184,159,139,139,120,99,148,202,208,206,206,206,206,206,205,199,200,197,201,223,218,203,191,181,176,177,192,189,165,145,137,134,109,108,176,207,208,206,206,206,206,206,206,200,201,199,198,216,209,195,188,184,178,174,180,177,159,139,132,121,101,135,196,207,207,207,206,206,206,205,204,201,201,201,201,215,209,199,196,190,180,172,177,177,156,128,116,105,115,175,206,208,207,207,207,206,206,205,204,201,201,201,201,216,214,207,203,193,184,170,176,175,142,113,102,105,156,201,209,209,208,208,207,207,206,206,205,201,202,202,201,217,219,213,209,197,189,168,170,164,132,105,96,132,194,209,209,209,208,209,208,207,207,207,206,200,201,202,199,214,224,217,212,200,189,164,159,156,128,100,102,170,207,210,209,209,209,209,209,208,207,207,207,198,200,201,199,212,225,215,208,198,185,159,151,152,125,95,116,190,210,210,209,209,209,209,208,208,207,208,208
24,183,185,186,187,188,188,189,190,189,189,190,189,189,188,188,187,185,183,182,182,181,179,177,177,173,172,171,169,184,187,188,189,190,191,190,191,192,192,192,190,190,189,188,189,187,186,185,183,182,181,178,178,175,174,172,171,186,188,190,191,192,192,193,193,194,194,194,193,192,190,190,190,188,188,187,185,183,182,181,179,177,175,175,173,188,189,191,196,193,195,195,196,196,196,196,195,194,193,193,191,190,189,187,187,184,184,184,182,180,177,177,176,187,195,187,167,197,196,197,198,197,198,198,197,197,195,196,195,192,191,190,189,188,186,184,183,182,181,178,177,188,200,175,119,165,204,198,201,200,199,200,199,200,198,197,197,195,193,191,191,190,188,186,185,184,182,180,179,191,196,169,130,118,198,200,201,202,201,200,201,200,200,199,197,197,195,193,192,191,191,189,187,185,184,182,180,192,198,190,147,104,165,209,201,203,203,205,206,201,201,201,197,197,199,199,194,194,191,190,188,186,185,185,187,193,196,201,169,115,122,207,203,204,204,189,190,207,204,202,205,203,188,184,200,195,193,192,190,189,183,162,149,195,197,201,192,149,108,167,213,204,193,155,125,181,192,152,151,187,162,123,162,202,193,192,193,183,164,131,127,196,198,200,204,174,120,113,205,206,180,170,146,123,155,134,101,127,159,120,97,189,199,195,185,172,146,116,179,197,199,200,205,191,138,109,164,214,174,186,166,128,121,140,110,131,159,124,93,181,204,186,162,160,115,134,194,198,200,202,204,205,177,142,126,195,160,176,179,143,107,137,121,139,162,123,102,195,203,150,142,144,96,166,194,199,202,204,205,207,202,153,127,155,156,147,183,151,120,111,111,134,161,116,123,213,179,128,146,124,113,193,189,201,203,204,207,208,210,176,168,156,145,129,159,161,123,96,92,105,126,99,108,205,140,130,147,105,166,199,189,201,204,206,208,209,210,206,187,156,126,110,111,160,139,119,85,77,95,86,82,122,123,139,128,112,197,193,191,202,205,207,209,210,210,213,187,139,124,116,105,140,169,155,99,61,95,104,124,130,136,142,107,147,204,192,191,203,204,209,210,210,212,214,192,169,151,120,110,133,166,143,105,91,117,147,152,150,133,125,98,183,201,196,194,203,205,209,210,211,214,212,206,188,157,120,114,129,157,143,149,143,142,154,150,145,125,91,124,205,197,197,196,204,207,210,210,212,216,213,203,197,169,142,122,110,150,184,180,175,163,157,148,137,107,94,193,202,198,198,197,204,207,211,211,213,215,216,201,197,176,153,124,115,144,190,188,184,169,154,142,128,83,162,211,199,200,198,197,204,208,211,211,215,216,218,202,186,173,160,131,127,153,184,180,172,160,145,134,102,116,210,202,203,201,198,197,206,209,211,212,214,215,218,207,179,177,167,142,132,154,172,170,167,149,131,116,88,186,209,203,204,202,199,198,207,209,210,213,215,216,216,218,194,177,167,149,125,140,161,160,156,135,119,84,151,215,203,205,202,201,200,199,206,210,210,213,216,216,215,219,210,187,167,146,120,127,145,144,136,118,87,135,216,207,207,205,203,202,200,199,206,209,211,213,217,217,217,219,214,186,163,138,128,129,139,136,121,92,106,218,210,208,208,206,204,203,201,199,206,209,212,215,216,217,218,217,212,190,166,154,148,142,142,137,111,79,173,220,209,209,207,206,205,203,201,198,205,208,211,212,214,216,219,212,207,199,183,164,146,150,146,127,96,102,212,211,210,209,207,206,204,203,200,198
17,148,148,151,152,154,156,158,158,159,160,162,164,164,164,165,167,167,169,170,169,170,171,171,170,171,172,171,172,147,148,151,152,154,158,159,159,160,162,163,164,165,165,166,168,169,171,172,174,172,175,173,172,173,172,172,173,147,150,151,154,157,158,159,160,161,163,163,166,167,167,167,169,170,172,164,158,169,146,168,174,174,173,174,174,149,150,152,155,158,159,160,162,162,164,165,166,166,168,169,171,170,174,168,125,119,104,135,182,174,174,174,174,149,151,154,156,158,160,162,163,164,165,168,169,169,169,172,173,171,175,188,146,94,84,139,183,174,176,176,175,150,152,154,158,159,161,164,163,165,167,167,168,170,170,171,173,173,173,192,156,109,70,153,182,174,177,176,176,151,152,156,157,159,162,163,164,166,166,167,170,170,173,175,173,176,173,193,171,126,81,169,180,177,177,176,176,151,154,157,158,159,161,164,165,167,168,168,170,173,156,159,181,175,174,196,172,131,106,182,178,180,178,178,177,152,156,157,158,160,163,165,166,168,169,169,169,175,159,118,149,182,180,197,166,130,116,184,179,179,179,179,178,152,155,158,159,161,162,164,167,167,166,166,169,182,165,143,123,152,176,194,167,127,111,183,180,180,180,179,179,153,156,159,159,161,164,166,164,172,176,146,127,169,183,180,175,133,102,157,163,133,113,182,181,182,181,180,179,154,156,157,160,164,165,167,166,185,187,143,115,159,167,191,186,161,104,104,141,125,110,181,181,181,180,180,180,153,157,159,162,164,165,166,173,176,159,171,140,145,122,145,199,181,133,88,113,112,104,180,182,182,181,180,180,155,158,159,162,163,165,166,176,187,139,135,126,93,80,85,202,194,155,96,92,97,96,179,183,183,182,181,181,156,158,160,162,164,166,165,183,171,131,116,128,99,98,96,186,206,169,114,87,95,91,175,185,182,183,183,183,156,158,161,164,165,167,165,186,180,160,145,135,114,133,120,168,214,171,131,90,94,91,168,187,182,184,183,183,157,159,162,164,165,166,168,194,171,145,140,131,125,148,151,187,194,173,142,95,86,88,170,187,183,184,184,184,156,159,162,164,166,167,176,190,154,137,132,131,142,145,200,209,172,161,141,94,81,82,172,188,184,184,184,184,156,159,161,165,169,166,183,193,160,146,133,136,142,175,217,202,174,151,132,94,77,83,176,187,186,185,184,184,157,159,162,165,169,166,188,196,165,152,132,139,150,205,203,193,170,146,126,92,77,95,189,184,185,185,184,184,157,160,164,165,169,164,194,194,169,161,140,141,173,216,198,190,162,133,121,90,73,125,194,183,184,185,185,185,157,160,164,168,169,163,202,194,173,167,155,142,186,212,189,187,164,125,112,88,77,166,189,184,186,185,184,184,158,161,165,167,171,165,204,200,177,178,167,148,185,203,183,178,163,125,105,79,102,192,184,186,186,185,185,185,158,162,166,167,169,165,198,205,182,182,171,159,171,198,179,177,154,122,99,74,147,193,184,186,185,185,186,185,157,162,166,168,170,166,188,209,187,176,166,168,166,187,173,181,159,116,96,78,170,191,185,186,186,186,186,186,159,163,165,166,170,169,182,207,183,174,161,165,170,177,167,183,162,116,93,86,183,188,187,188,188,187,187,186,159,162,164,167,170,168,184,201,180,173,161,161,168,175,164,182,152,116,90,115,195,186,187,188,188,187,186,186,158,161,164,167,171,168,187,202,190,175,166,168,173,174,160,177,138,109,85,156,194,186,188,188,187,187,186,186
4,114,120,125,127,129,133,135,137,139,140,142,145,146,148,150,151,151,151,153,156,155,156,158,158,158,158,158,159,115,120,125,128,130,132,135,138,139,141,142,144,147,150,149,149,153,155,154,154,158,157,158,159,159,159,159,160,117,121,125,128,132,134,136,138,139,142,143,146,144,150,153,153,150,144,153,157,155,161,160,159,160,160,160,160,118,123,126,129,132,135,138,139,141,142,140,150,159,144,138,171,153,111,95,140,127,120,161,161,161,161,162,162,118,123,126,130,133,136,139,138,141,157,139,130,152,150,103,141,146,107,68,98,122,84,117,169,160,163,163,163,117,123,126,129,134,137,140,136,159,181,160,134,103,111,96,117,143,97,63,122,123,87,79,167,164,164,165,164,118,124,128,130,134,137,139,139,178,152,162,127,96,72,78,127,157,93,103,139,104,68,67,161,165,163,165,165,121,124,128,131,134,138,135,151,168,127,157,104,77,75,73,104,135,131,149,129,109,59,79,167,164,165,166,166,120,125,129,132,136,139,134,164,164,136,149,106,72,89,102,105,132,147,130,136,130,99,97,174,165,167,168,168,118,125,130,133,135,139,138,176,156,141,135,118,58,107,156,136,134,129,115,154,141,130,108,158,169,166,169,170,120,126,130,133,136,138,147,173,136,116,106,89,51,71,126,118,118,90,98,161,155,148,120,105,168,170,170,170,120,126,131,134,139,134,163,172,138,117,102,78,60,53,63,76,77,87,123,144,157,150,135,99,119,176,169,171,121,126,131,135,140,137,180,167,141,128,108,89,72,63,64,71,110,163,158,146,143,128,127,118,84,155,175,170,122,128,131,136,136,144,189,166,152,132,104,89,77,71,106,151,174,173,154,142,130,109,109,112,83,142,179,171,123,128,132,136,133,160,194,169,151,125,107,103,82,107,162,174,173,171,152,136,120,101,93,95,91,166,173,172,123,128,133,137,134,173,196,169,144,126,122,110,103,151,164,167,171,163,146,127,111,95,89,79,134,179,171,173,123,128,132,138,133,179,193,163,148,144,135,117,137,158,164,166,162,153,135,117,104,91,80,97,172,171,174,175,124,129,133,139,135,182,193,170,160,153,138,131,153,160,167,162,148,139,123,109,98,87,75,151,178,171,175,176,125,129,134,138,134,175,193,177,167,153,137,128,147,159,158,152,138,128,115,100,93,75,112,180,172,173,176,177,125,130,134,138,135,166,191,174,166,153,134,121,138,148,147,140,127,119,106,93,83,83,165,177,174,174,176,176,126,131,135,139,138,156,186,166,152,143,128,127,138,147,146,135,118,109,97,86,73,147,179,175,176,177,176,177,127,131,136,140,140,154,178,151,146,139,133,139,132,138,139,128,114,102,92,71,124,179,174,175,176,178,177,177,127,131,134,141,139,152,175,150,153,146,152,150,129,127,133,120,104,98,76,98,175,173,176,176,177,178,177,178,128,131,136,140,141,161,175,162,156,153,149,141,124,114,125,112,97,90,74,156,176,174,177,177,178,178,178,178,128,132,136,136,165,179,156,151,162,156,142,130,118,107,113,105,96,73,109,180,172,176,176,177,178,178,178,178,128,133,133,149,182,172,175,121,128,157,134,122,115,101,101,98,94,65,125,182,173,176,177,177,178,178,179,180,129,134,136,176,174,171,175,173,108,111,124,119,107,88,97,92,89,66,131,182,173,176,178,179,179,179,179,180,130,128,160,182,166,174,173,172,174,101,91,111,98,86,93,87,85,64,136,181,174,177,177,179,180,180,180,181
4,182,182,181,181,181,181,180,180,178,175,175,173,174,176,173,172,172,166,165,165,163,163,162,163,160,156,153,153,183,183,183,183,183,182,181,181,181,178,178,180,180,178,173,169,171,174,165,165,165,164,164,163,160,159,155,154,186,186,186,184,184,183,183,183,182,181,166,148,153,171,175,139,101,128,177,171,172,171,163,163,162,159,156,156,188,188,186,185,185,184,185,185,184,185,173,163,145,118,119,137,124,73,129,155,122,141,169,163,164,161,159,157,188,187,186,188,187,188,186,186,176,175,170,161,155,146,92,63,112,117,72,66,76,47,126,173,161,162,161,159,190,189,189,189,188,189,187,182,165,165,149,109,56,122,102,32,67,115,74,30,66,53,61,175,162,163,163,160,191,191,190,191,190,190,188,183,183,168,154,121,49,73,104,40,44,89,51,28,83,78,39,151,169,164,163,161,190,191,190,190,189,189,191,183,128,89,124,145,72,66,114,100,80,78,37,42,93,80,36,146,173,163,162,161,193,192,192,191,191,191,189,192,146,70,23,155,123,85,113,138,139,84,80,81,80,106,57,143,172,164,162,162,193,193,194,192,192,192,193,181,123,60,0,73,124,65,69,91,126,93,84,88,81,97,50,96,181,165,164,162,194,193,195,196,193,191,194,167,118,95,80,39,40,53,39,31,60,100,88,81,77,73,60,55,176,167,165,164,196,195,196,197,195,192,194,172,154,127,81,44,27,49,45,51,39,57,75,68,64,88,84,36,147,175,167,165,197,197,197,197,195,194,195,180,156,113,73,39,36,45,51,76,66,37,19,75,127,120,95,41,106,180,165,164,198,198,200,199,198,195,195,182,138,94,58,33,35,49,76,80,79,77,91,104,124,127,109,68,66,178,166,163,200,200,200,199,199,195,195,181,145,113,71,42,49,61,76,95,93,117,148,148,118,149,137,88,43,165,170,165,202,200,201,201,200,198,194,188,159,121,80,46,45,61,93,111,119,130,148,159,149,126,119,82,27,152,174,165,200,200,201,201,202,199,194,181,163,132,94,50,45,68,96,116,136,146,158,152,135,121,88,57,31,166,173,167,199,200,201,201,203,200,191,175,171,146,109,71,50,52,93,130,145,163,166,149,123,103,78,22,81,185,168,168,201,201,201,201,203,202,189,168,172,153,117,89,64,49,96,146,159,171,162,140,111,93,59,18,154,178,170,169,200,200,200,201,202,202,188,163,161,150,121,94,72,60,96,158,160,161,148,125,99,81,32,74,189,171,172,171,201,201,202,203,203,205,190,160,155,154,135,102,82,72,108,159,153,146,132,108,86,65,21,148,183,174,172,170,201,202,204,204,204,205,195,158,157,158,141,109,96,78,117,152,146,139,117,88,73,31,61,189,177,177,174,171,202,203,204,203,203,205,203,170,161,164,147,120,99,74,113,144,138,128,102,71,54,16,148,188,179,178,175,172,203,205,204,203,205,205,206,177,172,169,145,126,104,76,99,134,123,107,78,60,13,85,196,179,179,178,175,173,203,204,203,206,206,206,203,185,179,163,145,132,112,86,90,110,100,80,61,28,37,183,184,180,179,177,174,174,205,205,206,205,205,206,203,188,180,160,142,125,108,94,82,90,86,65,44,7,151,193,182,181,180,178,176,174,206,206,206,205,205,206,196,186,174,160,148,138,124,114,91,81,78,59,14,83,199,183,184,181,179,178,177,175,206,206,207,206,206,206,185,185,176,163,150,147,128,117,96,78,69,42,20,163,194,187,184,182,180,178,176,174
8,95,104,109,114,120,125,129,133,135,139,142,144,146,147,148,149,150,150,150,151,151,151,150,150,151,150,149,149,99,106,112,119,125,130,134,135,142,144,147,149,150,151,152,152,152,153,153,153,153,152,152,152,151,150,150,149,105,112,116,124,131,136,139,160,132,148,153,155,156,157,158,157,156,157,159,158,157,157,156,155,154,153,153,151,108,117,120,127,136,139,146,184,103,134,165,160,162,162,163,164,163,162,163,163,162,160,160,159,158,158,157,155,111,119,123,131,139,143,155,199,99,120,173,165,168,169,169,169,170,169,167,167,170,168,164,165,164,164,163,160,116,123,127,135,144,147,160,207,97,117,180,171,174,175,177,175,173,176,178,177,161,167,174,170,170,169,168,165,120,126,131,140,148,152,161,204,105,117,184,176,178,176,174,182,196,136,135,206,158,108,168,179,175,175,174,171,124,129,136,144,151,157,166,211,120,108,187,179,190,196,133,166,208,145,97,167,173,115,116,187,180,181,179,176,127,132,141,149,157,161,171,214,143,114,181,183,218,229,199,185,161,154,166,191,132,86,88,168,189,184,183,182,129,135,144,154,162,166,171,214,173,147,171,205,217,218,223,174,158,163,172,173,139,87,47,142,199,186,187,185,133,139,148,157,165,171,172,209,181,171,195,210,183,158,229,179,151,165,142,127,153,113,50,154,201,189,190,188,136,141,151,161,167,176,175,205,202,178,199,206,188,125,167,202,117,91,83,138,173,130,77,177,201,195,194,191,139,145,154,165,172,179,178,205,223,155,186,178,168,148,133,193,126,55,41,183,195,153,86,138,210,196,197,195,142,147,157,168,174,181,182,204,232,151,134,173,129,132,128,168,153,106,46,155,221,175,108,79,200,204,200,198,144,149,161,170,176,183,187,201,230,187,108,133,135,118,139,163,170,108,154,215,203,177,120,62,164,215,202,202,144,152,164,173,181,187,190,201,237,211,141,101,154,123,165,208,173,151,216,221,180,138,113,71,165,218,205,204,147,155,166,174,182,188,194,199,238,220,169,114,121,135,173,221,207,229,227,195,167,124,91,80,200,214,208,211,151,156,169,178,183,189,196,201,237,231,194,144,112,136,162,223,224,233,222,186,146,113,68,119,234,224,220,199,150,157,170,179,186,192,197,202,234,237,207,165,133,140,154,212,231,228,205,170,132,102,62,179,199,144,103,58,151,158,171,180,188,193,199,201,228,236,217,178,160,148,149,191,227,223,191,152,119,91,65,85,48,27,30,37,152,160,172,182,189,195,201,203,221,230,224,191,176,168,136,172,206,214,183,138,112,83,48,19,27,30,26,39,153,162,174,183,191,196,202,206,211,226,225,203,183,180,132,165,183,203,169,128,101,76,35,19,21,37,18,25,153,162,175,184,191,196,203,208,205,218,222,206,189,173,133,135,176,174,155,113,91,57,33,21,6,29,33,16,151,161,174,184,189,195,201,207,208,204,221,208,191,166,135,112,159,156,137,105,84,27,14,37,8,11,34,25,153,163,175,184,190,195,201,206,213,201,227,221,195,167,137,110,132,149,122,98,68,3,0,29,28,4,20,30,154,164,176,184,191,197,202,208,212,204,223,217,185,158,138,112,119,131,114,84,52,16,0,8,33,19,5,26,154,164,177,185,192,197,202,207,214,195,227,195,164,164,147,120,110,118,115,71,28,35,0,0,24,32,10,13,150,160,170,178,186,193,200,207,205,158,240,198,177,184,158,121,104,110,110,54,5,35,4,0,11,32,22,12
19,108,115,121,127,131,133,135,138,142,145,148,151,153,155,158,159,160,161,163,165,166,167,168,168,168,169,169,169,109,116,123,129,131,134,137,139,144,147,150,153,156,158,159,160,163,164,165,166,169,169,169,169,168,171,170,170,111,118,125,130,133,135,138,142,146,149,153,154,157,159,159,162,164,166,167,168,169,170,176,161,168,171,171,171,113,120,126,131,135,137,139,144,148,150,164,158,139,148,163,164,165,168,169,170,170,184,185,120,155,172,172,172,114,121,128,133,136,138,142,146,150,152,190,166,128,112,157,166,166,169,177,180,186,181,135,109,163,174,174,173,115,122,130,135,137,139,143,148,151,152,184,179,141,129,164,177,170,173,184,180,161,127,108,151,175,176,175,175,116,123,131,137,138,142,151,143,145,153,171,180,172,173,172,170,161,149,157,142,114,122,157,177,176,177,177,177,118,125,132,137,138,173,177,150,142,147,161,167,160,149,143,144,133,115,117,122,148,174,178,178,178,178,178,179,119,126,134,137,147,189,162,149,152,160,167,166,157,146,138,122,119,104,158,173,179,179,180,179,179,180,180,180,119,127,135,135,159,176,144,141,149,162,165,163,160,151,130,97,90,117,181,181,180,181,181,180,181,181,182,182,120,127,135,138,180,180,156,153,158,155,147,143,139,119,105,87,79,139,183,182,182,182,182,181,183,183,183,183,122,129,136,146,207,190,170,165,165,160,157,150,130,89,85,84,83,158,184,183,183,183,183,183,185,184,184,183,124,130,136,151,202,186,164,149,141,148,149,142,118,86,81,86,94,169,183,184,186,186,186,185,185,185,186,185,124,132,137,148,187,179,152,128,109,103,114,117,114,89,84,86,115,181,184,185,186,187,187,187,187,187,187,186,125,133,138,146,179,178,150,107,88,64,71,110,118,93,87,87,113,183,185,186,187,187,188,189,189,189,188,187,127,135,141,144,178,180,151,112,81,57,92,115,110,85,82,82,97,176,187,187,188,189,190,190,190,190,190,190,127,135,142,141,179,180,152,122,96,71,71,74,70,68,76,84,94,172,189,189,189,190,190,190,190,191,190,190,127,136,142,140,184,182,154,127,102,88,79,65,65,73,79,85,97,174,189,189,190,191,191,190,191,191,190,190,129,137,142,138,182,180,153,125,104,95,92,77,71,75,81,84,106,181,188,190,192,193,193,192,192,193,192,192,130,137,142,137,174,173,149,123,103,95,91,80,74,79,84,87,129,189,189,192,193,193,193,193,194,194,193,193,131,137,143,140,172,167,144,118,101,94,91,82,79,84,87,92,160,191,191,193,193,194,195,195,195,195,195,195,132,139,144,148,176,164,139,114,99,93,93,88,85,87,88,120,184,190,192,194,194,195,195,195,195,195,195,195,132,140,143,154,179,162,135,111,98,95,95,91,87,90,128,176,189,191,193,194,194,195,196,195,195,195,196,196,133,141,143,159,173,158,136,116,101,96,95,91,85,121,180,188,190,192,194,195,195,196,196,196,197,197,197,197,134,141,145,166,168,150,132,116,100,90,87,86,88,156,187,189,192,193,194,196,197,197,197,197,198,199,198,198,134,141,149,180,165,146,124,108,96,84,81,82,97,170,188,191,193,194,195,197,197,198,199,199,199,199,199,199,134,140,154,183,168,150,130,117,112,89,80,79,107,178,187,191,192,194,195,196,197,198,199,199,199,199,200,200,135,143,152,174,170,153,136,127,119,90,80,78,110,180,186,188,191,193,195,196,196,197,198,198,199,199,199,200
4,90,103,116,123,129,133,137,140,142,145,148,151,153,155,158,159,162,161,164,166,166,166,167,167,167,168,168,169,91,106,118,125,130,134,138,141,144,147,151,152,154,157,158,161,159,161,165,166,168,169,169,169,170,170,170,170,93,108,118,125,131,136,140,143,145,147,150,154,149,153,162,167,142,130,159,157,155,167,170,171,172,172,172,171,95,110,120,127,132,136,141,145,146,147,157,178,155,138,160,177,135,96,126,140,103,122,171,173,173,173,174,174,96,112,122,128,133,137,142,147,153,160,141,156,177,136,122,165,121,86,88,121,100,80,161,174,174,175,176,176,97,114,123,130,134,138,142,146,177,171,149,127,135,120,97,137,108,79,88,123,98,68,157,176,176,176,177,177,100,115,123,130,135,139,143,155,187,183,158,133,91,91,87,149,119,74,126,126,87,68,169,176,176,178,178,178,102,116,124,131,136,139,144,172,163,156,150,113,80,74,80,151,126,111,146,111,67,84,178,179,178,180,181,180,104,117,126,132,137,141,144,183,149,138,140,90,66,79,63,109,133,161,146,126,92,104,182,181,180,181,181,181,108,119,126,133,138,142,149,189,158,148,129,93,55,102,117,136,147,150,132,136,120,110,175,181,181,182,182,182,109,120,125,133,140,144,161,183,148,127,117,92,46,124,138,133,130,117,131,150,136,117,128,179,182,185,185,184,112,121,127,135,139,142,173,172,138,112,95,65,45,64,101,104,100,79,133,158,155,136,105,143,184,185,187,187,111,122,128,135,141,144,194,176,145,121,101,79,59,55,63,71,93,129,137,156,161,143,115,95,170,186,187,187,114,122,128,136,141,149,204,175,150,132,102,81,69,81,109,138,166,176,166,157,145,135,121,96,137,187,188,188,117,123,129,137,142,158,209,183,162,135,102,94,84,118,158,178,187,183,164,148,127,114,112,94,143,188,189,189,118,123,129,137,141,171,208,185,160,127,107,104,99,153,180,190,191,186,160,136,113,97,95,102,177,188,190,190,118,123,130,138,142,176,206,182,152,128,120,111,124,170,181,188,188,174,147,125,105,89,88,150,189,190,191,190,119,123,130,138,142,178,202,177,155,143,137,126,148,173,180,183,177,156,135,114,98,84,112,186,191,191,193,193,120,124,131,138,143,175,197,181,171,160,147,140,163,172,177,171,158,143,121,105,91,88,170,192,192,193,194,195,120,125,132,139,143,165,198,188,179,162,144,139,158,165,164,153,139,127,109,95,86,136,191,193,192,194,195,195,121,126,133,140,144,156,196,183,173,159,138,126,141,150,150,140,125,113,99,88,106,184,192,193,193,194,195,195,121,127,134,140,146,152,193,174,161,149,132,126,134,144,142,128,111,102,90,88,165,191,193,194,195,196,196,196,121,127,134,141,146,150,186,163,149,140,127,132,129,137,138,122,105,94,81,141,190,193,194,195,196,196,197,197,122,127,135,141,147,161,185,162,153,147,147,147,129,123,126,110,96,85,106,184,193,194,196,196,197,197,197,197,122,128,136,142,152,191,171,159,156,151,148,139,122,113,115,103,90,78,159,190,193,195,196,196,197,197,197,198,123,129,136,142,185,192,188,128,136,151,141,128,117,104,103,96,87,75,176,191,194,195,196,196,197,198,198,200,123,130,137,157,198,191,190,174,95,122,127,118,110,93,95,89,81,75,180,191,194,195,197,197,197,199,199,200,123,130,137,191,190,190,189,190,152,77,100,110,100,81,88,85,78,74,180,193,195,196,197,199,199,200,200,201
20,141,143,145,146,149,152,154,156,157,158,160,161,163,163,164,164,164,166,167,167,168,168,168,168,168,168,169,169,142,144,146,148,151,153,155,157,158,159,160,162,163,164,165,154,155,163,166,168,169,170,170,170,170,170,170,170,143,145,147,150,152,154,156,158,159,160,162,164,165,167,170,144,136,147,151,168,172,172,172,172,171,171,172,171,144,147,149,151,153,155,158,159,160,162,164,166,166,169,176,147,145,145,129,162,173,173,173,172,172,172,173,172,145,147,149,152,154,156,159,160,161,163,166,167,167,171,177,151,156,153,125,157,174,174,174,174,174,174,174,173,146,148,150,153,155,158,160,161,163,165,166,167,167,176,184,159,163,158,128,157,175,176,176,176,176,175,175,175,147,149,151,154,156,158,161,163,165,165,166,167,169,180,183,160,171,162,131,156,176,177,177,177,176,177,176,176,147,150,152,155,157,159,161,164,166,166,160,158,168,181,173,155,173,160,127,153,178,178,178,177,177,177,177,176,148,150,153,155,158,161,163,164,167,168,155,133,148,177,164,149,173,154,124,154,179,180,179,178,178,178,177,176,149,151,154,157,159,162,164,164,165,169,158,133,126,152,148,143,169,150,125,160,180,181,181,179,179,179,178,177,150,151,154,158,160,162,166,169,156,155,163,155,142,127,117,124,152,143,125,163,180,181,181,180,180,180,179,179,150,152,155,158,160,162,171,176,154,138,158,168,162,133,102,100,128,129,121,164,181,182,182,181,181,181,180,180,151,153,156,158,160,163,172,167,157,137,124,141,166,155,118,98,110,111,116,166,182,183,183,183,182,181,181,181,152,153,157,160,161,164,173,157,138,121,90,100,155,173,143,105,98,100,111,165,183,183,184,184,183,182,182,181,152,153,157,160,162,165,173,156,133,118,95,99,142,182,163,121,95,94,108,165,184,184,184,183,183,182,182,182,152,153,157,160,162,166,180,171,147,125,108,113,138,184,177,139,102,88,103,164,184,184,184,183,182,182,182,181,153,154,157,161,163,168,185,170,142,124,118,127,152,189,180,149,110,84,98,163,185,185,185,184,183,182,182,182,153,155,158,161,164,170,185,169,143,132,131,140,179,199,175,148,114,85,99,165,186,186,186,185,184,183,183,183,154,156,159,162,164,172,189,174,151,140,141,155,197,201,174,145,116,88,103,169,186,186,186,185,184,184,184,183,155,157,159,163,165,172,192,180,158,144,150,171,201,195,174,145,117,90,111,174,186,186,186,185,184,185,185,184,155,157,160,163,166,172,193,185,165,152,155,180,199,186,169,141,114,90,119,178,186,186,186,185,185,185,185,184,155,157,160,164,166,171,192,188,172,166,160,181,195,182,166,141,111,90,125,180,186,186,186,186,185,186,185,185,154,157,160,164,166,170,186,191,182,179,169,176,187,176,162,140,109,89,127,181,187,187,187,187,186,186,186,185,154,157,161,164,166,168,179,191,188,183,173,171,178,170,160,141,109,91,131,182,187,187,187,187,187,187,186,186,154,157,161,164,166,168,174,188,187,177,167,166,171,165,160,146,111,94,141,184,187,187,187,187,187,187,187,187,154,157,161,164,166,168,172,186,181,169,159,159,166,163,159,147,113,102,156,186,188,188,188,187,187,187,187,186,154,157,161,164,166,169,173,185,178,167,158,157,166,162,156,144,109,113,171,188,188,189,188,188,188,188,188,187,154,158,161,164,167,169,174,188,186,175,163,160,167,159,150,137,104,124,180,189,189,189,189,188,188,188,188,188
12,155,158,161,163,165,166,168,171,173,175,176,176,177,178,178,180,180,179,180,179,180,182,181,181,181,182,182,182,157,159,161,164,167,169,171,173,175,177,178,178,180,180,181,181,181,182,182,181,182,184,182,182,183,184,184,185,159,162,164,166,169,172,173,175,177,179,179,181,182,182,182,182,183,184,185,184,184,185,183,183,186,186,185,186,160,164,165,168,171,173,175,177,179,181,181,180,186,187,186,185,186,186,188,189,185,186,187,187,188,188,187,187,162,165,167,170,172,173,177,179,181,182,182,184,180,166,171,188,189,174,154,164,190,187,189,190,189,188,189,189,164,166,169,171,173,175,179,181,182,183,184,198,187,158,127,171,203,181,147,100,182,190,188,195,191,190,190,190,165,167,171,174,176,178,180,182,184,185,185,220,211,183,144,122,206,183,153,113,129,142,141,149,194,192,192,192,166,170,172,174,177,180,182,184,185,187,190,219,224,196,156,115,204,192,158,129,71,127,134,97,151,199,194,195,169,171,173,177,179,181,183,186,188,188,197,209,223,211,173,128,193,201,156,115,69,148,143,91,96,200,195,196,171,173,175,178,180,182,184,187,188,188,196,162,145,198,178,126,169,188,141,99,72,156,147,89,84,197,197,197,172,174,177,179,181,184,186,188,188,206,202,139,101,136,161,111,152,166,134,104,71,145,143,97,82,197,199,199,173,176,178,180,183,186,188,188,206,210,195,146,119,96,143,102,139,164,129,98,73,151,139,100,86,199,199,200,174,176,180,182,184,186,189,196,206,183,197,165,130,84,107,102,123,160,134,92,85,170,155,107,94,205,202,201,175,178,180,183,185,187,188,202,188,150,188,163,125,86,79,124,119,177,156,102,109,214,179,109,127,209,203,202,176,178,180,184,187,189,192,206,193,156,160,159,128,85,63,125,104,156,149,98,90,182,147,77,114,208,204,202,177,179,182,185,188,189,195,201,181,146,142,167,118,88,38,65,51,64,137,106,125,153,109,94,80,154,209,202,178,180,183,186,189,191,198,209,184,152,132,162,107,87,45,37,41,120,187,187,179,167,138,111,87,109,211,204,178,181,184,187,190,191,202,208,183,150,116,146,105,96,44,52,104,185,195,188,172,156,129,102,82,126,212,205,179,181,184,187,190,189,203,207,185,162,128,116,115,109,58,85,174,202,205,191,162,145,122,95,78,161,213,207,180,183,185,188,191,190,204,207,191,173,156,126,107,97,107,145,208,207,213,186,152,136,115,91,81,187,212,208,181,183,186,189,192,193,204,209,198,179,167,159,136,121,148,161,210,214,211,176,141,127,104,85,109,207,210,209,182,184,186,189,192,194,201,208,200,185,173,170,159,134,142,153,213,214,193,165,135,117,98,78,155,214,210,209,182,185,188,190,192,194,197,201,196,189,178,170,160,141,131,161,213,207,177,153,128,107,92,81,191,212,210,210,182,186,190,193,193,196,197,196,194,191,178,171,159,142,125,163,196,192,159,138,118,98,84,103,212,210,210,211,182,186,189,192,194,195,199,198,197,196,179,171,161,143,122,159,181,168,143,124,108,93,77,154,217,211,212,212,183,186,188,191,192,194,196,198,201,192,175,164,153,134,118,155,164,141,127,109,97,86,99,203,213,212,213,212,183,186,187,191,193,195,196,195,202,184,162,153,134,117,121,149,152,128,120,101,92,83,159,212,210,210,212,212,184,186,187,191,193,195,195,194,206,181,164,152,124,119,127,148,145,126,112,97,86,117,209,209,209,210,212,212
5,123,123,124,124,125,126,126,126,128,130,129,130,131,131,130,134,131,130,130,130,130,129,129,130,128,127,126,128,126,126,127,128,129,129,130,130,130,130,132,131,132,133,137,115,132,133,131,132,131,130,129,131,131,128,134,100,130,130,131,132,131,132,133,133,133,134,134,137,135,137,153,68,121,138,134,134,132,134,133,131,131,135,112,39,132,133,134,135,135,136,137,137,137,137,137,134,133,159,134,67,133,139,137,136,144,104,125,134,133,127,51,30,137,137,138,138,139,139,139,140,141,138,158,104,113,174,94,99,148,138,137,136,124,71,125,138,141,93,28,40,140,141,141,143,143,143,143,143,143,137,171,108,116,158,75,133,145,143,129,125,80,96,143,139,137,63,38,58,143,144,145,145,146,147,146,146,146,142,172,115,120,130,82,151,146,129,122,88,84,145,143,143,134,55,51,56,147,147,147,148,149,149,149,149,150,148,166,112,111,98,106,157,123,113,100,77,143,147,145,144,146,80,54,56,149,150,150,151,152,152,152,153,152,150,175,124,89,77,139,119,91,91,70,131,155,147,148,147,149,95,51,52,152,153,153,154,155,154,154,154,154,154,179,136,87,87,128,86,80,62,123,159,151,151,149,148,153,115,47,35,154,155,155,156,156,157,156,156,157,157,171,127,87,87,90,86,69,100,167,154,154,154,151,151,154,138,45,31,156,156,158,158,158,158,159,159,160,158,164,140,87,73,72,87,69,138,159,151,162,156,153,155,156,146,105,102,158,159,160,160,161,161,160,160,161,160,165,157,104,68,65,72,83,147,105,103,137,162,160,156,154,158,103,136,159,160,162,162,163,162,162,162,163,163,164,165,120,75,69,67,80,89,92,118,119,129,149,160,161,160,102,166,162,162,163,163,165,164,165,165,165,165,167,176,146,98,70,72,68,80,85,102,135,134,130,140,142,137,145,125,164,165,165,165,167,167,167,167,167,167,169,183,163,116,75,68,77,71,63,90,110,111,127,132,113,106,128,99,165,166,166,167,168,168,168,168,169,170,169,187,173,122,80,63,74,63,99,164,154,141,122,119,146,137,92,105,167,168,168,169,169,169,169,170,171,171,170,190,176,128,87,61,60,86,181,169,172,165,136,151,139,98,132,159,168,169,170,171,171,171,171,172,172,170,170,193,175,131,92,63,43,93,157,178,165,126,137,132,84,124,175,164,170,170,171,172,173,173,172,172,173,172,171,195,173,129,93,59,52,71,75,145,121,125,135,87,92,172,168,166,171,172,172,173,173,174,173,173,174,171,178,195,167,129,93,58,56,77,80,81,101,125,98,100,168,171,170,169,171,172,173,173,174,174,175,174,176,168,179,193,164,128,94,63,60,80,85,96,102,97,95,170,174,170,170,169,172,173,174,175,175,176,176,176,177,168,181,190,161,126,92,64,65,87,92,97,86,83,163,178,172,174,171,171,173,174,176,176,177,177,177,178,176,168,186,183,157,123,90,64,64,88,95,93,74,146,183,172,174,174,173,173,174,175,176,177,177,177,178,181,170,173,195,179,152,117,87,68,64,89,98,78,103,186,176,176,177,176,174,173,175,177,177,178,178,178,179,181,164,192,193,173,147,116,85,69,71,94,91,67,152,183,178,179,178,178,176,174,177,178,178,178,179,179,182,171,174,198,184,169,152,115,82,71,76,92,72,111,187,178,179,179,177,178,176,175,177,178,178,179,180,181,179,165,186,184,178,165,136,97,77,69,78,81,95,178,183,181,180,179,178,177,177,176
14,180,179,179,180,180,180,181,181,181,181,182,181,181,181,182,181,182,182,181,181,182,180,180,180,179,179,181,142,183,182,183,182,183,183,184,185,186,185,186,185,183,184,184,184,185,186,184,184,184,183,182,182,181,179,185,123,185,185,185,184,186,186,187,188,186,187,185,186,187,187,185,190,190,186,187,187,187,185,184,184,183,184,186,157,189,187,188,189,190,189,188,188,192,197,186,175,190,188,174,170,185,192,192,190,189,189,188,189,186,186,186,176,192,192,192,194,193,192,189,201,217,181,175,173,176,163,132,149,167,173,178,196,192,194,194,192,190,189,189,185,195,195,194,197,195,202,215,211,191,118,92,118,131,129,86,81,149,130,106,198,195,196,196,194,192,192,192,190,197,197,197,200,191,218,227,145,108,82,42,58,78,86,64,58,93,96,63,174,208,199,192,197,195,194,194,193,199,198,198,202,192,227,220,133,61,50,44,38,45,54,57,50,62,71,86,102,174,171,140,155,200,194,196,196,202,201,202,204,194,234,214,150,83,55,51,46,45,43,54,50,51,90,140,102,78,165,136,138,206,197,199,197,205,203,205,204,196,236,199,124,61,44,50,61,57,44,54,59,53,69,90,61,134,188,104,165,211,200,202,201,205,204,206,204,208,236,195,147,98,58,44,57,48,61,52,78,136,175,150,115,188,173,93,177,212,203,203,203,207,207,209,205,217,240,203,163,124,86,69,47,51,87,62,132,228,211,220,195,193,172,91,171,214,204,205,205,210,211,212,205,225,246,213,168,110,83,73,67,66,71,65,177,217,208,210,179,189,162,92,158,218,206,206,206,211,211,213,206,228,253,220,170,103,75,67,64,83,67,90,219,211,214,201,186,190,156,91,132,223,207,207,207,212,213,213,210,230,252,222,184,128,82,59,60,80,65,126,230,209,216,191,203,195,148,78,164,221,209,211,209,212,213,217,209,228,255,225,187,143,94,60,58,73,52,146,218,218,205,179,207,196,122,104,220,214,213,213,211,215,216,220,207,221,254,227,195,154,100,68,62,59,56,103,127,173,171,180,195,175,96,173,226,213,216,213,213,218,218,220,208,221,253,229,197,163,117,78,45,62,76,94,125,145,156,174,179,137,108,217,218,218,219,217,215,218,218,220,210,222,252,234,201,168,130,94,48,68,83,116,147,160,155,149,149,100,158,230,219,221,221,219,217,219,218,222,208,219,251,236,206,173,136,103,62,66,98,137,161,165,142,127,109,87,209,224,221,221,221,220,219,221,219,223,208,212,250,234,210,178,142,106,79,65,96,140,162,162,139,107,85,117,233,219,220,221,222,223,222,222,220,224,212,209,246,233,214,181,149,110,91,68,86,137,160,155,124,96,87,196,229,223,223,222,222,222,221,224,224,224,211,214,242,233,215,186,157,119,100,81,82,144,158,143,113,76,143,240,222,225,224,223,223,223,221,226,225,227,209,219,247,231,213,193,165,120,105,98,77,141,140,125,103,71,195,236,226,227,226,224,225,225,225,226,226,232,210,225,251,229,213,200,169,124,107,102,80,118,125,117,89,98,232,230,228,227,227,226,225,225,224,227,227,230,211,240,246,232,226,201,170,125,106,97,84,102,110,107,71,167,242,229,230,229,227,227,226,226,225,227,227,223,209,248,248,235,220,191,154,117,101,92,87,95,97,85,113,233,234,231,230,230,228,227,227,226,226,229,230,215,211,244,244,232,204,169,134,107,93,86,91,94,94,86,203,241,231,232,232,231,229,229,229,228,227
21,203,203,203,204,205,205,205,205,204,204,205,202,204,204,202,201,201,199,199,198,196,195,193,191,190,189,185,183,205,206,206,207,209,209,208,208,208,206,215,198,164,207,205,204,204,202,202,201,200,198,196,195,193,192,188,186,208,209,210,211,212,211,211,212,213,211,213,212,153,178,215,208,208,207,205,205,203,201,200,197,199,195,192,191,211,212,213,213,214,214,214,215,215,215,213,214,178,141,216,212,212,211,209,208,206,204,206,187,164,200,196,193,214,215,215,216,216,216,217,218,218,217,216,219,197,122,197,219,213,213,211,212,210,205,211,183,127,196,200,196,217,217,217,218,219,219,219,220,219,218,219,219,212,142,167,226,214,215,213,213,212,208,219,168,132,204,202,198,219,219,221,220,221,222,222,222,221,220,222,223,225,169,144,222,218,217,216,215,213,215,211,150,147,214,202,201,221,222,223,224,224,224,224,224,224,224,225,225,233,183,129,209,224,218,218,218,214,224,204,134,173,215,204,203,224,225,226,226,226,227,226,226,225,226,227,225,238,200,135,190,229,220,220,218,220,221,188,131,200,213,207,205,226,227,228,229,229,230,229,229,229,229,229,226,233,221,160,171,232,221,222,221,223,207,156,143,219,211,210,207,229,230,230,230,231,231,231,230,231,232,231,230,227,225,182,154,228,225,224,226,225,200,123,178,223,213,212,210,230,232,232,231,232,233,232,231,232,232,232,233,210,188,180,142,218,229,225,231,224,180,131,219,219,215,214,211,231,232,234,233,232,232,233,233,233,233,235,231,228,218,199,156,205,239,228,231,210,146,166,231,217,218,215,213,233,234,235,236,235,235,236,236,236,236,238,226,212,239,229,198,162,206,219,206,182,127,206,229,222,219,217,216,236,237,237,238,238,237,237,237,237,237,239,231,189,173,222,200,181,142,172,182,140,139,232,224,224,220,219,217,237,237,237,238,238,238,238,238,239,238,239,233,192,111,117,208,201,128,112,137,113,159,239,224,224,223,220,219,238,238,238,239,239,239,239,240,240,239,242,238,202,165,123,160,187,127,122,112,100,173,241,226,226,224,223,220,239,239,240,240,241,241,240,240,240,242,237,219,220,210,174,124,172,152,132,142,104,184,241,228,228,226,224,221,241,240,241,242,243,244,243,244,244,244,226,226,227,214,199,177,141,165,145,154,98,163,244,229,230,227,225,223,241,243,243,244,245,245,245,245,246,242,227,218,179,187,213,197,161,123,148,134,98,119,240,230,230,228,226,224,241,243,243,243,244,244,244,244,245,242,229,218,176,115,151,194,157,93,118,156,122,87,182,242,229,230,227,224,241,243,243,244,243,244,244,245,245,242,230,213,181,149,102,142,130,101,107,163,152,94,138,242,226,226,229,231,242,244,244,245,245,244,245,245,246,244,224,214,206,164,117,140,163,109,135,182,163,94,158,244,232,234,210,164,241,242,243,245,245,244,245,246,246,244,220,215,215,159,138,164,237,194,177,180,133,89,211,235,201,153,103,82,250,249,250,252,251,250,250,250,251,249,224,220,199,179,136,166,232,220,184,158,121,97,164,125,99,80,81,87,205,208,213,217,221,224,228,231,235,238,221,207,194,173,126,160,214,195,170,147,120,90,84,84,92,72,81,90,138,138,138,139,142,143,142,144,145,140,174,208,197,165,133,159,211,192,157,127,102,84,85,79,90,64,71,93,147,147,146,146,146,149,149,147,150,142,161,212,194,167,146,145,193,177,139,110,85,79,79,72,81,60,66,90
2,242,244,242,244,243,243,245,245,244,245,246,245,244,244,243,243,244,240,242,242,240,240,240,240,237,237,236,234,247,246,247,247,246,246,247,247,246,249,249,247,247,247,249,249,248,249,243,242,238,241,241,240,239,237,236,236,249,248,249,248,249,248,249,249,250,250,250,249,244,238,224,220,192,212,255,250,245,242,242,240,240,239,237,238,250,250,250,251,252,251,250,248,252,251,247,231,198,164,138,114,102,144,223,209,239,246,243,243,244,241,239,240,253,253,253,253,253,254,252,252,246,243,220,167,124,106,102,77,75,88,133,107,230,251,246,247,247,245,245,244,254,255,255,254,255,255,255,246,234,208,153,104,77,70,65,68,74,92,100,106,228,253,248,247,249,247,244,246,255,255,255,255,255,255,253,237,229,151,86,68,61,64,75,62,63,74,91,99,117,255,248,247,248,248,245,247,255,255,254,254,255,255,250,242,201,120,62,50,64,69,68,62,79,96,99,105,188,255,249,251,250,252,250,248,255,255,255,255,255,255,246,240,164,90,57,68,67,52,74,91,78,80,130,226,255,251,254,254,248,230,242,251,255,255,255,255,255,255,247,232,160,95,62,78,58,74,86,71,116,221,255,255,254,255,255,250,223,173,190,255,255,255,255,255,255,251,251,226,159,100,76,59,66,98,90,171,254,255,255,255,255,255,253,220,218,133,202,255,255,255,255,255,253,235,255,220,152,97,79,53,86,79,155,255,255,255,255,255,255,255,234,210,191,124,250,255,255,255,255,255,238,221,255,221,167,108,72,60,82,76,233,255,255,255,255,255,255,255,215,219,141,145,255,251,255,255,255,255,234,217,255,228,186,119,69,71,67,142,255,255,255,255,255,255,255,241,205,205,127,160,255,254,255,255,255,255,230,234,255,234,195,139,79,74,58,195,255,255,255,255,255,255,241,215,220,202,109,158,255,255,255,255,255,255,232,246,255,237,200,152,86,72,63,188,255,235,227,240,255,246,214,223,217,159,104,234,255,255,255,255,255,255,229,252,255,233,202,168,96,66,80,103,143,157,166,172,183,170,202,209,169,108,221,255,255,255,255,255,255,255,227,252,255,235,209,172,105,70,86,119,160,186,188,162,158,148,159,162,101,209,255,255,255,255,255,255,255,255,224,253,255,244,216,173,110,93,100,154,175,196,180,157,133,128,129,92,182,255,255,255,255,255,255,255,255,255,229,253,255,248,213,171,124,109,98,155,165,180,174,148,122,118,82,141,255,255,255,255,255,255,255,255,255,255,236,255,255,250,209,167,134,121,99,138,154,157,158,136,119,87,113,255,255,255,255,255,255,255,255,255,255,255,246,255,255,255,211,160,137,120,97,133,134,135,131,116,90,158,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,249,196,141,122,109,96,128,116,124,102,97,208,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,235,179,120,110,102,102,120,105,95,108,230,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,254,249,241,193,114,115,115,110,111,75,134,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,243,248,255,215,111,123,124,121,81,131,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,224,115,126,132,115,118,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,220,125,117,127,103,203,255,255,255,255,255,255,255,255,255,255,255,255,255,255
10,105,106,108,110,110,112,113,114,115,115,116,116,117,119,121,122,120,120,121,121,121,122,122,121,120,120,121,121,108,109,111,113,114,115,116,117,117,118,118,119,120,121,122,120,122,122,123,123,123,123,123,123,122,122,122,122,111,113,115,116,118,119,120,120,121,121,122,123,123,123,141,102,103,128,124,126,126,126,126,125,124,123,123,123,114,117,120,120,121,123,123,124,124,124,126,126,126,126,151,102,87,134,127,128,128,128,128,128,127,126,126,125,118,120,123,123,125,126,125,128,127,127,129,129,128,129,154,109,82,134,129,131,132,131,129,129,129,129,128,127,122,123,126,128,129,129,130,130,133,131,131,132,131,132,156,118,83,135,133,133,133,133,132,132,132,131,129,129,125,126,129,132,131,131,132,136,130,136,138,137,136,135,159,126,85,135,138,137,136,136,135,134,134,133,132,131,128,129,132,134,133,134,135,145,100,82,128,123,134,140,161,135,84,132,141,140,139,140,138,137,136,135,136,135,130,132,135,136,138,138,140,127,74,42,65,70,96,147,160,139,82,129,145,142,143,142,141,140,139,139,138,136,132,135,137,138,140,140,142,142,87,47,62,60,68,149,170,146,81,130,148,144,145,145,144,143,141,141,140,139,133,137,140,141,142,143,143,149,132,82,113,77,56,138,150,132,79,134,150,147,147,148,147,147,145,144,143,142,137,140,142,144,144,144,148,158,132,71,149,120,69,91,85,97,75,135,154,150,150,150,150,148,148,146,146,145,139,142,144,145,148,145,145,168,139,48,119,143,93,53,55,74,68,137,156,152,153,152,152,150,149,149,147,146,141,144,147,147,155,164,151,165,148,68,65,156,120,71,58,78,63,136,157,153,155,155,154,153,152,151,151,150,143,146,148,149,153,172,149,155,152,100,37,133,148,96,63,73,61,139,160,156,156,156,155,155,154,154,152,151,144,148,150,151,151,143,127,115,180,141,48,76,159,121,76,61,60,135,163,156,157,157,157,157,156,156,153,152,147,150,151,153,154,146,125,98,150,112,40,59,134,133,103,63,55,138,166,159,159,159,159,159,158,157,156,155,150,151,153,153,156,160,123,115,104,48,57,97,121,132,105,64,51,142,167,161,161,162,162,161,159,157,157,157,151,152,154,156,157,167,150,118,99,75,129,165,137,114,96,65,56,149,166,163,162,162,162,161,160,159,158,158,152,154,156,158,158,174,152,134,134,122,172,173,142,103,88,66,72,164,163,163,165,163,163,161,161,161,160,159,154,156,156,158,160,170,162,151,145,134,177,163,134,103,82,63,88,172,163,164,165,164,164,163,162,162,162,161,154,156,157,160,160,167,163,145,144,139,172,151,125,99,79,59,94,175,165,167,166,166,165,164,163,163,163,162,156,158,159,162,161,163,164,156,156,136,157,145,117,94,75,58,99,176,166,168,168,167,167,167,166,164,163,162,157,159,160,161,162,160,159,160,155,131,153,144,111,88,74,60,109,176,167,169,169,169,167,167,167,165,164,164,157,161,161,161,163,163,159,156,144,120,142,139,111,91,77,62,132,175,168,169,169,168,168,168,167,166,166,166,158,160,161,161,163,162,167,149,127,122,139,122,120,107,74,72,163,173,171,172,171,169,169,169,169,168,167,167,158,160,161,163,164,160,172,161,145,139,135,127,133,115,64,103,177,172,173,172,173,173,172,171,170,170,169,168,156,158,161,162,162,154,171,166,154,144,128,130,126,102,59,144,177,171,173,173,172,171,172,172,171,170,169,168
8,184,186,186,187,188,189,190,190,191,190,189,190,190,190,191,191,190,190,188,186,184,182,181,180,178,178,176,174,187,188,188,189,190,192,193,193,193,193,193,191,192,192,193,192,191,190,189,188,186,184,183,183,181,179,178,176,188,190,190,191,194,194,195,195,195,198,206,172,194,194,195,195,194,193,191,190,189,187,186,185,183,181,180,178,191,191,192,193,195,196,196,197,196,208,211,150,194,197,197,197,195,194,193,192,192,190,188,187,185,184,183,181,192,192,194,195,197,198,198,199,198,216,209,149,198,199,199,200,197,196,194,193,194,191,190,189,187,187,185,184,194,195,197,198,199,199,199,201,200,224,215,156,203,214,192,194,205,191,189,195,194,197,190,183,190,188,187,186,197,198,199,200,200,201,201,202,201,231,213,157,223,236,194,168,222,189,160,195,189,207,188,162,192,190,189,187,198,200,201,201,202,202,202,203,201,234,215,160,240,245,204,159,220,194,148,194,187,201,193,150,191,193,190,188,199,201,201,202,203,205,205,206,204,235,230,192,246,250,210,158,212,197,137,196,186,173,198,157,170,192,192,190,201,202,203,204,206,207,207,207,206,239,231,230,238,242,210,153,198,191,133,200,176,138,189,181,148,176,194,192,202,203,204,206,207,207,207,207,212,241,231,229,234,229,201,147,197,184,135,195,158,132,176,197,146,174,195,193,203,204,205,207,209,209,210,208,224,242,209,208,211,215,212,148,194,176,124,168,146,135,197,205,146,188,196,196,204,206,207,208,209,211,210,209,234,243,194,184,180,187,213,152,194,176,118,167,140,156,215,197,147,197,199,197,206,208,209,210,211,211,212,211,239,245,206,168,172,175,182,178,195,172,141,177,147,200,213,173,152,200,200,197,207,209,210,211,212,212,214,213,242,248,213,176,157,170,189,208,193,188,204,212,204,200,188,153,161,193,190,170,207,209,210,211,212,213,215,214,242,250,222,189,159,168,197,212,221,235,239,227,203,176,157,136,127,126,119,107,207,209,210,211,211,213,214,213,241,252,231,204,173,167,201,229,245,245,234,218,190,158,135,117,116,112,105,99,208,209,211,213,214,215,215,214,239,254,242,219,195,179,205,238,247,238,223,201,171,141,122,113,108,102,99,98,210,211,211,214,216,215,216,216,232,254,248,228,209,187,207,239,241,227,207,179,147,123,108,100,85,74,62,51,210,213,214,214,216,216,218,218,224,254,250,231,209,192,203,231,228,209,187,154,125,106,96,87,74,62,58,47,211,213,214,214,216,217,220,219,223,253,242,223,203,189,199,215,207,186,165,130,109,102,96,82,65,53,53,48,211,213,215,215,217,218,219,195,184,246,216,206,190,182,195,199,182,159,134,105,95,96,98,93,72,50,45,47,184,187,189,191,194,197,199,138,114,224,209,204,189,186,190,182,159,132,101,74,79,87,86,93,87,60,42,42,123,122,120,121,122,124,129,121,74,159,202,202,193,184,174,164,137,106,60,48,57,75,74,83,94,74,49,38,119,118,121,120,119,119,122,128,113,121,162,180,180,166,155,137,110,75,23,29,54,68,66,70,89,83,58,38,122,120,123,124,124,124,127,129,112,114,117,126,141,140,125,119,86,43,18,48,77,82,56,61,79,87,70,46,125,122,124,125,125,125,131,129,112,109,106,101,98,100,99,97,69,28,34,70,88,83,48,54,70,86,78,57,125,122,125,127,128,128,134,126,114,110,106,101,92,85,80,75,68,57,57,59,60,52,36,45,62,78,82,65
7,199,203,209,212,215,217,218,218,217,220,221,221,221,221,220,220,219,219,219,218,217,216,220,199,222,236,230,237,205,210,214,217,220,221,222,223,223,224,225,225,224,224,222,221,221,220,220,219,217,217,216,216,229,177,241,236,212,216,219,223,225,226,228,229,229,230,230,229,227,228,226,227,226,224,223,222,221,220,217,221,211,185,246,237,219,222,226,230,232,232,234,235,234,234,234,235,233,232,232,231,229,229,227,226,225,223,222,218,227,246,230,236,223,228,233,235,237,239,240,240,241,240,239,239,238,237,237,236,235,234,233,230,230,227,224,223,224,207,183,238,228,234,238,241,243,245,245,245,245,244,245,246,244,244,243,242,242,240,238,236,235,233,229,227,227,216,208,241,233,239,243,246,248,250,250,250,250,250,251,251,250,249,247,246,247,245,244,242,240,237,234,232,230,227,227,242,238,243,248,250,253,253,255,255,254,254,254,254,253,252,252,250,250,250,248,246,244,242,240,238,235,232,235,252,244,248,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,250,248,246,244,242,239,236,236,255,249,253,255,255,255,255,255,233,214,230,237,242,241,238,235,231,242,250,255,255,255,254,249,245,244,237,239,255,252,255,255,255,255,255,247,205,147,167,200,217,209,209,207,197,187,196,204,203,222,233,247,253,246,250,249,255,255,255,255,255,255,250,241,205,172,173,179,193,192,196,199,189,166,180,186,179,190,194,225,223,255,211,213,255,255,255,255,255,255,254,243,201,161,175,179,187,182,185,194,185,166,161,167,177,184,190,218,197,235,101,168,255,255,255,255,255,255,255,235,197,141,151,172,192,202,194,198,182,181,172,182,195,175,177,179,195,204,123,117,205,255,255,255,255,255,251,235,180,145,162,167,179,178,179,180,180,173,164,177,192,181,182,181,203,221,190,115,99,255,255,255,255,255,255,254,206,136,135,131,118,157,178,165,161,161,168,175,182,173,170,167,166,187,159,117,105,255,255,255,255,255,248,255,218,134,124,130,116,149,220,255,255,255,255,250,184,116,119,118,114,116,108,107,107,255,253,252,255,238,241,241,194,143,133,137,138,124,108,243,255,192,159,117,94,93,86,85,102,99,101,106,105,254,253,246,240,234,231,231,192,137,123,138,151,146,129,117,99,82,88,104,103,92,95,90,90,94,92,103,106,248,243,236,233,232,232,245,207,132,102,87,127,138,123,121,103,95,83,98,110,93,82,93,92,90,98,92,67,233,228,234,233,233,231,229,200,133,109,98,105,131,142,146,105,93,93,78,100,106,86,76,86,90,104,65,38,223,216,216,211,206,204,188,159,135,123,115,101,76,100,109,75,77,104,84,79,98,104,82,72,80,79,74,65,212,197,179,172,168,165,162,140,129,114,84,111,69,61,89,93,68,91,98,80,84,96,98,75,75,73,76,73,195,189,165,159,149,171,177,113,84,99,58,98,95,54,77,99,81,72,97,93,80,81,95,88,69,74,73,73,162,165,171,183,226,255,128,108,83,91,69,73,104,63,59,92,96,70,83,96,85,79,78,91,72,68,73,71,154,255,255,255,255,162,93,114,96,71,79,60,93,85,47,79,99,80,76,86,89,79,72,79,83,61,68,72,100,223,211,224,177,96,107,91,81,85,71,57,71,97,50,60,93,89,80,81,82,79,71,70,81,68,59,68,79,169,167,150,118,100,95,93,63,85,76,49,56,97,67,46,82,94,81,81,78,77,69,68,71,76,58,60
21,159,162,165,168,170,172,173,174,175,175,175,176,174,174,173,172,169,168,168,168,164,163,162,161,158,158,154,154,161,164,167,170,171,174,175,177,178,178,179,178,178,177,177,173,176,172,170,170,169,166,164,163,162,160,158,155,162,165,169,171,173,176,179,180,181,181,180,180,180,179,178,175,150,171,175,172,171,169,166,166,165,162,162,158,163,168,171,171,174,178,181,182,183,182,182,182,181,180,182,191,88,137,183,173,174,171,167,167,166,165,165,163,164,169,173,173,177,180,183,183,184,183,183,183,184,180,189,179,83,146,184,173,174,177,172,171,170,167,166,166,166,171,174,175,178,182,183,184,185,185,185,186,187,179,200,170,88,165,184,176,175,156,167,175,172,171,167,165,168,171,175,178,180,181,184,186,188,187,190,188,188,183,208,163,94,176,183,181,161,96,122,183,170,172,170,168,171,174,178,181,183,184,188,189,190,190,190,190,189,190,211,151,102,185,184,175,150,87,138,182,172,173,172,171,171,175,179,182,184,188,189,190,191,191,193,191,187,195,205,138,100,189,184,169,138,88,173,179,176,175,173,171,171,176,181,183,186,189,190,191,192,193,192,194,194,205,198,117,106,195,176,167,118,117,189,177,178,176,175,173,175,178,182,183,187,190,192,191,194,195,194,154,152,223,193,100,136,194,159,155,90,155,189,180,180,178,176,175,175,179,182,185,188,190,193,194,197,195,204,156,91,137,138,79,158,183,163,121,97,189,185,184,182,179,178,177,175,181,184,187,190,191,193,197,196,202,203,198,158,110,71,71,172,171,159,88,146,196,185,184,182,182,179,177,177,182,185,188,191,194,195,196,202,216,202,223,206,132,73,74,113,127,114,94,188,189,188,187,185,183,181,178,179,183,187,190,193,195,198,199,216,161,186,186,186,125,78,70,76,88,72,142,200,188,189,188,187,184,181,179,180,183,188,192,195,197,195,211,204,136,151,110,174,153,92,68,67,72,86,190,195,190,189,189,189,188,183,181,180,186,190,193,196,199,197,218,199,152,104,58,151,177,108,73,65,61,132,206,193,193,193,192,190,188,186,183,182,187,192,194,198,198,203,220,164,125,110,74,161,192,130,91,70,60,169,205,194,194,194,193,191,188,186,184,184,190,193,196,199,198,214,219,170,157,119,146,230,183,150,113,75,62,174,206,197,197,194,193,192,191,189,185,184,189,191,196,201,197,221,221,189,141,134,228,216,162,145,114,82,77,182,206,200,199,195,195,194,193,190,188,185,189,192,197,201,200,230,239,181,140,182,246,193,151,124,113,86,90,196,203,200,199,199,199,197,193,190,189,187,191,194,198,201,200,237,218,169,161,196,240,191,164,113,96,84,113,209,201,200,200,199,198,196,193,191,190,187,191,196,198,203,202,229,199,201,161,202,232,180,155,118,90,79,145,214,203,203,201,200,199,197,196,193,191,183,189,192,196,201,204,214,221,221,160,218,208,163,132,107,94,83,175,212,203,202,201,201,200,198,194,193,190,182,188,192,196,201,202,209,222,205,153,195,187,144,111,96,86,97,198,208,203,200,199,199,198,196,193,192,189,184,189,192,197,202,203,212,207,182,155,172,175,141,117,99,77,122,212,205,205,203,201,201,199,197,194,192,190,184,189,194,198,202,205,210,201,179,179,179,173,167,118,95,70,146,215,205,206,202,201,201,200,198,195,193,190,184,189,193,197,201,204,207,207,211,208,186,163,164,116,84,69,168,215,206,206,202,202,201,199,197,196,193,191
24,176,179,180,180,181,182,183,183,183,184,184,185,185,185,185,184,184,184,184,184,183,182,181,176,117,50,34,27,180,181,182,183,184,185,185,186,186,186,187,187,187,186,187,187,186,187,186,186,186,185,184,179,115,42,40,42,182,183,184,185,186,187,188,188,188,189,189,189,189,189,189,189,189,189,189,189,188,187,186,185,137,51,49,55,183,185,186,187,188,189,190,190,191,192,191,192,192,192,192,192,193,192,192,191,190,189,188,188,170,74,50,50,185,186,187,189,190,191,193,192,193,194,193,194,194,194,194,194,195,194,193,193,192,192,191,189,186,119,49,39,187,188,190,191,192,193,194,195,194,195,194,195,195,195,196,196,196,197,196,195,195,194,194,192,192,160,57,32,188,190,192,192,193,194,195,195,196,197,196,196,197,198,198,197,199,199,198,197,197,195,195,195,193,187,81,35,189,191,193,194,196,197,196,197,198,199,198,199,199,199,200,199,200,201,199,199,200,198,197,196,195,195,139,120,190,192,194,194,174,190,199,199,199,199,199,200,200,200,201,201,201,201,201,201,200,200,199,198,197,197,152,164,192,194,195,194,150,155,201,199,200,200,201,200,201,201,202,201,202,203,202,202,202,201,200,200,199,198,163,185,194,195,197,194,155,119,189,201,201,201,201,201,202,203,202,203,204,204,203,204,203,203,201,201,200,199,187,169,194,196,199,198,174,117,151,203,203,202,203,203,203,204,204,205,205,208,192,184,202,203,202,202,202,201,199,164,195,197,199,200,189,148,118,185,205,204,204,205,203,195,201,206,181,200,188,138,168,207,205,203,200,191,173,158,196,199,200,201,200,177,128,136,197,205,204,207,207,174,174,205,150,145,194,141,139,206,206,203,201,175,133,116,196,199,200,200,201,192,163,136,157,202,204,209,220,194,164,179,162,131,192,153,141,206,205,206,203,150,113,125,195,197,199,199,200,199,183,158,143,172,201,207,218,217,174,146,179,137,177,164,145,204,200,210,182,120,153,196,195,197,199,200,201,201,195,177,164,177,183,190,187,217,187,135,160,150,170,176,133,170,184,199,149,131,196,201,196,197,200,201,201,202,203,198,198,193,171,159,152,183,194,142,121,155,165,186,123,127,181,174,127,177,203,201,195,198,200,201,201,202,204,206,213,189,163,142,124,136,185,149,104,162,161,193,141,147,176,143,139,202,203,202,196,199,201,202,203,204,206,206,212,211,187,149,128,136,161,159,113,159,163,144,158,172,163,119,162,207,204,203,148,152,154,158,162,166,170,172,178,215,217,192,147,131,151,165,136,141,180,148,199,172,148,121,191,206,203,202,100,101,101,103,104,103,105,105,105,193,227,220,195,143,144,176,173,163,192,201,193,152,133,113,140,144,153,172,103,102,103,104,103,103,104,104,101,157,226,216,216,174,145,156,208,225,229,212,173,139,119,113,136,164,185,204,105,102,103,102,103,105,104,105,104,121,203,211,220,200,161,146,176,223,221,193,161,125,121,188,208,208,208,213,103,102,102,101,102,104,104,105,106,105,154,216,224,208,171,149,156,204,204,176,150,112,143,189,191,203,203,202,101,102,103,102,102,103,103,104,106,104,113,198,208,188,157,140,147,175,181,157,125,109,179,185,166,176,189,193,100,101,102,102,103,104,103,103,104,105,102,170,198,167,156,149,150,163,167,143,109,116,177,193,154,144,168,187,101,101,101,101,103,106,102,102,103,104,102,150,202,184,179,167,159,164,164,134,100,122,173,191,161,133,160,178
10,24,64,66,70,76,82,91,102,111,115,119,123,127,132,135,137,142,141,144,146,146,146,146,147,148,148,146,145,30,66,67,72,78,83,93,103,112,117,121,126,131,135,138,141,143,155,143,147,149,148,149,149,148,149,149,147,36,68,68,73,78,83,95,106,115,120,125,131,136,139,142,141,152,191,122,134,155,150,152,151,151,150,150,149,43,68,70,75,79,85,97,109,118,123,128,134,138,141,145,144,158,189,132,115,160,153,156,154,154,153,153,151,48,69,71,76,80,86,99,112,121,123,129,136,141,145,149,148,155,191,159,109,159,157,157,157,156,156,155,154,54,69,72,76,80,88,102,114,121,140,137,134,147,149,151,152,153,200,188,110,153,163,160,159,158,158,157,156,60,70,73,76,81,89,103,115,125,194,135,88,136,152,154,157,155,197,188,116,143,169,162,162,162,162,160,159,64,70,73,77,83,91,105,117,126,160,120,84,80,164,138,128,163,191,198,122,129,173,165,165,164,164,163,162,66,69,73,78,84,91,106,119,129,135,127,102,88,157,105,101,165,194,208,130,113,177,167,168,167,166,165,164,68,71,74,79,84,92,108,120,131,136,141,132,126,169,103,58,157,192,175,120,90,173,172,171,171,169,168,167,71,72,75,79,83,93,110,123,133,138,142,157,141,172,118,57,118,177,116,95,74,165,175,172,173,172,170,170,72,72,75,80,84,94,111,125,135,139,143,153,147,175,141,107,76,102,87,91,69,156,181,175,176,175,172,172,73,73,75,80,84,95,112,127,137,140,145,157,169,136,164,152,123,66,60,80,69,133,189,178,179,177,176,174,74,74,75,79,85,96,113,127,139,143,143,179,185,111,120,193,161,128,80,68,64,96,191,180,181,180,179,178,74,74,75,80,85,97,114,129,140,143,151,173,197,154,67,153,195,157,128,63,52,73,187,185,185,183,181,179,74,74,75,80,84,97,116,131,139,153,200,142,176,145,81,137,209,171,140,69,44,74,188,188,186,186,184,182,75,73,76,81,84,99,117,132,138,162,219,147,122,160,117,195,196,161,139,83,52,51,170,195,188,188,186,185,75,74,76,81,84,100,118,133,142,150,196,168,107,191,174,210,199,156,133,90,59,45,165,199,191,191,188,187,75,75,76,80,84,100,119,133,145,144,176,172,115,194,138,184,202,167,121,86,66,51,175,198,192,193,191,189,75,75,76,81,84,101,120,136,145,146,172,191,158,156,79,202,198,154,116,84,69,60,185,199,194,195,194,191,76,75,75,79,84,102,120,135,147,151,152,206,206,146,119,218,188,149,112,80,70,66,191,200,196,195,194,192,75,75,76,80,84,102,120,137,148,151,155,182,225,212,192,209,177,139,106,82,73,74,199,200,198,197,195,195,76,74,75,79,84,102,121,136,147,151,158,172,221,218,192,178,159,127,104,91,70,93,208,199,200,199,197,195,76,73,73,77,83,102,120,135,146,149,158,160,152,210,168,142,154,139,121,107,68,114,211,197,200,199,197,195,74,72,72,75,82,101,120,136,145,148,163,149,33,193,150,160,167,166,154,123,60,115,211,198,200,199,198,196,73,69,70,74,79,100,119,135,146,147,166,139,0,156,203,180,152,159,146,99,43,37,205,203,202,200,199,197,69,66,67,71,77,97,117,135,144,148,166,113,1,88,164,147,124,126,98,44,0,68,215,200,202,200,199,197,75,70,71,71,78,97,116,132,142,147,160,94,15,45,45,38,29,30,17,1,0,118,216,197,200,200,199,198
6,151,153,153,154,155,155,154,154,153,153,153,151,151,150,149,148,148,146,144,142,142,143,142,140,138,138,86,104,153,154,155,155,156,155,154,155,155,154,154,153,152,152,151,150,149,147,146,145,144,144,144,142,140,137,132,89,155,156,158,157,158,158,156,156,157,156,155,154,154,154,153,152,150,148,149,148,148,146,144,143,143,139,139,123,156,158,159,159,159,160,159,158,159,159,157,155,155,155,154,152,152,150,151,151,151,147,145,144,143,141,138,130,158,159,161,161,162,161,160,160,160,159,158,157,156,156,156,155,154,153,151,151,150,148,147,146,144,143,139,135,160,160,161,162,163,162,162,162,161,161,161,160,159,157,157,158,156,154,152,153,152,151,148,146,146,145,143,139,160,161,162,164,165,165,164,165,163,162,162,162,161,160,160,158,156,151,152,151,151,148,144,144,138,141,141,142,161,162,163,165,166,167,165,166,168,166,162,160,156,150,147,144,143,121,121,136,137,122,132,128,136,178,124,134,162,164,167,167,166,166,165,164,157,146,147,148,143,144,147,148,138,133,121,143,147,130,134,136,127,158,105,128,164,167,168,168,168,166,167,172,149,127,136,148,151,156,158,157,141,119,120,114,115,103,92,94,84,89,115,146,165,166,167,169,169,165,177,184,156,140,130,129,133,128,124,116,107,97,71,66,58,64,105,112,129,143,150,146,165,167,168,169,170,167,186,187,168,155,138,123,118,109,102,92,78,59,32,18,16,124,168,158,157,153,148,146,166,167,169,171,170,174,193,189,181,150,115,109,114,122,120,113,103,95,92,54,92,168,154,154,153,152,150,148,168,169,170,173,168,184,198,193,178,122,92,100,105,117,122,121,111,99,100,69,105,170,156,157,155,153,151,150,169,171,172,173,167,194,195,191,150,98,107,103,95,97,115,105,95,95,88,44,111,169,158,158,155,154,153,152,169,171,173,170,174,198,191,190,160,139,124,108,84,85,118,110,103,106,89,57,155,164,160,159,157,155,154,152,170,173,174,168,189,193,192,194,192,178,138,105,111,121,121,113,99,88,86,68,127,170,160,161,158,155,154,151,172,174,170,175,195,193,195,190,189,185,132,94,100,106,106,103,88,78,78,47,120,171,161,162,159,156,153,152,172,174,166,182,193,196,192,185,184,165,123,98,93,84,88,95,92,86,65,62,156,166,161,161,160,156,156,159,172,164,166,189,192,194,186,178,172,166,149,130,98,59,67,91,87,86,57,96,173,160,162,160,156,156,155,131,172,151,180,190,193,188,183,183,177,170,175,163,113,78,93,113,102,81,71,58,153,167,160,159,160,167,92,14,160,159,188,190,190,187,189,185,172,176,180,150,96,75,84,86,76,65,54,50,152,166,165,169,141,77,13,1,155,177,184,188,185,181,175,170,167,176,164,124,86,79,78,67,57,52,46,119,177,167,139,80,28,2,2,0,170,179,184,181,173,166,159,160,159,145,125,97,81,70,49,85,103,123,149,156,113,64,16,0,1,0,1,0,178,177,181,173,159,155,152,149,147,126,100,88,88,80,93,148,127,103,72,33,4,0,0,0,0,0,0,0,175,177,169,157,146,135,146,145,133,121,109,95,73,44,45,21,1,0,0,0,0,0,0,0,0,0,0,0,174,172,165,154,140,129,130,125,111,103,85,58,27,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,177,167,160,144,122,115,109,93,77,65,43,17,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,166,165,165,166,164,165,164,163,162,160,160,159,158,157,156,156,155,154,152,151,149,148,147,146,145,142,141,140,168,167,167,167,165,165,165,164,164,162,162,162,159,159,159,158,157,155,154,152,151,150,150,147,147,144,143,142,170,170,168,168,167,166,166,166,165,165,164,163,162,162,161,159,158,157,156,155,154,152,151,149,149,147,145,144,172,171,171,171,170,169,169,168,167,166,166,165,165,164,163,161,161,159,158,157,156,154,152,151,150,149,147,145,173,173,172,172,172,171,171,170,169,168,167,166,166,166,165,163,162,160,159,158,157,156,155,154,152,151,149,148,175,175,174,174,173,173,172,171,171,170,169,168,167,167,167,164,165,164,161,160,159,158,157,155,152,152,150,149,177,177,176,175,175,174,174,174,172,171,171,170,169,168,168,168,166,165,164,162,160,159,158,157,155,153,152,150,179,179,177,177,177,176,176,175,172,171,174,172,172,171,171,170,168,167,166,164,163,162,160,158,158,155,153,152,180,180,179,178,178,178,176,181,165,141,158,147,158,166,170,171,170,168,167,166,165,163,161,160,159,158,155,154,180,180,181,180,179,178,179,195,176,180,167,111,94,106,125,138,152,165,168,167,165,164,163,162,161,160,157,155,182,182,182,182,182,180,187,191,187,194,167,122,106,93,89,98,100,108,131,155,161,164,163,163,162,160,158,157,183,183,183,183,182,181,192,187,193,189,170,161,158,122,85,81,86,89,90,89,102,114,133,152,164,162,160,158,185,185,184,185,182,186,195,195,196,186,178,180,168,141,110,87,84,84,78,82,85,87,90,116,158,161,161,160,186,186,185,186,184,191,194,198,193,184,181,178,165,156,140,111,83,82,78,78,86,86,84,82,101,124,158,161,186,185,186,185,187,195,199,193,186,180,174,169,169,168,151,122,90,80,83,83,94,89,84,81,81,93,152,162,188,187,188,185,189,196,200,193,184,177,164,165,172,168,150,119,95,85,79,98,158,152,137,127,125,140,162,163,189,188,188,182,193,198,197,185,179,175,166,166,169,155,134,111,93,89,87,96,170,173,171,170,168,167,165,164,190,189,188,180,199,202,194,177,177,176,169,163,153,131,121,108,91,93,96,97,159,174,172,172,171,168,167,165,191,190,185,182,202,200,189,177,175,170,161,155,134,124,120,105,95,92,98,124,171,175,173,172,170,168,167,166,192,191,177,190,201,194,184,182,172,165,157,142,128,127,116,101,83,81,120,166,177,176,175,173,171,169,168,166,192,189,173,196,197,187,180,179,163,158,149,137,134,124,107,104,104,147,175,179,177,177,176,174,171,168,167,166,192,178,180,197,192,184,180,171,162,154,143,137,129,114,103,145,177,181,181,180,179,178,176,174,172,170,168,166,190,168,189,192,188,182,173,168,156,144,141,130,118,105,121,179,185,183,183,181,181,179,177,175,173,171,170,168,182,177,189,187,185,182,165,153,140,135,130,119,109,117,170,186,185,184,183,182,181,179,179,177,174,172,170,168,172,185,185,185,184,169,147,135,126,121,114,106,124,171,187,187,185,185,184,181,180,180,179,177,175,173,171,169,171,185,189,191,167,149,135,121,111,104,100,115,176,188,188,187,187,185,184,182,181,181,179,177,175,173,171,170,176,178,191,180,148,148,127,108,100,97,108,162,190,190,189,188,187,185,184,184,182,181,179,178,176,174,172,170,176,176,180,168,149,151,126,100,94,104,170,190,192,190,189,187,187,186,185,185,183,181,180,178,177,174,173,171
12,174,176,178,177,177,178,179,178,179,180,180,180,181,182,181,181,181,180,180,180,181,181,179,179,179,178,178,178,177,178,179,179,180,181,181,181,181,182,182,182,182,182,182,182,182,181,181,181,182,183,181,181,181,180,180,178,179,179,180,181,182,183,183,184,183,185,183,174,179,194,176,165,177,185,184,184,184,185,184,182,182,182,181,180,180,181,183,183,184,184,184,185,185,208,195,168,152,208,190,155,142,185,185,184,186,186,185,185,184,184,183,183,182,183,185,185,185,186,186,186,192,230,215,182,138,191,212,172,121,165,178,158,167,188,187,187,187,186,186,185,184,185,186,188,188,188,188,188,197,233,229,192,145,161,222,188,140,114,167,149,119,171,190,189,190,188,187,186,185,186,187,188,189,190,191,190,200,225,231,200,155,136,214,196,158,105,140,150,102,133,193,191,192,191,190,189,186,187,189,189,190,191,192,191,201,212,222,211,167,125,186,197,160,112,95,133,104,125,196,194,193,192,191,190,188,189,191,192,193,193,193,195,191,179,201,211,190,152,140,180,147,97,66,101,99,132,197,195,194,193,194,193,190,191,193,193,194,192,200,212,168,143,161,181,187,148,99,115,114,75,90,119,91,145,199,196,196,195,195,195,190,191,194,195,194,209,226,204,144,118,122,118,145,120,92,105,133,121,152,136,92,167,199,197,198,197,196,195,192,193,193,194,208,230,214,184,142,117,86,81,100,129,124,140,177,199,182,131,95,179,202,199,199,198,198,197,192,194,195,197,222,210,188,189,160,129,88,80,86,89,97,120,170,212,218,192,141,129,183,201,200,199,199,199,193,193,194,202,222,201,175,191,171,136,99,77,91,96,95,102,172,206,220,200,163,128,123,197,201,200,199,199,194,193,195,215,222,197,164,179,182,173,133,86,96,112,114,167,206,204,196,177,167,151,111,182,203,202,201,200,194,195,197,213,231,210,174,141,176,194,154,102,96,126,170,212,213,202,186,151,150,140,112,189,204,203,202,202,195,196,198,208,232,222,193,150,142,168,184,158,113,183,219,215,205,192,176,144,124,110,126,203,205,203,203,203,196,196,198,208,233,229,204,168,159,146,152,152,172,226,227,214,198,183,163,137,106,91,158,207,206,205,204,203,196,197,198,205,227,230,214,182,174,163,139,163,219,230,228,210,184,169,145,129,97,98,190,206,205,206,206,205,196,196,197,200,219,226,223,199,183,171,163,162,219,228,222,200,168,151,133,122,91,128,207,206,206,207,206,206,195,195,196,196,209,227,228,214,194,176,173,160,207,222,208,186,152,133,133,113,86,164,208,206,206,206,206,205,195,196,198,196,196,227,229,215,197,179,172,167,191,213,191,166,139,126,133,101,99,195,207,207,206,205,205,204,196,198,199,201,194,218,217,199,186,177,172,170,177,191,174,148,132,129,122,91,140,208,207,207,206,206,206,206,196,198,200,203,196,211,207,185,176,173,173,166,168,175,164,149,127,121,104,103,189,209,208,207,206,206,206,206,196,199,200,202,198,208,205,187,184,183,176,166,163,175,169,142,113,105,92,157,209,209,208,208,208,208,208,207,197,198,201,200,199,205,210,196,193,189,181,173,160,178,161,123,100,91,119,202,208,209,208,208,208,208,208,207,190,192,195,197,197,202,218,201,200,196,185,179,153,173,146,116,97,89,170,210,209,209,209,209,208,208,207,207,134,136,137,142,144,180,223,211,206,203,190,181,148,164,139,115,90,99,187,198,200,202,204,206,207,208,207,206
20,158,162,166,171,174,175,177,180,181,183,184,185,186,186,186,187,187,187,187,187,186,186,185,185,185,183,182,180,160,165,168,172,175,177,179,181,183,185,186,187,188,188,189,189,188,189,189,190,188,187,187,187,187,185,185,182,162,166,170,174,177,179,182,183,185,187,187,189,191,191,190,206,184,174,189,191,191,191,191,191,189,187,187,185,165,168,172,176,179,181,184,185,187,189,190,192,193,193,191,219,183,154,181,171,194,193,193,193,191,191,189,187,167,170,174,178,181,184,187,187,189,191,193,194,195,196,194,222,183,172,197,142,194,195,195,194,194,193,191,190,169,172,176,180,183,185,188,190,191,193,195,195,195,197,195,229,196,176,211,142,192,197,197,196,196,195,193,192,171,174,178,181,184,187,190,192,194,195,196,196,198,199,198,235,197,181,222,155,188,199,200,199,199,197,196,195,172,176,179,183,186,189,192,194,195,197,198,199,200,201,202,233,191,194,220,157,184,202,202,201,200,198,197,196,174,178,181,185,188,191,194,196,198,199,200,202,218,213,189,227,187,204,216,150,183,204,203,202,202,201,200,199,176,180,184,187,190,193,195,198,200,200,203,212,242,222,166,162,169,200,210,148,189,206,206,204,204,203,201,200,178,181,185,189,192,195,198,200,201,206,235,228,187,200,182,153,143,169,185,147,195,208,208,205,206,204,203,201,180,183,187,190,194,197,200,201,202,221,231,223,205,184,205,212,177,131,150,136,198,209,208,207,207,206,204,203,181,185,188,192,195,199,200,203,204,223,207,154,174,133,170,219,191,133,119,121,199,210,210,209,209,208,207,205,182,186,190,193,197,200,202,205,205,227,195,144,132,106,115,197,217,164,115,114,198,212,212,211,210,210,209,207,183,186,191,194,198,201,203,206,206,232,219,187,149,121,131,162,237,197,130,109,199,215,214,213,212,211,211,209,185,187,192,196,199,202,205,207,207,240,229,179,145,133,151,164,245,221,153,109,193,215,215,214,213,213,212,210,186,189,194,198,200,204,207,209,209,242,221,175,151,151,165,199,250,226,172,118,188,216,216,216,215,215,214,212,187,190,194,198,200,204,208,210,211,243,230,190,168,168,182,237,251,219,176,122,188,218,218,218,217,216,215,214,187,192,195,199,202,205,209,212,212,243,238,204,175,188,201,252,249,212,169,126,190,221,220,219,218,217,217,215,187,191,195,199,202,206,210,213,213,242,245,214,188,193,223,253,239,207,165,124,191,221,220,220,219,218,218,217,187,192,196,199,202,206,210,213,213,240,247,218,206,195,234,250,226,200,156,119,188,221,220,220,218,218,218,216,190,194,198,200,204,207,212,214,216,234,249,227,221,208,230,243,217,193,154,112,186,221,221,221,220,219,220,217,191,194,197,200,205,209,212,215,217,224,248,235,228,218,210,227,199,186,146,108,190,224,223,222,222,220,220,218,192,195,199,202,206,208,212,216,218,220,246,243,227,207,193,204,180,184,143,109,206,224,223,224,223,223,214,182,192,195,200,204,207,210,213,216,218,218,243,240,215,183,170,184,176,179,132,123,223,226,225,225,224,200,139,107,180,186,190,195,199,204,208,207,174,150,224,228,194,166,160,188,172,166,111,158,226,226,225,226,198,128,105,92,134,136,138,139,141,144,146,149,90,43,185,227,201,165,166,199,155,139,88,103,163,174,176,174,125,95,88,79,108,113,116,117,116,114,118,129,125,84,134,209,193,169,179,201,130,111,63,45,95,117,120,127,102,77,72,73
19,56,59,64,68,75,82,87,92,96,98,100,103,106,109,111,112,115,116,118,119,120,123,123,124,125,125,127,127,56,59,64,68,76,82,89,94,97,99,101,103,106,109,111,115,116,117,119,121,122,123,124,126,127,127,128,128,57,61,66,70,78,85,90,95,99,100,102,105,108,110,113,116,117,119,122,122,124,125,126,128,129,129,130,130,58,62,68,72,79,87,91,97,100,101,104,106,110,113,116,118,120,122,122,124,127,128,129,130,131,132,130,132,58,63,68,72,81,87,93,98,101,103,105,108,111,115,116,120,123,125,123,126,128,129,130,130,132,130,137,128,58,64,69,74,82,89,95,99,103,105,106,109,114,114,126,125,103,117,130,127,129,131,131,132,129,147,157,79,59,64,69,74,83,90,97,101,104,105,108,111,115,114,156,132,94,72,121,129,129,131,138,140,147,153,102,66,59,65,70,75,84,90,98,103,105,107,109,114,117,112,145,147,104,88,125,141,133,137,147,148,134,92,70,119,60,66,70,77,86,91,97,103,106,106,112,108,114,120,132,145,135,143,140,136,128,116,127,114,77,81,124,143,61,66,71,77,87,93,99,105,103,130,145,113,106,113,124,130,124,116,108,115,101,84,83,84,110,141,141,139,62,67,71,78,87,94,101,105,107,157,132,117,118,122,131,131,121,109,107,96,96,68,123,140,146,141,141,142,61,67,71,79,87,94,102,101,119,145,108,108,115,129,134,131,128,122,105,71,63,81,149,140,141,143,143,142,63,68,72,80,88,94,103,99,133,141,116,115,120,120,111,107,110,97,82,65,48,101,148,140,143,144,143,143,64,69,73,80,89,96,102,103,166,154,135,133,133,125,122,116,103,64,59,62,51,121,148,143,145,144,145,146,64,69,73,83,91,98,103,109,166,149,133,119,113,119,121,115,93,61,55,64,58,132,146,143,146,146,147,147,64,69,74,83,91,99,105,109,150,142,120,103,83,80,96,93,88,65,58,60,80,147,143,145,145,146,148,147,65,69,74,84,91,99,105,108,140,141,121,79,69,47,38,73,93,68,61,63,79,150,145,146,146,147,148,148,65,68,74,85,93,101,107,107,139,144,120,83,57,27,64,92,92,64,60,60,60,139,147,145,147,149,150,150,65,69,75,85,93,101,109,102,137,145,121,95,74,48,50,59,52,46,52,60,60,132,151,147,148,149,149,149,66,69,77,86,94,102,110,101,140,148,122,100,76,65,53,40,41,51,56,61,62,135,152,148,149,150,150,150,66,69,77,86,95,103,111,101,141,147,121,99,79,71,70,57,49,52,57,59,69,142,149,150,151,151,151,151,67,70,78,88,96,103,111,102,132,141,117,97,78,70,69,58,50,55,61,59,85,152,147,151,152,151,151,151,66,70,79,89,98,103,112,102,130,136,114,91,76,70,67,60,55,60,66,56,115,156,150,152,152,153,153,154,65,70,80,89,98,105,111,109,134,132,110,88,75,67,68,65,62,64,59,75,147,150,151,152,153,154,154,154,66,71,81,89,98,105,109,112,144,131,106,84,72,69,71,68,64,59,82,138,150,149,151,152,153,154,154,155,67,71,82,91,98,107,108,114,142,125,108,90,75,71,71,69,60,77,145,149,148,150,153,154,154,155,155,155,67,72,82,91,99,107,108,122,134,118,105,91,77,67,64,64,55,112,150,147,151,152,153,155,155,155,156,156,66,71,81,91,100,108,109,137,134,115,97,83,70,60,58,60,58,126,148,149,151,152,153,155,155,155,157,158
12,150,153,156,159,161,164,166,168,171,173,176,178,182,184,183,183,184,186,186,186,188,188,186,187,187,189,190,189,151,154,158,161,163,166,168,170,172,175,178,180,182,184,184,186,186,186,181,177,186,190,190,190,190,190,191,190,153,157,160,162,165,167,170,172,174,176,181,183,183,169,152,168,190,191,167,136,144,192,192,192,193,192,193,191,154,158,161,163,166,169,171,173,176,179,180,188,200,174,149,130,188,200,172,142,105,173,170,165,173,193,194,194,156,159,162,165,166,170,172,175,178,180,181,198,217,193,168,125,166,204,171,152,110,111,145,141,119,163,197,195,157,160,164,166,168,171,174,178,179,181,183,203,221,204,172,132,162,209,173,153,106,90,154,141,108,103,192,196,159,161,165,168,170,173,176,179,180,182,185,202,218,215,182,147,160,214,178,148,94,102,166,139,96,78,177,199,160,163,166,169,172,175,177,180,183,184,186,188,181,205,191,153,149,205,168,131,80,111,168,135,91,73,166,203,162,165,167,170,173,176,179,181,183,187,195,166,127,146,180,137,130,183,146,120,81,104,158,132,94,72,162,205,162,165,169,172,174,177,180,182,186,203,199,151,122,103,147,121,113,166,138,119,83,100,150,131,97,70,163,206,164,166,169,173,174,178,181,182,198,199,189,160,133,98,111,114,97,154,136,107,81,102,156,137,99,72,176,204,164,168,170,173,175,179,182,185,198,172,183,171,137,103,80,109,108,142,155,119,90,125,191,159,106,82,192,203,165,169,172,174,177,180,183,191,199,166,165,165,134,105,68,105,120,135,169,132,94,141,195,162,91,77,183,204,166,170,173,175,178,181,183,194,196,170,145,156,138,103,62,75,100,86,132,128,81,123,152,110,83,83,121,202,167,171,172,175,179,182,184,198,196,170,139,156,133,95,69,40,46,40,113,159,151,164,155,125,108,95,95,190,168,171,173,177,180,183,184,200,199,169,141,143,126,92,75,41,50,88,170,194,189,178,161,131,108,92,100,195,169,172,175,178,181,183,186,201,198,170,140,125,123,100,86,53,75,147,194,199,191,171,152,124,101,85,113,205,170,173,176,179,182,185,187,203,199,178,155,128,113,112,93,79,123,189,203,207,187,162,142,118,96,83,129,210,170,173,176,180,183,185,187,203,198,184,167,151,127,113,113,133,166,206,210,210,178,152,133,110,91,87,168,211,171,174,177,181,184,186,187,201,202,190,174,164,154,137,137,154,171,209,211,200,166,140,125,104,86,112,202,210,171,174,177,180,183,186,188,196,200,193,179,171,167,153,140,149,168,211,207,184,156,132,116,97,82,144,211,210,170,173,176,178,182,187,189,193,194,192,184,176,169,158,143,140,172,210,198,170,148,124,105,92,84,173,212,210,171,172,176,179,183,187,189,190,188,190,186,178,172,159,142,133,169,196,184,153,133,113,96,86,99,197,211,210,171,173,177,180,184,187,189,190,191,192,188,179,171,158,142,128,163,180,163,137,120,102,90,82,140,209,210,211,171,174,177,181,185,187,189,191,192,194,184,173,165,149,133,123,155,161,140,124,107,92,86,97,187,211,210,211,171,174,177,180,184,187,189,191,190,192,175,158,149,132,116,121,147,147,127,115,99,90,87,148,209,211,210,211,171,174,178,180,184,187,189,189,189,195,170,152,140,119,115,123,143,141,123,109,96,86,105,194,211,210,211,211,171,174,178,182,185,187,191,187,194,198,171,159,142,125,126,132,147,137,121,101,88,82,146,208,211,212,212,212
3,92,99,104,107,110,113,118,123,124,126,127,128,129,129,131,131,131,134,133,132,132,132,132,133,133,132,131,131,94,102,108,111,114,118,122,126,128,129,131,133,133,134,134,137,140,103,131,136,135,135,136,136,135,135,134,133,100,107,112,116,120,123,127,130,133,135,136,137,138,139,138,144,151,74,109,147,139,142,141,140,139,139,138,137,104,111,116,120,124,127,131,135,137,139,141,141,143,144,143,148,152,72,86,154,144,146,145,144,142,143,141,140,109,114,120,124,128,131,135,139,142,144,144,145,147,148,148,151,155,73,72,153,150,150,149,149,147,146,145,144,111,119,124,127,132,135,140,144,146,149,149,151,151,153,154,155,165,90,66,153,154,154,154,153,152,151,149,148,114,122,128,130,135,139,143,147,149,152,153,154,156,155,155,150,174,97,55,146,160,157,158,157,156,155,153,151,117,125,130,133,138,142,146,151,152,154,156,157,157,165,180,136,107,89,71,140,165,161,161,161,160,158,156,154,120,128,133,137,142,146,151,155,157,160,163,166,146,135,192,168,91,144,90,131,172,163,164,163,162,161,160,159,124,131,136,139,144,148,153,158,161,159,149,182,178,129,160,173,122,152,61,98,179,164,166,166,165,164,164,162,126,133,138,141,148,151,156,160,162,173,152,137,182,154,133,165,111,146,94,61,157,174,169,169,168,167,166,166,128,135,140,145,150,154,158,161,165,182,188,139,114,167,120,156,110,128,138,78,97,183,171,171,171,170,168,169,130,138,142,147,152,156,160,164,171,151,144,131,65,139,95,147,164,96,140,95,79,180,175,175,172,172,171,171,132,140,144,149,153,157,163,166,174,146,104,129,62,116,97,82,97,43,118,101,81,182,178,178,176,175,174,172,135,142,146,151,156,160,165,166,174,175,137,113,87,92,147,82,13,41,147,108,75,180,179,179,177,176,176,176,136,143,147,153,158,162,166,169,177,172,115,76,62,48,106,74,36,94,170,111,63,164,185,180,179,178,177,177,137,145,149,154,159,163,168,170,177,174,137,99,73,48,50,82,119,147,148,103,61,158,190,181,183,182,179,178,139,146,151,156,160,165,170,171,178,188,152,104,79,79,90,157,194,173,126,84,70,173,188,184,184,183,182,181,140,147,152,157,162,167,171,171,178,189,161,119,101,101,108,184,194,155,118,69,81,188,186,185,186,185,183,181,140,148,153,158,163,168,170,174,177,185,169,136,110,98,118,185,183,140,107,62,103,197,186,188,187,186,185,183,140,146,153,158,162,167,170,175,177,180,168,137,117,114,115,179,175,131,94,57,132,198,187,189,189,188,186,184,141,147,153,158,164,167,170,173,177,176,167,143,132,127,106,170,160,119,82,60,159,196,187,188,188,188,186,184,142,149,154,159,164,168,171,174,177,179,167,150,132,127,98,143,143,103,73,71,178,192,188,188,187,185,186,187,142,149,154,158,163,168,170,173,176,176,178,154,133,118,84,116,114,82,64,117,197,188,191,189,189,191,180,155,145,155,160,164,170,175,178,180,183,178,187,153,131,104,84,100,89,75,77,176,192,192,184,189,181,175,150,116,98,103,107,114,121,125,130,139,139,171,187,155,137,106,97,95,87,62,117,192,159,155,172,135,147,164,115,110,73,74,75,76,77,75,75,79,77,162,179,153,138,129,104,88,75,58,165,206,163,136,150,141,116,151,87,125,80,81,84,85,84,88,92,88,96,176,169,136,131,134,95,79,61,89,153,187,166,148,116,146,125,116,84,140
2,179,179,178,178,179,179,179,178,177,176,176,176,176,174,173,172,171,170,171,170,168,167,167,168,166,163,162,161,180,180,180,180,180,180,180,180,180,179,178,178,178,177,176,175,173,172,173,172,171,169,168,168,166,165,163,163,181,181,182,182,182,181,181,180,181,181,179,180,180,179,177,171,169,172,172,174,174,173,172,168,168,166,165,165,182,183,184,184,183,183,183,182,183,183,181,182,180,184,184,169,160,161,155,151,156,164,174,171,170,168,167,167,184,185,185,185,185,185,186,185,185,184,182,181,193,198,184,176,170,160,153,137,126,105,124,175,172,170,170,167,185,186,185,185,186,187,186,185,185,184,183,193,203,198,191,189,188,169,156,153,123,117,88,140,171,172,170,168,186,187,187,186,187,187,187,187,186,184,190,201,202,201,138,119,142,111,104,151,148,135,112,97,105,155,171,170,189,189,189,189,188,188,189,189,187,186,199,202,185,160,102,62,67,65,68,99,122,106,78,73,71,150,175,170,191,191,190,191,192,191,190,188,192,202,212,165,112,90,72,59,59,69,160,154,160,139,100,87,119,175,174,172,192,193,193,192,192,193,191,194,211,217,200,147,102,72,53,52,60,119,188,184,184,183,179,172,177,176,174,173,193,194,195,194,194,193,192,206,217,211,177,135,104,83,66,55,109,180,184,184,183,181,181,182,179,177,175,175,195,195,195,195,194,189,203,217,211,180,134,103,89,73,63,113,189,187,186,186,183,182,181,182,181,178,176,174,197,197,197,197,191,203,225,217,198,176,125,72,65,68,67,168,191,187,187,186,185,184,182,182,181,178,177,175,198,198,198,192,204,228,223,203,182,174,124,84,66,60,108,194,190,189,189,188,188,186,185,182,182,181,179,176,199,201,195,204,229,227,208,193,191,151,108,81,59,51,171,197,192,189,190,190,188,187,186,185,184,183,179,178,203,200,199,229,231,220,200,201,177,133,104,68,58,52,149,201,193,191,192,191,190,189,190,185,175,176,183,179,202,199,225,234,229,212,198,187,158,125,91,52,55,58,75,178,196,193,193,192,191,191,171,148,142,125,159,183,200,216,236,229,220,203,191,178,150,106,72,52,60,61,60,109,201,194,196,196,192,152,128,144,146,103,139,184,211,237,231,221,207,197,182,166,131,89,66,65,74,75,70,72,168,202,184,147,115,116,137,142,103,131,182,181,234,239,226,213,198,183,169,151,111,84,69,80,89,90,85,74,82,128,100,99,92,115,131,99,110,188,186,183,137,208,220,204,191,174,162,136,107,84,76,91,94,94,86,81,73,85,86,105,113,110,99,63,170,189,187,186,65,89,157,174,168,162,146,132,102,75,78,96,92,91,87,82,80,91,98,103,105,88,64,100,192,189,187,186,67,62,65,109,128,119,111,91,71,68,74,88,87,86,82,79,83,89,93,87,78,96,142,185,193,190,189,187,60,64,60,59,69,72,64,52,56,62,63,75,79,77,69,70,65,65,82,122,163,192,199,196,194,193,190,189,60,59,57,62,58,36,41,46,44,46,52,60,56,54,74,93,105,142,186,202,203,201,197,195,194,192,191,189,59,54,55,53,61,40,17,28,28,28,42,59,86,137,187,204,206,207,204,202,201,199,197,197,195,193,192,190,57,54,53,50,62,54,13,18,22,16,63,178,211,213,210,208,206,205,204,203,202,202,200,198,196,195,193,191,52,49,48,47,54,56,14,13,17,16,13,57,192,213,208,209,208,207,207,205,204,202,202,200,197,196,194,192
4,140,141,142,144,146,146,147,149,149,150,152,152,153,152,152,151,150,151,150,150,149,148,148,148,149,149,147,146,140,141,143,145,146,146,148,149,150,150,152,152,153,152,152,150,152,152,152,150,150,150,150,149,149,149,148,147,141,142,144,146,146,148,149,149,150,150,153,153,153,152,151,155,151,152,153,152,152,152,151,150,149,149,149,149,142,144,145,146,147,149,150,150,152,153,155,152,164,155,138,136,161,152,137,149,154,152,151,150,149,150,149,149,143,145,145,146,148,150,151,151,153,156,145,162,187,150,140,113,174,147,126,110,153,154,155,152,150,150,150,149,144,147,146,147,149,153,152,150,185,182,156,131,186,160,132,132,183,150,130,83,145,134,134,156,151,151,151,151,143,147,148,147,150,153,149,164,201,197,171,108,161,173,120,146,190,149,111,123,158,118,87,131,156,151,153,152,145,147,149,149,151,153,149,183,189,191,156,105,157,174,129,144,169,155,167,156,111,108,80,92,157,153,154,153,147,148,150,153,153,151,157,192,166,186,144,93,143,163,168,162,172,195,197,158,106,80,77,83,157,154,154,153,147,149,150,152,155,149,167,191,156,171,150,82,124,150,157,173,182,184,171,164,131,85,65,89,161,154,155,153,147,149,152,153,154,152,188,185,154,153,162,80,106,147,100,131,159,163,156,171,140,102,62,99,163,153,155,154,148,149,151,154,149,168,195,163,143,133,115,70,106,153,75,115,150,125,162,177,150,116,70,117,163,154,156,155,148,150,152,155,149,185,187,151,127,128,110,90,108,132,80,119,163,82,164,192,164,129,79,139,162,156,156,156,149,152,154,154,154,199,185,149,123,114,103,97,102,101,96,101,129,95,155,202,174,138,85,117,165,157,157,156,150,152,155,152,160,208,182,150,122,107,93,97,106,105,133,133,149,173,166,183,170,133,101,84,160,160,158,158,151,154,157,150,170,210,181,148,117,111,99,102,101,111,149,159,182,177,178,156,148,138,113,83,152,162,158,158,152,154,156,150,180,209,182,142,120,127,111,98,92,129,171,181,180,172,167,143,118,133,106,93,158,159,159,159,151,153,155,149,189,208,178,144,144,144,116,108,142,183,192,181,180,171,149,129,107,108,86,117,165,158,159,158,149,152,155,150,193,205,181,164,168,148,120,158,190,197,198,181,174,158,138,120,102,91,84,149,161,160,159,159,149,153,155,153,198,204,191,178,170,158,127,177,195,198,203,174,155,146,130,116,99,77,115,166,160,161,159,159,151,153,156,153,199,207,198,180,164,161,136,181,200,199,191,165,142,132,123,111,89,83,155,164,161,160,159,160,151,153,158,151,191,210,197,184,165,158,151,184,197,185,173,154,132,125,117,99,77,119,168,160,162,162,161,160,152,154,157,151,180,206,189,180,169,158,156,173,183,170,155,138,128,127,110,85,86,158,163,164,162,161,161,159,152,153,157,151,183,197,178,176,176,164,158,165,174,161,147,130,124,120,102,76,131,170,161,162,162,160,159,159,151,153,157,150,182,189,170,175,177,159,146,162,174,161,141,119,114,112,88,106,166,164,164,163,161,161,160,160,150,153,157,152,175,191,173,175,167,159,141,155,176,156,126,105,107,99,91,153,164,162,163,162,160,159,159,159,109,109,113,102,150,201,181,181,166,160,144,146,172,144,114,101,100,89,88,103,102,101,101,101,100,102,101,97,84,82,87,72,130,212,192,186,173,166,149,138,168,144,113,99,92,83,78,77,75,76,75,75,76,74,78,135
12,221,221,223,225,226,229,230,229,229,228,228,228,228,227,226,224,225,225,223,223,223,221,221,220,218,216,216,216,221,222,224,226,228,230,231,230,231,232,231,231,229,229,230,231,230,225,226,225,222,222,222,220,219,218,220,218,223,224,224,228,231,230,231,232,232,233,232,234,231,230,216,197,218,229,218,221,235,226,223,221,221,221,221,221,224,224,226,230,231,232,233,233,233,234,233,234,231,227,188,137,104,206,181,133,142,221,231,224,220,222,222,222,225,226,230,231,231,233,233,234,235,236,232,232,236,200,160,123,102,184,153,124,46,150,216,217,232,222,223,222,226,229,230,232,234,233,234,237,234,234,222,173,209,202,182,91,149,209,160,119,101,174,150,101,165,234,222,222,228,230,230,233,236,236,235,236,236,243,226,156,187,247,186,85,199,227,163,124,142,157,131,87,55,170,235,222,229,230,231,234,235,237,237,235,247,255,231,170,165,232,149,81,230,226,141,128,200,175,132,94,63,84,233,223,230,232,233,234,236,239,240,234,255,242,220,166,103,110,114,55,138,163,76,148,244,176,154,87,44,74,227,226,232,233,235,235,239,240,237,244,255,237,190,142,106,33,20,86,146,171,138,197,243,169,113,54,41,82,231,224,232,234,235,237,239,238,243,255,237,225,164,125,99,23,107,224,232,216,199,218,165,107,80,79,52,84,239,227,233,235,238,239,240,236,255,255,219,178,162,183,92,139,245,234,217,206,182,197,197,127,128,122,69,124,243,226,234,236,239,239,240,241,255,255,226,195,161,191,177,255,245,222,211,217,191,192,190,142,104,107,58,190,240,228,235,238,239,241,241,247,255,255,241,236,197,199,232,239,245,218,222,209,178,193,168,119,85,70,60,226,233,230,236,239,241,242,241,250,255,255,250,235,220,206,222,224,230,218,217,197,189,184,144,96,76,46,93,247,229,231,237,240,243,244,244,250,255,255,251,226,206,205,209,219,226,216,212,192,184,153,112,77,69,33,138,252,229,233,237,239,242,242,242,248,255,255,234,206,199,211,210,225,232,215,200,183,155,115,84,67,61,26,179,251,234,233,236,240,243,243,244,248,251,242,227,224,221,214,214,238,224,202,176,164,133,96,77,66,37,66,237,240,236,233,238,242,242,246,246,254,255,255,255,249,231,207,210,236,208,176,150,140,108,86,77,39,47,205,245,237,237,237,240,241,243,246,245,255,255,255,255,238,223,206,203,224,192,155,134,113,93,75,38,72,207,247,236,239,238,238,240,243,244,244,248,255,255,255,250,224,211,207,209,204,173,143,118,98,64,52,141,236,250,240,241,240,241,239,238,242,244,241,252,255,255,253,241,222,204,204,209,191,162,126,92,57,66,201,255,242,241,242,241,241,240,238,247,242,242,237,255,255,249,234,232,219,193,199,194,165,142,117,69,51,205,254,240,243,240,241,241,239,238,235,189,240,250,242,255,238,230,221,218,204,203,198,184,149,119,97,53,161,252,240,244,243,242,240,240,239,238,237,76,80,160,255,243,218,207,203,202,213,202,185,174,136,107,71,74,233,247,246,244,244,242,241,241,240,239,239,88,66,59,195,230,206,193,202,215,219,187,167,159,121,95,45,133,255,247,247,247,244,242,242,241,240,240,239,75,79,80,57,82,101,97,107,130,152,148,148,139,106,77,42,200,255,246,248,247,245,244,242,241,240,242,238,74,70,78,61,0,21,29,24,22,25,33,56,79,80,41,85,237,248,247,248,248,246,244,241,240,240,239,239
21,77,86,99,113,122,129,134,138,142,144,145,151,154,156,158,160,161,164,165,166,166,166,167,168,168,168,168,168,78,88,102,115,124,131,136,138,144,167,115,122,158,157,160,163,164,165,166,168,169,169,169,170,169,169,170,169,79,87,104,117,126,132,137,140,150,178,106,102,161,158,162,165,165,167,166,169,170,171,171,171,172,171,171,171,81,88,105,119,127,133,138,142,151,177,115,96,160,160,163,166,168,168,168,171,173,173,173,173,173,173,173,172,83,90,107,121,128,135,140,144,150,173,119,93,158,163,165,166,169,171,172,168,141,166,176,175,175,175,174,175,85,93,109,121,131,137,140,146,151,175,130,93,155,165,166,169,171,171,175,150,98,143,180,178,177,177,177,177,86,95,112,122,132,138,143,147,151,174,135,94,147,167,169,171,173,177,171,134,97,167,181,178,178,179,179,179,88,97,113,124,133,140,145,149,149,175,137,96,131,170,170,172,174,181,158,114,119,184,180,179,180,180,180,179,87,98,114,125,133,140,146,150,150,184,144,100,123,172,171,172,178,176,143,102,161,184,182,182,182,181,181,180,89,99,118,127,133,140,145,150,151,192,152,110,123,172,171,174,176,157,122,116,184,182,184,184,183,182,182,182,90,102,118,127,136,141,146,150,150,179,141,107,117,175,172,179,175,148,98,153,186,183,184,185,185,184,184,183,90,103,119,128,136,142,152,166,136,152,119,97,112,176,172,177,172,129,110,183,184,184,185,185,185,185,185,185,92,105,121,130,136,139,174,196,138,114,93,85,107,161,164,169,155,100,152,188,186,186,186,186,186,186,186,186,93,107,122,131,138,141,168,175,130,89,75,82,114,151,158,151,117,104,184,185,185,187,187,187,187,188,187,186,93,108,123,131,136,165,184,142,122,95,67,73,102,134,139,122,88,148,189,186,187,187,188,188,188,188,188,187,94,110,123,131,140,203,180,166,140,127,80,67,92,111,122,105,98,182,187,187,188,189,189,189,189,188,188,188,96,111,124,131,159,178,176,192,179,144,94,71,83,94,105,87,134,189,186,188,188,189,189,189,189,189,189,189,97,114,125,130,175,158,168,186,183,125,86,76,76,88,89,78,163,189,188,189,189,190,189,189,190,190,189,189,98,114,124,134,186,151,136,118,144,116,93,82,76,75,80,79,167,190,188,190,191,191,192,192,191,191,190,189,99,115,125,142,180,133,119,117,129,127,102,83,76,77,76,76,164,191,189,191,191,192,193,194,193,192,192,191,100,116,124,151,186,155,146,125,126,159,112,91,84,78,74,77,168,192,191,192,192,192,193,193,193,193,192,192,102,117,124,155,183,168,145,126,185,196,128,111,95,75,73,79,175,191,191,192,193,193,193,194,194,193,193,193,103,117,124,156,194,170,137,143,209,180,135,113,98,75,71,91,184,190,191,193,194,193,193,194,194,194,194,194,104,118,125,153,188,150,142,150,194,155,125,106,98,80,70,109,191,190,191,193,194,194,194,195,195,195,195,194,106,119,128,146,175,145,154,145,181,149,132,103,91,79,68,128,193,190,192,193,194,195,195,196,196,196,195,195,107,118,127,140,161,161,169,145,181,149,132,118,85,76,69,141,194,190,193,194,195,196,197,196,196,197,196,195,105,116,126,135,160,178,156,140,178,141,117,106,82,73,73,161,190,189,192,194,193,194,195,195,196,196,196,195,105,115,126,134,153,175,155,132,156,126,100,87,76,69,78,171,187,188,190,191,192,193,194,195,195,195,195,195
20,176,177,177,178,178,179,179,179,180,180,179,179,178,179,178,176,177,175,173,172,171,169,168,167,166,164,163,161,179,179,180,182,181,182,181,182,182,183,182,182,181,180,178,179,178,177,176,175,173,172,170,168,167,165,164,163,183,183,185,184,184,185,185,184,185,185,185,185,183,191,185,140,183,184,178,178,177,175,174,172,171,168,167,166,186,187,189,188,188,188,189,189,188,188,188,189,186,193,196,127,146,170,184,179,179,178,177,175,174,172,170,168,189,191,191,192,192,192,193,192,191,192,192,192,191,195,196,124,108,127,173,187,182,180,179,178,176,174,173,170,193,193,194,195,195,196,196,195,195,195,196,196,193,201,193,108,138,146,144,195,185,185,183,182,179,178,176,174,196,196,197,198,199,199,198,199,199,198,199,200,196,206,193,109,159,164,124,196,189,188,186,185,183,181,180,178,200,201,201,201,202,202,202,202,203,202,203,203,198,215,198,118,161,175,121,193,193,191,190,189,186,184,182,180,204,204,204,204,205,205,205,204,205,206,206,205,201,222,183,110,170,192,125,186,199,194,193,192,190,186,185,184,206,205,206,206,207,208,207,207,207,209,209,207,207,231,170,115,189,190,121,182,203,197,195,194,194,191,188,186,209,209,209,210,211,210,210,211,210,211,211,195,182,209,180,127,196,190,116,178,207,198,198,197,195,193,191,190,212,212,212,212,213,213,213,213,213,213,213,221,207,179,161,126,171,196,131,175,209,201,200,199,197,195,194,192,213,214,214,214,216,216,216,215,215,215,215,201,218,198,173,148,154,192,136,169,212,202,203,201,200,197,196,194,215,216,217,217,218,217,218,217,217,217,220,190,152,185,205,148,111,148,125,161,216,205,205,204,202,200,198,196,217,218,219,218,219,218,219,219,219,219,222,208,101,155,203,157,109,102,102,151,219,205,206,205,204,202,199,197,219,219,220,219,220,219,220,220,220,220,223,201,118,131,191,184,138,125,94,134,221,209,209,207,206,204,201,199,220,220,221,221,220,221,222,221,222,218,215,195,161,123,116,171,166,148,101,114,221,210,210,209,207,205,203,200,221,222,222,222,223,223,223,224,222,219,213,202,186,151,109,137,163,149,110,100,215,215,213,212,208,207,205,202,223,224,224,224,224,224,224,225,219,210,170,164,194,172,129,118,148,178,142,94,195,223,213,213,211,209,206,204,225,225,225,225,225,225,227,226,216,212,183,117,135,177,117,99,124,180,171,107,138,228,214,214,213,211,208,206,226,226,226,227,227,228,228,228,218,206,177,137,98,140,116,96,144,199,193,134,98,212,220,216,213,212,211,208,228,228,228,229,229,229,229,230,218,209,201,161,108,129,135,117,199,215,186,130,101,214,221,217,216,213,212,209,229,230,230,230,231,231,230,232,217,211,214,160,129,134,179,201,225,194,172,103,121,227,218,219,217,214,211,210,231,231,231,232,232,231,231,234,219,209,208,175,140,131,210,234,213,175,156,93,155,232,217,219,218,215,212,212,231,231,232,233,233,233,232,236,221,198,194,177,143,130,202,213,193,161,137,93,188,230,219,219,219,217,213,211,230,231,231,231,232,232,232,235,226,196,193,176,152,138,196,210,182,149,116,98,217,225,220,219,218,216,217,221,231,232,232,232,232,233,234,233,234,204,190,180,165,139,187,204,168,132,89,142,234,221,220,219,218,221,210,165,233,233,233,233,233,234,235,235,237,213,196,181,163,135,160,175,139,108,82,201,230,222,222,219,211,172,119,75
15,63,65,64,65,68,69,71,73,76,79,88,100,111,119,127,132,135,137,138,142,146,151,153,155,158,160,162,163,66,65,64,66,67,71,70,73,76,79,88,101,111,120,125,131,135,137,140,143,147,151,155,156,159,161,163,166,67,65,65,65,67,71,72,74,76,80,92,102,110,121,126,132,136,139,142,144,148,151,155,157,159,162,165,166,67,65,65,65,67,70,64,71,78,81,92,102,111,120,127,133,137,140,142,145,150,152,157,158,161,164,167,170,67,65,65,66,64,66,112,90,72,77,92,104,115,121,127,135,137,139,142,145,150,152,157,159,161,166,167,170,66,64,64,67,58,87,185,153,125,101,94,101,110,121,132,137,139,139,141,145,150,154,157,161,164,165,167,169,67,65,65,66,62,75,151,158,142,148,132,127,115,111,119,127,133,138,143,149,155,156,158,160,164,165,167,171,66,66,66,67,67,63,82,116,101,119,133,140,139,134,119,118,116,120,124,127,136,148,158,166,163,167,169,171,66,65,65,66,67,69,68,75,78,91,104,102,126,141,134,129,125,130,133,125,106,102,91,133,173,165,172,173,65,64,65,66,67,68,72,74,74,83,91,87,96,118,117,114,107,123,149,154,132,111,89,57,134,179,168,174,65,65,65,65,66,68,71,75,74,83,97,107,112,113,111,111,92,121,146,150,138,126,119,83,68,155,176,172,67,65,64,65,67,69,70,74,74,83,96,105,117,126,129,128,121,157,152,145,148,145,134,115,85,72,163,178,67,65,65,65,66,69,71,72,76,85,91,107,118,122,135,138,158,182,137,124,161,141,147,139,110,65,78,174,66,65,65,65,67,70,70,74,76,78,124,130,124,125,115,135,173,134,120,95,167,123,157,158,116,86,54,94,64,65,65,65,67,67,69,72,73,80,157,148,148,156,141,107,114,95,61,70,154,105,161,158,118,91,69,52,65,64,65,64,65,67,69,71,74,83,121,124,153,178,157,111,110,113,81,82,124,123,152,150,119,97,71,62,65,64,64,63,62,66,69,71,74,82,95,111,136,162,133,114,135,127,123,124,117,115,101,118,111,90,68,62,62,62,62,62,62,63,65,68,71,82,96,105,119,118,97,118,136,129,129,141,138,111,70,75,88,78,71,66,62,58,60,61,62,64,64,66,70,82,96,106,106,152,126,90,106,130,137,141,138,103,69,67,73,70,73,74,61,58,58,59,61,62,65,66,71,81,95,109,102,174,171,92,34,53,114,128,130,98,71,73,72,70,76,76,61,59,57,58,60,61,64,65,70,83,95,108,107,159,158,88,37,25,43,105,105,78,69,74,74,73,76,77,61,58,57,57,60,61,63,63,70,82,95,108,106,156,160,70,63,69,30,71,103,75,73,77,83,80,77,73,58,56,55,56,58,61,63,61,67,78,93,106,107,149,158,54,109,92,72,79,97,113,97,94,85,81,76,71,57,56,54,54,57,58,61,62,67,79,91,103,103,150,166,40,109,147,66,114,102,106,84,79,74,73,73,73,51,49,47,46,50,50,52,53,57,71,86,99,98,158,153,41,91,175,82,80,153,70,72,67,56,61,63,63,111,108,104,100,97,96,95,95,98,102,110,115,115,140,95,59,127,152,84,100,162,128,147,115,46,43,45,44,91,90,88,88,85,87,90,93,93,91,88,83,82,89,64,74,98,93,82,95,100,104,101,101,69,48,48,58,79,77,77,76,75,75,76,75,75,77,76,71,70,74,80,81,76,75,79,79,76,74,74,75,80,75,81,79
1,144,145,145,145,146,145,145,146,145,143,143,144,142,140,139,136,136,138,135,134,134,132,130,127,134,72,4,0,144,145,147,146,148,148,146,147,146,145,144,144,143,141,141,145,135,113,135,136,134,134,133,129,136,45,0,2,146,147,149,149,149,150,149,148,148,148,146,145,144,144,129,120,142,73,108,144,138,134,134,131,136,30,5,4,148,149,150,151,152,151,150,149,149,149,147,146,145,148,126,54,103,80,69,109,113,140,134,131,136,55,5,0,150,150,152,152,152,152,150,151,152,150,148,144,140,157,123,50,72,74,67,107,60,135,136,132,142,55,0,0,151,152,153,154,155,154,152,151,152,150,151,141,88,105,114,41,91,90,67,115,47,120,141,132,142,64,0,0,152,153,155,156,156,156,155,154,153,150,157,132,64,62,120,43,91,104,48,99,44,112,144,134,141,102,46,59,153,155,156,156,156,156,157,156,156,153,158,126,56,68,112,44,66,84,50,118,52,102,147,136,140,112,118,123,154,156,158,158,158,158,158,157,156,154,165,131,66,58,87,37,65,66,53,124,60,85,149,138,140,113,108,80,156,158,159,159,159,159,159,158,158,156,170,117,63,63,88,40,88,77,50,108,54,82,152,139,141,125,108,62,157,158,160,161,160,161,160,160,159,158,166,116,60,78,105,46,75,79,46,103,53,87,153,141,142,135,118,102,158,159,162,163,162,162,163,162,160,162,171,122,85,55,80,30,51,50,65,117,64,87,153,141,142,140,123,115,159,161,162,162,162,163,162,162,160,166,161,114,68,35,36,23,47,20,65,109,62,80,155,142,143,142,137,111,160,163,164,164,164,164,163,163,162,167,154,114,93,87,71,66,46,49,75,83,40,92,158,143,144,142,142,130,163,164,163,165,165,165,165,165,161,177,165,130,123,95,142,93,91,86,109,79,26,128,154,147,145,143,142,142,163,164,165,166,167,166,167,167,163,188,155,125,98,64,116,117,119,106,98,77,48,144,151,148,146,144,144,141,164,165,166,168,168,168,168,167,169,186,145,100,76,53,35,89,114,93,104,99,52,110,159,148,147,144,143,141,165,166,168,170,169,169,170,167,173,191,152,115,89,51,36,30,61,75,131,123,67,70,161,147,148,146,144,142,167,168,168,170,171,170,171,168,176,186,150,129,84,62,55,32,111,100,107,143,91,40,137,154,148,148,147,143,169,170,170,171,171,172,172,170,178,180,151,132,72,69,44,82,154,135,107,119,102,34,90,162,147,149,146,144,169,171,172,172,172,172,173,171,177,177,157,133,67,73,53,134,156,136,115,88,79,46,66,162,149,149,146,144,170,172,172,173,174,173,175,172,176,176,159,117,77,61,79,159,153,132,101,88,58,30,99,162,149,150,148,144,171,172,173,174,175,175,176,173,177,173,153,112,95,48,101,161,142,121,91,77,56,27,144,157,151,150,147,148,171,172,173,175,174,174,174,172,172,167,147,120,103,51,118,156,129,109,89,70,32,63,167,153,153,151,149,150,169,171,172,172,171,172,171,171,167,161,143,128,108,61,120,143,115,102,85,55,18,128,162,152,151,148,148,147,170,172,173,174,174,177,180,171,166,164,141,134,106,59,110,126,101,89,71,21,66,167,154,153,153,157,159,102,172,174,174,174,179,166,148,177,159,151,144,134,79,54,88,101,82,68,32,35,154,159,159,161,149,131,85,26,171,173,174,173,187,113,27,80,120,124,119,92,49,54,69,79,60,37,12,129,168,159,144,89,43,15,6,14
12,195,197,199,200,201,202,202,203,208,209,207,212,215,212,211,212,215,215,215,216,213,215,214,214,214,214,215,216,196,198,199,201,202,203,202,205,208,204,209,201,195,214,216,206,193,203,216,214,215,217,217,215,215,215,216,216,198,199,200,201,203,203,204,208,206,231,235,190,151,156,232,204,171,143,208,223,220,218,218,217,216,215,216,216,198,200,200,202,204,205,209,202,229,255,242,183,165,128,222,196,175,144,150,178,190,217,217,216,217,217,218,218,198,200,201,203,204,205,208,204,251,233,233,200,203,134,192,215,191,147,119,159,137,150,222,219,220,221,220,220,200,201,203,204,204,207,206,213,255,204,214,218,193,138,178,227,198,139,132,173,154,102,194,230,219,221,221,220,201,203,204,206,209,209,207,224,255,202,219,192,158,113,100,187,159,121,147,191,165,118,189,229,219,222,221,220,202,204,206,208,207,212,200,192,236,155,207,199,170,123,76,112,104,86,208,209,162,119,208,225,222,224,222,220,203,204,207,206,213,238,206,169,151,135,170,203,194,194,171,161,141,95,173,177,132,118,224,222,224,224,222,221,204,207,209,202,249,255,216,188,139,137,165,174,172,194,200,198,198,147,92,103,104,143,235,224,224,223,222,221,206,211,202,229,255,249,233,197,154,139,178,160,130,158,163,201,226,191,136,81,89,178,237,223,224,223,221,221,206,210,202,255,232,232,239,207,164,133,133,147,125,128,139,217,230,217,189,115,87,205,232,226,225,223,222,222,206,203,227,255,198,183,226,210,178,147,122,135,124,142,168,214,223,226,215,160,107,220,229,228,225,225,224,223,206,202,246,241,216,189,182,218,184,146,123,136,123,138,151,201,231,219,221,194,129,221,230,227,225,225,225,224,206,203,255,249,227,192,147,201,194,146,125,121,125,141,170,188,205,225,202,209,142,194,237,224,228,226,227,227,205,206,250,216,182,157,127,146,209,165,153,113,139,143,194,225,209,209,195,185,162,148,238,227,229,228,229,229,205,209,255,231,206,179,157,135,182,193,193,138,148,170,226,232,227,206,184,168,158,132,235,229,229,230,229,228,209,209,255,243,211,186,172,148,142,176,168,154,165,217,245,234,227,205,184,161,135,150,239,228,230,229,229,229,210,212,255,245,217,197,181,150,146,178,142,158,198,244,246,233,222,204,186,161,120,170,242,229,231,231,230,230,209,216,255,249,224,207,191,159,150,189,165,192,236,255,244,231,216,201,185,160,113,186,241,230,230,231,230,230,208,221,255,249,224,213,198,177,155,180,185,209,255,255,244,227,210,199,182,154,109,206,237,231,230,230,230,230,205,224,255,251,231,218,200,195,169,175,199,210,255,253,238,223,208,199,174,145,119,224,235,231,232,231,230,230,207,221,255,255,243,221,207,200,187,171,207,209,255,247,228,220,208,195,170,134,131,233,231,231,233,232,231,231,213,214,255,255,250,231,215,208,199,175,204,211,255,244,217,212,206,189,168,124,155,242,229,233,233,231,231,231,213,209,252,255,249,235,221,216,203,180,190,207,251,240,214,209,203,179,162,113,191,240,229,233,234,232,232,231,213,207,242,255,251,241,227,217,202,187,185,192,237,236,210,204,196,179,153,118,219,236,232,232,235,233,232,232,214,208,230,255,255,240,226,211,195,188,189,187,219,226,199,194,191,182,133,141,241,230,233,234,234,233,232,232,213,207,234,255,251,230,221,208,193,183,188,188,207,213,193,188,191,174,117,184,243,230,233,234,233,232,234,231
14,162,162,162,163,163,164,164,164,163,163,162,162,162,161,159,159,158,157,156,156,154,153,153,151,150,149,147,146,163,163,164,164,165,166,165,166,166,165,165,164,163,163,162,161,160,159,157,158,157,155,154,153,152,151,150,149,164,165,165,166,167,168,168,168,167,166,166,166,165,163,163,162,161,160,159,159,157,156,156,155,153,151,151,150,165,166,167,168,168,169,168,168,169,169,167,167,168,165,163,162,162,162,160,159,158,158,156,156,155,152,152,151,167,167,168,169,169,169,170,170,170,172,171,166,159,168,169,169,164,163,162,161,160,159,157,157,156,155,153,152,168,169,169,170,170,171,173,172,170,159,151,144,108,119,125,147,163,167,166,162,162,160,159,157,158,156,154,152,169,170,171,172,172,173,173,168,151,135,116,96,75,82,99,104,123,134,153,166,163,162,161,159,159,157,156,154,170,171,172,172,172,173,174,165,140,107,83,75,77,73,87,98,107,93,120,175,163,163,162,160,159,158,157,155,170,172,173,174,174,170,165,148,114,70,65,67,68,66,69,72,86,74,88,152,167,163,163,162,160,159,158,156,171,173,174,175,175,162,151,124,84,69,63,63,67,67,69,68,74,83,82,89,162,166,164,163,162,161,158,157,173,174,175,175,174,157,139,92,70,73,68,67,67,64,66,68,69,82,77,100,173,166,165,163,162,161,159,158,175,175,175,175,175,163,142,88,68,67,67,72,66,83,154,142,146,91,77,85,145,172,166,164,163,162,161,159,174,176,177,176,176,164,143,97,66,64,65,72,62,138,187,178,183,162,114,88,95,119,157,167,162,162,161,159,175,176,177,177,176,164,141,93,72,74,67,58,117,183,175,175,173,179,162,106,109,92,138,172,163,163,163,162,176,176,177,178,176,168,144,99,81,79,72,76,175,179,179,177,176,174,123,110,109,91,151,171,165,164,163,163,177,177,178,180,176,170,152,114,90,77,68,87,181,178,179,177,180,148,106,110,97,100,172,168,167,165,164,163,177,179,180,179,174,168,156,118,95,78,62,110,193,178,177,180,171,108,100,106,83,130,177,168,168,167,165,164,178,179,180,179,171,170,155,124,100,78,66,85,159,179,185,181,134,102,94,96,73,159,173,169,168,167,165,163,177,179,180,179,172,168,154,126,98,78,75,72,81,100,154,138,101,109,102,73,124,178,170,170,169,168,166,164,178,179,181,178,171,173,156,125,104,82,74,79,85,87,90,89,96,103,84,109,179,172,171,170,169,169,167,165,179,179,182,176,171,177,155,124,104,84,73,79,86,91,95,90,93,95,92,174,176,173,172,170,169,168,167,166,179,180,183,174,172,175,150,120,106,86,73,79,86,89,95,96,87,75,152,182,174,174,172,171,170,169,167,166,180,181,182,173,173,171,148,120,110,90,73,79,88,91,94,95,75,110,184,175,175,175,173,172,170,169,168,166,179,180,182,172,174,165,143,122,111,90,73,81,91,95,96,83,88,180,179,177,176,175,174,173,172,170,168,167,180,181,182,171,170,156,138,118,108,89,72,81,92,92,90,66,132,189,177,179,177,175,174,174,172,170,168,167,181,182,182,171,165,154,136,117,105,89,73,80,89,90,75,86,182,180,179,179,178,176,175,174,172,171,169,167,180,183,181,171,160,152,132,112,99,86,74,79,85,81,67,158,187,180,180,179,178,176,175,174,173,171,170,168,180,181,180,171,155,148,128,110,94,82,73,76,76,66,140,191,181,182,181,179,178,176,176,174,173,171,169,168
2,180,180,179,180,180,180,179,178,177,176,175,174,174,172,171,170,168,168,167,165,165,164,163,161,160,159,157,155,182,182,182,182,182,182,181,180,180,179,177,176,175,174,173,172,171,169,166,168,167,166,165,163,162,160,159,157,185,185,186,185,185,184,182,182,181,181,179,178,177,177,175,170,162,151,123,136,161,165,166,165,164,161,160,159,187,187,187,187,186,186,185,184,184,183,182,180,175,169,164,153,133,108,77,70,116,134,129,165,166,164,162,160,189,189,189,189,189,188,187,187,186,186,184,179,166,161,151,120,87,65,52,59,88,100,81,148,167,166,165,163,191,191,191,190,190,190,189,189,189,188,184,172,166,145,108,63,47,45,41,43,54,61,53,94,169,169,167,165,193,193,193,192,192,192,191,191,190,188,179,173,151,97,58,41,34,39,38,35,40,47,51,111,172,171,168,167,195,195,195,195,195,195,193,192,192,186,178,168,119,59,47,39,39,38,45,66,67,73,102,162,175,172,171,169,197,197,197,197,196,196,195,194,193,183,177,150,89,49,45,41,46,71,123,165,165,167,174,177,176,174,172,170,200,199,199,199,199,198,197,196,189,181,169,119,60,41,45,46,121,173,184,184,184,182,180,179,178,176,174,172,200,200,200,201,201,200,200,193,181,186,163,105,63,47,45,68,176,188,186,185,185,184,182,181,179,178,176,174,202,201,202,202,201,201,201,181,186,189,154,103,71,51,44,129,190,189,188,188,187,185,183,182,181,180,178,176,203,203,204,204,203,203,194,177,193,181,145,102,67,49,80,184,193,192,192,191,188,187,185,184,182,180,179,178,204,204,205,205,205,204,182,182,199,172,131,90,58,47,111,198,194,194,194,192,189,188,186,186,183,182,180,179,206,205,206,206,206,200,175,193,198,158,122,87,57,47,141,200,196,195,194,192,191,188,187,187,185,184,182,180,208,207,207,207,208,188,183,203,187,141,117,84,54,54,174,200,198,196,195,194,192,191,187,179,168,168,180,181,208,208,208,209,205,180,198,200,167,135,121,82,52,48,140,197,199,197,195,194,194,178,148,129,119,111,136,179,208,208,209,210,194,187,203,185,151,141,118,75,47,48,68,118,186,200,198,189,157,115,106,113,109,96,114,177,210,210,210,208,187,194,196,174,147,138,107,66,44,52,63,67,116,187,165,128,101,95,111,108,93,127,174,184,211,211,212,200,188,193,188,165,144,129,91,56,49,63,69,69,73,92,90,94,101,100,94,84,138,184,188,185,214,213,211,192,192,191,180,155,136,115,80,53,64,75,76,75,73,68,82,90,90,82,80,138,189,191,188,187,214,214,203,194,195,188,171,148,125,105,75,58,75,77,76,75,71,65,71,75,92,134,170,192,193,193,190,189,214,208,197,197,195,185,166,134,110,99,71,65,75,75,71,67,61,54,73,131,179,199,197,195,194,194,192,190,213,197,194,187,189,179,150,118,100,86,62,66,72,72,65,56,74,114,169,200,202,201,199,198,196,194,193,191,201,189,180,182,177,161,128,94,79,65,60,62,63,59,53,95,176,204,205,203,203,201,200,199,196,194,193,192,192,184,171,175,165,150,114,81,72,61,56,51,56,76,134,196,208,208,205,204,203,202,201,200,198,195,194,193,191,178,171,176,169,151,101,78,68,60,83,127,161,192,210,210,208,207,206,204,203,202,201,200,199,196,195,193,187,175,170,175,167,143,89,73,63,87,183,212,214,211,209,209,208,206,206,205,203,201,201,200,198,196,195,193
1,106,115,98,80,81,71,86,30,67,98,113,123,167,132,113,152,151,158,159,163,166,170,171,174,175,177,180,180,109,119,96,84,79,77,84,30,75,101,119,127,169,146,99,152,120,148,164,164,168,171,173,177,178,179,181,181,112,121,92,88,76,85,78,32,82,98,156,138,138,168,109,165,117,116,170,165,170,171,175,177,179,179,181,183,115,121,90,92,76,92,68,36,86,100,168,147,125,171,114,166,146,102,166,168,171,173,176,178,180,181,183,184,119,119,88,94,75,97,59,42,92,103,170,154,125,188,140,151,160,101,157,174,171,175,178,179,181,184,186,186,123,118,91,98,76,103,49,50,94,103,169,160,126,197,149,145,183,115,141,178,174,177,180,182,184,187,187,188,126,115,95,101,79,107,43,54,126,127,161,184,131,187,152,149,197,132,123,180,177,179,181,185,187,189,188,190,131,114,100,100,82,108,38,61,165,134,153,186,129,175,158,139,190,146,114,178,178,180,184,187,188,190,190,191,133,112,103,98,88,105,33,71,169,129,148,186,125,173,173,132,187,156,112,177,181,182,186,189,190,192,193,194,133,109,107,96,95,101,32,77,174,133,142,194,125,167,186,129,192,166,114,172,183,185,188,190,192,194,195,194,134,108,112,93,103,91,34,80,180,155,138,198,136,142,187,122,179,170,108,165,189,187,189,192,194,195,195,196,130,109,116,91,111,81,39,83,175,159,121,197,142,112,178,113,160,181,109,156,192,186,190,194,195,196,197,196,129,110,117,88,118,70,44,86,163,166,114,179,152,144,165,157,174,155,105,138,194,187,192,194,196,199,198,197,128,111,117,88,123,60,50,87,160,184,115,158,177,154,137,171,172,117,91,121,195,190,193,196,197,198,199,201,125,114,117,86,126,50,57,89,161,172,138,169,169,167,159,197,186,125,85,100,188,192,195,197,198,199,202,202,123,117,117,88,126,42,63,91,163,177,177,158,157,163,171,186,179,153,103,80,177,196,194,197,199,200,201,203,123,120,114,93,126,35,69,93,177,196,168,145,143,149,156,152,175,179,137,81,157,201,194,198,199,200,201,204,119,126,112,101,122,30,73,95,186,190,154,135,143,153,169,184,189,197,171,105,129,202,195,199,199,201,202,203,119,129,109,108,115,29,78,95,173,189,147,130,151,153,177,209,194,197,183,129,110,198,196,199,200,202,202,202,121,131,104,114,104,29,84,95,154,194,157,138,143,161,181,209,205,187,170,124,108,197,196,199,201,202,203,204,122,132,99,122,96,30,86,99,130,191,165,144,140,167,183,210,206,184,159,111,115,201,195,198,202,203,204,205,122,135,97,129,86,33,87,103,115,178,180,155,138,161,182,206,203,179,154,106,118,202,195,199,201,203,204,204,126,137,95,138,76,37,89,103,111,160,188,164,150,149,176,202,193,170,152,103,118,202,196,200,202,203,204,204,130,140,95,147,67,41,90,102,112,135,180,172,165,150,167,195,184,162,145,99,124,202,196,201,202,203,203,204,135,140,97,150,57,45,88,99,112,122,156,178,170,162,156,174,178,155,139,95,141,201,194,198,199,200,201,202,139,137,99,152,47,49,85,97,110,121,133,173,173,165,148,152,165,142,130,99,167,197,193,196,197,198,200,201,142,132,104,152,38,52,84,95,107,122,124,165,174,157,142,142,143,137,128,99,178,191,191,195,197,199,200,200,145,128,109,146,36,57,80,87,98,114,117,155,169,146,145,150,144,137,120,95,179,188,188,192,194,196,197,196
24,172,173,174,174,174,175,177,177,177,177,178,177,177,177,177,176,175,174,173,172,171,170,169,168,167,165,164,163,175,176,177,178,178,179,179,180,180,180,180,179,180,180,179,179,179,178,176,175,174,173,171,171,170,168,167,166,178,179,180,181,182,182,182,184,184,184,184,182,182,183,183,182,181,180,180,179,178,177,173,164,162,172,171,169,180,182,183,183,185,186,186,187,186,186,186,186,186,185,185,185,184,184,182,181,180,179,179,154,119,169,173,171,183,185,186,187,187,187,188,187,188,189,189,188,188,187,187,187,186,186,185,184,183,181,184,154,103,164,175,174,186,187,187,188,189,190,191,191,192,187,182,191,190,190,190,189,189,188,187,186,186,184,190,153,103,167,179,177,188,189,190,191,192,193,193,193,194,179,132,172,195,194,194,194,193,191,190,189,188,187,193,145,107,174,181,179,191,192,194,195,195,195,195,196,197,171,121,128,195,196,197,196,195,194,193,192,191,193,195,143,115,182,183,182,194,195,196,197,197,197,197,197,199,183,138,104,183,199,197,198,198,196,195,194,192,199,187,130,124,187,186,184,196,197,198,198,199,200,200,200,200,195,156,103,160,202,199,199,200,199,197,197,194,204,174,109,137,190,187,187,198,199,200,201,201,201,201,201,201,202,173,118,128,202,202,202,198,193,198,189,157,159,167,104,162,192,190,189,200,201,202,203,203,202,203,203,203,204,187,140,104,188,206,199,176,152,164,170,134,97,119,109,183,195,193,191,202,203,203,204,204,205,205,205,205,206,195,152,98,153,209,190,177,158,141,136,130,122,90,108,193,196,195,193,203,204,206,206,207,207,207,207,208,208,202,168,126,120,197,178,184,160,147,143,149,145,83,121,200,197,195,194,205,206,207,208,208,209,209,209,209,209,208,187,156,103,148,151,183,173,138,134,139,137,94,124,202,198,197,195,207,207,209,209,209,210,211,211,210,210,212,199,166,125,127,133,162,179,120,78,117,158,118,98,192,201,199,197,207,208,210,211,211,211,211,211,212,213,214,205,188,172,128,107,128,166,109,61,96,164,140,91,149,203,200,198,210,211,212,213,214,213,213,214,214,214,214,208,197,174,116,90,114,148,95,60,120,182,173,114,96,195,201,201,211,212,214,215,215,215,215,216,216,216,216,213,198,169,137,118,119,145,110,91,180,194,172,116,86,188,202,202,212,214,215,216,216,217,217,217,218,218,218,217,201,187,170,133,120,142,122,157,202,185,157,98,92,196,203,202,212,214,216,216,217,218,219,218,218,218,219,218,201,192,188,145,127,110,149,204,204,173,143,90,109,206,204,203,211,213,215,215,217,218,217,217,218,218,219,219,203,187,190,161,139,110,181,206,195,167,133,85,128,208,205,203,212,214,215,216,217,218,217,217,218,219,220,220,205,184,179,169,151,116,170,201,186,156,121,76,145,208,205,203,214,214,215,217,218,219,219,219,220,220,220,221,210,181,179,176,165,131,156,198,182,143,104,72,171,210,206,204,216,216,217,218,219,220,220,221,221,221,223,222,219,191,183,176,174,143,133,183,163,121,81,82,198,208,207,206,217,217,218,219,220,221,222,222,222,222,224,223,224,202,190,180,173,143,115,152,136,97,62,113,210,209,207,207,174,177,182,185,189,193,196,200,202,205,209,210,212,201,192,178,163,139,118,123,127,88,63,166,212,209,207,197,113,113,112,114,116,117,120,124,125,126,129,131,131,167,196,177,164,154,132,120,128,81,73,154,167,164,148,114
14,167,169,171,173,173,174,176,176,176,177,178,177,177,177,176,175,175,173,173,173,171,171,171,169,168,167,166,165,169,171,172,174,175,176,178,179,179,179,179,179,180,179,179,179,177,176,175,175,174,174,172,171,170,169,169,168,171,173,174,176,178,179,180,180,180,181,181,181,182,182,181,182,180,179,178,177,176,174,174,173,172,172,171,170,172,174,176,178,179,181,183,183,183,184,184,184,183,181,182,183,182,181,180,180,179,178,177,175,174,174,173,172,173,176,178,180,181,183,186,186,186,186,186,188,193,176,168,173,173,182,183,182,181,180,179,177,176,175,175,174,175,177,180,182,183,185,186,187,187,188,192,202,196,178,166,161,149,156,178,185,183,182,181,180,179,178,177,176,178,179,182,184,186,186,187,189,190,193,205,204,197,177,181,168,142,119,127,183,186,185,184,182,181,180,179,178,180,182,183,186,188,188,188,190,191,202,206,199,175,114,153,157,153,118,78,135,188,187,185,183,182,182,181,180,181,183,185,187,189,191,190,194,200,209,177,137,117,82,79,94,160,152,81,90,177,188,187,186,185,183,182,182,183,185,187,190,192,193,195,210,218,203,159,109,72,59,52,47,136,172,118,84,164,191,189,188,186,185,184,184,186,187,189,191,194,194,205,220,207,170,135,107,75,46,53,46,95,140,121,84,139,193,191,189,188,187,186,185,186,188,190,193,194,197,220,217,191,140,91,80,68,51,50,84,165,160,153,112,121,193,191,191,190,188,187,187,186,188,191,193,195,218,226,208,186,135,89,59,54,50,102,177,197,186,161,100,114,194,194,194,191,190,189,188,188,191,194,192,213,230,216,203,171,126,95,59,46,79,182,203,197,175,151,90,103,194,196,196,194,193,192,191,190,193,194,204,233,227,214,197,165,131,90,45,40,103,175,203,196,162,143,91,75,167,199,197,196,195,194,192,193,195,195,226,238,225,209,188,159,118,78,48,57,69,88,171,171,146,136,101,80,137,202,199,198,196,195,194,194,195,209,239,234,219,202,181,140,98,65,68,86,89,89,103,125,148,137,99,88,166,203,201,199,197,197,196,194,198,229,236,225,210,192,166,123,96,70,92,104,108,110,102,115,139,122,88,145,201,203,202,200,199,199,197,195,214,239,228,216,199,184,157,122,96,86,105,110,113,108,111,108,124,97,126,198,203,203,202,201,200,199,198,172,227,238,221,203,191,173,151,124,94,93,109,110,108,99,111,96,86,118,196,207,206,205,203,202,202,200,199,92,156,212,206,183,166,149,132,99,85,90,100,105,99,92,95,75,105,190,210,208,207,207,205,203,203,202,200,79,80,115,157,165,138,107,79,67,75,78,84,91,85,81,105,149,197,212,209,209,208,207,207,205,204,203,202,72,73,72,83,90,83,71,58,56,60,61,65,71,81,131,196,214,213,212,211,209,209,208,207,206,206,203,202,69,68,69,68,38,32,38,36,33,34,33,67,124,170,210,215,215,214,213,213,212,210,209,208,207,207,205,203,67,66,64,68,54,18,27,26,23,22,19,55,187,220,217,216,216,215,214,214,213,211,210,209,208,207,206,205,63,61,60,64,59,17,19,23,21,20,18,44,191,220,218,218,217,217,215,215,214,212,212,210,209,208,207,206,56,59,55,61,59,14,16,19,19,18,16,98,219,220,219,219,218,217,216,216,215,214,213,212,211,209,208,207,67,88,52,63,46,10,16,16,16,16,18,143,224,219,220,219,218,217,216,216,216,214,214,213,212,209,209,208
19,193,195,195,196,198,199,199,199,199,199,199,200,199,199,199,198,198,197,196,196,196,196,195,194,193,192,192,192,194,194,196,197,198,199,200,200,199,199,199,200,199,199,200,199,198,198,198,197,197,195,195,195,194,193,194,192,194,195,196,197,198,200,201,200,201,200,200,200,199,200,201,200,199,198,198,199,198,196,196,196,195,194,194,194,194,196,197,199,199,200,201,200,201,202,202,201,200,201,201,200,199,199,199,199,199,197,197,196,196,195,194,194,196,197,197,199,200,200,201,202,203,201,200,202,204,200,201,201,200,200,199,199,199,199,199,197,196,195,195,194,196,200,199,200,202,203,203,202,204,207,191,173,191,206,202,203,202,201,200,200,200,200,199,198,197,196,196,195,198,199,201,202,202,203,203,204,204,229,212,184,149,191,207,202,203,202,201,201,201,200,200,199,198,198,196,196,198,199,200,202,202,203,205,207,200,221,232,204,160,138,204,204,204,202,202,202,202,200,201,199,198,198,197,197,200,201,201,203,204,205,206,206,205,209,230,208,171,120,172,212,203,204,203,202,201,200,200,200,199,198,198,197,201,202,203,205,205,206,207,208,203,209,224,200,165,123,147,214,203,204,203,202,203,201,200,199,199,199,199,198,200,202,204,206,205,207,210,207,215,239,218,194,181,146,154,205,203,208,207,205,203,202,202,201,200,199,199,199,202,203,206,207,208,209,208,207,243,232,206,190,198,208,203,193,186,188,193,202,206,204,204,201,201,201,199,199,203,205,206,208,209,210,204,230,239,211,173,154,173,206,221,220,210,200,179,181,184,196,202,205,202,200,200,200,204,208,206,208,208,208,217,249,234,217,192,152,137,166,198,211,217,217,206,197,189,193,183,184,195,204,203,199,206,208,207,209,211,207,238,242,222,208,194,190,171,164,169,176,182,193,203,212,217,220,206,178,172,170,194,203,206,207,207,210,209,217,242,230,200,180,180,174,196,200,185,174,162,149,157,172,182,202,212,205,190,162,158,186,205,207,210,212,210,236,255,236,200,177,171,165,171,201,207,199,183,155,137,174,189,184,183,184,183,183,179,186,207,209,209,208,220,250,251,229,203,190,191,192,188,174,181,195,193,173,158,153,207,211,203,194,184,180,177,179,208,209,211,209,234,249,240,216,196,195,205,204,204,187,134,166,168,173,175,150,191,214,209,210,209,205,198,195,208,210,209,223,245,246,235,204,180,163,190,216,217,213,151,167,148,148,150,164,210,211,210,209,208,208,208,207,208,208,213,242,242,253,236,201,178,165,154,183,194,205,200,180,160,155,147,205,213,210,210,210,208,208,207,206,209,207,225,244,248,255,226,196,186,185,185,175,154,175,211,191,173,151,194,217,210,211,211,211,208,206,205,204,210,211,239,245,251,241,224,202,194,190,189,181,172,167,167,167,160,180,215,212,212,212,210,209,209,208,207,206,207,222,246,245,243,236,222,208,197,197,195,181,166,161,164,143,189,217,213,212,213,212,212,210,209,208,207,207,206,232,246,242,242,231,212,200,183,184,190,182,173,168,158,180,223,215,213,212,213,213,212,212,210,209,209,208,210,239,242,238,236,225,212,185,158,146,152,164,163,166,182,212,218,216,216,214,213,213,213,213,211,210,210,208,222,240,232,225,224,208,184,161,146,126,176,211,200,208,219,217,217,216,217,216,214,212,212,212,210,209,208,207,237,236,218,214,203,182,161,150,145,134,210,225,222,220,218,217,218,217,216,215,214,212,212,212,209,209,209,207
14,109,112,115,119,121,123,125,126,129,130,130,132,133,133,134,134,134,133,134,133,133,133,132,131,131,131,130,130,109,113,116,119,123,125,126,128,129,129,131,132,133,134,135,135,134,134,135,134,134,134,133,133,132,132,131,131,110,113,117,121,124,124,126,129,130,131,133,133,134,135,135,137,137,135,135,134,135,134,134,133,133,133,132,131,111,115,119,122,124,125,128,130,131,132,134,135,135,137,136,138,138,137,137,135,135,135,135,134,134,134,133,133,112,116,120,123,124,128,129,131,133,133,135,136,136,137,141,136,138,137,136,139,139,135,136,136,136,135,134,134,112,116,119,123,126,128,129,132,133,134,136,138,133,160,174,159,160,152,132,121,129,140,135,136,137,135,135,134,112,117,122,124,127,128,130,133,134,135,137,135,142,175,172,172,162,149,140,128,119,118,138,139,135,136,136,135,113,119,122,125,128,130,132,133,135,136,139,134,167,179,156,138,122,102,105,118,112,69,81,135,138,136,136,136,114,119,123,126,128,131,133,134,137,139,138,142,182,172,125,76,67,67,69,83,82,75,67,78,139,139,137,137,115,119,123,126,130,132,134,136,137,140,134,161,185,157,100,54,60,68,56,61,79,99,87,51,95,144,138,139,116,120,124,128,130,133,134,135,138,139,136,184,173,123,65,44,65,70,59,65,69,71,76,91,73,109,143,138,118,122,125,128,131,134,135,136,139,136,156,189,138,82,47,46,46,52,67,66,71,73,83,98,94,101,107,141,119,123,126,129,132,134,136,139,139,140,188,178,124,83,64,62,55,47,69,72,111,98,92,84,126,107,95,144,119,124,127,130,133,135,137,141,135,160,200,167,120,85,74,65,65,67,58,113,152,148,141,127,138,84,101,148,120,125,129,132,135,136,138,142,135,174,200,160,113,82,74,63,64,68,82,149,146,146,146,131,134,84,99,149,120,124,129,133,135,137,140,142,137,181,196,158,106,74,65,58,65,62,114,152,145,149,142,126,128,86,87,147,121,125,129,132,135,137,140,141,139,190,192,158,114,76,59,59,57,45,126,158,146,151,129,119,120,94,84,141,121,126,130,133,136,138,140,140,144,198,187,156,115,77,59,51,50,48,64,126,155,146,117,122,111,90,106,146,122,125,129,133,136,138,142,139,156,200,181,152,116,79,54,47,57,67,63,66,95,103,122,132,111,91,139,146,122,126,130,133,136,139,144,137,169,200,178,149,117,81,54,46,57,64,69,81,78,92,126,120,92,118,150,144,121,126,131,133,137,140,144,138,181,196,173,144,119,84,57,51,59,65,78,96,100,97,117,100,102,150,146,146,120,124,130,133,136,139,141,141,187,190,165,142,131,86,63,64,73,81,96,103,96,93,97,87,136,150,146,147,120,126,132,135,137,140,140,144,188,181,156,153,134,81,74,68,82,94,105,99,92,88,80,110,152,147,147,147,122,127,132,135,138,141,140,147,186,174,159,162,131,93,84,67,86,101,105,94,86,80,117,151,150,150,150,148,121,127,132,135,138,141,140,149,183,175,167,166,139,106,87,71,81,98,100,90,80,95,155,151,150,150,150,148,121,127,133,136,138,142,140,155,190,183,176,170,141,107,88,76,78,93,91,86,78,131,155,151,152,150,149,147,122,126,131,135,138,141,138,159,192,183,180,163,130,102,87,80,80,87,86,78,113,154,151,152,151,150,149,147,120,124,129,133,136,140,136,163,189,181,176,144,115,95,86,83,84,85,82,111,154,151,152,151,150,149,147,146
10,146,149,153,156,159,162,164,166,165,167,168,169,170,169,170,170,170,170,171,171,170,171,172,170,170,170,168,168,149,152,156,159,162,164,167,169,169,170,171,172,173,173,174,173,173,173,173,173,173,173,174,173,173,172,172,171,152,155,159,162,165,167,171,172,173,173,174,175,177,176,175,179,177,176,177,177,176,176,176,177,177,176,175,174,155,159,162,165,169,171,173,175,177,178,179,179,178,181,178,142,180,181,180,179,178,180,180,179,179,180,179,177,157,160,164,167,171,175,177,179,180,180,181,181,180,184,194,122,154,190,180,181,181,182,183,183,183,181,181,180,159,163,167,170,173,177,180,181,181,183,184,185,185,183,198,165,120,185,185,184,185,186,186,185,186,184,183,182,162,166,169,173,176,180,181,183,185,185,185,186,189,187,195,196,133,160,194,186,186,187,188,188,187,187,186,184,164,168,172,175,178,181,183,184,186,187,187,187,183,181,198,217,172,130,194,189,189,190,190,190,189,188,188,187,166,169,173,178,181,184,185,186,187,189,188,196,180,115,165,225,203,124,168,198,192,194,193,193,193,191,189,188,167,171,176,180,182,185,187,189,190,191,191,196,200,138,101,205,216,144,134,203,193,195,195,195,194,194,193,192,170,174,178,180,184,187,189,191,193,194,194,192,217,204,147,148,201,169,114,200,195,197,198,197,197,196,195,194,171,176,179,182,186,188,190,192,194,196,195,208,189,231,197,116,134,190,102,188,200,199,200,199,199,198,196,196,173,176,180,184,186,190,193,193,194,196,206,208,146,155,200,132,87,130,97,168,207,198,201,200,200,200,200,199,173,176,181,184,187,191,194,196,193,212,219,191,142,63,157,169,101,71,76,120,210,201,202,202,201,201,202,201,173,177,181,185,188,193,195,196,194,213,227,151,93,27,98,166,131,79,67,83,191,207,202,203,202,202,202,202,174,179,183,187,190,194,195,199,210,188,220,179,108,33,73,153,157,123,79,73,169,213,202,205,205,203,202,202,175,179,184,188,192,195,195,202,226,207,189,221,187,78,87,182,172,151,90,65,157,217,204,207,208,205,204,203,176,179,183,189,193,195,196,198,201,227,196,174,206,153,142,202,178,155,98,59,152,219,206,208,208,206,206,205,175,179,183,187,191,194,194,201,177,186,189,126,178,184,118,207,179,145,109,63,146,219,206,209,208,207,206,207,176,180,184,187,190,194,194,199,212,179,161,138,117,165,189,218,188,144,99,67,145,219,206,208,207,206,206,206,176,179,184,187,190,193,194,197,221,210,164,149,142,221,234,215,182,134,95,70,153,219,206,207,207,206,206,207,176,180,184,187,190,194,196,196,210,218,186,180,176,231,219,201,170,118,95,74,144,220,207,208,208,207,207,207,177,181,185,188,191,193,195,197,203,218,196,208,184,225,211,181,157,120,111,86,133,220,207,208,208,208,208,207,175,181,187,190,195,198,200,203,205,212,209,218,185,200,206,175,161,133,137,93,145,223,209,211,210,210,208,208,108,114,119,121,127,134,138,139,141,204,221,215,196,172,193,176,175,148,135,90,148,204,197,202,204,206,207,208,94,93,92,89,89,91,93,95,87,152,218,199,186,170,171,182,193,152,118,91,96,105,108,110,114,117,117,121,100,100,100,104,106,106,104,103,103,107,195,181,175,168,166,186,192,148,110,89,105,104,102,103,101,100,99,99,98,98,98,102,102,104,103,100,104,93,168,187,174,172,180,175,181,149,106,89,115,113,110,115,114,114,115,116
12,170,172,175,174,174,175,176,175,176,178,177,176,177,180,178,177,178,177,177,177,178,178,176,176,176,175,175,175,174,175,176,176,177,178,179,179,178,180,180,181,180,177,180,182,180,178,179,178,180,180,178,179,178,178,177,175,176,176,178,179,179,180,180,182,181,182,180,168,178,195,170,157,178,183,182,181,181,183,181,179,179,179,179,177,177,178,181,180,181,182,181,183,180,211,196,160,138,218,189,142,130,190,181,184,187,182,183,182,182,181,181,181,179,181,183,183,183,183,185,184,188,239,217,183,118,192,222,170,98,168,179,147,165,190,184,185,185,184,184,182,182,183,184,186,186,186,186,184,193,240,234,194,130,152,235,187,131,92,172,144,98,173,190,187,188,186,185,184,183,184,186,186,186,189,190,186,198,229,237,200,147,120,226,194,157,84,137,157,78,120,201,187,191,189,189,187,183,185,187,187,188,190,191,187,202,214,224,216,163,101,190,204,158,102,77,138,87,110,204,190,192,190,190,188,185,187,189,191,191,192,191,191,193,172,203,217,192,147,126,191,145,86,40,91,84,120,204,191,193,192,192,191,188,189,191,191,194,186,195,222,163,131,157,181,192,146,79,102,104,48,74,120,68,137,206,193,195,193,193,194,188,188,192,195,190,207,236,209,131,105,113,103,145,107,72,87,129,103,154,136,69,167,202,195,197,195,194,194,190,192,192,190,205,241,217,178,131,108,69,63,85,131,121,138,180,209,181,115,68,190,206,197,199,197,197,196,190,192,194,194,229,209,182,190,155,125,73,67,72,72,85,109,164,218,224,199,132,108,190,203,198,198,198,198,192,191,192,199,228,199,169,195,167,127,85,60,83,85,82,75,170,206,225,203,161,113,102,205,200,199,198,198,193,191,190,218,225,195,153,179,184,172,127,68,87,107,95,168,214,202,194,173,164,155,91,180,207,200,200,199,193,195,194,213,238,212,171,121,179,205,146,82,82,111,166,221,214,202,186,139,146,137,92,192,206,201,202,201,194,195,195,206,238,225,195,141,126,163,195,164,85,186,230,213,205,191,174,136,116,95,110,213,203,202,202,203,195,195,196,207,239,232,204,162,156,133,146,142,165,238,229,215,197,181,159,130,97,68,154,214,204,205,204,202,195,196,197,204,230,234,217,176,172,165,120,155,232,231,231,211,181,166,138,123,83,77,198,207,204,206,206,204,194,195,195,198,221,227,227,197,180,167,160,154,225,230,226,199,162,145,124,118,71,117,217,203,206,207,206,206,194,193,196,192,208,231,231,216,192,171,173,149,208,227,208,187,145,122,128,106,61,163,214,204,206,206,206,205,194,195,198,194,191,233,233,218,197,176,169,159,189,220,187,163,130,115,132,88,76,203,207,206,205,205,205,204,195,197,198,202,189,220,220,196,184,174,168,166,172,192,171,138,122,123,118,67,130,218,205,206,206,206,206,206,194,197,198,204,192,213,209,179,171,168,170,161,163,172,159,144,119,115,93,80,197,211,207,207,206,206,206,206,194,199,199,202,196,208,206,182,181,181,174,160,156,172,169,137,100,98,68,154,217,207,208,207,208,208,207,207,196,197,200,199,196,205,213,194,192,187,178,170,152,180,160,111,89,73,101,213,206,210,208,208,208,208,208,207,193,196,199,202,199,202,222,198,201,195,182,179,142,174,139,105,87,66,175,218,209,210,209,209,208,208,207,207,121,124,125,132,129,174,232,210,206,205,188,181,138,161,133,107,73,83,194,195,198,200,203,205,207,208,206,206
14,149,153,158,161,164,166,167,169,171,172,173,174,174,175,175,176,176,176,176,174,174,173,173,172,172,171,170,169,150,155,159,163,166,168,170,172,173,174,174,176,177,178,178,178,177,179,178,177,177,176,175,174,174,173,172,172,152,157,161,164,168,170,172,174,175,176,178,179,179,180,180,181,180,180,181,180,180,179,177,176,176,175,174,173,154,158,162,166,169,173,174,176,178,178,179,181,182,183,182,184,182,181,173,177,180,180,180,179,179,178,176,175,156,160,164,167,171,173,175,178,179,180,182,184,185,184,185,187,198,188,167,166,164,162,180,182,180,181,180,178,158,162,166,170,172,174,177,179,180,181,184,187,187,186,189,203,202,189,174,165,155,139,138,172,184,182,181,181,159,164,168,172,174,176,178,181,183,184,186,187,188,190,204,207,204,180,170,183,160,132,101,119,180,185,183,182,161,166,170,173,176,179,181,183,185,186,187,189,189,197,206,196,182,130,96,147,135,159,97,68,133,188,185,185,163,167,170,174,178,181,182,184,186,188,190,192,200,211,197,141,108,90,65,69,96,178,134,79,103,185,187,186,165,169,172,177,180,181,184,186,188,190,191,203,218,214,182,136,92,58,50,50,55,152,156,102,86,175,190,188,166,171,175,179,181,183,186,188,191,191,196,217,215,185,145,117,92,64,47,53,75,149,142,112,87,154,193,190,165,171,176,180,182,186,188,189,191,191,213,222,206,170,112,78,72,59,52,85,162,194,180,150,97,136,195,191,167,171,177,181,184,186,189,191,190,205,230,216,198,164,112,75,53,50,76,180,200,191,178,135,84,146,197,194,169,173,178,182,184,187,190,191,198,229,224,210,192,148,111,79,45,49,149,203,201,188,168,131,75,115,198,195,170,175,179,184,186,189,192,194,225,235,221,208,182,150,113,66,40,53,107,159,205,175,152,123,83,79,177,198,171,176,181,184,188,192,192,209,239,234,217,200,177,139,99,59,55,67,71,90,167,145,148,124,96,79,165,201,172,178,182,186,190,193,195,230,239,227,210,194,167,118,84,60,82,94,95,94,96,128,147,124,86,114,193,201,174,179,183,188,190,192,210,239,231,219,202,182,148,111,81,78,100,108,109,112,102,124,133,105,98,182,202,202,174,179,185,188,193,197,233,236,223,208,190,174,139,112,87,93,108,113,111,108,110,111,110,96,168,205,203,202,174,179,186,182,140,184,240,231,213,198,183,162,141,111,90,98,112,110,103,101,106,85,84,162,206,206,205,204,175,182,187,144,83,100,180,212,193,175,159,145,121,90,87,91,103,104,95,92,84,84,152,207,208,207,206,206,177,183,168,96,81,77,85,130,160,153,123,94,69,67,75,77,86,88,81,89,138,187,210,210,209,208,207,207,178,180,121,85,75,73,71,74,83,84,74,60,51,54,57,57,64,71,99,171,212,215,214,212,210,209,208,208,180,147,88,80,70,69,68,70,59,27,34,36,32,31,32,32,86,152,196,216,215,215,214,213,212,211,210,209,166,105,82,72,69,66,65,64,68,34,20,27,24,22,21,19,75,209,218,216,216,216,215,214,213,213,211,210,121,83,73,69,67,63,61,61,66,43,12,21,21,19,19,16,99,216,217,217,216,217,216,215,215,214,212,212,93,76,65,63,61,57,57,57,67,41,10,17,17,16,17,21,160,223,219,219,219,218,217,216,215,214,213,213,90,76,67,55,48,82,71,51,66,30,9,15,14,14,14,37,194,222,220,219,219,218,217,217,216,215,213,213
15,193,185,167,174,142,136,182,83,83,118,116,118,121,125,127,138,150,161,169,172,176,182,186,189,193,195,197,200,199,186,169,178,137,150,181,74,91,119,117,119,123,126,129,141,152,163,171,174,178,185,189,192,195,198,201,204,204,184,171,182,130,164,175,66,99,120,117,119,123,126,130,144,155,165,173,176,180,186,191,195,198,201,203,206,207,186,176,184,126,178,165,63,106,120,118,120,123,126,132,146,158,167,174,177,183,189,194,197,200,203,205,208,208,186,182,183,126,192,152,63,113,120,119,122,126,127,133,147,160,171,177,179,185,191,196,200,202,206,208,210,207,185,186,178,128,200,137,63,117,118,118,120,122,124,135,150,161,172,178,181,186,193,198,203,206,208,211,213,208,185,189,171,132,208,123,71,125,122,127,133,141,138,134,151,164,176,184,185,191,200,206,207,208,211,215,217,206,189,197,171,156,176,155,149,148,147,156,158,153,144,137,139,145,155,167,175,181,182,187,206,220,216,216,220,200,194,191,159,156,157,152,149,138,141,141,137,134,137,147,144,143,143,143,149,158,153,144,143,169,216,228,223,201,192,171,147,146,143,141,137,135,138,138,138,137,144,152,153,147,144,140,146,161,159,152,139,120,133,192,233,201,191,195,144,151,147,125,129,131,137,139,138,139,149,152,150,146,141,142,155,152,152,152,145,137,124,117,153,198,193,202,134,190,188,71,110,125,122,124,126,130,139,152,156,152,142,149,152,154,152,153,143,139,141,133,116,197,200,200,131,201,173,61,113,124,120,122,124,125,129,145,173,199,171,158,153,151,152,148,148,139,149,146,131,198,203,196,132,213,160,61,118,124,120,122,125,126,132,146,199,194,172,150,152,143,135,139,148,140,159,157,140,202,204,190,137,219,145,62,122,122,120,122,125,128,126,174,205,170,159,115,118,123,103,123,162,150,168,158,144,205,208,181,142,222,130,66,126,122,120,123,125,125,138,206,181,158,146,116,88,91,73,128,188,173,169,146,140,207,210,174,151,225,116,71,128,121,121,122,126,119,186,219,168,150,132,103,86,82,70,149,194,187,172,141,134,207,213,165,160,225,103,78,130,121,121,122,126,121,196,212,179,149,124,85,81,79,84,164,194,201,181,145,130,210,219,157,173,221,91,84,131,121,121,123,126,121,159,218,200,167,131,87,78,108,106,144,192,200,176,146,133,212,222,150,187,221,81,92,131,121,120,122,125,126,134,209,220,189,142,95,72,109,132,155,191,179,157,144,126,214,223,145,200,215,73,100,131,121,120,121,124,126,132,180,235,201,163,137,122,128,174,182,169,147,135,138,123,217,221,140,213,204,66,105,128,119,118,119,121,123,137,158,221,219,205,196,190,196,184,149,134,128,126,127,123,219,217,141,224,191,62,112,126,118,118,118,121,122,137,156,213,202,174,168,177,190,173,131,120,124,114,126,132,221,209,142,233,176,61,118,125,117,116,116,120,124,132,193,213,167,164,163,172,192,172,127,116,115,144,121,113,222,201,149,240,160,55,119,120,114,113,115,119,123,132,209,193,164,158,158,162,179,171,135,114,199,231,114,103,225,193,154,242,149,77,130,125,117,115,114,115,119,132,185,183,163,161,150,142,156,158,132,117,234,239,121,108,227,185,166,230,190,162,161,164,160,156,153,153,155,157,162,171,175,198,199,143,123,182,148,144,219,225,127,113,229,177,176,227,197,145,143,150,149,149,150,155,155,154,149,150,153,155,208,190,131,156,157,153,162,160,125,116
16,60,58,56,54,54,56,56,58,58,63,75,84,93,101,108,114,116,119,122,123,127,133,137,140,144,147,149,152,59,57,55,54,54,55,56,58,57,63,75,84,93,100,107,114,118,117,119,124,129,131,136,140,143,146,149,151,59,57,55,53,54,55,56,55,55,63,73,82,91,100,107,112,115,133,120,102,120,136,138,137,142,145,147,150,58,56,54,53,53,53,55,56,55,63,74,82,91,97,107,112,142,147,120,95,76,89,124,145,143,144,147,149,59,56,53,53,53,53,54,54,55,63,74,85,84,132,147,144,148,126,103,97,82,58,55,97,142,151,150,151,58,56,54,53,53,54,54,53,54,61,75,73,104,166,144,133,128,112,96,81,75,71,57,44,68,114,138,151,57,56,54,52,53,52,53,53,53,63,66,90,154,140,119,116,107,99,85,66,70,74,64,57,50,49,66,89,57,55,53,52,53,52,53,53,55,57,71,143,140,115,110,99,84,77,66,64,62,73,74,60,60,54,50,48,56,53,52,51,51,49,51,54,47,77,124,125,108,103,90,75,67,59,61,62,45,74,73,80,64,57,53,49,54,51,51,50,51,50,52,46,61,151,126,102,97,84,66,61,54,49,59,48,38,81,77,90,70,63,53,46,51,49,45,46,46,46,51,29,127,165,123,96,72,62,57,51,42,50,50,25,43,86,79,89,74,64,52,47,104,100,98,95,90,88,80,89,164,145,111,77,52,43,42,37,41,49,27,11,56,83,78,94,82,74,59,54,87,85,84,82,82,81,77,151,147,123,86,57,39,36,34,20,25,17,3,1,56,77,79,106,101,85,68,56,80,80,80,81,81,70,105,149,115,90,62,44,33,37,25,3,0,0,0,0,45,78,86,114,103,86,80,51,85,85,84,86,82,85,150,126,88,56,46,37,35,36,23,0,0,0,0,0,26,68,96,119,81,84,85,45,85,87,86,88,74,127,150,98,62,36,33,37,41,42,42,29,0,0,0,0,0,65,124,98,63,79,74,38,86,88,91,80,99,141,103,67,37,57,47,40,45,48,46,46,22,17,21,13,16,120,118,75,58,62,50,39,85,88,85,88,142,106,66,35,53,97,64,65,61,56,52,44,37,35,36,17,94,131,92,61,50,45,37,38,87,87,77,133,123,68,37,40,83,73,58,63,64,57,54,47,39,39,20,49,146,113,73,46,40,35,36,40,87,88,83,116,82,40,43,80,86,75,78,66,52,44,46,41,35,39,33,108,150,114,53,35,34,31,38,36,84,87,87,86,76,72,83,86,87,87,85,80,72,59,68,67,65,77,79,149,148,119,52,24,29,44,42,36,84,85,86,86,87,88,85,85,86,86,86,88,88,89,89,88,89,89,82,151,153,119,61,24,57,49,41,39,82,85,86,85,85,85,85,84,86,86,86,87,87,86,86,86,86,87,79,129,138,109,52,67,110,61,56,54,81,84,85,84,85,85,85,85,86,86,86,87,87,87,87,86,87,89,83,100,115,76,52,84,115,87,63,64,82,83,84,84,84,84,85,85,85,85,85,86,87,87,87,87,87,87,87,87,91,69,70,82,105,128,86,75,81,83,83,85,84,84,84,84,85,86,86,87,87,87,87,87,87,87,86,86,87,87,89,85,85,139,116,99,81,82,84,85,84,84,84,84,85,86,85,86,86,86,86,86,88,87,86,87,86,86,88,90,77,132,138,115,83,82,84,84,83,83,84,84,85,85,84,84,85,85,85,85,87,87,86,86,87,86,88,90,75,120,150,125
14,103,108,111,114,117,120,121,123,126,128,129,131,134,134,134,134,136,138,140,141,141,141,142,143,143,143,144,144,105,108,112,115,118,121,123,125,127,128,131,133,135,135,137,139,141,141,141,142,142,143,143,144,144,144,145,145,106,109,114,118,119,121,124,126,128,128,130,131,132,139,118,115,128,130,142,146,146,144,144,145,145,144,147,147,107,110,115,118,121,122,125,128,129,128,135,138,139,131,80,72,115,120,135,115,126,150,145,145,145,145,147,147,107,110,114,118,120,124,126,127,129,145,148,131,110,93,76,66,103,125,116,68,98,157,145,149,149,148,149,148,108,112,116,120,121,125,125,130,158,158,128,75,56,61,74,72,83,91,88,58,58,142,150,148,150,150,150,150,110,113,117,121,124,125,125,163,163,129,92,50,29,37,58,70,97,89,95,102,78,110,146,150,151,151,150,150,110,113,117,121,125,123,135,174,124,75,45,53,44,58,68,40,60,81,86,114,122,93,103,158,149,151,151,151,111,115,119,122,126,121,158,161,95,46,40,51,45,75,66,47,67,81,93,83,90,63,68,155,152,151,152,152,112,116,120,122,124,128,174,137,85,40,37,37,39,57,45,70,86,51,89,106,97,87,76,100,157,155,153,153,112,116,119,123,121,147,170,114,58,35,44,50,49,37,42,77,74,64,144,158,146,114,94,73,116,148,154,153,113,118,120,125,123,166,145,93,60,55,50,56,53,54,59,50,65,134,155,151,154,154,122,117,85,137,159,154,113,119,122,122,138,176,136,96,77,56,50,53,53,61,66,44,116,161,150,151,157,141,128,114,81,156,155,155,113,119,123,120,163,174,130,92,67,52,48,47,51,61,55,73,155,151,153,154,155,130,131,84,108,164,154,156,113,119,123,121,170,161,122,91,57,46,46,49,56,59,42,93,161,148,154,157,150,123,125,67,112,167,155,157,114,120,124,123,175,158,114,77,49,46,48,53,58,48,40,75,155,156,156,155,115,118,120,71,95,166,155,157,114,120,122,131,180,147,114,80,53,48,52,56,60,59,66,70,105,146,148,128,126,127,116,69,106,166,155,157,115,121,119,143,181,143,112,78,55,47,50,62,64,73,87,97,88,84,109,128,137,131,93,94,157,158,157,157,115,122,117,155,177,140,110,77,57,49,52,61,71,84,96,106,108,97,128,133,132,104,98,158,160,158,157,157,115,122,117,164,170,138,111,83,62,51,54,65,84,97,109,109,111,106,122,129,98,96,157,162,159,161,159,158,115,121,120,171,162,136,110,86,68,54,53,74,101,112,121,119,110,106,102,95,84,154,162,159,161,160,159,159,116,120,125,171,154,133,108,91,71,56,54,82,115,118,118,118,114,104,71,73,148,161,158,161,160,160,160,160,116,120,132,168,146,127,112,96,74,58,55,90,121,115,115,114,115,82,80,149,163,158,160,161,161,161,160,160,118,118,138,165,139,129,118,97,80,63,59,89,121,115,101,109,91,80,154,163,158,160,161,161,161,161,160,160,118,117,149,167,140,135,121,98,82,71,58,80,110,103,91,92,76,143,164,159,161,160,161,161,161,161,161,161,116,117,164,167,146,140,120,98,82,69,57,71,93,86,91,66,131,163,158,160,160,160,161,161,161,161,161,161,117,124,176,161,153,139,108,89,76,61,60,72,77,71,84,128,163,156,159,161,161,162,162,162,162,162,162,162,112,142,176,150,149,128,91,80,69,60,66,68,60,75,136,163,156,157,159,162,162,162,162,162,162,162,162,162
12,188,190,191,193,193,193,193,194,194,195,195,193,193,192,195,196,192,189,190,188,188,187,185,184,183,182,180,178,190,194,194,194,195,196,195,195,196,196,197,197,195,194,185,171,183,194,189,189,189,187,186,185,185,183,181,179,191,193,194,196,196,197,198,198,197,197,196,184,194,197,152,126,106,173,199,193,194,191,187,187,186,186,182,180,194,196,196,197,197,197,198,199,197,199,181,137,120,160,162,139,105,113,181,149,137,170,193,186,186,185,183,181,195,197,197,197,198,200,199,199,197,206,179,150,116,107,176,147,124,101,99,125,110,89,170,194,187,186,184,183,195,196,198,198,200,199,201,201,199,210,189,162,142,99,171,157,131,107,80,120,117,73,111,201,188,188,185,184,196,198,198,198,201,200,201,200,205,212,203,171,147,101,145,162,134,111,71,116,113,80,85,197,190,189,187,186,199,201,200,200,201,201,202,200,212,192,212,177,149,109,116,163,135,113,71,103,120,82,88,198,189,190,188,187,199,200,201,200,200,202,199,198,188,133,177,185,141,116,102,164,138,115,78,95,122,80,103,203,189,191,189,188,198,200,201,201,202,199,198,204,172,116,108,179,147,115,83,158,150,121,90,72,107,73,139,204,191,192,191,189,199,201,202,202,202,212,212,192,147,114,80,154,150,105,73,148,177,144,104,69,91,66,159,203,193,194,191,190,200,202,203,202,210,211,188,176,138,126,85,132,151,115,84,157,193,151,107,78,99,82,180,200,195,194,192,191,201,202,203,202,222,201,160,176,146,135,93,103,162,150,103,126,172,128,85,77,105,78,164,206,195,194,193,190,202,202,201,210,206,182,142,140,155,129,93,81,168,159,127,69,67,66,62,96,104,60,100,209,195,195,194,192,203,203,203,210,197,168,143,104,140,135,111,72,144,159,118,72,50,83,93,93,76,69,73,194,200,196,194,193,201,204,204,207,209,184,160,125,110,148,113,77,58,109,112,74,96,119,133,115,86,75,87,199,198,197,195,194,202,205,205,208,212,190,163,138,106,127,105,96,53,115,176,153,145,136,142,120,93,58,131,211,197,199,195,193,203,205,207,209,214,199,172,147,120,100,117,124,91,171,204,188,163,144,136,113,86,55,167,210,199,199,196,194,203,205,206,211,207,190,168,146,120,101,107,121,140,199,195,178,156,140,124,108,77,63,192,204,200,199,196,195,204,206,208,209,195,181,169,146,114,124,99,130,184,193,185,167,149,133,117,104,61,114,213,199,200,198,197,196,205,207,208,207,195,184,172,143,116,136,119,172,188,186,179,158,141,125,109,84,75,196,205,202,200,200,197,196,206,208,208,210,199,182,173,148,130,127,130,178,177,184,175,153,129,113,103,61,124,219,202,203,201,201,199,197,206,208,208,210,201,186,175,158,137,116,127,176,172,175,160,142,117,102,87,56,185,212,206,204,202,202,200,199,205,208,209,210,207,196,176,155,135,111,120,162,163,158,145,123,102,94,58,108,220,207,206,204,202,201,200,199,205,208,210,210,209,194,174,158,140,124,122,151,153,139,127,112,94,75,62,195,212,207,205,203,203,202,201,199,207,208,211,210,212,188,162,150,135,133,124,142,156,140,122,107,91,50,149,220,206,207,206,204,202,202,203,201,208,209,211,210,212,186,166,158,151,149,137,142,152,137,119,102,69,94,217,209,209,208,207,206,204,202,202,201,208,209,210,205,209,188,169,169,162,152,143,144,149,131,99,89,61,170,220,209,211,209,208,208,206,203,202,201
4,211,211,211,211,211,210,209,209,208,205,205,204,205,206,203,203,202,198,197,196,195,195,194,194,192,189,186,186,212,212,212,212,212,211,210,211,210,208,208,209,209,208,204,200,202,205,197,196,197,196,195,195,193,191,188,187,215,214,214,213,213,212,212,212,211,210,198,182,187,202,205,174,141,164,207,201,202,202,195,195,194,192,189,188,216,216,215,214,214,213,214,214,213,214,203,195,179,156,157,172,161,117,165,187,160,175,200,194,195,193,191,190,217,216,215,216,216,216,214,215,206,205,201,193,188,180,133,108,151,155,116,110,119,94,163,203,193,194,193,191,218,217,217,217,216,217,215,211,197,197,183,148,102,159,142,81,111,153,117,79,110,100,106,205,194,195,194,193,219,219,218,219,218,218,217,212,212,199,187,158,96,117,144,89,91,131,98,77,125,121,87,185,200,196,194,193,219,219,218,218,218,217,219,212,164,130,161,179,116,110,152,141,123,121,86,90,134,123,85,180,203,195,194,193,221,220,220,219,219,219,218,220,180,114,74,188,160,127,152,173,174,126,123,124,123,146,103,178,203,196,194,193,221,220,221,220,220,220,220,210,160,105,51,117,161,110,113,133,163,134,126,130,123,138,97,137,210,197,196,194,222,221,222,224,221,219,222,198,156,136,123,88,88,99,87,81,106,140,130,124,120,116,105,101,206,199,196,196,223,222,224,224,222,220,222,203,187,163,124,92,77,96,92,98,87,103,119,113,109,130,127,84,181,205,198,197,224,224,225,225,223,222,223,209,189,151,117,87,85,93,97,119,111,85,70,118,164,157,136,89,145,210,197,196,225,225,227,226,225,223,222,212,173,135,104,82,84,96,119,123,122,120,133,143,161,164,148,112,111,208,197,195,227,227,227,226,226,222,223,210,179,151,115,90,96,106,120,136,134,155,182,181,155,183,172,130,91,196,201,197,229,227,228,227,227,225,221,216,192,158,123,94,93,106,134,150,157,166,182,191,183,163,157,125,77,185,204,197,227,227,227,228,228,226,221,211,195,168,135,97,92,112,137,154,172,180,190,185,171,158,130,103,80,197,203,198,226,227,227,228,229,227,219,205,202,180,148,115,97,98,134,166,179,195,197,183,160,143,121,72,124,214,199,199,227,228,227,228,229,228,217,199,202,186,155,130,109,96,136,180,191,202,194,175,150,134,104,69,187,208,201,200,227,227,227,227,228,229,216,195,193,184,158,135,116,105,137,190,192,193,182,162,139,124,81,117,217,201,203,202,227,228,228,229,230,231,218,192,188,187,170,142,124,116,147,192,186,180,168,147,128,110,71,182,212,204,202,201,228,228,230,230,230,231,222,190,189,191,176,148,136,121,155,185,180,174,155,130,117,80,106,217,206,207,204,202,228,229,230,229,230,231,229,201,193,196,181,157,139,118,151,178,173,165,142,115,100,67,182,217,209,208,205,203,230,231,230,230,231,231,232,207,202,200,179,163,144,120,139,170,160,146,121,106,64,127,223,209,209,207,205,203,230,230,229,232,232,232,230,214,209,195,179,168,150,128,131,149,140,123,107,77,86,212,213,210,209,207,205,204,231,231,232,231,231,232,229,216,210,192,176,162,147,135,125,132,128,109,91,59,184,220,211,210,210,208,206,204,232,232,232,231,231,232,223,215,204,192,182,173,161,152,132,123,121,104,66,125,226,212,213,211,208,208,207,205,232,232,233,232,232,232,214,214,206,195,183,181,164,155,136,121,113,90,70,194,221,216,213,211,210,208,206,204
18,180,181,182,182,182,183,184,184,184,184,184,183,182,181,181,180,179,179,178,178,176,174,175,173,170,170,169,168,181,182,183,183,184,186,186,186,186,187,186,184,183,182,181,181,181,181,180,178,177,176,175,174,172,171,170,169,182,183,184,184,185,187,187,187,188,187,188,187,186,188,189,185,184,186,186,186,178,178,179,176,173,171,170,169,183,184,185,186,188,189,188,189,190,189,189,188,189,176,152,177,189,161,133,151,187,180,169,177,178,173,172,171,184,186,188,188,189,189,190,191,191,191,192,193,193,158,111,103,155,148,111,77,149,153,116,108,163,178,174,174,185,186,189,190,190,191,193,192,193,186,155,158,188,164,132,99,107,181,120,98,80,123,117,78,97,185,174,175,187,188,189,192,191,192,193,191,196,187,144,124,129,176,141,112,92,170,129,111,103,100,111,96,63,161,181,173,189,191,191,192,193,193,194,195,198,193,170,153,116,135,161,116,88,122,144,126,119,110,128,112,61,152,184,175,190,191,192,192,194,195,197,196,196,178,185,153,135,95,144,125,97,94,147,136,124,123,121,105,61,157,185,178,191,191,192,193,194,196,197,197,205,153,151,155,123,70,116,133,96,77,130,123,119,118,119,107,60,145,189,178,191,191,193,194,195,197,197,200,196,131,102,156,95,59,97,108,76,63,112,85,101,150,143,113,67,127,192,179,191,192,195,196,197,198,197,203,192,153,120,144,96,64,86,87,66,56,87,66,78,173,150,123,76,107,194,180,193,194,195,196,197,198,197,204,198,176,137,128,115,74,83,98,72,53,86,69,56,146,159,133,91,84,191,182,194,195,196,197,198,199,198,204,199,165,133,107,94,61,85,106,68,53,77,112,153,153,177,146,101,66,176,186,195,196,197,198,198,200,199,205,183,145,122,102,79,64,68,73,61,68,107,169,176,162,157,143,100,59,163,191,196,196,198,198,198,201,201,204,195,170,144,118,92,88,82,81,104,134,169,181,171,165,139,120,89,59,170,189,196,197,198,199,200,203,202,204,200,179,151,119,93,88,96,114,141,166,188,187,166,148,129,100,70,79,192,186,197,197,198,199,202,203,203,204,202,184,158,129,107,100,100,111,160,182,194,182,155,138,119,93,50,124,198,184,198,198,199,201,202,203,204,204,200,188,164,139,119,110,103,123,180,189,188,172,147,128,112,82,55,173,194,187,198,200,201,201,203,203,205,202,196,185,163,141,126,117,110,133,188,182,176,164,143,120,105,66,85,199,189,189,198,201,201,202,203,203,205,203,188,176,164,145,131,130,116,140,182,178,166,148,135,114,95,51,129,203,189,190,199,201,202,203,203,205,205,206,190,177,168,151,139,140,122,146,174,173,161,136,122,105,81,53,176,195,190,189,200,201,203,205,206,207,207,209,199,175,167,158,146,138,118,141,170,163,153,131,108,94,57,93,204,190,192,191,201,202,203,205,206,206,208,209,205,182,174,165,151,135,117,127,159,152,138,117,96,81,46,163,202,193,193,191,201,203,205,206,206,207,208,209,209,195,179,166,155,144,129,124,142,143,126,106,90,54,89,206,194,195,193,192,201,202,205,207,206,208,208,208,207,203,189,171,153,141,132,125,134,136,118,100,77,44,165,204,196,195,194,193,203,203,205,206,207,209,208,208,207,205,193,167,153,149,146,141,131,129,112,94,57,95,208,195,197,196,195,193,204,205,206,206,207,208,208,210,205,204,192,171,166,163,149,140,124,123,104,83,52,155,207,198,197,197,196,194
7,141,151,158,163,166,168,170,171,173,175,176,177,177,179,179,180,179,179,178,178,177,175,174,173,172,171,170,168,142,152,158,163,167,170,170,172,175,177,178,179,179,180,180,181,180,180,180,179,178,177,176,174,174,173,171,169,143,153,159,164,168,170,172,173,176,178,178,180,181,182,183,183,182,181,181,181,179,178,177,176,175,174,173,172,144,153,161,165,169,171,173,175,177,178,179,181,183,183,184,184,183,183,183,183,181,179,179,179,177,176,175,173,145,153,161,166,169,173,174,176,179,179,181,183,183,184,184,185,185,184,184,184,182,181,180,180,178,177,177,174,146,154,162,167,170,173,174,177,179,180,183,184,184,185,185,185,185,185,184,184,183,183,182,181,180,178,177,175,147,155,162,167,172,174,175,177,180,181,183,184,185,186,187,190,191,191,189,188,188,187,184,183,183,180,178,177,147,155,162,168,172,175,176,180,184,185,187,186,184,183,180,174,167,165,164,166,155,145,157,160,169,182,178,178,148,156,163,168,173,176,175,165,159,154,153,153,147,136,130,136,114,117,124,123,120,119,157,153,140,185,180,179,149,157,163,168,173,175,161,134,123,130,131,135,135,128,122,114,111,111,114,108,115,112,121,115,142,182,183,181,150,157,164,168,171,166,152,125,109,114,116,118,121,123,124,125,126,113,113,122,116,113,107,102,117,133,157,184,149,158,164,164,161,152,146,132,120,116,122,130,134,136,136,132,127,105,105,123,114,106,107,99,111,124,120,181,154,163,160,158,152,151,148,138,132,133,137,143,135,133,130,126,109,97,97,99,93,90,90,88,92,102,139,185,168,163,160,158,157,155,143,121,104,112,122,124,113,107,104,99,95,108,121,135,143,151,155,159,162,169,184,184,169,165,165,162,154,139,135,104,92,105,102,87,105,144,155,170,178,188,195,199,198,197,196,195,193,190,186,185,167,166,164,152,137,135,126,102,92,84,75,69,83,114,115,156,203,194,192,191,191,190,190,189,187,187,186,184,168,167,154,140,132,126,128,127,108,83,80,85,81,74,66,69,182,198,194,194,193,192,192,191,190,187,186,185,166,154,137,131,129,128,136,140,115,85,84,86,86,85,81,80,185,198,194,194,194,194,192,192,191,190,188,186,147,136,127,126,123,118,123,119,94,79,74,73,79,80,77,72,176,200,193,195,195,194,192,192,191,190,188,186,134,129,125,124,120,109,107,99,86,72,66,76,83,84,74,78,176,200,194,196,195,194,192,192,190,190,188,186,130,124,119,114,107,96,94,100,97,81,83,91,89,75,89,182,200,196,196,196,195,194,192,191,191,190,189,187,120,111,108,104,103,102,108,115,104,86,79,77,84,102,175,201,195,196,196,195,195,193,192,191,191,190,189,186,116,113,112,107,104,104,107,104,85,81,121,152,174,194,196,192,195,194,194,193,193,192,191,190,189,189,187,185,111,111,109,104,97,93,89,89,110,164,194,196,195,192,192,194,195,194,194,193,193,192,191,190,190,188,186,184,86,87,98,97,98,105,131,165,187,191,187,188,191,192,193,194,195,194,194,194,193,192,191,190,189,187,186,184,49,52,157,157,166,176,184,184,183,185,187,190,191,191,192,193,192,192,192,192,192,191,190,189,187,185,184,183,30,65,168,167,174,175,176,180,184,186,188,191,193,194,194,194,194,194,195,194,195,194,192,192,190,189,188,185,24,92,182,168,170,171,172,173,173,174,172,172,173,174,173,170,168,168,167,164,161,159,157,154,152,147,143,118
15,67,66,68,67,71,72,73,76,77,85,95,102,109,113,117,122,123,126,128,131,134,137,138,140,141,144,145,147,67,67,67,66,70,71,69,74,77,86,95,102,109,114,118,122,123,126,129,131,133,137,140,140,142,145,146,148,68,67,67,67,69,70,83,73,74,86,95,104,111,114,119,123,124,126,130,133,134,138,140,141,144,147,149,149,68,67,67,69,57,102,151,113,89,85,91,102,111,118,121,125,126,126,128,133,135,138,141,143,144,147,148,148,69,67,66,69,59,104,154,141,131,120,106,107,102,112,120,125,127,128,131,134,136,138,141,144,145,146,148,149,68,68,68,69,69,70,113,115,112,126,125,126,115,108,104,109,112,118,124,132,139,143,144,144,146,147,149,150,67,68,67,68,71,70,73,85,85,100,109,114,129,125,118,114,112,113,112,106,109,116,130,150,146,149,150,152,67,68,67,68,69,72,72,73,79,87,90,86,110,116,115,110,113,125,132,120,101,87,72,122,153,147,151,152,68,68,68,69,70,73,74,74,78,87,95,97,103,106,104,100,95,125,132,134,115,106,79,63,137,154,149,153,66,68,68,68,70,72,73,73,77,88,97,105,112,114,114,107,107,135,133,134,124,121,103,82,76,147,154,153,67,68,68,68,69,70,73,75,78,86,93,104,110,119,125,118,145,144,123,128,140,127,122,106,73,81,152,154,68,68,68,68,70,71,73,75,78,86,110,110,111,110,116,140,150,138,100,130,140,126,142,117,90,60,94,161,67,68,68,69,70,71,73,76,71,110,143,123,129,124,106,119,117,92,75,123,123,121,150,123,93,75,57,114,67,68,68,68,68,70,72,74,74,106,124,130,150,149,117,91,102,83,55,113,106,128,144,123,99,80,66,62,67,66,66,67,68,71,72,74,76,87,102,114,144,143,111,111,118,110,102,102,107,116,121,115,97,79,66,64,66,66,66,66,67,70,70,72,77,88,97,109,119,107,105,123,121,115,121,124,111,83,80,94,86,76,66,62,65,65,64,66,66,67,68,70,76,89,97,100,111,118,93,110,123,125,129,131,113,79,65,74,74,71,72,64,64,63,64,65,66,66,67,69,75,87,97,100,121,171,102,65,68,113,122,125,107,76,69,73,71,73,75,70,63,63,63,64,64,66,68,69,76,87,95,99,119,161,106,59,26,53,102,113,94,76,75,74,72,73,77,74,63,63,63,64,64,65,67,67,76,88,95,99,115,153,97,49,68,39,61,101,76,70,73,77,78,76,76,73,62,62,62,63,64,65,67,67,74,87,96,99,115,152,89,64,79,61,73,93,104,87,86,85,82,79,75,72,61,61,61,61,62,64,65,66,73,84,93,101,110,157,75,76,100,81,113,78,113,98,91,84,78,75,74,69,58,58,59,59,60,61,64,64,72,83,92,98,117,165,61,81,151,53,130,120,92,70,73,72,72,72,72,72,61,59,61,61,60,60,62,62,70,81,92,97,114,127,54,96,152,51,116,144,96,95,100,53,56,60,58,59,107,105,103,101,98,98,100,100,102,102,103,104,113,96,78,120,112,81,124,127,130,136,135,80,50,52,52,54,81,79,78,76,77,78,81,83,80,79,77,75,78,77,81,84,82,82,84,84,85,82,84,82,62,62,69,74,80,79,79,78,78,78,79,77,77,79,78,75,77,79,79,79,78,79,81,80,79,77,78,80,80,85,90,83,81,81,80,80,79,81,82,79,80,81,84,83,82,84,81,81,82,83,84,83,84,83,84,86,83,86,114,92
8,143,143,144,147,148,148,148,147,146,145,146,144,144,144,143,141,140,140,139,137,137,136,136,134,132,130,128,128,146,146,147,149,149,148,149,149,149,147,147,146,148,144,143,143,142,142,141,139,138,138,137,135,133,131,129,129,149,149,149,150,150,150,149,149,150,150,149,142,136,147,145,145,144,144,143,141,139,139,138,136,135,132,132,131,149,149,151,152,152,153,152,150,150,149,153,139,83,138,151,146,146,146,144,142,141,141,140,139,137,135,133,132,150,151,152,153,154,152,153,153,153,149,160,125,58,132,153,148,148,145,145,144,143,143,142,141,140,137,134,133,151,152,153,155,156,154,154,155,155,152,165,100,57,147,151,149,149,146,146,146,144,144,143,142,140,138,137,135,153,155,155,157,158,157,156,158,155,160,168,91,70,158,149,151,149,149,148,146,146,145,144,143,142,139,138,137,154,156,156,156,158,158,158,159,153,168,163,82,85,161,150,154,155,148,148,148,146,145,144,144,142,140,139,137,155,157,158,157,158,159,159,158,154,172,149,67,98,164,155,130,130,158,150,148,146,146,145,145,143,141,140,138,156,157,159,159,160,159,160,161,156,178,145,96,114,160,165,134,87,122,148,155,149,146,146,146,145,142,141,139,158,159,159,160,160,161,162,162,159,180,146,125,126,155,157,161,126,87,91,103,152,153,153,149,145,144,142,141,159,160,160,161,162,163,163,162,162,174,153,134,140,172,134,168,152,142,123,55,70,107,99,146,148,144,144,142,160,161,162,162,163,164,164,160,172,170,136,144,158,161,127,114,150,137,123,75,18,29,24,72,157,144,145,143,160,162,163,164,164,164,165,164,171,148,134,138,147,147,114,59,89,159,125,86,26,15,25,29,144,149,146,144,162,163,165,165,166,166,163,175,169,127,113,116,139,133,85,42,23,170,139,92,30,30,36,34,149,149,147,145,163,164,165,166,167,167,165,189,176,144,104,75,130,116,65,38,49,167,150,95,32,20,12,92,160,147,148,146,164,165,166,167,169,165,176,196,170,141,113,83,121,145,125,148,152,139,134,93,46,0,51,156,150,150,149,147,165,167,169,167,170,165,187,189,158,145,118,103,79,160,178,149,154,122,101,94,49,32,148,158,152,152,151,150,166,168,169,170,170,171,194,179,158,147,104,88,133,175,163,127,142,125,75,89,31,96,169,154,155,154,151,148,166,169,170,170,168,176,197,176,161,142,102,130,179,170,152,125,121,119,60,61,18,135,164,156,157,154,152,150,168,169,171,170,172,180,194,179,162,139,119,161,172,161,142,114,106,101,57,28,44,167,158,158,157,154,154,153,170,170,171,175,150,180,193,178,155,135,122,153,153,142,128,102,103,75,41,6,103,171,159,158,158,156,154,152,169,168,176,157,38,81,165,161,132,119,124,130,145,129,112,96,81,47,18,20,157,162,162,159,158,156,155,153,170,170,177,71,32,24,50,129,141,129,124,123,145,122,97,74,43,29,0,98,172,160,162,159,158,157,156,155,167,183,120,27,32,31,23,31,92,123,113,121,133,96,67,47,34,6,51,171,162,164,163,159,159,157,156,155,179,157,45,30,28,24,28,9,0,27,41,82,105,64,34,29,6,34,160,168,164,164,162,161,159,158,157,156,173,75,24,30,25,19,22,26,0,0,0,0,13,21,14,0,58,160,170,164,164,164,162,161,158,157,156,155,102,23,29,26,22,15,19,24,0,0,1,0,0,0,0,38,178,166,165,164,163,164,162,159,158,156,154,153
5,151,154,156,160,162,162,162,162,164,159,180,113,126,167,158,159,158,155,156,158,152,153,151,148,153,62,0,4,154,156,158,162,163,163,165,165,165,160,199,85,83,174,159,161,159,163,149,137,158,152,153,162,113,0,13,33,157,159,162,163,165,167,168,168,171,169,198,73,107,176,162,163,158,175,116,64,166,154,155,153,42,0,18,44,158,163,164,166,168,169,171,169,148,186,176,60,143,175,164,163,164,150,63,81,169,154,164,121,7,2,16,34,160,163,166,168,170,172,177,189,63,177,155,58,164,173,168,170,143,97,47,150,165,157,168,85,0,19,37,48,162,164,168,170,173,177,173,199,69,143,151,66,176,172,175,153,107,48,113,174,162,161,169,101,14,32,36,44,163,167,170,172,175,178,174,209,106,109,127,78,183,178,149,113,71,77,178,166,165,161,171,128,28,38,33,24,165,169,171,174,178,180,179,195,121,91,89,102,193,146,93,80,52,153,177,169,168,165,167,152,38,19,12,14,169,171,175,176,180,181,178,200,142,76,58,128,179,90,65,43,126,181,170,172,170,168,167,175,75,0,0,19,170,173,177,177,180,183,180,207,171,84,71,114,133,70,48,86,190,174,175,173,172,171,169,179,110,0,1,0,173,175,177,180,185,185,184,201,169,83,75,83,92,70,46,134,188,178,175,173,174,172,170,176,145,98,98,48,174,178,179,183,186,185,186,190,164,85,55,54,60,59,57,175,188,169,176,181,177,176,173,175,157,62,143,143,177,180,182,185,186,188,187,189,175,113,64,53,40,36,102,186,121,85,99,169,186,178,174,176,149,83,161,106,178,180,183,186,188,190,189,187,186,138,68,44,42,33,76,86,66,91,94,105,142,175,177,181,176,134,74,84,179,181,183,186,189,191,191,188,199,165,98,50,41,44,39,52,73,65,104,133,118,135,146,142,155,177,101,132,180,183,186,187,190,191,194,193,209,193,145,74,41,43,54,41,31,42,91,90,117,132,123,78,79,156,159,150,180,184,188,190,194,194,195,194,209,208,165,86,45,36,48,31,85,163,179,139,125,98,119,119,98,56,158,161,182,185,188,191,194,195,195,195,215,221,168,91,50,37,20,95,216,188,193,189,136,134,144,113,80,98,169,89,183,186,189,194,195,197,198,196,220,227,174,101,55,31,8,63,143,203,179,111,111,138,102,68,149,183,183,126,183,186,190,193,196,198,199,198,220,230,178,107,61,22,21,35,42,138,93,101,127,89,41,148,191,176,178,172,185,187,190,195,197,199,198,203,223,225,173,107,63,22,23,43,51,33,64,109,85,53,136,189,179,180,179,177,185,188,191,195,196,200,197,203,229,221,167,108,63,24,26,48,55,59,71,79,62,161,197,183,183,182,179,177,186,187,190,193,195,198,196,202,228,215,155,102,63,27,31,59,61,65,55,47,158,196,185,185,181,180,178,175,186,190,191,195,197,198,196,206,221,201,145,104,64,24,36,65,69,63,42,143,197,184,188,186,183,179,179,177,186,189,191,195,197,198,190,214,220,191,146,109,60,23,30,63,73,46,86,206,185,189,188,188,183,180,181,179,186,188,191,194,199,190,196,228,219,185,147,110,61,31,32,65,68,32,149,198,187,189,188,187,183,181,181,179,187,190,194,196,198,181,221,231,210,177,151,107,55,34,45,69,37,79,200,190,189,189,188,186,184,182,181,177,186,190,194,201,183,188,234,223,193,170,149,99,48,35,49,49,44,177,197,192,190,188,188,187,186,183,183,167
15,106,109,112,115,118,123,133,144,152,157,160,164,168,173,176,178,181,184,185,187,188,191,192,192,192,193,193,192,107,110,112,116,119,123,134,144,152,159,162,163,168,173,176,179,183,185,187,189,191,191,193,193,193,195,196,196,108,109,112,117,121,126,137,146,154,160,164,165,170,176,178,182,185,187,188,190,192,193,195,195,196,196,196,196,108,110,112,118,115,121,135,146,154,161,164,167,171,177,179,184,187,188,190,192,194,196,196,197,199,197,198,198,108,110,113,115,145,153,152,152,159,166,165,168,173,178,183,185,186,189,192,194,196,197,198,199,201,201,201,201,108,113,105,153,220,170,163,158,173,182,167,162,164,173,174,184,192,193,195,195,196,199,200,202,203,202,202,202,109,113,105,153,191,134,133,132,167,165,147,148,182,183,161,150,160,181,190,200,203,199,202,204,204,204,204,204,110,111,113,116,130,122,125,121,151,144,127,138,187,186,167,134,149,158,165,162,184,209,202,205,206,205,206,205,110,111,115,118,119,129,138,146,151,148,139,142,176,180,145,138,188,172,171,160,129,176,213,204,208,207,208,207,110,112,115,118,122,130,143,154,164,170,170,170,163,142,123,208,183,183,152,184,163,116,188,214,207,209,210,209,111,111,115,118,120,130,143,153,163,167,176,205,153,124,131,186,178,149,149,184,167,151,111,202,212,209,210,210,109,111,114,118,120,131,143,155,164,166,193,214,179,123,102,104,139,123,170,155,159,168,113,129,220,210,212,212,110,113,114,117,121,132,145,155,165,168,184,217,204,162,142,124,112,126,186,151,159,135,131,93,169,224,211,213,110,112,114,117,121,132,146,156,165,170,195,193,199,185,199,179,127,125,124,132,131,106,97,101,97,202,219,213,110,112,114,118,122,132,145,157,162,185,210,178,176,164,195,172,111,112,115,110,120,104,87,95,84,109,215,217,111,112,115,118,121,133,146,157,164,183,180,145,150,155,177,139,108,113,111,114,122,113,94,93,93,75,144,227,111,112,114,118,121,134,146,156,166,176,189,154,151,125,113,105,98,103,104,106,110,107,106,103,93,90,89,205,111,112,114,118,121,135,148,158,164,182,202,202,177,135,115,135,124,82,107,118,115,112,118,116,99,93,82,144,110,113,115,117,121,135,147,158,167,174,184,201,184,154,147,140,145,88,110,137,130,131,136,127,102,88,93,89,111,112,114,117,122,135,147,158,169,174,179,179,164,141,108,104,138,159,105,136,149,146,138,120,93,91,96,92,111,111,113,116,121,135,148,160,168,174,175,178,160,136,107,90,121,151,114,114,156,153,129,107,92,96,98,97,111,111,113,115,121,135,149,160,169,174,175,182,190,195,197,177,145,169,170,141,138,134,111,102,98,102,101,97,108,109,112,113,120,134,147,159,168,173,175,180,185,189,199,197,120,139,154,164,127,129,117,94,80,79,79,82,106,108,112,112,118,134,147,159,169,173,174,180,187,191,203,173,98,95,75,79,88,90,78,64,56,54,50,45,107,107,110,111,117,133,146,158,168,173,175,181,187,191,206,151,99,103,100,55,59,71,64,58,57,54,48,40,106,107,109,111,116,132,147,158,168,174,176,182,188,193,201,130,98,95,96,88,35,61,66,60,57,54,49,41,104,104,108,109,116,131,146,158,167,174,176,181,187,196,186,104,97,94,89,96,40,38,59,56,48,47,47,38,101,102,106,107,115,130,143,155,166,172,174,180,185,200,157,96,100,91,88,99,44,31,48,50,44,48,51,34
0,197,195,196,196,197,197,196,197,197,197,200,200,197,198,198,198,198,197,198,199,197,197,197,198,198,196,196,195,197,197,197,197,198,199,199,199,199,200,200,200,201,199,197,197,198,196,199,199,197,198,198,199,198,197,197,197,197,198,199,198,198,200,199,198,200,201,200,200,202,201,199,198,199,199,200,200,199,199,199,199,199,198,197,197,199,200,200,200,201,201,200,199,193,183,193,195,195,197,198,195,194,199,202,201,202,200,199,200,200,199,198,198,200,199,200,201,202,201,199,207,188,133,120,163,166,151,170,181,165,152,181,187,186,196,199,200,201,200,199,199,201,200,200,201,201,202,201,202,192,121,64,130,161,111,101,165,151,96,96,144,123,120,155,196,201,200,199,199,202,201,201,201,199,200,194,173,185,135,82,104,146,98,71,141,128,80,70,132,110,70,84,144,199,201,200,200,202,202,203,202,198,195,182,152,160,160,107,75,125,95,60,126,120,69,72,136,106,63,83,113,153,203,200,201,203,203,204,203,200,194,181,152,128,138,106,59,111,89,47,117,133,72,74,143,120,74,98,129,103,169,204,200,204,203,204,204,202,194,179,151,118,101,82,66,103,76,39,121,128,68,92,154,142,118,112,114,92,111,205,201,204,205,205,205,202,194,184,168,139,99,81,75,84,68,52,106,110,103,149,158,147,131,107,86,74,102,203,202,205,206,206,206,203,198,190,180,163,127,87,73,69,83,92,103,135,163,172,165,149,123,104,84,65,122,207,203,206,206,207,208,204,200,196,185,176,157,112,79,78,90,101,135,172,181,181,171,150,117,96,82,64,148,210,205,207,207,207,207,204,199,203,193,188,177,143,110,106,98,116,159,180,189,192,174,144,113,92,78,73,182,209,205,207,208,208,208,205,191,206,203,199,190,169,145,135,119,125,160,177,191,196,174,138,107,89,71,109,206,208,206,208,209,209,209,208,184,199,209,208,198,181,165,155,142,135,157,179,192,187,166,128,101,89,74,163,210,208,207,209,209,209,209,212,186,186,208,212,203,190,176,164,154,146,148,170,188,178,156,119,96,82,90,197,209,208,208,209,209,208,210,211,197,171,199,212,210,197,184,174,163,148,142,155,172,163,137,110,92,71,122,210,209,208,209,209,209,209,209,211,209,171,185,209,212,196,180,174,163,148,141,147,158,148,119,99,85,72,172,211,209,210,209,209,209,210,211,210,212,189,174,209,208,186,174,174,160,152,140,132,139,135,107,89,69,118,206,211,208,210,210,210,210,212,212,211,212,201,182,207,209,190,183,186,166,154,137,121,122,125,102,78,85,185,212,211,211,212,212,210,210,212,213,212,212,206,187,210,213,199,190,194,171,152,135,116,110,115,98,70,150,211,213,213,213,213,213,210,211,212,213,212,213,206,179,207,214,205,194,191,169,149,132,118,106,110,91,78,189,214,214,214,213,213,213,210,209,211,211,212,214,206,176,206,212,206,192,183,165,147,132,120,103,104,84,95,202,210,215,214,214,214,214,209,208,209,209,211,213,204,187,205,212,205,192,180,165,149,131,121,103,97,78,112,214,212,214,214,214,214,214,210,210,209,210,211,212,199,197,205,204,201,188,177,163,149,131,119,100,91,75,128,216,212,213,213,214,214,214,211,211,210,211,212,211,196,194,202,200,199,181,169,160,148,130,114,93,85,73,147,209,210,212,212,213,213,213,212,211,210,211,214,212,193,189,199,202,198,177,160,153,146,129,110,88,80,72,168,210,211,213,213,213,213,213
15,115,120,125,129,94,82,85,88,73,25,91,101,23,0,21,45,46,52,57,63,71,88,100,106,114,119,124,129,116,121,126,128,92,87,86,94,65,33,97,103,10,0,28,43,47,52,58,66,72,89,100,105,115,120,125,129,118,123,128,126,92,91,89,99,53,44,100,97,0,0,33,43,48,53,59,66,73,91,101,105,115,121,126,130,121,124,129,122,89,88,87,103,43,56,104,94,0,0,35,42,47,54,59,66,75,91,99,107,115,120,127,131,122,127,130,121,118,107,94,94,44,66,103,84,0,0,39,42,49,53,60,67,77,94,100,109,118,122,128,132,121,128,132,125,113,115,113,105,96,91,95,76,19,18,44,44,47,52,61,66,78,96,102,110,118,123,128,132,124,129,134,115,89,84,70,88,95,97,101,107,107,94,89,83,76,70,65,66,81,100,103,112,120,123,129,134,125,130,136,112,95,90,62,60,69,62,76,109,100,100,98,101,112,112,89,73,72,78,105,111,120,124,130,135,126,131,136,110,99,100,106,80,35,68,54,84,88,83,78,85,111,129,115,88,79,44,71,116,119,125,129,135,128,132,135,107,99,100,110,74,36,113,105,34,46,80,63,90,124,128,116,105,99,65,40,98,124,126,130,135,129,134,136,104,102,101,114,63,42,112,118,4,0,35,71,136,124,128,131,128,118,91,59,52,121,127,132,135,130,135,136,104,106,100,118,65,57,113,113,0,0,43,92,151,92,126,139,145,140,103,68,40,74,134,131,136,131,137,131,106,107,117,107,87,94,90,91,0,46,123,109,73,79,129,141,151,138,101,73,57,36,106,138,136,133,139,128,105,113,121,96,103,119,115,86,65,87,88,76,34,67,162,133,117,119,103,87,64,40,52,136,137,133,140,125,105,116,102,68,86,117,120,86,69,84,80,82,89,106,108,84,86,103,105,83,61,51,28,91,146,134,141,124,110,116,115,85,62,101,102,72,77,91,87,93,106,107,82,57,65,86,86,72,57,51,38,38,125,135,141,122,115,117,118,110,37,104,71,53,71,80,84,93,106,95,69,54,55,66,69,69,67,57,48,32,54,136,142,121,117,118,124,94,40,128,53,25,38,57,61,81,94,92,69,56,58,62,62,69,73,62,55,45,30,137,142,120,120,117,128,85,76,80,35,23,3,65,79,51,75,76,66,63,65,65,65,69,70,61,54,48,38,137,139,119,122,119,124,120,65,32,25,13,0,126,135,46,67,69,63,67,75,77,75,72,66,62,58,50,42,138,139,120,125,118,132,111,38,15,49,2,0,84,137,76,70,104,94,101,103,91,79,71,62,60,63,58,44,140,136,118,126,123,131,62,23,56,120,0,0,31,92,107,55,68,107,102,98,90,75,66,58,58,60,63,54,143,134,118,130,124,140,43,74,138,120,0,0,41,46,68,48,29,75,94,82,79,68,62,61,63,65,64,60,143,135,122,133,130,143,38,108,145,115,0,0,45,50,46,49,52,70,111,79,65,65,61,65,72,71,62,58,143,131,127,134,134,140,32,114,150,106,0,0,48,47,49,52,57,57,94,124,88,54,55,56,63,71,71,62,140,129,130,136,137,131,32,126,150,90,0,0,48,46,47,50,55,61,61,117,142,102,73,53,57,71,84,69,140,130,134,137,142,121,39,135,154,74,0,6,51,45,46,48,55,60,66,84,134,102,81,93,90,96,88,77,142,135,138,138,146,109,41,140,156,58,0,11,51,43,46,49,54,59,67,83,94,89,104,117,105,109,106,99
8,184,186,186,187,188,189,190,190,191,190,189,190,190,190,191,191,190,190,188,186,184,182,181,180,178,178,176,174,187,188,188,189,190,192,193,193,193,193,192,191,192,192,193,192,191,190,189,188,186,184,183,183,180,179,178,176,188,190,190,191,194,194,195,195,195,199,204,174,192,195,195,195,194,193,191,190,189,187,186,185,183,181,180,178,190,191,192,193,195,196,196,197,195,210,210,154,192,197,197,197,195,194,193,192,192,190,188,187,185,184,183,181,192,193,194,195,197,198,198,199,197,218,208,152,196,199,199,200,197,196,194,193,194,191,190,189,187,187,185,184,194,195,197,198,199,199,199,201,199,224,213,159,203,213,192,193,206,191,189,196,194,198,189,182,191,188,187,186,197,198,199,200,200,201,201,202,201,230,212,160,222,237,192,171,221,189,162,193,189,208,187,162,193,191,189,187,198,200,201,201,202,202,202,203,201,233,215,164,237,246,203,163,216,194,149,190,188,200,192,152,190,193,190,188,199,201,201,202,203,204,205,206,204,234,230,195,243,250,210,161,208,197,141,192,186,175,197,158,169,192,192,190,201,202,203,204,206,207,207,207,207,237,232,231,239,242,210,155,195,192,138,196,176,141,186,181,148,174,195,192,202,202,204,206,207,207,207,207,214,240,230,230,234,229,203,149,193,184,139,191,159,131,176,197,146,171,196,193,203,204,205,207,208,209,210,207,225,241,210,208,209,215,212,152,190,177,127,165,147,135,196,206,150,184,197,196,204,206,207,208,209,211,210,209,234,243,195,183,180,189,211,154,192,178,119,163,140,156,216,196,151,195,199,197,206,208,209,210,211,211,212,211,239,246,205,169,170,175,183,177,195,173,142,175,152,197,214,171,154,201,201,198,207,209,210,211,212,212,214,214,241,248,214,175,157,170,189,207,193,189,204,210,203,201,189,152,160,193,188,170,207,209,210,211,212,213,215,214,241,250,222,189,159,167,197,213,220,234,239,227,203,176,157,135,128,129,120,108,207,208,210,211,211,213,214,213,240,252,231,204,173,167,200,229,246,245,234,218,190,158,135,118,115,111,105,100,208,209,211,213,214,215,215,214,238,255,242,219,194,179,205,238,247,238,224,201,171,141,121,112,108,101,99,97,210,211,211,214,216,215,216,215,233,255,248,228,208,188,207,239,241,227,207,179,147,122,108,100,85,74,63,52,210,213,214,214,216,216,217,217,226,253,250,232,208,192,204,231,228,209,187,154,124,106,96,87,74,62,58,46,211,213,214,214,216,218,220,219,224,253,243,223,202,189,199,215,207,186,165,131,109,102,96,82,65,53,53,49,212,214,216,216,218,219,221,191,187,247,217,206,190,182,196,199,182,160,133,105,95,96,97,93,72,50,45,47,184,186,188,190,192,195,200,133,115,224,210,203,189,186,190,183,159,132,101,74,78,87,86,94,88,60,42,41,124,123,121,122,123,125,132,117,78,158,204,202,193,184,174,164,137,106,60,46,57,75,74,83,94,74,48,37,118,117,120,119,118,118,122,128,111,120,161,180,180,166,153,138,110,74,24,28,54,68,66,71,89,84,58,39,122,120,123,124,124,124,128,128,112,114,117,127,141,140,126,119,86,42,17,48,78,82,57,61,79,88,70,46,125,122,124,125,125,125,131,129,111,108,106,101,99,100,99,96,70,29,35,70,88,81,49,54,70,86,78,57,125,122,125,127,128,128,134,127,114,110,106,101,91,84,80,75,68,56,57,60,61,52,37,45,62,78,82,66
24,176,179,180,180,181,182,183,183,183,184,184,185,185,185,185,184,184,184,184,183,183,182,181,176,115,51,36,26,180,181,182,183,184,185,185,186,186,186,187,187,187,186,187,187,186,187,186,186,186,185,184,178,115,41,41,41,182,183,184,185,186,187,188,188,188,188,189,189,189,189,189,189,189,189,189,189,188,187,186,184,139,50,50,55,183,185,186,187,188,189,190,190,191,192,191,192,192,192,192,193,193,193,192,192,190,189,188,187,171,72,52,49,185,186,187,190,190,191,193,192,193,194,193,194,194,194,194,194,195,194,193,193,192,192,191,189,186,120,50,38,187,188,190,191,192,192,194,195,194,195,194,195,195,195,196,196,196,197,196,195,195,194,194,192,190,163,56,33,188,190,192,192,193,194,195,195,196,197,196,196,197,198,198,197,199,199,198,197,197,195,195,195,193,188,77,35,189,192,193,194,195,196,196,197,198,199,198,199,199,199,200,199,200,201,199,199,200,197,197,196,195,195,140,127,190,192,194,195,172,192,199,199,199,199,199,200,200,200,201,201,201,201,201,201,200,200,199,199,197,196,149,167,192,194,195,195,152,154,199,199,200,200,201,200,201,201,202,201,203,203,202,202,202,201,200,200,199,197,161,189,193,195,197,195,157,116,192,200,201,201,201,201,202,203,202,203,204,205,203,203,203,203,201,201,200,199,187,169,194,196,198,198,174,118,152,202,203,202,203,203,203,204,204,205,205,207,192,184,202,203,202,202,201,200,198,161,195,197,199,200,189,150,115,189,204,204,204,205,203,195,202,206,181,202,187,139,169,206,205,203,201,191,172,158,196,199,200,200,199,177,129,134,199,205,205,206,208,175,171,208,151,140,197,143,137,206,205,203,201,176,135,118,196,199,200,200,201,192,162,138,156,203,205,207,220,194,163,182,161,128,198,154,138,207,206,205,203,150,112,123,195,197,199,199,200,199,182,157,144,171,200,207,218,217,176,144,180,135,182,163,141,205,200,210,182,121,155,197,195,197,199,200,201,201,194,178,162,178,184,191,185,217,186,135,162,150,171,175,130,175,183,197,150,130,196,200,196,197,200,201,201,202,203,198,198,194,169,158,153,184,193,144,119,157,162,186,124,125,182,174,124,180,202,201,195,198,200,200,201,202,204,206,213,189,163,143,125,133,186,149,101,167,158,198,143,148,174,147,137,202,203,202,195,198,200,201,202,203,204,205,210,211,188,150,129,137,160,158,112,161,159,143,157,172,163,119,162,205,203,203,148,153,155,159,163,167,171,175,178,216,215,192,146,132,150,164,141,140,184,145,202,170,150,118,194,205,203,203,101,101,101,103,104,102,104,104,103,196,225,220,196,142,144,177,173,160,191,202,193,150,136,113,141,143,151,170,104,102,103,104,103,103,104,105,103,157,225,214,217,174,147,154,208,224,228,211,173,138,120,111,136,167,188,207,105,102,103,102,103,105,104,105,106,118,206,210,220,199,161,147,174,223,221,193,161,126,120,192,208,205,207,212,103,102,102,101,102,104,104,105,106,106,154,216,223,208,171,149,155,205,203,176,150,113,142,188,189,204,203,202,101,102,104,102,102,103,103,104,106,105,110,201,206,188,157,140,147,176,181,157,125,107,182,184,166,177,189,193,101,100,102,103,103,104,103,103,104,105,103,172,196,166,156,149,150,163,167,144,110,115,177,193,154,144,168,188,101,101,101,101,103,106,102,101,103,104,104,148,201,184,179,168,159,164,164,133,101,122,173,190,162,133,160,178
4,170,169,169,169,169,169,168,168,167,165,165,163,164,166,163,162,162,158,157,157,156,156,155,155,153,150,148,148,171,170,171,170,171,170,169,169,169,167,167,168,168,167,163,160,162,164,157,157,157,156,156,155,153,152,149,149,173,173,172,172,171,170,171,171,170,169,158,144,148,162,164,138,109,129,166,161,162,162,155,156,155,153,150,150,174,174,173,172,172,172,172,172,171,172,163,155,142,122,122,136,126,88,130,149,125,139,160,155,156,154,152,151,174,174,173,174,174,174,173,173,165,164,161,154,150,143,102,80,117,121,87,82,90,68,128,163,154,155,154,152,176,175,175,175,174,175,173,169,157,157,145,115,75,124,110,57,83,120,88,55,82,73,78,164,155,156,155,154,177,176,176,177,176,175,175,171,171,159,149,124,70,88,111,63,66,100,71,54,95,91,62,147,160,156,155,154,176,176,176,176,175,175,177,170,129,100,126,142,87,82,118,108,93,91,61,64,103,93,60,143,163,155,155,154,178,177,177,177,176,176,175,177,142,85,50,150,125,97,118,137,137,96,93,94,93,113,76,140,162,156,155,154,178,178,179,177,177,178,178,169,125,78,30,88,126,82,85,101,128,103,96,99,93,106,71,105,169,157,156,155,179,178,179,181,178,177,179,159,122,104,93,62,63,73,62,56,78,108,99,94,90,87,78,74,165,159,157,156,180,179,181,181,179,177,179,162,149,128,94,66,53,70,66,71,62,76,89,84,81,99,96,60,144,164,158,157,181,181,181,181,180,179,180,168,150,118,88,62,60,67,71,90,83,60,47,89,128,123,104,63,113,168,157,156,182,182,183,182,182,180,179,170,137,103,76,57,59,70,90,93,92,91,102,111,126,129,115,84,82,167,158,156,183,183,183,182,182,179,180,169,142,118,87,64,70,78,90,104,103,121,144,144,121,145,136,99,65,157,161,157,185,184,184,184,183,181,179,174,153,124,93,68,67,78,103,116,122,131,144,152,145,128,122,95,53,147,163,157,183,183,184,184,185,183,178,169,156,132,103,71,66,84,105,120,135,143,152,147,134,124,99,76,56,158,163,158,183,183,184,184,185,183,176,164,162,143,115,87,71,72,103,130,142,156,157,145,126,111,91,49,94,172,159,159,184,184,184,184,185,184,175,159,162,148,121,99,81,70,105,143,152,161,154,138,117,102,77,46,149,167,161,160,184,183,183,184,184,185,174,155,154,146,124,104,87,78,105,152,153,154,144,127,107,94,57,88,175,161,163,162,184,184,185,185,186,187,176,153,149,149,134,110,94,87,114,153,148,143,132,114,98,82,48,144,170,163,162,161,184,185,186,186,186,187,179,152,151,152,139,115,105,92,121,147,143,137,121,99,88,56,79,175,166,166,163,162,185,185,186,186,186,187,186,161,154,156,144,123,107,89,117,141,137,129,109,86,73,45,144,174,168,167,165,162,186,187,186,186,187,187,188,166,162,160,142,128,111,90,107,134,125,113,92,78,42,97,180,168,168,166,164,163,186,186,186,187,188,188,186,172,168,155,142,132,117,98,100,116,108,93,79,54,61,170,171,168,167,166,164,163,187,187,187,187,187,188,185,174,168,153,140,127,114,103,95,101,97,81,66,38,146,178,169,169,168,167,165,164,188,188,188,187,187,188,180,173,164,153,144,136,126,118,101,94,91,77,43,95,183,170,171,169,167,167,166,164,188,188,188,188,187,188,172,172,165,155,145,143,129,121,105,91,85,64,48,155,179,174,172,170,168,167,165,164
21,137,139,141,141,142,142,142,143,144,144,144,148,145,145,145,145,144,144,144,145,144,144,143,142,141,140,140,139,140,141,145,145,145,145,145,146,147,148,145,127,148,148,148,148,147,147,148,148,148,147,145,145,143,142,142,141,143,145,147,148,149,149,148,149,149,150,157,96,129,157,149,152,151,150,150,150,149,149,148,147,147,146,146,144,146,147,149,149,151,151,152,153,153,153,161,101,112,162,153,154,155,155,152,153,151,151,150,149,149,149,147,147,149,150,152,153,154,154,154,156,155,156,163,101,98,163,156,148,121,147,159,155,155,154,153,153,152,152,150,148,152,153,155,156,158,158,158,159,159,158,168,118,93,161,159,147,101,108,167,157,157,156,155,155,155,154,153,152,154,156,159,159,160,160,161,160,162,158,175,149,93,152,167,145,106,95,165,161,160,160,158,158,157,156,154,153,157,159,160,160,162,162,163,163,165,161,177,156,93,138,171,144,108,91,158,167,163,162,161,160,159,158,158,156,159,160,163,163,163,164,165,165,165,162,180,167,107,126,175,152,129,97,154,169,164,165,164,163,162,161,160,159,161,163,164,165,166,166,167,167,166,166,158,154,132,115,176,149,128,98,151,171,166,166,165,164,164,163,162,160,164,166,165,165,167,167,168,169,168,173,154,118,114,109,173,146,138,96,150,176,168,168,167,166,166,165,164,162,165,166,167,168,169,170,169,171,168,184,176,135,79,89,173,152,153,109,152,177,170,169,169,169,168,166,166,165,166,168,169,170,171,171,172,172,172,184,183,137,104,133,134,124,135,116,121,179,171,172,171,170,170,169,168,166,168,169,171,171,171,174,175,173,168,155,170,141,97,119,109,122,115,118,102,158,178,173,173,172,171,171,169,168,170,171,173,174,174,176,175,176,162,107,130,158,85,53,96,110,87,148,120,124,183,173,175,174,173,171,171,170,171,173,175,176,176,177,175,179,171,128,91,160,116,64,76,65,122,177,149,106,167,178,175,175,175,173,173,171,172,174,174,175,176,176,180,171,167,155,89,146,139,66,85,136,124,165,159,105,123,186,175,176,176,174,175,173,174,175,175,176,177,178,180,185,155,149,100,81,88,55,84,165,158,147,127,97,89,176,179,176,175,174,175,174,174,175,176,177,179,179,179,174,140,138,101,71,61,72,121,169,171,145,105,87,89,174,180,178,177,176,175,175,175,177,177,180,181,181,178,173,168,125,120,103,75,111,165,177,163,141,106,80,108,188,179,180,178,177,176,176,176,177,178,180,181,183,178,183,159,142,130,118,86,140,183,174,165,138,104,71,144,191,180,181,180,179,178,177,177,178,180,181,181,183,181,183,170,153,120,157,145,178,187,180,166,123,93,76,173,186,182,181,180,181,179,178,178,179,180,181,182,183,183,180,179,143,141,156,166,191,196,188,152,110,78,98,190,182,183,183,182,181,180,179,178,180,181,181,183,183,184,170,172,157,153,141,161,182,190,175,133,103,71,131,196,184,184,183,183,182,181,179,178,179,180,182,183,182,185,167,167,163,156,141,155,170,168,147,111,90,76,171,190,186,186,184,183,182,183,184,176,179,180,181,181,182,186,177,158,157,152,150,141,146,150,123,93,70,123,195,186,186,185,185,184,182,181,172,178,179,181,181,182,182,184,187,159,155,151,154,135,134,140,110,81,78,178,188,187,186,186,185,184,184,182,118,179,180,181,182,183,184,184,188,165,150,140,141,128,125,129,105,68,103,192,186,188,187,187,184,188,158,129,96
2,172,173,174,176,175,176,176,177,177,176,175,175,174,174,174,174,173,172,171,168,168,167,165,163,161,159,158,157,174,175,176,177,178,178,178,179,178,177,177,176,176,176,176,175,174,174,172,171,169,168,166,165,163,162,160,158,177,178,178,179,179,180,180,180,180,179,179,178,168,160,163,161,154,147,141,151,170,169,167,166,165,164,162,160,178,179,179,180,181,181,181,181,182,181,180,170,153,146,148,148,138,118,102,98,135,166,169,167,166,165,163,161,180,180,181,182,183,183,183,183,184,184,174,155,151,151,144,145,143,108,101,110,116,120,142,167,168,167,165,163,181,182,183,184,184,185,185,185,186,185,176,164,155,139,127,123,114,80,83,100,105,84,89,159,170,168,165,164,182,182,184,185,186,187,187,188,188,182,175,166,148,121,99,89,105,131,146,127,108,92,121,169,170,169,166,165,183,184,186,186,186,189,189,189,184,168,163,146,115,73,57,102,176,183,182,180,174,169,174,174,171,169,167,166,184,185,187,187,188,189,190,190,182,163,147,111,73,53,55,142,187,184,182,181,179,178,176,175,173,171,168,167,184,186,188,189,189,190,191,190,181,161,118,69,50,45,87,180,187,185,183,182,180,178,177,177,174,172,170,168,186,187,189,190,191,192,192,188,181,158,109,55,47,45,125,191,187,187,185,183,181,180,170,148,142,163,171,170,187,188,189,191,192,193,193,185,180,152,102,55,55,54,126,192,188,188,186,184,183,171,127,97,90,130,173,170,187,188,190,192,193,194,192,185,176,143,88,59,62,58,137,193,190,189,187,187,176,132,106,99,89,127,174,171,188,190,191,193,194,195,191,187,175,138,90,73,63,58,151,194,191,190,189,182,137,104,105,95,93,158,175,173,189,191,192,193,195,195,189,187,174,141,99,77,61,55,117,191,192,191,188,149,92,90,96,83,128,177,176,174,189,191,192,194,195,197,188,185,172,140,103,77,61,59,68,116,169,188,154,109,87,82,81,92,170,179,177,175,190,192,194,195,195,196,188,182,166,138,108,77,61,61,66,70,94,119,94,91,94,81,85,152,181,179,178,175,192,194,195,196,197,196,187,182,167,138,103,75,60,61,66,73,79,77,77,85,82,93,158,184,181,180,178,175,191,194,195,196,198,196,184,186,175,136,103,79,60,63,68,72,80,82,76,80,89,162,186,183,181,180,178,176,193,194,195,196,197,193,183,191,172,131,102,80,61,63,69,73,80,84,76,72,149,189,185,183,182,180,179,177,193,195,196,198,198,190,185,189,163,124,101,82,62,64,73,78,81,80,72,126,187,189,186,185,183,181,180,179,194,195,197,198,199,188,186,183,155,120,102,83,63,65,76,80,81,71,93,184,191,189,188,186,184,182,180,179,194,195,197,198,199,186,186,175,147,121,103,82,63,66,78,78,73,65,150,195,192,190,188,187,185,184,181,180,194,196,198,199,199,185,179,163,138,116,98,79,62,66,76,72,62,114,192,194,193,191,189,187,186,184,182,181,194,195,197,199,197,184,172,157,134,113,95,77,63,66,70,62,101,185,196,194,192,191,189,187,186,184,182,180,194,196,197,199,194,182,164,150,126,107,90,75,62,60,61,105,183,200,196,195,193,192,191,188,186,185,183,180,194,196,198,198,194,178,160,147,123,103,85,70,55,76,143,191,200,198,196,196,194,193,191,188,187,185,183,180,194,196,197,195,192,174,157,143,124,100,80,62,58,154,203,200,198,199,197,196,193,191,191,188,186,184,182,180
6,154,157,161,164,167,170,173,175,177,179,181,181,182,184,185,186,187,186,187,187,187,188,188,187,186,187,185,185,155,158,162,165,168,170,173,176,178,179,181,182,183,185,186,186,187,187,188,188,188,188,188,188,187,188,187,186,155,158,162,165,169,171,174,176,178,179,182,183,184,185,186,188,187,188,188,189,189,189,189,188,188,188,187,186,156,159,163,166,170,173,176,178,179,180,182,184,185,186,187,188,188,189,190,190,190,190,191,189,188,188,188,188,157,161,164,168,171,173,176,178,179,181,182,185,186,188,187,188,190,192,192,191,191,191,191,191,191,189,190,190,157,161,165,168,171,174,176,179,181,181,182,185,187,188,187,188,191,191,192,192,191,191,192,192,193,191,190,190,158,162,165,169,172,175,178,179,181,181,183,183,185,187,184,185,186,191,190,185,183,174,172,181,188,189,191,191,159,162,166,169,176,187,189,180,180,186,191,194,197,199,189,191,192,203,200,190,184,168,158,172,175,166,191,191,158,160,165,182,200,205,198,179,164,169,188,195,197,195,185,181,188,187,184,182,174,162,155,161,159,155,192,192,158,171,191,206,206,205,199,183,149,127,141,148,151,154,155,155,151,148,151,151,148,148,153,160,165,183,193,192,187,205,206,201,201,206,205,184,145,109,100,96,98,116,131,144,161,176,182,184,186,188,190,191,192,193,193,192,209,205,201,203,207,205,188,154,132,111,103,103,98,109,160,187,193,193,194,195,195,195,194,194,194,193,193,193,208,205,205,203,203,194,180,155,126,109,103,109,113,107,117,142,186,196,195,196,195,195,195,195,195,194,193,193,208,207,205,203,204,204,205,177,129,110,98,99,113,116,114,99,125,187,196,196,196,196,195,195,194,195,194,193,203,204,203,201,204,212,204,166,128,115,114,110,106,105,113,108,93,135,196,197,197,196,195,195,195,195,194,193,201,201,198,198,206,210,183,149,128,120,118,120,118,99,95,98,99,113,192,197,197,196,195,194,195,195,194,193,194,194,192,192,199,199,178,146,120,110,116,125,132,114,103,93,93,130,186,188,188,187,186,186,186,186,185,185,195,195,193,192,197,197,185,149,117,97,95,108,135,131,118,103,98,117,130,129,127,127,126,125,124,123,122,121,197,197,198,197,203,201,183,141,117,116,113,109,105,112,117,112,108,101,98,99,100,100,99,97,96,96,95,94,195,193,191,192,200,192,171,138,123,124,123,117,110,103,101,105,107,104,103,103,104,104,103,101,100,101,100,98,186,180,175,180,185,175,159,140,129,127,126,117,109,104,104,109,109,108,106,104,103,102,103,103,102,101,100,99,172,167,163,169,169,155,141,130,121,116,120,118,116,113,110,110,109,109,106,105,104,103,103,103,103,102,102,101,156,152,145,142,138,127,116,110,106,100,102,107,111,112,108,107,107,107,105,104,103,102,102,103,102,101,101,101,132,126,117,112,111,111,111,110,109,109,108,107,109,109,108,108,107,107,106,106,103,103,103,103,102,101,100,99,105,108,109,109,110,111,111,111,110,110,111,110,110,109,108,108,106,106,106,106,103,103,103,102,102,100,97,118,107,110,111,110,110,110,110,110,110,110,110,108,109,108,108,106,105,105,105,105,103,103,103,103,103,97,114,182,110,111,111,112,112,110,110,110,110,110,109,109,109,108,108,106,106,105,105,105,104,104,104,105,103,104,172,194,111,110,111,111,110,110,109,108,109,108,108,109,109,108,108,107,106,105,105,105,104,104,104,107,102,150,198,177
20,137,141,144,147,149,152,154,155,157,158,160,160,159,159,163,164,161,163,163,163,163,165,164,163,164,164,163,161,141,145,148,152,154,156,158,159,162,163,164,164,162,178,142,151,170,166,166,167,167,167,168,167,169,168,165,165,144,148,152,155,157,160,163,164,165,166,167,168,168,202,122,117,169,169,169,170,170,170,172,171,171,170,168,167,147,151,156,158,161,165,165,167,169,170,171,171,175,203,126,105,137,138,181,173,174,174,175,174,173,173,171,170,151,155,160,162,165,167,169,170,172,173,175,175,178,199,122,127,159,104,183,177,176,176,177,177,177,176,175,174,155,158,162,165,168,170,172,173,175,175,178,178,182,201,127,141,173,97,174,183,180,180,180,181,180,179,178,177,157,161,165,168,172,173,175,177,179,180,180,179,187,207,133,142,185,101,168,188,183,183,184,183,182,182,181,180,159,163,167,171,174,177,179,180,181,182,184,180,194,204,133,141,197,109,159,193,185,186,187,187,186,186,185,183,162,165,169,173,176,179,181,184,186,186,186,183,203,207,137,148,198,117,147,197,187,190,190,189,189,189,187,186,165,167,172,175,178,182,184,186,188,190,187,159,192,221,135,153,209,126,139,202,190,193,193,193,192,192,190,188,166,170,173,177,181,184,187,187,182,197,212,161,144,169,114,140,214,134,138,204,192,195,195,195,194,193,192,191,169,174,177,179,183,187,189,194,183,164,209,188,120,97,82,122,184,134,135,205,195,198,197,196,196,196,195,193,171,175,180,182,186,190,190,202,211,160,163,188,147,141,113,109,148,129,130,208,198,200,200,199,199,199,198,195,172,176,180,185,188,192,194,191,188,164,129,178,167,181,163,103,104,118,120,207,199,201,201,200,200,200,199,199,175,179,183,186,190,194,196,190,156,161,113,188,168,173,168,112,78,87,116,209,199,202,203,202,203,202,201,201,176,181,185,188,191,195,196,198,190,162,134,138,124,92,170,141,91,67,109,210,202,206,206,206,205,203,202,201,177,181,186,190,193,197,197,207,183,130,95,65,66,52,146,178,118,73,89,208,207,207,207,208,206,206,204,203,179,183,187,191,194,199,201,207,185,148,112,94,92,97,168,207,150,97,81,198,211,207,208,209,208,207,207,206,180,184,187,192,195,199,199,209,201,153,119,110,125,174,220,197,153,118,85,194,214,208,210,211,210,209,209,208,181,185,189,193,196,200,200,210,205,164,130,133,146,206,220,186,138,107,90,205,213,210,211,211,211,210,210,209,181,187,191,194,198,202,200,211,213,182,154,141,152,215,202,170,126,90,96,213,212,212,213,213,213,212,211,211,183,187,193,196,200,202,201,209,219,191,158,152,157,216,195,155,118,88,100,215,214,215,215,215,214,214,213,211,183,188,193,196,200,202,203,204,212,187,171,176,159,212,190,141,108,84,111,218,214,216,216,216,215,215,214,212,183,187,192,195,200,201,203,202,197,189,172,178,152,201,173,132,101,77,124,224,213,215,215,216,216,216,214,213,183,188,193,197,199,201,202,203,200,189,172,174,138,178,152,116,101,75,146,224,212,214,215,216,216,215,214,214,185,189,193,197,199,202,203,203,205,194,164,151,117,155,133,112,103,82,190,220,214,215,217,216,216,215,215,214,185,190,193,196,199,201,204,201,207,195,166,136,124,163,122,120,88,126,221,215,216,216,218,217,216,216,216,215,185,190,194,197,199,201,205,200,209,205,180,155,150,162,113,115,77,183,219,215,216,217,219,217,217,217,216,215
0,191,192,193,193,194,195,195,196,196,196,195,194,195,195,195,195,195,195,195,196,195,195,196,196,194,194,194,194,192,193,194,194,194,196,197,196,197,196,195,196,196,197,196,195,194,197,197,197,196,197,197,197,196,196,196,196,194,195,196,196,196,196,197,197,197,197,197,196,194,196,205,188,161,171,193,187,190,198,197,195,196,197,198,198,195,195,196,197,198,197,197,198,198,199,202,196,171,167,206,183,154,133,134,147,147,177,184,157,189,199,199,199,196,196,197,198,199,198,198,199,198,200,220,205,169,141,180,188,167,143,95,136,136,129,165,126,177,202,199,199,197,198,199,199,199,199,200,204,184,177,220,206,178,151,174,204,175,150,106,153,145,120,143,126,168,203,201,201,197,198,200,200,200,200,205,222,182,150,189,213,185,158,166,218,186,155,113,165,148,111,120,128,145,205,202,202,197,198,200,200,201,201,214,220,191,164,166,221,192,158,153,219,189,152,110,165,144,100,107,134,107,190,202,203,198,200,200,200,200,212,209,211,201,174,147,208,195,154,136,213,185,140,92,137,131,92,99,139,93,150,206,204,199,201,201,201,204,214,188,203,208,179,136,186,197,150,115,187,171,127,82,111,115,84,101,145,99,126,206,205,201,201,203,201,211,206,174,184,203,176,131,158,188,142,99,151,157,121,83,97,104,79,118,155,111,128,207,207,200,201,203,202,212,202,176,168,186,161,120,130,171,133,88,120,149,117,81,99,107,92,156,169,120,133,208,208,199,200,201,206,213,194,165,142,168,151,113,109,160,129,78,99,148,114,84,120,117,116,180,171,121,141,208,207,199,200,201,203,222,206,172,132,141,147,108,98,155,134,77,95,154,125,138,173,148,127,172,172,120,151,209,207,200,201,201,205,223,211,179,140,111,131,120,98,158,146,93,108,161,168,180,176,158,133,134,154,112,153,208,206,201,201,201,208,227,215,190,158,125,116,129,115,160,162,149,177,190,187,178,165,147,132,114,114,97,150,209,207,202,202,202,208,228,220,198,172,154,143,142,157,175,186,199,203,201,191,175,158,137,120,110,94,86,149,211,208,202,202,202,208,223,222,207,187,173,161,152,158,178,193,202,203,202,191,170,154,133,113,101,91,87,168,211,209,201,202,202,205,218,220,213,200,187,170,161,159,173,190,201,200,195,185,165,149,128,109,96,89,133,202,211,210,200,202,202,199,215,220,220,209,193,175,163,162,173,194,203,199,189,179,162,145,123,103,88,123,196,209,211,210,164,167,171,167,199,220,223,210,195,178,166,162,174,196,200,193,182,172,157,136,115,95,100,183,210,211,211,211,104,106,108,103,156,216,215,205,196,183,169,159,173,193,190,179,167,157,144,124,106,93,114,161,166,168,170,171,104,104,103,98,127,210,203,197,196,187,173,158,169,188,182,166,147,134,123,112,98,96,99,102,104,106,126,153,103,104,104,101,119,204,193,193,197,187,172,158,164,185,176,154,126,111,103,98,99,104,103,106,134,173,204,206,102,102,103,102,115,202,193,194,197,184,172,162,160,177,169,139,106,94,90,97,107,117,143,181,212,217,210,195,102,102,102,102,112,205,205,196,195,181,169,164,154,163,158,125,96,88,89,102,130,189,223,233,226,220,212,194,102,103,102,101,109,203,212,203,194,179,170,168,149,154,151,117,91,85,97,149,210,233,235,230,221,225,226,214,103,102,102,102,108,194,211,209,194,178,170,168,146,147,147,113,86,80,147,214,226,231,232,219,215,222,231,231
5,103,109,112,114,120,125,128,131,134,136,136,139,142,142,143,144,145,145,144,144,143,143,142,142,141,140,140,139,104,110,113,115,121,127,131,133,133,146,143,108,145,144,145,145,147,146,146,146,145,144,143,143,142,141,141,141,105,112,115,118,123,128,132,135,130,166,138,96,145,146,146,146,147,147,147,148,146,146,145,145,144,142,142,141,106,113,115,118,124,128,132,134,139,183,100,114,150,146,147,148,148,148,148,145,147,144,146,146,145,144,143,142,107,113,116,117,124,130,135,130,164,183,85,134,150,148,149,150,150,147,148,159,171,107,129,151,146,146,143,143,108,115,114,131,127,125,137,129,183,172,92,144,149,149,150,153,148,153,182,168,131,97,139,151,147,146,145,144,109,117,109,164,136,96,142,133,196,154,98,150,150,151,153,150,159,198,172,104,103,145,151,149,149,148,146,145,109,118,109,169,130,93,142,139,203,137,100,154,151,153,150,160,197,176,114,98,148,155,151,149,149,148,147,147,111,119,114,184,117,102,141,149,202,125,95,156,151,151,161,192,163,108,105,152,157,153,152,151,151,150,149,147,112,119,117,182,125,96,142,154,193,138,89,149,154,153,186,172,100,95,152,158,155,154,153,153,152,152,150,148,112,121,115,172,152,89,141,149,191,141,82,145,158,163,176,131,86,135,163,154,156,156,156,154,154,153,152,151,114,122,117,155,176,94,108,146,183,140,71,125,155,144,128,98,113,159,154,156,158,158,156,155,150,151,153,152,116,121,120,140,181,139,120,110,158,160,100,82,101,105,92,99,149,150,179,185,181,177,170,158,103,124,163,150,117,122,125,131,152,164,157,131,130,147,107,84,84,91,90,119,136,161,155,142,153,169,158,141,113,88,141,158,117,123,125,131,135,143,161,174,178,154,109,80,80,83,101,106,107,125,94,87,164,176,139,113,100,93,138,159,118,123,124,131,139,139,143,181,201,178,123,80,81,81,90,99,92,75,105,157,188,143,97,110,145,158,160,156,120,124,126,132,139,146,145,163,197,189,136,85,78,76,81,89,74,112,173,166,163,103,93,160,166,160,159,158,120,125,127,134,139,145,150,149,185,200,158,101,75,76,74,72,63,117,147,152,161,98,123,171,160,161,161,160,121,125,128,135,140,145,151,149,178,205,174,123,81,71,70,78,91,114,122,147,151,93,141,170,163,162,162,160,120,125,127,135,140,143,149,150,164,209,188,147,95,71,72,81,92,123,139,134,137,93,148,169,163,163,162,161,120,125,127,133,140,145,149,150,160,211,199,167,115,75,73,80,103,135,138,116,108,85,153,168,164,162,161,160,120,125,127,133,141,147,152,152,160,209,201,177,133,86,71,87,116,139,131,101,86,109,169,166,166,163,162,161,121,127,127,135,141,146,151,153,158,203,203,180,151,102,77,79,120,132,124,91,87,161,170,167,166,164,163,162,121,126,128,133,140,146,150,153,156,190,205,183,162,121,91,76,109,126,111,84,101,172,166,166,166,164,162,161,119,125,128,135,141,148,153,159,158,183,199,193,173,145,107,84,88,111,100,81,135,180,171,172,171,169,167,169,112,116,119,123,125,130,132,137,131,175,207,204,182,151,112,92,85,98,89,87,132,139,136,136,136,136,137,127,83,84,83,85,83,82,82,86,71,160,218,202,178,138,107,95,88,89,89,83,75,74,71,72,73,70,67,115,88,89,89,89,89,87,89,93,79,157,212,193,158,112,98,91,89,91,87,82,82,81,80,81,77,84,155,191
20,148,149,150,149,150,152,152,153,153,153,153,153,153,153,152,151,149,151,148,147,147,146,144,143,141,139,138,136,152,153,154,153,154,155,156,156,156,156,156,156,155,156,154,162,151,117,156,153,149,149,147,145,144,142,140,139,156,156,157,157,158,158,158,158,159,159,160,159,159,159,157,166,161,96,127,147,155,151,150,149,148,145,144,142,158,160,161,161,161,161,162,163,163,164,163,162,162,163,161,165,163,91,78,100,149,156,154,152,150,149,147,145,162,162,163,163,164,165,165,166,167,167,166,165,167,167,164,172,159,79,108,108,122,165,156,156,154,153,150,149,166,167,167,167,167,169,169,169,169,169,168,169,170,170,166,176,155,76,131,126,99,167,158,158,156,155,153,151,168,170,170,171,171,171,172,172,172,172,172,172,172,173,169,183,161,85,135,134,93,166,162,161,160,159,157,154,171,172,173,174,174,174,174,174,174,174,174,175,175,174,171,190,149,80,141,155,97,162,168,164,163,162,160,156,174,175,175,174,176,176,176,177,176,177,177,177,177,178,179,196,133,81,157,155,91,157,173,167,165,164,163,161,176,177,177,178,178,179,180,180,180,179,179,181,180,166,164,195,141,98,172,152,85,153,174,169,169,167,164,162,180,181,181,182,182,181,182,183,182,181,181,182,183,176,154,151,143,93,152,157,94,152,176,170,170,169,168,165,182,182,182,183,183,183,184,185,184,184,184,184,182,189,194,160,125,100,139,163,105,146,180,173,173,171,170,167,183,184,184,185,186,186,187,186,187,187,186,187,185,151,162,161,157,125,104,138,98,140,185,174,174,171,170,168,185,186,187,187,187,188,188,187,188,188,188,187,191,162,89,146,173,117,72,92,84,129,188,176,176,174,171,170,187,187,187,188,189,189,189,188,189,189,189,189,194,166,65,122,171,135,90,75,66,117,190,178,177,175,174,173,188,188,188,189,190,190,190,190,191,190,190,190,186,162,109,97,133,154,116,106,70,99,192,180,180,178,176,175,189,190,191,192,192,192,192,192,192,192,193,185,185,164,137,95,74,129,135,114,75,79,189,183,182,180,178,177,192,192,193,193,193,193,193,194,193,194,189,185,166,166,160,128,91,100,127,126,89,68,179,187,182,181,180,178,193,194,194,195,194,195,194,195,195,194,185,175,132,116,151,144,97,84,111,151,121,66,144,196,183,182,181,179,194,195,195,195,196,195,196,196,198,196,185,179,147,82,90,137,84,67,96,152,149,89,86,191,186,184,184,181,196,196,197,197,198,197,197,198,198,198,186,171,148,117,72,102,89,70,131,176,161,109,66,178,190,186,185,182,197,198,199,199,199,199,199,199,198,200,184,179,176,123,84,102,115,110,182,178,151,92,77,188,189,187,186,183,198,199,200,200,200,200,200,201,200,203,183,179,178,131,104,104,168,192,191,156,137,70,105,200,186,187,187,184,198,199,200,200,200,200,201,201,202,204,184,173,168,142,108,102,179,193,173,139,119,66,139,201,187,188,187,186,198,198,199,199,200,200,200,200,201,204,186,164,160,143,112,102,168,177,157,126,99,65,170,196,188,188,186,184,199,199,200,201,201,201,201,202,202,203,195,166,160,143,124,111,166,176,147,112,75,82,196,190,187,188,192,188,199,199,201,201,202,202,202,203,204,203,205,174,158,147,132,104,150,163,128,93,54,143,202,194,195,185,154,107,200,200,201,201,202,204,203,203,205,204,203,181,165,147,129,106,122,130,95,65,73,194,192,160,132,94,56,47
8,162,163,162,163,164,164,164,164,163,164,164,163,165,165,164,165,165,165,164,163,162,162,162,162,160,160,160,159,163,163,163,165,166,165,165,166,165,165,165,165,153,158,168,166,166,166,165,165,164,163,163,163,161,160,161,160,165,165,165,166,166,166,166,167,166,166,164,175,140,126,173,166,168,167,167,166,166,166,165,164,164,163,162,162,165,166,167,167,167,168,167,167,167,167,167,177,124,125,175,167,168,169,168,168,167,167,167,165,165,164,164,163,167,167,168,167,169,169,168,168,169,166,174,174,103,138,175,168,169,170,170,168,168,168,167,167,166,165,164,163,167,168,168,168,170,170,169,170,171,167,180,172,96,148,175,170,171,171,170,170,170,168,167,168,167,166,166,165,168,169,169,170,170,170,170,171,172,168,185,160,100,162,175,171,171,171,170,170,171,171,169,170,167,167,167,167,170,170,170,171,171,170,171,171,171,170,186,139,105,171,171,173,175,171,175,174,169,170,171,172,171,168,168,168,170,170,171,172,172,172,171,171,170,175,183,136,106,181,169,139,158,174,151,162,177,172,174,166,166,170,169,170,171,171,172,172,172,172,172,173,170,180,182,143,113,196,177,138,122,172,129,117,137,140,156,149,113,167,171,169,171,171,172,172,172,172,172,174,170,184,180,141,142,205,184,159,111,153,146,111,99,124,143,146,81,161,174,169,171,171,173,173,173,173,173,173,172,185,176,142,164,204,193,169,107,133,149,112,148,131,154,156,85,160,174,169,171,171,173,173,173,173,173,172,178,177,165,161,164,185,198,168,111,118,138,122,162,128,157,167,111,147,179,170,170,171,172,172,173,173,174,173,182,157,161,169,160,155,197,171,117,99,125,140,153,121,151,168,141,116,176,173,170,171,172,172,173,173,173,174,184,148,144,163,148,150,187,178,121,82,110,147,145,102,137,171,137,92,164,176,171,171,172,172,173,173,172,175,190,147,120,140,135,127,172,177,114,76,103,148,136,92,149,159,109,107,177,171,171,172,172,173,173,174,172,179,198,156,111,122,115,111,142,173,136,74,96,156,128,102,157,129,87,149,179,171,172,172,173,173,173,174,173,187,198,171,110,114,114,111,131,164,150,75,93,144,110,138,134,94,104,178,172,172,172,172,172,172,173,174,175,189,195,180,121,100,114,108,124,156,117,94,147,154,141,160,120,77,147,179,172,174,172,171,172,172,173,173,174,191,194,187,124,104,122,111,141,174,160,169,167,154,136,139,117,79,168,177,174,175,171,173,175,177,178,179,176,191,194,184,124,113,122,123,169,184,184,179,162,153,127,111,94,105,180,174,175,176,113,117,120,122,124,122,141,195,191,179,128,134,118,146,189,189,186,181,166,146,118,95,78,149,181,174,171,167,87,87,88,87,88,82,104,199,192,178,146,140,123,148,194,193,189,173,159,133,107,86,84,103,103,107,128,157,95,95,95,96,95,95,99,188,193,183,154,141,137,141,194,196,179,159,147,117,95,82,84,96,123,155,175,177,96,95,94,95,94,96,90,177,192,177,152,142,138,142,198,186,168,146,129,103,83,98,142,169,185,182,183,178,96,95,93,94,96,96,94,179,182,165,150,142,134,156,190,170,156,127,110,92,73,168,198,167,160,162,166,175,93,94,94,94,95,93,105,186,174,159,148,143,140,161,167,159,141,112,107,81,103,171,183,184,166,152,157,158,94,94,94,93,96,88,117,191,167,157,151,146,146,158,158,152,130,106,101,87,156,161,151,169,177,155,130,126
12,189,192,195,198,200,201,204,207,209,211,212,212,214,214,215,217,216,216,217,216,217,219,218,218,218,220,220,219,191,193,196,199,202,205,207,209,211,213,215,215,217,216,218,218,218,219,220,218,219,221,219,219,220,222,222,222,193,196,199,201,205,208,209,211,214,216,216,218,219,219,218,220,221,221,222,220,221,223,220,221,224,223,223,224,195,199,200,203,206,209,212,214,216,218,218,217,224,227,225,222,224,225,228,230,222,224,225,225,226,226,225,225,196,200,202,206,208,209,213,216,218,220,219,221,217,199,207,227,227,211,184,200,230,224,228,227,226,226,227,227,199,201,205,207,209,211,216,219,219,221,220,238,226,191,154,207,246,218,179,121,222,231,227,236,229,229,229,229,200,202,207,210,212,215,217,220,221,222,221,255,253,222,176,147,250,219,189,140,157,177,170,182,235,230,231,231,202,205,208,210,214,217,219,222,223,224,228,255,255,234,191,139,245,232,192,162,88,155,169,115,184,243,231,234,204,207,209,213,216,218,220,224,226,225,236,250,255,254,210,156,232,245,190,144,89,184,180,112,119,245,231,236,207,209,211,215,217,219,222,225,227,224,238,196,173,242,219,149,205,231,171,123,92,193,182,110,107,239,236,236,208,210,214,216,218,222,224,226,224,248,243,171,119,167,202,130,187,204,164,132,91,180,178,120,104,239,239,239,209,212,215,217,220,224,227,225,247,253,234,179,148,120,181,123,170,203,157,123,93,185,172,123,109,242,238,240,211,213,217,219,222,224,226,235,247,219,239,201,163,106,136,125,150,199,163,115,106,206,191,128,117,251,241,241,211,214,218,220,223,226,225,243,226,180,228,198,156,108,102,156,145,218,194,126,138,255,225,132,157,255,240,242,212,215,217,222,225,227,230,247,234,188,192,195,160,107,84,160,131,192,185,116,111,223,179,93,142,255,242,242,213,216,219,223,226,227,234,241,219,175,173,207,145,112,55,88,68,79,174,128,152,187,131,121,98,187,255,240,215,217,220,224,228,228,237,251,222,184,163,199,132,112,65,54,54,148,229,227,218,205,172,142,108,134,255,241,215,218,222,225,228,229,242,250,220,183,142,179,133,122,63,69,131,228,233,225,206,190,159,129,102,156,255,243,216,218,221,224,228,226,243,249,223,198,156,141,146,138,75,108,213,242,245,230,196,178,151,123,96,196,255,245,217,220,223,225,230,228,244,249,228,209,192,155,134,124,132,180,252,245,255,223,184,168,143,118,101,225,255,248,218,221,224,227,231,231,244,251,238,215,202,195,165,151,180,196,253,253,254,211,172,157,132,106,135,251,250,249,219,221,224,227,230,232,241,249,240,222,209,205,195,165,171,186,255,255,232,200,166,145,127,97,189,255,249,250,219,222,226,229,231,232,237,241,235,228,215,205,195,173,159,194,255,248,212,187,159,134,118,102,231,255,249,251,219,223,228,231,232,235,236,234,233,230,214,207,193,175,154,196,237,232,192,169,147,125,105,129,255,249,251,252,219,223,227,230,233,234,239,237,237,236,216,207,195,176,150,193,220,204,174,154,135,121,95,187,255,250,253,254,221,223,226,229,230,233,235,237,241,231,211,200,188,165,144,189,200,171,158,136,124,109,121,247,254,253,254,253,221,224,225,229,231,234,235,234,243,221,195,186,165,144,150,183,185,158,149,127,120,102,194,255,249,251,253,253,221,224,225,229,232,234,233,232,248,217,198,185,153,147,157,182,178,155,140,124,107,145,255,248,249,252,254,253
8,216,217,216,217,218,218,219,218,218,219,219,218,220,220,219,219,220,219,218,218,216,216,216,216,214,214,214,213,217,218,218,219,220,219,219,220,220,220,220,220,207,212,223,221,221,221,220,220,219,218,218,217,215,215,215,214,220,219,219,221,221,221,221,221,221,221,218,231,192,177,228,221,222,222,221,221,221,220,220,219,219,217,216,216,220,220,221,222,222,222,221,221,222,221,222,233,175,176,231,222,223,224,223,222,222,222,222,220,220,219,218,217,221,222,222,222,224,224,223,222,223,221,230,230,151,190,231,223,224,226,225,222,223,223,222,221,221,220,219,218,222,223,223,223,225,225,224,225,226,222,236,227,144,201,231,225,226,226,225,225,225,223,222,222,222,221,221,220,223,224,224,225,226,226,225,226,227,222,241,214,147,216,231,226,226,227,226,226,226,226,224,225,222,222,222,222,225,225,225,226,226,225,226,227,227,226,243,191,153,227,226,228,230,226,231,230,224,226,226,227,226,223,223,223,225,225,226,227,227,227,227,226,226,231,240,188,155,237,224,191,212,230,204,216,233,228,230,221,220,225,224,225,226,227,227,227,227,227,228,228,225,236,238,196,162,253,233,190,172,227,180,166,189,192,210,202,162,221,226,224,226,227,227,227,227,227,227,229,225,241,236,194,194,255,240,213,160,207,199,160,147,175,196,198,127,215,230,224,226,227,228,228,228,228,229,228,227,242,232,194,218,255,251,224,156,184,202,161,201,183,207,210,131,214,229,224,226,226,228,228,228,228,229,228,234,233,220,216,218,241,255,223,160,168,190,172,217,179,211,222,160,200,235,225,225,226,227,227,228,228,229,229,239,211,215,224,214,209,255,227,167,147,175,192,206,171,205,222,193,166,232,228,225,226,227,227,228,228,228,230,241,201,196,217,201,203,243,234,171,129,159,200,197,150,189,226,188,139,219,231,226,227,227,227,228,229,227,231,247,200,170,192,186,178,228,233,164,121,152,201,188,139,202,213,158,156,233,226,226,227,228,228,228,229,227,235,255,210,160,172,164,160,194,229,188,120,143,210,179,150,210,179,134,202,235,226,227,228,228,228,228,230,228,244,255,227,159,164,163,161,182,218,203,120,140,196,159,189,185,141,153,234,227,227,227,227,227,228,228,230,230,246,252,236,171,148,163,157,175,209,167,142,199,207,193,214,170,123,199,235,228,230,227,227,227,228,228,229,229,249,251,244,175,152,172,160,193,230,214,224,221,208,188,191,166,124,222,233,229,230,226,228,230,233,234,235,232,248,252,241,174,162,172,173,224,241,241,235,217,207,177,160,141,153,236,230,231,232,162,166,170,172,175,172,193,252,248,235,179,186,168,198,247,246,242,237,221,198,168,143,124,202,237,229,226,222,134,134,135,134,134,128,152,255,249,234,198,192,174,200,251,250,246,228,213,184,156,133,130,151,151,156,178,210,142,143,143,144,143,142,147,245,250,239,208,193,188,193,252,254,235,213,200,167,143,129,131,143,173,209,231,233,143,143,142,142,142,143,137,233,249,233,206,194,190,194,255,243,223,199,179,151,129,146,194,224,241,238,239,233,143,142,141,142,144,144,141,235,239,219,203,194,185,209,247,225,210,178,159,140,118,223,255,222,214,217,221,231,141,141,141,142,142,140,154,242,230,213,201,196,192,216,222,213,193,162,155,127,151,226,239,241,221,205,211,212,141,141,141,141,144,135,166,248,222,211,204,199,198,212,212,205,181,155,150,134,209,215,204,224,233,208,181,177
2,196,196,196,197,197,197,196,196,196,194,193,193,192,192,191,191,191,188,187,188,187,185,185,183,182,181,180,179,197,198,198,197,198,197,197,197,196,196,196,195,194,193,192,192,192,190,190,190,188,186,185,184,184,182,180,179,198,198,198,198,198,197,198,198,197,196,196,196,196,195,193,194,194,193,192,191,190,188,186,185,184,184,182,179,199,199,200,200,199,199,200,199,198,198,198,196,194,191,192,190,189,193,193,193,192,189,187,186,184,184,183,180,201,201,201,201,200,200,200,200,199,199,197,204,199,187,188,185,171,174,178,181,183,186,189,188,185,184,184,182,202,203,202,202,202,201,201,201,201,199,207,224,218,213,214,213,198,177,156,145,145,172,181,184,187,185,184,183,202,203,202,202,202,202,202,202,202,194,197,207,202,195,198,204,200,196,178,148,151,173,151,159,192,185,185,184,203,203,204,204,203,203,204,200,205,214,205,209,212,201,188,178,160,168,183,178,192,161,130,172,192,186,185,185,204,205,205,204,204,204,203,205,225,216,209,207,210,207,199,194,170,173,177,160,165,142,157,194,189,189,187,185,205,206,206,206,206,205,203,223,213,179,168,179,188,180,179,205,177,167,178,135,151,168,190,193,190,188,188,187,206,206,206,207,206,205,219,221,189,190,202,205,205,191,189,197,154,136,151,161,196,196,195,196,194,190,188,189,206,206,207,207,207,209,226,206,205,221,223,203,182,172,159,155,165,190,192,198,198,199,191,175,168,184,192,188,207,206,207,208,207,214,216,215,215,202,182,164,139,129,111,148,209,201,202,198,200,174,138,125,124,133,183,191,207,208,208,207,207,215,219,224,198,164,141,123,117,113,105,114,202,201,199,204,168,121,127,134,138,120,169,194,207,208,208,206,205,220,229,207,174,142,121,112,112,109,111,100,145,211,208,185,125,130,139,144,137,143,186,191,207,208,209,205,203,233,224,184,147,130,118,109,111,111,111,111,106,148,192,148,122,144,144,135,155,185,192,190,208,208,210,204,210,237,206,165,139,132,114,108,113,111,111,113,116,102,108,129,131,141,134,153,195,194,191,191,209,209,210,203,211,223,188,155,139,125,108,111,114,118,119,121,125,122,108,130,136,133,136,188,198,194,193,191,208,209,209,203,209,216,184,153,133,119,109,112,119,124,126,131,133,136,122,131,138,131,158,202,196,196,194,192,206,207,209,198,210,217,183,154,132,123,110,113,122,131,135,138,142,145,134,128,139,130,180,201,196,196,194,191,207,208,211,192,211,212,180,156,138,128,116,114,125,137,145,147,150,149,141,130,133,165,197,196,195,193,190,190,208,208,213,194,210,207,177,157,140,133,125,115,128,142,147,149,151,147,136,135,174,199,198,197,194,194,209,222,208,208,211,194,206,205,180,159,144,138,130,117,128,142,146,147,146,144,130,163,205,198,198,196,210,213,237,239,207,208,211,194,204,201,176,158,149,141,131,119,131,138,140,141,139,132,148,195,200,199,195,229,254,228,218,241,210,211,214,198,201,199,173,159,147,139,132,124,134,133,135,136,131,150,195,205,204,196,221,251,241,251,221,219,187,187,191,181,200,197,173,158,143,138,134,131,134,133,131,134,152,185,192,190,182,216,246,248,238,232,246,209,131,133,130,142,210,193,170,151,142,139,138,133,128,133,136,126,128,128,130,119,179,252,245,248,234,221,237,235,132,135,128,166,210,188,169,148,141,140,137,134,128,133,132,126,126,128,119,158,252,245,245,250,228,212,233,234
21,51,58,67,83,99,108,116,120,124,128,129,133,136,140,144,145,147,149,151,152,153,153,154,154,155,155,155,155,52,60,70,86,101,111,116,120,125,129,131,135,138,141,138,148,149,152,152,153,155,157,157,157,157,157,157,157,55,62,70,89,103,112,119,123,127,130,133,135,149,154,77,139,156,153,155,155,158,159,158,158,159,159,159,158,56,65,73,91,105,112,120,125,129,132,136,135,160,155,70,132,161,154,156,159,160,160,159,159,161,161,161,161,56,65,75,94,106,114,121,126,132,135,139,137,161,154,78,128,161,157,159,159,163,164,163,166,165,163,162,162,57,67,77,95,106,117,122,127,132,136,139,138,164,162,84,126,164,158,161,160,165,167,160,149,166,165,165,165,59,69,80,98,108,118,124,129,134,136,140,140,165,162,89,118,168,160,164,164,165,166,133,78,148,172,167,168,61,70,82,101,110,119,125,130,135,136,141,141,166,160,92,104,169,160,166,164,169,155,105,84,167,170,168,169,63,70,83,102,111,119,126,133,136,137,143,142,173,163,92,102,171,160,166,170,168,132,79,142,179,170,170,170,64,72,87,104,113,121,128,134,137,138,143,144,182,168,101,108,171,162,167,166,146,100,107,179,171,172,171,171,64,73,89,105,114,123,129,134,136,139,155,129,163,149,96,103,172,163,171,161,122,79,161,177,172,174,174,173,66,74,91,106,115,123,130,136,137,148,152,102,103,103,79,105,172,165,170,153,87,120,183,172,175,175,174,174,68,75,92,106,115,125,131,134,149,169,114,99,68,64,67,107,152,153,154,109,82,173,175,176,177,176,175,175,68,75,94,107,116,124,132,135,176,184,153,126,74,46,65,95,128,129,113,66,140,182,173,176,176,176,176,175,68,77,96,109,117,125,130,146,182,192,196,124,76,49,58,82,101,108,72,94,181,175,177,178,178,178,178,178,69,78,97,108,118,126,130,153,163,152,161,108,72,58,56,73,85,86,65,161,181,177,177,178,178,178,179,178,70,79,98,109,117,127,130,175,161,95,118,127,84,63,57,62,72,55,101,187,175,178,179,180,179,179,179,178,71,80,100,110,119,126,137,176,123,88,100,141,97,68,59,55,63,51,131,186,177,179,179,179,179,180,181,180,71,82,102,109,120,122,152,174,132,127,120,162,115,93,69,55,58,51,140,186,179,181,181,180,180,181,181,179,71,84,100,109,122,122,164,178,156,119,165,194,121,110,75,53,57,55,156,183,180,181,183,183,183,182,181,180,72,85,103,110,123,123,174,192,148,128,204,168,116,105,75,54,53,61,172,183,181,181,182,183,183,183,182,182,73,86,103,111,122,123,183,181,135,148,189,147,112,94,83,60,47,85,186,180,181,181,182,183,183,184,183,183,72,86,102,111,124,125,174,159,148,147,186,143,132,91,70,62,45,123,188,179,182,182,183,184,185,184,183,183,71,87,104,114,125,128,157,166,169,145,189,133,125,95,62,59,48,150,186,179,182,182,183,184,185,185,183,183,72,90,104,114,124,129,148,190,158,140,175,117,101,75,58,53,59,167,183,180,183,184,185,185,186,185,184,184,70,90,104,113,122,130,144,179,153,131,148,109,84,70,60,44,76,180,179,183,184,185,186,186,186,186,185,185,68,88,100,111,121,131,138,158,140,134,137,118,100,80,62,38,90,184,176,179,182,183,184,184,185,185,185,184,69,88,99,111,121,131,136,149,146,141,137,131,116,81,60,33,98,184,174,178,181,182,183,183,184,185,185,184
12,210,212,213,214,215,215,217,218,217,218,218,219,219,219,219,220,220,219,220,220,218,219,219,219,217,218,218,216,212,213,215,217,216,217,219,219,218,220,219,220,221,220,220,221,221,221,221,221,220,219,219,220,219,219,219,219,212,213,215,218,218,219,221,222,221,221,222,223,222,222,222,223,223,223,224,223,221,222,221,221,221,221,221,220,214,215,216,218,219,220,223,223,221,222,223,223,223,222,224,225,225,226,224,223,223,224,224,223,223,223,222,222,217,218,219,220,220,220,223,225,223,223,224,226,223,234,225,220,228,225,227,228,225,226,225,225,225,225,224,223,219,220,221,222,223,223,224,226,224,234,238,219,234,253,237,183,197,239,228,210,228,226,227,227,227,226,227,225,219,221,222,223,225,226,227,222,241,255,255,202,220,255,243,164,137,241,230,166,190,233,226,229,228,228,228,227,220,221,224,226,226,226,228,219,251,255,255,201,204,255,241,174,126,237,220,164,132,230,231,230,229,229,230,229,221,223,226,227,227,229,228,224,255,255,255,200,200,255,236,190,159,242,200,147,111,213,238,231,232,230,230,229,222,225,226,227,229,225,244,255,224,239,255,233,176,255,247,190,182,243,211,141,102,201,241,232,233,232,232,232,223,226,227,228,228,230,255,255,198,184,231,218,149,251,245,151,187,252,193,130,99,194,244,233,235,234,233,232,225,227,230,231,225,255,255,255,225,157,200,162,106,162,168,118,196,207,136,104,98,191,247,234,237,235,235,234,227,230,231,232,228,255,255,255,234,178,161,157,93,85,106,199,227,199,147,149,130,195,249,236,237,237,235,234,229,231,234,232,234,255,248,255,240,206,142,118,129,107,198,255,255,241,202,201,160,197,249,237,238,237,237,236,229,233,234,231,242,255,255,240,241,209,157,116,118,183,255,255,255,240,205,190,149,176,251,239,240,238,238,237,232,234,235,230,255,255,255,214,235,209,171,125,112,255,255,255,255,242,211,175,135,177,254,241,242,239,238,240,233,235,238,230,255,255,255,245,214,208,222,158,156,255,255,255,255,237,197,170,129,180,254,241,244,242,241,242,234,236,240,233,255,255,255,250,211,185,211,201,238,255,255,255,255,231,195,166,133,157,252,242,245,244,242,243,235,236,240,234,255,255,255,255,240,222,201,251,255,255,255,255,255,225,200,159,130,148,254,245,244,244,243,243,236,237,240,236,255,255,255,255,255,251,232,252,255,255,255,255,253,228,194,156,117,174,255,245,246,245,246,244,236,238,242,237,255,255,255,255,255,254,239,245,253,255,255,250,242,229,180,147,113,223,252,246,248,247,248,246,237,240,242,241,249,255,255,255,255,247,236,245,246,255,254,238,236,216,168,123,147,255,245,248,248,248,249,246,237,239,242,243,242,255,255,255,255,239,227,240,241,255,244,233,225,193,146,107,216,255,249,250,250,249,249,248,239,242,246,250,246,255,255,255,255,239,234,244,251,255,254,235,211,170,112,150,255,250,251,250,251,250,250,249,237,231,225,218,202,214,209,179,175,172,170,177,172,180,165,154,148,130,100,235,255,253,254,253,253,252,253,251,172,166,156,146,125,113,109,101,92,84,76,73,57,55,56,54,53,58,63,121,197,254,255,252,252,252,252,252,146,147,149,140,126,117,114,104,96,88,83,73,62,61,60,57,53,49,46,36,41,231,255,251,252,251,250,250,164,146,149,138,126,116,109,102,95,84,78,70,61,58,59,56,50,46,50,34,109,255,249,253,251,251,250,250
24,120,122,123,125,126,129,130,130,130,132,130,131,130,131,129,129,129,129,128,127,127,126,125,123,123,123,122,122,120,122,125,127,128,129,131,132,131,133,131,132,131,132,130,131,131,130,130,129,128,128,127,127,125,122,122,121,121,123,125,126,132,131,131,133,133,133,134,133,133,133,133,133,132,130,130,130,130,129,128,128,126,123,122,122,123,125,126,131,112,128,133,134,135,135,135,134,134,134,134,134,133,131,131,131,130,130,128,128,128,126,124,124,125,126,129,144,73,117,139,135,135,135,136,136,135,134,134,134,134,134,132,133,131,130,130,129,128,126,126,127,126,127,135,133,64,119,138,136,137,136,138,139,136,134,136,135,135,134,133,134,132,131,130,129,128,127,127,128,126,126,137,129,64,117,140,136,138,137,134,129,141,137,136,137,136,135,134,135,135,136,134,130,130,129,128,128,128,127,138,134,67,119,143,138,140,143,139,95,99,140,139,137,138,136,136,125,113,99,124,134,130,129,129,128,128,129,139,132,70,107,139,136,109,136,148,124,67,76,141,140,138,137,117,84,69,54,96,139,131,130,130,130,129,129,138,128,127,125,125,152,91,100,154,129,70,43,97,147,139,131,87,54,63,103,128,136,134,133,132,131,130,131,137,147,162,142,144,157,109,86,151,122,61,38,56,134,146,117,65,58,131,142,138,136,134,133,134,132,131,133,138,139,168,144,150,159,111,58,113,86,54,27,55,126,131,87,54,112,145,135,136,136,135,134,134,133,132,134,136,145,171,145,159,165,108,55,15,78,111,97,118,127,95,59,77,146,139,139,138,138,136,136,135,134,132,135,136,166,164,129,133,147,87,42,57,148,147,134,121,114,79,54,127,146,141,141,141,139,137,136,135,135,133,135,140,154,140,116,81,82,62,107,167,158,140,122,104,92,69,81,150,142,142,142,141,140,140,137,136,136,135,133,150,152,138,119,94,56,130,181,166,157,136,110,88,76,61,121,152,143,143,143,143,141,140,139,138,136,136,133,159,167,144,119,110,133,185,170,164,152,123,95,77,69,67,143,148,144,144,143,143,143,141,141,140,138,136,134,166,170,150,137,148,181,179,171,160,139,108,79,76,55,97,155,146,146,146,146,144,144,142,141,139,138,136,134,170,172,157,157,176,182,172,164,147,120,89,73,66,65,143,152,148,147,147,146,145,143,143,142,141,140,137,134,169,177,162,169,184,172,153,142,126,99,79,71,59,128,156,149,149,149,147,146,145,144,143,143,142,141,138,136,167,183,165,158,164,157,139,122,108,82,73,56,120,158,150,149,149,149,147,148,147,146,144,143,142,142,139,137,160,175,157,155,163,161,143,124,103,78,49,77,156,152,153,152,150,149,148,148,149,147,146,144,144,142,138,139,149,155,143,157,162,158,142,119,98,67,34,115,159,153,153,153,152,150,149,148,148,148,147,147,146,143,137,141,142,150,157,163,156,150,142,116,91,54,45,139,158,153,154,154,154,152,150,149,149,149,148,146,146,144,136,139,140,160,168,154,152,146,134,112,90,52,55,150,154,153,153,153,152,150,149,149,149,148,148,146,145,144,135,139,138,164,165,144,156,136,126,111,87,58,48,144,154,152,152,153,150,149,150,150,149,147,146,146,144,143,136,140,138,170,166,143,158,132,129,111,83,59,43,134,158,153,154,154,151,150,149,149,149,147,146,146,144,143,136,139,139,171,169,148,158,140,126,109,82,61,40,125,159,153,155,152,152,151,149,149,148,148,147,146,145,144
19,202,203,206,206,205,205,205,204,204,204,204,203,203,202,201,202,200,200,199,198,198,197,197,195,195,193,192,191,204,204,205,205,205,205,205,205,205,205,205,204,203,203,202,202,202,201,199,198,198,197,197,195,196,196,193,191,205,206,205,207,208,208,207,210,209,205,206,206,205,204,203,203,203,202,201,200,199,198,198,198,196,194,193,193,205,207,209,209,208,209,201,188,194,211,205,207,206,204,204,203,203,202,202,200,200,199,199,198,196,195,194,193,207,208,209,210,205,224,218,189,155,187,213,206,208,205,206,205,204,203,202,201,201,201,199,198,196,197,196,194,209,209,209,211,207,216,241,214,176,134,200,211,207,207,205,205,205,204,203,203,201,201,200,199,198,198,196,194,210,211,210,212,211,209,237,224,189,129,152,218,208,206,205,206,206,204,203,203,202,202,202,200,199,198,196,195,212,212,211,212,212,206,230,222,181,137,124,209,210,208,208,206,206,206,203,202,203,202,202,201,200,198,197,195,213,212,213,214,211,229,227,205,180,137,119,204,214,213,210,209,207,208,205,203,205,203,202,202,201,200,197,196,213,213,215,210,237,253,225,200,201,191,174,194,197,202,211,212,210,208,207,205,203,203,203,202,202,201,198,198,215,216,212,223,247,215,184,177,196,222,228,214,199,187,180,192,204,209,210,205,204,205,204,203,203,201,198,198,216,216,214,249,242,219,174,139,150,195,224,231,229,221,196,186,180,191,198,206,208,207,205,204,203,201,200,198,218,212,238,255,235,219,201,173,149,159,183,201,214,221,219,218,213,210,188,175,187,201,210,205,203,202,201,199,217,218,247,235,210,199,193,194,199,186,175,170,169,177,193,206,218,229,221,194,177,157,179,204,206,202,201,199,214,236,255,231,193,173,174,164,199,214,202,190,170,141,142,177,180,195,203,204,197,175,165,182,194,204,202,201,219,255,255,230,203,189,185,182,178,195,213,209,191,160,144,181,212,198,190,182,182,184,191,182,167,208,202,202,235,255,246,222,205,203,206,208,202,164,158,190,191,178,167,146,210,218,215,210,201,191,183,178,194,207,203,202,249,253,234,207,185,196,224,217,220,176,142,166,154,168,172,157,212,215,214,214,215,214,209,208,208,204,204,203,250,254,231,194,173,150,187,216,233,204,184,165,154,142,144,196,218,215,215,213,211,210,210,209,206,204,203,202,255,255,221,196,186,182,172,176,165,211,215,177,172,147,190,221,215,215,215,214,212,211,210,208,208,206,204,202,255,246,218,201,195,194,193,181,166,186,195,191,158,174,223,216,216,216,216,214,213,211,210,209,209,208,206,203,252,239,224,208,204,201,192,178,168,166,157,147,182,217,220,218,218,216,216,215,213,212,211,210,209,208,206,204,250,232,216,203,198,204,196,182,167,172,155,178,225,221,220,218,219,217,216,215,213,213,212,212,210,209,207,204,244,230,212,182,164,165,170,172,168,165,175,221,222,221,220,219,216,216,215,215,214,213,212,211,210,209,207,206,231,214,189,156,139,123,169,192,182,201,224,226,226,225,225,223,220,220,220,220,220,216,211,209,212,215,215,207,212,185,157,149,138,130,196,210,206,206,202,202,201,200,199,199,199,199,201,194,189,199,214,221,220,208,203,195,180,161,149,146,141,139,139,136,134,132,132,134,132,131,130,131,131,130,124,143,182,213,216,206,200,207,210,178,158,149,145,143,144,142,139,139,136,134,135,135,133,132,131,132,131,127,174,225,218,208,198,202,188,208,233,185
10,84,86,87,91,97,101,107,121,130,138,145,148,151,156,160,163,166,170,171,173,176,176,177,179,180,178,180,182,85,87,89,92,97,101,109,122,133,140,148,151,153,158,160,163,167,169,170,176,176,177,178,180,181,180,181,181,84,88,90,94,98,102,110,125,135,143,149,152,153,159,162,166,166,178,178,154,179,179,179,182,182,182,182,182,83,88,91,95,100,103,113,127,137,145,151,153,157,161,165,170,163,205,192,106,168,185,182,184,185,184,184,184,84,89,91,96,101,104,115,130,139,147,153,155,159,163,167,171,168,193,201,124,133,193,184,186,187,187,187,187,86,90,93,96,101,106,117,131,140,150,154,158,162,166,170,174,174,185,209,141,106,183,190,191,191,191,191,191,87,91,94,98,102,106,119,133,143,152,157,159,163,169,172,176,181,180,209,168,112,162,198,191,193,193,193,192,87,92,95,99,103,106,120,135,144,153,158,160,165,171,175,179,182,182,206,190,124,136,203,194,196,196,196,195,88,92,96,101,103,108,123,137,146,155,160,161,166,171,177,178,200,188,126,167,140,113,197,200,200,199,199,199,90,92,96,100,103,110,125,139,148,157,161,164,170,175,180,180,215,157,97,134,197,114,183,207,202,203,203,202,90,94,97,101,104,111,127,140,150,159,162,165,172,176,184,183,210,148,112,101,216,124,160,212,204,207,206,205,91,94,97,102,105,113,128,141,152,161,163,169,172,184,175,195,232,171,159,108,155,142,135,216,207,209,208,208,92,95,97,103,106,114,131,143,155,163,165,163,190,237,192,215,199,193,185,130,100,138,119,211,209,210,211,211,93,95,99,103,107,115,131,144,156,163,170,179,193,255,225,226,159,148,191,155,101,108,103,193,216,211,212,212,94,96,100,103,106,115,133,145,159,155,223,249,178,188,232,236,180,97,171,188,133,97,84,171,221,211,214,213,95,96,99,103,107,117,134,148,161,159,233,255,200,110,172,240,172,100,112,191,157,114,78,150,224,214,217,217,94,96,100,104,108,119,136,149,161,169,198,173,210,189,126,169,119,75,78,161,168,133,91,134,225,215,217,218,95,96,100,104,109,120,137,150,163,169,211,155,178,207,109,127,141,66,119,170,168,154,110,119,223,217,218,219,95,97,100,104,109,121,138,152,166,165,224,207,146,126,111,148,151,142,213,199,172,163,124,114,215,221,220,220,96,98,101,105,109,123,140,155,167,167,225,203,172,153,139,150,161,234,235,189,176,156,125,120,214,223,220,221,95,99,102,105,109,125,140,155,170,167,248,240,204,163,159,173,255,255,213,172,156,144,126,130,220,223,222,223,96,98,103,105,109,126,141,155,170,167,248,254,209,175,188,211,255,244,204,174,142,131,121,147,229,223,224,225,97,98,102,106,109,125,143,157,172,166,255,255,206,206,198,223,255,232,193,168,141,124,115,170,232,223,225,226,97,99,102,105,110,127,144,159,172,168,246,250,215,224,204,251,255,215,178,153,135,126,116,185,233,224,226,226,97,99,103,105,111,128,144,159,173,168,227,247,240,232,227,255,235,191,163,140,128,126,121,208,231,226,227,227,97,99,104,105,111,128,144,159,174,169,205,255,255,231,212,228,212,174,148,133,128,116,140,229,227,228,229,229,96,100,104,104,112,130,147,161,173,176,183,250,241,218,195,198,194,178,154,140,130,106,167,235,228,229,230,233,96,99,104,106,114,132,147,163,172,179,176,219,218,201,191,195,191,194,169,138,125,100,186,236,228,230,232,234
19,150,153,157,161,165,169,172,174,177,179,181,183,184,185,185,186,187,186,185,185,185,184,183,183,182,182,181,181,151,154,158,162,166,170,173,175,178,180,182,184,185,185,186,187,188,187,186,186,186,186,185,185,184,183,183,182,152,155,160,165,168,172,174,177,179,181,184,185,186,187,188,188,188,188,188,188,187,187,187,186,186,186,185,184,152,156,162,166,170,173,175,178,180,182,184,186,187,189,189,189,189,189,190,189,189,188,188,187,187,187,187,185,154,157,162,167,171,174,177,179,181,183,185,187,189,187,184,188,190,191,192,191,190,190,189,188,188,188,187,186,154,158,163,168,172,176,178,180,182,185,186,188,193,181,153,167,189,192,193,193,191,191,190,190,189,188,187,187,155,159,164,169,174,177,180,182,184,186,188,190,200,183,132,132,182,194,194,193,192,192,192,191,190,189,188,188,157,160,165,171,175,178,181,183,186,187,189,192,205,187,133,112,171,195,195,193,193,194,194,192,191,191,190,189,158,161,167,172,176,179,181,183,182,182,185,188,195,176,132,107,155,187,189,188,187,189,186,188,190,190,191,190,158,162,167,172,177,180,186,182,161,152,161,168,166,154,136,123,138,157,164,160,158,161,156,176,188,179,189,192,159,163,168,173,178,183,192,179,149,135,138,146,152,150,143,134,131,142,154,148,145,147,148,177,182,162,187,193,160,164,170,175,179,190,197,183,149,115,107,113,128,133,132,122,119,125,133,133,131,131,135,151,158,165,190,193,161,165,171,176,184,199,205,186,145,101,87,93,98,99,97,98,107,120,129,132,134,139,145,158,174,188,194,194,161,166,171,180,196,207,207,180,139,102,87,92,96,91,78,101,153,178,183,184,186,190,192,194,196,196,195,195,162,167,174,191,208,213,212,187,143,102,84,85,98,99,85,93,150,196,202,202,202,202,201,200,200,198,197,196,163,168,182,204,213,216,217,195,145,99,81,79,90,100,92,83,102,178,204,204,204,204,203,201,201,200,199,198,164,172,196,211,215,219,217,195,147,101,82,83,86,85,82,81,89,167,205,205,205,205,204,203,202,201,200,199,166,185,209,214,216,217,214,196,155,106,81,78,89,88,74,68,103,183,206,206,206,206,205,205,203,202,201,200,177,202,213,214,215,214,213,201,163,111,83,74,83,89,81,73,138,201,207,207,207,207,206,205,204,203,202,201,201,212,214,213,210,209,209,193,153,113,92,83,80,78,79,88,167,207,208,207,207,208,207,206,205,204,203,202,214,211,211,207,201,198,193,173,141,119,106,97,88,75,69,109,188,209,209,209,208,208,208,207,206,205,203,202,210,207,205,200,195,191,181,166,146,126,110,102,95,81,77,149,206,210,209,210,210,209,209,208,207,206,205,204,203,201,200,195,193,189,178,164,156,134,104,94,95,87,93,172,211,211,210,210,210,210,209,208,207,207,206,206,199,199,196,189,187,183,170,153,144,120,82,76,89,89,128,196,211,211,210,210,210,210,210,209,208,207,206,205,199,198,188,177,173,167,150,128,112,90,65,71,90,111,173,208,210,210,209,209,209,209,209,209,208,207,206,205,196,193,177,158,150,144,124,101,91,92,90,102,129,169,202,209,210,210,210,210,209,209,209,208,208,207,206,206,184,181,167,141,120,111,98,83,98,151,170,179,194,205,209,210,210,211,211,211,210,209,209,209,208,208,207,206,168,171,161,128,93,74,66,65,123,191,204,206,208,210,210,211,212,212,212,212,211,210,210,209,209,208,207,206
18,184,186,188,191,193,195,195,195,198,198,198,199,199,197,196,197,196,195,194,193,194,193,192,192,189,189,188,186,186,189,191,192,194,197,198,198,201,200,201,203,203,201,199,200,198,197,196,196,198,196,194,192,193,192,191,190,191,192,194,195,198,199,200,201,200,201,202,203,202,202,201,201,201,200,198,198,198,196,197,195,196,194,192,191,192,194,197,199,201,201,203,202,203,203,202,203,203,203,203,203,202,203,201,201,199,200,202,196,196,194,194,193,193,194,198,199,202,203,203,203,203,204,203,205,205,205,206,205,204,204,204,202,201,198,193,200,198,198,196,195,195,195,199,202,202,203,205,205,206,207,206,207,208,207,208,207,205,203,204,199,229,178,132,209,199,200,199,197,197,201,201,203,203,204,208,209,208,209,209,209,208,209,208,208,212,212,205,209,251,180,79,195,204,201,200,199,199,202,203,204,206,208,210,212,211,212,210,211,212,210,215,191,152,184,170,159,249,208,92,135,218,200,203,202,200,202,205,207,208,211,212,213,212,214,213,214,213,213,236,216,151,119,132,158,249,222,136,66,178,214,200,204,201,204,207,210,210,212,212,214,216,217,217,214,219,201,149,185,199,142,98,134,221,220,157,113,93,187,211,203,203,205,208,211,211,213,214,217,218,217,215,230,227,196,145,81,169,161,102,71,117,187,172,139,100,91,215,205,204,208,209,212,213,215,217,218,220,214,241,252,248,204,168,105,101,161,98,57,47,129,200,142,116,67,201,212,207,210,210,213,216,217,217,219,218,223,250,226,255,210,172,121,63,98,80,52,31,159,212,170,122,75,204,211,209,210,213,215,219,219,219,223,217,254,252,198,229,197,181,120,64,65,69,53,32,128,210,188,127,69,200,214,210,211,214,217,219,219,222,220,239,251,229,204,216,160,134,95,60,88,60,33,34,131,199,192,132,67,201,216,211,214,217,218,220,222,220,226,255,236,190,159,198,107,89,76,79,112,56,81,109,150,200,175,121,64,200,221,212,216,217,218,221,223,222,229,255,252,217,158,130,125,115,30,78,121,157,193,197,148,154,147,118,58,187,222,213,216,218,221,224,227,223,240,255,255,232,174,117,135,105,1,141,227,228,198,179,159,106,125,120,59,171,228,215,218,220,222,225,229,223,255,255,252,207,163,146,132,83,107,253,238,221,193,150,151,114,101,111,53,187,229,218,220,222,223,226,228,228,255,255,240,190,177,144,104,111,227,242,229,208,184,151,135,120,90,77,84,224,219,218,219,221,225,227,226,233,255,255,234,193,186,143,108,188,248,234,218,202,180,146,126,112,88,51,164,233,217,219,220,222,225,227,228,237,255,255,234,200,207,138,166,204,236,228,206,196,175,130,117,100,70,68,223,224,223,221,221,223,227,229,228,238,255,254,233,218,198,146,149,203,209,216,192,183,154,120,103,92,45,140,240,222,225,221,222,224,227,230,228,237,255,252,238,227,177,134,131,186,195,192,184,168,139,112,92,66,63,221,228,226,226,221,223,225,228,230,229,242,253,247,243,207,147,111,150,168,187,181,167,152,120,94,75,35,165,240,225,229,228,223,225,227,226,230,230,248,245,231,222,182,143,138,162,170,181,176,154,134,105,82,39,115,239,225,228,230,228,224,226,229,230,231,230,255,255,254,235,220,197,174,151,168,181,163,132,110,93,49,88,234,230,229,230,230,228,221,228,221,211,232,236,255,255,255,240,216,193,172,139,153,173,143,114,99,68,63,215,237,232,230,230,230,230
24,103,110,117,122,126,130,135,139,142,145,149,153,155,156,158,160,160,161,161,162,163,164,164,164,164,164,163,162,106,112,119,124,129,133,136,141,145,148,151,154,157,160,161,162,162,163,163,164,165,166,167,169,167,167,166,166,108,115,121,129,131,136,138,142,147,151,154,156,159,162,163,163,164,166,168,167,169,169,170,171,169,169,169,169,109,117,125,115,134,138,141,145,148,152,156,159,161,164,166,167,168,169,170,170,171,170,171,172,171,171,172,172,110,122,131,63,106,145,141,147,151,155,157,161,163,166,169,170,170,170,171,172,173,171,172,173,173,173,173,173,112,122,122,57,55,150,143,150,153,156,161,162,163,167,171,171,170,172,173,176,176,173,175,176,176,176,176,176,114,123,131,79,30,132,149,149,156,159,161,166,170,172,172,177,177,173,176,177,177,177,177,178,178,178,177,177,115,123,135,99,26,99,158,152,156,160,167,164,149,164,179,150,162,181,175,178,180,178,177,178,179,179,177,180,118,126,136,119,54,54,157,151,111,96,152,161,111,70,124,133,83,150,185,178,179,179,180,180,180,170,147,103,119,127,133,143,88,28,116,145,118,102,107,173,136,67,98,150,79,67,190,180,180,181,181,181,171,148,95,70,121,127,133,144,109,61,67,130,166,142,99,158,152,89,121,151,78,44,172,187,184,184,181,175,156,105,72,172,121,129,135,140,138,100,65,54,164,156,95,133,159,89,115,153,80,25,147,193,183,185,176,171,135,58,134,197,123,130,137,141,150,110,78,79,114,170,115,106,166,97,97,161,101,19,131,197,186,172,174,165,94,53,185,188,125,132,138,144,150,130,143,124,90,139,121,61,141,91,68,158,121,24,87,199,157,153,170,129,49,138,196,186,125,133,139,144,146,160,158,92,56,82,110,33,103,90,55,198,158,18,19,99,123,150,136,62,99,201,187,191,124,132,139,145,148,157,144,100,73,71,95,63,88,103,53,96,74,23,75,112,126,121,80,59,184,192,191,192,125,133,138,143,148,151,172,149,97,79,75,91,59,132,85,60,132,144,152,134,96,81,39,130,201,187,191,191,126,134,139,143,148,152,172,162,130,105,79,66,73,121,147,184,181,164,146,121,79,51,64,188,189,189,191,191,126,133,140,144,149,153,171,173,159,123,83,57,104,155,186,176,167,149,130,102,66,44,155,196,189,193,193,193,126,133,139,143,151,153,171,181,170,122,83,78,125,168,182,174,158,133,107,86,42,113,200,189,193,193,194,194,125,132,139,145,150,153,163,175,179,133,110,117,120,167,177,172,149,124,95,62,55,186,192,190,192,194,194,194,121,129,136,143,149,155,159,168,173,143,119,128,102,146,164,156,137,118,82,43,136,206,193,195,194,196,197,196,68,72,73,76,80,87,87,130,167,141,122,118,81,110,140,123,112,92,60,68,164,165,170,174,177,181,187,188,57,57,59,61,60,61,55,75,170,148,112,99,68,101,134,110,86,67,50,62,68,69,73,76,77,82,83,81,62,63,68,68,69,69,72,66,155,137,98,86,80,104,130,100,70,48,49,72,72,73,73,75,69,66,75,92,61,61,63,64,64,66,68,64,160,132,111,105,104,106,115,88,54,38,57,75,74,74,76,80,101,147,158,142,62,63,67,66,66,68,66,71,176,151,135,129,112,96,105,73,47,36,65,76,75,77,69,100,179,169,188,156,64,65,66,67,67,68,66,76,168,151,146,134,96,85,96,62,47,33,65,76,74,75,74,163,204,161,145,186
7,139,142,144,146,149,151,153,154,156,158,159,160,162,163,164,164,165,165,166,167,167,166,167,167,167,167,166,165,140,143,145,147,149,152,153,155,157,159,160,161,163,163,164,165,165,166,167,167,167,168,168,168,168,168,167,167,142,144,146,148,151,152,154,156,158,159,160,162,163,164,164,165,166,167,167,168,168,168,168,168,168,168,167,167,143,145,147,150,153,154,156,158,159,160,162,162,163,166,166,165,166,167,168,169,169,169,169,169,169,169,169,167,144,146,149,152,154,156,158,160,160,161,164,165,165,166,166,167,168,168,169,170,170,170,170,170,170,170,170,168,145,147,150,153,155,157,159,161,163,165,167,168,167,167,168,169,169,170,170,170,170,170,170,170,170,171,171,169,145,147,150,153,155,158,159,162,164,166,168,168,168,170,170,165,161,161,165,165,162,157,156,171,149,165,173,170,146,149,151,154,156,159,161,163,165,166,168,169,169,165,157,150,146,136,139,144,146,140,136,148,122,155,166,164,150,151,153,155,158,160,161,163,162,160,163,165,168,161,153,151,145,129,132,133,138,134,130,128,121,142,148,133,150,152,154,157,159,161,164,165,147,142,149,156,160,153,147,141,129,124,121,115,118,119,115,113,111,113,117,138,150,152,155,158,159,162,174,164,136,136,140,135,125,116,115,115,108,104,108,116,118,118,121,127,133,142,154,172,151,152,156,159,161,176,180,165,149,131,122,109,96,86,93,113,121,143,165,172,172,172,173,177,177,179,178,178,152,154,157,159,175,185,177,174,161,125,114,114,116,114,111,120,141,172,181,180,180,181,181,179,179,178,180,179,153,155,157,170,186,180,177,170,152,128,118,109,112,117,112,98,91,119,179,181,182,182,181,180,181,180,180,181,153,155,167,181,182,176,169,156,144,132,119,96,90,103,108,104,96,97,174,183,182,183,183,182,182,181,182,182,152,163,181,182,172,162,156,149,142,133,119,96,82,83,85,86,90,100,177,185,184,184,184,183,183,182,183,182,162,179,180,174,165,156,152,150,147,141,125,102,94,95,83,68,70,99,180,186,184,184,184,184,183,183,183,182,179,177,169,167,163,155,152,147,144,139,127,111,103,101,95,86,79,88,158,185,185,185,186,185,185,185,184,182,174,170,166,162,156,152,145,140,141,136,119,104,97,94,96,93,85,62,81,157,188,186,187,187,187,187,185,183,170,167,160,158,154,149,139,138,140,124,103,87,72,63,79,89,86,65,76,139,189,187,187,187,187,187,185,185,166,163,155,151,145,142,144,139,122,103,88,65,56,52,52,81,88,83,121,175,188,188,188,188,188,188,187,187,163,159,151,142,144,145,140,123,105,92,78,65,67,65,62,80,96,154,185,190,189,188,188,188,188,189,188,189,151,148,138,140,142,135,120,105,94,83,89,104,117,121,90,105,160,188,189,190,190,190,190,189,189,189,189,188,130,129,126,126,122,112,102,92,87,105,156,180,185,187,167,172,190,190,191,192,192,191,191,190,189,189,188,188,115,108,104,102,99,93,93,102,135,171,185,186,187,188,190,191,191,192,192,192,192,192,192,190,189,189,189,189,109,95,87,82,80,97,142,168,181,183,184,187,188,189,189,192,192,193,193,193,193,193,192,190,191,190,190,190,107,89,75,75,121,160,180,181,183,183,186,189,189,190,191,192,193,194,193,193,193,194,193,193,193,191,191,191,108,90,74,83,165,178,179,181,184,184,187,190,190,191,193,193,194,195,195,194,194,194,194,194,194,193,192,192
3,117,126,133,137,140,144,148,152,154,157,157,159,160,161,161,162,161,162,162,162,162,162,161,161,160,159,158,157,122,130,136,140,145,149,153,157,159,161,163,164,165,166,166,169,143,157,167,166,167,166,166,165,164,163,161,161,126,134,140,144,149,154,157,161,164,166,168,169,170,170,171,172,122,119,172,172,172,172,171,170,169,167,166,165,130,138,145,149,153,158,162,166,169,171,172,173,175,176,176,173,116,88,172,176,176,176,175,175,173,171,170,169,133,142,149,152,157,162,166,170,173,175,177,178,179,180,180,180,117,78,162,180,180,180,179,178,177,175,174,173,137,145,152,156,160,165,170,174,176,179,180,181,183,184,185,186,123,77,149,184,183,183,182,181,180,178,178,177,140,148,155,159,163,168,173,178,180,182,183,185,187,187,187,195,140,82,132,189,188,187,187,185,183,182,181,180,143,151,157,162,166,171,176,180,183,186,187,188,189,191,180,176,129,78,117,191,191,191,190,189,187,186,185,184,146,154,161,165,169,174,179,183,185,188,190,192,191,211,188,140,97,88,108,194,194,193,193,192,191,190,188,187,149,157,163,167,173,178,182,186,187,191,193,184,164,197,208,160,92,133,118,189,197,196,196,196,195,194,191,190,151,159,164,169,175,180,184,188,191,192,202,196,169,156,216,175,135,170,100,158,199,200,199,198,197,196,194,193,154,161,167,171,178,182,186,190,193,176,172,205,192,154,191,170,144,155,91,102,197,202,201,200,200,198,197,196,155,163,169,173,179,183,188,192,202,193,172,160,196,163,162,165,127,156,111,87,153,204,202,202,201,201,200,199,157,165,171,175,181,185,191,195,195,201,189,144,150,169,135,165,129,140,135,106,107,205,204,203,203,202,201,200,159,166,172,177,183,187,193,196,188,152,164,119,97,146,108,162,154,108,138,113,102,204,207,206,205,204,204,202,160,167,173,178,184,189,194,197,194,146,142,113,82,129,105,102,98,69,124,116,98,203,209,208,207,205,205,203,161,168,174,180,185,190,195,199,204,172,127,114,95,111,138,92,55,81,144,122,90,192,210,209,208,207,207,206,161,167,173,179,185,190,195,199,200,165,119,97,82,71,114,100,89,123,159,123,87,179,212,210,209,209,208,207,161,167,173,179,185,190,195,198,202,187,146,106,84,75,94,145,158,163,145,110,91,188,212,210,210,209,209,208,162,169,175,180,186,191,195,199,205,196,157,116,103,110,125,195,203,176,139,98,102,205,212,210,210,209,206,204,163,170,176,181,186,191,196,200,204,199,171,136,120,117,138,201,198,164,130,97,122,212,213,211,210,192,175,197,156,163,170,176,182,188,193,198,200,197,176,145,123,120,135,195,191,153,119,91,144,204,197,196,189,159,157,195,101,103,107,112,117,121,125,131,137,180,176,150,135,133,128,185,180,144,107,86,142,182,170,156,178,127,159,186,97,99,101,102,102,103,104,104,104,142,178,159,144,139,120,162,163,131,98,95,162,158,173,142,153,117,171,178,97,99,100,101,102,104,107,108,106,123,183,164,143,134,110,128,139,105,91,130,162,155,160,150,123,124,177,174,98,99,100,101,103,103,104,105,105,157,201,166,139,122,101,106,108,93,100,150,158,155,149,146,114,148,172,174,97,99,101,101,103,103,103,104,106,180,201,163,137,114,102,101,96,86,133,146,138,152,140,135,135,154,171,173,96,98,101,100,100,102,103,104,110,184,192,162,139,123,109,97,89,86,158,151,110,145,141,135,153,148,180,171
24,169,172,173,176,179,181,181,182,184,185,185,187,186,187,187,187,187,187,186,186,186,185,187,185,185,183,182,181,171,174,176,179,181,184,184,185,186,187,187,188,189,190,188,189,190,190,189,189,188,188,188,186,187,185,184,183,172,175,178,180,183,186,186,187,188,190,190,191,192,191,190,191,192,192,193,193,190,189,190,190,188,187,185,184,174,177,179,181,184,186,187,190,191,193,193,194,194,193,194,194,195,193,194,193,192,192,192,192,191,190,189,188,175,177,180,183,184,186,191,191,193,195,194,195,194,195,196,197,197,196,197,196,195,196,195,194,194,193,192,190,178,180,183,186,188,193,190,193,195,195,195,196,197,198,198,199,199,200,201,198,195,197,196,196,196,195,194,192,179,182,187,184,207,218,159,194,197,198,197,199,201,201,199,200,201,198,200,201,199,199,199,199,197,196,196,194,182,185,188,188,205,229,157,177,203,200,200,199,203,200,200,203,203,229,218,181,200,202,201,201,200,200,199,196,183,186,189,194,191,228,190,158,204,203,200,210,198,205,239,200,178,250,234,165,159,209,201,201,202,202,201,199,184,187,191,195,193,209,239,183,178,205,213,249,205,206,252,220,160,220,244,178,125,199,206,203,203,202,201,201,186,190,193,195,198,196,238,216,159,190,231,255,234,196,242,237,172,200,243,182,115,186,212,206,205,206,205,185,188,191,195,198,201,198,213,234,211,191,217,255,244,195,219,239,172,173,225,167,106,180,214,208,206,214,196,146,189,193,196,200,201,204,201,231,241,224,221,249,249,206,185,236,185,139,192,151,99,157,224,208,193,201,169,130,192,196,199,201,203,206,205,211,238,228,244,249,241,199,154,212,194,119,147,160,98,107,196,185,195,189,131,166,194,196,199,202,204,206,209,206,231,247,234,221,223,192,148,168,181,126,143,175,111,149,169,197,198,137,151,214,195,198,201,203,206,207,209,207,224,250,214,189,188,210,191,139,195,150,125,182,200,227,210,193,160,135,207,213,196,200,203,205,207,208,211,212,218,247,222,200,193,207,200,173,193,162,166,245,242,221,197,162,126,171,221,210,197,202,203,206,208,212,214,215,215,252,250,221,193,197,221,233,213,215,247,244,228,213,186,146,137,208,216,215,199,201,205,208,209,212,215,216,212,242,255,235,206,195,226,245,254,255,251,240,225,202,174,130,170,226,216,216,200,204,207,209,212,213,215,217,212,234,255,244,227,209,213,245,254,254,247,240,224,192,149,131,210,222,219,216,201,205,207,208,212,215,217,219,218,228,255,252,239,227,218,239,253,255,244,238,216,184,132,166,228,220,220,218,202,206,207,211,214,216,218,221,221,221,249,255,244,231,218,228,244,246,237,220,198,171,138,215,226,222,222,220,203,207,210,213,214,217,219,221,223,220,232,255,244,224,207,218,228,224,211,191,164,126,180,233,224,223,223,224,203,208,211,214,216,219,219,224,226,228,232,255,238,206,189,193,201,206,190,163,120,134,228,225,225,225,225,225,203,207,209,214,215,217,219,178,161,165,174,213,196,192,196,202,217,204,181,148,100,197,245,224,225,225,225,224,204,208,211,214,214,218,223,150,123,125,104,100,99,106,103,108,104,95,95,91,80,133,181,228,226,224,224,223,204,209,213,215,216,218,231,165,126,130,109,95,87,74,64,56,47,45,43,42,48,27,100,237,225,227,227,225,206,209,213,215,217,219,231,177,127,125,107,92,86,77,69,60,53,50,49,47,47,39,189,239,226,228,228,226
5,120,126,130,132,137,143,147,150,153,155,155,158,161,161,162,163,164,164,163,163,162,162,161,161,160,159,159,157,121,127,131,133,139,145,149,151,151,165,162,125,164,163,164,164,166,166,165,165,164,163,162,162,161,160,160,160,123,129,132,135,141,146,151,154,148,186,157,112,164,165,165,166,166,166,166,167,165,165,164,165,164,161,161,160,124,130,133,136,142,146,150,152,158,204,117,132,169,165,166,167,167,167,167,164,166,163,165,165,165,163,162,161,124,131,134,135,142,148,153,148,184,204,101,153,169,167,168,169,169,166,167,178,191,124,147,170,165,165,162,162,126,133,131,149,145,143,156,147,204,192,108,163,168,168,169,172,167,173,203,189,150,114,158,170,166,165,164,163,126,134,126,184,155,112,161,152,218,173,115,169,169,170,173,169,179,219,192,121,120,164,171,168,168,167,165,164,127,136,126,189,148,109,161,158,225,156,117,174,170,172,170,180,218,197,131,114,167,174,170,169,169,168,167,166,129,137,131,204,135,119,160,168,224,143,111,175,170,171,180,213,183,125,122,172,177,172,172,171,170,169,168,166,130,137,134,203,144,113,161,173,215,157,105,168,173,173,207,193,117,112,171,178,175,173,173,172,171,171,169,168,130,139,132,192,172,105,159,169,212,160,99,164,178,183,196,149,102,154,183,174,176,176,175,173,174,173,171,170,132,140,135,174,197,111,125,165,204,159,86,143,175,163,147,115,130,179,174,175,178,177,175,175,169,171,173,171,134,139,138,159,202,158,138,127,177,180,117,99,118,122,109,116,168,169,200,206,201,197,190,178,121,142,183,170,135,140,143,149,172,184,177,149,148,167,124,100,100,107,106,137,155,181,174,161,172,190,177,160,131,105,160,177,135,141,144,149,153,162,181,195,199,173,126,96,96,99,118,123,125,143,111,104,185,197,157,131,117,110,157,179,136,141,142,149,158,158,162,202,223,199,141,96,97,97,106,116,109,91,122,176,209,162,114,127,164,177,179,176,137,142,144,151,158,165,164,183,219,211,155,101,93,91,97,106,89,130,194,186,183,120,109,180,186,180,179,178,138,143,145,153,158,164,170,168,206,222,178,118,91,92,90,88,78,135,166,171,181,115,141,191,180,181,181,179,139,143,146,154,159,164,171,169,199,227,194,141,97,87,86,94,107,131,140,166,170,110,159,190,183,182,182,179,138,144,146,153,159,162,169,170,184,232,209,166,112,86,88,97,109,141,158,153,156,110,167,189,183,183,182,180,138,143,145,152,158,164,168,169,180,233,221,188,133,91,89,96,120,154,156,134,125,101,172,189,184,182,181,180,138,143,145,152,160,166,171,172,180,232,223,198,152,102,87,103,134,158,149,118,102,127,189,186,186,183,182,181,139,145,146,153,160,165,170,172,178,225,225,201,170,119,92,95,138,151,142,107,103,181,191,187,186,184,183,182,139,145,146,152,159,166,169,173,175,212,227,204,182,139,108,92,127,144,129,100,118,193,187,187,186,184,181,181,137,143,146,153,160,167,172,179,177,204,221,215,193,164,124,100,105,129,117,97,154,200,191,192,192,189,188,189,130,134,137,141,144,148,151,155,149,196,229,226,203,171,130,109,102,115,105,103,151,158,154,155,155,154,155,145,99,100,100,101,99,98,98,102,87,180,241,224,199,157,125,112,104,105,105,100,90,89,87,88,89,86,82,133,104,105,105,105,106,103,105,110,94,177,234,215,178,130,115,108,105,107,104,98,98,97,96,97,93,100,174,213
2,140,142,143,144,144,144,144,144,144,143,142,142,142,141,141,140,138,138,137,138,137,137,134,135,122,36,27,38,142,143,144,145,145,144,145,145,144,145,144,143,144,142,141,141,141,140,138,137,138,137,134,140,107,26,32,46,143,144,145,147,145,145,146,146,146,145,145,145,143,142,142,140,134,139,141,141,138,137,138,139,120,46,38,44,145,146,147,146,148,148,147,147,147,147,146,144,145,148,148,122,70,87,116,84,138,141,138,136,141,68,42,45,145,147,149,149,149,149,149,149,148,147,149,157,153,137,102,73,47,40,66,40,101,145,139,137,143,81,32,32,146,147,150,150,150,150,150,151,148,154,163,162,115,67,51,42,34,37,41,43,33,111,147,137,145,110,26,12,147,149,150,151,151,151,152,152,150,160,161,125,70,28,32,35,24,28,33,37,23,105,150,140,141,142,40,0,149,150,151,152,153,153,153,152,154,177,126,59,43,27,22,30,33,29,38,53,95,144,142,143,141,145,89,51,150,151,152,151,153,154,155,149,164,173,98,42,39,38,31,34,28,89,136,144,151,144,145,144,142,145,107,95,151,151,153,153,155,156,155,150,178,157,88,47,37,40,30,45,107,151,151,146,144,146,147,145,142,151,66,94,152,152,153,156,156,157,154,160,177,133,70,32,31,32,30,89,165,148,150,148,147,148,147,145,144,149,75,122,153,153,155,156,157,157,153,172,172,122,76,46,43,32,27,98,161,150,151,150,150,148,146,146,146,147,117,104,155,156,157,157,158,157,159,185,164,113,71,53,49,45,27,124,159,152,152,151,149,149,148,147,147,146,145,115,156,158,158,159,159,156,171,187,148,99,62,49,47,47,47,145,157,153,153,152,151,151,150,149,148,147,144,135,156,158,158,159,159,155,184,181,136,90,55,46,45,46,49,148,157,154,153,152,151,151,150,149,148,147,147,139,158,158,158,161,158,159,193,174,129,84,54,47,48,48,56,153,156,155,154,153,152,152,151,150,151,149,146,144,157,158,160,162,156,174,192,160,119,77,52,48,51,42,56,163,156,156,157,155,152,152,154,154,152,151,152,147,158,159,162,161,157,191,184,147,109,70,48,46,42,42,32,112,167,154,156,157,158,154,139,126,114,106,112,145,160,161,162,157,167,193,173,136,97,65,49,39,37,41,44,44,157,166,161,154,130,111,111,108,105,94,52,102,162,162,164,155,180,188,161,123,90,64,47,30,35,41,47,35,83,138,127,108,106,110,117,105,80,81,82,122,161,164,158,161,190,181,154,116,83,61,42,26,41,48,49,53,43,60,89,110,123,114,86,60,92,142,153,151,160,162,151,182,190,175,145,113,79,54,35,31,55,60,68,67,67,74,96,112,96,69,49,104,158,153,149,149,162,151,170,192,184,168,139,107,72,54,34,42,63,68,77,74,73,78,84,69,67,100,135,157,151,150,150,148,152,162,192,183,173,159,134,99,66,53,37,53,67,71,75,73,65,54,52,97,145,161,158,153,152,151,149,149,156,180,182,177,168,152,125,86,61,53,44,65,73,75,68,60,42,59,127,163,160,155,155,156,153,151,150,149,177,173,173,167,152,131,106,71,59,48,49,65,70,70,50,42,109,157,163,157,157,157,156,156,154,152,151,149,172,170,161,144,124,110,80,58,49,47,55,58,62,45,42,124,169,160,157,159,158,157,156,156,154,152,152,151,173,165,147,123,106,97,65,47,45,51,48,48,45,64,140,167,157,159,159,159,158,157,157,156,155,152,152,152
7,116,126,135,142,145,147,153,159,163,167,169,172,175,177,179,181,182,184,185,185,185,186,187,186,186,187,187,185,116,126,137,143,147,148,154,160,164,168,170,173,177,179,180,182,183,184,186,188,188,187,188,188,188,188,187,186,116,127,138,145,149,150,156,161,165,168,171,174,178,180,181,183,184,185,187,189,189,189,189,188,188,190,188,187,117,127,137,146,150,152,157,162,166,171,173,176,178,180,182,185,186,186,188,189,189,190,191,191,191,191,189,189,117,128,138,145,150,152,158,162,166,171,174,177,179,182,183,186,187,188,188,190,192,191,191,192,192,191,190,191,118,129,138,147,150,152,158,163,167,172,175,178,179,181,185,187,188,188,189,192,192,192,192,192,192,192,192,192,118,129,139,147,150,153,158,164,169,172,176,179,180,183,185,188,190,191,190,192,192,193,194,193,192,193,193,192,119,129,140,148,149,154,160,164,168,172,175,178,180,182,186,189,190,192,193,195,197,196,196,194,194,194,193,193,120,130,141,150,152,151,155,173,182,178,181,188,188,191,189,183,180,187,184,185,183,184,192,197,195,195,196,194,120,132,142,148,149,164,192,206,202,187,181,196,205,206,202,186,185,202,188,177,170,154,177,178,194,197,197,195,123,131,138,157,187,207,208,202,199,181,164,170,182,187,186,168,168,186,180,169,160,152,165,148,193,203,198,196,117,138,177,205,210,203,202,208,198,173,162,178,194,198,204,184,174,183,174,185,182,167,159,169,175,179,195,199,164,201,213,205,208,205,205,207,193,162,147,152,182,189,188,184,186,180,183,192,192,183,178,181,166,181,169,185,214,212,211,210,215,207,207,212,206,147,118,124,122,113,124,140,142,148,151,151,154,157,156,158,152,162,155,188,216,218,215,211,212,209,210,220,191,133,110,115,115,92,75,83,158,178,180,183,179,177,174,174,174,176,188,199,218,215,211,208,209,209,211,209,165,116,113,120,119,112,99,78,180,203,200,202,203,203,204,203,203,204,201,199,210,210,212,210,212,212,214,210,159,107,95,104,123,138,122,90,144,205,196,198,200,200,200,200,199,200,199,199,210,216,215,213,216,216,222,208,149,105,100,69,75,120,122,102,146,204,198,201,201,202,201,200,200,201,200,199,213,209,208,202,195,193,200,164,133,110,106,101,83,107,130,147,188,197,197,198,199,200,199,198,198,198,197,196,196,196,189,180,168,175,171,139,124,117,113,100,100,111,124,131,129,128,128,129,131,127,125,126,125,122,122,120,177,177,169,163,157,155,146,120,114,108,116,109,108,108,107,105,103,104,101,102,104,103,104,105,104,103,99,97,136,148,147,139,125,117,113,113,114,112,114,115,115,115,116,115,112,117,118,113,113,111,109,111,110,109,106,106,115,117,111,106,108,112,114,114,112,113,113,112,112,113,112,112,110,116,117,114,116,111,108,107,107,108,107,108,95,90,96,111,114,115,116,114,114,114,114,114,114,112,113,113,112,111,109,111,113,110,108,108,107,106,108,103,106,96,99,112,115,116,115,116,116,116,116,117,115,114,115,115,114,113,112,112,112,111,111,108,107,109,102,121,122,106,100,108,115,115,115,115,115,116,116,116,114,114,115,114,114,113,113,111,110,110,110,109,109,105,112,200,109,102,103,103,113,115,115,114,115,116,116,116,115,115,114,114,114,113,112,112,112,110,109,110,107,103,191,200,112,106,101,97,113,115,115,115,115,115,114,114,114,113,113,113,113,113,112,112,111,110,110,108,119,173,185,166
10,70,113,100,27,59,86,89,95,101,111,126,134,141,147,151,155,157,158,160,164,167,171,171,173,176,177,178,179,77,119,92,25,66,87,90,97,103,111,128,135,142,147,151,156,158,159,165,166,169,171,173,174,176,178,179,180,88,122,82,25,72,87,91,97,104,115,129,136,145,150,154,155,164,161,151,169,170,172,174,175,178,179,181,183,102,123,72,28,78,87,93,98,104,118,132,138,145,152,157,153,184,160,120,170,171,172,175,177,179,179,182,185,110,123,61,34,82,87,94,99,105,120,133,139,147,152,157,155,187,171,117,166,173,173,177,178,180,182,184,185,113,125,50,41,84,89,95,101,108,122,134,141,148,153,158,156,184,176,112,156,177,175,178,180,181,183,185,185,119,125,41,46,85,89,95,101,108,125,135,143,148,153,158,159,177,184,125,138,182,176,179,181,184,184,186,187,124,120,33,55,86,89,96,103,110,126,139,145,150,155,161,160,171,186,136,118,183,177,180,182,185,186,187,189,130,114,27,63,88,90,95,103,109,154,139,112,150,155,159,162,167,179,147,105,170,182,181,183,186,187,188,190,135,105,25,68,89,89,104,109,116,169,131,95,123,161,159,163,165,189,166,101,149,186,181,184,187,188,190,191,139,94,26,75,83,107,168,111,101,149,150,111,94,154,162,165,163,206,183,110,128,188,180,186,187,188,191,192,142,80,28,81,86,106,140,95,79,114,167,137,91,131,172,164,165,201,172,121,113,188,182,186,189,191,191,193,141,68,32,83,89,93,104,104,87,98,165,139,102,89,139,167,171,187,163,128,101,181,185,186,190,192,192,194,143,56,39,89,89,96,102,109,109,100,160,143,104,86,83,124,170,166,157,138,97,171,190,187,191,194,195,196,140,46,47,92,91,97,103,109,123,129,180,167,123,93,81,80,114,133,148,138,99,163,191,188,192,194,195,196,135,37,54,90,91,96,104,109,120,162,199,178,144,102,84,69,83,102,129,133,95,152,195,189,192,194,195,197,128,30,60,92,92,98,103,110,182,192,187,186,160,123,95,83,88,108,117,122,89,134,197,190,193,196,196,196,118,27,68,94,93,99,99,128,209,196,187,185,175,147,108,91,91,100,111,111,84,129,198,188,194,197,197,198,106,27,74,93,93,99,101,124,213,196,188,194,176,152,108,89,83,90,104,100,78,157,198,190,194,197,197,199,93,26,79,93,94,100,105,113,179,141,194,200,169,143,105,90,84,94,106,93,101,189,192,195,195,196,198,199,78,28,83,94,95,100,106,111,142,121,214,186,158,141,112,97,88,95,102,85,143,196,190,195,196,196,198,199,63,34,88,93,95,101,109,107,172,191,211,188,155,137,117,100,94,93,95,91,179,193,192,194,196,197,199,200,50,39,90,92,95,101,106,116,205,210,209,178,158,124,117,104,97,92,83,124,195,191,194,195,196,197,200,201,41,46,91,92,94,102,102,131,221,208,199,167,153,116,110,107,99,88,84,173,193,192,195,197,197,199,201,203,32,51,93,92,95,102,103,129,219,210,188,156,141,113,105,104,102,80,119,194,189,193,194,197,198,199,201,202,26,57,95,92,96,103,103,132,224,202,183,149,135,113,104,100,96,74,154,194,190,192,193,196,198,200,201,202,26,64,95,93,96,104,104,136,212,187,186,158,145,120,100,94,84,82,173,190,191,193,194,197,200,201,202,203,27,68,95,93,97,103,107,125,181,184,192,179,156,125,99,88,74,96,186,188,191,194,195,197,200,201,202,204
20,130,133,136,139,140,143,146,147,149,150,150,151,150,152,152,150,151,150,150,150,148,146,146,145,143,142,141,140,131,135,138,141,143,146,148,150,151,152,153,152,156,140,145,156,152,152,152,151,151,149,147,147,146,145,144,143,133,137,140,143,147,150,151,152,153,155,157,151,179,123,105,159,154,154,155,153,152,151,151,149,149,148,147,145,136,139,143,146,149,152,153,154,156,158,158,154,186,130,109,125,134,161,155,155,154,153,152,150,151,150,149,148,137,141,146,148,151,153,155,157,159,159,160,157,184,126,136,139,104,166,156,158,157,156,155,154,153,153,152,150,140,144,148,151,152,155,159,161,161,162,162,160,190,139,138,156,93,160,160,159,159,159,157,157,156,155,154,152,143,147,150,153,154,157,160,163,164,164,165,163,195,150,133,173,95,153,165,162,161,160,159,159,159,158,157,155,145,149,152,155,157,159,162,164,164,165,168,167,192,141,131,180,102,143,171,164,164,162,161,160,159,159,158,157,148,151,153,156,160,162,164,164,170,173,154,169,208,147,136,182,108,133,174,165,166,165,163,163,162,161,160,158,149,152,155,159,161,164,165,164,177,199,158,144,168,141,128,195,121,128,176,165,167,166,166,165,164,163,161,160,150,154,157,160,163,163,170,201,153,144,182,141,105,99,102,179,125,121,177,167,169,168,167,166,167,165,163,162,152,156,159,161,166,164,183,181,170,136,178,173,170,146,101,131,121,115,179,171,171,171,168,167,167,166,165,164,153,157,160,164,167,166,182,169,144,132,143,169,182,181,119,81,98,108,179,171,171,171,170,168,167,167,167,165,154,159,162,165,168,170,178,190,160,116,85,84,110,178,147,88,64,101,180,173,174,173,172,170,170,169,168,167,156,159,164,167,170,172,175,204,170,122,92,82,74,164,179,119,63,89,180,176,175,174,173,173,172,171,168,168,157,162,166,168,172,174,177,197,168,129,99,108,121,174,199,150,91,77,176,179,177,175,175,174,173,172,170,168,159,164,167,170,173,176,178,206,177,131,117,110,149,204,193,154,115,75,173,182,177,176,176,175,174,173,171,170,160,165,169,172,176,178,181,209,181,139,124,126,175,209,176,134,103,75,175,181,179,178,177,177,175,174,174,172,161,166,169,172,177,179,181,209,188,154,140,132,192,201,159,117,81,92,186,180,180,179,179,179,178,176,175,172,163,168,172,175,178,179,181,203,189,155,148,138,199,192,147,109,74,99,192,181,183,181,180,180,179,178,175,172,165,169,173,177,178,182,182,196,189,158,158,142,192,179,135,102,68,105,193,183,185,184,181,180,179,179,177,175,165,170,174,178,180,182,183,190,194,171,169,142,186,165,120,92,62,121,196,184,185,185,184,181,180,180,178,176,165,171,175,178,181,182,186,189,194,176,171,137,172,147,105,87,60,145,196,185,186,185,184,183,182,181,179,177,166,171,176,178,181,184,187,189,200,172,147,120,158,128,109,89,71,178,192,188,188,185,185,184,184,182,180,178,167,172,177,179,183,185,187,190,204,180,145,137,156,118,124,74,117,199,189,191,190,188,187,186,184,184,181,179,168,172,177,180,184,186,185,194,210,193,168,161,141,114,113,64,165,197,189,191,191,189,187,187,186,185,183,180,167,171,174,179,183,186,182,194,196,175,174,160,132,109,90,83,188,192,190,190,189,187,187,186,186,184,183,180,167,171,176,180,183,188,179,200,190,159,158,147,116,98,70,111,198,191,191,191,190,188,187,185,185,184,183,180
12,134,135,136,138,138,138,138,139,139,140,140,138,139,138,140,141,137,134,135,134,133,133,131,130,129,128,127,125,135,139,139,139,140,141,140,140,141,141,142,142,140,139,131,118,129,139,135,135,135,133,131,131,131,129,127,125,137,139,139,141,141,141,143,142,142,142,141,130,139,142,101,77,59,120,144,138,139,136,133,133,132,131,128,127,139,141,141,142,142,142,143,144,142,144,127,87,72,108,110,89,58,65,127,98,88,117,138,132,132,131,129,128,140,142,141,142,143,145,144,143,142,150,126,99,68,60,123,96,75,55,53,76,63,43,117,139,133,132,130,129,140,141,143,143,144,144,146,145,143,154,135,110,92,53,118,106,82,60,35,72,69,29,64,145,134,133,131,130,141,143,143,143,145,145,146,145,149,155,148,118,97,55,95,110,85,64,27,68,65,36,40,142,135,134,133,131,143,145,144,145,146,146,147,145,155,137,155,124,98,62,68,111,86,65,28,56,72,37,42,143,135,135,134,133,143,144,145,145,145,147,144,143,134,83,123,131,91,68,56,112,88,68,33,49,74,35,56,147,135,137,135,134,143,144,145,146,146,144,143,148,119,68,61,126,96,67,38,107,99,73,45,28,60,29,89,149,136,137,137,135,144,146,146,147,146,156,156,137,97,67,35,103,99,58,29,97,124,94,57,25,45,23,107,147,138,139,136,135,145,146,148,146,154,154,133,123,88,77,40,83,100,67,39,105,138,100,60,33,52,37,126,145,140,139,137,136,146,147,147,146,165,146,109,123,95,85,47,56,110,99,56,77,119,79,40,33,58,34,112,150,140,139,138,136,147,146,146,153,150,129,92,90,104,80,47,36,115,108,78,25,24,23,19,50,57,17,54,153,140,140,139,137,147,148,147,154,142,115,93,58,90,86,64,28,94,107,70,28,8,39,48,48,32,25,29,139,145,141,139,138,145,148,149,151,153,130,108,76,63,97,65,33,15,62,65,30,50,71,83,67,41,31,41,144,143,142,140,139,147,149,150,152,156,136,111,88,59,78,59,50,11,67,123,102,95,86,92,72,47,16,82,155,142,143,140,138,148,149,151,153,158,143,119,96,72,53,69,76,45,118,148,133,111,93,87,65,41,13,114,153,144,144,141,139,148,149,150,155,151,136,116,95,72,55,60,72,90,144,140,124,105,90,75,61,33,20,137,148,145,143,141,140,149,150,152,153,140,127,117,95,67,75,52,81,130,138,131,115,98,84,69,57,19,66,157,144,145,143,142,141,149,151,152,151,140,130,119,92,69,86,71,119,133,132,125,107,91,76,61,39,31,141,150,146,145,144,142,141,150,152,152,153,143,129,120,97,81,79,81,125,124,130,122,101,80,65,56,18,76,162,146,147,146,146,144,142,150,152,152,154,146,132,122,106,87,68,79,123,119,122,108,91,69,55,42,14,131,156,150,148,147,146,145,144,149,152,153,154,151,141,123,104,86,64,72,110,111,106,94,74,56,48,16,61,162,151,150,148,147,146,145,144,150,152,154,154,153,139,121,106,90,75,73,100,102,89,78,64,48,31,19,140,156,151,149,148,147,147,146,144,151,152,154,153,156,133,110,100,86,84,76,92,104,90,74,60,45,8,99,163,150,151,150,148,147,147,147,145,152,152,154,153,156,132,113,106,100,98,87,92,101,88,71,55,25,48,160,153,153,152,151,150,148,146,147,146,152,153,154,149,152,133,117,117,110,101,93,94,98,82,53,43,18,117,162,153,155,153,152,151,150,148,146,145
21,178,183,185,188,190,191,192,193,195,196,196,196,197,195,194,195,196,193,192,192,190,190,189,188,187,186,185,184,180,184,186,190,191,193,194,195,197,197,198,199,199,198,197,194,190,195,194,193,192,191,191,191,188,187,187,186,181,184,187,191,192,193,195,197,199,199,200,200,200,199,201,207,136,165,201,194,193,193,193,192,190,188,188,188,183,185,189,192,193,194,196,199,201,201,201,201,202,199,206,208,124,157,204,195,196,194,195,194,192,189,190,189,184,187,191,194,195,196,198,200,202,202,202,202,202,200,213,198,127,168,205,197,198,195,191,197,194,192,191,191,185,188,191,193,196,198,199,201,202,203,203,204,206,200,219,194,127,175,207,197,198,183,139,173,201,193,194,193,186,190,193,194,198,199,200,201,202,204,206,206,207,204,221,191,131,186,205,199,195,170,117,163,203,195,195,193,187,191,194,197,199,201,201,203,205,206,208,207,207,206,222,184,129,191,205,200,190,165,123,190,198,195,195,194,188,192,194,198,199,201,203,206,206,207,207,207,205,211,220,180,125,191,208,200,187,151,137,203,197,198,196,196,189,193,196,199,200,202,204,206,206,208,208,209,204,218,222,171,124,198,205,192,185,134,168,207,198,199,198,197,191,195,198,200,202,203,205,207,208,208,206,205,205,228,218,159,136,212,196,187,169,126,194,204,200,200,199,198,191,195,199,201,202,205,207,208,207,214,207,161,158,213,191,137,141,213,192,191,139,143,211,203,202,202,201,200,192,195,199,202,203,206,208,208,208,212,210,169,134,133,132,112,155,210,196,178,123,184,211,204,203,203,201,200,193,197,200,202,205,207,208,209,212,218,208,207,178,149,110,107,156,185,185,148,133,209,207,205,204,203,202,201,193,198,201,204,206,207,210,210,219,228,219,237,215,169,119,113,127,140,150,120,170,215,206,206,205,205,204,203,194,198,201,204,207,209,210,215,216,187,210,218,204,154,120,112,118,123,121,124,203,211,209,208,207,205,206,205,194,198,202,205,208,210,209,224,201,159,197,160,191,170,133,114,107,116,109,154,218,210,210,210,208,206,206,205,196,200,203,206,209,211,211,228,214,179,148,109,174,192,146,118,106,110,108,184,218,211,211,210,209,209,208,207,197,202,204,207,209,210,213,227,192,154,136,111,150,206,160,129,114,110,109,198,217,213,213,210,210,210,209,207,197,201,205,208,210,210,221,231,187,175,166,137,197,216,172,154,123,115,108,198,221,215,215,213,211,210,209,208,197,202,206,208,211,209,228,227,198,188,155,183,247,212,174,164,130,120,116,202,221,215,216,215,212,211,211,209,198,203,206,207,211,211,231,235,214,173,167,241,234,194,166,161,135,122,125,210,218,216,215,216,214,213,213,210,198,203,206,208,212,212,235,246,203,174,185,247,220,192,161,148,139,121,137,219,217,217,216,215,215,214,212,210,199,204,207,210,214,211,236,230,187,192,189,244,217,195,176,135,131,118,155,225,217,218,218,216,215,214,213,212,198,202,206,208,211,212,230,209,210,201,186,244,213,186,171,138,129,118,177,226,218,219,217,217,216,215,214,212,198,201,203,207,210,212,218,219,236,197,200,234,198,172,153,136,131,122,194,224,218,217,216,215,214,213,213,210,198,202,204,207,211,214,214,226,227,187,185,215,184,157,136,131,125,132,209,222,218,218,217,215,216,214,213,211,199,202,205,208,211,215,216,221,208,186,174,197,181,154,141,131,119,142,221,220,220,219,218,216,216,215,214,212
19,162,162,162,164,165,166,167,167,166,167,167,167,166,166,166,165,165,164,162,162,162,161,161,161,159,159,159,158,161,163,164,165,166,167,167,168,167,168,168,168,167,167,167,166,166,166,165,164,163,162,162,162,161,161,161,160,162,164,165,166,167,168,168,168,169,169,169,169,168,168,167,168,167,166,166,166,165,165,164,163,162,162,161,161,163,164,166,167,168,169,170,170,171,171,171,170,169,169,168,169,168,167,167,166,166,166,166,164,163,163,162,161,164,165,166,167,169,169,171,172,172,173,172,172,172,170,170,170,169,168,167,167,167,167,166,165,163,163,163,162,165,167,167,168,169,172,172,173,173,173,172,173,173,173,172,170,170,169,168,168,167,166,166,165,164,164,163,163,166,167,168,170,171,172,173,174,174,174,174,173,172,172,172,174,173,171,170,169,169,168,166,167,166,165,164,164,166,168,170,172,173,174,174,175,174,174,174,174,173,172,168,162,169,172,171,172,171,169,168,167,165,164,165,164,168,169,171,172,174,174,175,176,175,176,175,174,173,177,163,131,138,173,162,163,166,165,161,165,164,119,160,167,169,170,172,173,174,175,176,175,176,173,169,172,172,177,172,167,175,177,166,166,176,170,164,150,122,111,164,167,170,171,173,173,174,176,176,178,180,160,152,159,165,168,161,152,145,151,143,151,164,146,126,118,131,162,170,168,169,172,173,173,175,176,175,175,160,154,163,165,158,159,154,148,119,110,110,114,143,142,155,165,173,171,168,169,172,173,174,175,177,172,180,191,178,178,179,172,164,153,124,105,111,94,91,151,179,176,176,173,171,170,169,169,173,174,175,176,179,171,199,209,188,174,167,162,159,145,116,92,104,96,98,168,176,174,173,172,171,171,171,171,172,173,175,176,179,172,197,201,174,151,129,122,123,131,120,99,104,98,102,172,175,175,174,174,172,172,172,172,172,174,176,177,179,172,184,191,164,124,115,87,83,144,126,104,106,98,113,177,176,176,176,175,175,173,173,172,173,174,176,177,181,170,179,191,162,128,97,75,123,142,121,106,107,96,130,184,177,177,177,176,176,174,174,172,174,175,177,178,182,169,176,195,167,140,116,89,93,93,91,97,97,103,112,181,179,178,177,177,176,175,174,173,175,177,178,179,182,169,175,194,171,145,121,110,86,67,65,73,88,98,96,170,182,178,178,177,176,175,174,173,175,177,179,179,184,168,169,192,168,146,123,112,111,93,84,89,98,103,98,160,184,179,179,177,176,176,175,175,176,177,179,180,183,171,166,190,166,144,124,113,113,102,94,98,103,108,102,163,184,179,179,178,177,177,177,176,176,177,179,181,184,174,164,188,167,142,125,114,113,103,94,99,105,108,109,173,183,180,179,179,178,178,179,177,176,178,180,182,185,177,167,183,161,138,123,113,112,107,101,103,110,110,125,184,182,181,181,180,179,179,178,177,178,179,180,181,184,178,176,185,161,137,124,115,111,110,109,111,117,108,153,187,181,183,182,181,180,180,178,179,179,180,181,183,186,175,178,188,166,143,128,117,111,115,115,116,113,131,182,184,184,183,183,181,180,180,179,179,177,179,180,182,187,170,179,184,166,152,132,116,111,118,117,114,146,181,185,185,184,182,182,181,181,181,180,178,177,179,179,180,182,171,183,177,157,146,131,116,115,116,109,133,185,185,183,183,182,181,181,181,180,180,179,178,177,179,180,181,179,181,189,180,163,145,133,120,112,112,105,147,184,184,184,183,182,182,181,181,180,179,178,178
22,120,125,129,133,138,143,148,151,154,157,159,160,161,162,163,163,162,161,161,160,160,159,158,158,157,156,155,153,121,127,130,134,140,146,149,152,155,157,159,161,163,164,164,164,164,163,163,162,161,160,159,159,158,158,156,155,123,129,131,135,142,148,150,153,156,158,160,163,164,164,164,165,162,163,164,164,163,161,160,160,159,159,157,157,124,129,132,137,143,148,152,155,157,160,159,163,164,166,168,190,135,154,165,164,169,167,148,161,161,160,159,158,125,130,134,138,145,150,153,156,163,193,136,157,167,167,173,199,122,143,167,165,185,162,125,162,162,160,160,159,127,131,133,139,146,152,155,158,166,202,131,150,169,168,178,194,125,142,169,167,191,145,124,164,163,162,161,160,128,132,134,141,147,153,157,160,163,201,146,142,171,169,183,199,134,144,171,175,192,136,128,167,164,163,162,161,128,133,137,143,149,154,158,161,164,209,171,138,172,171,187,198,138,146,171,188,197,133,139,169,166,165,164,163,129,134,138,144,151,155,158,163,164,207,191,137,170,172,190,192,138,145,173,203,193,129,150,170,167,167,166,164,130,136,140,145,151,157,161,165,165,201,204,138,162,173,195,195,140,143,181,211,177,118,157,171,169,168,167,166,132,137,141,146,152,158,163,166,166,194,215,161,151,176,200,201,141,147,200,211,158,114,165,172,170,169,168,166,133,138,142,148,154,160,164,166,182,195,176,162,141,177,199,195,139,162,219,203,141,127,173,173,171,170,169,167,135,139,143,150,157,161,166,169,216,222,192,159,117,161,186,185,173,194,214,189,125,149,177,174,173,172,171,170,135,140,144,151,158,163,168,174,224,233,214,170,111,113,157,175,192,192,184,156,120,169,178,176,175,174,172,171,136,141,145,153,159,165,169,179,218,210,199,200,159,120,117,139,171,175,163,122,129,180,179,178,177,175,174,172,136,141,146,154,161,165,169,184,226,205,184,210,209,163,113,100,135,159,149,109,138,183,180,180,179,178,175,174,137,142,146,154,162,166,169,194,230,194,169,170,212,198,152,103,100,130,137,111,150,185,182,181,180,180,178,176,138,142,147,155,163,168,170,204,229,189,149,131,171,207,190,145,99,97,111,105,167,186,184,183,182,181,179,178,138,143,147,155,163,169,172,213,234,191,144,155,153,203,216,186,139,94,87,106,178,186,185,184,182,182,180,179,138,142,146,155,162,168,172,213,230,193,141,168,172,220,222,203,170,124,90,112,186,186,185,184,182,182,180,179,138,142,147,156,164,169,172,213,231,187,150,172,197,234,225,204,180,132,88,121,189,187,186,186,184,182,181,180,138,142,148,157,165,170,173,211,234,180,165,169,216,240,228,199,163,121,88,132,191,189,188,186,185,184,182,181,137,142,148,156,164,171,174,206,232,181,180,169,229,238,224,197,147,107,91,150,192,190,188,186,185,184,182,181,137,141,147,154,162,169,173,200,232,190,190,173,235,231,217,186,137,102,96,169,192,190,188,186,186,184,182,181,122,125,128,131,133,136,136,160,229,206,197,179,229,219,202,167,126,101,97,131,137,135,135,134,134,133,130,127,104,104,105,106,105,104,103,121,222,212,195,174,213,203,175,145,117,102,96,96,94,93,93,92,91,87,99,140,108,108,109,109,108,109,109,121,211,199,182,166,184,182,154,134,120,106,98,99,99,98,97,98,102,129,183,194,109,110,110,110,109,109,109,113,190,178,164,157,161,169,157,135,123,108,100,101,100,99,98,98,141,199,198,177
6,166,169,172,174,177,180,182,185,186,188,190,189,191,193,194,194,195,195,195,195,195,196,196,195,195,195,194,193,166,170,173,176,178,180,183,185,187,188,190,190,192,193,194,195,195,195,196,196,196,196,196,196,196,196,195,194,166,169,172,176,179,181,183,185,187,188,191,191,192,193,195,196,196,196,197,197,197,197,197,197,197,196,195,195,168,170,174,176,180,183,186,187,188,189,191,193,194,195,195,196,196,197,198,198,197,198,199,197,196,196,196,196,168,172,175,178,181,183,185,187,188,190,191,194,195,196,196,196,198,200,200,199,199,198,198,198,199,197,198,198,168,171,176,179,182,184,186,188,190,190,191,194,196,197,196,197,199,199,200,200,200,201,202,201,201,199,198,198,170,173,176,179,181,183,186,188,190,189,191,190,192,194,191,193,193,198,197,192,192,182,180,190,196,200,200,199,170,174,178,177,183,195,199,188,190,196,200,202,205,208,197,199,200,213,210,198,194,179,166,184,187,172,201,199,169,170,172,190,209,214,207,187,173,181,201,207,209,206,195,192,201,197,194,193,185,173,165,173,167,160,203,199,166,178,201,216,213,210,205,194,158,136,155,161,164,166,166,165,159,154,158,158,156,156,162,168,173,195,202,199,195,216,215,206,206,213,216,197,158,122,114,108,110,130,140,150,170,187,192,194,197,199,201,201,203,202,200,200,217,211,206,209,215,213,196,161,146,128,121,122,113,122,180,206,204,202,202,203,203,203,202,201,201,200,201,200,214,211,212,210,210,200,186,165,139,125,119,128,132,122,128,152,202,204,202,203,202,202,203,202,202,201,200,201,214,214,212,210,210,210,216,192,140,126,113,114,130,134,132,107,134,204,203,203,204,203,202,203,202,202,201,201,210,211,210,208,210,219,215,177,141,130,131,127,121,121,132,131,102,146,209,202,204,203,202,202,202,202,201,200,208,209,206,204,213,219,191,159,142,136,134,136,134,112,110,116,118,120,205,204,204,203,203,202,202,203,201,201,200,201,198,199,206,207,186,158,134,125,133,142,150,131,119,110,106,146,204,200,201,200,199,199,199,199,198,199,202,202,200,198,203,205,196,162,131,111,109,121,153,150,134,120,113,134,143,140,139,139,137,138,136,136,134,134,204,205,207,205,211,210,195,153,130,133,129,125,117,127,135,129,127,116,112,114,115,115,114,111,111,111,110,109,203,202,199,199,209,201,182,150,136,140,138,134,128,120,115,121,123,121,121,121,122,122,121,119,119,119,118,117,195,188,183,189,195,184,171,153,144,143,142,132,125,120,121,126,126,125,123,120,120,119,120,120,119,118,117,116,182,177,173,181,181,167,154,145,136,131,137,135,132,130,126,127,125,126,122,122,121,120,120,120,120,119,119,118,168,166,159,155,152,140,130,125,122,114,117,123,128,128,125,123,124,123,122,121,120,120,119,120,119,119,118,119,148,140,131,126,125,126,127,126,126,126,125,123,125,125,125,124,124,124,123,123,120,120,120,120,119,118,119,114,119,123,125,125,126,128,128,128,127,127,127,126,127,125,125,125,123,123,123,123,120,120,120,119,119,119,112,131,123,127,127,127,127,127,126,126,126,126,126,124,125,125,124,122,122,122,122,121,120,120,120,120,122,112,121,202,127,127,127,128,128,127,127,126,126,126,126,125,125,125,124,123,123,122,122,122,121,121,121,123,121,110,189,206,127,127,127,127,126,126,126,125,125,125,124,126,125,125,124,123,123,121,121,122,121,121,120,126,113,165,214,182
0,209,207,208,208,209,208,207,206,208,208,208,208,208,207,206,206,205,204,204,202,200,199,199,199,197,194,194,194,213,212,211,211,212,212,211,211,211,211,211,210,210,209,208,208,206,205,206,204,204,202,201,202,199,198,196,195,214,215,214,215,215,215,214,215,213,212,212,212,212,211,211,210,209,206,207,205,205,203,204,203,200,198,197,196,215,215,215,215,215,215,214,215,215,214,215,214,213,211,213,212,210,210,210,205,206,206,204,204,204,202,201,198,216,216,216,215,216,215,215,215,216,215,217,217,216,215,215,218,213,212,215,214,208,207,207,206,205,204,202,202,219,218,218,217,216,216,216,216,217,216,217,217,215,217,209,190,211,219,192,187,215,180,174,214,205,205,204,204,218,218,219,219,217,217,216,217,217,216,217,221,223,213,167,119,116,172,141,106,134,184,107,206,209,206,206,202,219,220,220,219,219,220,221,220,222,225,221,194,164,179,162,127,71,80,148,110,65,182,107,158,225,204,208,204,220,221,222,221,220,220,219,220,197,197,207,169,103,77,157,137,105,90,150,117,68,154,148,77,194,217,206,207,222,223,223,223,222,222,218,204,154,98,181,163,116,62,146,147,121,88,158,122,58,119,165,92,87,193,212,207,223,222,223,223,222,223,205,196,163,104,162,172,131,78,139,155,109,84,165,125,52,70,171,134,72,108,227,205,223,224,225,224,226,219,189,186,178,130,142,183,129,82,113,158,106,65,134,107,42,73,177,145,62,119,228,207,226,226,225,225,226,213,174,163,177,140,123,174,123,79,92,157,104,29,58,57,22,133,186,136,48,181,220,210,228,227,224,225,224,207,196,146,156,135,86,151,131,91,51,88,59,0,33,34,86,180,178,102,78,223,212,214,229,228,226,227,221,198,173,110,120,86,32,110,121,82,13,10,29,82,136,115,155,181,154,64,137,230,212,215,228,229,229,232,217,196,182,137,98,54,22,42,68,28,7,49,135,182,178,163,138,162,124,38,191,224,214,216,229,230,229,233,214,200,197,167,119,94,74,77,89,95,123,165,189,180,171,164,117,116,77,53,226,218,217,216,230,231,229,233,212,200,207,174,140,115,102,115,150,182,193,197,198,183,163,149,96,76,27,149,234,218,218,216,230,231,229,233,213,192,207,179,149,111,113,125,182,198,201,204,196,169,148,130,84,20,104,233,220,221,220,219,229,230,229,232,220,180,197,182,157,127,122,145,200,204,200,203,182,151,127,108,38,71,230,223,221,222,222,220,229,230,230,230,229,184,192,190,165,151,135,162,197,203,201,187,157,138,113,68,37,208,227,221,221,221,220,219,230,230,230,230,236,195,178,192,180,164,137,166,193,194,190,168,135,116,89,25,166,235,217,222,221,220,219,217,230,231,232,229,233,214,172,187,179,158,136,157,184,174,164,140,111,91,26,119,239,220,224,222,221,220,219,218,231,231,231,231,232,230,181,182,168,149,136,148,171,158,140,114,86,27,81,233,225,226,224,222,222,222,221,220,231,230,230,232,233,227,189,183,160,140,136,141,163,149,117,97,35,72,228,228,226,227,226,224,223,222,222,221,230,229,230,229,232,216,188,179,169,165,159,147,155,143,104,59,37,220,232,226,228,228,226,224,223,223,221,220,235,234,234,234,238,193,187,190,183,178,164,150,148,126,83,25,129,246,224,230,228,227,228,226,225,225,220,218,189,193,197,201,205,175,191,201,189,175,164,152,131,97,68,29,186,234,228,230,230,228,226,226,224,223,221,219
2,124,128,133,138,142,144,146,150,153,154,157,159,162,163,163,168,163,171,172,175,177,176,176,178,177,178,179,179,125,129,135,139,142,145,148,151,153,155,158,160,164,163,168,166,107,139,164,172,130,155,186,176,180,180,179,180,126,128,137,140,144,146,149,151,155,157,158,160,159,168,169,129,73,86,146,146,85,107,168,178,179,180,181,181,126,130,138,141,144,146,151,154,157,160,158,163,174,167,125,84,60,76,109,111,101,103,86,167,182,179,180,181,129,132,138,142,146,148,152,156,160,161,163,187,183,134,73,62,65,78,76,97,108,108,58,117,191,180,180,182,129,133,138,143,147,150,153,157,161,159,182,192,150,92,48,47,60,81,76,97,99,90,83,160,188,183,184,184,132,135,140,145,149,152,154,159,158,170,198,147,91,53,41,30,59,95,109,91,117,135,168,190,185,187,186,186,131,135,141,145,150,152,156,158,155,193,176,102,57,53,52,50,84,89,92,152,189,188,190,185,187,188,187,188,131,137,141,146,150,154,158,153,182,191,138,87,50,54,53,68,65,103,167,190,184,184,186,187,189,189,188,188,133,136,143,148,151,156,155,163,197,158,102,51,45,46,63,74,93,193,186,184,186,186,188,190,190,190,189,189,133,138,143,148,154,157,155,196,186,130,80,55,59,46,67,65,142,189,182,186,187,188,189,190,190,190,192,191,136,141,144,149,158,153,184,217,179,122,84,68,65,59,56,96,185,184,185,187,188,189,191,192,190,192,194,194,137,141,147,151,155,152,216,203,156,112,73,64,61,67,68,165,189,184,187,188,189,190,192,195,194,194,196,195,137,142,147,153,153,173,229,191,142,98,67,61,59,62,101,191,185,187,188,188,189,191,193,193,193,195,195,196,138,143,147,154,150,206,220,176,132,86,62,61,64,61,146,191,185,189,189,189,192,195,194,198,199,196,198,195,138,144,150,150,166,230,205,164,124,81,61,62,63,51,166,191,186,189,189,192,193,195,196,181,160,146,163,201,138,144,152,146,204,228,192,151,112,73,58,64,64,54,112,196,188,187,189,194,201,189,161,151,145,107,121,204,139,146,148,161,229,208,176,144,108,72,57,60,65,76,71,129,189,194,195,192,170,158,158,146,117,139,193,199,139,147,141,196,227,195,169,133,99,68,55,60,71,84,97,84,102,148,158,150,138,147,161,107,150,208,199,199,140,143,150,226,213,194,158,121,94,70,50,66,81,98,113,111,96,122,137,157,164,154,119,109,203,197,198,200,141,137,188,227,198,181,146,123,99,70,51,82,106,124,132,124,117,137,153,152,138,124,128,182,203,199,199,199,139,146,221,209,197,176,147,128,100,71,60,102,124,130,138,135,120,133,133,116,143,180,201,201,200,201,199,200,131,182,228,202,194,175,145,125,98,72,68,116,128,127,137,141,98,95,134,179,203,202,199,198,199,201,201,202,140,223,215,198,190,167,136,117,97,72,74,122,125,120,139,109,108,163,198,198,196,197,200,199,201,201,201,202,186,227,199,194,187,151,117,103,85,68,90,113,125,119,113,136,193,200,196,196,197,198,197,199,202,201,201,202,220,206,191,178,170,138,110,94,78,77,95,101,117,104,152,196,192,193,197,197,198,198,198,200,203,202,201,202,205,196,182,165,169,120,96,92,81,88,73,91,138,172,194,190,193,196,197,197,199,199,199,200,201,202,201,202,199,191,174,157,171,111,84,94,92,78,103,166,185,191,190,193,190,193,197,197,199,199,199,201,203,203,201,202
0,171,172,174,175,176,177,177,176,175,176,176,175,175,174,174,174,172,172,172,171,170,169,169,167,167,166,165,164,172,173,174,176,177,179,179,178,177,177,177,177,177,176,175,174,173,173,172,172,172,170,170,168,168,166,166,165,173,174,175,177,178,179,180,179,179,178,178,178,178,177,176,175,173,173,174,173,172,171,171,169,168,168,167,167,174,175,177,178,179,181,181,181,180,179,179,178,178,178,178,189,173,154,166,173,172,173,172,171,170,169,167,168,175,177,178,179,179,181,181,182,182,182,180,180,187,177,179,210,180,145,127,157,151,156,171,166,169,170,169,168,177,179,179,180,181,181,182,183,183,182,179,192,206,186,182,215,184,146,124,166,145,116,136,122,153,172,171,170,178,180,181,181,182,183,184,183,186,193,172,200,208,189,180,219,191,142,157,184,140,94,109,99,148,173,172,171,179,181,183,183,184,185,186,182,203,220,189,198,216,187,167,212,193,140,136,165,127,90,113,101,158,174,172,171,181,182,184,185,185,186,186,185,211,234,209,181,220,188,148,182,175,132,106,142,113,109,136,104,155,174,172,173,182,183,184,185,185,187,186,192,204,225,215,164,198,175,127,145,160,127,99,139,110,143,154,108,144,176,173,174,184,185,185,186,186,187,186,199,196,197,188,145,169,158,112,106,159,123,97,143,120,172,164,111,146,177,175,175,184,186,186,187,188,188,187,209,206,183,173,130,146,157,107,89,163,133,101,109,153,188,155,106,156,178,176,175,184,186,187,187,188,189,193,214,185,154,164,139,125,166,116,98,159,177,171,131,164,180,139,105,166,178,177,176,186,187,187,188,188,189,200,223,193,156,141,142,124,159,131,143,189,198,183,159,141,151,127,111,175,179,178,176,186,188,189,190,190,191,203,226,200,170,147,142,167,179,190,200,200,190,169,152,136,120,114,114,177,179,179,177,187,190,192,192,192,191,212,232,207,187,172,160,180,205,215,216,202,184,163,144,128,108,99,121,180,179,179,179,188,190,192,193,193,192,219,232,212,198,182,171,192,217,226,225,205,180,161,139,119,102,97,154,183,182,181,180,189,191,192,193,194,193,221,229,212,195,179,174,196,219,228,224,205,178,153,130,110,96,120,180,184,181,180,180,188,190,192,193,194,193,218,230,214,195,179,172,193,214,218,210,196,171,144,119,102,101,159,185,183,182,181,180,188,189,192,193,194,192,207,225,210,196,184,175,194,206,201,188,171,153,133,112,104,148,184,184,183,182,181,179,188,190,193,193,195,193,203,216,200,198,190,177,192,200,188,166,147,137,120,112,152,184,186,185,184,183,181,179,191,192,194,194,196,195,204,216,203,199,188,177,186,195,177,148,130,121,112,154,186,188,188,186,184,183,182,180,191,192,193,195,196,195,207,229,216,195,181,178,177,183,160,129,117,108,148,187,190,188,188,187,185,184,183,181,191,192,194,194,201,194,191,235,222,194,181,179,167,170,142,115,104,133,186,190,190,189,188,187,186,185,184,179,190,192,194,194,213,239,184,195,212,191,183,174,162,160,126,101,97,167,192,190,189,188,186,187,185,179,169,161,189,190,192,191,219,252,232,153,214,212,200,188,169,156,127,103,100,173,189,189,186,185,189,189,173,152,158,153,146,147,145,149,229,251,248,152,155,217,209,194,171,153,134,121,112,127,135,133,142,176,194,183,165,125,168,162,104,103,99,137,246,251,251,166,118,210,202,184,163,147,130,118,113,107,94,111,172,199,187,167,168,114,150,173
23,132,132,133,133,135,135,135,135,135,136,137,137,136,136,136,136,136,136,135,136,135,134,133,133,133,132,130,128,136,136,136,138,138,139,139,140,140,140,141,140,139,139,139,138,139,140,139,139,138,137,136,135,135,134,133,130,139,141,141,143,142,143,144,144,145,145,143,143,143,142,141,146,146,143,143,141,142,141,139,139,138,137,136,134,144,143,144,147,146,146,148,148,148,147,154,145,147,151,147,117,138,153,145,145,146,144,142,142,141,140,139,138,148,148,148,150,149,149,151,153,149,155,186,160,149,167,152,119,85,135,156,149,148,147,146,145,144,143,142,141,151,151,151,153,153,152,154,156,151,175,175,143,81,99,90,115,116,98,122,155,151,151,150,149,148,147,146,144,154,154,155,156,156,157,158,158,159,184,165,129,65,132,141,124,96,77,88,160,154,153,154,153,151,150,149,148,156,157,158,158,159,160,160,158,171,170,169,109,122,170,126,156,151,138,154,162,157,157,156,156,155,154,153,152,159,161,161,162,163,163,165,163,173,165,170,175,181,158,79,120,182,165,164,163,162,161,158,158,158,157,156,155,162,164,164,164,166,158,147,152,156,165,168,166,160,150,80,65,147,168,164,165,164,164,162,162,159,158,157,157,165,166,166,168,164,142,116,126,136,139,135,134,129,115,79,21,35,142,175,166,166,165,164,165,164,162,160,159,166,168,167,166,170,161,158,146,152,144,131,125,106,53,45,23,13,119,182,168,170,168,167,167,166,165,164,163,168,169,171,167,166,172,170,160,138,91,87,94,90,40,42,22,28,159,176,170,172,172,170,170,168,167,165,165,171,172,173,170,155,157,176,159,90,62,18,68,104,41,43,22,68,185,174,175,175,174,173,172,171,170,168,166,173,173,176,175,155,150,182,155,75,26,8,96,109,47,39,6,87,191,175,177,176,175,174,174,173,172,170,167,174,175,177,177,156,148,184,162,100,32,32,84,55,38,24,10,68,188,177,179,178,178,177,176,176,174,173,172,177,177,179,179,153,150,193,166,100,55,10,5,1,10,17,25,61,186,180,179,179,179,178,178,177,176,174,174,178,178,180,177,146,165,197,165,104,70,22,0,15,21,30,31,83,192,181,180,182,180,180,178,178,178,177,176,179,181,183,177,148,167,187,167,113,75,51,31,46,46,46,35,96,197,181,183,182,182,180,179,180,179,179,178,181,185,185,184,152,157,170,150,102,76,65,39,52,52,51,36,121,198,183,186,184,183,183,181,181,180,179,178,184,185,187,187,156,149,153,135,108,103,72,44,52,52,51,42,163,196,186,186,187,186,185,185,183,181,180,179,185,186,187,190,162,153,152,134,115,103,68,48,53,60,42,81,198,190,189,187,188,188,187,186,185,184,182,180,185,187,188,190,168,167,151,132,105,83,60,52,55,57,49,167,199,190,191,190,189,188,187,186,186,185,184,182,187,187,189,187,173,180,157,137,117,84,57,49,51,51,155,203,193,192,192,193,192,190,188,187,187,186,185,184,187,187,192,185,174,180,155,142,124,77,48,48,36,129,210,193,195,193,194,193,193,192,191,189,189,187,186,185,187,190,194,187,173,159,143,129,103,54,41,43,53,188,197,196,196,194,194,194,193,193,192,191,191,188,187,186,190,191,193,183,174,144,130,125,115,51,46,40,88,204,196,198,196,195,196,196,195,194,194,193,191,191,189,188,189,191,192,181,184,148,127,141,143,58,50,40,105,212,196,198,197,197,197,196,195,195,194,193,192,193,189,180
0,185,187,189,191,193,194,195,198,197,196,196,197,197,196,196,195,194,194,193,193,191,189,189,187,186,186,184,183,186,188,191,193,194,195,196,198,198,197,198,199,199,198,198,196,196,195,194,194,191,189,189,188,188,187,186,184,186,189,192,193,195,196,197,199,200,199,200,200,199,199,199,199,198,196,195,195,194,192,190,186,176,185,187,187,188,189,192,194,197,198,199,201,201,201,202,201,201,200,196,182,183,196,186,169,183,193,196,186,139,172,189,187,188,191,194,196,198,199,200,201,202,203,201,188,173,186,179,139,116,147,154,121,116,181,201,180,119,171,191,188,189,193,195,197,198,200,201,196,187,198,200,164,120,112,149,136,109,84,116,123,93,142,196,167,112,175,192,190,192,194,197,199,200,201,201,186,141,134,181,159,122,90,130,145,125,93,111,130,101,129,185,160,102,162,194,191,193,195,198,200,200,203,204,186,153,112,147,168,131,106,126,156,129,98,107,131,100,106,173,149,89,131,195,193,194,196,199,201,202,212,203,197,170,131,118,173,137,107,108,156,126,93,100,126,95,74,143,141,87,99,192,193,195,197,199,200,207,207,188,206,174,139,101,156,136,103,94,152,123,82,80,103,83,70,124,142,88,98,192,194,196,198,200,202,219,214,172,192,167,143,93,128,136,103,83,139,111,70,61,78,70,84,144,137,84,122,197,195,196,199,201,206,217,202,171,170,143,114,75,108,128,92,69,100,82,63,68,78,69,102,148,132,83,150,198,196,197,200,202,207,211,189,159,157,122,84,67,101,98,74,67,85,78,62,78,79,78,128,148,129,87,174,198,196,197,201,202,205,223,217,189,154,112,97,77,101,98,62,66,101,83,74,100,96,104,142,149,116,93,190,199,197,198,201,204,207,224,224,206,173,125,105,85,114,116,77,96,122,127,143,145,138,127,137,123,94,102,198,199,199,199,201,204,208,224,226,211,188,153,123,112,110,119,153,177,178,176,170,155,146,126,106,94,74,118,203,200,200,198,202,204,207,222,225,211,185,161,133,122,134,158,190,188,188,176,164,151,138,118,87,78,71,158,203,201,200,198,200,203,205,216,220,208,188,171,144,129,148,171,189,185,181,168,155,144,127,107,82,68,126,198,202,201,200,198,200,203,206,212,216,205,191,175,152,139,159,168,179,181,171,157,142,130,115,95,70,106,194,204,202,201,200,199,202,205,207,208,213,204,192,176,155,139,148,159,166,175,161,147,133,119,103,79,89,182,206,204,203,202,200,199,202,204,207,207,209,204,191,176,154,133,128,144,151,158,150,138,124,105,82,83,171,206,205,205,204,202,201,200,202,204,207,209,208,205,191,178,152,121,114,128,135,133,128,122,106,84,83,161,206,206,206,205,204,202,187,200,202,205,209,211,205,189,183,168,136,109,112,119,122,112,102,97,85,114,173,207,208,207,207,205,198,143,88,184,187,187,160,183,212,189,175,157,139,127,122,113,112,98,83,70,131,186,195,194,194,186,178,180,128,60,43,122,124,111,54,125,209,197,182,165,154,138,119,100,99,86,68,63,107,116,117,114,96,74,63,67,49,37,33,115,114,85,60,78,150,178,179,169,151,128,106,90,84,72,55,72,99,90,70,51,36,30,33,34,34,30,27,118,111,75,67,62,71,105,140,148,135,110,92,80,71,55,36,52,73,51,36,31,28,23,23,28,33,30,28,117,102,71,67,62,58,56,75,101,101,85,72,62,53,35,15,6,21,33,25,24,26,22,19,22,29,30,29
12,74,79,89,104,109,116,120,126,127,130,133,135,138,140,143,145,146,147,148,150,151,152,152,153,153,153,153,154,75,80,90,105,111,118,122,127,128,131,133,136,139,141,143,145,148,148,149,151,152,153,153,154,154,155,154,155,76,80,91,105,112,119,123,126,129,133,134,135,140,145,143,148,141,150,152,153,154,153,154,157,156,157,156,156,77,81,94,107,113,120,124,127,131,134,138,149,116,117,153,159,109,100,154,150,153,158,155,159,158,158,158,158,77,83,96,109,115,121,125,129,135,129,166,165,124,92,135,162,122,80,105,118,99,144,163,158,159,159,160,159,78,85,96,109,116,121,126,130,135,130,185,173,140,108,115,163,133,107,75,115,88,92,161,160,160,161,162,161,80,86,100,111,116,122,127,131,134,138,187,190,155,113,110,167,137,112,71,104,108,72,134,167,160,161,163,163,81,88,102,112,118,123,129,133,129,155,163,181,168,117,102,171,137,107,67,101,106,74,143,167,163,163,164,164,82,88,102,112,120,126,128,127,136,162,158,148,153,109,84,150,135,97,65,103,99,78,156,167,165,165,165,165,82,89,103,112,120,124,135,176,186,129,91,98,132,93,69,115,105,82,69,102,90,88,166,165,166,165,166,166,82,91,107,113,120,119,170,207,162,112,90,67,116,93,64,99,93,77,67,91,81,94,170,165,168,167,167,167,83,93,106,114,120,127,182,155,143,117,102,68,100,125,72,94,121,90,76,115,95,102,175,166,168,168,169,169,84,94,108,116,117,140,177,126,130,129,106,80,56,91,55,70,116,87,77,133,114,73,124,176,168,170,169,170,84,94,109,115,116,149,171,131,109,129,104,94,45,31,54,80,86,80,106,112,90,70,80,167,171,170,170,170,84,96,109,115,116,152,187,145,116,104,95,82,41,50,94,131,137,128,128,111,95,90,91,169,172,170,170,170,85,99,111,118,115,159,186,145,128,97,79,72,58,81,131,155,155,146,131,107,99,85,116,177,170,171,171,171,86,100,113,119,116,160,182,154,135,105,89,108,102,133,162,165,161,141,118,104,89,76,148,176,171,172,173,173,87,100,112,119,119,155,174,150,132,108,108,118,111,163,164,164,160,133,111,101,82,96,174,171,173,173,173,173,88,102,111,120,122,144,172,146,129,112,111,103,117,157,155,161,150,122,104,96,78,134,179,171,174,173,174,174,89,103,111,119,125,137,170,142,130,121,114,112,134,151,155,154,135,113,99,87,85,165,174,173,174,175,176,176,90,105,114,120,128,131,162,147,140,139,125,118,139,148,150,136,118,103,93,79,114,178,172,174,176,176,177,176,92,105,113,121,129,128,153,157,142,136,123,112,121,136,136,118,100,93,89,83,156,176,173,174,176,177,177,177,94,107,113,121,128,131,145,166,136,129,117,105,101,114,113,104,90,92,80,122,178,172,175,176,177,177,177,177,94,107,113,122,128,133,139,172,148,126,108,99,104,105,104,99,89,86,89,166,173,174,176,177,177,178,178,178,93,108,114,121,128,133,137,170,161,130,110,109,117,105,105,103,90,72,120,179,172,175,177,177,178,178,178,178,95,107,114,121,130,131,148,181,172,139,128,123,122,105,97,93,85,63,130,181,172,176,177,177,178,179,179,179,96,109,115,123,125,150,173,166,190,145,135,123,117,103,92,84,81,60,132,181,172,176,177,177,178,179,179,179,97,109,116,124,126,180,186,140,175,151,139,121,112,100,83,82,79,61,142,180,173,177,178,178,179,179,179,179
13,132,135,140,143,144,146,148,150,152,155,154,154,155,157,157,157,157,157,156,156,155,153,152,151,150,150,148,147,133,136,141,144,146,148,149,152,154,156,157,156,157,158,158,158,157,159,159,158,158,156,154,154,153,152,150,148,133,138,143,145,147,148,150,154,157,157,159,160,160,161,162,164,166,160,160,165,163,156,157,157,155,153,152,152,134,139,143,146,148,151,152,155,158,158,160,162,162,162,158,132,131,167,157,132,136,162,158,158,157,156,155,153,135,139,145,148,149,151,154,156,158,159,161,164,162,165,150,113,75,117,135,99,55,114,169,158,158,157,156,154,136,141,145,149,150,151,155,157,159,161,162,164,163,171,173,132,108,54,103,113,63,53,168,161,160,159,158,156,137,141,147,150,151,154,157,159,161,163,163,164,165,167,181,141,108,48,77,113,73,37,155,166,161,160,158,157,138,143,147,150,151,154,158,161,163,164,166,166,167,167,166,140,96,53,48,86,59,28,149,168,161,161,161,160,138,142,147,152,153,155,159,162,163,166,166,167,163,174,160,139,91,63,37,75,54,28,151,168,163,163,163,160,138,144,149,153,154,157,160,162,165,167,168,157,108,99,102,125,122,83,46,91,71,39,164,167,166,164,162,160,139,145,149,152,154,158,160,163,166,166,179,147,93,70,57,122,156,103,52,80,76,21,136,176,165,165,164,162,140,145,150,153,156,159,161,164,166,163,150,142,107,100,56,60,140,93,44,57,53,30,67,175,167,166,165,164,140,145,151,155,157,159,163,162,167,152,83,87,132,107,84,13,25,18,38,56,49,67,42,123,180,165,165,165,140,145,151,156,157,159,161,167,184,134,90,62,117,117,89,52,0,11,25,53,85,87,64,59,175,168,167,165,139,146,152,156,158,160,161,179,157,125,107,90,75,117,94,76,13,28,74,85,101,92,74,37,155,174,167,166,141,147,152,156,158,160,164,182,132,119,117,94,65,95,98,65,19,29,113,130,119,78,66,38,157,174,168,168,142,147,152,158,159,160,165,179,140,90,90,86,65,46,68,38,19,46,125,128,122,84,45,52,175,171,170,168,142,148,154,158,161,161,166,168,148,115,78,58,31,1,41,57,38,87,146,124,113,82,30,81,186,170,171,168,143,149,154,158,160,162,166,169,166,139,101,70,51,41,54,65,74,152,149,117,98,76,23,118,186,172,171,169,143,150,155,159,160,164,166,166,163,149,121,106,83,80,96,118,143,160,136,109,86,65,27,152,180,172,172,170,143,149,156,159,160,164,165,167,159,141,123,99,78,78,103,161,154,141,121,99,77,48,40,176,177,174,173,171,143,150,155,159,160,163,166,170,146,129,121,100,84,86,94,142,145,133,108,84,69,32,64,189,175,176,173,172,143,149,155,160,162,165,167,174,152,132,122,104,98,91,92,136,142,130,100,71,59,15,114,191,176,176,173,172,143,150,156,159,161,164,166,173,170,133,122,115,101,87,83,118,131,115,82,56,35,33,175,180,178,175,174,172,144,151,157,159,160,163,167,171,176,157,126,114,97,86,78,99,115,100,69,53,14,105,192,176,177,175,174,173,144,150,157,160,161,164,167,170,173,177,146,114,93,81,82,90,107,97,69,48,25,163,184,179,178,177,174,172,143,149,156,159,161,162,167,169,172,172,158,127,109,101,105,100,103,100,64,35,66,186,177,178,177,175,174,172,141,148,154,157,159,161,166,168,172,165,163,137,125,123,115,106,103,90,60,28,105,191,177,176,175,174,173,171
21,117,119,122,123,123,123,123,125,126,125,126,130,127,127,127,127,126,126,126,127,126,125,124,124,122,121,121,120,121,123,127,127,127,127,127,128,129,131,127,106,130,130,130,130,130,130,130,131,130,129,127,127,125,124,124,123,125,126,129,130,131,132,131,132,132,133,141,69,108,141,132,135,134,133,133,132,132,132,131,129,129,129,128,126,128,130,131,132,134,135,135,136,136,137,147,74,87,147,136,138,139,139,135,136,135,134,133,132,132,132,130,129,132,133,136,136,137,137,138,140,139,140,149,75,70,149,140,130,99,129,143,139,139,137,137,136,135,135,133,131,135,136,139,140,142,143,143,143,143,142,155,95,65,146,144,129,75,83,153,141,142,140,139,139,139,138,136,135,138,141,143,144,145,145,146,145,147,143,162,132,65,135,153,127,81,67,151,146,145,144,143,142,141,140,138,136,141,143,145,145,147,147,148,149,150,146,165,140,65,118,158,126,83,63,143,153,148,147,146,145,143,143,142,140,144,145,148,149,149,150,151,151,151,147,168,154,81,104,162,135,108,70,138,155,150,150,150,149,147,146,145,143,146,149,149,151,151,152,153,153,152,152,143,137,111,91,164,131,106,71,134,158,152,152,151,150,149,149,147,145,149,152,151,151,153,153,154,155,154,160,138,94,90,85,161,128,118,69,133,163,155,154,153,152,152,151,150,147,150,152,153,154,155,156,156,158,155,173,163,115,49,60,160,136,136,84,136,165,157,156,156,155,154,152,152,151,151,154,156,157,158,158,159,159,159,174,172,117,79,113,114,102,115,92,98,168,158,159,158,157,156,155,154,152,154,156,158,158,158,161,162,160,154,139,156,122,70,96,84,99,92,94,76,142,166,160,160,159,158,157,156,154,156,158,160,162,162,163,163,164,147,82,109,142,55,17,69,85,58,131,98,102,172,161,163,161,160,158,158,157,158,160,162,164,164,165,163,168,158,107,62,145,92,30,45,31,99,165,132,80,154,167,163,163,162,161,160,158,159,162,162,163,164,164,169,158,153,139,61,128,120,33,55,117,102,150,143,80,101,176,162,164,163,162,162,161,161,162,163,164,165,166,168,174,139,132,73,51,60,20,54,151,143,130,106,70,60,164,167,164,163,162,162,162,162,163,164,165,168,168,167,162,121,119,74,38,27,40,98,155,158,127,79,58,61,162,169,166,165,163,163,163,163,165,165,168,170,170,166,161,154,104,97,76,44,87,151,165,149,122,81,50,83,178,168,168,167,165,164,164,164,165,167,169,170,172,167,172,144,123,109,95,57,121,173,162,151,119,78,39,126,182,168,169,168,167,166,165,165,167,168,169,170,172,170,172,157,136,97,142,126,166,177,169,151,101,65,45,160,176,171,170,169,169,167,166,166,168,169,170,171,172,172,168,168,125,122,140,152,181,188,178,135,85,47,71,181,171,173,172,171,169,168,168,166,169,169,170,172,172,174,157,159,141,137,122,146,171,181,162,113,77,39,111,188,174,173,172,172,170,170,168,166,168,169,171,172,172,174,153,153,148,140,123,139,157,155,130,87,61,44,158,181,175,175,174,172,171,173,173,164,167,169,170,170,171,176,166,143,141,135,133,122,128,133,100,65,38,100,186,176,176,175,175,173,171,170,159,166,168,170,170,171,171,174,176,144,139,134,138,115,113,121,85,51,47,166,178,177,176,175,175,174,173,170,95,167,168,170,171,172,173,174,178,151,133,121,122,107,103,108,80,35,77,183,175,178,177,177,173,179,143,108,69
2,188,187,188,187,188,189,188,188,187,186,186,187,187,186,184,185,183,182,181,181,181,180,184,110,66,70,66,69,190,189,190,190,190,191,191,191,189,190,190,191,187,188,189,183,189,188,188,185,185,182,189,142,68,75,61,72,193,193,194,193,193,194,193,194,194,194,194,192,192,197,185,125,131,173,161,191,189,185,190,161,73,59,45,69,195,196,197,198,197,198,198,197,197,193,197,199,199,167,121,94,73,110,90,158,191,187,189,178,89,43,51,78,200,199,200,201,200,200,201,201,198,205,214,204,127,90,77,72,70,82,75,71,163,197,188,197,114,27,39,67,202,202,203,203,203,202,202,202,203,217,205,145,79,69,66,61,57,65,75,63,157,201,190,199,142,118,88,51,205,205,206,207,206,206,205,200,211,225,141,81,63,56,65,60,52,59,58,85,186,200,195,198,173,128,183,163,208,207,207,207,208,208,207,199,225,206,111,72,62,54,57,63,71,102,142,185,202,200,198,208,149,128,218,188,210,210,210,208,209,210,207,209,230,169,99,70,78,67,68,75,156,210,210,206,201,202,199,209,159,161,210,132,211,212,211,212,211,212,208,226,212,147,86,64,74,66,94,178,213,206,205,207,206,205,203,204,193,175,131,128,213,213,213,213,215,211,214,236,201,142,98,79,67,67,157,227,207,210,208,209,208,207,205,204,205,195,136,196,216,215,214,215,217,212,229,241,187,131,97,91,74,69,182,219,211,211,211,211,209,208,207,208,205,200,193,179,217,217,216,217,217,212,243,229,173,116,90,88,79,95,214,216,215,213,212,211,210,209,210,209,209,202,201,207,218,217,217,219,213,217,249,213,166,115,86,80,76,126,226,215,216,215,214,213,213,212,212,211,210,208,200,179,220,219,219,220,207,236,242,200,153,109,87,82,75,132,229,215,217,216,216,216,215,212,212,212,211,210,214,170,222,222,223,217,217,249,226,186,141,101,86,87,69,162,232,215,218,218,217,217,217,217,217,215,217,215,211,211,222,221,224,209,230,250,217,175,130,99,81,75,66,130,230,220,219,218,221,223,217,201,188,178,173,197,216,211,223,223,224,209,245,241,207,165,123,98,73,69,83,76,139,235,229,225,210,188,169,174,170,158,137,104,195,217,223,227,213,225,250,234,196,152,116,96,62,71,86,92,83,157,193,171,160,172,174,170,149,128,139,139,198,218,226,223,211,247,245,225,181,142,109,87,59,89,97,107,112,104,115,144,174,178,155,115,115,179,218,224,220,216,230,216,234,252,239,213,172,136,105,85,69,103,113,121,120,120,129,149,149,126,112,124,205,230,220,218,218,218,216,228,248,239,229,205,163,122,99,86,83,110,123,125,123,115,116,111,113,158,204,225,226,222,222,221,220,218,215,237,241,234,224,191,147,111,98,86,100,121,127,123,112,99,88,138,213,233,229,224,223,224,223,223,222,222,228,234,233,217,194,159,124,103,97,89,108,119,122,108,93,119,180,233,235,228,226,226,227,226,223,222,221,222,226,227,214,191,167,142,114,101,94,98,105,115,110,85,145,230,237,230,230,230,227,227,228,225,225,224,223,222,224,215,190,164,155,126,106,100,100,103,100,94,98,164,237,234,231,231,231,232,231,230,228,227,227,227,225,224,217,205,170,134,124,101,98,104,102,96,95,142,210,241,231,233,233,233,233,232,232,231,231,230,230,227,227,219,210,191,152,115,94,92,99,103,92,137,199,241,240,232,235,234,233,234,233,232,232,232,232,231,230,229,229,195
1,69,0,40,55,61,70,89,106,117,123,128,131,133,137,141,145,151,149,151,154,156,157,157,159,160,159,160,161,59,0,46,55,62,72,92,108,119,125,130,132,135,138,148,143,113,153,157,155,156,158,158,160,161,161,162,162,46,3,51,56,64,75,97,112,120,126,132,135,137,137,164,146,68,133,136,157,158,160,161,162,162,162,162,162,34,9,53,56,66,76,100,114,121,127,134,135,145,136,154,141,81,133,88,149,163,161,163,163,164,163,163,163,22,15,55,58,68,79,102,115,123,130,136,132,165,123,130,135,88,147,88,138,168,162,164,165,165,165,164,165,10,23,55,59,69,82,105,117,124,130,136,137,171,111,139,137,93,149,88,126,171,163,166,166,167,166,166,167,1,31,56,61,70,85,107,117,124,130,138,142,174,96,135,133,89,153,97,122,172,164,167,168,169,169,168,169,0,39,58,63,72,89,109,118,127,131,156,124,159,90,138,134,89,144,94,119,176,167,170,170,170,171,170,171,1,44,58,63,74,91,110,120,125,145,150,102,148,94,163,134,87,154,103,113,178,169,172,172,172,172,172,172,6,49,59,64,73,93,112,121,124,165,130,97,140,100,172,122,94,179,110,114,178,170,173,174,173,174,174,174,11,52,59,66,76,97,114,123,130,177,108,115,147,99,148,95,94,171,98,118,179,172,176,176,175,176,177,176,17,55,59,67,78,98,115,122,141,178,90,114,126,84,136,80,111,164,89,122,180,173,177,176,177,178,177,178,23,57,59,69,79,99,116,118,154,176,85,100,133,127,124,148,153,153,88,126,182,175,178,178,178,179,179,179,29,59,62,70,81,102,117,118,170,158,98,105,159,145,122,149,140,139,83,124,186,176,180,181,180,180,180,180,35,60,62,70,83,105,116,122,182,168,149,142,171,163,150,133,121,114,78,123,187,176,180,181,182,182,182,181,40,59,62,71,84,107,114,138,194,151,142,145,135,135,171,168,145,119,74,121,187,177,181,182,184,184,183,183,47,59,65,72,85,109,110,162,186,129,108,104,77,102,167,165,158,139,83,113,189,177,181,183,184,185,184,184,51,60,66,74,88,112,111,175,177,129,125,132,121,167,178,167,142,123,81,84,187,182,184,184,185,185,186,185,55,60,66,74,90,114,113,174,183,144,130,135,171,205,184,159,129,94,76,60,167,188,185,186,186,186,187,186,56,59,67,74,91,113,114,167,195,161,141,135,172,208,185,148,122,82,66,57,163,190,185,187,188,187,187,187,59,60,69,75,92,112,115,156,197,161,145,136,163,200,176,143,111,84,59,76,185,186,187,189,188,189,189,190,59,61,70,77,95,113,120,146,190,159,151,140,147,184,168,138,102,82,53,126,196,186,189,189,191,191,191,191,60,61,70,77,96,113,123,136,179,164,161,150,165,178,149,119,92,74,64,170,190,190,191,191,192,192,193,192,59,62,69,78,98,113,123,132,163,165,158,144,154,162,130,104,88,64,86,190,188,191,191,192,193,193,194,193,59,62,69,76,98,113,124,133,148,162,152,143,129,132,119,98,89,58,105,195,188,191,193,195,195,194,194,194,59,62,69,75,97,110,122,132,138,160,154,139,131,129,129,111,88,55,133,193,185,189,192,193,193,193,193,193,59,60,67,75,97,109,121,128,159,166,157,154,143,131,122,109,81,52,147,194,185,189,191,192,193,194,194,194,59,60,66,75,97,109,122,131,184,179,133,156,144,127,103,91,78,46,130,195,184,190,192,194,194,194,194,194
23,188,191,194,197,201,203,206,208,209,210,210,209,209,210,209,207,207,207,206,205,203,202,203,202,201,203,218,229,191,195,199,202,204,209,211,212,213,214,214,214,214,214,215,213,214,211,208,207,207,207,206,205,203,205,189,185,194,199,203,206,209,214,216,217,218,219,220,220,219,216,215,215,211,214,218,212,210,211,211,208,207,208,196,139,198,203,207,211,214,218,221,223,223,225,225,224,223,233,248,249,219,184,203,215,218,215,214,212,211,210,214,177,202,206,211,215,218,221,225,227,229,229,231,255,255,255,255,255,239,220,211,209,203,222,219,217,215,214,212,212,205,208,213,217,220,225,228,231,233,232,244,255,240,215,208,164,178,201,197,165,173,227,222,220,219,218,217,214,207,212,216,219,223,229,231,234,236,233,255,255,237,135,152,198,216,196,175,178,220,230,226,224,223,222,220,218,209,215,218,222,226,230,234,237,238,240,255,254,232,179,213,219,249,242,241,242,236,233,232,231,227,225,223,222,212,216,220,225,228,232,236,240,240,249,255,248,255,255,233,134,223,248,238,235,238,236,236,235,233,229,228,225,214,218,222,227,230,235,238,242,241,255,255,255,255,255,226,137,206,243,249,246,242,239,240,239,237,234,231,235,215,221,224,228,234,236,240,243,242,255,255,255,253,246,202,201,255,190,193,225,241,250,242,242,241,237,243,194,218,223,226,230,236,239,241,243,255,255,255,239,216,234,216,226,255,194,124,115,142,222,251,244,242,244,232,113,220,225,229,233,237,239,246,255,255,255,241,244,251,255,255,208,203,188,128,114,111,159,255,244,241,254,178,101,220,226,231,235,237,254,255,255,255,255,255,255,255,252,234,193,130,175,144,127,120,161,255,250,255,252,128,105,222,228,233,236,240,255,250,248,244,241,252,249,232,217,207,176,109,107,130,129,116,177,255,230,204,157,109,107,224,230,234,237,245,255,255,234,228,235,237,237,233,225,215,173,118,85,119,138,131,142,156,119,92,92,104,105,226,231,235,238,246,255,254,238,239,247,252,249,227,211,197,154,120,97,142,162,147,94,77,100,97,99,101,101,228,231,235,240,243,252,255,254,254,242,244,200,175,181,172,146,118,95,120,158,146,102,81,82,82,102,98,96,228,232,237,242,245,249,255,252,244,225,199,158,110,128,173,149,110,107,130,144,132,92,91,86,80,86,93,88,229,234,238,243,247,246,246,255,255,209,164,136,102,134,187,141,98,116,134,140,114,89,85,87,89,82,83,86,229,234,238,243,246,243,239,255,250,166,133,99,108,145,134,105,115,132,131,130,99,93,92,77,79,88,86,88,230,234,238,242,246,241,236,255,226,167,140,109,85,87,93,115,133,143,142,116,82,90,95,83,70,76,79,93,230,235,239,243,247,236,238,255,226,172,148,116,90,99,127,141,149,149,141,107,73,78,93,93,75,69,75,80,229,234,239,242,247,232,248,255,233,179,153,127,108,111,143,150,152,146,130,95,75,78,83,94,83,67,74,71,235,240,244,249,254,239,244,255,231,190,158,140,119,111,131,150,152,147,115,76,78,78,80,84,91,74,67,73,200,207,212,217,225,218,244,250,228,190,160,150,127,120,119,147,154,144,94,68,80,74,75,79,82,83,63,66,146,148,150,152,147,165,243,241,218,181,162,165,129,124,125,139,150,112,86,80,77,72,67,76,76,80,71,60,158,158,159,162,148,151,244,227,200,169,176,169,129,126,125,138,110,71,87,83,82,76,65,67,74,75,74,58
7,229,228,229,228,227,228,228,229,228,227,225,225,220,188,222,217,200,183,174,167,149,134,121,81,61,23,71,195,231,232,232,232,230,231,230,229,229,230,229,227,226,213,219,224,203,177,146,137,115,86,69,46,41,16,87,203,233,233,234,234,234,235,233,234,234,234,232,231,227,214,223,224,210,190,144,110,76,52,37,29,25,28,88,205,236,236,236,237,238,238,238,238,238,236,232,230,238,222,218,222,214,209,204,188,154,106,61,37,43,35,88,207,236,237,236,236,237,237,239,239,237,236,235,239,193,198,226,219,212,214,218,209,212,159,86,59,57,42,92,209,239,238,238,237,238,238,239,239,239,238,242,230,135,157,238,226,215,216,220,205,211,160,61,66,64,53,84,210,240,239,239,241,240,239,240,240,240,236,248,198,156,234,200,217,219,207,221,211,202,138,66,71,72,70,42,106,244,242,243,242,243,244,243,244,245,245,245,195,241,255,212,149,203,204,206,199,180,123,77,74,78,73,31,46,246,244,246,245,246,250,250,242,231,219,220,255,255,255,255,209,155,184,199,192,173,137,94,82,84,73,25,45,245,245,248,250,247,234,214,196,184,166,118,112,148,180,193,183,150,133,156,173,170,144,103,91,90,69,49,152,251,248,236,223,203,188,185,180,177,165,110,74,97,120,124,118,128,128,105,107,126,121,107,103,88,62,89,197,215,201,189,183,183,189,185,178,174,148,105,94,95,105,114,119,124,126,106,88,105,92,102,100,95,71,129,141,188,191,196,194,191,194,193,196,185,159,112,88,98,110,114,112,120,116,97,89,95,95,106,104,142,113,178,98,201,197,198,192,195,201,202,197,188,169,108,76,96,113,129,123,123,118,109,101,92,111,100,98,121,115,108,28,196,197,202,202,199,194,194,186,179,142,90,91,103,107,112,113,113,111,110,97,97,118,105,101,95,113,127,94,208,206,201,200,195,196,195,187,182,140,77,75,75,68,73,79,89,93,86,95,89,97,98,90,89,99,121,104,206,206,199,197,198,201,187,183,200,168,76,58,60,54,94,109,92,152,184,131,133,79,77,97,87,81,68,66,193,196,199,193,192,190,178,189,194,148,81,66,71,66,65,81,95,124,139,108,91,104,110,113,46,59,88,54,183,182,190,187,180,178,175,178,172,122,74,76,75,74,67,63,182,194,113,84,82,119,187,62,0,16,103,118,177,176,175,179,178,174,173,176,175,113,64,50,70,83,66,100,164,80,110,84,80,125,117,3,62,46,90,163,173,175,171,176,176,174,175,174,175,112,59,41,44,66,58,72,92,65,74,71,76,88,81,94,101,87,106,159,175,165,154,157,155,153,157,155,139,97,59,48,60,75,70,67,136,76,140,118,97,81,132,82,57,62,105,151,152,155,139,123,117,116,114,107,79,69,68,121,115,88,107,80,110,113,157,69,54,37,130,97,69,82,68,110,126,133,117,100,89,95,97,94,129,197,198,203,156,118,110,103,62,61,130,48,74,32,65,122,65,89,57,73,114,116,135,146,155,163,209,178,191,202,205,163,186,218,217,109,77,59,93,96,62,49,124,71,66,91,55,70,172,115,237,255,240,198,240,126,194,167,196,211,200,196,224,158,54,125,77,75,46,116,228,113,65,91,67,63,175,125,197,235,238,216,217,102,177,140,183,204,197,198,202,187,126,185,176,106,18,148,207,131,122,179,103,58,136,146,217,241,248,251,214,157,97,120,185,193,183,155,170,180,193,170,194,139,31,139,173,122,166,202,154,74
12,165,167,168,170,171,170,171,171,172,173,172,171,171,170,172,174,169,166,167,165,164,164,161,160,159,158,156,153,167,171,172,172,173,174,173,173,174,174,175,175,173,172,161,145,159,172,166,166,166,164,162,161,161,159,157,155,169,171,172,174,174,175,176,176,175,175,174,160,171,175,124,94,72,148,177,170,171,168,164,163,163,162,158,156,171,173,174,175,175,175,176,177,175,177,157,107,87,133,136,109,70,79,157,121,108,144,171,163,163,161,159,157,173,175,175,175,176,178,177,177,175,185,155,121,83,73,152,118,92,67,64,93,76,52,145,172,164,163,161,159,173,174,176,176,178,178,180,179,177,190,166,136,113,64,145,130,101,73,42,88,84,34,78,179,165,164,162,160,174,176,176,177,179,179,180,179,184,192,182,145,119,66,116,136,104,78,32,83,80,43,48,176,167,165,164,162,177,179,178,179,180,180,181,179,192,169,192,153,120,75,83,136,105,79,33,68,88,44,51,177,166,167,165,164,177,178,179,179,179,181,177,176,165,102,152,161,112,83,67,138,108,82,40,59,90,42,68,182,166,169,166,165,176,178,179,180,180,177,176,183,147,83,74,155,118,82,46,131,121,89,54,33,73,35,110,183,168,169,168,166,178,180,181,181,180,192,192,170,119,81,42,126,121,70,34,119,153,115,70,30,55,26,132,181,171,171,168,167,179,180,182,181,190,191,164,151,108,95,47,102,123,82,47,130,171,123,72,40,63,44,155,179,173,171,169,168,180,181,181,180,204,180,134,151,117,104,57,68,135,122,68,94,147,96,48,39,70,40,138,186,173,172,170,168,181,181,180,189,185,158,113,111,128,98,57,43,142,132,95,29,28,27,22,60,70,20,65,189,173,173,172,169,181,182,182,190,175,142,114,70,110,105,78,34,115,132,86,33,8,46,57,58,38,29,34,171,179,174,172,171,179,182,183,187,189,161,133,93,77,119,79,39,17,76,79,36,60,87,102,82,49,36,50,177,176,175,172,172,181,184,185,187,192,167,137,108,71,96,71,60,12,82,152,125,116,106,113,88,57,18,100,191,175,177,173,171,182,184,187,189,195,177,146,118,88,65,84,93,54,145,183,165,137,114,106,79,50,14,141,189,177,177,174,171,182,184,186,191,187,167,143,117,87,66,73,88,110,178,173,153,129,110,92,74,39,23,169,183,179,177,174,173,184,185,187,189,173,157,143,117,81,92,64,99,161,170,161,141,121,103,84,69,21,81,194,177,179,176,175,174,184,186,188,186,173,160,146,113,84,106,86,147,164,163,154,131,112,93,75,46,36,174,185,180,179,178,175,174,185,187,188,189,177,158,147,119,100,96,99,153,153,161,150,125,98,80,69,21,93,200,180,182,180,180,178,175,185,188,188,190,180,163,150,131,107,83,96,151,147,150,133,112,84,67,50,15,161,192,186,182,181,180,178,177,184,188,189,190,187,173,152,127,105,78,88,136,136,131,116,91,67,58,18,74,201,186,185,183,181,180,179,178,185,188,190,190,189,172,149,130,110,92,89,122,126,109,95,79,59,36,22,172,192,186,185,182,182,181,180,178,187,188,191,190,193,165,136,122,105,103,93,113,128,111,90,73,55,8,121,201,185,187,186,183,181,181,182,179,187,188,191,189,192,163,140,131,122,121,107,113,124,107,86,67,30,58,197,189,189,187,186,186,183,181,181,180,188,189,190,184,188,164,144,144,135,124,114,115,121,100,64,52,21,144,201,189,191,189,187,187,185,182,180,179
19,170,171,172,175,174,175,177,178,178,178,179,178,177,177,176,178,179,176,176,175,175,174,173,173,172,171,171,171,171,173,173,176,177,178,179,179,179,179,179,179,179,177,177,161,163,180,177,176,177,176,176,176,174,173,172,172,172,174,176,178,179,179,180,180,181,181,181,180,178,187,182,145,105,167,181,177,177,178,178,177,175,173,172,173,172,174,177,178,179,180,181,181,180,180,181,182,178,196,181,150,99,139,188,177,178,178,178,178,176,175,175,174,174,176,179,179,180,181,183,183,182,182,183,183,181,200,176,152,101,129,189,178,179,179,179,178,177,176,176,176,176,178,179,181,183,183,185,184,185,184,184,184,185,199,167,144,94,124,191,179,181,180,178,177,178,177,177,177,177,179,181,183,184,184,185,185,185,185,185,183,188,199,154,122,90,126,190,175,177,172,183,189,165,178,178,178,178,180,183,183,185,185,186,185,185,185,186,183,187,194,165,146,160,176,182,171,187,172,207,216,130,177,178,179,179,181,183,184,186,188,188,187,186,186,190,192,190,183,184,182,197,200,188,175,186,179,169,153,138,184,179,179,181,183,184,186,187,188,188,187,193,200,205,210,206,190,171,164,164,163,152,136,129,128,127,143,179,182,182,181,183,185,185,188,186,194,196,192,203,210,209,202,187,178,170,163,131,100,118,134,153,164,181,188,183,183,183,181,184,185,187,188,193,211,202,197,195,194,194,192,192,191,191,194,150,101,185,190,192,189,186,184,183,183,183,182,185,186,190,187,201,214,205,202,195,197,202,203,200,194,191,181,143,89,176,189,185,186,186,185,185,183,183,183,186,188,191,189,198,214,203,196,200,207,206,207,199,188,185,168,127,80,142,197,186,189,187,186,185,185,184,184,188,190,191,190,198,210,191,188,194,202,205,193,184,192,198,197,145,83,100,192,190,189,189,187,186,186,185,184,189,190,193,191,205,199,184,186,186,175,175,194,207,199,192,200,146,86,81,174,195,190,189,189,188,188,186,185,189,192,194,193,204,185,186,191,188,176,195,205,192,183,184,177,131,90,71,158,199,190,190,190,189,189,189,188,189,192,194,194,198,199,203,201,205,209,206,194,187,182,171,150,113,86,70,172,197,191,192,191,191,190,189,188,190,193,195,196,194,214,213,201,198,200,199,188,173,169,182,188,149,72,128,201,192,192,192,193,192,191,190,189,191,193,195,197,193,205,214,194,188,180,156,150,184,203,202,203,169,84,155,203,192,194,192,193,192,191,191,191,192,195,196,198,198,192,204,189,183,174,169,191,212,195,174,170,149,87,111,205,194,196,193,195,193,192,191,191,193,195,197,199,200,195,194,207,205,198,203,204,190,173,163,153,125,70,139,206,195,196,196,195,193,192,191,190,192,195,197,199,203,198,192,208,208,188,186,187,176,162,144,114,108,144,193,199,197,197,197,196,194,193,194,192,192,195,197,199,202,199,189,196,197,176,176,168,151,132,103,76,174,210,198,199,198,197,197,196,195,195,194,192,192,194,196,198,201,197,183,191,188,164,156,140,119,101,88,78,159,206,197,197,197,197,196,195,194,194,194,192,193,196,197,199,201,201,179,182,181,157,145,142,129,94,90,79,116,209,197,198,198,197,195,196,195,194,194,192,194,197,198,200,202,200,181,175,173,156,137,123,108,91,89,78,114,209,198,198,198,196,195,196,196,194,193,192,194,197,199,201,202,198,180,181,168,165,144,120,100,95,91,77,122,211,198,200,199,197,197,197,197,196,195,194
13,156,158,165,170,175,178,181,184,187,189,191,192,194,195,196,196,197,197,196,197,197,196,197,196,195,194,191,193,157,159,165,171,176,179,182,185,187,189,191,193,194,196,196,197,197,197,197,198,199,198,197,197,196,196,193,193,158,160,166,172,177,181,183,186,189,191,193,194,196,197,198,197,199,198,199,201,201,200,199,199,198,196,194,195,159,161,168,173,177,181,184,188,190,192,195,194,196,195,197,202,200,200,200,201,201,200,200,199,199,197,197,197,159,162,168,175,179,182,186,189,191,193,195,196,232,211,160,186,205,199,202,205,202,202,201,200,200,199,198,197,159,162,168,175,180,184,187,189,191,192,192,207,255,241,178,154,210,206,180,181,206,201,202,203,203,200,199,198,160,164,169,175,181,185,188,190,188,203,199,193,255,245,203,152,171,190,159,115,187,208,202,204,203,201,201,199,160,164,169,174,181,186,188,185,208,245,199,166,208,215,187,120,152,149,125,101,151,213,202,204,203,203,202,201,161,164,171,176,181,182,203,188,214,253,212,162,183,203,170,118,163,132,104,97,146,215,203,205,205,204,204,202,162,166,173,178,179,194,250,194,158,233,232,179,146,210,209,194,181,152,100,81,151,216,205,205,205,204,203,203,163,167,174,180,174,224,253,210,159,186,239,191,120,130,204,209,192,194,160,86,167,216,207,206,206,205,204,204,164,166,173,179,180,228,235,224,177,143,226,195,144,64,118,159,188,208,210,144,173,217,207,208,208,207,205,204,161,166,171,175,184,232,216,221,186,129,189,214,156,78,74,97,175,232,233,205,140,197,211,207,206,204,205,204,161,165,172,172,199,252,215,213,201,138,132,219,160,84,79,169,209,209,212,204,143,148,217,207,207,205,204,204,162,166,174,170,235,247,204,187,199,156,95,190,186,135,187,231,215,208,185,165,166,124,200,211,209,207,206,205,163,168,175,170,241,249,215,173,169,195,125,157,229,239,233,213,204,198,171,146,151,126,194,212,208,208,207,206,162,166,174,171,245,254,227,212,188,193,212,229,245,245,219,203,201,176,155,136,120,156,214,208,208,209,208,205,159,165,172,173,248,255,236,225,211,194,219,242,242,237,210,188,180,161,149,118,126,203,211,208,207,207,206,205,163,168,175,173,241,255,243,224,210,196,213,238,237,221,195,170,160,159,133,117,191,219,213,214,211,210,210,209,145,146,152,141,214,255,244,230,212,202,216,235,220,190,176,165,163,146,116,123,157,154,154,152,151,150,149,150,115,115,121,105,162,255,242,232,216,210,213,228,209,176,161,168,157,128,115,112,108,106,106,105,104,104,103,102,123,125,126,121,136,245,235,231,217,204,205,226,211,167,148,152,134,117,117,119,119,116,115,115,114,113,113,112,123,124,126,126,122,228,228,231,224,206,200,222,206,152,137,134,119,116,118,116,116,118,117,115,114,114,114,112,126,126,126,128,116,212,230,236,232,213,194,215,203,149,134,124,116,120,119,117,116,116,117,116,115,115,114,112,127,129,128,130,113,200,239,244,240,223,190,206,207,155,130,116,116,121,119,117,116,116,116,114,114,115,113,112,126,128,128,132,117,174,248,247,241,222,190,198,208,157,126,111,116,122,120,118,117,118,116,114,116,115,113,106,126,127,127,127,123,143,241,236,217,204,189,191,200,157,125,109,118,122,119,118,117,121,116,113,115,116,105,176,126,127,128,128,128,126,231,232,199,197,200,183,189,162,126,108,116,122,120,118,118,121,116,114,116,107,151,240
16,216,216,216,216,217,218,219,219,219,220,219,218,219,221,220,221,220,220,220,221,221,219,220,221,221,219,221,220,217,218,218,219,219,220,219,220,221,221,220,220,220,220,220,222,221,221,222,224,224,222,222,224,223,222,223,221,218,218,219,221,221,220,220,221,223,224,222,223,222,222,223,221,223,223,224,226,225,224,224,224,224,225,225,223,219,219,220,220,221,222,222,223,224,223,225,224,225,225,224,227,229,230,227,224,224,224,226,225,226,226,226,224,219,220,221,222,223,223,223,223,224,224,227,227,227,225,222,203,202,201,223,235,225,226,226,226,226,226,225,224,219,220,220,223,224,224,224,223,225,225,222,213,209,229,242,183,158,146,130,186,236,233,225,227,226,227,227,225,219,221,221,223,225,227,226,226,226,227,218,188,201,248,242,206,182,164,121,79,127,209,237,226,227,228,227,227,219,221,222,225,226,227,225,215,205,253,236,200,223,250,229,215,200,165,112,104,74,87,170,238,226,228,228,227,221,222,223,225,227,223,239,211,212,242,232,209,228,251,211,201,189,156,93,110,91,83,71,156,239,228,229,228,223,223,224,226,227,224,255,227,218,231,230,226,218,235,194,193,175,139,89,96,84,89,88,65,159,243,227,231,225,225,225,227,225,226,237,227,210,232,239,231,223,229,198,189,163,119,86,82,77,86,87,83,60,194,241,230,223,224,225,225,229,233,223,234,226,219,242,233,227,243,217,192,153,106,80,69,71,84,83,83,66,117,243,230,222,221,223,221,240,229,222,237,244,223,232,231,229,240,222,186,136,97,67,51,75,88,88,81,71,86,231,232,222,223,224,223,232,233,228,227,241,224,234,240,238,236,221,171,117,86,40,47,75,92,95,99,71,101,238,229,224,224,225,226,225,235,241,231,244,236,194,251,247,233,222,162,102,52,8,49,70,84,105,98,74,114,243,228,224,224,226,226,226,235,244,247,210,228,201,237,246,236,225,152,87,12,1,36,56,79,114,88,73,124,241,228,224,225,225,227,228,226,228,255,171,184,230,224,239,244,217,143,76,13,0,17,45,92,123,84,68,161,244,230,225,225,226,226,227,226,211,227,253,218,209,224,243,248,209,139,70,35,17,5,54,121,123,84,69,186,244,233,226,226,227,228,227,228,217,197,231,227,215,222,247,248,202,130,66,57,59,34,84,156,139,91,65,184,244,232,213,216,218,221,223,227,232,214,215,218,203,192,237,246,196,117,69,70,71,49,114,186,177,119,62,196,244,230,116,122,126,128,133,140,143,146,149,149,115,119,222,246,194,105,75,80,80,68,130,188,197,156,75,176,239,250,99,98,99,97,95,97,96,94,94,95,98,88,218,255,196,101,105,92,85,85,139,186,204,195,111,165,255,255,106,107,108,106,103,107,107,106,106,106,113,88,201,255,189,109,169,116,102,85,120,174,197,210,145,180,255,255,102,103,104,104,104,105,106,105,106,107,110,92,168,255,182,122,211,140,122,106,84,142,189,183,136,117,255,252,103,103,103,106,106,106,107,105,107,109,113,93,155,255,169,145,238,170,144,128,100,84,143,154,107,149,222,226,102,103,101,102,104,106,106,104,108,108,112,94,151,255,122,201,246,194,164,149,118,83,81,94,97,234,170,195,102,102,102,102,104,104,104,105,107,107,108,103,120,150,180,253,241,208,181,163,129,91,79,72,89,255,220,170,101,103,101,105,104,102,103,107,108,106,107,110,101,108,243,255,246,217,189,172,143,98,81,76,92,255,255,222
12,163,166,168,171,173,174,176,179,181,182,183,184,185,185,186,187,187,187,188,187,188,190,189,188,189,190,190,189,165,166,169,172,174,177,178,181,182,184,186,186,187,187,189,189,188,189,190,189,189,191,189,189,190,192,192,192,166,169,172,174,177,179,180,182,185,187,187,188,189,189,189,190,191,191,192,190,191,193,190,191,194,193,193,193,168,171,173,175,178,180,183,185,187,188,189,188,194,196,195,192,194,194,197,199,192,194,194,195,196,196,194,195,169,173,174,178,180,181,184,186,189,190,190,192,187,171,179,196,196,183,159,173,199,193,197,196,196,196,197,197,171,174,177,179,181,183,186,189,190,192,190,206,195,165,132,179,213,189,154,103,192,200,196,205,199,198,198,198,173,175,178,181,184,186,188,190,191,192,191,228,219,192,151,126,217,189,163,120,135,152,146,156,204,199,200,200,174,177,179,182,185,188,189,192,193,194,198,227,231,202,165,119,212,201,165,139,74,133,145,98,158,210,200,202,176,179,180,184,186,188,191,193,196,195,205,217,233,220,182,133,201,213,164,123,74,159,155,95,101,212,200,204,179,180,183,186,188,189,192,194,196,194,206,169,149,209,190,128,177,200,147,105,77,167,157,93,90,207,205,205,180,182,185,187,188,192,194,196,194,215,210,147,102,144,175,111,161,176,141,113,76,155,153,102,88,207,207,207,181,183,186,188,191,194,197,195,214,220,202,154,127,102,156,105,147,175,135,105,78,159,148,105,93,210,206,208,182,184,188,189,192,194,196,204,214,189,207,173,140,90,117,107,129,171,140,98,90,178,165,110,99,217,209,209,183,185,188,191,193,195,194,211,196,155,197,171,134,92,86,134,124,189,168,108,118,228,195,113,135,222,208,210,183,186,188,192,195,196,199,214,203,162,165,169,137,90,70,138,112,165,159,99,94,193,155,78,121,222,209,210,185,187,189,193,195,196,203,209,190,151,149,179,124,95,45,74,56,66,149,109,130,161,112,103,82,161,221,208,186,187,190,194,197,198,205,218,192,159,140,172,112,95,53,44,44,127,199,196,189,177,148,122,92,114,222,209,186,189,192,194,198,199,210,217,190,158,121,154,113,104,52,58,112,197,202,194,178,164,136,110,86,134,223,210,186,189,192,194,198,196,210,216,193,171,134,121,125,118,62,91,185,210,212,199,169,153,130,105,81,169,225,213,187,191,193,195,199,197,211,216,197,181,166,133,114,105,113,155,219,213,222,193,158,145,122,100,86,195,222,215,188,191,194,196,200,200,211,217,206,186,174,169,142,130,155,169,219,220,220,183,148,135,113,90,116,218,216,216,190,191,194,197,200,201,208,216,208,192,181,177,168,142,147,160,222,221,201,173,142,124,108,82,163,226,216,217,190,192,196,198,200,201,205,209,203,197,186,177,168,149,137,168,223,215,183,161,136,115,101,86,200,221,216,218,190,193,198,200,201,203,205,203,201,199,185,179,167,150,132,169,205,201,165,146,126,106,89,110,223,216,217,219,190,193,197,199,202,203,207,205,205,204,186,179,169,152,129,166,190,176,150,132,115,103,80,161,229,217,220,220,191,193,196,198,199,201,204,205,209,200,182,172,162,142,123,163,173,148,135,116,106,93,103,214,220,220,221,220,191,193,195,198,200,202,203,203,211,191,168,160,142,124,128,157,159,135,128,108,102,87,168,223,216,218,219,220,191,194,195,198,201,203,202,201,215,188,171,160,131,126,135,157,153,133,120,106,91,125,221,215,216,218,220,220
4,166,168,172,174,177,179,182,184,185,187,187,189,191,191,190,191,191,190,189,189,189,188,188,187,187,186,186,185,167,169,173,175,178,180,182,185,187,188,189,190,192,192,188,184,188,192,191,191,190,189,189,188,188,187,186,186,168,171,174,177,180,182,184,186,188,190,188,182,187,199,186,160,161,189,194,193,192,191,190,189,190,189,188,187,169,172,175,178,181,184,186,187,190,201,194,168,164,201,191,150,130,176,191,193,194,193,192,191,191,191,189,189,171,174,177,180,183,185,188,190,191,210,208,173,146,185,192,149,112,140,164,173,189,194,194,193,193,192,191,190,172,175,179,182,184,187,198,206,191,181,202,185,146,167,189,146,94,108,140,135,161,192,195,195,194,193,192,191,173,176,180,183,185,192,212,216,189,150,182,182,139,146,173,134,88,107,140,122,121,181,197,196,195,194,193,192,173,177,181,184,186,193,211,206,181,139,165,168,127,120,146,120,89,125,150,120,105,173,198,197,196,195,194,193,174,178,182,184,186,192,208,195,178,141,153,159,123,101,121,108,100,154,156,113,102,174,199,197,196,196,195,194,176,179,182,185,187,194,210,192,174,151,144,162,142,110,115,104,111,158,143,98,101,180,200,198,197,197,196,195,177,180,183,186,189,196,218,205,174,138,120,156,156,150,143,137,144,164,150,108,106,184,202,200,199,198,197,196,178,181,185,187,189,200,221,203,168,128,102,112,123,153,156,163,178,187,173,128,118,187,203,202,200,199,199,198,178,181,185,187,190,204,218,190,152,121,99,90,93,120,147,162,174,180,167,129,115,179,202,202,201,200,200,199,179,182,185,188,191,209,219,189,151,118,97,91,96,108,127,142,150,158,157,133,109,160,201,203,201,200,200,200,179,182,186,189,192,213,219,190,151,120,102,97,105,121,127,139,157,166,169,146,111,137,197,204,202,201,201,201,180,183,187,190,195,217,218,186,146,117,105,99,106,130,142,169,191,196,193,162,119,114,182,205,204,203,202,201,181,184,187,191,196,218,216,184,148,122,109,105,111,135,162,198,212,209,204,172,125,99,160,205,206,205,203,203,181,184,188,191,197,216,211,184,153,132,118,111,116,146,192,214,216,204,190,161,119,96,156,205,207,206,204,203,181,183,187,191,196,213,208,185,156,134,120,117,129,175,216,220,208,189,165,137,104,107,177,207,206,206,204,203,181,183,187,190,195,212,211,186,153,132,122,127,152,203,224,215,193,168,140,112,95,138,197,207,206,205,204,203,181,183,186,190,194,209,214,190,162,148,135,137,171,214,218,202,175,148,120,94,106,177,206,207,206,206,204,203,181,184,187,190,194,206,213,196,173,161,143,136,179,213,204,182,156,130,103,89,140,200,208,208,207,206,205,203,181,184,187,191,194,205,216,201,178,164,144,135,182,203,184,159,132,109,88,103,178,208,208,208,207,206,205,203,182,184,188,192,193,209,222,206,180,158,135,134,176,183,160,135,110,90,84,141,201,209,208,208,207,207,205,204,182,185,188,191,195,219,222,201,173,145,123,134,163,153,125,106,90,80,112,183,208,209,208,208,208,207,205,204,181,183,187,189,205,226,219,200,173,142,128,140,147,123,100,90,82,99,165,203,207,207,207,207,207,206,205,204,165,166,169,178,213,223,215,199,171,147,139,138,131,107,95,91,86,128,175,184,185,185,185,185,186,186,185,185,128,128,128,158,213,214,203,188,161,147,145,129,114,99,92,87,85,112,128,130,129,129,129,129,130,132,132,131
6,151,152,152,153,153,153,153,153,154,155,155,155,155,154,156,156,153,155,155,156,155,154,154,154,153,152,152,152,152,152,153,154,154,154,154,154,154,155,155,156,157,157,157,157,157,157,157,157,156,157,155,155,155,154,153,153,153,153,154,154,155,155,156,156,155,155,155,156,157,158,158,158,157,157,159,159,159,158,157,156,156,154,154,155,153,154,154,155,155,155,157,158,157,157,157,156,158,158,160,161,160,160,159,160,159,157,157,158,155,157,156,156,154,155,155,155,158,158,158,158,158,159,161,159,159,159,157,153,148,149,148,149,144,137,123,124,143,139,155,158,155,156,156,157,157,158,158,159,159,157,156,153,145,144,146,140,143,145,160,160,149,140,126,116,128,108,149,160,154,156,156,158,158,160,159,154,146,139,142,142,142,156,157,144,135,137,140,132,118,102,94,98,105,125,161,159,153,155,157,159,159,157,153,148,139,130,129,134,137,131,123,107,94,86,87,99,109,119,133,147,156,161,160,160,154,155,157,155,154,152,151,151,139,119,97,90,84,72,70,70,75,109,147,161,165,167,166,163,161,160,160,160,153,154,152,148,146,148,150,149,146,132,89,58,48,53,79,112,146,167,164,163,161,159,160,161,160,160,159,158,154,147,145,146,149,146,149,153,152,122,83,55,49,53,77,164,168,159,162,161,160,160,160,160,160,160,159,158,145,145,147,146,145,149,155,155,126,81,68,55,50,57,54,74,149,169,160,162,161,161,160,160,160,159,159,159,147,148,145,146,146,152,151,151,140,114,75,48,48,63,61,48,53,140,169,161,162,162,162,162,161,160,160,160,153,148,146,149,152,150,151,162,163,136,86,49,43,56,75,72,54,57,160,165,163,164,163,162,161,160,160,160,149,150,149,147,150,155,153,165,156,115,76,52,50,49,56,63,67,42,129,171,162,163,163,163,162,161,161,160,151,151,148,147,149,151,148,154,146,105,67,52,53,53,43,44,51,68,152,171,167,167,167,167,166,166,162,159,153,148,144,142,138,141,143,147,146,118,74,41,48,57,58,55,41,113,146,145,149,152,154,153,148,147,157,164,149,146,145,143,140,143,147,153,157,130,75,44,35,45,75,56,50,64,63,68,70,68,64,73,108,141,168,168,145,150,149,146,146,151,153,159,154,115,61,48,48,39,47,60,61,65,62,60,54,79,108,138,167,167,174,174,147,148,143,142,142,138,134,143,121,88,63,53,52,49,47,67,78,65,74,88,124,167,179,159,145,152,154,166,143,135,131,134,125,116,114,115,96,77,66,61,57,48,50,59,84,133,158,164,172,159,152,154,144,136,147,151,129,131,125,117,109,105,104,99,82,66,62,63,62,52,60,108,171,185,176,166,155,142,133,136,141,132,125,129,108,113,110,101,95,87,76,74,75,65,67,62,65,97,154,187,176,160,158,154,141,127,124,124,132,128,119,123,70,76,76,73,65,60,60,64,66,68,59,94,153,185,185,177,166,155,149,154,132,110,118,118,121,124,119,119,46,47,54,56,58,63,66,67,70,55,109,170,182,175,167,161,151,150,150,151,124,94,108,113,109,119,114,111,56,56,65,67,63,64,67,67,54,117,180,161,163,150,159,153,139,144,150,152,121,82,94,106,106,112,108,114,62,63,64,63,63,65,64,55,121,179,155,147,148,148,155,143,130,134,146,149,123,78,78,96,101,105,113,109,63,62,62,62,64,62,72,134,174,158,148,137,146,148,152,135,122,123,138,151,125,80,72,88,100,107,117,101
15,59,56,54,54,56,58,58,59,62,71,83,94,102,111,117,121,122,126,130,135,140,143,147,150,152,154,157,159,59,55,54,55,55,57,59,59,62,72,83,95,103,112,119,123,123,126,131,136,141,144,149,151,152,155,158,160,59,55,55,54,54,57,61,60,63,73,85,95,104,112,118,123,124,127,132,137,142,145,150,152,155,158,159,162,59,56,54,54,57,56,56,58,62,74,86,95,104,113,118,123,125,128,132,137,142,147,151,153,156,159,160,163,59,56,55,56,53,59,88,70,66,74,87,97,105,113,122,125,126,127,132,138,144,148,152,155,157,158,160,163,59,57,57,57,44,135,140,103,97,93,89,90,104,113,114,115,122,130,137,141,145,147,151,155,157,159,161,165,60,58,56,55,47,130,116,92,92,92,78,91,95,97,93,88,92,99,112,130,144,152,157,158,157,159,163,165,60,57,56,56,51,68,80,63,69,62,58,88,79,80,75,88,99,91,89,94,106,116,129,147,164,161,164,166,61,57,55,54,56,56,56,56,59,54,57,65,60,58,58,91,97,92,94,98,101,93,78,76,111,170,163,166,60,58,55,54,56,59,59,59,65,76,88,87,88,85,74,82,80,78,70,90,113,105,89,85,53,110,176,164,61,59,55,54,55,56,57,57,64,77,89,103,110,117,122,110,78,63,88,115,118,114,86,95,89,43,132,180,61,57,53,54,55,56,57,56,64,77,91,98,107,127,128,110,93,98,156,113,123,98,105,115,96,74,53,154,60,56,54,54,55,56,57,57,65,78,88,103,152,138,101,84,81,78,145,93,82,106,143,102,121,105,57,61,59,56,53,52,53,54,54,55,64,79,80,135,171,99,77,82,85,55,85,64,53,166,116,96,134,116,80,43,58,55,52,52,52,52,54,54,62,79,80,129,146,80,80,101,106,99,75,50,71,145,70,86,136,125,90,56,58,55,53,51,51,52,53,53,65,80,81,119,127,61,92,109,117,109,78,67,76,81,77,99,119,111,85,56,56,54,51,51,51,52,53,54,65,79,80,123,170,86,83,111,122,107,69,62,74,76,91,99,89,70,63,52,55,55,51,51,50,52,53,53,63,79,81,126,143,160,119,85,82,71,58,66,72,75,81,92,85,52,46,47,55,54,51,50,49,51,53,52,61,79,78,166,147,135,152,104,64,29,32,61,76,80,89,102,86,52,47,47,56,52,50,50,49,51,52,53,62,77,85,121,138,152,140,127,104,49,0,11,36,88,88,91,70,50,49,50,46,43,41,41,41,42,43,45,55,69,83,92,102,125,117,120,97,86,31,12,24,83,101,80,62,58,61,61,94,89,86,83,79,74,74,75,81,88,94,102,110,113,97,87,102,131,78,18,41,53,98,109,94,83,74,67,98,94,93,93,91,91,95,95,90,88,86,84,89,93,95,92,94,157,96,43,60,44,59,82,83,73,63,56,82,81,82,80,79,81,83,81,81,82,76,73,77,79,81,84,74,99,80,83,88,81,78,66,56,56,53,48,87,88,89,87,87,87,89,89,87,89,89,87,89,90,90,91,92,88,90,90,93,93,102,102,76,58,52,47,89,90,92,91,89,88,89,90,89,90,90,90,90,90,88,90,91,91,91,92,89,88,102,115,98,78,59,67,90,91,92,92,91,89,91,92,91,92,91,92,92,91,90,90,91,91,92,91,90,89,85,100,142,88,91,99,89,90,90,89,89,89,90,90,90,91,90,90,92,90,90,92,93,92,92,91,90,90,89,88,179,166,140,130
3,159,161,164,166,169,171,173,173,174,174,174,174,174,173,172,171,184,179,117,149,168,166,165,163,161,159,158,156,161,164,166,168,171,173,174,176,177,177,176,175,176,175,174,173,186,169,106,130,170,168,166,165,163,161,159,157,162,166,168,170,173,175,176,178,179,179,179,178,178,177,176,175,186,161,105,121,172,169,167,167,165,162,160,159,164,167,170,172,174,177,179,180,181,181,181,180,180,179,178,177,186,164,106,117,172,171,170,168,166,164,163,160,167,169,172,174,176,179,181,182,183,183,183,182,182,181,180,179,191,183,121,113,171,172,171,170,167,166,164,161,169,171,173,177,179,181,183,185,186,186,186,185,184,183,182,180,196,187,120,106,170,173,172,171,168,166,165,164,170,173,176,179,182,184,186,187,187,187,188,187,186,185,184,182,199,180,113,104,172,176,174,172,170,167,166,166,172,175,179,181,184,186,188,189,190,190,190,190,188,188,186,184,201,179,115,106,175,178,176,174,172,169,167,166,174,177,181,184,186,188,191,192,192,193,193,192,191,190,188,187,204,174,115,105,176,179,178,176,174,171,169,167,175,179,183,186,188,191,193,194,195,195,195,194,193,192,192,181,164,137,95,104,179,181,179,177,175,172,170,168,176,181,185,188,190,193,195,196,197,197,197,196,194,196,206,174,118,83,66,121,185,183,181,179,176,174,171,169,178,183,187,190,193,195,197,198,199,199,198,197,193,176,170,172,136,93,59,148,188,185,184,181,179,176,173,171,180,184,188,191,194,197,199,200,200,201,196,202,201,147,103,146,186,122,88,134,173,185,185,183,180,178,175,173,181,185,189,192,196,198,200,201,200,202,171,142,177,149,109,126,191,124,97,86,116,136,179,184,181,180,178,175,182,186,190,194,198,200,201,203,214,211,170,121,139,163,124,106,163,128,113,98,118,100,158,187,182,181,179,177,183,187,192,195,198,201,202,210,217,204,186,146,116,158,121,94,135,133,122,109,114,86,147,189,184,182,180,178,183,188,192,196,199,202,204,219,216,192,191,151,107,134,116,91,125,108,95,117,101,77,142,191,186,184,181,180,183,187,192,196,199,201,203,216,208,172,171,145,98,108,109,80,145,146,87,132,120,78,124,190,186,183,181,179,185,188,193,198,200,203,205,208,206,184,169,129,83,99,98,67,144,153,91,122,122,76,111,189,187,183,181,179,185,189,194,198,200,203,205,211,217,200,177,123,98,104,109,89,137,140,117,115,101,74,144,191,187,185,183,182,185,190,196,199,201,204,206,211,221,209,190,128,105,106,128,141,179,163,135,114,79,98,186,193,190,185,165,132,182,187,192,196,198,201,203,207,221,215,189,143,121,118,169,191,178,147,115,101,77,141,184,159,134,108,72,49,138,139,141,142,144,144,142,146,202,210,185,160,136,130,176,187,159,128,104,90,70,92,80,50,36,31,31,32,114,116,116,116,115,114,113,109,166,206,185,165,146,122,148,157,133,109,91,72,45,32,28,26,29,27,23,25,118,118,118,118,118,119,122,101,105,192,185,165,143,111,111,110,103,88,70,47,30,28,29,24,24,30,27,23,120,120,119,118,118,118,117,90,55,119,165,160,126,94,92,90,87,63,33,39,24,19,26,26,21,24,29,29,120,121,122,121,120,120,111,72,54,57,90,112,99,92,84,76,63,28,4,26,33,13,17,24,23,21,24,29,121,121,121,120,120,120,97,61,56,53,49,62,82,77,61,51,30,6,2,17,34,22,9,20,23,21,21,27
7,104,112,118,118,123,129,134,137,140,141,144,146,148,150,152,153,153,154,155,155,154,155,155,154,153,153,152,151,105,113,118,119,124,129,135,138,141,143,145,147,150,152,152,153,155,157,157,157,157,157,158,156,155,154,153,152,107,114,118,120,125,131,135,138,142,144,146,148,151,153,154,155,157,158,158,158,158,158,158,157,157,157,155,153,107,115,118,120,125,132,135,139,143,145,147,150,151,154,156,157,158,159,159,159,158,159,160,159,158,158,157,156,109,115,118,121,127,132,136,139,143,146,149,151,153,156,157,158,158,160,159,159,161,160,160,160,160,159,158,157,110,117,121,123,128,133,137,141,144,146,150,152,155,158,158,160,159,161,162,161,161,161,160,161,161,160,160,157,112,118,123,125,129,134,139,142,145,148,153,154,156,159,160,163,162,163,164,164,163,163,162,162,162,161,161,159,112,119,123,126,131,134,136,144,145,148,151,152,152,158,160,160,162,164,164,165,166,164,163,163,163,162,162,160,111,120,125,125,127,140,162,163,152,155,165,164,164,161,153,148,157,153,154,154,159,166,167,166,165,164,164,163,113,121,120,127,156,178,182,171,150,142,157,168,172,168,150,151,170,155,144,135,121,147,154,165,166,165,164,165,110,120,147,176,182,178,181,170,142,134,144,154,159,158,136,136,153,143,135,129,119,134,120,166,172,167,166,166,136,172,184,180,177,180,179,157,136,135,149,171,175,179,161,157,152,144,157,149,133,128,133,144,154,168,168,167,186,185,181,187,181,181,184,169,115,103,110,133,138,141,146,151,149,151,158,161,151,146,150,132,145,142,165,167,187,187,187,187,182,188,194,162,102,82,91,79,63,84,104,115,119,121,121,126,128,128,130,123,136,126,167,170,191,188,186,188,186,188,184,129,89,85,86,88,66,44,61,156,159,162,160,156,151,144,144,141,141,158,170,168,187,186,183,185,184,187,174,121,76,79,97,98,94,73,71,171,172,172,173,175,175,175,175,174,173,171,169,168,192,190,188,191,192,198,180,111,75,62,54,92,114,88,65,145,175,169,172,171,171,170,169,169,168,169,169,168,189,188,185,178,180,181,141,103,78,77,50,59,91,91,87,155,174,170,172,173,173,172,172,172,170,171,170,170,176,174,163,155,161,148,117,100,92,80,74,66,98,125,149,170,170,171,173,173,174,175,174,173,171,171,171,171,161,152,147,143,146,124,95,90,86,88,73,71,154,173,170,169,170,172,173,174,174,175,174,173,173,174,171,170,135,135,126,112,101,100,117,126,105,103,105,127,166,165,167,170,172,173,173,174,173,174,174,173,173,173,172,171,105,102,92,94,111,134,148,154,157,156,161,164,165,167,169,171,172,173,173,173,173,173,174,173,171,171,171,171,80,74,75,96,106,102,100,101,101,102,102,101,102,104,106,104,105,106,107,105,103,102,102,100,99,98,98,96,58,75,81,77,81,79,77,75,75,75,75,76,77,78,76,73,73,74,75,76,77,76,76,75,71,70,71,70,74,81,85,86,86,87,86,86,87,87,88,86,86,86,84,89,89,85,84,83,83,83,83,81,78,80,80,71,77,80,86,86,86,87,85,83,85,85,85,84,84,83,82,89,90,88,88,83,81,80,80,80,80,77,71,108,78,76,86,87,87,86,85,85,86,86,85,85,86,84,84,84,82,83,85,82,81,80,80,82,76,86,143,168,76,70,82,89,88,88,88,87,88,88,88,87,87,87,87,85,83,83,83,82,83,81,79,78,81,164,157,137
1,17,44,49,58,69,89,103,114,119,123,128,129,133,139,143,143,145,152,150,150,153,155,154,157,157,158,158,158,23,44,50,59,71,94,105,114,120,125,130,131,134,140,140,159,126,110,158,155,153,156,157,158,158,158,158,158,30,45,52,61,72,95,107,115,122,127,131,134,139,142,144,174,111,71,135,130,160,157,159,160,160,160,160,160,35,46,54,62,76,98,107,117,123,128,132,134,138,150,127,166,109,95,127,84,162,159,160,162,162,162,161,161,38,46,55,63,78,101,110,119,124,130,134,135,141,164,101,157,104,107,142,79,153,162,162,163,163,163,163,163,40,48,55,64,81,103,113,120,126,131,136,132,155,154,99,166,106,111,146,74,146,167,163,164,166,165,165,164,43,50,56,66,84,105,113,121,127,132,138,135,162,143,91,160,101,112,153,81,144,170,165,167,166,167,167,167,45,50,58,68,87,106,115,123,128,130,154,130,140,132,93,163,102,110,145,78,142,173,167,169,169,169,169,168,44,50,59,69,90,105,116,125,129,133,167,98,140,115,118,171,95,114,157,77,140,174,168,170,170,170,171,170,46,52,61,70,93,106,116,127,127,147,160,81,145,100,144,165,86,133,173,80,141,176,170,171,172,172,173,173,47,52,61,73,96,108,116,127,125,168,140,85,161,101,130,137,68,139,156,78,147,177,172,173,174,174,174,174,48,53,63,75,96,109,119,128,130,178,119,85,150,75,118,116,63,153,146,72,154,177,174,174,175,175,175,175,48,56,65,76,99,110,120,125,140,183,108,75,132,120,122,130,147,157,137,71,159,178,176,177,176,176,176,176,51,57,65,79,101,110,122,122,159,174,103,93,140,168,120,136,147,141,123,69,162,178,177,178,177,177,177,177,51,57,66,82,103,112,123,122,174,175,154,143,163,164,155,142,123,116,100,68,161,180,176,178,180,180,180,179,51,58,67,83,104,114,122,130,189,156,141,144,135,124,171,174,157,125,94,64,162,180,178,180,181,181,181,181,53,60,67,84,104,115,117,155,189,134,108,100,82,80,163,165,159,142,109,64,163,180,178,181,181,182,182,182,54,61,69,88,107,117,115,173,178,128,123,130,114,153,182,169,143,123,96,49,146,188,180,182,183,183,184,183,53,61,69,90,109,117,117,178,184,145,125,130,160,209,188,158,134,94,77,44,109,194,180,184,184,184,184,184,53,62,69,91,107,118,119,174,198,162,138,131,166,214,192,152,126,86,62,46,92,193,181,185,185,185,185,185,55,63,70,92,106,117,120,166,199,161,145,135,160,205,181,151,114,85,59,41,120,194,182,186,186,185,186,187,56,64,74,95,108,120,123,157,194,160,152,138,146,189,173,141,105,81,58,54,170,190,186,187,188,188,188,189,56,64,74,95,109,119,125,146,188,167,164,150,163,183,152,122,94,75,47,103,194,186,188,188,190,189,190,189,56,65,74,97,108,118,129,137,172,168,161,146,162,167,135,107,86,69,47,151,193,187,189,190,190,191,191,191,57,64,75,98,110,122,129,133,160,164,156,142,132,139,123,99,88,64,59,175,190,189,191,192,192,192,192,192,56,62,73,95,107,120,129,132,146,161,154,141,131,133,130,111,89,55,76,187,185,188,189,191,192,192,191,191,55,61,73,96,104,116,127,133,148,167,162,151,143,131,130,116,84,48,104,194,183,187,189,190,190,191,191,191,54,60,74,95,105,117,128,131,182,167,157,164,145,129,108,99,79,40,107,195,182,187,189,191,191,191,192,192
7,152,155,157,159,162,164,167,167,170,172,173,174,176,177,178,178,179,179,180,181,181,181,181,181,182,182,179,179,152,156,159,161,163,165,167,168,171,173,174,176,177,177,178,179,180,180,181,181,182,182,182,182,182,182,181,181,155,158,159,162,165,166,168,169,172,172,173,177,177,178,178,179,180,181,182,182,182,182,182,182,182,182,181,181,157,159,160,164,167,168,170,172,173,174,177,176,177,180,180,179,180,181,182,183,183,183,183,183,183,184,183,181,157,159,163,166,167,170,172,174,174,175,178,179,179,180,180,182,182,181,183,184,184,184,184,184,184,184,184,181,158,161,164,167,169,171,173,175,177,179,181,182,181,181,183,183,185,185,185,185,185,186,186,183,186,187,185,183,158,161,164,166,169,172,173,176,178,180,183,182,182,185,186,181,174,176,182,181,177,171,168,193,160,179,189,185,159,162,165,168,169,173,175,178,179,180,183,184,183,180,169,162,158,146,149,156,160,150,146,166,125,170,184,180,163,165,166,169,172,174,174,178,177,175,177,179,184,175,166,167,162,140,147,147,153,149,145,142,133,162,165,139,164,165,168,170,173,176,176,182,159,152,163,172,178,169,163,157,143,140,135,125,128,131,124,122,120,119,119,151,164,166,169,172,174,173,191,180,143,149,156,149,138,127,127,124,115,109,112,124,125,125,129,136,144,155,169,192,165,165,170,174,172,192,198,177,163,144,135,118,103,89,100,128,132,156,186,192,191,190,193,197,198,199,196,192,165,168,172,170,189,204,190,191,180,134,124,128,131,130,124,134,160,199,197,194,195,196,195,193,192,191,194,194,167,170,168,184,205,193,192,187,165,139,131,121,127,133,126,106,90,125,200,194,196,196,196,195,196,195,195,195,168,167,180,199,197,191,185,169,156,146,133,105,97,116,123,120,110,99,194,199,197,197,197,197,197,195,197,196,163,175,200,198,185,175,169,161,154,146,132,107,90,92,95,98,102,107,198,199,199,198,199,198,197,197,197,197,173,198,196,188,179,169,165,164,162,156,138,112,106,109,93,73,75,108,206,199,199,199,199,198,198,198,198,197,197,192,181,181,177,168,168,162,157,153,141,124,116,114,108,101,89,95,183,206,199,200,201,200,200,200,199,197,189,184,181,176,169,166,159,151,155,151,132,116,111,108,111,106,100,67,78,175,207,199,202,202,202,202,200,198,184,181,173,172,168,164,149,151,157,138,114,99,82,70,93,102,100,75,75,147,212,200,202,202,202,202,200,200,180,177,169,166,157,153,160,155,133,114,101,74,64,61,55,96,101,84,132,197,204,202,202,203,202,203,202,202,178,173,165,153,157,160,156,135,116,104,89,69,75,70,71,91,96,174,210,206,204,203,203,203,203,203,203,204,166,162,149,155,159,149,133,117,108,90,93,114,129,138,92,108,182,209,202,205,205,205,205,204,204,204,204,203,143,143,140,140,135,124,116,102,90,109,176,203,206,212,184,190,211,204,206,207,207,206,207,204,204,204,203,203,127,120,115,114,113,103,97,106,147,194,204,200,201,201,208,208,204,207,207,207,207,207,207,205,204,204,204,204,123,105,98,93,82,99,158,189,203,197,197,201,202,204,203,206,208,208,208,208,208,208,207,205,206,205,205,205,121,100,85,81,134,181,201,195,196,197,201,204,204,205,206,207,208,209,208,208,208,209,209,208,208,206,205,206,123,102,83,89,193,195,191,195,199,199,201,205,205,206,208,208,209,210,210,209,209,209,209,209,209,208,207,207
1,212,216,219,220,223,224,225,226,228,228,228,229,229,226,229,233,227,230,230,229,228,229,229,229,229,229,228,227,216,219,223,223,226,228,229,229,231,230,230,232,234,238,213,193,234,230,232,232,230,231,231,231,233,231,229,229,221,224,225,229,229,230,230,230,232,233,232,236,221,243,230,123,235,242,232,232,233,233,234,234,235,234,233,231,224,226,227,230,231,233,232,233,235,239,234,255,206,185,242,119,197,214,236,237,238,238,238,238,239,237,236,235,225,228,231,234,235,237,237,237,239,241,234,255,202,178,244,126,157,162,181,252,237,240,240,241,241,240,239,238,228,231,233,235,237,238,240,241,241,241,240,255,207,182,255,162,156,195,132,251,241,241,242,243,241,242,241,240,231,234,235,237,240,240,242,242,243,243,216,255,227,166,255,187,146,208,128,229,249,245,246,245,243,243,243,241,233,236,239,240,240,242,245,245,246,255,167,221,253,153,245,200,157,232,157,197,255,246,249,248,248,247,245,244,235,238,240,241,244,246,247,247,250,255,155,210,254,153,225,214,167,253,196,163,255,248,250,251,250,250,248,247,236,239,242,242,247,248,251,248,254,255,164,213,251,158,231,232,164,225,233,150,240,255,253,252,251,250,250,249,240,241,244,246,248,249,254,250,255,255,166,226,255,180,212,254,161,198,253,160,206,255,253,254,254,253,253,253,240,242,245,247,249,251,255,252,255,255,164,216,255,173,168,249,153,197,255,180,174,255,253,255,255,255,255,253,242,245,248,249,251,254,255,254,255,255,191,169,255,138,153,239,153,173,255,202,154,255,255,255,255,255,255,255,242,245,248,250,252,253,255,253,255,255,182,131,249,222,199,190,217,230,199,180,145,247,255,255,255,255,255,255,244,247,249,252,255,255,255,255,255,247,182,187,186,255,205,208,251,213,177,186,135,211,255,255,255,255,255,255,247,249,250,253,255,255,255,255,255,246,235,229,153,223,232,255,255,230,175,169,147,152,255,255,255,255,255,255,246,250,253,255,255,255,255,255,255,239,221,208,159,220,255,255,232,255,242,184,143,121,255,255,255,255,255,255,246,250,253,255,255,255,255,255,255,232,199,190,225,243,231,207,167,255,255,255,194,107,228,255,255,255,255,255,246,249,250,255,255,255,255,255,255,242,187,191,179,175,163,154,199,255,255,252,218,153,199,255,255,255,255,255,245,248,250,251,255,255,255,255,255,255,186,185,184,184,203,242,255,255,249,233,186,144,177,255,255,255,255,255,247,249,252,254,255,255,255,255,255,255,198,191,214,210,255,255,255,255,244,219,176,107,175,255,255,255,255,255,248,249,253,255,255,255,255,255,255,255,224,204,229,207,255,255,255,255,237,203,165,102,167,255,255,255,255,255,245,248,252,255,255,255,255,255,255,255,244,219,250,205,255,255,255,255,228,189,154,102,191,255,255,255,255,255,247,247,251,255,255,255,255,255,255,255,255,238,255,206,246,255,255,255,218,180,142,107,234,255,255,255,255,255,254,255,255,255,255,255,255,255,255,255,255,255,253,225,218,255,255,249,211,171,127,114,255,255,255,255,255,255,207,212,219,227,229,231,238,240,245,255,255,255,243,229,193,255,255,236,197,158,119,139,255,255,255,255,255,255,119,124,127,128,129,132,137,139,135,255,255,255,234,218,188,253,255,220,179,150,126,139,207,209,210,212,245,255,128,130,131,131,133,133,132,137,116,230,255,244,229,215,193,228,243,213,168,147,135,125,123,122,153,225,251,255
13,168,170,171,172,172,173,174,174,173,173,173,173,174,173,172,171,171,170,169,168,167,166,165,164,164,164,163,162,170,171,172,173,174,175,176,177,176,175,174,174,175,174,174,172,171,170,170,170,169,168,167,166,165,164,164,163,172,173,174,174,176,177,177,178,178,177,176,175,176,174,175,174,172,172,172,172,171,170,169,167,167,166,165,165,173,175,176,176,177,178,177,178,178,178,178,177,176,177,177,176,175,178,175,173,172,170,170,170,169,169,167,166,174,176,177,178,178,179,179,179,178,178,179,178,178,178,176,176,161,151,173,174,172,179,172,170,171,171,170,167,175,178,179,179,180,180,181,181,181,184,181,181,176,178,181,175,136,86,102,171,141,133,171,174,171,172,171,169,178,178,180,180,182,183,181,186,173,152,181,186,152,129,173,163,130,91,64,128,125,77,106,179,172,172,172,170,178,179,182,183,183,183,188,196,174,113,127,180,149,105,154,171,126,101,64,114,119,95,68,151,180,172,172,171,180,181,184,185,185,182,211,202,174,124,124,175,141,112,171,196,139,101,75,143,130,104,57,142,183,173,173,173,181,183,185,185,185,185,218,205,178,125,135,180,136,106,199,201,134,91,109,175,127,89,60,154,182,175,174,174,182,184,186,186,184,206,217,192,180,118,129,176,142,92,144,172,106,82,93,121,89,64,69,172,180,177,177,176,184,186,188,185,195,215,191,165,140,92,126,170,133,95,50,79,107,100,90,89,94,67,97,187,178,179,179,178,185,187,188,184,210,214,177,134,102,74,119,138,114,73,30,44,88,85,107,128,129,98,111,191,179,181,180,178,186,188,188,188,225,222,200,159,125,70,100,112,91,90,116,153,157,149,151,138,146,127,90,176,185,182,181,180,187,189,188,198,230,217,202,189,162,107,105,143,160,190,196,188,179,169,161,126,116,112,81,146,193,183,183,182,189,191,188,204,228,216,205,193,166,152,157,188,201,193,186,179,173,159,147,128,106,109,86,122,196,184,184,183,191,192,188,207,227,217,206,193,172,171,182,193,202,190,184,179,171,155,138,128,113,106,84,104,195,185,185,184,191,191,189,208,224,215,206,191,175,173,182,191,203,192,185,179,162,143,132,120,103,98,67,129,195,185,184,185,191,192,189,203,222,213,202,183,166,164,177,185,189,186,181,167,148,135,122,105,93,63,101,193,187,187,186,186,190,195,202,201,210,204,184,165,157,171,177,179,173,175,170,155,142,124,105,91,63,71,183,193,189,188,187,186,199,175,130,189,201,189,179,171,165,176,181,173,163,156,150,134,116,99,82,56,77,174,196,189,190,189,188,186,199,123,55,103,205,201,197,194,174,165,177,165,142,128,131,113,94,69,74,127,188,196,192,192,190,190,189,188,149,83,91,71,116,195,202,194,173,153,162,148,121,112,110,86,59,103,184,203,194,192,194,192,192,191,190,189,99,81,82,83,69,98,150,148,144,141,155,131,108,99,82,59,137,202,199,193,196,196,194,193,193,191,191,190,90,81,76,78,85,40,49,65,65,68,82,83,80,74,53,144,212,197,196,197,197,196,194,194,194,193,191,190,83,76,75,73,83,63,27,56,55,48,43,41,42,44,43,160,201,200,198,198,197,196,195,196,195,193,192,191,79,77,72,69,78,70,20,43,51,45,44,42,40,35,17,56,202,199,198,198,197,195,195,195,195,193,191,190,79,74,73,63,74,66,18,35,45,42,42,38,39,33,14,142,208,195,198,197,196,195,195,194,193,192,190,190
21,172,173,176,179,182,183,183,184,185,188,188,186,187,187,187,188,188,187,186,186,186,186,185,184,183,182,181,180,173,175,178,180,182,184,186,187,187,188,189,188,186,188,190,190,189,188,188,188,188,187,186,185,185,183,182,181,175,177,179,181,184,185,187,188,188,189,213,191,170,189,193,192,192,191,191,190,190,189,188,188,186,186,185,184,178,179,182,184,186,187,188,189,191,192,223,208,154,179,194,193,193,193,194,193,193,192,191,191,189,188,187,185,179,181,184,186,188,189,190,192,194,192,209,225,164,161,195,195,195,196,195,195,194,195,194,181,190,190,190,187,181,183,185,188,190,193,193,194,195,194,198,230,200,163,187,196,198,198,198,198,196,206,193,144,184,193,192,191,182,184,187,190,192,194,194,195,196,197,196,227,227,172,172,199,200,199,199,199,198,218,184,135,187,195,194,193,184,186,189,192,195,196,196,198,198,199,199,218,236,181,157,198,201,200,201,199,209,220,169,149,196,196,196,195,185,187,191,193,196,197,198,199,200,200,201,209,237,196,154,191,203,202,202,202,223,212,155,172,201,198,197,196,187,189,192,194,197,198,199,200,201,202,204,222,228,207,153,175,205,205,203,210,222,191,142,189,201,200,200,198,188,191,194,196,198,200,201,201,201,202,215,245,229,207,157,141,197,207,206,225,216,165,152,202,202,201,201,199,190,193,195,198,200,201,202,203,205,220,222,226,233,210,181,155,173,204,213,226,207,149,182,206,204,203,202,200,192,194,197,200,201,202,203,206,211,241,225,207,231,222,217,205,165,164,196,203,175,148,203,206,206,204,202,201,194,196,199,201,202,204,206,206,217,224,221,203,172,173,222,218,169,128,154,164,139,170,210,208,208,206,204,202,195,198,201,202,205,207,209,207,221,221,177,153,117,113,177,223,185,132,125,133,127,194,210,208,208,207,206,205,196,199,202,203,207,208,210,208,226,214,177,168,138,125,143,226,210,153,114,115,135,208,211,210,209,208,206,206,198,200,203,205,207,209,210,210,233,233,207,176,145,146,146,220,230,173,121,104,151,214,213,212,211,210,209,208,199,201,204,206,209,210,211,212,242,235,192,164,150,165,172,231,240,193,138,104,157,215,214,213,212,211,211,210,201,203,206,207,209,211,213,215,242,225,187,171,174,184,200,248,240,199,151,112,157,217,214,214,213,212,211,211,201,204,207,208,211,213,214,217,245,235,204,190,189,197,227,254,235,196,155,114,159,219,216,216,215,214,213,213,201,204,207,208,210,212,214,216,245,241,215,194,201,212,242,255,233,191,158,118,160,220,217,217,216,216,215,214,201,205,207,208,210,212,215,215,243,247,222,200,204,222,251,251,232,189,154,117,167,220,217,217,216,215,215,214,203,205,207,209,211,214,215,215,240,250,226,213,210,232,254,244,224,185,150,115,173,221,217,217,217,216,215,213,203,206,208,210,213,215,217,217,236,251,233,230,222,236,253,240,216,183,144,113,171,224,220,219,219,219,217,215,204,206,208,212,214,216,217,218,228,251,242,239,232,230,243,224,206,178,136,109,172,225,221,221,220,220,219,209,204,207,210,214,216,218,220,220,222,246,248,241,229,219,226,207,194,174,130,106,181,226,222,223,223,221,208,153,204,208,211,214,216,219,220,221,221,239,250,236,213,198,205,199,188,175,124,107,202,227,224,224,213,174,133,104,188,192,197,199,202,205,208,212,202,212,244,225,195,176,188,199,182,166,112,119,220,225,225,214,154,114,102,93
18,85,92,96,103,112,119,127,134,139,140,142,145,150,153,157,159,165,166,167,168,169,170,173,173,175,176,178,181,88,93,97,104,113,121,128,135,139,142,145,143,151,150,155,163,161,162,170,172,170,172,173,175,175,177,179,182,90,95,97,105,113,122,131,133,137,144,138,162,175,124,107,144,180,152,121,164,177,173,175,176,177,180,181,182,89,94,100,108,118,123,127,139,178,132,115,188,168,141,122,170,198,145,102,86,163,179,176,177,180,183,183,184,89,95,99,110,115,125,119,195,202,133,123,201,153,161,167,180,158,133,131,86,95,185,175,178,181,183,185,186,91,96,99,105,131,151,115,204,191,150,143,173,154,151,152,154,122,138,136,124,75,153,184,180,183,184,186,187,92,96,102,104,209,173,123,123,207,159,152,109,142,119,125,112,111,156,144,139,104,91,186,182,183,185,187,189,94,99,91,145,233,185,161,112,176,186,145,90,146,136,90,53,141,168,160,155,135,82,120,194,184,187,190,191,93,100,90,180,201,200,187,136,111,188,148,97,109,175,122,50,95,160,166,177,143,113,74,149,196,186,188,190,93,99,94,181,142,190,179,136,77,136,141,95,70,130,110,50,76,167,193,185,147,117,95,88,191,186,189,191,93,97,103,199,135,147,136,95,68,79,99,78,47,74,54,132,201,187,176,171,144,121,100,85,184,193,191,193,94,94,110,217,171,166,130,77,60,56,78,69,25,36,147,218,196,182,166,143,126,111,92,106,195,190,192,194,96,90,133,215,163,149,128,84,50,45,85,64,16,126,229,214,197,174,153,122,102,99,80,142,199,191,194,195,97,85,148,238,187,164,140,103,67,64,76,63,113,218,219,216,194,162,140,115,95,87,82,181,194,193,195,195,97,87,139,250,204,190,172,141,122,124,112,132,201,221,220,203,176,149,125,106,91,74,112,198,191,194,196,197,97,91,134,251,215,196,170,146,141,144,141,185,219,216,210,185,161,137,117,99,89,73,153,198,193,196,198,199,98,93,128,248,219,196,173,160,159,155,167,200,212,209,186,167,149,126,109,98,86,83,185,193,195,197,198,199,97,96,116,236,221,201,183,175,170,170,183,196,199,195,163,148,133,117,100,95,74,116,197,191,194,198,198,199,96,102,101,213,226,212,201,187,174,171,177,184,177,174,152,133,120,107,97,92,73,169,196,192,193,197,199,199,95,104,99,177,233,222,219,200,176,161,149,159,155,153,143,119,107,99,94,73,110,197,192,194,195,198,200,200,96,103,106,135,228,216,215,204,175,151,139,139,144,147,137,113,101,96,90,65,158,196,192,194,196,197,199,200,96,103,113,112,194,207,187,183,168,146,135,134,137,144,140,118,103,98,75,87,190,190,193,195,198,198,200,202,96,102,114,114,146,208,179,163,149,131,135,139,122,136,136,115,97,96,64,122,197,189,194,196,198,199,201,201,95,101,114,124,126,188,163,150,147,138,157,153,121,127,135,116,96,91,61,142,198,190,194,198,198,200,201,201,93,102,115,125,122,166,168,158,166,152,151,153,124,114,128,116,100,89,55,127,203,191,195,197,198,201,201,201,90,101,113,122,124,150,192,174,171,152,142,149,127,107,119,112,97,92,60,99,199,190,194,196,197,200,201,201,91,101,112,121,128,136,209,193,177,156,139,143,133,108,104,108,99,90,71,71,191,191,193,196,197,198,200,200,91,102,111,122,130,133,207,204,178,155,135,138,137,105,99,108,96,88,76,63,176,193,194,196,198,199,200,200
23,208,209,209,207,208,210,209,208,205,205,205,202,202,200,199,200,198,197,193,192,191,189,186,184,184,175,47,19,212,211,212,210,210,212,211,211,210,208,208,207,204,203,202,202,200,199,196,194,193,191,189,185,189,168,29,15,213,212,212,213,214,214,214,213,214,212,211,211,209,207,206,204,201,200,200,197,196,194,192,189,200,137,15,13,217,216,216,217,218,218,219,218,216,213,212,211,212,210,210,209,207,203,201,201,200,198,196,189,205,109,4,7,221,219,219,220,221,221,220,220,219,217,217,215,203,205,208,205,199,209,206,203,202,200,197,192,199,77,3,0,222,222,222,222,223,222,222,221,220,219,219,202,163,155,172,170,153,131,199,207,202,202,200,198,194,48,4,0,223,224,225,226,226,225,222,224,223,223,213,187,194,166,164,177,171,97,117,223,203,204,203,200,205,73,2,0,227,226,227,227,227,228,227,226,226,224,212,194,173,126,99,137,126,126,67,164,220,204,204,200,210,110,12,0,228,227,228,228,228,229,229,227,227,222,215,187,151,88,131,153,159,123,107,70,182,214,205,201,206,144,94,2,229,228,229,229,230,230,230,229,228,217,210,165,154,90,220,230,229,186,125,80,152,221,207,205,205,168,134,53,231,230,230,230,230,231,232,231,229,208,199,148,144,135,234,224,224,231,214,193,214,214,210,208,209,182,114,164,231,232,232,231,234,235,232,235,222,204,189,137,126,176,210,192,190,171,183,227,217,214,212,209,210,186,149,156,233,234,235,235,235,235,234,234,204,192,177,158,162,175,181,182,184,158,89,208,213,214,213,211,211,198,177,173,236,237,237,236,235,235,237,206,171,170,179,191,202,213,211,199,180,146,86,192,197,172,214,213,209,211,190,135,237,238,238,236,236,239,227,202,184,175,176,179,191,185,171,160,147,146,99,158,213,145,174,223,212,210,209,155,238,239,239,238,238,240,226,201,186,170,161,170,178,181,186,180,158,144,108,72,163,118,143,228,211,211,211,203,240,241,241,241,239,244,217,207,212,180,169,169,177,185,177,173,170,96,66,30,86,56,138,232,213,214,210,209,242,244,245,246,242,248,208,206,207,172,163,173,184,186,179,174,156,81,39,23,32,68,210,220,217,214,211,209,244,245,246,245,243,249,210,186,204,194,195,196,189,188,174,157,111,61,43,34,45,197,230,218,218,217,214,211,243,244,244,244,242,248,208,180,216,207,199,192,158,140,119,81,75,65,44,30,162,237,219,220,219,217,214,210,244,245,244,244,244,249,206,184,209,196,186,171,136,87,42,48,77,57,34,72,226,221,220,218,216,212,213,213,246,247,246,246,245,251,206,186,196,185,184,174,137,72,31,52,47,45,34,130,240,220,220,216,214,220,212,186,246,247,247,247,246,251,203,187,190,184,188,186,126,52,24,27,36,54,41,184,236,222,220,227,225,176,126,139,245,246,246,246,244,251,203,184,187,198,203,173,104,62,37,42,59,54,70,228,226,232,228,171,119,64,130,149,254,255,255,255,254,255,201,177,190,207,197,151,100,71,44,48,68,40,140,251,228,191,118,43,37,38,140,162,180,186,190,195,201,211,176,177,198,208,190,139,92,74,48,47,51,67,220,191,113,55,33,35,33,24,113,177,101,101,98,98,101,98,146,185,195,199,177,130,89,71,47,43,47,73,98,53,25,45,29,32,21,21,60,178,121,121,123,121,116,115,163,186,188,181,152,116,78,62,43,37,50,46,48,30,21,46,24,24,21,23,19,113
3,150,153,156,158,160,163,164,165,166,166,166,165,164,164,164,164,162,160,159,158,157,157,155,153,151,150,147,146,152,156,158,160,163,165,167,168,169,169,169,167,167,167,166,166,170,161,143,160,159,158,157,155,153,151,150,148,154,158,161,163,166,168,169,170,171,171,171,170,170,169,168,167,183,160,106,152,162,160,159,158,156,154,152,150,157,160,163,165,168,170,171,172,173,173,172,172,172,171,171,169,183,158,98,139,165,163,161,160,158,156,154,152,159,162,165,168,170,172,174,175,175,174,174,174,174,174,173,171,182,162,102,133,168,165,164,163,160,158,156,154,160,164,166,169,172,174,176,178,178,177,176,176,177,176,174,173,185,184,119,125,169,168,166,164,162,159,157,155,162,165,168,171,174,176,178,180,180,180,179,179,179,178,176,175,189,192,122,112,168,169,167,166,164,161,159,157,164,167,170,174,177,179,180,181,182,182,182,181,181,180,179,178,192,188,117,106,168,170,169,168,165,163,160,158,165,169,173,176,179,181,183,184,184,184,183,183,183,182,181,179,196,190,123,106,170,172,171,170,167,164,162,160,168,172,175,179,181,183,185,186,186,186,186,185,184,183,182,181,171,160,115,103,170,174,173,171,169,166,164,162,170,174,178,181,183,186,187,188,189,189,188,188,187,184,189,189,135,97,82,99,176,176,175,173,170,167,165,163,172,177,181,183,186,188,190,191,191,191,190,190,194,181,144,150,167,121,73,114,180,179,177,174,172,170,167,164,175,179,182,185,188,190,193,193,194,193,193,167,176,177,122,100,184,135,98,100,135,153,175,176,173,171,168,166,176,181,184,188,190,192,194,196,196,201,203,154,116,161,142,103,154,137,116,101,120,107,151,179,175,172,170,167,179,183,186,189,191,194,195,197,201,216,203,176,129,136,150,101,118,145,134,115,120,90,134,181,177,174,171,169,181,185,188,191,193,196,198,198,211,206,196,186,136,110,137,97,110,122,101,113,107,80,126,184,179,176,173,170,182,186,190,193,195,197,200,200,221,209,176,174,134,92,120,92,114,157,94,124,130,86,117,184,181,178,175,173,183,188,191,195,196,199,201,202,209,193,161,161,114,81,114,81,112,184,107,111,139,88,96,182,182,180,177,174,184,189,193,196,198,201,203,203,209,212,189,159,110,95,113,92,95,148,111,112,120,80,93,181,184,181,178,176,185,190,193,196,200,201,203,205,215,220,203,162,114,99,123,120,151,179,148,128,97,71,132,188,185,183,181,179,184,190,194,197,201,202,204,205,214,224,210,169,130,108,118,168,191,169,132,110,90,80,175,189,186,184,182,181,183,189,194,198,201,202,204,205,211,221,206,170,156,120,141,199,182,144,119,101,85,117,191,188,186,183,181,180,184,190,196,198,202,204,206,206,205,211,202,179,164,134,137,171,162,131,112,90,85,165,192,189,187,184,181,180,185,192,196,200,203,206,207,207,131,166,197,182,164,137,114,131,128,110,93,85,140,194,194,191,189,186,184,181,186,192,196,200,202,205,209,187,76,87,159,171,159,119,94,92,96,92,79,137,194,196,195,194,192,182,155,116,185,191,195,198,201,204,207,139,66,62,78,112,119,86,80,76,78,64,65,177,198,192,171,142,125,96,62,45,144,146,149,150,151,151,145,90,67,60,55,56,63,76,73,59,54,34,13,82,117,93,59,39,32,29,30,34,113,114,115,116,115,113,95,71,71,58,54,50,48,38,31,29,24,17,10,27,37,28,26,25,29,29,23,27
3,190,193,197,199,202,204,206,207,208,208,208,207,206,206,206,206,203,201,203,199,198,198,196,193,192,190,187,185,193,197,200,202,205,207,209,211,212,212,211,210,209,209,208,207,215,204,182,205,200,199,198,197,194,192,190,188,195,199,203,205,209,211,212,213,214,214,214,213,213,212,211,206,232,207,126,197,206,202,200,199,197,194,193,190,197,201,205,207,210,212,214,215,216,216,215,215,215,214,214,209,231,205,119,177,212,204,203,201,199,197,195,192,200,204,207,210,213,214,217,219,219,217,217,217,217,217,217,211,229,208,124,172,216,205,206,205,202,199,197,195,202,206,208,212,215,217,219,222,222,220,220,220,221,219,217,213,231,237,147,160,218,209,208,206,204,201,198,196,203,208,211,213,217,219,222,224,224,224,223,222,223,221,221,214,236,247,151,143,218,211,210,208,206,203,200,198,205,209,213,217,221,223,224,225,226,226,226,226,225,224,224,219,239,239,144,135,217,212,212,210,207,205,202,200,207,211,216,219,223,225,227,228,228,228,228,227,227,227,226,219,248,247,153,136,219,215,213,212,209,206,204,201,210,215,219,223,225,227,229,230,231,231,231,230,228,227,225,222,217,210,151,132,219,217,216,215,211,208,206,204,213,218,222,225,227,231,232,233,234,234,234,232,230,227,240,245,163,120,108,126,226,217,218,216,213,210,207,205,215,220,225,227,231,233,235,236,237,236,235,238,245,228,177,189,220,162,89,153,238,225,220,217,216,212,209,206,217,223,227,230,233,235,238,238,240,237,241,204,224,229,150,117,248,174,129,132,171,195,222,219,216,214,211,208,219,225,229,233,235,237,240,243,241,247,255,190,136,209,188,130,201,177,150,130,159,134,191,227,216,215,213,210,222,227,231,234,237,239,241,242,245,255,251,226,160,173,203,126,150,195,178,150,166,115,170,233,219,218,214,211,225,229,233,236,239,241,245,241,255,251,242,239,171,141,185,123,146,157,128,150,143,102,164,236,221,220,215,213,226,231,235,239,241,242,246,244,255,255,214,220,174,120,162,121,149,213,114,166,178,108,152,238,223,222,218,216,227,233,236,241,242,245,248,248,255,237,195,206,148,103,159,101,146,254,131,142,194,113,123,235,224,224,220,217,228,233,238,241,244,248,250,249,255,255,236,202,142,129,153,121,117,191,139,146,162,107,116,233,227,226,222,219,230,235,239,241,246,248,250,250,255,255,252,205,147,130,166,149,192,235,192,171,131,90,171,242,227,227,225,223,228,236,240,243,247,248,252,250,255,255,255,212,165,141,148,215,244,214,167,145,123,100,229,235,231,229,226,225,227,234,239,243,247,248,251,251,255,255,255,208,203,152,178,255,227,181,154,139,112,149,247,230,231,228,225,223,228,236,242,244,249,251,253,253,255,255,248,222,209,170,172,219,207,168,149,125,102,214,241,232,232,228,224,221,229,237,242,246,249,253,252,255,155,211,253,225,207,178,146,171,166,145,126,103,180,249,236,234,231,229,232,233,230,236,241,246,248,250,255,245,89,107,214,221,206,156,124,123,129,129,104,176,250,238,243,246,246,237,203,149,234,243,247,250,254,255,255,179,89,91,101,151,161,114,112,107,113,94,89,246,254,249,224,185,167,130,84,65,182,184,188,189,189,190,189,117,96,92,83,78,88,112,110,89,85,61,23,112,160,123,79,55,48,47,56,62,145,146,147,147,145,147,123,98,105,85,84,79,77,61,53,52,47,41,32,47,55,45,49,51,58,57,47,53
16,110,120,127,132,137,143,148,154,157,161,164,168,172,175,178,181,182,183,185,186,187,187,188,188,190,189,190,190,114,124,130,134,139,146,152,158,161,164,167,172,175,178,181,184,186,186,189,189,190,192,192,193,193,192,193,193,116,127,132,137,142,149,156,161,164,168,171,175,179,182,184,187,188,186,183,181,183,188,192,195,196,196,197,196,118,129,134,139,146,152,158,163,167,171,173,177,180,184,186,183,173,163,152,136,130,131,150,182,197,199,200,201,121,132,137,141,147,154,161,167,170,174,178,179,181,177,168,158,153,154,143,125,115,108,95,109,171,199,202,202,124,133,138,144,150,157,164,169,173,175,173,166,159,155,152,151,145,138,130,110,105,105,86,81,103,188,206,206,125,135,140,144,152,160,166,171,182,175,163,140,146,147,151,140,131,131,114,94,92,92,83,78,80,156,206,208,128,137,142,147,155,162,168,181,204,184,185,142,156,168,154,125,129,117,101,88,85,82,79,79,81,136,205,210,130,138,144,149,157,164,171,186,186,186,182,154,183,179,126,119,112,94,89,82,78,77,80,80,81,153,208,213,133,142,146,152,160,166,172,172,179,192,174,167,198,177,127,113,95,82,79,78,77,75,78,81,86,180,213,215,135,144,149,154,161,167,174,175,184,197,184,178,197,164,145,125,98,79,74,76,77,76,77,80,111,200,216,217,136,146,150,155,163,170,176,181,183,195,194,180,193,174,150,120,95,77,71,74,78,78,77,79,144,211,220,219,138,148,151,157,165,173,179,184,181,195,194,192,188,165,130,99,81,69,72,77,80,80,78,83,177,218,220,221,141,148,151,159,167,175,181,186,185,196,197,195,172,140,102,75,58,56,74,84,81,80,79,91,200,220,221,222,143,150,154,160,168,176,183,187,190,196,198,182,147,111,75,38,25,58,79,88,83,80,77,106,214,222,223,224,146,153,156,163,171,178,184,189,193,189,183,155,120,91,36,10,18,57,82,96,93,83,73,123,220,223,223,223,147,153,158,165,173,179,185,190,194,181,161,128,101,70,19,11,17,47,78,98,100,84,72,142,225,226,225,225,148,155,159,166,175,180,187,192,197,181,143,108,85,55,29,19,31,36,72,104,101,81,76,154,226,226,227,227,151,155,160,167,176,182,189,193,198,176,122,87,72,65,59,45,47,55,82,111,94,82,77,166,227,228,229,229,153,157,161,169,177,183,190,194,196,168,108,102,81,69,71,66,65,99,101,115,90,82,78,181,230,230,230,231,154,158,162,170,179,185,190,196,187,145,95,192,195,139,107,87,113,118,116,113,85,80,77,186,230,230,231,231,154,157,163,171,178,185,188,184,162,109,139,211,212,201,180,148,127,124,131,114,80,77,73,177,232,233,233,233,154,157,163,171,179,186,185,170,128,100,197,212,212,201,180,150,125,139,143,118,79,74,73,151,229,229,227,227,154,158,163,171,181,192,190,149,96,168,210,213,209,200,175,151,125,149,150,122,80,73,76,87,123,114,137,176,154,158,164,171,188,207,164,104,137,201,208,212,208,197,172,149,124,148,157,129,75,76,76,64,54,56,110,126,155,158,163,171,203,167,117,150,198,205,209,210,205,194,174,150,125,129,157,142,80,75,75,65,44,75,73,73,155,159,165,172,184,158,177,196,202,206,209,212,202,192,172,149,124,113,147,151,92,75,72,56,21,55,66,66,155,160,166,175,182,188,194,198,202,206,209,212,200,190,173,145,119,110,117,142,108,78,71,49,15,38,71,54
13,122,123,126,128,131,134,136,137,140,140,142,143,144,144,145,145,144,147,148,146,146,146,145,146,147,147,147,147,123,125,128,129,132,135,137,139,141,142,143,145,145,145,146,145,145,143,141,149,147,148,147,148,148,149,149,149,124,126,129,131,133,136,138,140,142,142,144,147,146,145,148,147,150,130,89,99,153,149,149,148,148,148,150,150,125,128,130,133,135,137,139,140,143,143,145,146,146,147,147,155,163,131,85,56,155,145,152,153,149,150,150,151,127,129,131,134,136,139,142,143,144,144,147,145,151,130,105,122,160,127,83,52,102,91,92,133,157,152,153,152,128,130,132,135,138,140,142,144,146,147,148,153,175,128,92,82,151,120,86,34,89,105,58,65,159,152,154,152,128,131,133,136,139,142,143,145,148,148,146,145,162,149,108,87,144,112,69,53,138,117,63,44,140,158,153,154,129,132,135,137,140,143,145,147,146,148,149,104,77,120,120,77,140,133,56,90,150,107,65,45,143,159,155,157,130,133,136,138,141,143,146,147,147,161,147,109,75,71,119,67,155,146,68,106,143,100,61,49,153,158,157,157,131,134,137,140,143,145,146,147,158,148,148,124,90,59,106,77,86,102,45,105,165,116,52,57,161,158,159,159,132,136,139,141,143,146,147,151,156,119,143,127,88,50,85,97,23,3,39,115,145,95,31,78,167,157,160,161,132,136,139,142,143,146,147,156,156,122,117,122,88,44,68,94,47,0,53,128,110,67,37,118,170,158,160,160,133,136,138,142,144,147,150,161,152,121,102,130,82,50,57,83,52,33,97,127,124,116,84,81,167,161,161,161,134,136,139,142,145,147,148,165,153,126,94,122,80,50,50,99,67,88,159,128,110,98,82,49,134,169,160,161,136,137,139,142,146,148,149,165,150,124,91,107,89,62,52,126,93,128,152,137,112,83,67,50,140,170,161,162,135,137,140,143,146,149,152,165,152,133,114,91,88,78,36,116,135,160,147,127,106,76,59,60,159,165,164,163,136,139,142,144,147,148,154,167,153,137,123,103,76,63,74,153,159,163,144,120,96,71,53,74,169,165,167,166,136,139,141,143,146,148,152,164,153,137,126,121,95,88,102,154,159,157,131,106,85,65,48,114,172,164,166,165,135,138,141,144,146,149,150,157,153,143,131,127,104,89,88,147,162,146,116,93,76,58,66,162,165,164,165,165,135,138,141,144,147,149,151,152,151,145,131,129,112,91,93,142,158,132,107,84,69,46,104,172,162,164,164,164,137,139,142,145,147,149,151,152,154,147,132,127,114,94,97,131,142,116,97,77,63,48,139,167,164,165,165,165,138,140,142,146,147,148,150,153,155,146,131,124,109,88,98,125,115,102,85,69,55,78,167,163,165,165,166,166,138,140,142,145,148,149,151,153,155,137,123,114,93,81,105,114,96,93,74,64,49,134,170,163,166,166,166,167,138,139,142,144,148,150,148,152,156,129,122,105,89,92,109,109,94,86,72,52,94,168,164,165,166,166,167,167,141,144,146,148,151,156,146,160,157,133,127,105,94,105,117,98,90,71,60,59,150,167,163,164,165,165,166,166,107,112,118,123,127,128,135,163,158,138,137,106,101,115,107,87,78,62,44,110,173,167,169,170,172,172,172,171,63,66,67,67,70,61,105,160,143,137,136,109,104,112,101,78,64,54,49,85,103,104,109,109,112,119,121,130,73,75,74,72,74,62,114,158,133,125,122,104,98,110,100,66,60,50,53,68,68,69,69,76,92,104,105,116
0,170,172,174,175,176,177,177,176,175,176,176,175,175,174,174,174,172,172,172,171,170,169,169,167,167,166,165,164,172,172,175,177,177,179,179,178,177,177,177,177,178,176,175,174,173,173,172,172,172,170,170,168,168,166,165,165,173,173,175,178,178,179,180,179,179,178,178,178,178,177,176,175,173,174,174,173,172,171,171,169,168,168,167,167,174,175,177,178,179,181,181,181,180,179,179,178,177,178,177,190,172,152,169,175,173,174,172,171,170,169,167,168,175,177,178,179,179,181,181,182,182,182,180,179,188,176,177,215,180,144,121,158,149,157,174,168,170,170,169,168,177,179,179,180,180,181,182,184,183,181,179,192,209,186,180,219,184,146,117,169,146,112,138,118,153,173,171,170,178,180,181,181,183,183,184,183,185,194,168,202,209,189,178,223,192,138,160,189,141,90,108,94,150,174,172,171,178,181,183,183,184,185,186,181,203,223,187,198,218,187,164,218,196,138,135,169,127,85,115,97,162,174,172,171,181,182,184,185,185,186,186,184,212,238,210,176,226,189,143,186,176,132,100,145,111,106,140,99,157,175,172,173,182,184,184,185,185,187,185,192,204,228,219,159,202,176,123,146,161,127,95,143,105,145,157,104,144,177,173,174,184,185,185,186,186,187,186,200,194,197,190,140,171,158,109,101,163,122,92,150,114,176,167,106,147,179,175,175,183,186,186,187,188,188,185,210,209,183,174,126,146,159,105,82,170,132,95,103,155,193,157,100,158,179,176,175,184,186,186,187,188,189,192,217,183,150,166,139,121,172,115,91,159,179,177,126,167,185,139,98,170,179,177,175,186,187,187,188,188,189,199,226,194,154,137,144,118,161,125,141,192,201,185,161,138,153,127,107,179,179,179,176,186,188,189,190,190,190,202,229,200,169,146,139,170,179,192,204,201,190,168,151,137,118,114,110,181,179,179,177,187,190,192,192,192,190,212,234,206,187,172,158,179,207,216,217,203,184,162,144,129,107,97,117,183,179,179,179,188,191,192,193,193,191,220,234,212,199,183,169,192,218,227,227,205,180,161,139,119,101,92,157,184,182,181,180,189,192,192,193,195,192,222,230,212,195,179,172,196,221,229,226,206,179,153,130,109,94,116,185,184,181,180,180,188,190,192,193,194,191,219,231,214,195,178,170,193,215,219,211,197,172,144,118,101,95,162,186,183,181,181,179,188,189,192,193,194,191,206,227,211,195,183,174,195,207,201,188,171,153,133,111,99,150,187,185,183,182,181,179,188,190,193,193,195,193,203,217,199,198,191,175,192,201,188,166,146,137,119,107,154,188,186,185,184,183,181,179,192,192,194,194,196,195,204,217,201,200,188,176,186,197,178,148,129,121,106,155,190,188,188,186,184,183,182,180,191,192,193,195,196,195,207,232,216,195,180,177,177,185,160,128,117,103,148,191,190,188,189,188,185,184,183,180,191,192,194,193,201,192,188,241,224,194,180,180,166,172,142,114,102,131,191,191,190,189,188,187,186,186,185,180,190,192,195,193,212,246,177,195,213,189,182,173,161,162,125,100,91,171,193,190,189,188,186,187,186,181,169,160,191,192,194,192,219,255,238,141,222,214,201,188,169,157,126,101,95,180,192,192,189,185,190,191,173,151,158,152,146,147,145,142,233,252,254,145,150,221,210,195,171,153,135,122,112,125,135,130,136,176,197,183,166,118,173,162,102,100,94,132,253,251,255,165,107,215,202,184,163,146,130,118,113,106,90,107,176,202,187,164,172,108,150,175
0,169,167,168,168,169,168,168,167,168,168,168,168,168,167,167,167,166,166,166,165,163,162,162,162,161,159,159,159,171,171,170,170,171,171,170,170,170,170,170,169,170,169,168,168,167,166,167,166,165,164,164,164,163,161,161,160,172,173,172,172,172,173,172,173,172,171,171,171,171,170,170,169,169,167,167,166,166,165,165,165,163,161,161,161,172,173,173,173,173,172,172,173,173,172,173,172,171,170,171,171,170,169,169,166,167,167,166,165,165,164,163,162,173,173,173,173,173,173,173,173,173,173,174,174,173,172,172,175,172,171,173,172,168,167,168,167,166,165,165,164,175,174,175,174,173,174,173,173,174,174,174,174,173,174,169,157,170,175,158,155,173,150,146,172,166,166,166,166,175,175,175,175,174,174,174,174,174,174,174,177,178,171,141,110,108,145,125,102,120,152,102,167,169,167,167,164,176,176,176,176,176,176,176,176,177,179,176,159,139,149,138,116,79,84,129,104,75,151,102,136,179,166,168,166,176,176,177,177,176,176,175,176,161,161,167,143,99,83,135,122,101,92,130,109,77,133,129,83,159,174,167,168,177,178,178,178,177,177,175,166,133,96,151,139,108,73,128,128,112,90,136,112,70,110,140,93,89,158,171,167,178,178,178,178,177,178,166,160,139,101,138,145,118,83,123,134,104,87,140,114,66,78,144,120,80,103,181,166,178,179,179,179,180,176,156,154,148,117,125,152,117,86,106,136,102,75,120,103,60,80,148,127,73,110,181,167,180,180,179,179,180,171,146,139,148,124,112,146,113,84,92,135,100,52,70,70,47,120,154,121,64,150,176,169,181,181,178,179,179,167,160,128,134,120,88,131,118,92,66,90,71,31,54,55,88,150,149,99,83,178,171,172,182,181,180,180,177,162,145,104,111,88,53,105,112,86,41,39,51,86,121,107,134,150,133,74,122,183,171,173,181,182,182,184,174,160,152,122,96,68,47,60,77,50,37,64,120,151,149,139,122,138,113,57,157,179,172,173,182,183,182,184,172,163,161,141,110,94,81,83,91,94,113,140,156,150,144,139,109,108,83,67,180,175,174,173,183,183,182,185,171,163,167,146,124,108,99,107,130,151,158,161,162,152,139,130,95,82,50,129,185,175,175,173,183,183,182,185,172,157,168,149,129,105,106,114,151,162,163,165,161,143,129,117,87,45,100,185,176,176,176,175,182,183,182,184,176,150,161,151,135,116,112,127,163,165,163,165,151,131,116,103,57,79,182,178,177,177,178,176,182,183,182,182,182,152,158,156,140,131,121,138,161,165,164,155,135,122,106,77,57,168,181,177,176,177,176,175,183,183,182,182,186,160,149,158,150,139,122,141,158,159,156,142,121,108,90,49,141,186,174,177,177,176,175,174,183,183,184,182,185,172,145,155,149,136,121,135,152,146,139,124,105,92,50,110,189,176,179,178,176,176,175,174,183,183,183,183,184,182,150,151,142,130,121,129,144,135,124,107,89,50,85,184,179,180,178,177,177,177,177,176,183,182,183,184,185,180,156,152,137,124,121,124,139,129,109,96,55,79,181,181,180,181,180,178,178,178,177,176,182,182,182,182,184,174,155,149,143,140,136,128,133,126,100,71,57,176,184,180,181,181,180,179,178,178,177,176,186,185,185,185,187,158,154,156,152,148,139,130,129,115,86,49,117,193,179,183,181,181,181,180,179,179,176,174,155,158,161,163,166,146,157,163,156,147,139,132,118,96,77,51,154,185,181,182,182,181,180,180,179,178,176,175
12,201,201,203,204,205,207,208,207,207,207,207,206,206,205,205,203,204,204,203,202,202,201,201,200,199,197,197,197,201,202,203,205,206,208,209,208,209,209,208,209,207,207,208,209,208,204,205,204,202,202,202,201,200,199,200,199,203,203,203,206,209,208,209,209,210,210,210,211,209,208,197,183,199,207,199,201,212,205,202,201,201,201,201,201,203,204,205,208,209,210,210,210,210,211,211,211,208,205,176,137,111,190,170,134,141,201,208,203,200,202,202,202,204,205,208,209,209,210,210,211,212,212,209,210,212,185,155,126,110,173,149,127,67,147,197,198,209,202,202,202,205,207,208,209,211,211,211,213,211,211,202,165,192,187,171,102,146,192,154,123,109,165,147,109,159,211,202,202,207,208,208,210,213,213,212,212,213,218,205,151,175,221,174,97,184,206,157,127,141,152,133,98,75,162,212,202,207,208,208,211,212,213,213,211,221,231,208,162,158,210,146,94,208,205,140,130,185,166,133,104,80,96,210,203,208,210,210,211,212,215,215,211,227,217,200,159,111,116,119,74,137,156,90,145,218,167,150,99,66,89,206,205,209,210,211,212,214,216,213,219,237,213,178,141,113,57,48,98,144,163,138,183,218,161,119,74,64,95,209,203,210,211,212,213,215,214,217,231,213,204,157,127,107,50,114,203,209,197,185,199,158,114,93,92,72,97,215,205,210,211,214,215,216,213,230,233,199,168,156,172,102,139,220,211,198,190,171,182,183,129,130,125,85,127,218,205,211,213,215,215,216,216,241,228,205,181,155,178,168,230,220,202,193,198,178,179,177,141,112,114,77,177,216,206,212,214,215,216,217,221,242,232,216,213,183,185,209,215,220,199,202,192,168,180,161,123,97,86,78,205,210,208,213,215,217,217,216,223,241,237,224,211,200,190,201,204,208,199,198,183,176,173,142,106,90,67,104,221,207,209,213,215,218,219,218,223,240,238,224,205,189,188,192,200,205,197,194,179,173,149,117,91,85,57,138,225,207,210,213,214,217,217,217,222,238,235,211,189,184,193,193,204,209,196,185,172,150,120,97,83,79,52,169,224,211,210,213,216,218,218,219,222,224,217,205,203,201,196,195,214,203,186,166,157,134,105,91,83,61,82,213,215,213,210,214,217,217,220,220,226,234,235,230,222,209,190,192,212,191,167,147,139,114,98,91,62,68,189,220,213,213,213,216,217,218,220,219,233,241,236,227,214,202,190,188,203,179,150,135,118,103,90,61,87,190,221,213,214,214,214,215,218,219,219,222,240,239,234,223,204,193,191,192,188,164,142,122,107,81,72,140,212,223,216,216,216,216,215,214,217,219,217,225,242,234,225,216,202,188,188,192,178,156,129,102,76,82,186,227,217,216,217,216,216,215,214,221,217,217,213,232,231,222,211,210,200,180,184,181,158,141,122,85,71,189,226,216,218,216,216,216,215,214,212,177,215,223,217,231,214,208,201,199,188,188,184,172,146,123,106,73,156,224,215,219,218,217,216,216,215,214,213,90,93,154,236,218,199,190,187,187,195,187,174,165,136,114,86,89,211,221,220,219,218,217,216,216,215,215,214,99,83,78,181,208,190,180,187,197,199,175,160,154,125,105,67,134,229,221,221,221,218,217,217,217,215,216,215,90,93,94,76,95,109,106,114,132,148,145,145,138,113,91,64,185,228,220,222,221,220,218,217,216,215,217,214,89,86,92,79,28,48,54,51,49,51,57,75,93,93,64,97,213,222,221,221,221,220,219,217,215,216,215,215
8,162,162,163,164,163,163,164,163,163,161,163,135,141,162,158,157,158,157,155,153,152,152,151,149,148,147,145,143,163,163,164,165,165,165,165,164,164,164,169,111,101,169,159,160,160,159,156,155,153,153,152,151,149,148,147,144,164,165,166,167,166,166,167,169,164,173,164,85,98,170,159,163,162,161,158,157,156,155,154,153,151,149,147,145,165,166,167,170,168,168,169,169,165,179,156,66,119,173,161,163,163,161,161,160,158,156,156,155,154,150,148,148,167,168,169,171,172,170,170,171,166,189,155,73,134,173,164,164,164,162,162,160,158,158,157,156,154,152,150,150,169,170,170,171,172,171,171,172,169,195,135,71,144,172,164,169,166,162,162,161,159,159,158,158,155,154,152,151,170,172,172,171,171,173,173,172,173,190,125,77,152,174,164,125,154,174,166,161,161,161,159,159,157,155,154,151,171,173,174,173,173,173,175,172,178,191,139,115,151,176,177,122,99,137,152,168,161,163,160,159,158,157,156,151,172,173,173,174,174,175,175,170,183,183,153,135,157,168,179,166,120,95,85,111,170,155,166,162,158,156,155,153,173,174,174,175,175,176,178,172,183,179,165,144,178,170,156,182,158,155,116,51,98,96,94,159,162,158,157,155,174,175,176,177,177,178,178,174,197,166,153,166,180,165,123,144,162,145,121,58,24,45,29,96,172,158,160,157,176,177,177,177,179,181,179,182,180,147,156,148,166,146,111,62,151,159,125,70,25,34,35,59,170,160,159,157,177,178,179,180,181,181,178,197,167,130,126,132,163,122,91,21,106,186,131,77,29,52,32,85,173,159,159,159,178,179,180,180,181,179,187,207,179,146,99,105,150,103,62,38,108,194,139,83,28,29,36,152,168,161,161,160,179,179,180,183,182,179,206,203,174,143,113,102,155,144,140,171,157,162,130,87,36,10,126,173,162,162,161,159,179,181,182,183,182,184,213,190,168,147,131,99,120,193,187,165,164,123,114,95,33,96,180,166,166,165,163,162,180,183,182,183,183,194,210,183,172,145,108,108,169,194,167,139,168,105,98,89,30,153,175,169,166,166,165,163,181,183,184,184,181,204,209,182,174,135,111,163,200,180,159,131,150,103,73,57,48,177,171,170,170,166,164,164,183,184,185,186,185,206,206,187,173,132,152,186,191,169,151,121,125,99,59,25,104,187,170,172,170,167,166,165,185,185,187,183,181,212,201,186,164,139,152,178,167,153,132,111,113,74,41,24,159,180,174,172,171,170,168,166,185,183,199,123,53,161,193,167,144,135,143,156,154,137,118,107,86,53,16,70,187,174,176,173,172,170,168,165,183,191,165,53,38,41,120,157,138,136,135,148,152,124,104,81,51,33,18,152,181,177,176,173,173,171,170,167,184,197,86,36,45,39,35,97,142,147,128,144,139,102,78,52,42,10,104,190,176,179,176,173,173,171,170,168,200,135,41,43,36,37,35,4,41,69,87,128,114,65,47,41,12,74,188,179,180,179,176,174,174,172,170,168,168,55,39,39,34,30,41,11,0,12,13,38,51,37,25,8,89,186,182,179,179,179,177,176,173,172,171,168,73,38,40,36,29,27,38,18,0,12,8,0,0,3,0,112,204,178,179,178,178,178,176,174,172,170,170,167,37,32,29,32,28,21,36,11,0,4,4,0,0,0,0,44,144,186,179,180,179,179,176,173,172,171,168,165,43,28,7,61,45,10,34,0,0,0,0,0,0,0,0,0,72,197,179,181,180,179,177,175,173,173,170,166
19,149,151,155,157,159,163,164,165,166,167,167,168,168,170,171,172,172,172,172,172,173,171,172,173,171,170,171,169,152,155,160,163,164,167,169,170,170,171,170,171,173,175,175,177,176,175,175,177,177,176,177,177,176,176,175,173,156,160,164,168,170,171,173,175,176,176,176,177,177,179,183,179,178,180,180,180,180,179,179,179,178,179,178,177,162,164,169,172,174,176,176,178,179,180,179,184,178,129,149,190,181,184,185,184,185,184,184,184,183,183,180,179,165,168,172,176,177,179,179,181,183,184,181,198,186,127,91,190,187,187,187,187,187,186,188,188,188,187,186,185,168,171,175,179,181,183,184,185,186,187,185,203,192,144,69,171,202,197,196,193,192,191,190,191,191,191,190,189,172,176,179,183,185,187,188,190,190,192,191,203,193,139,70,150,172,167,191,191,193,198,200,197,197,195,193,193,176,180,182,186,187,189,191,193,198,200,196,201,182,161,174,182,153,116,148,150,143,155,162,189,188,195,196,194,179,183,186,188,191,193,195,197,195,191,191,187,188,191,182,166,148,109,125,154,151,147,132,160,136,175,205,197,183,186,188,192,195,196,198,193,158,157,167,172,172,165,160,164,156,109,82,112,120,115,108,110,145,198,203,201,185,188,191,195,198,199,205,179,150,147,147,152,158,165,163,163,156,92,164,196,186,179,182,191,209,208,204,203,186,191,194,197,200,201,209,175,171,153,134,137,145,150,144,139,138,97,176,224,214,217,217,215,210,211,207,205,189,193,196,200,204,204,202,205,200,153,122,132,138,149,158,150,139,106,127,224,211,212,213,214,213,212,211,210,192,196,199,202,205,207,200,208,213,178,146,114,115,130,136,124,118,85,132,228,212,216,215,216,215,214,213,211,193,197,202,204,206,209,205,195,207,215,164,124,121,132,133,115,103,74,171,231,218,220,219,218,218,216,214,213,195,199,203,207,210,210,202,208,209,196,148,135,130,127,117,96,84,70,195,228,224,222,219,221,220,218,217,218,198,201,206,210,212,210,205,215,210,184,151,131,135,109,71,44,59,93,224,222,224,224,222,222,222,220,219,219,200,204,209,211,214,212,207,215,204,172,135,138,164,92,40,30,52,149,234,220,224,225,225,223,222,221,219,220,202,206,211,213,217,216,204,212,201,165,132,156,147,72,33,40,112,223,225,224,226,226,227,226,224,223,221,221,204,208,213,216,218,220,203,204,195,156,137,168,130,77,54,38,176,239,223,228,228,227,228,227,226,226,224,223,206,209,213,217,220,221,197,191,184,156,166,175,123,73,63,56,204,235,229,230,230,229,229,229,229,228,227,227,207,211,214,218,220,222,195,186,186,173,179,162,108,70,58,94,238,227,231,231,231,230,230,230,229,229,229,228,208,212,215,218,220,223,187,188,189,176,168,138,93,70,56,157,246,228,231,232,232,232,232,231,231,230,230,229,211,213,217,220,222,223,184,193,181,156,147,113,84,69,84,223,235,232,232,235,236,235,234,234,234,234,233,232,212,215,217,221,225,222,184,194,178,149,125,88,82,66,152,248,233,236,235,236,236,236,235,236,236,236,236,233,214,217,218,221,228,220,188,214,188,149,111,77,74,52,185,246,234,237,236,238,237,237,236,235,235,236,236,235,213,217,220,221,229,210,194,213,173,135,99,77,59,82,234,238,236,237,238,239,239,238,238,237,237,236,237,236,210,213,220,222,231,197,199,196,141,115,94,84,45,138,254,233,237,237,237,238,238,237,237,237,237,238,238,236
20,174,176,177,176,177,180,180,182,182,181,181,181,180,181,180,178,176,178,175,172,173,171,168,167,164,162,160,157,179,181,182,181,183,184,185,185,185,185,185,185,185,185,182,193,178,130,185,181,176,175,173,170,169,166,163,161,185,186,186,187,188,189,188,189,189,190,190,190,190,190,187,199,192,102,145,172,183,178,177,175,174,171,168,166,189,190,193,192,193,193,194,194,195,196,195,194,194,194,192,198,194,95,76,108,176,186,182,180,178,175,173,170,193,194,195,196,196,198,198,199,200,201,199,198,200,200,196,208,189,78,118,119,138,197,185,185,183,181,177,175,199,200,201,201,201,203,204,203,204,203,202,203,205,205,200,213,184,74,150,144,106,201,189,189,186,184,181,179,203,204,204,205,206,206,208,207,208,208,208,208,208,209,203,223,192,87,156,154,98,200,194,193,190,189,186,182,207,208,209,210,210,210,210,210,211,210,211,211,212,211,206,232,176,79,164,184,102,193,202,196,195,194,191,186,211,211,211,211,213,213,214,215,214,214,214,214,215,216,217,241,153,81,187,183,94,187,208,200,198,196,195,192,214,214,215,215,216,218,219,219,219,218,217,220,219,200,196,239,164,105,207,179,86,181,211,203,203,201,197,194,218,220,220,221,221,220,221,223,222,221,221,221,223,213,183,179,167,97,179,187,100,180,213,205,205,204,202,198,221,222,222,224,223,223,224,225,225,225,224,225,222,232,238,191,141,108,161,195,115,172,219,209,209,206,204,200,223,224,225,226,227,228,229,228,228,228,228,228,225,178,194,193,187,141,113,160,105,163,225,210,210,207,204,202,226,228,228,228,229,229,230,229,230,230,230,229,234,193,92,172,209,131,68,96,84,148,230,214,213,210,207,205,228,229,228,230,231,231,231,231,232,231,232,232,238,199,58,138,207,156,93,72,60,131,233,217,215,212,210,209,229,230,230,232,233,233,232,233,234,232,233,233,228,194,120,104,154,182,130,115,65,106,235,218,218,216,213,211,232,232,234,235,235,236,236,236,236,235,237,225,225,196,158,100,71,148,156,127,73,78,232,223,221,219,216,215,235,236,237,237,237,237,236,238,237,238,231,226,200,199,191,146,94,107,145,144,92,63,217,229,221,221,219,216,237,238,239,239,239,239,239,239,240,239,226,212,152,129,179,168,103,84,122,178,137,60,168,241,222,222,220,218,239,239,239,240,241,240,241,242,243,241,225,217,173,82,94,159,85,61,102,180,175,92,88,234,227,225,224,220,241,242,242,243,244,243,243,244,244,243,228,207,175,131,69,110,92,65,151,213,193,120,60,216,233,227,226,222,243,243,245,245,245,246,246,246,244,247,224,217,213,139,85,110,128,122,221,216,178,96,75,230,231,228,227,222,244,245,246,246,247,246,247,248,247,251,223,218,216,151,113,113,202,236,235,185,158,66,114,247,227,229,228,225,244,245,246,246,247,247,247,248,249,252,225,209,202,166,119,110,217,236,209,161,134,60,162,249,229,229,229,227,243,244,245,246,246,246,246,247,248,253,227,196,191,167,124,111,202,214,186,143,106,58,204,241,229,230,228,225,245,245,246,247,248,248,248,249,249,251,240,199,191,168,141,122,199,214,173,124,73,83,241,232,228,229,236,230,246,245,248,248,249,249,249,250,252,251,253,210,189,173,151,113,177,195,146,97,43,167,250,238,240,226,182,118,246,247,248,248,250,252,250,250,253,253,251,220,197,173,148,116,138,149,100,58,70,239,236,190,153,100,46,34
16,109,120,127,131,136,143,148,154,157,161,163,168,172,174,178,180,182,183,184,185,187,187,187,188,189,189,190,190,113,124,131,134,139,146,152,158,161,164,166,172,175,178,181,184,186,186,190,192,191,192,191,193,193,192,193,193,116,127,133,137,142,150,156,161,165,167,171,175,179,182,185,188,190,188,184,181,185,192,198,197,195,196,197,197,118,129,134,139,146,152,158,164,166,170,173,176,180,185,189,185,173,164,151,134,128,128,149,189,201,199,200,201,121,133,137,141,147,154,161,168,171,175,179,182,183,178,168,156,151,155,144,125,115,105,88,104,176,203,202,202,123,134,138,144,150,157,164,170,171,175,174,166,160,153,149,152,145,138,131,108,106,109,86,73,96,194,208,206,124,135,140,144,152,160,166,169,183,177,159,136,144,144,154,140,130,133,113,92,92,93,81,81,71,154,214,207,127,137,142,147,156,162,167,182,206,188,190,137,154,171,156,123,131,118,101,87,85,82,79,80,72,132,214,208,129,138,144,149,158,164,171,189,183,187,187,148,185,188,120,117,115,91,89,81,77,77,81,83,72,151,216,212,133,142,146,152,160,166,174,169,175,197,170,162,206,180,121,112,94,80,79,78,77,74,78,82,80,182,217,214,135,145,149,153,161,167,175,173,183,202,182,178,200,161,146,127,98,77,73,76,77,76,78,74,109,207,216,217,136,146,151,154,163,170,177,181,182,199,193,178,195,174,153,122,95,77,71,74,78,79,79,71,143,219,219,219,138,148,151,157,165,174,179,184,178,199,194,190,192,168,130,97,81,68,72,77,80,80,78,76,179,224,219,221,141,148,151,158,167,175,182,187,184,196,200,196,174,141,100,77,56,52,76,85,81,81,77,87,205,223,220,222,143,151,153,160,168,176,183,188,190,197,201,184,148,109,77,36,19,59,81,88,82,81,71,103,221,223,223,224,146,153,156,163,172,179,184,189,193,190,186,155,118,93,35,3,15,60,83,97,93,85,64,122,229,222,223,223,147,153,158,165,174,179,185,190,195,181,162,128,102,70,12,10,15,46,79,99,103,85,61,142,235,224,225,225,147,156,159,165,175,180,187,192,197,184,143,107,88,52,26,16,31,32,69,107,104,81,65,155,236,224,227,227,150,155,159,167,177,182,189,193,200,180,122,79,67,68,64,46,45,52,83,115,94,83,67,165,238,226,229,229,153,157,160,169,177,183,190,194,199,173,102,98,80,58,67,62,61,101,103,119,88,84,69,180,240,229,230,231,154,158,161,170,179,186,190,199,191,147,81,200,206,137,105,82,118,120,115,116,83,82,68,187,239,228,230,231,154,157,162,171,178,185,188,186,169,93,134,223,213,212,188,152,126,122,135,115,77,80,64,178,241,229,233,235,153,157,162,171,180,185,184,175,125,88,206,213,212,199,179,151,119,139,148,118,77,76,63,152,249,237,230,226,153,158,163,171,178,191,197,155,77,170,219,212,210,200,175,152,121,149,155,121,78,73,74,85,126,106,138,181,154,158,165,169,188,220,167,84,135,211,206,213,208,198,171,150,121,146,164,129,71,75,78,61,43,45,110,133,155,158,164,167,210,168,100,147,209,204,209,210,206,195,174,152,121,126,165,144,75,75,76,68,43,79,75,66,155,159,165,172,185,151,177,206,201,206,210,212,203,192,172,150,123,107,151,157,90,73,74,59,13,54,72,61,155,159,166,175,182,194,197,197,202,206,209,213,200,190,174,144,118,107,115,147,109,75,74,47,8,40,72,54
1,172,174,176,177,179,180,180,180,181,181,181,181,180,180,180,178,176,180,175,174,173,173,171,170,168,168,166,166,174,175,178,179,181,182,182,182,182,182,183,182,182,182,180,182,173,148,178,178,174,173,173,172,170,169,168,167,175,178,180,182,183,184,184,184,185,183,184,184,184,184,181,193,178,101,158,173,177,175,175,174,173,172,170,168,177,180,181,183,185,187,188,187,187,187,187,186,184,189,170,173,175,114,160,125,166,180,177,175,174,174,172,171,180,182,184,186,186,188,190,189,189,189,189,190,186,200,154,138,162,115,173,119,152,187,179,178,177,175,174,173,182,184,186,188,188,190,191,190,191,191,191,191,191,203,142,141,165,118,169,117,140,191,180,180,179,177,176,175,183,185,187,190,190,191,193,193,193,193,194,191,184,200,128,138,163,118,166,121,133,193,183,184,182,181,179,177,185,188,189,192,193,194,195,195,196,196,197,195,148,189,125,133,161,117,165,130,132,193,186,186,184,183,181,180,187,190,192,194,195,195,196,196,197,196,205,180,128,179,117,147,163,116,158,129,132,194,187,187,186,184,183,183,189,191,193,195,196,197,198,198,198,197,210,161,119,166,114,178,167,120,175,145,129,197,189,190,188,187,185,183,190,192,196,197,197,198,200,202,201,200,212,149,128,178,120,173,149,117,191,151,133,199,192,192,189,188,187,186,191,194,198,200,200,202,202,203,202,207,211,127,135,172,103,148,121,112,188,140,137,201,192,193,191,189,188,187,193,196,198,201,202,204,203,204,202,214,207,135,166,143,114,149,135,153,184,134,139,202,194,195,193,191,190,188,195,197,199,202,204,205,204,205,202,222,193,128,184,173,165,156,147,174,167,131,140,204,194,196,196,194,193,190,196,198,201,203,205,206,207,207,205,223,191,169,149,179,196,195,159,133,139,124,139,206,198,198,197,194,194,191,197,199,202,204,205,207,208,207,212,220,195,170,125,149,158,186,190,166,131,103,136,209,200,200,199,196,195,193,197,201,203,204,205,207,209,206,219,218,173,146,136,140,145,179,197,189,171,121,131,212,200,202,199,198,197,195,199,203,205,205,207,209,210,206,226,220,164,150,156,148,172,193,194,204,179,155,119,192,207,202,201,198,196,196,200,203,205,207,209,210,212,208,228,221,171,156,159,159,195,218,204,193,172,154,112,179,210,202,202,200,198,196,201,204,206,208,209,211,211,209,225,225,188,166,154,169,215,227,204,178,151,135,112,180,211,202,202,202,200,197,201,204,207,209,210,212,212,210,222,234,205,172,161,166,226,235,197,162,138,117,111,179,212,204,203,203,200,198,202,205,207,210,212,214,214,213,218,231,204,176,166,156,225,219,185,152,131,114,118,198,211,206,205,203,202,200,203,205,208,211,212,212,214,214,216,224,201,186,167,164,214,200,173,145,126,112,136,211,207,208,206,204,203,201,203,205,208,211,212,213,214,215,215,218,210,205,177,188,207,183,159,136,122,113,174,215,208,208,206,204,203,202,204,206,209,211,213,214,214,215,215,214,214,206,174,171,184,169,144,128,117,126,205,211,210,208,207,205,204,202,204,207,210,211,213,214,215,216,217,216,207,190,167,155,161,157,141,128,114,146,217,211,210,209,207,205,204,204,205,207,209,212,214,214,215,215,216,217,201,176,165,166,162,159,155,127,112,174,218,211,210,209,207,205,204,204,203,205,208,211,212,213,214,214,214,214,210,190,189,183,165,153,153,120,109,195,214,210,210,209,206,205,203,203
10,39,76,79,83,89,94,103,113,122,125,129,133,137,142,145,147,151,152,153,155,155,155,155,156,157,157,155,154,45,77,80,84,90,95,105,114,123,128,132,136,141,145,147,150,153,164,152,156,158,157,158,158,157,157,158,156,50,79,81,85,91,96,106,117,125,131,135,140,145,148,151,151,161,194,135,144,162,160,161,160,160,159,159,158,57,80,83,87,91,97,108,120,129,133,138,144,147,150,154,154,166,193,146,127,166,163,164,163,163,162,162,160,62,81,84,88,92,98,110,122,131,134,139,145,151,154,157,158,165,196,168,121,166,166,166,166,165,164,164,162,67,81,84,88,93,100,113,125,132,150,146,143,155,158,160,161,163,205,192,123,162,170,169,167,166,167,166,165,73,82,85,89,93,101,114,126,136,196,144,104,143,161,163,165,165,203,193,130,153,174,172,170,170,170,169,167,77,82,86,89,95,103,116,127,137,167,131,98,96,168,147,139,170,199,200,136,140,178,174,173,173,173,171,170,79,81,85,90,96,103,117,130,139,145,137,114,102,163,118,112,173,203,209,144,125,181,177,176,175,174,174,173,81,83,86,91,96,104,118,131,141,145,150,142,135,175,115,73,164,198,180,132,103,179,180,179,178,177,176,175,83,85,87,91,95,105,120,133,143,147,152,164,150,180,126,76,128,178,130,106,88,172,182,181,181,180,178,178,84,85,87,92,96,106,122,135,145,148,153,162,159,180,149,120,89,114,100,101,84,165,187,184,184,182,180,180,86,86,88,92,96,107,123,136,146,150,154,166,176,147,171,160,132,83,74,89,84,143,192,187,186,185,183,182,86,86,87,91,97,108,123,137,148,151,154,186,188,128,132,194,170,135,94,80,79,109,194,189,189,188,186,185,86,87,87,92,97,109,125,139,149,152,163,180,200,159,87,161,198,167,136,77,67,86,192,193,192,190,189,187,87,86,88,92,96,109,126,140,149,162,204,154,183,150,99,149,210,181,148,83,61,86,192,195,194,193,191,190,87,86,88,93,96,110,127,141,150,170,219,160,135,165,132,200,201,172,147,95,65,67,177,200,196,195,194,193,87,87,88,93,96,111,128,142,152,160,202,174,121,196,179,216,205,166,142,102,72,62,173,203,199,198,195,195,87,87,88,92,96,111,129,143,153,156,182,178,130,195,148,195,205,175,132,98,78,67,182,203,200,200,198,196,88,87,88,93,97,112,130,145,154,157,178,199,167,164,100,206,203,164,127,96,82,75,190,204,202,202,201,198,88,87,88,92,96,113,130,145,156,159,164,211,207,160,132,219,196,158,123,92,83,80,197,206,204,202,201,199,88,87,88,92,97,113,130,147,156,160,165,190,229,218,198,215,184,149,116,93,87,88,203,207,205,204,202,201,88,86,87,91,96,113,131,146,156,160,167,180,225,223,199,185,167,139,116,101,86,106,210,207,206,205,204,202,88,86,85,89,96,113,130,145,155,159,166,170,161,213,179,154,162,149,132,116,85,125,212,206,206,206,204,202,86,84,85,87,94,112,130,145,154,158,169,158,51,195,163,170,175,174,162,130,78,125,212,207,207,206,205,203,85,82,83,86,92,111,129,145,155,158,171,146,19,161,201,184,161,166,152,107,59,55,208,210,208,207,206,204,82,79,80,84,90,109,128,144,153,158,171,122,22,100,169,157,135,135,109,57,20,82,215,209,208,207,206,204,87,83,83,84,90,108,126,142,151,157,167,106,31,59,62,54,46,46,34,15,4,127,215,207,207,207,206,204
21,127,131,133,136,137,139,140,141,142,143,143,143,144,142,142,142,143,140,139,139,137,137,137,136,134,134,133,132,128,132,134,137,138,140,141,143,144,145,145,146,146,145,144,142,137,142,141,141,139,139,139,138,136,135,135,134,129,132,135,138,139,140,142,144,146,146,147,146,147,146,148,153,88,115,148,141,141,140,140,139,137,136,136,135,131,133,137,139,140,141,143,145,148,148,148,147,148,146,152,154,76,107,151,143,143,142,142,141,140,137,137,137,132,135,138,141,142,143,145,147,149,149,149,149,149,146,159,145,79,117,151,144,145,142,138,144,142,140,139,139,133,136,139,140,143,145,146,148,149,150,150,151,153,147,164,142,80,124,153,144,145,131,90,122,148,141,141,140,134,137,140,142,145,146,147,147,149,151,152,152,153,151,166,138,83,134,152,146,142,120,70,113,149,142,142,141,135,139,142,144,146,147,148,149,151,152,154,154,153,153,167,132,82,139,152,147,137,115,76,138,145,142,142,141,136,139,142,145,146,148,150,152,152,153,154,153,151,157,166,128,78,138,154,146,135,101,89,150,144,145,143,143,137,141,143,146,147,149,151,152,153,154,154,155,150,163,167,120,76,145,152,139,133,85,118,153,145,146,145,144,138,142,145,147,148,150,151,153,154,154,153,152,152,173,163,109,87,158,143,135,118,78,141,151,147,147,146,145,139,142,146,148,149,151,153,155,154,159,153,111,108,159,139,88,92,159,139,138,91,94,157,149,148,149,148,147,140,142,146,148,150,153,154,155,155,158,156,118,85,84,84,65,105,156,143,126,76,132,157,150,149,149,148,147,141,144,147,149,151,153,154,155,158,164,155,153,127,99,64,61,106,133,133,98,85,155,153,151,150,150,149,148,141,145,148,150,152,154,156,156,164,173,164,181,161,118,72,66,80,92,100,73,119,161,152,152,152,151,150,150,142,145,148,150,153,155,156,160,162,134,156,163,151,104,73,65,71,76,74,76,150,157,155,154,153,152,152,152,141,145,148,151,155,156,155,169,148,109,144,110,139,119,85,68,60,70,63,104,164,156,156,156,154,152,153,152,143,147,150,153,155,157,157,172,160,128,99,62,123,140,97,71,60,64,62,132,164,157,157,156,155,155,154,153,145,149,151,154,155,156,159,172,139,104,88,65,101,152,110,81,68,64,63,145,163,159,158,156,156,156,155,154,144,148,151,154,156,156,167,175,135,124,115,88,144,161,121,104,76,68,62,145,166,161,160,159,157,156,156,155,144,149,152,154,157,155,173,172,145,135,105,131,190,158,123,113,82,72,69,149,166,161,161,161,158,157,157,156,145,150,152,154,157,157,176,179,160,122,117,184,178,141,115,111,86,75,77,156,164,162,161,162,160,159,159,156,145,150,153,155,158,158,179,190,149,123,133,190,166,140,111,99,90,74,89,165,162,162,161,161,161,159,158,156,146,150,154,156,159,157,181,175,135,140,137,187,162,142,124,87,83,71,106,170,163,164,164,162,161,160,158,158,145,149,152,154,157,158,175,155,156,148,134,187,158,133,120,90,81,71,126,171,164,164,163,162,161,161,159,158,145,148,150,153,156,158,164,164,180,144,147,178,145,121,103,88,83,75,141,169,163,163,161,160,160,159,158,156,145,149,151,154,157,160,160,171,172,135,133,160,132,107,88,83,78,84,156,167,163,163,163,161,161,160,159,157,146,149,152,154,157,160,161,166,154,134,123,144,129,104,93,83,72,94,166,166,165,164,163,162,161,160,160,158
5,180,181,185,188,187,187,188,189,190,189,192,190,191,191,192,190,196,183,191,189,188,187,185,185,184,182,181,180,182,185,188,189,189,189,192,187,207,196,157,197,193,193,194,190,222,147,183,194,192,189,187,187,186,185,183,182,184,186,189,191,191,194,195,190,204,228,137,192,197,194,192,200,232,133,178,199,192,192,190,189,188,187,186,186,187,188,190,193,193,192,197,194,199,240,147,182,202,197,191,224,210,128,194,197,194,194,193,192,190,189,189,187,189,191,193,193,197,217,164,194,201,251,170,174,206,197,200,239,173,139,206,196,197,197,195,195,194,192,190,189,191,193,195,197,193,234,160,171,204,255,197,167,208,194,224,234,150,167,207,198,201,197,196,197,196,195,192,192,194,194,196,200,192,233,193,150,212,248,190,160,207,203,230,198,131,191,205,202,202,200,199,198,196,194,194,194,195,196,199,201,195,228,230,154,206,238,178,147,208,211,211,143,145,211,202,203,203,202,201,200,199,196,195,195,196,198,201,202,198,213,255,175,190,238,199,152,203,203,193,121,183,211,205,205,204,203,202,202,201,200,198,198,198,199,201,203,203,208,255,206,160,237,199,161,172,182,181,134,203,209,206,207,207,204,203,202,202,202,201,199,199,200,202,204,205,205,247,249,177,206,192,175,130,157,159,148,210,209,209,209,208,207,206,205,204,202,200,199,201,202,204,206,208,205,227,255,244,188,163,176,124,132,135,169,216,211,211,206,206,205,204,203,203,203,204,203,202,204,206,207,208,209,210,248,255,232,155,150,132,126,116,182,216,206,213,220,225,227,227,219,206,205,192,194,204,206,208,209,210,212,208,228,255,251,207,138,124,125,118,143,188,202,197,177,188,204,189,192,206,191,142,173,205,207,208,210,211,213,214,212,248,255,219,155,126,123,119,128,149,173,149,117,141,155,154,170,178,177,142,199,207,209,210,211,213,215,216,212,236,255,217,155,127,119,117,129,124,117,127,182,216,212,216,213,212,186,155,209,208,209,211,213,215,217,218,214,234,255,218,160,131,117,121,119,117,175,213,223,216,218,209,209,196,152,199,212,208,211,213,214,215,218,219,215,242,255,219,167,134,120,116,96,194,235,219,217,220,209,194,212,153,174,221,207,209,213,215,216,216,218,219,217,247,255,213,165,133,118,110,109,163,194,218,220,201,195,199,191,128,193,218,212,210,213,216,218,217,217,219,222,254,251,205,164,129,110,108,121,116,133,156,169,176,194,195,150,157,217,217,207,211,214,215,217,218,220,217,228,255,245,202,159,125,105,108,112,123,146,147,157,182,175,150,176,220,222,178,130,209,213,216,216,218,220,216,235,255,240,195,151,129,108,113,119,142,161,155,152,160,139,186,223,220,205,123,122,212,214,216,218,219,221,218,243,255,229,181,157,139,111,120,140,156,161,159,136,130,198,226,214,226,184,117,120,213,215,217,219,221,221,221,252,255,216,178,169,145,113,122,148,158,158,147,139,207,228,217,229,190,115,106,93,213,215,218,222,223,220,229,255,251,215,186,171,144,114,120,147,148,148,129,204,232,221,227,216,135,104,100,84,214,217,218,221,221,218,241,255,247,223,196,165,135,107,112,134,137,120,179,233,223,231,186,130,110,99,85,74,218,219,221,223,226,225,251,255,244,223,178,127,102,83,89,101,116,171,232,228,231,173,120,112,104,96,86,71,199,203,206,209,187,206,255,250,227,195,132,85,75,64,72,57,137,242,226,229,166,107,109,102,93,90,93,80
21,119,122,128,135,140,145,148,151,156,159,163,164,167,170,172,172,174,175,175,176,177,177,177,176,178,178,178,178,121,124,131,137,143,147,150,153,158,162,164,167,170,173,175,174,175,178,179,179,179,179,180,180,181,181,180,180,122,126,133,139,144,150,153,157,160,164,166,169,172,176,178,161,140,179,181,182,181,182,183,184,184,185,184,184,124,128,135,141,147,152,156,159,162,166,169,172,175,179,184,165,98,174,183,184,184,173,161,186,187,187,187,186,127,131,138,145,149,154,158,161,164,167,171,175,179,180,187,170,104,156,186,187,187,173,114,169,190,190,189,188,129,132,139,147,152,156,159,163,167,171,174,177,181,183,188,175,115,133,189,188,190,177,121,140,192,192,191,190,130,135,142,149,154,158,162,166,169,173,176,180,183,186,187,181,130,118,190,191,191,179,127,120,194,193,192,192,132,137,144,151,156,160,164,167,171,175,179,183,185,187,188,194,152,113,185,193,193,183,134,111,194,195,195,195,134,138,146,153,158,162,166,169,173,177,180,184,187,189,189,200,160,118,168,195,194,188,149,108,195,198,198,197,135,140,148,154,159,164,167,171,175,178,182,185,187,190,192,206,168,128,146,197,196,192,156,106,191,199,200,201,136,142,150,156,161,164,169,173,176,180,184,187,188,189,186,208,188,151,134,200,198,193,162,106,186,201,201,202,136,143,151,157,162,166,170,174,178,181,185,188,191,186,175,177,203,168,132,198,199,202,177,115,184,201,202,202,138,144,152,158,163,168,172,176,179,184,187,190,202,213,200,173,161,151,126,190,201,202,181,117,182,203,203,203,139,145,154,159,165,169,173,177,181,184,187,191,196,192,199,185,156,114,102,168,194,189,173,116,179,205,204,204,139,145,154,160,166,171,173,177,182,186,189,192,192,175,158,141,158,133,123,123,139,157,156,114,174,208,206,207,142,148,156,161,167,172,176,179,183,187,190,193,199,201,178,135,128,160,169,158,126,106,132,108,165,208,207,207,142,150,157,163,167,172,177,181,184,188,192,195,187,175,185,146,91,123,170,174,135,88,98,94,162,209,209,209,143,151,158,163,168,172,177,181,184,189,193,195,184,125,146,155,101,67,116,161,149,114,79,79,152,210,210,210,143,152,159,165,169,173,177,181,185,190,194,196,184,154,132,148,123,93,51,125,168,143,95,73,126,212,212,211,143,150,158,165,169,173,178,182,185,190,194,197,199,179,129,107,124,109,62,90,174,166,125,87,102,212,212,212,142,150,157,163,167,172,178,181,186,190,193,196,206,179,147,119,91,85,90,126,176,184,146,111,92,203,212,213,144,151,158,164,169,172,178,182,186,190,194,196,211,199,172,118,95,106,131,189,195,177,144,115,89,197,212,213,145,152,159,165,170,174,179,183,186,191,195,196,210,202,162,118,114,131,158,212,198,167,128,103,87,198,213,213,144,152,159,164,170,175,180,183,186,191,194,196,206,200,157,142,128,127,175,216,190,157,120,92,87,200,213,214,145,152,160,165,170,175,179,183,187,191,193,196,202,197,173,147,127,126,181,213,184,150,113,91,89,203,213,214,143,151,158,164,170,174,178,183,188,192,195,197,198,193,175,141,136,134,175,204,180,147,107,88,93,205,213,214,119,123,129,136,139,145,150,157,164,170,174,177,182,189,178,143,158,141,161,190,163,132,100,86,101,209,212,213,92,94,93,94,94,96,98,101,103,104,105,107,114,176,177,154,162,147,149,181,145,115,92,84,94,148,155,160
24,108,113,119,123,125,128,130,133,133,134,135,136,136,136,137,137,136,135,134,134,134,133,132,132,131,131,128,127,110,115,121,124,125,128,131,133,134,136,138,138,138,138,139,137,136,137,137,136,135,134,132,133,133,131,129,128,111,117,120,123,130,130,132,134,135,137,138,139,139,138,139,139,137,138,139,137,136,136,134,134,133,130,130,129,113,115,132,145,113,133,134,136,136,139,139,139,140,139,141,140,139,139,138,137,137,137,136,136,134,132,132,130,115,112,151,165,86,136,136,137,137,139,141,142,141,141,142,142,141,139,139,138,138,138,137,136,134,132,132,132,116,114,154,159,80,135,137,138,140,141,143,144,145,145,143,143,142,141,141,139,139,139,138,137,136,135,133,132,118,115,153,165,78,127,141,139,142,143,144,145,146,146,145,144,144,144,142,141,141,140,139,138,137,136,135,134,119,117,148,173,88,123,143,140,143,145,145,145,146,146,146,146,146,146,144,143,142,142,140,140,139,138,137,136,120,121,143,176,92,114,146,142,145,145,147,148,146,147,150,147,147,146,145,144,143,143,142,141,140,139,138,136,120,122,140,183,112,95,145,144,144,153,149,143,161,156,136,150,147,147,147,145,145,143,142,141,141,141,140,138,121,126,137,192,140,95,176,156,130,185,151,101,173,172,102,122,157,149,149,148,147,147,146,146,142,140,140,138,122,127,135,182,146,127,209,154,137,190,155,104,167,159,115,83,148,153,151,150,147,141,135,130,144,141,141,139,124,130,132,178,167,160,213,155,136,197,147,115,183,146,105,65,123,160,149,151,127,104,86,65,123,148,142,141,125,133,132,182,188,174,213,163,120,199,136,119,182,140,83,52,115,156,150,145,106,75,79,103,136,147,144,143,126,131,140,180,181,170,200,167,112,184,138,123,172,129,58,29,108,159,148,123,84,101,148,154,149,145,145,144,128,129,150,176,151,156,181,165,106,173,144,123,169,107,41,70,124,152,113,86,94,156,154,150,149,147,146,145,129,130,158,199,136,130,164,154,99,177,136,125,164,94,126,153,140,116,77,82,148,157,153,153,153,151,148,147,130,128,164,215,153,118,154,149,113,184,115,112,168,158,170,145,118,100,71,142,162,156,155,154,154,153,150,147,129,127,167,218,166,110,147,159,143,177,101,140,192,165,148,137,102,81,122,166,156,156,155,155,154,152,150,147,130,129,166,215,168,123,139,151,138,157,167,196,180,157,143,122,85,94,164,159,158,157,156,155,153,152,151,148,130,129,166,213,176,149,133,158,196,207,211,182,165,154,135,98,76,142,165,160,160,159,159,157,155,153,152,150,130,131,155,215,187,157,146,169,207,209,201,175,153,134,117,79,121,168,160,161,160,161,159,158,156,154,154,151,129,134,143,207,190,160,154,176,211,207,186,169,140,114,89,104,167,162,162,161,160,160,156,157,156,154,154,152,131,138,146,196,178,160,156,177,200,187,167,147,125,98,92,162,171,168,169,168,166,165,163,162,160,162,158,150,104,104,110,184,170,167,164,173,187,177,149,122,107,85,93,112,106,106,105,104,104,104,104,104,104,93,97,127,80,77,72,173,179,174,171,176,182,166,130,107,95,79,73,69,68,68,67,65,64,65,66,57,53,90,141,153,87,88,75,173,198,177,180,177,172,154,119,99,85,79,80,80,80,79,77,76,75,76,74,89,146,176,157,132,87,88,72,165,209,183,189,171,158,149,122,90,78,79,78,80,80,78,78,77,77,71,106,176,176,145,143,119
11,126,131,136,139,143,146,149,152,154,156,158,159,161,164,165,167,168,169,171,172,172,173,174,174,174,173,173,173,127,132,138,141,145,147,150,152,155,157,159,162,163,165,167,168,169,171,171,173,174,175,175,175,175,175,175,175,128,133,139,143,146,148,151,153,156,158,160,163,165,167,168,169,171,173,173,175,176,176,176,176,176,176,176,176,129,134,139,143,147,149,152,154,157,159,162,164,166,168,169,169,157,167,175,176,176,176,177,177,177,177,177,177,130,134,139,143,147,150,152,155,159,161,164,166,167,169,170,173,136,137,176,177,177,177,179,179,179,178,178,178,129,134,140,144,148,151,153,156,159,163,165,167,168,170,170,179,134,126,177,178,179,179,179,179,179,179,178,179,131,135,140,145,149,151,154,156,159,163,166,168,169,171,173,181,122,133,179,179,179,180,181,181,180,180,179,179,131,136,141,146,150,152,154,157,160,163,166,168,169,170,179,178,117,147,180,181,181,182,182,182,181,181,181,180,132,137,143,146,150,153,155,158,160,163,166,168,169,172,186,158,112,159,181,181,182,182,182,182,181,182,181,181,132,138,143,147,150,153,156,159,161,164,166,169,169,168,178,128,112,172,181,181,181,182,182,182,182,182,182,181,132,137,142,147,152,154,157,160,163,165,165,171,177,137,126,110,126,180,180,181,182,182,183,183,182,182,182,181,133,137,143,147,151,157,162,159,151,174,160,135,154,128,99,99,152,182,181,182,183,183,183,183,183,183,183,182,133,138,144,147,161,183,184,163,115,145,150,109,132,121,90,97,170,181,181,183,183,183,184,184,184,183,183,183,133,138,143,153,176,163,172,163,111,134,135,105,145,116,81,112,180,182,182,183,183,184,185,185,185,184,183,182,134,139,143,163,159,141,152,156,108,129,120,109,142,103,75,129,183,182,182,183,183,185,185,185,185,185,184,182,135,140,147,176,151,122,129,141,99,118,105,115,127,91,73,140,183,182,182,182,184,185,186,186,185,185,185,183,135,139,160,181,152,124,124,112,93,111,89,119,115,79,68,140,184,182,182,181,177,173,174,183,187,186,185,185,135,140,179,178,150,126,113,102,103,103,75,130,101,70,77,120,173,176,173,168,160,151,137,141,170,187,185,185,135,143,189,173,149,130,110,96,117,96,66,106,98,102,119,126,151,165,169,162,150,135,127,120,121,178,187,186,135,145,185,173,156,138,116,108,118,124,131,141,150,150,144,148,158,151,139,132,130,143,157,149,138,177,187,186,135,144,181,175,161,145,124,125,146,164,160,159,157,153,138,131,131,120,137,162,177,185,187,186,185,187,187,186,134,145,189,177,161,145,126,132,157,165,155,157,151,137,113,108,125,160,183,187,187,186,187,188,188,188,188,187,134,153,193,166,151,134,125,133,150,152,151,146,129,105,101,141,176,185,186,186,186,187,188,188,188,188,188,188,132,162,177,147,139,132,131,134,136,140,138,118,97,110,157,180,183,184,185,185,185,186,187,188,187,187,188,187,131,169,172,147,140,145,138,136,125,122,111,95,127,168,178,179,181,182,182,183,183,185,186,186,186,186,187,188,134,179,177,147,141,158,142,129,112,101,94,136,171,176,176,177,179,181,181,182,183,183,184,185,188,198,203,204,139,185,180,143,142,160,140,120,99,84,121,168,172,175,176,177,179,179,181,182,182,183,185,185,201,209,210,203,139,186,180,139,142,158,138,118,90,83,151,169,171,173,174,176,178,179,180,182,182,183,184,183,177,160,188,200
8,164,166,166,168,168,169,173,169,169,168,167,167,166,166,165,163,161,161,160,159,157,155,155,152,149,149,147,145,166,168,170,170,171,164,151,172,172,170,169,168,168,168,166,165,163,162,162,161,160,158,155,154,151,149,147,146,169,170,172,171,176,160,80,151,181,173,174,171,169,169,167,167,166,163,162,162,161,160,157,155,152,150,149,149,170,172,173,172,178,139,70,131,186,174,175,172,172,172,169,168,168,167,165,164,163,161,159,158,155,151,151,150,170,174,175,174,179,138,60,135,189,176,177,173,173,173,171,171,171,170,168,166,164,162,161,160,157,152,153,152,173,174,176,177,179,133,51,150,186,178,178,180,179,175,173,172,171,169,172,173,163,164,163,161,159,156,155,153,175,177,179,178,182,135,50,148,189,179,180,166,177,180,177,180,174,125,96,141,139,129,170,161,162,160,158,156,177,179,180,179,185,153,64,134,194,182,159,111,99,171,140,110,132,128,84,56,116,91,171,162,162,160,160,157,179,180,180,181,185,149,56,116,199,172,151,134,88,106,126,79,70,137,111,52,72,82,151,171,162,162,161,159,179,181,183,183,185,151,85,92,195,166,160,151,107,79,128,96,77,137,100,53,44,74,85,173,165,163,162,160,180,183,185,186,185,176,135,84,178,169,155,162,114,64,117,113,70,116,86,47,29,84,59,111,176,163,163,161,181,184,184,185,186,184,143,90,141,145,126,159,118,67,93,121,59,96,127,70,29,88,63,79,179,164,165,162,182,184,185,186,187,188,151,140,129,131,100,142,119,62,64,119,64,88,151,73,44,106,54,111,181,165,166,164,185,185,187,188,189,191,184,161,123,110,101,122,121,70,50,93,60,16,74,37,67,107,48,145,177,168,168,165,186,186,187,189,189,190,189,142,105,77,73,95,137,117,50,29,30,39,27,77,123,92,57,171,172,170,168,167,187,186,188,190,192,193,184,141,113,81,64,66,145,130,73,30,84,138,129,118,129,67,75,186,170,170,167,166,187,187,190,191,192,192,192,166,130,87,68,67,115,108,64,76,142,140,140,103,89,44,104,188,171,171,168,167,185,188,193,192,193,194,191,170,133,97,73,66,102,124,125,149,162,134,125,91,59,37,159,182,174,172,170,168,186,189,191,192,194,194,190,176,142,110,84,67,107,166,177,173,156,125,112,83,25,97,191,175,176,172,171,170,187,188,192,194,195,196,186,173,149,114,86,80,125,177,167,162,141,114,98,63,38,175,183,177,176,174,172,170,189,191,192,194,195,196,180,167,156,119,92,93,137,167,164,157,127,106,87,32,112,195,179,178,177,176,173,171,190,192,192,195,196,198,183,172,162,124,104,97,143,157,162,145,114,95,61,46,183,186,181,179,179,177,175,172,191,192,194,197,197,199,193,179,168,135,109,93,138,149,144,125,97,80,26,122,199,183,183,181,179,178,175,173,190,192,195,196,196,200,196,186,166,136,111,98,126,137,124,105,81,41,58,193,187,187,183,182,180,178,175,172,191,193,196,196,197,198,198,183,158,132,114,106,113,129,113,92,63,30,167,194,186,186,183,183,180,178,177,175,193,195,196,196,197,199,198,184,159,142,131,124,111,123,105,83,32,121,205,187,188,186,184,182,179,178,178,175,191,194,197,198,199,197,194,190,167,159,139,130,118,115,89,54,60,197,192,191,189,187,185,182,179,179,177,174,192,194,197,197,201,190,184,192,170,164,136,130,118,94,77,36,124,206,191,192,189,186,186,184,182,180,179,176
15,96,102,105,106,112,113,118,134,146,156,164,169,178,180,183,186,190,194,198,203,206,207,210,213,215,217,218,219,96,100,98,97,104,109,119,134,145,156,165,172,178,180,184,186,192,196,198,203,206,209,213,217,219,217,218,219,100,91,135,177,124,108,115,132,147,158,165,173,180,181,182,186,192,196,199,204,207,209,213,217,218,216,218,221,103,80,183,231,199,170,147,136,144,150,166,177,181,184,183,186,191,197,201,205,210,212,214,215,217,217,221,222,99,91,128,198,185,181,191,177,172,155,152,155,165,171,179,188,197,202,204,206,208,213,213,216,219,219,222,225,97,102,95,125,139,133,159,173,180,186,175,161,159,157,162,163,164,176,187,201,213,211,215,216,221,222,224,226,98,99,103,104,109,113,131,137,136,172,177,174,166,167,178,183,164,141,130,118,192,220,215,221,222,223,224,227,98,100,104,108,108,112,123,132,124,143,155,153,147,142,174,195,196,163,149,109,98,204,222,219,223,225,227,229,98,99,102,106,108,110,125,140,148,155,155,154,146,139,185,189,195,173,173,148,110,118,216,222,223,227,229,231,96,98,100,104,108,110,126,138,146,160,171,175,165,188,209,191,185,199,184,172,152,105,123,223,224,228,230,232,96,97,100,104,107,113,124,136,157,160,165,176,189,223,213,157,184,204,177,199,173,134,86,136,232,223,230,231,96,98,98,103,109,109,129,192,171,173,167,153,196,194,157,131,166,197,168,216,186,138,111,78,169,236,228,232,96,98,100,104,108,104,144,204,191,208,212,176,137,148,116,71,153,171,168,215,187,144,117,95,86,193,237,234,96,97,102,105,107,108,127,156,168,213,225,180,148,164,154,124,147,157,178,187,177,146,121,99,89,91,204,239,95,96,99,101,104,110,122,139,162,185,182,156,170,177,164,171,173,164,134,125,147,134,116,95,92,76,110,225,95,96,96,97,101,108,124,138,148,159,148,136,166,179,173,180,190,171,126,94,111,113,107,105,94,92,77,129,93,96,96,98,101,106,123,137,146,155,231,153,115,129,172,180,183,164,118,97,105,103,103,108,102,95,92,77,90,91,93,99,98,105,121,137,147,152,245,187,107,38,86,154,172,156,119,104,107,103,106,111,105,100,95,86,90,91,92,96,96,105,122,135,147,152,224,177,92,66,55,79,149,119,101,102,109,111,109,111,106,103,99,89,89,90,93,94,95,105,122,135,149,152,223,175,81,122,79,75,122,138,113,110,117,120,115,109,105,103,99,96,87,88,91,93,94,102,117,132,146,148,213,170,75,179,90,146,103,152,146,135,125,115,112,107,101,99,97,99,86,88,88,92,93,100,115,130,148,140,233,168,62,192,155,108,179,139,124,108,111,106,105,105,104,105,103,99,85,84,82,86,84,94,112,127,142,142,223,145,67,178,204,68,190,173,98,132,87,84,90,87,88,94,99,103,147,141,139,142,142,145,148,151,156,156,172,98,117,189,161,104,186,193,182,201,126,71,71,70,72,75,86,96,114,113,115,118,123,121,117,114,110,109,112,96,116,123,118,116,126,125,127,126,125,92,77,88,98,103,107,109,112,114,112,113,112,111,113,110,104,107,111,117,115,111,113,116,112,112,112,112,113,114,113,124,116,126,123,130,117,115,116,119,116,116,117,117,116,116,121,118,117,121,124,120,118,119,120,121,123,124,116,157,138,139,130,142,120,117,116,117,117,118,120,120,121,121,120,117,116,119,120,120,120,120,119,118,119,124,111,158,181,157,154,155
7,130,134,139,144,148,150,153,155,156,159,160,160,160,160,161,161,160,161,160,159,158,158,157,155,155,153,153,152,131,136,141,146,149,151,154,157,158,159,162,162,164,164,163,163,163,162,161,160,160,159,159,158,157,154,155,154,132,138,143,148,150,153,156,158,160,161,162,164,165,165,164,164,164,163,162,162,162,161,160,158,158,156,156,155,134,140,144,149,153,155,157,161,162,163,165,166,166,166,167,167,166,165,165,163,164,163,161,160,160,158,158,157,136,142,145,150,154,156,159,162,163,165,166,168,169,168,168,168,169,169,169,166,162,161,161,164,161,160,160,158,138,143,147,151,155,159,160,162,163,167,167,169,172,173,172,169,165,159,157,136,154,183,139,161,165,163,160,159,140,144,149,153,157,160,162,165,166,167,169,169,164,155,149,152,148,136,138,124,144,164,111,156,163,161,164,161,141,145,151,155,158,161,163,165,165,165,159,147,133,112,125,140,144,122,110,101,95,113,118,173,183,116,163,164,143,148,153,157,160,162,159,139,135,136,135,134,126,116,101,105,92,93,116,119,117,124,137,162,156,95,162,166,143,148,154,158,163,168,151,134,135,128,118,120,124,110,97,92,109,140,159,141,129,122,104,87,102,143,169,165,144,149,153,160,172,161,145,141,135,107,107,129,142,124,118,109,108,124,129,109,88,76,92,125,158,173,168,167,145,149,159,166,156,152,151,148,115,77,97,111,114,102,100,98,78,84,75,80,106,142,174,178,174,170,169,168,145,156,165,160,157,154,144,147,125,85,81,68,57,48,50,59,69,97,137,166,181,181,174,173,172,172,170,169,161,166,163,163,160,145,140,137,140,119,74,49,26,76,131,138,162,182,186,180,176,175,177,177,175,173,173,172,169,164,160,155,147,141,142,142,140,116,80,57,50,73,158,195,183,182,180,180,179,178,176,176,176,175,175,174,169,162,150,144,138,134,128,124,117,97,74,51,56,51,35,130,190,181,183,181,181,180,178,177,177,176,176,175,162,150,142,134,128,123,118,112,109,99,73,43,47,69,51,61,189,184,184,182,182,182,181,180,178,177,177,176,155,150,135,130,121,119,118,116,116,114,79,44,37,58,54,70,192,184,184,184,183,183,182,182,180,178,176,175,73,130,133,128,123,119,115,114,116,106,73,49,48,32,36,42,146,195,183,185,184,183,182,183,182,179,177,176,15,35,106,136,128,122,114,106,95,79,63,60,57,45,34,28,124,200,184,186,185,184,184,183,182,181,179,178,24,11,17,98,135,120,110,99,89,74,64,58,62,46,63,103,178,192,188,189,188,186,185,184,183,183,181,179,17,15,9,14,95,105,89,77,73,54,36,50,53,54,176,200,191,190,190,189,188,187,185,185,184,182,182,180,13,10,9,4,20,60,59,64,52,22,22,35,65,160,199,187,190,191,191,189,188,187,187,185,184,183,182,181,8,5,3,7,1,0,11,159,126,45,74,115,179,198,191,192,192,192,191,190,189,189,188,186,185,184,183,182,0,0,2,7,3,0,141,194,189,183,190,199,195,192,194,192,192,192,192,191,190,190,190,188,187,186,184,183,32,0,0,12,0,129,195,181,187,192,191,190,193,194,194,194,192,194,193,192,192,190,190,188,188,186,184,184,21,27,8,0,44,192,178,185,187,188,191,192,193,194,195,194,193,193,193,191,191,190,190,188,188,185,184,183,0,11,9,0,72,194,178,184,186,187,190,191,192,191,191,193,193,192,192,191,190,190,189,189,186,184,184,184
2,202,204,204,205,204,204,205,204,203,203,203,197,204,199,201,200,198,198,197,195,194,193,191,189,188,188,184,183,206,207,207,207,207,206,206,205,206,206,201,217,222,148,173,207,203,202,201,198,199,198,195,193,192,190,188,186,210,210,210,211,211,210,209,209,206,204,237,230,163,112,115,184,193,146,195,206,200,199,199,197,196,193,190,190,212,212,211,213,214,213,213,209,215,247,240,152,114,104,116,148,155,106,167,205,201,201,200,199,198,197,193,192,213,215,213,213,215,214,212,225,255,250,180,117,112,103,93,106,109,104,97,166,214,202,204,201,199,198,197,195,215,215,215,216,215,217,209,255,255,177,126,102,104,108,102,76,98,114,100,102,164,215,204,203,201,199,198,196,215,217,217,219,220,214,229,255,209,123,96,80,84,94,96,96,98,100,98,85,160,214,204,205,203,202,200,199,219,220,219,222,221,218,255,248,168,121,102,91,76,98,122,128,103,119,134,172,211,208,207,206,206,205,203,200,222,222,222,223,217,248,255,192,130,103,107,105,94,114,111,115,177,208,215,218,213,212,209,208,208,207,205,203,223,223,225,220,238,255,245,169,119,92,103,100,111,102,138,206,224,220,217,215,216,214,213,210,210,209,206,205,224,225,224,225,255,255,224,162,128,115,98,102,115,149,235,224,221,222,221,220,218,216,215,213,212,210,207,207,227,229,224,240,255,255,198,149,126,126,110,107,110,183,236,222,224,223,224,221,220,219,216,216,214,212,211,209,230,232,225,255,255,243,180,135,123,123,119,105,127,226,230,227,223,224,223,223,222,221,218,217,216,215,213,211,232,228,240,255,255,224,167,135,120,118,120,109,184,241,228,229,227,225,225,225,223,222,221,220,218,216,215,214,234,229,255,255,255,201,150,129,124,116,116,119,223,234,231,231,230,228,226,225,224,224,222,221,221,218,216,216,232,244,255,255,239,184,140,126,123,124,109,146,245,230,234,232,231,231,229,228,226,225,227,225,221,220,217,216,232,255,255,255,220,164,129,124,121,122,91,176,250,233,235,235,233,231,231,231,230,226,221,214,222,225,220,219,246,255,255,251,193,145,129,119,112,107,91,131,242,242,233,235,233,233,233,233,218,196,190,178,149,217,223,222,255,255,255,225,178,148,133,114,100,100,108,99,144,233,246,240,240,238,236,204,197,190,170,133,148,221,226,223,255,255,255,211,181,155,132,103,94,108,107,118,120,133,187,221,209,198,200,191,203,169,140,190,231,228,225,223,255,255,255,212,177,150,124,102,104,123,128,144,155,140,132,165,174,190,198,203,189,137,209,242,229,228,228,227,200,211,221,198,172,142,119,107,116,134,152,156,166,166,155,184,188,194,188,165,133,174,242,231,232,231,229,228,74,74,65,66,84,81,83,97,124,143,154,162,169,172,157,175,161,153,161,178,204,237,236,236,234,232,229,228,83,71,47,43,52,47,37,42,79,139,151,158,165,157,130,137,174,214,234,247,246,238,237,236,235,233,232,230,77,64,47,50,57,46,39,33,27,66,146,152,140,136,177,224,249,250,245,242,243,242,240,238,237,237,235,232,70,60,50,51,50,41,34,29,32,25,79,139,171,231,255,252,246,245,245,245,242,242,241,239,238,238,235,234,65,60,50,51,48,38,31,28,34,22,69,235,254,251,246,247,249,250,247,246,246,243,242,241,239,238,237,235,65,57,49,49,46,37,30,28,36,18,184,255,244,249,249,249,250,248,247,247,247,245,245,245,242,239,239,237
7,212,214,214,216,218,218,218,218,219,219,219,219,219,220,220,219,219,219,220,219,218,217,215,214,212,211,210,208,213,216,217,217,218,220,220,221,221,220,220,220,220,220,221,223,221,221,221,221,220,218,217,215,213,213,213,211,215,217,219,220,221,222,221,221,222,223,223,223,224,224,224,223,223,224,223,223,222,220,218,217,216,215,214,212,217,219,220,221,223,223,224,224,224,224,226,226,225,226,226,224,224,225,225,224,223,222,220,218,219,217,216,213,219,221,222,222,224,225,225,225,226,226,226,226,227,226,227,227,226,226,226,225,225,224,222,222,221,219,218,217,220,223,224,225,225,226,226,227,228,227,226,229,228,228,228,228,227,227,227,227,226,224,224,224,222,220,219,217,222,224,223,226,227,228,228,228,229,229,228,230,229,230,230,229,229,229,229,228,228,226,225,225,224,222,221,220,224,225,225,228,229,230,230,230,232,234,233,231,232,232,232,231,231,232,232,230,230,229,226,225,226,225,223,222,224,226,227,228,228,231,234,237,226,208,222,229,229,228,230,232,233,231,230,230,228,227,232,228,226,225,224,223,225,226,228,232,236,238,240,244,235,203,186,205,218,216,219,219,217,219,220,222,218,229,245,215,230,226,225,224,229,234,238,242,242,238,236,233,232,205,173,186,202,210,210,204,201,204,201,208,201,201,190,212,230,227,226,226,242,243,242,238,233,227,218,218,226,208,177,168,176,193,203,211,210,202,203,206,197,198,202,205,228,224,226,228,241,238,232,227,224,219,218,223,233,220,181,170,170,165,171,175,177,178,186,191,190,192,202,195,203,201,229,228,237,229,219,215,212,214,217,225,221,201,179,173,182,184,178,157,161,207,203,201,195,193,195,198,199,220,232,230,235,225,214,210,211,210,206,215,223,202,170,153,168,185,187,182,163,222,247,240,240,240,238,237,238,236,231,231,237,228,221,216,217,216,212,214,227,214,180,166,171,170,169,169,161,228,241,238,239,238,237,236,234,235,233,235,230,228,226,220,217,216,216,219,227,213,185,183,190,180,181,153,198,250,240,242,241,240,239,238,237,237,238,221,222,225,226,225,220,214,211,213,206,197,183,180,186,183,173,174,246,243,242,243,241,241,240,240,239,242,198,152,188,212,227,223,213,208,202,193,179,165,151,127,137,167,156,207,252,242,243,243,242,242,242,240,245,228,150,153,102,129,172,203,193,178,178,182,203,218,157,118,135,154,177,242,244,244,244,243,241,240,240,242,240,186,144,140,85,79,87,100,158,223,232,245,248,254,234,169,188,209,239,247,245,245,244,242,242,247,243,239,183,140,131,113,81,80,76,79,224,252,245,245,244,244,247,247,248,251,247,246,246,246,244,248,249,211,172,154,135,125,115,102,75,75,66,99,248,242,243,246,246,246,246,245,244,244,246,247,247,245,248,227,177,143,142,134,126,114,104,97,76,76,65,89,247,244,244,245,246,246,246,247,246,246,247,247,246,255,230,151,113,115,132,122,118,117,109,94,83,79,54,86,253,248,249,249,250,251,252,253,252,252,251,252,254,227,167,145,116,96,110,116,110,112,114,98,83,67,50,73,210,216,217,220,222,224,226,227,228,230,230,234,222,146,119,147,112,89,92,107,103,105,114,107,70,54,54,79,149,146,148,150,151,154,157,157,159,160,157,168,168,126,111,140,110,83,89,96,98,99,108,110,58,58,55,98,160,152,152,154,153,152,152,154,153,150,155,164,153,117,105,132,105,83,84,92,94,95,102,108
8,104,112,118,124,127,131,134,135,138,139,143,145,146,149,152,152,155,156,157,158,158,158,161,163,163,163,163,163,106,113,118,124,128,132,136,137,138,146,132,136,149,150,152,154,156,157,158,158,159,161,163,164,163,164,163,163,107,115,120,125,130,134,138,137,146,170,114,101,155,150,152,155,157,158,159,160,163,165,162,163,164,164,164,164,108,116,122,128,130,135,139,134,158,161,95,96,157,151,153,156,158,158,159,162,165,163,167,166,165,165,165,166,110,115,123,130,132,135,139,135,174,139,78,116,159,152,154,157,160,161,162,164,164,165,146,161,167,165,167,167,113,117,124,130,133,137,138,144,178,120,76,132,158,155,157,158,160,162,165,162,175,165,85,132,176,166,168,168,115,118,125,129,132,139,137,157,177,120,82,149,156,156,158,161,166,164,165,163,186,156,70,128,178,169,171,170,115,120,126,130,136,141,135,167,169,115,87,154,151,158,160,151,142,161,166,150,184,159,89,121,181,169,171,171,115,122,128,132,136,141,134,178,162,102,99,154,124,133,168,147,112,113,161,133,182,166,129,96,167,175,173,174,116,124,132,133,135,142,137,189,166,117,163,161,127,114,165,150,107,102,152,124,154,179,139,89,124,182,171,175,118,124,130,132,138,142,143,196,163,144,202,165,121,117,162,136,90,104,143,102,158,189,142,90,104,186,173,177,118,125,130,135,139,140,152,188,151,125,198,177,110,124,160,121,76,103,131,95,184,184,143,86,118,187,175,178,120,126,131,134,138,139,155,182,164,136,178,169,92,138,156,108,78,81,121,95,186,172,133,78,124,188,176,179,119,127,133,135,142,138,163,185,177,169,178,165,114,135,167,125,74,83,118,128,178,150,118,74,136,189,178,181,120,126,133,135,140,139,185,177,171,154,167,178,137,148,185,137,72,104,142,165,171,138,106,73,151,187,178,181,119,126,133,138,138,149,185,146,143,132,143,154,113,147,143,102,132,169,169,146,150,136,105,71,155,188,179,181,121,127,133,138,136,168,183,148,135,124,105,103,97,101,134,170,186,169,162,133,120,122,103,67,159,188,180,183,122,129,134,138,135,192,182,159,142,118,105,101,106,158,208,208,177,162,148,119,101,102,88,76,183,185,183,184,121,130,134,137,148,205,181,163,140,120,107,88,142,209,207,199,177,150,132,106,91,94,69,116,193,181,184,185,123,131,137,133,169,210,177,162,143,131,114,121,194,203,201,189,163,137,118,97,83,87,66,165,190,183,185,186,124,131,140,129,184,212,177,161,151,143,135,174,197,196,189,177,150,126,109,88,81,77,71,179,190,184,186,188,124,131,140,130,198,208,179,170,164,156,174,194,202,184,169,160,137,116,101,83,80,70,91,190,186,186,187,188,126,132,139,132,205,210,181,170,159,162,191,201,197,170,156,147,127,108,91,80,78,62,141,193,186,189,189,188,127,133,141,133,197,213,188,173,161,163,188,194,175,158,145,136,117,98,85,79,65,106,188,185,187,188,189,190,125,132,140,133,190,213,191,179,163,160,176,179,169,157,137,131,111,91,82,69,92,182,187,187,187,189,189,190,125,133,140,136,177,203,175,170,159,160,167,175,173,159,140,129,110,87,69,71,168,190,186,188,188,189,190,190,126,133,141,137,168,186,175,168,170,171,156,163,166,150,132,121,100,75,56,140,189,184,187,188,188,189,190,191,127,134,141,138,164,191,185,178,181,173,154,154,161,146,124,112,92,56,94,185,184,187,188,189,190,190,190,191
12,167,167,169,172,173,173,174,177,178,178,178,178,177,177,176,175,174,175,174,173,173,172,172,171,170,168,168,169,168,169,171,173,174,175,177,178,180,179,179,179,179,179,179,178,177,175,176,175,175,174,173,172,171,170,169,169,170,171,173,174,176,178,179,180,181,180,181,181,180,180,179,179,180,179,177,176,175,176,174,175,173,173,172,171,171,172,174,176,178,179,180,181,182,182,181,182,184,183,182,181,181,182,180,179,178,178,177,177,175,174,174,173,172,174,176,177,180,180,181,184,185,184,183,184,180,183,186,182,166,157,177,183,182,181,179,179,176,175,175,174,173,175,178,179,181,182,183,185,185,186,187,185,155,130,173,187,147,93,113,176,159,171,183,179,179,178,177,176,175,178,180,181,183,186,187,187,188,186,197,199,154,107,106,181,134,105,70,133,120,87,144,183,179,179,178,178,178,179,181,185,185,187,189,188,187,185,196,189,140,102,79,182,145,116,74,117,121,77,73,170,181,180,179,180,179,180,183,186,186,186,188,190,196,158,160,186,134,91,75,195,190,134,94,115,112,82,63,158,185,181,181,181,181,182,184,186,187,189,189,215,201,164,124,178,175,95,66,215,209,125,102,158,128,88,61,165,187,183,183,182,182,184,186,188,189,190,201,232,206,172,107,172,206,107,75,156,151,86,133,183,127,77,64,175,188,186,184,183,183,186,187,188,191,189,209,221,204,166,106,121,165,104,86,101,140,124,149,146,86,51,86,191,188,188,187,185,185,187,188,189,191,195,227,209,173,131,98,60,74,75,99,116,166,194,160,120,88,53,150,194,189,189,188,187,186,188,191,193,190,218,224,200,143,104,87,53,34,115,192,190,182,168,141,126,121,69,164,194,191,190,188,188,187,188,192,194,191,224,229,185,137,134,95,43,101,207,212,199,175,159,129,119,109,70,170,197,192,191,189,189,188,189,193,195,193,229,230,179,134,156,111,106,194,223,214,198,173,151,133,109,91,66,182,196,195,193,191,191,189,190,193,195,198,236,229,194,178,151,158,181,219,220,209,191,169,143,128,101,78,57,178,198,196,194,192,192,189,192,195,196,202,236,229,209,199,163,158,192,221,213,198,185,158,131,116,94,70,51,171,201,197,196,194,194,192,193,195,198,201,232,229,215,203,171,168,198,209,200,183,172,145,122,106,83,62,52,183,201,198,198,195,195,192,194,196,199,201,227,227,220,203,174,159,192,193,184,177,161,131,108,91,73,47,111,203,199,199,197,196,195,193,194,197,199,199,222,225,218,199,165,154,173,178,176,165,146,116,96,82,59,93,198,202,199,200,199,198,197,194,195,197,202,204,216,221,216,179,145,155,169,175,178,160,135,115,95,70,95,196,204,201,200,200,199,199,198,193,195,201,179,163,213,207,190,170,164,171,169,183,180,154,121,112,84,64,181,209,204,202,201,201,200,200,199,194,197,205,119,48,182,217,199,192,180,163,156,181,167,130,107,98,61,140,211,206,204,204,203,202,201,200,199,195,201,176,93,72,90,181,198,186,168,148,136,159,137,108,94,68,105,210,208,207,205,206,204,204,202,201,201,195,205,129,81,92,50,73,103,99,93,89,93,114,102,88,70,65,194,212,207,206,206,206,206,205,203,202,202,197,188,97,82,89,64,20,53,51,46,36,32,33,39,45,31,59,190,212,208,207,207,206,206,204,203,203,203,200,144,84,83,86,76,8,34,49,45,34,32,28,25,21,14,8,142,215,207,208,206,205,205,203,202,203,202
15,25,65,73,90,100,109,119,130,142,147,151,157,161,164,168,171,173,176,178,181,183,185,187,187,190,192,194,196,27,67,74,91,101,111,119,131,143,146,153,159,162,166,169,171,176,177,180,182,185,187,187,188,191,194,196,197,31,69,79,93,103,112,119,132,145,147,153,159,163,166,170,173,176,178,180,184,185,187,188,192,193,196,198,198,37,71,80,96,105,109,119,134,146,147,153,159,163,167,171,175,177,177,181,185,185,187,191,192,194,196,197,199,45,73,81,94,103,134,130,131,145,151,155,159,162,168,172,175,177,178,181,184,186,190,192,193,196,197,197,200,51,74,85,93,111,186,147,126,120,136,155,163,164,168,172,176,177,180,183,185,187,190,191,194,196,197,198,201,58,74,85,97,109,155,155,142,128,114,122,144,164,173,173,175,178,182,184,185,188,192,193,196,196,196,197,201,62,73,86,100,107,117,135,135,133,126,129,127,127,141,171,181,178,181,184,186,188,192,194,196,196,196,199,202,64,74,88,97,108,117,125,134,121,127,137,143,136,123,117,148,177,185,186,185,187,192,194,197,198,199,201,204,67,77,89,99,109,119,127,141,140,139,138,139,139,135,122,118,123,156,186,190,190,192,195,196,198,200,203,205,71,79,92,101,110,118,126,140,147,152,155,140,123,127,140,140,127,115,126,160,189,197,194,196,197,200,203,206,70,80,92,102,111,119,130,143,147,151,159,161,149,137,118,119,127,121,118,125,125,161,198,197,199,201,203,206,71,80,93,103,111,119,133,145,146,154,172,134,118,141,136,101,92,109,134,139,141,113,141,202,198,203,204,206,71,81,95,104,112,119,131,145,144,164,171,138,106,102,133,133,123,135,137,147,155,134,94,153,212,202,205,207,73,82,96,104,113,121,134,146,145,159,144,128,128,132,143,119,131,138,125,141,150,138,127,101,192,206,204,207,75,83,96,105,114,121,133,143,147,153,158,132,145,170,157,126,97,99,82,131,158,138,153,112,127,213,203,206,75,86,97,105,113,121,133,143,148,148,187,152,133,167,153,131,126,114,93,110,119,131,141,128,87,179,211,204,76,86,96,104,114,120,133,145,144,164,179,130,95,103,138,150,147,143,128,110,106,104,115,124,101,117,214,205,75,87,96,104,114,121,135,146,142,177,151,102,91,43,51,110,160,162,153,143,135,107,90,104,108,82,181,214,76,88,98,106,114,123,138,141,150,184,127,81,77,56,40,28,86,165,169,162,152,117,90,99,103,83,122,219,77,89,99,107,116,124,139,137,164,169,97,81,119,102,81,50,16,117,174,163,151,124,109,102,101,96,84,185,78,88,97,106,117,126,138,149,170,124,74,141,154,123,119,103,36,64,177,163,153,141,132,118,106,102,87,117,79,90,99,108,117,125,137,156,128,89,110,178,165,131,132,127,104,76,163,171,165,156,149,132,114,104,100,89,81,91,100,108,115,125,140,144,128,130,158,159,156,144,121,122,122,111,139,170,169,164,153,139,126,113,106,101,81,91,99,108,116,126,139,143,151,159,161,166,157,135,106,102,97,127,132,148,165,161,152,141,130,118,112,106,81,91,99,108,115,128,140,143,148,155,159,164,172,174,163,150,130,128,143,117,140,149,146,141,132,123,111,108,81,91,98,105,113,127,139,143,148,156,160,164,170,174,180,182,182,183,166,143,134,150,144,140,137,128,114,110,81,91,97,104,112,125,137,140,147,155,159,164,170,174,176,178,183,196,198,184,169,167,148,133,132,135,128,119
14,133,135,137,140,143,146,148,150,150,151,152,155,156,156,158,160,159,158,159,159,160,160,160,160,160,159,159,159,132,136,138,141,145,147,149,150,151,152,155,157,158,158,160,161,160,161,162,162,163,163,162,162,162,161,162,161,133,136,139,142,145,147,150,151,153,154,156,157,159,159,160,164,165,163,164,164,164,165,164,163,163,163,163,163,134,137,139,144,147,148,151,153,153,156,163,160,163,159,147,139,144,158,163,166,167,166,166,166,165,165,164,165,136,141,143,146,148,150,152,154,151,175,180,169,156,141,129,130,126,126,120,124,158,168,166,165,165,166,165,165,137,141,145,148,150,152,153,151,170,198,166,134,118,97,78,96,110,103,83,84,97,169,169,168,168,167,167,167,139,142,144,147,151,152,153,154,207,182,129,89,74,66,64,63,74,77,76,84,73,127,174,169,169,171,169,167,139,142,145,149,152,152,151,181,211,152,108,85,57,54,57,46,54,73,90,88,71,80,114,127,135,172,170,170,142,144,147,150,153,154,153,210,180,120,91,66,52,60,58,48,49,66,92,94,66,83,69,96,110,172,171,172,143,145,148,151,154,151,176,215,155,105,83,54,45,52,50,57,56,144,169,167,137,91,86,97,117,176,171,172,143,146,149,151,155,154,213,203,146,103,88,76,55,36,48,57,88,174,175,174,179,115,115,100,116,178,172,172,143,147,153,155,150,182,226,194,144,102,87,77,61,51,51,59,147,176,173,175,173,112,124,102,93,174,173,172,143,148,154,155,147,196,223,191,141,96,83,71,56,58,56,94,179,174,174,176,170,105,123,107,79,151,178,173,145,150,153,157,146,192,225,191,148,109,80,62,51,55,50,124,180,175,175,178,168,102,116,107,84,134,180,174,146,151,155,158,148,194,226,191,151,120,89,64,54,52,45,135,182,178,177,180,156,118,130,115,91,146,179,174,146,152,156,159,145,201,224,194,158,122,95,75,50,50,45,108,172,176,179,184,141,122,134,119,97,163,180,176,147,152,155,160,146,204,226,199,159,130,105,89,57,55,63,66,86,102,128,159,114,121,132,116,105,172,180,179,149,152,156,161,146,203,223,197,162,135,115,99,71,55,69,71,77,88,98,101,101,125,130,111,112,181,180,179,150,154,159,162,148,201,218,195,164,140,117,100,81,55,71,81,95,105,112,114,97,103,123,106,126,184,180,180,150,156,159,162,148,203,216,196,165,140,115,97,89,63,77,91,107,113,114,114,101,93,106,98,146,185,181,181,153,158,161,162,146,201,209,189,161,136,111,97,90,75,81,95,108,113,113,112,104,98,103,94,162,185,181,181,153,158,161,164,150,196,202,181,158,134,113,103,94,85,90,99,107,110,109,107,104,104,98,123,181,182,181,182,153,157,162,164,157,199,203,182,160,136,122,111,99,91,96,103,106,110,106,103,106,103,134,178,185,185,184,182,154,158,162,165,159,206,206,184,163,138,121,107,100,96,95,103,106,109,105,107,102,144,185,186,185,186,184,185,155,159,164,167,155,209,206,187,166,137,115,101,102,102,98,104,108,111,108,102,126,183,186,185,186,186,183,185,156,161,164,166,157,211,200,182,161,132,108,102,105,105,103,108,112,111,103,124,179,186,186,186,186,186,184,185,157,162,164,166,160,208,197,182,163,135,106,103,105,102,100,107,111,105,132,183,187,187,187,187,187,187,186,185,159,162,164,166,166,204,198,185,173,146,106,100,101,101,100,104,104,128,182,190,189,187,187,187,186,187,187,187
12,224,225,226,228,230,230,230,232,231,232,232,232,232,234,234,233,233,234,235,234,233,234,234,234,233,232,232,231,226,228,229,229,230,231,232,234,233,234,234,234,234,234,234,237,235,236,237,235,235,236,235,234,234,234,233,232,228,229,230,231,232,232,233,235,234,234,233,236,236,239,238,229,237,236,236,238,237,236,237,236,235,235,235,235,229,231,231,233,233,234,234,236,234,238,246,235,233,255,249,210,197,244,241,221,234,237,236,237,237,236,237,236,230,231,232,234,235,236,236,235,238,255,255,232,212,255,253,205,149,231,249,200,189,242,238,238,238,238,238,237,230,232,234,236,236,237,237,233,243,255,255,229,207,255,251,213,149,234,233,196,150,225,245,237,239,238,238,238,231,233,235,237,236,238,237,234,249,255,255,232,202,255,247,220,176,246,224,179,140,201,251,239,240,240,241,241,233,235,237,236,238,235,246,255,233,232,255,255,190,255,255,211,191,249,232,178,132,189,251,240,242,241,241,241,234,235,237,238,239,236,255,255,228,189,225,232,171,233,255,174,192,255,210,163,129,183,250,241,243,243,242,242,236,237,238,240,237,250,255,255,248,188,198,195,136,160,181,149,200,223,161,138,131,177,253,242,244,244,243,242,237,238,239,240,237,255,255,255,250,210,174,183,139,125,126,218,245,226,184,179,168,183,255,243,245,245,243,243,238,239,241,241,238,255,255,255,255,225,183,140,164,145,215,255,255,252,220,215,194,190,255,245,246,245,245,244,238,240,241,241,241,255,255,243,248,228,190,148,144,196,255,255,255,250,225,205,181,171,252,247,247,245,245,245,240,241,243,240,253,255,255,236,234,231,200,168,134,255,255,255,255,251,227,197,168,171,254,248,249,247,247,247,241,243,245,240,254,255,255,255,224,217,235,205,169,255,255,255,255,249,216,192,163,171,255,248,250,249,248,248,241,243,245,244,248,255,255,255,232,207,212,224,246,255,255,255,255,243,215,190,166,158,252,252,250,250,249,248,242,243,245,243,251,255,255,255,252,245,218,254,255,255,255,255,255,238,219,185,161,156,252,254,251,250,251,250,244,244,246,244,254,255,255,255,255,255,242,253,255,255,255,255,255,242,214,181,150,177,255,250,253,251,252,252,244,245,247,246,252,255,255,255,255,255,248,252,252,255,255,255,248,242,200,171,141,223,255,251,254,253,253,252,245,246,248,249,249,255,255,255,255,255,242,252,252,255,255,246,246,229,188,152,162,255,254,254,254,254,254,253,245,246,247,251,247,255,255,255,255,249,236,245,249,255,255,245,235,209,172,135,221,255,255,255,255,254,254,254,248,251,253,255,251,255,255,255,255,247,242,250,254,255,255,240,222,193,143,171,255,255,255,255,255,255,255,255,239,227,217,210,195,190,189,170,164,164,159,163,154,156,152,146,146,143,123,224,255,255,255,255,255,255,255,255,186,176,171,168,152,140,138,134,125,116,111,109,96,93,95,92,89,90,94,115,166,247,255,255,255,255,255,255,182,170,174,166,156,147,143,137,129,122,118,112,103,100,99,97,93,91,89,85,71,230,255,255,255,255,255,254,205,167,173,166,155,148,139,135,127,120,116,109,100,99,100,98,92,89,91,75,153,255,255,255,255,255,255,255,222,169,172,162,154,147,137,132,125,119,114,108,101,100,99,97,91,85,88,75,226,255,255,255,255,255,255,255,232,171,169,163,157,147,141,132,126,116,111,108,102,100,99,96,91,87,87,91,249,255,255,255,255,255,255,255
7,207,207,207,207,207,207,207,206,206,205,204,203,202,201,200,199,198,197,195,193,191,190,188,187,185,182,180,179,208,208,208,208,208,208,208,208,207,207,206,205,204,203,202,201,200,199,197,195,193,192,191,189,187,185,182,180,209,209,209,210,211,210,210,210,209,209,209,208,207,206,204,203,202,201,199,198,196,194,193,191,189,187,185,183,211,211,211,211,212,212,212,212,212,211,210,210,209,208,206,205,204,202,201,199,197,195,195,193,191,189,187,185,213,213,213,213,214,214,214,214,213,212,211,211,210,208,206,203,200,195,188,183,186,185,188,195,194,192,189,187,215,215,214,214,215,214,215,215,214,213,212,208,202,193,183,175,171,164,152,151,173,172,169,192,196,194,192,189,216,216,216,216,216,216,214,213,209,201,191,180,169,157,143,143,141,134,129,129,144,146,158,189,196,195,193,191,216,217,217,216,211,202,191,182,176,168,159,151,146,136,124,122,119,112,111,104,104,119,138,155,177,194,195,193,217,218,216,205,185,164,153,151,150,150,146,141,133,122,119,115,109,110,111,105,101,98,99,115,140,186,196,195,218,216,205,187,169,146,133,134,130,128,127,128,130,132,135,125,106,109,111,100,93,84,84,100,127,183,198,196,212,200,188,181,167,144,127,121,119,125,135,143,146,143,135,117,93,92,95,88,89,92,101,122,158,193,199,198,190,182,180,177,168,157,146,142,142,147,149,143,137,129,118,101,90,100,119,137,154,167,179,190,198,202,200,199,177,177,178,175,171,162,146,134,130,129,124,112,106,109,119,129,148,174,194,203,207,208,207,207,205,203,201,199,178,180,178,176,170,152,121,98,97,94,83,73,70,100,163,200,211,215,215,214,213,211,209,208,207,203,201,199,182,181,178,169,155,134,99,78,74,65,57,54,53,64,126,204,219,218,217,215,214,212,210,209,207,204,201,200,182,181,171,155,142,127,106,90,71,57,54,52,52,62,123,202,218,217,216,215,213,210,209,207,206,204,200,196,182,177,162,147,138,134,133,120,83,59,55,54,63,116,187,215,219,217,215,214,212,209,208,206,204,197,175,149,180,168,149,136,131,133,136,116,76,55,50,48,90,184,217,220,219,217,216,215,213,210,206,199,183,153,106,77,166,148,130,125,122,120,116,92,66,51,47,50,100,201,221,220,219,217,216,214,207,194,172,142,108,80,62,52,146,135,128,126,118,107,98,86,73,57,54,68,135,210,221,219,216,212,209,196,159,120,92,73,61,56,54,47,136,133,129,121,105,90,90,95,82,61,65,121,190,212,209,192,165,152,144,121,88,70,58,52,52,53,52,45,131,123,110,96,85,84,91,93,76,66,89,136,156,151,137,105,77,71,66,62,55,55,51,40,44,51,52,43,115,103,95,90,86,84,82,74,74,91,101,100,92,86,78,59,44,49,45,48,45,44,44,32,36,46,49,39,104,100,97,92,83,77,75,82,101,112,100,83,72,65,59,51,36,39,39,38,39,39,37,28,31,42,45,34,91,90,88,84,79,82,95,108,110,96,79,67,59,52,48,44,35,30,35,32,34,35,31,26,30,40,42,30,81,85,89,93,98,105,112,111,96,70,57,55,51,44,43,40,34,23,27,28,29,33,28,25,31,38,40,27,106,110,114,117,115,113,111,99,73,54,44,45,46,39,37,34,31,20,21,26,27,32,26,25,32,37,37,24,116,118,118,119,116,112,104,83,54,44,40,39,43,34,32,28,28,21,18,25,27,31,24,26,32,38,36,21
4,193,193,193,194,194,194,193,193,193,194,193,194,194,194,195,195,195,194,194,193,194,194,193,193,193,192,190,189,195,194,195,194,194,194,195,195,194,195,194,194,194,197,196,196,197,196,196,195,194,194,193,194,193,192,191,191,196,195,196,196,196,195,196,196,196,196,196,196,193,195,197,196,196,196,200,198,196,195,195,195,195,193,192,193,196,197,197,196,198,197,197,197,198,197,196,207,196,171,172,194,183,162,176,199,198,196,195,195,195,195,194,194,196,196,198,199,200,199,198,197,200,196,189,198,220,189,145,184,197,155,120,175,173,181,197,196,196,196,196,195,199,199,199,200,201,200,200,198,210,216,199,156,193,208,146,178,210,166,119,173,154,119,170,202,198,198,197,196,200,200,200,200,200,201,200,203,209,212,203,156,165,202,136,162,216,165,137,196,167,113,114,197,200,199,198,199,200,201,201,202,201,202,200,211,203,192,204,147,143,195,145,136,195,141,134,200,178,121,105,197,200,201,199,200,200,201,202,203,202,201,203,215,183,154,193,154,126,190,179,158,169,159,179,211,191,132,126,204,201,201,200,201,200,201,202,204,203,202,210,210,180,145,167,149,109,148,171,178,177,190,200,200,177,145,124,198,203,202,201,201,201,201,202,204,203,206,215,203,187,157,133,109,95,119,119,153,162,171,180,177,159,163,111,167,207,203,203,202,202,202,202,204,205,210,211,186,161,145,124,99,97,124,97,115,133,136,150,146,163,173,123,132,207,203,203,204,202,203,203,204,205,213,213,180,144,121,114,103,107,127,114,141,146,130,110,145,200,187,147,108,189,206,205,206,202,202,203,205,205,219,224,194,155,118,99,97,115,120,137,171,175,147,140,170,207,201,173,113,149,210,206,208,202,202,202,204,204,222,227,203,162,118,99,97,120,130,168,177,180,176,196,201,195,205,176,119,117,207,207,207,201,201,202,203,204,224,228,211,167,118,109,102,113,138,170,177,194,204,203,203,191,181,156,121,104,196,207,207,201,201,203,203,205,227,225,216,170,125,127,120,118,149,172,195,205,204,199,192,178,151,130,114,110,194,207,206,201,201,203,205,208,225,222,208,171,151,143,127,156,187,202,213,209,200,189,177,159,134,108,99,162,206,206,206,202,202,203,205,208,225,222,211,187,169,152,132,176,210,212,216,208,192,178,163,144,118,94,138,203,208,208,207,202,202,204,204,203,224,222,218,202,177,165,146,171,212,213,212,199,176,164,150,130,103,112,194,210,209,208,207,202,203,204,206,199,216,221,222,208,186,171,160,171,210,210,202,186,164,150,134,114,98,168,210,210,210,208,207,201,201,202,204,198,206,220,214,198,186,174,163,172,199,198,186,171,152,139,120,96,131,208,212,211,211,211,210,142,144,147,150,147,188,226,208,191,185,179,167,174,187,185,170,153,138,129,108,97,176,206,206,206,206,205,205,98,100,100,103,95,169,222,206,197,195,184,170,174,185,181,165,139,124,116,97,101,129,132,133,136,142,162,191,103,104,103,105,98,169,223,208,201,198,186,171,174,187,185,161,123,111,102,93,99,97,99,112,152,173,186,198,104,104,104,105,98,168,227,210,203,201,197,174,167,184,178,142,110,101,94,103,111,126,175,196,195,213,206,185,105,106,105,106,99,166,227,210,203,208,208,176,156,177,163,124,102,91,96,142,181,201,215,203,170,172,199,199,103,105,104,106,101,167,221,204,198,207,209,174,152,172,155,115,94,90,155,211,220,207,193,178,161,143,164,190
4,186,189,190,195,196,199,203,204,203,207,207,208,209,211,211,210,210,210,209,207,209,208,207,208,207,206,205,205,186,190,191,196,197,201,203,205,205,207,209,210,209,213,213,210,212,212,212,209,210,208,207,207,209,208,207,206,187,191,194,196,198,201,203,206,207,208,211,211,211,211,214,215,212,212,214,212,211,210,210,209,210,209,208,206,189,193,196,198,201,203,205,207,210,209,210,212,209,222,209,198,216,217,203,215,214,212,212,212,210,208,208,208,191,194,197,199,202,205,207,208,209,209,212,206,235,241,206,165,211,229,180,173,217,216,214,213,212,210,209,209,191,195,199,200,203,205,208,211,205,245,247,203,216,255,206,170,231,226,191,125,198,198,204,218,213,211,210,210,192,197,199,203,206,206,210,209,217,255,255,226,161,251,212,166,255,231,166,155,223,164,137,208,215,211,212,212,195,199,200,205,208,207,213,205,242,255,255,210,152,244,214,172,245,217,197,223,183,152,104,160,223,212,214,213,195,198,202,206,208,211,212,209,255,237,254,191,135,214,225,227,226,250,255,238,153,115,103,146,226,215,216,215,196,201,204,207,209,213,210,220,255,224,237,205,113,192,207,232,250,255,252,231,189,121,87,162,227,215,216,215,197,201,205,207,210,214,208,253,255,217,208,209,102,176,173,140,203,229,215,234,206,145,87,178,227,216,217,217,197,201,206,208,211,210,218,255,231,195,185,147,103,179,174,105,215,177,195,253,217,164,109,204,224,218,218,218,199,204,207,210,213,207,236,255,219,178,170,151,134,153,150,118,207,139,162,255,238,185,122,209,225,219,219,219,199,204,207,210,215,205,255,255,220,176,154,133,138,143,144,158,171,180,198,255,253,196,121,163,231,220,221,220,200,204,207,211,216,207,255,255,220,172,149,134,144,142,172,200,215,253,249,234,234,188,142,128,227,223,223,222,202,205,209,213,215,213,255,255,214,167,167,150,140,132,188,226,253,248,243,222,183,193,154,134,225,223,223,222,201,205,209,213,213,223,255,255,210,184,196,163,143,183,245,255,252,248,228,197,157,163,129,164,233,222,223,222,198,203,206,212,211,227,255,255,225,226,211,168,213,255,255,255,250,238,208,176,149,131,121,208,227,224,223,222,200,204,207,213,211,232,255,255,253,242,223,180,249,255,255,255,232,218,191,168,144,112,160,233,223,226,224,223,200,204,209,214,211,232,255,255,255,235,229,193,254,255,255,255,214,195,178,162,132,118,216,229,226,227,224,224,202,205,209,215,215,221,255,255,255,237,221,211,255,255,255,235,201,177,169,148,110,168,236,225,227,226,226,224,203,206,210,214,216,217,255,255,253,242,223,217,240,250,229,205,184,178,165,124,123,225,231,229,227,226,225,223,202,205,210,214,217,217,255,255,242,248,232,217,231,240,220,193,170,170,151,109,188,237,227,228,227,225,223,222,201,206,210,215,218,216,255,243,240,245,226,201,226,243,215,178,153,156,128,154,237,232,232,229,228,228,227,226,196,199,202,206,212,206,255,254,246,235,222,199,214,241,198,155,144,139,129,206,219,216,217,214,213,213,214,207,135,135,136,135,138,128,255,255,255,241,226,205,202,234,186,147,137,127,119,128,127,125,125,123,123,127,115,134,121,123,123,122,128,110,241,255,255,246,237,211,186,231,195,146,126,119,117,114,114,114,112,112,113,103,154,242,130,131,131,133,137,117,223,255,255,239,234,211,173,222,197,139,122,116,120,122,121,119,120,122,109,169,255,253
16,86,84,81,80,80,81,82,84,85,91,103,114,124,132,140,147,150,153,156,158,163,169,173,177,181,184,187,189,85,83,81,80,80,81,82,83,84,91,103,113,123,131,139,147,151,154,154,156,162,168,173,177,180,184,187,189,84,83,80,79,79,80,81,82,83,91,102,112,122,131,139,146,155,164,154,142,148,161,171,175,180,183,186,188,84,82,80,79,79,79,80,81,82,90,101,112,122,135,146,155,172,173,152,130,118,125,148,169,179,183,186,188,84,82,79,78,79,79,80,80,82,90,102,112,126,161,174,175,177,161,139,124,109,96,100,128,161,179,185,188,84,81,79,78,79,79,79,79,81,89,100,112,145,183,178,169,161,145,127,112,104,96,86,86,108,139,161,174,83,81,80,78,78,78,78,79,80,88,100,131,171,174,159,149,139,128,113,99,97,98,91,83,82,89,104,119,82,81,79,78,77,77,78,79,80,90,114,158,168,153,141,129,116,106,97,91,90,99,98,90,85,80,79,81,81,79,77,76,76,75,77,77,83,115,145,155,145,133,120,106,95,88,87,84,79,98,103,103,93,84,78,74,79,77,75,75,75,75,75,75,106,161,159,139,125,112,98,88,80,78,80,72,73,101,108,113,99,88,78,72,86,84,81,80,80,80,79,85,148,184,158,126,103,90,82,75,70,73,69,56,73,105,110,115,104,92,80,74,122,119,117,114,111,108,107,129,179,177,142,107,81,70,66,61,62,63,49,43,77,105,111,121,114,102,87,80,118,116,115,114,112,111,122,167,177,153,117,86,67,60,54,44,43,37,27,31,74,103,114,132,128,113,96,83,111,111,111,111,109,111,141,170,150,120,92,71,60,57,46,28,20,15,14,21,64,100,119,139,131,117,104,82,114,114,114,114,113,129,166,156,120,88,72,63,60,58,46,25,12,10,11,16,48,94,127,139,118,113,105,78,115,116,116,115,118,152,167,130,92,70,62,62,64,65,61,46,23,16,17,19,37,98,140,127,101,102,94,71,116,118,118,118,137,157,135,97,76,81,74,69,71,72,70,63,45,38,38,36,62,130,140,109,88,85,76,65,116,117,117,130,155,135,97,73,84,105,91,86,84,80,76,68,59,55,52,58,114,147,124,92,76,70,64,62,117,116,118,148,144,102,73,76,101,103,92,90,87,81,77,70,62,59,55,90,154,146,105,75,65,60,60,62,116,116,119,136,116,83,79,99,111,107,103,95,84,76,75,71,66,68,76,133,172,143,90,62,57,58,60,60,115,116,117,118,109,100,105,113,116,115,113,107,99,91,94,93,93,99,113,167,180,146,86,55,58,65,64,61,114,115,116,116,115,114,114,115,116,116,116,116,115,113,114,114,114,115,124,173,181,146,90,65,80,76,69,66,112,114,115,115,115,115,115,114,116,116,116,117,117,117,117,116,117,116,120,156,165,134,91,95,118,96,82,79,111,113,114,114,115,115,114,115,115,116,116,117,117,117,117,117,117,117,117,133,140,111,91,111,135,120,98,92,111,113,113,114,114,114,114,115,115,115,115,116,117,117,117,117,117,117,117,119,120,105,101,114,135,147,122,109,111,112,113,114,114,114,114,114,115,115,115,116,116,117,117,117,117,117,116,116,117,114,115,115,126,159,149,133,111,112,113,114,114,113,113,114,114,115,115,115,116,116,116,116,117,117,116,116,116,116,118,117,119,158,168,152,112,112,113,114,113,113,114,114,114,115,114,114,115,115,115,115,116,117,116,116,117,117,118,117,116,153,176,163
20,158,161,165,168,171,173,175,176,177,178,180,178,177,177,177,175,176,161,169,173,172,171,170,168,166,166,165,164,159,163,167,170,172,175,177,178,179,180,181,181,180,179,178,181,185,133,140,171,171,171,171,169,169,169,167,165,160,165,168,171,174,177,178,180,181,181,182,182,181,180,180,187,185,125,110,150,138,170,172,171,171,170,168,167,163,166,169,172,175,179,180,182,183,183,184,183,182,182,181,191,181,120,111,153,107,159,175,174,173,171,170,169,164,168,172,174,178,180,182,185,185,184,186,186,185,184,183,201,185,123,117,154,107,151,178,176,175,173,172,171,166,170,172,175,179,181,183,186,186,186,187,187,187,186,185,208,180,122,126,157,114,151,180,177,176,175,173,172,167,171,174,177,180,182,185,186,186,188,188,188,188,188,191,202,161,111,148,167,120,146,182,179,178,177,174,173,169,173,177,179,181,184,186,188,188,189,190,189,190,189,199,198,152,98,155,162,115,146,183,180,179,178,177,174,171,175,178,180,183,185,187,190,190,191,192,190,172,161,203,196,144,97,163,157,106,151,184,182,181,180,178,176,172,176,179,181,185,187,189,190,192,194,193,199,165,118,179,168,111,114,179,155,106,159,187,184,182,181,180,178,174,177,180,183,186,188,190,191,194,195,198,207,177,137,138,105,76,128,168,141,101,169,187,184,183,183,181,180,175,178,181,185,187,190,193,194,195,191,170,185,194,162,123,97,83,125,136,113,102,181,188,186,186,185,183,181,177,180,183,187,189,192,194,195,207,198,148,148,193,161,144,134,129,132,105,92,124,191,189,188,187,186,184,182,177,181,185,188,191,193,195,203,219,209,163,147,175,169,159,149,154,139,89,77,152,194,190,189,188,187,185,184,179,182,187,189,192,195,195,212,210,210,165,140,182,174,144,139,145,127,98,73,160,195,192,190,189,187,187,186,180,183,188,191,193,195,198,223,204,192,171,121,152,140,85,87,140,137,115,79,154,197,193,192,190,188,188,186,181,185,189,192,195,196,204,219,190,178,170,103,77,72,55,65,139,165,131,91,111,192,195,193,192,190,188,187,183,186,189,193,196,198,204,228,215,193,164,132,88,58,94,153,172,177,146,103,79,166,197,194,193,192,190,188,183,187,191,194,196,199,207,232,221,193,160,160,107,91,172,204,191,165,141,105,82,157,198,195,194,193,191,188,184,188,192,195,197,200,207,232,223,187,156,138,105,147,207,194,171,156,118,101,86,175,198,196,195,194,192,189,185,189,194,195,198,201,207,229,219,187,176,134,148,211,203,172,150,151,111,86,99,195,198,197,196,195,193,191,186,190,194,197,201,202,207,226,217,195,183,142,181,215,191,169,151,145,119,73,131,203,200,199,198,196,194,192,187,191,195,198,201,203,207,219,214,197,183,146,173,194,177,162,141,128,104,77,176,203,201,200,198,197,195,193,187,191,195,198,201,203,200,213,212,198,175,144,144,162,156,140,120,107,78,125,203,203,202,201,199,198,195,193,186,190,194,198,203,174,103,162,200,191,150,121,122,133,147,128,103,77,87,188,206,204,202,201,200,198,196,194,186,189,193,199,182,101,62,78,143,159,132,122,127,132,147,119,87,75,160,206,203,203,202,201,199,197,195,193,186,190,195,188,109,64,64,61,75,121,137,133,130,131,135,104,73,135,206,206,204,203,202,200,199,197,195,193,186,191,195,130,72,68,59,60,58,71,107,118,121,119,107,84,88,191,209,206,205,203,202,201,200,198,196,195
8,159,162,164,166,168,166,169,170,169,169,169,170,170,169,168,168,166,166,165,165,164,163,162,161,160,160,159,158,161,163,166,162,153,171,170,170,170,169,170,171,171,170,169,169,169,167,166,165,165,165,164,163,162,161,160,159,163,162,173,163,112,163,174,172,170,171,171,172,172,171,171,170,169,168,169,168,167,166,166,164,164,163,162,161,164,164,175,174,103,143,179,173,174,173,172,173,172,172,172,171,170,169,169,169,167,167,167,165,165,164,162,162,164,166,172,186,107,130,182,173,176,174,173,173,174,173,173,171,170,171,171,169,169,167,167,167,166,165,164,164,165,169,171,179,112,119,184,175,177,177,179,174,176,178,176,173,172,173,171,170,170,168,170,169,167,167,165,164,167,171,171,185,144,108,180,178,175,164,164,179,173,157,166,179,177,175,172,173,171,170,170,170,169,169,167,165,169,171,169,187,159,96,167,180,190,171,130,158,188,138,115,167,162,173,177,172,174,172,171,171,171,169,167,166,170,173,172,183,165,114,139,185,203,200,153,111,184,155,150,115,115,117,172,178,174,175,172,173,172,170,168,167,172,174,174,182,188,144,127,176,197,206,176,105,146,160,165,151,137,122,133,173,175,175,174,175,173,171,169,169,173,175,175,178,191,141,137,166,170,196,180,113,115,152,133,175,177,179,148,108,173,176,174,174,174,172,169,169,173,176,177,178,189,174,154,179,167,171,182,113,94,134,89,150,166,178,157,95,162,180,174,175,175,174,172,170,174,177,180,178,198,196,146,148,165,147,181,143,91,113,89,117,164,183,160,96,161,182,175,175,176,176,174,171,176,178,180,178,196,175,130,129,138,123,163,180,109,93,82,126,182,194,164,96,162,183,176,177,177,177,176,173,177,179,181,178,195,194,155,128,121,116,131,142,113,100,77,138,187,194,161,96,163,184,178,179,179,178,176,174,177,180,182,179,200,200,168,136,118,118,114,156,155,116,133,170,182,185,146,88,153,187,179,179,179,178,176,174,177,180,182,180,203,198,173,150,120,104,127,174,173,175,184,176,161,154,123,82,143,189,179,180,179,179,178,175,176,180,183,182,206,198,177,162,139,107,122,167,196,201,191,170,143,123,105,83,169,185,181,180,179,179,177,175,178,181,183,183,207,199,180,164,150,121,120,176,206,201,186,163,128,105,79,118,191,181,182,181,180,179,177,176,180,182,185,184,203,203,187,171,160,132,131,189,203,191,166,146,114,87,82,177,186,183,183,182,182,181,179,177,180,182,187,185,198,205,191,176,169,140,136,194,192,171,147,125,103,71,135,195,183,184,184,182,183,182,180,179,180,182,185,186,194,206,195,179,166,138,139,183,180,161,139,113,88,88,185,186,185,185,183,183,183,182,180,179,179,181,184,184,195,209,193,175,153,125,144,170,154,148,133,107,69,147,194,183,185,185,184,182,181,181,180,178,181,183,187,181,198,205,185,167,142,132,148,158,137,130,127,82,100,192,185,186,186,185,183,182,182,180,179,178,181,183,187,180,208,202,186,170,151,146,151,146,131,124,105,82,173,191,186,186,186,185,184,183,180,179,185,183,181,183,182,189,211,197,187,173,153,156,148,129,123,111,78,143,194,186,187,186,185,185,183,186,189,186,153,106,181,185,177,196,203,180,173,163,151,152,139,114,113,87,105,190,188,188,187,187,189,190,188,171,138,96,58,46,181,184,174,202,198,168,151,144,142,152,134,100,109,74,156,195,188,189,187,180,165,151,118,75,45,34,39,43
24,142,145,147,151,154,157,157,159,161,162,162,164,163,165,165,165,165,164,164,164,163,162,164,162,162,160,158,157,145,148,151,155,157,161,161,162,164,165,165,166,167,168,166,167,169,169,167,166,166,166,166,164,164,162,161,160,146,149,153,156,159,163,164,165,166,168,169,169,170,170,168,170,171,171,172,171,168,167,168,168,166,164,162,161,148,151,154,157,160,163,165,168,169,172,172,173,173,172,173,173,174,172,173,173,171,171,171,171,169,168,167,166,150,152,155,160,161,164,169,170,172,174,173,175,174,174,176,177,177,176,177,175,174,176,174,173,173,172,171,168,153,155,159,164,165,172,168,172,174,174,175,175,177,178,179,179,179,181,181,178,175,177,176,176,176,175,173,170,155,158,165,161,189,203,130,173,177,178,178,179,182,182,180,181,181,178,181,182,179,179,180,179,177,175,175,173,158,162,166,166,187,217,127,152,185,181,180,179,185,181,181,184,184,217,203,158,181,183,182,183,180,180,179,175,159,164,167,173,170,215,168,128,185,185,180,193,178,188,230,180,154,243,223,137,130,192,182,182,183,183,182,180,160,164,170,175,171,192,229,159,154,186,197,241,187,189,245,205,131,206,235,154,87,180,188,184,185,183,182,182,163,168,172,175,179,176,228,201,130,168,219,249,224,176,233,227,146,181,234,158,75,163,196,188,187,188,187,162,166,170,174,178,182,178,197,224,195,170,202,249,235,174,205,229,146,148,212,139,64,156,198,191,188,199,176,114,167,172,176,181,182,186,182,220,232,211,207,242,242,188,162,226,162,105,171,120,54,127,210,191,172,182,142,94,170,175,179,182,184,189,187,194,228,215,236,242,232,180,123,195,173,79,115,130,54,64,176,162,175,167,94,138,173,176,180,183,186,189,192,188,219,240,223,207,209,170,116,141,157,88,110,149,70,117,142,177,179,102,119,198,174,178,182,185,188,189,192,190,210,243,198,167,166,193,170,104,174,119,87,158,180,215,193,171,130,100,189,196,176,181,184,187,189,191,195,195,204,240,208,180,172,189,180,147,172,133,139,237,234,207,177,134,89,145,207,193,177,183,185,188,191,195,198,199,200,245,243,207,173,177,207,222,197,200,239,236,216,197,163,113,102,191,201,199,179,182,187,191,192,196,199,201,196,233,249,224,189,174,213,237,248,249,244,231,212,183,148,93,143,213,201,200,180,185,189,191,196,197,200,202,196,223,249,236,214,192,196,237,248,249,240,231,211,170,117,94,193,208,204,201,182,187,189,191,196,200,202,205,203,216,249,245,229,214,203,230,247,249,236,228,201,161,96,139,216,205,206,203,183,188,190,194,198,201,203,206,208,207,242,249,236,219,204,216,236,239,226,206,179,145,103,199,213,208,208,206,185,189,193,197,199,202,204,207,209,206,221,249,235,211,190,204,215,211,195,169,136,88,155,222,211,210,210,210,185,191,194,198,201,204,205,210,213,216,221,249,229,188,167,173,181,189,168,134,81,98,216,211,212,212,212,211,185,190,192,198,200,201,204,153,132,137,149,198,175,170,176,184,202,186,157,116,56,177,238,211,212,211,212,211,186,191,195,198,199,203,210,118,85,88,61,55,54,63,60,65,61,49,49,44,31,97,157,216,214,211,210,209,185,192,197,199,201,203,219,137,89,94,67,50,39,23,11,0,0,0,0,0,0,0,57,227,211,215,215,212,188,192,196,200,202,204,219,152,89,88,65,46,39,28,17,6,0,0,0,0,0,0,167,230,213,216,216,213
17,141,145,147,153,158,162,164,168,171,172,174,176,177,178,178,177,178,178,176,171,177,175,176,175,175,173,171,171,143,146,149,154,160,163,167,170,172,174,176,177,178,179,180,181,177,184,185,127,164,180,176,176,176,174,172,172,144,148,149,154,160,165,169,171,174,176,178,180,180,181,183,180,190,183,135,101,150,186,177,177,176,176,175,174,146,149,152,156,161,168,170,172,175,177,179,182,182,184,185,180,199,193,144,79,147,188,179,179,178,177,176,175,147,150,153,158,163,169,171,174,177,179,181,183,185,184,185,182,193,198,170,93,154,189,180,181,180,179,178,176,148,152,154,159,165,169,173,176,178,181,182,184,185,186,186,185,190,211,188,119,164,189,183,182,182,181,180,178,150,152,156,161,166,171,174,176,180,182,183,185,187,188,188,187,193,219,194,137,161,191,184,184,182,182,181,179,151,154,157,162,167,172,175,177,181,183,185,188,188,189,189,187,195,221,197,141,142,195,185,186,183,183,183,182,152,155,158,164,169,173,176,179,182,185,187,189,191,194,191,188,207,225,209,156,121,193,188,188,187,185,184,182,153,156,159,166,170,174,177,182,183,186,189,189,172,175,195,193,218,221,205,163,116,189,190,189,188,187,185,184,155,157,161,166,171,176,180,183,185,188,193,193,161,109,185,208,184,191,198,157,112,184,192,190,189,189,188,186,156,158,162,167,173,176,181,183,185,182,195,185,161,90,123,162,144,184,195,159,105,183,194,191,191,189,188,188,157,158,163,168,173,178,180,186,194,194,197,163,156,143,108,97,148,196,179,162,111,181,197,192,191,190,189,189,158,160,164,171,175,180,180,197,210,199,216,197,192,174,121,87,147,183,170,158,115,171,200,193,191,192,191,190,159,161,165,172,176,182,183,197,209,157,187,208,193,170,152,109,101,140,151,144,108,155,204,194,195,194,192,192,160,162,166,172,177,182,186,190,202,168,110,129,161,177,176,146,98,88,113,122,103,145,206,194,196,195,194,193,160,163,168,173,178,184,188,189,204,185,134,75,107,153,191,168,136,101,87,107,95,153,207,195,197,197,194,193,161,163,168,175,179,185,188,192,215,196,209,113,103,165,203,175,153,129,89,87,81,160,207,197,198,198,196,194,163,164,169,175,180,186,190,190,224,213,170,129,133,230,206,180,159,136,85,71,71,173,207,199,199,198,197,196,163,165,169,177,182,187,192,190,226,208,159,165,199,222,203,165,158,125,82,70,82,199,203,201,200,200,198,197,163,166,170,177,183,188,192,192,225,203,187,183,232,196,194,171,139,121,85,62,136,215,200,202,201,201,200,198,164,166,172,178,184,188,193,195,221,216,188,191,229,198,192,190,145,105,81,70,189,210,202,203,202,201,201,199,165,167,172,179,184,189,194,195,216,224,189,198,220,194,177,173,135,94,74,87,207,205,205,204,203,202,201,200,165,167,172,179,186,190,195,195,211,223,193,184,200,169,155,141,103,86,67,121,218,204,206,205,203,202,202,202,165,168,174,180,186,190,195,197,206,216,181,158,173,158,142,118,93,90,69,180,217,206,207,206,205,203,203,202,164,166,173,179,184,190,195,195,206,210,155,146,164,172,151,121,102,77,108,216,207,209,207,207,206,204,203,202,163,165,172,179,183,196,137,54,173,207,185,185,171,176,162,121,100,72,167,216,207,209,207,206,204,203,202,202,164,165,172,179,189,174,94,49,127,207,190,178,172,170,160,124,89,84,197,211,208,208,208,207,205,203,202,202
20,146,147,149,148,149,149,148,149,149,148,149,148,147,149,148,145,144,142,141,140,138,136,135,134,132,131,130,128,150,151,151,152,152,152,151,152,152,152,152,151,155,140,137,150,145,146,145,142,141,140,138,136,135,133,132,131,153,154,155,155,155,155,154,154,155,155,155,154,169,138,101,155,151,148,148,146,144,143,141,139,138,136,135,134,158,158,159,158,158,159,159,158,159,159,159,157,165,148,83,94,126,155,150,149,147,146,144,142,141,139,137,134,161,161,162,162,162,162,162,162,162,162,162,160,171,146,70,101,94,147,156,152,150,149,147,146,144,142,140,138,163,164,165,165,166,166,166,165,165,166,166,163,175,135,68,140,101,126,164,155,154,152,151,148,147,146,144,141,166,167,168,168,168,169,168,168,168,169,169,166,181,141,78,153,104,110,167,158,157,155,154,152,150,149,146,146,170,170,171,171,171,172,172,172,171,172,171,170,187,136,80,157,126,105,169,161,161,159,159,155,152,152,150,149,172,172,173,173,174,173,173,174,174,174,174,178,188,116,83,166,134,98,168,164,163,162,161,159,155,154,152,152,174,175,176,176,177,176,176,176,177,176,167,180,191,115,102,180,129,90,168,168,166,164,163,161,159,157,156,152,178,179,179,179,180,179,179,179,179,178,160,149,163,128,100,172,134,90,169,169,167,167,165,163,161,159,162,136,180,181,181,181,182,181,181,181,180,183,193,179,141,117,95,156,148,100,165,172,170,169,167,166,164,161,162,148,183,183,183,185,184,184,184,183,185,176,154,179,150,153,102,130,140,97,162,177,172,171,169,168,165,164,163,153,185,185,185,185,185,186,186,186,185,189,136,108,159,167,92,78,102,84,157,182,174,173,172,170,167,165,164,155,187,186,185,186,186,187,187,188,187,195,142,58,148,163,115,75,73,67,148,185,176,174,174,172,169,166,165,164,188,187,187,187,187,188,187,189,188,188,144,88,110,153,143,104,98,56,136,189,177,176,175,174,171,168,167,166,189,189,189,189,190,190,190,191,183,181,152,126,79,88,140,126,109,55,116,193,178,178,177,175,173,171,168,166,191,191,191,191,192,191,193,187,183,168,166,152,109,85,109,132,114,67,97,194,181,180,179,177,175,172,169,167,192,192,192,192,192,192,191,183,167,121,131,157,131,87,87,126,146,98,73,180,186,181,180,179,177,174,172,169,193,194,194,194,194,195,191,182,175,133,69,113,128,71,70,109,157,130,67,127,195,181,181,180,177,175,173,171,195,196,195,195,195,197,193,182,164,138,97,73,105,77,72,148,171,152,81,90,195,184,184,183,179,177,175,174,195,196,197,197,197,197,196,180,178,166,105,80,108,100,119,185,173,137,72,103,197,184,184,182,180,179,177,175,197,198,198,198,198,200,199,178,182,169,118,97,115,172,191,182,152,123,55,137,197,184,185,183,181,180,178,175,199,199,199,199,200,201,200,178,175,164,134,98,117,193,190,165,131,108,60,169,193,186,186,186,183,181,179,175,198,199,199,199,199,201,202,177,161,157,135,102,115,180,172,149,118,86,76,191,190,187,186,186,182,181,184,183,199,199,199,199,200,200,202,185,161,157,135,116,117,178,168,137,105,62,108,202,187,187,185,183,188,185,165,130,200,200,200,200,201,200,202,197,165,156,143,124,108,166,156,119,84,55,166,197,188,188,190,184,160,104,59,54,200,201,201,201,202,203,203,199,175,159,143,121,102,133,124,91,56,91,200,190,190,183,149,99,59,45,41,50
1,203,204,205,205,205,207,209,208,210,210,210,208,195,205,208,208,207,206,205,205,204,204,203,201,200,199,198,198,206,207,207,208,210,211,211,211,212,215,217,212,170,158,216,211,213,210,210,210,209,207,207,206,206,205,203,200,208,210,211,211,213,213,213,215,216,203,199,223,188,115,142,163,214,216,213,214,213,211,211,209,207,207,207,205,211,213,214,213,215,216,217,217,220,196,133,208,203,105,123,140,168,228,213,215,214,214,212,212,210,208,209,207,213,215,216,216,218,219,221,220,220,213,134,180,208,113,132,164,117,224,219,219,218,216,215,214,213,212,211,211,215,218,219,221,221,221,221,224,222,223,147,150,214,136,143,178,109,204,227,220,220,219,219,219,216,215,214,214,218,220,220,221,222,223,224,214,211,230,165,130,196,136,151,196,122,183,233,221,223,222,221,221,220,219,217,215,220,222,222,222,223,225,228,194,151,230,182,113,181,139,141,194,129,171,238,223,226,224,222,222,222,222,220,217,222,223,224,225,226,228,229,209,131,209,186,106,188,164,112,197,147,160,238,224,227,225,225,225,224,223,222,222,223,225,227,227,228,228,231,213,133,194,207,119,165,175,109,193,177,152,240,226,228,227,226,227,227,227,224,223,224,227,228,228,229,229,233,218,137,183,218,124,123,160,149,190,151,137,231,232,231,230,229,228,229,228,227,227,226,230,231,230,232,231,233,221,151,145,210,125,126,152,153,175,130,127,129,165,242,229,230,229,229,227,227,228,229,230,232,232,234,235,231,229,166,121,190,150,155,145,156,169,160,136,104,110,220,237,232,232,230,228,228,229,229,231,233,234,235,237,232,227,181,158,172,148,157,145,176,200,159,113,152,140,164,246,231,233,233,230,230,229,231,233,234,236,236,237,237,233,201,169,160,141,153,156,180,191,165,164,216,185,137,228,237,234,234,234,232,231,232,234,237,236,238,238,238,239,207,165,145,138,150,160,189,197,200,192,178,197,131,176,248,232,234,234,233,234,233,235,237,236,239,239,237,242,219,172,133,140,154,165,204,206,227,225,189,160,112,116,242,236,235,234,234,234,234,236,238,239,239,242,238,240,241,191,141,143,156,184,202,211,222,215,188,157,106,101,234,241,238,235,235,235,235,236,239,241,239,242,241,237,249,218,167,138,159,193,209,225,229,212,187,164,102,129,247,238,240,237,237,236,236,237,240,242,242,244,245,233,251,240,198,152,154,183,217,236,230,215,202,162,94,169,255,238,241,240,240,237,237,238,241,243,245,245,247,233,246,249,217,172,162,179,218,241,234,227,200,146,93,208,251,240,242,241,240,237,238,241,242,244,244,244,246,238,233,243,231,185,173,178,213,231,242,226,181,127,106,239,245,243,243,243,242,239,239,242,242,244,244,244,246,247,219,231,232,197,173,172,202,225,225,197,154,101,138,255,244,244,244,243,243,241,237,241,241,243,244,244,245,249,225,212,218,199,181,173,182,198,188,152,116,91,206,254,244,244,244,243,243,242,238,241,241,243,244,244,245,246,243,206,207,201,187,182,160,163,168,135,89,153,255,245,246,244,244,243,242,239,239,242,242,242,244,245,246,246,250,221,215,198,180,177,149,148,153,117,92,227,251,245,245,244,244,243,241,239,239,241,242,243,244,245,246,246,249,225,217,188,172,173,157,149,134,95,125,253,245,246,246,245,244,244,243,240,239,241,243,243,244,245,244,246,252,223,226,214,194,192,170,157,125,87,149,255,246,248,248,246,245,244,244,241
12,146,148,148,148,148,149,149,149,150,151,150,150,150,150,150,149,149,150,150,150,150,150,149,149,147,146,146,145,150,150,150,151,150,150,151,151,152,152,152,153,152,152,153,151,151,151,152,152,151,152,151,150,149,149,148,146,151,151,151,152,153,153,155,152,154,154,155,156,156,153,155,154,153,153,155,155,154,154,152,152,152,149,149,148,153,154,154,155,154,156,156,155,157,156,160,158,155,158,159,156,154,155,155,156,155,154,154,153,152,151,151,150,155,156,157,158,156,157,158,158,157,155,150,157,164,147,151,161,157,158,157,158,157,158,157,156,155,155,154,153,157,158,159,159,158,159,160,157,171,175,138,106,170,155,109,133,166,160,164,159,159,159,159,158,158,157,157,156,160,160,160,160,161,161,163,158,199,201,168,92,125,194,130,92,162,141,141,164,161,161,162,161,160,158,158,158,160,160,161,164,163,162,163,163,197,206,183,120,86,186,159,109,86,128,87,123,172,162,164,161,162,161,160,159,162,164,165,166,164,166,164,169,195,186,192,148,81,143,169,122,58,84,91,60,165,166,164,163,164,162,161,161,164,165,167,166,166,164,170,158,177,163,180,170,123,77,130,99,41,30,69,52,155,169,166,166,166,165,164,163,165,166,168,168,162,178,199,127,101,123,139,140,88,44,67,71,46,123,79,54,165,168,168,168,166,166,166,166,165,167,169,166,187,210,177,115,81,104,81,112,105,78,114,147,146,134,62,66,175,170,171,170,168,167,166,167,167,169,167,177,204,180,170,132,92,52,55,59,106,120,138,182,196,162,84,89,187,169,173,172,170,170,169,168,167,170,166,196,180,155,179,150,101,51,56,58,46,56,95,180,197,198,151,92,139,181,171,172,171,171,170,170,168,167,176,195,172,135,176,152,127,68,49,67,72,79,136,172,175,164,147,128,77,161,177,172,173,172,172,171,170,167,186,205,175,131,117,176,164,92,49,70,92,151,186,171,170,132,119,138,74,139,184,173,174,174,173,173,172,170,180,209,193,163,110,125,152,158,83,71,174,190,174,168,157,127,98,95,66,164,178,174,175,173,173,173,172,170,179,212,203,173,138,125,112,120,108,166,209,187,172,161,141,117,86,55,91,186,176,177,176,175,174,174,173,171,178,204,205,189,156,148,132,95,154,205,196,192,156,141,119,110,74,44,140,186,177,179,176,176,176,175,173,173,175,197,202,201,178,159,143,130,139,197,192,180,144,115,111,104,60,69,181,180,179,178,178,178,177,176,171,173,166,185,209,204,185,166,147,143,136,190,181,156,130,96,116,94,42,117,191,178,179,178,179,178,178,178,169,173,168,162,205,193,173,163,152,148,144,167,165,130,109,106,112,75,47,166,184,180,179,178,179,179,179,178,172,173,174,160,198,179,162,156,155,148,143,151,147,130,106,106,98,49,92,189,178,179,179,179,179,178,177,176,173,173,175,168,194,181,169,170,164,150,138,147,155,133,93,84,69,55,165,184,179,179,180,180,179,178,177,176,174,173,174,168,195,188,178,177,164,158,135,150,158,108,74,71,47,132,189,180,182,181,180,180,179,179,179,178,173,174,176,167,196,194,183,185,166,168,131,144,142,95,72,49,89,191,181,182,181,181,181,181,180,180,179,179,172,173,177,165,187,203,189,190,172,167,128,128,131,97,66,45,159,188,181,182,181,182,182,182,180,180,180,179,169,171,175,166,183,205,185,179,169,161,122,114,130,94,48,72,188,181,182,182,182,182,182,180,180,180,181,180
2,203,203,203,205,205,206,205,204,205,204,204,204,204,204,204,203,203,203,203,202,201,198,199,200,196,110,76,97,206,207,208,207,207,207,206,207,207,208,208,209,207,206,207,207,203,208,205,207,201,202,203,207,185,92,91,102,211,212,213,211,211,212,212,212,212,213,213,212,208,214,221,187,134,174,191,175,212,208,205,207,199,115,100,96,214,214,215,213,213,215,214,215,216,214,212,216,224,220,180,138,108,114,140,113,161,202,208,206,211,144,99,103,217,217,217,217,217,217,217,219,217,218,230,239,202,146,119,107,101,102,111,101,93,171,218,207,217,162,95,92,220,220,220,220,220,221,221,222,217,229,244,220,141,97,101,98,92,86,98,101,89,168,221,210,217,186,101,75,223,223,224,223,223,223,224,224,220,248,222,147,108,88,91,96,89,85,88,95,133,211,216,213,213,214,107,60,226,226,226,226,226,225,227,224,232,255,179,109,99,91,85,91,95,108,154,189,220,220,218,216,216,216,148,131,228,228,229,229,229,228,229,222,248,242,161,116,100,108,96,97,110,187,233,225,222,222,220,218,218,221,185,169,228,230,232,232,232,232,230,234,255,213,142,100,97,103,96,121,205,230,223,224,225,225,222,221,220,231,146,180,231,232,233,233,233,234,228,247,250,196,140,105,99,95,102,162,246,227,229,227,226,226,226,225,222,228,162,212,233,235,236,235,234,235,234,255,241,187,141,123,112,100,99,185,241,233,233,230,229,228,228,227,225,225,209,192,235,235,237,238,238,233,246,255,227,172,133,120,117,113,107,223,239,234,234,233,233,231,231,229,227,227,230,200,237,236,238,240,239,232,255,255,215,161,122,114,110,114,131,240,237,236,235,234,234,234,234,231,230,231,227,222,238,239,239,239,237,233,255,252,207,159,124,111,109,111,139,244,237,237,235,235,235,234,233,233,232,232,229,222,239,240,240,242,234,251,255,237,195,150,124,113,117,105,160,252,238,238,238,237,236,235,236,237,236,237,237,230,241,241,241,243,236,255,255,225,182,142,122,111,110,98,146,252,239,240,240,240,242,242,235,224,216,208,218,237,243,243,246,237,240,255,253,216,174,136,118,106,102,115,106,180,255,241,246,244,226,212,202,198,193,182,152,185,244,244,248,233,255,255,245,205,164,135,115,94,106,118,120,113,214,243,226,204,196,197,208,202,178,160,145,169,246,248,243,239,255,255,235,189,153,133,107,90,115,119,126,134,134,160,175,196,212,203,181,146,155,206,231,237,247,250,236,255,255,255,224,181,149,129,99,101,130,135,147,149,148,155,181,202,189,156,126,161,239,244,242,240,251,244,241,255,255,248,211,175,145,128,100,114,142,150,155,152,153,158,170,153,143,168,205,244,244,240,239,239,247,240,255,255,255,238,204,168,135,125,108,127,147,157,158,152,143,135,128,161,221,250,251,246,244,243,242,241,234,253,255,255,252,234,197,157,130,124,116,141,153,156,150,138,122,129,194,252,252,247,246,247,246,245,245,244,246,255,255,253,238,209,171,142,130,121,124,144,148,151,134,120,175,234,255,249,249,251,250,248,248,246,247,247,254,255,251,231,209,181,153,133,128,121,130,137,143,135,117,192,255,255,250,250,251,252,252,252,250,248,248,247,251,250,233,208,189,171,145,131,126,129,129,129,126,137,210,255,252,254,254,253,253,253,253,253,251,250,247,247,249,240,219,183,173,150,128,130,131,130,128,122,175,246,255,254,255,255,255,255,255,254,254,253,252,251,250,249
10,10,10,13,17,19,35,59,75,107,103,93,122,125,134,140,145,150,155,158,162,166,168,169,171,171,173,175,175,10,10,13,17,19,37,62,75,127,113,50,107,136,135,143,148,153,158,162,167,169,171,172,175,175,176,177,177,9,10,14,17,20,39,63,83,111,119,69,43,124,144,144,150,155,161,165,170,172,174,177,179,179,179,180,179,10,11,14,17,22,43,68,88,101,110,81,40,46,149,149,153,159,163,167,172,175,178,180,181,181,182,183,183,11,12,15,18,22,47,71,91,103,112,85,60,24,90,162,155,161,165,171,176,179,182,183,184,184,185,186,186,10,11,16,16,24,49,74,93,107,113,110,80,56,25,134,165,163,169,176,180,182,185,187,188,187,187,189,189,10,12,16,18,25,52,75,95,106,114,130,109,67,32,52,170,167,174,180,182,184,188,189,189,189,190,191,191,11,13,16,14,32,58,82,95,126,76,106,140,96,76,24,135,180,175,181,185,187,188,190,190,192,194,194,194,11,15,9,71,98,35,62,109,141,56,39,148,130,94,42,76,185,176,182,186,189,190,193,193,194,195,196,196,10,14,7,83,85,14,2,46,93,65,6,90,158,91,57,25,160,183,182,187,190,193,195,196,197,198,198,197,10,14,13,25,43,17,8,0,13,58,37,15,133,106,55,22,94,196,182,190,191,195,197,199,199,199,199,200,10,13,17,15,39,43,12,5,5,57,69,35,34,103,74,71,23,165,192,191,193,196,199,199,199,200,200,202,10,12,17,18,40,70,73,42,12,48,88,61,19,20,52,78,21,89,202,191,197,197,200,201,202,203,204,203,10,12,16,18,43,70,96,114,85,31,93,88,54,8,12,40,31,26,177,198,198,199,200,202,203,205,205,206,9,10,13,18,44,70,88,126,139,45,20,127,94,50,7,3,20,9,146,206,196,200,200,203,204,204,205,206,8,10,11,18,45,78,101,131,144,96,0,96,141,83,44,13,15,2,125,206,194,198,199,202,203,204,205,206,8,8,10,19,41,107,130,120,164,125,15,25,166,107,78,40,12,0,104,209,195,198,200,202,203,205,205,207,5,7,9,19,43,93,147,112,149,136,55,65,166,124,101,54,13,0,86,208,195,200,203,204,205,206,207,207,8,7,5,17,46,70,125,118,114,130,83,113,151,103,96,47,20,4,76,209,197,200,203,203,205,205,206,206,55,51,51,54,63,67,92,120,115,147,101,94,151,91,89,50,24,10,61,200,198,202,206,209,212,213,215,218,47,49,54,56,55,49,59,124,128,141,151,89,130,106,92,59,26,14,33,98,102,106,111,116,121,126,132,137,51,51,52,57,60,63,55,129,163,126,164,97,47,107,90,63,32,20,19,64,73,73,74,71,72,70,70,71,51,52,55,58,60,63,57,89,168,146,133,119,46,77,86,59,35,22,15,64,85,79,81,83,83,84,85,85,50,53,55,58,60,62,63,68,147,158,147,158,145,94,76,53,34,21,16,55,82,77,77,80,80,81,83,83,51,53,55,57,60,61,64,57,104,152,154,147,159,128,70,42,33,25,19,53,81,78,78,79,79,80,81,82,50,51,53,55,58,60,61,64,65,132,157,144,140,137,78,39,41,34,20,52,79,77,78,80,79,79,80,82,48,49,51,55,59,59,62,65,61,86,147,140,125,113,92,65,61,43,16,42,79,77,78,83,78,78,79,77,47,49,50,53,56,58,61,62,65,59,114,129,113,96,95,93,81,56,24,26,72,77,78,78,78,80,74,113
7,154,158,163,168,172,174,177,179,181,183,185,185,185,185,185,185,185,185,184,183,183,182,181,180,179,178,177,176,155,160,165,169,173,175,178,181,182,183,186,187,188,188,187,187,187,186,185,185,184,183,183,182,181,179,179,178,156,161,167,172,175,177,180,183,184,185,187,188,189,189,189,189,189,188,187,187,186,185,184,183,182,181,180,180,158,164,168,173,177,179,182,185,187,187,189,191,191,191,191,191,191,190,190,188,188,187,186,185,184,182,182,181,160,165,169,174,178,181,183,187,187,190,191,192,193,193,193,192,193,193,192,188,187,188,185,187,186,184,184,183,162,166,171,175,179,183,184,187,188,191,192,194,195,195,194,192,189,183,178,164,179,199,167,184,188,187,185,184,164,168,173,177,181,184,186,189,190,192,193,192,186,178,174,176,173,162,158,149,165,179,145,180,188,183,187,186,165,169,175,179,182,185,187,188,187,187,181,171,158,141,148,161,162,146,136,128,126,140,146,191,199,149,184,188,167,171,177,181,185,187,182,166,161,161,160,158,150,139,127,128,120,123,140,143,140,146,157,177,173,133,183,190,167,172,178,183,188,190,176,161,158,150,143,145,147,135,122,119,133,157,174,160,147,139,130,122,135,165,191,190,168,173,178,185,193,185,171,164,155,130,131,149,159,145,137,129,130,143,148,133,117,109,122,150,178,193,193,192,169,174,183,188,182,177,175,169,140,106,119,130,133,123,119,116,104,110,107,112,134,164,190,197,197,195,194,193,171,181,188,185,182,177,169,169,148,112,103,91,81,78,84,91,101,125,160,184,198,201,200,199,197,196,195,194,185,189,188,187,182,170,164,162,160,137,98,72,56,95,145,162,181,198,205,204,202,201,202,202,200,198,198,197,193,189,184,179,171,165,164,164,160,137,102,77,72,97,166,205,207,207,207,205,204,203,202,201,201,200,199,199,192,185,175,168,162,157,152,147,140,121,96,74,75,76,77,152,209,208,208,206,206,205,203,202,202,201,201,200,186,175,166,158,152,146,142,137,132,121,94,68,69,83,75,97,204,210,209,208,207,207,206,205,203,202,201,201,172,171,160,154,146,142,140,139,138,133,99,67,61,75,75,96,203,210,209,209,208,208,207,207,205,203,201,200,101,144,154,153,146,143,138,137,136,125,95,72,68,57,57,71,167,214,210,210,209,208,208,208,207,204,202,201,43,65,120,152,152,145,137,129,118,103,87,80,76,64,57,66,152,216,212,211,211,209,209,208,207,206,204,203,40,34,49,114,150,143,132,120,110,94,83,79,79,71,92,129,195,215,214,213,213,211,210,209,208,207,206,205,37,33,31,45,109,123,111,100,92,73,60,68,76,92,187,213,215,216,215,214,213,212,211,210,209,207,207,205,32,30,27,26,46,75,80,92,79,51,50,66,99,176,218,216,216,216,216,215,214,213,212,210,209,208,207,206,26,24,23,25,21,17,54,164,145,83,100,140,193,217,218,217,217,217,217,215,214,214,213,211,210,210,208,207,19,19,21,25,22,36,152,209,209,199,206,215,218,219,219,218,217,218,218,217,216,216,215,213,212,211,209,208,46,23,19,28,34,143,207,210,213,216,217,217,219,220,220,219,218,219,219,217,217,215,215,214,213,211,209,209,40,42,26,23,70,199,207,209,212,214,216,217,219,220,220,220,219,219,218,217,216,215,215,214,213,211,209,209,15,30,25,19,94,207,206,209,211,213,215,216,217,217,217,219,219,217,217,217,216,215,214,214,211,209,209,209
23,214,215,216,219,219,219,220,220,222,223,225,226,226,223,221,222,222,223,224,222,223,223,224,224,223,224,221,220,216,216,217,220,219,220,223,223,225,226,225,222,223,226,238,248,241,220,218,225,226,224,224,225,225,225,223,222,216,217,219,221,222,223,224,224,226,225,228,236,246,255,255,255,242,229,217,217,182,207,228,227,227,226,225,224,218,219,221,221,224,225,224,226,228,225,255,255,254,245,242,218,179,183,178,162,162,223,228,227,227,228,228,228,220,221,221,223,224,225,227,228,224,234,255,255,217,218,192,166,196,197,188,197,225,229,227,229,229,229,229,228,221,220,222,225,226,227,229,230,222,244,255,251,198,160,177,214,234,234,235,234,230,229,229,231,230,229,229,229,222,222,224,227,227,228,231,231,225,255,255,248,207,180,236,235,243,243,221,230,230,232,231,232,232,231,231,230,223,224,227,227,228,230,231,230,230,255,255,255,197,187,255,255,255,255,189,225,243,233,232,234,235,233,234,232,224,227,228,228,229,231,234,227,240,255,255,255,215,253,255,255,255,240,173,168,195,233,236,235,234,234,234,233,226,228,229,230,231,233,235,226,255,255,255,255,255,255,255,255,244,230,233,192,125,192,243,233,234,236,235,234,228,229,231,232,233,233,234,231,255,255,255,255,255,255,255,255,255,255,255,227,148,156,246,237,238,237,237,236,229,230,233,234,235,235,231,255,255,255,255,255,255,255,255,255,255,246,230,198,150,135,204,243,237,240,238,238,230,231,234,234,236,230,254,255,255,255,255,255,255,255,255,255,244,231,232,216,146,132,152,240,240,240,240,240,232,233,235,236,236,230,255,255,255,255,255,255,251,255,255,253,244,239,242,226,154,125,160,246,241,241,242,242,233,234,236,238,237,235,255,255,255,255,255,255,255,255,250,245,234,229,225,197,155,125,195,251,240,242,242,243,234,235,235,239,243,238,253,255,255,255,255,255,255,246,215,216,208,198,186,185,154,141,231,249,243,243,243,243,236,236,237,240,243,239,249,255,255,255,255,255,255,234,189,159,145,149,179,184,148,167,252,246,246,245,243,244,237,238,239,240,243,240,246,255,255,255,255,255,246,221,195,164,81,119,185,182,144,199,255,246,247,247,246,245,238,239,241,242,242,242,244,255,255,255,255,255,255,255,192,124,99,149,175,162,139,226,253,246,248,249,248,245,240,241,241,243,243,243,243,255,255,255,255,255,255,248,189,124,119,163,149,137,159,253,249,248,249,249,248,248,240,242,242,243,246,246,244,255,255,255,255,255,255,233,192,153,116,131,138,140,174,255,247,249,250,251,249,249,240,243,243,245,246,249,245,255,255,255,255,255,255,234,190,163,114,126,150,141,190,255,249,251,251,253,251,250,242,243,244,246,247,249,245,255,255,255,255,255,255,235,193,168,134,136,156,142,215,255,250,253,253,254,253,253,241,243,245,247,248,250,245,255,255,255,255,255,255,237,198,171,143,146,158,147,241,255,252,253,254,254,254,252,242,244,246,247,249,251,246,255,255,255,255,255,254,228,195,169,150,149,148,172,255,252,254,254,255,255,254,253,243,245,247,248,249,252,247,255,255,255,255,255,242,218,187,167,158,154,138,224,255,254,255,255,255,255,255,255,245,247,249,249,249,254,249,255,255,255,255,247,226,200,179,171,163,143,169,255,255,255,255,255,255,255,255,255,247,248,249,250,251,255,250,255,255,255,255,244,225,201,180,169,159,152,242,255,255,255,255,255,255,255,255,255
12,140,145,150,153,155,158,160,162,163,163,164,164,164,164,164,163,163,164,164,162,161,160,158,158,157,156,154,152,143,147,151,154,157,159,162,164,165,165,165,166,166,166,165,169,167,164,165,162,163,163,162,161,160,158,156,155,143,147,151,156,158,160,164,165,166,168,167,165,167,172,165,148,160,170,166,171,166,165,165,165,163,162,159,158,145,148,152,156,160,163,165,166,167,168,175,159,125,152,184,143,101,150,162,137,165,169,167,166,164,163,161,161,146,149,153,157,161,164,165,167,170,166,197,197,161,113,140,198,142,83,116,117,102,170,169,168,166,165,165,163,149,152,155,158,163,166,169,171,168,182,196,196,189,134,67,157,165,85,50,124,82,116,179,168,168,167,165,165,150,155,158,162,165,167,170,172,165,206,167,166,192,122,60,129,150,85,40,90,92,58,172,171,169,169,167,166,152,155,160,163,167,172,171,169,176,144,107,175,170,105,50,139,136,74,49,95,79,58,174,172,171,170,169,168,154,157,162,165,170,170,173,199,188,110,60,115,152,123,42,123,166,93,50,119,82,75,183,171,173,172,170,168,157,160,164,168,169,178,205,201,189,130,64,59,158,126,27,128,185,90,62,166,85,110,186,171,173,173,172,171,158,162,168,170,175,207,175,160,197,142,66,16,117,109,1,65,171,74,50,149,93,158,180,175,175,173,172,171,162,165,172,170,195,205,169,135,177,131,67,16,30,41,19,60,89,93,101,114,59,151,187,176,176,176,173,172,164,168,171,176,195,170,139,93,148,131,70,21,25,29,118,186,143,139,118,101,75,90,190,177,178,177,175,173,166,171,174,173,199,174,144,83,115,132,66,27,35,88,160,176,166,138,101,72,88,64,169,184,179,178,176,173,170,172,178,173,201,181,151,106,89,127,98,38,63,146,174,168,161,139,98,73,66,61,176,183,179,179,178,175,172,176,179,183,207,186,161,130,81,103,121,47,137,184,179,170,167,120,90,74,34,102,196,182,181,178,176,175,175,180,179,192,211,193,169,136,105,84,86,109,184,183,187,184,150,100,85,62,37,171,189,183,185,187,189,182,177,181,182,197,207,198,179,143,129,112,97,151,169,178,190,173,124,92,84,36,87,205,194,195,176,149,108,64,179,183,184,193,200,202,184,152,144,129,108,151,152,187,187,152,111,87,73,36,169,179,133,87,42,22,15,8,181,185,189,185,202,204,187,161,158,139,113,160,155,182,176,129,99,78,55,56,91,33,12,3,6,7,11,20,185,187,193,186,195,196,183,166,159,142,123,150,175,158,146,109,85,69,45,12,1,1,8,4,8,2,0,15,188,191,196,192,188,196,183,169,155,141,131,137,163,143,118,97,75,62,18,0,1,12,0,0,6,10,0,1,188,192,196,192,182,201,184,168,152,140,122,125,148,132,105,86,68,45,18,0,0,13,5,0,0,10,3,0,190,193,198,192,187,199,175,156,146,137,116,125,141,123,86,74,55,18,26,0,0,0,13,0,0,0,9,0,194,197,202,193,188,198,158,139,143,132,116,129,128,106,72,58,16,0,14,16,0,0,3,8,0,0,3,3,195,198,202,193,185,208,160,149,157,144,128,130,117,90,69,37,9,0,0,18,0,0,0,5,1,0,0,5,197,199,208,177,172,211,170,171,177,146,125,124,107,83,62,13,8,0,0,5,5,0,0,0,8,0,0,0,198,198,218,137,131,214,186,194,181,135,126,127,103,79,50,12,0,0,0,0,10,0,0,0,5,2,0,0
12,175,177,177,177,177,178,178,178,179,179,179,179,179,179,179,178,178,179,179,179,179,179,178,177,176,175,175,174,179,179,179,180,179,179,180,180,180,181,181,182,181,181,181,180,180,180,181,181,180,181,180,179,178,178,177,175,180,180,180,181,181,182,184,181,183,182,183,185,184,182,184,182,181,182,183,183,182,183,181,181,180,178,178,177,182,182,183,184,182,185,184,183,185,185,188,186,184,186,187,185,183,184,184,185,184,183,182,182,180,180,180,179,184,184,185,186,185,185,187,187,185,184,179,185,192,176,180,189,185,187,185,186,185,186,186,185,183,183,183,182,186,187,187,188,187,188,189,185,199,203,168,137,198,184,139,162,194,188,192,187,187,188,188,187,186,185,185,184,188,189,189,189,189,189,192,186,225,228,196,124,155,220,160,123,190,170,170,192,189,189,190,189,188,187,187,186,188,188,190,192,191,191,191,191,224,232,210,150,118,213,187,140,118,158,119,153,200,190,192,189,190,189,189,188,190,192,193,194,193,194,192,197,222,214,219,177,113,172,197,152,91,116,123,93,193,195,192,192,192,191,190,190,192,193,195,194,194,192,198,187,205,192,207,198,153,109,160,131,74,64,102,86,183,197,195,194,194,193,192,191,193,194,196,196,190,206,226,157,132,153,169,169,120,78,100,103,80,153,111,87,193,196,196,196,194,194,194,194,194,196,197,194,214,236,204,145,113,135,113,143,136,110,145,176,175,163,95,99,203,198,199,198,196,195,194,195,195,197,195,205,230,207,198,162,123,85,88,92,137,150,168,210,223,190,116,121,214,197,200,200,198,198,197,196,195,198,194,223,208,184,207,179,132,84,89,91,79,89,127,207,224,225,180,123,168,208,199,200,199,198,198,198,196,195,204,222,200,164,204,181,157,101,82,99,104,111,166,200,203,192,176,158,109,189,205,200,201,200,200,199,198,195,213,231,203,161,147,204,192,123,83,103,123,180,213,199,198,162,150,168,106,168,211,200,202,201,201,200,200,198,207,236,220,191,140,155,181,186,115,104,202,217,201,196,186,157,129,126,99,193,206,202,202,201,201,201,200,198,207,238,229,201,167,155,143,151,139,194,235,214,200,190,170,148,117,88,123,213,204,205,203,202,202,201,200,199,206,230,231,216,184,177,161,126,183,232,223,219,185,170,150,141,106,78,169,213,205,206,204,204,203,203,201,201,202,223,228,227,206,187,172,160,168,223,218,207,173,146,141,135,93,102,208,207,206,206,205,205,204,203,199,201,194,213,235,230,212,194,176,172,165,217,209,184,160,128,146,126,76,147,218,206,206,206,206,206,206,206,197,201,196,191,232,220,201,191,180,177,173,196,194,160,140,137,143,107,81,194,211,207,206,206,206,206,206,206,200,201,202,189,224,207,191,185,183,177,172,179,176,160,137,137,129,82,123,216,206,207,207,207,206,206,204,204,201,201,202,196,221,208,197,198,192,178,167,176,184,162,124,116,102,89,193,212,207,207,207,207,206,206,205,203,202,201,202,196,221,215,205,205,192,186,164,179,186,138,107,104,81,161,216,207,209,208,207,207,207,206,206,205,201,202,203,195,223,221,211,213,194,196,161,173,171,126,105,83,120,218,209,210,209,208,209,209,207,207,207,206,200,201,204,193,214,230,216,217,200,195,158,158,161,129,98,78,187,215,208,209,208,209,209,209,208,207,207,207,197,199,203,194,210,232,212,207,197,189,152,145,159,125,82,105,215,209,210,209,209,210,209,208,208,207,208,208
4,198,200,201,202,202,203,204,205,204,204,206,206,206,207,207,206,206,205,206,206,206,206,206,205,206,206,205,204,200,202,202,203,203,205,205,206,207,206,206,206,208,208,208,208,209,211,208,208,208,208,208,208,207,208,208,207,203,203,203,205,206,207,208,207,208,208,207,206,206,209,212,201,179,188,212,209,211,208,209,210,209,209,209,209,204,204,205,206,208,208,209,209,208,207,210,194,178,189,236,210,178,134,202,215,211,215,209,212,210,209,210,211,206,206,207,209,209,210,209,211,211,214,237,208,200,166,229,221,189,150,157,190,177,189,218,212,213,211,212,213,208,209,208,211,212,211,210,209,200,204,236,235,199,169,194,232,186,159,111,181,176,136,194,219,213,215,214,214,209,210,210,213,214,212,212,220,214,203,173,224,217,178,169,234,193,158,106,186,187,143,133,223,215,217,217,217,209,211,212,213,215,211,218,234,226,215,146,149,223,171,145,232,202,154,100,186,190,149,114,213,219,218,218,218,211,213,214,214,215,212,223,214,208,199,138,124,191,168,141,192,179,133,101,192,187,143,110,212,223,219,219,220,213,215,216,216,216,215,223,215,189,199,134,109,190,177,154,156,139,102,97,189,169,119,122,221,222,220,221,220,213,215,216,218,218,215,220,223,180,190,151,114,174,190,185,170,170,143,107,154,144,110,126,228,220,223,222,221,214,215,217,218,220,219,220,235,215,178,163,118,129,202,211,212,201,184,139,110,125,107,140,233,221,224,223,223,216,217,219,220,221,221,221,235,217,184,144,105,100,169,206,212,211,182,140,102,108,102,160,236,222,223,223,224,217,218,220,222,222,219,223,234,198,161,143,125,105,95,149,197,200,175,144,116,106,100,174,237,224,225,225,225,218,220,222,222,221,219,226,227,193,163,141,124,109,107,112,138,182,181,163,128,111,95,177,236,224,226,226,225,220,220,222,222,222,221,228,235,208,176,151,136,124,117,138,122,180,207,179,144,120,93,187,236,226,228,227,226,220,221,222,223,223,222,230,233,207,163,140,135,125,114,144,183,219,222,204,166,133,97,177,240,226,228,228,227,220,222,222,223,224,223,232,232,200,168,147,134,141,129,168,221,236,226,220,179,144,113,137,240,227,229,229,229,222,222,223,224,226,225,232,228,202,170,154,144,165,140,195,238,241,223,202,171,145,119,140,240,228,230,230,230,222,222,223,225,226,226,233,226,204,174,163,165,164,155,217,239,234,219,196,158,141,111,164,243,231,232,230,231,223,223,225,226,226,226,228,225,202,180,171,170,159,161,224,238,221,198,184,145,128,106,194,240,231,232,230,230,224,225,226,226,226,227,226,222,197,177,161,181,158,162,224,235,207,180,167,136,119,114,221,236,232,232,229,230,223,225,227,226,229,229,225,218,202,177,182,198,154,163,229,225,195,168,150,127,114,138,240,232,234,234,233,233,223,226,227,227,229,230,227,213,202,187,180,197,161,163,230,202,181,157,136,123,107,178,244,233,235,234,234,234,224,225,225,226,228,229,228,218,207,191,177,192,165,168,218,187,169,142,128,121,110,214,240,235,236,235,234,234,223,223,224,224,227,227,221,231,217,192,177,174,157,153,208,179,151,136,124,117,126,233,235,235,235,235,235,235,223,224,224,225,227,219,223,239,216,189,174,156,139,146,185,159,135,129,124,106,172,241,234,235,235,235,235,235,224,225,225,227,228,216,234,230,214,201,178,146,142,159,180,133,134,123,117,129,226,236,234,235,234,234,234,234
3,116,124,129,132,135,139,144,149,151,152,154,155,156,156,157,158,159,158,159,159,159,159,159,160,160,158,157,157,119,127,133,136,139,144,148,152,154,156,158,159,160,160,162,163,165,129,157,162,162,163,163,163,162,162,161,160,124,132,137,142,145,149,154,157,159,162,163,164,165,166,166,169,171,109,138,167,168,169,168,167,167,166,165,164,129,136,141,145,150,154,158,161,164,166,168,169,170,171,172,173,174,105,113,173,173,173,173,171,170,170,168,167,134,140,145,150,154,158,162,166,169,171,172,173,175,176,177,178,179,105,98,176,178,178,177,176,175,173,172,172,137,145,149,153,158,162,167,171,173,176,177,179,179,181,181,182,189,118,93,177,181,182,182,181,180,179,177,176,140,148,154,157,162,166,171,174,177,180,181,182,184,185,185,179,193,120,87,173,186,186,186,185,184,183,180,179,143,151,157,160,165,169,174,179,180,183,185,186,186,190,204,167,137,114,97,169,189,190,190,189,188,187,184,182,147,155,160,164,169,173,179,183,186,187,189,193,177,165,215,190,127,166,114,160,193,193,193,192,191,190,188,187,150,158,162,166,172,176,181,186,189,189,182,208,200,169,188,195,146,172,100,125,197,196,195,195,193,193,192,191,153,159,165,169,175,179,184,188,191,200,183,170,202,181,161,189,143,171,120,94,181,199,199,198,197,196,195,194,155,162,167,172,178,182,186,190,195,208,207,171,143,188,148,180,143,155,150,113,127,203,202,201,200,199,197,197,156,165,169,175,180,184,189,194,196,183,171,154,99,162,127,169,176,125,159,124,108,204,205,204,202,201,200,200,159,167,172,176,181,186,192,196,199,178,135,149,94,139,123,110,116,74,143,127,108,206,208,207,205,204,204,202,162,169,173,179,184,188,193,196,202,198,162,138,113,117,157,104,52,69,164,135,103,204,209,209,207,206,206,206,163,170,175,181,186,190,194,199,205,198,144,102,86,73,126,96,70,118,185,137,94,193,210,210,209,208,207,207,165,172,177,182,187,192,196,200,205,203,166,125,97,76,82,110,143,170,173,127,93,188,213,213,212,211,209,208,167,173,179,184,189,193,198,201,207,213,178,131,104,104,116,179,213,197,153,111,98,200,215,215,214,213,212,211,167,174,180,185,190,196,200,202,207,216,189,146,126,126,135,208,219,183,143,99,108,212,216,216,216,215,213,211,168,176,181,186,192,197,200,203,207,214,196,162,136,126,145,211,210,168,130,95,130,218,218,218,217,216,215,214,168,174,181,187,191,195,199,204,207,209,195,166,143,140,145,206,200,158,117,90,159,219,220,219,219,218,216,215,169,175,181,187,192,196,199,203,206,205,195,173,157,150,137,196,182,145,106,90,187,220,219,218,219,218,216,215,170,177,183,188,193,197,200,204,206,208,196,178,159,151,127,169,164,129,99,101,205,220,219,219,218,217,216,214,171,177,182,188,193,198,200,204,207,206,206,182,160,141,114,141,136,107,95,145,218,220,220,219,219,217,210,183,168,177,182,187,193,198,201,204,207,206,214,182,157,130,113,124,113,101,107,199,218,219,215,216,210,200,180,149,123,128,133,140,147,152,157,164,169,200,212,184,163,134,122,119,107,93,144,211,193,185,196,167,178,187,144,140,101,102,103,105,105,104,105,108,111,191,203,182,165,153,130,112,97,90,189,227,191,169,172,174,148,169,119,151,102,103,106,107,106,109,114,113,121,200,196,166,158,157,121,103,89,114,178,212,194,177,143,177,146,142,115,162
7,123,125,127,128,131,132,134,134,136,138,139,140,142,142,143,143,144,144,145,145,145,145,145,145,146,146,144,144,123,126,128,129,131,133,134,135,138,139,140,141,142,142,143,144,144,144,145,145,146,146,146,146,146,146,145,145,125,127,128,130,133,134,135,136,138,139,139,142,142,143,143,144,144,146,146,146,146,146,146,146,146,146,145,145,126,128,129,132,134,135,137,138,139,140,142,141,142,145,144,144,144,146,146,147,147,147,147,147,147,147,147,146,127,128,131,133,134,137,139,140,140,141,143,144,144,144,144,146,146,146,146,148,148,148,147,148,147,148,148,146,128,129,132,134,136,137,139,140,142,143,146,146,145,145,146,147,148,149,148,148,148,149,149,147,149,150,148,147,128,129,132,134,136,138,139,141,143,144,146,146,146,148,149,145,140,141,146,145,142,137,135,155,129,144,152,148,128,131,133,135,136,139,141,143,144,144,147,147,147,144,136,130,128,118,120,126,129,121,118,134,101,137,147,144,131,132,134,136,138,140,140,143,142,141,142,143,147,140,134,134,131,113,119,119,124,121,118,115,108,130,132,112,132,133,135,137,139,141,142,146,128,123,131,138,143,136,131,127,116,114,109,101,104,107,101,99,97,97,97,122,132,133,136,138,139,139,153,144,116,121,126,120,111,103,103,101,94,89,92,101,102,102,105,110,116,125,136,154,132,133,137,140,138,153,158,142,131,117,109,96,85,74,82,104,107,126,149,154,153,152,154,158,158,159,157,153,133,135,138,137,152,163,152,153,144,109,101,104,107,105,101,109,129,159,158,155,156,157,156,155,154,153,155,155,134,137,135,148,164,155,154,150,133,113,106,99,103,108,102,87,75,102,160,155,157,157,157,156,157,156,156,156,135,134,144,159,157,153,148,136,126,118,108,86,80,95,100,98,90,82,155,159,157,158,158,158,157,156,157,157,131,141,160,158,149,140,136,130,124,118,107,88,74,76,79,81,84,88,158,159,159,159,159,158,158,158,158,158,139,159,157,151,144,136,133,132,130,126,112,92,87,90,77,61,63,88,164,159,159,159,159,159,158,158,158,157,158,154,145,145,142,135,135,130,127,123,114,101,95,93,88,83,74,78,146,165,159,160,161,160,160,160,159,157,151,147,145,141,136,134,128,122,125,122,107,95,91,89,91,87,82,57,65,141,165,159,162,161,162,161,160,158,148,145,139,138,135,132,120,122,127,112,93,82,69,59,77,84,82,63,63,119,169,160,162,161,161,161,160,160,145,142,136,133,127,123,129,125,108,93,83,62,55,52,48,79,83,70,107,158,163,161,162,162,162,162,161,161,143,139,133,123,127,129,126,110,95,86,74,58,63,59,60,75,79,140,167,165,163,163,162,163,163,163,162,163,134,131,121,125,128,121,108,96,89,74,77,93,105,112,76,89,146,167,162,164,164,164,164,163,163,163,163,162,115,115,114,114,109,101,94,84,74,90,142,163,165,169,147,152,169,163,164,165,165,165,165,163,163,163,162,162,103,98,94,93,93,85,80,87,119,156,163,160,161,161,166,166,163,165,165,165,165,166,166,164,163,163,163,163,100,86,81,77,68,82,127,151,163,158,158,161,162,163,162,165,166,166,166,166,166,166,165,164,165,164,164,164,99,83,71,68,109,145,161,156,157,158,161,163,163,164,165,166,166,167,166,166,166,167,167,166,166,165,164,164,100,84,69,74,154,156,153,156,159,159,161,164,164,164,166,166,167,168,168,167,167,167,167,167,167,166,166,165
22,100,103,109,124,137,147,150,153,160,166,170,173,176,179,181,182,184,185,185,184,183,183,182,180,179,179,177,176,101,104,110,126,138,147,151,154,162,166,171,178,178,180,184,184,187,179,181,187,185,185,184,185,183,181,179,179,102,104,111,128,140,149,152,157,163,176,180,149,182,182,185,185,201,160,134,193,186,185,188,171,180,185,180,179,102,105,113,130,141,151,155,161,161,194,197,117,176,187,187,187,211,158,118,194,188,191,195,130,144,193,183,181,103,105,114,131,142,152,157,162,163,191,207,123,166,191,186,192,207,149,128,200,188,201,193,121,149,194,185,184,103,106,115,133,145,153,157,163,166,185,213,132,153,195,188,195,201,143,142,201,191,203,175,115,176,192,186,185,102,105,116,133,145,155,159,165,169,181,220,158,140,196,191,192,183,130,151,201,203,211,153,125,197,188,188,187,103,106,117,133,146,156,160,165,171,179,217,168,130,190,194,195,185,120,159,203,209,197,135,156,199,190,191,188,103,107,118,134,147,158,161,166,174,178,212,177,121,177,199,194,188,121,171,213,209,164,117,184,197,193,192,190,103,106,119,137,148,159,162,167,176,178,206,203,140,158,204,183,170,107,194,226,204,145,126,202,194,194,193,192,104,106,119,136,149,160,165,168,176,181,195,209,145,132,192,160,158,131,211,213,191,121,162,206,196,195,194,193,103,107,120,138,151,161,164,170,178,185,189,206,138,100,152,166,185,208,214,195,153,112,195,202,198,197,195,193,103,107,121,138,152,161,164,171,179,185,185,204,158,124,172,177,186,202,198,183,116,151,212,198,199,198,197,195,104,107,122,140,153,162,165,173,178,197,187,152,158,136,161,172,192,186,195,159,106,190,209,202,200,200,199,197,103,107,122,140,154,164,166,174,179,211,180,173,157,165,134,117,163,176,166,123,108,200,207,204,203,201,200,198,101,106,122,140,155,164,166,175,180,218,196,183,184,174,136,103,96,137,135,108,115,211,205,205,205,204,202,200,102,106,124,141,156,165,168,173,187,224,203,161,142,156,160,147,114,89,93,95,115,213,206,206,206,205,202,200,103,108,125,142,157,165,169,177,187,227,211,149,95,104,160,163,145,117,102,86,94,206,211,207,206,205,204,202,101,106,125,142,157,165,168,177,183,226,220,171,156,92,199,184,157,136,119,77,79,200,213,207,206,205,205,204,100,104,124,142,156,165,168,176,180,222,228,181,161,133,219,202,167,141,122,73,90,211,210,207,205,206,206,205,99,103,123,142,157,165,168,178,180,218,230,183,161,191,211,184,168,130,113,69,114,222,207,208,206,206,206,204,97,102,122,142,158,165,168,177,181,208,226,203,170,211,210,167,172,147,107,65,133,222,207,210,207,205,205,204,91,97,119,140,157,165,169,178,185,201,219,206,171,203,203,172,163,150,103,61,169,224,212,213,210,208,208,207,119,122,130,140,150,157,161,167,175,172,209,207,173,169,186,157,142,123,82,74,185,198,193,192,192,191,191,191,127,127,123,117,121,123,123,123,129,93,122,207,153,129,143,131,111,93,76,92,119,115,114,114,114,113,115,113,125,125,126,126,127,125,126,127,127,87,55,119,133,128,137,144,124,97,68,92,125,117,117,117,117,116,98,73,127,127,126,127,127,127,127,131,108,68,73,57,96,136,139,144,115,76,34,71,128,118,118,119,101,76,56,48,127,127,126,126,126,126,129,127,81,74,73,70,60,78,102,91,58,35,25,89,127,117,120,101,64,59,50,41
20,143,146,149,150,153,154,155,155,157,157,157,157,156,156,154,154,153,152,151,152,149,147,146,143,143,141,141,140,144,147,150,151,153,157,156,158,159,160,158,160,158,157,158,155,154,153,151,138,148,148,147,145,145,144,144,143,145,148,151,153,155,157,158,160,160,161,162,161,159,158,159,158,155,154,166,91,102,164,148,148,147,146,145,145,146,149,152,154,155,158,160,161,162,162,163,160,160,161,160,159,156,159,167,83,84,136,146,151,148,148,146,146,148,150,152,155,157,159,161,162,164,164,162,162,162,162,161,160,157,167,154,78,52,81,98,159,149,148,146,147,149,152,155,157,158,160,162,163,165,166,165,164,163,163,162,164,158,176,149,65,75,107,80,159,150,151,148,148,150,154,155,158,159,162,164,165,168,168,167,166,165,164,164,164,161,179,142,65,120,112,77,158,153,151,151,149,152,154,157,160,161,163,166,167,169,169,168,168,167,167,165,163,164,177,128,68,146,117,82,158,155,154,153,151,153,156,159,161,163,165,167,168,170,171,170,171,171,169,171,170,169,172,110,83,158,108,92,163,155,155,154,152,154,157,160,162,165,166,167,169,171,171,171,172,173,165,124,136,187,171,101,109,163,93,95,168,156,157,155,154,156,159,160,163,165,167,169,171,172,173,172,170,168,171,121,71,152,164,88,130,172,88,103,170,159,160,157,156,155,159,162,165,166,169,172,172,173,175,171,179,176,170,164,121,91,86,57,129,157,79,119,171,161,161,159,158,157,160,165,168,169,170,172,173,176,176,174,189,187,176,191,170,111,54,27,96,121,72,133,170,163,161,160,160,160,163,166,170,170,172,174,176,178,174,183,170,123,160,161,165,114,63,47,67,78,62,147,169,163,161,161,160,160,164,167,169,172,172,175,178,178,175,192,160,91,141,136,158,142,86,53,48,58,58,158,169,164,163,163,160,161,164,167,169,172,174,177,178,178,177,195,172,127,99,71,133,163,104,60,45,46,65,166,169,166,164,164,163,163,165,167,170,172,175,178,179,179,180,182,134,104,81,35,80,180,123,79,53,41,77,174,167,167,166,164,163,163,165,168,170,172,176,179,181,178,189,179,133,120,97,63,143,183,132,107,66,41,93,180,167,169,169,165,163,163,166,169,171,174,176,179,181,179,195,173,147,119,91,146,206,165,127,117,74,47,102,182,168,169,169,166,164,164,167,169,172,174,177,180,180,183,202,185,142,105,127,211,176,141,114,106,76,55,121,181,169,171,169,167,165,165,168,170,173,176,179,182,182,189,217,177,124,118,169,213,165,134,98,86,75,62,147,178,171,172,170,168,165,165,169,171,174,177,179,182,181,194,212,146,146,121,187,202,162,132,100,70,68,73,168,176,174,172,172,169,167,162,165,170,173,176,178,180,179,195,196,168,164,118,199,188,149,119,97,72,63,96,179,173,173,171,171,169,167,162,165,169,172,175,178,180,180,187,196,198,148,143,200,164,131,105,83,74,61,129,181,173,172,171,170,168,166,163,166,170,173,176,177,180,179,183,195,188,148,132,172,150,113,91,74,68,70,160,180,175,172,172,171,169,167,162,167,171,174,176,178,180,180,184,186,160,140,126,146,141,110,94,77,57,97,180,176,176,173,172,171,169,168,162,167,171,172,176,179,181,181,183,171,152,143,144,143,151,132,90,72,53,128,184,176,175,173,172,171,170,168,162,166,170,173,176,179,181,182,182,184,175,175,165,147,142,130,83,65,59,153,182,174,173,173,172,170,170,168
15,89,88,90,89,93,94,94,97,98,105,115,122,128,131,135,139,141,143,145,148,151,153,155,156,157,159,161,162,88,89,89,88,91,93,90,95,98,106,114,121,127,132,136,140,141,143,146,148,150,154,156,157,158,161,162,163,89,89,89,89,91,91,104,94,95,106,115,123,129,133,136,141,142,143,147,150,151,154,156,157,160,162,165,164,90,89,89,91,80,121,166,132,109,105,111,121,130,136,139,143,143,143,145,149,152,155,157,159,160,162,163,164,90,89,88,91,82,123,169,157,148,137,125,126,121,130,137,142,144,145,148,150,153,154,157,160,161,161,163,164,90,90,90,90,90,92,131,133,130,143,142,143,133,127,123,127,131,136,142,149,155,159,160,160,161,162,165,166,89,90,89,90,92,91,94,105,106,119,127,132,146,142,135,132,130,132,131,125,128,134,147,165,162,165,165,167,89,89,89,90,90,93,94,95,100,107,110,107,128,134,133,128,131,143,149,138,120,108,93,139,168,163,166,167,90,90,90,90,92,95,96,96,99,107,115,117,122,125,123,119,115,142,149,151,134,125,100,85,153,169,165,169,88,90,90,90,91,93,95,95,98,109,116,124,130,132,132,126,126,152,150,151,141,138,122,102,98,163,169,168,89,90,90,90,91,92,94,96,99,106,113,123,129,137,143,136,160,160,140,145,156,144,139,125,94,102,168,169,90,90,90,90,92,92,94,96,99,106,129,128,130,129,134,157,165,154,119,147,156,143,158,135,110,82,114,176,89,90,90,91,92,92,95,97,92,128,159,141,146,142,125,137,135,112,97,141,141,139,165,140,113,96,79,133,89,89,89,89,90,92,93,96,95,124,141,147,165,165,135,111,121,104,78,132,125,145,160,141,118,101,88,84,89,88,88,89,90,92,93,95,98,107,121,132,160,159,129,129,136,128,121,121,125,134,139,133,117,100,88,86,88,88,88,88,89,92,92,94,98,108,117,128,136,125,124,141,139,133,139,141,130,104,101,114,106,97,87,85,87,87,86,88,88,89,90,91,97,109,117,119,130,136,113,129,140,142,146,148,131,100,87,95,95,93,94,86,86,85,86,87,88,88,89,90,97,107,116,120,139,185,121,87,90,131,139,143,126,97,90,94,93,94,96,92,85,85,85,86,86,88,90,91,97,108,115,119,136,176,125,81,51,76,122,132,113,97,97,96,93,94,98,95,85,85,85,86,86,87,89,89,97,108,115,119,134,168,117,73,89,63,83,120,97,92,94,98,99,97,97,95,85,85,85,85,86,87,88,89,95,107,115,119,133,167,109,86,100,83,94,113,123,107,106,105,103,100,96,93,83,83,83,83,84,86,87,88,95,104,112,120,129,172,96,97,119,101,132,99,131,117,111,104,99,97,95,91,81,81,81,82,82,84,86,86,93,104,112,117,135,180,83,102,167,76,147,138,112,92,94,94,93,93,94,93,84,82,83,84,83,83,85,84,91,102,111,116,133,144,77,116,167,74,134,160,116,114,119,76,78,82,80,82,126,124,122,120,118,117,119,120,121,121,122,123,131,115,99,138,130,102,141,144,147,152,151,100,73,75,75,77,102,100,99,97,98,99,102,104,101,100,98,96,99,98,102,105,103,103,105,104,106,103,105,103,84,84,91,95,101,100,100,99,99,99,100,98,98,100,99,97,98,100,100,100,99,100,102,101,100,98,99,101,101,106,110,104,102,102,101,101,100,101,103,100,101,102,105,103,103,105,102,101,103,103,105,104,104,103,104,106,104,107,132,112
11,146,149,151,153,156,156,158,159,160,160,159,159,160,158,158,157,156,155,154,154,152,151,150,149,148,147,146,144,149,151,153,156,157,158,160,161,161,162,161,160,161,160,160,159,158,157,156,155,153,153,152,151,149,148,146,146,150,153,155,157,159,160,162,162,163,163,163,162,162,161,160,160,160,159,157,156,156,155,153,152,151,150,148,147,152,154,156,158,161,161,163,164,163,165,164,165,164,163,162,161,156,158,161,158,157,156,155,153,153,152,150,148,153,156,158,159,161,164,166,166,165,165,165,165,165,165,163,168,155,110,158,160,158,158,158,155,155,154,151,149,154,158,159,160,163,165,166,166,166,167,166,166,166,166,163,173,162,90,138,166,159,160,159,158,157,155,153,152,156,158,162,163,165,165,167,168,167,168,168,168,168,167,165,173,157,96,132,170,160,160,160,160,157,156,155,153,157,159,163,164,165,167,170,170,171,170,170,169,169,169,164,178,166,103,131,171,162,160,160,159,159,157,155,154,158,160,163,166,166,169,171,171,171,171,171,169,170,171,165,184,174,110,123,173,163,162,161,161,160,157,156,155,160,162,164,166,169,170,171,172,172,172,172,171,170,171,167,186,161,100,122,173,163,163,163,162,160,159,157,156,161,164,165,168,170,171,172,172,172,172,172,171,174,176,173,186,155,95,126,174,164,165,164,164,162,160,158,157,162,165,167,170,172,172,173,173,173,175,178,178,165,135,156,191,153,100,134,175,165,166,166,164,163,162,160,158,165,165,169,171,172,173,174,179,181,170,144,157,155,108,98,167,132,90,144,175,167,167,166,166,165,163,160,159,165,167,169,171,174,175,175,148,155,165,115,78,140,128,76,84,90,76,162,174,169,168,167,166,166,164,161,160,166,169,171,172,174,179,179,136,88,153,128,75,140,126,75,65,69,93,178,170,170,170,170,169,168,168,163,160,166,170,172,175,174,189,184,159,86,134,136,75,130,110,73,67,66,102,181,171,172,170,166,161,153,150,163,165,169,171,173,175,182,200,187,156,89,101,120,68,115,106,69,59,56,97,183,171,172,166,157,150,130,117,115,144,170,172,174,174,192,185,169,154,94,73,108,70,134,117,78,53,61,103,184,166,175,174,143,117,94,89,74,89,171,172,176,175,195,197,173,145,79,89,123,73,165,155,91,60,76,98,162,170,170,130,77,67,104,126,120,133,172,174,177,176,199,200,175,128,95,112,176,98,158,154,73,72,108,118,151,163,131,73,78,153,178,175,173,169,172,174,178,176,201,197,162,142,135,101,197,113,76,121,101,121,122,116,132,117,72,89,171,177,170,168,166,165,171,175,177,176,198,194,173,155,128,115,151,106,115,157,151,132,115,100,100,68,81,177,177,172,172,170,168,166,173,176,179,178,192,194,181,161,147,161,168,173,155,144,135,121,111,88,66,74,166,181,174,175,173,172,170,168,173,176,180,179,187,190,177,159,137,137,152,157,144,140,122,114,104,61,88,168,183,177,177,176,175,172,170,169,173,177,177,183,187,184,171,139,118,134,147,141,136,124,115,106,66,101,183,185,178,178,177,176,175,172,171,170,171,180,94,67,167,172,157,133,135,143,141,133,122,107,84,68,120,188,182,180,179,177,177,176,174,172,170,168,181,134,53,45,91,156,166,162,155,135,133,116,93,61,89,166,190,182,181,181,179,178,177,176,175,172,170,168,173,80,54,62,52,79,137,147,138,124,115,98,68,66,182,192,182,183,182,181,179,178,177,176,174,172,171,170
1,142,145,147,150,152,156,158,159,160,161,161,162,162,162,162,161,161,160,159,158,157,157,156,154,152,152,150,149,144,147,149,152,154,157,159,161,162,163,163,163,163,163,163,162,166,162,148,155,158,158,157,155,154,152,151,150,146,149,152,155,157,160,162,163,164,165,165,165,165,166,169,159,162,160,124,140,152,155,158,157,156,154,153,152,148,152,155,157,159,162,165,166,167,167,167,167,167,172,181,147,131,148,110,117,132,139,157,158,158,157,155,154,151,155,158,160,162,164,167,168,170,170,170,171,169,173,181,135,111,140,106,112,123,119,154,161,160,159,158,156,153,156,159,162,165,167,169,171,172,172,173,181,167,142,155,124,115,149,112,112,122,111,152,163,162,161,159,158,155,158,162,165,167,169,171,173,174,175,178,189,155,109,129,117,118,149,113,108,123,112,151,166,164,163,161,159,157,161,164,167,169,172,174,175,177,177,183,190,142,100,122,110,110,135,106,116,133,115,148,168,167,166,164,162,159,163,166,168,171,174,176,178,179,180,189,190,138,99,115,102,115,131,102,118,133,113,147,170,169,168,166,164,161,164,167,170,173,175,177,180,181,182,194,184,132,105,120,104,125,137,103,117,129,111,149,172,172,170,168,166,163,166,169,172,175,177,179,181,182,184,196,178,129,111,128,103,114,125,102,129,135,113,152,173,173,172,169,167,164,167,170,173,177,178,180,182,184,187,201,181,135,104,110,87,91,100,96,137,134,114,155,175,175,174,172,170,166,169,172,175,178,179,182,184,187,190,200,173,131,98,93,89,89,96,103,127,116,111,161,177,177,175,174,172,168,172,175,177,179,181,184,187,189,193,201,177,149,134,119,120,112,127,128,108,96,117,170,179,178,176,174,173,169,173,177,179,181,184,187,189,191,202,214,192,161,161,161,157,152,156,133,96,88,132,177,180,179,177,175,173,170,174,178,181,184,187,189,190,193,212,216,174,139,138,154,164,162,156,140,108,85,138,181,182,180,179,177,175,172,175,180,183,187,189,191,192,196,218,205,156,125,105,109,128,137,153,161,127,91,140,182,183,182,180,178,176,174,177,181,185,189,191,193,194,201,223,209,168,128,110,101,111,142,156,178,147,102,130,180,185,183,182,180,178,176,179,183,187,190,193,195,197,205,225,211,174,129,117,110,149,187,173,178,154,111,109,170,187,185,184,181,179,177,181,185,189,192,195,197,199,208,225,212,173,128,122,128,188,210,190,165,138,113,105,167,189,187,185,183,181,178,182,187,190,194,196,199,201,210,225,213,169,131,126,153,211,214,188,157,126,100,111,175,191,189,187,185,182,180,184,188,192,195,198,200,202,212,225,207,168,140,129,175,218,208,182,152,124,92,124,185,193,191,188,186,185,181,186,190,193,196,199,202,204,212,222,204,177,151,140,193,216,200,174,145,113,95,152,193,194,193,190,188,186,182,186,191,195,198,200,203,203,208,217,204,189,159,152,197,207,188,162,130,99,116,180,197,196,194,191,189,187,183,187,192,196,199,202,200,169,165,202,203,192,156,143,178,183,165,140,110,96,154,196,199,197,195,193,191,189,185,189,193,198,200,202,185,116,98,148,177,172,131,121,143,147,132,109,89,123,187,201,200,199,197,195,193,191,185,189,194,198,201,200,158,91,75,85,106,113,99,105,115,113,94,77,99,170,201,202,201,200,198,195,194,192,184,188,194,198,200,194,133,83,72,69,72,77,78,85,87,83,62,56,126,196,203,202,202,201,198,196,194,192
12,185,185,187,189,189,192,192,192,192,191,191,191,191,190,190,189,189,188,187,187,187,186,185,185,183,182,182,181,186,186,187,189,191,192,193,193,193,194,193,193,192,191,191,190,191,189,189,188,187,187,186,185,184,183,184,183,187,187,188,191,193,193,193,194,194,195,194,195,193,191,180,168,176,188,182,181,188,189,187,185,185,185,185,185,188,188,190,192,193,194,194,195,195,195,195,195,193,186,158,124,107,166,152,123,127,177,190,188,186,186,186,186,188,189,192,193,194,194,195,196,196,196,193,191,193,170,140,109,100,152,134,107,68,132,174,177,187,187,187,186,189,191,192,194,195,195,196,197,196,196,184,155,175,171,149,95,129,168,137,107,95,140,131,103,140,186,187,186,191,192,192,195,197,197,197,197,198,202,185,143,161,193,152,92,162,182,138,113,125,133,115,82,72,141,190,188,192,193,193,195,197,198,198,197,206,211,189,148,142,178,129,86,175,179,124,118,163,147,117,83,64,89,185,189,193,194,195,196,197,199,199,198,211,202,182,140,100,100,93,67,123,136,91,132,188,152,126,78,52,77,182,190,194,195,196,196,199,200,199,205,217,197,161,124,91,44,43,85,129,144,127,164,190,143,101,59,49,81,184,189,194,195,196,198,199,199,204,213,199,183,143,114,86,46,100,173,185,177,165,176,147,103,80,72,57,87,189,192,195,196,198,199,200,200,214,215,186,157,141,146,97,125,188,193,183,174,160,166,160,115,107,99,72,114,193,192,196,197,199,200,201,203,223,213,189,166,144,159,154,201,203,188,179,179,162,163,156,122,96,90,69,155,195,192,197,199,200,201,202,207,225,217,202,192,169,170,188,200,202,185,185,174,156,160,142,106,80,68,70,180,194,193,197,199,201,202,202,209,225,221,208,196,182,175,185,189,192,184,181,168,159,153,124,89,69,54,91,193,194,193,198,200,202,203,203,209,224,222,207,189,175,173,177,184,189,182,177,163,153,130,100,74,62,47,120,199,195,194,198,199,201,202,203,208,221,218,197,177,171,176,178,189,191,180,168,154,133,103,80,65,55,46,149,201,197,195,198,200,202,203,204,207,210,204,193,188,184,180,180,196,186,169,150,138,115,88,72,59,47,77,185,200,198,195,199,201,202,204,205,211,218,218,212,204,191,177,177,193,175,151,131,120,97,79,66,49,66,161,199,199,198,198,200,201,203,205,206,218,224,221,212,199,186,175,174,184,162,135,117,101,83,69,54,81,162,199,199,199,199,199,200,202,203,204,208,223,224,218,207,190,178,174,175,170,148,124,103,85,65,68,123,183,203,202,201,200,201,200,200,202,203,202,211,224,219,210,200,186,173,172,173,160,138,111,83,61,78,159,200,202,202,202,201,201,200,199,200,202,203,201,216,215,207,197,193,182,166,168,163,142,123,101,68,68,161,202,203,203,201,201,201,200,199,197,160,188,200,205,213,200,192,185,182,174,171,166,155,129,106,85,64,135,199,203,203,203,202,201,200,200,199,198,79,87,138,208,203,185,176,173,174,178,170,157,146,118,94,70,81,183,206,205,204,203,202,201,201,200,199,199,76,67,74,154,179,168,159,164,173,176,157,144,134,107,83,57,119,203,207,206,205,203,202,202,201,200,201,200,71,71,71,67,80,91,90,97,113,126,124,123,116,94,70,58,162,208,206,206,206,204,203,202,201,200,201,199,69,68,70,57,19,32,39,38,37,40,46,61,76,73,52,82,186,207,206,206,206,205,203,201,200,200,200,199
11,223,226,227,229,232,231,232,233,233,232,231,230,227,228,228,226,224,223,221,221,219,218,215,214,212,212,210,206,225,228,230,232,232,235,234,234,234,233,233,232,230,231,233,230,228,226,224,223,221,221,218,216,214,213,211,208,225,229,233,233,235,237,236,236,236,237,235,233,232,232,217,229,232,228,227,226,222,222,220,219,216,215,213,211,229,231,234,236,238,237,237,238,238,239,237,237,234,250,185,172,239,228,229,229,226,223,223,221,219,216,215,213,231,233,236,239,240,239,239,239,240,240,240,239,237,255,191,139,237,231,231,231,229,226,226,224,222,218,215,214,233,235,238,239,240,241,241,242,242,242,241,240,240,250,189,145,232,234,231,232,230,229,227,224,223,221,219,216,235,237,240,240,242,244,244,244,244,244,243,241,240,255,205,150,230,238,233,233,232,231,229,226,224,222,219,218,236,240,241,243,245,246,246,246,245,244,245,244,244,255,215,147,223,242,234,234,233,232,230,227,226,222,221,220,238,241,242,245,247,247,247,248,247,247,246,243,251,255,199,140,224,242,236,236,235,233,231,228,226,225,224,222,239,241,245,247,246,247,248,248,248,247,251,248,255,255,196,136,231,243,237,237,236,236,234,231,228,227,223,222,240,245,247,249,248,249,251,254,255,249,219,205,255,251,198,145,237,242,240,240,238,238,236,233,230,227,223,223,244,247,249,249,252,255,252,231,224,243,197,133,212,228,171,146,247,243,240,240,240,238,236,234,232,230,226,223,245,248,251,251,239,226,255,202,136,174,214,150,118,146,121,156,255,245,243,241,240,239,237,234,233,231,229,225,246,250,252,255,231,144,200,219,134,156,217,149,100,116,104,193,255,245,245,244,243,242,241,238,232,231,230,228,249,250,255,255,247,166,159,231,141,155,199,136,102,115,103,204,255,246,246,243,239,231,221,227,239,235,230,228,251,250,255,255,250,176,130,203,133,137,182,127,99,103,93,202,255,246,247,234,230,210,186,176,182,229,232,228,250,255,255,255,237,183,109,160,126,150,193,143,92,99,98,209,255,245,255,239,203,169,144,139,107,187,242,228,250,255,255,255,235,174,105,179,133,169,247,171,104,111,114,188,248,251,234,171,110,121,162,181,169,217,240,231,253,255,255,255,221,152,126,223,178,170,255,168,101,133,165,198,240,232,171,100,146,239,253,250,249,242,234,231,251,255,255,255,209,210,154,240,254,120,180,147,141,185,176,193,201,165,103,167,255,251,244,242,238,238,237,233,252,255,255,255,231,214,152,204,197,121,196,229,209,191,161,163,148,98,165,255,250,249,248,245,242,239,238,236,255,255,255,255,249,217,223,235,241,228,222,212,196,180,155,132,100,142,255,254,252,250,248,246,243,241,240,237,255,255,255,255,246,218,205,219,242,228,212,202,178,172,142,94,156,255,255,254,253,251,248,246,245,243,240,238,255,255,255,255,233,194,182,206,215,206,201,179,171,154,100,177,255,255,255,255,255,252,248,247,246,245,240,238,125,195,255,240,209,176,201,211,206,193,179,165,134,109,195,255,255,255,255,255,255,252,250,247,245,243,240,238,73,91,224,241,232,231,216,200,195,169,140,98,145,237,255,255,255,255,255,255,254,252,250,247,244,241,239,237,101,94,106,188,229,223,201,185,173,142,92,138,255,255,255,255,255,255,255,255,254,253,250,248,247,243,240,240,90,92,85,92,140,162,170,161,138,106,82,235,255,255,255,255,255,255,255,255,254,254,251,249,247,243,242,229
8,70,79,84,90,96,101,105,109,112,116,119,121,123,124,126,126,127,127,127,128,128,128,128,127,128,127,127,126,74,81,87,94,100,106,110,112,119,121,124,126,128,128,129,129,129,130,130,130,131,130,129,129,129,127,127,126,80,87,92,99,108,113,115,137,108,125,131,132,134,134,135,134,133,135,137,136,135,134,133,133,131,131,130,128,83,92,96,103,112,116,123,163,78,110,142,138,140,140,140,141,140,140,141,140,140,138,138,137,136,135,134,132,86,95,99,108,115,120,133,178,73,95,151,143,146,148,147,147,148,147,145,145,148,146,142,143,142,142,141,138,91,99,103,112,121,124,138,187,72,93,158,149,152,154,155,153,151,154,157,156,139,145,153,148,148,147,146,143,96,102,107,117,125,129,139,183,80,92,163,154,157,154,152,161,175,112,111,186,136,83,146,157,153,154,152,149,99,105,112,121,128,135,144,191,96,83,166,158,170,176,109,143,188,122,72,145,151,91,92,166,159,159,157,155,103,108,117,126,135,139,149,194,120,90,159,162,199,210,179,164,138,131,144,170,108,60,62,146,168,163,162,160,105,111,121,131,139,143,149,195,151,124,149,185,198,198,203,152,136,141,150,151,115,61,20,119,178,165,166,164,109,115,125,135,143,150,151,189,159,149,174,190,162,135,210,158,129,143,119,103,131,88,22,132,180,168,169,168,113,118,128,138,145,154,154,185,182,156,178,186,167,101,145,182,93,65,57,115,151,106,51,156,181,174,173,170,116,122,132,143,150,157,157,184,204,133,165,157,146,125,110,173,102,28,13,162,174,130,60,114,191,176,177,174,119,124,134,146,152,160,161,183,214,128,110,152,105,109,104,146,131,81,18,132,202,154,83,53,179,183,179,177,121,127,139,148,154,162,165,180,211,166,83,110,111,93,115,141,148,83,131,196,183,155,96,35,142,195,182,182,121,129,142,151,159,166,170,180,218,191,117,76,131,99,143,188,151,129,196,202,158,115,88,44,143,199,185,184,124,132,144,153,161,167,174,178,219,201,147,89,97,111,152,201,187,210,208,174,145,100,65,54,179,194,188,191,128,134,147,157,162,168,175,181,218,212,173,121,88,112,140,204,205,214,202,165,123,88,42,94,215,205,201,179,128,134,148,157,165,171,177,182,215,218,187,143,110,117,131,192,212,209,185,148,108,77,35,158,179,121,78,31,129,135,149,159,167,172,179,180,209,217,198,156,138,125,126,170,208,203,171,129,95,66,38,59,20,0,2,8,130,137,150,161,168,174,181,182,201,211,204,170,155,146,113,150,186,194,162,115,87,57,20,0,0,1,0,11,130,140,152,162,170,176,182,186,191,207,206,183,162,158,108,143,162,183,147,105,76,50,7,0,0,8,0,0,131,139,153,163,170,176,182,188,185,198,203,186,168,152,109,112,154,152,133,89,65,30,5,0,0,1,4,0,129,138,153,162,168,174,181,187,188,183,201,188,170,144,112,87,136,134,113,80,58,0,0,9,0,0,5,0,130,141,154,163,169,175,180,186,193,181,208,202,174,145,113,86,108,126,98,72,41,0,0,0,0,0,0,1,131,142,155,163,170,176,182,187,193,184,204,198,164,136,115,88,95,107,89,58,24,0,0,0,5,0,0,0,131,142,156,164,171,177,182,187,194,175,208,174,141,142,124,95,86,93,90,44,0,6,0,0,0,4,0,0,128,138,148,157,165,173,179,187,185,136,222,177,155,163,136,97,79,86,86,26,0,7,0,0,0,3,0,0
12,122,124,127,129,132,134,135,137,140,141,143,145,148,149,148,148,150,151,152,153,152,153,151,152,152,154,154,154,123,126,129,131,133,135,137,139,140,142,145,147,149,151,153,154,151,151,148,146,156,154,154,154,154,155,155,155,125,128,130,132,134,136,139,140,142,144,148,148,149,137,119,138,157,156,136,103,115,163,157,159,160,155,157,155,126,129,131,133,135,138,139,141,144,146,146,152,166,141,120,97,160,165,141,117,74,150,139,132,143,161,157,158,127,130,132,135,135,138,140,143,145,147,146,161,180,157,142,94,133,173,135,128,90,84,119,115,87,137,164,157,128,130,134,135,137,139,142,145,146,148,147,165,182,166,141,100,130,179,137,129,85,65,133,118,86,74,165,158,129,132,135,137,139,141,143,146,147,149,150,165,182,178,149,115,129,183,144,126,72,80,144,114,78,54,149,164,130,133,136,138,140,142,144,147,150,150,150,154,145,174,159,123,118,176,137,110,58,91,146,110,74,52,139,169,132,135,136,138,141,143,146,147,149,150,162,137,93,118,156,106,103,155,116,101,62,83,136,108,78,51,136,171,132,134,138,140,142,144,147,149,148,168,167,120,98,77,126,96,89,141,111,102,64,79,128,107,81,48,135,173,134,135,138,141,142,145,148,146,164,166,154,129,112,76,92,97,71,132,110,87,62,80,131,111,81,49,149,168,134,137,139,141,143,145,148,150,164,134,151,143,113,84,61,93,85,115,131,98,69,102,165,132,87,59,167,165,134,137,140,142,144,147,148,155,166,131,136,138,108,89,50,92,101,111,150,112,72,117,170,139,71,52,161,168,135,139,141,142,145,148,148,158,161,139,115,129,114,88,46,61,90,65,110,107,52,96,129,81,66,65,94,173,136,139,140,143,146,149,148,162,161,138,109,132,110,77,58,28,37,19,88,135,121,139,127,102,91,80,69,161,137,140,141,144,147,149,148,164,164,139,113,119,104,73,65,33,39,69,148,162,158,147,134,109,89,74,78,165,138,140,143,145,148,149,150,165,163,138,111,101,104,81,74,40,58,123,162,160,156,139,125,101,83,66,90,175,139,141,144,146,148,151,152,166,163,145,127,103,89,95,76,57,101,160,164,170,153,131,116,98,80,62,102,179,138,141,143,146,149,151,151,166,162,150,137,125,103,90,92,110,138,172,169,174,145,123,109,90,76,63,140,176,139,142,144,148,150,151,151,165,166,155,141,134,129,112,114,127,138,173,172,165,134,113,103,87,68,86,173,170,139,141,144,147,149,152,153,160,164,158,145,139,138,125,114,120,134,176,169,150,127,108,95,82,61,117,178,168,138,141,144,145,148,152,154,157,158,157,150,143,138,129,117,111,140,176,162,138,122,102,86,78,60,144,177,170,139,140,143,146,149,152,154,155,152,154,151,144,140,130,115,106,138,163,151,123,109,93,79,70,73,168,172,170,139,141,144,147,150,152,154,155,156,156,154,146,140,129,118,102,133,149,134,111,98,83,76,60,113,177,169,172,139,141,144,148,150,152,154,156,157,159,151,141,136,122,110,97,129,133,113,102,87,75,70,71,160,173,170,171,139,142,144,146,150,153,154,156,154,158,142,127,122,108,92,98,122,121,102,95,80,76,65,121,177,170,170,171,139,142,145,146,149,153,154,154,153,161,137,123,115,95,93,99,119,116,101,91,80,70,79,167,172,171,171,171,140,142,145,148,151,152,156,150,158,164,138,131,117,102,104,108,123,112,100,82,73,61,123,175,171,172,172,172
5,184,187,192,193,193,196,197,197,198,200,200,199,201,201,201,200,206,203,201,201,200,199,198,197,195,194,195,193,188,192,195,196,197,200,201,202,202,203,205,205,206,207,206,206,171,200,205,204,205,203,202,200,199,198,198,196,193,197,201,202,202,205,206,207,207,208,210,210,207,210,211,228,140,173,219,208,209,208,207,205,205,203,201,201,199,202,205,206,207,209,211,212,211,213,213,212,214,171,187,242,150,146,227,212,213,212,211,211,209,208,206,204,204,206,210,212,213,214,215,216,216,218,219,215,233,167,147,250,147,127,233,216,218,215,215,213,212,212,211,209,207,210,216,217,217,219,221,221,222,222,223,220,241,184,133,243,147,130,236,220,221,220,219,217,216,215,215,213,210,212,219,220,221,224,224,224,218,223,228,224,244,190,120,239,164,139,239,226,226,226,224,222,220,220,220,217,215,217,221,224,225,228,227,234,189,177,239,225,246,204,124,234,151,144,242,228,230,229,233,231,223,223,222,220,218,220,225,228,229,230,228,237,201,137,237,229,250,208,109,225,143,148,246,232,232,228,186,210,234,225,224,224,220,224,229,231,232,232,231,242,229,115,229,236,248,206,98,224,172,149,250,230,237,237,184,152,234,232,228,227,222,226,231,233,233,234,236,241,227,119,227,240,240,225,111,194,189,152,248,226,214,190,226,192,188,234,232,230,227,229,234,236,236,238,239,240,248,133,203,248,233,235,120,145,192,164,244,231,206,86,183,217,151,217,240,233,229,233,238,238,240,240,240,242,255,174,165,251,236,241,124,137,189,162,230,225,190,143,227,190,156,243,238,236,229,234,239,241,241,241,244,243,237,241,192,204,234,222,153,167,172,144,194,207,159,212,247,147,201,250,237,239,233,237,241,244,245,246,245,249,231,249,233,188,193,192,161,161,160,147,197,206,163,235,223,116,225,247,241,240,237,240,242,246,247,249,248,250,244,244,255,217,183,181,149,157,153,151,189,201,182,255,190,99,242,247,244,243,238,242,244,246,248,250,251,251,251,247,255,245,168,163,140,133,145,156,186,195,182,255,184,121,255,246,246,246,239,244,247,247,249,250,251,252,254,250,255,255,174,129,130,123,140,174,198,180,171,255,186,141,255,247,248,248,243,247,248,250,251,251,254,255,255,251,255,252,184,131,129,124,161,190,213,229,187,236,187,149,255,250,249,248,243,247,248,249,252,255,255,255,255,251,255,245,184,134,122,135,178,199,237,252,204,204,159,142,255,252,252,249,246,248,250,252,255,255,255,255,255,250,255,246,195,136,121,146,195,230,237,241,221,167,111,124,255,253,254,254,247,248,250,254,255,255,255,255,255,251,255,247,200,139,124,144,207,247,243,230,193,133,71,160,255,253,255,255,247,249,255,255,255,255,255,255,255,255,255,245,200,142,132,135,219,255,240,205,165,100,99,252,255,255,255,255,249,250,255,255,255,255,255,255,255,251,237,242,200,148,143,132,216,242,213,178,138,81,209,255,255,255,255,255,249,250,254,255,255,255,255,255,255,254,228,233,189,163,150,135,198,217,196,165,96,131,255,255,255,255,255,255,248,250,254,255,255,255,255,255,255,255,225,219,182,170,142,132,187,201,184,123,79,237,255,255,255,255,255,255,247,250,254,255,255,255,255,255,255,255,230,222,187,168,145,118,167,166,134,77,194,255,255,255,255,255,255,255,248,250,254,255,255,255,255,255,255,251,238,223,174,158,148,114,143,126,76,154,255,255,255,255,255,255,255,255
11,94,98,103,108,112,114,118,121,124,125,126,130,139,118,131,130,129,130,129,129,129,128,127,128,112,131,140,144,97,102,107,113,115,119,122,125,128,130,129,135,153,90,129,134,132,131,131,130,129,128,128,125,125,144,145,149,100,104,112,118,121,124,128,131,133,135,134,139,171,86,114,141,134,134,134,133,133,132,130,126,143,101,142,152,104,108,116,122,126,128,133,136,138,141,139,146,174,83,103,148,139,139,138,137,137,136,134,132,133,137,154,150,107,112,120,127,131,134,138,142,144,146,145,152,169,78,106,153,143,144,143,142,141,140,139,136,135,140,118,145,109,115,125,131,135,139,143,147,149,151,150,161,173,81,112,158,148,150,149,148,147,145,142,140,140,132,118,148,112,118,129,135,140,144,148,151,154,157,152,178,167,67,125,163,154,155,154,153,151,149,147,145,144,141,140,153,115,122,134,140,144,148,152,156,159,162,157,192,166,65,141,166,159,159,159,158,156,154,152,149,148,145,143,161,118,125,137,143,148,151,156,160,163,163,166,173,111,70,147,169,163,163,162,162,161,159,158,154,153,150,147,163,121,129,139,146,152,157,160,164,166,164,194,168,82,66,152,172,167,166,166,166,165,164,162,159,156,153,151,164,124,131,143,150,154,159,164,165,171,171,120,137,112,74,160,174,170,170,170,169,168,167,164,163,160,159,154,163,126,135,146,152,157,162,165,173,205,169,76,75,125,82,153,179,173,173,173,171,171,169,168,164,168,142,83,173,128,137,148,155,159,162,173,139,139,150,110,72,115,85,133,184,174,176,176,175,174,173,173,169,176,98,45,105,130,139,150,157,160,178,190,130,74,96,136,83,89,90,107,186,176,179,179,178,173,163,152,150,143,65,55,47,131,142,152,158,180,184,158,154,125,75,109,91,72,102,80,178,182,182,176,169,170,153,135,133,112,66,55,54,133,144,152,181,185,131,95,130,150,89,72,82,63,124,100,151,188,175,175,174,173,149,125,108,87,57,49,51,134,145,155,190,165,114,84,68,136,93,65,86,51,116,132,87,145,178,183,166,134,104,70,44,43,44,42,49,135,146,155,181,146,96,73,49,111,103,68,98,55,81,123,94,147,174,157,114,78,56,36,39,40,38,43,39,135,148,154,172,143,101,80,62,80,108,77,110,79,124,133,115,141,136,98,54,37,51,47,32,35,38,46,20,135,147,153,175,159,116,90,73,71,88,100,123,118,163,132,98,109,77,36,44,35,37,50,41,27,30,30,27,136,149,155,178,163,125,105,80,81,90,140,176,178,153,114,94,70,43,30,34,44,32,37,45,35,27,26,28,138,150,157,178,168,139,113,86,94,98,162,183,164,135,100,78,24,30,46,25,39,41,30,34,41,28,26,27,131,141,149,172,168,145,117,96,103,101,156,171,143,112,90,66,24,16,43,38,27,40,37,28,32,34,21,26,93,96,91,130,166,151,123,110,106,104,138,159,135,103,81,47,39,10,31,44,33,31,37,30,25,34,24,19,94,94,92,104,158,154,129,120,109,99,128,144,125,94,52,23,48,14,17,40,38,33,31,31,22,26,29,17,95,96,96,98,156,152,134,123,109,88,113,115,97,66,25,17,45,28,7,32,41,33,30,29,24,22,24,24,95,96,97,97,157,159,137,122,106,91,96,97,68,23,27,21,36,41,10,18,40,34,28,30,27,23,20,20,95,96,98,90,146,159,124,110,101,92,94,85,52,20,8,26,29,45,24,8,31,37,27,28,28,22,21,17
4,46,55,76,91,98,105,110,116,119,123,125,127,132,134,138,142,143,145,148,147,149,151,152,153,153,153,154,155,48,58,78,93,100,108,111,117,121,124,127,130,132,135,137,141,146,148,148,153,152,152,153,155,156,155,156,157,49,61,82,93,100,107,113,119,123,126,124,127,133,139,147,139,123,138,148,135,148,158,155,157,159,159,159,160,51,61,84,95,102,108,114,120,125,124,148,150,125,130,184,153,85,55,125,92,65,153,161,157,161,160,161,160,51,64,86,95,105,111,115,119,131,133,130,168,164,93,123,141,76,26,66,94,33,105,172,157,162,162,162,161,51,68,88,96,105,111,118,116,165,162,122,101,117,83,61,113,65,20,87,101,29,86,175,159,163,164,164,164,52,70,90,98,107,113,114,135,182,174,146,105,47,45,57,149,75,32,131,81,7,100,176,161,164,166,167,167,54,72,91,98,107,114,110,160,157,127,138,77,36,25,50,131,87,127,135,84,19,123,173,162,167,167,169,169,54,76,93,99,107,116,111,169,130,108,132,47,23,36,14,73,121,146,114,116,74,110,176,165,168,169,170,171,57,77,93,100,109,116,118,184,147,130,116,60,8,75,107,120,125,109,103,134,111,81,127,180,170,171,171,172,59,81,95,102,110,112,131,187,132,103,91,62,0,82,126,101,102,57,97,152,135,122,70,134,181,170,173,173,61,84,96,102,111,109,143,177,119,87,64,30,0,0,41,53,38,34,94,134,152,136,96,59,152,178,174,175,64,85,96,103,113,107,166,187,134,103,82,52,19,3,10,13,67,155,150,145,140,118,111,62,85,184,173,176,65,86,96,105,114,108,185,183,135,121,89,53,33,31,72,130,171,180,159,144,120,84,87,59,86,186,175,179,66,87,97,105,113,113,198,184,158,131,88,67,48,62,145,177,183,182,160,130,106,69,60,48,139,183,177,179,66,88,98,105,112,118,208,189,163,124,88,83,56,109,170,171,182,176,148,116,88,64,41,76,183,176,179,180,70,89,99,107,113,118,203,190,156,120,101,101,81,137,166,166,175,165,133,103,79,57,33,142,187,177,180,182,73,90,99,108,116,120,201,186,151,134,132,114,110,148,162,171,161,142,116,89,73,43,76,185,178,180,181,183,73,92,99,108,116,119,185,185,167,155,144,119,122,153,160,160,139,120,100,77,61,36,149,187,179,181,183,183,76,91,98,109,118,115,167,193,181,166,142,115,100,133,143,137,121,103,86,70,38,87,188,179,181,182,185,185,78,91,98,109,119,117,150,193,169,158,138,109,89,115,126,122,103,86,74,55,43,164,184,183,185,184,185,186,80,93,99,109,119,121,137,186,156,138,124,97,98,113,127,121,99,79,68,34,116,189,179,184,185,186,186,186,82,92,100,111,119,123,132,173,140,129,115,101,123,107,108,113,88,69,44,57,180,182,182,184,186,187,187,188,83,92,103,112,119,126,129,177,144,138,124,128,136,108,91,99,79,60,32,125,190,179,182,183,187,188,189,189,82,93,104,112,121,122,168,168,166,143,133,131,119,101,81,84,72,56,35,162,186,180,183,187,187,188,189,190,84,93,103,114,113,146,188,162,134,142,142,127,106,94,74,69,60,50,30,160,187,180,185,187,189,189,189,191,86,93,104,112,121,188,171,179,146,80,125,118,98,87,58,57,55,44,31,162,186,184,186,187,189,189,190,191,87,94,108,107,153,188,166,170,188,125,56,91,92,79,48,53,51,40,25,158,186,186,187,188,190,190,191,191
1,168,168,168,168,169,170,170,169,170,170,169,170,169,169,168,166,166,165,164,162,161,160,159,158,157,155,153,151,172,172,172,172,172,173,173,174,174,174,173,173,172,172,171,170,168,156,165,166,165,164,163,160,159,157,155,154,176,176,176,176,176,177,177,177,178,177,176,176,176,174,172,164,173,126,146,170,168,167,166,164,163,160,158,157,180,180,179,179,180,180,180,180,181,180,180,180,179,178,179,131,158,125,116,148,170,170,168,166,165,163,161,161,184,182,182,182,183,184,184,184,184,184,184,184,184,182,179,117,156,116,73,101,151,173,171,170,168,166,165,162,186,186,186,185,186,186,186,187,186,186,187,187,185,186,171,108,161,106,90,117,127,176,173,172,171,169,167,165,188,189,189,189,189,189,190,190,189,188,188,183,159,185,161,110,172,111,110,128,113,179,176,175,174,172,170,167,192,192,192,192,193,193,194,193,193,192,191,180,126,169,158,124,164,103,123,135,114,181,179,178,176,174,173,171,194,195,194,195,196,194,194,194,195,194,192,177,113,169,138,140,151,100,148,141,113,183,182,181,179,177,176,174,197,197,197,197,197,197,196,196,197,197,196,168,110,171,127,156,152,108,168,137,113,186,184,183,181,180,178,176,199,200,200,200,200,200,200,200,200,200,197,159,107,180,128,159,156,105,166,136,117,187,186,185,184,182,181,178,201,201,201,202,201,202,203,202,201,202,198,143,108,180,116,148,144,92,169,143,125,191,189,187,186,185,183,180,203,203,203,203,203,203,204,204,204,203,199,141,110,168,100,141,134,92,168,137,124,194,192,189,188,187,185,182,205,205,205,205,205,206,206,206,205,205,194,132,115,157,132,154,155,117,132,123,125,196,194,192,190,188,186,184,207,207,208,207,207,207,208,207,207,205,184,152,150,131,137,143,146,136,122,110,104,193,195,194,193,191,189,187,208,208,209,209,208,208,209,209,208,205,189,158,128,115,120,139,150,131,123,132,100,176,198,196,195,192,189,188,209,209,210,210,210,209,210,210,209,206,185,141,107,113,119,151,156,140,170,161,117,146,200,197,195,193,191,190,210,210,211,211,211,210,212,212,210,202,183,138,103,121,130,158,168,178,146,168,144,121,200,199,198,195,194,192,211,211,212,213,213,213,214,213,211,197,188,148,102,112,143,167,177,187,162,153,137,96,195,200,200,197,196,194,213,213,214,214,214,214,214,214,210,193,192,159,116,104,143,171,180,178,160,141,104,82,195,202,201,199,197,195,215,215,215,215,215,215,216,216,212,189,192,162,126,106,139,184,192,185,156,123,89,112,203,203,202,201,199,196,215,215,216,216,216,216,217,217,214,186,180,162,133,118,149,195,191,176,141,108,76,168,206,204,202,201,200,197,215,215,216,216,216,217,217,218,216,192,180,164,142,127,161,191,181,159,124,93,91,203,207,205,203,202,202,199,213,214,215,215,215,216,216,217,217,199,179,171,155,131,161,180,167,139,103,75,142,208,208,206,203,202,201,199,214,214,215,216,216,216,217,217,217,207,180,174,158,137,150,157,140,111,80,81,195,208,207,205,203,201,200,197,215,215,216,216,216,217,217,217,218,205,185,176,158,140,139,141,114,86,70,165,209,209,208,205,203,202,200,197,214,215,216,217,216,216,217,218,218,194,189,178,169,152,133,123,91,67,156,210,211,209,208,207,205,202,201,192,214,215,216,217,216,216,218,218,213,183,194,182,177,149,127,101,70,97,208,213,212,210,208,207,205,190,161,112
19,175,176,179,179,178,177,178,177,177,176,177,176,176,175,174,174,172,172,171,170,169,169,168,166,166,165,163,162,177,177,178,178,178,179,178,179,178,178,178,177,176,175,174,174,174,173,171,170,170,169,169,167,167,167,163,162,178,179,178,180,182,181,181,184,183,178,179,179,178,176,176,175,175,174,173,172,171,170,170,169,168,166,164,164,178,180,182,182,182,183,173,158,165,185,178,180,180,177,177,176,176,175,174,172,172,171,171,169,168,166,165,164,181,182,182,184,178,200,193,160,119,157,187,180,181,178,179,178,176,176,175,173,173,173,171,170,168,168,167,165,182,182,182,184,180,190,220,188,144,94,172,185,181,180,178,178,177,177,176,175,174,173,173,170,170,170,167,165,184,185,184,186,185,183,216,201,160,89,116,194,181,180,178,179,179,177,176,175,174,174,174,172,171,169,167,167,186,186,185,186,186,179,208,198,150,98,83,183,183,181,181,179,179,179,175,175,175,175,174,173,172,170,168,167,188,186,188,189,185,206,203,178,148,99,77,177,189,187,184,182,180,181,178,176,178,176,174,175,174,172,169,167,187,188,190,184,216,234,202,173,174,162,142,165,168,175,185,186,184,181,180,178,176,176,175,175,174,173,170,169,190,191,186,199,227,190,153,145,167,198,204,189,171,157,148,163,177,183,184,178,177,178,177,176,175,173,170,169,190,191,188,230,222,195,141,100,114,166,200,209,206,197,168,156,148,162,170,179,182,180,178,177,175,174,173,170,193,187,216,236,213,194,173,141,112,124,153,174,188,197,194,193,187,184,158,143,157,174,184,178,175,175,174,171,192,193,227,213,184,171,164,165,171,156,142,137,135,146,164,180,194,206,197,165,145,122,147,177,179,175,174,171,188,214,238,208,164,140,142,129,170,189,175,160,137,104,104,145,149,167,176,177,169,143,131,151,165,177,174,173,195,239,244,207,176,159,155,151,146,167,187,182,162,126,107,150,186,170,160,151,151,154,161,151,134,182,174,174,213,242,226,198,178,176,180,181,174,130,123,161,161,146,134,109,184,193,190,184,173,162,152,147,165,180,175,175,230,235,211,180,155,168,200,192,196,144,104,133,118,135,139,122,186,190,189,189,189,188,182,181,181,177,177,175,231,235,209,166,140,114,157,191,210,177,153,131,119,104,106,167,193,189,189,188,185,184,184,183,180,177,176,174,241,242,197,167,156,151,140,144,131,185,190,145,139,110,160,197,189,190,189,189,187,184,183,182,181,179,177,175,243,227,193,173,166,165,164,150,133,156,167,161,123,141,199,191,190,191,191,189,187,185,184,183,183,181,179,176,233,218,200,181,177,174,162,146,134,133,122,110,151,193,196,193,193,191,191,189,188,186,185,184,182,181,179,177,230,209,190,176,169,176,167,151,134,139,119,146,202,196,195,193,194,192,191,190,188,188,187,186,184,183,180,177,223,207,186,151,130,131,137,139,135,131,142,197,198,196,196,194,191,191,190,190,189,188,186,185,183,182,180,180,208,188,159,121,100,82,136,163,152,173,200,202,203,201,201,199,196,196,196,195,195,191,186,183,186,190,190,181,186,155,122,112,99,90,168,184,179,179,174,174,173,172,171,171,171,171,173,165,159,171,189,197,196,182,175,167,148,127,113,109,103,100,100,98,94,93,93,94,93,91,90,91,92,90,83,106,151,187,190,179,172,180,183,146,123,113,108,105,107,104,101,100,97,95,96,96,94,93,92,92,91,87,142,202,193,181,170,175,158,182,211,154
19,172,172,175,175,174,174,174,173,173,173,173,172,172,171,170,171,169,169,168,167,166,166,165,164,163,162,161,159,173,174,174,174,175,175,175,175,174,174,174,173,173,172,171,171,171,170,168,167,167,166,165,164,164,163,161,160,174,175,175,176,177,177,176,177,177,175,175,175,174,173,172,172,172,171,170,168,168,167,167,166,165,163,161,161,175,176,178,178,178,179,171,159,161,176,176,176,176,173,173,173,172,171,170,169,169,168,167,166,165,163,162,162,177,178,178,179,177,191,186,159,129,152,178,177,177,175,175,174,173,172,171,170,170,169,168,167,165,165,164,163,178,178,179,179,178,187,207,181,142,109,163,179,177,176,174,174,174,173,172,171,170,170,169,167,167,166,164,162,180,180,180,181,180,181,206,192,153,100,122,180,179,176,175,175,175,174,172,171,171,171,170,169,168,166,164,164,181,182,181,182,181,180,200,189,148,102,94,173,179,178,177,175,175,175,172,171,172,171,171,170,169,167,165,164,183,182,183,183,184,199,197,175,147,107,93,168,181,181,180,178,177,177,174,173,173,172,171,171,170,168,166,165,183,183,184,183,207,218,193,170,167,157,144,164,167,172,177,179,178,178,176,174,173,172,172,171,171,169,167,166,185,185,184,196,214,188,156,145,161,186,193,184,170,159,152,162,171,177,177,175,174,174,173,172,171,170,167,166,186,186,188,218,214,188,144,112,121,162,190,198,196,188,167,158,152,162,167,173,175,176,175,173,172,170,169,167,187,186,208,223,205,187,166,139,120,130,153,170,181,187,184,183,180,179,160,148,156,167,175,174,172,171,170,168,187,191,217,206,182,168,160,158,162,154,145,141,139,146,160,175,185,194,186,162,146,130,148,170,174,172,170,168,186,208,225,202,166,144,142,136,165,178,170,157,137,112,113,144,153,166,172,170,161,142,136,150,161,172,171,170,194,227,230,201,173,158,154,150,150,163,176,174,156,127,114,144,176,169,161,154,152,152,154,150,141,173,172,171,208,230,218,192,173,170,175,175,168,137,130,155,155,143,131,120,176,185,183,178,170,160,152,149,161,174,172,171,222,225,205,177,156,163,187,188,185,146,116,130,124,132,135,129,178,185,185,184,183,181,176,175,175,173,173,172,224,226,201,165,141,125,156,183,194,172,151,132,121,110,118,160,185,185,185,183,181,180,179,178,176,174,173,171,231,229,193,166,153,148,142,145,140,175,177,147,134,117,157,186,186,185,185,184,182,180,179,178,177,175,173,171,232,218,190,171,164,162,158,148,136,153,161,152,131,144,186,187,186,186,186,184,182,181,180,179,179,177,175,172,225,211,193,177,172,170,160,145,134,134,125,120,151,182,190,188,188,186,186,185,183,182,181,180,178,177,175,173,221,203,187,172,165,168,161,147,134,135,125,148,188,191,191,189,189,187,186,185,183,183,182,181,180,178,176,173,214,199,180,150,132,131,139,141,137,136,146,185,193,192,192,190,188,187,186,186,185,184,182,180,180,179,177,176,200,182,156,124,104,95,135,157,152,167,187,194,194,193,192,191,188,188,188,187,186,184,182,180,182,184,183,176,178,153,126,113,101,98,154,170,168,168,167,167,166,165,165,164,164,164,164,161,161,170,183,189,188,179,173,164,146,128,115,110,105,102,107,106,103,102,101,102,101,100,99,99,100,98,99,118,152,180,183,176,171,176,178,150,125,115,110,107,108,106,103,102,99,98,98,98,97,95,94,94,93,94,138,184,184,177,169,171,160,177,197,156
8,180,182,183,184,184,185,186,186,187,187,185,186,186,186,187,187,186,186,184,182,180,178,178,177,175,175,173,171,183,184,184,185,186,188,189,189,189,189,188,189,189,188,189,188,187,186,185,184,183,181,180,180,177,176,175,172,184,186,186,188,190,190,191,191,190,195,202,168,190,190,191,191,190,189,187,186,185,183,182,181,180,178,176,175,187,187,188,189,191,192,192,193,188,207,210,142,190,194,192,192,192,190,189,188,188,186,185,183,182,181,179,178,188,188,190,191,192,193,193,196,189,216,206,141,196,193,196,196,191,193,191,189,190,186,187,186,183,183,182,180,190,191,193,194,195,195,195,198,191,222,212,149,201,210,185,189,203,186,186,193,189,196,185,178,189,184,184,182,193,194,195,196,196,197,196,198,192,229,210,147,221,238,183,161,225,183,153,194,181,209,182,153,193,186,186,184,194,195,196,197,197,198,197,199,192,230,212,148,236,243,198,154,216,193,140,190,183,199,190,141,192,189,186,184,195,196,197,198,199,200,200,202,196,229,229,184,239,247,207,152,207,199,130,192,184,170,202,150,166,192,188,186,196,197,198,199,201,202,202,203,199,233,225,228,231,237,210,145,192,194,127,198,176,130,186,183,140,170,194,187,197,198,200,201,202,202,202,201,207,236,223,226,229,223,201,137,193,184,131,196,156,123,173,202,137,166,196,188,198,199,201,203,204,204,206,199,220,237,201,204,202,211,215,142,189,179,119,166,147,127,196,209,141,182,195,191,199,202,203,203,204,206,205,200,229,242,185,178,175,182,218,139,191,182,106,168,133,147,220,193,142,195,195,191,201,203,204,205,206,205,208,203,233,243,201,161,168,172,179,170,195,170,131,176,141,197,218,164,146,203,196,197,203,204,205,206,207,207,210,206,235,245,209,171,151,168,185,209,185,181,203,207,202,199,189,144,159,198,189,168,202,204,205,206,207,208,211,206,235,246,217,185,154,163,195,206,214,232,237,224,199,171,156,133,125,126,117,103,202,203,206,206,206,208,209,205,234,247,224,201,167,160,197,225,242,240,227,214,187,155,134,117,116,112,105,102,203,204,205,207,209,209,210,206,232,247,235,214,190,174,200,233,242,232,218,197,169,140,121,114,111,104,103,103,205,206,206,209,211,209,212,208,226,247,241,222,204,181,202,235,236,222,203,176,145,122,109,103,86,77,64,53,205,208,209,209,211,210,212,210,217,247,244,226,203,186,198,228,224,205,185,152,123,106,97,89,78,66,63,49,205,207,208,208,210,212,214,215,219,247,238,218,198,184,195,211,203,183,164,130,108,104,98,84,67,57,58,54,210,212,213,213,215,214,222,186,180,247,206,201,185,176,193,196,179,158,133,105,97,99,101,97,74,53,50,52,183,186,187,189,192,193,209,121,101,236,201,199,184,182,188,180,157,132,104,76,81,91,87,97,93,63,45,47,119,118,115,117,118,118,130,120,64,156,208,199,190,182,172,164,136,110,62,47,60,80,76,85,100,78,51,42,118,117,121,120,119,117,121,132,114,114,161,181,180,164,152,137,112,79,24,29,58,71,69,72,93,88,61,42,123,121,124,125,126,124,130,129,111,116,115,123,142,142,125,122,90,44,18,53,85,88,58,64,83,93,74,48,125,122,124,125,126,124,132,131,110,109,108,100,97,100,100,100,74,28,38,78,96,88,50,58,73,90,83,60,125,122,125,127,128,127,135,127,113,111,108,103,93,85,81,77,72,62,63,64,64,55,39,49,65,81,86,69
21,100,101,107,112,117,121,123,126,130,132,136,137,139,142,143,143,144,146,146,146,148,148,147,147,148,149,148,148,101,104,109,114,119,123,125,128,132,135,137,139,141,144,145,145,150,148,149,149,149,149,149,150,151,151,150,150,102,105,111,116,121,125,127,131,134,137,138,141,144,146,151,132,116,152,150,151,151,153,156,153,153,154,153,154,103,107,113,118,123,127,130,132,135,138,141,144,146,148,155,139,73,146,155,153,155,143,133,158,156,155,155,155,106,109,115,121,125,128,132,134,137,139,143,146,149,148,157,148,79,127,162,154,157,147,85,139,163,158,157,156,108,110,116,123,127,130,133,136,139,142,145,148,151,151,158,151,86,108,165,154,159,155,92,112,168,158,159,158,109,112,119,125,128,132,135,139,141,145,147,150,153,154,157,153,101,96,163,158,161,153,98,98,168,159,160,160,110,114,120,126,130,133,137,139,142,146,149,152,154,155,157,164,128,90,154,162,162,155,105,91,167,162,162,162,111,115,122,128,132,135,138,141,144,147,150,153,155,157,157,168,137,90,139,167,162,161,122,88,164,165,165,164,112,116,124,129,133,136,139,143,145,149,152,154,156,159,160,173,143,97,120,171,162,162,130,85,159,168,166,167,113,118,125,130,134,137,141,144,146,150,153,156,157,157,152,178,161,118,110,171,166,160,136,85,153,171,167,168,113,119,126,131,135,138,141,145,148,151,154,156,159,154,140,145,177,142,108,165,167,169,151,91,150,172,168,168,115,120,127,132,136,140,143,146,150,153,156,157,168,184,172,139,133,130,103,160,171,169,155,92,148,174,168,168,115,121,128,132,138,141,145,148,150,153,156,159,163,159,168,162,127,89,77,140,169,157,149,90,146,177,169,170,116,121,128,133,138,143,144,148,151,155,157,160,160,143,125,117,137,108,100,98,114,134,137,88,142,180,170,172,118,123,130,135,139,143,146,149,152,156,159,160,166,174,154,106,104,142,144,135,99,85,117,83,135,181,171,172,118,125,131,136,140,143,148,151,153,157,160,164,155,146,161,126,66,101,153,149,114,66,83,73,134,182,173,173,119,126,132,136,140,143,147,150,153,158,160,164,156,91,121,137,79,45,97,140,125,95,64,57,128,183,172,175,119,127,133,138,141,144,148,151,154,158,161,165,154,127,109,125,110,81,29,106,148,120,79,49,106,186,174,176,119,125,132,137,141,144,149,152,154,158,162,164,168,154,103,82,110,96,45,70,150,142,106,65,83,183,175,176,118,125,131,136,139,143,148,151,155,158,161,162,174,149,121,99,73,65,74,103,147,160,122,92,73,170,179,177,120,126,132,137,141,143,148,152,155,158,162,162,177,169,148,99,78,86,107,165,165,148,122,97,71,164,180,177,120,126,133,137,142,145,149,153,155,159,163,163,176,171,134,93,98,107,130,185,166,139,106,84,68,166,180,177,120,127,133,137,142,146,150,153,155,159,161,162,172,169,130,117,112,100,144,187,157,131,100,74,69,169,180,178,120,126,133,137,141,145,149,151,155,159,160,162,168,165,145,123,105,102,151,184,154,125,95,74,72,171,179,178,122,129,135,141,145,149,153,156,160,163,165,167,168,162,149,113,112,111,146,175,151,124,90,70,76,173,178,177,98,101,107,113,115,120,125,131,136,142,145,147,153,159,149,116,133,114,135,164,135,110,84,66,85,184,180,181,75,76,75,75,75,77,78,81,82,83,85,85,91,148,151,127,135,120,124,156,119,94,77,68,78,125,128,132
2,183,187,190,191,192,193,194,195,195,194,194,194,192,192,193,192,192,192,193,190,185,183,182,181,180,178,176,174,187,188,191,192,192,195,196,197,196,197,197,197,200,199,197,195,193,187,177,185,195,187,184,182,180,178,178,176,188,189,192,193,194,195,196,198,198,198,199,185,158,160,168,165,153,145,127,104,143,184,191,187,182,181,179,177,189,192,195,196,196,196,198,199,198,200,199,176,149,146,152,154,145,131,121,92,73,113,144,166,187,182,182,179,190,193,195,196,198,199,200,200,201,204,187,163,167,165,165,161,148,120,98,103,108,103,108,118,188,182,182,179,190,193,195,198,199,200,201,200,203,198,166,156,172,173,161,151,147,122,110,118,134,131,95,106,189,184,182,181,191,194,197,199,199,199,201,202,204,194,175,167,159,144,131,156,167,96,77,98,109,102,92,158,192,185,183,182,193,195,198,199,200,202,202,203,205,195,169,169,160,144,135,131,103,118,176,149,126,134,186,196,186,187,184,183,194,197,197,199,201,203,204,205,203,192,189,175,152,130,102,98,120,190,208,205,203,201,193,193,195,195,190,183,195,197,197,200,204,204,204,204,183,182,178,155,120,59,124,202,207,205,199,197,197,194,199,180,139,122,165,189,195,197,200,201,203,203,206,201,174,171,153,122,70,28,131,220,202,204,203,200,197,200,180,113,80,72,105,191,195,198,200,203,204,205,204,193,166,153,118,69,50,47,120,216,202,205,203,199,203,184,123,89,84,76,100,194,196,200,200,202,205,206,200,192,175,144,80,45,58,50,136,217,202,205,201,204,191,125,96,95,84,65,148,196,198,199,202,202,204,206,199,194,174,143,83,48,61,50,118,225,204,204,205,207,134,78,80,87,70,98,196,187,197,200,203,204,205,205,202,193,170,136,76,52,62,55,53,162,212,213,205,154,96,65,67,71,68,176,195,188,198,201,203,206,206,206,198,192,170,124,71,67,62,56,57,57,107,168,127,89,84,85,67,66,162,200,190,190,198,200,204,206,208,205,198,193,168,122,87,76,60,60,64,68,65,72,68,68,80,79,72,170,204,195,193,190,198,200,204,206,208,206,197,189,168,133,94,74,59,60,61,69,75,79,72,74,83,68,166,206,195,196,194,190,197,200,204,206,207,206,191,182,168,131,99,79,58,59,61,68,74,81,79,72,58,135,214,196,198,196,193,190,197,200,204,206,208,205,187,179,163,129,108,79,55,59,64,68,74,83,88,67,82,200,203,199,197,196,194,192,198,201,205,206,208,204,188,179,158,133,106,77,58,58,65,71,76,81,84,62,170,212,200,201,199,196,196,193,198,201,205,206,209,202,183,186,171,133,104,85,59,57,66,73,79,85,69,86,211,204,204,202,199,198,196,193,198,200,204,205,210,197,182,196,176,131,103,85,61,55,69,75,80,84,52,153,215,202,202,201,199,197,195,192,196,199,202,204,207,193,186,195,167,128,102,87,65,52,70,77,80,59,88,210,204,202,201,199,197,195,193,192,195,198,199,202,205,189,187,187,160,121,99,88,68,54,68,76,66,58,182,210,201,201,200,198,197,195,192,191,195,198,199,201,205,188,184,179,150,119,102,88,69,55,67,68,49,157,213,201,203,200,198,197,196,194,191,189,195,197,198,201,203,186,180,165,138,115,98,83,66,57,58,58,150,216,203,204,202,200,198,198,196,193,192,190,192,195,198,201,200,184,169,157,132,108,95,81,69,54,66,176,214,204,204,203,200,198,196,195,193,192,190,188
19,151,156,160,166,172,176,180,182,186,189,191,194,195,196,196,197,199,198,197,197,196,194,194,194,193,191,192,192,153,159,163,168,173,178,181,184,188,190,192,195,196,197,198,200,200,198,197,197,198,197,197,196,194,194,193,193,154,159,166,171,176,180,183,186,189,191,196,197,196,198,200,200,201,201,200,199,199,199,198,198,198,198,197,194,154,160,168,173,179,182,185,187,190,192,196,197,199,202,202,200,201,201,203,202,202,200,200,199,198,198,199,197,157,162,168,174,179,182,186,189,191,195,197,199,202,200,204,207,202,203,206,205,203,202,202,200,200,199,199,198,157,162,168,175,181,185,189,191,193,197,198,198,209,196,134,183,209,204,207,206,204,204,203,203,202,200,199,198,158,164,170,177,183,187,190,192,195,198,201,197,224,206,106,106,215,205,208,207,205,206,206,204,202,202,201,200,160,165,172,179,184,188,191,195,197,198,203,200,233,216,127,73,197,213,208,206,206,208,208,206,205,204,202,202,161,167,174,181,186,190,191,193,200,204,205,199,225,198,129,61,172,219,208,209,209,210,208,203,202,206,204,202,163,167,175,181,186,188,198,201,158,139,165,179,164,152,134,114,131,157,166,156,152,167,140,180,207,184,207,205,162,168,175,181,189,187,214,193,138,135,142,153,163,156,151,138,127,142,171,151,146,156,141,209,219,136,209,206,164,170,179,185,186,202,215,197,157,98,94,98,135,139,142,121,117,121,133,131,127,124,125,147,144,157,215,205,165,172,179,185,189,217,230,209,149,76,64,77,78,79,84,74,72,90,106,111,111,121,131,150,183,212,208,208,165,173,180,183,212,227,231,186,133,91,71,85,89,81,39,91,188,207,211,210,214,222,220,220,219,210,208,208,166,175,177,203,233,230,235,206,146,86,68,68,97,97,67,59,180,230,217,219,219,217,216,213,214,213,211,210,169,173,185,230,230,232,245,219,145,78,63,55,75,103,90,61,48,210,223,218,220,221,218,217,217,215,214,213,171,171,215,234,232,241,241,215,147,83,63,75,70,63,65,83,43,179,233,219,221,222,220,219,217,216,216,214,164,192,237,232,235,238,233,214,160,92,61,57,88,80,51,36,67,220,225,223,222,223,222,221,219,217,216,215,171,226,234,233,235,231,234,227,182,94,65,48,70,86,76,25,144,241,219,223,223,224,223,221,220,219,217,216,217,239,231,234,228,227,236,216,157,100,76,67,61,55,76,44,195,234,223,224,224,225,224,223,222,219,218,217,241,226,233,226,212,211,208,182,131,113,103,87,78,56,35,75,225,228,225,226,226,226,225,224,223,221,219,218,228,224,221,212,209,204,190,172,145,118,100,98,87,71,31,170,243,225,227,228,227,227,227,226,224,223,221,219,219,214,217,209,207,205,191,169,172,145,94,82,90,80,44,194,240,227,227,228,228,228,227,225,224,223,224,222,212,214,214,199,200,200,181,156,158,126,55,51,88,60,108,240,227,230,229,228,228,228,227,226,224,224,224,222,212,219,200,187,184,179,155,124,104,75,28,45,74,65,204,234,227,227,226,226,226,227,227,226,225,223,222,221,214,212,187,158,154,154,119,83,74,58,52,72,108,193,233,224,227,227,227,227,227,227,227,225,225,224,223,222,198,193,177,140,110,110,92,68,61,180,199,206,229,232,225,228,227,229,230,229,227,226,227,226,225,225,223,222,167,178,172,123,67,42,42,18,128,236,225,228,225,226,228,229,231,231,231,230,230,228,228,226,226,225,224,223
24,161,164,167,171,172,174,176,178,180,180,181,181,181,182,182,183,182,183,184,183,183,184,183,183,182,181,180,180,163,167,171,173,175,177,179,181,181,182,183,183,184,184,185,186,186,186,186,186,186,186,186,186,185,183,183,182,165,168,172,175,178,180,182,183,184,185,185,186,187,187,187,188,187,188,187,187,187,188,188,188,187,186,185,185,167,171,175,178,181,183,184,185,187,187,187,187,188,189,190,190,190,190,189,190,190,190,191,190,189,188,188,186,169,173,176,180,184,185,186,188,188,189,190,191,192,192,192,192,192,193,193,193,193,192,193,192,191,190,189,188,157,145,179,183,185,187,188,190,190,191,192,193,193,193,194,194,195,195,195,195,195,195,195,194,194,192,192,191,147,100,180,185,187,189,191,193,193,193,195,195,195,196,196,196,198,198,197,197,198,197,196,197,197,193,193,193,141,89,177,186,190,191,193,195,195,196,197,190,186,196,198,199,199,199,199,200,199,199,199,193,178,154,159,196,130,79,177,188,191,191,194,193,173,171,194,167,141,149,198,201,199,200,201,201,201,200,192,165,138,105,144,197,121,78,176,190,187,159,159,195,159,132,169,173,152,123,173,201,201,201,202,202,203,200,190,155,105,127,195,200,134,89,167,192,201,169,149,188,170,155,149,186,171,143,136,203,203,203,203,204,202,197,181,131,104,193,201,201,146,107,156,194,207,198,171,157,190,171,142,167,180,148,115,196,204,205,205,204,201,192,158,100,143,203,204,203,169,153,167,191,191,207,188,145,162,186,156,128,174,135,90,186,206,206,202,193,191,170,115,103,195,206,204,203,185,183,178,185,177,170,192,132,106,187,162,105,116,101,78,169,185,185,175,165,162,123,96,183,209,208,206,206,183,193,188,183,184,170,163,122,85,141,133,87,55,85,112,158,180,182,163,139,119,91,160,209,210,208,208,207,187,198,187,185,180,163,149,127,102,84,94,68,61,123,177,192,190,175,147,116,97,124,208,211,210,209,210,208,189,195,188,161,164,156,144,137,123,103,106,109,149,181,196,194,180,159,127,93,90,193,213,212,212,211,211,210,190,194,194,175,151,151,170,157,150,134,131,171,197,199,194,184,166,141,104,82,150,213,215,214,214,212,212,211,191,194,203,201,173,150,152,165,182,185,188,208,205,199,187,171,147,115,85,126,210,215,215,215,214,213,213,213,190,193,198,207,189,165,150,159,176,200,207,207,205,197,177,150,122,91,97,199,216,216,215,215,215,214,214,213,191,195,195,204,206,181,161,161,179,205,212,213,209,188,157,127,99,81,166,214,216,216,215,215,214,214,213,212,192,196,197,207,216,206,179,175,184,211,220,213,198,166,133,103,82,111,210,216,216,216,215,215,214,214,213,213,192,195,198,199,210,218,196,183,186,206,214,203,176,141,110,86,76,180,216,218,219,219,217,217,215,214,207,204,193,195,198,193,188,204,196,187,186,190,191,184,158,121,90,72,111,213,218,218,219,219,217,218,217,208,199,142,183,188,191,194,179,185,189,184,178,165,161,168,147,109,80,68,165,216,218,218,218,219,218,217,204,190,213,184,114,118,119,124,127,163,184,174,161,149,149,157,136,109,84,72,154,180,184,187,190,196,200,199,204,179,178,130,103,104,103,103,104,126,172,150,143,143,157,165,136,116,97,74,96,107,106,107,108,111,120,180,211,183,172,135,103,106,111,110,109,110,158,142,151,160,165,168,139,113,105,79,99,112,114,114,110,112,148,151,196,199,110,157
1,128,130,134,136,138,139,139,141,142,142,143,142,143,146,143,143,143,143,143,144,144,144,144,143,143,143,142,141,131,134,136,139,141,142,143,144,144,145,145,149,139,134,148,144,146,146,146,145,146,146,146,146,145,145,144,144,134,137,139,141,143,144,145,145,147,148,142,158,146,89,153,153,149,149,148,148,149,150,150,150,149,147,146,146,137,139,141,144,146,147,148,149,147,164,147,120,156,79,126,133,153,153,152,152,152,152,152,152,151,151,150,149,138,142,143,147,149,150,150,153,149,171,149,101,157,81,89,96,126,161,153,154,154,154,155,153,152,154,153,151,140,143,147,149,151,152,153,155,152,172,154,103,159,104,93,115,92,165,155,156,156,157,157,155,155,154,154,154,142,146,150,151,152,155,156,159,150,164,172,101,154,128,86,126,82,149,160,159,159,158,159,159,158,157,156,156,146,148,151,154,154,157,156,165,159,109,178,110,132,137,90,138,104,127,168,160,161,162,162,161,160,160,159,157,149,151,154,156,158,160,158,172,162,88,172,120,114,145,103,149,138,103,165,162,163,164,162,162,162,161,160,159,151,154,156,157,160,163,159,172,164,93,167,129,115,162,121,126,158,99,148,171,166,166,164,164,163,162,162,160,152,155,157,158,161,164,161,174,175,101,167,160,112,164,132,107,171,122,122,175,165,167,168,167,166,165,164,162,154,156,159,160,163,165,163,177,176,100,156,171,103,134,136,94,174,145,106,170,170,169,169,168,168,167,166,166,156,158,161,163,166,168,165,176,177,119,122,166,79,114,147,83,155,157,102,154,176,170,171,170,170,170,168,167,158,160,162,166,167,168,167,176,184,134,89,160,129,135,140,145,162,128,104,131,181,171,172,172,171,171,169,168,159,161,164,166,168,170,170,177,185,122,97,144,176,140,127,176,157,115,115,95,175,174,174,173,172,172,171,169,159,162,164,167,169,172,171,177,180,146,157,118,150,143,146,183,137,113,122,87,145,183,175,174,173,173,172,172,159,162,165,167,170,173,172,178,183,165,157,116,119,157,186,178,164,137,104,88,112,185,176,177,175,174,174,173,160,164,167,169,171,174,172,184,185,148,141,119,139,181,182,147,157,176,150,105,84,180,179,178,177,176,176,175,161,164,168,171,172,174,172,186,192,142,124,136,159,143,129,96,143,195,181,150,96,158,185,178,179,179,178,176,161,164,167,169,173,173,173,183,203,157,121,123,111,109,104,151,167,176,178,146,109,118,189,179,181,179,178,177,161,164,166,168,172,173,173,177,201,177,120,129,135,153,181,197,190,175,163,135,89,114,189,178,180,180,179,178,161,164,167,168,172,173,173,176,197,196,136,135,147,155,195,196,193,175,153,130,79,121,190,177,179,180,179,178,162,165,167,170,172,173,175,174,193,207,159,140,157,146,191,205,198,175,145,122,76,134,190,179,182,181,179,178,163,165,167,169,172,173,174,174,186,205,177,148,175,140,179,207,197,169,136,111,75,146,190,181,183,181,179,180,163,165,167,169,171,173,175,176,178,196,188,162,181,146,160,205,187,158,131,104,73,153,190,181,183,181,180,178,163,168,171,173,176,179,179,182,180,188,192,179,172,156,136,195,183,155,124,97,72,165,192,184,182,181,182,182,101,105,109,114,117,120,122,127,123,153,200,186,165,151,126,164,176,143,112,91,82,165,173,176,184,188,183,180,84,82,83,84,84,85,86,88,79,111,194,173,156,142,121,139,159,131,102,89,88,97,131,179,175,172,188,179
10,51,60,74,81,86,92,95,99,102,104,106,110,110,112,113,116,121,121,122,123,124,128,129,130,130,130,133,134,51,62,76,82,87,93,96,98,104,106,107,111,112,113,115,118,100,119,124,125,127,129,129,130,132,132,134,135,54,64,78,83,87,94,97,99,105,108,109,111,114,116,121,135,71,99,130,125,129,131,132,132,134,135,136,135,57,68,80,85,90,94,98,102,105,108,110,112,116,116,128,142,78,78,132,126,130,131,133,134,135,136,138,137,58,68,80,86,91,95,100,104,106,109,111,114,117,116,127,140,91,67,131,127,132,135,134,135,137,138,139,139,58,71,83,88,91,97,101,104,106,109,112,113,119,121,122,141,107,65,126,131,132,136,136,136,139,140,140,141,59,71,84,87,92,99,102,104,108,111,111,125,99,103,126,147,124,67,112,137,132,135,135,136,139,140,140,142,62,74,84,89,95,100,103,106,109,110,112,134,97,50,123,144,129,74,91,141,133,136,136,138,140,141,142,143,64,77,85,89,95,100,104,110,116,114,125,120,93,32,100,142,124,76,77,142,134,137,137,141,141,142,143,143,65,78,87,91,94,108,104,93,89,88,112,136,107,57,70,146,108,75,67,141,136,139,138,141,143,143,144,145,65,78,87,91,92,116,88,48,33,32,35,113,128,76,38,128,86,73,57,138,137,140,141,143,145,145,145,146,68,81,87,93,96,98,75,44,23,41,39,68,132,95,38,102,63,69,50,131,140,141,143,144,145,147,147,147,69,80,86,90,97,102,102,95,84,58,39,49,130,109,49,66,43,62,43,121,145,141,144,145,146,148,148,148,68,81,87,93,98,105,104,134,148,77,16,72,141,117,61,27,38,59,46,106,148,143,145,145,146,147,147,148,71,83,87,94,101,103,102,135,141,83,10,63,160,115,74,24,35,58,47,85,152,143,145,145,147,148,148,148,72,83,88,96,97,116,130,131,150,94,0,71,174,113,81,32,34,54,45,66,152,145,146,146,149,150,150,150,74,85,89,96,93,130,150,125,141,92,3,118,157,115,73,33,23,46,41,50,151,145,147,148,148,151,151,151,75,86,89,96,97,113,148,120,129,87,86,167,129,118,74,35,26,42,30,67,155,143,147,148,150,150,150,151,74,85,90,95,100,104,120,98,109,112,154,163,127,110,81,41,30,38,22,111,152,145,148,149,151,150,150,152,75,85,89,95,100,103,119,94,112,155,171,156,129,101,77,47,32,27,37,142,146,146,149,150,151,152,153,153,78,86,89,94,101,102,132,135,105,144,172,147,123,98,75,47,33,16,69,154,144,147,148,150,151,151,152,152,79,86,90,94,103,99,144,155,105,118,171,146,124,94,76,50,32,15,106,152,144,147,148,151,152,151,152,152,79,85,91,97,104,101,150,159,126,143,163,143,125,95,76,54,29,30,140,144,145,147,150,152,151,152,153,153,78,85,90,97,103,103,160,170,136,148,160,144,127,98,78,57,20,67,154,143,146,149,151,153,152,152,153,154,79,85,91,97,104,102,157,165,144,148,151,149,138,101,77,55,18,107,151,144,147,148,149,151,153,153,154,155,80,84,91,97,103,101,150,156,135,149,146,151,145,106,75,48,30,138,145,145,148,148,150,151,153,154,154,155,80,84,91,98,103,104,138,141,137,148,148,151,142,103,74,35,66,152,143,146,148,150,152,153,153,153,154,155,80,86,92,98,103,106,126,139,148,157,145,146,137,99,69,29,108,151,143,146,149,151,152,153,153,153,154,156
1,179,179,180,179,180,181,181,180,182,181,180,181,180,180,179,177,177,178,176,173,172,171,170,169,168,167,164,162,183,183,183,184,184,184,184,185,185,185,184,184,183,183,182,183,179,168,177,177,176,175,175,171,170,169,166,165,187,187,187,187,187,188,188,188,189,188,187,188,187,186,183,176,191,130,157,192,178,178,177,175,175,171,170,169,191,191,190,190,191,191,191,191,191,191,191,191,190,189,195,137,172,138,121,166,183,181,179,177,177,175,173,172,195,193,193,193,194,195,195,194,194,195,195,195,193,194,197,123,167,132,79,106,163,189,182,181,179,178,176,173,196,196,197,196,196,197,197,198,197,197,198,198,198,201,185,114,177,113,105,130,134,196,182,183,183,181,178,177,198,200,199,199,199,199,201,201,199,198,200,195,167,200,173,119,192,115,126,142,119,198,185,186,185,184,181,178,203,203,203,203,204,203,204,204,203,202,202,196,127,180,172,134,187,103,137,150,121,199,189,190,187,185,185,182,205,205,204,206,207,205,205,205,205,204,205,192,119,183,144,153,173,99,163,157,122,200,191,192,190,188,187,185,208,207,208,207,207,207,207,206,207,206,211,179,119,188,130,169,173,114,185,145,121,203,193,194,192,190,190,187,210,210,210,210,211,211,210,211,210,209,212,169,115,199,133,171,178,113,181,142,126,207,195,195,195,193,191,189,211,211,212,212,211,213,213,212,211,212,214,149,117,204,120,157,164,98,184,151,136,209,198,198,197,196,193,191,214,213,213,213,213,213,214,214,214,213,215,148,119,191,98,154,149,98,193,142,134,212,201,199,199,197,196,193,215,215,215,215,215,216,216,216,215,217,209,134,126,175,140,170,170,126,146,128,138,214,203,203,200,198,196,195,217,217,218,217,217,217,218,217,217,217,194,162,166,141,153,156,157,153,132,116,115,208,205,205,204,202,199,197,218,218,219,219,218,218,219,219,218,215,202,174,140,124,130,150,164,141,133,149,106,185,214,205,206,203,200,199,219,219,220,220,220,219,220,220,219,219,198,150,117,124,130,164,169,146,184,183,117,155,221,205,206,204,202,200,220,220,221,221,221,220,222,223,220,213,195,146,113,135,141,172,181,193,156,183,154,131,218,208,208,206,205,203,220,221,222,223,223,223,223,224,221,207,202,160,110,124,158,179,188,202,171,166,153,104,206,212,210,208,206,205,223,223,223,224,224,224,224,225,220,203,207,172,125,114,158,183,190,189,172,154,115,87,208,213,211,209,207,205,225,225,225,225,225,225,225,227,222,198,205,176,138,113,149,199,204,200,166,138,94,119,225,212,213,211,209,207,225,225,226,226,226,226,226,228,225,196,190,175,145,124,161,211,202,190,153,124,79,180,225,212,213,212,210,208,224,225,226,226,226,227,226,227,228,203,191,176,154,136,173,206,193,171,138,101,99,222,217,216,213,213,212,209,223,224,225,225,225,226,226,226,230,210,187,184,168,140,173,196,181,151,121,75,152,230,215,216,213,213,212,210,223,224,225,225,225,226,227,226,229,217,188,188,171,146,161,172,152,126,87,84,214,219,217,215,213,211,210,207,225,225,226,226,226,227,227,226,230,216,194,188,169,149,152,155,128,97,67,182,226,217,218,216,213,212,209,207,224,225,226,227,226,226,226,227,230,204,199,188,181,164,144,137,106,68,171,234,218,220,218,217,215,215,217,207,224,225,225,227,226,226,228,229,222,191,205,193,189,161,139,115,74,110,233,220,222,220,218,217,216,201,172,120
24,184,187,190,194,195,197,199,202,203,203,204,204,205,206,206,206,206,206,207,207,207,207,206,206,205,204,204,203,186,189,194,196,198,200,203,204,205,206,206,206,207,208,208,209,210,210,210,210,210,210,210,210,208,206,206,205,188,191,195,198,202,204,206,206,208,209,209,209,211,211,211,211,211,211,210,210,211,212,212,212,211,210,209,208,189,193,198,202,205,207,208,209,211,211,211,211,212,212,214,214,214,214,213,214,214,214,215,214,213,212,212,210,194,199,199,204,207,209,210,212,212,213,214,215,216,216,217,216,216,217,217,218,217,216,217,216,214,214,213,211,176,164,208,205,209,211,212,214,214,215,216,217,217,217,218,218,218,220,219,219,219,219,219,218,217,215,215,215,166,113,208,209,211,212,215,217,216,216,219,220,221,219,220,220,222,223,220,221,222,221,220,223,223,221,223,217,165,105,201,211,213,215,216,219,222,225,222,214,210,227,222,223,224,223,223,224,223,224,224,218,205,174,177,226,152,91,203,215,215,217,223,218,194,192,223,190,153,168,230,224,223,225,225,225,225,225,217,187,162,106,158,231,141,89,202,218,211,175,179,224,178,139,194,201,174,131,195,233,224,225,226,226,227,225,216,181,114,140,230,224,158,98,189,223,226,189,163,215,196,173,171,214,197,160,153,236,226,228,227,229,226,223,210,149,114,228,228,224,169,117,177,223,234,230,190,178,222,198,155,188,214,170,129,221,231,229,230,230,225,220,188,102,161,240,226,227,192,176,188,216,214,236,220,157,186,220,172,145,209,158,101,213,240,232,227,218,218,200,127,111,228,231,228,228,212,209,198,213,199,189,227,148,116,223,193,118,137,126,82,187,213,208,198,187,190,141,98,213,240,231,230,230,205,218,212,209,207,189,186,142,92,165,164,101,61,100,129,177,202,206,187,159,139,95,183,246,232,233,233,232,209,224,212,210,206,185,172,150,117,96,114,79,64,141,210,223,218,201,169,138,106,140,247,234,234,234,235,233,212,222,212,177,187,181,166,158,138,122,124,122,176,210,222,219,203,184,148,109,98,224,242,236,237,236,235,234,214,218,220,197,167,170,197,180,173,154,146,199,229,225,219,209,191,164,126,83,172,249,237,240,239,238,237,236,216,217,230,231,197,168,172,190,211,210,212,237,229,223,212,195,170,138,91,143,250,238,240,240,239,238,238,238,214,216,223,234,214,186,168,180,197,227,235,231,230,223,201,173,143,104,107,235,244,240,240,240,241,240,239,238,214,221,218,228,234,203,181,181,202,230,236,238,237,214,179,148,119,86,191,249,238,241,240,240,239,239,238,235,215,221,221,232,246,233,201,197,206,237,248,240,225,189,154,124,92,126,247,240,241,241,240,240,239,238,238,241,215,219,222,222,236,247,221,205,209,233,243,229,200,162,130,105,82,207,249,242,244,244,243,242,239,242,234,228,218,219,225,214,209,232,221,210,210,214,216,210,180,141,109,79,127,250,239,242,243,243,241,242,246,231,223,156,210,216,220,225,205,208,214,208,202,186,182,191,170,128,98,76,196,255,248,249,249,249,247,248,225,216,242,207,131,137,137,144,143,186,213,199,185,167,168,181,158,128,101,86,179,207,209,212,215,223,228,220,225,207,204,147,120,120,119,120,114,146,203,167,162,163,179,191,156,137,118,89,109,120,118,120,121,124,129,206,242,200,195,149,124,127,133,132,129,127,181,162,171,185,189,194,161,132,128,94,118,136,135,135,130,130,171,173,222,232,122,181
7,128,133,139,143,146,148,149,149,149,151,152,153,153,152,152,152,151,151,150,150,149,147,152,128,154,170,164,171,135,140,145,148,151,153,154,155,156,157,158,157,157,156,154,153,152,152,151,150,149,148,147,147,162,103,176,170,143,147,151,155,158,159,160,162,162,163,163,162,160,160,158,159,159,156,155,154,152,152,148,153,141,113,182,171,150,154,158,163,165,165,168,168,168,168,168,168,167,166,165,164,162,162,160,158,157,155,154,150,159,182,163,170,156,161,166,169,171,174,174,174,175,174,174,174,173,172,171,170,168,167,166,163,163,160,156,155,157,138,110,172,161,168,173,175,177,180,180,180,180,179,180,181,179,179,178,177,176,174,173,170,169,166,162,160,160,147,139,175,167,173,178,181,183,186,186,186,186,185,187,186,186,185,183,181,182,180,179,177,175,171,168,165,163,159,160,177,172,178,184,186,189,190,191,191,190,190,190,190,190,188,188,186,186,186,183,181,179,177,174,172,169,166,169,188,179,183,188,191,195,196,198,202,205,201,200,200,199,198,198,198,196,192,189,185,183,181,179,177,174,170,170,192,185,189,194,198,202,200,191,166,145,163,171,176,176,172,168,165,177,186,193,195,195,190,185,180,179,171,174,194,188,194,200,200,198,194,182,135,69,92,130,149,139,139,137,126,114,124,134,132,154,166,182,189,181,186,184,194,194,199,196,193,192,186,176,135,97,98,105,122,120,125,128,117,90,107,113,105,118,122,158,156,194,141,144,201,192,191,191,199,197,191,178,130,84,100,105,115,109,112,123,112,91,85,91,103,111,118,150,126,169,16,93,221,197,199,199,205,202,193,169,126,62,74,97,120,131,122,127,109,107,98,109,123,100,103,105,124,134,42,35,135,205,200,199,206,197,187,168,106,67,86,92,105,103,105,106,106,99,88,103,120,107,108,108,133,153,117,33,15,203,204,201,202,204,194,191,136,57,55,50,36,80,104,90,85,84,93,101,109,99,95,92,91,114,83,34,21,208,201,197,205,194,183,202,149,54,43,50,34,72,152,215,211,219,216,186,110,34,37,36,32,33,25,23,24,198,190,188,191,173,175,176,122,64,53,58,58,43,25,178,199,120,82,35,8,7,0,0,18,14,17,23,21,191,190,182,175,167,165,164,120,58,41,59,73,68,48,35,14,0,2,21,19,6,10,4,4,9,6,19,22,183,178,170,166,165,166,180,137,52,18,1,46,58,42,39,19,10,0,14,27,7,0,8,6,4,13,7,0,167,161,168,167,166,164,162,130,53,26,14,21,51,63,68,21,7,8,0,16,22,0,0,0,4,21,0,0,155,147,147,142,136,134,115,82,56,42,33,17,0,16,25,0,0,20,0,0,13,20,0,0,0,0,0,0,143,125,105,97,92,89,86,61,49,31,0,28,0,0,3,7,0,5,13,0,0,11,13,0,0,0,0,0,124,116,89,83,71,96,103,30,0,14,0,13,10,0,0,14,0,0,12,7,0,0,10,2,0,0,0,0,86,90,96,110,158,192,48,24,0,5,0,0,20,0,0,6,11,0,0,11,0,0,0,5,0,0,0,0,77,209,218,237,241,86,8,32,11,0,0,0,7,0,0,0,14,0,0,0,3,0,0,0,0,0,0,0,16,155,141,156,103,11,24,6,0,0,0,0,0,12,0,0,7,3,0,0,0,0,0,0,0,0,0,0,0,94,91,72,36,15,10,7,0,0,0,0,0,12,0,0,0,9,0,0,0,0,0,0,0,0,0,0
20,163,165,167,168,171,174,176,177,178,180,181,182,184,183,185,187,187,187,187,188,189,189,189,188,189,188,189,189,165,167,168,170,173,175,176,179,180,180,181,184,185,185,188,174,179,191,190,189,190,190,191,190,190,191,191,190,165,168,170,172,175,176,178,180,180,181,183,185,187,185,201,157,146,170,171,194,192,193,193,192,191,192,192,192,166,170,172,173,175,177,180,181,182,183,186,187,187,187,209,162,169,173,133,192,194,193,193,192,192,193,193,191,167,170,172,174,176,178,180,181,182,184,187,188,187,189,205,161,182,187,129,186,196,193,194,194,194,195,194,193,168,171,173,175,178,180,181,182,184,186,187,188,186,194,216,172,184,190,135,185,199,196,196,196,196,195,195,195,169,172,173,175,178,179,182,184,186,186,188,190,186,202,215,170,198,193,140,181,200,196,197,197,196,197,196,196,169,172,174,177,179,180,183,185,187,188,180,183,192,203,195,165,201,188,136,176,203,197,198,197,196,197,197,195,170,172,175,177,180,183,184,185,187,192,180,139,171,214,186,158,206,178,131,179,205,199,199,198,198,198,197,196,171,173,176,179,180,184,186,185,186,198,181,151,127,186,177,158,206,176,134,189,202,200,201,199,199,198,197,197,172,173,176,179,181,183,184,191,174,175,189,179,169,139,136,145,184,170,134,192,202,200,201,199,200,200,199,198,172,174,177,180,181,181,192,211,170,144,193,199,191,156,115,114,158,159,131,195,203,200,201,201,201,200,200,200,173,175,177,180,182,182,196,184,192,167,139,168,198,182,139,116,139,137,127,199,202,202,203,202,202,200,200,201,173,175,179,182,184,181,201,177,154,149,100,102,189,204,169,122,122,129,122,197,203,203,204,203,203,202,202,201,174,175,178,182,184,183,199,173,149,145,119,116,162,217,188,141,115,123,121,198,204,203,204,202,202,202,202,201,174,175,178,182,183,184,204,200,175,153,129,139,149,217,204,164,124,112,115,198,205,203,203,202,201,202,201,200,174,176,179,183,185,184,214,192,160,145,138,151,164,217,204,175,135,106,111,197,206,204,204,203,202,202,202,201,175,178,179,183,186,186,212,188,162,154,156,154,206,229,191,172,140,105,111,200,207,205,205,204,203,202,202,202,176,177,180,184,185,188,218,194,171,164,163,166,230,226,193,167,145,108,116,204,205,205,205,204,203,204,204,202,177,178,181,185,186,187,219,200,180,159,173,190,229,214,197,167,144,109,124,210,204,205,205,205,203,203,204,204,176,179,181,184,187,187,220,206,184,170,171,201,225,201,193,162,142,106,137,212,203,205,205,204,204,205,204,203,176,178,181,185,188,186,218,208,188,191,172,205,221,200,189,165,137,105,147,213,203,205,205,205,204,205,205,204,176,179,182,185,188,186,208,214,199,204,186,193,213,194,185,166,135,103,146,214,204,206,206,206,205,206,205,204,176,179,182,186,187,188,196,215,206,207,196,187,201,190,183,165,134,105,151,214,204,207,206,206,206,206,205,205,175,179,182,186,187,189,190,211,209,198,185,188,193,185,183,177,135,106,166,213,204,206,206,206,206,206,206,205,175,178,182,186,187,190,189,210,201,188,176,179,190,182,182,177,137,110,186,211,206,207,207,206,206,206,206,205,175,179,183,185,187,189,190,209,194,185,177,175,190,185,178,174,128,122,206,207,207,208,207,207,207,207,206,206,175,179,183,185,188,190,191,212,208,199,183,179,194,178,170,168,116,144,215,206,208,208,208,207,207,207,207,207
7,166,165,165,166,165,165,164,163,162,160,160,160,158,157,156,156,155,154,152,151,149,148,147,146,145,143,142,140,168,167,167,167,165,165,165,164,164,162,162,161,159,159,159,158,157,155,154,152,151,150,150,148,147,144,143,142,170,170,168,168,167,166,166,166,165,165,164,163,162,162,161,159,159,157,156,155,154,152,151,149,149,147,145,144,172,171,171,171,170,169,169,168,167,166,166,165,165,164,163,161,160,159,158,157,156,154,152,151,150,149,147,145,173,173,172,172,172,171,171,170,169,168,167,166,166,166,165,163,162,160,159,158,157,156,155,154,152,151,149,148,175,175,174,174,173,173,172,171,171,170,169,168,167,167,167,165,165,164,161,160,159,158,157,155,152,152,150,149,177,177,175,175,175,174,174,174,172,172,171,170,169,168,168,167,166,165,164,162,160,159,158,157,155,153,152,150,179,179,177,177,177,176,176,175,172,169,173,173,172,171,171,170,168,167,166,164,163,161,160,158,158,155,153,152,180,180,179,178,178,178,176,181,165,145,158,147,155,164,170,171,171,169,167,166,165,163,161,159,159,158,155,154,180,180,181,180,179,178,180,193,176,178,165,111,96,108,126,138,150,164,169,168,166,165,163,162,161,160,157,155,182,182,182,182,182,180,187,191,188,194,167,123,106,93,89,97,101,110,131,152,160,163,163,163,162,160,158,157,183,183,183,183,182,182,191,188,193,189,170,161,157,121,86,82,86,88,89,92,104,116,133,151,165,162,160,159,185,185,184,185,182,186,194,195,196,186,178,180,168,141,110,87,84,83,78,82,84,86,89,116,157,161,161,160,186,186,186,186,185,191,194,197,194,184,181,178,165,156,140,111,84,82,78,78,85,85,83,83,102,125,157,161,186,185,186,185,187,195,199,193,186,180,174,169,169,168,151,121,90,81,83,84,96,91,84,80,80,96,150,163,188,187,187,185,189,197,200,193,184,177,164,165,172,168,149,119,95,85,78,101,155,150,136,127,125,139,161,163,189,188,188,182,192,198,197,186,180,175,166,166,169,154,134,111,93,89,85,99,168,174,172,170,169,168,165,164,190,189,188,182,198,202,194,178,177,176,168,163,153,131,121,108,92,93,96,98,157,175,172,172,171,169,167,165,191,190,184,183,202,199,189,178,175,170,162,155,134,123,119,106,95,91,97,125,169,175,173,172,170,168,167,166,192,191,178,189,202,194,184,182,172,165,157,142,129,127,115,102,83,82,122,165,177,176,175,173,171,169,168,166,192,188,175,195,197,187,181,178,164,159,149,137,133,124,107,104,107,145,174,179,177,177,176,174,171,169,167,166,192,178,180,197,192,184,180,171,162,153,143,137,129,114,103,143,176,182,182,180,179,178,176,174,172,170,168,166,189,171,188,192,188,182,174,168,156,144,140,130,117,104,123,177,185,183,183,181,181,179,177,175,173,171,170,168,180,177,188,187,186,182,164,153,140,135,131,118,108,118,168,187,185,184,183,182,181,179,179,177,174,172,170,168,173,184,186,185,184,169,147,135,126,121,114,106,125,170,188,187,185,185,184,181,180,180,179,177,175,173,171,169,172,185,190,190,167,149,135,121,111,104,99,117,174,189,188,187,187,185,184,182,181,181,179,177,175,173,171,170,175,179,190,179,149,147,127,108,99,97,110,161,191,190,189,188,187,185,184,184,182,181,179,178,176,174,172,170,175,176,181,168,149,151,126,101,93,105,166,190,192,190,189,188,187,186,185,185,183,181,180,178,177,174,173,171
6,149,150,151,151,152,152,151,151,151,150,151,149,148,147,146,146,145,143,142,140,140,141,140,138,136,136,88,104,150,152,152,152,153,152,151,153,152,152,151,150,150,149,149,147,146,145,144,143,142,142,142,140,139,136,131,90,153,153,155,154,155,155,153,153,154,153,152,151,151,152,150,150,147,145,146,145,145,144,142,141,141,137,137,122,153,155,156,156,156,157,156,155,156,156,154,152,152,152,151,150,149,148,148,148,148,144,143,142,141,139,136,129,155,156,158,158,158,158,157,157,157,156,155,154,153,153,153,152,151,151,149,149,148,146,144,144,142,141,137,134,157,157,158,159,160,158,159,159,158,158,158,157,156,154,154,155,153,151,150,150,149,148,146,144,144,142,141,137,157,158,158,160,161,161,161,162,159,159,158,159,158,157,157,155,153,149,149,148,148,146,142,142,137,139,139,140,158,159,160,162,163,163,162,162,164,163,159,157,153,147,145,142,141,120,121,134,135,122,130,127,135,173,123,132,159,161,163,164,163,163,162,161,154,143,145,146,141,142,145,146,136,132,121,141,145,129,132,134,126,155,105,127,160,163,164,165,164,163,163,169,146,126,134,146,148,153,155,154,139,119,120,114,115,104,93,95,86,90,115,144,161,162,164,165,165,162,173,180,153,138,129,128,132,127,123,115,107,98,73,69,61,67,106,111,128,141,148,144,162,163,164,165,167,164,181,182,165,152,136,122,117,109,103,93,80,62,37,24,22,123,164,155,154,150,146,144,163,164,165,167,166,170,188,184,177,148,115,109,113,121,119,113,103,96,93,57,93,165,151,151,150,149,147,146,164,166,166,169,165,180,193,188,173,121,93,101,105,116,121,120,111,100,101,71,105,166,153,154,152,151,149,147,166,167,168,169,164,189,189,186,148,98,107,104,95,97,114,106,96,96,89,48,111,166,155,155,152,151,150,149,165,167,169,166,170,192,186,185,157,137,123,108,86,86,118,110,103,107,90,60,152,161,157,156,155,152,151,150,166,169,170,165,184,188,187,189,187,174,136,105,111,120,120,113,100,89,87,70,126,166,157,157,155,152,151,149,168,170,166,171,190,188,190,186,184,180,130,95,101,106,106,104,89,80,80,50,119,167,157,159,156,154,151,149,168,170,162,178,188,191,187,180,179,161,122,99,94,86,89,96,93,87,68,65,153,163,158,158,157,153,153,156,168,160,163,184,187,189,181,173,168,163,146,129,98,62,70,92,89,88,60,97,169,157,159,157,153,153,152,130,168,149,175,185,188,183,179,179,173,166,171,160,112,80,94,113,102,83,73,61,150,163,156,156,157,164,93,20,157,156,183,186,185,182,184,181,168,172,176,147,97,77,86,87,78,67,57,53,149,163,162,166,139,79,19,8,153,173,179,183,180,176,171,167,164,172,161,123,87,81,80,69,60,56,50,118,173,164,137,81,33,9,9,5,167,175,180,176,169,163,156,157,156,143,124,98,82,72,52,86,103,122,146,153,113,67,22,6,7,7,8,7,174,173,176,170,156,152,150,146,145,125,101,90,89,81,94,146,126,103,74,38,11,0,0,5,5,0,2,0,171,173,165,154,144,134,144,143,132,120,109,96,75,48,49,26,8,0,0,7,0,0,0,0,0,0,0,0,170,168,162,151,139,128,129,124,111,103,87,62,32,11,0,0,0,0,4,5,0,0,0,0,0,0,0,0,173,164,157,142,121,115,109,94,79,67,47,23,2,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0
12,166,170,174,178,180,182,185,187,190,191,192,192,193,195,194,192,191,195,197,190,192,190,190,191,190,189,188,186,167,171,175,178,180,184,187,189,191,192,193,194,194,186,184,199,195,167,169,198,193,194,194,191,192,191,190,189,168,171,175,179,182,185,188,191,191,194,196,193,207,191,156,168,209,187,135,157,183,154,176,197,193,192,191,191,169,173,176,181,183,186,190,191,193,196,195,196,227,224,197,145,153,220,185,115,128,158,121,186,197,194,194,191,171,175,178,181,185,189,191,192,194,197,192,218,210,213,211,162,100,176,188,124,83,145,124,125,203,194,194,194,174,176,179,183,186,190,192,195,197,197,193,228,179,198,211,149,96,163,173,120,84,120,128,89,192,198,195,195,175,178,182,185,189,192,194,198,196,199,202,158,133,201,189,135,88,170,165,110,89,129,115,94,197,197,197,195,176,180,183,187,190,194,197,195,206,226,205,136,95,145,180,154,78,156,196,130,92,155,121,111,207,195,196,196,179,182,186,189,192,196,195,211,226,218,208,155,96,101,190,150,67,163,207,121,100,193,123,144,210,197,198,197,180,184,188,191,196,195,209,227,185,187,218,162,97,59,146,134,42,98,192,109,89,168,123,188,206,201,200,200,183,187,190,193,198,198,224,219,187,165,200,152,101,57,72,75,71,101,115,130,135,144,94,173,211,200,201,201,185,189,192,196,197,207,214,186,160,125,181,152,104,62,70,76,162,209,170,167,147,135,113,122,213,202,202,202,185,191,194,199,200,203,221,193,168,112,156,153,102,68,82,130,189,201,190,164,136,107,124,102,197,208,203,203,188,193,196,200,200,205,224,198,172,129,131,155,127,75,109,177,199,194,187,167,134,107,103,101,204,208,205,204,191,195,198,203,202,215,228,206,182,153,113,145,145,87,176,207,203,197,193,151,127,106,74,141,219,205,204,202,195,198,202,205,205,222,229,213,191,161,131,123,121,150,212,210,210,208,181,133,120,96,81,199,211,211,215,214,196,200,203,206,206,225,226,217,198,168,156,139,136,184,198,205,215,202,160,125,117,74,134,232,214,197,165,133,199,203,205,208,209,220,222,222,203,177,171,152,146,178,183,208,213,187,144,118,106,75,171,158,111,77,59,56,202,206,208,210,212,212,225,223,206,187,181,163,149,186,179,212,205,166,130,109,95,73,70,52,49,51,53,50,204,209,210,213,217,210,222,217,204,191,187,170,153,185,196,191,182,146,117,101,85,53,49,49,51,48,52,44,207,211,214,216,220,213,216,218,205,192,182,172,162,173,194,173,154,130,108,99,61,36,55,52,39,42,55,49,208,211,214,217,221,212,211,223,205,190,179,167,154,159,179,163,140,121,102,88,50,28,44,59,42,33,46,55,209,212,215,217,223,211,214,220,198,183,176,165,148,158,171,153,123,112,96,67,62,31,29,50,55,35,36,50,211,214,218,220,225,212,217,215,181,170,172,158,145,161,159,141,108,101,57,43,63,47,18,36,53,47,30,38,212,216,219,222,226,210,217,223,180,178,180,166,156,163,145,126,104,80,38,30,52,59,21,22,42,53,40,28,214,217,220,221,230,192,212,225,189,196,194,172,154,158,137,120,97,59,48,26,39,57,36,14,30,49,50,31,219,222,225,224,242,138,191,231,206,218,198,164,156,156,131,114,87,49,46,32,24,48,46,15,20,41,50,41,190,194,200,203,216,103,123,223,207,213,184,153,160,155,126,111,73,56,42,34,17,42,49,20,13,33,48,47
18,131,133,135,137,139,142,144,145,146,147,149,151,151,151,151,152,151,152,152,153,154,155,156,156,156,157,155,156,133,135,138,139,142,145,146,147,150,151,153,153,153,153,154,155,153,154,155,156,158,157,159,158,158,159,159,159,135,137,140,142,144,146,148,151,153,153,154,156,156,156,157,157,157,158,158,159,159,159,160,160,161,161,160,159,138,140,142,144,146,148,151,152,154,157,157,158,159,159,159,159,159,159,160,159,160,162,162,160,161,163,163,163,140,141,144,146,149,150,153,155,157,158,159,160,160,161,163,162,160,162,164,167,165,163,168,166,167,165,165,166,141,142,145,149,151,152,154,158,160,160,161,162,163,164,164,165,164,166,150,145,162,168,144,122,141,168,168,168,144,144,148,151,152,154,157,159,160,161,162,164,165,165,166,165,166,168,134,123,151,172,135,82,91,131,178,166,146,147,150,152,154,156,159,161,162,164,165,166,167,168,165,168,167,156,152,152,170,157,156,109,74,80,169,172,147,150,152,154,157,159,161,165,166,166,167,168,168,169,172,146,149,140,153,155,150,128,175,130,82,50,142,183,149,151,154,157,159,161,164,166,167,168,169,169,164,186,182,128,104,117,135,130,91,135,194,140,100,51,127,186,151,152,155,158,160,163,165,167,168,169,168,179,127,134,172,132,105,94,131,89,58,177,192,150,117,57,124,187,152,154,157,158,161,165,167,169,170,166,185,196,121,82,166,152,133,98,174,112,63,188,197,170,134,65,130,191,152,155,158,160,163,167,169,171,170,181,183,189,144,98,140,172,139,92,143,144,93,162,204,182,136,78,91,191,154,157,160,162,165,168,170,170,177,186,144,186,168,122,108,170,140,108,64,121,179,187,180,157,127,97,59,163,155,158,161,163,166,169,172,170,188,193,144,175,177,135,92,144,150,110,131,177,183,186,155,141,126,110,60,142,157,159,163,165,168,171,173,178,188,168,129,144,157,121,74,109,124,141,198,184,169,164,144,131,126,101,67,166,158,161,165,167,170,172,173,177,197,171,129,125,113,85,57,51,120,199,193,179,160,149,139,114,108,72,97,193,160,164,166,168,171,174,175,176,195,176,151,127,75,69,39,59,193,194,182,171,159,148,119,98,84,57,152,193,163,165,167,170,172,176,176,178,197,183,167,135,95,126,85,155,204,190,183,166,154,138,103,85,67,81,191,187,162,165,169,171,173,177,176,183,197,194,160,127,157,146,137,207,193,192,175,157,145,118,89,78,59,119,198,187,164,167,170,172,174,177,176,189,195,197,150,146,168,131,175,212,200,183,166,152,134,100,77,74,62,171,194,188,165,169,171,173,177,179,177,188,200,193,154,156,166,122,201,202,202,175,154,136,114,85,74,57,113,197,188,190,166,169,171,174,177,179,181,179,191,195,161,168,155,132,210,203,188,164,146,123,93,75,69,66,180,195,190,192,168,170,173,176,178,180,184,180,181,187,170,176,152,164,191,192,171,148,133,111,85,78,53,120,203,189,192,192,168,171,175,177,178,181,185,183,174,183,172,182,166,162,169,173,159,142,122,101,84,69,71,185,195,194,193,192,169,173,176,178,180,182,184,185,173,188,182,174,161,142,158,171,161,133,110,93,81,55,139,202,193,195,195,195,170,174,175,178,181,183,185,187,172,178,159,150,144,134,157,163,155,128,97,85,63,82,192,194,195,196,196,197,170,173,176,179,182,184,186,188,179,167,143,150,147,163,167,164,148,122,96,82,55,129,202,194,196,197,197,197
7,185,186,187,187,186,186,186,185,185,186,186,186,187,186,185,184,184,184,172,72,52,79,97,99,123,149,163,187,187,189,191,190,190,189,189,189,190,189,190,188,188,188,187,187,186,191,149,61,72,98,91,94,121,144,168,188,192,193,193,192,193,193,194,194,195,194,194,194,193,192,190,190,187,195,121,57,78,88,93,87,115,151,175,191,195,195,196,195,196,196,196,195,197,196,195,192,190,193,189,187,183,189,157,124,142,90,83,105,124,163,182,183,199,199,200,199,199,199,198,199,200,199,201,190,174,190,198,189,173,176,165,186,224,130,76,105,135,178,184,175,202,202,202,203,205,204,201,203,211,217,212,196,182,192,191,187,176,170,165,159,196,135,95,120,156,189,185,173,206,207,206,205,205,206,214,223,227,223,214,198,197,192,158,167,189,180,180,168,166,148,147,189,173,191,194,179,210,209,211,210,203,211,220,220,216,210,208,209,201,189,166,174,194,181,179,173,148,142,128,161,155,188,200,195,212,210,231,227,215,213,215,212,213,213,210,210,202,180,175,166,152,137,130,128,115,111,119,120,127,186,199,204,212,217,242,228,208,204,212,215,214,211,204,194,181,162,148,136,133,137,151,149,126,191,185,161,129,186,195,206,216,223,239,224,193,189,201,203,201,184,158,141,118,112,148,198,209,208,221,192,155,233,162,195,141,179,193,200,217,228,234,213,185,190,192,173,151,126,136,167,132,133,142,120,204,216,213,206,188,146,138,221,143,162,191,188,218,231,230,212,213,208,192,178,169,178,183,179,171,166,178,105,136,228,211,214,211,152,198,228,150,136,188,181,223,233,233,236,243,218,181,184,190,188,180,167,163,162,155,104,131,229,215,215,211,206,190,210,180,128,178,184,226,234,236,244,242,212,172,172,169,161,161,156,149,142,122,113,213,222,218,217,214,213,224,210,196,177,181,186,228,235,239,241,224,199,184,173,147,125,132,148,143,140,124,134,229,221,220,219,220,217,192,152,158,188,184,186,235,239,238,231,213,204,205,209,175,147,161,177,169,151,148,133,187,232,222,220,221,227,189,147,172,181,181,188,240,243,235,223,213,203,217,216,174,147,156,159,149,136,136,111,185,233,222,223,224,225,217,177,195,174,180,187,239,240,233,223,213,214,230,208,169,147,149,146,142,135,115,131,225,227,227,226,223,222,223,195,186,178,170,182,236,239,231,219,219,225,218,190,157,138,127,121,110,95,115,208,234,227,227,226,224,225,226,206,189,185,167,172,233,233,224,217,219,208,190,170,154,144,118,94,108,152,212,238,229,229,227,226,226,226,228,213,190,196,175,155,226,225,219,215,215,199,182,174,161,142,150,201,222,241,237,233,231,230,229,230,229,227,230,215,188,201,194,169,221,219,218,212,209,199,189,176,140,116,222,247,236,234,232,232,233,232,231,232,230,227,229,214,185,197,196,184,219,210,212,211,195,186,176,145,101,177,249,236,237,237,236,235,234,233,232,232,231,230,229,214,186,194,193,187,216,204,198,192,179,166,146,109,136,242,240,239,240,241,239,238,235,233,234,234,232,231,233,216,188,194,190,181,207,196,188,171,153,135,107,115,224,243,240,241,240,240,238,237,237,236,235,235,233,231,234,211,190,194,189,181,187,177,167,147,123,104,121,215,247,240,241,242,242,241,240,240,238,236,234,235,234,233,230,200,193,194,188,178,170,157,149,136,112,147,226,247,241,242,242,242,242,242,241,241,240,239,237,237,235,237,217,193,198,198,192,182
15,87,86,88,88,92,93,94,97,99,108,119,128,136,141,146,151,153,156,159,162,165,169,171,173,174,177,179,180,87,87,88,87,90,91,91,95,99,109,119,128,136,142,147,151,153,156,159,162,165,169,172,173,175,178,180,181,88,87,87,88,89,94,108,99,98,109,120,129,138,143,148,153,154,156,160,164,166,170,173,174,177,180,183,183,88,87,87,88,83,126,172,143,117,112,118,129,138,146,150,155,156,157,159,164,167,171,174,176,178,180,182,182,89,87,86,88,84,128,178,170,156,146,134,135,131,140,148,153,156,157,161,165,168,171,174,177,179,180,182,183,88,88,88,89,89,97,138,143,140,152,152,152,144,137,134,138,142,147,154,161,168,173,176,178,179,181,183,185,87,88,87,88,91,91,98,109,112,126,135,141,155,152,145,142,140,143,143,137,138,145,158,179,181,183,184,186,87,88,87,88,90,92,93,96,102,111,116,115,137,144,142,137,140,153,160,149,129,115,103,147,182,183,185,187,88,88,88,89,91,94,95,96,100,111,120,123,130,134,132,127,126,154,163,163,144,131,104,96,161,185,185,188,87,88,88,89,90,93,94,95,100,111,121,130,138,142,141,136,139,165,164,164,155,148,128,107,109,171,187,188,87,88,88,88,90,91,94,96,101,110,120,131,138,146,152,151,173,174,155,158,170,158,150,130,100,112,177,189,88,88,89,89,91,91,94,96,100,112,137,138,140,140,146,168,178,164,131,158,169,159,170,145,112,88,122,186,88,88,89,89,91,91,94,96,97,134,167,155,159,154,138,146,146,119,104,149,151,156,178,152,119,95,85,138,88,88,88,88,89,91,93,95,98,130,152,161,180,178,146,123,128,108,86,137,135,158,172,152,125,102,86,86,87,86,86,87,89,91,92,95,99,112,129,146,173,171,142,138,144,135,126,131,134,142,148,141,122,101,87,83,86,86,86,86,87,90,91,93,99,111,123,136,147,139,134,149,150,145,149,151,138,111,106,117,109,97,87,82,85,84,84,86,87,87,89,91,98,112,122,128,140,147,124,135,146,153,159,160,139,103,89,96,96,93,92,85,83,83,83,85,86,86,88,90,98,111,121,129,150,194,131,91,93,134,149,153,132,100,90,93,93,94,96,91,82,82,83,83,84,86,88,90,98,111,120,128,149,190,133,79,51,76,124,139,118,99,96,95,94,95,98,95,82,82,83,83,83,85,87,88,98,111,120,127,145,180,125,73,81,62,85,121,103,94,95,99,100,98,97,95,82,82,82,82,83,85,86,88,96,110,120,127,144,179,117,85,100,82,96,117,126,111,109,107,104,101,97,93,80,80,80,80,81,83,85,86,95,107,117,128,141,182,106,97,126,104,132,111,133,120,112,106,100,97,95,91,78,78,78,78,79,81,83,84,93,106,116,126,146,185,93,107,167,87,152,146,120,98,98,93,92,92,92,91,83,82,83,83,82,82,85,86,93,105,116,125,141,150,87,122,170,86,144,167,129,122,122,79,75,78,77,79,128,126,124,122,119,119,121,122,124,124,127,129,136,122,104,140,139,107,146,155,155,159,154,102,71,71,71,74,105,103,102,100,101,101,104,106,103,103,101,99,102,100,103,109,107,105,110,110,111,110,110,103,83,82,89,94,103,102,102,100,101,100,101,100,100,102,101,98,99,101,102,102,101,103,105,103,102,101,102,103,102,106,113,107,104,103,103,102,101,102,104,102,102,104,106,105,104,106,104,103,104,105,107,105,106,105,106,108,107,111,137,118
12,156,159,162,165,167,169,171,173,176,177,179,181,185,187,185,185,187,188,189,190,189,190,189,189,189,191,192,192,157,161,164,166,169,171,173,175,177,179,182,184,186,189,190,191,188,189,184,183,193,192,191,192,192,193,193,192,159,163,165,168,170,172,175,176,178,180,184,185,186,173,153,174,195,194,172,135,148,201,195,197,198,193,195,192,160,164,166,169,171,174,176,177,181,183,183,189,205,177,154,129,198,204,177,151,103,188,175,168,179,199,195,196,162,165,168,171,171,174,176,179,181,184,182,199,221,195,179,125,169,213,171,163,121,115,153,149,118,173,203,195,163,165,169,171,173,175,178,181,183,185,184,204,223,205,178,133,165,219,173,164,116,94,168,152,117,104,204,196,164,167,170,173,175,177,180,183,183,186,187,203,223,218,186,149,164,224,180,160,101,110,181,147,107,82,186,203,165,169,171,174,176,179,181,184,187,187,188,192,182,213,197,157,151,215,173,143,86,122,183,143,104,79,175,208,167,170,172,174,177,180,182,184,186,187,200,173,125,152,193,139,136,193,150,133,90,113,172,141,108,78,171,210,167,170,173,176,178,181,184,186,185,206,205,154,130,107,161,128,120,177,144,134,93,109,163,140,111,75,171,213,169,171,174,177,178,182,185,183,202,205,191,164,146,106,123,129,100,167,143,118,90,110,166,145,112,76,186,207,169,173,175,177,179,182,185,187,203,170,188,180,146,115,89,125,116,149,166,130,98,134,204,167,118,87,205,203,170,173,176,178,181,183,185,193,205,166,171,174,141,120,78,123,134,145,187,145,101,151,209,175,100,80,199,207,170,175,177,179,182,185,185,196,199,175,148,164,147,118,73,89,121,94,143,140,79,128,164,111,95,93,125,212,172,175,177,179,182,186,185,200,199,174,142,167,143,107,86,53,63,43,119,170,156,174,162,135,122,110,98,199,173,176,177,181,184,186,185,203,203,175,146,153,137,102,93,58,64,98,185,200,195,183,169,142,120,103,108,204,174,177,179,182,185,186,187,203,202,174,144,133,136,112,104,66,86,158,201,198,194,175,159,134,114,94,121,215,175,177,180,183,185,188,189,205,202,181,162,135,119,127,106,85,133,198,202,209,190,167,150,129,110,90,135,219,174,177,179,183,186,188,188,205,200,187,173,160,136,121,123,143,174,212,209,213,182,157,142,121,105,91,176,216,175,178,180,184,187,188,188,203,205,193,177,169,164,145,148,162,173,212,211,204,169,147,135,117,96,117,212,209,175,178,180,184,186,189,190,198,203,196,182,175,174,160,147,154,170,216,208,187,162,141,127,112,89,151,218,207,174,177,180,182,185,189,191,195,196,194,187,180,174,164,151,144,176,215,201,174,156,134,116,107,89,181,216,209,175,177,179,182,186,190,191,193,189,192,188,181,177,165,149,138,174,201,189,158,142,125,109,99,103,207,211,210,175,177,181,184,187,189,191,192,193,194,192,182,176,164,151,134,169,186,170,144,130,114,106,88,146,217,208,211,175,178,181,185,188,189,191,193,195,197,188,177,172,157,143,129,164,168,146,134,118,105,99,100,198,212,210,211,175,178,181,183,187,190,191,193,192,196,178,162,156,141,123,130,156,155,134,127,111,105,93,155,216,209,209,210,175,178,181,183,187,190,192,191,190,199,172,157,148,126,125,131,153,150,133,122,110,99,109,205,211,210,210,211,176,178,182,185,188,190,194,187,196,203,174,166,150,134,137,140,157,145,132,112,103,89,157,214,210,211,212,212
7,182,184,185,187,188,188,190,191,191,192,192,192,191,191,191,191,192,193,192,192,192,191,190,189,189,186,184,184,184,185,186,188,190,191,191,193,192,193,193,194,193,193,194,194,194,195,194,194,194,193,192,191,190,189,188,187,184,186,188,189,191,192,194,194,194,195,195,195,196,196,196,197,196,196,195,196,196,195,194,192,191,190,190,188,185,188,190,191,192,194,195,196,196,196,197,197,197,198,197,197,197,197,197,196,197,196,195,194,193,193,192,191,188,191,192,194,195,195,196,197,197,198,198,198,197,199,199,198,199,199,198,198,198,197,197,195,195,195,194,192,189,191,193,195,196,197,198,199,199,199,199,199,199,201,201,201,201,200,200,199,199,199,198,196,196,196,196,193,191,193,195,196,196,198,200,201,201,200,202,202,201,202,202,202,202,202,202,202,201,200,200,199,199,197,198,197,191,193,195,197,198,199,200,201,201,204,202,202,204,203,202,203,203,203,203,203,203,201,202,198,197,198,197,196,192,194,196,197,198,199,201,204,209,211,191,172,185,196,198,196,198,202,200,200,197,199,193,203,210,196,198,196,195,196,196,198,201,207,210,210,213,212,205,169,155,177,186,185,187,182,180,186,184,192,182,199,190,189,202,197,194,198,206,210,213,212,209,207,202,198,195,166,147,160,174,182,182,179,177,174,171,177,168,164,161,191,199,199,208,214,213,212,210,205,200,192,186,193,201,177,148,141,145,156,169,178,172,171,178,177,172,181,180,180,195,187,222,216,209,205,199,195,191,189,192,198,203,181,151,149,149,143,142,135,145,154,154,160,155,158,165,165,164,183,218,213,205,195,187,184,182,185,189,198,188,164,146,145,156,163,156,136,153,202,195,190,187,187,185,187,193,206,213,210,205,194,186,184,185,181,179,189,193,170,138,128,144,153,154,152,139,208,214,212,213,213,211,210,209,206,209,207,205,198,193,188,189,188,186,191,201,178,151,151,154,145,145,129,161,218,209,211,211,209,209,208,207,207,204,201,199,198,197,192,189,187,187,191,194,178,158,162,164,155,152,138,208,215,212,213,212,211,211,209,209,208,191,189,192,196,197,195,189,185,184,183,170,160,148,143,149,153,133,180,222,211,213,213,213,212,212,211,210,211,118,126,150,180,197,191,181,173,165,155,149,141,110,96,112,138,136,208,216,213,213,214,212,211,209,209,214,189,69,68,74,95,133,161,151,156,163,177,197,209,141,106,128,142,186,219,214,215,214,213,210,213,216,220,183,127,70,66,64,60,61,72,171,211,215,219,217,221,206,171,192,208,219,216,216,215,213,213,220,206,175,158,124,107,64,61,59,61,47,93,226,213,214,214,215,215,217,220,219,217,215,217,217,215,218,217,186,138,121,113,105,94,60,57,55,56,42,97,224,212,214,215,216,216,215,214,215,215,217,217,216,218,215,152,103,101,115,106,100,95,57,59,56,57,36,90,228,214,217,217,217,219,219,218,218,219,219,218,220,221,173,118,94,80,96,95,90,93,63,66,62,55,28,82,212,202,207,209,210,211,212,213,213,215,215,217,215,151,107,124,94,72,78,90,85,86,72,68,56,39,34,61,138,135,138,139,141,144,147,147,149,152,150,155,154,110,90,119,91,67,70,78,79,80,78,62,42,37,37,76,131,123,123,125,124,125,125,125,126,124,123,138,137,101,84,112,88,65,67,72,75,76,72,48,38,43,38,97,141,132,134,135,134,133,134,132,133,131,135,125,111,98,82,105,82,66,64,69,71,73
13,170,173,177,179,180,181,183,184,186,188,188,188,189,190,190,190,190,190,189,189,188,187,186,185,185,184,183,182,171,174,177,180,181,182,184,186,187,189,189,189,190,191,191,190,190,191,191,191,190,189,188,187,186,186,185,183,171,175,179,181,182,183,185,187,190,190,191,192,192,193,194,195,197,192,192,196,195,189,190,189,188,187,186,186,172,176,179,181,183,185,186,189,190,191,192,194,193,194,190,171,169,198,190,171,174,194,191,191,190,189,188,187,172,176,180,183,184,185,187,189,191,191,193,195,194,196,184,155,126,159,173,145,110,156,199,191,191,190,189,188,173,177,181,184,185,185,188,190,192,193,194,195,194,201,202,170,152,110,148,156,117,109,198,193,192,191,190,189,174,177,182,184,185,187,190,191,193,194,195,195,196,198,208,177,151,105,128,156,124,96,189,197,193,192,191,190,175,179,182,185,185,188,191,193,194,195,197,197,198,197,197,177,142,109,105,135,114,90,184,198,193,193,193,192,175,178,182,186,187,189,192,194,194,196,197,198,195,203,192,176,139,117,97,126,110,90,185,199,194,195,194,192,175,180,183,187,187,190,192,194,196,197,199,189,152,145,147,165,163,132,104,138,123,98,195,198,196,195,194,192,176,181,184,186,187,191,192,194,197,197,207,182,140,122,112,162,189,148,108,130,127,84,174,204,196,196,195,194,176,180,184,187,189,191,193,195,197,194,184,178,151,146,112,115,177,140,102,112,109,91,120,204,197,197,196,195,176,181,185,188,189,192,195,194,197,186,132,135,170,151,133,78,87,82,97,111,106,120,101,163,207,196,196,196,176,181,185,189,190,191,193,198,211,172,138,116,159,159,137,108,60,76,87,109,134,135,117,114,204,198,197,196,176,181,186,189,191,192,193,207,190,165,151,138,126,159,141,127,78,90,126,134,146,139,126,96,188,203,198,197,177,182,186,189,191,192,195,210,170,160,159,141,118,142,144,119,82,90,156,169,161,128,119,98,190,203,198,198,178,182,186,190,191,192,196,207,177,138,138,134,118,103,121,97,82,104,165,167,162,133,103,108,204,201,200,198,178,183,187,191,193,193,197,198,183,158,128,113,92,69,100,112,97,136,182,164,156,132,91,131,212,200,201,198,179,183,187,191,192,194,196,199,197,176,146,122,108,99,110,118,126,186,184,159,144,127,86,160,212,201,201,199,179,184,188,192,192,196,197,197,194,183,162,150,132,130,142,159,179,192,173,153,134,118,88,186,208,202,202,200,179,184,189,191,192,195,196,198,191,178,163,145,128,128,148,193,187,177,161,144,127,105,99,204,206,203,202,201,179,184,188,191,192,194,197,200,181,168,162,146,133,134,141,178,181,171,152,133,121,93,118,215,204,205,203,201,179,184,188,192,194,196,198,203,186,170,163,149,144,139,139,174,178,169,146,123,114,80,157,216,205,204,203,201,179,184,189,192,193,195,197,202,200,171,163,157,147,135,132,160,169,157,131,111,95,93,204,208,206,204,203,201,180,185,190,192,193,195,197,201,204,190,166,156,143,135,129,145,157,146,121,109,79,150,217,205,206,204,203,202,180,184,190,192,193,196,198,200,202,205,182,156,140,130,131,138,151,143,121,105,87,195,210,207,206,205,203,201,179,184,189,191,193,194,197,199,201,202,190,167,153,147,149,145,148,145,118,95,119,212,206,206,206,204,203,201,177,182,187,190,191,193,196,198,201,196,194,174,165,163,157,151,148,138,114,89,150,216,205,205,204,203,202,200
1,179,181,182,183,183,185,185,185,185,185,186,186,188,188,187,187,188,188,186,187,187,187,187,186,186,187,186,185,181,184,186,185,187,187,187,188,188,190,189,189,189,190,189,190,189,190,191,189,189,189,189,189,188,187,186,186,185,187,188,188,190,190,190,191,192,192,193,194,193,192,194,192,194,185,185,194,192,192,191,191,190,189,188,188,189,191,191,193,192,193,193,194,195,196,196,196,197,197,169,188,209,181,143,201,195,194,194,193,192,192,191,191,191,194,194,197,196,196,197,197,197,199,200,198,205,207,139,182,213,170,138,199,192,199,197,196,194,194,194,193,194,196,197,199,199,199,199,201,200,201,198,192,215,196,139,192,210,153,154,198,150,186,203,198,197,197,197,196,197,198,198,200,203,203,202,203,203,207,193,158,199,180,142,206,205,142,169,207,139,171,210,200,200,199,199,198,199,200,201,203,205,204,205,205,203,215,191,144,182,177,149,214,208,149,186,209,139,172,212,202,203,201,201,201,201,203,204,206,208,208,206,208,206,216,176,146,180,170,157,207,195,147,199,205,134,176,213,205,206,205,204,203,203,204,207,208,209,210,210,210,209,221,172,153,170,157,143,202,178,144,212,206,138,186,214,209,209,208,207,206,205,206,209,210,211,210,212,212,211,221,164,149,170,165,136,214,173,156,219,193,141,196,215,211,210,210,209,209,207,210,211,212,212,212,212,213,215,224,173,139,170,166,139,218,169,168,219,184,139,206,216,212,212,211,210,210,209,212,213,214,215,215,215,213,217,225,177,128,156,142,130,197,147,190,223,184,146,217,217,215,214,213,212,211,210,212,214,216,216,217,217,215,220,225,180,148,180,192,177,197,180,170,209,175,156,224,216,217,216,216,215,213,213,215,215,216,217,218,218,217,226,223,188,164,150,194,216,210,209,161,162,162,167,228,218,219,218,217,216,215,214,216,216,217,219,220,220,219,232,212,176,154,131,138,164,183,221,204,144,118,185,229,219,220,219,218,217,216,216,217,219,219,220,222,222,222,237,214,176,145,138,141,144,177,232,229,177,113,202,228,221,222,221,221,220,218,216,218,220,222,222,223,221,226,238,210,171,149,148,154,187,206,205,222,192,133,208,228,222,222,221,221,221,221,218,219,220,222,223,224,221,229,235,207,175,149,158,161,212,225,207,189,174,133,180,234,222,225,224,223,222,222,218,219,221,223,224,226,223,231,235,210,179,161,160,183,231,223,200,179,148,120,185,236,225,225,225,226,223,222,220,221,223,224,224,225,225,231,234,209,180,170,159,198,238,225,189,166,138,117,209,234,227,227,227,226,224,223,221,223,223,225,225,225,226,229,231,209,188,178,160,196,238,217,180,156,127,136,228,229,228,228,227,227,227,225,222,224,224,225,226,227,227,228,227,211,193,187,157,198,231,201,170,146,118,184,237,228,229,229,230,230,228,228,222,225,227,226,227,228,229,230,230,214,194,187,157,206,217,192,165,133,130,224,233,231,230,230,230,230,228,228,222,225,228,227,228,229,228,229,234,215,199,177,158,200,192,178,155,120,163,241,231,233,232,232,232,231,229,228,223,224,226,228,228,230,224,229,234,229,207,174,168,191,176,168,146,119,207,239,232,234,234,233,233,232,230,229,223,223,225,227,228,227,223,232,231,228,208,180,179,182,171,161,127,159,237,234,234,234,234,233,233,233,231,230,224,225,226,226,227,223,225,224,212,213,200,178,176,165,161,136,131,220,238,234,234,234,234,233,233,232,231,230
10,152,153,153,155,155,156,158,157,157,158,158,157,156,156,155,154,153,152,151,150,146,158,148,109,143,141,139,138,157,157,158,160,160,160,161,162,161,162,161,161,161,160,159,159,157,155,155,154,148,169,159,87,137,144,141,140,162,162,163,164,165,165,166,166,167,167,165,165,166,165,164,163,162,160,159,159,153,172,160,89,131,151,144,143,166,168,168,169,170,170,170,171,171,170,170,169,170,169,168,167,165,164,162,162,157,176,150,83,130,156,147,146,171,172,173,174,174,174,174,174,176,175,175,176,175,174,173,171,170,169,167,166,162,179,155,86,130,160,151,151,174,175,176,178,178,178,179,178,180,180,178,180,180,179,178,176,174,172,171,170,166,187,160,91,135,164,155,153,178,179,180,180,181,182,182,183,183,182,182,183,184,182,181,180,178,176,174,172,172,194,152,135,139,165,159,157,182,183,183,184,184,185,186,187,186,186,186,186,187,186,184,183,182,181,179,178,180,188,169,158,90,168,163,160,183,186,187,187,188,188,189,189,188,188,188,188,189,189,188,187,186,185,181,178,153,144,177,158,70,151,172,163,187,188,189,190,191,190,190,191,191,191,190,191,192,192,192,190,188,189,189,192,180,146,126,141,93,82,177,167,190,190,191,193,194,194,194,195,195,194,195,195,195,195,195,194,191,180,162,178,196,167,134,100,104,67,122,180,194,194,195,196,196,196,197,196,197,197,197,197,197,197,194,191,198,171,133,101,123,180,179,142,82,77,84,181,196,196,197,198,198,198,200,199,199,199,199,200,198,199,177,135,154,194,164,114,30,119,175,109,68,60,94,184,198,198,199,200,200,200,202,202,201,201,201,201,199,197,187,159,118,180,190,141,62,36,66,113,96,59,103,190,199,200,201,202,202,202,202,202,202,202,203,203,202,188,188,189,148,136,198,151,99,46,47,150,143,67,110,192,201,201,202,203,204,204,203,204,205,205,205,204,201,172,143,179,162,96,156,164,103,54,75,145,161,80,104,193,202,203,204,205,206,206,207,207,207,207,208,204,201,185,123,120,146,67,99,169,103,62,87,141,150,76,99,194,203,204,206,207,208,208,207,208,209,208,209,207,193,173,144,105,124,94,79,160,153,94,91,143,110,61,120,197,204,207,207,207,208,209,209,210,210,209,209,206,198,204,179,122,113,121,85,137,176,118,80,123,88,55,162,195,207,208,208,209,209,210,210,210,211,211,211,210,197,208,188,151,123,114,110,166,163,97,75,107,79,72,192,190,208,209,210,210,210,211,212,211,212,213,214,215,199,203,198,166,135,126,143,204,193,148,111,104,69,104,203,189,208,210,211,211,212,213,213,213,214,215,216,216,202,189,192,175,149,139,147,197,194,168,129,102,59,140,204,190,206,208,209,211,211,210,210,212,214,215,215,216,208,184,190,181,172,153,148,191,185,152,113,89,63,179,200,194,207,208,209,210,210,211,211,212,215,215,215,215,216,188,177,186,181,157,136,174,162,134,102,65,91,204,192,193,209,208,209,212,212,214,214,214,216,216,216,215,217,204,169,177,171,154,129,146,146,117,89,49,147,206,192,192,210,210,211,212,213,214,214,214,214,215,216,216,215,215,187,175,163,147,129,129,146,117,71,80,200,198,195,192,208,211,213,215,216,219,219,219,220,222,222,222,223,217,196,177,160,154,144,128,140,111,57,140,210,195,197,199,131,133,138,142,146,151,157,162,166,170,173,178,185,184,189,182,164,170,151,133,134,99,58,166,202,194,189,148
11,98,104,109,114,116,119,123,126,128,131,132,134,136,139,142,141,143,145,145,147,148,149,149,150,150,149,149,148,100,105,111,115,117,122,125,127,130,132,134,136,140,142,143,144,145,147,149,150,151,151,152,151,152,152,151,150,101,106,111,116,118,123,126,128,132,133,135,138,142,142,143,145,147,148,150,151,152,152,153,153,153,153,152,152,102,108,113,117,120,123,124,129,133,134,137,138,141,144,144,142,150,150,151,152,153,152,153,154,154,154,154,154,103,110,115,118,121,124,127,131,134,137,140,141,143,145,150,129,105,155,152,154,155,155,155,155,155,155,156,156,105,111,115,120,122,126,129,133,135,139,141,143,145,144,154,138,62,147,156,155,155,158,158,158,157,157,158,156,106,111,116,120,125,127,130,135,137,140,142,144,146,144,165,128,62,148,157,157,157,157,158,158,158,157,157,156,105,112,118,122,124,127,132,136,139,142,144,145,146,146,175,100,73,162,155,158,159,158,159,159,159,159,159,159,106,114,119,123,125,128,132,135,140,143,145,147,146,156,177,87,95,167,157,160,161,160,160,161,160,160,159,159,108,114,118,124,126,129,133,135,140,143,145,146,145,171,144,67,119,165,159,161,161,162,162,162,162,160,160,160,109,115,118,124,127,130,134,136,141,143,142,143,150,178,95,61,146,161,159,160,161,161,162,162,162,161,161,161,109,116,120,124,128,129,135,137,137,138,159,157,100,117,76,80,165,159,161,161,161,162,163,162,163,162,161,160,109,115,121,123,126,134,125,139,162,115,119,142,85,57,57,120,168,159,162,162,162,163,163,162,162,163,162,161,109,115,120,147,173,163,115,73,153,110,62,112,81,45,50,152,161,160,162,163,163,163,163,164,164,163,164,164,110,110,143,156,140,163,115,60,133,85,77,130,70,30,72,168,159,161,162,163,163,165,165,165,165,163,164,164,108,118,147,128,107,149,108,64,126,64,95,120,58,24,99,172,159,162,163,163,163,166,166,166,166,166,164,163,104,133,155,107,76,128,97,58,105,57,108,95,42,22,117,170,159,162,163,163,164,165,165,166,167,166,165,164,104,158,152,112,82,107,60,65,81,49,99,72,34,17,127,169,160,164,165,167,165,169,170,165,166,165,165,166,119,177,141,114,84,83,49,79,51,58,119,45,21,25,100,167,160,157,148,139,132,128,150,172,166,166,166,165,143,179,133,112,86,68,61,99,19,31,88,29,54,77,79,122,141,148,146,136,124,101,86,125,171,166,166,166,146,167,138,120,98,74,71,86,70,89,102,116,122,119,126,136,143,138,120,99,91,99,90,58,152,170,166,166,138,163,144,129,105,86,98,129,147,141,137,137,133,115,122,123,90,86,104,121,146,161,147,124,159,170,167,166,142,172,145,133,108,92,112,147,138,128,136,129,119,88,77,75,110,151,170,174,173,171,172,174,169,168,167,167,162,173,135,122,98,93,113,135,127,125,129,110,77,51,91,146,171,169,166,167,167,168,168,168,169,169,169,168,174,134,115,105,98,101,109,114,121,117,97,54,56,121,166,167,164,166,167,167,169,170,170,169,168,169,169,170,172,128,112,114,111,106,106,97,103,80,42,83,150,167,160,162,166,166,166,167,169,170,169,168,169,170,169,168,165,145,102,128,128,109,99,77,68,48,110,159,157,155,158,160,163,163,163,165,167,167,167,168,166,167,168,174,163,148,96,137,132,102,80,62,39,102,161,149,152,155,157,159,161,163,163,164,165,165,167,166,179,189,191,191
21,185,188,191,193,196,198,199,200,201,201,201,201,200,200,198,197,195,194,194,194,190,189,188,187,184,184,180,180,187,190,193,195,197,200,201,203,204,204,205,204,204,202,202,199,202,198,195,196,195,192,190,189,188,186,183,181,188,191,195,197,199,201,204,205,207,206,206,206,206,205,204,200,175,197,200,197,196,195,192,191,191,188,188,184,189,193,196,197,200,204,207,207,209,208,208,208,207,206,208,217,114,163,209,199,200,197,192,193,192,191,191,189,190,195,199,199,203,205,209,209,210,209,209,209,209,206,215,205,109,172,210,199,200,202,198,197,195,193,192,191,192,197,200,201,204,208,209,210,210,211,211,212,213,205,226,195,113,190,210,202,201,182,193,201,198,197,193,191,194,197,200,204,206,207,210,212,214,213,216,214,214,208,234,189,120,202,209,206,187,122,147,209,196,198,196,194,196,200,204,207,209,210,213,215,216,216,216,216,215,216,237,177,127,211,209,201,176,113,164,208,198,198,197,196,197,200,205,207,210,213,215,216,217,217,219,217,213,221,231,163,126,215,210,195,164,114,199,205,201,201,199,197,197,202,207,209,212,215,215,216,218,218,218,220,219,231,223,143,131,221,202,193,144,143,215,203,203,202,200,198,200,204,207,209,213,216,218,217,220,221,220,180,178,249,219,125,162,220,184,180,116,181,215,206,206,204,202,200,201,205,208,210,214,216,218,220,223,220,230,182,117,163,164,105,184,209,189,147,122,215,210,209,208,205,204,203,201,206,210,213,216,217,219,223,222,227,229,224,184,135,97,97,198,197,185,114,172,222,211,210,208,208,205,203,203,208,211,214,216,219,221,222,228,242,227,249,232,158,98,100,139,153,140,119,214,215,214,213,210,209,207,204,205,208,213,216,219,221,223,225,241,187,212,212,212,151,104,96,102,114,97,167,225,214,214,214,213,210,207,205,206,209,214,218,221,223,221,237,230,162,177,136,199,179,118,94,93,98,112,216,220,216,215,215,215,214,209,206,206,211,216,219,222,225,223,244,224,178,130,83,177,203,134,99,91,86,158,232,219,219,218,217,216,214,212,209,208,213,218,220,224,224,229,246,190,151,136,99,187,218,156,116,96,86,194,230,220,220,220,219,216,214,212,210,210,215,218,221,225,224,240,245,196,183,145,172,255,208,176,139,101,88,200,232,223,223,220,219,217,217,215,211,210,215,217,222,227,223,247,247,214,166,159,254,242,188,170,140,108,103,208,232,226,225,220,221,220,218,216,214,211,215,218,223,227,226,255,255,207,165,208,255,218,177,149,139,112,116,222,229,226,225,225,225,222,219,216,214,212,217,220,223,226,226,255,244,195,186,221,255,217,189,139,122,109,138,235,227,226,226,225,224,221,219,217,216,213,217,222,224,228,228,255,224,227,186,228,255,206,181,143,116,105,170,240,229,229,227,226,225,222,221,218,217,209,214,218,222,227,230,239,246,247,186,244,234,189,158,133,120,109,201,238,229,228,227,226,226,224,220,219,216,208,214,218,222,226,228,235,248,231,178,220,213,170,137,121,112,123,223,233,228,226,225,225,223,222,219,218,215,210,214,218,223,228,229,238,232,208,181,198,201,167,143,125,103,148,238,230,231,228,226,227,224,222,220,218,216,210,215,219,224,227,231,236,227,205,205,205,199,193,144,120,96,172,241,231,232,228,227,227,226,224,221,219,216,210,215,219,223,227,230,233,233,236,234,212,189,190,141,110,95,194,241,232,231,228,228,226,225,223,222,219,217
8,103,110,115,120,125,130,133,136,139,142,145,147,148,149,151,152,152,152,153,153,153,153,153,153,153,152,152,151,106,113,118,124,129,134,138,139,145,147,149,151,153,153,154,154,154,155,155,155,155,154,154,154,154,152,152,152,111,117,122,128,135,140,142,161,136,151,155,156,158,158,159,158,158,159,161,160,159,158,157,157,156,155,155,153,114,122,125,132,139,143,149,183,109,138,166,161,163,163,164,165,164,164,164,164,163,162,161,161,160,159,159,156,117,124,128,135,142,146,157,197,106,125,173,166,169,170,170,170,170,169,168,168,170,169,165,166,165,165,164,162,121,128,131,139,147,149,161,204,104,123,179,171,174,175,177,175,173,176,178,177,163,168,174,171,170,170,169,166,125,131,135,143,151,154,163,201,112,122,184,176,178,176,174,182,194,139,138,203,160,114,168,178,175,175,174,171,128,133,139,147,153,159,167,208,125,114,186,179,189,195,137,166,205,148,104,167,173,121,121,186,180,180,179,176,131,136,144,152,159,163,172,210,146,120,180,182,214,225,197,184,162,156,167,190,136,94,96,169,187,183,182,181,133,138,147,156,163,166,172,211,173,149,171,203,214,214,218,174,160,164,172,173,142,95,59,145,197,185,186,185,137,142,150,159,166,172,173,206,180,171,193,207,182,159,224,179,154,166,145,131,155,118,61,156,198,188,188,187,140,144,153,162,168,176,175,202,200,178,197,203,186,130,168,200,122,98,91,141,173,134,86,177,199,193,192,189,143,147,156,166,172,179,178,202,219,157,185,178,169,151,137,192,131,66,53,182,193,155,94,141,207,195,195,193,145,150,159,168,174,181,181,201,227,153,138,173,133,136,132,169,155,112,58,157,217,175,114,88,198,201,198,196,147,152,162,171,176,183,186,198,225,186,114,137,139,123,142,164,171,114,156,212,201,176,125,72,165,211,200,200,147,154,165,173,180,186,189,198,231,208,144,108,156,128,166,205,173,154,212,217,179,141,118,80,166,215,203,202,149,157,167,174,181,187,193,197,232,216,170,119,126,138,173,217,204,224,222,193,167,128,99,89,198,210,205,208,153,158,169,178,183,188,194,199,231,226,192,147,118,139,164,219,220,228,218,185,149,119,78,124,229,220,216,197,153,159,170,179,185,190,195,200,229,231,204,166,137,143,156,209,226,223,202,170,136,109,72,179,197,147,110,69,154,159,171,180,187,191,197,198,223,230,213,178,162,150,151,189,223,218,190,154,124,99,75,93,59,40,44,49,154,161,172,182,188,193,199,200,216,225,219,190,176,169,140,173,203,211,182,141,118,91,59,33,41,43,39,52,155,163,174,183,189,194,200,203,208,222,221,201,183,179,136,166,182,201,170,133,108,85,48,33,35,49,32,38,155,163,175,183,189,194,200,205,202,214,218,204,188,174,136,139,176,174,157,119,99,68,46,35,21,43,45,31,153,162,175,183,188,193,199,204,205,201,217,205,190,167,139,118,160,158,140,112,93,41,28,49,23,26,46,39,155,164,175,183,189,193,199,203,209,199,222,217,193,168,140,116,136,152,127,105,78,19,13,42,41,19,34,43,156,165,176,183,189,195,200,205,209,202,219,214,184,160,142,118,124,135,119,92,63,31,3,23,46,33,20,40,156,165,177,184,191,195,200,204,210,193,223,193,165,165,150,125,116,123,120,80,41,47,5,9,37,45,25,27,153,161,170,178,185,192,198,205,202,160,234,196,176,183,160,126,110,116,116,65,21,48,20,0,26,45,36,26
22,59,63,68,84,98,107,110,114,121,127,131,134,138,140,143,144,146,147,147,146,145,144,144,142,141,140,139,138,60,63,69,85,99,108,111,115,123,127,132,140,139,142,145,146,149,141,143,149,147,147,145,147,145,142,140,140,61,63,71,88,101,109,113,118,124,138,142,110,143,144,147,147,163,121,94,155,148,147,150,132,142,147,142,141,62,64,72,90,102,112,116,122,122,156,160,77,138,148,149,149,173,119,78,156,150,153,157,90,104,155,145,143,62,64,73,91,103,113,118,123,124,153,169,82,127,153,148,154,169,110,88,162,149,163,155,81,110,156,146,145,62,65,74,93,105,114,118,124,128,147,175,93,114,157,150,157,163,103,103,163,153,166,137,75,138,154,148,147,61,64,76,93,105,115,120,126,130,143,183,119,100,158,153,154,145,90,112,163,166,174,114,85,159,150,150,148,62,65,77,94,106,117,121,126,133,140,180,129,90,152,156,157,146,80,120,165,171,159,95,117,162,152,153,150,62,66,77,94,107,119,122,127,135,140,175,138,80,138,161,156,150,81,132,176,172,126,77,146,159,155,154,152,62,65,78,97,109,120,123,128,137,140,168,165,100,119,166,145,131,66,156,189,167,105,86,164,156,156,155,154,63,65,78,97,110,121,126,130,137,142,157,172,106,92,154,121,119,91,174,176,153,80,123,169,159,157,156,155,62,66,79,98,112,122,125,131,139,147,151,169,98,59,113,127,147,171,177,157,114,71,157,164,160,160,158,155,62,66,81,98,113,122,126,132,141,147,147,166,118,84,133,138,147,164,161,145,75,111,174,160,161,161,160,157,63,66,82,100,113,123,127,134,140,160,149,112,119,96,122,133,154,148,157,120,65,152,171,164,163,162,162,159,62,67,82,100,115,125,127,135,141,174,142,134,118,126,94,76,124,138,128,82,68,162,170,166,165,164,162,161,61,66,82,100,116,125,128,136,142,181,158,145,146,135,96,63,55,97,95,67,75,173,168,167,167,166,164,162,61,66,84,102,117,126,130,135,149,187,166,122,102,117,121,107,74,48,52,54,75,176,168,168,168,168,164,162,62,67,85,102,118,127,130,138,149,191,173,109,54,63,121,124,105,77,61,45,52,168,174,169,169,167,166,165,61,66,85,102,117,126,129,138,145,189,183,132,117,51,161,146,118,96,78,35,37,163,176,170,168,168,168,166,59,63,84,102,117,126,129,138,142,185,191,143,122,93,182,165,129,101,81,32,49,174,172,169,168,168,168,168,58,63,83,102,118,126,129,139,141,181,193,145,123,153,173,146,129,90,72,27,73,185,170,171,169,168,169,167,56,61,82,102,119,127,129,138,143,170,189,166,131,173,172,128,134,107,66,23,93,185,170,172,170,168,168,166,50,56,79,100,117,126,130,140,147,163,182,168,132,165,165,133,124,111,62,19,131,187,175,176,173,171,170,169,78,81,90,100,111,118,122,128,137,133,171,170,134,131,148,118,102,83,41,32,147,160,155,154,154,153,153,153,87,87,83,77,81,83,83,83,90,52,82,169,114,89,104,91,70,52,34,50,79,75,73,74,74,72,75,73,84,85,86,86,87,85,86,87,87,46,12,78,93,88,97,105,84,56,26,51,85,77,77,77,76,76,57,31,86,87,86,87,87,87,87,91,67,26,31,15,55,96,100,104,75,34,0,29,88,78,78,79,60,35,14,6,87,87,86,86,86,86,89,87,39,33,31,28,17,36,61,50,15,0,0,48,87,76,80,60,22,17,8,0
14,135,139,143,148,152,154,156,158,162,163,163,166,167,167,169,168,169,167,168,168,167,167,167,165,165,164,163,163,134,140,145,149,153,156,157,160,162,162,164,166,167,169,170,170,169,169,169,169,168,168,167,167,166,165,165,164,136,141,146,151,155,155,158,161,164,164,167,168,169,170,170,173,172,170,170,169,169,169,168,167,167,167,166,165,137,143,148,152,155,157,160,163,165,167,169,170,170,172,172,175,174,172,172,170,170,170,170,169,169,169,168,167,138,144,150,153,155,160,161,165,167,168,170,172,171,172,179,171,174,173,171,175,175,171,171,171,171,169,169,168,139,144,149,154,158,160,162,166,168,169,171,175,168,204,222,202,204,193,166,151,162,177,169,171,172,171,169,169,139,146,152,155,159,160,163,168,169,170,172,170,180,225,220,221,206,189,176,160,148,148,174,175,170,171,171,169,140,149,153,157,160,163,166,168,171,171,175,168,213,229,199,174,152,126,130,147,139,81,97,170,174,171,172,171,141,149,154,158,161,164,167,169,172,175,174,179,234,220,156,90,78,79,81,100,98,89,78,93,176,175,173,172,143,149,153,158,163,166,168,171,172,177,168,205,237,200,123,60,69,79,63,70,94,122,105,57,117,183,174,175,144,150,155,160,163,167,169,171,174,175,171,236,221,154,75,47,76,83,67,75,81,83,90,110,86,135,180,174,147,152,157,161,165,168,170,171,175,171,198,243,174,98,51,50,49,57,78,77,84,86,100,120,114,124,132,178,148,153,158,162,166,169,171,175,175,177,241,228,156,100,75,71,62,51,81,85,137,120,112,101,157,132,116,182,148,155,160,164,168,169,172,178,171,204,255,214,149,102,87,76,75,78,66,140,193,187,178,159,175,102,124,187,150,156,161,166,170,171,174,179,170,223,255,204,140,98,87,73,74,79,99,188,185,184,184,164,169,101,121,189,150,155,161,167,169,173,177,179,173,231,253,200,131,88,75,66,76,72,141,193,184,188,179,158,161,104,105,186,151,156,162,166,170,173,177,178,175,244,247,201,142,91,68,67,65,49,158,202,184,192,162,148,150,115,102,178,151,158,163,167,172,174,176,176,182,255,240,198,143,92,68,56,56,52,74,158,197,185,145,153,138,110,131,185,152,156,162,167,171,175,179,175,198,255,232,193,144,95,61,51,65,79,73,77,116,127,153,166,138,110,176,185,153,158,163,167,172,176,182,173,216,255,228,189,145,97,61,50,64,75,80,97,93,112,158,150,113,146,191,183,151,158,164,168,173,177,182,174,233,252,221,182,149,102,65,56,67,75,94,118,122,119,146,122,125,190,185,184,149,156,164,167,172,176,179,178,241,244,210,179,164,104,72,74,86,97,118,127,118,113,118,105,171,191,185,186,150,158,166,169,173,177,177,182,242,233,199,194,168,97,88,79,98,115,130,121,111,106,95,137,193,186,187,186,152,159,166,170,175,178,177,186,239,223,203,207,165,113,101,78,103,124,129,115,104,96,146,192,190,190,190,187,151,159,166,170,174,178,177,189,235,225,214,212,175,131,105,83,97,121,122,110,95,117,198,191,190,191,190,188,151,160,167,171,175,179,177,197,244,234,225,217,178,133,106,90,93,114,111,104,93,165,196,191,193,191,189,186,152,158,165,169,174,179,174,202,246,234,231,207,164,125,106,95,95,105,104,93,140,196,192,193,192,190,188,186,150,155,162,167,171,176,171,208,243,232,225,182,144,116,104,100,101,102,99,138,195,192,193,192,190,189,187,185
13,158,161,164,165,166,167,169,171,171,170,170,171,171,172,175,173,172,175,173,173,172,173,172,174,173,173,173,173,160,163,165,167,169,170,172,172,172,172,173,172,173,173,166,174,179,174,174,175,174,174,177,176,175,176,174,174,163,165,168,169,170,171,173,172,173,176,181,177,181,174,125,88,159,182,175,174,177,178,178,178,179,179,177,177,164,167,171,171,172,174,175,175,175,172,154,161,193,179,132,48,119,195,178,185,179,181,181,180,180,181,180,180,165,168,171,171,174,177,178,174,195,176,117,91,161,176,130,56,97,119,102,144,186,181,181,180,179,180,181,180,167,169,172,174,176,178,178,171,204,196,142,87,152,181,117,51,74,135,82,37,162,190,183,183,181,182,182,182,169,169,173,176,176,175,182,145,99,138,164,92,144,178,107,44,147,159,99,32,116,199,184,185,185,187,186,185,171,173,175,178,176,186,193,145,100,64,147,91,134,201,106,76,167,133,92,35,121,199,184,187,187,188,188,187,173,177,179,177,187,187,185,166,122,64,116,106,100,166,89,80,175,139,84,27,147,198,186,188,190,189,189,188,174,178,180,180,193,153,164,174,118,63,79,125,54,19,24,90,189,145,65,36,170,193,188,190,189,190,189,188,176,178,178,187,193,160,136,160,122,58,57,117,69,0,34,130,137,79,28,56,192,191,190,191,189,191,192,190,179,180,181,198,188,154,113,164,117,60,51,96,74,0,26,142,156,111,54,105,207,191,194,193,192,192,192,192,179,180,182,205,191,155,103,150,111,60,43,96,82,44,144,144,140,133,103,74,192,194,194,195,193,193,193,193,180,181,185,206,181,146,97,121,115,69,42,141,111,108,187,160,131,102,84,47,149,206,195,196,194,194,194,195,181,181,187,205,182,155,130,104,109,106,24,122,142,175,176,153,126,85,67,49,164,203,195,197,196,195,196,195,181,182,191,206,184,162,143,111,80,65,39,148,188,196,172,141,115,80,59,63,192,198,197,198,199,197,197,196,182,182,192,206,185,160,144,135,97,82,107,193,194,194,161,128,101,72,51,92,206,197,199,199,199,198,197,198,183,183,190,199,186,165,151,146,109,96,101,180,195,180,139,110,87,65,47,150,210,200,202,200,199,198,199,199,184,184,186,190,188,170,155,149,122,94,103,182,192,161,127,99,78,52,89,205,202,204,203,201,200,201,201,200,184,184,185,190,191,172,155,149,127,98,118,166,180,142,118,88,70,44,156,211,199,203,202,202,201,201,201,200,182,185,186,191,191,173,154,144,126,96,126,157,149,123,105,80,60,66,197,201,200,202,201,201,201,201,201,201,182,186,184,192,190,163,148,133,108,95,134,138,120,110,90,74,47,130,211,200,201,201,201,201,201,201,200,201,183,186,178,194,182,153,145,118,101,104,137,122,110,102,81,60,78,195,202,201,201,202,202,202,202,202,201,202,182,182,178,205,175,157,146,118,112,122,139,116,107,86,71,56,166,206,200,202,201,202,202,202,202,202,202,201,183,178,186,210,178,170,149,118,124,137,123,104,93,69,48,120,205,200,201,201,202,203,203,203,203,202,202,202,184,176,188,194,173,175,154,127,134,130,110,90,74,55,63,189,203,201,201,201,201,203,204,203,204,202,202,202,187,171,187,179,158,160,146,123,122,124,99,72,68,39,128,207,201,203,201,202,202,203,204,204,204,203,203,204,125,145,192,170,149,130,123,110,120,130,83,67,62,45,158,195,193,197,199,200,202,203,205,205,203,205,201,192
6,186,187,188,189,189,189,188,188,188,188,187,186,185,185,184,183,182,181,179,178,178,177,177,175,173,165,139,136,188,189,189,190,190,190,189,189,189,189,188,187,187,186,185,184,183,182,181,180,179,179,178,177,175,171,159,138,190,190,191,192,192,192,191,191,191,190,189,188,188,188,187,186,184,183,183,182,182,180,179,178,177,174,169,157,191,192,193,194,194,194,193,193,193,192,191,190,189,189,188,187,186,185,185,185,184,182,180,179,178,176,172,166,192,194,194,195,195,195,195,194,194,193,192,192,191,190,190,189,188,187,186,186,185,183,181,180,179,177,174,171,194,194,195,196,197,196,196,196,195,195,194,194,193,192,191,191,190,188,187,186,186,184,182,181,179,178,177,174,194,195,196,198,198,198,198,198,197,196,196,195,194,192,191,190,187,182,182,183,183,180,178,177,176,179,175,174,195,196,198,199,200,200,199,199,198,196,194,192,189,186,184,182,177,166,164,172,173,166,168,168,175,189,168,168,196,198,200,201,200,200,200,198,191,183,182,184,182,182,183,182,174,164,160,169,171,162,161,162,162,173,156,164,198,200,201,202,201,201,202,202,186,171,172,179,181,184,184,181,169,155,148,147,145,139,138,139,138,145,157,173,199,200,201,202,202,202,209,211,193,177,169,167,168,165,161,154,143,129,112,104,102,120,144,153,162,170,177,180,200,201,202,203,203,205,216,217,202,185,169,159,155,150,144,135,123,107,88,74,88,148,182,185,185,185,183,181,200,202,203,204,205,211,222,221,208,181,155,147,149,153,152,146,136,126,115,98,126,181,191,189,188,186,184,183,202,203,204,205,206,217,227,223,202,162,139,138,142,149,154,151,143,135,127,112,143,190,192,191,189,187,186,185,203,204,206,205,207,223,227,219,189,152,143,139,133,137,148,144,137,132,121,106,150,192,194,192,190,188,187,186,203,205,206,205,212,225,225,220,198,175,158,142,130,133,148,145,138,135,122,113,167,195,195,193,191,189,188,187,204,206,206,207,219,226,226,225,218,202,170,145,142,147,151,145,135,126,118,114,161,195,195,194,192,190,188,187,206,206,205,211,224,227,226,224,221,207,169,139,137,140,141,138,128,118,110,107,157,195,196,195,193,191,189,187,206,205,204,215,225,227,224,219,214,198,166,142,131,123,125,130,127,119,106,117,175,197,196,195,193,191,189,188,204,200,205,219,225,225,220,214,208,199,183,163,135,110,114,127,126,118,106,130,186,197,196,194,192,189,177,158,201,195,210,222,224,222,218,215,209,205,202,184,145,119,124,136,130,116,105,116,177,197,196,194,190,175,127,82,196,199,215,222,222,220,218,215,208,208,205,178,138,118,120,122,114,103,96,115,177,197,194,183,157,114,69,47,196,207,217,219,217,213,208,205,202,202,190,159,128,115,112,110,106,104,110,149,186,181,156,118,82,56,44,39,205,211,216,213,207,200,196,194,191,180,162,138,121,110,105,124,135,143,153,158,139,105,73,54,44,40,39,38,210,211,211,205,194,189,187,184,179,163,143,128,120,112,119,142,137,123,107,85,59,38,33,35,36,34,34,33,209,209,203,193,182,175,178,175,166,154,139,123,104,85,80,73,60,51,45,42,29,19,24,29,31,30,30,29,208,205,198,187,174,165,163,157,146,135,118,95,69,51,39,34,32,32,34,33,19,12,19,25,29,27,28,29,208,202,194,180,163,154,147,135,121,108,88,64,45,40,32,24,25,27,31,29,14,9,16,23,27,25,25,27
7,190,192,192,195,198,198,197,198,199,199,199,200,200,200,200,200,200,200,200,200,197,196,194,192,190,189,187,185,191,195,196,197,198,200,200,202,202,201,201,201,201,201,203,205,202,202,202,202,200,198,197,194,191,190,191,188,194,196,199,201,202,204,203,202,204,205,204,205,206,207,206,205,205,206,205,204,204,201,199,197,196,194,192,190,196,199,201,203,204,205,207,206,206,207,209,209,208,209,209,207,206,207,208,207,204,204,201,199,199,196,195,191,200,202,204,204,206,208,208,208,209,209,209,210,210,209,210,210,209,209,209,208,208,207,204,203,202,200,198,197,201,204,206,207,208,210,209,211,212,211,210,213,212,212,212,212,211,211,211,210,209,207,206,206,203,201,199,197,204,206,206,209,211,212,213,212,214,213,212,214,214,214,214,213,213,214,213,212,212,210,208,208,207,204,202,200,206,208,208,211,213,214,215,215,218,220,219,217,218,218,218,217,216,217,217,215,215,213,209,208,210,208,205,203,206,209,211,213,213,216,220,225,210,184,203,213,214,212,215,218,219,217,215,214,211,210,217,212,209,208,207,205,208,209,212,217,223,226,229,234,222,178,153,180,199,196,200,199,196,200,201,203,198,213,236,194,214,209,208,207,213,220,226,231,231,226,223,220,217,180,135,154,176,187,187,179,174,179,174,184,175,174,159,190,215,210,210,209,232,233,231,227,219,210,198,198,209,185,141,128,139,163,178,189,187,175,177,181,169,170,176,179,211,206,210,211,230,226,218,211,206,199,198,205,219,201,146,131,131,125,132,138,141,142,154,160,159,162,176,167,177,174,213,211,225,213,199,194,189,192,197,208,202,174,144,136,148,151,142,114,119,183,177,174,165,163,166,170,171,201,218,215,222,208,193,186,188,187,181,194,204,176,131,108,128,152,155,148,121,204,239,229,229,228,226,224,226,223,217,217,224,213,202,195,196,195,190,192,211,192,144,125,133,131,130,129,118,212,230,226,227,226,225,223,221,222,219,221,215,212,209,201,197,195,195,199,211,192,152,150,160,145,146,108,171,242,229,231,229,229,228,226,225,224,226,203,204,207,209,207,201,192,189,191,182,169,149,145,154,149,135,137,237,233,231,233,230,230,229,228,227,232,171,106,156,189,211,205,192,185,176,163,144,124,105,72,84,127,111,183,246,231,232,233,232,231,231,229,235,211,103,108,37,73,135,177,163,142,143,148,177,198,113,59,82,109,141,231,235,234,234,232,231,229,228,232,228,154,95,90,13,4,16,34,114,204,218,235,240,249,220,129,157,186,228,239,236,235,234,231,231,238,232,228,150,89,77,52,7,6,1,5,207,245,236,236,234,234,238,238,239,244,238,238,237,236,234,239,241,189,134,108,82,68,54,37,0,0,0,32,240,232,233,237,238,238,237,236,234,234,237,239,239,235,239,211,141,94,93,81,70,53,39,29,0,1,0,18,238,234,234,236,237,237,237,238,238,237,239,238,237,251,214,105,52,55,78,65,58,57,46,26,9,4,0,15,247,240,241,242,242,245,245,246,245,246,245,245,248,210,128,96,56,28,47,56,47,50,53,31,9,0,0,0,187,195,197,201,204,207,210,211,213,215,215,220,203,97,60,100,51,18,22,43,38,40,53,43,0,0,0,4,102,98,100,103,105,109,113,114,115,117,113,129,128,70,48,89,47,10,18,28,30,32,45,48,0,0,0,31,117,105,106,108,107,107,106,108,108,103,110,123,108,57,40,79,41,10,12,22,25,27,36,45
15,159,160,152,102,169,126,36,97,106,106,108,113,117,123,139,151,160,168,172,175,180,185,191,195,199,202,204,206,164,165,150,105,176,116,37,101,106,107,110,114,117,123,141,153,163,170,172,175,182,188,193,197,201,204,206,208,168,170,146,111,185,107,41,106,105,107,111,115,118,125,142,155,165,172,174,178,185,190,196,201,203,205,208,211,172,176,142,118,191,96,45,108,105,108,112,116,118,127,145,155,165,174,177,179,186,191,197,202,205,206,210,212,173,181,136,127,195,84,52,111,106,109,113,118,118,128,145,156,167,175,178,182,188,194,200,203,206,210,211,214,176,185,129,137,195,76,62,113,108,112,115,118,120,128,145,159,170,176,179,183,190,197,201,204,208,212,214,217,180,189,124,148,192,58,61,106,102,104,110,115,119,130,147,160,171,178,181,185,193,198,203,206,211,214,216,217,183,193,122,175,195,132,129,151,142,139,134,127,123,131,146,160,171,181,182,186,193,198,204,208,211,215,217,218,187,189,140,211,176,175,173,198,183,181,183,188,170,154,143,156,167,169,172,190,194,198,205,208,212,217,218,220,187,189,124,172,128,134,134,167,149,144,180,196,172,149,155,185,194,172,141,139,200,201,205,211,214,217,220,222,189,189,113,184,144,79,105,132,127,121,161,180,157,132,170,198,188,186,195,124,140,207,209,211,216,219,221,223,195,186,112,205,162,32,101,113,111,114,118,144,145,166,211,187,174,202,205,182,121,128,214,215,216,220,223,226,200,181,114,211,147,36,109,114,112,110,122,161,164,167,206,168,165,198,184,199,155,104,128,218,221,219,225,228,204,177,120,220,137,35,112,113,111,110,204,190,138,126,135,130,170,180,181,179,159,138,94,122,212,228,225,229,210,170,127,227,124,39,116,113,108,121,214,203,154,116,79,88,173,197,186,142,131,129,116,92,105,208,233,228,217,165,139,230,113,43,119,112,112,98,176,224,188,172,150,156,168,170,159,115,104,113,107,106,90,107,227,232,223,157,149,231,101,48,123,111,110,153,201,206,200,172,151,154,146,143,151,125,103,108,104,100,99,80,146,247,226,150,160,228,90,54,125,101,182,206,188,167,187,156,112,129,127,125,128,112,103,109,106,102,99,98,89,181,228,142,169,227,81,60,126,105,193,170,145,133,150,123,100,104,101,100,101,103,111,125,123,102,96,101,98,97,228,136,182,225,69,66,126,108,131,126,104,128,125,101,96,112,98,86,119,122,132,144,128,95,93,101,102,98,230,132,193,220,61,73,125,111,109,111,110,146,197,157,123,120,117,102,111,124,132,131,114,95,96,103,106,104,229,129,206,217,53,79,124,111,112,113,116,114,135,138,107,88,130,153,92,100,130,123,106,101,102,110,106,103,229,126,222,215,45,86,124,110,110,112,113,116,120,137,151,163,175,154,134,128,115,108,104,107,112,110,106,104,226,127,232,209,39,92,124,109,109,111,112,114,122,144,162,175,190,176,93,116,140,143,131,121,104,90,84,80,219,130,242,198,34,98,123,110,110,110,111,113,121,142,158,170,192,149,84,79,154,129,86,65,49,44,43,33,212,132,249,187,32,103,119,107,108,108,109,112,121,141,158,172,192,125,97,98,49,56,57,45,41,38,34,29,201,141,255,174,31,108,117,106,105,107,109,109,119,140,158,176,180,110,91,97,74,33,65,49,42,38,34,29,193,152,255,163,31,112,116,105,104,104,107,108,117,138,155,177,160,96,94,90,90,26,48,50,37,32,34,28
7,154,160,166,173,177,180,183,186,188,191,193,193,193,193,194,193,193,194,193,191,190,190,189,187,186,184,183,182,156,162,168,174,178,181,185,188,190,191,195,195,198,198,196,196,197,195,194,193,193,191,192,191,189,185,186,184,157,164,171,177,180,184,187,191,193,193,196,198,199,199,198,198,198,197,196,196,195,194,192,191,190,188,188,187,160,167,173,179,184,186,189,194,196,196,199,201,201,201,201,202,201,200,199,197,198,197,194,193,193,190,190,189,162,170,174,180,185,188,192,196,196,200,201,202,204,203,203,202,204,205,204,200,195,194,195,197,194,192,192,191,164,170,175,182,186,191,192,196,197,202,202,205,208,210,208,204,199,192,188,162,185,223,166,194,199,196,193,191,167,172,179,184,189,192,195,199,200,202,205,204,198,186,179,182,178,162,164,146,173,197,130,187,196,194,198,194,168,173,181,187,190,194,197,199,199,199,191,176,158,131,147,167,172,144,129,117,109,132,138,209,223,136,196,198,171,177,184,189,193,196,191,166,160,161,161,159,149,137,116,122,105,106,137,140,137,146,163,195,187,109,196,201,171,178,185,190,197,203,182,160,161,152,139,141,146,128,112,105,127,167,192,169,153,143,121,99,118,171,205,199,172,179,184,193,208,194,173,169,160,124,125,152,169,146,139,127,126,147,153,128,100,85,105,148,190,210,203,202,173,179,191,200,187,182,182,177,135,85,111,130,134,118,116,113,88,95,83,90,124,170,211,216,211,205,205,203,174,188,199,192,189,185,172,176,148,96,92,74,60,49,51,62,76,112,164,201,220,220,211,209,208,208,206,205,194,201,197,197,193,173,167,164,167,140,82,50,20,84,156,164,195,221,226,218,213,212,215,215,212,210,210,208,204,198,193,187,176,169,169,170,167,137,90,60,51,81,190,238,223,221,219,218,217,216,214,214,213,212,212,211,204,195,180,172,165,160,151,146,138,112,83,52,59,53,32,155,232,219,222,220,220,219,216,215,214,213,213,212,196,179,169,160,151,145,138,131,127,114,80,42,47,76,52,66,230,223,224,222,221,221,220,218,216,215,214,213,186,180,160,154,143,140,138,136,136,134,88,43,34,61,56,77,234,224,224,223,223,222,221,221,218,216,213,212,81,155,158,152,145,140,135,134,136,123,80,50,49,28,32,41,175,238,222,224,224,222,222,222,221,218,215,213,5,32,123,161,151,144,133,123,109,88,68,64,60,44,31,23,146,244,223,227,226,224,223,222,221,220,218,217,17,0,8,113,160,141,129,115,102,82,70,62,66,46,68,119,216,233,229,229,228,227,225,223,222,222,220,218,9,6,0,4,110,122,102,86,81,56,34,51,55,56,213,244,232,232,232,230,229,227,225,224,223,221,221,219,3,0,0,0,12,64,62,69,53,16,15,32,70,193,244,228,232,233,232,230,229,228,227,225,224,222,222,220,0,0,0,0,0,0,1,191,149,44,82,134,217,242,232,234,233,234,233,231,230,230,229,226,225,224,222,221,0,0,0,0,0,0,168,237,230,222,231,243,237,234,236,234,234,234,234,233,232,232,231,228,227,226,223,222,28,0,0,2,0,153,238,220,228,234,233,231,235,237,237,237,234,237,236,234,234,231,231,229,228,226,224,223,13,22,0,0,44,234,216,224,228,229,232,234,236,237,237,237,235,235,235,233,233,231,231,229,228,225,224,223,0,1,0,0,80,236,216,224,226,228,231,232,234,233,233,236,236,234,233,233,232,231,230,229,226,223,224,224
12,199,201,201,202,202,203,204,205,204,205,205,205,206,206,206,206,206,206,207,206,205,205,205,206,205,205,205,204,200,201,203,204,204,204,206,206,205,206,206,206,207,207,207,207,207,207,207,207,206,205,206,207,206,206,206,205,201,201,203,205,205,206,207,208,207,207,208,208,208,208,208,209,209,209,210,209,207,208,207,207,207,207,207,206,202,203,204,205,206,206,209,209,207,208,209,209,209,208,209,210,210,211,210,209,209,210,209,209,208,209,208,208,204,205,206,206,207,207,209,210,209,208,209,211,209,217,210,206,212,210,211,213,210,211,210,210,210,210,209,209,206,206,207,208,208,209,209,211,209,217,220,206,217,231,219,179,190,220,212,199,212,211,212,212,211,211,211,210,206,207,208,209,210,211,211,208,222,248,234,193,206,238,223,165,145,222,214,166,184,216,211,213,212,213,213,212,206,207,209,211,211,211,213,206,230,251,237,192,195,243,222,172,137,219,206,165,141,214,215,214,213,213,214,213,207,209,211,211,212,213,212,209,235,249,238,191,192,245,218,185,161,223,192,152,126,201,220,215,215,214,214,213,208,210,211,211,213,210,224,234,210,221,237,216,174,241,227,184,178,224,200,148,119,192,222,215,216,216,216,215,209,211,212,212,213,214,249,235,190,180,215,205,154,230,225,156,182,230,187,140,117,187,225,216,217,217,216,215,210,212,214,215,210,232,251,238,210,160,191,164,122,164,168,131,188,196,144,121,116,185,226,217,219,218,217,217,212,214,214,216,212,242,249,243,217,175,162,160,112,107,122,191,212,191,152,154,140,188,228,218,219,219,218,217,213,214,217,215,217,245,227,241,221,196,148,131,139,123,190,248,242,222,193,192,162,190,228,219,220,219,219,218,213,216,217,214,223,251,236,221,222,198,160,130,131,179,251,246,238,222,196,184,154,174,230,221,221,219,220,219,215,217,217,214,236,251,241,202,217,198,170,136,126,238,251,246,238,222,200,173,144,174,231,222,223,220,220,221,216,217,219,214,240,251,246,225,202,197,208,160,159,251,248,246,237,219,190,169,139,177,232,222,224,222,222,222,217,218,221,216,233,251,247,229,199,180,200,193,220,251,247,246,236,214,188,166,142,160,230,223,225,224,223,223,218,218,221,217,235,251,249,234,221,208,192,229,247,251,244,245,236,210,192,161,140,153,232,225,224,225,224,223,219,219,221,218,237,251,250,243,234,230,215,230,239,251,239,239,231,213,187,159,130,172,235,225,225,225,225,225,219,220,223,219,235,251,250,248,240,232,220,225,231,249,236,228,223,213,177,153,127,209,230,226,227,226,227,225,219,221,223,222,228,251,251,250,242,227,218,225,226,242,231,220,219,204,168,135,153,234,225,227,227,227,228,226,219,220,223,223,223,246,250,247,238,221,212,221,222,232,224,216,210,186,152,122,203,234,228,229,229,228,228,227,220,223,225,228,226,245,251,242,234,221,217,225,230,243,232,217,200,169,126,155,236,229,230,229,229,229,229,228,219,214,210,205,193,202,198,176,173,171,170,175,171,177,166,157,153,140,118,218,245,231,231,231,231,230,231,229,170,167,159,152,136,127,124,119,112,105,100,97,86,85,85,83,83,86,90,133,190,232,232,230,230,230,230,230,152,153,154,147,137,130,128,121,115,109,105,97,90,88,88,86,82,80,77,70,74,214,234,229,230,230,229,229,165,152,154,145,136,129,125,119,114,105,101,96,89,87,87,85,80,77,80,69,125,236,228,231,230,229,229,229
6,197,199,201,202,202,202,203,203,202,202,202,200,200,199,199,200,198,197,196,195,194,193,192,192,191,189,187,185,199,200,202,204,205,204,204,204,204,204,204,204,202,200,199,200,198,198,197,196,196,196,196,193,193,191,189,187,199,201,203,205,206,206,207,206,206,204,204,204,203,202,201,201,200,199,198,197,197,196,195,193,193,192,190,189,200,202,205,205,206,208,207,207,208,207,206,206,204,204,203,201,202,202,199,199,199,197,196,195,195,193,192,191,202,204,205,207,208,209,209,208,210,208,207,207,207,206,205,204,205,203,200,197,197,196,197,193,192,190,185,189,203,205,206,209,210,210,211,210,210,210,211,210,208,204,199,195,191,191,188,167,172,184,183,169,180,173,190,215,205,206,208,210,211,211,210,211,210,209,198,190,192,194,188,191,192,193,183,179,172,192,190,175,182,178,182,204,205,207,209,211,211,212,211,210,214,214,190,173,183,194,196,200,201,199,183,167,167,163,163,151,144,144,136,144,206,209,210,211,212,213,213,209,224,222,197,185,176,176,177,172,169,162,154,144,120,120,109,126,154,159,176,189,208,209,211,212,213,213,214,212,232,226,212,197,179,168,163,156,150,140,126,108,84,73,86,190,208,203,202,198,210,210,212,212,214,216,212,223,236,231,221,189,159,156,162,169,165,159,149,143,140,100,167,210,198,199,198,197,210,211,213,213,215,217,212,232,239,235,211,161,142,151,155,165,169,165,156,147,149,114,174,210,202,201,200,197,210,213,215,215,216,215,215,240,234,232,183,149,156,151,141,147,163,150,144,144,132,99,182,209,204,202,200,199,211,213,216,216,218,210,225,239,232,231,202,187,169,154,133,140,165,156,153,154,129,124,211,206,205,203,201,200,212,214,215,217,216,215,235,234,234,236,233,218,176,152,161,168,166,157,146,135,134,119,192,210,204,204,201,200,213,216,216,219,211,225,237,236,236,231,231,221,167,142,151,155,156,150,136,128,127,102,191,210,205,204,203,201,212,215,216,215,212,230,235,237,232,227,223,205,166,147,141,133,139,144,141,135,110,132,212,207,206,206,203,199,211,212,216,203,219,233,234,234,226,221,215,211,194,175,139,110,126,144,139,136,104,171,215,204,206,204,200,202,211,216,208,199,230,233,234,228,228,228,218,214,221,199,151,129,146,161,147,128,116,124,210,206,204,204,209,191,213,217,198,214,230,232,230,229,232,224,214,222,220,185,139,128,136,134,125,115,100,120,210,209,213,206,155,95,215,205,207,226,228,228,225,220,216,212,213,219,200,162,134,131,127,117,108,104,112,191,218,201,156,105,67,61,211,200,219,223,227,220,212,208,201,205,202,187,166,142,131,119,109,148,158,176,197,180,135,90,61,59,60,59,200,207,221,221,223,212,201,199,196,193,190,168,148,137,141,128,154,185,157,136,101,73,49,44,52,57,54,53,190,219,219,219,209,199,188,184,193,186,176,165,155,139,116,90,84,64,53,50,52,60,37,41,47,52,50,51,204,222,219,215,205,197,183,176,176,169,157,148,128,102,76,56,46,51,50,54,58,50,29,36,41,47,49,47,217,220,217,209,200,182,164,163,154,137,125,112,89,65,56,64,43,41,45,49,54,45,25,32,38,46,47,44,221,219,215,212,186,155,153,149,140,126,97,74,60,50,50,61,48,34,46,46,48,40,23,31,39,47,45,45,221,218,213,205,159,148,166,154,132,109,67,57,49,46,46,55,49,37,45,37,45,35,23,32,40,46,41,41
6,195,198,200,202,204,205,206,208,207,207,207,206,205,203,202,202,199,198,196,195,194,192,188,186,185,183,180,178,195,197,202,205,206,207,207,208,209,210,208,206,205,205,205,204,203,200,197,197,196,195,192,189,187,185,182,180,198,202,206,207,207,208,211,212,212,212,210,209,210,207,205,204,204,203,201,199,197,196,195,191,189,186,184,182,199,203,207,208,209,211,212,214,213,213,212,211,210,209,207,206,205,205,204,202,200,197,195,193,190,188,187,185,201,205,209,209,211,214,213,213,215,214,214,212,212,211,211,209,207,206,204,203,201,198,197,194,191,189,188,186,201,206,209,211,213,214,214,215,215,215,215,215,215,213,211,210,208,206,204,205,203,201,199,199,195,190,190,187,202,206,210,212,214,214,215,215,215,215,215,214,215,214,213,214,215,214,211,208,208,207,204,196,191,186,184,186,204,207,210,213,215,215,214,216,216,217,221,221,222,220,215,207,196,179,163,145,129,140,142,131,115,136,167,147,204,209,212,213,214,216,219,223,221,217,202,183,169,163,156,149,139,130,118,107,95,112,109,114,111,114,131,107,205,209,214,217,219,213,198,183,174,162,142,129,122,126,131,142,140,131,106,96,85,80,81,88,84,85,110,155,210,213,210,198,183,154,139,138,135,132,128,110,86,91,97,84,81,83,89,103,121,142,155,167,173,185,198,199,186,166,153,151,150,143,140,141,139,137,135,121,73,49,38,100,152,174,197,211,220,219,215,212,209,203,197,193,159,150,154,159,157,153,150,152,151,151,147,129,78,59,52,163,221,236,228,215,210,207,206,206,203,200,198,197,163,160,155,153,150,146,143,138,141,145,130,93,60,63,73,60,72,122,191,224,213,212,210,207,204,201,198,197,166,160,155,151,147,141,134,129,124,121,105,75,60,67,76,77,71,53,53,153,223,212,210,207,205,202,201,199,162,156,151,146,143,134,130,126,123,131,127,90,50,42,61,82,85,82,62,71,220,213,213,210,206,204,202,198,154,148,143,136,131,127,125,118,122,137,140,95,55,46,39,35,49,71,46,117,227,213,212,211,207,205,203,200,149,143,131,123,124,120,117,105,107,118,100,70,62,67,67,52,29,54,141,216,220,216,214,212,209,206,204,202,133,133,125,115,111,108,103,92,88,95,75,48,51,65,69,66,51,76,229,222,218,215,213,212,210,207,204,203,121,129,123,114,106,103,101,96,100,105,83,40,28,45,62,71,56,43,203,223,216,216,213,212,211,209,204,202,105,121,124,120,110,98,94,99,111,104,76,54,59,56,42,45,62,141,228,220,220,218,216,213,211,208,204,203,63,79,96,108,104,94,89,87,84,67,53,50,53,57,32,92,217,231,223,222,220,217,216,214,212,208,205,204,0,81,144,101,78,83,89,97,99,116,142,138,96,67,89,200,237,221,225,223,221,219,216,214,213,212,208,204,0,170,241,217,201,210,218,225,230,238,241,241,234,218,235,231,222,224,223,221,219,217,215,212,211,210,207,203,38,215,215,219,226,226,226,227,228,226,225,225,227,230,226,223,223,222,222,220,217,215,213,210,208,207,204,202,154,223,215,217,220,222,223,226,229,229,229,229,228,227,226,224,223,222,221,220,217,215,212,210,209,206,205,203,215,212,217,219,221,223,225,227,229,229,229,229,229,229,227,225,224,222,220,220,217,215,213,211,208,205,203,202,205,213,217,219,221,223,225,226,227,228,228,228,228,228,228,226,222,221,220,219,217,215,212,208,208,205,202,201
18,193,194,195,195,195,196,197,197,197,197,197,196,195,194,194,194,193,193,192,192,190,189,189,188,186,186,185,184,195,195,196,196,197,198,198,198,198,199,198,197,196,195,194,194,194,194,194,192,192,191,190,189,187,187,186,185,195,196,197,197,198,199,199,199,199,199,200,199,198,199,201,198,196,198,199,198,192,192,193,191,188,187,186,185,196,197,198,198,200,200,200,201,201,200,200,199,201,191,172,191,201,179,158,172,199,194,185,191,192,188,187,187,196,198,200,200,201,201,201,202,202,202,203,204,203,177,141,135,175,169,141,115,170,173,145,139,181,192,189,189,197,198,201,201,201,202,203,203,203,198,175,177,200,181,157,132,138,195,148,131,117,150,145,115,130,197,189,190,199,200,201,202,202,202,204,202,206,199,166,151,155,191,163,142,126,186,154,141,135,132,141,130,104,179,194,188,201,202,202,203,204,204,204,205,207,203,186,173,144,159,179,145,123,150,166,152,147,140,154,142,103,173,197,190,201,202,202,203,204,205,206,206,206,192,198,173,160,129,166,152,130,128,169,160,151,150,149,136,103,176,197,192,202,202,203,203,204,206,206,207,212,173,171,175,150,109,144,158,129,115,156,150,147,146,147,138,102,167,200,192,202,202,203,204,205,207,206,209,206,156,134,175,129,101,130,139,114,104,142,121,133,171,165,143,107,153,203,193,202,203,205,205,207,207,206,211,203,173,148,166,130,105,122,122,107,99,122,107,116,188,171,150,114,138,204,193,203,205,205,206,207,208,206,212,208,191,161,154,144,112,120,131,111,97,122,109,99,168,178,158,125,120,202,195,204,205,206,207,207,208,207,212,208,182,157,138,128,103,121,137,108,96,115,142,173,173,191,168,134,107,191,198,205,205,207,208,208,209,208,213,196,167,150,134,117,105,108,112,102,108,138,185,191,180,176,166,132,101,181,202,206,206,207,208,208,210,209,212,205,186,166,146,127,124,119,118,135,159,186,194,187,182,162,148,124,101,186,201,206,206,207,208,209,211,210,212,209,193,172,147,127,123,129,143,164,183,200,199,183,169,154,133,110,117,203,198,206,207,207,208,210,211,211,212,210,197,177,155,138,132,132,141,178,195,204,195,174,161,147,127,94,151,208,197,207,208,208,210,211,211,212,212,209,200,182,163,147,140,135,150,193,200,199,188,169,154,142,119,98,188,204,199,207,209,209,210,212,211,213,211,206,197,180,164,153,145,140,158,200,195,191,181,165,148,136,106,121,208,201,201,207,210,210,210,211,211,213,211,200,190,182,167,156,155,145,163,195,192,183,169,159,143,129,95,155,211,200,201,208,210,210,211,211,213,213,213,201,191,184,171,162,163,149,168,189,189,179,160,150,136,118,97,190,205,201,201,209,210,211,213,214,214,214,216,208,189,184,177,168,161,146,164,186,181,173,156,139,128,100,127,212,201,202,202,209,211,211,213,214,214,215,216,213,195,189,182,172,160,146,153,177,172,162,146,130,118,91,181,210,204,203,202,210,211,212,213,214,214,215,216,216,205,193,183,175,166,155,151,165,165,152,137,125,97,124,214,204,205,204,203,210,210,212,214,214,215,215,215,214,211,200,186,173,163,157,152,159,160,146,132,115,90,182,212,206,205,204,203,211,211,213,213,214,216,215,215,214,213,203,184,173,170,168,164,156,154,141,128,100,129,215,205,207,206,205,204,212,213,213,214,214,215,215,216,213,212,203,187,183,181,170,163,151,150,136,119,96,175,215,207,207,207,205,204
8,159,161,163,163,165,166,167,168,167,167,166,166,165,165,165,165,165,164,164,161,160,160,159,159,159,157,155,153,160,163,165,166,167,168,168,168,168,168,168,168,168,167,167,167,166,166,165,164,163,162,160,161,160,159,157,156,163,165,167,167,169,169,171,170,170,170,171,170,168,170,168,168,168,167,166,166,164,164,163,163,162,160,158,157,165,167,168,171,172,171,171,171,172,172,172,172,169,164,171,169,168,168,168,168,166,165,165,164,164,162,159,159,166,169,170,171,173,173,173,173,174,174,169,181,183,121,161,174,170,169,169,169,167,166,167,165,164,163,161,160,169,171,173,172,173,174,175,175,176,175,170,195,171,94,150,177,171,172,171,170,168,168,167,166,165,163,164,163,171,172,174,174,174,176,177,177,177,177,173,200,145,89,161,178,173,174,173,171,170,169,167,167,167,165,165,164,171,173,176,177,176,178,179,178,179,178,179,200,133,92,174,178,175,175,174,172,171,171,170,169,168,168,166,165,175,174,176,178,178,178,179,180,181,177,187,203,131,104,177,178,176,174,174,174,172,172,171,170,169,168,166,166,176,176,178,179,180,180,182,182,183,178,194,189,111,109,181,178,178,177,176,174,174,173,172,171,170,169,168,167,176,179,179,181,182,182,182,184,184,178,199,187,112,121,185,178,178,174,180,175,173,174,174,173,171,171,169,169,179,181,181,184,186,185,185,186,187,180,208,186,138,137,180,179,191,133,142,187,179,178,173,173,173,173,171,169,180,182,183,185,187,187,188,187,188,185,209,179,151,146,188,199,194,139,96,127,130,165,182,179,174,174,172,171,180,183,185,186,187,187,188,189,189,188,206,185,166,156,203,200,194,171,129,78,79,92,166,156,180,174,174,173,183,185,187,188,188,189,190,192,188,199,216,179,166,172,195,179,187,189,150,139,107,69,103,77,120,184,172,174,185,186,188,191,191,191,192,193,189,210,200,163,157,152,192,166,121,178,169,166,127,73,75,77,57,163,179,173,186,188,190,192,192,192,194,189,197,207,165,134,145,135,179,148,91,98,172,156,123,71,47,68,53,131,188,174,189,191,192,194,194,193,194,192,218,208,175,138,119,108,172,169,132,54,187,169,130,78,44,61,62,161,184,176,188,192,193,194,195,197,192,207,226,200,166,137,120,94,165,175,114,60,167,184,131,81,54,47,115,189,179,179,189,192,195,195,197,197,194,222,222,192,156,132,123,83,91,140,116,106,169,190,133,83,48,99,186,183,182,181,191,192,194,195,198,196,202,227,206,174,163,145,123,93,164,194,185,181,171,174,129,73,90,192,186,185,185,182,192,193,195,197,197,199,215,224,196,183,166,130,114,175,217,203,176,185,157,140,121,77,96,200,185,188,186,183,193,194,197,197,205,178,214,223,194,191,155,121,169,212,201,185,156,171,146,113,116,73,125,198,186,186,187,185,194,195,198,199,205,98,129,227,198,191,141,164,206,211,191,175,152,157,145,93,93,71,187,193,188,188,187,186,194,196,197,210,135,75,68,123,191,180,147,171,196,199,185,172,140,143,133,90,56,129,205,190,192,190,188,186,195,197,207,174,80,75,77,65,88,131,135,163,179,186,176,159,134,138,107,64,67,194,195,193,193,191,189,187,196,201,193,95,76,74,70,78,49,36,68,85,112,144,150,140,132,114,75,46,160,205,194,195,194,192,191,188,196,199,122,73,76,71,68,68,71,21,40,44,41,48,67,80,81,66,42,125,208,195,196,196,194,193,190,188
11,146,149,152,155,158,159,161,162,163,163,162,162,163,161,161,159,158,157,156,155,153,152,151,149,147,147,145,142,149,152,154,158,160,161,163,164,165,166,165,164,164,164,164,162,161,160,158,157,155,155,154,152,150,148,146,145,151,155,157,160,163,164,165,166,167,168,167,166,166,165,164,163,163,162,160,158,158,157,155,154,152,151,148,146,153,156,159,161,164,165,168,168,167,170,169,170,169,167,166,165,159,161,165,161,159,159,157,155,154,153,151,148,155,158,161,163,165,168,171,171,169,170,170,170,170,170,167,174,157,100,161,163,160,161,161,157,157,156,152,150,156,160,162,164,168,170,171,171,171,172,172,172,171,171,168,180,166,73,135,172,162,163,163,161,160,157,154,153,158,161,165,167,169,170,172,174,173,173,173,174,173,172,169,180,159,81,128,176,163,163,164,163,160,158,156,155,160,163,167,169,170,172,176,176,177,176,176,175,175,175,169,187,172,91,127,178,166,164,163,163,162,159,157,155,161,164,167,171,171,175,178,178,178,178,177,175,176,178,170,195,182,99,116,180,167,166,165,164,163,160,159,158,164,167,169,171,174,176,178,179,178,178,178,178,177,178,172,197,165,87,115,181,167,167,167,167,164,162,159,158,165,168,170,173,176,178,179,179,179,179,179,178,181,184,180,197,157,80,120,182,168,170,169,168,166,164,161,159,166,169,173,177,179,179,180,180,181,182,187,187,169,131,158,203,154,86,130,182,170,171,171,169,168,166,164,161,169,170,175,178,179,181,182,187,191,176,142,160,157,96,83,173,127,74,143,183,172,172,171,171,169,167,164,162,170,173,175,178,182,182,183,147,156,170,106,58,137,122,56,65,73,56,166,181,175,174,172,171,170,168,164,163,171,175,177,179,182,188,187,133,71,154,123,54,137,119,54,41,47,77,186,177,177,176,176,175,174,173,168,164,172,176,179,183,181,201,194,163,68,131,133,54,125,99,51,44,43,89,190,178,179,176,171,165,154,151,167,170,175,177,180,182,192,214,198,158,72,88,112,45,106,94,47,33,30,83,193,178,179,172,160,151,125,108,106,143,176,179,182,181,204,196,175,156,78,52,96,47,129,108,58,26,36,90,195,171,183,181,142,107,78,72,52,73,178,179,185,183,208,211,180,144,59,72,116,51,170,157,75,35,55,84,166,176,176,125,57,44,91,120,112,129,178,181,186,185,213,215,183,122,80,102,184,83,161,156,52,50,97,110,152,167,126,51,57,155,187,183,180,176,178,182,186,184,216,210,166,140,131,88,211,103,56,114,87,113,115,107,127,108,50,72,178,186,177,174,172,170,178,182,186,185,212,207,181,158,122,106,152,94,106,159,152,128,105,87,86,45,61,186,185,178,179,176,174,171,180,184,187,186,205,207,191,165,147,165,174,180,158,142,131,113,100,71,43,52,171,190,182,182,181,178,176,173,181,185,189,188,199,202,185,162,133,133,153,160,143,138,114,105,91,36,71,174,192,185,185,184,183,178,177,175,180,185,185,193,198,194,178,136,110,130,146,139,133,117,105,93,42,87,193,195,186,187,186,184,183,179,178,176,178,189,79,44,172,179,159,128,132,142,139,128,114,96,66,45,112,199,192,189,188,185,185,184,182,179,176,174,191,131,26,15,74,158,171,166,157,131,129,107,77,36,72,172,202,192,191,191,188,186,185,184,182,179,177,174,180,60,27,37,24,60,133,147,135,118,105,83,45,42,191,205,192,193,192,190,188,187,186,184,182,179,177,176
18,178,180,181,184,186,188,188,188,191,191,192,192,192,190,189,190,189,188,188,186,187,186,185,186,183,182,181,180,180,182,184,186,187,190,191,191,194,193,194,196,196,194,192,193,192,190,189,190,191,189,187,185,187,186,184,184,185,185,187,188,192,192,193,194,193,195,195,196,195,195,195,194,194,193,192,191,192,190,190,189,189,187,186,185,186,187,190,192,194,194,196,195,196,196,196,196,196,196,196,196,195,196,194,194,193,193,195,189,190,188,187,187,186,188,191,193,195,196,196,196,196,198,197,198,198,198,199,198,197,197,197,195,194,191,186,193,191,191,189,188,188,189,193,195,196,197,198,198,199,200,199,200,201,200,202,200,198,196,198,192,222,171,127,202,192,193,192,190,191,194,194,196,196,197,201,202,201,202,202,202,202,202,201,201,205,205,198,202,244,173,74,188,198,194,193,192,192,195,196,197,199,201,203,205,204,205,204,204,205,203,208,184,146,178,164,153,242,201,87,129,211,193,196,195,194,195,198,200,201,204,205,206,205,207,206,207,206,206,229,209,145,114,127,152,242,215,130,61,172,207,193,197,195,197,200,203,203,205,205,207,209,210,210,207,212,194,143,178,192,136,93,129,213,213,151,107,87,180,204,196,196,198,201,204,204,206,207,210,211,210,208,223,220,189,139,76,162,155,97,66,112,181,166,133,95,86,208,199,197,201,202,205,206,208,210,211,213,207,233,245,240,197,161,100,96,155,92,53,43,124,193,137,110,62,194,205,200,203,204,206,209,210,210,212,211,216,242,219,250,203,166,116,59,93,75,47,27,153,205,164,117,70,197,204,202,203,206,208,212,212,212,216,210,246,244,191,222,190,175,114,60,60,64,49,28,123,203,181,121,64,193,207,203,204,207,210,212,212,215,212,232,243,222,197,209,154,129,90,56,83,56,29,30,125,192,186,126,63,194,209,204,207,210,211,213,215,213,219,255,229,183,153,191,102,84,71,74,107,51,76,104,144,194,169,115,59,193,214,205,209,210,211,214,216,215,222,255,245,210,152,125,119,110,26,73,116,151,186,190,142,148,141,112,53,181,215,206,209,211,214,216,220,216,232,255,248,224,167,111,129,99,0,135,220,220,192,173,153,101,120,115,54,165,220,208,211,212,215,218,222,216,247,255,245,200,157,140,126,79,102,245,230,214,186,144,145,108,96,105,49,180,222,211,213,215,216,219,220,221,253,255,233,183,171,138,98,105,220,234,222,201,178,145,129,115,85,73,79,217,212,210,212,214,218,220,219,226,255,255,226,186,179,138,103,181,241,226,211,195,174,140,120,107,83,46,158,225,210,212,213,214,217,220,221,229,255,253,227,193,200,133,159,197,228,221,199,189,168,124,111,95,65,64,216,216,215,214,214,216,219,221,221,231,252,246,226,211,192,140,143,197,202,209,185,176,148,115,98,87,41,134,233,215,218,214,215,216,220,222,221,230,251,244,230,219,171,128,126,179,188,185,178,162,134,106,87,61,58,213,221,219,219,214,216,218,220,223,222,235,246,240,236,200,141,106,144,162,180,175,161,146,115,89,70,31,158,233,218,222,221,216,218,220,219,223,223,240,237,224,215,175,138,132,156,163,174,170,148,129,100,77,35,110,231,218,221,223,220,216,218,222,223,223,222,250,249,246,228,213,191,167,145,162,174,157,127,104,88,45,83,227,223,222,222,222,221,214,221,214,204,224,229,255,249,247,232,209,186,165,133,147,166,137,109,94,63,59,208,230,224,223,223,223,223
4,184,186,187,187,188,188,190,190,189,189,191,191,191,192,192,191,191,190,191,191,191,191,191,190,191,191,190,189,186,187,188,188,189,190,190,191,192,191,191,191,193,193,193,193,194,196,193,193,193,193,193,193,192,193,193,192,188,189,189,190,191,192,193,192,193,193,192,191,191,194,197,186,165,174,196,194,196,193,194,194,194,194,194,194,189,189,190,191,193,193,194,194,193,192,195,180,165,175,219,194,164,122,188,200,196,199,194,196,195,194,195,196,191,191,192,194,194,195,194,195,196,199,221,193,185,153,213,205,175,137,144,176,164,175,202,197,198,196,197,197,193,194,193,195,197,196,195,194,186,189,219,219,185,156,180,216,172,146,101,168,163,125,179,204,198,200,199,199,194,195,195,197,199,197,197,204,199,189,160,208,201,164,156,217,179,145,95,172,173,131,122,207,200,202,201,201,194,196,197,198,200,196,202,218,210,199,134,137,207,157,133,216,187,142,90,172,176,137,103,198,204,202,202,203,196,198,198,199,200,197,207,199,193,185,126,113,177,155,129,178,165,122,91,178,173,131,100,197,207,204,204,204,198,199,201,201,201,199,208,200,175,185,122,98,176,164,142,143,128,92,88,175,156,108,111,206,206,204,205,205,198,200,201,202,203,200,204,207,166,176,139,103,161,176,171,157,157,131,97,141,132,100,114,212,205,207,206,206,199,200,202,202,205,203,204,219,199,165,150,108,118,188,196,197,186,170,127,100,114,97,129,217,205,209,207,208,201,201,203,204,206,205,206,219,202,171,132,95,90,156,191,197,196,168,128,92,98,92,147,220,207,208,208,209,201,202,204,206,207,204,208,218,183,148,131,114,95,85,137,182,186,162,132,105,96,90,160,221,208,209,209,209,203,204,206,206,205,203,211,211,179,150,129,113,99,97,101,126,168,167,150,117,100,85,164,219,208,211,210,209,204,205,206,207,206,205,212,219,193,163,139,124,113,106,126,111,166,192,166,132,109,84,173,220,210,212,211,210,204,205,206,207,208,206,214,217,192,150,128,123,113,103,132,169,204,207,189,153,122,87,164,223,210,212,212,211,205,206,206,207,208,207,216,216,185,155,135,122,129,117,155,206,220,210,204,165,132,102,126,224,211,213,213,213,206,207,208,208,210,209,216,213,188,157,142,132,152,128,181,221,225,208,187,157,133,108,128,224,212,214,214,214,207,207,208,209,210,210,217,210,189,160,150,152,151,142,201,223,218,203,181,145,129,100,151,226,215,216,214,215,207,208,209,210,210,210,212,209,187,167,158,156,147,148,208,222,205,184,170,133,117,95,180,223,215,216,214,214,208,209,210,210,211,211,210,206,183,164,148,167,145,149,208,218,192,167,154,124,108,103,206,219,216,216,213,214,207,209,211,211,213,213,209,202,187,164,168,184,141,150,213,209,181,155,138,116,104,126,223,216,217,217,217,216,208,210,211,211,213,214,211,198,188,173,166,183,148,150,214,187,168,145,125,112,97,164,227,217,219,218,218,218,208,209,209,210,212,213,213,203,193,176,163,178,152,155,202,173,156,130,117,110,100,198,224,218,219,218,218,218,207,207,208,209,211,211,206,215,202,178,163,161,145,140,193,166,139,124,113,106,115,217,218,219,219,219,219,219,208,208,208,209,212,204,207,222,201,175,160,144,127,134,171,146,123,117,113,96,159,225,217,219,219,219,219,219,208,209,210,211,212,200,218,214,199,186,165,134,130,146,166,121,123,112,106,118,210,220,218,218,218,218,218,218
11,114,118,123,129,133,135,139,142,144,146,147,151,160,139,152,150,150,151,150,150,150,149,148,149,133,152,161,165,117,123,128,133,136,140,143,146,149,151,150,155,174,111,149,155,152,152,151,150,150,149,149,146,146,165,166,170,121,125,132,139,142,145,149,152,154,155,155,160,192,107,135,162,155,155,155,154,153,152,151,147,164,122,163,173,124,129,137,142,147,149,153,157,159,161,160,167,195,104,124,169,160,160,159,158,158,157,155,153,154,158,175,171,127,133,141,147,151,154,159,163,165,167,166,173,189,99,127,174,164,165,164,163,162,161,160,157,156,161,139,166,130,135,145,152,156,160,164,168,170,172,171,182,194,102,133,179,169,170,170,169,168,165,163,161,161,153,138,169,133,139,149,156,161,165,169,172,174,178,173,199,188,88,145,184,175,175,175,174,172,170,168,166,164,162,160,174,136,143,154,160,165,169,173,177,179,183,178,213,187,86,162,187,180,180,180,178,177,175,173,170,168,166,164,181,139,146,158,164,168,172,177,181,184,184,187,193,132,91,168,190,184,184,183,183,182,180,178,175,173,171,167,184,142,150,160,167,172,177,181,185,187,184,215,189,103,87,173,193,188,187,187,187,186,184,183,180,177,174,172,185,145,152,164,171,175,179,184,186,192,192,141,158,132,95,181,195,191,190,191,190,189,187,185,184,180,180,175,183,146,155,167,173,178,183,186,194,226,189,97,96,146,103,174,200,194,194,194,192,192,190,189,185,189,163,104,193,148,158,169,176,180,183,194,159,160,170,131,93,136,106,154,205,195,197,197,196,194,194,194,190,197,119,66,126,150,160,171,178,181,198,211,151,95,116,157,104,109,111,128,207,197,199,199,199,194,184,173,171,164,86,76,68,151,162,173,178,201,205,179,175,146,96,130,112,93,123,101,198,203,202,197,190,190,174,155,154,133,87,76,75,153,165,173,202,206,152,115,151,170,110,92,103,84,145,121,172,209,196,196,195,194,170,146,129,108,78,70,72,155,166,176,210,186,135,105,88,157,114,85,107,72,137,152,108,166,199,204,187,155,125,90,65,64,65,63,70,155,167,176,202,167,117,93,70,131,124,89,119,76,102,144,115,168,195,178,135,99,77,57,60,60,59,64,60,156,169,175,193,163,122,101,83,101,129,98,131,100,145,154,136,161,157,118,75,58,72,68,52,56,58,67,40,156,168,174,196,180,137,111,94,92,108,121,144,139,184,153,119,130,98,56,65,56,58,70,62,48,50,51,48,157,170,176,199,184,146,126,101,102,111,160,196,198,173,134,115,91,64,51,54,65,52,58,66,56,48,47,49,158,171,178,199,189,160,134,107,115,119,183,204,184,155,121,99,44,51,67,46,59,62,51,55,61,49,47,47,152,162,170,193,188,166,137,117,123,122,177,191,164,133,111,87,45,36,64,59,48,60,57,49,53,55,42,47,114,117,112,151,187,172,144,131,127,125,159,180,156,124,101,68,60,31,52,65,54,52,58,51,45,55,45,40,115,115,113,124,179,175,150,141,130,119,149,165,146,115,73,44,69,35,38,61,59,54,52,51,43,47,50,38,116,117,117,119,177,173,154,144,130,109,134,136,118,87,46,38,66,49,27,53,62,53,51,50,45,42,44,45,116,117,118,118,178,180,158,143,127,111,117,118,88,44,48,42,57,62,30,39,61,55,49,51,48,43,40,41,116,117,119,110,167,180,145,130,122,113,115,106,72,41,29,46,50,66,44,29,52,57,47,48,49,43,42,38
4,166,166,167,168,168,167,166,166,164,165,165,163,163,162,163,161,158,158,158,156,154,155,154,152,153,151,149,147,169,168,169,169,170,168,166,166,166,166,164,163,165,161,162,163,162,162,159,158,157,155,154,154,152,153,152,149,170,171,171,171,170,168,168,169,169,166,165,165,163,162,163,164,160,161,161,157,156,157,156,154,152,152,153,151,172,173,172,173,172,172,172,171,170,171,169,167,167,170,167,165,167,163,159,159,158,158,157,155,155,154,154,152,174,174,173,173,174,173,172,169,164,154,161,170,140,130,160,160,143,145,166,160,162,157,156,157,155,156,155,154,175,175,175,176,175,173,176,183,149,128,76,100,133,77,51,129,124,60,86,177,164,165,158,159,157,157,156,153,177,177,176,176,176,170,190,197,158,116,52,24,117,77,10,86,117,57,14,65,90,114,162,159,160,158,156,155,179,179,179,178,172,183,197,164,171,92,33,30,110,57,3,82,106,47,23,0,23,17,76,168,157,158,156,156,180,179,180,180,175,186,196,149,168,95,77,24,118,107,0,69,143,83,25,0,22,11,27,169,157,160,160,156,181,179,181,182,178,184,184,124,154,155,125,29,155,148,1,68,202,112,27,0,76,46,54,172,159,162,161,159,181,180,181,182,175,194,213,173,131,144,84,28,155,118,0,53,184,100,25,34,117,106,45,154,165,162,162,159,182,181,180,183,180,207,196,163,127,88,40,6,54,34,54,155,111,99,111,97,108,97,34,85,178,160,163,160,183,183,186,184,186,201,172,138,99,70,56,39,10,0,75,188,123,111,133,118,112,93,73,39,151,168,161,162,183,183,186,181,191,222,195,163,129,67,35,27,22,27,19,113,126,105,123,112,87,126,120,44,91,178,159,163,184,184,187,184,196,222,195,173,121,59,44,31,20,22,30,59,70,84,109,42,88,157,138,81,36,172,164,163,188,187,190,185,205,220,198,174,111,57,56,34,23,31,52,70,81,115,134,110,105,155,150,90,14,135,174,164,187,189,189,185,207,218,199,147,106,73,55,38,19,63,113,148,160,165,151,162,123,98,114,77,13,85,181,162,188,190,190,186,205,218,194,147,121,64,48,61,103,158,172,173,159,157,136,119,126,73,68,58,25,49,179,161,190,191,190,190,210,215,189,152,129,92,90,125,158,177,168,167,154,141,125,104,105,74,54,54,32,27,177,165,190,190,193,186,192,213,194,162,147,108,109,148,146,184,165,157,145,136,120,98,84,66,47,47,2,67,181,165,192,193,198,78,42,77,140,179,143,110,97,141,140,156,152,143,145,123,91,79,71,46,30,1,32,170,171,169,192,207,157,15,22,8,16,36,36,32,44,94,121,136,140,136,126,99,72,67,47,28,0,12,160,178,173,173,195,205,75,17,18,18,17,0,0,0,0,0,15,52,87,125,111,89,66,45,24,0,10,155,181,171,175,173,212,144,14,23,13,12,15,1,0,0,0,0,0,0,0,9,43,53,35,12,0,24,162,185,174,177,176,175,202,58,14,13,3,2,11,8,0,0,0,0,0,0,0,0,0,0,0,0,59,178,185,177,179,178,177,176,122,14,24,3,0,3,10,0,0,0,0,0,0,0,0,0,0,0,0,36,209,180,180,181,178,179,179,175,36,18,0,33,31,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,141,196,180,182,181,180,179,178,15,5,0,23,61,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,63,208,179,185,181,180,179,179
3,58,52,9,39,60,71,79,88,95,99,102,105,108,110,112,114,116,118,121,121,123,125,125,127,128,129,128,129,64,48,10,44,64,74,82,91,96,101,105,108,109,111,113,115,118,117,118,124,124,126,127,128,129,130,131,131,69,44,12,48,66,75,84,93,97,102,106,108,110,112,115,117,119,126,87,118,127,127,129,129,129,130,132,131,70,35,14,51,67,76,84,93,98,103,107,109,111,112,116,118,122,138,81,105,131,127,129,130,131,132,133,133,71,27,20,53,68,77,85,94,99,104,107,110,111,114,117,119,125,136,78,104,131,128,130,132,132,133,133,134,71,21,27,56,69,78,87,96,100,105,109,110,113,116,119,119,128,139,79,109,132,128,131,132,133,134,134,134,69,16,31,58,71,79,89,97,101,107,110,113,117,115,115,116,136,130,76,111,134,131,133,133,134,135,136,135,66,13,38,60,73,80,91,98,103,108,109,111,112,140,127,97,129,110,71,113,136,133,134,134,135,136,136,137,61,12,43,62,75,83,92,99,104,106,124,130,103,118,147,109,87,101,69,121,135,134,135,135,136,137,138,138,53,13,47,64,75,84,93,101,105,103,130,157,136,90,115,119,90,111,75,130,133,135,136,137,138,139,139,139,45,15,50,66,76,86,95,100,107,141,127,98,128,106,84,140,121,105,69,126,137,134,137,138,139,140,140,141,37,18,53,67,78,86,96,99,115,151,139,100,81,118,81,84,96,110,72,90,138,136,138,139,140,140,141,141,28,23,56,68,80,88,98,98,123,129,93,117,103,103,108,51,73,123,117,80,108,143,138,140,141,141,142,142,21,29,57,71,80,88,99,98,129,124,68,82,84,76,85,81,77,110,131,84,104,146,139,141,141,142,143,142,14,34,59,71,81,90,100,99,131,124,105,84,62,74,85,97,82,115,132,79,118,146,141,142,143,144,143,144,10,39,61,72,81,90,98,99,140,135,103,76,67,83,102,103,91,133,137,79,129,144,141,143,144,144,144,145,10,43,62,73,82,90,99,101,139,125,89,73,75,92,111,113,127,146,127,77,133,143,142,143,144,145,145,145,12,46,62,74,83,91,100,101,137,131,100,82,77,97,117,134,152,137,114,75,134,143,143,144,145,145,145,146,15,47,65,76,83,92,100,100,136,137,107,87,82,96,127,154,152,124,92,82,143,144,145,145,145,145,145,147,19,50,65,76,84,93,101,100,133,143,119,91,88,100,142,153,146,124,76,88,148,142,145,145,145,145,146,146,22,51,66,76,84,93,101,102,127,143,121,102,95,104,148,152,138,119,70,98,149,143,145,145,145,146,146,146,25,54,66,75,84,93,100,104,117,134,124,116,106,108,143,144,128,112,66,116,149,143,145,145,146,147,147,147,29,55,68,76,84,94,99,105,110,129,130,121,116,105,130,131,117,97,69,134,145,144,145,145,146,147,147,147,32,56,68,77,85,94,99,105,109,133,135,124,112,99,113,116,110,90,83,146,143,145,146,146,147,147,147,147,35,57,69,77,85,94,100,106,109,143,140,121,107,97,108,106,110,78,113,148,142,145,146,147,147,148,148,148,38,57,69,77,85,94,100,106,111,151,139,123,111,102,114,105,97,75,136,143,144,145,146,146,147,148,147,148,41,59,69,77,85,94,100,105,114,150,146,134,109,113,121,98,75,86,144,141,144,145,146,147,147,148,148,148,44,60,70,78,86,94,99,105,114,151,153,136,108,119,114,92,64,97,146,142,144,145,146,147,148,149,150,149
12,193,195,195,196,197,198,199,200,199,200,200,201,201,201,201,202,202,201,202,201,200,201,201,201,200,200,200,199,195,196,197,199,199,199,201,201,200,201,201,202,202,202,202,203,202,203,203,203,202,201,201,202,201,201,201,201,195,196,198,200,200,201,203,203,202,203,203,204,204,203,204,205,205,205,205,204,203,203,203,203,203,202,202,202,196,198,199,200,201,202,204,204,203,203,204,205,205,205,205,206,207,207,206,206,205,206,205,205,204,204,203,203,199,200,201,202,202,202,205,206,204,205,206,206,206,213,207,201,206,207,208,208,207,207,207,207,206,206,205,205,201,201,203,203,204,205,206,207,207,216,216,203,213,227,214,174,183,213,208,194,205,207,208,208,208,207,207,206,201,202,204,205,206,207,207,206,221,246,230,193,203,234,218,158,140,212,206,163,176,209,209,210,209,209,209,208,202,203,205,207,207,207,208,205,230,254,236,191,193,238,218,165,131,209,198,154,134,204,212,211,210,210,210,210,203,205,207,208,208,209,209,209,233,248,235,192,188,240,216,178,154,212,186,139,116,192,215,213,212,211,211,210,204,206,208,208,209,209,224,229,210,219,232,209,172,235,222,178,170,216,190,133,108,182,216,214,213,213,213,212,205,207,208,209,210,214,247,232,189,177,207,195,149,218,212,151,174,218,175,122,105,176,218,215,215,214,213,212,207,209,210,211,209,232,253,239,203,156,179,152,111,149,152,128,179,187,136,105,104,175,220,217,216,215,215,214,208,210,211,212,212,242,249,243,212,168,150,140,97,92,115,179,206,185,144,137,129,180,221,217,217,217,215,215,210,211,214,213,216,245,232,239,219,185,137,116,116,113,181,240,240,216,185,177,152,182,222,219,218,217,216,216,210,213,213,213,223,251,238,221,218,191,147,112,117,172,247,250,240,220,191,172,145,167,223,221,219,218,217,217,212,214,214,213,236,254,241,205,211,191,160,122,120,229,254,249,239,220,193,162,134,166,224,222,221,219,218,219,214,215,216,214,241,255,247,223,199,191,193,153,156,251,253,249,237,216,183,156,130,166,225,222,223,221,220,221,215,216,218,216,235,255,250,228,197,178,191,189,217,255,251,249,237,211,180,153,130,151,223,223,224,223,221,222,215,216,218,216,236,255,252,235,219,204,191,225,246,254,247,246,235,207,183,148,127,145,224,225,223,223,222,222,216,217,219,218,238,255,254,245,235,227,212,230,241,253,242,240,230,208,178,144,119,164,227,226,224,224,224,223,216,218,220,219,236,255,255,251,242,231,219,225,232,249,238,229,221,207,168,136,119,200,227,226,226,225,226,225,217,219,221,221,229,254,255,253,243,227,217,223,226,242,231,219,215,196,155,123,144,225,226,226,227,227,227,225,217,219,222,223,224,249,255,250,240,221,212,220,223,234,225,215,205,177,136,115,193,230,228,228,228,227,227,227,218,220,222,224,223,246,253,239,228,214,209,217,223,236,224,209,189,154,116,148,228,230,229,229,229,228,228,227,212,208,203,197,186,193,189,168,162,159,157,161,158,163,152,143,136,120,104,197,236,232,231,231,231,230,230,229,161,157,149,141,124,115,111,103,96,89,83,79,68,66,65,63,61,63,67,117,176,227,232,230,230,230,230,230,140,139,139,131,119,111,106,99,91,85,79,71,62,60,59,57,54,51,49,48,69,205,232,230,230,229,229,228,150,138,138,129,119,110,104,98,91,82,77,70,62,59,59,57,52,48,49,44,104,224,230,231,230,229,228,228
14,170,169,169,170,170,170,171,171,171,171,172,171,171,170,171,171,172,172,170,171,171,170,170,170,169,169,171,136,172,172,172,172,173,172,173,174,175,174,175,174,173,173,174,174,175,175,173,173,173,172,172,172,171,169,174,119,175,174,174,173,175,175,176,177,175,176,174,175,176,176,174,179,179,176,176,176,176,174,173,173,173,173,175,149,178,176,177,178,178,178,177,177,180,185,175,165,178,177,165,161,174,180,180,179,178,178,177,177,175,175,175,167,180,180,180,182,181,180,178,189,203,171,165,163,166,154,127,142,158,164,168,184,180,182,182,181,179,178,178,174,184,183,183,185,183,189,201,197,180,114,91,115,126,124,86,81,142,125,103,186,183,184,184,182,180,181,180,178,185,185,185,187,180,204,212,139,106,82,46,60,79,86,66,61,92,95,65,165,195,186,180,185,183,182,182,182,187,186,186,190,181,212,205,128,63,53,48,42,49,57,60,53,64,72,86,100,164,162,134,147,187,182,184,184,189,189,189,191,182,218,201,143,83,58,55,50,49,47,56,53,54,89,134,100,79,157,130,132,193,185,187,185,192,191,192,192,184,220,187,120,63,48,53,63,59,48,57,61,56,71,89,63,129,177,102,157,198,188,189,188,192,191,193,191,195,220,183,140,96,60,48,59,51,63,55,79,130,165,143,112,177,164,92,167,198,190,190,190,194,194,196,192,203,223,190,155,119,86,71,51,54,86,64,127,212,198,205,183,181,163,90,162,200,192,193,192,197,198,199,192,210,229,199,159,107,83,74,68,68,72,67,167,203,195,197,169,178,154,91,150,204,193,193,193,197,198,200,193,213,235,206,160,101,75,69,66,83,68,89,205,197,200,189,175,179,148,90,127,209,194,194,194,198,199,200,196,215,234,207,173,123,82,61,62,80,67,121,214,196,202,180,191,183,141,78,155,207,196,198,196,198,200,203,196,213,238,210,176,137,93,62,60,74,55,139,204,204,192,169,194,185,118,102,206,200,200,199,198,201,202,206,194,206,236,212,184,147,98,70,64,61,59,101,122,164,161,170,183,165,95,163,211,199,202,199,199,204,203,205,194,206,236,214,185,155,113,79,49,64,76,93,121,138,148,165,169,131,105,203,204,204,205,203,201,204,204,206,197,207,235,219,188,159,125,93,51,69,83,112,140,152,148,142,142,98,150,214,205,207,206,204,203,205,204,207,195,205,233,220,193,164,131,101,64,68,96,132,153,157,136,122,106,86,196,209,207,206,207,206,205,207,204,208,195,198,233,218,197,168,136,103,79,67,95,134,154,153,133,105,85,113,217,204,206,206,207,208,207,207,205,209,198,196,229,217,200,171,142,107,90,70,86,131,152,147,119,94,87,184,213,208,209,207,207,208,207,209,209,209,198,200,225,217,201,175,149,115,99,81,82,138,150,137,110,77,137,224,208,210,210,209,208,208,207,211,210,212,195,204,230,216,199,181,156,116,103,96,77,134,134,121,101,72,184,220,211,211,211,210,210,210,210,211,211,216,197,210,233,214,200,187,160,119,104,100,80,114,121,114,88,96,217,215,213,212,212,211,210,210,210,212,211,214,197,223,229,217,211,188,161,120,103,96,84,100,107,105,72,158,225,214,215,213,212,212,211,211,210,212,212,209,196,231,231,219,206,179,146,114,99,91,86,93,96,85,110,217,218,215,215,214,213,212,212,211,211,213,214,201,198,227,227,216,192,160,129,105,92,86,90,92,93,86,191,224,215,217,216,216,213,214,213,213,212
6,240,241,241,242,243,243,245,245,245,245,245,245,244,243,244,244,241,240,241,242,239,236,236,237,235,232,231,231,242,244,244,244,244,245,247,247,247,247,247,247,247,246,247,246,244,243,241,242,242,238,238,237,236,235,233,232,243,245,248,247,247,247,247,248,249,249,250,250,250,250,251,250,248,246,244,243,243,242,239,238,235,235,234,231,244,246,247,248,249,249,249,249,251,252,252,251,249,250,251,250,249,248,245,245,244,242,240,240,237,238,237,235,247,248,249,251,252,251,250,251,251,251,250,251,253,253,252,252,251,250,249,249,246,245,244,242,241,240,237,236,251,250,251,253,254,253,252,252,251,251,251,252,253,253,252,252,251,250,250,250,249,248,246,244,243,241,239,239,251,251,253,253,253,253,254,254,253,253,253,253,255,255,254,254,253,252,250,251,248,248,246,244,243,242,241,242,254,255,255,255,255,255,255,255,254,254,255,255,255,255,255,255,255,255,253,252,252,252,249,248,244,239,242,241,255,255,255,255,255,255,255,255,255,255,253,251,255,255,255,253,254,254,255,244,249,242,244,239,237,255,251,239,255,255,255,255,255,255,255,255,255,254,233,212,239,253,255,253,255,252,242,242,246,241,247,238,241,255,225,236,255,255,255,255,255,255,253,254,255,254,247,197,182,224,238,238,235,227,220,218,212,212,210,210,203,201,219,249,255,255,255,255,255,247,246,251,251,252,253,205,153,149,147,168,173,182,187,188,199,209,214,217,222,237,252,247,253,247,247,246,242,236,237,234,228,221,206,176,163,159,136,169,237,248,253,255,255,255,255,255,255,255,255,255,252,243,235,229,228,232,231,223,220,228,226,177,149,155,173,165,196,255,255,255,255,255,255,255,252,225,208,208,249,237,225,222,224,224,227,227,231,247,252,194,149,136,158,173,155,164,249,255,255,255,255,255,185,145,144,141,246,236,222,213,209,213,224,230,237,234,220,195,168,161,155,152,166,151,188,255,255,255,255,217,143,155,149,144,248,240,228,218,213,213,215,218,235,241,202,170,174,180,177,162,153,144,196,255,255,255,255,178,145,143,139,141,243,238,232,224,218,219,216,212,219,237,221,170,137,163,190,189,168,140,236,255,255,255,170,141,127,110,101,87,237,237,236,229,222,221,222,221,233,242,207,172,158,152,159,177,184,156,202,224,187,162,131,127,112,95,85,76,223,239,241,239,230,225,222,219,224,235,212,181,175,180,168,153,162,161,150,145,140,127,119,108,100,90,80,79,139,221,246,236,233,231,223,218,206,205,202,188,198,196,183,178,157,126,121,136,138,127,118,107,94,86,77,74,62,106,211,218,202,198,190,188,188,170,159,140,163,181,193,186,155,111,91,119,121,113,113,113,103,86,74,71,66,59,82,195,227,227,236,244,255,255,149,133,136,161,176,151,148,117,89,92,113,108,103,111,113,90,76,69,55,38,121,239,244,244,247,249,249,254,232,202,192,179,142,112,149,113,83,75,93,102,97,103,113,100,78,69,42,42,140,155,150,152,155,156,158,161,167,168,181,174,118,101,144,113,75,75,85,91,92,97,109,105,80,70,46,40,130,154,149,148,148,148,150,147,144,158,171,159,106,95,134,104,73,74,83,84,86,90,99,102,83,69,46,38,149,160,156,158,157,153,153,156,164,155,131,124,109,88,126,97,75,64,77,80,82,85,92,100,91,73,29,59,165,157,158,157,159,158,158,153,141,126,123,108,106,89,117,94,74,67,69,73,77,81,89,96,91,76
21,70,85,102,116,125,128,139,147,154,159,162,165,167,170,173,174,176,177,176,176,175,175,174,172,172,170,169,169,69,86,104,117,125,130,141,150,157,161,164,173,173,174,178,180,181,181,181,181,180,179,178,177,176,176,174,174,71,87,105,119,127,132,142,152,157,169,175,123,159,184,181,183,185,185,185,185,184,186,186,182,182,180,179,178,72,89,107,121,127,133,145,154,157,173,181,115,103,190,183,186,187,187,188,189,191,146,166,191,185,184,184,182,74,90,108,122,128,135,147,155,161,169,188,147,79,169,190,187,190,191,191,192,204,132,102,197,189,189,187,187,75,93,110,124,130,137,148,157,164,168,199,165,81,133,199,190,192,192,193,194,209,149,82,185,196,192,191,191,76,95,112,126,132,139,150,159,167,168,198,181,87,97,199,193,194,195,196,199,212,152,81,168,202,193,194,194,77,97,114,128,133,141,152,160,167,170,188,189,109,81,182,197,196,197,198,201,209,143,84,157,206,196,197,196,79,97,115,130,135,143,155,163,170,174,183,205,147,86,155,205,196,200,200,203,204,148,88,156,208,196,199,199,80,100,117,131,137,145,157,166,172,177,180,211,166,94,122,207,198,201,201,207,206,156,91,163,209,198,198,198,82,102,119,133,137,147,159,167,173,179,178,212,177,99,98,199,202,202,202,211,196,146,93,171,208,202,207,211,84,104,121,136,139,148,160,168,174,180,180,210,191,118,89,180,207,204,204,216,182,135,87,192,220,204,176,136,86,105,123,136,140,151,161,170,176,181,183,202,212,153,98,151,212,204,204,219,187,134,89,161,121,78,56,40,87,107,125,138,142,152,163,171,177,182,184,190,199,161,104,122,211,204,208,217,178,138,81,44,34,36,38,51,88,108,126,138,143,153,165,172,178,182,193,183,137,120,108,101,202,207,210,204,165,130,65,35,36,39,30,36,87,107,126,137,142,153,165,172,178,178,205,193,158,170,107,79,178,209,190,179,153,111,57,29,25,41,37,26,88,109,127,138,143,154,165,172,179,180,212,216,198,196,123,81,105,150,159,160,131,90,38,40,21,28,43,34,89,109,128,138,143,155,166,172,179,180,211,225,216,189,135,94,75,91,131,146,117,80,14,31,39,16,32,38,87,108,128,138,144,155,166,173,185,147,146,190,214,192,167,117,100,96,91,102,101,77,12,10,43,32,18,32,97,112,128,137,143,155,164,177,202,151,124,117,184,162,178,148,129,132,91,62,79,76,25,0,27,44,25,22,94,92,98,101,104,109,102,158,215,190,163,109,115,141,126,153,143,134,115,78,61,66,40,0,10,38,38,27,94,94,95,95,97,101,87,160,192,197,179,132,83,91,96,78,117,140,136,113,80,54,49,5,1,27,40,34,98,100,99,100,103,105,93,164,164,145,186,148,90,58,95,64,59,158,167,145,119,77,51,18,0,15,37,34,99,101,100,102,104,105,95,174,188,136,148,165,102,78,76,86,60,125,198,173,143,107,72,35,0,4,31,36,99,100,100,101,103,105,96,174,187,149,98,125,133,121,84,92,90,132,153,197,166,123,90,63,11,0,22,36,99,100,100,100,102,106,95,161,190,132,93,87,120,143,104,110,122,160,143,181,185,138,100,81,26,0,8,31,99,99,99,100,102,105,94,136,187,138,127,107,95,120,127,140,157,172,200,178,164,118,109,85,35,5,0,21,98,99,99,101,101,103,97,119,196,167,141,111,110,124,145,161,194,195,198,172,141,84,102,79,36,19,0,6
2,147,148,149,149,149,150,150,150,149,149,149,149,148,148,148,147,146,145,144,142,143,142,140,139,138,136,136,134,148,149,150,151,150,151,152,152,152,151,151,149,149,151,151,150,150,150,150,146,143,143,141,139,138,137,135,135,149,150,151,153,153,153,153,153,153,152,152,152,150,139,139,141,136,132,127,132,147,143,141,141,140,139,137,136,152,152,153,154,154,154,154,154,154,154,154,151,134,124,126,127,124,106,90,80,117,147,147,142,141,141,139,138,153,153,154,154,155,155,155,155,156,155,154,141,131,129,122,117,127,100,81,98,104,106,126,145,143,141,141,139,154,155,155,156,156,157,157,156,157,158,156,148,139,125,109,97,87,60,55,76,87,67,59,133,148,142,141,139,155,156,157,157,158,158,159,159,159,153,144,142,129,95,70,60,69,83,124,119,92,69,94,144,145,144,143,140,155,156,158,159,159,160,160,161,161,149,138,125,96,58,43,51,146,161,157,158,154,147,153,148,145,145,143,141,156,157,159,159,160,162,161,162,160,150,130,89,58,49,43,84,164,153,154,154,152,151,150,149,146,146,145,143,158,159,160,160,161,162,162,163,160,151,123,65,44,43,46,135,162,156,155,155,154,151,150,151,150,147,145,143,159,160,161,161,162,162,164,162,159,149,118,64,45,39,73,166,158,159,157,156,154,154,153,144,139,148,146,144,159,160,162,163,164,164,165,160,156,146,104,53,54,49,80,166,158,160,158,156,155,156,122,92,82,121,151,144,161,161,161,163,165,165,166,160,157,141,95,62,62,48,90,169,159,161,159,157,159,125,93,93,77,107,154,145,161,162,162,164,165,166,166,159,158,140,100,75,61,43,111,172,158,161,159,162,134,93,99,90,75,138,150,147,161,163,165,166,166,167,164,158,157,138,100,77,59,47,79,170,165,159,166,143,84,84,92,72,106,157,148,148,162,165,166,166,167,168,164,158,154,133,104,79,56,55,53,86,140,171,146,99,78,78,76,69,151,153,150,149,163,164,165,166,166,168,164,157,153,132,102,73,57,56,61,59,71,114,85,80,90,75,58,126,159,152,152,149,163,165,166,167,167,168,161,157,162,133,98,79,57,56,60,66,72,66,67,79,76,68,132,162,153,155,152,150,163,165,166,167,168,170,157,163,162,127,96,78,59,57,63,65,72,77,69,73,67,138,164,155,155,155,153,150,164,165,166,168,170,169,156,167,154,120,93,80,60,57,64,66,72,76,70,51,128,168,156,156,156,155,153,150,165,166,167,168,171,167,158,164,147,114,95,82,59,57,67,71,73,73,58,108,167,159,158,157,155,155,153,152,165,166,168,169,171,165,158,161,136,113,98,79,60,57,70,72,75,58,77,170,161,160,159,158,157,155,154,153,166,167,169,170,172,164,155,149,129,109,92,76,58,57,70,68,66,48,141,169,161,162,161,159,157,156,154,153,166,167,169,169,171,163,153,143,126,104,91,74,57,58,68,67,45,114,174,163,163,163,161,160,159,157,154,153,166,167,169,170,170,162,146,137,118,99,85,71,59,59,59,45,105,175,165,166,164,164,161,160,159,157,155,154,166,168,168,170,168,161,142,135,116,97,81,68,57,48,56,123,175,167,167,165,164,164,162,160,158,157,156,154,166,168,169,168,168,158,140,130,117,96,76,61,43,89,165,177,169,169,167,166,165,163,162,161,159,158,156,154,167,168,170,168,161,139,129,128,113,89,66,51,58,167,177,169,170,168,168,167,166,165,164,161,159,158,156,154
13,172,175,178,180,181,183,185,187,188,191,190,189,190,190,190,191,190,191,191,190,188,188,189,187,187,186,185,185,174,175,179,182,183,185,186,190,190,190,193,192,192,192,192,192,192,191,192,191,189,190,190,190,187,186,187,187,175,178,181,183,185,187,189,191,192,191,193,193,193,194,194,195,192,192,194,193,190,191,191,191,190,189,189,189,177,180,183,185,186,188,191,193,193,193,194,196,196,195,197,197,195,194,192,193,196,194,191,190,192,192,191,190,178,180,184,186,188,190,191,193,194,195,196,197,197,199,193,195,193,197,208,177,136,180,197,196,196,192,192,192,179,181,185,187,189,191,193,193,196,197,198,198,196,185,210,211,154,157,232,180,101,111,194,166,183,197,193,193,181,184,187,190,190,192,194,195,198,199,196,206,203,143,167,228,163,129,222,178,110,62,161,132,99,196,196,195,182,185,187,190,191,192,194,197,199,198,199,238,216,168,108,211,175,123,217,166,102,70,166,147,68,166,204,194,184,186,188,191,194,196,196,199,203,197,219,240,228,182,106,188,184,101,197,177,82,113,201,150,57,141,209,192,184,187,190,191,195,197,200,201,200,202,235,196,221,185,97,157,187,92,202,201,97,91,131,90,47,144,210,194,185,188,191,194,195,197,199,200,196,217,236,202,217,165,87,154,174,86,111,153,82,64,121,114,60,153,210,196,187,190,192,193,196,199,200,197,211,240,215,183,207,141,89,182,153,103,20,21,26,121,188,186,98,164,209,198,189,191,192,196,199,199,203,196,225,244,203,158,181,143,93,189,160,102,18,84,123,169,185,183,117,164,210,199,190,192,194,198,200,200,204,199,234,238,205,165,139,150,75,201,216,99,105,222,206,175,143,131,101,128,213,200,191,193,195,199,201,202,206,203,245,235,213,194,158,116,73,162,179,149,221,216,186,163,133,103,87,92,207,204,192,194,197,199,203,205,204,208,253,234,214,196,181,138,132,134,188,225,224,201,176,152,121,98,81,95,210,203,194,197,199,201,205,206,204,212,253,234,213,201,186,155,138,158,231,233,216,187,159,139,110,96,68,149,216,203,195,198,200,202,206,208,207,209,249,238,216,204,190,162,146,181,230,232,210,179,147,125,101,83,79,203,209,207,195,198,201,205,206,208,208,209,248,240,221,206,190,167,164,201,216,212,193,169,143,115,96,60,116,222,207,210,196,200,202,205,207,209,209,209,248,239,218,205,184,167,185,205,186,186,172,152,131,106,71,77,191,214,208,209,198,200,205,207,208,210,212,208,248,236,225,205,182,177,198,196,172,170,150,130,113,75,93,195,216,210,211,210,199,201,205,208,209,211,212,213,255,239,234,208,191,191,205,186,166,150,130,119,80,92,205,217,212,214,213,213,199,202,205,209,211,212,205,232,255,244,239,206,199,204,196,171,151,125,119,88,85,200,221,214,213,214,214,213,200,202,205,207,212,213,206,247,247,243,235,204,201,198,184,154,128,112,96,76,180,220,216,217,215,215,215,214,201,203,206,208,212,211,212,247,227,223,217,196,193,194,166,134,117,106,71,157,225,216,218,218,216,216,215,215,201,204,207,211,214,207,217,244,217,202,198,181,190,190,143,127,116,81,104,215,220,219,217,218,216,215,215,215,202,205,208,210,216,199,230,243,206,198,193,178,182,163,130,123,99,71,162,225,221,221,218,218,218,217,216,215,203,206,209,212,213,201,249,237,192,189,194,177,165,146,123,112,75,91,203,223,221,221,220,220,219,217,217,215
8,170,172,173,173,174,174,174,175,175,174,173,173,173,171,170,170,169,168,167,166,166,164,162,161,160,157,156,155,172,173,174,174,175,176,176,177,177,177,176,174,175,173,172,172,171,169,168,166,166,166,165,163,161,159,157,156,174,174,175,177,176,177,179,179,178,178,178,177,177,176,174,174,173,172,171,169,167,167,166,164,163,161,158,157,174,175,177,180,164,137,174,181,180,180,180,179,178,177,177,175,174,174,173,171,170,169,168,166,165,162,159,158,176,177,178,180,146,98,157,183,181,181,181,180,180,179,179,177,176,175,175,173,172,171,170,168,166,164,162,159,177,179,180,177,126,89,157,186,184,183,183,182,181,180,180,180,179,178,177,176,175,172,171,169,167,166,165,162,179,180,182,174,116,88,170,186,186,186,185,184,183,182,182,180,172,162,170,173,162,172,172,170,168,167,166,164,180,182,183,169,106,90,179,187,187,186,176,181,186,183,183,180,147,114,109,151,127,159,174,171,169,168,166,165,181,182,183,174,111,88,176,189,186,160,127,127,173,158,136,143,145,120,86,109,112,136,177,174,172,170,168,166,183,184,186,177,118,84,170,190,175,152,133,108,124,136,107,91,136,132,99,75,106,109,173,175,174,172,170,168,183,186,186,174,118,80,148,192,170,162,148,121,103,134,112,92,134,131,98,65,89,86,134,176,175,172,171,169,183,186,188,180,146,106,122,190,163,162,161,128,95,127,126,98,122,116,84,58,78,95,88,157,177,173,171,170,184,186,188,186,169,126,109,169,152,148,164,132,94,111,133,97,99,117,95,59,72,98,76,140,178,174,172,171,185,188,189,189,175,133,126,141,136,127,157,130,97,89,125,99,86,134,117,70,85,103,79,157,178,174,173,172,186,188,190,191,186,166,156,133,131,114,138,130,92,74,114,102,70,122,112,69,100,101,90,174,179,176,174,172,187,187,190,191,192,179,155,126,107,106,124,129,97,72,85,80,47,58,69,81,112,92,108,182,180,178,175,173,187,188,191,192,194,181,142,114,93,85,99,135,126,88,61,59,86,96,97,128,123,82,130,184,181,178,176,174,187,189,192,193,193,180,155,131,103,91,93,135,136,99,76,100,139,144,133,126,113,72,150,185,181,179,177,175,188,190,192,194,194,189,169,139,105,90,89,123,127,102,90,133,153,149,136,103,88,77,171,183,181,179,178,177,188,191,194,195,194,189,174,143,114,99,91,113,145,144,146,164,156,140,125,91,66,121,186,183,181,179,178,178,190,193,195,195,194,187,176,151,126,105,98,115,167,177,179,171,149,129,113,78,77,173,187,184,182,180,180,179,191,193,195,196,195,184,171,152,128,105,105,124,174,174,168,158,135,117,100,66,130,189,187,185,183,181,180,179,192,193,195,196,195,181,167,156,132,109,111,133,168,166,161,146,124,108,84,80,177,190,188,186,184,182,180,179,192,194,196,197,198,187,170,162,135,117,113,136,161,163,156,135,114,96,68,131,193,189,187,187,185,184,181,179,192,194,195,197,198,195,177,168,144,124,111,132,154,152,143,122,100,78,80,180,194,191,188,188,186,185,182,180,192,194,195,197,198,198,186,170,146,126,112,124,143,137,125,105,83,63,143,196,193,191,189,188,186,184,181,180,192,195,195,197,199,198,189,167,145,125,116,120,133,126,109,90,64,114,193,196,194,192,190,188,186,185,182,181,193,194,196,197,199,198,189,164,144,128,123,119,125,121,102,79,78,179,198,196,195,193,190,188,187,185,183,182
15,95,105,116,122,124,127,134,140,146,150,153,157,160,163,167,170,173,177,180,182,185,186,188,189,190,191,192,193,97,106,117,123,124,127,134,142,147,151,155,158,162,165,169,172,174,178,181,182,184,187,189,189,190,193,193,194,99,107,116,123,125,127,135,142,147,152,157,159,162,166,170,173,175,179,182,184,186,189,189,190,193,194,194,195,99,108,119,123,127,131,137,142,148,154,159,161,164,167,171,173,178,181,183,186,188,190,192,194,194,195,196,196,100,110,119,125,125,130,136,141,148,152,157,162,166,169,174,177,180,181,184,187,188,190,193,194,195,197,198,198,100,108,129,157,133,132,139,138,146,154,155,154,152,157,162,172,179,182,186,189,192,193,192,193,196,198,199,200,103,110,132,157,128,122,131,137,152,158,163,167,171,163,153,154,155,163,175,173,175,186,200,196,194,199,198,200,104,113,125,119,96,101,112,119,140,154,159,178,186,171,169,166,173,172,167,175,155,141,155,194,201,196,201,200,104,115,123,126,128,131,127,125,129,138,141,161,185,189,185,183,184,192,183,171,185,163,117,109,183,206,199,201,106,116,123,126,130,138,146,153,156,158,156,152,146,159,182,205,185,158,189,158,168,190,119,108,100,186,207,201,106,116,124,127,129,135,142,149,154,157,167,168,127,110,117,140,173,147,149,143,166,201,106,119,134,106,195,204,105,116,123,126,130,136,143,149,154,153,193,166,120,108,111,127,160,151,111,112,148,171,115,113,162,114,115,213,107,116,123,126,130,137,143,149,155,153,208,169,102,112,133,155,170,150,120,118,116,113,117,129,144,120,71,155,106,118,124,125,130,137,144,150,154,163,199,209,144,130,146,156,160,138,122,123,122,119,118,134,146,118,75,75,107,118,124,126,131,138,144,151,149,188,207,204,206,170,118,102,114,109,103,108,117,126,135,144,149,130,86,70,108,119,125,127,130,138,145,152,154,185,213,199,195,200,169,100,49,63,56,62,83,114,142,141,134,121,87,80,108,118,125,128,131,138,144,152,156,166,204,211,181,177,203,168,55,40,39,44,46,73,127,133,124,111,95,91,106,118,124,126,131,138,144,152,154,161,195,199,193,165,192,137,63,44,40,52,43,68,132,144,141,132,122,106,106,115,121,124,128,134,141,148,150,176,210,193,174,164,162,102,62,46,44,54,50,64,119,142,146,142,134,118,81,85,89,92,94,96,98,102,106,116,185,214,189,147,145,138,68,46,52,53,65,72,89,121,133,136,132,119,81,83,85,84,86,88,87,85,85,84,112,151,161,158,144,136,92,56,54,53,64,77,79,100,117,124,124,115,87,87,88,90,91,93,94,94,93,98,97,96,100,107,100,98,98,64,56,50,57,77,83,89,117,124,118,107,88,88,87,90,90,93,93,93,93,96,98,98,98,97,108,108,118,94,82,78,81,89,89,86,113,121,112,103,89,89,90,91,90,92,92,92,93,95,96,96,97,96,97,122,140,138,146,133,116,135,135,122,121,124,109,98,88,89,90,92,91,91,93,94,94,96,98,96,96,98,99,94,100,139,160,143,162,176,175,171,151,141,123,96,87,88,88,89,90,92,94,94,95,96,98,99,97,97,99,101,97,103,113,134,173,190,180,174,156,134,117,104,87,88,88,90,90,92,93,93,94,95,97,99,98,98,97,100,100,99,97,103,120,135,158,141,127,115,111,125,87,87,88,90,91,92,93,93,94,95,95,95,96,97,97,98,100,100,101,99,96,97,127,113,122,138,135,118
23,180,182,183,184,186,187,189,190,190,191,191,193,193,194,194,194,195,195,194,194,194,193,193,193,192,192,193,193,181,183,185,186,188,189,192,193,193,193,193,195,196,198,198,197,197,197,197,196,195,195,195,195,195,195,195,196,182,185,187,188,189,190,193,193,194,195,195,197,198,199,199,200,207,217,221,207,192,191,196,192,196,197,197,198,183,186,188,190,190,191,194,196,196,197,197,198,199,207,214,226,234,231,220,205,195,185,175,147,192,198,199,199,186,187,189,190,191,193,194,197,197,197,199,199,209,247,240,218,215,205,177,154,154,147,136,155,197,200,201,200,186,188,190,192,193,194,195,197,198,199,200,198,223,252,224,190,182,157,146,179,173,170,183,200,201,201,202,202,188,189,191,193,195,196,198,199,200,201,201,198,236,251,212,159,138,162,195,205,205,203,204,204,203,202,203,203,189,191,193,195,196,198,200,200,201,202,203,203,248,246,210,168,179,204,212,224,215,193,206,205,204,204,204,204,190,193,194,196,198,199,201,201,204,205,203,213,252,238,219,159,190,232,245,246,221,156,203,207,208,206,207,207,191,193,195,197,199,199,201,203,206,207,203,227,252,233,229,196,243,253,249,236,199,144,148,165,206,209,208,208,193,195,196,199,200,201,203,205,207,206,204,242,251,233,246,251,252,245,230,218,210,208,154,112,179,210,209,209,194,197,199,200,202,204,206,208,208,208,212,251,251,245,245,247,245,239,237,236,232,224,175,117,146,210,210,211,196,198,201,202,203,205,207,209,209,213,239,249,246,242,237,242,244,244,238,231,217,201,161,113,114,181,212,212,197,199,201,203,204,206,208,209,208,240,250,252,250,244,236,233,235,235,227,217,207,208,174,109,108,142,215,214,199,200,202,204,206,208,209,210,208,247,254,254,253,245,229,228,231,231,226,216,210,209,181,116,104,154,216,216,201,202,203,206,207,209,211,212,212,243,254,255,254,250,240,240,228,221,214,204,199,191,159,117,107,188,218,217,201,203,204,207,208,210,212,213,212,236,254,254,254,250,240,239,210,189,182,171,165,158,150,122,128,213,219,217,202,204,206,208,210,211,213,214,213,231,255,254,254,247,237,229,199,157,126,110,125,156,146,120,162,220,220,219,204,206,208,210,212,213,215,216,215,228,255,255,254,243,234,216,190,156,117,54,105,153,143,119,194,221,222,220,206,207,209,211,214,214,216,217,218,225,254,255,254,245,233,237,222,148,84,80,125,144,127,124,214,221,221,223,207,209,211,213,214,216,217,217,220,224,254,255,254,246,240,238,209,150,91,98,124,118,113,150,224,223,222,224,208,210,212,214,215,216,218,218,220,223,253,254,254,249,244,237,199,155,112,90,100,110,114,169,225,223,223,223,209,210,212,214,217,218,219,220,221,222,251,254,254,249,248,237,200,156,125,85,103,116,116,188,227,225,225,225,209,210,213,215,217,218,220,221,222,222,251,254,254,251,249,236,201,160,134,100,112,122,118,209,226,227,227,227,209,211,214,216,217,219,221,223,223,223,251,254,253,250,247,232,202,163,136,110,120,126,132,225,226,227,228,228,210,212,214,215,217,219,222,223,224,224,251,254,254,248,240,223,194,160,136,118,120,121,167,231,229,228,228,229,212,214,215,217,219,220,223,224,226,225,251,254,253,242,228,210,185,153,137,125,120,123,216,230,229,230,230,230,213,215,216,218,221,223,224,224,227,226,250,254,253,238,216,195,169,149,140,130,118,160,230,230,230,231,231,231
18,199,199,199,200,200,201,202,202,202,202,202,202,201,201,200,200,200,201,201,201,200,199,197,197,195,194,193,191,200,200,201,201,201,202,202,203,203,202,202,202,202,201,201,201,201,202,201,201,200,198,198,198,196,194,194,193,202,202,203,203,203,204,203,203,203,203,203,203,203,203,202,202,203,204,201,201,200,199,198,198,197,195,195,194,203,203,204,204,205,205,205,204,203,203,204,204,204,204,203,204,205,208,198,192,199,200,200,199,198,197,196,195,204,205,205,206,205,206,206,206,205,205,205,205,206,206,204,204,211,220,200,176,188,200,201,200,200,199,198,196,206,207,207,207,207,207,207,208,207,207,208,210,219,216,198,200,221,231,215,187,187,198,195,196,199,199,198,198,207,208,208,208,208,208,209,209,209,211,209,220,235,220,192,183,211,227,229,219,216,205,177,171,192,199,199,200,208,209,209,209,209,209,210,211,219,224,208,214,235,218,191,177,206,215,227,232,230,211,168,143,176,199,201,201,209,209,210,210,210,210,210,221,239,233,202,192,226,214,188,179,211,206,206,227,234,210,162,129,157,197,202,201,209,209,210,210,210,210,216,238,250,237,204,187,225,217,187,180,215,206,191,227,241,211,156,123,149,198,203,203,211,211,211,212,212,213,229,246,249,240,208,186,223,220,189,181,215,204,192,235,244,209,151,120,157,202,204,204,213,214,214,214,214,221,241,239,241,240,211,185,215,215,185,168,195,189,193,239,240,201,146,124,175,205,206,205,214,215,214,215,218,235,243,229,226,225,200,172,190,198,171,143,161,173,204,242,230,189,142,139,193,207,207,207,215,215,215,215,226,245,235,211,204,196,167,143,163,174,146,130,174,204,227,237,217,177,140,164,205,209,208,207,217,217,217,217,231,249,235,206,186,174,146,126,163,168,151,183,226,236,228,217,201,165,142,186,210,210,209,208,217,218,219,219,237,251,237,211,181,164,142,125,166,178,203,240,246,236,213,194,181,150,144,196,212,212,211,210,218,219,220,223,244,251,239,219,194,170,154,145,162,204,242,251,245,227,198,174,159,135,158,207,214,213,212,212,219,220,221,227,249,253,243,227,207,183,171,174,199,240,252,250,239,213,181,158,142,129,176,213,215,214,214,213,221,221,221,230,250,254,248,236,220,198,191,207,236,252,251,245,230,199,167,145,129,145,199,216,216,215,215,214,221,221,221,230,250,254,251,243,230,212,207,223,245,250,244,235,218,186,155,134,128,178,215,217,217,216,216,215,220,221,221,229,250,254,253,246,233,218,213,224,243,243,234,225,200,172,141,123,144,203,219,218,217,217,217,215,221,221,221,228,249,254,252,243,229,217,214,220,234,230,221,213,186,155,126,119,173,215,219,218,217,217,217,218,221,222,222,228,249,251,246,236,222,211,210,216,225,217,208,200,175,137,114,135,200,219,219,219,219,218,217,216,222,223,222,230,248,242,233,226,214,206,205,212,221,209,195,182,153,117,111,168,216,221,220,219,219,217,205,180,215,214,215,229,248,240,231,226,218,213,206,210,220,197,174,154,124,102,136,202,221,221,221,220,218,207,168,128,174,169,167,192,221,222,218,214,214,214,199,201,207,176,148,125,99,117,187,220,223,222,217,206,186,158,125,106,138,132,128,136,145,147,147,148,152,159,153,161,164,141,119,98,88,147,201,215,220,215,185,152,129,112,99,91,140,122,118,119,117,113,108,103,98,96,95,99,99,90,81,74,72,106,136,160,189,184,135,116,111,104,96,88
12,126,132,137,138,143,146,148,149,151,152,153,153,157,160,159,158,159,158,159,159,158,159,157,155,154,154,154,152,129,134,137,139,144,147,149,152,151,153,153,157,158,159,160,160,161,160,160,160,159,158,158,157,157,155,155,153,131,134,139,142,144,147,149,152,154,156,158,159,160,160,156,160,164,163,160,161,160,160,160,159,158,156,157,157,131,135,140,143,146,149,150,154,156,158,157,161,157,154,188,159,127,149,166,162,162,159,161,161,159,159,159,157,133,137,142,145,147,150,153,156,159,154,176,208,180,127,182,195,117,86,164,161,163,165,161,161,161,159,158,158,134,138,142,146,148,151,156,158,161,154,210,239,204,149,99,178,157,74,139,187,138,139,165,163,162,159,159,158,135,139,142,147,150,153,157,159,162,154,207,215,219,182,146,102,145,115,107,199,132,78,135,169,161,161,161,160,135,140,144,148,151,154,156,159,159,153,202,173,156,190,149,60,119,139,60,120,139,65,82,171,163,162,161,162,136,141,146,149,152,154,158,153,172,200,147,122,139,162,143,115,140,98,35,68,108,64,64,166,166,163,161,163,137,142,147,150,153,157,153,171,236,197,125,69,108,174,176,175,153,109,81,143,89,57,66,168,166,164,163,164,137,143,148,150,153,157,151,221,220,179,136,75,36,140,159,150,169,182,163,152,81,46,79,176,166,166,165,167,138,143,148,152,156,152,183,212,192,199,148,85,11,55,93,131,167,209,192,144,75,26,114,177,166,167,167,167,140,144,149,152,157,150,215,201,183,203,156,103,27,28,29,62,157,189,198,167,125,58,146,176,167,168,167,166,140,145,149,155,151,183,216,184,162,211,185,128,36,38,40,105,190,178,168,137,140,97,107,179,167,169,168,167,137,143,149,153,147,217,221,185,129,156,208,143,62,28,131,204,193,172,161,117,112,96,83,174,169,168,170,169,139,145,147,150,148,225,224,184,130,100,159,196,103,119,225,189,180,165,148,113,90,69,105,177,169,168,168,168,140,146,150,151,158,236,226,184,163,161,114,126,138,224,225,193,174,165,134,109,77,58,135,179,171,170,169,169,140,146,151,151,160,237,222,195,193,181,143,140,212,229,225,199,159,145,118,106,71,64,161,176,172,172,170,169,140,146,151,150,159,231,225,212,202,184,160,154,214,227,211,187,149,122,112,97,62,88,178,173,173,172,170,170,139,146,148,153,155,223,232,219,201,179,162,154,206,218,195,167,131,116,115,84,53,135,182,173,174,174,171,168,137,142,147,154,146,202,229,211,196,183,170,164,194,200,174,143,123,120,112,66,79,175,174,173,173,171,169,167,140,146,151,157,152,183,221,196,184,179,170,165,185,193,164,135,119,114,94,60,146,184,177,177,177,175,175,174,109,112,113,116,108,150,217,176,175,175,162,144,169,192,161,124,105,97,76,66,114,113,111,110,110,109,109,110,63,61,60,64,48,105,220,169,174,178,161,142,158,184,140,97,86,82,67,56,50,51,50,49,48,48,47,48,74,73,72,75,63,109,226,177,188,184,163,143,151,178,123,87,77,71,65,66,63,64,62,60,61,59,58,59,73,72,73,77,64,108,232,193,205,195,170,145,138,171,121,90,67,63,65,67,66,62,60,60,61,58,58,58,74,72,73,77,66,100,226,206,215,194,168,139,128,163,123,87,66,60,64,66,65,63,63,62,61,62,60,56,73,74,75,76,69,86,216,208,208,179,159,141,123,150,117,79,64,60,65,65,63,62,61,61,63,61,56,67
24,190,194,195,199,202,205,205,206,208,209,209,211,210,212,212,212,212,211,211,210,210,209,211,209,209,207,205,204,193,196,199,203,204,208,208,209,210,211,212,212,213,214,213,214,215,215,214,213,213,212,212,211,211,209,208,207,195,197,201,204,207,210,211,212,213,215,215,216,217,216,215,216,217,217,218,218,215,214,215,214,213,211,209,208,196,199,202,204,207,210,212,214,216,218,218,219,219,218,219,219,220,218,219,219,217,217,217,217,215,215,214,212,198,200,203,207,208,211,216,216,218,220,219,220,220,220,222,223,223,222,223,221,220,222,220,219,219,218,217,214,201,203,207,211,212,218,214,219,220,220,221,221,223,224,224,225,225,227,227,224,221,223,222,222,222,221,219,217,203,205,211,208,234,247,180,219,223,224,223,225,227,227,225,226,227,224,226,227,225,225,225,225,223,221,221,219,206,209,213,213,232,255,177,200,230,226,226,224,230,226,226,229,229,255,246,205,227,228,227,228,226,226,225,221,207,211,214,219,216,255,215,178,230,230,226,238,224,232,255,226,201,255,255,186,180,236,227,227,228,228,227,225,208,211,216,221,218,237,255,206,201,231,241,255,232,233,255,248,181,249,255,202,141,225,233,229,230,228,227,228,210,214,218,221,224,221,255,245,180,214,255,255,255,221,255,255,194,226,255,205,130,210,240,233,232,233,232,209,212,216,220,224,227,224,241,255,239,216,245,255,255,220,248,255,195,196,254,188,120,204,242,236,233,242,222,165,214,218,222,226,227,230,228,255,255,254,250,255,255,233,209,255,209,157,217,171,111,177,253,235,218,227,190,147,217,221,224,227,229,233,232,239,255,255,255,255,255,225,174,239,219,134,166,180,111,120,222,209,221,214,147,187,219,222,225,228,231,233,236,232,255,255,255,250,252,217,168,190,204,142,162,197,126,168,191,223,224,155,170,242,220,224,227,230,233,234,237,235,253,255,242,214,213,238,216,157,220,170,141,206,226,255,238,218,180,153,233,240,221,226,229,232,233,236,239,239,247,255,251,226,218,234,226,195,218,183,188,255,255,250,222,183,143,194,250,238,223,228,230,233,235,239,242,243,243,255,255,250,219,223,250,255,241,243,255,255,255,241,210,165,154,235,245,243,224,228,232,235,237,240,243,245,240,255,255,255,233,220,255,255,255,255,255,255,255,228,197,147,192,255,244,244,226,230,234,236,240,241,244,246,240,255,255,255,255,237,240,255,255,255,255,255,254,216,168,147,237,251,247,244,227,232,234,235,240,243,246,248,246,255,255,255,255,255,246,255,255,255,255,255,244,208,149,188,255,248,249,246,229,233,234,238,242,245,247,249,250,250,255,255,255,255,247,255,255,255,255,249,224,193,156,243,255,251,251,249,230,234,237,241,243,245,247,250,252,249,255,255,255,253,234,247,255,254,239,215,185,142,203,255,254,253,252,253,230,235,238,242,245,247,248,253,255,255,255,255,255,233,214,219,227,233,215,184,135,151,255,254,254,254,254,254,230,234,237,242,243,245,247,201,181,186,197,241,221,217,222,229,245,231,204,167,113,223,255,254,255,254,254,253,231,235,239,242,242,246,252,169,139,141,118,112,111,119,116,121,117,106,107,102,90,150,204,255,255,254,253,252,230,236,241,243,245,247,255,187,143,147,123,107,97,83,72,62,52,51,48,47,53,30,113,255,254,255,255,254,233,236,240,243,245,247,255,200,143,141,121,104,97,87,77,68,60,56,55,52,52,43,213,255,255,255,255,255
5,120,126,130,134,137,140,143,144,146,150,151,152,152,157,158,160,161,162,166,166,166,168,170,168,169,170,171,170,121,128,131,135,138,142,143,145,148,151,152,153,157,158,160,160,161,165,167,167,169,170,169,169,169,171,172,171,123,128,133,136,140,143,145,147,149,152,155,155,129,158,161,162,164,167,168,168,160,169,169,172,171,171,171,171,124,129,134,137,141,145,143,150,152,152,154,171,99,143,165,163,166,168,166,178,123,145,175,170,172,172,173,172,125,131,135,137,142,146,162,121,147,156,156,177,102,137,169,164,166,167,170,180,103,138,179,171,174,175,175,174,126,131,135,140,146,141,182,131,115,162,158,185,113,139,170,165,168,168,179,143,92,169,175,176,177,176,176,175,128,132,137,142,146,142,166,161,102,159,163,184,120,136,172,166,168,179,175,97,124,184,174,178,178,177,176,176,129,135,138,143,149,147,158,194,123,144,171,167,102,135,174,167,171,178,140,99,173,178,177,179,179,178,178,178,129,136,140,143,149,150,153,209,149,123,174,154,109,133,176,163,163,139,89,142,184,176,178,179,180,180,179,179,131,137,141,145,150,151,149,196,181,115,167,149,126,127,174,156,153,87,113,184,179,180,180,181,182,182,181,181,131,138,143,146,151,152,151,172,206,163,139,135,128,115,148,151,138,91,170,180,179,180,180,182,183,182,183,182,133,138,143,147,151,152,154,157,200,202,153,108,118,96,110,139,109,122,185,179,182,183,182,182,183,184,184,181,132,138,143,147,151,151,155,156,177,214,183,131,97,92,96,102,92,162,184,182,182,180,182,185,185,186,185,185,132,139,143,148,151,152,155,159,161,208,193,144,98,83,87,84,96,182,176,172,168,167,172,175,173,172,178,176,134,140,146,150,152,153,157,161,157,201,198,144,97,79,78,81,96,138,160,161,152,167,185,178,171,171,160,124,135,141,145,149,153,155,158,162,161,212,195,148,105,75,74,79,100,112,137,140,109,112,134,128,131,154,141,98,136,142,145,150,154,155,160,159,170,224,184,142,103,78,74,81,95,101,92,97,111,151,157,157,157,164,128,116,134,140,147,152,154,155,160,155,192,223,172,137,100,77,75,79,82,86,123,157,184,195,191,171,169,129,118,181,135,141,147,151,154,157,161,157,211,211,165,132,94,76,78,82,67,131,193,195,188,176,154,157,148,99,184,191,135,141,147,151,154,157,159,171,225,203,160,117,93,74,75,87,100,126,133,160,159,154,165,161,109,127,197,184,137,142,148,152,154,158,155,192,224,192,148,117,97,73,78,96,118,132,127,122,149,161,155,123,121,179,191,188,137,142,149,152,154,157,158,213,216,180,140,125,102,70,90,124,140,146,136,130,150,129,118,155,193,193,191,190,137,143,149,152,155,153,174,224,209,175,140,129,103,71,100,141,143,145,140,114,102,127,180,196,190,190,190,189,138,143,148,152,156,152,204,220,199,171,142,124,103,74,110,147,134,143,124,90,139,192,192,189,190,190,190,189,138,143,149,154,150,173,222,205,193,166,126,111,92,76,119,140,128,127,109,164,196,189,190,191,191,191,191,189,138,144,149,154,151,203,211,191,181,152,110,103,83,86,116,121,121,110,172,194,188,191,191,190,191,192,192,190,138,144,150,149,178,207,194,184,180,151,98,93,86,94,98,104,125,170,193,187,190,191,191,192,192,192,192,192,139,144,149,152,209,197,188,176,187,144,84,96,99,85,86,136,186,190,189,190,190,191,191,193,192,192,192,192
10,95,97,99,102,107,110,115,126,135,141,147,150,152,156,159,162,165,168,169,171,173,173,174,176,176,175,177,178,96,98,100,102,107,110,116,128,137,143,149,152,154,158,160,162,166,167,168,173,173,174,174,176,177,176,177,177,96,99,101,104,108,111,118,130,139,145,151,152,154,159,161,165,165,174,174,154,175,175,176,178,178,178,178,178,95,99,101,105,109,112,120,132,140,147,152,153,157,160,163,168,162,197,186,114,166,181,178,180,180,180,179,180,96,100,102,105,110,113,122,134,142,149,153,155,159,162,165,169,166,187,194,129,137,187,180,182,182,182,182,182,97,101,104,105,110,114,123,135,143,151,155,158,162,165,168,172,172,181,201,144,114,179,185,185,185,185,185,185,98,102,104,107,110,114,125,137,145,153,157,158,162,167,170,173,177,176,200,166,119,161,191,186,187,187,187,187,98,102,105,108,112,114,126,138,146,153,158,159,163,169,172,176,178,178,198,184,129,139,196,188,189,190,190,189,99,103,105,110,112,116,128,140,148,156,160,160,165,169,174,175,194,183,131,166,143,120,191,193,193,193,193,193,100,103,106,109,112,117,131,142,150,157,160,163,168,173,176,177,206,157,107,138,190,121,179,199,195,195,195,195,101,104,107,110,113,118,132,143,151,159,161,164,170,173,179,179,201,149,119,110,206,129,160,203,197,199,198,197,101,104,107,111,113,120,133,144,153,160,162,167,170,180,172,189,220,169,159,116,155,145,139,206,199,201,200,200,102,105,107,111,114,121,135,145,155,162,164,162,184,225,186,206,193,188,181,134,109,141,125,202,201,202,202,203,104,105,108,112,115,122,136,147,156,162,168,175,187,248,214,215,159,149,186,155,110,116,112,188,206,203,203,203,104,106,109,112,114,122,137,147,159,156,213,234,175,183,220,223,177,106,169,183,137,106,95,169,211,203,205,204,105,106,108,112,115,123,138,150,160,158,221,250,193,118,169,227,170,109,119,185,157,121,90,151,213,205,207,207,104,106,109,112,116,125,140,150,161,167,192,171,202,184,131,167,125,88,91,160,166,137,101,138,214,206,208,208,105,106,109,113,117,126,140,151,162,167,202,155,175,199,116,132,144,80,125,168,166,155,117,125,213,208,208,209,105,107,109,113,117,127,141,153,165,164,214,199,148,131,118,149,152,144,204,192,170,162,129,121,206,211,210,210,105,108,110,113,117,128,143,155,165,166,214,196,170,154,142,151,161,222,222,184,173,156,131,126,205,213,210,211,105,108,111,113,117,130,143,156,168,166,233,227,196,162,159,170,243,249,204,169,156,146,131,135,210,212,212,212,106,107,111,113,117,131,143,156,168,165,234,239,201,172,183,202,255,230,196,171,144,135,127,149,217,213,214,214,107,107,111,114,117,130,145,157,170,165,240,246,198,198,192,213,255,220,187,166,144,130,122,168,220,212,214,215,106,108,110,114,117,132,146,158,170,166,232,235,206,214,197,236,241,206,174,154,139,131,122,180,221,214,215,215,107,109,111,114,119,132,146,159,171,166,216,233,227,220,216,244,223,186,162,143,133,131,127,200,219,215,216,216,107,108,112,114,119,133,146,159,171,167,197,247,241,219,203,216,203,171,149,137,133,122,142,218,216,217,218,218,106,109,112,113,119,135,149,160,170,173,179,235,228,208,189,192,188,175,155,143,134,114,165,223,217,218,218,221,106,108,113,114,121,136,149,162,170,175,173,209,208,194,186,189,186,188,167,141,130,109,181,224,217,219,220,222
4,135,136,138,139,140,141,144,147,148,150,151,151,152,154,156,156,157,159,160,161,162,162,162,160,162,163,165,165,134,136,138,140,140,143,145,147,149,150,151,152,154,153,155,157,157,159,160,161,162,162,163,165,165,164,164,166,135,137,140,140,143,144,146,148,149,150,150,153,156,154,152,154,161,159,161,160,162,163,164,166,166,166,166,166,135,137,141,142,143,144,146,148,151,157,152,142,144,169,157,132,127,163,159,165,164,163,165,166,166,166,167,168,136,139,141,144,145,143,144,147,150,160,168,150,103,139,166,125,91,113,136,121,156,166,166,168,167,167,168,169,137,140,142,144,143,146,175,164,142,104,156,151,98,104,154,116,81,88,124,83,111,176,166,168,168,168,168,168,138,141,143,145,140,164,199,174,130,90,134,149,100,85,150,143,78,89,129,94,99,174,166,167,169,169,169,170,138,140,144,147,142,177,167,178,138,96,111,163,115,63,144,158,86,88,151,99,97,179,165,169,171,171,170,171,139,142,144,145,145,187,151,149,161,115,75,162,124,41,104,169,131,105,128,105,105,154,171,169,171,171,171,172,140,143,144,144,150,185,152,133,125,98,53,91,102,42,68,157,140,125,117,121,122,105,167,171,171,172,173,173,141,143,147,143,158,183,158,142,121,103,92,72,98,86,83,127,144,140,127,114,125,120,138,177,170,173,174,175,143,144,148,141,179,181,152,128,120,108,92,96,119,101,111,124,135,128,109,130,157,134,113,175,172,174,174,175,142,145,148,145,189,172,147,124,110,93,89,103,120,111,125,144,126,93,125,174,162,147,107,164,177,174,175,175,143,147,145,154,199,170,148,125,113,98,96,106,115,125,134,150,150,155,151,151,149,141,106,141,182,174,175,175,144,147,145,160,202,171,153,133,112,100,96,109,124,137,141,154,170,169,159,148,132,117,99,110,183,175,175,175,145,147,143,168,205,172,157,140,115,101,102,106,128,144,161,168,171,163,158,144,128,110,88,94,181,176,177,176,147,149,141,173,207,171,161,143,128,113,110,109,137,163,177,175,167,155,151,141,123,106,84,102,184,177,178,177,145,151,141,178,209,179,167,153,142,120,115,130,149,178,182,176,167,153,141,131,115,102,77,142,186,175,179,180,149,152,143,174,210,187,173,162,153,137,125,146,153,173,179,172,165,153,136,120,101,84,93,180,179,177,179,180,149,149,146,165,213,194,180,164,158,146,136,145,157,173,177,167,165,156,135,113,93,72,147,185,177,179,179,180,148,150,149,154,213,199,178,162,154,145,142,147,159,175,175,161,158,155,134,120,84,106,185,177,178,178,179,180,150,150,151,148,210,199,173,166,158,151,151,153,165,170,164,156,147,144,136,115,84,167,183,179,180,179,180,181,149,151,151,149,212,193,172,177,167,161,158,156,162,165,152,147,138,136,130,90,137,187,178,180,180,179,180,182,150,151,150,155,213,183,178,184,174,171,165,156,160,161,150,141,132,122,97,121,183,179,178,180,180,180,181,182,150,152,147,163,212,193,183,179,173,176,169,154,152,154,146,134,121,96,105,183,178,179,179,180,181,181,182,182,149,151,146,171,214,203,179,172,175,181,170,146,144,143,140,126,109,80,160,182,177,179,180,180,181,181,181,182,149,151,145,181,211,203,178,170,177,176,163,144,136,139,134,118,89,106,187,175,178,178,180,180,181,181,181,182,149,153,145,188,213,204,176,168,173,172,157,143,134,144,129,111,78,142,186,178,178,180,182,181,181,181,181,182
22,70,103,120,119,124,126,128,138,151,159,165,167,170,173,176,178,182,182,183,188,187,187,188,187,187,188,187,186,69,107,120,121,124,128,129,139,152,161,166,168,171,174,177,180,182,183,188,173,183,190,190,191,188,189,187,186,72,111,120,122,125,128,130,140,153,162,167,170,171,175,179,183,183,185,200,137,163,196,185,179,192,190,189,188,75,115,121,122,125,129,131,142,154,162,168,170,174,175,181,184,182,191,201,134,169,200,171,140,193,190,190,190,79,116,121,123,127,129,132,143,155,164,167,184,185,137,181,185,183,201,201,132,177,207,162,142,197,192,191,191,84,118,121,124,127,130,133,144,157,167,168,186,176,121,177,188,184,208,196,134,186,213,157,153,201,194,193,192,89,121,122,125,128,130,134,145,158,167,171,180,182,127,168,192,186,206,183,135,195,212,151,169,201,195,195,194,94,122,122,125,129,131,135,148,158,168,174,177,185,134,155,194,189,199,171,131,201,207,140,180,202,196,196,196,98,122,123,126,129,132,136,149,159,169,175,175,186,147,141,192,192,195,160,135,215,188,131,192,202,199,199,198,102,123,123,126,130,131,136,149,162,170,175,174,187,153,123,182,195,183,154,137,220,170,138,202,200,200,201,200,106,124,123,127,129,131,137,151,162,171,176,174,188,178,131,166,192,170,140,151,220,153,148,206,200,202,202,201,111,123,124,126,129,133,137,152,162,170,176,175,188,200,143,141,178,168,155,195,207,140,161,208,201,203,203,203,116,124,124,126,129,132,139,152,163,171,176,187,166,173,132,132,164,185,209,213,186,131,177,209,203,204,204,204,119,124,124,127,129,132,139,153,163,171,181,196,164,153,135,148,169,198,216,206,174,129,192,208,205,206,205,205,120,124,125,127,130,133,140,152,162,172,179,184,197,197,164,125,145,182,199,199,173,128,199,208,206,206,206,206,122,123,124,127,131,132,140,154,164,173,179,193,206,212,162,129,128,152,171,180,160,127,200,210,208,207,207,207,123,124,125,127,130,133,140,155,165,174,176,207,195,178,169,155,132,132,139,142,148,125,192,213,209,209,209,209,124,124,125,127,131,134,141,155,166,175,177,206,193,168,181,176,154,136,131,122,134,123,184,215,209,211,209,209,126,125,125,127,130,133,141,156,165,175,176,209,205,180,172,182,174,165,145,122,123,121,182,217,211,213,212,211,125,125,124,127,129,133,142,156,166,177,177,209,211,187,174,219,184,175,148,127,125,120,183,218,212,213,213,212,125,124,124,126,130,132,142,156,168,177,178,200,222,182,190,237,188,166,145,132,131,123,189,218,213,214,213,212,125,125,125,126,129,133,143,157,167,177,179,192,217,173,199,224,188,164,146,139,131,126,198,218,214,215,214,214,125,125,125,126,129,134,144,157,167,177,180,186,204,177,195,210,193,174,147,137,133,129,199,218,215,216,216,216,126,125,125,128,130,134,145,157,168,176,181,183,195,192,196,203,188,168,147,134,133,130,198,219,217,218,218,218,125,124,125,128,130,133,146,158,169,177,181,183,190,201,189,190,181,151,141,135,132,124,196,222,218,218,218,218,126,124,124,126,130,132,146,158,169,178,180,182,190,198,180,173,177,145,141,138,131,116,187,224,217,219,218,218,125,123,123,125,128,132,145,157,168,177,179,183,191,191,167,172,191,178,160,140,131,115,165,224,215,218,218,217,124,122,122,125,127,131,143,156,168,176,179,183,189,194,194,200,199,188,176,147,128,117,136,216,216,218,217,217
3,105,117,125,130,134,139,145,149,151,154,155,157,159,160,160,160,164,163,161,162,161,160,160,160,158,157,156,155,111,122,130,134,140,145,151,155,157,160,162,164,165,166,167,173,135,157,170,166,168,167,166,165,163,162,161,160,117,128,135,139,145,151,155,160,163,166,169,170,171,171,173,181,99,103,185,171,174,173,173,172,169,168,166,165,122,133,141,145,151,157,161,166,170,173,174,175,177,179,180,180,99,63,179,179,178,179,177,177,175,173,171,169,125,137,146,149,155,162,167,171,174,177,179,181,182,183,184,189,103,46,163,188,182,183,182,181,180,177,176,175,129,141,150,154,159,165,171,176,178,182,184,185,187,188,188,195,117,42,146,199,185,186,187,185,184,182,181,180,134,144,153,157,163,169,175,181,184,186,187,189,192,193,190,215,143,46,124,206,191,192,192,190,187,186,184,183,137,147,156,161,167,172,179,183,187,191,192,194,193,196,179,184,128,39,106,208,194,197,196,194,193,191,189,188,141,152,160,165,170,177,182,187,190,193,195,200,199,229,195,127,75,55,95,208,199,199,199,199,197,196,194,192,145,155,163,168,174,181,186,191,192,196,201,188,154,208,228,162,64,127,110,195,207,203,203,203,202,201,198,195,147,157,164,170,178,183,188,193,197,196,218,207,159,148,238,175,130,187,71,156,218,206,207,205,204,203,201,199,151,160,167,173,181,186,191,196,201,174,168,223,208,142,199,172,144,159,55,82,218,209,209,209,208,205,204,203,152,162,170,175,182,187,194,198,213,203,165,155,216,155,163,169,110,158,100,53,149,224,208,211,210,210,208,207,155,165,172,178,185,189,197,203,200,218,208,128,146,180,124,173,110,134,142,83,85,223,211,212,211,210,209,209,156,166,174,179,187,192,199,206,191,139,170,103,73,151,79,172,171,88,139,96,83,219,216,216,215,214,213,211,158,167,175,181,188,194,200,206,205,132,138,106,54,123,86,84,85,34,116,103,78,219,219,217,216,215,214,212,159,168,176,183,189,196,202,206,217,180,115,104,73,99,152,71,9,58,149,114,63,200,226,218,218,217,217,216,159,167,174,183,190,196,203,207,211,166,103,80,61,44,105,83,64,116,169,117,55,180,234,219,219,220,218,217,160,168,175,182,190,195,202,205,211,196,143,90,63,49,65,142,161,165,141,98,65,194,229,219,220,219,219,218,161,169,177,183,191,196,202,205,216,208,154,100,90,99,115,212,221,183,134,75,83,220,223,219,220,221,217,212,163,172,180,186,191,197,203,207,213,210,173,128,111,103,131,215,209,163,125,69,110,235,227,222,225,197,173,209,156,166,175,183,191,199,206,212,216,208,179,140,112,106,125,205,201,150,109,61,140,227,200,204,202,152,148,211,85,87,92,98,105,110,113,122,127,187,183,143,129,129,112,193,191,139,93,61,133,197,165,146,192,108,157,197,79,81,84,85,83,84,85,86,76,135,189,156,140,137,102,164,172,122,79,71,167,157,172,140,154,93,179,184,82,84,86,88,89,91,96,98,90,108,193,163,138,130,91,119,140,89,64,122,175,145,152,160,107,105,190,178,82,85,86,86,90,89,89,93,83,157,223,163,132,113,81,93,96,71,80,151,167,146,147,148,93,143,179,179,81,84,87,86,89,89,89,91,84,188,219,160,129,101,85,87,82,57,131,147,129,146,139,128,125,153,173,179,80,82,86,86,85,87,90,88,94,191,202,160,132,115,96,82,71,59,168,152,87,137,140,129,149,144,185,173
13,149,158,165,167,171,177,184,188,192,194,196,199,203,206,207,209,213,214,215,216,216,217,218,216,216,216,218,219,149,159,167,170,173,180,186,189,192,195,197,201,204,207,210,212,214,215,216,217,218,217,218,219,219,218,219,220,152,163,170,171,176,182,189,192,195,198,200,203,206,208,211,214,216,214,214,216,219,224,222,221,220,222,221,221,155,166,172,173,177,183,189,193,196,199,202,205,208,210,213,215,216,229,236,220,175,197,223,222,227,222,223,223,156,166,173,175,179,185,191,195,199,202,205,208,210,213,215,220,218,239,255,220,161,123,155,174,203,230,223,224,158,167,172,176,181,186,191,197,201,203,206,209,214,212,225,205,177,181,221,225,161,113,140,171,120,206,231,225,160,169,174,176,183,188,193,199,201,205,208,211,212,224,255,221,188,145,181,231,201,120,153,173,111,190,236,225,161,171,175,177,183,189,195,201,202,207,207,219,207,171,230,255,218,165,111,211,218,125,149,184,115,205,235,227,163,172,177,179,185,190,196,201,204,204,215,249,213,153,138,251,240,191,109,126,192,120,164,204,132,222,232,229,164,173,179,181,185,192,198,202,204,212,245,243,233,192,113,190,249,181,126,69,114,92,161,184,155,240,228,231,166,175,180,182,188,196,199,203,204,239,215,208,244,208,129,132,234,167,120,69,92,128,162,154,126,223,236,232,168,179,181,183,191,198,202,201,226,253,214,185,224,192,133,110,211,172,120,74,134,180,174,154,133,167,244,231,170,178,183,186,193,199,203,204,239,232,198,172,209,162,120,87,199,203,123,119,210,203,171,130,138,130,222,238,172,180,184,188,195,203,205,214,250,225,197,152,186,151,116,61,174,202,119,193,231,198,168,138,132,116,210,243,175,183,185,188,199,206,208,217,255,236,211,162,148,156,100,75,165,209,191,232,213,184,160,135,115,127,238,238,178,185,187,192,202,209,211,223,255,242,216,178,132,131,132,182,230,242,245,224,199,169,150,132,100,180,249,236,181,188,189,195,204,212,213,230,255,253,220,182,177,180,189,216,237,235,234,216,186,164,142,118,106,229,242,239,183,190,192,198,208,214,214,234,255,255,231,197,203,187,190,226,229,239,224,203,178,157,136,103,129,249,240,241,186,193,195,203,212,218,219,234,251,255,242,214,210,188,200,238,226,229,211,186,164,145,129,88,192,254,242,243,189,195,198,206,215,222,225,226,247,255,246,224,210,192,202,230,231,208,193,171,155,142,105,146,253,246,246,245,192,198,201,208,217,223,228,225,241,249,243,232,216,203,199,217,225,200,179,160,149,126,127,247,251,248,247,247,194,201,203,211,219,224,229,232,230,250,245,237,232,220,201,209,217,194,163,149,138,114,222,255,248,251,250,248,197,202,205,213,222,227,231,236,222,250,244,237,234,219,197,201,202,183,145,142,117,177,255,250,252,254,250,252,199,205,207,215,224,231,233,238,227,247,226,210,220,211,194,194,190,171,147,129,127,248,255,255,255,251,255,246,200,206,208,217,226,232,235,240,230,248,228,212,229,224,208,186,183,166,157,113,166,255,255,255,255,255,242,133,201,205,209,219,226,231,235,240,228,250,241,223,242,227,212,182,178,165,159,107,190,255,255,255,255,208,122,86,202,206,209,220,227,232,236,241,233,245,253,242,254,231,214,188,177,165,157,105,200,255,255,255,159,88,72,77,202,208,211,221,228,233,237,244,231,231,255,248,251,228,209,192,179,167,154,103,195,255,255,195,98,97,85,57
18,194,198,201,204,207,209,213,216,218,220,223,225,226,228,230,230,230,230,231,229,230,231,231,232,232,233,233,233,196,200,202,205,208,211,215,219,222,223,225,227,228,230,230,230,232,232,235,237,231,234,234,234,235,235,235,235,198,201,203,207,210,214,216,220,224,226,227,229,231,232,235,235,233,223,195,213,244,235,234,241,236,237,239,238,200,202,206,208,213,217,218,221,225,226,231,232,233,233,231,229,255,220,174,139,198,202,178,207,247,239,240,240,200,204,208,212,215,218,220,224,226,229,232,234,236,235,197,169,223,200,141,139,112,179,178,133,213,248,241,242,203,206,208,213,217,219,224,226,230,231,233,227,245,255,190,161,204,179,127,128,110,174,200,142,142,254,242,243,206,208,211,216,219,223,227,229,232,233,240,198,176,230,216,190,213,187,165,157,137,143,175,146,127,249,245,245,207,210,213,217,222,226,227,231,233,239,255,215,181,160,222,204,187,214,205,204,194,159,128,122,132,250,247,247,208,212,214,218,222,225,229,233,233,245,248,247,220,163,165,208,162,189,225,217,217,181,122,92,132,255,248,248,210,213,217,221,224,227,230,233,236,246,211,241,218,188,127,163,177,136,192,217,211,174,131,94,133,255,247,250,211,215,219,222,227,231,234,233,238,247,175,172,203,168,108,120,165,119,122,176,201,190,153,99,150,255,248,252,212,216,219,224,228,232,234,236,238,250,198,162,188,134,97,103,137,110,93,123,211,212,171,110,142,255,249,254,213,218,220,225,228,232,234,236,239,255,232,188,175,134,101,92,128,105,80,97,204,233,187,141,107,237,255,252,214,218,223,225,229,232,235,239,240,255,222,175,158,136,105,86,134,113,65,178,238,247,212,158,104,149,255,253,216,219,224,227,231,234,237,241,241,250,243,215,175,141,114,103,116,91,159,255,254,239,207,157,125,131,255,255,218,220,224,227,231,235,239,243,241,253,250,221,178,144,126,120,110,151,248,255,255,239,193,148,120,150,255,255,218,221,226,228,231,235,239,243,243,254,254,228,188,159,145,148,150,221,255,255,247,224,184,136,109,173,255,254,220,223,227,229,233,237,239,243,245,251,254,235,205,184,173,150,162,232,255,255,228,194,163,131,103,202,255,255,218,223,226,230,233,238,241,244,243,249,251,237,214,189,177,159,161,217,255,255,216,186,149,126,108,223,255,255,218,222,228,231,234,237,241,246,247,246,249,239,217,189,183,185,159,204,255,246,201,169,139,119,118,246,255,255,217,222,228,230,233,237,241,242,247,247,244,238,223,200,206,196,159,184,255,226,189,152,131,114,136,255,255,255,218,221,226,228,232,236,241,240,245,248,242,233,226,210,201,203,167,169,249,209,172,140,124,109,159,255,255,255,218,223,227,230,233,236,243,242,244,247,244,234,228,213,199,199,174,153,228,197,150,131,124,105,182,255,255,255,221,225,229,231,233,238,242,243,245,250,248,243,237,215,196,185,162,135,205,173,133,122,123,114,230,255,255,255,221,224,229,232,235,239,241,244,246,249,241,255,236,204,181,162,131,133,178,150,132,127,111,164,255,255,255,255,220,224,228,232,236,239,241,243,247,245,240,255,230,197,176,143,134,138,169,144,132,126,118,231,255,255,255,255,220,225,228,232,236,240,241,244,248,242,248,255,235,208,189,160,146,150,168,135,137,104,166,255,255,255,255,255,220,225,227,231,235,239,241,243,246,239,249,255,242,218,203,164,139,167,157,137,125,101,218,255,255,255,255,255
3,164,164,165,164,165,165,165,167,165,164,164,162,161,161,161,160,159,158,155,153,151,149,148,147,145,144,143,140,165,165,167,167,167,166,166,168,166,165,166,163,162,162,161,160,153,157,156,154,152,150,148,148,146,144,143,141,167,167,168,168,168,167,168,168,168,167,166,164,163,163,158,178,111,133,161,154,154,152,150,148,146,145,145,143,170,168,169,170,169,170,169,169,169,168,168,167,165,162,169,172,86,136,164,155,154,153,153,151,149,147,146,144,171,171,173,173,171,171,171,171,171,170,169,169,169,162,188,140,83,158,163,158,156,154,154,152,151,148,145,145,174,174,175,176,174,174,174,173,172,172,170,171,167,176,189,100,112,169,161,162,161,159,156,155,153,151,149,146,176,176,176,178,177,177,176,177,176,173,173,173,167,200,170,86,140,173,165,165,163,162,158,156,154,153,151,149,177,178,179,180,178,179,179,178,178,176,177,172,188,193,132,86,163,174,169,168,164,162,161,159,157,155,152,152,180,182,183,182,183,182,181,181,180,179,180,176,196,169,91,118,169,158,166,168,170,165,161,161,159,158,157,153,182,184,185,185,185,184,185,184,183,183,181,179,189,175,134,145,166,158,166,158,151,165,166,161,163,162,160,157,184,185,187,187,186,186,187,186,186,185,183,182,193,199,180,148,148,150,153,168,149,111,161,169,156,158,163,159,187,187,188,188,188,189,188,187,187,186,186,183,213,187,160,164,153,130,123,109,138,120,104,135,141,112,154,165,190,190,189,189,190,192,191,189,189,190,184,196,217,189,167,151,134,117,90,92,68,127,128,99,111,105,160,165,192,192,192,192,192,193,192,191,191,190,192,221,205,154,105,92,127,116,99,91,76,74,112,90,78,154,169,165,194,194,195,194,194,194,193,193,192,191,215,222,162,108,72,53,144,173,118,94,83,80,61,74,115,177,167,167,195,195,196,196,195,195,195,196,191,205,232,195,121,83,66,55,88,194,186,162,111,75,82,81,136,178,168,168,196,197,198,197,198,198,197,199,185,220,227,172,116,89,62,54,47,100,182,209,132,69,95,87,160,178,170,169,199,200,199,199,200,199,199,201,184,211,209,174,117,73,57,51,55,48,80,132,78,93,101,101,175,177,173,171,200,200,200,201,200,200,200,202,189,202,218,185,127,84,59,56,62,73,74,70,72,104,101,111,182,176,174,171,201,203,202,203,202,202,202,204,188,199,226,186,143,101,68,63,75,83,94,108,99,102,100,124,187,177,175,174,202,203,204,204,204,204,203,205,189,196,233,195,149,110,86,65,79,95,114,124,112,98,88,140,189,177,178,177,203,205,205,205,205,205,204,207,190,190,236,198,154,124,104,70,79,111,126,126,116,94,105,177,184,179,179,178,204,203,205,206,207,207,207,209,193,184,227,194,162,128,108,78,82,113,120,115,106,97,168,193,184,183,180,178,205,206,208,208,207,207,207,209,196,183,225,199,167,130,104,85,84,106,112,108,94,120,192,187,185,184,182,180,207,208,208,209,210,209,209,211,201,181,216,199,166,129,105,95,88,102,108,104,96,164,195,188,187,186,183,181,207,208,209,209,209,210,210,211,203,191,216,190,160,129,113,104,91,98,103,99,148,196,191,190,187,186,184,182,208,209,209,209,209,209,209,211,204,190,220,189,163,137,119,105,97,99,102,143,199,194,193,191,189,187,184,182,208,210,209,210,210,211,211,212,201,188,213,181,160,137,112,102,103,99,124,196,199,195,194,193,192,189,185,183
23,115,117,120,129,137,146,152,155,157,161,167,170,173,176,177,179,182,184,186,186,185,186,186,186,187,187,186,185,115,117,121,130,139,147,154,157,159,164,169,172,175,177,178,180,184,185,186,187,187,188,188,188,188,187,187,186,115,118,122,131,140,148,155,158,159,165,169,173,176,178,180,182,185,186,188,189,189,190,190,189,189,189,188,188,116,118,122,132,141,149,156,158,160,165,171,175,178,180,183,184,186,188,190,190,190,190,190,190,190,190,190,189,117,119,122,132,142,150,157,160,163,168,172,177,178,180,183,185,187,189,189,190,191,190,191,190,190,191,191,188,117,119,124,133,143,151,157,160,164,168,173,177,179,182,185,186,188,190,190,191,193,193,192,191,191,191,191,190,116,119,124,134,143,153,159,160,164,170,175,178,181,184,186,188,190,190,193,193,191,192,190,193,195,192,190,191,117,119,125,135,144,153,159,162,165,171,176,180,183,185,188,189,190,193,193,190,214,222,200,193,190,192,193,191,117,119,126,136,144,154,160,162,166,172,177,181,184,186,189,191,193,192,197,229,242,208,205,185,136,187,196,193,117,119,125,136,146,155,161,164,167,174,179,182,185,188,190,193,192,201,248,223,191,136,161,168,170,197,195,195,117,120,126,137,147,156,163,164,168,174,179,184,186,189,190,194,190,231,255,158,118,173,199,199,202,198,197,196,117,119,126,138,148,158,163,165,169,175,180,184,188,190,193,194,196,249,250,191,202,193,188,202,199,199,198,197,117,119,126,138,148,157,164,166,171,177,181,186,190,189,192,194,216,255,252,255,244,164,156,211,199,201,200,199,117,120,128,139,149,159,165,167,172,178,182,189,187,200,219,227,246,203,224,214,203,149,129,189,200,203,202,200,117,121,129,140,150,161,166,169,174,178,185,185,203,233,227,233,248,211,236,237,210,147,118,162,184,208,202,203,118,120,129,141,151,161,168,170,175,181,184,195,233,216,209,214,214,197,216,228,197,138,110,132,145,213,204,204,118,120,128,141,152,162,169,171,175,182,181,238,254,231,222,223,212,201,201,170,154,137,106,134,119,164,211,205,118,120,129,141,152,162,169,171,176,182,186,252,254,233,201,202,215,211,202,155,134,144,98,131,135,127,192,211,118,119,129,142,152,163,170,171,176,182,189,248,250,219,178,152,162,179,183,143,141,141,92,129,136,142,203,209,118,120,130,143,153,164,169,171,176,182,192,254,253,193,146,128,101,188,181,134,148,122,109,139,134,172,215,208,117,119,131,143,153,164,170,172,179,182,194,255,241,188,149,114,121,189,161,137,127,96,124,145,147,209,212,212,117,119,131,143,154,165,171,173,180,181,202,255,232,186,153,123,115,125,125,109,102,110,125,136,176,220,212,213,115,117,130,143,153,164,169,171,179,179,209,255,226,184,153,121,92,98,103,114,130,131,130,135,202,216,213,213,114,116,129,142,154,164,171,172,180,180,219,255,221,185,153,129,110,121,133,138,144,137,127,169,219,215,214,213,113,116,128,141,153,165,171,173,181,181,218,248,214,182,155,134,119,124,142,146,146,132,145,217,216,216,216,215,112,115,127,141,154,164,171,173,180,181,219,240,205,183,161,140,130,126,144,149,148,127,180,224,215,216,216,215,108,112,124,139,153,163,170,172,179,181,227,231,208,197,173,149,136,127,142,147,139,149,216,219,217,216,216,216,110,114,125,138,150,161,167,170,178,183,239,236,221,209,184,154,140,132,140,141,141,202,221,215,216,215,215,215
1,181,182,182,182,183,183,182,183,182,181,180,180,179,177,176,174,172,170,171,171,170,169,167,165,158,102,46,32,182,183,184,184,184,184,184,183,183,182,181,181,180,178,176,175,169,154,164,172,172,170,169,167,155,88,42,34,183,184,185,186,186,186,186,185,185,184,183,182,181,179,167,155,158,130,143,167,170,171,170,168,154,82,42,34,185,186,187,188,188,188,187,187,186,186,184,183,182,181,156,117,129,117,117,143,150,169,171,169,157,91,43,29,187,188,189,189,190,189,188,188,188,187,185,179,173,176,150,101,110,111,110,130,120,159,172,171,161,95,41,29,188,189,190,191,191,191,190,189,189,188,186,171,139,141,138,97,116,120,110,128,106,148,173,172,164,104,47,39,189,190,192,193,193,193,192,191,190,189,188,162,114,112,132,97,116,123,102,121,101,141,173,173,169,132,93,91,190,192,193,194,194,194,194,193,192,192,189,157,107,106,125,92,103,111,101,130,106,136,173,175,171,150,141,140,192,193,195,195,195,195,195,194,193,194,194,159,109,100,112,87,99,102,101,134,108,128,173,177,172,154,142,124,193,195,196,196,196,196,196,196,195,196,195,154,108,103,112,90,109,107,98,126,104,125,174,178,175,161,142,115,195,196,197,198,198,198,198,197,196,197,194,153,110,109,119,91,103,104,97,123,104,127,176,179,177,169,153,137,196,197,199,200,199,199,199,199,198,200,196,157,116,97,100,76,84,87,103,131,109,129,176,180,178,174,161,150,197,198,200,200,200,200,200,199,199,201,191,152,112,86,80,70,76,73,101,126,105,127,177,181,179,177,170,155,198,200,201,201,201,201,201,200,200,203,189,156,131,116,110,98,89,90,109,113,93,133,181,182,181,179,176,168,200,201,201,202,203,202,202,202,202,209,195,167,147,134,149,133,123,122,129,110,90,150,184,184,182,180,179,177,201,202,202,204,204,204,204,204,206,214,192,159,133,114,135,144,146,138,133,113,101,159,186,185,183,181,180,178,202,203,204,205,206,206,206,205,209,215,184,145,117,93,90,116,135,132,139,128,105,144,185,186,184,181,180,178,203,204,205,207,207,207,207,207,213,218,188,152,120,90,76,81,108,124,151,149,113,121,177,186,185,183,181,179,205,206,206,207,208,208,208,208,214,216,190,160,122,97,84,88,132,140,150,159,124,102,158,186,186,185,183,181,206,207,208,209,209,209,209,209,215,213,190,161,117,100,91,122,169,165,150,148,125,91,131,184,186,185,183,181,207,208,209,210,210,210,210,210,214,211,192,160,115,102,105,157,184,171,148,129,110,88,120,182,188,186,184,182,208,209,210,211,212,211,212,211,214,210,191,155,117,101,123,178,186,166,140,119,95,83,135,186,188,187,185,182,209,210,211,212,212,212,213,212,213,207,187,153,125,101,138,183,178,156,130,110,87,89,161,190,189,187,185,185,209,210,211,212,212,212,211,210,209,202,183,158,133,106,147,180,167,146,123,100,79,113,181,192,190,187,186,186,208,209,210,211,210,211,210,208,205,198,181,163,138,112,148,170,153,136,115,87,83,150,190,191,189,187,185,178,208,210,211,212,212,211,210,208,203,196,180,165,135,109,138,153,138,121,98,77,115,180,193,192,189,186,174,141,209,211,212,212,213,196,180,192,191,185,176,157,118,99,120,131,117,98,77,96,165,193,192,184,169,150,118,81,209,211,212,213,210,158,108,131,158,165,157,132,97,92,106,113,98,76,71,139,191,195,177,138,101,75,58,51
14,120,123,128,130,132,134,135,137,139,139,140,141,141,142,142,143,142,142,143,141,141,141,140,140,140,138,138,137,121,125,129,131,134,136,138,139,141,141,141,143,143,145,145,145,144,145,144,144,144,143,142,141,141,140,140,139,122,126,130,133,136,138,140,141,142,143,145,145,146,147,147,147,146,147,149,147,147,145,144,143,143,142,142,140,124,127,131,134,137,140,141,143,145,145,146,147,148,149,148,150,146,148,139,144,147,149,146,145,146,145,143,142,126,129,133,135,138,141,143,144,146,147,148,150,151,150,150,150,164,154,131,134,133,130,151,148,146,147,146,145,127,131,135,138,140,142,143,146,146,147,150,152,153,152,152,169,165,155,142,132,124,109,107,145,151,147,147,147,129,133,137,140,141,142,144,148,149,150,151,153,153,153,168,170,170,148,141,156,131,104,71,91,155,149,149,148,129,135,138,140,143,145,147,148,151,151,153,154,153,160,171,163,158,101,63,128,106,136,71,38,106,160,149,150,131,135,138,141,145,147,148,150,152,153,155,156,162,175,164,107,79,71,46,42,72,160,108,52,77,157,152,152,134,137,140,144,147,147,150,151,153,155,155,165,182,180,151,110,69,37,36,35,29,126,134,78,57,149,155,153,134,139,142,145,147,149,151,153,156,156,157,180,179,149,114,94,75,47,32,35,47,123,110,88,59,125,163,153,133,139,143,146,148,151,153,154,157,152,175,185,168,139,84,54,55,44,34,54,140,166,149,129,69,104,166,153,135,139,144,147,150,151,154,157,153,166,194,175,163,136,88,55,37,33,46,158,168,153,148,110,53,122,166,157,136,140,144,148,150,152,155,155,159,193,183,172,159,116,87,62,30,27,134,175,162,154,137,109,46,89,172,156,138,142,146,150,152,153,157,155,187,196,180,172,148,122,92,48,22,36,83,129,178,141,121,99,60,50,148,164,138,143,147,150,153,157,155,169,201,192,178,163,145,112,78,40,38,50,46,59,145,113,121,98,78,49,132,170,139,145,149,151,155,159,155,192,199,187,172,160,138,91,62,39,65,74,76,73,65,102,122,103,58,84,166,163,141,145,149,153,154,154,170,201,189,180,165,148,119,86,60,58,81,85,86,92,77,99,112,80,63,158,167,164,141,146,150,153,163,159,194,195,183,171,154,143,110,88,65,72,86,89,88,85,86,90,91,60,142,173,164,165,141,145,152,155,104,155,209,189,174,163,151,131,116,88,67,78,90,87,80,78,89,62,49,136,176,167,168,166,142,146,159,119,51,69,153,183,156,141,129,120,99,67,67,71,81,83,74,74,58,50,125,178,168,170,169,169,142,150,143,66,64,57,55,102,137,128,98,72,47,48,58,58,68,72,59,58,109,160,178,170,172,170,169,169,143,154,93,63,57,55,53,50,60,64,55,42,36,39,42,42,43,43,67,144,184,178,174,174,172,171,171,170,151,120,61,63,52,51,50,55,41,7,21,23,19,18,20,14,69,125,168,182,174,175,176,174,174,173,171,171,141,78,62,53,51,49,48,45,57,21,7,17,13,11,11,4,50,188,179,176,177,177,176,175,175,175,173,172,97,60,55,52,51,48,44,44,51,30,0,12,11,9,12,0,70,186,175,178,177,178,177,176,176,175,174,174,71,57,46,47,45,39,39,40,53,28,0,8,7,6,9,0,138,191,178,180,179,179,178,177,176,175,175,174,70,58,50,39,28,68,56,31,55,16,0,7,4,5,3,17,169,184,180,180,180,179,178,178,177,176,175,175
7,207,207,206,207,207,207,207,207,206,206,205,204,203,202,201,201,200,199,197,196,193,192,191,188,187,185,183,181,209,208,208,208,209,209,209,208,208,207,208,207,206,205,204,202,201,199,199,198,196,194,193,191,189,187,186,183,209,209,210,210,210,210,211,211,210,209,210,209,208,207,206,204,203,202,201,200,198,196,194,193,192,190,188,186,211,211,212,212,212,212,212,213,212,212,211,210,210,209,207,206,206,204,203,202,201,199,197,196,194,193,190,188,212,213,213,214,214,214,213,214,214,214,213,211,211,210,209,209,208,206,203,199,193,184,181,182,185,194,193,191,214,215,215,215,214,215,214,215,215,216,215,214,213,209,204,193,178,167,160,162,150,135,155,176,158,187,195,192,216,216,216,216,216,216,216,217,215,209,202,194,180,166,155,150,135,125,134,129,124,120,134,147,138,186,196,193,217,217,217,217,218,218,210,190,169,157,150,151,148,143,139,132,121,109,111,103,104,97,87,106,137,161,184,195,219,218,218,219,218,205,181,160,134,131,138,134,134,131,128,116,112,115,107,102,107,100,96,92,86,101,128,188,217,218,219,215,196,181,176,157,125,115,111,108,112,118,127,134,138,135,109,90,104,96,86,80,71,92,106,180,218,220,210,186,176,177,172,158,142,128,124,129,139,145,142,141,131,121,95,76,82,76,74,79,83,101,142,194,220,209,182,172,174,172,167,164,157,144,139,135,137,133,122,118,107,95,82,89,117,142,161,175,186,193,199,200,211,182,173,173,174,170,171,167,149,115,97,101,102,91,84,109,129,147,168,192,208,211,210,209,208,205,202,201,184,179,177,177,175,173,167,151,127,83,72,75,66,59,57,114,202,219,218,217,214,211,210,209,208,206,202,201,179,182,180,177,175,165,146,136,114,84,70,56,51,51,49,48,145,220,217,215,213,212,210,209,207,205,203,202,180,181,179,180,170,152,139,132,126,124,101,61,51,52,48,70,171,217,215,214,212,211,208,207,206,204,203,197,176,179,183,178,159,138,129,126,133,138,102,59,51,47,67,166,218,217,215,214,213,212,209,208,207,203,182,125,177,181,178,161,134,120,118,115,118,109,74,51,44,38,114,222,219,218,216,215,214,213,211,199,172,130,88,64,176,174,158,137,125,122,120,108,100,89,71,55,49,45,123,222,219,219,218,217,215,184,143,106,76,60,53,55,167,152,136,132,128,123,113,92,80,86,86,62,50,90,196,223,216,196,187,182,151,95,69,55,53,52,53,55,145,135,132,125,113,98,83,76,83,95,83,57,74,160,183,167,128,85,78,72,64,57,62,52,41,46,52,55,136,134,122,103,91,86,83,83,82,76,64,77,94,96,89,82,54,44,53,43,51,45,46,49,31,38,47,53,134,126,108,99,97,93,84,74,68,69,94,103,86,74,67,62,54,32,45,38,40,39,38,38,26,32,42,50,117,99,89,87,85,80,73,72,86,105,106,86,69,61,54,49,45,32,32,37,32,34,34,30,21,27,41,47,77,64,71,77,82,84,91,105,113,104,71,61,57,52,44,45,40,35,21,32,28,30,32,25,21,29,39,46,51,84,109,113,118,115,113,113,106,79,56,43,48,49,38,40,35,34,16,24,28,27,32,22,22,31,36,42,64,111,118,117,121,115,112,106,85,52,44,38,38,44,31,33,27,30,18,17,27,27,31,19,25,31,37,41,77,115,119,116,117,115,108,91,62,33,43,40,29,40,26,30,21,28,24,13,25,27,29,20,28,31,37,38
23,131,134,135,138,143,147,150,153,155,157,159,160,161,163,164,165,166,165,166,166,165,165,165,164,163,163,162,162,132,135,135,140,144,147,151,152,154,158,159,161,162,164,164,166,167,166,166,166,166,166,166,165,165,164,164,163,132,135,136,141,145,148,151,153,156,159,160,162,164,164,165,167,167,167,166,166,167,167,166,166,166,166,165,164,133,136,137,141,145,148,152,155,156,160,161,163,165,167,167,167,167,167,167,169,170,170,171,168,166,165,165,165,134,136,138,142,147,151,154,156,158,161,162,164,165,167,169,169,169,170,169,169,167,153,148,161,169,168,167,166,135,137,138,143,148,153,156,158,160,162,164,165,166,167,169,171,171,170,169,167,161,150,143,136,155,157,169,166,136,137,138,144,148,153,156,158,160,163,165,166,167,169,170,170,172,175,163,169,164,132,152,146,118,97,171,168,135,139,141,145,149,153,156,159,161,165,166,168,170,171,173,172,178,173,137,144,117,75,117,105,93,138,173,168,137,140,142,145,150,154,157,161,163,165,167,170,170,172,172,177,177,169,117,67,109,146,174,161,168,176,171,171,138,141,143,147,151,154,157,160,163,166,168,169,170,173,173,182,173,171,116,94,188,175,177,176,174,172,172,171,139,140,143,147,152,157,159,162,165,166,168,170,171,171,171,176,165,167,149,149,164,141,124,171,175,173,173,172,140,141,144,149,153,158,161,163,165,168,171,171,175,162,158,156,166,171,172,179,167,144,71,141,184,172,173,173,140,142,144,149,154,157,161,164,165,168,170,177,179,158,140,140,146,145,139,152,147,134,72,128,187,173,174,174,141,142,144,150,155,158,162,165,166,169,171,180,173,148,123,115,150,158,150,138,121,125,80,119,188,175,176,174,142,143,145,150,156,159,162,165,169,170,174,185,173,146,127,123,133,149,154,160,144,111,67,109,188,175,176,176,142,143,146,152,157,160,162,167,169,169,182,186,175,161,159,159,142,122,112,123,133,108,51,117,193,175,177,177,143,144,147,153,157,161,164,168,170,172,187,185,175,160,160,150,162,144,123,112,88,77,52,112,178,180,178,177,142,144,148,154,157,161,165,168,169,184,189,190,170,148,144,117,159,160,133,107,80,58,81,118,132,190,177,179,142,144,148,153,158,162,167,164,180,196,189,181,143,106,109,94,98,139,144,98,66,63,86,107,73,137,188,178,144,145,149,154,158,164,162,175,198,196,183,161,141,107,69,77,93,169,158,89,65,62,85,82,56,55,173,182,144,146,148,154,159,161,169,197,198,188,172,152,140,113,64,94,146,163,132,74,60,57,83,75,65,47,147,189,145,146,148,154,159,159,195,201,191,177,159,156,138,101,61,57,87,103,89,56,53,73,81,76,54,78,173,183,145,147,149,155,156,175,206,196,187,171,158,150,125,98,74,50,54,62,68,65,59,84,81,66,99,173,187,181,144,144,152,157,163,204,195,190,179,161,150,138,115,91,67,63,83,88,85,80,69,63,83,139,190,186,182,183,143,145,136,129,195,201,185,179,166,152,140,126,103,82,63,76,93,95,89,74,62,107,178,190,183,183,183,182,142,151,84,48,188,198,177,166,150,138,127,114,93,77,68,84,89,83,61,70,151,192,187,183,184,183,183,183,146,129,59,49,77,150,168,151,142,131,121,106,89,70,67,79,75,55,80,167,194,184,185,185,184,184,183,183,148,83,46,53,48,57,98,118,119,115,106,98,74,50,50,59,61,102,180,193,184,186,186,186,186,184,184,184
0,179,181,183,184,186,188,188,189,190,191,192,192,193,193,193,193,193,193,194,193,192,190,190,189,189,189,189,188,180,182,183,186,187,188,190,191,192,193,193,194,194,194,194,194,193,194,194,194,193,191,191,191,190,189,190,188,181,183,185,187,188,189,191,192,193,195,195,195,195,195,196,196,194,194,194,195,194,193,192,192,191,190,191,190,182,183,185,187,187,188,191,193,194,196,195,196,195,196,196,196,195,195,195,196,195,194,193,192,191,190,192,191,182,185,186,187,188,190,193,193,195,197,196,196,188,180,190,193,180,178,192,195,195,193,192,193,193,192,193,192,182,185,187,188,190,192,193,194,192,175,182,205,180,145,145,191,164,127,158,199,194,181,163,194,195,194,194,194,184,186,188,189,190,193,193,199,197,167,140,188,192,152,118,190,167,125,111,157,171,183,138,176,196,195,195,195,185,187,189,189,192,193,194,211,210,189,140,137,192,149,120,193,167,125,87,125,145,186,163,143,177,195,195,195,187,187,189,191,194,194,201,204,202,194,142,106,178,152,128,197,166,113,109,148,127,181,185,160,140,166,196,196,187,189,191,192,194,194,210,191,184,182,124,105,173,143,131,188,152,96,123,152,106,171,204,179,136,112,192,197,188,190,192,193,193,196,215,194,180,166,108,115,165,126,121,167,136,87,123,150,116,194,211,174,122,106,191,197,189,190,192,194,194,208,211,185,172,158,114,118,150,113,106,149,124,80,127,145,145,197,188,152,97,143,200,198,190,192,194,195,195,219,213,176,144,140,108,109,150,112,98,151,116,102,157,157,166,172,151,119,95,182,201,200,190,193,194,196,197,221,212,186,155,114,77,110,165,117,104,171,164,172,167,156,138,145,124,90,127,200,201,201,191,193,194,196,200,222,206,188,171,144,103,99,126,105,115,194,196,180,161,146,116,113,106,80,163,204,201,200,191,193,194,196,206,225,207,189,175,161,126,97,111,139,189,208,196,172,152,135,105,94,88,88,189,204,201,201,192,193,195,196,210,227,212,192,178,170,142,114,121,175,212,207,188,162,140,120,94,84,73,137,204,203,201,202,193,194,195,196,210,227,215,195,180,172,150,121,131,190,215,201,181,154,129,105,84,72,101,193,204,203,202,201,193,194,196,198,205,226,217,200,184,169,150,125,155,195,205,192,176,145,116,91,75,79,169,206,205,205,203,202,192,195,197,198,205,226,216,203,187,167,149,141,178,191,184,180,165,132,100,80,69,144,205,207,205,205,205,205,194,195,198,197,208,227,219,212,189,167,158,164,187,172,168,166,148,117,87,68,116,200,208,208,207,207,207,207,194,196,197,195,218,226,221,217,193,173,164,172,179,157,160,150,128,99,75,91,190,210,209,208,208,207,207,207,195,196,195,200,222,216,216,211,183,171,169,168,157,152,150,137,112,83,84,170,209,209,208,208,208,207,206,206,194,195,193,207,207,193,200,194,170,166,166,156,147,144,130,117,90,80,157,206,208,209,208,208,207,206,206,206,194,192,192,211,193,173,172,168,159,159,158,144,135,131,113,94,83,143,200,209,209,209,208,207,206,206,206,206,194,184,202,208,177,163,156,147,147,164,154,123,126,122,95,78,142,200,208,211,210,210,209,208,208,207,207,207,188,186,216,202,163,147,148,133,141,161,137,111,123,108,78,123,196,210,210,210,210,210,209,209,209,208,208,207,179,203,217,198,158,135,137,125,140,150,125,109,113,86,88,180,208,211,211,210,210,210,209,209,209,209,209,207
3,150,153,156,158,160,163,164,165,166,166,166,165,164,164,164,164,162,160,159,158,157,157,155,153,151,150,147,146,153,156,158,160,163,165,167,168,169,169,169,167,167,167,166,166,170,161,143,160,159,158,157,155,153,151,150,148,154,158,161,163,166,168,169,170,171,171,171,170,170,169,168,167,182,160,107,152,162,160,159,158,156,154,152,150,157,160,163,165,168,170,171,172,173,173,172,172,172,171,171,169,183,158,98,138,165,163,161,160,158,156,154,152,159,162,165,168,170,172,174,175,175,174,174,174,174,174,173,171,182,162,103,133,168,165,164,163,160,158,156,154,160,164,166,169,172,174,176,178,178,177,176,176,177,176,174,173,185,183,119,125,169,168,166,164,162,159,157,155,162,165,168,171,174,176,178,180,180,180,179,179,179,178,176,175,189,191,122,113,168,169,167,166,164,161,159,157,164,167,170,174,177,179,180,181,182,182,182,181,181,180,179,178,192,188,117,106,168,170,169,168,165,163,160,158,165,169,173,176,179,181,183,184,184,184,183,183,183,182,181,179,195,190,123,107,169,172,171,170,167,164,162,160,168,172,175,179,181,183,185,186,186,186,186,185,184,183,183,181,171,160,115,104,170,174,173,171,169,166,164,162,170,174,178,181,183,186,187,188,189,189,188,188,187,184,188,188,136,97,83,100,175,176,175,173,170,167,165,163,172,177,181,183,186,188,190,191,191,191,190,190,194,181,145,150,167,121,74,114,179,179,177,174,172,170,167,164,175,179,182,185,188,190,193,193,194,193,193,168,176,177,123,101,183,135,98,100,135,152,174,176,173,171,168,166,176,181,184,188,190,192,194,196,196,201,202,154,118,160,142,104,154,138,116,101,119,108,151,179,175,172,170,167,179,183,186,189,191,194,195,197,201,215,203,176,129,136,149,101,118,145,133,115,120,90,134,181,177,174,171,169,181,185,188,191,193,196,198,198,210,206,196,185,136,111,137,97,110,122,102,113,107,81,127,183,179,176,173,170,182,186,190,193,195,197,200,200,220,208,176,173,133,93,119,92,114,156,95,124,129,86,117,184,181,178,175,173,183,188,191,195,196,199,201,202,209,193,162,160,114,81,113,82,113,182,107,112,139,88,97,181,182,180,177,174,184,189,193,196,198,201,203,203,209,212,189,159,110,96,112,93,96,148,112,112,119,80,94,180,184,181,179,176,185,190,193,196,199,201,203,205,215,220,203,162,115,99,122,120,151,178,148,128,97,71,132,188,185,183,181,179,184,190,194,197,201,202,204,205,214,223,210,169,130,109,118,168,190,169,133,110,90,81,174,189,186,184,182,181,183,189,194,198,201,202,204,205,211,221,206,170,156,121,141,198,182,144,119,101,85,118,190,188,186,183,181,180,184,190,195,198,202,204,206,206,204,210,202,179,164,134,137,170,161,131,112,91,86,164,192,189,187,184,181,180,185,192,196,200,203,206,207,206,132,166,196,182,164,137,114,130,128,110,93,86,140,194,193,191,189,186,184,180,186,192,196,200,202,205,208,186,77,88,159,171,158,119,94,93,96,92,80,137,193,196,195,194,191,181,154,116,185,191,195,198,201,203,206,139,66,62,79,112,118,87,80,76,78,65,66,175,197,191,170,142,125,96,63,46,144,146,149,151,151,152,145,90,67,60,55,56,64,75,73,59,54,34,14,82,116,93,59,39,33,30,31,34,114,114,116,116,115,114,96,71,71,58,54,50,48,38,32,29,24,17,10,27,37,29,26,25,29,29,23,27
4,96,104,114,121,124,127,130,133,136,137,139,142,143,145,147,149,151,153,155,157,158,159,160,161,162,163,165,165,98,105,115,121,124,128,132,134,137,138,141,143,144,146,146,149,152,153,155,157,159,160,160,162,162,163,164,165,100,107,115,121,125,130,133,135,139,140,140,142,146,154,142,136,137,152,154,156,159,161,162,163,162,163,163,164,101,108,118,122,127,131,134,136,139,149,151,137,134,157,169,145,110,115,136,123,145,160,161,164,164,165,164,165,103,110,120,124,127,131,134,137,140,171,176,164,134,111,164,139,109,81,129,106,103,162,162,165,165,166,166,167,103,111,120,125,130,132,136,155,155,145,125,163,135,98,130,129,100,73,118,106,94,163,164,165,165,166,167,168,105,113,121,126,130,133,150,186,171,136,99,141,127,92,104,141,107,76,131,117,89,160,164,167,166,167,168,168,105,115,123,127,129,132,161,167,170,131,99,117,141,97,79,143,123,71,140,125,83,155,165,167,167,168,168,169,106,116,123,127,130,133,165,167,153,145,125,90,145,111,52,117,146,100,111,115,123,119,151,167,168,169,170,170,108,117,123,128,132,134,168,164,135,140,122,65,103,102,65,104,150,128,111,114,123,114,123,168,169,171,171,172,110,119,125,128,133,134,170,170,154,131,104,84,79,100,92,110,133,133,126,119,116,129,111,163,170,171,171,172,112,120,126,130,134,136,183,171,147,127,111,91,92,114,104,121,135,133,122,119,138,146,118,142,172,173,173,173,112,121,127,131,135,139,190,172,140,119,103,90,99,114,119,131,145,127,103,138,162,153,133,120,173,174,173,174,113,122,127,131,136,144,194,169,141,121,106,96,106,114,134,138,151,161,160,145,147,155,134,109,165,175,174,174,115,123,128,132,136,150,199,172,144,122,110,99,109,120,143,150,160,175,171,162,155,137,122,96,146,176,176,177,117,123,129,133,136,149,203,176,149,130,110,101,110,123,149,161,172,179,174,165,152,132,107,88,141,177,178,179,119,124,128,133,137,148,205,182,159,137,113,106,112,126,155,172,179,180,172,163,146,128,104,86,158,177,178,179,120,125,128,133,138,150,208,183,163,144,125,117,119,132,164,182,185,179,167,155,141,121,99,98,176,177,179,179,120,125,128,134,138,148,203,185,170,152,139,124,127,144,171,190,188,178,165,149,133,111,88,131,179,178,179,179,120,125,129,135,139,143,193,188,177,161,151,138,131,159,167,186,185,175,164,143,124,98,86,165,179,179,180,180,120,125,130,135,138,141,181,190,183,170,158,148,136,154,163,180,180,171,158,140,119,93,114,180,179,179,180,180,121,125,130,136,139,143,167,197,186,175,162,150,140,150,160,177,175,162,153,138,117,93,155,178,180,180,181,181,122,126,130,136,139,144,159,206,188,174,160,147,143,148,161,171,165,152,142,132,113,113,178,181,180,180,181,181,123,126,130,136,140,145,157,212,182,170,160,152,149,152,159,161,149,140,128,118,108,161,179,181,181,181,181,181,122,126,130,136,141,145,157,205,175,169,165,163,158,153,155,156,144,133,119,98,148,176,180,181,181,181,181,181,123,127,131,136,140,144,160,199,177,175,172,168,167,156,151,150,139,124,105,105,176,178,180,180,182,182,182,182,122,126,131,137,141,145,162,201,190,177,169,171,173,157,143,139,132,115,90,135,177,178,179,181,182,182,182,182,122,127,132,137,141,145,163,198,195,177,172,176,175,152,141,133,130,107,84,160,179,179,181,182,182,182,183,183
13,194,196,197,198,199,200,201,201,200,200,200,200,201,200,199,197,197,197,195,195,193,192,191,190,190,189,189,187,197,198,198,200,201,202,203,204,203,202,201,201,202,201,200,198,197,197,197,197,195,194,193,191,190,190,189,189,198,199,201,201,203,204,204,206,205,204,203,202,203,201,202,200,199,198,199,199,197,196,195,194,193,192,191,190,200,202,203,204,205,206,205,205,205,205,206,204,203,204,204,203,203,205,203,199,199,197,197,196,196,195,193,192,201,203,204,205,206,207,206,206,206,205,206,206,206,205,204,203,186,175,200,202,199,207,199,197,197,198,196,193,202,205,207,207,208,207,209,209,209,212,209,209,204,205,209,202,158,101,119,198,164,155,197,201,198,199,198,195,205,205,208,207,210,212,209,215,200,176,209,215,176,150,200,189,152,106,76,148,145,90,124,207,199,199,199,197,205,207,210,212,211,211,216,226,201,132,147,207,173,123,179,197,147,118,76,133,139,112,81,175,208,199,199,198,207,209,212,213,214,210,243,233,201,144,144,202,163,130,198,226,161,118,88,165,151,122,68,165,212,200,200,199,209,212,213,213,214,214,251,236,206,145,157,207,158,124,229,232,155,107,128,202,148,105,72,179,210,202,201,201,211,213,215,215,212,238,249,221,208,137,150,203,164,108,167,199,124,96,110,141,105,76,82,199,208,204,204,204,212,214,216,214,225,248,220,191,162,108,146,197,155,112,60,93,125,117,106,105,110,79,114,216,206,207,206,205,214,215,216,213,242,246,204,156,120,88,139,160,133,87,38,54,103,100,125,149,150,115,130,220,206,209,208,206,215,216,217,217,255,255,231,184,146,83,117,131,107,105,135,177,182,172,175,160,169,148,106,203,213,210,209,208,215,218,217,228,255,250,232,218,188,126,122,166,185,219,226,216,207,196,186,147,135,131,95,169,222,211,212,210,219,220,217,234,255,249,237,223,191,176,181,217,232,223,215,207,199,184,170,149,124,128,101,142,226,212,213,211,220,221,217,239,255,249,237,223,199,198,210,223,233,219,212,207,197,180,160,148,132,124,99,122,225,213,213,212,220,220,218,239,255,247,238,221,202,199,210,220,234,221,213,207,187,165,153,140,120,115,79,150,225,213,213,213,221,221,218,234,255,245,233,211,192,190,204,213,218,215,208,193,171,156,142,123,110,76,119,222,215,216,215,214,219,225,233,231,241,235,212,190,182,197,205,207,200,203,197,179,165,145,123,107,75,84,211,222,218,217,216,215,229,202,151,217,231,218,206,197,191,203,209,200,188,181,174,155,135,116,96,67,91,201,225,218,219,218,217,215,230,143,65,120,236,232,227,224,202,191,205,190,164,149,152,132,110,82,88,148,217,226,221,221,219,220,218,216,173,98,107,84,135,225,233,223,200,177,188,171,140,130,128,101,70,120,212,234,224,221,224,222,221,220,219,218,116,95,97,98,82,115,174,172,167,164,180,152,126,116,97,70,159,232,230,223,226,225,224,223,222,221,220,219,106,96,90,92,100,49,59,78,77,81,97,98,94,87,64,167,245,228,226,227,227,226,224,224,224,222,221,219,98,90,89,86,97,75,34,67,66,58,52,51,51,54,52,185,232,231,228,228,227,226,224,225,225,223,222,220,94,91,86,82,92,83,27,52,62,54,54,51,48,43,22,68,233,229,228,228,227,225,225,225,224,222,221,219,93,88,86,75,87,78,24,43,55,51,51,47,48,41,19,165,240,225,228,227,226,225,224,224,223,221,220,219
21,143,144,144,145,146,146,146,146,145,145,147,142,145,145,142,141,140,139,138,137,135,134,131,127,127,125,120,118,146,148,148,149,151,152,151,150,150,147,159,137,93,149,146,145,144,143,142,141,139,137,135,133,131,129,125,122,150,152,152,154,155,154,154,155,156,153,157,155,79,112,159,150,150,149,146,146,144,141,140,136,139,133,129,128,154,155,156,156,157,157,157,159,159,159,156,158,111,63,160,155,155,154,151,150,148,144,147,123,94,140,134,131,158,158,159,160,160,161,162,163,163,161,160,164,135,40,136,164,156,156,154,155,152,147,154,117,46,135,140,134,161,162,162,163,164,164,164,165,164,163,165,164,155,65,98,173,157,159,157,157,155,150,164,99,52,144,142,137,164,164,166,165,166,168,168,168,167,166,168,169,172,100,67,168,163,162,160,159,156,160,154,75,71,158,142,141,166,168,170,170,170,170,170,170,170,170,172,171,182,117,48,152,170,163,163,163,158,170,145,55,105,159,144,144,170,172,173,174,173,174,173,173,172,173,175,172,189,140,56,127,177,165,165,163,165,167,124,51,140,157,148,146,173,175,176,177,177,178,178,177,177,177,177,173,183,167,88,102,181,167,168,167,169,149,83,66,164,154,153,148,177,179,179,179,179,180,179,178,179,180,179,179,174,172,117,81,175,171,170,173,172,140,40,111,169,157,155,152,179,180,180,179,181,182,181,180,180,181,181,182,152,124,113,65,163,178,172,179,170,113,51,164,164,159,157,154,180,181,183,183,181,181,182,183,182,182,184,179,176,163,139,83,146,190,175,179,152,70,96,179,162,163,159,157,182,184,185,186,184,185,186,186,186,185,189,173,155,190,177,137,91,148,164,148,117,45,147,176,167,164,162,160,186,188,187,188,188,187,187,187,188,188,189,180,126,105,168,140,116,65,103,116,62,61,181,171,170,166,164,162,187,188,188,188,189,189,188,188,189,188,190,182,130,25,33,150,141,46,27,59,28,88,189,171,170,169,166,164,188,188,188,189,190,190,190,191,191,190,193,189,142,95,41,88,123,46,39,26,11,105,192,173,173,171,169,166,190,190,191,191,193,192,191,192,192,194,187,164,165,153,107,42,104,78,51,65,16,119,192,176,176,173,170,167,192,192,192,194,195,196,196,196,196,196,173,173,174,158,138,110,63,94,69,80,9,92,196,176,178,174,172,169,193,194,194,196,197,197,197,198,199,193,174,163,112,123,157,135,90,41,73,55,9,35,191,179,179,176,174,171,192,195,195,195,196,197,196,197,198,194,177,163,108,30,77,133,84,3,34,83,39,0,116,193,177,178,174,170,193,195,196,196,196,196,197,197,198,193,178,157,115,74,13,65,50,12,20,92,78,4,59,194,173,174,177,180,194,196,197,197,198,197,197,198,199,197,171,158,147,94,33,62,92,23,56,116,92,3,85,196,180,184,152,93,192,194,195,197,197,197,197,198,198,197,165,159,159,87,60,94,187,132,110,114,54,0,154,185,142,79,15,0,204,203,204,206,205,204,204,204,205,203,170,166,139,113,57,96,180,166,120,85,38,7,94,43,9,0,0,0,145,150,156,162,167,171,176,180,185,188,166,149,132,105,44,88,158,134,101,71,37,0,0,0,1,0,0,0,60,60,60,60,65,66,65,68,69,63,107,149,136,95,54,86,153,129,85,46,14,0,0,0,0,0,0,2,71,71,71,71,70,74,75,71,76,65,89,155,132,97,70,69,131,110,61,23,0,0,0,0,0,0,0,0
18,131,132,134,136,138,140,142,142,144,145,147,148,148,148,148,149,148,149,149,150,151,151,152,152,152,153,152,152,132,134,136,137,140,142,144,144,147,148,149,150,150,150,151,151,150,151,152,152,154,154,155,154,154,155,155,155,134,136,138,140,142,143,145,148,150,150,151,152,152,152,153,153,153,154,154,155,155,155,156,156,157,157,156,155,136,138,140,142,144,146,148,149,151,153,153,154,155,155,155,155,155,155,156,155,156,157,158,156,157,158,159,159,138,139,142,144,146,147,150,151,153,154,155,156,156,157,159,157,156,158,160,162,160,159,162,161,162,160,160,161,139,140,143,146,147,149,150,154,156,156,156,157,158,159,160,160,160,161,147,143,158,163,142,122,139,163,163,163,141,142,145,148,149,151,153,155,156,157,158,159,161,160,161,160,161,163,133,123,148,166,133,87,95,130,172,161,143,144,147,149,150,152,155,157,158,159,160,161,162,163,160,163,162,152,149,149,165,153,152,111,80,85,163,167,145,147,149,151,153,155,157,160,161,161,162,163,163,164,166,143,146,138,149,152,147,128,169,130,87,59,140,177,146,148,150,153,155,157,159,161,162,163,164,164,159,179,175,128,106,118,134,129,95,134,186,139,103,60,126,179,148,149,152,154,156,158,160,162,163,164,163,173,127,133,166,131,107,98,130,94,66,171,184,147,118,65,124,180,149,151,153,154,157,160,162,164,165,161,178,187,122,87,161,149,132,101,168,114,70,181,188,165,133,73,130,183,149,151,154,156,159,162,164,166,164,174,176,181,141,101,139,166,138,96,141,142,97,157,195,175,134,84,95,183,150,153,156,158,160,163,165,165,171,179,141,179,163,122,110,164,138,110,72,121,173,180,173,153,127,100,67,159,151,154,157,159,161,164,166,164,180,185,142,169,171,134,96,142,147,112,131,171,176,179,152,139,126,112,67,140,153,155,158,161,163,166,167,172,180,163,128,141,153,121,80,111,124,139,189,177,163,159,142,130,126,103,74,161,154,157,160,162,164,167,167,171,188,166,128,125,114,89,65,60,121,190,185,172,156,146,137,116,110,78,100,184,156,159,161,163,166,168,169,170,187,170,148,127,81,75,49,66,185,186,175,165,155,145,120,102,89,65,149,184,158,160,162,164,167,170,170,172,188,176,162,133,98,126,90,151,194,182,176,161,151,136,105,90,74,86,183,179,158,160,164,165,167,170,170,176,189,186,156,127,154,144,135,197,185,184,169,153,143,119,94,84,67,120,189,179,160,162,165,167,168,171,170,182,187,189,147,144,163,130,169,202,191,177,161,149,133,103,82,80,70,165,186,181,161,164,165,167,171,173,170,181,191,185,150,152,161,123,192,193,193,169,151,135,115,90,80,65,115,188,180,182,161,164,166,168,171,173,175,172,183,187,157,163,151,131,200,194,181,159,143,124,97,81,75,73,174,187,182,184,163,165,167,170,172,174,177,173,174,179,164,170,149,160,183,184,165,145,132,113,90,83,62,121,194,182,184,184,163,166,169,171,172,174,178,176,168,176,166,175,161,157,164,168,155,140,122,104,89,76,77,178,187,186,185,184,164,168,170,172,173,175,177,178,167,181,175,168,156,140,154,165,156,132,112,97,86,63,137,193,185,186,186,187,164,168,169,172,174,176,178,179,166,171,155,147,141,133,154,159,152,127,100,90,70,87,184,185,187,188,188,188,165,167,170,173,175,177,179,181,172,162,141,147,144,159,162,159,145,122,99,87,63,129,193,186,188,188,188,189
11,174,176,178,179,181,181,182,182,182,182,181,180,178,179,178,177,175,174,173,172,171,169,168,166,165,164,162,160,176,178,179,181,182,183,183,183,183,183,182,181,180,180,179,179,178,176,175,174,172,171,170,168,166,165,163,161,177,179,181,183,184,185,185,185,185,185,184,183,182,180,170,172,179,178,177,176,174,172,171,170,168,166,165,164,179,181,183,185,186,186,186,186,187,187,186,185,185,185,153,145,176,180,179,178,176,174,174,172,170,168,166,165,181,182,185,187,188,188,187,188,188,188,188,187,188,188,148,127,171,181,180,180,178,177,176,174,172,170,168,167,182,184,186,188,189,189,189,190,190,190,189,188,189,188,149,126,169,182,181,181,180,179,177,175,173,172,170,168,184,186,188,189,190,191,191,192,191,191,190,189,192,196,158,130,168,184,183,182,181,180,179,176,175,173,171,169,186,188,189,191,192,193,193,193,193,192,192,191,196,201,162,129,166,186,184,183,182,181,179,177,176,174,172,171,187,189,190,192,193,194,194,195,194,194,193,193,198,198,156,124,166,186,185,184,184,182,181,179,177,175,174,173,188,190,192,194,194,195,195,196,196,194,192,191,200,194,152,123,169,188,187,186,185,184,183,180,178,177,174,173,189,192,194,195,196,196,197,196,196,191,173,165,191,187,149,127,173,189,188,188,187,186,184,182,180,177,175,173,192,194,195,196,196,197,195,181,171,175,153,126,152,160,130,127,179,191,189,188,188,187,185,183,181,179,176,175,193,195,197,196,187,176,183,159,126,139,150,116,101,108,100,129,186,193,191,189,188,188,186,184,182,180,178,176,194,196,200,201,177,138,152,155,115,124,147,112,80,82,88,142,192,194,193,191,189,188,186,184,183,181,180,178,196,198,205,208,184,135,130,153,116,118,137,104,76,76,86,149,194,195,193,190,186,178,171,172,177,181,180,178,197,201,214,214,188,137,111,135,108,110,128,99,73,70,82,149,195,196,194,185,175,159,143,136,142,169,180,179,198,206,216,206,182,136,97,115,103,116,139,108,73,69,84,150,193,196,195,175,148,128,117,111,108,150,181,180,199,209,222,206,177,130,96,123,113,132,168,126,81,79,95,146,187,191,172,132,104,112,130,138,139,165,183,182,201,211,226,210,171,128,110,151,142,138,177,129,89,100,121,151,176,168,130,101,123,165,182,185,183,185,184,182,201,213,225,206,172,150,130,168,166,119,139,126,115,129,133,143,146,123,103,134,179,193,193,191,189,187,185,183,201,212,223,207,182,161,138,159,155,121,146,160,151,141,126,120,108,96,132,183,197,196,195,192,190,188,186,185,202,210,220,211,192,171,165,175,178,167,166,163,150,135,115,97,91,122,179,199,199,197,195,193,191,189,188,186,204,209,216,209,190,169,161,171,181,175,164,153,138,125,102,92,128,178,200,201,199,197,195,193,192,190,188,187,193,202,211,202,180,154,149,160,167,161,152,138,124,110,101,138,186,202,203,202,200,198,195,194,193,191,189,187,113,149,191,189,169,150,154,160,157,146,133,117,106,110,148,192,204,204,203,201,200,198,196,194,193,191,188,187,63,88,151,177,177,171,163,154,145,126,103,93,126,169,198,206,205,204,202,201,200,198,197,194,192,190,188,186,64,67,92,135,162,164,153,140,126,102,81,117,186,206,208,207,206,205,203,202,200,199,197,195,193,191,188,186,61,61,64,82,113,128,131,123,105,81,79,156,207,210,209,208,207,205,204,202,201,199,197,196,194,191,188,182
17,185,188,191,192,194,196,196,197,199,199,199,199,199,198,197,197,197,195,194,194,192,192,190,188,186,184,183,180,186,190,193,196,197,197,199,200,201,201,202,202,202,201,200,200,200,198,197,198,195,193,192,191,189,187,184,182,190,194,196,198,200,201,202,202,203,204,205,205,205,204,203,202,202,200,202,200,198,197,194,193,191,189,187,185,192,196,198,199,202,203,203,204,205,206,206,208,208,208,207,202,207,206,199,204,201,200,198,196,193,192,190,188,195,199,200,202,203,205,206,206,207,208,209,210,209,210,206,216,218,175,165,210,202,202,200,200,196,194,192,191,196,200,203,204,206,208,209,209,209,210,211,210,211,212,206,225,249,147,134,213,205,205,203,202,200,198,195,194,200,202,204,207,208,210,211,212,213,213,213,213,213,214,212,213,255,184,142,214,206,207,206,204,203,201,199,197,202,204,209,210,210,211,213,215,216,216,216,218,217,216,215,216,255,225,157,212,210,209,207,206,205,203,202,200,204,208,210,212,213,215,216,217,218,218,218,219,220,218,216,225,255,250,162,199,216,211,211,209,208,207,204,202,207,209,211,215,217,218,218,219,220,221,222,221,220,220,214,241,255,252,165,185,222,214,213,211,210,209,207,205,208,211,214,217,218,219,219,221,222,221,220,221,248,249,207,208,255,255,172,174,225,215,216,213,211,210,209,206,210,213,215,218,221,220,223,223,223,226,230,222,255,255,235,182,209,241,188,166,225,217,217,217,214,212,212,209,212,215,218,220,223,223,225,225,223,255,255,227,205,249,245,255,251,185,154,158,225,219,219,218,217,214,212,211,214,217,219,222,223,224,226,225,230,255,253,243,187,204,184,250,255,207,132,139,225,223,222,219,218,217,215,213,216,218,222,223,224,225,229,228,236,255,179,202,226,142,116,147,255,244,157,116,216,227,222,222,219,219,218,215,216,220,223,224,226,228,230,228,241,255,197,184,174,145,144,118,246,255,197,110,192,233,223,224,221,220,219,216,219,222,223,227,228,231,233,229,245,255,242,199,172,171,181,160,231,255,223,128,182,235,224,226,224,220,219,219,222,223,224,228,231,232,234,230,251,255,209,180,185,203,207,219,255,255,232,147,179,239,227,227,228,232,230,219,221,223,227,229,231,232,233,230,249,255,228,203,200,222,217,255,255,255,219,153,176,242,228,232,217,179,169,141,222,224,226,229,231,231,233,231,245,255,249,215,199,226,240,255,255,253,203,146,182,240,231,223,139,119,116,111,222,224,227,229,232,233,235,235,243,255,255,237,207,231,255,255,255,242,195,138,178,238,237,175,114,122,118,116,222,227,229,231,234,234,237,238,242,255,255,252,228,228,255,255,255,234,188,127,182,254,185,115,103,90,82,68,223,227,231,233,235,237,238,238,239,255,255,255,249,236,255,255,247,226,187,120,173,177,114,102,93,72,70,54,225,228,232,234,235,238,238,239,238,255,255,255,255,240,234,255,235,224,175,123,118,114,113,103,85,61,57,60,219,223,228,232,233,236,238,241,239,255,255,255,253,227,217,233,221,224,169,117,98,110,106,110,99,65,47,50,144,147,151,154,151,151,155,159,157,183,255,255,237,208,204,211,222,214,156,108,73,92,93,90,112,88,48,41,122,126,128,124,124,124,123,123,121,145,255,241,211,195,198,208,220,192,125,99,81,58,84,73,98,107,63,38,134,137,137,133,137,140,138,137,144,93,235,238,205,195,206,203,196,160,95,32,62,52,62,66,78,105,80,44
7,197,197,196,197,197,197,197,197,196,196,196,195,194,193,192,192,191,190,189,188,186,185,185,182,181,180,178,176,198,198,198,198,198,199,199,198,197,197,198,197,196,195,194,193,192,191,191,190,188,187,186,184,183,181,180,178,199,198,200,199,200,200,200,201,199,199,200,198,198,197,196,195,194,193,192,191,190,188,186,186,185,183,182,180,200,200,201,201,201,201,201,202,201,201,200,200,199,198,197,196,196,194,193,193,193,192,191,190,188,186,184,182,201,202,202,203,202,202,202,202,203,203,201,199,200,198,199,200,200,199,197,193,188,181,176,175,180,188,186,184,203,203,203,203,203,203,203,202,203,205,205,204,205,202,199,188,174,166,158,162,151,134,156,178,153,181,189,185,204,204,204,205,204,204,205,207,207,201,196,188,176,164,152,151,137,129,141,135,132,128,143,153,137,186,190,185,205,205,205,205,205,207,202,184,166,155,148,151,149,145,143,139,129,118,122,112,114,110,96,114,146,162,182,189,206,206,206,206,209,196,174,158,136,137,146,141,142,137,135,122,119,125,117,114,119,113,112,107,98,109,132,187,205,205,207,207,188,174,174,159,129,122,118,115,119,124,132,139,144,145,120,103,122,112,103,98,86,107,109,179,205,209,202,178,170,174,170,158,145,133,131,136,146,152,148,149,139,132,110,90,94,86,84,90,93,105,145,191,209,202,174,168,171,170,164,164,160,150,149,143,145,141,130,124,114,102,90,97,123,146,164,176,187,192,196,191,203,174,169,170,172,166,170,168,153,124,107,113,115,105,98,121,132,148,168,191,205,207,204,201,199,195,193,192,178,174,174,174,171,171,168,152,135,94,88,95,84,80,73,127,211,213,210,206,201,199,198,198,197,196,193,192,174,178,176,173,173,165,147,142,123,96,87,75,73,74,75,56,141,214,202,203,202,201,199,199,197,196,193,192,176,177,174,176,169,152,144,138,133,135,117,80,74,77,69,78,172,208,202,202,201,200,198,197,195,193,195,194,172,175,180,176,160,143,136,132,140,148,117,78,75,71,79,171,214,203,203,203,202,200,197,198,200,201,185,128,173,178,177,162,138,126,126,124,128,121,89,72,70,55,126,222,203,206,203,203,201,204,206,197,175,137,98,79,173,173,159,139,131,130,130,119,113,103,89,76,75,59,122,215,203,208,208,207,211,184,146,115,88,76,73,78,167,154,139,138,137,134,126,105,94,102,105,84,68,98,202,216,211,194,185,184,156,103,81,72,76,76,76,77,148,138,139,134,123,110,96,91,99,113,103,73,87,176,185,168,134,94,89,85,78,76,86,76,65,71,75,78,140,140,131,112,103,100,99,101,101,93,77,93,112,106,97,95,68,66,77,65,76,69,70,74,56,64,71,77,141,135,119,112,112,110,102,92,85,83,111,121,101,91,87,84,79,56,72,63,65,64,64,65,53,58,67,74,129,112,103,102,100,96,88,87,100,120,123,101,87,82,77,71,71,58,58,65,58,61,61,58,49,54,67,71,95,78,87,91,96,98,105,118,127,119,86,81,79,75,67,70,66,62,48,61,55,57,60,53,50,57,65,70,69,99,123,125,130,127,125,124,119,96,77,66,73,73,63,66,62,62,45,53,57,54,61,51,51,58,63,68,81,127,128,125,130,124,122,119,102,71,69,63,62,70,58,60,54,58,48,47,56,54,60,48,53,58,63,66,93,128,127,125,125,124,119,106,80,56,70,66,54,67,53,58,49,56,54,42,54,55,57,49,57,57,64,64
3,47,38,0,21,49,65,75,87,96,101,106,111,114,117,120,123,125,127,131,131,134,137,137,140,141,142,142,143,55,33,0,28,54,68,78,91,98,104,110,114,116,118,121,124,128,127,128,135,136,138,140,141,142,144,145,146,62,27,0,33,57,70,81,93,100,105,112,115,117,120,124,126,129,138,86,128,140,140,142,143,143,144,147,146,63,16,0,38,59,71,82,94,101,107,112,116,118,120,125,128,133,155,77,109,145,140,143,144,145,147,148,148,65,5,0,40,60,72,84,95,103,108,112,116,119,123,126,129,137,152,73,109,146,141,144,146,147,147,148,149,64,0,5,44,62,74,86,98,103,111,115,117,121,125,129,129,142,157,75,115,146,142,145,146,148,149,149,150,62,0,11,46,64,75,88,99,105,112,117,121,126,123,124,125,152,143,71,118,150,146,148,148,150,151,151,151,57,0,19,49,66,77,91,101,107,114,115,119,119,157,140,99,142,117,64,121,151,148,149,150,151,152,152,153,50,0,26,52,69,80,92,102,109,112,136,143,107,127,166,116,86,105,62,132,151,149,151,151,152,154,155,155,40,0,32,54,69,81,94,104,110,108,143,180,152,90,124,128,90,118,69,143,148,150,151,153,154,156,156,156,30,0,36,57,71,84,97,104,113,159,140,101,141,112,81,157,131,110,62,138,154,150,153,155,155,157,157,158,18,0,40,59,74,85,98,102,123,172,156,103,77,127,78,82,98,117,65,89,155,152,155,156,157,158,158,159,7,0,44,61,76,87,100,101,134,142,93,126,107,108,114,38,67,135,126,77,114,162,155,157,159,159,160,160,0,7,46,64,76,88,102,100,142,136,60,80,82,72,82,78,72,117,145,82,108,165,157,159,159,160,161,160,0,14,48,64,77,89,103,102,146,136,110,82,52,68,83,100,79,123,146,74,128,165,159,160,161,162,162,162,0,21,50,65,77,90,101,103,157,150,107,71,58,80,106,107,91,147,154,75,143,162,159,161,162,162,163,164,0,26,52,67,79,90,102,105,156,137,88,67,70,93,118,121,139,166,139,72,148,161,161,162,163,164,164,164,0,30,52,68,80,91,104,105,153,145,103,79,73,100,126,149,173,154,122,70,150,162,162,163,164,165,164,165,0,32,56,71,81,93,104,104,152,153,113,86,79,99,140,176,173,136,93,79,162,162,164,164,164,164,165,166,0,35,57,71,82,94,104,104,148,162,130,92,87,103,160,175,166,136,71,87,168,160,164,164,164,165,165,165,0,38,57,71,81,94,104,105,140,161,131,105,97,109,168,173,155,129,63,100,170,161,164,164,165,165,166,166,2,41,58,70,81,94,103,109,127,149,136,124,111,114,162,163,142,119,57,125,169,161,164,164,165,166,166,166,7,43,60,71,82,95,102,110,117,142,144,132,125,110,144,145,126,99,62,150,165,162,165,165,166,167,166,166,12,44,61,72,83,95,102,110,116,147,150,135,119,102,121,125,116,90,80,166,161,164,165,166,166,167,167,166,16,45,61,72,83,95,103,111,115,161,157,131,113,99,113,111,117,74,122,168,160,164,165,166,167,168,168,168,20,46,61,72,83,95,103,111,118,172,156,134,118,106,122,110,99,69,152,161,162,164,165,166,166,168,167,168,24,48,62,72,83,95,103,110,122,170,165,150,116,120,131,101,69,84,163,159,163,164,166,166,167,169,168,168,28,49,63,74,84,95,102,110,122,172,175,151,114,129,122,93,55,100,166,159,162,164,166,167,168,169,170,169
5,150,152,156,157,158,159,160,161,161,163,163,163,163,164,164,163,164,165,164,164,163,162,162,160,159,158,159,157,154,156,159,160,160,162,164,164,164,165,167,167,167,168,168,166,143,160,166,166,166,165,165,163,162,161,161,159,158,160,163,164,164,166,167,168,168,169,171,170,169,168,170,177,125,143,172,170,170,169,168,167,166,165,164,163,162,164,167,168,168,170,171,172,172,173,173,173,171,145,155,184,128,126,176,174,173,172,171,171,170,169,167,166,166,167,170,172,173,174,175,175,175,177,177,177,182,142,130,186,128,114,180,177,177,175,175,173,172,172,171,170,169,171,175,176,176,178,179,179,180,180,181,180,189,150,120,182,128,115,182,181,180,179,178,177,175,175,174,173,171,173,177,179,179,182,182,182,177,178,184,184,192,154,112,180,136,121,185,185,184,183,183,181,179,178,178,176,175,176,179,182,182,185,185,186,159,149,187,186,195,163,113,176,129,125,188,187,187,186,185,185,182,181,180,179,177,179,182,185,186,187,186,189,164,123,185,189,198,165,104,170,125,128,191,190,189,184,159,169,186,184,182,182,179,182,185,187,188,188,189,193,178,110,180,192,197,164,98,169,141,130,193,189,190,185,154,136,182,187,186,184,181,184,187,189,189,190,192,194,180,111,178,194,194,175,105,150,150,133,193,185,174,155,173,157,157,186,188,187,184,186,190,191,192,193,194,195,192,122,164,196,191,182,109,122,151,140,192,186,161,94,151,167,134,177,192,190,186,189,193,193,195,195,195,197,198,148,144,194,191,186,113,116,148,137,181,180,153,126,174,155,137,190,193,192,187,190,194,195,196,196,198,197,193,189,161,170,185,175,130,133,137,124,158,165,138,169,187,131,163,196,194,194,189,192,195,198,199,199,199,200,191,199,186,160,158,155,133,132,130,124,157,164,141,186,174,110,178,198,196,195,192,195,196,199,200,201,201,202,198,200,207,177,150,145,124,126,125,126,152,162,153,196,156,98,188,199,198,197,193,196,198,199,201,203,203,203,203,203,221,195,143,131,115,111,119,130,150,158,154,199,153,111,198,201,200,199,195,198,200,201,202,203,204,205,205,205,224,203,145,110,107,103,117,141,158,152,146,194,155,124,203,202,201,201,197,200,201,202,203,204,206,207,207,206,220,201,151,110,105,105,130,154,174,181,158,184,153,129,205,204,202,202,198,200,201,202,205,207,208,208,209,205,217,197,152,112,102,112,144,164,190,198,169,162,131,123,205,206,204,202,200,201,202,204,206,208,208,209,210,205,217,197,158,114,102,120,157,184,192,194,175,135,97,112,205,207,206,205,200,201,203,206,207,208,209,210,211,205,214,198,162,117,104,120,166,197,197,185,155,108,74,135,209,208,208,207,200,202,206,207,208,209,210,212,213,207,207,196,162,119,109,116,174,203,193,166,132,88,96,192,212,209,209,208,202,203,206,208,208,209,211,213,214,204,195,192,161,124,117,115,170,192,174,145,110,83,164,215,212,210,209,208,202,203,206,208,209,209,212,212,215,205,188,185,155,133,122,115,158,175,159,129,88,116,209,215,214,212,210,210,201,203,206,207,208,208,210,211,213,206,185,177,150,137,119,111,148,160,143,102,86,181,216,215,214,213,212,211,201,203,206,207,207,208,209,212,213,206,188,178,152,136,118,102,134,132,108,82,154,214,214,214,214,213,212,211,201,203,206,207,208,208,210,213,215,204,192,178,145,130,119,98,116,103,76,124,209,215,215,214,214,213,211,210
3,191,191,192,191,192,192,192,194,191,191,191,189,188,188,188,187,187,185,183,181,179,177,177,175,174,173,172,169,192,192,194,193,194,193,193,194,193,192,193,190,189,189,188,187,181,184,184,182,181,178,177,176,175,173,172,170,194,194,195,195,195,194,194,195,195,194,193,191,190,190,186,203,143,163,189,182,182,180,178,177,175,174,173,172,196,195,196,196,195,196,195,195,196,194,195,194,192,189,195,198,122,166,191,183,182,181,181,179,177,175,174,173,197,197,199,199,197,197,197,197,197,196,196,195,195,189,213,169,119,186,190,185,183,182,182,181,180,177,174,174,200,200,201,201,200,200,200,199,198,198,197,197,194,202,213,134,145,196,188,189,188,186,184,183,181,179,177,175,201,202,202,203,203,203,202,203,202,199,199,199,194,223,196,121,169,199,192,192,190,189,186,184,182,181,179,178,203,204,205,206,204,205,205,204,203,201,202,198,213,217,163,121,190,200,196,195,191,189,188,187,184,183,181,180,205,207,208,207,208,207,206,206,205,205,205,202,220,196,126,150,196,186,193,195,196,192,189,188,187,186,184,181,207,209,210,210,210,209,210,209,208,208,206,204,214,201,164,174,193,186,193,185,179,192,193,188,190,189,187,185,209,210,211,212,211,211,211,211,210,210,208,207,216,222,205,176,177,178,181,195,177,143,189,196,184,185,190,187,211,212,213,213,212,213,212,212,212,211,211,208,235,211,188,191,181,160,155,142,167,151,137,165,170,145,182,192,214,214,213,214,214,216,215,214,213,214,209,220,239,213,194,179,164,149,125,127,105,158,159,133,144,138,187,192,216,216,216,216,216,217,216,215,216,214,216,242,227,182,138,126,157,148,133,126,113,111,144,125,114,182,196,192,218,218,218,218,218,218,217,217,216,215,237,243,189,141,108,91,173,199,149,129,118,115,98,111,147,202,193,193,219,219,220,219,219,219,219,220,216,227,252,219,152,119,103,94,123,218,210,189,144,112,118,117,166,203,195,194,219,220,222,220,222,221,221,222,209,241,247,198,148,124,99,92,86,134,207,231,162,106,129,122,187,203,196,195,222,223,222,223,223,222,222,224,209,233,231,200,149,109,95,90,93,87,116,162,114,127,135,134,200,202,199,197,223,223,223,224,223,223,223,225,214,225,239,210,158,119,97,95,99,109,110,107,108,138,134,144,207,202,200,197,224,225,225,226,225,225,225,227,213,222,247,211,172,134,105,100,111,118,129,141,133,135,133,155,211,203,201,200,225,226,227,227,227,227,226,227,213,219,253,219,178,142,121,102,114,129,146,155,145,132,123,169,213,203,203,202,226,227,228,228,227,228,227,230,214,214,255,222,182,155,137,106,115,143,157,157,148,128,138,202,209,205,204,203,227,226,228,228,230,230,229,231,217,209,248,218,189,159,140,114,117,145,151,147,139,131,194,217,209,208,205,204,228,228,230,230,230,229,229,231,219,208,245,223,194,161,137,120,120,139,144,141,128,151,216,212,210,209,207,205,229,230,230,231,232,231,231,233,224,206,238,222,193,159,138,129,123,135,141,137,130,191,218,212,211,211,208,206,230,230,231,231,232,232,232,233,226,216,237,214,187,160,145,137,125,132,137,132,176,220,215,214,212,210,209,207,230,231,231,231,231,231,231,233,226,214,242,214,191,167,151,138,131,132,135,172,222,217,217,215,213,211,209,207,231,232,232,232,232,233,233,234,224,213,235,206,187,167,144,136,137,132,155,220,222,219,218,217,216,214,210,208
2,149,150,150,150,150,151,151,151,151,150,151,150,149,150,149,148,148,147,145,144,144,143,142,141,139,138,137,136,149,150,151,152,152,152,153,153,153,153,152,151,151,153,152,151,151,152,151,147,144,144,142,141,140,138,137,137,150,152,153,154,154,154,154,154,154,154,153,154,151,141,141,143,138,133,129,134,149,144,142,142,142,140,139,138,153,154,154,155,155,155,156,156,155,155,156,152,136,126,128,129,126,109,93,84,119,149,148,143,143,142,141,140,154,155,155,155,156,156,156,157,157,157,156,143,133,131,124,119,129,103,84,101,107,109,128,146,144,143,142,141,155,156,157,157,157,158,158,157,158,159,157,150,141,127,111,100,90,64,60,80,90,71,63,134,149,144,143,141,156,157,158,159,159,159,160,160,160,154,146,143,131,98,74,64,73,86,126,122,95,73,97,146,146,146,144,142,156,157,159,160,160,161,161,162,162,151,140,128,99,62,47,55,147,162,158,159,155,149,154,149,147,146,145,143,158,158,160,160,161,163,162,163,161,151,132,93,62,54,48,87,165,154,155,155,153,153,151,150,148,148,146,144,159,160,161,161,162,163,163,163,161,152,126,69,48,48,50,137,163,157,157,156,155,153,152,153,151,148,147,145,160,161,162,162,163,163,165,163,160,151,120,68,50,44,77,167,159,160,158,157,156,155,155,145,140,150,147,145,160,161,163,164,165,165,166,161,157,147,107,57,59,53,83,167,159,161,159,157,156,157,124,95,86,123,153,146,162,162,162,164,166,166,167,161,158,142,98,66,66,53,93,169,160,162,160,158,160,128,96,96,80,110,155,146,162,163,163,165,166,167,166,160,159,142,103,79,65,47,113,173,159,162,160,163,136,96,102,93,79,140,152,148,162,164,165,166,167,168,165,159,158,140,102,81,63,51,83,170,166,160,167,144,87,87,95,76,109,158,149,149,163,166,166,166,167,169,165,159,155,134,107,83,60,60,57,89,142,172,148,102,81,81,80,73,152,154,151,150,164,165,166,167,167,169,164,159,154,134,105,77,61,60,65,63,75,116,88,83,93,78,62,128,160,153,153,151,164,166,167,168,168,169,162,158,163,135,101,82,61,60,65,70,75,70,71,82,79,72,134,163,155,156,154,151,164,166,167,168,169,171,158,164,163,129,99,81,63,61,67,69,76,80,72,77,71,140,165,156,156,156,154,151,164,166,167,169,170,170,157,167,156,122,96,83,64,61,68,70,75,80,73,56,130,169,157,157,157,156,154,151,166,167,167,169,172,168,159,165,148,117,98,85,64,61,71,74,76,77,62,110,168,160,159,158,157,156,155,153,166,167,169,170,172,165,159,161,138,115,101,83,64,61,74,76,79,62,80,171,162,161,160,159,158,156,155,154,167,168,169,171,172,165,157,150,131,111,95,79,62,62,74,72,70,53,143,170,162,163,162,160,158,157,156,154,167,168,169,170,171,164,154,145,128,107,94,78,62,62,72,71,49,116,175,164,164,164,162,161,160,158,155,155,167,168,169,171,170,163,147,139,121,102,89,75,63,64,63,50,108,175,166,166,165,164,162,161,160,159,156,155,167,169,169,170,169,162,144,136,118,100,84,72,61,52,60,125,175,168,168,166,165,165,163,161,159,158,157,155,167,169,170,169,168,159,142,132,120,99,79,66,48,92,166,178,169,169,168,167,166,164,163,162,160,159,157,155,167,168,171,169,162,141,131,130,115,92,70,56,62,167,177,169,171,169,169,168,167,166,165,162,160,159,157,155
24,70,80,89,95,99,105,108,111,114,118,121,125,128,130,133,134,135,137,139,140,143,145,146,145,146,146,145,146,73,82,90,97,102,106,109,113,117,120,122,129,130,133,134,137,139,140,143,146,147,147,148,147,146,146,147,148,76,85,93,97,103,107,111,115,119,122,125,129,134,135,136,139,140,143,146,148,148,148,148,148,149,150,149,150,77,85,96,102,105,110,111,116,120,124,127,131,135,137,137,141,142,146,147,148,149,151,153,149,152,154,152,154,80,88,97,103,108,110,115,117,123,127,131,132,135,136,138,143,146,147,147,150,153,155,154,153,155,154,154,155,82,90,98,105,109,121,105,120,123,128,131,135,137,138,142,145,147,148,150,152,153,155,154,155,156,157,156,154,81,91,99,101,133,130,54,117,127,129,133,138,140,142,146,147,149,150,153,153,154,155,157,157,158,159,158,160,84,94,101,104,159,91,52,123,127,132,135,139,142,143,147,147,151,153,154,158,161,162,157,158,161,162,160,161,87,98,97,124,161,63,72,131,127,135,141,141,144,150,151,150,151,155,155,142,111,130,163,160,162,162,162,162,86,99,92,152,146,46,95,132,133,128,117,141,140,117,135,157,154,159,122,74,45,56,162,165,164,164,164,164,88,99,100,179,118,88,111,112,160,131,67,109,142,101,72,135,166,144,78,37,39,109,168,164,165,166,166,165,92,96,113,184,119,177,129,97,159,127,54,116,128,104,53,80,186,120,57,36,137,173,164,166,167,167,166,166,92,92,136,180,164,189,140,98,150,113,43,108,114,78,35,126,158,92,39,88,181,162,167,168,169,168,168,169,94,91,153,179,161,214,140,89,142,104,33,20,90,82,92,143,101,59,38,151,170,168,170,171,170,171,171,171,97,91,166,198,156,198,132,72,150,83,57,75,128,136,113,105,88,34,84,180,168,172,173,172,171,172,172,172,94,107,182,180,151,171,111,51,142,151,164,169,139,109,85,70,74,35,138,180,171,173,173,173,174,173,173,174,86,143,155,134,116,139,122,87,179,203,180,156,127,97,67,57,52,53,174,174,174,174,174,175,177,176,176,175,93,186,160,127,102,102,126,189,210,192,179,158,117,83,55,53,32,101,187,174,177,177,177,177,177,177,176,177,124,211,160,134,117,88,126,219,192,177,164,132,101,69,48,44,25,145,183,177,178,179,180,180,178,179,179,179,169,215,161,151,139,152,196,207,182,157,143,111,80,58,46,42,32,159,183,178,179,179,180,181,182,182,181,180,196,216,174,162,150,183,198,179,158,137,126,95,66,52,46,35,57,181,179,180,181,181,181,184,183,182,182,182,200,228,186,165,147,167,180,164,149,121,114,81,59,44,40,24,126,187,178,182,182,183,183,185,185,183,183,183,185,235,192,175,155,160,175,168,142,119,105,72,50,36,14,84,186,180,182,183,184,184,185,186,186,185,185,185,154,224,185,168,167,155,153,161,128,100,87,61,32,19,94,175,179,180,182,185,186,188,187,185,185,187,188,188,135,200,189,173,174,154,132,150,127,95,75,45,9,95,185,177,180,182,184,185,186,188,188,187,189,189,188,190,123,195,191,174,159,152,123,139,120,93,69,21,45,170,174,178,181,183,184,185,187,188,189,189,189,190,190,189,124,205,195,165,141,151,123,124,113,86,68,18,95,184,174,179,182,184,185,188,189,188,189,190,190,191,192,191,132,205,196,154,128,155,119,114,114,83,60,23,107,183,174,180,184,185,187,189,190,190,191,192,192,192,193,193
24,193,195,196,196,197,197,198,199,198,198,198,198,198,198,197,196,194,192,191,192,191,188,187,187,185,183,181,178,197,198,199,200,201,201,202,201,202,202,201,202,202,201,201,201,200,198,196,195,193,193,192,189,187,186,185,182,201,202,204,204,204,203,205,205,205,204,204,204,205,204,204,203,202,201,200,198,196,195,196,197,192,190,189,186,204,205,206,207,208,209,210,209,208,208,207,208,208,208,208,206,204,204,203,201,201,201,177,172,200,193,192,190,208,208,210,210,210,210,210,211,211,210,210,209,210,210,210,209,208,206,205,205,202,207,169,114,199,197,194,192,211,211,211,213,214,213,213,214,214,219,213,212,212,212,212,210,210,209,209,208,204,214,173,109,197,201,197,194,214,214,214,216,218,216,217,219,207,171,216,217,216,216,216,214,212,212,211,210,207,219,164,114,204,203,200,197,216,217,218,218,218,218,218,220,198,121,169,228,218,220,219,218,217,215,214,212,212,223,154,124,212,203,203,200,218,219,220,221,221,220,219,223,199,145,121,226,221,222,222,221,219,218,217,211,222,221,146,138,218,205,204,202,221,222,223,223,224,223,223,225,218,172,105,204,229,222,223,222,219,219,220,219,229,202,120,156,223,208,208,205,223,224,225,225,225,226,226,224,226,191,111,169,238,223,225,227,228,224,219,207,231,194,98,180,222,212,212,209,224,226,227,227,227,227,227,226,229,210,145,126,236,225,229,209,188,220,209,145,135,179,111,212,218,215,213,210,227,227,229,229,229,229,229,228,232,218,168,98,209,237,216,192,162,160,169,145,106,112,129,228,218,218,215,213,228,230,230,231,232,232,232,232,233,226,182,113,162,244,203,205,178,164,150,167,166,75,145,235,217,219,217,215,231,232,233,233,234,233,233,234,233,231,204,162,121,211,187,219,179,167,170,174,156,78,172,234,221,220,219,216,233,234,234,234,235,235,235,234,233,234,220,179,113,151,158,212,202,134,118,153,175,103,144,238,222,223,220,219,233,234,235,235,236,236,236,236,237,239,227,197,179,148,137,174,201,122,53,143,195,133,96,225,226,223,222,220,234,237,238,238,238,238,238,238,238,241,229,226,200,134,95,146,178,103,61,122,205,181,97,153,239,222,224,223,238,239,240,240,240,240,241,240,239,242,234,223,176,132,107,148,164,103,79,202,219,200,120,104,235,225,225,224,240,240,241,242,242,242,242,242,243,243,241,222,200,186,138,144,181,120,159,235,212,180,102,115,237,226,226,224,241,242,242,242,243,245,244,244,244,245,245,223,216,204,146,140,139,150,235,227,192,166,82,140,245,227,228,226,240,242,241,242,243,244,244,244,243,245,247,219,216,217,173,144,118,217,238,219,184,155,79,168,246,226,228,227,241,241,242,243,244,243,243,244,245,246,246,226,208,206,188,157,127,217,228,207,177,141,76,191,240,226,227,226,242,242,243,244,244,244,245,246,247,244,248,227,201,200,197,179,134,198,231,200,160,117,78,215,236,228,228,226,243,243,243,244,245,246,247,246,247,247,249,237,204,205,197,197,146,176,225,188,144,89,101,241,232,232,229,226,243,243,244,245,247,247,247,245,246,249,247,248,216,211,198,202,149,139,198,154,116,59,144,249,230,232,230,229,237,240,243,246,247,250,250,250,254,255,254,255,226,214,201,188,153,127,156,141,97,60,205,244,234,235,236,220,147,151,155,159,163,169,176,179,183,189,193,196,215,219,193,177,168,137,141,149,77,104,235,225,227,214,160,101
23,149,153,156,160,164,167,170,173,175,177,178,181,181,182,183,185,186,186,190,189,191,193,194,194,193,194,195,195,150,155,159,162,166,169,170,173,175,178,179,180,183,184,186,187,188,189,192,195,193,194,194,194,196,194,195,197,151,156,159,163,167,170,171,174,176,178,180,182,185,186,184,187,180,185,189,166,189,197,196,197,197,197,199,197,153,156,160,164,169,170,172,175,177,178,181,183,184,184,193,194,177,166,141,99,190,199,197,200,198,199,200,199,155,158,161,165,169,171,173,177,179,181,183,181,185,195,201,176,121,120,111,161,202,197,198,201,200,200,201,200,155,159,162,166,169,171,174,178,178,183,181,191,207,184,171,113,120,171,196,204,198,200,202,201,202,202,202,202,155,160,164,166,170,172,175,179,180,184,178,207,212,147,102,142,201,137,172,203,197,201,203,202,203,203,203,203,156,160,165,168,171,174,175,178,181,185,180,210,217,158,170,227,187,134,136,212,202,201,203,203,203,204,205,206,155,161,165,168,172,174,175,179,182,186,184,217,210,208,225,197,168,178,151,171,185,203,203,204,204,206,206,206,156,161,165,169,172,174,177,181,183,185,187,213,204,213,201,199,200,189,148,93,105,186,207,205,206,207,206,207,158,163,166,171,173,175,178,183,184,185,191,197,192,196,200,194,185,177,128,79,68,138,220,205,206,207,207,207,158,163,167,171,174,175,177,182,183,196,201,186,181,193,191,185,181,161,114,80,73,88,156,212,206,206,206,206,157,162,167,171,174,176,179,182,187,227,209,189,195,182,174,162,138,140,119,81,66,91,89,165,216,206,207,206,157,163,168,172,175,176,180,184,184,221,221,206,198,164,131,84,85,156,117,79,57,92,92,156,218,207,208,208,158,163,168,171,175,178,180,184,185,212,218,200,182,165,132,69,89,159,112,74,74,100,106,202,211,209,209,210,159,164,168,173,176,177,180,183,184,214,219,190,207,161,85,59,119,107,66,65,101,104,145,218,208,211,211,211,158,164,169,174,176,177,180,184,184,213,213,201,198,148,89,45,65,40,54,77,110,109,196,212,209,210,210,211,160,164,169,172,175,178,181,185,185,212,209,209,194,147,105,36,35,62,91,103,99,140,217,208,211,210,210,210,160,166,170,172,176,178,182,185,187,215,209,211,193,145,112,56,57,95,113,118,98,184,217,210,212,211,211,210,162,165,170,174,177,180,183,185,189,215,211,209,186,145,114,64,74,107,117,108,131,218,208,212,212,212,211,211,162,166,170,175,177,179,182,185,190,216,208,199,178,141,112,71,80,113,118,98,167,220,209,213,213,213,212,213,161,165,171,176,177,180,184,185,194,216,197,189,172,138,113,88,83,114,112,100,199,213,211,212,213,213,213,213,161,166,171,176,177,180,184,185,195,213,194,185,167,141,120,96,87,111,99,132,219,210,213,213,213,214,215,215,162,167,171,176,178,179,185,184,199,213,195,189,167,146,127,101,91,101,99,195,215,213,213,214,215,216,216,215,162,167,172,176,177,180,186,183,205,215,195,185,168,152,124,101,94,87,162,217,210,213,214,214,215,217,216,216,162,167,172,177,179,182,184,186,213,207,192,178,165,147,110,102,87,153,217,211,213,213,213,214,216,217,217,216,162,167,172,177,179,185,182,202,216,201,189,168,147,129,110,91,131,219,210,213,213,213,214,214,216,217,217,216,162,168,173,177,178,183,180,211,207,199,183,161,138,128,109,89,193,216,211,213,213,214,216,215,216,217,217,217
10,76,77,78,81,82,93,109,120,140,138,131,151,153,159,162,166,170,173,175,177,180,181,182,183,183,184,186,186,76,76,79,81,82,94,111,120,154,145,103,141,160,159,164,168,171,175,177,181,182,183,184,186,186,186,187,187,76,77,79,81,83,96,112,125,143,148,115,98,152,165,165,170,173,176,179,182,184,185,187,188,188,189,189,189,77,77,79,81,84,98,115,128,137,142,124,96,100,169,168,171,175,178,180,184,186,188,189,190,190,191,191,191,77,78,80,82,85,101,117,130,138,144,126,109,86,129,177,173,177,179,183,186,189,190,191,192,192,192,193,193,77,77,80,81,86,103,119,132,141,144,143,123,107,87,159,179,178,182,186,189,190,193,194,194,194,193,195,195,77,78,80,82,86,104,119,133,140,145,156,142,114,91,104,182,181,185,189,190,192,195,195,195,195,196,196,197,77,79,80,79,91,108,124,133,153,120,140,163,134,120,86,159,189,186,190,193,194,195,196,196,197,198,198,198,77,80,76,117,135,93,111,142,163,107,96,168,156,132,98,120,193,186,190,193,195,196,197,198,199,199,200,199,77,79,74,125,126,79,71,100,131,113,74,130,175,130,108,87,176,191,191,194,196,198,199,199,200,201,201,201,77,79,78,86,99,81,75,70,79,108,94,80,158,140,107,84,132,200,191,196,197,199,201,202,201,202,202,202,77,79,81,80,96,98,78,73,73,108,116,93,92,138,119,117,85,179,197,196,198,200,201,202,202,202,202,204,76,78,81,82,97,116,118,98,78,102,128,110,82,83,105,121,84,129,203,196,200,200,202,203,204,204,205,205,76,78,80,82,98,116,133,146,126,90,131,128,106,75,78,97,91,87,187,201,201,202,202,204,205,205,206,206,76,76,78,82,99,116,128,153,162,100,83,154,132,103,75,72,83,76,166,206,200,203,203,204,205,205,206,207,75,76,77,82,100,121,137,157,165,133,57,134,164,125,99,79,80,71,152,207,198,201,202,204,204,205,206,207,75,75,76,83,97,141,156,149,178,153,80,86,180,141,122,96,78,67,139,208,199,201,203,204,204,205,206,207,73,74,76,83,98,131,167,144,169,160,106,113,180,152,137,106,78,66,127,208,199,203,205,205,206,206,207,207,75,74,73,81,101,116,153,148,145,156,125,145,170,138,134,101,83,73,120,208,200,202,204,205,206,206,207,207,106,104,104,106,112,114,131,149,146,167,137,132,170,130,129,103,86,76,111,203,201,204,206,208,210,211,212,214,101,102,105,107,106,102,109,152,154,163,170,129,156,140,131,109,87,79,92,135,137,140,143,147,150,153,157,161,104,104,104,107,109,112,106,155,178,153,178,134,101,141,129,111,91,83,82,112,118,118,119,117,117,117,116,117,104,105,106,108,110,111,107,129,181,166,158,149,100,121,127,109,93,84,80,112,126,122,123,125,125,125,126,126,103,105,106,108,109,111,111,115,167,174,167,175,166,132,120,105,92,83,81,107,124,121,121,123,123,123,125,125,104,105,106,107,109,110,112,108,139,170,172,168,175,155,116,98,92,87,82,105,124,122,121,122,122,123,124,124,103,104,105,106,108,109,110,112,113,157,174,165,162,160,122,96,97,92,83,104,122,121,121,123,122,122,123,124,102,103,104,106,109,109,111,113,110,127,167,163,152,145,130,113,110,98,81,97,122,121,121,125,121,122,122,121,101,102,103,105,107,109,110,111,113,109,146,155,144,133,133,132,124,107,86,87,117,121,122,122,122,123,119,145
7,186,188,191,192,195,196,197,198,199,199,199,200,201,201,202,201,200,200,200,200,200,200,198,196,195,194,192,191,189,191,193,195,197,197,199,202,201,201,202,202,203,203,203,203,202,202,202,202,202,203,200,200,197,195,194,193,191,194,195,196,198,199,201,203,203,203,203,203,203,203,203,204,204,204,203,203,203,204,202,202,201,198,197,195,191,194,196,198,200,202,202,203,205,205,205,206,205,205,206,207,206,206,207,206,205,205,204,203,202,201,199,198,194,195,197,199,201,203,204,205,207,206,206,208,208,209,209,210,210,208,208,208,208,207,207,205,204,202,201,200,195,197,200,202,202,205,207,207,208,209,209,210,210,211,210,210,211,210,210,210,210,209,208,206,205,204,203,202,196,200,203,204,206,207,208,209,210,210,211,211,212,212,211,211,211,212,212,212,212,210,209,209,207,207,206,204,198,202,204,206,208,209,209,211,212,212,213,212,212,214,214,214,214,214,214,214,213,212,211,210,209,209,207,205,201,203,205,207,209,210,212,213,214,213,216,217,214,215,216,216,216,216,216,215,215,214,212,212,210,210,209,208,201,203,206,209,211,213,212,213,217,218,208,213,216,216,216,217,217,218,219,217,215,215,212,211,214,211,211,209,202,206,208,209,210,213,217,223,230,225,189,173,195,208,207,206,209,213,207,211,204,211,198,236,219,205,214,210,204,206,208,213,218,226,227,228,230,228,213,163,164,187,195,195,193,184,187,191,189,195,183,191,177,210,215,213,204,212,222,229,230,228,225,220,213,212,198,161,151,163,181,191,192,194,188,179,184,185,172,180,175,204,215,210,226,231,230,230,224,219,212,201,197,211,213,172,145,141,145,157,169,175,165,171,178,180,175,189,183,190,186,198,237,229,225,217,209,206,202,203,207,216,213,175,150,157,156,149,138,124,158,166,164,164,160,162,171,171,181,214,234,226,216,205,197,193,195,195,203,210,190,160,142,147,163,170,159,139,171,233,223,219,218,219,217,220,223,221,229,223,216,204,195,194,195,190,190,204,201,164,131,130,145,149,153,141,155,233,225,226,226,224,224,223,221,220,225,222,218,209,202,199,201,200,198,210,212,174,150,158,157,149,146,120,209,234,226,228,226,225,224,223,224,222,219,215,213,211,208,204,201,199,198,203,203,176,161,169,166,160,143,168,238,228,228,226,227,226,226,225,224,223,206,204,206,210,210,206,199,195,195,188,169,157,139,135,143,151,129,218,230,229,229,227,227,227,225,224,224,229,127,141,170,201,208,197,187,175,164,153,148,146,92,87,111,130,156,235,230,230,230,229,226,226,228,232,229,168,53,54,69,102,148,164,152,161,170,196,219,232,145,108,138,162,221,234,232,232,231,230,229,235,217,197,164,110,52,48,43,41,43,77,205,227,234,236,232,236,223,198,222,235,235,233,233,233,231,235,234,189,133,115,100,92,45,42,40,42,22,99,248,226,230,230,231,232,234,237,234,231,232,233,232,231,235,215,140,101,109,107,97,87,40,38,34,35,17,89,246,227,232,232,233,233,233,232,233,234,233,232,231,237,238,146,93,72,87,91,84,83,38,37,37,40,8,82,241,221,228,230,232,232,234,234,235,236,237,237,240,222,141,120,102,67,61,82,77,74,46,46,42,30,4,52,150,142,145,150,151,154,158,161,161,164,166,164,175,148,79,107,99,59,53,65,69,67,56,50,35,13,8,46,121,114,114,115,116,117,117,118,120,119,118,122,139,121,69,99,93,55,49,58,61,63
13,189,190,191,191,191,191,191,192,191,191,191,193,194,193,194,195,193,192,193,193,192,192,192,192,191,189,188,189,190,191,191,191,191,192,193,192,191,193,195,193,191,192,189,189,198,198,196,194,192,192,194,193,192,191,189,190,191,192,192,192,193,193,192,192,193,194,192,194,207,210,189,151,145,179,177,194,195,194,195,195,193,193,191,190,191,192,193,192,193,193,193,193,194,193,192,216,227,225,210,159,111,86,119,125,197,195,194,194,193,194,191,192,192,193,193,193,193,193,195,194,192,194,194,183,186,214,216,171,120,71,101,75,161,203,192,196,194,194,194,194,192,192,193,194,194,194,194,195,195,160,180,180,155,177,206,186,133,77,115,123,140,207,194,196,195,196,195,195,191,192,194,195,195,196,191,212,213,151,153,182,186,194,186,191,163,78,115,114,130,208,196,196,197,196,195,195,193,193,194,196,195,194,193,230,215,177,151,117,160,188,180,148,110,67,59,119,184,200,199,197,197,197,196,196,192,194,194,195,193,206,162,142,194,203,180,112,52,135,184,154,128,107,80,102,209,198,199,198,197,197,198,197,192,193,194,187,208,216,144,91,117,215,193,148,52,43,103,136,165,178,150,87,137,213,196,199,198,196,197,195,192,192,191,209,220,191,137,115,72,186,207,152,106,42,42,66,191,203,188,148,85,167,207,196,197,197,197,194,193,191,203,221,183,179,152,139,67,132,217,164,144,68,52,45,137,218,203,166,118,93,195,198,196,197,196,195,193,195,211,185,144,171,166,147,91,55,193,196,166,113,39,79,155,205,205,166,141,91,153,208,195,197,197,197,192,199,217,197,156,157,181,144,133,66,78,208,183,154,92,115,220,198,185,156,141,93,148,211,197,199,199,199,191,200,210,193,172,141,161,170,166,124,32,102,199,186,173,135,207,191,167,130,111,80,167,208,198,198,198,198,194,198,213,209,190,165,132,155,174,149,126,44,159,188,172,189,196,176,156,123,88,78,190,202,199,199,199,197,185,185,214,220,206,180,164,149,153,153,169,101,188,210,203,205,188,167,145,117,81,103,210,204,204,203,201,200,106,102,203,224,213,192,174,170,171,151,122,145,210,221,221,196,182,164,137,105,77,122,190,184,188,187,191,192,89,69,168,228,214,202,185,174,180,179,147,141,197,220,215,196,167,149,129,96,84,89,95,99,98,99,99,100,94,82,122,221,209,208,202,188,180,178,167,129,159,214,205,189,165,134,112,91,82,91,84,76,77,89,120,149,92,92,87,191,202,202,205,202,188,178,164,147,130,191,193,173,154,125,101,88,78,93,112,134,164,189,202,193,91,95,83,128,207,195,205,209,193,179,162,148,133,154,178,157,131,116,100,79,84,159,199,207,202,195,199,192,92,92,94,81,166,204,201,201,184,170,156,142,131,131,150,149,132,112,95,64,144,232,208,193,185,171,172,183,93,92,94,86,98,201,197,180,167,158,149,139,118,112,135,154,141,103,82,70,203,216,201,187,161,140,136,153,92,91,90,94,78,169,207,170,149,151,146,135,116,98,138,166,128,92,64,121,234,207,206,188,139,110,132,143,92,93,89,95,81,134,211,177,165,166,150,131,116,98,143,164,105,86,60,188,224,202,219,200,145,94,116,143,92,94,89,94,83,117,213,189,180,180,159,138,127,99,140,152,100,75,82,221,200,195,220,220,166,101,96,133,93,94,89,93,83,115,205,197,192,185,162,149,138,94,133,145,101,63,113,225,197,191,209,227,185,111,85,111
4,172,172,172,173,173,173,173,173,173,172,173,173,172,172,172,171,170,167,168,168,167,166,164,164,162,162,161,160,174,174,175,175,175,176,175,175,175,175,174,175,177,174,173,173,173,175,172,170,168,167,167,166,165,164,163,161,178,178,178,178,178,178,178,178,178,178,177,176,173,179,178,169,144,134,170,175,174,173,169,168,168,167,166,165,180,180,179,180,180,179,179,179,179,178,178,163,138,140,177,172,142,100,123,173,138,148,174,170,169,169,167,166,182,182,181,182,182,182,181,181,181,181,185,187,162,131,120,167,160,124,86,138,131,89,136,181,169,171,170,169,183,183,184,184,184,184,183,184,183,177,173,176,184,161,115,114,166,142,88,114,142,93,84,179,172,173,172,170,185,185,185,185,186,186,186,187,178,167,165,122,142,160,101,82,163,141,88,95,143,109,72,174,176,174,173,171,187,187,187,187,187,187,187,187,182,178,169,121,98,140,92,76,143,112,67,115,149,116,85,181,178,176,175,175,188,188,188,188,189,189,189,189,174,133,160,137,92,120,125,75,111,98,55,123,122,79,101,190,177,179,178,177,190,189,190,190,190,190,190,189,187,133,118,162,123,102,152,82,89,116,111,116,82,45,124,193,179,181,180,178,191,190,190,191,191,190,189,192,176,116,90,151,127,143,150,130,133,132,159,129,71,49,162,188,182,182,180,179,191,191,192,192,191,191,191,193,176,151,147,119,71,161,150,139,149,136,146,120,80,72,187,185,184,184,182,180,192,192,192,192,193,193,192,192,188,173,135,98,65,95,126,115,119,115,109,108,98,70,159,194,184,184,183,182,193,193,193,193,194,193,192,191,189,161,121,86,77,74,93,104,103,98,89,120,113,85,88,192,186,185,185,184,194,194,194,194,194,195,193,191,181,143,108,83,81,100,105,134,143,138,119,127,128,119,69,139,198,184,186,185,195,196,196,196,196,196,194,188,182,154,121,91,93,100,124,163,163,177,164,138,166,140,87,84,195,187,187,185,197,197,196,197,197,197,196,186,182,157,123,88,89,109,143,174,175,186,190,171,155,139,84,78,193,189,188,186,197,198,197,197,197,198,197,180,180,168,131,97,95,111,146,182,183,190,181,165,145,113,65,112,202,188,189,187,197,197,198,198,198,198,198,176,180,176,138,110,104,107,156,188,192,191,172,153,134,96,57,163,199,190,190,189,198,198,199,199,199,199,201,175,173,177,148,118,106,112,163,193,192,183,164,143,126,78,79,198,192,192,191,190,199,198,199,200,200,199,202,180,160,167,149,121,107,118,172,190,181,173,154,129,112,62,129,205,190,193,191,191,198,198,198,199,199,199,202,193,157,167,155,124,118,124,177,181,171,162,140,116,91,62,181,200,194,193,192,192,197,197,198,199,198,198,198,201,169,165,160,138,136,120,173,171,168,147,125,105,64,103,207,193,195,193,191,191,197,197,198,199,198,198,198,203,184,161,161,151,136,112,154,161,159,135,106,83,56,174,199,192,192,192,191,190,198,197,199,199,199,199,199,202,192,166,158,144,130,113,135,144,132,108,85,50,120,207,193,195,193,193,192,191,198,199,199,199,199,199,200,202,194,173,161,143,126,115,124,133,111,86,61,66,194,199,197,196,194,193,192,191,198,200,200,200,199,199,201,203,184,175,162,147,134,127,121,128,114,83,48,129,211,195,198,196,194,193,192,193,198,198,199,199,200,199,201,200,170,173,165,158,155,141,129,120,106,75,58,172,204,197,197,196,195,193,193,185
7,206,207,206,207,207,207,207,207,206,206,205,204,203,202,201,201,200,199,197,196,193,192,191,188,187,185,183,180,209,208,208,208,209,209,209,208,208,207,208,207,206,205,204,202,201,199,199,198,196,194,193,191,189,187,186,183,209,209,210,210,210,211,211,211,210,209,210,209,208,207,206,204,203,202,201,200,198,196,194,193,192,189,188,186,211,210,212,212,212,212,212,213,212,212,210,210,210,209,208,206,206,204,202,201,200,199,196,196,194,193,190,188,212,213,213,214,214,214,213,214,214,214,213,211,211,209,209,208,207,205,203,200,194,186,182,182,185,194,193,190,214,215,215,215,215,215,214,215,215,215,215,213,213,210,206,194,178,167,158,162,149,135,155,176,155,189,195,192,216,216,216,216,215,216,216,216,215,210,204,195,180,165,153,149,136,126,135,129,123,121,135,147,134,187,195,193,217,217,217,217,217,217,211,191,168,155,148,151,149,144,139,132,122,109,112,102,104,97,86,107,141,163,185,195,219,218,218,218,219,205,180,161,135,132,139,134,134,132,129,115,111,114,107,103,108,101,98,91,84,102,123,190,217,218,219,216,196,180,177,157,124,115,111,108,111,117,126,135,139,135,109,89,104,95,85,81,73,95,103,184,218,219,210,185,176,177,172,158,142,128,125,129,140,146,142,140,130,120,95,77,85,77,74,77,80,99,140,195,220,210,182,173,174,172,167,164,157,143,139,135,136,133,121,120,110,96,81,86,115,142,164,179,190,195,199,199,212,181,174,173,174,169,171,167,149,114,97,100,102,92,84,106,126,148,171,195,208,209,208,207,207,204,202,200,184,180,177,178,175,173,168,150,128,83,73,76,66,60,58,116,205,216,216,216,213,211,210,209,208,206,202,201,179,182,180,177,175,165,145,136,114,84,69,55,51,50,49,51,144,218,217,215,214,212,210,209,207,205,203,202,179,181,178,180,169,152,140,132,126,124,102,61,52,52,51,68,173,216,215,214,212,211,208,207,206,204,202,197,175,179,183,178,159,138,130,126,134,138,102,59,51,49,65,167,216,217,215,214,213,212,209,208,205,202,186,122,177,181,178,161,134,120,118,114,118,109,73,51,43,40,115,220,219,218,216,215,214,212,209,200,174,130,87,65,176,174,158,136,125,122,120,108,100,89,71,55,49,50,120,220,219,218,216,216,214,185,144,104,75,61,55,56,167,152,136,132,128,123,114,92,80,86,86,61,52,85,198,220,216,199,189,185,151,93,70,55,54,52,53,55,145,135,132,125,113,98,82,76,84,95,84,58,73,165,183,168,128,83,76,71,64,57,62,52,42,46,52,56,136,134,122,102,91,86,83,83,82,77,63,77,93,94,89,82,54,46,55,42,51,45,46,50,30,39,47,53,134,126,108,99,97,93,83,74,69,68,95,103,86,74,67,62,55,30,47,37,41,39,38,38,26,32,41,51,117,99,90,87,86,81,73,71,86,106,106,85,70,61,54,50,44,31,33,37,32,35,34,31,22,27,40,48,78,63,70,75,81,83,92,106,113,104,70,62,57,52,43,46,39,37,21,32,27,30,32,25,21,29,39,46,51,86,110,114,119,116,113,112,105,79,57,43,48,49,37,41,35,36,15,24,28,27,32,22,22,31,36,42,61,112,118,116,122,114,112,106,86,52,44,38,38,44,30,34,26,31,17,17,27,26,32,18,25,31,36,41,75,115,119,116,117,114,108,90,62,32,43,41,28,40,25,31,21,28,23,12,25,27,30,20,29,31,37,38
13,129,131,139,146,152,155,160,163,166,168,171,173,175,176,177,178,178,178,178,179,178,178,178,177,176,174,172,173,131,133,140,147,154,157,161,164,167,169,172,173,175,178,178,179,179,178,178,180,181,180,179,178,178,177,174,173,132,134,141,149,154,159,162,166,169,171,174,175,177,179,180,179,181,180,182,183,183,182,181,181,180,178,176,176,132,135,144,149,155,159,163,168,170,173,177,175,177,176,179,185,182,183,183,184,184,183,182,181,181,179,179,178,132,136,143,152,157,161,165,169,171,174,176,177,221,196,134,165,188,182,185,188,185,185,184,183,182,181,179,179,133,137,144,152,158,163,166,169,172,172,173,190,255,232,156,127,194,189,158,160,189,184,185,185,185,182,181,180,134,138,144,153,159,164,168,170,168,186,181,173,252,237,186,124,147,170,133,79,167,192,185,187,185,183,183,181,134,139,145,151,159,166,168,164,192,237,181,141,192,201,166,86,124,120,92,62,123,198,184,187,186,186,185,184,135,139,147,153,160,161,186,167,199,247,197,137,162,187,146,83,137,100,66,58,117,200,186,189,188,187,187,185,136,141,150,156,157,175,242,175,131,222,221,157,118,194,194,175,160,124,62,39,123,201,189,189,188,187,186,186,138,142,151,159,151,211,246,195,133,166,229,171,85,98,187,193,173,175,134,44,142,202,190,190,189,188,187,187,138,142,150,157,159,216,224,211,154,113,213,176,115,17,83,133,168,192,195,114,150,203,190,192,193,190,189,187,136,141,147,152,163,221,202,208,165,96,168,200,129,35,30,58,153,221,222,188,110,178,195,190,189,187,188,187,135,140,148,149,181,245,200,198,183,107,100,205,135,42,36,144,193,193,197,187,114,119,203,190,191,189,188,187,137,141,151,146,225,239,187,167,181,129,55,171,166,104,167,220,200,192,164,140,142,90,182,195,193,191,190,189,138,143,152,146,232,242,201,150,145,176,91,131,217,229,223,199,187,180,147,117,123,93,176,197,192,192,191,189,136,142,151,148,237,248,215,197,168,174,197,218,237,236,205,186,184,153,128,104,86,129,199,192,192,193,192,189,133,140,148,150,240,253,226,212,195,175,206,233,233,227,195,168,158,135,121,83,93,186,195,192,191,191,190,188,137,144,153,150,231,253,234,211,194,177,198,228,228,207,176,146,133,132,102,82,171,205,199,199,196,194,194,194,116,117,125,110,199,253,235,219,197,185,201,225,206,170,153,141,138,117,81,89,131,127,127,124,122,122,121,122,80,80,86,67,137,251,233,222,202,194,198,217,193,153,135,143,130,95,80,76,71,69,69,68,67,66,65,64,90,92,93,87,104,237,225,220,203,187,188,214,195,143,120,124,102,82,83,84,85,81,79,79,78,77,77,76,89,90,92,93,88,216,216,220,211,189,182,209,189,124,106,102,84,81,84,81,81,83,81,79,78,78,78,76,93,93,93,95,80,197,219,225,221,198,175,201,186,121,102,90,80,85,84,81,81,81,82,81,79,80,78,76,94,97,95,98,78,182,229,236,231,210,170,189,191,128,98,80,80,87,84,82,80,81,81,79,78,79,77,76,92,95,95,100,82,151,241,239,232,208,170,180,192,130,92,75,81,88,86,83,81,83,80,78,80,79,78,69,93,95,93,94,90,113,232,226,203,187,169,171,182,130,92,72,83,88,84,83,82,86,81,77,80,81,68,153,93,94,95,96,95,93,219,221,181,179,183,162,169,136,93,71,80,88,85,84,83,87,81,78,80,70,123,230
18,177,179,182,184,186,188,191,193,195,196,198,199,200,202,203,203,203,203,204,203,203,204,204,205,205,206,206,206,178,181,183,185,187,189,192,195,197,198,200,201,202,203,203,203,205,205,207,209,204,206,207,206,207,207,207,207,180,182,183,186,189,192,193,196,199,200,201,202,204,205,207,207,206,198,177,191,214,207,207,212,208,209,210,209,181,182,185,187,191,193,194,197,200,200,204,205,205,206,204,203,224,196,162,136,180,183,165,187,216,210,211,211,181,184,187,190,192,194,196,199,200,203,205,207,208,207,179,158,198,182,137,136,116,166,165,132,191,217,211,212,183,186,187,191,193,195,199,201,203,204,206,201,214,222,174,152,184,166,127,128,114,162,181,138,138,221,212,213,186,187,189,193,195,198,201,202,205,205,211,179,163,203,193,173,191,172,155,149,135,139,162,141,127,217,214,214,186,188,191,194,197,200,201,204,205,210,222,192,167,152,198,184,172,191,185,184,177,151,128,123,131,219,216,216,187,190,192,194,197,200,203,205,206,215,217,216,196,154,155,187,153,173,200,194,194,167,123,101,131,222,217,217,188,191,193,196,199,201,204,206,208,215,190,211,195,172,127,154,164,134,176,194,190,162,130,102,131,226,216,218,189,192,195,198,201,204,206,206,209,216,162,160,183,157,113,122,155,121,123,164,182,173,146,107,144,228,216,219,190,193,196,199,202,205,206,208,209,218,180,153,172,133,105,109,134,115,102,124,189,190,160,115,138,230,217,221,191,194,196,199,202,205,206,208,210,222,205,172,163,132,108,101,128,110,93,105,184,206,172,138,113,209,224,220,192,195,198,200,202,205,207,210,211,222,197,163,150,134,111,97,133,116,81,165,209,216,190,150,110,143,230,221,193,196,199,201,204,206,209,211,211,218,213,192,163,137,117,109,119,100,151,223,221,210,186,149,125,130,227,223,195,196,199,201,204,207,210,213,212,221,219,197,165,140,127,122,114,145,217,232,227,210,176,143,122,144,231,222,194,197,201,202,204,207,210,213,213,222,221,202,172,151,140,143,144,197,229,234,216,199,169,134,113,161,233,221,196,198,201,202,205,209,210,213,215,219,221,207,185,169,161,144,153,205,228,229,202,177,154,130,110,183,234,223,195,198,200,203,206,209,211,214,213,217,219,209,191,173,164,151,153,194,230,224,193,170,144,127,113,198,233,226,194,197,202,204,207,209,212,216,216,215,217,210,194,173,168,170,151,184,229,216,182,158,136,121,120,215,230,227,194,197,202,204,206,209,211,213,216,216,214,209,198,181,186,178,151,169,228,200,173,146,130,117,134,228,228,228,194,197,200,202,205,208,212,211,215,217,212,206,200,188,182,183,157,158,217,188,160,137,125,114,150,236,226,228,195,198,201,203,206,208,213,212,214,216,214,207,202,191,181,180,162,146,202,179,144,130,125,111,168,234,225,228,197,199,203,204,206,209,212,213,215,218,217,213,208,193,178,170,153,133,185,161,131,124,124,117,203,231,227,228,196,199,203,205,207,210,212,214,215,217,212,222,208,184,167,153,130,131,164,144,130,127,115,154,234,228,228,229,196,199,202,205,208,210,212,213,216,215,211,226,203,179,163,139,132,135,158,139,131,126,120,204,230,227,228,229,196,200,202,205,208,211,212,214,217,212,216,228,207,187,173,152,141,144,158,133,135,110,156,235,227,228,228,229,196,200,201,204,207,210,211,213,215,210,217,222,212,194,184,154,136,157,150,134,126,108,194,231,225,228,228,229
17,149,152,153,156,158,159,159,161,163,165,164,166,168,169,169,172,172,170,174,173,172,175,173,173,174,174,174,173,149,152,154,157,159,160,161,163,164,166,165,167,169,170,172,173,172,177,176,178,175,175,174,174,176,175,174,173,149,151,155,159,159,161,162,164,164,167,167,168,169,171,172,175,162,143,154,135,176,177,176,176,177,177,176,174,150,153,155,159,161,162,163,165,166,168,167,168,170,174,172,178,179,118,94,90,167,180,177,178,177,178,177,175,151,154,157,159,161,163,164,167,170,170,169,171,173,175,174,177,195,141,81,83,176,179,178,179,177,178,178,176,152,155,158,160,161,163,166,168,168,171,171,173,178,175,176,176,196,160,93,93,188,178,179,179,178,179,179,177,153,156,159,160,163,166,167,168,168,171,175,166,156,185,178,175,199,168,105,124,190,179,181,180,179,180,180,179,155,157,159,161,165,166,167,170,173,171,176,171,122,140,185,184,198,162,109,145,189,181,182,182,181,181,180,180,156,158,160,162,164,166,168,168,169,164,180,179,150,124,146,178,195,160,106,143,190,181,183,183,182,181,180,179,156,159,160,163,166,167,165,184,173,121,139,187,188,182,133,95,157,158,111,143,192,182,185,182,182,183,182,181,158,160,161,165,168,168,171,186,178,128,146,160,180,194,169,99,101,135,103,140,193,183,184,182,184,184,183,182,159,161,163,165,169,167,181,173,156,155,119,106,98,203,193,132,82,106,91,136,195,184,185,184,184,184,184,183,158,160,163,165,169,167,185,171,111,117,107,76,69,188,209,156,89,87,79,133,196,184,187,186,185,184,184,184,158,161,164,166,170,169,189,169,138,137,117,110,110,167,220,167,107,82,82,124,195,185,187,186,185,185,185,185,159,163,165,167,169,172,196,169,148,139,120,136,144,174,210,171,124,82,77,122,195,185,187,188,187,186,186,185,159,162,166,170,167,182,189,146,134,131,134,143,186,216,179,166,130,81,69,121,197,186,188,188,188,188,185,183,160,162,166,171,166,190,190,152,138,131,140,161,220,210,173,149,121,78,61,123,197,187,189,188,188,188,187,185,160,164,166,169,167,198,192,161,142,131,142,196,216,196,169,142,112,79,62,146,198,187,189,188,188,188,188,186,160,164,166,169,167,203,191,168,154,132,162,216,206,193,160,129,107,75,75,178,192,188,189,190,188,187,187,187,160,164,168,171,169,211,192,174,170,143,173,214,195,188,164,120,100,66,111,199,186,190,190,191,189,188,187,187,161,165,169,173,169,214,198,181,180,158,170,207,188,179,157,116,91,68,162,196,188,189,191,191,189,188,189,189,162,166,169,172,167,207,208,186,177,168,164,194,183,181,152,111,80,88,193,189,188,189,190,190,189,189,189,189,162,167,170,173,169,197,210,184,170,165,169,180,172,185,160,107,76,106,199,189,191,191,191,191,191,191,190,188,164,167,169,173,170,195,202,181,170,159,167,178,169,185,152,109,75,138,201,189,192,192,192,192,191,191,190,189,163,165,169,174,170,199,206,190,172,168,172,179,166,179,136,100,84,179,194,191,192,191,192,192,192,192,190,189,160,165,169,174,172,207,215,188,170,177,180,172,154,166,122,81,121,200,189,192,192,192,192,192,192,192,191,190,163,166,170,173,173,215,207,172,171,180,182,158,141,149,105,78,174,196,191,193,193,193,192,192,193,192,192,190,163,167,170,172,176,217,201,167,173,181,176,150,139,132,89,102,197,190,193,193,193,193,193,192,193,192,191,191
18,156,159,160,161,162,163,166,167,167,168,169,171,172,172,173,175,175,175,176,177,177,177,178,176,176,176,176,176,157,159,161,162,163,165,167,167,168,170,170,171,172,173,174,176,177,176,175,176,178,178,179,179,178,177,177,177,158,160,162,164,165,166,167,168,169,170,171,171,172,173,174,177,179,177,176,177,176,177,180,180,180,178,177,177,159,160,164,164,165,167,167,169,171,171,172,172,175,174,175,166,161,179,177,179,179,179,181,180,180,180,179,179,159,161,165,164,165,167,168,169,170,172,173,174,177,175,184,162,122,149,180,180,178,180,179,179,179,180,181,181,159,161,164,165,165,166,169,170,170,173,175,167,156,173,177,171,123,88,158,178,162,152,174,181,181,181,180,180,159,160,163,165,166,167,170,171,172,176,187,168,137,135,182,162,134,98,110,143,139,125,126,185,181,181,180,180,159,161,164,165,166,167,169,168,163,187,188,169,140,119,196,176,160,128,98,103,123,119,90,169,183,182,181,180,160,162,165,166,166,167,181,169,135,168,189,164,138,136,193,195,177,138,101,88,110,108,82,144,187,183,182,181,161,163,165,167,166,179,198,170,131,155,189,163,130,153,184,192,176,138,98,77,92,99,78,145,188,182,182,182,162,163,165,166,166,185,200,172,131,144,190,166,120,165,184,189,172,135,96,69,81,88,78,159,187,183,183,183,163,165,165,166,168,179,192,173,135,134,188,163,109,135,170,195,169,130,92,69,74,77,89,176,186,182,184,183,163,165,166,165,173,187,175,170,141,118,170,151,105,74,144,199,163,125,87,70,68,71,110,189,184,184,184,185,162,164,167,169,180,172,155,146,132,89,126,123,91,42,160,200,161,119,84,71,71,75,125,190,183,185,185,186,164,164,165,177,190,162,146,121,105,77,100,110,71,81,199,190,156,121,87,67,71,74,140,191,185,186,186,186,164,166,166,179,197,171,150,128,121,81,100,114,132,185,202,181,150,121,89,76,77,82,171,188,186,187,187,187,165,167,164,190,195,170,151,132,124,105,114,162,208,191,179,172,144,113,86,77,70,104,190,185,186,186,186,185,166,165,167,202,189,169,151,136,132,134,153,211,209,184,161,157,135,102,83,80,81,158,188,185,184,185,184,183,166,165,175,206,185,169,159,144,141,139,195,215,202,177,147,145,126,92,84,80,143,189,186,186,185,185,185,184,166,165,182,205,184,176,167,144,148,174,213,208,191,168,140,133,116,87,79,120,189,186,186,186,187,186,186,185,166,166,184,206,188,181,171,147,166,200,204,199,183,156,133,123,105,82,89,177,188,186,186,186,187,187,186,187,167,167,179,203,190,184,172,155,176,201,194,182,177,146,126,114,95,76,141,190,187,187,186,187,187,187,187,187,167,167,177,203,192,182,170,167,175,197,181,175,158,141,116,105,87,94,184,186,187,187,187,188,188,187,186,187,168,166,181,199,185,175,167,171,174,187,170,171,145,135,107,96,76,133,193,187,187,188,188,188,189,188,186,185,167,165,186,186,173,169,164,170,177,177,160,169,154,121,102,90,78,170,188,187,187,187,188,189,189,188,187,186,167,166,188,170,165,167,165,168,177,171,160,168,152,115,96,81,115,191,185,187,188,187,187,188,189,187,187,187,167,166,196,182,173,174,176,175,181,164,156,158,138,109,90,88,173,189,188,189,188,188,188,189,189,188,187,188,165,169,204,190,175,177,183,180,183,150,149,146,123,101,80,146,191,188,187,188,189,189,189,189,189,189,188,188
6,206,208,210,211,212,214,215,215,215,215,215,214,214,212,211,211,210,210,209,207,206,205,204,203,203,202,200,200,208,210,213,213,213,215,215,216,216,215,215,216,215,214,213,212,211,210,210,208,207,206,206,206,206,204,202,200,210,212,214,214,216,217,217,217,217,216,216,217,217,215,214,213,214,213,212,211,210,208,207,207,206,205,203,202,212,213,214,215,217,217,217,218,218,219,218,217,217,216,217,215,215,214,213,213,212,210,208,208,206,205,204,203,212,214,217,216,218,219,219,219,219,219,219,219,218,217,215,216,215,214,213,213,212,212,210,209,207,207,205,204,213,215,218,218,219,219,220,220,220,220,219,219,219,217,217,218,218,216,217,217,216,216,214,212,209,208,206,205,215,216,219,219,221,222,222,221,221,220,221,222,222,220,218,218,215,210,204,199,199,193,186,183,181,164,187,201,217,218,219,220,221,223,223,222,223,222,219,208,202,204,203,191,177,165,149,162,175,181,168,167,166,145,189,202,218,219,221,222,222,223,223,225,225,212,201,174,167,169,173,181,172,159,152,155,167,176,161,156,149,133,147,162,218,219,223,224,224,224,226,223,219,211,198,183,170,157,127,147,153,150,132,117,124,118,118,119,128,134,152,180,219,221,223,224,225,227,222,220,211,197,193,182,179,179,126,94,94,91,95,128,154,174,186,200,212,213,215,214,220,222,224,227,226,222,212,214,195,182,188,188,192,160,113,97,82,146,193,218,226,226,224,221,219,216,214,212,221,223,227,224,218,210,207,198,188,186,182,190,190,146,100,98,93,138,233,222,220,218,218,218,218,216,215,213,221,224,223,218,211,209,202,195,193,185,180,189,181,170,137,100,98,81,155,234,220,221,220,220,219,217,215,214,225,219,216,215,210,205,196,192,189,182,179,181,181,183,155,111,93,99,92,205,228,221,220,220,219,218,216,216,199,224,217,211,203,200,192,186,181,177,177,178,184,182,145,109,97,100,79,172,236,221,222,221,220,219,219,218,103,162,224,218,201,192,185,178,176,175,174,175,181,181,158,117,92,95,97,213,228,224,223,223,222,220,219,218,101,89,129,199,201,187,186,182,179,178,179,177,183,181,173,134,95,90,96,217,229,226,224,224,222,221,220,219,97,99,75,90,167,199,183,178,177,176,180,182,181,182,168,127,98,100,83,198,236,225,225,224,223,223,221,220,95,80,77,68,80,152,177,177,179,179,173,165,162,158,138,120,105,103,96,217,234,227,226,225,224,223,221,220,80,74,71,76,72,69,128,172,176,171,163,151,144,135,122,114,112,111,84,164,243,227,227,225,225,223,222,220,72,78,76,73,70,68,65,114,171,172,159,146,136,146,138,110,112,112,79,164,242,227,228,227,225,225,223,221,74,78,80,73,65,71,67,57,110,155,142,129,112,129,108,95,108,109,155,231,232,230,230,228,226,226,224,223,76,78,74,69,64,66,61,62,57,105,109,106,151,214,196,176,197,216,237,234,232,231,230,229,228,226,225,224,75,74,65,63,62,60,59,56,58,42,113,217,240,244,245,245,241,239,233,233,233,232,231,229,229,227,224,224,75,64,60,59,61,58,55,55,49,83,233,244,235,236,236,234,234,233,233,232,231,232,230,229,227,225,224,223,70,57,58,59,56,52,53,55,39,134,255,232,237,237,237,236,235,234,232,231,231,231,230,229,227,226,224,221,64,60,59,51,57,58,46,56,42,167,252,237,239,237,237,236,236,235,234,233,232,230,229,230,229,227,223,220
6,177,178,178,177,177,177,178,178,178,176,176,175,174,174,173,174,172,172,171,169,167,166,167,165,164,164,161,159,179,180,180,180,180,180,179,180,180,177,177,177,176,176,176,174,173,174,172,171,169,168,168,167,166,164,163,161,182,182,183,182,182,181,181,182,181,180,179,180,179,177,177,175,175,175,173,172,171,170,169,168,167,165,165,162,183,184,185,184,183,183,183,183,182,183,182,181,180,178,177,177,177,175,174,173,173,171,170,168,166,165,165,163,185,186,186,185,186,185,185,185,184,183,183,183,183,181,180,180,179,177,176,175,173,172,172,169,168,167,166,165,185,188,189,188,189,189,188,187,186,185,183,184,184,181,181,182,180,179,177,176,176,174,173,171,170,168,166,166,187,189,191,191,192,191,190,189,189,186,185,184,185,183,184,183,182,180,179,179,179,176,176,176,173,170,167,167,189,191,192,192,192,191,191,191,191,193,193,192,187,188,188,189,187,183,180,178,175,171,160,156,168,169,171,168,191,194,193,193,193,191,193,192,185,173,167,173,174,161,150,144,136,148,150,149,138,141,115,132,185,152,155,171,193,194,196,197,195,196,185,166,156,135,119,112,114,145,133,119,106,118,145,148,134,132,124,124,161,113,151,176,194,197,201,198,185,170,141,136,145,142,141,115,53,96,124,122,84,106,109,104,93,72,75,84,105,140,174,172,198,195,182,165,151,143,135,130,136,145,137,81,38,22,41,45,47,67,79,97,103,126,143,156,172,180,175,173,179,166,152,145,137,131,128,119,125,134,121,75,32,21,27,64,105,148,179,184,189,193,190,187,183,178,176,175,168,162,152,140,133,133,132,126,126,129,133,111,49,8,102,200,196,199,192,190,187,185,185,183,182,180,178,176,180,163,151,142,136,135,134,127,127,130,134,108,50,18,45,197,193,191,191,190,188,188,189,184,183,182,180,179,165,155,152,143,136,135,133,135,129,131,129,114,53,28,9,144,206,193,194,192,191,190,188,186,183,183,182,179,154,152,149,140,138,136,136,136,138,141,139,125,66,27,11,83,209,193,194,193,192,191,189,188,185,183,182,180,166,141,138,142,149,144,136,128,122,124,126,104,59,28,20,25,195,200,194,194,193,191,191,189,187,184,183,182,158,133,135,147,151,151,134,128,119,116,107,81,57,37,14,67,204,198,197,195,195,193,192,191,189,186,184,184,129,119,137,144,141,138,129,117,107,116,103,65,58,48,13,171,209,197,196,197,197,196,193,191,189,189,185,184,79,99,118,135,127,116,105,93,82,81,65,53,52,57,17,177,205,198,198,197,196,194,193,192,189,187,185,183,9,40,72,107,103,87,76,68,59,33,15,34,62,62,7,157,210,197,199,196,195,194,192,191,188,186,185,182,4,0,0,21,50,54,36,30,31,22,20,50,57,41,31,183,204,199,199,197,197,194,192,191,189,187,185,183,9,0,0,0,0,0,63,98,72,36,34,61,77,142,184,204,200,201,198,198,197,196,193,192,192,189,185,184,3,1,0,0,0,106,226,216,205,163,140,156,196,213,208,203,201,201,198,198,197,196,194,192,192,189,186,183,0,3,0,0,0,210,212,207,211,217,217,215,209,203,204,203,202,201,200,199,197,195,194,193,194,198,200,197,7,0,0,0,128,225,206,209,210,208,206,206,206,206,206,204,202,201,201,204,205,206,200,194,185,147,112,115,8,0,0,40,227,207,210,209,209,209,208,208,205,205,205,204,203,203,201,171,129,112,91,65,40,6,0,0
17,166,168,171,172,174,175,176,177,178,178,178,179,178,177,177,177,177,175,174,174,172,172,170,168,167,165,163,162,167,170,172,175,176,177,178,179,179,180,180,180,180,180,179,179,179,177,177,176,175,173,172,170,169,167,165,163,170,173,175,177,179,179,180,181,182,182,183,183,183,183,182,181,181,180,179,179,177,176,174,172,171,169,167,166,172,175,177,179,180,182,182,183,184,184,185,186,186,186,185,184,184,179,176,181,180,179,177,175,173,171,170,168,175,177,179,181,182,184,184,185,186,186,187,187,187,187,186,192,190,162,156,179,182,181,179,178,176,174,172,171,177,179,181,183,184,186,187,187,188,188,189,189,189,189,188,200,203,152,139,178,184,183,182,180,179,177,175,173,179,181,183,185,186,188,189,190,191,191,191,191,191,191,191,199,216,171,145,179,186,185,184,182,181,179,178,176,181,183,186,187,188,189,191,192,193,193,193,194,194,193,193,203,229,197,157,180,188,187,186,184,183,182,181,179,183,185,188,190,191,192,193,194,195,195,195,196,196,195,195,210,238,213,163,175,190,189,188,187,186,185,183,181,185,187,189,192,194,195,195,196,197,198,198,198,201,200,196,212,237,217,165,169,192,192,190,189,188,187,185,184,187,189,192,194,196,196,197,198,199,199,199,202,217,216,196,195,222,218,168,164,192,194,193,191,189,188,187,185,188,191,193,196,197,198,199,200,201,207,210,207,225,226,207,188,199,201,167,159,191,195,194,193,192,190,189,187,190,193,195,197,199,200,201,201,206,228,234,209,198,212,212,217,213,178,146,150,190,197,196,195,194,192,190,189,192,194,197,199,200,201,202,203,211,230,221,205,182,177,174,205,222,185,135,136,187,200,198,197,195,194,193,191,193,195,198,200,201,202,204,205,214,222,187,183,179,142,125,153,215,207,149,126,179,201,200,198,197,196,195,193,195,197,199,201,203,204,206,207,217,223,188,170,159,137,128,136,207,228,173,126,167,200,201,200,199,197,196,195,197,199,200,203,205,207,208,209,222,233,206,175,158,155,156,160,210,237,193,137,164,201,203,202,201,199,198,196,199,200,201,204,207,208,209,210,224,233,199,172,168,177,184,200,232,238,199,147,164,203,205,204,201,198,194,186,199,200,203,205,207,208,209,210,224,235,208,184,180,193,203,231,248,231,192,149,164,204,207,202,183,162,150,136,199,201,203,205,207,208,209,210,224,242,223,197,186,201,219,245,248,223,181,145,165,205,206,186,139,117,111,105,200,201,204,206,208,209,210,212,223,245,234,211,195,208,235,250,241,214,173,138,163,204,197,154,112,102,98,95,200,203,205,207,209,211,212,214,223,246,243,225,208,212,237,248,232,206,167,131,161,195,161,115,92,81,74,66,201,204,207,209,211,212,213,214,221,245,249,235,222,216,231,241,223,200,162,124,143,149,116,94,81,66,59,52,201,204,207,209,211,213,213,214,219,240,251,241,229,215,215,226,213,195,156,116,109,108,100,91,76,58,50,49,186,189,193,195,197,199,201,202,205,224,249,242,225,205,199,206,202,191,150,108,90,93,93,92,83,61,45,42,137,139,142,144,143,144,146,148,151,180,238,235,211,191,186,192,196,182,138,98,75,77,81,82,89,73,47,37,114,116,117,116,116,116,116,116,118,146,222,219,194,180,180,186,188,164,116,82,67,59,67,70,83,83,57,38,117,119,119,117,119,120,120,120,118,118,196,210,188,178,182,182,175,143,91,50,52,49,55,60,73,84,66,42
6,189,189,189,189,190,190,190,189,188,188,189,188,187,186,184,183,182,181,180,179,177,175,174,173,172,170,168,166,193,193,193,194,193,193,193,192,192,192,192,190,189,187,186,185,184,183,182,181,180,178,177,175,174,172,171,168,195,196,196,195,195,196,196,195,194,194,195,193,192,191,189,188,187,186,185,184,183,181,179,178,177,175,173,171,197,198,197,197,197,197,197,197,197,197,197,196,195,194,193,191,190,188,187,186,184,184,182,181,180,178,175,173,200,200,200,200,200,201,200,200,199,199,199,199,197,196,195,194,193,191,190,188,187,186,185,183,181,181,178,177,201,201,202,202,202,202,202,202,202,202,201,200,200,199,197,196,195,194,193,191,189,188,188,186,184,182,180,179,203,203,204,204,203,204,204,204,204,204,203,202,202,201,200,198,197,196,195,194,192,190,189,188,186,184,182,180,204,205,205,206,206,207,207,206,206,206,206,205,204,203,201,201,199,198,198,197,195,193,191,190,187,184,184,183,206,206,207,207,208,208,208,208,208,208,208,207,206,206,204,202,199,194,187,181,176,176,172,163,166,176,171,181,208,207,207,207,208,209,209,209,210,207,202,196,191,188,180,171,164,159,143,138,145,149,142,137,165,189,162,169,209,209,209,209,209,209,210,209,198,175,157,153,151,155,155,151,146,141,133,128,138,129,129,127,131,145,140,172,210,211,210,211,210,211,205,190,175,159,139,138,143,147,150,145,138,118,112,105,105,108,120,124,132,153,174,188,212,212,213,213,212,197,180,174,169,152,124,105,110,110,111,114,114,108,117,140,164,179,187,191,195,196,194,192,212,213,214,212,192,171,170,169,164,152,131,96,72,59,133,180,192,196,199,205,205,204,202,201,198,197,195,194,214,215,212,192,170,169,172,172,172,170,151,106,67,59,87,122,155,194,209,208,207,204,203,202,200,199,197,196,215,209,191,177,174,177,180,178,176,172,131,81,60,61,62,61,61,100,198,209,208,207,205,203,202,200,198,196,198,179,175,180,181,180,181,170,167,157,105,68,55,57,63,65,63,60,156,212,209,208,207,204,202,201,199,196,174,173,181,184,182,180,172,161,165,160,134,104,63,46,54,58,60,53,120,211,210,208,207,205,203,202,200,198,175,177,182,185,184,176,164,162,167,167,164,129,76,54,54,50,59,117,185,211,209,208,208,206,204,202,201,199,177,179,185,186,179,166,159,160,158,158,151,108,64,54,56,55,72,198,215,211,210,209,208,207,205,203,201,200,179,180,181,175,167,161,158,156,149,142,133,98,56,46,52,54,88,202,213,211,211,209,208,206,204,203,202,201,178,174,165,161,163,160,153,147,137,135,141,124,74,48,49,68,177,213,212,209,209,208,207,205,203,201,200,199,166,158,154,157,153,142,134,130,133,142,153,135,80,57,56,75,200,215,212,209,208,208,208,206,205,203,198,189,159,157,155,147,137,129,129,131,134,136,135,104,66,56,55,111,209,215,213,211,211,210,209,207,185,157,126,98,153,149,141,132,131,129,126,116,107,100,88,66,79,108,140,201,216,216,213,205,189,188,185,160,98,70,54,53,135,123,105,105,118,120,111,92,77,70,81,127,192,213,218,218,209,166,140,110,80,83,76,65,53,57,48,40,94,77,61,72,89,91,83,72,76,109,149,179,189,190,192,188,144,85,73,55,38,48,41,42,41,41,46,30,72,53,62,88,97,95,92,91,99,106,111,111,109,110,108,95,74,62,55,53,31,39,37,34,35,34,37,29
3,120,120,121,123,124,124,125,125,123,124,124,124,123,123,121,120,120,118,118,116,115,114,113,111,110,109,107,107,125,125,126,126,128,128,128,127,126,127,127,126,127,125,124,123,124,123,120,119,117,115,113,113,112,110,108,107,129,130,129,130,132,132,131,131,130,132,131,129,129,128,126,133,109,110,126,121,120,118,116,116,114,112,111,109,133,134,134,135,136,136,136,135,135,135,135,134,133,132,129,139,99,75,133,124,124,121,120,119,117,115,113,112,138,139,139,139,139,140,140,139,140,139,138,138,137,135,134,138,105,60,130,129,127,126,125,122,120,119,116,114,142,142,142,143,143,143,142,143,144,143,142,141,140,139,137,140,105,49,128,133,130,128,127,126,123,120,119,117,145,146,146,146,147,147,146,147,147,146,146,145,143,142,142,141,106,48,127,138,133,132,131,129,127,124,122,120,150,149,149,149,150,150,150,150,151,151,150,148,147,146,144,149,117,50,122,143,136,135,133,132,129,127,125,124,152,152,153,153,154,153,153,152,153,154,153,152,150,150,147,153,109,43,126,144,139,139,137,134,132,131,129,127,155,156,156,157,156,157,157,156,156,155,155,154,153,153,151,144,105,55,127,148,141,141,140,137,135,133,131,129,159,160,159,160,159,160,160,159,159,158,158,157,156,155,152,144,110,58,115,154,143,143,142,141,138,136,134,132,161,161,161,161,161,161,160,162,161,161,161,160,158,158,157,160,111,41,105,157,145,146,144,142,140,139,136,134,163,163,164,164,163,164,163,163,164,163,162,165,165,158,141,128,135,83,97,169,149,147,147,144,143,140,139,137,165,165,166,166,166,166,166,166,165,165,166,152,140,156,122,53,116,124,58,117,150,153,147,147,145,142,140,139,166,167,167,167,168,168,168,168,169,166,160,131,73,117,133,69,72,114,54,44,70,145,153,148,147,145,142,140,168,168,166,168,169,169,170,170,170,162,152,132,102,83,138,96,48,100,80,62,43,108,161,149,149,147,145,142,168,169,169,170,171,171,171,172,166,155,108,104,122,82,111,104,43,48,82,69,31,94,164,151,150,148,147,144,171,172,172,172,171,171,172,174,161,149,115,63,99,66,74,110,46,40,79,103,45,75,166,152,152,150,148,145,172,172,173,173,173,174,174,174,164,146,111,57,71,34,65,83,27,51,72,128,74,54,160,154,154,152,149,148,173,173,174,174,174,175,174,175,168,142,128,97,55,41,78,63,32,94,128,126,79,52,163,158,155,153,151,149,174,174,174,175,175,175,176,178,171,144,142,112,70,67,94,80,101,159,133,103,41,107,170,158,157,155,152,151,175,175,176,176,177,178,178,179,175,141,140,120,88,70,99,152,160,147,107,68,48,163,164,160,158,156,153,152,175,176,177,178,179,178,179,179,181,143,124,114,90,76,89,147,138,121,86,39,89,176,160,161,160,158,154,152,174,175,175,176,178,178,178,178,182,158,116,116,99,88,87,132,127,101,60,33,146,170,164,162,161,158,155,151,173,176,175,176,178,179,179,178,179,176,125,114,112,95,74,102,98,70,26,109,175,163,163,160,158,156,159,159,174,176,177,178,179,179,179,179,179,178,146,127,112,83,62,70,65,24,86,178,164,164,162,163,167,162,138,94,176,177,178,178,178,179,180,180,182,164,148,140,113,88,74,68,55,41,166,171,171,172,168,154,110,69,34,17,175,176,178,178,178,180,180,180,182,152,137,145,123,110,90,72,33,88,182,165,143,110,81,52,25,21,16,16
10,146,150,153,157,159,162,164,166,166,167,168,169,170,170,170,171,171,170,171,171,171,171,172,171,170,170,168,168,149,152,156,159,162,164,167,169,169,170,171,172,173,173,173,173,173,173,173,173,173,173,174,173,173,172,172,171,152,155,159,162,165,167,170,172,173,173,174,175,176,176,176,176,177,177,177,177,176,176,176,177,177,176,175,174,155,158,162,165,169,171,173,175,177,178,179,179,178,180,177,148,176,181,180,179,178,180,180,180,180,179,179,177,157,160,164,167,171,174,177,178,180,180,181,181,181,184,187,134,154,185,182,181,181,182,183,183,183,182,181,180,160,163,167,170,173,177,180,181,181,183,184,185,185,185,194,164,131,179,185,184,185,186,186,185,185,184,183,182,162,166,169,173,176,179,181,183,184,185,185,186,188,188,196,189,142,161,189,187,187,187,188,188,187,187,186,185,164,168,172,175,179,181,183,184,186,187,187,187,183,178,195,211,173,139,187,190,189,190,190,190,189,188,188,187,166,169,174,178,181,184,185,186,187,189,189,193,178,129,164,216,197,135,168,194,193,194,193,193,192,191,189,189,167,171,176,180,183,185,187,189,190,191,192,196,195,144,119,196,206,151,141,195,194,195,195,195,194,194,193,192,170,174,178,180,184,187,189,191,193,194,194,196,211,197,152,154,190,169,124,193,196,197,198,197,197,196,195,194,171,175,179,182,185,188,190,192,194,196,197,205,192,219,189,127,138,173,114,183,198,199,199,199,199,198,197,196,173,176,180,183,186,190,192,194,194,198,206,202,155,157,187,136,98,123,103,165,201,200,201,200,200,200,200,199,173,176,181,184,187,191,194,195,195,210,216,187,137,79,151,160,105,77,81,124,201,203,202,202,201,201,202,201,174,177,181,185,188,193,195,196,197,210,220,158,97,40,100,157,130,84,70,91,185,205,203,203,202,202,202,202,175,179,183,187,190,194,195,200,208,195,214,177,113,45,79,150,154,121,81,81,166,207,204,205,205,203,202,202,175,179,184,188,192,194,196,202,219,208,195,209,176,91,95,173,171,146,91,74,155,209,206,207,207,205,204,203,176,179,183,188,192,195,196,199,203,218,195,179,195,153,142,194,178,151,98,71,150,211,208,208,208,206,206,205,175,179,183,187,191,194,195,198,183,189,182,139,172,177,136,199,180,146,106,73,145,211,209,208,208,207,206,206,176,180,184,187,190,194,195,199,207,183,163,139,127,170,189,213,186,144,99,76,145,211,208,208,207,206,206,206,176,180,184,187,190,193,195,199,218,206,167,151,149,214,227,213,180,134,95,79,151,211,208,207,207,206,206,207,176,180,184,187,190,194,196,198,210,215,187,180,178,226,220,200,168,122,95,83,145,211,209,208,208,207,207,207,178,182,185,189,191,194,196,199,206,215,198,204,187,221,210,183,157,123,109,92,138,212,209,209,209,208,208,207,171,176,181,185,189,192,194,197,200,211,210,214,190,200,201,177,160,135,131,101,146,213,210,210,210,209,208,208,112,117,121,124,129,135,139,140,146,198,217,213,195,176,189,178,173,148,131,98,144,193,193,196,198,200,200,201,96,96,95,94,94,96,98,98,99,153,210,200,186,171,174,182,187,152,119,94,101,111,114,116,120,122,122,125,99,99,99,102,104,104,102,101,102,114,188,183,176,169,169,184,188,149,112,92,104,104,103,104,104,103,102,102,98,98,99,101,102,104,103,101,102,101,167,183,176,172,178,177,179,148,108,92,112,111,109,113,112,112,113,114
15,129,128,130,129,133,134,135,137,139,146,156,164,170,174,178,183,184,186,189,192,195,197,199,201,202,204,206,207,128,129,129,128,131,133,130,135,139,147,156,163,170,175,179,183,184,187,190,191,194,198,200,201,203,205,206,208,129,129,129,129,131,131,144,135,136,147,157,165,172,175,180,184,185,187,190,194,195,198,201,202,205,207,210,209,130,129,128,131,119,163,211,174,150,146,152,163,172,179,182,186,187,187,189,193,196,199,201,204,205,207,208,209,130,129,128,131,121,165,214,202,191,180,167,168,163,173,181,186,188,188,192,194,197,198,201,205,206,206,208,209,129,130,130,130,130,132,174,176,173,187,185,186,176,169,166,170,174,179,185,193,199,204,205,204,206,207,210,211,128,130,129,130,132,131,134,146,147,161,170,175,190,186,179,175,173,175,174,167,171,177,191,210,206,209,210,212,129,129,129,130,130,133,134,135,140,148,151,148,171,177,176,171,174,186,193,181,162,149,133,182,213,208,211,212,130,130,130,130,132,135,136,136,140,149,157,159,164,167,165,161,157,185,192,195,176,167,141,125,197,214,210,214,128,130,130,130,131,133,135,135,139,150,158,166,173,175,175,169,168,196,194,195,185,181,164,143,138,208,214,213,129,130,130,130,131,132,135,136,140,147,155,166,171,180,186,179,205,205,184,188,201,187,183,168,135,143,213,214,130,130,130,130,132,132,134,136,140,147,171,171,172,171,177,201,210,198,161,191,200,186,203,178,151,121,155,222,129,130,130,131,132,132,135,137,133,171,204,184,190,185,167,180,178,153,137,184,184,182,210,184,154,137,119,175,129,129,129,129,130,132,133,136,136,167,185,191,210,210,178,152,163,145,117,174,167,189,205,184,160,142,127,124,129,128,128,129,130,133,133,136,138,148,163,175,205,204,172,172,179,171,163,163,168,177,182,176,159,141,128,126,128,128,128,127,129,132,132,134,139,149,159,170,180,168,167,184,182,176,182,185,173,145,142,155,147,137,127,124,127,126,126,128,128,129,130,131,138,150,158,161,173,179,155,171,184,185,190,192,174,141,127,135,136,133,134,126,126,125,125,127,128,128,129,131,137,148,158,162,182,231,163,127,130,174,182,186,168,137,130,135,133,135,137,132,124,125,125,125,126,127,130,131,138,149,157,161,179,222,168,121,88,115,164,174,155,138,137,136,134,135,138,136,125,125,125,125,125,127,128,129,137,149,157,161,176,213,159,111,129,101,122,162,138,132,134,139,139,137,138,135,124,124,124,125,126,127,128,129,136,148,157,161,176,212,150,125,141,123,135,154,165,148,148,147,144,141,137,134,123,123,123,123,124,126,127,128,135,145,154,162,171,218,137,138,161,142,174,140,174,159,152,145,140,137,135,131,120,120,121,121,122,123,126,126,133,145,153,159,178,225,123,143,212,115,191,181,153,132,134,134,134,133,134,134,123,121,122,123,122,122,124,124,131,143,153,158,175,187,116,157,212,113,177,205,158,156,161,115,118,122,119,121,168,166,164,162,159,159,161,161,163,163,164,165,174,157,140,181,173,143,185,188,191,196,195,141,112,114,114,116,142,140,140,138,139,140,142,145,141,141,139,136,139,138,143,146,144,144,146,145,147,143,146,144,123,123,131,136,142,141,141,140,140,139,140,139,138,141,140,137,138,140,140,141,140,141,143,142,140,139,140,141,141,147,151,145,143,142,142,142,140,142,143,141,142,143,146,144,144,146,143,142,144,144,146,144,145,144,145,147,145,148,175,154
16,117,119,123,127,136,146,152,158,163,165,166,169,172,177,181,185,187,188,189,192,194,194,196,198,198,199,201,202,117,119,123,128,137,146,154,159,164,166,167,169,174,179,180,183,186,189,191,192,194,195,197,198,200,200,200,202,118,120,124,128,138,147,155,160,165,166,168,171,175,179,181,185,187,190,192,194,194,196,198,200,200,201,202,203,118,121,124,128,140,148,155,160,165,167,170,173,176,179,183,186,188,190,191,193,196,198,199,200,200,202,202,203,118,122,124,129,141,151,157,163,167,169,172,173,179,184,184,188,193,192,193,196,198,199,201,201,202,203,203,203,119,122,125,132,143,152,160,162,166,170,170,169,171,166,155,148,159,194,196,195,200,201,202,202,204,205,205,205,120,123,126,134,145,153,156,164,173,169,157,144,134,122,115,118,111,130,192,202,200,202,204,205,206,206,207,208,121,124,126,135,143,151,168,184,177,154,128,124,122,112,105,113,122,103,120,196,205,202,206,208,208,208,209,209,121,125,129,131,143,176,191,165,141,122,105,117,118,108,104,113,117,108,108,123,208,204,208,209,208,209,210,210,122,126,118,150,179,172,137,125,119,108,105,120,118,106,108,116,115,108,126,95,152,217,206,209,210,211,212,211,121,120,159,190,154,125,107,111,111,95,114,126,116,107,116,117,107,116,123,111,100,202,210,209,212,214,214,214,116,197,209,149,119,108,98,97,124,152,121,107,86,109,124,113,91,121,121,110,91,144,223,211,214,214,214,215,142,233,168,134,109,94,114,151,214,214,136,86,89,91,116,99,82,131,118,106,103,88,178,221,213,214,215,216,125,183,144,115,113,162,224,219,225,202,154,102,96,91,82,64,92,138,114,117,117,109,104,187,221,214,217,218,120,128,131,122,206,226,222,212,224,195,156,118,102,95,55,41,100,136,112,125,127,127,112,117,219,218,218,219,125,126,128,150,228,206,223,217,221,181,143,120,115,106,98,50,83,128,112,123,132,120,112,91,185,227,218,219,125,129,123,168,237,208,229,219,203,157,116,119,124,116,110,89,64,110,120,161,147,113,102,86,144,232,218,221,126,128,121,196,239,205,228,216,182,136,124,129,131,127,112,102,67,79,168,199,195,176,142,83,144,234,219,222,127,130,122,205,238,201,205,195,139,112,116,136,131,118,113,105,96,82,191,216,216,216,212,166,175,228,221,224,125,128,124,180,244,200,151,141,105,103,111,116,113,105,101,99,114,96,184,223,218,221,224,211,162,183,230,223,125,127,130,151,212,149,117,110,110,119,124,115,98,95,100,93,99,86,155,234,212,218,218,195,153,133,229,224,126,126,134,144,166,124,108,125,119,107,100,96,89,86,88,85,99,117,123,186,206,205,204,180,131,160,232,225,127,128,134,147,157,157,114,112,96,115,118,124,118,97,86,106,117,125,115,100,123,171,182,162,175,225,229,227,127,127,135,147,163,152,103,103,93,100,170,141,115,107,92,80,80,71,70,69,45,126,232,221,233,230,228,228,126,128,135,147,162,132,105,99,102,86,66,90,69,56,48,43,44,45,45,48,34,99,241,226,227,228,229,230,126,128,135,151,153,116,104,97,93,105,60,35,59,56,49,42,42,43,44,46,35,182,238,225,228,229,230,232,125,128,135,152,137,108,101,94,91,94,88,33,50,59,50,43,42,43,45,37,64,226,227,228,230,231,232,232,125,128,136,149,116,102,99,92,88,91,97,41,37,53,48,44,42,42,46,28,115,245,225,229,231,232,233,233
12,169,171,174,177,179,180,184,188,189,190,190,190,192,190,191,193,191,190,192,192,191,190,190,190,188,187,187,186,172,175,177,180,181,182,186,190,192,192,191,192,193,194,194,194,194,193,195,196,195,192,192,191,190,189,189,188,173,176,179,181,183,185,188,189,192,194,195,194,195,196,194,197,196,197,196,198,197,197,197,194,193,192,190,191,173,176,180,182,183,186,189,191,192,194,195,198,199,197,197,199,200,198,196,198,199,199,198,196,195,195,193,192,175,179,182,184,187,189,191,193,195,197,198,200,199,197,204,202,199,199,203,201,198,199,198,197,197,197,197,195,176,179,182,185,189,191,195,196,197,199,199,198,200,199,184,195,207,190,162,190,204,198,197,199,200,199,199,198,178,181,184,187,189,193,196,199,200,199,201,196,225,223,158,151,236,183,109,116,215,203,208,200,200,201,201,200,180,183,187,189,191,192,196,199,201,200,200,199,255,236,172,140,229,178,108,63,163,148,157,209,201,203,203,203,183,186,189,191,195,195,196,198,199,203,213,160,174,221,163,127,220,170,99,72,184,134,58,165,212,202,204,206,182,185,189,192,195,197,200,203,195,238,227,178,100,161,156,113,214,170,85,122,199,147,70,100,221,204,205,205,183,186,189,192,196,199,202,200,216,255,244,191,119,99,182,112,234,216,122,155,207,162,74,88,219,207,207,205,184,189,191,194,197,200,203,197,241,223,236,195,123,82,201,118,200,201,92,166,250,181,65,92,220,208,208,208,186,189,193,196,198,203,204,203,253,213,219,195,122,61,111,96,57,135,112,165,191,109,35,102,222,208,208,209,189,192,194,197,200,205,200,236,253,191,202,189,125,67,38,41,36,172,222,202,165,133,48,113,224,208,211,209,190,193,196,200,202,204,204,255,231,168,175,182,127,79,61,66,173,208,193,181,153,138,77,140,227,211,213,209,191,193,198,201,204,204,217,255,219,185,146,170,175,79,49,202,238,202,181,163,123,104,75,146,227,211,215,212,192,195,199,203,206,202,235,255,224,202,155,127,142,79,144,255,235,197,175,151,111,96,63,159,229,214,216,214,194,198,199,204,209,202,244,253,224,194,181,137,133,162,235,251,233,189,165,136,101,88,57,180,227,216,217,215,195,198,201,205,210,203,245,253,227,204,189,156,160,172,241,251,222,180,153,126,95,87,46,165,230,214,218,217,197,199,202,206,210,204,242,255,233,214,202,173,147,187,247,241,208,177,142,111,88,78,46,193,227,215,217,217,198,201,205,207,210,208,235,255,234,215,201,179,154,215,236,218,194,168,134,101,86,49,128,232,218,218,218,219,199,203,206,208,211,210,228,255,226,209,187,168,180,222,204,198,177,150,120,95,57,110,228,223,220,220,221,219,200,203,206,208,212,210,234,251,218,207,183,180,205,218,189,188,163,133,111,72,103,224,225,224,224,222,222,221,202,204,208,211,215,207,246,249,228,218,199,198,217,215,186,175,150,128,92,79,210,229,224,225,223,223,223,223,203,206,209,212,217,208,255,255,243,221,208,214,216,198,181,146,129,108,67,160,232,226,227,225,225,225,224,223,203,207,210,212,213,214,255,255,255,227,218,216,200,185,158,123,116,69,126,230,230,230,228,226,226,226,225,224,203,208,211,215,210,220,255,240,245,219,215,200,192,164,138,119,94,81,207,234,230,232,230,227,227,226,226,225,205,208,213,216,207,226,250,218,213,200,199,203,182,146,140,113,70,136,232,232,232,232,231,229,228,228,227,226
1,91,98,82,66,66,57,70,21,54,82,96,108,145,115,98,131,132,139,140,143,147,150,152,154,155,157,159,160,93,101,80,69,65,63,68,21,60,85,102,111,147,126,86,131,104,129,144,145,149,151,153,156,157,159,160,161,96,103,77,72,63,69,63,24,65,85,134,121,123,143,97,142,103,102,147,147,150,151,155,157,158,159,160,162,99,103,76,75,64,75,54,28,68,86,146,129,109,147,102,144,126,89,145,149,151,153,156,158,159,161,162,163,102,101,75,78,63,80,45,33,73,89,149,135,109,164,125,132,137,89,137,152,152,155,157,159,161,163,165,165,105,101,77,82,63,85,37,40,77,91,147,140,112,172,134,127,158,103,124,155,155,157,159,161,163,166,167,167,108,98,81,85,65,89,31,45,105,111,143,159,116,164,136,130,171,118,107,157,157,159,161,164,166,168,168,169,112,97,84,85,68,90,27,51,141,117,136,161,115,154,139,122,167,130,99,157,158,159,163,166,168,169,169,170,114,95,87,84,73,87,24,58,146,115,131,160,113,153,151,117,165,137,97,156,160,162,165,168,169,171,172,172,115,93,90,82,79,84,23,63,151,118,126,167,113,147,161,115,169,145,99,152,161,165,167,169,171,172,173,173,116,93,94,80,85,75,25,66,157,136,122,171,122,125,161,109,158,147,96,146,166,166,168,170,172,174,174,174,112,94,97,78,93,66,29,68,153,139,108,171,127,100,151,103,142,153,97,137,168,166,169,172,174,175,175,175,111,95,99,75,99,56,34,71,143,144,101,157,134,126,143,138,154,133,92,121,169,168,170,173,175,177,176,176,110,95,99,74,103,47,39,73,140,158,102,141,154,134,122,150,150,102,79,104,171,170,172,174,175,177,177,179,108,98,100,73,105,39,45,75,140,151,122,148,150,147,141,174,162,109,72,85,165,171,173,176,176,177,180,180,106,100,100,74,106,31,50,77,143,156,156,139,139,142,151,164,159,133,88,68,155,173,174,176,177,178,179,181,106,102,99,78,106,26,55,79,156,171,149,127,126,131,137,136,156,157,118,71,138,176,174,176,177,178,180,182,103,107,97,85,102,22,58,81,164,166,137,117,125,134,149,163,169,174,148,93,113,176,175,177,178,180,180,181,103,110,95,91,96,21,61,82,153,165,130,113,131,136,157,184,174,176,159,114,96,174,175,177,178,180,180,180,105,111,91,97,87,22,66,83,134,169,140,120,125,143,161,186,183,167,149,109,93,174,175,178,179,180,181,182,106,112,87,103,79,23,68,85,113,167,146,127,123,147,163,187,184,164,138,97,100,176,175,177,180,181,182,183,106,115,85,110,70,25,69,87,100,157,158,136,122,141,161,184,180,159,133,93,102,177,175,177,179,181,182,182,110,118,83,117,62,29,71,86,97,140,164,145,132,131,156,180,171,151,131,90,103,177,176,178,180,181,182,182,114,121,82,125,54,33,72,86,97,117,158,152,145,132,148,171,163,143,124,86,108,177,176,179,180,181,181,182,117,122,84,128,45,36,71,84,95,106,136,156,150,142,139,153,156,136,119,83,124,176,174,176,177,178,180,180,121,120,85,129,37,39,69,82,93,104,116,153,153,145,130,133,144,124,112,85,147,173,173,174,175,176,179,179,123,116,90,128,29,41,68,79,91,104,108,145,152,139,125,124,125,119,110,85,157,169,170,174,175,177,178,179,125,113,93,123,27,45,65,73,83,97,103,135,147,130,126,131,126,118,103,82,158,166,167,170,173,175,176,175
4,220,220,221,222,222,222,221,221,221,222,220,222,222,221,223,223,223,222,222,221,222,222,220,221,221,219,217,215,223,223,223,222,222,222,223,224,222,223,222,222,222,226,223,224,225,224,223,223,222,223,220,221,221,219,218,219,225,223,224,224,224,223,224,224,225,225,224,222,220,226,230,225,226,229,232,226,223,223,224,223,223,221,220,221,224,226,225,224,227,226,225,226,227,225,224,243,224,185,193,227,207,175,205,235,231,227,222,223,223,223,223,222,224,224,227,228,229,229,227,224,229,223,211,228,255,218,148,213,234,169,117,203,194,211,231,223,224,224,224,224,228,228,228,229,230,229,229,225,243,254,232,159,222,255,151,204,253,189,121,200,174,114,199,238,225,227,226,224,230,230,230,229,230,230,229,232,240,246,239,170,183,248,134,184,255,182,150,236,193,117,111,236,228,228,227,228,229,230,231,231,231,232,226,247,233,219,246,153,155,238,149,139,240,144,137,237,205,129,101,235,229,230,228,229,229,231,231,233,232,229,231,254,204,163,233,170,130,232,207,174,191,174,205,250,228,137,136,246,227,231,229,230,229,230,231,234,234,229,243,245,204,153,195,175,112,165,200,212,200,223,234,232,203,160,130,236,232,232,231,230,230,231,231,234,232,235,250,234,220,179,146,115,97,130,125,176,186,196,206,205,174,195,105,192,245,230,233,232,231,232,232,234,234,242,245,210,179,164,139,104,99,146,95,118,147,146,174,157,181,205,126,140,250,229,234,233,232,232,233,235,234,246,247,203,157,130,127,112,116,147,121,159,166,146,104,158,242,215,166,103,225,239,234,237,232,232,233,236,233,253,255,223,175,129,104,102,129,129,150,200,205,163,148,192,245,231,206,112,164,252,233,239,231,231,231,235,233,255,255,234,183,129,105,101,137,141,197,204,204,196,234,233,218,244,206,124,118,250,236,238,231,231,231,233,232,255,255,246,191,126,119,108,120,155,195,198,223,240,232,235,220,207,178,134,101,230,239,237,231,231,233,233,233,255,255,254,193,130,143,134,122,166,191,224,237,233,229,219,205,167,145,126,106,229,238,236,231,231,233,235,238,255,255,240,190,170,163,136,178,217,233,249,240,230,216,201,180,149,118,92,186,243,235,237,231,231,234,234,237,255,255,243,213,194,172,137,204,248,243,250,240,221,202,184,162,133,90,150,245,237,239,237,232,232,234,234,230,255,255,252,234,198,190,159,191,250,243,245,230,198,186,171,146,107,111,236,241,240,239,238,231,232,232,237,223,249,255,255,242,213,196,179,190,247,241,232,212,184,170,149,127,91,195,248,239,241,239,237,237,237,238,242,232,236,255,246,225,213,197,182,194,232,228,213,195,170,156,135,93,139,252,241,242,242,243,242,157,161,163,171,160,215,255,238,215,210,205,188,197,213,211,191,172,153,146,119,95,217,248,244,247,246,239,235,101,102,103,110,84,191,255,233,224,224,211,191,197,212,206,188,155,137,131,101,109,145,144,144,141,146,177,221,114,115,114,119,97,193,255,236,231,229,212,191,198,216,214,186,133,121,110,99,108,96,92,108,171,196,211,230,113,113,112,118,95,191,255,238,232,230,228,197,187,212,206,159,117,111,100,109,113,132,208,237,230,255,241,203,115,115,115,120,98,188,255,239,232,240,244,199,170,206,186,135,111,96,92,158,212,237,255,239,184,190,235,230,112,114,113,118,101,190,255,229,225,239,244,196,166,200,176,124,100,89,181,255,255,238,216,199,183,153,181,220
3,190,190,192,194,195,195,196,196,194,195,195,195,194,193,192,191,190,188,188,185,184,184,182,180,178,177,176,176,196,196,197,197,199,200,200,198,198,199,198,198,198,196,195,194,195,193,190,189,187,185,182,182,181,179,177,175,201,202,201,202,205,204,204,203,202,204,203,201,201,200,197,205,178,179,197,191,191,188,185,185,183,180,180,178,205,207,207,208,209,209,209,208,208,208,207,207,205,204,201,213,165,138,206,195,195,192,191,189,187,185,183,181,212,212,212,213,213,214,213,212,213,213,212,211,210,208,207,212,173,120,202,201,199,197,197,193,190,189,186,184,216,216,216,217,218,218,216,218,219,217,216,215,213,212,211,214,173,107,200,205,202,200,198,197,193,190,189,187,220,220,221,221,221,222,221,221,222,221,221,220,218,216,216,215,174,106,199,211,206,205,203,201,198,195,192,190,225,224,224,224,225,225,225,225,226,226,225,223,222,221,219,225,187,109,193,217,209,208,206,204,201,199,197,195,228,228,229,229,230,229,229,228,229,230,229,227,226,225,222,229,178,101,197,219,213,213,210,207,204,203,200,198,232,232,232,234,233,234,233,232,232,231,232,231,229,229,226,219,173,115,199,223,215,215,214,210,208,206,203,201,236,237,236,237,236,237,237,236,236,235,235,234,232,231,228,219,178,118,185,230,217,217,216,215,212,209,206,204,238,238,239,239,239,239,237,239,239,239,239,237,235,235,234,237,180,98,173,234,219,221,218,216,214,212,209,206,240,241,242,242,241,241,240,241,241,241,240,243,243,235,215,200,208,148,164,248,224,222,221,219,217,214,212,210,243,244,244,244,245,244,244,244,243,243,244,227,213,232,193,112,185,195,118,186,225,229,222,222,219,216,214,212,244,245,245,245,246,246,246,246,247,244,237,203,135,187,205,131,134,183,113,101,131,219,229,224,222,219,216,213,246,246,244,247,248,247,249,249,249,240,228,205,169,147,211,162,106,167,144,123,100,176,239,225,224,222,219,216,247,248,248,249,250,250,250,251,245,231,176,172,193,146,179,171,100,107,146,130,86,160,242,227,226,223,222,218,250,251,251,251,250,250,252,253,238,224,185,123,166,127,136,179,103,97,143,171,103,137,244,228,228,226,223,220,251,252,252,252,252,253,253,254,242,220,180,116,133,89,126,148,82,109,135,199,137,113,237,230,230,228,224,223,252,253,254,254,254,254,254,255,246,216,200,164,115,98,141,124,87,160,200,197,142,111,241,234,231,228,227,224,254,254,254,255,255,255,255,255,250,219,216,181,132,129,160,143,169,235,206,170,98,175,249,235,234,232,228,226,255,255,255,255,255,255,255,255,255,215,214,191,152,132,166,227,237,222,175,130,106,240,241,237,235,232,229,227,254,255,255,255,255,255,255,255,255,218,195,183,156,139,154,222,211,191,150,96,154,255,238,239,237,234,231,228,254,255,255,255,255,255,255,255,255,235,185,186,166,153,151,204,199,169,121,89,221,249,242,240,238,235,231,227,253,255,255,255,255,255,255,255,255,255,196,183,181,161,136,169,164,132,81,177,254,241,241,237,235,232,236,236,253,255,255,255,255,255,255,255,255,255,221,198,181,147,122,132,126,78,151,255,242,242,239,241,245,239,211,160,255,255,255,255,255,255,255,255,255,242,223,214,183,153,137,130,114,98,244,250,250,251,246,230,178,130,90,70,255,255,255,255,255,255,255,255,255,228,211,220,193,178,155,135,89,153,255,243,218,179,145,110,79,75,69,68
1,60,68,53,38,39,30,43,0,27,54,66,75,111,82,66,99,98,104,105,108,111,114,115,117,118,120,122,123,62,71,51,41,37,36,42,0,34,56,71,78,113,94,54,99,71,96,109,109,113,115,116,120,120,122,123,123,65,72,48,45,35,43,36,0,40,53,102,87,87,112,63,110,70,68,113,110,114,115,118,120,121,122,123,125,68,73,46,48,35,48,29,1,43,55,112,94,76,114,67,111,94,56,111,113,115,117,119,121,122,124,125,125,71,71,45,50,34,53,20,6,49,57,114,100,76,129,88,98,106,56,103,117,115,118,120,122,123,125,127,127,74,70,47,53,35,58,12,13,50,57,113,106,77,137,96,93,125,67,90,121,117,120,122,124,125,128,129,129,77,67,51,56,37,61,7,16,77,78,106,125,81,128,99,97,136,82,74,122,119,122,123,126,129,130,129,130,81,67,55,55,40,62,3,22,110,84,99,128,80,118,104,88,131,94,67,121,121,122,125,128,129,131,131,132,83,65,58,53,45,59,0,31,113,79,95,127,76,116,117,82,128,102,65,120,123,124,128,130,131,132,133,134,83,63,61,51,51,56,0,35,117,83,90,134,76,111,127,79,132,110,66,116,125,127,129,131,133,134,135,134,84,62,65,49,57,48,0,38,123,101,87,138,85,91,128,73,121,114,62,110,130,128,130,132,134,135,135,135,80,62,69,48,64,39,3,41,118,104,73,137,90,65,121,66,105,123,62,102,132,127,131,134,135,136,136,136,79,63,70,45,70,30,8,43,108,110,67,121,99,92,110,103,117,101,59,87,134,128,132,134,136,138,137,137,78,64,69,45,74,21,13,44,105,125,67,104,120,100,86,115,115,70,48,73,135,131,134,135,137,138,138,140,76,67,70,44,77,13,19,46,106,116,87,113,113,112,105,136,127,76,42,55,129,132,135,137,137,138,141,141,75,69,69,45,77,6,24,47,108,120,119,104,103,108,115,127,121,99,58,38,119,136,134,137,138,139,140,141,74,72,67,49,77,0,29,49,120,136,112,93,91,97,102,99,118,122,86,39,103,140,134,137,138,139,140,142,71,77,65,55,74,0,32,51,127,130,100,84,91,100,113,126,130,136,115,60,80,141,135,138,139,140,141,141,71,80,62,62,68,0,36,51,117,130,94,80,98,100,120,147,134,137,125,80,64,138,135,138,139,141,141,141,73,81,58,67,59,0,41,51,100,134,103,87,92,107,123,147,143,128,114,76,62,137,136,139,140,141,142,143,73,82,54,74,52,0,43,54,81,131,109,92,89,112,125,148,145,126,105,64,68,140,135,138,140,142,142,143,74,84,53,80,43,0,44,58,68,120,122,101,87,106,124,144,142,121,100,60,70,141,135,138,140,142,142,143,77,86,51,87,35,2,45,57,64,106,129,109,97,96,119,141,133,114,99,58,70,141,136,139,141,142,142,143,80,89,51,94,27,6,47,57,65,84,122,115,109,97,112,135,125,107,93,54,76,141,136,140,141,142,142,143,84,89,53,97,19,9,45,54,65,73,102,121,114,107,103,117,120,101,88,51,90,140,134,137,138,139,140,141,88,86,54,99,11,12,43,53,63,73,83,117,117,110,95,98,109,90,80,54,111,136,133,136,136,137,139,140,91,82,58,98,3,15,42,51,61,73,75,109,117,103,91,90,91,86,79,54,121,131,132,135,137,138,139,140,93,78,62,94,1,19,39,44,54,67,70,101,113,94,93,97,92,86,72,51,122,129,129,132,134,136,137,136
7,157,158,158,159,158,158,157,157,157,158,158,158,159,158,157,156,155,156,145,51,32,58,74,76,99,123,137,158,159,160,162,161,161,160,161,161,162,161,161,160,159,159,159,159,158,162,123,41,50,75,69,71,97,119,141,160,164,164,164,164,165,165,165,165,166,165,165,165,164,164,162,162,159,166,97,37,56,66,70,65,91,124,147,162,166,166,167,166,167,167,167,166,168,167,166,163,162,164,160,159,155,161,131,100,116,68,61,82,100,136,154,155,169,170,171,170,170,170,169,170,171,170,172,161,146,161,169,161,146,148,138,158,193,105,55,81,110,150,156,147,173,173,173,173,176,174,171,174,182,187,182,167,154,163,163,159,148,143,138,132,167,110,72,96,129,160,157,146,176,177,176,175,175,176,184,192,196,192,184,169,168,164,132,140,161,152,152,141,139,122,121,161,146,162,165,151,181,179,181,180,174,181,190,190,186,180,178,179,172,161,139,146,165,153,151,145,122,116,103,134,129,160,171,166,182,180,200,196,185,183,185,182,183,183,180,180,173,152,148,139,126,112,105,104,91,87,94,96,102,158,170,175,182,187,211,197,179,175,182,185,184,181,174,165,153,135,122,111,108,112,125,123,101,163,156,135,105,158,166,176,185,193,208,194,164,161,172,174,172,156,131,115,94,88,122,169,180,178,190,163,129,202,135,166,115,151,164,170,187,197,202,183,156,162,163,145,125,102,111,140,107,108,116,96,175,186,183,176,160,120,112,191,117,135,163,160,187,200,199,182,183,178,163,150,142,151,155,151,144,139,150,82,111,197,181,184,182,126,169,197,124,111,160,153,192,202,202,205,211,188,153,155,161,160,152,140,136,135,129,81,106,198,185,185,182,176,161,180,152,104,150,156,195,203,204,212,211,182,144,144,142,134,134,129,123,117,97,89,183,191,188,187,184,183,193,180,167,149,153,158,197,204,207,209,193,170,156,145,121,100,107,122,117,114,100,109,198,191,189,189,189,186,163,126,132,159,155,158,204,208,207,200,183,174,176,179,148,121,134,150,142,125,122,108,158,201,191,190,190,196,161,121,144,153,153,159,208,211,203,192,183,173,186,186,147,121,130,133,123,110,110,88,157,202,191,193,193,195,187,149,166,147,152,158,207,208,202,193,183,184,199,179,141,122,123,120,116,109,91,106,194,197,196,195,193,192,193,166,158,150,143,154,205,207,200,189,188,194,188,161,130,113,102,96,86,72,91,179,203,196,196,195,194,194,195,176,160,156,140,145,202,202,194,187,189,179,162,143,127,118,94,71,84,126,182,206,198,198,196,196,195,195,197,183,162,167,148,129,195,195,189,185,185,170,154,146,134,116,124,172,191,210,206,202,200,199,198,199,198,196,199,185,160,171,165,142,191,189,188,182,179,170,161,148,114,92,191,215,205,203,201,201,202,201,200,201,199,196,198,184,157,168,167,156,189,180,182,182,166,158,148,119,78,150,217,204,205,206,204,203,203,201,201,201,200,199,198,184,158,165,164,159,186,174,169,163,151,139,120,86,111,210,208,208,208,209,207,207,204,202,203,203,201,200,201,186,160,165,161,153,177,167,160,144,127,110,83,91,194,212,208,209,208,208,207,206,206,205,203,204,201,200,202,181,162,165,160,153,159,149,140,121,99,81,97,185,215,209,210,210,210,210,209,208,206,205,203,203,203,202,199,171,165,165,160,150,142,130,123,110,88,121,195,215,209,210,210,210,210,210,210,210,208,207,206,206,203,205,187,164,169,169,164,154
24,112,127,141,152,162,167,168,175,183,188,192,196,199,200,205,208,210,211,214,216,216,217,215,215,215,215,214,213,112,129,144,155,165,168,170,177,186,191,194,199,201,204,208,209,212,214,217,217,218,219,219,218,219,217,217,218,113,130,145,157,165,171,172,181,187,192,197,201,204,208,211,212,214,216,218,219,220,221,221,219,219,219,220,219,115,132,147,160,168,168,178,183,189,194,199,203,207,211,213,216,217,219,220,221,221,223,223,222,221,221,221,220,116,134,147,162,168,206,168,179,194,197,201,204,209,212,216,217,219,221,223,225,224,226,225,225,225,224,224,224,116,134,149,161,176,226,138,149,201,198,203,207,211,215,217,219,223,223,225,227,227,227,226,226,226,227,227,226,118,135,151,163,173,199,131,119,199,200,206,210,213,219,221,223,224,231,230,229,231,227,230,228,228,228,228,227,118,137,153,165,169,201,146,98,184,209,207,215,216,216,219,234,235,196,218,236,231,232,232,231,231,230,229,229,120,138,154,168,173,187,172,111,144,212,206,195,225,222,159,213,254,184,133,225,237,234,233,234,233,232,233,232,121,140,156,168,178,181,205,137,103,196,233,173,225,243,141,181,242,180,109,150,246,235,235,235,235,235,234,233,122,141,156,170,180,180,197,165,130,198,255,201,245,254,155,224,223,134,103,110,228,240,237,236,236,237,237,236,124,142,157,172,181,184,192,217,163,201,255,207,235,249,148,235,210,108,89,98,186,252,236,240,240,240,234,224,126,143,159,172,182,185,189,211,192,228,255,198,211,249,151,243,219,105,91,106,139,255,239,243,241,233,221,198,126,145,160,174,183,187,188,210,255,235,252,213,191,235,154,255,222,89,86,106,95,226,253,238,239,240,203,150,128,146,162,176,185,189,189,220,252,203,214,198,147,209,159,255,183,68,97,118,104,153,236,228,245,217,149,112,130,148,164,177,185,191,192,217,255,230,202,183,134,192,161,124,77,94,110,137,167,181,209,216,201,139,111,207,130,150,165,179,185,190,193,213,255,249,202,179,189,193,217,126,133,206,199,210,207,198,188,175,126,131,233,255,130,150,166,179,188,191,195,209,255,255,225,191,183,192,230,234,255,255,241,224,201,172,152,118,126,247,255,247,132,151,168,179,188,190,196,208,255,255,221,191,204,251,255,255,255,241,225,207,175,145,108,114,240,255,250,251,132,152,168,179,188,191,198,205,255,255,229,212,219,254,255,255,255,230,209,179,144,100,121,235,255,252,255,252,134,153,167,181,190,192,199,203,245,255,240,224,212,251,255,255,248,215,185,152,98,152,255,255,255,255,255,255,135,154,168,182,191,193,200,206,233,255,242,212,196,243,253,239,226,198,165,101,161,255,255,255,255,255,255,255,133,153,167,182,191,191,199,206,226,253,217,189,195,242,232,209,188,160,101,155,255,255,255,255,255,255,255,255,133,153,167,181,189,191,196,205,221,245,216,207,212,243,224,186,158,106,110,255,255,255,255,255,255,255,255,255,133,152,168,181,189,191,198,208,221,255,247,231,223,237,213,166,143,90,188,255,254,255,255,255,255,255,255,255,132,151,168,182,190,190,199,210,219,255,255,238,215,231,194,155,130,99,227,255,255,255,255,255,255,255,255,255,132,152,167,181,189,191,199,208,216,255,245,221,212,231,186,167,109,103,242,255,255,255,255,255,255,255,255,255,130,150,167,181,188,191,199,205,220,250,225,196,206,219,183,157,88,106,251,255,255,255,255,255,255,255,255,255
15,136,150,159,161,167,176,184,191,197,202,207,211,216,220,224,228,231,234,237,239,240,242,242,243,245,245,245,245,138,152,161,164,168,179,187,195,200,205,209,213,217,222,226,230,233,236,239,241,243,243,243,246,245,247,247,246,139,154,163,165,169,180,189,196,202,207,209,214,219,224,228,232,236,239,241,243,244,245,246,246,247,250,248,248,141,154,165,166,172,182,190,197,202,208,212,217,221,224,228,233,237,240,242,244,245,247,247,248,249,252,251,251,142,156,166,167,174,184,193,199,206,211,214,219,223,226,230,235,238,242,244,245,247,248,249,251,252,252,253,253,145,158,167,169,176,185,193,201,208,213,215,219,223,228,233,237,240,243,244,244,247,249,250,251,254,253,253,254,147,161,168,169,178,188,196,202,209,215,218,224,232,237,240,243,247,248,252,254,255,255,252,251,252,252,253,255,149,163,170,170,179,190,198,204,209,212,210,199,190,197,205,213,220,219,209,199,201,226,250,255,255,255,255,255,149,162,170,176,181,188,188,184,184,187,179,167,161,158,161,163,173,183,173,167,148,134,148,169,197,224,248,255,152,164,176,187,183,189,180,159,158,151,136,150,172,173,167,152,172,200,190,189,172,152,141,122,107,109,127,159,154,167,175,154,131,127,107,83,91,89,84,92,109,107,100,101,153,170,170,167,154,154,162,149,130,114,105,111,156,168,173,172,162,142,135,151,174,192,203,197,187,174,157,127,145,147,155,130,134,146,178,159,140,122,114,125,157,167,172,179,191,201,210,218,221,224,229,235,239,251,233,183,169,144,131,109,132,163,193,170,156,138,128,140,157,167,172,178,186,195,202,208,214,219,224,229,234,230,195,204,162,87,101,61,147,210,199,173,170,156,145,146,157,167,171,176,186,196,202,209,215,218,223,228,233,216,196,171,152,54,60,40,174,226,203,170,171,159,147,138,159,168,171,177,186,195,204,210,214,219,224,231,223,213,211,150,86,47,62,28,167,232,197,166,149,139,132,118,160,169,172,178,188,197,206,210,214,219,224,230,228,191,214,185,82,50,59,37,173,213,191,156,123,115,100,96,159,170,174,179,189,198,205,210,215,220,225,230,239,222,206,210,144,76,121,184,190,184,185,139,107,97,86,95,159,169,173,179,188,197,204,210,217,221,226,231,234,244,221,209,189,177,185,174,164,151,121,86,78,70,76,83,160,168,171,179,189,198,205,209,215,221,226,230,234,243,223,191,198,175,126,131,114,88,93,154,146,147,172,201,160,169,172,181,192,199,207,215,222,228,233,236,240,214,169,153,162,142,103,88,70,53,59,222,255,255,255,255,125,132,136,141,147,152,161,166,169,177,185,187,211,196,156,128,103,101,79,57,58,51,56,123,255,255,255,255,109,110,110,113,117,114,113,112,115,115,118,113,149,173,112,82,70,93,110,85,82,114,102,118,156,157,163,170,118,119,122,124,125,127,126,126,130,133,133,132,136,130,96,105,122,133,135,134,132,134,135,130,127,128,126,126,117,118,120,122,124,124,125,126,127,129,129,132,132,128,136,145,140,135,133,134,135,135,133,135,137,138,138,138,118,121,122,123,124,125,125,127,126,127,128,128,131,131,133,136,137,140,135,134,133,133,136,138,137,138,139,140,118,119,124,126,126,127,127,129,129,130,129,130,133,133,132,131,131,136,135,133,133,134,136,137,137,139,139,141,117,118,123,125,126,127,127,129,129,131,130,132,132,133,134,133,132,134,134,135,135,134,135,137,136,136,139,138
24,161,163,164,166,167,170,171,171,171,173,171,172,171,172,170,170,170,170,169,168,168,167,166,164,164,164,164,163,161,163,166,168,169,170,172,173,172,174,172,173,172,173,172,172,172,171,171,170,169,169,168,168,166,164,163,162,163,164,167,167,173,172,172,174,174,174,175,174,174,174,174,174,173,171,171,171,171,170,169,169,168,164,164,163,164,166,167,172,153,169,174,175,176,176,176,175,175,175,175,175,174,172,172,172,171,171,170,169,169,167,165,165,166,167,170,185,115,158,179,176,176,176,177,177,176,175,175,175,175,175,173,174,172,171,171,170,169,167,167,168,167,168,176,174,106,160,179,177,177,177,179,180,177,175,177,176,176,175,174,175,173,172,171,170,169,168,168,169,168,167,178,170,106,159,181,177,179,178,175,170,182,178,177,178,177,176,175,176,176,177,175,171,171,170,169,169,169,168,179,175,109,160,184,179,181,184,180,136,141,181,180,178,179,177,177,166,154,140,165,175,171,170,170,169,169,170,180,173,112,148,180,177,150,177,189,165,109,118,182,181,179,178,158,125,111,96,138,180,172,171,171,171,170,170,179,169,168,166,166,192,133,142,195,170,112,86,138,188,179,172,129,97,106,144,169,177,175,174,173,172,172,172,178,187,203,183,185,197,151,128,192,163,103,80,98,175,187,158,107,101,172,183,179,177,175,174,175,173,172,174,179,180,209,185,191,199,152,100,154,128,96,70,97,167,172,129,96,153,186,176,177,177,176,175,175,174,173,175,177,186,212,186,200,206,150,97,58,119,152,139,160,168,136,101,119,187,180,180,179,179,177,177,176,175,173,176,177,207,205,170,174,188,128,85,100,189,188,175,162,155,121,96,168,187,182,182,182,180,178,177,176,176,174,176,181,195,181,157,123,124,104,149,208,199,181,163,146,133,112,123,190,183,183,183,182,181,180,178,177,177,176,175,191,193,179,160,136,98,171,221,206,198,177,151,130,118,104,162,192,184,183,184,183,182,181,180,179,177,177,174,199,208,185,161,151,174,225,211,205,193,164,137,119,111,109,184,188,185,184,184,184,183,182,182,181,179,177,175,207,211,191,178,189,221,219,211,200,180,150,121,118,97,139,196,187,187,187,187,185,185,183,182,180,179,177,175,210,213,197,197,216,222,213,205,188,162,131,115,108,107,184,193,189,188,188,187,185,184,184,183,182,181,178,175,209,217,202,209,224,212,193,183,167,141,121,113,102,169,196,190,190,189,187,187,186,185,184,184,183,182,179,177,208,223,205,198,204,198,179,163,149,123,115,98,161,199,191,190,190,190,188,188,187,186,185,184,183,183,179,178,200,216,198,195,204,202,183,166,145,120,91,119,197,193,194,193,191,190,189,189,190,188,186,185,185,183,179,180,189,195,184,198,203,199,183,161,139,109,76,156,199,193,194,194,193,191,189,189,189,189,188,187,187,184,178,182,183,191,197,204,197,190,183,157,133,97,87,180,198,194,195,195,195,193,190,190,190,189,189,187,186,185,177,180,181,200,208,194,193,187,175,153,131,94,97,191,194,194,194,194,193,191,190,190,190,189,188,187,186,185,176,180,179,205,205,184,197,177,167,153,129,101,91,185,195,193,193,194,191,190,191,191,189,188,187,187,185,184,177,181,179,211,207,184,198,173,170,153,124,101,86,175,198,194,194,194,192,190,190,190,189,188,187,187,185,183,177,180,180,211,209,189,199,181,167,150,123,103,83,167,200,194,196,193,193,192,190,190,189,189,188,187,186,185
10,132,134,136,138,139,140,142,143,144,144,145,145,147,149,151,151,150,150,151,151,151,152,152,151,150,150,151,151,135,137,139,141,142,144,145,146,146,147,148,149,150,152,153,148,148,152,153,153,153,154,154,153,152,152,152,152,139,141,143,145,147,148,149,150,151,151,152,153,154,156,163,138,135,153,156,157,157,157,157,156,155,154,153,153,143,146,148,149,151,152,153,154,155,155,156,157,157,161,171,136,124,155,159,159,160,160,159,159,158,157,156,156,148,150,152,154,156,156,157,158,159,159,160,161,160,165,177,140,120,155,162,163,163,163,161,161,161,160,159,158,152,154,156,159,160,160,161,162,163,163,164,164,164,169,181,148,122,157,166,166,166,165,164,164,164,163,161,161,156,157,161,163,163,163,165,167,158,158,166,167,168,173,186,156,125,158,170,170,169,169,168,167,166,165,164,164,159,161,164,166,166,167,169,165,131,116,140,148,160,176,189,162,126,156,173,174,173,173,172,171,169,169,168,167,162,164,167,169,171,171,171,156,106,75,90,101,128,175,193,167,125,155,176,177,177,176,175,174,173,172,172,170,165,168,170,172,174,175,176,165,118,79,85,84,103,170,195,169,125,156,179,180,180,180,179,178,176,175,174,173,167,171,173,175,176,177,179,179,150,111,124,104,96,151,171,152,121,158,183,183,183,183,183,182,180,179,178,177,171,174,177,179,179,180,184,189,158,115,152,140,104,111,116,117,112,159,186,187,187,187,186,184,183,182,181,180,174,176,179,181,184,184,186,196,161,100,136,160,120,86,81,93,103,159,188,189,190,189,188,187,186,185,183,182,176,179,182,184,191,197,192,196,170,105,104,163,146,99,81,90,98,159,190,191,192,192,191,190,189,188,187,186,179,181,184,186,192,199,186,186,180,126,86,145,166,124,90,87,95,160,193,194,194,194,193,192,192,191,189,188,181,183,186,188,188,182,164,162,191,151,83,111,167,146,104,82,92,159,195,196,196,195,195,195,194,193,191,190,183,186,188,190,190,180,157,143,165,128,75,96,154,156,122,85,89,160,198,199,198,198,198,197,196,194,193,192,186,188,190,191,193,190,163,143,129,91,91,125,152,154,126,87,88,163,200,201,200,200,200,199,197,196,195,195,188,189,192,193,197,201,180,152,130,114,151,181,167,144,118,87,94,171,202,202,202,202,201,200,199,198,197,197,189,191,193,195,199,207,191,170,160,158,196,203,172,135,110,89,108,184,203,203,204,203,202,201,200,200,199,198,192,193,194,196,200,207,199,185,176,176,206,198,166,130,104,89,121,193,205,205,205,204,203,202,202,201,201,200,192,194,196,198,200,205,200,187,180,180,201,187,156,125,100,87,127,197,207,207,206,206,205,204,203,203,202,201,194,196,198,200,201,202,201,194,188,177,190,178,148,118,95,86,132,200,208,208,208,208,207,206,205,204,203,202,195,197,199,200,201,200,199,196,187,171,182,173,142,114,94,90,141,203,209,209,209,209,208,207,206,205,204,204,196,198,200,201,202,201,199,192,176,161,172,166,141,117,97,97,160,207,210,210,210,209,209,208,208,207,206,206,196,198,200,201,202,202,203,188,168,160,167,158,148,128,99,113,184,212,213,213,212,211,210,210,209,209,208,207,196,198,200,201,202,201,208,197,180,171,166,160,156,133,100,137,201,214,214,214,214,213,213,212,211,210,209,208,195,197,199,201,200,197,208,203,190,177,164,160,154,126,101,162,209,214,214,214,214,213,213,213,212,211,209,209
6,192,193,193,194,194,195,194,194,196,197,196,197,197,196,197,197,195,196,196,197,196,196,195,195,194,193,193,193,193,194,194,196,196,195,196,196,196,196,196,197,198,198,198,199,198,198,198,198,197,198,197,196,196,195,194,195,194,194,195,196,196,196,197,198,197,196,196,197,198,199,199,199,198,199,200,200,200,200,198,197,197,195,195,197,194,195,195,196,197,197,198,199,199,199,198,198,199,199,201,202,202,201,200,201,200,198,198,200,196,199,198,197,195,196,196,196,199,199,199,199,199,200,203,201,201,201,199,194,188,190,188,190,185,177,163,164,183,179,196,199,197,197,198,199,199,199,199,200,201,199,197,194,186,185,187,180,183,186,202,202,190,180,166,154,168,147,190,202,195,197,197,199,200,201,201,196,187,180,182,182,182,197,198,184,175,178,180,172,157,140,132,136,143,165,202,201,195,196,198,201,200,198,195,189,179,170,168,174,178,171,162,145,131,123,124,137,147,158,172,188,197,203,202,201,196,197,198,196,195,194,192,192,180,158,135,127,121,108,106,106,111,148,188,203,207,209,208,205,203,202,201,201,195,195,193,189,187,189,191,190,187,171,127,93,82,87,115,150,187,209,206,205,202,200,202,202,202,201,200,200,195,188,186,187,190,187,190,194,193,161,120,90,84,88,113,205,210,200,203,203,201,201,202,202,202,201,200,199,185,186,187,187,185,190,197,196,166,118,103,90,84,92,89,110,189,211,202,204,203,202,202,202,202,201,201,200,187,189,185,187,187,193,192,193,180,153,111,82,82,99,96,82,88,181,211,203,203,203,204,204,203,202,201,201,194,189,186,189,193,191,192,203,204,176,123,83,77,91,111,108,89,92,201,207,205,206,205,204,202,202,202,201,190,191,190,187,191,196,194,207,197,154,112,87,85,84,91,98,102,76,168,213,203,205,204,205,204,202,202,202,193,192,189,188,190,192,189,195,186,143,102,86,87,87,77,79,85,103,194,213,209,209,209,209,208,208,204,201,194,189,185,183,179,181,183,188,186,157,110,75,83,92,93,90,75,152,186,186,190,193,196,194,189,188,199,206,190,187,185,184,181,184,188,194,198,169,111,78,68,79,111,91,84,100,99,103,106,104,99,109,146,182,210,210,186,191,190,187,187,192,194,201,195,154,97,82,83,73,81,95,96,101,98,96,89,115,146,178,209,209,216,217,188,189,184,183,182,178,174,184,160,125,98,88,86,83,82,103,114,100,110,125,164,209,222,200,186,193,195,208,183,175,171,174,165,155,153,154,133,113,101,97,92,82,85,95,121,173,200,206,214,201,194,195,184,176,188,192,169,171,164,155,147,143,142,136,118,101,97,99,98,86,96,147,213,228,218,208,197,182,173,176,181,172,164,168,147,151,149,138,132,124,112,110,111,101,103,97,100,134,196,230,218,202,200,195,181,166,163,163,172,168,158,163,106,112,112,109,100,95,96,99,101,104,94,131,195,229,228,219,208,196,190,195,171,149,157,157,160,163,158,158,80,81,88,91,93,99,102,102,106,90,147,213,225,218,209,203,192,191,191,192,164,131,147,152,147,158,153,150,91,91,101,103,98,100,103,103,89,156,223,203,205,191,200,194,179,185,191,193,160,119,131,144,145,151,146,153,98,98,99,99,98,100,99,90,161,221,196,188,189,189,197,183,170,173,186,190,162,114,114,134,139,143,151,147,98,97,98,98,99,97,108,174,217,199,189,178,187,189,193,175,161,162,178,192,164,116,108,125,138,145,156,139
15,94,102,111,119,124,125,130,136,143,147,151,154,158,160,163,165,169,172,174,175,177,179,179,180,180,181,182,182,93,103,112,121,124,126,131,138,144,148,152,156,159,163,165,168,171,173,175,177,179,180,181,180,181,184,184,183,96,106,114,121,126,127,132,140,144,149,153,158,160,164,166,170,172,175,177,178,180,181,182,184,185,186,186,186,98,107,115,123,127,129,135,142,146,151,155,158,162,166,168,171,173,176,179,180,181,183,185,186,187,186,187,188,98,108,117,125,128,131,137,142,149,154,156,160,165,168,171,173,174,177,180,180,183,185,187,188,188,188,189,190,99,108,120,123,126,130,137,144,151,156,159,164,167,169,173,176,177,178,181,184,186,186,188,190,190,191,191,192,100,111,116,147,160,141,142,145,152,156,161,165,169,170,173,178,179,181,184,186,187,189,189,190,191,191,193,193,102,113,114,199,192,160,159,151,157,162,162,161,166,172,177,180,180,184,186,186,188,191,192,192,194,194,195,194,103,114,119,163,175,157,156,147,165,168,164,159,145,151,165,171,176,185,187,190,193,194,193,194,196,196,196,197,104,114,124,131,140,136,130,128,150,155,157,158,150,159,155,158,163,173,180,170,175,188,199,193,196,198,198,199,107,115,126,135,136,137,141,143,148,147,142,140,148,161,157,150,145,158,177,169,158,145,163,203,199,197,200,200,108,117,129,135,136,140,149,155,160,163,158,153,151,148,142,134,132,155,168,183,161,143,129,148,203,202,199,202,108,119,130,137,139,142,150,156,160,166,171,174,177,174,165,148,158,174,168,171,166,152,156,136,136,199,205,202,110,120,130,138,141,143,151,157,161,166,170,173,178,183,186,213,203,182,140,146,185,149,165,165,128,126,203,207,110,121,132,139,142,144,152,158,163,169,170,183,184,155,157,190,196,165,108,115,192,144,168,167,160,115,125,207,111,122,133,141,142,145,154,159,165,170,169,202,182,141,143,196,208,165,126,131,164,160,172,164,152,132,100,119,114,124,133,142,143,146,154,160,165,171,173,191,158,138,150,205,210,160,130,138,134,144,159,144,131,131,118,100,116,126,135,143,143,146,154,161,167,173,176,180,177,143,157,201,191,150,135,145,144,142,153,137,111,122,122,119,114,126,136,143,144,147,155,163,168,173,179,176,225,219,140,117,121,122,144,160,155,158,162,142,120,123,122,118,115,126,138,144,146,149,157,163,168,173,181,177,215,233,169,81,40,27,42,79,142,156,155,140,137,134,117,107,117,127,138,145,147,151,158,164,169,175,181,177,211,229,168,94,63,46,19,2,65,141,137,129,113,94,76,60,118,128,139,145,147,152,159,164,170,175,181,180,204,234,147,94,113,105,75,45,28,75,85,70,51,42,37,27,118,130,139,144,146,153,159,164,171,176,182,183,197,236,154,119,153,133,127,120,71,48,44,43,40,38,38,32,117,130,138,143,144,151,156,164,169,174,181,184,190,236,178,114,166,140,133,97,58,51,49,47,43,40,38,35,117,128,138,143,144,151,158,165,171,176,180,184,182,225,200,103,194,198,145,74,49,46,47,47,44,41,39,36,117,129,139,143,146,152,160,167,172,178,181,187,183,220,183,95,200,215,156,64,45,45,46,48,44,41,43,43,118,130,140,144,147,152,161,167,173,179,182,187,189,204,136,159,207,213,170,66,57,52,49,44,43,43,44,42,117,131,141,146,149,153,161,166,174,179,182,187,191,193,189,204,203,207,210,103,65,58,51,44,43,44,43,39
12,182,187,191,195,198,201,204,206,209,211,211,211,213,215,214,211,211,215,217,210,211,210,209,210,209,208,207,205,184,188,192,196,198,203,206,209,210,211,213,214,213,205,203,219,215,184,186,218,213,214,214,210,211,210,209,208,185,188,193,197,200,203,206,210,210,213,216,212,227,211,172,185,230,206,149,173,202,169,194,217,212,212,211,210,186,191,194,199,202,205,209,210,212,215,215,215,250,247,217,160,168,243,203,127,141,174,133,205,217,213,213,211,189,192,196,200,203,208,210,212,214,216,212,239,231,234,233,178,110,194,207,137,91,159,137,137,223,214,214,214,191,194,197,201,205,209,211,214,217,217,213,251,197,217,232,164,106,180,191,133,93,132,141,98,211,218,215,215,193,196,200,203,208,211,213,218,216,219,223,174,146,221,208,148,97,188,181,121,99,142,127,104,217,216,217,215,194,199,202,206,209,213,217,215,227,249,226,150,105,160,198,170,86,172,216,143,101,171,134,122,228,215,216,216,197,201,204,208,211,215,214,233,249,240,229,171,106,111,210,165,73,179,228,134,110,213,135,158,231,217,218,217,199,202,207,210,216,215,230,250,204,206,240,178,107,65,160,147,47,108,211,120,98,185,136,207,226,221,221,220,201,205,210,213,218,218,246,241,206,182,220,167,111,62,79,83,78,112,126,143,149,158,104,191,232,220,222,222,203,208,212,216,217,228,235,204,176,137,199,168,115,69,78,84,178,230,188,184,162,149,125,134,234,222,222,222,204,210,214,219,220,223,244,213,185,123,172,168,112,75,90,143,208,221,209,181,149,118,136,112,216,229,223,223,207,213,216,220,221,226,246,218,190,142,145,171,140,83,120,195,219,214,206,184,148,118,114,112,225,229,225,225,210,215,218,223,223,237,251,227,201,169,124,160,160,96,194,228,224,217,213,167,140,117,82,156,241,225,224,223,214,218,222,226,225,245,252,235,210,177,145,135,133,165,234,231,231,229,199,147,133,106,90,219,232,232,236,235,216,221,224,227,227,248,249,238,218,185,172,153,150,202,218,226,236,223,176,138,129,81,147,255,235,217,182,146,219,223,226,229,229,242,244,244,223,195,188,167,160,196,202,229,234,206,158,130,117,83,189,174,123,85,65,62,223,227,229,231,233,234,248,245,226,205,200,179,164,205,197,233,226,183,143,120,105,80,77,58,54,56,59,56,225,230,232,234,238,231,245,239,225,210,206,187,168,203,216,210,201,161,129,112,94,58,54,55,56,53,58,49,228,232,235,237,242,234,238,240,226,211,200,189,178,191,213,190,170,143,119,109,67,39,60,57,44,46,61,54,229,233,236,238,243,233,232,245,226,210,197,184,169,176,197,179,155,133,112,97,55,31,49,65,47,37,51,60,230,233,236,239,245,232,236,242,218,201,194,181,163,174,188,169,135,123,106,74,69,34,33,56,61,39,39,55,232,236,239,243,247,233,238,237,199,187,189,174,160,177,175,155,119,111,63,47,70,52,20,40,58,52,33,42,234,238,241,244,249,231,239,245,199,196,199,183,171,179,160,138,115,88,42,34,58,65,24,25,46,58,44,31,235,239,242,244,253,211,234,247,208,216,213,189,170,174,150,132,107,65,53,29,44,63,39,16,33,54,55,35,241,244,248,247,255,152,211,254,227,240,218,181,172,172,144,126,96,54,51,35,27,53,51,16,22,45,56,45,209,214,220,223,238,113,135,246,228,235,202,168,177,171,139,122,80,62,46,38,19,46,54,23,15,37,53,52
6,176,176,176,176,177,176,176,176,175,175,176,175,174,174,171,171,170,169,169,168,166,165,163,163,162,160,159,156,179,179,179,180,180,179,179,179,178,178,178,177,176,174,173,173,172,171,170,169,169,167,166,164,164,162,161,159,181,182,182,181,181,182,182,181,181,180,181,180,179,178,176,175,175,173,173,172,171,169,168,167,167,164,163,161,183,183,182,182,183,183,183,183,182,182,183,181,181,181,180,178,176,176,175,173,172,172,170,169,169,167,164,163,185,185,185,185,185,186,186,185,185,184,184,185,183,182,181,180,179,178,176,175,174,173,173,171,170,170,167,166,186,186,187,186,186,187,187,186,186,187,186,185,185,185,183,182,181,180,179,178,176,175,175,174,172,170,169,168,187,187,188,188,188,188,189,188,188,189,188,187,186,186,185,183,183,181,181,180,178,177,176,175,174,172,170,168,189,189,190,190,191,191,191,190,190,190,189,189,189,187,185,185,184,184,185,184,183,181,180,179,176,172,173,171,190,190,191,191,191,192,192,192,192,192,192,192,192,192,191,190,188,182,176,171,166,167,164,153,155,164,160,172,192,191,191,191,192,192,193,192,195,194,190,184,178,177,169,160,153,151,134,130,137,143,136,129,159,189,151,157,192,192,193,193,193,193,193,196,185,162,146,144,141,145,146,143,140,138,131,127,141,127,128,124,124,137,128,164,194,194,194,194,193,196,192,177,163,151,133,136,141,144,149,144,137,115,111,101,98,101,114,117,122,142,165,178,195,195,195,196,198,184,166,162,161,147,120,102,112,112,105,104,105,101,109,133,157,171,179,183,187,187,182,178,195,196,197,199,179,157,159,160,155,144,128,96,76,57,137,183,189,188,190,196,194,190,188,186,182,181,181,180,196,197,199,179,155,159,162,161,163,162,151,111,73,67,92,123,151,190,193,190,190,188,187,187,186,184,182,182,200,196,176,163,164,167,169,168,166,166,130,83,69,71,67,63,57,93,195,192,192,191,189,188,187,185,184,182,186,164,161,170,170,168,171,159,157,152,100,69,64,67,74,77,77,58,151,202,191,192,191,188,187,186,184,182,161,162,171,173,170,169,162,151,156,153,131,108,70,54,64,68,72,50,108,203,191,192,191,189,188,187,185,183,165,166,170,173,173,167,153,154,159,159,162,132,82,64,65,58,65,114,180,196,192,192,191,190,188,187,186,185,166,168,173,176,168,156,150,153,151,151,148,107,70,66,68,65,71,200,201,193,194,192,192,191,189,188,186,185,167,169,171,165,157,152,151,150,143,137,129,98,61,55,65,60,79,194,196,194,194,193,191,190,188,187,187,186,168,165,155,151,156,154,148,142,131,129,137,126,79,57,59,70,178,200,194,192,193,192,191,189,187,185,184,184,158,149,145,151,148,137,129,125,128,138,150,139,85,68,67,71,196,198,195,192,191,191,191,188,191,193,190,182,151,149,150,142,131,124,126,130,133,135,137,107,70,61,52,104,200,195,194,194,196,195,194,197,178,153,124,95,147,145,138,129,128,128,126,116,108,103,90,62,75,104,133,196,199,203,204,198,182,182,181,159,94,69,57,62,134,124,106,107,120,122,114,96,80,71,77,125,194,209,211,204,202,158,136,107,78,84,77,67,60,70,60,53,98,82,64,74,92,93,85,76,79,112,153,179,182,179,181,184,140,80,77,61,46,60,50,55,53,52,60,43,79,60,70,96,101,98,96,96,104,109,108,104,102,103,103,90,73,71,64,67,43,52,51,47,49,47,50,44
10,118,128,143,150,155,161,165,168,172,174,177,180,181,182,184,187,192,192,193,194,195,199,200,201,201,201,204,205,119,130,144,151,156,162,165,168,174,176,178,181,183,184,185,189,170,190,195,196,199,201,200,201,203,204,205,206,122,132,146,152,156,164,166,169,175,178,179,181,185,186,192,206,140,169,202,196,200,202,203,204,206,207,207,207,124,136,149,154,159,164,168,172,176,178,180,182,187,187,199,213,147,147,203,197,201,203,204,206,206,208,209,209,126,137,149,156,160,164,169,174,177,180,182,185,188,187,198,212,160,135,202,198,204,206,206,207,209,210,211,211,126,139,153,157,160,166,171,174,176,180,182,183,190,192,193,212,177,133,197,203,204,207,208,208,210,212,212,213,127,140,153,157,162,169,172,174,178,181,181,197,169,173,197,219,195,135,183,208,203,206,207,208,211,212,212,214,129,142,153,159,165,170,173,176,179,181,183,205,167,118,194,216,201,143,160,213,204,207,208,210,212,213,214,215,132,146,154,159,165,170,174,180,186,184,196,191,163,99,170,214,195,145,146,214,206,209,209,213,213,214,215,215,133,147,156,160,163,178,174,163,158,158,182,208,177,125,138,219,178,143,135,213,208,210,210,213,215,215,216,217,133,147,156,161,161,187,158,116,100,99,102,184,200,145,105,199,155,142,125,209,209,212,213,215,217,217,217,218,136,150,156,162,166,168,143,111,89,108,106,136,203,164,104,172,131,137,118,202,212,213,215,216,217,219,219,219,137,149,156,160,167,172,172,165,153,126,105,117,201,180,116,134,110,131,110,192,217,213,216,217,218,220,220,220,137,150,156,163,168,175,174,205,220,146,82,140,213,188,128,93,105,127,114,176,221,215,217,217,218,219,219,220,140,152,156,164,171,173,172,207,212,152,75,131,232,186,143,90,102,126,114,155,225,215,218,217,219,220,220,220,140,152,158,165,167,187,201,202,222,164,63,139,247,184,150,99,101,121,113,135,224,217,218,219,221,222,222,222,143,154,158,166,162,201,223,197,212,162,68,189,229,186,142,100,89,114,107,117,224,217,219,220,220,223,223,224,143,155,159,166,167,183,221,191,200,156,155,240,201,189,142,102,93,109,96,135,227,215,219,220,222,222,223,224,143,154,159,164,170,174,191,168,180,183,227,235,198,181,150,108,97,105,88,182,225,217,220,221,223,223,223,224,144,154,158,164,170,173,190,163,182,228,244,229,201,171,146,114,98,93,103,214,218,218,221,222,223,224,225,225,147,156,159,163,171,172,204,207,175,216,245,219,194,168,144,115,99,82,138,227,216,219,221,222,224,223,224,225,148,155,159,164,173,169,216,227,175,189,244,218,195,164,145,117,99,80,177,225,216,219,220,223,224,224,224,225,148,155,161,167,174,171,223,232,197,215,236,215,196,165,145,122,95,96,211,217,217,220,222,224,223,224,225,226,147,154,160,166,173,173,232,243,207,220,233,216,198,167,147,125,85,136,227,215,218,221,223,225,224,224,225,226,148,154,160,167,174,171,230,238,216,220,223,222,210,171,146,123,83,178,223,216,219,220,222,224,225,226,226,227,149,153,160,167,173,171,223,229,207,221,218,223,217,176,144,115,97,210,217,217,220,220,222,224,225,226,227,227,149,153,160,168,173,174,210,213,208,221,220,223,214,173,142,101,134,225,215,218,220,222,225,225,226,225,226,227,149,155,162,168,173,177,197,210,221,230,217,218,208,169,137,96,178,223,215,218,221,223,225,225,226,226,227,228
23,184,184,184,185,186,186,186,186,186,186,187,187,187,187,187,187,187,186,186,186,186,185,184,184,184,183,182,180,186,187,187,188,188,188,189,190,189,190,190,189,189,189,189,188,189,190,189,189,188,187,187,186,185,185,184,182,189,190,190,192,191,192,193,193,193,193,192,192,192,191,190,194,194,192,192,191,191,190,189,189,188,187,186,185,192,192,193,195,194,194,195,196,196,195,201,193,195,198,195,172,188,200,194,193,194,193,191,191,191,189,189,188,195,196,196,197,197,197,198,200,196,201,225,205,196,210,199,173,148,186,202,196,196,195,194,194,193,192,191,191,198,198,198,199,200,199,201,202,198,216,216,192,144,158,151,170,171,157,175,201,198,198,197,196,196,195,194,193,200,201,201,202,201,202,203,203,204,223,209,181,132,183,190,177,156,141,150,205,200,200,200,199,198,197,197,195,202,203,203,203,204,205,205,203,213,212,212,166,176,212,179,202,198,188,200,206,203,202,202,202,201,200,199,198,204,205,205,206,207,207,209,207,215,209,212,217,221,203,143,175,221,209,208,207,207,206,203,203,203,202,202,201,206,208,208,208,209,204,195,199,202,209,211,209,205,197,143,132,195,211,208,208,208,208,207,206,204,203,203,203,209,210,209,211,208,191,171,179,187,189,186,185,181,170,143,99,109,191,216,209,210,208,208,209,208,207,205,204,209,211,210,210,212,206,203,194,199,193,183,178,164,123,117,100,93,173,222,211,213,211,210,210,210,209,208,207,211,212,213,210,209,214,212,205,188,152,149,154,152,113,115,99,104,204,217,213,214,214,213,213,211,210,209,208,213,214,215,213,201,203,217,204,151,130,97,135,162,114,116,99,134,224,215,217,216,215,214,214,213,212,211,209,215,215,217,216,201,198,221,201,140,102,88,156,166,118,112,87,149,229,216,218,217,216,216,216,215,214,212,211,215,216,218,218,201,196,223,206,159,107,107,146,125,111,101,90,135,226,218,219,218,218,218,217,217,215,214,214,218,218,220,219,199,198,230,210,159,124,90,86,83,90,96,102,129,225,220,219,219,219,219,218,218,217,216,215,219,218,220,218,194,208,233,209,162,136,99,81,94,99,106,106,146,230,221,220,221,220,220,218,218,219,218,217,219,221,222,218,195,210,225,210,169,140,122,106,118,117,118,109,156,233,221,223,221,221,221,220,220,220,219,219,221,224,224,223,199,203,213,198,161,141,132,113,122,122,121,110,175,234,222,224,223,222,222,221,221,220,219,219,223,224,225,226,202,196,200,186,165,161,138,116,122,122,122,115,208,232,225,225,225,225,224,224,222,221,220,219,224,224,226,228,207,199,199,185,170,161,134,119,123,128,115,144,234,227,227,226,226,226,225,225,224,223,222,220,224,225,226,228,211,210,198,183,163,146,129,122,125,126,120,210,234,228,228,227,227,226,226,225,225,224,223,222,225,226,227,226,215,220,203,188,172,147,126,120,121,122,201,237,230,229,229,230,229,228,227,226,225,225,224,223,226,226,229,224,216,220,201,191,177,141,119,119,110,181,243,230,232,230,231,230,230,229,229,227,227,226,225,224,226,228,231,226,215,204,192,181,161,124,114,115,123,226,233,233,232,231,231,231,230,230,230,229,229,226,225,225,227,229,230,223,215,193,182,178,171,121,118,113,150,238,232,234,233,231,233,232,232,231,231,230,229,228,227,226,227,229,229,221,223,196,180,191,192,127,121,113,163,244,233,234,233,233,233,232,232,232,231,230,230,230,227,220
6,189,189,189,189,190,189,189,189,188,188,189,188,187,186,183,183,182,181,180,179,177,175,174,173,172,170,168,165,193,193,193,194,193,193,193,192,192,192,192,190,189,187,186,185,184,183,182,181,180,178,176,175,174,172,171,168,195,196,196,195,195,196,196,195,194,194,195,194,193,191,189,188,188,186,185,184,183,180,179,178,178,175,173,171,197,198,197,197,197,197,197,198,197,196,197,195,195,195,193,191,190,189,187,186,184,184,182,180,180,178,175,173,200,200,200,200,200,201,201,199,199,199,199,200,197,196,195,194,193,191,190,188,187,186,185,183,181,181,178,177,201,201,202,202,201,202,202,202,201,202,201,200,200,199,197,196,195,194,193,191,189,188,188,186,184,182,180,179,203,203,204,204,203,204,204,204,203,204,203,202,201,201,200,198,197,196,195,194,192,190,188,188,186,184,182,180,204,205,205,206,207,207,207,206,206,206,205,205,204,202,200,200,199,199,200,199,198,195,194,193,189,185,186,183,206,206,207,207,208,208,208,208,208,208,208,209,208,209,207,205,203,196,189,183,177,178,174,162,163,174,169,184,208,207,207,207,208,209,209,209,212,211,206,198,192,190,180,170,161,159,138,133,142,149,141,132,168,204,159,166,208,209,209,210,209,209,210,213,199,172,153,150,146,152,152,149,145,143,135,130,147,129,130,126,126,142,131,174,210,211,210,211,210,213,208,190,173,159,138,140,147,151,157,150,142,115,110,98,95,98,114,117,124,148,176,191,212,212,212,213,216,199,176,172,171,154,121,100,112,111,103,102,104,98,108,137,167,183,192,197,202,202,196,191,212,213,214,217,193,166,169,170,163,150,130,93,69,45,142,198,204,204,206,213,211,206,203,201,196,196,194,194,213,215,217,192,164,168,173,171,173,173,159,110,65,57,87,125,159,206,210,206,206,203,202,202,201,199,197,196,217,213,189,173,175,178,181,179,177,177,133,77,59,62,58,52,45,88,211,209,208,207,205,203,202,200,198,196,201,175,171,182,181,180,183,169,166,160,97,60,53,57,66,69,69,47,159,220,207,208,207,204,202,201,199,196,171,171,183,185,181,180,172,158,165,161,134,107,61,42,53,58,63,36,107,222,207,208,207,205,203,202,200,197,175,177,181,185,186,178,162,163,168,168,172,136,75,53,54,47,55,114,194,213,208,208,208,206,204,202,201,199,177,179,185,188,179,165,158,161,158,159,155,106,61,56,58,55,62,218,219,210,211,209,208,207,205,203,201,200,179,181,183,176,166,160,159,157,149,142,133,94,50,43,54,49,72,210,213,211,211,209,208,206,204,203,202,201,179,176,164,159,164,162,155,148,135,132,142,129,72,45,48,61,192,217,211,209,209,208,207,205,202,199,199,198,167,156,152,159,155,142,132,127,131,143,158,144,79,59,58,62,213,215,212,209,207,207,207,204,207,210,206,196,159,156,157,148,135,126,129,133,138,139,142,106,61,50,38,102,218,212,211,210,213,211,211,215,192,161,126,91,154,152,143,132,131,130,128,116,107,100,86,51,66,102,137,213,216,221,222,215,196,196,195,168,90,60,45,51,139,127,104,106,121,124,114,92,73,63,69,127,210,228,231,222,220,167,140,106,70,78,69,58,48,61,49,40,94,75,54,66,87,89,79,68,72,112,161,193,196,193,195,198,146,73,69,49,32,49,37,43,41,39,49,28,72,48,60,92,98,94,92,93,102,108,107,101,99,101,100,85,65,62,54,58,28,39,38,33,35,33,36,29
16,141,146,150,152,156,161,166,170,174,178,182,185,188,190,192,194,196,197,199,201,202,204,205,206,206,206,206,207,142,147,150,152,157,162,167,171,175,179,183,186,189,191,193,195,197,199,201,203,204,206,207,207,207,207,208,208,144,148,151,154,158,163,168,172,176,181,185,188,191,193,195,197,199,201,202,204,206,207,208,209,209,209,210,210,145,149,152,155,159,164,170,174,178,183,186,189,192,195,197,199,201,203,204,206,207,208,209,210,211,212,212,213,146,150,153,156,161,166,171,176,180,184,187,190,193,196,199,200,202,204,206,207,208,208,210,211,212,214,214,214,148,152,155,158,163,168,173,178,182,186,191,201,201,203,209,201,198,203,207,208,209,210,211,212,214,215,216,216,150,154,157,159,164,169,174,179,184,192,208,229,227,230,229,206,184,181,195,206,211,212,213,214,215,217,218,217,151,155,158,161,166,171,176,181,189,219,239,248,247,245,232,205,175,152,151,172,194,209,214,216,217,218,219,219,152,156,158,161,167,172,177,187,211,242,251,252,247,237,219,191,160,142,127,128,144,172,201,215,218,219,220,220,153,157,159,163,169,174,180,206,240,251,252,249,235,217,197,168,147,139,126,124,122,128,155,196,217,221,221,222,153,157,160,163,169,175,182,220,247,251,249,239,218,190,165,143,135,134,128,130,124,119,122,148,198,221,222,222,153,157,160,164,170,176,186,228,250,249,236,219,194,161,136,123,117,131,133,135,128,122,117,120,154,208,222,223,155,159,162,166,172,178,188,232,252,241,216,189,159,131,109,89,90,128,136,137,131,124,119,117,121,152,196,222,157,161,163,167,173,179,187,230,252,240,207,163,127,98,63,48,76,126,137,139,131,123,120,117,98,76,133,214,158,162,164,168,174,179,186,224,251,240,199,144,108,71,36,36,74,124,143,143,129,122,119,106,70,54,130,218,159,162,164,168,174,180,185,214,248,234,183,128,97,69,47,55,78,119,153,141,127,120,110,77,48,56,158,226,159,162,165,168,174,181,186,207,241,219,163,121,106,96,81,84,94,135,165,134,122,111,79,45,41,64,180,230,160,163,165,169,175,181,187,207,234,197,144,124,120,114,106,100,116,172,169,129,112,79,39,35,39,75,196,231,161,164,166,170,177,183,188,215,230,179,141,128,119,118,115,111,161,199,164,124,86,45,33,38,37,89,208,233,162,165,166,171,178,184,189,220,224,164,151,121,94,99,101,126,207,213,163,111,66,42,39,35,37,111,219,234,163,165,167,172,178,184,192,225,207,152,163,121,94,95,93,137,225,224,170,97,56,41,34,33,44,141,228,235,162,164,167,172,178,184,197,218,177,157,174,125,109,110,104,132,216,225,175,89,48,37,32,34,50,159,232,235,161,163,166,171,178,184,193,191,168,184,175,126,119,121,116,121,179,208,168,83,39,33,34,37,54,161,232,235,162,164,167,172,179,185,189,190,192,199,170,127,124,126,119,101,109,140,116,57,33,33,36,39,57,165,233,235,163,165,167,172,179,185,190,194,198,200,165,127,123,119,99,70,52,55,51,39,36,37,38,39,56,163,234,236,163,165,168,173,179,185,190,196,200,200,161,123,114,102,72,48,43,44,45,45,43,42,39,39,48,140,231,237,164,166,169,173,180,186,192,197,201,200,162,124,106,88,62,50,53,55,56,55,50,46,41,40,47,138,231,238,163,166,169,173,180,186,192,197,201,195,154,124,107,89,68,59,62,63,63,60,54,49,44,42,50,148,233,238
8,91,100,105,111,118,123,126,130,133,137,141,143,144,145,147,148,148,149,149,149,150,150,149,149,149,148,148,147,95,103,109,116,122,128,132,133,141,143,145,148,149,150,151,151,151,152,152,152,152,151,151,151,150,148,149,148,101,109,113,121,129,134,137,159,129,147,152,153,155,156,157,156,155,156,159,157,156,156,155,154,153,152,151,150,104,114,117,125,134,138,145,185,99,132,164,159,161,162,162,163,162,162,163,162,161,160,159,159,157,157,156,154,108,117,121,129,137,142,154,200,95,117,173,165,168,169,169,169,170,168,167,167,170,168,164,165,163,163,162,160,113,120,125,133,143,145,159,209,94,115,180,170,173,175,177,174,173,176,178,177,161,166,174,170,169,169,168,165,117,124,129,138,147,150,161,205,102,114,185,176,178,176,174,183,197,134,133,207,158,105,167,179,175,175,174,170,121,126,134,142,150,156,166,213,118,105,188,179,191,197,131,165,210,144,93,166,173,112,113,187,180,181,179,176,124,130,139,148,156,161,171,215,142,111,181,184,220,232,200,186,160,153,166,192,130,82,83,168,189,184,183,182,126,133,142,153,161,165,171,216,172,145,171,207,219,220,225,174,157,162,172,173,137,83,41,141,200,186,187,186,131,137,146,156,165,171,172,210,181,170,196,212,183,157,232,180,150,164,140,125,152,110,44,153,202,190,190,189,134,140,150,160,167,176,175,206,203,178,200,208,188,123,167,204,114,86,79,136,173,127,72,177,202,196,194,192,137,143,153,164,172,179,179,206,225,154,187,179,168,147,131,194,124,49,34,183,196,152,82,136,212,197,198,196,141,146,156,167,174,181,182,205,235,150,132,173,127,130,126,168,152,102,40,154,223,175,104,75,201,205,201,199,142,148,160,170,176,184,187,202,232,188,104,131,133,115,137,163,170,105,152,217,204,177,117,56,163,216,203,204,143,150,164,173,181,187,191,202,240,213,139,98,152,121,165,209,173,150,218,223,180,136,110,66,165,221,207,206,145,154,166,174,182,188,195,200,241,222,169,111,118,133,173,223,208,232,230,196,166,121,87,76,201,215,209,213,150,156,169,178,184,190,197,202,240,233,195,143,109,134,162,225,226,236,224,187,145,110,63,116,237,226,223,200,149,156,170,179,186,193,198,204,237,240,209,165,131,139,153,214,234,230,206,170,130,98,56,180,201,143,100,52,150,157,170,180,188,194,201,202,231,238,219,178,160,147,148,191,230,225,192,151,116,87,59,81,41,20,23,30,151,159,172,183,189,196,202,204,223,232,226,192,176,168,134,172,207,216,183,136,109,79,42,12,20,23,18,33,152,161,174,184,192,197,204,208,212,229,228,205,184,180,130,165,183,204,169,126,97,72,28,11,14,30,10,18,152,161,175,185,191,197,204,210,206,220,224,208,190,173,131,133,176,174,154,110,87,52,27,13,0,22,26,9,150,160,174,184,190,196,202,209,210,205,223,210,192,165,133,109,158,155,135,102,80,20,6,30,0,3,27,18,152,163,175,184,191,196,202,208,215,203,230,224,195,166,135,107,130,148,119,94,63,0,0,21,21,0,12,23,153,164,177,185,191,198,203,209,214,206,226,219,186,157,136,109,116,129,111,80,46,9,0,0,26,11,0,19,153,163,177,185,193,198,203,208,215,196,230,196,163,164,146,117,107,115,112,66,21,28,0,0,16,25,2,5,149,159,170,178,186,194,201,209,206,157,243,199,177,184,157,119,101,107,107,48,0,28,0,0,3,25,14,4
19,148,152,156,161,165,169,172,174,177,179,180,183,184,185,185,185,187,187,185,185,185,183,183,183,182,181,181,181,150,155,158,162,166,170,173,175,178,180,182,184,185,185,186,188,188,186,185,185,186,186,185,185,183,183,182,182,151,155,161,165,168,172,174,177,179,181,184,185,185,186,188,188,189,189,188,187,187,187,186,187,186,186,185,183,151,156,162,166,171,173,176,177,180,182,184,186,187,190,189,188,189,189,190,189,189,188,188,187,187,187,187,185,153,157,162,167,171,174,176,179,180,184,185,187,189,188,191,193,190,190,192,192,190,190,189,188,188,187,187,186,153,157,162,167,173,176,179,181,182,186,186,186,195,185,135,174,195,191,193,193,191,191,190,190,190,188,187,186,154,159,164,170,174,178,180,181,184,186,189,185,207,193,113,113,200,192,194,193,192,193,192,191,190,189,188,188,156,160,165,171,175,178,181,184,186,186,190,188,214,201,130,86,186,198,194,193,192,194,194,193,192,191,190,189,157,161,167,172,176,180,180,182,188,191,192,187,208,186,131,77,166,203,194,195,195,196,194,190,190,193,191,190,158,161,168,173,177,178,186,189,154,139,160,171,159,149,135,119,132,153,161,153,149,161,139,172,194,175,194,192,158,162,168,173,179,178,199,183,139,136,141,150,158,153,148,138,130,142,165,149,145,153,140,195,203,137,195,193,159,164,171,176,177,190,200,186,154,106,103,106,136,139,142,125,121,125,134,133,130,127,128,146,143,154,200,192,160,166,171,176,179,202,212,195,147,89,79,89,90,91,95,87,85,100,113,117,117,125,133,148,175,197,194,194,160,166,172,174,198,210,213,176,134,101,85,96,99,92,59,100,178,193,197,196,199,205,204,204,203,196,194,195,161,168,169,190,215,212,216,192,144,97,82,82,105,105,82,75,172,212,201,203,203,201,201,199,199,199,197,196,163,166,176,212,212,214,224,203,144,91,78,72,88,110,100,77,66,196,206,203,204,205,202,201,201,200,199,198,165,165,200,215,214,221,221,200,145,94,78,88,84,78,79,94,62,171,214,203,205,206,204,203,202,200,200,199,159,181,217,214,216,218,215,199,156,102,76,73,98,91,68,56,81,204,208,206,206,206,206,205,203,201,201,200,165,209,215,214,216,213,215,210,174,103,79,66,84,97,89,48,143,221,203,207,207,207,206,205,204,203,201,201,201,219,213,215,210,210,217,201,153,108,88,81,76,72,89,63,184,215,207,207,207,208,207,206,205,203,203,202,221,208,214,208,198,197,194,173,132,118,110,97,90,73,56,88,208,210,208,209,208,208,208,207,206,205,203,202,210,207,205,198,195,191,180,166,144,122,108,106,98,85,52,164,222,208,209,210,210,209,209,208,207,206,205,203,203,199,201,195,193,192,181,163,166,144,103,93,100,92,63,183,220,210,210,210,210,210,209,208,207,207,207,206,198,199,199,187,188,188,173,152,154,129,72,69,98,75,114,220,210,212,211,210,210,210,210,209,207,207,207,205,197,203,188,177,175,171,152,127,111,88,50,63,87,80,191,215,209,210,209,209,209,209,210,209,208,206,206,205,199,197,177,154,151,151,123,94,87,74,69,85,114,182,214,207,209,210,209,209,209,209,209,208,208,207,206,206,186,182,169,140,116,116,101,82,76,172,187,193,211,214,208,210,210,211,212,211,210,209,210,208,208,208,207,206,161,170,165,126,82,61,61,42,130,217,208,210,208,209,210,211,213,213,212,212,212,210,210,209,209,208,207,206
14,171,173,172,173,174,175,176,176,176,176,176,175,175,176,177,175,177,176,177,176,176,176,175,175,175,173,173,174,172,173,174,175,176,176,176,177,179,177,176,176,184,175,173,179,178,176,178,177,177,178,178,177,177,175,175,174,173,174,175,176,176,178,179,181,179,178,189,190,183,140,139,188,179,180,180,179,179,179,179,179,179,177,176,176,174,176,177,178,178,179,180,178,179,204,195,162,133,117,107,156,176,175,180,179,180,180,180,178,178,178,178,176,176,177,178,180,180,180,177,184,210,206,147,110,108,102,112,141,164,133,142,185,180,181,181,181,179,179,179,179,176,177,179,180,180,178,185,220,205,166,121,99,112,96,104,128,140,109,147,188,181,183,183,182,181,181,181,180,179,180,181,181,181,176,212,220,166,118,98,99,103,92,96,100,116,105,154,186,186,184,185,185,184,183,182,181,180,181,181,182,183,180,221,216,146,92,79,82,93,110,119,101,128,154,148,136,170,188,185,186,185,184,183,182,181,181,182,184,182,191,225,206,143,100,88,91,85,97,102,86,97,136,142,106,169,192,185,187,187,185,184,183,181,181,183,186,182,200,225,188,122,92,96,107,83,91,99,106,108,113,105,102,168,185,189,187,187,186,185,186,184,184,185,187,181,210,225,193,136,95,97,108,94,103,114,122,114,102,123,130,132,124,181,192,187,188,187,187,185,185,187,188,184,220,225,202,155,116,97,93,104,108,87,99,107,137,137,128,123,136,149,185,192,190,188,188,186,187,189,186,193,225,224,200,153,122,104,90,113,106,129,167,183,198,191,176,155,175,139,179,195,191,191,190,186,186,189,186,200,225,225,201,153,119,108,95,107,97,180,203,193,191,195,186,162,171,138,187,194,191,191,190,186,188,191,188,203,225,225,207,164,126,103,102,92,128,200,191,193,193,198,173,157,168,135,190,194,192,191,191,188,189,192,188,205,225,225,210,170,134,103,97,97,187,198,194,195,194,200,169,157,169,126,178,198,193,192,193,188,191,194,189,207,225,225,212,174,137,109,86,121,203,193,197,197,195,204,160,144,163,131,150,203,193,195,194,190,192,195,189,208,225,225,212,178,142,116,81,155,212,196,200,196,202,179,151,160,159,134,141,203,194,195,196,192,194,194,189,210,225,225,214,180,142,122,86,123,180,192,191,202,188,138,155,165,154,125,176,202,196,196,196,192,193,195,191,212,225,225,214,177,145,129,103,84,99,115,120,145,140,139,155,157,136,155,206,197,197,197,197,193,193,197,193,217,225,225,213,176,157,142,113,95,105,108,123,130,132,140,152,142,135,197,202,198,199,199,198,193,195,198,194,220,225,225,212,181,170,150,125,99,113,124,133,138,141,134,139,125,180,206,200,201,199,199,198,195,198,198,195,221,225,225,214,191,178,151,128,110,116,130,134,137,139,136,114,151,209,200,203,201,201,201,200,196,198,199,199,223,225,225,217,202,180,152,130,117,113,129,133,133,136,126,127,199,204,203,203,202,202,202,203,198,199,199,202,225,225,225,220,206,180,149,125,117,113,126,131,129,128,124,193,206,202,204,204,203,202,202,203,197,199,198,203,225,224,224,220,203,169,129,112,111,112,125,125,132,114,171,212,202,205,204,204,204,203,203,203,200,203,203,217,225,225,225,213,187,140,101,102,102,109,117,123,120,140,209,205,206,205,206,205,204,204,204,204,188,175,158,161,160,144,139,122,108,93,79,77,86,104,111,112,130,201,207,206,208,206,208,207,205,206,205,204
0,170,172,174,175,176,177,177,175,175,176,176,175,175,174,174,174,172,172,172,172,170,169,169,166,167,166,165,164,172,172,175,177,177,179,179,179,177,177,177,177,178,176,176,174,173,172,172,173,172,170,170,168,168,166,165,165,173,173,175,178,178,179,180,179,179,178,178,178,179,177,176,174,172,175,174,173,172,171,171,169,168,168,167,167,174,175,177,178,179,181,181,181,180,179,179,179,177,179,177,191,173,150,171,177,173,175,172,171,170,169,167,168,175,177,178,179,179,181,181,182,183,182,180,178,189,174,177,217,181,142,118,160,147,157,176,168,171,169,169,168,177,179,179,180,180,181,181,184,183,181,178,192,211,184,180,219,185,145,114,171,146,109,140,117,151,175,170,170,177,180,181,181,183,183,184,182,184,195,164,203,211,188,178,224,196,133,161,196,141,86,109,93,147,177,171,171,178,181,183,183,184,185,187,179,204,227,182,199,220,185,162,218,201,133,134,174,126,83,116,97,162,175,171,171,181,182,184,185,185,186,186,183,212,241,210,175,228,192,140,185,181,129,98,148,107,106,144,95,158,176,171,173,182,183,184,185,185,188,184,193,202,228,222,156,203,180,119,145,165,126,95,146,102,145,164,99,142,181,172,174,184,185,186,186,186,188,184,201,194,195,192,138,171,162,105,100,169,119,90,155,110,176,171,102,146,182,174,175,183,186,186,187,188,189,183,211,210,183,176,121,146,164,102,80,174,130,93,100,155,196,158,97,158,182,175,175,184,186,187,187,189,188,191,219,182,148,171,137,117,180,112,87,160,180,180,122,168,189,137,96,171,179,177,175,186,187,187,188,188,188,200,227,194,153,137,145,116,164,123,139,195,203,186,163,136,155,126,106,181,178,179,176,186,188,189,190,191,189,202,231,199,169,144,137,172,177,192,205,202,190,167,151,137,117,113,109,183,178,179,177,187,190,192,192,193,188,212,237,205,187,174,158,179,208,216,216,203,184,162,143,129,108,95,116,186,178,179,179,187,191,192,193,194,189,220,236,211,199,183,168,192,219,226,227,205,179,162,139,119,102,90,157,186,181,181,179,189,192,192,193,195,191,222,231,212,195,179,172,196,221,229,226,206,178,154,130,111,92,115,188,183,181,180,180,188,190,192,192,195,190,219,233,214,196,178,169,192,216,219,211,198,172,144,118,102,91,163,188,182,181,181,179,188,189,193,193,195,190,206,229,210,195,183,173,195,208,201,188,170,152,134,112,94,151,190,183,183,183,181,179,188,190,193,193,196,191,203,218,197,199,192,174,192,201,188,166,145,138,120,103,155,191,185,185,184,183,181,179,192,192,194,194,197,193,204,217,200,201,189,175,186,199,179,147,129,123,102,156,193,186,188,186,184,183,182,180,191,192,193,195,196,194,209,232,216,194,179,178,176,186,160,127,119,100,148,195,188,187,189,188,185,184,183,180,191,192,194,192,204,188,185,247,224,193,180,181,164,173,142,115,100,129,195,189,190,188,188,187,186,186,186,181,189,192,195,190,212,250,171,195,215,187,182,173,159,163,124,99,89,173,194,188,188,189,186,186,186,182,169,159,193,194,198,192,217,255,238,136,227,213,200,188,168,159,126,99,93,183,195,195,192,183,189,192,173,151,157,150,146,147,145,139,234,250,255,142,145,228,210,196,172,153,135,124,111,124,136,128,132,176,197,185,166,115,176,162,100,101,88,129,255,246,255,163,99,221,200,183,162,146,129,117,114,106,87,104,176,205,185,163,175,104,150,178
2,179,179,181,183,182,183,184,184,184,184,182,182,180,180,180,180,178,177,176,172,173,172,169,167,165,163,161,160,181,183,183,185,185,186,186,187,186,185,185,183,185,187,186,185,184,184,183,181,173,173,171,169,168,166,164,162,184,185,187,187,187,188,188,188,188,187,187,188,174,162,167,165,155,148,139,156,185,174,171,171,169,168,166,164,186,187,187,188,189,189,189,189,190,189,190,178,152,144,149,148,135,111,89,76,133,179,178,173,172,170,167,166,188,189,189,190,191,192,192,191,193,193,182,153,152,157,145,148,153,103,95,109,111,114,146,175,173,172,170,167,189,190,191,193,193,194,194,194,195,195,184,170,159,139,123,122,110,52,59,89,100,64,59,167,178,173,170,168,191,190,193,195,195,197,197,198,198,191,183,174,152,120,92,72,86,130,153,121,95,69,115,181,176,175,171,169,192,193,195,195,196,199,199,200,194,171,169,151,111,55,28,87,200,197,195,196,188,182,188,181,177,175,173,171,194,195,197,197,198,199,201,201,191,167,152,106,54,34,23,146,205,189,190,187,187,187,182,181,179,177,174,172,193,195,198,199,199,200,202,202,189,168,111,49,30,18,71,200,195,195,192,190,188,185,185,189,186,179,176,174,195,196,199,200,201,202,204,198,191,165,103,32,30,12,128,211,194,197,194,191,189,191,182,150,141,173,179,175,196,198,200,201,203,204,204,194,190,156,96,32,41,28,122,212,195,197,196,193,192,184,119,81,67,124,186,174,197,198,200,203,204,206,203,194,186,146,71,38,51,30,136,213,198,199,196,197,191,127,94,96,73,119,189,175,198,200,202,204,205,206,202,197,185,137,76,59,49,29,164,211,198,200,198,199,135,90,102,86,73,169,183,179,198,202,203,204,206,207,198,197,184,143,89,64,45,27,111,221,203,198,207,153,70,80,92,61,124,195,181,181,199,202,203,204,206,210,198,194,181,140,93,64,43,43,44,106,184,212,159,97,72,72,66,68,188,186,184,181,201,202,206,206,205,209,197,191,172,137,103,62,43,45,52,46,77,118,75,78,91,66,57,162,194,186,186,182,202,205,207,207,209,208,195,191,173,138,95,59,42,44,50,61,66,57,61,77,68,69,173,200,187,189,186,182,201,205,206,208,210,208,190,197,187,133,95,66,41,47,53,57,68,72,63,69,64,178,202,189,190,189,186,183,204,205,206,208,209,204,189,205,181,127,93,67,43,47,55,58,67,75,64,39,158,209,191,192,190,189,187,184,204,207,208,210,211,200,193,203,168,118,92,71,44,47,59,64,68,72,47,121,209,196,195,194,192,189,188,186,204,207,208,210,214,197,195,195,159,113,94,72,44,49,63,68,73,53,71,210,200,198,197,196,194,190,188,186,206,207,209,210,212,194,197,184,147,116,97,70,44,49,67,64,64,31,157,214,200,200,198,197,195,193,190,189,205,207,210,212,212,193,188,167,136,111,89,66,43,49,65,63,31,102,217,203,203,202,199,197,195,194,190,189,205,207,209,211,209,193,178,162,133,107,86,63,44,51,62,33,81,210,207,205,203,201,200,197,195,193,190,188,205,207,209,211,206,191,167,153,122,99,79,61,46,43,27,88,208,214,206,206,205,203,201,198,196,194,191,188,205,207,210,210,207,185,164,149,119,94,73,57,33,50,148,215,213,208,208,207,205,204,202,198,196,195,192,188,204,207,209,206,203,180,160,143,121,90,67,45,29,170,231,209,209,211,208,207,204,202,201,198,196,193,191,188
8,125,130,137,141,143,146,150,154,157,158,159,160,161,163,162,163,163,163,164,164,164,164,163,162,161,161,160,160,127,133,141,145,147,160,153,153,160,162,162,163,164,165,165,165,165,165,165,165,166,165,164,162,162,161,160,160,131,138,145,149,151,181,148,129,165,167,168,168,169,169,169,169,169,169,169,168,167,168,167,166,165,164,161,161,135,142,149,153,156,196,145,113,171,173,174,174,175,175,174,174,174,175,174,173,172,172,170,170,169,167,165,163,138,146,153,158,161,209,146,113,177,179,180,180,181,180,180,180,180,180,179,177,177,176,175,175,174,171,169,167,142,149,157,162,166,208,142,116,182,184,185,186,186,186,188,178,176,188,183,158,176,181,181,180,178,175,174,173,147,155,161,166,171,213,153,117,186,189,190,192,166,179,211,167,127,173,197,141,135,184,186,186,183,180,179,177,151,158,164,170,176,217,159,127,185,193,207,223,171,157,206,181,142,154,179,153,119,168,191,191,189,186,184,182,155,163,170,175,180,219,183,155,179,199,228,233,220,196,175,173,180,198,154,107,113,141,195,195,193,191,189,187,159,167,174,179,183,215,191,180,192,214,216,215,225,183,173,179,186,185,155,107,83,118,198,198,196,196,193,191,162,170,178,183,187,213,202,191,208,214,195,167,222,189,169,169,157,154,168,124,80,131,201,201,200,198,197,196,165,172,180,186,190,213,218,186,203,207,197,163,181,197,136,113,109,158,181,141,96,165,205,205,203,201,200,199,168,176,183,188,193,216,225,163,185,184,166,161,160,195,137,84,80,197,199,160,111,153,209,208,207,204,202,202,172,180,186,191,196,217,227,172,141,172,147,145,152,185,163,112,97,184,217,178,123,106,205,212,210,207,206,204,173,182,188,193,198,216,234,193,132,143,157,140,168,189,174,129,188,212,216,183,129,93,180,216,214,211,209,208,177,184,190,195,201,215,243,207,151,126,161,144,198,213,192,180,230,220,189,158,123,98,181,219,217,215,213,211,179,186,192,199,205,216,245,217,173,132,142,155,195,224,227,235,227,202,176,136,113,105,208,222,220,217,215,212,181,189,195,201,206,219,246,230,191,151,137,158,188,229,236,238,221,187,154,125,98,141,222,223,220,204,164,117,182,190,197,203,208,219,246,236,202,170,151,163,178,228,238,230,206,173,142,111,91,186,197,159,121,83,60,55,184,192,198,204,209,218,242,236,212,183,172,160,176,213,235,222,190,157,130,103,83,103,72,59,58,60,57,53,185,194,200,205,209,215,234,236,222,194,189,166,165,194,226,214,180,145,121,93,66,50,46,48,45,57,61,50,186,194,200,206,211,214,224,235,227,202,194,174,152,189,208,202,170,135,113,85,54,44,39,53,41,46,58,58,186,194,201,207,212,216,216,230,224,208,192,169,138,181,184,188,154,123,101,66,51,42,31,46,50,40,46,55,185,194,200,205,211,216,211,226,226,209,188,162,137,152,175,165,140,114,90,38,36,51,33,35,51,45,37,44,187,194,201,206,210,216,213,225,234,215,188,162,138,135,163,152,130,105,75,27,20,43,48,31,40,48,40,38,188,195,201,206,211,216,214,224,227,208,179,162,137,131,144,142,119,91,60,41,12,29,49,41,30,45,46,37,188,195,202,207,211,216,206,225,222,184,181,166,143,129,132,137,113,69,44,51,17,17,41,48,34,35,44,41,183,191,198,204,210,216,160,228,224,190,196,175,149,125,126,131,104,46,30,52,27,9,31,48,42,35,36,43
17,193,196,199,200,202,205,205,206,207,207,208,208,207,206,205,205,206,204,202,202,200,200,199,196,194,192,190,188,194,198,201,204,206,206,207,208,210,210,210,210,210,210,209,208,209,207,206,206,203,202,201,199,197,195,192,189,198,203,204,206,209,209,210,210,212,213,213,214,214,213,212,211,210,209,210,209,207,205,203,201,200,197,195,193,200,204,207,208,211,212,212,213,214,215,215,217,217,217,216,211,216,215,208,213,209,209,207,204,202,200,198,196,203,207,209,211,212,214,215,215,216,218,218,219,218,219,214,226,228,182,171,219,211,211,209,208,204,202,201,199,205,209,211,213,215,217,218,219,218,219,220,220,220,221,215,235,255,153,139,223,213,214,212,211,208,206,203,202,208,211,213,216,217,219,221,221,223,222,222,222,223,223,222,223,255,192,148,224,215,216,215,213,211,209,207,206,211,213,218,219,219,220,222,225,225,225,225,227,226,226,225,225,255,235,164,221,219,218,216,215,213,212,211,209,212,217,219,221,223,224,225,226,227,227,227,228,230,227,226,235,255,255,169,208,226,220,220,218,217,215,213,211,216,218,220,224,226,227,228,228,229,231,232,230,229,230,224,251,255,255,172,193,232,223,222,220,219,218,216,214,217,221,224,227,228,228,229,231,232,231,230,231,255,255,216,217,255,255,180,181,235,224,225,222,220,219,218,215,219,223,225,228,230,230,233,233,233,236,241,232,255,255,245,190,218,252,196,173,235,227,226,226,224,221,221,218,221,224,227,230,232,233,235,235,232,255,255,236,214,255,255,255,255,193,160,165,235,229,229,227,226,223,222,220,223,226,229,231,233,234,236,235,241,255,255,253,195,213,192,255,255,216,137,144,235,233,231,229,227,227,225,222,225,227,232,233,234,235,239,238,246,255,187,211,236,148,121,153,255,255,164,120,226,237,232,232,229,228,227,225,226,229,232,234,236,238,241,238,252,255,206,192,181,151,150,122,255,255,205,114,200,243,232,233,231,230,228,226,229,232,233,237,238,241,244,239,255,255,253,208,179,179,189,167,241,255,233,133,190,246,234,236,234,230,229,228,232,233,234,238,241,243,244,240,255,255,218,188,192,211,216,228,255,255,243,153,186,250,237,237,238,242,240,228,231,233,237,239,241,242,243,241,255,255,238,212,208,232,226,255,255,255,228,159,184,253,238,243,227,187,177,146,232,234,236,239,241,241,243,241,255,255,255,225,208,236,250,255,255,255,212,152,190,251,241,233,144,123,121,115,232,234,237,239,242,243,245,245,254,255,255,247,216,241,255,255,255,252,203,144,185,249,247,182,119,127,122,121,232,237,239,241,244,245,247,248,253,255,255,255,238,238,255,255,255,244,197,132,190,255,193,119,107,93,85,70,232,237,241,243,246,248,248,249,250,255,255,255,255,246,255,255,255,236,195,124,180,184,118,106,97,75,73,56,235,238,242,244,246,249,249,250,248,255,255,255,255,250,244,255,245,234,182,128,122,119,118,107,89,62,59,62,228,233,238,242,244,247,248,251,249,255,255,255,255,237,226,244,231,234,177,122,102,114,110,114,103,67,48,52,150,153,157,160,157,158,162,166,164,191,255,255,247,217,213,220,232,223,162,113,76,95,97,94,116,91,50,42,127,131,133,129,129,129,128,127,125,151,255,251,220,203,206,217,230,200,130,103,84,59,87,76,102,111,65,39,140,142,142,138,143,145,144,142,150,97,245,248,214,203,215,212,205,167,99,33,64,54,63,68,80,109,83,45
2,108,111,116,121,124,126,128,132,135,136,139,141,143,145,145,149,145,152,153,155,158,157,156,159,158,158,160,160,109,113,118,122,125,127,130,133,135,137,140,142,145,144,149,147,92,122,145,152,113,137,166,157,160,160,160,160,109,112,120,123,126,128,131,133,137,139,140,142,140,149,150,113,60,72,129,129,71,92,149,159,159,161,161,161,110,114,121,123,127,129,133,136,139,141,140,145,155,148,109,70,48,63,94,95,86,88,73,148,162,160,161,161,112,116,121,125,128,130,134,138,141,142,144,167,163,117,60,50,53,65,63,82,93,93,46,101,170,160,161,162,113,117,121,126,130,133,135,139,142,140,162,171,132,78,36,36,48,67,63,83,84,76,69,142,168,163,164,164,116,118,123,127,131,134,136,140,139,151,177,129,77,41,30,20,46,81,94,77,101,118,150,169,165,167,166,166,115,118,124,128,132,134,138,140,137,173,157,87,45,41,41,38,70,75,78,134,169,168,169,165,167,168,167,168,115,120,124,128,133,136,140,135,162,171,121,73,39,42,42,56,53,89,148,169,164,164,166,167,168,168,168,168,116,119,125,130,133,138,137,145,177,140,87,39,33,34,50,61,79,173,166,164,166,166,168,169,170,170,169,169,116,121,125,130,136,139,137,176,166,114,67,43,47,35,55,53,125,169,162,166,167,168,169,170,170,170,171,170,119,124,127,132,139,135,164,195,159,106,70,55,53,47,44,82,165,164,165,167,168,169,170,171,170,171,174,173,120,124,129,133,137,134,194,182,138,96,60,52,49,55,55,146,169,164,167,168,169,170,172,174,173,174,175,174,120,125,129,135,135,153,207,171,125,84,55,49,47,50,87,171,165,167,168,168,169,171,173,172,173,175,175,175,121,126,129,136,132,185,198,157,115,72,50,49,52,49,128,170,165,169,169,169,171,174,174,177,178,176,177,175,121,127,133,133,147,207,184,146,108,68,49,50,50,40,147,170,166,169,169,171,172,175,176,161,141,128,145,180,121,127,134,129,183,206,172,133,97,60,46,51,52,42,96,175,168,167,169,174,180,169,143,133,127,92,105,183,122,128,130,143,207,187,157,127,92,59,45,48,52,63,58,112,169,173,175,172,151,140,140,128,101,122,173,178,122,130,123,176,205,174,150,116,84,55,43,48,58,70,83,71,87,131,140,132,121,130,143,92,133,187,178,178,123,126,132,204,191,173,140,105,80,57,39,53,68,84,97,95,82,106,120,139,145,136,104,94,182,176,177,179,124,120,168,205,177,161,129,107,84,57,40,69,91,108,115,108,101,120,135,134,121,108,112,162,182,179,178,178,122,129,199,187,176,157,129,111,85,58,48,88,108,113,121,118,104,117,116,100,125,160,180,180,179,180,178,179,115,162,205,181,174,155,127,108,84,59,55,100,111,111,120,123,84,81,117,159,182,181,178,177,178,180,180,181,123,200,193,177,170,148,119,102,83,60,61,106,109,104,121,94,93,144,177,177,176,177,179,178,180,180,180,181,166,204,178,173,167,133,101,88,71,55,76,98,109,103,97,119,173,180,175,175,176,177,177,178,181,180,180,181,197,185,170,158,151,121,95,80,65,64,80,86,102,89,134,175,171,172,176,176,177,177,177,179,182,181,180,181,184,175,162,146,150,104,82,78,68,74,60,77,121,153,174,170,172,175,176,176,178,178,178,180,180,181,180,181,178,171,155,139,152,96,70,79,78,65,88,148,165,171,169,172,170,173,176,176,178,178,178,180,182,182,180,181
18,156,159,160,161,162,164,166,167,167,168,169,171,172,172,173,175,175,175,176,177,177,177,178,177,176,176,176,176,157,159,161,162,163,165,166,167,169,169,170,171,172,173,174,176,177,176,176,177,178,178,179,179,178,178,177,177,158,160,162,164,165,166,167,168,169,170,171,171,172,173,174,176,177,177,176,177,176,177,180,180,179,178,177,177,159,160,163,164,166,167,167,169,170,171,172,172,174,174,175,167,161,176,177,179,179,179,180,180,179,180,179,179,159,161,165,164,165,167,168,169,170,172,173,174,175,175,183,161,127,150,177,179,177,178,178,179,179,180,180,180,159,161,164,165,165,166,169,170,170,173,175,167,158,172,175,169,126,96,156,174,162,154,172,180,180,181,180,180,159,160,163,165,166,167,170,171,171,176,185,168,142,135,180,163,134,104,112,140,139,129,127,182,181,181,180,180,160,161,164,165,166,167,170,168,165,185,185,168,143,122,193,176,159,128,101,105,122,118,94,169,181,182,181,180,160,162,164,166,166,167,181,168,140,167,185,164,142,138,189,193,175,138,102,89,109,106,88,146,183,183,182,181,161,163,165,166,167,178,195,168,137,156,184,163,134,154,180,191,174,138,99,79,92,98,83,146,183,182,182,182,162,163,165,166,167,184,197,171,137,145,185,165,124,165,180,189,171,135,96,72,81,88,82,160,183,183,183,183,163,165,165,167,168,179,190,171,140,134,183,161,113,137,166,193,168,130,93,70,75,78,91,174,184,183,184,183,163,165,166,166,173,185,175,168,143,118,166,148,107,81,143,194,163,125,89,70,69,75,109,185,184,184,184,185,162,165,167,169,180,172,156,146,131,91,127,122,92,53,160,194,161,120,85,72,72,80,125,185,183,185,185,186,164,164,166,176,188,164,146,122,107,79,102,109,79,85,193,187,156,121,88,68,72,78,141,186,185,186,186,186,164,166,167,179,194,170,149,128,121,84,102,116,134,179,199,180,150,120,90,77,78,85,170,186,186,187,187,187,165,166,166,189,192,170,151,132,124,106,118,162,200,189,180,171,144,113,87,77,75,105,185,185,186,186,186,185,166,166,167,201,188,169,151,136,133,135,154,206,206,185,163,155,134,104,84,81,87,157,185,185,184,185,185,183,166,167,174,204,185,169,159,144,142,141,193,212,201,177,148,144,126,94,85,85,143,184,186,186,185,185,185,184,166,167,181,203,185,176,166,145,152,174,209,207,190,167,141,133,115,88,84,121,183,186,186,186,187,186,186,185,166,168,183,204,188,180,171,149,167,197,202,198,183,156,134,122,105,85,94,173,186,186,186,186,187,187,186,186,167,168,179,201,190,183,172,157,175,199,194,181,176,146,127,113,96,82,141,185,187,187,186,187,187,187,187,186,167,168,178,201,191,182,171,167,174,196,181,176,158,140,117,105,90,97,180,185,187,187,187,188,188,187,186,187,168,167,180,197,185,175,168,171,173,187,171,170,146,135,108,96,81,134,187,187,187,188,188,188,189,188,186,186,167,167,185,184,174,170,165,170,175,177,161,167,153,122,102,91,83,168,186,187,187,187,188,188,189,188,187,186,167,166,188,171,166,167,165,168,176,171,160,166,150,116,96,86,116,186,185,187,188,187,187,188,188,187,187,187,167,166,196,181,174,174,176,175,180,165,157,157,138,109,92,91,169,186,188,189,188,188,188,189,189,188,187,188,166,169,202,189,176,177,182,179,182,151,150,145,124,101,85,145,186,188,187,188,188,189,189,189,189,189,188,188
8,179,183,186,189,190,193,195,196,197,198,200,201,201,202,202,202,201,201,201,200,199,199,199,197,196,196,195,194,181,185,188,189,191,194,195,198,199,201,202,202,203,204,204,203,203,202,203,202,202,201,200,200,199,198,196,196,182,186,189,191,193,195,197,200,200,202,203,204,204,205,205,205,205,204,204,204,204,202,201,201,200,199,199,198,182,187,189,193,196,197,198,201,204,204,205,206,207,207,206,206,206,206,206,206,206,204,204,202,201,200,201,200,185,188,191,194,197,197,206,191,188,209,206,207,207,207,207,207,208,207,207,207,207,206,205,204,203,203,202,201,185,190,193,195,198,198,216,187,151,207,208,209,209,209,209,209,209,209,209,208,208,207,206,207,206,205,204,202,187,191,195,196,199,197,215,196,138,194,212,209,210,211,210,211,211,211,210,209,209,207,207,207,207,206,204,203,187,190,194,197,200,199,212,211,137,181,216,210,213,212,211,213,213,211,211,211,211,211,209,208,207,207,206,207,189,191,195,199,201,202,207,209,142,166,219,211,213,214,216,213,213,213,216,212,211,211,211,210,209,208,207,207,190,193,196,199,202,205,205,220,174,151,216,214,212,199,194,216,213,188,185,218,215,216,211,212,211,210,208,207,190,194,197,200,202,205,205,223,190,137,202,216,227,212,173,190,230,192,147,182,189,188,214,212,212,212,210,209,191,194,197,201,202,207,206,219,197,154,175,220,240,237,195,150,223,201,194,154,154,148,168,220,211,212,212,211,193,195,199,202,204,208,208,216,220,183,167,210,235,243,215,147,187,204,201,190,170,168,142,200,216,211,212,211,193,197,200,202,206,210,211,212,225,181,176,203,208,234,218,157,158,199,171,209,210,212,199,147,198,217,211,211,195,199,201,204,207,210,212,212,222,207,195,219,209,210,219,162,136,183,133,183,207,212,205,144,173,224,212,214,196,199,202,206,208,211,213,212,229,236,192,191,204,190,218,180,133,156,136,145,188,214,204,147,168,225,213,214,197,200,204,207,209,212,214,212,229,218,169,172,182,166,200,225,161,132,131,141,206,227,214,148,164,226,213,215,197,201,205,207,209,211,215,214,226,227,190,171,165,160,176,191,154,144,125,147,212,231,214,150,165,226,215,217,197,201,205,208,210,212,215,215,230,241,208,175,164,167,154,182,192,156,141,189,213,233,206,147,153,226,216,218,198,202,206,209,211,212,216,214,234,238,210,185,159,151,158,208,216,195,204,221,208,210,182,140,139,223,218,218,199,203,207,209,212,213,217,215,236,238,215,199,177,151,161,203,222,239,232,216,197,178,161,128,158,226,217,218,200,204,207,209,213,215,218,216,238,238,217,205,190,161,156,199,239,242,235,213,186,156,141,120,203,223,218,218,200,204,208,211,214,217,218,216,236,239,223,207,199,173,168,206,244,238,222,203,175,144,115,158,228,219,220,219,200,204,208,211,212,215,218,218,230,241,229,215,208,183,171,219,239,224,203,184,159,131,119,211,224,222,221,219,199,203,206,209,211,214,218,218,225,240,232,218,211,191,173,219,229,208,189,166,147,115,163,229,219,221,220,218,199,203,207,210,212,215,218,218,223,241,236,220,206,183,171,210,211,197,183,157,132,121,217,224,222,220,220,219,200,203,207,211,213,215,218,219,224,243,230,212,193,167,173,204,189,178,173,153,111,177,231,221,222,221,221,220,201,205,208,211,213,215,218,216,225,244,223,208,181,174,180,196,180,166,162,133,137,227,223,222,223,222,222,220
6,165,164,165,166,167,167,168,168,168,168,169,169,168,168,166,166,166,167,166,165,165,164,164,162,161,162,160,159,164,166,166,168,168,169,170,170,170,170,170,170,170,170,168,167,167,167,166,167,165,165,165,165,162,162,163,162,166,168,169,169,169,170,171,170,171,170,170,170,170,170,169,168,168,168,167,167,166,166,166,165,164,163,163,162,167,168,170,169,170,171,170,171,172,171,172,171,170,170,170,170,170,169,168,168,166,167,166,167,165,163,164,162,168,170,171,170,171,173,173,174,174,173,173,173,172,172,171,171,169,170,170,169,169,169,167,162,161,169,162,162,169,170,171,171,172,173,174,174,174,174,173,172,173,173,172,172,173,173,171,168,165,157,155,137,166,190,150,155,170,171,171,173,175,175,175,175,175,175,176,176,174,173,170,167,160,153,156,160,157,149,150,138,152,163,129,156,172,172,173,174,177,178,177,176,175,175,172,170,170,166,154,147,129,135,141,156,147,137,120,110,107,121,150,168,172,173,175,176,177,179,179,178,177,171,148,146,136,143,155,148,140,118,126,123,108,96,99,117,138,161,169,166,174,176,176,177,178,180,180,177,173,165,154,155,128,92,116,115,102,85,93,100,121,139,164,175,174,171,168,167,176,177,177,180,180,180,177,162,164,166,168,158,117,80,68,67,71,94,132,167,178,178,173,171,171,170,169,169,178,179,179,181,178,173,169,162,157,161,167,144,102,78,70,75,140,167,181,179,176,175,174,174,173,171,170,170,179,179,178,176,172,168,165,160,151,158,157,150,135,90,72,73,164,185,174,178,178,177,177,175,173,171,171,172,179,177,176,173,169,161,160,158,153,155,158,162,147,101,75,70,82,181,179,179,178,177,177,176,175,173,173,172,175,176,178,172,164,160,160,160,156,157,159,156,145,108,73,77,65,127,191,179,179,179,177,176,176,175,175,173,184,185,180,171,165,160,158,160,157,153,157,158,154,130,79,70,74,74,173,184,180,180,178,177,176,176,175,174,190,187,175,167,169,161,158,158,160,161,163,163,156,127,84,71,70,65,169,186,181,181,180,179,178,177,177,175,186,178,171,172,167,161,158,157,157,151,149,146,135,112,89,76,62,118,193,181,182,181,181,180,179,178,177,176,188,175,167,169,159,157,161,155,151,141,135,133,121,104,93,85,62,116,196,182,184,182,182,181,180,181,179,177,190,182,165,154,154,159,161,158,149,141,134,134,123,99,92,93,78,69,176,189,185,183,182,181,180,181,180,177,176,178,157,143,146,154,154,152,142,132,118,114,98,86,88,98,80,68,176,190,186,185,183,181,181,181,180,179,87,132,136,127,135,144,143,135,123,112,102,91,63,72,89,94,73,140,194,187,187,186,184,183,182,183,182,181,53,62,96,110,119,130,125,113,97,86,78,74,67,80,90,97,157,195,188,188,188,186,186,184,183,183,182,181,56,55,52,61,73,90,99,93,100,122,143,118,102,105,137,178,195,189,189,188,188,187,186,185,185,183,182,181,51,53,52,34,31,40,44,50,176,200,199,197,191,192,197,194,192,191,190,189,188,189,188,187,186,185,182,181,48,47,55,47,28,35,21,94,202,192,193,193,193,193,191,191,192,190,189,191,189,188,188,187,185,184,183,182,46,44,51,51,29,32,27,165,202,192,195,194,193,193,192,192,191,191,190,190,189,188,187,187,186,184,183,182,43,42,52,52,32,22,79,202,192,194,194,194,194,194,193,193,192,192,191,191,189,189,188,187,186,185,184,182
22,96,101,104,108,113,117,122,125,127,130,131,132,133,134,135,135,134,133,133,133,132,132,131,130,129,129,128,126,97,103,106,109,115,120,123,125,127,130,132,133,135,136,136,137,136,135,135,134,133,133,131,132,131,131,129,128,99,105,107,110,116,122,124,126,129,130,132,135,136,136,136,134,137,137,135,136,135,133,134,132,132,131,130,129,100,105,107,112,118,122,125,128,129,130,134,136,136,138,137,167,104,127,139,135,141,141,120,135,133,132,131,130,101,106,109,112,119,124,127,129,133,171,103,130,140,138,143,179,88,115,144,132,160,137,92,139,133,133,132,132,103,106,108,114,120,125,128,130,136,181,97,123,144,137,148,170,93,115,145,134,167,116,95,141,134,134,133,133,104,108,109,115,121,126,129,132,132,176,115,113,147,137,153,175,102,117,145,143,167,105,99,144,135,136,135,133,104,109,112,117,123,127,131,134,131,184,142,106,148,139,157,175,106,120,144,156,175,100,112,144,137,137,137,135,105,110,113,118,124,128,131,136,130,179,165,104,145,141,160,167,106,118,145,173,169,97,123,144,138,139,138,136,105,111,114,119,124,129,133,138,132,173,178,102,136,143,164,171,109,114,152,183,150,87,131,144,140,139,139,137,107,112,115,120,125,131,135,139,134,162,195,130,122,146,169,177,111,115,172,184,129,83,141,144,141,141,139,138,108,113,116,122,127,132,137,136,151,164,141,135,114,149,169,171,102,129,194,175,111,98,149,144,142,142,140,139,109,113,117,123,130,133,139,135,188,193,160,131,86,138,160,155,142,165,186,164,92,122,151,144,144,143,142,141,110,114,118,125,131,136,139,141,194,202,187,143,79,82,134,148,167,162,154,130,89,145,150,147,146,145,143,142,111,115,119,126,132,137,140,149,186,174,166,172,131,92,89,115,144,146,138,92,102,156,148,149,148,146,145,143,111,116,119,127,133,138,139,151,196,173,150,184,183,138,84,71,112,135,126,79,111,158,149,150,149,148,146,144,112,116,120,127,134,139,138,162,203,160,139,138,186,170,126,75,73,109,117,83,123,159,151,151,151,150,148,146,112,117,120,128,136,140,138,173,200,157,121,97,141,179,163,120,70,73,91,77,142,158,153,153,153,152,150,148,113,117,120,128,135,141,139,181,205,160,113,133,120,171,187,159,114,68,64,80,154,157,155,154,152,152,151,149,113,116,120,128,135,140,139,181,200,163,109,142,141,189,189,173,143,103,64,87,162,155,155,154,152,152,150,149,113,116,120,129,136,141,140,180,203,154,120,143,163,204,190,172,155,110,60,96,166,154,155,156,154,152,151,150,112,117,121,130,137,143,141,178,207,145,137,138,183,208,194,167,135,99,60,106,166,157,157,156,155,154,152,151,111,116,121,129,136,143,142,173,205,146,151,136,198,204,189,169,118,84,65,124,164,157,157,154,153,153,151,150,113,117,122,130,137,145,145,171,203,156,160,138,205,196,185,158,111,78,70,150,168,163,162,161,160,159,158,158,98,101,104,107,108,111,108,130,201,173,167,146,200,185,173,140,100,79,74,109,111,109,109,109,109,110,104,96,80,80,81,81,80,79,77,88,197,180,166,141,184,174,145,119,92,80,74,71,69,68,68,67,67,57,64,114,87,87,88,88,87,88,87,93,186,167,153,135,154,155,124,108,97,84,76,80,79,78,77,79,77,101,164,171,87,88,88,87,86,87,86,85,164,147,134,128,130,141,131,109,99,86,79,80,79,78,78,72,117,179,169,143
6,187,189,192,193,194,196,197,197,197,197,196,196,196,194,193,193,192,191,190,188,187,186,185,184,184,183,181,180,189,192,194,194,195,197,197,198,198,197,197,198,197,196,195,193,193,192,191,190,188,187,187,186,187,184,182,181,191,193,195,196,197,198,199,199,199,199,199,199,199,197,196,195,196,194,193,192,191,190,188,188,187,186,184,182,193,195,196,197,199,199,200,200,200,201,200,200,199,198,198,197,196,196,195,194,194,192,190,189,187,186,185,183,194,196,199,198,200,201,202,201,201,202,202,201,201,199,198,198,197,196,196,196,195,194,192,191,189,188,186,185,195,197,200,200,201,202,202,203,202,202,202,202,201,200,199,200,199,198,197,197,196,196,193,190,188,186,186,186,197,198,201,201,203,205,204,204,203,203,203,203,202,201,199,198,194,189,181,178,179,173,167,163,160,146,167,180,199,200,202,202,204,205,205,205,205,204,200,188,182,183,181,172,157,145,132,141,154,159,148,145,141,125,163,177,200,202,203,205,205,206,206,207,206,195,181,157,148,148,150,156,148,136,126,129,140,147,134,130,123,111,127,142,200,202,205,206,207,207,208,206,201,191,178,161,148,135,108,120,125,119,103,96,103,100,99,101,109,115,132,158,202,203,206,207,208,209,205,201,191,178,172,162,158,149,100,71,68,71,79,106,133,151,163,176,186,189,191,192,203,205,207,209,208,203,195,193,176,164,166,168,168,135,88,67,58,115,166,192,201,203,202,201,200,198,196,194,204,206,209,206,200,193,188,179,169,165,162,168,166,124,79,67,66,110,198,206,204,202,201,201,200,199,197,195,205,207,205,200,193,190,182,175,171,163,160,166,160,144,109,74,66,64,133,207,205,203,202,202,201,199,197,196,205,203,199,197,191,186,176,171,167,161,158,159,160,158,127,84,65,67,74,180,208,205,203,202,201,200,199,198,176,198,200,194,185,180,171,165,160,156,155,157,161,158,122,84,68,66,60,154,211,206,204,204,202,201,201,200,86,139,193,197,183,172,164,158,155,153,152,154,160,158,133,92,65,65,74,184,210,207,206,205,205,203,201,200,71,69,107,167,177,169,164,160,157,156,157,156,161,159,147,106,68,62,74,190,211,209,207,207,205,204,202,201,67,65,51,71,137,170,163,157,156,155,158,159,158,157,141,101,71,68,65,176,214,210,208,207,206,206,204,202,63,50,44,39,59,121,150,156,157,156,151,143,139,134,113,93,77,73,74,186,215,211,209,208,206,206,204,202,48,43,40,42,40,48,99,142,154,149,140,128,120,111,97,87,83,78,63,144,217,212,210,208,207,206,205,203,41,45,44,41,37,36,41,87,140,147,134,120,109,116,106,82,82,80,65,146,217,213,212,210,208,208,206,204,42,46,47,40,34,37,33,34,81,123,115,102,93,107,89,76,86,92,134,203,215,214,213,211,209,209,207,206,44,46,41,36,32,33,28,28,32,72,83,92,132,186,174,157,174,192,212,217,216,215,214,212,211,209,208,206,43,41,33,30,29,27,25,23,22,23,96,187,216,224,224,222,221,220,218,217,216,215,214,213,212,209,207,206,42,32,27,26,27,24,21,20,19,61,198,224,222,222,221,220,219,218,217,216,215,215,213,212,211,208,207,206,36,25,25,24,22,19,18,18,16,108,227,222,222,221,221,220,219,218,216,215,215,214,213,212,211,209,207,204,31,27,25,19,23,23,14,18,19,140,228,224,223,221,221,220,220,219,217,216,215,214,213,213,212,210,206,203
6,146,148,148,149,149,149,148,148,148,148,148,146,146,145,144,143,143,141,139,138,138,138,137,136,134,133,85,101,148,149,149,149,151,150,149,150,150,149,149,148,147,147,146,145,144,142,141,140,140,140,139,138,136,133,128,88,150,151,152,152,152,152,151,150,152,150,149,149,148,149,148,147,145,143,144,143,143,141,139,139,138,135,134,119,151,153,154,154,154,154,154,153,153,153,152,150,149,150,149,147,147,145,146,146,146,142,140,140,138,137,134,127,152,154,155,155,156,156,155,155,154,154,152,152,151,151,150,150,149,148,146,146,145,143,142,141,139,138,135,131,154,155,155,157,158,156,156,157,156,155,155,154,153,151,151,152,151,149,147,147,147,146,143,142,142,140,139,134,154,155,156,158,159,159,158,159,157,156,156,157,155,155,155,152,151,146,147,146,146,143,140,140,134,137,137,137,155,157,157,159,160,161,160,160,162,160,157,154,150,145,142,140,138,118,118,132,133,119,128,125,132,171,121,130,156,158,161,161,160,160,159,158,151,141,142,144,138,140,142,143,133,129,118,138,142,126,130,132,123,152,103,125,158,161,162,162,161,160,161,166,144,124,132,144,146,151,153,152,137,116,117,112,112,101,91,93,83,88,112,142,159,160,161,163,163,160,170,177,151,135,126,126,129,124,120,113,104,95,71,66,58,64,103,109,125,139,145,141,159,161,162,162,164,161,179,179,162,149,134,120,115,106,100,91,78,60,34,21,19,121,162,152,151,148,143,141,160,161,163,164,164,168,185,182,174,145,113,106,111,118,117,110,101,93,91,54,90,162,148,149,148,147,145,143,162,163,164,166,162,177,190,186,171,119,90,98,103,114,118,117,108,97,98,69,102,164,151,152,150,148,146,145,163,165,166,166,161,187,187,184,145,96,104,101,93,95,112,103,94,93,87,45,109,163,153,153,150,148,148,146,163,165,167,164,168,190,184,183,154,135,121,105,83,84,115,108,101,104,88,58,150,158,155,153,152,150,149,147,164,166,168,162,182,186,184,186,184,171,134,103,108,117,118,110,98,87,85,68,123,164,154,155,152,150,149,146,166,167,163,168,187,186,187,183,182,178,128,92,98,104,103,101,87,78,77,48,117,165,155,156,154,151,148,146,165,167,160,175,185,189,185,177,177,159,120,96,91,83,87,93,90,85,65,62,151,160,155,155,154,151,151,153,166,158,160,181,185,187,178,171,165,160,144,126,96,60,67,90,86,85,57,95,166,154,157,155,150,151,149,128,166,146,173,183,185,180,176,176,170,163,168,157,110,77,91,111,100,80,71,59,148,161,154,153,154,161,91,18,155,154,180,183,183,179,181,178,166,170,173,145,94,74,83,85,76,65,55,51,147,160,159,163,136,76,16,5,150,170,177,180,178,174,168,164,161,170,158,121,84,79,78,67,58,53,48,116,171,161,135,79,30,6,6,2,164,172,177,174,166,160,153,155,154,141,122,95,80,70,50,84,101,119,144,151,110,64,20,4,5,4,5,4,171,171,174,167,153,150,147,144,142,122,98,87,87,79,91,144,124,101,72,35,8,0,0,2,2,0,0,0,169,170,163,152,141,131,141,140,129,118,107,93,73,45,47,23,5,0,0,5,0,0,0,0,0,0,0,0,168,166,159,149,136,125,127,122,108,101,84,59,29,8,0,0,0,0,1,2,0,0,0,0,0,0,0,0,170,161,155,139,118,112,106,92,76,65,45,20,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0
10,144,145,145,145,146,147,147,148,147,146,146,147,146,145,145,144,142,142,140,140,140,138,137,136,136,134,133,133,148,149,149,150,149,150,149,150,150,149,149,149,148,148,147,145,145,143,145,138,136,140,138,137,136,136,135,134,153,152,153,154,154,154,154,154,153,153,153,152,151,151,150,148,148,143,163,137,108,145,139,138,138,137,137,136,156,156,156,157,158,157,157,157,157,157,156,155,155,154,152,151,150,147,168,143,97,142,142,141,140,138,138,136,160,160,161,160,161,161,161,160,160,161,160,159,159,157,155,154,154,151,169,142,96,141,147,143,142,140,139,138,164,164,164,163,165,165,163,164,164,164,164,163,161,160,159,158,157,155,170,134,93,142,151,146,144,143,142,141,167,168,167,167,168,168,167,167,168,168,167,166,165,164,162,161,161,158,175,146,96,144,154,149,148,147,145,142,171,171,171,171,171,172,171,171,171,172,171,169,168,167,166,165,163,163,180,141,122,147,156,152,150,149,147,144,172,172,174,174,174,175,174,173,174,175,174,172,172,170,169,168,165,175,176,159,142,117,163,154,153,151,149,148,175,175,176,177,177,177,177,176,177,177,176,175,175,174,172,171,166,156,159,174,135,92,164,157,155,154,152,150,177,178,178,179,179,178,178,178,179,179,178,178,177,177,175,175,173,154,136,146,147,84,127,170,157,157,154,153,180,180,180,180,180,181,181,180,181,182,181,180,178,178,175,171,185,182,154,120,113,108,81,152,165,159,156,156,182,182,183,183,184,184,183,184,184,184,184,184,185,182,159,133,128,161,167,163,126,99,85,112,172,159,159,160,184,184,184,185,185,185,185,185,185,185,186,171,150,172,174,148,100,68,156,170,113,82,75,113,174,163,162,161,186,187,187,187,188,187,187,187,187,186,185,170,139,127,185,169,131,60,67,102,107,91,72,123,177,165,165,163,188,188,188,188,190,189,189,189,189,187,183,183,173,133,153,187,143,95,58,66,152,124,75,129,178,168,167,164,189,189,190,190,190,190,190,190,189,188,163,156,178,151,115,170,151,107,68,89,152,149,83,128,182,170,169,166,190,191,191,191,191,191,192,192,190,189,173,125,142,146,79,125,159,102,74,99,144,149,82,121,182,170,170,168,192,192,193,193,193,193,193,193,192,183,163,129,111,131,89,95,161,137,91,107,142,119,75,132,183,171,171,169,194,194,194,194,194,195,194,195,192,185,182,162,116,121,120,95,148,168,114,98,129,95,76,161,180,173,172,171,194,195,194,195,195,196,195,196,193,188,194,171,137,121,119,108,153,154,102,88,117,86,91,182,177,175,174,173,195,195,195,195,196,196,195,196,197,186,194,183,155,131,125,143,190,175,129,109,111,79,119,190,177,177,175,173,197,197,196,197,198,198,198,199,199,187,183,183,164,142,135,151,188,185,161,129,108,74,147,190,178,178,176,174,197,197,198,198,198,199,200,200,201,190,176,181,170,160,146,150,183,178,147,118,98,80,174,186,181,179,177,175,196,196,196,197,198,199,199,199,200,197,175,174,177,173,151,142,173,160,135,110,80,105,192,182,182,180,178,177,196,197,197,197,198,199,200,200,199,202,183,163,173,166,150,131,151,144,120,100,65,147,191,181,181,179,177,175,197,197,198,199,199,200,200,201,200,201,197,171,168,160,147,131,135,144,119,85,91,186,184,182,181,179,177,179,198,198,199,200,200,200,201,201,201,201,198,183,169,155,148,139,131,141,116,73,142,196,183,183,181,179,180,149
0,199,199,199,198,199,198,198,197,197,199,198,199,198,198,196,195,196,195,194,193,191,190,191,191,189,188,187,186,200,201,200,200,201,201,201,201,201,200,200,200,200,199,198,197,196,195,194,194,194,193,193,192,189,188,188,187,202,202,201,202,202,201,201,201,201,201,202,202,201,201,199,199,198,197,196,197,196,195,195,194,193,191,190,188,202,202,202,202,201,201,201,201,202,202,203,203,203,202,200,199,199,200,199,198,196,194,191,195,194,193,192,191,203,203,204,203,202,203,202,202,203,203,203,204,203,202,195,180,186,198,181,167,185,183,153,193,195,195,194,193,204,204,205,205,205,204,204,204,205,204,205,205,203,196,169,133,113,145,146,122,117,169,127,169,196,196,195,193,205,205,206,206,206,207,206,205,205,206,204,185,159,161,162,131,104,82,141,121,89,146,141,123,197,197,195,195,207,206,206,206,207,207,206,204,186,178,190,170,125,91,146,137,123,89,146,124,94,125,151,99,150,197,196,196,207,208,208,208,206,206,204,192,158,117,165,160,123,86,134,143,133,89,151,129,92,95,153,119,98,148,197,196,209,208,208,208,208,206,194,186,157,121,147,163,131,100,126,146,129,85,150,132,86,65,151,137,108,88,195,196,209,209,209,209,208,203,184,177,167,142,132,170,132,106,107,146,127,74,124,110,76,71,157,149,102,100,200,199,209,209,209,210,210,197,177,157,165,147,120,163,127,103,89,143,117,56,68,71,55,106,170,145,85,147,201,200,211,211,211,210,209,195,186,148,150,136,100,142,129,104,65,90,79,36,51,61,84,156,171,131,80,188,200,201,211,213,213,211,207,188,169,124,122,98,62,103,120,94,46,40,51,86,129,128,139,170,155,106,108,203,201,201,212,214,213,212,206,188,178,146,113,76,53,59,81,60,42,63,122,163,165,161,141,151,136,73,150,205,203,201,213,214,214,213,206,189,187,164,129,105,91,87,98,103,121,149,172,175,167,161,133,115,101,62,184,204,204,202,213,215,214,213,205,189,193,171,142,122,107,116,140,166,176,183,187,178,159,151,118,85,69,114,205,206,205,203,213,214,213,213,207,184,195,175,149,123,118,128,166,185,191,192,188,168,149,135,100,63,88,194,207,207,205,205,211,212,212,212,209,176,185,175,155,132,127,139,182,192,191,190,178,154,134,114,78,71,185,207,207,206,206,205,211,213,214,214,214,181,182,180,161,147,140,152,184,191,189,180,159,142,120,93,62,161,207,207,207,206,204,203,214,214,214,214,215,192,173,180,172,159,144,156,181,182,181,168,140,122,99,66,127,206,209,208,207,206,205,204,214,214,214,215,214,205,172,178,172,155,140,150,172,167,162,144,121,99,71,94,199,210,208,209,207,207,206,205,214,214,214,215,215,213,178,173,166,147,138,144,162,155,142,123,96,68,75,187,210,211,210,209,208,208,207,206,214,214,214,214,214,213,183,174,159,141,138,139,155,147,126,103,72,70,180,211,212,211,212,209,208,207,207,206,215,214,214,214,215,205,180,173,165,157,155,147,150,142,113,84,56,171,210,213,212,211,212,210,209,208,207,206,203,205,207,207,208,190,177,179,172,169,158,150,143,131,95,65,95,209,213,214,214,212,212,210,210,208,207,206,128,131,133,135,136,155,178,187,180,170,159,149,136,108,84,58,112,176,181,182,185,188,188,188,190,192,192,192,106,106,104,103,101,144,178,188,176,169,159,147,113,97,76,53,81,106,108,107,107,109,109,110,111,113,114,114
20,156,158,159,159,160,159,159,159,160,159,159,159,158,159,158,155,154,152,151,149,148,145,144,143,141,140,138,136,160,162,162,163,163,162,162,163,163,163,163,163,165,151,147,159,157,156,155,152,151,149,148,145,143,142,141,139,164,166,166,166,166,166,166,165,166,166,166,166,179,149,109,161,161,158,158,156,154,153,151,148,147,145,144,142,169,169,170,170,170,171,171,170,170,170,171,169,177,157,87,101,133,165,161,159,158,156,154,152,150,149,146,143,173,173,174,174,174,175,174,174,174,174,174,173,183,153,76,107,99,158,166,163,161,160,158,156,154,152,150,147,175,176,178,178,178,179,179,178,178,179,178,177,187,143,74,144,107,137,173,168,165,163,162,159,158,156,154,151,179,180,181,181,181,182,181,181,181,182,182,180,194,149,85,159,112,118,176,171,169,166,166,163,161,159,157,156,183,183,184,184,184,185,185,185,185,185,185,184,200,143,86,165,134,113,178,175,173,171,170,167,163,163,160,159,185,186,186,186,187,187,187,187,187,188,187,191,202,124,89,176,143,104,179,177,175,174,173,171,167,165,163,163,188,189,190,189,191,190,190,190,191,190,182,193,202,125,108,190,140,96,179,181,178,176,175,173,171,168,167,162,192,193,193,193,194,193,193,193,194,192,174,162,174,136,106,183,145,96,180,182,180,179,178,175,173,171,171,147,194,195,195,196,196,196,196,196,195,198,206,192,154,126,100,167,156,107,178,185,183,182,180,179,176,173,173,159,198,198,198,199,199,199,199,198,199,190,168,189,161,162,107,139,145,104,174,189,186,185,182,181,178,177,175,164,200,200,199,200,200,201,201,201,201,202,149,117,168,179,98,83,104,89,169,193,188,187,185,183,180,178,176,167,202,201,200,201,201,202,202,203,203,207,149,65,155,173,122,80,74,71,159,196,191,188,187,186,182,179,177,176,203,203,202,202,202,203,203,204,204,202,154,95,118,161,151,110,99,60,145,199,193,189,188,187,184,181,180,178,204,204,204,204,205,206,206,206,198,195,164,132,84,95,148,134,111,60,124,203,195,192,191,188,186,184,181,179,207,207,207,207,207,207,208,202,197,180,177,162,116,90,115,139,119,73,101,205,197,194,193,191,189,186,182,179,208,208,208,207,208,208,206,198,178,131,140,164,139,90,92,133,153,104,77,191,200,196,194,193,191,188,185,182,209,210,210,210,210,211,207,197,187,142,78,118,132,75,73,118,166,136,74,135,206,198,196,194,191,189,187,185,211,212,211,211,211,213,209,197,176,146,103,77,110,80,77,158,182,159,88,96,206,200,198,197,193,191,189,187,211,212,213,213,213,214,211,195,192,175,111,85,111,107,128,196,186,144,78,109,208,201,199,197,195,193,191,189,213,214,215,215,215,216,215,193,196,181,126,102,121,183,204,196,163,127,62,146,208,202,200,198,195,194,192,189,216,215,215,216,217,218,216,193,188,176,141,104,125,205,205,178,140,112,64,181,207,202,201,200,197,195,193,190,215,215,215,215,216,217,218,192,174,168,143,110,122,193,186,160,124,91,79,204,205,202,201,200,198,197,197,195,215,215,215,215,216,217,218,200,174,168,144,125,124,190,181,146,107,68,115,213,204,202,201,199,201,196,175,138,216,217,216,217,217,217,218,213,178,167,152,132,115,177,166,126,87,60,177,210,205,203,203,196,170,110,63,56,216,218,218,218,219,219,220,216,188,170,152,129,109,142,131,94,60,94,212,208,206,198,160,105,63,47,40,48
20,124,126,129,132,134,135,138,139,139,140,142,143,144,142,143,145,142,143,142,144,142,143,140,139,138,138,137,136,125,129,132,133,136,139,139,141,142,142,143,145,143,157,146,131,146,146,144,144,145,143,143,142,141,140,139,138,128,131,133,135,138,140,142,143,144,144,145,147,141,176,150,95,146,128,147,145,145,145,145,144,144,142,139,139,130,133,136,137,140,143,144,145,146,147,148,151,144,179,149,102,163,96,140,151,147,148,148,146,145,144,143,141,132,136,138,139,142,144,145,147,148,149,150,153,147,179,151,111,179,100,126,157,150,151,150,149,148,146,144,144,133,138,139,141,144,146,147,149,151,151,152,153,148,186,167,114,182,118,119,159,152,153,152,151,149,149,147,146,135,138,141,143,146,149,150,151,153,153,155,157,150,190,158,120,190,132,117,161,155,156,155,153,152,150,149,147,137,139,142,144,148,150,151,153,153,153,153,155,157,190,147,132,190,129,112,163,157,158,157,155,153,153,152,150,138,141,144,147,150,152,153,154,156,155,170,167,155,194,151,134,193,122,111,166,158,158,158,157,155,154,153,152,140,143,146,148,151,153,155,156,153,159,206,203,151,119,132,134,189,122,118,168,159,160,160,159,157,156,155,154,142,145,147,150,152,154,157,155,173,184,167,172,154,94,73,109,164,114,124,170,162,162,161,161,158,158,157,156,143,146,150,151,155,157,156,166,202,204,154,126,158,136,125,95,117,103,124,172,164,164,162,162,161,160,158,157,144,147,150,154,156,159,157,176,178,135,180,149,129,175,169,113,81,83,125,172,164,165,163,162,163,161,160,159,146,149,151,155,157,159,157,177,177,91,91,93,68,146,171,127,83,72,123,173,165,167,165,165,165,164,162,162,147,150,152,156,158,161,159,181,163,130,111,77,73,87,182,162,107,65,122,176,167,169,167,166,166,165,163,162,148,152,155,157,159,163,159,185,192,157,115,91,99,85,171,190,134,68,112,179,169,170,169,168,167,167,165,163,149,153,156,159,162,164,161,190,191,136,102,96,110,114,174,204,156,88,103,179,169,172,170,169,169,168,167,165,151,155,157,160,163,166,161,190,189,142,116,113,121,139,199,201,164,103,102,180,171,172,171,170,171,170,168,167,152,156,159,162,164,167,165,191,199,156,129,126,136,175,207,194,153,109,98,179,172,173,173,172,172,170,169,169,153,157,160,162,165,169,166,191,203,170,136,136,151,196,207,191,147,108,100,179,174,175,174,174,174,172,170,169,154,156,159,162,165,169,165,186,206,179,147,140,164,204,200,181,145,104,93,180,177,176,175,175,175,174,172,170,155,156,159,162,165,169,165,183,207,180,159,152,166,207,193,166,141,98,88,177,176,175,174,173,174,173,172,170,155,157,162,165,167,169,168,176,203,187,172,172,163,198,184,158,137,93,85,178,178,177,176,174,174,173,170,173,154,158,163,165,168,169,172,172,196,194,178,181,159,175,167,143,128,85,88,184,178,179,178,177,174,174,179,164,156,159,163,165,168,171,172,170,190,203,184,169,147,148,149,129,131,75,105,191,178,181,179,176,182,178,153,94,157,161,163,165,168,170,179,183,192,204,178,150,120,124,140,126,123,62,137,191,180,182,180,185,159,104,70,58,158,163,166,170,172,177,148,76,138,204,153,130,107,120,147,119,99,67,183,185,183,184,187,148,82,68,62,54,128,132,137,140,143,152,88,0,82,197,162,133,107,131,151,97,80,31,106,179,173,179,144,75,66,61,52,51
18,71,74,77,81,86,93,97,104,111,118,125,130,135,138,140,142,145,150,151,154,157,160,162,164,166,167,167,170,70,74,78,82,88,94,97,103,111,119,126,132,137,138,140,143,147,151,152,156,157,159,162,163,166,167,169,171,71,74,79,82,87,94,98,104,113,120,126,133,137,139,141,143,149,152,153,156,160,162,163,165,166,168,172,173,73,76,80,83,87,95,98,105,115,121,128,134,139,141,142,145,147,152,156,159,161,164,167,167,166,169,172,174,73,75,80,84,90,96,99,106,115,124,130,135,139,141,145,144,156,152,139,154,165,160,158,172,172,171,173,175,73,75,80,84,91,97,100,107,115,125,133,133,141,149,136,148,194,142,108,99,168,172,128,117,173,174,174,176,74,76,80,82,90,96,101,111,118,127,132,128,197,159,106,156,182,145,139,143,194,171,126,86,102,177,175,176,74,77,81,83,91,98,101,111,114,130,124,167,223,159,118,173,177,151,162,170,170,140,132,122,71,139,186,177,75,78,81,84,92,100,105,105,133,184,126,135,205,159,149,144,156,143,150,153,132,122,142,133,102,97,188,179,76,80,82,86,93,98,105,98,202,204,152,108,165,185,152,115,116,135,112,119,93,142,149,139,128,81,142,195,77,79,82,85,94,99,97,120,225,201,177,143,119,196,155,118,96,168,110,67,84,175,155,157,146,110,82,169,76,79,82,86,93,101,90,152,189,191,196,166,97,144,168,124,77,153,148,93,44,139,160,173,160,124,92,91,77,80,82,89,94,103,90,166,151,144,182,140,91,90,142,107,69,98,117,72,58,140,181,191,164,129,107,82,78,80,82,89,94,102,90,188,182,139,154,92,79,60,91,85,53,57,55,98,190,195,174,173,155,129,111,96,77,80,82,87,95,99,94,202,187,155,158,84,73,47,78,82,42,20,111,208,202,183,174,151,132,117,108,87,77,80,83,87,96,96,115,218,182,148,136,94,68,36,75,72,36,93,212,216,205,183,160,137,110,101,94,94,78,80,82,87,95,96,109,237,204,175,159,129,94,79,81,76,106,199,220,216,202,169,149,124,100,93,80,133,78,80,83,89,95,97,106,234,216,192,176,147,126,131,122,130,191,218,217,210,184,154,135,115,96,86,83,175,77,80,83,89,95,100,105,234,225,200,175,151,139,145,143,170,210,211,208,191,165,143,123,106,95,77,111,198,77,81,83,89,95,101,101,228,224,201,178,162,158,153,159,188,205,209,193,169,156,133,113,104,96,72,153,198,79,81,83,89,96,103,99,207,226,205,187,176,170,167,175,190,194,196,171,149,140,121,105,97,87,91,190,192,79,81,84,92,98,104,99,177,228,209,206,191,174,167,172,176,176,172,155,137,125,110,98,95,76,142,199,188,79,81,85,93,99,104,104,144,225,215,220,202,180,163,150,151,154,150,146,125,110,101,95,83,87,187,191,191,79,81,86,93,96,103,113,115,208,216,208,201,181,157,141,136,142,140,137,119,101,97,96,68,133,197,189,193,78,80,85,92,98,102,117,113,166,214,183,181,171,152,136,133,137,141,139,122,105,99,87,72,176,193,191,196,79,81,85,92,98,101,112,121,131,200,183,163,151,133,133,140,123,130,135,121,102,97,75,96,194,188,191,195,77,81,86,93,97,103,115,127,124,176,168,146,150,139,152,157,124,120,134,121,101,96,67,117,200,188,192,194,76,80,86,92,95,103,114,125,125,159,178,156,165,151,147,151,129,110,126,121,101,90,64,107,200,190,193,194
0,205,203,204,204,205,204,203,202,204,204,204,204,204,203,202,202,201,200,200,198,196,195,195,195,193,190,190,190,208,208,207,207,207,208,207,207,207,207,207,206,206,205,204,204,202,201,202,200,200,198,197,198,195,194,193,191,210,211,210,210,210,211,210,210,209,208,208,208,208,206,207,206,204,202,203,201,201,199,200,199,196,194,193,192,210,211,211,211,211,210,210,211,211,210,211,210,209,207,209,207,206,206,206,201,202,202,200,200,199,198,197,194,211,212,212,211,212,211,211,211,212,211,212,212,212,210,210,214,209,208,211,210,204,203,203,202,201,200,198,198,214,213,214,213,212,212,212,212,213,212,213,212,211,213,205,186,206,215,188,183,211,176,170,210,201,201,200,200,214,214,215,214,213,213,212,212,213,212,213,217,219,209,163,117,113,169,138,104,131,180,105,202,205,202,202,198,215,216,216,215,215,216,216,216,218,221,216,190,160,175,159,125,69,78,144,107,63,178,105,155,220,200,204,200,216,216,217,217,216,216,215,215,193,193,203,166,100,75,153,134,103,88,146,114,67,151,145,75,191,212,202,203,217,218,219,218,218,218,214,200,151,96,178,160,113,61,143,144,119,85,155,119,56,116,161,90,85,189,208,203,219,218,219,218,218,219,201,192,160,102,159,169,128,76,136,152,107,82,161,123,50,68,167,131,71,105,223,201,219,220,220,220,221,215,186,183,174,127,139,179,126,80,110,155,103,63,131,105,40,71,174,142,60,116,224,203,222,222,221,221,221,209,170,159,174,137,120,170,120,77,90,153,102,28,56,55,21,131,182,133,46,177,216,206,224,223,220,221,220,203,192,143,153,132,83,148,128,89,49,86,57,0,32,33,83,176,175,100,76,218,208,210,224,224,222,223,217,194,169,107,118,84,31,108,119,80,12,9,27,80,133,112,152,177,151,62,134,226,208,211,224,225,224,227,213,192,179,134,96,52,21,40,66,26,6,47,132,179,175,159,135,159,121,37,187,220,210,211,225,226,225,228,210,196,193,164,116,92,72,75,87,92,120,162,185,177,167,161,115,113,75,51,222,214,213,212,226,226,225,229,208,196,203,170,137,112,100,112,147,178,189,193,194,179,159,146,94,74,26,146,230,214,214,212,226,226,225,229,209,188,203,175,145,109,111,122,178,194,197,200,192,166,145,127,82,19,101,229,215,216,216,214,225,226,225,227,215,176,193,178,153,124,119,142,196,200,196,199,178,148,125,106,36,69,225,219,217,217,218,216,224,226,225,225,225,180,188,186,161,148,133,159,193,199,197,184,153,135,110,66,36,204,223,217,216,217,216,215,226,226,225,225,232,192,175,188,177,160,134,163,189,190,186,164,132,114,87,24,163,230,213,218,217,216,215,212,226,227,227,225,229,210,168,183,175,155,133,153,180,171,160,137,108,89,25,116,235,216,220,218,216,216,214,213,227,226,227,227,228,225,177,179,165,146,133,144,168,154,137,112,84,26,79,228,221,222,219,217,218,217,217,215,226,225,226,228,229,222,186,179,157,137,133,138,160,146,114,94,34,70,224,224,221,223,221,219,219,218,218,216,225,225,225,225,228,212,185,176,165,161,155,144,151,140,101,57,36,215,228,222,223,223,221,220,219,218,217,216,230,229,230,229,233,189,183,186,179,174,160,147,145,123,81,24,127,242,220,226,224,223,224,221,221,220,216,213,185,189,193,197,201,171,187,197,185,172,160,149,128,95,66,28,183,230,224,225,225,224,222,221,220,219,216,214
0,216,218,219,221,222,224,228,227,229,230,230,230,231,232,235,233,235,236,235,236,236,236,235,236,237,235,236,236,217,219,222,224,225,226,228,230,230,231,232,233,233,235,237,236,236,236,236,237,238,237,238,237,237,237,237,237,217,219,223,226,228,228,230,231,232,235,235,235,236,238,237,236,238,239,237,237,238,239,239,240,239,238,238,239,217,220,224,226,228,229,231,232,234,237,236,237,238,237,237,240,240,238,238,239,241,241,238,241,241,241,240,242,220,223,225,227,228,230,232,234,236,235,239,241,239,246,251,235,235,247,255,234,237,255,216,236,245,244,244,242,223,225,227,229,230,234,234,235,234,248,255,234,213,255,255,217,195,255,255,227,204,255,215,209,250,241,243,243,223,226,229,231,233,234,236,241,236,255,255,244,184,232,255,233,182,207,255,235,184,233,241,190,239,245,243,246,226,228,229,232,235,233,255,255,220,255,255,255,201,218,255,243,192,206,255,239,173,188,251,207,193,231,250,245,227,228,230,234,228,253,255,255,217,250,255,253,216,216,255,248,191,218,255,225,177,138,234,231,209,180,228,251,225,230,232,234,229,255,255,255,234,231,255,251,218,208,255,253,178,220,255,202,163,99,198,248,230,172,205,255,228,230,234,232,241,255,255,255,246,215,255,253,211,206,255,247,169,180,222,188,134,115,237,255,236,177,222,255,229,231,234,229,255,255,255,255,248,202,255,249,204,193,255,229,171,143,192,180,106,167,255,255,227,177,248,255,231,234,236,230,255,255,254,255,211,166,221,228,194,165,204,200,163,134,196,174,144,244,255,245,192,188,255,253,231,235,235,248,255,255,224,234,185,144,195,207,187,139,169,186,130,163,238,240,246,246,241,219,175,212,255,254,233,236,229,255,255,255,231,215,201,159,180,216,195,123,147,184,204,255,255,255,245,221,207,194,169,225,255,255,237,239,232,253,255,255,255,220,202,175,182,235,192,120,170,255,255,255,255,253,233,207,186,180,158,243,255,255,238,239,237,254,255,255,255,246,221,204,210,225,208,227,255,255,255,255,255,240,215,191,181,161,200,255,255,255,237,241,237,255,255,255,255,255,247,220,227,244,255,255,255,255,255,255,238,220,197,184,166,185,255,255,255,255,236,241,237,255,255,255,255,255,255,243,239,255,255,255,255,255,255,249,225,199,181,170,163,249,255,255,255,255,238,242,238,255,255,255,255,255,255,254,247,253,255,255,255,255,255,234,206,183,172,154,223,255,255,255,255,255,237,242,243,253,255,255,255,255,255,245,244,246,255,255,255,246,236,218,187,177,150,201,255,255,255,255,255,255,238,243,244,245,255,255,255,255,252,237,238,243,252,254,239,224,207,192,175,148,185,255,255,255,255,255,255,255,242,247,250,244,255,255,255,255,249,235,244,252,254,247,228,210,185,166,136,160,255,255,255,255,255,255,255,255,224,214,214,199,203,208,194,184,179,173,186,189,184,179,166,162,154,137,147,255,255,255,255,255,255,255,255,255,180,169,170,164,150,148,146,133,127,113,108,99,92,95,90,90,95,99,128,206,255,255,255,255,255,255,255,255,170,174,170,165,159,155,148,135,127,117,113,100,95,93,90,87,86,89,89,72,195,255,255,255,255,255,255,255,180,171,173,169,162,150,145,136,123,117,108,99,93,91,88,83,86,86,91,73,220,255,255,255,255,255,255,255,194,174,175,167,161,150,144,133,119,116,107,99,94,90,87,84,83,86,77,126,255,255,255,255,255,255,255,255
18,152,154,158,160,163,165,167,169,171,173,175,175,175,175,176,178,179,179,180,180,179,180,181,180,180,180,180,179,154,156,159,162,164,167,170,172,173,174,177,177,177,178,178,180,181,181,182,182,181,181,182,182,182,182,181,180,156,158,161,164,166,169,172,174,176,177,179,179,180,181,181,182,183,182,183,183,183,183,184,184,185,185,185,184,158,160,163,165,168,171,175,177,178,180,181,182,183,183,184,185,185,185,185,185,186,187,187,187,187,187,187,186,159,162,165,168,171,174,177,179,180,182,184,184,185,187,187,187,187,183,173,180,189,190,189,189,189,188,188,188,161,164,167,171,173,175,178,180,182,184,185,186,187,188,185,183,197,173,137,132,176,175,173,188,192,190,190,190,163,165,169,172,173,176,180,181,184,187,187,188,190,189,163,144,175,151,108,101,109,142,132,148,192,192,193,193,165,168,171,173,176,179,181,184,186,188,188,183,182,203,160,132,154,145,111,101,90,134,137,105,167,197,195,194,166,170,173,176,179,181,183,186,187,189,195,170,138,165,174,152,156,164,150,144,130,121,122,98,139,200,196,196,167,171,175,179,180,182,185,187,189,193,205,185,151,125,163,161,137,167,178,177,170,137,95,83,134,201,199,199,169,171,176,180,181,184,187,189,191,196,193,198,175,133,122,154,123,134,173,176,176,144,95,72,142,202,201,201,171,173,177,180,182,185,188,190,192,196,166,175,170,141,97,121,127,111,143,148,168,150,105,73,151,203,201,201,172,175,179,182,185,187,189,191,193,198,152,134,152,119,80,94,113,89,100,131,175,165,120,79,166,203,201,202,173,176,179,183,186,188,191,193,196,203,177,145,139,98,68,83,97,73,76,101,184,178,134,89,168,205,202,202,175,178,181,184,186,189,192,195,198,203,176,138,127,94,66,77,94,62,70,127,192,191,148,97,121,203,204,204,176,179,181,184,187,190,192,195,198,204,187,152,123,95,67,77,94,72,133,192,198,186,148,107,91,190,208,207,177,180,182,185,187,191,194,196,198,208,198,166,131,103,87,78,87,136,202,211,202,174,134,105,97,192,209,208,179,181,184,187,189,193,195,197,199,209,201,172,140,119,106,103,131,193,215,206,188,161,117,94,108,203,209,208,181,182,184,188,191,194,197,199,200,207,203,180,156,139,123,117,156,206,217,197,165,140,107,85,129,209,209,209,180,183,185,188,191,194,198,200,200,205,202,185,162,142,130,121,158,206,213,187,155,127,99,84,153,212,210,210,181,184,186,189,192,195,198,201,201,201,200,186,164,145,148,127,148,204,207,174,141,114,93,87,176,213,211,211,181,184,187,191,193,196,199,200,202,199,197,191,172,159,158,132,134,200,191,159,125,103,89,98,196,214,213,213,182,184,188,191,194,197,199,199,201,200,194,189,177,161,160,138,127,189,176,142,114,94,85,117,210,214,214,214,182,185,187,190,193,195,197,199,201,202,197,191,180,161,153,136,120,176,161,125,105,92,82,144,216,214,214,214,181,183,186,189,193,194,196,199,201,202,201,198,179,156,141,119,109,157,139,108,98,90,91,177,215,214,215,214,180,183,187,189,194,195,197,200,201,196,204,196,169,146,122,104,112,144,121,109,99,89,128,205,212,213,214,214,181,184,188,191,194,196,199,201,201,197,212,195,170,151,126,119,120,139,114,109,96,96,178,213,213,214,214,214,182,184,188,191,195,197,199,201,200,200,212,201,180,162,133,123,130,130,114,105,86,135,208,213,214,214,215,216
7,175,177,179,180,182,183,184,185,185,185,186,186,187,187,188,187,186,186,186,186,186,186,184,183,183,182,180,179,177,179,181,182,184,184,186,188,187,187,187,188,188,188,188,189,188,188,188,188,188,188,186,186,184,183,182,181,179,181,182,183,185,186,187,188,189,189,189,189,189,188,189,189,189,189,189,189,189,189,188,188,187,185,184,182,179,182,183,184,186,188,187,189,190,190,190,191,191,190,191,192,191,191,191,191,190,190,190,189,188,187,185,185,181,182,184,186,187,189,190,190,192,191,191,192,192,193,193,194,194,193,192,193,192,192,192,191,189,188,187,186,182,184,186,187,188,190,192,192,192,194,194,194,194,195,194,194,195,194,194,194,194,193,192,191,190,189,189,188,183,186,188,190,191,192,192,193,194,194,195,195,196,196,195,195,195,196,196,195,196,194,194,193,192,192,191,189,184,187,190,191,192,193,193,195,196,196,196,196,196,197,197,197,197,198,197,197,196,196,195,194,194,194,192,190,187,189,190,192,193,194,195,197,197,197,199,199,197,198,199,199,199,199,199,198,198,197,196,195,194,194,194,192,187,189,191,194,195,196,196,196,200,200,192,196,199,199,198,199,200,201,201,200,198,198,195,195,197,195,195,194,188,191,193,194,194,196,200,205,210,206,178,165,182,193,192,191,193,196,192,195,190,195,184,214,201,191,197,194,189,191,192,196,201,206,208,209,210,209,196,157,158,176,182,182,180,174,176,179,178,182,173,179,168,194,198,196,189,196,204,209,210,208,206,202,197,195,185,156,148,157,171,179,180,181,177,170,173,174,164,170,167,189,198,194,207,211,210,210,205,201,196,187,184,195,196,164,143,140,143,152,162,167,159,164,169,170,167,178,172,178,175,184,216,209,206,200,194,191,188,188,192,199,196,166,147,152,151,146,137,126,153,160,158,158,155,156,163,163,171,197,213,206,199,190,184,181,182,182,189,194,178,154,140,144,157,162,154,138,163,213,204,201,201,201,199,202,204,203,209,205,199,189,182,182,182,178,179,190,187,158,132,131,143,146,149,139,150,212,206,207,206,205,205,205,203,202,206,204,200,193,187,185,187,186,184,194,196,165,147,153,152,146,144,123,193,213,207,208,206,206,205,205,205,203,201,198,196,195,193,189,187,185,185,189,188,167,155,162,159,154,141,161,217,208,208,207,207,207,207,206,206,204,191,189,191,194,194,191,185,182,182,176,162,152,138,135,142,147,130,200,210,209,209,208,207,208,206,205,205,209,129,139,162,187,192,184,176,167,157,149,145,144,101,97,116,131,152,214,210,210,210,209,207,207,208,212,209,161,70,71,83,109,145,158,149,155,163,183,201,211,143,114,137,156,202,213,211,211,211,210,209,214,200,184,158,115,70,66,62,61,62,89,190,207,213,215,212,215,204,185,204,214,214,212,212,212,211,214,213,178,133,119,107,101,64,61,60,62,46,106,224,207,210,210,211,212,213,216,213,211,212,212,211,211,214,198,139,108,115,113,105,97,60,58,55,56,42,99,223,208,211,211,212,212,212,211,212,213,213,212,211,215,217,144,101,85,97,100,95,94,58,58,57,60,35,93,219,203,209,210,211,212,213,213,214,215,216,215,217,203,140,123,109,82,77,93,90,87,65,65,61,52,31,69,146,140,143,146,148,150,153,155,156,158,159,158,166,145,90,113,107,75,71,80,83,81,73,68,56,38,35,65,124,119,118,119,120,121,121,122,123,122,121,125,138,124,83,107,102,72,67,74,77,78
8,186,186,186,186,187,186,186,187,187,188,187,186,186,186,186,185,185,185,186,185,184,184,181,181,181,184,167,70,186,187,189,189,189,188,188,189,189,187,185,189,187,188,189,188,187,187,187,186,186,185,183,183,184,183,182,132,189,191,191,190,190,191,189,190,192,194,141,179,194,191,192,191,191,190,189,189,188,187,185,184,184,184,185,108,190,192,192,191,192,191,192,190,196,195,115,174,197,192,192,192,192,191,191,190,190,188,188,186,186,187,178,124,191,192,193,192,192,192,194,190,206,176,101,187,197,194,193,194,194,193,193,192,191,190,190,189,189,188,184,157,193,193,194,195,194,193,194,192,216,159,100,201,196,195,195,197,195,193,194,194,193,191,191,191,190,189,186,187,193,194,196,196,196,197,195,198,220,149,115,205,196,197,198,198,196,196,195,194,193,193,193,192,191,191,189,189,195,195,197,198,197,198,196,206,213,122,138,207,197,203,199,198,202,197,197,197,195,196,192,193,193,191,190,188,197,198,198,197,199,200,195,212,202,118,145,214,179,174,202,192,185,202,202,203,199,196,197,193,195,192,192,193,198,199,199,199,199,199,197,217,198,128,150,235,181,127,174,187,131,154,180,175,190,152,158,202,194,196,195,194,199,200,200,199,201,200,199,219,200,133,191,239,203,145,139,181,150,98,121,138,180,123,110,207,195,197,195,193,200,200,200,200,202,200,204,217,196,145,221,240,216,161,113,175,147,120,165,140,198,125,106,208,196,196,196,195,200,200,200,201,202,200,211,204,190,176,205,237,223,168,101,164,131,156,180,142,202,158,114,203,199,197,198,196,201,201,201,201,202,204,209,179,194,198,174,212,225,173,97,137,132,174,160,139,194,182,135,164,208,198,199,197,200,200,200,201,201,208,208,153,188,185,170,193,228,181,98,99,138,179,146,109,188,184,129,116,211,198,199,198,199,199,201,201,198,212,209,141,151,167,147,167,221,176,90,81,133,171,126,103,193,168,102,143,210,199,200,199,200,200,201,201,199,220,224,141,127,133,126,127,199,186,102,72,138,186,114,131,182,128,94,196,201,199,198,198,200,201,201,201,204,228,230,160,114,129,121,124,172,197,138,53,130,151,112,160,135,86,136,210,197,199,198,198,200,201,201,200,207,228,229,181,108,117,120,116,157,169,106,93,177,157,171,172,107,85,194,203,199,200,200,199,200,201,202,201,211,228,228,191,109,120,131,120,178,187,160,192,190,166,153,160,96,106,212,200,202,202,199,199,199,200,201,200,212,229,230,193,114,130,128,148,208,214,216,201,183,168,129,125,84,138,214,200,203,203,200,199,206,208,209,207,213,226,227,183,131,147,127,192,222,218,216,204,183,155,120,89,90,198,206,203,203,202,202,200,143,145,149,144,192,233,225,188,157,153,131,201,226,229,216,198,174,138,105,72,142,216,206,206,199,198,201,203,86,86,89,73,149,238,222,201,164,161,141,190,233,232,199,182,157,117,93,79,110,121,118,131,163,199,210,205,99,97,100,89,128,233,220,199,165,164,145,190,235,216,186,162,134,100,87,78,84,111,150,190,206,205,206,202,97,96,98,88,126,229,207,185,162,159,147,205,222,195,170,135,114,85,86,142,173,206,215,214,215,207,193,193,96,96,102,87,147,224,197,180,165,157,160,199,197,182,147,116,107,66,144,241,219,190,182,188,196,208,203,191,96,95,100,86,170,220,193,179,169,160,169,185,181,170,131,110,100,96,187,192,218,213,185,173,181,183,178,183
18,141,142,143,143,143,144,145,145,145,145,145,144,143,142,142,142,141,141,140,140,138,137,137,136,134,134,133,132,143,143,144,144,145,146,146,147,146,147,146,145,144,143,142,142,142,142,142,140,139,139,137,137,135,135,134,133,143,144,145,145,146,147,147,147,147,147,148,147,146,147,149,146,144,146,147,146,140,140,140,138,136,135,134,133,144,145,146,146,148,148,148,149,149,149,148,148,149,139,119,139,149,127,105,119,147,142,133,139,140,136,135,135,144,146,148,148,149,149,150,150,150,150,151,152,152,124,88,82,122,117,88,61,118,120,92,86,128,140,137,137,145,146,149,149,149,150,151,151,151,146,122,124,148,129,104,79,85,143,95,78,64,97,93,62,77,145,137,138,147,148,149,151,150,151,152,150,154,147,114,98,102,139,111,89,73,133,102,88,82,79,88,77,51,126,142,136,149,150,150,151,152,152,152,153,156,151,134,121,92,107,127,92,70,97,113,99,94,87,101,89,49,120,145,138,149,150,151,151,152,154,154,154,154,140,146,120,107,76,113,99,77,74,116,108,98,97,96,83,49,124,145,140,150,150,151,151,152,154,154,155,161,121,119,122,97,56,92,105,76,62,103,97,94,93,94,85,48,114,148,140,150,150,151,153,154,155,155,157,154,103,81,123,76,48,77,86,60,51,89,68,80,118,113,90,54,100,151,141,150,151,153,154,155,155,155,159,151,120,95,113,76,51,69,69,53,45,69,53,62,136,119,97,61,85,152,141,151,153,153,154,155,156,155,160,156,139,108,101,91,59,66,78,57,43,68,55,45,115,126,105,72,67,150,143,153,153,154,155,155,156,155,160,156,130,105,85,75,49,68,84,55,43,62,89,120,120,139,115,81,53,139,146,153,154,155,156,156,157,156,161,144,114,97,81,63,52,54,59,49,55,85,133,139,127,124,113,79,48,128,150,154,154,156,156,156,158,158,160,153,134,113,93,74,70,66,64,82,106,133,142,135,130,110,95,71,47,134,149,154,154,155,156,157,159,158,160,157,141,119,94,74,70,76,90,111,131,148,147,130,117,102,80,56,63,151,146,154,155,155,157,159,160,160,160,159,145,125,102,85,79,79,88,126,143,152,143,122,109,94,74,41,98,156,145,156,156,157,158,159,159,160,160,157,148,129,110,94,87,82,97,141,148,148,136,116,101,89,65,44,136,152,147,155,157,158,158,160,160,161,159,154,145,128,111,100,93,87,105,148,143,139,129,113,95,83,53,67,156,149,149,155,158,158,159,160,160,161,159,148,138,129,115,104,103,92,111,143,140,131,117,106,91,76,41,102,159,148,149,156,158,159,159,159,161,161,162,149,139,132,119,109,111,96,115,137,136,127,107,97,83,65,43,138,153,149,149,157,158,159,161,162,163,163,164,156,137,132,125,116,109,93,112,134,128,121,104,86,75,46,74,160,149,151,150,158,159,160,161,162,162,163,164,161,143,137,130,119,107,93,100,125,120,109,93,76,64,37,128,158,152,151,150,158,159,161,162,162,162,163,164,164,153,141,131,122,114,102,98,112,113,100,84,71,44,71,162,153,153,152,151,158,159,161,162,162,164,163,163,163,159,148,134,121,111,104,99,106,107,94,79,62,36,130,160,154,153,152,152,160,160,161,161,162,164,163,163,163,161,151,131,120,117,115,111,104,102,88,75,46,76,163,154,155,154,154,152,160,161,161,162,162,163,164,165,161,160,151,135,131,128,118,110,98,98,83,66,42,122,163,156,155,155,154,153
19,180,181,183,185,186,187,188,189,190,190,190,191,191,190,190,189,190,189,189,188,187,188,188,185,185,185,183,182,181,183,184,186,188,189,189,190,192,193,192,192,193,192,192,191,191,191,190,190,189,189,189,188,186,187,185,185,183,185,187,189,190,190,192,193,194,194,194,194,193,194,194,194,193,192,192,192,191,190,190,190,188,188,186,186,184,186,188,189,191,192,194,193,195,194,195,195,195,195,195,194,195,193,194,193,191,191,190,190,190,190,188,187,184,187,188,190,191,193,194,195,196,197,196,197,197,197,196,195,196,195,194,193,193,193,192,192,190,190,189,188,186,188,190,191,192,194,196,197,198,199,199,199,199,198,197,197,196,197,195,195,195,194,194,193,192,192,191,189,188,189,192,193,194,195,196,198,199,199,200,200,199,198,199,194,202,198,196,197,196,195,194,194,194,193,192,191,189,190,193,195,194,196,198,199,201,201,200,202,206,201,212,182,153,202,197,196,197,197,197,195,194,193,193,193,190,191,193,196,197,199,200,201,201,203,204,181,165,186,216,201,114,167,208,204,201,201,200,198,196,197,196,194,190,192,195,196,199,200,201,201,202,201,192,163,128,131,146,157,141,129,150,159,182,186,190,192,195,190,186,192,191,194,196,199,200,200,202,204,201,191,188,194,188,144,98,120,143,135,133,120,128,144,151,139,159,143,148,188,193,195,197,199,200,201,200,197,183,188,201,203,174,123,95,90,110,121,129,120,123,139,143,140,144,146,142,177,193,195,198,200,202,200,198,190,186,189,192,193,176,138,95,89,88,92,95,92,96,103,111,112,111,115,120,135,194,195,198,200,200,198,198,195,192,183,191,198,199,167,110,87,92,82,101,133,150,152,151,150,158,161,171,186,195,197,199,201,200,198,197,196,194,192,198,201,197,169,113,87,92,80,151,221,210,210,208,210,210,208,206,203,196,197,197,200,198,200,198,199,200,196,195,194,188,174,127,87,89,90,95,201,208,204,203,202,203,203,201,202,193,195,204,204,203,200,201,202,202,195,189,199,196,186,142,91,87,94,76,141,218,204,205,206,205,204,203,203,196,217,219,208,202,203,204,201,195,193,197,203,198,171,134,99,85,97,78,119,219,205,207,207,206,205,204,203,216,223,213,204,199,201,197,194,192,191,185,185,177,151,128,107,92,94,82,171,218,207,207,207,208,207,205,204,222,218,205,200,199,197,194,193,187,184,177,173,167,151,127,110,104,95,72,175,219,209,208,208,207,207,206,205,219,215,207,196,191,192,188,190,188,182,176,169,163,169,131,108,108,96,89,200,215,210,210,209,207,207,207,206,216,212,203,192,181,182,181,181,186,178,170,153,150,164,119,102,113,94,113,223,209,210,211,210,209,208,208,207,212,208,195,180,170,167,170,169,175,165,148,128,129,120,83,101,116,87,150,220,210,211,210,210,210,209,208,207,204,196,179,167,159,144,148,153,158,141,122,119,115,88,96,108,103,159,217,214,212,211,212,211,210,210,208,208,203,177,172,165,143,127,118,127,131,120,109,103,90,86,103,131,180,220,213,213,212,212,212,212,211,211,210,208,174,163,174,161,134,110,104,104,106,96,125,176,166,169,192,212,219,213,213,213,212,212,212,211,210,209,208,207,126,165,170,149,122,92,74,75,118,166,207,222,221,220,218,214,213,214,214,213,213,213,212,210,209,208,208,207,80,118,115,90,71,56,45,44,193,227,213,214,214,214,214,214,214,214,215,214,214,213,212,211,210,209,208,208
4,183,184,185,186,188,188,188,187,188,188,189,189,189,189,189,189,189,188,188,189,189,189,189,188,187,187,187,186,185,186,187,188,189,190,189,189,190,190,190,190,190,184,178,181,185,178,174,183,189,190,191,190,189,188,188,188,187,188,188,189,191,192,191,191,192,190,187,186,189,185,169,157,159,161,155,153,170,189,193,192,191,190,190,190,189,189,189,191,192,193,193,194,193,191,181,168,162,178,184,154,122,125,144,128,121,173,194,193,193,193,193,192,191,191,191,193,193,194,193,190,191,197,192,167,133,133,174,155,111,84,111,118,96,153,195,195,195,195,195,194,193,194,194,195,194,193,189,168,153,167,178,177,135,101,142,155,115,74,84,114,97,145,195,198,196,196,196,195,195,196,196,196,196,196,189,157,113,105,134,177,155,99,107,158,141,88,76,123,112,145,196,200,199,198,198,197,196,196,196,197,196,185,172,158,118,81,90,163,175,113,91,156,162,106,76,120,124,154,198,201,200,199,199,199,197,197,198,198,196,180,147,148,142,99,71,132,165,117,87,133,155,111,73,95,110,150,198,202,202,201,201,201,198,199,200,200,199,184,142,133,145,112,78,99,118,102,87,101,118,96,72,84,90,116,184,203,203,203,202,202,200,200,200,201,202,194,171,149,132,104,81,88,94,96,100,102,100,87,86,108,111,107,155,200,204,203,203,202,201,201,202,202,204,201,181,154,127,103,92,96,99,105,116,117,115,104,115,144,144,127,127,181,205,205,205,204,201,202,203,204,206,202,176,148,125,108,105,109,116,130,139,150,161,158,146,156,156,132,104,144,200,206,206,205,202,203,204,204,206,200,173,141,121,107,112,123,136,158,171,181,193,192,179,166,147,115,88,108,187,207,207,206,204,205,206,205,206,205,183,152,127,115,120,131,148,182,187,190,196,193,183,165,138,106,82,97,179,208,207,207,205,206,207,207,207,208,194,164,136,120,122,135,159,192,192,195,196,192,179,161,136,104,82,111,190,209,208,208,205,207,208,208,207,208,201,177,148,126,125,140,163,194,198,203,203,194,179,159,131,100,85,143,204,211,211,210,206,207,208,208,208,208,207,189,160,134,134,149,161,193,204,210,210,201,183,154,121,95,97,175,212,213,212,211,207,208,209,209,209,208,208,198,169,143,144,158,165,192,207,215,217,210,183,146,113,89,120,198,214,214,212,212,208,209,210,210,210,207,204,202,179,150,150,161,170,194,208,218,218,205,172,136,107,89,151,210,215,214,213,213,208,210,211,211,211,205,198,199,186,159,153,160,172,196,208,214,209,186,153,125,100,101,181,215,215,215,214,214,209,210,211,212,212,205,194,198,192,171,157,159,170,192,204,201,190,165,137,112,92,129,203,216,216,215,215,214,208,209,211,212,213,210,196,194,193,181,167,163,169,183,193,186,168,146,120,97,102,172,215,217,217,216,216,215,207,208,209,210,212,212,201,188,188,183,173,167,165,167,172,166,147,123,98,88,141,205,217,217,217,217,216,215,208,209,210,210,211,213,206,188,185,180,172,166,158,152,155,151,131,104,82,101,184,215,217,216,217,216,215,214,209,210,211,211,212,213,207,190,183,172,164,160,150,142,142,138,115,89,78,127,205,217,217,217,217,216,216,215,210,211,212,213,213,213,209,192,180,161,153,155,148,142,138,126,104,84,81,151,212,217,218,217,217,217,216,215,210,211,213,214,214,214,210,194,184,165,159,164,158,149,138,123,103,85,85,166,214,218,218,218,217,217,217,216
21,114,118,123,127,130,132,134,137,138,140,140,142,143,142,144,141,140,140,139,138,139,137,135,136,134,131,131,130,114,119,124,129,131,134,137,138,140,140,143,144,145,146,144,144,146,142,142,140,139,138,137,136,136,133,132,132,116,121,125,129,132,136,138,138,141,143,145,147,148,145,154,110,110,152,144,144,143,140,139,138,137,136,135,133,118,122,127,130,133,137,139,139,142,146,148,148,149,148,173,89,60,155,145,145,143,142,141,139,140,138,137,134,118,123,129,132,135,139,142,143,145,148,150,150,147,152,168,89,74,155,146,147,145,142,144,144,142,139,139,139,120,124,129,135,137,139,143,145,147,149,150,151,147,160,167,85,78,158,147,148,146,115,84,144,144,142,141,140,123,128,131,136,139,141,145,147,148,149,150,153,150,166,166,86,86,160,148,148,142,98,51,140,146,144,142,141,123,128,132,137,142,144,147,148,149,151,153,155,153,168,161,88,89,161,149,149,138,88,69,153,146,146,144,142,122,127,133,137,141,144,147,149,151,154,155,156,152,172,157,86,83,164,151,147,131,71,95,159,148,148,146,143,123,129,134,139,142,146,148,150,153,155,156,157,153,178,158,84,79,164,152,145,125,64,129,156,149,149,147,146,126,131,136,142,144,147,149,151,154,156,157,159,155,188,159,76,94,167,145,138,102,69,155,153,151,150,149,147,127,132,137,141,145,148,150,153,156,156,156,155,163,184,138,63,109,165,140,138,68,91,163,153,151,151,151,149,128,134,138,141,145,149,151,154,155,164,138,101,129,159,101,47,115,162,149,123,55,134,161,154,152,152,151,150,127,135,139,143,147,150,152,156,155,167,136,80,69,63,59,40,124,157,149,91,70,162,157,156,155,154,153,151,128,134,139,143,148,151,154,156,162,159,152,130,106,57,34,61,108,127,122,59,109,170,156,157,157,155,154,153,131,137,141,145,149,152,157,155,177,183,170,187,147,93,35,51,68,86,80,52,147,165,158,159,158,157,156,155,132,136,141,147,150,154,155,167,160,158,166,182,135,73,45,39,53,62,52,77,170,162,162,162,160,159,158,156,132,137,142,148,151,155,154,177,128,116,151,122,128,85,55,42,37,51,39,113,176,162,163,162,161,161,158,157,132,137,143,148,153,157,156,181,157,121,89,57,137,114,66,47,36,42,40,137,174,164,164,164,163,161,159,160,133,138,144,150,153,156,160,181,142,92,66,40,110,135,86,56,45,42,34,137,175,165,165,165,164,163,160,160,134,139,145,150,155,155,166,183,132,114,110,73,142,155,106,84,52,47,34,135,178,165,165,166,165,165,162,160,133,140,145,151,156,154,175,186,144,137,97,120,206,157,112,101,60,50,42,143,178,168,168,167,165,165,164,163,134,140,146,152,157,155,177,188,168,125,105,188,194,141,104,98,68,54,47,148,178,170,169,167,167,166,165,164,135,141,147,153,158,156,176,203,169,117,128,196,175,137,99,85,72,55,59,162,177,171,171,170,169,167,166,165,133,140,147,152,157,156,176,193,139,134,131,193,170,142,121,75,64,55,72,173,173,171,171,171,168,167,167,166,131,139,146,149,153,154,170,169,136,162,121,190,171,132,119,81,61,53,90,178,170,171,170,170,167,165,165,164,132,139,146,151,154,156,165,160,175,170,127,185,154,118,96,74,65,52,105,180,171,173,170,169,168,166,166,165,132,139,147,151,155,158,161,165,178,153,120,168,139,104,75,63,61,49,123,181,172,174,172,170,169,166,167,165
21,119,121,128,134,140,145,148,151,155,158,163,164,167,170,172,172,173,175,175,175,177,177,177,176,177,178,178,178,121,124,131,137,143,147,150,153,158,162,164,167,170,173,174,174,180,178,179,179,179,179,178,180,181,181,180,180,122,125,133,140,144,150,153,157,160,164,166,169,172,175,181,158,139,183,180,182,181,184,187,184,184,185,184,184,124,128,135,141,147,152,156,159,162,165,169,173,176,178,187,167,87,175,186,183,186,172,160,190,187,186,187,187,127,130,138,145,149,154,158,161,164,167,171,175,179,178,188,178,94,153,194,185,189,177,102,167,196,189,189,188,129,132,140,148,152,156,159,163,167,171,174,177,182,181,190,181,103,129,198,185,191,186,110,134,202,190,191,190,130,135,142,149,154,158,162,166,169,173,177,180,183,185,189,184,121,115,196,190,193,183,118,117,202,191,192,192,131,137,144,151,156,159,164,167,171,175,179,183,185,187,188,197,153,108,185,195,194,186,125,108,200,195,195,195,133,138,146,153,159,162,166,169,173,176,180,184,187,189,188,202,165,108,166,201,194,193,147,105,198,198,198,197,134,140,148,155,160,164,167,171,175,179,182,185,187,191,192,208,172,115,144,206,195,194,156,101,190,202,200,201,135,141,150,156,161,164,169,173,176,180,183,187,188,189,183,214,194,141,132,205,199,193,163,101,183,205,200,202,136,143,151,157,162,166,170,173,178,181,185,188,190,185,168,174,213,170,130,198,201,203,182,109,180,207,201,202,137,143,152,158,163,168,172,176,179,184,187,189,202,221,207,167,159,155,123,192,205,203,186,110,178,209,202,202,138,145,154,159,165,170,174,177,180,184,187,191,196,190,202,195,153,106,92,168,203,189,179,108,175,212,203,204,139,145,154,160,166,171,173,177,182,186,189,193,192,171,150,140,164,130,120,117,136,161,164,106,170,217,204,207,141,148,156,161,167,172,176,179,183,187,191,193,200,209,185,127,124,170,173,162,119,101,140,99,161,218,205,207,142,150,157,163,168,172,177,181,184,188,192,197,186,175,194,151,78,121,184,179,137,78,99,87,161,219,207,208,142,151,158,163,168,172,176,180,184,189,192,197,187,109,145,164,95,53,116,168,150,113,76,68,153,220,207,210,143,152,160,165,169,173,177,181,185,190,194,198,184,153,130,150,132,96,33,127,177,144,94,58,127,223,209,211,142,150,158,165,169,173,178,182,185,190,194,197,201,185,123,98,132,114,53,83,180,170,127,77,99,220,211,212,141,150,157,163,167,172,178,181,185,190,193,195,209,179,145,118,87,78,88,123,177,192,146,111,87,204,215,213,144,151,158,164,169,172,177,183,186,190,195,195,212,204,177,118,94,103,129,198,198,177,146,116,84,197,216,212,144,152,159,165,170,173,179,183,186,191,196,196,211,205,161,111,117,128,156,223,200,167,126,101,81,199,216,212,144,152,160,164,170,175,180,183,186,191,194,195,207,203,155,141,134,120,173,225,189,157,119,89,82,202,216,213,143,152,160,164,169,174,178,182,186,190,193,194,202,198,174,148,126,121,181,221,185,150,113,89,86,206,215,214,146,155,162,169,174,179,183,187,192,196,199,200,201,194,178,135,134,133,175,211,181,149,107,84,90,208,213,213,117,121,128,135,138,144,150,157,163,170,174,177,184,191,179,139,159,137,162,197,162,132,101,78,101,221,216,218,89,90,89,89,90,92,93,96,98,99,101,101,109,178,181,152,162,144,149,187,142,112,92,80,93,150,154,159
10,88,97,113,135,144,152,157,159,161,164,166,168,168,169,170,170,168,168,167,165,165,164,160,159,158,157,154,151,89,98,115,137,146,154,158,161,164,166,168,170,170,171,171,172,172,171,169,169,154,152,164,162,160,157,156,153,89,100,116,137,148,156,160,163,165,168,171,172,173,174,174,174,174,174,172,176,139,105,167,164,163,160,157,155,91,102,118,140,150,157,163,165,166,170,173,174,174,176,177,176,176,176,174,179,140,95,163,167,165,163,160,158,94,103,120,140,151,158,164,167,168,171,175,176,177,178,179,179,179,178,177,181,137,91,160,171,168,166,163,161,94,104,122,143,153,161,167,168,170,174,176,177,180,180,181,182,182,181,180,183,137,91,161,174,171,169,167,164,96,105,123,144,154,163,168,170,171,176,179,180,181,182,183,185,183,183,181,188,144,93,160,176,172,172,169,166,97,106,124,144,156,163,168,170,173,178,181,181,182,184,185,186,186,185,184,188,138,88,160,178,174,172,170,167,97,106,125,145,156,164,169,171,174,179,182,183,185,186,186,187,188,188,188,170,105,82,163,180,176,175,172,169,99,107,127,146,157,164,170,172,175,180,183,185,186,187,188,188,185,176,189,150,78,88,172,182,179,176,173,170,100,108,128,146,157,165,170,174,176,181,185,186,187,189,191,192,181,148,135,121,79,75,177,182,180,177,174,171,100,110,129,146,158,166,172,174,178,183,186,187,189,188,174,181,188,171,126,78,78,69,162,184,180,178,175,173,101,111,131,147,159,167,172,175,179,184,187,189,192,185,141,115,111,137,93,68,80,66,126,190,182,180,177,175,102,111,132,147,159,168,173,176,179,184,188,186,177,189,159,119,47,52,51,93,95,65,114,191,183,180,179,176,103,112,132,148,161,169,174,177,180,184,189,176,136,143,178,134,66,45,51,117,135,78,104,191,184,182,180,177,102,112,134,148,160,168,175,178,182,185,191,183,163,125,161,142,92,44,57,119,156,95,93,190,186,183,180,178,103,112,134,149,161,169,175,179,182,187,190,166,169,139,130,141,97,45,73,140,158,103,77,183,187,183,181,178,103,112,134,149,161,169,175,179,183,187,194,165,136,126,90,132,108,68,106,156,142,98,74,181,188,185,182,179,103,112,135,150,161,169,176,179,183,188,192,168,131,114,94,124,146,101,125,159,115,81,84,190,190,186,182,180,103,113,136,150,161,169,176,179,183,188,190,190,160,116,109,111,146,105,128,147,106,67,100,195,188,186,184,181,103,114,136,149,161,170,178,180,184,188,187,192,174,141,115,104,149,149,147,130,101,60,118,198,189,186,185,183,101,113,136,148,160,170,176,178,182,187,188,183,173,153,131,118,163,179,149,119,94,57,138,196,189,185,182,181,100,111,134,146,159,168,174,177,181,186,189,175,165,156,144,130,157,171,140,108,85,53,160,193,188,184,181,180,99,109,133,145,158,167,174,176,182,186,189,187,166,160,149,130,145,156,128,96,69,64,183,189,186,185,182,180,97,108,132,143,157,166,173,176,181,185,188,192,176,157,142,125,124,135,113,85,56,109,196,189,186,184,182,181,107,118,138,149,159,168,174,177,181,184,188,190,190,164,137,121,116,126,116,85,56,154,189,183,181,177,175,173,135,138,142,142,137,136,136,135,135,134,133,130,142,172,144,139,130,126,119,82,60,104,109,106,104,103,102,94,103,102,102,102,102,102,103,104,104,103,102,102,113,176,160,152,134,125,106,78,60,89,91,90,87,80,49,30
18,85,91,95,101,109,115,122,129,133,134,136,138,143,146,149,151,155,156,158,159,160,161,163,164,165,166,168,171,88,92,95,102,109,117,123,129,133,135,137,139,145,142,144,152,154,154,157,161,162,163,164,165,165,167,169,171,89,93,96,103,110,118,125,129,134,135,134,152,159,125,112,141,165,145,124,149,164,164,165,166,167,169,170,172,88,93,98,105,113,118,123,138,162,130,119,170,157,136,125,159,177,139,105,96,147,167,167,167,170,172,172,173,89,94,98,106,113,120,121,175,181,135,123,179,150,150,154,164,150,130,120,92,101,165,167,168,170,172,174,175,90,95,97,105,129,139,121,180,178,146,138,158,146,143,144,144,122,132,130,115,87,141,170,171,172,174,175,176,91,95,99,110,185,161,126,127,183,155,142,113,134,120,119,110,113,144,139,130,104,100,165,172,173,174,176,178,92,96,96,140,204,177,150,119,161,170,138,98,134,128,94,67,126,153,152,147,125,91,119,172,175,176,178,179,92,96,96,164,183,186,171,131,116,166,138,101,109,151,113,61,98,148,159,163,136,107,87,139,178,177,177,179,92,96,99,166,143,174,164,126,87,127,128,95,77,119,101,65,90,155,177,170,141,113,94,97,173,176,178,179,92,96,105,177,137,142,130,97,73,82,95,79,54,73,72,127,174,174,167,160,137,116,98,92,169,180,180,181,92,94,113,192,163,152,123,81,62,61,77,67,35,55,137,192,185,171,156,137,121,107,94,108,177,180,181,182,93,94,128,193,161,142,123,86,57,55,79,64,40,121,199,201,185,165,145,119,102,95,87,136,181,181,182,183,93,92,140,211,179,156,134,102,72,69,77,73,113,191,205,200,180,154,134,111,94,86,90,164,181,182,183,184,93,93,136,221,194,177,159,133,116,116,110,128,181,205,205,190,167,142,121,104,89,80,112,179,181,183,184,185,94,95,132,223,203,183,161,141,135,136,137,171,201,202,195,174,153,131,114,98,87,81,143,181,182,184,185,186,95,96,127,220,206,184,165,152,150,149,159,185,197,194,176,158,141,122,106,96,86,90,168,181,183,185,186,186,95,97,118,211,207,190,174,165,161,161,171,183,186,181,156,142,127,113,99,92,80,116,178,181,183,185,186,186,94,99,107,193,209,199,188,176,165,162,166,172,167,163,145,128,116,105,95,89,83,155,181,181,182,185,186,187,94,99,104,166,211,207,202,187,167,153,144,150,148,146,136,117,105,98,91,79,111,177,182,182,183,186,187,188,95,100,106,134,204,203,199,188,165,145,134,134,138,140,131,112,100,94,87,76,146,180,181,182,184,185,187,188,95,101,108,116,177,192,179,172,158,139,130,130,131,136,132,115,101,94,79,92,171,179,182,183,186,186,188,189,95,100,109,114,143,188,170,155,143,129,131,132,121,130,129,112,97,91,73,118,178,180,182,184,186,187,188,189,94,99,110,119,126,171,156,145,141,134,146,142,120,122,127,112,96,87,71,133,181,181,183,185,186,188,188,189,93,100,111,119,122,155,159,153,154,144,144,143,121,113,121,112,98,86,66,122,182,181,183,185,186,188,188,189,90,99,109,117,122,143,176,167,161,145,137,139,123,107,113,108,96,88,69,101,178,180,182,184,185,187,188,188,91,99,108,117,124,135,189,181,167,148,134,136,126,107,102,104,97,88,74,80,171,180,182,184,185,186,188,188,91,99,108,117,124,132,189,188,168,147,131,132,129,104,99,104,95,87,77,73,161,180,183,184,185,187,187,188
24,169,172,173,174,175,176,176,177,177,177,178,179,178,179,179,178,178,178,178,177,177,175,174,173,105,22,7,0,173,175,176,177,178,179,180,180,180,180,181,182,181,181,181,181,181,181,181,181,180,179,177,178,97,7,15,17,175,176,179,180,181,182,182,183,183,183,184,184,184,184,184,183,183,184,184,184,183,182,179,186,126,18,26,35,176,179,181,181,183,184,184,185,186,187,186,187,187,188,187,188,188,188,187,187,185,184,181,183,174,43,25,27,179,181,182,184,185,186,188,187,188,189,188,189,189,189,189,190,190,189,188,188,188,187,185,181,189,104,17,15,181,183,184,186,188,187,189,190,190,190,190,190,191,191,191,191,192,193,192,191,190,190,189,186,191,159,25,6,183,185,187,187,188,190,191,191,191,192,192,191,193,193,194,193,195,195,193,193,193,190,191,191,187,194,52,0,183,186,189,188,194,193,191,192,194,195,194,194,195,196,196,195,196,197,195,196,196,193,193,192,189,198,129,105,185,188,189,193,163,189,196,195,196,195,195,196,197,196,197,197,197,197,197,197,197,196,195,195,191,199,136,156,187,189,190,197,129,141,205,193,197,197,197,197,197,198,199,198,199,199,198,197,198,198,197,196,194,199,147,183,189,190,192,194,145,90,193,197,197,198,197,197,198,199,198,199,200,200,201,204,199,199,197,197,196,196,183,157,190,191,194,197,173,88,139,210,196,199,199,199,200,203,201,201,205,209,185,177,204,199,199,199,198,198,203,152,190,193,195,197,187,138,88,189,205,199,201,203,199,189,200,206,169,205,188,109,160,210,200,199,196,187,166,152,191,195,196,196,198,176,106,111,205,202,199,204,207,157,164,215,127,124,204,120,117,212,201,198,199,171,116,93,191,195,196,196,199,189,157,117,141,208,199,206,224,191,148,176,157,105,199,140,122,210,200,203,207,139,87,107,190,193,195,194,197,197,178,149,123,160,203,203,220,223,163,127,188,114,174,156,129,213,193,213,182,89,143,206,191,193,195,196,196,198,192,168,152,169,175,186,178,225,186,111,159,137,161,177,110,165,175,205,132,104,205,195,191,193,196,198,197,198,200,195,197,193,162,151,137,179,200,125,101,146,156,191,98,102,183,172,100,174,204,195,189,193,195,195,196,197,199,202,215,181,151,129,103,115,190,139,74,160,146,205,122,133,180,125,120,209,197,198,197,201,204,204,205,205,208,206,213,212,181,133,111,122,152,158,84,157,158,123,146,169,161,90,150,209,197,199,137,143,145,150,155,160,164,168,171,218,220,192,130,112,141,163,114,123,182,119,210,167,136,99,203,213,206,201,76,77,77,80,80,78,82,83,71,194,232,222,197,124,129,177,166,146,185,204,192,138,121,93,125,122,134,161,88,87,88,89,88,87,88,92,75,147,238,209,220,168,127,141,217,232,235,215,163,127,102,87,114,152,179,203,88,85,85,85,86,89,87,89,86,98,210,206,221,200,151,129,165,229,222,186,153,108,97,196,218,212,208,213,86,85,85,84,85,87,87,88,92,81,141,223,226,210,164,138,140,205,203,169,144,88,128,190,182,202,199,198,84,86,87,84,85,86,86,88,90,88,86,202,208,183,144,125,134,168,177,148,110,83,182,181,151,170,187,188,83,83,85,85,87,87,85,86,88,91,76,164,200,150,144,137,138,154,161,132,87,97,174,196,139,126,159,184,84,84,84,84,86,90,84,84,86,89,78,137,208,176,176,161,149,155,158,122,76,107,167,190,153,113,152,171
16,166,174,180,181,186,193,199,203,207,212,218,220,224,226,228,232,233,236,238,240,241,243,245,246,246,245,246,247,168,176,180,181,187,193,200,205,208,213,219,222,225,229,230,232,236,237,239,242,244,245,248,248,247,246,248,249,172,179,180,183,188,195,201,206,211,216,221,224,228,231,233,235,237,240,242,244,247,247,248,250,249,250,251,251,171,179,182,185,190,196,203,209,213,219,223,226,230,233,236,238,240,242,245,246,247,248,249,250,252,253,254,255,173,180,183,187,193,200,205,211,214,220,224,224,231,235,235,238,242,242,246,248,248,248,251,251,253,255,255,255,176,183,185,188,194,201,206,212,217,223,222,236,234,233,250,237,237,251,248,247,249,249,252,254,255,255,255,255,179,185,187,190,196,202,209,215,220,220,237,255,255,255,255,245,210,213,250,255,253,253,254,255,255,255,255,255,179,187,188,191,198,204,210,218,211,255,255,255,255,255,255,247,214,170,162,210,250,255,255,255,255,255,255,255,180,188,189,192,199,206,212,213,245,255,255,255,255,255,255,232,184,170,143,136,157,207,255,255,255,255,255,255,183,189,191,194,202,210,208,246,255,255,255,255,255,255,242,200,168,174,144,151,139,134,173,255,255,255,255,255,182,188,191,194,202,211,205,255,255,255,255,255,255,227,196,162,164,161,149,161,147,143,130,158,255,255,255,255,182,188,191,195,203,212,209,255,255,255,255,255,238,188,156,155,136,162,159,167,154,146,143,128,167,255,255,255,184,191,193,197,205,214,212,255,255,255,250,228,188,156,143,109,85,169,162,164,157,150,140,143,130,186,255,255,186,193,195,200,207,216,210,255,255,255,250,192,144,122,65,36,84,164,160,169,155,147,143,147,131,44,128,255,188,194,195,200,207,218,210,255,255,255,246,164,132,81,23,28,84,164,171,178,152,143,145,144,78,35,147,255,189,194,196,200,208,216,213,252,255,255,220,144,111,74,42,65,86,136,196,170,150,142,147,92,49,33,208,255,189,194,197,201,209,217,219,236,255,255,191,134,123,125,94,107,106,151,226,145,147,148,104,33,56,37,246,255,190,196,197,201,209,218,219,238,255,237,156,145,150,137,129,121,109,235,212,141,149,102,18,41,49,53,255,255,192,197,198,202,211,220,218,255,255,205,156,161,151,148,152,108,193,255,190,151,106,29,37,57,31,78,255,255,194,197,198,204,213,223,216,255,255,173,191,141,91,117,118,128,255,255,188,135,69,47,56,43,25,113,255,255,194,198,199,205,213,223,215,255,255,141,223,136,104,113,92,151,255,255,210,103,64,51,38,42,24,178,255,255,192,196,199,205,213,218,230,255,194,162,242,133,131,140,117,136,255,255,224,86,53,45,35,47,27,210,255,255,191,195,197,203,214,216,235,226,169,238,223,134,144,147,144,123,234,255,227,94,35,40,42,50,32,204,255,255,193,197,199,204,215,221,225,226,236,251,208,138,152,154,153,122,110,196,157,52,33,41,45,52,36,212,255,255,194,197,199,205,214,222,227,233,234,251,198,143,150,150,124,79,44,41,43,39,44,44,45,51,36,220,255,255,194,198,200,206,214,221,227,234,237,252,189,136,139,128,80,45,49,53,53,55,52,51,47,51,30,155,255,255,195,199,201,206,215,222,230,236,238,253,198,143,125,104,64,56,66,68,70,68,61,55,49,53,30,159,255,255,194,199,203,207,215,223,230,235,241,243,175,146,129,109,82,72,79,78,79,75,67,60,52,56,30,189,255,255
4,82,89,104,116,122,128,132,136,139,142,144,146,149,151,154,157,159,160,162,162,164,165,166,167,167,166,167,168,83,91,106,117,124,130,133,137,141,143,145,148,149,152,155,157,159,162,163,164,165,166,167,168,169,168,169,169,84,93,108,118,124,130,134,139,142,144,145,147,150,155,162,156,144,150,159,152,158,169,169,169,171,171,171,172,85,93,110,119,125,130,135,140,143,145,158,161,148,149,181,161,117,96,136,121,105,160,172,170,172,172,172,172,86,96,112,120,127,132,136,140,149,152,151,171,166,126,141,150,105,71,101,113,81,129,175,172,173,174,174,173,86,98,114,121,128,133,137,141,172,170,146,131,133,110,100,132,97,68,112,116,75,116,176,173,174,175,175,175,87,100,115,122,129,134,137,153,184,180,157,126,87,82,92,150,106,82,138,107,63,124,177,175,176,177,177,178,88,102,116,123,130,134,136,167,168,151,150,106,74,68,84,139,120,140,146,112,71,138,178,176,177,178,179,179,89,104,117,123,130,135,137,174,152,135,143,88,63,73,66,108,138,155,137,132,107,133,176,178,178,179,180,181,91,105,118,124,131,136,142,185,161,144,133,92,56,100,124,137,141,132,128,147,132,117,145,180,181,180,181,181,93,108,119,126,131,135,150,187,152,128,116,89,45,102,133,124,118,97,123,158,152,138,112,149,182,181,182,183,94,110,120,126,132,135,158,181,143,116,97,70,44,51,78,86,81,82,121,151,162,149,120,103,160,184,184,184,96,111,120,127,133,135,174,188,153,127,108,84,59,49,57,67,104,158,162,159,154,139,127,98,120,184,184,185,97,112,121,128,134,136,188,187,156,140,114,87,71,70,102,143,173,184,171,158,139,114,111,95,119,185,185,187,98,113,121,128,134,139,197,190,170,147,115,97,84,98,154,181,190,188,171,148,127,101,92,90,153,186,187,187,98,114,122,128,133,143,204,194,173,143,117,108,94,131,175,182,189,183,162,137,115,94,81,110,182,186,187,188,101,114,123,129,134,142,201,194,169,142,127,123,113,151,175,179,183,174,151,126,107,88,81,153,189,187,188,189,103,116,123,130,136,144,199,192,167,153,147,136,133,161,173,179,172,157,137,116,100,83,110,183,188,188,189,190,103,116,123,130,136,142,189,191,178,168,157,140,142,163,170,170,156,140,124,106,91,83,158,189,188,189,190,191,105,116,122,131,137,140,177,195,188,175,157,137,128,149,157,154,140,126,113,98,81,117,185,189,189,190,192,192,107,117,122,131,138,141,165,194,180,169,153,131,119,136,145,141,127,114,103,88,89,167,189,191,191,192,192,193,108,118,123,131,138,142,155,188,170,155,143,124,124,134,144,139,123,107,95,80,136,188,189,191,192,193,193,193,110,117,124,132,139,143,151,179,158,148,137,128,139,131,131,132,115,98,83,97,178,190,190,191,193,194,194,194,110,118,126,133,139,144,152,180,161,154,144,146,148,130,119,121,107,91,78,141,189,189,189,191,194,194,195,195,110,118,127,134,140,145,175,178,172,159,151,148,139,125,110,110,101,88,79,166,190,189,190,193,194,194,195,196,112,118,126,134,138,162,188,175,156,154,154,145,129,118,103,99,92,83,76,167,191,189,192,194,195,195,195,196,113,118,127,134,145,188,183,183,161,120,139,136,123,112,92,90,87,79,76,168,190,192,193,194,195,196,196,197,114,119,128,133,164,190,179,181,186,143,99,116,117,107,85,86,84,75,73,165,190,193,194,195,196,196,196,197
16,81,82,83,83,85,96,108,118,128,136,144,150,152,154,157,161,166,171,175,179,182,185,187,190,193,195,197,200,80,81,83,83,85,97,108,119,128,136,144,150,152,153,156,160,165,171,175,180,182,185,188,191,194,195,198,200,80,80,82,82,84,96,108,119,126,136,144,149,151,151,155,159,164,169,174,178,181,184,186,190,193,196,198,199,79,79,82,82,85,97,107,118,128,137,144,148,152,153,152,158,165,169,174,178,181,184,186,190,194,195,198,200,79,79,81,82,86,97,108,118,127,134,142,147,166,168,143,131,147,167,175,177,180,184,188,190,194,196,198,201,79,79,80,80,85,96,107,117,125,146,155,170,185,168,142,120,103,113,146,174,182,185,188,191,194,196,199,200,78,78,79,79,83,95,106,113,146,191,185,185,174,148,129,121,104,87,83,113,154,176,186,191,194,196,198,199,78,79,79,79,83,94,104,123,187,191,175,165,155,137,119,105,101,93,80,78,87,108,134,161,185,197,198,200,76,77,78,77,82,91,111,181,191,164,153,145,133,121,104,94,95,100,87,83,79,77,79,90,119,163,192,202,74,76,77,76,80,89,144,190,162,146,135,122,109,98,91,89,85,105,95,92,85,78,74,73,76,92,130,175,74,73,74,73,81,130,158,155,140,130,113,99,90,83,85,76,77,102,104,108,90,82,74,71,73,74,76,95,115,111,111,110,141,175,148,134,124,107,92,84,75,78,77,57,78,104,111,112,95,87,75,72,70,72,74,72,110,113,112,120,193,183,148,119,97,88,80,69,66,74,59,44,88,106,113,115,100,91,79,75,70,70,73,72,108,110,104,148,198,171,131,98,73,69,61,56,62,56,32,39,91,105,112,125,114,103,86,78,69,69,71,70,114,112,125,186,178,148,105,77,60,61,48,37,32,24,16,27,87,101,118,139,131,113,97,73,67,69,69,66,115,111,163,173,144,114,81,63,56,55,33,17,12,10,11,18,75,101,126,147,123,117,104,69,65,66,66,64,112,138,180,150,108,80,65,58,58,56,39,15,8,8,9,11,53,97,141,138,104,116,102,66,64,62,64,63,118,176,167,121,81,59,56,60,64,65,63,45,16,17,21,22,31,116,154,118,93,105,86,64,64,62,63,60,151,166,127,86,69,80,68,67,70,71,69,61,43,44,43,35,68,156,140,99,84,83,68,62,61,61,60,58,171,125,87,61,88,103,85,88,81,78,73,64,57,56,51,49,135,156,120,86,71,64,59,61,60,59,61,64,131,89,62,77,103,93,89,88,84,78,73,65,58,55,47,90,170,146,101,71,60,56,56,58,56,60,65,66,93,68,79,108,113,107,104,91,80,74,76,64,63,73,83,147,178,145,84,59,55,58,59,58,59,63,64,64,98,97,109,113,116,115,114,112,105,101,105,101,104,111,113,178,184,149,80,47,53,63,62,61,61,63,64,65,114,113,113,113,114,115,115,116,115,116,115,116,116,116,116,180,187,153,91,58,91,79,72,68,67,68,67,67,113,112,112,113,115,114,114,115,114,115,116,116,116,116,112,158,171,139,86,97,133,95,83,81,80,78,72,68,113,113,112,113,115,114,113,114,115,116,115,116,117,118,114,128,145,113,82,108,147,130,99,90,92,92,84,73,113,113,112,113,114,114,113,113,114,114,114,114,117,116,115,116,120,99,93,110,133,160,131,115,110,108,98,87,113,113,113,113,114,114,114,114,114,114,115,115,117,117,117,116,117,114,114,113,119,173,154,136,126,118,108,96
19,157,159,160,162,165,165,165,166,166,165,166,166,165,165,165,164,164,163,162,162,161,161,160,158,157,156,156,156,159,158,161,163,164,165,167,167,166,166,166,167,166,166,167,166,165,164,164,163,162,159,159,160,158,157,158,156,159,160,162,163,164,167,169,168,168,168,167,167,166,166,168,167,165,165,165,165,164,161,162,162,160,159,159,158,159,161,163,165,165,166,168,168,168,169,169,168,166,168,168,167,166,166,165,165,165,163,163,161,161,160,159,158,161,163,163,166,167,168,168,170,171,168,168,170,172,167,169,169,168,168,166,165,166,166,165,163,161,160,160,159,162,167,165,167,170,171,172,170,173,176,154,128,154,175,169,171,170,169,167,167,167,167,166,165,162,162,161,160,164,166,168,170,170,172,172,173,173,208,184,144,93,154,177,170,171,169,168,169,168,167,167,165,164,163,162,161,165,165,168,170,171,172,174,177,167,197,213,172,110,78,173,172,173,170,169,170,170,168,168,166,164,164,163,162,168,168,169,172,173,174,176,176,174,180,211,178,125,53,127,184,171,173,171,169,169,168,167,167,165,165,164,163,168,169,171,175,174,175,177,179,172,179,202,167,117,56,92,188,171,173,171,169,171,169,167,166,166,166,165,164,168,170,173,175,175,178,181,177,189,222,193,158,140,89,101,174,172,178,178,174,171,170,170,169,167,166,166,165,169,171,176,177,179,180,178,177,229,213,175,152,164,178,172,157,147,150,158,169,176,173,173,169,169,168,165,166,171,174,176,178,179,181,173,210,224,183,129,101,128,176,197,195,181,166,137,139,144,161,170,174,170,167,166,166,173,178,176,178,179,178,191,238,216,192,155,98,76,118,165,183,192,191,176,162,151,157,143,145,160,172,171,166,176,178,177,180,183,177,221,227,199,179,159,152,126,115,122,133,141,157,172,185,191,196,175,136,127,123,158,172,175,177,178,182,180,192,227,210,168,139,138,129,161,166,145,130,112,93,105,127,141,170,184,174,153,112,107,147,174,177,181,184,182,219,245,219,168,134,126,117,125,168,177,166,143,102,76,130,152,143,143,143,143,143,137,148,178,180,180,179,196,239,241,208,171,152,154,156,149,129,140,160,158,128,107,99,177,183,171,158,144,138,134,137,178,179,182,180,216,238,224,190,161,160,175,173,173,148,73,118,122,128,131,96,154,188,180,181,180,174,164,159,179,182,179,200,231,233,218,173,139,114,153,191,191,186,97,119,92,92,95,115,181,182,181,181,179,179,179,177,179,179,185,227,227,243,218,169,135,117,101,143,158,174,166,138,110,102,92,174,185,182,181,181,179,178,177,175,180,177,203,230,236,246,205,161,147,145,145,131,101,132,184,155,128,97,158,192,182,182,183,182,178,176,175,173,181,183,223,231,240,225,202,170,158,153,151,140,127,120,119,119,109,139,189,184,185,184,182,180,180,179,177,175,176,198,234,231,229,218,198,179,162,163,159,140,118,110,115,84,151,191,186,185,185,184,184,182,180,179,177,177,175,213,233,228,228,212,184,166,142,143,152,141,129,122,107,138,200,188,186,184,186,186,185,184,182,179,180,178,181,224,228,222,218,203,184,145,107,90,98,116,114,118,141,185,192,190,190,187,186,186,186,185,183,181,181,179,198,225,213,204,201,179,145,111,89,61,133,183,168,178,194,192,191,191,191,190,187,185,184,184,182,180,178,178,220,219,193,187,172,141,111,95,88,72,182,203,198,196,192,192,193,192,190,188,187,185,184,184,181,180,180,178
6,195,195,196,198,198,199,200,199,200,200,202,202,200,200,198,197,198,198,198,196,196,195,195,192,190,191,189,188,195,197,198,199,200,201,202,202,202,203,203,203,203,203,200,198,199,199,198,198,196,196,196,196,192,192,193,192,197,200,201,202,202,203,204,203,204,203,203,203,203,203,201,200,201,199,199,199,198,198,197,196,195,194,193,192,198,201,203,202,203,205,203,204,206,204,205,204,203,203,203,202,203,201,200,200,198,199,198,198,196,193,194,192,200,202,204,203,205,207,207,208,208,208,206,207,205,205,204,204,202,203,203,202,202,201,199,191,190,202,193,192,201,203,204,204,206,207,208,208,209,208,206,206,207,207,205,205,207,207,204,200,196,186,183,158,198,231,175,182,203,204,205,207,210,209,209,209,209,210,211,211,209,207,203,199,189,180,183,190,184,174,176,159,177,194,146,184,205,206,207,209,212,213,212,211,210,210,205,203,203,197,181,171,146,155,164,184,172,158,135,120,116,135,175,200,205,208,209,212,212,215,215,213,212,205,173,170,156,166,183,172,161,132,142,139,118,102,105,130,159,190,202,197,208,210,211,213,213,216,216,212,207,196,181,182,146,96,128,127,110,87,98,106,136,161,194,209,208,204,199,199,210,212,213,216,217,216,212,191,195,197,200,186,130,80,63,61,66,99,151,199,213,214,207,204,204,203,202,201,214,215,216,218,214,207,201,192,185,191,198,168,109,77,66,72,161,199,218,215,211,209,209,208,206,204,203,202,215,215,214,211,206,200,195,188,177,186,185,175,155,93,68,70,194,224,209,214,213,213,213,210,207,205,205,205,215,213,211,207,201,191,189,186,180,182,187,191,171,108,72,66,82,218,215,215,213,213,212,210,210,207,207,206,209,211,214,205,195,189,189,189,184,185,187,183,168,117,70,75,59,144,231,215,215,215,213,212,211,210,209,208,222,224,216,204,196,190,187,189,186,180,185,186,181,148,78,66,71,71,206,223,217,216,214,212,212,211,210,208,230,226,209,199,201,191,187,186,189,190,194,194,184,144,85,67,65,59,202,225,217,218,217,215,214,213,212,210,224,214,204,205,199,190,186,185,185,176,174,170,154,123,91,74,55,132,235,218,219,219,217,217,215,214,213,210,228,209,198,201,187,185,190,182,176,163,155,152,136,113,97,86,55,129,238,219,222,219,219,218,217,218,215,213,230,220,195,181,181,187,191,186,174,163,153,153,138,105,96,97,76,64,211,229,223,220,220,218,217,218,216,213,212,214,185,166,170,181,181,178,165,150,131,126,104,88,90,104,79,63,212,230,225,223,220,219,218,218,216,215,89,150,157,144,155,167,166,155,138,123,109,95,55,69,92,98,70,161,235,226,226,225,222,221,219,220,219,217,42,54,101,120,133,148,141,124,103,87,77,70,62,80,93,103,185,237,228,227,227,225,224,222,220,220,219,218,46,45,41,54,69,93,105,97,107,137,165,132,109,114,157,214,237,229,229,227,227,227,225,223,223,221,219,218,39,42,41,16,12,24,30,39,212,244,242,240,231,233,240,236,232,232,230,229,227,228,228,226,224,223,219,218,36,34,45,34,9,17,0,99,246,233,234,234,234,234,232,232,232,231,230,232,229,227,227,226,224,223,220,220,32,30,40,39,10,14,6,197,246,232,237,236,234,234,233,233,232,231,230,230,229,228,226,226,224,222,221,220,29,27,40,41,14,0,78,247,233,236,236,235,236,236,235,235,233,232,232,231,229,229,228,226,225,224,221,220
7,125,133,138,139,143,149,154,157,160,161,164,166,167,170,171,173,173,174,175,175,174,174,175,174,173,173,172,171,126,133,138,140,144,149,155,158,161,163,165,167,170,172,172,173,175,176,176,177,176,177,178,176,175,174,173,172,128,134,139,141,145,151,155,158,162,164,166,168,171,172,174,175,177,178,178,178,178,177,178,177,176,176,175,173,128,135,138,141,145,152,155,159,163,165,167,169,171,174,175,177,177,178,179,179,178,179,179,179,178,178,177,175,129,136,139,141,147,152,156,159,163,166,169,171,173,175,177,178,178,179,179,179,180,180,180,180,180,179,178,176,131,138,142,144,148,153,157,161,164,166,170,172,175,177,178,179,179,181,181,181,181,181,180,181,181,180,179,177,132,139,143,145,149,154,158,162,165,168,173,173,176,178,180,182,182,183,183,184,183,182,182,182,182,181,180,178,132,139,143,146,150,154,158,164,165,169,172,173,173,178,180,180,182,183,183,184,185,183,183,182,183,182,182,180,132,140,144,145,149,161,181,183,172,174,183,183,183,180,172,168,176,173,174,174,178,185,186,185,184,184,183,182,133,140,142,149,176,196,200,190,170,163,177,188,191,187,170,170,188,176,164,155,143,165,173,185,186,185,184,185,132,142,167,194,200,198,200,188,163,156,165,176,181,178,159,158,173,163,156,149,141,154,142,185,190,187,186,186,157,190,201,200,198,200,197,178,156,154,167,188,193,196,180,176,171,165,176,169,154,149,153,165,175,187,187,186,203,204,202,207,200,201,204,187,137,125,131,153,157,161,165,170,168,170,176,178,169,164,167,153,164,163,184,186,207,207,205,206,202,207,211,180,124,105,111,101,87,106,125,138,140,142,143,148,150,150,151,145,156,148,186,189,210,208,206,207,206,208,202,151,111,105,107,109,88,68,84,174,179,182,180,177,172,165,165,162,163,177,189,188,207,205,203,205,204,207,193,141,99,100,115,117,111,95,93,187,190,191,191,193,193,192,193,192,191,190,189,188,211,209,207,210,212,216,196,132,96,83,79,111,131,108,89,166,193,191,192,191,191,190,189,189,189,189,189,187,208,207,203,198,199,199,162,124,100,96,73,83,112,113,111,174,192,191,192,192,193,192,192,192,190,190,190,189,196,193,183,176,181,167,137,120,111,101,93,87,120,145,168,188,190,191,192,193,193,194,193,193,191,191,190,190,180,172,167,163,164,144,118,113,108,109,96,96,172,190,190,189,190,192,192,193,194,195,193,193,193,193,191,190,154,155,146,133,124,123,138,146,128,125,127,147,186,187,188,190,192,193,193,194,193,194,194,194,193,193,192,191,125,122,114,115,131,152,165,171,173,173,177,180,182,184,186,188,189,191,190,191,190,191,191,190,188,188,188,188,101,96,97,116,125,123,122,123,123,123,124,124,124,125,127,125,126,128,128,126,124,124,123,122,120,120,119,117,80,95,102,100,104,102,100,98,98,98,98,98,100,100,98,96,96,97,98,99,99,99,98,97,94,93,93,92,95,101,106,106,106,107,106,105,106,107,107,106,106,105,104,108,108,104,104,103,103,103,102,101,98,99,98,93,98,101,106,107,107,108,106,104,106,106,106,105,105,104,104,109,110,108,109,104,102,101,101,101,101,98,97,128,99,97,107,108,108,107,106,106,107,107,106,106,107,105,105,105,103,104,106,103,102,101,101,102,98,110,161,185,97,92,103,109,109,109,109,108,108,109,108,108,108,108,108,106,104,104,104,103,104,102,100,99,104,180,174,161
21,198,201,203,204,203,203,204,206,206,206,207,209,204,196,208,206,206,207,205,203,202,202,201,198,202,99,8,3,202,204,205,206,208,208,208,209,210,210,208,212,228,146,194,213,208,209,208,208,210,205,203,206,176,80,24,11,206,207,208,211,211,212,212,211,212,212,212,215,235,133,173,222,211,212,214,199,179,212,207,212,172,48,27,30,209,210,212,212,214,216,215,215,216,216,216,220,237,134,154,228,216,215,223,204,117,211,210,214,183,70,40,54,212,212,215,216,217,218,218,218,219,219,219,221,245,144,142,230,218,216,232,198,110,213,214,211,216,97,37,52,213,215,217,219,219,220,221,221,220,221,221,221,254,166,141,230,223,219,236,188,115,214,218,214,221,143,41,40,216,218,218,222,222,223,224,223,223,224,225,223,255,182,139,228,227,224,243,185,125,217,220,216,223,196,52,25,218,220,222,224,225,225,225,226,226,226,227,223,255,196,141,216,233,226,252,192,131,224,223,221,219,226,87,27,220,224,224,225,227,228,227,228,228,227,230,225,255,219,152,198,237,230,253,191,132,226,225,224,220,229,162,155,223,224,225,228,228,228,229,230,229,229,232,227,255,237,156,190,239,238,255,187,129,231,226,226,223,226,162,214,224,226,228,230,230,231,232,233,232,232,235,219,230,247,149,189,241,247,253,172,139,239,229,228,226,224,188,223,225,226,227,230,232,233,234,233,235,233,255,227,184,203,170,164,242,252,232,157,155,243,229,231,230,229,218,165,226,227,231,231,233,234,234,234,236,234,255,255,220,159,204,107,198,245,218,144,175,247,232,232,232,232,224,155,227,229,230,233,234,234,234,235,235,239,237,255,252,201,212,121,107,184,184,127,201,245,234,234,233,233,229,203,229,230,231,234,234,235,236,236,236,242,208,198,255,209,200,181,129,112,136,102,210,244,235,235,233,234,234,227,229,230,233,235,235,235,237,239,238,234,246,202,231,217,162,212,191,122,98,91,203,249,236,236,236,234,233,232,229,230,231,233,234,235,237,237,241,243,255,222,142,200,145,179,203,144,90,82,203,249,238,237,236,236,234,232,229,231,231,230,234,235,236,236,255,255,248,173,101,125,189,145,189,177,115,75,208,246,237,236,236,235,234,232,229,231,232,233,233,235,235,242,255,224,198,185,132,71,147,101,164,222,144,85,223,245,237,237,235,234,233,232,230,232,234,234,234,237,238,241,255,220,184,198,143,90,62,135,196,243,185,102,182,249,238,238,236,235,234,233,229,231,232,233,233,236,237,237,255,233,204,192,181,115,96,242,226,232,207,139,122,248,240,239,237,235,234,234,237,240,241,243,242,243,245,247,255,255,214,145,183,136,166,255,243,221,191,147,141,248,240,239,237,235,235,235,166,170,175,180,184,190,195,199,255,255,210,139,178,159,228,255,231,210,170,112,158,255,244,247,246,241,235,232,102,103,106,105,104,105,105,105,245,255,202,167,190,176,255,255,227,199,163,108,121,148,142,142,150,166,199,225,115,117,115,115,114,115,117,107,225,255,208,197,209,187,255,255,223,189,144,111,102,106,128,164,197,225,245,255,114,114,113,114,115,115,118,104,182,255,233,229,223,172,254,249,200,170,122,107,197,219,230,248,251,243,244,255,113,113,111,114,115,114,116,112,130,247,248,234,217,168,213,231,171,133,102,118,253,248,215,204,225,237,233,242,113,112,112,114,116,114,114,118,108,224,243,211,187,155,164,198,145,111,96,140,193,208,235,186,183,209,228,240
6,206,208,209,211,212,211,212,212,213,214,214,214,214,214,214,215,214,213,212,210,210,209,208,207,205,204,203,202,208,209,210,212,213,213,213,213,213,215,216,216,215,215,215,215,215,215,214,212,211,211,210,208,207,206,205,205,209,210,212,213,214,215,215,215,215,216,216,215,215,216,218,218,216,216,216,215,214,213,211,211,210,208,208,207,211,212,214,214,215,217,217,216,216,216,216,216,217,218,218,218,217,217,216,215,215,214,213,213,211,210,209,207,214,214,215,216,217,217,218,218,218,218,218,218,218,219,220,220,220,220,219,218,216,215,214,214,212,211,209,208,215,216,217,218,218,219,219,220,220,220,221,221,220,220,220,221,221,221,220,220,218,217,216,215,214,214,212,211,215,217,219,219,220,221,222,222,221,221,222,223,222,222,222,223,222,223,222,221,219,218,217,215,214,214,213,213,217,219,220,220,221,222,223,223,223,223,224,224,224,223,223,223,223,223,223,223,220,219,219,218,216,215,214,215,218,220,221,221,221,224,223,224,224,225,225,225,223,222,223,223,223,222,222,222,220,219,218,218,215,215,213,216,220,221,223,222,223,224,224,226,227,229,230,226,217,202,207,217,221,218,218,218,217,212,213,211,208,213,204,229,221,222,224,225,226,228,228,228,224,223,224,222,213,192,169,194,209,214,214,213,202,204,203,203,203,204,196,205,227,228,228,225,223,223,222,220,215,215,217,217,219,203,153,145,156,166,173,175,176,173,173,175,176,177,179,183,239,235,228,218,215,215,214,210,205,206,203,199,195,176,147,135,125,128,162,180,191,196,201,208,213,213,214,218,238,234,226,215,209,204,198,198,199,197,192,191,191,169,139,133,138,140,175,220,229,228,227,228,226,225,223,215,235,230,223,213,203,195,193,193,195,195,196,203,212,192,142,122,131,145,141,163,214,229,228,229,228,227,206,160,230,224,217,211,200,190,184,183,189,195,202,205,202,185,153,137,133,135,140,138,162,226,231,230,228,224,160,132,225,219,216,214,203,193,186,182,185,189,196,207,193,165,152,151,149,142,133,133,146,220,230,229,229,205,139,130,221,215,214,212,205,198,192,187,187,185,186,198,201,167,134,136,157,158,146,129,164,229,229,229,203,146,122,108,208,206,207,207,206,203,196,191,190,190,192,204,198,165,140,129,138,153,157,142,162,215,194,178,145,116,107,94,151,162,179,198,209,210,204,197,193,190,190,199,196,168,149,151,146,137,141,144,141,148,134,123,112,101,92,86,76,81,103,148,201,209,204,198,194,189,184,179,180,167,163,166,158,149,140,123,115,117,123,118,108,98,86,80,65,60,58,70,132,190,189,180,176,173,171,161,151,137,139,157,163,161,145,115,89,95,109,104,100,97,92,82,58,54,53,54,60,119,182,189,194,200,207,209,155,117,116,132,153,145,133,117,88,79,95,96,92,93,96,87,52,48,45,44,52,159,213,218,221,224,225,227,203,166,157,151,145,108,122,115,84,71,76,88,87,86,93,92,48,43,39,35,69,145,150,152,153,154,157,159,161,160,161,157,133,91,113,112,80,65,68,78,80,82,89,91,44,40,38,36,64,128,130,129,129,129,131,132,130,130,143,145,118,81,107,104,76,61,68,71,74,77,82,86,45,43,42,33,68,136,137,136,136,136,133,134,137,140,129,119,105,80,98,95,73,57,62,69,70,72,76,81,51,49,40,28,87,139,137,137,138,139,136,136,135,125,111,98,94,82,90,91,70,58,58,65,65,69,72,78
7,225,228,230,232,233,234,236,238,238,239,239,239,238,239,238,238,240,241,240,239,240,238,236,236,235,231,228,227,228,229,231,234,236,238,238,240,240,240,241,242,241,241,242,243,242,244,242,242,242,241,239,238,237,235,233,232,228,231,234,236,238,239,242,243,243,243,244,244,245,245,246,246,246,245,243,245,245,243,242,240,239,237,237,234,230,234,237,239,240,242,243,245,246,245,246,247,247,247,247,246,247,247,246,245,247,244,244,243,241,241,239,237,233,237,240,242,243,244,245,247,247,247,248,248,247,250,249,248,249,249,248,248,247,247,246,244,244,244,242,239,235,239,241,243,245,246,247,249,249,250,250,249,250,252,252,252,251,251,251,250,249,249,248,246,246,245,245,241,238,240,244,245,245,248,251,252,252,251,253,253,253,253,254,254,254,253,253,254,252,251,251,249,249,246,247,246,238,241,244,246,247,250,251,252,252,255,254,254,255,255,253,255,255,255,255,255,255,253,253,248,246,248,247,246,239,242,245,247,248,250,252,255,255,255,237,211,230,245,248,245,248,254,251,251,246,250,241,255,255,245,248,245,243,245,245,248,252,255,255,255,255,255,255,207,187,218,232,230,232,225,222,232,229,239,225,250,237,235,254,247,242,247,255,255,255,255,255,255,253,248,244,203,176,194,214,225,225,220,218,214,210,218,205,200,195,238,249,249,255,255,255,255,255,255,251,239,231,241,251,218,177,167,173,189,206,220,212,209,219,218,211,224,222,223,243,233,255,255,255,255,249,243,238,235,239,248,255,224,181,179,179,170,168,158,173,185,186,194,187,191,201,201,200,226,255,255,255,244,233,228,226,229,235,247,234,200,174,172,189,198,189,159,185,254,243,237,232,232,230,232,241,255,255,255,255,242,231,228,229,224,221,235,241,208,163,149,171,185,186,183,164,255,255,255,255,255,255,255,255,255,255,255,255,248,241,234,235,234,230,237,251,220,181,181,186,173,173,150,196,255,255,255,255,255,255,255,255,255,255,253,249,248,246,240,236,232,232,237,242,219,191,197,199,187,183,163,255,255,255,255,255,255,255,255,255,255,239,236,240,246,247,244,236,229,228,227,208,194,177,170,178,185,156,222,255,255,255,255,255,255,255,255,255,255,134,145,180,223,246,238,224,213,201,187,179,167,124,103,127,162,160,255,255,255,255,255,255,255,255,255,255,235,65,64,73,102,157,196,182,189,198,218,247,255,167,118,148,168,231,255,255,255,255,255,255,255,255,255,227,147,67,61,58,52,54,69,210,255,255,255,255,255,255,209,239,255,255,255,255,255,255,255,255,255,215,191,143,120,59,53,50,54,34,99,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,163,138,127,116,101,52,49,45,47,28,104,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,183,113,111,131,118,109,102,49,51,48,49,19,95,255,255,255,255,255,255,255,255,255,255,255,255,255,255,213,135,101,80,103,102,95,99,57,62,56,45,8,84,255,254,255,255,255,255,255,255,255,255,255,255,255,182,119,144,101,70,77,96,88,90,70,64,47,22,16,54,163,159,162,165,167,172,176,176,179,182,180,187,185,123,95,136,97,62,66,79,80,81,79,55,27,19,20,75,154,142,142,145,144,144,145,145,146,143,142,163,162,111,86,126,92,59,63,70,74,75,70,35,22,29,22,106,167,155,157,159,158,156,157,155,156,153,158,144,125,106,84,116,84,62,58,65,68,71
21,210,215,217,220,223,225,227,231,234,236,235,235,233,240,237,237,239,239,236,237,237,237,239,238,235,234,233,230,212,216,219,223,226,228,231,234,235,237,235,245,255,213,238,242,242,241,240,239,239,240,240,240,239,236,237,235,214,218,222,226,228,231,235,235,236,241,236,255,255,202,204,251,244,244,245,244,244,244,242,242,243,243,240,237,217,221,224,227,231,234,236,239,241,244,245,241,255,246,168,242,249,246,248,246,246,247,244,248,235,229,244,239,218,223,226,230,232,235,239,242,244,246,248,242,255,255,206,213,254,248,249,248,249,250,245,255,219,171,250,242,219,225,229,233,234,237,241,245,246,246,247,246,254,255,255,193,245,254,252,252,253,248,255,255,203,177,253,242,222,227,231,234,236,240,243,247,248,249,250,252,247,255,255,195,219,255,253,253,254,247,255,255,181,208,255,245,225,229,233,235,239,243,244,246,249,251,252,254,246,255,255,216,196,255,254,254,255,255,255,255,177,238,255,250,227,231,235,238,243,245,246,249,251,252,254,255,251,255,255,245,184,255,255,255,253,255,255,226,174,255,252,252,229,233,237,241,244,246,249,251,253,255,255,253,255,255,255,254,162,204,255,255,255,255,255,184,202,255,252,253,231,235,239,243,245,248,251,252,254,255,255,255,255,255,255,249,198,159,243,255,255,255,255,170,247,255,255,255,233,236,239,244,248,252,253,253,255,255,255,255,255,255,255,255,255,245,195,233,255,255,209,187,255,255,255,255,234,238,242,246,250,253,253,255,255,255,255,255,255,255,243,253,255,255,190,155,213,216,162,227,255,255,255,255,235,240,243,246,251,254,255,255,255,255,255,255,241,194,130,143,255,255,211,150,166,171,158,255,255,255,255,255,237,242,244,248,253,254,255,255,255,255,255,255,192,190,167,140,195,255,246,173,141,143,176,255,255,255,255,255,238,243,245,250,253,255,255,255,255,255,255,255,255,233,180,181,174,255,255,197,141,125,200,255,255,255,255,255,239,244,248,252,254,255,255,255,255,255,255,255,249,209,183,208,202,255,255,230,162,119,207,255,255,255,255,255,242,246,250,253,255,255,255,255,255,255,255,255,221,203,210,230,244,255,255,248,187,128,200,255,255,255,255,255,242,246,250,254,255,255,255,255,255,255,255,255,249,240,239,242,255,255,255,246,192,130,200,255,255,255,255,255,240,244,249,253,255,255,255,255,255,255,255,255,255,244,252,255,255,255,255,235,202,134,196,255,255,255,255,255,243,248,250,254,255,255,255,255,255,255,255,255,255,247,255,255,255,255,255,239,200,138,202,255,255,255,255,255,244,250,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,196,135,208,255,255,255,255,255,246,250,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,188,133,201,255,255,255,255,255,246,251,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,232,179,129,197,255,255,255,255,255,248,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,246,226,172,123,205,255,255,255,255,255,240,246,251,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,232,233,165,112,243,255,255,255,255,190,174,175,179,184,187,189,194,196,196,196,198,224,255,255,255,221,235,255,229,227,152,113,220,235,233,238,163,129,139,140,141,141,139,141,145,144,140,146,127,110,255,255,230,209,227,255,214,213,133,93,116,137,148,150,121,122
10,31,43,56,75,101,112,121,127,129,132,133,135,137,137,137,138,140,138,138,136,134,133,132,129,127,125,122,119,32,45,58,78,103,114,122,127,130,133,134,137,138,140,140,140,140,139,138,137,136,138,133,130,130,127,124,121,35,46,59,80,104,116,125,128,132,135,137,139,140,141,143,144,143,142,140,140,140,125,132,134,131,128,126,122,36,47,61,81,106,118,126,131,135,138,139,141,143,144,145,146,146,146,145,142,150,85,86,143,131,131,128,126,39,49,62,84,108,120,127,134,136,139,143,145,146,147,147,148,148,149,147,144,155,88,65,145,134,134,130,128,41,51,64,87,110,122,131,136,137,140,144,147,147,149,152,152,152,151,150,148,155,85,60,145,138,136,135,132,42,53,66,88,112,123,132,138,139,142,147,150,151,152,155,156,155,153,154,153,163,92,62,149,142,141,138,135,43,54,67,91,114,124,134,139,140,144,149,152,154,155,156,156,156,156,154,157,140,91,63,152,145,144,141,138,44,56,68,93,116,127,134,140,144,146,152,155,156,157,158,158,160,161,162,167,69,60,60,154,148,146,144,141,45,56,69,95,117,127,136,142,144,148,154,156,156,160,161,160,162,156,144,139,60,29,66,158,149,148,145,142,47,57,70,96,117,129,138,143,146,150,155,157,159,162,164,168,170,154,120,60,46,12,75,166,151,150,148,146,48,58,71,97,117,130,139,145,149,152,156,160,161,163,160,136,152,148,93,27,20,28,51,164,153,153,149,146,51,60,72,99,118,131,140,146,148,154,158,162,165,173,154,99,65,39,17,23,48,30,24,157,157,154,152,147,52,62,74,101,119,132,141,147,150,154,160,164,153,143,168,133,62,0,0,17,114,57,21,150,160,155,153,149,53,62,75,102,119,133,142,148,152,155,160,168,146,98,110,152,90,8,0,17,130,93,23,143,165,156,154,152,52,63,75,102,119,134,142,148,152,157,162,169,164,144,89,130,100,33,0,37,132,105,21,121,171,158,156,154,53,64,75,103,120,134,144,151,153,159,163,167,127,138,84,81,102,43,0,90,132,100,17,100,175,158,158,156,54,64,78,105,122,134,143,152,154,159,162,174,133,87,76,44,113,100,44,129,118,70,16,111,174,159,159,154,53,64,80,106,122,135,143,152,155,160,164,170,147,98,70,67,105,117,55,127,104,48,12,133,173,161,160,156,54,65,79,106,122,135,144,152,155,161,165,170,176,132,82,64,67,108,99,122,90,43,7,146,173,162,162,158,54,65,80,108,123,135,145,152,155,161,165,167,177,151,113,83,79,159,157,112,79,37,15,161,171,164,162,159,54,65,81,108,122,135,146,152,156,162,167,169,157,146,125,106,94,151,144,98,68,26,28,175,170,167,164,161,54,65,81,108,122,135,146,153,157,162,166,172,152,144,132,118,98,140,134,85,54,6,53,185,168,168,165,163,53,62,80,107,122,135,146,153,156,161,165,170,167,141,135,115,90,114,110,69,41,0,104,184,167,167,164,161,51,61,78,104,119,133,144,150,153,159,163,166,172,155,129,107,86,90,99,69,32,13,158,174,168,164,162,159,50,59,76,103,118,133,144,151,154,159,164,167,172,171,137,108,103,92,102,80,20,54,183,168,166,163,161,158,50,58,76,101,116,132,143,150,153,159,162,167,172,169,149,129,123,101,99,69,13,89,184,167,165,162,160,158,47,56,75,101,114,130,141,148,150,156,161,165,169,158,163,142,125,100,78,56,9,98,182,165,164,162,159,157
12,79,85,96,111,118,125,130,136,138,141,144,147,150,152,155,157,159,161,161,163,165,165,166,167,167,167,167,167,80,86,96,113,120,127,132,137,139,142,144,147,151,154,155,158,159,161,163,165,166,166,167,168,168,169,168,169,81,86,98,112,121,129,134,137,140,144,146,148,151,155,157,161,154,159,165,166,167,168,168,171,171,171,170,170,82,88,101,115,122,129,134,138,142,147,150,160,130,130,161,169,125,112,161,162,164,170,170,173,172,173,172,172,83,90,103,117,124,131,136,140,145,145,178,174,138,109,146,168,132,95,113,125,114,153,173,173,174,174,174,173,84,91,103,117,125,131,137,141,146,145,198,186,151,123,127,169,144,116,85,120,102,104,169,175,175,175,176,176,86,93,107,120,126,133,138,142,146,151,202,204,167,129,119,176,149,121,77,113,110,86,150,176,176,176,178,178,87,94,109,120,127,134,140,143,147,163,175,197,177,131,111,181,146,116,75,109,110,85,157,177,179,178,179,180,88,95,110,121,129,135,140,143,152,171,172,160,162,119,94,160,140,107,72,109,105,88,168,180,180,180,180,180,88,96,111,121,129,136,150,189,195,141,108,105,139,103,78,125,111,90,74,107,99,96,178,181,182,181,181,181,89,98,114,122,129,135,185,212,176,124,100,73,124,102,71,108,100,85,73,98,93,102,181,182,183,182,182,182,90,100,114,123,131,138,194,170,155,128,107,75,108,123,78,101,122,97,83,120,107,110,181,183,183,183,184,184,90,100,116,124,131,150,189,147,142,136,113,87,62,91,65,79,118,97,86,136,117,87,135,185,185,185,185,185,91,102,117,124,132,159,181,146,119,137,113,95,50,42,59,87,97,91,114,119,98,80,92,180,186,186,185,186,91,103,118,124,131,164,195,159,127,114,100,86,45,58,99,137,146,138,135,121,104,96,100,182,187,186,186,186,92,106,120,126,132,171,195,162,138,106,87,82,65,90,140,165,168,156,140,116,104,96,127,186,187,187,187,187,93,108,121,127,132,173,191,169,145,115,99,113,110,145,172,179,174,153,129,113,95,89,160,187,188,188,188,189,95,108,120,127,134,167,185,165,142,119,115,125,121,172,178,179,173,144,121,107,93,106,183,188,189,189,189,189,95,110,120,129,136,156,183,161,140,123,119,116,128,168,171,175,162,134,113,101,91,145,188,188,190,189,190,190,96,111,120,128,137,147,182,157,142,132,125,124,144,163,168,166,146,123,106,95,96,176,189,190,191,191,192,192,98,113,123,130,138,143,175,160,152,148,135,128,148,159,161,147,128,111,99,93,125,187,189,190,192,192,193,192,100,113,122,131,139,143,165,168,155,146,133,122,131,146,146,128,109,100,95,96,167,189,190,190,193,194,194,194,101,115,122,131,138,145,156,177,151,140,126,114,111,123,122,112,99,97,93,133,187,190,191,193,193,194,194,194,101,115,123,131,139,145,151,186,161,138,119,109,112,114,113,107,96,94,99,176,188,190,192,193,194,194,194,195,101,116,123,131,139,145,151,185,174,141,121,118,124,114,113,109,94,85,129,187,190,191,193,194,195,195,195,195,103,116,123,131,140,146,163,193,187,152,138,132,129,113,105,99,88,75,141,189,190,192,194,194,195,195,195,195,103,117,124,132,140,160,188,183,200,161,146,134,125,110,100,90,83,72,145,189,190,192,194,194,195,196,196,196,104,118,125,133,140,194,198,156,191,164,151,132,121,108,90,87,82,72,155,189,191,193,194,195,196,196,196,196
8,207,209,207,208,209,209,210,209,209,210,210,209,211,211,210,210,211,210,210,209,208,208,207,207,206,206,206,205,208,209,209,211,211,211,211,211,211,211,211,211,199,204,213,212,212,212,211,211,210,209,209,208,207,206,206,206,211,210,210,212,212,211,212,212,212,212,209,221,185,172,218,212,213,213,212,212,212,211,211,210,210,208,208,207,211,211,212,212,213,213,212,212,213,212,213,223,170,171,221,213,214,215,214,213,213,213,212,211,211,210,209,208,212,213,213,213,214,214,214,213,214,212,220,220,148,184,221,213,215,216,215,213,214,213,213,212,212,211,210,209,213,213,214,214,215,216,215,215,216,213,226,218,142,194,221,215,216,216,216,215,216,214,213,213,213,212,211,211,214,214,215,216,216,216,216,217,217,213,230,206,145,208,221,216,217,217,216,216,216,216,215,215,213,213,213,213,215,215,215,216,216,216,216,217,217,216,232,185,150,217,217,218,220,217,221,220,214,216,216,217,216,213,214,214,216,216,217,217,217,217,217,217,216,221,229,182,152,226,214,184,203,220,196,208,223,218,220,212,211,216,215,215,216,217,217,217,218,218,218,219,215,226,227,189,159,241,223,183,167,218,175,162,183,186,202,195,158,212,216,215,217,217,218,218,217,218,218,219,216,230,226,187,187,251,229,205,157,199,192,156,145,170,189,191,126,207,220,215,217,217,218,218,218,218,219,219,217,231,222,187,209,250,239,215,153,178,194,157,194,177,199,202,130,206,219,215,216,217,218,218,218,218,219,218,223,223,211,207,209,230,243,213,157,164,184,168,208,174,203,213,157,193,225,215,216,216,218,218,218,218,219,219,228,203,207,215,206,201,243,217,163,145,171,186,199,166,197,213,187,162,222,218,216,216,217,217,218,218,219,220,230,194,189,209,193,195,232,224,166,128,156,193,190,147,183,216,182,138,210,221,217,217,217,218,218,219,217,221,236,193,166,186,180,173,218,223,160,121,149,194,182,137,194,205,155,153,223,217,217,218,218,218,218,219,217,225,243,202,157,167,160,156,188,219,182,120,141,202,174,148,202,174,133,195,224,217,217,218,218,218,218,220,219,232,243,217,155,160,159,157,176,209,195,121,138,190,155,183,179,139,150,223,217,218,217,217,218,218,219,220,221,235,240,226,166,146,160,154,170,201,163,140,192,199,186,205,166,123,192,225,218,220,217,217,217,218,218,219,220,237,239,233,170,150,168,156,187,220,205,215,212,200,182,184,162,124,213,223,219,220,217,219,220,223,224,224,222,237,240,230,170,158,168,168,215,230,230,224,208,199,172,157,139,150,226,220,221,222,159,162,166,167,170,167,186,240,237,224,174,180,164,191,235,234,231,226,212,191,164,141,124,195,227,220,216,213,133,132,134,133,133,127,149,245,237,224,191,186,169,193,239,239,235,218,204,179,153,132,130,148,148,152,173,202,140,141,141,142,141,141,145,234,238,229,200,186,182,186,240,242,224,205,193,163,141,128,130,141,168,201,221,222,141,141,140,140,140,141,135,223,237,222,198,187,184,188,243,232,214,192,174,148,129,143,187,215,230,228,228,223,141,140,139,140,142,142,140,224,228,210,195,187,180,201,236,216,202,173,155,138,119,214,243,213,206,208,212,221,139,139,139,140,140,138,151,231,220,205,194,189,185,207,213,205,186,158,152,127,149,216,228,230,212,198,203,204,139,140,140,139,142,134,162,236,212,203,197,192,191,204,204,197,176,152,147,133,201,207,196,215,223,200,175,172
18,205,205,205,206,206,207,208,208,208,207,208,208,207,207,206,205,207,207,207,207,206,205,203,202,200,200,198,196,205,206,207,208,207,207,209,209,209,209,208,208,208,207,207,207,208,208,207,207,206,204,204,204,202,200,199,200,208,208,209,209,209,210,209,209,209,209,209,208,209,209,209,208,209,211,207,210,206,204,204,205,203,201,200,200,210,210,210,211,211,213,211,211,209,208,210,210,211,209,209,210,209,217,202,197,210,207,205,205,203,203,202,201,210,211,212,212,211,213,213,214,211,211,212,211,208,211,213,211,209,238,204,163,194,210,208,207,207,206,204,202,212,214,214,213,213,214,213,214,214,214,215,211,228,229,197,206,239,249,226,177,180,206,204,209,206,205,204,204,214,214,215,214,213,215,215,216,213,215,213,229,255,232,192,173,221,238,243,229,230,217,171,170,207,204,204,207,214,215,215,215,216,216,218,214,220,242,207,224,255,224,199,165,219,217,244,243,242,227,172,123,189,211,206,207,216,216,216,217,218,216,213,220,255,249,203,175,249,220,191,171,233,205,206,236,247,222,165,115,156,214,206,207,215,215,216,217,215,218,213,253,255,249,209,175,249,227,189,170,237,218,172,240,255,225,156,111,142,218,209,209,218,218,217,218,220,214,235,255,255,253,215,171,245,235,191,175,243,214,180,255,255,223,151,104,158,221,208,210,219,221,221,221,219,220,255,243,248,255,223,174,237,230,189,162,220,196,179,255,255,212,144,102,189,219,211,212,221,222,220,222,219,245,255,236,234,241,216,166,202,213,183,133,160,153,204,255,242,196,137,120,217,213,214,213,222,222,222,219,230,255,243,206,211,204,169,130,161,186,147,91,175,215,243,255,228,184,125,166,224,214,215,214,223,224,226,221,235,255,247,207,186,183,145,107,180,182,120,189,255,254,238,223,213,171,125,205,222,216,215,215,224,226,227,220,246,255,246,220,176,166,147,99,196,168,211,255,255,247,218,195,194,151,123,216,219,220,218,216,224,225,228,224,255,255,248,227,201,170,159,146,140,208,255,255,255,239,203,175,168,125,155,231,218,220,218,218,226,228,227,230,255,255,253,234,216,185,172,172,201,255,255,255,250,222,183,159,151,105,184,230,221,221,221,219,228,229,226,234,255,255,255,244,231,199,193,214,255,255,255,255,242,204,167,150,123,131,221,224,223,222,222,221,228,229,226,235,255,255,255,252,240,219,210,233,255,255,252,243,231,191,156,141,106,194,233,223,224,223,223,221,227,228,226,232,255,255,255,255,242,224,218,228,255,253,241,238,203,180,143,117,129,230,226,225,223,224,224,221,228,228,228,231,255,255,255,253,238,223,221,224,247,238,225,226,190,159,128,98,185,233,224,226,223,225,224,224,229,230,228,230,255,255,255,245,229,216,217,223,235,221,213,211,186,137,108,118,226,226,225,226,227,224,224,232,227,230,227,232,255,247,235,232,218,207,209,215,233,215,202,193,161,118,85,178,238,227,228,226,225,224,225,182,232,232,232,242,255,246,238,234,222,221,211,214,239,202,179,161,128,82,120,231,228,228,226,227,231,236,173,107,179,171,157,202,254,248,245,237,237,243,208,212,233,180,151,130,89,87,219,232,228,228,233,228,203,163,118,106,131,129,122,127,134,135,139,142,150,170,156,173,183,149,125,102,65,185,242,237,236,237,200,144,117,102,96,88,151,118,119,121,114,109,101,94,82,77,77,81,82,74,70,68,61,93,116,144,195,195,107,109,113,106,98,87
21,19,56,71,78,86,98,113,122,130,135,139,142,145,147,150,154,157,158,160,161,163,165,166,166,167,168,168,168,24,59,72,79,87,100,114,124,131,136,139,142,146,153,151,130,154,160,162,163,165,166,167,168,169,169,170,169,30,62,73,81,89,103,116,126,132,137,141,145,146,168,154,97,146,163,164,165,166,168,170,171,171,171,171,171,36,66,75,82,90,104,118,127,133,138,143,146,148,171,155,100,141,165,166,167,167,169,171,172,172,173,173,173,43,68,75,83,92,107,120,128,134,139,144,147,148,172,154,102,136,166,167,169,170,172,174,174,171,173,176,176,48,70,76,84,94,109,121,130,136,141,146,149,150,173,159,110,132,169,168,170,172,174,176,169,136,145,179,178,55,71,78,86,96,112,122,132,138,142,147,150,151,171,161,116,124,170,171,172,174,176,177,154,110,132,180,179,60,72,79,87,98,113,124,133,139,145,149,150,153,171,162,119,113,169,172,174,176,180,172,136,108,163,181,180,64,73,81,88,99,115,125,133,140,146,149,151,154,176,171,122,109,169,172,175,177,180,159,119,132,181,182,182,67,74,82,89,101,118,127,135,141,146,150,153,156,181,176,130,114,171,174,176,177,166,138,112,168,184,183,183,70,76,82,90,103,118,128,136,142,147,151,155,153,169,161,124,110,169,174,178,178,156,113,135,185,184,184,184,71,77,83,91,104,119,129,136,142,148,154,177,151,137,132,106,106,168,174,179,175,141,110,170,186,185,185,185,72,77,85,93,106,121,129,137,144,148,161,183,143,106,97,88,106,156,167,170,158,112,138,185,186,187,187,186,73,78,86,93,107,122,131,138,145,153,178,155,127,101,75,80,106,142,154,149,123,108,175,186,187,187,187,187,73,79,86,93,109,123,132,139,145,178,189,171,142,120,80,72,94,121,134,121,96,144,188,187,188,188,188,188,74,79,87,95,111,123,132,139,149,184,185,196,176,138,91,71,88,103,116,103,106,180,189,188,188,189,189,189,74,80,88,97,112,123,132,138,161,168,169,186,175,123,88,76,81,92,98,90,142,190,189,189,190,190,190,190,75,81,89,98,115,125,135,140,175,171,145,125,144,119,93,79,77,82,84,87,167,190,190,190,190,190,190,191,76,82,89,98,114,125,135,143,177,149,119,107,135,132,102,82,77,76,79,88,173,190,191,192,192,192,192,192,77,83,89,99,115,126,135,150,186,158,145,131,137,153,114,93,83,76,75,89,176,192,192,192,193,193,193,193,77,84,90,100,116,127,135,156,188,168,150,134,182,181,128,111,89,74,74,97,181,192,192,192,193,193,193,194,77,84,91,102,117,127,135,160,196,175,146,156,205,175,131,115,91,74,73,107,187,192,193,193,193,193,194,194,78,85,92,103,117,127,135,161,195,161,146,168,191,155,121,109,94,77,73,129,192,192,193,194,194,194,195,195,79,85,90,103,118,128,136,157,181,156,154,165,181,151,128,103,92,79,76,153,192,191,193,194,195,195,196,196,79,84,90,104,119,129,136,151,170,169,164,164,181,148,134,107,83,77,82,169,192,192,194,194,195,196,196,196,78,84,91,106,119,128,137,147,172,184,156,164,174,137,120,100,79,73,93,179,192,193,195,195,195,196,196,196,78,83,89,105,117,126,137,143,169,179,153,148,157,122,102,87,76,68,108,184,190,193,195,195,195,196,196,196,77,82,88,104,116,126,135,143,159,165,149,146,144,119,102,89,77,66,120,187,188,191,193,193,194,195,195,196
6,99,105,109,111,114,119,123,125,129,133,134,136,138,141,142,145,146,148,149,150,151,150,151,152,152,152,152,152,100,105,108,110,114,119,124,126,129,132,135,137,139,142,143,145,146,148,149,151,152,152,152,153,152,152,152,152,100,106,109,110,114,120,125,128,129,133,136,139,142,142,144,145,149,150,151,151,152,153,154,154,153,153,152,152,100,107,110,111,116,121,125,129,131,135,137,140,142,144,144,146,150,152,153,152,154,154,156,156,154,154,153,154,101,108,109,112,115,120,124,128,132,136,138,140,143,144,146,148,150,153,153,153,156,155,156,158,157,156,159,158,102,108,110,113,116,121,125,129,133,137,138,140,143,144,146,147,148,149,150,151,148,151,151,152,152,149,145,147,103,108,112,114,115,120,127,129,132,133,143,148,145,149,152,154,155,161,159,154,157,162,171,161,152,146,126,124,101,106,109,110,114,119,124,126,138,159,169,165,149,141,156,168,173,175,169,155,159,168,173,170,162,150,135,135,100,106,109,111,112,116,130,151,169,172,170,160,144,113,107,135,141,140,137,133,135,126,119,120,118,110,105,112,103,111,110,107,121,147,173,173,164,162,166,169,152,105,70,72,72,78,91,91,95,110,126,132,134,137,139,144,101,104,115,142,164,175,169,163,165,170,172,159,124,100,73,65,62,53,80,132,149,157,161,160,162,163,161,160,107,139,168,176,171,170,165,166,171,169,155,132,105,89,76,74,81,74,70,110,138,159,157,159,158,158,156,157,169,177,173,171,169,172,172,169,168,168,165,163,129,84,72,60,72,86,79,67,49,121,168,158,161,159,158,159,176,173,174,174,170,166,168,165,167,170,177,172,123,84,77,71,62,74,87,92,70,50,132,165,158,160,159,159,181,179,176,169,169,167,169,162,165,175,177,142,107,90,82,84,87,72,59,69,78,60,76,165,158,159,158,158,181,177,170,163,160,157,158,155,160,168,160,129,101,85,87,90,93,84,62,56,56,62,88,161,157,158,157,156,175,172,165,158,159,156,156,152,154,159,158,140,101,72,52,76,95,121,85,69,56,59,81,96,93,93,93,92,172,172,172,165,161,162,163,161,159,165,162,139,93,78,66,62,64,83,92,84,67,68,62,59,59,61,60,58,176,176,169,163,162,160,160,157,162,168,156,125,87,82,88,87,78,66,69,73,78,71,67,69,69,69,69,68,169,167,161,157,158,150,145,142,150,153,139,116,95,92,91,85,77,69,65,63,74,75,72,69,68,67,66,66,157,154,154,148,141,138,129,131,143,137,121,106,95,89,93,91,81,71,70,74,72,74,74,69,70,68,66,66,135,139,132,130,123,124,121,118,118,107,92,81,78,70,70,76,78,77,76,73,70,72,70,68,69,67,65,66,97,99,103,103,106,98,90,83,77,74,73,72,73,72,68,67,69,74,72,70,71,72,71,69,71,68,66,66,85,73,72,73,67,68,71,71,70,73,75,75,74,74,75,73,73,73,72,72,70,69,71,70,71,69,67,67,72,69,61,54,63,72,74,75,75,76,76,75,74,74,74,73,73,74,73,72,71,68,69,69,68,67,66,67,62,51,48,54,67,76,75,74,76,76,75,74,74,75,74,73,73,73,72,72,71,70,68,69,70,68,67,66,86,77,64,60,65,75,75,76,74,74,74,74,74,74,73,72,72,72,72,72,71,69,68,68,69,67,67,67,94,73,64,61,65,74,76,76,74,74,74,73,73,74,73,72,72,72,72,72,71,69,69,68,68,66,67,68
8,138,140,140,142,142,142,146,142,143,142,141,140,140,140,139,137,135,135,134,133,131,129,129,127,123,123,121,119,140,142,143,143,144,138,125,145,145,144,143,142,142,141,139,138,137,136,135,135,134,132,130,128,125,124,122,121,143,143,145,144,150,134,58,125,154,147,147,145,143,142,141,140,139,137,136,135,135,134,131,129,127,125,124,124,144,145,147,145,151,114,48,106,159,147,148,146,145,145,143,142,141,140,139,138,136,135,133,132,129,126,125,125,144,147,148,148,152,113,39,111,161,149,150,146,147,147,145,145,144,143,141,140,138,136,135,134,131,126,127,126,147,148,149,151,152,108,30,125,159,151,151,153,152,148,147,146,145,143,145,147,137,138,137,135,133,130,129,128,149,150,152,151,155,110,29,122,161,152,153,140,150,154,150,153,147,101,73,116,114,104,143,135,136,134,132,130,151,152,153,152,158,128,43,109,166,155,133,87,76,145,115,87,107,103,62,35,92,68,145,136,136,134,134,131,152,153,153,154,158,124,35,92,171,145,126,109,66,82,101,56,48,112,88,31,50,60,125,145,136,136,135,133,152,154,155,156,157,125,62,69,168,139,134,125,83,57,103,73,55,112,76,32,24,52,63,146,139,136,136,134,153,156,158,159,158,149,111,62,151,142,129,136,90,43,93,89,48,92,64,27,9,62,38,88,149,137,137,135,154,157,157,158,159,157,118,67,116,120,101,133,94,45,70,97,38,73,102,48,9,65,41,56,152,137,138,136,155,157,158,159,160,161,125,115,104,106,77,116,95,41,42,95,43,65,125,51,23,82,33,87,154,138,140,137,157,158,159,161,162,163,156,135,99,86,78,98,97,48,29,70,38,0,52,16,45,84,27,120,150,141,141,138,158,159,160,161,162,162,161,117,82,55,51,72,112,93,29,9,10,19,7,55,98,69,36,144,146,143,142,140,160,159,161,163,164,165,157,116,89,59,42,45,120,105,51,10,62,113,104,94,104,45,53,159,144,143,141,140,159,160,163,164,165,164,164,140,105,64,46,45,91,84,43,54,117,114,115,79,66,23,81,161,145,144,142,140,158,160,165,164,166,166,163,144,108,73,51,45,79,100,101,124,136,109,101,68,38,17,133,155,147,145,143,142,159,161,164,165,167,167,163,149,117,86,62,45,83,140,150,146,130,101,88,60,6,74,163,149,149,146,145,143,160,161,164,166,168,168,159,146,123,90,63,57,100,150,140,136,116,90,75,41,17,148,156,151,149,148,146,144,161,163,164,166,167,168,153,140,130,95,70,70,112,140,137,131,102,82,64,12,88,168,152,151,150,149,146,144,163,164,164,167,169,170,156,146,136,100,80,74,118,132,136,120,90,72,40,25,156,158,154,152,152,150,148,145,164,165,166,169,170,171,165,152,142,110,86,70,113,123,119,101,74,57,6,98,171,156,156,154,152,151,148,146,162,165,168,168,169,172,168,159,140,111,87,75,102,112,100,82,58,21,36,165,160,160,156,155,153,151,148,146,164,166,168,168,169,171,170,156,132,107,90,82,90,104,89,69,42,10,141,167,159,159,156,156,153,151,150,148,165,167,168,168,169,171,170,157,133,117,106,99,88,98,81,61,12,97,177,160,160,159,157,155,152,151,151,148,164,166,169,170,171,169,166,162,140,133,114,106,94,91,66,33,39,169,165,164,162,160,158,155,152,152,150,147,165,167,170,170,173,162,157,164,144,138,111,106,94,71,54,16,100,178,164,165,162,159,159,157,155,153,152,149
10,55,63,75,80,84,89,92,94,98,101,103,104,106,107,109,111,113,115,116,116,117,118,120,121,122,123,124,125,56,64,76,82,85,90,93,95,99,101,104,105,107,109,112,112,109,110,119,118,120,121,122,122,123,125,126,127,57,67,79,84,86,91,94,96,100,103,104,106,108,111,111,121,109,75,118,119,121,122,124,125,126,128,128,129,60,69,79,84,88,92,96,99,101,103,105,108,110,113,111,130,118,62,107,124,122,124,125,127,128,128,129,130,60,71,80,85,89,92,96,100,102,104,106,109,111,113,111,131,122,67,97,126,123,127,128,128,129,129,130,131,61,72,81,85,88,94,98,100,102,105,107,107,110,117,113,124,128,81,86,130,123,126,127,129,130,130,131,131,63,73,83,85,90,95,99,100,102,104,106,111,117,91,112,127,139,97,73,129,126,127,128,130,131,130,131,133,64,76,84,87,92,96,98,101,104,105,107,113,126,68,75,132,136,109,66,122,129,128,129,130,131,134,134,135,65,77,84,87,92,97,98,104,109,110,111,125,112,73,48,127,127,106,63,117,132,131,130,130,132,133,133,133,67,78,85,88,92,98,112,85,76,73,82,118,124,94,49,105,125,94,59,107,134,131,132,132,134,134,135,135,68,79,85,88,91,102,103,66,42,38,35,56,126,110,51,76,114,81,59,96,136,130,134,134,135,137,137,137,69,81,85,90,95,100,95,74,48,36,58,43,98,123,65,69,94,64,59,83,139,131,134,135,136,137,137,137,70,80,86,91,95,99,105,105,103,84,58,35,88,130,80,58,65,51,59,72,139,131,135,136,136,138,137,137,70,80,85,90,95,101,104,101,133,126,58,29,112,132,91,43,37,50,61,64,135,134,136,137,137,137,137,137,70,81,85,90,95,98,102,101,134,119,65,19,127,134,97,52,31,53,63,51,125,137,136,137,139,138,138,138,72,82,86,91,97,96,121,120,131,128,65,12,144,134,96,57,32,48,61,43,113,142,136,138,138,140,140,139,73,83,87,91,98,94,135,132,124,123,54,61,149,123,93,53,32,41,56,33,102,143,135,138,138,140,140,141,74,82,87,93,96,97,116,133,119,114,78,146,136,116,98,56,36,41,44,36,123,139,136,138,140,140,140,141,76,82,86,93,97,101,106,113,94,114,128,160,134,111,94,61,40,42,33,59,143,134,137,138,140,141,141,142,77,82,88,93,98,102,105,116,93,132,157,153,132,107,87,62,42,38,26,97,143,135,137,138,140,142,142,141,76,82,87,92,97,103,104,134,120,106,154,148,128,105,85,64,43,32,34,129,138,137,138,139,141,142,141,141,77,83,88,93,97,101,104,144,133,99,148,145,129,103,83,65,47,25,64,144,134,137,138,140,140,141,142,142,78,83,87,92,96,100,108,151,140,122,153,140,128,106,85,67,45,22,106,141,134,138,140,141,141,141,142,143,77,83,87,92,98,100,111,157,145,132,147,142,136,108,85,68,37,40,136,136,137,139,140,141,142,142,142,143,78,83,89,95,98,101,110,156,139,138,142,139,143,114,82,68,30,72,144,134,137,138,139,141,142,143,143,143,79,83,88,93,98,100,110,149,131,133,141,140,143,117,83,63,27,107,140,135,138,139,140,140,142,143,143,143,78,83,89,94,98,101,109,131,131,143,143,138,138,112,80,51,49,136,135,136,138,139,140,141,141,142,143,144,77,83,89,94,97,102,105,137,144,150,142,132,133,107,77,40,79,142,133,136,137,139,140,141,142,142,143,144
17,188,191,193,195,196,199,199,199,201,201,201,202,201,200,199,199,200,198,196,197,195,195,193,190,189,187,186,183,189,193,195,198,200,200,201,202,203,203,204,204,204,203,203,202,202,201,200,200,197,196,195,193,192,190,187,185,192,197,198,200,202,203,204,204,205,206,207,207,207,206,205,204,204,202,204,203,201,199,197,196,194,192,190,188,194,198,200,202,204,206,205,206,207,208,208,209,210,210,209,204,209,208,202,206,203,202,200,198,196,195,192,190,197,201,203,204,205,207,208,208,209,210,211,212,211,212,208,218,220,178,168,212,204,204,203,202,198,197,195,194,199,203,205,206,208,210,211,211,211,212,213,212,212,213,208,226,249,152,139,215,207,207,205,204,202,200,197,196,202,204,206,209,210,212,213,214,215,215,215,215,215,216,214,215,255,187,147,216,208,209,208,206,205,203,201,200,204,206,210,211,212,213,215,217,217,217,217,219,218,218,217,218,255,226,161,213,212,210,209,208,207,205,204,202,206,210,212,214,215,216,217,218,219,219,219,220,221,219,218,226,255,250,166,201,218,212,212,211,209,208,206,204,209,211,213,216,218,219,220,220,221,223,224,222,221,222,216,241,255,251,169,188,224,216,214,212,212,211,209,207,210,213,216,219,220,220,221,223,223,223,221,222,248,249,209,210,255,255,176,177,226,216,217,214,213,212,211,208,212,215,217,220,222,222,224,224,224,227,231,224,255,255,235,185,211,242,191,169,226,219,218,218,216,214,213,211,214,217,219,221,224,224,226,226,224,255,255,228,207,249,245,255,251,188,158,163,226,221,221,219,218,215,214,212,215,218,221,223,225,225,227,226,231,255,253,243,190,206,187,250,255,209,137,144,226,224,223,221,219,218,217,214,217,219,223,224,226,227,229,229,236,255,182,204,227,147,122,151,255,244,161,122,218,228,223,223,220,220,219,217,218,221,224,225,227,229,231,229,242,255,200,187,177,150,149,124,246,255,199,116,194,233,224,225,223,221,220,218,221,223,225,228,229,232,234,230,245,255,242,201,175,175,184,164,232,255,224,134,186,236,225,227,225,222,220,220,223,224,225,229,232,233,234,231,251,255,210,183,188,205,209,220,255,255,233,151,182,240,228,228,229,232,231,220,223,225,228,230,232,233,234,231,249,255,229,205,202,223,218,255,255,255,220,157,180,242,229,233,219,182,173,146,223,225,227,230,231,232,234,232,245,255,249,217,202,227,240,255,255,253,205,151,185,240,232,224,144,125,123,117,224,226,228,230,232,233,235,235,244,255,255,237,209,232,255,255,255,242,197,143,181,239,237,178,121,128,124,122,223,228,230,232,235,235,237,238,242,255,255,252,229,229,255,255,255,234,191,132,185,254,188,121,110,97,90,76,224,228,232,233,236,238,238,239,240,255,255,255,249,236,255,255,247,227,190,126,177,180,120,109,100,80,78,63,226,229,233,235,236,239,239,239,238,255,255,255,255,240,235,255,236,225,178,129,124,120,119,110,93,69,66,69,220,224,229,232,234,237,238,241,239,255,255,255,253,228,218,234,223,225,173,123,105,116,113,116,106,73,56,59,148,151,156,158,155,156,160,163,161,186,255,255,237,210,206,213,224,216,160,115,81,99,100,98,118,95,57,51,128,132,133,130,130,130,129,128,127,150,255,241,213,198,200,209,221,195,130,106,88,67,91,81,105,113,71,48,140,142,142,138,142,145,143,142,149,100,236,238,207,197,208,205,199,164,102,42,71,61,70,74,85,111,88,53
19,143,151,159,166,171,172,175,178,183,186,189,194,195,198,202,202,204,205,207,210,212,213,214,213,213,215,214,215,144,153,160,168,170,173,177,180,186,189,193,197,199,202,203,205,207,209,211,211,215,216,214,216,214,217,216,216,145,156,163,169,172,176,178,183,187,192,194,197,204,205,202,208,209,211,213,213,215,213,224,208,215,218,218,218,148,157,165,171,175,178,179,185,190,190,210,204,174,195,211,208,210,214,214,216,210,235,251,141,198,222,217,218,150,159,167,173,176,178,183,188,193,190,249,214,160,133,203,211,210,213,225,227,240,242,170,128,213,222,220,220,150,160,170,176,178,179,184,192,196,189,237,233,177,160,212,229,216,222,238,235,213,157,126,200,226,223,222,221,152,161,171,178,179,178,193,181,187,196,217,232,221,230,222,218,209,191,207,183,135,150,209,229,221,224,224,224,155,163,172,179,173,224,234,190,180,187,204,211,203,186,178,187,172,147,144,149,191,231,228,224,226,226,226,227,155,165,174,176,186,251,204,192,197,205,215,213,201,186,180,160,160,128,209,227,232,225,227,227,226,227,228,227,155,165,177,171,203,227,177,179,190,209,213,209,208,200,172,126,115,151,241,227,227,229,229,227,228,229,230,230,157,165,177,172,231,230,195,195,203,196,184,180,180,156,141,119,98,182,237,227,230,230,229,229,232,232,231,231,159,168,175,183,255,242,217,213,215,205,202,195,173,114,114,117,105,209,236,230,232,231,231,231,233,233,232,231,161,170,175,191,255,234,209,191,181,194,196,187,155,115,111,119,118,222,232,232,235,235,234,234,234,233,235,234,162,172,177,187,239,227,194,168,141,135,152,152,151,118,116,113,150,238,230,233,235,235,236,237,236,236,236,235,162,173,179,185,230,229,194,135,121,87,87,147,162,123,121,115,147,242,232,235,235,236,237,238,239,239,236,236,164,175,183,182,228,232,195,148,108,75,132,161,152,114,113,112,121,230,237,236,237,238,240,240,240,240,239,239,164,175,185,177,230,230,194,159,132,98,97,101,94,93,105,116,119,223,240,237,239,239,240,240,240,240,240,240,165,176,184,176,238,233,197,166,135,121,109,89,91,103,110,116,122,227,240,238,238,241,240,239,240,240,239,239,167,177,185,173,236,232,196,163,139,129,128,109,100,105,113,112,134,236,237,240,242,244,243,242,242,244,242,242,168,176,186,171,224,222,190,160,136,128,124,111,101,110,118,113,165,247,236,242,243,244,243,243,244,244,243,243,170,177,187,177,222,215,186,154,135,127,124,112,108,115,122,113,209,246,240,243,243,244,245,245,245,245,246,246,171,180,185,189,228,209,180,150,131,125,126,119,117,121,110,151,242,238,242,244,245,246,246,246,246,246,246,246,171,182,181,196,234,207,174,145,130,128,130,124,119,114,163,233,240,240,243,244,244,245,246,246,246,246,246,246,172,184,182,202,224,202,176,153,135,131,129,125,110,155,241,236,239,242,244,245,245,246,247,246,247,247,248,248,173,183,183,212,216,192,172,154,133,121,119,119,112,206,239,236,242,243,244,247,247,247,248,248,249,250,249,248,173,183,188,234,210,188,160,141,126,114,112,111,125,223,237,240,243,244,245,248,248,248,250,250,250,250,251,251,174,179,197,238,213,194,169,153,153,121,111,105,139,234,236,241,242,244,245,247,247,249,250,250,250,250,251,251,174,184,193,222,216,197,176,167,160,120,112,103,142,237,234,237,240,243,245,246,247,247,249,249,250,250,250,251
0,195,195,195,194,196,196,195,197,196,196,197,199,197,196,196,194,196,197,197,198,197,196,196,198,196,195,195,195,195,195,195,195,197,199,198,200,199,198,195,197,197,197,197,197,197,195,198,199,196,198,198,198,199,196,196,196,197,196,197,198,198,200,201,198,200,201,198,199,201,200,199,200,200,198,198,199,199,198,199,198,199,196,195,195,199,198,199,199,200,201,198,197,193,174,190,202,191,198,202,196,195,202,205,202,204,200,197,199,200,198,196,196,199,201,200,200,201,201,198,205,201,139,94,150,167,145,159,186,173,147,177,194,187,199,204,200,199,200,199,198,198,201,200,202,201,201,203,199,200,142,53,91,177,124,74,146,172,101,73,139,127,110,146,198,201,197,200,199,200,201,201,201,200,198,197,165,184,155,91,75,156,113,60,117,147,89,52,120,122,70,61,126,200,200,200,200,202,203,202,202,201,195,187,155,144,175,133,58,113,115,50,108,134,76,53,133,119,68,68,107,133,212,199,200,201,203,203,203,202,197,187,162,122,131,128,50,97,112,37,94,151,90,47,139,139,73,75,143,92,154,212,200,202,204,203,204,205,196,184,161,123,96,88,58,102,96,24,103,151,74,57,156,150,124,109,118,103,77,203,204,203,204,203,205,203,195,187,178,152,105,81,73,86,73,40,90,120,86,146,164,148,137,111,87,75,68,195,205,204,205,206,206,204,198,194,184,172,144,92,73,66,78,95,93,123,166,178,166,155,127,107,93,65,83,207,204,206,206,207,207,206,199,199,188,180,170,131,78,74,85,94,123,172,182,181,173,157,123,98,88,58,108,219,202,206,206,207,207,206,195,205,197,190,185,160,114,106,98,103,152,179,185,192,179,151,119,94,84,52,154,218,203,206,206,207,207,208,184,203,205,198,194,176,148,138,124,114,154,168,186,196,180,145,113,93,73,77,199,209,205,207,207,207,206,211,186,189,210,208,202,184,167,157,145,131,143,174,192,188,173,134,102,97,63,134,217,205,207,206,208,208,207,212,196,173,207,213,207,192,178,166,157,147,140,160,186,183,163,126,96,92,60,183,215,206,208,207,208,209,207,206,211,163,191,211,212,200,186,176,168,151,140,145,167,167,142,112,94,74,83,211,208,207,207,208,208,210,209,207,216,178,168,208,213,202,180,175,164,150,141,141,154,154,120,97,89,52,140,221,204,208,209,209,209,209,211,212,210,206,159,204,211,191,169,175,160,152,144,127,133,140,110,94,67,85,207,210,207,209,210,210,210,209,211,211,210,210,175,206,210,193,180,188,171,156,140,117,118,124,107,82,61,177,216,210,211,211,211,210,210,210,211,210,210,211,181,206,214,203,186,198,177,154,140,117,109,114,107,62,125,219,207,212,214,212,211,210,210,210,211,211,211,213,173,198,214,209,192,195,174,151,136,119,106,109,103,55,173,217,208,211,214,212,211,210,210,210,210,210,212,215,173,195,215,210,193,185,170,149,134,123,106,102,92,66,195,211,210,211,213,212,211,209,210,209,210,211,211,209,187,201,212,208,195,182,168,152,134,123,108,95,82,78,214,212,211,211,211,211,212,208,210,210,210,211,213,201,193,210,199,202,192,179,166,152,133,121,107,91,78,92,218,208,211,211,211,211,211,209,210,211,212,211,212,198,192,201,198,202,183,170,163,151,133,116,100,89,70,116,215,205,212,211,211,212,211,209,210,211,211,210,213,196,186,198,202,200,182,162,154,147,131,111,89,83,61,148,212,206,212,212,212,211,212
24,158,159,159,159,159,160,160,160,160,159,159,159,158,157,155,155,154,153,151,151,149,148,147,146,144,142,141,139,161,161,161,162,162,162,162,161,161,162,161,161,160,159,158,158,156,155,153,156,153,150,150,148,147,146,143,141,164,164,165,166,165,165,164,163,164,164,165,164,163,162,161,160,159,159,156,129,148,156,152,151,150,148,145,143,166,166,167,166,167,166,166,167,166,166,166,166,165,164,163,162,162,160,162,102,116,163,153,153,151,150,148,146,168,169,168,168,169,171,172,167,167,168,167,167,166,166,165,165,163,163,168,103,110,164,155,155,153,152,150,148,172,171,171,172,174,151,154,175,170,171,171,170,169,168,167,167,165,167,168,100,114,168,159,158,157,155,153,152,173,173,173,173,173,132,97,170,174,174,174,173,172,171,170,170,166,173,165,94,127,170,159,161,159,156,155,155,174,174,174,174,173,142,90,134,184,173,175,176,174,172,172,172,167,179,162,95,140,171,161,161,160,158,156,155,177,176,176,176,180,159,107,104,186,174,176,177,175,174,174,173,175,179,142,87,155,170,165,163,162,161,159,157,178,178,178,178,180,171,125,83,174,180,177,178,181,179,176,169,171,182,124,83,170,168,167,167,164,163,161,159,179,180,179,178,180,178,149,86,143,189,178,179,159,160,179,151,103,133,119,105,180,168,170,168,165,164,163,160,181,181,181,181,181,182,160,102,102,190,181,166,143,124,136,131,100,82,90,131,181,171,172,170,167,166,165,163,183,183,183,183,182,186,164,123,82,172,181,161,157,134,125,116,137,109,56,153,181,173,173,171,169,168,167,164,184,185,184,184,184,186,173,152,100,131,166,157,165,132,135,134,141,105,65,171,178,175,173,173,171,168,168,166,185,186,186,186,185,186,181,168,113,94,127,135,179,136,103,105,128,123,70,157,184,177,175,174,173,171,169,167,186,187,187,187,187,188,188,171,142,128,113,113,162,141,75,53,146,141,81,110,191,176,177,175,175,173,170,167,188,188,188,188,189,189,189,175,178,139,97,77,143,122,72,49,127,158,121,69,163,182,177,177,177,175,172,170,190,190,190,190,190,189,191,179,171,120,96,80,137,112,64,82,171,171,146,70,120,190,176,178,177,175,172,171,190,191,191,192,193,192,193,186,170,147,139,96,133,132,82,150,182,164,129,66,125,190,177,178,177,175,173,172,191,192,193,193,193,194,195,189,173,170,147,104,118,109,132,192,169,149,116,55,149,190,179,180,178,176,175,173,192,192,193,193,193,192,195,191,166,178,156,131,97,114,184,188,165,139,108,63,168,188,180,180,179,179,177,174,192,192,192,192,193,194,195,192,169,166,159,145,106,123,185,177,158,134,95,70,179,184,180,180,179,178,175,174,193,193,193,194,194,195,194,196,169,158,157,154,123,113,176,176,149,122,79,81,189,182,181,179,178,176,173,171,194,194,195,195,195,196,195,199,175,160,160,157,146,110,164,174,141,107,59,112,196,182,183,181,179,175,177,179,194,194,195,194,194,195,195,197,188,166,165,156,156,100,136,155,115,85,45,152,192,182,183,180,180,187,169,134,199,200,202,201,201,204,203,204,201,170,169,157,143,108,107,128,100,65,61,185,188,185,187,191,178,145,82,48,136,139,144,149,151,155,158,161,164,174,167,148,136,126,100,122,105,50,116,193,181,181,168,127,82,49,43,43,94,95,96,96,94,94,94,90,103,177,172,159,155,135,114,123,92,55,91,105,101,91,70,45,45,49,42,41
4,146,149,150,154,156,159,162,163,163,166,167,167,168,170,170,170,169,170,169,167,168,168,167,167,166,165,164,164,146,150,151,156,157,160,163,164,165,167,168,169,169,172,172,170,171,172,171,168,170,167,167,167,168,168,167,166,147,151,154,156,158,161,163,165,167,167,170,170,170,171,173,174,172,172,173,171,170,170,170,169,169,168,167,165,149,153,155,158,160,163,164,166,169,168,170,172,169,181,168,157,175,176,162,174,174,171,171,171,169,167,167,167,151,154,157,159,162,164,166,167,169,169,172,165,194,200,165,125,170,187,140,133,176,175,174,172,171,169,169,168,150,155,159,160,163,165,167,170,165,203,205,163,175,215,165,131,190,185,151,87,157,158,164,177,173,171,169,169,152,157,159,162,165,165,170,168,176,237,235,185,122,209,171,127,213,190,126,116,182,125,98,168,174,170,172,171,155,158,159,165,167,166,172,164,200,226,226,170,113,203,173,133,203,176,157,182,143,113,67,121,182,171,173,173,155,158,162,166,168,170,171,169,221,196,212,151,97,173,184,186,185,209,238,196,114,77,66,108,184,174,175,174,156,161,164,166,169,172,170,179,226,183,196,165,75,152,166,191,208,220,210,189,149,84,50,123,186,174,176,174,157,161,165,166,169,173,167,211,221,176,167,168,65,136,133,102,163,188,174,192,166,106,50,139,186,175,176,176,156,161,165,168,170,170,178,231,190,154,145,109,66,140,135,68,174,137,155,211,177,124,71,163,183,177,177,177,159,163,166,169,172,166,195,234,178,138,130,112,96,114,111,80,166,100,123,240,196,145,84,169,184,178,178,178,159,163,166,169,174,164,213,236,179,136,115,95,100,105,105,119,132,140,157,228,211,155,83,124,190,179,180,179,159,164,167,171,175,167,229,233,179,133,110,96,105,103,132,160,174,211,207,193,193,148,104,89,185,182,182,181,161,164,169,173,175,173,239,231,174,128,128,112,102,94,148,185,211,206,201,181,143,153,115,96,184,182,182,181,161,164,169,172,172,182,247,227,169,145,156,124,104,144,204,220,210,206,187,157,118,124,91,125,192,181,182,181,158,163,165,171,170,186,249,224,184,185,171,129,172,222,237,224,208,197,167,136,111,93,83,167,186,183,182,181,160,163,167,172,170,191,248,233,211,200,182,141,207,231,237,233,191,177,151,128,105,75,121,191,182,185,183,182,160,164,169,173,171,191,249,240,219,194,187,153,212,237,234,218,174,155,138,123,94,80,175,188,185,186,183,183,162,165,168,174,174,180,245,239,221,195,180,170,215,232,213,193,161,137,129,109,73,129,194,184,186,185,185,183,163,165,170,173,176,176,237,229,211,201,182,176,199,208,188,164,145,138,125,86,85,184,190,188,186,184,184,182,161,164,170,173,176,176,232,213,200,206,191,177,189,198,179,153,131,130,112,71,148,195,186,187,186,184,182,181,161,166,169,174,177,176,225,202,199,204,184,161,185,201,175,139,114,117,90,116,196,190,191,188,187,187,186,185,156,159,162,165,171,166,221,212,204,193,181,159,173,200,158,116,105,101,91,165,178,175,176,174,173,172,173,166,97,97,97,96,100,90,214,229,216,199,184,164,161,193,146,108,99,89,81,89,89,87,87,85,85,89,78,96,83,85,85,84,90,72,200,245,221,205,196,170,146,189,155,107,88,81,79,77,76,76,75,74,76,66,115,201,92,93,93,95,99,79,182,246,218,197,193,170,134,181,156,101,85,78,82,85,83,81,83,84,72,129,221,211
7,136,148,160,168,172,175,182,190,195,200,203,206,210,213,215,217,219,221,222,223,223,224,225,224,224,226,225,222,135,148,162,170,174,177,183,192,197,201,204,207,212,215,216,219,220,222,224,226,226,226,226,227,227,227,226,224,135,150,163,172,177,179,186,193,198,202,205,209,214,216,218,220,222,223,226,228,228,228,228,227,227,229,227,225,136,149,162,173,178,181,187,194,199,205,207,212,214,216,219,223,224,225,227,228,228,229,231,230,230,231,228,228,137,151,163,173,178,181,188,194,199,205,209,213,215,219,221,224,225,226,227,230,231,231,231,231,231,231,230,230,138,151,163,174,178,181,188,194,200,206,211,214,215,218,223,225,227,227,229,231,232,232,232,232,232,232,232,231,138,152,164,175,178,183,189,196,202,207,211,215,217,220,223,227,229,230,230,232,232,233,234,233,232,232,233,232,139,152,166,176,177,184,191,197,201,207,211,214,217,220,224,227,230,231,233,236,238,237,236,235,234,234,233,233,140,153,167,178,181,180,185,207,219,214,218,226,227,231,228,220,216,225,221,223,221,222,232,238,236,235,237,235,140,155,169,176,177,196,231,250,244,225,218,237,249,249,244,224,223,244,227,213,204,183,212,215,234,238,238,236,144,154,164,188,226,250,252,244,241,218,196,204,218,225,224,201,202,224,217,202,191,181,198,176,233,246,239,237,136,163,213,248,255,245,245,252,239,207,194,214,235,239,247,221,208,220,209,224,220,200,190,202,210,216,235,241,196,243,255,249,253,248,248,251,233,193,175,181,219,228,227,222,225,216,220,231,232,220,213,218,199,218,202,223,255,255,255,255,255,251,251,255,250,175,138,146,143,132,146,166,168,176,180,180,184,188,186,188,181,194,185,226,255,255,255,255,255,253,255,255,230,157,128,134,135,105,84,93,189,214,217,220,215,213,209,209,209,212,227,240,255,255,255,252,254,254,255,253,197,135,132,141,140,130,114,87,216,246,242,245,245,245,247,246,246,248,243,241,255,255,255,255,255,255,255,254,190,123,108,120,144,163,144,103,172,248,236,240,242,242,241,242,241,242,241,241,255,255,255,255,255,255,255,252,177,121,115,76,84,141,143,117,174,246,240,243,243,245,243,243,242,243,242,240,255,254,251,244,236,233,242,197,157,128,123,116,94,124,153,175,226,238,239,240,240,242,240,240,240,239,238,237,237,237,229,217,201,210,205,164,146,137,131,115,115,129,146,154,152,151,151,152,154,150,147,148,146,144,142,141,213,213,203,196,187,184,173,140,133,126,135,127,125,125,124,121,119,120,117,117,120,119,120,121,121,118,114,112,161,176,175,164,147,137,132,132,132,130,132,134,134,134,135,134,131,137,138,132,132,129,127,128,128,126,123,123,134,137,129,122,126,130,133,133,131,132,132,130,131,132,130,131,128,135,136,133,135,129,125,124,124,125,124,125,109,102,110,129,133,135,135,133,132,133,133,133,133,131,131,131,131,129,127,129,132,127,126,125,124,123,125,118,123,110,114,131,134,135,135,135,136,135,135,136,134,133,134,134,133,131,130,130,130,129,129,125,124,127,118,141,143,122,115,126,134,134,134,134,134,135,135,135,133,132,133,133,133,132,131,130,128,127,128,126,127,121,131,241,126,117,119,119,132,134,134,133,134,135,135,135,134,134,133,133,133,132,131,130,130,128,126,127,124,119,230,242,130,123,116,111,131,134,134,134,134,134,133,133,132,132,132,131,132,131,130,130,129,128,128,125,140,207,223,199
19,118,121,125,130,134,137,140,142,145,147,149,152,152,153,153,153,155,155,153,153,153,151,151,151,150,149,149,149,119,124,127,131,135,139,141,144,147,148,150,152,153,153,154,156,156,154,153,154,154,154,154,153,151,151,150,151,120,124,130,134,137,141,143,145,147,149,153,153,153,154,156,156,157,157,156,155,155,155,154,155,154,154,153,151,120,125,131,135,139,142,144,146,148,150,153,154,155,158,157,156,157,157,158,157,157,156,156,155,155,155,155,153,122,126,131,135,140,142,145,147,149,152,153,155,157,156,159,161,158,158,160,160,158,157,157,156,156,155,155,154,122,126,131,136,141,144,147,149,150,154,154,154,163,153,105,142,163,159,161,161,159,159,158,158,158,156,155,154,123,128,132,138,143,146,148,150,152,154,157,153,175,161,83,83,167,160,162,161,159,160,160,159,158,157,156,156,125,129,134,139,144,147,149,152,154,154,158,156,182,168,100,57,154,166,162,161,160,162,162,160,160,159,158,157,126,130,136,141,145,148,149,150,156,159,160,155,175,154,100,48,134,170,162,163,163,164,162,158,157,161,159,158,127,130,136,141,145,147,154,157,123,109,128,139,128,118,104,89,102,122,130,122,119,130,109,140,162,144,161,159,127,131,137,141,147,146,166,151,108,106,111,120,127,122,118,108,100,111,134,118,114,122,110,163,171,106,163,161,128,133,139,144,145,158,167,154,123,77,74,77,105,109,111,95,91,95,104,102,99,97,98,115,113,123,167,160,129,134,139,144,147,169,179,163,117,60,50,60,61,62,66,58,56,70,83,87,87,95,103,117,143,165,162,162,129,135,140,142,165,177,180,145,104,71,56,67,69,63,31,71,146,161,165,164,167,173,172,172,170,163,162,162,129,137,138,158,182,179,183,160,114,67,53,53,76,76,53,46,140,179,169,171,170,169,168,166,167,166,165,163,131,135,144,179,180,181,191,171,113,62,49,44,59,81,71,48,38,164,174,170,171,172,170,169,169,168,167,166,133,133,167,182,181,188,188,168,115,65,50,59,55,49,51,65,34,140,181,171,172,173,172,171,169,168,168,167,128,150,185,181,183,186,182,167,125,72,48,45,69,62,40,28,53,171,175,173,173,174,173,172,171,169,169,168,133,176,182,181,183,180,182,177,142,74,51,38,55,68,60,20,112,188,171,174,174,174,173,172,171,171,169,168,169,186,180,182,177,177,184,169,122,78,59,52,48,43,60,35,152,182,174,175,175,175,174,174,173,171,170,169,188,176,182,176,165,164,162,142,102,88,81,68,61,44,28,59,175,177,176,176,176,176,175,174,174,172,170,170,177,175,172,166,163,159,148,134,113,92,79,76,68,56,25,133,189,175,177,178,177,177,177,176,174,173,172,171,170,167,169,163,161,160,149,132,134,113,73,64,70,63,35,151,187,177,177,177,178,178,177,176,174,174,174,173,165,167,167,155,156,156,141,121,123,99,44,40,69,47,84,187,177,179,178,177,177,177,177,176,175,175,174,173,165,170,156,146,144,139,121,97,81,59,22,35,58,51,159,182,177,177,176,176,176,177,177,176,176,174,173,172,166,165,146,123,120,120,93,65,58,46,41,56,84,150,181,175,176,177,177,177,176,177,177,175,175,174,174,173,155,150,138,109,86,86,72,54,48,141,155,160,179,181,176,177,177,178,179,178,177,176,177,176,175,175,174,173,130,139,134,96,53,33,33,14,100,184,175,178,175,176,178,178,180,180,180,179,179,177,178,176,176,175,174,174
4,153,156,158,159,163,165,167,171,173,175,179,178,179,182,182,183,184,185,184,184,185,186,186,185,184,184,183,184,157,159,162,164,166,168,170,173,174,176,180,181,182,183,186,192,179,177,188,187,187,188,188,187,187,186,186,186,160,163,165,168,170,171,173,176,178,179,181,187,176,195,233,223,157,111,174,188,189,192,190,190,189,189,188,188,163,166,168,171,173,174,176,181,183,189,216,212,154,127,181,203,144,92,96,129,131,175,195,192,192,192,190,189,166,168,172,174,177,178,186,182,157,215,234,219,161,102,78,173,139,88,67,115,100,105,198,194,195,194,193,192,169,171,174,178,179,182,229,214,153,160,162,216,168,115,55,125,162,118,69,130,132,93,194,196,196,195,195,195,172,174,177,181,179,212,220,211,202,175,112,169,193,134,37,126,194,149,108,125,143,118,183,201,199,199,197,198,175,179,181,182,187,232,202,159,162,132,81,101,191,128,47,166,189,142,100,93,108,107,137,207,201,201,200,200,177,181,185,186,190,238,223,184,163,153,141,90,136,105,74,129,155,125,106,104,100,96,113,181,208,202,201,201,180,183,186,189,188,225,221,202,175,151,138,109,102,119,115,126,151,133,130,112,85,119,126,125,209,205,205,203,181,186,188,192,191,219,221,196,165,135,115,103,108,129,134,152,163,154,144,118,121,160,152,112,167,212,207,206,184,189,191,195,193,226,226,198,170,133,111,102,113,125,143,162,179,185,203,217,203,187,165,142,113,201,209,209,186,190,193,197,196,228,235,206,175,139,112,108,115,129,156,190,184,214,223,215,203,182,151,120,88,160,217,211,188,194,196,198,198,224,239,210,187,155,120,109,111,132,173,193,187,213,211,202,186,165,139,111,90,113,216,214,189,195,197,201,202,224,242,217,197,166,133,115,116,134,181,197,207,215,217,201,177,157,135,108,92,99,212,217,192,198,200,204,204,226,246,224,205,174,145,128,128,131,174,204,217,219,214,202,175,150,124,103,86,119,223,219,194,199,202,205,206,222,245,231,213,182,154,147,141,135,171,206,219,219,215,202,168,138,113,98,81,176,227,221,196,200,204,207,209,218,240,237,225,193,167,160,153,143,179,202,218,220,216,195,161,128,108,93,94,218,224,224,198,202,206,208,209,214,235,239,231,205,180,170,160,150,184,202,208,219,207,180,149,124,106,82,139,232,225,225,201,205,208,211,215,212,228,238,232,210,191,178,165,156,178,208,208,207,189,162,138,118,103,81,195,231,227,227,205,209,209,212,216,216,216,233,226,211,193,181,169,155,153,196,202,187,169,144,127,114,95,107,231,229,229,229,207,209,212,215,218,221,208,228,229,214,192,182,173,154,139,183,200,184,159,133,114,112,84,173,236,229,230,230,209,212,215,218,221,225,210,230,235,217,193,181,176,158,139,172,190,174,148,122,106,87,128,232,231,232,231,231,212,214,217,220,223,226,214,233,234,209,185,177,176,154,136,164,175,160,128,109,85,122,224,235,233,233,232,234,213,216,220,223,224,227,219,236,229,201,180,182,179,161,140,153,156,144,112,94,101,219,238,234,236,239,240,229,213,218,221,222,225,229,214,233,236,204,193,195,187,173,144,139,138,133,105,80,180,239,235,239,237,207,152,106,217,220,223,224,227,232,215,233,242,210,205,213,190,177,143,127,126,128,95,94,224,235,241,201,121,73,58,54,219,221,223,225,228,234,179,229,247,228,226,223,192,176,142,123,126,128,86,126,239,240,182,87,66,44,44,39
0,185,182,184,184,185,184,183,181,183,184,184,184,184,183,182,182,181,180,180,178,176,174,174,175,172,170,170,170,188,188,187,187,187,188,187,187,187,187,186,186,186,185,184,184,182,181,181,180,179,178,177,178,175,173,172,171,190,191,190,190,190,191,190,191,189,188,188,188,188,186,187,186,184,182,183,181,181,179,179,179,176,173,172,172,190,191,191,191,191,190,190,191,191,190,191,190,189,187,189,187,186,186,185,181,182,182,180,179,179,177,176,174,192,192,192,191,192,191,191,191,192,191,192,193,192,190,190,194,189,188,191,190,184,183,183,182,181,179,178,178,195,194,194,193,192,192,192,192,193,192,193,192,191,193,185,166,186,195,167,162,191,155,149,190,181,180,180,180,194,194,195,195,193,193,192,192,193,192,193,197,199,189,142,94,90,148,116,81,108,159,81,182,185,182,182,178,195,196,196,195,195,196,197,196,198,201,197,170,139,154,137,102,44,53,122,84,39,157,81,133,201,180,184,180,196,197,198,197,196,196,195,196,173,172,182,144,77,51,132,111,79,64,124,91,42,129,123,51,170,193,181,183,198,199,199,199,198,198,194,180,129,72,157,138,90,36,120,122,96,61,133,96,31,93,140,66,61,168,188,183,199,198,199,199,198,199,180,171,138,78,137,147,105,51,114,130,83,57,140,100,25,43,146,108,46,82,203,181,199,200,201,200,202,195,165,162,153,104,117,158,104,56,87,133,80,38,108,82,15,46,153,120,36,93,204,183,202,202,201,201,202,189,149,138,152,115,97,149,97,53,66,132,78,2,31,30,0,108,162,111,21,156,196,186,204,203,200,201,200,183,171,121,131,109,59,126,105,65,24,62,32,0,6,7,59,155,154,76,52,199,188,190,205,204,202,203,197,174,148,84,95,59,5,85,96,56,0,0,1,56,111,89,130,156,129,37,111,206,188,191,204,206,205,208,193,171,158,112,72,27,0,15,41,0,0,22,109,158,154,138,112,137,98,11,166,200,190,191,205,206,205,209,190,175,173,142,93,68,48,51,63,69,97,140,164,156,146,139,92,90,51,26,202,194,193,192,207,207,206,209,188,176,183,149,115,89,76,89,125,157,168,173,174,158,138,124,70,49,0,123,210,194,194,192,206,207,206,210,189,167,183,154,123,85,88,99,157,174,176,179,172,144,123,104,58,0,78,209,196,196,196,195,205,207,205,208,196,155,172,157,132,102,96,120,176,179,176,179,157,126,102,83,11,44,206,199,197,198,198,196,205,206,206,206,206,159,168,165,140,126,110,137,173,179,177,163,132,112,87,41,10,184,203,197,197,197,196,195,206,206,206,206,212,171,153,168,156,139,112,141,169,169,166,143,110,91,63,0,141,211,193,198,197,196,195,193,207,207,208,205,209,190,147,163,154,133,110,131,159,150,139,114,85,65,0,93,216,196,200,198,197,196,195,194,207,207,207,207,208,206,156,158,144,124,110,122,147,133,115,89,60,0,55,209,201,202,200,198,198,198,197,196,207,206,206,208,209,203,165,158,135,115,111,116,138,123,91,71,8,46,204,204,202,203,202,200,199,198,198,196,206,205,206,206,208,192,164,155,144,140,134,121,129,118,78,32,10,195,208,203,204,204,202,200,199,199,197,196,211,210,211,210,214,168,162,165,159,153,139,125,123,101,56,0,104,223,200,206,204,203,204,202,201,201,196,193,164,168,173,176,180,150,167,176,164,150,139,127,106,71,42,2,162,211,204,206,206,204,203,202,200,199,197,194
14,142,143,143,144,143,144,144,144,145,143,143,144,144,144,144,142,142,140,139,138,137,137,136,135,134,133,131,130,145,146,146,147,146,146,146,147,146,146,146,147,147,146,146,144,144,142,142,141,139,140,139,137,137,135,133,133,147,147,148,149,148,147,149,149,148,147,148,148,148,147,149,150,147,146,146,146,144,142,140,141,140,139,137,135,149,151,150,150,152,152,151,151,151,150,150,152,151,150,141,133,142,145,142,139,139,145,148,140,142,141,140,139,152,153,152,153,153,153,153,153,153,152,153,154,152,146,132,113,120,124,118,124,118,90,122,154,143,142,141,140,154,154,155,154,155,156,155,155,155,154,153,135,131,141,147,143,138,124,86,96,114,88,61,107,151,147,143,141,156,156,156,156,158,158,155,156,157,155,154,153,149,154,154,146,138,128,110,82,92,104,78,72,108,136,146,143,158,158,158,158,158,158,158,157,157,156,156,144,127,119,109,95,74,77,109,113,113,120,77,83,103,78,142,149,159,159,160,160,160,160,160,159,159,160,154,126,122,125,100,74,58,58,55,81,97,82,54,41,68,43,67,148,160,161,160,160,161,161,161,162,159,144,145,155,152,137,118,101,101,126,77,119,137,111,133,94,44,39,34,79,163,163,162,162,162,162,163,164,157,146,151,145,133,106,89,83,81,73,82,158,163,163,158,169,124,34,50,55,164,164,164,164,164,163,164,165,154,147,141,113,84,40,24,27,25,57,153,161,158,157,158,155,74,60,74,70,164,165,165,165,165,165,164,163,154,145,101,57,29,21,26,29,15,110,174,158,161,158,168,106,59,90,83,59,165,166,167,166,168,167,167,162,156,139,86,40,30,32,35,41,27,127,170,161,162,164,148,69,80,87,75,49,168,168,168,168,168,168,169,163,154,135,88,36,34,35,33,35,27,150,168,163,161,172,99,59,80,81,53,90,170,169,169,169,170,170,171,162,155,122,62,35,47,33,31,32,17,129,183,161,169,147,67,64,69,70,47,144,170,170,170,170,170,171,169,158,155,119,73,58,45,32,33,29,17,33,121,170,168,77,70,77,68,40,104,168,172,172,172,172,170,172,166,157,158,131,86,60,39,33,38,37,39,39,33,89,88,52,75,76,54,74,167,158,172,173,173,172,171,173,167,154,157,126,86,65,40,35,44,50,53,58,62,60,49,63,73,64,54,151,166,160,173,174,173,172,172,174,167,150,153,127,102,67,36,37,46,58,59,63,69,79,75,59,79,50,113,175,162,162,173,173,174,173,172,176,168,145,150,134,102,66,45,35,47,62,64,64,69,81,81,69,56,57,163,167,165,164,173,173,174,175,174,177,168,148,156,136,110,82,54,35,49,65,66,68,75,87,86,74,41,111,177,166,166,165,175,174,175,177,176,177,167,150,158,134,106,78,60,37,45,68,67,72,81,88,83,57,71,176,169,169,167,166,177,177,177,177,177,179,166,152,155,126,101,82,65,45,40,69,67,72,84,83,77,39,118,181,168,170,168,166,176,176,177,177,175,180,164,150,152,122,97,85,68,51,37,60,67,71,79,77,61,48,165,173,170,170,169,168,176,176,176,177,176,180,161,145,148,118,97,87,66,52,38,53,68,66,69,69,32,114,183,170,171,170,169,168,176,176,177,177,176,180,162,140,139,117,97,77,61,52,41,48,63,62,63,41,73,175,170,171,170,170,168,167,177,177,178,178,177,181,160,138,133,115,92,74,62,53,43,47,56,58,45,60,168,176,171,171,171,170,169,167
12,167,171,174,177,179,181,183,185,188,189,189,189,190,192,191,189,189,192,194,188,189,188,188,188,188,187,186,184,168,171,175,177,179,183,185,187,188,189,190,191,191,184,183,195,192,168,170,195,191,191,191,188,189,188,188,187,169,171,175,178,181,183,186,188,189,191,193,190,202,189,159,169,204,185,141,160,182,157,176,194,190,190,189,188,170,174,176,180,182,185,187,189,190,193,192,193,219,217,194,149,156,214,183,124,135,160,128,185,194,191,191,189,172,175,177,180,183,187,188,190,191,193,190,211,205,207,206,164,111,176,186,131,96,149,131,132,198,191,191,191,174,176,178,181,185,188,189,192,194,194,190,220,178,194,206,153,108,165,174,128,98,128,135,101,189,194,192,192,175,177,181,183,187,189,191,194,193,195,198,160,139,197,187,140,101,171,166,120,102,136,124,106,194,193,194,192,176,180,182,185,188,191,194,192,201,219,201,141,107,149,179,157,92,159,193,136,104,158,129,120,202,192,193,193,178,181,184,187,189,192,192,206,219,212,203,158,108,112,188,153,82,164,203,129,111,190,130,148,205,194,195,194,180,182,186,189,193,192,204,219,184,185,212,164,108,76,150,140,62,109,189,119,101,169,131,186,201,197,197,196,181,185,188,191,194,194,216,212,185,167,196,155,112,74,87,89,86,112,123,136,141,148,106,173,206,196,197,197,183,187,190,193,194,202,208,184,162,132,180,156,115,79,86,90,163,204,171,168,151,141,122,130,207,198,198,198,184,189,192,195,196,199,215,191,169,121,159,156,112,83,95,136,186,197,188,166,141,117,131,113,193,203,199,199,186,191,193,196,197,201,216,195,173,136,138,158,134,89,119,176,196,191,185,168,140,117,114,112,200,203,200,200,188,192,195,198,198,209,220,201,181,156,122,150,149,100,176,202,199,193,190,155,134,116,89,146,212,200,199,198,192,195,198,201,200,215,221,207,189,163,138,130,129,154,207,205,205,203,180,139,128,107,95,196,205,205,209,208,193,197,199,202,202,218,219,210,194,169,159,144,142,182,194,201,209,198,162,132,125,89,140,224,208,194,167,139,195,199,201,203,204,213,215,215,199,177,171,155,150,177,182,203,207,185,148,127,116,90,172,160,121,91,76,73,198,202,203,205,206,207,218,216,201,185,180,164,153,184,179,206,201,167,137,119,107,88,85,70,67,69,71,69,200,204,205,207,210,205,215,211,200,189,185,170,156,183,193,189,181,150,125,112,98,70,67,68,69,67,70,63,203,205,208,210,213,207,210,212,200,189,181,172,164,174,191,173,157,137,118,110,78,56,72,70,59,61,73,68,203,206,209,210,214,206,206,216,201,188,178,168,157,162,178,164,145,129,113,101,68,49,63,76,62,54,65,72,204,206,209,211,216,205,208,213,194,181,176,166,152,160,171,156,130,121,108,82,79,52,51,69,73,56,56,68,206,208,211,214,217,206,210,209,180,171,172,160,150,163,161,145,118,111,74,62,80,66,41,56,71,66,51,58,207,210,212,215,219,205,211,216,180,178,179,168,158,164,150,133,114,94,58,51,70,76,44,45,61,71,60,50,208,211,214,214,222,189,207,217,187,193,191,172,157,160,142,128,108,76,67,48,59,74,56,38,51,67,68,52,212,215,218,217,232,143,189,222,202,212,195,166,159,159,137,123,100,68,65,52,46,67,65,38,42,60,69,60,187,191,196,199,210,113,130,216,202,207,182,156,162,158,133,120,88,73,61,55,40,61,67,43,37,54,67,66
0,197,195,195,196,197,196,196,197,197,197,200,200,196,198,198,198,199,197,198,199,196,196,196,198,198,196,195,195,197,196,197,197,198,199,199,199,199,200,200,200,201,198,197,197,198,195,199,200,197,199,198,199,199,197,198,197,197,198,199,198,198,200,200,198,201,203,199,200,203,201,198,199,199,198,199,199,198,199,199,199,199,197,197,196,199,200,200,200,201,201,199,199,193,184,200,198,196,201,200,194,195,205,203,203,204,199,197,200,200,199,198,198,201,199,200,201,202,201,198,210,192,125,115,168,165,147,175,184,163,148,191,190,189,204,203,199,200,201,199,199,201,200,200,202,201,203,201,205,199,120,44,131,172,104,90,174,156,86,87,148,117,114,158,204,200,199,199,199,202,201,201,201,198,201,195,168,192,137,73,103,157,95,61,147,130,76,61,139,112,61,72,144,208,199,201,200,202,202,203,203,198,195,184,145,161,172,105,67,134,96,52,132,124,61,68,145,106,56,85,106,152,213,198,201,203,203,204,203,200,195,183,153,122,144,110,46,118,92,35,120,144,66,66,153,122,62,98,141,88,175,209,198,204,203,203,204,202,195,179,150,114,99,80,61,112,77,26,131,138,54,84,164,143,119,112,119,89,99,216,199,204,205,205,205,202,193,184,170,141,95,80,75,86,67,42,110,108,94,157,158,147,133,107,83,68,94,212,200,205,206,206,207,202,198,190,181,166,128,83,72,65,85,95,98,134,170,174,165,150,121,105,87,56,119,217,200,206,206,206,209,204,200,196,184,177,161,111,74,76,91,98,136,178,182,180,172,152,115,95,85,53,148,219,202,207,207,207,208,203,199,205,192,188,179,144,106,107,94,114,164,180,189,194,175,144,112,91,79,60,190,213,204,206,208,208,208,205,188,209,203,199,192,170,145,138,116,122,163,175,191,199,175,137,107,90,64,104,217,206,206,208,209,209,208,210,181,199,211,208,198,181,165,155,143,133,157,181,194,187,168,126,99,92,63,168,216,207,207,209,209,209,209,216,183,184,211,213,203,190,175,164,154,147,145,171,191,178,158,117,96,81,81,208,208,208,208,209,209,208,209,213,198,164,203,212,211,197,185,174,164,147,140,154,173,164,138,109,95,63,117,222,206,208,209,209,209,209,209,210,214,165,183,212,214,196,179,174,164,148,140,147,160,149,117,98,89,57,179,215,207,210,209,209,209,210,212,208,216,188,167,213,209,184,172,174,158,153,140,130,140,137,105,92,59,112,217,209,207,211,210,210,210,212,213,210,213,202,179,209,210,188,183,188,165,155,136,118,121,127,103,75,72,196,213,210,211,212,212,210,210,212,213,212,213,207,184,212,215,198,188,198,172,152,135,115,108,117,102,58,155,220,211,213,213,213,213,210,211,212,213,211,214,208,174,209,215,205,193,193,168,149,132,117,104,113,90,68,198,215,213,214,213,213,213,210,209,211,211,212,215,208,169,208,213,206,191,183,165,146,132,121,101,108,80,87,211,208,215,214,214,214,214,209,208,209,209,211,214,205,184,206,214,205,193,179,165,149,130,122,102,100,71,106,227,209,214,214,214,214,214,210,210,209,210,211,213,197,197,207,203,202,188,178,164,149,130,120,99,94,67,125,227,209,213,213,214,214,214,211,212,210,211,212,213,194,193,202,199,200,179,169,160,149,129,114,92,88,64,147,216,208,212,212,212,213,213,212,211,209,211,214,214,191,187,199,203,200,177,158,153,147,130,110,86,82,62,173,214,210,213,213,213,213,213
24,196,198,199,199,200,201,201,202,201,201,201,201,202,202,200,199,198,196,195,196,194,192,191,191,189,187,184,182,200,201,203,203,204,204,205,204,205,205,205,205,205,204,204,204,203,201,199,198,197,196,195,192,191,190,189,186,204,205,207,207,207,207,208,208,208,207,207,208,208,208,207,206,205,204,203,201,200,198,199,200,195,194,192,190,207,208,209,210,211,212,213,212,211,211,211,211,211,211,211,209,207,207,206,205,204,204,181,176,203,197,195,194,211,211,213,213,212,213,213,214,214,213,213,212,213,213,213,212,211,210,208,208,205,210,173,120,202,200,197,195,214,214,214,216,217,216,215,217,217,222,216,215,215,215,214,213,213,212,212,211,207,217,177,115,200,204,200,197,217,217,217,219,221,219,219,222,210,175,219,220,219,219,219,217,215,215,214,213,210,221,168,120,207,206,203,200,219,220,221,221,221,221,221,223,201,127,173,231,221,223,222,221,220,218,217,215,215,225,158,130,215,206,206,204,220,222,222,223,224,222,222,226,202,150,127,229,223,224,225,223,222,221,220,214,224,224,151,143,221,208,207,205,223,224,225,226,226,226,226,227,221,176,111,208,232,224,226,224,222,222,222,222,231,205,125,160,225,211,211,208,225,227,227,228,228,229,228,227,229,195,117,173,240,225,227,230,230,226,222,210,234,197,104,184,224,215,215,212,227,229,229,229,229,229,229,229,231,213,150,132,238,228,231,212,192,222,212,150,140,183,117,215,221,217,216,213,229,230,231,231,231,231,232,231,234,221,173,105,212,239,218,195,167,164,173,150,112,118,135,230,220,220,218,215,230,233,233,233,234,234,234,234,235,229,186,119,166,246,206,208,181,168,154,171,171,83,150,237,220,221,220,218,233,234,235,236,236,235,235,236,235,234,207,166,127,214,191,221,183,172,175,179,161,85,177,236,223,223,221,219,235,236,236,236,237,237,237,236,235,237,222,183,119,156,162,215,205,140,124,157,179,110,149,240,224,226,223,221,235,236,237,237,238,239,238,238,239,241,230,201,183,152,142,178,204,128,61,148,199,138,102,227,228,226,224,222,237,239,240,240,240,240,240,240,240,243,231,228,203,139,102,151,182,109,69,128,209,185,104,158,241,225,226,226,240,241,242,242,242,242,243,242,242,244,236,225,180,137,113,153,169,109,86,205,222,203,126,110,237,227,227,226,242,242,243,244,244,244,244,244,245,245,243,225,204,190,143,149,185,125,163,237,215,184,108,121,240,228,228,227,243,244,244,244,245,247,246,246,246,247,247,225,219,207,151,145,144,154,237,229,196,171,89,145,247,229,230,229,242,243,243,244,245,246,246,246,245,247,248,222,218,219,177,149,124,220,240,222,188,159,86,172,247,228,230,229,243,243,244,245,246,245,245,246,247,248,247,228,211,209,192,162,132,220,230,210,181,146,83,195,242,229,230,228,244,244,245,246,246,246,247,248,249,246,250,230,204,204,201,183,139,201,233,204,165,123,85,217,238,231,230,228,245,245,245,246,246,248,248,248,249,249,251,239,207,208,201,201,151,180,227,192,149,96,107,243,234,234,231,229,245,245,245,247,248,249,249,247,248,250,249,250,219,214,202,205,154,144,202,159,122,67,149,251,232,235,232,232,239,242,245,247,249,251,252,252,255,255,255,255,229,217,204,192,157,133,160,146,103,67,208,246,236,238,238,223,151,155,160,164,168,173,180,183,187,192,196,199,218,222,197,181,172,142,146,154,84,110,237,228,229,217,164,107
14,148,150,150,152,153,153,153,153,154,153,152,152,151,149,149,149,148,147,146,145,144,142,141,140,139,138,137,136,149,151,152,152,154,154,155,155,155,154,154,154,153,153,151,149,148,148,148,147,145,143,143,142,141,138,137,136,151,152,153,154,155,156,156,156,156,157,158,157,156,147,151,158,154,149,149,148,146,145,143,142,143,141,138,138,153,154,155,155,156,156,157,158,158,157,149,136,133,107,96,116,133,154,154,151,148,148,146,144,143,142,141,139,153,155,156,157,158,158,158,159,160,147,124,106,84,63,54,71,81,108,130,147,152,149,147,146,144,144,142,140,155,156,157,158,160,159,160,160,155,137,102,68,56,56,54,63,80,86,90,95,153,149,148,147,145,145,143,141,156,157,159,160,160,161,159,152,139,113,63,40,44,48,45,47,53,71,65,65,152,153,149,149,147,145,144,142,157,157,159,161,162,163,155,139,121,77,50,43,38,43,44,47,44,55,59,56,92,150,151,149,148,147,145,143,157,157,160,162,162,164,153,137,96,49,52,47,46,45,45,39,43,44,62,69,60,148,153,150,148,148,145,144,158,160,161,162,163,164,158,141,103,49,47,43,47,50,43,109,112,120,78,52,55,123,161,152,150,149,148,146,159,161,162,164,164,164,159,140,105,52,43,40,49,42,78,172,166,170,152,94,69,71,108,140,152,148,149,147,159,161,163,164,164,165,159,142,97,54,55,48,39,61,156,164,161,161,163,158,95,87,76,108,158,148,149,148,161,162,163,164,166,166,160,146,107,70,59,54,43,128,174,163,164,162,165,122,92,94,73,119,159,150,150,149,161,162,164,164,166,165,159,150,117,81,60,51,47,149,169,166,164,167,151,92,91,85,70,148,156,151,151,149,163,164,166,167,168,162,158,153,120,87,65,46,60,171,169,165,165,167,105,80,88,70,93,163,154,154,152,151,163,165,167,168,168,160,158,150,121,91,63,48,52,131,164,171,173,134,86,75,81,50,124,163,154,154,152,151,162,165,167,167,168,161,158,150,121,91,65,54,52,56,75,125,140,85,89,86,59,82,161,157,157,156,154,152,164,165,167,168,169,159,162,154,119,94,70,54,57,63,66,69,70,73,84,71,74,158,161,158,156,155,155,153,165,167,168,169,168,156,165,152,117,92,73,53,55,62,69,75,71,69,79,64,147,166,159,159,157,155,154,153,165,167,168,170,166,156,165,147,113,93,77,54,54,63,68,73,77,70,53,118,172,161,161,160,158,156,154,153,165,168,169,172,165,157,161,143,113,98,78,55,55,67,73,75,74,59,76,166,164,163,162,160,158,157,156,154,166,168,168,172,162,159,155,134,112,97,77,54,56,70,75,76,67,55,156,168,164,164,163,161,160,157,157,155,166,167,168,172,163,156,146,129,107,92,76,54,56,71,73,71,47,99,178,165,166,164,162,161,161,158,156,155,166,168,169,172,162,153,145,128,103,89,73,55,57,67,69,57,55,162,169,166,166,164,162,162,161,159,157,155,167,168,169,170,164,148,139,123,101,82,69,55,56,64,62,40,134,177,166,167,166,166,164,162,161,159,158,156,167,168,170,170,163,145,139,121,98,78,65,52,54,46,43,124,179,168,170,169,167,165,164,162,162,160,158,157,166,169,169,169,162,145,135,120,98,76,59,48,45,69,142,178,171,171,170,169,167,165,164,163,162,161,159,157,165,168,166,168,154,136,131,119,97,70,55,38,94,177,177,168,169,170,168,168,166,164,164,161,161,159,157,156
20,160,164,170,173,176,179,181,183,184,186,188,185,184,185,185,181,184,166,178,180,177,176,175,173,171,170,169,168,162,167,173,176,179,181,185,186,188,189,189,190,188,187,185,188,204,118,135,186,180,177,177,174,174,174,171,170,163,169,173,177,181,184,186,188,189,190,191,190,189,189,186,199,204,112,91,154,129,181,178,177,177,176,174,171,167,171,175,179,182,187,188,191,192,193,193,191,191,192,187,204,196,102,97,168,78,164,186,180,179,177,176,174,168,173,178,181,185,188,190,195,196,194,196,197,195,193,188,218,204,106,103,170,83,151,190,181,182,179,178,177,170,175,179,182,186,190,192,196,196,195,197,198,197,197,191,230,196,106,115,171,92,152,194,183,184,182,180,177,172,178,181,185,188,191,195,197,196,198,198,199,199,196,201,220,165,90,151,188,101,144,198,185,186,184,181,180,174,180,184,187,190,193,195,198,198,199,200,200,204,202,214,215,154,70,159,175,94,143,200,187,187,186,184,181,176,182,187,189,192,195,197,201,200,202,203,202,178,159,226,217,145,69,172,167,81,151,200,189,189,188,187,183,178,183,187,190,195,197,199,201,204,206,203,215,172,86,197,189,90,100,202,161,84,163,203,192,191,190,188,186,180,185,189,192,196,199,201,203,207,207,215,231,187,129,134,91,40,125,184,142,76,179,201,193,191,192,189,187,182,186,189,195,198,201,205,205,207,204,170,195,212,171,108,76,56,120,137,101,77,199,198,196,196,195,192,190,184,188,192,197,200,203,206,206,224,218,135,137,219,158,143,134,125,131,92,69,113,214,198,199,197,196,194,191,184,189,195,198,202,205,206,215,243,230,164,143,183,172,166,148,161,144,67,45,159,212,199,199,198,197,194,193,187,191,198,200,204,208,204,231,226,235,165,132,203,184,144,142,144,120,85,38,169,213,202,201,200,197,197,195,188,192,198,202,205,208,208,249,218,203,183,104,163,150,57,62,144,133,110,46,163,217,203,203,201,199,200,196,190,195,200,204,208,208,218,242,193,183,184,78,44,49,20,20,139,179,127,68,93,218,205,205,203,202,198,197,192,196,200,205,209,211,217,254,235,209,165,129,74,21,73,165,179,190,148,91,43,174,215,205,205,203,201,199,192,197,203,206,209,211,220,255,243,205,157,178,97,59,192,231,206,168,142,94,54,158,220,205,206,205,203,198,193,199,204,207,210,213,221,255,247,195,153,136,78,143,236,205,176,160,103,93,56,189,215,207,208,206,204,200,194,200,206,208,212,214,221,254,240,194,189,122,144,243,219,174,143,158,98,63,76,220,210,210,209,208,204,203,196,201,207,210,215,216,221,249,237,206,197,131,193,241,201,175,151,147,119,37,124,230,211,212,211,208,206,204,196,202,207,212,215,217,221,238,232,209,197,138,181,213,185,168,139,123,97,38,192,222,213,213,211,209,207,204,197,203,208,212,213,220,224,237,230,212,187,141,139,170,157,136,110,103,44,113,232,214,216,215,213,211,208,205,196,201,206,209,224,194,68,173,225,206,148,106,110,125,148,123,93,52,51,214,222,218,216,215,214,212,208,206,195,199,203,215,207,78,27,45,149,167,121,113,122,126,154,113,71,34,173,229,215,217,216,215,212,209,207,205,195,200,208,213,90,31,48,34,44,119,142,133,126,127,138,95,36,132,237,217,219,217,216,214,212,210,208,205,196,200,218,117,39,52,33,39,32,40,95,108,112,110,96,60,63,220,225,221,219,217,217,215,214,212,209,207
3,100,92,34,74,103,118,128,141,149,155,160,164,168,171,173,176,179,181,185,185,187,190,191,194,195,196,195,196,108,86,35,81,108,122,132,144,151,158,163,167,170,172,174,178,181,180,182,189,189,192,193,195,196,197,198,199,115,81,38,87,111,123,135,147,153,159,165,168,170,173,177,179,183,192,140,182,194,194,195,196,196,198,200,199,117,69,41,91,112,124,136,147,154,161,166,169,172,174,178,181,187,208,131,163,198,193,196,197,199,200,201,201,118,59,49,94,114,125,137,149,156,162,166,170,172,176,180,182,190,206,127,162,199,195,198,200,200,201,202,202,117,51,58,97,115,127,140,151,157,164,169,171,175,178,183,183,195,210,128,168,199,195,199,200,201,202,203,203,115,43,64,100,118,128,142,153,159,166,171,175,179,177,177,178,206,197,125,171,203,199,201,202,203,204,205,205,111,40,73,103,120,130,144,155,161,167,169,172,172,211,194,152,196,170,117,174,205,201,203,203,204,205,205,206,104,39,79,106,122,133,146,155,163,165,189,197,161,181,220,169,139,159,115,185,204,203,204,205,205,207,208,208,94,39,85,108,123,135,148,158,163,161,197,234,205,144,178,182,144,171,123,197,202,204,205,206,208,209,210,210,83,42,90,111,125,137,151,157,167,212,193,155,195,165,135,211,185,164,115,192,207,203,207,209,209,210,211,212,71,47,93,112,128,139,152,156,177,226,210,157,131,181,131,135,152,170,118,143,209,206,209,209,211,211,212,213,60,53,97,114,129,141,154,155,187,196,147,180,160,161,168,91,121,188,179,130,168,215,209,211,212,213,213,213,50,61,99,117,130,141,156,154,196,189,113,133,135,125,136,131,126,170,199,136,162,218,210,212,212,214,215,214,40,68,102,118,131,143,157,156,199,190,163,136,105,121,137,153,132,177,200,128,181,219,212,214,214,216,215,216,36,74,104,118,131,144,155,156,211,204,161,125,112,134,159,160,145,201,207,129,196,216,212,215,216,216,217,217,35,80,105,121,132,144,155,159,210,191,142,120,124,146,172,175,193,219,193,126,201,215,214,215,216,217,217,218,38,83,106,122,133,144,157,158,207,198,156,132,126,153,180,203,227,207,175,123,203,215,216,217,217,218,218,219,43,86,109,124,134,146,157,157,205,206,166,139,133,152,194,229,227,190,147,132,215,216,217,218,218,217,218,220,48,89,110,125,135,147,158,157,202,215,183,145,141,157,214,228,219,189,124,140,222,214,218,218,218,218,219,219,52,91,111,124,135,148,158,159,193,214,185,159,150,162,222,226,209,182,116,154,223,214,218,218,218,219,219,219,56,95,111,123,135,147,157,162,180,203,189,178,165,167,215,217,195,173,111,178,222,214,217,218,219,220,220,220,61,96,113,125,136,148,156,163,171,196,198,185,179,163,197,198,179,153,115,203,218,216,218,218,219,220,220,220,66,98,114,125,136,149,156,163,169,201,204,189,173,156,174,179,170,144,134,220,215,217,219,219,220,221,220,220,69,98,114,125,136,149,157,165,168,215,210,185,166,153,167,165,171,128,175,221,214,217,219,220,220,221,221,221,73,99,115,125,137,149,157,165,172,225,210,188,171,159,176,164,152,122,206,215,216,218,219,219,220,221,221,221,78,101,115,126,136,149,156,163,175,224,219,203,169,174,185,154,123,138,217,212,216,217,219,220,220,222,222,221,81,103,117,127,137,149,156,163,176,225,228,205,168,182,176,146,108,153,219,213,216,217,219,220,221,223,224,223
6,225,228,230,232,234,235,236,238,237,237,237,236,235,233,232,232,230,228,227,225,224,222,218,217,215,213,211,209,225,227,232,235,236,237,237,238,239,240,238,236,235,235,235,234,233,231,227,227,227,225,222,219,217,215,213,211,228,232,236,237,237,238,241,242,242,242,240,239,240,237,235,234,234,233,231,229,227,226,225,222,219,216,214,213,230,234,237,238,239,241,242,243,243,243,242,241,240,239,237,236,235,235,234,232,230,227,225,223,221,218,217,216,231,235,239,239,241,244,243,243,245,244,244,242,242,241,241,239,237,236,234,233,231,228,227,225,221,220,218,217,231,236,239,241,243,244,244,245,245,245,245,245,245,243,241,240,238,236,234,235,233,231,229,229,225,221,221,218,232,236,240,242,244,244,244,245,245,245,245,244,245,244,243,244,244,244,241,238,238,237,234,227,222,217,215,216,234,237,240,243,245,245,244,246,246,246,251,251,252,249,245,237,226,209,194,176,160,171,173,162,147,168,198,178,234,239,242,243,244,246,249,252,251,247,232,214,199,194,187,180,170,161,149,139,127,144,141,146,142,145,163,139,235,239,244,247,249,243,228,213,205,193,173,161,153,157,162,173,171,163,137,128,117,112,113,119,116,117,141,186,240,243,239,228,213,185,170,169,166,163,159,142,118,123,129,116,113,115,121,135,152,173,186,198,203,216,228,229,217,196,184,182,180,174,171,172,170,168,166,153,106,81,71,132,183,205,228,240,250,248,245,242,239,233,227,224,190,181,185,190,187,183,181,182,182,182,178,160,110,91,84,194,251,255,255,245,240,237,236,236,233,231,228,227,193,190,186,184,181,177,174,169,172,176,162,125,92,96,105,92,104,154,222,254,243,242,240,237,234,231,229,227,197,191,186,182,178,172,165,160,155,152,137,107,92,99,108,109,103,85,86,184,252,242,240,237,235,233,232,229,192,187,182,177,174,166,161,158,154,162,158,122,83,74,94,114,117,114,94,103,250,243,243,240,236,234,232,228,185,179,174,167,163,158,156,150,154,168,171,127,87,79,72,68,82,103,79,148,255,243,242,241,237,235,233,230,180,174,162,155,156,151,149,137,139,149,131,102,94,99,100,84,61,86,172,245,250,246,244,242,239,236,234,232,164,164,156,147,143,140,135,124,120,126,107,80,83,98,101,98,83,108,255,252,248,245,243,241,240,237,234,233,152,160,154,145,137,135,132,128,132,136,115,73,61,78,94,103,88,75,233,253,246,246,243,242,241,239,234,233,136,153,156,151,141,130,125,131,142,136,109,87,91,88,74,77,95,172,255,249,250,248,246,243,241,238,234,233,96,111,128,140,135,126,120,119,116,99,86,83,85,89,65,124,247,255,253,252,250,247,246,244,241,238,235,234,20,113,175,133,110,115,121,129,130,148,173,169,127,99,121,230,255,251,255,253,250,249,246,243,243,242,238,234,10,201,255,247,231,240,248,255,255,255,255,255,255,248,255,255,252,254,253,251,249,247,245,242,241,240,237,233,70,244,245,249,255,255,255,255,255,255,255,255,255,255,255,252,253,252,252,250,247,245,243,240,238,237,234,232,185,253,245,247,250,252,253,255,255,255,255,255,255,255,255,254,253,252,250,249,247,244,242,240,239,236,235,233,245,242,247,249,251,253,255,255,255,255,255,255,255,255,255,254,254,251,250,249,247,245,243,241,238,235,233,232,235,243,247,249,250,253,255,255,255,255,255,255,255,255,255,255,252,251,250,249,247,245,242,238,238,235,232,231
2,152,155,158,159,159,160,161,162,162,161,161,161,160,160,160,160,159,160,161,158,154,152,151,150,150,148,147,145,155,157,159,160,160,162,163,164,163,164,164,164,166,166,164,162,160,155,147,154,162,156,153,151,150,148,148,146,156,157,160,161,161,162,163,165,164,165,165,153,132,133,140,137,127,121,106,87,119,153,159,156,152,151,149,147,157,160,162,163,163,163,164,165,165,166,166,146,124,122,126,128,121,109,101,77,61,94,120,138,156,152,151,149,158,161,162,163,164,165,167,166,167,169,155,136,139,137,137,134,123,100,81,86,90,86,90,98,156,152,151,149,158,161,162,164,165,166,167,167,168,165,138,130,143,144,134,126,122,101,92,98,112,109,79,89,157,153,152,150,159,161,163,165,165,166,167,168,169,162,145,139,132,120,109,129,139,80,65,82,91,85,77,132,160,154,152,151,161,162,165,166,167,167,168,168,170,162,140,140,133,120,112,109,86,98,146,124,105,112,155,163,155,155,153,152,161,164,164,166,167,169,170,170,169,160,157,146,127,108,85,81,100,158,173,170,169,167,161,161,162,162,158,152,162,164,164,166,169,170,170,169,152,152,148,129,100,50,104,167,172,170,165,164,164,161,165,149,116,102,138,157,162,164,166,167,168,169,171,167,145,142,128,101,59,24,109,182,167,170,169,166,164,166,150,94,67,60,88,159,162,165,167,168,169,171,170,160,138,127,99,58,42,40,100,180,168,171,169,166,169,153,103,75,70,64,84,161,163,166,166,168,170,171,166,159,145,120,66,38,49,42,113,180,168,171,167,170,158,104,80,79,70,55,123,163,164,166,168,168,170,171,166,161,145,119,69,40,51,42,99,187,169,169,171,172,111,65,67,72,59,82,163,155,164,166,169,170,171,171,168,161,141,113,63,44,52,46,45,135,176,177,171,128,80,54,56,60,57,146,162,156,165,167,168,171,171,171,165,159,141,103,59,56,52,47,48,48,89,140,106,75,70,71,56,55,135,166,158,158,165,166,169,171,172,171,165,160,140,102,73,64,51,50,53,57,55,61,57,57,67,66,61,141,170,162,160,158,165,166,170,171,173,171,164,157,140,111,78,62,50,50,51,57,63,66,60,62,69,57,138,171,162,163,161,158,164,166,170,171,172,171,159,151,140,109,82,66,48,49,51,57,62,68,66,61,49,112,178,163,164,163,161,158,164,166,170,171,173,170,156,149,136,108,90,66,46,49,54,57,62,69,73,56,69,167,168,165,163,163,161,159,165,167,170,171,173,169,156,149,132,111,88,65,49,49,54,59,64,68,70,52,142,176,166,167,165,163,163,161,164,167,170,171,173,168,152,155,142,111,87,71,49,48,56,61,66,71,58,72,175,169,170,168,166,164,163,161,164,166,169,171,175,164,152,163,146,109,86,71,51,46,58,63,67,70,43,127,178,168,168,167,165,163,162,160,163,165,167,169,172,160,155,162,139,106,85,73,54,44,59,64,67,50,74,175,169,168,167,165,164,162,161,160,162,164,166,168,171,157,155,155,133,101,83,74,57,45,57,64,55,48,151,175,167,167,166,164,164,162,159,159,162,164,165,167,171,157,153,149,124,99,85,74,58,46,56,57,41,130,177,167,168,166,165,164,163,161,159,157,162,163,165,167,169,154,149,137,115,96,82,70,55,48,49,49,124,179,169,169,168,166,165,164,163,161,159,158,160,162,165,167,167,153,141,130,110,90,80,68,57,45,56,146,178,169,170,169,166,165,163,162,161,160,158,156
2,119,130,136,138,142,147,151,156,158,161,164,165,169,172,172,172,177,177,177,179,180,182,183,182,183,183,184,185,121,131,138,140,145,149,152,157,160,162,167,184,198,197,185,180,180,156,135,175,174,173,181,182,182,183,183,182,122,132,138,142,147,152,155,158,171,185,192,181,158,139,111,108,123,104,80,111,120,111,167,183,182,182,182,182,124,133,139,143,149,154,159,174,213,201,154,119,101,97,82,79,81,78,81,89,85,87,166,183,182,182,182,182,126,135,141,144,151,156,178,215,193,141,86,70,71,71,69,71,69,70,86,99,116,162,182,183,182,181,181,181,128,137,143,147,154,162,216,201,127,86,68,55,68,61,59,65,75,106,162,178,183,184,185,184,184,184,183,182,131,140,144,150,157,174,228,171,95,68,63,63,70,60,70,72,156,185,187,188,188,188,187,187,186,183,185,184,134,142,147,153,159,187,225,151,89,65,57,65,62,65,73,104,190,194,192,193,192,193,193,190,192,166,183,187,137,145,149,156,162,205,215,129,73,60,59,57,54,64,70,159,197,198,197,196,197,198,195,197,192,141,185,192,140,148,152,158,164,224,206,130,89,74,70,60,60,67,101,197,201,201,201,201,201,200,198,204,169,125,195,196,144,151,155,160,175,239,204,139,98,82,70,64,76,75,142,205,205,205,205,204,204,202,200,191,141,141,201,201,147,154,158,165,200,245,201,140,96,81,66,66,74,71,173,208,208,209,209,208,208,196,188,172,116,149,206,205,150,156,160,168,210,244,197,135,94,80,65,66,68,73,175,210,210,211,212,212,206,184,186,153,103,142,210,208,152,158,162,170,211,243,192,131,94,77,65,62,71,84,135,199,206,212,215,213,195,193,184,140,99,169,213,212,154,160,165,172,207,243,192,139,101,79,66,65,82,100,101,123,141,150,180,183,189,192,177,130,135,212,215,215,157,162,167,174,211,241,193,143,105,83,67,71,97,109,110,128,147,151,141,165,189,182,151,119,203,219,218,218,160,164,169,176,221,240,193,148,111,86,68,79,104,106,115,135,154,161,160,151,173,161,117,176,221,223,222,220,163,166,172,179,228,236,193,152,121,92,71,84,104,109,133,151,160,154,149,137,136,123,141,222,224,225,224,223,165,169,176,180,228,230,193,156,127,96,77,88,109,125,151,156,153,140,127,117,108,102,208,228,227,227,227,226,168,172,178,184,227,224,190,162,135,99,83,92,112,130,145,151,140,127,113,103,98,175,230,229,229,229,229,228,170,173,181,185,220,215,187,169,143,103,94,94,111,132,137,140,131,117,106,114,195,231,233,233,231,232,232,231,173,176,184,186,214,210,192,178,147,110,102,94,115,129,131,132,123,108,127,216,235,235,235,235,234,234,234,234,175,179,186,189,215,211,197,177,143,115,107,97,120,122,124,122,109,115,214,237,236,236,236,237,236,236,235,236,178,181,189,195,224,214,195,171,141,121,112,98,113,115,110,105,117,205,237,238,238,238,237,237,238,237,237,237,180,183,191,202,233,216,201,172,141,121,109,100,106,109,95,140,219,239,240,240,240,240,239,239,239,239,239,238,182,185,193,208,233,217,207,172,137,115,106,99,103,95,136,228,240,241,241,242,242,242,241,241,240,240,236,217,183,187,195,211,223,210,194,160,121,105,98,98,100,116,217,239,243,242,243,243,242,243,242,241,228,184,126,86,185,189,196,211,211,203,192,160,116,104,105,105,94,173,234,242,244,244,244,244,244,244,224,162,106,72,61,56
24,171,172,173,173,175,175,175,176,176,176,176,175,176,176,174,173,172,170,169,170,169,166,166,165,163,162,159,157,174,176,177,178,178,178,179,178,179,179,179,179,179,178,178,178,177,175,174,173,171,171,170,167,166,165,163,161,178,179,181,181,181,181,182,182,182,181,181,181,182,181,181,180,179,178,177,175,174,172,174,174,170,168,167,164,181,182,183,184,185,185,186,185,185,185,184,184,185,185,185,183,181,181,180,179,178,178,156,151,177,171,170,168,184,185,186,186,186,187,187,187,187,186,187,186,186,187,187,186,185,183,182,182,179,184,149,98,176,174,172,170,188,188,188,189,191,189,189,190,190,195,190,188,188,188,188,187,187,186,185,185,181,191,152,93,175,178,174,171,190,191,191,192,194,192,193,195,184,150,192,193,192,193,192,190,189,188,187,187,184,194,144,98,181,180,177,174,192,193,194,194,194,194,194,196,176,105,149,203,194,196,195,194,193,191,190,188,189,198,135,107,188,180,180,178,194,195,196,196,197,196,195,199,176,127,104,202,196,198,198,197,195,194,193,188,197,197,127,120,194,182,181,179,196,198,198,199,199,199,199,200,194,151,90,181,204,197,199,197,195,195,195,195,204,179,103,136,198,185,185,182,198,200,200,201,201,202,201,200,202,169,95,149,213,198,200,202,203,200,195,184,206,172,83,159,197,188,188,186,200,201,202,202,202,202,202,202,204,186,126,109,210,201,204,185,166,196,186,127,117,158,95,189,194,191,189,186,202,203,204,204,204,204,204,203,207,194,148,83,185,211,192,170,142,140,148,127,90,96,112,203,194,194,191,189,203,205,205,206,207,207,207,206,208,202,161,97,142,218,180,182,157,144,131,147,146,62,126,209,193,195,193,191,206,207,208,208,209,208,208,208,208,206,181,142,104,187,166,195,158,147,150,154,137,65,152,209,197,196,194,192,207,208,208,209,210,209,209,209,207,209,196,158,97,132,138,189,179,117,102,134,154,88,126,213,197,199,196,195,208,209,210,210,211,211,211,210,212,214,203,175,158,129,119,154,178,106,42,124,173,115,81,200,201,199,197,196,209,211,213,213,213,212,213,212,212,215,204,201,177,116,81,127,157,88,49,105,182,160,83,134,213,198,199,199,212,214,214,214,215,215,215,215,214,216,208,199,156,114,91,129,144,88,66,179,195,177,104,88,210,200,200,199,214,215,215,216,216,217,217,216,217,217,215,198,178,165,120,125,160,103,139,209,189,159,87,99,212,201,201,200,215,216,216,216,217,219,218,218,218,219,219,198,193,181,127,122,121,131,210,202,170,146,68,122,219,202,203,202,214,216,216,216,217,218,218,218,217,219,220,195,192,193,153,126,102,193,213,195,163,136,66,148,219,201,203,202,215,216,216,217,218,217,217,218,219,220,220,201,185,183,167,138,110,193,203,184,156,123,63,169,214,202,202,201,216,216,217,218,218,218,219,220,221,218,222,203,178,178,175,158,116,175,206,178,141,101,65,191,210,203,203,201,217,217,217,218,218,220,220,220,221,221,223,212,181,182,175,175,128,155,200,166,126,75,86,215,207,206,204,202,217,218,218,219,220,221,221,219,220,222,221,222,192,187,176,179,130,121,176,135,100,47,126,223,205,207,205,204,211,214,217,219,221,223,224,224,227,229,227,231,202,190,178,166,133,110,136,122,82,48,182,218,209,210,211,196,128,132,136,140,143,148,155,158,162,167,171,173,191,195,171,156,148,119,123,130,63,88,209,201,202,190,140,86
10,77,78,80,84,86,100,123,138,167,164,154,181,184,192,198,202,207,212,215,218,222,223,225,226,227,228,230,230,77,78,81,84,86,102,125,138,186,173,115,167,194,193,200,205,209,214,218,223,225,226,228,230,230,231,232,232,77,78,82,84,87,105,127,145,171,178,132,108,183,201,202,207,212,217,221,225,228,229,231,234,233,234,235,234,78,79,82,85,88,108,131,150,162,170,143,105,110,206,206,210,215,219,222,227,230,233,235,235,236,237,238,237,78,79,82,85,89,112,134,152,164,172,147,123,91,151,218,212,217,221,226,231,234,236,238,239,238,239,241,240,78,79,83,83,91,114,136,155,167,172,170,142,120,92,193,221,219,225,231,235,236,239,242,242,241,241,243,243,78,79,83,85,91,116,137,157,166,173,189,169,130,98,116,225,223,229,234,236,239,242,243,243,243,244,245,245,78,81,83,81,98,122,144,156,185,138,166,198,157,138,91,193,235,230,236,240,241,242,244,244,246,247,247,248,78,82,77,134,159,101,125,169,199,120,104,205,188,155,107,138,240,231,237,240,243,244,246,247,248,249,250,249,78,82,75,145,146,81,70,111,154,128,74,152,214,153,121,92,216,237,237,241,244,247,249,249,250,252,251,251,78,81,80,91,108,85,76,68,81,122,102,83,191,166,120,88,155,250,237,244,245,249,251,252,252,252,252,253,78,81,85,82,105,108,80,73,73,121,132,101,100,164,136,134,89,221,246,244,247,250,252,252,253,253,253,255,78,79,84,85,106,133,136,107,80,113,150,125,86,87,117,140,88,151,255,245,250,250,253,254,255,255,255,255,77,79,83,85,108,133,157,174,147,97,154,150,119,76,79,106,97,92,232,251,251,252,253,255,255,255,255,255,77,77,80,85,110,133,149,185,197,110,87,186,155,114,75,71,87,77,203,255,249,254,254,255,255,255,255,255,76,78,79,85,110,140,162,190,201,157,50,157,199,145,109,81,82,70,183,255,247,251,252,255,255,255,255,255,76,76,78,86,107,167,189,179,220,184,83,91,222,167,141,106,80,65,164,255,249,252,253,255,255,255,255,255,73,75,76,86,108,154,204,172,206,194,119,129,221,183,162,118,80,63,148,255,249,254,255,255,255,255,255,255,76,75,73,84,111,133,184,177,174,188,145,173,208,163,157,112,87,72,138,255,250,253,255,255,255,255,255,255,119,116,116,119,127,130,153,179,174,204,162,155,207,152,151,115,90,77,125,254,251,255,255,255,255,255,255,255,111,114,118,120,119,114,123,183,186,198,208,151,188,166,153,123,93,81,99,159,163,167,171,176,180,185,190,195,116,116,116,121,124,127,119,187,219,185,220,158,112,167,151,126,98,87,86,128,136,136,137,134,135,134,133,134,116,117,119,122,124,126,121,151,224,203,191,179,111,140,148,123,101,89,82,127,147,141,143,145,145,146,147,147,115,117,119,122,124,126,126,131,204,214,204,215,202,155,138,117,100,87,84,120,144,139,140,143,143,143,145,145,115,117,119,121,123,124,127,121,165,208,211,205,215,187,133,107,99,92,86,117,143,141,140,141,142,142,144,144,114,115,117,119,122,123,125,127,129,190,213,202,197,195,141,105,107,100,87,117,142,140,140,142,141,141,143,144,113,114,116,119,123,123,126,129,125,148,204,198,184,173,153,129,125,108,84,107,141,140,140,145,140,141,142,140,112,113,115,117,120,122,124,126,128,123,174,187,172,157,157,154,144,120,91,92,135,140,141,141,141,143,136,173
1,140,142,143,144,144,146,146,146,146,146,147,147,149,148,148,148,149,149,147,148,148,148,148,147,147,148,147,146,142,145,147,146,148,148,148,149,149,150,150,150,150,151,150,151,150,151,152,150,149,149,150,150,149,148,147,147,146,148,148,149,150,151,151,152,152,153,153,154,154,152,155,153,155,146,146,154,152,153,152,151,150,149,149,149,150,152,151,153,153,154,154,155,155,157,156,156,157,157,131,149,168,142,107,161,155,154,155,154,153,153,152,152,152,155,155,157,157,156,157,157,157,159,160,158,165,167,102,144,172,132,102,160,153,159,157,156,155,155,154,153,154,157,158,159,159,159,159,161,160,161,158,152,174,157,103,153,169,116,117,159,113,147,163,158,158,158,157,157,157,158,158,160,163,163,162,163,163,166,154,120,159,142,105,165,165,105,131,167,103,133,169,160,160,159,159,158,159,160,161,163,165,164,165,165,163,174,152,108,144,139,112,173,168,112,147,168,103,134,172,162,163,161,161,161,161,163,164,166,167,168,166,168,166,175,137,109,142,132,120,167,156,110,159,165,98,138,172,165,166,165,164,163,163,164,167,168,169,170,169,169,168,180,134,117,132,120,107,162,139,107,171,165,102,147,173,169,168,167,167,166,165,166,169,169,170,170,171,172,170,180,127,112,132,127,100,173,135,119,178,154,104,156,174,170,170,170,169,168,167,169,170,171,171,171,172,173,174,183,135,103,132,128,103,177,131,130,178,145,103,166,175,172,171,171,170,169,168,171,172,173,174,174,174,173,176,184,139,92,118,106,94,157,110,150,181,145,109,176,176,174,173,172,171,170,170,171,173,175,175,176,176,175,179,184,141,111,141,153,138,158,142,132,168,137,119,183,175,176,175,175,174,172,172,174,174,175,176,177,177,176,185,181,149,127,113,155,175,170,169,124,124,125,130,186,177,178,177,176,175,174,173,175,175,176,178,179,179,178,191,172,138,117,95,102,127,144,180,164,108,83,146,187,178,179,178,177,176,175,175,176,178,178,179,180,180,181,195,174,137,108,102,105,108,139,190,187,139,79,162,186,180,181,180,180,179,177,175,177,179,181,181,182,179,184,195,169,133,112,112,117,148,166,164,181,153,97,168,186,181,181,180,180,180,180,177,178,179,181,182,183,180,187,193,167,137,112,121,124,171,183,166,150,135,97,141,192,181,183,182,182,181,180,177,178,180,182,182,184,182,189,193,169,140,124,123,144,190,182,160,141,111,86,146,194,183,184,184,184,182,181,179,180,181,182,182,184,184,189,192,169,141,132,122,158,196,184,150,129,102,83,169,192,185,186,185,185,183,181,180,182,182,184,184,184,185,187,189,169,149,139,123,156,196,176,141,119,92,100,186,187,186,186,185,185,185,183,181,182,183,184,184,185,185,186,186,170,153,148,120,158,189,161,132,109,84,145,195,187,187,187,188,188,186,186,181,183,185,184,185,186,187,188,188,173,155,147,120,165,177,153,127,97,94,183,191,189,188,188,188,188,186,186,181,184,186,186,186,187,186,187,192,174,159,139,121,160,152,139,118,85,125,198,189,191,190,190,190,189,187,187,182,183,185,187,186,188,182,188,192,187,167,136,130,152,137,130,109,84,167,196,190,192,192,191,191,190,188,187,182,182,183,185,186,185,182,190,189,187,167,141,140,143,133,123,91,122,195,192,192,192,192,191,191,191,189,189,182,183,185,185,185,182,183,182,171,173,160,140,137,128,124,100,96,178,195,192,192,192,192,191,191,190,189,189
2,225,226,227,227,226,227,227,227,226,226,225,219,227,222,223,223,221,220,219,217,216,215,213,211,210,210,206,205,229,230,229,230,229,229,229,228,228,228,223,240,245,169,195,230,225,225,223,220,221,220,217,215,214,212,210,208,232,232,233,234,234,233,231,232,229,227,255,253,184,132,135,206,215,167,217,228,223,222,221,220,218,216,212,212,235,235,234,236,237,235,236,232,238,255,255,172,134,124,136,169,176,125,188,228,223,223,222,222,220,219,215,214,236,237,236,236,238,237,234,249,255,255,202,137,132,123,112,125,128,123,116,187,237,224,227,223,222,221,219,217,238,238,238,239,238,240,232,255,255,199,146,122,124,128,121,95,117,134,119,121,185,237,227,226,223,222,220,219,238,240,240,242,243,237,252,255,231,143,115,98,103,113,114,115,117,119,117,104,182,237,226,228,226,224,223,221,242,243,242,245,244,241,255,255,189,140,121,110,94,117,142,148,122,138,154,193,234,230,230,229,228,228,226,223,245,245,246,246,240,255,255,214,150,122,127,124,113,134,130,135,198,231,238,241,236,234,232,231,230,229,227,225,246,247,248,243,255,255,255,190,139,111,122,119,130,121,158,229,247,243,240,238,239,237,235,233,232,232,229,227,248,248,247,248,255,255,248,183,149,135,117,122,134,170,255,247,244,245,244,244,241,239,237,236,235,232,230,229,250,252,247,255,255,255,220,170,146,146,130,126,129,204,255,245,247,246,247,244,243,241,239,239,237,235,234,232,253,255,249,255,255,255,202,156,143,143,139,124,147,250,253,250,246,247,246,246,245,244,241,240,239,238,236,234,255,251,255,255,255,247,188,155,140,138,140,129,206,255,251,252,250,248,248,248,246,245,244,243,241,239,238,237,255,253,255,255,255,223,170,149,144,136,135,139,247,255,255,255,253,251,250,249,247,247,245,244,244,241,239,239,255,255,255,255,255,206,160,146,143,144,129,167,255,254,255,255,255,254,252,251,249,248,250,248,244,243,240,239,255,255,255,255,243,185,149,144,141,142,110,198,255,255,255,255,255,254,254,254,254,249,244,237,245,248,243,242,255,255,255,255,215,165,149,139,131,126,110,151,255,255,255,255,255,255,255,255,240,219,212,200,170,240,247,245,255,255,255,249,200,169,154,133,119,120,127,118,164,255,255,255,255,255,255,227,219,212,191,153,169,244,249,246,255,255,255,234,203,176,152,123,113,127,126,138,140,154,209,244,232,220,222,213,226,190,160,212,254,252,248,246,255,255,255,235,198,171,144,121,123,143,148,165,176,160,152,186,196,212,221,225,211,157,231,255,252,251,251,250,222,233,244,221,193,162,138,127,135,155,172,177,187,187,176,206,210,216,210,187,153,196,255,254,255,254,252,251,93,93,83,84,103,100,101,116,144,163,175,183,190,193,177,197,182,174,182,200,226,255,255,255,255,255,252,251,102,90,65,60,70,64,54,60,98,159,172,179,186,178,150,158,196,237,255,255,255,255,255,255,255,255,255,254,96,82,64,67,74,63,56,50,44,84,166,173,160,156,199,247,255,255,255,255,255,255,255,255,255,255,255,255,89,78,67,68,67,59,51,46,49,41,98,159,192,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,83,77,67,69,65,55,48,44,51,39,87,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,83,75,66,67,63,54,47,45,53,35,205,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255
18,186,189,191,194,196,198,201,204,206,207,210,211,212,214,215,215,215,215,216,215,215,216,216,217,217,218,218,218,187,191,192,195,197,200,203,206,209,210,212,213,214,215,215,215,217,217,220,221,216,219,219,218,219,219,220,220,189,191,193,196,199,202,204,207,211,212,213,214,216,217,219,219,218,209,186,202,227,220,219,225,220,221,223,222,190,192,195,197,201,204,205,208,211,212,216,217,218,218,216,215,238,207,169,140,189,192,172,197,229,223,224,224,190,194,197,200,203,205,207,210,212,215,217,219,220,220,188,165,210,191,142,140,118,173,172,135,201,231,224,226,193,196,197,201,204,207,211,212,215,216,218,213,228,236,182,159,194,173,130,131,116,169,191,142,143,235,225,226,196,197,200,204,206,210,213,214,217,218,224,189,171,215,204,182,202,180,162,155,138,144,170,145,130,231,227,228,196,199,202,204,208,212,213,217,218,223,236,203,175,158,209,194,180,202,195,194,186,157,131,126,134,232,229,229,197,200,203,205,209,212,215,218,218,228,230,229,207,160,162,197,159,182,212,205,205,175,126,101,134,236,230,230,199,202,204,208,210,213,216,218,221,229,200,224,206,180,130,160,171,137,184,205,200,169,134,103,135,240,230,232,200,203,206,209,213,216,219,218,222,230,170,167,193,164,115,124,161,123,126,171,191,182,151,107,149,243,230,233,201,204,207,210,214,217,219,221,222,232,189,159,181,136,106,110,138,116,102,127,200,200,167,116,142,245,231,235,201,205,207,211,214,217,219,221,223,236,217,180,170,136,109,101,131,112,92,105,194,218,180,142,114,222,239,234,202,206,210,211,214,217,220,223,224,237,209,170,156,137,112,96,136,118,78,172,222,229,200,156,111,148,246,235,204,207,210,213,216,219,221,224,224,232,226,203,170,142,119,110,121,100,157,238,236,223,196,155,128,134,242,237,206,207,210,213,216,220,223,226,225,235,232,208,172,144,130,124,116,150,230,248,242,223,185,148,125,149,246,236,205,208,212,214,216,220,223,226,226,236,235,214,181,157,145,148,149,208,244,250,229,211,177,137,115,168,249,235,207,209,213,214,218,221,223,227,228,233,236,220,195,177,168,149,159,217,243,244,213,186,160,134,111,192,249,238,206,210,212,216,218,222,224,227,226,231,232,221,202,182,171,157,159,205,245,238,204,179,149,130,114,209,249,240,205,209,213,217,219,222,225,229,230,229,231,223,205,181,176,178,157,194,244,229,192,165,140,124,122,228,245,241,205,208,213,216,218,221,224,226,230,230,227,222,209,190,196,188,156,177,243,212,182,151,134,119,138,243,243,243,205,208,212,214,217,220,225,224,228,231,225,218,212,199,192,193,163,165,231,198,167,141,128,115,156,252,241,243,206,209,213,215,218,220,226,225,227,229,227,219,214,201,190,189,169,152,214,188,149,133,127,112,176,250,239,243,208,211,215,217,218,222,226,226,228,232,230,226,221,203,187,178,159,137,195,168,135,126,127,119,215,246,242,243,208,211,215,217,219,223,225,227,229,231,225,236,220,194,174,159,133,135,172,149,134,130,117,160,249,243,243,244,207,211,213,217,220,223,225,226,230,228,224,241,215,188,170,144,136,139,165,144,134,129,122,216,245,242,243,244,207,212,214,217,220,224,225,227,231,225,230,243,220,197,182,158,146,149,164,136,139,111,163,250,242,243,243,244,207,211,213,216,220,223,224,226,229,223,231,236,225,205,193,160,140,163,155,138,129,109,205,246,239,243,243,244
5,125,132,137,140,147,154,159,163,166,169,169,173,177,177,179,180,181,181,180,179,179,178,178,177,176,174,174,172,126,133,138,141,149,156,162,165,165,182,178,131,181,179,181,182,183,183,183,183,182,180,179,178,177,176,176,176,128,136,140,144,151,158,164,168,161,209,172,114,181,182,183,183,184,184,184,185,182,182,181,182,180,178,178,176,129,138,140,145,153,158,163,166,173,232,121,140,188,183,184,185,185,185,185,181,184,180,182,182,182,180,178,177,130,138,142,143,153,161,168,161,207,232,100,167,187,185,186,187,188,184,185,199,216,130,159,189,182,182,179,178,132,140,139,162,156,154,171,159,233,217,109,180,187,187,188,191,185,192,232,213,163,117,174,189,184,183,181,180,133,143,132,206,169,115,177,165,250,193,117,187,188,189,192,188,200,252,217,126,125,181,190,186,186,185,183,181,133,145,132,213,160,110,177,173,255,170,120,194,189,192,188,202,251,223,139,117,185,194,189,187,187,186,184,184,136,146,139,233,143,123,176,186,255,155,113,196,189,190,202,244,206,131,127,191,197,192,191,190,189,188,186,184,137,146,143,231,155,115,177,193,246,171,105,187,193,193,236,218,120,113,190,199,195,193,192,192,190,190,188,186,137,149,140,217,191,105,175,187,243,176,97,181,199,206,223,162,101,168,206,194,197,196,195,193,194,192,191,189,140,150,143,194,223,113,131,182,233,174,81,154,195,179,159,117,137,201,194,196,199,198,196,195,188,190,192,190,142,149,147,174,230,174,148,133,198,202,120,97,122,127,110,119,186,188,227,235,229,224,215,199,125,153,206,188,144,150,154,162,191,207,198,162,160,184,130,98,99,108,107,146,170,202,195,178,192,214,198,176,139,105,176,198,144,152,155,162,167,178,203,221,226,193,132,94,93,98,122,128,130,154,112,103,207,223,173,138,120,111,172,201,145,152,153,162,174,173,179,230,255,226,151,93,94,94,107,120,110,87,127,197,239,179,117,133,181,198,201,196,147,153,156,164,173,182,182,205,252,241,169,100,90,88,95,106,85,137,219,210,205,125,110,202,209,201,200,199,148,154,157,166,174,181,188,187,236,255,199,121,86,88,85,83,70,143,184,191,203,117,151,216,202,203,203,201,149,155,158,168,175,181,190,187,226,255,220,152,94,82,80,91,108,139,150,184,189,112,175,215,205,205,204,201,148,155,158,167,174,179,187,188,206,255,239,184,113,81,83,95,110,151,173,167,170,111,185,214,205,206,204,202,147,154,156,165,174,181,186,188,202,255,254,212,141,87,84,93,125,168,171,142,131,100,192,213,207,204,203,202,147,154,157,166,176,184,191,191,201,255,255,224,165,101,81,102,142,173,162,121,102,133,213,210,209,205,204,203,149,157,157,167,176,182,189,192,199,255,255,229,189,123,89,93,148,164,152,108,103,203,215,211,210,207,205,205,148,156,158,166,174,183,187,192,195,242,255,233,205,149,109,88,133,155,135,99,121,218,210,210,209,207,204,203,146,154,158,167,176,185,192,200,198,233,255,247,219,181,130,99,104,135,120,95,168,228,216,217,217,213,211,213,137,142,147,152,155,161,164,170,162,222,255,255,231,190,137,110,101,118,105,103,164,174,169,169,169,169,170,157,97,98,98,100,97,95,96,101,82,202,255,255,226,172,130,114,104,106,105,98,86,85,82,83,84,80,76,141,104,105,105,105,106,103,105,111,91,197,255,246,199,137,118,108,105,108,103,96,96,95,94,94,90,98,194,244
12,149,150,152,154,154,154,154,155,155,156,156,154,154,153,156,157,153,150,150,149,148,148,145,145,143,142,141,138,150,155,155,155,156,157,156,156,157,158,158,158,156,155,146,130,143,155,150,150,150,148,146,145,145,143,141,139,152,155,155,157,158,158,159,159,158,159,157,144,155,159,110,82,62,133,161,154,155,152,147,147,147,146,142,141,155,157,157,158,158,159,159,161,158,160,141,94,76,119,121,96,60,68,141,107,95,130,154,147,147,145,143,142,156,158,158,159,160,161,160,160,158,168,139,108,72,63,136,105,81,57,54,82,66,43,130,155,148,147,145,143,157,158,159,159,161,161,163,162,160,172,150,121,100,54,130,116,88,63,34,76,73,26,67,162,149,148,146,144,158,159,159,160,162,162,163,162,166,174,165,130,106,56,103,121,91,67,24,72,69,34,39,159,150,149,148,146,160,162,161,162,163,163,164,162,174,153,174,137,107,64,72,122,93,68,25,58,76,36,42,160,150,150,149,148,160,161,162,162,162,164,161,160,149,90,137,145,99,72,57,123,95,71,31,49,79,34,58,165,150,152,150,149,160,161,162,163,163,160,159,165,131,72,63,139,105,71,37,117,108,78,45,25,62,27,97,166,152,153,152,150,161,163,164,164,163,175,174,153,105,70,34,112,108,60,26,106,137,102,59,22,45,19,117,164,154,155,152,150,162,163,165,164,172,173,148,136,96,83,38,89,109,71,38,116,154,110,62,31,53,35,140,162,156,155,153,152,163,164,164,163,185,163,119,136,104,92,47,58,121,109,58,82,132,84,39,30,60,32,123,168,156,155,154,151,164,164,163,172,168,143,100,98,114,86,48,35,127,118,84,22,20,19,15,50,59,13,55,171,156,156,155,153,164,165,164,172,159,127,101,60,98,93,67,25,102,118,75,25,1,37,48,48,29,21,26,155,162,157,155,154,162,165,166,169,171,145,119,81,66,106,68,31,10,65,68,28,51,75,90,71,40,28,41,160,159,159,156,155,164,167,167,170,175,151,122,96,61,84,61,51,5,71,136,112,103,93,100,77,47,11,88,173,158,160,156,154,165,167,169,171,177,160,131,105,76,55,73,81,45,131,165,148,122,101,94,68,40,7,126,172,160,160,157,155,165,167,168,173,169,151,128,104,76,56,63,77,97,161,156,138,115,97,80,64,30,15,153,166,162,160,158,156,166,168,170,171,156,141,129,104,70,81,54,87,145,154,145,126,107,91,73,59,14,70,176,160,162,160,158,157,166,169,170,169,156,144,131,100,73,93,75,132,148,147,139,117,99,81,64,38,28,157,167,163,162,161,158,157,168,170,170,172,160,143,132,106,87,84,87,138,137,145,135,111,86,69,58,14,81,182,163,165,163,163,161,158,167,170,170,172,163,147,135,117,94,72,84,136,132,135,119,99,73,57,41,8,145,174,168,165,164,163,161,160,167,170,171,172,169,157,136,114,92,67,77,121,122,117,103,79,57,48,10,64,182,169,168,166,164,163,162,161,167,170,172,172,172,155,134,116,97,80,78,109,112,97,84,68,49,28,15,156,174,169,167,165,165,164,163,161,169,170,173,172,175,148,121,109,92,90,81,100,114,98,79,63,45,1,108,182,168,169,168,166,164,164,164,162,170,171,173,172,174,147,125,117,109,107,94,100,110,95,75,57,22,49,179,172,171,170,168,168,166,164,164,163,170,171,172,167,171,148,129,129,121,110,101,102,107,88,54,43,14,129,182,171,173,171,170,169,167,165,163,162
15,125,132,141,146,148,150,155,160,165,168,170,173,176,179,181,184,186,189,192,193,195,196,198,198,199,200,202,202,126,134,142,147,148,150,155,162,166,169,172,175,177,180,183,186,187,190,192,194,195,197,199,199,200,202,202,202,128,134,141,146,149,150,156,162,166,170,173,175,178,181,184,186,188,191,193,195,197,198,199,200,202,203,203,204,128,135,143,147,150,153,158,162,166,171,175,177,179,181,184,186,190,192,194,196,198,199,201,203,203,204,204,205,129,137,143,148,149,152,157,161,166,170,174,177,181,183,187,189,191,193,195,197,198,199,202,202,204,205,206,206,129,135,151,173,155,154,160,159,165,171,172,171,170,174,177,185,191,194,197,199,201,202,201,202,204,206,207,207,131,137,154,173,151,146,153,158,170,175,178,181,184,178,171,171,172,179,188,186,188,197,207,204,203,206,206,208,132,139,148,144,126,129,138,144,160,171,175,190,196,184,183,181,186,185,181,188,172,161,172,202,208,204,209,208,132,140,147,149,151,153,150,148,152,159,161,177,196,199,196,194,195,201,194,185,195,178,142,136,194,212,207,208,133,141,146,149,152,158,165,170,173,174,173,169,165,176,194,211,195,174,199,174,182,200,144,135,129,196,213,208,133,141,147,150,151,156,162,167,172,174,181,182,150,136,142,160,186,166,167,163,181,209,133,144,156,133,204,210,133,141,147,149,152,157,162,167,171,170,202,181,145,135,137,150,176,169,137,138,167,185,140,139,178,140,141,218,134,141,147,149,152,158,163,167,172,170,213,183,130,138,155,172,184,168,144,142,142,139,142,151,163,144,106,172,134,143,148,148,152,158,163,168,171,178,207,215,163,153,164,173,176,159,146,146,146,143,143,156,165,143,109,109,134,143,148,149,153,158,163,169,167,198,213,211,212,184,143,130,139,136,131,135,142,149,156,163,168,153,117,105,135,143,149,150,153,159,164,170,171,196,218,206,203,207,183,129,89,99,94,99,115,140,162,161,156,145,118,113,135,143,148,151,153,159,163,170,173,181,211,216,192,189,210,182,93,81,81,84,86,107,150,155,147,137,125,121,134,143,147,149,153,158,163,169,171,177,203,207,202,180,201,158,100,85,82,91,84,104,153,163,161,154,146,133,133,140,145,148,151,156,161,166,168,189,215,202,187,179,177,130,99,86,84,92,89,100,143,162,165,162,155,142,114,117,120,122,124,125,127,130,133,141,196,218,199,166,164,159,103,86,91,91,101,106,120,145,155,157,154,143,114,115,117,116,118,119,119,117,117,116,138,169,176,174,163,157,123,94,93,92,100,110,112,128,142,148,148,140,119,119,120,121,122,123,124,124,123,127,126,125,129,134,129,127,127,100,94,89,95,110,115,120,142,147,143,134,119,119,119,120,121,123,123,123,123,125,127,127,127,127,135,135,143,124,115,112,113,120,120,117,139,145,138,131,120,120,121,121,121,122,123,123,123,125,125,125,126,126,127,146,160,159,165,155,141,156,157,146,145,148,136,127,119,120,121,122,122,122,123,124,124,125,127,126,126,127,127,124,129,159,176,162,177,189,188,184,169,161,147,126,118,119,119,120,121,123,124,124,125,125,127,128,126,127,128,130,126,131,139,155,186,200,192,187,173,155,142,132,118,119,119,120,120,123,123,123,124,125,126,127,127,127,127,129,128,127,126,131,144,156,175,161,150,140,138,148,118,118,119,120,121,122,123,123,124,125,125,125,125,126,126,127,129,129,130,128,125,126,150,139,146,158,156,143
1,113,116,130,148,160,167,169,176,181,184,187,189,193,196,197,202,201,200,201,202,202,204,204,204,206,206,205,205,113,118,133,150,162,169,172,178,184,188,191,194,196,206,207,170,205,206,207,205,206,207,207,207,209,207,206,206,115,121,137,154,166,171,175,182,189,193,195,197,201,218,224,139,188,181,196,214,209,210,211,210,210,209,209,209,117,123,139,157,169,173,179,187,193,196,202,215,166,217,226,136,181,184,152,222,214,214,216,215,215,213,212,211,118,125,144,159,170,176,182,191,197,199,209,234,147,202,226,131,181,205,133,209,223,220,220,218,218,218,216,215,118,128,147,162,174,178,184,193,200,203,212,239,153,191,232,143,184,212,133,194,230,222,223,223,222,222,221,220,119,130,151,166,178,182,188,196,202,205,217,244,160,177,224,147,186,225,148,183,236,225,227,226,226,226,225,223,120,133,153,169,179,184,189,199,207,214,182,238,168,158,207,148,185,221,152,178,241,229,230,230,230,229,229,227,121,136,157,172,182,187,193,200,219,223,150,227,172,140,215,156,178,230,162,178,246,232,234,235,235,233,232,231,121,138,159,175,184,187,198,204,229,215,144,230,181,129,204,152,176,240,172,179,249,237,239,239,238,237,235,235,122,140,161,177,186,190,200,206,234,213,137,222,199,133,176,171,176,221,176,174,252,241,243,241,241,240,239,238,124,142,163,179,188,192,203,208,241,224,134,192,219,184,188,194,174,167,154,171,254,242,244,243,244,243,241,241,125,145,165,181,191,194,205,211,243,229,136,171,187,191,195,161,167,196,150,173,255,244,248,247,247,246,245,245,126,148,169,185,193,197,209,215,240,232,177,190,133,174,155,139,212,234,211,170,235,255,247,250,249,248,248,248,128,150,172,189,196,200,211,217,249,237,193,170,134,160,128,175,225,230,235,183,152,245,254,252,252,251,251,249,129,153,173,190,198,203,214,222,255,236,187,153,139,166,169,227,246,234,215,162,128,180,255,252,255,254,255,253,131,155,176,192,199,205,217,225,255,245,190,149,153,175,190,244,255,241,202,156,124,164,255,254,255,255,255,255,132,157,178,195,201,207,220,226,255,255,202,151,163,187,209,243,253,238,201,160,115,183,255,255,255,255,255,255,135,161,181,197,203,210,222,227,255,255,221,161,170,196,215,254,255,230,192,158,114,203,255,255,255,255,255,255,138,163,184,199,204,212,224,229,255,255,239,175,177,199,212,255,251,226,182,152,112,219,255,255,255,233,177,121,141,166,186,202,206,215,226,231,253,255,248,189,192,190,208,249,245,220,171,145,114,234,255,212,139,100,82,87,143,168,189,203,208,216,227,234,245,252,254,203,206,185,211,238,240,209,165,136,122,255,189,98,78,82,85,79,145,169,190,204,208,216,227,235,237,245,252,219,209,191,197,236,223,198,154,129,137,171,93,100,90,65,83,86,147,171,193,204,208,216,226,233,236,240,245,225,214,204,181,218,211,185,150,131,113,81,75,96,103,61,66,90,148,173,194,207,209,218,229,235,241,235,242,232,220,214,185,191,209,176,149,128,99,93,74,70,102,77,54,77,149,174,196,209,210,221,230,237,244,238,243,240,228,216,181,177,198,173,144,118,103,92,81,55,83,95,54,60,148,174,198,209,212,223,231,238,244,242,246,230,212,205,183,178,176,162,133,112,107,82,81,60,64,94,70,48,160,178,194,203,208,217,224,233,240,237,244,237,209,211,203,177,163,157,129,108,102,91,73,64,54,81,83,50
5,98,103,107,111,113,116,118,119,121,124,125,126,126,130,131,133,134,135,138,138,138,140,141,140,140,141,142,142,99,105,108,111,114,117,119,120,123,125,126,127,131,132,133,133,134,137,139,139,141,141,141,141,141,142,143,142,101,105,109,112,115,118,120,122,123,126,129,128,106,131,134,134,136,139,140,140,133,141,141,143,143,143,143,143,101,106,110,113,116,120,118,124,126,126,128,142,80,118,137,135,138,140,138,148,101,120,146,142,143,143,144,143,103,108,111,113,117,121,135,99,121,130,129,148,83,113,141,136,138,139,141,151,84,114,149,142,145,146,146,145,104,108,112,115,120,116,152,108,94,134,131,155,92,115,142,137,140,140,150,118,74,140,146,146,147,147,147,146,105,109,113,117,121,117,138,134,83,132,136,154,98,113,143,138,140,149,146,78,101,153,145,148,149,148,147,147,106,111,114,118,123,122,132,162,101,119,143,139,82,111,145,139,142,148,116,80,144,149,148,149,149,148,148,148,106,112,115,119,124,124,127,176,123,101,145,128,88,109,147,136,136,115,71,117,154,147,148,149,151,150,150,149,108,113,116,120,124,125,123,164,152,93,139,124,103,105,145,129,126,70,92,154,149,150,150,151,152,152,151,151,108,113,118,121,125,126,125,143,173,136,115,111,105,94,122,125,114,73,142,151,149,150,150,152,153,152,153,152,109,114,119,121,125,126,128,130,168,169,127,88,96,77,89,115,89,100,155,150,152,153,152,152,153,153,154,151,109,114,119,122,125,126,129,130,147,179,153,108,78,74,77,83,74,134,154,152,152,150,152,154,155,156,154,154,109,115,118,123,125,126,129,132,133,175,162,119,80,66,70,67,77,152,147,143,140,139,144,146,144,143,148,147,110,115,120,124,126,127,131,133,130,168,166,119,78,62,62,65,77,114,133,134,126,139,155,149,143,143,133,102,111,117,120,124,127,129,131,134,133,178,163,122,85,59,58,63,81,91,113,115,88,91,111,105,108,127,116,79,112,117,120,124,128,129,133,132,142,189,154,117,84,62,58,64,77,81,74,78,90,125,130,130,130,137,105,95,111,116,121,126,127,128,133,128,160,188,143,113,81,61,60,63,65,69,101,130,154,163,159,143,141,106,97,152,111,116,122,126,128,130,134,131,177,177,137,108,76,60,62,66,53,108,161,164,157,147,128,131,123,80,154,160,111,117,122,126,128,131,132,142,189,171,133,95,75,58,59,70,81,103,109,133,132,127,138,134,89,104,165,154,113,117,122,126,127,131,129,161,189,160,122,95,78,57,62,77,97,108,104,100,123,134,129,101,99,150,160,157,113,117,123,126,127,130,131,179,182,150,115,103,82,55,72,101,116,121,112,107,125,106,96,129,161,162,159,159,113,118,123,126,129,127,145,188,176,146,116,106,83,56,81,116,118,120,116,93,83,104,150,165,159,159,159,158,114,118,123,126,129,126,171,185,167,143,117,102,83,58,89,121,110,119,102,72,115,161,161,158,159,159,159,158,114,119,123,128,124,145,187,172,162,138,103,90,74,60,98,116,105,104,89,136,164,158,159,160,160,160,160,158,114,119,123,127,125,171,177,160,152,126,89,83,66,69,95,99,99,89,143,163,157,160,160,159,160,161,160,159,114,119,125,123,149,174,162,153,150,125,79,75,68,75,79,85,103,142,162,157,159,160,160,160,160,160,161,160,114,119,124,126,176,165,157,147,157,119,67,77,80,68,69,112,155,159,158,159,159,160,160,161,161,160,161,160
7,139,142,144,146,149,151,153,154,156,158,159,160,162,163,163,164,165,165,166,167,167,166,167,167,167,167,166,165,140,143,145,147,149,152,153,155,157,159,160,161,163,163,164,165,165,166,167,167,167,168,168,168,168,168,167,167,142,144,146,148,151,152,154,156,158,159,160,162,163,164,164,165,166,167,167,168,168,168,168,168,168,168,167,167,143,145,147,150,153,154,156,158,159,160,162,162,163,166,166,165,166,167,168,169,169,169,169,169,169,169,169,167,144,146,149,152,154,156,158,160,160,161,164,165,165,166,166,167,168,168,169,170,170,170,170,170,170,170,170,167,145,147,150,153,155,157,159,161,163,165,167,168,167,167,168,169,169,170,170,170,170,170,170,170,170,171,171,169,145,147,150,153,155,158,159,162,164,166,168,168,168,170,170,166,161,161,165,165,162,157,156,171,149,165,173,170,146,149,151,154,156,159,161,163,165,166,168,169,169,165,157,150,146,136,138,144,146,139,136,148,121,155,167,164,150,151,152,155,158,160,161,163,162,160,163,165,168,161,153,151,146,129,132,133,138,134,130,128,121,143,148,132,150,152,154,157,159,161,164,165,147,141,149,156,160,153,147,141,129,124,121,115,118,119,114,113,111,112,116,138,150,152,155,158,159,162,174,164,136,136,140,135,125,116,115,115,108,104,107,116,117,118,121,126,133,142,155,172,151,152,156,159,161,176,180,165,149,131,122,109,96,85,93,113,120,143,166,173,173,172,174,177,178,179,178,178,152,154,157,159,175,186,177,174,161,125,114,114,116,115,111,120,141,172,181,180,180,181,181,179,179,178,180,179,153,155,157,170,186,180,177,171,152,128,118,109,112,117,112,98,90,118,179,181,182,182,181,180,181,180,180,181,153,155,167,182,182,176,169,156,144,132,119,96,89,103,108,104,96,96,175,183,182,183,183,182,182,181,182,182,152,163,181,182,172,162,156,149,142,133,119,96,82,83,85,86,90,99,178,185,184,184,184,183,183,182,183,182,161,180,180,174,165,156,152,150,147,141,125,102,94,95,83,67,70,98,181,186,184,184,184,184,183,183,183,182,180,177,169,167,163,155,152,147,144,139,127,111,103,101,95,86,79,88,159,186,185,185,186,185,185,185,184,182,174,170,166,162,156,152,145,140,141,136,119,104,97,94,97,93,85,61,80,157,188,186,187,187,187,187,185,183,170,167,160,158,154,149,139,138,140,124,103,87,72,63,80,89,87,65,75,139,190,187,187,187,187,187,185,185,166,163,155,151,145,141,145,139,122,103,88,65,55,52,52,81,88,82,121,176,189,188,188,188,188,188,187,187,163,159,151,142,144,145,140,123,105,92,78,65,67,64,62,80,95,154,186,190,189,188,188,188,188,189,188,189,151,148,138,140,143,135,120,105,94,83,88,104,117,121,89,105,161,189,189,190,190,190,190,189,189,189,189,188,130,129,126,126,122,112,102,92,86,105,156,180,186,188,168,172,190,190,191,192,192,191,191,190,189,189,188,188,115,108,104,102,99,93,92,101,135,172,185,186,187,188,190,191,191,192,192,192,192,192,192,190,189,189,189,189,109,95,87,82,79,96,142,169,182,183,184,187,188,189,189,192,192,193,193,193,193,193,192,190,191,190,190,190,107,89,75,75,121,160,180,181,183,183,186,189,189,190,191,192,193,194,193,193,193,194,193,193,193,191,191,191,109,90,74,83,166,178,179,181,184,184,187,190,190,191,193,193,194,195,195,194,194,194,194,194,194,193,192,192
12,226,228,228,228,229,229,229,229,230,231,230,230,231,230,230,230,230,230,231,230,230,230,229,229,227,226,225,224,230,230,231,232,230,230,232,232,232,233,233,234,233,233,233,232,231,231,233,233,232,233,232,231,230,229,228,226,232,232,232,233,233,234,236,233,235,235,236,238,237,234,236,234,233,234,236,236,235,235,233,233,232,229,229,228,234,235,236,237,235,237,237,236,238,238,242,239,237,240,240,238,235,236,236,237,237,235,234,234,232,231,232,231,236,237,238,239,238,238,240,240,238,237,230,238,247,227,231,243,238,240,238,239,238,239,239,237,236,236,235,234,239,240,241,241,240,241,243,238,255,255,217,179,253,237,182,210,249,242,246,240,241,241,241,240,239,238,238,237,242,242,242,242,243,243,246,239,255,255,252,163,201,255,207,162,244,220,220,246,243,243,245,243,242,240,240,239,242,242,244,247,246,245,246,245,255,255,255,195,155,255,240,182,156,204,156,199,255,244,246,243,244,243,242,241,244,246,248,249,247,249,246,252,255,255,255,228,150,222,253,197,123,153,161,125,248,250,246,246,247,245,244,244,246,248,250,249,249,246,254,240,255,246,255,254,199,145,207,171,102,89,136,116,236,253,250,249,249,248,247,246,247,249,251,252,244,255,255,203,173,199,218,218,158,107,133,138,108,199,147,118,248,252,252,251,249,249,249,249,248,251,253,249,255,255,255,189,149,177,150,186,177,146,189,227,226,211,127,132,255,254,255,254,252,250,250,250,250,252,250,255,255,255,254,209,162,116,119,124,179,196,217,255,255,245,153,159,255,253,255,255,254,254,253,251,250,254,249,255,255,236,255,230,173,114,120,122,108,120,166,255,255,255,232,162,218,255,255,255,255,254,254,253,252,250,255,255,255,213,255,233,204,135,112,133,139,147,214,255,255,247,226,205,145,243,255,255,255,255,255,255,253,250,255,255,255,209,191,255,247,162,112,137,162,232,255,255,254,210,195,217,141,218,255,255,255,255,255,255,255,254,255,255,255,245,183,201,233,239,151,138,255,255,255,252,239,204,169,166,132,247,255,255,255,255,255,255,255,253,255,255,255,255,216,201,186,196,182,249,255,255,255,244,219,192,155,119,162,255,255,255,255,255,255,255,255,255,255,255,255,255,237,228,209,166,235,255,255,255,238,220,195,184,141,106,218,255,255,255,255,255,255,255,255,255,255,255,255,255,255,241,222,207,217,255,255,255,223,190,184,176,125,135,255,255,255,255,255,255,255,255,255,255,249,255,255,255,255,249,227,223,214,255,255,237,207,168,191,165,104,192,255,255,255,255,255,255,255,255,253,255,252,245,255,255,255,246,232,228,224,251,248,207,183,179,186,142,110,249,255,255,255,255,255,255,255,255,255,255,255,242,255,255,245,237,236,228,223,231,226,207,178,179,169,112,162,255,255,255,255,255,255,255,255,255,255,255,255,252,255,255,253,254,247,230,216,227,236,210,163,153,136,119,248,255,255,255,255,255,255,255,255,255,255,255,255,251,255,255,255,255,246,239,212,231,240,181,142,138,110,209,255,255,255,255,255,255,255,255,255,255,255,255,255,250,255,255,255,255,249,251,208,224,221,166,139,112,158,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,255,255,255,255,255,250,205,205,208,169,131,107,241,255,255,255,255,255,255,255,255,255,255,255,253,255,255,249,255,255,255,255,253,243,198,189,206,165,111,139,255,255,255,255,255,255,255,255,255,255,255,255
2,96,98,102,105,107,109,110,113,115,116,117,119,121,122,122,125,122,127,127,129,131,130,130,132,131,131,132,132,96,99,103,106,108,109,112,113,115,116,118,119,122,121,125,123,84,105,122,127,99,116,136,130,133,133,132,133,97,98,104,106,109,110,112,113,116,117,118,120,119,125,126,99,62,70,110,110,69,85,125,132,132,133,133,133,97,100,105,107,109,110,113,115,117,119,118,121,129,124,96,69,53,64,86,87,80,81,71,124,134,132,133,133,99,101,105,108,110,111,114,117,119,120,121,137,135,102,62,55,57,65,64,78,85,85,52,91,140,133,133,134,99,102,105,108,111,113,115,118,120,119,134,140,113,74,45,45,53,67,64,78,79,73,68,120,138,135,135,135,101,103,106,109,112,114,115,118,118,126,144,111,73,48,40,33,52,77,86,73,91,103,125,139,136,137,137,137,100,103,107,110,113,114,117,118,116,141,130,81,51,48,48,46,69,72,74,114,139,138,139,136,138,138,138,138,100,104,107,110,113,115,118,115,134,140,105,71,47,49,49,59,57,82,124,139,135,135,137,137,138,138,138,138,101,104,108,111,113,117,116,122,144,118,81,47,43,44,55,62,75,141,136,135,136,137,138,139,139,139,139,139,102,105,108,111,116,118,116,144,137,100,67,50,52,44,58,56,108,139,134,137,137,138,139,140,139,140,140,140,103,107,109,112,118,115,135,157,132,94,69,58,57,53,51,77,136,135,136,137,138,139,140,140,139,140,142,142,104,107,111,113,116,114,157,148,117,87,62,56,54,58,58,123,139,135,137,138,139,139,141,143,142,142,143,142,104,107,111,115,115,128,165,140,108,78,58,54,52,54,81,140,136,137,138,138,139,140,141,141,141,143,143,143,105,108,111,115,112,150,159,130,101,71,55,54,56,54,110,140,136,138,139,138,140,142,142,144,145,143,144,143,105,109,113,113,123,166,149,122,96,67,54,55,55,47,124,140,136,139,138,140,141,143,143,133,119,110,122,147,105,109,114,110,149,165,141,113,88,62,52,56,56,49,87,143,138,137,139,142,146,139,120,114,109,84,94,149,105,110,112,120,165,151,130,109,85,61,51,53,56,64,60,99,139,142,143,141,126,118,118,110,91,106,141,145,106,111,107,144,164,143,125,101,79,58,49,53,60,69,78,69,81,112,118,113,105,111,120,84,113,151,145,145,106,108,113,163,154,142,118,93,76,59,47,57,67,78,88,87,77,94,104,118,122,116,93,86,148,144,145,146,107,104,138,164,144,133,110,95,79,60,47,68,84,95,101,95,91,104,115,114,105,96,98,134,148,146,145,145,106,110,160,152,144,130,111,98,79,60,53,81,96,100,105,103,93,102,101,90,108,132,146,146,146,146,145,146,100,134,164,147,142,129,109,96,78,61,58,90,98,97,104,106,79,77,102,132,148,147,145,145,145,147,147,147,106,161,156,145,139,124,103,91,78,61,63,94,96,93,105,86,85,121,144,145,143,144,146,145,146,147,147,147,136,164,145,142,137,114,91,82,70,58,73,88,96,92,88,103,141,146,143,143,144,144,144,145,147,147,147,147,159,150,140,131,126,105,86,76,65,64,76,80,91,82,114,143,140,141,144,144,145,145,144,146,148,147,147,147,149,143,134,123,125,93,77,74,67,72,62,74,105,127,142,139,141,143,144,144,145,145,145,146,147,147,147,147,145,140,129,117,127,87,69,75,74,65,82,124,136,140,139,141,140,142,144,144,145,145,145,147,148,148,147,147
13,138,141,142,143,145,145,147,148,149,148,147,148,149,150,151,150,149,152,150,150,149,150,149,150,150,150,150,150,140,142,144,145,147,148,149,149,149,150,150,149,150,150,144,151,155,151,151,151,151,151,153,152,152,153,151,150,142,144,146,147,147,149,150,149,150,152,156,153,156,151,112,82,139,157,151,151,153,154,154,154,154,155,153,153,143,145,148,148,149,151,151,151,152,149,135,140,166,155,117,50,107,168,154,159,155,156,156,156,156,156,156,156,143,146,148,149,151,153,154,151,167,152,105,84,140,153,116,56,89,107,93,126,160,156,156,156,155,155,156,156,145,147,149,151,152,154,154,149,175,168,125,81,133,156,105,52,70,119,77,41,141,164,158,158,157,157,157,158,147,147,150,152,153,152,157,128,90,122,143,85,126,154,97,47,129,139,90,37,105,171,159,160,160,161,160,160,148,150,152,154,152,160,166,128,91,63,129,84,119,172,96,72,145,118,85,39,108,171,159,161,161,162,162,161,150,153,154,153,161,162,160,144,109,63,104,97,91,144,82,75,151,123,78,33,129,170,160,162,163,163,163,162,151,154,155,155,166,134,143,151,106,62,75,112,54,26,31,84,163,127,64,40,148,166,162,163,163,164,163,162,152,154,154,161,166,139,120,139,109,58,57,105,66,0,38,116,121,74,34,56,165,165,164,165,163,164,165,164,155,156,156,170,162,135,102,143,105,59,52,88,70,11,32,125,136,100,55,95,178,164,167,166,165,165,165,165,155,155,157,176,164,135,93,131,100,59,46,88,77,47,127,127,124,118,94,71,165,167,167,167,166,166,166,166,155,156,159,177,156,128,89,108,103,67,45,125,100,98,161,140,116,93,79,49,131,176,168,168,167,167,167,167,157,157,161,176,157,136,115,94,98,97,31,109,125,151,152,134,112,80,65,51,143,174,168,169,169,168,168,167,156,157,164,176,159,141,126,100,76,63,42,130,162,168,149,124,103,75,58,62,165,170,169,170,171,169,169,169,157,157,165,177,159,140,127,120,89,77,97,166,167,167,140,114,92,69,52,85,177,169,171,171,171,170,169,170,158,158,164,171,160,144,133,128,99,88,92,156,167,156,123,99,81,63,49,132,180,171,174,172,171,170,171,171,159,159,161,163,162,147,135,131,109,87,93,157,165,141,113,90,74,53,83,175,173,175,174,172,172,172,172,172,158,159,159,163,164,149,135,131,113,90,106,145,155,125,106,81,68,47,137,180,171,174,173,173,173,173,172,172,157,159,160,164,165,150,135,127,112,89,112,137,131,110,96,75,59,65,169,172,172,173,173,172,173,173,172,172,157,160,159,165,164,142,130,118,98,88,119,122,107,99,84,71,49,115,181,171,172,172,172,172,173,172,171,172,158,160,154,167,157,134,127,106,92,95,121,109,99,93,76,59,74,168,173,172,172,173,173,173,173,173,173,173,157,157,154,176,152,137,128,106,101,109,123,104,97,80,68,56,144,176,171,173,173,173,173,173,173,173,173,173,158,154,160,180,154,148,131,106,111,121,110,95,86,67,49,107,175,172,172,173,173,174,174,174,174,174,173,173,159,152,162,167,150,151,135,113,119,116,99,84,71,55,62,163,174,172,172,172,173,174,174,174,174,174,173,173,161,148,161,155,138,139,128,110,109,111,90,69,66,42,114,177,172,174,172,173,173,174,175,175,175,174,174,175,112,127,165,148,131,116,110,100,108,116,78,65,61,47,138,167,166,169,171,172,173,174,176,175,174,176,173,165
1,172,173,174,174,175,175,175,176,176,175,175,175,175,174,174,176,164,145,168,166,167,165,162,161,160,159,156,154,176,177,178,178,179,179,180,180,180,179,179,179,179,180,168,165,175,93,163,180,169,169,166,164,163,162,159,157,181,182,183,183,184,183,184,185,184,184,183,184,182,190,172,106,173,89,102,138,175,171,170,168,168,166,163,161,186,186,187,187,188,188,188,188,187,187,188,188,185,198,162,99,172,76,56,80,155,181,173,171,170,169,167,163,189,190,190,190,192,192,191,192,191,192,192,194,193,203,135,104,170,57,94,100,128,190,175,175,174,172,169,167,194,194,195,194,194,194,195,195,193,193,197,170,173,206,111,121,175,65,121,106,110,193,178,179,177,176,173,170,198,198,199,199,199,200,200,199,197,196,201,156,115,207,109,144,162,61,131,109,109,197,183,183,179,177,176,173,202,202,202,204,203,202,203,202,203,201,205,141,111,192,97,163,131,62,156,121,110,200,186,187,183,181,179,177,204,205,205,206,205,204,204,203,204,203,207,112,131,164,96,177,127,94,183,110,109,203,189,189,186,184,182,180,208,208,208,209,208,208,207,208,208,208,206,103,140,167,107,184,134,102,183,99,113,207,191,191,189,186,185,184,210,210,210,210,210,212,211,210,209,212,195,87,145,179,97,180,129,83,177,116,127,209,193,193,192,190,187,185,213,212,212,213,213,213,212,213,210,217,184,77,158,161,69,163,97,82,189,112,129,212,196,196,195,194,191,187,215,215,215,215,215,217,216,216,214,218,190,82,149,144,82,171,93,100,182,101,128,215,199,201,198,197,194,190,217,218,218,218,218,218,218,217,216,220,168,88,159,150,150,174,143,105,132,104,133,216,202,204,200,197,195,194,218,219,219,218,218,219,218,218,219,213,168,165,148,121,137,140,147,127,107,96,100,211,204,204,203,200,197,196,220,220,221,220,220,220,220,220,220,213,190,151,113,103,118,142,147,120,106,114,76,188,213,204,204,203,200,197,221,221,222,222,222,222,223,223,224,216,172,116,98,102,122,163,152,134,171,160,83,152,223,207,207,204,203,200,224,223,224,224,224,225,225,226,220,210,164,105,104,116,134,170,180,179,153,175,118,117,224,208,209,205,203,202,224,226,227,226,226,227,226,228,214,206,175,111,89,121,153,180,193,207,140,172,146,86,210,213,209,207,205,203,226,227,227,227,227,228,227,230,210,204,188,127,81,122,160,183,190,195,173,151,107,65,207,215,211,211,208,205,228,228,227,228,229,229,229,233,206,202,193,143,99,103,161,198,198,192,156,139,71,92,227,213,212,211,210,208,227,228,228,229,230,231,230,235,208,187,184,145,110,100,174,213,207,190,144,109,55,164,229,214,214,212,212,210,227,228,228,229,230,231,229,234,217,179,172,148,119,112,185,204,185,164,124,80,70,221,220,217,216,213,212,211,226,228,228,228,229,230,230,233,226,187,175,155,130,125,185,193,173,139,106,51,127,235,217,218,217,214,211,210,227,229,229,229,230,231,230,231,233,192,174,169,141,124,171,174,155,116,74,48,202,224,218,218,215,212,210,208,228,229,230,230,230,232,230,232,235,200,179,168,142,123,148,140,112,79,28,140,234,218,220,219,216,211,208,208,228,228,229,231,231,231,231,233,229,199,185,168,145,128,130,118,79,35,129,236,222,222,220,219,217,216,220,208,228,228,229,231,231,231,232,236,212,191,195,174,166,143,117,99,43,81,240,226,225,224,221,219,218,201,162,98
19,176,176,177,180,181,183,181,182,183,182,182,181,181,181,180,179,178,176,176,176,175,175,173,172,173,172,169,168,176,177,179,181,181,183,183,183,184,184,184,183,182,182,181,180,180,177,176,177,176,175,175,174,174,174,173,171,177,179,181,181,183,184,184,185,185,185,185,185,183,183,183,181,180,180,179,179,178,177,176,176,177,175,174,174,180,180,182,183,185,185,186,186,186,185,187,185,184,184,184,183,182,181,181,180,180,180,178,177,177,175,175,175,181,182,183,184,186,187,188,189,188,189,190,187,186,186,185,184,182,182,182,181,181,180,179,179,176,176,176,175,181,182,184,185,187,189,190,190,189,190,190,189,190,187,185,185,184,183,183,184,183,182,180,179,178,178,177,176,182,184,187,188,189,190,192,192,192,192,191,190,190,188,188,189,186,185,185,184,184,183,180,180,180,177,178,178,184,187,188,190,190,192,192,192,193,192,192,190,190,189,189,191,191,188,188,187,185,185,183,183,181,183,180,179,186,189,190,191,193,193,194,194,195,195,193,191,190,190,186,168,171,187,181,180,182,182,178,178,185,158,176,180,186,189,190,191,193,192,193,193,194,190,191,194,192,195,193,173,179,194,179,177,186,179,179,178,167,97,165,185,187,191,190,192,195,197,195,198,202,174,162,171,181,184,177,174,180,183,171,180,197,183,160,134,109,135,182,182,189,191,191,192,196,197,194,195,174,163,172,175,172,177,172,158,125,127,125,127,155,141,135,141,166,187,185,184,190,191,192,194,196,191,199,203,184,187,193,186,170,162,136,130,115,88,88,137,179,178,190,193,191,187,184,185,191,193,194,195,197,187,227,233,212,198,195,186,179,158,112,81,102,87,84,177,200,191,190,188,187,187,186,185,193,193,194,197,200,189,233,228,192,165,143,145,147,139,112,89,100,89,99,191,193,190,190,190,189,190,188,187,194,194,196,197,201,189,216,214,172,130,118,83,89,148,120,95,102,90,110,196,194,192,192,191,190,190,189,189,194,196,198,198,202,185,206,210,164,115,85,61,117,159,122,100,105,89,133,203,193,196,194,192,191,189,189,188,195,197,199,199,205,182,207,213,175,141,96,74,120,116,102,103,100,98,119,203,196,196,195,195,192,190,190,188,196,198,198,199,205,180,206,215,179,144,119,94,60,50,54,69,84,96,96,195,199,195,195,195,194,191,190,190,197,199,199,200,207,174,203,214,180,148,118,110,94,69,61,70,87,91,92,183,202,198,197,196,196,193,191,192,198,199,199,201,207,179,195,210,177,147,119,110,110,91,85,91,96,100,96,182,203,198,198,196,196,195,194,194,197,199,200,201,209,182,193,207,173,143,122,112,112,94,89,94,101,105,106,192,201,198,199,197,197,198,197,195,197,200,200,203,210,188,193,203,170,141,121,111,110,97,93,98,105,104,125,204,200,200,200,200,199,198,198,195,198,200,202,203,209,189,202,200,164,137,121,109,109,106,103,106,115,104,165,209,201,200,200,200,199,197,197,195,199,200,203,204,207,187,209,205,169,141,126,111,108,114,112,116,111,131,203,205,204,203,202,201,200,198,199,197,199,200,203,205,206,185,213,200,176,153,128,111,108,117,116,114,142,195,208,205,205,205,204,203,201,199,197,198,199,199,201,204,200,190,209,189,166,153,128,111,114,115,108,154,208,206,204,205,204,202,201,201,201,200,198,196,198,199,201,205,197,207,208,192,162,143,129,113,113,107,109,186,206,202,204,204,204,201,200,200,199,197,196,196
7,134,135,137,138,137,138,137,137,137,137,136,135,135,134,134,133,132,131,130,130,129,129,127,131,104,23,15,25,136,136,138,139,139,139,139,139,138,138,137,137,137,136,138,135,134,133,131,129,131,128,126,132,122,93,74,65,137,138,140,141,142,142,141,141,140,141,139,137,139,131,117,127,129,126,116,116,113,115,135,123,102,63,126,124,139,141,141,143,142,142,143,142,141,140,140,141,143,134,114,119,135,131,114,110,105,108,138,109,93,87,143,95,140,142,142,143,143,143,143,143,146,150,156,156,150,130,120,124,112,103,105,94,95,84,82,101,115,96,91,74,142,143,144,145,145,145,138,143,154,160,159,152,144,138,135,132,111,82,105,113,101,97,87,88,75,94,90,117,143,144,147,145,156,159,146,142,147,150,146,144,143,141,141,127,110,99,105,111,103,102,97,81,63,89,88,95,144,145,147,149,172,164,154,142,143,148,148,146,145,141,139,127,108,96,86,79,73,74,68,63,59,61,76,125,145,147,145,161,175,165,146,126,131,144,147,144,136,124,111,96,82,88,83,85,91,99,102,101,110,118,124,118,148,149,147,172,170,161,134,120,133,128,120,114,102,95,89,78,74,95,152,146,144,145,144,143,140,138,139,107,149,146,158,177,168,156,143,137,130,117,118,122,120,114,110,107,114,66,75,138,144,141,141,139,136,135,135,134,149,147,174,174,170,166,167,154,126,124,128,126,121,109,105,102,96,72,15,72,151,142,142,140,139,137,135,136,145,157,179,174,172,172,173,155,112,113,119,115,110,101,96,89,79,62,25,47,150,143,144,143,141,139,137,136,149,174,178,176,173,171,165,142,116,109,90,73,72,86,96,102,110,89,35,101,150,142,144,143,142,141,139,136,166,179,177,175,173,165,156,142,127,111,95,85,100,127,126,111,115,98,95,156,143,144,144,144,142,142,140,137,175,178,178,175,168,160,151,133,118,125,114,107,122,120,109,101,99,72,95,157,146,146,145,144,143,142,141,139,178,178,176,173,165,151,129,121,136,140,119,112,114,106,101,94,85,47,112,156,148,148,146,145,145,143,142,140,178,177,174,170,157,140,138,147,154,143,125,104,89,77,67,53,49,81,149,150,150,150,148,146,144,143,142,140,177,173,166,160,152,150,152,150,144,131,107,86,58,92,71,83,125,152,153,152,151,150,149,147,145,143,142,141,171,166,159,156,154,157,150,134,131,121,104,72,97,158,157,160,160,154,154,152,149,149,149,149,146,144,144,141,162,156,158,155,150,149,142,131,129,110,70,95,162,157,156,155,155,155,155,153,152,150,150,149,147,146,144,142,155,148,151,150,142,137,132,125,107,69,81,160,158,157,156,155,156,155,154,153,153,152,150,149,148,146,143,139,153,149,144,137,127,123,117,104,67,74,154,160,156,156,156,156,155,155,153,152,151,150,150,148,145,146,147,135,151,143,133,120,108,105,91,60,78,152,162,159,158,158,156,156,155,155,153,153,152,152,149,146,153,126,67,105,134,122,109,93,85,71,51,88,157,163,159,160,160,159,157,156,156,155,154,153,152,150,152,154,135,57,14,19,114,103,94,88,69,68,116,165,162,160,160,160,159,159,158,157,156,156,153,153,158,158,141,93,40,21,17,14,109,107,91,69,68,157,168,160,160,160,160,160,159,159,158,156,157,158,160,151,127,88,43,21,19,22,18,16,126,116,92,58,80,170,159,161,160,159,160,160,159,159,157,156,151,143,109,64,28,10,15,17,14,15,16,16
13,136,138,142,150,157,161,164,166,169,172,177,179,180,183,186,187,188,189,188,190,191,190,190,190,190,191,190,189,138,140,145,152,158,162,165,167,170,174,178,180,182,185,187,188,189,190,191,192,192,192,192,191,193,194,193,191,140,142,147,154,161,164,167,169,173,176,179,182,185,187,189,189,190,191,192,193,193,193,194,194,195,195,194,193,142,144,150,156,163,166,169,172,175,178,180,183,186,189,191,191,193,187,187,196,198,197,196,196,197,196,195,195,144,146,151,158,164,168,171,175,178,180,183,185,188,190,197,216,214,174,138,164,180,191,199,198,198,198,197,197,145,148,154,160,166,170,173,177,180,182,186,188,191,187,189,207,216,171,115,94,131,139,172,200,199,200,199,199,145,150,155,161,167,172,175,178,181,185,188,195,202,164,145,156,201,176,119,86,136,121,109,196,202,201,200,200,146,150,157,162,169,173,175,180,183,187,180,208,224,194,152,115,163,199,146,92,143,118,103,196,203,202,201,201,147,151,159,164,170,174,177,181,188,198,155,144,208,219,178,116,100,187,149,94,151,130,116,201,204,204,203,202,150,153,159,165,171,175,178,184,210,216,169,120,139,224,196,132,69,108,124,86,172,138,146,206,205,205,204,203,151,155,161,168,172,176,180,206,209,216,195,142,88,192,187,127,66,49,74,83,150,120,161,209,206,206,205,205,152,156,164,170,174,178,196,211,173,194,201,151,80,150,174,119,64,43,85,123,138,115,122,202,209,208,207,207,154,158,167,172,176,182,218,210,173,172,180,131,78,120,171,135,66,81,145,156,132,111,105,166,212,209,209,208,158,162,169,175,178,193,214,189,153,150,161,112,63,91,179,147,81,150,183,164,128,100,104,123,209,210,210,210,159,164,172,178,181,205,224,195,159,131,142,108,55,61,166,142,130,196,187,158,125,101,92,118,210,212,211,211,160,166,175,182,184,210,229,202,170,123,115,102,65,100,181,185,199,196,173,142,119,96,80,158,216,214,214,213,161,169,178,185,187,217,236,212,178,136,113,115,140,182,213,217,211,186,159,131,110,87,94,199,215,215,214,214,163,172,181,187,190,223,239,221,181,157,158,154,172,196,214,212,201,176,148,126,100,75,127,217,215,216,216,216,167,176,185,190,193,224,233,229,193,176,174,156,187,200,209,208,188,162,138,116,91,71,168,221,218,217,217,217,172,181,189,195,197,215,228,233,207,189,178,163,191,209,201,193,170,146,125,105,79,103,212,221,220,219,219,219,175,183,192,198,201,206,228,228,215,195,179,168,184,205,195,173,154,133,118,96,92,188,226,223,222,221,221,221,178,186,194,199,204,203,221,222,216,203,191,178,176,195,189,163,141,122,109,90,168,227,226,225,224,224,223,222,180,188,196,201,206,206,211,225,219,212,205,186,173,186,180,152,122,113,94,138,224,228,228,228,226,225,226,223,182,191,200,205,209,208,205,225,212,206,200,181,167,174,165,140,110,103,106,206,231,229,230,230,229,224,189,140,184,194,202,208,211,212,208,219,191,188,193,183,168,166,153,135,111,91,158,232,233,232,232,233,225,155,79,49,186,195,203,208,212,213,208,225,197,198,204,194,171,157,147,134,112,89,193,232,235,235,236,223,147,70,57,34,187,196,203,208,212,214,206,229,209,210,215,197,176,153,146,133,111,92,209,234,236,231,182,112,61,56,64,37,188,197,205,209,213,216,207,228,225,226,223,199,179,155,145,133,107,94,213,234,238,187,88,54,37,47,64,51
10,63,65,67,70,75,78,84,95,104,111,116,119,122,126,129,132,135,138,139,141,143,143,144,146,147,145,147,148,64,66,68,70,75,78,85,97,106,113,119,121,123,127,130,132,136,137,138,144,143,144,145,147,148,147,147,148,63,67,69,72,76,79,86,99,108,115,120,122,124,129,131,135,135,145,145,124,146,146,146,148,149,148,148,148,63,67,69,73,77,80,89,101,109,117,122,123,127,130,134,138,132,168,157,83,136,151,149,150,151,151,150,150,64,68,70,74,78,81,90,103,111,118,123,125,129,132,135,139,137,158,165,98,106,158,150,152,153,153,153,153,65,69,72,74,78,82,92,104,112,121,125,127,132,135,138,142,142,151,172,113,83,150,156,156,156,156,156,156,66,70,72,75,79,82,94,106,115,122,127,128,133,137,140,143,148,147,172,136,87,131,162,156,158,158,158,158,66,70,73,77,80,83,95,107,116,123,128,129,134,139,143,146,149,148,169,155,98,108,167,159,160,161,161,160,67,71,74,78,80,84,97,110,118,125,130,130,135,139,144,145,165,154,100,136,112,89,162,164,164,164,164,164,68,71,74,77,80,86,100,111,120,127,130,133,138,143,147,147,178,127,75,107,161,89,149,170,166,167,166,166,69,72,75,78,81,87,101,112,121,129,131,134,140,143,150,149,173,119,88,78,178,98,130,175,168,170,169,168,69,72,75,79,82,88,102,113,122,130,132,137,140,151,142,160,192,139,129,84,125,114,108,178,170,172,171,171,70,73,75,80,83,90,104,115,125,132,134,132,155,197,157,177,164,158,151,103,78,111,94,174,172,173,173,174,72,73,76,80,83,90,105,116,126,132,139,146,158,220,186,187,129,119,156,125,79,84,80,158,178,174,175,174,72,74,77,80,83,91,106,117,129,125,185,207,145,154,192,195,147,75,139,154,106,75,63,139,183,174,176,176,73,74,77,80,83,92,107,119,130,128,193,222,164,87,140,199,140,77,88,156,127,89,58,121,185,176,179,179,72,74,77,81,85,94,109,120,131,137,163,141,173,154,100,138,94,56,58,130,136,106,69,107,186,177,179,180,73,74,78,81,85,95,109,121,132,137,173,125,146,170,85,101,113,48,94,139,136,124,86,94,184,179,180,181,73,75,78,81,85,96,111,123,135,134,185,170,118,100,87,119,122,114,176,163,140,132,98,89,178,183,181,181,74,76,78,82,85,97,112,125,136,136,186,167,140,123,112,121,131,194,194,155,144,126,100,95,177,184,182,182,73,76,79,82,85,99,113,126,138,136,206,199,168,132,129,141,215,221,175,140,126,116,100,104,182,184,184,184,74,76,80,81,85,100,113,125,138,135,206,211,172,142,154,174,238,202,168,142,114,105,96,118,189,184,185,186,75,76,79,82,86,99,114,127,140,135,213,218,170,170,163,184,232,192,158,137,113,99,91,138,192,184,186,186,75,76,79,82,86,101,116,128,140,137,204,207,177,185,168,208,214,177,145,124,108,100,91,151,193,185,187,187,75,77,80,82,87,101,116,129,141,136,188,205,199,192,188,217,194,156,132,112,102,100,96,171,191,186,188,188,75,77,80,82,87,102,116,129,142,138,168,219,213,191,174,188,175,142,119,106,102,91,112,190,188,189,189,190,74,77,81,81,88,104,118,130,141,144,150,208,200,179,160,162,159,145,125,112,103,82,135,195,189,190,190,193,74,77,81,82,89,105,119,132,140,146,144,181,180,165,157,160,156,159,137,111,99,78,152,196,188,191,192,194
2,152,152,151,151,152,152,152,151,150,149,150,150,149,148,147,146,145,144,146,144,143,142,142,143,141,139,138,137,153,153,153,153,153,153,153,153,153,152,151,151,151,150,149,149,148,146,147,146,145,144,143,143,141,140,139,139,153,154,154,154,154,154,154,153,154,154,152,153,153,152,150,145,143,146,146,149,149,148,145,143,142,141,140,140,154,155,156,156,155,155,156,155,155,155,154,155,152,156,156,143,135,136,132,129,133,140,150,145,144,143,142,142,156,157,157,157,157,157,158,157,157,156,155,152,164,168,156,149,144,136,130,115,107,87,104,152,145,144,144,142,157,158,157,156,158,158,158,157,157,157,155,164,173,167,163,163,162,144,134,132,105,101,72,119,148,147,144,143,158,159,159,158,159,159,159,159,159,156,161,171,170,173,116,99,125,93,87,133,127,118,98,82,90,131,147,143,160,160,160,160,160,160,160,161,159,157,168,172,159,139,87,51,57,55,55,82,102,89,64,63,56,126,151,144,162,162,161,162,163,162,162,160,162,171,182,140,93,76,62,54,51,58,139,129,136,118,85,72,102,151,147,146,163,164,164,163,163,164,162,164,179,185,170,124,86,62,45,47,48,102,164,157,158,158,154,147,152,149,148,147,163,165,165,164,164,165,162,175,185,180,151,116,91,72,59,45,92,156,155,155,155,153,154,155,152,150,149,149,166,166,166,166,166,159,172,185,179,152,113,87,77,64,51,96,166,157,158,158,155,155,154,154,154,151,149,148,167,168,167,168,161,171,192,184,167,150,107,60,56,60,54,144,163,158,159,158,158,156,155,155,154,151,151,149,168,168,169,162,172,195,190,171,153,150,106,72,58,49,91,168,159,160,161,159,159,158,157,154,155,154,152,150,169,171,165,172,196,192,176,162,164,128,91,70,52,42,147,168,162,160,161,161,159,158,157,156,157,155,151,151,172,170,168,195,196,186,169,171,151,112,90,59,51,43,128,174,162,162,163,162,161,160,162,159,148,150,157,152,172,168,191,199,194,180,168,159,134,107,78,44,49,50,61,154,166,164,163,162,162,164,146,125,121,106,134,157,168,183,202,194,186,172,161,152,128,91,62,45,52,54,48,92,175,161,167,168,167,129,106,123,129,83,116,160,177,202,195,187,175,168,154,141,112,76,56,56,64,65,61,59,144,176,157,126,97,97,118,124,85,110,158,153,203,203,190,181,168,155,144,129,94,72,59,69,77,77,74,62,69,111,83,84,77,97,116,82,91,165,157,156,114,179,189,172,163,147,137,116,92,72,64,79,81,80,74,70,62,70,73,91,98,95,87,49,146,162,158,158,52,74,136,150,143,138,125,115,88,64,67,83,79,78,75,71,68,80,86,90,92,75,48,85,166,159,159,158,60,53,52,93,110,101,95,79,60,59,64,76,74,74,70,70,73,78,80,72,64,80,121,159,163,161,160,159,51,57,52,49,59,62,54,44,49,54,54,66,70,68,59,58,53,53,69,103,138,166,172,166,165,164,161,160,52,51,50,54,50,31,36,42,39,40,44,52,47,42,62,80,88,120,160,175,174,170,166,165,165,163,162,160,51,47,48,46,55,35,14,26,25,24,38,49,71,116,161,175,178,179,174,170,169,169,167,167,166,164,163,161,50,47,46,43,54,48,11,16,22,13,53,158,184,183,179,176,173,172,172,172,171,171,170,168,167,165,164,162,45,43,42,40,47,49,13,12,17,16,10,47,164,179,175,177,176,176,175,174,173,172,171,169,167,166,165,163
3,74,85,94,99,103,108,113,117,120,123,124,126,128,129,129,129,133,132,129,130,130,129,129,128,127,126,125,124,80,91,98,103,109,114,119,124,126,129,131,133,134,134,135,142,104,125,139,135,137,135,134,134,132,131,129,128,85,96,104,108,113,120,124,129,132,135,137,138,140,140,142,149,68,72,154,140,142,142,142,141,138,137,135,133,90,101,109,114,119,126,130,135,138,141,143,144,146,147,149,149,68,32,148,147,147,148,146,146,144,141,139,138,94,105,115,117,124,130,136,140,143,146,148,149,151,151,153,158,72,15,132,157,151,152,150,150,149,146,144,143,98,109,119,123,127,134,140,145,147,150,153,153,156,157,157,164,86,11,115,167,154,155,155,154,152,150,149,149,103,113,122,126,132,138,144,150,152,155,156,158,161,161,159,184,112,15,92,175,160,161,161,159,156,155,153,152,106,116,125,130,136,141,147,152,156,159,160,163,162,165,147,153,97,7,74,177,162,165,165,163,161,160,158,157,109,121,129,133,139,145,151,156,158,161,164,168,168,198,164,96,44,24,64,177,168,168,168,168,166,164,162,161,114,124,131,137,143,149,155,160,161,165,169,156,123,177,197,131,33,96,79,164,176,172,172,172,170,169,166,164,116,126,133,139,147,152,157,162,166,165,186,176,127,117,207,144,99,156,40,125,187,175,176,174,173,171,169,168,120,129,136,141,150,155,160,165,170,143,137,192,177,110,168,141,113,128,24,51,187,178,178,177,176,174,173,171,121,131,139,144,151,156,162,166,181,172,134,124,184,124,131,138,78,127,69,22,118,193,177,179,178,179,177,175,124,134,141,147,154,158,165,172,169,186,176,97,114,149,93,142,79,102,111,52,54,192,180,181,180,179,177,177,125,135,143,148,155,161,168,174,160,107,138,72,42,119,48,141,140,57,108,65,52,188,185,184,183,182,182,180,127,136,144,150,156,163,169,175,173,101,107,75,22,91,54,53,54,3,85,72,46,188,188,186,185,183,183,181,128,137,145,152,158,165,171,175,185,149,84,73,41,68,121,40,0,27,118,83,31,169,195,186,187,186,185,185,128,136,143,151,159,165,171,176,180,134,72,49,30,12,74,52,33,84,138,85,24,149,202,188,188,188,187,186,129,136,144,151,159,164,171,174,180,165,112,59,31,17,34,111,130,134,109,67,34,163,198,188,189,188,188,187,129,138,146,152,159,165,171,174,185,176,122,69,59,68,83,181,190,151,103,44,51,189,191,188,189,189,185,181,131,141,148,154,160,165,172,175,181,178,142,97,79,71,100,184,178,132,94,38,79,204,196,191,194,166,142,178,124,135,144,152,160,167,175,181,185,177,147,109,81,75,94,174,170,118,78,30,109,195,169,172,170,121,116,180,53,55,61,66,74,78,82,90,96,156,152,111,98,98,81,162,159,108,62,29,101,166,134,115,161,77,125,166,48,50,52,54,52,53,54,55,45,104,158,124,109,106,71,133,141,91,47,39,136,126,141,108,123,61,148,153,51,53,54,57,58,60,65,67,59,77,162,131,106,98,60,88,109,58,33,91,144,114,121,129,75,74,159,147,51,53,55,54,58,58,57,62,51,126,192,132,101,81,49,61,65,40,48,120,135,114,115,117,61,112,148,148,50,52,55,55,58,58,58,60,53,157,188,129,98,69,54,56,51,26,99,116,98,115,107,96,94,122,142,148,49,51,55,54,54,56,59,57,63,160,171,129,101,83,65,51,40,28,137,121,56,106,109,97,117,113,154,142
13,186,191,196,199,200,202,205,206,208,212,211,211,213,214,214,215,215,215,214,213,212,210,208,208,207,206,204,203,188,192,197,200,202,204,206,209,211,213,214,213,214,215,215,215,215,216,216,216,215,213,211,211,210,209,207,205,188,193,198,202,204,205,207,211,214,214,216,218,217,219,220,222,224,218,218,223,221,214,214,214,212,210,209,209,189,194,199,202,204,207,209,213,215,215,217,220,219,220,215,187,185,225,215,187,192,220,216,216,214,213,212,210,190,195,201,204,206,208,211,213,215,216,219,222,220,223,206,165,124,170,190,150,102,167,228,215,216,214,214,211,191,196,201,205,207,208,212,215,217,219,220,222,220,229,231,187,161,101,155,166,111,100,226,219,218,216,215,213,192,197,203,206,208,210,214,216,218,221,221,222,223,225,240,196,160,95,127,166,121,82,213,224,219,217,216,214,193,198,204,207,208,211,216,219,220,222,224,224,226,225,224,196,147,100,94,136,106,72,206,226,219,219,219,217,193,198,203,208,210,212,217,219,221,224,225,226,221,233,218,195,142,111,83,124,101,72,208,227,221,221,220,218,193,200,205,210,211,214,217,220,223,225,227,214,160,150,153,179,176,132,92,141,120,85,222,225,224,222,220,218,195,201,206,209,211,215,218,221,224,224,238,203,144,119,104,175,213,155,99,129,125,65,191,235,223,223,221,220,195,201,206,210,213,216,219,222,224,220,207,198,160,152,103,108,196,144,90,105,100,74,115,234,225,224,223,222,195,201,208,212,214,217,221,220,225,209,133,137,187,159,134,56,69,62,83,103,96,115,88,177,239,223,223,223,195,201,208,213,214,216,219,225,244,189,141,110,170,171,140,99,31,53,69,100,135,137,112,107,235,226,225,223,195,202,209,213,215,218,218,239,214,180,159,141,124,171,145,125,56,73,123,135,152,142,123,82,212,233,226,224,196,204,209,214,215,217,222,242,187,172,171,144,113,146,149,114,62,73,166,185,173,127,114,84,214,233,226,226,198,204,209,215,216,218,223,238,196,140,141,136,113,92,117,83,62,92,179,182,175,134,91,99,234,230,229,226,197,205,211,215,218,218,224,226,204,169,127,105,75,43,87,105,83,138,203,178,166,132,75,131,246,228,230,226,199,205,211,216,218,220,224,227,225,195,153,118,98,86,101,113,123,209,206,170,149,125,67,172,246,230,230,227,199,206,212,217,218,222,224,224,221,205,175,158,132,129,147,171,199,218,191,161,136,113,71,208,240,231,231,229,198,206,213,216,217,222,223,225,216,197,177,151,127,127,155,219,211,197,174,150,126,94,86,235,237,233,232,230,198,206,212,216,217,221,224,229,202,183,175,152,134,136,145,197,201,188,161,134,117,77,112,249,234,235,232,230,198,206,212,218,220,223,226,233,208,187,176,156,149,142,143,192,198,185,152,119,106,58,167,251,235,235,232,230,199,207,214,217,218,222,224,232,229,188,176,168,153,137,133,172,185,168,131,103,80,77,234,240,237,234,232,231,200,207,214,217,218,221,225,229,235,215,181,167,148,136,128,151,168,152,117,100,57,157,252,236,237,234,233,231,200,206,214,218,218,222,226,229,231,236,203,167,144,130,131,140,159,148,117,94,69,221,243,239,237,236,233,231,199,205,213,217,218,220,225,228,230,231,215,181,161,153,157,151,155,151,112,80,114,246,237,237,237,234,232,230,196,204,211,215,216,219,224,226,230,223,221,192,179,176,168,159,155,141,108,72,157,251,236,235,234,233,231,229
20,162,166,170,175,176,180,184,186,188,189,190,192,190,193,193,190,191,190,190,189,186,184,184,183,180,178,178,176,164,169,173,177,180,184,187,189,191,193,194,192,199,176,183,198,193,193,193,191,191,188,186,185,184,184,182,180,167,172,176,180,185,189,191,193,194,197,199,191,230,152,126,203,196,195,196,195,193,191,191,189,188,187,185,183,170,175,180,184,188,192,193,195,198,201,201,196,240,161,133,154,168,204,197,197,196,193,193,190,191,190,188,187,172,177,184,187,191,194,197,200,202,203,204,200,237,156,170,174,126,212,198,201,200,199,197,195,194,193,192,190,176,181,187,191,192,196,202,205,206,206,206,204,246,175,174,198,110,204,204,203,203,202,200,199,198,197,196,193,180,186,190,193,196,199,204,207,209,210,210,207,253,189,167,221,113,194,211,206,206,204,202,202,202,201,199,197,184,188,192,196,199,202,207,210,210,210,215,214,248,177,164,231,123,180,220,209,209,207,205,204,203,202,201,199,186,191,194,199,203,207,210,210,218,222,195,216,255,185,171,235,131,166,223,211,212,210,208,208,206,205,203,201,188,193,197,202,205,210,211,210,228,255,201,181,215,178,159,253,150,159,226,211,213,213,212,211,209,208,206,203,190,195,200,204,208,208,218,255,194,181,235,177,126,119,123,230,155,150,227,214,216,215,213,212,213,210,208,207,192,198,202,205,211,209,236,232,218,170,228,222,218,184,122,163,150,141,230,219,219,219,215,213,213,212,211,210,194,200,203,209,214,213,235,216,182,165,181,216,235,233,147,94,117,131,230,219,220,219,217,215,213,213,213,211,196,202,206,210,215,218,228,246,204,143,99,97,135,229,185,103,71,122,232,221,223,222,220,218,217,216,214,214,198,203,210,214,217,221,224,255,217,151,109,95,85,210,230,146,69,105,232,226,225,223,223,221,221,219,214,214,199,206,212,215,220,223,227,255,215,160,119,132,150,223,255,190,107,88,227,231,228,225,225,223,222,220,217,215,203,209,214,217,222,226,229,255,227,163,144,134,188,255,250,196,141,85,222,235,228,227,226,224,223,222,220,217,204,210,216,221,225,229,233,255,233,175,154,156,225,255,225,168,124,85,225,234,231,229,227,227,225,223,223,220,205,212,217,220,227,230,233,255,242,196,176,165,249,255,202,143,93,108,240,232,232,231,230,230,229,226,224,220,208,216,220,225,229,231,234,255,244,196,186,174,255,249,186,133,84,119,248,234,236,233,231,232,231,230,224,221,210,217,222,227,230,234,234,254,245,200,201,179,249,230,168,123,75,127,250,235,238,237,233,232,230,230,227,224,210,218,224,229,232,235,236,246,251,218,217,179,239,211,148,109,67,149,254,237,238,238,237,233,232,232,229,226,211,219,225,229,234,235,240,244,252,225,219,171,220,185,128,102,65,183,254,239,240,238,237,236,235,233,231,228,212,219,226,229,234,237,241,245,255,220,186,148,201,159,133,105,80,229,249,243,243,239,238,237,237,234,231,229,214,221,227,230,235,239,241,246,255,231,183,171,199,145,153,83,144,255,244,246,246,242,241,240,238,237,233,230,215,221,227,232,237,240,239,251,255,250,214,205,178,139,138,69,211,255,244,247,247,244,242,241,239,238,235,232,213,220,224,230,236,240,235,251,254,225,223,203,164,132,107,97,243,248,246,245,244,241,241,240,240,237,236,232,213,219,225,231,236,242,230,255,245,202,200,186,143,118,78,135,255,247,247,246,245,243,241,239,238,237,235,231
23,46,48,52,61,72,82,89,92,95,100,106,110,114,117,118,121,124,126,128,128,127,128,128,129,130,129,128,128,45,48,53,63,73,83,91,94,97,103,108,112,116,118,119,122,127,128,128,130,130,130,130,131,132,130,129,129,46,49,54,64,75,84,92,96,97,103,109,114,117,119,122,124,127,129,131,132,132,133,133,132,133,132,131,131,46,49,53,65,76,86,93,96,98,105,111,116,119,122,125,126,128,131,133,133,133,133,133,134,133,133,133,132,48,51,53,65,77,87,94,98,101,107,112,118,119,122,125,127,130,132,132,133,134,133,134,134,134,134,134,131,48,50,56,67,78,88,94,98,103,108,113,118,121,124,127,129,131,133,133,134,137,136,136,135,134,135,134,134,47,50,56,68,78,89,97,98,102,110,115,119,122,126,129,131,133,133,136,137,134,135,133,136,139,135,133,134,48,51,57,69,80,90,97,101,104,111,117,121,125,127,131,133,133,136,136,133,161,170,145,137,133,136,136,135,47,50,58,70,80,91,98,101,105,112,118,123,126,128,132,134,136,136,141,179,194,155,151,127,70,130,140,137,48,51,57,71,81,93,99,102,107,114,120,124,127,131,133,137,136,146,201,172,134,70,99,107,110,141,139,139,48,51,59,72,83,94,101,103,108,115,121,126,129,132,134,138,133,181,219,96,49,113,144,144,148,142,141,140,48,50,59,73,84,95,102,104,109,115,122,127,131,134,137,138,140,202,204,134,147,136,131,147,144,144,143,142,48,51,59,73,85,95,103,105,111,118,123,129,134,133,136,138,164,213,206,209,196,103,94,158,144,146,145,143,47,51,60,73,85,97,104,106,112,119,124,132,130,145,167,176,198,149,172,161,149,86,62,132,145,148,147,145,48,52,61,75,87,99,106,109,114,119,127,128,149,183,177,184,201,158,187,189,157,83,49,101,126,155,147,148,49,52,62,76,88,100,107,110,115,123,126,140,184,164,155,162,161,141,163,178,141,72,40,66,81,160,150,149,49,51,61,75,89,100,109,111,116,124,123,190,208,182,171,172,159,146,146,110,92,72,35,68,50,102,157,151,49,52,62,76,89,101,109,111,117,124,129,205,209,184,146,147,163,158,147,92,68,79,25,65,68,59,136,157,49,50,62,78,89,102,109,112,116,124,132,202,204,167,119,88,100,121,125,78,75,76,18,61,71,77,148,155,49,51,63,78,90,103,109,111,117,124,135,208,207,136,82,60,29,131,123,68,84,53,38,73,68,112,163,155,48,51,65,78,90,103,110,113,121,124,138,216,193,131,85,45,53,132,100,71,59,23,56,80,83,155,159,159,48,50,64,78,91,104,111,113,121,122,148,218,183,128,90,55,46,57,58,38,30,39,57,70,117,168,159,160,45,48,63,79,90,102,109,111,120,120,156,215,176,126,90,52,19,26,32,44,63,64,63,69,147,164,160,160,45,47,62,77,91,103,111,112,122,121,168,212,170,128,90,62,39,52,66,72,79,72,60,109,167,162,162,161,43,47,61,76,90,104,111,113,122,122,166,202,162,124,93,68,51,56,77,82,82,66,80,165,164,163,164,163,41,45,59,76,91,103,111,113,122,122,168,191,151,125,99,75,63,59,80,85,84,59,122,174,163,164,164,162,37,42,56,73,89,102,109,112,121,123,177,181,155,142,113,86,70,60,77,83,73,86,164,167,165,164,164,163,40,44,57,72,86,99,106,110,119,125,191,187,169,156,127,92,75,65,75,76,76,147,170,163,164,163,163,163
12,174,180,185,188,192,195,197,200,201,201,201,202,202,201,201,201,201,202,201,199,198,197,195,194,194,193,190,187,177,181,187,191,194,196,199,202,203,203,203,204,204,204,203,208,206,202,203,200,201,201,199,198,198,194,193,192,178,182,187,192,194,198,201,203,204,207,205,203,206,211,203,183,197,209,205,210,204,204,203,203,201,199,196,195,179,183,188,193,197,200,203,204,206,206,214,196,156,188,226,177,128,185,200,171,202,207,205,204,202,201,199,198,180,185,189,193,199,201,203,206,209,204,241,240,198,142,174,241,176,106,145,147,129,209,208,207,204,203,203,201,184,188,191,195,201,204,207,210,207,223,240,239,231,167,88,194,203,109,68,155,105,146,219,206,207,205,203,202,186,191,195,200,203,206,209,212,203,251,206,205,235,153,80,160,185,110,57,115,117,78,211,210,207,208,206,204,188,192,197,201,206,211,210,208,215,178,135,214,209,132,68,172,169,96,67,120,102,78,214,211,210,209,207,207,190,194,200,202,209,209,213,243,230,138,80,145,187,153,58,154,204,119,69,149,106,98,224,211,213,211,209,207,193,197,202,206,207,218,250,246,231,161,84,79,195,157,41,160,227,115,83,204,110,139,227,210,213,212,211,209,195,200,207,208,214,253,214,197,240,177,87,29,147,137,11,86,211,96,69,184,118,195,221,215,214,213,211,210,199,203,211,209,238,250,208,168,217,163,88,29,45,58,32,80,113,118,128,143,78,186,228,215,216,216,212,211,201,207,210,216,238,209,173,119,183,163,92,35,39,44,148,228,177,173,148,127,98,115,232,217,218,217,215,212,204,210,214,213,243,214,178,106,144,165,87,41,50,113,197,216,205,171,128,93,113,84,208,225,219,219,216,213,208,212,218,212,245,222,186,133,113,158,124,54,84,180,213,206,199,172,124,95,87,81,216,225,220,219,218,215,211,216,219,224,252,227,198,162,104,130,151,64,171,225,220,209,205,150,115,96,49,129,240,223,221,219,216,215,214,220,219,235,255,235,208,169,133,108,111,138,225,224,229,225,185,127,110,83,53,211,231,224,226,229,232,223,217,222,223,241,253,242,219,177,160,141,123,186,208,219,232,212,155,118,108,52,112,250,238,238,216,185,136,85,219,224,225,236,244,247,225,188,179,161,136,187,188,228,229,188,140,112,95,52,208,220,165,111,59,35,27,19,222,227,231,227,246,249,228,199,194,173,143,197,191,223,215,161,125,101,74,75,116,48,24,13,16,18,22,33,226,229,236,228,239,240,224,204,196,176,154,186,214,194,181,137,110,90,62,23,11,11,18,14,19,12,9,27,230,233,239,234,229,240,224,208,191,175,163,170,201,178,148,123,97,82,31,0,11,23,7,6,17,21,1,11,230,234,239,235,223,245,225,206,188,173,153,156,184,165,132,110,89,62,31,0,0,25,16,0,5,22,13,0,232,236,242,235,228,243,215,193,180,170,146,156,174,154,110,97,74,31,40,8,0,5,25,4,0,10,20,4,237,241,246,236,229,241,195,172,177,164,145,161,160,133,94,78,28,0,26,28,0,0,13,19,0,0,13,13,238,241,246,236,227,254,198,184,194,178,159,162,147,115,90,53,20,0,5,30,0,0,0,16,11,0,0,16,240,242,254,217,211,255,209,210,217,180,156,155,135,106,82,25,19,0,0,15,15,0,0,3,19,0,0,10,242,242,255,170,164,255,227,237,221,167,157,159,130,102,69,24,7,4,0,0,21,0,0,0,15,12,0,0
5,119,125,132,139,146,153,159,162,164,169,173,176,178,182,185,184,198,174,177,198,197,199,199,199,199,201,201,200,119,126,133,141,147,154,160,163,166,171,172,179,183,184,187,186,219,154,148,204,198,200,200,200,201,202,203,202,120,127,135,142,149,157,162,165,169,170,182,174,181,188,185,204,210,119,165,205,198,201,203,203,204,205,205,205,122,129,137,144,152,157,163,168,170,172,217,145,159,197,183,228,170,107,191,204,201,203,205,205,205,205,206,205,125,131,137,146,153,156,166,170,167,188,208,121,167,195,201,234,139,130,209,203,204,208,207,207,207,207,208,208,124,133,138,144,162,178,148,174,163,215,172,111,187,189,232,200,121,167,213,205,207,208,209,209,208,210,210,210,126,133,140,141,179,193,120,173,170,230,155,129,192,208,225,141,125,201,208,207,206,209,208,213,211,211,212,211,127,132,141,141,184,212,118,169,185,205,132,153,195,230,200,120,149,215,203,210,233,217,168,205,215,213,213,213,128,133,142,145,178,249,139,151,199,184,126,173,203,238,190,131,182,213,218,232,223,235,171,192,220,214,216,215,128,133,143,152,162,255,211,165,189,194,152,170,220,221,166,137,199,219,247,200,185,236,142,202,220,217,218,217,129,135,144,155,151,239,255,235,191,178,158,160,209,189,151,162,221,236,197,136,182,228,123,195,226,219,219,219,132,135,146,155,158,182,254,255,222,168,142,137,154,151,157,199,230,222,171,118,205,222,125,161,232,219,221,221,129,136,147,156,166,163,198,255,227,179,137,123,126,129,154,205,192,178,140,150,228,203,139,132,226,222,223,224,130,137,148,157,166,174,167,255,239,187,156,129,124,124,141,173,172,139,122,207,236,220,152,134,224,224,225,224,131,138,149,158,167,173,168,255,252,199,178,142,121,122,130,151,153,113,177,228,235,227,161,144,230,226,227,227,132,140,150,160,169,174,172,255,255,215,193,153,121,121,127,151,170,176,207,206,234,224,157,149,233,227,228,229,132,139,151,162,168,176,171,255,255,228,198,151,121,116,134,175,204,214,210,180,188,220,151,159,237,228,229,230,132,141,152,162,168,178,171,252,255,231,198,159,127,113,152,203,211,208,200,172,152,168,134,168,239,228,231,232,133,142,154,165,169,179,169,235,255,230,208,174,136,137,167,198,203,195,183,158,137,135,119,185,238,229,233,233,133,144,156,165,171,178,170,219,255,235,212,180,142,141,180,188,190,170,166,145,132,122,165,229,233,233,235,235,133,144,155,164,172,180,171,221,255,238,198,168,143,127,162,168,168,149,146,135,124,176,234,233,235,235,234,236,134,145,156,165,172,182,169,227,255,217,177,149,135,130,145,155,150,136,131,126,192,238,231,233,236,236,236,236,134,145,157,166,173,184,168,235,255,208,173,142,142,145,138,146,135,126,120,192,239,231,234,235,236,237,237,236,134,147,158,167,176,177,195,243,249,220,183,144,151,155,133,133,125,115,187,238,231,235,237,237,238,237,238,237,135,146,158,169,170,199,255,255,229,198,175,152,152,145,125,122,103,167,238,230,234,237,237,238,238,238,238,239,136,146,159,164,183,251,255,255,249,221,163,142,140,136,122,115,113,222,234,231,236,238,239,238,238,240,239,240,135,146,157,164,239,255,255,246,235,231,212,173,137,122,113,101,131,237,228,232,235,237,239,239,240,240,240,240,135,148,150,205,255,247,248,230,226,211,212,203,160,129,123,112,111,204,231,231,233,236,237,238,239,239,239,240
17,180,184,186,188,191,191,194,194,195,196,198,198,200,202,204,204,205,206,206,206,207,209,209,208,209,211,210,211,182,184,187,189,191,191,194,195,197,198,200,201,202,203,206,206,208,210,209,208,209,209,209,210,211,210,211,211,182,184,187,190,192,193,194,196,199,199,201,202,203,204,206,207,210,210,213,213,211,215,211,211,212,212,213,212,182,184,188,192,194,194,195,197,200,201,201,205,207,207,208,210,211,202,174,195,161,183,219,213,214,214,213,214,184,186,188,192,195,196,198,200,202,203,205,206,207,209,210,212,214,216,167,126,121,148,224,213,215,215,214,214,185,187,191,193,195,198,200,201,203,205,207,208,208,209,212,212,211,236,192,126,91,162,225,214,217,217,215,215,186,189,192,195,196,199,201,201,204,205,205,208,209,209,212,214,211,236,204,149,84,175,226,216,217,218,216,216,186,189,191,194,198,200,202,203,204,205,208,210,213,215,212,215,211,237,220,168,103,201,223,218,218,218,216,216,188,192,193,196,197,200,202,205,205,206,207,212,197,187,221,216,212,241,219,170,127,217,221,219,218,220,219,217,190,192,194,197,199,202,203,206,208,209,209,215,203,150,169,222,222,245,212,168,131,218,222,220,220,220,221,219,189,193,195,197,199,201,205,205,205,204,205,225,208,182,151,176,203,236,214,168,128,217,223,222,222,221,221,220,191,194,195,197,201,203,202,211,222,188,150,196,227,221,222,175,119,170,202,172,130,214,224,223,223,223,221,220,191,193,196,201,202,205,201,224,233,188,140,192,202,230,234,206,141,114,168,159,125,208,227,222,224,223,221,222,191,195,198,201,203,204,207,223,192,213,178,175,155,157,241,227,177,111,128,141,116,205,229,224,224,222,221,223,192,195,198,201,203,204,209,234,176,161,159,112,103,89,232,244,203,129,107,120,108,202,230,224,225,224,224,224,193,196,199,201,205,204,218,218,169,146,156,125,120,116,207,255,217,156,106,118,104,193,232,223,225,225,225,224,193,196,200,203,206,202,223,226,200,181,170,142,156,158,183,255,218,174,117,113,107,183,234,224,226,226,227,225,192,196,200,203,207,203,235,216,180,172,164,152,178,185,222,244,218,186,128,106,100,184,236,226,227,227,226,226,194,196,199,204,207,211,237,197,173,163,160,173,175,232,255,220,201,183,127,100,89,183,236,225,229,227,226,227,194,196,201,205,205,216,243,203,183,166,165,175,200,255,252,225,191,170,125,97,90,194,234,225,228,227,226,227,194,198,203,207,204,222,248,208,191,167,168,179,238,255,238,219,183,163,120,99,97,216,229,226,228,228,227,226,195,200,203,207,202,228,249,213,201,178,166,202,255,253,234,210,169,156,117,92,125,235,226,227,229,229,228,226,196,200,205,208,201,237,251,215,208,198,170,214,255,241,229,211,164,142,116,85,174,238,227,229,228,227,227,225,197,202,206,209,202,237,255,221,218,213,185,213,253,229,220,207,167,130,108,101,219,232,228,230,228,228,228,227,199,203,205,208,203,229,255,229,223,216,200,201,243,223,220,197,162,127,95,144,241,226,229,228,228,229,229,228,197,202,205,209,206,219,255,238,221,208,207,201,226,217,220,206,157,125,90,168,242,226,229,228,228,229,229,228,198,202,204,207,211,213,253,233,218,203,201,207,218,206,221,210,157,122,94,193,240,228,230,230,230,230,230,229,199,202,205,208,209,215,251,225,217,202,197,203,216,201,219,199,150,118,114,226,233,230,230,230,230,230,230,229
24,172,174,175,175,176,176,177,178,177,177,177,177,177,177,176,175,173,171,171,172,170,168,167,167,164,163,160,158,176,177,178,179,180,180,180,180,181,181,180,181,180,180,180,180,179,177,175,174,172,172,171,168,167,166,165,162,180,181,182,183,183,182,184,184,184,183,183,183,183,183,183,182,181,180,179,177,176,174,175,176,171,170,168,166,183,184,185,186,187,187,188,187,187,186,186,186,186,187,187,185,183,182,181,180,180,180,157,152,179,172,171,170,186,187,188,188,188,189,189,189,189,188,189,188,188,189,188,188,187,185,184,184,181,186,149,97,178,176,173,171,189,190,190,191,193,191,191,192,192,197,192,190,190,190,190,189,189,188,187,187,182,193,153,92,176,180,176,173,192,193,193,195,196,195,195,197,185,151,194,195,194,195,194,192,191,190,189,188,185,197,144,97,183,182,179,176,194,195,196,196,196,196,196,198,177,104,149,206,196,198,197,196,195,193,192,190,191,201,135,107,190,182,182,179,196,197,198,199,199,198,197,201,178,127,104,204,199,200,200,199,197,196,196,190,199,199,127,120,196,183,183,181,199,200,200,201,202,201,201,203,196,152,89,183,207,199,201,199,197,198,198,197,206,181,102,136,201,187,187,184,201,202,203,203,203,204,203,202,204,171,94,149,215,201,203,205,205,202,197,185,209,173,82,160,200,190,190,187,202,204,205,204,204,204,204,204,207,188,126,109,213,203,206,187,167,198,188,127,117,159,94,191,196,193,191,188,205,205,206,206,206,206,207,206,209,197,149,82,187,214,194,171,143,141,149,127,89,95,111,205,196,196,194,191,205,208,208,209,209,209,209,209,210,204,162,96,142,221,182,184,158,145,131,147,147,60,126,212,195,197,195,193,208,209,210,211,211,211,211,211,210,209,183,143,103,189,167,197,159,148,151,155,137,63,153,211,199,198,197,195,210,211,211,211,213,212,212,211,210,212,198,159,96,133,139,191,181,116,101,134,155,87,126,215,200,201,198,197,211,212,212,213,213,214,213,213,215,216,205,177,159,129,119,154,180,105,39,124,175,115,80,203,203,201,200,198,212,214,215,215,215,215,215,215,215,218,206,204,178,116,79,127,158,86,47,104,184,161,81,135,216,200,202,201,215,217,217,217,217,218,218,217,217,219,211,201,156,114,90,129,145,87,64,181,197,179,103,87,212,203,203,202,217,218,218,219,219,219,219,219,220,220,218,200,179,166,120,125,161,102,140,212,191,160,86,98,215,204,204,202,218,219,219,219,220,222,221,221,221,222,222,201,195,183,127,122,120,131,213,205,171,147,66,122,222,204,205,204,217,219,219,219,220,221,221,221,220,222,223,197,194,195,153,125,101,195,216,197,164,136,64,148,222,204,206,205,218,218,219,220,221,220,220,221,222,222,222,204,187,185,168,138,109,195,205,186,157,122,61,170,217,204,205,204,219,219,220,221,221,221,222,223,224,221,225,205,180,179,176,159,116,177,209,179,141,100,63,193,213,206,205,204,220,220,220,221,221,223,223,223,224,224,226,215,183,184,177,177,128,156,202,168,126,73,85,218,209,209,207,204,220,220,220,222,223,224,224,222,223,225,224,225,194,189,177,181,130,120,177,135,99,45,126,226,208,210,207,207,214,217,220,222,224,226,227,227,230,232,230,234,204,192,180,167,134,110,137,122,80,45,184,221,211,213,214,198,128,132,136,140,144,149,156,159,163,168,172,175,193,197,172,157,148,119,123,130,61,87,212,203,204,192,141,84
21,122,124,129,135,139,143,146,150,152,153,156,157,158,158,158,158,159,157,156,156,155,154,153,151,150,150,147,146,123,125,130,136,142,145,148,151,152,155,158,159,159,160,158,160,157,158,161,157,156,156,155,153,152,152,150,148,126,128,132,138,144,147,150,152,155,158,159,161,161,161,163,160,173,150,137,163,158,157,158,156,153,153,152,149,127,129,134,140,145,148,151,154,156,159,161,163,163,164,165,158,194,155,103,167,158,159,158,157,157,155,153,152,128,131,136,142,147,150,154,157,158,160,162,164,165,165,165,159,196,152,99,164,160,160,159,159,152,155,155,154,129,132,137,143,149,152,153,157,159,161,163,166,167,165,166,161,203,152,98,163,162,162,160,183,125,134,161,155,131,134,139,145,150,153,156,158,160,163,165,166,166,166,167,164,210,159,105,162,165,162,168,188,103,133,162,156,132,135,142,148,152,155,159,159,162,165,167,168,167,168,169,165,215,160,112,163,168,159,182,175,98,146,162,157,132,135,142,148,151,156,158,161,165,167,168,170,170,170,169,168,216,154,115,163,169,163,197,157,103,155,161,158,134,136,143,149,153,157,161,164,165,168,169,171,171,170,167,177,226,158,116,161,169,171,209,148,113,165,161,160,135,138,145,150,155,159,162,166,166,168,171,173,169,187,181,162,214,176,122,163,166,189,207,134,125,170,163,162,136,139,145,152,156,161,164,166,168,170,172,171,176,232,201,146,127,163,125,167,169,213,192,117,136,172,164,163,138,140,148,154,157,162,166,167,170,171,178,202,166,198,221,162,93,109,128,168,187,216,169,106,153,170,165,165,138,141,149,156,161,165,168,170,173,167,206,235,178,136,209,160,92,84,125,171,197,198,143,115,171,167,166,165,139,144,150,157,162,166,169,172,175,173,221,242,209,124,163,171,98,75,101,146,173,177,121,138,176,168,167,167,140,145,151,158,164,167,171,173,175,182,219,206,217,118,133,203,144,87,77,107,135,139,111,167,174,170,169,167,141,146,154,160,164,168,172,176,175,189,228,196,203,151,108,204,190,125,75,94,124,106,119,181,172,172,171,169,142,146,156,161,165,169,172,177,173,209,237,192,176,170,97,161,198,161,100,72,104,91,129,183,174,174,173,170,143,147,155,162,167,171,174,180,174,222,222,169,145,127,113,122,190,191,146,82,81,84,143,183,176,175,174,172,144,148,156,164,169,172,175,181,177,227,223,169,136,138,146,150,187,216,180,120,78,84,165,183,178,177,175,174,144,150,157,164,169,173,178,181,179,230,223,168,134,153,160,205,210,215,203,154,95,96,183,181,179,181,178,175,143,149,158,165,170,174,178,182,182,231,223,171,139,165,177,227,218,208,195,172,119,109,189,182,182,181,179,176,142,148,158,164,169,174,179,182,182,231,226,167,154,166,192,236,225,209,176,155,119,112,190,182,181,180,179,177,143,149,158,165,171,174,179,184,182,230,228,165,179,162,211,243,226,202,177,128,96,119,191,183,182,181,180,178,143,150,159,166,172,176,180,186,184,225,224,181,198,162,216,245,222,198,170,120,87,141,194,184,184,182,180,178,144,150,159,165,171,176,180,186,182,216,224,204,204,160,209,240,210,186,150,114,92,168,191,185,184,182,180,178,142,150,159,167,173,177,182,187,186,208,230,216,201,159,198,226,187,162,130,101,110,194,190,189,188,186,185,180,137,142,147,150,154,156,159,163,161,177,229,211,193,155,175,209,168,139,119,98,116,162,157,156,154,154,151,160
6,141,147,151,153,156,160,164,166,170,173,175,176,179,181,183,185,186,187,189,190,190,190,190,191,192,192,191,191,143,147,150,152,155,161,165,167,170,173,176,177,179,182,183,185,186,188,189,191,191,191,192,192,192,192,192,192,142,148,151,152,155,161,166,169,170,174,177,179,182,182,184,185,188,189,190,190,191,192,194,193,192,192,192,192,143,149,152,153,158,162,166,170,172,175,178,180,182,184,184,186,190,192,192,192,193,194,195,195,193,193,193,193,144,151,151,154,157,162,165,169,173,176,178,180,183,184,186,187,190,192,192,192,195,194,195,197,196,196,198,198,145,150,152,155,157,162,166,170,173,177,178,181,183,184,185,187,188,189,189,190,187,190,191,192,191,189,185,187,145,150,154,155,157,162,168,170,173,174,183,188,185,188,192,194,194,199,198,193,196,201,210,200,191,186,167,166,144,148,151,152,156,161,165,167,178,198,208,203,189,181,195,207,212,213,208,195,198,207,211,208,201,189,176,175,143,148,151,153,154,158,171,191,208,210,208,199,184,154,150,176,181,180,178,173,176,167,160,162,160,152,148,154,145,153,152,149,163,187,211,211,203,201,205,208,191,147,114,116,116,122,134,135,138,152,167,173,174,177,179,184,144,147,157,182,203,213,208,202,203,209,211,198,165,143,117,110,107,99,124,172,188,196,200,199,201,202,199,199,149,179,206,214,209,209,203,205,210,207,194,173,147,132,120,118,124,118,115,152,178,198,196,198,197,197,196,196,207,214,211,210,208,210,210,207,206,206,204,201,170,127,116,105,117,130,122,112,95,163,206,197,200,198,197,198,214,212,213,212,208,205,206,204,205,208,215,210,165,128,121,115,107,118,130,135,115,95,173,204,197,199,198,198,218,216,214,208,207,206,208,201,203,213,215,182,149,133,126,128,130,116,104,113,122,105,120,204,197,198,197,197,218,215,209,202,199,196,197,194,199,207,199,170,144,129,130,134,136,128,107,102,101,107,132,200,197,197,196,196,213,210,203,197,198,196,195,192,193,198,197,181,144,116,98,120,138,163,128,114,101,104,124,139,136,136,136,135,210,210,210,204,200,201,202,200,198,203,201,180,136,122,111,107,109,127,135,128,112,112,107,104,105,106,105,103,214,214,208,202,201,199,199,196,200,206,196,166,130,126,131,130,122,110,114,117,122,116,112,114,114,113,114,113,208,205,200,196,197,190,185,182,190,193,179,158,138,136,134,129,121,114,109,107,119,120,117,114,112,111,111,111,196,193,193,188,181,179,170,172,183,177,163,149,138,132,136,134,125,116,115,118,116,118,118,114,114,112,111,111,176,180,173,171,164,165,162,160,159,150,135,125,122,115,115,121,122,121,120,118,114,116,115,113,114,112,110,110,140,141,146,145,148,141,133,126,121,119,117,117,117,117,113,112,114,118,117,115,116,116,116,113,115,112,111,111,128,117,116,117,112,112,116,116,114,118,119,120,118,118,119,118,117,117,117,117,115,114,115,114,115,113,112,112,117,114,106,100,108,116,118,120,120,120,120,119,119,119,118,117,117,118,118,117,115,113,114,113,113,112,111,112,107,97,94,100,112,120,119,119,120,120,119,118,118,119,119,117,117,117,117,116,115,114,113,113,114,113,112,111,129,121,108,105,110,119,120,120,119,118,118,118,118,118,117,116,117,117,116,116,115,114,113,113,113,111,112,112,137,118,109,106,110,118,120,120,118,118,118,118,117,118,117,116,116,116,116,116,115,114,114,112,113,111,112,112
6,168,170,172,174,176,177,178,178,179,179,179,178,177,178,178,177,177,176,176,176,175,173,173,173,172,171,170,168,168,171,173,175,176,178,178,179,180,181,182,181,180,180,179,178,179,178,178,177,176,175,176,176,174,173,171,170,169,172,175,177,178,179,181,181,181,182,182,182,183,182,181,180,180,179,178,178,177,177,177,177,176,175,174,172,170,173,175,177,179,180,182,183,183,183,183,183,184,184,184,184,183,182,182,180,180,178,175,177,179,177,176,175,172,175,177,179,181,182,183,184,184,184,185,185,184,180,172,170,170,172,167,169,160,159,187,161,161,182,177,176,174,177,179,181,183,184,186,186,184,185,184,182,179,171,157,155,166,177,168,170,158,156,192,145,138,185,177,177,176,178,180,182,184,185,186,186,187,190,196,195,193,182,169,161,163,165,160,154,154,138,136,131,167,183,180,179,176,178,181,183,183,184,184,189,199,200,196,182,169,151,139,121,117,121,131,136,140,150,162,178,184,182,182,179,176,178,181,181,193,200,185,186,185,179,166,158,151,138,134,124,114,161,175,181,185,189,189,187,183,184,183,181,176,179,183,180,211,201,178,174,170,177,184,182,170,162,162,165,120,152,197,187,188,187,186,186,186,184,184,183,176,179,182,185,202,174,166,172,178,186,191,188,179,172,162,147,110,118,195,189,190,188,188,188,186,184,184,184,177,181,180,199,207,172,166,168,174,180,183,184,174,158,154,136,97,100,182,193,189,189,189,188,186,186,185,184,179,183,181,204,186,173,177,172,174,176,183,186,171,149,155,149,98,88,158,198,188,189,189,189,188,189,186,184,180,183,182,199,189,191,185,184,185,192,196,185,171,164,160,137,105,90,145,199,189,190,190,189,189,188,187,186,180,183,184,194,213,210,182,181,182,182,179,174,165,155,138,113,105,97,134,199,190,191,191,190,190,190,187,186,182,185,184,193,220,211,185,176,166,147,145,155,153,152,149,103,97,102,150,199,191,192,191,191,190,189,189,187,182,185,183,197,210,204,192,174,160,163,179,180,165,157,166,121,86,124,194,193,192,192,192,192,191,191,189,187,182,186,183,199,203,206,202,176,171,184,190,172,159,151,142,120,98,149,201,192,193,192,193,192,191,191,190,189,183,187,184,199,206,199,196,179,174,180,178,168,154,141,122,109,105,169,200,194,194,193,194,194,192,192,190,189,183,187,184,198,206,199,192,181,174,173,159,148,129,113,107,102,122,190,197,196,195,194,194,194,192,192,190,189,183,187,183,193,202,203,189,174,162,151,129,111,89,83,94,134,187,199,196,196,196,197,195,194,192,192,191,190,183,186,182,189,199,190,170,158,148,128,108,93,81,95,119,191,202,196,196,197,197,196,195,195,193,191,190,190,182,186,182,183,194,173,159,156,150,119,105,103,89,102,163,200,195,197,196,195,194,193,193,194,193,191,190,188,182,187,178,176,188,163,162,163,137,113,108,110,96,144,200,197,197,197,197,195,194,194,193,193,192,191,189,188,182,186,176,172,183,157,168,162,131,113,106,112,136,196,199,197,198,197,197,196,194,193,193,193,192,191,190,189,183,188,173,174,178,161,170,159,131,111,107,114,179,202,196,198,199,197,196,196,195,195,194,193,192,191,191,189,181,188,166,180,180,159,165,147,120,107,111,122,189,199,197,198,198,197,195,195,196,195,195,194,193,191,190,189,180,184,162,188,174,154,151,129,112,107,111,137,199,196,196,194,195,194,193,194,194,192,193,192,192,191,191,188
6,130,138,143,146,150,155,160,164,168,173,175,177,180,183,185,188,190,191,193,195,195,195,195,197,197,197,196,197,132,138,142,145,149,156,161,164,168,173,176,178,181,184,186,189,190,192,193,196,196,197,197,198,197,197,197,197,132,139,143,144,149,157,163,167,169,174,177,181,184,185,186,188,193,194,195,195,196,198,200,199,198,198,197,197,133,140,144,146,152,158,164,168,171,176,178,181,184,186,187,190,194,197,198,197,199,200,202,201,199,200,199,199,134,143,144,148,151,157,162,167,172,177,179,182,186,187,189,192,195,198,198,198,201,201,202,204,203,202,205,205,135,142,145,149,152,158,164,168,173,178,179,183,186,187,189,191,192,193,194,195,192,195,196,197,197,194,188,191,135,142,147,149,151,157,165,168,172,174,186,192,188,193,197,200,201,208,206,199,203,209,221,209,197,189,164,163,133,140,144,145,150,156,162,164,180,206,219,213,193,183,202,217,224,225,219,201,205,217,223,219,209,194,176,175,132,140,143,146,148,152,170,196,219,222,219,207,188,148,141,176,183,182,178,173,176,165,155,157,155,145,139,147,136,146,144,141,158,190,223,223,212,210,215,219,196,138,94,96,97,105,121,121,125,144,164,172,174,178,181,187,134,138,151,184,212,226,218,211,213,220,222,205,162,132,98,88,84,74,108,172,193,203,208,207,209,210,208,207,141,181,216,227,221,220,213,215,221,218,201,172,138,118,102,99,108,99,95,144,180,205,203,205,205,204,202,204,218,228,223,221,218,222,222,218,217,216,213,210,168,112,97,82,97,115,105,91,68,159,217,205,208,205,204,205,227,224,225,224,219,215,217,213,215,219,229,222,161,112,103,96,85,99,116,122,95,69,172,213,205,207,206,206,232,230,227,218,218,216,218,210,213,226,228,185,141,119,110,113,115,97,80,93,104,82,103,214,204,206,205,204,233,228,220,210,207,204,204,201,207,217,207,168,133,114,116,120,123,113,85,78,77,85,117,208,204,204,203,202,225,222,213,205,206,202,202,197,200,206,204,182,134,97,72,103,125,159,113,94,77,81,108,127,124,124,123,121,222,222,222,214,208,209,211,209,205,213,210,181,123,104,90,85,87,111,122,113,91,92,85,81,81,83,82,79,226,226,218,211,209,207,207,204,209,217,202,163,115,110,117,115,104,89,94,98,104,96,91,94,94,93,93,93,219,215,208,203,204,194,188,185,195,198,180,152,126,123,120,114,104,94,88,85,100,101,97,93,92,90,90,90,203,199,199,192,183,180,168,171,185,178,159,140,126,118,123,121,108,96,95,100,97,99,99,94,94,92,90,90,176,181,172,170,161,162,158,155,154,141,122,108,105,95,95,103,104,104,102,99,94,97,95,92,94,91,89,89,128,130,136,136,139,130,120,110,103,100,99,98,98,97,93,91,94,100,98,95,96,97,96,93,96,91,90,90,113,98,97,98,91,92,96,96,94,99,101,101,100,100,101,99,99,98,98,98,95,93,95,94,96,93,91,91,97,93,83,75,86,97,99,101,101,102,102,101,100,100,99,98,98,99,99,97,95,92,94,93,92,91,90,91,84,71,67,75,91,102,101,100,102,103,100,100,99,100,100,98,98,99,98,97,96,95,92,93,94,92,91,90,114,103,87,82,89,100,101,102,100,100,100,100,99,99,99,97,97,97,97,97,96,94,92,93,93,90,91,91,125,99,87,84,88,99,102,101,100,100,100,99,98,99,98,97,97,97,97,97,96,93,94,92,92,90,91,92
13,183,187,189,189,191,193,195,196,196,197,198,198,199,198,198,198,198,196,196,196,194,193,192,192,192,189,189,187,185,187,188,190,192,194,195,196,197,198,199,200,200,200,200,200,199,199,199,197,196,195,195,194,193,192,190,188,186,188,191,192,193,195,197,197,199,201,201,201,201,201,200,201,201,201,201,200,198,198,197,196,195,193,193,191,187,190,192,192,193,195,198,200,201,202,202,203,204,204,203,201,202,204,203,201,200,200,199,198,196,196,194,193,187,190,192,193,195,197,199,201,201,202,202,205,206,199,201,207,203,200,204,205,200,201,200,199,198,197,195,193,188,191,193,193,196,198,200,201,203,204,204,206,196,166,142,188,199,161,139,181,208,201,201,200,200,198,197,195,189,192,194,194,197,199,201,202,203,205,204,209,204,175,148,130,166,161,120,118,208,203,203,202,201,200,198,196,190,193,194,195,198,201,202,203,204,206,207,209,219,185,166,116,139,169,138,98,188,209,205,204,203,201,199,197,191,194,195,196,199,201,203,205,205,207,208,207,215,189,157,116,120,160,136,92,175,213,204,205,204,203,201,200,191,194,196,197,199,201,203,206,207,208,212,213,208,188,153,121,105,135,122,88,172,213,204,205,204,202,201,200,192,196,197,198,200,203,205,207,208,204,179,191,190,185,155,131,104,136,128,91,187,213,206,206,205,203,202,201,192,195,197,199,201,205,207,207,210,189,143,128,134,172,189,153,113,141,143,94,186,216,207,207,207,205,203,202,193,196,198,200,201,204,208,208,219,185,149,139,112,157,209,165,114,125,136,89,134,219,207,207,207,206,204,204,193,197,199,200,203,204,206,195,163,177,166,155,121,94,163,136,107,118,115,107,100,186,217,207,207,207,205,204,193,197,199,201,203,201,212,183,132,133,180,158,142,89,69,79,93,123,122,127,116,128,218,209,208,207,206,206,194,198,200,201,202,214,215,167,147,127,158,165,142,120,70,89,104,110,147,146,136,101,190,216,208,208,207,206,194,197,201,202,205,216,182,173,161,147,126,162,148,131,85,90,145,153,157,147,136,99,171,219,208,209,207,206,194,198,201,203,205,221,182,161,159,144,125,139,142,113,87,93,167,181,176,139,125,99,184,219,208,208,207,206,195,199,201,203,208,213,182,144,136,135,114,91,116,106,97,110,181,178,171,146,115,102,206,215,211,209,208,207,196,199,202,203,207,208,199,177,141,113,93,77,105,126,111,153,198,175,164,141,101,121,221,212,213,211,209,207,196,200,202,202,204,208,206,188,161,141,128,124,126,135,143,200,194,168,150,137,94,148,226,213,213,211,210,208,197,201,202,203,206,206,201,193,174,159,139,137,152,186,197,198,181,161,143,129,91,176,224,213,214,212,210,208,198,201,201,205,206,208,198,183,170,153,137,139,148,198,195,184,170,152,136,116,94,202,220,214,214,212,211,208,198,202,202,204,207,210,192,174,171,155,143,145,145,183,190,181,161,142,127,104,108,221,216,215,214,212,211,210,199,202,203,205,207,212,202,179,171,158,152,148,147,179,186,176,155,130,120,84,150,228,215,215,214,213,211,210,198,201,201,204,206,210,214,186,170,167,155,142,139,163,175,163,140,118,101,93,208,220,216,215,214,212,211,210,197,201,202,204,206,209,213,208,179,165,150,142,136,149,163,153,130,116,84,146,229,216,217,215,213,212,212,212,196,199,201,203,206,209,210,213,196,168,151,140,139,143,156,151,129,114,88,190,223,215,215,214,213,212,210,209
8,181,183,184,185,186,187,188,189,189,189,188,188,189,189,190,189,188,188,186,184,182,179,178,177,175,175,172,170,185,186,186,187,189,190,192,192,192,192,190,192,192,191,192,191,190,188,187,186,184,182,181,180,177,176,174,172,186,189,189,190,193,193,194,194,194,199,208,166,193,194,194,194,193,192,190,188,188,185,184,182,181,179,177,175,189,190,191,192,195,195,196,197,191,214,218,134,194,198,196,196,195,193,192,191,191,189,187,184,183,182,180,178,190,191,193,194,196,197,197,201,191,225,213,134,201,196,201,201,195,197,194,192,193,189,189,189,185,185,183,181,193,195,197,198,199,199,199,203,194,233,221,143,206,218,187,192,210,188,189,197,192,200,187,179,191,186,185,184,197,198,200,201,200,202,201,204,196,241,217,140,231,252,184,157,237,184,148,198,182,216,184,148,197,188,188,185,198,200,201,201,202,202,202,205,196,243,220,142,250,255,203,149,225,197,132,193,185,204,194,134,196,192,189,186,199,201,202,203,204,205,205,208,201,241,241,185,253,255,214,146,214,204,120,195,186,168,208,144,163,196,190,188,201,202,203,205,207,208,208,209,204,246,236,239,244,251,218,138,196,198,117,203,176,120,189,184,131,169,198,189,202,203,205,207,208,208,209,206,214,250,234,237,241,234,207,129,197,186,121,201,152,111,172,207,128,164,200,191,203,204,206,209,210,211,212,204,230,251,207,211,208,219,223,134,192,179,106,163,140,116,200,216,133,184,199,195,204,207,209,210,211,213,212,206,240,255,187,179,174,183,228,131,195,184,90,167,124,141,230,197,134,199,199,195,207,209,210,211,212,212,215,209,246,255,206,158,167,171,179,168,200,169,121,176,133,202,228,161,140,209,200,202,209,211,212,213,214,214,217,213,249,255,216,170,145,166,187,216,187,182,209,214,208,204,192,137,156,203,192,166,208,210,212,213,214,215,219,213,249,255,226,187,149,161,199,213,222,244,251,235,204,170,151,123,114,115,103,86,208,210,212,213,213,215,217,212,247,255,235,206,165,156,201,236,255,254,239,222,189,151,124,104,102,97,89,85,209,210,212,215,216,217,218,212,245,255,249,223,193,173,206,246,255,244,228,202,167,132,108,99,97,88,87,86,211,213,212,217,219,217,220,215,237,255,255,233,211,183,208,248,249,232,209,176,138,109,94,86,65,54,39,25,212,215,216,216,219,218,221,218,226,255,255,238,210,188,202,240,235,211,187,146,111,90,79,70,55,41,37,21,211,214,216,215,218,220,222,224,228,255,252,228,203,186,199,219,209,184,162,119,93,88,80,63,43,30,32,26,217,220,221,221,223,223,233,188,181,255,213,206,187,176,197,200,179,154,123,89,79,81,84,79,51,25,21,24,184,188,190,192,196,197,217,109,84,250,207,204,185,184,190,181,153,122,87,53,60,72,67,80,74,37,16,17,106,105,102,104,104,105,119,107,38,152,215,204,194,183,171,161,128,95,36,18,34,58,53,65,83,56,23,11,105,104,108,107,106,104,108,122,100,100,158,182,181,162,146,129,97,58,0,0,31,47,45,49,75,69,35,12,110,109,113,113,114,112,119,119,96,103,101,111,134,134,113,109,70,14,0,25,64,68,31,39,62,74,51,20,114,110,113,113,114,113,122,120,95,94,92,83,79,82,83,83,51,0,7,55,78,68,22,31,50,71,61,34,114,110,113,116,117,116,126,116,99,96,92,87,74,64,59,54,48,36,37,38,39,27,8,20,40,60,66,44
12,134,149,162,170,173,181,189,197,200,204,208,213,218,222,225,228,231,232,235,237,239,240,240,242,243,245,246,246,138,152,165,171,175,184,193,199,203,206,211,215,220,225,229,231,234,242,242,239,240,244,245,245,247,248,247,248,140,155,169,173,177,187,196,202,205,209,214,218,223,227,229,234,235,215,226,248,242,244,248,254,247,249,250,249,142,158,171,174,179,189,197,204,207,212,217,222,226,232,237,243,248,173,137,216,255,213,166,218,255,249,252,251,145,160,172,177,181,192,199,205,210,215,219,224,230,217,192,254,255,185,140,132,195,204,145,125,236,255,253,254,146,162,174,178,184,194,202,207,213,217,221,223,254,206,140,151,245,214,169,125,128,206,173,118,178,255,253,255,149,164,176,181,187,196,203,209,215,221,220,239,255,208,165,120,210,247,184,150,120,192,191,139,153,255,255,255,151,166,178,183,189,198,205,211,217,221,225,255,250,237,192,158,170,255,209,156,111,159,191,148,138,255,255,255,154,169,180,184,191,201,207,213,220,220,239,241,214,255,223,177,133,225,234,161,113,121,171,144,122,255,255,255,156,172,182,185,193,204,209,215,218,220,255,202,192,253,236,177,131,172,236,158,116,101,156,130,114,255,255,255,158,174,183,188,195,204,211,214,202,195,225,194,177,221,231,188,142,124,207,153,116,97,138,125,118,255,255,255,160,175,184,187,195,202,223,240,226,221,217,184,131,114,214,185,129,93,175,159,118,95,130,127,126,255,255,255,162,176,185,188,197,202,234,255,254,255,244,157,117,64,159,156,111,79,136,178,155,101,145,145,144,255,255,255,164,179,185,190,200,201,243,255,216,218,201,130,117,72,104,140,122,67,101,216,179,114,150,166,110,242,255,255,166,180,186,191,201,204,238,240,199,171,194,156,125,83,68,140,132,83,131,209,187,122,124,155,89,190,255,255,168,181,188,193,201,208,229,212,177,136,170,191,121,97,66,107,110,132,203,200,177,120,107,122,101,216,255,255,167,181,188,192,202,207,227,235,202,162,139,191,126,107,85,92,134,194,216,204,182,153,129,114,132,255,255,255,168,181,186,190,200,207,232,237,202,171,143,165,137,108,91,103,180,212,215,214,201,169,138,101,196,255,255,247,170,182,187,190,202,207,233,233,216,202,151,133,154,136,114,124,219,222,220,227,195,159,128,120,255,243,229,187,170,182,188,192,203,210,231,232,226,210,146,146,180,160,128,146,233,230,237,219,170,148,118,155,255,152,159,226,170,182,188,194,203,211,225,225,219,215,147,163,179,153,158,209,241,240,231,192,151,135,117,150,152,170,139,157,170,182,187,193,202,211,219,214,219,208,159,170,181,157,197,221,243,233,209,168,135,120,137,200,149,186,150,141,170,182,186,193,204,213,222,221,226,204,166,175,181,156,198,206,228,219,192,151,127,107,173,237,164,129,191,240,144,150,153,157,162,167,170,193,219,201,177,181,176,158,189,208,207,199,164,131,111,142,155,161,163,150,200,187,140,141,140,142,144,143,137,153,221,203,183,179,171,164,173,198,190,158,133,116,114,157,230,189,180,188,153,180,145,144,147,149,150,151,154,149,217,225,195,176,172,170,168,185,174,136,117,119,203,225,255,252,253,211,184,237,145,145,146,147,149,149,151,147,200,211,191,171,163,157,159,170,154,128,100,152,255,245,216,219,227,194,157,170,144,146,147,150,151,150,152,149,204,208,154,140,140,142,151,151,131,116,94,141,255,227,225,243,255,235,178,149
14,188,189,191,193,193,193,195,195,196,196,197,196,196,196,195,194,194,193,193,193,191,191,191,189,189,188,187,187,189,191,193,194,194,195,197,198,197,198,198,197,199,198,198,198,196,195,195,195,194,194,192,191,190,190,190,189,192,193,194,196,197,198,198,199,199,200,200,199,201,201,199,200,198,198,197,196,196,194,193,194,192,193,192,191,192,193,195,198,198,199,201,201,201,201,201,202,200,200,201,202,202,199,198,199,198,197,196,195,194,193,193,192,193,195,197,198,199,201,203,203,203,203,203,203,212,194,187,195,194,203,201,199,199,199,198,196,195,195,194,194,194,196,199,200,201,202,203,204,204,204,207,218,212,197,185,182,171,179,202,202,201,200,200,199,198,197,196,196,196,198,200,202,203,203,204,205,207,207,220,218,213,200,203,191,168,144,153,210,202,203,202,200,199,198,198,197,199,200,201,203,205,205,204,207,206,216,222,219,202,134,185,186,179,149,105,164,211,202,203,201,200,200,199,198,199,201,202,204,205,207,206,208,212,226,196,159,150,118,114,125,190,183,111,119,203,205,204,203,202,201,200,200,200,202,204,206,208,210,209,222,233,221,182,139,107,104,97,82,169,206,153,113,190,210,205,204,203,202,202,202,203,205,205,207,210,208,217,234,221,189,164,145,117,88,104,86,121,168,151,113,166,215,205,206,204,204,203,203,204,205,206,209,209,208,233,229,208,165,122,120,111,98,89,114,197,181,183,144,145,216,206,208,206,205,204,204,203,205,207,210,206,230,238,220,207,164,124,99,101,89,131,207,215,208,189,127,144,217,208,209,207,207,206,205,205,207,211,205,224,242,225,219,191,152,133,104,90,114,215,220,210,195,180,120,134,220,209,211,210,209,208,207,206,209,208,215,245,235,226,213,186,162,129,90,80,143,205,220,214,184,172,126,105,193,217,211,212,210,209,208,209,212,207,237,246,234,221,205,184,150,117,90,102,106,111,202,195,168,165,139,113,159,224,212,213,211,211,209,210,209,220,249,241,229,216,202,166,133,104,108,127,128,125,131,153,177,168,136,114,190,220,214,214,212,212,211,209,209,239,244,233,223,208,189,151,132,108,131,140,143,147,134,145,170,158,113,171,224,215,216,214,214,214,212,211,224,249,236,227,213,203,180,152,132,123,141,144,147,141,146,141,163,124,150,224,215,217,216,215,215,214,213,191,247,247,230,216,209,194,177,158,129,129,144,144,142,132,148,136,116,141,223,220,218,219,217,216,216,215,214,118,179,236,222,199,188,175,164,134,123,128,135,141,135,131,132,102,129,217,223,219,220,220,219,217,216,216,215,120,110,142,185,195,167,140,115,106,117,118,124,132,125,113,131,175,222,226,220,221,220,220,220,219,217,216,215,113,116,109,117,128,123,112,102,102,106,106,104,105,110,156,222,233,224,223,223,221,221,221,220,219,219,217,216,111,109,112,112,79,78,87,84,82,84,78,111,155,193,232,227,225,225,224,224,224,222,221,221,220,220,218,217,109,109,105,113,103,66,79,77,74,74,68,92,219,237,225,227,227,226,225,225,225,223,223,221,221,220,219,218,107,105,104,108,107,67,71,75,74,73,70,78,212,232,227,228,228,228,226,226,225,224,224,222,221,221,220,219,99,102,99,105,107,64,69,72,71,74,61,134,244,227,230,229,229,228,227,227,226,225,225,224,223,221,220,220,108,133,92,109,93,60,70,69,69,71,59,176,242,227,230,230,229,228,227,227,227,225,225,225,224,222,222,221
6,179,180,180,182,182,183,184,183,184,184,186,185,184,184,182,181,182,182,181,180,180,179,179,177,175,176,174,173,180,181,182,183,184,185,186,186,186,186,187,186,186,186,183,182,183,183,182,182,180,180,180,179,177,176,177,176,181,184,184,185,186,186,187,187,187,187,187,187,187,187,185,184,184,183,183,183,182,182,181,180,179,178,177,177,182,184,186,185,187,188,187,187,189,188,188,188,187,187,186,186,186,185,184,184,182,183,182,181,180,179,178,177,184,186,187,187,188,190,190,191,191,190,190,189,188,188,187,187,186,187,187,185,184,183,181,175,177,185,177,176,185,186,187,188,189,190,191,191,192,191,190,190,190,190,188,188,188,187,186,183,180,172,167,152,180,200,164,169,186,187,188,190,192,192,192,192,192,192,192,193,191,189,185,181,173,166,169,174,169,161,157,145,159,171,144,169,188,189,190,192,194,196,195,194,193,192,187,185,183,179,169,159,141,143,151,164,154,142,125,116,117,134,160,180,189,191,192,194,195,197,197,196,194,186,164,159,148,151,162,155,142,122,127,128,115,104,107,125,148,171,182,182,191,193,194,195,196,198,198,194,189,180,169,163,133,99,115,114,102,87,98,108,129,148,172,184,186,186,184,183,193,195,196,198,199,197,193,179,179,181,181,166,120,78,65,64,75,99,140,175,189,191,189,189,189,187,185,185,196,197,198,199,196,190,185,176,171,176,179,154,108,74,63,71,140,176,193,196,195,193,192,191,189,188,187,186,197,197,196,194,189,184,179,173,165,171,171,161,137,88,65,73,162,199,195,196,196,195,195,193,190,188,188,188,197,196,194,190,184,176,174,171,166,168,172,172,153,101,68,66,90,187,198,197,196,196,195,193,192,190,190,189,194,195,196,188,180,174,173,173,169,170,172,169,153,111,70,66,65,133,201,200,198,197,195,194,194,192,192,191,203,204,198,188,180,175,172,173,171,167,170,171,164,132,77,63,65,80,183,202,199,198,197,195,195,194,193,191,210,205,193,185,183,176,172,171,173,173,176,175,165,130,82,64,61,72,180,203,201,200,199,197,196,195,194,193,206,197,188,187,182,175,171,170,169,163,160,156,142,115,86,68,60,118,203,202,201,201,200,199,198,197,195,194,208,194,183,183,173,171,174,168,162,152,145,140,127,105,90,77,62,117,206,204,203,201,201,200,199,199,197,195,209,200,180,168,167,171,174,170,160,149,140,138,123,98,89,88,71,75,188,208,205,203,202,200,199,200,198,196,187,189,169,154,157,165,166,162,150,137,122,114,95,83,84,92,74,77,187,209,207,205,202,201,200,200,199,197,92,133,141,135,143,153,152,142,127,112,99,86,59,67,83,90,83,146,207,209,208,206,204,203,201,202,201,199,46,60,91,107,120,132,129,115,99,89,81,72,64,77,91,107,164,207,210,209,208,207,206,203,202,202,201,200,42,43,45,53,66,85,93,89,107,130,148,125,108,113,146,188,211,212,210,209,208,208,207,205,205,203,202,200,38,39,38,22,18,27,33,55,181,212,215,211,204,206,212,214,214,213,211,210,209,209,209,207,206,204,202,201,34,34,40,30,12,14,12,96,211,217,217,216,215,215,214,214,213,212,211,212,210,209,208,207,206,204,202,201,31,31,37,35,13,13,25,168,219,216,217,216,215,215,214,214,213,212,211,211,210,209,208,207,206,204,203,202,28,28,38,37,14,10,73,209,216,216,216,216,216,216,215,215,214,213,212,212,211,210,209,208,206,205,203,202
0,171,172,174,175,176,177,177,176,175,176,176,175,175,174,174,174,172,172,172,171,170,169,169,167,167,166,165,164,172,173,175,177,177,179,179,178,177,177,177,177,177,176,175,174,173,173,172,172,172,170,170,168,168,166,165,165,173,174,175,177,178,179,180,179,179,178,178,178,178,177,176,176,173,173,173,173,172,171,171,169,168,168,167,167,174,175,177,178,179,181,181,181,180,179,180,179,178,178,177,190,172,154,168,173,172,172,172,171,169,169,167,168,175,177,178,179,179,181,181,182,182,182,180,180,187,178,177,211,179,148,126,157,150,156,171,166,170,170,169,168,177,179,179,180,181,181,182,183,183,182,180,191,206,188,180,216,182,149,121,167,146,115,138,119,155,171,171,170,178,180,181,181,182,183,184,183,185,193,172,200,207,190,177,221,190,144,158,181,139,95,111,96,152,172,172,171,179,181,183,183,184,185,186,183,202,219,191,197,215,188,165,216,191,142,135,163,127,89,116,98,162,173,172,171,181,182,184,185,185,186,186,185,211,234,210,177,222,187,146,186,173,134,103,144,114,107,136,102,158,173,172,173,182,184,184,185,185,187,186,191,205,226,216,162,200,173,128,147,158,129,96,142,110,145,151,109,146,174,173,174,184,185,185,186,186,187,187,198,194,197,187,143,172,157,115,104,158,123,95,147,117,174,162,111,149,176,175,175,183,186,186,187,188,188,187,209,207,183,172,131,148,155,110,86,166,133,98,108,153,188,155,104,159,177,176,175,184,186,187,187,188,190,192,215,184,152,164,141,124,166,118,97,158,177,173,130,166,180,140,102,169,177,177,175,186,187,187,188,188,190,198,224,194,157,139,145,120,159,129,143,190,198,183,159,140,152,129,108,176,179,179,176,186,188,189,190,190,192,202,227,199,169,149,142,170,180,191,201,199,190,168,151,137,119,117,111,178,179,179,177,187,190,192,192,192,192,212,231,207,187,172,160,179,205,214,215,202,184,163,144,128,108,102,118,180,179,179,178,188,191,192,193,193,193,219,231,212,198,182,170,192,216,225,225,205,180,160,139,119,102,97,157,182,181,181,179,189,192,192,193,194,193,221,228,212,195,180,174,196,219,228,224,205,178,153,130,110,98,118,180,184,181,180,180,188,190,192,193,194,193,219,229,214,196,179,172,193,214,218,210,196,172,144,119,103,100,160,184,183,182,181,179,188,189,192,193,194,193,207,225,211,196,184,175,194,206,201,188,170,153,132,113,104,149,183,184,183,182,181,179,188,190,193,193,195,195,202,215,200,198,190,177,192,200,188,166,147,137,120,111,154,184,186,185,184,183,182,179,192,192,194,194,196,196,203,216,202,199,188,177,186,195,177,148,130,122,111,155,185,187,188,186,184,183,182,180,191,192,193,195,196,197,205,229,216,196,180,178,177,183,160,129,118,108,149,187,189,188,188,187,185,184,183,180,191,192,194,194,199,195,191,234,222,195,180,180,167,170,142,115,106,132,186,190,190,189,188,187,186,185,183,180,190,192,194,195,211,242,182,196,211,191,182,174,162,161,126,102,95,169,190,190,189,187,186,187,185,179,170,161,189,190,191,192,219,250,237,147,219,214,201,188,169,156,126,103,97,177,188,189,187,186,190,189,173,151,160,155,147,148,146,147,232,250,247,149,157,215,207,193,170,153,134,121,112,126,134,134,140,175,195,181,166,122,171,161,105,103,102,135,247,251,248,169,118,210,200,183,163,147,131,118,113,107,95,112,176,199,188,164,170,112,151,173
12,178,181,184,187,189,190,192,195,197,199,200,200,201,202,203,204,204,204,205,204,204,207,206,205,206,207,207,206,180,182,185,188,190,193,195,197,199,201,202,203,204,204,206,206,205,206,207,205,206,208,206,206,207,209,209,209,182,185,188,190,193,196,197,199,201,204,204,205,206,206,205,207,208,208,209,207,208,210,207,208,211,210,210,211,183,187,189,191,194,197,200,201,204,205,205,205,211,214,212,209,211,212,215,216,210,211,212,212,213,213,212,212,185,188,190,194,196,197,201,203,205,207,207,209,204,187,195,214,213,199,174,189,216,211,214,214,213,213,214,214,187,190,193,195,197,199,203,206,207,209,207,224,212,180,145,195,231,206,169,114,209,218,214,223,216,215,215,215,189,191,195,198,200,202,205,207,208,210,208,248,238,210,166,138,235,206,178,132,148,167,160,171,222,217,217,217,190,193,196,198,202,205,206,209,210,211,215,247,251,220,180,131,231,219,181,153,83,147,159,109,173,229,218,220,193,195,197,201,203,205,208,211,213,212,223,236,253,239,198,147,218,231,179,136,84,174,170,106,112,231,218,222,195,197,199,203,204,206,209,212,213,211,224,185,163,228,207,141,193,217,161,116,87,182,172,104,101,225,222,222,196,198,201,204,205,209,211,213,211,234,229,161,113,158,191,123,176,192,155,125,86,170,168,114,99,225,225,225,197,200,202,205,208,211,214,212,232,239,220,169,139,114,171,116,161,191,148,117,88,174,162,117,103,228,224,226,198,200,204,206,209,211,213,222,232,206,225,189,153,100,129,118,142,187,154,108,100,194,180,121,110,236,227,227,199,202,205,208,210,213,212,229,213,170,214,187,147,102,96,147,137,206,183,119,130,247,212,125,148,241,226,228,200,203,205,209,212,214,217,232,221,177,181,184,151,101,79,151,123,181,174,110,105,210,169,88,134,241,228,228,201,203,206,210,213,213,220,227,207,165,163,195,137,106,52,84,65,75,164,121,143,177,124,114,92,176,240,226,202,204,207,211,215,215,223,237,209,174,154,187,124,106,61,51,52,140,216,214,206,193,163,134,102,126,241,227,203,205,209,212,215,216,228,236,207,173,134,169,125,115,60,66,124,215,220,212,194,179,150,122,96,147,243,228,203,206,209,212,215,213,229,234,210,187,148,133,138,130,71,102,201,228,231,217,184,168,143,116,91,185,244,231,204,208,210,212,217,215,230,235,215,197,181,146,126,117,125,170,238,231,241,210,173,159,135,111,96,212,241,233,205,208,211,214,217,218,230,236,224,202,190,184,156,143,170,185,238,239,239,199,162,149,125,100,128,236,235,235,207,209,211,214,217,219,227,235,226,209,197,193,184,156,161,175,241,240,219,189,156,137,120,92,178,246,234,235,207,210,213,216,217,219,223,227,221,215,203,193,183,163,150,183,242,234,200,176,150,127,112,97,217,240,235,236,207,210,215,218,219,221,222,221,219,216,201,195,182,165,145,184,223,218,181,160,138,118,99,122,242,235,236,237,207,210,214,217,219,220,225,223,223,222,203,195,184,166,142,182,207,192,164,145,127,115,90,176,249,235,239,239,208,210,213,216,217,219,222,223,227,217,199,188,177,156,136,178,189,162,149,128,118,103,114,232,239,239,240,239,208,211,212,216,218,220,221,220,229,208,184,175,156,136,141,172,174,149,141,120,113,97,183,242,234,236,238,239,208,211,212,216,219,221,219,219,234,205,187,175,144,139,148,172,168,147,133,118,102,137,240,234,235,237,239,238
17,154,158,160,161,164,164,166,166,167,167,169,169,171,173,174,175,175,176,176,176,177,178,178,178,178,179,179,179,156,158,161,162,163,164,166,167,169,169,171,171,173,173,175,176,177,179,178,178,179,179,178,179,180,179,180,180,156,158,161,163,164,165,166,168,170,170,172,173,173,174,176,177,179,179,182,181,180,183,180,180,181,180,181,181,156,158,161,164,166,166,167,169,171,172,172,175,176,177,177,179,180,173,150,167,139,157,187,181,182,182,182,182,158,159,161,164,167,167,169,171,172,173,175,176,177,178,179,180,182,184,144,111,106,129,191,181,183,183,182,183,158,160,163,165,167,169,171,172,174,175,176,177,178,179,181,181,180,200,165,111,82,140,191,182,184,184,183,183,159,162,164,167,167,170,172,172,174,175,175,177,178,179,180,182,180,200,174,130,77,150,192,184,185,185,184,184,159,162,164,166,169,171,172,173,174,175,177,179,181,183,181,183,180,201,187,145,92,171,189,185,185,185,184,184,161,164,165,167,168,171,172,175,175,176,176,181,169,160,188,184,180,204,186,146,112,185,188,186,185,187,187,185,162,164,166,168,170,172,173,175,177,178,178,183,173,130,146,189,189,207,180,144,115,186,189,187,187,188,188,186,162,165,167,168,170,172,175,175,175,174,175,191,178,156,131,152,173,200,182,145,112,184,189,189,189,188,188,187,164,166,167,169,172,173,172,180,188,161,130,168,193,188,189,150,105,146,172,148,114,182,190,190,190,190,188,188,164,165,167,172,173,175,172,190,197,161,122,165,173,196,198,176,123,101,145,138,110,178,193,189,190,190,188,189,164,166,169,172,173,174,177,190,164,181,153,151,135,136,205,193,153,99,112,123,103,175,195,191,191,189,188,189,165,167,169,172,173,174,178,198,151,139,137,99,92,80,197,207,174,113,95,106,96,173,195,190,192,190,190,190,165,167,170,172,175,174,186,186,145,127,135,110,105,103,177,222,185,135,94,104,93,165,197,190,192,191,191,191,165,168,171,174,176,173,190,192,171,155,146,123,135,137,157,228,186,150,103,100,95,157,199,190,192,192,193,192,165,168,171,174,176,174,200,184,154,148,141,132,153,158,189,207,185,159,112,95,89,158,200,192,193,193,192,192,166,167,170,174,177,180,201,169,149,141,138,149,150,197,224,187,172,157,111,89,81,157,200,192,194,193,192,193,166,168,172,175,175,184,206,173,157,143,142,151,171,224,213,191,164,147,110,87,82,166,199,191,194,193,192,193,166,169,174,176,174,189,210,177,164,144,145,154,201,220,202,186,157,140,106,89,87,184,195,192,193,194,193,192,167,171,174,176,172,194,211,181,172,153,143,173,219,214,199,179,146,135,103,83,110,199,192,193,194,194,194,192,168,171,175,177,172,201,212,183,178,169,147,182,222,204,195,180,142,124,102,77,150,202,193,194,194,193,193,192,169,172,176,178,172,201,218,188,186,182,158,182,214,194,187,176,144,114,96,90,187,197,194,195,194,193,193,193,170,173,175,178,173,195,220,195,190,184,171,172,206,190,187,169,140,112,85,126,204,192,194,194,193,194,194,193,168,172,175,178,176,186,218,201,188,177,176,171,192,185,187,176,136,109,81,145,205,192,194,194,194,194,195,194,169,172,174,177,180,182,214,198,185,173,172,176,185,176,188,179,136,108,84,165,203,194,195,195,195,195,195,194,170,172,175,177,178,183,213,191,185,172,168,174,184,172,187,170,130,104,101,192,197,195,195,195,195,195,195,195
12,206,208,208,209,210,210,211,212,211,212,212,212,213,213,213,213,213,213,214,213,212,212,212,213,212,212,212,211,207,208,210,211,211,211,213,213,212,213,213,213,214,214,214,214,214,214,214,214,214,212,213,214,213,213,213,212,208,208,210,212,212,213,215,215,214,214,215,215,215,215,215,216,216,216,217,216,214,215,214,214,214,214,214,213,209,210,211,212,213,214,216,216,214,215,216,216,216,215,216,217,217,218,217,216,216,217,216,216,215,216,215,215,211,212,213,213,214,214,216,217,216,215,216,218,216,224,217,213,219,217,218,220,218,218,217,218,217,217,216,216,213,213,214,215,215,216,216,218,216,224,227,213,224,238,226,186,197,227,219,206,219,218,219,219,218,218,218,217,213,214,215,216,217,218,218,215,229,255,241,200,213,245,230,172,152,229,221,173,192,223,218,220,219,220,220,219,213,214,216,218,218,218,220,213,237,255,244,199,202,250,229,179,144,226,213,172,148,221,222,221,220,220,221,220,214,216,218,218,219,220,219,216,242,255,245,199,199,252,225,192,168,230,199,159,133,208,227,222,222,221,221,220,215,217,218,218,220,217,231,241,217,228,244,223,181,248,234,191,185,231,207,155,126,199,229,222,223,223,223,222,216,218,219,220,220,221,255,242,197,187,222,212,161,237,232,163,189,237,194,147,124,194,232,223,224,224,223,222,218,219,221,222,217,239,255,245,217,167,198,171,129,171,175,138,195,204,151,128,123,192,234,224,226,225,224,224,219,221,221,223,219,249,255,250,224,182,169,167,119,114,129,198,219,198,159,161,147,195,235,225,226,226,225,224,220,221,224,222,224,252,235,249,228,203,155,138,146,130,197,255,249,229,200,199,169,197,235,226,227,226,226,225,220,223,224,222,230,255,243,228,229,206,167,137,138,186,255,253,245,229,203,191,161,181,237,228,228,226,227,226,222,224,224,221,243,255,249,209,224,205,177,143,133,245,255,253,245,230,207,180,151,182,238,229,230,227,227,228,223,224,226,221,248,255,253,232,209,204,215,167,166,255,255,253,244,226,197,176,146,184,239,229,231,229,229,230,224,225,228,223,240,255,254,236,206,187,207,200,227,255,254,253,243,221,195,173,149,167,237,230,232,231,230,230,225,226,228,224,242,255,255,241,228,215,199,236,254,255,251,252,243,217,199,168,147,160,239,232,231,232,231,230,226,226,229,225,245,255,255,251,241,237,222,237,246,255,246,246,238,220,194,166,137,179,242,232,232,232,232,232,226,227,230,226,242,255,255,255,248,239,227,232,238,255,244,235,230,220,184,160,134,216,237,233,234,233,234,232,226,228,230,229,235,255,255,255,249,234,225,232,233,249,238,227,226,211,175,142,160,241,232,234,235,234,235,233,226,227,230,230,230,253,255,254,245,228,219,228,229,239,231,223,217,193,159,129,210,241,235,236,236,235,235,234,227,230,232,235,233,252,255,249,241,228,224,232,237,250,239,225,207,177,133,162,243,236,237,236,236,236,236,235,226,221,217,212,200,209,205,183,180,178,177,182,178,184,173,164,160,147,125,225,252,238,238,238,238,237,238,236,178,174,166,159,143,134,131,126,119,112,107,104,93,92,92,90,90,93,97,140,197,239,239,237,238,237,237,237,159,160,161,154,144,137,135,128,122,116,112,104,97,95,95,93,89,87,84,77,81,221,242,236,237,237,236,236,172,159,161,153,143,136,132,126,121,112,108,103,96,94,94,92,87,84,87,76,132,244,235,238,237,236,236,236
16,201,202,201,202,203,203,204,204,204,204,204,203,204,205,205,205,205,205,204,205,205,204,205,205,205,204,205,204,202,203,203,204,204,204,204,205,205,206,204,205,205,205,205,206,205,205,206,208,208,206,206,207,207,206,206,205,203,203,204,205,205,205,205,205,207,207,206,207,206,206,207,206,207,207,208,209,208,208,208,208,208,208,208,206,204,204,205,205,206,206,206,207,207,207,208,207,208,208,207,209,211,212,209,207,208,207,209,208,209,209,209,208,204,204,205,206,207,207,207,207,208,208,209,210,209,208,206,192,192,191,207,215,208,209,209,209,209,209,208,207,204,205,205,207,208,207,208,207,208,208,206,200,197,211,220,178,160,152,140,180,216,214,208,210,209,210,209,208,204,205,205,206,208,209,209,209,209,209,203,181,191,225,221,195,177,165,134,104,138,197,217,209,210,210,210,209,204,205,206,208,209,209,208,201,194,228,216,190,207,226,211,201,190,165,127,121,100,109,169,218,209,210,210,209,206,206,207,208,210,207,218,198,199,221,213,197,210,226,198,191,182,158,113,126,112,106,97,159,218,210,211,211,207,207,208,209,210,207,231,210,203,213,212,209,203,215,186,185,172,146,110,116,107,111,109,93,161,221,209,212,208,208,208,210,208,209,217,209,197,213,218,213,207,211,189,183,164,132,109,106,102,108,109,106,90,186,220,212,207,207,208,208,211,214,207,215,209,204,220,214,210,221,202,184,156,123,104,96,98,107,106,107,94,130,221,212,206,205,207,205,219,211,206,217,222,206,214,213,211,219,206,180,144,116,95,83,100,110,110,105,98,108,212,213,206,207,208,207,213,214,210,210,220,207,215,219,218,216,205,170,131,109,75,80,100,112,115,117,98,119,218,211,207,208,208,209,208,215,220,212,222,216,186,227,224,214,206,163,120,84,53,82,97,107,122,117,100,129,221,210,207,207,209,209,209,216,222,224,197,210,191,217,223,216,208,156,109,55,48,73,87,104,129,110,99,136,220,210,207,208,208,209,210,209,211,232,170,179,212,208,218,222,203,149,101,56,44,59,79,113,135,107,95,162,222,212,208,208,209,209,209,209,198,209,229,203,197,207,221,225,197,146,97,72,59,51,86,134,135,107,96,180,222,214,209,209,210,211,210,210,202,188,213,210,201,206,224,225,191,140,94,88,89,71,107,158,147,112,93,178,222,214,200,202,203,205,207,210,213,200,201,203,193,184,216,223,187,131,96,97,98,82,128,180,174,132,91,187,222,212,130,134,137,138,142,147,149,151,153,154,129,132,206,224,186,122,100,104,104,96,140,182,188,159,100,173,218,226,118,117,118,116,115,116,115,114,114,115,117,110,203,229,187,119,122,113,108,107,146,180,193,187,126,165,233,247,122,123,124,122,121,123,123,123,123,123,128,110,191,234,182,125,168,130,120,107,132,172,188,198,151,176,235,242,120,121,121,121,121,122,123,122,123,123,126,113,168,231,177,134,198,147,134,123,107,149,182,178,144,130,235,228,120,121,120,123,123,123,123,122,124,125,128,114,158,245,168,151,217,169,150,139,119,107,150,157,124,154,206,209,120,121,119,120,121,123,123,122,124,124,127,114,155,239,134,191,223,186,165,154,131,106,105,114,116,215,169,187,120,120,120,120,121,121,121,122,124,123,124,121,133,154,176,228,219,196,176,164,139,112,103,98,111,234,204,169,119,121,119,122,121,120,121,123,124,123,123,125,119,124,221,230,224,202,182,170,149,117,105,101,113,238,231,206
4,94,102,114,121,123,127,130,133,137,138,140,142,144,147,149,151,152,154,157,158,160,161,162,164,164,165,167,167,96,104,114,121,123,128,132,135,137,139,142,145,144,145,147,151,157,155,157,159,160,162,162,164,164,165,166,167,97,106,114,121,125,130,133,136,140,139,138,141,149,160,140,133,138,159,156,161,163,162,164,165,165,165,165,167,99,107,118,122,126,132,134,137,138,152,155,134,131,165,177,147,104,112,141,119,147,166,163,166,166,167,167,167,100,109,120,124,127,132,135,136,136,176,188,170,133,102,171,145,105,71,137,94,96,172,163,167,167,169,169,169,101,110,119,125,130,133,134,156,160,145,121,171,140,86,129,135,92,67,120,101,89,169,165,168,168,169,170,171,103,112,121,125,131,130,151,198,176,138,87,141,134,81,98,152,107,67,134,121,82,162,168,169,169,170,170,170,103,114,123,126,130,127,166,174,175,135,87,112,154,89,69,157,124,54,149,129,70,160,171,169,170,171,171,171,104,116,123,127,132,128,172,172,150,157,122,80,161,117,32,117,158,91,108,113,126,115,152,172,170,172,172,173,106,116,122,128,134,129,172,172,129,143,125,52,99,107,50,98,165,130,105,113,128,105,120,177,170,174,174,175,108,118,126,128,135,129,172,179,157,130,100,80,68,97,90,108,134,135,131,117,109,132,107,164,175,173,174,174,110,120,127,130,136,133,189,179,148,128,112,88,91,118,100,121,137,133,121,116,138,154,109,140,182,174,176,176,111,121,127,131,135,139,197,177,139,117,101,85,97,114,117,131,149,125,90,137,173,157,129,117,182,176,176,177,112,122,128,132,134,145,202,171,141,120,103,94,103,113,135,138,152,166,166,144,147,160,138,102,168,181,176,176,113,122,128,133,133,154,209,175,144,120,111,97,106,121,144,151,162,180,177,166,157,137,124,86,145,186,178,180,116,123,129,135,133,152,213,179,150,130,109,97,107,124,151,163,176,183,177,167,156,132,107,77,139,189,179,182,118,124,128,135,134,150,215,185,161,138,109,105,109,125,159,175,183,184,176,166,147,129,104,75,160,186,180,182,119,125,128,134,135,153,219,185,166,145,124,117,116,130,168,187,189,183,169,157,143,122,93,92,186,180,182,182,119,125,128,134,136,151,211,187,173,153,141,120,125,145,175,197,192,182,168,150,133,112,74,129,192,179,183,183,120,125,129,136,139,143,198,193,181,164,154,137,130,162,170,192,189,178,167,144,124,95,76,171,185,182,183,184,119,125,130,136,140,138,185,197,186,172,161,151,135,155,166,184,184,174,161,140,121,82,110,192,181,183,184,184,120,125,130,136,141,139,170,207,189,179,165,152,140,150,162,183,179,164,157,139,118,82,158,188,183,183,184,185,122,125,130,137,141,142,160,216,192,178,162,146,143,148,164,176,167,153,142,137,107,107,189,183,184,184,184,185,122,126,130,136,142,143,158,222,186,171,162,152,150,153,162,164,149,141,128,117,98,168,185,184,185,185,185,185,121,126,130,136,143,143,160,214,175,171,169,166,160,154,157,159,145,133,121,87,149,187,183,185,185,185,185,185,123,127,131,137,142,141,163,208,176,178,175,170,170,158,152,152,141,126,98,100,188,179,183,183,186,186,186,186,122,126,131,137,143,142,165,210,194,180,170,174,178,159,143,140,133,118,77,135,189,179,183,184,186,186,186,186,121,127,133,138,143,143,166,207,200,179,172,181,180,153,139,133,132,106,74,164,187,181,185,185,186,186,187,187
18,150,153,155,155,157,158,160,162,162,162,164,166,167,167,168,170,170,170,171,173,172,172,173,172,171,171,172,171,151,153,156,157,158,159,161,162,163,164,165,166,167,168,169,171,172,171,170,172,173,174,175,174,173,173,172,172,152,154,156,158,160,161,161,163,163,165,166,166,166,168,169,173,175,171,171,172,171,173,175,175,175,173,172,172,153,154,158,159,160,162,161,164,165,166,167,167,169,169,171,160,155,177,171,175,174,174,176,175,175,175,175,175,153,155,160,159,160,161,162,163,165,168,168,170,173,170,181,157,110,144,179,174,174,177,174,174,175,175,176,176,153,155,159,159,160,161,163,165,165,168,170,162,148,168,174,169,114,72,155,177,156,145,170,177,176,177,175,175,153,154,158,160,161,161,165,167,167,170,184,164,125,127,179,153,129,85,99,139,131,114,117,184,176,177,176,176,153,155,158,160,160,162,164,163,157,184,185,164,132,110,195,169,156,122,86,92,116,112,76,164,180,176,177,176,154,156,159,161,161,160,177,167,122,163,188,158,128,127,193,192,174,131,91,77,101,102,68,136,188,176,178,177,155,157,159,162,159,174,196,167,119,148,189,158,119,145,183,186,171,131,87,65,82,93,64,137,188,176,178,178,157,158,159,161,159,182,199,168,120,137,189,162,109,159,183,184,168,128,86,56,70,80,63,154,185,177,179,179,157,159,160,161,162,173,189,171,123,126,188,159,97,126,169,192,164,122,82,57,62,65,77,172,182,177,180,178,157,159,162,158,169,186,170,168,133,109,168,147,95,58,139,198,156,117,76,59,56,56,102,187,178,180,180,181,156,159,161,163,175,167,147,139,125,77,117,117,83,19,155,201,154,110,72,60,62,60,117,190,176,180,181,182,158,159,158,173,187,153,140,112,94,65,90,104,53,67,200,186,150,112,77,54,62,60,132,191,179,182,182,182,159,161,159,175,196,166,144,119,115,67,90,105,122,186,200,176,144,113,79,64,66,69,167,185,181,183,183,183,159,163,156,186,193,163,144,124,116,97,103,155,212,187,172,167,138,103,76,67,56,93,190,179,182,182,182,181,161,160,160,200,185,163,144,128,125,127,146,212,206,179,153,153,128,92,72,71,65,154,186,180,180,181,180,179,161,158,170,205,180,163,154,136,134,129,192,214,198,171,140,139,118,80,75,66,137,189,180,182,181,181,181,179,161,157,178,204,179,171,163,137,139,171,212,205,186,163,132,125,108,78,65,110,190,180,182,182,183,182,182,181,162,158,180,205,182,176,167,139,159,199,201,195,180,149,125,115,97,71,76,176,184,182,182,182,183,183,182,182,162,160,175,201,185,180,167,148,172,198,190,177,174,138,118,105,87,60,134,190,181,183,182,183,183,183,183,182,163,160,172,201,187,178,165,161,171,194,177,170,152,135,107,97,75,82,183,181,183,183,183,184,185,183,182,183,163,159,177,198,180,171,161,165,169,183,165,166,137,128,97,89,60,126,193,181,183,184,184,185,185,184,182,181,162,158,183,183,167,164,158,164,173,172,153,165,148,113,93,81,64,165,185,182,183,183,184,185,185,184,183,182,163,159,185,165,158,162,159,162,173,165,153,164,147,106,88,66,105,192,179,183,184,183,183,184,185,183,183,183,162,160,194,178,168,169,171,170,178,158,149,154,131,100,79,74,171,185,183,185,184,184,184,185,185,184,183,184,160,163,203,187,169,173,179,174,181,143,141,140,114,92,66,141,191,182,184,184,185,185,185,185,185,185,184,184
8,205,205,205,205,206,204,209,184,161,207,204,205,205,204,203,202,202,201,200,199,198,197,196,196,194,193,192,191,206,206,206,206,206,206,204,165,127,206,206,206,206,206,206,204,204,203,202,201,200,199,199,197,196,195,194,193,207,207,207,208,207,209,196,144,136,215,207,207,208,207,207,206,205,205,204,203,202,201,200,199,198,197,195,195,210,209,209,210,210,206,187,121,166,219,208,209,210,210,209,208,206,207,206,205,204,203,202,201,200,199,198,197,210,210,210,210,211,207,171,110,200,214,210,210,210,211,210,209,209,209,207,206,205,205,204,203,202,200,200,198,211,211,211,212,212,207,168,117,209,213,212,214,216,212,211,210,209,210,209,207,207,206,205,205,204,202,201,199,213,212,212,212,213,205,158,122,215,214,213,194,183,216,215,213,215,210,210,209,205,209,206,206,206,204,203,201,214,214,214,214,214,200,151,116,213,216,203,177,138,163,183,153,189,217,210,212,173,193,211,207,207,205,204,203,215,215,216,215,215,203,181,127,195,217,200,193,166,119,147,143,127,187,160,174,179,151,219,208,208,207,206,205,215,216,216,216,217,205,196,146,177,215,199,205,175,130,127,148,131,174,152,128,181,150,173,220,208,208,206,205,216,216,217,216,217,210,191,165,167,190,195,208,180,134,116,131,156,178,143,115,167,175,127,176,213,209,207,206,217,219,218,217,218,213,199,192,176,175,162,195,182,143,111,111,164,168,131,104,142,189,159,121,178,217,207,206,219,220,218,219,220,213,210,187,166,159,157,169,189,146,105,107,168,157,126,91,139,199,166,111,171,219,208,207,219,220,221,219,220,214,199,167,145,132,132,145,200,172,122,112,169,145,108,78,173,200,145,114,209,212,209,209,220,221,221,220,221,212,202,182,158,128,118,105,187,210,154,116,170,137,90,112,182,183,117,160,222,210,211,210,221,221,220,221,221,207,204,192,160,122,119,114,179,201,155,121,150,141,151,157,185,149,111,206,216,213,211,211,221,221,221,222,221,204,208,193,157,131,116,129,201,167,112,133,157,166,171,142,157,117,134,226,212,214,212,210,222,222,223,223,221,207,208,188,166,137,123,140,186,178,175,194,189,171,163,126,124,94,183,223,214,215,213,211,222,222,223,223,220,208,206,193,168,134,131,171,206,207,216,204,183,168,149,117,90,149,224,216,216,215,214,213,222,221,222,223,220,201,206,199,167,138,148,196,211,211,211,194,175,157,136,91,138,226,219,218,217,216,215,213,221,221,223,223,221,203,200,196,174,145,162,202,207,218,206,183,165,148,103,125,223,219,217,217,216,215,214,212,222,222,223,223,223,207,201,195,176,145,168,198,195,200,186,169,153,115,113,216,220,217,216,216,216,215,213,211,223,223,223,224,223,207,203,197,173,153,167,195,186,182,161,148,117,102,206,225,217,218,217,217,216,215,214,211,223,223,223,224,221,209,200,190,177,166,166,191,180,168,149,114,95,195,229,219,222,221,217,216,215,214,213,215,222,222,222,223,217,206,198,193,190,174,166,183,170,150,124,95,190,229,220,222,221,220,217,217,218,219,222,203,226,228,229,231,210,203,200,200,188,174,174,181,158,128,93,177,236,221,224,223,222,225,226,220,208,195,163,122,168,173,176,178,189,210,208,202,187,175,176,168,141,107,116,213,211,214,214,215,215,197,163,136,113,103,90,90,132,132,134,128,180,215,206,193,181,177,162,152,131,100,114,138,142,145,145,145,134,109,90,90,86,85,90,85
19,149,153,156,161,165,169,172,174,177,179,181,183,184,185,185,186,187,187,185,185,185,183,183,183,182,181,181,181,150,155,158,162,166,170,173,175,178,180,182,184,185,185,186,188,188,186,186,186,186,186,185,185,183,183,182,182,151,155,160,165,168,172,174,177,179,181,184,185,185,187,188,188,189,188,188,187,187,187,187,186,186,186,185,183,151,156,162,166,170,173,175,178,180,182,184,186,187,189,190,189,189,189,190,189,189,188,188,187,187,187,187,185,153,157,162,167,171,174,176,179,181,184,185,187,189,188,187,191,190,190,192,192,190,190,189,188,188,187,187,186,154,158,162,168,172,176,179,180,182,185,186,187,194,182,145,170,192,192,193,193,191,191,190,190,190,188,187,186,155,159,164,170,174,177,180,182,184,186,188,189,204,187,124,121,191,194,194,193,192,193,192,191,190,189,188,188,156,160,165,171,175,178,181,184,186,187,189,191,210,193,131,98,179,196,195,193,193,194,194,192,191,191,190,189,157,161,167,172,176,179,181,183,185,186,189,188,202,181,131,91,162,194,193,192,191,193,190,189,190,191,191,190,158,162,167,173,177,179,186,185,157,145,160,169,163,152,136,120,135,155,163,156,154,160,148,174,191,176,192,192,158,162,168,173,178,181,195,181,144,135,140,148,155,152,146,136,131,142,159,148,145,149,143,186,192,150,191,193,160,164,170,175,178,190,199,185,151,110,105,110,132,136,136,123,120,125,134,132,131,130,131,149,152,159,194,193,160,166,171,176,182,201,208,190,146,95,83,91,94,95,96,92,97,109,120,124,125,131,138,153,175,192,195,194,160,166,171,177,197,208,210,179,136,101,86,93,98,91,70,100,165,187,191,191,193,197,198,198,199,196,195,195,161,167,172,191,211,213,214,190,144,99,83,84,102,101,83,84,159,204,203,202,203,202,201,200,200,198,197,196,163,167,179,208,213,215,221,199,145,95,78,76,89,105,96,80,84,187,205,204,204,204,202,201,201,200,199,198,164,169,198,213,215,220,219,198,146,97,80,84,85,82,81,85,75,172,208,205,205,205,204,203,202,201,200,199,163,183,213,214,216,218,214,198,156,104,78,76,93,89,71,62,91,194,207,206,206,206,206,205,203,202,201,200,171,205,214,214,215,214,215,205,168,107,81,70,84,92,83,61,141,210,207,207,207,207,206,205,204,203,201,201,201,215,214,214,210,210,213,197,153,110,90,81,78,75,83,75,177,211,208,207,207,208,207,206,205,204,203,202,218,210,213,208,199,197,193,173,137,118,108,97,88,73,63,97,198,210,209,209,208,208,208,207,206,205,203,202,210,207,205,199,195,191,181,166,145,125,109,104,97,82,65,157,213,210,209,210,210,209,209,208,207,206,205,204,203,200,201,195,193,190,179,164,161,139,103,93,98,88,77,179,215,211,210,210,210,210,209,208,207,207,207,206,198,200,198,188,188,185,171,153,149,123,77,72,92,83,121,208,212,212,211,210,210,210,210,209,208,207,207,205,198,201,188,177,174,169,151,128,112,89,58,67,88,96,181,211,210,210,209,209,209,209,209,209,208,206,206,205,198,195,177,156,151,147,124,97,88,83,78,92,122,175,208,209,209,210,210,209,209,209,209,208,208,207,206,206,185,182,168,140,118,113,99,82,87,163,179,187,202,210,210,210,210,211,211,211,210,209,210,208,208,208,207,206,164,171,163,127,86,67,62,54,127,204,207,208,209,210,210,211,212,213,212,212,211,210,210,209,209,208,207,206
16,225,226,227,228,228,227,229,229,230,229,228,230,230,230,230,229,230,230,232,233,231,230,232,231,231,232,231,229,226,227,228,228,229,229,230,231,230,230,229,231,232,230,233,235,235,234,230,233,232,232,232,233,232,232,232,230,227,227,228,230,230,229,229,231,231,232,233,233,231,230,212,208,204,220,241,235,233,233,233,232,232,232,232,231,227,228,228,230,231,231,230,231,231,229,223,217,232,244,204,184,176,153,178,228,240,234,233,232,233,233,232,232,227,228,229,230,231,232,233,232,233,228,207,211,247,246,221,205,190,160,124,132,187,235,237,231,233,233,232,232,228,229,230,232,233,231,227,215,251,244,215,227,250,238,225,215,192,147,143,125,116,147,223,240,231,234,234,233,230,231,230,231,230,242,227,220,242,239,222,231,251,224,214,206,184,132,143,132,127,119,135,221,242,234,235,234,231,231,231,232,229,252,240,222,236,234,232,225,239,211,208,196,171,131,132,125,127,129,117,128,230,238,235,236,230,229,232,231,230,238,236,220,233,240,238,229,236,215,206,189,155,128,122,119,123,127,128,108,157,247,236,237,228,230,231,233,239,229,235,235,227,239,240,232,247,228,209,179,144,122,113,116,124,126,123,122,115,225,241,236,229,230,228,240,239,227,236,247,233,233,238,233,245,232,206,168,136,116,99,116,127,129,131,122,110,208,243,233,229,230,230,234,236,235,231,242,231,234,243,240,240,230,196,154,129,94,94,116,128,134,140,126,116,226,238,235,231,231,232,231,235,245,238,244,249,207,245,248,237,232,194,142,106,63,92,111,120,140,136,125,125,232,237,237,233,232,232,231,236,244,249,220,226,219,234,248,240,233,186,132,81,57,84,100,115,150,131,120,134,236,237,237,232,231,232,232,233,232,253,211,187,233,232,239,245,231,180,125,82,58,68,89,126,159,130,116,155,243,237,238,230,231,232,232,233,224,225,252,233,214,228,241,251,226,177,119,94,82,69,93,154,162,132,115,160,243,237,239,234,235,236,237,237,236,214,227,239,224,228,244,253,222,171,118,106,111,97,115,182,182,146,111,156,244,238,238,189,194,198,201,204,210,204,204,230,210,206,230,252,219,162,117,115,118,104,131,199,206,176,114,159,247,235,239,134,136,135,135,137,139,140,142,174,151,139,210,253,219,153,116,121,125,114,143,199,214,200,142,135,210,250,255,142,142,141,138,139,139,138,137,136,142,124,202,255,222,144,145,135,127,122,149,193,213,216,182,154,240,255,255,140,142,141,140,140,142,142,142,143,146,129,187,255,224,139,197,162,143,132,133,180,204,215,200,161,231,255,255,140,140,139,142,141,141,141,141,143,145,134,163,249,222,145,221,186,159,151,129,141,193,199,185,128,200,255,237,139,139,139,141,141,142,141,142,144,146,138,150,255,216,155,242,209,179,166,149,121,141,176,151,156,216,209,234,139,139,138,139,141,141,141,141,142,144,140,146,255,179,185,255,222,196,181,161,134,118,129,114,207,248,182,211,138,140,139,140,140,140,141,143,143,143,142,144,174,176,246,249,230,206,190,171,143,123,125,105,212,255,228,194,138,140,140,141,140,138,140,143,142,142,141,143,126,205,255,250,237,212,196,180,151,124,127,108,208,255,249,233,139,140,140,141,140,137,138,141,141,141,141,143,133,193,248,247,240,219,199,183,158,128,125,108,190,255,244,222,137,138,140,144,140,138,138,140,140,141,141,143,134,191,246,245,238,218,200,186,164,134,126,111,179,255,254,204
5,137,141,146,150,155,158,162,164,165,168,169,170,171,171,170,170,170,171,170,168,169,168,166,165,163,163,162,161,138,144,149,153,158,161,163,167,168,170,172,173,172,173,173,172,172,171,172,173,170,171,169,168,167,165,165,164,141,147,153,157,162,162,166,169,170,172,174,175,177,176,176,176,173,185,111,152,178,172,172,171,170,169,165,164,143,150,155,158,162,164,168,171,173,172,185,161,119,184,178,175,190,173,79,148,182,175,174,172,172,171,168,166,147,152,157,161,165,167,169,173,177,173,196,150,84,184,181,181,201,115,99,185,179,179,177,176,174,173,171,171,148,154,159,163,168,168,176,178,179,174,214,116,110,195,180,198,165,71,152,189,180,181,179,179,178,176,174,173,150,155,161,165,167,182,142,168,183,187,215,79,145,196,188,195,115,99,193,185,183,183,183,182,181,179,178,178,152,158,163,169,168,197,121,125,188,205,195,72,172,194,192,155,82,163,196,188,187,186,186,186,184,182,182,182,154,160,164,170,171,194,155,95,192,209,146,86,188,187,179,92,111,201,191,191,190,189,189,189,187,186,184,184,156,161,166,172,173,187,183,85,184,194,93,107,199,171,164,76,157,204,193,193,193,192,192,190,189,190,189,187,157,163,169,174,179,181,208,117,149,194,104,110,187,160,143,87,181,202,196,199,199,196,193,192,191,190,191,191,160,166,171,176,181,180,208,161,105,187,119,97,136,144,108,104,204,200,195,177,183,197,201,194,193,192,193,192,161,167,173,177,182,184,199,201,133,119,120,98,109,134,87,123,208,187,187,191,180,169,169,200,196,196,194,193,163,169,176,180,186,189,189,201,184,125,108,115,108,115,86,115,164,181,168,169,183,186,136,168,205,197,197,195,164,171,177,182,185,190,192,192,212,186,130,110,93,93,82,111,125,135,113,98,143,158,167,118,171,203,198,198,165,170,175,181,186,191,196,193,227,228,154,107,89,83,79,102,110,85,119,182,210,199,172,166,123,199,200,199,167,172,180,184,189,191,197,195,213,246,172,106,85,82,81,94,91,118,212,211,208,198,186,134,154,210,201,203,168,174,181,185,189,191,197,197,203,247,171,111,87,81,77,96,74,151,226,205,209,179,156,97,184,210,204,206,168,175,181,187,191,195,199,198,199,230,164,115,91,76,75,98,99,113,175,217,199,173,129,89,187,212,205,206,172,177,182,188,192,195,199,199,196,235,167,117,98,79,77,94,107,126,126,134,173,172,109,117,209,209,208,207,170,177,182,188,191,195,201,200,200,233,165,131,109,83,74,97,115,135,147,115,155,154,106,170,217,210,210,209,171,178,184,189,193,197,202,199,203,222,168,140,111,86,74,106,133,143,150,122,120,133,125,212,210,211,210,210,172,179,185,191,195,198,203,200,200,221,172,142,111,90,75,110,136,140,136,114,102,105,173,221,211,212,210,210,173,180,187,191,196,198,204,202,203,213,167,137,113,96,85,105,125,125,122,105,110,174,217,215,215,214,212,212,175,181,188,193,197,200,204,200,219,216,160,133,120,97,94,106,121,121,110,109,195,224,215,215,215,215,215,214,176,182,188,194,198,199,205,196,228,228,177,141,114,100,94,103,111,103,104,174,224,215,216,215,216,215,215,214,175,183,189,193,198,199,207,199,225,215,172,124,96,100,102,104,105,121,190,222,217,219,218,217,217,217,215,214,177,183,188,193,198,200,206,206,224,210,177,124,95,100,101,98,122,207,229,218,219,219,218,218,217,217,216,215
8,200,202,202,204,204,205,208,205,205,204,203,203,202,203,202,199,198,198,197,196,194,193,192,190,187,187,185,184,203,204,205,206,206,200,189,208,208,206,205,204,204,204,202,201,200,198,198,198,197,195,193,192,189,187,186,185,205,206,207,206,211,197,127,189,215,209,209,207,205,205,203,203,202,199,199,198,198,197,194,193,190,188,188,188,206,207,209,207,213,179,117,171,220,209,210,208,207,207,205,204,204,203,201,201,199,198,196,195,192,189,189,189,206,209,210,210,214,178,109,175,222,211,212,208,209,209,207,207,206,206,204,202,201,199,198,197,194,190,191,190,209,210,211,212,214,173,101,188,220,212,213,215,213,210,209,208,207,205,207,209,200,201,200,198,196,193,192,191,210,212,213,213,216,175,100,186,222,214,215,202,212,215,212,215,209,167,141,180,178,170,205,198,199,197,195,193,212,214,215,214,219,191,112,174,227,216,196,153,143,207,179,153,172,169,130,106,158,136,207,199,199,197,197,194,213,214,215,216,219,187,106,159,231,207,189,174,134,149,167,125,117,177,154,102,119,128,189,207,199,199,198,196,214,215,217,218,219,189,131,137,228,202,197,189,150,125,169,141,124,177,144,103,95,121,131,208,201,199,199,197,215,217,219,220,219,211,175,130,213,205,192,199,157,113,159,156,118,158,132,98,82,130,108,154,211,200,200,198,215,218,218,219,220,218,182,135,181,184,167,196,160,115,138,162,108,141,168,118,82,134,111,125,214,200,201,199,216,218,219,220,221,222,189,179,169,171,144,181,161,111,112,161,113,133,189,121,95,149,103,153,216,201,202,200,219,219,221,222,222,224,218,198,165,153,145,164,163,117,100,138,109,70,121,88,115,150,98,184,212,204,204,201,220,220,221,222,223,223,222,181,149,124,120,140,177,159,100,82,82,90,80,124,164,137,106,207,208,206,204,203,221,220,222,224,225,226,219,180,156,128,112,115,184,170,120,82,130,177,170,160,170,115,122,220,206,206,203,202,220,221,224,225,226,225,225,203,170,132,116,115,157,151,113,123,181,179,179,147,134,94,148,222,207,207,204,203,219,221,226,225,226,227,224,206,173,141,120,114,146,166,166,188,199,174,166,136,108,88,196,216,209,207,205,204,220,222,225,225,227,227,223,211,181,153,130,115,150,203,212,208,194,167,155,129,78,141,224,211,211,208,207,205,221,222,225,227,228,229,220,209,187,157,132,126,166,212,203,199,180,156,142,111,89,210,217,212,211,210,208,206,222,224,225,227,228,228,214,203,194,161,137,138,176,203,200,194,168,149,132,84,155,228,214,213,212,211,208,207,223,225,225,228,229,230,217,208,199,166,148,141,182,195,199,184,156,140,110,96,217,220,215,214,213,212,210,208,224,225,227,229,230,232,226,213,204,175,152,138,178,187,183,167,142,126,79,164,231,217,217,215,214,213,210,208,223,225,228,229,229,232,229,220,203,176,154,143,167,177,165,149,127,92,107,226,221,221,217,216,215,213,210,208,225,226,228,229,230,231,230,218,195,172,156,149,156,170,155,137,112,82,203,227,220,220,217,217,214,213,212,210,226,228,229,229,229,231,230,218,196,181,172,165,154,164,148,129,84,163,237,221,221,220,218,217,213,213,212,210,225,227,229,231,231,229,227,223,203,196,179,171,160,158,135,103,109,230,225,225,223,221,219,216,213,213,212,209,225,227,230,230,233,223,218,225,206,201,176,171,160,139,123,88,166,238,224,225,223,220,220,219,216,215,214,211
19,186,187,187,189,191,192,193,194,193,194,194,193,193,192,192,192,191,190,188,187,187,186,186,185,184,183,183,182,186,188,190,191,193,193,194,195,195,195,195,195,194,194,194,193,192,192,191,190,189,187,187,186,186,186,186,184,187,190,192,192,193,195,196,196,197,197,196,196,196,195,194,195,194,192,192,192,191,191,189,189,188,187,186,185,188,190,192,194,195,196,198,198,199,200,199,198,197,196,195,196,196,193,194,193,192,193,192,190,188,188,187,186,190,191,192,194,196,197,200,200,201,201,200,201,201,198,198,197,196,195,194,194,194,194,193,191,189,188,188,187,191,193,194,195,197,200,200,202,202,201,201,201,202,202,200,198,197,196,195,195,194,193,193,192,190,190,189,189,192,194,195,198,199,201,202,204,203,203,203,202,201,201,201,204,201,200,198,196,197,196,193,193,192,192,190,190,193,195,198,200,202,203,204,204,204,204,203,204,202,201,195,187,197,200,199,200,200,197,195,194,191,190,191,190,195,196,199,201,203,204,205,206,205,206,204,204,202,207,188,145,155,202,188,189,193,191,186,191,190,129,185,193,197,198,200,202,203,205,206,205,205,201,197,201,200,208,200,193,204,207,193,193,206,198,189,171,133,118,190,194,197,200,202,203,203,206,206,209,212,184,174,183,191,195,185,174,164,172,161,172,189,166,138,128,145,187,198,195,197,200,202,203,204,206,204,205,184,177,189,191,181,183,177,168,129,117,118,123,161,161,177,192,202,199,195,197,201,202,203,204,207,200,211,227,208,209,210,201,190,175,136,111,118,96,92,173,210,206,205,202,200,198,196,197,202,203,204,205,211,199,238,251,223,204,194,188,182,164,126,93,109,98,101,195,207,203,202,200,200,200,200,200,200,202,205,206,211,200,235,239,203,173,143,133,135,145,131,102,109,100,107,200,205,205,203,203,201,201,201,200,201,203,207,208,210,200,217,226,190,136,123,86,80,163,139,108,112,101,120,207,206,206,205,205,204,203,202,201,202,204,206,208,212,198,210,226,187,141,99,69,134,161,132,112,113,99,144,217,207,207,208,207,206,204,203,201,203,204,207,209,214,196,206,231,194,157,125,89,95,94,91,99,100,108,120,213,210,209,207,207,206,205,203,201,205,207,209,210,215,197,204,231,199,164,131,117,84,59,56,67,87,100,98,197,214,209,209,207,206,205,203,202,205,208,210,210,217,195,196,228,195,166,135,120,118,95,82,89,100,108,100,184,217,210,210,208,206,207,205,205,206,208,210,211,215,199,192,224,193,163,136,121,121,106,95,101,108,115,106,189,217,210,210,209,208,208,208,206,206,208,210,213,217,203,189,222,193,160,137,123,121,107,96,102,110,115,115,202,216,211,211,210,209,209,210,207,206,209,211,214,218,207,194,215,185,155,134,121,119,113,104,107,117,117,137,217,214,213,212,212,210,210,209,208,209,211,211,213,217,208,206,218,186,153,136,123,118,117,116,118,126,114,175,221,213,215,213,212,212,211,209,210,210,211,213,216,219,204,209,223,192,161,141,127,118,123,123,125,120,146,215,216,217,216,215,213,212,211,210,210,208,210,212,214,221,198,210,217,193,174,147,126,119,127,126,123,165,213,219,218,216,215,215,213,213,213,211,209,207,210,210,211,214,200,215,207,181,166,145,125,123,125,116,149,218,218,215,216,215,213,213,212,212,211,210,209,207,211,211,213,211,213,224,211,188,164,149,130,120,119,110,167,217,217,216,216,215,214,213,213,212,210,209,208
1,74,84,65,46,47,37,53,0,33,66,81,92,139,102,81,123,122,130,131,135,138,142,144,147,148,150,153,153,77,88,63,50,45,44,51,0,41,68,88,96,141,117,66,123,88,119,136,136,141,143,145,150,150,152,153,154,80,90,59,54,42,52,44,0,48,66,127,108,108,140,77,137,86,85,142,137,142,144,147,150,151,152,154,156,84,90,57,59,42,59,34,0,53,68,140,117,95,143,83,138,117,69,138,141,143,146,149,151,152,154,156,157,88,87,55,62,41,65,24,6,60,71,142,125,94,162,110,122,132,68,128,146,144,147,150,152,154,157,159,159,92,86,58,66,43,71,14,15,61,71,141,132,96,171,120,116,156,83,112,151,146,150,152,155,157,160,161,162,96,83,62,69,45,75,7,18,96,96,133,157,100,160,123,120,171,102,92,153,149,152,154,158,161,163,162,163,100,82,67,68,49,76,2,26,137,104,124,160,99,147,129,110,164,117,83,151,151,153,157,160,162,164,164,165,103,80,71,66,55,73,0,37,141,98,119,159,95,145,146,102,160,127,80,150,154,155,160,163,164,165,167,167,103,77,75,63,62,69,0,43,147,103,113,168,94,139,159,99,165,138,82,144,156,158,162,164,166,168,169,168,104,77,80,60,70,59,0,46,153,126,108,173,106,113,161,91,151,143,77,137,162,160,162,165,168,169,169,169,100,77,85,58,80,48,2,49,148,130,91,171,112,81,151,82,131,154,77,127,165,159,164,168,169,170,171,170,99,78,86,55,87,36,8,52,134,138,83,152,124,114,137,129,146,126,73,108,168,161,165,168,170,173,172,172,97,79,86,54,92,25,15,54,131,157,83,130,150,125,107,143,144,86,58,90,169,163,167,169,171,172,173,175,94,82,86,53,95,15,22,56,132,145,108,141,141,139,130,171,159,95,52,68,162,165,169,171,172,173,176,177,93,86,85,55,95,6,29,58,134,150,149,130,128,135,144,159,152,124,71,46,149,170,168,171,173,174,175,177,92,89,83,60,95,0,35,60,150,170,140,116,114,120,127,123,148,152,107,48,129,175,168,172,173,174,176,178,88,95,80,68,91,0,39,62,159,163,125,105,114,124,142,157,162,171,143,73,99,176,169,173,173,176,176,177,88,99,77,76,84,0,44,62,146,162,118,99,122,125,150,184,168,171,156,99,79,172,170,173,174,176,177,176,90,101,72,83,72,0,50,62,125,168,129,108,114,133,154,184,179,160,142,94,77,171,170,174,175,176,178,179,91,102,67,91,63,0,53,67,100,164,137,115,111,139,156,185,181,157,130,79,84,175,169,173,176,177,178,179,91,104,65,99,53,0,54,71,84,150,153,126,109,133,155,181,177,152,125,74,87,176,169,173,175,178,178,179,95,107,63,108,42,1,55,71,79,132,161,136,121,120,148,176,166,142,124,71,87,176,170,174,177,177,178,179,100,110,62,117,33,5,57,70,81,105,153,144,137,121,139,168,157,133,115,66,94,177,170,175,177,177,178,178,105,110,65,121,22,9,55,67,81,91,127,151,142,134,128,146,150,126,110,62,112,175,168,172,173,174,176,176,110,107,67,124,12,14,52,65,78,90,103,146,146,137,119,123,136,112,100,66,139,171,167,170,171,172,175,175,113,101,72,123,1,17,51,62,75,91,93,137,146,129,113,112,113,107,97,67,151,164,165,169,171,173,174,175,116,97,77,116,0,22,47,54,66,83,86,126,141,117,115,121,114,107,89,62,152,161,161,165,168,170,171,170
15,60,61,61,61,63,65,66,67,69,72,79,88,96,103,108,113,115,116,117,120,123,127,128,130,133,134,135,136,62,61,60,62,63,66,65,68,70,72,79,89,97,103,107,112,115,116,118,121,124,127,130,131,133,134,136,138,63,61,61,61,63,66,67,68,69,73,81,89,96,104,108,112,116,118,120,122,125,127,130,132,133,135,137,138,63,61,61,61,62,65,61,65,71,74,82,90,96,103,109,113,116,118,120,123,126,128,131,133,134,137,139,141,63,61,61,62,61,62,97,81,67,70,82,91,99,104,109,115,116,118,120,122,126,128,132,133,135,138,139,142,62,61,60,62,56,78,153,129,107,89,83,89,96,104,112,116,118,118,119,123,126,130,132,134,137,138,139,141,62,61,61,62,59,69,127,132,120,124,112,109,99,96,102,109,113,117,121,126,130,131,132,134,137,138,139,142,62,62,62,63,63,60,74,100,89,102,113,119,118,114,102,102,100,103,106,109,115,124,132,139,136,140,141,142,62,61,61,62,62,64,63,69,71,81,91,90,108,119,114,110,107,111,113,107,93,89,81,113,144,138,143,144,62,61,61,62,62,64,67,68,68,75,81,78,85,102,101,99,93,106,125,129,112,96,79,55,114,148,140,145,61,61,61,61,62,63,66,69,68,75,86,93,97,98,97,96,82,104,123,126,117,108,102,75,64,130,146,143,63,61,61,61,62,64,65,68,68,75,85,92,101,108,110,109,104,131,128,122,125,122,114,99,76,67,136,148,63,61,61,61,62,64,66,67,70,76,81,93,101,105,115,117,132,151,117,107,135,119,124,118,96,61,71,144,62,61,61,61,63,65,65,68,70,71,106,111,107,107,100,115,144,114,103,84,139,106,131,132,100,77,53,83,61,61,61,61,63,63,64,67,67,72,132,125,125,131,119,93,98,84,58,65,130,92,134,132,102,81,64,51,61,60,61,60,61,63,64,66,68,75,104,106,129,147,132,97,96,98,74,74,106,106,128,127,103,85,66,59,61,60,60,60,59,62,64,66,68,75,84,96,115,136,113,99,115,109,105,106,101,99,89,102,96,80,64,59,59,59,59,59,59,60,61,63,66,74,85,92,103,102,86,102,115,110,110,119,117,96,65,69,79,71,66,62,59,56,57,58,59,60,60,62,65,74,85,93,92,128,108,80,93,111,116,119,117,90,64,63,67,65,67,68,58,56,56,57,58,59,61,62,65,73,84,95,90,145,142,82,38,52,99,109,111,86,65,67,67,65,69,69,58,56,55,56,58,58,61,61,65,75,84,94,93,133,133,79,40,30,44,92,91,71,65,68,68,68,70,70,58,56,55,55,57,58,60,60,65,74,84,94,93,131,134,65,59,65,34,65,90,69,67,70,75,73,71,67,56,55,54,54,56,58,60,58,63,71,83,92,94,126,132,53,95,82,67,72,86,98,86,83,77,73,70,66,55,54,53,53,55,56,58,59,63,72,81,90,90,126,138,42,95,124,62,99,90,92,76,72,68,67,67,67,50,49,48,47,50,49,51,52,55,66,77,87,86,132,128,43,81,145,74,73,129,65,67,63,54,58,59,59,97,94,91,88,86,85,84,84,86,90,95,100,100,119,84,56,109,128,76,88,135,109,124,99,47,44,46,45,81,80,79,79,77,78,80,83,83,81,79,75,74,79,60,68,86,83,74,84,88,91,89,89,64,48,48,56,72,71,70,69,69,69,70,69,69,70,70,66,65,68,73,73,69,69,72,72,70,68,68,69,73,69,73,72
22,162,167,170,172,174,176,179,181,183,183,184,186,186,186,184,186,188,186,187,185,184,185,184,183,181,180,180,179,166,169,173,174,176,179,181,183,186,183,189,189,188,188,194,181,172,190,187,188,187,187,187,186,183,182,181,181,168,172,175,176,180,181,183,185,187,199,165,183,193,187,216,176,126,196,189,189,190,191,188,188,186,185,184,183,169,174,177,180,183,184,185,187,193,220,130,168,200,190,219,172,131,197,191,193,172,176,193,187,188,187,187,187,171,175,179,182,185,187,188,188,195,213,135,161,203,193,210,163,138,200,192,199,151,138,200,189,191,189,189,188,174,177,181,184,186,188,190,191,193,217,150,149,206,196,204,166,146,203,197,208,145,143,202,192,193,191,191,190,175,179,183,186,188,190,192,196,193,221,170,145,205,199,209,175,149,204,203,210,139,159,204,194,195,193,194,193,178,181,185,189,191,193,195,198,195,222,191,141,200,203,202,170,147,205,213,209,132,179,203,196,197,195,195,195,180,184,188,190,192,195,196,199,196,222,194,130,189,206,200,165,148,209,220,202,130,194,203,199,199,198,197,196,180,186,189,191,194,197,199,201,197,225,220,139,171,210,213,161,150,217,220,176,130,205,203,201,201,200,198,197,182,186,190,193,196,199,201,204,199,216,220,145,165,216,214,151,160,229,228,148,145,214,202,203,203,202,200,199,184,188,192,196,197,199,203,204,222,211,198,165,160,191,209,144,182,236,213,128,177,214,206,206,204,203,203,201,185,189,193,196,199,202,202,210,246,202,213,227,206,158,157,207,209,217,183,123,201,211,208,207,206,205,205,204,186,190,194,198,202,203,204,214,238,192,150,233,229,179,114,171,188,193,149,136,216,209,209,209,208,207,206,205,188,193,197,200,204,206,205,220,224,212,129,136,220,208,157,108,138,152,116,160,220,210,211,210,208,209,207,206,191,195,198,201,205,209,205,233,230,192,150,92,149,230,198,138,106,113,103,188,220,212,211,210,209,209,208,208,192,197,200,203,206,210,207,238,216,173,142,144,141,215,231,177,136,109,103,200,219,214,212,212,212,209,209,209,192,198,202,204,208,210,209,243,228,181,164,174,178,242,226,190,162,110,104,213,218,216,215,214,213,211,210,210,194,200,203,206,210,212,212,246,222,178,168,190,221,255,212,178,151,100,112,223,217,217,217,215,214,213,212,211,195,200,205,208,211,214,215,246,227,194,187,188,241,243,205,159,139,96,142,230,217,219,218,217,217,215,213,211,196,201,207,209,212,216,216,243,233,205,195,189,251,228,190,150,129,93,171,232,219,221,219,218,218,216,215,213,198,202,207,210,214,217,216,239,230,212,205,195,240,210,177,143,121,91,183,232,221,222,221,220,218,217,216,215,199,203,208,211,214,217,217,233,235,220,215,197,231,195,167,138,112,92,196,230,222,223,223,221,220,219,218,217,199,204,208,212,215,219,220,225,234,223,219,197,229,186,160,128,109,101,209,228,223,224,224,223,222,221,220,219,200,206,210,213,217,219,221,224,234,218,204,180,210,177,160,135,103,123,230,226,226,226,224,223,223,222,221,219,201,206,210,215,218,220,222,224,237,209,182,180,210,165,170,141,91,170,237,227,228,227,226,225,223,223,222,220,202,207,212,216,219,222,222,225,250,226,205,203,211,159,177,118,101,221,232,229,228,227,228,228,225,224,223,221,201,207,211,215,219,222,222,225,252,237,222,216,202,158,166,99,136,237,230,230,229,228,228,227,227,225,224,222
0,179,179,180,178,180,181,179,181,181,181,182,183,181,181,181,179,181,181,181,182,181,181,181,183,180,179,179,180,180,179,180,179,181,183,183,185,183,182,179,181,181,181,182,181,182,180,182,184,181,182,183,183,183,180,180,180,181,181,181,182,183,185,185,183,184,185,182,184,185,185,184,185,185,182,183,184,184,183,183,182,184,180,180,180,183,183,183,183,185,186,183,182,178,157,174,187,175,182,187,181,179,187,190,186,189,185,182,184,185,182,180,180,184,185,185,185,186,186,182,190,186,118,71,130,149,125,140,170,155,127,160,178,171,183,189,185,184,185,183,182,183,186,185,187,186,186,188,183,185,122,26,67,160,102,48,126,155,78,47,118,105,88,126,182,186,182,185,184,185,186,186,186,185,183,181,146,167,136,67,49,137,91,33,94,127,65,25,98,100,44,34,105,185,185,184,185,186,187,187,187,185,179,171,136,124,158,112,31,91,93,22,85,114,51,26,112,97,42,42,85,112,198,184,185,186,188,188,188,187,181,170,144,100,110,106,23,74,90,8,70,132,66,19,119,119,48,50,123,68,135,198,185,186,189,188,189,190,181,168,142,102,72,63,31,78,73,0,80,132,49,29,137,130,102,86,96,80,52,188,189,188,189,188,190,188,180,171,161,133,82,56,47,62,47,11,66,98,61,126,146,129,116,88,62,50,42,180,190,189,190,191,191,189,182,178,167,154,124,68,47,40,52,71,68,101,148,160,148,136,106,84,69,39,59,192,189,191,191,192,192,191,184,184,172,163,152,110,53,49,61,70,101,154,165,164,156,138,101,74,64,31,85,205,187,191,191,192,192,191,179,190,181,174,168,142,92,84,74,80,133,162,168,176,162,132,97,70,59,25,135,204,188,191,191,192,193,193,168,188,191,182,178,158,129,118,103,91,135,150,170,180,163,125,91,69,47,51,184,194,190,192,192,193,191,196,170,173,195,194,187,167,149,138,125,110,123,156,176,172,156,113,78,73,36,113,203,190,192,191,193,194,192,197,180,156,192,199,192,177,161,148,139,127,119,141,169,166,144,105,72,68,34,166,200,191,193,192,193,194,193,192,197,145,175,196,197,185,169,159,150,132,119,126,149,149,122,89,70,48,58,196,193,193,192,194,194,196,195,192,202,161,151,194,198,187,163,158,146,130,121,121,135,134,98,74,64,25,120,207,189,194,195,194,194,194,196,198,195,191,140,189,196,175,151,158,141,133,124,106,112,120,87,70,41,60,192,196,192,194,195,195,195,195,197,197,195,196,158,191,195,177,163,172,154,137,120,95,96,102,85,57,34,160,202,195,197,196,196,195,196,195,197,196,196,197,164,192,200,188,170,182,160,135,120,95,86,92,84,35,103,205,193,197,200,197,196,195,196,195,196,196,196,199,156,182,200,194,176,179,156,132,116,97,83,86,80,28,156,203,194,197,200,197,197,196,196,195,196,196,198,201,155,179,201,195,177,168,152,130,113,101,83,79,68,39,180,197,196,197,198,197,197,194,195,195,195,196,197,195,171,186,198,193,180,165,151,133,113,101,85,71,57,53,199,197,196,197,196,197,197,194,195,196,196,197,198,186,177,195,184,187,176,162,148,133,113,99,84,67,53,68,205,194,197,197,197,197,197,194,195,197,198,196,198,183,176,186,183,186,166,152,144,131,112,94,76,64,44,94,201,190,197,197,197,197,197,195,196,197,197,195,199,180,170,182,186,185,165,144,135,127,110,88,65,59,34,128,197,192,198,197,198,197,197
6,227,227,228,229,229,230,229,229,231,232,232,232,232,231,232,233,230,231,232,233,232,231,230,230,229,228,228,228,228,228,229,231,231,231,231,231,231,231,231,232,234,234,234,234,234,234,234,234,233,234,232,231,232,230,229,230,229,229,231,231,231,231,233,233,232,231,231,232,234,235,235,235,234,234,236,236,236,236,234,233,232,230,230,232,229,230,231,232,232,232,234,235,235,235,234,233,235,235,237,239,239,238,236,238,236,234,234,236,231,234,233,232,230,232,232,232,235,235,235,235,235,236,239,237,237,237,235,229,222,224,222,224,218,209,192,193,216,211,231,235,232,233,233,234,235,235,235,236,237,235,232,229,219,218,221,212,216,220,239,238,224,212,195,182,198,172,224,238,231,233,233,235,236,238,237,231,220,212,215,215,215,233,234,218,206,209,213,202,185,164,155,159,168,194,239,237,230,232,234,237,236,234,230,223,212,200,198,205,209,202,191,170,154,145,145,161,173,186,203,221,233,240,238,237,231,232,234,231,230,228,226,227,212,186,159,149,142,127,124,125,130,174,222,239,244,246,245,242,240,238,237,237,230,230,228,223,220,223,225,224,221,202,149,109,96,102,135,177,220,247,244,242,239,237,238,239,239,238,236,236,230,222,219,221,224,220,224,229,228,190,141,105,98,103,133,242,248,236,240,240,238,238,239,238,238,238,236,235,219,219,221,220,219,224,232,232,196,138,121,105,98,108,104,129,224,249,238,240,239,239,238,238,238,237,237,237,221,223,219,220,220,228,227,227,212,180,131,96,96,116,112,96,103,213,249,240,240,240,240,241,240,238,238,238,229,223,220,224,227,225,226,240,241,207,144,97,89,107,130,127,104,107,238,244,242,243,242,241,239,238,238,238,224,225,225,221,225,231,229,244,232,181,132,102,99,98,106,115,120,88,198,252,240,242,241,242,241,239,239,239,227,226,223,221,224,227,223,230,220,168,120,101,102,102,89,92,99,121,228,252,247,246,247,247,246,245,241,237,229,223,218,216,211,213,216,222,220,185,129,87,96,108,109,106,88,179,220,220,224,228,231,229,223,222,235,243,224,220,218,217,213,217,222,229,234,200,131,91,80,92,130,106,98,117,115,121,124,122,116,128,172,214,248,248,219,226,224,220,221,226,229,237,230,181,113,96,97,85,95,111,113,118,114,112,104,135,172,210,247,246,255,255,222,223,217,215,215,210,205,216,189,146,115,103,101,97,95,121,134,117,129,147,193,247,255,236,219,228,230,245,216,207,202,205,194,182,180,182,157,133,119,113,108,96,99,111,142,204,236,244,253,237,228,230,217,207,222,227,199,201,194,183,173,168,167,161,139,118,113,116,114,101,112,173,252,255,255,246,232,215,204,207,214,202,194,198,173,178,175,163,155,146,132,130,130,118,120,114,117,158,231,255,255,238,236,231,214,196,192,192,203,198,186,191,124,131,131,128,117,111,112,116,118,122,110,154,230,255,255,255,246,231,225,230,202,175,185,185,189,192,186,186,94,94,103,106,108,115,119,120,124,105,173,251,255,255,247,239,227,225,225,226,193,154,173,179,173,186,180,176,106,107,118,121,115,117,120,121,104,183,255,239,242,226,236,229,211,218,225,227,188,140,154,169,170,177,172,180,114,115,116,115,115,117,116,105,189,255,232,222,223,223,232,216,200,204,220,224,191,134,134,157,164,168,178,173,115,114,114,114,116,114,127,205,255,235,222,209,220,223,228,206,190,191,210,226,193,137,126,146,162,171,183,163
14,99,104,108,112,116,119,121,123,126,128,130,132,136,136,136,136,139,140,142,144,145,145,145,147,147,147,148,148,101,105,109,113,117,120,122,125,127,129,132,134,138,137,140,142,144,145,144,145,145,147,147,148,148,148,149,149,102,106,112,117,118,121,124,127,128,129,131,133,134,142,117,113,128,131,146,150,151,148,148,149,149,148,151,151,104,107,112,117,119,121,125,129,130,128,137,141,142,132,71,61,113,119,137,113,126,155,150,149,149,148,151,151,104,107,112,116,119,123,126,127,130,150,152,133,107,86,65,54,98,125,114,56,92,163,149,153,153,153,153,153,105,110,114,118,121,124,125,131,164,165,128,65,41,48,64,61,74,84,81,44,44,146,155,153,155,155,155,155,106,110,115,121,123,125,125,171,170,130,85,34,9,18,43,58,90,82,89,97,68,106,151,155,156,156,155,155,106,110,116,121,125,122,137,184,123,65,29,37,27,44,56,23,46,72,78,111,121,86,98,165,154,157,156,156,108,113,118,122,126,120,165,168,89,30,22,35,29,65,53,31,55,72,86,75,82,50,56,162,157,156,158,158,110,115,119,121,124,129,184,140,77,22,19,19,21,43,29,58,78,36,81,102,91,79,66,95,164,161,158,159,110,114,118,122,119,151,179,111,43,16,27,34,33,19,24,67,64,51,147,165,151,111,87,62,114,152,160,158,110,116,119,125,122,174,150,86,46,41,34,42,38,39,45,34,52,136,162,156,160,160,121,115,77,139,166,160,111,117,121,121,141,187,138,89,67,42,34,37,37,48,54,27,114,168,155,157,163,144,129,111,72,162,161,162,111,117,123,119,171,184,131,85,54,37,32,31,36,47,40,62,161,157,159,160,161,130,132,75,104,173,160,162,111,117,123,120,179,169,121,84,43,29,29,33,41,45,25,86,168,153,160,163,156,123,125,55,109,175,162,163,112,118,124,122,185,164,112,67,33,29,32,37,44,32,22,64,161,162,162,161,113,117,119,60,88,175,161,164,112,119,121,132,191,151,111,70,38,32,36,41,46,45,53,59,100,150,152,129,126,128,114,57,102,175,162,164,113,121,118,147,192,147,109,68,41,30,34,48,52,62,79,91,80,76,105,129,140,133,87,87,163,165,163,163,113,121,115,161,188,143,107,67,43,33,36,48,60,75,90,102,105,92,128,134,133,99,92,165,167,164,164,164,113,121,116,172,179,141,108,74,49,35,39,52,76,91,106,106,108,102,121,129,92,90,164,169,166,168,166,165,113,120,119,181,170,138,107,78,56,39,38,63,95,109,119,118,107,102,98,89,75,160,170,166,168,168,166,166,114,119,125,180,159,135,104,84,59,41,39,73,113,117,116,117,112,100,59,63,153,168,164,168,167,167,168,168,114,118,133,177,150,128,109,89,63,44,41,83,120,113,113,112,113,72,70,153,170,164,167,168,168,168,168,168,117,117,141,173,142,130,117,91,71,51,45,82,120,112,96,106,84,71,160,170,165,168,168,169,169,169,168,167,116,115,153,175,143,138,121,93,73,59,44,70,106,98,84,85,66,146,172,166,168,167,168,169,169,169,168,168,114,115,172,176,150,143,119,93,73,58,43,60,87,78,84,53,132,171,164,168,167,167,168,169,169,169,169,169,115,124,187,168,158,141,105,82,66,48,46,60,67,60,75,129,171,162,166,169,169,169,169,170,170,170,170,170,109,145,186,156,153,128,84,70,57,46,54,56,46,64,138,170,163,164,166,169,169,170,170,170,170,170,170,170
14,165,167,170,172,172,173,175,175,176,176,177,176,177,176,175,174,174,172,172,172,170,170,169,167,166,165,164,163,167,170,172,174,174,175,178,179,178,179,179,178,181,179,179,179,177,176,175,174,173,173,171,170,168,168,168,166,170,172,174,176,177,179,180,180,180,181,181,181,183,183,180,182,179,179,178,177,176,173,173,173,171,172,170,169,171,173,175,178,179,181,183,183,184,184,184,184,182,181,183,185,184,180,179,180,179,177,176,175,173,173,172,171,172,175,178,179,181,183,186,187,186,187,186,186,198,173,164,174,173,187,183,181,181,180,179,177,176,174,174,173,173,176,180,181,183,185,187,188,187,188,191,207,198,177,161,157,142,153,185,185,183,182,181,181,179,178,177,176,177,179,182,185,187,187,188,190,191,192,210,206,200,182,187,170,137,104,117,195,185,185,184,182,181,180,179,178,180,182,184,186,189,189,188,192,190,204,213,209,184,90,161,162,152,111,49,132,197,185,186,183,182,182,181,180,181,183,185,187,189,192,190,194,198,218,176,125,112,68,62,78,169,158,57,69,186,189,187,186,185,183,182,182,182,185,188,191,193,195,194,213,227,211,157,97,53,48,39,18,139,190,116,61,168,196,188,188,187,185,184,184,186,188,189,192,196,193,205,229,211,166,132,105,66,25,48,23,71,137,114,60,135,202,189,190,188,187,186,185,187,189,191,194,195,193,228,223,193,133,74,70,58,40,27,63,178,155,158,103,106,204,190,192,191,189,188,187,186,188,192,196,190,224,235,209,192,132,77,41,44,26,85,192,203,193,167,81,104,205,194,195,191,191,190,188,188,192,197,189,215,241,216,208,170,116,89,47,28,62,203,209,196,175,153,70,90,210,195,198,196,194,193,191,191,195,194,203,245,231,218,201,163,129,83,28,14,102,189,209,201,159,143,78,49,173,205,197,198,196,195,193,194,198,192,233,247,229,212,189,159,112,66,29,45,51,57,185,175,137,133,96,61,124,215,198,200,197,197,195,196,194,209,250,240,223,204,185,134,88,49,54,80,82,77,86,116,150,137,92,62,168,210,201,201,199,198,197,195,194,237,244,228,213,193,166,114,87,54,85,99,102,108,90,106,141,123,61,142,215,203,204,202,201,201,199,197,215,250,231,220,199,186,154,115,87,75,99,104,108,100,106,100,131,75,112,215,203,205,204,203,202,201,199,170,247,248,224,204,194,174,150,123,82,84,104,104,102,88,109,93,65,99,214,209,208,208,206,204,204,202,201,67,153,232,213,180,165,147,132,90,74,82,92,99,91,85,87,46,83,206,214,209,209,209,208,205,205,204,202,71,57,101,161,174,136,99,63,51,67,67,75,87,77,61,86,146,212,218,210,212,210,209,209,208,206,205,203,61,64,55,66,81,74,59,46,45,50,51,49,50,56,121,212,228,216,214,214,212,212,211,210,209,208,205,204,58,56,60,60,13,12,24,20,17,20,11,58,119,172,227,219,216,217,216,216,215,213,212,211,210,209,207,205,55,55,50,60,46,0,14,11,6,6,0,32,208,234,217,219,220,219,217,217,216,214,213,212,211,210,209,207,53,49,48,53,52,0,2,8,6,5,1,12,198,226,220,221,221,220,219,218,217,215,215,213,212,211,210,209,41,45,41,49,53,0,0,3,2,6,0,90,243,219,224,223,222,221,219,219,218,217,217,216,214,211,210,210,54,88,32,55,33,0,1,0,0,2,0,148,240,219,224,223,222,221,220,220,219,217,217,217,215,212,212,211
5,163,164,166,167,170,170,170,171,171,170,170,170,171,168,169,168,168,167,166,165,163,162,161,159,159,158,157,155,166,167,168,169,172,172,172,173,172,172,171,171,173,171,170,170,170,169,167,166,164,164,163,161,161,159,157,157,167,169,171,172,173,174,174,174,175,175,174,181,143,165,173,172,172,172,170,168,166,165,165,164,163,161,160,159,170,170,172,174,175,176,176,178,178,176,179,189,115,141,177,174,173,172,171,169,169,167,167,166,164,164,163,161,172,172,173,175,176,182,178,146,182,177,187,184,99,142,179,176,175,173,172,172,171,169,169,167,166,166,163,161,173,174,175,178,177,196,160,108,181,179,189,160,91,164,181,178,177,176,174,174,173,172,171,170,169,168,165,163,174,176,179,178,182,201,124,112,185,182,178,142,98,180,181,180,178,176,184,150,159,176,173,172,171,169,167,166,176,177,180,180,193,179,88,158,189,176,158,122,111,185,183,179,177,188,173,109,139,180,176,174,172,171,169,169,178,179,181,180,209,173,89,181,188,162,144,96,139,188,170,168,171,153,108,111,171,179,178,177,174,172,170,169,180,181,182,184,221,161,92,184,184,153,132,85,167,147,153,170,124,90,128,174,181,179,179,178,175,173,172,170,181,183,185,190,218,133,92,193,164,157,137,95,117,113,133,121,92,144,187,183,181,180,179,178,177,174,173,172,182,185,187,189,213,184,97,157,145,147,117,85,88,98,81,103,157,187,186,185,182,181,180,180,179,177,174,172,185,188,190,190,208,204,128,99,112,118,91,76,98,89,102,183,191,187,185,186,183,182,181,181,180,179,176,174,187,189,191,192,201,207,171,122,105,106,84,73,100,95,167,195,189,188,187,187,185,184,183,181,181,180,177,175,189,191,193,194,196,228,206,155,104,91,89,87,88,153,189,175,177,190,191,189,188,187,185,183,182,181,179,177,191,193,195,196,198,229,207,150,99,83,80,91,94,133,137,146,154,159,170,177,183,188,187,185,184,182,180,179,193,194,197,198,204,226,196,141,88,75,74,91,99,109,142,147,176,172,170,174,175,139,176,188,185,183,182,180,195,196,198,196,215,225,205,149,94,70,70,90,100,96,116,96,132,155,154,166,163,121,162,193,186,185,183,181,196,198,200,199,226,220,202,143,99,73,70,81,82,77,101,106,163,166,150,168,190,144,138,193,188,186,184,182,197,200,199,211,225,212,197,140,99,69,62,72,67,146,199,198,203,199,190,196,158,108,182,193,190,188,185,182,199,201,200,225,218,213,194,140,91,67,66,81,90,105,175,210,194,167,168,173,95,142,200,193,192,190,188,186,200,201,209,231,215,210,184,121,84,64,79,87,98,106,112,152,160,174,164,127,63,176,200,196,193,190,189,187,202,195,226,227,211,207,169,108,84,72,100,116,126,121,107,119,154,162,140,85,95,195,200,198,195,193,191,189,196,104,138,212,218,194,153,108,84,88,113,127,128,115,110,109,138,123,91,126,193,202,201,200,196,194,192,189,121,70,66,100,178,181,145,114,85,94,121,118,111,95,104,91,81,100,169,207,204,202,202,200,196,194,193,191,78,71,67,63,71,108,124,93,71,80,105,103,93,83,80,69,120,198,210,207,205,203,202,200,198,196,194,193,79,67,62,64,60,57,45,39,43,52,67,77,71,64,125,186,213,210,208,208,208,206,203,201,199,196,194,194,69,62,60,59,54,58,34,21,30,31,34,38,56,145,215,215,213,211,210,209,208,207,204,201,200,197,195,195
1,168,169,170,171,170,173,174,173,175,176,176,173,159,171,174,173,172,172,171,171,170,169,169,166,165,164,163,162,171,173,172,173,176,177,177,177,178,181,184,178,132,119,183,177,179,176,175,176,174,173,172,171,171,170,168,165,174,176,177,177,179,179,179,182,182,169,163,190,152,71,102,124,181,182,179,180,179,177,177,175,173,173,173,170,177,179,180,180,182,183,184,184,186,161,91,173,168,60,80,99,130,195,179,182,180,180,178,178,176,174,174,173,179,182,183,183,184,186,188,187,187,179,93,143,174,69,90,125,74,191,186,186,184,183,182,180,180,178,177,177,181,184,186,188,188,188,188,191,189,191,107,109,181,95,102,141,65,170,194,187,187,185,186,185,182,181,180,181,185,187,187,188,189,190,192,180,177,198,127,88,161,95,111,161,79,146,201,188,190,189,188,188,187,186,184,182,187,189,189,189,191,193,196,158,111,197,145,69,143,97,100,159,86,133,206,191,193,191,189,189,189,189,187,183,189,190,191,192,193,195,197,175,89,175,149,62,151,126,68,162,106,121,207,192,194,193,192,193,192,191,189,189,190,192,194,195,196,196,199,179,92,159,173,76,126,138,65,158,140,112,209,194,196,195,194,195,194,194,192,191,192,195,195,196,197,197,201,184,95,146,185,81,80,121,109,154,111,96,199,200,199,198,196,196,197,196,195,195,193,198,198,197,200,199,201,188,111,105,176,82,84,112,114,138,88,84,87,127,211,197,197,197,197,195,195,195,197,198,200,200,203,203,199,197,127,78,154,110,116,105,117,131,121,95,59,66,187,205,200,200,198,196,196,197,197,199,201,202,203,205,200,194,144,119,134,107,118,105,138,165,120,70,112,99,125,215,199,201,201,198,197,196,199,202,203,204,204,205,206,201,166,131,121,100,114,117,143,155,127,126,183,148,96,196,205,202,202,202,200,199,200,202,205,205,206,206,207,208,173,126,105,97,110,121,153,162,165,157,141,161,89,138,217,200,202,202,201,202,202,203,205,205,207,208,206,211,186,134,92,99,114,126,169,171,195,193,153,121,68,72,212,204,203,203,202,202,203,205,207,208,208,211,207,209,209,155,100,103,117,147,168,177,189,181,152,117,62,56,202,209,207,203,203,204,203,205,208,210,208,211,210,206,218,184,129,97,120,157,174,192,196,178,151,126,57,87,216,206,208,206,205,205,204,206,209,212,212,213,215,201,221,209,162,113,114,146,184,205,198,181,167,123,48,131,226,207,210,209,208,206,205,207,210,212,214,214,217,201,216,219,183,134,123,142,184,210,202,194,164,106,47,173,221,209,211,210,209,206,207,210,211,213,214,213,216,207,202,213,199,148,135,141,179,199,212,193,144,84,62,208,214,212,212,212,211,207,207,212,211,213,214,213,215,216,186,199,200,162,135,134,168,192,193,162,114,56,97,229,214,213,213,212,212,210,205,209,210,212,213,213,214,219,193,178,185,164,144,136,146,163,152,113,73,45,172,225,213,213,213,212,212,211,206,210,210,212,213,214,214,215,212,171,173,166,151,145,121,124,129,94,43,113,225,214,215,213,213,212,211,208,207,211,211,211,213,214,216,216,220,188,181,163,143,139,108,108,114,73,46,194,221,214,214,213,213,212,211,208,208,210,211,212,213,214,215,216,219,193,183,152,134,136,118,109,93,50,83,223,214,216,215,214,214,214,213,209,208,210,212,213,213,214,214,216,222,190,193,180,158,157,132,117,83,40,109,229,215,218,218,215,214,214,213,210
2,193,193,194,194,194,194,193,193,193,190,189,189,188,187,186,186,186,181,181,181,180,177,177,174,173,171,170,169,195,196,196,195,195,195,195,194,194,193,193,191,190,189,187,187,188,184,185,184,182,179,177,176,175,172,170,168,196,195,197,197,196,195,196,196,195,194,193,193,193,192,188,190,190,188,187,185,184,181,178,177,176,175,172,168,198,198,198,199,197,198,199,197,196,196,196,193,190,186,187,184,183,189,189,188,187,183,180,178,176,175,174,170,200,201,200,200,199,199,199,199,197,198,195,204,197,180,182,177,157,161,166,171,174,178,183,182,177,176,176,173,202,203,202,201,202,201,200,201,201,197,209,235,226,219,219,217,196,165,135,119,118,158,171,176,179,178,176,174,202,203,202,202,202,201,203,202,202,190,194,209,201,192,197,204,199,194,166,123,128,160,127,139,187,177,177,176,203,204,204,204,203,203,205,199,206,220,207,212,216,201,181,167,141,152,174,168,187,142,96,158,187,179,178,176,205,206,207,205,205,205,203,207,235,223,212,210,213,209,198,191,155,160,165,141,147,114,136,191,183,182,180,177,206,207,208,208,207,206,203,232,219,169,152,168,182,169,168,206,165,151,166,104,127,152,184,188,184,182,182,180,207,207,208,209,208,207,227,230,183,185,202,206,206,186,183,194,132,105,127,141,194,194,192,193,190,184,182,182,208,208,209,209,209,212,237,208,206,229,232,203,173,158,139,132,148,185,187,196,196,198,186,163,152,175,187,182,209,208,209,210,209,219,222,221,220,202,173,146,110,95,69,123,212,200,203,196,199,161,108,90,88,101,174,186,210,210,210,210,210,221,226,233,196,146,112,86,77,72,60,74,202,201,197,205,152,84,92,103,108,82,154,191,209,210,211,208,206,228,241,209,161,114,83,70,70,66,69,53,119,215,210,178,89,97,110,116,107,115,179,186,209,210,212,207,203,247,234,175,122,96,79,66,69,69,69,69,61,123,187,123,85,117,117,104,133,178,188,185,211,211,213,205,214,253,208,148,109,100,73,64,71,69,69,73,76,56,65,95,99,113,102,131,192,190,186,185,212,212,214,203,215,233,181,133,109,90,64,69,73,79,80,84,89,85,65,97,105,100,105,181,196,190,188,186,211,212,213,203,211,222,175,130,101,81,66,71,80,89,91,98,101,105,86,99,108,97,138,201,193,192,190,187,208,209,212,196,214,225,175,131,100,86,68,72,85,98,104,109,114,118,103,94,110,97,170,200,193,193,190,186,210,210,215,187,216,217,170,135,109,94,76,73,89,106,118,122,125,124,112,96,102,148,195,194,192,189,184,185,211,211,218,191,214,209,166,136,111,101,89,75,94,114,121,124,128,121,106,104,161,197,196,194,190,190,212,231,210,211,216,190,207,206,170,139,117,109,96,77,94,114,120,121,120,117,97,146,206,196,196,193,214,219,254,255,209,211,216,191,204,201,164,138,124,113,98,81,99,108,111,112,110,99,123,192,199,198,192,242,255,239,225,255,214,216,219,196,201,198,159,139,121,110,100,88,103,102,104,105,99,126,191,206,205,193,229,255,255,255,229,226,180,180,186,171,198,195,160,138,116,108,103,98,102,101,99,102,129,177,187,185,173,223,255,255,255,245,255,213,99,100,97,114,213,189,155,127,114,110,108,102,94,101,105,91,94,94,97,81,168,255,255,255,249,229,254,250,99,104,94,149,213,182,154,123,113,111,108,103,93,102,100,90,90,93,81,138,255,255,255,255,240,217,247,249
6,130,131,131,132,133,133,134,135,135,136,135,135,134,135,134,134,135,135,135,135,136,134,134,134,132,131,131,132,135,136,135,136,137,136,136,136,137,137,137,137,137,137,137,137,138,138,137,137,138,137,136,135,134,134,134,133,138,138,138,138,139,139,139,139,139,141,141,141,140,140,140,141,141,140,140,139,140,140,138,137,138,137,137,130,140,140,141,142,141,142,142,141,142,143,143,142,142,143,143,144,143,142,142,142,141,142,140,140,142,140,142,120,143,143,143,143,143,144,144,144,145,146,145,145,149,146,144,145,145,144,146,146,145,143,147,144,142,142,143,136,146,145,146,146,146,147,147,147,148,148,151,137,126,150,149,149,147,147,142,145,137,146,179,142,139,146,144,141,148,149,149,149,149,150,151,151,151,148,163,125,65,130,142,139,147,148,136,141,142,132,150,116,141,148,146,146,150,151,152,152,151,153,154,155,154,156,166,126,129,146,139,133,147,143,134,119,110,95,92,128,150,148,149,147,152,153,154,154,155,155,158,157,154,154,157,161,166,153,131,124,103,92,83,79,90,119,149,155,151,151,150,149,155,156,156,157,157,158,153,148,150,154,159,158,140,120,102,80,80,95,117,144,157,161,157,153,153,152,151,150,157,157,159,159,160,158,145,142,143,144,133,105,81,68,79,129,154,159,163,160,157,158,157,156,155,154,154,152,159,159,160,159,166,166,161,160,127,98,99,88,69,80,140,164,167,164,160,161,160,160,160,158,157,156,155,155,161,161,161,160,171,172,181,150,99,90,91,104,111,110,101,102,119,146,167,162,162,162,162,161,160,159,158,157,163,163,162,166,177,177,185,137,110,121,98,93,105,114,104,100,95,75,146,170,163,163,164,163,162,160,160,159,164,165,164,174,185,182,182,173,175,159,108,84,94,102,93,87,92,62,129,176,165,166,165,164,162,162,162,161,166,166,167,179,186,181,182,184,186,165,114,80,93,101,103,94,85,68,124,177,166,167,167,167,165,164,164,163,168,168,170,178,183,182,181,181,177,171,149,118,89,77,95,100,96,80,75,172,169,168,168,168,168,167,167,166,169,169,167,182,180,184,180,181,179,181,183,154,99,73,90,96,90,72,88,177,170,170,168,169,170,169,168,168,169,168,169,182,185,186,184,184,180,181,185,148,102,85,85,88,84,71,80,165,174,171,170,171,171,170,169,169,173,166,176,183,186,188,191,184,178,182,169,128,96,90,86,86,83,81,55,141,182,172,172,171,171,170,170,170,174,160,176,184,185,189,187,175,175,169,144,115,99,92,76,83,84,75,83,170,177,174,174,173,172,172,172,171,170,158,178,184,185,187,173,168,167,150,127,107,111,115,77,62,63,69,159,180,174,175,175,175,174,174,172,172,163,166,185,181,180,174,162,160,160,146,127,120,116,120,58,40,67,150,184,176,177,176,176,174,175,174,174,173,157,171,182,178,173,167,158,156,152,144,135,126,103,80,111,138,173,185,180,179,177,177,177,175,176,176,175,174,155,175,180,168,165,158,161,161,147,136,131,109,73,108,195,185,182,181,181,180,180,179,179,178,178,176,176,175,162,174,173,166,162,150,156,155,140,130,115,91,67,165,185,181,181,180,180,181,181,180,179,179,179,178,177,176,166,170,164,162,156,144,146,140,130,116,96,71,115,191,182,183,183,182,181,182,181,181,181,180,180,180,178,177,166,168,169,163,151,143,138,131,112,93,76,78,175,185,181,183,183,183,182,183,182,182,182,181,180,181,180,178
21,171,173,175,179,182,183,183,184,185,188,188,186,187,186,187,188,188,187,186,186,186,185,185,184,182,182,181,180,173,175,178,180,182,183,186,187,187,188,188,188,186,188,190,190,189,188,188,188,188,187,186,185,185,183,182,181,175,177,179,181,184,185,187,188,188,188,216,191,167,191,193,193,192,191,190,190,190,189,188,188,186,185,185,184,177,179,182,184,187,187,188,189,191,191,227,211,148,180,195,193,193,193,194,193,193,192,191,192,189,188,187,185,179,181,184,186,188,189,190,193,194,191,208,230,159,157,197,195,195,196,195,195,194,194,195,181,191,190,190,187,181,183,185,188,190,193,193,194,195,194,196,235,201,159,189,196,198,198,198,198,195,206,196,136,186,193,192,191,182,184,187,190,192,194,194,195,196,197,194,229,231,169,170,201,200,200,199,200,195,221,185,128,190,195,194,193,184,186,189,192,195,196,196,198,199,199,198,217,241,180,152,200,202,200,201,199,208,225,167,145,199,196,196,195,185,187,191,193,196,197,198,199,200,200,201,206,242,196,150,193,203,202,202,200,226,215,151,172,203,198,197,196,187,189,192,194,197,198,199,200,201,202,203,221,229,210,148,176,207,205,203,209,224,193,135,192,202,200,200,198,188,191,194,196,199,200,201,201,201,200,214,251,229,208,154,134,201,208,205,227,218,163,147,206,202,201,201,199,190,193,195,198,200,201,202,203,204,220,223,225,235,209,181,151,171,207,214,229,210,142,184,207,204,203,202,200,192,194,197,200,201,201,203,206,209,246,225,203,237,225,218,209,162,162,199,206,176,141,207,206,206,204,202,201,194,196,199,201,202,204,206,205,217,223,224,207,170,171,228,220,168,121,155,165,134,170,212,208,208,206,204,202,195,198,201,202,205,207,209,206,222,224,174,150,110,105,178,227,185,129,123,134,121,199,211,208,208,208,206,205,196,200,202,203,207,209,210,208,227,213,174,170,138,123,137,233,213,152,111,113,131,213,211,210,208,208,206,206,198,200,202,205,207,209,210,208,235,236,210,177,144,146,140,223,234,173,118,101,150,218,213,213,211,210,209,208,199,201,204,206,209,210,211,211,244,238,190,162,148,165,169,234,244,194,137,99,157,218,214,213,212,211,211,210,201,203,206,207,209,211,213,214,245,225,184,169,175,184,198,252,242,200,152,108,156,221,214,214,213,212,211,212,201,204,207,208,211,213,214,215,247,237,204,190,189,196,227,255,235,197,155,109,158,222,216,216,215,214,213,213,201,205,207,208,210,212,214,214,247,242,215,193,202,210,243,255,235,190,158,113,159,224,217,217,217,216,215,214,201,205,207,208,210,212,215,213,244,248,223,198,204,222,253,252,234,189,155,113,167,223,217,217,216,215,215,214,203,205,207,209,211,214,215,214,241,251,225,212,208,232,255,244,225,185,151,110,174,224,217,217,217,216,215,213,203,206,208,210,213,215,217,217,237,253,232,231,221,237,255,241,217,184,144,108,171,227,220,219,219,219,217,216,204,206,208,213,214,216,217,217,227,253,241,239,233,229,245,224,207,179,135,104,172,228,221,221,220,220,220,212,204,207,210,214,216,219,220,220,221,248,248,242,230,219,227,206,194,175,129,100,182,228,222,223,224,225,215,149,205,208,211,215,217,219,221,222,220,240,251,237,212,196,205,198,188,177,123,99,207,228,224,225,218,175,129,100,186,192,196,199,201,204,207,212,200,209,247,225,193,173,186,201,181,167,108,114,227,225,226,217,149,108,100,92
21,48,56,70,85,93,101,106,110,114,115,118,124,126,128,130,132,134,136,137,138,138,139,139,140,140,140,140,140,49,59,73,87,95,102,108,109,116,142,83,93,133,129,132,135,136,137,138,140,141,141,142,142,142,142,142,141,50,58,76,89,98,104,109,110,123,155,72,72,137,129,135,137,138,139,139,142,142,143,143,144,144,144,144,144,52,59,77,91,99,105,110,113,124,152,83,68,135,132,136,139,140,140,141,143,147,146,146,146,146,145,146,145,55,61,78,93,100,107,112,115,123,147,89,63,131,135,137,138,141,143,145,141,113,139,150,148,148,147,146,147,56,64,81,93,103,109,112,117,123,148,102,64,128,138,138,142,143,143,149,125,63,114,157,149,150,150,149,149,57,66,83,94,104,110,115,119,123,147,109,63,119,142,140,143,145,149,145,106,66,141,155,150,151,152,152,151,59,68,84,96,104,112,118,121,121,147,111,64,102,146,141,144,145,155,133,82,90,161,150,152,152,153,152,151,58,69,86,97,104,112,118,122,122,157,119,67,94,148,142,143,151,149,117,71,134,159,154,154,154,154,153,153,59,70,90,99,105,112,118,122,123,166,128,78,95,148,142,146,149,130,91,86,160,153,156,156,156,155,155,154,60,73,90,99,108,113,118,121,122,152,115,76,88,150,143,151,148,122,65,125,161,155,157,157,157,157,157,156,61,74,91,100,108,114,123,139,105,125,93,64,83,152,142,149,146,100,79,159,156,157,158,158,158,158,158,158,62,76,93,102,109,108,148,176,106,87,67,52,79,135,135,142,131,66,124,164,157,158,159,159,159,159,159,158,64,78,94,102,111,110,141,149,101,61,46,53,86,124,130,125,86,73,160,157,158,160,160,160,160,160,159,159,63,79,95,103,106,137,159,110,93,67,35,43,73,106,111,95,54,120,165,157,159,160,160,160,161,161,160,160,65,82,95,103,110,180,154,137,112,100,50,37,64,82,95,75,68,157,158,160,160,161,162,162,161,161,161,161,66,83,97,101,131,153,146,165,154,117,66,41,55,65,80,54,106,166,157,160,161,162,162,162,162,162,162,162,68,86,98,100,147,133,140,162,160,94,56,47,46,60,61,46,136,164,160,161,162,162,162,161,163,163,162,162,69,85,96,105,160,123,105,88,116,88,63,53,47,46,52,48,140,164,160,163,163,164,165,165,164,163,162,162,70,87,96,114,155,102,90,87,101,99,73,53,47,47,48,44,136,166,161,164,164,165,166,167,166,164,164,164,71,89,94,125,160,125,121,96,97,132,81,62,55,50,45,46,141,166,163,164,165,165,166,166,166,165,165,165,74,90,93,128,157,140,118,93,160,174,97,83,66,46,44,48,148,165,163,165,166,166,166,167,167,166,166,166,74,90,93,129,170,142,107,115,184,153,106,85,70,45,41,61,158,162,164,166,166,166,166,167,167,166,166,166,75,91,95,126,164,120,111,124,167,125,96,76,70,52,37,81,167,161,164,166,167,167,167,168,168,168,167,167,77,91,98,119,148,116,126,117,155,119,105,74,62,52,34,100,169,161,164,166,167,167,168,169,169,169,168,167,78,90,98,113,132,133,142,116,156,120,105,91,55,49,37,113,171,161,165,167,168,169,170,169,169,169,169,168,76,87,99,107,132,154,126,112,155,111,88,78,53,45,41,134,164,160,165,167,166,167,168,168,168,168,168,168,76,87,98,105,125,149,126,103,129,97,71,57,47,39,47,145,161,160,163,163,164,166,167,168,168,168,168,168
4,188,191,192,193,194,194,196,197,196,196,199,198,198,199,199,199,198,197,198,199,198,198,198,197,198,199,197,196,191,193,194,195,195,197,198,198,200,199,199,199,201,201,201,200,202,205,200,200,201,200,201,201,200,201,200,199,195,195,195,197,199,199,201,200,201,201,200,199,199,202,206,192,164,176,206,203,205,201,203,203,203,202,203,202,196,196,197,199,200,201,202,202,201,200,204,183,163,178,236,203,163,107,194,210,205,210,203,206,204,202,203,205,199,198,200,202,202,203,202,204,205,209,238,202,191,148,227,218,178,127,137,179,162,177,213,206,208,204,206,207,201,202,202,204,206,205,203,203,191,196,236,235,190,151,183,232,173,139,78,167,161,110,183,215,208,210,209,209,202,204,203,207,209,206,206,216,208,195,157,221,212,163,151,233,182,137,71,173,174,118,107,220,210,212,212,212,202,205,206,208,210,205,213,234,224,210,122,126,220,154,121,232,194,133,64,173,179,127,82,207,215,213,213,214,205,208,208,209,210,207,220,209,201,190,112,95,180,150,116,181,164,106,66,181,174,119,77,206,220,215,216,216,207,209,211,212,212,209,220,210,178,190,107,75,179,162,133,135,114,67,61,177,152,89,92,218,219,216,217,217,208,210,211,214,214,210,216,220,165,179,129,81,158,178,172,153,153,119,73,132,119,77,97,226,216,220,218,218,209,210,212,213,217,215,216,236,209,164,144,88,101,194,205,207,192,171,114,77,96,74,115,233,217,222,220,220,212,212,215,216,218,217,218,236,213,171,120,71,64,152,198,206,205,168,115,67,75,66,140,237,219,220,220,222,212,213,216,218,219,215,220,234,188,141,119,96,71,58,126,187,191,159,121,85,72,64,157,238,221,222,222,223,214,216,218,218,217,215,224,225,182,144,116,95,76,73,79,112,168,167,144,100,78,57,162,236,221,224,224,223,216,217,219,219,219,217,227,235,201,161,129,110,95,86,112,92,166,200,164,120,90,56,174,236,224,226,225,224,216,217,218,220,220,218,229,233,200,145,115,109,95,82,120,169,215,219,196,148,107,60,162,241,224,226,226,225,216,219,219,220,221,220,232,232,190,151,124,107,116,101,150,218,236,224,216,164,120,80,112,242,225,228,228,228,219,219,220,221,223,223,232,227,194,153,133,120,146,114,185,239,243,220,193,154,121,88,114,242,227,229,229,229,219,219,221,222,224,224,232,224,196,158,144,147,145,134,212,240,234,215,185,138,116,78,146,245,230,231,229,230,219,221,223,224,224,223,227,222,194,166,155,153,140,142,221,239,217,189,170,122,100,71,183,241,230,232,229,229,221,222,224,224,224,225,224,218,188,162,142,167,137,143,221,235,200,166,150,110,88,81,218,236,231,231,228,229,220,223,225,224,227,227,222,214,193,162,167,189,132,144,228,222,185,151,128,99,82,112,241,232,233,233,233,232,221,224,225,224,228,229,225,208,194,175,166,188,141,144,229,193,167,137,110,93,73,163,247,233,235,234,234,234,221,223,223,224,226,228,227,214,200,179,161,181,146,150,213,174,152,117,100,91,77,208,242,235,236,235,234,234,220,220,221,222,225,225,218,231,213,181,161,158,137,131,200,165,129,109,94,85,98,233,235,235,235,235,235,235,220,221,221,222,226,215,220,240,211,177,158,136,114,123,172,139,108,100,94,72,155,243,233,235,235,235,235,235,221,223,223,225,226,211,234,229,209,192,163,122,117,138,165,105,108,93,86,101,224,237,235,235,234,234,234,234
0,187,189,191,193,196,198,198,199,200,201,203,203,204,204,204,204,203,204,205,204,202,200,200,199,198,199,199,198,188,190,192,195,196,198,200,201,203,203,204,205,205,205,205,205,204,205,205,205,203,201,202,202,200,199,200,198,190,191,195,196,197,199,202,204,204,206,207,207,206,206,207,207,204,204,205,206,206,204,202,202,202,200,201,200,191,192,194,196,197,198,202,203,204,207,206,207,207,210,208,208,209,209,205,207,207,205,204,203,201,200,203,202,190,194,195,197,198,201,205,204,207,213,209,206,198,188,207,206,186,188,208,204,205,205,207,204,204,202,203,203,191,194,197,198,200,203,204,205,203,177,192,227,188,134,138,210,169,107,164,226,208,186,163,213,204,205,205,205,193,195,198,199,200,204,202,210,211,169,124,209,211,154,98,211,177,117,95,164,175,200,120,187,215,204,207,206,195,196,199,199,202,204,201,230,229,207,132,127,219,145,106,215,173,124,64,115,142,206,169,129,191,213,205,207,196,197,199,201,206,203,216,219,214,214,144,82,197,154,116,220,177,100,100,164,114,196,198,165,128,176,213,206,197,199,201,203,206,202,231,196,188,202,113,88,193,140,124,210,157,74,120,169,80,175,226,191,134,87,212,208,197,200,203,205,203,203,238,204,190,178,85,108,186,113,114,182,138,66,119,164,92,214,236,185,115,83,211,208,198,200,203,206,203,223,229,190,182,172,100,111,162,98,93,156,124,52,124,146,140,220,200,161,71,141,224,207,200,203,205,206,203,240,232,180,134,148,100,93,162,100,79,164,100,79,171,159,177,182,152,114,68,202,215,212,200,204,205,208,205,241,229,198,160,103,47,103,195,109,86,188,168,189,176,160,132,151,123,66,121,225,211,214,201,204,205,207,210,243,218,198,181,150,91,87,127,85,94,217,213,188,164,151,105,106,106,51,173,224,212,211,201,204,206,205,219,248,220,198,181,169,124,81,100,135,209,226,209,177,153,136,96,83,79,60,210,218,213,214,203,204,207,205,224,250,226,201,184,180,142,107,114,187,234,221,199,165,140,117,82,77,44,135,229,214,213,215,204,205,208,205,224,248,231,206,187,181,154,114,120,204,236,213,190,156,127,96,74,51,79,221,216,216,214,214,204,205,207,208,217,247,233,212,192,175,154,114,157,212,222,201,185,146,110,80,63,46,186,226,217,218,215,215,202,206,209,210,216,247,231,216,198,172,149,134,190,207,191,191,172,131,89,70,36,147,232,218,219,219,219,219,205,206,212,206,220,248,234,229,199,171,160,168,204,177,171,173,151,111,79,40,102,231,220,221,221,221,220,221,205,207,210,202,236,246,237,237,204,180,168,179,193,155,165,153,125,91,55,63,218,225,223,223,222,221,220,220,206,208,206,210,246,231,234,229,189,176,175,175,158,154,155,137,109,69,52,190,230,222,222,222,222,221,220,220,204,207,201,222,221,200,216,208,172,172,173,158,148,146,127,115,78,46,169,230,219,224,221,221,221,219,219,219,205,202,199,231,204,176,177,175,162,161,163,146,134,129,109,85,53,146,224,221,223,224,222,221,220,219,219,219,209,188,215,228,181,168,158,147,146,173,161,114,122,122,88,45,145,225,221,225,225,224,223,223,222,220,220,221,198,189,240,217,163,145,153,127,137,174,135,98,124,106,51,114,223,224,223,225,224,224,224,223,223,221,222,221,182,219,236,212,159,130,139,117,140,156,118,101,111,68,67,204,223,224,226,225,224,224,223,223,224,223,223,221
14,172,174,175,174,175,178,179,174,183,204,192,157,128,97,156,179,180,183,177,178,179,179,178,178,177,176,175,175,173,176,177,178,177,179,174,187,216,188,131,107,94,84,109,157,158,157,180,179,179,179,179,178,178,178,177,177,175,177,179,179,179,174,199,223,200,145,87,86,84,86,117,142,124,98,180,181,181,182,182,181,180,180,179,178,176,179,180,180,177,185,233,203,145,102,85,91,79,65,88,108,87,126,193,180,182,184,182,182,183,182,180,179,179,181,181,183,174,202,234,182,95,68,65,73,78,91,86,97,109,126,163,185,183,184,185,184,185,182,182,181,179,180,182,185,178,216,233,175,96,66,61,65,81,99,75,85,139,149,108,140,192,183,187,187,184,184,183,183,179,181,184,185,184,230,222,152,89,73,80,62,64,74,71,69,93,110,81,159,199,187,187,188,188,186,186,185,181,183,185,184,191,234,214,146,82,74,92,71,77,94,103,102,87,93,86,126,149,188,189,187,188,188,187,187,184,185,188,182,201,234,221,172,112,80,78,78,87,80,87,79,88,105,109,108,92,156,192,189,190,189,188,187,185,187,190,181,217,234,221,173,124,92,66,90,94,81,115,141,183,166,138,119,150,131,172,197,190,190,191,190,187,189,188,186,227,234,223,171,119,97,75,90,79,161,206,198,194,199,197,156,168,129,178,198,191,192,191,191,188,189,189,191,231,234,226,180,128,94,80,74,88,191,195,194,195,200,174,141,162,124,188,196,194,192,192,193,190,193,191,197,234,234,229,187,140,98,79,70,160,204,195,197,196,202,166,143,160,117,185,199,195,194,193,194,191,194,191,198,234,234,230,193,145,106,69,89,203,197,198,198,196,206,159,134,159,111,158,205,196,196,196,195,193,195,195,200,234,234,230,195,152,116,67,126,211,196,200,199,202,198,142,133,149,120,132,207,197,197,199,197,193,196,196,201,234,233,231,198,155,117,71,132,209,204,207,208,205,140,135,156,148,112,151,208,198,199,199,198,196,196,193,204,234,233,231,199,154,121,98,65,100,134,136,163,151,115,142,147,133,127,201,202,200,199,198,198,195,196,195,204,234,233,232,195,156,133,114,75,74,83,93,105,111,124,139,141,114,178,208,200,201,200,199,199,197,198,196,209,234,233,231,192,166,149,125,85,86,101,111,122,126,121,131,118,150,211,203,205,202,203,201,201,199,200,196,215,234,233,229,198,179,159,129,98,92,112,116,121,126,123,109,118,207,206,205,206,203,202,202,202,199,202,198,218,234,233,229,209,188,160,127,108,95,111,118,119,123,122,97,175,213,206,206,205,205,204,204,203,200,201,199,222,234,233,229,217,193,159,127,109,98,106,119,114,121,103,159,215,206,206,207,207,206,206,206,206,199,201,197,224,233,232,228,217,189,146,108,98,94,104,113,116,106,125,216,208,209,208,208,207,206,206,206,206,206,210,211,234,234,234,231,211,171,112,87,90,89,100,107,113,101,190,214,207,209,209,209,209,208,207,207,206,178,162,152,162,143,137,119,102,86,64,55,66,84,98,101,95,165,219,209,211,211,211,212,211,208,208,207,208,96,85,74,66,59,53,45,41,42,37,26,26,39,66,87,158,220,208,211,211,211,210,212,212,211,211,208,210,90,85,75,71,67,60,49,46,45,36,27,25,24,18,49,218,213,213,214,214,214,212,213,213,211,211,211,210,89,83,74,68,60,56,48,44,40,33,25,22,26,18,54,220,214,216,214,214,215,213,213,212,212,212,212,212
23,191,193,193,194,195,195,195,195,195,196,195,195,196,195,195,196,195,195,195,194,194,193,193,193,192,191,192,183,193,194,194,194,196,196,196,196,197,198,198,197,197,197,197,198,198,196,195,195,195,195,194,193,192,193,192,192,194,195,196,197,198,198,198,198,198,199,199,199,199,199,199,198,199,199,199,196,196,196,196,194,194,194,194,193,196,197,198,198,198,198,198,199,199,199,200,199,200,200,200,200,200,201,200,199,199,199,198,198,197,196,195,195,197,198,198,199,200,200,200,200,199,200,200,201,200,200,200,200,201,202,200,200,199,195,195,196,196,198,197,196,198,199,199,201,201,202,202,201,201,201,202,203,201,201,201,202,201,199,207,216,210,202,198,164,140,205,198,198,199,200,200,201,201,202,203,202,202,202,203,204,203,202,203,204,202,213,223,218,182,166,165,131,153,205,199,200,200,201,202,203,203,205,205,205,204,205,205,204,206,205,204,205,221,221,203,176,120,154,172,185,204,201,201,202,201,202,202,204,205,205,205,205,206,205,205,205,205,205,202,218,232,201,132,132,179,210,206,204,202,202,202,202,202,203,204,205,205,205,205,205,206,205,205,205,206,204,209,226,232,166,109,198,212,204,202,205,205,201,203,203,203,204,205,205,205,205,207,206,205,206,207,207,208,205,221,225,224,174,182,210,185,199,208,193,194,207,205,205,204,204,205,206,206,206,207,207,207,206,207,207,208,208,219,218,207,218,222,218,164,154,196,179,159,208,205,204,204,205,206,206,206,206,206,208,207,207,202,188,193,206,209,211,148,190,191,197,165,121,177,188,138,209,206,206,204,205,206,207,208,207,206,209,207,214,211,191,169,181,192,212,197,216,216,201,154,106,148,168,132,212,207,206,205,206,208,208,207,208,209,209,210,223,222,217,197,186,177,175,168,172,193,202,168,108,99,123,111,198,211,206,204,206,208,208,207,208,210,210,208,220,229,221,216,200,183,195,180,163,157,161,164,130,93,106,102,151,217,206,203,205,207,207,207,207,207,210,206,216,231,217,211,191,154,169,197,190,175,158,122,138,102,96,108,127,214,207,203,206,207,207,207,207,208,210,205,216,228,224,220,165,132,120,162,167,158,138,106,133,108,92,103,162,215,204,205,206,206,208,207,208,208,211,204,216,229,232,218,160,116,86,120,180,145,103,114,146,113,91,119,203,209,206,205,206,207,208,208,209,209,211,201,217,233,228,201,165,126,73,141,166,119,81,138,149,115,92,172,215,206,207,205,205,206,207,208,209,209,209,202,221,232,219,190,157,130,83,126,134,74,82,152,138,99,121,213,209,208,208,205,204,205,206,207,208,210,208,206,224,229,210,182,154,128,81,113,111,62,118,146,112,92,175,217,207,210,209,209,209,209,210,211,212,213,208,211,230,223,199,177,156,132,88,108,98,73,135,125,95,111,208,210,208,209,208,181,183,185,188,191,196,200,196,213,222,213,188,169,153,134,91,100,97,96,113,110,100,173,221,214,216,215,214,121,120,119,122,125,125,120,143,214,215,204,174,164,166,131,97,91,101,121,116,105,111,168,173,175,179,181,182,124,123,122,122,122,124,116,141,212,211,196,172,177,176,125,109,96,111,129,126,113,117,112,113,116,111,110,118,124,125,124,124,124,126,119,154,215,204,197,181,186,176,134,115,105,116,123,118,117,125,123,123,128,145,174,197,123,125,125,125,125,128,116,165,223,213,209,193,190,176,142,118,108,112,118,116,126,133,149,181,204,218,211,212
4,179,181,181,182,184,185,187,188,187,188,187,187,187,189,188,188,188,188,188,188,188,188,189,188,188,186,186,186,181,182,183,185,187,187,188,188,188,189,188,189,189,189,189,189,190,189,189,187,189,191,190,190,189,188,188,188,183,185,186,188,189,189,189,189,189,190,191,191,192,192,188,172,162,178,178,161,162,186,192,192,193,191,190,189,186,187,188,189,190,191,191,191,191,192,191,183,177,181,197,191,164,139,140,161,143,127,173,195,194,194,192,192,188,189,189,191,192,193,194,193,194,194,195,192,173,141,143,191,183,134,87,110,139,98,119,198,195,194,194,194,190,191,192,193,193,194,194,193,191,182,190,197,185,140,99,130,180,134,86,62,115,99,99,195,196,196,196,195,192,193,193,194,195,195,195,195,189,145,122,148,186,149,93,65,163,148,102,54,104,119,100,192,199,198,197,197,193,195,196,196,196,195,197,194,189,143,89,75,167,171,106,52,141,184,133,67,99,143,111,192,200,199,198,199,194,196,197,197,198,197,197,174,162,150,112,56,143,186,113,82,145,183,141,82,78,131,125,198,201,200,200,200,195,196,197,199,200,199,199,174,124,151,144,75,103,166,114,77,106,140,131,79,65,90,86,181,203,201,201,202,195,197,199,199,200,201,202,183,149,144,138,88,75,99,94,85,85,100,104,76,85,106,91,129,203,204,204,203,197,198,201,201,201,201,205,197,173,143,110,83,78,88,87,95,99,93,90,84,135,148,133,109,175,207,204,203,199,200,202,202,202,203,207,197,167,141,114,95,96,101,105,119,122,127,136,134,149,169,154,115,118,203,206,205,200,201,202,204,204,204,207,193,156,128,112,99,110,120,139,152,164,180,194,190,169,159,135,99,79,172,209,206,200,201,203,205,205,205,207,198,165,137,118,109,123,130,164,190,181,194,196,191,176,153,122,86,73,139,212,207,201,203,205,207,207,206,208,209,180,149,123,114,124,137,183,194,188,194,194,186,170,149,119,87,72,156,211,208,202,204,206,207,208,207,206,210,192,162,134,116,125,144,187,195,196,201,198,185,170,149,115,84,88,194,210,209,203,205,206,207,208,208,207,211,204,176,145,122,139,147,182,198,207,210,206,192,170,136,107,79,129,213,212,211,204,206,206,207,208,209,208,209,210,187,154,134,152,156,176,201,212,215,217,201,163,126,98,80,173,215,212,212,205,206,208,209,210,211,208,206,208,200,160,142,155,164,181,203,216,220,219,193,150,121,89,99,205,214,214,212,207,207,209,209,211,212,211,201,199,201,171,149,155,163,185,206,212,220,204,169,137,114,80,140,218,215,215,214,208,208,209,210,212,212,213,198,195,201,184,160,153,161,182,204,204,201,179,151,126,102,82,185,218,215,215,214,208,209,210,210,210,211,214,204,191,200,192,174,161,164,178,194,195,178,158,135,107,85,128,215,217,215,215,214,208,208,209,209,210,212,213,212,191,188,188,180,170,166,166,171,174,157,135,109,84,95,196,218,217,217,217,216,206,207,207,208,209,210,212,214,196,184,186,178,170,164,153,153,159,144,117,90,71,150,218,217,216,217,217,216,206,207,207,209,210,211,212,214,199,188,182,170,163,158,144,140,145,130,96,80,79,192,218,217,216,216,216,215,208,209,209,211,211,212,213,214,202,188,173,151,154,153,145,142,135,117,89,75,102,211,218,218,218,216,217,216,208,209,211,212,212,212,213,215,205,189,179,160,169,166,157,146,132,114,94,72,125,216,218,219,218,217,216,216
23,180,180,180,178,179,181,180,179,177,177,176,173,173,172,171,171,169,168,165,164,162,160,157,155,155,147,18,0,183,183,183,182,182,183,182,182,181,179,180,178,175,174,174,173,171,170,167,165,165,163,160,157,161,139,0,0,184,184,184,184,186,185,185,184,185,183,182,182,180,178,177,175,172,172,171,168,167,166,164,160,172,108,0,0,188,187,187,189,189,190,190,189,187,185,183,183,184,182,182,180,179,174,173,172,171,169,167,160,176,80,0,0,192,190,191,191,192,192,191,192,190,189,188,186,174,177,179,176,170,180,178,174,174,171,168,164,171,49,0,0,193,194,193,193,194,193,193,193,191,190,191,174,134,126,143,141,125,102,170,179,174,173,172,169,166,19,0,0,195,195,197,197,197,197,194,195,194,194,184,158,166,137,135,148,143,69,88,194,174,175,175,172,176,44,0,0,198,197,198,199,198,200,198,197,197,196,183,165,144,97,70,109,98,98,38,135,192,175,175,172,181,81,0,0,199,198,199,200,200,200,200,198,198,193,187,159,122,59,102,124,130,95,79,42,153,186,176,173,178,115,65,0,200,199,200,201,201,201,202,200,200,188,182,137,125,62,191,202,200,157,96,52,123,192,179,177,177,140,106,25,202,201,202,201,202,203,204,203,200,179,170,120,116,106,206,196,196,202,185,165,185,185,181,179,180,153,85,135,202,203,203,203,205,206,204,206,194,176,160,109,98,148,181,164,162,142,154,199,188,185,183,181,181,158,121,127,205,205,206,206,206,206,205,205,175,163,149,129,133,147,152,153,155,130,60,179,185,186,184,182,183,170,148,144,207,208,208,207,207,206,208,178,142,142,150,162,174,184,182,171,151,117,58,163,168,144,185,184,181,182,162,106,208,209,209,208,207,210,199,174,156,146,148,150,163,157,142,132,118,118,71,129,184,117,146,194,183,181,181,126,209,210,210,209,209,211,197,172,157,141,132,141,149,152,157,151,129,115,80,43,135,89,114,200,183,183,182,174,211,212,213,212,210,215,188,179,183,151,140,140,148,156,148,144,141,67,37,2,57,27,110,203,185,185,182,181,213,215,217,217,213,219,180,178,178,144,135,144,155,157,150,146,127,52,11,0,4,39,181,191,188,186,183,180,215,216,217,216,215,221,181,157,176,165,166,167,161,159,145,129,82,32,14,5,16,168,202,189,190,188,185,182,214,215,215,215,214,219,179,151,188,179,170,163,129,111,91,52,47,36,15,1,134,209,190,191,190,188,185,181,216,216,215,216,215,220,177,155,180,167,157,143,107,58,13,19,48,28,5,43,198,192,192,190,187,183,184,185,217,218,218,217,216,222,177,157,167,156,156,145,108,44,2,23,19,16,5,101,211,191,192,188,186,191,184,157,217,218,218,218,217,222,174,159,161,155,159,158,98,23,0,0,7,25,12,155,208,193,191,199,196,147,97,110,216,217,217,217,216,222,175,155,158,170,174,144,76,34,8,13,31,26,41,199,197,203,199,142,90,35,102,120,225,227,228,228,225,232,172,148,162,178,169,123,71,43,16,19,39,11,111,223,200,162,89,14,9,10,111,134,151,158,161,166,173,182,147,148,170,179,161,111,63,45,20,19,22,38,192,162,84,26,4,6,4,0,84,149,72,72,70,69,72,70,117,157,167,170,148,101,60,42,18,15,18,45,69,25,0,16,0,4,0,0,31,149,92,92,95,93,88,86,135,157,159,153,124,87,50,34,15,8,21,17,20,2,0,17,0,0,0,0,0,85
4,150,152,152,153,154,152,152,152,153,151,150,151,151,149,146,147,150,149,145,143,143,142,142,141,139,138,136,135,153,154,155,156,156,157,155,155,155,153,150,153,151,155,158,146,131,133,148,145,145,144,143,142,142,140,138,138,155,157,158,159,159,159,158,155,154,160,170,167,144,120,159,190,152,94,83,159,151,149,143,144,144,142,141,140,159,160,161,160,160,161,157,161,165,124,159,180,148,80,51,150,148,86,30,90,123,130,152,147,145,142,143,141,160,161,162,162,163,156,176,192,152,92,50,150,126,67,19,94,116,56,30,13,70,63,82,153,144,144,143,144,162,163,161,164,163,162,208,200,136,92,27,128,115,64,11,68,99,58,24,25,64,41,18,143,151,147,145,145,164,164,163,166,163,175,202,194,149,163,55,82,153,125,10,42,131,102,30,43,75,39,18,139,153,149,147,146,165,165,165,167,165,175,208,168,178,196,83,49,186,133,13,23,151,110,26,50,127,79,36,142,155,150,148,147,165,167,167,168,168,168,208,183,167,133,58,31,118,88,27,22,75,85,0,46,168,96,59,155,154,152,150,149,168,169,168,170,167,174,223,212,180,138,95,70,36,31,37,61,119,129,44,35,111,67,95,165,154,152,152,150,170,169,171,175,165,194,231,197,160,141,117,103,83,99,108,129,173,121,73,43,39,12,134,164,157,154,153,152,172,172,172,176,166,208,216,169,130,102,114,188,148,156,176,138,150,106,95,58,41,32,147,162,158,157,156,154,172,175,175,176,171,220,214,173,141,109,107,180,150,154,165,152,131,127,123,75,27,21,143,164,156,158,156,154,174,178,177,175,179,231,216,179,146,115,86,107,118,113,132,109,102,159,149,94,41,13,137,169,158,160,158,157,177,179,179,173,190,233,208,181,142,97,82,69,48,53,104,61,83,173,164,105,59,17,124,174,161,160,159,159,180,180,181,175,200,230,209,181,128,95,97,88,63,92,175,168,121,171,179,104,71,18,111,176,161,161,160,158,181,181,183,175,205,228,211,178,126,103,112,91,70,180,209,189,171,143,166,113,82,31,89,180,162,163,162,160,182,182,185,178,211,228,199,149,125,124,113,75,141,217,211,191,160,150,121,102,78,37,102,179,164,165,162,161,184,184,186,179,217,223,185,146,158,125,92,95,209,218,211,185,149,129,107,75,63,30,146,173,166,165,162,162,186,186,184,192,225,216,181,166,164,118,77,155,224,211,194,169,142,113,95,67,40,45,174,167,169,166,163,163,186,185,198,133,206,220,180,169,170,108,120,189,221,195,175,157,135,104,77,58,12,112,181,169,169,167,165,165,187,196,173,29,71,198,190,174,161,95,136,187,205,178,163,149,118,86,65,34,40,175,172,171,172,169,167,166,193,189,62,35,24,50,149,169,131,88,112,180,183,159,143,129,101,72,50,12,134,185,174,175,175,172,170,168,205,98,26,37,38,22,34,86,90,68,96,142,157,138,122,105,81,57,14,73,189,175,176,176,175,174,171,169,129,39,45,28,22,31,25,17,22,53,84,107,128,112,98,75,58,21,29,177,183,178,178,177,176,174,171,169,41,40,40,25,22,22,21,29,5,11,46,69,90,70,53,44,24,12,150,191,180,182,182,179,177,175,173,172,45,39,25,24,19,20,17,21,19,0,0,4,21,22,6,0,8,140,196,180,184,183,183,180,178,176,175,173,38,30,23,23,16,16,12,13,27,0,0,0,0,0,0,0,70,207,182,186,185,184,184,182,179,177,176,174
8,154,154,155,159,160,161,160,159,158,157,157,155,155,155,154,152,151,150,149,147,146,145,145,143,141,138,136,136,158,157,159,161,161,160,161,161,161,159,159,158,160,155,154,153,152,152,152,149,148,148,147,144,142,140,137,137,161,161,161,163,163,162,161,161,162,162,161,153,145,158,156,156,155,155,154,151,149,149,147,146,144,141,140,139,161,161,163,165,165,166,165,162,163,161,166,149,80,148,163,158,158,157,155,152,151,151,150,148,146,144,142,140,162,163,165,166,167,165,166,165,166,161,175,131,49,140,166,160,160,157,156,155,154,154,152,151,150,147,143,141,164,165,166,168,170,168,168,169,168,165,181,100,48,159,164,162,161,158,157,157,156,155,154,153,150,147,146,144,166,168,169,171,172,172,170,172,168,175,184,90,64,172,162,164,161,161,160,158,157,157,155,153,152,149,147,146,168,170,170,170,172,172,172,173,166,185,178,79,83,176,162,168,168,159,161,160,158,157,155,155,153,151,149,147,169,171,172,171,173,173,174,173,167,190,161,60,98,179,168,138,138,173,163,159,158,157,156,156,153,151,150,147,170,171,173,174,174,174,174,176,170,197,157,97,118,174,181,142,85,128,159,169,161,158,157,157,156,152,151,149,172,174,173,174,175,176,177,177,174,200,158,132,132,169,171,176,133,85,89,105,165,166,166,161,157,155,153,151,174,174,175,176,177,178,179,177,177,192,166,143,150,190,142,184,165,153,130,45,64,110,100,158,159,155,154,153,175,176,177,177,178,180,180,175,189,187,145,155,173,176,134,118,162,147,129,70,0,13,8,66,171,154,156,154,175,178,179,179,180,180,181,180,188,160,143,147,159,159,119,50,87,173,131,83,11,0,9,13,155,161,157,155,177,179,181,181,181,182,179,193,186,134,117,120,149,142,83,29,6,187,149,92,14,15,22,20,161,161,158,157,178,180,181,182,183,183,180,210,195,155,106,70,138,120,58,25,39,183,162,95,18,3,0,91,174,159,160,157,180,181,182,183,186,180,194,219,187,151,116,80,126,157,132,160,164,149,143,93,34,0,41,170,163,162,161,158,180,184,185,184,187,181,208,210,172,156,123,105,76,175,196,161,167,128,103,93,38,17,160,172,165,165,163,162,182,185,186,186,187,188,216,198,173,159,105,86,141,194,178,134,153,132,70,87,16,96,186,167,169,167,164,160,183,185,187,187,184,194,220,195,175,153,103,138,198,187,165,132,127,125,52,53,0,144,179,170,170,167,165,162,185,185,188,187,190,199,216,198,177,149,125,176,189,176,152,119,109,102,48,12,32,184,173,172,171,168,167,166,186,188,188,193,163,199,215,197,168,144,128,166,166,152,136,103,105,70,28,0,104,189,173,173,172,170,167,164,185,185,195,171,25,78,181,176,141,124,131,138,156,137,115,96,77,36,1,3,171,178,177,173,172,170,168,166,187,187,196,65,17,8,40,136,151,136,131,129,156,128,98,69,31,13,0,98,189,175,177,173,173,171,170,168,184,203,125,11,17,16,7,16,91,130,118,127,141,96,60,36,20,0,41,188,177,179,178,174,173,171,169,169,198,171,33,15,12,7,13,0,0,11,29,79,107,56,20,14,0,20,174,185,180,180,178,176,174,172,171,170,191,71,8,15,8,2,5,10,0,0,0,0,0,3,0,0,50,175,187,180,180,180,177,176,173,171,170,169,104,6,14,10,5,0,1,8,0,0,0,0,0,0,0,25,197,182,180,180,178,179,177,174,173,170,167,166
6,146,149,151,154,157,160,162,164,166,167,169,169,170,172,173,173,174,174,174,174,174,175,175,174,174,174,173,172,146,150,153,156,158,160,162,165,166,167,169,170,171,172,173,174,174,174,175,175,175,175,175,175,175,175,174,173,146,149,152,155,158,161,162,165,166,168,170,171,172,172,174,175,175,175,176,176,176,176,176,176,176,175,174,174,148,150,153,156,160,162,165,166,167,168,170,172,173,174,174,175,175,176,177,177,176,177,178,176,175,175,175,175,148,152,155,158,160,162,165,166,168,169,170,173,174,175,175,175,177,179,179,178,178,177,177,177,178,176,177,177,148,151,155,158,161,164,165,167,169,169,170,173,175,176,175,176,178,178,179,179,178,180,181,180,180,178,177,177,149,153,156,159,161,163,166,167,169,168,170,170,171,174,171,172,172,177,176,171,171,162,160,169,175,179,178,178,150,154,157,157,163,174,177,168,169,175,179,181,184,187,176,178,179,192,189,177,173,158,146,163,166,152,180,178,149,150,152,170,188,193,186,167,153,161,180,186,187,185,174,171,180,176,173,172,164,153,145,153,147,140,182,178,146,158,180,194,192,189,184,173,139,117,135,141,144,146,146,145,139,134,139,138,136,136,142,148,152,174,181,178,174,195,194,185,185,191,194,176,139,104,95,90,92,111,121,131,150,167,171,173,176,178,180,180,182,180,179,179,196,190,185,188,193,192,175,142,126,109,102,103,95,103,160,185,183,181,181,182,182,182,180,180,179,179,180,179,193,189,190,188,188,179,166,145,120,106,101,109,113,103,109,132,181,183,181,182,181,181,182,181,181,180,179,180,193,193,190,188,189,189,194,171,121,107,94,95,111,115,113,88,115,183,182,181,182,182,181,181,181,181,180,180,188,190,188,187,189,197,193,156,121,111,112,108,102,103,113,112,84,126,188,181,183,182,181,181,181,181,180,179,187,187,185,183,191,198,170,139,123,117,115,117,115,94,92,97,99,102,183,183,183,182,182,181,181,182,180,180,179,180,177,178,185,186,166,138,115,107,114,123,130,112,100,92,88,127,182,179,180,179,178,178,178,178,177,178,181,181,179,177,182,184,175,142,112,93,91,102,133,130,115,101,95,115,124,121,119,120,118,118,117,117,115,115,183,184,185,184,189,188,174,133,111,114,111,107,99,108,116,110,108,98,94,95,96,97,96,93,92,93,91,91,182,181,178,178,188,180,161,130,117,121,119,115,109,101,97,103,105,102,103,103,103,103,102,101,100,101,100,98,174,168,162,168,174,164,151,134,125,124,123,113,106,101,102,107,107,106,104,102,101,101,101,102,101,99,99,97,161,157,152,161,161,147,134,126,117,112,118,116,113,111,108,108,107,107,104,104,103,101,101,102,101,100,101,100,148,146,139,136,132,121,111,106,103,96,99,104,109,110,106,104,105,104,103,102,101,101,101,101,101,100,99,100,128,121,112,107,106,107,108,108,107,108,106,105,107,106,106,106,105,105,104,104,102,102,101,101,101,99,100,95,100,104,106,106,108,109,109,109,108,108,109,108,108,107,106,106,104,104,104,104,102,101,102,101,101,100,94,113,104,108,109,108,108,108,107,108,108,107,107,106,106,106,106,104,103,103,103,103,102,101,102,101,103,94,103,181,108,109,108,109,109,108,108,107,107,107,107,106,107,106,106,104,104,103,103,103,103,103,102,104,103,92,168,184,108,108,109,108,107,107,107,106,107,106,106,107,107,106,106,105,104,103,103,104,102,102,102,108,95,145,193,161
16,175,176,177,178,177,177,178,179,180,179,178,179,180,180,180,178,179,180,181,182,180,180,181,181,181,181,181,178,176,177,177,178,179,179,179,181,180,180,179,181,182,179,183,184,185,183,180,182,181,181,182,182,181,181,181,180,177,177,178,180,180,179,179,180,181,182,182,183,180,180,163,159,155,170,190,185,182,182,182,181,181,182,181,181,177,178,178,180,180,180,180,181,180,179,173,168,182,192,156,136,129,108,130,178,189,183,182,182,182,183,182,181,177,178,179,180,180,182,182,182,183,178,158,162,195,195,171,156,142,114,80,88,139,184,187,181,183,183,182,182,177,179,180,181,182,181,177,166,199,193,165,177,199,187,175,165,144,101,98,81,73,102,173,189,181,183,183,183,180,180,180,181,180,191,176,170,191,188,172,180,199,174,165,157,137,88,98,88,83,75,90,171,191,183,184,183,180,181,181,182,179,200,189,172,185,183,182,175,188,162,159,148,124,87,87,81,83,85,73,84,180,187,185,185,179,179,181,181,180,187,185,170,182,189,187,178,185,165,157,141,109,83,78,76,79,83,84,65,111,195,185,186,178,179,180,182,188,179,184,184,177,188,189,181,195,178,160,132,99,78,69,73,80,82,79,78,72,175,190,186,179,180,178,189,188,177,185,196,183,183,187,183,194,181,157,122,92,72,57,73,83,85,87,78,67,159,191,183,179,180,179,183,185,184,180,191,181,183,192,189,189,179,148,108,85,52,52,73,84,90,95,82,73,176,187,184,180,181,181,181,184,194,187,192,197,158,194,197,187,181,146,97,63,23,50,68,77,95,92,81,81,182,186,186,183,182,182,181,185,193,198,170,176,169,184,196,189,183,138,88,40,17,43,57,72,105,87,76,90,186,187,187,181,180,182,181,182,181,202,162,140,183,181,188,194,180,132,81,41,19,28,47,82,113,86,73,109,192,186,187,179,180,181,181,182,174,175,200,182,165,178,190,199,176,130,75,52,41,28,51,109,116,88,72,114,192,186,188,183,184,185,186,186,185,165,177,188,174,178,192,202,172,125,74,63,68,55,71,134,134,101,68,110,192,187,187,141,146,149,152,155,161,155,155,179,161,157,179,200,170,116,73,71,75,61,87,151,157,129,71,113,196,184,188,89,91,91,91,93,95,95,97,127,106,94,161,201,169,107,73,78,81,71,98,150,165,151,97,91,161,199,212,97,97,96,94,94,94,93,92,91,97,80,153,203,172,99,100,90,83,78,104,145,164,167,135,108,189,208,221,95,97,96,95,96,97,97,97,98,101,85,139,205,174,95,149,116,98,88,88,133,155,166,151,115,181,207,212,95,95,94,97,96,96,96,96,98,100,90,116,198,172,100,171,139,113,106,84,97,145,151,138,84,151,207,186,95,94,94,96,96,97,96,97,99,101,93,105,210,166,109,191,160,132,120,103,77,97,129,105,110,167,160,183,94,94,93,95,96,96,96,96,97,99,95,101,212,132,138,203,173,148,134,115,90,74,85,70,158,196,135,162,93,95,94,95,95,95,96,98,98,98,97,99,127,129,195,198,179,157,143,125,98,79,81,63,163,217,178,146,93,95,95,96,95,93,95,98,97,97,96,98,82,156,205,198,186,163,148,132,105,80,83,66,159,220,197,183,94,95,95,96,95,93,94,96,96,96,96,98,89,145,197,195,189,169,151,136,112,84,81,65,142,222,192,172,93,93,95,99,95,93,94,95,95,96,96,98,90,143,194,194,188,168,152,138,117,89,82,68,132,220,202,155
16,81,82,83,84,84,96,108,118,128,136,144,150,153,154,156,162,166,171,175,179,182,185,187,190,193,194,197,200,80,81,83,83,84,97,108,119,128,135,145,150,152,154,156,160,165,171,176,180,182,186,188,192,194,195,198,200,80,79,82,82,84,96,108,119,126,135,144,149,152,150,156,159,163,169,174,178,181,184,186,190,193,196,198,199,79,79,83,82,84,97,107,118,128,138,144,149,150,151,151,161,167,168,172,178,181,184,185,190,194,195,198,200,79,79,82,82,85,97,108,118,127,133,140,142,167,173,141,126,149,174,179,176,179,184,188,190,194,196,198,201,79,78,80,80,84,97,107,119,122,144,153,170,191,169,143,118,96,109,150,181,186,185,187,190,195,196,199,200,78,78,79,78,83,94,108,108,143,201,187,189,176,146,127,124,105,83,74,110,160,182,191,194,194,195,198,199,78,79,79,79,82,96,103,112,196,195,174,164,156,137,120,103,102,94,80,74,80,105,134,164,191,201,197,199,76,77,79,77,82,92,103,191,197,160,152,145,133,123,103,92,96,101,86,84,79,74,74,83,116,168,199,205,75,76,79,76,82,78,148,201,158,145,136,122,109,97,90,90,83,108,95,91,85,79,74,72,71,84,129,184,69,69,70,69,71,130,164,153,139,131,113,98,89,82,87,75,74,104,103,111,89,83,74,71,74,74,69,92,119,113,116,109,140,186,144,132,126,106,91,84,73,77,82,52,77,106,111,114,94,87,74,71,70,73,76,69,110,114,114,112,204,186,148,118,96,88,81,69,65,77,60,38,91,108,112,116,99,91,78,76,70,70,73,73,106,112,94,146,208,171,131,97,71,68,60,55,66,60,27,36,96,105,111,126,114,103,85,79,68,68,71,70,116,111,120,197,180,149,103,76,58,64,48,37,32,22,14,23,91,101,117,142,133,113,99,72,66,70,69,66,118,102,169,178,143,114,80,61,54,57,30,14,12,9,12,13,79,102,124,152,122,118,107,66,65,67,66,64,108,134,190,149,106,78,64,57,58,56,38,11,7,8,8,6,54,95,145,142,98,120,106,63,65,61,64,64,108,186,172,120,79,54,54,60,64,65,66,47,12,15,21,23,18,117,165,115,89,110,87,62,64,62,64,60,151,174,126,84,64,83,67,66,69,71,70,63,43,45,47,31,59,171,141,96,84,84,66,61,61,62,59,57,180,123,86,52,90,111,82,92,82,79,73,64,59,59,54,38,144,162,119,84,71,63,57,62,60,58,60,65,135,88,53,75,108,88,88,88,85,79,73,65,58,56,36,85,182,144,100,70,60,55,56,58,54,60,67,67,91,60,77,113,114,108,106,89,77,70,75,60,59,73,78,152,184,147,80,58,55,58,59,57,59,65,64,63,96,97,112,113,116,116,114,114,106,101,107,102,106,116,109,184,187,152,75,42,50,63,61,60,61,62,64,65,117,115,113,113,115,115,114,116,116,117,116,117,117,116,111,186,192,157,89,50,95,78,72,68,66,68,67,67,113,111,112,113,115,114,114,115,114,114,116,116,116,118,107,160,177,143,79,99,144,89,82,82,80,78,71,68,113,113,112,113,115,114,113,114,115,116,115,115,117,119,111,125,150,110,76,107,153,132,95,87,92,93,83,71,114,113,112,112,115,114,113,113,114,114,113,114,117,116,115,115,121,95,92,109,132,168,130,114,110,109,98,86,112,113,113,113,114,115,114,114,114,114,115,115,117,116,117,117,117,116,117,112,114,180,155,137,128,119,109,96
3,152,153,154,155,156,156,157,156,156,156,156,156,155,154,153,152,152,151,149,148,146,145,144,142,141,139,138,138,157,157,157,158,159,160,160,159,159,159,159,158,158,157,156,155,152,151,151,150,148,146,145,144,142,141,139,138,161,162,162,163,164,164,164,163,163,163,163,162,161,160,159,159,144,141,153,153,151,149,147,146,145,143,141,140,166,166,167,167,168,168,168,168,167,167,167,166,165,164,163,162,134,120,153,157,155,153,152,150,148,146,144,143,171,171,171,172,172,172,172,172,172,172,171,170,169,168,167,164,132,108,150,160,159,157,156,154,151,149,147,146,175,175,175,176,176,176,176,176,177,176,175,174,173,172,171,166,132,101,147,164,163,161,159,157,154,152,150,148,179,179,179,180,180,180,180,180,180,180,179,178,177,175,175,169,134,99,146,167,166,164,163,161,158,155,153,152,183,183,183,183,184,184,183,183,184,184,183,182,181,180,179,175,139,100,145,170,170,168,166,164,161,159,157,156,186,186,187,187,188,187,187,187,187,187,187,185,184,183,182,176,136,98,147,173,173,171,169,167,164,162,160,159,190,190,190,191,191,191,191,190,190,189,189,188,187,186,184,173,134,103,148,176,175,174,172,170,168,165,163,161,193,194,194,194,194,194,194,194,193,192,192,192,190,189,186,174,137,102,143,178,178,176,175,173,171,168,166,164,196,196,196,196,196,196,195,196,196,196,195,195,193,191,188,178,141,99,136,180,181,179,177,175,173,171,169,167,198,198,199,199,198,198,198,198,198,198,197,196,194,189,173,156,150,122,132,178,183,181,180,178,176,173,171,169,200,200,201,201,201,201,201,201,201,200,197,184,171,176,153,114,135,136,109,139,167,181,182,180,178,175,173,172,201,202,202,202,203,203,203,203,203,199,190,163,132,146,150,111,109,127,95,90,114,164,184,183,180,178,175,173,203,203,202,203,204,204,205,205,203,195,178,158,133,127,149,121,93,112,104,87,86,139,184,185,183,180,178,175,204,204,205,205,206,206,207,206,200,184,152,137,137,119,133,123,82,85,103,95,78,125,183,187,184,182,180,177,206,207,207,207,207,207,208,207,197,179,143,109,116,99,108,118,79,75,104,117,88,114,180,188,186,184,181,179,208,208,208,208,208,209,209,208,197,177,142,102,94,76,93,100,70,83,113,137,105,105,176,189,188,185,183,181,208,209,210,210,210,210,210,210,200,178,156,122,90,79,98,94,83,121,147,144,107,109,179,192,189,187,185,183,210,210,210,211,211,211,212,212,203,181,167,139,104,97,115,120,136,167,157,126,95,138,190,194,191,189,186,185,210,211,212,212,213,213,214,214,206,180,167,146,117,105,129,165,178,171,138,101,101,172,196,195,193,190,187,186,211,212,213,213,214,214,215,215,210,182,159,144,122,110,127,167,170,150,113,85,127,191,198,196,194,192,189,187,210,211,211,213,214,214,214,215,213,190,157,144,130,118,122,152,152,126,91,92,162,198,199,197,195,192,189,187,210,211,212,213,214,215,215,215,214,202,165,148,138,121,110,125,122,96,84,137,191,200,198,196,194,191,187,182,210,212,213,214,215,215,215,215,215,206,179,159,141,116,98,100,91,76,122,186,201,200,198,195,188,176,153,128,212,213,214,214,214,215,216,216,215,199,181,168,145,121,104,94,81,92,172,202,201,195,186,168,137,105,77,59,211,212,214,214,214,215,216,216,213,191,176,172,153,135,115,95,76,117,193,200,180,153,127,99,72,56,45,40
23,174,174,174,173,174,175,175,174,171,171,171,168,168,167,166,166,165,164,161,159,158,156,154,152,152,144,27,2,177,177,177,176,176,177,177,177,175,174,174,173,170,169,169,168,166,166,163,161,161,159,157,153,157,137,11,0,178,178,178,178,180,179,179,178,179,177,177,176,175,173,172,170,167,167,166,164,163,161,160,156,167,109,0,0,182,181,181,182,183,183,184,183,181,179,177,177,178,176,176,174,173,169,168,167,166,165,162,157,171,84,0,0,186,184,184,185,186,185,185,185,184,182,182,180,169,171,174,171,165,174,172,169,169,166,164,160,166,55,0,0,186,187,187,186,187,186,186,186,185,183,184,169,133,126,141,139,124,104,166,173,169,168,167,164,161,29,0,0,188,188,190,190,190,189,187,188,187,187,178,154,161,136,133,145,141,73,91,187,169,170,169,167,171,51,0,0,191,190,191,191,191,192,191,190,190,189,178,161,142,99,75,110,100,100,45,134,185,170,170,167,175,85,0,0,192,191,192,192,192,193,193,191,191,186,180,155,122,65,104,124,129,97,82,49,150,180,171,168,172,115,70,0,193,192,193,193,194,194,194,193,192,182,176,135,125,67,184,194,193,153,98,58,122,185,173,171,172,138,107,33,195,194,194,194,194,195,196,195,193,174,165,120,116,107,198,189,189,194,179,160,179,179,175,174,174,150,88,134,195,195,195,195,197,198,196,198,187,170,157,110,100,145,176,160,158,140,151,191,182,179,177,175,176,154,121,126,197,197,198,198,198,198,197,197,170,159,146,128,132,144,149,150,152,129,65,174,179,180,178,176,177,165,146,142,199,200,200,199,199,198,200,172,140,140,147,158,169,178,176,166,148,118,63,159,164,141,179,178,175,176,158,107,200,201,201,199,199,202,191,169,152,143,145,148,158,153,140,130,118,118,75,128,178,117,143,187,177,175,175,126,201,202,202,201,201,203,190,168,154,139,131,139,147,149,154,148,128,115,83,50,133,92,115,192,177,177,176,169,203,204,204,203,202,206,182,173,177,148,138,138,145,153,145,142,139,72,45,12,63,35,111,195,179,179,176,175,205,206,208,208,204,210,174,172,173,141,133,142,152,154,148,143,127,58,20,6,14,46,175,185,182,180,177,175,206,207,208,208,206,211,176,153,171,161,162,163,157,155,143,128,86,40,23,16,25,164,194,183,183,182,179,176,205,207,207,206,205,210,174,148,181,173,166,159,128,112,93,58,53,44,25,12,132,201,184,184,184,182,179,175,207,207,206,207,207,211,172,152,174,162,154,141,108,64,23,28,55,36,16,50,190,186,185,183,181,177,178,179,208,209,209,208,207,213,172,154,163,153,152,143,109,51,12,32,28,25,16,103,203,185,185,181,180,184,178,154,208,209,209,209,208,213,169,155,157,152,156,154,99,32,7,10,17,34,22,152,199,186,185,192,189,144,99,111,207,208,208,208,207,213,170,152,154,165,169,142,80,42,18,23,39,34,48,192,190,195,192,140,93,43,103,120,216,217,218,218,216,222,168,145,158,173,164,122,75,49,25,28,47,21,112,213,192,158,92,24,19,20,112,132,148,154,158,162,168,176,145,145,165,174,157,111,68,52,29,28,31,45,185,158,87,34,14,17,14,6,87,146,76,76,74,73,77,74,117,153,162,165,146,103,66,49,27,24,27,51,74,33,7,25,11,14,4,4,39,147,95,95,97,95,90,89,133,154,155,150,123,90,56,41,24,18,30,26,29,12,4,27,7,7,4,5,2,88
22,172,174,176,179,184,185,187,190,192,193,192,198,197,197,196,193,200,197,200,202,200,201,201,200,200,200,200,199,174,176,180,182,184,188,190,193,196,198,149,184,204,200,209,146,185,207,191,191,206,204,202,203,203,203,202,201,175,178,182,184,187,191,194,194,201,192,125,175,208,206,217,131,175,217,186,138,206,206,204,205,206,206,205,204,177,181,184,187,190,194,196,196,206,189,111,178,209,213,214,138,184,220,190,126,202,210,207,207,208,209,209,207,180,184,186,189,192,196,198,199,210,192,114,180,212,217,207,140,192,223,189,128,201,212,210,211,211,212,211,209,182,185,188,190,194,197,202,201,212,205,118,178,214,219,194,138,198,223,193,137,205,215,212,212,213,212,212,211,184,187,190,193,197,200,205,204,215,215,122,171,218,219,179,136,199,224,186,138,213,216,215,214,214,213,214,214,186,189,192,196,198,203,207,205,218,216,121,169,226,207,164,139,203,225,187,140,215,218,217,217,217,217,217,217,188,191,194,197,200,204,207,208,215,229,147,159,217,191,162,137,210,227,185,142,220,218,217,218,219,218,219,218,189,193,196,198,202,205,208,210,214,224,183,156,142,165,176,140,218,229,177,150,227,217,219,221,220,220,220,220,191,194,197,200,204,207,210,212,216,226,202,182,165,154,157,155,226,223,165,160,231,219,222,223,223,223,222,221,192,195,198,202,205,209,213,211,224,238,214,202,216,198,138,149,218,210,155,176,232,222,224,223,224,224,224,224,194,197,200,203,206,210,213,216,216,191,212,147,205,203,157,111,164,174,130,192,232,224,225,225,224,225,225,224,196,198,203,205,208,212,214,218,221,193,194,121,117,204,188,138,111,134,116,205,232,225,225,227,226,226,226,225,197,199,203,206,209,213,214,224,226,178,181,156,81,146,217,174,123,106,117,220,230,227,227,227,228,228,227,227,197,201,203,208,211,215,215,228,225,184,160,141,112,128,232,204,153,118,117,226,231,229,230,230,230,230,229,229,199,202,205,208,211,216,216,235,231,184,144,135,123,203,234,202,166,137,119,228,232,229,230,232,232,232,231,231,200,203,205,209,211,215,217,237,222,180,155,157,166,241,226,187,157,130,122,231,232,231,231,232,232,233,232,231,201,204,206,210,212,217,218,231,218,178,175,152,193,239,209,177,143,114,144,240,231,233,232,233,233,234,234,233,201,205,209,211,214,218,219,228,214,176,175,155,210,239,194,164,138,109,161,245,232,235,234,235,235,235,235,233,200,204,208,211,214,218,221,225,213,177,190,163,218,236,186,154,129,106,169,246,233,236,236,237,236,236,236,235,200,203,206,210,214,217,220,220,213,185,199,166,208,218,178,149,127,102,184,245,234,237,237,237,237,237,236,236,200,203,207,210,213,216,220,219,213,190,197,167,200,201,165,144,123,106,201,240,234,236,237,237,238,237,236,235,201,205,209,212,214,218,221,222,218,191,180,153,182,181,151,143,121,117,223,237,236,237,237,237,238,237,237,237,202,206,210,212,215,219,220,219,217,187,161,152,184,165,152,147,111,159,242,235,237,237,237,238,238,237,237,237,201,205,209,212,217,220,216,222,226,198,177,170,191,153,162,130,113,218,240,236,236,237,238,238,238,238,237,236,203,207,212,215,219,222,214,220,225,205,195,177,183,150,157,106,167,244,234,235,237,237,238,239,238,238,238,238,177,183,189,195,199,201,202,218,204,193,198,173,175,152,134,107,204,240,235,235,237,238,237,238,239,239,238,236
16,175,175,175,175,176,176,177,177,177,178,177,177,177,178,178,178,178,178,178,179,179,177,178,179,179,177,178,178,176,176,177,177,177,178,178,178,179,179,178,178,178,178,178,179,179,179,179,181,181,179,180,180,180,180,180,179,177,177,177,178,179,178,178,179,180,181,179,180,180,179,180,179,180,180,181,182,181,181,181,181,181,182,181,180,177,178,178,178,179,179,179,180,181,180,181,181,182,181,180,182,184,185,182,181,181,181,182,182,182,182,182,181,177,178,179,179,180,180,180,180,181,181,183,183,182,181,179,166,165,165,180,188,181,182,182,182,182,182,182,181,177,178,178,180,181,180,181,180,181,181,179,173,170,184,193,153,136,127,116,155,189,187,181,183,182,183,183,181,177,178,179,180,181,182,182,182,182,182,176,156,165,197,193,169,152,140,110,82,114,171,190,182,183,184,183,182,177,178,180,181,182,183,181,175,168,201,189,164,180,199,184,174,164,140,104,98,78,87,144,190,182,183,183,182,179,179,180,181,183,180,191,172,172,193,186,171,183,199,171,165,157,134,91,103,89,84,76,134,191,183,184,184,180,180,181,182,183,180,203,183,177,186,185,182,177,188,160,160,147,122,88,93,85,88,87,72,136,194,182,185,181,181,182,183,181,182,189,182,171,186,191,186,180,184,163,157,139,109,86,84,80,86,87,84,68,160,192,185,180,180,181,181,184,187,180,188,182,178,193,187,183,194,176,158,132,100,82,75,76,85,84,85,73,107,194,185,179,179,180,179,192,184,179,189,195,180,186,186,184,192,179,154,120,94,73,62,78,88,87,83,76,86,185,186,179,180,181,180,186,187,183,183,193,180,188,192,190,189,178,145,107,86,55,60,79,90,93,95,76,96,191,184,180,181,182,182,182,188,193,185,195,189,160,199,196,187,179,138,97,63,33,61,75,85,99,95,78,106,194,183,181,180,182,182,182,189,194,196,171,183,165,189,196,189,181,132,87,36,28,52,66,82,105,88,78,112,192,184,181,181,181,183,183,182,184,204,145,153,185,181,191,194,176,125,79,36,25,39,58,90,112,85,74,137,194,185,181,181,182,182,183,182,172,183,201,176,170,181,194,197,170,122,75,51,39,31,64,110,112,85,75,155,194,187,182,182,183,184,183,183,176,162,186,183,175,179,197,197,165,117,73,66,68,51,85,134,123,90,72,153,194,186,173,175,177,178,180,183,186,174,175,176,167,159,189,195,162,108,74,75,76,61,105,155,149,109,69,161,194,185,107,111,113,115,118,123,125,127,129,129,106,109,179,196,160,99,79,82,82,74,116,156,162,134,79,148,191,199,95,95,95,94,92,94,93,91,92,92,94,87,176,202,161,96,99,91,86,85,122,154,167,161,103,140,205,218,100,101,101,100,98,100,100,100,100,100,105,88,165,206,157,102,143,107,97,85,109,146,162,171,127,151,207,214,97,98,99,99,99,99,100,99,100,100,103,91,143,204,152,111,172,123,111,100,85,125,157,153,121,107,207,200,98,98,98,100,100,100,100,100,101,102,105,91,133,217,143,127,190,144,126,115,96,85,126,133,101,129,179,182,97,98,97,97,98,100,100,99,101,101,104,92,131,211,111,165,196,160,140,130,108,84,83,92,94,188,144,161,97,97,97,97,99,99,99,99,101,101,101,98,109,130,151,200,192,170,151,139,116,90,82,77,88,206,178,144,96,98,97,99,99,97,98,101,101,100,100,102,97,101,194,202,196,176,157,145,125,94,83,79,90,210,203,179
18,158,161,165,167,171,173,177,181,183,184,188,190,191,193,195,195,195,195,196,194,195,196,196,197,197,198,198,198,159,164,166,169,172,175,179,183,187,188,190,191,193,195,195,195,197,198,200,202,196,199,200,199,200,200,200,200,161,164,167,171,174,178,181,184,189,191,192,194,196,197,200,200,199,187,158,178,210,200,199,207,201,203,204,203,163,165,170,172,177,181,182,186,190,190,196,197,198,199,196,194,224,185,136,100,161,166,140,171,213,204,206,206,163,168,172,176,179,182,184,188,191,194,197,200,201,200,160,132,188,164,101,100,72,142,140,93,177,214,206,208,167,170,172,177,181,184,189,191,195,196,198,192,211,222,153,123,168,142,87,88,69,137,164,102,103,220,207,208,170,172,175,180,184,188,192,193,197,198,205,161,138,195,181,153,177,150,127,118,98,104,137,106,87,215,210,211,171,174,178,181,186,191,192,196,198,204,222,179,144,122,187,168,150,178,169,168,158,121,88,81,92,216,213,213,172,176,179,182,187,190,194,198,198,211,214,213,185,124,127,172,124,152,190,182,181,143,82,51,92,221,214,214,174,178,181,185,188,191,196,198,202,212,175,206,183,151,87,125,139,96,156,182,176,136,92,52,93,226,213,216,175,179,183,187,192,196,199,198,203,213,137,134,167,130,68,80,127,78,81,139,165,153,114,58,111,230,213,218,176,180,184,189,193,197,199,202,204,216,162,124,151,95,56,62,98,69,51,83,175,176,134,70,103,233,215,220,177,182,184,189,193,197,199,202,204,221,197,151,138,94,60,50,89,64,38,55,168,198,150,102,66,203,224,218,179,183,188,190,194,197,200,204,206,222,187,137,120,96,64,44,95,72,22,140,204,212,176,120,63,110,233,219,181,184,188,192,196,199,203,206,206,216,209,180,138,102,73,61,75,49,121,223,221,204,170,118,84,91,229,223,183,185,188,192,196,201,204,209,207,219,216,186,141,105,86,79,69,112,214,236,229,205,156,109,80,111,234,221,182,185,191,193,196,201,205,209,208,221,220,193,151,121,105,109,111,185,231,239,213,189,147,96,68,135,237,220,184,187,192,194,198,202,205,209,211,217,221,201,169,146,136,111,123,197,230,231,193,158,125,92,62,166,238,223,183,188,191,195,198,203,206,210,209,215,217,202,178,152,139,121,123,181,232,224,181,148,111,86,67,187,237,226,182,186,193,197,200,203,207,212,213,212,215,205,182,152,145,147,121,168,231,212,165,131,100,79,77,211,233,228,182,186,192,195,198,202,206,208,213,213,210,203,187,163,170,160,120,147,230,191,152,113,92,73,96,230,230,230,182,186,190,193,198,201,207,205,211,214,207,198,190,174,165,167,129,131,215,173,134,100,84,68,120,241,227,230,183,187,191,195,198,201,208,208,210,212,210,199,193,177,163,162,136,114,193,160,111,91,84,64,145,238,226,230,185,189,194,197,198,204,208,209,211,216,214,208,202,180,159,148,124,95,169,135,93,82,83,73,195,234,229,230,185,189,194,197,200,205,207,210,212,214,207,222,201,168,143,123,91,93,140,111,92,87,70,125,238,230,231,231,185,189,193,197,201,204,207,209,213,211,206,227,195,161,138,104,95,98,131,104,92,86,77,196,233,228,230,231,185,190,193,197,201,206,207,210,214,208,213,229,200,172,152,122,107,111,131,95,98,63,128,239,228,229,230,231,184,190,192,196,201,205,206,209,212,204,215,221,208,182,167,125,99,129,119,97,85,60,182,234,225,230,230,231
24,171,172,174,174,174,175,177,177,177,177,177,177,177,177,177,176,175,174,173,171,171,170,169,167,166,165,164,162,175,176,177,178,178,179,179,180,180,180,180,179,180,180,179,179,179,178,176,175,174,173,171,172,171,167,167,166,178,179,180,181,182,182,182,184,184,184,184,182,181,183,184,182,181,180,180,179,178,177,174,163,164,174,171,169,180,182,183,183,185,186,187,187,186,186,185,186,186,185,186,185,184,184,182,181,180,178,182,154,107,175,173,171,183,185,186,187,187,187,187,187,188,190,190,188,188,187,187,187,186,186,185,184,183,179,188,157,90,168,177,174,185,187,187,188,189,190,191,191,192,188,185,194,189,189,189,189,188,187,187,186,186,182,194,156,92,171,180,177,188,189,190,190,192,194,194,193,196,183,119,177,199,193,195,194,193,191,190,188,188,186,198,144,98,181,181,179,191,192,194,195,195,194,195,195,199,173,111,121,204,194,197,196,195,194,194,193,190,192,203,141,107,190,183,181,194,194,196,197,197,197,197,196,201,186,139,93,189,200,196,198,198,196,195,194,189,199,194,123,117,196,184,183,196,197,198,197,199,200,200,200,200,199,160,89,161,209,197,199,200,200,196,197,196,213,179,96,134,199,185,187,198,199,201,201,201,201,201,201,201,204,178,109,122,213,199,203,200,195,204,194,151,159,181,90,164,197,189,189,200,201,202,203,203,202,203,203,202,205,190,141,91,197,208,201,175,144,163,177,132,79,122,104,189,196,193,191,203,203,203,204,204,205,205,206,205,207,198,155,83,153,219,186,176,159,136,132,129,127,81,101,202,195,195,193,203,204,206,206,207,207,207,207,207,208,204,170,122,111,213,175,188,157,149,143,153,158,69,118,211,194,195,194,205,207,207,208,208,209,209,209,209,208,210,189,161,90,149,146,190,175,134,139,141,139,84,123,212,196,197,195,207,207,209,209,209,210,211,211,210,209,213,202,164,119,125,129,164,190,118,65,117,170,115,85,205,200,200,197,207,208,209,211,211,211,211,211,212,213,215,205,188,180,131,102,124,177,109,51,88,173,142,76,150,212,198,198,210,211,213,213,214,213,213,214,214,214,215,207,199,178,110,79,112,155,90,50,114,190,181,112,81,205,201,200,211,212,214,215,215,215,216,216,216,216,216,214,200,166,135,116,118,153,108,77,193,198,176,117,73,194,204,201,212,214,215,216,216,217,218,217,218,218,218,218,201,189,176,131,115,154,112,158,210,185,160,90,82,207,202,202,212,214,216,217,217,218,219,219,218,218,218,220,199,191,193,142,127,102,147,214,207,171,147,81,102,218,202,203,210,212,215,215,216,218,217,217,218,218,218,221,202,185,195,162,141,99,191,210,195,167,138,75,125,220,203,203,212,214,215,216,217,218,217,217,218,219,219,222,206,183,178,170,154,105,171,205,186,156,126,63,143,218,202,202,214,214,215,217,218,218,218,219,220,220,220,223,211,177,178,177,170,124,155,207,184,143,107,57,176,216,205,204,214,215,216,217,218,219,220,220,220,221,222,222,221,189,183,174,179,141,126,193,165,122,77,71,210,208,207,206,222,222,223,223,224,224,225,225,224,224,225,224,228,201,189,181,177,144,105,158,136,98,49,105,223,205,205,208,175,179,184,188,193,196,199,204,207,210,214,215,220,204,191,178,162,138,115,120,132,87,49,179,223,213,214,203,106,105,104,107,108,109,112,116,117,118,121,124,119,165,202,174,163,158,132,118,136,75,67,160,163,162,145,103
24,98,106,113,118,121,126,128,130,133,136,138,141,144,146,148,148,150,151,153,154,156,157,158,158,158,158,157,158,100,108,114,119,123,127,129,132,135,137,139,145,146,148,149,151,152,154,156,158,159,159,160,158,158,158,159,160,103,110,116,120,124,128,130,134,137,139,142,145,148,149,150,153,153,155,158,159,160,160,160,160,161,161,161,161,104,110,118,123,126,130,130,134,137,140,143,147,149,151,151,154,155,158,159,160,161,162,163,160,163,164,163,164,106,112,119,124,128,130,134,135,140,143,146,147,150,150,152,155,158,159,159,161,163,165,165,163,165,164,164,165,107,114,120,126,129,138,126,138,140,144,146,150,151,152,155,158,159,160,161,162,163,165,164,165,166,166,166,165,107,115,121,123,148,145,86,135,143,145,148,152,153,155,158,159,160,161,164,164,164,166,166,167,168,168,167,169,109,117,123,125,168,115,84,140,143,147,149,152,155,156,159,159,162,164,164,167,170,171,167,168,170,170,169,170,111,120,120,140,170,93,99,146,143,150,154,154,156,161,162,161,162,165,165,155,131,146,171,169,171,170,171,171,111,121,116,163,158,79,118,147,148,144,135,154,154,135,149,167,164,169,139,101,78,87,171,173,172,172,172,172,112,121,122,184,136,112,130,131,169,146,96,129,155,123,100,149,174,157,104,72,73,129,175,172,173,174,174,173,115,119,132,188,137,183,144,119,168,143,86,134,144,125,85,106,189,137,88,71,151,179,173,173,174,174,174,174,116,116,151,185,172,192,154,120,161,132,77,128,133,105,71,142,167,115,73,112,186,171,175,176,176,175,175,176,117,115,164,184,170,211,154,113,155,125,69,59,114,108,116,155,122,89,73,162,177,176,177,178,177,178,178,177,119,115,173,199,166,199,147,99,161,108,88,102,144,150,132,126,112,70,109,185,176,179,179,178,178,178,179,179,117,127,186,185,162,178,130,83,155,162,172,176,153,129,110,98,102,71,151,185,178,179,179,180,180,180,179,180,110,156,165,148,134,152,139,112,184,203,185,166,143,119,96,88,84,85,180,180,181,180,180,181,182,182,181,181,116,189,169,143,124,123,142,192,209,194,184,168,135,108,86,84,68,123,191,180,183,182,182,183,183,183,182,182,141,209,169,149,135,113,142,215,194,182,172,147,122,98,81,78,63,157,187,183,183,184,185,185,184,184,184,184,176,212,170,162,152,163,198,206,186,167,156,131,106,89,79,76,69,168,188,184,184,184,185,186,186,186,186,185,197,213,180,171,161,187,199,184,167,151,142,118,95,84,79,71,88,186,184,185,186,186,185,188,187,186,187,186,201,223,190,173,159,175,185,172,161,138,133,107,89,77,74,62,143,190,184,186,186,187,187,189,189,187,187,188,189,228,194,181,166,169,181,176,155,137,126,100,82,72,54,110,189,185,186,187,188,188,189,189,190,189,189,189,164,219,189,175,175,165,164,170,144,122,111,91,69,58,117,181,184,185,187,188,190,191,190,189,189,190,192,191,150,200,192,179,180,165,147,161,143,118,102,79,50,118,189,182,185,187,188,189,189,191,192,191,192,192,191,192,140,196,194,180,169,163,140,152,137,116,97,59,79,177,180,183,186,188,188,189,190,191,192,192,192,193,193,192,141,204,196,173,154,162,140,141,132,111,97,57,118,188,180,184,186,188,189,191,192,191,192,192,193,194,194,194,147,205,197,165,144,165,137,133,133,108,90,61,127,187,180,185,188,189,190,192,193,193,193,194,194,194,195,195
22,86,90,97,106,115,123,129,132,136,141,145,149,151,153,157,159,159,161,161,160,160,161,159,158,158,158,157,156,87,91,98,109,118,125,131,134,138,143,147,151,154,157,159,161,161,163,164,164,164,164,162,161,161,161,160,159,88,93,98,110,119,128,133,136,141,146,151,154,157,158,161,163,164,165,166,167,167,166,165,165,165,164,164,163,89,93,99,111,121,130,136,138,142,148,154,155,160,161,163,165,166,168,168,170,172,170,169,169,167,169,167,166,90,94,102,113,123,134,139,140,145,150,155,178,138,156,167,168,169,171,174,164,153,174,173,171,170,152,166,168,90,93,102,115,125,135,139,142,147,151,165,201,118,140,171,169,172,173,190,151,102,175,174,182,167,102,144,173,90,94,102,116,126,135,140,143,149,154,168,209,129,134,175,172,175,180,190,131,101,181,179,192,160,95,159,175,91,94,103,117,129,137,141,145,152,156,167,214,148,129,177,176,176,190,188,111,133,185,197,183,122,114,180,176,91,95,105,118,130,139,143,147,154,159,168,220,166,121,178,178,179,187,170,96,158,191,204,172,107,158,182,178,92,95,106,120,131,140,144,148,156,161,167,217,169,116,172,180,185,194,154,86,180,203,179,139,117,184,182,180,93,96,107,121,132,141,147,150,157,164,167,213,187,128,161,183,195,206,139,92,217,217,169,102,153,188,184,183,92,96,107,121,133,143,149,152,159,166,167,208,200,146,148,187,193,195,101,130,232,208,150,104,185,186,187,185,93,96,108,122,134,145,150,152,160,167,169,189,197,135,110,174,181,186,159,202,211,180,109,132,195,189,188,187,95,97,109,123,135,147,151,154,161,168,171,171,195,129,134,183,189,197,212,211,192,138,89,177,194,190,189,188,93,98,110,125,137,147,151,156,161,173,187,145,182,155,158,205,189,204,205,204,166,102,129,200,194,193,190,190,93,97,111,126,137,148,152,156,160,193,197,168,150,154,138,165,181,204,198,180,141,93,168,201,195,194,192,192,94,98,111,126,138,149,154,158,163,191,189,191,181,175,133,84,135,174,174,140,127,90,184,201,198,196,194,193,94,98,113,126,139,149,154,159,164,183,195,175,177,164,129,105,85,94,121,117,107,90,197,202,200,198,196,195,94,99,113,127,142,150,155,159,164,188,191,170,147,141,149,138,111,86,81,76,99,86,195,204,200,198,198,197,94,98,113,129,141,150,156,160,166,186,227,194,144,138,149,158,137,114,106,79,67,77,190,204,202,200,199,199,94,99,113,128,141,151,156,160,167,180,234,191,166,165,194,198,156,131,119,75,56,69,192,205,203,201,200,199,94,99,114,129,142,152,156,160,168,177,233,200,177,199,227,215,173,139,116,72,54,81,204,204,203,202,200,201,94,98,114,129,143,153,156,160,169,175,227,208,182,198,227,194,171,130,109,76,51,104,212,205,204,203,202,201,92,99,114,129,143,152,156,162,170,173,215,220,199,190,225,182,172,152,109,77,50,114,214,207,206,204,202,201,90,97,114,129,143,152,156,162,170,175,200,224,207,176,218,188,167,156,110,70,49,134,213,208,207,205,203,202,88,96,114,129,142,152,154,162,171,178,191,219,206,162,194,179,151,136,94,63,55,172,211,206,206,204,203,202,88,95,113,129,142,152,155,162,172,165,139,196,195,148,149,146,122,101,74,63,78,203,209,207,207,204,204,203,86,93,112,128,142,151,155,162,176,101,18,157,177,129,137,141,126,97,79,61,106,215,209,207,207,205,204,204
5,177,181,183,186,188,190,193,194,195,195,196,197,197,196,198,197,197,198,197,199,198,197,197,196,197,198,198,198,179,183,185,187,191,193,194,196,197,198,199,199,199,198,200,200,200,200,200,201,200,200,200,200,200,200,200,200,181,182,186,189,193,194,196,198,199,199,200,200,201,201,195,193,203,202,202,202,202,203,204,203,202,201,201,201,183,185,188,191,194,196,198,199,200,201,201,204,200,212,185,142,207,204,204,204,205,205,205,206,204,203,203,202,184,188,191,192,196,198,199,203,204,203,204,202,212,215,163,158,208,205,206,206,206,208,208,207,207,206,204,204,186,189,192,195,199,200,204,182,195,207,205,208,233,165,145,207,208,206,206,205,207,205,205,210,209,208,207,206,188,190,193,196,200,198,218,150,164,213,201,233,212,128,193,213,207,206,214,216,212,161,162,218,209,210,210,208,188,191,194,197,198,206,215,129,183,212,209,224,161,153,217,207,208,224,224,189,171,146,187,215,211,212,212,210,189,193,196,199,198,222,179,135,212,209,207,179,131,194,214,205,220,219,165,137,185,205,216,212,213,213,213,212,189,193,197,199,198,227,166,154,217,208,188,150,137,218,201,203,196,145,147,203,219,215,213,215,213,213,214,213,191,194,198,200,200,228,168,158,219,203,183,159,144,217,189,199,138,137,213,218,213,214,214,216,216,215,215,214,192,194,197,200,203,224,172,152,218,201,186,150,155,194,181,184,123,187,221,214,216,214,216,216,216,217,216,214,192,195,199,202,203,214,208,155,193,206,188,128,152,161,177,160,143,213,217,218,217,216,213,218,219,217,217,217,193,196,200,204,205,205,221,192,152,194,168,152,126,138,163,144,173,223,215,212,217,224,202,165,220,218,217,217,192,195,199,200,206,200,211,224,174,155,149,141,130,134,134,144,195,217,210,218,228,206,213,165,188,227,217,218,192,196,198,201,205,204,206,233,209,162,129,121,123,124,126,153,176,204,218,203,177,154,183,199,161,199,222,217,193,197,199,201,204,207,206,227,219,168,124,120,120,118,125,152,164,171,184,142,146,198,201,195,150,174,223,216,194,198,201,202,204,207,206,221,224,168,121,116,117,115,123,138,146,131,142,173,214,207,206,163,157,223,218,218,194,198,200,202,205,207,206,218,228,174,122,112,116,117,120,130,126,138,206,224,211,204,178,133,214,223,219,219,197,201,203,206,207,208,208,215,229,182,128,111,115,119,115,121,104,167,232,215,204,193,132,154,228,216,219,219,177,183,190,193,196,201,201,208,227,190,136,112,114,115,119,136,143,151,196,207,206,166,127,208,230,223,224,224,120,121,124,126,128,136,127,183,237,196,146,113,116,115,118,139,163,174,152,195,207,150,141,195,194,198,200,202,125,124,123,123,122,125,112,182,235,202,157,117,112,120,129,150,168,179,165,185,185,131,121,122,124,125,128,127,124,125,125,132,131,132,120,188,231,206,163,123,114,119,150,171,183,175,148,149,148,129,134,131,135,133,129,127,123,123,124,126,127,131,120,179,228,209,169,134,125,115,159,178,179,159,131,119,124,136,140,135,133,129,152,188,124,124,125,126,125,129,118,177,221,204,171,146,132,112,152,175,168,140,119,122,131,133,132,123,149,194,220,212,124,125,125,126,125,127,119,195,225,201,176,151,131,114,134,155,145,126,119,131,135,131,127,179,231,225,208,194,123,123,125,126,125,126,122,208,224,197,171,140,122,111,121,131,125,120,129,133,136,132,196,241,220,206,198,178
10,91,100,114,120,124,130,134,136,140,144,146,148,150,151,153,155,158,160,161,162,163,164,166,166,168,169,170,171,92,101,115,122,126,131,135,137,141,144,147,148,150,153,156,157,152,154,164,163,165,167,168,168,170,171,173,174,93,105,119,124,127,133,135,138,143,147,147,150,152,155,156,167,153,113,164,165,167,168,170,171,173,175,175,176,96,106,119,124,128,133,138,141,144,146,149,152,154,157,155,177,164,99,151,170,168,171,172,174,175,175,176,178,96,109,120,125,129,134,138,142,145,147,149,153,156,157,155,178,168,105,139,173,169,173,174,175,176,176,178,179,97,110,121,125,129,136,141,143,145,148,150,151,154,162,158,171,175,121,127,177,169,173,174,176,177,178,178,179,100,111,123,125,132,137,141,143,145,148,150,155,162,132,156,174,187,139,111,177,172,174,175,178,179,178,179,181,102,115,124,128,133,138,141,144,147,148,150,157,173,106,114,179,184,153,103,168,176,175,177,177,179,181,182,182,102,116,125,128,134,139,140,147,153,154,155,171,156,112,82,173,174,149,100,162,179,178,178,177,180,181,181,181,104,117,125,129,133,141,156,126,115,112,122,163,170,136,84,148,171,136,95,150,182,178,179,180,181,182,183,183,105,118,125,129,133,145,146,104,75,71,67,92,173,154,87,115,159,121,96,138,184,177,181,182,182,185,185,185,107,121,125,131,136,143,137,112,83,69,94,77,140,169,103,107,136,102,96,123,188,178,182,183,184,185,186,185,108,120,126,132,136,142,149,149,146,124,95,68,129,177,120,94,102,87,96,110,187,179,183,184,185,186,186,185,108,120,125,132,137,143,147,143,180,172,94,61,157,179,132,77,70,85,98,101,183,182,184,185,186,186,185,186,108,121,125,131,137,140,145,144,181,165,103,50,173,182,140,88,63,88,100,86,172,185,184,185,187,186,186,186,111,122,126,132,139,139,167,166,179,175,102,41,193,182,138,94,64,83,98,76,157,191,184,186,187,188,188,188,112,123,127,132,140,136,182,180,170,169,89,98,199,169,134,88,64,74,92,66,145,193,183,186,187,188,189,190,113,122,127,135,139,139,161,181,164,159,117,195,184,161,140,92,69,74,79,68,169,188,184,186,189,189,189,190,115,122,127,135,140,144,149,158,136,159,174,212,182,155,136,98,73,75,65,96,192,182,185,186,188,190,190,191,116,122,129,134,140,145,148,161,134,179,208,204,179,150,128,99,76,72,57,139,192,183,185,186,188,190,191,190,115,122,128,133,139,146,147,181,166,149,205,198,175,148,125,101,77,64,66,176,186,186,186,187,190,191,190,190,116,123,128,134,139,144,147,193,181,141,198,195,176,146,123,103,81,56,101,193,182,185,187,189,189,190,191,191,117,124,128,134,138,143,152,202,189,168,204,189,175,149,125,105,79,53,150,190,182,187,189,190,189,190,191,192,116,123,128,134,140,143,155,209,194,179,196,190,184,152,125,106,70,73,184,184,185,188,188,189,190,191,191,192,118,123,130,137,141,144,155,207,188,186,191,188,192,159,122,105,62,110,193,181,185,186,187,189,191,192,192,193,118,123,128,135,140,143,155,199,179,181,189,189,192,162,123,99,59,150,189,183,187,187,189,189,191,192,192,193,118,123,130,136,140,143,153,179,178,193,192,186,187,156,120,86,84,185,183,184,186,188,189,190,190,191,192,193,117,123,130,136,139,145,148,185,194,200,191,180,181,150,117,74,119,191,181,184,186,188,189,190,191,191,192,193
11,117,122,128,134,139,142,147,150,153,155,156,161,171,147,161,160,160,160,160,160,160,158,157,158,140,162,173,178,121,127,134,140,143,147,151,155,158,160,159,166,188,113,159,165,163,162,161,160,160,159,158,154,154,178,179,184,125,130,139,146,150,154,158,162,164,166,165,172,209,108,141,174,166,166,165,164,164,163,160,156,176,126,175,187,129,134,144,151,156,159,164,167,170,173,172,180,213,105,128,182,171,171,170,169,169,167,165,163,164,169,190,185,133,139,149,157,161,165,170,175,177,180,178,187,206,99,132,188,176,177,176,175,174,173,171,168,166,172,146,178,136,142,154,162,167,171,176,181,183,186,184,197,212,103,139,194,182,184,183,182,180,178,175,172,172,163,146,182,139,147,159,167,172,177,182,185,189,193,187,218,204,86,154,200,189,190,189,188,186,183,181,179,177,174,172,188,142,151,165,172,177,182,187,191,194,199,193,234,204,84,173,204,195,195,195,193,191,189,187,183,182,178,176,197,146,155,169,176,182,186,192,196,199,200,203,211,138,89,181,207,200,200,199,199,198,195,193,190,187,184,180,199,150,159,172,180,186,192,196,201,204,200,236,206,103,84,187,211,204,204,204,204,202,201,199,195,191,188,185,201,153,162,176,184,189,195,201,202,209,210,149,169,139,94,197,213,208,208,208,207,206,204,201,200,196,195,189,199,155,166,179,187,193,199,202,212,250,207,96,95,155,104,188,219,212,211,212,210,209,208,205,201,206,175,105,211,158,169,182,191,196,199,212,171,172,184,137,91,143,107,164,225,213,215,215,214,212,212,212,207,215,123,60,131,160,172,185,192,196,217,232,161,94,120,168,105,111,113,133,228,216,218,218,218,212,200,187,184,176,83,72,62,161,174,187,193,220,225,194,189,154,95,136,115,92,127,101,217,223,222,216,207,208,188,166,165,139,84,71,70,164,177,187,221,226,162,118,160,184,112,91,104,81,153,125,186,230,214,214,213,212,183,155,134,109,74,65,67,165,178,191,231,203,142,106,86,168,117,83,108,66,144,162,110,179,218,224,203,166,130,89,59,57,58,56,64,166,180,190,221,179,120,92,64,137,128,87,122,71,103,152,118,181,213,193,142,99,73,49,52,53,51,57,52,167,182,189,210,175,126,101,80,101,135,98,136,100,154,164,143,173,167,122,71,50,66,62,43,48,51,60,29,166,181,188,214,195,144,113,93,90,110,125,153,146,200,163,123,135,97,48,58,47,50,65,54,38,41,42,38,168,183,191,218,200,154,131,101,102,113,172,215,217,187,141,117,89,57,41,46,58,43,50,59,47,38,37,39,170,184,193,218,206,171,140,108,118,122,198,224,201,166,125,98,34,41,60,36,52,55,42,47,54,39,37,37,162,174,183,210,205,179,145,120,128,127,191,209,176,139,113,85,34,24,58,51,38,53,49,39,44,47,31,37,117,120,114,161,204,185,152,137,132,129,170,196,166,128,102,62,52,17,43,58,45,42,50,42,35,46,34,29,117,118,115,129,194,189,159,148,136,123,158,177,154,118,68,33,63,23,26,54,51,46,43,42,33,37,41,26,119,120,121,123,191,187,165,152,136,111,140,143,121,85,36,26,60,39,14,44,55,44,42,40,35,32,34,34,119,120,121,122,192,196,169,151,132,114,120,121,86,33,38,31,49,55,17,27,53,47,39,42,38,33,29,30,119,120,123,112,179,195,154,136,126,116,118,107,67,30,15,36,41,59,34,15,42,49,37,39,39,32,31,26
8,194,194,194,194,195,194,195,166,141,192,194,194,194,193,192,190,190,189,188,187,185,184,183,182,180,179,178,177,196,195,195,195,195,195,189,144,109,189,196,195,195,196,195,193,193,191,190,189,188,187,186,184,182,181,180,178,197,196,197,197,198,197,178,122,115,197,198,197,197,197,196,196,194,194,193,192,190,189,188,186,185,183,182,181,200,199,199,200,200,194,165,100,147,203,199,199,200,200,199,197,196,196,196,194,192,192,190,189,188,186,185,183,201,201,200,201,201,193,149,88,180,203,201,201,201,201,201,199,199,199,197,196,194,194,193,191,190,188,187,185,202,202,202,203,202,192,145,95,191,204,203,203,203,203,202,201,200,200,199,197,196,196,195,194,193,190,189,187,204,203,203,204,203,189,137,98,197,206,202,181,170,199,202,199,202,202,201,199,192,196,196,195,195,192,191,189,205,205,205,206,205,184,131,95,195,207,191,161,122,141,160,139,170,202,198,194,162,177,199,197,196,194,193,191,207,207,207,207,206,190,159,107,177,205,190,176,141,97,120,117,108,166,145,152,159,137,199,200,198,196,195,193,207,207,208,208,208,194,176,127,160,199,189,190,153,103,97,116,107,151,127,107,154,130,157,202,199,197,195,194,208,209,209,209,209,199,177,147,149,174,180,193,160,108,83,101,130,152,115,88,140,148,111,155,197,199,197,195,210,211,210,210,210,203,188,174,157,155,145,177,162,116,76,81,138,143,101,73,117,165,132,101,161,203,198,196,211,212,211,211,212,205,196,170,145,133,134,149,167,121,74,76,140,131,91,58,114,176,139,87,155,204,199,197,212,213,213,212,213,205,187,150,121,104,105,119,179,151,96,82,140,117,72,49,145,177,121,93,189,202,200,199,213,214,214,214,214,203,190,164,133,98,84,80,167,187,129,89,139,107,62,82,157,157,96,139,206,203,201,200,214,215,214,214,214,198,192,175,136,92,84,85,160,180,129,94,123,116,123,129,159,123,89,187,207,204,202,201,215,215,215,215,213,195,196,176,135,101,85,102,177,148,93,108,133,143,145,118,126,90,113,207,206,205,203,201,215,215,216,216,213,198,196,173,143,107,94,115,167,162,157,173,169,151,137,98,88,70,162,210,207,206,204,202,215,216,217,216,212,198,195,178,146,106,106,149,191,195,201,190,167,146,121,80,63,126,206,210,208,207,206,204,215,215,216,216,212,192,194,183,147,112,125,178,199,203,201,180,157,133,101,64,115,204,212,210,209,207,206,205,215,215,216,216,213,193,189,181,153,122,140,186,198,206,193,167,143,115,75,104,199,212,210,209,208,207,205,203,216,216,217,217,216,197,190,180,155,125,147,182,183,186,170,148,122,85,93,192,212,210,209,208,208,207,205,202,217,217,217,218,216,198,191,182,154,133,147,177,171,164,141,118,85,83,182,214,212,211,209,209,208,207,205,203,216,216,217,217,214,199,187,175,159,146,147,172,162,146,120,82,75,171,216,215,214,213,210,209,207,207,206,205,217,217,217,218,208,196,185,179,172,156,148,163,149,123,91,74,166,216,216,216,215,214,211,210,209,209,207,187,214,216,218,218,200,193,188,186,172,156,155,159,133,95,68,152,218,217,217,216,215,215,212,204,189,173,138,97,150,154,158,162,176,198,196,189,171,157,155,145,112,75,86,186,199,200,201,201,199,178,141,110,85,71,56,52,106,107,108,108,163,202,195,180,165,157,141,127,100,66,79,114,121,124,125,124,110,82,59,53,47,44,47,42
2,138,153,161,162,167,172,178,183,187,191,193,190,195,201,205,201,210,213,215,212,213,216,215,215,216,217,217,218,141,155,163,164,170,176,179,185,187,187,192,219,240,238,221,217,219,185,157,212,210,209,218,214,215,216,216,215,142,155,163,167,173,179,184,184,198,221,236,221,189,167,125,122,150,119,81,133,143,120,198,219,214,215,215,214,145,156,163,168,175,183,182,201,255,248,184,136,114,111,93,87,91,91,94,99,86,87,196,221,214,214,214,214,148,159,166,170,178,181,207,255,238,164,92,75,81,82,80,84,79,71,95,114,132,196,220,214,214,214,213,213,150,162,168,173,181,186,255,248,140,95,77,60,80,69,67,74,80,121,195,218,223,221,218,217,217,218,216,215,154,165,170,178,182,205,255,201,101,77,73,75,85,67,82,78,185,231,224,222,221,221,221,222,218,217,219,217,157,168,173,182,182,221,255,179,102,74,65,77,72,78,79,118,239,226,226,227,227,227,228,223,229,196,214,223,160,171,176,185,183,246,255,146,79,66,68,66,59,76,69,189,241,232,233,231,233,235,227,233,235,159,215,230,164,175,179,187,186,255,251,146,101,86,84,68,69,70,117,246,236,237,237,237,237,237,235,248,195,138,235,232,169,179,183,187,203,255,245,161,115,96,81,73,94,76,168,255,238,242,242,241,241,237,237,235,152,161,250,234,172,181,187,188,237,255,239,162,110,95,74,77,90,73,204,253,243,246,247,245,249,230,221,213,120,173,255,239,177,184,189,192,249,255,233,156,107,93,75,76,80,75,216,255,248,249,248,251,246,214,222,184,105,160,255,243,179,186,192,194,250,255,227,150,108,88,76,70,84,90,154,246,243,255,255,255,227,228,222,168,98,198,255,247,181,189,195,196,245,255,227,162,117,91,76,74,95,119,111,140,165,171,213,216,221,230,219,143,150,255,252,254,184,191,199,198,249,255,227,167,121,97,76,80,116,132,130,150,173,175,155,191,228,219,177,125,249,255,255,255,188,193,201,203,255,255,228,173,129,101,75,91,125,122,131,159,182,196,192,178,210,197,119,206,255,255,255,255,191,196,204,206,255,255,227,178,142,107,79,98,123,125,157,180,192,180,178,161,164,134,157,255,255,255,255,255,194,199,209,209,255,255,227,184,150,111,86,103,129,146,182,186,181,165,148,139,121,102,254,255,255,255,255,255,197,202,211,216,255,255,223,190,160,114,93,106,132,154,173,178,164,150,134,114,95,211,255,255,255,255,255,255,200,204,213,217,255,255,219,200,170,119,107,110,130,155,160,166,156,139,115,122,238,255,255,255,255,255,255,255,204,206,218,218,252,250,225,213,174,127,118,110,134,151,157,157,149,117,137,255,255,255,255,255,255,255,255,255,206,210,219,222,254,250,234,212,168,133,126,112,141,146,148,147,120,119,255,255,255,255,255,255,255,255,255,255,210,213,223,231,255,254,230,201,165,142,132,112,135,136,130,112,124,252,255,255,255,255,255,255,255,255,255,255,213,216,224,239,255,255,238,204,165,142,128,115,125,132,96,157,255,255,255,255,255,255,255,255,255,255,255,255,214,219,224,248,255,255,249,204,160,135,123,114,125,100,151,255,255,255,255,255,255,255,255,255,255,255,255,255,216,220,227,251,255,247,230,187,139,121,114,117,110,128,255,255,255,255,255,255,255,255,255,255,255,219,144,91,218,223,230,249,250,238,228,188,132,120,123,129,97,206,255,255,255,255,255,255,255,255,255,188,116,69,58,60
2,164,165,166,167,170,172,172,172,172,172,171,172,171,171,170,166,166,168,166,167,166,165,165,164,164,163,161,160,165,166,168,170,171,172,172,173,173,173,172,173,172,169,172,185,195,187,170,162,164,166,167,165,165,164,164,161,166,167,168,172,172,172,173,174,174,174,175,171,174,190,210,214,201,192,191,149,129,126,148,167,165,165,165,163,168,169,170,172,173,174,174,174,175,176,172,182,220,209,210,209,185,158,148,121,97,99,93,151,170,166,165,165,169,171,172,172,174,176,177,177,176,178,169,212,219,204,210,176,136,111,106,99,96,99,83,135,173,165,166,166,170,171,173,174,175,176,177,178,178,175,178,228,217,206,164,124,93,85,91,90,98,99,118,162,170,168,167,167,171,172,173,175,177,178,178,179,179,173,194,236,214,155,109,94,82,93,97,130,162,161,171,173,171,169,168,168,172,173,174,177,178,178,180,181,182,173,203,232,192,123,86,91,90,97,145,177,176,175,173,172,170,170,170,169,173,174,177,178,178,180,180,181,183,176,225,220,156,98,78,85,87,102,180,174,173,173,173,172,171,171,171,170,174,176,177,178,180,181,181,183,177,197,234,178,113,78,77,73,85,106,178,176,176,175,174,174,173,172,171,170,174,176,178,179,181,182,182,183,183,231,211,146,100,87,91,83,75,122,184,176,177,176,175,174,174,173,171,171,174,177,179,181,183,182,185,178,218,239,189,139,110,102,99,96,82,138,186,177,178,177,175,175,175,174,172,172,176,178,180,181,184,185,185,186,246,229,175,129,106,109,101,100,90,145,187,177,179,178,176,175,176,176,172,171,178,180,180,183,184,186,181,203,252,213,156,119,108,108,99,102,95,148,188,179,180,179,179,177,176,178,177,174,179,180,182,185,185,189,180,223,248,199,145,112,104,102,98,103,97,154,189,180,181,180,181,180,179,170,160,168,180,181,183,186,187,188,186,246,237,187,140,111,101,101,102,104,91,152,190,181,182,181,182,178,163,162,129,132,181,182,184,187,190,182,210,255,220,178,134,107,98,99,98,98,86,126,194,183,183,184,181,159,167,149,115,167,183,184,186,188,191,185,239,247,210,171,131,103,96,94,93,100,93,97,186,186,185,186,155,156,165,114,147,183,184,186,187,190,185,202,254,234,201,163,125,101,93,90,96,103,103,87,144,198,184,150,144,162,131,113,179,178,185,186,187,192,185,224,251,223,191,157,123,100,91,93,97,101,105,99,96,133,143,141,154,146,113,132,185,178,186,187,188,191,188,239,241,214,189,156,121,100,91,99,99,96,100,102,98,100,134,161,151,126,121,169,183,179,186,188,191,189,199,244,231,211,188,151,122,105,95,106,105,103,108,109,106,120,151,159,139,126,173,186,181,181,187,188,192,188,221,243,227,216,192,156,133,110,100,114,117,121,119,119,113,124,152,135,129,176,189,185,182,181,187,190,191,191,241,243,229,217,194,163,138,115,105,121,129,132,121,118,116,122,126,135,182,189,186,187,183,182,189,191,190,202,247,239,228,213,182,151,136,119,111,123,132,132,124,118,112,115,134,185,192,188,187,186,185,183,188,194,184,220,241,233,223,196,160,133,125,119,118,128,129,126,122,109,134,174,189,192,189,188,187,187,184,182,190,188,206,242,229,218,198,164,135,128,124,117,119,122,121,119,111,142,193,196,191,191,190,187,187,187,184,181,189,196,246,230,213,201,179,139,130,131,126,122,120,116,115,121,159,196,195,192,192,192,190,189,188,187,185,184
19,177,181,185,190,195,199,202,204,208,210,211,215,215,216,216,217,219,218,216,217,216,214,214,214,213,212,212,212,178,184,187,192,196,200,203,206,209,211,213,215,216,217,217,219,219,217,217,217,217,217,217,216,214,214,213,213,179,184,190,194,198,202,205,207,209,212,216,217,216,218,220,219,220,220,220,219,219,218,218,218,218,217,217,214,179,185,191,196,201,204,206,208,211,213,216,217,219,221,221,220,220,220,222,221,221,220,219,219,218,218,219,217,182,186,192,196,201,204,207,210,211,215,216,219,221,220,223,225,221,222,224,224,222,221,221,220,220,219,219,217,182,186,191,197,203,206,209,211,213,217,218,217,227,216,162,204,227,223,225,225,223,223,222,222,221,220,218,217,183,188,193,200,205,208,210,212,215,217,220,217,240,225,138,138,232,224,226,225,223,225,224,223,221,221,220,219,185,189,195,201,206,209,212,215,217,217,222,219,248,233,156,109,217,230,226,225,224,226,226,224,223,222,221,221,186,191,197,203,207,210,211,213,220,223,224,219,241,217,158,99,195,236,227,227,227,228,226,222,221,225,223,221,187,191,197,203,207,209,217,221,183,166,189,201,188,177,162,145,159,182,190,182,178,190,167,202,226,206,225,223,187,191,198,203,210,208,231,214,166,163,169,179,187,181,177,166,156,169,194,177,173,181,168,227,236,164,227,225,189,194,201,206,208,221,232,217,182,131,128,131,163,167,169,151,147,151,161,160,156,154,154,174,171,182,232,223,189,195,201,206,210,234,245,227,176,112,101,112,114,115,119,110,108,124,138,142,142,151,160,176,205,229,226,226,189,196,202,204,230,243,246,207,161,125,108,120,123,116,80,125,209,225,229,228,232,238,237,237,235,228,226,227,190,198,199,222,248,246,250,224,172,121,105,105,130,130,105,97,202,246,234,236,235,234,233,231,232,231,229,228,192,196,206,245,246,247,255,236,172,114,100,94,111,136,124,99,88,228,239,235,237,237,235,234,234,233,232,231,194,194,232,249,247,255,255,232,173,118,101,111,106,100,102,118,84,201,248,236,238,239,237,236,234,233,233,232,188,212,251,247,250,252,248,231,185,126,99,95,122,115,90,77,104,236,241,239,239,239,239,238,236,234,234,232,194,242,248,248,250,246,249,243,204,128,102,88,107,121,112,68,171,255,236,240,240,240,239,238,237,236,234,233,234,253,246,249,243,243,251,234,182,133,112,104,99,94,112,84,215,249,240,240,240,241,240,239,238,236,235,234,255,242,248,242,230,229,226,203,159,144,136,122,113,95,76,111,241,243,241,242,241,241,241,240,239,238,236,235,243,240,238,230,227,222,211,195,172,149,133,131,122,108,73,193,255,241,242,244,243,243,242,241,240,239,238,236,236,232,234,227,225,223,211,192,195,171,127,117,124,116,84,214,254,243,243,243,244,244,243,241,240,240,240,239,230,232,232,219,220,219,203,181,183,155,94,91,122,98,139,254,243,246,244,243,243,243,243,242,240,240,240,238,230,235,219,208,206,201,180,154,136,111,70,85,110,103,223,249,243,243,242,242,242,243,243,242,241,239,239,237,231,230,208,183,180,179,149,118,110,96,91,108,140,213,248,241,242,243,243,243,242,243,242,241,241,240,239,239,218,213,199,167,142,141,126,105,99,202,219,224,245,247,241,243,243,244,245,244,243,242,243,241,241,241,240,239,190,200,195,152,104,83,83,61,157,251,241,244,241,242,244,244,246,247,246,245,245,243,243,242,242,241,240,239
21,140,145,148,150,153,154,155,157,158,159,160,160,160,158,158,158,159,156,155,155,153,152,152,151,149,148,147,146,141,146,148,152,154,156,157,159,161,161,162,163,162,162,160,158,153,158,157,156,155,154,154,153,151,149,149,149,143,147,150,153,155,156,158,161,163,163,164,163,164,163,165,172,93,125,165,157,157,156,156,155,153,151,151,150,145,148,152,155,156,157,160,162,165,165,165,165,166,162,170,172,79,116,169,159,160,158,159,157,155,152,152,152,146,150,154,157,158,159,161,164,166,166,166,166,167,164,178,161,82,128,169,161,162,158,154,160,158,155,154,154,147,151,154,156,159,162,163,165,166,168,168,168,171,164,185,158,83,136,171,161,162,145,96,133,165,157,157,156,149,152,156,158,162,163,164,165,167,168,170,171,172,169,188,153,87,149,170,163,158,131,71,123,167,158,159,157,150,154,158,160,163,165,165,167,169,171,173,172,171,171,188,146,85,154,170,164,152,125,78,153,162,159,158,157,150,155,158,161,163,165,167,170,170,171,172,172,170,176,187,142,80,154,173,163,150,109,94,167,160,161,160,159,152,156,159,163,164,166,169,171,171,173,173,174,168,184,188,132,79,162,170,155,148,90,129,172,161,163,162,160,154,159,162,164,166,168,169,171,173,173,171,170,170,195,184,118,92,177,159,150,129,81,157,169,164,164,163,162,154,158,162,165,166,169,172,173,172,179,172,121,117,179,154,93,98,179,155,154,96,100,176,167,166,167,165,164,155,158,163,166,168,171,173,173,173,177,176,129,90,89,88,65,113,175,159,139,78,146,176,168,167,167,165,164,156,160,164,166,169,172,173,174,177,184,173,172,140,107,63,60,114,147,148,105,90,174,172,169,168,167,166,165,156,161,165,168,171,172,175,175,185,195,185,205,181,130,74,66,83,97,108,75,131,181,170,171,170,169,168,168,158,162,166,168,172,173,175,180,182,149,175,184,169,112,75,66,72,78,76,79,167,176,174,173,171,170,170,170,157,162,166,169,173,175,174,191,166,118,161,119,154,130,89,68,60,71,63,112,184,175,175,175,173,170,171,170,160,164,168,171,174,177,176,195,180,141,106,62,135,155,104,72,59,63,62,146,185,177,176,175,174,174,173,171,161,166,168,172,174,175,178,195,155,112,93,65,108,171,120,85,68,64,63,162,183,179,178,175,175,175,174,172,161,166,169,173,175,175,188,198,149,136,126,93,160,181,133,113,78,69,61,162,188,181,180,178,177,176,174,173,160,166,170,173,176,174,195,194,161,150,113,145,217,177,135,124,86,74,70,166,188,181,182,181,177,176,176,175,162,167,170,172,176,177,199,203,180,134,128,209,202,157,126,121,91,77,80,175,184,182,181,182,179,179,178,175,162,167,171,173,178,177,203,216,167,135,148,216,187,156,120,106,96,76,94,185,182,183,182,181,181,179,177,175,163,168,172,175,179,176,205,198,150,156,152,213,183,158,137,91,87,73,114,192,183,185,184,182,181,180,178,177,162,166,171,173,177,177,198,174,175,165,149,213,178,148,131,95,85,72,138,193,184,185,183,183,182,181,179,177,161,165,167,172,175,177,185,185,205,161,164,202,161,133,111,92,87,77,157,191,184,183,181,180,180,179,178,175,161,166,169,172,176,179,180,193,194,150,148,180,147,116,93,87,81,88,174,189,184,184,183,181,181,180,178,176,163,167,170,173,177,180,182,187,172,148,135,160,142,112,99,87,74,100,187,187,186,185,184,182,181,180,180,177
8,181,181,182,185,186,186,186,185,184,183,183,182,182,182,181,179,178,178,177,175,175,174,173,172,170,168,166,166,184,184,185,186,187,186,187,187,186,185,185,184,184,182,181,180,180,179,179,177,176,176,175,173,171,169,168,167,186,186,186,188,188,187,187,187,187,187,186,180,172,182,183,182,182,182,181,179,177,177,176,174,173,171,170,169,186,187,188,190,190,190,189,188,188,187,189,173,132,173,186,184,184,183,181,180,179,179,177,176,175,173,171,170,188,188,190,191,191,190,190,190,190,188,194,159,110,168,187,186,186,183,182,182,181,180,179,179,177,175,172,171,189,190,191,192,193,192,192,192,192,191,196,141,107,178,188,187,186,184,184,183,182,182,181,180,178,176,174,173,191,192,193,194,195,195,194,195,193,197,197,136,117,187,188,189,188,187,186,184,183,183,181,180,179,177,176,175,192,193,194,194,195,196,196,195,193,203,192,129,128,191,190,189,189,187,186,185,184,183,182,182,180,178,177,175,193,194,195,195,196,196,196,196,194,206,182,120,139,194,192,172,169,188,188,186,185,183,182,182,181,179,178,176,194,195,196,197,197,197,197,198,196,210,181,142,153,193,199,173,138,160,180,187,187,185,185,184,182,180,179,177,196,197,197,197,198,198,199,199,198,213,184,165,165,192,194,193,164,135,136,145,180,186,186,186,183,181,180,179,197,197,198,199,199,200,200,200,200,209,189,175,180,202,178,197,187,174,155,106,112,138,140,175,185,182,181,180,198,199,199,199,200,201,201,199,206,203,178,182,193,194,167,156,180,177,158,112,68,72,75,115,185,183,182,181,198,200,201,201,202,202,202,202,206,187,171,175,185,181,149,108,129,187,164,122,69,58,65,80,175,186,184,182,199,201,202,202,203,203,202,211,204,170,153,155,175,167,124,86,81,193,176,129,74,67,72,85,178,186,184,183,200,202,202,203,204,204,205,223,210,180,145,124,164,153,112,89,102,193,182,133,76,58,64,130,188,187,185,184,201,203,203,204,205,204,214,228,207,179,150,127,156,178,166,176,181,177,168,132,84,51,98,180,189,188,186,185,202,205,206,205,206,205,223,223,198,181,155,139,132,193,206,188,189,162,142,128,89,83,172,193,191,190,188,187,203,205,206,207,207,210,228,216,197,182,145,135,171,207,199,171,176,160,120,118,81,134,196,194,193,191,189,186,204,206,207,207,207,214,230,215,198,179,146,169,208,206,189,165,160,152,104,96,72,167,197,195,194,192,190,188,206,206,208,208,208,218,229,216,198,178,160,193,207,197,179,155,146,135,95,74,93,192,197,195,194,192,191,190,207,207,209,208,186,208,225,214,191,172,163,188,191,180,165,143,138,113,79,59,139,200,198,196,195,194,192,190,206,207,210,183,97,126,189,195,175,161,163,170,181,167,150,133,117,87,61,74,182,200,199,196,195,194,192,191,208,209,202,117,75,71,100,157,172,166,163,164,178,159,135,112,85,66,54,134,200,200,199,197,196,194,193,192,208,210,154,78,70,68,67,79,125,151,148,156,165,135,107,87,70,57,99,193,201,201,200,197,196,195,193,193,211,183,96,70,67,64,64,53,43,69,85,116,133,102,76,66,57,88,182,204,202,202,200,198,197,195,194,194,197,119,71,68,64,60,62,60,27,39,43,46,57,60,52,50,104,182,204,203,201,201,200,198,196,194,194,193,141,73,67,66,61,56,59,60,24,29,38,33,28,28,26,81,192,204,203,202,200,201,199,197,196,194,192,191
1,138,123,113,108,110,105,71,108,125,136,145,150,157,161,163,164,168,171,173,174,177,178,179,181,182,183,183,184,140,121,116,107,115,99,75,113,128,135,156,161,134,159,165,168,170,172,174,176,178,180,181,183,184,185,185,185,140,120,121,107,121,92,79,116,128,139,162,176,121,141,160,152,173,174,176,178,179,181,183,185,186,186,187,187,140,121,123,107,125,86,86,115,146,168,136,177,136,137,166,121,162,177,177,179,180,183,185,187,187,187,188,188,140,122,125,108,128,80,92,116,154,175,129,174,148,138,177,125,139,182,178,181,183,186,187,187,188,189,189,189,137,122,125,109,130,75,97,119,151,182,135,167,162,136,179,145,125,180,180,182,185,186,188,189,190,190,190,191,136,126,124,113,128,73,103,119,150,185,133,169,183,143,166,159,121,169,183,184,186,187,189,190,191,191,191,192,134,129,124,117,123,71,108,138,144,190,147,165,188,145,166,179,128,153,188,184,186,189,190,191,192,192,193,193,132,131,121,121,119,67,133,173,136,193,160,153,182,147,164,187,140,137,188,184,187,189,191,193,193,194,193,194,131,133,119,127,113,68,141,169,131,186,163,144,181,153,151,183,150,131,186,187,188,190,192,193,194,194,195,195,130,135,116,132,105,73,139,171,127,179,168,136,185,164,143,185,158,129,182,188,189,191,193,194,194,195,196,196,132,137,114,136,97,76,139,180,129,177,179,129,175,174,138,188,165,127,175,190,190,192,193,194,195,196,197,197,133,139,114,141,90,81,135,192,139,162,187,132,146,175,123,170,170,124,168,193,190,193,194,195,195,196,197,197,136,140,115,143,83,87,128,184,140,143,188,135,137,171,135,170,173,124,152,195,190,193,194,195,195,197,198,197,138,138,116,143,77,94,122,178,156,133,174,158,159,160,170,176,150,123,136,194,190,193,194,195,196,196,197,196,141,136,120,140,72,99,118,180,165,130,168,174,155,145,163,172,139,113,122,187,192,193,195,195,197,197,197,197,142,134,123,137,70,103,118,176,160,165,168,169,172,160,186,193,149,112,104,174,195,192,195,196,197,198,198,198,146,133,128,133,68,106,118,176,177,178,155,159,166,165,185,182,154,127,100,156,198,192,195,197,198,198,198,198,150,131,135,131,68,108,119,186,185,163,148,143,152,158,162,168,170,148,112,130,197,194,197,197,198,198,199,199,153,129,141,125,68,109,117,179,180,153,138,148,153,165,184,180,182,169,136,116,187,195,195,195,197,197,197,198,155,127,147,116,70,109,112,164,179,149,137,150,154,170,194,193,186,180,152,122,182,193,192,193,194,196,195,194,155,124,153,107,70,108,112,142,181,157,142,143,160,170,192,200,183,172,146,126,184,191,192,193,194,194,199,216,154,123,156,99,79,110,114,124,172,164,149,141,158,170,191,197,180,163,137,118,183,191,191,193,196,192,200,225,153,125,151,134,120,131,135,134,160,174,158,145,149,165,186,192,176,159,133,117,172,178,179,180,179,181,174,176,152,126,153,139,99,104,106,105,116,170,163,156,148,158,181,184,166,154,129,114,123,123,126,122,142,177,176,171,150,128,156,135,103,107,108,111,107,133,168,160,155,152,168,175,158,146,124,114,123,124,121,124,175,180,174,167,147,129,157,133,102,107,108,108,111,108,148,165,160,150,148,159,149,135,120,117,121,122,117,155,187,177,172,166,142,126,158,129,100,105,106,107,110,106,123,167,155,143,139,142,138,129,114,117,120,119,122,179,183,175,167,163
13,163,165,168,169,171,173,175,176,178,179,179,179,179,179,179,180,179,180,180,179,178,177,178,177,176,175,175,175,164,166,169,171,172,174,176,178,179,179,180,180,180,180,180,181,180,180,180,180,179,179,179,178,176,176,176,176,166,168,170,172,174,176,178,180,180,180,181,181,182,182,182,182,181,181,181,181,180,180,179,179,178,178,178,177,167,169,172,174,175,177,179,181,181,182,182,183,184,184,184,184,183,182,182,179,176,179,180,180,180,180,179,179,168,170,173,175,177,178,180,181,182,183,184,185,185,184,185,184,178,181,188,168,145,161,179,180,181,181,181,180,169,171,174,176,178,179,181,182,184,185,185,186,183,176,186,188,161,162,193,165,118,121,163,161,165,180,182,182,171,173,176,178,179,180,182,183,185,186,187,193,185,156,163,190,159,146,187,163,110,93,140,133,123,168,183,183,172,174,176,179,180,181,183,185,186,187,193,209,196,158,135,177,162,139,179,157,105,95,142,131,98,149,184,184,173,175,177,179,182,183,185,187,188,189,203,213,204,166,127,163,161,128,170,158,104,110,152,127,86,135,183,184,174,176,179,180,183,185,186,188,188,195,208,198,198,164,118,147,156,119,161,161,105,98,121,99,77,134,184,185,175,177,180,182,183,185,187,187,190,203,209,193,191,152,111,142,148,105,109,119,86,87,118,111,89,141,185,187,176,178,180,182,184,186,187,188,199,213,200,180,179,139,111,152,144,97,53,55,66,114,156,152,116,151,187,188,178,179,181,184,186,187,188,190,208,217,191,163,161,134,112,160,152,99,59,90,119,149,164,156,125,151,187,189,179,180,182,185,187,188,190,193,214,216,192,162,144,128,105,164,172,120,120,170,175,161,143,127,109,132,183,190,180,181,183,186,189,190,192,197,220,217,198,177,150,120,102,146,167,158,184,194,176,154,128,106,92,112,178,191,181,183,185,187,190,191,192,201,225,218,200,184,164,136,124,141,178,198,203,188,166,143,118,97,87,114,180,192,182,184,186,189,191,193,193,202,225,218,201,188,172,148,138,157,200,212,200,177,153,132,109,92,88,140,188,193,183,185,188,190,193,194,194,202,224,220,204,191,176,155,148,172,205,210,194,169,143,121,100,85,100,170,194,194,184,186,189,191,193,194,195,202,223,221,206,192,177,160,161,183,197,195,180,159,135,112,91,81,124,187,196,196,185,187,190,192,194,195,196,201,223,221,206,191,175,164,173,185,180,174,162,144,124,101,86,104,163,195,196,196,186,188,191,194,195,197,197,202,224,221,209,192,176,171,182,180,167,158,143,126,107,91,113,163,192,198,197,197,187,189,192,194,196,197,198,207,229,224,215,196,182,181,185,174,157,142,126,110,94,114,169,195,199,199,199,199,188,189,192,195,197,197,198,216,233,228,217,197,187,187,181,162,142,124,111,96,110,166,197,201,200,200,200,200,188,190,192,195,198,198,200,222,227,223,214,194,187,184,170,147,126,110,96,104,156,195,202,202,201,201,201,200,189,191,193,195,198,198,203,221,215,208,201,186,182,178,156,132,115,100,96,144,192,203,204,203,202,201,201,201,189,191,194,197,198,196,206,219,205,193,186,176,176,169,142,123,108,92,117,181,204,205,203,203,202,202,201,201,190,192,195,197,198,195,212,218,197,186,180,171,167,153,130,115,97,93,148,198,207,206,204,204,203,203,202,201,191,193,196,198,198,197,220,216,189,181,179,168,158,141,122,107,87,102,171,204,207,207,205,205,204,203,202,202
7,136,141,146,150,154,156,158,161,162,164,166,166,166,166,166,166,166,166,165,164,163,163,162,161,160,159,158,157,138,143,147,152,155,156,160,162,163,164,167,167,169,169,168,168,169,167,166,166,165,164,164,164,162,160,160,159,139,144,149,154,156,159,161,164,166,166,167,169,170,170,169,169,169,168,167,168,167,166,165,164,163,162,162,161,141,147,150,155,159,160,163,166,168,168,170,171,171,171,172,172,171,170,170,168,169,169,166,165,165,163,163,162,143,148,151,156,160,162,165,168,168,170,171,173,174,173,173,173,174,174,174,171,167,166,167,169,166,165,165,164,144,149,153,157,161,164,165,168,168,172,172,174,177,178,177,174,170,165,162,142,160,188,146,166,170,168,166,164,146,150,155,159,163,165,167,170,171,172,174,174,169,160,155,157,154,143,144,131,151,169,119,161,168,166,169,166,147,151,157,161,163,166,168,170,170,170,164,153,140,120,132,147,150,129,118,109,103,121,125,177,188,124,168,169,149,153,159,163,165,168,164,146,141,142,142,141,133,124,109,113,101,101,124,126,124,131,143,167,161,104,168,171,149,154,159,163,168,173,157,141,142,135,125,127,131,118,105,100,117,146,164,148,136,129,112,96,110,149,174,170,150,155,159,165,177,166,151,147,141,114,115,135,148,131,126,117,116,131,136,117,97,85,100,132,163,178,173,172,151,155,164,171,161,157,157,154,123,86,105,119,122,110,108,106,87,93,84,89,114,148,179,183,179,174,174,173,151,162,170,165,162,159,150,153,132,94,90,77,67,59,60,69,79,105,144,171,186,186,179,178,177,176,175,174,166,171,168,169,166,151,146,144,146,126,83,60,38,85,138,144,167,186,190,184,181,180,182,182,180,178,178,177,174,169,165,161,153,148,148,148,146,124,89,67,61,83,163,199,187,186,185,184,183,182,181,181,181,180,179,179,174,167,156,150,145,141,135,131,125,106,84,61,66,62,46,137,194,185,187,185,185,185,183,182,181,181,180,180,167,155,148,141,135,130,125,119,116,107,82,54,58,79,61,71,193,188,188,187,186,186,186,184,183,182,181,180,160,156,141,137,129,126,125,123,124,122,88,54,48,68,64,80,196,188,189,188,188,187,186,186,184,183,181,180,83,137,140,135,130,126,122,122,123,114,82,60,59,43,47,53,152,199,187,189,188,187,187,187,186,184,182,180,27,46,114,142,135,129,121,113,103,88,73,70,67,55,45,40,131,203,188,190,190,188,188,187,186,185,184,183,35,23,29,107,141,127,118,107,98,83,74,68,72,57,73,111,182,195,192,193,192,191,189,188,187,187,185,184,29,27,21,26,104,113,98,86,82,64,47,60,63,64,180,203,195,194,194,193,192,191,189,189,188,186,186,185,25,23,21,16,32,70,69,73,62,34,34,47,75,165,203,191,194,195,195,193,192,191,191,190,189,187,187,185,20,18,16,20,14,1,23,164,133,55,83,122,183,202,195,196,196,196,195,194,193,193,192,190,189,189,187,186,8,12,14,20,16,10,147,198,193,187,194,203,198,196,198,196,196,196,196,195,194,194,194,192,191,190,188,187,43,13,10,24,12,136,199,185,191,196,195,194,197,198,198,198,196,198,197,196,196,194,194,192,192,190,188,188,32,39,21,9,55,196,182,189,191,192,194,196,197,198,198,198,197,197,196,195,195,194,194,193,192,190,189,188,3,23,21,1,82,197,182,188,190,191,194,195,196,195,195,197,197,196,195,195,194,193,193,193,190,188,188,188
4,81,88,104,116,122,128,132,136,139,143,144,146,149,151,154,157,159,160,162,162,163,165,165,167,167,166,167,168,82,90,106,118,124,130,133,137,141,143,145,148,149,152,154,157,160,162,163,165,166,166,166,168,169,168,169,169,83,93,109,118,124,130,134,139,142,144,144,147,150,155,162,156,144,153,161,153,161,170,168,169,171,171,171,172,85,93,110,119,125,130,135,140,143,144,160,162,146,149,188,163,115,90,140,120,99,164,172,170,172,172,172,172,85,95,112,120,127,132,136,140,149,151,150,175,171,123,141,154,105,66,99,114,76,129,177,172,173,174,174,173,85,98,114,121,128,133,137,139,175,172,144,127,136,110,95,134,95,62,114,118,71,114,179,173,174,175,175,175,86,100,115,122,129,134,137,151,188,183,158,127,83,81,89,158,105,74,145,107,56,125,180,174,176,177,177,178,87,102,117,123,130,134,135,169,170,149,152,106,72,67,82,145,117,144,149,111,63,141,180,176,177,178,179,179,88,104,118,123,130,136,135,178,150,132,147,85,61,74,58,105,139,159,136,133,106,132,180,178,178,179,180,181,90,105,118,124,131,137,139,190,162,144,135,93,51,103,128,140,143,133,126,150,132,112,145,184,181,181,181,181,92,109,119,126,131,135,148,192,152,127,117,92,38,107,138,125,120,93,123,161,153,140,105,151,185,181,182,183,93,111,120,126,132,134,158,184,141,114,95,68,41,46,77,86,77,74,119,151,165,151,120,95,164,185,184,184,95,112,120,127,133,133,176,191,153,126,109,85,59,47,54,59,100,164,164,160,155,139,129,96,114,187,184,185,96,112,121,128,134,133,191,188,154,141,115,86,70,68,101,146,177,187,171,158,140,112,112,93,115,189,185,187,97,113,122,128,134,136,202,190,171,148,114,96,83,95,157,184,191,189,172,148,128,100,91,85,155,188,187,187,97,114,122,128,133,139,210,195,174,143,115,109,90,132,178,183,190,185,163,137,115,94,79,106,187,186,187,188,100,115,123,129,134,139,206,195,169,141,125,124,110,153,176,178,184,175,151,126,108,88,74,157,191,187,188,189,102,116,123,130,136,141,204,192,166,152,148,136,132,162,174,180,173,158,137,115,100,80,106,188,188,188,188,190,102,117,123,130,136,140,192,192,178,168,158,140,142,165,171,171,155,140,123,106,91,76,162,191,188,189,190,191,105,116,122,131,137,138,178,196,189,176,157,136,126,150,158,154,140,126,113,98,77,114,190,189,189,190,192,192,107,117,122,131,138,140,164,196,180,170,154,131,116,136,144,141,127,113,102,88,81,173,191,191,192,192,192,193,108,118,123,131,138,142,154,192,170,154,143,123,123,134,145,140,123,107,96,75,137,192,189,191,192,193,193,193,109,117,124,133,139,143,149,182,157,147,137,126,141,130,131,133,114,98,81,91,184,191,190,191,193,194,194,194,110,118,126,133,139,145,149,184,160,154,143,147,150,130,118,122,107,91,73,144,192,189,189,191,194,194,195,195,110,118,127,134,140,143,178,178,174,159,151,149,139,125,109,110,101,88,74,172,191,188,190,193,194,194,195,196,111,118,126,134,136,162,191,175,153,156,156,146,129,119,103,99,92,83,70,172,192,189,192,194,195,195,195,196,113,118,127,134,142,192,182,185,161,112,142,137,122,113,91,90,87,79,71,173,191,192,193,194,195,195,196,197,113,119,129,132,165,192,179,181,190,145,92,115,117,107,83,86,84,75,66,169,191,193,194,195,196,196,196,197
18,118,120,123,125,127,129,131,134,135,136,139,140,141,142,143,143,143,143,144,143,143,144,144,145,145,146,146,146,119,122,123,126,128,130,133,135,138,139,140,141,142,144,143,144,145,145,147,149,144,146,147,146,147,147,147,147,121,123,124,127,129,132,134,136,140,141,142,143,144,145,147,147,146,138,118,132,154,147,147,152,148,149,150,149,122,123,126,128,132,134,135,137,140,140,144,145,146,146,144,143,163,137,103,78,121,123,106,127,156,150,151,151,122,125,128,131,133,135,136,139,141,143,145,147,148,147,120,100,139,122,80,79,59,107,106,74,131,157,151,152,124,126,128,132,134,136,139,141,143,144,146,142,154,162,115,94,125,107,70,71,57,104,122,80,81,161,152,153,126,128,130,133,136,139,142,143,145,146,151,120,105,143,134,115,132,113,97,91,77,82,104,83,69,157,154,154,127,129,132,134,138,141,142,145,145,150,162,133,109,94,138,125,113,132,126,125,118,93,70,66,73,158,156,156,128,130,133,135,138,140,143,146,146,155,157,156,136,95,97,128,95,114,140,135,134,108,66,45,73,161,157,157,129,132,134,137,139,141,144,146,148,155,130,151,135,113,70,96,105,76,117,135,130,103,73,46,74,165,156,158,130,133,135,138,141,144,146,146,149,156,104,102,124,99,56,65,97,64,66,105,123,115,88,50,86,168,156,159,131,133,136,139,142,145,147,148,150,158,121,95,113,75,49,52,77,58,45,67,130,131,102,58,80,170,157,161,132,135,136,140,142,145,146,148,150,161,145,113,105,75,51,45,71,54,36,48,125,146,113,80,56,149,164,160,132,135,139,140,143,145,147,150,151,162,138,104,92,76,54,40,75,59,25,106,149,156,130,92,53,85,170,160,134,136,139,142,144,147,149,151,151,158,153,133,104,80,60,52,62,44,93,163,161,150,127,91,68,73,167,163,135,137,139,142,145,148,150,153,152,160,158,137,106,82,69,64,57,87,157,172,167,150,117,85,65,86,170,162,135,137,141,142,145,148,150,153,153,161,161,142,114,93,82,85,86,137,168,174,156,139,111,76,56,103,173,161,136,138,141,143,146,149,150,153,154,159,161,148,126,110,103,86,95,145,168,168,142,118,96,73,53,124,173,163,135,139,141,144,146,149,151,154,153,157,158,149,132,115,105,93,94,134,169,163,134,112,86,69,56,138,172,165,135,138,142,145,147,149,152,155,156,155,157,150,135,114,110,111,93,125,169,155,123,100,79,64,63,155,169,166,134,138,142,144,146,149,151,153,156,156,154,149,138,122,127,120,93,111,167,141,114,88,73,60,76,167,168,168,135,137,141,143,145,148,152,151,155,157,152,146,140,129,123,124,98,100,157,128,102,79,68,57,92,175,166,168,135,138,141,144,146,148,153,152,154,156,154,147,142,131,122,121,103,88,142,120,86,72,67,54,109,173,165,167,137,140,143,145,146,150,152,153,155,158,157,153,149,133,119,111,95,76,126,103,74,66,67,60,143,170,167,168,137,140,143,145,147,150,152,154,155,157,152,162,148,125,108,95,73,74,106,86,73,70,58,96,173,167,168,168,137,140,142,145,148,150,152,153,156,155,151,166,143,120,105,82,75,77,100,82,73,69,63,144,170,166,168,168,137,140,142,145,148,151,152,154,157,152,156,167,147,128,114,94,83,86,99,75,77,53,98,174,166,167,167,168,136,140,142,144,147,150,151,153,155,150,157,161,152,135,124,96,78,98,92,77,69,51,135,170,164,168,167,168
24,176,179,180,180,181,182,183,183,183,184,184,185,185,185,185,184,184,184,184,183,183,182,181,179,117,48,34,25,180,181,182,183,184,185,185,186,186,186,187,187,186,186,186,187,186,187,186,186,186,185,184,182,114,36,40,42,182,183,185,185,186,188,188,188,188,188,190,189,189,189,189,189,189,189,189,189,188,187,186,188,138,46,49,56,182,185,186,187,188,189,190,190,191,192,191,192,192,192,192,193,193,193,192,192,190,189,188,189,176,68,50,50,185,186,187,190,190,191,193,192,193,194,193,194,194,194,194,194,195,194,193,193,192,192,191,189,191,119,46,38,187,188,190,191,192,192,194,195,194,195,194,195,195,195,196,196,196,197,196,195,195,194,194,192,193,166,52,31,188,190,192,192,193,194,195,195,195,197,196,196,197,198,198,197,199,199,198,197,197,195,195,195,194,194,74,28,189,191,193,193,197,197,195,196,198,199,198,199,199,200,200,199,200,201,199,199,200,197,197,196,195,198,140,123,190,192,194,196,171,193,199,199,199,199,199,200,200,200,201,201,201,201,201,201,200,200,199,199,197,199,148,166,192,194,195,197,145,152,204,199,200,200,201,200,201,201,202,201,203,203,202,202,202,201,200,200,199,200,159,189,193,195,197,196,155,110,195,201,201,201,201,201,202,203,202,203,204,204,204,205,203,203,201,201,200,200,188,168,194,196,199,200,176,110,150,207,202,202,203,203,203,205,205,205,207,210,191,184,205,203,202,202,202,202,203,161,195,197,199,201,191,148,109,191,206,204,204,206,202,194,203,207,179,205,190,131,168,209,205,203,201,192,173,159,196,199,200,201,201,180,124,129,203,206,204,207,209,170,171,212,145,138,201,137,133,210,206,203,202,177,131,113,196,199,200,200,202,194,163,133,153,206,205,208,223,194,160,182,163,124,200,152,136,210,206,206,207,149,107,122,195,197,199,199,200,200,184,157,139,169,203,207,221,221,173,141,186,131,181,164,141,210,199,213,185,112,153,203,195,197,199,200,201,202,196,177,161,177,183,191,185,222,189,130,164,149,171,179,128,173,183,203,146,124,202,201,195,197,200,201,201,202,203,199,200,195,169,158,150,185,199,141,116,156,164,191,118,120,185,177,119,180,205,201,195,198,200,200,201,202,204,206,216,188,161,141,120,130,191,149,96,167,158,202,138,146,179,142,134,207,203,202,198,201,204,204,205,206,208,207,214,213,188,146,125,135,161,162,106,162,162,139,157,174,166,112,161,209,203,203,148,153,155,159,163,167,171,175,178,218,219,194,143,128,151,167,134,137,185,139,207,173,148,115,199,210,206,204,97,98,98,100,100,99,101,101,96,197,230,223,198,138,142,179,174,158,191,205,195,150,134,110,139,139,148,170,104,102,103,104,103,103,104,104,97,157,232,215,219,174,142,152,214,229,232,214,172,138,117,107,131,164,186,207,105,102,103,102,103,105,104,105,104,115,210,210,222,202,160,143,174,227,223,193,161,123,115,196,214,210,209,214,103,102,102,101,102,104,104,105,106,102,153,220,226,211,171,148,153,207,205,176,151,108,141,192,190,206,203,202,101,102,104,102,102,103,103,104,106,104,106,204,209,188,155,138,146,176,182,157,124,103,185,186,163,176,190,193,100,100,102,102,103,104,102,103,104,105,98,171,200,164,155,148,149,163,168,143,106,113,179,197,151,141,168,188,101,101,101,101,103,106,102,101,103,104,99,148,206,184,180,168,159,164,165,133,96,121,174,193,161,129,160,178
13,188,189,192,193,194,196,198,199,200,202,201,200,201,201,201,202,201,202,202,201,200,200,200,199,198,198,198,197,189,190,193,195,196,197,198,201,201,201,203,202,202,203,202,203,203,202,203,202,201,201,201,201,198,198,199,199,190,192,194,196,197,198,200,202,203,202,203,203,203,204,204,205,203,202,204,203,201,202,202,201,201,200,200,200,191,193,196,197,198,199,202,203,203,203,204,205,206,205,207,206,205,204,202,203,206,204,202,201,202,202,202,201,192,194,196,198,200,201,202,204,204,205,206,206,207,208,203,205,203,206,215,191,160,194,207,205,205,202,203,203,192,195,197,199,201,202,203,203,205,206,207,207,206,197,216,217,174,176,232,194,134,141,204,183,196,206,203,203,194,197,199,201,201,202,204,205,207,208,205,213,211,166,184,229,181,155,225,192,141,105,179,157,132,206,205,204,195,197,199,201,202,202,204,206,207,207,208,237,220,184,139,217,190,151,221,183,135,111,183,168,109,183,212,204,196,198,199,201,204,205,206,208,211,206,223,238,229,195,138,199,197,134,207,191,120,143,209,171,101,164,216,202,197,199,201,202,204,207,208,209,209,210,235,205,224,197,131,176,199,127,210,209,131,126,157,126,93,166,216,204,197,200,202,204,205,206,207,209,205,221,236,210,221,182,124,174,189,122,141,173,120,106,149,144,103,173,216,206,198,201,202,203,205,208,208,206,217,239,220,195,213,164,125,195,173,136,73,74,77,149,199,198,132,181,215,207,200,202,203,206,208,208,210,205,227,242,211,177,194,166,128,200,179,134,71,122,151,185,197,196,146,181,216,208,201,203,204,207,208,208,212,208,234,237,212,182,163,171,114,209,221,133,137,225,213,189,165,157,134,154,218,208,202,203,204,208,210,210,213,211,243,235,218,204,177,146,113,180,193,170,224,220,198,181,158,136,123,127,213,211,202,204,206,208,211,212,211,214,249,234,219,205,194,162,157,159,200,227,227,209,191,172,149,132,119,129,216,211,204,206,208,209,212,213,212,217,248,234,218,209,198,175,162,177,232,233,220,199,178,163,141,130,109,170,220,211,204,207,208,210,213,215,214,215,245,237,221,212,201,180,168,194,231,232,216,193,169,152,134,120,118,211,216,213,205,207,209,212,213,214,214,216,245,239,224,213,201,183,181,209,221,217,204,185,165,145,130,103,145,225,214,216,205,209,210,213,214,215,215,215,244,238,222,212,197,184,197,212,198,198,187,173,157,138,112,116,202,219,215,215,207,209,212,214,214,216,218,214,245,236,227,213,195,191,207,205,188,186,171,156,143,114,128,205,221,216,217,216,208,209,212,214,215,217,218,218,250,238,234,215,202,202,212,198,183,171,156,148,118,127,213,221,217,219,218,218,208,210,212,215,217,218,212,232,254,242,238,213,208,211,206,187,172,152,147,124,122,208,224,219,219,219,219,219,209,210,213,214,217,218,213,244,244,241,235,211,209,207,196,174,154,142,130,115,193,223,220,221,220,220,220,219,209,211,213,215,218,217,218,244,228,226,222,206,203,204,183,159,146,138,112,176,227,221,222,222,221,220,220,219,210,212,214,217,219,214,222,241,222,210,207,194,201,201,166,154,146,119,136,220,224,223,221,222,221,220,219,220,210,213,215,216,221,208,231,241,213,207,203,192,195,181,156,151,133,111,180,227,225,224,222,222,222,221,220,220,211,213,215,217,218,209,245,236,202,200,204,191,182,168,151,142,114,127,211,226,225,225,224,223,223,221,221,220
20,175,177,178,177,178,181,180,182,182,181,182,181,181,181,180,179,176,179,175,173,174,172,169,168,165,164,161,159,180,181,183,182,183,185,185,186,186,185,186,185,185,185,183,193,179,133,186,182,176,176,174,171,170,168,165,163,186,186,186,187,188,189,189,189,190,190,190,190,190,190,187,199,192,106,147,173,184,179,178,176,175,172,170,167,189,191,193,192,192,192,194,194,195,196,195,194,194,194,192,198,194,100,81,112,177,186,182,180,178,176,173,171,193,194,195,195,196,198,198,199,200,200,198,198,200,200,196,207,189,84,122,122,141,197,185,185,183,181,178,176,199,200,200,200,201,203,203,203,203,203,202,203,204,204,199,212,184,80,152,146,110,200,189,189,186,184,181,179,202,204,204,205,205,206,207,206,207,207,207,207,207,208,202,222,192,92,157,156,102,199,194,193,191,189,186,183,206,207,208,209,209,209,209,209,210,209,210,211,211,210,205,230,177,85,165,185,107,193,201,196,195,194,191,186,210,210,210,210,212,212,213,214,213,213,213,213,214,215,216,238,155,86,187,184,99,187,208,200,198,196,194,192,213,213,214,214,215,216,218,218,217,216,216,218,217,199,196,237,165,109,207,180,91,182,210,203,202,200,197,194,217,218,219,220,220,219,220,221,221,219,219,220,221,212,184,179,168,101,180,187,104,180,212,205,205,203,201,197,220,220,221,222,222,221,223,224,223,223,222,223,220,230,236,191,144,112,163,194,118,172,218,208,208,205,204,200,222,223,223,224,225,226,227,226,226,226,226,227,224,179,194,193,187,144,117,161,109,164,224,209,209,206,204,202,224,226,227,226,227,228,228,227,229,228,229,227,232,193,96,173,208,134,74,100,89,150,228,213,212,209,206,204,226,227,227,228,229,229,229,229,230,229,230,230,236,199,64,140,206,157,98,78,66,134,231,215,214,211,209,208,228,228,229,230,231,231,230,231,232,231,231,231,226,194,123,108,155,182,132,119,71,110,233,217,217,215,212,210,230,230,232,233,233,233,234,234,234,233,234,224,224,196,160,104,77,150,158,130,78,83,230,221,220,218,215,214,233,234,235,235,235,235,234,236,235,236,229,224,199,198,191,148,99,111,147,146,97,69,216,227,220,219,218,215,235,236,236,237,236,237,236,237,237,237,225,211,154,132,179,169,107,89,125,179,139,66,169,238,221,221,219,217,237,237,237,238,239,237,239,239,241,239,224,216,174,87,98,161,90,67,106,181,176,96,92,232,226,223,222,219,238,239,240,240,241,240,241,241,241,241,226,206,175,134,75,114,97,71,153,212,193,124,66,215,231,226,224,220,241,241,242,242,242,243,243,243,242,245,223,216,212,141,90,114,131,125,220,215,179,101,80,228,229,226,225,221,242,243,244,244,244,243,244,245,244,248,222,216,215,153,117,116,202,234,233,186,160,72,118,244,226,227,226,223,241,243,243,244,244,244,245,245,246,249,223,208,202,168,122,114,216,234,208,163,136,66,163,246,227,228,227,225,241,242,242,243,244,243,244,244,245,250,226,196,191,168,127,114,202,213,186,146,110,65,204,239,227,228,226,223,243,242,244,245,245,245,245,246,247,249,238,199,191,169,144,125,199,213,174,127,78,88,239,230,226,228,234,229,243,243,245,245,246,246,247,247,249,249,250,209,189,174,153,117,178,195,148,102,50,168,247,236,238,225,182,121,243,244,246,246,247,249,248,248,250,250,248,219,197,174,150,119,141,151,104,64,76,237,234,190,154,104,52,41
15,201,192,170,178,139,132,188,66,66,109,106,110,114,118,120,134,149,162,172,176,181,188,193,197,201,204,207,211,209,193,172,183,133,149,187,55,76,110,108,110,115,119,124,137,151,165,175,178,183,192,196,201,204,207,211,215,216,190,175,188,124,165,180,46,86,112,109,111,116,119,125,141,155,168,177,180,186,193,199,204,207,211,214,217,219,193,181,190,119,184,167,41,95,112,110,112,116,119,126,143,158,170,178,182,190,196,202,206,210,214,217,219,220,193,188,189,119,200,151,42,103,112,111,114,119,120,128,145,161,174,182,185,191,199,206,210,213,217,220,223,219,192,193,183,121,210,133,42,109,109,110,112,114,116,130,148,163,176,183,186,193,201,208,214,217,220,224,226,220,192,197,174,127,220,115,52,118,115,121,128,137,134,129,150,166,181,190,191,199,210,217,219,220,224,228,231,217,197,206,175,156,180,154,148,147,145,156,158,153,142,133,135,143,154,169,180,187,189,194,217,234,229,230,235,210,203,199,160,157,158,151,148,134,138,138,132,129,132,145,141,140,141,141,148,159,153,141,141,173,230,245,238,211,200,174,145,144,140,138,132,130,134,134,134,133,141,152,152,145,141,137,144,162,160,151,135,112,128,200,250,211,199,204,142,150,145,118,122,125,133,135,134,136,148,152,148,144,137,139,155,152,151,151,142,132,117,108,152,208,201,212,130,198,195,52,99,119,114,117,119,124,136,151,157,152,139,148,151,153,151,152,141,136,137,128,108,207,210,210,126,212,177,39,103,117,112,114,117,118,122,142,177,209,174,159,153,150,151,147,147,136,148,144,125,208,213,205,127,226,161,40,110,116,112,114,118,119,126,144,208,203,176,148,151,140,131,135,147,136,159,157,137,213,215,198,133,233,143,40,115,115,112,115,118,122,119,178,217,173,160,106,110,116,91,115,163,149,171,159,141,216,220,187,139,237,125,46,119,114,112,115,118,118,134,218,187,159,144,107,73,76,54,122,195,177,173,144,137,219,223,178,150,241,107,52,122,114,114,115,119,111,193,233,171,148,126,92,70,66,51,147,203,195,176,138,129,218,227,167,161,241,91,60,125,114,113,115,119,113,205,224,185,148,117,70,64,61,68,165,203,211,186,143,125,223,233,158,177,236,76,68,126,113,114,116,120,113,160,232,210,169,126,72,61,97,95,141,201,211,181,143,128,225,238,149,194,236,65,78,126,113,112,114,118,120,129,221,235,196,138,82,54,98,127,155,199,184,157,142,119,227,239,143,210,229,55,87,125,113,112,113,117,120,127,186,253,211,164,132,115,122,178,188,172,145,130,134,116,231,236,137,226,215,46,94,122,111,110,111,113,115,133,158,236,234,216,205,198,205,191,148,130,122,119,120,115,234,231,137,239,199,41,102,119,110,109,109,113,114,133,156,227,213,178,171,182,198,177,126,112,117,104,120,127,236,221,139,251,181,39,109,118,108,107,108,112,117,127,201,226,169,166,165,176,201,176,121,108,105,142,113,104,238,212,147,255,161,33,110,112,105,104,106,111,115,127,221,201,166,158,158,164,185,174,131,105,208,248,105,91,241,201,153,255,148,59,124,118,108,106,105,106,110,127,191,189,165,162,149,139,156,158,126,108,252,255,114,98,244,192,169,247,198,164,163,166,160,157,152,153,155,157,164,175,179,207,209,140,115,188,146,141,233,241,120,104,245,182,181,244,206,143,140,148,148,148,149,154,155,154,147,149,153,155,220,198,126,156,158,152,163,161,118,107
15,82,91,100,104,105,109,116,123,127,132,136,139,142,144,147,149,151,155,157,159,162,163,165,166,168,168,169,170,84,92,101,104,106,109,117,123,127,133,137,139,142,144,148,149,153,155,157,161,163,164,166,167,169,170,171,172,85,93,101,104,107,112,118,124,129,134,137,139,142,145,149,152,155,157,161,163,164,165,168,169,170,170,171,173,86,95,103,106,109,114,120,125,130,134,137,141,144,147,150,153,156,158,162,163,163,166,168,170,171,171,172,173,86,95,102,105,109,113,119,126,130,134,138,141,144,148,151,153,156,158,161,162,166,167,169,170,170,171,173,173,95,101,110,112,113,121,126,129,127,131,134,137,143,147,150,153,156,161,164,163,166,169,170,172,173,173,174,175,126,114,119,121,122,133,140,142,146,144,136,133,135,136,145,146,140,141,150,166,169,168,172,173,174,174,174,175,109,91,97,105,118,132,135,143,159,153,144,145,149,156,151,153,153,132,118,110,153,175,170,174,174,175,175,176,80,78,85,88,95,106,113,128,153,160,159,159,159,162,166,152,149,165,123,94,84,144,178,172,174,175,176,176,92,103,106,105,107,110,115,116,124,138,152,170,174,146,149,156,121,173,122,96,109,90,144,180,171,176,175,176,91,100,106,107,113,120,122,132,124,107,114,119,143,141,123,133,113,177,126,85,124,130,75,150,177,173,175,177,92,102,107,107,112,117,122,150,116,98,89,100,129,137,105,100,105,141,122,104,123,131,85,77,172,175,174,175,92,102,106,107,113,115,135,163,99,87,97,115,142,135,108,98,106,96,97,110,125,113,77,53,103,184,172,175,93,102,106,108,112,117,130,173,111,87,115,127,139,127,104,100,101,101,100,114,127,124,79,58,51,123,182,177,93,102,107,107,113,116,146,177,172,136,116,103,107,101,84,85,88,97,110,121,125,121,88,61,59,55,111,174,93,102,106,108,112,115,157,179,166,175,149,98,51,47,48,42,47,67,96,113,108,102,80,70,69,63,52,84,92,101,105,107,113,117,138,176,169,151,158,167,92,20,30,23,28,35,63,103,109,104,95,93,82,71,66,58,82,87,93,96,101,103,108,158,171,149,143,173,100,37,31,26,35,29,60,115,124,123,117,110,95,76,68,68,63,66,68,67,70,67,77,174,163,147,135,133,67,44,34,29,39,37,49,97,117,120,119,111,96,78,67,72,71,71,72,73,75,75,77,149,176,153,119,111,93,48,35,37,40,48,57,70,93,102,108,104,94,78,70,72,72,71,72,75,75,77,75,85,128,144,129,117,109,66,42,43,39,47,62,65,76,96,101,95,83,78,75,72,72,73,74,74,75,77,78,76,76,82,84,84,76,70,51,46,38,43,60,69,61,82,93,90,83,79,77,76,73,72,74,75,75,75,76,77,77,79,78,78,77,82,79,65,64,59,68,81,72,72,85,82,78,73,73,76,72,72,72,74,76,76,78,78,78,81,82,82,83,91,95,110,106,90,105,113,118,109,103,97,77,68,80,84,72,72,72,73,75,77,77,77,78,80,80,81,81,81,80,104,97,118,144,145,139,133,118,106,87,84,102,99,71,71,72,73,75,76,76,77,78,80,81,81,81,82,81,79,80,95,117,127,133,114,97,87,93,101,104,118,71,72,73,73,75,75,77,77,78,79,79,80,80,79,81,82,83,84,78,91,101,88,100,108,101,93,106,130,71,72,73,74,74,74,76,77,77,77,78,78,79,80,80,81,82,83,83,83,81,96,115,117,93,99,115,132
14,208,210,209,210,212,212,213,213,214,213,213,212,212,214,214,213,214,214,215,213,213,213,212,213,212,211,210,211,209,211,211,212,213,214,213,214,216,214,214,214,222,213,210,217,216,214,215,214,215,215,215,214,214,213,212,212,211,211,213,213,213,216,217,219,216,215,227,228,221,175,174,227,216,217,217,217,216,216,216,216,216,214,214,213,211,213,215,215,216,216,217,215,217,243,233,199,168,151,140,192,213,212,217,217,218,218,217,216,216,216,215,214,213,214,216,217,218,218,214,222,250,245,183,143,140,134,145,176,201,167,177,223,218,219,218,218,217,217,217,216,214,215,217,218,218,216,223,255,245,203,154,131,145,128,136,162,176,142,182,226,218,221,221,220,219,219,219,217,216,217,219,219,219,214,251,255,202,151,130,131,136,124,128,133,149,138,189,224,224,222,223,223,222,221,219,218,217,219,219,220,221,217,255,255,181,124,110,114,125,143,153,134,162,190,183,171,207,226,223,224,223,222,220,220,218,219,219,222,220,229,255,245,179,132,120,122,116,129,135,117,129,170,177,139,205,230,223,225,225,223,222,221,218,219,221,224,219,239,255,226,156,124,129,139,114,123,131,139,141,146,138,135,205,223,228,225,225,224,223,224,222,222,223,225,219,250,255,231,171,127,129,141,126,135,148,156,147,134,157,164,166,158,219,230,225,226,225,225,223,223,226,226,222,255,255,241,191,149,129,124,137,141,118,131,140,171,172,162,157,171,185,223,231,228,226,226,224,226,227,224,232,255,255,239,189,156,137,121,147,139,163,204,221,236,229,214,191,212,174,217,234,229,229,228,224,224,227,224,239,255,255,240,188,153,141,127,140,129,217,242,232,229,233,224,199,208,173,225,232,230,229,228,225,226,230,226,242,255,255,246,201,160,136,134,124,162,239,229,232,231,237,210,194,204,170,228,232,230,230,229,226,227,230,226,244,255,255,249,207,169,135,129,130,225,237,233,234,232,239,206,194,206,160,216,237,231,231,231,226,229,232,227,246,255,255,252,211,172,142,118,155,242,231,235,236,234,243,196,179,200,165,186,242,231,233,232,228,230,233,227,248,255,255,252,215,177,149,112,191,252,234,239,235,241,216,187,196,195,169,176,242,233,234,234,230,232,232,228,249,255,255,254,218,177,156,118,157,218,230,229,241,226,173,191,201,190,159,213,241,234,235,234,230,232,233,230,252,255,255,254,215,180,163,136,115,131,149,154,180,175,174,191,194,171,191,245,236,236,235,235,232,232,236,231,255,255,255,252,214,193,177,146,127,137,141,157,165,166,175,188,177,169,236,241,237,238,238,236,232,234,236,233,255,255,255,251,219,207,186,159,131,147,158,168,173,176,169,173,159,218,245,239,240,238,238,237,234,237,237,234,255,255,255,254,230,215,187,162,143,150,164,169,172,174,170,148,186,248,239,242,240,240,240,239,235,237,237,238,255,255,255,255,242,218,188,164,150,146,164,168,167,171,160,161,238,243,242,242,241,241,241,242,236,238,238,241,255,255,255,255,246,217,184,159,151,146,160,165,163,163,158,231,246,241,243,243,242,241,241,242,235,237,236,242,255,255,255,255,242,206,163,146,144,145,159,159,167,148,208,252,242,244,243,243,243,242,242,242,239,242,242,255,255,255,255,253,225,175,134,135,135,142,150,157,153,175,249,244,245,245,246,244,244,243,243,243,226,212,194,198,196,179,174,156,141,125,110,108,117,136,144,145,165,240,247,245,247,246,247,247,244,245,244,244
1,60,63,67,71,83,102,115,121,124,130,136,141,144,147,155,154,156,159,160,161,163,164,165,165,166,168,167,168,61,64,69,73,86,104,117,124,127,134,139,143,147,161,140,158,161,159,160,161,162,164,165,165,165,166,166,166,62,66,70,75,89,107,121,127,131,139,142,144,161,189,103,132,151,162,162,163,163,164,165,165,165,166,166,166,63,67,71,75,92,111,124,130,136,141,154,147,153,197,99,112,117,140,172,166,167,166,167,167,166,167,166,166,64,67,73,77,94,114,128,133,140,142,186,157,117,196,97,116,132,103,178,172,172,172,172,171,169,170,169,168,65,70,74,78,97,118,131,136,145,146,191,164,108,182,97,109,142,84,170,179,177,177,177,177,174,174,173,173,67,70,75,81,102,120,133,138,148,149,195,167,96,175,116,109,149,86,162,188,181,182,182,182,180,179,178,177,67,71,76,84,106,124,136,141,153,158,185,170,89,148,115,111,164,95,151,196,187,189,188,186,184,183,182,181,68,72,76,86,110,128,139,141,168,166,158,172,86,126,114,98,159,95,148,202,191,192,193,191,189,188,187,186,69,73,77,89,113,131,143,140,195,157,146,168,87,143,127,95,180,114,145,207,195,197,197,196,194,194,194,192,70,75,78,91,116,135,144,145,202,139,140,183,95,136,127,97,189,130,139,211,200,202,201,200,199,198,198,196,72,76,78,94,120,138,146,152,205,130,125,183,89,100,113,96,183,133,129,215,203,204,204,203,203,202,201,200,74,78,80,97,122,141,148,159,210,136,98,170,97,100,112,132,164,120,122,217,207,209,208,208,207,205,205,204,74,78,80,101,126,144,152,163,217,148,76,185,175,137,138,155,139,93,111,216,210,212,211,209,208,208,209,208,74,77,80,104,129,147,154,166,213,138,115,155,143,130,134,125,121,120,94,207,217,214,214,214,213,211,210,210,74,77,82,106,131,150,156,173,217,164,154,116,108,131,134,109,131,158,122,154,226,215,217,217,217,217,216,215,75,77,83,109,134,153,157,184,225,173,138,105,120,113,141,155,177,190,175,114,180,228,217,219,218,217,219,219,75,77,85,113,137,157,158,195,228,167,123,103,121,131,173,220,188,190,195,120,100,218,223,222,221,221,220,218,75,78,86,116,141,160,160,199,230,167,117,111,129,145,195,222,227,198,155,98,88,199,231,222,221,222,229,234,76,78,89,120,144,162,164,196,235,176,118,115,136,163,203,218,222,191,136,92,93,215,227,226,237,231,197,143,76,77,91,122,146,164,165,192,232,189,133,115,145,173,211,224,213,178,132,89,107,230,232,225,165,103,57,38,76,77,93,125,149,166,169,191,229,206,154,119,148,170,217,226,198,165,127,84,127,248,211,101,39,35,43,40,75,75,95,127,150,167,171,187,218,209,168,130,144,172,217,216,191,155,118,75,163,207,80,50,52,26,45,44,73,74,95,128,153,166,170,184,203,208,177,144,147,169,211,205,182,144,110,81,120,67,29,44,63,25,25,52,73,74,97,131,156,169,173,186,195,204,185,158,156,153,201,190,171,131,101,79,66,53,47,21,50,45,12,35,67,68,95,131,157,171,176,188,196,200,186,163,159,142,177,175,153,117,93,71,76,59,45,22,25,56,19,16,86,86,105,134,156,169,176,187,198,199,186,169,161,144,147,164,140,107,81,65,76,61,37,28,14,40,38,8,116,117,116,113,118,125,129,133,134,149,196,174,164,146,132,150,130,100,69,59,71,49,47,25,13,24,46,12
8,133,136,138,140,142,140,143,144,143,143,143,144,144,143,142,142,140,140,139,138,137,136,136,135,134,134,133,131,135,137,140,136,126,145,144,144,144,143,144,145,145,144,143,143,142,141,140,139,139,138,138,137,136,135,134,132,137,136,147,136,82,137,148,146,144,145,145,146,146,145,145,144,143,142,143,142,140,140,140,138,138,136,135,134,138,138,150,148,73,115,153,147,148,147,146,147,146,146,146,145,144,143,143,143,141,141,141,138,138,137,136,136,138,140,146,161,77,101,157,147,150,148,147,147,148,147,147,145,144,145,145,143,143,141,141,140,140,139,138,138,139,143,145,154,82,89,159,149,152,152,153,148,150,152,150,147,146,147,146,144,144,142,144,142,141,141,139,138,141,145,145,160,116,78,154,153,150,138,138,154,147,130,140,154,152,149,146,147,145,144,144,144,143,143,141,139,143,145,143,162,132,66,141,155,166,145,101,132,163,109,85,141,135,147,151,146,148,147,145,146,145,143,141,140,144,147,146,158,139,84,111,160,179,176,126,81,158,128,123,86,86,87,146,152,148,149,146,147,146,144,142,140,146,148,148,157,163,116,98,150,173,182,151,74,119,133,139,123,109,93,105,147,150,149,149,149,147,145,143,143,148,149,149,152,167,113,109,140,144,172,154,84,86,125,104,149,151,154,121,78,147,150,148,148,148,146,143,143,148,150,152,153,164,148,127,153,141,145,157,84,63,106,58,123,140,153,130,64,135,155,148,149,149,148,146,144,149,151,154,153,174,171,119,120,138,120,156,115,60,84,58,88,137,158,133,65,134,156,149,150,150,150,148,145,150,152,155,153,172,149,101,100,110,94,137,154,79,62,50,98,157,169,137,65,135,158,150,152,151,151,150,147,151,154,156,153,171,170,128,100,92,86,102,115,84,70,45,110,162,169,135,65,136,159,152,153,153,152,151,148,151,154,157,153,175,176,142,108,88,88,84,129,128,86,105,144,157,160,118,57,125,162,153,154,153,153,151,148,152,155,157,155,179,174,147,123,91,74,98,148,147,150,159,150,135,127,94,51,115,165,154,154,154,154,152,149,151,154,158,157,183,174,151,135,111,77,93,141,172,177,167,144,115,93,75,51,143,161,156,155,154,154,152,150,152,156,158,158,183,175,155,138,123,92,91,151,183,177,162,136,100,75,47,89,167,156,157,156,155,154,151,151,155,156,160,159,179,179,162,145,133,103,103,164,179,167,140,118,85,56,50,151,161,158,158,157,157,156,153,152,155,157,162,160,174,181,166,150,142,112,107,169,167,145,119,96,73,38,107,170,158,159,159,157,158,157,155,153,155,157,160,161,170,182,171,154,139,110,111,158,154,134,111,83,56,56,160,161,160,160,158,157,157,157,155,153,154,156,159,159,171,185,169,149,126,96,116,144,127,120,105,77,37,119,169,158,159,160,158,156,156,156,155,153,155,158,162,156,174,182,160,141,114,104,120,131,109,102,99,50,69,167,160,161,161,160,158,157,157,155,153,152,155,158,162,154,185,178,161,144,124,119,124,119,102,95,75,50,147,166,161,161,161,160,159,158,155,154,160,158,155,158,157,164,187,173,162,147,126,129,121,100,94,81,46,116,170,161,162,161,160,160,158,161,164,161,126,75,156,160,151,172,179,155,148,137,124,125,111,85,84,55,75,166,163,164,162,162,164,166,164,145,110,65,25,11,156,159,148,178,174,142,124,116,114,125,106,69,79,42,130,170,163,164,162,154,139,124,89,43,11,0,5,9
0,194,195,194,194,193,194,194,193,192,192,190,192,191,189,188,188,188,187,185,184,184,182,182,180,180,178,177,176,194,196,195,195,195,195,194,194,193,192,192,192,192,191,190,189,189,188,187,186,184,183,182,180,179,179,178,178,195,196,195,196,196,196,196,196,194,194,193,192,192,192,192,190,188,187,187,185,185,185,182,181,180,180,179,178,197,197,197,197,197,197,197,197,195,194,195,194,196,196,192,193,194,190,186,186,185,185,185,183,182,180,178,178,196,198,199,199,198,198,196,196,198,198,195,183,156,165,197,177,164,179,193,189,190,189,184,186,184,182,180,179,198,200,199,200,199,197,197,190,170,180,192,164,135,108,150,152,124,107,170,165,151,175,189,180,182,183,181,180,200,200,199,200,199,198,197,180,152,131,160,176,139,107,117,162,132,101,100,138,108,94,165,153,151,188,181,180,200,200,200,200,199,199,199,195,173,146,120,173,146,116,117,167,139,106,105,152,128,83,104,151,122,190,181,180,201,201,201,200,199,203,195,188,178,156,108,159,153,119,116,166,142,107,95,148,129,89,80,141,116,182,184,182,202,201,201,201,200,205,192,156,179,139,98,160,149,112,110,158,132,99,80,128,112,81,76,141,104,152,192,183,203,202,202,202,201,201,168,132,174,122,96,153,128,93,103,146,120,88,84,141,121,72,80,147,126,107,181,185,202,202,202,203,203,201,181,153,172,133,109,146,128,90,101,148,120,78,120,162,129,64,85,147,139,96,137,195,203,204,203,203,206,197,176,153,157,141,113,152,146,93,117,163,132,82,146,169,103,59,127,155,139,88,125,195,204,205,205,204,201,175,148,133,120,106,101,162,144,89,126,169,137,85,60,90,54,93,159,158,124,77,164,188,205,205,205,206,201,178,152,127,102,92,89,117,122,85,81,123,105,81,87,57,78,153,160,146,92,113,195,184,206,205,206,203,195,177,155,128,107,105,108,101,108,106,91,95,127,156,162,147,133,155,146,120,78,171,191,185,207,206,207,202,194,180,159,133,109,102,109,115,131,143,148,164,174,165,153,154,128,132,135,85,106,198,186,188,207,207,207,205,198,181,161,142,118,109,111,124,153,165,175,177,171,159,149,144,118,111,116,66,160,196,187,188,207,207,207,205,200,181,165,147,127,127,114,148,180,179,180,176,167,153,146,139,110,98,77,99,198,191,190,188,207,208,207,205,202,187,171,155,142,139,143,176,185,181,181,174,162,149,140,126,99,73,78,180,194,191,191,189,207,208,207,205,203,188,174,162,152,146,171,180,184,186,180,165,156,142,128,111,76,69,176,197,191,192,191,190,207,209,208,203,200,193,180,167,153,151,180,180,186,184,172,154,143,133,116,88,61,168,200,191,194,193,191,190,207,209,209,202,198,194,183,171,155,150,177,182,178,174,158,142,129,119,95,60,156,204,192,194,194,195,192,192,209,210,210,205,199,197,187,179,164,152,173,179,168,159,145,129,115,91,58,147,207,195,196,195,194,194,193,191,208,208,211,207,202,193,186,180,171,158,171,170,158,145,135,117,90,57,144,207,196,198,196,196,194,193,192,193,208,208,210,206,199,190,196,191,180,166,167,162,144,133,123,93,57,149,210,198,199,199,197,196,195,194,192,193,208,209,210,204,201,190,198,192,174,163,158,153,133,116,102,65,152,212,199,201,201,200,198,197,195,195,193,192,210,210,208,201,195,181,194,182,169,161,152,138,123,108,74,114,214,201,202,201,201,199,199,197,195,195,195,193
12,213,218,222,225,228,230,232,235,235,236,236,236,236,236,236,235,236,236,236,234,233,232,231,230,230,229,227,224,215,219,224,227,229,231,234,236,237,237,238,238,238,238,237,241,239,236,237,235,235,235,234,233,233,230,229,228,216,220,224,228,230,233,236,237,238,240,239,237,240,244,238,221,232,242,239,243,238,238,238,237,236,234,232,230,217,221,224,229,232,235,237,238,240,240,247,231,198,224,255,216,175,222,234,210,237,241,239,238,237,235,234,233,218,222,225,229,234,236,237,239,242,239,255,255,233,186,213,255,215,156,189,190,175,242,241,240,238,237,237,236,221,225,227,231,235,238,241,243,240,254,255,255,255,207,141,230,237,159,124,197,155,189,251,240,241,239,238,237,223,227,230,234,237,239,243,245,238,255,239,239,255,195,134,202,222,159,115,163,165,132,244,243,241,241,240,238,224,228,233,235,239,244,243,242,248,216,180,247,243,178,124,211,209,148,123,168,153,132,246,244,243,242,241,240,227,230,235,237,242,242,245,255,255,183,134,188,224,196,116,196,238,167,124,192,155,149,255,244,246,244,242,240,229,233,237,240,241,250,255,255,255,202,138,133,231,199,101,201,255,163,136,238,159,183,255,244,245,245,244,243,230,235,240,242,247,255,247,232,255,215,140,91,190,182,76,139,244,147,125,221,166,231,252,247,247,246,244,243,234,237,244,243,255,255,241,208,249,203,141,91,105,115,94,134,162,166,174,187,133,223,255,248,248,248,245,244,236,240,244,248,255,242,212,167,221,204,144,96,100,104,191,255,216,212,191,174,149,164,255,249,250,249,247,245,238,243,247,245,255,246,217,156,188,205,140,101,109,162,232,248,239,211,174,145,162,138,241,255,251,250,249,246,242,245,250,245,255,253,223,179,162,200,171,112,137,218,246,240,234,212,171,147,140,135,248,255,251,251,250,247,244,248,251,255,255,255,233,203,155,176,194,121,210,255,251,242,239,193,164,147,108,175,255,254,253,250,248,247,247,252,251,255,255,255,241,209,178,158,160,182,255,255,255,255,222,173,159,136,111,244,255,255,255,255,255,254,249,253,254,255,255,255,251,215,202,185,170,223,242,251,255,245,197,166,157,110,161,255,255,255,248,222,181,138,251,255,255,255,255,255,255,225,217,202,181,224,224,255,255,224,184,160,147,111,242,251,205,160,117,96,90,83,253,255,255,255,255,255,255,234,230,212,187,232,227,254,248,202,172,151,129,130,164,107,87,78,81,82,85,95,255,255,255,255,255,255,255,238,231,214,196,223,247,230,219,182,159,142,119,87,76,76,82,79,83,77,74,90,255,255,255,255,255,255,255,242,227,214,204,210,235,216,191,170,148,136,93,65,76,86,73,72,81,84,67,76,255,255,255,255,254,255,255,240,225,212,195,198,221,205,178,159,142,119,93,60,64,88,80,63,71,85,78,66,255,255,255,255,255,255,247,229,218,210,189,198,213,196,159,148,129,93,100,73,51,71,88,70,60,75,83,70,255,255,255,255,255,255,231,211,216,205,189,202,201,179,146,132,90,62,89,90,51,54,78,82,61,61,78,78,255,255,255,255,255,255,233,221,230,217,201,203,190,163,142,112,83,53,71,92,66,42,62,80,76,55,67,80,255,255,255,249,244,255,242,243,249,218,198,197,180,156,136,88,83,60,58,79,80,42,48,69,83,66,58,75,255,255,255,209,204,255,255,255,253,207,199,200,176,152,124,87,73,70,48,66,84,52,39,60,80,77,60,62
15,108,117,127,136,141,142,148,155,162,167,172,175,179,182,185,187,191,195,197,198,200,203,203,204,203,205,206,206,107,118,128,138,142,144,149,158,163,168,173,177,181,185,187,190,193,196,198,201,202,204,205,204,206,208,208,207,110,121,130,138,143,145,151,159,164,169,174,180,182,187,189,193,195,198,201,202,204,205,206,208,209,210,211,211,112,122,131,140,145,147,154,161,166,172,176,179,183,188,191,194,197,200,203,204,205,207,209,211,211,211,212,213,112,124,134,143,146,149,156,162,169,175,177,182,187,190,194,196,198,201,203,204,207,210,212,213,213,213,214,215,113,124,137,140,143,148,156,163,172,177,180,186,189,192,196,199,201,202,205,208,210,211,213,215,215,216,216,217,115,127,132,167,182,160,161,165,173,177,183,187,192,193,196,202,203,205,208,211,212,214,214,215,216,217,218,219,117,129,130,225,217,182,180,172,178,184,184,183,188,195,201,204,204,208,210,211,213,217,217,218,219,219,220,220,118,130,136,185,198,178,177,167,187,191,186,180,165,171,188,193,200,209,212,215,218,219,219,220,222,222,222,223,119,131,142,149,160,155,149,146,170,176,179,180,171,181,176,179,185,197,204,192,198,213,225,219,222,224,224,225,122,131,144,154,155,155,160,162,169,167,161,159,169,182,178,170,165,179,201,191,179,165,184,230,225,223,226,227,123,134,147,153,155,159,169,176,182,185,180,173,172,168,162,153,150,176,191,207,183,162,147,168,230,229,225,228,123,136,148,155,158,161,170,177,181,188,194,197,201,197,187,168,179,197,191,194,188,173,177,154,155,225,232,229,125,137,148,157,160,162,171,178,183,189,193,196,201,208,211,241,230,206,160,166,210,170,187,187,146,143,230,234,126,138,150,159,161,164,172,179,185,191,193,207,209,176,179,215,222,187,124,131,217,164,191,190,182,132,143,234,127,139,152,160,162,165,174,181,187,193,192,228,206,160,163,222,236,187,143,149,186,181,195,186,173,151,115,136,130,141,152,161,162,166,175,181,188,194,196,217,179,157,171,232,237,182,149,157,153,164,180,164,150,149,134,115,132,144,154,162,163,166,175,183,190,196,200,204,201,163,178,228,216,170,154,165,164,162,174,155,127,139,139,135,131,144,155,162,164,168,176,185,190,196,202,199,255,248,159,133,138,139,164,182,176,179,184,162,137,141,139,135,131,144,157,164,166,169,178,185,191,196,205,200,244,255,192,94,47,33,50,91,161,177,176,159,156,153,133,123,133,145,157,165,167,171,179,186,192,199,205,201,238,255,190,107,73,54,25,5,76,160,156,147,130,108,88,70,135,146,158,164,167,172,180,186,193,199,205,204,231,255,167,108,129,120,87,53,34,87,98,81,60,50,44,33,135,148,158,164,166,173,181,187,194,199,207,208,222,255,175,136,173,151,145,137,82,57,52,51,47,45,45,39,134,148,157,163,164,172,177,186,192,198,205,208,215,255,202,130,188,159,152,112,68,60,57,56,51,47,46,42,133,146,157,162,164,171,179,188,193,200,203,208,207,254,226,118,220,224,164,86,58,54,55,55,52,48,46,44,133,147,158,163,166,173,182,189,195,202,206,212,207,249,208,109,226,243,177,75,54,54,55,56,52,49,50,51,134,148,159,164,167,173,182,190,197,203,206,212,215,230,155,181,234,241,192,76,66,61,57,52,51,50,52,50,134,149,160,166,169,174,182,189,197,202,207,211,217,219,214,230,230,234,237,118,76,68,60,52,51,52,51,47
19,145,148,150,150,151,153,154,152,153,155,154,154,154,154,152,150,155,153,149,149,149,148,148,148,146,147,146,145,148,149,151,151,152,154,155,155,155,156,156,156,156,154,154,147,116,136,155,150,151,150,150,149,148,147,147,146,149,150,152,154,154,155,157,157,157,156,157,158,158,154,168,145,94,80,158,153,153,152,151,150,149,149,148,148,150,152,153,156,157,157,158,159,159,157,158,159,158,159,176,145,111,64,148,156,155,154,153,154,150,149,150,150,151,154,156,157,158,159,160,160,160,159,160,161,158,165,174,140,105,59,148,159,156,156,153,151,154,151,151,152,152,155,157,157,159,161,162,161,160,160,160,162,157,170,169,120,87,53,145,155,151,147,151,173,138,149,154,153,154,156,158,159,160,163,162,162,162,163,162,161,158,167,164,127,120,134,159,147,157,153,164,204,102,142,156,153,156,157,160,163,162,163,163,163,163,163,161,165,168,167,158,156,164,180,172,153,151,152,129,106,107,157,155,155,157,158,161,163,164,166,164,163,161,168,177,187,190,179,160,138,132,125,121,101,91,91,99,122,156,156,155,156,160,161,162,163,166,165,168,170,171,185,189,186,176,162,156,153,143,77,77,107,131,144,161,166,159,159,158,156,162,162,164,166,165,172,188,180,177,173,175,174,171,171,168,167,156,77,114,177,166,165,161,160,160,160,159,157,163,163,164,167,163,182,197,184,175,174,181,183,185,176,167,161,131,67,88,174,160,163,163,161,161,161,160,158,164,164,167,169,166,181,192,172,166,177,186,187,175,166,168,170,153,72,57,164,164,163,162,161,161,162,161,159,164,166,168,170,168,182,181,165,167,171,164,164,170,179,169,171,163,79,40,130,172,162,164,163,161,162,161,161,166,168,169,171,171,188,167,169,170,160,148,174,178,167,160,159,133,75,38,103,177,164,165,164,163,162,162,162,168,168,170,172,173,181,177,181,178,180,184,184,171,163,155,142,112,65,37,82,178,166,167,166,165,163,164,162,168,170,171,174,174,174,198,188,179,179,181,170,156,148,160,172,164,89,26,111,179,167,168,167,165,164,164,164,170,170,173,175,176,171,194,193,173,167,150,118,144,181,179,165,164,95,54,168,172,170,168,169,167,167,166,165,170,173,176,174,178,173,176,186,171,166,155,163,186,177,154,141,133,81,49,160,174,170,171,170,170,168,168,166,170,173,175,176,177,176,173,182,192,184,176,179,172,155,143,129,108,59,57,170,172,171,172,171,171,170,168,167,172,175,176,178,179,179,175,178,191,177,161,165,156,141,118,84,54,62,150,177,172,173,172,172,172,171,170,169,174,177,177,178,181,182,171,178,180,170,151,145,123,100,71,44,27,139,188,173,174,173,173,173,172,171,171,170,174,177,178,180,181,183,172,176,176,162,140,127,109,82,57,45,82,185,174,176,176,175,175,175,173,171,170,170,174,176,179,182,182,183,173,166,172,157,132,121,119,82,57,47,96,189,176,178,178,177,177,176,175,173,172,171,174,177,179,182,182,185,173,161,162,155,128,111,86,66,59,52,59,179,180,178,178,178,177,177,176,174,173,171,174,176,178,180,181,184,171,160,152,154,142,122,88,69,62,53,57,175,180,177,177,176,176,175,175,172,170,169,175,177,178,180,181,185,164,163,159,149,136,123,92,70,62,51,66,180,178,178,177,176,176,175,175,173,172,170,175,177,179,181,181,187,158,172,178,165,132,103,79,62,60,44,110,188,177,178,178,177,177,177,176,174,172,171
1,180,183,187,189,191,192,194,194,193,194,195,196,196,197,196,197,197,197,200,197,197,198,199,196,196,195,195,195,186,188,191,194,195,195,196,198,198,198,201,201,199,199,203,201,204,200,186,202,201,201,202,201,200,198,200,199,190,192,196,200,199,200,200,202,202,205,206,205,204,209,177,192,222,214,123,197,209,205,204,204,204,203,201,200,194,196,201,203,203,204,206,206,206,206,208,205,216,234,136,173,233,199,113,201,202,210,209,208,206,206,203,203,198,201,207,208,209,210,211,210,212,212,213,209,232,225,126,186,235,174,123,214,166,163,220,209,211,209,208,207,204,206,212,213,215,215,215,214,216,217,210,171,225,207,127,204,235,155,135,227,173,122,223,214,214,212,211,210,207,210,215,216,218,219,220,220,218,234,209,139,195,192,134,219,244,159,159,239,174,122,222,219,218,218,216,215,211,215,217,219,219,224,225,225,222,244,196,134,190,189,148,222,231,153,175,244,162,128,228,221,221,220,219,218,215,218,220,223,225,228,226,226,225,244,178,140,184,166,139,205,210,140,191,249,160,137,235,225,225,224,222,221,218,221,224,226,228,230,231,228,228,252,181,152,175,169,117,215,207,136,215,244,158,149,244,230,229,228,227,226,221,224,226,230,231,233,234,233,234,252,168,141,178,191,120,232,214,144,231,226,149,165,245,232,235,234,231,230,225,227,229,232,234,236,235,234,240,255,193,132,160,173,111,221,185,151,246,233,145,185,247,233,236,235,234,234,227,231,233,235,237,238,238,235,242,255,186,119,157,153,114,197,155,169,249,223,140,205,250,239,239,237,236,235,229,232,235,239,241,241,242,239,247,255,200,161,190,223,209,223,221,164,192,218,133,223,249,243,243,241,239,238,230,234,236,240,243,243,245,241,255,255,208,174,140,186,236,232,235,196,133,172,134,240,249,245,244,243,243,242,234,236,241,241,243,245,246,243,255,242,190,153,123,117,155,174,245,245,166,97,134,254,248,248,248,246,244,243,235,238,242,244,245,248,247,247,255,244,191,143,131,138,146,177,254,255,221,104,152,255,248,249,250,248,247,246,238,242,244,247,249,250,250,252,255,242,182,149,149,153,191,233,221,255,233,137,166,255,250,253,251,250,251,250,241,244,247,248,249,252,251,255,255,235,187,147,162,160,224,255,238,213,192,148,129,255,254,254,253,251,252,251,243,246,248,249,249,251,253,255,255,238,193,165,169,184,255,255,232,202,157,122,136,255,255,255,255,255,254,253,245,247,249,251,252,255,255,255,255,239,194,178,162,207,255,255,218,185,144,99,158,255,255,255,255,255,255,255,248,249,251,253,254,255,255,255,255,235,201,189,165,202,255,255,205,171,131,96,203,255,255,255,255,255,255,255,248,249,252,255,255,255,255,255,255,236,211,202,170,195,255,232,190,152,115,127,255,255,255,255,255,255,255,255,247,251,254,255,255,255,255,255,255,241,214,206,166,204,255,216,184,138,98,184,255,255,255,255,255,255,255,255,249,252,255,255,255,255,255,255,255,243,217,202,156,207,233,198,170,124,103,240,255,255,255,255,255,255,255,255,250,252,255,255,255,255,255,255,255,249,227,192,161,204,197,174,155,104,142,255,255,255,255,255,255,255,255,255,250,252,254,255,255,255,254,255,255,255,240,195,175,202,183,169,141,102,218,255,255,255,255,255,255,255,255,255,248,253,254,255,255,255,252,255,255,252,234,194,187,185,173,154,109,157,255,255,255,255,255,255,255,255,255,255
2,196,197,198,199,199,200,200,200,200,200,199,199,198,197,198,198,196,195,195,192,192,192,190,188,187,185,184,183,198,199,199,201,201,201,202,202,201,201,201,200,201,202,202,201,200,200,200,198,193,192,191,190,189,187,186,184,200,201,202,202,202,203,203,203,203,202,202,203,193,184,188,187,180,175,168,180,200,193,191,191,190,189,187,186,202,202,202,203,204,204,204,204,205,204,205,196,177,172,175,174,165,148,133,124,164,197,196,192,192,191,188,187,203,203,204,205,205,206,206,205,206,207,199,178,178,181,173,175,178,143,137,147,149,151,174,194,192,192,190,188,204,205,205,206,207,207,207,207,208,208,200,190,182,168,157,156,148,107,112,133,140,115,112,188,196,192,190,189,205,205,206,208,208,209,209,210,210,205,200,193,178,155,135,121,131,162,178,155,138,119,151,198,194,193,191,190,205,206,208,208,208,211,211,211,208,191,189,177,149,109,90,132,212,209,208,208,203,199,203,198,195,194,192,191,207,208,209,209,210,211,212,212,205,188,178,145,109,94,87,174,215,204,204,203,202,202,198,198,196,195,193,191,206,208,210,211,211,211,213,213,204,189,149,104,91,83,120,212,208,208,206,204,203,201,201,203,202,197,194,193,208,209,211,212,212,213,214,210,205,187,143,92,91,79,161,219,207,209,207,205,203,205,199,176,170,192,196,194,209,210,211,212,214,214,214,207,205,181,138,93,99,90,156,220,208,210,209,206,206,200,155,127,117,158,201,193,209,210,211,214,215,215,214,207,201,174,121,97,106,91,166,220,210,210,209,209,205,160,137,138,122,154,204,194,210,211,213,215,215,216,213,209,201,167,124,112,105,91,186,219,210,212,210,211,165,134,142,131,121,190,200,196,210,213,214,214,216,217,210,209,200,171,133,115,102,89,149,226,214,210,217,178,120,126,135,113,157,208,198,198,211,213,213,215,215,219,210,207,198,169,136,115,100,100,101,145,200,220,183,138,121,121,117,118,203,202,200,198,212,213,215,216,215,218,210,205,192,167,143,114,100,102,107,103,125,154,123,125,135,117,110,185,207,201,201,199,213,215,216,217,218,217,208,205,193,168,137,112,100,102,106,113,116,110,113,124,118,119,192,211,203,203,202,199,212,215,216,217,219,217,205,209,202,164,137,117,99,103,107,110,118,121,114,119,115,196,213,204,204,204,202,199,214,215,216,217,218,215,204,215,198,160,136,117,100,103,109,111,117,123,116,98,182,218,205,205,204,203,202,200,215,216,217,218,220,211,207,214,189,154,135,120,101,103,112,116,118,121,103,156,217,209,208,207,206,204,203,202,214,216,217,219,221,209,208,208,182,150,137,121,101,105,115,118,122,107,120,219,211,210,210,209,207,205,203,202,215,216,218,219,220,207,209,200,174,152,138,119,102,105,117,115,116,92,181,221,212,212,210,209,208,206,204,204,215,217,219,220,220,206,203,188,167,148,133,117,100,105,116,115,92,142,224,214,214,213,211,209,208,207,204,203,215,216,218,219,218,207,196,185,164,146,131,115,101,106,114,94,128,219,217,215,213,212,211,209,208,207,204,203,215,216,218,219,216,205,188,178,156,140,126,113,103,100,89,132,217,221,216,216,215,214,212,210,208,207,205,203,215,217,218,218,216,201,186,175,154,137,122,111,94,105,175,222,221,217,217,217,215,214,213,210,209,208,206,203,215,217,218,216,214,197,183,171,156,134,118,102,90,190,234,218,218,219,217,216,214,213,212,210,208,207,205,203
15,178,156,158,142,106,177,87,44,97,95,97,100,104,107,117,130,142,152,156,159,166,172,176,179,182,185,188,191,178,157,165,135,116,181,74,51,99,96,98,101,104,107,118,132,145,154,157,162,168,174,179,181,185,188,190,193,179,161,171,127,129,181,62,62,101,96,100,103,106,107,120,134,147,156,160,164,170,177,181,184,188,190,193,196,177,164,175,121,143,174,53,72,102,97,100,103,104,109,122,136,149,158,161,166,172,179,184,187,190,193,196,198,176,165,176,112,160,165,37,77,99,95,100,104,110,111,126,142,153,162,164,167,176,182,186,190,193,197,200,201,173,175,171,127,158,152,102,120,121,126,136,137,135,116,117,129,143,159,166,171,179,185,196,198,196,200,202,205,169,187,158,139,140,138,140,128,121,128,124,120,114,121,120,118,121,126,135,145,145,139,152,181,207,206,204,209,174,169,134,130,130,127,120,115,116,117,117,115,115,128,131,128,126,124,122,134,141,129,118,106,142,199,217,212,177,176,148,118,124,112,115,111,116,120,120,119,123,133,134,131,125,120,126,137,137,134,129,114,98,106,169,218,178,184,153,121,192,94,67,106,104,108,110,113,123,132,134,129,121,123,134,136,129,133,128,120,116,105,94,126,181,188,141,135,204,75,52,106,98,100,102,104,105,121,138,162,145,133,133,133,135,133,129,123,122,125,112,94,185,194,132,149,197,63,65,106,99,100,102,106,107,118,148,192,174,148,138,132,124,129,124,126,125,138,122,106,186,195,125,162,190,52,73,107,99,100,103,105,108,118,183,175,154,118,113,123,103,106,124,127,134,148,128,116,186,193,121,176,179,44,81,106,98,100,103,107,102,149,191,153,141,109,74,85,70,76,154,145,150,143,125,123,188,191,116,187,166,39,89,105,99,101,104,103,116,198,170,139,123,103,68,62,50,81,175,165,158,131,118,124,189,185,116,199,154,35,96,106,100,100,104,96,151,212,170,133,115,79,59,63,45,106,177,178,168,135,113,119,194,182,118,206,138,36,101,104,100,101,104,98,130,200,185,148,120,72,54,61,64,114,170,187,174,139,114,111,201,175,123,216,124,38,106,103,99,100,103,106,104,183,204,175,130,85,48,89,100,103,164,181,159,133,114,99,207,170,131,225,112,42,109,102,99,99,102,106,106,149,219,193,144,94,62,68,120,156,168,154,129,124,110,91,211,159,141,227,97,47,110,101,98,98,100,102,110,128,207,205,179,164,157,157,171,154,137,119,108,111,107,94,214,150,154,225,82,54,110,99,97,97,99,100,111,125,177,213,182,168,165,172,168,128,104,105,101,102,108,111,216,141,167,219,69,61,109,97,97,96,99,101,109,134,198,172,145,143,150,173,167,116,96,98,93,105,108,102,214,134,183,210,60,70,109,97,96,95,99,102,103,162,201,150,143,146,143,163,162,123,96,108,186,131,80,76,210,129,196,200,40,69,101,88,88,88,92,96,99,161,185,145,132,131,128,148,148,125,87,187,253,139,81,80,206,127,204,188,101,119,130,118,114,110,107,108,117,142,162,155,167,164,121,104,143,120,100,179,254,146,87,82,200,131,208,192,162,131,142,142,141,138,139,142,140,138,140,149,155,197,168,102,149,148,127,168,198,134,95,85,194,133,213,191,147,117,132,129,131,131,134,133,134,134,132,136,130,157,197,136,125,140,138,136,139,118,92,91,186,138,217,186,147,125,135,136,136,137,136,137,139,140,142,143,142,139,158,151,142,145,145,146,150,122,79,63
22,88,91,96,113,128,137,141,145,152,159,163,166,170,172,175,176,178,180,179,178,177,176,176,174,173,172,170,169,88,91,98,115,129,139,142,146,154,159,164,172,171,174,178,178,181,173,175,181,179,179,178,179,177,174,172,172,89,91,100,117,131,140,144,149,155,170,174,141,176,176,179,179,196,152,124,187,180,180,182,164,174,179,174,173,90,92,101,119,132,143,147,153,153,188,192,106,170,181,181,182,207,150,107,189,183,186,190,119,135,187,177,175,90,93,102,121,133,143,148,154,155,186,203,112,159,186,181,186,203,140,118,195,182,196,187,110,140,189,179,178,90,93,103,123,136,144,149,155,159,179,209,122,145,190,182,189,196,134,133,196,186,199,169,103,169,187,180,179,90,92,104,123,136,146,151,157,162,175,217,150,130,191,186,187,177,119,143,196,199,207,145,114,192,183,183,181,91,94,106,123,136,148,152,158,164,172,214,161,120,185,189,190,179,109,151,198,205,192,125,148,195,184,185,183,91,94,106,124,138,150,153,158,167,172,208,170,109,170,194,188,183,110,164,209,205,157,105,178,192,187,187,184,90,93,107,127,139,150,154,160,169,172,201,198,130,150,199,177,163,94,189,223,200,136,115,197,189,189,188,186,91,94,107,127,140,152,157,161,169,174,190,205,136,122,187,152,150,121,207,209,185,109,154,202,191,190,189,188,91,94,108,128,143,153,157,163,171,179,184,202,128,87,143,158,179,204,211,190,145,100,190,197,193,192,190,188,90,94,110,128,144,153,157,164,173,179,179,199,149,113,165,170,180,197,193,177,104,142,208,193,194,194,192,190,91,95,111,130,144,155,158,166,172,193,181,143,149,126,153,165,187,180,190,151,94,185,205,197,196,195,195,192,90,95,111,130,146,156,159,167,173,207,174,166,149,157,124,105,155,170,159,112,96,196,203,200,199,197,195,194,89,94,111,130,147,156,159,168,174,215,191,177,179,167,126,91,83,127,125,95,103,207,201,201,200,199,197,195,89,94,113,132,148,157,161,166,181,221,199,153,132,148,152,138,103,76,79,82,104,210,202,202,202,201,198,195,90,96,114,133,149,158,161,170,181,225,207,140,82,91,152,156,136,106,89,72,80,202,208,202,202,200,199,198,89,94,114,133,148,157,161,170,177,223,217,164,148,78,194,178,149,126,107,62,64,196,209,203,201,201,201,200,87,91,113,132,148,157,161,169,174,219,226,175,153,122,216,198,160,132,111,58,76,207,206,203,201,201,202,201,86,91,112,133,149,157,160,171,173,215,227,177,154,186,207,178,161,120,101,54,102,219,203,204,202,202,202,200,84,90,111,133,150,158,161,170,175,204,223,199,163,207,206,159,166,138,95,49,123,219,203,206,203,201,201,200,78,84,108,130,148,157,162,171,179,196,216,202,164,198,198,165,155,141,90,45,162,222,208,210,206,204,204,202,107,111,120,130,141,149,153,160,169,165,205,203,166,162,180,149,132,112,68,59,179,193,187,187,187,186,186,185,116,116,112,106,110,112,112,112,119,80,111,203,144,118,134,121,99,80,61,78,108,104,102,102,103,101,104,101,114,114,115,115,116,115,115,117,116,73,38,107,123,118,127,135,113,84,53,79,114,105,106,105,105,105,85,58,116,117,116,116,116,116,116,121,95,52,58,40,83,126,130,135,104,61,15,56,118,107,107,108,88,62,39,31,116,116,116,116,116,116,118,116,66,59,58,54,43,63,89,78,41,17,6,76,117,105,109,88,48,43,33,23
12,175,176,177,178,179,179,179,179,180,181,180,179,179,178,178,176,175,175,175,174,174,173,171,170,169,168,166,164,176,178,179,180,180,181,181,181,181,182,181,180,180,177,167,156,160,172,176,175,175,173,172,171,170,169,167,165,177,179,180,181,182,182,182,183,182,182,177,167,168,169,147,124,118,149,173,172,170,172,173,172,171,170,168,167,179,180,181,182,182,183,183,184,183,182,166,137,126,140,144,124,104,115,145,140,134,148,169,173,172,171,169,168,180,182,182,183,183,184,184,184,184,185,166,137,113,113,145,134,111,97,100,110,103,102,145,173,174,172,170,169,181,182,183,183,184,185,186,186,186,190,174,149,124,106,141,140,118,95,81,100,97,79,112,169,175,173,171,170,182,183,184,184,185,186,186,187,190,191,183,158,130,105,128,140,122,97,75,95,97,76,95,164,176,174,173,171,184,185,185,185,186,186,186,187,187,177,182,162,133,105,112,137,123,98,73,89,98,78,95,165,176,175,174,173,184,185,186,186,186,186,185,183,169,140,154,160,132,105,102,135,126,102,76,83,96,79,106,169,177,176,175,174,184,185,186,186,187,187,186,181,153,115,113,147,132,102,90,131,135,111,83,72,84,79,125,175,179,178,176,175,185,186,187,187,189,193,189,172,138,105,91,129,130,98,83,130,151,127,92,69,75,78,138,179,180,179,177,176,186,187,188,189,194,191,175,160,131,109,88,114,130,107,91,132,159,132,94,73,80,86,148,181,181,179,178,176,187,187,188,190,197,182,156,151,134,115,89,100,135,128,102,112,132,109,79,73,83,83,138,181,182,180,178,177,187,187,188,192,188,167,138,130,132,116,89,87,135,139,108,75,70,68,66,78,81,67,104,173,182,181,179,178,187,188,189,192,183,159,132,111,121,119,96,79,114,129,104,67,57,73,82,83,72,62,86,163,183,181,180,179,187,189,190,192,189,168,143,115,108,119,99,73,70,100,105,84,87,102,110,98,76,66,95,167,183,182,180,179,188,189,191,193,193,175,150,124,104,108,97,82,67,109,144,135,127,123,122,104,79,67,119,179,185,183,181,179,189,190,192,194,194,180,156,132,108,96,101,101,98,146,174,165,146,130,120,100,74,69,141,185,186,184,181,180,189,190,192,194,189,175,155,132,109,96,98,111,132,170,177,163,144,127,112,94,70,80,159,186,186,184,182,181,190,191,192,192,182,169,154,131,109,106,100,124,159,174,170,154,136,120,104,86,70,113,177,187,186,184,182,181,190,192,193,191,181,169,155,131,113,115,115,147,168,171,163,146,128,112,95,76,88,158,187,187,186,185,183,182,191,193,193,192,183,170,157,136,119,115,123,155,165,166,157,138,118,101,85,70,118,182,190,188,187,186,184,183,191,193,194,193,186,173,160,142,123,110,120,152,158,157,145,127,106,90,74,78,153,191,191,189,187,187,185,184,191,193,194,194,190,178,161,142,123,107,115,142,148,143,130,112,93,78,67,110,180,193,191,189,188,187,186,185,191,193,195,195,192,178,159,142,126,113,115,134,139,129,116,100,83,67,83,157,191,192,191,189,188,187,186,185,192,194,195,195,193,174,153,139,127,121,118,130,137,126,110,94,75,70,130,186,193,192,191,189,188,187,187,186,193,194,195,195,192,173,154,145,137,132,126,130,135,123,105,87,70,100,174,194,194,193,192,191,189,188,187,186,193,194,194,192,190,173,158,152,145,137,130,131,133,117,94,77,72,136,191,196,195,194,193,192,190,188,187,186
14,154,158,162,165,166,169,171,172,173,176,175,177,177,176,176,176,176,175,175,174,174,173,172,170,169,168,167,166,156,160,164,167,169,171,172,174,175,177,178,179,179,179,178,177,178,179,179,176,174,175,174,172,171,171,169,169,158,162,166,169,171,173,174,176,178,180,180,180,180,180,180,179,159,163,176,177,177,176,174,173,173,171,171,171,159,164,168,170,172,174,177,179,180,180,181,181,181,181,180,167,159,145,148,141,164,181,175,173,174,172,173,173,160,165,170,171,174,177,179,180,182,182,183,183,182,195,194,184,175,156,127,109,105,134,175,179,175,174,174,174,162,166,171,174,176,178,180,182,183,184,186,182,193,210,183,156,188,165,131,88,70,72,92,157,181,175,175,174,163,167,172,176,177,180,181,183,185,186,186,193,208,203,157,81,127,117,153,111,56,75,53,62,153,181,176,176,164,169,173,176,178,182,183,185,186,187,189,206,189,149,111,70,58,75,159,139,78,76,74,56,69,176,180,178,165,170,174,178,180,182,184,186,187,194,204,215,168,104,68,50,46,50,120,150,106,81,96,78,63,130,184,179,166,170,176,178,182,183,186,189,188,203,218,215,175,129,87,66,57,48,61,112,121,84,90,77,83,81,170,182,168,171,176,179,182,185,187,189,192,211,222,203,155,116,85,64,62,57,116,169,187,164,114,84,82,68,124,186,169,173,177,181,183,186,188,188,200,221,217,169,113,77,66,56,52,95,194,194,190,194,190,126,86,90,114,186,170,175,180,182,186,187,191,186,208,221,206,179,133,81,57,44,73,183,199,192,192,193,187,116,121,88,118,190,171,177,180,184,187,189,190,192,221,214,193,182,136,94,60,36,43,89,164,197,193,198,159,116,124,82,90,190,173,179,181,185,188,192,186,211,224,207,191,183,131,99,53,41,47,51,69,169,201,169,100,111,118,82,60,164,174,179,183,186,189,191,194,225,214,194,197,178,134,101,52,46,58,66,68,82,114,91,101,117,104,78,57,151,174,179,185,188,191,188,211,226,213,198,197,172,136,96,53,61,80,82,82,78,69,84,103,115,99,67,116,189,176,180,185,189,191,193,227,224,213,196,185,169,132,84,58,77,94,96,93,91,83,85,104,96,76,127,192,192,178,182,186,189,191,205,230,221,205,187,174,161,119,85,68,89,98,101,97,91,89,82,85,77,144,197,195,193,179,183,187,190,191,221,228,213,196,181,164,147,111,88,80,91,104,100,96,84,87,70,70,159,202,195,195,195,180,184,188,191,194,230,223,206,190,171,154,140,110,94,81,91,104,95,88,78,71,101,172,203,199,198,196,194,181,186,190,192,203,235,219,198,182,165,146,129,116,91,81,85,95,90,80,69,146,201,204,201,200,199,197,195,182,186,191,192,220,231,212,185,160,152,142,128,99,82,82,80,85,74,72,153,209,204,202,201,200,199,199,197,183,187,190,204,232,221,201,171,167,156,125,100,78,82,84,70,79,111,177,209,205,204,203,202,201,200,200,199,184,190,186,207,224,213,198,176,164,133,116,96,81,78,71,122,187,210,211,207,207,206,203,202,201,201,200,199,175,176,170,210,220,211,192,174,148,115,107,90,79,63,124,217,215,211,210,208,207,206,205,204,202,202,201,200,69,32,105,219,216,204,186,163,130,103,97,84,71,77,190,214,211,212,210,208,208,207,207,206,204,203,202,200,58,31,85,194,213,197,181,153,114,94,87,76,56,140,214,212,211,211,210,209,209,208,208,206,204,203,202,201
3,95,103,107,110,112,116,120,124,126,128,129,130,131,131,132,132,133,135,134,133,134,133,133,134,135,133,132,132,98,105,111,114,116,120,124,127,129,131,132,134,134,135,135,138,141,106,132,137,136,137,137,137,136,136,135,135,103,110,115,119,122,125,129,132,134,136,137,138,139,140,139,145,151,79,112,148,140,142,142,141,140,140,139,138,107,114,118,122,126,129,133,136,138,140,142,142,143,145,144,148,152,77,90,154,145,146,146,145,143,143,142,141,112,117,122,126,130,133,136,140,143,144,145,146,148,149,149,151,155,78,77,153,150,150,149,149,148,146,146,145,114,122,125,129,133,137,141,144,146,149,150,151,152,153,154,155,164,94,71,153,154,154,154,153,152,151,149,149,116,124,130,132,136,140,144,147,149,152,153,154,156,155,155,150,173,100,61,147,160,157,158,157,156,155,153,151,119,126,132,134,139,143,147,151,152,154,156,157,157,164,178,137,110,93,76,141,164,161,161,160,160,158,156,154,122,130,134,138,142,146,151,155,157,159,162,165,146,136,190,167,95,144,94,132,171,163,163,163,162,161,159,159,126,133,137,140,145,149,153,158,160,159,149,181,177,131,159,172,124,152,67,102,178,163,165,165,164,164,163,162,128,134,139,142,148,152,156,159,162,172,152,138,181,154,134,165,114,146,98,67,157,173,168,168,167,166,165,165,129,136,141,145,151,154,158,160,165,180,186,140,116,166,122,156,112,129,139,83,101,181,170,170,170,169,167,168,131,139,143,148,152,155,160,163,170,151,144,132,71,140,98,147,164,99,141,99,83,179,173,173,171,171,170,170,133,141,145,149,153,157,163,165,173,146,107,130,67,118,100,86,100,49,120,104,85,180,176,176,174,174,173,171,136,142,147,151,156,159,164,166,173,174,138,116,91,95,148,87,22,48,147,111,80,178,178,178,176,175,175,175,137,144,148,153,157,161,165,168,176,171,117,81,67,54,109,79,43,98,169,114,68,164,183,178,177,177,176,176,138,145,150,154,159,163,167,169,175,173,138,102,78,55,56,86,121,147,149,107,67,157,187,180,181,180,178,177,140,146,151,156,160,164,169,170,177,186,153,107,84,84,94,157,191,172,127,88,75,172,186,182,183,181,180,179,141,147,153,156,161,166,170,170,176,186,161,122,104,104,111,183,191,155,120,74,86,186,184,183,184,183,182,180,141,148,154,158,163,167,169,172,176,183,168,137,113,101,120,183,181,141,110,68,106,195,184,186,185,184,183,182,141,147,153,158,162,166,169,174,176,178,167,138,120,117,117,178,174,132,97,63,134,195,185,187,186,186,184,182,142,148,153,158,163,166,169,172,175,174,166,144,133,129,109,169,159,121,87,66,159,194,185,186,186,186,184,182,143,149,154,159,164,167,170,173,176,178,166,150,134,129,101,144,144,106,78,76,177,190,186,186,185,184,185,185,143,149,154,158,163,167,169,172,175,175,176,154,134,120,88,118,117,87,69,119,194,186,188,187,187,189,178,155,145,155,159,164,169,174,177,179,181,177,185,153,133,107,89,104,93,79,82,175,189,190,182,186,180,174,150,118,101,106,110,116,123,127,132,139,140,170,185,155,138,109,100,99,91,67,119,189,159,155,171,136,148,164,117,112,78,79,80,81,82,80,80,84,81,161,178,153,139,131,107,92,80,64,164,202,163,137,150,142,119,151,91,127,85,86,89,89,88,92,96,92,100,175,168,137,132,135,99,84,66,93,153,185,166,148,118,147,127,118,88,140
15,106,118,129,133,135,140,149,157,162,168,173,177,181,183,187,190,192,197,199,202,205,207,209,210,213,213,214,216,109,119,129,134,135,140,150,157,162,169,174,178,181,184,188,190,195,198,200,204,207,209,210,212,215,215,217,218,110,120,130,134,138,144,151,158,164,171,175,178,181,185,189,193,197,200,204,207,208,209,213,214,215,216,217,219,111,122,133,136,139,146,153,160,166,170,174,179,183,187,190,194,198,201,205,206,207,210,213,215,216,217,218,220,111,122,131,135,139,145,152,161,166,171,176,180,183,188,191,194,199,200,204,206,210,212,214,216,216,217,219,220,123,129,141,143,145,155,161,165,162,167,171,175,182,188,191,194,198,205,208,207,211,215,216,218,219,219,220,222,160,146,153,155,156,169,178,180,186,183,173,170,172,173,185,185,179,179,190,210,215,214,218,220,220,221,221,222,140,117,124,134,151,168,172,182,202,194,183,185,189,198,193,194,195,168,150,140,194,221,215,220,220,222,222,223,103,101,110,113,122,136,145,163,194,203,201,202,202,206,211,193,189,210,157,121,108,183,226,218,221,222,223,223,118,132,136,134,137,141,147,149,159,175,193,216,220,185,189,198,154,219,156,123,140,116,183,228,217,223,222,223,117,128,136,138,144,153,156,168,158,138,146,152,182,179,158,169,144,224,160,110,158,166,98,191,224,220,222,224,119,130,137,138,144,150,156,190,149,126,115,128,164,174,135,128,135,179,156,133,156,168,110,100,218,221,221,222,118,131,136,137,145,147,172,207,127,112,124,147,181,172,139,126,136,124,125,141,160,145,99,70,132,233,218,222,120,131,135,138,144,150,166,220,143,112,148,161,178,162,134,128,130,129,128,145,162,158,103,76,68,157,230,225,120,131,137,137,145,148,186,225,218,174,148,132,137,129,109,110,113,125,141,154,159,154,113,80,78,72,142,221,119,130,136,138,143,147,199,226,211,221,189,126,68,62,63,56,63,87,123,144,139,130,104,90,90,82,69,108,119,130,135,138,144,149,176,223,214,192,201,212,119,28,41,33,38,47,82,132,140,133,122,120,105,92,86,77,107,113,119,123,129,132,138,200,217,190,182,219,129,50,42,36,48,40,78,147,159,157,150,141,122,99,89,88,83,86,88,87,91,88,100,220,207,186,172,170,87,58,46,40,53,50,65,125,150,154,152,142,124,102,88,94,92,93,94,94,97,98,99,190,223,194,152,143,119,64,48,50,54,64,75,92,119,131,138,133,121,101,91,93,94,92,94,97,97,100,97,110,163,184,165,150,140,87,57,57,53,63,80,85,99,123,129,122,108,101,98,94,94,94,96,96,97,99,101,98,99,106,108,108,99,91,68,62,51,57,79,90,80,106,120,116,107,102,100,99,94,94,96,97,98,97,99,100,100,103,102,101,100,106,102,85,84,77,89,105,94,94,110,106,101,94,95,99,93,93,94,97,98,98,101,101,101,104,106,106,108,117,123,141,136,117,134,144,151,140,132,124,100,88,104,108,93,93,94,95,97,99,100,100,101,103,104,105,105,105,103,133,124,150,183,185,177,169,151,136,112,109,130,127,92,93,93,95,97,99,99,99,101,104,104,104,105,106,104,103,103,122,150,163,169,145,125,112,120,130,133,151,92,94,94,95,97,97,100,100,101,102,102,103,104,103,104,106,107,108,101,117,130,113,128,139,130,119,135,166,92,93,94,95,96,96,99,99,99,99,100,101,102,103,104,105,106,107,107,107,105,123,147,150,120,127,147,168
13,157,168,176,179,183,189,197,202,206,209,211,215,219,222,224,226,230,231,232,234,234,235,236,234,234,234,236,237,158,169,179,181,185,192,200,203,207,210,213,216,220,223,226,229,231,232,233,235,236,235,236,237,237,236,237,238,162,173,181,183,188,195,203,207,210,213,215,219,222,225,229,231,234,231,232,233,237,243,240,239,239,240,239,240,164,177,183,185,190,197,203,208,212,215,218,221,224,227,231,232,234,248,255,239,187,212,241,240,246,240,242,242,166,177,184,187,192,199,205,210,214,218,221,224,227,230,232,238,236,255,255,238,171,128,164,186,219,249,241,243,167,178,184,188,194,200,206,212,217,219,222,226,231,229,244,221,189,194,240,244,172,117,148,183,125,223,251,244,170,180,186,189,196,202,208,214,216,221,224,229,229,243,255,239,202,153,194,250,216,125,163,185,114,204,255,244,172,182,188,190,197,203,210,216,218,223,223,237,223,183,249,255,236,176,114,228,235,130,158,198,119,221,255,246,174,183,190,192,198,204,212,216,220,220,233,255,230,162,145,255,255,206,113,132,207,125,175,220,138,240,252,249,175,185,192,194,199,206,214,218,220,229,255,255,253,206,117,204,255,194,132,67,118,93,172,197,165,255,248,251,177,188,193,196,202,210,215,219,220,255,233,224,255,225,135,138,254,178,125,67,93,133,173,164,131,242,255,252,179,191,195,196,205,213,217,217,245,255,231,198,242,206,140,113,228,184,125,73,141,193,186,164,139,179,255,251,181,191,196,200,208,215,219,220,255,252,213,183,225,172,125,88,215,219,129,124,227,219,183,137,145,136,241,255,184,193,198,202,210,219,222,231,255,244,212,161,200,161,120,59,186,217,123,207,251,213,179,146,139,120,227,255,187,196,199,202,214,223,225,235,255,255,228,173,157,166,103,73,176,226,205,252,230,197,170,142,120,132,255,255,191,199,201,206,218,226,228,242,255,255,234,190,138,137,139,195,250,255,255,243,215,181,158,138,102,193,255,255,194,202,203,209,220,229,230,249,255,255,238,195,190,193,203,234,255,255,254,234,200,175,150,123,109,248,255,255,196,205,207,214,224,231,231,254,255,255,251,213,218,201,204,245,248,255,243,219,191,167,143,106,135,255,255,255,200,208,210,218,229,236,237,254,255,255,255,232,227,202,215,255,245,249,228,200,175,153,134,89,206,255,255,255,203,210,213,222,232,240,244,245,255,255,255,243,227,206,218,250,251,224,207,182,165,150,108,155,255,255,255,255,206,214,216,225,234,241,248,244,255,255,255,252,233,219,214,235,244,216,192,170,157,132,133,255,255,255,255,255,209,217,219,228,237,243,248,252,250,255,255,255,252,238,217,226,235,209,174,158,145,119,241,255,255,255,255,255,213,218,222,230,240,247,250,255,241,255,255,255,254,237,212,217,217,197,153,150,121,190,255,255,255,255,255,255,214,221,223,233,243,251,254,255,246,255,245,227,239,228,208,209,204,182,155,135,133,255,255,255,255,255,255,255,215,222,225,235,245,252,255,255,250,255,247,229,248,243,225,199,196,177,167,117,177,255,255,255,255,255,255,140,217,221,226,237,245,251,255,255,247,255,255,241,255,246,229,196,191,176,169,111,204,255,255,255,255,224,127,87,218,222,226,238,246,252,255,255,253,255,255,255,255,250,231,202,190,176,167,108,216,255,255,255,169,88,71,76,218,224,228,240,248,253,255,255,250,250,255,255,255,247,226,207,191,178,163,106,210,255,255,209,99,99,85,54
15,70,67,65,65,67,69,69,70,72,81,93,105,112,121,127,131,132,136,139,145,150,153,157,159,161,163,167,168,70,66,65,66,66,68,70,70,73,83,94,106,113,122,128,133,133,136,141,146,151,153,158,161,162,165,168,170,70,66,66,65,65,68,72,71,73,83,95,105,114,122,128,133,134,137,142,146,151,155,159,162,164,167,169,171,70,67,65,65,68,67,67,69,73,85,97,106,115,123,128,133,135,137,142,147,151,157,161,163,166,168,169,172,70,67,66,67,64,70,98,81,77,84,97,107,115,123,132,135,136,137,142,147,153,157,161,164,167,168,169,173,70,68,68,68,55,145,149,113,108,104,100,101,115,123,124,125,132,139,147,151,154,156,160,164,167,168,171,174,71,69,67,66,59,140,126,102,103,102,89,101,105,108,104,98,103,109,122,139,154,161,166,167,167,168,172,174,71,68,67,67,62,79,91,74,80,73,69,99,90,91,86,98,110,101,100,104,116,126,139,156,174,170,173,175,71,68,66,65,67,67,67,67,70,65,68,76,71,69,69,102,107,103,105,108,111,104,88,86,121,180,173,176,71,69,66,65,67,70,69,70,76,87,98,97,98,95,85,92,90,89,81,100,123,115,99,96,64,120,185,173,71,69,66,65,66,67,68,68,75,88,99,113,120,127,132,120,89,74,98,125,128,124,96,106,99,55,142,189,71,68,64,65,66,67,68,67,75,88,101,109,118,137,138,120,103,108,165,123,133,108,115,125,106,85,64,163,71,67,65,65,66,67,68,68,76,89,99,113,162,147,112,95,91,88,155,103,93,117,153,112,131,115,68,72,70,67,64,63,64,65,65,66,74,90,91,144,180,110,88,93,95,66,95,75,64,175,126,107,144,126,91,54,69,66,63,63,63,63,65,65,73,90,90,139,155,90,91,111,117,109,86,61,82,154,80,97,146,135,100,67,69,66,64,62,62,63,64,64,75,90,91,129,137,72,103,119,127,119,89,78,87,91,87,109,129,121,96,67,67,65,62,62,62,63,64,64,76,90,91,133,179,97,94,121,132,117,79,73,85,87,101,110,100,80,74,63,66,66,62,62,61,63,64,64,74,89,91,135,153,169,129,96,92,81,69,77,83,85,92,103,95,63,57,59,66,65,62,61,60,62,64,63,72,90,88,175,156,144,161,115,75,40,43,72,87,90,99,112,96,63,58,58,67,63,61,62,60,62,63,64,73,87,95,131,148,161,150,136,114,60,12,22,47,98,99,101,80,61,60,61,57,54,53,52,52,53,54,56,66,80,94,102,113,135,127,130,107,96,43,23,35,93,112,91,73,69,71,72,105,100,97,93,90,85,84,86,91,99,105,113,120,123,107,97,113,140,88,29,52,64,109,119,104,93,84,78,109,104,104,103,101,101,105,105,101,99,97,95,99,103,105,102,104,166,107,54,71,55,70,93,93,84,74,67,93,92,92,90,90,92,93,91,91,93,87,83,87,90,92,95,84,109,91,93,98,91,88,77,67,67,64,59,98,99,99,97,97,98,100,100,98,99,99,98,100,101,100,101,102,98,100,101,104,103,112,112,87,69,63,58,99,100,102,101,100,99,100,100,100,100,101,100,100,100,99,101,101,102,101,103,99,98,112,125,108,89,70,78,100,102,102,102,101,99,101,102,101,103,102,102,102,101,100,101,102,101,102,102,101,100,95,110,151,99,101,110,100,100,101,99,100,100,100,100,100,101,101,101,102,101,101,102,103,102,102,101,101,101,99,99,188,175,149,139
7,174,175,177,179,178,179,178,178,178,178,177,175,176,174,174,172,171,170,168,168,167,166,164,170,133,22,10,24,176,177,179,180,180,181,181,180,179,179,178,177,177,177,180,175,173,172,170,167,170,165,163,170,158,117,91,79,178,179,182,184,184,184,184,183,183,183,181,178,180,170,151,164,167,163,148,150,144,148,175,159,130,77,163,160,181,183,184,186,184,185,185,184,183,181,182,184,186,173,146,152,175,170,146,141,134,138,179,139,117,109,187,120,183,184,185,186,186,186,186,186,190,195,204,204,196,168,155,160,143,131,134,119,120,105,102,129,148,122,114,91,184,186,187,188,189,189,179,186,201,209,208,198,188,179,175,171,142,102,134,145,129,122,110,111,92,119,113,151,186,187,191,188,204,208,190,184,192,195,191,187,186,183,183,164,140,125,134,142,131,130,123,101,77,111,110,120,187,188,191,194,226,215,201,184,185,193,192,190,188,184,181,164,139,122,107,98,90,91,83,76,71,74,94,162,189,192,189,210,230,216,189,163,169,187,192,187,177,159,142,122,103,111,104,106,115,126,129,128,141,152,160,152,192,194,191,226,224,210,174,154,172,165,154,146,130,121,112,96,91,121,198,190,188,189,188,187,182,179,180,136,194,190,207,233,220,204,185,178,168,150,151,157,154,147,141,137,147,80,93,179,187,183,183,180,177,175,175,174,195,192,228,229,223,218,219,201,162,160,165,163,156,139,135,130,122,88,11,89,197,184,185,182,180,178,176,176,189,206,235,229,226,226,227,202,144,145,154,148,141,129,122,112,98,74,25,55,195,185,187,185,183,180,178,176,195,229,233,231,228,224,216,184,149,139,114,91,88,107,121,130,140,112,38,128,195,185,188,186,185,184,180,177,218,235,232,230,228,216,204,184,164,143,120,107,127,164,163,142,147,124,120,204,187,188,188,187,185,184,182,178,230,234,235,230,220,210,197,172,152,162,146,137,157,155,139,128,126,89,120,205,190,190,189,188,186,185,183,180,233,234,231,227,216,197,167,156,177,183,153,143,146,135,129,119,107,54,144,203,193,193,190,189,188,186,184,181,233,232,229,223,206,182,179,192,201,186,162,133,113,95,82,63,58,101,194,196,196,196,193,190,188,187,184,182,232,227,218,209,199,195,199,195,188,170,137,107,70,116,87,104,161,199,200,199,197,195,194,192,188,187,184,183,224,217,207,204,201,205,195,174,170,156,133,88,124,207,206,209,209,200,201,198,195,194,195,194,190,188,187,183,212,204,207,203,196,194,185,169,167,141,86,120,212,205,204,203,202,203,203,199,198,196,195,195,192,190,188,185,202,193,196,195,185,177,170,161,137,85,102,209,207,205,204,203,203,203,202,199,199,199,196,194,193,191,186,181,200,194,187,177,164,159,151,132,82,92,202,209,203,204,204,204,202,203,200,199,197,196,195,193,188,191,192,174,196,186,173,155,138,134,115,72,97,198,212,208,207,207,205,203,202,202,200,199,199,198,194,191,200,163,82,134,174,157,140,118,107,87,61,110,205,214,208,210,209,209,205,204,203,203,201,199,198,195,198,200,175,68,9,16,146,131,120,110,84,83,149,216,212,209,210,210,209,208,206,205,204,203,200,200,206,207,184,118,45,19,14,9,140,136,114,84,83,205,220,209,209,210,210,210,209,209,207,204,205,206,209,197,164,111,49,18,16,21,15,12,163,149,116,70,100,223,207,211,209,209,209,210,208,208,206,203,197,187,140,77,28,3,10,14,9,10,11,11
13,172,172,173,173,173,174,174,174,174,173,174,175,176,175,176,177,175,175,175,176,174,175,174,174,174,172,170,172,173,173,173,173,174,174,175,175,174,176,177,175,174,174,171,171,180,179,178,176,174,174,176,175,174,173,172,172,174,174,174,174,175,175,175,174,175,176,174,176,188,191,172,137,131,162,160,176,177,176,177,177,175,176,174,173,173,174,175,175,175,175,175,175,176,175,174,196,207,205,191,144,99,76,107,112,179,177,177,176,175,176,173,174,174,175,175,175,175,175,177,176,174,176,176,166,169,194,196,155,108,62,90,67,146,185,174,178,176,177,176,176,174,174,175,176,176,176,176,177,177,145,163,163,140,160,187,169,120,68,103,110,126,188,176,178,177,178,177,177,174,175,177,177,177,178,173,193,194,136,138,165,169,176,169,174,147,69,103,102,117,189,178,178,179,178,177,177,175,175,176,178,177,176,175,209,195,161,136,105,145,170,163,134,98,59,51,107,167,182,180,179,179,179,178,178,174,176,176,177,175,187,147,128,176,185,163,100,45,122,167,140,115,96,71,91,190,180,180,180,179,179,180,179,174,175,176,170,189,197,130,81,105,196,176,134,45,36,92,122,149,162,136,77,123,194,178,181,180,178,179,177,174,175,173,190,200,174,123,103,63,169,188,137,95,35,36,58,173,185,170,133,75,152,189,178,179,179,179,177,175,173,184,201,166,162,137,126,59,119,197,149,130,60,45,39,123,198,184,150,106,82,177,180,178,179,178,177,175,177,192,168,130,155,150,133,81,48,175,178,151,101,33,69,140,186,186,151,127,81,138,189,177,179,179,179,174,181,197,179,141,142,164,130,120,58,68,189,166,139,82,103,200,180,168,141,127,83,133,191,179,181,181,180,173,182,191,176,156,127,145,154,150,111,27,91,180,169,157,122,188,173,151,117,99,70,151,189,180,180,180,180,176,180,194,190,173,150,119,140,158,135,113,38,144,170,156,171,178,159,141,111,78,69,173,184,181,181,180,179,168,168,195,201,187,164,148,135,139,138,153,90,170,191,184,187,170,152,131,105,72,92,191,185,186,185,183,181,95,91,184,203,193,174,158,154,155,137,110,131,191,201,201,178,165,149,123,94,68,110,172,167,171,170,173,174,79,61,152,208,195,183,168,158,163,163,133,127,179,200,196,178,151,135,116,85,74,79,85,88,88,88,88,89,84,73,110,201,190,189,184,170,163,161,151,116,144,195,186,172,149,120,100,81,73,81,74,67,68,79,108,134,82,82,77,173,183,184,187,183,171,161,149,133,117,173,175,157,139,112,91,78,69,82,100,120,149,172,183,175,81,85,74,115,188,177,186,190,175,162,146,133,120,139,162,142,118,104,89,70,75,143,181,188,184,177,181,174,82,82,84,72,150,186,182,182,167,154,141,128,118,118,135,135,119,101,84,56,130,212,189,176,168,155,156,166,82,82,83,76,87,183,179,164,151,143,135,125,106,100,121,139,127,92,72,61,184,197,182,170,146,127,122,138,82,81,80,83,69,153,188,154,135,137,132,122,104,87,124,150,115,81,56,108,213,188,188,171,125,98,119,129,82,82,79,85,72,120,192,160,150,150,136,118,104,87,129,148,94,76,52,171,203,183,199,182,131,84,104,129,82,83,79,84,73,105,194,172,163,163,143,124,114,89,126,137,89,66,73,201,182,177,200,200,150,90,86,120,83,84,79,83,73,103,186,179,174,168,146,134,124,84,119,131,90,55,101,204,179,174,190,207,168,100,75,99
22,139,144,147,150,154,158,162,164,167,169,170,171,172,173,174,174,172,172,172,172,171,171,170,170,169,168,167,166,140,145,148,151,156,160,163,165,167,169,171,172,174,174,175,175,174,174,174,173,172,171,170,171,170,170,168,168,142,147,149,152,157,162,164,166,169,170,171,173,174,175,174,173,175,175,174,175,173,172,173,171,171,171,169,169,142,147,149,153,158,162,165,168,168,169,172,175,174,176,176,202,146,166,177,173,179,179,161,174,172,171,170,169,143,148,151,154,159,164,166,168,172,206,146,169,178,176,180,212,132,156,181,171,196,175,135,177,172,172,171,171,145,148,150,155,161,165,168,169,174,214,140,163,181,176,185,204,136,156,183,173,202,157,139,179,173,173,172,172,146,150,151,156,161,166,169,171,171,210,156,155,184,176,190,209,144,158,182,181,202,147,142,181,173,174,173,172,146,150,153,158,163,166,170,173,170,217,180,148,185,177,193,209,148,160,181,192,208,143,153,182,176,175,175,173,147,151,154,159,164,168,170,174,170,213,200,146,183,179,196,202,148,158,182,207,204,140,163,182,177,177,176,174,148,153,155,159,164,169,172,177,171,207,211,145,175,181,199,205,150,155,188,215,187,131,170,182,178,177,177,176,149,153,156,160,165,170,174,177,172,198,226,169,162,184,203,211,152,156,206,217,169,127,179,181,179,179,177,176,150,154,157,162,167,171,175,175,187,199,179,174,155,186,204,205,145,169,226,209,152,141,186,181,180,179,178,177,151,155,158,163,169,172,177,174,220,225,195,170,130,176,195,191,180,200,219,199,136,162,188,182,181,180,180,179,151,156,158,164,170,174,177,179,225,232,220,180,124,127,173,185,201,197,191,169,133,183,187,184,183,182,181,180,152,156,159,166,171,175,178,186,218,208,201,206,170,136,133,156,182,183,176,135,144,192,185,186,185,183,182,181,152,157,160,166,172,176,178,188,228,207,187,217,216,176,129,118,154,173,165,125,152,194,186,187,186,185,184,182,153,157,160,167,173,177,176,198,233,196,177,176,219,204,165,121,119,151,158,128,163,195,188,188,187,187,185,184,154,158,161,168,174,178,176,207,231,193,161,140,179,213,198,160,117,119,135,123,179,194,190,190,189,188,187,185,154,158,160,168,173,179,177,214,236,196,154,172,160,205,219,195,155,115,111,125,190,193,191,190,189,189,188,186,154,157,160,168,173,178,177,214,231,198,151,180,179,222,221,207,181,146,111,131,197,191,191,190,189,188,187,186,154,157,161,168,175,179,178,213,233,191,160,181,199,235,222,206,191,152,108,139,201,191,191,192,191,189,188,187,154,157,161,169,175,181,179,211,237,182,175,176,216,238,226,202,174,142,108,148,201,193,193,192,191,190,189,188,153,157,161,168,174,180,179,207,235,183,188,175,229,234,221,203,159,129,112,164,200,193,193,190,190,189,188,187,154,158,162,169,176,182,182,205,233,192,195,176,235,228,218,194,153,124,116,187,203,199,198,196,196,194,193,194,141,144,146,149,150,153,150,169,232,207,201,183,231,218,207,178,143,124,120,151,152,151,151,150,150,151,146,139,125,125,126,126,125,124,122,132,228,213,201,179,217,208,182,159,135,125,120,117,115,115,115,113,114,105,111,155,131,131,132,132,131,132,131,137,219,202,189,174,190,191,164,150,140,129,122,125,124,124,122,124,122,143,199,206,131,132,132,132,131,131,131,129,199,185,173,167,169,179,170,151,142,130,124,125,124,124,123,119,158,212,203,181
21,200,202,203,204,204,204,204,206,206,206,207,208,204,199,207,205,206,206,205,204,203,203,202,200,203,131,68,64,203,204,205,206,207,207,207,208,208,208,207,210,221,164,197,211,207,208,207,207,208,205,204,206,185,118,79,70,205,207,207,209,209,210,210,209,210,210,210,212,226,155,183,217,209,210,211,201,187,210,206,210,182,96,81,83,208,209,210,210,211,213,212,212,213,213,213,215,227,156,170,221,212,212,218,204,144,209,208,211,189,111,90,100,210,210,212,213,213,214,214,214,215,215,214,216,233,163,161,222,214,213,224,200,139,211,211,209,213,130,88,98,211,212,213,214,215,215,216,216,216,216,216,216,239,178,160,223,217,215,227,193,143,212,214,211,216,162,91,90,212,214,214,217,217,217,218,218,218,218,219,218,243,189,159,221,220,218,232,191,149,213,215,213,217,199,99,80,214,216,217,218,219,219,219,220,220,220,220,217,242,199,161,212,224,220,238,196,154,218,217,216,215,219,123,81,216,218,218,219,220,221,220,221,221,220,223,219,246,215,168,200,227,223,239,195,154,220,219,218,215,221,175,170,217,218,219,221,221,221,222,223,222,222,224,221,246,227,171,195,229,228,244,192,152,223,220,220,218,220,175,211,218,220,221,222,222,223,224,224,224,224,226,214,222,234,166,194,230,234,238,182,159,228,222,221,220,218,193,217,219,220,221,223,224,224,225,225,226,224,242,221,191,204,181,176,231,238,224,171,170,232,222,223,222,222,214,177,219,221,223,223,224,225,225,225,226,225,249,244,216,173,204,137,200,233,214,162,184,234,224,224,224,224,218,171,220,222,222,224,225,225,225,226,226,229,227,249,238,202,210,147,137,190,190,151,202,233,225,225,224,225,222,204,221,222,223,225,225,226,226,227,226,231,207,200,247,208,201,188,152,140,157,133,208,232,226,226,225,225,225,221,222,223,224,226,226,226,227,229,228,225,233,203,223,213,175,210,195,147,131,126,204,235,227,227,226,225,225,224,222,222,223,224,225,226,228,227,230,232,249,217,161,202,163,187,204,162,125,120,204,236,228,227,227,226,225,224,221,223,223,223,225,226,226,226,241,245,235,183,133,149,194,163,194,186,143,114,207,233,227,227,227,226,225,224,221,223,224,224,225,226,226,231,247,219,200,191,154,112,165,133,176,217,163,122,218,233,227,227,226,225,225,224,222,224,225,225,225,227,228,230,244,216,190,200,162,125,105,157,198,231,191,134,189,236,228,228,226,226,225,224,221,223,224,224,224,226,227,227,240,225,204,196,188,142,130,231,219,224,207,159,147,235,229,228,227,226,225,225,227,229,230,231,230,231,233,234,241,240,211,163,189,157,178,251,231,216,195,165,160,235,229,229,227,226,226,226,178,180,184,187,190,194,198,201,241,243,208,159,186,173,221,253,223,209,181,140,173,241,232,235,233,230,226,224,134,134,136,136,135,135,136,135,233,247,203,178,195,185,248,245,220,201,176,137,147,165,161,161,167,178,201,219,143,143,143,142,142,142,144,137,219,245,207,200,208,193,255,244,218,194,163,139,134,136,152,177,199,219,233,240,141,142,141,142,143,142,145,134,189,247,224,222,217,182,239,236,202,181,147,137,199,214,222,235,237,231,232,243,141,141,140,141,142,142,143,141,153,234,235,225,214,179,211,223,181,155,133,145,238,235,212,205,219,227,225,231,141,141,140,141,143,142,142,144,137,218,231,209,193,170,176,200,163,140,129,160,196,207,226,192,190,208,221,230
10,74,77,83,87,98,118,132,142,146,151,158,165,171,174,187,175,178,189,188,189,189,190,189,187,188,187,185,182,75,78,83,87,101,121,134,144,148,154,161,167,172,177,225,154,140,195,188,189,191,192,190,188,188,188,185,182,76,79,84,89,103,123,135,145,149,155,163,171,174,187,224,163,118,192,193,192,194,193,192,191,190,189,187,185,78,81,85,91,105,124,138,148,152,158,167,173,178,188,224,186,111,183,199,195,196,196,194,191,192,191,190,188,78,83,87,91,106,126,142,150,154,161,169,176,184,185,225,214,124,172,205,198,198,198,197,197,196,194,192,190,79,83,90,92,110,130,143,152,155,163,172,179,185,186,237,226,135,157,211,199,200,201,199,199,199,197,194,192,81,84,91,94,112,132,146,154,158,165,175,183,189,187,236,223,147,145,213,202,204,204,203,202,201,199,197,195,81,86,91,93,113,133,149,156,159,169,177,184,191,189,240,234,147,124,213,206,207,207,206,204,202,202,199,198,81,85,90,94,115,136,151,158,162,169,179,188,193,191,244,244,163,105,208,209,208,209,208,206,205,205,202,201,82,85,91,97,118,136,152,164,167,180,218,149,172,200,234,220,164,93,192,217,210,211,211,209,208,207,205,205,83,88,93,99,115,160,200,149,111,162,200,96,122,212,223,196,148,81,170,223,213,214,213,211,211,210,208,208,84,89,93,101,114,179,196,105,75,91,139,96,52,166,212,169,158,86,160,228,214,216,215,213,212,212,210,209,84,89,92,101,122,149,151,106,92,80,124,106,58,59,123,130,168,112,134,231,216,217,216,216,214,212,213,211,85,89,93,102,124,144,159,163,154,140,143,114,93,57,60,83,127,119,97,217,220,219,219,217,217,216,215,213,86,90,93,102,125,146,164,171,185,191,128,135,114,104,74,63,92,101,74,195,230,222,221,219,219,218,216,214,86,89,94,104,126,147,165,169,204,185,93,115,167,144,121,85,72,83,63,183,235,224,224,223,222,220,218,216,84,88,94,105,129,148,168,175,194,202,159,81,123,179,151,128,93,69,55,156,239,225,226,225,223,221,219,216,85,91,91,103,132,145,191,195,153,216,174,101,103,233,172,151,124,68,47,101,237,227,228,228,226,224,222,221,87,91,93,104,131,145,207,232,148,156,162,106,169,255,193,161,137,80,49,82,234,232,230,229,229,227,226,224,86,90,93,106,132,149,192,232,175,106,170,150,176,255,189,153,138,95,54,81,237,234,233,233,230,228,227,225,87,90,92,107,134,155,170,200,189,118,172,208,179,241,203,158,130,100,62,78,236,235,234,235,232,230,228,227,86,89,92,109,135,156,170,187,189,121,171,255,154,203,208,175,126,93,69,75,235,237,236,235,234,232,230,228,85,88,91,108,134,156,173,176,205,164,196,175,92,163,207,162,121,89,68,86,240,238,237,236,235,234,231,229,87,91,91,108,136,157,176,177,196,235,201,111,120,189,188,149,111,84,65,105,249,237,240,238,236,235,232,230,84,89,90,109,135,158,172,178,181,220,233,204,174,197,164,132,103,88,64,128,252,235,239,238,236,235,233,232,82,85,88,108,134,156,172,175,184,206,226,207,158,161,146,117,105,99,69,143,252,236,239,238,235,235,233,232,80,82,87,108,135,155,174,177,190,80,183,215,141,165,170,164,144,119,66,164,252,238,241,237,237,236,235,232,79,81,84,105,133,154,169,188,121,0,168,236,202,193,174,189,162,117,55,168,255,239,242,239,237,236,235,232
0,169,169,172,174,175,180,181,181,183,183,185,188,190,190,189,189,190,191,192,192,190,191,192,191,192,191,190,190,168,171,175,177,179,181,182,183,184,186,185,188,189,191,191,189,192,192,192,192,192,192,191,192,192,192,192,193,168,171,175,180,180,182,185,184,187,190,188,191,191,189,189,193,192,190,192,194,194,195,196,196,194,194,196,194,170,173,176,179,180,182,185,187,189,190,189,192,196,194,202,192,192,197,212,194,188,223,181,186,201,198,197,194,172,176,179,180,182,184,187,190,189,198,223,193,171,225,227,180,149,212,232,190,156,221,179,153,207,197,198,197,175,177,180,181,184,188,186,192,186,232,239,204,136,187,223,186,131,151,224,196,139,182,205,135,195,204,198,200,176,179,182,184,187,185,213,217,175,233,229,214,154,152,222,198,153,130,230,199,133,131,209,157,144,189,204,200,178,180,183,187,186,201,245,221,170,201,239,212,177,154,222,202,153,148,232,187,133,82,182,189,155,137,177,207,179,182,184,187,183,227,246,228,191,179,239,208,183,145,227,214,142,153,229,164,123,38,129,200,184,124,135,215,181,183,186,186,190,240,245,240,208,163,228,213,176,142,234,215,127,119,195,143,93,31,155,217,193,131,145,218,183,184,187,182,205,234,217,243,218,154,208,215,165,133,222,197,125,78,139,132,65,58,215,218,200,126,176,217,184,186,191,181,228,235,209,224,185,121,175,198,150,113,165,161,119,66,135,124,54,150,228,212,168,118,204,212,185,190,187,195,243,232,186,197,141,83,136,167,138,91,108,141,86,66,166,167,175,212,210,188,130,133,220,209,186,190,183,218,246,225,177,175,150,99,118,161,144,72,81,130,102,179,226,223,209,185,178,151,119,153,221,211,190,194,187,209,246,238,212,168,148,118,107,183,151,57,67,170,227,242,229,215,195,166,143,135,104,171,223,213,192,197,192,207,246,243,225,198,162,141,145,179,147,123,200,245,245,232,222,207,178,148,130,119,117,211,218,217,192,196,191,214,246,245,233,214,198,166,169,187,208,240,246,243,239,224,204,184,157,132,118,109,193,223,218,218,191,195,192,215,246,246,243,228,217,195,183,213,231,246,244,241,231,214,186,159,133,122,98,167,225,216,221,219,192,195,193,211,246,245,246,236,225,212,200,211,229,246,244,233,223,199,171,138,121,101,129,225,218,220,221,220,193,196,197,207,246,244,246,239,223,209,201,204,219,236,231,215,203,182,146,125,104,105,208,225,220,222,221,221,193,196,200,201,241,245,243,231,213,195,194,200,208,215,208,192,170,154,128,105,93,196,230,221,222,223,222,222,196,201,205,203,233,246,243,231,213,193,195,205,208,209,191,170,140,122,99,71,174,234,220,223,224,223,222,223,194,190,190,177,191,206,185,175,166,158,170,186,182,179,155,140,119,95,67,155,233,222,225,224,224,226,225,223,142,124,122,115,102,95,93,80,69,58,58,54,44,43,40,43,51,49,75,211,235,223,224,225,227,225,225,224,113,115,111,103,100,97,86,74,66,50,42,28,19,18,14,11,9,16,23,35,155,238,223,226,227,226,226,226,121,118,116,107,103,93,83,73,62,49,41,30,24,21,18,15,13,15,20,0,96,246,223,228,227,227,227,227,145,115,118,108,106,91,81,70,53,46,39,32,21,19,16,12,11,10,12,9,201,235,226,230,228,228,228,228,163,118,113,109,104,91,77,67,55,45,35,30,22,20,16,11,9,12,0,84,246,224,227,228,230,230,230,230
17,187,190,194,195,197,200,200,201,203,203,203,203,203,202,201,201,201,199,197,197,195,195,193,190,188,186,184,181,188,193,196,199,201,201,203,204,205,205,206,206,206,205,205,204,205,202,201,202,198,197,195,193,192,189,186,183,192,198,199,202,204,205,206,206,208,209,209,210,210,209,208,206,206,204,206,205,202,201,198,196,194,192,189,187,194,199,202,204,207,208,208,209,210,211,212,213,213,214,212,207,213,211,204,209,205,205,202,199,197,195,192,190,198,203,205,207,207,210,212,212,213,214,215,216,215,216,211,223,226,175,163,216,207,206,205,204,200,197,195,194,200,205,207,209,211,214,215,215,214,216,217,216,216,218,211,233,255,143,128,219,209,210,208,206,204,202,198,197,204,206,209,212,213,216,217,218,219,219,219,219,220,220,219,220,255,186,137,221,212,213,211,209,207,205,203,201,207,209,214,215,216,217,219,222,222,222,222,225,223,223,222,223,255,233,155,218,216,214,213,211,209,208,207,204,208,213,216,218,220,221,222,224,224,225,225,226,227,225,223,233,255,255,161,203,223,217,216,214,213,212,209,207,212,215,217,221,224,225,225,226,227,229,230,228,227,228,221,251,255,255,164,187,230,220,219,216,216,214,213,210,214,217,221,224,226,226,226,229,230,229,227,229,255,255,212,213,255,255,172,174,233,221,222,219,217,216,215,212,215,220,222,225,228,228,231,231,231,234,239,230,255,255,244,184,215,252,191,165,233,224,224,223,221,218,218,215,218,222,225,227,230,231,233,233,230,255,255,235,210,255,255,255,255,187,151,156,233,227,227,225,224,220,218,217,220,224,227,229,231,232,234,233,239,255,255,254,189,209,186,255,255,213,125,133,233,231,229,226,225,224,222,219,222,225,230,231,232,234,237,236,246,255,180,207,234,138,107,143,255,255,155,107,223,236,230,229,226,226,225,222,223,227,230,232,234,236,239,236,252,255,201,186,174,141,140,109,255,255,200,100,195,242,230,232,229,228,226,223,227,230,231,235,237,240,243,238,255,255,253,203,171,171,182,158,240,255,231,121,184,245,232,234,232,228,226,226,230,231,232,236,240,242,243,238,255,255,214,181,186,207,212,226,255,255,242,143,180,250,236,235,236,241,239,226,229,231,235,238,240,241,243,239,255,255,237,208,204,230,224,255,255,255,226,150,177,253,236,242,224,180,169,136,230,232,234,238,239,240,243,240,255,255,255,222,203,234,250,255,255,255,208,142,184,250,240,230,134,110,108,101,230,232,235,238,241,242,244,244,254,255,255,247,212,240,255,255,255,252,198,133,178,248,246,175,105,115,109,107,230,235,238,240,243,244,247,248,253,255,255,255,236,236,255,255,255,243,191,120,183,255,186,106,92,77,68,51,230,236,240,242,245,247,248,248,250,255,255,255,255,245,255,255,255,234,190,111,173,177,105,91,81,57,54,36,233,237,241,244,245,248,249,249,248,255,255,255,255,250,244,255,245,232,175,115,109,105,104,93,72,43,39,43,226,231,237,241,243,246,248,251,249,255,255,255,255,236,224,243,229,232,169,108,87,100,96,100,88,48,27,31,139,143,148,151,147,148,153,157,155,185,255,255,247,214,209,217,230,220,153,99,58,79,81,78,103,75,29,21,114,119,121,116,116,116,115,115,113,141,255,251,217,199,202,213,227,195,117,88,67,40,70,58,87,97,46,18,129,131,131,127,132,134,133,131,140,81,245,248,210,198,212,208,200,158,83,11,45,34,44,49,63,94,66,24
15,12,39,45,57,64,70,77,84,92,96,99,102,105,108,110,112,114,116,117,119,121,122,123,123,125,127,128,130,14,41,46,58,64,71,77,85,93,95,100,104,106,109,111,113,115,117,118,120,122,123,123,124,126,128,129,130,16,42,49,59,65,72,77,86,94,96,100,104,107,109,111,114,116,117,119,121,122,123,124,127,127,129,130,131,21,44,50,61,67,70,77,87,95,96,100,104,107,110,112,115,116,116,119,122,122,123,126,127,128,129,130,131,26,45,51,60,65,87,84,85,94,99,101,104,106,110,113,115,116,117,119,121,123,125,127,128,129,130,130,132,30,46,53,59,71,123,96,82,77,88,102,107,107,110,113,116,117,118,120,122,123,125,126,128,129,130,131,133,35,46,54,62,70,102,101,92,83,74,79,94,107,114,114,115,117,120,121,122,124,127,128,129,129,129,130,133,38,45,54,64,68,75,88,87,86,81,83,82,82,92,112,119,117,119,121,123,124,126,128,130,129,130,132,134,39,46,55,62,69,75,81,87,78,82,89,93,89,80,75,97,117,122,122,122,123,126,128,130,130,131,133,135,41,48,56,63,70,77,82,92,91,91,90,90,90,87,79,76,79,102,122,125,125,127,129,130,131,132,134,135,43,49,58,64,70,76,82,91,96,99,101,91,79,82,91,91,82,74,81,105,124,130,128,129,130,132,134,136,43,50,58,65,71,77,84,93,96,99,104,106,97,89,76,77,82,78,76,81,81,105,131,130,131,133,134,136,44,50,59,66,71,77,86,94,95,101,113,87,76,92,89,65,58,70,87,91,92,72,92,134,130,134,135,136,44,51,60,67,72,77,85,94,94,108,112,90,68,65,86,86,80,88,89,96,101,87,59,100,140,133,136,137,45,51,61,67,73,78,87,95,95,104,94,83,83,86,93,77,85,90,81,92,98,90,82,65,126,136,135,137,46,52,61,67,73,78,86,93,96,100,104,86,94,112,103,82,62,63,52,85,103,89,100,72,82,141,134,136,46,54,61,67,73,78,87,93,97,96,123,99,86,109,100,85,81,73,59,70,77,85,92,83,55,118,140,135,47,54,61,66,73,78,86,95,94,107,118,84,60,65,90,98,96,93,83,70,68,67,74,80,65,75,142,136,47,55,61,67,73,78,88,95,93,116,99,65,57,24,30,71,105,106,100,93,88,68,57,67,69,51,119,142,47,56,63,68,74,79,89,92,98,121,82,51,48,34,23,15,54,108,111,106,99,75,57,63,66,52,79,145,48,56,63,69,75,80,90,89,107,111,61,51,76,65,50,29,6,75,114,107,99,80,70,65,64,61,53,122,49,55,62,68,75,81,89,97,112,80,46,91,101,79,77,65,20,39,116,106,100,92,86,76,67,65,55,76,49,57,63,69,75,81,89,102,83,56,70,117,108,85,85,82,66,48,107,112,108,102,97,86,73,66,64,56,51,58,64,69,74,81,91,94,83,84,104,104,102,94,78,79,78,71,91,112,111,108,100,90,81,73,68,64,51,58,63,69,74,82,90,93,99,104,105,109,103,88,68,65,62,82,86,97,108,105,99,92,84,76,72,67,51,57,63,69,74,83,91,93,97,101,104,108,113,114,107,98,84,83,93,75,91,97,95,92,86,79,71,69,51,58,62,67,72,82,91,93,97,102,104,107,111,114,119,120,120,120,109,93,87,98,94,91,89,83,73,70,51,58,61,66,72,81,89,91,96,101,104,108,111,114,116,117,121,129,130,121,111,109,97,86,86,88,83,77
18,185,188,192,194,198,201,204,205,209,210,213,213,213,213,215,216,218,218,219,219,218,219,220,219,219,218,218,217,187,190,193,197,200,204,207,209,211,212,216,215,216,217,217,219,221,221,222,221,220,220,222,221,221,222,221,219,190,193,197,200,202,206,210,213,215,216,218,218,219,220,221,221,222,222,222,222,222,223,224,224,225,225,225,224,193,196,199,201,205,209,213,216,217,219,220,221,222,223,224,225,225,226,228,226,225,227,227,227,228,228,227,226,194,197,201,204,209,212,215,217,220,221,224,223,225,228,228,228,225,224,210,225,231,233,233,228,229,229,229,228,195,200,204,208,210,213,217,219,222,223,226,226,227,230,227,225,248,215,162,154,229,213,211,236,234,231,231,231,198,201,206,210,211,215,219,220,225,228,227,230,232,229,197,164,220,187,124,119,126,178,150,178,244,232,235,235,200,204,209,211,214,218,220,224,226,228,230,222,223,255,190,149,188,179,127,120,96,170,177,111,208,244,235,236,202,207,211,214,218,220,223,227,228,228,241,206,152,205,221,181,195,205,183,179,158,142,157,112,163,254,235,238,203,208,214,218,219,221,225,228,229,232,255,226,183,137,207,203,159,209,221,219,215,171,111,92,161,255,240,242,206,208,214,219,221,224,227,231,231,240,236,249,220,157,141,202,140,158,220,216,220,177,115,74,176,255,242,245,208,210,216,218,222,226,228,232,231,244,196,215,212,179,110,150,160,131,179,175,207,185,130,75,186,255,243,245,209,214,219,222,225,227,230,233,234,248,176,152,193,146,91,111,146,106,115,162,220,205,148,81,208,252,243,246,211,214,218,223,227,228,232,235,237,251,220,177,173,117,78,102,123,88,89,110,235,219,166,93,216,255,244,245,213,217,220,224,227,231,234,237,240,250,214,163,155,118,76,91,123,71,71,150,240,238,185,108,139,255,246,248,214,218,220,224,227,231,234,236,240,249,229,184,148,119,76,94,124,70,162,248,241,230,181,131,95,238,255,251,215,219,222,226,228,232,236,239,239,255,245,205,159,123,106,93,94,166,255,255,249,212,162,129,107,241,255,252,218,221,224,227,230,235,237,240,240,255,247,208,169,144,131,123,157,247,255,251,230,199,141,109,123,255,252,253,220,222,224,229,233,236,240,243,242,253,249,220,190,172,152,138,193,255,255,241,198,171,133,93,154,255,251,254,218,222,225,228,233,236,240,244,242,250,248,226,198,172,157,143,192,255,255,228,189,155,123,91,187,255,252,255,220,224,227,231,233,237,240,245,244,244,245,228,198,173,184,152,176,253,255,211,172,139,115,94,220,255,255,255,221,224,226,233,235,238,243,243,247,242,239,234,209,193,198,159,155,252,235,193,152,125,107,109,249,255,255,255,221,224,229,233,236,241,242,242,245,243,235,230,216,193,198,169,146,239,216,173,138,116,98,136,255,255,255,255,222,225,227,232,235,237,240,241,245,247,240,233,221,196,189,168,139,223,200,150,128,115,90,173,255,255,255,255,220,223,226,230,236,235,239,243,245,246,244,243,219,190,174,146,125,198,170,128,119,113,97,221,255,255,255,255,219,222,228,230,236,237,240,243,246,235,249,242,203,176,146,120,134,180,147,131,124,102,149,255,255,255,255,255,221,224,228,232,237,239,242,245,244,236,255,237,205,184,152,146,145,176,136,136,119,103,225,255,255,255,255,255,221,225,229,233,237,239,242,246,242,242,255,246,220,201,162,148,162,160,137,133,94,168,255,255,255,255,255,255
4,144,147,149,153,154,157,161,162,162,165,166,166,167,169,169,168,168,169,167,166,167,166,166,166,165,164,163,163,144,148,149,155,155,159,161,163,164,165,167,168,168,171,171,169,170,171,170,167,168,166,166,166,167,166,166,164,145,149,152,154,156,159,161,164,165,166,169,169,169,170,172,173,170,170,172,170,169,168,168,167,168,167,166,164,147,151,154,157,159,161,163,165,168,167,168,170,168,180,167,156,174,175,161,173,172,170,170,170,168,166,166,166,149,152,155,157,161,163,165,166,167,167,171,164,193,199,164,123,169,187,138,131,175,174,173,171,170,168,167,167,149,153,157,158,161,163,166,169,163,203,205,162,174,215,164,128,189,184,149,83,156,156,162,176,172,170,168,168,151,155,157,161,164,164,168,167,175,238,235,184,119,210,170,124,213,189,124,113,181,122,95,167,173,169,170,170,153,157,158,163,166,165,171,163,200,227,227,169,110,202,172,130,203,175,155,181,141,110,63,118,181,170,172,172,154,156,160,164,166,169,170,167,221,195,212,149,93,172,183,186,184,209,239,196,111,73,62,105,184,173,174,173,154,159,162,165,167,171,168,179,226,182,195,164,71,150,165,190,208,220,210,189,147,80,45,120,185,173,174,173,155,159,163,165,168,172,166,211,222,175,166,167,60,134,131,98,162,187,173,192,165,103,45,137,185,174,175,175,155,159,164,166,169,168,177,231,189,153,143,106,62,138,132,63,173,135,153,211,176,122,67,162,182,176,176,176,157,162,165,168,171,165,194,234,177,136,128,109,92,111,108,76,165,97,120,241,196,143,80,168,183,177,177,177,158,162,165,168,173,163,213,237,178,134,112,92,96,102,102,116,129,138,156,228,211,154,79,121,189,178,179,178,158,162,166,169,174,166,230,233,178,131,107,92,102,100,130,158,173,211,207,193,192,147,101,86,185,181,181,180,160,163,167,171,173,172,240,232,172,125,126,108,98,90,147,184,211,206,201,180,141,151,112,92,183,181,181,180,159,163,167,171,171,181,248,227,168,142,154,121,101,142,204,221,210,206,186,155,115,121,87,122,191,180,181,180,156,161,164,170,169,185,250,225,183,184,170,126,171,223,238,225,208,197,166,134,107,89,79,166,186,182,181,180,159,162,165,171,169,190,249,234,211,200,181,138,207,232,238,233,190,176,149,126,102,70,118,191,181,184,182,181,159,162,167,172,170,190,251,241,220,193,187,151,213,238,235,219,173,153,136,120,91,76,174,187,185,185,183,182,160,164,167,173,173,179,247,240,222,195,179,169,215,233,214,193,159,135,127,106,69,127,194,184,185,184,184,182,161,164,169,172,175,175,238,230,211,200,181,175,199,208,187,163,143,136,123,82,81,183,189,187,186,184,183,182,160,163,168,172,175,175,233,214,200,206,191,176,189,198,178,151,128,128,109,67,146,195,185,186,185,183,181,180,159,164,168,173,176,175,226,201,199,203,184,159,184,201,173,136,111,114,86,113,195,190,191,187,186,186,185,184,154,158,160,164,170,165,222,212,204,193,180,158,172,199,157,114,102,98,87,164,177,174,175,173,172,171,172,165,93,94,94,93,97,86,214,230,216,199,184,163,160,192,144,105,95,85,77,86,85,83,83,81,81,85,73,92,79,81,81,80,86,68,199,247,221,204,195,169,144,189,153,104,84,77,75,73,72,72,71,70,71,61,112,200,88,89,90,91,95,75,181,248,218,197,192,169,132,180,155,98,81,74,78,81,79,77,78,80,67,127,222,211
2,108,111,116,121,124,127,128,133,136,136,139,141,144,145,145,150,145,153,153,156,158,158,157,159,158,159,160,160,108,113,118,122,125,127,131,133,136,138,140,142,146,144,150,148,91,122,146,153,113,137,166,158,161,161,160,161,109,112,120,123,127,129,132,133,137,139,140,142,141,150,151,113,59,72,129,129,70,92,149,160,160,161,162,162,110,113,121,123,127,129,133,136,139,142,140,145,156,148,109,70,46,62,93,95,85,87,72,149,163,160,161,162,112,115,121,125,128,130,135,138,142,143,145,168,164,117,59,49,52,64,62,82,93,92,44,101,171,161,161,163,113,117,121,126,130,133,135,139,143,141,162,172,133,77,35,34,47,66,62,82,83,75,69,142,169,164,164,165,115,118,123,128,131,134,136,141,140,152,178,129,76,40,28,18,45,80,94,76,100,118,150,170,166,168,167,167,115,118,124,128,132,135,138,140,137,174,157,87,44,40,39,37,69,74,77,134,170,169,170,166,168,168,168,168,115,120,124,129,133,136,140,135,162,172,121,72,38,41,40,55,52,88,149,170,165,165,167,168,169,169,168,169,116,119,125,130,133,138,137,145,178,140,86,38,32,33,49,60,78,173,166,165,166,167,168,170,171,171,170,169,116,121,125,130,136,139,137,177,167,114,66,42,45,34,54,51,125,170,163,167,167,169,170,171,171,171,172,171,119,124,127,132,140,135,165,196,160,106,69,54,52,46,43,81,166,165,166,167,168,170,171,172,171,172,174,174,120,124,129,133,137,134,196,183,138,96,59,51,48,54,54,147,169,165,168,169,170,170,172,175,174,175,176,175,120,125,129,135,135,154,208,171,125,83,54,48,46,48,86,172,166,168,168,169,170,172,174,173,174,175,176,176,121,126,129,136,132,186,199,157,115,72,49,48,51,48,128,171,166,169,169,169,172,175,175,178,179,176,178,175,121,127,133,133,148,209,185,146,108,67,48,49,49,38,148,171,166,169,169,172,173,176,177,162,142,128,145,181,121,127,134,129,184,207,172,133,97,59,44,50,51,41,96,176,169,168,169,174,181,170,143,134,127,92,105,184,122,128,131,143,208,188,157,127,92,58,44,47,51,62,57,112,170,174,176,173,152,140,140,128,101,122,174,179,122,130,123,177,206,175,151,116,83,54,41,47,57,69,82,70,87,131,140,132,121,130,143,91,133,188,179,179,123,126,133,205,192,174,140,104,79,56,37,52,67,83,97,95,81,106,120,139,146,137,103,94,183,177,178,180,124,120,168,206,178,162,129,107,84,56,38,68,90,107,115,107,101,120,135,134,121,108,112,163,183,180,179,179,122,129,200,188,177,158,129,111,84,57,46,87,108,113,121,118,104,117,116,100,125,161,181,181,180,181,179,180,114,162,206,182,175,156,127,108,83,58,54,100,111,110,120,123,83,80,117,160,183,182,179,178,179,181,181,182,123,202,194,178,171,149,119,101,82,59,60,106,108,103,121,94,92,145,178,178,177,177,180,179,181,181,181,182,166,206,179,174,167,134,101,88,70,54,75,97,109,102,97,119,174,180,176,176,177,178,178,179,182,181,181,182,199,186,171,159,151,121,95,79,64,63,80,85,101,88,135,176,172,173,177,177,178,178,178,180,182,182,181,182,185,176,163,147,150,104,81,77,67,73,59,76,121,153,174,171,173,176,177,177,179,179,179,180,181,182,181,182,179,172,155,139,153,96,69,79,77,64,88,148,166,171,170,173,171,174,177,177,179,179,179,181,183,183,181,182
21,106,112,118,130,141,148,153,156,160,162,163,166,168,171,174,175,176,177,179,180,180,181,181,182,182,182,182,182,107,113,120,132,142,150,154,157,160,163,164,168,170,172,170,177,178,179,180,181,182,183,183,183,183,183,183,183,109,114,120,134,144,151,155,159,162,164,166,168,178,181,125,170,182,181,182,182,184,185,184,184,185,185,185,184,110,116,122,136,145,151,156,160,163,165,168,167,185,182,120,165,186,182,183,185,186,186,185,185,186,186,186,186,110,116,124,137,147,152,157,161,165,167,170,168,186,181,126,162,186,184,185,185,188,188,188,190,189,188,187,187,111,118,125,138,147,154,158,161,165,168,170,169,189,187,130,161,189,184,186,186,189,190,185,178,190,189,189,189,112,119,127,140,148,155,159,163,167,168,171,171,190,187,134,155,191,186,189,188,189,190,166,126,177,194,191,191,113,120,129,143,149,156,160,164,168,168,172,171,190,185,136,145,193,186,190,189,192,182,145,131,191,193,192,192,115,120,130,143,150,156,161,166,168,169,173,172,195,188,136,143,193,186,190,193,192,165,126,173,199,193,193,193,116,121,132,145,151,157,162,167,169,169,173,174,202,191,143,148,194,187,191,190,175,142,147,200,194,195,194,194,116,122,134,145,152,159,163,166,168,171,182,163,188,178,139,144,194,188,193,187,158,127,187,198,195,195,196,195,117,123,135,146,153,159,163,168,169,177,180,143,144,144,127,145,195,189,193,181,132,156,202,194,197,196,196,196,118,124,136,146,152,160,164,167,178,192,152,141,119,116,117,147,180,180,181,148,129,195,197,197,198,197,196,196,119,124,137,147,154,160,165,168,197,203,181,161,123,103,116,139,162,163,151,117,171,202,195,197,197,198,198,197,119,125,139,148,154,160,164,175,201,209,212,160,125,105,111,129,143,147,121,137,201,197,198,198,198,198,199,199,119,126,139,148,155,161,164,181,188,180,187,148,121,111,110,122,131,132,116,187,201,198,198,199,199,199,199,199,120,127,141,148,154,162,163,197,186,138,155,161,130,115,110,114,122,109,143,205,196,199,200,200,200,199,200,199,121,128,142,149,156,161,169,197,159,133,142,172,140,119,112,109,115,106,165,205,198,200,200,200,200,200,201,200,120,129,144,149,157,158,180,196,165,162,157,187,153,137,119,109,112,106,171,205,200,201,201,200,200,201,201,200,121,130,142,148,158,158,189,199,183,156,189,211,157,150,124,108,110,109,182,203,200,201,202,202,202,202,201,200,121,131,144,149,159,159,196,209,177,163,217,191,154,146,124,108,108,114,194,202,201,201,202,202,202,202,202,201,122,132,144,150,158,159,202,201,167,177,207,176,150,138,130,113,103,131,205,200,201,201,202,202,202,203,202,202,122,131,143,150,159,160,196,185,177,176,204,173,165,136,120,114,102,159,206,199,201,201,202,203,204,203,202,202,121,133,144,152,160,162,183,190,193,175,207,166,160,138,114,112,104,179,204,200,202,202,203,203,204,204,203,203,121,134,145,152,159,163,177,208,184,171,197,155,142,123,111,108,112,191,202,200,202,203,204,204,204,204,203,203,120,134,145,151,158,163,174,200,180,164,177,148,130,120,112,101,124,200,199,202,203,204,205,205,205,204,204,204,119,133,142,150,157,164,169,184,171,166,169,155,142,127,114,97,134,203,197,200,202,202,203,203,204,203,204,203,119,133,141,150,157,165,168,178,176,172,169,165,154,128,112,93,140,203,196,199,201,202,202,203,203,204,204,203
6,231,234,236,238,240,241,242,243,243,243,242,241,240,238,238,238,235,234,232,231,230,228,224,222,221,219,216,215,231,233,238,241,242,242,243,244,245,246,243,242,241,241,240,239,239,236,233,233,232,231,228,225,223,221,218,216,234,238,242,242,243,244,246,247,248,247,245,245,245,243,241,240,240,238,237,234,233,232,230,227,225,222,220,218,235,239,243,244,245,246,248,249,249,249,248,247,246,245,243,242,241,241,239,238,236,233,231,229,226,224,223,221,237,241,244,244,247,249,249,249,250,250,250,248,248,247,246,244,243,242,240,239,237,234,233,230,227,225,224,222,236,242,245,246,249,250,250,251,251,250,251,251,251,249,247,246,244,242,240,241,238,236,235,235,231,226,226,223,238,241,245,248,250,250,250,250,251,251,250,249,250,250,249,250,250,249,247,243,243,242,240,232,227,222,220,222,239,243,246,249,251,250,250,251,252,252,255,255,255,255,251,243,232,215,199,181,166,177,179,168,152,173,203,184,240,245,248,249,249,252,255,255,255,252,238,219,205,200,193,186,176,167,155,144,132,150,147,151,148,151,168,145,241,244,249,253,255,248,234,219,210,198,179,166,159,163,168,178,176,168,143,134,123,118,119,125,122,122,147,191,245,248,245,234,219,191,176,175,172,168,164,148,124,129,134,122,119,121,127,141,158,178,192,204,209,221,234,235,222,202,189,188,186,180,177,177,175,174,171,159,111,87,76,137,188,211,233,246,255,254,251,248,245,239,233,229,195,186,190,196,193,189,187,188,188,188,183,166,116,97,90,199,255,255,255,250,246,243,241,242,239,236,234,232,199,196,192,190,187,183,180,175,178,182,167,131,98,101,111,98,110,159,227,255,249,248,246,243,240,237,234,233,202,196,192,188,184,178,171,166,161,158,142,113,98,105,113,115,109,91,92,189,255,247,246,243,241,238,237,235,198,192,188,182,180,171,167,163,160,168,164,127,88,80,99,120,122,120,100,109,255,248,248,246,242,240,238,234,191,184,180,172,168,163,162,156,159,174,177,133,93,85,78,73,87,109,84,154,255,249,248,247,243,241,239,236,185,180,168,160,161,157,154,142,145,155,137,108,100,105,105,90,67,92,178,251,255,252,249,248,245,242,240,237,170,169,162,152,149,145,140,130,125,132,113,86,89,103,107,104,89,114,255,255,253,251,249,247,246,243,240,239,158,166,160,151,143,140,138,134,138,142,120,79,67,83,100,109,94,81,238,255,251,251,249,248,247,245,240,238,142,158,161,157,147,135,131,137,148,142,114,93,97,94,80,83,100,178,255,255,255,254,251,249,247,244,240,239,101,117,133,145,141,131,126,125,122,105,91,88,91,95,70,130,252,255,255,255,255,253,251,250,247,244,241,240,25,118,181,139,115,121,126,135,136,153,179,175,133,105,127,236,255,255,255,255,255,254,251,249,248,247,243,240,15,206,255,252,237,245,253,255,255,255,255,255,255,254,255,255,255,255,255,255,255,252,251,248,247,245,242,239,76,250,251,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,250,248,246,244,242,240,237,191,255,250,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,250,248,246,244,242,241,238,251,247,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,250,249,247,244,241,239,238,241,249,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,250,248,244,244,241,238,237
21,162,164,167,168,169,169,169,171,171,171,171,176,173,173,173,173,172,172,171,173,172,171,170,169,168,166,166,165,166,168,172,173,173,173,173,174,175,177,173,150,176,176,176,176,176,176,176,177,176,175,173,172,171,169,169,168,171,172,175,176,178,178,177,178,178,180,188,110,152,188,178,181,180,179,179,179,178,178,177,175,175,175,174,172,174,176,177,178,180,181,181,183,183,183,194,115,130,195,183,185,186,186,182,183,181,180,180,178,178,178,176,175,178,180,182,183,184,184,185,187,186,187,196,117,112,196,187,176,142,175,191,186,186,184,183,183,182,181,179,177,182,183,186,187,189,190,190,190,190,189,203,138,105,194,191,175,116,125,201,188,189,187,186,186,186,184,183,181,185,187,190,191,192,192,193,192,195,190,211,178,106,182,200,173,123,108,198,194,192,192,190,189,188,187,185,183,188,190,192,193,194,194,195,196,198,193,214,186,105,163,207,172,125,104,190,201,196,194,193,192,191,190,189,187,191,193,196,196,196,198,199,199,199,194,217,202,123,148,211,181,152,111,185,203,198,198,197,196,194,193,192,190,194,196,197,199,199,200,201,201,200,200,190,184,156,134,213,177,150,112,181,207,200,200,198,198,197,196,194,193,197,200,199,199,201,201,202,203,202,209,185,137,133,127,209,173,163,110,179,212,203,202,201,200,199,199,198,195,198,199,201,202,203,204,204,206,203,223,212,160,88,100,208,182,183,127,182,214,205,204,204,203,202,200,200,199,199,202,204,205,206,207,207,208,207,223,221,162,121,157,159,146,160,135,142,217,207,207,206,205,205,204,202,200,202,204,206,207,207,210,211,208,202,186,204,167,111,139,126,143,135,138,118,189,215,209,209,207,206,206,204,202,205,207,209,210,210,212,212,213,194,124,154,189,95,54,110,128,98,177,141,145,222,209,212,210,209,207,206,205,206,209,211,212,212,214,212,217,206,151,103,193,135,68,84,69,143,214,178,122,202,216,211,212,211,209,209,206,207,210,211,212,213,213,218,206,201,186,101,174,165,71,95,162,146,198,191,122,145,226,211,212,212,210,211,209,210,211,212,213,214,215,217,224,186,178,114,90,100,57,94,199,190,176,150,111,101,213,216,213,212,211,211,211,211,212,213,214,217,217,216,211,166,164,116,77,65,79,142,203,206,173,121,98,101,211,218,215,214,212,212,211,211,214,214,217,220,219,215,209,202,148,141,118,83,130,199,214,196,167,123,89,125,228,217,218,216,214,213,213,212,214,216,218,219,221,216,222,191,168,154,138,97,166,222,210,199,164,119,78,171,232,217,219,217,216,215,214,214,216,217,219,219,221,220,222,205,183,140,189,172,215,227,218,199,145,106,84,208,226,220,220,218,219,216,215,215,217,218,220,220,222,222,218,217,170,167,187,200,232,238,228,181,128,86,113,231,221,222,221,220,219,217,217,215,218,218,220,222,222,223,205,208,188,184,168,193,221,231,211,157,119,78,155,238,224,223,222,221,220,220,217,215,217,218,220,221,221,224,201,201,196,186,168,186,206,203,176,129,101,83,207,231,225,225,224,222,221,222,222,213,216,218,219,220,220,226,215,190,188,182,180,168,174,179,144,105,77,144,237,225,226,225,225,223,220,219,208,215,217,219,220,221,221,223,226,191,186,180,185,160,158,166,128,90,86,215,228,227,225,225,224,224,222,220,138,216,217,220,220,222,223,223,228,199,179,166,167,151,147,152,122,74,119,234,225,228,227,227,223,229,190,152,110
6,203,203,204,206,206,207,208,207,208,208,210,210,208,208,206,205,206,206,206,204,204,203,203,200,198,200,197,196,203,205,206,207,208,209,210,210,210,211,211,211,211,211,208,206,207,207,206,206,204,204,205,204,200,200,201,200,205,208,209,210,210,211,212,211,212,211,211,211,211,211,209,208,209,207,207,207,206,206,205,204,203,202,201,200,206,209,211,210,211,213,211,212,214,212,213,213,211,211,211,210,211,209,208,208,206,207,206,206,205,201,202,200,208,210,212,211,213,215,215,216,216,216,214,215,213,213,212,212,210,211,211,210,210,209,207,199,198,210,201,200,209,211,212,212,214,215,216,216,217,217,214,214,215,215,214,213,215,215,212,208,204,194,191,166,206,239,183,191,211,212,213,215,218,217,217,217,217,218,219,219,217,215,211,207,197,188,191,198,192,182,184,167,186,202,154,192,213,214,215,217,220,221,220,219,218,218,213,211,211,205,189,179,154,163,172,192,180,166,143,128,124,143,183,208,214,216,217,220,220,223,223,221,220,213,181,178,164,174,191,180,169,140,150,147,126,110,113,138,167,198,210,205,216,218,219,221,221,224,224,220,215,204,189,190,154,104,136,135,118,95,106,114,144,169,202,217,216,212,207,207,218,220,221,225,225,224,220,199,203,206,208,194,138,88,71,69,74,107,159,207,221,222,215,212,213,211,210,209,222,223,224,226,222,215,209,200,193,199,206,176,117,85,74,80,169,207,226,223,219,217,217,216,214,212,211,210,223,223,222,219,214,208,203,197,185,194,193,183,163,101,76,78,202,232,217,222,221,221,221,218,215,213,213,213,223,221,220,215,209,199,197,194,188,190,195,199,179,116,80,74,90,226,223,223,221,221,221,218,218,215,215,214,217,219,222,213,203,197,197,197,192,193,195,192,176,126,78,83,67,152,239,223,223,223,221,220,219,218,217,216,230,232,224,212,204,198,195,197,194,188,193,194,190,156,86,74,79,79,214,231,225,224,222,220,220,219,218,216,238,234,217,207,209,199,195,194,197,198,202,202,192,152,93,75,73,67,210,233,225,226,225,223,222,221,220,218,232,222,212,213,207,198,194,193,193,184,182,178,162,131,99,82,63,140,243,226,227,227,225,225,223,222,221,218,236,217,206,209,195,193,198,190,184,171,163,160,144,121,105,94,63,137,246,228,230,227,227,226,225,226,223,221,238,228,203,189,189,195,199,194,182,171,161,161,146,113,104,105,84,72,219,237,231,229,228,226,225,226,224,221,220,222,193,174,178,189,189,186,173,158,139,134,112,96,98,112,87,71,220,238,233,231,228,227,226,226,225,223,97,158,165,152,163,175,174,163,146,131,117,103,63,77,100,106,78,169,243,234,234,233,230,229,227,228,227,225,50,62,109,128,141,156,149,132,111,95,85,78,70,88,101,111,193,245,236,235,235,233,232,230,228,228,227,226,54,53,49,62,77,101,113,105,115,145,174,140,117,122,165,222,245,237,237,235,235,235,233,231,231,229,228,226,47,50,49,24,20,32,38,47,220,253,250,248,239,241,248,244,240,240,238,237,235,236,236,234,232,231,227,226,44,42,53,42,17,25,6,107,254,241,242,242,242,242,240,240,240,239,238,240,237,235,235,234,232,231,228,228,40,38,48,47,18,22,14,205,254,240,245,244,242,242,241,241,240,239,238,238,237,236,234,234,232,230,229,228,37,35,48,49,22,7,86,255,241,244,244,243,244,244,243,243,241,241,240,239,237,237,236,234,233,232,230,228
18,109,115,120,127,136,144,151,159,164,165,166,170,175,178,182,184,190,191,192,193,194,195,198,199,200,201,203,207,112,117,121,128,137,146,153,160,164,166,169,168,176,175,180,188,186,187,195,197,195,197,198,200,200,202,205,207,113,118,121,129,137,146,155,158,162,169,163,187,201,148,131,168,205,176,146,189,202,198,201,201,202,205,206,207,113,118,124,132,142,148,151,164,203,157,139,213,193,165,147,195,224,170,126,110,188,204,201,202,205,209,208,210,113,119,123,134,139,149,143,220,228,158,147,227,178,186,192,205,183,157,155,110,119,210,200,204,206,208,211,211,115,120,123,129,156,176,139,229,216,175,168,198,179,176,177,178,147,162,161,149,98,178,209,206,209,210,211,212,116,120,126,128,235,199,148,147,232,184,177,133,167,143,150,137,135,181,169,163,129,115,212,208,209,210,213,214,118,123,114,170,255,210,186,136,201,212,170,113,171,160,113,77,166,193,185,180,159,106,144,219,209,212,215,217,117,124,113,206,226,225,213,160,136,213,173,121,133,200,146,73,119,185,191,202,167,137,98,174,221,212,213,216,117,123,118,207,166,215,204,160,101,160,166,119,94,155,134,74,100,192,219,210,172,142,119,112,216,212,214,216,117,121,127,225,159,172,161,119,92,102,123,102,70,97,77,156,226,212,202,196,169,145,124,109,209,219,217,219,118,118,134,243,196,191,154,101,83,79,102,92,48,59,172,244,221,207,191,167,151,135,116,130,221,216,218,219,120,114,157,241,188,173,152,108,74,68,109,87,38,151,255,239,223,200,178,146,127,123,104,167,225,217,219,220,121,109,172,255,212,189,164,127,90,88,100,86,137,243,245,242,219,187,165,139,119,111,106,206,219,219,221,221,121,111,164,255,230,215,197,166,146,148,136,156,227,247,246,229,202,173,150,130,115,98,136,224,216,220,221,223,121,115,159,255,241,221,195,171,165,169,165,210,245,242,236,210,186,161,141,123,113,96,178,224,218,222,223,224,122,117,153,255,245,221,199,185,184,180,192,225,237,235,212,192,174,151,133,122,110,107,210,219,221,222,223,224,121,120,140,255,247,227,208,200,195,195,208,222,225,220,188,173,158,141,124,119,98,140,223,216,220,223,224,224,119,126,125,239,252,237,226,212,199,197,202,209,202,200,177,158,144,132,121,116,97,194,221,217,218,223,224,225,119,128,123,202,255,248,245,226,201,186,174,184,180,178,167,144,131,123,118,97,134,223,218,219,220,224,225,226,120,127,130,159,254,242,241,230,200,176,163,164,169,172,162,137,125,120,114,88,183,222,217,219,221,223,225,226,120,127,137,136,219,233,213,209,193,171,160,159,161,168,165,143,127,122,99,110,216,215,219,221,224,224,226,227,120,126,138,139,171,234,204,188,174,156,160,164,147,161,161,140,121,120,87,146,223,215,220,222,224,225,226,227,119,125,139,148,150,213,188,174,172,162,182,178,146,151,159,140,120,115,85,166,224,216,220,223,223,226,226,227,117,126,139,149,147,191,193,183,191,176,176,178,148,138,152,140,124,113,78,151,228,216,220,223,224,226,226,227,114,125,137,147,148,175,217,200,196,177,167,173,151,131,143,136,121,116,84,123,224,215,220,222,223,225,226,226,115,125,136,146,153,161,235,219,202,181,164,168,157,132,128,132,122,114,94,95,216,216,219,222,223,224,226,226,115,126,135,146,155,157,232,229,203,180,159,163,162,129,123,132,120,111,100,86,201,219,220,222,223,225,225,226
7,136,147,157,163,167,169,175,182,186,191,193,196,199,201,203,205,207,208,209,210,210,211,211,211,211,212,211,209,136,147,158,165,169,171,177,183,187,191,194,196,201,203,204,206,207,209,211,212,212,212,212,213,213,213,212,211,136,148,160,167,171,172,178,184,189,192,195,198,202,204,206,207,209,210,212,214,214,214,214,213,213,215,213,212,137,148,158,168,172,174,180,185,190,194,196,200,202,204,207,209,210,211,213,214,214,215,216,216,216,216,214,214,137,149,159,168,172,175,180,185,190,194,198,201,203,206,208,210,211,212,213,215,217,216,216,217,217,216,215,216,139,150,159,169,172,174,180,186,191,196,199,202,203,206,210,212,213,213,214,217,217,217,217,217,217,217,217,217,139,150,160,169,172,176,181,187,192,196,200,203,205,208,210,213,215,216,215,217,218,218,219,218,217,218,218,217,139,151,162,170,171,177,183,188,191,196,199,202,204,207,211,213,215,217,218,220,222,221,221,220,219,219,218,219,140,151,162,172,175,174,178,197,206,202,206,212,213,216,214,207,204,212,208,209,208,209,217,222,220,220,221,220,140,153,164,171,171,187,217,232,227,211,206,222,231,232,228,210,210,227,213,202,194,176,201,203,219,223,222,221,143,152,160,180,212,233,234,228,224,205,187,194,206,211,210,191,192,210,204,192,183,174,188,170,218,229,223,221,137,160,201,230,236,228,228,234,223,196,185,202,220,223,230,208,198,208,198,210,207,190,182,192,199,204,220,225,187,227,240,231,235,231,231,233,218,185,169,174,207,214,213,209,211,204,207,217,217,207,202,206,189,206,192,210,241,238,237,236,242,233,233,238,232,170,139,145,143,133,145,162,164,170,173,174,177,180,178,180,174,185,178,212,242,245,241,237,238,235,237,247,216,154,130,135,136,111,93,101,181,202,205,207,203,201,198,198,198,200,213,224,245,241,237,234,236,235,238,235,188,136,133,141,140,132,118,96,204,229,226,228,228,228,230,229,229,230,227,225,237,237,238,236,239,238,241,236,182,126,113,123,143,159,143,109,166,230,221,224,226,225,225,225,224,225,225,225,237,243,242,240,243,242,249,234,171,124,119,86,93,141,142,121,169,229,224,226,226,228,226,226,226,226,226,224,239,235,234,228,220,218,225,187,154,130,125,120,101,127,151,169,213,222,223,224,224,225,224,224,224,223,222,221,222,221,214,205,192,199,195,160,145,137,133,119,119,131,145,152,151,149,149,150,152,148,146,146,145,143,142,141,201,201,193,187,180,177,168,140,134,128,136,129,127,128,126,124,123,123,120,121,123,122,123,124,124,122,118,116,158,171,169,160,146,137,133,133,134,131,134,135,135,135,136,135,132,137,138,133,133,131,129,130,130,128,126,126,135,138,131,125,128,132,134,134,132,133,133,132,132,133,132,132,130,136,137,134,136,131,128,127,126,128,126,127,114,108,115,131,134,136,136,134,134,134,134,134,134,132,133,133,132,131,129,131,133,129,128,127,126,125,128,122,126,115,119,132,135,136,136,136,136,136,136,137,135,134,135,135,134,133,131,132,132,131,131,127,126,129,122,141,142,125,119,128,135,135,135,135,135,136,136,136,134,134,135,134,134,133,133,131,130,129,130,128,129,124,132,225,128,121,122,122,133,135,135,134,135,136,136,136,135,135,134,134,134,133,132,132,132,130,129,130,127,122,216,226,132,126,120,116,132,135,135,135,135,135,134,135,134,133,133,133,133,132,132,132,131,130,130,128,140,196,209,190
6,206,208,209,211,212,211,212,212,213,214,214,214,214,214,214,215,214,213,212,210,210,209,208,207,205,204,203,202,208,209,210,212,213,213,213,213,213,215,216,216,215,215,215,215,215,214,214,212,211,211,210,208,207,206,206,206,209,210,212,213,214,215,215,215,215,216,216,215,215,217,218,218,217,216,216,215,214,213,211,211,210,208,207,207,211,212,214,214,215,217,217,216,216,216,216,216,217,218,218,217,217,216,216,215,215,214,213,213,211,210,209,207,214,214,215,216,217,217,218,218,218,218,218,218,218,220,220,220,220,220,219,218,216,216,213,214,212,211,209,208,215,216,216,217,218,218,219,220,220,220,221,221,220,220,220,220,221,221,220,220,217,217,216,215,215,214,212,212,215,217,219,219,220,221,222,222,221,221,222,223,222,222,222,223,222,223,222,221,219,218,216,215,214,214,212,213,217,219,220,220,221,223,223,223,223,223,224,224,223,223,223,223,223,223,223,223,220,219,219,218,216,215,214,215,218,220,221,221,221,224,223,224,224,225,225,225,223,222,223,223,223,222,222,222,220,219,219,218,215,215,213,215,220,221,223,222,223,224,224,226,227,230,230,226,217,202,207,217,221,217,218,218,217,211,213,210,207,214,201,231,221,222,224,225,226,228,228,229,224,223,224,221,212,192,167,195,208,215,215,213,201,204,203,203,204,206,196,207,226,228,228,226,222,222,221,219,215,215,217,218,219,204,152,144,156,167,173,176,178,172,172,173,173,175,176,182,239,235,228,218,215,215,214,211,205,206,203,198,195,176,147,136,125,126,160,179,192,197,203,210,215,215,217,219,238,233,227,215,209,204,198,197,199,197,193,190,191,168,138,134,138,140,177,222,227,227,227,227,226,224,222,216,235,229,223,213,203,195,193,193,195,195,196,203,213,193,142,121,132,145,140,161,216,229,228,229,228,227,208,158,230,224,217,211,200,190,184,183,189,195,202,205,202,185,152,138,133,134,141,140,159,228,231,230,228,225,156,133,225,219,216,215,203,193,186,182,185,189,197,208,192,165,153,151,149,142,133,135,143,223,230,229,228,209,138,131,221,214,214,212,205,198,192,187,187,185,186,197,202,168,133,137,158,158,146,131,164,229,228,228,204,144,122,108,207,206,207,207,205,202,196,191,190,190,192,205,198,164,141,128,136,154,158,144,158,218,195,178,145,117,108,94,152,163,179,197,209,210,204,197,193,190,190,199,196,169,149,151,147,137,140,146,138,146,133,124,112,101,92,86,75,79,103,149,201,208,204,198,194,189,184,179,180,166,163,166,158,148,141,122,116,117,123,118,108,98,86,80,66,61,59,68,132,192,190,181,177,174,171,160,151,137,140,158,164,161,145,116,88,95,109,104,100,96,92,82,58,53,53,55,60,114,179,187,193,200,208,210,152,119,115,131,152,146,133,118,88,78,95,96,92,93,97,86,52,48,45,45,48,167,216,219,222,224,226,227,207,167,157,151,145,106,125,114,83,71,76,88,87,86,93,91,48,42,39,37,67,144,148,150,151,153,155,158,159,158,160,156,133,89,116,110,80,65,67,78,80,82,89,91,44,40,38,38,61,129,130,129,130,129,132,132,130,129,144,145,119,80,109,102,76,61,68,71,74,77,82,86,45,43,42,35,66,136,137,136,136,136,133,134,136,142,129,119,106,79,99,93,74,58,62,69,70,72,76,82,51,49,40,28,88,137,138,137,138,139,136,136,135,124,111,98,93,83,90,90,71,59,58,65,65,69,72,78
3,162,164,166,168,170,171,172,172,172,172,172,171,171,171,172,170,169,167,165,164,162,160,158,154,152,151,149,146,163,165,167,170,170,171,173,173,173,174,173,172,171,171,169,169,170,168,166,165,163,161,159,156,153,151,150,148,164,166,168,170,171,172,173,174,173,173,173,173,172,173,151,133,168,168,167,166,164,162,159,157,155,153,151,149,164,166,168,171,171,173,174,175,174,174,174,174,174,176,145,99,159,170,168,166,165,163,160,157,155,153,151,150,166,167,170,172,173,174,175,175,175,176,175,174,174,175,143,91,149,172,169,167,165,164,161,158,156,155,153,152,167,169,172,173,175,176,177,177,177,178,178,176,175,175,140,85,144,174,170,168,166,165,163,160,158,156,154,153,169,171,174,175,177,179,179,180,180,181,181,179,178,179,152,93,138,175,172,170,168,166,164,162,161,158,156,155,171,173,175,178,179,181,182,182,182,182,182,181,180,174,142,90,128,177,174,172,170,168,166,164,163,160,158,157,172,175,177,180,181,182,184,184,184,184,184,182,184,166,127,89,121,172,175,174,172,170,168,166,164,162,160,158,173,176,180,182,183,185,186,186,187,187,186,184,186,187,162,117,138,136,163,177,173,172,170,168,165,164,162,160,174,177,181,183,185,187,187,189,189,188,188,181,147,141,161,131,150,109,123,176,175,173,171,170,167,165,163,161,176,179,183,185,186,187,188,190,191,189,181,178,144,109,121,131,139,119,84,132,175,175,174,172,169,166,164,162,177,180,184,185,187,187,189,190,191,186,143,132,161,131,101,130,135,130,96,85,151,178,175,173,170,168,166,163,179,182,185,187,188,189,190,192,193,182,150,122,137,148,106,114,119,123,111,80,139,181,177,174,171,170,167,165,179,183,186,188,189,190,192,194,190,157,158,139,113,140,108,69,67,124,120,79,149,182,178,175,173,171,168,166,181,184,187,189,190,192,193,195,176,128,121,134,91,109,99,59,57,122,126,84,159,183,179,176,174,172,169,167,181,183,187,189,191,193,194,196,174,129,90,111,71,86,110,81,85,132,125,85,163,183,180,177,175,174,171,168,182,184,187,190,192,193,195,192,161,123,89,93,81,79,117,93,122,136,113,84,170,185,181,179,177,175,171,169,182,185,189,191,194,195,196,192,172,142,101,82,83,100,142,137,142,124,85,102,184,185,183,181,178,175,172,170,183,186,189,192,194,195,197,194,179,154,116,98,95,146,179,165,137,110,73,141,189,185,184,182,179,177,173,171,184,187,189,193,194,196,198,193,177,157,127,107,106,164,171,153,130,102,83,173,189,186,184,183,180,178,174,172,184,187,190,193,195,196,198,194,169,152,132,117,116,163,164,145,122,87,108,191,190,187,185,183,181,179,175,172,183,187,190,194,195,197,199,198,174,155,142,131,121,154,156,134,104,76,152,195,191,188,187,185,182,179,176,174,183,187,191,194,195,197,200,201,186,162,152,135,118,133,135,111,78,98,189,195,191,189,188,186,183,180,178,175,183,187,191,195,196,197,200,201,195,173,155,137,121,118,118,96,69,152,197,194,193,190,188,186,183,181,178,176,184,188,192,195,196,198,199,201,197,180,154,142,134,122,111,82,92,189,196,195,194,191,188,186,184,182,180,176,184,187,191,194,196,199,201,201,189,180,163,155,141,123,101,71,121,198,196,195,195,193,189,186,185,182,181,178,183,187,191,194,197,200,201,199,182,183,172,157,138,115,89,66,144,200,196,194,193,192,189,187,184,182,180,177
1,79,23,56,68,73,80,96,110,119,123,127,130,132,135,138,141,147,144,147,149,150,151,151,153,154,152,154,154,71,23,61,68,74,82,98,111,120,125,129,130,133,136,144,140,115,148,151,150,150,152,152,154,154,154,155,155,61,26,65,69,76,85,102,114,121,126,131,133,135,135,157,142,79,132,134,151,152,153,154,155,155,155,155,155,51,31,67,69,77,85,105,116,122,127,132,133,141,134,149,138,89,131,95,144,156,155,156,156,156,156,156,156,41,36,68,71,79,88,107,117,124,129,134,131,157,124,129,133,95,143,95,135,160,155,157,158,158,157,157,158,32,42,68,72,79,90,109,118,124,129,134,135,162,113,136,135,99,144,94,126,163,156,158,159,159,159,158,159,24,48,69,72,80,92,110,119,124,129,136,139,165,102,133,131,96,148,102,123,163,157,159,160,161,161,160,161,23,55,71,74,82,95,112,120,127,130,151,124,153,97,136,132,95,140,100,120,166,159,162,162,162,162,162,163,24,59,70,75,83,97,113,121,125,141,145,107,144,100,156,132,94,149,107,115,168,161,163,164,163,164,164,163,28,63,71,76,83,99,114,122,124,158,129,102,137,105,163,122,100,169,113,116,168,162,164,165,164,165,165,165,32,65,71,77,85,102,116,123,129,168,111,117,143,104,144,100,99,162,103,120,169,163,166,166,166,166,167,167,37,68,71,78,87,103,117,122,138,168,97,116,126,91,134,89,113,157,96,123,170,164,167,167,168,168,168,168,42,69,72,79,87,104,118,119,149,166,93,104,132,126,124,143,148,148,95,126,171,166,168,168,168,169,169,169,47,71,73,80,89,106,119,120,162,152,103,109,153,142,123,145,137,137,91,124,175,166,170,170,170,169,169,170,52,72,74,80,91,109,118,123,172,160,145,139,162,156,145,131,122,116,86,123,175,167,169,171,171,171,171,171,56,71,74,81,91,111,116,135,182,146,139,142,133,133,163,160,142,120,83,121,175,168,171,172,173,173,173,172,61,72,76,82,92,112,113,155,175,128,111,108,86,106,159,157,152,136,91,116,178,168,171,172,173,173,173,173,65,72,77,83,95,115,114,166,167,128,125,131,122,160,168,159,139,123,89,91,175,171,173,173,174,174,175,174,68,72,77,83,96,116,115,165,173,141,129,133,163,190,173,153,128,99,85,72,159,176,174,175,175,175,175,175,69,72,77,83,97,115,116,159,182,154,138,133,164,193,174,144,122,90,77,70,156,178,174,176,176,176,176,176,71,72,79,84,98,114,117,150,184,154,141,134,156,186,167,140,113,91,71,85,174,175,175,177,177,177,177,178,71,73,80,86,101,116,121,142,178,152,146,137,143,173,160,136,107,90,67,126,183,175,177,177,179,179,179,179,72,73,80,86,101,115,124,134,169,157,154,146,158,168,145,120,98,83,75,161,178,178,178,178,180,180,180,179,71,74,80,87,103,115,123,131,156,157,151,141,149,155,129,108,95,75,93,178,177,179,179,180,180,181,181,181,71,74,79,85,103,115,125,131,144,155,147,139,128,131,120,103,96,70,109,182,177,179,180,182,182,181,181,181,71,74,79,84,102,113,123,131,136,153,148,137,130,129,128,113,95,68,131,181,174,177,179,180,181,181,181,180,71,72,77,84,102,112,122,128,153,158,151,149,139,130,122,112,89,66,143,181,174,177,179,180,181,181,181,181,71,72,77,84,102,112,122,130,173,169,131,150,141,127,107,97,87,61,129,182,173,178,180,181,181,181,181,181
10,97,98,100,103,107,110,115,125,133,139,144,147,149,153,156,158,161,163,164,166,168,168,169,171,171,170,172,173,97,99,101,103,107,110,116,127,135,141,146,149,150,154,156,159,162,163,163,169,168,169,170,171,172,171,172,172,97,100,101,105,108,111,117,128,136,143,148,149,151,155,158,161,161,170,170,151,171,170,171,173,173,173,173,173,96,100,102,106,109,112,119,131,138,144,149,150,153,157,160,164,158,191,181,114,162,175,173,174,175,175,174,174,97,100,103,106,110,113,121,132,140,146,150,152,155,158,161,164,162,182,187,128,135,181,174,176,177,177,177,177,98,102,104,106,110,114,122,133,141,148,151,154,158,161,163,167,167,176,194,141,114,174,179,180,180,180,180,180,99,103,105,107,110,114,124,135,143,149,154,155,159,163,165,168,172,171,194,162,118,157,185,180,182,182,181,181,99,103,105,109,112,114,125,136,144,150,155,156,160,165,168,171,173,173,192,179,128,137,189,182,184,184,184,183,100,103,106,110,112,115,127,138,145,152,156,157,161,165,169,170,187,177,130,161,141,119,185,187,187,186,186,187,101,103,106,109,112,117,129,140,147,154,157,159,164,168,171,172,199,153,107,136,184,120,173,192,189,189,189,189,101,104,107,110,113,118,130,141,148,155,157,160,165,168,174,174,195,146,119,110,199,128,156,196,190,192,191,190,102,105,107,111,113,119,131,141,150,156,158,163,165,175,167,183,212,164,155,115,152,142,137,199,192,194,193,193,103,105,107,111,114,120,133,143,152,158,160,158,179,216,181,199,186,182,175,132,109,139,124,195,194,195,195,196,104,105,108,112,114,121,134,144,153,158,164,170,181,237,206,207,155,146,180,152,110,115,112,182,199,196,196,196,105,106,109,111,114,121,135,145,155,152,205,225,170,178,212,215,172,107,165,178,135,107,97,164,204,196,198,197,105,106,109,112,115,122,136,147,156,155,213,239,187,117,165,218,165,109,119,180,153,120,92,148,206,198,200,200,105,106,109,112,116,124,137,147,157,163,186,166,195,178,129,163,124,90,92,157,162,135,102,136,206,199,200,201,105,106,109,113,116,125,138,148,158,163,195,152,170,192,116,130,141,83,124,164,162,151,117,124,205,200,201,202,105,107,109,113,116,126,139,150,161,160,206,192,145,130,117,146,149,142,197,186,165,158,128,120,199,204,202,202,106,108,110,113,116,127,141,152,161,162,206,189,165,150,140,148,157,213,214,179,169,153,129,125,198,205,203,203,105,108,111,113,116,128,141,152,163,161,224,218,190,158,155,166,233,238,197,165,153,144,130,133,203,205,204,205,106,108,111,113,116,129,141,152,164,161,224,229,194,168,178,195,253,221,190,167,142,134,126,146,209,205,206,207,107,108,111,114,117,129,142,153,165,161,230,235,192,192,186,205,247,212,181,162,141,128,121,164,212,204,206,207,107,108,110,113,117,130,144,155,165,162,223,226,199,206,190,226,231,198,170,151,137,129,121,175,213,206,207,208,107,109,111,113,118,131,144,155,166,162,208,224,218,212,208,234,214,180,158,140,131,129,125,193,211,207,208,208,107,108,112,113,118,131,144,155,167,163,191,236,231,211,196,208,196,167,146,135,131,121,140,210,208,209,209,210,106,109,112,113,118,133,146,157,166,169,174,226,219,201,183,185,182,170,152,141,132,114,161,214,209,210,210,213,106,108,112,114,120,134,146,158,166,170,169,202,201,188,180,183,180,183,163,139,128,109,176,215,209,211,212,213
5,179,180,180,181,183,185,185,185,187,186,188,187,186,188,192,188,188,188,186,185,184,182,180,180,180,177,176,175,183,183,184,186,188,189,190,189,190,191,192,192,193,190,171,191,190,190,190,190,188,186,184,183,182,181,181,179,189,189,190,191,193,194,195,194,196,198,197,201,197,208,124,170,201,194,195,193,191,190,190,188,187,186,184,181,192,194,195,196,197,197,198,199,202,202,199,165,186,226,130,143,212,198,199,197,197,196,195,193,191,190,189,186,197,198,200,200,202,203,202,205,206,203,214,146,143,236,130,121,219,201,203,201,200,199,198,198,196,194,192,190,201,202,204,203,206,209,209,208,210,205,227,165,126,235,123,120,224,206,207,206,204,202,202,201,201,199,197,194,205,204,207,209,210,211,206,211,213,210,233,172,112,232,139,129,226,209,212,212,209,207,205,205,204,202,200,198,208,209,211,214,212,218,172,169,225,210,236,182,112,227,131,138,230,213,216,216,221,213,209,209,208,205,204,202,213,215,215,216,215,227,182,127,226,213,238,186,102,219,115,145,232,216,218,207,176,210,215,211,210,209,209,207,215,217,218,219,217,232,206,103,222,220,234,181,84,221,142,148,234,216,224,213,145,160,230,216,214,214,212,211,217,219,220,221,223,229,207,101,219,225,227,199,91,196,159,148,234,211,201,185,212,164,191,220,218,217,215,213,220,221,222,224,227,228,233,114,196,232,221,215,92,152,167,158,229,220,169,81,189,183,136,222,222,219,216,216,223,224,226,227,227,230,240,156,156,237,224,219,96,137,166,160,219,218,158,149,213,145,168,233,223,222,219,217,226,227,228,228,230,228,223,228,176,190,216,200,134,155,150,134,188,188,150,223,205,117,219,228,225,224,221,220,226,230,230,231,232,235,214,237,217,171,174,172,144,148,139,135,191,180,166,234,169,110,238,227,228,226,225,225,229,233,233,234,233,237,230,232,247,198,163,160,130,136,136,138,185,176,187,244,130,115,247,230,230,229,228,227,231,233,234,236,237,237,238,234,255,225,147,141,119,116,132,144,181,168,190,249,127,145,251,230,232,231,229,228,232,234,236,236,236,237,238,239,255,234,152,110,113,110,127,165,189,154,182,247,137,162,251,232,234,235,233,228,234,235,237,238,239,239,238,239,255,230,162,110,112,110,153,177,206,209,174,230,141,168,251,233,236,236,234,230,236,237,238,240,242,242,242,237,255,224,166,114,103,126,170,193,224,229,185,184,114,164,255,236,236,236,234,233,236,237,239,242,243,243,245,235,255,229,176,116,104,138,190,218,221,220,188,130,73,151,255,238,239,237,235,235,238,240,241,243,244,245,247,236,253,230,177,121,107,137,205,233,228,204,156,95,56,195,252,240,243,240,237,236,239,243,243,244,245,247,248,238,239,229,174,125,116,133,219,238,212,178,133,64,135,255,242,245,244,242,238,237,241,243,243,244,245,247,250,233,223,226,173,139,126,132,214,216,191,158,102,83,240,253,244,245,245,243,239,238,240,241,243,245,245,247,253,235,216,215,164,154,125,133,194,199,180,137,59,172,255,247,248,246,245,244,242,238,239,240,242,244,245,245,248,239,212,203,167,156,118,129,179,182,154,76,102,255,250,250,247,247,246,244,243,241,238,241,243,245,244,246,250,236,220,208,168,153,125,110,157,139,92,76,228,255,248,249,246,247,245,244,243,241,240,242,244,244,245,246,252,231,225,197,145,140,125,101,130,96,60,192,255,248,252,248,248,249,245,244,242,240
12,210,211,213,215,215,214,215,215,216,217,216,215,215,214,217,218,214,211,211,210,209,209,207,206,205,203,202,200,211,215,216,216,217,218,217,217,218,218,219,219,217,216,207,192,204,216,211,211,211,209,207,207,207,205,202,201,213,215,216,218,218,218,220,219,219,219,218,206,216,219,173,146,127,195,221,215,215,213,209,208,208,207,204,202,215,217,218,219,219,219,220,221,219,221,202,158,140,181,184,160,125,133,203,170,158,192,215,208,208,207,205,203,217,219,218,219,220,222,221,221,219,228,201,171,137,128,198,168,145,122,120,146,131,109,192,216,209,208,206,204,217,218,220,220,221,221,223,223,221,232,211,184,163,119,192,179,152,128,100,141,137,93,132,222,210,209,207,205,218,220,220,220,223,222,223,222,227,234,225,192,169,122,166,184,155,132,91,137,133,100,105,219,211,210,209,207,220,222,222,222,223,223,224,222,234,214,234,199,170,129,137,184,156,133,91,123,141,102,108,220,211,211,210,209,221,222,222,222,222,224,221,220,210,154,198,206,162,137,123,185,159,136,98,115,143,100,123,225,211,213,211,210,220,222,223,223,224,221,220,226,193,136,128,201,168,136,103,179,171,142,110,92,127,93,160,226,213,214,213,211,221,223,224,224,224,234,234,214,168,135,100,175,171,125,93,169,199,165,125,89,111,86,180,225,215,216,213,211,222,223,225,224,232,233,209,197,159,147,105,153,172,135,104,178,215,172,127,98,119,102,201,222,217,216,214,213,223,224,225,224,245,223,182,198,167,155,113,123,183,172,123,146,194,148,105,97,125,98,185,229,217,216,214,212,224,224,223,232,228,204,163,161,177,149,113,101,189,181,148,89,87,86,82,116,124,80,121,231,217,217,216,214,225,225,225,232,219,189,164,125,161,156,132,92,165,180,139,92,69,104,114,114,96,88,93,216,222,218,216,215,223,226,226,229,231,206,181,145,131,169,133,97,78,130,133,94,116,140,153,135,106,95,107,221,220,219,216,216,224,227,228,230,234,212,185,159,126,148,126,116,73,136,198,175,166,157,163,141,113,78,152,233,219,221,217,215,225,227,229,231,236,220,193,168,141,120,138,145,111,192,226,209,184,165,157,133,106,75,188,232,221,221,218,216,225,227,228,233,229,212,190,167,140,121,128,141,161,221,217,199,177,161,145,129,97,82,214,226,222,221,218,217,226,228,230,231,217,202,191,167,135,145,119,151,206,214,206,188,170,154,137,124,81,135,236,221,222,220,219,218,227,229,230,229,217,205,193,164,137,157,139,193,209,208,200,180,162,145,129,104,95,218,228,223,222,222,219,218,228,230,230,232,221,204,194,169,151,148,151,200,199,206,196,174,150,133,124,81,145,242,224,225,223,223,221,219,228,230,230,232,223,208,197,179,158,137,148,197,193,196,181,163,137,122,107,76,207,234,228,225,224,224,222,221,227,230,231,232,229,217,198,176,156,132,141,184,184,179,166,143,123,114,78,129,242,229,228,226,224,223,222,221,227,230,232,232,232,216,196,179,161,144,142,172,175,160,148,132,115,95,82,217,234,229,227,225,225,224,223,221,229,230,233,232,235,210,184,172,156,154,145,164,177,161,143,128,111,69,171,242,228,229,228,226,224,224,225,223,230,231,233,232,234,208,187,179,172,170,158,163,173,158,139,122,89,114,239,232,231,230,229,228,226,224,224,223,230,231,232,227,231,209,191,191,183,173,164,165,170,152,119,109,81,191,242,231,233,231,230,230,228,225,224,223
4,214,214,214,214,214,213,213,212,211,210,210,209,209,208,209,208,203,203,202,201,201,201,200,200,197,195,195,193,215,215,215,216,215,213,214,214,214,215,214,213,210,207,197,198,210,204,203,202,202,201,200,201,198,195,195,193,217,217,216,216,216,216,215,215,212,195,185,196,209,204,171,140,166,214,206,204,208,203,201,200,199,198,195,195,219,219,217,216,216,217,216,217,216,204,195,172,163,170,188,168,131,171,179,152,161,202,203,201,200,200,198,195,219,219,218,218,217,218,217,212,213,207,205,201,174,136,137,174,162,127,123,141,107,161,212,200,201,200,199,197,220,219,218,219,220,219,208,198,197,184,145,146,182,136,99,150,158,128,99,134,122,121,208,202,201,200,198,197,220,220,221,220,220,220,217,218,202,186,147,107,158,139,98,126,143,111,105,145,135,107,194,206,200,200,199,198,221,222,221,222,220,222,198,176,163,194,157,114,138,160,134,124,134,97,114,149,132,107,194,207,201,200,199,198,222,223,222,222,221,224,208,159,108,158,190,145,145,170,183,164,140,135,132,142,153,121,194,207,203,201,200,199,222,223,222,223,222,224,207,162,100,84,186,164,133,148,172,176,140,147,145,141,159,113,158,215,202,202,201,200,224,225,225,224,222,222,185,144,128,119,114,130,114,109,113,151,146,140,139,139,134,117,121,211,204,203,202,202,226,225,225,225,223,220,198,187,163,135,104,98,114,108,106,109,135,141,131,124,135,136,103,191,210,204,202,201,226,226,225,225,225,221,203,189,157,126,104,106,110,115,130,116,102,95,127,153,163,147,104,157,216,203,202,200,226,226,227,226,226,222,211,180,145,118,103,104,115,134,134,133,127,132,151,177,168,152,125,124,213,203,204,201,226,227,228,227,224,224,203,172,146,117,104,113,124,136,147,145,165,189,179,157,189,177,146,106,197,209,205,203,227,227,228,228,225,224,212,190,160,129,112,116,123,148,162,164,176,191,200,186,177,177,147,97,180,213,204,203,228,228,228,229,228,222,211,191,166,134,110,113,133,153,166,180,185,197,196,186,172,150,133,94,187,212,204,204,228,228,228,228,229,219,209,200,177,147,120,116,123,152,174,187,197,203,193,173,162,140,106,113,212,208,206,204,228,228,228,229,229,216,204,205,185,159,136,119,116,156,186,196,207,203,188,166,151,130,87,164,217,206,206,205,228,228,228,228,228,215,199,202,187,163,143,127,120,156,195,199,204,195,177,157,141,114,102,211,210,209,207,206,228,229,229,229,230,215,196,194,186,169,148,133,130,160,200,195,191,184,165,146,133,95,154,222,208,209,206,205,229,229,231,230,232,216,194,192,192,177,152,145,136,164,194,189,184,171,153,138,119,98,203,216,211,208,207,206,229,230,231,230,231,223,197,195,194,181,159,152,136,167,187,184,179,160,139,128,91,142,225,212,213,209,208,207,230,231,231,231,231,231,206,199,201,185,167,152,135,160,184,176,168,147,128,109,96,207,217,214,214,209,209,208,231,231,231,231,231,231,211,209,202,183,171,156,137,147,170,162,149,129,117,83,172,226,214,214,213,211,209,207,232,232,231,232,233,229,218,212,198,185,173,159,143,142,154,148,131,119,87,132,225,216,216,213,212,212,209,208,232,232,231,231,233,229,219,211,195,182,171,159,152,142,142,140,124,103,93,211,220,216,215,214,212,211,210,208,232,232,232,231,233,224,217,207,196,188,183,173,166,149,137,135,118,87,149,229,218,219,215,214,213,211,210,208
4,182,184,185,186,187,188,187,187,187,188,189,188,188,189,190,189,189,189,189,189,189,189,188,188,187,187,187,186,185,186,187,188,189,190,189,189,190,190,190,191,190,184,178,184,189,179,174,188,192,190,191,191,189,188,188,188,187,188,188,189,191,192,191,191,192,191,188,188,194,186,163,151,162,166,151,148,177,193,193,193,192,190,190,190,189,189,189,191,192,193,193,194,193,190,178,163,159,187,193,155,112,123,156,126,104,182,195,193,194,193,193,192,191,190,191,193,193,194,194,193,196,203,199,168,125,121,188,155,110,69,113,124,80,157,199,195,195,195,195,195,193,194,194,195,194,192,190,165,148,175,181,184,132,84,149,161,111,66,79,119,85,145,201,198,196,196,196,195,195,196,196,196,196,199,196,158,102,96,131,188,159,88,97,168,147,83,63,138,104,143,203,200,199,198,198,196,197,196,196,197,198,184,171,164,114,70,75,175,188,111,73,170,171,105,63,133,121,153,203,201,200,199,199,199,196,197,198,198,197,184,138,153,150,100,53,137,183,117,74,140,168,114,64,96,107,156,205,202,202,201,201,201,198,199,200,200,200,188,132,123,154,117,72,95,118,100,82,94,121,95,66,80,82,103,197,204,204,203,202,201,200,200,200,201,202,197,175,151,132,101,75,87,91,95,101,102,98,84,80,110,112,95,156,207,204,203,203,202,200,201,202,203,205,204,183,156,126,101,89,96,97,101,118,114,113,93,115,153,149,129,114,192,207,205,205,204,201,202,203,204,206,205,177,147,125,107,106,109,115,131,136,151,164,165,138,158,161,137,94,142,209,206,206,205,202,203,204,204,206,203,170,136,118,103,110,123,136,159,174,183,198,198,185,169,148,114,83,93,198,208,207,207,203,205,206,205,206,208,184,152,126,114,121,131,144,190,188,191,198,194,184,166,138,104,79,81,188,210,207,207,204,207,207,207,206,211,197,163,133,117,120,133,158,199,190,195,196,193,179,161,137,103,78,99,202,209,208,208,205,207,208,208,207,208,204,177,148,123,122,140,160,200,197,204,205,194,179,160,132,99,74,143,213,211,211,210,206,207,208,208,208,208,209,191,159,131,132,151,156,197,205,211,211,202,185,155,120,94,81,187,216,214,212,211,207,208,209,209,209,208,209,201,169,140,143,162,159,194,208,216,218,214,185,145,111,84,109,211,215,214,212,211,207,208,209,210,211,207,204,206,180,146,149,163,168,196,208,220,221,209,172,136,108,76,154,217,215,214,213,213,208,210,211,211,211,205,196,200,188,155,151,161,169,200,208,217,213,187,152,125,99,84,193,217,215,215,214,213,209,210,212,212,213,206,191,200,195,170,155,157,168,195,206,202,191,165,137,113,84,119,215,216,215,215,214,214,208,210,211,212,214,212,193,194,196,182,166,162,169,184,197,188,168,147,120,96,86,180,220,217,217,217,216,216,207,208,209,210,211,214,202,185,188,184,173,167,165,166,172,166,146,123,96,77,139,216,217,216,218,217,216,215,208,209,209,210,211,214,208,184,186,181,172,167,157,150,156,153,132,102,78,87,198,217,217,216,217,216,215,214,209,210,211,211,212,214,210,187,185,173,164,161,150,139,142,140,114,86,71,122,217,217,217,217,217,216,216,215,209,211,212,213,213,213,211,190,181,156,148,154,146,141,139,127,102,83,69,156,219,218,219,217,216,217,216,215,210,211,213,214,214,214,212,191,188,163,159,168,160,151,139,122,103,86,71,177,218,218,218,218,217,218,217,215
13,162,163,166,167,167,168,170,171,173,172,173,173,174,175,174,174,175,174,174,174,174,174,174,175,174,173,173,172,162,164,167,167,168,170,173,174,174,174,175,175,176,176,176,176,176,175,175,175,174,174,174,175,174,174,175,174,164,166,168,169,171,173,173,174,175,175,176,177,178,178,178,178,179,178,177,179,175,175,176,176,176,176,176,176,166,168,169,170,172,173,175,175,176,177,177,178,180,181,179,180,179,183,184,173,180,176,178,178,178,178,178,177,168,169,171,172,173,174,175,177,177,178,178,179,180,179,180,180,181,211,196,143,156,186,173,180,180,180,179,179,168,171,172,174,174,176,178,179,179,180,180,180,179,182,182,178,192,215,185,131,152,205,147,134,182,180,181,179,170,172,174,175,175,177,179,180,180,181,182,180,183,213,192,166,207,207,195,125,169,195,150,94,152,187,180,180,171,173,175,176,178,179,181,181,182,183,182,177,200,221,206,170,177,175,155,92,172,192,141,88,130,193,181,182,172,175,177,177,179,181,182,182,182,184,184,194,188,213,214,192,138,91,96,85,168,159,100,74,137,193,182,184,173,175,177,179,181,181,182,184,184,181,202,219,177,165,221,201,158,87,80,118,177,149,111,83,142,194,185,186,175,176,178,180,182,182,183,186,184,188,221,219,204,145,192,202,156,108,56,91,185,202,198,122,144,195,185,187,176,178,180,181,182,185,186,188,182,206,217,219,216,171,137,182,145,103,62,113,184,195,193,154,150,195,188,190,177,179,182,182,183,186,187,187,186,218,206,206,209,176,107,154,172,106,112,210,206,186,168,158,133,191,189,190,177,180,182,183,185,187,188,186,201,221,209,189,178,142,86,131,189,137,195,221,207,188,161,142,121,188,193,190,179,180,183,185,186,187,189,187,204,221,214,192,167,141,101,78,170,204,219,211,204,182,155,121,138,197,191,191,181,182,185,187,187,187,191,189,202,221,215,193,157,155,126,103,210,221,218,211,194,164,144,111,157,200,192,192,181,183,186,188,188,188,190,188,207,221,218,201,187,164,185,201,221,219,216,208,182,160,137,105,167,201,193,193,182,184,187,188,189,190,193,190,209,221,220,210,205,188,197,207,220,215,209,203,177,153,121,105,184,198,194,195,183,186,188,189,190,192,195,190,205,221,220,215,207,195,194,199,219,210,198,197,176,134,102,135,204,195,197,196,184,187,188,191,192,192,194,193,200,221,221,221,208,192,196,200,209,196,188,184,151,110,99,186,202,196,198,197,187,188,189,192,193,195,198,194,191,214,209,198,182,176,191,196,210,197,185,166,125,82,134,208,197,200,199,199,187,189,191,191,193,192,155,145,143,137,122,109,104,102,103,108,118,112,113,111,93,101,204,202,199,200,199,200,187,189,192,192,196,186,125,126,126,119,106,100,96,88,81,76,61,53,51,47,46,65,138,200,202,200,200,200,188,190,192,193,197,195,134,125,127,116,106,102,98,88,83,75,67,60,54,48,44,43,31,100,211,198,202,201,189,191,192,194,197,201,140,123,123,113,105,102,95,86,78,71,63,56,51,47,43,48,33,133,213,202,203,203,188,190,192,193,195,202,144,125,122,113,112,104,93,82,75,70,62,54,50,46,45,32,97,216,203,204,203,203,187,190,191,193,195,201,146,120,122,111,109,102,90,77,71,67,61,55,50,46,43,44,186,209,203,204,203,203,187,190,192,195,196,201,145,119,119,111,106,97,86,76,70,68,62,55,50,46,35,87,214,202,205,203,204,203
23,181,182,183,184,185,185,185,186,185,186,186,186,187,186,186,187,186,185,185,184,184,183,183,182,181,180,181,169,183,184,184,185,187,187,187,187,188,190,189,188,189,188,189,190,190,187,185,186,185,185,184,183,182,183,181,181,184,185,187,189,189,190,190,190,190,191,191,191,190,191,191,190,191,191,191,188,187,187,186,184,184,185,184,183,187,188,190,190,190,190,190,191,191,192,192,191,192,192,192,192,193,194,192,191,191,190,190,190,189,187,186,185,189,190,190,191,192,192,192,193,192,193,193,193,193,193,192,192,193,195,192,192,191,185,186,187,187,190,188,187,190,191,192,194,194,194,194,194,193,194,195,196,194,193,193,194,194,191,201,213,206,195,189,143,112,199,189,190,191,192,193,193,194,195,196,194,195,195,197,198,197,196,197,198,195,210,223,217,168,147,145,99,129,199,191,192,193,194,194,197,196,198,199,198,198,199,200,198,200,200,197,199,221,221,196,160,85,130,154,172,198,194,194,194,194,195,195,197,199,199,198,199,200,199,199,199,200,199,195,216,236,193,101,100,164,205,200,198,195,195,194,195,195,196,198,199,199,199,199,199,200,200,200,200,201,197,205,227,235,147,70,190,209,198,195,200,200,194,197,197,196,198,199,199,199,200,201,201,199,201,201,202,203,199,220,226,225,158,168,206,172,190,203,183,185,202,199,198,198,198,199,200,200,200,201,202,201,200,202,202,203,203,218,216,201,217,221,216,144,130,186,164,137,204,199,198,198,199,200,200,201,200,200,203,202,202,195,177,183,200,204,207,122,178,180,188,145,85,161,176,109,204,200,200,198,200,201,201,203,202,201,204,202,212,207,180,150,167,182,209,188,214,213,193,131,66,122,149,100,208,201,200,199,201,203,202,202,203,204,204,206,223,222,215,188,173,161,159,149,155,182,195,149,69,57,89,72,189,207,201,198,200,203,203,202,203,205,205,203,219,232,221,214,192,170,185,165,142,134,139,144,98,48,66,60,126,215,201,197,199,201,201,201,202,202,205,200,214,234,215,208,180,130,151,188,178,158,136,87,109,61,52,68,94,211,202,197,200,201,201,201,202,203,206,199,214,231,224,219,144,100,85,142,148,135,108,65,102,69,46,61,142,212,198,200,201,201,202,202,203,203,207,197,214,232,236,216,139,79,38,84,166,118,61,76,119,75,45,83,196,204,200,200,200,202,203,203,204,205,207,193,216,236,230,194,145,92,22,113,146,83,31,108,123,78,47,155,213,201,202,199,200,201,202,203,204,205,205,195,220,236,217,179,135,98,34,93,104,22,34,128,108,56,86,210,204,203,203,198,198,199,200,201,203,205,203,201,225,232,206,168,130,96,31,75,73,6,82,119,74,47,159,215,202,205,205,205,205,205,206,207,209,210,203,207,233,224,191,162,132,100,41,68,54,21,105,91,51,72,203,206,203,204,204,166,169,172,176,180,186,193,187,210,221,210,176,150,128,103,45,57,54,52,74,71,57,155,221,212,214,213,212,85,84,83,87,91,91,85,116,211,212,198,157,144,147,100,53,45,59,86,79,64,72,149,156,159,164,167,169,90,88,87,87,87,90,79,113,208,207,186,154,161,160,91,69,52,72,96,93,75,80,74,75,78,73,71,81,89,91,90,89,90,92,83,130,213,198,188,166,173,160,103,78,64,79,89,82,80,92,88,89,94,118,157,189,89,91,92,91,92,95,80,145,224,210,204,183,179,159,114,81,68,74,82,79,93,102,123,167,198,216,207,209
21,88,90,95,100,104,108,111,113,115,117,119,121,121,122,121,121,122,121,119,119,118,118,116,115,114,114,112,110,90,92,96,101,106,109,112,114,116,118,122,122,122,123,122,123,120,121,123,120,120,119,118,117,115,116,114,112,92,94,98,103,108,111,114,116,118,121,122,124,124,124,125,123,135,114,102,125,121,120,121,119,117,117,116,113,93,95,99,105,109,112,115,118,120,122,124,126,126,126,128,122,154,118,71,129,121,122,121,120,120,119,117,115,94,96,101,107,111,114,117,120,121,123,125,127,128,128,128,122,156,116,68,127,123,123,122,122,116,118,118,117,95,97,102,107,113,115,117,121,122,124,126,128,129,128,129,124,162,116,67,126,125,125,123,144,91,99,124,119,97,99,104,110,114,116,119,121,123,125,128,128,128,129,129,126,169,122,73,125,128,125,130,149,71,99,125,119,97,101,106,112,115,119,122,122,125,128,129,130,129,130,132,127,173,123,79,126,130,123,143,136,66,110,125,121,98,100,107,112,115,120,121,124,128,129,131,132,132,132,131,130,174,117,82,126,131,126,156,120,71,118,124,121,99,101,107,113,116,121,124,126,128,130,131,133,133,132,130,139,183,121,83,124,131,133,167,112,80,127,124,123,100,103,109,114,119,122,125,128,129,131,133,135,131,148,142,125,172,137,88,126,128,149,166,99,91,132,125,125,101,104,110,116,119,123,126,128,131,132,134,133,137,189,160,110,93,126,91,129,131,171,152,84,101,134,126,126,103,105,112,117,121,125,128,130,132,133,139,161,129,157,178,125,62,76,94,130,148,174,131,74,117,132,128,128,103,106,113,119,124,127,131,133,135,130,165,192,140,101,168,123,61,54,91,133,156,157,108,82,133,130,128,128,104,108,114,120,125,128,131,134,136,134,179,197,168,90,125,133,67,46,69,110,135,138,88,103,137,130,129,129,105,109,115,121,127,129,133,135,137,143,176,165,175,84,99,162,108,56,47,75,100,104,79,129,136,132,131,129,106,110,118,123,127,130,134,137,136,150,185,156,163,115,75,163,151,91,46,63,90,74,86,142,134,134,133,131,106,111,119,124,128,131,134,139,135,168,193,152,137,132,65,124,158,124,69,43,72,61,95,143,135,136,135,132,107,111,119,125,129,133,136,141,136,180,180,132,109,93,80,89,150,151,110,52,51,54,108,144,137,137,136,134,108,112,120,126,131,134,137,142,138,184,180,131,101,103,111,113,147,173,141,87,48,54,128,144,139,138,137,136,109,114,121,127,132,135,139,143,141,187,180,130,100,117,123,164,168,173,162,117,64,65,143,142,141,142,139,137,108,113,121,127,132,136,140,143,143,187,180,133,104,128,139,184,176,167,155,134,85,77,150,143,143,142,140,138,107,113,121,126,131,135,140,143,143,188,183,129,117,129,152,192,182,167,137,119,85,79,150,143,142,141,140,138,107,113,121,128,133,136,141,145,143,187,185,128,140,125,170,199,183,161,138,94,65,85,151,144,143,142,141,139,108,114,122,129,134,137,141,146,145,182,182,142,157,125,174,200,180,158,132,87,56,105,154,145,145,143,141,139,108,114,122,127,133,137,141,146,143,174,181,163,163,123,168,195,168,146,114,81,61,130,151,145,145,143,141,140,107,114,122,129,135,139,143,148,146,167,187,174,161,122,158,183,148,124,95,69,77,154,150,149,148,147,146,141,102,106,111,114,117,119,122,125,124,139,186,170,153,118,137,168,130,103,86,66,83,125,120,119,118,117,114,123
15,127,119,102,108,77,71,116,19,19,53,51,54,57,60,62,72,85,95,103,106,110,116,120,124,127,129,131,134,133,120,103,112,72,85,115,9,27,54,52,54,58,61,64,76,87,98,106,108,112,119,123,126,129,132,134,137,138,118,106,116,65,98,110,2,35,55,53,54,58,61,65,78,89,100,107,110,114,120,125,129,132,134,137,139,141,120,111,118,61,113,99,0,42,55,54,55,59,61,67,80,92,102,108,112,117,123,128,131,134,137,139,141,142,120,116,117,61,126,86,0,48,55,54,57,61,62,68,82,94,105,111,114,119,125,130,133,136,140,142,144,141,119,120,112,63,134,72,0,53,53,53,55,57,59,70,84,96,107,112,115,120,127,132,137,140,142,145,147,142,120,123,105,67,142,58,7,60,57,62,68,76,73,69,86,98,110,118,119,125,134,140,141,142,145,148,150,139,123,131,106,91,110,89,84,83,82,90,92,88,79,72,74,80,89,101,110,115,117,121,140,153,149,150,154,134,128,125,94,91,92,87,84,73,76,76,71,69,71,81,79,78,78,78,84,93,88,79,78,104,149,162,157,135,126,105,82,81,77,76,71,70,73,73,73,72,79,87,87,82,79,75,81,95,93,86,74,55,68,126,166,135,125,129,79,85,81,60,64,66,72,74,73,74,84,87,84,81,76,77,89,87,86,87,79,72,59,52,88,132,127,136,69,124,122,7,45,60,57,59,61,65,74,86,91,87,77,84,87,88,86,87,78,74,76,68,52,131,134,134,66,135,108,0,48,59,55,57,59,60,64,79,108,133,105,93,88,86,86,83,83,74,84,81,66,132,137,130,67,146,95,0,54,59,55,57,60,61,66,81,132,128,107,84,87,77,70,74,83,75,93,92,75,136,138,124,72,152,80,0,58,58,55,57,60,63,61,108,139,104,94,51,53,59,38,58,96,85,102,93,78,139,141,116,77,155,65,2,61,57,55,58,60,60,73,140,116,93,80,51,24,26,9,63,122,108,104,81,75,141,144,108,86,159,51,7,63,57,57,57,61,54,121,152,102,84,67,39,21,18,6,83,128,122,106,76,69,141,147,99,95,158,39,14,65,57,56,57,61,56,130,145,114,84,59,21,17,14,20,98,128,134,115,80,65,144,152,92,107,154,27,20,66,56,56,58,61,56,93,151,134,101,66,23,14,43,42,78,126,134,111,80,68,146,156,85,121,154,17,28,66,56,55,57,60,61,69,142,154,123,76,31,8,44,67,89,125,113,92,79,61,147,157,80,134,149,9,35,66,56,55,56,59,61,67,114,168,135,97,71,57,63,108,116,103,81,70,73,58,150,154,75,147,138,2,41,63,54,54,54,56,58,72,92,155,153,139,130,124,130,118,84,69,63,61,62,58,153,150,76,157,125,0,47,61,53,53,53,56,57,72,91,147,136,108,102,111,124,107,66,55,59,49,61,67,155,143,77,166,110,0,53,60,52,51,52,55,59,67,127,147,101,98,98,107,126,107,62,52,50,79,56,48,156,135,83,174,94,0,54,55,49,48,50,54,58,67,142,127,99,92,92,97,113,105,70,50,133,164,50,39,158,127,88,175,84,13,65,60,52,50,50,50,54,67,119,117,98,95,85,77,91,92,67,52,168,172,57,44,161,119,101,164,124,97,96,98,94,91,87,88,90,91,97,105,109,131,133,78,58,116,83,79,152,159,62,49,162,111,110,161,131,80,78,84,84,84,85,89,90,89,83,85,88,90,142,124,66,90,92,87,96,95,60,51
4,162,163,163,164,165,163,163,163,164,162,161,162,162,160,158,159,161,161,157,156,156,155,155,154,153,152,151,150,164,164,165,166,166,167,165,165,165,163,162,164,162,165,167,158,146,148,160,158,157,157,156,156,155,154,152,152,166,167,167,168,168,169,168,166,165,169,177,175,157,138,169,193,163,118,109,169,163,160,156,157,157,155,154,153,169,169,170,169,169,170,167,170,173,141,169,185,160,107,84,162,160,112,68,115,141,146,163,159,157,155,156,155,169,170,171,171,172,166,182,194,163,117,84,161,143,97,60,118,135,89,68,55,99,94,109,164,157,157,156,157,171,171,170,172,172,171,206,200,151,117,66,144,135,95,54,98,122,90,63,64,95,77,59,156,162,159,158,157,172,173,171,174,171,181,202,195,161,172,87,109,164,142,53,78,146,124,68,78,103,75,59,153,164,161,159,158,173,173,173,175,173,181,206,176,183,197,110,83,190,148,55,63,162,130,65,84,143,106,73,156,165,162,160,160,173,175,175,176,176,176,207,187,175,149,90,69,136,114,66,62,103,111,40,81,176,120,91,165,164,163,161,161,175,176,176,177,175,180,219,210,185,152,119,99,73,69,74,92,137,145,79,72,131,97,119,173,165,163,163,162,177,177,178,181,173,196,224,198,169,155,136,125,109,122,129,145,179,139,101,79,76,55,149,172,167,165,164,163,178,179,178,182,174,207,213,177,146,124,134,191,160,166,182,152,161,127,118,90,77,70,159,171,168,167,166,164,179,181,181,182,177,216,212,179,155,130,128,185,161,164,173,163,147,143,140,103,66,61,156,173,166,168,166,164,180,183,183,181,184,224,213,184,158,134,112,128,136,133,147,130,124,169,160,118,77,55,151,176,168,169,167,167,183,184,184,180,192,226,207,186,155,120,109,98,82,86,126,93,109,179,173,127,90,58,141,180,170,169,169,168,185,185,186,181,201,224,207,186,145,119,120,114,94,117,181,176,139,178,184,126,100,59,131,182,170,170,169,168,185,186,187,181,204,222,209,183,143,125,132,115,99,185,207,192,178,156,174,133,109,69,114,184,171,172,170,169,187,186,189,183,209,222,200,161,142,142,133,103,154,213,209,193,170,162,139,124,106,74,124,184,172,173,171,170,188,188,189,184,213,218,189,159,168,142,117,119,207,215,209,189,160,146,128,103,94,68,158,179,174,173,171,171,189,190,188,194,220,213,185,174,172,137,105,165,219,209,195,176,155,133,119,97,76,80,180,175,176,174,172,171,189,189,199,148,205,216,185,176,177,129,138,192,217,197,181,167,149,126,105,90,54,132,186,176,176,175,174,173,190,197,179,68,100,199,193,180,170,118,150,191,204,183,172,160,137,112,95,71,76,181,179,178,179,177,175,174,195,192,93,72,64,84,161,176,146,114,132,185,187,169,156,145,123,101,83,55,149,189,180,181,181,178,177,175,204,121,65,73,74,62,71,112,115,98,119,155,167,152,140,127,108,89,56,101,192,181,182,182,181,180,178,176,145,75,80,67,62,69,64,58,62,86,110,128,145,132,121,103,90,61,68,183,187,183,183,182,181,180,178,176,77,76,76,64,62,62,61,68,49,53,81,99,115,99,86,79,64,54,162,193,185,187,186,184,182,181,180,178,80,75,64,64,60,61,58,62,60,22,36,48,61,62,49,45,51,154,197,185,188,187,187,185,183,182,181,180,74,68,63,62,57,57,54,55,66,36,17,31,30,31,33,15,99,206,187,189,189,188,188,187,184,182,182,180
7,218,221,223,225,226,227,229,231,232,233,232,232,231,232,231,232,233,235,233,233,233,231,229,229,228,224,221,220,221,222,224,227,229,231,231,234,233,233,235,236,235,235,236,236,236,237,235,236,235,234,233,231,230,228,226,225,221,225,227,229,231,233,235,236,236,237,237,237,238,239,239,239,239,238,237,238,238,236,235,233,232,230,230,227,223,228,230,232,233,235,236,238,239,238,239,240,240,241,240,240,240,241,240,238,240,238,237,236,234,234,232,231,226,231,233,235,236,237,238,240,240,241,241,241,240,243,242,242,242,242,242,241,241,240,239,237,237,237,235,232,228,232,235,237,238,240,241,242,242,243,243,243,243,245,245,245,245,244,244,243,243,242,241,239,239,239,238,234,231,234,237,239,239,242,244,245,246,245,247,246,246,246,248,247,247,246,246,247,246,244,244,242,242,240,241,239,231,234,237,239,241,243,244,245,246,250,247,247,249,248,247,248,249,248,248,249,248,246,247,241,239,242,240,239,233,236,238,240,242,243,245,250,255,255,231,204,223,239,241,238,241,247,244,245,239,243,235,249,255,238,241,238,236,238,239,242,246,254,255,255,255,255,251,200,179,211,225,223,226,218,215,225,222,232,218,243,230,228,247,240,236,241,253,255,255,255,255,254,246,242,237,196,169,186,207,218,218,213,211,207,203,211,198,193,188,231,242,242,255,255,255,255,255,251,244,232,224,234,245,211,169,159,165,181,199,213,205,202,212,211,203,217,215,216,237,226,255,255,255,251,243,237,231,228,232,242,248,217,174,171,171,163,160,150,166,177,178,186,180,184,193,194,193,219,255,255,251,237,226,221,219,222,228,241,227,193,166,164,181,191,181,151,177,247,237,230,226,225,223,225,234,253,255,255,251,235,224,221,222,217,214,228,235,201,155,141,163,177,178,175,156,255,255,255,255,255,255,255,255,252,255,254,251,241,234,228,228,227,223,231,245,213,173,173,178,165,166,142,189,255,255,255,255,255,255,255,254,254,250,246,243,242,240,233,229,225,225,231,235,212,183,190,192,180,175,155,255,255,255,255,255,255,255,255,255,255,232,229,233,239,240,238,229,222,221,220,201,187,169,162,171,177,148,215,255,255,255,255,255,255,255,255,255,255,126,137,172,216,239,232,217,206,194,180,171,159,115,94,118,154,152,255,255,255,255,255,255,255,255,255,255,228,56,54,63,93,148,188,174,182,191,211,240,255,159,110,140,160,225,255,255,255,255,255,255,255,255,255,220,139,57,52,48,43,44,59,203,255,255,255,255,255,252,202,232,255,255,255,255,255,255,255,255,253,208,184,135,111,49,44,41,44,24,90,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,224,155,130,119,107,92,42,39,35,37,18,95,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,176,104,102,122,109,100,93,39,41,38,39,9,86,255,255,255,255,255,255,255,255,255,255,255,255,255,255,206,126,92,71,94,93,86,90,47,52,46,35,0,75,255,247,255,255,255,255,255,255,255,255,255,255,255,174,110,135,92,60,68,87,79,81,61,54,37,12,5,44,155,151,154,157,159,164,168,169,171,175,172,179,177,115,86,127,88,52,57,69,70,72,69,46,17,9,10,65,146,133,134,136,135,136,137,137,137,134,134,155,154,102,77,118,83,50,54,61,64,66,60,25,12,19,12,97,159,147,149,151,150,148,149,147,148,145,150,136,116,97,75,107,74,52,49,56,59,61
0,226,228,229,228,230,231,232,232,233,232,231,230,231,231,231,231,231,230,231,232,231,231,233,232,229,230,230,229,228,230,230,230,230,232,233,233,234,232,232,232,233,233,230,232,235,238,233,235,233,232,234,233,232,233,232,232,230,231,232,232,232,232,233,233,233,234,233,232,232,235,247,225,185,204,240,224,230,239,235,235,234,233,235,235,231,232,232,233,235,234,232,235,235,234,237,235,198,195,255,217,181,152,160,177,168,216,224,180,228,238,236,235,232,233,234,235,236,235,235,236,237,239,255,245,202,157,214,227,201,177,102,166,164,145,208,140,211,245,235,236,234,235,236,236,236,237,235,242,217,205,255,243,214,175,208,250,205,183,122,189,180,140,178,148,201,246,237,238,234,235,237,237,237,236,240,255,216,165,225,255,220,185,194,255,220,188,129,206,182,129,148,154,170,255,236,240,233,235,237,237,240,234,255,255,226,192,194,255,228,184,177,255,224,184,126,208,177,116,132,169,115,238,240,240,235,237,237,238,234,254,249,248,240,209,165,254,236,180,155,255,221,170,103,170,164,107,118,182,99,178,254,239,236,238,238,237,239,255,215,242,252,216,152,225,243,178,129,232,208,154,93,138,147,98,120,188,111,145,255,239,238,238,241,236,252,248,200,217,248,214,148,190,235,170,110,185,193,148,99,118,133,88,142,199,125,150,255,243,237,239,240,238,252,242,208,200,225,195,138,154,212,161,100,146,186,143,96,121,135,102,193,213,137,153,255,244,235,237,237,244,253,228,196,164,207,185,134,127,202,159,89,117,189,138,90,149,140,135,227,209,137,164,255,242,236,237,237,238,255,247,207,151,172,188,122,115,195,165,88,111,198,139,165,221,179,145,214,215,135,178,255,242,237,239,237,241,255,250,213,167,125,164,147,108,199,182,101,123,197,201,221,212,194,158,156,199,126,182,255,241,238,239,237,245,255,255,226,191,147,134,161,131,196,194,175,219,229,224,211,197,175,162,136,141,110,179,255,241,239,239,238,245,255,255,234,204,187,174,168,194,209,222,242,243,239,227,209,190,164,145,138,117,98,176,255,243,239,240,238,245,255,255,245,221,206,194,182,187,214,231,240,239,241,228,202,185,161,137,123,116,93,203,255,246,237,239,238,241,255,255,252,237,224,202,193,189,205,226,238,237,232,221,197,180,156,133,122,100,156,250,250,248,241,244,244,236,255,255,255,248,230,207,194,193,206,231,241,238,223,213,194,175,150,128,101,140,247,246,247,247,198,202,210,199,240,255,255,250,230,212,197,192,207,235,239,231,217,207,190,165,141,115,114,236,255,253,255,255,120,122,129,112,184,255,253,243,233,218,203,187,207,231,226,213,200,189,174,151,131,110,141,201,201,205,203,200,129,129,130,115,148,255,238,232,233,223,208,186,200,226,217,198,177,162,150,139,118,119,121,119,117,112,138,179,127,128,131,123,138,252,225,229,235,224,205,186,195,223,211,186,151,134,128,118,122,131,123,121,156,210,255,253,126,125,127,124,133,248,226,229,236,218,206,193,190,214,203,169,128,116,109,122,131,132,167,218,255,255,248,227,126,125,127,126,128,254,244,231,233,215,201,197,182,196,192,151,116,109,112,119,146,231,255,255,255,255,250,226,125,127,126,125,124,249,253,240,231,212,203,203,177,185,185,142,111,106,110,176,255,255,255,255,255,255,255,252,127,126,126,126,124,236,251,248,231,211,203,203,173,175,180,137,106,92,182,255,255,255,255,255,252,255,255,255
19,135,136,139,139,137,137,137,137,136,136,136,136,135,134,134,134,132,132,131,130,129,128,128,126,126,124,123,122,137,137,138,137,138,138,138,138,137,138,138,136,136,135,134,134,134,133,131,130,130,129,129,127,127,127,123,122,138,138,138,139,141,141,140,143,143,137,139,139,138,136,135,135,135,134,133,131,131,130,130,129,128,126,124,124,138,140,142,142,141,143,133,118,125,145,138,140,139,136,137,136,135,135,134,132,132,131,131,129,127,126,125,124,140,142,142,144,138,160,152,120,80,117,147,139,141,138,139,138,136,136,134,133,133,133,131,130,128,128,127,125,142,142,142,144,140,150,179,148,104,55,132,145,140,140,137,138,137,137,136,135,134,133,133,130,130,130,127,125,144,144,144,145,144,142,175,160,120,50,77,153,141,139,138,139,138,137,136,135,134,134,134,132,131,129,127,127,145,146,145,146,145,139,167,158,110,59,44,143,143,141,141,138,138,139,135,134,135,134,134,133,132,130,128,127,147,146,147,148,144,166,163,137,109,60,39,137,149,147,144,142,140,141,137,136,137,136,134,134,133,132,129,127,147,147,149,143,175,193,161,132,133,122,102,125,128,135,144,146,143,141,140,138,136,136,135,135,134,133,130,129,150,150,145,159,186,149,113,106,127,158,164,148,130,117,109,123,137,142,143,138,137,137,137,136,135,133,130,129,150,150,148,189,181,154,102,61,75,126,160,168,165,156,128,116,108,122,129,139,142,140,138,137,135,134,132,130,152,146,176,195,172,153,133,101,73,85,113,134,148,156,153,152,147,144,118,103,117,133,143,138,135,134,134,131,152,152,186,172,144,131,124,125,131,116,103,97,96,106,124,139,153,165,156,125,105,83,107,136,139,135,133,131,148,173,197,168,124,101,102,90,130,148,134,120,97,64,65,105,109,126,136,137,128,103,91,111,125,137,134,133,154,198,202,166,136,119,115,111,106,127,147,142,122,86,68,110,146,130,120,111,111,114,121,111,94,142,134,134,172,201,185,157,137,135,139,141,134,91,84,121,121,107,94,70,144,153,149,144,133,122,112,107,125,140,135,135,189,194,171,140,115,128,159,152,156,105,65,93,78,95,99,83,145,149,149,148,149,148,142,141,141,136,137,135,189,194,168,126,100,75,117,151,170,136,113,92,80,65,67,127,153,149,149,147,145,143,143,142,139,137,136,134,199,201,156,127,116,111,100,104,91,144,150,106,100,71,120,156,149,150,149,148,146,144,143,142,141,139,137,134,202,186,153,133,126,125,124,110,93,116,127,121,84,102,158,150,150,151,150,148,146,144,144,143,143,141,139,136,192,177,159,141,137,134,122,106,95,93,83,71,111,152,155,153,153,150,150,149,147,146,145,144,142,141,139,137,189,168,150,136,129,136,127,111,94,100,80,106,161,156,155,153,153,151,150,149,147,147,146,146,144,142,140,136,182,166,146,111,90,92,98,99,96,91,103,156,157,156,156,154,151,151,149,149,149,147,146,145,143,142,140,139,167,148,119,82,61,44,97,123,112,133,159,162,162,161,160,158,155,155,155,155,154,150,145,142,145,150,149,140,145,115,83,73,60,51,128,144,139,139,134,134,133,132,131,131,131,131,133,125,119,131,148,157,155,141,135,127,109,87,73,70,64,61,61,59,56,54,54,55,54,52,51,52,53,51,45,66,112,147,150,139,132,139,143,106,84,73,69,66,68,65,62,61,58,56,57,57,55,54,53,53,52,48,102,161,153,141,130,134,118,141,170,114
17,141,142,143,146,149,150,151,153,154,154,155,156,158,158,160,161,161,161,162,162,163,163,163,163,162,163,163,163,142,143,145,148,149,150,152,154,154,155,157,158,159,160,160,162,162,162,162,163,164,164,165,165,165,166,166,165,143,144,147,150,152,152,153,155,156,156,158,159,160,161,162,162,163,164,164,164,165,165,165,166,166,167,167,167,145,146,149,150,152,153,154,155,156,158,159,159,161,162,163,163,165,166,166,166,168,166,166,168,166,167,168,168,144,146,149,151,152,154,155,156,158,159,160,161,162,163,164,165,166,166,163,169,166,167,168,168,168,168,168,168,144,147,149,150,154,155,155,157,159,159,161,162,163,163,165,166,165,169,150,130,132,126,172,168,169,169,169,169,146,147,149,151,153,155,157,158,159,161,162,163,163,164,166,167,165,175,171,115,89,107,172,169,170,170,170,170,147,148,151,153,154,156,157,159,161,164,164,164,166,167,166,167,167,175,178,133,83,114,179,169,171,170,170,170,148,149,151,154,155,156,158,160,162,162,163,165,166,164,170,169,169,172,184,151,92,131,180,170,171,170,170,172,148,149,152,155,156,157,160,161,161,163,164,163,168,152,137,173,169,173,184,150,106,156,177,173,173,171,171,172,148,150,153,155,156,158,160,161,162,163,164,166,173,161,121,129,172,184,180,144,109,165,176,174,173,173,173,172,148,151,153,155,157,159,161,161,162,167,157,139,169,175,162,146,126,153,174,146,107,164,178,174,174,174,173,173,149,151,154,156,158,160,162,161,166,187,156,114,150,173,186,175,132,94,141,139,109,163,179,175,174,174,174,174,149,152,155,157,159,161,163,161,174,162,166,141,140,128,161,188,159,103,107,125,104,161,179,175,174,174,175,175,150,153,156,157,159,160,163,161,182,153,128,132,105,76,112,201,174,123,92,106,95,161,180,176,175,175,175,175,151,153,155,157,159,161,164,165,179,144,116,131,111,100,112,198,186,142,94,97,90,158,181,176,176,176,175,176,151,153,155,158,160,162,162,170,183,160,146,137,119,138,126,188,190,151,105,94,91,153,182,176,177,177,176,176,151,153,156,159,160,163,161,179,176,144,138,133,129,146,168,188,174,157,114,89,88,155,182,176,178,178,177,177,152,154,156,158,162,164,163,185,165,141,133,134,141,158,207,187,158,148,112,85,82,157,184,178,178,178,178,178,154,155,156,159,162,164,163,191,168,148,135,135,143,192,200,183,156,138,108,85,83,165,182,179,178,178,178,178,153,155,157,160,161,163,167,194,170,157,137,136,165,205,188,178,148,132,103,82,98,182,178,179,178,178,178,178,152,154,158,161,163,161,172,195,171,163,149,137,182,202,184,176,141,122,100,77,131,187,177,179,178,178,177,177,153,155,158,161,165,162,177,201,174,171,163,145,185,192,177,171,144,112,95,85,168,182,179,180,180,180,179,179,153,156,160,162,164,163,174,204,180,175,169,153,173,187,175,165,139,110,84,117,188,178,179,180,181,181,179,179,153,156,160,163,165,165,170,201,187,171,163,161,164,178,170,172,135,105,81,145,187,177,179,180,180,179,179,180,154,156,160,163,164,167,166,197,183,171,158,160,167,168,169,173,136,104,85,161,185,180,181,181,181,180,180,181,154,156,159,161,164,165,169,196,181,172,158,158,167,166,169,165,128,101,103,181,182,181,182,182,181,181,181,180,154,155,157,161,165,164,172,198,190,173,163,166,172,160,165,154,119,91,139,189,180,181,181,181,181,182,182,180
5,190,190,190,191,192,192,191,191,190,189,190,190,189,188,187,186,185,183,182,181,180,179,178,177,175,175,174,174,195,194,194,194,195,194,194,194,195,193,192,191,191,190,190,189,188,186,184,183,183,182,180,178,176,176,176,175,198,198,199,198,197,198,198,198,198,198,196,195,194,195,190,192,189,185,189,185,184,184,183,181,180,178,176,174,201,201,201,200,199,203,202,201,200,200,199,198,197,192,194,211,153,163,197,188,187,186,184,183,182,180,179,176,203,204,205,204,207,194,201,206,203,203,202,199,203,196,180,144,119,183,195,190,191,190,188,185,184,182,181,179,207,208,210,206,228,164,168,217,207,206,203,214,205,152,129,153,189,199,195,194,193,192,190,188,187,185,183,181,212,211,213,210,224,142,167,221,210,203,211,207,147,137,204,213,208,203,199,199,201,196,193,192,190,188,185,184,215,214,214,216,209,137,191,222,207,190,182,140,143,188,160,161,161,162,161,157,180,194,197,195,193,190,189,188,218,218,218,219,193,141,211,223,207,167,131,137,210,136,121,133,153,166,168,165,162,182,157,191,197,193,192,191,221,221,221,221,206,141,193,228,200,157,130,152,166,126,132,125,133,133,123,135,142,141,145,199,197,195,193,192,223,224,223,224,212,143,179,235,191,154,133,129,140,140,115,99,96,94,98,104,107,110,176,204,202,198,196,195,225,226,226,225,205,156,139,223,191,144,113,113,126,121,99,103,114,110,125,126,149,166,156,143,196,204,197,197,227,229,229,231,195,169,162,161,163,146,127,112,106,89,99,123,103,132,169,173,192,171,161,154,152,199,202,199,230,230,231,233,228,186,185,171,144,150,135,110,109,99,102,101,139,220,225,222,217,193,197,191,149,202,204,201,232,232,232,232,236,222,186,201,194,162,123,104,98,109,96,160,227,222,217,219,191,189,197,147,178,213,203,203,234,234,234,235,234,239,215,206,207,178,140,99,100,93,125,241,227,221,226,203,169,195,164,142,214,210,208,205,235,235,236,237,237,238,234,203,213,189,150,102,101,96,135,208,219,235,215,186,179,175,114,186,221,211,210,208,236,237,237,237,239,239,238,211,218,197,158,113,101,119,117,132,155,184,176,180,176,123,156,223,215,214,212,210,237,238,238,238,239,239,240,207,222,206,162,122,102,119,121,135,158,141,154,176,132,154,229,218,216,215,213,211,238,239,240,240,240,240,242,207,225,206,163,137,106,112,122,134,155,157,137,131,141,228,223,220,218,217,214,212,242,240,242,243,242,242,242,209,228,205,169,150,112,108,125,140,151,145,114,111,219,229,224,223,220,218,216,214,243,243,244,244,243,244,241,212,223,203,175,150,116,103,127,138,142,123,104,208,235,227,226,225,223,220,218,216,244,244,245,245,244,245,243,213,212,196,173,151,118,101,124,127,127,92,164,245,227,230,227,226,225,222,219,217,245,245,245,245,246,247,244,212,208,196,170,151,117,104,118,125,107,109,231,235,233,231,229,228,227,223,220,219,246,246,246,246,246,249,240,214,211,193,170,148,116,105,114,107,93,202,243,234,234,232,231,230,227,224,222,220,247,247,248,247,249,251,236,221,214,197,177,140,110,103,94,96,198,248,236,237,235,233,231,230,227,225,224,221,246,246,247,248,249,248,231,220,211,200,171,128,106,93,129,224,248,240,239,237,237,235,232,231,229,226,224,223,245,246,246,247,247,242,220,203,207,192,157,117,103,103,231,250,237,241,239,236,235,234,231,230,229,226,225,223
12,170,170,170,170,170,171,171,170,170,168,166,166,166,165,165,164,163,163,162,160,159,157,156,156,156,155,153,152,173,173,172,172,172,172,173,172,172,170,169,169,168,167,167,166,165,164,164,163,163,161,159,158,157,157,156,154,175,175,174,174,175,175,175,175,175,173,172,172,170,170,169,168,168,167,167,166,165,163,163,161,159,158,157,157,178,178,177,177,178,178,177,178,178,177,175,175,173,172,170,171,171,170,169,169,167,165,165,163,162,160,159,158,180,179,179,179,179,180,179,180,179,179,178,178,175,163,139,144,171,171,160,149,154,169,167,165,165,164,162,161,183,182,180,181,183,182,182,181,181,180,180,180,179,165,139,105,145,165,150,122,101,147,172,168,168,166,165,164,185,185,183,183,185,185,184,182,183,182,181,181,188,181,153,121,100,136,161,131,93,103,164,158,164,168,167,165,186,186,185,185,186,186,186,185,185,185,183,186,190,191,168,138,96,96,164,141,105,78,104,119,114,152,170,168,187,187,187,187,187,187,188,188,187,186,186,187,176,184,174,140,109,78,151,145,116,70,66,106,89,102,171,171,189,189,189,188,188,188,189,190,187,177,168,177,171,174,168,134,98,64,139,143,116,67,58,98,80,66,162,173,190,190,190,189,189,190,190,188,185,161,132,137,158,156,161,124,86,67,148,137,108,62,56,92,75,60,160,175,192,191,191,191,193,193,190,184,186,168,148,128,127,118,160,133,96,79,154,130,101,59,69,100,78,75,172,176,193,192,193,193,195,195,191,187,185,181,168,150,110,89,161,159,111,89,156,133,96,65,99,110,74,108,180,178,195,195,195,195,196,194,194,181,161,175,177,160,127,96,154,156,109,96,170,150,100,91,124,106,69,143,181,179,197,197,197,196,197,194,196,180,137,139,170,163,132,89,109,128,89,107,177,146,96,119,146,111,78,165,182,180,198,198,199,199,198,196,200,194,157,101,120,151,114,74,56,66,49,77,145,126,90,146,158,110,112,181,182,182,199,199,201,201,199,198,192,175,143,101,80,132,99,74,57,58,50,74,105,86,91,177,154,97,114,187,184,184,200,200,201,202,200,195,196,185,162,127,84,107,108,91,75,75,82,130,154,138,136,146,115,70,77,184,186,184,202,201,202,202,201,193,202,195,171,130,95,94,116,109,86,92,142,168,172,155,156,133,78,54,79,184,187,186,203,203,203,203,202,192,202,202,177,141,118,102,112,118,111,150,190,189,181,152,146,133,88,57,114,191,187,187,203,203,203,204,203,193,200,202,181,154,129,114,115,137,173,194,203,196,180,148,134,120,82,60,158,192,188,186,205,204,205,205,204,195,194,197,181,158,132,120,121,154,197,202,200,189,167,139,122,104,73,76,184,192,190,187,206,207,207,207,206,195,189,191,182,159,133,127,126,167,202,200,194,177,154,133,113,92,62,115,195,193,191,190,208,208,208,207,208,196,187,190,181,159,136,132,130,178,199,198,186,163,144,128,104,78,69,171,196,194,192,192,209,209,208,208,209,200,187,188,185,167,143,131,131,182,193,192,177,153,134,116,94,62,106,196,196,195,194,193,209,209,209,209,210,205,189,187,185,175,150,129,129,175,184,180,163,142,121,101,80,60,160,199,198,196,195,194,210,210,209,209,211,208,189,187,184,170,145,129,126,160,173,164,147,124,104,84,59,95,195,199,200,198,196,196,210,209,210,211,211,208,190,186,180,164,140,129,128,150,162,153,135,113,90,70,57,161,202,200,200,198,197,197
5,189,189,189,189,191,191,190,190,189,188,188,189,188,186,184,184,182,180,178,177,176,175,174,171,170,170,168,168,195,194,194,194,195,195,193,194,195,192,191,191,190,189,188,187,186,184,182,179,180,179,176,173,171,171,171,170,199,199,200,199,198,199,199,199,199,199,196,195,195,195,189,191,188,183,187,183,181,181,180,177,175,174,171,169,202,203,203,202,201,205,205,203,201,202,201,200,197,192,194,216,141,154,197,186,185,183,181,180,178,175,174,171,206,207,208,207,211,193,203,210,205,206,204,200,205,196,176,130,98,180,195,189,190,189,186,183,181,179,177,174,210,212,215,209,238,155,161,223,210,209,206,220,209,140,110,142,188,200,196,194,192,192,189,187,185,183,180,177,217,216,218,215,233,127,159,228,215,206,216,211,133,120,206,219,212,206,200,201,203,197,192,191,189,186,182,181,221,220,220,222,214,121,191,229,210,189,179,125,128,187,150,151,151,152,151,147,175,194,198,196,193,189,188,186,225,224,225,226,193,126,216,231,210,160,113,121,215,120,100,115,141,157,160,157,153,178,147,191,198,193,191,190,228,228,229,229,210,126,193,238,202,147,112,140,158,106,114,105,115,116,103,117,127,126,131,200,198,196,193,191,232,232,232,233,216,128,175,246,189,143,115,111,124,125,92,72,67,65,70,79,83,86,171,207,204,199,196,195,234,235,236,234,207,144,123,231,189,129,90,90,107,99,71,77,91,86,106,107,136,158,145,128,196,207,198,197,237,239,239,242,196,162,152,152,154,132,107,88,81,59,71,102,76,114,161,167,191,164,152,142,140,201,204,200,241,240,242,244,238,184,182,164,129,137,119,86,84,71,75,75,123,227,234,230,223,192,198,189,136,204,207,203,243,242,243,243,248,230,184,203,194,153,102,77,70,85,68,151,237,230,223,226,191,187,197,134,174,218,205,206,245,245,246,247,245,252,220,209,210,173,125,71,73,64,105,254,236,228,235,206,161,195,155,127,220,214,211,208,247,247,248,249,249,250,245,206,219,187,137,76,74,68,119,212,226,246,221,183,175,169,91,184,229,215,215,212,248,249,249,250,251,252,250,216,225,198,148,89,74,97,95,114,144,181,170,176,170,102,145,232,221,220,217,214,250,251,251,251,252,252,253,211,231,210,153,102,76,97,100,118,147,126,143,171,114,142,239,225,223,221,219,215,250,252,253,253,253,253,255,211,234,209,154,121,81,89,101,117,143,147,120,113,125,237,232,228,225,223,220,217,255,254,255,255,255,255,255,213,238,209,161,137,89,83,105,124,139,131,91,87,226,239,232,231,227,225,223,220,255,255,255,255,255,255,255,217,231,205,169,138,93,77,107,122,127,102,79,212,247,236,235,233,231,227,224,222,255,255,255,255,255,255,255,218,217,196,166,139,95,74,104,107,108,63,156,255,237,240,237,236,234,230,227,223,255,255,255,255,255,255,255,217,212,196,163,139,95,78,97,105,83,85,242,247,244,241,239,238,236,231,227,226,255,255,255,255,255,255,253,220,216,193,163,135,94,79,91,82,64,204,255,245,246,243,241,240,236,232,230,227,255,255,255,255,255,255,247,228,220,198,171,125,86,77,65,68,199,255,248,249,247,244,242,240,237,234,232,228,255,255,255,255,255,255,242,228,216,202,164,109,80,63,110,233,255,253,251,250,249,246,243,241,239,235,233,231,255,255,255,255,255,255,228,206,211,191,146,95,77,77,242,255,249,254,251,248,247,245,242,240,239,236,233,232
2,143,144,145,144,145,146,146,146,145,144,145,145,144,144,144,143,142,141,139,138,138,138,136,135,133,132,131,130,144,145,146,146,146,147,147,147,148,147,147,145,145,147,147,146,146,146,145,142,138,139,136,135,134,132,131,130,145,146,147,148,149,149,149,149,149,148,148,148,146,135,135,137,132,127,122,128,143,138,136,136,136,134,133,132,148,148,149,150,150,150,150,150,150,150,150,147,130,119,121,123,119,101,85,75,112,143,143,137,137,136,135,134,149,149,150,150,151,151,151,151,151,151,150,137,126,125,117,112,122,95,75,93,99,101,121,140,139,137,136,135,150,151,151,152,152,153,153,152,153,154,152,144,135,120,104,91,81,54,49,71,81,61,54,128,144,138,137,135,151,152,153,153,153,154,155,155,155,149,140,137,125,90,64,54,64,78,119,115,87,64,89,140,141,140,138,136,151,152,154,155,155,156,156,157,157,145,134,121,91,53,37,45,142,157,153,154,150,143,149,144,141,141,139,137,152,152,155,155,156,158,157,158,156,146,125,84,52,44,37,79,161,149,150,149,148,147,145,144,142,142,140,139,154,155,156,156,157,158,158,159,155,147,119,59,38,37,40,131,158,152,151,151,150,147,146,147,145,143,141,139,155,156,157,157,158,158,160,158,155,145,113,59,39,33,67,162,154,155,153,152,150,150,149,139,134,144,142,139,155,156,158,159,160,160,161,156,152,142,99,47,49,43,75,162,154,156,154,152,151,152,117,87,77,116,147,140,157,157,157,159,161,161,162,156,153,136,90,57,57,42,85,165,155,157,155,153,155,121,88,88,71,103,150,141,157,158,158,160,161,163,162,154,154,136,95,70,55,37,106,168,154,157,155,158,129,88,94,85,70,134,146,142,157,159,161,162,162,163,160,154,153,134,95,72,53,41,74,166,161,155,162,138,79,78,87,66,101,153,144,143,158,161,162,162,163,164,160,154,150,128,99,74,50,50,47,80,136,167,142,94,72,72,71,64,147,148,145,144,159,160,161,162,162,164,160,153,149,128,97,68,51,50,55,53,65,109,80,75,85,69,52,121,155,147,148,145,159,161,162,163,163,164,157,153,158,128,93,73,51,50,55,61,66,61,62,73,70,62,128,158,149,150,148,146,159,161,162,164,164,166,153,159,158,123,91,73,53,51,57,59,67,71,63,68,61,134,160,151,151,150,148,146,160,161,162,164,166,165,152,163,150,115,88,74,54,51,58,61,66,71,64,46,123,164,151,152,152,151,149,146,161,162,163,164,168,163,154,161,143,110,90,77,54,51,61,65,67,68,52,103,163,155,154,152,151,151,149,147,161,162,164,165,167,161,154,156,132,108,93,74,54,52,65,67,69,53,71,166,157,156,155,154,153,151,150,149,163,163,165,166,168,160,151,144,124,104,87,70,53,52,65,63,61,43,137,165,157,158,157,155,153,152,150,149,162,163,165,165,167,159,149,139,122,100,86,69,52,52,63,62,39,109,170,159,159,159,157,156,155,152,150,149,162,163,165,166,166,158,142,132,114,94,80,66,53,54,53,39,100,171,161,162,160,160,157,156,155,153,150,150,162,164,164,166,164,157,138,130,111,92,75,62,51,42,50,119,171,163,163,161,161,160,158,156,154,153,151,150,162,164,165,164,164,153,136,125,112,91,70,56,37,83,161,174,165,165,163,162,161,159,158,157,155,153,152,150,163,164,166,164,157,135,124,123,108,83,60,45,52,163,173,165,166,164,164,163,162,161,160,157,155,154,152,150
15,162,142,144,129,97,161,81,42,89,88,89,92,96,98,108,119,130,139,142,145,151,157,160,163,165,168,171,173,162,143,150,123,106,164,69,49,91,89,91,93,96,98,108,121,132,140,143,147,153,158,162,165,168,170,172,175,162,147,156,116,118,164,58,58,93,89,92,95,97,98,110,123,134,142,146,149,155,161,165,167,170,173,175,178,161,149,159,111,131,159,50,67,94,89,92,95,96,100,112,125,136,144,147,151,157,163,167,170,173,176,178,180,160,150,160,103,145,150,36,72,91,88,92,96,101,102,116,130,140,147,149,152,160,166,169,173,175,179,181,183,157,159,156,116,144,139,94,110,111,116,124,125,123,107,107,118,131,145,151,156,162,168,178,180,178,181,184,186,154,170,144,127,128,126,128,117,111,117,114,110,104,111,110,108,111,115,124,133,132,127,138,164,188,187,185,189,158,154,123,119,119,116,110,105,106,108,107,105,106,117,120,118,115,113,112,123,129,118,108,97,129,180,197,192,161,160,135,108,113,103,106,102,107,110,110,109,113,122,122,120,115,110,115,125,125,123,118,105,90,97,154,198,162,167,140,111,174,87,62,97,96,99,101,104,112,121,123,118,111,112,122,124,118,121,117,110,107,96,87,115,164,171,129,123,185,70,49,97,90,92,93,96,97,111,126,148,132,122,121,122,123,122,118,113,112,114,103,86,168,176,121,136,179,59,61,97,91,92,94,97,98,108,135,174,158,135,126,121,114,118,114,116,115,126,111,98,169,177,114,148,173,49,68,98,91,92,94,97,99,109,166,159,141,108,104,113,95,97,114,117,123,135,117,107,169,176,111,160,163,42,75,97,91,92,95,98,93,136,173,139,129,100,69,79,65,70,141,132,136,130,115,113,171,173,106,170,151,38,82,97,91,93,96,95,107,180,155,127,113,95,64,58,47,75,159,150,144,120,108,114,172,169,106,180,140,34,88,97,92,92,95,89,137,192,155,122,106,74,56,59,43,97,161,162,153,123,104,109,176,165,108,187,126,35,93,96,92,93,96,91,119,182,169,135,110,67,51,57,60,105,155,170,158,127,105,102,183,159,113,196,114,36,97,95,92,93,95,97,96,166,185,159,119,79,46,82,92,94,149,164,144,122,105,91,188,154,119,204,103,40,100,94,91,91,94,97,97,136,198,175,132,87,58,63,110,142,153,140,118,114,101,84,192,145,128,205,90,45,101,93,90,90,92,94,101,117,188,186,162,149,143,143,156,140,125,109,99,102,98,87,194,137,140,204,76,51,101,91,90,89,92,92,102,115,161,193,166,153,150,156,153,117,95,97,93,94,99,102,196,129,152,198,64,58,100,90,89,88,91,93,100,122,180,156,132,130,137,157,152,106,89,90,86,96,99,94,194,123,166,191,56,65,100,89,88,88,91,94,95,148,183,137,131,133,131,149,147,113,89,99,169,120,74,70,191,118,178,181,39,64,93,82,81,81,85,88,91,146,168,132,121,120,117,135,135,115,81,170,229,127,75,74,187,116,186,171,93,109,119,109,104,101,98,99,107,130,148,142,152,150,111,96,131,110,92,163,230,133,80,76,181,120,189,174,148,120,130,130,128,126,127,130,128,126,127,136,141,179,153,94,136,135,117,153,179,123,87,79,176,122,193,173,134,107,121,118,119,120,122,121,123,122,120,124,119,143,179,125,114,128,127,124,127,108,85,84,169,126,197,169,135,115,123,124,125,125,125,125,127,128,129,130,129,127,144,137,129,132,133,133,137,112,73,59
4,154,158,163,165,168,170,172,174,176,177,176,179,180,182,183,182,181,181,182,181,180,181,179,179,179,178,178,178,155,159,164,167,168,169,171,174,176,178,178,180,181,181,182,184,185,180,185,185,182,181,180,180,180,180,180,179,156,161,164,167,169,170,173,175,176,179,179,181,180,191,189,166,171,196,175,171,186,184,182,183,182,181,179,179,158,163,165,168,171,173,174,177,178,176,186,178,184,220,185,163,149,212,173,140,159,188,185,185,183,183,180,180,159,163,165,169,171,174,176,178,175,199,226,194,167,222,194,160,172,217,177,134,126,185,152,181,186,183,182,181,161,164,167,171,172,175,177,179,175,224,242,221,146,185,213,148,184,223,175,124,181,176,119,128,189,181,181,182,161,166,170,171,175,177,178,177,189,228,229,208,137,171,214,145,185,210,161,171,198,143,117,91,170,188,182,183,163,167,171,172,176,177,180,173,211,213,211,197,124,152,189,190,187,195,218,233,181,115,100,90,168,189,184,184,163,167,171,174,177,179,181,175,224,206,195,198,123,125,176,186,209,221,231,215,189,139,93,87,179,188,185,186,163,167,172,175,177,181,178,193,235,204,173,194,128,104,172,121,155,193,199,185,198,158,103,95,188,188,187,186,163,168,171,175,177,182,176,218,222,179,164,147,104,109,176,102,136,181,153,186,208,171,113,121,195,188,188,187,165,169,172,177,178,180,181,235,210,166,148,143,118,122,140,109,130,176,94,193,227,188,130,122,198,188,189,188,167,170,173,177,179,179,188,246,211,166,140,127,114,125,120,131,137,155,137,191,237,202,149,99,177,194,189,190,167,171,175,177,182,178,199,252,210,167,137,122,117,129,129,168,166,190,217,201,215,196,153,105,139,200,189,191,167,171,175,178,183,178,212,253,210,160,138,135,125,119,132,174,189,219,210,211,181,169,162,118,132,201,190,192,167,172,176,179,183,177,222,250,209,158,157,155,128,125,168,211,223,217,209,195,164,139,150,111,157,200,193,192,166,170,174,177,182,177,227,247,207,177,188,163,146,193,228,238,222,216,202,175,148,126,116,113,189,193,192,192,166,170,174,177,182,179,232,246,221,208,204,166,172,231,235,244,225,201,186,161,141,121,98,154,201,191,192,193,167,171,175,178,183,179,230,249,235,213,202,182,176,235,238,239,217,179,170,152,137,109,115,195,194,194,194,194,167,171,175,179,184,179,223,251,238,216,197,185,187,239,235,221,200,168,153,144,127,98,163,202,195,194,194,194,168,174,176,180,184,178,212,250,228,215,198,187,193,223,217,197,178,157,151,139,104,120,200,197,198,195,195,194,169,173,176,179,184,179,210,240,213,208,206,191,190,204,202,184,161,150,149,125,97,175,202,195,196,196,194,193,168,170,176,178,184,180,206,229,201,206,208,187,181,203,199,180,151,138,138,105,142,204,196,196,194,195,194,192,168,174,179,181,186,183,201,225,202,205,199,183,171,201,201,165,133,128,120,125,199,202,201,201,200,199,199,198,141,143,144,144,147,142,167,236,213,211,195,187,166,191,193,148,124,122,108,126,149,143,143,143,141,141,141,144,105,103,102,102,105,97,126,245,228,218,203,196,168,181,192,146,120,111,107,98,96,95,95,94,93,94,93,88,113,113,112,114,116,113,121,237,236,215,203,200,166,164,196,152,116,105,103,106,107,106,105,104,104,103,100,168,113,114,113,114,115,114,110,224,235,210,194,196,169,153,189,149,113,103,101,106,108,107,104,104,107,94,173,233
13,136,138,142,150,157,161,164,166,169,172,177,179,180,183,186,187,188,189,189,190,191,190,190,190,190,191,190,189,138,140,145,152,158,162,165,167,170,174,178,180,182,185,187,188,189,190,191,192,192,192,192,191,193,194,193,191,140,143,147,154,161,164,167,169,173,176,179,182,185,187,189,189,190,191,192,193,193,193,194,194,195,195,194,193,142,144,150,156,163,166,169,172,175,178,180,183,186,189,191,191,193,187,187,196,198,196,196,196,197,196,195,195,144,146,151,158,164,168,171,175,178,180,183,185,188,190,197,215,213,174,139,164,180,191,199,198,198,198,197,197,145,148,154,160,166,170,173,177,180,183,186,188,191,187,188,206,216,171,116,95,132,140,171,200,199,200,199,199,145,150,155,161,167,172,175,178,181,185,188,195,202,165,145,156,200,176,120,87,136,121,111,195,202,201,200,200,146,150,157,162,169,173,175,180,183,187,180,207,224,193,152,116,163,198,145,93,142,118,104,195,203,202,201,201,147,151,159,164,170,174,177,181,188,198,156,145,208,219,177,117,102,186,149,95,151,130,117,200,204,204,203,202,150,153,159,165,171,175,178,184,210,215,169,121,140,222,196,132,70,108,123,87,170,138,146,206,205,205,204,203,151,155,161,168,172,176,181,206,209,216,195,142,90,191,186,127,66,49,74,84,149,121,161,209,206,206,205,205,152,156,164,170,174,178,196,210,174,194,201,150,81,150,174,119,64,44,86,122,137,116,123,201,209,208,207,207,154,158,167,172,176,182,217,210,173,172,180,131,78,120,171,134,67,81,145,156,133,111,106,166,212,209,209,208,158,162,169,175,178,193,214,189,154,150,161,112,64,91,178,146,82,150,183,164,128,101,104,124,209,210,210,210,159,164,172,178,181,205,223,195,159,132,141,108,55,62,166,142,130,195,186,158,126,101,93,119,209,212,211,211,160,166,175,182,184,210,229,202,170,124,116,102,66,101,180,185,198,196,173,142,119,96,81,158,215,214,214,213,161,169,178,185,187,217,236,212,178,136,114,115,140,182,212,217,211,186,159,131,110,87,95,198,215,215,214,214,164,172,181,187,190,223,239,221,182,157,158,154,172,196,214,212,201,176,148,126,100,75,128,216,215,216,216,216,168,176,185,190,194,224,233,229,194,176,174,156,186,200,209,208,188,162,138,116,91,72,167,220,218,217,217,217,172,181,189,195,197,215,228,232,207,189,178,164,191,209,201,193,170,146,125,105,80,104,211,221,220,219,219,219,175,183,192,198,201,206,228,228,215,195,179,169,184,204,195,173,154,133,118,96,93,187,225,223,222,221,221,221,178,186,194,199,204,203,220,222,216,203,191,178,176,195,189,163,141,122,109,91,168,226,226,225,224,224,223,222,180,188,196,201,206,206,212,225,219,212,205,186,174,186,180,152,122,113,95,139,223,228,228,228,226,225,226,222,182,191,200,205,209,208,205,224,212,206,200,181,168,174,164,140,110,103,107,205,231,229,230,230,229,224,189,141,184,194,202,208,211,211,208,219,191,188,193,183,168,166,153,135,111,92,157,231,233,232,232,233,224,155,80,50,186,195,203,208,212,213,209,225,197,198,204,194,171,157,147,134,112,90,192,232,235,235,235,222,147,71,57,34,187,196,203,208,212,214,207,229,209,210,215,197,176,153,146,133,111,93,208,234,236,231,182,113,61,56,64,37,188,197,204,209,213,216,208,228,225,226,223,199,179,155,145,133,107,95,212,234,238,187,89,55,37,48,64,51
21,77,86,99,113,122,129,134,138,142,145,144,150,154,156,158,160,161,164,165,166,166,167,167,168,168,168,168,168,79,88,102,115,124,131,136,138,144,164,118,124,155,157,160,162,164,165,166,168,169,169,169,170,169,169,170,169,80,87,104,117,126,132,137,141,148,174,112,105,158,159,162,164,165,167,167,169,170,171,171,171,172,171,171,171,82,89,105,118,127,133,138,143,149,175,119,98,158,160,163,166,168,168,168,170,171,172,173,173,173,173,173,172,84,91,107,120,128,135,140,144,148,171,122,94,158,162,165,166,169,171,171,167,143,166,175,175,175,175,174,175,85,94,109,121,131,137,140,146,149,173,131,96,155,164,166,169,171,171,173,148,105,147,177,177,177,177,177,177,86,95,112,122,132,138,143,147,150,173,135,97,148,165,169,171,173,175,169,135,101,168,179,178,178,179,179,178,88,97,113,124,133,140,145,149,149,174,136,101,134,167,170,172,174,179,156,120,122,180,180,180,180,180,180,179,88,98,114,125,133,140,146,149,150,183,143,105,126,168,171,172,177,174,143,107,161,182,182,182,181,181,181,180,89,99,117,127,133,140,145,150,151,190,150,115,125,169,171,174,175,156,125,119,180,182,184,183,183,182,182,182,90,102,118,127,135,141,146,151,150,177,139,111,118,171,172,178,174,147,104,153,183,183,184,185,185,184,184,183,91,103,118,128,136,143,151,165,138,152,117,101,113,172,171,175,169,132,114,180,184,184,185,185,185,185,185,185,92,105,120,130,136,142,171,189,141,115,92,88,107,159,163,167,152,106,153,185,186,186,186,186,186,186,186,186,94,107,121,130,138,144,166,172,131,92,77,84,114,150,156,149,120,108,180,185,185,187,187,187,187,188,187,186,94,108,122,131,138,165,181,146,124,96,70,75,101,132,138,122,95,148,185,186,187,187,188,188,188,188,188,187,95,110,122,132,142,198,178,167,140,125,81,69,92,110,120,108,102,178,186,187,188,189,189,189,189,188,188,188,96,111,124,133,159,175,177,189,175,141,94,74,84,95,104,92,135,184,186,188,188,189,189,189,189,189,189,189,98,114,125,132,174,156,168,182,178,127,88,77,76,88,89,81,162,186,188,189,189,190,189,189,190,190,189,189,98,114,124,134,184,151,139,120,143,117,94,82,77,76,80,81,167,187,188,190,191,191,192,192,191,191,190,189,99,116,126,140,177,136,122,119,131,127,103,84,77,77,76,79,164,188,189,191,191,192,193,193,193,192,191,191,101,116,126,149,183,155,144,127,127,156,114,93,84,78,74,80,168,189,191,192,192,192,193,193,193,193,192,192,103,117,126,154,181,168,145,131,181,189,129,111,94,76,74,81,174,189,191,192,193,193,193,194,194,193,193,193,104,117,126,155,189,170,139,142,205,178,134,113,98,76,74,92,182,189,191,193,193,193,194,194,194,194,194,193,105,118,127,151,184,152,145,148,191,156,126,107,97,80,74,110,187,190,191,193,194,194,194,195,195,195,195,194,106,119,129,144,174,147,155,144,180,150,132,104,92,79,73,128,188,190,192,193,194,195,195,196,196,196,195,195,107,118,128,139,162,161,168,144,178,149,131,116,87,76,74,142,189,190,193,194,195,196,196,196,196,196,196,195,106,116,126,136,159,175,158,141,175,141,118,106,83,74,76,160,187,189,192,194,193,194,195,195,196,196,196,195,105,115,126,135,152,173,157,133,155,127,102,88,77,71,79,169,186,188,190,191,192,193,194,195,195,195,195,195
1,65,67,72,77,89,106,119,126,130,136,142,146,151,155,157,160,163,165,166,167,168,170,171,171,172,173,173,173,66,68,73,79,92,108,121,128,133,139,144,149,156,162,149,157,163,165,166,167,168,170,171,171,171,172,172,172,67,70,74,81,94,111,125,132,137,143,149,152,165,173,131,137,152,162,168,169,170,170,171,171,171,172,172,172,68,71,76,82,97,115,128,135,141,148,159,156,161,177,123,120,131,146,171,173,173,173,173,173,173,173,173,172,69,72,77,84,100,118,131,138,145,154,177,161,145,171,121,119,129,127,169,178,178,178,178,177,176,176,175,174,70,74,78,85,102,121,135,142,149,159,184,164,135,162,121,119,132,116,164,183,183,183,183,182,181,180,179,179,72,75,79,88,106,124,137,144,153,162,187,165,126,155,127,122,138,116,159,188,189,188,188,187,186,185,184,183,72,76,81,91,110,128,140,147,159,167,181,164,118,139,125,123,146,120,156,192,194,194,194,192,191,189,188,187,73,76,81,93,114,132,143,151,170,169,168,160,113,128,121,118,147,123,155,197,199,199,199,197,196,194,193,193,74,78,83,96,117,135,146,155,183,166,158,159,115,133,127,119,159,135,156,200,203,203,203,202,201,200,199,198,75,79,84,98,120,138,149,160,188,156,151,164,119,129,126,121,167,145,154,203,208,207,207,206,205,205,204,202,77,80,85,100,123,141,152,166,190,149,139,161,114,110,117,123,165,144,149,204,211,211,210,210,209,208,207,206,79,82,87,103,126,144,155,171,195,149,123,156,124,114,122,138,155,131,142,205,215,215,214,214,213,212,211,210,79,82,88,106,130,148,158,175,200,152,117,164,161,140,140,148,140,115,132,202,218,218,217,216,215,215,215,214,79,81,88,109,133,151,161,178,201,157,132,150,147,139,138,134,131,124,127,192,220,221,221,220,219,218,217,217,79,82,90,111,135,153,164,184,207,174,149,129,124,132,136,131,143,154,142,167,213,223,224,223,223,222,222,221,80,82,91,114,138,156,167,192,215,180,144,119,121,129,148,164,177,185,170,144,180,221,226,226,225,225,225,225,80,83,93,117,141,159,170,200,218,176,134,116,125,141,176,206,201,196,180,132,135,206,228,228,228,227,228,227,80,83,95,120,145,162,172,203,221,176,131,120,133,156,195,222,222,199,160,114,117,196,230,231,230,230,228,223,81,84,97,123,148,165,175,203,224,183,134,124,142,170,205,224,222,192,145,106,120,203,232,232,226,211,183,154,81,84,99,126,151,167,176,201,225,193,146,129,149,179,212,226,215,182,138,104,131,216,230,206,162,119,85,65,80,84,100,129,153,169,178,200,224,205,162,136,152,180,216,225,204,170,131,104,146,219,193,124,73,52,49,46,79,83,101,131,155,170,179,196,217,209,174,145,153,180,215,218,195,160,123,102,151,173,109,67,53,38,43,47,78,82,102,132,157,171,178,192,208,208,182,156,156,177,208,208,185,150,116,96,112,90,53,48,54,37,33,47,77,81,103,134,159,173,181,192,202,206,189,167,161,167,196,194,173,137,107,86,78,62,46,36,47,43,27,35,76,81,104,135,160,175,183,193,202,204,191,172,163,158,176,178,157,124,98,80,75,62,46,31,34,46,29,23,92,95,111,134,154,167,175,185,193,196,191,176,165,153,157,163,144,114,88,74,75,62,44,30,25,39,36,20,114,115,118,123,131,138,144,149,154,168,191,181,168,153,145,152,135,106,79,69,71,57,46,30,21,32,40,22
2,164,164,165,166,166,166,166,165,166,165,166,165,165,165,165,165,164,165,164,163,162,160,160,161,150,74,44,57,167,168,169,168,168,168,168,168,168,169,169,169,168,168,168,166,160,165,165,165,163,163,164,165,143,64,54,62,172,173,173,171,171,172,172,172,173,173,173,173,171,175,175,145,106,132,147,138,165,167,167,167,154,82,63,59,175,175,175,174,174,175,175,176,176,175,175,178,181,172,139,102,75,81,100,84,121,159,169,168,166,106,65,63,178,178,178,177,177,178,178,179,178,180,191,193,159,112,85,71,64,64,73,63,67,132,173,171,172,123,63,54,181,181,181,180,181,181,181,182,180,191,199,173,107,66,64,60,55,51,59,61,62,131,175,173,174,143,68,39,183,184,184,183,183,184,185,184,183,204,178,114,74,53,54,58,52,50,57,67,100,165,176,174,175,165,77,35,186,186,187,187,187,186,187,186,194,208,143,79,62,55,49,53,60,76,115,147,172,180,179,177,177,172,112,92,188,188,189,190,189,189,189,186,206,196,125,79,63,67,58,62,82,143,182,183,183,183,181,179,179,178,143,129,189,191,192,192,192,192,191,196,210,172,107,67,60,64,62,88,158,185,186,186,186,185,183,182,182,182,121,145,192,193,193,193,193,193,191,207,206,157,104,70,62,58,69,123,194,191,189,188,187,187,187,186,184,182,133,168,194,195,196,196,195,195,197,218,198,148,104,84,73,63,69,146,196,194,193,190,190,189,188,187,186,184,168,157,195,196,197,198,198,195,207,226,187,135,96,82,78,75,78,176,197,195,194,194,193,192,191,189,187,188,186,164,197,197,198,200,199,196,217,221,176,124,87,77,73,77,97,192,198,197,195,195,194,194,194,192,190,191,188,181,198,199,199,199,197,198,226,210,168,121,87,74,71,76,107,197,199,197,195,195,195,194,194,194,193,193,190,184,200,200,200,201,197,212,226,198,156,113,87,76,76,74,121,203,201,199,198,197,197,196,196,195,194,195,194,191,201,202,202,203,199,225,219,185,144,105,85,74,70,67,110,198,202,201,201,201,200,199,193,184,177,171,176,191,203,203,204,199,203,229,213,176,136,99,81,69,66,74,78,142,204,203,203,200,186,175,166,161,154,141,123,147,204,205,206,197,215,226,204,165,126,97,77,60,69,79,81,89,168,194,185,168,161,160,166,157,140,126,117,135,206,207,203,202,226,221,194,152,116,94,70,57,76,82,89,95,104,126,141,158,168,158,138,116,126,165,185,192,208,208,200,215,227,214,184,144,112,90,64,66,90,97,107,109,109,119,140,156,147,122,103,130,188,200,201,201,209,205,205,227,225,206,172,137,108,89,66,78,101,111,116,114,113,118,127,120,116,135,164,196,203,202,200,200,206,203,223,226,217,198,165,129,99,86,72,90,108,117,118,113,104,98,101,130,177,202,206,206,205,203,202,201,198,213,226,221,211,192,156,119,93,86,80,102,114,117,110,99,92,103,155,201,209,209,208,207,207,205,205,205,207,217,219,212,196,169,134,105,92,84,87,104,110,110,96,93,138,186,209,210,210,211,210,209,208,207,207,207,214,216,209,192,170,143,116,96,90,85,92,99,102,98,94,153,209,214,212,211,211,212,212,212,210,209,208,207,212,209,193,169,150,131,107,93,89,90,91,91,94,109,166,211,215,215,214,213,213,213,213,213,211,210,208,207,209,200,180,148,134,113,93,92,93,92,89,88,135,194,216,216,216,216,216,216,215,214,214,213,212,211,210,209
10,118,123,127,131,134,138,141,144,147,149,150,152,153,153,154,153,155,156,155,155,155,155,155,155,157,156,156,156,121,125,129,134,138,142,144,148,150,153,154,156,157,157,157,157,159,158,159,159,158,158,158,157,159,158,157,157,125,129,133,137,141,145,149,152,155,157,159,159,160,160,162,162,162,165,164,163,163,162,161,161,162,163,162,160,127,132,137,141,145,149,153,157,159,161,162,163,164,164,165,165,167,156,159,169,166,166,164,166,165,165,165,165,130,136,141,143,148,151,156,160,164,165,166,167,168,167,169,164,180,153,106,175,168,168,168,169,169,169,170,167,134,138,143,147,151,155,159,162,166,168,168,169,170,172,171,170,177,184,104,140,178,171,172,174,173,172,173,171,135,141,146,150,153,157,162,166,168,170,171,172,173,174,175,177,175,192,147,105,179,175,175,175,176,175,174,175,137,143,148,152,157,160,164,168,171,172,173,175,175,176,175,167,172,196,196,115,154,183,175,178,177,177,176,176,141,146,150,155,159,164,168,171,172,173,175,177,178,177,189,136,97,194,216,149,112,189,179,182,182,181,181,179,142,147,152,156,161,167,169,172,174,176,178,179,181,178,193,173,87,121,220,178,93,171,187,184,184,184,183,183,143,149,154,160,164,167,170,174,177,178,181,182,183,182,186,219,177,118,156,196,100,144,193,183,185,186,186,185,145,150,155,161,166,168,173,176,177,180,183,185,182,194,181,178,225,145,67,169,121,114,199,184,189,189,188,187,147,152,157,162,167,170,174,177,179,182,183,184,188,198,171,91,156,168,84,78,97,89,202,187,191,191,190,190,147,152,158,163,168,172,174,179,182,184,185,184,214,193,144,55,45,167,127,49,43,53,176,197,191,191,191,191,148,153,160,164,169,173,176,180,184,185,186,183,217,184,88,13,0,119,145,91,38,32,121,206,192,193,192,193,150,155,160,166,170,175,178,182,185,184,197,198,177,212,172,66,0,107,156,140,77,36,89,205,194,195,193,192,151,157,160,166,171,175,180,183,186,184,203,222,192,171,218,147,50,154,182,162,97,35,71,201,197,198,197,194,152,158,163,166,171,177,181,183,186,188,185,191,220,155,156,209,120,161,187,152,105,38,63,203,199,199,199,197,151,156,161,165,170,175,179,183,184,186,188,157,175,144,93,165,111,168,199,148,100,48,61,201,200,200,199,198,152,158,162,166,171,173,177,183,184,184,198,200,160,143,103,111,212,219,195,151,87,47,67,200,199,199,196,197,152,157,161,167,172,175,178,182,185,183,196,218,183,143,131,178,234,212,187,133,79,50,75,204,198,199,197,197,152,157,160,167,172,175,178,182,185,187,186,213,195,181,167,195,225,194,167,119,74,64,66,200,200,199,198,198,153,158,163,167,171,174,179,182,184,187,187,203,202,197,190,180,220,179,153,119,100,89,66,197,200,198,200,200,149,154,161,168,174,179,183,187,190,192,196,200,207,206,202,160,196,174,162,135,127,93,77,205,202,202,202,202,73,77,83,90,95,99,105,112,117,121,120,142,210,208,195,165,164,168,177,153,119,73,85,190,188,193,194,197,64,65,66,66,63,61,60,63,64,64,67,65,172,194,174,164,152,159,192,160,107,68,62,78,82,86,90,93,71,71,73,73,73,78,79,78,77,77,81,66,117,187,159,163,162,164,179,153,102,63,72,78,75,76,75,74,67,67,70,70,70,72,73,78,76,74,74,72,84,178,175,164,171,162,159,158,102,62,80,89,85,89,88,91
23,143,147,150,154,156,157,160,162,164,165,166,167,167,167,169,169,168,168,167,167,167,166,165,165,165,163,162,162,144,148,152,155,158,159,161,163,165,167,168,169,169,170,170,172,170,170,170,170,170,168,168,168,166,165,164,164,145,149,153,157,159,161,163,165,167,169,170,171,172,172,172,173,172,170,170,173,172,170,169,170,169,168,166,165,147,151,155,159,161,163,165,167,169,170,171,173,174,174,174,176,178,167,149,150,169,173,172,172,171,170,169,167,149,153,158,161,163,165,167,169,170,172,173,175,176,177,181,183,184,167,159,140,153,160,170,175,173,172,171,170,151,155,160,163,165,167,170,171,172,175,176,177,180,193,180,175,186,142,147,151,146,118,151,176,175,174,173,171,153,157,161,165,166,169,171,173,175,176,178,178,192,191,165,136,137,99,125,128,115,122,168,179,177,176,175,174,155,160,163,166,168,171,173,175,176,178,180,181,201,187,169,94,122,155,177,176,170,176,180,180,179,178,177,177,157,160,165,167,170,172,174,177,178,180,181,187,203,189,175,111,145,186,182,181,183,182,182,181,180,180,179,178,158,161,165,169,172,174,176,178,180,182,181,188,196,186,180,154,169,181,166,137,164,184,184,183,182,182,181,180,158,163,168,171,173,176,178,180,182,191,186,178,176,178,189,187,189,184,160,103,123,189,186,185,184,183,182,181,160,165,169,172,175,177,180,181,187,204,190,171,158,163,173,169,165,156,137,99,110,190,187,187,187,186,184,183,161,166,170,174,177,179,181,181,193,208,192,165,140,146,177,183,177,166,142,99,97,188,189,189,189,187,186,186,162,166,171,174,177,180,183,183,202,209,195,167,146,145,154,157,162,169,148,97,83,185,192,190,189,188,187,187,163,167,172,176,178,181,183,188,210,212,198,179,175,174,162,140,127,131,119,84,76,175,193,192,191,190,188,187,164,169,174,177,180,182,184,195,214,211,197,179,175,164,173,159,139,124,94,73,65,112,171,195,194,193,190,189,166,170,175,179,181,184,188,206,214,211,197,169,154,135,155,168,147,116,82,66,73,105,111,162,196,194,193,191,166,171,176,180,182,183,198,217,216,207,178,130,115,108,107,141,156,115,72,63,73,94,74,75,174,196,194,193,167,172,177,180,183,187,212,222,212,190,167,134,96,74,78,157,173,105,68,58,71,80,64,55,136,198,195,194,168,173,177,181,183,208,225,219,203,179,164,135,97,75,120,159,144,88,59,63,77,79,64,68,152,198,195,195,169,173,178,181,192,225,225,213,191,176,161,127,92,74,106,112,97,68,53,71,84,79,79,141,195,199,197,196,170,175,179,181,211,229,220,206,188,174,153,121,85,55,60,64,73,68,63,73,81,99,162,199,201,199,199,197,171,175,180,193,226,225,216,198,180,165,143,110,80,60,71,79,86,80,73,74,126,183,202,202,201,200,200,200,171,175,181,221,228,215,203,186,170,154,129,98,78,68,85,93,91,79,82,145,199,205,203,202,201,201,201,201,171,175,196,234,219,203,190,172,156,138,117,93,76,73,88,85,75,77,154,205,207,206,205,203,202,202,202,201,167,173,211,229,212,194,181,165,147,130,111,90,72,70,80,73,87,162,206,208,208,207,205,205,204,202,202,201,71,134,222,218,204,183,162,154,136,116,99,77,63,62,72,110,179,210,210,208,207,207,206,206,205,204,203,203,36,120,206,205,197,172,159,146,109,90,70,49,49,93,150,199,210,209,209,208,208,207,207,207,206,204,203,203
12,171,171,173,176,177,177,181,181,182,182,182,181,181,181,180,179,178,178,177,177,177,175,174,173,172,170,170,170,172,174,176,177,179,181,182,182,183,184,184,184,184,181,182,183,181,178,179,178,177,177,176,175,174,173,172,172,174,175,177,179,181,183,183,185,185,185,186,186,185,185,185,186,183,181,181,180,179,179,178,178,177,177,174,174,176,177,179,182,183,183,185,186,186,186,187,188,186,186,186,184,184,184,184,183,182,182,181,180,178,177,176,175,177,179,182,184,185,185,188,190,189,189,190,191,191,193,189,186,187,190,192,183,183,183,184,182,180,179,178,177,178,182,184,185,186,189,190,192,192,192,193,190,187,178,187,194,180,150,149,193,190,188,184,184,183,182,180,178,181,184,186,187,189,191,193,193,194,194,192,202,188,136,111,186,172,118,51,150,172,166,192,187,183,183,182,181,184,185,188,191,193,193,195,196,195,196,198,210,186,136,57,131,166,116,69,77,138,78,103,191,185,184,185,183,185,188,191,193,194,194,196,196,197,195,166,200,171,117,53,110,202,138,94,72,123,82,39,129,199,184,186,185,186,188,192,193,195,196,197,196,216,199,127,160,185,129,37,128,253,157,107,101,132,86,43,103,203,186,187,187,189,190,193,195,196,198,195,218,239,199,146,102,231,172,45,110,230,130,76,162,151,100,32,120,205,187,189,189,191,192,193,196,199,202,196,226,229,206,147,76,202,155,75,88,131,92,96,203,130,65,25,136,204,191,192,190,192,193,195,198,200,200,202,241,206,175,119,67,66,92,65,71,133,184,175,134,77,31,38,177,200,193,193,192,192,196,199,201,202,200,231,234,195,119,86,66,18,28,140,182,182,183,163,123,116,48,98,211,193,195,194,195,194,196,199,202,202,204,250,221,170,121,118,47,17,148,227,215,187,166,135,112,117,59,120,214,195,198,196,195,196,197,201,203,203,206,252,225,140,145,149,61,127,237,225,215,185,158,138,108,94,42,133,215,198,200,198,196,198,200,202,205,202,217,255,226,186,163,134,161,220,229,225,206,183,150,128,100,72,30,157,213,200,201,199,198,198,201,203,207,203,226,254,233,209,194,144,185,220,230,213,199,174,134,115,89,62,19,146,217,199,202,201,200,200,201,205,208,205,225,250,237,217,197,155,199,215,218,197,184,156,123,104,76,55,17,142,219,201,204,202,201,202,203,206,210,207,220,243,234,225,194,157,184,207,194,186,175,137,106,85,63,39,26,190,210,205,206,203,202,203,204,206,209,206,215,243,236,225,177,147,172,183,188,173,156,118,92,74,54,17,137,218,207,209,207,206,204,203,203,207,209,221,218,227,226,193,148,146,173,181,190,173,141,119,91,66,35,139,220,207,210,210,209,207,206,202,203,209,209,144,202,229,206,188,181,174,171,190,194,165,123,114,83,30,137,230,209,211,210,211,210,208,206,204,203,217,175,35,89,228,225,212,194,168,146,176,176,133,100,95,40,94,224,212,213,212,210,211,210,209,208,204,206,212,101,75,48,95,171,163,149,140,129,159,142,103,89,54,61,214,218,214,215,214,212,212,211,211,209,201,218,174,62,75,69,0,44,45,43,38,41,70,77,73,59,36,185,226,214,217,216,215,214,213,212,212,210,201,209,110,65,69,78,0,8,34,29,15,6,2,6,15,0,28,197,221,217,217,216,216,215,213,212,212,210,211,171,67,68,66,74,0,0,22,24,13,10,7,3,0,0,0,112,234,213,216,215,215,214,211,211,210,208
15,72,75,77,78,82,83,86,97,105,112,117,121,126,128,130,132,135,137,140,144,145,146,148,150,152,153,153,154,71,74,73,72,77,80,87,97,105,112,118,122,127,128,130,132,136,139,140,144,146,148,150,153,154,153,154,154,74,68,97,126,91,80,84,96,106,113,118,123,128,129,130,132,136,139,140,144,146,147,150,153,154,152,154,155,76,60,130,162,141,121,106,98,104,108,119,126,129,131,130,132,136,139,142,145,148,149,151,151,153,153,156,157,74,68,93,140,131,129,135,126,123,111,109,111,118,122,127,133,139,143,144,145,147,150,150,152,154,154,156,158,72,76,71,91,101,96,114,123,128,132,125,115,114,112,116,117,117,125,133,142,150,149,151,152,155,156,157,159,72,73,76,77,80,83,95,99,98,123,126,124,119,119,127,130,117,102,95,86,136,155,152,155,156,157,157,159,73,74,77,79,80,82,90,95,90,103,111,110,106,103,124,138,139,117,107,80,72,144,156,154,157,158,159,161,73,73,75,78,79,81,91,101,106,111,111,111,105,100,132,134,138,123,124,106,81,86,152,156,157,159,161,162,72,73,74,77,79,81,91,100,105,115,122,125,118,133,147,135,131,141,131,123,109,78,90,157,157,160,162,163,71,72,74,77,79,83,90,99,113,114,118,125,134,157,150,113,130,144,126,141,123,97,64,98,163,157,162,162,71,73,73,76,80,80,94,136,122,123,119,110,139,138,113,95,118,139,120,152,132,100,81,59,121,166,160,163,72,72,74,77,79,77,104,144,135,147,150,125,99,106,85,55,110,122,120,152,133,104,86,71,65,137,166,164,71,72,76,78,79,80,92,112,120,150,159,128,106,117,111,90,106,112,127,133,126,105,88,73,67,68,144,168,71,71,73,75,77,81,89,101,116,131,129,112,121,126,117,122,123,117,97,91,106,97,85,71,69,58,81,158,71,71,71,72,75,79,90,100,107,114,107,98,119,127,123,128,135,122,92,70,81,83,79,77,70,69,59,93,69,71,71,73,75,78,89,99,105,111,162,110,84,94,122,128,130,117,86,72,77,76,76,80,75,71,69,59,67,68,69,73,73,77,88,99,106,109,172,133,79,33,65,111,123,112,87,77,79,76,78,81,78,74,71,65,67,68,69,71,71,77,89,97,106,109,158,126,69,51,44,60,107,87,75,75,80,81,80,81,78,76,74,67,67,68,69,70,71,77,89,98,107,109,157,125,61,89,60,57,89,100,83,81,86,87,84,80,77,76,74,71,65,66,68,70,70,76,86,96,105,107,150,121,57,127,67,105,76,109,105,98,91,84,82,79,75,74,72,74,65,66,66,69,69,74,84,94,106,101,164,120,48,136,111,80,127,100,90,79,81,78,78,77,77,77,76,73,64,63,62,64,63,70,82,92,103,102,157,104,52,127,144,53,135,124,73,95,65,63,67,65,66,70,73,76,105,101,100,103,102,105,106,109,112,112,122,73,86,134,115,77,132,137,129,142,92,54,54,54,55,58,65,71,84,83,84,86,90,88,86,84,81,80,82,71,85,90,86,85,91,91,92,91,91,68,59,66,72,76,79,80,82,83,82,83,82,81,83,81,77,79,81,86,84,82,83,85,82,82,82,82,83,83,83,90,85,92,90,94,86,84,85,87,85,85,86,86,85,85,88,86,86,88,90,87,86,87,88,88,90,90,85,112,100,100,95,103,88,86,85,85,85,86,88,88,88,88,88,86,85,87,88,87,87,88,87,86,87,90,81,113,129,112,110,111
7,126,127,128,128,128,127,127,127,127,127,127,127,128,127,126,125,125,125,114,20,1,27,43,46,68,92,106,128,129,130,131,131,130,130,130,130,131,130,131,129,129,129,128,128,127,132,92,10,20,45,38,41,66,88,110,129,133,133,134,133,134,134,134,135,135,134,134,135,133,133,131,131,128,136,66,6,26,35,40,34,61,94,116,131,136,136,136,136,136,136,136,136,138,137,135,132,131,134,129,129,125,130,100,69,86,37,31,51,69,106,124,125,139,140,140,140,140,139,138,140,140,139,141,130,115,131,139,130,115,118,107,128,163,74,24,51,80,119,125,117,142,142,143,143,145,144,141,143,151,157,152,137,123,132,132,128,118,112,107,102,137,80,41,65,98,130,126,115,146,147,146,145,145,146,153,162,166,162,153,138,138,133,101,109,130,121,121,110,109,91,90,130,115,132,134,121,150,149,151,149,143,151,159,159,156,150,148,149,142,130,109,116,134,122,121,115,92,86,73,103,98,129,140,135,152,149,169,165,154,153,155,152,152,153,150,149,142,121,117,108,95,81,75,73,61,57,64,65,71,127,139,144,151,156,180,167,148,144,151,154,153,150,144,135,122,105,91,80,77,81,95,93,71,132,126,104,74,127,136,145,155,162,177,163,133,130,141,143,141,125,101,85,63,58,91,138,149,148,160,133,98,172,104,136,85,120,134,140,156,166,172,152,126,131,133,115,95,71,80,109,76,78,85,65,144,156,153,146,129,90,82,160,87,105,132,129,157,169,169,152,152,148,133,120,112,120,124,121,113,109,119,51,80,167,151,153,151,95,138,166,93,80,129,123,162,172,171,174,181,157,122,125,131,129,122,109,106,105,98,50,76,168,154,155,151,146,130,150,121,73,119,125,165,173,174,182,180,151,114,114,111,104,104,99,93,86,67,59,152,161,157,157,154,152,162,150,136,119,123,127,166,173,177,179,163,139,125,115,90,70,77,91,87,84,69,78,167,160,159,158,159,156,133,95,101,129,125,127,173,177,176,169,153,144,145,148,117,91,103,119,112,95,91,78,128,170,161,159,160,166,130,90,114,123,122,129,178,180,173,161,152,143,156,156,116,91,99,102,92,80,80,57,126,171,161,162,162,164,157,118,135,116,121,128,176,178,171,162,152,154,169,148,111,91,92,90,86,79,61,75,164,166,165,165,162,161,162,135,127,119,112,123,174,177,170,158,158,164,157,131,100,82,71,66,56,42,60,148,173,165,165,165,163,164,165,146,130,126,109,114,171,171,163,156,158,148,131,112,97,88,64,40,54,95,151,176,168,168,166,165,164,164,167,153,131,136,117,98,165,164,158,155,154,139,124,116,103,85,93,141,161,179,175,171,169,169,168,169,167,166,168,154,129,141,134,111,160,158,157,152,149,139,130,117,84,62,161,184,174,172,170,171,171,170,170,170,168,166,167,154,126,138,137,125,158,150,152,151,136,127,118,89,48,119,186,174,175,175,174,173,172,171,170,170,170,168,168,154,127,135,133,128,155,144,139,132,120,108,89,55,80,179,178,177,178,178,177,176,173,171,172,172,170,169,171,155,129,134,131,123,147,137,129,113,96,79,53,60,163,181,178,179,177,178,176,175,175,174,173,173,171,170,172,150,131,135,130,123,128,119,109,91,68,50,66,154,184,178,179,180,179,179,178,178,176,175,173,173,172,172,168,141,134,134,129,120,112,100,93,80,57,90,164,185,178,180,180,180,180,180,179,179,178,176,175,175,173,175,156,134,138,138,133,123
19,136,138,139,141,143,144,144,144,144,144,144,145,144,144,144,143,143,141,141,141,140,140,139,137,136,135,135,135,138,137,140,142,143,144,145,145,145,144,145,145,144,145,145,144,143,143,142,142,141,138,138,139,138,136,138,135,138,139,140,141,143,145,147,146,147,146,146,145,145,145,147,145,144,143,143,144,143,140,141,141,139,138,138,137,138,140,142,144,144,145,147,146,147,148,148,147,145,147,147,146,145,145,144,144,144,142,142,140,140,139,138,137,140,142,142,144,146,146,147,149,149,147,146,149,151,146,147,147,146,146,144,144,145,145,144,142,140,139,139,138,140,145,144,146,149,150,150,149,151,155,133,109,133,153,148,149,148,147,145,145,146,145,145,144,141,141,140,139,143,145,147,148,149,150,150,151,151,185,162,124,76,133,155,149,150,148,147,147,146,146,146,144,142,142,141,140,143,144,146,148,149,150,152,155,146,174,189,151,91,60,151,151,151,149,148,149,148,146,147,145,143,143,142,141,146,147,147,150,152,153,154,154,152,158,187,157,106,37,107,162,149,151,149,148,148,146,145,145,144,143,143,142,146,148,149,153,153,153,155,157,150,157,179,146,98,40,74,165,150,152,150,148,149,147,146,145,144,145,144,143,146,148,151,153,153,156,159,156,166,198,170,138,120,71,83,152,150,156,156,152,150,148,148,148,146,145,144,144,148,150,154,155,157,158,156,156,204,189,153,131,143,156,150,136,127,129,137,148,154,152,151,147,147,147,144,145,150,153,154,156,157,159,152,187,200,161,109,83,109,154,174,173,159,145,117,119,123,140,148,152,148,146,145,145,152,156,155,156,157,156,169,214,192,169,134,80,59,99,143,161,169,169,155,141,131,136,123,124,139,151,150,145,154,156,155,158,161,156,197,203,177,157,138,131,107,96,103,113,121,136,150,163,169,173,154,116,108,104,137,150,153,155,156,160,158,169,203,186,146,119,118,109,140,145,125,111,94,76,87,108,121,148,162,152,133,93,88,127,153,156,159,162,160,195,220,195,146,115,106,98,105,147,155,145,123,84,59,110,131,123,123,123,123,123,117,127,156,158,158,157,173,214,216,185,149,132,134,135,129,110,120,139,137,108,88,81,155,161,149,137,124,118,114,117,156,158,160,158,192,213,200,168,140,139,153,152,151,128,56,99,102,108,111,78,134,165,158,159,158,152,143,138,157,160,157,177,207,209,194,152,119,95,133,168,169,164,79,100,74,75,77,96,159,160,159,159,157,157,157,155,157,157,163,203,203,218,194,148,115,98,83,123,137,152,145,118,91,84,74,152,163,160,159,159,157,156,155,153,158,155,180,206,212,221,182,140,126,125,125,112,83,112,161,134,109,79,137,170,160,160,161,160,156,154,153,151,159,161,199,207,216,201,179,148,138,132,130,120,108,101,100,100,90,119,167,162,163,162,160,158,158,157,155,154,155,175,209,207,205,194,175,157,141,142,138,120,99,92,96,67,130,169,164,162,163,162,161,160,158,157,155,155,154,189,208,204,204,189,162,145,122,123,132,121,109,102,88,118,177,166,164,162,164,164,163,162,160,157,158,156,159,200,204,198,195,180,162,125,88,72,80,97,95,99,121,163,170,168,167,165,164,164,164,163,161,159,159,157,175,201,190,181,178,157,124,92,71,44,113,161,146,156,172,169,169,168,168,167,165,163,162,162,160,158,156,156,196,196,171,164,150,121,92,77,70,55,160,180,175,173,170,170,170,170,168,166,164,163,162,162,159,158,158,156
17,118,119,122,123,125,128,130,131,132,133,135,137,137,137,139,140,141,143,144,143,144,145,146,145,146,146,145,146,117,119,121,123,125,130,131,131,132,134,136,138,138,138,140,141,143,145,146,148,146,150,147,146,147,146,147,148,117,120,122,126,129,130,131,132,133,135,136,139,141,140,140,143,144,146,137,130,143,116,141,149,149,148,148,149,119,121,123,127,130,131,133,134,135,137,138,139,139,142,142,145,144,149,142,91,85,67,103,158,149,149,149,148,120,122,125,128,130,133,135,136,137,138,142,142,142,143,146,147,145,150,166,116,55,43,107,160,148,151,151,149,121,123,126,129,131,133,137,136,138,141,140,141,144,144,145,148,148,147,170,128,73,27,124,159,149,152,152,151,122,124,127,129,131,134,136,137,139,140,141,144,144,148,149,148,151,148,171,145,93,39,143,155,152,152,151,151,122,126,128,130,131,134,137,138,141,141,141,144,148,127,131,157,149,148,175,146,98,70,158,154,155,153,154,152,123,128,129,130,132,136,138,139,141,143,143,142,150,131,83,120,158,156,176,140,97,81,160,155,155,154,155,154,123,127,130,131,133,135,137,140,140,140,139,143,158,138,113,89,123,151,172,140,93,75,159,155,156,155,155,155,124,128,131,131,134,138,140,138,147,151,116,93,143,160,155,150,100,65,129,136,101,78,158,156,158,157,156,154,125,128,129,133,137,139,140,139,162,164,113,79,131,140,169,163,134,67,66,110,92,74,157,157,157,156,156,156,124,129,131,135,137,139,139,147,151,131,145,108,115,88,114,178,157,100,48,77,76,67,156,158,158,157,156,156,127,130,131,134,136,139,139,151,163,107,103,93,53,38,45,182,172,127,57,53,58,58,155,159,159,158,157,157,127,130,132,135,137,140,139,159,146,99,80,95,61,60,57,163,186,143,79,47,57,52,150,162,158,159,159,159,128,130,133,137,138,141,138,162,155,133,115,103,79,101,86,142,196,145,98,50,55,51,141,164,158,160,160,160,129,131,135,137,138,140,142,172,145,115,109,98,92,119,121,164,173,148,111,57,46,48,144,164,159,160,160,160,128,131,135,137,139,140,151,168,126,106,100,99,111,115,179,190,146,134,110,55,40,40,146,166,161,161,160,161,128,131,134,138,142,139,159,171,132,116,101,104,111,150,199,182,148,122,100,56,35,42,151,164,163,161,160,160,129,131,135,138,143,139,166,175,138,122,100,107,120,185,183,171,144,115,93,53,35,56,166,160,162,162,160,161,129,132,137,139,142,137,173,172,142,133,109,110,148,198,177,167,135,101,87,51,30,91,173,159,161,162,162,161,129,132,137,141,143,136,181,172,148,141,126,111,163,193,167,164,137,92,76,48,35,140,166,160,163,162,161,161,130,133,138,141,145,139,184,179,153,153,141,118,162,182,160,154,135,91,68,38,65,170,160,163,163,162,162,162,130,135,139,141,143,138,177,185,158,159,145,132,145,176,154,153,125,88,61,32,117,171,160,162,161,161,162,162,129,134,139,141,144,139,165,190,164,151,140,142,139,164,147,157,131,81,57,36,144,169,162,163,163,162,163,162,131,135,139,140,145,143,158,187,160,149,134,139,144,152,141,160,135,81,54,46,159,165,164,165,165,164,163,163,132,135,137,140,144,142,161,181,156,148,134,134,142,150,137,158,122,81,50,80,173,163,164,165,165,164,163,163,130,134,137,140,146,142,164,182,168,150,139,142,147,148,132,152,106,72,45,127,172,163,165,165,164,164,163,163
3,152,152,153,155,156,156,156,156,155,156,156,155,155,154,153,152,151,150,149,147,146,145,144,142,140,139,138,138,157,157,157,158,159,160,160,159,158,159,159,158,158,157,156,155,154,153,151,150,148,146,144,143,143,141,139,138,161,162,161,162,164,164,164,163,162,163,163,162,161,160,159,161,142,141,155,153,151,149,147,146,145,142,142,140,165,167,167,167,168,168,168,168,167,167,167,166,165,164,163,166,132,111,158,157,155,153,152,150,148,146,144,142,171,171,171,172,172,173,172,172,172,172,171,170,169,168,167,167,134,96,156,161,159,158,156,154,151,150,147,145,175,175,175,176,176,176,176,176,177,176,175,174,173,171,171,169,134,86,154,164,163,161,159,157,154,151,150,148,178,179,179,180,180,180,180,180,180,180,180,178,177,175,175,171,135,85,153,169,166,164,163,161,158,155,153,151,183,183,183,183,184,184,183,183,184,184,183,182,181,180,179,179,143,87,151,172,170,168,166,164,161,159,157,155,186,186,187,187,188,187,187,187,187,187,187,185,184,183,181,182,138,83,153,174,173,172,169,167,164,163,160,159,189,190,190,191,191,191,191,190,190,189,189,188,187,187,184,175,134,91,154,178,175,174,173,170,168,165,163,161,193,194,194,194,194,194,194,194,193,192,192,192,190,189,187,177,137,93,145,182,178,176,175,173,171,168,166,164,195,196,196,196,196,196,195,196,196,196,196,195,193,192,190,186,141,84,135,185,181,179,177,175,173,171,169,166,198,198,199,199,198,198,198,198,198,198,197,198,196,191,174,158,157,118,129,189,184,181,180,178,176,173,171,169,200,200,201,201,201,201,201,201,200,200,199,185,172,182,153,99,139,145,98,143,175,184,182,180,178,175,173,172,201,202,202,202,203,203,203,203,203,201,192,163,118,146,156,105,104,135,88,79,105,171,185,183,181,178,175,173,203,203,202,203,204,204,205,205,205,196,182,161,133,120,160,123,83,121,106,86,77,140,188,185,183,181,178,175,204,204,204,206,206,206,207,207,201,186,146,135,144,115,138,128,75,80,105,94,67,124,190,187,184,182,180,177,206,207,207,207,207,207,208,208,196,181,144,100,122,96,106,128,74,71,105,124,82,107,190,188,186,184,181,179,208,208,209,209,208,209,209,209,198,178,141,92,95,67,93,104,60,80,107,148,104,91,186,189,188,186,183,181,208,209,210,210,210,210,210,210,202,177,159,124,85,72,102,91,70,123,153,150,107,93,188,193,189,187,185,183,210,210,210,211,211,211,212,213,205,179,171,141,101,95,118,114,133,179,162,128,81,138,196,194,191,189,186,185,211,211,212,212,213,213,214,215,209,177,170,149,116,102,128,176,187,177,138,98,86,185,198,195,193,190,187,186,211,212,213,214,214,214,215,215,214,179,158,144,120,107,122,175,172,151,112,75,122,201,198,196,194,192,189,186,210,211,211,212,214,214,214,215,216,192,152,145,129,117,118,159,156,128,87,75,170,202,199,197,195,192,190,187,209,211,211,212,214,215,215,215,215,207,161,147,140,122,105,129,124,95,69,138,200,200,198,195,194,191,190,187,210,212,213,214,215,215,215,215,215,210,179,159,142,114,94,98,90,62,119,199,202,200,198,196,194,186,162,126,212,213,214,214,214,215,216,216,216,200,182,170,145,119,102,94,80,79,186,206,204,201,194,179,138,100,67,49,211,212,214,214,214,216,216,216,216,188,173,175,154,138,117,96,68,116,206,202,178,146,116,86,60,50,41,38
7,175,176,177,180,183,183,182,183,183,184,184,184,184,185,185,184,184,184,185,184,182,181,179,177,175,173,172,169,176,179,180,181,183,185,185,186,186,186,185,185,186,186,187,189,187,186,186,187,185,183,182,178,175,175,176,173,178,181,183,185,186,188,187,187,188,190,189,189,191,191,191,190,189,190,190,189,188,186,183,182,180,178,177,175,181,183,185,187,189,189,191,190,190,191,193,193,193,193,193,191,191,192,193,191,189,188,185,183,184,181,179,176,184,186,188,188,190,192,192,192,193,194,194,194,194,194,194,194,193,194,194,193,192,191,188,187,186,184,182,181,186,189,190,192,192,194,194,195,196,195,194,197,196,196,196,196,195,195,195,195,194,191,191,191,188,185,184,181,188,190,190,193,195,197,197,197,198,197,197,199,198,199,199,197,198,198,197,196,196,194,193,192,191,188,187,185,190,192,193,196,197,199,199,199,202,204,203,201,202,202,202,201,200,201,201,199,199,198,194,192,194,192,189,188,191,193,195,197,197,200,205,209,194,169,188,198,198,196,199,202,203,201,199,199,196,194,201,196,194,192,191,190,192,193,196,202,207,210,213,218,206,162,138,165,183,180,184,184,181,184,185,187,182,198,219,179,199,193,192,191,197,205,210,215,215,210,207,204,202,164,121,139,161,171,171,164,159,163,159,169,160,159,144,175,199,194,194,194,216,217,215,211,203,194,183,182,193,169,126,114,125,148,162,173,171,160,162,166,154,155,161,164,196,191,194,196,214,210,202,195,190,184,182,189,203,186,131,116,116,110,117,123,126,128,139,145,144,147,160,151,162,158,197,196,209,197,184,178,174,177,181,192,187,159,130,121,133,136,127,99,104,168,162,158,150,148,151,155,156,185,202,199,206,192,177,171,173,172,166,178,189,161,116,94,114,137,140,133,107,188,223,213,213,212,210,208,210,207,201,201,208,197,186,180,180,180,174,176,195,177,130,111,119,117,115,115,104,196,214,210,211,210,209,207,205,206,204,205,200,196,193,186,182,180,179,183,195,176,138,135,145,131,132,94,155,226,213,215,213,213,212,210,209,208,210,187,188,192,193,192,185,177,173,176,167,153,134,131,139,134,120,122,221,217,215,217,214,214,213,212,211,216,156,92,142,174,195,189,176,169,161,148,129,110,91,58,71,112,97,167,230,215,216,217,216,215,215,213,219,196,89,93,24,60,120,162,148,128,128,133,162,182,99,45,69,95,126,215,218,218,218,216,215,213,212,216,212,139,81,76,0,0,3,21,100,189,202,219,224,232,204,115,142,170,212,223,220,219,218,215,215,222,216,212,135,75,64,38,0,0,0,0,191,229,220,220,218,218,222,222,223,228,222,221,221,220,218,223,225,173,119,94,68,54,41,24,0,0,0,19,224,216,217,220,221,221,221,220,218,218,221,223,223,219,223,195,126,80,79,68,57,39,26,17,0,0,0,5,222,218,218,220,221,221,221,222,221,221,223,222,221,234,199,91,39,41,64,51,45,44,33,13,0,0,0,2,231,224,225,226,226,228,229,230,229,229,228,229,232,194,113,82,43,15,34,43,34,37,40,18,0,0,0,0,171,180,181,185,188,191,194,195,197,200,199,205,188,83,46,86,38,5,9,30,25,27,40,30,0,0,0,0,88,84,86,89,91,95,98,99,101,103,99,114,113,56,35,76,34,0,5,15,18,19,32,34,0,0,0,19,103,91,92,94,93,92,92,94,94,89,96,108,94,44,27,65,28,0,0,9,12,14,24,32
17,161,162,164,165,167,169,171,171,172,172,174,176,176,176,177,178,179,180,182,181,181,182,183,182,183,183,182,183,160,162,164,165,166,170,171,171,172,174,175,176,176,176,178,179,181,182,183,185,183,186,184,183,184,183,184,184,160,163,164,167,170,170,171,172,173,175,175,178,179,179,179,181,182,183,176,170,181,159,179,185,185,184,185,185,162,163,165,168,170,171,173,174,174,176,177,178,178,180,180,183,182,185,180,140,135,121,149,193,185,185,186,185,162,164,166,168,171,173,174,175,176,177,180,180,180,181,183,184,182,186,199,159,112,102,153,194,185,187,187,186,163,165,167,170,171,173,176,175,177,179,179,179,181,182,183,184,184,184,202,169,125,89,165,193,185,188,187,187,164,165,168,170,171,174,175,176,177,178,179,182,182,184,186,185,187,184,202,182,141,99,180,191,188,188,187,187,164,167,169,170,172,173,176,177,179,179,179,181,184,168,171,192,186,185,206,183,145,123,193,189,191,189,189,188,165,169,170,171,172,175,177,178,179,181,180,180,186,171,133,163,193,191,206,178,144,132,194,190,190,190,190,189,165,168,170,172,173,175,176,178,179,178,178,181,193,177,157,138,165,187,204,178,141,127,193,190,191,190,190,190,166,169,171,171,173,176,178,176,184,187,159,141,181,194,191,186,147,119,169,175,147,129,192,191,192,192,191,190,167,169,170,173,176,177,179,177,196,197,157,130,172,178,201,196,173,120,120,155,140,126,192,191,192,191,191,191,166,169,171,174,176,177,178,184,187,171,182,153,158,137,158,209,191,147,105,129,128,120,191,193,192,192,191,191,168,170,172,174,175,177,177,187,197,152,149,141,110,98,103,211,204,168,113,109,114,113,190,193,193,193,192,192,168,170,172,174,176,178,177,193,183,146,131,142,116,115,113,197,215,181,130,105,113,109,186,196,193,193,193,193,168,171,173,176,177,179,177,196,190,173,158,149,130,147,135,180,222,182,145,107,111,108,179,197,192,194,194,194,169,171,174,176,177,178,180,203,182,159,153,145,140,162,164,198,204,184,156,113,104,106,181,197,194,194,194,194,169,171,174,176,178,179,187,200,167,151,147,146,156,158,209,218,183,173,155,111,99,100,183,199,195,195,194,195,169,171,173,176,180,178,193,203,172,159,148,150,156,186,225,211,185,164,147,112,96,101,187,197,196,195,194,194,170,171,174,177,180,177,198,206,177,164,147,152,163,214,212,203,181,159,141,109,96,112,199,194,196,195,194,195,170,172,176,177,180,176,204,204,180,173,154,154,185,224,207,200,174,148,136,108,91,140,204,193,195,196,195,195,170,172,176,179,181,175,211,203,185,179,167,155,196,220,199,197,176,140,128,106,96,178,199,194,196,196,195,195,170,173,177,179,182,177,213,209,188,189,179,161,195,212,194,189,175,140,121,98,119,202,194,196,196,196,195,195,171,174,177,179,181,177,207,214,193,193,182,172,182,207,190,188,166,137,116,93,160,203,194,196,195,195,196,196,170,174,178,179,182,178,198,217,197,187,178,180,178,197,184,192,171,131,113,96,181,201,196,197,196,196,196,196,171,175,177,178,182,181,193,215,194,185,174,177,181,188,179,194,174,132,110,104,193,198,197,198,198,197,197,197,172,174,176,178,182,180,195,210,191,185,173,174,180,186,176,192,164,132,107,131,204,196,197,198,198,197,197,197,170,173,176,179,183,180,198,212,200,186,178,180,184,185,172,188,151,125,103,168,203,196,198,198,198,197,197,197
22,16,51,69,69,74,76,79,90,103,112,118,121,124,127,130,133,137,137,138,143,143,142,144,142,142,143,142,141,15,56,69,70,74,78,80,90,104,114,120,122,124,128,131,134,137,138,143,127,138,145,145,146,144,144,143,141,17,60,69,72,75,79,80,92,106,116,120,124,125,130,134,137,137,140,156,88,117,152,140,134,148,145,144,143,21,64,70,72,75,79,81,93,107,116,122,124,129,129,136,139,137,147,157,85,123,156,125,92,148,146,146,145,25,65,70,73,77,80,83,95,107,117,120,139,140,88,136,140,138,157,157,83,131,164,115,93,153,147,147,147,31,67,70,74,77,80,84,96,109,121,122,141,130,71,131,143,139,165,152,85,141,170,110,105,158,150,149,148,36,70,72,75,78,81,85,97,111,121,125,134,136,77,122,147,141,162,138,86,151,170,103,122,157,151,151,150,42,72,72,75,79,81,86,100,111,122,128,131,140,85,107,150,145,155,124,82,158,164,91,134,158,152,152,152,45,72,73,76,80,83,87,101,112,123,129,130,142,99,92,148,148,151,113,86,172,144,82,147,158,155,155,155,50,73,73,76,80,82,87,101,115,124,129,128,142,105,73,136,151,138,106,89,178,124,89,158,157,157,157,156,55,74,73,77,80,82,88,103,115,125,130,128,144,132,82,120,148,124,92,103,178,106,100,163,156,159,158,157,60,73,74,76,80,83,88,104,115,124,130,129,144,156,94,92,132,122,108,151,164,91,114,165,158,159,159,159,65,74,74,76,80,83,90,105,116,125,131,142,120,127,83,83,117,140,166,171,142,82,132,166,159,160,160,160,68,74,74,77,80,83,90,105,116,124,136,151,118,105,86,100,123,155,173,163,129,79,148,165,162,162,162,161,70,74,75,78,81,84,91,105,115,125,134,139,153,153,118,75,97,136,156,156,127,78,156,165,163,163,163,163,72,73,74,77,81,83,91,107,118,127,134,148,163,169,115,80,78,104,125,135,113,77,156,168,165,164,164,164,73,74,75,77,81,83,92,107,119,129,130,164,151,133,123,107,83,82,90,93,100,75,147,170,166,166,166,166,74,74,76,77,82,85,92,108,119,129,132,163,149,122,136,130,106,87,81,72,85,73,139,173,167,168,166,166,76,75,75,77,80,84,92,108,119,129,130,166,162,135,126,137,128,119,97,72,73,71,136,175,168,170,169,168,75,75,74,77,80,83,94,109,120,131,131,166,168,143,129,177,138,129,100,77,75,70,138,176,169,170,170,169,75,74,74,76,80,83,94,109,122,131,133,156,180,137,145,197,143,119,97,83,81,73,144,176,170,171,170,170,75,75,75,77,80,83,94,110,121,131,134,148,174,127,155,182,144,117,98,90,82,76,154,176,172,172,172,172,75,75,75,76,80,85,96,110,120,131,134,141,161,131,151,168,149,128,99,88,84,79,155,175,172,173,173,173,76,75,76,78,80,85,97,110,121,130,136,138,151,148,152,160,143,122,99,85,84,80,155,177,174,175,176,176,75,74,75,78,81,84,97,111,122,131,136,137,146,158,144,145,136,104,92,86,82,74,152,180,175,176,176,176,76,74,74,76,80,83,98,111,122,132,135,137,145,155,135,127,131,96,92,89,81,65,142,182,175,177,176,175,75,73,73,75,78,83,96,110,122,131,134,138,146,147,120,126,146,132,113,91,82,64,119,182,173,176,175,175,74,71,72,75,77,81,94,109,121,130,134,138,144,150,150,156,155,143,130,99,78,67,87,173,173,175,175,174
11,114,119,125,132,137,140,145,148,151,153,155,159,171,145,159,159,158,159,158,158,158,157,156,155,141,161,171,178,118,124,131,137,141,145,150,153,157,159,159,164,186,113,156,163,161,161,160,159,158,157,156,154,152,174,178,182,122,127,136,144,148,152,157,160,162,164,165,171,204,109,141,169,165,164,164,163,162,161,158,156,171,127,178,184,127,132,142,149,154,157,162,166,169,172,172,179,208,106,128,177,171,170,169,168,167,166,164,161,164,167,187,184,130,137,147,155,160,163,169,174,176,178,179,186,203,101,130,183,177,176,175,174,173,172,170,167,165,169,145,177,133,140,152,161,166,170,175,180,182,185,185,196,207,104,137,190,183,183,182,181,179,177,174,171,170,164,146,181,137,145,157,165,171,176,181,185,188,192,190,216,201,90,152,196,190,189,189,187,185,182,180,178,175,173,169,187,141,149,163,171,176,181,186,191,194,197,196,231,198,87,171,201,196,195,195,193,191,189,186,183,181,177,175,196,144,153,167,175,181,185,192,196,199,200,205,210,135,89,179,205,201,199,199,199,197,195,193,189,187,183,180,199,148,158,170,179,186,192,196,200,203,203,231,203,105,83,186,209,205,204,204,204,202,200,198,195,191,188,186,200,151,160,174,183,189,194,200,204,211,208,149,165,134,94,195,212,209,208,208,207,206,204,201,199,196,194,186,201,154,165,178,187,192,198,203,212,244,204,101,94,148,103,188,217,213,212,212,210,209,208,206,203,204,174,104,205,156,168,181,190,195,200,210,172,171,180,133,91,137,107,166,221,215,215,216,214,212,211,210,208,210,120,62,125,159,170,184,192,197,218,229,161,99,117,160,105,107,111,133,223,218,219,218,217,212,200,187,184,175,81,67,60,160,173,186,195,220,223,193,186,149,96,132,111,89,124,101,215,223,222,216,209,208,188,167,163,137,81,67,64,162,175,188,221,224,161,121,157,177,112,88,99,79,146,126,186,225,216,215,214,210,181,151,130,104,69,60,62,164,177,191,230,201,140,103,86,164,115,80,102,67,139,156,113,178,218,224,201,164,127,85,56,54,54,52,59,165,179,191,220,178,120,86,64,133,123,87,114,70,103,147,119,181,210,191,140,96,70,46,47,47,46,51,48,166,180,189,210,174,125,97,78,97,130,98,131,99,152,162,141,169,165,119,69,47,60,56,39,42,45,54,25,165,180,189,214,192,143,110,89,87,107,122,153,145,196,160,122,132,94,46,52,42,45,58,49,34,36,37,33,167,182,191,218,199,154,128,97,98,111,169,213,216,186,140,114,85,53,37,40,51,40,46,53,42,34,31,34,168,182,193,218,205,170,138,105,114,121,196,222,201,165,123,94,31,36,52,32,46,49,38,42,48,34,31,32,160,171,183,209,204,178,143,118,125,126,189,208,176,138,110,79,30,20,51,45,34,47,43,35,39,41,26,31,115,117,115,159,201,185,151,134,130,129,168,194,165,126,98,57,46,13,37,52,40,38,44,36,30,40,29,24,115,115,114,128,192,188,159,145,134,121,155,175,152,113,64,30,55,18,22,48,46,41,38,36,28,31,34,21,116,117,117,121,190,186,164,150,133,110,138,140,118,79,32,22,53,34,10,37,49,40,37,35,29,26,28,28,116,117,118,120,191,194,169,148,129,112,118,117,83,30,31,26,44,48,13,22,47,42,34,36,32,27,24,25,116,117,118,112,179,191,154,134,123,113,114,103,62,25,10,30,36,53,28,11,37,44,32,33,33,26,25,20
14,183,184,184,185,184,185,185,185,185,184,184,185,185,185,185,183,182,181,179,179,177,177,176,175,174,172,170,169,186,187,187,188,188,187,188,189,187,187,188,188,188,188,187,186,186,183,182,182,180,180,179,177,176,175,173,172,188,189,190,190,190,189,190,190,189,189,189,190,190,189,190,190,188,187,187,186,184,183,182,181,180,179,176,175,191,193,191,192,194,194,194,193,193,192,192,194,193,191,182,173,182,185,182,181,180,184,187,182,183,181,180,179,194,195,194,195,196,196,196,195,195,194,196,196,194,187,172,153,159,163,156,160,153,126,160,191,186,183,181,180,196,197,197,197,198,198,198,198,198,196,194,176,172,182,187,183,177,161,120,130,148,122,95,143,189,188,184,182,198,199,199,199,200,200,198,199,200,198,196,194,190,194,194,185,175,162,145,117,127,135,110,106,144,175,187,185,201,201,201,201,201,201,201,200,200,199,198,184,167,158,146,130,109,111,142,147,147,152,108,111,135,112,180,190,202,202,203,203,203,203,203,202,203,202,196,167,162,164,136,107,88,87,86,115,132,116,85,73,95,71,99,184,203,204,204,204,204,205,204,205,202,186,187,196,193,175,152,134,133,154,112,158,173,152,171,127,75,63,62,111,207,207,206,206,206,206,207,207,200,189,192,185,171,141,121,113,111,106,115,198,204,203,201,207,158,63,75,84,208,208,207,208,208,207,209,209,196,188,179,149,115,67,50,51,52,88,191,205,202,202,203,195,106,90,103,97,208,209,209,209,209,209,208,207,197,185,136,86,54,44,49,50,42,144,213,204,205,203,209,142,93,119,113,87,209,211,211,210,212,211,211,207,199,178,120,67,53,55,58,63,54,167,211,207,206,207,187,101,110,118,105,77,212,212,212,212,213,213,213,206,197,172,119,61,58,59,57,58,53,189,213,208,207,213,134,91,109,110,84,124,214,213,214,214,214,215,216,206,198,159,93,61,72,58,54,54,44,165,221,209,213,186,99,92,99,98,77,182,215,215,215,215,215,216,214,202,197,156,104,85,70,57,57,52,42,62,157,211,206,112,101,106,94,71,139,207,217,217,217,217,215,217,211,201,200,169,118,89,65,58,62,62,63,63,65,119,120,84,103,104,84,107,206,203,217,218,218,218,217,218,212,198,199,165,120,93,65,60,69,77,80,84,88,90,79,91,103,92,85,190,210,205,218,219,218,217,218,218,211,192,194,166,136,96,62,62,72,85,87,92,98,107,103,89,106,80,150,215,208,206,218,219,219,218,218,221,213,187,191,173,137,96,71,60,73,90,93,93,99,113,112,98,85,88,204,213,210,208,218,219,220,220,221,222,213,190,197,176,145,113,81,60,75,93,95,98,106,118,118,101,71,148,218,212,210,209,220,220,221,223,222,222,212,193,200,174,141,110,88,63,72,96,97,102,112,120,113,87,102,216,215,213,212,210,222,223,223,223,223,224,211,195,196,165,136,113,93,72,65,97,97,102,115,115,104,70,155,222,215,215,213,211,222,222,223,223,222,225,209,193,192,160,131,117,96,78,63,88,96,101,110,107,89,78,206,218,215,215,213,213,221,221,222,223,222,225,205,187,187,156,132,118,95,79,64,81,96,96,98,94,64,151,224,217,216,215,214,213,222,222,223,223,223,225,206,182,178,155,130,108,90,78,67,75,90,91,89,71,105,215,217,216,215,214,212,212,223,223,224,224,223,226,203,179,172,152,125,105,91,79,69,74,83,85,73,90,206,222,217,216,216,215,214,211
17,139,142,144,145,147,147,149,149,150,150,151,152,153,155,156,156,156,158,158,157,158,159,159,159,159,161,160,161,141,142,144,146,147,147,149,150,151,152,153,154,155,155,157,157,159,160,159,159,160,160,160,160,161,160,161,161,141,142,144,146,148,148,149,150,153,153,154,155,155,156,158,158,160,160,162,162,161,164,161,161,162,161,162,162,140,142,145,148,149,149,150,151,153,154,154,157,158,158,159,160,161,155,135,150,126,142,167,162,163,163,162,163,142,143,145,148,150,150,152,153,154,155,156,157,158,160,160,161,163,165,130,102,98,117,170,162,164,163,163,163,143,144,147,148,150,152,153,154,156,157,158,159,159,160,161,162,161,178,148,102,78,127,170,163,165,165,164,163,143,145,147,150,150,152,154,154,156,157,157,159,159,160,161,163,161,178,156,118,73,136,172,164,165,165,164,164,143,146,147,149,152,153,155,155,156,157,159,160,162,164,162,164,161,179,167,131,86,154,169,165,165,165,164,164,145,147,148,150,151,153,155,156,157,157,158,162,151,144,168,164,161,182,166,132,103,165,168,167,165,167,167,165,146,148,149,151,153,155,155,157,159,159,159,163,155,119,132,168,168,184,161,131,105,166,168,167,167,167,167,166,146,148,150,151,153,154,156,157,157,156,157,171,159,140,119,137,155,178,163,131,103,165,169,168,168,168,168,167,147,149,150,151,154,155,154,161,168,145,119,150,172,167,168,136,97,132,154,133,105,163,170,169,169,169,168,167,147,148,150,154,155,156,154,170,176,145,111,148,155,174,177,158,112,93,131,125,101,159,172,169,170,169,168,169,147,149,152,154,155,156,158,169,148,162,138,136,122,124,182,172,138,92,103,112,95,157,174,170,170,169,168,169,148,150,152,154,155,156,159,177,136,126,124,92,86,76,176,184,156,104,88,97,89,155,174,170,171,170,170,170,148,150,152,154,157,156,166,166,131,116,123,101,97,95,158,197,165,123,88,96,86,148,176,169,171,171,171,170,148,150,153,156,158,155,170,171,153,140,132,113,122,124,142,202,166,135,95,93,89,141,177,170,171,172,172,171,148,150,153,156,158,155,178,165,139,134,128,120,138,142,169,184,166,143,103,88,83,142,178,171,172,172,172,171,149,150,153,156,158,161,179,151,134,128,125,134,135,176,199,167,154,141,102,84,76,141,178,171,173,172,171,172,149,151,154,157,157,164,183,155,142,130,129,136,153,199,190,170,147,133,101,81,77,149,177,171,173,172,172,172,149,152,156,158,156,168,186,159,147,130,131,138,179,195,180,166,141,127,97,83,81,164,174,171,172,173,172,172,150,153,156,158,154,173,187,162,154,138,130,155,195,190,177,160,132,123,96,78,101,178,171,172,173,173,173,171,151,153,157,159,154,179,189,164,159,152,133,163,197,181,174,161,128,113,95,73,135,180,172,173,173,172,172,171,151,154,157,159,155,179,194,168,166,162,143,163,190,173,167,158,130,104,89,84,167,175,173,174,173,173,173,172,152,155,157,159,155,173,195,174,170,164,153,154,183,169,167,151,127,103,80,114,182,171,173,173,172,173,173,172,151,154,157,159,157,166,194,179,168,159,158,154,171,165,167,157,123,101,77,131,182,171,173,173,173,173,173,173,152,155,156,158,161,163,190,176,165,155,154,158,165,157,168,160,123,99,79,148,181,173,174,174,174,174,174,173,152,154,157,159,160,164,189,170,165,154,151,156,164,154,167,153,119,96,93,171,176,174,174,174,174,174,174,174
15,103,116,128,133,135,141,151,160,166,172,178,182,187,189,193,197,200,205,207,211,214,216,218,219,222,223,224,226,106,117,129,134,136,141,152,160,166,173,179,183,187,190,194,197,202,205,208,212,216,218,219,222,224,225,226,228,107,119,129,134,138,145,153,161,168,176,180,183,187,191,196,200,205,207,213,215,217,218,222,224,225,226,227,229,109,121,133,137,140,148,155,163,170,175,179,185,189,193,197,202,205,209,214,215,216,220,223,225,226,227,228,230,109,121,130,135,140,146,155,165,170,176,181,185,189,194,198,201,206,208,212,215,219,222,224,226,226,227,230,230,121,129,142,144,146,157,164,169,165,171,176,180,188,194,198,201,206,213,217,216,220,224,226,229,229,230,230,232,164,148,155,157,159,174,183,186,192,189,178,174,176,178,191,191,184,185,197,220,224,223,228,230,231,231,232,233,141,115,123,135,153,172,177,188,210,201,189,191,196,206,200,201,202,172,152,141,201,232,225,231,231,233,233,234,100,97,107,111,120,137,146,166,201,211,209,210,210,215,220,200,196,219,160,119,105,189,237,229,231,233,233,234,116,132,136,135,138,142,149,151,162,180,200,226,230,192,196,206,157,229,158,122,141,114,189,239,227,233,233,234,115,127,136,138,146,155,159,172,161,138,147,154,188,185,161,173,145,235,164,107,161,169,94,198,235,230,233,235,117,130,137,138,145,152,159,197,151,125,113,127,168,179,135,128,135,185,159,133,159,172,108,96,229,232,231,232,117,130,136,138,146,148,177,215,126,110,123,149,187,177,140,125,137,123,124,142,163,146,95,63,132,245,228,232,118,130,136,138,145,152,170,230,144,109,149,165,183,166,134,128,130,129,128,147,165,161,99,69,60,160,242,236,118,131,137,138,146,150,192,236,229,179,150,132,138,129,106,107,111,124,142,157,162,157,110,74,71,65,143,231,118,130,136,139,145,148,207,238,220,232,196,125,60,54,55,47,54,82,122,146,139,130,101,85,85,76,61,105,117,130,135,138,146,151,181,234,223,199,209,221,117,16,30,21,27,37,76,132,141,133,121,118,102,87,80,70,103,110,118,122,129,132,139,208,227,197,188,229,128,40,31,24,38,29,72,149,162,159,152,142,121,95,84,83,77,81,83,82,87,82,96,231,216,193,177,174,82,49,36,29,44,40,57,124,152,156,154,143,123,98,82,90,88,88,89,90,93,94,96,196,234,202,154,144,118,56,38,40,45,56,69,87,118,131,139,133,119,98,86,88,89,88,89,92,93,97,93,107,167,190,169,152,141,81,48,48,43,54,74,79,95,122,129,121,105,98,93,89,89,90,91,92,93,95,97,94,95,103,105,106,95,86,60,53,42,49,72,85,74,102,118,114,104,99,96,95,90,89,92,93,94,92,95,96,96,99,98,97,96,103,98,80,78,70,84,101,89,89,107,103,97,90,91,95,88,89,89,92,94,94,97,97,97,101,103,103,105,115,122,142,137,115,135,146,153,141,132,123,96,83,101,106,88,88,89,90,93,95,96,96,97,99,100,102,102,101,100,134,123,152,189,191,182,173,153,137,109,106,130,127,87,88,89,90,93,95,95,95,97,101,101,101,102,103,101,99,100,121,152,166,174,147,124,110,119,129,133,153,87,89,90,90,92,93,96,96,97,98,99,100,100,99,101,103,104,105,97,116,130,110,128,139,129,118,136,170,87,88,90,91,92,92,95,95,95,95,97,98,98,100,101,102,103,104,104,104,101,122,149,152,118,126,148,172
11,93,98,102,104,108,110,113,115,116,119,120,121,122,125,126,127,128,129,131,131,132,133,133,133,133,132,133,132,94,99,104,106,109,111,113,115,117,120,121,123,124,126,128,128,129,130,131,133,134,135,134,134,134,134,134,134,95,99,104,108,110,112,114,116,119,120,122,125,126,128,129,129,133,133,133,134,135,135,135,135,135,135,135,135,95,100,105,108,111,113,115,117,119,120,123,125,127,128,129,130,117,130,134,135,135,135,135,136,136,136,136,136,96,100,105,108,111,113,115,118,121,123,125,127,128,129,129,137,96,97,140,135,136,136,137,138,138,137,136,136,96,100,105,109,112,114,116,118,121,124,126,128,128,130,129,143,98,87,142,135,137,138,138,138,137,137,137,137,97,101,106,110,113,114,117,119,121,124,127,128,129,131,131,146,82,97,143,136,138,138,139,139,138,138,138,138,98,102,106,110,114,115,117,120,122,125,127,128,130,129,137,145,77,110,143,138,139,140,139,140,139,139,139,138,98,103,108,110,114,116,118,121,122,124,127,128,129,130,147,124,73,123,142,139,140,140,140,140,139,140,139,139,98,103,108,111,114,116,119,121,123,125,127,128,128,129,146,91,75,137,139,138,139,140,140,140,140,140,140,139,98,103,107,111,115,117,119,121,125,125,124,135,144,97,93,77,90,144,137,139,140,140,141,140,140,140,140,139,99,103,107,111,114,116,123,121,113,140,122,97,121,96,68,66,117,143,138,140,141,140,141,141,141,141,141,140,99,104,109,110,120,146,146,128,74,110,121,71,96,92,61,63,136,140,139,141,141,141,141,141,142,141,141,141,99,104,107,115,142,122,133,130,73,101,105,69,117,87,49,79,146,138,140,141,141,141,142,143,143,142,141,140,100,105,105,126,123,101,115,125,72,100,89,76,115,74,43,97,147,138,140,140,141,142,142,143,142,143,142,140,100,105,109,139,115,84,95,114,64,90,74,83,100,64,43,107,145,138,139,140,143,144,144,142,141,143,142,141,101,102,122,145,116,89,95,82,61,86,59,89,89,54,37,110,148,139,141,140,136,132,134,145,146,143,143,142,102,101,141,139,113,93,82,72,74,79,44,108,72,40,47,86,137,135,131,127,121,115,100,102,136,146,142,143,101,105,152,132,111,97,80,64,92,67,30,77,65,71,92,90,111,128,132,127,115,99,92,84,78,140,144,143,100,108,147,132,118,104,85,77,86,90,101,107,118,119,110,115,126,117,102,93,90,105,121,114,97,137,145,143,100,106,141,134,123,111,91,91,112,131,124,122,120,117,104,99,97,80,98,124,140,148,148,147,147,145,144,144,100,107,150,137,124,111,92,97,123,127,114,121,116,106,81,71,87,124,147,146,144,143,143,144,144,145,145,144,99,114,156,126,115,99,91,98,115,115,115,112,100,71,64,106,141,146,142,143,143,144,145,145,145,145,145,145,95,125,139,106,104,97,97,101,101,105,106,88,61,73,125,144,140,141,142,143,143,144,145,145,144,145,145,144,93,131,134,108,104,111,103,103,92,91,82,57,93,137,139,136,139,140,140,140,141,142,143,143,143,141,142,144,97,140,140,109,103,124,107,97,82,74,59,103,139,134,134,136,138,139,139,140,141,141,142,143,143,154,158,160,101,146,141,105,105,126,105,88,72,53,89,137,130,134,135,136,137,138,139,140,140,140,143,141,160,168,167,157,101,147,142,100,106,123,103,88,62,53,122,129,130,133,133,135,137,137,138,140,140,141,142,142,135,113,145,156
10,131,138,150,168,175,181,185,187,188,191,192,194,193,195,195,195,194,193,193,191,192,191,187,186,186,185,182,180,131,139,152,169,176,183,186,188,190,192,194,195,195,196,196,197,197,196,194,195,182,181,192,188,187,185,184,182,132,140,153,170,178,184,187,190,191,194,196,197,198,198,198,198,198,198,196,202,169,142,195,190,190,187,185,184,133,141,155,171,180,185,189,191,192,195,197,198,199,200,201,200,200,200,198,204,173,134,190,193,191,190,187,186,135,142,156,172,180,186,191,193,194,196,199,200,201,202,202,203,202,202,200,205,170,131,187,197,193,192,190,188,135,143,157,174,181,188,193,194,196,198,200,201,203,203,204,204,204,204,203,206,170,130,188,200,196,195,193,191,137,144,159,175,183,189,194,195,196,200,202,203,204,204,205,207,205,205,204,210,176,132,188,202,197,197,194,192,138,144,159,175,184,190,194,195,197,202,204,204,205,206,207,208,208,206,206,211,172,128,188,203,198,197,195,193,138,145,160,176,184,190,194,196,198,202,205,205,207,207,208,209,210,209,211,195,144,125,190,204,199,199,197,194,139,145,161,176,185,191,195,197,199,203,205,207,208,209,209,209,207,198,213,180,120,131,197,205,202,200,198,195,140,146,162,176,185,191,196,198,200,204,207,208,209,210,213,214,203,175,167,158,122,119,203,204,203,201,198,196,140,147,163,177,186,192,197,198,201,205,208,209,210,210,198,204,213,198,160,121,124,114,189,208,203,202,199,198,141,148,165,177,186,193,197,199,202,206,209,210,213,207,171,149,148,173,134,113,127,111,159,215,202,203,201,199,141,149,166,177,187,193,197,200,203,206,209,207,201,212,188,156,94,100,100,135,139,108,151,216,203,203,202,200,142,149,166,178,188,194,198,201,203,206,211,200,164,173,203,168,113,97,100,154,173,117,143,215,204,205,203,201,142,149,167,178,188,194,199,202,204,207,212,207,191,156,189,176,133,97,105,155,189,132,134,214,207,205,203,202,142,150,167,179,188,194,199,202,205,208,211,191,197,170,163,174,138,94,116,174,188,141,120,207,209,205,204,202,142,150,167,179,188,194,199,202,205,208,215,190,167,160,131,166,147,112,144,187,173,138,117,205,210,207,205,202,143,149,167,180,188,194,200,202,205,209,213,195,163,151,135,158,181,140,159,190,151,122,127,213,210,208,205,203,143,150,168,180,188,195,200,202,205,209,210,211,188,152,147,148,178,140,161,180,145,110,140,218,208,208,206,204,142,151,169,179,188,195,201,203,206,209,209,213,199,172,152,141,178,179,177,164,143,104,154,222,209,208,207,205,140,150,168,178,187,195,200,201,204,209,210,205,198,182,166,153,190,205,179,154,138,103,170,220,208,207,205,204,140,149,167,176,186,194,199,200,204,207,211,198,191,184,175,163,184,197,171,146,130,100,187,216,208,206,204,203,139,148,167,176,186,193,198,200,204,208,211,209,191,188,179,163,175,186,162,138,115,109,208,210,208,207,204,203,136,145,164,173,184,191,197,199,203,206,209,212,199,185,174,159,159,169,149,130,101,146,219,208,208,206,205,203,146,155,172,180,189,196,200,203,206,209,211,213,213,190,168,156,152,160,153,129,102,185,214,206,205,203,201,199,168,171,174,174,169,168,168,167,167,166,166,162,173,198,173,171,163,161,156,125,108,143,147,144,142,142,142,135,141,140,140,140,140,140,141,141,142,141,141,139,148,202,187,182,167,160,145,122,108,130,132,130,129,124,98,83
12,146,146,146,146,146,147,147,146,146,144,142,142,142,141,141,141,139,139,138,136,135,133,132,132,132,132,129,128,149,149,148,148,148,148,149,148,147,146,145,145,144,143,143,142,141,140,140,139,139,137,135,134,134,134,132,131,151,151,150,150,151,151,151,151,151,149,148,149,146,146,145,143,145,144,143,141,141,140,139,137,135,135,134,133,154,154,153,153,153,154,153,154,155,153,151,151,149,149,148,151,146,146,146,149,145,140,141,139,139,136,135,135,155,155,155,155,155,155,155,155,155,155,153,154,151,139,111,121,152,147,137,124,134,149,142,141,141,140,138,138,159,157,156,156,159,158,157,157,157,156,156,155,155,141,116,70,125,149,125,97,68,128,152,145,144,142,141,140,161,160,158,159,161,161,160,158,159,158,157,155,164,158,132,99,68,117,142,110,64,75,153,133,145,147,143,142,162,161,160,161,161,161,161,161,161,161,158,162,167,170,145,119,68,66,152,118,83,51,81,97,84,134,148,143,162,163,163,163,163,163,164,164,162,163,165,164,149,160,152,117,89,49,134,124,96,44,39,91,61,74,155,145,165,165,165,164,163,163,165,166,164,152,144,156,146,151,146,112,77,33,120,124,96,43,33,82,58,34,144,150,165,165,165,164,165,165,166,163,162,137,100,111,140,133,141,99,61,38,132,116,88,37,31,75,53,28,142,153,167,167,167,166,168,169,166,158,163,144,125,103,101,92,143,109,72,51,140,105,80,34,44,85,55,44,158,151,169,168,169,168,171,170,167,164,164,158,144,132,81,58,144,142,87,61,140,108,73,38,79,98,45,83,165,152,170,171,171,170,171,169,171,156,134,155,155,138,106,69,139,140,84,65,154,131,75,66,106,86,37,124,162,153,172,172,172,171,172,168,172,158,106,114,154,141,114,62,87,117,62,86,167,126,68,95,130,88,44,147,159,155,173,174,175,174,173,171,177,175,140,67,95,136,91,49,28,45,21,49,130,107,59,124,143,82,89,164,156,158,175,174,176,177,174,174,167,149,119,76,49,118,74,50,35,38,26,47,81,53,58,169,138,68,91,172,158,160,176,175,176,178,175,170,172,160,140,109,57,87,88,69,56,54,55,112,139,117,114,123,95,42,45,170,160,160,177,176,177,177,176,167,178,172,148,105,69,70,97,91,62,61,123,146,149,131,137,112,50,27,50,168,161,161,178,178,178,178,178,166,178,179,154,116,97,78,88,98,80,128,173,165,160,126,123,115,70,27,91,176,160,162,178,177,178,179,179,167,175,180,157,132,106,92,90,113,155,173,180,173,158,123,111,100,61,28,140,171,163,162,180,179,180,180,180,169,169,174,157,136,107,98,95,129,179,176,176,165,144,115,99,84,49,44,170,167,165,163,181,182,182,181,182,170,163,166,159,136,107,106,99,142,182,174,170,154,129,110,90,74,31,88,180,165,167,166,183,183,183,182,185,171,162,167,157,135,111,110,105,156,176,174,162,139,120,106,83,58,36,156,174,168,168,167,184,184,183,182,185,175,161,164,162,144,120,107,105,161,169,169,154,129,111,95,76,32,79,183,169,170,169,168,184,184,184,184,186,181,163,163,162,153,128,105,102,155,161,157,140,119,99,80,62,25,143,179,172,172,171,169,185,185,183,184,186,184,163,163,160,147,121,105,101,138,150,141,124,101,82,66,30,65,183,172,176,173,171,171,185,184,184,186,187,183,164,162,156,140,116,105,103,127,139,129,111,90,67,49,26,148,181,174,175,174,172,172
4,177,177,177,177,178,179,179,177,179,179,178,181,180,180,180,180,180,180,180,179,182,180,177,177,178,177,176,176,178,179,179,179,179,180,180,180,180,181,180,181,180,180,180,180,181,181,180,180,180,180,180,180,179,180,178,177,180,181,181,180,180,181,181,181,181,181,180,180,180,182,184,182,182,183,186,183,181,181,181,181,180,180,180,178,180,182,182,181,182,182,181,181,182,183,183,183,183,170,162,178,181,165,161,183,185,184,181,181,181,181,181,179,181,182,183,182,182,183,183,182,182,182,174,180,210,187,150,143,191,166,130,131,180,171,184,185,183,183,182,181,182,182,182,184,183,183,185,185,183,194,190,165,168,214,174,130,196,188,144,99,157,134,124,184,186,183,182,182,183,182,182,183,185,186,186,184,188,206,205,178,130,195,186,120,190,195,145,132,186,153,93,127,193,182,184,183,183,185,186,186,186,187,188,183,197,187,198,180,127,172,188,104,170,198,132,136,191,152,103,105,193,185,186,185,184,186,186,187,187,187,186,188,207,164,187,184,114,153,193,122,138,178,116,144,198,171,103,118,196,185,187,185,184,186,186,187,188,188,184,197,192,135,149,190,125,132,194,171,159,160,164,187,203,175,115,133,198,186,188,186,186,186,186,187,189,188,188,201,192,165,141,166,125,107,138,170,171,171,185,187,184,159,139,110,188,189,189,188,186,186,186,187,189,187,198,199,183,168,142,121,95,97,112,109,144,152,158,169,159,145,161,98,155,198,188,189,186,187,187,187,189,188,200,189,162,139,133,117,95,103,123,90,120,125,127,139,128,160,167,115,115,199,188,189,186,187,188,188,190,189,203,192,162,130,111,107,101,114,119,117,149,146,124,92,149,197,174,143,95,175,195,189,186,188,188,189,190,189,210,205,176,142,112,95,101,121,112,147,169,162,137,151,166,193,188,169,106,129,202,188,186,187,188,188,189,192,209,208,183,145,111,100,101,123,135,173,161,169,178,195,192,181,194,162,115,103,197,191,185,186,187,188,187,193,210,209,193,146,112,113,105,111,143,161,169,189,195,188,191,176,164,145,120,94,183,194,186,186,188,188,187,193,212,206,198,148,119,133,119,124,152,165,186,193,190,184,178,168,141,125,109,106,190,192,186,187,187,188,187,196,207,205,187,153,149,138,125,164,183,193,199,194,186,175,164,150,128,106,93,166,196,191,186,187,187,188,187,196,208,205,191,171,161,142,125,180,199,198,203,192,178,165,154,136,116,88,140,198,192,193,187,188,188,189,188,190,210,203,201,184,161,160,133,170,201,198,198,183,163,154,145,126,99,110,193,194,194,193,187,187,187,188,189,182,203,205,207,191,171,163,146,167,200,194,188,173,154,143,129,113,91,169,200,193,194,192,190,191,191,191,193,183,194,204,196,182,173,161,152,165,190,185,175,162,143,133,119,92,124,200,193,194,194,193,168,172,176,176,180,174,191,206,188,173,173,165,154,163,174,173,160,146,132,126,109,94,185,203,200,199,199,199,106,108,107,109,114,103,178,206,184,179,180,172,157,162,171,168,156,134,122,118,94,117,171,168,174,176,171,170,103,103,101,102,105,90,171,208,186,185,181,172,158,163,174,173,155,121,112,104,96,101,102,102,95,97,125,137,105,104,106,106,109,93,172,213,188,185,184,180,160,159,174,170,138,109,103,93,101,104,100,103,136,161,193,207,104,104,105,106,110,92,168,216,189,186,191,193,162,147,171,158,121,104,96,98,115,117,138,173,214,200,162,182
1,196,199,204,207,211,212,212,215,216,216,218,216,218,222,217,218,218,218,219,219,220,219,220,218,217,218,217,215,200,204,208,211,215,217,217,219,219,221,221,227,212,205,225,220,222,222,222,221,223,223,223,222,221,220,219,219,204,209,212,216,218,220,220,222,223,225,217,241,222,138,232,233,227,228,226,225,227,228,228,228,226,224,223,223,209,212,216,220,222,225,225,226,224,249,224,183,237,123,193,204,233,232,231,231,231,231,232,231,230,229,228,227,211,216,218,224,227,228,229,233,227,255,226,155,238,126,138,148,193,245,233,234,235,235,236,233,232,234,232,230,214,218,223,227,231,231,232,236,232,255,235,158,242,159,144,176,143,251,235,237,238,238,239,236,235,234,235,234,217,222,228,230,232,236,237,242,228,249,255,156,235,196,133,192,128,227,243,242,242,241,242,242,240,239,237,237,222,226,230,234,235,239,238,251,241,168,255,169,202,210,139,210,160,194,255,243,245,246,245,245,244,243,242,239,226,230,234,237,240,244,240,255,246,137,255,184,174,221,159,227,210,159,251,246,247,249,246,246,246,245,244,241,230,234,237,239,243,247,242,255,250,144,254,198,176,246,186,192,240,153,226,255,251,252,250,249,248,247,246,243,232,235,239,241,245,248,245,255,255,156,254,242,172,250,201,164,255,186,187,255,251,254,255,254,252,250,249,247,234,238,242,243,248,251,248,255,255,154,237,255,158,204,207,146,255,221,162,255,255,255,255,255,255,254,252,251,237,241,244,248,252,255,250,255,255,182,186,252,122,175,224,129,236,238,157,234,255,255,255,255,255,255,255,253,240,243,246,252,253,255,254,255,255,205,138,243,197,206,213,221,246,195,160,200,255,255,255,255,255,255,255,255,241,245,248,253,254,255,255,255,255,187,149,220,255,214,194,255,239,176,177,146,255,255,255,255,255,255,255,255,241,245,249,254,255,255,255,255,255,223,239,180,228,218,222,255,209,174,187,135,222,255,255,255,255,255,255,255,242,247,251,254,255,255,255,255,255,251,239,178,182,239,255,255,249,209,161,137,171,255,255,255,255,255,255,255,243,249,254,255,255,255,255,255,255,225,214,182,212,255,255,223,239,255,228,162,131,255,255,255,255,255,255,255,244,249,254,255,255,255,255,255,255,217,190,208,242,218,197,148,217,255,255,228,148,240,255,255,255,255,255,255,245,249,254,255,255,255,255,255,255,239,185,188,171,167,160,230,254,255,255,223,168,181,255,255,255,255,255,255,245,249,253,255,255,255,255,255,255,255,184,197,206,232,255,255,255,255,248,205,137,175,255,255,255,255,255,255,245,250,253,255,255,255,255,255,255,255,207,206,225,236,255,255,255,255,232,198,122,185,255,255,255,255,255,255,246,251,254,255,255,255,255,255,255,255,242,213,239,222,255,255,255,255,221,186,118,204,255,255,255,255,255,255,247,251,253,255,255,255,255,255,255,255,255,225,255,213,255,255,255,255,208,170,116,223,255,255,255,255,255,255,247,251,253,255,255,255,255,255,255,255,255,247,255,222,243,255,255,241,201,160,113,233,255,255,255,255,255,255,247,255,255,255,255,255,255,255,255,255,255,255,255,237,207,255,255,236,190,150,113,251,255,255,255,255,255,255,156,162,167,175,180,184,187,194,189,233,255,255,251,230,192,250,255,218,172,140,128,250,255,255,255,255,255,255,130,128,129,131,130,131,134,136,124,170,255,255,237,217,186,213,242,200,158,137,136,150,200,255,255,255,255,255
4,197,199,200,201,201,201,203,203,203,202,204,204,204,205,205,204,204,203,204,204,204,204,204,203,204,204,203,202,199,201,201,202,202,203,204,204,205,205,204,204,206,206,206,206,207,209,206,206,206,206,206,206,205,206,206,205,202,202,202,203,204,205,206,205,206,206,205,204,204,207,210,200,181,189,209,207,209,206,207,207,207,207,207,207,203,202,203,205,206,206,207,207,206,205,208,194,180,190,230,207,180,142,201,212,209,212,207,209,208,207,208,208,204,204,205,207,207,208,207,208,208,211,231,206,199,170,224,217,190,155,162,191,179,190,214,209,211,208,210,210,206,207,206,208,209,209,208,207,199,203,230,229,198,172,194,227,187,164,122,183,178,144,194,216,211,212,212,211,207,208,207,210,211,209,209,216,211,202,176,220,213,180,172,228,193,162,117,187,188,149,141,219,212,214,213,214,207,208,210,211,212,209,214,229,222,212,152,155,219,174,151,227,201,159,112,187,191,155,124,210,216,214,214,215,209,210,211,211,212,210,219,211,206,198,145,134,191,171,148,192,181,141,113,192,188,150,121,209,219,216,216,216,210,212,213,213,213,212,219,212,190,198,142,120,191,180,159,161,147,115,110,190,173,129,131,217,218,216,217,217,211,212,213,215,215,212,216,219,181,191,157,124,176,190,186,173,173,150,118,159,150,121,135,223,217,219,218,218,211,212,214,214,217,215,216,230,212,180,167,128,137,201,208,210,200,185,146,121,134,119,147,228,217,220,219,219,213,214,215,216,218,217,217,230,214,186,150,117,112,172,204,209,209,183,147,114,120,114,164,230,218,219,219,220,213,214,216,218,218,215,219,229,197,165,150,134,117,108,155,196,199,177,151,126,118,112,176,231,220,221,221,221,215,216,218,218,217,215,222,222,193,167,148,133,121,119,123,145,183,183,167,137,122,108,179,230,220,222,221,221,216,217,218,218,218,217,223,229,206,178,157,144,133,127,145,131,182,205,181,150,130,107,188,230,221,223,223,221,216,217,218,219,219,218,225,228,205,167,147,143,134,125,151,184,216,218,202,170,141,110,179,234,222,223,223,223,216,218,218,219,220,219,227,227,199,172,153,142,148,137,171,218,230,222,216,181,151,123,145,234,222,225,224,224,218,218,219,220,221,221,227,224,201,173,159,150,169,147,195,232,235,219,201,173,152,129,147,234,224,225,225,225,218,218,219,220,222,222,227,222,203,176,167,169,167,160,213,233,229,215,195,163,148,122,168,236,226,227,225,226,219,219,221,221,222,221,224,221,201,182,174,173,164,165,220,232,217,198,185,152,137,117,194,233,226,227,225,225,219,220,222,221,222,223,222,218,197,180,165,182,162,166,220,229,205,182,171,143,129,124,218,230,226,226,224,225,219,221,223,222,224,224,221,215,200,179,183,198,159,167,224,221,195,172,156,136,125,145,234,227,228,228,228,227,219,222,222,222,224,225,223,211,201,188,182,197,165,167,225,201,183,162,144,132,119,180,237,228,229,229,229,229,220,221,221,222,223,224,224,215,206,191,179,192,168,171,214,188,172,148,137,131,121,211,234,229,230,229,229,229,219,219,220,220,222,222,217,226,214,192,179,176,162,158,206,181,157,143,133,127,135,228,229,229,230,229,229,230,219,220,220,221,223,216,219,232,213,190,176,161,146,152,186,163,142,137,133,118,175,235,228,229,229,229,229,229,219,221,221,222,223,213,229,225,211,200,180,152,149,163,181,141,142,132,127,138,221,230,229,229,229,229,229,229
15,72,82,93,102,109,110,115,123,131,136,141,144,149,152,155,157,162,165,167,169,171,174,174,175,175,176,178,178,72,84,94,104,109,111,117,126,132,137,142,146,151,155,157,160,164,166,169,171,173,176,176,176,177,180,180,179,75,87,96,105,110,112,118,127,133,138,143,149,152,157,159,163,166,169,172,173,175,176,178,180,181,182,183,182,77,88,98,107,113,115,121,130,135,141,146,149,153,158,161,164,167,171,174,175,177,178,181,183,183,183,183,185,77,90,100,110,114,117,124,130,138,144,147,151,157,161,164,167,169,172,175,176,178,181,183,184,185,185,186,187,78,90,104,107,111,116,124,132,141,146,150,156,160,162,167,170,172,173,176,179,182,182,185,187,187,188,188,189,80,93,99,136,152,129,130,133,142,146,153,157,162,163,167,173,174,176,179,182,183,186,186,187,188,189,190,191,82,95,96,198,189,152,150,141,147,154,154,153,158,166,172,175,175,179,182,183,185,189,189,190,192,192,193,192,83,97,103,155,169,148,147,136,158,161,157,150,134,140,158,164,171,181,184,187,190,191,191,192,194,194,195,195,85,97,109,117,128,123,116,114,139,145,148,149,140,151,146,149,155,167,175,163,169,185,197,191,195,197,197,198,88,98,111,121,123,123,129,131,137,136,129,128,138,152,147,139,134,148,172,162,149,134,154,203,198,195,199,199,89,100,114,121,123,128,138,145,152,155,149,143,141,137,130,121,117,145,161,178,153,131,115,137,203,201,197,201,89,103,116,123,126,129,139,146,151,158,164,168,172,168,157,137,148,168,161,165,158,142,146,122,123,198,205,202,91,104,116,125,128,131,140,148,153,159,164,166,172,179,182,215,203,177,128,135,181,138,157,157,113,111,202,207,92,105,118,127,130,133,142,149,155,161,163,178,180,146,148,187,195,157,90,98,189,133,161,160,151,98,110,207,93,106,119,128,130,134,144,150,157,164,162,201,178,129,131,195,209,157,111,117,156,151,166,156,142,118,80,103,96,108,119,129,131,135,144,151,158,165,167,189,149,125,140,205,211,152,116,125,121,132,150,133,117,117,101,80,98,111,122,131,131,135,144,153,160,166,171,175,172,132,147,200,188,139,121,133,133,130,143,123,93,106,106,102,97,111,123,131,132,136,145,155,160,166,173,170,229,222,128,100,105,106,132,152,146,149,154,130,104,108,106,102,98,111,125,132,135,138,148,155,161,167,176,171,217,238,162,58,8,0,11,55,130,146,146,128,124,120,100,89,100,112,126,134,136,140,149,156,162,169,176,172,212,234,161,72,36,16,0,0,39,129,124,114,96,72,51,32,101,114,126,133,136,142,150,156,163,170,177,176,204,240,136,73,95,85,50,14,0,50,62,44,22,11,5,0,102,116,126,132,135,143,150,157,164,170,178,179,195,241,144,103,143,119,112,104,45,18,13,12,8,6,6,0,100,115,125,131,133,141,147,156,162,168,176,180,187,241,173,96,158,127,119,77,30,21,19,17,12,8,6,3,100,113,125,131,133,140,149,158,164,171,175,180,178,228,198,83,192,196,133,49,19,16,17,17,13,9,7,4,100,115,127,131,135,142,151,159,166,173,177,184,178,223,179,74,198,217,146,38,15,15,16,18,13,10,12,12,101,115,128,133,136,142,152,160,167,174,177,184,186,203,123,150,207,214,163,39,29,23,19,13,12,11,13,11,101,117,129,135,138,144,152,159,168,174,178,183,189,191,186,203,203,207,211,84,38,30,21,13,13,13,12,7
15,109,108,110,109,113,115,116,118,120,128,140,148,156,161,165,170,172,174,177,181,184,187,189,191,192,194,196,198,108,109,109,108,112,113,111,116,120,130,140,148,156,161,166,170,172,175,178,180,183,188,190,191,193,196,197,199,110,109,109,109,111,112,127,116,117,130,141,150,158,162,167,172,173,175,179,183,184,188,191,192,195,198,201,200,110,109,109,112,98,148,202,161,133,129,136,148,158,166,169,174,175,175,177,182,185,189,191,194,195,198,199,200,111,109,108,111,100,150,206,192,180,168,152,153,148,159,168,174,176,177,180,184,186,188,191,195,197,197,199,200,110,110,110,111,111,112,160,163,159,175,173,174,163,155,151,155,160,166,173,182,189,194,195,194,197,198,201,202,109,110,109,110,113,112,115,129,129,146,155,161,178,174,165,161,159,161,160,153,156,163,179,202,197,200,201,203,109,110,109,110,111,114,115,116,122,131,135,130,156,164,163,157,160,174,182,168,146,132,114,170,204,199,203,204,110,110,110,111,113,116,117,117,121,131,141,143,149,152,150,145,141,173,181,184,163,153,123,105,187,206,201,205,108,110,110,110,112,114,116,116,121,133,142,151,159,162,161,154,154,185,183,184,172,169,149,125,119,199,206,204,109,110,110,110,112,112,115,118,122,130,138,151,157,167,174,166,196,195,171,177,190,175,170,153,116,125,204,206,110,110,110,110,113,113,115,117,121,130,157,157,158,157,164,191,201,188,145,180,190,174,193,165,134,101,139,214,109,110,110,111,112,113,116,119,113,157,194,171,178,173,153,167,165,137,118,172,172,170,201,171,138,118,97,162,109,110,110,110,110,112,114,117,117,152,172,179,201,201,165,136,148,127,96,161,152,177,195,171,145,124,107,104,109,108,108,109,110,113,114,117,119,131,148,162,195,194,158,158,166,157,148,148,153,163,170,162,143,122,108,105,108,108,108,107,109,112,112,115,120,132,143,156,167,153,152,172,170,163,169,172,159,127,123,139,130,118,107,104,107,106,106,108,108,109,110,112,119,133,142,146,159,166,138,157,171,173,178,181,160,123,107,116,117,114,115,106,105,105,105,107,108,108,109,111,118,131,142,146,169,225,148,107,110,160,170,174,154,119,111,116,114,115,118,112,104,104,105,105,106,107,110,111,119,132,141,145,166,214,153,100,63,93,149,161,139,119,118,117,114,116,120,117,104,104,105,105,105,107,109,109,119,132,140,145,163,205,143,89,109,78,102,147,119,113,115,121,121,119,119,116,104,104,104,104,106,107,108,109,117,131,141,145,163,204,133,105,123,102,116,138,150,131,130,129,126,123,118,114,102,102,102,102,103,105,107,108,116,128,138,147,157,210,118,119,146,124,161,121,160,143,135,128,121,118,116,112,99,99,100,100,101,103,105,106,114,127,137,143,165,219,102,125,203,93,179,168,137,112,115,115,114,114,115,114,102,100,102,103,102,101,104,104,112,125,136,142,162,175,95,141,204,91,164,195,142,140,146,93,96,101,98,100,153,152,149,147,144,143,146,146,148,147,149,151,160,141,121,169,159,125,172,176,180,186,185,123,89,92,92,94,124,122,121,119,120,121,124,127,123,123,120,117,121,120,125,128,126,126,128,128,129,126,128,126,103,103,111,117,124,123,123,121,122,121,122,120,120,123,121,118,120,122,122,123,121,122,125,124,122,120,121,123,123,129,134,127,125,124,124,124,122,124,126,123,124,125,128,126,126,128,125,124,126,127,128,127,127,126,127,130,127,130,162,137
6,189,190,189,189,189,189,190,189,190,188,188,187,186,186,185,186,184,184,183,182,180,180,180,179,178,177,175,174,191,191,191,191,191,191,191,191,191,189,189,189,188,188,187,186,185,186,184,183,182,181,181,180,179,178,177,175,193,193,193,193,193,193,192,193,192,191,191,191,190,189,188,187,187,187,186,185,184,182,182,181,180,179,178,176,194,195,195,195,194,194,194,194,193,193,193,192,191,190,189,189,189,187,186,185,185,184,183,181,180,179,178,177,195,196,197,196,196,196,195,195,194,194,194,193,193,192,191,191,191,189,187,187,186,185,184,182,181,180,180,179,196,198,199,198,199,199,198,197,196,196,194,194,195,193,193,193,192,190,189,188,188,186,186,184,183,181,180,179,197,199,200,201,201,200,199,199,199,197,196,195,196,195,195,194,194,192,191,190,189,187,186,186,185,183,181,180,199,201,201,201,202,201,201,201,200,200,200,199,197,196,195,195,193,192,190,188,185,181,174,172,182,181,182,181,201,203,203,202,203,202,202,199,194,184,180,182,182,176,167,162,156,164,167,166,159,157,143,154,186,169,172,182,202,204,205,205,203,202,193,180,171,156,144,138,137,157,152,141,130,140,158,160,150,145,140,143,167,144,168,184,204,205,207,204,194,182,162,156,161,159,154,131,91,117,136,134,110,125,130,129,121,108,109,117,135,158,183,185,205,202,192,179,168,161,153,149,153,159,151,108,73,63,76,83,86,102,113,125,131,146,159,169,181,187,187,185,190,181,170,162,155,150,147,141,145,151,140,104,68,56,68,99,129,162,184,190,193,196,195,194,193,190,188,187,182,176,167,158,152,151,150,145,145,148,148,127,79,54,117,192,200,202,200,199,198,197,197,195,193,191,189,188,188,176,167,159,154,152,151,147,146,149,149,128,81,58,83,194,204,203,201,200,199,198,198,195,194,193,191,190,178,170,166,159,154,153,151,152,149,150,148,132,85,60,58,157,207,204,203,202,200,199,198,197,194,193,193,191,171,167,164,158,156,154,154,153,154,156,154,139,94,61,54,110,205,205,204,202,201,200,199,198,196,194,193,192,177,159,156,159,164,160,154,148,143,145,144,125,90,63,55,74,197,207,204,203,202,201,200,199,197,195,194,193,170,153,154,162,166,164,152,146,139,137,129,108,87,68,56,102,202,207,205,204,204,203,202,200,199,196,195,195,146,141,153,160,158,154,146,136,129,133,122,95,86,76,61,172,210,207,206,205,205,205,203,201,199,199,196,194,105,120,137,150,146,136,127,117,108,105,92,83,83,82,63,181,210,207,206,206,205,204,202,201,199,197,196,194,51,72,97,123,123,111,101,94,86,69,56,69,88,83,59,170,210,208,207,205,204,203,202,201,198,197,195,193,40,26,32,58,77,81,75,71,68,58,56,77,87,81,81,187,210,208,207,206,205,204,202,201,199,197,195,194,42,29,10,15,18,46,96,121,103,78,74,94,111,156,186,208,209,209,207,207,206,205,203,202,201,199,196,195,40,36,11,11,12,125,210,214,203,174,158,170,197,212,213,211,209,209,207,207,206,205,203,202,202,200,198,196,38,37,12,7,48,199,219,217,217,217,216,215,215,213,212,211,210,209,208,208,207,205,204,203,202,202,200,199,42,33,9,16,140,219,217,216,217,217,215,215,214,214,213,212,210,209,209,209,207,206,201,195,186,159,134,133,42,20,3,71,211,218,217,216,216,216,215,215,213,213,213,212,211,211,207,184,154,138,121,101,80,54,37,35
12,192,193,194,197,198,199,199,201,200,201,201,202,202,203,204,203,203,204,205,203,203,203,204,203,203,202,201,200,194,196,197,198,199,200,201,204,202,203,203,203,203,204,204,207,205,207,207,205,205,206,205,204,204,204,202,202,197,198,198,200,201,201,202,205,204,203,203,206,206,210,208,197,207,206,207,209,207,206,207,206,206,205,205,205,198,200,200,202,203,204,204,206,203,209,219,205,202,234,223,173,158,216,212,188,203,208,207,207,207,206,207,206,199,200,201,204,205,206,206,205,209,252,246,201,176,244,228,167,98,200,222,162,148,213,209,209,209,208,209,208,199,201,203,206,206,207,208,203,214,255,249,197,171,246,226,178,97,204,203,157,100,192,217,208,210,209,209,209,200,203,205,207,207,209,208,204,223,254,246,201,164,250,220,186,132,219,191,135,87,162,225,209,212,212,212,212,202,205,207,206,209,205,218,244,202,201,234,236,149,231,242,176,151,222,201,134,77,148,225,211,213,213,213,212,203,206,208,209,210,206,251,250,197,148,192,201,125,203,232,129,151,236,174,115,72,140,224,213,215,215,214,213,206,208,208,211,207,223,255,249,221,146,159,155,82,112,137,97,161,190,112,84,76,133,228,214,217,216,215,214,207,209,210,211,207,239,255,252,224,174,129,140,85,67,70,183,217,193,141,135,121,141,231,215,218,217,215,215,209,210,212,213,208,247,229,241,232,193,141,86,116,93,179,255,249,226,187,181,154,149,230,217,219,217,217,216,209,212,212,212,213,255,251,215,221,196,148,96,91,156,255,255,245,224,192,167,137,125,226,220,220,218,218,218,212,213,215,211,228,255,254,206,204,200,162,122,79,233,255,254,245,225,195,158,121,125,229,222,222,220,219,220,212,215,218,212,229,255,255,236,191,183,204,167,123,255,255,255,245,223,181,151,115,125,231,221,224,222,221,221,213,215,217,216,221,255,255,235,202,170,176,191,218,255,255,255,245,215,180,148,119,110,226,226,224,224,223,222,214,215,218,215,224,255,255,244,226,218,183,229,251,255,251,250,245,208,186,142,113,107,226,229,225,224,224,223,216,216,219,216,229,255,255,254,241,236,214,227,239,255,247,243,235,213,178,137,98,132,238,224,228,225,226,226,216,217,220,219,226,255,255,255,248,237,221,226,227,255,243,230,221,213,161,125,87,190,237,225,229,228,228,227,217,218,221,222,222,255,255,255,251,230,214,226,226,245,235,219,218,198,146,101,114,235,229,228,228,228,229,228,217,218,220,225,220,244,255,255,246,223,207,217,223,237,231,217,205,172,126,80,188,240,229,230,229,229,229,229,221,225,227,232,225,245,255,239,231,220,213,223,229,247,234,211,189,153,90,125,239,230,233,231,230,230,231,230,209,196,183,173,155,149,148,124,117,117,110,115,105,106,101,94,94,90,65,191,254,235,234,234,233,232,233,232,144,131,125,121,101,87,85,79,67,57,51,48,32,28,31,26,23,25,29,56,119,220,236,232,232,232,231,231,139,124,129,119,106,96,91,83,73,64,60,52,40,37,35,33,28,25,23,18,1,199,240,230,232,231,230,229,168,120,128,119,105,97,86,80,71,61,56,48,37,36,37,34,26,23,25,6,103,250,229,233,231,231,231,230,189,122,126,114,104,96,83,77,68,60,55,46,38,37,36,32,26,19,22,6,194,248,232,235,233,233,234,233,201,126,123,116,108,95,87,77,68,57,51,47,39,37,35,31,26,20,20,25,222,240,238,237,235,235,234,235
3,152,152,153,154,156,156,156,156,155,156,156,155,155,154,153,152,151,150,149,147,146,145,144,142,140,139,138,138,157,157,157,158,159,160,160,159,158,159,159,158,158,157,156,155,154,153,151,150,148,146,144,143,143,141,139,138,161,162,161,162,164,164,164,163,162,163,163,162,161,160,159,162,142,141,155,153,151,149,147,146,145,142,142,140,165,167,167,167,168,168,168,168,167,167,167,166,165,164,163,166,132,111,159,157,155,153,152,150,148,146,144,142,171,171,171,172,172,173,172,172,172,172,171,170,169,168,167,168,134,95,157,161,159,158,157,154,151,150,147,145,175,175,175,176,176,176,176,176,177,176,175,174,173,171,171,169,134,85,155,164,163,161,159,157,154,151,150,148,178,179,179,180,180,180,180,180,180,180,180,178,177,175,175,172,135,84,154,169,166,164,163,161,158,155,153,151,183,183,183,183,184,184,183,183,184,184,184,182,181,180,179,179,143,86,151,172,170,168,166,164,161,159,157,155,186,186,187,187,188,187,187,187,187,187,187,186,184,183,181,182,138,82,153,175,173,172,169,167,164,163,160,159,189,190,190,191,191,191,191,190,190,189,189,188,187,187,184,176,134,90,155,178,175,174,173,170,168,165,163,161,193,194,194,194,194,194,194,194,193,192,192,192,190,189,187,177,137,92,145,182,178,176,175,173,171,168,166,164,195,196,196,196,196,196,195,196,196,196,196,195,193,192,190,186,140,83,135,186,181,179,177,175,173,171,169,166,198,198,199,199,198,198,198,198,198,198,197,198,197,191,174,159,158,118,129,189,184,181,180,178,176,173,171,169,200,200,201,201,201,201,201,201,200,200,199,185,172,183,153,98,139,146,97,144,175,185,182,180,178,175,173,172,201,202,202,202,203,203,203,203,203,201,192,163,117,146,156,105,103,136,87,78,104,171,186,183,181,178,175,173,203,203,202,203,204,204,205,205,205,196,182,161,133,119,161,123,82,121,106,86,77,140,189,185,183,181,178,175,204,204,204,206,206,206,207,207,201,186,146,135,144,115,138,128,74,80,106,94,66,123,191,187,184,182,180,177,206,207,207,207,207,207,208,208,196,181,144,99,122,96,105,128,74,71,105,125,81,106,191,188,186,184,181,179,208,208,209,209,208,209,209,209,198,178,140,91,95,67,93,104,60,80,106,149,104,90,186,189,188,186,183,181,208,209,210,210,210,210,210,210,202,177,159,124,85,72,102,91,69,123,154,151,107,92,189,193,189,187,185,183,210,210,210,211,211,211,212,213,205,179,171,141,101,95,118,114,133,180,163,128,80,138,197,194,191,189,186,185,211,211,212,212,213,214,214,215,209,177,171,149,116,102,128,176,187,177,138,98,85,186,198,195,193,190,187,186,211,212,213,214,214,214,215,216,214,179,158,144,120,107,122,175,172,152,112,74,122,201,198,196,194,192,189,186,210,211,211,212,214,214,214,215,216,192,152,145,129,117,118,159,156,128,87,74,171,202,199,197,195,192,190,187,209,211,211,212,214,215,215,215,215,207,161,146,140,122,104,129,124,95,67,138,201,200,198,195,194,191,190,187,210,212,213,214,215,215,215,215,215,210,179,159,142,113,93,98,90,61,119,200,202,200,198,196,195,186,162,125,212,213,214,214,214,215,216,216,217,200,182,170,145,118,102,94,80,78,187,206,204,201,195,179,139,99,66,48,211,212,214,214,214,216,216,216,216,188,173,175,154,138,117,96,68,116,207,202,178,145,115,85,59,50,41,38
23,185,186,186,187,188,188,188,189,189,189,189,189,189,189,189,190,189,189,188,188,187,187,186,186,185,184,183,177,186,187,187,188,189,190,190,190,191,191,191,191,191,191,191,192,192,190,189,189,188,188,187,186,186,186,185,183,187,188,189,190,191,192,192,192,192,193,193,193,193,193,193,193,193,193,192,191,190,189,189,188,188,187,187,186,189,191,191,192,192,192,193,193,193,194,194,194,194,194,194,194,194,195,194,193,192,191,191,191,190,190,189,188,191,192,193,193,194,194,194,194,194,195,195,195,195,195,195,195,195,196,196,197,195,191,189,184,182,190,191,190,192,193,194,195,195,196,196,196,195,196,196,197,196,195,196,196,196,198,204,207,198,189,179,154,150,187,193,192,194,194,195,196,196,197,197,197,197,197,198,199,198,198,198,199,202,208,211,201,172,161,155,138,152,189,194,194,195,195,196,197,198,199,199,199,199,199,200,200,200,200,199,204,214,210,188,162,136,151,165,172,187,195,196,196,196,196,197,199,200,200,200,200,200,200,200,200,201,200,202,214,221,187,138,139,164,189,194,195,197,197,196,197,197,198,199,200,200,200,201,201,201,201,201,201,201,201,208,221,217,165,129,171,194,199,199,198,198,197,198,198,198,199,200,200,200,201,202,201,201,202,202,202,203,204,215,221,213,179,173,194,183,186,195,188,187,198,200,199,199,199,200,201,201,201,202,202,202,202,201,200,201,204,213,212,199,201,205,200,163,152,177,172,163,194,201,200,199,200,201,201,202,202,202,203,203,203,198,187,186,196,203,199,170,187,194,187,150,122,156,164,146,191,201,201,200,201,202,202,203,203,203,204,205,210,205,188,173,178,187,194,183,196,201,187,143,103,125,140,133,188,203,202,200,202,203,203,203,203,204,205,208,217,218,208,191,180,173,173,167,170,181,181,148,99,88,101,109,173,203,203,200,201,203,203,203,204,205,205,207,217,224,218,207,189,173,175,170,159,155,153,139,108,79,81,91,142,198,204,199,200,202,202,202,203,204,205,204,215,225,218,206,178,150,156,174,171,157,138,114,109,83,75,87,129,194,204,199,201,202,202,202,203,204,205,203,214,225,223,207,160,120,112,143,157,143,117,98,107,87,72,92,149,198,202,200,201,202,203,203,204,205,205,202,214,227,227,204,151,102,78,113,149,125,91,98,116,92,76,113,179,202,202,201,201,202,203,204,204,205,205,201,215,228,222,194,150,103,70,111,135,97,74,110,121,94,90,152,199,203,203,200,201,202,203,203,205,205,204,202,217,227,213,182,145,106,71,99,104,64,72,118,113,88,117,186,205,204,204,201,201,201,202,203,205,206,204,206,221,224,204,174,141,106,70,85,82,54,89,114,94,90,154,202,205,205,205,198,199,199,200,202,204,205,203,209,222,217,193,167,140,109,73,78,72,61,98,101,84,111,184,206,206,206,206,165,166,168,171,174,178,181,186,207,217,206,181,159,139,111,75,73,73,75,90,88,91,146,196,203,204,204,203,113,112,112,115,117,118,119,146,198,209,196,170,157,146,112,79,70,79,93,94,87,97,138,157,161,163,165,167,103,102,101,102,103,103,103,136,195,204,189,168,165,155,114,87,76,88,103,101,93,96,102,106,108,110,116,124,103,104,104,103,104,104,106,144,198,202,191,176,174,159,120,94,84,92,100,99,98,104,106,112,121,137,157,174,103,105,105,105,105,106,107,152,206,209,200,186,179,161,125,98,87,91,97,97,104,114,130,157,179,194,198,202
10,108,117,127,142,163,172,179,183,185,187,188,189,191,191,191,192,194,192,192,191,189,188,187,185,183,182,179,177,109,118,129,145,164,173,180,184,186,188,189,191,192,193,194,194,194,193,192,192,190,192,188,186,186,184,181,178,111,120,130,146,165,175,182,185,187,190,191,193,194,195,196,196,196,195,194,194,194,182,187,189,186,184,183,180,112,121,131,147,167,176,183,186,189,192,193,194,196,196,198,198,199,198,197,195,202,150,151,196,186,186,184,182,114,122,132,150,169,178,184,189,191,193,196,198,198,199,199,200,200,200,199,197,205,153,134,197,189,189,185,184,115,123,133,151,170,179,186,191,192,194,197,199,199,201,203,203,203,203,202,200,206,151,130,197,192,191,190,187,116,125,135,153,172,180,188,192,193,195,199,201,202,203,206,206,205,204,204,204,211,156,132,201,196,194,192,190,117,126,136,155,173,181,189,193,194,197,201,203,205,206,206,206,206,207,205,207,194,155,133,203,198,197,195,192,118,128,137,156,174,183,189,194,197,199,203,206,206,207,208,208,210,210,211,215,137,131,130,204,200,198,197,195,119,128,137,158,175,184,191,196,197,200,205,206,206,210,210,210,211,206,197,193,131,106,135,208,201,200,197,196,120,128,138,159,175,185,192,196,198,202,206,207,209,211,213,216,218,205,178,131,120,93,142,214,203,202,200,198,121,129,139,160,175,186,193,198,200,203,206,209,211,212,210,191,203,200,156,105,99,106,123,212,204,204,201,199,123,130,140,162,176,187,193,198,200,204,208,211,213,219,204,162,135,114,96,102,121,107,102,207,207,205,203,199,124,132,141,163,177,188,195,199,202,205,209,213,204,196,216,188,132,71,74,97,173,128,100,201,210,206,204,201,125,132,142,163,177,188,195,200,203,205,209,216,198,161,170,203,154,89,81,97,186,157,101,196,213,207,205,203,124,133,142,163,177,189,195,200,203,207,211,216,212,197,153,186,162,109,73,112,187,166,100,179,218,208,206,205,125,133,143,164,178,189,197,202,204,208,212,215,183,192,150,147,163,117,81,154,188,162,97,162,222,207,208,206,126,134,145,166,180,189,196,203,204,209,211,221,188,152,143,118,172,162,118,185,177,139,96,171,221,209,208,205,125,134,146,167,179,190,196,203,205,209,213,217,199,160,138,136,166,176,127,183,166,121,93,188,220,210,209,207,126,134,146,167,179,189,197,203,206,210,213,217,222,187,148,134,136,168,161,180,154,117,89,198,220,211,211,208,126,135,146,168,180,189,197,203,205,210,213,215,223,202,172,148,145,208,207,172,145,112,95,210,218,213,211,209,126,135,147,168,180,190,198,203,207,211,215,216,207,199,182,167,157,202,197,161,137,104,105,221,217,215,212,211,126,134,147,168,179,190,198,204,207,211,214,219,203,197,188,176,160,194,189,150,126,88,125,229,216,216,214,212,125,132,146,167,179,190,198,204,206,211,214,218,215,195,190,174,155,173,170,137,116,78,165,228,215,215,213,210,124,131,144,165,177,188,197,202,204,209,212,214,219,205,185,168,151,154,161,138,109,93,208,221,216,213,211,208,123,130,143,164,176,188,197,202,205,209,212,215,219,218,191,168,164,156,164,146,99,126,227,216,214,212,210,208,123,129,143,163,174,187,196,202,204,208,211,215,219,216,201,185,180,163,161,137,94,154,229,215,214,211,209,208,121,127,142,163,173,186,194,200,202,207,210,213,216,208,212,195,182,162,145,127,90,161,227,213,213,211,208,207
16,193,193,192,193,194,194,195,195,195,196,195,195,195,196,196,196,196,196,196,197,197,195,196,197,197,196,197,196,193,194,195,195,195,195,195,196,197,197,196,196,196,196,196,197,197,197,197,199,199,198,198,199,198,198,198,197,194,195,195,196,197,196,196,197,198,199,198,198,198,198,198,198,199,199,200,200,200,199,199,200,200,200,200,198,195,195,196,196,197,197,197,199,199,199,199,199,200,199,199,199,200,200,201,201,200,199,201,200,200,201,200,200,195,196,197,197,199,198,198,199,199,200,200,200,200,200,198,183,182,182,195,201,201,202,200,201,201,201,200,199,195,196,196,198,199,199,199,199,200,200,198,191,190,202,209,171,151,139,129,168,198,203,201,202,201,202,201,200,195,196,197,198,200,201,201,200,199,201,194,174,185,214,210,185,164,147,118,93,124,180,202,202,202,202,202,201,196,196,198,199,200,201,200,193,187,219,207,183,198,217,203,192,176,149,108,101,85,97,153,200,202,202,202,201,197,197,198,200,201,200,209,190,193,211,205,190,202,217,189,182,168,143,95,106,88,86,86,144,200,203,203,203,198,198,199,201,201,201,221,201,196,204,205,200,195,207,177,174,158,130,90,96,85,87,86,83,145,204,204,204,199,199,200,201,201,201,208,202,191,204,210,205,198,204,180,170,148,115,87,84,80,86,86,83,79,171,206,206,198,199,199,200,203,205,200,207,200,198,212,206,202,212,192,171,140,104,83,73,76,85,84,82,79,116,205,206,198,197,198,198,210,202,200,208,212,201,206,206,204,210,197,166,128,95,72,61,76,89,89,83,79,92,201,205,197,198,199,199,205,205,205,203,212,204,204,211,211,208,195,156,114,85,52,58,75,90,95,93,82,101,203,205,199,199,200,201,201,207,212,206,208,206,179,217,217,207,194,149,99,60,29,55,72,84,102,93,87,111,205,205,199,199,200,201,202,208,214,214,194,203,182,210,216,209,196,141,87,31,22,45,63,81,108,87,87,120,204,205,199,200,200,201,202,202,205,218,165,178,197,201,212,212,191,134,79,30,18,32,56,90,114,84,82,147,206,207,200,200,201,201,202,201,192,202,213,193,190,199,215,215,185,130,76,46,32,26,64,112,116,85,82,166,208,208,199,199,201,201,201,201,194,183,204,200,193,196,216,215,179,124,74,63,61,48,87,137,129,92,80,166,208,208,187,189,190,192,194,197,198,188,188,190,179,172,210,212,175,115,76,73,73,62,110,161,157,114,79,171,208,208,115,119,121,124,127,132,134,136,136,140,114,120,199,211,173,106,82,81,82,76,123,166,173,142,89,166,206,221,100,100,100,99,98,100,99,98,98,98,98,96,193,215,175,103,105,92,87,87,128,166,181,168,115,157,221,241,102,103,104,102,100,102,102,102,102,102,105,96,182,217,174,109,149,113,100,90,115,154,176,179,140,163,221,238,101,101,102,101,102,102,103,102,103,104,104,101,157,212,173,120,178,134,116,103,93,132,164,161,134,124,220,223,100,101,100,102,103,103,103,103,104,105,106,102,143,223,165,140,197,159,135,120,101,91,131,136,111,144,191,200,100,101,100,101,101,103,103,102,104,105,105,103,136,215,136,182,207,176,151,137,112,87,86,97,99,197,163,179,100,100,100,100,101,102,102,102,104,104,104,104,114,142,167,216,212,186,164,148,121,92,81,82,92,219,195,162,99,101,99,102,101,100,101,103,104,103,104,104,104,112,205,222,216,193,171,155,131,98,82,83,94,226,221,198
3,126,136,144,148,151,156,161,164,166,169,170,171,174,174,175,174,178,177,175,176,175,175,174,174,173,172,171,170,131,141,148,152,157,161,166,170,172,174,176,178,179,179,180,186,152,171,183,179,181,180,179,179,177,176,175,174,136,146,152,156,161,166,170,174,177,180,182,183,184,184,185,192,120,124,196,184,186,186,186,185,183,181,179,178,140,150,157,161,166,172,176,180,183,185,187,187,190,191,192,192,121,89,191,191,190,191,190,189,188,185,184,182,144,154,162,164,170,176,180,184,187,190,191,192,194,194,195,200,124,74,177,199,194,194,193,193,192,189,188,187,147,157,165,169,173,179,184,189,190,193,195,196,198,199,199,205,136,70,162,208,197,198,198,197,195,193,192,192,151,160,168,172,177,182,187,193,195,197,198,200,202,203,201,223,159,74,142,215,202,203,202,201,198,197,196,195,154,163,171,175,180,185,191,195,198,201,202,204,204,206,191,196,146,67,126,217,204,207,206,205,203,201,200,199,157,167,174,178,183,189,194,198,200,203,205,209,209,235,205,145,99,82,117,217,209,209,209,208,207,206,204,203,161,170,177,181,187,192,197,201,203,206,210,198,169,217,234,176,90,145,130,205,216,212,212,212,211,210,207,205,163,172,178,183,190,195,199,203,207,206,225,216,173,164,243,188,148,198,96,171,226,215,216,214,213,212,210,209,166,174,181,185,193,197,201,206,211,187,181,230,217,158,209,185,161,174,82,105,225,217,218,217,216,214,213,212,167,176,183,188,194,198,204,207,221,212,179,170,223,170,176,182,130,173,122,80,164,230,217,219,218,218,217,215,170,178,185,190,196,200,207,212,209,225,216,146,162,192,143,186,130,151,159,106,108,230,219,220,219,218,217,217,171,180,187,191,198,203,209,214,202,156,183,124,98,166,103,185,184,111,156,118,107,227,223,223,222,221,221,219,173,181,188,193,199,205,210,215,213,150,155,127,81,141,109,107,108,63,136,124,102,226,226,224,224,222,222,220,174,181,189,195,200,206,212,215,224,192,135,125,97,121,167,96,41,84,165,134,88,209,232,225,225,224,224,223,173,180,187,194,201,206,212,216,219,179,124,104,87,72,126,106,90,135,182,136,82,192,239,226,226,227,226,225,174,181,187,194,201,205,211,214,219,206,160,113,89,76,91,158,175,179,157,119,90,204,235,226,227,226,227,226,175,182,189,195,201,206,211,214,224,216,169,122,113,121,134,220,228,194,152,99,106,227,229,226,227,228,224,220,177,185,192,197,202,206,212,215,221,218,186,146,131,124,149,223,218,177,144,94,130,241,233,229,232,207,186,218,170,179,188,195,202,208,215,220,224,217,191,157,132,127,144,214,210,165,129,87,157,233,210,213,211,167,163,219,108,110,114,119,126,130,133,141,145,198,195,159,147,147,132,203,201,156,115,87,150,207,179,162,202,129,171,207,103,105,107,108,107,107,108,109,100,152,200,170,157,154,123,178,185,141,103,96,180,171,185,156,169,115,191,195,106,107,109,111,112,114,118,120,113,129,203,177,154,148,114,138,157,112,90,141,188,161,167,174,127,126,201,190,106,108,109,109,112,112,111,115,106,172,230,177,149,133,104,115,118,96,104,166,180,162,162,164,115,160,191,191,105,107,110,109,112,112,112,114,108,199,227,174,147,122,108,110,106,84,148,163,147,162,155,146,143,168,186,191,104,106,109,109,108,110,112,111,116,201,211,174,150,134,118,105,96,86,181,167,110,154,157,147,164,160,196,186
18,208,208,208,209,210,211,212,212,212,211,212,212,211,211,210,209,210,210,211,211,210,208,207,206,203,203,201,199,209,210,211,212,211,211,213,213,213,213,212,212,212,210,211,211,211,212,211,211,209,208,207,208,205,203,202,203,212,212,213,213,213,214,213,213,212,212,213,212,213,213,213,212,213,215,211,214,209,208,207,208,207,204,204,203,213,214,214,215,215,217,215,215,213,212,214,214,215,213,213,214,213,221,205,200,214,210,209,209,207,206,205,204,214,215,216,216,215,217,217,218,215,215,216,215,212,215,217,215,213,244,207,163,197,214,212,210,211,210,207,205,217,218,218,217,217,218,217,218,218,218,219,215,234,235,200,210,245,255,232,178,181,209,208,212,210,208,207,208,218,218,219,218,218,220,220,221,217,220,218,234,255,238,195,174,226,244,250,235,236,222,171,171,211,207,208,210,219,220,220,219,220,220,222,218,225,249,210,229,255,229,202,165,223,222,251,250,249,232,173,120,191,214,210,211,220,221,221,222,222,221,217,225,255,255,206,176,255,225,193,172,239,208,210,242,254,227,165,111,155,219,210,210,220,219,221,222,219,223,217,255,255,255,213,176,255,232,191,171,243,223,173,246,255,230,155,107,140,223,212,213,223,222,222,222,224,218,241,255,255,255,219,172,252,241,193,176,250,219,182,255,255,228,150,99,158,226,212,213,224,226,226,226,224,225,255,249,255,255,228,175,244,236,191,162,224,199,181,255,255,216,143,97,192,223,215,216,226,227,225,227,224,252,255,242,240,248,220,167,205,217,184,131,160,152,208,255,249,199,135,116,222,218,218,217,227,226,227,224,236,255,250,209,215,208,170,128,161,187,145,85,176,219,250,255,234,186,122,167,229,218,219,218,229,229,231,226,241,255,254,211,188,184,144,102,181,183,116,191,255,255,244,228,217,172,122,209,227,220,219,219,229,231,233,224,253,255,253,225,177,166,146,93,199,169,215,255,255,254,223,198,197,150,120,220,224,225,222,220,229,231,234,229,255,255,255,232,205,171,158,145,138,212,255,255,255,246,206,176,169,122,155,236,223,225,223,223,232,233,232,235,255,255,255,240,220,187,173,173,204,255,255,255,255,227,185,159,150,100,186,236,225,226,226,224,233,234,231,240,255,255,255,251,236,202,196,219,255,255,255,255,249,207,168,149,120,128,226,230,228,227,227,225,233,235,231,241,255,255,255,255,246,224,214,239,255,255,255,250,237,193,156,139,101,196,239,228,229,228,228,226,232,234,231,238,255,255,255,255,248,229,222,233,255,255,248,244,206,181,142,113,127,235,231,230,228,229,229,226,233,234,233,237,255,255,255,255,244,228,226,229,254,244,230,232,192,158,125,92,187,239,230,231,228,230,229,229,234,235,233,236,255,255,255,252,234,220,221,228,241,226,217,215,188,135,104,114,232,232,230,231,232,229,229,238,233,236,233,238,255,254,241,238,222,210,213,219,239,219,206,196,161,114,78,179,244,232,233,231,231,230,230,184,238,238,237,248,255,253,244,240,227,225,215,218,246,206,180,161,126,76,116,237,233,234,232,233,237,242,173,102,181,172,157,206,255,255,252,243,244,250,211,216,239,181,150,128,83,81,223,238,234,233,239,233,207,163,114,101,128,127,119,124,131,133,137,140,149,171,156,174,185,148,122,97,57,187,249,243,243,243,203,143,113,97,90,82,150,114,115,118,110,104,96,89,76,70,70,74,75,67,62,60,53,88,112,143,198,197,103,105,109,102,92,80
4,187,187,187,188,190,191,190,188,191,190,189,192,192,191,191,191,192,192,192,191,194,191,188,188,189,188,187,186,189,190,190,190,190,192,192,192,192,193,192,194,192,192,192,192,193,193,192,192,192,192,192,192,191,191,189,187,191,193,193,192,192,193,192,193,194,193,192,192,192,194,198,194,194,197,200,195,193,193,194,192,192,192,191,189,192,194,194,194,195,194,193,194,195,195,196,196,195,178,167,189,193,171,165,196,199,197,193,193,193,194,193,190,193,195,195,194,195,195,196,194,195,194,183,192,233,201,150,140,207,173,124,125,191,180,197,198,195,196,195,193,194,194,195,197,196,196,199,198,196,211,205,171,176,239,183,123,214,203,142,80,160,128,116,197,199,195,195,194,196,195,195,196,199,199,200,197,203,227,225,189,122,212,200,109,206,213,144,127,200,154,73,119,209,194,197,196,196,199,199,200,199,201,202,196,214,201,217,191,119,181,202,87,179,217,126,131,207,153,86,89,209,199,199,198,197,200,200,201,201,201,200,202,228,170,202,197,101,154,210,112,134,190,104,142,217,180,87,106,214,198,202,198,197,200,200,201,203,202,197,216,209,131,149,206,116,126,211,179,163,164,170,202,223,184,103,128,217,200,203,200,199,200,200,201,204,203,203,221,208,171,138,172,116,92,134,178,179,180,199,202,197,163,136,95,202,205,204,202,200,201,200,202,204,202,216,218,196,176,140,111,75,78,99,95,143,153,162,177,163,143,166,79,157,217,202,204,199,201,201,202,203,203,219,203,167,136,127,106,75,86,113,69,109,116,119,135,120,165,173,103,103,218,202,205,200,202,203,203,205,203,223,208,168,123,98,91,83,101,109,106,149,146,115,71,149,215,183,141,75,184,213,204,200,202,203,203,205,204,233,226,187,139,99,75,83,111,99,146,176,167,132,152,172,209,203,177,91,122,223,203,200,201,202,203,205,208,231,230,196,143,97,82,84,114,129,182,165,177,190,212,209,193,211,167,102,86,215,207,199,200,202,202,201,209,233,232,209,145,98,100,89,97,140,166,176,204,212,202,206,186,170,144,109,73,196,211,199,200,202,203,201,210,235,228,216,147,109,128,108,115,154,171,200,209,205,198,188,175,138,117,95,91,205,208,200,201,201,203,202,214,229,226,201,155,149,134,116,170,196,210,218,211,201,185,170,151,120,91,73,173,213,207,200,201,201,203,202,213,230,225,207,180,166,140,116,191,217,216,223,209,190,171,156,132,104,65,137,217,208,210,201,202,202,204,202,205,233,223,220,197,165,165,127,177,220,217,217,196,169,156,143,117,81,95,209,210,211,209,201,202,202,202,205,195,224,226,229,207,180,168,145,174,220,211,202,182,157,141,122,99,69,177,219,210,211,209,206,206,207,206,209,195,211,224,213,194,183,165,153,171,206,198,185,168,141,127,108,71,115,219,210,211,211,209,176,180,187,187,192,184,207,228,202,182,182,172,157,169,184,183,165,145,126,117,94,74,199,223,219,218,218,217,90,92,92,94,101,87,189,227,198,190,192,180,160,167,179,175,159,129,112,107,74,106,179,175,184,186,180,178,87,86,84,85,89,68,179,230,200,199,193,181,161,169,184,182,157,110,98,87,76,83,85,85,76,78,117,133,89,88,90,90,95,73,181,236,203,199,198,192,164,162,183,178,135,94,86,73,84,87,82,86,132,166,209,229,87,88,89,90,95,71,176,241,204,200,207,210,168,147,179,161,111,87,76,79,103,105,134,182,238,219,166,194
21,0,25,41,48,57,70,88,97,106,111,116,119,122,125,127,137,136,137,139,140,142,145,146,146,147,148,148,148,0,29,42,49,58,72,89,99,107,112,116,120,123,133,131,102,136,140,142,143,145,146,147,149,149,150,150,149,0,33,43,51,59,76,91,102,109,114,118,124,120,154,139,51,127,146,143,145,147,149,151,152,152,151,152,152,0,36,45,53,60,78,94,102,110,116,120,125,121,157,141,61,120,149,146,147,147,150,152,152,153,153,154,154,6,39,45,54,64,80,95,103,111,116,122,126,122,157,138,63,112,152,145,150,151,153,155,156,155,159,157,157,13,41,45,55,65,83,96,107,113,117,124,129,123,157,146,73,107,156,146,151,153,155,158,155,106,119,166,159,21,42,47,57,67,87,98,108,115,120,125,129,126,155,148,82,95,159,151,153,156,156,161,137,72,100,170,159,27,42,50,58,70,87,99,109,117,123,128,129,128,153,146,88,80,157,152,155,157,163,156,113,70,149,165,161,32,43,52,59,70,90,101,109,117,124,128,130,129,161,159,90,75,157,152,156,158,166,142,85,103,172,162,165,35,44,52,60,73,94,102,112,118,124,128,133,132,168,165,102,83,159,155,158,160,148,116,74,156,168,165,165,39,46,52,61,75,93,103,113,119,125,129,132,128,155,146,96,78,155,154,160,162,139,77,107,176,165,167,166,40,46,54,62,77,95,105,113,119,126,131,166,127,113,114,75,73,155,156,161,161,121,70,158,170,167,168,168,41,46,56,64,80,96,105,114,123,124,138,175,121,76,68,54,77,139,148,153,146,74,112,177,166,170,169,169,43,48,57,64,81,98,107,115,123,126,165,128,99,72,38,50,79,122,135,131,97,67,166,168,169,169,170,170,42,48,57,64,83,100,108,118,118,164,179,150,117,97,47,37,65,97,113,98,54,122,179,167,171,171,171,171,44,49,58,67,85,98,108,116,123,174,165,186,163,120,62,36,60,75,94,73,69,174,171,171,171,171,171,172,44,50,59,68,86,99,109,112,143,147,145,178,164,93,56,45,50,64,74,52,121,180,170,172,173,173,173,173,44,51,60,69,90,100,113,113,162,158,122,90,124,92,63,49,45,52,55,49,155,175,173,173,173,173,173,174,45,52,60,70,89,100,112,117,165,125,87,71,115,112,73,50,47,44,49,51,161,174,174,175,176,176,175,175,46,54,60,70,90,102,110,126,176,133,127,108,108,137,84,64,53,47,43,53,164,177,174,175,176,177,177,177,46,54,61,71,91,103,109,135,175,148,131,98,172,173,99,89,60,42,41,62,171,175,175,176,176,177,177,177,46,54,63,74,93,103,108,139,187,160,117,133,204,157,106,92,62,43,39,74,178,174,176,176,176,177,177,178,47,56,63,76,92,103,108,141,188,138,117,151,179,130,92,83,67,48,35,104,185,173,176,177,177,177,178,179,49,56,61,75,93,104,111,137,168,131,129,145,168,127,104,72,66,50,37,136,180,173,177,177,178,179,179,179,48,55,61,77,94,105,111,130,149,150,145,141,171,123,116,81,50,47,43,156,178,174,177,177,179,180,180,180,48,55,63,80,94,103,114,123,154,175,128,145,164,110,97,74,48,40,57,168,176,176,179,179,179,180,180,180,47,53,60,78,92,101,115,117,152,166,127,122,142,92,73,56,47,31,79,175,171,176,179,178,179,180,180,180,46,53,58,77,90,102,112,119,138,146,125,123,122,92,74,61,49,26,95,178,168,174,176,176,177,178,179,179
1,148,151,155,157,160,161,161,163,164,164,165,165,165,166,166,165,166,166,166,166,167,167,167,166,165,166,165,163,152,154,157,160,163,164,165,166,167,168,168,170,162,154,169,169,169,169,169,168,169,170,170,169,168,167,167,166,155,158,161,164,165,167,167,169,170,171,169,177,168,109,171,173,173,173,172,172,172,173,173,173,172,171,170,169,158,161,164,167,169,171,171,172,173,185,174,141,171,96,149,153,175,177,176,176,176,176,176,176,175,175,174,173,160,164,166,170,172,174,174,177,176,193,173,121,172,102,103,115,149,180,179,178,179,179,179,178,177,178,177,175,162,166,170,173,175,176,177,179,179,194,178,122,180,124,102,133,113,183,181,181,182,182,182,180,179,179,179,178,165,169,173,175,177,180,181,183,179,185,191,125,177,143,101,144,101,172,183,184,184,184,185,184,183,182,181,181,169,172,175,178,179,182,183,189,184,131,198,135,155,149,109,157,126,149,188,187,187,187,187,187,186,185,184,182,172,175,178,181,183,186,186,196,183,110,196,145,134,156,128,169,155,125,187,189,189,190,189,188,188,187,186,184,175,178,180,183,185,188,188,197,186,114,192,153,133,177,150,146,171,124,174,193,193,192,191,190,190,189,188,186,177,179,182,184,187,189,190,200,196,125,194,177,132,185,155,124,188,150,145,195,194,195,195,194,193,192,190,189,179,181,184,186,190,191,192,202,197,128,179,185,127,156,152,113,196,168,125,194,197,197,196,196,195,194,193,192,181,184,186,189,193,194,194,202,201,146,139,181,108,135,158,108,183,169,124,181,199,199,198,198,197,197,196,194,183,186,188,192,194,195,197,203,210,156,109,183,148,157,161,166,186,143,130,153,201,201,200,200,199,198,197,196,184,187,190,193,195,197,199,203,210,149,116,167,190,165,157,194,181,133,135,114,198,203,202,201,200,199,199,197,184,188,191,194,196,199,200,204,207,175,175,140,171,170,174,203,165,134,136,107,170,204,205,203,202,202,200,200,185,189,192,195,198,201,201,206,211,190,177,141,145,180,212,202,189,158,123,111,130,206,207,206,204,203,202,201,186,190,194,196,198,201,203,213,212,175,162,138,162,201,203,173,183,196,172,128,103,203,208,207,206,205,205,204,187,191,195,198,200,202,203,215,218,170,149,155,178,166,151,125,171,217,205,167,118,184,209,209,208,207,207,205,187,191,195,197,201,201,203,214,230,185,141,141,135,130,128,175,194,206,202,166,133,140,212,210,210,208,207,206,187,191,193,195,200,201,202,207,229,204,145,147,157,179,204,222,219,205,188,154,113,134,211,210,209,209,208,207,187,191,193,196,200,201,202,205,227,224,164,155,169,183,221,229,225,203,177,146,102,141,211,209,209,209,208,207,188,192,194,198,200,201,203,204,226,234,189,162,181,176,219,237,230,202,168,137,97,156,211,211,211,210,209,208,189,192,194,197,200,201,203,205,218,233,207,174,200,169,208,237,228,196,158,126,94,170,212,212,212,210,209,209,189,192,194,197,200,202,204,206,210,226,218,190,206,176,188,232,217,184,151,117,91,179,214,212,213,211,209,208,184,189,192,195,198,201,202,205,204,216,222,207,200,182,160,222,210,179,143,111,90,189,214,213,213,212,212,211,118,123,127,132,136,139,142,146,149,179,226,215,193,173,150,193,198,167,130,106,97,188,202,208,213,216,212,210,100,98,99,101,101,102,104,105,104,132,218,203,182,164,145,164,180,152,119,102,99,116,154,205,204,202,218,209
1,161,163,165,166,167,168,168,168,169,169,169,169,168,168,168,166,165,168,164,163,162,162,161,159,158,157,156,156,163,164,166,168,169,170,170,170,170,170,171,170,170,170,169,170,162,140,166,166,163,162,162,161,160,158,157,157,164,166,169,170,171,172,172,172,172,171,172,172,172,172,169,180,166,98,149,162,165,164,164,163,162,161,160,158,166,168,169,171,173,174,175,175,175,174,174,174,172,176,159,162,164,109,150,119,156,169,166,164,163,163,161,160,168,170,172,173,174,176,177,176,176,176,177,177,174,186,145,131,152,110,162,114,144,174,167,166,166,164,163,162,170,171,174,175,176,177,178,177,178,178,178,178,178,189,134,133,155,113,158,112,133,178,169,169,168,166,165,164,171,173,174,178,178,178,180,180,180,180,180,178,172,186,121,131,153,113,156,115,126,180,171,172,170,169,168,166,173,175,177,179,180,181,181,182,183,182,183,182,139,176,119,126,151,112,155,124,125,180,174,174,172,171,169,168,174,177,179,181,182,182,183,183,183,183,191,169,121,167,112,139,153,111,149,123,125,181,174,175,174,172,171,171,176,178,180,181,183,184,184,184,185,184,195,152,114,155,109,166,156,115,163,137,122,184,177,177,175,174,173,171,177,179,182,184,183,184,187,188,187,186,197,141,122,167,115,162,141,112,179,143,127,185,179,179,176,175,174,174,178,181,184,186,186,188,188,189,188,193,196,121,128,161,99,140,115,107,176,132,130,187,179,180,178,177,176,175,180,182,184,187,188,190,189,190,188,199,193,128,156,136,109,141,128,144,172,127,131,188,181,182,180,178,177,176,182,183,186,188,190,191,190,191,188,206,180,122,172,162,155,147,139,163,157,125,133,190,181,182,183,181,180,177,183,184,187,189,191,192,192,192,191,207,178,158,141,168,182,181,149,126,132,118,132,192,185,184,183,181,180,178,184,186,188,189,191,192,193,192,197,204,182,159,119,140,148,174,177,155,124,99,129,194,187,186,185,183,182,180,184,187,189,189,191,193,194,192,203,202,162,138,129,133,137,167,184,176,160,115,125,197,186,188,185,184,184,182,185,189,190,191,192,194,195,192,209,205,154,141,147,140,161,180,181,190,167,146,114,179,192,188,187,184,183,182,186,189,191,192,194,195,197,193,212,205,161,147,149,149,182,202,189,180,161,145,107,168,195,188,188,186,184,183,187,190,192,193,194,196,196,194,209,209,175,156,145,159,200,210,190,167,143,128,107,168,196,188,188,188,186,183,187,190,193,194,196,197,197,195,206,217,191,161,151,156,210,217,184,152,130,112,107,167,197,189,189,189,186,184,188,190,193,195,197,199,199,197,203,214,190,165,156,147,209,204,173,144,125,109,113,184,196,192,191,189,188,186,189,191,194,196,197,197,199,199,201,208,187,174,157,154,199,187,162,137,120,108,129,196,193,193,192,189,189,187,189,190,194,196,197,198,199,200,200,202,195,191,166,176,192,171,149,129,117,108,163,199,193,193,192,190,189,188,190,192,194,196,198,199,198,200,199,198,199,192,163,160,172,158,136,122,112,120,190,196,195,193,192,191,190,188,190,192,195,196,198,199,200,201,202,200,193,177,157,146,152,148,133,121,109,138,202,196,196,195,193,191,190,189,191,192,194,197,199,199,200,200,201,201,187,165,155,156,152,150,146,121,107,163,203,196,195,194,193,191,190,190,189,191,193,196,197,198,199,199,199,198,195,177,177,171,155,144,144,115,105,182,199,195,195,194,192,190,189,189
13,192,193,197,200,203,206,209,210,214,214,215,217,219,218,219,219,218,221,223,221,221,221,220,221,222,222,222,222,193,196,200,201,204,208,210,212,215,216,217,219,220,219,221,219,220,217,214,224,222,223,222,223,223,224,224,224,195,197,201,204,206,209,211,213,216,216,218,222,221,220,223,222,225,202,154,166,230,224,224,223,223,224,225,225,197,200,202,205,208,211,213,214,217,217,220,221,220,222,222,231,241,203,149,115,231,220,228,228,224,225,226,227,199,201,204,207,209,212,216,217,218,218,221,220,226,202,172,192,237,198,147,111,169,156,157,205,233,228,229,228,199,202,204,208,211,214,216,218,220,222,223,229,254,199,157,146,227,190,150,89,154,172,117,125,236,228,230,228,200,203,206,209,212,216,217,219,223,223,221,220,239,225,177,152,218,181,130,111,211,187,124,101,214,235,229,230,201,204,208,210,214,217,219,222,221,223,224,171,140,190,191,140,213,206,116,155,226,175,126,102,218,236,231,233,203,206,209,211,215,218,220,222,222,238,222,177,137,132,189,128,231,220,130,174,217,167,121,107,229,235,234,234,204,207,211,214,218,220,221,221,235,223,224,195,155,119,174,140,150,169,102,172,243,185,111,117,239,235,236,236,205,209,212,215,217,220,222,226,233,189,217,198,153,108,149,164,77,53,96,184,219,161,86,141,246,233,237,238,205,209,213,216,218,221,222,232,233,193,187,192,153,101,129,160,105,38,112,199,178,129,93,188,249,235,237,237,206,209,212,216,219,222,225,238,228,191,169,202,146,108,117,146,111,88,163,198,196,185,149,145,245,238,238,238,207,209,212,216,220,222,224,243,229,198,160,193,143,108,108,166,128,153,236,200,179,164,146,107,207,248,237,239,208,210,213,217,221,223,225,243,225,195,157,175,154,122,111,197,159,200,228,210,181,147,129,109,213,248,238,239,208,211,214,217,221,224,228,243,227,206,183,156,153,141,92,186,208,237,222,199,173,138,119,120,236,243,241,241,209,212,216,219,222,223,230,245,229,210,193,170,139,123,136,229,236,241,218,190,163,133,112,136,248,243,245,244,209,213,215,218,221,223,228,242,229,210,197,192,161,153,169,230,237,234,204,174,149,126,107,183,252,242,244,243,208,212,215,218,221,224,226,234,229,217,204,198,171,153,152,222,240,221,185,158,139,117,127,239,243,242,243,243,208,212,215,219,222,224,226,227,227,219,204,201,180,157,159,216,235,205,176,148,131,104,172,251,240,242,242,242,210,213,216,219,222,225,227,228,230,222,205,198,183,160,164,203,216,186,164,140,124,106,212,245,242,243,243,244,211,214,216,221,222,223,226,229,231,221,203,195,177,153,165,197,185,169,149,131,114,141,245,240,244,243,244,244,211,214,216,220,223,224,227,228,232,211,194,183,158,145,172,183,163,159,137,124,107,206,248,241,244,244,244,245,211,213,216,218,223,226,223,228,232,201,192,173,155,157,178,178,160,151,135,111,160,246,241,243,244,244,245,245,214,218,221,223,227,232,221,237,233,205,198,173,160,173,187,165,155,133,120,119,226,246,241,242,243,243,244,244,175,181,188,194,199,199,208,241,235,212,210,174,168,185,176,152,141,123,101,178,253,245,247,249,251,252,251,250,124,127,128,129,131,121,173,238,217,210,209,177,171,181,168,141,125,114,107,150,171,172,178,177,181,189,191,202,136,137,136,134,137,122,183,235,206,196,192,171,164,178,166,127,120,108,112,130,130,131,130,139,158,172,173,186
20,159,162,165,168,171,173,175,176,177,179,180,179,177,177,177,176,175,161,165,172,172,171,170,168,167,166,165,164,160,163,167,170,172,175,177,178,179,180,181,181,180,179,179,181,178,141,142,166,168,171,171,169,169,168,167,166,161,165,168,171,174,176,178,180,181,182,182,182,181,181,180,186,178,130,120,146,144,165,172,171,171,170,168,167,163,166,169,173,176,178,180,182,183,183,184,183,183,182,182,190,177,126,118,143,121,154,174,174,173,171,170,169,165,168,171,174,177,180,182,184,185,185,186,186,185,184,185,197,180,128,123,145,118,149,175,176,175,173,172,171,166,170,173,175,179,181,183,185,186,186,187,187,187,186,188,200,176,127,130,150,123,149,177,177,176,175,173,172,168,171,174,177,180,182,185,186,187,187,188,188,188,188,192,196,161,121,144,159,127,147,178,179,178,176,175,173,170,173,177,179,181,184,186,188,188,189,190,189,188,187,198,193,151,112,148,157,123,146,179,180,179,178,177,175,171,175,178,180,183,185,187,189,190,191,192,189,174,165,194,189,141,112,155,153,118,149,181,182,181,180,178,176,173,176,179,182,185,187,189,190,192,193,194,194,166,136,169,161,116,122,166,151,118,155,184,184,182,181,180,178,174,177,180,183,186,188,190,192,194,194,196,200,177,143,136,112,89,125,159,138,115,162,186,184,183,182,181,180,176,178,181,185,188,190,192,194,196,190,175,182,187,159,127,103,94,123,133,115,115,172,187,186,186,185,183,181,177,180,183,187,189,192,194,197,205,194,157,157,184,163,144,132,128,129,109,97,129,183,189,188,187,186,184,182,178,181,185,188,191,193,195,204,214,204,164,152,173,168,157,148,148,133,96,87,146,189,190,189,188,187,185,184,180,182,187,189,192,194,197,210,211,204,167,147,173,167,142,136,142,128,99,87,152,192,192,190,189,187,187,186,181,183,187,191,193,195,201,216,204,191,167,130,142,132,94,96,134,137,113,92,146,191,193,192,190,189,188,187,182,185,189,192,195,197,205,216,196,182,163,113,88,77,66,83,138,158,130,97,119,181,194,193,192,190,189,187,183,186,189,193,196,198,207,223,212,191,163,131,91,70,100,145,168,170,142,104,95,161,194,194,193,192,190,188,184,187,191,194,196,199,209,227,219,191,162,149,109,103,162,193,185,165,138,106,94,155,195,195,194,193,191,189,185,188,192,195,197,200,210,227,220,188,160,139,118,150,195,191,172,153,122,100,99,167,196,196,195,194,192,190,186,189,193,196,198,201,209,225,217,191,171,141,152,197,199,175,155,147,115,90,111,183,198,197,196,195,193,191,187,190,194,197,200,203,209,222,216,196,178,150,176,206,191,169,151,141,115,86,134,194,200,199,198,196,194,192,187,191,195,198,201,203,208,217,213,197,179,153,170,189,177,160,141,126,103,96,166,200,201,200,198,197,195,193,188,191,195,198,201,199,193,206,210,196,173,145,146,160,156,141,121,105,89,130,192,203,202,201,199,197,195,194,187,190,194,198,197,166,123,156,191,184,152,127,126,137,144,128,104,84,103,175,203,203,202,201,200,198,196,194,186,189,193,195,170,109,72,90,137,154,136,125,127,133,141,118,90,91,154,199,203,203,202,201,199,197,195,193,187,190,193,176,117,73,64,65,83,117,132,131,129,130,130,104,86,135,194,205,204,203,202,201,199,197,195,194,187,191,188,138,83,68,61,60,62,80,108,119,122,120,110,88,98,174,206,206,204,203,202,201,200,198,196,195
1,154,158,163,167,170,173,176,178,180,181,183,185,186,186,186,186,185,183,182,184,184,184,184,181,180,179,178,177,155,160,164,168,172,175,178,180,182,184,185,187,187,187,186,187,186,169,169,184,185,184,184,182,181,180,179,179,157,161,166,170,173,176,179,181,184,187,188,188,189,188,170,177,188,151,141,181,186,185,185,184,182,181,180,180,158,162,168,172,175,178,181,183,186,188,189,190,193,190,147,158,186,142,126,163,177,186,186,186,185,184,182,181,161,164,169,174,177,180,183,186,188,189,191,191,194,187,138,157,181,134,123,139,148,184,188,187,187,186,184,183,162,166,171,175,179,182,185,187,189,191,193,184,168,168,133,164,181,134,138,144,130,179,189,188,188,187,186,185,164,168,173,177,180,183,186,188,190,193,196,174,131,146,136,172,187,141,150,148,123,175,191,190,189,188,187,187,165,169,174,178,181,184,187,190,193,195,198,162,113,136,136,168,178,140,157,152,122,174,193,193,191,190,189,188,166,171,175,180,183,186,188,191,194,197,197,151,104,126,126,156,167,135,165,160,126,174,195,194,193,191,190,189,167,172,176,181,184,187,190,193,195,200,197,144,106,134,126,160,167,134,169,159,127,175,195,195,194,193,192,191,168,173,178,182,185,189,192,195,197,204,195,139,108,140,123,160,162,132,174,159,128,177,196,197,196,195,193,192,170,174,179,183,187,190,194,196,198,208,197,139,102,121,108,147,145,131,176,161,132,180,198,198,197,196,195,194,170,175,180,184,188,191,195,197,200,212,196,146,121,132,134,159,161,146,158,150,131,183,200,200,199,197,196,195,171,176,181,185,189,192,195,198,204,214,193,155,137,161,178,187,190,169,136,126,128,186,201,201,200,199,197,197,171,177,182,186,190,193,196,199,210,212,179,142,119,131,160,170,195,195,151,106,119,188,202,201,201,200,199,198,172,178,183,187,191,194,196,200,216,209,170,132,111,108,126,143,191,210,178,117,120,191,203,202,201,201,200,199,173,178,183,187,191,195,197,203,220,205,163,129,119,119,139,169,191,202,180,132,126,190,204,203,203,202,201,200,173,179,184,187,192,195,198,205,221,202,164,134,129,134,166,201,198,183,155,122,115,181,205,204,204,203,202,202,172,178,183,187,191,195,198,207,223,204,170,143,138,150,191,213,195,168,134,104,106,180,206,205,204,203,203,202,173,178,183,187,190,194,197,207,222,204,171,149,142,159,205,219,190,157,122,92,106,185,206,205,204,203,202,201,173,178,183,187,191,195,198,206,221,206,177,161,147,159,207,216,182,145,113,88,122,194,207,205,204,204,203,202,174,179,184,188,192,196,199,205,219,209,187,175,152,158,206,204,171,133,102,94,159,204,207,206,206,205,203,202,174,179,184,188,192,196,199,204,217,213,193,179,153,160,199,189,160,122,92,114,189,208,207,207,206,204,203,202,174,178,183,188,192,196,199,204,219,214,192,172,147,160,186,170,146,110,89,144,203,208,207,207,205,204,203,202,169,173,178,184,189,192,194,201,219,211,188,163,143,158,170,154,131,99,98,169,202,203,203,202,201,200,199,198,142,144,146,149,151,154,157,185,218,207,187,163,150,159,157,143,119,91,98,144,157,157,158,158,158,157,156,155,117,115,115,116,116,117,127,186,217,205,189,167,158,153,142,128,102,84,94,107,109,109,109,109,107,106,105,104,117,116,116,117,117,117,137,201,210,193,184,171,157,141,128,113,88,86,102,106,106,105,105,105,104,103,103,103
24,151,155,158,163,165,166,169,172,174,174,175,175,176,177,177,177,177,177,179,178,178,178,178,177,176,175,174,173,154,158,163,166,168,170,174,175,176,177,177,178,179,179,180,181,181,182,182,181,182,182,181,181,180,177,177,176,156,160,164,168,172,175,177,177,179,180,180,181,183,183,183,183,182,183,182,182,182,183,184,184,182,182,181,180,158,162,168,172,176,178,179,181,183,182,183,183,184,184,187,186,186,186,185,186,186,186,187,186,185,184,183,182,163,170,169,175,179,180,181,183,184,185,186,187,188,189,189,188,189,190,190,190,190,189,190,189,187,187,185,183,142,129,179,176,181,182,184,186,186,188,189,189,190,189,191,191,191,193,192,192,193,192,192,191,190,188,187,188,131,70,179,180,183,184,187,190,189,189,192,194,194,192,194,193,196,196,194,195,196,195,194,196,197,195,196,190,130,61,171,183,185,188,189,192,196,199,195,186,182,201,195,197,197,197,197,198,197,198,198,191,175,140,143,200,115,44,173,187,188,190,196,191,163,161,197,159,115,133,204,198,197,198,199,199,199,199,190,155,127,62,121,206,103,42,172,191,183,141,146,198,145,100,163,172,141,91,165,208,198,199,200,200,202,199,189,149,71,101,205,198,121,52,158,196,200,157,127,188,165,139,137,187,167,124,116,211,200,202,202,203,201,197,182,111,71,202,202,198,134,74,144,197,209,204,159,145,195,168,119,156,187,135,89,194,206,203,205,205,199,193,157,57,126,216,200,201,161,142,156,188,187,212,193,120,154,193,138,106,180,121,56,185,216,207,202,190,191,170,86,67,202,206,203,202,184,180,168,186,169,157,201,110,74,197,162,76,98,85,34,155,185,179,167,155,158,102,52,186,216,206,205,205,176,191,184,180,178,158,154,103,45,129,129,56,10,55,88,143,172,177,155,123,100,49,151,223,207,208,208,207,181,198,183,181,177,153,138,113,75,50,70,30,13,103,182,196,191,172,135,99,62,101,224,209,210,210,210,208,184,195,184,144,155,149,131,122,99,80,83,80,142,182,195,192,174,151,110,66,52,198,219,212,213,211,211,210,186,191,194,167,132,136,166,147,139,117,108,169,204,198,192,180,159,128,84,36,138,227,213,216,215,213,213,212,188,189,205,206,166,134,138,159,183,181,184,212,204,197,184,164,136,98,44,104,227,214,217,216,215,214,213,214,186,189,196,210,186,154,134,147,167,202,211,206,205,197,171,139,105,60,63,210,220,217,216,216,217,216,215,213,187,194,190,203,210,174,148,149,173,205,212,214,212,186,146,110,77,38,159,227,214,217,216,216,216,215,214,211,188,194,194,208,223,208,171,167,177,213,226,216,199,158,117,82,45,84,224,216,217,217,216,216,215,215,214,218,188,192,195,196,212,224,194,176,181,208,220,204,170,126,89,60,34,178,227,218,221,221,219,219,216,218,210,203,191,193,199,186,181,207,194,182,182,186,189,181,147,102,65,30,86,227,215,219,220,220,217,219,223,206,197,119,182,188,193,198,176,179,186,179,173,154,149,160,136,87,53,27,166,235,226,226,226,226,224,225,199,188,219,179,90,97,98,106,105,154,185,169,153,132,134,148,122,88,56,39,146,179,180,184,188,197,202,193,199,178,175,109,78,78,77,78,70,108,173,132,126,127,146,160,120,97,75,42,66,78,76,78,80,82,89,177,219,170,164,111,82,86,93,92,89,86,148,126,137,153,158,163,125,92,87,48,76,96,95,95,90,90,137,139,196,207,80,148
23,161,163,163,163,164,164,165,165,165,165,165,165,165,165,165,166,165,165,164,164,164,163,163,163,162,161,162,153,163,164,164,164,166,166,166,166,167,168,167,167,167,166,167,168,168,166,165,165,164,164,164,163,162,163,161,162,163,165,166,167,167,168,168,168,168,168,169,168,168,168,168,168,169,169,169,166,166,165,165,164,164,164,163,163,165,167,168,168,167,168,168,168,169,169,169,169,169,169,169,169,170,171,169,168,168,168,168,168,167,166,165,164,167,168,168,169,169,169,170,170,169,170,170,170,170,170,170,170,170,172,169,169,169,164,165,166,166,168,167,166,168,168,169,170,171,171,171,171,170,171,171,172,170,170,170,171,171,169,176,184,179,172,167,135,113,174,167,168,169,169,170,170,170,172,172,171,171,172,173,173,173,172,173,173,171,182,191,187,152,137,136,103,125,175,168,169,170,170,171,173,172,174,174,174,174,174,175,173,175,175,173,174,189,190,172,147,94,126,143,155,174,171,171,171,171,171,172,173,174,174,174,174,175,174,174,174,175,174,171,186,200,170,105,104,149,179,175,174,171,171,171,171,172,172,173,174,174,174,175,174,175,175,175,175,176,173,178,194,200,137,83,168,181,174,172,175,175,171,173,173,172,173,174,175,174,175,176,175,175,176,176,176,177,174,189,193,192,145,152,179,155,168,177,163,164,176,174,174,173,173,174,175,175,175,176,176,176,175,176,176,177,177,187,186,176,187,190,187,136,126,165,150,131,178,174,173,173,174,175,175,176,175,175,177,176,176,171,158,163,175,178,180,120,160,161,166,136,94,147,158,110,178,175,175,174,175,175,176,177,177,176,178,177,183,180,161,140,152,162,181,166,185,184,170,126,80,120,139,104,180,176,175,175,176,177,177,177,177,178,178,179,191,191,186,166,156,148,146,139,143,163,171,139,82,74,96,84,167,180,176,174,175,177,177,176,177,179,179,177,189,197,189,185,169,153,164,150,134,128,132,135,103,67,80,76,122,185,176,173,174,176,176,176,176,177,179,175,185,199,186,180,161,126,140,167,160,146,130,95,110,77,71,81,100,182,176,173,175,176,176,176,176,177,179,174,185,197,192,189,136,104,94,134,138,129,110,80,106,82,66,77,134,183,174,175,175,176,177,176,177,177,180,173,185,197,200,186,131,90,61,93,151,117,77,88,118,87,65,92,172,178,175,175,175,176,177,177,178,178,180,170,186,200,196,171,136,99,49,114,137,92,56,110,121,89,67,143,184,175,176,174,175,175,176,177,178,178,178,171,189,200,187,160,129,103,58,99,107,49,57,124,110,73,94,182,178,177,177,174,174,174,175,176,177,179,177,175,192,197,179,153,126,101,56,87,85,38,92,118,86,67,146,185,176,179,178,178,178,178,179,180,181,182,177,180,198,192,169,148,127,104,62,82,72,49,108,98,69,84,177,179,177,178,177,151,153,155,158,161,165,170,166,182,190,182,158,140,124,106,66,74,72,71,86,84,74,143,189,183,185,184,183,94,93,92,95,98,98,93,115,183,183,173,145,135,137,104,71,65,75,95,90,79,84,139,144,146,149,152,153,97,96,95,95,95,97,89,113,181,180,165,142,148,147,98,83,70,85,102,99,86,90,86,87,89,85,84,91,97,98,97,97,97,99,92,125,184,173,167,151,156,147,106,89,79,89,96,92,90,98,96,97,100,117,145,167,96,98,98,98,98,101,90,136,192,182,178,163,160,146,114,91,82,86,92,90,99,106,120,151,173,186,180,181
2,164,164,165,166,166,166,166,166,166,165,166,165,165,165,165,165,164,165,164,163,162,160,160,161,149,75,45,57,167,168,169,168,168,168,168,168,168,169,169,169,168,168,168,165,159,165,165,164,163,163,164,165,143,65,54,62,172,173,173,171,171,172,172,172,173,173,173,173,171,175,174,145,106,132,147,138,165,167,167,167,154,82,63,59,175,175,175,174,174,175,175,176,176,175,175,178,180,172,139,102,76,82,99,84,121,159,169,168,165,106,65,63,178,178,178,177,177,178,178,179,178,180,191,193,158,112,85,71,64,64,73,64,68,132,173,171,172,123,64,54,181,181,181,180,181,181,181,182,180,191,198,172,108,67,64,60,55,51,59,61,63,131,175,173,174,143,68,40,183,184,184,183,183,184,185,184,184,204,177,114,74,53,54,57,53,50,57,68,101,164,176,174,174,164,78,36,186,186,187,187,187,186,187,186,194,208,143,80,62,55,49,54,60,77,115,147,172,179,179,177,177,172,112,92,188,188,189,190,189,189,189,186,205,195,125,79,63,67,58,62,83,143,182,183,183,183,181,179,179,177,143,129,189,191,192,192,192,192,191,196,209,172,107,67,60,64,62,89,157,185,186,186,186,185,183,182,182,182,122,145,192,193,193,193,193,193,191,206,205,157,104,70,62,58,69,123,194,191,189,188,187,187,187,185,184,182,134,167,194,195,196,196,195,195,197,218,198,148,104,84,73,63,70,145,196,194,193,190,190,189,188,187,186,184,168,157,195,196,197,198,197,195,207,225,187,135,97,82,78,75,79,175,197,195,194,194,193,192,191,189,187,188,186,164,197,197,198,200,199,196,217,221,176,124,88,77,73,77,97,191,198,197,195,195,194,194,194,192,190,191,188,181,198,199,199,199,197,198,226,210,167,121,88,74,72,76,108,196,199,197,195,195,195,194,194,194,193,193,190,184,200,200,200,201,197,212,225,197,156,113,87,76,76,74,121,203,201,199,198,197,197,196,196,195,194,194,194,191,201,202,202,202,200,225,219,185,144,105,85,74,70,68,110,197,202,201,201,201,200,198,193,184,177,171,176,190,203,203,204,199,203,228,212,176,136,100,81,69,67,74,79,142,204,203,203,200,186,175,166,161,154,142,124,147,204,205,206,197,215,225,204,165,126,97,77,60,69,79,81,90,168,194,185,168,161,160,165,157,140,126,118,136,206,207,203,202,226,221,194,152,117,94,70,57,76,82,89,95,105,127,142,158,168,157,138,117,127,165,185,192,208,208,200,215,227,214,184,144,112,90,65,66,90,97,107,109,110,119,140,155,147,123,104,131,188,200,201,201,209,205,205,227,224,206,172,137,108,89,66,78,101,111,116,114,113,117,126,120,117,135,164,195,203,202,200,200,206,204,222,226,217,198,165,129,99,86,72,90,108,117,118,113,104,98,102,131,176,201,206,206,205,203,202,201,199,213,226,221,211,192,156,119,94,86,80,102,113,117,110,99,92,104,155,200,208,209,208,207,207,205,205,205,207,217,219,211,196,169,134,105,92,84,87,104,110,110,96,94,139,185,208,210,210,211,210,209,208,207,207,207,214,215,209,191,170,143,117,97,90,85,92,99,102,98,95,153,208,214,212,211,212,212,212,212,210,209,208,207,211,209,193,169,150,130,107,93,89,90,91,91,94,110,166,211,215,215,214,213,213,213,213,213,211,210,208,207,209,200,180,149,134,113,93,92,93,92,89,89,134,193,215,216,216,216,216,216,215,214,214,213,212,211,210,209
7,177,177,178,178,178,178,178,178,177,177,177,177,176,176,175,174,174,172,171,171,170,171,161,103,92,83,85,104,179,179,179,180,180,180,180,180,180,179,179,178,177,177,177,177,176,173,172,173,172,171,176,120,84,72,80,94,180,181,181,182,183,182,181,182,182,182,181,180,179,179,178,178,177,175,175,174,174,173,178,141,70,64,79,84,182,183,185,184,185,185,184,183,183,183,182,182,182,181,179,179,179,178,177,176,175,175,174,169,77,54,69,79,183,184,186,185,185,185,185,185,185,185,184,184,184,185,183,181,181,180,179,178,178,175,175,178,138,91,74,90,184,185,186,187,187,186,186,187,187,187,186,184,185,174,173,178,176,170,165,169,160,175,173,173,141,142,154,142,186,188,189,190,190,189,189,189,187,187,186,188,188,169,158,177,183,170,158,161,148,183,170,159,107,160,178,166,189,190,191,191,190,191,191,191,192,196,201,200,190,172,167,172,160,160,146,145,140,138,138,166,129,172,137,153,189,191,191,192,192,189,187,196,205,207,206,197,188,180,180,172,138,138,161,150,145,136,133,136,126,148,125,179,190,193,194,193,207,199,189,192,198,197,193,190,189,189,183,167,151,145,161,158,152,153,139,119,121,151,135,180,191,194,192,205,220,206,195,189,193,195,194,193,191,187,185,165,152,145,138,130,127,125,116,111,104,115,137,171,193,194,194,218,220,207,182,174,184,194,194,191,183,171,161,143,133,125,119,125,129,136,135,141,151,157,177,183,196,194,202,225,216,199,171,173,182,173,168,160,150,143,132,120,117,173,192,185,189,190,188,189,187,187,174,127,198,194,217,222,212,194,185,181,170,161,165,168,163,159,154,161,141,111,176,195,189,188,186,185,183,182,184,132,194,202,227,219,217,214,212,189,169,174,175,173,164,155,153,149,136,86,75,182,194,189,188,187,185,183,184,171,191,216,226,222,221,221,218,184,155,166,165,160,153,148,142,133,118,94,60,157,199,189,189,188,186,185,183,183,205,227,225,223,220,217,206,176,160,149,129,116,125,138,147,153,155,102,86,182,194,191,191,190,189,186,185,183,224,227,226,223,219,210,199,183,167,152,135,134,162,178,166,156,167,122,176,198,192,192,192,190,189,187,185,183,225,227,226,222,213,206,191,172,171,173,154,162,172,162,152,145,141,112,189,198,194,194,193,191,189,188,187,185,226,226,224,220,208,190,170,176,190,181,161,160,157,150,145,138,115,104,197,198,196,194,193,192,191,189,188,186,227,224,221,215,198,185,188,202,200,184,165,142,130,118,107,96,97,162,202,196,198,196,194,193,192,191,188,186,224,219,213,205,198,199,202,197,189,169,144,117,116,128,103,143,184,203,199,199,198,197,195,193,191,191,188,187,217,211,206,204,204,204,190,181,178,162,136,118,181,208,199,208,205,201,201,199,198,197,197,195,192,191,190,189,207,206,207,202,198,196,184,180,171,141,111,182,212,203,205,202,201,202,202,200,198,198,197,196,194,193,191,188,200,197,201,196,188,184,180,167,140,106,171,214,204,205,204,203,203,203,203,201,201,199,198,196,195,192,192,184,200,195,191,182,173,171,161,138,103,160,214,204,205,204,204,203,202,202,201,199,198,198,197,196,194,196,192,175,196,189,178,163,156,148,126,104,162,213,207,207,206,205,204,203,202,202,201,199,199,198,197,194,196,177,172,185,178,167,152,138,129,116,100,164,216,206,208,207,207,206,204,203,202,202,201,200,200,198,197,196,189,100,82,138
1,54,56,61,65,77,96,110,116,119,125,131,136,140,143,150,150,152,154,155,156,158,160,161,161,162,163,163,163,55,58,63,67,80,98,112,119,122,129,134,138,142,157,135,153,156,155,156,157,157,160,161,161,161,162,162,162,56,60,64,69,83,102,116,121,126,134,138,139,156,185,98,127,146,158,157,158,159,159,161,161,161,161,162,161,57,60,66,69,86,105,119,125,131,136,150,143,148,193,93,107,112,135,168,162,163,162,162,163,162,163,162,162,58,61,67,71,89,109,122,128,136,138,182,153,112,192,92,110,127,97,174,167,168,168,167,166,165,165,164,164,59,64,68,72,92,113,126,131,140,142,187,160,103,177,91,104,137,78,166,174,173,173,173,172,170,170,169,168,61,64,69,75,96,115,128,133,143,144,191,162,91,171,111,104,144,81,157,184,177,178,178,177,175,175,174,173,61,65,70,78,100,119,131,136,148,153,181,166,83,144,110,106,160,90,147,192,183,185,183,182,180,179,178,177,62,66,70,80,104,123,134,136,164,161,153,167,80,121,109,92,154,89,143,198,187,188,189,187,185,184,183,182,64,68,71,84,108,126,138,135,191,152,141,164,81,138,122,90,176,109,140,203,191,193,193,192,190,190,190,188,64,69,72,86,111,130,140,140,198,134,136,179,90,131,121,91,185,125,134,207,196,198,198,196,195,194,194,192,66,70,72,88,115,133,142,148,201,125,120,179,83,94,108,91,179,128,124,211,199,200,200,199,199,199,197,196,68,72,74,92,117,136,144,155,206,132,93,165,91,95,107,127,160,115,117,213,203,205,204,204,203,201,201,200,68,72,75,95,121,139,147,159,213,143,70,181,171,132,133,150,134,87,106,213,206,208,207,206,204,204,205,204,68,71,75,98,124,143,149,162,209,133,110,151,138,125,129,120,116,114,89,203,213,210,210,210,209,207,207,207,68,71,76,100,126,145,151,169,214,160,149,111,102,126,129,104,126,154,117,149,223,211,214,214,213,213,212,211,69,71,77,104,129,149,152,180,222,168,133,99,115,108,136,151,173,186,171,108,176,224,213,216,214,214,215,215,69,72,79,108,132,152,153,191,224,163,118,97,116,126,168,216,184,186,191,115,94,214,219,218,217,217,216,214,69,72,80,111,136,156,155,195,227,163,112,105,124,140,191,218,223,194,150,92,82,196,228,219,218,219,226,230,70,72,83,115,139,157,159,192,232,172,112,110,131,159,199,214,219,187,131,87,87,211,224,223,233,227,193,138,71,71,85,117,141,160,160,188,229,185,128,109,140,168,208,221,210,174,127,83,102,227,229,222,161,98,51,32,70,71,88,120,145,162,165,187,226,202,149,114,144,166,213,222,194,160,122,78,122,245,208,95,33,29,36,34,69,70,89,122,146,162,166,183,215,206,164,125,139,167,213,213,187,151,113,69,159,203,74,43,45,19,39,37,67,68,90,123,148,162,166,180,199,204,173,140,142,165,208,201,177,139,104,75,115,61,22,38,57,18,18,46,67,68,92,126,151,165,169,182,191,201,181,154,151,149,197,186,167,126,96,73,60,47,40,15,44,39,5,29,61,62,90,126,153,167,172,184,193,196,182,158,154,137,173,171,148,111,88,65,70,53,38,16,18,50,13,10,80,80,99,129,151,165,172,183,194,195,182,164,156,139,142,160,135,102,76,59,70,55,30,21,7,34,31,1,111,112,111,108,113,120,124,128,129,144,192,170,160,142,127,145,125,94,63,53,66,42,41,18,7,17,40,6
10,94,102,113,119,123,128,131,133,136,139,141,143,144,146,147,149,151,153,154,155,156,157,159,159,160,161,162,163,95,103,114,120,124,128,131,133,137,140,142,143,145,147,150,150,148,147,156,156,158,159,160,160,162,163,165,165,96,106,117,122,125,129,132,135,138,141,143,144,146,149,151,157,147,120,153,158,159,161,162,163,164,166,166,167,99,107,117,122,126,130,134,137,139,142,144,146,148,150,151,165,152,109,144,160,161,162,164,165,166,167,168,168,99,109,118,123,127,131,135,138,140,142,144,147,149,151,151,167,156,113,136,161,162,164,166,166,167,167,169,169,100,110,119,123,127,132,136,139,140,143,145,146,149,152,153,163,162,125,127,163,163,164,166,167,168,169,169,170,102,111,120,123,129,133,137,139,141,143,145,149,153,132,148,165,171,138,117,162,165,165,167,168,169,169,170,171,103,114,122,125,130,134,137,140,143,144,146,152,157,113,118,165,172,146,111,158,166,167,168,169,170,171,172,173,104,115,122,126,130,135,138,141,144,145,147,160,149,114,96,158,164,142,108,153,168,169,169,169,170,171,171,172,106,116,123,127,130,137,145,124,115,112,122,150,158,131,95,140,158,132,104,144,169,170,170,170,172,173,173,173,107,117,123,127,131,139,138,108,84,79,80,101,156,143,99,116,145,120,102,135,170,170,172,172,173,175,175,175,108,118,123,128,133,138,134,113,90,80,91,87,136,153,111,108,126,105,101,124,171,171,172,173,174,175,176,175,109,118,124,129,133,138,142,141,138,121,96,80,128,159,122,97,101,92,99,113,171,171,173,174,175,176,175,175,109,118,123,129,134,138,141,142,166,155,99,77,145,165,130,86,78,88,99,106,168,173,174,175,176,176,175,176,109,119,123,129,133,137,141,143,170,155,103,69,158,168,135,92,73,89,99,95,160,174,175,175,177,176,176,176,111,120,124,129,134,137,156,159,169,160,103,67,172,169,134,96,73,86,96,87,149,176,175,176,177,178,178,178,112,120,125,129,134,137,167,169,164,153,102,108,177,162,131,93,73,80,90,80,142,176,175,176,177,178,178,179,113,120,125,131,134,137,154,168,157,150,125,174,173,155,134,96,76,79,82,82,157,175,175,176,178,178,179,179,115,120,125,131,136,139,145,151,137,155,165,193,173,149,131,100,80,78,75,102,173,174,175,176,178,179,179,180,116,120,126,131,136,140,144,153,137,167,190,191,170,145,125,101,81,75,71,133,176,175,176,176,178,180,180,180,115,120,126,130,135,140,144,168,157,150,188,185,167,143,123,102,82,71,79,160,175,176,176,177,179,180,180,179,115,121,126,131,135,139,145,179,169,145,185,182,166,142,122,103,83,69,105,174,174,175,177,178,179,180,180,180,116,121,126,131,134,139,148,186,178,162,188,179,166,144,123,105,82,70,141,175,174,176,178,179,179,179,180,181,116,121,126,131,135,139,151,191,182,172,184,179,173,147,123,105,78,85,166,174,175,177,178,179,180,180,180,181,117,121,127,133,136,140,151,189,178,176,180,178,178,152,122,103,76,112,174,174,175,176,177,179,180,181,181,182,117,121,126,132,136,140,150,183,172,173,179,178,178,154,122,99,76,142,174,174,176,177,178,179,180,181,181,182,117,122,127,132,136,140,148,170,171,180,181,177,175,150,118,92,94,167,174,174,176,177,178,179,180,180,181,182,116,121,127,132,136,140,145,174,181,186,180,172,170,145,114,86,117,173,173,174,176,177,179,180,180,180,181,182
5,141,142,143,143,144,145,145,145,147,150,149,150,151,151,149,155,151,150,150,150,150,149,149,150,148,147,145,148,145,145,147,148,148,149,150,150,150,150,152,152,153,153,159,132,153,153,152,152,151,149,149,151,151,148,155,114,150,150,151,152,151,152,154,154,154,154,154,158,156,158,178,76,140,159,155,154,152,154,154,151,151,156,129,41,152,154,155,156,156,157,158,158,158,158,159,155,154,185,155,76,154,160,158,158,167,119,144,155,153,146,56,31,158,159,159,160,161,160,161,162,163,159,184,118,130,202,107,114,172,160,158,158,143,80,144,159,164,106,28,43,162,163,163,165,165,166,166,165,166,159,199,124,133,183,85,154,168,166,149,144,90,109,165,160,158,71,40,64,166,167,167,168,169,170,169,168,170,164,199,132,138,150,93,175,170,149,140,100,96,168,166,165,155,61,56,62,170,171,171,171,173,173,173,173,173,171,193,128,127,112,121,182,141,130,114,86,165,170,168,167,169,90,60,62,173,174,174,175,176,176,176,177,176,174,204,143,101,87,160,137,103,103,79,151,180,171,172,170,173,108,56,57,176,178,178,178,179,179,179,179,178,179,208,157,99,99,147,98,90,69,141,184,175,175,173,172,177,132,51,38,179,179,180,180,181,182,181,181,182,182,199,147,99,99,102,98,77,114,194,179,179,179,175,175,178,160,49,32,181,182,183,184,184,183,184,184,186,184,190,162,98,82,81,98,77,159,185,174,188,181,178,179,181,169,121,116,183,184,186,186,186,186,186,186,187,185,191,182,119,77,73,81,94,170,121,118,158,188,185,181,179,183,118,157,185,186,188,189,189,188,188,188,189,189,190,191,139,85,78,75,91,101,105,136,137,149,173,186,187,186,117,193,188,189,190,190,191,190,191,192,192,192,194,205,169,111,78,81,77,91,96,116,156,154,150,162,165,158,168,144,191,192,192,192,194,194,195,194,194,193,197,213,189,133,84,76,87,80,70,102,126,128,146,153,130,121,148,114,192,193,193,194,195,195,195,196,197,197,196,217,201,141,91,70,84,70,114,190,179,163,140,136,169,159,104,121,194,195,195,196,197,196,197,198,199,199,198,222,205,148,98,68,67,98,211,196,201,192,157,175,161,112,153,184,195,196,197,198,199,198,199,199,201,198,197,225,204,151,105,70,47,106,182,207,191,146,159,152,95,143,204,190,197,198,199,200,201,201,200,200,201,200,199,227,201,149,106,65,57,80,84,168,139,145,155,99,105,200,195,193,198,200,200,201,201,202,202,201,203,199,207,227,195,149,106,64,62,88,91,92,115,145,112,114,195,198,197,196,199,201,201,202,202,202,203,203,205,195,208,225,191,148,107,70,67,91,97,110,117,111,108,198,202,198,198,196,200,201,203,203,204,205,204,204,206,196,211,221,186,145,105,72,73,99,105,111,98,94,189,207,200,202,199,198,201,203,204,205,206,206,206,207,204,196,217,213,182,142,102,72,72,100,108,105,83,169,213,200,203,202,202,201,202,204,205,205,206,206,207,211,197,201,228,208,176,134,99,76,71,101,111,88,117,217,205,205,206,204,202,201,204,206,206,207,207,207,208,211,191,224,225,201,171,134,97,78,80,107,103,75,176,214,207,209,207,207,204,202,206,207,207,207,209,208,212,198,203,231,214,196,176,132,93,80,85,105,81,127,217,207,209,208,206,207,205,204,206,207,207,208,209,211,209,191,216,214,208,192,157,111,87,77,88,91,108,207,213,211,210,209,208,206,205,204
18,72,75,77,81,85,92,95,101,108,115,121,125,129,132,134,136,139,142,144,146,149,152,154,155,157,158,158,161,71,75,78,82,88,93,95,101,108,115,121,126,131,132,134,136,140,144,145,148,150,151,153,155,157,158,160,162,72,75,79,82,87,93,96,102,109,116,122,128,132,133,135,137,142,145,146,149,152,154,155,156,158,159,162,163,74,76,80,83,87,93,97,103,111,117,123,128,133,135,136,138,140,144,148,151,153,156,158,158,158,159,163,164,74,76,80,84,89,94,97,104,111,120,125,130,133,135,139,138,148,145,133,147,156,152,150,163,163,162,163,165,74,76,80,83,90,95,98,104,111,120,128,128,135,142,130,141,182,135,105,97,159,163,123,113,164,165,165,166,74,77,80,82,89,95,99,108,114,122,127,124,185,151,104,148,172,138,133,137,182,161,122,86,100,167,165,166,75,78,81,83,90,96,99,108,111,125,120,158,209,151,114,164,167,143,154,161,160,134,127,118,72,133,175,167,76,79,81,84,91,98,102,103,128,173,122,130,192,151,142,137,148,136,143,146,127,118,135,128,100,95,177,169,77,80,82,86,92,96,103,96,190,191,145,105,156,174,144,112,112,129,109,115,92,136,142,133,124,81,135,183,77,80,82,85,93,98,95,116,210,189,167,137,115,184,147,114,95,159,107,68,84,166,147,149,139,107,82,160,77,79,82,85,92,99,89,145,178,180,184,157,95,138,159,119,77,146,141,92,48,133,152,164,152,120,91,90,78,80,82,88,93,101,89,157,143,138,171,134,90,89,135,104,71,96,113,73,61,134,171,180,156,124,104,82,78,80,82,88,93,100,89,177,172,133,146,91,80,62,90,84,56,60,58,96,179,183,164,164,147,124,108,94,78,80,82,86,94,97,92,190,176,147,150,84,74,51,78,82,46,27,108,195,190,172,165,144,127,113,105,87,77,80,83,87,95,94,112,204,172,141,130,93,70,40,76,73,40,92,198,202,192,172,152,131,107,99,93,93,78,80,82,87,93,94,107,221,191,165,151,124,92,79,81,76,104,187,206,202,190,160,142,120,98,92,80,128,79,80,83,89,93,95,104,218,202,181,166,141,121,126,117,125,180,204,203,196,173,147,129,112,94,86,83,165,77,80,83,89,94,98,102,218,210,188,166,144,133,138,136,161,196,197,195,180,156,137,119,103,93,77,108,185,78,81,83,88,94,99,99,212,209,188,168,153,150,145,151,177,192,196,182,160,148,128,110,102,95,73,146,186,79,81,83,89,94,100,97,194,211,192,176,166,161,158,166,179,182,184,162,142,134,117,103,96,87,90,179,181,79,81,84,91,96,102,97,167,213,196,193,179,164,158,163,166,166,162,147,131,120,107,96,94,76,135,186,177,79,81,85,92,97,101,102,138,210,201,206,189,170,154,143,144,147,143,139,120,107,99,93,83,87,176,180,180,79,81,85,92,95,100,110,112,195,202,195,188,170,149,135,130,135,134,132,115,99,96,95,70,128,185,178,181,79,80,85,91,96,100,113,110,157,200,173,170,162,145,130,128,131,135,133,118,102,97,87,73,166,181,180,184,79,81,85,91,97,99,109,117,126,187,173,155,144,128,128,134,119,125,130,117,100,95,75,95,182,177,180,183,78,81,86,92,95,100,112,122,119,166,159,139,143,133,145,149,120,116,129,117,99,94,69,113,188,177,180,183,76,80,85,91,94,101,110,121,121,151,168,148,156,144,141,144,124,107,121,117,99,90,66,104,187,179,182,183
10,153,154,154,155,156,157,158,158,158,158,158,157,157,157,155,155,154,153,151,150,148,156,146,114,139,141,139,138,157,157,158,160,160,160,161,162,162,162,161,161,161,160,159,159,157,155,155,154,151,165,153,98,134,143,141,140,162,162,163,164,165,165,166,166,167,167,165,165,165,165,164,163,161,160,159,158,155,169,153,98,130,147,144,143,167,168,168,169,170,170,170,171,171,170,170,170,170,169,168,167,165,164,162,162,159,172,147,93,129,152,148,146,171,172,173,174,174,174,174,174,175,175,175,176,175,174,173,171,170,169,167,166,164,176,150,96,130,156,152,151,174,175,176,178,178,178,179,179,180,180,179,180,180,179,177,176,174,172,171,170,168,183,155,104,135,160,156,154,178,179,180,180,181,182,182,183,183,182,182,183,184,182,181,180,178,176,175,173,174,189,155,136,136,162,160,157,181,183,183,184,184,185,186,186,186,186,186,186,186,186,184,183,182,181,179,178,177,184,168,153,103,160,163,160,183,185,186,187,188,188,189,189,188,188,188,188,189,189,188,187,186,185,182,178,158,151,168,150,87,143,168,164,187,188,189,190,191,190,191,191,191,191,190,191,192,192,192,190,188,187,186,188,178,149,134,134,96,95,164,168,190,190,192,193,194,194,194,195,195,194,195,195,195,195,194,194,191,180,165,173,184,166,137,109,98,77,123,172,194,194,195,196,196,196,197,196,197,197,197,197,197,197,193,188,191,173,138,112,125,169,171,134,85,78,93,171,196,196,197,198,198,198,199,199,199,199,199,200,199,197,178,146,156,186,161,113,53,115,157,114,73,67,97,175,198,198,199,200,200,200,201,201,201,201,201,201,200,196,185,159,131,175,183,137,67,48,74,111,95,69,105,180,199,200,201,201,202,202,202,202,202,202,203,203,200,189,185,181,149,142,185,150,96,50,58,138,133,79,111,182,201,201,202,203,204,204,204,204,205,205,205,204,199,174,150,171,155,107,151,156,104,59,78,141,150,90,108,183,202,203,204,205,206,206,206,207,207,207,207,205,199,180,132,125,136,83,104,157,109,69,90,137,141,85,106,184,203,205,206,207,208,208,208,208,209,208,209,206,193,175,145,112,122,95,87,152,147,98,94,134,109,72,123,188,204,207,207,207,208,209,209,210,210,209,209,206,199,199,174,126,116,114,94,141,165,117,87,117,89,68,156,190,207,208,208,209,209,210,210,210,211,211,211,210,200,205,187,151,124,116,115,163,161,107,83,102,82,83,182,191,208,209,210,210,210,211,212,211,212,213,214,214,201,202,195,165,136,129,144,194,189,147,112,100,76,109,193,192,208,209,211,211,212,212,213,213,214,215,216,215,203,191,191,174,151,141,150,193,191,164,127,98,71,140,196,193,206,208,209,210,211,210,211,212,214,215,215,215,207,187,188,181,169,154,151,186,182,152,115,88,75,171,197,194,207,208,209,210,211,211,211,212,215,215,215,215,213,190,179,184,178,157,141,170,161,134,101,72,99,192,194,193,209,208,210,212,212,214,214,214,215,216,216,216,216,202,174,176,170,153,133,146,144,118,87,64,145,198,194,193,210,210,211,212,213,215,215,215,215,216,217,217,216,213,187,175,163,148,132,132,141,115,77,90,188,198,195,193,203,205,207,209,211,213,214,214,215,216,217,218,218,213,194,177,162,154,143,131,136,107,70,137,200,197,196,194,137,139,143,148,151,156,161,166,169,173,177,181,187,187,189,181,166,166,150,134,131,99,70,159,198,195,187,154
0,222,223,226,228,229,231,235,235,236,238,238,238,239,241,244,241,244,244,243,244,244,244,244,245,245,244,245,245,223,225,229,231,232,233,236,237,238,239,240,241,241,244,246,245,245,245,245,246,247,246,247,246,246,245,246,246,222,226,229,233,235,235,238,240,240,243,243,243,245,247,246,244,247,248,246,246,247,248,248,249,248,247,247,248,223,227,230,233,235,236,239,241,242,246,245,246,247,246,246,249,250,247,247,248,250,251,247,251,251,250,250,252,227,230,233,235,236,237,240,243,244,244,248,250,248,255,255,243,243,255,255,243,246,255,222,245,255,253,254,252,230,232,235,236,238,242,242,244,243,255,255,242,218,255,255,223,197,255,255,234,208,255,221,214,255,250,252,253,230,233,237,239,241,243,245,250,245,255,255,254,185,240,255,242,183,212,255,244,184,241,250,192,248,255,253,255,233,235,237,240,244,242,255,255,226,255,255,255,204,224,255,253,195,211,255,248,172,190,255,211,195,239,255,255,234,236,238,243,236,255,255,255,223,255,255,255,222,222,255,255,193,224,255,232,177,132,243,239,213,180,235,255,232,237,240,243,237,255,255,255,243,238,255,255,224,212,255,255,178,226,255,206,160,87,201,255,237,171,209,255,235,238,242,241,250,255,255,255,255,220,255,255,216,210,255,255,167,180,228,189,127,105,246,255,244,177,229,255,236,239,242,236,255,255,255,255,255,206,255,255,208,195,255,237,169,138,194,181,94,166,255,255,235,177,255,255,239,242,244,238,255,255,255,255,216,164,227,235,197,163,208,203,160,127,199,174,139,253,255,255,194,190,255,255,239,243,243,255,255,255,231,242,186,138,198,211,189,133,167,187,123,161,247,249,255,255,251,225,175,217,255,255,241,245,236,255,255,255,239,220,204,155,180,222,198,115,142,185,208,255,255,255,255,227,211,196,168,232,255,255,245,248,241,255,255,255,255,226,205,174,183,243,194,111,169,255,255,255,255,255,241,212,187,180,155,253,255,255,247,248,246,255,255,255,255,255,227,208,215,232,212,235,255,255,255,255,255,250,221,193,181,158,204,255,255,255,246,250,246,255,255,255,255,255,255,226,234,254,255,255,255,255,255,255,247,226,200,185,164,186,255,255,255,255,245,251,246,255,255,255,255,255,255,253,248,255,255,255,255,255,255,255,232,202,182,169,161,255,255,255,255,255,247,251,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,210,184,171,150,230,255,255,255,255,255,246,251,253,255,255,255,255,255,255,255,254,255,255,255,255,255,244,224,189,177,145,205,255,255,255,255,255,255,247,253,254,255,255,255,255,255,255,245,247,253,255,255,248,231,212,194,175,144,186,255,255,255,255,255,255,255,252,255,255,254,255,255,255,255,255,244,254,255,255,255,236,214,185,164,129,157,255,255,255,255,255,255,255,255,231,220,219,203,206,213,196,184,179,172,187,191,185,179,165,159,150,131,142,255,255,255,255,255,255,255,255,255,180,167,169,161,146,144,141,127,119,103,97,87,79,82,77,77,82,87,121,210,255,255,255,255,255,255,255,255,169,173,169,163,156,151,143,129,119,108,103,88,83,80,77,73,71,75,75,56,197,255,255,255,255,255,255,255,180,170,172,167,159,145,140,129,114,107,98,87,80,78,74,69,71,72,78,57,226,255,255,255,255,255,255,255,196,173,174,166,159,146,138,126,110,106,96,87,81,77,73,69,68,72,61,118,255,255,255,255,255,255,255,255
3,162,164,166,168,170,171,172,172,172,172,172,171,171,171,172,170,169,167,165,164,162,160,158,154,152,151,149,146,163,165,167,170,170,171,173,173,173,174,173,172,171,171,169,169,170,168,166,165,163,161,159,156,153,151,150,147,164,166,168,170,171,172,173,174,173,173,173,173,172,173,151,132,169,168,167,166,164,162,159,157,155,153,151,149,164,166,168,171,171,173,174,175,174,174,174,174,174,176,145,98,160,170,168,166,165,163,160,157,155,153,151,150,166,167,170,172,173,175,175,175,175,176,175,174,174,176,143,90,149,172,169,167,165,164,161,158,156,155,153,152,167,169,172,173,175,176,177,177,177,178,178,176,175,176,140,84,144,174,170,168,166,165,163,160,158,156,154,153,169,171,174,175,177,179,179,180,180,181,181,179,179,179,152,92,138,175,172,170,168,166,164,162,161,158,156,155,171,173,175,178,179,181,182,182,182,182,182,181,180,174,142,89,128,178,174,172,170,168,166,164,163,160,158,157,172,175,177,180,181,182,184,184,184,184,184,182,184,166,127,88,121,173,175,174,172,170,168,166,164,162,160,158,173,176,180,182,183,185,186,186,187,187,186,184,187,188,162,116,138,135,163,177,173,172,170,168,165,164,162,160,174,177,181,183,185,187,187,189,189,188,188,181,147,141,161,131,151,108,123,177,175,173,171,170,167,165,163,161,176,179,183,185,186,187,188,190,191,189,181,179,144,109,121,131,139,119,83,132,175,175,174,172,169,166,164,162,177,180,184,185,187,187,189,190,191,186,143,131,161,131,100,130,135,130,96,84,152,178,175,173,170,168,166,163,179,182,185,187,188,189,190,192,193,182,150,121,137,149,106,115,119,124,112,79,139,181,177,174,171,170,167,165,179,183,186,188,188,190,192,194,190,157,158,139,113,141,108,68,66,124,121,78,150,182,178,175,173,171,168,166,181,184,187,189,190,192,193,196,176,128,120,134,90,109,99,59,56,122,126,83,160,183,179,176,174,172,169,167,181,183,187,189,191,193,193,196,174,129,89,112,70,86,110,81,84,133,126,84,164,183,180,177,175,174,171,168,182,184,187,190,192,193,195,192,161,123,89,93,81,79,117,92,122,136,113,83,171,185,181,179,177,175,171,169,182,185,189,191,194,195,196,192,172,142,101,82,83,100,143,137,143,124,85,101,184,185,183,181,178,175,172,170,183,186,189,192,194,195,197,194,179,154,116,98,94,146,180,166,137,110,72,141,189,185,184,182,179,177,173,171,184,187,189,193,194,196,198,193,177,157,127,107,105,164,171,153,130,102,82,174,189,186,184,183,180,178,174,172,184,187,190,193,195,196,198,194,169,152,132,117,116,164,164,145,122,87,107,191,190,187,185,183,181,179,175,172,183,187,190,194,195,197,199,198,174,155,142,131,120,154,156,134,104,75,152,195,191,188,187,185,182,179,176,174,183,187,191,194,195,197,200,201,186,162,152,135,118,133,135,111,78,97,190,195,191,189,188,186,183,180,178,175,183,187,191,195,196,197,200,202,195,173,155,137,121,118,118,96,68,153,197,194,193,190,188,186,183,181,178,176,184,188,192,195,196,198,199,201,197,180,154,142,134,122,111,81,91,190,196,195,194,191,188,186,184,182,180,176,183,187,191,194,196,200,201,201,189,180,163,156,141,123,101,70,120,199,196,195,195,193,189,186,185,182,181,178,183,187,191,194,197,200,201,199,182,183,172,157,138,115,89,65,144,200,196,194,193,192,189,187,184,182,180,177
20,132,136,140,142,145,148,149,150,151,153,154,152,151,152,152,149,151,137,147,148,146,145,144,142,141,140,139,138,133,138,142,145,147,149,152,153,154,155,155,156,154,154,152,155,167,99,112,152,148,146,146,143,143,143,141,140,135,139,142,146,148,151,153,154,155,156,157,156,155,155,153,163,167,94,78,127,108,149,146,146,146,145,143,141,137,141,144,147,150,153,154,156,157,158,158,157,157,157,153,167,161,87,82,139,68,136,153,148,147,145,145,144,139,142,146,149,152,154,156,160,160,159,161,161,160,158,154,178,167,90,87,140,71,125,156,149,150,147,146,145,140,144,147,150,153,156,158,161,161,160,161,162,161,161,157,187,161,89,97,141,78,126,159,151,151,149,148,146,141,146,149,152,154,157,160,161,161,162,162,163,163,160,165,179,136,77,125,154,86,119,162,152,152,151,149,148,144,148,151,153,156,158,160,162,162,163,164,164,167,165,175,176,128,61,132,144,80,119,163,153,154,153,151,149,145,149,153,155,157,160,161,165,164,165,166,166,146,131,184,177,121,60,142,137,70,125,164,155,155,154,153,150,146,151,153,156,160,162,163,164,167,168,166,176,141,74,161,155,77,85,165,133,72,135,166,157,156,155,154,153,148,152,155,158,160,163,164,166,169,169,175,188,153,107,112,78,37,105,151,118,66,147,165,158,157,157,155,154,150,153,155,159,162,165,168,168,170,167,140,160,173,141,91,66,50,101,114,85,67,163,162,160,161,159,158,156,151,154,158,162,164,166,169,168,183,178,113,114,179,131,119,112,104,110,79,61,95,174,162,163,162,161,159,156,151,155,160,162,166,168,168,176,198,188,136,119,150,142,137,123,133,120,59,42,131,173,163,163,162,161,159,158,154,157,162,163,167,170,167,188,184,191,136,110,166,151,120,118,120,100,73,36,140,174,165,165,163,161,161,160,154,157,162,165,167,170,170,203,178,166,150,88,135,124,51,55,119,111,93,42,134,177,166,166,165,163,163,161,156,160,163,167,170,170,178,196,158,150,151,68,41,44,22,22,115,147,106,59,80,178,167,168,166,165,162,161,157,161,164,167,171,173,177,206,191,171,136,108,64,23,63,136,147,156,123,78,40,144,176,167,168,166,164,163,157,161,166,168,171,172,180,209,198,168,129,147,82,53,157,188,168,139,118,80,48,131,179,168,168,168,166,162,158,163,167,169,172,174,181,209,201,160,126,113,67,119,192,168,145,132,88,79,50,155,176,170,170,168,166,163,159,164,168,170,173,175,180,207,195,159,155,102,120,198,178,143,119,131,84,56,66,179,171,171,171,170,167,166,161,165,169,171,176,177,180,203,193,169,161,110,158,196,165,144,125,122,100,35,104,187,173,173,173,170,169,166,161,165,169,173,175,177,180,194,189,171,161,115,149,174,152,139,116,103,83,36,158,181,174,174,173,171,169,167,161,166,170,173,174,180,183,193,188,173,154,117,115,140,130,113,93,87,41,95,189,175,176,175,174,172,170,168,160,165,169,171,183,159,60,143,184,169,123,90,93,105,123,103,79,47,47,175,181,178,177,176,175,173,170,168,160,163,166,175,169,68,27,42,123,138,101,95,102,106,127,95,62,33,142,187,175,177,176,175,174,171,169,167,160,164,170,174,77,31,44,33,41,100,118,111,105,106,115,81,34,110,193,177,178,177,176,175,174,171,170,167,161,163,178,98,37,47,32,37,31,38,81,91,95,93,81,54,56,180,183,180,179,177,177,176,175,173,171,169
6,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,253,250,250,251,249,247,245,246,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,252,251,250,249,248,246,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,249,249,248,246,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,252,252,251,249,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,251,255,255,253,255,255,255,255,255,255,255,255,255,255,247,228,253,255,255,255,255,255,255,255,255,255,255,252,255,255,240,251,255,255,255,255,255,255,255,255,255,255,255,213,199,238,252,252,249,242,235,233,227,227,225,225,218,217,234,255,255,255,255,255,255,255,255,255,255,255,255,221,171,167,166,185,190,199,204,204,215,224,230,232,237,251,255,255,255,255,255,255,255,250,251,248,242,235,222,193,180,176,155,186,251,255,255,255,255,255,255,255,255,255,255,255,255,255,249,243,242,246,246,238,235,242,241,194,168,173,190,183,212,255,255,255,255,255,255,255,255,239,223,223,255,251,240,237,239,239,242,242,245,255,255,210,167,155,176,190,173,182,255,255,255,255,255,255,201,164,162,159,255,250,237,228,224,228,238,245,251,249,235,211,186,179,173,171,183,170,204,255,255,255,255,232,162,173,167,163,255,254,243,233,228,228,230,233,249,255,218,188,191,197,194,180,171,163,212,255,255,255,255,195,164,161,158,160,255,252,246,239,233,234,231,227,234,251,236,187,156,180,206,206,185,159,250,255,255,255,187,159,147,130,121,108,251,251,250,244,237,236,237,236,247,255,223,189,176,170,177,194,200,174,218,238,204,180,150,146,132,116,107,98,238,253,255,253,244,239,237,234,238,249,227,198,192,197,185,171,179,179,169,164,159,147,139,128,120,111,101,101,157,236,255,250,247,246,238,233,221,220,217,204,214,212,200,194,175,145,140,155,157,146,138,127,115,107,99,95,85,126,226,233,217,214,206,205,204,187,177,159,181,198,209,203,173,131,112,139,141,133,133,133,123,107,96,93,88,81,103,211,241,242,250,255,255,255,168,152,155,179,193,169,166,137,110,113,133,128,123,131,132,111,98,91,77,62,140,253,255,255,255,255,255,255,246,218,208,196,160,131,167,133,104,97,114,123,117,123,133,121,100,91,65,65,159,173,168,170,173,173,176,178,184,185,198,191,137,122,163,133,97,97,106,112,113,118,129,125,101,92,69,63,149,172,167,166,167,167,168,166,162,175,188,177,126,115,153,124,95,96,104,105,107,110,120,123,105,91,69,61,167,178,174,175,174,171,171,174,182,173,150,143,129,109,146,118,97,86,99,102,103,107,113,120,112,95,53,81,182,175,175,175,177,176,176,171,160,145,142,129,126,110,137,114,96,89,91,95,98,103,110,117,112,98
2,178,179,181,182,185,188,188,188,188,188,187,188,187,187,185,181,181,182,181,182,181,180,179,178,177,176,174,173,180,181,183,185,187,188,189,190,190,189,188,190,189,184,188,205,217,208,185,176,178,181,182,180,179,179,178,175,181,182,184,188,188,189,190,190,191,191,191,187,191,211,237,241,224,213,213,159,133,130,158,182,179,179,179,176,182,184,186,188,190,191,191,190,192,193,188,201,249,236,236,235,205,170,157,124,94,95,88,162,185,180,179,179,184,186,189,189,191,193,194,194,193,195,184,239,247,229,236,193,143,111,105,95,92,95,76,141,190,179,181,181,185,187,189,191,192,193,194,196,195,192,196,255,245,231,178,127,88,78,85,84,95,96,120,175,186,183,182,181,187,188,190,192,195,196,196,197,197,189,215,255,242,167,109,89,74,89,93,135,176,174,187,189,187,185,183,183,188,189,191,195,195,196,198,199,201,190,228,255,213,126,79,86,85,93,154,195,193,192,189,188,186,186,185,185,190,191,194,196,195,198,198,199,202,193,255,249,168,94,69,78,80,99,198,191,190,190,190,188,187,187,186,185,191,194,195,195,198,199,199,202,194,220,255,195,114,69,67,63,78,105,195,193,193,192,191,190,189,188,187,186,190,193,195,197,199,201,201,201,202,255,238,155,97,80,85,75,66,125,203,193,195,193,192,191,190,189,187,187,191,194,196,199,201,201,205,196,246,255,210,146,109,99,95,92,75,146,206,194,196,194,192,192,192,190,188,188,193,196,198,200,203,204,204,206,255,255,192,134,104,108,98,97,85,153,207,195,197,196,194,192,193,193,188,187,195,198,199,202,204,206,200,227,255,240,168,120,107,107,96,100,91,158,208,197,198,197,196,194,194,196,194,190,197,199,200,204,205,209,198,253,255,223,154,113,103,99,95,101,93,165,209,198,199,199,199,199,197,186,173,183,198,199,202,205,207,208,205,255,255,208,148,110,98,99,99,102,86,163,211,200,201,199,201,196,177,176,133,138,199,201,204,207,211,201,236,255,249,196,140,106,94,96,94,94,79,130,215,202,203,203,199,172,182,159,116,182,202,203,206,208,212,204,255,255,236,187,136,101,91,89,88,96,88,93,205,206,204,206,166,168,179,114,156,202,203,205,207,211,205,227,255,255,225,177,129,99,88,84,92,101,101,81,152,221,204,161,153,176,136,113,197,195,204,206,208,213,205,254,255,253,212,170,126,96,86,87,93,98,103,96,91,139,151,148,165,155,113,137,205,196,205,207,209,212,209,255,255,242,209,167,123,97,85,95,96,91,97,99,94,97,140,174,162,129,124,184,202,197,206,208,212,210,223,255,255,237,209,161,125,104,91,105,103,101,107,108,104,122,161,171,147,130,189,205,200,199,207,209,213,208,250,255,255,244,213,168,139,110,97,115,119,124,121,121,114,127,163,142,134,193,210,205,201,199,207,211,212,213,255,255,255,245,216,177,145,116,104,124,133,138,124,119,117,125,129,141,201,210,206,207,202,200,209,212,210,227,255,255,255,240,200,161,142,121,111,126,137,138,127,120,112,116,140,204,214,209,208,206,205,202,209,215,203,249,255,255,252,219,172,139,128,121,120,132,134,130,125,109,140,191,210,213,210,208,207,207,204,200,211,209,231,255,255,246,221,179,141,133,128,119,121,125,124,121,111,151,215,218,212,212,211,208,208,207,204,200,209,218,255,255,240,224,197,146,135,136,129,124,122,117,116,123,172,219,218,213,214,213,210,210,209,207,205,203
4,127,130,133,136,139,143,147,150,152,153,158,158,160,162,165,166,166,166,167,168,169,169,169,168,169,169,168,167,128,132,134,137,141,145,150,152,153,155,158,160,163,163,165,167,169,168,169,170,170,171,171,170,171,171,170,169,130,134,135,138,142,147,150,152,156,157,159,165,163,172,158,128,149,174,167,168,174,173,173,173,173,172,171,171,131,135,137,140,144,148,152,154,156,162,152,148,166,197,172,128,105,155,147,116,154,177,174,175,175,174,173,173,133,136,138,142,146,150,153,154,167,193,162,140,141,193,178,153,123,108,148,108,93,169,177,177,177,176,176,176,135,137,138,142,147,151,155,152,187,220,192,168,126,160,190,159,135,85,139,123,90,135,182,177,178,178,177,177,135,138,139,143,148,152,154,154,180,203,215,190,146,123,196,167,135,80,134,129,94,126,185,180,179,180,179,178,136,139,141,145,150,151,167,175,165,163,177,196,145,96,153,168,120,76,125,128,88,122,186,180,179,179,180,179,137,139,142,146,151,149,194,209,195,179,145,124,117,81,98,130,94,73,106,109,80,135,185,180,181,181,180,180,137,139,143,147,152,150,200,195,192,184,138,82,81,79,66,101,77,52,79,74,69,155,185,182,184,182,181,181,138,139,143,147,153,154,190,137,133,147,111,75,65,89,54,89,96,113,136,85,61,169,185,182,183,183,183,183,140,141,143,148,153,156,184,118,76,110,116,81,64,86,85,109,154,184,166,110,76,139,186,186,184,185,184,184,141,143,144,149,155,156,184,138,111,94,123,92,92,133,140,154,177,183,144,107,95,86,123,175,188,186,185,185,141,143,145,150,155,155,183,154,129,97,89,77,94,153,136,147,155,144,114,101,103,99,89,97,153,190,186,186,142,145,147,151,156,156,180,169,124,89,75,65,59,107,108,111,108,101,89,96,102,103,100,90,85,176,189,187,143,145,148,153,157,157,178,178,136,111,94,79,63,56,78,96,101,92,79,86,100,110,103,96,87,162,190,187,144,145,148,153,158,158,176,191,160,118,100,86,74,68,91,132,140,136,128,110,106,122,104,95,101,175,191,187,143,146,148,154,158,160,173,191,162,130,121,99,85,78,114,164,180,180,171,147,126,117,103,96,131,190,190,189,143,146,149,154,158,161,170,193,165,152,137,106,90,86,122,183,191,185,169,143,122,104,97,101,170,192,190,191,145,146,150,155,158,162,168,189,168,161,138,102,93,94,123,184,181,171,159,137,114,100,95,121,192,192,192,191,146,146,150,155,158,163,167,185,168,155,130,98,98,101,124,172,164,157,149,129,107,100,100,153,197,193,192,192,146,146,150,155,160,165,167,182,170,152,124,101,108,108,137,163,155,151,138,116,101,101,110,181,194,192,193,194,145,147,151,157,161,164,168,177,175,150,121,115,128,117,139,152,147,140,118,104,99,102,142,195,194,194,195,194,146,146,151,157,161,164,169,173,173,149,131,134,133,120,119,132,128,118,102,98,99,113,180,195,195,195,195,194,146,147,152,157,162,165,170,172,176,159,139,134,125,110,99,105,104,99,97,102,100,145,198,197,197,196,195,194,146,147,152,157,161,165,170,172,177,173,138,118,110,100,96,98,98,98,100,103,91,154,200,197,197,196,195,195,147,148,154,158,162,167,171,174,175,177,141,106,94,93,95,102,101,100,100,99,82,135,201,196,196,197,197,197,147,149,153,158,162,166,171,175,175,173,153,114,103,105,107,107,104,98,98,95,85,118,199,196,196,198,198,198
18,159,159,160,161,163,162,161,162,162,161,159,159,159,158,157,157,157,157,156,155,154,153,152,151,150,149,147,146,160,160,161,163,163,163,163,163,163,163,161,161,160,159,159,161,160,157,157,157,155,153,153,151,150,149,147,147,162,162,162,163,163,163,165,165,164,163,164,164,166,164,163,159,154,162,159,160,161,159,153,152,152,151,150,148,162,163,164,164,164,165,165,166,165,164,164,138,117,152,160,126,101,118,165,148,128,138,158,153,152,152,151,150,163,164,164,165,166,166,166,167,167,171,164,126,98,90,135,129,99,73,114,123,100,81,124,162,153,153,151,151,164,164,165,165,166,167,169,150,126,142,163,133,117,88,115,154,104,93,69,113,108,80,71,154,156,154,152,151,165,166,168,168,167,167,174,149,124,106,129,154,117,99,96,153,106,99,96,93,103,92,61,133,161,154,154,153,165,168,168,169,169,169,173,160,143,129,99,139,132,102,80,119,123,111,108,100,115,104,63,133,161,155,154,153,166,167,168,170,169,174,161,159,152,132,111,98,132,107,85,94,130,120,110,109,113,100,62,137,164,156,156,155,167,168,169,170,169,177,163,129,141,130,103,69,120,114,85,79,121,113,110,106,104,98,60,125,166,157,156,155,168,169,170,172,169,175,154,93,117,129,79,60,100,96,70,68,104,79,97,123,120,102,66,110,169,157,157,156,168,169,170,172,170,177,153,121,114,123,75,63,85,78,63,59,83,63,82,153,132,108,74,94,170,158,158,157,169,171,171,171,171,178,163,145,110,117,92,68,82,86,64,57,80,62,59,134,136,114,85,76,164,161,160,158,171,171,171,171,173,178,165,138,113,97,85,61,85,94,62,56,70,100,131,136,152,127,95,63,149,165,160,159,171,171,171,172,174,177,147,120,104,87,71,61,70,68,60,68,98,148,154,140,143,130,97,59,135,170,160,160,171,172,173,174,175,176,159,138,120,102,84,82,76,79,97,121,148,158,153,149,125,116,89,57,140,169,161,160,172,173,175,175,174,177,168,146,125,100,83,82,91,106,126,146,163,161,146,137,119,95,77,65,160,165,163,162,173,174,175,176,175,176,170,152,129,106,92,90,94,107,143,160,169,159,139,125,110,89,59,93,173,163,164,163,173,174,175,175,176,175,170,158,137,118,101,99,92,119,158,167,165,151,133,118,105,82,51,135,172,163,163,162,174,175,175,177,176,173,168,156,138,122,108,105,97,128,165,160,155,145,128,112,99,73,65,165,167,164,164,163,175,176,178,178,178,173,160,149,136,124,113,112,102,131,162,154,147,136,123,105,92,59,97,176,164,166,165,163,175,177,177,177,178,176,158,151,142,127,118,121,106,134,153,151,140,123,113,99,83,51,138,175,165,166,165,163,176,177,177,178,179,179,163,149,142,133,126,124,108,135,149,145,136,118,102,90,66,69,171,168,168,166,166,164,176,178,178,178,178,182,172,149,145,139,129,120,106,123,144,137,127,110,92,81,48,120,179,168,168,167,166,164,176,178,178,178,178,180,178,162,150,140,130,121,109,112,132,129,115,99,85,63,64,171,170,170,169,168,167,165,176,177,177,179,180,181,180,169,155,145,134,126,116,111,124,122,106,92,80,45,121,180,169,170,169,168,167,165,177,177,177,178,180,181,180,176,163,143,129,122,119,116,118,117,103,89,64,69,173,172,172,171,170,169,167,165,177,178,179,179,180,181,179,175,163,144,139,137,132,127,114,112,98,83,52,120,182,171,171,171,170,169,167,165
19,171,172,174,176,176,177,179,180,180,181,181,181,180,179,179,179,180,179,178,177,176,176,175,174,174,172,172,172,172,174,175,177,179,180,181,182,182,182,181,182,181,180,178,162,162,180,179,178,179,178,178,177,175,174,173,173,173,175,178,180,181,182,182,183,184,183,184,182,181,190,184,143,100,166,182,180,180,180,180,178,177,174,173,175,174,176,179,181,182,183,183,183,183,183,184,185,181,200,183,145,93,138,187,181,180,180,180,180,178,176,176,176,176,178,181,182,183,184,185,186,185,185,186,186,184,204,178,148,95,125,189,182,182,181,181,180,179,178,178,178,178,180,182,184,186,186,188,187,188,187,187,187,188,204,167,137,87,118,191,183,183,182,181,179,180,179,179,179,179,182,184,186,187,187,188,188,188,188,188,187,191,202,155,115,85,123,189,179,180,174,186,193,166,180,180,180,180,183,186,187,188,188,189,189,188,189,189,187,191,197,166,145,160,177,185,174,189,176,211,217,129,179,180,182,182,184,186,187,189,192,191,190,189,190,194,197,195,187,185,182,199,203,190,174,185,179,169,155,136,185,182,182,183,186,187,189,191,192,192,191,198,205,211,215,210,193,174,166,165,163,151,135,127,125,124,142,179,185,185,184,186,188,189,191,191,198,200,197,208,216,216,208,192,181,172,162,128,93,113,132,152,165,182,188,187,186,185,184,187,188,190,192,198,217,208,203,201,200,200,197,198,196,195,194,148,95,185,191,193,191,190,188,187,186,186,184,188,190,193,191,206,221,212,207,200,203,208,209,204,198,195,183,138,81,177,193,191,190,190,188,188,186,186,186,190,192,194,194,203,221,209,201,205,212,212,213,205,194,188,169,120,72,139,198,191,193,190,189,189,188,187,187,192,194,195,195,203,215,196,192,198,206,209,199,189,197,203,200,142,75,91,193,195,193,192,191,189,189,188,187,193,195,197,196,211,203,189,189,190,179,179,199,212,203,197,202,141,76,70,175,197,195,193,193,192,192,189,189,193,196,198,198,209,189,191,194,192,180,200,210,197,188,187,177,126,78,60,158,201,196,194,195,193,193,192,191,193,196,199,199,203,204,209,206,210,214,211,200,190,184,174,150,107,75,61,173,200,196,196,195,195,195,193,192,195,198,200,200,199,220,219,207,204,205,202,189,176,171,185,190,145,65,121,202,198,197,196,197,197,196,194,193,196,198,200,202,199,211,220,200,192,183,159,151,187,208,207,205,165,77,151,205,198,199,197,198,197,195,195,195,196,200,201,203,203,197,209,194,186,176,172,195,216,199,179,172,143,79,107,207,201,200,198,199,198,196,195,195,197,199,202,204,206,200,200,212,210,202,207,208,195,176,163,149,117,66,136,208,202,201,201,199,198,196,196,195,197,199,202,205,208,202,197,214,213,193,191,191,177,160,139,108,104,141,195,205,203,202,202,201,199,198,198,196,197,199,202,205,208,204,194,201,202,179,177,168,149,127,93,67,173,210,205,204,203,203,202,201,200,200,199,197,197,199,201,203,206,203,186,194,191,165,155,137,114,92,75,68,157,210,204,202,203,202,201,200,199,198,198,196,198,200,202,204,206,206,182,184,184,157,143,138,122,85,76,70,111,212,204,204,203,202,200,200,200,199,198,197,199,202,203,206,208,206,183,178,175,155,134,116,100,81,75,68,107,212,205,204,203,201,201,201,201,199,198,197,199,202,204,206,208,203,183,183,170,164,141,114,92,84,78,68,116,214,206,205,204,202,202,202,202,201,200,198
1,152,153,154,154,154,155,155,155,156,155,155,155,155,154,154,155,145,130,149,147,148,146,144,142,142,141,139,137,156,156,157,157,158,158,159,159,159,158,158,158,158,159,148,146,155,86,144,159,149,149,147,146,145,143,141,139,160,161,161,161,162,162,162,163,162,162,161,162,160,167,152,97,153,82,93,123,155,151,151,149,149,147,144,143,164,164,165,165,166,166,165,165,165,165,166,165,163,174,144,91,152,71,55,75,138,159,153,151,150,149,148,145,167,167,167,167,169,169,168,169,168,169,169,171,170,178,121,95,150,56,87,91,115,167,154,155,154,152,150,148,171,170,171,171,170,171,171,171,170,170,173,151,153,180,101,109,154,62,109,96,100,170,157,158,157,155,153,151,174,174,175,175,175,176,176,175,173,173,176,139,104,182,99,129,143,59,117,99,99,173,161,162,158,156,155,153,177,177,177,179,178,178,178,178,178,176,180,126,101,169,89,144,118,60,138,109,100,176,164,165,162,159,158,156,179,180,180,181,180,179,179,178,179,178,181,101,117,145,88,157,114,86,161,100,99,178,166,166,164,162,160,158,182,182,182,183,182,182,182,182,182,182,181,94,125,148,98,162,120,93,161,91,102,181,168,168,167,164,163,162,184,184,184,184,184,186,185,184,183,186,172,80,130,158,89,159,116,77,157,105,114,183,169,170,169,167,165,163,187,185,185,187,186,187,185,186,184,189,162,72,140,143,66,145,89,77,166,101,116,186,172,172,172,170,168,165,188,188,188,188,188,190,189,189,188,191,167,76,133,128,76,151,86,91,161,92,115,188,174,176,174,173,170,168,190,191,191,191,190,190,190,190,189,192,149,82,141,133,134,154,127,95,119,95,119,189,177,179,176,173,172,170,190,192,191,191,191,191,191,191,192,187,148,146,132,109,123,125,131,114,97,88,91,185,179,179,178,175,173,172,192,193,193,193,192,193,193,193,192,187,167,135,102,94,107,127,131,109,97,103,72,165,186,179,179,178,175,173,193,194,194,194,194,194,195,195,195,189,152,105,90,93,110,144,135,120,152,142,77,135,195,182,182,179,178,176,196,195,196,196,196,196,197,198,192,184,145,96,95,105,120,150,159,158,136,155,106,106,195,182,183,180,178,177,196,197,198,197,197,198,197,199,188,180,155,101,83,109,136,159,170,182,125,152,130,80,184,186,183,182,180,178,198,198,198,198,198,199,198,201,184,179,165,114,76,110,142,161,168,171,153,134,97,62,181,188,185,184,183,179,199,199,198,200,200,200,200,203,181,177,170,128,90,94,143,174,174,169,139,125,67,85,198,186,186,185,184,182,199,199,199,200,201,201,200,205,182,164,162,129,100,91,154,186,181,168,129,99,53,145,200,187,188,186,185,184,198,199,200,200,201,201,200,205,190,158,152,132,108,102,163,179,163,145,112,75,66,193,192,190,189,187,186,185,198,199,199,199,200,200,201,203,197,164,154,138,117,112,163,170,153,124,96,50,115,205,190,191,190,187,185,184,198,200,200,200,200,201,201,202,204,169,154,150,126,112,151,154,138,105,70,47,178,196,191,190,188,186,184,182,199,200,201,200,201,202,201,202,205,176,158,149,127,111,132,125,101,74,31,125,204,191,192,191,189,185,182,182,199,199,200,201,202,202,202,203,200,175,163,149,129,115,117,106,74,37,116,206,194,194,193,192,190,189,192,182,199,199,200,201,201,202,202,206,186,168,171,153,147,128,105,91,44,75,209,197,197,195,193,191,191,176,144,90
6,203,206,208,211,214,215,216,217,218,218,218,216,216,216,216,216,215,214,214,214,213,211,210,210,208,208,207,203,204,207,210,213,214,217,217,218,220,221,221,220,219,219,218,217,218,217,216,215,214,213,214,213,211,209,208,206,205,209,213,215,216,217,220,220,221,222,222,222,222,222,221,219,219,218,217,216,216,215,216,215,214,213,211,209,207,210,213,216,218,220,222,224,223,223,222,223,224,224,225,224,223,222,221,219,219,216,213,215,217,215,214,213,209,213,215,218,220,221,223,225,224,225,226,225,224,219,209,206,207,209,202,205,194,192,229,195,195,221,215,214,211,215,218,220,223,224,226,227,225,226,225,222,218,208,190,186,201,215,203,206,191,189,234,174,165,226,216,216,214,216,219,222,224,226,227,227,229,232,239,239,235,222,205,194,197,200,193,186,185,165,162,156,203,223,219,217,214,217,220,223,223,224,224,231,243,244,240,221,205,182,167,144,138,143,156,163,168,180,196,216,224,222,221,218,214,217,220,220,236,244,226,227,226,218,201,191,182,164,159,147,134,194,213,221,226,230,231,228,223,224,223,221,214,218,222,219,255,246,216,211,206,215,224,221,207,196,196,200,142,183,241,228,229,228,227,227,227,224,224,223,214,218,222,226,247,212,201,209,217,227,233,229,218,208,196,177,130,139,239,230,231,230,229,229,227,225,224,224,216,220,219,244,254,208,201,204,211,219,223,224,211,191,185,162,113,116,222,236,231,231,230,230,227,227,226,224,218,223,220,250,227,210,215,209,211,214,224,227,208,179,187,179,114,100,190,242,230,231,230,231,230,230,227,225,219,224,222,243,230,234,225,224,226,234,239,226,208,198,193,164,122,104,174,243,231,232,231,231,230,230,228,226,220,223,224,237,255,255,221,220,222,221,218,211,200,187,164,132,122,112,160,243,232,233,233,232,232,231,229,226,221,225,224,236,255,255,226,214,201,176,174,187,184,183,180,120,113,119,181,244,234,234,234,233,232,231,231,228,222,225,223,241,255,250,234,211,193,197,218,220,199,190,201,143,98,147,237,236,235,235,235,234,233,233,231,228,222,226,224,244,249,253,247,213,207,225,233,209,192,182,171,142,114,179,246,234,236,235,235,235,233,233,232,230,223,228,225,244,253,244,240,218,212,219,217,204,185,169,145,128,122,205,245,237,237,235,237,237,235,234,232,231,223,228,224,243,253,244,234,220,211,210,192,177,153,132,125,119,145,232,241,239,239,237,237,237,235,234,232,231,223,229,223,235,247,248,231,211,196,182,153,130,102,95,109,159,228,243,240,239,240,241,239,237,235,234,233,232,222,227,221,231,243,231,206,191,177,153,127,107,91,109,141,234,247,239,239,241,241,239,238,238,236,233,232,231,222,227,221,223,237,211,192,189,180,141,122,119,101,118,197,245,238,241,240,239,237,236,236,238,235,233,231,229,222,228,217,214,229,198,195,197,164,133,126,128,111,172,245,241,240,241,242,239,237,237,236,235,235,233,231,230,222,227,213,209,223,189,203,197,155,132,124,131,162,239,243,241,242,241,241,240,238,236,236,235,234,234,232,231,222,229,210,212,216,194,207,192,156,131,125,135,218,248,240,242,243,240,240,240,239,239,237,236,235,234,233,231,220,229,201,219,220,192,200,177,142,125,130,144,230,243,241,242,243,240,239,238,240,238,238,238,236,234,232,231,220,224,195,229,212,185,182,153,131,126,130,164,243,239,239,238,239,238,236,238,237,234,236,235,235,233,233,230
19,104,108,114,118,127,136,141,147,152,154,156,160,163,167,169,171,174,176,177,179,181,183,183,185,186,187,189,189,104,108,113,119,128,136,143,149,153,155,157,160,164,168,170,174,176,177,180,182,183,184,185,188,189,189,190,190,105,110,116,121,130,138,145,151,156,157,160,163,166,169,172,176,177,179,182,183,185,186,188,189,191,192,193,192,106,112,118,123,132,141,146,153,157,158,162,164,169,172,176,179,181,183,183,186,188,190,192,192,193,194,192,195,107,113,118,124,134,141,149,154,158,161,162,166,170,174,176,180,184,187,184,188,190,191,192,192,195,192,201,189,107,114,120,125,135,143,151,156,160,162,164,168,173,174,188,187,160,177,192,189,191,193,193,194,191,213,224,131,108,114,120,126,136,145,153,158,161,163,166,169,175,173,223,195,150,123,182,191,191,193,202,204,213,219,160,116,108,115,121,127,137,145,154,160,163,164,167,173,176,171,210,212,161,142,186,206,196,200,213,213,197,148,121,179,109,116,121,129,139,146,154,161,164,163,171,167,174,181,195,210,199,207,204,199,190,175,188,173,129,134,185,208,110,117,121,129,142,149,156,162,160,192,210,172,164,172,185,192,186,176,166,174,158,138,136,138,169,205,206,203,111,117,122,130,141,149,157,162,165,224,194,177,178,183,193,193,181,168,164,152,152,118,184,204,211,205,206,206,110,118,122,132,141,149,159,158,179,211,167,166,175,191,197,193,190,183,162,122,112,134,215,204,205,208,208,207,112,119,123,133,143,150,160,155,195,206,176,174,181,180,170,164,168,153,135,115,95,158,214,204,208,208,208,208,114,119,124,133,143,152,159,160,235,221,198,196,196,186,183,176,161,114,107,112,98,181,214,208,210,209,211,211,114,120,124,136,146,154,161,167,235,215,196,180,172,179,181,174,149,111,103,113,107,195,211,208,211,211,213,213,113,120,125,136,146,155,163,167,215,206,180,160,136,133,152,148,142,115,107,109,133,212,208,210,211,211,213,213,115,119,125,138,146,156,163,166,205,206,181,132,120,94,83,124,148,118,110,113,131,216,210,211,211,212,214,214,116,119,126,139,149,157,165,165,203,209,180,136,106,70,113,147,148,114,109,109,109,203,213,210,213,214,216,216,116,119,127,139,148,157,167,159,200,211,181,150,125,94,98,108,99,92,99,109,109,195,217,212,214,215,215,215,116,120,129,140,149,159,169,158,204,214,183,156,128,115,101,86,86,98,105,111,111,198,218,214,215,216,216,216,116,120,129,140,150,160,169,158,205,212,182,155,132,122,121,106,96,99,105,108,119,207,215,216,217,218,218,218,117,121,130,143,152,160,169,159,194,205,177,153,130,121,119,107,97,104,110,108,139,219,213,218,218,218,218,218,117,121,132,143,154,160,171,159,192,199,173,146,128,120,117,109,103,109,117,105,174,223,216,218,219,219,220,220,115,121,132,143,154,162,170,167,198,194,168,143,127,118,118,115,111,114,108,127,212,216,217,219,220,220,221,221,116,122,134,144,154,163,167,171,209,193,164,138,123,119,122,118,113,108,136,202,216,215,218,219,220,221,221,222,117,122,135,146,155,165,166,173,206,186,166,144,127,123,122,120,109,129,210,214,214,217,219,221,221,221,222,222,118,123,135,145,155,165,166,182,197,178,162,146,129,118,113,114,103,171,216,213,217,218,220,222,222,222,223,224,117,122,134,146,156,167,167,201,197,175,153,136,121,109,106,109,107,187,214,215,218,219,220,221,222,223,225,225
10,60,68,82,89,93,98,102,105,108,110,112,115,116,117,119,121,126,126,127,127,129,132,133,134,134,134,137,138,60,70,83,89,94,99,102,105,110,112,113,116,117,118,120,123,106,124,129,130,132,133,133,134,136,136,138,138,63,73,85,90,94,100,103,105,111,113,114,116,119,121,125,139,79,106,135,129,133,135,136,136,138,139,139,139,65,76,87,92,96,101,104,108,111,113,115,117,121,121,132,145,86,86,136,130,134,135,137,138,139,140,141,141,67,76,88,93,98,101,106,110,112,115,117,119,122,121,131,144,98,75,135,131,136,139,138,139,141,142,142,143,66,78,90,94,97,103,107,110,112,115,117,118,124,126,126,144,112,73,130,135,136,140,140,140,142,143,143,144,68,79,91,94,99,105,108,110,113,116,116,130,105,109,131,150,129,75,117,140,136,138,139,140,143,144,144,145,70,81,91,96,101,106,109,112,114,116,118,138,103,59,128,148,134,81,97,144,137,139,140,142,144,144,145,146,73,85,92,96,102,106,110,115,121,119,129,125,100,42,106,146,129,84,85,145,138,141,141,144,145,145,147,147,73,86,94,97,100,113,109,99,95,95,117,140,112,66,78,149,114,82,75,145,140,142,142,145,147,147,147,148,73,85,93,98,98,121,95,57,43,42,45,118,133,84,48,132,93,81,66,141,141,143,145,146,148,148,149,149,76,88,94,99,103,104,82,54,34,51,49,76,136,101,47,108,71,77,59,135,144,145,147,147,148,150,150,150,76,88,93,97,103,108,108,102,91,66,48,58,134,115,58,74,52,71,53,126,148,145,147,148,149,151,151,151,76,88,94,100,104,111,109,137,151,85,27,80,145,122,69,37,48,67,56,112,151,146,148,148,149,150,150,151,79,90,94,100,107,109,107,139,144,90,21,71,162,120,82,35,45,67,56,92,155,146,149,148,150,151,151,151,79,90,95,102,103,121,134,135,153,101,10,78,175,119,88,42,44,63,55,74,155,148,149,150,152,153,153,153,82,92,95,102,99,134,153,130,144,99,15,123,159,120,81,43,34,56,50,59,154,148,150,151,151,154,154,154,82,92,96,102,103,118,151,125,133,94,93,169,134,123,81,45,37,51,40,75,157,147,150,151,153,153,153,154,82,92,96,101,106,109,124,104,115,118,157,165,131,116,88,51,41,47,33,117,155,148,151,152,153,153,153,154,83,92,95,101,106,109,124,100,117,158,173,158,133,107,84,56,42,37,47,146,149,149,152,153,154,154,155,155,85,93,96,100,107,108,136,139,111,147,173,150,128,104,82,57,43,27,77,157,147,150,151,153,154,154,155,155,86,93,96,100,108,105,147,157,111,123,172,149,129,100,83,59,42,26,112,155,148,150,151,154,155,154,154,155,86,92,98,103,109,107,153,161,130,146,166,147,129,102,84,63,39,40,143,148,148,150,153,155,154,155,156,156,85,92,97,103,109,108,162,171,139,151,162,147,131,104,86,66,30,75,157,146,149,152,154,155,155,155,155,157,86,91,97,104,109,107,160,167,147,151,154,152,142,107,84,64,29,113,154,147,150,151,152,154,156,156,156,157,87,91,97,103,109,107,153,159,139,152,149,153,148,111,83,57,41,142,149,148,151,151,153,154,156,156,157,157,87,91,97,104,109,110,142,145,140,151,151,154,146,109,81,45,74,155,146,149,151,153,155,156,156,156,156,157,87,93,99,104,109,112,130,142,152,160,148,149,140,105,77,40,114,154,146,149,152,154,155,156,156,156,157,158
18,199,199,199,200,200,201,202,202,202,201,202,202,201,201,200,199,200,201,201,201,200,199,197,196,195,194,192,190,199,200,201,202,201,201,202,203,203,203,202,202,202,200,201,201,201,202,201,201,200,198,198,198,196,194,194,194,202,202,203,203,203,204,203,203,202,202,203,202,203,203,203,202,202,204,201,203,200,198,198,199,197,195,195,194,203,203,204,204,205,206,205,204,203,202,204,204,204,203,203,204,203,210,197,191,202,201,200,199,198,197,196,195,204,204,206,206,205,206,206,207,205,204,205,205,203,206,205,205,205,229,198,162,189,203,202,201,201,200,198,196,206,207,208,207,207,208,207,208,207,208,208,207,221,220,193,200,229,240,218,175,177,199,198,201,200,199,198,198,207,207,208,207,207,209,209,209,207,209,208,221,246,223,189,171,213,230,235,222,222,209,169,166,200,198,198,201,208,209,209,208,209,209,210,208,215,232,203,217,245,217,193,162,212,211,235,235,234,218,167,125,182,202,201,201,209,210,210,211,211,209,207,215,247,239,199,173,239,213,188,166,223,200,202,229,239,215,159,116,152,205,202,201,209,208,210,211,209,211,208,244,255,241,204,172,239,218,186,167,227,211,170,233,248,217,151,113,139,208,204,203,211,211,211,211,212,209,228,252,253,244,209,169,237,224,188,171,231,209,176,247,252,215,146,106,154,211,204,203,213,214,214,214,213,215,251,236,241,249,215,172,228,220,186,159,207,191,177,250,248,205,141,103,183,210,206,205,214,215,214,215,214,237,250,230,228,232,207,164,196,204,177,130,157,154,200,254,235,189,136,120,208,208,207,206,215,215,215,214,223,254,235,202,204,197,166,129,160,177,144,98,169,208,235,245,221,177,127,162,214,209,208,207,217,217,218,216,228,255,238,203,181,176,144,107,172,174,124,184,243,244,230,217,205,166,125,198,213,210,208,208,217,219,219,214,239,255,239,212,173,161,144,102,183,167,206,255,250,239,212,191,186,148,123,208,212,213,211,209,217,218,221,218,249,254,240,220,195,166,155,142,143,202,255,254,248,231,197,171,161,126,152,219,213,213,212,212,219,220,221,223,255,254,245,227,209,180,167,168,197,253,255,253,242,215,179,156,144,108,180,220,215,214,214,213,221,221,220,227,255,255,249,237,222,194,188,207,246,255,252,248,234,198,164,145,122,130,212,218,217,215,215,214,221,222,220,227,255,255,253,243,232,213,203,225,251,251,244,236,223,185,153,135,109,187,222,218,217,216,216,215,220,221,220,225,255,255,255,248,234,218,212,221,249,245,234,230,198,174,139,117,128,219,220,218,216,217,217,214,221,221,221,224,254,255,254,245,230,216,214,217,239,231,219,218,185,155,123,101,179,223,219,219,217,218,217,218,221,222,221,223,253,254,249,237,222,210,211,216,228,215,208,204,180,134,108,118,216,220,218,219,219,217,217,223,221,223,222,226,255,240,229,224,211,201,203,209,225,208,197,187,157,113,90,172,226,221,220,219,220,218,216,178,223,223,223,233,255,239,231,227,217,215,206,209,231,197,174,157,124,87,120,219,222,221,221,221,223,223,168,110,174,165,156,196,241,238,233,227,227,229,201,204,221,175,147,126,90,92,208,226,223,222,223,218,196,159,117,103,130,129,122,127,132,134,137,140,147,164,154,168,176,145,122,99,70,175,227,228,227,227,192,143,117,103,95,87,146,118,115,119,113,108,102,96,86,81,80,83,83,76,71,68,61,93,115,144,189,187,112,109,110,104,96,86
12,79,85,96,112,118,125,130,137,138,141,144,147,150,152,155,157,159,161,161,163,165,165,166,167,167,167,167,167,79,85,96,113,120,127,132,137,139,142,144,147,151,154,155,158,160,161,163,165,166,166,167,168,168,168,168,169,80,86,98,113,121,129,134,137,140,144,145,147,152,157,157,161,153,161,166,167,168,168,168,171,171,171,170,170,82,87,101,115,123,129,134,138,142,146,150,161,128,128,164,172,121,109,164,163,165,172,170,173,172,173,172,172,82,89,103,118,124,131,136,140,145,143,180,177,136,103,146,173,132,90,113,126,110,155,176,173,174,174,174,173,83,91,103,118,125,131,137,141,146,143,201,188,151,119,126,174,145,115,82,121,98,101,172,175,175,175,176,176,86,93,108,120,126,133,138,142,145,151,204,207,168,126,119,180,150,121,76,112,113,80,148,179,176,176,178,178,86,94,109,120,128,134,140,143,143,167,177,199,180,129,110,185,149,116,73,108,112,81,156,180,179,178,179,180,88,95,110,121,130,136,139,140,150,174,173,162,165,118,91,162,144,106,70,110,106,86,169,181,180,180,180,180,88,95,111,121,129,134,149,192,200,140,102,105,142,101,75,125,112,89,74,108,97,95,180,181,182,181,181,181,88,97,114,122,129,132,186,221,178,122,98,71,125,101,69,107,100,83,72,97,90,102,184,182,183,182,182,182,89,99,114,123,131,138,197,170,155,128,108,73,108,129,77,101,126,97,82,122,105,110,187,183,183,183,184,184,90,100,116,124,129,151,192,142,141,139,114,86,60,94,61,76,122,95,84,141,120,82,134,189,185,185,185,185,90,101,117,124,128,161,185,144,118,139,113,98,47,35,57,85,94,88,114,120,97,77,88,181,187,186,185,186,91,103,118,124,128,166,201,159,126,113,101,86,42,53,100,140,147,139,137,120,103,95,97,184,187,186,186,186,91,106,120,126,128,173,200,161,138,104,85,78,62,88,141,168,170,158,141,116,104,93,126,190,188,187,187,187,92,107,121,127,129,174,196,170,146,114,97,114,110,145,175,181,175,153,129,112,94,84,161,190,188,188,189,189,94,108,120,128,131,169,188,165,143,118,115,126,121,176,180,180,174,144,120,107,90,104,187,188,189,189,189,189,95,109,120,129,134,156,185,161,140,122,119,113,127,170,171,176,163,133,112,101,86,145,192,188,190,189,190,190,96,111,120,128,137,148,184,156,141,131,124,122,145,164,169,167,146,123,106,93,93,179,190,190,191,191,192,193,97,113,123,130,138,142,176,160,153,149,135,128,150,161,162,147,127,111,99,88,124,191,189,190,192,192,193,192,99,113,122,131,139,141,166,170,155,147,133,122,131,147,147,128,108,100,94,92,169,191,190,190,193,194,194,194,101,115,122,131,138,144,157,179,150,140,126,113,110,123,122,112,98,97,89,132,191,190,191,193,193,194,194,194,101,116,123,132,139,145,151,187,161,137,118,108,112,113,113,107,95,93,97,179,189,190,192,193,194,194,194,195,101,116,123,131,139,144,150,186,175,141,120,118,125,114,113,110,94,80,129,192,190,191,193,194,195,195,195,195,102,116,123,131,140,144,163,196,189,151,138,133,131,113,104,100,89,70,141,194,190,192,194,194,195,195,195,195,103,117,124,132,138,162,189,183,204,160,146,134,126,110,99,90,84,66,144,194,190,192,194,194,195,196,196,196,104,118,125,133,139,196,202,155,191,165,151,132,121,108,89,87,83,68,154,194,191,193,194,195,196,196,196,196
10,131,133,135,138,138,140,142,142,144,144,144,145,146,149,151,151,150,150,151,151,151,152,152,151,150,150,151,151,134,136,139,141,142,143,145,146,146,147,147,148,150,151,153,148,150,152,153,153,153,153,154,153,152,152,152,152,139,141,143,145,147,148,149,150,151,151,152,153,154,155,169,133,132,156,156,157,157,157,157,156,155,153,153,153,143,146,149,149,151,153,153,154,155,155,157,157,157,159,179,132,116,160,159,159,160,160,159,159,158,157,156,155,147,149,153,154,156,156,157,158,159,159,161,161,160,163,184,139,110,161,162,163,164,163,161,161,161,160,159,159,152,153,156,159,160,160,161,162,164,164,164,164,164,167,188,148,112,163,166,166,166,166,164,164,164,163,161,160,155,157,161,164,163,163,165,168,160,163,169,169,169,171,192,157,115,164,171,170,169,169,168,167,166,165,164,163,159,161,164,166,166,167,169,172,127,110,149,151,164,175,196,165,115,161,174,174,173,173,172,171,169,169,168,167,162,164,167,169,171,172,173,157,99,65,85,95,124,178,197,170,113,159,177,177,177,176,175,174,173,172,172,170,165,168,170,172,174,174,176,171,113,69,81,80,94,178,204,176,113,160,181,180,180,180,179,177,176,175,174,173,167,171,174,175,176,177,179,182,158,106,134,100,82,162,178,159,109,163,184,183,183,183,183,182,180,179,178,177,170,174,177,179,179,179,184,193,162,100,170,144,96,113,110,119,102,165,188,187,187,187,186,184,183,182,181,180,173,176,179,181,183,182,183,202,166,81,143,167,119,77,75,93,93,166,190,189,190,189,188,187,186,184,183,182,176,179,182,184,192,200,190,202,175,96,93,177,149,94,76,93,88,165,192,191,192,192,191,190,189,187,187,186,178,181,183,186,191,205,186,190,185,126,66,155,175,123,85,88,85,168,195,194,194,194,193,192,192,191,189,188,180,184,186,188,188,179,162,153,207,162,72,104,181,149,101,79,83,165,198,196,195,195,195,195,194,194,191,189,183,186,188,190,190,181,157,133,176,133,63,85,160,161,125,81,79,167,201,199,198,198,197,197,196,194,193,192,186,188,190,191,193,193,159,141,129,78,80,122,153,159,129,83,76,171,203,201,200,200,200,199,197,195,195,195,187,189,192,194,196,205,183,149,125,104,157,191,170,144,119,84,82,179,203,202,202,201,201,200,199,198,197,197,189,192,193,196,198,212,190,169,162,155,206,209,175,132,110,86,98,194,203,203,204,202,202,200,200,200,199,198,191,194,194,196,199,209,200,186,178,171,214,201,167,129,102,85,115,203,205,204,204,204,203,202,202,201,201,200,192,194,196,198,200,207,201,183,181,176,207,188,156,124,98,82,121,207,207,207,206,206,205,204,203,203,202,201,194,196,198,200,200,202,203,194,191,173,193,179,147,118,93,81,127,209,208,208,208,208,207,207,206,204,202,202,195,197,199,200,201,200,198,197,189,167,187,175,141,112,92,83,138,210,209,209,209,209,208,207,207,205,204,204,196,199,200,201,203,202,198,193,177,156,174,169,141,115,95,87,163,211,210,210,210,208,209,208,207,207,206,206,196,198,200,200,202,202,206,186,163,156,169,155,149,130,96,101,194,213,213,213,212,210,210,210,209,209,208,207,196,198,200,202,203,200,211,198,181,172,167,159,161,136,91,132,210,214,215,214,214,214,213,212,211,210,209,208,194,196,199,201,201,194,210,205,191,178,161,161,155,126,88,171,214,214,214,214,214,213,214,214,212,211,209,208
20,143,146,149,151,155,159,161,163,165,167,168,170,172,171,174,177,177,176,176,178,179,179,179,178,179,178,179,179,146,149,151,153,157,160,162,165,166,167,168,172,173,173,178,158,166,181,181,179,181,180,181,181,181,182,182,181,146,149,152,156,160,161,164,167,167,168,170,174,176,173,196,135,120,153,154,187,184,185,185,184,182,183,184,183,148,152,155,156,160,162,167,168,169,171,175,177,177,176,207,141,151,157,101,184,186,185,184,184,183,184,185,183,149,152,155,158,161,164,167,169,170,173,177,178,177,179,201,140,169,176,95,175,189,185,186,186,186,187,187,185,151,154,157,160,163,166,168,170,173,175,176,177,175,186,217,155,173,181,104,174,193,189,189,189,189,188,188,187,152,156,158,160,164,166,170,173,175,175,178,181,175,197,215,153,193,185,111,168,195,189,190,190,190,190,190,188,152,155,159,162,165,167,170,173,176,178,167,171,183,199,188,146,197,178,106,161,199,190,192,190,189,191,190,188,153,156,160,163,166,170,172,174,177,183,166,109,154,214,176,137,203,164,99,166,201,193,194,192,192,192,190,189,154,157,161,165,167,172,175,173,175,192,168,127,92,175,163,136,203,161,102,179,198,194,196,193,193,192,191,190,156,158,161,166,168,171,173,183,158,160,179,165,151,109,106,118,173,153,103,184,198,195,196,194,195,194,193,192,156,159,163,167,169,168,184,210,153,116,185,194,183,134,77,75,136,137,98,187,198,195,196,196,196,195,195,195,157,159,163,167,169,170,189,172,183,149,110,149,192,169,110,77,110,107,93,193,198,197,198,198,197,195,195,196,158,160,165,169,172,168,197,163,130,124,55,58,180,200,152,85,87,95,86,191,199,198,200,199,198,197,197,196,158,160,165,169,172,171,193,157,123,118,81,77,141,218,178,113,76,88,85,191,201,199,200,198,197,197,197,196,158,160,164,170,171,172,200,194,160,129,96,109,124,218,200,145,88,72,77,192,201,198,199,198,196,197,196,195,159,161,166,171,173,172,214,184,138,118,108,127,144,218,200,160,104,64,70,190,203,200,201,199,198,197,197,196,160,163,165,170,174,174,211,178,142,131,134,130,202,235,182,156,111,63,71,195,204,201,202,201,198,198,197,198,161,163,167,172,174,177,219,187,155,144,144,148,236,230,185,149,117,66,77,201,202,201,202,201,198,200,200,198,162,165,168,173,176,177,221,194,167,137,157,180,234,214,191,149,117,68,89,208,200,201,202,201,199,199,201,200,162,165,168,172,176,177,223,204,172,153,154,196,229,197,185,142,114,64,107,211,199,202,202,201,200,201,201,199,161,164,169,174,178,175,220,206,178,182,155,202,224,195,180,146,107,63,121,213,199,201,202,201,200,202,201,200,161,165,169,174,178,175,206,214,193,201,175,185,212,186,173,147,104,60,120,214,201,203,203,203,202,202,201,200,161,166,170,175,177,177,189,215,203,204,188,177,196,181,172,146,103,62,126,213,200,204,203,203,203,203,202,202,159,165,170,175,177,179,180,210,208,192,174,177,185,173,171,162,104,63,147,213,201,203,203,203,203,203,203,202,160,164,169,175,177,180,179,208,196,178,161,165,181,170,169,163,107,69,175,210,203,205,204,203,203,203,203,202,160,165,171,174,177,180,180,207,186,173,163,160,181,173,164,159,95,86,203,205,205,205,205,204,204,204,204,203,159,166,171,174,177,180,182,212,206,193,171,166,186,164,152,150,77,117,216,203,206,206,205,205,204,205,205,205
11,144,144,144,144,143,142,143,143,140,143,140,138,138,138,137,136,134,133,132,131,129,127,126,126,124,123,121,123,147,147,146,147,146,146,147,145,148,122,140,142,140,140,139,138,137,136,134,133,132,130,129,127,126,125,128,112,150,150,150,150,150,150,150,149,157,110,107,152,144,144,142,140,139,138,137,135,134,133,131,128,129,128,82,35,154,154,154,153,153,154,153,153,150,135,81,138,151,147,145,144,142,140,139,137,136,136,133,132,128,68,19,20,157,156,156,157,157,157,156,156,153,146,91,108,158,149,149,147,146,144,143,141,140,138,136,140,88,33,28,29,161,160,160,159,160,159,159,158,156,146,100,89,160,151,152,150,149,147,146,144,143,140,141,133,50,45,40,27,162,163,163,163,162,162,162,161,160,151,129,79,149,159,154,152,152,150,149,147,146,143,146,124,41,46,39,35,164,165,165,164,164,163,164,164,162,164,141,76,133,164,156,155,154,152,151,150,149,145,149,120,42,38,26,30,168,168,168,167,166,166,167,166,164,166,149,78,117,169,157,158,157,155,153,152,151,147,153,107,33,39,22,34,169,169,169,168,169,168,167,169,166,152,146,94,97,170,160,159,158,157,157,155,153,149,158,96,26,36,21,27,170,170,170,170,170,171,170,170,171,153,147,130,81,150,170,165,160,160,158,157,156,152,159,86,26,33,19,24,172,172,173,173,172,173,173,172,174,165,153,159,96,130,113,140,168,161,161,159,158,156,154,59,27,17,19,34,174,174,174,174,175,174,173,173,173,170,151,159,167,159,80,80,173,162,163,162,159,158,157,73,64,72,62,41,175,175,175,176,175,175,175,174,175,177,157,163,142,115,92,64,160,168,164,163,161,159,151,137,133,126,112,69,176,176,176,177,177,177,178,177,168,141,161,173,126,58,80,66,134,174,164,164,162,153,151,148,130,95,73,58,178,178,179,178,179,180,177,169,163,100,87,146,121,64,67,69,103,177,163,167,154,157,158,139,94,84,68,40,180,179,179,180,181,179,169,172,156,110,76,90,125,82,60,70,72,171,175,162,141,151,148,93,74,126,120,35,180,180,182,181,179,169,176,158,121,123,102,71,105,100,56,70,66,120,154,129,136,142,103,91,131,137,129,79,182,181,182,183,173,169,156,118,76,105,106,75,79,104,59,64,76,58,81,116,133,112,88,165,123,99,113,112,184,184,184,184,171,168,154,124,70,75,118,52,48,107,71,57,104,85,82,113,115,77,145,170,152,47,97,114,185,186,185,186,167,168,156,120,80,69,95,30,36,112,71,50,121,97,80,103,75,102,175,161,170,123,112,123,186,186,185,187,175,163,154,139,125,84,51,41,40,111,94,65,79,92,92,82,66,161,171,166,163,167,139,111,187,186,187,188,185,164,160,151,133,107,72,60,76,116,113,79,91,129,97,57,130,179,167,167,164,166,143,106,188,188,188,188,189,172,158,150,145,120,94,70,84,137,121,88,113,105,76,65,169,173,170,168,165,167,146,89,188,188,189,188,191,179,162,152,141,122,97,82,76,120,143,126,111,91,56,98,184,171,170,169,168,168,149,80,188,188,188,188,188,185,158,151,132,121,103,89,80,101,123,116,104,78,51,155,179,171,170,169,166,170,143,112,188,188,188,189,187,191,167,143,137,124,111,99,85,84,101,95,87,49,115,182,171,171,169,169,171,161,125,123,189,189,190,190,188,190,184,144,136,126,118,104,83,72,82,76,54,92,181,173,173,171,169,167,130,118,117,123
16,66,67,71,76,86,96,101,108,113,116,117,119,123,128,131,136,138,139,140,143,145,145,147,149,150,150,152,153,66,68,72,77,87,96,104,109,114,116,117,120,125,129,131,134,137,140,142,144,145,146,148,149,151,151,151,153,66,69,73,77,88,97,105,110,115,116,118,122,125,129,132,136,138,141,143,145,145,147,149,151,152,152,153,154,67,70,73,77,89,98,105,110,115,118,120,123,127,129,134,136,138,141,142,145,147,149,151,152,152,153,154,154,67,71,73,78,91,101,107,113,117,119,122,124,130,135,135,139,144,143,144,147,149,150,153,153,153,154,155,155,67,71,74,81,92,102,110,112,116,120,121,120,121,116,105,98,109,145,147,146,151,153,154,153,155,157,157,157,69,72,75,83,94,102,106,114,124,119,107,94,83,71,64,67,60,79,143,153,151,154,156,157,157,158,158,159,70,73,75,84,93,101,119,135,127,104,77,73,71,60,53,62,71,51,69,147,156,153,158,160,160,159,160,161,70,74,78,80,93,127,142,116,91,71,54,66,67,56,52,61,66,57,57,72,160,156,159,160,160,161,162,162,71,75,67,100,129,122,87,74,68,56,53,69,67,54,57,64,63,56,75,43,102,169,158,161,161,163,163,163,69,69,109,141,104,74,56,60,59,43,63,75,64,56,65,66,55,65,72,59,48,153,161,161,164,166,166,166,65,148,161,99,68,56,46,46,73,101,70,55,34,58,73,62,39,70,69,59,39,93,175,162,166,166,166,167,91,185,118,83,58,42,63,100,166,166,86,34,37,39,64,47,30,80,66,54,51,36,128,173,164,166,167,168,74,134,93,63,61,113,176,171,177,153,104,51,44,39,30,11,40,87,62,66,66,57,52,138,173,166,169,170,69,78,80,71,157,178,175,163,176,146,106,67,50,43,2,0,48,85,61,74,76,76,60,65,171,170,170,170,74,75,77,99,181,158,175,169,173,132,92,69,64,54,46,0,31,77,61,71,81,69,61,39,136,179,170,171,74,78,71,119,190,159,182,171,155,107,65,68,73,64,59,37,11,58,68,111,97,61,50,33,93,184,170,173,75,77,69,147,192,156,181,167,132,85,72,78,81,76,60,50,14,26,118,151,146,126,92,31,94,186,171,174,76,79,71,156,191,152,156,146,89,61,64,85,80,67,62,53,44,30,142,168,168,168,164,117,126,181,173,176,74,77,73,131,197,152,100,90,53,51,59,65,61,54,49,47,62,44,135,175,170,173,176,163,112,134,182,175,74,76,79,101,164,99,65,58,58,68,73,63,46,43,48,41,47,34,105,186,164,170,170,146,103,82,181,176,75,75,83,94,116,73,56,74,68,55,48,44,36,34,36,33,47,65,72,137,157,157,155,131,80,110,185,177,76,77,84,97,107,107,63,61,44,63,66,73,67,45,34,55,66,74,64,48,72,122,133,112,125,177,181,179,76,76,84,97,113,102,51,52,41,48,121,90,64,55,40,28,28,19,17,17,0,75,184,173,185,183,180,180,75,77,84,97,112,81,53,47,51,34,13,37,16,3,0,0,0,0,0,0,0,47,193,179,180,180,181,182,75,78,85,100,103,65,52,45,40,53,6,0,6,3,0,0,0,0,0,0,0,133,190,177,181,181,183,184,74,77,85,101,86,56,49,42,39,42,36,0,0,5,0,0,0,0,0,0,10,178,179,180,183,184,184,184,74,77,85,99,65,51,47,40,36,39,45,0,0,0,0,0,0,0,0,0,64,198,177,181,184,185,185,185
7,118,132,141,148,152,155,157,158,162,165,166,167,167,170,170,170,170,170,169,168,167,164,163,162,160,159,157,154,119,133,141,148,154,158,158,160,164,167,168,169,170,171,172,172,171,171,171,169,168,167,165,163,162,162,159,156,121,135,143,150,155,158,160,162,165,169,169,171,172,173,175,174,173,173,172,172,169,169,167,165,165,163,162,160,123,135,145,151,156,159,162,164,167,169,169,172,175,176,176,176,175,175,175,175,172,170,170,169,167,165,164,161,124,135,145,152,157,161,163,166,169,170,172,174,175,176,177,177,177,177,176,176,174,172,172,170,169,167,166,163,125,136,146,153,158,162,163,167,170,171,174,176,176,178,178,178,178,178,176,176,175,174,173,172,171,169,167,165,126,138,147,154,161,163,164,167,171,172,174,176,177,179,181,184,186,186,183,182,181,181,177,176,175,171,168,167,126,137,147,154,161,164,166,171,176,178,180,179,177,175,171,163,153,150,149,152,137,124,140,144,157,173,169,169,127,138,148,154,161,166,164,150,142,136,134,134,126,112,104,111,82,86,95,94,90,89,140,135,118,178,171,170,129,140,149,154,161,164,145,109,93,104,105,110,110,101,93,82,77,77,82,74,83,80,91,83,120,173,175,172,130,140,149,154,159,152,133,97,75,82,84,87,91,94,96,96,98,80,80,92,85,80,73,66,85,107,140,176,130,141,149,149,145,133,125,107,89,84,92,103,109,111,111,107,100,69,70,95,82,72,72,61,78,96,90,172,135,147,144,141,133,132,128,114,107,108,113,121,111,107,104,98,75,59,59,62,54,50,50,46,52,66,115,178,155,148,144,141,141,138,121,91,69,79,93,95,81,73,68,61,57,74,91,110,121,132,137,143,147,156,176,176,156,150,150,147,136,116,110,69,52,69,66,45,70,123,137,157,169,182,191,196,196,194,192,191,188,185,179,177,153,152,149,133,113,110,97,66,53,42,30,22,40,82,83,138,202,190,187,186,186,185,184,183,181,180,179,177,155,153,136,117,106,98,101,99,74,40,36,42,38,28,18,21,174,195,190,190,188,188,187,185,185,181,180,178,151,136,112,105,102,101,111,117,84,43,41,44,45,43,37,37,177,195,190,190,190,189,188,187,186,184,182,178,127,111,99,98,94,88,94,88,54,35,28,27,35,35,32,25,166,198,189,191,191,190,188,187,185,185,182,179,109,102,97,96,90,75,72,62,44,26,17,30,40,41,28,34,165,198,190,192,191,190,187,187,185,185,181,178,104,96,89,82,72,58,55,63,59,37,41,51,48,29,48,173,197,192,193,192,191,190,187,186,186,184,183,180,90,78,73,69,67,65,74,84,68,44,34,33,42,66,164,199,191,192,192,192,191,189,187,185,185,184,183,180,85,81,79,73,69,69,73,68,42,37,92,133,163,189,193,187,191,189,190,189,188,187,186,184,183,183,180,178,78,78,75,68,58,53,48,48,76,150,190,193,191,187,187,190,191,190,189,189,188,187,186,185,185,182,179,177,44,46,61,60,61,70,105,150,181,186,180,182,185,187,189,190,191,190,190,189,188,186,185,185,183,180,179,176,0,0,139,140,152,166,176,177,176,178,181,185,185,186,187,188,188,188,188,187,187,185,185,183,180,178,177,174,0,16,154,153,163,165,165,171,176,179,182,186,188,190,190,190,190,190,191,190,191,189,187,187,184,183,182,178,0,52,174,154,158,159,160,161,162,163,160,160,162,162,162,158,155,155,154,149,145,143,140,136,133,127,121,87
22,132,135,137,140,142,145,147,150,151,154,157,156,156,158,159,160,161,161,159,160,161,161,162,162,162,161,162,161,134,138,140,142,145,147,151,152,154,156,158,158,163,162,162,163,163,166,163,163,164,163,165,165,164,165,164,165,136,141,142,145,147,149,152,154,157,158,161,162,135,161,165,166,162,136,166,165,162,168,168,169,167,168,167,166,138,142,144,147,149,151,153,158,159,161,165,158,102,152,171,171,171,100,158,175,139,137,175,169,169,169,170,169,140,143,146,148,151,154,157,160,162,162,172,152,91,155,171,178,169,104,161,183,139,110,178,171,172,171,172,172,142,145,148,151,153,156,159,162,164,163,176,150,88,158,172,185,166,111,167,182,138,108,177,173,174,174,174,174,144,147,150,153,155,158,161,163,166,165,178,158,91,158,176,185,156,114,172,185,145,113,178,176,176,175,176,176,145,149,151,154,157,160,163,166,170,167,179,169,93,151,179,183,143,112,175,183,142,118,182,178,178,177,178,177,147,151,153,156,159,162,165,168,171,169,184,171,92,150,183,174,131,114,177,184,141,118,185,179,180,180,180,180,148,152,155,158,161,163,166,169,173,171,185,180,101,143,192,158,126,113,182,185,142,123,188,180,181,181,181,181,149,153,156,158,161,164,167,170,174,174,182,189,139,126,131,145,136,115,187,189,135,130,190,180,182,183,182,183,151,154,157,161,163,166,169,172,174,176,181,181,160,137,119,122,132,128,191,184,128,140,193,182,184,185,185,185,152,155,159,162,164,167,170,174,176,175,187,202,174,168,168,152,109,135,189,178,121,151,193,184,185,185,186,186,153,157,160,162,165,168,171,175,177,180,182,172,175,137,180,166,118,99,157,153,111,165,192,186,186,187,187,187,155,159,162,165,168,170,173,176,177,183,177,154,164,92,122,173,145,98,99,119,97,174,191,187,186,187,188,188,155,159,162,166,169,170,173,177,178,186,188,153,154,117,62,145,175,132,92,90,100,186,191,189,188,189,189,189,156,160,163,166,169,173,176,178,179,192,182,143,138,124,80,102,190,161,117,85,101,192,191,190,191,191,190,190,157,161,163,167,169,172,176,179,179,196,189,151,117,103,94,151,196,169,134,103,102,193,191,192,192,192,191,191,158,162,164,167,170,173,175,179,180,201,185,145,119,123,127,200,191,156,132,106,101,197,192,192,193,192,192,192,159,163,166,168,171,174,177,180,182,196,179,146,140,125,159,199,177,147,117,92,117,199,191,193,193,194,194,193,159,164,166,169,173,175,178,181,182,194,177,144,143,123,175,198,163,136,113,86,137,203,193,195,195,197,197,196,160,163,167,170,172,176,179,181,182,189,175,144,151,131,185,197,154,127,107,86,144,205,195,197,198,198,197,197,159,163,167,169,172,176,179,181,183,184,175,150,163,134,179,185,149,122,102,82,155,205,195,197,198,198,198,198,159,163,167,170,172,175,179,181,185,181,175,155,164,136,171,169,139,117,99,83,169,202,195,197,197,197,199,198,161,164,167,170,173,175,179,182,184,184,180,158,155,129,156,154,126,116,96,91,183,197,197,197,197,197,198,197,161,164,167,171,174,176,179,183,183,183,180,154,134,120,150,136,122,119,92,120,199,196,197,197,198,198,198,198,160,164,168,171,173,177,179,183,181,185,182,158,138,135,155,125,132,109,86,172,201,197,198,198,198,198,198,197,160,164,167,170,174,176,179,182,178,188,188,167,155,142,152,121,133,88,123,201,195,198,198,198,198,198,198,198
20,164,167,170,173,175,177,179,180,181,182,184,185,185,187,185,184,185,185,185,185,185,184,183,181,180,179,179,177,166,169,172,174,177,179,181,182,183,184,185,186,187,196,187,174,183,185,186,186,186,185,185,184,183,181,180,179,169,171,174,176,179,182,183,185,186,186,187,188,190,207,187,158,178,173,184,188,187,187,187,186,185,183,181,181,171,174,177,178,181,184,185,187,188,189,190,192,193,212,188,160,184,158,176,190,190,190,190,188,187,186,184,183,173,176,179,180,183,186,187,189,190,192,193,194,196,214,193,169,196,159,169,193,193,193,192,191,190,188,186,185,175,178,180,183,186,188,189,191,193,194,195,195,198,220,202,175,204,169,166,193,196,196,195,193,192,191,189,188,177,179,182,185,188,190,192,193,195,196,197,198,202,223,200,180,211,178,166,195,199,198,197,196,194,193,191,190,178,181,184,187,190,192,194,196,196,197,199,200,205,223,196,185,214,177,164,196,201,201,199,198,196,195,194,193,180,183,186,189,192,194,196,197,198,202,214,213,205,215,193,187,215,174,163,198,203,202,201,200,198,197,196,195,182,185,188,190,193,196,198,199,201,211,235,232,197,172,167,179,209,172,167,201,204,204,203,202,200,199,198,197,184,187,190,192,195,197,199,204,218,225,218,212,191,151,135,155,185,163,170,204,206,205,204,204,202,201,200,199,185,188,191,194,197,199,201,213,233,230,205,186,189,177,162,146,151,146,169,205,208,207,206,205,204,203,202,201,187,189,193,196,199,201,203,217,218,192,196,179,173,199,196,156,128,128,166,206,209,209,207,206,206,205,204,203,188,191,194,198,200,202,205,218,207,157,145,135,130,177,203,170,129,120,163,207,211,211,209,208,208,207,206,205,190,193,196,199,201,204,206,220,208,172,146,122,117,145,205,197,149,119,160,209,213,213,211,210,210,209,207,206,191,194,198,201,203,205,208,226,225,191,153,131,131,143,205,220,173,125,156,209,215,214,213,212,211,211,209,207,192,196,199,202,205,207,210,230,227,185,150,139,147,164,215,235,193,140,153,209,216,216,214,213,213,212,211,209,194,197,200,204,207,209,212,231,228,189,160,153,163,189,234,239,201,151,154,209,217,217,216,215,215,214,212,211,195,199,202,205,208,210,214,234,236,202,173,168,182,217,248,236,196,153,153,208,218,218,217,217,216,215,213,213,197,200,203,206,209,212,215,234,241,213,184,179,198,235,250,231,190,152,152,208,220,219,219,218,218,217,215,214,197,200,203,206,209,212,214,232,244,222,194,188,210,243,244,222,186,148,148,208,222,220,220,219,219,218,216,215,198,200,203,206,209,212,214,229,245,227,206,200,214,243,236,211,179,142,143,206,222,221,219,219,219,218,216,215,198,201,205,208,211,213,214,225,242,233,218,213,214,234,225,201,173,137,140,206,223,222,221,219,219,218,216,215,198,202,206,209,212,214,216,222,238,238,226,219,207,214,207,187,165,130,143,211,224,224,223,221,220,219,214,200,200,203,206,209,212,215,217,220,236,243,228,211,191,190,189,174,159,126,155,218,226,226,224,223,219,207,182,147,201,204,207,210,213,215,215,211,228,242,220,192,168,169,178,167,150,123,176,224,228,227,226,217,190,151,121,102,197,200,204,208,211,210,179,139,181,230,205,175,155,164,178,158,133,120,192,226,228,227,218,182,135,110,97,89,175,178,183,187,191,187,132,70,134,218,205,174,154,169,180,144,115,93,155,212,221,219,188,134,106,96,88,85
11,151,153,154,156,157,157,158,158,158,158,157,156,154,155,154,153,152,151,149,149,148,147,145,144,143,142,141,138,153,154,156,157,158,160,159,159,159,158,159,157,156,157,158,156,154,153,152,151,150,149,147,146,144,144,142,139,153,156,158,158,160,161,161,161,161,161,160,158,157,157,147,155,157,155,154,153,150,150,149,148,146,145,144,142,156,157,159,161,162,161,161,162,162,162,161,161,159,171,122,113,163,155,155,155,153,151,151,150,148,145,145,144,157,158,160,163,163,163,163,163,163,163,163,162,161,174,127,89,161,157,157,157,155,153,153,152,150,147,145,144,158,160,162,163,164,164,164,165,165,165,164,163,163,170,126,93,158,159,157,158,156,155,154,152,151,149,148,146,160,161,163,163,165,167,166,166,166,166,166,164,163,182,137,96,156,162,158,158,157,157,155,153,152,150,148,147,161,164,164,166,167,168,168,168,167,166,167,166,166,188,145,94,151,165,159,159,158,157,156,154,153,150,149,148,162,164,165,168,168,168,169,169,169,168,168,166,171,183,133,89,152,165,160,160,160,158,157,155,153,153,151,150,163,165,167,168,168,169,169,169,169,169,171,169,176,175,131,86,157,166,161,161,161,160,159,157,155,154,151,150,164,167,169,170,170,170,171,174,175,170,148,137,180,172,132,93,161,165,163,163,162,162,160,158,156,154,151,151,167,168,170,170,172,176,173,157,152,166,131,84,143,154,112,94,169,166,164,164,163,162,160,159,158,156,153,151,167,169,172,172,162,153,175,135,87,114,144,97,73,94,75,101,177,167,166,164,163,163,162,159,158,157,155,152,168,171,172,179,157,93,133,148,85,101,146,96,59,71,62,128,177,167,167,166,165,165,164,162,158,157,156,154,170,171,177,186,168,109,103,157,90,100,133,86,61,70,62,137,177,168,168,165,163,157,149,154,163,160,156,155,172,171,190,194,171,116,82,136,84,87,121,80,59,62,55,135,179,168,168,159,156,141,124,116,120,156,157,155,171,178,192,176,161,121,66,104,79,97,128,92,54,59,58,141,177,167,178,163,136,111,92,88,65,124,165,155,171,179,200,177,160,114,64,118,84,111,169,112,63,68,70,125,169,171,159,113,67,75,105,120,111,146,163,157,173,182,204,189,149,98,79,151,118,112,196,110,61,84,108,132,164,158,112,60,94,163,173,171,170,165,159,157,172,184,204,180,141,141,99,164,174,75,119,94,90,123,116,129,135,108,62,110,178,171,167,165,162,162,161,158,172,183,200,179,157,145,98,137,131,75,130,155,140,127,105,106,96,58,108,182,171,170,169,167,165,163,162,160,174,181,196,186,170,147,151,159,164,154,150,142,131,119,100,83,59,91,178,174,172,171,169,168,166,164,163,161,174,178,191,183,168,147,138,148,165,155,143,135,117,113,91,55,101,175,177,174,173,172,169,168,167,166,163,162,186,186,187,180,159,129,121,138,145,138,135,118,112,100,59,117,186,178,176,176,174,172,169,168,168,167,164,162,78,130,181,164,140,116,135,142,138,129,118,108,85,67,130,187,177,176,176,175,175,172,171,169,167,166,163,162,40,53,152,164,158,156,146,134,130,111,89,58,93,161,186,178,178,176,175,175,174,172,171,169,166,164,163,161,60,55,64,125,155,151,134,122,114,91,54,88,191,186,179,180,179,178,176,175,174,173,171,169,169,166,163,163,52,54,49,54,89,105,111,105,88,64,46,160,189,180,181,181,180,179,178,176,174,174,172,170,169,165,165,155
13,163,165,167,169,171,173,174,176,177,180,179,178,179,179,179,179,179,179,179,179,177,177,178,176,176,175,175,174,164,166,169,171,172,174,175,178,178,179,181,180,180,181,180,181,180,180,181,180,178,179,179,178,176,175,176,176,165,168,171,172,174,176,177,180,180,180,181,181,181,182,182,183,181,181,181,181,180,180,179,179,178,177,178,177,167,169,172,174,175,177,179,181,182,181,182,183,184,183,184,184,183,182,182,181,180,181,180,180,181,180,180,179,168,170,173,175,177,178,180,182,182,183,184,184,185,185,184,185,180,182,192,165,136,167,181,181,182,181,181,180,169,171,174,176,178,179,181,182,184,184,186,186,184,177,190,193,154,151,209,166,113,113,171,161,170,182,182,181,171,173,176,179,179,180,182,183,186,186,186,193,187,147,158,201,160,129,203,163,110,75,149,133,103,179,183,183,172,174,176,179,180,181,183,185,186,187,189,217,199,159,116,193,165,122,197,156,105,79,151,134,80,159,185,184,173,175,177,179,182,184,185,186,189,187,205,216,209,168,112,175,165,108,183,162,96,109,170,135,72,139,186,183,174,176,179,180,183,185,187,188,189,190,216,188,203,168,106,152,162,104,180,170,104,90,124,93,64,139,187,185,175,177,180,182,183,185,187,187,188,202,216,191,200,151,97,149,151,96,110,131,85,77,119,109,74,148,187,186,176,179,180,182,184,186,187,187,198,219,200,171,191,136,94,169,143,102,35,43,47,115,166,162,105,159,188,188,177,179,181,184,186,187,189,188,208,221,191,155,171,135,90,176,151,100,36,90,117,156,170,164,119,157,189,189,179,181,182,185,187,188,190,190,217,218,192,159,138,139,84,182,185,113,109,188,183,164,139,125,107,125,191,190,179,181,183,186,189,190,192,192,227,217,199,180,151,115,84,152,167,149,196,197,177,154,128,103,92,96,189,191,181,182,185,187,190,192,192,195,232,218,201,184,167,133,127,133,180,205,206,189,166,144,117,96,86,99,191,191,182,185,187,189,192,192,193,198,232,218,200,188,173,147,138,150,206,215,201,177,151,133,108,91,79,143,193,193,183,185,187,190,193,194,195,196,230,221,203,191,178,155,143,171,212,213,196,169,141,121,99,85,84,184,195,194,184,186,189,192,193,194,195,197,229,222,206,193,177,160,156,186,200,196,181,159,136,112,90,76,115,196,196,196,184,188,190,193,194,195,196,197,229,221,205,192,174,161,173,189,177,175,162,144,126,100,80,88,174,197,196,195,186,188,192,194,195,197,198,196,230,220,210,192,173,169,184,183,164,160,142,126,107,84,101,174,197,198,197,197,187,189,192,195,196,197,200,200,235,223,217,195,181,180,189,174,157,142,126,111,88,100,181,198,200,199,199,199,187,189,192,195,198,197,196,216,237,228,221,195,188,189,183,161,144,122,112,92,95,178,202,202,200,200,200,200,188,189,192,194,198,199,195,228,228,225,217,192,189,184,172,146,124,109,96,88,164,199,203,202,202,201,201,201,188,191,193,195,198,199,199,226,213,209,202,185,182,180,156,131,114,101,82,149,200,204,204,203,202,202,201,201,189,192,194,197,199,197,204,222,204,191,186,173,177,174,139,123,109,88,108,192,205,205,203,204,202,202,201,201,189,193,195,197,199,191,215,221,196,186,181,169,169,155,127,117,97,80,152,204,207,206,204,203,203,203,202,201,190,193,196,198,199,190,229,218,183,179,181,167,156,140,119,106,83,94,181,207,207,207,206,205,204,203,203,201
2,198,199,199,199,199,199,199,199,198,198,197,196,199,192,194,196,195,195,193,191,191,190,189,187,186,185,183,181,201,201,201,201,201,201,201,200,200,200,200,209,204,158,173,197,197,194,196,194,194,193,191,190,189,187,185,184,203,204,204,205,205,204,203,203,202,204,222,211,165,128,132,177,185,157,188,198,196,195,194,193,192,190,188,187,205,206,205,206,207,206,206,205,213,230,220,161,128,116,125,150,154,126,165,195,197,196,196,195,194,193,190,189,207,207,207,207,208,207,207,220,245,230,180,131,121,114,109,116,120,114,117,164,199,199,198,196,195,194,193,191,208,208,208,209,209,208,208,241,237,180,137,114,114,116,111,97,110,120,111,120,167,203,200,198,196,195,194,193,209,210,210,211,211,209,223,248,203,138,111,97,99,107,109,109,110,113,111,112,165,203,200,200,198,197,196,195,211,212,212,213,213,215,245,230,171,129,113,104,95,111,126,131,120,131,143,169,199,203,202,201,200,200,198,196,214,214,214,214,214,235,242,191,141,116,116,114,108,120,124,134,173,196,203,207,207,205,203,202,202,201,200,198,215,215,216,214,229,251,231,172,130,109,113,112,119,119,149,194,211,212,211,210,209,207,206,204,204,203,201,200,216,217,216,219,249,250,214,165,136,123,112,113,125,155,213,215,214,214,214,212,211,209,208,207,206,204,202,201,218,219,217,231,255,240,195,154,135,131,121,116,126,181,220,216,215,215,215,213,212,211,209,209,208,206,205,203,220,221,220,245,254,230,180,144,132,130,126,119,140,211,220,218,215,216,215,215,214,213,211,210,209,208,206,205,222,221,231,254,249,215,169,141,129,127,126,125,181,223,221,220,218,217,217,216,215,214,213,212,210,209,208,207,223,223,247,255,241,197,155,137,131,126,125,134,209,223,222,222,220,219,218,217,216,216,214,214,213,211,209,209,223,234,254,253,227,183,147,134,131,129,123,154,225,223,224,223,222,221,220,219,218,217,217,216,213,212,210,209,225,247,255,247,211,166,138,132,129,126,113,171,229,226,225,225,223,222,221,221,219,215,212,207,209,214,212,212,236,254,254,235,191,152,136,128,121,116,109,142,218,229,226,225,224,224,223,220,210,195,187,175,163,207,214,214,250,255,249,217,179,153,139,123,112,113,116,117,155,213,228,227,226,225,222,201,195,185,169,148,160,210,217,215,254,254,242,207,180,157,137,116,109,117,119,126,133,148,184,209,203,196,197,190,194,169,155,186,214,218,217,215,255,255,240,205,176,154,132,115,116,129,136,147,154,147,146,169,178,188,193,193,181,154,199,223,221,220,219,218,194,201,205,187,166,143,125,118,125,140,153,159,166,164,158,178,182,186,183,169,151,177,224,224,222,221,220,219,99,98,91,90,100,97,97,107,128,146,156,163,169,169,159,171,166,164,169,181,198,221,226,225,224,222,220,219,95,86,69,66,73,69,62,67,95,137,154,161,163,158,144,152,177,205,220,229,230,228,227,226,225,224,222,221,91,81,68,69,73,66,59,55,57,87,142,153,150,151,179,211,230,234,232,232,232,231,229,227,227,226,225,223,86,78,70,70,69,62,56,52,53,55,98,148,176,216,234,236,235,234,234,233,231,231,230,228,227,227,225,224,82,77,70,70,67,60,54,51,53,51,98,213,235,237,236,236,236,237,235,234,234,232,231,230,229,228,226,225,81,75,69,69,65,59,53,51,55,55,170,242,237,237,237,237,237,236,235,235,235,233,233,233,230,229,228,227
6,175,176,176,177,180,179,181,182,182,183,182,181,181,182,181,180,181,181,182,182,183,181,180,180,178,176,177,178,182,183,182,183,184,183,183,183,184,185,184,184,184,184,185,184,186,186,184,184,185,184,183,182,181,180,181,179,185,186,186,186,187,188,187,188,188,189,189,189,189,189,188,190,190,189,188,188,189,189,186,184,186,185,185,176,188,189,190,191,190,191,191,190,191,193,192,192,191,192,192,194,193,191,191,191,190,191,188,188,191,188,191,161,192,192,193,193,193,194,194,194,196,196,195,196,201,196,194,195,195,195,197,197,195,192,198,194,192,192,192,182,197,195,197,197,197,198,198,198,199,200,203,185,169,202,200,201,198,198,192,195,185,196,242,192,188,196,194,190,200,200,201,201,200,202,203,204,203,200,220,168,86,175,192,187,199,199,183,189,191,177,203,156,189,200,196,197,202,203,205,205,203,206,208,209,208,210,225,170,173,196,188,179,198,193,180,160,148,126,123,172,202,199,200,199,205,207,208,208,210,210,213,212,207,208,212,218,224,207,177,167,137,123,111,105,120,160,201,209,203,204,203,201,209,210,211,212,211,213,206,199,203,208,215,213,189,162,137,107,107,127,157,194,212,217,212,207,206,205,204,203,212,212,214,214,216,214,196,192,193,194,178,141,108,90,106,173,208,215,220,216,213,213,212,210,209,208,208,205,215,215,216,214,224,224,218,216,171,131,133,117,91,107,189,221,225,222,215,218,216,216,216,213,212,211,210,209,218,218,218,216,231,233,244,202,132,120,121,139,149,148,136,136,160,197,226,219,219,218,219,218,216,214,213,211,220,220,219,224,239,239,250,184,147,163,131,123,141,153,140,134,127,99,196,229,220,221,222,221,218,217,216,215,221,222,221,235,250,246,246,234,237,214,145,112,126,136,124,116,123,82,174,238,224,224,223,222,219,219,218,217,224,224,225,243,252,245,246,248,252,223,153,106,123,135,137,125,113,89,167,239,224,225,225,226,223,221,221,220,227,227,230,240,247,247,245,245,239,231,200,158,119,102,127,134,129,107,100,233,228,226,226,227,227,226,225,224,228,228,226,246,244,249,244,245,243,245,248,208,133,96,119,128,120,96,117,239,230,229,228,228,229,228,227,227,229,227,228,246,250,252,249,249,244,245,250,200,136,113,113,118,112,94,106,222,236,231,230,231,231,229,228,228,233,225,238,248,251,254,255,249,241,246,229,172,128,120,114,114,110,107,73,190,246,233,232,231,231,229,230,230,235,216,238,250,250,255,253,237,236,228,194,154,132,123,101,110,111,100,111,229,239,235,235,234,233,232,232,231,230,214,241,249,251,254,234,227,226,203,171,144,148,154,103,82,83,92,215,244,235,237,237,236,235,235,232,232,220,224,250,245,244,235,219,216,216,196,170,161,156,161,77,51,88,202,249,238,240,239,238,236,237,235,235,234,212,232,247,240,234,225,214,210,205,194,182,169,138,107,148,185,234,250,244,242,240,240,240,237,238,238,237,235,210,236,243,228,222,213,218,218,198,182,176,146,96,144,255,250,246,244,245,244,243,242,242,241,240,238,238,236,219,235,234,224,219,203,210,209,188,174,154,122,89,223,250,245,245,244,244,245,245,244,242,242,241,240,240,237,224,230,222,219,211,194,196,189,175,156,129,94,154,255,246,248,247,246,245,246,245,244,245,244,243,243,241,239,224,227,228,220,203,192,185,176,150,125,100,104,236,251,245,248,248,247,246,247,247,246,246,245,244,244,243,241
5,229,231,235,239,238,238,239,240,241,240,244,241,243,243,243,241,248,233,242,240,239,238,235,235,234,231,230,229,231,235,238,240,240,240,243,237,255,249,201,250,244,245,246,241,255,189,232,246,243,240,238,237,237,235,233,232,234,236,240,243,243,246,247,241,255,255,176,244,250,246,244,254,255,171,226,252,244,244,242,240,239,237,237,236,237,239,241,245,244,244,250,246,252,255,188,232,255,250,242,255,255,166,246,250,246,246,245,243,241,240,240,237,240,243,245,245,250,255,209,246,254,255,217,222,255,250,253,255,220,179,255,248,250,249,247,247,246,244,242,239,242,245,247,250,244,255,205,218,255,255,250,213,255,246,255,255,192,213,255,252,254,250,248,250,249,247,244,244,246,247,248,253,243,255,245,192,255,255,241,204,255,255,255,252,169,243,255,255,255,253,252,251,249,247,246,246,247,249,252,255,247,255,255,197,255,255,227,189,255,255,255,183,186,255,255,255,255,255,255,254,252,249,248,248,248,251,254,255,251,255,255,223,242,255,253,194,255,255,245,156,232,255,255,255,255,255,255,255,254,253,251,251,251,252,255,255,255,255,255,255,205,255,252,206,219,232,231,173,255,255,255,255,255,255,255,255,255,255,254,253,252,254,255,255,255,255,255,255,226,255,244,223,168,201,203,190,255,255,255,255,255,255,255,255,255,255,254,253,254,255,255,255,255,255,255,255,255,238,209,224,161,169,173,216,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,198,192,171,162,150,231,255,255,255,255,255,255,255,255,255,255,244,246,255,255,255,255,255,255,255,255,255,255,255,178,160,161,152,183,239,255,250,225,239,255,240,243,255,243,182,221,255,255,255,255,255,255,255,255,255,255,255,198,162,159,154,165,191,220,191,152,181,198,196,216,227,225,182,252,255,255,255,255,255,255,255,255,255,255,255,198,164,154,152,166,161,151,164,232,255,255,255,255,255,236,199,255,255,255,255,255,255,255,255,255,255,255,255,205,168,151,156,154,152,223,255,255,255,255,255,255,248,195,252,255,255,255,255,255,255,255,255,255,255,255,255,213,173,155,150,125,246,255,255,255,255,255,247,255,195,221,255,255,255,255,255,255,255,255,255,255,255,255,255,210,171,153,143,142,208,246,255,255,255,247,253,242,165,245,255,255,255,255,255,255,255,255,255,255,255,255,255,210,166,142,140,156,150,171,199,215,225,246,247,192,201,255,255,255,255,255,255,255,255,255,255,255,255,255,255,203,161,137,140,146,159,187,189,201,231,223,192,224,255,255,226,167,255,255,255,255,255,255,255,255,255,255,247,193,166,141,147,154,182,206,198,195,205,179,236,255,255,255,159,157,255,255,255,255,255,255,255,255,255,255,230,201,178,145,155,180,200,205,203,175,167,251,255,255,255,234,151,155,255,255,255,255,255,255,255,255,255,255,226,215,186,146,158,190,202,202,189,178,255,255,255,255,242,149,138,122,255,255,255,255,255,255,255,255,255,255,236,218,185,148,156,189,190,190,166,255,255,255,255,255,173,135,131,111,255,255,255,255,255,255,255,255,255,255,248,210,173,139,146,173,176,155,227,255,255,255,236,167,143,130,112,99,255,255,255,255,255,255,255,255,255,255,226,164,133,110,117,131,151,218,255,255,255,221,155,145,135,126,113,95,252,255,255,255,237,255,255,255,255,247,170,113,99,87,97,78,176,255,255,255,212,140,141,133,122,119,122,106
18,223,224,224,226,228,227,226,228,228,225,223,223,222,221,220,220,220,219,218,216,215,214,212,210,209,208,205,204,224,225,227,228,228,229,229,229,229,229,226,225,224,223,224,225,225,220,221,220,217,214,213,211,210,208,205,205,227,227,227,229,228,230,232,232,230,228,230,231,233,231,229,222,215,227,223,224,225,223,213,213,212,211,209,207,228,228,230,230,230,231,232,233,231,230,230,190,159,213,224,173,135,161,232,206,177,191,221,214,212,213,211,210,229,230,230,231,233,234,234,235,234,241,230,174,130,119,186,178,132,93,155,169,134,105,170,227,214,213,211,211,231,231,232,232,234,235,238,210,172,197,229,184,159,116,157,215,139,123,87,154,145,103,89,216,218,215,212,211,232,233,236,236,235,235,246,208,171,143,177,215,160,132,127,213,143,133,128,123,138,122,74,184,226,215,215,213,233,236,236,238,238,238,243,225,198,177,132,192,183,137,104,162,168,151,146,133,156,140,78,184,227,217,216,214,233,236,236,240,238,246,225,224,212,182,150,131,182,144,112,125,180,164,149,148,153,134,77,190,230,218,218,217,235,237,239,240,237,249,229,178,196,179,139,87,164,155,111,102,166,154,149,143,139,131,74,171,234,219,218,216,237,237,239,242,238,247,215,124,160,177,102,73,134,128,88,85,139,102,130,169,164,137,83,149,237,220,219,218,237,238,240,242,240,250,214,165,155,168,96,77,111,100,77,72,108,78,107,214,182,146,95,125,240,222,222,220,238,240,241,241,241,251,229,202,149,159,122,86,106,113,79,70,103,77,72,185,188,155,111,98,230,226,224,221,241,241,241,241,244,251,232,191,153,129,111,75,111,125,76,67,89,134,180,188,213,174,126,78,207,232,224,223,241,241,242,243,245,250,205,164,139,114,90,74,88,85,73,85,131,206,215,195,198,179,129,72,187,240,224,224,240,242,245,246,246,248,223,192,163,136,110,107,97,101,129,165,207,221,213,207,172,158,117,69,194,238,225,225,242,245,247,247,246,251,237,204,171,134,108,107,120,142,173,202,229,225,203,189,162,126,98,81,224,231,228,228,244,246,247,248,247,249,239,212,178,143,122,119,125,144,199,225,238,223,192,172,149,117,72,123,244,228,230,228,244,245,247,247,248,247,240,221,189,161,136,132,121,162,221,234,231,211,184,162,142,107,60,187,242,229,229,227,245,247,247,249,249,244,236,219,190,167,145,141,130,176,231,225,217,201,177,151,133,93,81,232,235,231,230,229,246,249,251,252,251,243,224,207,188,170,154,152,137,180,227,215,205,189,169,142,122,71,130,249,230,233,231,229,246,249,250,250,252,248,221,210,197,175,161,166,143,185,214,210,194,169,153,132,108,60,191,246,232,233,232,229,249,250,250,251,253,254,229,208,197,183,172,170,145,186,207,202,189,160,137,118,83,88,241,236,236,233,233,230,248,252,252,251,252,255,242,208,202,193,177,163,142,169,201,189,174,149,122,106,55,163,253,236,236,235,233,231,249,251,252,252,251,255,251,227,209,194,179,166,148,152,183,177,157,132,111,79,80,241,240,239,238,237,234,232,249,249,250,253,254,255,254,238,217,201,185,173,157,150,170,167,143,121,103,51,166,255,237,239,239,237,235,232,249,250,251,251,254,255,255,248,228,198,178,167,162,158,161,159,138,118,79,87,244,243,242,240,239,238,236,232,250,251,253,252,255,255,253,247,229,201,192,190,183,174,155,152,131,108,61,164,255,240,241,240,240,238,236,232
7,207,206,207,207,207,207,207,206,206,205,204,203,202,201,199,199,198,196,195,192,191,190,188,186,184,182,180,178,208,208,208,208,208,208,208,208,207,207,206,206,204,203,202,201,200,199,198,195,193,192,191,189,187,185,182,180,209,209,209,210,211,210,210,210,209,209,209,208,207,206,204,202,202,201,200,197,196,194,193,191,188,187,185,183,210,211,211,211,213,212,212,213,211,211,210,210,208,208,206,204,205,203,202,201,199,197,196,193,191,190,187,185,213,213,213,213,214,214,215,215,214,213,211,211,210,210,208,207,204,199,191,184,186,183,189,196,194,192,189,187,214,215,214,214,214,214,215,215,214,214,214,212,207,196,185,174,170,164,148,145,179,176,163,195,196,194,192,189,216,216,216,216,216,217,217,217,213,205,194,180,167,156,137,142,142,132,129,128,149,144,154,197,198,196,193,190,216,217,217,217,215,206,194,181,174,164,156,148,145,135,122,122,118,109,111,99,95,119,144,154,181,197,195,193,217,218,218,208,183,159,148,149,150,151,148,142,134,117,117,112,108,110,112,106,103,97,92,112,132,192,197,194,219,219,207,185,170,143,131,136,130,126,124,123,126,131,140,130,104,112,116,99,94,83,80,99,114,188,199,196,216,200,185,182,168,141,122,114,112,121,133,146,151,147,137,119,88,91,93,79,79,81,89,112,156,199,199,197,190,179,180,178,168,158,147,147,147,153,156,146,140,131,120,97,79,88,111,134,157,174,189,199,203,202,201,198,175,177,179,175,172,165,148,137,131,131,127,112,106,104,108,120,147,181,205,212,213,211,209,208,206,203,201,199,177,181,178,176,174,155,119,92,97,95,82,69,64,100,185,213,218,219,216,215,213,211,209,208,207,203,201,199,183,182,179,172,155,135,94,73,74,62,54,52,51,53,115,215,219,218,217,216,214,212,210,209,207,204,201,200,182,182,173,153,142,127,102,88,68,55,53,52,51,50,109,210,219,217,216,215,213,210,209,208,206,204,202,201,183,179,162,147,138,134,137,129,84,57,56,56,54,110,200,218,219,216,215,214,212,209,207,206,204,203,183,149,183,171,149,136,131,135,141,121,73,55,49,43,84,203,222,220,220,217,216,215,213,211,209,207,193,161,98,65,170,147,126,123,120,120,118,89,62,49,45,47,84,215,221,221,219,217,216,215,213,204,181,144,102,71,58,49,146,132,127,128,120,108,98,84,73,56,54,55,130,220,221,221,221,218,217,209,162,113,83,65,56,54,54,46,135,135,132,125,106,86,87,98,86,58,56,122,211,222,219,204,168,155,149,119,79,67,54,51,52,53,54,43,134,125,110,93,81,82,94,99,74,59,87,148,161,151,135,98,65,63,57,58,52,56,53,37,44,52,54,42,117,100,91,89,87,86,82,70,67,93,104,97,85,80,76,55,39,51,42,49,44,43,46,30,35,46,52,37,105,100,100,94,83,75,71,77,105,119,102,83,72,64,57,53,32,41,39,38,39,39,38,25,30,42,48,31,92,90,88,82,74,77,96,112,114,97,79,65,58,51,49,44,35,27,37,31,34,35,32,24,29,41,45,27,74,80,85,90,99,109,115,114,100,66,54,55,52,42,44,40,36,20,29,27,29,33,28,23,32,38,43,24,109,114,117,121,116,114,112,101,71,53,40,45,48,37,38,33,33,18,20,27,26,33,25,24,33,37,40,21,117,119,117,120,115,113,105,82,48,43,39,37,44,31,32,26,29,21,16,25,27,33,22,27,33,38,39,18
6,185,186,186,186,187,187,189,189,189,189,189,189,188,187,188,188,186,185,186,186,184,181,181,182,180,178,177,177,187,188,188,188,188,189,190,191,191,191,191,191,190,190,191,190,188,187,185,186,186,183,183,182,181,180,179,178,188,189,191,190,191,191,190,191,193,193,193,193,193,193,194,193,191,190,188,187,187,186,184,182,180,180,180,177,188,190,191,192,192,192,192,192,194,195,195,194,192,193,194,193,192,191,189,189,188,186,185,185,182,183,182,180,191,192,192,194,194,194,194,194,194,194,193,194,196,195,195,195,194,193,192,192,190,189,188,186,185,185,182,181,194,193,194,195,196,196,195,195,194,194,194,195,196,196,195,195,194,194,193,193,192,192,190,188,187,186,184,183,194,194,196,196,195,196,197,197,196,196,196,196,198,197,197,196,195,195,193,194,191,191,190,188,187,186,186,186,196,197,197,197,197,198,199,198,197,197,198,200,200,200,201,200,197,198,195,195,195,195,192,192,188,184,186,186,197,197,198,199,199,199,200,202,201,201,196,194,198,198,197,196,197,196,198,188,192,186,188,184,182,206,194,184,198,198,200,200,202,205,207,208,205,196,178,161,184,195,198,196,200,195,186,187,190,185,190,183,186,215,172,182,202,203,205,205,206,201,195,197,199,196,191,148,135,171,183,183,180,174,168,166,160,161,159,159,153,151,166,192,204,199,199,199,198,191,190,194,194,195,196,155,110,107,105,123,127,135,139,140,150,158,163,165,170,182,195,191,195,191,191,190,186,181,182,180,174,168,156,130,118,115,96,124,182,192,196,199,200,202,204,201,199,203,200,198,195,187,180,175,174,178,177,170,167,174,173,130,107,112,127,121,147,203,210,202,202,201,198,200,195,171,157,157,193,182,172,169,171,171,174,174,177,190,195,145,107,96,115,127,112,120,192,206,203,203,202,200,138,104,102,100,190,181,169,161,158,162,171,176,182,180,168,146,123,117,112,110,121,109,140,212,204,200,211,165,102,112,107,103,192,185,175,166,161,161,163,166,180,186,152,125,128,133,130,118,111,103,147,208,199,204,200,131,104,102,98,100,188,183,177,171,166,166,164,161,167,182,168,124,97,119,142,141,123,99,181,215,207,202,125,100,88,73,66,54,182,182,181,176,169,168,169,168,178,186,156,126,115,109,116,131,137,113,152,171,140,118,91,88,76,61,53,44,170,184,185,184,176,171,170,167,171,180,161,134,129,133,123,110,118,117,108,104,99,88,81,72,65,56,48,47,98,168,190,181,178,177,170,166,155,155,152,140,149,147,136,131,114,87,83,96,97,88,81,71,60,53,46,43,33,70,160,166,152,149,142,141,140,125,115,99,119,134,145,139,112,75,57,81,83,76,76,76,67,53,43,40,36,30,49,146,173,174,181,188,200,198,107,93,96,117,130,109,106,80,56,58,77,72,67,74,76,57,45,39,26,12,83,184,188,188,191,192,192,196,177,152,143,133,101,75,107,76,51,44,59,67,62,67,76,65,46,39,16,15,99,112,107,109,112,112,115,117,122,123,134,128,80,66,103,76,44,44,52,57,58,63,73,69,48,40,19,14,91,111,107,106,106,106,108,106,102,114,126,116,70,60,94,69,42,43,50,51,53,56,65,67,51,39,19,12,107,116,113,114,113,110,110,113,120,112,91,85,73,55,87,63,44,34,46,48,50,53,58,65,57,42,4,30,120,113,114,114,115,114,115,111,100,87,84,72,70,55,80,60,43,37,39,42,45,49,55,62,58,45
7,172,172,172,172,172,172,172,172,171,170,170,168,167,167,165,164,164,162,161,159,157,156,154,153,151,149,147,145,174,173,174,174,173,174,173,174,173,172,172,171,170,169,168,167,166,165,164,161,160,159,158,156,154,152,149,147,174,175,174,175,176,175,176,176,175,175,174,173,172,171,170,168,167,167,165,163,161,160,160,157,154,154,152,150,175,177,176,176,178,177,177,178,177,176,176,175,174,173,171,169,170,168,168,169,167,165,163,159,157,156,153,152,178,178,179,179,179,179,180,180,179,178,175,175,175,177,176,176,173,167,161,152,151,148,158,164,160,158,155,154,179,180,179,179,179,179,179,179,179,180,181,182,176,164,155,140,137,134,113,107,153,146,124,163,162,161,158,156,181,181,181,181,181,182,184,186,183,174,162,146,133,123,100,111,112,102,100,100,124,111,120,174,164,162,159,157,181,182,182,183,184,176,162,147,140,130,120,113,115,108,92,93,87,76,82,66,57,90,119,119,152,165,161,159,182,182,184,177,148,123,114,115,118,123,121,114,104,83,86,80,78,82,83,79,78,69,59,81,97,164,163,160,184,187,174,148,137,111,99,110,100,94,91,89,92,100,114,105,74,86,94,73,70,56,50,71,73,159,166,162,185,167,149,150,138,108,89,80,77,88,101,118,125,120,109,93,59,63,62,42,43,45,53,73,125,170,165,163,156,143,148,146,135,127,118,120,121,127,131,117,112,101,91,64,42,50,76,102,128,147,164,174,174,168,167,164,141,144,147,142,139,136,120,110,101,103,99,83,78,74,70,83,116,154,180,186,185,180,175,172,170,168,167,165,144,149,144,144,145,127,89,59,69,68,53,41,32,71,173,190,190,188,180,178,177,175,174,174,172,169,166,165,151,149,147,142,122,106,61,41,48,33,26,26,26,19,76,188,181,182,182,181,180,177,175,175,173,170,166,164,148,150,142,119,111,97,69,60,39,28,28,26,28,14,66,183,184,181,181,180,178,175,174,173,171,168,170,173,150,148,131,117,108,104,110,108,58,30,33,35,20,73,183,184,183,181,180,179,177,174,172,170,169,175,157,118,152,141,118,105,101,105,115,96,44,29,26,10,54,188,188,184,185,182,181,180,178,175,177,180,169,138,63,29,142,115,92,92,90,90,91,59,33,22,20,20,45,192,183,185,181,180,179,178,184,180,155,115,69,35,30,24,115,99,97,100,93,80,70,55,47,29,32,14,93,192,182,186,192,190,189,187,133,78,49,31,26,28,30,21,104,107,105,101,80,55,57,74,63,32,21,95,199,193,193,181,138,125,123,88,44,37,26,28,28,28,29,17,106,98,82,62,49,53,69,78,47,26,59,130,132,119,106,64,29,30,22,28,25,33,30,10,20,27,29,17,88,68,60,60,61,61,57,39,33,68,79,63,51,47,47,25,12,31,16,27,19,17,24,4,10,22,28,12,78,73,75,70,57,47,40,45,81,98,75,57,47,40,31,32,4,18,15,13,15,15,15,0,6,18,25,5,65,62,59,53,44,46,69,89,88,70,52,38,33,25,23,20,11,1,16,5,10,11,8,0,5,17,22,2,42,49,55,60,71,83,88,87,75,36,27,31,27,16,20,16,14,0,7,3,4,11,4,0,8,14,20,0,83,88,91,96,89,85,84,76,43,28,14,20,25,12,14,9,10,0,0,4,1,11,1,0,9,13,17,0,88,90,87,91,85,84,77,54,19,18,15,10,22,5,8,1,6,0,0,2,3,11,0,3,8,15,16,0
18,85,90,95,100,109,115,122,129,133,134,135,138,143,146,149,151,156,157,158,159,160,161,163,164,165,166,168,171,87,92,95,101,109,117,123,130,133,135,138,137,144,143,147,155,152,154,161,162,161,163,164,165,165,167,169,171,89,93,96,103,110,117,126,128,131,138,132,153,166,119,104,137,170,144,117,155,167,163,165,166,167,169,170,172,88,93,98,105,114,119,122,133,168,127,111,177,159,135,118,161,186,138,100,85,154,168,166,167,170,173,172,174,89,94,97,107,111,120,115,183,190,128,118,189,145,153,158,170,150,127,126,86,94,174,165,168,170,172,174,175,90,95,97,102,126,144,112,191,179,143,136,163,147,144,145,146,118,132,131,120,75,145,173,170,173,174,175,176,91,95,100,101,196,164,119,118,193,151,144,106,136,115,121,109,108,148,137,133,102,90,175,172,173,174,176,178,92,98,90,139,217,174,153,109,166,175,138,89,139,130,89,56,135,159,151,147,129,82,116,182,173,176,178,180,92,98,89,170,188,188,176,130,108,177,141,95,106,165,118,53,94,152,157,167,136,109,75,142,184,175,177,179,92,97,93,171,135,178,169,130,78,130,135,93,71,125,107,54,77,158,181,174,140,114,93,88,179,175,178,179,92,96,100,187,129,140,130,94,70,79,97,79,51,75,57,126,188,176,166,162,138,117,98,85,173,182,180,181,93,92,107,203,161,157,125,78,62,59,79,70,31,40,140,204,184,171,157,136,121,108,91,103,184,179,181,182,94,89,127,201,154,142,123,84,54,49,85,66,22,122,214,200,185,165,146,118,100,97,80,136,187,180,182,183,96,85,141,222,176,156,133,101,68,66,76,65,109,203,205,202,182,153,134,111,94,86,82,170,182,181,183,184,95,87,133,232,191,179,163,135,118,119,109,126,189,207,206,191,166,142,121,103,90,75,109,186,179,183,184,185,95,90,129,233,201,184,160,140,134,138,134,174,205,202,197,174,152,131,113,97,89,74,146,186,181,184,186,186,96,92,123,230,204,184,164,152,151,147,158,187,198,196,175,158,142,122,106,96,86,83,174,182,183,185,186,186,95,95,113,220,207,189,172,165,161,161,172,184,187,183,154,141,128,113,98,94,75,112,185,179,182,186,186,186,94,100,99,199,211,198,188,176,164,162,167,173,167,165,144,128,116,105,95,91,74,160,184,180,181,185,186,187,94,101,97,167,217,207,205,188,166,153,142,151,147,146,136,115,104,97,93,74,107,185,181,182,183,186,187,188,95,100,103,129,213,202,201,191,165,144,133,133,138,140,131,110,99,94,89,66,150,184,180,182,184,185,187,188,95,101,109,109,182,194,176,173,159,139,129,129,131,137,134,115,101,96,76,86,179,179,181,183,186,186,188,189,94,99,110,111,140,195,169,155,142,126,129,133,118,130,131,112,96,94,65,118,185,178,183,184,186,187,188,189,93,99,111,120,121,177,155,142,141,132,149,145,117,122,129,112,94,90,63,135,186,179,183,186,186,188,188,189,92,100,111,120,118,157,159,150,157,144,144,145,120,111,123,112,98,88,57,122,190,179,183,185,186,188,188,189,89,99,110,118,119,143,180,165,162,144,136,142,122,104,115,108,96,91,62,98,187,178,182,184,185,187,188,188,90,99,109,117,123,131,196,181,167,148,133,137,127,105,101,105,97,89,72,72,179,179,182,184,185,186,188,188,90,99,107,117,125,127,193,191,168,147,129,132,131,102,98,105,95,87,77,65,166,182,183,184,186,187,187,188
17,122,122,124,125,127,129,131,131,132,133,134,136,136,136,137,138,139,140,142,141,141,142,143,142,143,143,142,143,120,122,124,125,127,130,131,132,133,134,135,136,136,137,138,139,141,142,143,145,143,146,144,143,144,143,143,144,121,123,125,127,130,131,131,132,133,135,135,138,139,139,139,141,142,143,136,131,141,120,139,145,145,144,145,145,122,124,125,128,131,131,133,134,134,136,137,138,138,140,140,142,141,145,140,101,96,82,110,152,145,145,145,145,123,125,127,129,131,133,134,135,136,137,139,140,140,140,143,144,142,146,158,120,74,64,113,153,145,147,147,146,124,125,127,130,132,133,136,135,137,139,139,139,141,141,142,144,144,144,161,129,87,52,126,152,145,148,147,147,124,126,128,130,132,134,136,136,137,138,139,142,141,144,146,145,147,144,162,142,102,61,140,150,148,148,147,147,124,127,129,131,132,133,136,137,139,139,139,141,144,128,132,151,146,145,165,143,106,84,152,149,150,148,149,148,125,129,130,131,132,135,137,138,139,141,140,140,146,131,95,123,152,151,166,138,105,93,154,149,150,149,150,149,125,128,130,132,133,135,136,138,139,138,138,141,152,137,117,99,125,147,163,138,103,89,153,150,150,150,150,150,126,129,131,131,133,136,138,136,144,147,120,103,140,153,150,146,108,81,130,135,108,91,152,151,152,151,150,149,127,129,130,133,136,137,139,137,155,157,117,92,132,138,160,156,134,82,82,115,101,88,151,151,151,151,151,150,126,130,131,134,136,137,138,144,147,131,142,114,119,98,119,168,151,108,68,90,89,82,150,152,152,151,150,151,128,130,132,134,135,137,137,147,156,113,110,102,72,60,65,170,163,128,75,71,76,75,150,153,153,152,151,151,128,130,132,135,136,138,137,153,143,107,93,104,78,77,75,156,173,141,91,67,75,71,146,155,152,153,153,153,129,131,133,136,137,139,137,155,150,133,119,110,91,108,97,140,181,142,106,69,73,70,139,157,152,154,153,153,130,132,135,136,137,138,140,162,142,119,114,106,102,122,124,157,163,144,116,75,66,68,141,157,153,154,154,154,129,132,134,136,138,139,147,159,127,112,108,107,116,119,168,177,143,134,116,73,62,62,143,158,154,154,154,154,129,132,133,137,140,138,153,162,132,120,109,111,116,146,184,170,145,125,108,74,58,63,147,157,156,155,154,154,130,131,134,137,140,137,158,165,137,125,108,113,123,173,171,162,141,119,102,71,58,74,158,154,155,155,154,154,130,132,136,137,140,136,163,163,140,133,114,115,144,183,167,159,134,109,97,70,54,101,163,153,154,155,155,155,130,132,136,139,141,136,170,163,144,139,128,116,156,179,159,156,136,101,89,68,58,138,158,154,156,155,154,154,130,133,137,139,142,137,172,168,148,148,139,122,155,171,153,149,135,101,83,60,81,161,154,156,156,155,155,155,131,134,137,139,141,137,166,173,152,153,142,132,142,166,149,148,127,99,78,56,121,162,154,155,155,155,155,155,130,134,138,139,142,138,158,176,156,147,138,140,138,157,144,151,132,93,75,59,141,160,155,156,156,155,156,155,131,135,137,138,142,141,152,174,153,145,134,137,141,148,139,153,134,93,72,66,153,158,157,157,157,157,156,156,132,135,136,138,142,140,154,169,151,144,134,134,140,146,136,152,125,93,69,92,164,156,157,157,157,157,156,156,130,134,136,139,143,140,157,170,160,146,138,140,144,145,132,148,112,86,66,128,163,156,157,157,157,156,156,156
3,145,146,146,145,146,146,146,148,146,145,145,144,143,143,143,142,142,140,138,136,135,133,133,131,130,129,128,126,146,146,148,147,148,147,147,148,147,146,147,145,144,144,143,142,136,139,139,137,136,134,132,132,131,129,129,127,148,148,149,148,149,148,148,149,148,148,147,145,145,145,141,156,103,121,143,138,138,136,134,133,131,130,130,128,150,149,149,150,149,150,149,149,149,148,148,148,146,144,149,152,84,123,145,138,137,137,136,135,133,131,131,130,150,151,152,153,151,151,151,151,151,150,150,149,149,144,164,126,82,141,144,140,139,137,137,136,135,133,131,130,153,153,154,154,153,153,153,152,152,152,150,150,148,155,165,95,104,149,143,144,143,141,139,138,136,135,133,131,154,155,155,156,156,155,155,156,155,152,153,153,148,174,150,83,126,153,146,146,144,143,141,139,138,137,135,134,155,156,157,158,157,157,157,156,156,154,155,151,164,168,120,83,145,153,150,148,145,144,143,141,139,138,136,136,158,160,160,160,160,159,158,159,158,157,158,155,171,150,88,109,149,141,147,148,150,146,143,143,141,141,139,137,160,161,162,162,162,161,162,161,161,160,158,157,165,154,122,130,147,141,147,140,135,146,147,143,144,144,142,140,161,162,163,164,163,162,163,162,162,162,160,160,168,173,157,132,133,134,136,149,133,103,143,150,139,140,144,142,163,163,164,164,164,165,164,164,163,163,163,160,184,163,142,145,137,118,113,102,124,110,98,123,127,104,138,146,166,166,165,165,166,167,166,165,165,165,161,171,187,165,148,135,121,108,87,89,70,116,117,94,104,98,142,146,167,167,167,167,167,168,167,166,167,166,168,190,177,138,99,88,116,108,94,88,76,75,104,87,78,137,149,146,169,169,169,169,169,169,168,168,168,166,186,191,144,101,72,57,129,152,109,90,81,79,64,74,106,155,147,147,170,170,171,170,170,170,170,170,167,177,199,170,111,82,68,59,85,169,162,144,104,75,81,80,123,156,149,148,170,171,172,171,172,172,171,173,161,189,195,151,108,86,64,58,53,95,159,181,120,70,91,85,142,156,150,149,173,173,173,173,173,173,173,175,161,182,181,153,108,73,61,56,59,53,79,120,78,89,96,95,154,155,152,151,174,174,174,174,174,173,174,175,165,175,188,162,116,82,62,60,64,73,74,71,72,98,95,104,159,155,153,151,174,176,176,176,175,176,175,177,164,173,194,163,129,95,70,65,75,81,90,101,94,96,94,114,163,155,154,153,175,176,177,177,177,177,176,177,165,170,200,170,133,102,83,67,78,91,106,113,104,93,85,126,165,156,156,155,176,177,178,178,177,178,177,179,166,166,202,172,138,113,98,71,78,103,116,115,107,90,98,155,161,157,157,156,177,176,178,178,179,179,179,181,168,161,195,169,143,117,101,77,80,105,110,106,100,92,148,168,161,160,158,156,178,178,180,180,179,179,179,181,170,160,193,173,148,118,98,83,82,99,104,101,90,110,167,164,162,161,160,158,179,180,180,181,182,181,181,182,174,159,187,173,147,117,99,91,86,96,101,98,91,145,169,164,163,163,160,159,179,180,181,181,181,181,181,183,176,167,186,165,142,118,105,98,87,93,97,94,132,171,167,166,164,162,161,159,180,181,181,181,181,181,181,182,177,166,190,165,145,124,110,99,92,94,96,129,173,169,168,166,165,163,161,159,180,181,181,181,181,182,182,183,175,164,184,159,142,124,104,97,97,94,114,171,173,170,169,168,167,165,162,160
18,152,154,155,158,159,161,161,161,163,163,163,164,164,162,161,162,161,161,160,159,160,159,158,159,156,156,155,154,154,156,158,159,160,162,163,163,165,165,165,167,167,165,164,164,163,162,161,162,163,161,160,158,159,159,158,157,158,158,160,161,163,164,165,165,165,166,166,167,166,166,166,165,165,165,163,163,163,162,162,161,161,160,159,158,159,160,162,164,165,165,167,166,167,167,166,167,167,167,167,167,166,167,165,165,164,165,166,161,162,160,160,159,159,160,163,164,166,167,167,167,167,168,167,169,168,168,169,169,168,167,168,166,165,163,159,165,163,163,161,161,160,161,164,166,166,167,168,168,169,170,169,170,171,170,171,170,169,167,168,163,187,147,112,171,164,164,163,162,162,165,165,167,167,168,170,171,171,171,172,171,171,171,171,171,174,174,168,171,205,149,70,161,168,166,164,164,164,166,167,167,169,171,172,174,173,174,173,173,174,172,177,157,127,152,142,132,203,171,81,114,178,164,167,166,165,166,168,170,171,173,174,174,174,175,175,175,175,175,193,177,127,102,112,132,203,182,115,60,148,175,165,167,166,168,170,172,172,174,174,176,177,178,178,175,180,165,125,153,164,119,85,114,180,180,131,97,81,154,173,167,167,168,171,173,173,175,176,178,178,178,176,188,186,161,122,72,140,134,88,65,100,155,143,117,87,80,176,169,168,171,172,174,175,176,178,178,180,175,196,205,201,168,139,91,88,134,85,54,46,110,165,120,99,61,165,174,170,172,173,174,177,178,178,179,179,183,203,185,209,173,143,103,58,85,72,50,33,133,174,142,104,67,168,173,172,173,174,177,179,179,179,182,178,207,205,163,187,162,150,102,59,60,63,50,34,109,172,155,108,63,164,176,172,173,175,178,179,180,181,180,195,204,187,168,177,134,114,83,56,77,56,35,36,111,164,159,111,62,165,177,173,175,177,178,180,182,180,185,214,193,156,133,163,92,78,68,71,97,53,72,94,126,165,145,103,59,164,181,174,177,177,179,181,182,182,187,220,205,178,132,110,106,99,33,70,104,131,159,162,124,129,124,101,54,155,182,175,177,179,181,183,185,182,195,220,208,189,144,100,114,90,10,119,186,186,163,148,133,92,107,103,55,142,186,176,179,180,182,184,187,183,207,219,205,170,136,123,112,74,92,206,194,181,159,126,127,98,88,95,51,154,187,179,180,182,183,185,186,186,212,217,196,157,147,121,90,95,186,197,187,171,153,127,114,103,79,69,74,183,180,178,180,181,184,186,185,190,214,216,191,159,153,121,93,155,202,191,179,166,149,123,107,96,78,49,137,190,178,180,180,181,184,185,186,193,214,212,191,164,170,117,138,168,192,187,169,161,145,110,100,87,63,62,183,183,182,181,181,183,185,187,187,194,211,207,190,179,163,123,125,167,172,177,158,151,129,103,89,81,44,118,196,182,184,181,181,183,186,187,186,193,210,205,194,185,147,113,111,154,160,158,152,140,118,96,80,61,58,180,187,185,185,181,182,184,186,188,187,197,206,201,198,170,123,95,125,140,154,150,139,127,103,83,67,36,137,196,184,187,186,182,184,186,185,188,188,202,199,189,182,150,121,116,135,141,150,146,129,113,91,73,40,99,195,184,186,188,186,183,184,187,188,188,188,210,208,206,192,180,162,144,126,140,150,136,112,94,82,47,77,191,188,187,188,188,186,181,186,181,173,189,193,216,208,207,195,177,159,143,117,128,143,120,98,86,62,59,176,194,189,188,188,188,188
10,63,65,67,70,75,78,84,95,104,111,116,119,122,126,129,132,135,138,139,141,143,143,144,146,146,146,147,148,64,66,68,71,75,79,85,97,106,113,119,121,123,127,130,133,136,138,138,143,144,144,145,147,148,147,147,148,63,66,69,72,76,79,87,99,108,115,120,122,124,129,131,135,136,144,144,125,145,146,146,148,149,148,148,148,63,67,69,73,77,80,89,101,109,117,122,123,127,130,134,137,135,166,154,89,135,150,149,150,151,151,150,150,64,68,70,74,78,81,91,103,111,118,123,125,129,132,135,138,139,158,161,102,107,155,152,152,153,153,153,153,65,69,72,74,78,82,92,104,112,121,125,128,132,135,138,142,143,151,170,115,84,149,156,156,156,156,156,156,66,70,72,75,79,82,94,106,115,122,127,128,133,137,140,143,147,148,172,134,91,131,159,158,158,158,158,158,66,70,73,77,80,83,95,107,116,123,128,129,134,139,143,146,149,150,167,150,102,109,164,160,160,161,161,160,67,71,74,78,80,84,97,110,118,125,130,130,135,139,144,147,163,152,104,134,114,90,161,164,164,164,164,164,68,71,74,77,80,86,99,111,120,127,130,133,138,143,146,148,176,124,81,107,156,93,150,168,167,167,166,166,69,72,75,78,81,87,101,112,121,129,131,134,140,143,149,150,174,118,91,80,170,102,131,171,170,170,169,168,69,72,75,79,82,89,102,113,122,130,132,136,141,151,144,162,188,140,127,88,123,114,111,174,171,172,171,171,70,73,75,80,83,90,104,115,125,132,133,135,154,194,161,177,162,157,150,104,79,109,96,171,173,173,173,174,72,73,76,80,83,90,105,116,126,133,139,149,158,216,185,186,133,120,154,125,80,84,81,158,176,175,175,174,72,74,77,80,83,91,106,117,127,128,183,201,150,155,189,195,145,80,138,150,107,75,67,139,180,176,176,176,73,74,77,80,84,92,107,119,129,130,192,216,162,97,140,193,137,79,89,151,127,88,62,121,182,178,178,179,72,74,77,81,85,94,109,120,131,136,166,145,169,154,101,136,96,57,62,129,135,105,73,107,182,179,179,180,73,74,78,81,85,95,109,121,132,137,172,127,145,163,89,102,108,54,95,138,137,123,88,95,181,180,180,181,73,75,78,81,85,96,110,123,134,136,185,166,121,104,89,114,123,117,170,163,140,131,98,91,176,182,181,181,74,76,78,81,85,97,112,125,135,137,185,167,141,123,112,121,134,191,193,156,143,126,100,96,176,184,182,182,73,76,79,82,86,99,112,126,137,138,205,196,166,132,128,144,213,218,178,141,126,115,101,105,180,184,184,184,74,76,80,81,86,100,113,125,137,138,206,209,173,144,154,173,235,204,168,141,115,104,98,119,187,185,185,186,75,76,79,82,86,100,114,127,139,137,212,215,172,168,165,186,228,193,158,136,113,98,94,138,189,185,186,186,75,76,79,82,86,101,116,128,139,139,203,206,180,184,170,208,213,178,145,124,108,99,93,151,190,187,187,187,75,77,80,82,87,101,116,129,140,139,187,204,200,193,188,213,194,157,132,113,102,99,97,171,189,187,188,188,75,77,80,82,88,102,116,129,140,140,169,216,212,191,175,188,174,142,120,107,101,93,113,187,189,189,189,190,74,77,81,81,88,104,118,130,140,144,151,206,200,180,161,163,159,145,125,112,101,86,136,192,190,190,190,193,74,77,81,82,90,105,119,132,140,145,145,181,179,167,156,160,156,158,137,111,97,81,152,193,190,191,192,194
18,195,196,198,198,198,199,200,200,200,200,199,199,197,196,196,195,193,194,193,192,190,188,189,186,184,183,182,180,196,198,199,198,200,202,202,203,202,204,202,200,198,197,196,196,196,196,195,193,192,191,189,188,185,185,183,182,198,199,200,200,201,204,204,204,204,204,204,203,202,204,206,201,199,202,203,202,193,192,193,190,187,185,183,181,199,200,201,202,205,205,205,206,207,206,205,204,206,190,161,191,206,172,139,161,203,195,182,191,193,186,185,184,199,202,205,205,206,206,207,208,208,208,210,211,210,169,113,104,165,157,113,72,159,163,119,110,175,193,187,188,201,202,206,207,206,208,210,209,210,202,165,168,205,175,138,98,108,197,124,98,75,127,120,73,96,201,188,189,203,205,206,209,208,209,210,208,214,203,153,128,135,191,148,114,90,182,134,113,104,99,113,95,56,172,196,187,206,208,207,210,210,211,211,212,216,210,183,163,118,142,173,119,85,126,152,130,122,112,133,114,54,162,200,189,207,208,209,210,211,213,215,214,214,192,201,163,142,94,152,130,96,92,156,143,128,127,125,106,54,168,201,192,207,208,209,210,211,214,215,215,224,163,160,165,127,64,118,139,95,73,136,127,122,121,122,108,52,153,206,193,208,208,210,212,213,215,215,219,214,136,102,166,94,51,96,109,71,56,114,82,101,160,151,116,60,132,210,194,207,210,212,213,215,216,215,222,209,162,123,152,95,57,83,84,59,47,84,59,74,187,160,127,71,108,212,195,210,212,213,214,216,217,215,223,217,191,144,133,117,69,80,97,66,44,83,63,47,155,171,139,89,80,208,197,212,213,214,215,216,217,216,223,217,177,139,108,93,54,82,107,62,44,73,114,163,162,191,155,101,59,191,202,212,213,216,217,217,218,217,224,199,153,126,102,75,57,61,68,53,62,108,181,191,173,167,151,100,51,175,208,214,215,217,217,217,220,220,223,213,184,152,121,91,86,79,77,104,141,182,196,185,178,146,124,87,50,183,206,214,215,216,218,219,222,221,223,219,194,161,123,91,86,95,116,148,178,204,203,178,157,134,100,64,75,209,202,215,215,216,218,221,223,223,223,221,200,169,134,109,99,99,113,171,198,211,197,165,144,123,91,40,128,217,200,217,217,218,220,222,222,224,224,219,205,176,147,122,111,103,127,194,205,204,186,156,133,114,78,46,187,211,203,216,219,220,220,223,223,225,222,214,201,174,149,131,120,112,139,205,198,190,176,151,123,105,59,81,217,206,206,216,220,220,221,222,223,225,222,205,190,176,154,137,135,119,147,198,192,179,157,141,117,94,41,135,222,205,206,217,220,221,222,222,224,225,226,207,191,181,160,146,148,125,155,188,187,172,142,126,105,77,44,190,213,207,206,219,220,222,225,226,227,227,230,218,188,180,169,155,144,121,149,183,175,163,137,110,93,49,91,223,207,209,208,220,221,222,225,226,226,228,230,225,198,187,177,161,142,120,131,170,162,145,120,95,77,35,175,221,211,210,208,220,222,224,226,226,227,228,230,229,213,194,179,166,152,135,128,150,151,131,107,88,45,86,226,212,213,211,210,220,221,224,227,226,229,228,228,227,222,205,184,163,148,138,129,140,143,121,99,73,33,177,224,214,213,211,210,223,223,224,225,227,229,228,228,227,225,210,179,162,158,155,148,137,134,113,93,48,94,228,213,215,214,213,211,224,225,225,226,227,228,229,231,225,223,209,185,178,175,158,147,129,127,105,79,43,166,228,216,216,215,213,212
4,180,180,180,180,180,179,179,178,177,177,177,175,175,174,173,172,169,168,167,167,167,166,165,165,163,160,159,158,181,181,181,182,181,180,180,180,179,178,177,177,176,172,162,160,170,171,169,168,168,167,165,166,163,160,160,158,183,183,183,182,182,182,181,181,178,163,154,162,170,164,138,114,132,170,169,166,168,168,167,165,164,163,161,160,185,185,184,182,183,184,182,183,181,169,159,141,132,134,144,128,104,132,137,120,126,161,168,167,166,164,163,161,185,185,184,184,184,184,182,178,177,170,164,157,136,104,102,131,120,94,88,98,80,124,171,168,166,165,164,162,187,186,185,186,186,184,176,167,163,148,115,111,136,97,68,108,115,88,65,91,84,90,165,169,166,165,163,162,187,187,187,187,187,186,181,178,164,149,109,78,116,98,66,88,99,74,68,102,94,76,154,169,166,166,164,163,188,188,188,188,187,186,165,143,128,150,120,82,101,117,98,89,91,65,76,105,94,76,153,170,167,166,164,163,189,189,188,189,188,189,171,122,80,116,143,111,106,129,140,123,103,94,94,105,110,88,152,171,169,166,165,164,189,190,189,190,189,189,168,121,67,59,135,121,96,110,129,133,106,106,105,104,112,82,122,173,170,168,166,166,191,191,191,191,190,186,152,112,90,79,80,89,77,72,79,108,106,102,100,98,95,82,89,168,171,169,167,167,192,192,192,192,189,185,163,147,122,93,66,62,72,68,68,74,93,97,93,90,97,94,73,150,173,170,168,166,192,193,192,192,191,187,169,151,119,87,64,64,70,76,86,77,66,64,90,113,121,105,74,120,174,170,167,166,193,193,194,193,192,188,175,144,108,80,64,65,75,92,95,93,89,96,114,134,131,114,89,92,170,170,169,167,193,194,195,194,192,189,169,138,109,79,66,72,84,98,108,109,126,145,142,128,148,137,106,76,156,172,171,169,194,194,195,195,192,190,176,153,121,90,72,75,86,109,122,127,140,156,161,148,142,136,105,67,143,174,171,169,195,195,195,195,194,188,176,156,129,96,72,74,92,114,129,142,150,161,160,149,135,113,90,65,148,174,171,169,195,195,195,196,195,186,175,164,140,109,83,76,85,114,137,151,162,166,157,138,123,99,70,82,168,174,172,170,195,195,195,196,195,183,170,168,148,121,97,80,81,118,148,161,170,167,151,129,112,88,58,126,175,174,172,170,195,195,195,196,194,181,166,165,150,126,105,87,85,119,156,164,168,159,140,120,101,76,73,165,176,174,173,172,195,196,197,197,196,181,163,158,150,133,111,94,93,123,160,160,156,147,128,109,90,64,117,179,177,175,172,171,196,196,198,198,197,182,161,157,155,140,116,105,100,128,156,154,148,134,115,98,78,69,160,180,177,175,173,172,196,197,198,198,197,188,165,160,158,144,123,112,101,129,149,148,141,122,101,85,60,108,180,180,179,175,174,173,197,198,198,198,198,195,173,165,164,149,130,113,100,122,144,140,129,109,88,69,69,162,182,180,179,176,175,173,198,199,198,198,198,196,178,174,166,148,134,118,101,111,130,125,110,91,73,57,131,184,182,180,179,177,175,173,199,199,199,199,199,196,185,177,164,149,136,121,107,105,115,109,93,76,55,99,178,184,182,180,178,178,175,174,199,199,199,199,200,196,186,176,161,147,135,123,114,105,104,100,84,63,64,163,185,183,181,180,178,177,176,174,199,199,199,199,200,192,184,173,162,152,145,136,127,111,100,95,76,55,108,185,186,185,182,180,179,177,175,174
4,158,162,165,169,172,175,177,179,181,184,186,187,188,189,190,190,191,190,190,190,189,189,188,187,187,187,186,185,159,163,166,170,173,176,178,180,182,185,187,188,189,191,192,192,191,191,192,191,191,191,190,189,188,188,187,187,160,164,168,172,174,178,180,182,184,187,188,188,188,189,194,199,178,159,179,195,194,193,191,191,190,190,189,188,161,165,169,173,175,178,180,184,187,190,190,198,182,158,183,217,181,136,132,196,195,194,194,193,192,192,191,189,162,166,171,174,178,180,182,185,187,187,199,225,195,155,146,216,185,139,112,172,179,190,195,194,193,193,192,191,164,167,172,176,179,181,183,186,197,195,187,214,207,165,131,204,187,134,82,120,145,141,188,196,195,194,194,193,165,169,173,177,181,183,184,194,222,217,172,160,212,176,127,188,185,128,74,118,146,112,137,197,196,196,195,194,165,170,173,177,181,185,185,203,220,210,158,136,200,163,114,157,163,113,74,127,150,113,101,193,198,197,196,195,166,170,174,179,181,184,187,202,205,200,155,126,180,149,105,120,139,105,87,154,157,110,96,193,199,196,196,196,167,171,175,180,182,186,187,202,201,184,159,133,165,145,106,90,119,90,112,178,148,94,99,197,200,197,196,197,168,172,177,181,184,188,188,205,215,188,165,143,145,171,133,112,121,98,119,155,126,79,102,200,202,201,199,198,169,173,178,182,184,187,189,210,225,198,158,111,114,167,149,164,148,150,159,172,154,102,110,202,202,202,200,199,170,174,178,182,184,188,190,217,221,184,147,111,92,99,114,163,154,173,188,196,174,117,118,203,203,203,201,200,170,174,179,183,186,188,191,222,208,165,132,106,89,85,89,125,149,164,175,178,159,118,105,194,204,204,201,201,170,175,179,183,187,190,194,227,212,174,140,108,94,94,105,115,125,139,146,151,151,128,94,171,206,203,202,201,171,176,180,184,186,190,199,228,210,171,132,109,99,96,109,131,127,155,167,168,166,140,99,134,207,204,204,202,172,177,181,185,188,191,202,227,207,167,130,109,104,99,115,139,153,196,200,204,193,154,110,95,192,207,206,205,173,178,182,186,190,192,203,225,204,167,137,119,111,107,118,141,186,212,218,210,204,165,116,82,169,210,207,206,173,179,182,185,189,192,203,219,200,170,143,128,117,113,120,170,214,219,217,194,185,151,111,85,173,209,206,206,172,177,181,183,188,191,201,216,198,173,145,125,113,121,144,209,226,220,202,180,156,127,93,111,198,207,206,206,171,176,181,183,188,191,198,218,205,170,137,126,119,137,173,224,225,209,182,158,130,101,83,164,208,206,205,206,172,177,181,185,189,193,196,215,207,179,159,153,129,144,193,223,214,193,165,139,111,83,117,203,208,207,206,206,173,177,182,186,189,193,195,213,210,187,165,161,134,136,204,213,197,172,146,120,93,82,174,210,209,208,206,206,173,178,182,185,189,193,192,214,216,192,170,160,133,139,199,197,174,149,122,98,75,122,207,210,209,209,207,207,173,179,183,185,190,192,193,226,221,195,169,148,120,139,183,176,148,123,99,81,82,181,211,209,208,209,208,206,173,179,183,186,190,189,209,230,215,186,160,128,113,143,161,137,108,94,80,74,147,208,210,209,208,208,207,207,167,172,176,180,182,188,226,227,213,191,160,132,127,144,136,103,89,86,74,124,196,204,203,203,203,203,202,203,133,136,136,136,134,178,228,220,211,190,157,140,136,136,120,95,91,89,78,121,141,142,141,140,141,142,143,145
21,149,154,158,158,161,164,167,170,171,174,175,176,177,178,179,179,179,182,181,179,180,178,178,177,176,176,175,175,149,154,158,160,162,165,168,170,173,175,175,176,178,180,181,181,182,161,176,182,180,179,180,179,178,177,176,176,150,155,159,160,163,166,169,171,174,177,177,178,180,182,181,186,195,124,145,188,179,181,181,180,178,177,178,178,150,156,159,160,163,167,170,172,174,177,178,179,181,182,181,190,193,126,145,191,182,182,182,180,180,180,179,179,152,157,160,160,165,168,171,174,174,176,178,180,182,183,181,193,188,130,146,191,183,183,184,172,144,173,182,179,153,157,160,162,166,170,172,176,176,177,180,181,182,183,182,196,188,131,148,193,185,185,182,161,117,164,186,180,153,158,161,163,166,170,173,176,177,180,181,182,184,185,184,197,188,137,149,193,185,185,180,155,122,179,183,183,153,158,162,163,166,170,173,176,179,181,182,183,185,187,184,197,186,138,144,194,185,184,176,145,132,188,183,183,153,159,163,164,167,170,175,177,180,181,183,184,186,187,185,199,186,141,136,194,186,184,175,135,153,191,184,184,154,159,162,164,169,172,176,179,181,182,184,185,187,188,184,206,193,139,139,196,185,179,168,125,172,189,185,185,155,161,164,165,170,173,175,178,181,182,184,186,186,189,187,208,185,133,148,196,180,179,150,127,187,187,186,185,155,162,165,166,170,174,176,179,181,182,184,187,188,181,189,201,167,123,147,196,182,181,131,148,195,186,187,187,155,162,166,166,170,175,176,179,182,184,185,194,177,149,156,173,140,113,148,193,187,169,121,174,194,188,188,188,156,163,166,167,170,174,177,181,184,185,186,193,175,144,133,117,115,119,157,182,180,146,128,193,191,189,189,189,156,163,166,167,172,175,178,181,183,184,190,191,185,178,162,133,103,125,150,161,159,123,150,199,190,192,191,190,157,164,166,168,173,176,178,182,185,184,196,207,195,213,186,150,110,110,125,134,138,115,175,198,192,193,192,191,158,165,167,168,173,177,179,183,184,188,190,182,194,201,175,134,115,108,114,123,122,123,193,195,193,193,193,192,159,164,166,168,173,176,181,183,184,196,183,155,189,161,167,145,124,115,107,114,111,135,200,194,194,194,193,193,158,164,166,169,173,177,181,184,185,196,200,173,149,115,160,165,135,117,113,110,107,138,202,195,195,194,193,193,159,165,167,169,174,178,181,185,185,198,190,151,134,122,139,176,148,128,117,114,106,131,203,196,196,196,194,194,159,165,166,169,174,178,181,185,185,204,188,164,168,144,165,197,157,148,126,115,109,134,202,198,197,196,195,195,160,165,166,169,174,178,182,186,186,209,192,181,162,155,215,203,161,154,132,119,112,139,203,198,197,198,197,195,160,165,167,170,175,178,183,186,187,207,207,186,155,187,219,188,157,146,136,124,115,143,204,198,199,199,198,197,160,164,167,170,174,178,182,186,187,208,212,175,164,192,211,182,162,141,136,127,115,157,205,198,199,198,198,196,159,163,166,168,172,178,181,183,184,205,194,170,175,185,210,182,173,149,125,126,114,165,204,197,199,198,196,196,159,163,165,168,173,178,182,184,184,199,181,186,181,177,210,181,163,150,128,125,118,172,205,198,199,198,197,196,159,164,165,168,174,179,182,185,187,192,187,206,180,182,202,172,151,138,128,124,120,181,204,199,199,198,198,197,159,164,165,168,173,178,182,185,187,189,193,197,172,168,189,164,141,128,125,120,120,189,202,199,199,199,198,198
12,168,172,175,176,180,182,183,184,185,186,186,187,189,191,191,190,190,190,190,190,190,190,189,188,187,187,187,186,170,173,176,177,181,182,184,185,185,186,187,189,190,191,191,191,192,191,191,191,190,190,190,189,189,188,188,186,171,174,177,179,180,182,184,185,187,188,190,190,191,191,188,191,194,193,191,192,191,191,191,190,190,188,189,189,172,174,177,180,182,183,184,187,188,189,189,191,189,187,210,190,169,183,195,192,193,191,192,191,191,190,190,189,173,176,179,181,182,184,186,188,190,187,202,223,205,169,206,215,162,141,194,192,193,194,191,192,192,190,190,190,173,177,179,182,183,185,188,190,192,187,225,244,221,184,150,203,189,133,177,209,176,177,195,193,192,191,191,190,174,177,179,182,184,186,189,190,192,187,223,228,230,206,182,152,181,161,155,218,172,136,174,197,192,192,192,191,175,178,180,183,185,187,189,191,190,186,219,200,188,211,184,124,164,177,124,164,177,127,139,198,193,192,192,192,175,178,182,184,186,187,190,186,199,218,183,166,177,193,180,161,177,149,107,129,156,127,126,195,195,193,192,193,175,179,182,184,187,189,187,199,242,216,167,130,156,200,202,201,186,157,138,180,143,122,128,196,195,194,193,194,176,180,183,184,186,189,185,232,232,204,175,134,108,178,191,184,197,206,193,186,138,114,137,202,195,195,195,195,176,179,183,185,188,186,207,226,213,217,183,141,91,120,146,172,196,224,212,180,134,101,160,203,195,196,196,195,178,180,184,185,189,184,228,218,207,220,189,153,102,102,103,125,189,210,217,196,168,123,182,202,196,196,196,195,177,181,183,187,185,206,228,208,192,226,208,169,108,109,110,154,211,203,197,176,178,149,155,204,196,197,197,196,176,180,184,186,182,230,232,208,170,188,223,180,125,102,172,221,213,199,192,162,159,148,139,201,197,197,197,197,177,181,182,184,183,235,234,207,171,151,190,215,152,164,235,211,204,194,183,160,144,130,154,203,197,197,196,196,178,181,184,185,189,243,236,207,193,192,160,168,176,234,235,213,201,195,173,157,135,122,174,204,198,198,197,197,178,182,185,185,191,243,233,215,214,205,180,178,226,238,235,218,190,181,163,154,131,126,192,202,199,199,197,197,178,182,185,184,190,239,235,226,219,207,191,187,227,236,226,209,183,166,159,149,125,142,203,200,200,199,198,198,177,181,183,186,188,234,240,231,218,204,193,187,222,230,215,195,171,161,161,140,119,174,206,200,200,201,198,196,176,179,182,187,182,219,238,225,215,207,198,194,214,218,201,180,166,164,159,128,136,201,201,200,199,198,197,196,178,182,185,189,186,207,232,215,208,204,198,194,208,213,194,174,163,160,147,124,182,207,202,203,202,201,201,201,157,159,160,162,156,184,230,202,201,201,193,181,197,213,192,167,154,149,134,128,160,160,158,158,157,157,157,157,126,124,124,126,116,154,232,197,201,203,192,179,190,207,178,149,141,138,128,121,117,118,117,116,116,116,115,116,133,133,132,134,126,156,236,202,210,207,193,180,185,203,166,142,135,131,127,128,126,126,125,124,124,123,123,123,133,132,132,135,126,156,240,214,221,214,198,181,176,199,165,144,129,126,127,128,128,125,124,124,124,123,123,123,133,132,132,135,128,151,236,222,228,214,197,177,169,193,166,142,127,124,127,127,127,126,125,125,125,125,124,121,132,133,134,134,130,142,229,223,223,204,190,178,166,184,162,137,126,124,127,127,126,125,125,125,126,124,121,129
1,159,162,164,166,169,172,174,175,175,176,177,178,178,178,178,177,175,174,178,174,173,173,172,169,169,169,167,165,161,164,167,168,171,174,175,176,178,179,179,178,178,179,177,178,183,180,164,176,174,174,174,171,170,169,168,166,163,167,170,171,173,176,178,179,180,180,180,181,181,179,187,172,188,192,121,166,174,176,174,173,172,170,169,169,165,168,172,174,175,178,181,181,182,182,182,182,183,181,210,159,133,186,115,134,149,155,178,174,174,173,172,170,167,172,174,176,177,180,182,183,185,185,186,185,182,193,216,148,110,176,112,133,150,121,182,176,176,175,174,172,169,173,175,178,180,182,184,186,187,187,185,198,192,145,186,135,124,192,119,133,152,114,178,179,178,177,175,174,171,174,178,180,182,184,186,188,189,190,187,215,177,105,155,135,130,192,125,119,153,115,177,183,179,178,176,174,173,177,180,182,184,187,189,189,192,191,192,217,157,105,157,128,118,168,114,137,168,121,171,186,181,181,179,177,175,179,181,183,186,188,190,192,194,191,202,218,154,105,145,114,132,162,107,142,165,117,167,190,184,183,181,180,176,180,182,185,188,189,192,194,196,191,211,208,145,115,151,112,152,173,112,134,157,113,173,190,186,185,183,182,178,182,184,186,190,191,193,195,196,192,214,198,135,126,170,118,136,162,108,155,164,116,175,192,188,187,184,182,179,183,185,187,192,193,194,196,199,195,222,202,157,115,145,96,107,127,99,175,162,118,178,193,190,188,186,185,180,184,187,189,192,193,195,197,201,198,223,187,142,102,107,106,110,110,113,159,137,113,189,193,191,190,188,187,182,187,189,191,193,195,198,200,202,203,216,186,165,159,127,147,116,151,163,124,111,125,200,191,192,191,189,187,183,188,191,193,195,198,200,202,202,210,233,219,174,192,188,178,172,188,153,105,102,153,203,192,192,192,190,188,184,188,193,195,197,200,202,204,200,225,243,186,145,154,184,192,187,172,156,132,86,162,204,193,194,193,191,189,185,190,194,196,200,202,204,206,202,236,221,156,144,112,113,152,141,172,189,149,91,165,205,196,195,194,193,190,188,192,195,199,202,203,205,207,206,241,226,186,143,132,123,108,159,161,210,171,106,150,208,196,197,196,193,191,190,193,197,200,203,206,208,208,212,244,224,194,139,143,115,168,226,174,205,182,127,107,199,201,198,198,195,193,190,195,199,202,205,208,210,211,215,240,226,191,134,147,128,217,228,210,176,154,140,105,192,205,199,199,197,194,191,196,200,203,206,208,211,211,218,240,233,184,141,144,160,239,230,199,175,140,117,115,206,204,202,200,198,195,193,198,201,204,207,210,213,211,220,242,223,174,160,130,192,240,220,196,168,152,98,133,215,204,204,201,200,198,194,199,203,206,208,211,214,213,220,239,213,191,169,139,218,234,212,188,164,138,93,177,214,205,206,203,200,200,195,199,204,207,210,212,213,221,228,230,213,209,173,159,224,225,203,181,153,111,118,214,208,208,206,204,202,200,196,200,205,208,211,212,221,184,176,236,214,215,173,149,204,203,181,160,135,91,179,219,210,209,207,206,204,201,198,202,206,211,212,214,220,116,88,178,211,207,141,132,162,166,153,135,92,128,223,211,212,211,209,207,205,204,198,203,206,210,211,222,182,97,100,90,120,133,113,130,138,138,117,95,100,207,217,213,213,212,210,208,206,204,196,201,206,210,211,221,139,99,97,95,90,94,98,107,105,105,80,56,160,227,212,214,213,213,211,208,206,204
0,191,192,193,193,194,195,196,195,195,195,194,194,194,195,195,195,195,195,195,195,195,195,196,195,194,195,195,194,193,194,194,194,194,196,196,196,196,195,195,195,196,196,196,194,191,193,196,196,196,197,197,196,196,196,196,196,194,195,196,196,196,196,197,197,197,197,197,196,193,193,200,190,168,169,184,185,186,195,197,193,194,196,196,197,195,196,196,198,199,198,197,198,198,199,202,197,177,171,194,187,159,141,137,148,152,170,182,166,181,197,197,197,196,196,197,198,199,199,198,199,197,200,214,204,173,153,176,189,168,143,110,130,138,136,155,142,166,198,199,199,196,197,198,198,199,199,201,203,188,181,209,207,180,157,171,199,177,151,116,141,145,127,135,135,157,199,201,200,197,198,199,199,200,200,207,215,187,161,184,210,188,162,166,207,188,157,123,152,149,119,117,130,142,194,201,201,198,199,200,200,201,203,213,217,194,167,169,208,195,161,157,206,191,155,119,150,145,109,106,129,119,176,202,202,199,200,200,201,202,210,209,210,201,176,157,195,196,157,143,195,187,145,104,127,130,99,99,131,106,145,199,203,200,201,201,201,205,209,193,200,206,179,147,177,193,152,125,170,174,133,93,106,115,91,100,136,108,129,195,205,201,202,202,202,209,206,181,185,199,175,139,154,181,145,110,141,157,125,91,95,105,87,113,148,119,131,196,206,201,202,202,203,210,201,177,170,182,162,127,131,163,136,99,116,145,121,89,96,107,99,142,163,128,135,198,208,199,200,201,205,211,197,169,150,163,153,119,114,151,132,90,99,140,120,95,115,122,117,163,169,131,141,199,207,199,200,201,205,218,206,173,140,140,146,114,105,146,134,90,96,143,133,135,160,149,131,161,167,132,146,200,207,200,201,201,206,220,210,180,144,121,130,121,107,148,146,106,112,155,164,172,175,158,136,138,149,124,147,202,207,202,202,203,208,222,215,190,159,130,123,128,122,153,163,152,167,184,185,179,167,149,131,119,116,106,142,202,207,202,203,203,209,223,220,199,174,155,144,141,150,169,183,192,198,199,191,177,161,140,122,110,98,93,139,202,208,202,202,203,208,221,221,206,188,174,162,154,157,174,189,200,202,200,191,174,156,136,116,103,93,96,155,206,209,202,202,203,207,217,219,213,200,188,172,161,160,171,188,199,200,196,187,169,151,132,112,97,95,128,187,210,210,198,200,200,200,211,219,219,210,194,177,164,162,172,190,200,199,191,180,164,146,126,106,94,119,178,206,210,210,162,164,167,168,192,217,221,213,196,180,167,162,172,192,199,194,183,173,158,138,117,100,102,160,199,205,206,206,110,112,114,114,154,209,215,208,196,183,171,161,170,189,191,181,168,158,144,126,108,96,109,149,163,165,168,172,103,103,103,101,131,200,206,199,196,187,174,161,167,185,184,169,150,136,125,113,101,97,102,109,113,121,140,159,103,104,104,102,124,192,198,194,196,188,174,161,164,181,179,158,131,113,105,100,99,103,107,116,139,169,193,200,102,103,103,104,121,188,197,194,196,186,173,163,161,174,171,145,113,97,93,97,107,124,148,178,203,212,209,199,102,102,102,103,119,188,204,198,195,182,171,164,157,162,159,131,101,90,91,106,137,183,213,226,224,220,213,199,103,102,102,103,116,187,210,204,195,181,171,167,153,153,150,123,94,87,104,150,198,225,233,229,222,224,225,216,103,103,103,103,115,182,209,207,195,180,171,167,151,147,146,119,90,86,138,200,223,230,231,222,217,223,230,230
23,140,141,141,139,140,141,141,140,139,138,138,136,136,135,134,135,134,133,131,130,129,128,125,124,124,119,33,15,143,142,143,142,142,143,142,142,141,140,140,139,138,137,136,136,135,134,132,131,131,129,128,125,128,114,21,12,143,143,143,144,144,144,144,144,144,143,142,142,141,139,139,138,136,135,135,133,132,131,130,127,135,93,12,11,146,146,145,146,147,147,147,147,146,144,143,142,143,142,142,141,140,137,136,136,135,134,132,128,138,75,5,7,149,147,148,148,149,149,148,148,147,146,146,145,137,138,140,138,134,141,139,137,137,135,133,130,135,54,5,1,149,150,150,149,150,149,149,149,148,147,148,136,110,105,116,115,104,89,134,140,136,136,135,133,131,34,5,0,150,151,152,152,152,152,150,151,150,150,143,126,131,112,111,120,116,67,80,150,137,137,137,135,138,51,4,0,152,152,153,153,153,154,153,152,152,151,143,131,117,86,68,93,86,86,47,111,148,138,137,135,141,75,10,0,153,153,153,154,154,154,154,153,153,149,145,127,102,61,89,104,108,84,73,49,123,144,138,136,139,97,65,4,154,154,154,154,155,155,155,154,154,146,142,112,104,62,148,155,154,125,85,56,103,149,140,138,139,114,91,38,155,155,155,155,155,156,156,156,154,140,134,101,98,92,158,151,151,155,144,130,144,144,141,140,141,123,78,111,155,156,156,156,157,158,156,158,150,138,128,93,86,119,142,130,128,116,123,153,146,144,143,141,142,126,101,106,157,157,158,158,158,158,157,157,137,130,120,107,110,119,122,123,124,107,61,140,144,144,143,142,142,134,120,117,159,159,159,158,158,158,159,139,115,115,121,129,136,143,142,134,122,99,60,129,133,117,144,143,141,142,129,92,160,160,160,159,159,161,153,136,124,118,119,121,129,125,116,109,100,99,68,107,143,99,118,150,143,141,141,105,160,161,161,160,160,161,152,136,126,115,109,115,120,122,126,121,107,98,74,50,111,80,97,154,142,142,142,137,161,162,162,162,161,164,146,140,143,122,114,114,119,125,119,117,115,66,46,22,59,39,94,156,144,144,142,141,163,164,165,165,163,167,140,139,140,117,111,117,124,126,121,118,106,56,28,18,24,47,141,148,146,144,142,141,164,165,165,165,164,168,141,125,138,131,131,132,128,127,118,107,76,42,31,25,32,133,155,147,147,146,144,142,163,164,164,164,163,167,140,121,146,140,134,130,107,95,81,56,52,45,31,22,110,160,147,148,148,146,144,141,164,165,164,164,164,167,139,124,141,132,126,116,92,60,30,34,53,40,25,50,152,149,148,147,146,143,143,144,165,166,166,165,164,169,139,126,132,125,124,118,93,50,23,37,34,32,25,88,161,148,148,146,144,148,143,126,165,166,166,166,165,169,137,127,128,124,127,126,86,37,19,20,26,38,29,124,159,149,148,153,152,119,86,94,165,165,165,165,164,169,137,124,126,134,137,117,71,44,27,30,42,38,49,153,152,156,153,116,81,45,89,101,171,172,172,173,171,175,136,119,128,139,133,103,68,50,32,34,47,29,95,169,154,129,80,31,27,28,95,110,122,126,128,131,136,142,119,120,134,140,128,95,63,51,34,34,36,47,148,129,77,39,24,26,24,18,77,120,69,69,67,67,69,67,99,125,132,134,120,88,61,49,33,31,33,51,67,38,19,32,21,24,16,16,42,120,83,82,84,83,79,78,111,125,127,123,103,79,54,44,31,27,36,33,34,22,17,33,18,18,17,17,15,78
23,25,28,32,44,57,69,78,82,86,92,99,104,109,112,114,117,121,124,127,127,125,126,127,127,129,128,126,126,25,28,34,46,59,71,80,85,87,95,102,107,111,113,115,119,125,126,127,129,129,129,129,130,130,129,128,128,25,29,35,48,61,73,82,86,88,96,103,108,113,116,118,122,125,127,130,131,131,132,132,131,132,131,130,130,26,29,34,49,62,74,83,87,90,97,105,111,115,118,123,124,127,130,132,133,133,132,133,133,133,133,133,131,28,31,34,49,64,76,85,89,93,101,106,113,116,119,123,125,128,131,131,132,134,133,134,133,133,134,134,130,27,31,37,51,65,77,85,90,95,101,108,114,117,121,125,127,130,132,133,134,138,136,135,135,134,134,133,133,27,30,38,52,65,79,87,89,95,103,110,115,119,123,127,130,132,133,136,137,133,135,133,136,139,135,133,134,28,31,39,53,67,80,88,93,96,105,113,118,122,125,129,132,132,136,137,132,167,178,147,137,133,136,136,134,27,31,40,55,67,80,89,93,98,106,114,120,123,127,131,134,137,136,142,189,208,159,154,125,54,129,141,138,28,31,39,56,69,83,91,95,100,109,117,121,125,130,132,137,136,148,216,181,134,55,91,101,105,143,140,140,28,31,41,57,71,84,93,95,101,110,117,123,127,131,133,138,132,191,239,87,29,108,146,146,150,144,142,141,28,30,41,58,72,86,94,97,103,111,119,125,130,133,138,139,141,217,219,134,150,136,129,149,146,146,144,143,27,31,41,58,73,85,95,98,105,114,120,127,133,132,136,138,170,230,222,226,210,96,84,163,146,148,147,145,27,32,43,59,73,88,97,99,106,115,121,131,128,148,175,185,213,152,181,167,152,74,45,130,147,151,149,148,28,33,44,60,76,90,99,103,109,115,125,126,152,194,186,194,216,163,199,201,162,70,29,93,123,159,150,151,29,33,45,62,77,91,101,104,111,119,124,140,195,170,160,167,167,142,169,188,142,57,18,49,68,166,153,152,29,32,44,62,79,92,102,105,111,122,120,202,225,192,179,180,164,148,148,103,81,57,12,53,30,95,162,154,29,32,45,62,78,93,103,105,112,122,127,221,225,194,148,150,169,164,149,82,52,66,0,48,53,41,136,162,28,31,45,64,78,94,103,106,112,121,131,216,219,174,115,77,92,117,122,64,62,63,0,44,56,64,151,160,29,32,46,64,80,96,103,105,112,121,135,224,224,137,70,43,5,130,120,52,73,34,16,59,52,106,169,159,28,31,48,65,80,95,104,107,117,121,139,235,206,130,74,24,34,131,91,56,41,0,38,67,71,160,164,165,27,31,47,65,81,97,105,108,118,119,150,237,193,126,79,37,25,39,40,16,6,17,39,55,112,176,164,166,24,28,47,65,79,95,103,105,116,116,161,234,185,124,79,33,0,0,8,23,46,47,46,53,150,170,166,166,24,26,45,63,80,96,105,107,118,118,175,229,178,126,79,45,17,33,50,58,66,57,43,103,174,168,168,166,22,26,43,62,79,97,106,108,119,119,173,217,168,121,83,53,31,38,64,69,70,50,67,172,171,170,170,169,20,24,42,62,81,95,106,108,119,119,175,204,154,123,90,61,46,41,67,73,72,42,118,182,169,171,170,168,15,20,38,59,79,94,103,107,117,120,186,191,159,143,108,74,55,43,64,71,59,74,170,174,172,170,170,169,18,23,39,57,75,91,100,104,115,122,203,199,177,160,125,82,61,49,61,62,63,150,177,169,170,169,169,169
10,87,100,112,131,157,169,177,183,186,188,190,191,193,193,193,195,197,195,194,193,191,189,188,186,183,182,178,176,89,101,114,134,159,170,179,183,187,189,191,193,195,196,196,196,197,196,195,194,192,194,189,186,186,184,180,177,91,103,115,136,160,173,181,185,188,191,193,195,197,198,200,200,199,198,196,196,196,181,188,190,187,185,183,179,92,104,117,138,162,174,183,187,191,194,195,197,199,200,202,202,202,202,201,198,206,141,142,199,187,187,184,182,95,105,118,141,165,176,184,190,193,195,199,201,202,203,203,204,204,205,203,201,211,145,121,201,191,190,186,185,97,107,120,143,166,178,187,193,194,197,201,203,204,205,208,208,208,208,206,205,212,142,116,201,194,193,192,188,98,109,122,145,169,179,189,195,196,199,204,206,207,208,211,212,211,209,210,209,219,148,118,206,199,197,194,192,100,110,123,147,170,181,190,195,197,200,205,209,210,211,212,213,213,213,211,213,197,147,119,208,202,201,198,194,101,113,124,149,172,183,190,197,200,203,209,211,212,213,215,215,216,217,219,223,125,116,116,210,205,202,201,198,102,113,125,152,173,184,193,199,201,205,211,212,212,217,217,217,218,212,200,195,116,85,123,214,205,204,201,199,103,113,126,152,173,185,194,200,202,207,211,213,215,219,221,225,227,211,176,116,103,68,131,222,208,207,204,202,104,114,127,153,173,187,195,201,205,208,213,216,218,219,217,193,208,205,149,84,76,85,107,220,210,209,206,203,107,116,128,156,174,188,196,202,204,210,215,218,221,229,210,156,122,95,73,80,104,87,81,213,213,211,208,204,109,118,130,157,175,189,198,203,206,211,216,221,209,199,225,190,118,40,44,73,170,113,77,206,217,212,210,206,109,119,131,158,175,190,198,204,208,211,216,225,202,154,166,209,146,64,54,73,187,150,80,199,221,213,211,208,108,120,131,158,175,190,198,205,208,214,218,225,220,200,145,187,156,89,44,93,188,161,78,178,228,214,213,210,109,120,132,159,177,190,200,207,209,215,220,223,183,195,141,138,158,99,53,146,189,157,74,157,232,214,214,212,110,121,134,161,179,191,200,208,210,215,219,231,190,143,133,101,169,156,100,186,175,127,72,167,230,215,215,211,110,120,136,162,178,191,200,208,211,216,220,227,203,154,126,123,161,174,111,183,161,104,68,189,229,217,216,213,110,121,136,162,178,191,201,208,211,218,221,227,232,188,139,121,124,164,155,179,147,99,63,202,230,218,218,215,111,122,136,164,179,191,201,209,211,217,221,223,233,207,169,139,135,215,213,169,135,93,71,218,228,221,218,215,111,122,137,164,179,192,202,209,213,218,223,225,214,203,182,162,150,207,201,155,124,82,84,231,226,224,220,218,110,121,138,164,178,192,202,209,213,218,222,229,209,201,189,174,154,197,190,141,111,62,109,241,224,225,221,219,110,118,136,163,178,191,202,209,212,218,222,227,223,198,192,172,147,170,166,125,97,49,160,240,224,223,220,217,108,117,134,160,175,189,201,207,210,215,219,223,228,211,185,163,143,146,155,126,89,69,215,230,224,221,218,215,107,116,132,159,174,189,200,207,210,216,220,223,228,228,194,164,159,149,159,136,76,111,239,224,222,219,217,214,107,114,132,158,172,188,199,207,210,215,219,224,228,225,206,186,179,158,156,125,70,146,241,224,222,219,216,214,104,112,131,157,170,186,197,204,207,213,217,221,225,215,219,198,182,156,134,112,65,154,239,221,221,219,215,213
12,120,122,125,128,130,132,133,136,138,140,141,144,147,148,147,146,149,150,151,152,151,152,150,151,151,153,153,153,121,124,127,129,131,133,135,137,139,141,144,146,147,150,152,153,150,150,146,145,155,153,153,153,153,154,154,154,123,127,128,131,133,135,137,139,140,142,146,147,147,136,116,136,156,155,134,100,112,162,157,158,159,154,156,154,124,127,129,131,134,137,138,140,143,145,145,151,165,140,117,94,159,164,139,115,70,149,138,130,141,160,156,157,125,128,131,133,134,137,139,141,143,146,144,160,180,156,141,91,132,173,133,126,86,81,117,113,84,135,164,156,126,128,132,134,136,138,141,143,145,147,146,164,182,166,140,98,128,178,135,127,82,61,131,115,83,71,164,158,127,130,133,135,137,140,142,145,145,148,148,164,182,178,147,113,127,183,142,124,68,77,143,111,74,50,148,164,128,132,134,136,139,141,143,146,149,149,149,153,144,173,158,121,115,175,135,107,53,88,145,107,71,48,137,169,130,133,135,137,139,142,144,146,148,149,161,135,90,116,155,104,101,154,114,98,57,79,134,106,75,46,134,171,130,133,136,139,140,143,145,148,147,167,166,117,95,74,124,93,86,140,108,99,60,76,126,105,78,43,134,173,132,134,136,139,141,144,147,145,163,165,153,127,110,73,88,94,67,130,108,84,58,76,129,109,78,44,147,168,132,135,137,139,141,144,147,148,163,133,150,142,110,81,57,90,82,113,129,95,65,99,165,130,84,55,166,164,132,136,139,140,143,145,147,154,165,129,134,136,105,86,46,89,99,109,149,109,68,115,170,137,67,48,160,167,133,137,139,141,144,147,147,157,160,137,112,127,111,84,41,57,87,62,108,105,47,93,127,78,62,61,91,172,135,138,139,141,144,148,147,161,160,137,106,130,107,74,54,23,33,14,84,133,119,137,125,99,88,77,65,160,135,138,140,143,146,148,147,163,164,137,110,117,102,69,61,28,34,65,147,161,157,145,132,106,86,70,75,165,136,139,141,144,146,148,149,164,163,137,109,98,101,78,71,35,53,121,162,159,155,137,123,99,80,62,87,175,137,139,142,145,147,150,150,165,162,143,125,100,85,92,72,53,98,159,163,169,152,129,114,95,77,58,100,179,137,140,141,145,147,150,150,165,161,149,135,123,100,86,89,107,136,172,169,174,144,121,107,86,72,59,139,176,138,140,142,146,149,150,150,164,165,154,139,132,127,109,112,126,136,172,171,164,132,111,100,83,64,83,172,170,137,140,143,146,147,151,152,159,163,157,144,138,136,123,111,118,133,176,168,149,125,105,92,79,56,115,178,168,137,139,142,144,147,151,153,156,157,156,149,142,137,127,115,109,139,175,162,137,119,99,82,74,56,143,176,169,137,139,142,144,148,151,153,154,151,153,150,143,139,128,113,103,137,162,150,121,106,90,76,66,70,167,171,170,138,139,143,146,148,151,153,154,155,155,153,144,139,127,115,99,132,148,133,108,96,80,73,56,111,177,169,171,138,140,143,147,149,151,152,155,156,158,149,140,134,120,107,94,127,131,110,99,84,71,67,67,159,172,170,171,138,140,143,145,149,151,153,155,153,157,140,125,120,105,89,95,120,119,99,92,77,72,61,119,176,169,170,171,137,140,143,145,148,152,153,152,152,160,135,121,113,92,90,96,117,114,98,87,77,66,76,166,171,170,171,171,138,140,144,147,150,151,155,149,157,164,136,129,114,99,102,105,121,109,97,78,70,57,121,174,170,171,172,172
23,172,175,176,180,185,190,193,196,198,200,202,204,205,208,209,210,211,210,211,211,210,209,209,208,207,207,206,207,173,176,177,181,187,190,195,196,198,201,203,205,207,208,209,211,212,211,211,211,211,211,210,210,210,209,208,208,173,177,177,182,187,191,195,197,200,203,204,206,209,209,210,212,212,212,210,211,212,212,210,210,211,210,210,209,173,177,178,183,188,191,196,199,200,204,205,208,210,212,212,212,212,212,212,214,215,215,216,213,211,210,210,210,175,177,180,184,190,194,198,200,202,206,207,209,210,211,214,214,214,215,214,215,212,196,191,205,214,213,212,211,176,178,180,186,191,196,199,202,204,206,209,209,211,212,214,216,216,215,214,212,205,193,185,177,199,201,215,211,177,179,179,186,191,196,200,202,204,207,210,211,212,214,216,215,217,221,208,214,209,172,196,189,157,134,217,213,177,180,183,188,192,196,200,203,205,209,211,213,215,217,218,217,224,219,178,187,156,109,156,143,130,179,219,213,178,182,184,188,193,197,201,205,208,210,212,215,215,218,217,224,223,214,156,100,147,188,219,205,213,222,216,216,180,183,185,189,194,198,201,204,208,211,213,214,215,218,218,229,219,216,155,131,235,221,223,222,220,217,217,217,180,182,186,190,195,200,203,206,209,211,213,216,216,216,216,222,210,211,192,192,209,183,164,217,220,219,218,218,181,183,187,192,196,202,205,208,210,213,216,217,221,206,202,200,211,217,218,225,212,187,105,183,231,218,219,218,182,184,187,192,197,201,206,208,209,213,216,223,225,202,182,182,189,187,181,195,190,176,106,168,234,218,220,219,183,184,186,193,199,202,206,209,210,215,216,227,218,190,163,154,192,202,193,180,161,165,114,158,236,221,222,220,184,185,187,193,199,203,207,209,214,215,220,232,219,189,167,163,174,192,198,204,187,150,100,148,236,221,222,222,184,185,189,195,200,204,207,211,215,214,229,233,221,205,203,203,184,161,151,163,173,147,82,156,241,221,223,223,185,186,190,196,201,205,209,213,216,218,235,232,221,204,204,193,206,186,163,150,124,112,83,150,224,226,224,224,184,186,190,197,201,205,210,213,214,231,237,237,215,191,187,156,203,205,173,145,114,90,115,157,172,238,223,225,184,186,191,196,202,206,212,209,226,244,236,228,185,144,148,131,135,180,186,135,99,95,121,145,106,178,236,224,186,188,192,197,202,209,207,221,247,244,229,206,183,145,103,111,129,214,202,125,98,95,120,117,88,87,219,229,187,188,191,197,203,205,215,245,247,236,218,195,181,151,97,131,188,208,173,108,93,89,118,109,98,78,189,237,187,189,191,197,203,203,243,250,239,224,204,200,179,138,93,89,122,141,124,88,85,107,116,110,86,113,219,230,187,189,192,199,199,221,255,244,235,216,202,193,164,135,108,81,86,94,101,98,92,119,116,99,136,219,234,228,186,186,196,200,207,253,244,238,225,206,193,180,154,127,100,96,118,124,120,115,102,96,118,180,237,233,228,230,185,187,178,169,243,250,232,226,211,196,182,166,140,117,96,111,129,131,125,108,94,145,224,238,230,230,230,229,184,195,119,79,235,246,223,211,193,179,167,153,129,111,101,120,124,118,94,104,194,240,235,229,231,230,230,229,189,170,92,80,111,193,213,194,184,172,161,144,124,103,100,114,109,87,115,212,242,231,232,232,231,230,230,230,190,118,77,85,80,89,135,157,158,154,143,135,108,81,82,91,94,139,226,241,231,234,233,233,233,231,231,230
15,100,109,118,122,125,129,137,143,149,154,158,162,165,167,170,173,175,179,181,184,186,188,190,191,193,194,195,196,102,110,119,123,125,130,137,144,149,154,159,162,165,168,171,173,177,180,182,185,188,189,191,193,195,195,196,197,103,111,120,124,127,132,139,145,150,156,160,162,165,169,172,175,179,182,185,187,189,190,193,194,195,196,197,199,104,113,122,125,128,134,140,146,152,156,159,163,167,170,173,177,180,183,186,187,189,191,194,195,196,197,198,199,105,114,121,125,129,134,140,148,152,156,160,163,167,171,174,177,180,183,186,188,191,193,195,196,196,197,199,199,116,121,129,132,134,142,148,151,151,154,157,160,165,170,174,176,179,183,187,189,192,194,196,198,199,199,200,201,142,132,137,140,143,153,161,164,168,166,159,157,159,161,169,169,166,165,173,185,192,195,197,199,200,200,201,201,127,112,116,124,137,150,156,165,180,176,169,169,172,178,176,176,175,158,141,136,171,195,197,199,200,201,202,202,100,99,104,108,116,127,136,151,174,182,182,183,184,186,187,177,172,183,144,116,113,164,198,200,200,201,202,202,109,118,123,123,126,131,136,139,148,159,173,190,193,172,171,175,150,191,145,116,125,120,164,199,199,201,202,202,109,119,125,127,132,139,143,152,144,131,135,143,165,163,147,152,139,191,146,113,140,143,108,167,199,201,201,202,111,120,126,127,132,138,146,169,136,117,111,123,152,156,128,122,127,159,141,126,143,146,105,105,186,201,201,201,111,120,125,127,132,137,156,181,124,106,117,135,161,155,129,118,124,120,119,130,144,134,94,76,125,198,200,202,112,120,125,127,132,139,156,191,138,113,133,144,158,146,124,118,119,119,121,134,147,141,98,73,76,143,197,204,112,121,126,127,132,139,170,199,191,159,139,125,124,116,101,100,103,113,128,140,144,138,104,78,74,80,132,188,112,120,125,127,132,138,178,202,194,193,169,123,76,64,62,57,63,83,112,131,129,121,100,87,84,77,76,104,110,118,123,126,131,137,161,197,193,180,181,179,108,41,41,37,42,51,81,121,129,124,115,110,98,87,80,76,99,105,110,113,118,121,131,182,193,175,170,186,116,53,42,37,46,45,76,129,143,142,136,128,112,93,84,82,81,83,85,85,88,88,102,189,189,172,158,152,90,58,46,42,51,51,67,113,135,140,138,130,114,95,84,87,86,87,88,88,90,91,98,166,193,175,144,132,109,66,49,49,53,61,72,89,110,122,127,122,111,95,87,88,88,87,88,90,91,93,93,109,147,161,147,134,121,81,57,55,52,61,75,81,93,112,118,113,102,95,91,89,88,89,90,91,91,93,94,93,98,104,104,102,96,86,68,61,54,59,75,84,80,98,110,107,100,95,93,92,88,89,90,91,92,91,93,93,93,96,96,95,95,99,94,84,81,76,87,97,92,93,103,101,95,89,90,93,88,88,88,90,92,92,94,94,95,97,98,98,99,107,112,124,120,110,124,133,136,128,122,113,95,87,98,101,87,88,88,89,91,93,93,94,95,96,97,98,98,99,100,119,116,136,159,164,159,150,135,122,105,103,117,118,87,87,88,89,91,93,93,93,95,97,97,98,98,99,98,99,99,115,136,147,151,134,119,109,111,118,123,137,87,88,89,89,91,91,93,93,94,95,96,96,97,96,97,98,99,101,100,111,119,110,119,125,119,114,126,149,86,88,89,90,90,90,92,93,93,93,94,95,95,96,97,98,99,99,99,100,101,114,132,134,114,118,134,152
15,88,91,92,94,97,100,105,116,126,134,140,145,150,153,155,158,161,164,167,171,173,175,177,179,181,182,183,183,88,90,94,98,98,99,105,116,126,134,141,146,151,153,156,158,162,165,168,171,174,176,178,181,183,182,183,184,88,90,117,137,120,107,108,116,126,134,141,147,152,154,155,158,162,166,168,172,174,176,179,181,183,182,183,185,88,90,137,170,157,140,129,125,128,132,140,147,151,154,155,158,163,167,170,173,176,178,179,181,182,183,185,186,88,89,117,152,153,148,149,146,143,138,136,138,142,146,151,156,161,166,169,172,176,178,180,181,183,184,186,188,88,90,96,114,121,123,135,142,146,150,146,140,138,139,143,145,146,149,153,161,173,178,180,182,185,186,187,189,88,90,92,97,101,105,116,122,126,141,146,143,139,140,148,152,144,131,123,122,151,176,182,184,186,187,188,189,88,90,93,95,97,100,109,115,117,128,135,134,130,131,148,160,158,141,127,108,113,156,180,185,187,188,190,191,88,89,92,94,96,100,109,119,125,132,135,134,130,133,154,161,161,151,143,125,108,122,163,183,187,190,191,193,87,89,90,93,96,100,110,120,128,136,142,145,145,157,168,160,159,162,155,145,126,107,123,167,186,190,192,193,87,88,90,93,96,100,111,125,134,139,143,148,159,173,166,145,153,164,157,161,144,115,98,127,174,189,192,193,87,88,90,93,96,100,118,147,149,149,147,143,154,156,137,120,140,157,154,170,153,122,98,95,140,182,192,194,87,88,90,93,95,99,123,155,160,169,169,149,133,130,112,96,127,144,151,168,155,126,103,89,101,151,186,195,87,88,91,93,95,99,114,135,149,171,174,151,135,136,127,116,128,137,145,151,145,125,105,90,85,104,157,189,86,87,89,91,93,98,109,123,139,154,152,139,142,146,142,142,144,138,123,117,122,115,102,89,83,82,112,162,86,86,87,89,92,97,108,120,130,138,140,129,135,143,147,152,154,141,113,96,100,101,96,92,86,82,85,111,84,86,86,88,91,96,107,118,127,141,167,138,112,112,133,148,151,137,108,92,93,94,94,95,91,86,83,81,83,83,85,88,89,95,106,118,126,142,180,150,98,69,88,122,139,128,105,94,94,94,95,97,94,90,86,80,82,83,84,86,88,95,107,117,126,140,173,146,93,70,67,87,118,112,98,94,97,98,98,97,95,92,88,83,81,82,84,85,87,94,106,117,127,139,170,143,93,96,79,84,106,114,105,101,103,103,100,97,94,91,89,87,80,81,82,84,86,93,104,115,125,137,167,139,95,124,102,107,110,122,119,111,106,102,98,95,92,90,89,89,79,80,81,83,84,91,102,114,124,135,170,136,92,138,129,110,133,126,111,103,97,94,92,92,91,91,91,90,86,85,85,86,88,94,104,115,124,134,161,123,93,141,144,104,142,140,113,112,92,80,80,80,81,84,88,90,113,111,110,112,113,116,119,122,126,129,133,104,105,139,132,108,140,148,141,140,107,77,71,71,73,77,83,88,105,104,105,107,108,108,107,105,103,104,104,95,102,112,109,105,114,117,117,116,105,86,78,82,87,92,95,97,101,101,101,101,101,101,101,99,96,97,100,101,102,102,102,103,102,102,103,103,102,99,98,105,105,108,108,111,103,102,102,103,102,102,103,103,102,102,104,104,103,105,106,105,104,104,105,105,106,106,107,124,123,120,118,122,105,103,103,103,103,104,105,105,106,106,105,104,103,105,106,106,105,105,105,105,106,107,107,131,142,134,130,131
16,83,85,88,92,101,110,115,120,125,127,128,130,134,138,141,145,147,148,149,151,153,154,155,157,157,157,159,160,84,85,89,94,102,110,117,122,126,128,129,131,135,139,141,143,146,149,151,152,153,154,156,157,159,158,159,160,84,86,90,94,103,111,118,123,127,128,129,133,136,140,142,145,147,150,151,153,153,155,157,158,159,160,160,161,84,87,90,93,104,112,118,122,127,129,131,134,137,139,143,146,147,150,151,153,155,157,158,159,159,160,161,161,84,88,90,94,105,114,120,125,129,130,133,134,140,144,145,148,153,152,152,155,157,158,160,160,160,161,162,162,85,88,91,97,107,115,123,124,128,131,132,131,132,127,118,112,122,153,155,154,159,160,161,160,162,163,163,164,86,89,92,98,108,116,118,126,134,130,119,108,99,88,82,84,78,95,151,161,159,161,163,163,164,164,165,166,87,89,91,99,107,114,130,144,138,117,93,90,88,79,72,80,88,70,86,155,163,160,165,166,166,166,167,167,87,90,94,96,107,137,150,127,105,88,73,83,84,75,71,79,83,75,75,89,166,162,166,167,166,167,168,168,88,91,85,113,139,133,102,90,85,75,72,86,84,73,75,82,81,75,91,63,115,174,164,167,167,169,169,169,87,86,121,150,117,90,74,78,77,63,81,92,82,74,83,83,74,83,89,78,68,160,168,167,170,172,172,172,82,156,167,113,85,75,66,66,90,115,87,74,56,76,90,80,59,87,87,77,60,108,180,168,172,172,172,172,106,188,129,99,76,62,81,114,171,171,101,55,58,60,82,67,51,96,84,73,71,57,138,178,170,172,173,173,91,144,107,81,80,125,180,176,182,161,117,70,64,60,52,35,61,102,80,83,83,76,71,147,178,172,174,175,86,94,96,88,164,182,179,169,181,154,119,84,69,63,27,14,68,100,79,91,93,93,79,83,176,175,175,176,91,91,93,113,185,164,180,174,177,142,107,86,82,73,66,22,53,93,79,88,97,86,79,60,145,183,175,176,90,94,88,130,192,166,185,176,162,120,82,85,89,82,77,58,35,77,86,124,111,79,70,55,108,188,175,177,91,94,87,155,195,163,185,173,142,100,89,94,96,92,79,69,38,48,129,158,154,137,106,52,108,190,176,179,92,95,88,163,193,160,163,154,104,79,82,101,96,84,80,72,64,51,150,173,173,173,170,128,136,185,178,180,91,93,90,141,199,159,114,105,72,70,78,83,79,73,69,66,80,64,145,180,175,178,181,169,124,143,186,180,91,92,95,114,170,113,83,77,77,85,89,81,66,63,68,62,67,55,118,189,170,175,175,154,116,97,185,181,91,92,99,108,127,90,75,90,85,74,67,64,57,55,57,54,67,83,89,146,164,164,162,141,96,123,188,181,93,93,99,110,120,120,81,79,64,81,84,90,84,65,55,74,83,90,81,67,89,133,143,124,136,181,185,183,93,93,100,111,125,115,71,71,62,67,132,105,82,74,61,50,50,42,40,40,17,91,188,178,188,186,184,184,91,93,100,111,124,97,72,67,70,55,37,58,39,28,20,16,17,18,17,20,7,67,196,183,184,184,185,186,91,94,100,114,116,83,71,65,61,72,31,9,31,28,21,15,15,16,17,19,9,142,193,181,184,185,186,188,91,93,100,115,101,75,69,62,60,62,57,7,22,30,22,16,15,16,18,11,35,183,183,184,186,187,187,188,90,94,101,112,83,70,67,61,57,60,65,14,10,25,21,17,15,15,19,3,81,200,182,185,187,188,188,189
13,148,152,154,154,156,158,159,161,160,161,162,163,163,163,162,163,162,161,161,161,159,158,157,157,157,154,154,152,150,152,153,155,157,159,160,161,161,163,163,164,164,165,165,164,164,164,163,162,160,160,159,159,158,156,155,153,151,153,155,156,157,160,162,162,164,165,165,165,165,165,165,166,165,165,165,164,163,163,161,161,159,158,157,156,152,154,157,157,158,160,163,164,165,166,166,167,168,168,167,165,166,168,168,165,165,164,163,162,161,160,159,158,152,155,157,158,159,161,164,165,166,167,166,169,170,163,166,171,167,164,168,169,165,165,165,163,163,162,160,158,153,156,157,158,161,163,165,166,167,168,168,170,160,132,109,153,163,127,107,147,172,166,166,164,164,163,161,160,154,157,158,159,162,164,165,166,167,169,168,173,168,140,115,97,132,127,89,86,172,167,167,166,166,164,162,160,155,157,159,160,163,165,167,168,168,170,171,173,182,150,132,84,106,135,105,67,153,173,169,168,167,166,163,162,156,159,160,160,163,166,167,169,170,171,172,171,179,154,123,84,88,126,104,61,140,176,168,169,169,167,165,164,156,159,160,162,164,166,168,170,171,172,175,177,173,153,119,89,73,102,90,57,138,177,168,169,168,167,166,165,157,160,161,163,165,167,169,171,172,168,144,156,155,150,121,99,73,103,96,61,152,177,170,170,169,167,166,165,156,159,161,164,166,169,171,171,174,154,110,96,101,138,154,120,82,108,110,64,151,179,171,171,171,169,167,167,157,160,162,164,166,168,172,172,182,150,116,106,80,123,173,131,83,93,104,58,102,183,171,171,171,170,169,168,158,162,163,165,167,169,170,160,130,142,132,122,89,63,129,103,76,87,84,76,69,151,180,171,172,171,170,168,158,162,164,165,168,166,176,148,100,101,146,125,110,59,40,49,62,91,90,95,84,96,181,173,172,171,170,170,159,162,164,165,166,178,179,133,114,95,124,131,109,88,40,58,73,79,114,113,104,70,155,179,172,172,171,170,159,162,165,166,169,180,147,138,127,113,94,128,114,99,54,59,112,119,123,114,104,68,136,183,172,173,171,170,159,163,166,167,169,184,148,127,125,111,93,106,109,81,56,63,133,146,142,106,93,68,149,182,172,172,171,170,160,163,166,168,172,177,147,111,104,102,82,60,85,75,66,79,146,144,137,113,83,71,170,179,175,173,172,171,160,163,166,167,171,172,163,142,108,81,62,47,74,94,80,119,162,141,130,109,70,89,184,176,177,175,173,171,161,165,167,167,169,172,170,153,127,108,96,92,94,102,110,164,159,133,117,104,63,115,189,177,177,175,174,172,162,166,166,168,171,170,166,158,139,125,106,104,119,151,161,163,147,128,110,97,60,142,187,177,178,176,174,172,162,165,166,169,170,172,163,148,136,120,104,106,115,162,159,149,135,119,104,84,63,166,183,178,178,176,175,172,162,166,167,169,171,174,157,139,137,121,110,112,112,149,154,146,127,109,95,73,77,184,179,179,178,176,175,174,163,166,167,169,171,176,166,145,137,124,118,115,114,145,151,142,122,98,88,54,117,191,178,179,178,177,175,174,163,165,165,168,170,174,178,151,136,133,121,110,106,129,141,129,108,86,70,62,172,183,180,179,178,176,175,174,162,165,166,168,171,173,177,172,144,131,117,109,103,115,129,120,98,84,54,113,192,179,181,179,177,176,176,176,160,164,166,167,170,173,174,177,161,134,118,107,106,110,122,117,97,82,58,155,186,179,179,177,177,176,174,173
3,48,39,0,20,50,67,77,91,100,106,111,116,120,123,125,128,131,134,138,137,140,144,144,147,148,149,149,150,56,33,0,27,56,70,81,94,102,109,115,119,122,124,127,130,134,133,134,142,142,145,147,148,150,151,152,153,64,27,0,33,59,72,84,97,104,110,117,120,122,125,130,132,136,145,90,134,147,147,149,150,150,152,154,153,65,15,0,38,60,73,85,98,105,112,118,121,124,126,131,134,140,163,80,114,152,147,150,151,153,154,155,155,67,3,0,41,62,74,87,100,107,113,117,122,124,129,132,135,144,160,76,114,153,148,151,154,154,155,156,156,66,0,3,44,64,76,90,102,108,116,120,123,127,131,135,136,149,165,78,120,153,149,153,154,155,156,157,157,63,0,9,47,66,77,92,104,110,117,123,127,132,129,130,131,160,151,74,123,157,153,155,156,157,158,159,159,59,0,18,50,68,80,95,106,112,119,121,124,125,165,147,103,150,122,66,127,159,155,157,157,159,159,160,161,51,0,26,54,71,83,96,106,114,117,142,151,112,134,175,121,89,110,63,138,158,157,159,159,160,162,163,163,41,0,32,56,71,84,98,109,115,113,151,190,160,94,130,135,94,123,72,150,156,158,159,161,162,164,164,164,29,0,37,59,74,87,101,108,119,167,147,106,148,117,85,165,138,116,64,145,162,157,161,163,164,165,165,166,17,0,40,61,77,88,103,107,129,181,164,108,80,133,80,85,103,122,67,93,163,160,163,164,165,166,167,167,5,0,44,62,79,91,105,106,140,149,97,133,112,113,119,38,70,141,132,80,119,170,163,165,167,168,168,168,0,5,47,66,79,91,107,105,149,142,61,83,85,74,86,81,75,122,152,85,113,174,165,167,167,169,170,169,0,13,49,67,80,93,108,107,153,143,115,86,53,70,87,104,82,129,154,77,134,174,167,168,169,171,170,171,0,20,51,67,80,94,106,107,165,158,112,74,60,84,110,112,95,155,162,78,150,171,167,169,171,171,172,172,0,26,53,70,82,94,106,110,164,144,92,69,73,96,124,127,146,175,146,75,155,169,169,170,171,172,172,173,0,30,54,70,83,95,108,109,161,152,108,82,75,104,132,157,182,162,128,72,157,170,170,172,173,173,173,174,0,32,57,73,84,97,109,109,160,161,118,89,82,103,147,185,183,143,97,82,170,171,172,173,173,173,173,175,0,36,58,74,85,98,109,108,156,170,136,96,91,108,168,184,174,142,73,90,177,169,173,173,173,173,174,174,0,38,59,73,85,98,109,110,147,169,137,110,101,114,177,182,163,135,65,105,179,169,173,173,173,174,174,174,0,42,60,72,85,98,108,114,133,157,142,130,116,119,170,172,149,125,59,131,178,169,172,173,174,175,175,175,6,44,62,74,85,99,107,115,123,150,151,138,131,115,151,152,132,104,64,157,173,171,173,173,174,175,175,175,11,45,63,74,86,99,107,115,121,155,158,142,125,107,127,132,122,94,83,175,170,172,174,174,175,176,176,175,15,46,63,74,86,99,108,117,120,170,165,138,118,104,119,116,123,77,127,177,168,172,174,175,176,176,176,176,19,47,63,74,86,99,108,116,124,181,164,141,123,110,128,115,103,71,160,170,171,173,174,175,175,176,176,176,23,49,64,75,86,99,107,115,128,179,174,157,121,126,138,105,71,88,172,167,171,172,175,175,175,178,177,177,28,50,65,76,87,99,107,115,128,181,184,159,120,135,128,97,56,104,174,168,171,172,174,175,176,178,179,178
18,188,190,191,194,195,197,197,197,200,199,200,201,201,199,198,199,198,197,197,195,196,195,194,195,192,192,191,189,190,192,194,195,196,199,199,200,202,202,202,204,204,202,200,201,200,199,198,198,200,198,196,194,196,195,194,193,194,194,196,197,200,201,201,202,202,203,203,204,203,203,203,202,202,201,200,200,200,198,199,197,198,196,195,194,195,196,199,201,202,202,204,203,204,204,204,204,204,204,204,204,203,204,203,202,201,202,203,198,198,197,196,196,195,197,199,201,203,204,204,204,204,205,204,206,206,206,206,206,205,205,205,203,202,200,195,201,199,199,198,197,197,197,201,203,204,204,206,205,206,207,207,208,209,208,209,208,206,204,205,200,226,182,143,209,201,201,200,199,199,202,202,204,204,205,208,209,208,209,210,209,209,209,208,209,212,211,206,209,246,184,96,197,205,203,201,200,201,203,204,205,207,208,210,212,211,212,211,211,211,210,215,194,160,188,176,166,244,208,108,145,217,201,204,203,202,203,205,208,209,211,212,212,212,214,213,213,213,213,233,215,159,131,143,165,244,221,146,85,183,213,202,205,203,205,207,210,210,212,212,214,215,216,216,213,218,202,157,188,201,151,113,145,219,219,164,126,108,190,211,204,204,206,208,211,211,213,214,217,217,216,215,227,225,198,154,98,174,168,116,90,130,191,178,149,115,107,214,206,205,208,210,212,213,215,216,217,219,214,237,247,243,205,173,119,116,168,113,78,69,140,202,152,128,86,202,212,207,210,211,213,215,217,216,218,217,222,245,224,251,210,177,133,83,113,98,73,55,166,212,176,134,93,205,211,209,210,212,215,218,218,218,221,216,248,247,200,227,198,185,132,84,84,88,74,56,139,210,191,138,88,201,214,210,211,214,216,218,218,220,218,235,246,226,205,215,167,145,110,80,104,80,57,58,141,200,195,142,87,202,216,211,214,216,217,218,221,218,224,255,233,192,166,199,121,105,94,96,126,76,98,123,158,202,180,133,84,201,219,212,215,216,217,219,221,221,227,255,247,216,165,141,136,128,54,96,133,164,195,198,156,162,156,130,78,190,221,213,216,217,220,222,225,221,236,255,250,229,179,129,145,119,29,151,225,225,200,183,166,120,137,132,79,176,225,215,217,218,221,223,227,221,249,255,247,207,170,155,143,100,121,247,234,220,195,159,159,127,116,124,74,190,227,217,219,221,222,224,225,226,254,255,236,193,182,153,118,124,225,238,227,209,188,159,145,132,106,95,101,222,218,217,218,220,223,225,224,230,255,255,231,195,189,152,122,191,243,231,217,203,184,155,137,125,104,72,170,230,216,218,219,220,223,225,226,233,255,254,231,201,207,148,172,205,232,226,206,198,180,141,129,115,89,87,222,222,221,220,220,222,224,226,226,234,253,248,230,217,200,155,157,204,209,215,195,186,162,132,118,108,67,149,236,220,223,220,220,222,225,227,226,233,253,246,234,224,182,144,142,189,197,194,188,174,149,125,108,85,82,219,226,224,224,219,221,223,225,228,226,238,248,242,239,208,155,124,158,174,190,185,173,160,132,110,93,58,171,236,224,227,226,221,223,225,224,228,228,243,240,229,220,186,152,148,169,175,185,181,162,144,119,99,62,128,235,223,226,227,225,222,224,227,227,228,227,252,250,248,232,218,199,179,159,174,185,169,143,123,109,71,104,231,228,227,227,227,226,220,226,220,211,229,233,255,250,249,236,215,195,177,148,161,178,152,127,114,87,83,214,234,229,228,227,228,227
4,138,139,140,142,144,145,146,147,148,149,151,151,152,151,151,150,149,150,149,149,148,147,146,146,148,147,146,144,137,139,141,143,144,145,146,148,149,149,151,151,152,151,151,149,151,151,151,149,148,149,148,148,148,147,146,145,139,140,142,144,145,147,148,147,149,149,152,152,152,151,150,155,149,151,153,151,151,151,150,149,148,148,147,147,140,142,143,145,146,147,149,149,151,152,154,151,165,155,136,133,161,151,135,148,153,151,150,149,148,149,148,148,141,143,144,145,147,149,150,150,152,156,143,162,190,149,138,107,175,145,122,104,152,153,155,151,149,149,149,148,142,145,145,146,148,152,151,149,188,185,155,128,189,160,128,128,186,149,126,75,143,131,131,155,149,150,150,150,141,146,147,145,149,152,147,165,206,201,172,102,162,175,115,145,193,148,106,118,157,113,78,128,156,150,152,151,143,146,148,148,150,152,147,186,192,195,155,99,157,175,125,142,170,155,168,155,105,102,70,84,157,152,153,152,145,146,149,152,152,150,156,196,167,189,142,85,141,163,169,162,174,200,201,158,99,71,67,74,157,154,153,152,145,148,149,151,154,148,168,194,156,173,149,73,120,149,156,175,184,187,172,165,128,76,54,81,161,153,154,153,146,148,151,152,153,151,191,188,153,152,163,71,100,145,92,128,159,164,155,172,138,95,51,92,163,153,154,154,147,148,150,153,148,169,200,163,141,130,110,59,100,152,65,110,149,121,162,179,149,110,59,112,163,153,155,155,147,149,151,154,147,188,190,150,124,125,104,81,102,129,70,115,164,73,164,195,164,125,69,136,163,156,156,155,148,151,153,153,153,203,187,148,119,109,96,90,95,94,89,94,125,88,154,207,176,136,76,112,166,157,157,155,149,151,155,151,161,213,184,149,118,101,85,90,100,98,129,130,148,174,166,186,171,130,94,75,160,160,158,158,150,154,156,149,171,216,183,147,112,105,92,95,94,105,148,159,184,179,180,156,147,135,108,74,151,162,158,158,151,153,156,148,183,215,184,140,116,123,105,91,85,126,173,183,183,173,167,141,113,130,99,85,158,159,159,158,150,152,155,148,192,214,180,142,142,142,110,102,140,186,196,183,182,172,148,125,101,102,78,112,166,158,159,158,148,151,154,149,197,211,183,165,169,147,115,158,194,202,203,183,175,158,135,116,95,83,75,148,162,160,159,158,148,152,155,152,202,209,195,180,172,158,123,179,199,203,208,176,155,144,127,111,91,67,109,167,160,161,159,159,150,152,155,152,203,212,202,183,165,162,133,184,204,204,195,166,140,129,119,105,81,74,155,164,161,160,159,160,150,152,158,150,194,215,202,187,165,157,150,187,202,188,174,153,128,120,112,92,68,114,168,160,162,162,161,160,151,153,157,150,183,211,192,183,171,157,155,175,185,172,154,135,125,123,104,76,78,158,164,164,162,161,161,159,151,153,157,150,186,201,180,177,178,164,158,166,175,161,146,126,120,116,95,67,127,171,161,162,162,161,159,159,150,153,157,149,185,193,171,177,179,159,144,162,176,161,139,115,109,107,80,100,167,165,164,163,161,161,160,160,149,152,157,151,177,195,175,177,168,159,139,155,178,156,122,98,101,91,83,152,164,162,163,162,160,159,159,159,103,103,108,95,149,206,184,183,167,160,142,145,174,142,109,94,93,81,80,97,95,94,94,94,93,95,95,90,75,73,78,62,127,218,195,189,174,167,147,135,169,142,107,92,84,75,69,68,65,66,66,65,66,64,69,132
15,87,86,89,87,92,93,94,97,99,108,120,129,136,141,146,151,153,156,158,163,166,169,171,173,174,177,179,180,87,87,88,86,90,92,89,95,99,109,119,128,136,142,147,152,153,156,159,162,164,170,172,173,175,178,180,182,88,87,88,87,90,90,106,94,95,109,120,130,138,143,148,153,154,156,160,165,166,170,173,174,177,180,183,183,88,87,87,90,76,128,185,141,113,108,115,128,139,147,151,155,156,156,158,164,167,171,174,176,178,180,181,183,89,87,86,90,78,131,189,174,162,149,133,134,128,140,149,155,158,158,162,165,168,170,174,178,179,179,182,183,88,88,88,89,89,91,141,144,139,156,155,156,143,135,131,136,140,147,154,163,171,176,178,177,179,180,184,185,87,88,87,88,91,90,94,108,109,126,136,142,160,155,146,142,139,142,140,133,137,144,161,184,179,183,184,186,87,88,87,88,89,92,93,95,101,110,114,110,137,145,144,137,141,155,164,149,126,111,92,151,187,181,185,187,88,89,88,89,91,94,96,96,100,111,120,123,129,133,130,125,120,155,163,166,144,133,102,83,169,188,184,188,86,88,88,89,90,93,95,95,99,112,122,131,140,143,142,134,134,167,165,166,154,150,130,104,98,181,188,187,87,88,88,88,90,91,94,96,100,109,118,131,138,148,155,147,178,178,153,158,173,157,151,133,94,103,187,189,88,88,89,88,91,91,94,96,100,109,138,137,139,138,144,173,184,170,125,161,172,156,175,146,114,78,119,197,88,89,89,89,91,91,95,97,92,137,176,153,160,154,133,148,146,116,97,153,153,151,184,152,118,96,75,143,88,88,88,88,88,91,92,96,95,132,154,161,184,184,146,115,128,106,73,142,133,158,177,153,125,102,86,81,87,86,86,87,89,92,92,95,98,110,128,143,178,177,139,139,147,137,128,128,133,144,151,143,123,101,86,84,86,86,86,86,87,91,91,93,99,111,123,136,148,134,132,153,151,144,150,154,139,106,102,119,109,97,85,82,85,84,84,86,87,87,88,90,98,113,122,126,139,147,118,138,152,155,160,163,141,102,85,95,95,92,93,84,83,83,83,85,86,86,88,89,97,111,122,126,150,209,128,85,89,141,151,155,134,97,89,94,92,94,97,91,82,82,83,83,84,85,88,89,98,111,120,125,147,198,133,77,39,71,129,141,118,98,97,96,93,94,98,96,82,82,83,83,83,85,87,88,97,111,120,125,144,187,123,66,88,54,80,127,98,91,94,99,100,97,98,94,82,82,82,82,84,85,87,88,95,110,121,125,143,187,113,83,102,80,94,117,131,110,110,108,105,102,96,93,80,80,80,80,81,83,85,86,95,107,117,127,138,193,97,98,126,103,141,100,141,123,115,107,100,97,95,90,77,77,78,78,79,81,84,84,93,106,116,123,146,202,80,104,186,71,161,149,116,91,94,93,93,93,93,93,80,78,80,81,79,79,82,82,90,104,116,122,143,157,72,121,187,68,144,177,121,120,126,70,74,79,76,78,134,132,129,127,124,123,126,126,128,128,130,131,141,121,100,150,139,104,154,157,161,168,166,102,67,69,69,72,103,101,100,98,99,100,103,106,102,101,99,96,100,98,104,107,105,105,107,107,108,105,107,105,81,81,90,95,102,102,102,100,100,100,101,99,99,101,100,97,98,101,101,102,100,101,104,102,101,99,100,102,102,109,114,106,104,103,103,103,101,103,105,102,103,104,107,105,105,107,104,103,105,106,107,106,107,106,106,109,106,110,142,117
21,122,130,136,139,142,149,154,158,161,164,165,168,170,171,171,171,172,171,170,170,171,169,169,168,166,165,165,163,123,132,138,141,144,150,156,159,163,167,168,170,171,173,175,173,173,173,172,171,172,171,171,168,166,165,165,165,126,135,140,142,147,154,157,161,165,168,171,172,172,173,174,178,175,175,176,175,173,174,172,170,169,167,166,166,126,136,141,143,147,154,159,164,167,170,172,174,172,193,155,142,183,176,177,177,176,175,174,173,171,170,169,167,127,137,143,144,149,156,161,165,167,171,174,175,174,208,166,104,174,181,179,179,177,177,177,174,177,173,171,169,130,139,144,145,151,158,163,166,170,173,175,178,174,201,187,112,153,188,179,180,180,178,182,167,134,172,173,172,130,140,145,146,153,159,164,168,172,175,178,180,179,193,214,147,138,191,181,182,182,180,189,162,93,158,179,173,133,142,147,149,155,161,167,170,173,176,180,182,182,189,226,170,121,186,185,185,182,184,186,155,100,164,180,175,134,143,148,150,157,164,169,171,174,179,180,184,184,187,221,176,115,171,191,186,184,195,190,139,105,183,178,178,136,144,150,152,159,165,170,174,178,181,182,186,187,186,222,190,124,153,196,187,186,201,186,124,124,190,179,179,136,145,150,153,160,166,171,176,179,182,184,187,189,184,220,208,139,145,197,185,193,194,160,103,154,191,181,180,137,147,151,154,161,167,172,176,180,183,186,188,190,186,209,209,135,140,199,190,206,195,147,92,177,188,182,182,139,149,152,155,162,169,174,178,182,185,187,189,192,192,207,205,119,120,198,193,206,188,126,119,195,184,185,184,140,150,154,157,164,170,176,179,182,187,188,191,193,159,157,212,127,141,177,188,183,156,93,155,197,185,187,186,140,151,157,159,165,172,178,181,184,187,189,199,207,149,117,166,141,137,170,183,179,121,94,191,190,189,188,188,141,151,158,160,167,174,180,183,186,189,190,184,204,156,145,123,143,137,124,163,167,96,144,203,190,191,190,188,142,153,157,160,168,175,181,184,187,191,209,154,151,165,167,159,170,143,70,106,135,80,161,201,193,193,192,190,143,154,158,162,170,176,182,186,186,207,222,188,120,155,165,155,155,128,102,73,79,75,171,201,193,194,193,191,145,155,159,163,170,176,182,187,188,207,222,198,126,122,154,99,120,141,126,98,67,67,183,201,195,196,194,193,146,155,160,164,171,178,184,189,188,218,212,184,142,106,161,140,84,151,147,116,91,56,154,209,196,196,195,194,146,157,162,165,173,179,186,189,191,219,204,188,145,78,154,220,108,136,180,126,106,70,113,213,197,198,197,195,148,159,160,165,174,180,186,192,190,219,234,203,133,117,112,157,103,165,170,132,110,77,106,213,198,200,197,196,149,158,161,166,174,181,187,193,191,214,234,217,156,173,93,123,188,170,157,115,106,67,120,215,198,201,199,197,149,159,163,167,175,182,187,193,193,208,237,202,172,150,115,176,202,147,148,140,98,61,137,216,199,201,200,200,149,160,162,167,177,184,188,194,196,204,234,199,196,153,162,214,182,160,150,148,110,55,167,214,202,202,201,201,149,158,161,167,175,182,188,194,196,199,223,202,197,163,172,211,179,162,137,127,91,67,199,207,203,202,202,202,149,158,159,166,175,182,188,192,195,201,215,203,191,171,140,177,156,132,112,99,58,107,217,203,203,201,202,200,151,158,162,168,176,182,189,191,203,173,170,213,187,161,127,130,133,122,100,82,57,172,214,204,204,202,202,200
1,182,183,185,186,187,187,186,186,186,184,183,182,183,182,182,185,182,177,175,175,173,171,167,166,164,163,160,158,183,184,186,187,187,187,187,187,186,185,183,184,183,185,184,152,166,180,174,174,173,171,168,167,165,163,161,159,183,184,185,188,188,189,189,189,188,187,186,188,182,143,164,127,115,189,179,174,173,171,169,169,166,164,163,161,184,186,187,188,188,190,189,189,189,188,187,188,187,116,118,142,86,116,139,182,174,173,171,169,167,165,164,163,187,189,190,190,191,192,192,192,191,190,189,189,183,108,120,142,65,96,93,175,178,174,172,171,167,165,164,163,189,191,191,193,193,194,193,194,193,191,189,195,175,94,131,129,63,119,87,160,182,174,174,172,171,168,167,166,191,192,193,196,197,197,196,196,196,195,151,162,171,92,147,131,70,126,80,151,187,177,176,174,172,171,168,166,192,195,196,197,197,198,198,198,196,200,137,121,175,98,146,124,72,133,88,148,189,179,180,177,174,172,170,167,196,198,197,198,199,199,199,199,199,197,118,127,153,89,147,104,82,148,91,141,192,180,181,179,176,174,173,172,197,198,199,200,202,201,201,200,203,191,101,138,133,90,152,101,105,151,78,142,195,182,182,181,178,175,173,173,198,198,200,202,202,203,204,202,204,192,103,139,149,97,155,117,102,147,80,150,196,185,184,183,180,177,175,172,199,200,201,202,203,204,205,203,209,182,88,139,160,94,148,116,92,151,96,147,198,186,185,184,182,179,177,174,199,202,204,204,205,206,207,204,211,183,94,135,149,75,126,87,90,157,90,144,202,186,188,185,183,180,178,175,200,204,205,206,206,208,208,205,213,191,99,114,146,102,124,135,133,116,90,124,191,190,188,186,185,181,180,178,202,204,206,207,208,209,209,207,214,179,119,138,133,138,133,139,141,100,101,82,122,200,187,187,185,182,181,180,204,205,206,208,210,211,211,211,214,189,164,132,105,115,118,128,126,112,92,97,95,186,191,187,185,182,181,180,204,206,207,209,211,212,213,212,219,193,147,106,98,101,123,136,114,104,126,145,95,153,200,187,187,182,181,179,206,207,208,211,212,211,213,215,221,188,140,100,101,107,134,142,146,155,140,155,120,118,200,189,189,184,181,180,207,207,209,212,212,213,214,215,216,192,147,102,102,115,139,153,164,184,148,142,137,93,188,193,188,187,183,181,208,208,212,212,213,214,215,216,211,192,157,113,91,119,141,159,163,165,161,131,107,69,180,195,188,187,185,182,208,209,211,213,214,214,215,216,209,196,169,129,98,103,143,173,174,167,145,118,89,76,194,192,189,186,185,183,207,208,211,214,215,215,216,217,208,190,166,132,107,102,150,184,175,160,137,113,70,122,208,191,190,188,187,183,208,210,212,214,215,216,217,219,207,186,167,140,114,117,160,181,167,151,127,104,64,173,203,194,191,189,187,183,208,212,214,215,216,216,218,219,213,190,170,152,130,127,169,175,166,144,117,80,90,207,196,195,192,191,189,186,210,211,213,216,217,217,219,220,219,194,173,159,141,127,157,161,149,128,103,52,157,210,197,197,194,192,189,187,211,212,213,216,218,219,220,221,221,206,181,165,147,125,140,144,124,106,59,100,211,202,199,198,195,193,190,188,211,213,214,215,214,217,220,222,220,210,185,155,144,135,133,128,104,64,94,208,207,203,199,198,195,191,190,187,210,214,214,215,215,219,222,223,213,207,187,160,162,139,124,113,77,62,193,214,203,204,200,198,195,192,190,188
6,195,197,198,200,201,200,200,201,201,202,203,203,203,203,203,203,203,202,201,199,199,197,197,196,194,193,192,191,197,198,198,201,201,202,202,202,202,203,205,204,204,203,204,204,203,203,202,201,200,200,199,197,196,195,195,195,198,198,200,201,202,203,204,204,204,204,204,204,203,205,206,206,205,204,204,204,203,202,200,200,199,196,197,196,199,201,203,203,204,205,206,204,204,204,205,205,205,206,206,206,205,205,204,203,203,203,202,201,200,199,198,196,203,203,204,204,206,206,206,206,206,206,206,207,207,208,208,208,208,208,207,206,205,204,202,202,201,199,198,196,203,204,205,206,207,206,207,208,208,208,209,209,208,208,208,208,209,209,208,208,206,205,205,204,203,203,201,200,204,205,207,208,208,209,210,210,209,208,210,211,210,210,210,211,210,211,209,209,207,206,205,203,203,202,201,202,205,207,208,207,209,210,211,211,211,211,212,212,211,211,211,211,211,211,211,212,208,207,208,206,205,204,203,203,206,208,209,209,209,212,211,211,211,212,213,213,211,211,212,211,211,210,210,210,208,207,207,206,204,204,201,202,209,209,211,210,211,212,211,214,215,218,219,214,205,188,198,208,209,206,206,206,206,200,201,200,197,203,190,224,208,210,211,213,214,216,216,217,212,211,212,210,202,180,155,188,204,207,207,206,193,196,195,194,194,196,185,195,213,216,216,214,211,211,210,208,203,203,207,207,212,201,141,133,147,158,160,162,164,159,158,162,162,163,165,169,227,224,215,205,203,204,203,200,193,195,193,187,184,166,140,130,114,115,156,168,179,184,191,198,204,203,205,210,225,221,215,203,198,193,187,186,189,186,180,178,181,159,129,129,137,132,170,223,223,219,218,217,215,213,213,208,222,217,212,202,192,184,184,184,185,185,186,193,207,188,133,112,124,143,127,148,209,217,214,216,215,217,201,145,217,212,205,199,189,180,174,173,179,186,193,194,192,178,146,131,126,128,138,127,148,220,218,217,214,220,146,120,212,207,204,204,193,183,176,172,175,178,185,200,183,153,146,148,144,134,125,129,132,212,217,214,221,203,127,127,209,202,202,201,194,188,182,178,178,175,174,187,195,160,123,128,154,155,141,116,156,225,218,226,199,133,118,103,202,199,197,195,194,192,186,180,181,181,182,195,189,156,133,119,129,149,156,132,153,216,183,172,135,108,105,90,144,157,175,192,198,199,194,186,183,180,179,191,189,159,140,146,139,127,134,141,135,140,122,113,105,98,88,84,69,73,94,144,201,199,195,190,187,182,177,171,174,161,160,161,152,142,134,116,111,111,121,116,106,96,83,78,66,59,54,58,128,193,177,166,162,159,158,146,143,130,131,153,157,157,142,110,81,93,107,100,97,95,90,80,59,54,55,56,49,103,175,177,183,189,196,207,141,100,104,121,148,141,127,115,84,75,94,94,89,90,95,84,53,49,47,46,42,160,216,215,219,221,222,226,202,160,155,146,142,98,118,114,81,68,74,88,85,83,92,90,49,44,42,32,67,148,137,140,140,142,145,147,152,155,155,153,130,82,111,112,77,62,66,77,79,80,87,90,45,41,40,35,61,126,121,121,122,121,124,125,121,118,137,143,115,72,106,104,73,59,69,70,73,75,81,85,46,44,47,30,64,139,131,131,132,131,128,129,132,138,125,114,104,73,97,95,71,56,62,70,69,71,75,80,53,51,44,22,88,140,130,131,133,134,130,130,131,119,105,92,92,79,88,91,68,58,58,65,64,68,71,77
23,182,183,183,185,186,186,187,187,189,189,191,192,192,189,188,188,189,189,191,189,190,190,191,190,190,190,188,187,183,184,184,186,186,187,189,189,191,192,191,189,190,192,203,212,206,187,185,192,192,190,190,191,191,191,190,189,184,185,186,187,189,189,190,191,193,191,194,201,211,223,226,221,207,195,184,184,152,175,195,193,193,192,192,191,185,186,188,188,190,191,190,193,194,191,230,235,218,210,207,185,150,153,149,134,134,189,194,194,194,194,194,194,186,187,188,189,191,192,193,194,191,200,241,223,185,185,162,137,165,166,158,166,191,195,193,195,195,195,195,194,187,187,189,191,193,193,195,196,189,208,241,215,167,132,148,181,199,200,200,200,196,195,195,197,196,195,195,195,189,188,191,193,194,194,196,197,191,225,241,212,175,151,202,200,207,208,188,196,196,197,197,198,198,197,197,196,190,191,193,193,194,196,197,196,196,238,231,220,166,157,222,226,237,229,159,192,208,198,198,199,200,199,199,198,191,193,194,194,195,197,199,193,205,241,222,222,182,217,241,239,231,205,144,139,164,198,201,200,200,200,200,199,192,194,195,196,197,199,200,192,220,241,221,228,239,240,235,221,208,196,198,161,101,161,208,199,200,201,200,200,194,195,197,198,199,199,200,196,233,239,232,232,234,233,228,222,223,225,226,193,121,129,210,202,204,203,202,202,195,196,198,199,200,200,197,221,236,234,231,226,229,231,231,229,223,210,196,167,123,109,172,208,203,205,203,203,196,196,199,199,201,196,218,241,236,238,232,226,222,223,225,219,209,197,198,183,119,107,125,205,205,205,205,205,197,199,201,201,201,196,227,241,240,239,234,219,215,220,221,217,209,204,207,192,127,101,133,210,206,206,206,206,199,200,201,203,203,201,222,241,239,240,238,228,228,222,214,209,199,195,191,165,128,100,164,215,205,207,207,207,200,200,201,204,208,203,216,241,239,240,239,228,230,211,182,184,176,167,156,155,127,115,196,213,208,208,208,207,201,202,202,205,208,204,213,241,240,241,235,225,222,199,159,132,118,122,150,154,121,139,216,211,210,210,208,208,202,203,204,205,207,205,211,241,240,241,234,224,210,187,164,136,60,95,155,153,118,168,220,210,211,212,211,210,203,204,206,206,207,207,209,239,240,241,235,222,226,224,161,100,77,122,146,134,113,192,217,210,212,213,212,210,205,206,206,207,208,208,208,238,240,241,236,227,229,212,158,100,95,135,122,112,131,217,213,212,213,214,212,212,205,207,206,208,210,211,208,235,241,240,236,232,230,199,161,126,92,106,113,114,145,223,211,213,214,215,213,213,205,208,208,209,211,213,209,233,241,240,236,236,232,200,160,135,91,102,123,115,160,224,214,215,215,217,215,214,207,208,208,210,212,214,210,233,241,240,237,236,229,201,162,140,108,111,129,116,183,224,215,217,217,218,217,217,206,208,210,212,212,214,210,233,241,240,238,235,226,203,167,143,117,119,131,121,206,219,216,217,217,218,217,216,207,208,211,212,213,215,210,233,241,240,237,232,218,194,164,140,124,122,122,143,225,216,218,218,218,218,218,217,208,210,211,212,213,216,211,232,241,240,234,222,207,185,156,139,131,126,113,190,226,218,219,220,220,219,219,218,210,212,213,213,214,218,213,231,241,240,231,211,192,169,150,142,135,117,140,224,219,220,219,220,220,220,219,219,211,212,214,214,215,219,214,232,241,240,230,209,191,170,151,141,132,125,207,224,219,220,220,221,221,220,220,219
3,73,84,92,97,100,105,110,114,117,120,120,122,124,125,125,125,129,128,126,127,126,125,125,125,124,123,121,120,78,89,96,101,106,111,116,121,123,125,127,129,130,130,131,138,101,122,135,131,133,131,130,130,128,127,126,125,84,94,101,105,110,117,121,125,128,131,133,134,136,136,137,145,67,71,149,136,138,138,137,136,134,133,131,129,88,99,107,111,116,122,126,131,134,137,138,139,142,143,144,144,67,33,143,143,142,143,142,141,139,137,135,134,92,103,112,114,120,127,132,136,139,142,144,145,146,147,148,153,71,16,128,152,146,147,146,146,144,141,140,139,96,107,116,120,124,130,136,141,142,146,148,149,151,152,152,159,84,13,112,162,149,150,150,149,148,146,145,144,100,110,118,122,128,134,139,145,148,150,151,153,156,156,154,177,109,17,90,169,155,156,156,154,151,150,148,147,103,113,121,126,132,137,143,147,151,154,155,157,157,159,143,148,94,9,73,171,157,160,160,158,156,154,153,152,107,118,125,130,135,141,146,151,153,156,159,163,163,191,159,94,44,25,63,171,162,162,163,162,161,159,157,156,111,120,128,133,139,145,150,155,156,160,164,151,120,171,190,127,34,93,78,159,170,166,166,166,165,164,161,159,113,122,129,134,142,147,152,156,161,159,180,170,124,114,200,140,96,151,41,121,181,169,170,168,167,166,164,162,116,125,132,137,145,150,154,160,164,139,133,185,171,108,162,137,110,125,25,51,181,172,172,171,171,168,167,166,118,127,135,140,146,151,157,161,175,166,130,120,178,121,127,134,77,124,68,23,115,186,171,173,172,173,171,169,120,130,137,142,149,153,160,166,163,180,170,95,111,144,91,137,77,100,108,51,54,185,174,175,174,173,171,171,122,131,139,143,151,156,162,169,155,105,134,71,42,116,48,137,136,57,105,64,52,182,178,178,177,176,176,174,123,132,140,145,151,158,163,169,168,98,104,74,24,89,54,53,54,5,83,71,47,181,181,179,179,177,177,175,125,133,141,147,153,159,165,169,179,144,82,72,42,67,118,40,0,28,115,82,32,163,188,180,180,179,179,178,124,132,139,147,154,159,166,170,174,130,71,49,31,14,73,52,34,83,134,84,25,144,195,181,181,182,181,180,125,132,139,146,154,159,165,168,174,159,109,59,32,19,35,108,126,130,107,66,34,158,191,181,182,182,182,181,126,134,141,147,154,160,165,168,179,171,119,68,58,67,82,175,183,147,101,44,51,182,185,181,182,183,179,175,128,137,144,149,155,160,166,169,175,172,137,94,78,70,98,178,172,128,92,39,78,197,189,184,188,160,138,172,121,131,139,147,155,162,169,175,179,171,143,106,80,74,92,168,164,115,76,31,106,189,163,167,165,117,113,174,53,55,60,66,72,77,81,89,94,151,147,109,95,96,79,157,154,105,61,30,99,161,130,112,155,76,122,161,48,50,52,54,52,52,53,55,45,101,153,121,106,103,70,129,136,89,48,40,132,122,137,106,119,61,144,148,51,53,54,57,58,59,64,66,58,76,156,128,104,96,59,86,106,57,34,89,140,111,117,125,74,73,154,142,51,53,54,54,58,58,57,61,51,122,185,128,98,80,49,61,64,40,49,116,131,111,112,114,61,109,143,143,50,52,55,54,57,58,58,60,53,152,182,125,96,68,54,56,51,27,97,113,95,112,105,94,92,119,138,143,49,51,55,54,54,56,58,56,62,154,165,125,99,82,64,51,40,29,133,117,56,103,106,95,114,110,149,138
8,178,178,179,179,179,178,180,178,178,177,179,156,161,178,175,174,174,174,172,171,170,170,169,168,167,166,164,163,178,178,179,180,180,180,180,179,179,179,183,138,130,183,175,176,176,176,173,172,171,171,170,169,167,167,166,163,179,180,181,181,181,181,181,183,179,186,179,117,127,184,176,178,178,177,175,174,173,172,171,171,169,167,166,165,180,181,182,184,183,182,184,184,180,191,173,102,144,186,177,178,178,177,177,176,174,173,173,172,171,169,167,166,182,183,183,185,186,184,184,185,181,199,172,108,156,186,180,180,179,178,177,176,175,175,174,173,172,170,168,168,183,184,184,185,186,185,185,185,183,203,156,106,164,186,180,183,181,178,178,177,176,176,175,174,172,171,170,169,184,185,186,184,185,186,186,186,186,200,149,110,170,187,180,149,171,187,181,177,177,177,176,175,174,173,172,169,185,186,187,186,186,186,188,186,191,201,160,141,169,189,190,146,128,158,170,183,177,178,176,175,174,174,173,169,186,186,187,187,187,188,188,184,194,195,171,157,174,182,191,181,145,125,117,137,184,172,181,177,174,173,173,171,187,188,187,188,188,189,190,186,194,191,180,164,191,184,173,194,174,172,141,90,127,126,124,175,178,174,174,172,187,188,189,189,189,190,191,187,205,181,171,180,192,180,147,163,178,164,145,96,69,86,72,126,185,175,176,173,189,189,190,190,191,192,191,194,192,166,173,167,181,165,137,99,169,175,148,105,70,77,77,97,184,176,176,174,189,190,191,192,192,193,190,205,182,152,149,154,179,146,121,66,133,196,153,111,73,91,75,117,186,175,175,175,190,191,192,192,193,191,197,213,191,165,128,132,168,131,99,80,135,203,159,116,72,73,79,170,182,177,177,176,191,191,192,194,194,191,212,210,187,162,139,130,172,163,160,185,173,178,153,119,78,58,149,187,178,178,177,176,191,193,193,194,194,195,218,200,183,166,153,128,145,202,198,180,179,147,140,124,76,126,192,181,181,180,179,177,192,194,194,194,194,203,216,194,185,164,135,135,183,203,182,160,182,133,127,120,74,171,188,183,181,180,180,179,192,194,195,195,193,211,214,193,187,157,138,179,207,192,175,153,168,131,108,95,88,189,185,184,184,181,179,179,194,195,196,197,196,212,212,198,187,154,170,196,201,183,169,146,149,128,96,70,132,198,184,186,184,182,181,180,195,195,197,194,193,217,208,197,179,159,169,190,182,170,154,137,139,108,82,68,175,192,187,186,185,184,183,181,196,194,207,147,92,177,202,181,163,156,163,173,172,158,143,135,118,91,62,105,197,187,189,186,186,184,182,180,194,200,180,92,80,82,144,174,159,157,157,167,170,148,132,113,90,76,64,170,193,189,189,186,186,185,184,181,195,205,118,78,85,81,77,127,162,166,151,164,159,130,111,91,83,58,132,200,189,191,189,186,186,185,184,183,207,156,82,84,78,79,78,53,82,104,119,151,140,101,87,82,59,108,198,191,192,191,189,187,187,186,184,182,182,93,81,81,77,73,82,59,47,59,60,80,90,79,70,56,120,196,193,191,191,191,189,189,186,185,185,182,107,80,82,78,73,71,80,64,38,59,56,47,46,52,42,138,211,191,191,191,190,191,189,187,186,184,184,182,79,75,73,75,72,66,78,59,32,53,53,46,46,42,38,84,164,197,191,192,191,191,189,187,186,185,183,180,83,72,55,98,86,58,77,44,34,49,48,42,42,43,44,24,107,205,191,192,192,191,190,188,186,186,184,181
21,152,154,155,156,155,155,156,157,157,157,158,159,156,151,158,157,157,158,156,155,155,154,154,152,154,85,24,20,155,156,157,157,158,158,159,159,160,160,159,161,172,117,149,162,159,159,159,158,160,156,155,158,137,72,35,26,157,158,159,161,161,161,161,161,162,161,161,163,177,108,135,168,161,161,163,153,139,161,158,161,135,51,36,39,159,160,161,161,163,164,164,163,164,164,164,166,178,109,122,172,164,163,169,156,97,160,160,162,141,65,45,55,161,161,163,164,165,165,165,166,166,166,166,168,183,116,114,173,165,164,175,152,92,162,163,161,164,84,44,53,162,163,165,166,166,167,167,167,167,167,167,168,190,131,113,174,168,166,178,145,96,163,166,163,167,115,46,46,164,165,166,168,168,169,169,169,169,170,170,169,193,141,112,172,171,169,182,143,102,165,167,164,168,151,54,36,165,167,168,169,170,170,170,171,171,171,171,169,192,151,114,164,175,171,188,148,107,169,168,168,166,170,77,37,167,169,169,170,171,172,171,172,172,171,174,170,196,166,121,152,178,174,189,147,107,171,170,169,167,172,127,123,168,170,170,172,172,172,173,174,173,173,175,172,196,178,124,147,180,179,194,144,106,174,171,171,169,171,128,162,169,171,172,173,173,174,175,175,175,175,177,166,173,185,119,146,181,185,189,134,112,179,173,172,171,170,145,169,170,171,172,174,175,175,176,176,177,175,192,172,143,155,133,129,181,188,175,124,123,182,173,174,173,173,165,130,171,172,174,174,175,176,176,176,177,176,199,194,167,125,156,91,152,184,165,115,137,185,175,175,175,175,169,123,171,173,174,175,176,176,176,177,177,180,178,200,188,154,161,100,91,142,142,104,154,183,176,176,175,175,173,156,172,173,174,176,176,177,177,178,177,181,159,152,197,159,153,140,105,94,110,87,160,183,177,177,176,176,176,172,173,174,175,177,177,177,178,179,179,176,184,155,174,164,127,161,147,100,84,80,155,186,178,178,177,176,176,175,173,173,174,175,176,177,178,178,181,182,200,168,114,153,116,139,155,115,79,74,156,186,179,178,177,177,176,175,172,174,174,174,176,177,177,177,192,196,185,135,87,103,146,116,146,138,96,69,159,184,178,178,178,177,176,175,172,174,175,175,176,177,177,182,198,170,152,143,107,66,117,87,129,168,116,76,169,183,178,178,177,176,176,175,173,175,176,176,176,178,179,181,194,167,142,152,115,79,60,110,150,182,143,88,141,186,179,179,177,176,176,175,172,174,175,175,175,177,178,178,190,176,156,148,140,96,83,181,171,175,158,112,101,185,180,179,178,177,176,176,178,180,181,182,181,182,184,185,191,191,162,116,142,110,130,201,182,167,147,118,113,185,180,180,178,177,177,177,130,133,137,139,142,146,150,152,192,193,160,112,138,126,172,203,174,160,133,94,125,191,183,185,184,181,177,175,87,88,90,89,89,89,89,89,184,197,155,131,147,137,198,195,171,153,128,91,100,118,114,114,120,130,153,170,96,97,96,96,95,96,97,91,170,195,158,151,160,145,205,194,169,146,116,93,87,90,105,129,151,170,183,191,95,95,94,95,96,96,98,88,141,197,175,173,169,134,190,186,154,133,101,90,151,166,173,185,187,182,183,194,94,95,94,95,96,95,96,94,106,185,186,176,165,132,162,174,133,108,87,98,189,186,164,156,170,178,176,182,94,94,94,95,96,95,95,98,91,169,182,161,145,123,129,152,116,94,83,113,148,159,177,144,142,159,172,180
13,175,177,178,179,180,181,182,182,181,181,181,181,182,181,180,179,179,178,176,176,174,173,173,171,171,171,170,168,178,179,179,181,182,183,184,185,184,183,182,182,183,182,182,180,179,178,178,178,176,175,174,173,172,171,171,170,179,181,182,182,184,185,185,187,187,185,184,183,184,182,183,182,180,180,180,180,178,178,176,175,174,173,172,172,181,183,184,185,186,187,186,186,186,186,187,185,184,185,186,184,184,186,184,181,180,178,178,178,177,176,174,173,182,184,185,186,187,188,188,187,187,186,187,187,187,187,185,184,167,156,181,183,180,188,180,178,178,179,177,175,183,186,188,188,189,188,190,190,190,193,190,190,185,186,190,183,140,83,102,179,145,137,178,183,179,180,179,176,186,186,189,189,191,193,190,196,181,157,190,196,158,132,181,170,134,89,59,130,127,73,106,188,180,180,180,178,186,188,191,193,192,192,197,207,182,114,129,188,155,105,160,178,129,100,59,116,121,94,64,157,189,180,180,179,189,190,193,194,195,191,223,213,182,126,126,183,145,112,179,207,143,100,71,147,133,104,51,146,193,181,181,181,190,193,194,194,195,195,231,217,187,127,138,188,140,106,210,212,137,89,110,183,130,87,55,160,191,184,182,182,192,194,196,196,193,218,230,202,189,119,132,184,146,91,149,180,106,79,92,123,88,59,65,180,189,185,185,185,193,195,197,195,206,228,201,173,144,90,128,178,137,94,43,76,107,100,88,87,93,62,96,197,187,188,187,186,194,196,197,194,223,227,185,138,102,71,121,142,115,70,22,37,86,83,107,131,132,97,112,201,188,190,189,187,196,197,198,198,239,235,212,165,128,66,100,113,89,88,118,159,163,154,157,142,151,130,89,184,194,191,190,189,196,199,198,209,244,230,213,199,169,108,105,148,167,200,207,197,188,177,167,129,117,113,78,151,203,192,193,191,199,201,198,215,243,229,217,204,173,157,163,198,213,204,196,188,181,165,152,131,107,110,83,124,206,193,194,192,201,202,198,219,241,230,218,204,180,179,191,204,213,200,193,188,178,161,142,130,114,106,82,104,206,194,194,193,201,201,198,220,238,227,218,201,183,181,191,201,214,202,194,188,168,147,135,122,102,97,62,132,206,194,194,194,202,202,199,214,235,226,214,192,174,171,185,194,199,195,189,175,153,138,124,105,92,59,101,203,196,196,196,195,200,206,214,212,222,215,193,172,163,179,186,188,181,184,178,161,146,127,106,89,58,67,192,203,199,198,197,196,210,183,133,198,212,198,187,179,172,184,190,181,170,162,155,137,117,98,79,51,74,182,206,199,200,199,198,196,210,125,49,103,217,212,208,204,183,172,186,172,146,131,134,114,93,65,71,130,198,207,202,202,200,200,199,197,154,81,90,67,117,205,213,204,181,159,169,153,123,112,111,84,53,102,193,215,205,202,205,202,202,201,200,199,99,78,79,81,65,98,155,153,149,146,161,134,108,99,80,53,141,213,210,203,206,206,204,204,203,202,201,200,88,79,73,74,83,33,42,61,60,64,80,81,77,70,47,149,225,208,206,208,207,207,204,205,204,203,201,200,81,73,72,69,80,58,18,51,49,41,35,34,35,37,35,167,213,211,209,209,208,206,205,206,206,203,203,201,77,74,69,65,75,66,11,36,45,38,37,35,32,27,6,51,214,210,208,209,208,206,205,206,205,203,202,200,76,71,69,58,70,61,8,26,38,34,35,30,32,24,3,146,220,206,209,208,207,206,205,204,203,202,200,200
1,63,91,96,105,117,138,151,163,169,173,177,179,182,188,193,193,196,202,200,201,204,205,205,207,208,208,209,209,70,91,97,107,118,143,154,163,170,175,179,181,184,190,190,210,176,159,209,206,204,207,208,209,209,209,209,209,76,92,99,108,120,144,156,164,171,176,181,183,189,192,194,225,160,119,185,180,210,208,210,210,211,211,211,211,82,93,101,110,124,147,156,166,173,178,182,184,188,201,177,217,158,144,177,132,213,209,211,212,213,212,211,212,85,93,102,111,126,149,159,168,173,179,184,185,191,215,150,208,152,156,192,127,204,213,213,214,214,213,214,214,87,95,102,112,129,152,162,169,176,181,185,182,205,205,148,216,155,160,196,122,196,218,213,215,216,216,216,215,89,97,103,113,132,154,162,171,176,182,187,185,213,193,139,210,150,161,204,129,194,221,216,218,217,218,218,218,92,97,105,116,135,155,164,173,178,180,204,180,190,182,142,214,151,159,195,126,192,224,218,220,219,220,220,219,91,97,106,117,138,154,165,174,179,183,217,147,190,165,168,222,144,163,208,125,190,225,219,221,221,221,222,221,93,99,108,118,142,155,165,176,176,197,211,129,195,149,194,216,134,183,224,128,191,227,221,222,223,223,224,224,94,99,109,121,145,157,166,177,174,218,190,133,212,149,180,187,116,189,207,126,197,229,223,224,225,225,225,225,95,101,111,123,145,158,168,177,179,229,168,133,200,123,168,165,110,204,196,120,204,229,225,225,226,226,226,226,95,103,112,124,147,159,170,174,190,234,157,123,181,169,171,180,197,208,187,119,209,229,227,228,227,227,227,227,98,104,113,127,150,159,172,171,209,226,152,142,190,219,169,186,198,191,173,117,213,230,228,229,228,228,228,228,98,105,114,130,152,161,172,171,225,226,204,193,214,215,206,192,172,165,149,115,212,231,227,229,231,231,231,231,98,105,114,131,153,163,171,180,241,207,191,194,185,173,222,225,208,175,142,112,213,232,229,231,232,232,232,232,100,108,115,132,153,165,166,206,241,184,157,149,130,128,214,216,210,192,158,111,214,232,229,232,232,233,234,233,101,108,116,136,156,166,165,224,230,177,173,180,163,203,233,220,193,172,145,96,197,239,231,234,234,234,236,234,100,109,117,139,158,166,166,229,235,195,175,179,210,255,239,208,183,142,125,91,158,245,232,235,235,235,236,235,100,109,117,139,156,167,169,225,250,212,188,180,217,255,244,203,175,134,109,93,140,245,232,236,237,236,236,236,102,110,118,140,155,166,170,217,251,211,195,185,211,255,233,202,164,133,106,87,169,246,233,238,237,237,238,238,103,112,121,143,157,169,172,207,246,210,203,188,196,241,224,191,154,129,106,101,221,241,237,238,239,240,240,240,103,111,122,144,158,168,175,196,240,218,214,200,214,234,202,171,142,123,94,151,246,237,240,240,241,241,241,241,103,112,122,146,157,168,178,186,223,219,212,196,212,218,184,156,135,117,94,201,244,239,240,241,242,243,243,242,105,112,123,147,159,171,179,183,210,215,207,192,182,188,173,148,137,111,106,227,242,241,242,244,244,244,243,244,104,110,121,144,156,169,178,181,196,212,204,191,181,182,179,161,137,102,124,239,237,239,241,243,244,243,243,242,102,108,121,144,153,166,177,183,198,218,213,202,193,181,179,165,132,96,153,245,234,238,241,241,242,243,243,242,101,107,121,143,153,167,177,181,233,218,208,214,195,178,157,147,127,87,156,247,234,238,241,243,242,243,244,243
14,125,130,133,136,137,140,142,143,144,147,146,148,148,147,147,147,147,145,145,145,145,144,143,141,140,139,138,137,127,132,135,138,140,142,143,144,146,148,149,150,150,149,149,147,150,151,150,146,144,146,146,143,142,142,140,140,129,134,137,140,142,144,145,147,149,151,151,150,151,151,151,151,129,134,148,149,149,145,145,144,144,142,142,142,130,136,139,142,143,145,147,150,150,150,151,152,152,151,150,137,129,115,120,113,136,156,145,143,145,143,144,144,131,137,141,142,145,148,150,151,152,153,154,154,152,165,165,155,145,128,100,80,77,106,149,151,144,145,144,145,133,137,142,145,147,149,151,153,154,155,157,152,162,183,152,126,164,137,103,60,45,44,63,132,154,144,146,145,134,139,144,146,148,150,151,153,155,157,156,163,179,177,130,49,101,89,125,84,28,52,25,31,128,154,145,147,135,140,144,147,149,153,153,155,157,158,159,177,160,118,85,43,29,48,133,112,51,49,51,28,39,151,150,149,136,141,145,148,151,153,155,157,158,163,173,187,138,74,40,24,22,22,94,127,77,54,72,56,33,102,159,147,137,141,147,149,153,154,157,160,158,173,188,185,148,102,61,41,32,24,30,84,95,54,62,51,59,52,144,154,139,142,147,150,153,156,158,159,162,180,192,174,126,90,60,38,38,30,86,141,160,137,85,56,57,38,96,160,140,144,148,151,154,157,159,158,169,192,187,140,84,49,40,32,23,65,171,165,159,166,165,98,58,62,86,160,141,146,150,152,156,158,162,155,178,192,175,151,105,53,32,17,45,163,170,160,162,162,159,88,98,58,91,165,142,148,151,155,158,159,160,162,191,184,163,154,109,69,36,10,19,60,137,170,159,172,130,86,101,51,63,166,144,150,152,155,159,164,155,181,195,175,161,155,102,73,27,15,22,22,39,142,178,141,69,84,92,56,33,135,145,150,154,157,160,160,164,196,184,162,168,150,105,76,26,20,34,43,42,53,90,61,73,91,77,55,26,122,145,150,156,158,163,157,181,196,181,168,168,143,108,70,26,35,55,56,56,52,39,58,76,89,76,35,89,164,146,151,156,159,161,163,197,194,182,166,155,141,104,58,32,51,68,69,67,66,57,58,79,71,45,98,167,162,148,152,157,160,160,175,201,190,175,157,145,134,91,59,42,63,72,74,71,65,63,58,60,46,117,172,163,163,150,154,158,161,160,190,199,182,165,151,135,119,84,61,53,66,77,72,70,57,63,42,38,132,177,163,165,165,151,155,158,161,163,199,193,175,161,142,126,112,83,67,54,65,78,68,63,54,41,72,146,176,167,168,166,165,152,156,161,161,172,205,188,169,153,137,118,101,90,64,54,60,68,66,55,38,118,177,175,169,171,169,167,166,153,157,162,160,189,202,182,156,130,123,114,101,72,54,56,55,60,46,41,125,184,172,171,172,171,169,169,167,153,157,159,174,203,190,172,140,138,129,97,72,50,56,60,41,50,82,150,183,173,174,173,172,171,170,170,169,155,163,155,176,195,181,168,147,136,105,89,69,55,54,43,93,160,183,183,176,177,176,173,172,171,171,170,169,148,152,141,178,190,181,162,146,120,86,81,63,55,33,94,194,185,179,179,178,177,176,175,174,172,172,171,170,45,0,77,195,184,174,156,135,102,76,71,59,44,48,165,183,179,181,180,178,178,176,177,176,174,173,172,170,34,2,56,168,181,166,152,124,86,67,61,52,26,114,188,179,181,180,180,179,179,178,178,176,174,173,172,171
6,130,131,134,135,137,140,141,142,145,147,148,148,150,149,150,152,152,152,152,151,152,153,153,154,155,154,154,153,131,133,134,135,137,140,142,144,146,147,147,148,150,149,151,153,152,153,153,153,153,153,154,153,154,155,154,153,132,133,134,136,138,141,142,143,145,145,147,148,151,151,151,152,152,151,153,153,151,153,153,153,154,154,155,154,132,133,135,137,140,141,142,145,146,147,149,150,152,153,153,152,154,155,155,154,153,153,155,153,154,158,155,153,134,135,137,140,141,142,144,147,148,148,150,152,152,151,148,140,127,130,140,134,133,130,114,140,147,142,156,155,135,136,138,141,142,143,146,147,148,148,150,152,153,151,148,134,109,113,126,128,121,117,105,115,133,107,155,156,135,135,137,141,143,144,147,147,148,149,156,160,157,153,140,120,108,97,95,99,93,94,93,91,93,122,160,156,136,138,139,141,143,145,148,151,152,156,153,145,135,120,101,85,83,94,97,102,115,123,129,135,144,160,157,158,137,139,141,143,143,148,156,146,136,133,132,127,126,119,109,91,101,131,145,163,163,166,166,163,161,159,159,158,139,141,141,144,142,167,165,131,114,114,119,124,131,132,129,124,117,111,97,152,164,161,161,160,161,161,161,160,140,141,142,145,144,179,155,128,127,120,116,110,111,115,115,110,104,102,75,137,169,161,163,163,163,163,162,162,140,141,145,147,146,179,149,142,151,131,118,119,117,123,125,119,104,95,85,151,168,164,164,164,164,164,164,163,141,141,144,146,151,179,166,175,161,131,113,114,115,118,119,116,112,108,93,124,174,165,165,165,166,166,165,164,141,142,146,145,157,180,176,174,159,145,136,119,102,91,100,104,100,95,89,72,138,172,166,166,166,166,167,166,142,143,147,144,164,180,174,169,169,167,153,128,112,108,117,114,98,88,88,60,94,176,167,167,167,167,168,167,143,144,148,144,172,182,177,176,177,164,152,137,119,112,117,112,105,95,99,69,117,176,166,168,167,169,169,168,143,145,147,147,177,181,176,177,175,164,153,131,119,118,115,113,108,103,91,108,169,169,169,168,168,170,170,168,143,145,146,150,181,177,176,175,173,160,138,128,121,119,108,104,107,103,86,153,174,168,169,169,168,170,170,169,145,147,147,153,184,177,175,174,168,139,131,132,122,105,95,63,84,92,97,169,169,170,170,171,171,172,171,169,145,148,146,158,180,173,173,171,156,129,125,130,120,88,60,48,70,81,137,175,168,170,171,172,172,171,170,169,146,148,144,164,175,169,170,162,140,121,130,127,106,92,63,70,103,136,172,171,172,172,172,172,172,171,172,170,147,149,146,170,172,164,165,153,134,123,135,124,104,89,69,91,176,175,171,172,172,172,173,172,172,172,173,171,147,151,147,170,167,166,159,145,131,135,142,120,103,88,69,115,181,170,173,173,174,174,173,173,172,173,173,172,147,150,145,166,167,158,146,142,129,140,135,113,98,85,77,156,177,173,173,174,175,174,173,174,174,174,173,172,148,150,146,160,161,154,144,132,129,141,124,106,95,76,120,179,172,175,174,175,175,175,175,175,175,173,172,172,148,150,142,166,166,152,145,126,133,135,117,105,84,99,174,175,174,176,176,175,176,175,175,175,174,173,174,173,148,145,144,170,160,149,140,127,133,126,108,98,77,146,182,175,177,177,177,176,175,176,176,175,174,174,175,173,150,143,147,163,153,136,129,130,125,117,101,89,81,161,177,176,177,177,178,177,177,178,176,176,175,174,174,174
18,155,156,158,157,158,158,159,159,159,159,159,158,157,156,156,156,154,155,154,154,152,151,151,149,148,147,146,145,157,158,158,158,159,161,161,161,161,162,161,159,158,157,156,156,156,157,156,154,153,152,151,151,149,148,147,146,157,158,159,159,160,162,162,162,162,162,162,161,161,162,163,160,159,160,161,160,154,154,154,152,150,148,147,146,159,159,160,161,163,163,162,163,164,163,163,162,164,152,132,153,164,139,116,131,161,156,146,153,154,149,149,148,159,160,162,163,163,163,164,165,165,165,166,167,166,137,98,91,135,129,97,69,130,133,102,95,141,154,150,151,160,161,163,164,164,165,166,165,166,161,135,137,163,142,115,87,94,157,105,87,71,108,102,70,86,160,151,151,161,162,163,165,165,165,167,165,169,161,126,109,113,153,122,98,82,147,112,97,91,88,98,85,57,139,156,150,164,165,164,166,167,167,167,168,171,166,147,133,102,118,140,102,78,107,125,110,104,97,112,98,56,132,159,152,164,165,165,166,167,169,170,169,169,154,160,133,118,84,125,110,86,83,128,119,108,107,106,93,56,136,160,154,164,165,165,166,167,169,170,170,176,133,131,135,108,63,101,116,85,69,114,108,104,103,104,94,54,126,163,154,165,165,166,168,169,170,170,173,169,114,90,135,84,54,86,95,68,57,99,76,89,131,125,100,60,111,166,155,164,166,168,169,170,171,170,175,166,133,105,125,85,58,77,77,60,51,77,60,70,150,131,108,68,94,167,155,166,168,168,169,170,171,170,175,171,153,119,112,101,66,74,86,65,49,76,62,51,127,138,116,81,75,165,157,168,168,169,170,170,171,170,176,171,143,116,94,84,56,76,94,61,49,69,98,133,133,153,127,89,60,153,161,168,169,170,171,171,172,171,176,158,126,107,90,71,58,61,66,55,61,94,146,152,140,136,125,88,54,141,165,169,169,171,171,171,174,173,176,168,148,125,103,82,79,73,72,91,117,147,156,148,143,121,105,79,54,147,163,169,169,171,172,172,175,174,175,173,155,131,104,82,78,85,100,123,144,162,161,143,129,112,88,63,71,166,161,170,170,170,172,174,175,175,176,174,159,137,113,95,88,88,98,139,157,167,157,134,120,105,82,46,109,171,159,171,171,172,173,175,175,176,176,173,163,142,121,104,97,91,108,155,163,162,149,128,112,99,73,50,150,167,161,170,173,173,173,175,175,177,174,169,160,141,123,111,103,97,116,162,157,152,142,124,105,92,59,75,171,163,163,170,173,173,174,175,175,177,175,162,152,143,126,114,113,102,122,158,154,144,129,118,100,84,47,113,175,163,164,171,173,174,175,175,176,177,177,164,153,145,131,121,122,106,127,151,150,139,118,107,92,72,49,152,168,164,164,173,174,175,176,178,178,178,180,172,151,145,137,127,120,103,123,147,141,133,114,95,83,52,82,176,164,165,165,173,174,175,177,178,178,179,180,177,157,150,143,131,118,103,111,138,132,120,103,85,72,43,141,174,167,166,165,174,175,176,177,178,178,179,180,180,168,155,144,135,126,113,108,124,124,110,93,80,50,79,178,168,168,167,166,173,174,176,178,178,179,179,179,179,175,163,148,133,122,115,109,117,119,104,88,69,41,143,176,169,168,167,166,175,175,176,177,178,180,179,179,178,177,166,145,133,129,127,123,114,113,98,83,52,84,179,169,170,169,169,167,176,176,177,178,178,179,179,181,177,176,166,148,144,141,130,122,109,108,92,74,48,135,179,171,170,170,169,168
13,160,163,164,165,166,166,168,170,170,169,169,170,170,171,172,171,170,172,171,171,170,171,170,171,171,171,171,171,162,163,165,166,168,169,170,170,170,171,171,170,171,171,166,172,175,172,172,172,172,172,174,173,173,173,172,171,164,165,167,168,169,170,171,170,171,173,177,174,176,172,137,110,161,177,172,172,174,174,175,175,175,175,174,174,164,166,169,169,170,172,172,172,173,170,157,162,185,175,141,81,132,187,175,179,175,176,176,176,176,176,176,176,165,168,169,170,172,174,175,172,187,173,131,112,162,173,140,87,117,132,120,150,180,176,177,176,175,176,176,176,166,168,170,172,173,175,175,170,193,187,149,109,156,176,131,84,100,144,106,74,163,183,178,178,177,177,177,178,168,168,171,173,173,173,177,151,118,146,165,113,150,174,123,78,152,161,118,70,130,190,179,180,180,181,180,180,169,171,173,175,173,180,185,151,119,93,152,112,143,191,123,101,167,142,113,72,134,189,179,181,181,182,182,181,171,174,175,174,181,181,180,166,135,93,130,123,119,166,111,104,172,147,107,66,152,189,180,182,183,182,182,182,172,175,176,176,186,156,165,171,132,92,104,137,85,60,64,112,183,151,94,73,169,185,182,183,182,183,183,182,173,175,175,181,185,161,144,161,135,88,88,130,96,30,71,140,145,103,67,87,184,184,183,184,182,184,184,183,175,176,177,189,181,157,128,164,131,90,83,116,100,47,65,149,159,127,86,122,196,184,186,185,185,184,185,184,175,176,177,194,184,158,120,154,126,90,78,116,106,78,150,150,147,142,121,100,184,186,186,186,186,185,185,186,176,177,179,195,177,151,117,134,129,97,77,148,126,124,181,162,141,120,107,81,154,195,187,187,186,186,186,186,177,177,181,194,178,158,140,121,125,123,64,135,149,172,173,156,137,108,95,82,164,193,187,188,188,187,187,186,177,178,184,195,179,163,149,126,104,93,75,153,182,187,170,148,129,104,89,92,184,189,188,189,189,188,188,188,177,177,184,195,179,162,150,144,116,106,123,185,186,186,162,139,119,99,84,113,195,188,190,189,190,189,188,189,178,178,183,190,180,165,155,151,125,116,119,176,186,176,147,126,109,93,81,155,198,190,192,190,190,189,189,190,179,179,180,183,181,169,158,154,134,114,120,178,184,163,138,118,103,84,111,194,192,193,192,191,191,191,191,191,178,179,179,183,184,170,158,154,138,117,131,166,176,149,132,110,97,78,159,198,190,193,192,192,191,191,191,190,177,179,180,184,184,171,157,150,137,116,137,160,154,135,122,104,90,95,188,191,190,192,191,191,191,191,191,191,177,180,179,185,183,164,153,142,124,115,143,146,133,126,112,100,80,140,198,190,191,191,191,191,191,191,190,191,178,180,175,186,178,157,151,132,119,121,145,134,125,120,105,90,103,187,191,191,191,192,192,192,192,191,191,192,178,177,174,194,172,160,151,131,127,135,147,130,124,108,97,87,166,195,190,192,191,192,192,192,192,192,192,191,178,174,180,198,175,169,154,132,136,145,135,121,114,97,81,133,194,190,191,191,191,192,192,192,193,192,192,192,179,173,182,186,171,172,157,138,143,140,125,112,100,86,92,182,192,191,191,191,191,193,193,193,193,192,191,192,181,169,181,175,160,161,151,135,135,136,118,98,96,75,139,195,191,192,191,192,192,192,193,193,193,193,193,193,137,151,185,169,154,140,135,126,133,140,106,95,91,79,160,186,185,188,190,191,192,192,194,194,192,194,191,185
21,105,114,121,124,127,134,140,144,148,151,152,155,157,159,158,159,160,158,157,157,158,157,157,155,153,152,152,150,107,116,123,126,130,136,142,146,150,154,155,157,159,160,163,161,161,160,160,159,159,159,159,156,154,152,152,152,110,120,125,128,133,140,144,148,153,156,159,160,160,160,162,166,163,163,164,163,161,161,160,158,156,154,153,153,110,120,126,129,133,140,145,151,155,157,160,162,160,183,141,127,171,164,165,165,164,163,162,161,159,158,156,154,111,122,128,129,135,142,148,152,155,159,162,163,162,198,153,86,162,170,167,167,166,166,165,162,165,161,158,156,114,124,130,130,137,144,150,153,158,161,163,166,162,192,176,95,139,177,167,168,169,167,170,154,118,160,161,159,115,125,130,132,139,146,152,155,160,163,166,169,167,182,205,133,123,180,170,170,170,168,178,149,74,145,167,161,117,127,132,135,141,148,155,158,161,165,168,171,170,179,218,157,104,175,174,173,171,173,175,141,82,151,168,163,119,129,134,136,143,151,156,159,162,167,169,173,173,176,212,164,99,158,180,175,172,184,179,124,87,172,167,166,121,130,135,138,145,152,157,161,166,169,171,175,176,175,214,179,108,139,186,176,175,191,175,108,108,180,168,167,121,130,136,139,147,153,159,164,167,170,172,176,178,173,212,199,124,130,187,174,183,184,146,85,140,180,170,169,122,132,137,140,148,154,160,164,168,171,175,177,179,175,199,199,120,125,189,179,197,184,133,73,166,177,171,170,124,135,139,142,149,157,162,167,170,174,176,178,182,181,198,196,103,104,188,182,196,177,110,102,184,173,174,173,126,136,140,144,151,158,164,168,171,175,177,180,182,145,143,203,111,126,165,177,171,143,75,141,187,174,176,175,125,137,143,146,152,160,166,170,173,176,178,189,197,135,101,153,126,122,158,171,167,104,75,180,179,178,177,177,126,137,145,146,154,162,168,171,175,178,180,172,194,142,130,106,128,122,108,150,154,78,130,193,179,180,179,177,128,139,144,147,156,163,169,173,176,181,200,141,137,152,154,146,158,128,50,88,120,60,148,192,182,182,182,179,128,140,145,149,157,164,170,175,175,198,214,177,104,141,152,142,142,113,84,52,59,55,159,191,182,184,183,181,130,142,146,150,157,164,171,176,177,198,214,188,110,105,141,81,104,126,110,79,47,46,172,191,184,185,184,182,131,142,147,152,159,166,173,178,177,210,203,173,128,88,147,126,64,137,133,99,72,35,140,200,185,186,184,183,131,143,149,152,161,168,174,178,180,210,194,177,131,59,140,212,90,121,169,110,88,49,95,204,187,188,186,185,133,145,147,152,161,169,175,181,179,210,227,194,118,101,95,144,85,152,157,116,92,57,89,204,187,190,187,185,135,144,147,153,162,169,176,183,180,206,227,208,142,161,75,107,177,158,143,98,89,46,104,206,188,191,189,187,134,146,150,154,163,170,176,182,183,199,230,193,160,135,98,164,192,133,134,125,79,40,122,207,189,191,190,190,135,147,149,155,165,173,177,184,186,195,226,189,186,139,149,205,171,147,136,134,93,33,154,205,192,192,191,191,134,145,147,154,163,170,177,184,186,189,215,192,186,150,160,202,168,149,122,111,72,46,189,198,193,193,193,192,134,144,146,153,163,170,177,181,185,191,207,193,180,159,125,165,143,117,95,80,37,89,208,193,194,191,192,190,137,145,148,155,164,171,178,181,193,161,158,204,176,148,111,114,117,105,81,63,35,160,206,195,194,192,192,190
13,106,108,111,119,124,128,131,131,134,137,141,143,144,146,148,149,150,151,150,152,153,151,152,151,152,153,152,151,108,110,114,119,125,128,131,133,135,138,141,144,145,148,150,150,151,152,152,154,154,153,153,152,155,155,155,153,110,112,116,122,128,130,132,134,137,140,142,145,147,149,151,152,152,154,154,153,154,154,155,155,156,156,156,155,112,113,118,124,129,132,135,137,139,142,144,146,149,151,152,150,153,149,153,161,160,157,156,157,158,157,156,156,113,115,119,125,130,133,136,139,142,144,146,148,151,152,158,178,175,138,101,134,147,157,162,158,159,159,158,158,114,116,121,127,132,135,138,141,143,145,149,149,152,151,152,170,179,137,84,62,102,104,140,163,158,160,160,160,114,118,123,128,133,136,139,141,144,148,150,155,164,125,108,119,167,141,90,58,113,92,72,164,161,161,160,160,115,118,124,128,134,137,139,144,146,150,141,174,187,155,119,79,131,169,116,62,118,90,71,163,163,162,161,161,115,119,126,130,135,138,141,144,147,163,118,103,176,181,145,85,65,166,122,63,125,101,81,169,162,164,162,162,118,121,126,131,136,139,142,143,172,178,136,82,102,193,159,106,40,82,104,53,150,107,111,172,163,165,164,163,119,122,127,134,137,141,140,169,171,176,160,114,52,162,153,100,45,26,53,53,126,85,130,174,164,166,164,164,120,123,130,136,139,139,156,175,128,155,168,125,47,119,146,89,44,22,62,98,110,86,87,170,167,167,166,166,121,125,133,137,141,142,180,174,135,136,148,105,49,91,144,107,41,53,121,127,103,88,73,133,176,166,168,167,125,128,134,140,140,154,175,150,116,119,132,85,38,65,156,120,46,123,154,131,98,74,79,89,175,168,169,169,125,130,137,143,142,165,184,156,124,100,116,86,35,29,141,105,93,167,150,126,98,78,67,84,176,169,170,170,126,132,140,146,144,169,189,161,137,92,88,79,37,70,148,148,164,159,137,111,92,74,50,126,181,170,172,172,127,134,142,148,146,176,195,170,143,105,82,85,112,153,175,178,172,149,125,102,86,63,63,168,173,172,172,172,129,137,144,150,148,181,197,179,143,122,130,124,137,158,173,169,162,140,116,99,78,47,97,184,170,174,173,173,132,140,148,153,152,182,189,187,153,140,141,117,150,161,168,169,150,128,108,89,71,39,135,184,173,175,174,174,136,144,151,156,157,173,184,191,165,150,144,126,154,171,160,156,134,114,97,83,53,68,182,177,177,177,176,176,138,146,154,159,161,164,186,185,173,156,142,131,146,167,157,136,122,104,93,74,56,160,186,178,179,178,178,178,141,148,155,159,164,161,179,178,174,163,153,141,138,158,152,129,111,94,87,55,137,192,180,181,181,180,178,177,143,151,157,161,166,164,169,183,176,172,167,150,136,150,146,120,92,90,64,103,192,181,184,184,182,180,186,186,145,153,160,165,168,166,162,184,170,166,161,143,130,139,132,110,82,79,70,175,188,184,186,184,183,189,158,107,146,155,163,167,170,170,166,178,148,148,155,145,132,133,121,105,88,60,125,196,186,187,185,187,192,126,46,26,148,156,163,167,171,172,166,185,155,157,165,158,135,124,116,106,88,57,160,190,190,188,196,194,117,40,40,19,148,157,163,167,170,173,163,189,166,168,175,158,140,120,115,105,86,60,174,191,190,193,150,80,34,41,50,20,149,158,164,168,171,176,164,185,182,183,182,159,143,122,113,105,82,62,178,188,197,150,51,33,21,31,49,35
11,117,122,128,134,139,141,146,149,152,154,155,160,170,146,160,159,159,159,159,159,159,158,156,157,139,161,172,176,121,127,134,139,142,146,151,154,157,159,158,165,186,114,158,164,161,161,160,159,159,158,157,154,154,176,177,182,125,130,138,145,149,153,157,161,163,165,164,170,206,109,141,172,164,165,164,163,163,161,159,155,175,126,174,185,129,134,143,150,155,158,162,166,169,172,170,178,210,105,128,181,170,170,168,168,168,166,164,162,163,168,188,183,133,139,148,156,160,164,169,173,176,178,177,185,204,100,132,186,174,176,175,174,173,171,170,167,165,171,146,177,135,142,153,161,166,170,175,179,181,184,183,195,209,103,139,192,181,182,182,180,179,176,174,171,171,162,145,181,138,146,158,165,171,175,181,184,187,191,185,215,202,87,153,197,187,188,187,186,184,182,179,177,175,173,171,186,142,150,164,171,176,180,185,189,192,196,191,231,201,85,172,201,193,193,193,191,189,187,185,182,180,177,175,195,145,154,167,175,180,184,190,194,197,198,201,209,138,91,179,205,198,197,197,197,196,193,191,188,186,183,179,197,149,158,170,178,185,190,194,198,202,198,233,204,104,85,185,209,202,201,202,201,200,198,196,193,189,186,184,199,152,161,174,182,187,193,198,200,207,207,148,167,138,95,195,211,206,205,206,205,203,202,199,198,194,193,187,197,154,165,178,185,191,196,200,210,246,204,97,96,154,104,186,217,209,209,209,207,207,205,203,199,203,173,105,209,157,167,181,189,194,197,209,170,170,182,136,93,143,108,163,222,210,212,213,211,210,209,209,205,212,123,62,130,159,170,183,190,194,214,229,160,95,120,167,105,112,113,133,224,213,216,215,215,209,198,185,182,175,84,74,64,160,173,185,191,218,222,192,187,154,96,136,115,93,127,102,214,220,219,213,205,205,186,165,164,139,86,73,72,162,175,185,218,223,161,119,159,182,112,92,105,82,153,125,184,227,211,211,211,210,181,154,134,110,75,67,69,164,177,189,228,200,142,106,88,167,117,84,109,68,143,161,110,177,215,221,201,165,130,90,61,60,60,58,66,165,178,189,218,178,121,93,66,137,128,88,123,73,104,151,118,180,210,191,141,100,75,51,55,55,53,59,55,166,180,187,208,174,126,102,82,102,134,99,136,101,153,163,142,172,166,122,72,52,68,64,46,50,53,62,32,165,179,186,212,193,144,114,94,91,111,125,152,146,197,162,123,135,98,51,61,50,52,67,57,40,44,44,41,166,181,189,215,198,153,131,102,103,113,171,212,214,186,141,118,90,60,44,48,60,46,53,61,50,41,40,42,168,182,191,215,203,170,140,109,118,122,196,221,198,165,125,99,37,44,62,38,54,57,44,49,56,42,39,40,161,172,182,208,203,177,144,121,128,127,189,206,174,139,114,86,37,27,60,53,40,55,52,42,47,49,34,40,117,120,114,160,201,184,151,137,132,129,169,193,165,128,103,64,54,21,46,60,47,45,52,44,38,49,37,32,118,119,116,129,192,187,158,148,135,123,157,175,154,118,69,36,65,26,29,56,53,48,45,45,35,40,43,29,120,120,121,123,190,185,164,152,136,112,140,143,122,86,39,29,62,42,17,46,57,47,45,43,37,35,37,37,119,121,122,122,190,194,168,150,132,114,121,122,88,36,40,34,52,57,21,30,56,49,42,44,41,36,32,33,119,120,123,113,178,193,153,136,126,116,118,107,69,33,19,39,43,62,37,19,45,52,40,41,42,35,34,29
8,168,170,170,172,172,172,173,173,173,172,171,171,170,170,169,167,166,165,165,164,162,161,160,158,155,155,153,152,170,172,173,173,173,167,156,172,175,174,173,172,172,171,170,169,168,166,166,165,165,163,161,159,157,155,154,153,172,173,174,175,177,160,110,155,179,177,176,174,173,172,171,170,169,167,167,166,166,164,162,160,158,156,156,155,173,175,176,176,177,145,97,141,181,178,177,175,175,174,173,172,171,170,169,168,167,166,164,163,160,157,157,157,174,176,178,178,178,142,90,144,183,180,179,177,176,176,175,174,174,173,172,171,168,167,166,165,162,158,158,158,176,177,178,180,178,139,84,152,183,181,180,180,180,178,177,176,175,170,170,172,167,166,167,166,164,161,160,159,178,179,180,181,180,141,84,151,185,182,179,169,174,180,177,177,171,138,118,142,146,142,169,167,166,164,163,161,180,181,182,182,183,152,92,142,187,183,163,130,121,165,148,128,138,135,105,85,123,113,168,168,166,165,164,162,181,181,182,184,183,151,90,129,188,177,159,139,111,120,132,103,96,139,118,78,90,100,153,171,168,166,165,164,181,182,184,185,184,155,108,113,185,173,165,153,120,100,131,111,97,138,112,76,68,91,108,166,170,167,166,165,182,184,186,187,186,175,140,109,172,170,161,162,125,90,124,121,93,123,104,72,58,94,86,126,172,169,167,166,183,185,185,186,187,182,150,115,147,151,140,159,127,90,107,123,87,111,129,89,59,97,85,104,173,170,169,167,184,185,186,187,188,186,160,147,139,138,120,146,126,87,86,120,89,101,139,92,71,108,82,124,175,171,170,168,186,186,187,189,190,190,182,162,133,120,115,130,128,93,75,100,78,54,88,69,88,111,79,149,175,172,171,169,187,187,188,189,190,190,186,152,120,97,94,110,140,124,75,59,59,65,64,95,125,106,85,167,175,173,172,170,188,187,189,190,192,192,184,151,125,98,85,91,144,133,89,62,100,135,132,126,129,91,99,177,175,173,171,170,187,188,191,191,192,192,190,168,137,103,87,88,124,120,91,98,142,147,144,118,102,74,121,181,177,174,172,171,187,189,192,192,193,193,190,173,142,111,92,88,115,134,136,152,162,144,134,106,79,71,157,181,177,175,173,172,187,189,191,192,194,194,190,177,149,122,99,90,121,164,175,173,160,136,123,95,61,113,181,180,178,176,174,173,188,189,192,193,195,195,187,175,154,126,102,100,135,173,172,166,148,126,110,82,73,167,183,180,178,177,175,174,189,191,192,193,195,194,183,171,160,130,108,110,144,168,168,160,137,119,98,67,124,186,183,180,179,178,176,174,190,192,192,194,196,196,185,175,165,136,117,113,148,162,164,151,126,107,81,79,173,187,183,181,181,179,177,175,191,192,194,196,197,198,192,181,170,143,122,112,144,154,151,135,112,91,64,132,189,186,184,182,181,180,178,176,190,192,195,196,196,198,195,186,169,144,123,115,135,144,135,118,95,69,88,180,189,188,185,183,182,180,178,175,192,193,195,195,196,198,196,184,164,142,127,120,126,136,124,106,81,69,160,191,188,187,184,184,182,180,179,177,193,194,195,196,196,198,196,185,165,150,140,133,125,131,117,95,68,131,193,191,188,187,185,184,181,180,179,178,192,194,196,197,197,196,193,189,171,162,147,139,129,124,103,78,88,184,193,192,189,188,186,184,181,181,179,177,192,194,196,197,198,191,187,190,174,167,146,139,128,110,92,69,130,196,194,192,190,187,187,185,183,182,180,178
3,132,140,146,149,151,155,158,161,163,165,165,166,168,168,169,168,171,171,169,170,169,169,169,168,168,167,166,165,136,144,148,152,155,159,162,166,167,169,170,171,172,172,173,177,152,166,175,172,174,173,172,172,171,170,169,168,140,147,152,155,158,163,165,169,171,173,174,175,176,176,177,182,128,131,185,176,178,177,177,176,175,174,172,172,143,150,156,159,162,167,170,173,175,177,178,178,180,181,182,182,128,104,181,181,181,181,180,180,179,177,176,175,146,153,159,161,165,170,173,176,178,180,181,182,183,183,184,188,131,93,171,187,183,184,183,183,182,180,179,178,148,156,162,165,168,172,176,179,181,183,184,185,187,187,187,192,140,90,159,194,185,186,186,185,184,183,182,182,151,158,164,167,171,175,178,182,184,186,187,188,190,190,188,205,157,93,144,199,189,190,190,188,187,186,185,184,153,160,166,169,173,177,181,184,186,189,190,191,191,192,181,185,147,88,133,201,191,193,193,191,190,189,188,187,156,163,169,172,175,180,183,187,188,190,192,195,195,214,192,147,112,99,126,201,194,195,195,194,193,192,191,190,159,165,170,174,178,182,186,189,190,193,195,187,165,201,214,170,105,147,136,192,200,197,197,197,196,195,193,192,160,167,171,175,180,184,187,190,193,192,207,200,168,161,221,179,149,186,110,166,207,199,200,199,198,197,196,195,162,169,173,177,182,186,189,193,196,178,174,210,201,156,194,177,158,168,99,117,207,201,201,201,200,199,198,197,163,170,175,179,183,187,191,193,203,197,172,165,205,165,170,175,135,167,129,98,161,211,201,202,201,202,200,199,165,172,177,180,185,188,193,197,195,207,200,148,159,182,145,177,135,151,157,117,119,211,202,203,203,202,201,201,166,173,178,181,186,190,194,199,189,154,175,131,111,162,115,177,176,121,155,126,118,208,206,205,205,204,204,202,167,173,179,183,187,191,195,199,198,150,154,133,98,144,119,118,119,85,140,131,114,208,208,206,206,205,205,203,168,174,179,184,188,192,197,199,206,182,139,131,111,128,163,109,68,101,162,138,104,195,212,207,207,206,206,206,168,173,178,183,188,192,197,200,202,172,131,115,103,91,132,117,105,139,174,140,99,182,217,208,208,208,207,206,169,174,178,183,188,192,196,198,202,192,158,123,104,95,106,157,169,172,156,127,106,191,214,208,208,208,208,207,169,175,180,184,189,193,196,198,206,200,164,129,122,128,138,203,209,184,152,112,117,208,210,208,208,209,206,203,170,177,182,185,189,193,197,199,204,201,177,147,136,130,149,205,201,171,146,108,136,219,213,210,212,193,177,201,166,172,179,184,189,194,199,203,206,201,181,156,137,133,146,198,196,162,135,103,155,213,195,198,196,163,160,203,119,120,123,127,132,135,138,143,147,187,184,157,148,148,137,190,189,155,124,103,151,193,172,159,190,134,166,193,115,116,118,119,118,118,119,119,113,152,188,166,155,154,130,171,176,144,115,109,173,166,177,155,165,124,181,185,117,118,119,121,122,123,126,128,122,134,190,170,154,148,123,141,155,122,105,144,179,159,163,169,133,132,188,180,117,119,119,119,122,122,121,124,117,167,210,171,150,137,116,124,126,110,115,163,173,159,160,161,124,158,181,181,116,118,120,119,121,122,122,123,118,187,208,169,148,129,119,120,117,100,149,160,148,159,154,147,145,164,177,181,116,117,120,119,119,120,122,121,125,189,196,169,150,138,126,117,110,102,174,163,120,153,155,148,161,158,185,177
11,133,136,138,140,143,143,145,146,147,147,146,146,147,146,145,144,143,142,141,141,139,138,137,136,134,134,133,130,135,138,140,143,145,145,147,148,149,149,148,148,148,147,148,146,145,144,143,142,140,140,139,138,136,135,133,132,137,140,142,144,147,148,149,149,150,151,150,149,150,149,148,147,147,147,144,143,143,142,140,139,138,137,135,134,139,141,143,146,148,149,151,151,151,153,152,152,152,151,150,149,143,146,148,146,144,144,142,140,140,139,137,135,140,143,145,147,149,151,153,153,152,153,153,153,153,153,151,156,142,95,145,147,145,145,145,142,142,141,138,136,141,145,146,148,151,152,153,154,153,154,154,154,154,154,151,161,150,74,124,154,146,147,147,146,144,142,140,139,143,146,149,150,152,153,155,156,155,156,155,156,155,154,152,161,144,80,118,157,147,147,147,147,144,143,142,140,145,147,150,152,153,154,157,158,158,157,157,157,157,157,152,167,154,88,117,159,149,148,147,147,146,144,142,141,145,148,150,153,154,157,159,159,159,159,159,157,158,159,153,173,162,95,109,161,150,149,149,148,147,145,144,143,147,150,152,154,156,158,159,160,159,160,160,159,158,159,155,174,149,85,108,161,150,151,151,150,148,147,144,143,148,151,153,156,158,159,160,160,160,160,160,159,162,164,161,174,142,79,112,162,151,152,152,151,150,148,146,144,150,152,155,158,160,160,161,161,161,163,166,166,152,121,143,179,140,84,120,163,152,154,153,152,151,149,148,145,152,153,156,159,160,161,162,167,170,158,130,144,142,93,82,155,118,74,131,163,155,155,154,153,152,150,147,146,153,155,157,159,162,163,164,134,142,152,100,62,126,113,60,67,74,60,149,162,157,156,154,153,153,151,148,147,154,157,159,160,162,167,167,122,72,140,114,58,126,111,58,48,52,77,166,158,158,158,158,157,156,156,151,147,154,158,160,163,162,178,172,147,70,121,122,58,116,95,56,50,49,86,169,159,160,157,153,149,140,137,150,153,157,159,161,163,170,189,176,143,72,86,106,51,100,91,52,41,39,82,171,159,160,154,145,137,116,102,100,130,158,160,162,162,181,174,156,141,78,56,93,53,120,102,61,35,43,87,173,154,163,162,130,102,78,73,57,73,159,160,165,163,184,186,161,131,62,73,109,56,153,142,75,42,59,82,149,157,158,116,60,50,89,112,106,119,160,162,166,165,188,190,164,114,80,97,164,82,145,141,56,55,93,103,138,151,117,56,61,140,167,163,161,157,160,162,166,165,190,186,150,128,121,86,186,98,60,107,85,106,107,101,118,102,55,72,159,166,158,156,154,153,159,163,165,165,187,183,161,143,113,100,138,90,100,144,138,118,100,85,84,51,64,165,165,160,160,158,156,154,161,164,167,166,181,183,170,148,134,148,156,161,143,130,121,107,96,72,49,57,154,169,162,163,161,160,158,155,161,165,168,167,176,179,165,146,123,123,139,144,131,127,107,100,89,43,72,156,171,165,165,164,163,160,158,157,161,165,165,172,176,173,159,125,104,120,133,127,122,110,100,90,49,85,171,173,166,166,165,165,163,160,159,158,159,168,78,50,155,160,144,119,121,130,127,119,107,92,68,50,105,176,170,168,167,165,165,164,162,160,158,156,170,121,35,26,75,143,154,150,142,121,119,102,77,43,73,154,179,171,170,170,167,166,165,164,163,160,158,156,161,63,36,45,34,63,123,134,124,110,100,82,50,49,170,181,171,172,170,169,168,166,165,164,162,160,159,157
12,142,144,146,148,148,149,150,151,155,156,154,159,162,159,158,160,162,162,162,163,161,162,161,162,162,161,162,164,143,146,147,148,149,150,150,153,155,151,157,149,143,161,163,154,141,150,164,162,162,164,164,163,162,163,163,164,145,146,147,149,150,151,152,156,153,178,182,138,99,103,179,152,119,90,156,170,167,166,166,165,163,163,163,163,146,148,148,149,151,152,157,150,177,219,190,130,113,76,169,144,123,92,97,125,137,164,165,163,164,165,165,165,145,148,149,150,151,153,155,152,198,180,181,148,151,81,139,162,139,95,67,107,85,97,169,166,168,168,168,167,147,149,150,151,152,155,154,160,211,151,162,166,141,85,125,175,146,86,79,120,101,50,142,177,167,168,169,167,149,150,152,153,157,156,154,171,218,150,167,139,105,61,48,134,106,68,94,138,112,66,136,176,167,169,169,167,149,152,154,155,154,159,148,140,183,102,154,146,117,70,24,59,52,33,155,157,109,66,156,173,169,171,170,168,150,152,155,153,160,185,153,117,99,82,118,151,141,141,118,109,88,42,121,125,80,65,172,170,172,171,170,168,151,154,156,149,197,204,163,135,86,85,113,122,119,141,147,146,145,95,39,51,52,90,182,171,171,171,169,168,153,158,150,176,204,197,180,145,101,86,125,107,78,105,111,148,174,138,84,29,36,125,184,171,171,170,169,169,154,158,150,210,179,179,187,154,112,81,81,95,72,75,87,164,177,165,136,62,34,152,180,173,173,171,170,169,154,151,174,203,145,130,173,158,125,95,69,82,71,90,115,162,171,173,162,107,54,167,177,176,173,172,171,170,154,149,194,189,163,136,129,166,132,94,70,83,70,86,98,149,179,166,168,141,76,169,178,175,172,173,172,172,154,151,204,196,174,140,94,149,141,94,72,69,72,89,117,135,152,173,149,156,90,142,184,171,176,174,174,175,152,153,198,164,129,104,74,94,157,112,101,60,86,90,141,173,157,157,142,132,109,95,185,174,176,176,176,176,152,156,208,179,153,127,104,82,129,140,140,85,95,117,173,179,174,154,132,116,106,79,183,177,176,177,176,175,156,157,215,190,158,133,120,95,90,124,115,101,113,164,192,181,174,152,131,108,82,97,186,175,177,177,176,176,158,160,217,193,165,145,129,97,93,125,90,106,146,191,193,181,170,151,134,108,68,117,189,176,178,178,177,177,157,163,222,196,172,155,138,106,98,136,112,139,183,205,192,178,163,149,132,108,60,133,189,177,178,178,177,177,156,169,229,196,171,160,146,125,102,128,132,157,203,206,192,174,157,147,130,101,57,154,184,178,178,177,177,177,152,172,231,198,179,165,148,142,116,123,147,158,212,200,185,170,155,146,121,92,66,171,183,179,179,178,178,178,154,168,225,204,190,169,155,147,134,118,154,157,213,194,175,168,156,143,118,81,78,181,178,179,180,180,178,178,160,162,211,209,198,178,162,155,146,122,152,158,207,191,164,159,153,137,115,71,103,190,177,180,180,179,178,178,161,156,199,215,197,183,168,163,150,128,137,154,198,187,161,156,151,126,110,60,138,188,176,181,182,179,179,178,161,155,189,221,199,188,175,164,150,134,133,140,184,183,158,151,144,126,100,65,167,184,180,180,182,181,179,179,161,155,177,226,204,187,174,159,142,136,136,134,166,173,146,141,139,130,81,88,188,177,181,181,181,180,180,179,160,154,181,230,199,178,169,155,140,131,136,136,154,161,141,135,139,122,65,132,191,178,181,182,180,180,181,179
5,164,164,166,167,170,170,170,171,171,171,170,170,171,169,169,168,168,167,166,165,163,162,161,159,159,158,157,156,166,167,168,170,172,172,172,173,172,172,172,171,171,171,171,170,170,169,167,166,164,164,163,162,161,159,158,157,167,169,171,172,173,174,174,174,175,174,174,179,146,163,173,172,172,171,170,168,166,166,165,164,163,161,160,159,170,171,172,174,175,176,176,176,178,176,179,184,121,142,176,174,173,172,171,169,169,167,167,166,164,164,163,161,172,172,173,175,176,182,175,149,180,178,186,179,106,143,177,176,175,173,172,172,171,170,169,167,166,165,163,161,173,174,175,178,178,193,158,116,177,179,186,158,99,161,180,178,177,176,175,173,172,172,171,170,169,168,165,163,174,176,178,178,183,195,127,118,181,181,176,141,105,175,181,180,178,177,181,151,159,175,173,172,171,169,167,166,176,177,180,180,192,176,98,155,187,175,157,123,116,181,182,179,177,184,168,116,142,178,176,174,172,171,169,168,178,179,181,182,205,171,99,176,187,162,142,101,139,183,170,168,168,150,114,117,167,179,178,176,174,172,170,169,180,181,182,186,215,160,100,179,181,155,131,92,158,148,154,165,126,99,131,170,180,179,179,178,175,173,172,171,181,183,185,191,212,139,100,184,165,156,134,97,117,115,130,122,101,143,182,182,181,180,179,178,177,174,173,172,182,185,187,190,210,180,106,152,145,144,117,87,90,98,86,109,155,184,186,184,182,181,180,180,179,177,174,172,185,188,190,190,207,200,131,105,113,117,93,78,96,91,107,176,188,187,186,185,183,182,181,181,180,179,176,174,187,189,191,192,201,206,170,124,106,105,85,76,98,101,162,192,189,188,187,187,185,184,183,182,181,180,177,175,190,191,193,194,198,224,203,153,106,92,88,86,91,148,183,175,177,188,190,188,188,187,185,183,182,181,179,177,191,193,195,196,199,226,204,150,100,83,81,91,96,131,140,148,156,161,170,177,182,186,186,185,184,182,180,179,193,194,196,198,205,224,196,142,91,76,75,91,99,111,139,146,171,170,169,174,173,145,175,188,185,183,182,180,195,196,198,198,214,223,202,149,96,72,72,89,98,97,114,102,135,155,155,166,163,127,161,191,186,185,183,181,196,198,200,201,223,219,200,144,100,74,70,81,82,83,105,113,161,166,154,169,184,143,144,191,188,186,184,182,197,200,199,211,223,212,195,141,99,70,63,72,73,139,190,194,201,196,188,191,156,117,178,193,190,188,185,183,199,201,201,223,219,212,192,139,92,69,67,81,90,110,171,204,192,170,169,168,103,142,197,193,192,190,188,186,200,201,209,228,216,209,182,122,85,66,79,89,99,106,117,152,162,172,162,126,76,171,198,196,193,191,189,187,201,193,219,225,212,205,168,110,84,75,99,115,124,120,108,121,152,159,138,92,103,190,200,197,195,193,191,189,188,113,141,204,214,193,153,109,85,88,112,125,126,115,110,111,135,123,100,130,186,201,201,199,196,194,192,190,120,74,72,106,171,176,144,113,86,94,118,118,111,97,102,92,87,109,165,201,203,202,202,200,196,194,193,191,80,71,67,65,77,108,119,91,71,80,103,102,93,83,83,79,124,191,207,206,205,203,202,200,198,196,194,193,78,67,62,63,61,59,49,42,44,53,67,75,72,72,127,180,207,210,208,208,207,206,203,201,199,196,194,194,69,62,60,59,55,57,35,23,30,32,36,41,60,140,207,213,212,211,210,209,208,206,204,201,200,197,195,195
4,151,155,158,161,163,165,168,169,170,173,174,175,175,176,177,178,178,177,177,177,177,176,176,175,175,175,175,174,153,156,159,162,164,166,168,170,171,174,175,176,177,179,179,178,180,182,180,178,179,178,177,177,175,176,176,175,153,157,160,163,165,168,169,171,173,175,176,175,176,179,182,186,167,148,172,182,181,180,178,178,178,177,177,176,154,158,161,164,165,168,170,172,176,178,176,183,171,145,173,206,172,127,124,192,181,181,180,180,180,179,178,176,155,158,162,165,168,170,171,174,175,172,186,214,183,145,135,207,174,136,110,170,168,182,183,180,180,180,179,178,157,159,163,166,169,170,172,173,182,181,172,203,194,157,121,195,179,133,83,119,141,132,183,183,181,180,180,180,157,161,164,167,170,172,172,179,208,206,159,145,204,170,120,181,181,129,76,121,150,106,131,190,181,183,181,181,157,162,164,167,170,175,172,189,204,196,149,127,194,158,108,154,163,114,77,128,151,113,96,187,184,183,182,182,158,161,165,169,170,173,173,189,190,189,148,118,176,146,103,122,143,108,87,154,157,111,94,187,185,182,182,182,159,163,166,169,171,175,173,189,185,171,155,126,161,142,105,90,127,89,113,183,146,96,100,191,185,183,182,184,159,163,167,170,173,177,174,191,201,173,160,141,139,172,131,109,125,96,116,153,123,78,102,194,185,187,185,184,160,164,168,171,173,176,175,194,210,187,154,106,113,170,146,165,143,148,153,164,154,102,107,197,185,187,186,185,161,165,168,171,173,177,175,201,206,172,143,114,97,98,114,164,146,167,179,188,173,114,116,197,186,188,187,186,161,165,169,172,174,177,176,206,193,154,129,110,96,92,91,124,148,158,167,170,154,116,103,188,189,189,186,186,161,166,169,172,175,177,179,210,197,165,139,111,99,101,112,114,123,135,137,143,146,130,90,167,195,187,187,187,162,166,169,173,175,177,183,212,194,163,130,113,105,101,112,134,122,149,159,158,160,140,97,130,200,187,189,187,163,167,171,174,176,177,186,211,192,158,128,110,109,102,118,139,144,189,187,191,183,150,112,92,187,192,190,189,164,168,171,174,179,178,188,209,189,159,135,120,114,111,119,134,175,198,201,195,194,160,120,81,161,199,189,190,163,169,171,173,177,178,188,204,185,162,139,130,120,117,116,161,202,200,202,179,176,147,116,83,166,198,189,191,162,167,170,172,176,177,186,201,183,165,142,124,114,120,137,198,208,203,188,170,150,129,95,106,193,190,190,190,162,166,171,172,176,178,183,202,192,160,131,125,120,133,165,210,206,194,170,153,129,107,80,160,198,189,189,190,163,167,170,174,177,180,181,200,193,168,153,151,128,138,182,208,197,180,158,136,117,85,113,199,190,192,190,191,164,167,171,174,177,180,180,197,195,175,156,157,131,128,194,197,184,163,143,122,101,79,172,197,192,192,191,191,164,168,171,174,176,181,177,197,201,179,161,156,130,133,191,184,164,145,122,106,78,119,202,192,193,192,191,191,164,169,172,174,177,180,176,209,205,183,160,147,117,134,178,169,145,124,104,90,78,179,196,192,192,193,192,190,164,169,172,174,179,174,192,214,197,172,153,125,109,141,158,134,109,99,90,71,146,200,191,193,192,191,191,191,161,166,170,173,175,174,210,208,196,180,154,129,126,144,135,104,95,96,79,128,197,192,193,192,192,193,191,193,129,132,132,133,124,167,214,200,195,179,149,137,135,134,121,99,99,99,84,125,135,134,134,133,134,135,136,137
24,96,102,107,111,113,117,119,120,123,125,127,129,131,133,134,135,136,137,138,139,141,142,142,142,142,142,142,142,97,103,108,112,115,118,119,122,124,126,128,132,133,134,135,137,138,139,141,143,143,143,144,143,143,143,143,144,99,104,109,112,116,119,120,123,126,127,130,132,135,136,136,138,139,140,142,143,144,144,144,144,144,145,144,145,100,105,111,115,117,120,121,124,126,129,131,133,136,137,137,139,140,142,143,144,144,145,147,144,146,147,146,147,101,107,112,116,119,120,123,125,128,131,133,134,136,136,138,140,142,143,143,145,147,148,148,147,148,147,147,148,103,108,112,117,120,127,117,126,128,131,133,136,137,138,140,142,143,144,145,146,147,148,147,148,148,149,149,148,102,108,113,115,135,133,85,124,130,132,134,138,139,140,142,143,144,145,147,147,147,148,149,150,150,150,150,151,104,110,115,116,151,108,84,128,131,134,136,138,140,141,143,143,145,147,147,150,152,152,150,150,152,152,151,152,106,112,112,129,152,91,96,133,131,136,139,139,141,145,145,145,146,148,148,140,121,133,153,151,152,152,152,152,105,113,109,146,143,80,111,134,135,131,125,139,139,124,136,150,147,151,127,97,80,86,153,154,153,154,154,154,106,113,114,163,125,106,121,121,151,133,94,119,140,115,97,136,155,141,100,75,76,119,156,153,154,155,155,154,109,112,122,166,126,162,132,112,150,131,85,124,131,117,85,101,167,126,87,74,137,159,154,155,155,155,155,155,109,109,137,164,154,169,139,112,145,122,78,119,123,100,74,130,150,109,76,106,164,153,156,156,157,156,156,157,110,108,147,163,152,184,139,107,140,116,72,64,107,103,109,140,114,88,75,146,157,156,157,158,158,158,158,158,112,109,155,175,149,175,134,96,145,103,87,98,131,136,122,117,106,73,104,164,156,159,159,158,158,158,159,159,110,118,165,164,145,158,121,84,140,146,153,157,138,119,105,95,98,74,137,164,158,159,159,160,160,159,159,160,105,141,148,135,124,138,128,106,163,178,163,149,131,112,93,87,84,85,160,160,160,160,160,161,161,161,161,161,109,167,151,131,115,115,130,169,182,171,163,150,124,103,86,84,72,115,168,160,162,162,162,162,162,162,161,162,129,183,151,135,125,107,130,188,171,162,153,134,114,95,81,79,68,142,166,162,162,163,163,164,163,163,163,163,157,185,152,146,138,146,174,180,165,149,141,121,101,88,80,78,72,150,166,163,163,163,164,164,165,165,164,164,173,186,160,153,145,166,175,163,150,137,130,111,93,84,80,73,87,164,163,164,164,164,164,166,165,165,165,165,176,194,168,154,143,156,164,153,145,127,123,102,88,79,77,67,130,168,163,165,165,166,165,167,167,166,165,166,167,198,171,161,148,151,161,156,140,126,117,96,83,74,61,104,167,163,165,166,166,166,167,167,167,167,167,167,147,191,167,156,156,148,147,152,131,114,106,90,72,63,110,160,163,164,165,166,168,168,168,167,167,168,169,168,136,176,169,159,160,148,134,145,131,111,98,80,58,111,167,162,163,165,166,167,167,169,169,168,169,169,169,170,128,173,171,160,151,146,128,138,126,110,95,65,80,157,160,162,164,166,166,167,168,169,169,169,169,170,170,169,129,179,173,154,139,146,128,129,122,105,94,63,111,166,160,163,165,166,167,168,169,169,169,170,170,171,171,170,134,179,173,148,131,148,126,122,123,103,89,66,118,166,160,164,166,166,168,169,170,170,170,171,171,171,172,172
20,190,192,195,197,199,200,203,203,204,205,207,207,208,207,207,209,207,208,207,208,207,207,205,204,203,202,202,201,191,195,197,199,201,203,204,205,206,207,208,209,207,220,210,197,210,210,209,208,209,208,207,207,206,204,204,203,194,197,199,200,203,205,206,208,208,209,209,211,206,237,213,164,210,194,211,210,209,209,210,209,208,206,204,204,196,198,201,202,205,207,208,209,210,211,212,215,209,240,213,170,226,164,205,215,211,212,212,210,210,209,207,206,197,201,203,204,207,209,210,211,212,213,214,216,211,240,214,179,240,169,192,220,214,215,214,213,212,210,209,208,199,203,204,205,209,210,211,213,215,215,215,217,212,246,229,181,243,185,185,222,216,217,216,215,213,213,211,210,200,203,205,207,210,213,213,215,216,217,219,220,214,250,221,187,250,197,183,224,218,219,218,216,215,214,213,211,202,204,206,209,212,214,215,217,217,217,217,219,220,250,211,197,250,195,179,225,220,221,220,218,217,216,215,214,203,206,208,211,214,216,216,218,220,218,232,230,218,253,214,199,253,188,178,228,221,221,221,220,218,217,217,216,204,208,210,212,214,217,219,220,217,222,255,255,215,185,198,199,250,188,185,230,222,223,223,222,220,219,219,217,207,210,211,214,216,217,220,219,235,245,230,234,218,163,144,177,226,181,190,232,224,225,224,223,221,221,220,219,207,211,213,215,218,220,219,228,255,255,218,192,221,201,191,164,183,171,190,233,226,226,225,224,223,223,221,220,209,211,214,217,219,222,220,237,239,200,241,212,195,236,231,180,151,152,191,234,227,228,226,225,225,224,223,222,210,213,215,219,220,222,220,239,238,160,160,162,139,210,233,192,153,142,189,235,228,230,227,227,227,226,225,225,211,214,216,219,221,224,222,242,225,195,179,147,144,156,243,225,175,137,188,237,230,231,229,228,229,228,226,225,212,216,219,221,222,226,222,246,252,220,182,160,167,154,233,250,199,139,179,240,231,232,231,230,230,229,227,226,213,217,219,222,224,227,223,250,251,201,171,164,178,181,236,255,220,157,171,240,231,234,232,231,231,230,229,227,215,218,220,223,226,228,224,250,250,206,183,180,188,203,255,255,226,171,171,241,233,234,233,232,233,232,230,229,215,219,222,224,227,229,227,251,255,220,195,192,201,236,255,254,217,176,166,240,234,234,235,234,233,232,231,231,217,220,223,225,227,231,229,251,255,232,201,201,215,255,255,251,211,176,168,240,235,236,235,235,236,234,232,231,218,220,222,225,228,231,228,247,255,240,211,204,226,255,255,242,209,172,162,241,238,237,236,237,236,236,233,232,218,220,222,225,228,231,228,244,255,241,222,216,228,255,253,228,205,167,157,239,238,237,235,235,235,235,234,232,218,220,224,227,229,231,231,238,255,247,233,234,226,255,244,221,202,162,154,239,239,239,237,235,235,234,232,234,218,221,226,228,230,231,234,234,255,254,240,242,222,236,229,208,194,155,157,244,239,240,239,238,235,235,240,227,220,222,226,227,230,233,234,232,250,255,245,231,211,212,213,194,196,145,173,251,240,242,240,237,243,240,217,163,220,223,226,227,230,232,240,244,252,255,239,214,186,190,204,192,189,133,202,251,241,243,241,246,222,172,141,130,221,225,228,232,234,238,212,147,203,255,216,195,175,187,211,185,168,138,244,246,244,244,248,212,152,139,134,127,193,197,202,205,208,215,157,65,152,255,225,198,175,197,215,165,150,106,173,240,235,240,209,145,137,133,125,124
10,95,103,115,121,125,130,133,135,139,142,144,146,148,149,150,153,155,157,157,158,159,160,162,162,164,165,166,167,95,104,117,122,126,131,134,136,140,143,145,146,148,150,153,154,150,152,161,159,161,163,164,164,165,167,168,169,97,108,120,124,127,132,135,137,142,145,146,147,149,152,153,163,151,115,160,161,163,164,166,167,168,170,170,171,100,109,120,124,128,133,137,140,142,144,147,149,152,154,153,172,160,102,149,165,164,166,167,169,170,170,171,172,100,111,121,126,129,133,137,141,143,146,147,150,153,154,152,173,164,107,138,168,165,169,170,170,171,171,173,173,101,112,122,125,129,135,140,141,143,146,148,148,152,158,155,166,170,122,127,172,165,168,169,171,172,172,173,174,103,113,123,125,131,136,140,142,144,146,148,152,159,132,153,169,181,138,113,172,168,169,170,172,173,172,174,175,104,116,124,128,133,137,140,143,145,146,148,154,168,108,115,174,178,150,106,164,171,171,172,172,173,176,176,177,105,117,125,128,133,138,139,145,150,152,152,166,153,114,87,169,169,147,103,159,174,173,173,172,174,175,175,176,107,118,125,129,132,139,153,126,117,114,123,159,166,135,89,146,167,135,99,148,176,173,174,174,176,176,177,177,108,119,126,129,132,143,144,106,81,77,74,96,168,151,91,116,156,122,99,137,179,172,176,176,177,179,179,179,109,121,126,131,136,141,136,114,88,75,97,83,139,165,106,109,135,105,99,124,182,173,176,177,178,179,180,179,110,120,127,131,136,140,146,146,144,125,98,74,129,172,121,98,105,91,99,112,181,174,177,178,179,180,180,179,110,121,126,131,136,142,145,142,175,168,98,68,154,174,132,82,76,90,101,104,178,176,178,179,180,180,180,180,111,122,126,131,136,139,143,142,176,161,105,58,169,176,139,92,70,92,103,91,167,180,178,179,181,180,180,180,112,123,127,132,138,138,163,162,173,171,105,50,186,176,137,97,71,88,101,82,154,184,178,180,181,182,182,182,114,123,127,132,139,135,177,175,166,165,93,101,192,165,134,93,71,80,95,72,144,186,177,180,181,182,183,183,115,123,127,134,138,138,157,175,161,156,118,188,178,158,139,96,76,80,84,75,164,182,179,180,182,183,183,184,116,123,127,134,139,143,147,155,135,156,170,203,176,152,135,101,79,81,72,99,185,176,180,180,182,183,183,184,117,123,129,134,139,144,146,158,134,174,200,196,174,148,128,102,81,78,64,138,186,177,180,180,182,184,184,184,117,123,128,133,138,144,145,176,162,147,197,190,170,146,126,104,83,71,73,171,180,180,180,181,183,184,184,183,117,123,128,134,138,142,145,187,176,140,191,188,171,144,124,105,86,64,104,186,176,179,181,183,183,184,184,185,118,124,128,133,137,141,149,194,183,164,196,183,170,147,126,108,84,61,147,184,177,181,182,183,183,183,184,185,117,124,128,133,139,141,152,201,187,174,189,184,178,150,126,108,76,79,178,178,179,181,182,183,184,184,184,185,119,124,130,136,139,142,152,199,182,180,185,181,185,156,123,108,69,112,186,176,180,180,181,183,184,185,185,186,119,123,128,134,139,142,152,192,173,175,183,182,185,159,123,103,66,148,183,177,181,181,183,183,184,185,186,186,119,124,130,135,139,142,150,173,173,186,185,180,181,154,121,91,89,179,177,178,180,182,182,183,184,185,185,187,118,123,130,135,138,143,146,179,187,192,185,174,175,148,118,79,120,184,175,178,180,182,183,184,185,185,185,187
4,181,184,186,187,191,192,194,198,200,202,206,205,205,208,209,208,211,211,209,210,211,212,213,212,210,210,210,210,184,187,189,191,194,196,197,200,201,202,207,207,209,208,209,218,205,205,214,212,212,213,214,213,213,212,212,212,188,191,193,195,198,198,200,203,204,205,205,214,202,222,255,249,185,137,204,217,216,218,215,216,215,215,214,214,191,193,195,198,200,201,203,208,212,214,241,239,180,154,211,230,173,121,127,160,158,204,222,217,218,218,216,215,193,196,199,200,204,204,211,208,181,241,255,243,189,129,105,204,168,118,98,146,125,133,227,218,220,220,219,217,196,198,201,204,206,207,255,239,178,185,188,244,194,146,89,152,192,147,99,164,164,123,220,222,222,221,220,221,199,201,204,208,203,238,245,236,233,204,141,196,220,168,66,155,226,177,138,155,176,148,209,228,223,224,223,223,202,205,207,208,213,255,226,182,187,163,108,128,225,159,76,196,221,169,131,122,140,136,166,236,225,226,225,225,203,208,211,211,215,255,249,209,189,181,171,119,166,135,103,159,183,153,136,137,132,127,141,209,235,226,226,226,206,210,212,216,213,248,247,229,203,180,171,140,130,151,144,155,181,161,162,143,114,151,154,152,237,229,230,227,208,212,214,218,216,243,246,220,192,163,144,133,140,161,164,180,192,182,173,146,149,190,184,138,194,240,230,231,210,215,216,221,218,250,251,222,197,162,141,133,143,154,171,189,206,210,228,244,230,213,194,172,141,229,234,233,213,216,219,224,220,252,255,230,202,168,142,139,146,159,182,218,210,238,249,240,228,209,178,152,115,187,246,233,214,219,221,224,222,247,255,234,213,184,149,139,142,161,201,218,212,237,234,226,212,192,167,143,119,142,244,237,215,221,222,228,226,248,255,240,222,194,162,145,146,163,209,222,231,240,242,226,203,185,165,139,124,128,237,241,217,223,225,229,228,250,255,246,230,201,174,157,158,160,201,229,242,243,238,228,201,179,154,136,115,148,250,241,220,225,227,230,229,246,255,253,238,209,181,176,171,163,197,232,243,242,239,227,195,167,143,132,109,202,254,243,221,226,229,233,233,242,255,255,249,219,194,188,182,171,205,228,242,244,240,221,188,158,140,124,124,245,248,247,223,227,231,233,234,239,255,255,255,230,206,197,188,176,211,228,232,244,232,207,178,154,140,109,167,255,246,249,226,230,233,235,240,235,251,255,255,234,216,205,193,183,204,234,232,232,215,189,167,148,137,110,221,255,249,251,230,234,234,237,241,240,240,255,249,235,218,207,197,182,180,223,228,213,196,173,156,146,125,136,255,251,253,252,231,234,237,240,242,245,233,252,252,239,217,208,201,182,165,209,226,210,187,162,143,148,110,199,255,250,253,253,234,236,239,242,244,250,234,252,255,242,218,207,203,187,167,199,217,201,177,151,140,115,155,255,253,255,254,254,237,238,241,244,246,251,237,255,255,234,210,204,203,182,164,191,204,187,156,143,114,148,253,255,255,255,253,255,237,240,244,247,248,251,243,255,254,225,206,209,206,189,167,181,186,172,143,124,128,249,255,254,255,255,255,255,238,242,245,246,249,254,237,255,255,228,218,221,213,201,173,168,168,162,139,107,207,255,253,255,255,235,180,135,241,244,247,248,250,255,240,255,255,233,229,239,215,204,171,155,156,160,125,124,251,255,255,229,149,103,88,86,243,245,247,249,251,255,204,251,255,250,250,248,217,204,170,152,156,161,112,156,255,255,208,114,97,79,80,76
23,163,167,170,174,178,180,183,186,187,188,188,187,187,188,187,185,185,185,184,182,181,179,180,179,178,180,197,210,167,171,175,179,182,187,189,190,192,193,193,193,192,193,194,191,192,190,186,185,184,184,183,182,181,183,164,160,170,176,180,184,187,192,195,196,197,198,199,199,198,195,194,194,189,193,197,190,188,190,189,186,185,186,173,108,175,181,185,189,192,197,200,202,203,204,205,204,203,214,231,232,198,159,180,194,197,193,193,190,189,188,192,151,179,183,189,193,197,200,205,207,209,209,212,240,241,249,255,239,220,200,189,187,181,201,198,196,194,192,190,190,182,186,192,196,200,204,208,211,214,212,226,255,222,194,186,136,152,178,173,138,147,208,201,199,198,197,196,193,185,190,195,199,203,209,211,215,217,214,244,239,219,105,123,175,194,173,149,152,200,211,206,204,202,201,199,197,187,193,197,202,206,210,214,218,220,222,255,238,213,154,191,198,232,223,223,224,217,213,213,211,208,205,203,201,190,195,199,204,209,213,217,221,222,232,249,231,242,255,214,103,202,231,219,216,219,217,217,216,213,210,208,205,192,197,202,207,210,216,219,224,223,239,249,255,255,250,206,107,184,225,232,229,224,220,222,220,218,215,212,216,194,200,203,208,215,218,221,225,224,248,255,255,236,228,179,178,248,166,169,205,223,232,224,224,223,219,225,171,197,202,206,211,217,221,223,225,242,255,250,221,195,215,195,205,238,170,92,82,112,201,234,226,224,227,213,79,199,204,209,213,218,221,229,249,253,238,223,226,234,243,238,186,181,164,97,80,77,131,242,227,223,238,152,67,200,206,211,215,218,237,247,245,242,245,253,255,251,235,215,169,98,149,114,96,87,134,242,233,242,235,96,71,202,208,214,218,221,247,233,231,226,223,235,231,212,196,185,151,76,73,99,98,83,151,255,210,182,129,76,74,203,210,215,218,227,255,240,215,209,216,218,218,213,205,194,147,85,48,86,108,100,112,128,86,57,57,70,70,206,211,216,219,229,250,237,219,220,230,235,231,207,189,174,126,88,62,112,135,118,59,40,66,62,64,67,66,208,212,216,222,225,235,239,237,237,224,226,177,149,156,145,117,86,60,88,130,117,68,44,46,45,67,63,61,208,212,218,223,228,232,238,235,227,205,176,130,76,96,147,119,77,73,98,115,101,56,55,50,43,50,57,51,210,215,220,225,229,229,229,241,241,187,136,106,68,104,163,111,63,83,103,110,81,53,49,51,53,46,46,49,209,215,219,224,228,225,220,250,233,138,102,64,75,115,103,70,82,101,100,99,65,58,56,40,42,52,49,51,210,214,219,224,229,222,217,242,206,140,110,76,49,51,58,82,102,113,112,84,45,55,60,47,32,39,42,58,210,215,220,225,229,217,219,243,206,146,119,83,54,65,96,111,120,120,111,73,35,41,58,58,37,31,37,43,210,215,220,224,229,213,230,248,214,154,125,96,75,77,113,121,123,117,99,59,38,41,46,59,47,29,36,33,217,222,226,232,237,221,226,241,212,165,131,110,86,78,100,121,123,118,82,39,41,40,43,47,56,36,29,35,177,184,190,196,204,197,226,233,209,166,132,121,95,87,87,118,125,115,59,30,43,36,37,41,45,47,24,28,117,119,121,124,117,138,224,222,197,156,135,138,98,92,93,109,121,78,50,43,39,34,28,38,38,43,33,20,130,130,131,134,119,122,226,207,177,143,150,143,98,95,94,108,76,33,51,47,45,38,26,29,36,37,36,18
17,102,106,107,112,113,114,115,117,119,121,122,123,124,127,126,128,129,128,129,129,130,131,129,128,128,129,129,127,105,108,111,114,115,118,119,121,121,121,122,124,126,126,129,128,130,129,130,131,132,132,130,129,129,129,128,127,109,113,114,117,119,120,123,124,124,124,126,125,145,105,105,136,131,131,131,132,133,133,132,131,131,131,130,129,113,116,118,122,124,124,125,127,128,129,127,137,138,72,75,141,133,136,135,135,135,135,135,133,132,132,132,131,119,121,124,126,128,128,129,130,131,133,131,141,154,68,72,146,135,138,137,137,138,138,138,138,136,136,136,134,122,126,128,130,133,133,134,136,136,137,134,148,171,101,61,140,139,140,141,140,141,141,141,141,139,137,138,138,127,130,133,135,138,138,138,140,141,143,139,157,175,120,45,115,150,143,145,144,145,145,145,146,144,140,139,140,131,136,138,139,142,143,143,144,146,148,142,166,167,135,67,87,157,145,148,148,148,149,149,148,147,145,143,144,136,139,142,145,146,146,148,149,150,151,144,178,145,154,91,64,154,153,152,153,153,153,152,151,150,149,148,148,140,144,147,149,150,150,152,153,153,154,154,182,125,167,105,56,146,159,156,158,157,156,156,155,154,152,151,151,143,146,149,154,155,155,156,157,157,155,150,186,137,181,139,64,132,166,159,160,161,161,160,159,157,156,154,154,146,150,153,156,157,157,159,160,163,167,135,107,109,172,153,75,115,172,161,164,164,163,163,161,160,159,158,157,150,153,156,158,159,160,162,160,176,188,152,96,52,125,150,81,99,175,163,168,168,168,166,164,162,162,161,160,153,155,159,160,162,163,165,165,171,143,140,139,110,90,101,76,83,177,167,169,170,170,169,169,166,165,163,162,154,158,161,163,166,166,167,170,175,116,123,155,168,134,59,49,71,175,170,172,173,173,173,172,169,167,166,167,158,162,164,168,168,168,166,173,198,180,115,126,152,116,49,36,52,163,177,175,175,175,174,173,173,171,169,169,160,163,167,169,170,170,176,164,119,196,137,64,133,123,61,38,33,139,185,176,177,177,177,176,175,175,173,170,161,165,169,170,172,172,185,149,77,115,146,31,85,159,78,38,23,126,190,178,180,179,179,179,177,177,176,174,164,169,171,173,173,177,189,162,108,64,129,72,75,181,101,51,19,121,195,178,182,182,181,179,178,178,177,176,167,170,173,176,176,181,178,116,75,44,105,100,107,190,124,74,21,124,197,181,183,184,183,182,180,180,179,178,169,171,175,178,177,184,169,132,90,82,79,121,163,173,129,89,29,137,195,182,185,185,184,183,184,184,181,180,170,173,177,180,178,190,185,125,109,102,106,202,182,140,108,82,35,162,193,185,187,186,185,184,184,184,184,182,172,175,178,181,182,204,169,140,130,86,142,200,146,126,99,61,45,181,191,189,189,189,188,187,185,185,184,183,175,176,179,181,185,207,183,165,105,100,157,179,130,124,99,47,54,192,192,192,192,190,190,190,188,187,185,184,175,178,181,182,186,202,200,135,130,99,188,178,129,119,85,39,69,199,192,193,193,192,192,191,190,190,187,186,176,179,182,185,185,186,185,144,135,114,204,172,125,102,71,32,88,203,192,194,194,193,193,192,190,190,189,187,176,180,182,185,184,177,174,159,124,121,199,155,106,77,57,26,122,206,193,198,195,194,193,193,192,191,191,191,177,182,184,185,189,175,154,157,125,124,180,137,91,61,44,37,172,201,195,197,196,196,196,195,193,193,192,192
5,115,117,121,121,122,123,124,124,125,126,126,125,126,127,127,126,130,128,126,127,126,126,125,124,123,122,123,121,118,121,123,124,124,126,127,127,127,128,129,129,130,131,130,130,107,126,129,129,129,128,128,126,125,125,124,123,122,124,127,127,127,129,130,131,130,131,133,133,131,133,133,144,87,108,138,131,132,132,130,129,129,128,127,126,125,127,130,130,130,132,133,134,133,134,135,134,135,107,118,154,93,91,143,134,135,134,133,133,132,131,130,129,128,130,132,134,134,135,136,136,136,138,138,136,147,105,91,159,92,78,148,136,138,136,136,135,134,134,133,132,131,133,137,137,137,138,139,140,141,140,141,139,152,115,82,154,92,81,150,139,140,139,138,137,136,136,136,135,133,134,138,139,139,142,142,142,138,141,145,142,155,119,74,152,102,86,151,143,143,143,142,140,139,139,139,137,136,137,140,142,142,144,143,148,119,111,151,142,156,129,76,148,94,90,153,145,146,145,148,146,141,141,141,139,138,139,142,144,145,146,144,150,127,85,150,145,159,131,67,143,89,92,156,147,147,145,117,133,148,142,142,141,139,142,145,146,147,147,146,153,145,71,145,149,157,130,59,142,108,93,158,145,150,150,115,95,148,147,144,144,140,143,146,148,148,148,149,153,144,73,144,152,152,142,68,122,119,95,157,143,135,120,143,121,118,148,147,146,143,145,148,150,150,151,151,152,158,82,128,157,148,149,74,90,121,102,155,146,130,51,115,137,94,137,152,148,145,147,151,151,152,152,152,153,162,109,103,159,149,153,77,85,119,102,146,142,119,89,143,120,97,154,151,150,145,148,152,153,153,153,155,154,150,153,121,129,148,140,95,104,108,89,122,131,99,134,157,92,127,158,150,151,147,150,153,155,156,156,155,158,146,158,148,118,121,121,101,101,100,92,124,130,102,149,141,71,142,157,153,152,150,152,153,156,157,158,158,159,154,155,166,137,115,114,93,98,95,94,119,127,114,162,120,60,154,156,155,154,151,153,155,156,157,159,159,159,160,157,177,155,105,102,87,82,90,97,117,123,114,166,115,74,164,156,156,156,152,154,156,157,158,159,160,160,161,159,179,163,109,80,81,76,87,109,125,113,107,162,117,87,167,157,158,158,154,156,157,158,159,159,161,162,162,160,175,160,116,81,80,77,100,119,135,145,118,150,117,92,168,158,158,158,154,157,157,158,160,162,163,163,165,159,172,156,116,83,75,84,112,125,150,160,129,128,99,88,168,160,160,158,156,157,158,160,162,163,163,163,165,159,172,156,123,84,74,90,123,145,150,153,140,105,68,76,168,161,161,161,157,158,159,162,162,163,164,164,166,159,169,157,126,86,76,89,131,156,154,146,121,82,42,100,172,161,163,162,156,158,162,163,163,164,165,166,168,162,163,156,126,88,82,83,139,164,152,129,103,61,60,160,167,163,164,162,158,159,162,163,163,164,165,167,169,159,150,154,126,92,89,82,136,153,134,112,86,48,132,175,165,165,164,163,158,159,161,163,164,164,166,166,170,161,144,147,119,102,93,84,125,137,124,103,58,81,175,166,168,167,165,164,157,159,161,162,163,163,165,165,168,163,143,138,114,107,88,82,117,127,115,76,47,150,173,167,168,167,166,165,157,159,161,162,162,162,164,166,168,162,146,140,118,105,90,73,105,104,83,46,122,176,166,168,168,167,166,165,157,159,161,163,163,163,165,167,171,159,151,141,109,99,92,70,89,78,45,96,177,167,169,168,168,167,166,164
16,83,79,77,74,75,77,77,80,80,87,104,116,129,139,149,157,161,164,169,170,177,185,189,194,199,203,207,210,82,79,76,74,75,75,77,80,78,87,104,116,128,138,147,158,163,161,165,172,178,181,189,194,198,202,206,209,81,78,75,73,74,75,76,76,76,87,101,114,126,138,148,155,159,184,166,141,166,189,191,189,197,201,204,208,80,77,74,73,73,73,76,77,75,87,101,113,126,134,148,155,196,204,167,132,105,123,172,201,198,199,204,207,82,77,73,72,73,74,74,75,75,86,102,118,116,182,204,199,206,175,142,134,113,80,76,133,197,210,208,209,80,77,74,73,73,74,74,72,75,84,103,100,144,230,200,184,177,155,133,113,103,98,79,61,93,157,191,209,78,77,75,72,72,72,73,73,73,87,91,124,214,194,164,160,149,138,118,91,96,101,88,78,69,68,91,123,78,76,73,72,72,71,73,73,75,79,97,198,194,159,152,137,116,106,91,89,85,100,102,82,83,74,69,66,77,73,72,70,71,68,71,75,64,106,172,174,150,143,125,103,92,81,84,86,61,103,101,110,89,79,72,67,74,71,70,68,71,69,71,63,83,209,175,141,134,116,92,84,74,67,81,66,52,112,106,125,97,86,72,63,70,67,62,63,64,64,69,40,176,229,170,132,99,85,79,71,57,69,69,34,59,118,109,122,103,88,71,64,144,139,136,131,124,122,111,123,228,202,153,106,71,58,57,50,56,67,37,14,77,114,108,131,113,102,81,75,120,117,116,114,113,112,106,209,204,170,118,78,54,49,46,28,33,23,3,0,77,107,109,147,140,118,94,77,111,111,111,111,112,97,145,207,159,125,85,61,45,51,34,4,0,0,0,0,62,108,118,158,142,119,111,70,117,117,117,119,113,118,209,175,121,78,63,51,48,49,31,0,0,0,0,0,35,94,132,165,112,117,117,62,118,120,119,122,102,176,208,135,85,49,45,51,56,58,58,39,0,0,0,0,0,90,172,135,86,109,101,52,119,122,125,111,138,196,143,92,51,79,64,55,61,66,63,64,29,23,29,17,22,166,163,103,79,85,68,53,117,121,118,121,196,147,91,48,73,135,88,89,83,77,71,60,50,47,49,23,131,182,127,85,68,62,51,52,121,120,106,184,171,93,50,55,115,101,80,87,89,78,74,65,53,53,27,67,203,156,101,63,55,47,49,54,120,121,115,161,113,55,59,110,118,104,108,90,71,60,63,56,48,53,45,150,208,157,73,48,46,43,52,50,117,120,120,119,106,100,115,118,120,121,117,110,99,81,94,92,89,107,109,206,206,165,71,32,40,61,57,48,116,118,119,119,120,122,118,117,118,118,119,121,122,123,123,121,123,122,113,210,212,165,83,33,79,68,56,54,114,117,119,118,117,117,117,116,119,119,119,120,120,119,119,119,119,121,109,179,192,151,72,92,152,84,78,74,112,116,117,117,117,118,117,117,118,119,119,120,120,120,120,119,120,122,114,138,159,105,72,116,159,121,87,89,113,115,116,117,117,116,117,118,118,118,118,119,120,120,120,120,120,120,120,120,126,95,96,113,145,178,119,103,112,115,115,117,117,116,116,116,117,118,118,120,120,120,120,120,120,120,119,119,120,121,123,117,117,193,160,137,112,114,115,118,116,115,116,116,117,119,118,118,119,119,119,119,121,121,119,120,119,119,121,124,106,184,191,159,114,113,116,116,114,115,116,116,117,117,116,116,117,117,117,118,120,120,119,119,121,119,121,124,103,166,208,173
21,106,116,124,127,131,139,146,150,155,158,160,163,165,167,166,167,168,166,165,165,166,165,164,163,160,160,159,157,108,119,127,129,134,141,148,152,157,161,163,165,167,169,172,169,169,169,168,167,167,167,167,163,161,160,160,159,111,122,129,132,137,145,150,154,160,164,167,168,168,169,170,175,172,172,172,171,169,170,168,166,164,162,160,160,112,123,130,133,137,146,151,158,162,165,169,171,168,194,147,131,181,173,175,174,173,171,171,170,167,165,164,162,113,125,132,133,139,148,154,159,162,167,171,172,171,212,160,84,170,179,176,176,175,175,174,171,174,169,167,164,116,128,134,134,143,151,157,160,166,170,172,175,171,204,187,94,145,187,177,178,178,176,180,162,121,168,170,168,117,129,135,136,144,152,159,163,168,172,175,178,176,194,220,137,126,191,179,180,180,178,188,156,71,151,176,169,120,131,137,139,147,155,162,166,170,173,177,180,180,189,235,165,105,186,184,184,181,183,185,147,80,159,177,172,122,133,139,141,149,158,164,167,171,176,178,183,183,187,228,173,98,166,191,186,182,196,190,127,85,182,176,175,124,134,140,143,152,159,165,170,175,179,181,185,187,185,229,190,109,144,197,186,185,203,185,109,109,191,177,177,124,134,141,145,153,160,167,172,176,180,182,186,189,183,227,213,128,134,199,184,194,195,153,83,146,191,179,178,125,137,142,145,154,161,168,173,178,181,185,187,190,186,213,213,123,128,201,190,210,196,138,69,175,187,181,180,127,140,144,148,156,165,170,176,180,184,186,189,193,192,211,209,103,104,201,194,209,187,112,102,196,183,184,183,129,141,146,150,158,166,172,177,181,186,187,191,193,152,149,217,113,130,174,188,181,148,71,147,199,184,187,185,129,142,149,152,160,168,175,179,183,187,189,201,211,140,101,161,130,126,166,181,176,105,72,191,190,189,188,187,129,142,151,153,161,170,177,181,185,188,191,182,207,148,134,107,132,125,109,157,162,75,134,206,190,191,190,188,132,144,150,153,164,172,179,183,187,192,214,146,142,160,161,152,166,132,43,86,123,55,155,204,193,194,193,190,132,146,151,156,165,173,180,185,185,211,230,188,105,147,160,148,147,114,82,46,54,49,167,204,194,195,194,192,135,147,152,156,165,173,180,186,187,211,229,200,112,106,146,79,104,130,111,77,39,39,181,203,196,197,195,193,136,148,153,159,167,175,183,188,188,225,218,183,131,86,154,129,59,142,137,99,68,26,146,214,197,198,196,194,136,149,155,160,169,177,185,189,191,225,207,188,135,53,146,227,89,124,178,112,87,42,95,219,198,200,198,196,138,151,154,159,170,178,185,192,190,225,245,207,120,101,94,150,83,160,165,119,92,51,87,218,199,202,199,197,139,150,154,160,170,179,186,194,191,220,244,223,148,170,71,108,188,166,149,98,87,39,104,221,200,203,201,199,139,152,157,161,172,180,187,194,194,213,248,205,168,140,98,172,204,138,139,129,76,32,125,222,201,204,202,202,140,153,156,162,174,183,188,195,197,208,244,201,198,144,155,219,180,154,141,139,92,24,162,220,204,204,204,204,139,151,154,162,172,180,187,195,198,202,231,204,198,157,168,216,177,156,125,113,69,38,201,211,206,205,205,204,139,150,153,161,172,180,187,192,197,204,221,206,191,167,128,174,149,119,94,78,28,88,223,206,207,204,204,203,142,151,155,163,173,180,188,192,206,170,166,218,186,154,112,116,120,106,79,58,27,168,220,208,207,205,205,203
1,131,134,136,137,137,139,141,140,140,141,141,141,144,144,144,143,144,144,141,143,143,143,143,141,141,142,141,140,135,139,141,141,143,143,143,144,144,146,146,146,146,148,146,147,146,148,148,145,145,145,146,146,144,143,142,142,140,143,144,145,147,148,147,149,149,150,151,152,151,150,153,151,153,140,140,153,149,150,149,148,147,145,145,144,145,148,148,151,151,151,152,153,154,156,156,155,157,157,117,144,173,134,80,162,154,153,153,152,150,150,149,149,149,153,153,157,156,155,156,157,157,159,161,158,169,171,74,136,179,118,73,161,150,160,157,155,153,153,152,151,153,156,157,160,160,160,160,163,162,162,159,149,182,156,74,150,175,94,96,159,91,142,166,158,158,157,157,156,157,158,159,161,165,165,164,166,166,171,152,101,159,134,79,169,169,79,118,171,75,120,175,161,161,160,160,159,160,161,162,166,169,167,169,169,166,182,149,82,136,129,89,181,173,88,141,174,75,121,179,165,166,163,163,162,163,165,167,170,172,173,170,173,170,184,127,84,133,119,100,172,155,86,160,168,68,128,179,169,170,168,167,166,166,168,171,173,174,176,175,175,173,191,122,95,119,101,81,164,129,82,178,169,74,142,181,175,173,172,171,170,169,170,174,175,177,176,178,179,177,191,111,89,119,112,71,181,123,99,188,152,77,156,182,177,176,175,175,174,172,175,176,178,178,178,179,180,182,195,123,75,119,113,75,186,118,116,188,138,75,170,184,179,178,177,176,175,174,178,180,181,182,183,183,180,185,197,129,59,98,79,62,157,86,147,193,139,84,185,185,183,181,180,178,177,176,178,181,184,184,185,185,183,190,197,133,88,133,150,128,158,134,119,174,126,99,196,184,185,184,184,183,180,179,182,182,184,185,187,187,185,198,193,144,111,91,153,184,176,175,106,107,108,115,201,187,188,186,185,183,183,180,184,184,185,188,189,190,189,207,178,128,96,64,73,111,137,191,167,82,46,141,202,188,190,188,187,186,184,184,185,188,189,190,192,192,192,214,182,127,83,73,78,82,129,207,202,129,38,164,201,191,192,191,192,190,187,184,187,190,192,192,194,190,198,214,175,120,89,88,95,143,170,168,193,150,66,173,201,193,193,192,192,191,192,186,188,190,193,194,196,191,202,211,172,126,88,102,107,178,196,171,146,124,66,133,209,193,196,195,194,192,192,187,188,192,194,195,198,194,204,211,175,132,106,105,138,206,194,161,132,88,49,140,212,196,197,197,198,194,193,190,191,193,195,195,197,197,205,209,174,133,120,104,158,215,197,146,114,74,44,174,209,199,200,199,198,196,193,191,194,194,197,197,197,199,202,205,174,144,130,105,155,215,185,133,99,58,70,200,202,200,201,199,199,199,197,192,195,195,197,198,199,199,201,200,176,151,143,101,159,205,162,118,84,46,139,214,202,202,202,203,203,201,201,192,196,199,198,199,201,202,203,204,181,153,142,100,169,186,150,112,66,62,195,208,205,203,203,204,204,201,201,193,197,200,200,200,202,200,202,210,182,160,129,102,162,150,130,97,48,109,219,205,208,207,206,206,205,203,201,194,196,199,202,201,203,195,203,210,203,171,125,116,149,127,117,85,47,171,216,207,210,210,208,207,206,203,202,194,194,196,199,200,199,194,207,205,201,172,133,131,136,120,106,58,103,213,209,210,210,210,208,208,207,205,204,195,196,198,198,199,194,196,195,178,180,162,130,127,112,106,71,64,189,214,210,210,209,209,208,207,207,205,204
24,137,144,152,158,163,168,172,177,180,184,189,193,195,197,199,201,201,203,203,203,204,206,205,206,206,206,205,204,139,147,155,160,166,170,174,179,184,187,191,194,198,201,203,203,203,204,205,206,207,208,209,211,209,209,208,208,142,150,156,166,169,173,177,180,186,190,195,197,200,203,205,205,206,209,210,209,211,211,213,213,212,211,212,212,143,153,162,150,172,176,180,184,188,193,197,200,203,205,208,209,210,212,213,213,214,213,214,215,213,213,215,214,144,158,169,91,139,184,180,187,191,195,198,202,204,208,211,212,212,213,213,215,216,214,215,216,216,216,216,215,147,158,158,85,82,190,182,190,194,197,202,203,205,209,213,213,213,215,216,219,219,216,218,220,219,219,220,219,149,159,169,109,54,169,189,189,197,200,202,208,213,215,215,220,220,216,220,220,221,220,220,221,221,221,221,220,150,159,173,132,49,132,199,192,197,201,209,206,188,206,222,190,204,225,219,221,224,222,220,222,223,223,221,224,154,163,174,154,81,81,197,191,145,128,192,202,146,99,160,171,114,189,230,222,223,223,223,223,224,212,187,136,155,164,170,182,119,51,151,184,154,135,141,216,174,96,131,190,109,96,235,224,224,225,225,226,214,188,127,99,157,164,171,183,144,89,96,167,208,181,132,199,192,120,157,191,108,69,215,232,228,228,226,218,196,138,101,215,157,166,172,178,176,134,94,81,205,197,128,171,201,120,150,194,110,48,187,239,228,230,220,213,172,86,172,243,159,167,175,180,190,145,108,109,149,212,150,140,208,129,130,202,135,41,169,244,231,215,217,207,126,80,229,233,161,170,177,183,190,167,181,161,122,178,156,88,180,123,97,199,157,47,118,246,198,193,212,166,75,176,242,231,162,171,177,184,185,201,199,124,83,113,144,57,136,122,82,244,199,40,41,132,159,190,174,90,132,247,232,237,161,169,177,184,187,198,183,134,103,100,128,92,119,137,79,128,104,46,105,147,162,157,110,87,229,238,236,237,162,171,176,182,188,191,215,189,130,109,105,123,87,169,116,88,169,183,192,171,128,112,63,167,248,232,237,236,162,172,177,182,187,192,215,204,167,139,110,95,102,157,187,229,225,205,185,157,109,77,92,233,234,234,237,236,162,170,178,183,189,193,213,216,200,159,114,85,137,196,231,220,209,188,168,136,94,69,196,242,234,239,239,238,163,171,178,182,191,193,214,225,213,158,113,108,162,210,226,217,199,171,141,117,67,147,247,234,238,239,239,240,162,170,178,184,190,193,205,219,223,170,145,152,156,209,221,215,189,160,128,90,82,231,237,235,238,239,240,240,156,166,175,181,189,195,200,211,216,182,154,165,135,185,206,197,175,154,113,68,174,254,239,241,240,242,243,242,96,101,102,106,110,118,118,167,210,179,158,154,111,144,179,159,147,124,88,97,206,207,213,217,220,225,231,234,84,84,86,88,87,89,82,104,213,188,146,132,96,134,172,145,117,96,76,90,97,98,103,105,107,112,113,112,90,91,96,97,98,98,101,94,196,175,131,117,110,138,167,133,99,73,75,102,101,102,102,104,97,94,105,124,89,89,91,93,92,95,96,92,201,169,145,139,138,140,150,119,81,63,84,104,104,104,105,110,134,186,199,181,90,91,96,94,94,97,95,100,219,192,173,166,146,128,139,103,72,61,93,106,104,106,98,134,223,211,233,196,92,93,95,95,95,97,94,106,210,191,185,172,129,116,129,89,72,57,93,106,104,105,104,205,251,202,184,231
7,115,128,137,144,148,151,153,154,157,160,161,162,162,164,165,165,165,165,164,163,162,159,158,157,155,154,152,150,117,129,138,144,149,153,153,155,159,162,163,164,165,166,166,166,166,166,165,164,163,162,160,158,158,157,155,152,118,131,139,145,151,153,155,157,160,164,164,166,167,168,169,169,168,167,167,167,164,164,162,160,160,158,157,155,120,131,141,146,151,154,157,159,162,164,164,167,170,170,171,170,170,169,170,169,167,165,165,164,162,161,159,157,121,132,141,148,152,156,158,161,164,165,167,169,170,171,171,172,172,171,171,171,169,167,166,165,164,162,161,158,122,132,142,149,153,157,158,162,165,166,169,170,170,172,172,172,172,172,171,171,170,169,168,167,166,164,162,160,123,134,143,150,156,158,159,162,166,167,169,171,172,174,175,178,180,180,178,176,176,175,171,170,170,165,163,162,123,134,143,150,156,159,161,166,171,173,174,174,171,170,166,158,149,146,145,147,134,121,137,140,152,168,164,164,124,134,144,150,156,161,159,146,138,132,131,131,123,109,102,109,81,85,93,92,89,87,137,131,115,172,166,165,125,136,145,150,156,159,141,107,92,102,103,108,107,99,91,81,77,77,81,73,82,79,89,82,117,168,170,166,127,136,145,150,155,148,130,95,74,81,83,86,90,92,94,95,97,79,79,91,84,79,72,66,84,105,136,170,126,137,145,145,141,130,122,104,88,83,91,101,107,109,109,105,98,69,70,93,81,71,72,61,77,94,89,167,132,143,140,137,130,129,125,111,104,105,110,118,108,105,101,96,74,59,59,61,54,50,50,47,52,65,113,173,150,144,140,137,137,134,118,89,68,78,91,93,80,72,68,61,57,73,89,107,118,128,134,139,143,151,170,171,152,146,146,143,133,113,108,68,52,69,65,46,70,120,133,153,164,176,185,190,189,188,186,185,182,179,173,172,149,148,145,130,111,108,96,65,53,43,31,23,41,81,82,134,195,184,182,180,180,179,178,177,175,174,173,171,151,149,133,115,104,96,99,98,73,41,37,43,39,29,19,23,169,188,184,184,182,182,181,180,179,175,174,172,147,132,110,103,100,99,109,114,82,43,42,45,45,44,38,38,172,189,184,184,184,183,182,181,180,178,177,173,124,109,97,96,92,86,92,87,54,36,29,28,36,36,33,26,161,191,183,184,185,184,182,181,179,179,176,173,107,100,95,94,89,74,71,61,45,27,19,31,41,42,29,35,160,192,184,186,185,183,181,181,179,179,175,173,102,94,88,81,71,58,55,63,59,38,41,51,48,31,48,168,191,186,187,186,185,184,181,180,180,178,177,174,89,77,73,68,66,65,73,82,67,45,35,34,43,65,159,193,185,186,186,185,185,183,181,180,180,178,177,174,84,80,78,72,68,68,72,68,43,38,90,130,158,183,187,181,185,183,184,183,182,181,180,178,177,177,174,173,77,78,75,67,58,54,49,48,76,146,184,187,185,181,181,184,185,184,183,183,182,181,180,179,179,176,174,171,45,47,61,59,61,69,102,146,175,180,175,177,179,181,183,184,185,184,184,183,182,181,180,179,178,175,174,171,0,1,136,136,148,161,170,171,170,173,175,179,180,180,181,182,182,182,182,182,181,180,179,178,175,172,171,169,0,18,150,149,158,160,160,166,171,174,176,180,182,184,184,184,184,184,185,184,185,183,181,181,178,177,176,173,0,53,168,150,153,155,156,156,157,158,155,156,157,158,157,153,151,151,149,145,141,139,136,133,129,124,118,86
21,84,92,104,117,124,132,136,139,143,144,147,153,154,156,157,160,161,163,164,165,165,165,166,167,166,166,166,166,85,94,107,119,126,133,138,139,145,168,116,124,160,156,159,162,163,164,165,166,168,168,168,168,168,168,168,168,86,93,109,121,129,135,139,140,151,180,106,105,164,157,162,164,164,166,165,168,168,169,170,170,170,170,170,170,88,94,110,122,129,135,140,142,152,177,116,102,162,159,163,165,167,166,167,169,172,172,171,172,172,171,172,171,90,96,111,124,131,137,141,144,151,172,120,98,159,162,164,165,168,169,171,168,142,165,175,173,174,173,172,173,91,99,113,124,133,138,141,146,152,174,132,98,155,164,165,168,170,169,174,153,98,143,181,174,175,175,175,175,92,100,116,125,134,140,144,148,151,172,139,98,147,168,167,170,171,175,171,136,100,167,180,175,176,177,177,176,94,102,117,127,135,141,146,150,149,172,141,98,132,172,167,170,171,180,160,115,121,185,176,177,177,178,178,176,93,103,118,128,135,141,147,150,150,182,148,101,125,173,168,169,176,175,145,104,161,183,179,179,179,179,178,178,94,104,122,130,135,141,146,151,151,190,156,111,126,174,168,172,175,158,123,118,184,178,181,181,181,180,180,179,95,107,122,129,137,142,147,150,151,178,144,109,120,176,169,177,174,151,99,153,186,180,182,182,182,182,182,181,96,108,122,130,138,143,152,165,135,153,125,98,115,177,169,175,172,131,112,183,181,181,182,182,182,182,183,182,97,109,124,132,139,137,174,199,136,119,101,88,111,162,162,168,158,100,152,188,182,183,184,183,183,184,183,183,98,111,125,133,140,140,168,175,131,96,82,89,118,152,158,153,118,106,185,181,183,184,184,184,184,185,184,183,98,112,126,134,136,164,184,140,125,101,72,80,106,136,141,126,90,149,189,182,184,184,185,185,185,185,185,184,99,114,126,133,140,203,179,164,141,131,86,74,98,114,126,108,102,182,183,184,185,186,186,186,186,185,185,185,101,115,128,132,158,178,172,189,179,145,100,78,90,100,112,90,136,189,182,185,185,186,186,186,186,186,186,186,102,118,129,131,173,160,166,186,184,126,91,83,82,95,96,82,163,188,184,186,186,187,186,186,187,187,186,186,103,117,127,135,184,151,135,120,145,120,98,88,84,82,88,84,166,188,184,187,187,188,189,189,188,187,186,186,104,119,127,144,180,133,121,119,131,130,107,89,83,84,84,81,163,190,185,188,188,189,190,190,189,188,188,188,105,121,125,153,185,153,150,127,128,159,114,97,90,85,82,82,168,190,187,188,188,189,190,190,190,189,189,189,107,122,124,156,182,166,147,124,184,197,128,116,101,82,81,84,174,189,187,189,190,190,190,190,190,190,190,189,108,122,124,156,193,168,136,144,206,178,136,117,104,82,78,96,183,186,188,190,190,190,190,191,191,190,190,190,109,123,126,154,188,149,141,152,191,153,127,109,104,88,75,114,191,185,188,189,190,190,191,191,192,192,191,191,110,123,129,147,174,145,154,146,180,148,135,107,97,88,72,130,193,185,188,190,190,191,192,192,192,192,191,191,111,122,129,143,160,160,168,145,180,148,135,123,91,85,74,142,194,185,189,191,192,192,193,193,193,193,192,192,109,119,129,137,159,179,154,141,179,141,120,111,88,81,78,161,188,185,189,191,190,190,191,192,192,192,192,192,109,119,129,135,153,175,154,133,157,128,104,93,84,76,83,171,185,184,187,187,188,190,191,191,192,192,192,192
7,143,144,146,147,147,148,146,147,147,147,145,144,145,143,143,141,141,139,138,138,138,137,135,140,109,15,5,17,145,145,147,148,149,149,149,148,147,148,147,146,146,145,148,144,143,141,139,137,140,135,134,140,130,95,73,64,146,148,150,151,152,152,151,151,150,151,149,146,148,140,124,135,138,134,122,123,118,121,144,131,106,61,134,131,149,150,152,153,152,153,153,152,151,149,150,151,153,143,120,125,144,140,120,115,110,113,148,114,95,89,154,98,150,152,153,153,153,153,153,153,157,161,168,168,162,138,127,132,117,107,109,97,97,85,83,105,121,99,93,73,152,153,154,155,156,156,148,153,166,173,172,163,155,147,144,140,117,83,109,119,105,100,89,90,75,97,92,123,153,154,157,155,169,172,157,152,158,161,157,155,153,151,151,135,115,102,109,116,107,106,100,82,61,91,90,98,154,155,158,160,187,178,165,152,153,159,159,157,155,151,149,135,113,99,87,79,72,73,66,61,57,59,76,133,156,158,156,174,190,178,156,134,139,154,158,154,146,131,116,99,83,90,84,86,93,103,106,105,116,124,132,125,159,160,158,187,185,174,143,126,142,136,127,119,106,98,91,78,73,98,163,156,155,156,155,154,150,147,148,111,160,156,171,193,182,168,153,147,138,123,124,129,126,120,115,112,120,64,75,148,154,151,151,148,146,144,144,143,160,158,189,190,184,180,181,166,133,131,136,134,128,114,110,106,100,71,6,71,163,152,152,150,149,147,145,145,156,170,195,189,187,187,188,167,118,118,126,121,115,105,100,91,79,59,18,43,161,153,154,153,151,148,147,145,160,189,193,191,188,185,179,152,122,114,92,73,71,87,99,106,115,91,29,105,161,153,155,153,152,152,148,145,180,195,192,190,188,179,169,152,134,117,98,87,103,135,134,116,121,102,98,168,154,155,155,154,152,152,150,146,191,193,194,191,182,173,163,141,125,133,120,112,129,127,114,105,103,72,98,169,157,157,156,155,154,152,151,148,193,194,191,188,178,163,137,128,145,150,126,117,119,110,105,97,87,42,118,168,159,159,157,156,155,153,152,149,193,192,189,184,170,150,148,158,166,153,133,109,92,77,65,50,45,82,160,162,162,162,159,156,155,154,152,150,192,187,180,172,164,161,164,161,155,140,112,87,56,94,70,84,132,164,165,164,162,161,160,158,155,154,152,151,186,179,171,169,166,170,161,143,140,128,108,71,101,171,170,173,173,165,166,164,161,160,161,160,157,155,154,151,175,169,171,168,162,160,152,139,138,116,69,98,176,169,168,167,167,168,167,165,164,161,161,161,158,157,155,153,167,159,162,161,152,146,140,132,112,68,82,173,171,170,169,168,168,167,166,164,165,164,162,160,159,157,153,149,165,160,155,146,135,131,124,108,66,74,167,173,168,169,168,168,167,167,165,164,163,162,161,160,155,157,158,144,162,154,142,127,113,110,94,58,78,164,175,172,171,171,169,168,167,167,165,164,164,163,160,157,165,134,66,110,143,129,114,96,87,70,48,90,169,176,172,173,172,172,170,168,168,167,166,164,163,161,163,165,144,54,5,11,120,107,97,89,68,67,122,178,175,172,173,173,172,172,170,169,169,168,165,165,170,171,151,96,35,13,9,4,115,111,93,68,67,169,182,173,173,173,173,173,172,172,171,169,169,170,172,163,135,90,38,12,10,14,9,7,134,122,94,55,81,184,171,174,173,172,173,173,172,171,170,168,163,154,115,62,21,0,5,9,4,6,6,6
23,48,51,54,63,72,81,88,91,94,98,104,108,111,114,115,117,121,122,125,125,124,124,125,125,126,126,124,124,48,51,55,64,74,83,90,93,95,101,106,110,113,115,116,119,123,124,125,126,126,126,126,127,127,126,125,125,48,52,55,65,75,84,91,94,96,102,107,111,114,116,118,121,123,125,127,128,128,129,129,128,129,128,127,127,49,51,55,66,76,85,92,95,97,103,108,113,116,118,122,123,125,127,129,129,129,129,129,129,129,129,129,128,51,53,55,66,77,86,93,96,100,105,109,115,116,119,122,124,126,128,128,129,130,129,130,129,130,130,130,127,50,52,57,68,78,87,93,97,101,106,111,115,117,121,123,125,127,129,129,130,133,132,131,131,130,130,130,129,49,52,58,69,78,89,95,96,100,107,112,116,119,122,125,127,129,129,132,132,130,131,129,132,134,131,129,130,50,53,59,69,80,89,96,99,102,108,114,118,121,123,127,129,129,132,132,129,155,163,140,133,129,131,132,130,50,53,59,71,80,90,96,99,103,109,115,120,122,125,128,130,132,132,136,172,185,149,145,124,70,126,136,133,50,53,59,71,81,92,98,101,105,111,117,120,123,127,129,132,131,141,192,165,130,71,98,105,108,137,134,135,51,53,60,72,83,93,99,101,105,112,118,122,125,128,129,133,129,173,209,94,51,111,139,139,142,137,136,136,50,52,60,73,84,94,100,102,107,113,119,123,127,129,133,134,135,193,194,130,142,132,127,142,139,139,138,137,50,53,60,73,84,94,101,103,108,115,119,125,130,129,131,133,157,203,196,199,187,101,93,152,139,140,140,138,50,53,62,74,85,96,102,104,109,116,120,128,126,140,161,169,189,143,165,155,143,85,63,127,140,143,142,140,50,54,63,75,86,97,104,107,111,116,123,124,144,175,169,176,192,152,179,180,151,82,51,99,122,149,142,143,51,54,63,76,87,98,105,108,113,119,122,135,176,157,150,155,155,136,157,171,136,72,43,66,81,154,145,144,51,53,63,76,88,99,106,108,113,121,119,181,198,174,164,165,153,141,140,107,91,72,38,69,52,101,151,145,51,54,63,76,88,99,107,109,114,121,125,196,199,176,140,142,156,152,142,91,69,79,29,66,69,61,131,151,51,53,63,78,88,100,107,109,114,120,128,192,194,161,116,88,99,117,121,78,76,77,23,63,71,77,143,150,51,53,64,78,89,101,107,108,114,120,131,198,197,132,82,62,33,127,120,68,84,55,41,74,69,109,156,149,50,53,66,78,89,101,108,110,117,120,134,206,184,127,85,47,55,128,98,72,60,27,58,80,83,149,153,153,50,52,65,78,90,102,108,110,118,119,142,207,175,124,89,57,48,58,59,41,34,42,59,71,114,162,153,154,48,50,65,79,89,100,107,108,117,117,150,205,168,123,89,54,23,30,35,46,64,65,64,69,142,157,154,154,47,49,63,77,90,101,108,110,118,118,161,202,163,124,89,63,42,54,67,73,79,72,61,107,160,156,155,154,46,49,62,76,89,102,109,110,119,119,159,192,155,120,92,69,53,58,77,81,82,67,80,159,158,157,157,156,44,48,61,76,90,101,109,110,119,119,161,183,145,121,97,75,64,60,79,84,84,61,118,166,156,158,157,156,40,44,58,74,89,100,107,110,117,119,169,173,149,137,111,85,71,61,77,83,73,85,157,160,159,157,157,157,43,47,59,73,85,98,104,108,116,121,182,179,162,150,123,91,75,66,75,76,77,142,163,156,157,156,157,157
12,228,231,231,232,233,234,236,236,236,237,237,238,238,239,238,239,239,238,239,239,237,238,238,238,236,237,237,235,230,231,233,235,235,236,238,238,237,239,238,239,240,239,240,240,240,240,241,241,239,238,238,240,238,238,239,238,230,231,234,237,237,239,241,241,240,241,241,242,241,241,242,243,242,243,244,242,240,241,241,240,240,240,240,239,232,234,235,237,238,239,242,243,240,241,243,243,243,242,243,245,245,246,244,243,243,244,243,242,242,243,241,241,235,237,238,239,239,239,243,244,242,242,243,246,243,255,245,239,248,244,247,249,245,246,245,245,245,245,243,243,238,239,240,241,242,243,244,246,243,255,255,238,254,255,255,197,214,255,248,228,248,245,247,247,247,246,246,244,239,240,241,242,244,246,247,242,255,255,255,219,239,255,255,176,147,255,250,178,206,253,246,249,248,248,248,247,239,240,244,245,246,245,248,238,255,255,255,218,222,255,255,188,134,255,239,176,141,251,252,250,249,249,250,249,240,243,245,247,247,249,248,243,255,255,255,217,217,255,255,206,170,255,217,157,118,231,255,252,252,250,250,250,242,245,246,247,249,245,255,255,244,255,255,253,190,255,255,205,196,255,229,151,107,218,255,252,254,253,253,252,242,246,247,248,248,250,255,255,214,199,252,237,159,255,255,162,203,255,209,139,104,210,255,254,255,254,254,252,245,248,250,252,245,255,255,255,244,169,216,175,112,175,181,125,212,224,145,110,102,207,255,255,255,255,255,255,247,250,251,253,248,255,255,255,254,192,173,168,97,89,112,216,247,216,157,160,139,211,255,255,255,255,255,255,249,251,255,252,254,255,255,255,255,223,151,125,138,113,215,255,255,255,220,218,173,214,255,255,255,255,255,255,249,254,254,251,255,255,255,255,255,227,169,123,125,198,255,255,255,255,223,205,160,190,255,255,255,255,255,255,252,255,255,250,255,255,255,233,255,227,184,133,118,255,255,255,255,255,230,189,144,191,255,255,255,255,255,255,254,255,255,251,255,255,255,255,233,225,241,169,167,255,255,255,255,255,214,183,138,195,255,255,255,255,255,255,255,255,255,254,255,255,255,255,229,200,229,218,255,255,255,255,255,251,211,179,142,169,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,218,255,255,255,255,255,255,245,217,171,139,158,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,255,255,255,255,255,248,210,167,124,188,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,249,194,158,120,243,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,181,131,158,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,255,255,255,255,254,245,209,157,112,235,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,229,183,118,161,255,255,255,255,255,255,255,255,255,251,245,237,219,233,226,194,189,186,184,192,185,194,178,165,159,139,105,255,255,255,255,255,255,255,255,255,185,179,168,157,133,119,115,107,97,87,78,74,57,55,56,53,53,58,64,129,214,255,255,255,255,255,255,255,157,158,160,150,134,124,120,110,101,92,86,75,63,61,60,57,52,48,44,33,39,251,255,255,255,255,255,255,177,156,160,147,134,123,116,107,100,87,80,72,61,58,59,56,49,44,49,31,116,255,255,255,255,255,255,255
4,174,177,179,180,184,185,187,190,193,194,198,197,197,201,201,200,203,203,201,202,203,204,204,204,202,202,202,202,178,180,182,184,186,188,190,192,193,195,200,199,201,201,201,210,197,197,206,204,204,205,206,205,205,204,204,204,181,184,185,188,190,191,192,195,196,197,198,206,194,213,250,239,178,133,196,209,208,210,207,208,207,207,206,206,183,186,188,191,193,194,195,200,204,206,231,230,173,149,203,221,166,117,123,155,153,196,213,209,210,209,208,206,186,188,191,193,196,197,203,200,174,232,252,234,182,125,102,196,162,115,95,141,121,128,218,210,212,211,210,209,189,191,194,197,198,199,245,230,172,178,181,234,187,141,86,146,185,142,97,158,158,119,212,213,213,212,212,212,191,193,196,200,195,228,236,227,224,196,136,189,212,162,65,149,217,171,133,149,170,143,201,220,215,215,214,215,195,198,200,200,205,247,217,176,180,157,105,124,217,154,74,189,212,163,126,119,135,131,160,227,216,217,217,217,196,200,203,203,207,252,239,201,182,175,165,116,160,131,100,153,176,147,131,132,128,123,136,201,225,217,217,217,198,202,204,207,205,239,237,220,196,173,165,136,126,146,139,149,174,156,156,138,110,146,149,147,228,220,221,219,200,204,206,210,208,233,237,212,185,158,139,129,135,155,158,174,185,175,166,141,143,183,177,133,187,231,221,222,202,206,208,213,209,240,241,213,190,157,136,129,138,149,165,182,198,202,220,235,221,205,187,166,136,220,225,224,205,208,211,215,211,242,250,221,194,162,138,134,141,153,176,210,202,229,239,230,220,201,171,147,112,180,236,224,206,211,213,216,213,238,254,225,205,177,144,134,137,155,193,210,204,228,225,217,204,185,161,138,115,137,234,228,207,213,214,219,217,238,255,231,214,187,156,140,141,157,201,214,222,231,232,217,196,179,159,135,120,124,228,231,209,215,217,221,219,240,255,237,221,194,167,152,152,154,194,220,232,234,229,219,194,172,149,131,111,143,240,232,211,216,218,221,220,236,255,243,229,201,175,170,165,158,190,223,234,233,230,219,188,161,138,128,106,195,244,233,213,217,220,224,224,232,253,249,239,210,187,181,175,165,197,219,232,234,231,212,182,152,135,120,120,235,238,237,214,218,222,224,224,229,248,252,245,221,198,190,182,170,203,219,223,234,223,199,171,148,135,106,161,250,236,239,217,222,224,226,230,226,241,252,246,225,208,197,185,176,197,225,223,223,207,182,161,143,132,107,213,247,239,241,221,225,225,228,232,231,231,246,239,226,210,199,190,176,174,214,219,205,188,166,151,141,121,131,248,241,243,242,222,225,228,230,233,235,224,242,243,230,209,200,193,175,160,201,218,202,180,157,139,143,107,192,253,240,243,243,225,227,230,232,235,240,225,242,250,232,210,200,196,180,161,191,209,194,170,146,135,111,150,250,243,245,244,244,227,229,231,234,237,241,228,246,248,225,202,196,196,176,158,184,196,181,151,138,111,143,243,247,245,245,243,246,228,231,234,237,238,241,234,248,244,216,198,201,198,182,161,174,179,166,138,120,124,239,251,244,247,253,255,245,228,233,235,237,239,244,228,245,250,219,210,213,205,194,166,162,162,157,134,104,200,255,243,254,254,226,174,131,232,234,237,239,240,247,231,246,255,224,221,230,207,197,165,150,150,154,121,120,241,246,255,220,144,100,86,84,233,236,237,240,241,249,196,242,255,240,240,239,209,196,164,147,151,156,109,151,255,252,200,110,94,77,78,74
21,140,150,157,159,164,171,177,181,186,189,190,193,196,197,197,197,198,196,195,196,196,195,195,193,191,190,190,188,142,152,159,162,166,173,179,183,188,192,193,196,197,199,201,199,199,199,198,197,197,197,197,194,191,190,190,190,145,155,161,164,169,177,181,185,190,194,197,198,198,199,200,205,202,202,202,201,199,200,198,196,194,192,191,191,145,156,162,165,169,177,182,188,193,195,199,200,198,223,178,164,210,203,204,204,202,201,200,200,197,196,194,192,146,158,165,166,171,179,185,190,193,197,200,202,201,239,191,120,200,209,206,206,204,204,204,200,204,199,197,194,149,160,166,166,174,182,187,191,196,200,202,205,201,232,216,129,176,216,206,207,208,205,209,192,154,198,200,198,150,161,167,168,176,183,189,193,198,202,205,207,206,222,246,169,158,220,208,209,209,207,217,187,107,182,206,199,153,163,169,171,178,186,193,196,199,203,207,210,209,218,255,195,139,214,213,213,210,212,214,178,115,189,207,201,155,165,170,173,180,189,194,197,201,206,208,212,212,216,254,203,133,196,220,215,211,224,219,159,121,211,205,205,156,166,172,175,183,190,195,200,205,208,210,214,216,214,255,218,143,176,226,215,214,231,214,143,143,219,206,206,157,166,173,176,184,191,197,202,206,209,211,215,218,212,253,240,160,166,227,213,223,223,184,118,177,219,209,208,158,169,174,177,185,192,198,203,207,210,214,216,218,215,240,240,156,161,229,219,238,224,170,105,204,216,210,209,160,171,175,179,187,195,200,205,209,213,215,218,221,221,238,236,137,138,229,222,237,216,146,136,224,212,213,212,162,173,177,181,189,196,202,207,210,215,216,219,222,183,181,244,146,162,204,217,211,180,107,178,227,213,215,214,161,173,180,183,190,198,205,208,212,216,217,229,238,172,135,191,162,158,196,210,206,139,108,219,219,218,216,216,162,174,182,184,192,200,207,210,214,217,219,212,234,179,166,141,164,158,143,188,192,111,166,233,219,220,219,217,164,176,181,184,194,202,208,212,215,220,241,178,173,190,192,183,196,164,81,122,156,92,186,232,222,222,221,219,165,177,182,187,195,203,209,214,214,239,255,217,139,178,190,179,179,148,117,83,91,86,197,232,222,224,223,220,167,179,183,187,195,203,210,215,216,238,255,228,145,140,178,114,138,162,145,112,77,77,211,231,224,225,224,222,168,179,184,189,197,205,212,217,217,251,245,212,164,121,185,162,96,173,169,133,104,65,177,241,225,226,224,223,168,180,186,190,199,206,214,218,220,252,235,217,167,90,177,253,124,157,208,145,122,80,130,246,227,228,226,224,170,183,184,190,200,207,214,221,219,252,255,234,153,135,129,181,118,190,195,152,126,88,122,245,228,230,227,225,171,181,185,191,200,208,215,223,220,247,255,249,180,200,107,141,217,196,180,132,122,77,138,247,228,231,229,227,171,183,187,192,202,209,216,222,222,240,255,233,198,172,132,202,232,169,171,161,112,71,158,249,229,232,230,230,172,184,187,192,204,212,216,224,226,235,255,229,226,176,186,246,210,185,173,171,127,63,192,247,232,232,231,231,171,182,185,192,202,209,216,223,226,230,255,232,226,188,198,243,206,187,157,146,105,77,229,239,234,233,233,232,171,181,184,191,202,209,216,221,225,231,248,234,220,197,161,204,180,152,129,113,67,123,250,234,234,232,232,230,174,182,186,193,202,210,217,220,234,200,196,245,215,185,146,150,153,140,114,95,65,198,247,235,235,232,232,231
3,163,166,169,171,173,174,176,177,178,177,178,177,176,176,176,176,173,172,173,170,169,169,168,166,165,163,161,160,166,169,171,173,175,177,178,179,180,180,180,179,178,178,178,176,183,174,157,175,171,171,170,168,166,165,164,162,167,171,173,175,178,179,181,181,182,182,182,182,181,180,180,176,196,176,114,169,176,172,171,171,169,167,165,164,169,172,175,177,179,181,182,183,184,183,183,183,183,182,182,178,195,175,109,154,181,174,173,172,170,169,167,165,171,174,177,179,181,182,184,186,186,184,184,185,185,185,184,180,194,177,112,149,184,175,176,175,173,170,169,167,173,176,178,181,183,184,186,188,188,187,187,187,187,186,185,181,196,200,130,140,185,178,178,175,174,172,170,168,174,177,180,181,184,186,188,190,190,190,189,188,189,188,187,182,199,208,133,127,185,180,179,177,176,173,171,170,175,179,182,184,187,189,190,191,191,191,192,191,191,190,190,186,201,201,127,120,185,180,180,179,177,175,173,171,177,180,183,186,189,191,192,193,193,193,193,192,192,192,192,186,209,207,134,122,186,183,181,181,179,176,174,172,179,182,186,189,191,192,194,195,195,195,195,194,193,192,191,188,184,179,133,118,186,185,183,182,180,177,175,174,181,185,188,191,192,195,196,197,198,197,197,196,195,192,202,206,142,109,100,114,192,184,185,183,181,179,177,175,183,187,191,192,195,197,198,199,200,199,198,200,206,193,153,163,186,142,85,134,201,190,187,185,183,181,178,176,185,189,192,194,197,199,201,201,203,200,203,174,190,194,132,107,208,151,116,118,148,167,189,186,184,182,179,177,186,191,194,196,198,200,202,204,203,208,214,163,121,178,162,117,172,153,133,117,139,120,164,192,184,183,182,179,188,192,195,197,200,202,203,204,206,225,211,191,140,150,174,113,132,167,154,132,145,105,148,197,186,185,182,180,190,194,197,199,201,203,206,203,218,211,204,201,149,125,159,111,129,138,115,132,127,95,143,199,187,186,183,181,191,195,198,202,203,204,207,205,229,217,182,187,151,109,142,109,132,181,104,145,154,100,133,201,189,188,185,183,192,196,199,203,204,206,208,209,216,200,168,176,131,96,139,95,129,213,117,126,166,104,111,199,190,190,187,184,193,197,201,203,205,208,210,209,214,220,199,173,126,116,135,110,107,164,123,129,142,99,106,197,192,191,188,186,194,199,201,203,207,208,210,210,221,226,212,175,130,116,145,132,165,198,165,148,117,86,149,204,192,192,190,189,193,199,202,204,208,209,211,210,219,229,219,180,144,125,130,183,205,182,146,128,112,93,194,198,195,193,191,190,192,198,202,205,208,209,211,211,215,227,214,178,173,134,154,218,192,156,136,124,103,132,207,194,195,193,191,189,193,199,204,205,209,211,212,212,217,220,209,189,178,148,149,186,176,146,132,113,95,182,203,196,196,193,190,188,194,200,204,207,209,212,212,223,136,180,213,191,176,154,129,148,145,129,114,96,156,209,199,198,195,194,196,196,194,199,203,207,208,210,215,206,85,99,182,187,176,137,112,112,116,116,97,152,210,201,205,207,207,200,173,131,198,204,208,210,213,214,227,154,85,87,94,133,141,104,103,99,104,89,84,207,213,209,189,159,145,117,81,66,157,158,162,163,163,164,162,106,90,87,80,77,84,102,101,85,82,63,34,103,140,111,77,58,53,52,59,64,129,129,130,130,129,130,111,92,97,82,81,77,75,63,57,56,52,48,41,52,59,51,54,55,61,60,52,57
14,190,193,192,193,195,195,196,196,197,196,196,195,197,196,196,196,197,197,198,196,197,196,196,196,195,194,193,194,192,193,194,195,196,197,197,197,199,197,199,199,203,194,192,199,199,197,198,198,198,198,198,197,197,196,195,194,193,194,196,196,197,199,200,201,200,201,209,209,197,160,154,201,201,200,200,200,200,199,200,200,199,197,197,196,194,196,198,198,199,200,200,201,204,226,212,179,147,130,121,171,193,194,198,200,201,201,201,199,199,199,199,197,196,197,199,200,201,201,200,209,233,223,166,125,117,110,122,155,175,151,162,201,203,202,202,202,200,200,200,200,197,198,200,201,201,201,210,242,225,183,133,108,116,103,113,138,150,128,162,203,204,205,205,203,202,202,202,201,200,201,202,203,201,201,237,242,187,132,105,104,108,99,104,108,125,116,170,201,205,207,207,207,206,205,203,202,201,202,203,204,205,204,247,237,164,104,84,88,99,115,122,108,138,163,164,155,191,208,207,208,207,206,204,204,202,203,203,206,207,215,252,227,157,108,92,96,89,102,108,95,109,145,149,121,186,209,209,210,209,207,206,205,202,203,205,207,207,226,251,210,139,101,100,110,88,98,106,112,117,119,117,114,182,202,210,210,209,209,208,208,206,206,207,208,206,237,250,215,151,105,103,112,99,109,118,126,123,116,135,141,147,143,200,212,211,211,210,209,207,208,210,210,208,248,251,224,169,126,103,100,110,114,99,112,120,150,148,141,136,151,166,208,214,213,211,211,208,210,211,211,217,253,252,224,171,132,112,97,117,116,146,182,202,213,210,197,174,187,157,205,215,214,214,212,208,209,211,212,225,254,253,224,172,130,115,102,111,111,195,216,216,216,216,205,180,187,154,210,215,215,214,213,209,210,213,214,229,254,254,231,183,138,112,106,105,142,218,217,217,218,218,195,178,183,150,212,216,216,215,214,210,211,214,214,231,254,254,234,190,146,112,104,109,204,219,219,219,219,220,190,177,181,145,199,218,217,216,216,211,214,216,215,234,255,254,237,194,150,116,100,132,220,220,221,221,221,221,180,165,175,150,169,221,218,219,218,213,215,217,216,235,254,254,237,198,156,123,96,163,223,221,222,222,222,198,171,177,173,153,161,222,220,219,220,215,217,217,216,237,255,254,239,201,157,131,96,137,194,211,213,220,206,159,171,179,167,144,196,222,221,220,220,215,217,218,217,240,255,254,240,199,162,139,110,97,111,126,135,158,156,156,169,171,156,174,222,223,222,221,221,217,217,220,218,245,255,254,238,199,175,153,123,101,111,120,135,146,146,153,164,157,155,216,226,224,224,223,222,217,219,221,220,249,255,254,238,204,189,164,136,107,121,133,144,150,153,148,149,144,200,226,226,226,224,224,223,219,222,222,220,249,255,254,241,215,197,168,139,119,126,140,147,150,151,145,134,169,226,227,228,226,226,226,225,221,222,224,224,252,255,254,245,227,200,169,141,127,123,140,146,145,146,141,145,217,228,229,229,227,227,227,228,222,223,225,227,254,254,254,248,231,199,163,137,126,122,137,141,141,141,142,210,228,228,229,229,229,228,227,228,222,223,225,231,254,254,254,247,226,186,142,122,119,120,134,136,141,134,190,231,230,230,230,230,230,229,228,228,223,224,225,242,253,251,249,234,204,154,111,107,108,117,126,131,137,157,227,232,232,231,232,231,230,229,229,229,210,195,178,180,177,161,154,136,118,100,84,81,91,110,118,124,145,218,232,233,234,232,234,233,231,231,231,230
21,157,157,157,159,160,160,160,159,158,159,160,156,159,159,155,155,154,153,152,151,149,148,146,142,142,140,136,133,160,161,161,162,164,165,164,163,163,160,171,151,111,162,160,159,158,156,156,155,153,151,149,148,145,144,140,137,163,165,165,167,168,167,167,168,169,166,169,168,98,128,172,163,163,162,160,159,157,155,154,151,153,148,144,142,167,168,169,169,170,170,170,172,172,172,169,170,128,83,173,168,168,167,164,163,161,158,160,138,111,154,148,146,170,171,171,172,173,173,174,175,175,174,173,176,150,61,150,176,169,169,167,167,165,160,167,133,67,149,154,149,174,174,174,175,176,176,177,177,176,175,177,176,168,85,115,184,170,171,169,170,168,163,176,116,73,158,156,151,176,176,178,177,178,180,180,180,179,178,179,181,184,117,87,180,175,174,172,172,169,172,167,94,91,170,156,155,178,180,182,182,182,182,182,182,182,182,183,183,192,133,69,165,182,175,175,175,170,182,159,75,121,172,158,157,182,183,184,185,185,185,184,185,184,185,186,183,199,154,77,142,188,177,177,175,177,179,139,71,154,170,162,159,185,186,187,188,188,189,189,188,188,188,188,184,193,179,106,119,192,179,180,179,181,162,101,85,176,167,166,161,188,190,190,190,190,191,190,189,190,191,190,190,185,183,133,99,186,183,182,184,183,154,62,127,181,169,168,165,190,191,191,190,192,192,191,190,191,192,192,193,165,139,129,85,175,189,183,190,182,129,71,176,176,171,170,167,191,192,194,193,192,192,193,193,192,192,195,190,187,175,153,101,159,200,186,190,165,89,113,190,174,175,172,169,193,194,195,196,195,195,196,196,196,196,199,185,168,200,188,151,108,161,176,161,133,66,160,188,179,176,174,172,196,198,197,198,198,198,197,197,198,198,200,191,141,121,180,154,131,85,120,132,82,81,192,182,182,178,176,174,197,198,198,199,199,199,199,199,200,199,200,193,144,47,55,163,155,67,49,79,50,105,199,183,182,181,178,176,198,199,198,200,200,200,200,201,201,200,203,199,156,112,63,106,138,67,60,49,35,122,202,185,184,182,181,178,200,200,201,201,203,202,201,202,202,204,198,176,177,166,123,63,121,96,72,85,39,134,202,187,187,185,182,179,202,202,202,204,205,206,205,206,206,206,185,184,186,171,152,126,83,112,89,99,33,110,205,188,189,186,183,181,203,204,204,206,207,207,207,207,208,203,186,175,129,138,169,150,107,62,92,76,33,57,201,190,190,187,185,182,202,204,205,205,205,206,206,206,208,204,188,175,125,53,95,147,103,27,56,101,61,20,132,203,188,189,185,182,203,205,205,206,205,206,206,207,207,203,189,170,131,93,37,85,71,36,43,110,96,28,80,204,184,185,188,191,203,206,207,207,208,207,207,208,209,206,182,170,160,111,56,82,109,46,76,132,110,27,103,206,191,194,165,110,202,204,205,207,207,206,207,208,208,206,177,171,172,105,80,111,197,146,126,130,74,21,167,195,155,97,38,13,213,212,213,215,214,213,213,213,214,212,182,178,153,129,77,113,191,178,135,103,60,31,111,64,33,11,12,20,159,164,169,174,179,183,187,191,195,198,178,163,147,121,65,106,170,148,118,90,59,23,16,16,26,1,12,23,80,80,80,81,84,86,85,87,88,83,123,163,151,113,74,104,166,144,103,67,37,16,17,10,23,0,0,26,90,90,90,90,90,93,94,91,94,85,107,168,147,114,89,88,146,126,81,46,18,10,10,2,12,0,0,23
5,162,163,162,163,164,164,164,163,163,162,162,162,161,159,158,158,156,153,152,150,150,149,148,145,144,144,142,142,168,167,167,167,168,168,167,167,169,165,164,164,163,162,162,161,159,157,155,153,154,152,149,147,145,145,145,144,173,173,174,172,171,172,172,172,172,172,170,169,168,168,162,164,162,157,161,156,155,155,154,151,149,148,145,143,176,176,176,175,174,178,178,176,174,175,174,173,170,165,167,189,116,129,171,160,159,157,155,153,152,149,148,145,179,180,181,180,184,167,176,183,178,179,177,174,178,170,150,105,74,153,168,162,163,162,159,156,155,153,151,148,183,185,187,182,210,130,135,196,183,182,179,192,182,115,86,117,161,173,169,167,165,165,163,160,159,156,154,151,189,189,191,187,205,102,133,201,187,179,189,184,109,96,179,191,185,179,174,174,176,170,166,164,162,160,156,155,193,192,192,194,186,97,164,202,183,162,153,100,103,160,124,126,126,127,126,122,149,167,171,169,166,162,161,160,197,197,197,198,166,102,189,203,183,134,89,96,187,96,76,91,116,132,134,132,127,152,122,164,171,166,165,164,201,201,201,201,183,102,166,210,175,122,87,115,132,82,90,81,91,92,79,93,102,101,106,173,171,169,167,165,204,205,204,205,189,103,149,218,163,118,91,87,100,100,69,49,45,42,47,56,59,63,145,180,177,172,170,168,206,207,208,207,180,119,98,203,163,105,67,66,83,76,48,54,68,62,82,83,112,133,120,103,170,180,172,171,209,211,211,214,169,136,127,126,129,107,83,65,58,37,49,79,54,89,136,141,165,139,126,117,115,174,177,173,213,212,214,216,210,158,156,138,104,112,94,63,61,49,52,52,99,200,206,202,196,166,171,163,111,177,180,176,215,214,215,215,219,202,158,176,168,128,79,54,47,62,45,125,209,202,196,199,164,161,171,109,148,191,178,179,217,217,218,219,217,224,193,182,183,147,100,48,50,41,82,226,208,201,207,179,136,168,129,102,193,187,184,181,219,218,220,221,220,222,217,179,191,161,112,53,51,45,94,185,198,218,193,157,149,144,68,157,201,188,188,185,220,221,221,221,223,224,222,189,197,171,122,66,51,74,71,90,119,154,144,150,144,78,120,204,193,193,190,187,221,222,222,222,224,224,224,184,203,183,128,78,53,73,77,94,122,102,118,145,90,117,211,198,195,194,192,188,222,223,225,224,224,224,227,184,207,182,128,97,58,65,78,93,118,122,96,89,101,209,204,200,198,195,192,190,227,225,227,228,227,227,228,186,210,181,136,112,65,59,81,100,114,106,67,64,198,211,204,203,200,198,195,193,229,228,229,229,229,230,226,190,204,178,143,113,70,54,83,97,102,78,56,185,218,208,207,205,203,199,197,194,229,229,231,231,230,231,229,191,189,170,141,114,72,52,80,83,84,40,130,231,209,212,209,208,206,202,199,196,231,230,231,231,232,233,229,190,185,169,137,114,71,55,73,81,59,62,214,218,215,213,211,210,208,203,200,198,232,232,232,232,233,236,224,192,188,166,137,110,71,56,68,59,41,177,229,217,218,214,213,212,208,204,202,199,233,234,234,234,235,238,219,200,192,171,146,101,63,54,42,45,172,234,219,221,219,215,214,212,209,206,204,201,232,233,233,235,236,234,214,200,189,175,138,85,57,41,86,205,235,225,223,221,221,218,215,213,211,207,205,203,231,232,232,234,234,227,200,179,183,165,121,71,54,54,214,237,220,226,223,220,219,217,214,212,211,208,205,204
2,157,157,156,156,156,156,156,156,155,154,154,154,153,152,151,150,149,148,150,148,147,146,145,146,144,142,141,140,158,158,158,158,158,158,158,158,157,156,156,156,156,155,154,153,152,150,151,149,148,147,146,146,145,143,142,142,158,159,159,159,159,159,159,158,159,158,157,158,158,156,155,149,147,150,150,153,153,152,149,146,146,144,144,143,159,160,162,161,160,160,161,160,160,160,159,160,156,162,161,146,138,138,133,130,135,144,155,148,148,146,145,145,161,163,162,162,162,163,163,163,162,162,160,157,170,175,161,153,148,138,132,114,105,83,102,157,149,148,148,145,163,164,162,162,163,164,163,163,162,162,160,170,180,174,169,169,168,148,136,134,103,98,66,119,153,151,147,146,164,165,164,163,165,164,164,165,164,161,167,178,177,181,116,96,127,90,83,136,128,118,95,77,86,133,151,147,166,166,166,166,166,165,166,166,165,162,175,179,164,141,83,42,49,47,46,77,100,85,57,56,48,128,155,147,168,168,167,168,169,169,168,166,168,178,190,143,90,71,55,45,42,50,142,131,139,118,81,66,100,155,151,150,169,171,170,169,169,170,168,170,187,194,177,125,81,54,35,37,38,100,170,163,163,164,159,151,157,153,152,151,170,171,172,171,171,171,168,183,194,188,155,116,87,66,51,35,89,161,160,161,160,158,158,160,156,155,153,153,172,172,172,172,172,164,179,194,188,157,112,83,71,57,42,93,173,163,164,163,160,160,159,159,159,155,154,152,174,174,174,174,167,179,202,193,174,154,105,52,48,53,46,148,169,163,164,164,163,162,160,160,159,156,155,153,175,175,176,168,180,205,200,179,158,154,105,66,51,40,88,174,165,166,166,165,165,164,162,159,160,158,156,154,176,178,171,180,206,203,183,169,170,130,88,63,43,32,151,175,168,166,167,167,165,164,163,162,162,160,156,155,180,177,175,205,207,195,176,179,155,111,86,51,42,33,130,182,168,169,169,168,167,165,168,164,152,155,163,156,180,174,201,210,204,188,175,165,136,106,73,34,40,41,54,159,173,170,169,168,168,170,150,126,122,104,136,163,175,192,213,204,196,180,167,156,130,88,54,35,43,45,38,89,183,167,173,175,173,131,104,123,131,78,116,165,185,213,206,196,183,175,159,144,112,70,48,48,57,58,54,51,148,183,162,127,94,94,118,125,81,109,163,158,214,215,200,189,174,160,148,131,91,66,51,62,72,72,68,55,62,110,78,80,71,94,116,77,87,172,162,161,114,188,199,180,169,151,140,115,88,66,57,74,76,76,68,64,55,64,67,87,95,93,83,40,150,168,163,163,43,68,138,154,146,141,126,114,84,57,60,78,74,73,69,64,62,75,82,86,89,69,39,81,173,164,165,163,53,44,43,90,110,99,92,73,52,51,57,70,68,68,64,63,67,73,75,66,57,75,122,165,170,167,166,165,43,49,44,40,51,54,46,34,40,46,46,59,64,61,51,50,45,44,62,101,141,172,179,172,171,170,167,166,43,42,41,46,41,19,25,32,28,29,35,43,37,32,55,75,84,120,165,183,182,177,173,172,171,169,168,166,42,38,39,36,47,24,0,14,12,11,27,40,65,116,167,183,186,187,181,177,176,176,174,174,172,170,169,167,40,38,37,33,46,39,0,2,9,0,44,163,192,192,187,183,181,180,180,180,179,178,177,175,173,172,170,168,36,33,32,30,38,40,0,0,3,2,0,37,171,188,183,185,184,184,183,182,181,179,178,177,174,173,171,169
7,153,158,162,167,171,172,175,177,178,180,182,182,182,182,182,182,182,182,182,181,180,180,179,177,177,175,175,174,155,160,164,168,171,173,176,178,179,181,184,184,186,185,184,184,185,184,182,182,182,181,181,180,179,176,177,176,155,161,166,170,173,175,178,180,182,182,184,185,186,186,185,186,185,185,184,184,183,183,181,180,179,178,178,177,158,163,167,172,175,177,179,182,184,184,186,187,188,188,188,188,187,187,186,184,185,185,183,182,182,180,179,179,159,165,168,172,176,178,181,184,184,187,188,189,190,189,189,189,190,191,190,187,183,183,183,185,183,181,181,180,161,165,169,174,177,180,181,184,184,188,188,190,193,194,193,190,187,181,178,159,176,204,162,182,186,184,182,181,163,167,171,175,179,181,183,186,187,189,190,190,185,177,172,174,171,160,161,148,167,185,136,178,184,183,186,183,164,167,173,177,180,182,185,187,186,186,180,169,156,137,149,163,167,146,135,127,121,138,142,193,204,141,184,185,166,170,175,179,182,184,181,162,158,159,158,157,150,141,126,130,118,119,141,143,141,148,160,183,178,121,184,187,166,171,176,180,185,189,174,157,159,152,142,144,147,135,122,117,134,163,181,164,152,146,129,113,127,166,190,186,167,171,175,182,193,183,167,164,158,131,132,152,164,148,142,134,133,148,153,134,114,103,118,149,180,194,189,189,167,172,181,187,178,174,174,170,140,103,122,136,139,127,125,124,105,110,101,107,131,165,195,199,195,191,190,189,168,178,186,181,179,176,167,170,149,111,108,95,85,77,78,87,97,123,161,187,202,202,195,194,193,193,191,190,182,187,184,185,182,167,163,161,163,143,101,78,56,103,155,161,183,202,206,200,197,196,198,198,196,194,194,193,190,186,182,177,169,164,164,165,163,141,107,85,79,100,180,215,203,202,201,200,199,198,197,197,197,196,195,195,190,183,172,166,161,158,151,148,142,123,101,79,84,80,65,154,210,201,203,201,201,201,199,198,197,197,196,196,184,172,165,158,152,147,142,136,134,124,100,72,76,96,79,89,209,204,204,203,202,202,202,200,199,198,197,196,177,172,158,154,145,143,142,140,141,139,105,72,66,86,82,97,212,204,205,204,204,203,202,202,200,199,197,196,100,154,157,152,147,143,139,139,140,131,100,78,77,62,65,71,169,214,203,205,204,203,203,203,202,200,198,197,45,64,131,159,151,146,138,130,121,105,91,88,85,73,64,58,148,219,204,206,206,204,204,203,202,201,200,199,54,42,47,124,158,144,135,125,115,101,92,86,89,75,91,128,199,211,208,208,208,206,205,204,203,203,201,200,48,46,40,44,121,130,115,104,100,82,66,78,81,82,196,219,210,210,210,209,208,207,205,205,204,202,202,201,43,41,40,35,50,88,87,91,80,52,52,65,92,182,219,207,210,211,210,209,208,207,207,206,205,203,203,201,39,36,34,38,33,20,42,181,150,73,101,139,199,217,210,212,211,211,211,209,209,209,208,206,205,205,203,202,27,31,33,38,34,29,163,214,209,203,209,218,214,211,213,212,212,212,212,211,210,210,210,208,207,206,204,203,62,31,29,43,31,153,215,201,207,212,211,210,213,214,214,214,212,214,213,212,211,210,210,208,208,206,204,204,51,57,39,28,73,212,198,205,207,208,210,212,213,214,214,214,213,213,212,211,211,210,209,208,208,206,204,204,22,42,40,20,99,213,198,204,206,207,210,211,212,211,211,213,213,212,211,211,210,209,209,208,206,204,204,204
10,95,103,106,109,115,122,128,132,136,139,143,146,149,151,153,155,157,159,160,160,158,162,162,162,161,161,161,159,98,106,109,112,117,124,130,135,138,142,145,148,152,152,154,159,160,162,160,168,175,145,166,165,165,163,164,163,99,107,111,112,120,126,133,137,140,144,146,151,153,155,159,161,162,163,156,191,196,119,163,167,167,167,165,165,100,108,110,114,122,128,133,138,142,145,148,152,155,157,161,163,165,166,160,198,204,121,157,171,168,169,167,167,103,109,112,116,123,130,136,139,144,147,150,154,158,161,163,166,167,169,163,192,220,134,150,176,170,171,171,170,103,111,114,117,125,131,137,141,145,149,152,156,160,162,164,166,168,170,167,188,238,159,139,180,173,174,174,173,106,113,115,120,128,134,139,144,149,152,155,160,162,163,166,168,169,172,169,186,240,177,126,181,176,176,176,176,107,114,117,122,129,135,141,146,151,155,158,161,163,166,167,169,174,175,172,183,239,188,121,180,178,177,178,178,109,115,117,123,131,137,142,148,153,154,158,164,166,164,180,180,140,177,176,182,238,193,116,176,182,179,179,179,111,118,121,124,132,139,144,148,153,162,162,159,167,169,199,197,109,133,183,184,238,200,117,170,186,182,183,183,113,119,122,126,135,141,145,151,151,194,158,106,106,115,160,198,171,136,164,192,231,196,119,157,190,183,185,184,113,119,122,128,136,143,147,153,156,172,135,93,87,95,93,174,222,175,116,194,209,189,132,142,193,185,186,186,114,121,124,130,137,144,149,154,159,163,153,133,118,113,107,118,199,184,111,146,166,168,138,132,195,188,188,188,116,122,126,132,139,147,152,156,161,165,172,168,198,191,99,82,181,213,155,91,101,127,131,112,188,190,190,190,118,123,128,134,141,148,154,158,164,167,168,178,236,190,77,63,138,233,184,112,78,101,116,98,174,196,190,191,119,124,129,134,142,149,155,160,164,170,166,212,240,181,88,88,82,226,209,151,93,86,114,97,164,199,190,192,120,126,128,135,143,150,156,160,167,172,169,208,235,214,112,55,100,217,226,176,115,80,108,98,167,203,194,195,121,127,129,137,145,151,157,162,168,172,173,181,220,232,147,95,125,216,226,173,118,89,99,95,173,204,196,197,122,127,131,138,146,153,159,163,169,172,176,175,201,206,144,131,140,225,217,188,136,98,97,91,179,204,197,199,124,129,132,140,148,153,159,165,170,174,177,181,180,198,196,157,174,237,214,196,158,112,96,89,185,204,199,201,126,130,134,141,148,154,160,166,171,175,179,184,181,217,240,206,208,240,219,189,161,125,100,86,187,204,200,201,125,129,133,141,148,155,161,166,171,176,179,184,183,207,240,223,225,239,219,189,163,133,107,88,190,205,203,203,125,129,132,140,148,154,159,165,170,174,179,183,183,196,240,236,229,236,217,189,159,140,114,90,190,205,202,202,126,131,133,142,150,156,162,167,171,176,180,184,186,193,238,240,235,236,214,189,165,147,118,86,189,206,204,203,126,130,134,142,151,156,162,168,173,177,181,185,188,188,228,240,239,235,212,197,173,144,114,89,198,206,205,205,127,131,136,143,152,157,163,168,173,178,182,186,190,187,215,240,230,226,206,207,184,141,106,97,208,203,207,208,126,131,136,143,151,157,163,170,175,180,184,187,190,195,209,235,214,212,210,209,196,141,96,99,213,210,207,208,122,128,134,140,149,155,162,170,174,178,183,185,192,158,90,193,212,222,220,207,199,137,95,50,56,170,215,206
3,159,161,163,165,169,171,173,173,173,173,174,174,174,173,172,168,186,187,108,152,170,165,165,163,160,159,157,156,161,164,166,167,171,172,174,176,177,177,176,175,176,176,175,170,189,175,94,127,177,166,165,165,163,161,159,157,162,166,168,170,173,175,176,178,179,179,179,178,178,177,177,172,189,166,95,118,179,168,167,167,165,162,160,158,164,167,170,171,174,177,179,180,181,181,181,180,179,179,178,175,189,168,95,114,179,169,170,168,166,164,163,160,166,169,172,174,176,179,181,182,183,183,183,182,182,181,180,176,193,191,115,108,177,172,171,170,167,166,164,161,169,171,173,177,179,181,183,185,186,186,186,185,184,183,182,177,199,195,115,100,176,173,172,171,168,166,165,164,170,173,176,179,182,184,186,187,187,187,188,187,186,185,185,178,203,185,105,97,179,175,173,172,170,167,166,166,171,175,179,181,185,187,188,189,191,189,190,190,188,188,187,180,204,184,108,100,182,178,176,174,172,169,167,166,173,177,181,184,186,188,191,192,192,193,193,192,192,190,188,185,214,181,110,99,182,179,178,176,174,171,170,167,175,179,183,186,188,191,193,194,195,196,195,194,194,190,191,181,166,142,89,97,187,179,179,178,175,172,170,168,176,181,185,188,190,194,195,196,197,197,197,196,194,197,217,175,107,77,57,118,193,180,181,180,176,174,171,169,178,183,187,190,193,195,197,198,199,199,199,195,193,176,173,178,134,94,41,159,195,182,184,182,179,176,173,171,180,184,188,191,194,197,199,199,201,201,196,210,210,144,85,145,202,122,82,139,180,191,186,182,180,178,175,173,180,185,189,192,196,198,200,202,197,205,170,131,185,151,102,122,209,116,95,77,109,133,185,184,181,180,178,175,181,186,190,194,198,200,202,201,216,217,170,107,137,174,121,99,172,126,114,95,125,89,158,192,181,180,179,177,183,187,192,195,198,201,201,209,219,203,190,148,107,169,120,87,137,137,126,107,121,76,148,196,182,183,180,178,182,188,193,196,199,202,202,223,219,190,199,153,100,138,119,86,127,100,90,120,99,66,145,198,184,184,181,180,182,187,192,196,199,202,201,218,211,165,170,151,92,106,116,70,155,157,73,141,127,68,122,199,184,183,181,179,185,188,194,198,200,203,205,207,207,182,169,130,72,100,101,51,151,164,77,124,133,66,103,199,184,183,180,177,184,189,194,198,200,203,205,210,220,202,180,120,96,104,113,78,135,139,115,116,105,61,145,196,183,183,185,188,184,190,196,198,200,203,204,209,223,209,195,124,103,103,126,139,190,168,139,118,70,87,198,196,198,195,174,132,186,193,198,202,204,207,210,212,223,218,191,140,121,111,173,201,179,147,111,104,67,153,203,163,137,110,65,40,136,137,138,140,141,141,139,139,207,214,182,162,134,126,184,192,158,127,103,91,68,97,77,40,25,21,28,33,111,113,112,113,112,109,112,97,171,213,183,165,148,117,151,162,133,108,92,74,44,24,22,25,32,29,22,25,119,119,119,119,119,120,130,98,96,211,184,165,147,108,109,108,101,88,73,44,28,30,31,24,23,32,28,21,120,120,118,117,118,118,120,94,39,120,177,167,126,89,92,89,91,65,29,43,21,18,28,27,19,23,30,29,120,122,122,121,120,121,114,69,53,48,88,116,97,93,85,78,66,26,0,28,37,8,17,25,23,20,23,29,121,121,121,120,119,122,96,56,57,55,43,55,84,76,58,49,28,3,1,15,38,23,5,21,24,21,21,28
1,123,126,129,131,134,134,135,137,137,137,138,137,139,141,138,138,139,139,139,139,140,139,140,139,138,139,138,137,127,129,132,134,137,138,138,139,140,141,141,145,134,130,143,140,142,142,142,141,142,142,142,141,141,140,139,139,129,133,135,137,139,140,140,141,142,144,138,154,141,84,148,149,145,145,144,144,145,145,145,145,144,143,142,142,132,135,137,140,142,143,143,144,143,160,143,115,152,74,122,129,149,148,148,148,148,148,148,148,147,146,146,145,134,137,139,143,145,146,146,149,145,167,144,96,153,76,84,91,122,157,149,150,150,150,151,149,148,149,149,147,136,139,142,145,147,147,149,151,148,168,150,98,155,99,88,110,87,161,150,152,152,153,153,151,150,150,150,150,138,141,146,147,148,151,152,155,146,160,168,96,150,123,81,121,77,145,156,155,155,154,155,155,154,153,152,152,141,144,147,149,150,153,152,161,155,104,174,106,128,133,85,133,99,122,164,156,157,158,157,157,156,156,155,153,144,147,149,152,154,156,154,168,158,83,168,116,109,141,98,145,133,99,161,158,159,160,158,158,158,157,156,155,147,149,152,153,156,159,155,168,160,88,163,125,110,158,117,121,154,94,144,167,162,162,160,160,159,158,158,156,148,151,153,154,157,160,157,170,171,96,163,155,108,160,127,102,167,117,118,172,161,164,164,163,162,161,160,158,150,152,155,156,159,161,159,173,172,95,152,167,98,129,131,89,171,141,101,166,166,166,165,164,164,163,162,162,152,154,157,159,162,164,161,172,173,114,117,162,73,109,143,78,151,153,97,150,172,166,167,166,166,166,164,163,154,156,158,162,163,164,164,173,180,130,84,156,125,130,135,141,158,123,99,126,178,167,169,168,167,167,165,164,155,157,160,162,164,166,166,173,181,118,91,140,172,136,122,172,153,110,110,90,171,170,170,169,168,168,167,165,155,158,160,163,165,168,167,173,177,142,153,113,145,139,142,179,133,109,118,82,141,179,171,171,170,170,169,168,155,158,161,163,166,169,168,174,179,161,153,111,114,153,183,174,160,132,99,83,107,181,173,173,171,170,170,169,156,160,163,165,167,170,168,180,181,143,136,114,135,177,178,142,153,172,146,100,79,176,175,174,173,172,172,172,157,160,164,167,168,170,169,182,189,138,120,132,155,138,124,91,138,191,177,146,91,154,181,175,175,175,174,172,157,160,164,165,169,169,169,180,200,153,116,119,106,104,99,147,164,172,174,142,104,113,185,175,177,175,174,173,157,160,162,164,168,169,169,173,198,173,115,124,131,148,178,194,186,171,159,130,84,109,186,175,176,176,175,174,157,160,163,164,168,170,169,172,193,192,132,131,143,151,192,193,190,171,148,125,73,116,186,174,176,176,175,174,158,161,163,166,168,169,171,170,190,204,155,135,153,142,187,201,194,171,141,117,70,129,186,175,178,177,176,175,159,161,163,166,168,169,171,170,183,202,173,144,171,135,176,204,194,165,132,106,69,142,187,177,179,177,176,176,159,161,163,165,168,169,171,172,174,192,184,158,178,141,156,202,183,154,127,99,67,149,186,177,179,178,176,174,159,164,167,169,172,175,175,178,177,185,189,176,169,152,131,192,179,151,120,92,67,161,188,180,179,178,178,178,96,100,104,109,112,115,118,122,119,149,196,183,161,147,121,160,172,139,107,86,77,161,169,172,180,184,179,176,79,77,78,79,79,79,81,83,74,106,191,169,151,138,117,135,155,126,97,83,82,92,127,175,172,169,185,175
3,171,174,177,179,180,181,181,182,184,184,184,184,180,198,183,170,185,182,181,180,179,177,176,174,174,172,170,167,174,176,180,181,182,184,185,185,187,187,187,187,181,209,209,144,184,186,183,182,181,181,178,178,176,174,171,170,176,179,181,183,186,186,187,187,189,189,190,189,186,200,228,143,168,192,185,185,184,183,181,180,178,176,174,172,179,180,183,185,186,188,189,189,191,191,191,192,191,192,237,175,156,195,188,188,187,186,184,182,180,178,176,174,179,182,185,187,189,191,191,192,192,193,193,194,196,187,236,201,143,192,191,189,188,187,186,185,183,181,178,178,182,185,187,190,191,192,193,195,194,195,194,194,192,210,238,205,154,186,197,192,191,189,186,186,185,183,181,179,184,186,189,191,192,193,195,197,197,195,206,227,211,222,241,244,200,168,195,195,193,191,190,189,187,186,184,182,185,188,191,193,193,195,196,197,201,193,227,249,248,230,190,211,213,146,194,194,183,195,192,191,189,188,187,185,187,189,193,196,197,198,198,199,198,210,238,237,208,221,190,146,211,177,201,172,170,201,194,193,191,190,189,187,189,192,195,198,199,200,200,202,200,240,248,240,193,173,201,165,181,212,198,153,144,204,196,196,195,193,190,190,191,193,197,199,201,202,203,202,208,238,205,179,216,202,174,194,148,148,189,170,132,178,204,197,196,195,193,192,193,195,199,201,202,203,204,203,214,240,183,114,138,166,134,144,131,103,170,195,158,152,205,199,197,196,195,193,195,198,201,203,203,204,207,204,220,236,168,142,131,127,128,126,123,105,155,206,162,161,205,201,199,198,197,196,196,199,202,203,205,207,209,204,227,234,198,175,143,132,133,138,121,112,188,212,161,173,207,201,201,200,199,197,197,200,203,205,207,208,210,206,232,242,206,163,137,135,142,141,145,167,214,217,163,184,208,202,203,203,200,199,199,201,203,206,209,210,212,209,232,240,192,150,135,139,150,152,193,221,227,212,156,193,210,205,204,203,202,200,200,202,206,207,209,210,212,210,232,239,194,155,142,145,154,175,226,237,223,195,151,198,211,208,206,204,203,202,201,204,207,208,210,212,215,212,231,243,203,164,149,150,158,199,239,235,212,170,158,208,210,208,207,206,204,203,202,205,208,210,212,213,215,212,228,246,209,172,154,157,171,221,237,228,206,158,163,216,210,210,214,212,209,202,202,206,209,210,211,213,214,212,226,247,219,182,159,161,180,233,235,216,196,153,174,218,211,214,181,155,151,137,203,206,208,210,212,214,215,215,223,245,223,191,168,169,185,229,230,206,185,149,189,217,220,185,130,131,125,122,203,206,210,213,214,215,216,217,219,238,226,201,180,182,182,215,214,188,169,149,204,219,212,150,126,124,121,117,204,207,210,213,215,216,217,218,220,235,230,209,188,187,169,187,191,164,148,160,223,211,155,121,110,97,85,71,205,208,210,212,215,216,217,224,197,210,242,215,191,176,153,158,162,150,133,183,177,136,123,115,100,87,87,78,209,211,213,217,219,219,224,201,91,173,249,214,179,154,135,138,141,140,105,85,104,124,123,122,107,83,79,82,191,195,199,201,204,206,212,133,45,149,237,195,155,129,118,129,129,116,68,40,78,112,111,116,123,95,73,79,135,136,139,139,139,137,147,128,71,103,183,188,148,114,125,133,114,84,47,59,100,96,96,100,120,113,81,72,134,132,138,137,134,136,140,146,122,108,131,173,144,120,136,125,101,79,63,81,103,82,79,90,108,118,96,72
7,132,133,134,134,133,133,133,132,133,133,133,133,134,133,132,131,131,131,120,21,1,28,45,48,71,96,111,134,135,136,138,137,137,136,136,136,137,136,137,135,135,135,134,134,133,138,96,10,20,47,40,42,69,92,115,135,139,140,140,139,140,140,141,141,142,141,141,141,140,139,137,137,134,142,69,7,27,37,41,36,64,98,122,138,142,142,143,142,143,143,143,142,144,143,142,139,137,140,136,135,130,136,105,72,90,39,32,53,72,111,129,130,145,146,147,146,146,146,145,146,147,146,148,137,121,137,145,136,121,123,112,133,170,78,25,53,83,125,131,122,149,149,149,150,152,150,148,150,158,164,159,143,129,138,138,134,123,117,112,106,143,83,43,68,103,136,132,121,153,153,152,151,151,153,161,169,173,169,160,144,144,139,106,114,136,127,127,116,114,96,94,136,121,138,141,127,157,156,158,156,150,158,167,167,163,157,155,156,148,136,114,121,140,128,126,120,96,90,76,108,103,135,147,142,159,156,177,173,161,160,162,159,159,160,157,156,149,127,122,113,100,85,78,76,64,59,67,68,75,133,146,151,159,163,188,174,155,151,158,162,160,158,150,141,128,110,96,84,81,85,99,97,74,138,132,109,77,133,142,152,162,170,185,171,140,136,148,150,148,131,105,89,66,60,95,145,156,155,167,139,103,180,109,142,89,126,140,146,163,174,180,160,132,137,139,120,99,74,84,114,79,81,89,68,151,163,160,152,135,94,85,168,91,110,138,135,164,177,176,159,159,155,139,125,117,126,130,126,118,114,125,54,84,174,158,160,158,100,145,174,98,84,135,128,169,180,179,182,189,165,128,131,137,135,128,114,110,109,103,52,79,175,161,162,158,153,137,157,127,76,125,131,173,181,182,190,189,158,119,119,117,108,109,103,97,90,70,61,159,168,164,164,161,159,170,157,143,124,128,133,174,181,185,187,170,146,131,120,94,73,80,95,91,88,72,82,175,168,166,166,166,163,139,100,106,135,131,133,181,186,185,177,160,151,152,155,122,95,108,125,117,99,95,81,134,178,168,166,167,174,136,95,119,128,128,135,186,189,181,169,160,150,163,163,121,95,104,107,97,84,83,60,132,179,168,170,170,172,164,124,141,121,127,134,185,186,179,170,159,161,176,155,116,95,96,94,90,82,64,79,171,174,173,172,170,169,170,142,133,125,118,129,183,185,178,166,165,171,164,137,104,86,75,69,58,44,63,155,181,173,173,172,171,171,172,153,136,132,114,119,180,179,171,164,166,155,137,117,101,92,67,42,56,100,158,184,176,176,174,173,172,172,174,160,137,143,122,103,173,172,166,162,162,145,129,121,108,89,97,148,168,187,183,180,177,177,176,177,175,174,176,161,135,147,140,117,168,166,165,159,156,146,136,123,88,65,168,193,182,180,178,179,179,178,178,178,176,174,175,161,132,144,143,131,166,157,159,158,142,133,123,93,50,124,195,182,183,183,182,181,180,179,178,178,178,176,176,161,133,141,140,134,162,151,145,139,126,113,93,57,84,188,186,186,186,187,185,184,181,179,180,180,178,177,179,163,135,141,137,129,154,143,136,119,101,83,55,63,171,190,186,187,186,186,184,184,183,183,181,181,179,177,180,158,137,141,136,128,134,124,114,95,71,52,69,161,193,186,188,188,188,188,186,186,184,183,181,181,180,180,176,147,140,141,135,125,117,104,97,83,60,94,172,193,187,188,188,188,188,188,188,187,186,185,183,183,181,183,163,140,145,144,139,129
6,209,211,211,212,213,213,212,212,212,211,211,210,209,208,207,206,206,204,202,200,200,201,200,198,196,196,143,161,211,212,213,213,214,213,212,213,213,212,212,211,211,210,209,208,207,205,204,203,202,202,202,200,198,195,190,146,214,214,216,216,216,216,214,214,215,214,213,212,212,213,211,210,208,206,207,206,206,204,202,201,201,197,197,180,214,217,217,218,218,218,217,216,217,217,216,213,213,213,212,210,210,208,209,209,209,205,203,202,201,199,196,188,216,218,219,219,220,220,219,218,218,217,216,216,214,214,214,213,212,211,209,209,208,206,205,204,202,201,197,193,218,219,219,221,222,220,220,221,219,219,219,218,217,215,215,216,214,212,210,211,210,209,206,205,204,203,201,197,218,219,220,222,223,223,223,223,221,220,220,221,219,219,218,216,214,209,210,209,209,206,202,202,196,199,199,200,219,221,222,223,225,225,224,224,226,225,221,218,214,208,205,202,201,179,179,194,195,180,189,186,194,236,182,192,220,222,225,226,225,225,224,222,215,204,205,207,201,202,205,206,195,191,179,201,205,188,192,194,184,216,162,186,222,225,226,226,226,224,225,231,207,185,194,207,209,214,217,215,199,177,178,172,172,161,149,152,141,146,173,204,223,224,226,227,227,224,235,243,214,198,188,187,191,186,181,173,164,154,128,123,114,121,163,169,187,201,208,204,224,225,226,227,229,226,245,245,227,213,196,181,176,166,160,149,135,116,88,74,72,182,226,216,215,211,206,204,224,226,227,229,229,233,252,248,239,209,173,166,171,179,178,171,160,152,150,110,149,227,212,212,211,210,208,206,226,228,228,231,227,243,255,252,236,180,149,158,162,174,179,178,168,157,157,125,162,228,214,215,213,212,209,208,228,229,231,231,226,253,253,250,209,155,164,161,152,154,172,163,153,152,145,100,169,228,216,217,213,212,211,210,227,230,231,228,233,255,250,249,218,197,182,165,141,142,176,168,160,164,146,113,213,222,219,217,216,213,212,210,228,231,233,227,248,252,250,253,250,236,196,162,169,178,179,171,157,145,143,124,185,229,218,219,216,213,212,209,231,232,228,233,254,252,254,249,248,244,189,151,158,163,163,161,145,135,135,103,178,229,219,220,217,215,212,210,230,232,224,241,251,255,251,243,242,223,181,156,150,141,145,152,149,143,122,119,214,224,219,219,218,214,214,217,231,222,224,248,251,253,244,236,230,225,207,188,155,116,124,148,144,143,113,153,231,218,221,219,214,214,213,189,230,209,238,249,252,246,242,242,235,228,233,221,170,135,150,171,159,138,128,115,211,225,218,217,218,225,149,70,219,217,246,249,249,245,247,244,230,235,239,208,153,132,141,143,133,121,110,106,210,225,224,228,199,133,69,57,214,236,242,246,243,239,233,229,225,235,222,182,143,136,135,124,114,109,103,176,236,226,197,137,84,58,58,54,229,238,243,239,231,224,217,219,218,203,183,154,138,127,105,142,160,180,207,214,171,121,72,55,56,56,57,56,237,236,239,232,217,213,210,207,205,184,157,145,145,137,150,206,185,160,129,89,60,38,43,53,53,48,51,49,234,235,227,215,204,193,204,203,191,179,167,152,130,100,102,77,57,48,46,56,44,30,41,46,48,45,47,44,233,231,223,212,198,186,188,183,168,160,142,115,83,60,42,47,47,48,53,53,32,23,35,41,46,43,44,46,235,225,219,202,179,173,166,151,134,121,100,73,50,59,48,35,40,42,47,49,26,20,32,39,44,39,39,44
12,171,172,173,176,178,178,179,180,180,181,181,182,181,183,184,183,183,184,184,183,182,183,184,183,182,181,181,180,173,175,177,177,178,179,181,184,182,183,183,183,183,184,184,187,185,187,187,185,185,186,185,184,184,184,182,181,176,177,178,180,181,180,182,185,184,183,183,186,186,191,189,176,187,187,187,189,187,186,187,186,185,185,185,184,177,179,180,182,182,184,184,186,183,189,200,185,182,216,204,151,134,197,193,166,183,188,187,187,187,186,187,186,178,179,181,184,185,186,186,185,189,235,229,181,155,226,209,145,71,179,203,139,124,194,189,189,189,188,189,188,179,181,183,186,186,187,188,183,195,244,232,177,148,229,207,156,70,184,183,134,73,171,198,188,190,190,189,189,180,183,185,187,187,189,188,184,204,237,228,181,141,233,201,165,107,200,170,110,59,139,206,190,192,192,192,193,182,185,187,186,189,185,199,227,182,181,216,218,125,213,225,154,127,203,181,109,48,124,206,191,194,193,193,193,183,186,188,189,190,186,234,233,176,124,171,181,100,183,214,104,127,218,152,89,44,116,205,193,195,195,195,194,186,188,189,191,187,204,244,232,202,122,136,131,54,85,113,70,138,169,86,56,47,108,209,195,197,197,195,194,187,190,190,191,187,221,240,235,205,152,104,116,57,38,41,162,198,172,117,110,95,116,212,196,198,198,196,195,189,190,193,193,188,230,211,224,213,172,116,58,90,66,158,239,232,208,165,159,131,126,212,198,200,198,198,197,189,192,193,193,193,241,234,196,202,176,125,69,64,133,244,238,228,205,171,145,113,100,208,201,201,199,198,199,192,194,196,191,209,244,237,187,184,180,139,96,51,215,244,238,227,206,175,135,96,100,210,203,203,201,200,201,192,195,199,192,210,244,239,218,170,161,184,145,98,244,241,239,228,204,160,128,89,100,213,202,205,203,202,203,193,196,198,197,202,244,241,217,181,148,154,170,199,244,240,239,227,196,158,125,93,83,207,208,205,205,204,203,194,196,199,196,206,244,243,227,208,198,162,210,234,244,234,233,228,189,164,118,87,81,207,210,206,205,206,204,196,197,200,197,210,244,244,238,223,218,195,209,221,244,230,226,217,194,156,113,71,108,220,206,209,207,207,207,196,198,201,200,208,244,244,241,231,219,202,207,208,238,225,211,202,194,138,100,60,169,219,207,210,209,209,208,198,199,202,204,203,241,244,242,234,212,195,207,208,228,216,200,199,177,122,74,88,217,211,210,210,210,210,209,198,199,201,206,201,227,244,239,229,204,187,198,204,219,213,198,185,150,101,52,167,223,211,212,211,210,211,210,202,206,209,213,207,228,244,221,212,201,194,204,210,230,216,192,168,129,63,100,221,212,215,213,211,212,213,211,190,175,162,151,131,125,124,99,91,91,83,89,78,79,74,67,67,63,36,170,237,217,216,215,214,214,215,214,120,107,99,95,75,59,57,50,38,27,20,17,0,0,0,0,0,0,0,26,93,201,218,213,213,213,213,213,115,99,104,93,80,68,63,55,44,35,30,22,9,6,4,2,0,0,0,0,0,179,223,212,213,212,211,211,145,95,102,94,79,69,58,52,42,32,27,17,6,5,6,2,0,0,0,0,77,232,211,215,213,213,213,212,168,97,101,88,78,68,55,49,39,30,25,16,7,6,5,1,0,0,0,0,173,231,214,217,215,215,216,215,181,100,97,90,81,68,59,48,39,27,20,17,8,6,4,0,0,0,0,0,203,223,220,219,217,217,216,217
24,102,106,110,112,114,115,118,120,121,122,124,126,127,127,128,131,132,133,135,135,136,136,137,137,136,138,138,139,102,106,108,111,114,116,118,120,122,123,124,127,128,129,131,132,132,133,136,135,136,138,138,138,139,140,140,140,103,107,109,112,115,116,119,121,123,125,126,128,130,131,132,133,133,135,136,136,138,138,139,139,140,141,141,141,103,107,110,113,115,117,119,122,123,126,127,129,131,132,133,135,134,135,137,138,140,140,140,142,141,141,141,141,103,108,110,114,115,118,120,122,124,127,128,130,132,133,133,136,136,135,137,140,141,141,141,142,142,141,141,141,104,108,112,115,118,119,121,123,125,127,128,130,132,133,133,134,138,140,139,140,141,141,142,141,142,142,143,142,106,107,120,112,96,122,121,124,126,128,129,131,131,131,138,137,135,129,142,141,142,142,141,141,142,143,143,143,106,105,126,127,79,114,123,124,126,129,131,133,133,116,98,137,136,100,100,144,141,142,142,143,143,144,143,143,107,108,114,130,91,87,128,123,126,130,109,127,149,123,82,115,143,111,65,103,149,142,144,145,144,145,145,144,107,110,111,125,119,85,116,125,135,143,114,103,149,127,93,105,146,116,74,60,145,143,145,146,144,146,135,118,106,110,114,118,142,116,87,122,146,156,126,96,140,135,94,90,144,111,73,44,130,148,143,144,146,140,109,83,107,111,114,114,133,130,92,102,136,163,139,102,111,146,103,74,130,98,65,35,117,151,142,146,139,127,96,69,106,111,114,116,118,132,137,120,119,148,146,107,82,127,110,66,101,89,66,37,81,153,145,132,124,114,76,89,107,112,115,117,117,130,142,135,137,145,134,102,67,100,106,64,76,104,74,42,47,127,129,118,115,89,60,128,107,111,114,117,120,120,137,139,134,141,132,101,83,78,119,81,73,134,81,49,87,98,117,118,91,56,109,153,108,112,114,117,121,120,133,149,129,114,113,112,111,75,123,110,55,117,86,109,130,116,109,98,66,86,152,146,107,112,115,118,120,121,129,147,115,106,104,112,110,87,107,99,60,111,141,140,125,110,92,78,69,145,148,147,108,112,116,119,120,122,127,155,133,115,100,101,108,121,106,100,130,147,139,131,120,104,86,63,111,154,146,148,108,113,116,118,121,125,124,158,150,127,104,96,120,133,141,152,154,143,135,126,114,96,69,74,151,149,149,149,109,113,116,118,121,125,123,156,160,133,122,105,110,130,147,162,151,141,138,125,102,81,56,114,155,147,149,149,109,113,116,118,122,124,122,149,165,140,134,123,111,131,145,158,150,144,137,119,98,68,74,150,147,148,148,149,109,114,116,118,121,123,125,135,162,150,139,133,120,128,144,153,149,141,129,115,101,59,124,154,148,149,149,149,109,113,117,119,120,123,127,128,145,155,145,131,121,127,141,148,142,131,117,108,76,90,154,147,150,149,150,149,109,112,116,119,120,124,128,128,137,157,143,130,121,130,135,137,132,121,105,87,67,141,150,148,150,150,151,151,107,112,115,117,119,123,125,127,134,146,131,128,123,125,130,133,129,118,99,66,101,157,146,148,149,149,149,150,106,110,114,116,118,122,124,126,132,136,128,136,134,133,135,131,122,111,92,62,131,150,146,147,148,147,148,148,105,109,113,115,116,121,123,123,132,149,142,148,140,138,132,125,117,106,80,67,144,146,146,146,147,147,149,148,105,109,113,115,116,121,123,123,132,161,147,146,141,136,125,121,118,99,70,78,151,144,146,146,146,147,148,148
5,168,169,168,170,171,173,173,173,175,174,175,175,173,175,179,175,175,175,173,173,172,170,169,168,169,166,165,164,171,171,172,173,176,176,177,177,177,178,179,179,180,177,161,178,178,177,177,177,176,174,172,171,171,169,169,167,176,177,177,178,180,180,181,180,182,184,183,187,183,193,120,160,187,181,182,180,178,177,177,176,175,174,172,169,179,180,181,182,183,183,184,185,187,187,185,155,173,208,125,136,196,184,185,183,183,182,182,180,178,177,176,174,183,184,186,186,187,189,188,190,191,188,198,139,137,217,125,118,203,187,189,187,186,185,184,184,183,181,179,177,187,187,190,189,191,194,194,193,195,191,209,156,121,216,119,117,206,191,192,191,189,188,187,187,186,185,183,181,190,189,192,194,194,195,191,195,197,194,215,162,110,214,133,124,209,194,196,196,193,192,190,190,190,188,186,184,193,194,195,198,197,202,162,159,208,195,217,170,110,209,126,132,212,197,200,200,204,197,193,193,193,190,189,188,197,198,199,200,199,209,171,122,208,197,219,174,101,202,112,138,214,200,201,191,165,194,199,196,194,194,193,192,199,201,202,202,201,213,191,102,205,203,216,169,86,204,135,140,215,200,207,197,139,151,212,199,198,198,196,195,200,202,203,204,205,211,192,100,202,207,209,185,91,182,151,141,216,196,187,173,196,155,178,204,202,200,199,197,203,204,205,207,209,210,215,111,182,213,204,199,92,144,157,150,211,203,159,82,177,171,131,205,205,202,200,200,206,207,208,210,210,212,220,148,148,218,206,203,96,131,157,151,203,201,150,142,197,138,158,215,206,204,203,201,208,209,210,210,212,210,205,210,165,177,199,186,129,147,142,129,175,176,143,206,190,114,203,210,207,206,204,203,209,212,212,213,213,216,198,218,201,161,163,161,138,140,133,130,178,169,156,215,159,108,218,209,210,208,207,207,211,214,215,215,215,218,211,213,226,184,154,151,125,130,130,132,173,165,175,224,125,113,227,211,212,211,210,209,213,215,215,217,218,218,219,215,243,207,140,135,115,113,127,137,169,158,177,229,122,138,230,212,213,213,211,210,214,215,217,217,217,218,219,220,244,215,144,107,110,108,122,156,177,146,170,227,131,152,230,213,215,216,214,210,216,216,218,219,219,219,219,220,242,212,153,107,110,108,145,166,191,193,163,212,134,158,230,215,217,217,215,212,217,217,218,220,223,223,222,217,238,207,157,111,102,122,160,180,207,211,172,172,111,154,233,217,217,217,215,215,217,218,220,222,223,223,225,216,236,211,165,113,103,132,177,201,204,204,176,125,76,143,236,219,220,218,216,216,218,221,222,223,224,224,227,217,231,212,166,117,106,131,190,214,210,189,147,95,61,182,231,220,223,221,218,217,220,223,223,224,225,226,228,219,220,211,163,121,113,128,202,219,196,166,128,68,129,235,223,224,224,222,219,218,222,223,223,224,225,227,229,215,205,209,162,133,121,127,198,200,178,150,101,84,221,231,224,224,225,223,220,218,220,222,223,224,225,227,231,217,200,199,155,146,121,127,181,185,168,131,64,162,241,227,227,226,225,224,222,219,219,221,222,224,224,225,228,219,196,189,157,148,115,124,168,171,146,79,101,235,229,229,226,227,225,224,223,221,219,221,223,225,224,225,230,217,203,192,158,145,121,108,148,133,92,78,210,233,227,228,226,226,225,224,223,221,220,223,224,224,225,226,231,213,207,183,138,134,120,100,125,95,65,179,241,227,231,228,227,228,225,224,222,220
14,190,193,192,193,194,195,196,196,197,196,196,195,195,197,197,196,197,197,198,196,197,196,195,196,195,193,192,194,192,193,193,195,196,197,196,197,200,197,197,197,206,196,193,200,199,197,198,198,198,199,198,197,197,196,195,194,193,194,196,196,196,199,200,202,199,198,212,213,205,153,152,211,200,201,201,200,200,200,200,200,200,198,197,196,194,196,198,198,199,199,201,199,200,230,219,180,146,127,115,172,196,195,201,200,201,201,201,199,199,199,198,197,196,197,199,201,202,201,197,206,237,232,162,118,115,108,120,155,182,145,156,207,202,202,202,202,200,200,200,200,197,198,200,201,202,199,208,249,231,185,131,105,121,101,110,139,154,117,161,211,202,205,205,203,202,202,202,201,199,201,203,202,203,197,239,249,184,127,103,104,110,96,101,106,125,112,170,209,208,206,207,207,206,205,203,202,201,203,203,204,205,201,249,244,160,96,81,85,98,117,129,108,139,171,163,149,189,211,207,208,208,206,204,204,202,202,203,206,204,214,255,232,157,106,92,95,88,102,108,89,102,148,156,113,188,215,207,210,209,207,206,205,202,203,205,208,203,225,255,210,133,96,102,114,86,96,105,114,115,121,112,109,187,207,212,210,209,208,207,208,206,206,207,210,202,237,255,216,149,99,102,115,98,109,123,132,123,108,134,141,144,135,202,215,210,211,210,209,207,208,210,211,206,249,255,227,171,125,102,97,111,116,90,105,114,149,150,139,134,149,164,207,216,213,211,210,208,210,212,208,217,255,253,225,169,132,111,94,122,113,140,186,205,222,214,197,171,195,153,200,219,214,214,212,208,209,211,209,225,255,255,226,169,128,115,101,114,102,201,228,217,214,218,208,180,190,151,209,217,214,214,213,209,210,215,210,229,255,255,233,183,137,109,108,97,139,225,214,217,217,222,192,174,186,148,213,217,215,215,214,210,211,215,211,231,255,255,236,190,146,109,102,103,209,223,218,219,218,225,188,174,188,137,199,223,216,216,216,211,214,217,212,233,255,255,239,194,150,117,89,131,228,217,221,222,219,230,177,158,181,142,166,228,216,219,218,213,215,219,212,235,255,255,239,199,156,125,83,171,239,220,225,221,227,200,167,177,176,147,155,229,218,220,220,215,217,218,212,237,255,255,241,201,155,133,90,133,201,215,214,227,210,151,171,183,170,135,196,227,220,220,220,215,217,219,215,240,255,255,242,198,160,140,110,87,104,124,130,159,153,153,171,174,149,171,232,221,221,221,221,217,217,222,216,245,255,255,240,197,174,156,121,100,112,116,133,142,144,153,168,156,147,222,227,223,224,224,222,217,219,222,218,249,255,255,239,202,190,166,135,105,122,135,145,152,155,147,152,136,201,232,225,226,224,224,223,219,222,222,219,249,255,255,242,215,199,167,139,118,125,142,147,150,152,148,123,166,236,225,228,227,226,226,225,221,223,223,223,252,255,255,245,228,201,168,141,126,122,141,146,145,149,137,138,224,230,228,229,227,227,228,228,222,224,224,227,255,254,255,249,233,201,164,136,126,121,137,143,140,140,135,216,232,227,229,229,229,227,227,228,221,223,222,229,255,253,254,249,228,188,141,121,119,120,136,136,144,123,190,240,228,231,230,230,230,228,228,228,225,229,228,245,255,255,255,241,209,154,108,109,109,117,126,134,129,154,236,231,232,231,232,231,230,230,229,229,210,195,175,179,177,158,152,132,116,97,81,79,89,110,119,120,142,226,234,232,234,232,234,234,231,232,231,230
1,48,66,69,74,81,97,114,127,132,139,144,147,152,161,157,163,164,165,167,167,168,170,171,171,171,171,172,170,55,67,71,76,82,100,118,130,136,143,149,152,161,179,125,159,166,169,170,171,171,171,172,172,172,172,172,171,62,68,72,77,84,103,122,134,140,147,155,158,170,186,112,124,130,162,176,177,176,176,176,175,174,174,173,173,67,69,74,79,85,106,126,137,143,152,178,158,146,187,113,110,127,127,182,182,182,183,182,181,178,178,177,176,70,71,75,80,88,110,128,139,146,155,193,161,120,183,113,103,135,99,180,188,188,188,187,186,184,183,182,181,71,72,76,81,92,114,132,143,150,159,196,165,110,171,114,100,137,95,168,194,193,194,193,191,190,189,187,186,72,73,77,82,95,118,136,145,152,163,197,164,101,159,125,106,145,106,155,199,199,198,198,197,195,194,193,192,73,74,78,83,99,122,140,148,159,179,177,165,100,132,119,103,151,114,142,205,203,203,203,202,200,200,199,198,74,74,79,84,102,126,143,151,172,180,158,164,102,118,119,89,149,118,135,209,208,208,208,206,205,204,203,201,76,77,80,85,104,129,146,153,192,173,141,163,103,128,130,94,168,139,132,212,212,211,211,210,210,209,207,207,76,78,82,87,108,132,149,157,198,158,129,178,115,118,127,97,166,150,126,214,215,215,215,214,212,212,211,210,76,78,82,87,111,135,153,159,201,154,113,173,116,92,118,106,158,151,114,213,218,219,218,216,215,215,216,215,77,78,82,88,114,138,155,163,207,153,97,156,110,87,115,121,169,150,109,211,222,222,222,221,220,219,219,219,77,79,82,90,117,141,158,166,212,163,95,147,141,139,134,150,173,126,99,199,225,225,224,224,224,223,223,223,78,79,82,92,120,144,162,169,210,168,101,154,184,151,138,144,146,121,94,171,227,227,227,227,225,225,226,225,77,79,82,94,123,148,165,172,211,181,139,147,129,134,129,129,123,128,119,140,225,229,229,230,229,229,228,228,77,80,83,96,127,152,167,175,223,195,147,131,108,128,132,141,135,153,151,128,176,231,231,232,231,230,223,195,77,80,83,99,130,155,169,179,230,195,145,118,111,134,143,190,189,175,186,156,115,200,233,231,207,157,100,65,77,80,83,101,133,158,172,183,230,192,137,113,117,142,172,212,227,187,200,156,105,149,221,140,75,57,49,46,76,79,83,103,135,160,173,183,227,198,140,115,126,149,188,216,234,218,181,128,96,129,120,66,46,39,50,40,75,77,81,105,136,161,173,182,221,202,148,117,131,157,198,225,231,213,168,118,93,74,50,56,56,28,45,47,74,76,80,106,139,164,175,183,217,208,167,125,134,158,201,231,224,196,157,116,89,61,47,37,57,32,28,48,73,75,79,107,141,166,178,185,212,210,183,137,136,158,200,229,211,182,148,111,86,61,48,24,43,47,18,35,86,84,86,110,141,165,176,184,202,205,191,149,140,152,199,218,200,175,136,105,81,61,41,28,27,47,25,21,118,117,119,119,121,130,136,141,151,195,194,158,151,150,189,201,191,164,126,99,76,54,47,28,18,39,37,12,117,117,117,119,119,121,122,125,126,169,195,169,155,150,166,186,177,148,114,89,69,38,48,29,14,32,44,17,117,117,119,121,122,123,124,125,126,138,186,171,157,150,144,167,157,130,100,79,69,38,39,30,14,23,46,30,116,118,119,120,121,123,124,126,126,129,169,177,162,153,138,145,146,120,91,69,69,47,27,12,18,18,43,41
24,136,144,152,156,160,165,168,170,173,176,178,182,184,186,188,189,191,192,194,195,197,199,199,199,199,199,199,200,138,146,153,158,163,166,168,171,175,177,179,185,186,188,190,192,194,195,197,200,200,201,201,200,200,200,201,201,140,148,155,159,164,167,170,173,177,179,182,186,189,190,191,194,194,197,200,201,201,202,201,201,202,203,202,203,142,149,157,163,165,170,170,174,178,181,184,187,190,192,192,196,196,199,201,202,202,203,205,202,205,206,205,206,144,151,158,164,167,170,173,175,180,183,187,188,191,191,193,197,199,200,200,203,205,207,207,205,207,206,206,207,146,152,159,165,169,178,165,178,181,184,187,191,192,193,196,199,200,201,203,204,205,207,206,207,208,208,208,207,145,153,160,162,189,186,122,175,183,186,188,193,194,196,199,200,202,203,205,206,206,207,208,209,210,210,209,212,148,156,162,164,210,154,120,180,184,188,190,193,196,197,200,200,203,206,206,209,212,213,209,210,212,213,211,212,150,159,159,181,212,130,137,187,184,191,196,195,198,203,204,203,204,207,207,196,170,186,213,211,213,213,213,213,149,160,154,205,200,115,156,188,189,184,176,195,195,175,190,209,206,211,179,139,115,124,213,215,214,214,215,215,151,160,161,227,176,151,170,171,211,187,134,168,196,162,138,190,216,198,142,108,109,168,218,214,216,216,216,215,154,158,172,231,177,226,185,158,210,184,122,174,184,164,121,144,233,177,125,107,192,222,215,216,217,217,217,216,154,155,192,228,215,235,195,159,203,172,113,168,173,143,106,183,209,154,109,151,229,213,217,218,219,218,218,219,156,154,206,227,212,255,195,152,196,164,105,94,152,146,154,197,161,126,109,204,220,218,220,220,220,220,220,220,158,154,216,243,208,243,187,137,203,147,124,140,184,191,172,165,151,106,147,228,218,222,222,221,221,221,221,221,156,167,230,228,203,221,170,120,196,204,214,219,194,168,149,135,139,106,192,228,220,222,222,223,223,223,222,223,149,197,207,189,174,193,180,150,227,248,228,208,183,158,133,125,121,121,223,223,223,223,223,224,225,225,224,224,155,233,211,184,163,162,182,235,253,238,227,210,175,146,123,121,104,162,234,223,226,225,225,226,226,226,225,225,181,254,212,190,175,151,183,255,238,226,214,187,161,135,117,114,98,199,231,226,226,227,228,228,227,227,227,227,219,255,212,204,193,205,242,251,229,209,197,170,144,126,115,112,104,210,231,227,227,227,228,229,230,230,229,228,241,255,223,213,203,231,243,227,209,192,183,156,133,121,115,106,125,229,227,228,229,229,229,231,231,230,230,229,245,255,233,215,201,217,228,214,202,178,173,145,126,114,111,97,183,234,227,230,230,231,230,232,232,231,230,231,232,255,238,224,207,212,224,218,196,177,165,137,119,107,89,148,233,228,230,231,232,231,232,233,233,232,233,232,206,255,233,218,217,207,206,212,184,161,150,128,104,93,156,224,227,228,230,232,234,234,234,232,232,234,235,235,191,245,236,222,223,206,188,203,184,157,140,115,85,157,232,225,228,230,231,232,233,235,235,234,235,236,235,236,180,240,238,223,211,205,180,193,178,155,135,94,115,219,223,226,229,231,232,233,234,235,235,236,236,237,237,236,181,249,240,215,195,204,180,181,172,149,134,92,157,231,223,227,230,232,232,234,235,235,236,236,236,237,238,237,188,249,241,207,184,207,177,172,173,146,127,96,166,231,223,228,231,232,234,235,236,237,237,238,238,238,239,239
13,158,161,165,168,169,170,172,173,175,177,177,177,178,179,179,180,180,180,179,179,178,176,175,174,174,174,172,171,159,162,166,168,170,172,173,175,177,178,179,179,180,180,180,180,180,181,181,181,180,178,177,177,176,176,174,172,159,163,167,170,171,172,174,177,179,179,181,182,182,183,184,185,187,182,182,186,185,179,180,179,178,177,176,175,160,164,168,170,172,174,175,178,180,180,182,184,183,184,180,159,157,188,180,159,162,184,181,181,180,179,178,176,161,165,169,172,173,175,177,179,180,181,183,185,184,186,173,142,111,146,161,131,94,143,190,180,181,179,179,177,162,166,170,173,174,175,178,180,181,183,184,185,184,191,193,158,138,93,134,143,100,92,189,183,182,181,180,178,162,166,171,173,174,177,180,181,183,184,185,186,186,188,199,166,138,88,112,143,109,78,178,187,183,182,181,179,164,167,171,174,175,177,181,183,184,185,187,187,188,188,187,165,128,92,88,120,97,71,173,189,183,183,183,182,163,167,171,175,176,178,181,184,185,187,187,188,185,194,182,165,124,100,79,110,93,71,175,189,184,185,184,182,163,169,173,176,177,179,182,184,186,188,189,179,138,131,133,153,150,117,86,124,108,81,185,188,187,185,184,182,165,170,173,175,177,180,182,184,187,187,198,171,125,107,95,150,179,134,91,114,111,65,162,195,186,186,185,184,165,169,173,176,179,181,183,185,187,184,174,167,138,132,95,98,166,126,85,96,92,72,103,194,188,187,186,186,165,170,175,178,179,182,185,184,188,176,117,121,158,137,118,58,68,63,79,94,89,104,83,151,198,186,186,186,165,170,175,179,180,181,183,188,202,160,124,100,146,146,123,91,39,56,69,92,119,121,101,97,195,189,188,186,165,170,175,179,180,182,183,198,179,153,137,123,110,146,126,111,58,71,110,119,132,125,110,78,178,194,188,187,166,171,175,179,180,182,186,201,158,147,146,126,102,127,130,103,63,72,143,157,148,113,103,80,180,194,189,189,167,171,175,180,181,182,187,198,165,123,123,119,102,86,105,79,63,86,152,155,150,118,85,91,194,191,190,189,167,172,177,180,182,183,187,188,172,145,113,96,73,48,82,96,79,121,171,152,143,117,73,116,204,190,191,189,168,172,177,181,182,184,187,190,187,165,133,106,91,82,93,102,110,175,173,146,130,111,67,147,204,192,192,189,168,173,178,182,182,186,187,187,184,173,149,137,117,115,128,146,168,182,162,139,119,102,70,175,199,192,192,191,167,173,178,181,182,186,186,188,181,166,151,131,113,113,134,183,177,166,149,130,112,88,81,195,197,194,193,191,167,173,178,181,182,185,187,190,170,156,149,132,118,120,126,167,170,159,139,118,105,75,102,206,195,195,193,192,167,173,178,182,184,186,188,194,175,158,150,135,130,124,125,162,167,157,132,107,97,60,144,208,195,195,193,192,168,174,179,182,183,185,187,193,191,159,150,144,133,120,117,147,157,144,116,95,77,75,194,199,197,195,193,192,168,174,179,181,182,185,188,191,195,180,154,143,129,120,113,131,144,132,105,92,59,136,209,196,197,195,194,193,169,174,179,182,183,186,188,191,193,196,171,143,125,115,116,123,137,129,105,88,68,185,202,198,197,196,194,192,168,173,178,181,183,184,188,190,192,192,180,154,139,133,136,131,134,131,101,77,103,204,197,197,197,194,193,192,166,172,177,180,181,183,187,189,192,186,184,163,153,151,144,137,134,123,98,71,136,208,196,196,194,194,193,191
10,125,128,131,134,137,139,141,143,142,144,145,146,147,146,147,147,147,147,147,148,147,147,148,147,147,147,145,144,127,130,134,137,139,142,144,146,146,147,148,148,150,149,150,149,150,150,150,150,150,149,150,150,149,149,148,148,131,133,137,140,142,144,147,148,150,150,150,151,153,152,151,155,153,152,153,153,152,152,152,153,153,152,151,151,133,136,139,142,145,148,150,151,153,154,155,155,154,157,154,122,156,157,156,155,154,156,156,155,155,156,155,153,135,138,141,144,148,151,153,155,155,156,157,157,156,160,169,103,132,165,156,157,157,158,158,159,158,157,157,155,137,141,144,147,150,153,156,156,157,158,160,160,160,159,172,142,102,160,160,160,160,161,161,161,161,159,158,157,139,143,146,149,152,155,157,158,160,160,161,162,164,162,170,170,113,137,169,161,162,162,163,163,162,162,162,160,141,145,149,152,154,157,159,160,161,162,162,162,158,156,172,190,149,111,168,164,164,165,165,165,164,163,163,162,143,146,150,154,157,159,160,161,162,164,163,170,156,96,142,196,177,105,145,172,167,169,168,168,167,165,164,163,144,148,152,156,158,161,162,164,165,166,166,171,174,117,84,178,189,123,114,176,167,170,169,169,169,169,168,167,146,151,154,156,159,162,164,166,167,168,169,167,189,177,126,127,175,146,95,174,170,171,172,171,171,170,169,169,147,152,155,158,161,163,165,167,169,170,169,181,164,202,171,97,114,165,85,163,174,173,174,173,173,172,171,171,149,152,156,159,162,165,167,168,169,170,180,182,124,133,174,112,71,110,80,145,180,172,174,174,174,174,174,174,149,152,156,160,162,166,169,170,167,185,191,166,122,49,135,146,84,57,61,101,183,175,176,176,174,175,176,175,150,153,157,161,163,167,170,170,168,186,198,130,77,16,81,143,112,64,53,67,166,181,176,177,176,176,176,176,151,155,158,162,165,169,169,173,183,163,193,155,91,22,59,132,135,104,64,58,145,185,176,179,178,177,176,176,151,155,159,163,166,169,169,176,197,181,164,194,162,63,71,157,149,129,74,51,135,189,178,180,181,179,177,177,152,155,159,164,167,170,171,173,175,198,170,151,179,132,121,176,154,133,81,46,130,191,179,181,181,180,180,179,151,155,159,162,166,168,169,175,153,162,164,107,154,159,99,180,155,124,91,49,124,192,180,182,181,180,180,180,152,155,159,162,165,168,169,173,184,155,139,117,98,142,164,190,163,123,83,53,124,191,179,181,180,179,179,179,152,155,159,162,165,168,169,172,193,184,142,128,122,193,205,187,157,114,79,55,132,191,179,181,180,179,179,180,152,156,160,162,165,168,171,170,184,191,161,155,152,202,192,175,147,100,78,60,123,192,180,181,181,181,180,180,153,157,160,163,165,168,169,171,177,190,171,181,159,197,184,157,135,101,93,70,113,192,180,182,181,181,181,180,152,157,162,165,169,172,174,177,179,185,182,190,160,174,179,152,138,113,117,77,124,195,182,184,183,183,182,181,91,96,100,102,108,114,117,119,120,177,193,187,170,148,167,152,151,127,115,74,126,178,171,176,178,180,181,182,77,77,76,73,73,75,76,78,71,131,191,173,161,146,148,158,167,130,100,75,79,88,90,92,96,98,98,102,83,83,83,87,89,88,86,86,85,89,170,157,151,145,143,161,167,127,92,73,87,87,84,85,84,83,82,82,81,81,82,84,85,87,86,83,87,77,145,162,150,149,156,151,157,127,88,73,97,95,92,97,95,96,96,98
22,96,100,106,116,125,133,139,142,146,152,155,159,162,164,167,169,169,172,171,171,171,172,170,169,169,169,168,167,97,101,108,119,128,136,141,145,149,154,158,162,165,167,169,171,172,174,175,175,175,175,173,172,172,171,171,170,97,102,108,120,129,138,143,147,151,157,162,166,168,168,172,174,175,176,177,177,177,177,176,176,176,174,174,174,99,103,109,121,131,141,147,148,152,158,165,165,172,172,174,176,177,179,179,181,184,181,180,180,178,181,178,177,99,104,111,123,133,144,149,150,155,161,165,191,147,166,179,178,180,182,186,174,163,187,183,181,182,162,178,179,99,103,112,125,135,145,150,153,158,161,175,219,124,149,185,179,183,183,204,161,108,189,184,194,182,107,153,188,100,103,112,126,137,146,150,154,160,163,179,226,135,143,190,181,185,190,205,138,109,196,187,205,173,101,169,189,100,104,113,128,139,148,152,155,163,166,177,230,155,137,192,186,186,202,205,115,142,200,206,198,129,121,195,186,101,105,115,129,140,150,154,157,165,169,178,236,176,130,191,189,190,198,184,103,167,205,217,186,114,169,196,189,102,105,116,130,142,151,155,159,166,172,177,230,180,123,183,192,195,206,165,93,192,216,190,147,125,198,192,192,102,105,117,131,143,152,158,160,168,175,176,225,202,135,171,195,205,224,149,97,233,229,182,107,163,202,194,194,102,105,117,131,143,154,159,163,169,178,175,220,216,153,160,202,203,212,100,137,252,219,160,112,199,197,198,196,102,106,119,133,144,156,160,163,171,179,178,201,210,141,116,186,192,198,167,216,224,195,114,140,211,199,200,198,105,107,119,133,145,158,161,164,172,179,182,182,209,138,143,194,201,208,228,223,204,149,94,190,206,201,200,199,103,107,120,135,147,158,162,166,171,184,201,151,195,166,170,221,197,215,214,216,181,106,138,217,203,204,201,201,103,107,121,136,148,159,162,167,169,206,210,177,159,164,147,176,196,215,210,190,153,100,179,215,205,206,203,204,104,107,121,136,148,160,164,169,173,202,201,204,193,189,144,87,146,189,186,151,138,98,195,214,209,208,205,205,104,108,123,136,149,160,165,170,173,195,209,182,190,177,138,116,91,102,131,129,116,98,210,214,211,209,208,206,103,108,124,137,152,161,165,171,172,202,201,178,159,149,162,149,123,94,88,83,109,95,208,215,211,210,209,209,104,108,124,139,151,161,167,171,175,197,241,208,154,145,159,169,147,125,119,89,75,86,202,217,212,211,210,210,104,109,123,139,152,162,166,171,177,190,251,198,178,176,203,214,165,141,131,84,64,76,205,217,213,212,211,211,103,108,124,139,153,163,167,171,179,186,248,210,187,213,240,229,183,150,127,82,60,90,218,215,215,213,212,212,103,108,124,139,153,164,167,171,181,184,240,222,189,210,240,205,182,138,119,88,55,115,228,214,216,214,213,213,102,108,124,140,153,163,167,173,182,182,227,235,207,201,240,190,184,164,118,89,54,124,231,215,218,216,213,213,99,107,125,140,154,163,166,173,182,183,210,238,216,186,232,199,177,169,120,82,53,143,231,216,218,217,214,213,98,106,124,140,153,162,164,172,182,190,206,232,218,172,207,193,162,147,103,73,60,183,226,216,217,215,214,213,97,105,124,139,152,162,165,173,183,178,147,209,209,155,158,157,130,111,83,71,86,217,220,218,219,216,215,215,95,103,122,139,152,162,166,171,190,112,16,169,192,135,147,153,136,106,91,66,116,232,218,219,218,216,215,216
8,80,86,91,96,99,102,105,106,108,109,112,114,115,117,120,120,122,124,124,125,125,125,127,129,129,129,129,129,81,87,92,96,100,103,106,107,108,115,103,107,117,118,120,122,123,124,125,125,126,127,129,130,130,130,130,129,82,89,93,97,102,105,108,107,115,135,88,77,123,118,120,122,124,125,126,127,129,130,129,129,130,130,130,130,83,90,95,100,102,105,109,104,125,127,72,73,125,119,121,124,125,125,126,129,131,129,132,131,131,131,131,132,85,89,96,101,103,106,109,105,138,109,58,90,126,120,122,124,127,128,128,130,130,131,115,128,133,131,133,133,88,90,97,102,104,108,108,113,141,93,56,103,125,122,124,125,126,129,131,129,139,131,64,103,140,131,133,134,89,92,97,101,103,109,107,124,141,93,61,117,124,123,125,127,132,130,131,129,148,123,51,99,142,134,136,135,88,93,98,102,106,111,105,133,134,89,65,121,119,125,127,119,112,128,132,119,147,126,67,94,144,134,136,136,89,95,100,103,107,111,105,142,128,78,76,122,96,104,133,116,86,87,127,104,145,131,100,73,133,139,138,138,90,96,103,104,106,111,108,151,132,90,129,127,99,88,131,118,82,77,120,97,121,143,109,67,96,145,136,140,91,97,102,103,108,112,112,157,129,113,162,131,94,91,128,107,68,80,113,78,125,151,111,68,80,148,138,141,91,97,102,106,109,110,120,150,119,97,159,141,84,96,127,94,56,78,102,72,147,147,112,64,91,150,139,142,93,98,102,104,108,109,122,145,130,107,142,135,69,108,123,83,57,60,93,72,148,137,104,58,96,150,140,143,92,99,104,106,112,108,130,148,141,134,142,131,88,106,133,97,54,62,91,100,142,118,91,54,107,151,142,144,93,98,104,106,110,109,147,141,136,121,133,142,107,117,148,107,53,80,112,131,136,108,82,54,119,149,142,144,92,98,104,109,108,118,147,115,112,103,112,121,87,115,113,78,103,134,134,115,118,106,81,52,122,150,143,144,94,99,104,108,107,134,146,117,106,96,81,79,74,77,105,135,148,134,128,104,93,95,79,48,126,150,143,146,94,100,104,109,106,154,145,126,112,91,80,77,81,125,167,167,141,128,117,92,77,78,66,56,146,147,146,147,94,101,105,108,117,165,145,129,110,93,82,66,111,168,166,160,141,118,103,82,69,71,50,90,154,145,147,147,96,102,107,104,134,169,141,129,113,102,88,94,155,163,161,151,129,107,91,74,62,65,47,130,152,146,148,149,96,102,110,101,147,170,141,127,119,112,105,138,158,157,151,141,118,98,84,66,60,57,52,143,152,147,149,151,97,102,110,102,158,167,142,135,130,123,138,155,162,147,134,127,108,89,77,62,60,51,68,152,148,148,150,150,98,103,109,103,165,169,144,135,126,129,153,161,157,135,123,116,99,83,69,60,58,44,111,155,148,151,151,150,99,104,110,104,157,172,150,138,127,129,150,155,139,125,114,107,90,74,63,58,47,82,151,148,150,150,151,152,97,103,110,104,152,172,153,143,129,126,140,142,134,124,108,102,86,69,61,50,70,145,149,149,150,151,151,152,98,104,110,106,141,163,139,135,126,127,132,139,137,126,110,101,84,66,51,52,133,152,148,150,150,151,151,152,98,104,110,107,133,148,139,133,135,136,124,129,131,118,103,94,77,55,39,110,151,147,149,150,150,151,152,153,99,105,111,108,130,153,148,142,144,138,121,122,128,115,97,86,69,39,71,148,147,149,150,151,152,152,152,152
17,127,130,131,135,137,137,139,140,142,143,144,145,147,149,149,150,151,150,151,151,152,152,151,150,150,150,150,149,130,132,134,137,139,141,142,143,143,144,145,146,149,147,149,151,151,151,152,153,153,153,152,151,151,151,150,149,133,136,138,140,142,143,145,146,146,146,148,149,159,131,131,154,153,153,153,154,154,155,154,153,153,152,152,151,137,139,141,144,146,146,148,149,150,150,150,157,155,107,108,156,156,156,156,156,156,156,156,155,154,154,153,153,141,144,146,148,150,150,151,152,153,154,154,162,166,105,103,159,158,159,159,158,159,159,159,158,157,157,157,156,145,148,150,152,154,155,156,157,157,158,158,169,181,127,96,155,160,161,162,161,162,161,162,161,160,159,159,159,149,152,155,157,159,159,159,160,161,162,162,176,186,141,87,136,166,165,165,165,165,165,166,166,164,161,160,161,153,157,158,160,163,163,164,165,166,167,166,184,181,154,102,116,169,168,168,168,168,169,169,168,167,165,164,164,157,160,162,165,166,167,168,169,170,170,169,191,167,169,119,99,167,173,172,173,173,172,172,171,170,169,168,168,161,164,167,169,170,170,172,173,173,173,175,195,155,180,131,94,162,176,176,177,176,176,175,175,173,172,171,170,164,167,169,173,174,174,176,176,176,175,172,192,160,192,155,102,152,180,179,180,180,180,179,178,176,176,174,173,167,170,172,175,176,177,178,179,182,183,159,136,135,182,166,111,140,183,182,183,183,182,181,180,179,178,177,177,170,173,176,177,178,179,180,181,192,196,169,126,96,146,159,114,127,185,184,186,186,186,184,183,181,181,180,179,173,175,178,179,181,182,183,184,188,166,161,156,135,122,122,105,114,187,187,187,188,188,187,187,185,184,182,181,174,177,180,182,184,184,185,188,190,149,148,170,178,148,93,83,101,185,189,190,191,191,190,190,188,186,185,185,177,180,183,186,186,186,186,191,203,190,145,148,167,138,83,69,85,175,193,193,193,192,192,191,191,189,187,187,179,182,185,187,188,189,192,181,152,197,156,104,147,143,92,68,71,157,197,195,195,195,194,194,193,192,191,189,180,184,187,188,190,191,198,167,117,139,153,80,113,165,108,69,63,146,200,197,197,197,196,196,195,194,193,192,183,187,189,191,192,195,202,174,129,99,142,104,110,185,128,80,61,142,203,198,199,199,198,197,196,195,195,194,185,188,191,193,194,197,192,144,105,83,124,126,137,194,147,99,64,145,204,201,200,200,200,199,197,197,196,196,187,189,192,195,195,199,187,152,118,108,110,148,178,185,150,111,71,156,204,201,202,202,201,200,201,200,198,197,189,191,194,197,197,206,196,151,132,125,136,204,194,163,133,105,77,175,205,203,204,203,202,201,201,201,200,199,190,193,195,198,200,215,190,163,146,121,161,206,171,149,123,91,84,189,206,206,205,205,205,204,202,202,201,200,192,194,196,199,202,219,200,178,134,129,176,192,156,145,120,82,90,198,208,208,208,207,206,206,204,204,202,201,193,196,198,199,203,216,209,163,150,131,198,192,153,139,109,76,102,205,209,209,209,208,208,207,206,206,204,203,194,196,199,201,202,203,200,165,156,144,209,189,148,125,96,71,118,209,210,210,210,209,209,208,207,206,205,204,194,197,199,201,201,194,191,174,150,149,204,175,132,105,83,68,144,212,212,213,211,210,209,209,208,207,207,207,195,199,200,202,204,192,177,173,150,151,191,160,119,91,75,76,181,213,212,213,212,212,212,211,209,209,208,208
15,131,132,126,88,139,106,37,84,91,91,93,96,99,104,116,125,132,138,141,143,147,152,156,159,162,164,166,167,135,136,125,90,145,99,38,87,91,92,94,97,100,104,117,127,135,139,141,144,149,153,157,160,163,166,167,169,139,140,121,94,151,92,41,90,90,92,95,98,100,105,118,128,136,141,143,146,151,155,159,163,165,167,169,171,141,144,118,100,156,83,44,92,90,93,95,99,100,107,120,128,136,143,145,147,152,156,160,164,166,167,170,172,142,148,114,107,158,74,50,94,91,93,96,100,100,108,121,129,138,144,146,149,153,158,162,165,167,170,171,173,145,151,108,115,159,68,57,96,92,95,97,100,101,108,121,131,139,144,147,150,155,160,164,166,169,172,173,176,147,154,104,123,156,54,56,91,87,89,93,98,101,109,122,132,141,146,148,151,157,161,165,167,171,173,175,176,149,157,103,144,159,111,109,125,119,116,112,107,103,110,122,132,140,148,149,152,158,161,165,169,171,174,176,177,152,154,117,171,144,144,142,161,150,148,150,153,140,128,119,129,137,139,141,155,158,161,166,169,172,176,176,178,153,154,104,141,107,112,112,137,123,120,147,160,141,124,128,151,158,141,118,116,163,164,167,171,173,176,178,180,154,154,96,150,120,70,90,110,107,102,133,147,130,111,140,161,153,152,159,104,117,168,169,171,175,177,179,181,159,152,95,166,134,35,87,96,94,97,100,120,120,137,171,153,142,164,167,149,102,107,174,174,175,178,180,183,163,148,97,171,122,37,93,97,96,94,103,133,135,138,167,138,136,161,150,162,129,89,107,177,179,177,182,184,165,145,102,178,114,36,96,96,95,94,166,155,115,106,113,109,140,147,148,147,131,115,82,103,172,184,182,185,170,140,107,183,105,39,99,96,93,102,173,165,128,99,70,77,142,160,152,118,110,108,99,80,90,169,188,184,176,136,116,186,96,42,101,95,95,85,144,181,154,141,124,129,138,140,131,98,89,96,91,91,78,91,183,187,180,129,124,186,87,46,103,94,94,127,163,167,162,141,125,127,122,119,125,105,89,92,89,86,86,71,122,198,182,124,132,184,79,51,105,87,149,167,154,137,153,129,96,109,107,105,108,95,88,93,91,88,85,84,77,148,184,119,139,184,71,55,106,90,157,140,120,111,125,104,86,89,87,86,87,89,94,105,104,88,83,87,85,84,184,114,149,182,62,60,106,92,110,106,89,108,106,87,83,95,84,76,100,103,111,120,108,83,81,87,88,85,186,111,157,178,56,66,105,95,93,94,94,121,160,130,104,101,99,88,95,104,110,110,97,82,83,89,91,89,184,109,167,175,50,70,105,94,95,96,98,97,113,115,92,77,109,127,80,86,109,104,91,87,88,94,91,89,185,106,179,174,44,75,104,94,94,95,96,99,102,115,125,135,143,128,112,108,98,92,89,91,95,94,91,89,183,106,187,169,39,80,105,93,93,94,96,97,103,120,133,143,155,144,81,98,117,119,110,102,90,79,74,71,177,109,195,161,36,85,104,94,94,94,95,96,103,119,131,140,156,123,74,70,127,108,76,60,47,43,43,35,171,111,200,153,34,89,101,92,92,93,93,95,102,117,131,141,156,105,84,84,47,53,54,44,41,39,36,32,164,117,205,143,33,92,99,90,90,91,93,93,101,117,130,144,147,94,79,84,66,35,59,47,42,39,36,32,158,126,210,134,33,95,98,90,89,89,91,92,100,115,128,145,132,83,81,79,78,29,47,48,38,34,35,31
19,157,161,165,168,171,174,176,178,178,180,180,180,180,180,180,180,181,179,179,178,178,177,176,174,180,183,159,199,160,164,169,172,174,177,180,181,183,183,184,184,184,185,184,183,183,182,182,182,181,181,179,178,184,157,156,200,164,168,172,176,178,181,183,186,187,188,188,189,189,181,186,188,187,186,186,186,185,185,184,182,182,185,195,201,168,172,175,179,183,185,188,189,190,192,192,201,194,150,147,190,191,190,189,189,188,187,186,185,183,188,184,164,171,176,179,183,187,189,192,193,194,196,195,213,193,140,111,178,196,194,193,192,192,191,190,188,187,186,176,165,177,180,184,187,191,195,196,197,199,201,200,217,195,148,105,156,200,197,196,195,195,195,193,192,190,189,185,185,179,183,188,191,195,198,199,201,202,204,203,219,200,157,106,133,204,201,200,199,198,198,196,195,193,192,189,192,183,186,190,195,198,201,203,205,206,208,207,221,198,151,101,115,204,205,204,202,202,201,200,198,197,195,193,195,186,190,194,198,201,204,207,208,210,212,211,220,195,156,130,146,181,180,189,193,194,194,199,201,201,199,197,198,188,192,197,200,203,207,210,211,211,210,208,213,203,195,195,194,172,149,164,176,165,157,161,163,181,190,196,202,190,194,199,202,207,210,204,189,190,202,204,211,207,208,204,188,169,152,162,177,168,164,161,150,174,175,165,198,193,196,201,205,208,221,205,185,189,193,194,195,193,188,183,171,155,128,131,149,156,158,157,147,156,162,139,183,194,198,203,208,212,227,203,189,184,176,178,183,180,177,177,172,159,119,149,165,165,160,153,149,154,160,93,159,197,200,205,209,215,205,166,154,162,171,184,187,181,180,178,176,165,133,184,224,220,216,213,210,214,172,76,110,198,202,207,210,223,190,164,157,160,168,172,170,174,175,173,170,152,119,182,225,222,222,220,219,215,121,76,72,199,202,207,212,217,180,174,172,168,159,140,145,159,151,140,142,127,111,206,225,225,226,221,211,172,89,75,75,200,204,209,213,220,209,190,167,157,162,165,163,161,155,147,142,131,124,217,226,207,177,139,102,80,74,75,76,201,205,210,214,225,232,206,166,144,157,163,163,163,160,152,144,138,122,164,143,87,69,71,64,63,70,71,73,201,206,210,216,227,233,209,169,151,145,138,140,146,145,137,130,123,105,71,55,58,50,55,53,65,66,65,69,203,208,211,217,225,226,218,178,156,137,122,125,137,138,129,122,107,84,62,58,61,55,50,48,58,61,58,64,203,209,212,221,229,231,228,191,154,131,142,150,149,143,133,124,103,59,52,62,57,54,53,52,49,52,53,59,203,208,210,221,231,232,231,197,153,129,138,145,142,132,119,113,99,55,43,55,58,55,46,47,52,52,53,54,203,208,209,217,231,227,214,178,149,138,138,144,141,125,114,114,91,56,45,46,54,56,48,38,45,48,57,58,203,208,210,216,228,221,204,172,150,145,138,137,122,106,111,110,57,48,50,44,45,56,54,41,38,42,51,54,203,208,209,215,223,217,194,166,148,148,140,121,94,84,88,78,38,36,45,43,44,48,56,48,36,39,38,37,204,208,208,214,217,208,176,150,153,170,140,96,80,52,25,43,48,35,38,43,43,44,48,53,40,36,37,34,191,195,200,216,212,199,173,155,166,166,130,91,76,44,13,26,49,45,37,42,39,39,42,47,46,32,34,33,129,131,182,218,210,198,179,172,176,159,125,94,68,53,17,16,39,50,43,40,37,33,38,40,45,35,29,33
10,89,98,114,134,144,152,157,160,161,164,166,168,168,169,170,170,168,168,167,166,165,163,161,159,158,157,154,151,89,99,115,136,146,154,158,161,164,166,168,170,170,171,172,172,172,171,169,169,154,151,163,162,160,157,156,153,90,101,117,137,148,156,160,163,165,168,171,172,173,174,174,174,174,174,172,174,140,113,163,164,163,160,158,155,92,102,119,139,150,157,162,165,166,170,173,174,174,176,177,176,176,176,175,177,140,102,159,167,165,163,160,158,94,103,120,140,151,158,164,167,168,171,174,176,177,178,179,179,179,178,177,178,137,98,156,170,168,166,163,161,95,104,122,142,152,161,167,168,170,174,176,177,179,180,181,182,182,181,180,180,137,98,157,173,171,169,167,164,97,106,124,143,154,162,168,170,171,176,179,180,181,182,183,184,183,183,182,184,143,100,157,175,173,171,169,166,98,106,124,144,155,163,168,170,173,178,181,181,182,184,185,186,186,185,184,184,137,95,157,177,174,172,170,167,98,107,125,145,156,163,169,171,174,179,182,183,185,186,186,187,188,187,187,167,108,89,159,179,176,175,172,169,99,108,127,145,156,164,169,172,175,180,183,185,186,187,188,188,185,176,183,147,84,92,167,181,179,176,173,170,100,109,128,145,157,165,170,174,177,181,185,186,187,188,190,191,181,152,137,119,81,82,170,181,180,177,174,172,101,110,129,146,158,166,172,174,178,183,186,187,189,187,174,178,182,166,124,82,78,76,156,183,180,178,175,173,102,111,131,147,158,167,172,175,179,184,187,189,190,183,145,120,113,131,93,72,80,71,127,186,182,179,177,175,102,112,132,147,159,168,173,176,179,184,187,185,177,184,159,118,56,56,56,90,95,70,116,187,183,180,179,176,103,112,132,147,160,168,174,177,180,184,188,175,142,146,171,132,69,47,55,113,130,82,108,186,184,182,180,177,103,113,134,148,160,168,175,178,182,185,190,181,161,130,157,140,91,48,61,119,150,97,99,184,186,183,180,178,103,113,134,149,161,169,175,179,182,187,189,168,165,138,130,137,97,51,76,137,153,104,86,177,187,183,181,179,104,113,134,149,161,169,175,179,183,187,192,165,138,124,97,128,109,73,106,152,140,98,83,175,188,185,182,179,104,113,134,150,161,169,176,179,183,187,190,168,134,114,98,123,140,104,125,154,116,83,91,184,189,186,182,180,104,114,135,150,161,169,176,179,183,187,189,187,158,119,109,113,142,111,129,143,106,71,104,189,188,186,184,181,104,115,136,149,161,170,177,180,184,187,188,190,172,141,117,108,146,148,145,130,101,65,120,193,189,186,185,183,102,114,135,148,160,169,175,178,182,187,188,183,172,153,132,121,160,174,148,119,94,63,137,193,189,185,183,181,101,112,133,146,159,168,174,177,181,186,188,176,166,156,143,131,155,168,139,109,84,62,155,191,187,184,181,180,99,110,132,145,158,167,173,177,182,186,189,185,167,160,148,131,144,154,127,97,70,73,176,189,186,185,182,180,98,109,131,144,156,166,173,176,181,185,188,190,176,158,142,126,126,134,113,86,61,111,189,189,186,184,182,180,109,119,137,148,158,166,172,175,178,182,185,187,185,164,138,123,118,125,115,85,63,145,182,179,177,173,171,169,132,135,140,140,136,136,136,136,136,135,134,132,144,168,145,139,130,126,117,83,64,104,112,110,108,106,103,96,105,104,105,105,104,104,105,105,106,105,104,104,118,171,159,151,134,124,106,79,63,88,92,90,88,80,53,35
10,79,80,82,85,86,99,117,130,154,151,143,166,168,175,179,183,187,191,193,196,199,200,202,203,203,204,206,206,79,80,82,85,86,100,119,129,169,158,111,154,176,175,181,185,189,193,196,200,201,203,204,206,206,206,208,208,79,80,83,85,87,102,121,135,157,163,125,105,167,182,182,187,191,195,198,202,204,205,207,209,209,209,210,209,80,80,83,85,89,105,124,140,149,156,134,102,107,186,186,189,194,197,199,204,206,208,210,210,210,212,212,212,80,81,83,86,89,108,126,142,151,158,137,118,91,141,196,191,195,198,203,206,209,211,212,213,213,213,215,214,80,81,84,84,90,110,128,143,154,158,156,133,115,91,175,198,197,202,206,210,211,214,215,216,215,215,217,216,80,81,84,86,91,112,129,145,153,159,172,155,123,97,112,202,200,205,209,211,213,216,216,217,217,217,218,218,80,82,84,83,97,116,135,145,168,130,153,179,146,130,91,175,210,206,211,214,215,216,217,217,219,220,220,220,80,83,79,126,147,99,119,155,180,115,102,185,171,144,104,130,214,206,211,214,216,217,219,220,221,221,222,222,80,83,77,136,137,83,74,107,143,122,77,141,193,142,116,91,194,212,211,215,217,220,221,222,223,224,224,223,80,83,82,91,105,85,78,72,82,117,100,84,174,153,114,89,144,222,211,217,218,221,223,224,224,224,224,225,80,82,85,84,102,105,81,76,76,116,125,99,98,151,128,126,89,198,219,218,220,222,224,224,225,225,225,226,80,81,85,86,103,126,128,104,81,109,139,119,86,87,112,132,88,140,226,218,223,223,225,226,226,227,228,228,80,81,84,86,105,125,146,159,137,96,143,140,114,78,81,103,96,92,207,223,223,224,225,227,227,229,229,229,79,80,82,86,106,126,139,168,178,107,87,169,144,110,77,74,88,79,184,229,222,225,225,227,228,228,229,230,78,80,81,86,107,132,149,172,182,145,57,146,180,136,106,82,83,73,167,230,220,223,224,226,227,228,229,230,78,78,80,87,104,154,172,164,197,167,84,91,199,154,132,103,81,69,151,232,221,224,225,227,227,228,229,230,76,77,79,87,105,143,184,157,186,176,114,122,199,167,149,113,82,68,138,231,221,225,228,228,229,230,230,231,78,77,76,85,108,126,168,162,159,171,135,158,188,151,146,108,87,75,130,232,223,225,227,227,229,229,230,230,114,111,111,114,120,123,142,164,160,184,150,144,187,142,140,111,90,79,119,225,224,227,229,232,234,235,236,238,108,110,113,115,114,109,117,167,170,180,187,140,171,153,142,117,92,82,97,147,150,153,157,161,164,168,173,177,111,111,112,115,118,120,114,170,196,168,197,146,108,154,141,120,97,88,86,121,128,128,129,127,127,126,125,126,111,112,114,116,118,120,115,140,201,183,174,163,107,131,138,117,99,89,84,121,137,132,134,135,136,136,137,137,111,112,114,116,118,120,120,124,185,193,185,193,183,144,130,113,98,88,85,114,135,131,131,134,134,134,136,136,111,113,114,115,118,118,121,116,152,188,190,185,193,170,126,104,97,92,87,112,134,132,131,132,133,133,134,135,110,111,113,114,116,118,119,121,122,173,192,182,179,177,132,102,104,98,88,112,133,131,132,133,132,133,134,135,109,110,111,114,117,117,120,122,119,138,184,179,167,158,142,122,119,105,85,104,132,131,131,135,131,132,133,131,108,109,111,112,115,117,118,119,122,118,159,171,158,145,145,143,134,115,91,92,127,131,132,132,132,134,128,159
16,45,41,39,36,37,39,39,42,42,49,66,79,92,102,112,121,124,127,132,134,140,148,153,158,163,167,171,174,44,41,38,36,37,37,39,41,40,49,66,78,91,101,110,121,126,125,129,135,142,144,153,158,162,166,170,173,43,40,37,35,36,37,38,38,38,49,64,76,89,101,111,118,122,148,129,104,130,152,155,153,161,165,168,172,42,39,36,35,35,35,38,39,37,49,64,76,89,97,111,118,160,168,130,95,68,85,135,165,162,163,168,171,44,39,35,34,35,35,36,36,37,48,64,80,78,146,168,163,170,138,105,97,76,42,38,96,161,174,172,173,42,38,35,34,35,36,36,34,37,46,66,62,107,194,163,147,140,118,96,75,65,60,40,23,55,121,154,173,40,39,37,34,34,34,35,35,34,49,53,87,178,158,127,124,112,100,80,53,59,64,50,40,30,29,53,86,40,38,35,34,34,33,35,35,37,41,59,161,158,122,115,100,79,69,53,51,47,63,64,44,45,35,30,28,38,34,33,31,32,29,32,37,26,69,135,137,113,106,87,66,55,43,46,48,23,65,63,73,51,41,34,29,36,33,31,30,32,30,33,24,45,173,138,104,96,79,54,46,35,29,43,27,13,75,68,88,59,48,34,25,32,29,24,24,25,25,31,1,139,193,133,95,61,47,41,32,18,30,31,0,21,81,72,85,65,50,33,26,107,102,99,94,87,84,73,85,192,165,116,68,33,20,18,11,18,29,0,0,39,76,70,93,75,65,42,37,83,79,79,76,75,75,69,173,168,133,81,40,15,11,7,0,0,0,0,0,39,69,71,110,103,80,56,38,74,73,73,74,75,59,108,171,123,88,47,22,7,12,0,0,0,0,0,0,24,70,81,121,105,82,73,32,80,80,79,81,75,80,173,139,84,39,25,12,9,11,0,0,0,0,0,0,0,56,95,128,74,79,79,23,80,83,82,84,64,139,172,98,47,10,7,12,18,20,19,1,0,0,0,0,0,52,136,98,48,71,64,14,81,84,88,74,100,160,106,54,12,41,26,16,23,28,25,25,0,0,0,0,0,130,126,66,41,47,30,14,80,84,80,84,160,110,53,9,34,98,50,51,45,38,33,22,12,9,11,0,93,145,89,47,30,23,12,14,83,83,68,148,134,55,11,17,78,63,42,49,51,40,36,26,14,15,0,28,167,120,63,25,17,9,10,16,82,84,77,124,75,17,21,72,81,66,70,52,33,22,24,17,9,14,6,113,172,120,35,9,7,4,13,11,79,83,83,82,68,62,78,81,82,83,80,72,61,43,56,54,51,69,72,170,170,128,33,0,1,22,19,10,79,80,81,81,83,84,80,80,81,81,82,84,85,85,86,84,85,85,75,174,176,128,45,0,41,29,18,15,76,80,81,80,79,80,79,79,82,82,81,83,82,82,82,81,82,83,72,142,156,114,34,54,115,46,39,35,75,78,79,79,80,80,79,80,81,81,82,83,83,82,83,82,83,85,77,101,123,67,34,79,122,83,49,51,75,77,79,79,79,79,79,80,80,80,80,82,82,82,82,83,83,82,82,82,88,57,58,75,108,141,82,65,75,77,77,79,79,79,79,78,80,81,81,82,82,83,82,83,83,83,81,82,82,83,86,79,80,157,123,100,75,76,78,80,79,78,79,78,80,81,80,81,81,82,82,82,84,83,82,83,82,81,84,86,69,147,155,122,77,75,78,79,77,77,79,78,79,80,79,78,80,80,80,80,82,82,82,82,83,82,84,87,65,129,172,137
1,167,167,168,168,168,169,169,168,170,169,168,169,168,168,167,165,165,166,164,161,160,160,159,158,157,155,153,151,171,171,171,171,171,172,172,172,173,173,172,172,171,171,170,171,168,156,165,165,164,164,163,160,159,158,155,154,175,175,175,174,175,176,175,176,177,175,175,175,174,174,171,164,179,121,146,179,166,166,165,164,163,160,158,158,179,178,178,178,178,179,179,178,179,178,179,179,177,177,182,127,160,128,111,154,171,169,167,165,165,163,161,160,182,180,180,181,182,182,182,182,182,182,182,182,181,181,184,114,156,123,72,97,152,176,170,169,167,166,164,162,184,184,184,183,184,184,184,185,184,184,185,185,186,188,173,105,165,105,96,121,124,183,170,171,171,169,166,165,186,187,187,187,186,186,188,188,186,185,187,182,156,188,162,110,180,106,117,131,110,185,173,174,173,172,169,166,190,190,190,190,191,190,191,191,190,190,189,183,118,168,160,125,174,95,127,139,112,186,177,177,175,173,172,170,192,192,191,192,194,191,192,192,192,191,191,179,110,171,134,142,162,91,152,146,113,187,179,179,177,176,175,173,195,194,195,194,194,194,193,193,194,193,198,167,110,176,120,158,162,105,173,134,112,190,180,181,180,178,177,175,196,197,197,197,197,198,197,197,197,196,199,157,106,186,123,159,166,104,169,132,117,193,182,183,182,181,179,177,198,197,198,199,198,199,200,199,198,199,201,138,108,191,111,147,152,89,172,141,126,196,185,185,184,183,181,178,200,200,199,200,200,200,200,201,200,200,202,137,110,179,90,143,138,90,180,132,124,199,188,187,186,185,183,181,201,201,202,201,201,203,202,202,202,203,196,124,117,164,130,159,159,117,135,119,128,201,190,190,187,185,183,182,203,204,204,204,203,203,204,203,203,203,181,151,154,131,143,145,146,143,122,107,106,195,192,192,191,189,187,185,204,205,205,205,205,205,205,205,204,202,189,163,130,115,121,140,153,131,123,139,98,173,200,192,192,190,187,186,206,206,206,206,206,206,206,206,205,205,185,139,108,115,121,153,158,135,172,171,108,144,207,192,193,191,189,187,206,206,207,207,207,206,208,209,206,200,182,136,105,125,131,160,169,180,145,171,143,121,204,195,195,193,192,190,206,207,208,209,209,209,209,210,207,194,189,149,101,114,147,167,175,189,160,155,142,96,193,199,196,195,193,192,209,209,210,210,210,210,210,211,206,190,194,161,115,105,147,171,178,176,161,143,106,79,195,200,197,196,194,192,211,211,211,211,211,211,211,213,208,185,191,164,128,104,139,186,191,187,155,128,86,110,211,198,199,198,196,194,211,211,212,212,212,212,212,213,211,183,178,163,135,115,150,198,189,177,142,114,72,168,211,199,199,198,197,194,210,211,212,212,212,212,212,213,213,190,178,164,143,126,161,193,180,160,128,93,91,208,203,202,200,199,199,196,209,210,211,211,211,212,212,212,215,197,175,172,157,130,161,183,169,140,111,68,142,216,202,202,200,199,198,196,209,210,211,211,211,212,213,212,214,204,176,175,159,135,150,160,141,117,79,76,201,205,203,201,199,198,196,194,211,211,212,212,212,213,213,212,215,202,181,176,157,139,141,145,118,89,61,170,212,203,204,202,199,198,196,194,210,211,212,212,212,212,212,213,215,191,186,176,169,153,134,127,97,61,159,219,204,206,204,204,201,201,204,194,210,211,211,213,212,212,213,215,209,179,192,181,177,150,129,106,67,101,219,207,209,206,204,203,203,188,160,110
19,186,188,192,194,196,200,201,202,203,204,204,205,205,207,208,209,209,209,209,209,209,207,209,210,208,207,208,206,188,192,197,200,201,204,206,207,207,208,207,208,210,212,212,214,213,212,212,214,214,212,214,214,213,213,212,210,193,196,201,205,207,208,210,212,213,213,213,214,214,216,220,216,215,216,217,217,217,216,216,216,215,216,215,214,199,201,206,209,211,213,213,215,216,217,216,221,215,166,186,227,218,221,222,221,222,221,221,221,220,220,217,215,202,205,209,213,214,216,216,218,219,221,218,235,223,164,128,227,224,224,224,224,224,223,225,225,225,224,223,221,205,208,212,216,218,220,221,222,223,224,222,240,229,181,106,208,239,234,233,230,229,228,227,228,228,228,227,226,209,213,216,220,222,224,225,227,227,229,228,240,230,176,107,187,209,204,228,228,230,235,237,234,234,232,230,229,213,217,219,222,224,226,228,230,235,237,233,237,219,198,211,219,190,152,185,187,180,192,199,226,225,232,233,231,216,220,223,225,228,230,232,234,232,228,228,224,225,228,218,203,185,146,162,191,188,184,169,197,173,212,242,234,220,223,225,229,232,233,235,229,195,194,204,209,209,201,197,201,193,145,119,149,157,152,145,147,182,234,240,237,222,225,228,232,235,236,242,216,187,184,184,189,195,202,200,200,193,129,200,233,223,215,219,228,246,245,241,240,223,227,231,234,237,238,246,211,208,190,171,174,182,187,181,176,175,134,213,255,251,254,254,252,247,248,244,242,226,230,233,237,241,241,239,242,237,190,159,169,175,186,195,187,176,143,164,255,248,249,250,251,250,248,248,247,229,233,236,239,242,244,237,245,250,215,183,151,152,167,173,160,155,122,169,255,249,253,252,253,252,251,250,248,230,234,239,241,243,246,242,232,244,252,201,161,158,168,170,152,140,111,208,255,255,255,255,255,255,253,250,250,232,236,240,244,247,247,239,245,246,232,185,172,167,164,154,133,121,107,232,255,255,255,255,255,255,255,254,255,235,238,243,247,249,247,242,252,247,220,188,168,172,146,108,81,96,130,255,255,255,255,255,255,255,255,255,255,237,241,245,248,251,249,244,252,241,209,172,175,201,129,77,67,89,186,255,255,255,255,255,255,255,255,255,255,239,243,248,250,254,253,241,249,238,202,169,193,184,109,69,77,149,255,255,255,255,255,255,255,255,255,255,255,241,245,250,253,255,255,240,241,232,193,174,205,167,114,90,74,213,255,255,255,255,255,255,255,255,255,255,255,243,246,250,254,255,255,234,228,221,193,203,212,160,110,100,93,241,255,255,255,255,255,255,255,255,255,255,255,244,248,251,254,255,255,232,223,223,210,216,199,145,107,95,131,255,255,255,255,255,255,255,255,255,255,255,255,245,249,252,255,255,255,224,225,226,213,205,175,130,107,93,194,255,255,255,255,255,255,255,255,255,255,255,255,248,250,253,255,255,255,221,230,217,193,183,150,121,106,121,255,255,255,255,255,255,255,255,255,255,255,255,255,249,252,254,255,255,255,221,230,215,186,162,125,119,103,188,255,255,255,255,255,255,255,255,255,255,255,255,255,251,254,255,255,255,255,225,251,225,186,148,114,111,89,222,255,255,255,255,255,255,255,255,255,255,255,255,255,250,253,255,255,255,247,231,250,210,171,135,114,96,119,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,250,255,255,255,234,236,233,178,152,131,121,82,175,255,255,255,255,255,255,255,255,255,255,255,255,255,255
15,111,123,130,132,137,144,151,157,162,166,170,173,177,180,184,188,190,193,195,196,197,199,199,200,201,202,202,201,113,124,132,135,138,147,154,160,164,169,172,175,179,182,186,189,191,194,196,198,200,200,200,202,202,203,203,202,114,126,133,136,139,148,155,161,166,170,172,176,180,184,187,190,194,196,198,200,200,201,202,203,203,205,204,204,115,126,135,136,141,149,156,161,166,171,174,178,182,184,187,192,195,197,199,201,201,203,203,204,205,207,206,206,116,127,135,137,143,151,158,164,169,174,176,180,183,186,189,193,195,199,201,201,203,204,205,206,207,207,208,208,119,130,137,139,144,152,158,165,171,175,177,181,184,188,192,195,198,200,202,202,204,206,206,207,208,208,208,209,121,131,138,139,146,154,161,167,172,176,179,183,189,193,195,198,201,202,205,207,210,211,208,208,209,208,209,210,122,133,139,140,147,156,162,167,171,174,172,164,157,162,169,176,181,180,172,164,166,185,203,211,213,213,214,212,123,133,139,144,148,155,154,151,151,153,146,138,134,131,133,134,143,152,144,139,124,112,122,139,162,183,202,212,124,135,144,153,149,152,145,128,127,122,111,121,136,137,132,123,139,161,155,153,138,123,116,103,91,92,105,130,127,137,142,127,110,106,91,72,77,75,72,78,92,91,86,86,126,139,140,137,127,125,131,120,105,93,87,92,128,138,142,141,133,118,112,124,143,157,165,161,154,143,129,105,119,121,126,108,112,119,145,130,115,100,93,101,129,137,141,146,155,162,168,175,179,182,187,191,194,201,188,149,137,118,104,90,110,132,158,140,128,113,106,114,129,137,141,146,153,161,167,173,177,181,185,189,193,190,164,164,133,73,77,54,122,167,165,142,139,127,119,119,129,137,140,145,153,161,166,172,176,180,183,188,191,177,162,140,121,47,47,34,142,181,167,141,139,129,120,113,130,137,140,145,153,160,167,172,176,180,185,189,184,176,171,124,73,38,46,25,139,186,163,137,122,114,107,96,131,138,141,146,154,161,169,172,176,180,184,189,187,159,175,149,70,41,48,36,141,173,158,127,102,94,82,79,131,139,143,147,155,163,168,172,177,181,185,189,195,183,171,169,118,65,100,147,155,152,149,111,85,77,69,75,130,139,142,147,155,162,168,173,178,181,186,190,193,199,181,171,155,144,147,141,135,122,100,76,67,61,66,70,131,138,141,147,156,163,169,172,178,183,186,190,194,198,182,158,160,142,106,107,91,73,76,123,121,122,141,165,130,137,140,147,156,162,169,175,180,185,189,192,195,176,140,126,131,115,84,71,57,43,50,176,225,220,222,221,103,108,112,116,121,125,132,136,139,145,151,155,172,159,128,104,85,83,65,48,47,40,51,104,219,212,216,218,90,91,91,94,97,95,94,94,96,96,98,97,123,138,94,69,59,76,89,69,67,91,83,96,128,130,135,140,96,97,98,101,102,103,102,102,105,107,108,108,110,107,80,86,99,108,109,108,107,109,109,106,105,106,105,105,96,96,98,100,101,101,102,103,104,106,106,108,107,105,110,116,114,111,109,110,110,110,110,110,111,111,112,112,96,99,100,101,102,102,103,104,103,104,104,105,107,107,109,111,112,114,111,110,109,109,111,113,112,113,114,115,97,98,101,103,103,104,104,105,105,106,105,107,108,108,108,108,108,111,111,109,109,110,111,112,112,113,114,115,96,97,100,102,103,104,104,105,106,107,106,108,108,109,110,108,108,109,110,111,110,110,111,112,111,111,114,113
12,170,170,170,170,170,171,171,170,170,167,166,167,166,165,165,164,163,163,162,160,159,157,156,156,156,155,153,152,173,173,172,172,172,172,173,172,172,170,169,169,168,167,167,166,165,164,164,163,163,161,159,158,157,157,156,154,175,175,174,174,175,175,175,175,175,173,172,172,170,170,169,168,168,167,167,165,165,163,163,161,159,158,157,157,178,178,177,177,178,178,177,178,178,177,175,175,173,172,170,170,170,170,168,169,167,165,165,163,162,160,159,159,180,179,179,179,179,180,179,180,179,179,177,178,175,163,138,145,172,171,160,150,156,168,167,165,165,164,162,161,183,182,180,181,183,182,182,181,181,180,180,179,179,166,140,104,148,163,150,123,99,150,170,168,168,166,165,164,185,185,183,184,185,185,184,182,183,182,182,181,188,181,152,122,101,135,160,130,96,101,165,159,165,168,167,166,186,186,185,185,185,186,186,185,185,185,184,186,189,192,168,138,99,93,165,141,105,78,103,118,112,153,169,168,187,187,187,187,187,187,188,188,187,186,185,187,174,184,174,139,111,74,155,144,116,71,66,106,92,99,171,171,189,189,189,188,188,188,189,189,187,177,168,179,172,173,168,133,99,60,144,142,116,68,57,98,81,61,166,172,190,189,190,189,189,190,190,188,185,160,133,135,158,156,161,124,88,63,152,136,108,62,56,92,76,56,164,174,192,191,191,191,193,193,191,184,186,168,148,126,133,114,161,133,98,74,158,130,101,59,69,99,82,72,174,176,193,192,194,193,195,195,191,187,185,181,167,151,113,84,162,160,114,85,156,132,95,64,101,110,77,108,178,178,195,195,195,195,196,194,194,182,162,174,177,160,128,93,156,155,111,93,171,149,101,90,125,106,67,147,179,179,197,197,197,196,197,193,197,179,135,139,170,163,131,88,110,128,92,105,176,145,96,120,145,112,73,170,181,180,198,198,199,199,198,196,200,194,159,102,121,150,114,75,55,66,50,75,147,128,89,148,156,112,109,181,182,182,199,199,201,201,199,198,190,174,142,102,76,134,99,74,56,60,50,75,103,85,88,179,153,100,113,185,184,184,200,200,201,202,200,195,197,185,162,127,85,107,106,92,74,78,81,130,156,140,136,145,116,73,72,186,185,185,202,201,202,202,201,193,202,195,170,130,94,93,118,109,87,91,143,167,171,153,156,134,76,57,75,186,187,185,203,203,203,203,202,192,202,201,177,141,119,102,112,117,110,152,189,189,181,151,147,133,88,59,114,190,187,187,203,203,203,204,203,193,200,202,181,154,129,114,116,137,172,194,203,196,180,147,135,121,82,57,162,190,188,186,205,204,205,205,205,194,194,197,181,158,132,119,123,154,195,202,200,189,167,139,122,104,75,71,187,191,190,187,206,207,207,206,207,195,188,191,182,159,133,127,125,168,201,200,194,178,154,133,113,92,64,114,193,193,191,190,208,208,208,207,208,196,187,190,181,158,136,133,127,180,199,198,186,163,144,128,104,80,65,175,195,194,192,191,209,209,208,208,209,200,187,188,185,167,143,133,129,183,192,192,177,154,134,116,94,65,105,195,196,195,194,193,209,209,209,209,210,206,188,188,185,175,150,130,127,176,184,180,163,142,120,101,80,58,164,197,198,196,195,194,210,210,209,209,210,209,188,187,184,170,145,130,126,161,173,164,147,124,105,84,62,91,195,199,200,198,196,195,210,209,210,211,211,209,189,186,180,164,140,130,127,150,162,153,135,113,89,71,55,166,200,200,200,198,197,197
5,138,141,145,148,152,155,157,159,160,162,163,164,164,165,164,164,164,164,164,163,163,162,161,160,159,158,158,157,139,143,147,150,154,156,159,161,162,164,165,166,166,166,166,166,165,165,162,164,164,165,163,162,161,160,159,158,141,145,150,153,157,158,161,163,164,165,167,167,166,168,169,168,168,171,121,153,166,166,165,164,164,163,160,159,143,148,152,155,157,159,162,165,166,167,171,159,128,171,170,170,176,159,104,149,169,169,167,166,166,165,163,161,145,150,154,157,160,161,164,167,169,170,179,147,107,171,173,174,181,125,113,169,171,171,170,169,167,166,165,164,146,151,155,158,162,164,166,169,171,170,192,125,121,176,175,182,156,98,149,174,173,172,171,171,170,169,167,167,148,152,156,160,163,171,143,163,173,177,192,102,146,178,179,176,127,114,174,177,174,174,174,173,173,171,170,170,150,154,158,162,165,177,133,133,175,188,176,97,165,179,178,149,105,156,180,179,178,177,177,176,175,174,173,173,151,156,159,163,167,177,154,111,176,191,145,103,176,175,167,111,121,180,182,181,180,179,179,179,177,177,175,175,153,157,161,165,168,174,170,107,170,177,117,113,180,165,155,99,154,184,184,183,182,182,181,180,180,180,179,178,154,159,163,167,171,173,186,132,146,171,123,113,171,156,139,103,172,186,185,185,184,185,183,181,181,180,180,180,156,160,165,169,172,174,189,158,118,169,125,107,139,141,118,113,185,187,183,173,177,184,185,184,182,182,182,182,157,161,166,169,173,177,186,182,139,128,121,109,117,130,106,126,186,179,176,178,170,165,166,184,185,184,183,183,158,163,168,172,176,179,180,187,171,134,117,118,113,117,100,121,156,169,161,162,173,174,141,164,186,186,185,184,160,165,169,173,176,179,182,183,194,173,135,117,103,102,96,116,128,134,125,115,145,156,157,131,165,187,187,186,160,164,168,173,177,180,184,185,206,204,152,115,100,95,93,108,114,104,129,170,190,186,166,159,133,186,188,188,162,166,171,175,179,181,185,186,198,218,165,116,97,94,93,102,105,123,189,194,193,184,170,139,153,191,190,190,162,167,172,176,179,181,185,188,189,220,165,119,98,93,90,101,96,146,196,195,194,171,152,114,174,192,192,193,163,168,173,177,181,183,187,188,185,209,161,121,101,90,89,104,109,122,167,194,186,165,131,107,178,193,193,193,165,169,173,178,181,184,187,189,183,212,163,124,106,92,90,103,113,128,134,137,164,161,121,127,190,195,195,194,164,169,174,179,181,184,188,190,186,209,162,133,114,95,89,105,120,135,142,125,151,147,121,164,195,197,196,195,165,171,175,179,182,186,189,190,187,202,165,140,116,98,89,112,133,141,144,126,123,134,133,192,196,197,196,196,166,171,176,180,184,187,190,191,187,200,166,141,117,101,91,115,134,139,135,119,112,122,165,199,198,197,196,196,167,172,177,181,185,187,190,191,190,196,163,138,119,105,98,111,127,128,125,114,122,165,197,200,200,199,198,198,168,173,178,182,185,188,190,191,201,197,160,135,122,107,103,112,124,123,117,122,180,200,201,200,200,200,200,199,169,174,178,182,186,187,191,188,209,204,169,140,119,108,104,111,116,114,121,165,201,201,201,200,200,200,200,199,168,174,179,182,186,187,192,189,208,197,165,129,108,108,109,111,114,128,176,200,202,203,202,202,201,201,200,199,170,174,178,182,186,188,193,193,206,196,168,129,107,108,108,109,127,186,205,203,203,203,203,202,201,201,201,200
16,119,120,124,129,139,149,155,161,166,169,170,173,177,182,185,190,192,193,194,197,199,199,201,203,204,204,206,207,119,121,125,130,140,149,157,163,168,170,171,173,179,183,185,188,191,194,196,198,199,200,202,203,205,205,205,207,119,122,126,130,141,150,158,164,169,170,172,175,179,183,186,190,192,195,197,199,199,201,203,205,206,206,207,208,120,123,126,130,142,151,158,164,169,171,174,177,180,183,188,190,192,195,196,199,201,203,205,206,206,207,208,208,120,124,126,131,144,154,161,166,171,173,176,177,184,188,189,193,198,197,198,201,203,204,207,207,207,209,209,209,120,124,127,134,146,156,164,166,170,174,174,173,175,169,158,151,163,199,201,200,205,207,208,207,210,211,211,211,122,125,128,136,147,156,159,167,178,173,160,147,136,124,117,120,113,132,197,208,205,208,210,211,212,212,213,213,123,126,128,137,146,154,172,189,181,158,129,126,124,113,106,115,124,103,122,201,211,207,212,214,214,214,215,215,123,127,131,133,146,181,196,169,144,124,106,118,120,109,104,114,119,109,109,125,214,210,214,215,214,215,216,216,124,128,120,153,183,176,140,127,121,109,105,122,120,107,110,117,116,109,127,95,155,223,212,215,215,217,218,217,122,122,162,195,157,127,108,112,112,95,116,128,117,108,118,119,108,118,125,112,101,207,216,215,218,220,220,220,117,202,215,152,121,109,99,98,126,155,123,108,87,110,126,115,91,122,122,112,91,147,230,217,220,221,221,221,144,240,172,136,111,94,116,154,220,220,139,86,89,91,117,100,82,133,119,107,104,88,182,228,219,221,222,222,127,188,146,116,114,166,230,226,232,208,157,103,96,92,82,63,92,140,115,118,119,110,104,192,227,221,223,224,122,131,133,124,212,232,229,218,231,200,159,119,102,95,54,39,101,138,114,127,129,129,113,118,226,224,225,225,127,128,130,153,235,212,230,223,227,186,145,122,117,107,98,48,83,130,113,124,134,122,113,92,190,233,224,226,126,131,124,172,244,214,236,225,209,160,117,121,125,117,111,89,63,111,121,165,150,114,103,86,147,239,224,227,128,130,122,201,247,211,235,222,186,138,125,131,134,129,113,103,66,78,172,205,200,180,145,83,147,241,225,228,129,132,123,210,245,207,210,200,142,114,117,138,133,120,115,106,97,82,196,222,222,222,218,170,180,235,228,230,127,130,126,185,252,206,154,144,106,103,112,118,114,106,102,99,115,97,189,230,224,227,231,217,166,188,237,230,127,129,133,154,218,152,118,111,111,120,125,116,99,95,100,93,99,86,158,241,218,224,224,200,156,135,236,231,128,128,136,147,169,126,109,127,121,108,100,97,89,86,89,85,100,118,125,191,211,211,210,185,133,164,239,232,129,130,137,150,160,161,116,113,97,116,119,126,120,97,86,107,119,126,116,100,125,176,187,166,179,232,236,234,129,129,138,150,167,155,104,104,94,100,175,143,117,108,93,80,80,71,69,69,43,128,239,227,240,237,235,235,128,130,138,150,166,134,106,100,103,86,65,90,68,55,46,41,42,43,43,46,31,100,248,233,234,235,236,237,128,131,138,154,156,118,105,97,93,106,58,33,58,55,47,40,40,41,42,44,32,187,245,231,235,236,237,239,127,130,138,155,139,109,102,94,91,94,89,30,48,57,48,41,40,41,43,35,62,233,234,235,237,238,239,239,127,130,138,152,118,103,100,93,88,92,98,39,34,52,47,42,40,40,44,26,116,253,232,236,238,240,240,240
6,138,140,143,144,147,149,151,153,155,158,158,159,161,160,161,164,164,164,163,163,163,164,165,166,166,166,165,165,140,142,143,144,146,150,152,154,156,157,158,159,161,160,163,164,164,164,165,164,164,165,165,165,166,166,166,165,141,141,143,145,148,150,152,154,156,156,158,159,162,162,162,163,164,163,164,165,163,165,165,165,166,167,167,165,141,142,144,147,150,151,153,156,157,158,159,161,163,164,164,163,163,164,165,164,163,163,164,164,166,168,167,165,143,144,146,149,151,153,154,157,158,159,161,163,164,163,159,150,137,139,148,143,141,137,124,148,155,151,167,167,144,145,147,151,152,154,156,158,159,160,162,164,164,163,157,142,119,120,132,134,128,122,113,121,138,120,166,167,144,145,147,151,153,155,157,158,159,161,167,171,167,161,145,125,113,105,103,106,103,103,101,100,105,131,169,169,145,148,149,151,153,156,159,161,161,165,163,156,146,130,110,93,88,96,102,110,122,131,139,145,155,168,169,170,147,149,151,153,154,159,167,156,146,142,141,137,135,128,115,100,108,135,150,169,172,173,174,172,172,172,172,171,149,151,152,154,155,179,173,143,125,123,127,131,136,137,133,127,121,117,106,163,174,175,175,174,174,174,173,173,149,151,152,155,156,190,165,140,136,128,123,118,119,123,122,117,110,104,85,150,176,176,176,176,176,175,175,175,150,151,155,158,158,191,163,155,158,139,125,126,124,130,132,125,111,99,93,160,178,178,177,177,177,177,177,176,151,151,155,158,162,192,180,186,172,142,123,121,120,123,124,122,116,110,100,130,178,180,179,178,179,179,178,177,151,152,156,158,169,193,191,186,173,157,145,126,110,98,106,109,105,99,92,82,146,180,180,180,180,180,180,179,153,154,157,158,177,192,190,184,183,177,162,136,119,115,123,119,105,93,89,69,104,183,182,181,180,181,181,180,153,155,158,158,185,194,193,190,190,177,164,145,127,119,122,118,109,100,99,80,126,182,182,181,181,183,183,182,153,155,157,159,191,195,192,191,189,177,163,141,127,124,120,118,113,106,98,117,175,182,183,182,182,183,183,182,154,156,158,162,195,192,191,189,187,171,149,138,129,124,114,106,110,105,95,162,182,183,183,182,182,184,184,182,156,157,159,165,197,191,190,187,179,152,141,139,129,110,97,67,87,97,105,179,183,183,184,185,185,185,185,183,156,158,159,171,192,188,188,183,167,139,134,137,125,91,63,53,75,94,145,183,183,184,185,186,186,185,185,183,157,158,158,177,187,184,184,174,150,132,138,134,113,94,66,72,108,144,181,185,186,186,186,186,186,185,186,184,158,159,159,183,184,178,177,163,145,133,143,131,110,91,75,96,180,184,185,186,187,187,187,187,186,186,187,185,158,161,159,184,180,179,171,155,141,144,148,127,108,89,79,124,188,187,187,187,188,188,188,187,187,187,187,186,158,160,156,179,179,171,158,152,140,148,142,119,103,87,87,165,188,188,188,189,189,188,188,188,188,189,187,186,159,161,156,174,173,166,155,142,139,148,131,112,97,87,128,186,188,189,189,189,189,189,189,189,189,187,186,186,159,161,153,178,178,163,154,136,141,142,124,108,91,108,180,189,189,191,190,190,190,190,190,189,189,188,188,187,158,158,155,179,173,160,150,137,141,133,115,101,87,154,189,191,192,192,192,190,190,191,191,189,189,189,189,188,159,155,159,174,165,147,139,137,133,124,106,94,88,172,189,191,192,192,193,192,192,193,191,191,189,189,189,189
2,122,125,130,134,137,139,140,144,146,147,149,151,153,154,155,158,152,158,161,163,162,163,166,166,166,166,167,167,123,127,131,135,137,139,142,144,146,148,150,152,154,155,157,152,111,136,151,156,130,147,166,166,167,168,168,168,124,126,132,135,138,140,143,145,147,149,150,152,153,157,155,124,89,97,136,136,102,116,149,165,167,168,168,168,124,128,133,136,139,140,144,146,149,151,151,156,161,154,123,92,74,86,107,111,102,106,97,156,168,168,168,168,127,129,133,137,140,142,145,148,151,153,156,171,165,130,84,73,75,85,85,103,107,104,80,122,168,170,168,169,127,130,134,138,141,144,146,149,152,153,168,171,141,98,64,61,71,86,85,100,104,100,96,151,171,171,171,171,129,131,136,139,142,145,147,150,152,161,176,140,98,68,57,49,70,96,108,99,116,132,155,171,173,174,173,173,128,132,136,140,143,146,148,150,151,175,160,108,72,64,65,64,86,96,103,144,169,171,173,173,174,174,174,174,129,133,136,140,144,147,149,149,167,171,133,92,65,64,65,76,78,110,154,170,172,172,173,174,175,175,174,174,129,132,137,141,144,148,149,156,177,149,106,67,60,60,71,85,101,167,171,172,173,173,174,176,176,176,176,175,130,134,138,142,146,149,151,178,169,129,91,69,68,62,74,82,137,170,172,173,173,175,176,176,176,177,177,177,132,136,139,143,148,149,172,191,165,122,90,76,74,69,73,103,165,171,172,174,174,175,177,177,176,177,179,179,133,136,141,144,147,149,195,183,149,112,83,74,72,75,81,153,171,172,174,175,175,176,177,180,179,180,181,180,133,137,141,145,149,163,202,176,138,102,78,71,69,77,105,170,173,174,174,175,175,177,179,179,179,181,181,180,134,138,141,145,148,188,195,165,129,93,74,72,72,77,138,171,173,175,175,175,177,180,180,180,180,178,179,180,134,139,143,146,158,203,187,155,123,89,72,71,72,69,151,173,174,175,175,177,179,180,179,168,152,141,156,182,134,139,144,146,186,200,178,145,113,83,70,73,72,72,114,170,174,175,176,179,180,173,155,146,138,121,126,182,135,140,144,154,203,191,165,139,108,81,68,71,74,82,86,128,168,175,177,176,162,152,150,138,122,138,174,182,135,140,142,180,200,182,158,130,102,78,67,71,79,90,99,97,109,141,150,145,139,142,144,116,148,180,183,183,135,139,147,201,193,178,150,121,99,78,65,76,88,102,112,110,104,125,136,149,150,143,127,117,180,182,183,184,135,139,172,200,184,168,142,122,101,80,66,89,107,120,128,122,116,132,141,143,137,127,131,166,184,185,183,184,135,144,197,190,181,165,141,125,102,81,72,103,121,127,133,129,120,127,131,123,140,167,179,182,185,185,184,184,135,169,200,188,179,163,139,122,101,82,79,113,124,126,131,130,108,107,131,166,181,183,184,183,184,185,185,185,140,199,195,183,175,157,132,117,99,82,84,117,125,119,129,117,115,154,177,180,182,183,184,184,185,185,185,185,172,200,186,178,171,144,118,105,91,81,93,112,124,115,120,136,172,180,181,181,182,182,182,184,186,185,185,185,197,189,177,167,159,134,112,98,86,85,97,103,120,111,146,174,177,179,181,182,182,183,183,184,186,186,185,185,188,180,170,158,156,119,103,95,88,92,86,100,134,159,174,177,179,181,181,182,183,183,184,184,185,186,185,185,184,177,164,152,157,112,94,97,93,89,108,152,168,174,177,178,177,179,181,182,183,183,184,185,186,186,185,185
10,64,66,67,70,75,78,83,93,101,107,112,115,117,121,124,127,130,132,133,135,137,137,138,139,140,139,140,142,65,67,69,71,75,78,84,95,103,109,115,117,119,123,125,127,130,131,132,137,137,138,138,140,141,140,141,141,64,67,69,72,76,79,85,97,105,111,116,118,119,124,126,129,129,138,138,120,139,139,140,141,142,142,142,141,64,67,70,73,77,80,87,99,106,113,117,119,122,125,128,132,127,160,150,82,131,144,142,143,144,144,143,143,65,68,70,74,78,80,89,100,108,114,119,120,124,127,130,133,131,150,157,96,103,150,143,145,146,146,146,146,66,70,72,74,78,81,90,101,109,116,120,123,126,129,132,136,136,144,163,109,82,143,148,149,149,149,149,149,66,70,73,75,78,81,92,103,111,118,122,123,127,131,134,137,141,140,163,131,86,126,154,149,151,151,150,150,67,71,73,76,79,82,93,104,112,119,123,124,128,133,136,139,142,142,161,148,96,105,158,151,153,153,153,152,67,71,74,77,80,83,95,106,114,121,125,125,130,133,138,139,156,146,98,130,109,87,154,156,156,156,156,156,69,71,74,77,80,85,97,108,115,122,125,127,132,137,140,140,168,122,75,104,153,88,142,161,158,158,158,158,69,72,75,78,81,86,98,109,117,124,126,128,134,137,143,143,164,115,87,78,168,96,125,166,160,161,161,160,70,72,75,79,81,87,99,110,118,125,127,131,134,144,136,152,182,133,124,83,120,110,105,168,161,163,162,162,70,73,75,79,82,88,101,111,120,127,129,127,148,185,150,168,156,151,144,100,77,107,92,165,163,164,164,165,72,73,76,79,82,89,102,112,121,127,133,139,150,207,176,177,124,115,149,120,78,83,80,151,168,165,166,165,73,74,77,79,82,89,103,113,124,121,175,195,139,147,181,184,141,74,134,147,103,75,64,133,173,165,167,167,73,74,76,80,83,90,104,115,125,123,182,209,156,85,134,188,134,77,87,149,122,88,59,117,175,167,169,169,72,74,77,80,84,92,106,116,126,131,155,135,164,147,97,132,92,57,60,125,131,103,70,104,176,168,170,170,73,74,77,80,84,93,106,116,127,131,164,120,139,161,84,98,110,50,92,133,131,120,85,92,174,170,170,171,73,75,77,81,84,94,107,118,129,128,175,162,114,98,85,115,118,110,167,155,134,127,96,88,168,173,172,172,74,76,78,81,84,95,109,120,130,130,176,158,134,119,108,117,125,183,183,147,137,121,97,93,167,174,172,172,73,76,79,81,84,96,109,121,132,130,194,187,159,127,124,135,203,208,166,134,121,112,98,101,172,174,174,174,74,76,79,81,84,97,109,121,132,130,194,199,163,136,147,165,223,191,159,136,110,102,94,114,179,174,175,176,75,75,79,81,85,97,111,122,134,129,200,205,161,161,155,174,217,181,150,131,110,96,89,133,181,174,175,176,75,76,78,81,85,98,112,123,134,131,192,195,168,175,160,196,201,168,138,119,105,97,89,144,182,175,176,177,75,77,79,81,86,99,112,124,135,131,178,193,188,181,178,204,184,149,127,109,100,97,94,163,180,176,177,178,75,76,80,81,86,99,112,124,135,132,160,206,201,181,165,178,166,135,115,103,100,89,108,179,178,178,179,179,74,77,80,81,86,101,114,125,134,137,143,196,188,170,152,154,151,138,120,109,101,81,130,184,178,179,180,182,74,76,80,81,88,103,115,127,134,139,137,171,170,157,149,152,149,152,132,107,97,77,145,185,178,180,181,183
5,157,158,158,159,160,161,162,162,163,163,163,163,162,163,166,164,164,164,162,162,161,159,158,157,158,156,154,153,160,160,161,162,164,165,165,165,166,166,167,167,168,166,151,165,166,165,165,165,164,163,161,160,159,158,158,157,165,165,165,166,168,168,169,168,170,171,171,172,171,177,117,151,172,170,169,168,166,165,165,164,163,162,161,158,167,168,169,170,171,171,172,172,175,175,171,147,163,188,121,131,178,173,172,171,171,170,169,168,166,166,164,162,171,172,173,174,175,176,175,177,178,176,181,135,133,193,123,114,183,176,176,174,174,172,172,171,170,169,167,165,174,175,177,176,178,180,180,180,181,179,191,147,119,192,118,114,186,180,179,178,176,175,175,174,174,172,170,169,177,176,179,180,181,182,177,181,183,183,196,152,109,191,129,120,189,182,182,183,181,179,177,177,177,175,173,172,180,181,182,184,184,185,154,150,189,185,198,159,108,188,122,127,192,186,186,186,187,183,181,180,180,177,176,175,183,185,185,186,186,191,161,119,190,186,201,161,101,182,111,132,194,188,187,179,157,180,185,183,181,180,180,179,185,187,188,188,189,196,177,100,189,190,198,157,88,184,130,134,195,188,191,181,135,143,193,186,184,184,183,182,187,188,189,190,192,194,178,98,186,193,194,170,92,166,141,135,197,184,174,161,178,147,167,188,188,186,185,183,189,190,191,192,195,195,196,110,170,197,191,180,95,135,146,143,193,189,149,86,163,159,127,189,191,188,186,186,192,192,193,195,195,197,201,142,141,199,192,184,98,122,145,143,186,186,141,136,177,134,149,196,193,190,189,187,194,194,195,195,197,196,192,192,156,167,184,172,123,136,134,123,162,165,137,188,175,111,187,194,193,192,190,189,194,197,197,198,199,200,186,202,185,153,153,150,130,131,126,124,163,159,148,195,152,105,200,196,195,194,193,193,197,199,199,200,200,202,198,199,208,172,144,141,118,123,123,125,159,156,165,201,125,110,205,199,197,196,195,194,198,199,200,202,202,203,203,201,224,192,134,126,109,108,119,130,155,150,169,203,122,133,207,199,198,198,197,195,199,200,201,202,202,203,203,205,226,198,137,103,104,103,116,146,162,141,161,201,129,146,207,200,200,201,199,196,200,201,202,203,204,204,204,205,223,196,144,102,103,104,136,155,178,180,155,190,131,150,208,202,202,201,200,197,201,202,203,205,207,207,206,203,220,192,148,106,98,115,149,168,191,195,162,158,109,145,211,204,202,201,200,200,201,202,204,206,207,207,208,201,219,195,154,107,99,125,164,187,190,189,162,116,78,136,213,206,204,202,201,201,203,205,206,207,208,209,210,202,215,196,155,111,101,124,176,199,195,176,138,89,66,169,211,206,207,205,202,202,204,207,207,208,209,210,211,203,205,195,153,114,108,123,186,202,184,156,118,71,123,213,209,208,208,206,203,202,206,207,207,208,209,211,212,200,192,192,152,125,115,122,182,186,167,139,96,85,201,215,209,208,209,207,204,203,205,206,207,208,209,211,214,202,187,183,146,136,116,122,166,173,157,119,70,151,219,213,211,210,209,208,206,203,204,205,206,208,208,209,211,204,183,175,148,137,111,117,155,159,133,81,100,212,214,213,210,210,209,208,207,205,203,205,207,208,208,210,212,202,189,178,149,135,115,103,138,124,90,81,191,216,212,212,210,210,209,208,207,205,205,207,208,208,208,210,213,198,193,170,132,126,114,97,117,90,68,164,220,213,214,212,211,211,209,208,206,205
13,156,159,164,166,168,169,171,173,174,177,177,177,178,179,179,180,180,180,179,179,178,176,174,174,173,173,171,170,157,160,165,167,169,171,172,175,176,178,179,179,179,180,180,180,180,181,181,181,180,178,177,176,175,175,173,171,157,161,166,169,170,171,173,176,179,179,181,182,182,183,184,186,187,182,182,187,185,179,179,179,177,176,175,174,158,162,167,169,171,173,175,178,180,180,182,184,184,184,180,157,155,189,180,157,160,184,180,181,179,178,177,176,159,163,168,171,172,174,176,178,180,181,183,186,184,187,172,138,104,143,159,126,85,140,191,180,180,179,179,177,160,164,169,172,173,174,178,180,181,183,184,186,184,192,194,156,134,84,130,139,92,83,189,183,182,181,180,178,160,165,170,173,174,176,180,181,183,185,185,186,187,189,201,164,134,79,106,139,101,68,178,188,183,182,181,179,162,166,170,173,174,177,181,183,184,186,187,188,189,188,188,164,123,83,78,114,89,60,172,189,183,183,183,182,162,166,170,174,176,178,181,184,185,187,188,189,185,195,182,163,119,92,69,103,84,60,174,190,185,185,184,182,162,167,172,176,176,179,182,184,187,188,190,179,134,126,128,150,147,111,77,118,100,71,186,189,187,186,184,182,163,168,172,174,176,180,182,185,188,188,200,170,120,99,87,147,179,129,82,108,104,54,160,196,187,187,185,184,163,168,173,175,178,181,183,185,188,184,173,165,133,127,86,90,164,120,75,87,84,61,96,196,188,187,187,186,163,169,174,177,179,182,185,184,188,175,111,114,156,133,112,46,57,51,69,86,80,96,73,148,200,187,187,186,163,168,174,178,179,181,183,189,204,158,118,92,142,143,117,82,25,44,58,84,112,114,93,89,196,190,188,187,163,169,174,178,180,182,183,200,179,150,133,118,103,143,121,105,46,60,103,113,127,119,103,68,177,195,189,188,164,170,175,179,180,182,186,203,156,144,143,121,94,122,125,95,52,61,139,154,145,106,95,70,179,195,189,189,165,170,175,180,181,182,187,200,164,117,118,113,94,77,97,69,52,77,150,152,147,112,76,82,196,192,191,189,165,171,176,180,183,183,188,189,171,141,106,88,62,35,72,87,69,115,170,149,139,110,62,109,206,191,192,189,166,172,176,181,182,184,187,190,188,163,128,99,81,72,84,94,103,175,172,142,125,104,56,143,206,193,193,190,166,172,177,182,182,186,187,188,185,172,146,132,110,108,123,143,167,182,160,135,113,94,59,174,201,193,194,192,166,172,178,181,182,186,187,189,181,165,148,126,106,106,130,183,176,165,146,125,105,79,71,197,198,195,194,192,166,173,178,181,182,185,188,191,169,153,146,127,112,113,121,165,168,157,134,112,98,64,94,209,196,197,194,193,166,172,177,182,184,186,189,195,174,156,147,130,125,119,119,160,166,155,127,99,89,48,140,211,197,197,195,193,166,173,179,182,183,186,188,194,192,157,147,140,128,114,111,144,155,140,110,86,66,64,196,201,199,196,195,193,167,173,179,181,183,185,188,192,197,180,151,139,124,114,106,126,141,127,98,83,47,131,211,197,198,196,195,194,167,173,179,182,183,186,189,192,194,198,170,139,120,109,110,117,133,124,98,79,57,185,204,200,199,198,195,193,166,172,178,181,183,184,188,191,193,193,180,152,135,128,131,126,130,127,93,66,95,206,198,198,198,196,195,193,164,171,176,180,181,183,187,189,193,186,185,161,150,148,140,133,130,118,90,60,132,210,197,197,196,195,194,192
24,156,158,160,162,163,166,167,167,168,169,168,168,168,168,167,166,166,167,166,165,164,163,162,160,160,160,159,158,157,159,162,164,165,167,169,169,169,170,169,170,169,169,168,169,168,167,167,166,166,165,164,163,161,159,158,158,158,160,162,164,167,168,169,170,170,171,171,171,171,171,171,170,170,168,167,167,167,166,165,165,163,160,159,159,160,162,163,167,149,164,171,172,172,173,173,172,172,172,172,171,171,169,168,168,167,167,166,166,165,163,161,161,162,164,167,174,117,154,173,173,173,173,174,174,173,172,172,172,172,171,170,170,169,168,167,167,165,163,163,164,163,165,171,165,107,153,173,174,174,174,175,176,175,173,174,173,173,172,171,171,170,169,168,167,166,164,164,165,163,165,173,161,106,152,175,175,176,176,172,166,174,175,175,175,174,173,172,172,171,170,170,168,167,166,165,165,165,166,175,165,109,153,177,176,176,180,174,137,138,170,177,176,176,174,171,159,146,136,159,170,168,167,166,166,165,167,175,164,115,145,173,173,151,171,183,157,107,116,170,178,176,173,151,119,104,98,136,172,170,168,167,167,166,168,174,168,163,163,166,182,136,141,186,163,103,83,130,179,178,165,122,92,102,136,162,173,171,170,169,169,168,169,175,184,197,181,183,189,148,124,180,154,95,71,94,168,180,149,102,99,159,175,175,174,172,171,171,170,168,171,175,181,205,185,191,193,147,99,138,121,91,67,94,159,163,122,95,145,178,176,175,174,173,172,172,171,170,172,175,186,207,186,197,197,142,87,62,114,142,133,150,159,130,98,116,176,179,177,176,176,174,174,172,172,170,173,176,202,199,171,170,175,121,84,99,175,181,168,156,147,113,95,159,182,180,179,179,177,175,174,173,173,171,173,179,193,179,153,122,117,106,145,193,196,179,159,140,125,105,119,181,182,181,181,180,179,177,175,174,173,172,173,188,192,176,155,128,103,166,210,207,196,173,146,124,109,100,155,186,182,181,181,181,179,178,177,176,174,173,173,197,203,182,158,150,170,217,213,204,189,160,130,111,102,107,176,186,183,182,182,181,181,180,179,178,176,173,175,204,209,190,178,188,216,220,211,198,176,144,115,106,93,134,187,186,185,185,184,182,182,180,179,178,177,174,175,208,211,198,197,214,221,212,203,184,156,125,106,99,107,174,190,187,186,185,185,183,182,181,180,179,178,174,175,208,216,204,208,221,212,193,181,162,135,113,102,102,160,191,189,188,187,186,185,184,183,182,181,181,179,175,177,206,220,206,199,205,197,178,161,143,117,103,96,153,191,191,189,188,188,186,186,185,184,183,182,181,180,176,177,198,212,198,195,203,199,181,161,138,109,86,115,186,193,192,191,189,188,187,187,187,186,184,183,182,181,176,178,188,194,186,196,201,196,180,156,131,98,75,147,193,193,193,192,191,189,188,187,187,187,186,185,184,181,175,179,182,190,196,201,196,189,178,152,124,89,83,171,195,193,193,194,193,191,189,188,188,187,187,185,184,183,174,177,180,198,205,194,192,184,171,148,122,87,92,180,193,192,192,192,191,189,188,188,188,187,186,185,184,183,174,176,179,203,204,185,193,176,164,146,120,91,87,176,193,192,192,192,190,188,189,189,187,186,185,185,183,182,174,177,179,208,205,185,194,172,165,146,117,91,82,167,194,193,193,193,190,189,188,188,187,186,185,185,183,181,174,177,180,209,207,189,195,178,163,144,115,92,79,160,194,194,194,192,191,190,188,188,187,187,186,185,184,182
19,188,189,191,193,194,194,196,197,197,197,197,198,198,197,197,197,197,197,196,196,195,196,195,193,192,192,191,190,189,190,192,193,195,196,196,198,199,200,199,199,200,199,199,198,198,198,197,197,197,197,196,195,194,194,193,193,191,192,194,196,197,197,199,200,201,201,201,201,200,201,201,201,200,199,199,199,198,197,197,197,196,195,193,193,191,193,195,196,198,199,201,200,202,201,202,202,202,202,202,201,202,200,201,200,199,198,198,198,197,197,196,195,192,195,196,197,198,200,201,201,203,204,203,203,203,204,203,202,203,202,201,200,200,200,199,199,198,197,197,195,194,196,197,199,199,201,202,203,205,205,205,206,206,205,204,204,203,203,202,202,202,201,201,200,199,199,198,197,195,197,199,200,201,202,203,205,206,206,206,206,205,204,205,201,208,205,203,203,203,202,201,201,201,200,199,199,196,197,200,202,201,203,205,206,208,208,207,208,212,207,218,190,163,208,204,203,204,203,203,202,201,200,200,200,197,198,200,202,203,206,206,207,207,209,210,189,174,193,221,208,127,176,214,210,208,207,206,205,203,204,202,201,197,199,202,203,206,207,207,207,209,207,199,172,140,143,157,166,152,141,160,169,190,193,197,199,202,198,194,199,198,201,203,205,206,207,209,210,208,198,196,201,196,155,112,133,154,147,145,132,140,155,162,150,169,154,158,196,200,202,203,206,206,208,207,204,191,196,207,209,182,135,110,105,124,134,141,133,136,150,154,151,155,157,153,185,200,202,205,206,208,207,205,197,194,196,199,200,185,150,110,104,103,107,110,106,111,117,124,125,124,128,132,146,201,202,205,207,206,205,204,202,199,191,199,205,205,176,123,102,107,97,115,145,161,162,161,161,168,170,180,194,202,204,206,208,207,205,204,203,201,199,204,207,204,178,127,103,107,96,162,226,216,215,214,215,215,214,212,209,203,204,204,207,205,207,205,205,206,203,201,201,195,183,139,103,104,105,110,207,214,210,209,209,209,209,207,208,200,202,210,210,209,207,207,208,208,201,197,205,203,193,153,106,102,109,92,152,224,210,211,212,211,210,209,209,202,222,224,213,208,209,210,208,202,200,204,209,205,180,145,113,100,111,94,132,224,211,213,213,212,211,211,210,221,228,219,210,206,207,204,201,199,198,193,193,185,161,140,121,107,109,98,180,223,213,213,213,214,213,211,210,227,224,212,207,206,203,201,200,194,192,185,181,176,162,139,124,118,109,89,184,224,215,214,213,213,213,212,211,224,220,213,203,198,199,196,197,195,190,184,178,172,178,143,121,122,110,104,207,220,216,216,215,213,213,213,212,222,218,210,199,189,190,189,189,194,186,179,163,160,173,131,116,126,109,126,228,215,216,216,216,215,214,214,213,218,214,202,188,179,176,179,178,183,174,159,140,141,133,98,115,129,102,161,225,216,216,216,216,215,215,214,213,210,203,187,176,168,155,159,164,167,152,134,132,128,103,111,122,117,168,222,219,218,217,217,217,216,216,214,214,209,185,181,174,154,139,131,139,142,133,123,117,105,102,117,143,188,225,218,219,218,217,218,217,216,216,215,214,182,173,183,171,146,123,118,118,119,110,137,184,175,178,199,218,224,218,218,218,218,218,217,217,216,215,214,213,138,174,179,160,135,106,90,91,130,175,213,227,226,225,223,220,219,219,219,219,219,218,217,216,214,214,214,213,96,131,128,105,87,74,64,62,200,231,219,220,219,220,219,220,220,220,220,219,219,219,218,217,216,215,214,213
2,154,154,155,155,155,155,154,154,154,152,151,151,150,150,149,149,149,145,145,145,144,142,142,139,139,137,136,136,156,156,156,156,156,156,155,155,155,154,154,153,152,151,149,150,150,147,148,147,146,143,142,141,141,138,137,135,156,156,157,157,157,156,157,156,155,155,155,155,154,154,150,152,152,151,150,148,147,145,143,142,141,141,138,135,158,158,158,159,157,158,158,157,156,157,156,155,152,149,150,147,147,151,151,150,150,147,144,143,141,141,140,137,160,160,160,159,159,159,159,158,157,158,156,163,158,144,146,142,126,130,134,137,139,143,146,146,142,141,141,139,161,162,161,161,161,160,160,160,160,157,166,186,179,174,174,173,157,133,110,98,97,127,138,141,144,142,141,140,161,162,161,161,161,160,162,161,161,152,155,167,161,154,157,163,159,155,134,101,104,129,104,113,150,142,142,141,162,163,163,163,162,162,163,159,164,175,165,168,172,160,145,134,114,123,140,135,149,115,80,128,149,143,143,142,163,164,165,164,164,164,162,165,186,177,168,167,170,167,158,152,125,129,133,114,119,94,111,153,146,146,145,142,164,165,165,165,165,164,162,184,174,136,123,135,146,136,135,164,133,122,134,86,104,122,147,151,147,146,146,144,165,165,166,166,165,165,180,182,146,148,161,164,164,149,147,155,107,87,103,115,155,155,153,154,152,148,146,146,166,165,167,167,166,168,188,165,164,182,184,162,139,128,113,108,120,148,150,157,156,158,149,131,123,140,150,146,166,166,167,167,166,174,177,176,175,161,139,119,91,79,59,100,169,160,162,157,159,130,89,75,74,84,140,149,167,167,168,167,167,175,180,185,156,118,92,72,66,62,52,63,161,160,157,163,123,71,77,85,89,69,125,152,167,167,168,166,164,181,191,167,130,94,70,60,60,57,59,47,97,171,167,142,74,81,91,96,89,95,144,149,167,167,169,165,162,196,186,141,100,80,67,57,59,60,60,59,53,101,149,101,71,96,96,86,108,143,150,148,168,168,170,164,170,200,166,120,90,83,63,56,61,59,60,62,65,50,56,79,82,93,85,107,154,152,149,148,169,169,170,162,171,185,145,108,90,75,56,60,62,67,68,71,75,72,56,81,87,83,87,145,156,152,151,149,168,168,169,162,168,177,140,106,84,69,57,61,68,74,77,81,84,87,72,82,89,81,112,160,154,154,152,150,166,166,169,157,170,178,140,107,83,73,58,62,71,82,86,90,94,97,85,78,91,80,137,160,154,154,152,149,167,167,171,150,171,173,136,110,90,79,65,62,75,88,97,100,103,101,92,80,84,120,156,155,154,152,147,148,168,168,173,152,170,166,134,110,91,84,74,64,79,94,99,101,105,99,88,86,130,158,156,155,152,152,168,183,167,168,172,152,165,164,137,113,96,90,80,66,79,94,98,99,99,96,81,118,164,156,157,155,170,174,201,202,167,168,172,152,163,160,132,112,102,93,81,69,82,89,92,92,91,82,101,153,159,158,153,192,219,190,179,205,170,171,174,157,160,158,128,113,99,91,83,74,85,84,86,87,82,103,153,164,164,154,182,216,204,215,182,180,144,144,149,137,158,156,129,112,96,90,85,81,85,84,82,85,105,142,149,148,139,177,211,212,201,194,210,169,82,83,81,94,170,151,125,104,94,91,89,84,78,84,87,76,79,78,81,69,135,217,209,212,197,182,201,198,83,86,79,121,170,146,124,100,93,91,89,85,78,84,83,76,75,78,68,112,217,209,209,214,190,173,195,197
18,145,146,148,150,153,157,161,165,167,170,174,174,176,179,179,181,183,183,184,185,185,186,187,187,186,186,186,185,145,147,149,151,154,158,162,165,169,172,174,175,177,179,180,182,184,184,186,187,188,188,189,187,187,187,186,187,145,149,151,151,154,160,165,167,171,173,175,177,179,181,182,184,185,185,187,187,189,188,188,191,189,189,187,187,145,149,151,152,155,160,165,170,172,174,176,178,180,182,183,185,186,186,186,188,188,190,188,147,190,188,189,189,147,150,152,154,157,159,165,170,173,174,177,179,181,184,185,186,186,186,188,190,186,206,192,107,132,204,194,188,149,151,152,154,158,162,167,171,174,176,179,181,182,185,186,186,186,188,190,197,178,199,197,133,100,142,177,195,150,152,154,155,160,165,168,172,175,177,180,182,183,186,189,186,192,169,141,167,174,169,211,176,140,101,96,142,150,153,154,156,160,165,169,172,175,177,179,181,184,185,169,191,205,161,145,96,151,170,210,189,149,139,136,99,150,153,155,156,160,165,169,172,178,179,181,178,192,194,148,119,187,174,157,104,127,169,180,185,168,152,137,117,152,153,156,158,161,165,170,174,178,181,181,184,209,196,175,107,156,194,151,115,90,160,132,128,168,164,137,124,152,154,157,160,163,167,171,176,179,182,179,212,224,201,180,129,124,194,153,121,73,123,115,77,195,188,152,130,153,157,157,160,165,169,172,177,181,182,186,212,222,209,179,140,99,181,146,110,63,73,92,77,184,202,163,128,153,157,157,160,165,169,173,177,182,177,198,227,210,190,182,136,86,138,120,94,68,50,61,50,175,197,171,129,154,157,158,161,166,170,174,179,182,182,220,218,201,164,142,108,80,109,101,92,50,45,114,104,191,204,161,129,155,158,159,161,167,171,175,180,177,200,229,191,181,159,94,86,80,104,114,82,79,175,200,162,159,183,143,122,157,159,160,163,168,173,177,181,179,196,242,216,173,133,105,107,77,133,146,131,201,207,188,169,121,157,130,118,158,159,160,163,169,174,178,182,182,194,240,222,189,134,127,125,78,141,174,210,213,187,163,170,126,129,135,114,157,160,161,165,169,175,180,184,181,203,241,223,198,169,151,152,123,137,225,217,193,172,154,162,155,114,130,101,158,161,161,165,170,175,179,185,182,210,240,218,180,169,145,131,153,224,221,198,181,171,165,161,159,120,110,91,159,161,162,166,171,176,180,185,182,216,238,209,182,170,146,143,194,230,213,190,183,181,155,157,150,115,91,72,160,162,163,167,173,178,181,184,182,219,232,208,183,187,150,184,200,214,204,180,183,166,138,156,138,103,82,52,161,163,164,168,173,177,181,186,184,219,228,212,202,190,157,172,194,190,190,170,170,149,142,153,117,93,59,105,161,163,165,168,173,178,182,186,186,215,224,208,209,179,153,146,177,174,175,167,159,144,142,120,95,73,70,197,160,162,164,169,174,180,183,187,186,215,225,214,206,167,129,154,164,172,175,164,155,136,118,88,80,51,160,218,161,163,165,170,174,179,183,188,188,209,220,214,181,140,132,162,162,175,176,164,142,127,102,88,58,105,220,206,163,163,164,169,174,180,182,188,188,212,207,196,181,171,169,165,161,180,171,151,124,113,97,71,61,196,214,207,163,163,165,169,175,183,190,187,192,227,221,214,211,199,182,163,153,175,162,138,114,99,83,59,171,219,208,211,163,164,167,171,180,161,149,181,201,229,220,220,209,193,170,162,151,165,153,130,109,93,61,134,227,208,212,212
2,178,179,180,180,179,180,180,180,179,179,178,173,180,175,176,176,174,174,173,170,170,169,167,165,164,164,160,159,182,182,182,182,182,182,182,181,181,181,176,192,197,126,150,183,178,178,176,174,174,173,171,169,168,166,164,162,185,185,186,187,186,186,184,185,182,180,211,205,140,91,94,160,169,124,171,181,176,175,175,173,172,169,166,166,187,188,187,188,189,188,188,185,190,221,214,129,93,83,94,126,132,84,143,181,176,176,175,175,173,173,169,168,188,190,188,189,190,189,187,200,242,224,156,96,90,82,72,84,87,82,76,143,189,177,180,176,175,174,173,171,190,191,190,191,190,192,185,231,232,153,104,81,83,87,80,56,77,92,79,80,141,190,180,179,176,175,173,172,191,192,192,194,195,189,204,244,184,101,75,59,63,73,74,75,77,79,77,64,137,190,179,181,179,177,176,175,194,195,194,197,196,193,238,222,145,99,81,70,55,77,100,106,81,97,111,148,187,183,183,182,181,181,179,176,197,197,197,198,192,222,237,168,108,82,86,83,73,93,89,94,153,184,191,193,188,187,184,184,183,182,180,179,198,198,200,195,212,244,219,145,97,71,82,79,89,81,115,182,199,195,192,191,191,189,188,186,185,185,182,180,199,200,199,200,240,242,199,139,106,94,77,81,93,127,210,199,196,197,196,196,193,191,190,188,188,185,183,182,202,203,198,214,244,229,173,126,104,104,89,85,88,159,210,197,199,198,199,196,195,194,191,191,190,188,186,185,204,206,200,234,244,218,156,113,101,101,98,84,105,201,204,202,198,199,198,198,197,196,193,192,191,190,188,187,207,203,215,244,240,199,144,112,98,97,98,88,160,215,203,204,202,200,200,200,198,197,196,195,193,191,190,190,208,204,236,244,231,176,127,107,102,94,94,97,198,209,206,206,204,203,201,200,199,199,196,196,196,193,191,191,206,218,244,243,214,160,117,104,101,102,88,124,219,205,208,207,206,206,204,203,201,200,201,200,196,195,193,191,206,236,244,239,195,140,107,102,99,100,70,153,224,207,210,209,208,206,205,205,205,201,196,189,197,199,195,194,220,244,244,225,169,122,107,97,90,85,70,109,216,216,208,210,208,208,208,207,193,172,166,154,127,192,198,197,239,244,240,200,154,125,111,92,79,79,86,78,121,207,220,214,214,213,210,180,172,166,146,110,126,196,201,198,241,243,229,186,157,132,110,82,73,87,85,96,99,111,163,196,184,174,176,166,179,146,118,166,205,203,200,198,244,244,233,187,153,127,102,80,82,101,106,122,132,117,110,142,151,166,174,178,165,115,184,216,204,203,203,201,175,186,196,174,148,119,97,86,94,112,129,133,143,142,132,160,164,169,164,142,110,151,217,206,206,205,204,203,54,54,45,46,64,60,62,76,102,120,131,138,145,148,134,152,138,130,138,155,179,211,211,210,209,207,204,203,63,51,28,23,33,27,17,23,59,116,129,135,142,134,108,115,151,189,209,221,220,212,212,211,210,208,207,205,57,44,27,30,37,27,19,13,8,46,123,129,117,114,154,199,223,224,219,216,217,217,215,213,212,211,209,207,50,40,30,31,30,22,15,10,13,6,59,116,147,206,229,226,220,219,219,219,216,216,215,213,212,212,210,209,44,40,30,32,28,19,12,9,15,3,49,210,228,225,220,221,223,224,221,220,220,217,217,215,214,213,211,209,45,37,29,30,26,18,11,9,17,0,160,243,218,223,223,223,224,223,221,222,221,219,219,220,216,214,213,211
0,168,169,171,170,171,173,174,173,174,173,172,171,171,173,172,173,174,171,173,173,172,173,174,173,171,172,172,171,170,172,173,172,172,174,175,174,175,173,173,174,174,174,172,172,174,178,174,176,176,175,174,174,173,175,174,174,173,173,174,175,174,174,175,175,175,175,174,174,176,175,187,172,128,141,182,168,170,181,179,178,176,173,175,175,173,174,174,176,179,177,175,177,176,175,179,179,144,133,191,166,127,97,100,121,108,152,174,125,161,180,175,175,174,175,175,176,178,177,177,178,179,180,207,191,146,105,149,174,141,126,46,100,110,86,145,94,136,188,175,177,174,176,177,176,177,179,177,185,162,146,207,188,157,123,142,197,146,134,64,124,126,89,112,102,127,191,178,180,175,176,178,178,178,178,182,214,163,109,156,206,164,132,126,211,163,140,71,141,130,81,79,104,99,195,177,180,177,178,178,179,181,175,198,208,171,140,130,212,175,132,111,210,168,137,66,144,127,67,63,119,55,173,185,180,178,179,179,180,177,196,192,190,185,155,107,189,184,126,91,202,170,122,47,105,111,57,51,127,46,108,195,179,179,179,180,179,181,200,159,180,197,162,98,158,191,124,69,163,159,105,40,74,95,48,54,132,59,80,194,182,180,180,183,178,193,193,145,157,192,159,97,122,180,117,56,120,142,95,48,58,82,34,70,143,75,84,195,184,180,182,182,180,193,186,152,141,168,138,87,89,156,108,51,79,134,91,44,58,85,44,124,159,88,87,197,186,177,179,178,184,195,173,140,107,148,133,82,65,143,106,41,52,132,89,34,79,94,66,161,154,90,96,197,184,177,178,179,179,208,192,152,97,112,136,70,53,135,111,40,45,139,88,98,162,129,86,149,160,90,106,196,183,179,181,180,181,206,194,157,113,68,108,99,49,137,131,52,55,136,139,161,158,139,104,99,145,81,112,199,184,181,182,181,184,210,198,170,135,91,77,107,71,130,143,115,154,170,168,156,142,120,104,82,85,61,105,200,184,181,182,182,184,211,206,178,147,130,117,109,130,150,162,181,184,181,171,153,136,110,89,81,61,43,99,201,184,180,181,181,185,206,205,186,164,150,138,126,127,152,169,181,180,182,173,149,130,109,82,68,63,36,125,200,186,180,180,181,184,201,201,194,179,168,147,135,131,143,165,178,179,175,166,143,124,103,79,65,46,81,185,193,190,185,187,188,180,195,202,202,192,174,152,136,134,145,171,181,181,168,159,139,120,97,75,50,66,177,190,188,189,141,146,153,144,178,202,207,196,174,156,139,133,144,175,183,175,161,151,134,110,86,65,48,161,201,193,197,196,63,65,71,55,118,207,196,189,175,160,146,131,143,171,171,157,143,134,119,97,76,56,73,142,143,147,143,142,71,72,73,61,82,201,183,175,175,166,153,130,139,167,163,144,123,108,95,84,64,61,68,64,59,56,81,122,70,72,73,68,74,193,173,168,178,168,150,130,133,165,159,134,99,78,71,62,63,73,67,66,98,152,197,196,69,70,69,71,73,185,171,170,179,163,148,137,130,157,152,120,76,61,55,63,71,76,108,160,203,204,189,171,69,70,69,73,67,186,187,173,176,158,143,140,125,137,138,102,61,54,55,62,88,172,214,224,208,200,192,169,70,69,69,71,62,183,196,183,174,156,144,147,122,125,130,91,55,50,53,117,200,222,219,212,200,207,212,195,71,70,71,72,64,172,193,190,173,155,145,147,119,117,125,87,53,33,121,210,209,210,215,199,193,203,215,217
18,148,151,154,154,156,157,160,162,162,163,164,167,168,168,169,171,171,172,172,174,174,174,175,173,173,173,173,173,150,151,155,156,157,159,161,162,164,165,166,167,168,169,171,173,174,172,172,173,175,176,177,176,175,175,174,174,151,153,155,158,160,161,161,164,164,165,167,167,167,169,171,175,177,173,172,174,173,174,177,177,177,175,174,174,152,153,158,159,160,162,161,164,166,166,168,168,170,170,172,159,154,179,173,177,176,175,178,177,177,177,177,177,152,154,159,158,159,161,163,164,166,169,169,171,175,171,184,156,102,141,181,176,176,180,176,176,177,177,178,179,152,154,159,159,160,161,164,165,165,169,171,163,146,170,176,170,107,58,154,180,155,143,171,180,178,179,177,177,152,153,157,159,161,161,166,168,168,172,187,165,119,122,182,151,124,73,90,135,126,107,110,188,178,180,178,178,152,154,158,160,160,162,164,163,156,188,189,165,128,102,200,171,155,116,75,81,110,104,63,165,183,179,179,178,153,155,159,161,161,160,180,168,116,164,192,158,123,122,198,197,176,126,80,64,92,93,53,132,192,179,180,179,155,156,159,162,158,176,202,168,112,147,193,158,112,143,186,190,173,127,76,51,70,83,49,134,192,179,181,181,156,158,159,161,159,185,204,169,113,133,193,162,101,158,187,188,169,123,75,40,56,68,48,153,189,179,181,182,157,159,160,161,163,175,193,172,117,120,192,159,87,121,171,197,164,116,70,41,47,51,64,173,186,180,183,181,157,159,162,158,170,189,171,169,128,101,169,145,85,42,136,204,155,110,63,44,40,40,93,192,181,183,183,184,156,159,161,164,178,168,145,136,120,64,111,110,71,0,155,207,153,102,59,45,46,44,111,194,179,183,184,186,158,159,158,175,191,152,137,105,84,51,79,96,37,53,206,189,148,105,64,38,47,44,127,195,182,185,185,185,158,161,159,177,201,167,141,113,108,53,80,96,116,189,206,179,141,105,67,49,52,55,168,189,184,186,186,186,159,163,156,190,198,164,141,119,109,88,94,155,220,191,174,168,135,95,63,53,40,82,194,182,185,185,185,184,161,160,160,206,189,164,142,123,120,121,144,220,213,182,152,152,123,81,59,57,51,153,190,183,183,184,183,182,161,158,171,211,183,164,153,133,130,124,197,223,204,173,136,136,112,68,62,51,133,193,183,185,184,184,184,182,162,157,181,211,181,173,164,133,136,172,220,212,190,164,128,120,100,65,50,102,194,183,185,186,186,185,185,184,162,158,183,212,185,179,168,136,159,205,207,201,183,147,119,108,87,57,63,178,187,185,185,185,186,186,186,186,162,160,177,208,189,182,168,146,173,204,195,180,176,135,112,97,75,45,130,194,184,186,186,186,186,186,186,186,163,160,174,208,191,181,165,161,172,199,179,171,151,131,98,87,62,70,187,185,186,186,187,188,188,186,185,186,163,158,179,204,183,172,161,166,171,187,165,167,134,123,88,78,45,120,199,184,187,187,187,188,189,187,185,184,162,158,186,187,168,165,158,165,175,174,152,165,146,105,82,69,49,166,189,185,186,187,187,188,188,188,186,185,163,159,189,166,157,162,159,162,175,166,152,165,144,98,77,52,96,196,182,187,187,187,187,188,188,187,186,187,162,159,199,180,169,170,173,171,180,158,148,153,126,91,66,61,172,189,187,189,188,188,188,189,189,187,186,188,159,163,210,191,171,175,182,176,184,140,138,137,107,82,51,138,196,185,187,188,188,189,189,189,189,188,188,188
3,129,138,145,149,152,156,161,164,166,169,169,170,172,173,173,173,176,176,173,174,174,173,173,173,172,171,170,169,134,143,149,153,157,161,166,169,171,173,175,176,177,177,178,184,153,170,181,178,179,178,178,177,176,175,173,173,138,147,153,156,161,166,169,173,176,178,180,181,182,182,183,190,124,128,193,182,184,184,183,182,181,179,178,177,142,151,157,161,165,171,174,178,181,183,184,185,187,188,189,189,124,95,188,188,188,188,187,187,185,183,181,181,145,154,162,164,169,174,179,182,185,187,189,189,191,191,192,196,128,82,176,196,191,191,190,190,189,187,186,185,148,157,165,168,172,177,182,186,188,190,192,193,195,195,195,201,138,78,162,204,193,194,194,193,192,190,190,189,152,160,167,171,175,180,185,190,192,194,195,196,199,199,197,217,159,82,144,210,198,199,199,197,195,194,192,192,154,163,170,174,179,183,188,192,195,198,198,200,200,202,188,193,147,76,130,212,200,202,202,201,199,198,196,196,158,167,173,177,181,186,191,195,197,199,201,205,205,228,201,146,105,89,121,212,204,204,205,204,203,202,200,199,161,169,175,179,184,190,194,198,199,202,206,195,169,212,228,174,96,146,133,201,211,207,208,207,206,206,203,201,163,171,176,181,187,192,196,199,203,202,219,211,172,164,236,185,149,194,102,170,220,210,211,209,209,207,206,204,166,173,179,183,190,194,198,202,206,184,180,224,212,158,204,183,161,173,89,110,220,212,212,212,211,209,209,207,167,175,181,185,191,195,200,203,215,208,177,169,218,169,175,180,133,172,125,87,164,224,212,214,213,213,212,210,169,177,183,187,193,196,202,207,205,219,211,148,161,189,144,183,133,152,159,111,113,224,214,215,214,213,212,212,170,178,185,188,194,199,204,210,198,156,181,128,103,166,108,183,182,116,156,122,112,221,218,218,217,216,216,214,171,179,185,190,195,201,205,210,209,151,156,130,88,143,113,112,113,72,138,127,107,220,220,219,218,217,217,215,173,180,186,192,196,202,207,210,218,189,137,128,103,124,167,102,52,91,165,137,95,205,226,219,219,219,218,218,172,179,185,191,197,202,207,211,214,178,127,109,94,80,129,111,96,137,180,138,89,189,232,220,220,221,220,219,173,179,185,191,197,201,206,209,214,202,160,117,95,84,97,159,174,177,158,123,97,200,228,220,221,221,221,220,174,180,187,192,198,202,207,209,218,211,168,125,117,124,137,215,222,191,153,105,111,221,223,220,221,222,218,215,175,183,189,193,198,202,207,210,215,213,183,147,134,127,150,217,212,176,145,100,133,233,227,223,226,203,184,212,170,178,185,191,198,204,210,215,218,212,188,157,135,130,145,209,206,165,132,94,157,226,205,208,206,166,163,214,113,114,118,123,129,133,136,142,147,195,192,159,148,149,134,200,198,157,119,93,151,203,177,162,199,132,170,203,108,110,112,113,112,112,113,114,106,153,197,170,157,155,127,176,183,143,108,101,178,170,183,157,168,119,189,192,111,112,113,115,116,118,122,124,117,132,199,175,155,149,118,140,157,116,96,143,185,161,167,173,130,129,197,187,111,113,114,113,117,116,116,120,111,171,223,175,150,135,109,119,122,102,109,166,178,162,162,163,119,160,188,188,110,112,114,114,116,116,116,118,112,196,221,173,149,125,113,115,111,91,150,163,148,162,156,147,145,168,184,188,109,111,114,114,113,115,117,115,120,198,207,173,151,137,122,110,102,92,179,167,115,155,157,148,164,160,193,184
23,170,171,174,178,180,183,186,187,188,189,191,192,193,193,194,195,194,195,193,192,194,193,192,192,191,192,190,188,170,172,174,178,180,184,186,187,189,190,192,193,193,195,195,195,195,196,195,195,194,193,193,193,193,193,192,190,171,173,175,178,181,185,186,189,190,191,192,195,195,197,197,196,196,196,196,196,196,195,195,194,194,192,193,192,173,173,177,180,183,185,188,189,190,192,195,194,194,194,191,198,199,197,198,198,198,197,196,196,194,194,194,193,174,173,179,181,185,187,189,192,192,191,191,200,210,207,176,156,190,200,200,199,198,198,197,196,195,194,195,194,173,174,180,183,185,187,190,192,191,198,217,214,211,201,186,174,175,156,200,200,199,199,198,198,197,196,195,195,175,176,179,182,185,188,190,194,191,213,212,176,179,151,155,170,149,156,201,200,200,200,200,199,198,197,196,196,175,176,180,184,187,190,192,195,193,211,195,167,122,158,199,194,190,203,202,201,200,200,200,199,199,199,198,196,175,177,181,184,188,191,193,196,193,214,197,183,113,175,210,206,207,204,204,203,203,203,200,200,200,200,199,197,176,178,182,186,190,191,194,196,195,216,200,184,134,185,207,164,198,205,204,204,203,203,202,202,201,200,200,199,177,179,182,185,190,192,194,198,196,221,207,212,223,224,212,125,162,215,203,204,204,205,204,203,202,201,201,200,178,181,184,186,190,193,195,195,199,226,232,234,217,208,171,127,149,216,209,206,206,206,205,204,204,203,202,202,178,181,185,188,191,193,195,207,219,225,229,222,214,204,130,152,175,148,194,207,210,207,207,207,205,204,204,203,179,181,185,189,192,192,220,228,222,225,229,224,211,182,122,144,174,115,118,142,174,212,207,207,206,206,205,204,180,182,186,191,193,196,229,215,209,215,215,202,205,162,116,115,146,128,120,130,126,202,211,208,208,208,206,204,180,182,187,192,192,201,226,211,219,229,223,216,199,155,125,109,116,131,128,137,133,196,213,209,209,208,207,207,179,183,187,192,193,192,235,233,233,225,207,190,171,140,131,122,91,110,130,135,137,199,214,210,210,209,208,207,180,183,187,192,195,192,236,232,211,179,151,143,133,136,140,114,76,107,133,140,142,205,214,211,211,211,209,209,182,183,188,192,195,192,226,213,190,154,135,102,114,149,139,100,101,118,133,141,141,207,214,212,211,212,211,210,180,184,189,193,196,191,216,213,181,140,120,96,132,125,102,101,118,128,128,139,148,214,213,213,214,213,211,210,182,185,189,194,199,188,214,212,174,147,131,111,94,86,103,116,128,135,133,136,188,219,214,214,214,215,212,211,181,185,189,193,199,187,212,212,181,155,134,129,104,100,127,138,143,146,134,164,222,215,216,216,215,215,213,212,181,185,190,193,201,184,210,216,185,159,140,138,124,114,139,147,148,147,136,185,224,217,218,217,217,216,215,214,182,185,191,194,201,185,204,214,183,163,145,140,130,118,139,146,147,143,141,205,221,217,218,218,217,216,216,215,183,186,191,195,201,188,201,211,180,164,146,141,133,124,138,143,149,138,166,224,219,218,219,219,218,216,215,215,182,186,191,195,201,194,199,206,180,162,146,138,136,133,140,145,141,155,212,222,220,219,219,219,219,218,216,215,182,186,192,196,201,196,200,201,172,155,142,139,140,138,138,142,157,214,224,221,222,222,221,220,219,218,217,216,183,186,191,195,201,196,202,205,170,152,142,141,140,141,141,138,198,224,219,221,221,222,221,221,219,218,217,216
7,220,220,220,220,220,220,220,220,220,219,219,217,215,215,214,213,212,211,209,207,204,203,202,198,197,195,193,189,222,222,222,222,223,223,223,222,221,221,221,220,219,218,217,215,213,211,212,210,207,206,204,202,200,197,196,192,223,223,224,224,225,225,225,226,224,223,225,223,222,221,220,217,216,215,213,212,210,207,204,204,203,200,198,195,225,224,226,227,227,226,226,228,227,226,224,225,224,223,221,219,219,217,215,214,214,214,211,210,207,204,201,198,227,228,228,229,229,228,228,228,229,229,227,224,224,223,223,225,225,223,221,214,208,197,190,188,196,208,204,201,229,229,230,229,229,230,229,229,229,232,232,232,233,228,223,207,187,175,163,169,153,127,159,193,156,196,208,203,231,231,231,232,230,231,232,236,235,227,219,207,189,171,154,152,131,119,137,128,124,119,140,156,132,204,210,203,232,232,233,232,232,235,227,201,175,159,148,152,149,143,141,135,120,103,109,94,98,91,70,97,145,169,199,209,235,234,234,234,238,220,186,163,130,131,144,138,138,132,129,108,105,114,101,98,105,95,94,87,74,90,124,205,233,232,236,235,207,186,187,164,120,109,104,98,104,112,124,135,142,144,106,82,109,95,81,73,56,86,89,193,233,238,228,192,181,186,180,163,144,126,122,129,144,153,148,149,135,125,91,62,68,55,53,62,66,85,143,212,238,227,187,177,182,181,171,171,166,151,149,141,144,137,122,113,97,80,61,72,111,144,171,189,205,213,218,212,230,187,179,181,184,174,180,177,156,112,86,96,99,83,73,108,124,147,178,212,233,235,231,227,223,218,214,213,192,187,187,187,183,182,177,154,128,68,59,68,53,47,36,117,241,244,240,235,227,223,222,222,221,219,215,214,187,193,189,185,185,173,146,139,110,71,57,40,36,37,40,11,137,246,228,230,228,226,224,223,221,219,215,213,189,190,186,190,178,154,141,133,126,129,102,47,38,43,30,43,184,237,229,229,226,225,221,220,218,215,218,217,183,187,195,190,165,140,130,124,136,148,102,44,39,33,45,183,246,230,230,229,229,225,221,222,225,227,203,118,184,192,190,169,132,115,115,111,118,108,60,35,32,10,115,255,229,234,230,229,227,231,234,221,187,131,73,45,185,185,164,134,122,121,121,105,96,80,60,41,40,16,109,248,230,237,237,236,241,202,145,98,58,40,36,44,177,157,134,133,131,126,115,85,67,79,84,53,28,74,228,249,241,216,203,201,160,80,49,36,41,41,41,42,148,133,134,128,111,91,71,64,75,96,81,36,57,189,203,178,127,67,60,54,44,40,56,41,25,33,40,44,136,137,122,95,81,77,74,78,77,67,43,66,94,86,72,69,29,26,42,24,41,30,31,39,11,23,34,42,137,129,105,94,95,91,79,65,54,51,93,108,78,63,57,53,46,11,35,22,25,23,23,24,7,15,28,38,120,95,81,80,77,71,59,57,77,106,110,77,58,50,42,34,33,14,14,25,14,19,19,14,0,9,27,34,69,44,56,63,70,74,84,103,117,105,55,49,45,39,27,32,26,20,0,19,9,12,17,6,2,12,25,33,30,76,111,114,122,117,113,113,105,71,42,26,36,37,22,26,20,20,0,6,12,9,18,3,3,15,21,29,49,117,118,114,121,112,109,104,79,34,30,22,20,32,13,17,8,14,0,0,11,9,17,0,7,14,22,27,67,117,117,113,114,113,104,85,47,11,31,25,8,28,7,14,1,11,8,0,8,10,13,1,12,13,23,23
1,159,163,167,170,173,176,178,180,182,182,183,186,187,187,186,187,186,187,186,185,185,185,185,183,181,181,179,179,160,164,168,172,175,177,180,182,183,185,186,188,188,188,191,189,190,170,176,188,185,186,185,184,182,182,182,181,161,166,170,174,176,178,181,182,185,188,189,188,189,192,169,180,203,147,130,200,185,186,186,184,184,183,182,182,162,166,172,175,177,180,182,185,187,189,190,189,190,205,136,152,207,144,121,178,185,189,187,187,186,185,182,183,165,169,173,177,179,183,184,187,189,190,192,191,200,204,126,161,201,131,124,142,141,197,187,187,187,187,185,184,166,170,174,178,181,184,187,188,189,191,194,188,168,186,120,173,198,123,149,163,116,194,189,189,189,188,187,186,167,171,176,179,181,184,188,188,191,191,200,187,115,162,129,182,207,135,160,165,110,190,192,191,190,189,188,187,168,173,177,180,183,186,188,190,194,192,206,172,104,159,137,179,194,132,167,167,107,188,196,193,191,190,190,189,169,174,178,182,184,187,188,191,194,193,207,158,96,143,122,160,182,122,180,178,114,188,197,194,193,191,190,189,170,175,178,183,186,188,191,193,194,197,209,150,100,158,121,174,183,122,185,171,114,187,197,194,194,192,192,192,171,176,180,183,186,189,193,195,195,203,205,140,106,177,117,179,181,118,193,168,115,190,197,196,196,194,193,192,172,177,182,184,187,190,194,196,195,208,209,143,92,141,91,163,147,118,203,170,120,194,199,197,195,195,194,193,173,178,182,185,189,191,194,197,195,214,203,145,126,139,129,164,167,143,169,167,119,197,199,199,198,196,196,195,172,179,183,186,189,193,195,197,199,219,199,163,142,187,195,199,202,177,123,142,123,200,199,200,199,198,196,196,173,179,184,186,190,194,196,196,209,218,178,148,119,131,177,171,198,207,156,99,115,205,200,200,200,200,198,198,175,180,184,187,191,194,196,195,217,213,173,135,120,108,128,125,199,222,193,115,111,209,200,200,200,199,198,198,174,180,185,188,192,194,197,196,223,209,163,133,130,128,143,177,188,207,194,138,123,210,201,202,201,201,199,199,175,181,185,188,192,195,197,200,225,202,167,135,139,135,168,214,201,185,157,135,105,192,207,202,202,202,201,200,174,180,184,188,192,195,197,202,227,204,174,148,145,150,198,218,195,173,141,112,100,194,208,203,203,202,201,200,174,180,184,187,190,194,195,202,226,204,170,150,147,158,212,224,190,162,133,100,99,204,204,202,202,202,201,200,175,181,185,188,191,195,197,201,224,206,175,166,148,156,214,222,183,152,127,91,116,211,204,204,202,202,201,200,175,181,186,189,191,195,198,200,220,209,185,184,154,149,218,206,174,139,115,86,175,211,204,204,204,203,201,201,176,181,185,189,192,195,199,199,217,213,191,188,153,156,213,192,168,132,97,109,211,205,205,205,205,203,201,201,175,180,184,188,192,194,198,199,219,216,192,179,143,161,199,170,156,122,83,150,214,204,204,204,201,201,200,200,176,182,187,192,197,199,203,200,220,210,187,165,140,165,177,157,142,110,93,198,215,210,210,210,208,208,206,205,149,152,153,154,157,161,156,177,227,203,188,165,150,169,164,154,133,99,104,165,163,164,164,165,166,166,165,163,122,119,119,120,119,121,112,192,225,204,194,166,166,163,148,141,114,91,106,110,110,110,110,111,107,107,105,104,130,128,129,131,131,128,137,221,206,187,185,175,163,144,135,124,93,99,123,121,121,120,120,120,119,118,118,119
2,152,151,153,152,152,153,153,152,152,151,151,151,152,151,149,150,149,148,146,147,147,146,149,87,50,53,50,53,155,153,155,154,154,155,155,155,153,154,154,155,152,152,153,149,153,152,153,150,150,147,153,114,52,57,46,55,157,157,158,157,157,158,156,157,157,158,157,156,156,160,150,100,105,140,130,155,154,150,154,130,56,44,33,53,159,159,160,161,160,161,161,160,160,157,160,162,162,135,96,74,56,87,70,127,155,152,153,144,69,30,37,60,162,162,163,164,163,163,164,163,161,167,174,166,102,70,59,55,53,64,58,55,131,160,153,160,91,17,27,51,165,165,165,165,165,164,164,164,165,177,167,116,61,53,50,46,42,49,58,48,127,163,155,162,114,94,69,37,167,167,168,168,168,168,167,162,172,184,113,63,47,42,49,45,38,44,44,66,151,162,158,161,140,102,148,132,170,169,169,169,169,169,169,162,184,167,88,55,47,40,43,48,54,80,114,150,165,163,161,169,120,102,178,153,171,171,171,170,170,171,169,171,188,137,78,53,60,50,52,57,126,171,171,168,164,164,162,171,128,130,171,105,172,172,172,173,172,173,170,185,173,118,67,49,57,50,73,145,173,168,167,168,167,167,165,166,157,142,105,102,174,174,174,174,176,172,174,193,164,114,77,61,51,51,127,185,169,171,170,170,170,168,167,166,167,158,109,160,176,175,175,175,177,173,187,197,152,105,76,71,57,52,148,179,172,172,172,172,170,169,169,169,167,163,157,145,177,177,176,177,177,173,199,187,140,92,70,68,61,74,175,176,175,174,173,172,171,170,171,170,171,165,163,168,177,177,177,179,173,177,204,174,134,91,67,62,58,100,185,175,176,176,174,173,174,173,173,172,171,170,162,145,180,179,179,179,169,193,198,162,123,86,68,63,58,106,187,175,177,176,176,176,176,173,173,173,172,171,175,138,182,181,182,177,177,204,185,151,113,79,67,67,52,131,190,175,178,177,177,177,177,177,177,176,177,176,172,172,181,180,183,170,188,205,177,142,104,78,63,57,50,104,188,179,179,178,180,182,177,163,152,144,140,160,176,172,182,182,183,170,201,197,169,133,98,77,56,53,64,59,112,192,187,183,171,152,137,141,137,128,110,82,158,177,182,185,174,184,205,191,159,122,92,75,46,54,67,72,64,127,157,138,129,139,141,138,119,102,111,111,161,178,184,182,172,202,200,183,146,114,86,68,44,69,76,85,89,82,91,116,141,144,125,91,91,145,178,183,179,176,188,176,191,206,196,174,139,109,83,66,52,81,90,96,95,96,103,120,119,100,89,99,167,188,180,178,178,178,176,186,203,196,187,167,131,97,78,67,64,87,98,99,98,91,92,88,90,127,166,184,184,181,181,181,180,178,175,193,197,191,183,155,118,88,77,66,78,96,102,98,89,78,69,111,174,190,187,183,182,183,182,182,181,181,187,192,191,177,158,128,99,81,76,69,85,94,98,86,72,95,146,190,192,186,185,185,185,184,182,181,180,181,185,185,174,155,135,114,91,79,73,76,83,91,87,66,117,188,193,188,188,188,186,186,186,184,184,183,182,181,183,175,154,133,124,100,84,79,79,81,79,73,77,132,193,192,189,189,189,189,188,188,187,186,186,185,184,183,177,167,138,108,98,79,77,82,80,76,74,114,171,198,189,190,191,190,190,190,189,189,189,188,188,185,185,179,172,155,122,91,74,72,78,81,72,110,161,197,197,190,192,192,191,191,191,190,190,190,189,189,188,187,187,159
0,234,231,232,233,233,233,232,230,232,233,233,233,232,232,231,231,230,229,229,228,225,224,224,225,223,220,220,220,237,236,235,235,236,236,235,235,235,235,235,234,235,234,232,232,231,230,230,229,229,227,226,227,225,223,222,221,238,239,238,238,238,239,238,238,237,236,236,236,236,235,235,234,233,231,232,230,230,228,229,228,225,223,223,222,238,239,239,239,239,238,238,238,239,238,239,238,237,235,237,236,234,234,234,230,231,231,229,229,229,227,226,224,239,239,239,239,239,239,238,239,239,239,240,240,240,238,238,241,237,236,239,238,233,231,232,231,230,229,228,227,242,241,242,240,239,240,239,240,240,240,240,240,238,240,233,217,235,242,218,214,239,208,202,238,230,229,229,229,242,242,242,242,241,241,240,240,241,240,241,244,246,237,196,154,152,201,174,143,167,211,144,231,233,231,231,228,243,243,243,243,242,243,244,243,245,248,244,220,194,207,192,161,111,119,179,146,107,209,144,189,247,229,233,229,243,244,244,244,243,243,242,243,223,222,231,198,140,117,187,170,142,129,181,152,110,185,180,117,221,240,230,232,244,245,246,245,245,245,241,229,185,135,209,193,151,104,178,179,156,126,188,157,100,154,194,130,126,219,236,231,246,245,246,246,245,246,230,222,193,141,192,201,165,118,172,186,145,123,194,160,95,111,200,167,113,144,250,230,246,246,247,247,248,242,216,213,206,163,174,211,163,122,149,189,142,106,167,144,86,113,206,177,104,154,250,232,249,248,248,248,248,237,202,193,205,173,157,202,157,119,130,187,141,75,100,99,69,167,213,169,92,208,243,234,250,249,246,248,247,231,222,178,187,168,125,182,164,129,94,127,101,47,78,79,125,208,206,139,118,245,236,238,251,250,249,249,244,224,201,146,155,125,77,147,156,121,61,58,74,122,169,150,186,208,185,106,170,252,236,238,250,251,251,253,240,222,210,170,136,97,68,86,109,74,55,92,168,210,206,193,170,192,158,83,217,247,238,239,251,252,251,254,238,225,223,196,154,132,114,117,128,133,157,195,216,208,199,194,153,151,117,96,248,241,241,239,252,253,251,255,236,225,232,202,173,151,139,150,181,209,219,223,224,210,193,180,134,116,73,180,255,241,242,239,252,252,251,255,237,218,232,207,180,147,149,159,210,224,226,229,222,198,179,163,123,67,141,255,243,244,243,242,251,252,251,253,243,208,223,209,187,161,157,177,226,229,226,228,209,183,162,145,83,112,252,246,244,245,245,243,251,252,252,252,251,211,218,216,194,182,169,192,223,228,227,214,187,170,149,109,82,233,249,244,244,244,243,242,252,252,252,252,255,221,206,219,208,193,170,196,219,220,217,197,168,152,128,72,196,255,241,245,244,243,242,240,252,253,253,251,255,238,201,214,207,189,169,187,211,203,193,172,147,130,73,154,255,243,247,245,244,243,242,241,253,252,253,253,254,251,209,210,198,181,169,179,200,188,173,150,125,73,121,254,248,248,246,245,245,244,244,243,252,252,252,254,255,249,216,210,190,173,169,173,193,180,152,134,80,113,250,250,248,250,248,246,246,245,245,244,251,251,252,251,254,240,215,207,198,194,189,178,185,175,141,101,82,243,254,249,250,250,248,247,246,246,244,243,255,255,255,255,255,219,214,216,211,206,193,181,180,160,122,72,163,255,247,252,250,249,250,248,248,247,243,241,215,219,223,226,230,203,218,226,216,204,193,183,165,135,109,75,213,255,250,252,252,250,249,248,247,246,244,242
15,170,148,158,119,107,172,50,37,84,81,82,85,89,93,106,122,133,143,148,153,159,165,170,174,178,180,183,187,169,152,164,111,123,170,39,48,85,81,83,87,90,94,108,124,137,147,150,155,162,169,173,176,181,183,186,189,168,154,167,103,137,162,29,58,86,82,86,90,91,95,111,125,139,149,152,157,165,172,177,181,184,187,190,192,166,157,166,96,153,151,19,66,84,81,82,85,87,94,114,130,142,151,154,158,168,175,179,183,187,191,194,196,162,159,164,92,168,134,23,81,92,93,104,113,117,100,112,126,143,155,159,163,171,178,188,192,190,193,198,200,161,171,158,122,150,135,119,122,119,127,131,125,114,110,109,110,116,126,135,142,140,131,138,170,201,202,200,203,168,176,141,128,132,125,122,108,108,110,105,102,102,116,118,116,116,113,113,127,131,120,107,92,122,185,214,210,170,156,118,116,111,110,105,100,104,105,106,103,108,121,123,119,112,107,111,125,128,126,120,103,84,85,142,204,170,173,133,106,122,93,91,94,100,103,103,103,113,122,119,114,109,108,121,125,118,123,116,107,103,95,79,97,174,183,126,128,194,53,46,91,83,86,88,91,97,111,125,141,124,118,119,120,123,123,117,109,108,113,99,83,176,186,115,143,188,38,49,93,83,85,89,91,90,104,132,182,158,134,127,119,112,119,111,114,109,127,110,95,176,186,110,158,177,28,59,92,84,85,89,90,94,103,164,168,141,111,103,112,91,91,109,116,119,139,119,104,178,184,104,171,164,21,68,91,82,85,88,91,90,124,185,145,129,100,58,70,58,49,134,139,139,134,113,110,181,181,102,184,151,17,76,90,84,86,87,90,92,173,170,131,114,94,55,42,32,47,156,159,151,125,103,109,183,176,102,196,136,15,82,89,85,85,89,84,119,205,167,125,107,72,42,43,26,74,165,168,163,128,100,102,190,171,106,203,119,15,88,89,84,86,89,84,112,189,176,138,109,63,33,42,49,88,156,176,170,133,101,98,197,164,112,215,106,20,91,88,84,86,88,90,89,163,196,166,123,79,31,61,94,85,139,176,155,126,103,88,202,156,122,222,91,23,96,87,84,84,87,90,93,126,206,189,143,86,42,35,70,132,159,154,124,113,100,76,207,144,134,221,75,30,95,85,82,81,85,86,97,112,187,204,167,143,131,128,151,153,135,114,96,98,95,80,209,136,149,218,60,38,94,82,81,81,84,85,95,115,151,208,190,173,164,163,168,129,97,91,89,87,91,93,209,125,164,209,47,47,95,81,80,79,82,85,97,114,172,188,145,135,139,161,165,117,83,83,75,82,90,83,206,121,180,200,34,54,92,79,78,78,82,85,93,128,203,152,133,138,134,155,160,120,84,79,143,123,63,63,203,114,193,186,26,62,89,74,73,72,75,77,85,135,189,141,127,123,118,140,145,123,79,109,247,141,66,64,197,116,200,181,131,125,134,125,120,117,113,115,118,134,161,142,138,151,117,95,130,129,94,123,238,142,74,68,189,119,204,185,142,104,122,120,120,120,124,128,126,121,116,126,124,175,170,99,98,135,116,127,150,115,81,73,184,122,209,181,136,108,122,120,121,122,122,122,125,125,126,128,122,131,190,147,105,131,131,130,131,107,70,69,174,131,213,177,135,114,123,123,125,125,124,127,128,128,130,130,129,127,141,148,126,133,132,131,136,109,66,43,164,139,212,176,135,117,124,122,123,124,124,127,127,128,130,130,130,131,130,129,131,131,132,131,133,108,76,57
12,156,157,159,162,163,165,168,170,172,172,172,173,174,173,174,174,174,173,174,175,174,173,173,172,171,170,170,170,157,159,161,163,165,166,169,171,173,174,174,174,175,175,175,176,175,175,176,177,176,175,174,173,173,172,171,171,158,160,163,165,166,168,170,172,174,175,176,176,177,177,177,177,178,177,178,178,178,178,177,176,175,174,173,173,159,161,164,166,167,169,171,173,174,176,177,178,179,178,179,180,180,179,178,179,179,179,179,177,177,176,175,174,160,162,165,167,169,171,173,175,176,178,179,180,180,179,180,181,181,179,177,179,180,180,179,178,178,178,177,176,161,163,166,168,171,173,176,177,178,179,180,180,183,180,170,174,183,171,155,164,180,180,180,180,180,180,180,179,163,165,167,170,172,174,177,179,180,180,180,183,197,191,159,156,188,164,122,126,170,177,179,181,181,181,181,181,165,167,169,171,173,175,177,179,180,181,181,182,204,199,159,147,184,159,109,95,143,145,147,174,182,183,183,183,166,169,171,173,175,177,178,179,181,187,184,162,165,179,152,139,177,153,104,98,145,127,100,144,181,184,184,185,166,169,171,174,176,178,180,181,185,203,197,160,126,142,143,131,175,156,108,121,160,133,89,115,178,186,185,185,167,169,172,174,177,179,181,183,197,215,207,169,120,115,145,134,182,174,126,143,174,144,90,106,176,187,186,185,168,171,173,176,178,180,182,185,205,206,202,171,121,102,142,128,157,160,120,152,188,147,86,105,177,188,187,187,170,172,175,177,179,182,184,192,211,196,192,169,119,84,99,92,92,128,130,154,163,117,71,108,180,189,188,188,172,174,176,178,181,183,187,206,211,183,178,164,119,78,62,62,82,146,174,171,151,117,78,117,183,190,189,188,173,175,177,180,182,184,191,214,202,168,161,157,125,84,68,92,143,174,175,163,140,118,92,132,187,191,191,189,174,175,179,181,183,185,198,216,198,169,148,149,137,91,89,159,193,183,166,148,121,102,91,137,189,192,192,191,175,177,179,182,185,187,207,218,200,177,148,132,127,107,141,202,205,180,159,138,110,93,86,144,192,194,193,192,176,178,180,184,186,189,212,219,201,179,159,135,132,147,192,216,203,174,151,127,102,86,83,150,194,195,194,193,177,179,182,185,187,190,213,220,203,185,169,148,145,165,206,216,197,167,142,118,96,82,78,148,194,195,195,194,178,180,182,185,188,190,212,222,208,192,178,157,148,174,209,209,187,161,133,109,90,77,86,162,196,195,195,195,179,181,184,186,188,191,209,221,208,192,178,161,156,185,203,194,175,152,125,100,83,81,127,186,197,196,196,196,180,183,185,187,189,192,206,218,204,188,172,161,169,190,187,178,161,139,115,92,83,120,178,198,198,197,198,197,181,183,186,188,190,192,208,216,200,187,172,169,182,190,177,167,150,127,104,89,117,175,198,200,200,199,199,198,182,184,187,189,191,194,214,219,206,194,181,181,190,188,171,156,138,117,95,106,167,198,202,201,200,200,200,200,183,185,188,190,192,196,223,226,215,199,190,190,189,178,161,138,121,102,97,145,193,203,203,202,201,201,200,200,184,186,189,191,192,199,226,227,220,203,194,190,181,166,145,122,106,92,128,185,204,205,204,203,202,202,201,200,184,187,190,192,191,201,220,216,211,198,190,183,171,152,132,113,95,104,168,202,206,206,205,204,203,202,202,201,185,187,191,192,191,202,215,203,195,186,182,180,165,142,128,108,90,125,189,206,207,207,206,205,203,203,203,202
3,119,120,121,120,121,121,120,123,120,120,119,117,116,116,116,115,114,113,109,107,105,103,102,100,98,97,96,93,120,121,123,123,123,122,122,124,121,120,122,119,117,117,116,115,107,111,111,108,107,104,102,102,99,97,96,94,123,123,124,124,124,123,124,124,124,123,122,120,119,119,113,135,61,85,117,109,109,106,104,102,100,98,98,96,126,124,125,126,125,126,125,124,125,124,124,123,121,117,125,128,34,89,119,109,109,108,107,105,102,100,99,98,127,127,129,130,127,127,127,127,127,126,125,125,124,117,146,93,31,113,118,113,110,109,108,107,106,102,99,98,131,131,131,132,131,131,130,129,129,128,126,127,123,133,147,49,63,125,116,117,116,113,111,109,107,105,102,100,132,133,133,134,134,134,133,134,132,130,130,130,123,159,126,33,93,130,120,120,118,117,113,111,109,107,105,103,134,135,136,137,135,136,136,135,134,132,133,128,146,151,85,33,119,130,125,124,119,118,116,114,111,110,107,106,137,139,140,139,140,139,138,138,137,136,137,133,155,125,40,69,125,113,121,124,126,121,117,116,114,113,111,108,140,142,143,143,143,141,143,141,141,140,138,136,147,131,87,99,122,113,122,112,105,121,122,116,118,117,115,112,141,143,144,145,144,143,144,143,143,142,140,140,151,158,136,102,102,104,107,124,102,61,117,125,111,112,118,114,144,145,146,146,145,146,146,145,145,144,143,140,173,144,115,119,108,82,75,59,91,71,53,88,94,63,109,120,148,148,147,147,148,150,149,147,147,148,142,155,178,147,123,105,86,67,38,41,14,79,80,48,62,54,115,120,150,150,150,150,150,151,150,149,150,148,150,182,164,109,55,40,78,67,48,39,23,21,62,38,25,108,125,121,152,152,153,153,152,153,152,152,151,149,176,184,117,58,18,0,97,129,68,43,30,27,6,21,65,134,122,122,153,153,155,154,154,154,154,154,150,164,194,153,72,31,12,0,36,152,143,117,61,22,30,28,89,135,124,123,154,156,157,155,157,157,156,158,142,181,188,128,67,37,7,0,0,49,139,169,84,15,43,35,114,134,126,125,158,158,158,158,159,158,158,160,142,171,169,130,68,19,2,0,0,0,27,84,25,41,50,50,131,134,129,127,159,159,159,160,159,159,159,162,147,161,179,142,79,32,3,1,7,19,20,16,18,54,50,61,139,133,130,127,160,162,162,162,162,162,161,163,146,158,188,144,96,50,14,8,21,30,43,58,48,51,49,76,144,134,131,130,161,162,163,164,163,163,163,164,146,154,195,153,103,60,33,10,25,43,65,75,63,47,36,93,147,134,134,133,162,164,164,164,164,165,164,167,148,148,198,157,109,75,53,16,26,61,78,78,66,42,54,133,141,136,136,134,163,163,165,165,167,167,167,169,151,141,189,153,117,80,57,25,29,63,71,65,56,46,123,151,141,140,137,135,164,165,168,168,167,166,166,169,154,140,186,158,123,82,53,32,32,55,62,58,43,71,150,145,143,141,139,137,166,167,168,169,170,169,169,171,160,138,177,158,121,81,54,44,36,51,58,53,44,120,153,146,144,144,141,138,167,168,169,169,169,170,170,172,162,150,177,147,115,81,63,53,39,46,53,47,101,155,149,148,145,143,141,139,167,169,169,169,169,169,169,171,163,148,181,147,119,90,70,55,46,47,51,97,157,152,151,149,147,144,141,139,168,170,169,170,170,171,171,173,160,146,173,138,115,90,62,52,53,48,76,155,158,154,153,151,150,147,142,140
16,128,125,124,122,122,124,124,126,126,131,142,151,160,167,174,180,182,184,188,189,193,199,202,205,209,212,214,216,127,125,123,122,122,123,124,126,125,131,142,151,159,166,173,180,184,183,185,190,194,196,202,205,208,211,214,216,126,125,123,121,122,123,124,123,123,131,141,149,158,166,173,178,181,199,186,168,186,202,203,202,207,210,212,215,126,124,122,121,121,121,123,124,123,131,141,149,158,164,174,178,207,212,186,162,144,156,190,210,208,209,212,214,127,124,121,121,121,121,122,122,123,130,141,152,151,197,212,209,214,192,169,164,149,126,123,163,207,216,215,216,126,124,122,121,121,122,122,121,122,129,142,140,171,230,209,198,193,178,163,149,142,139,125,113,135,180,203,215,124,124,122,120,121,120,121,121,121,131,134,157,219,205,185,182,174,166,152,134,137,141,131,125,118,117,134,156,125,123,121,120,121,120,121,121,123,125,138,208,205,181,176,166,151,144,134,132,129,140,141,128,128,122,118,116,124,121,120,119,119,117,119,122,115,144,190,191,174,170,157,142,135,127,128,130,113,142,140,147,132,125,121,117,122,120,119,118,120,118,120,114,128,216,192,168,163,151,134,128,122,117,126,116,106,148,144,157,138,130,121,114,119,117,114,114,115,115,119,98,192,230,189,162,139,129,125,119,110,118,119,94,112,153,146,155,142,132,120,115,171,167,165,161,157,155,148,156,229,211,177,144,120,111,110,105,110,117,96,80,124,150,145,161,149,142,126,122,154,152,151,149,149,149,144,216,212,188,153,125,108,105,102,89,94,87,73,70,124,145,146,173,167,152,136,124,148,147,147,148,148,137,171,214,181,157,129,113,102,106,94,73,69,62,65,63,113,145,153,180,169,153,147,119,152,152,152,153,149,152,215,192,154,124,115,105,103,105,92,67,60,61,64,60,94,136,162,185,148,151,152,113,152,154,153,155,141,193,215,164,130,104,102,105,110,111,111,98,66,62,65,68,67,133,190,165,130,146,141,107,153,155,157,148,166,207,170,134,106,125,115,108,113,116,114,115,91,86,90,82,86,186,184,142,126,129,118,107,152,155,152,155,207,172,134,104,121,164,131,132,128,124,120,112,105,103,105,86,161,197,158,129,118,113,106,107,154,154,144,198,189,135,105,109,150,140,126,131,132,125,122,115,107,107,89,117,211,179,141,114,109,103,104,108,154,154,150,182,149,109,111,147,153,142,145,133,120,112,114,109,103,107,101,174,215,180,121,104,102,100,106,105,151,154,154,153,144,140,150,152,154,154,152,147,139,127,136,135,132,144,146,214,213,185,120,92,98,113,110,104,151,152,153,153,154,155,152,152,153,153,153,155,155,156,156,155,156,155,149,216,218,185,128,93,125,117,110,108,149,152,153,152,152,152,152,151,153,153,153,154,153,153,153,153,153,154,146,195,204,175,120,134,176,129,124,122,148,151,152,151,152,152,152,152,153,153,153,154,154,154,154,153,154,156,150,166,181,143,120,151,181,154,131,132,149,150,151,151,151,151,152,152,152,152,152,153,154,154,154,154,154,154,154,154,158,136,137,149,171,194,153,142,149,150,150,152,151,151,151,151,152,153,153,154,154,154,154,154,154,154,153,153,154,154,156,152,152,204,182,165,148,149,151,152,151,151,151,151,152,153,152,153,153,153,153,153,155,154,153,154,153,153,155,156,144,198,203,181,150,149,151,151,150,150,151,151,152,152,151,151,152,152,152,152,154,154,153,153,154,153,155,157,142,186,215,191
6,173,175,175,176,176,176,175,175,175,175,175,173,172,171,170,169,169,167,165,164,164,164,163,161,159,159,107,124,174,176,176,176,178,177,176,177,177,176,176,175,174,174,173,171,170,169,167,166,166,166,165,164,162,159,154,109,177,178,179,179,179,179,178,177,179,177,176,176,175,176,175,174,171,169,170,169,169,168,166,165,164,160,160,144,178,180,181,181,181,181,181,180,181,180,179,177,176,177,175,174,173,172,172,172,173,168,166,166,164,163,159,152,179,181,182,183,183,183,182,182,181,181,179,179,178,178,177,177,176,175,173,173,172,170,168,167,166,164,161,157,181,182,183,184,185,183,184,184,183,183,182,181,180,178,178,180,178,176,174,174,174,172,170,168,168,166,165,160,182,183,183,185,186,186,186,187,184,183,183,184,182,182,182,179,178,173,173,172,172,170,166,166,160,163,163,163,183,184,185,187,188,189,187,187,190,188,184,181,177,171,169,166,164,142,142,157,158,143,153,149,158,199,145,155,184,186,189,189,188,188,187,186,178,167,169,170,164,166,168,170,159,155,142,164,169,151,155,157,148,179,126,150,185,188,190,190,189,188,189,194,170,148,157,170,172,178,180,179,162,140,141,135,136,124,113,115,105,109,136,168,186,188,189,191,191,187,199,206,178,161,151,151,154,149,145,137,128,117,91,86,78,84,126,132,150,165,172,167,187,189,190,190,192,189,208,209,190,176,159,144,139,130,123,113,99,79,52,38,35,145,190,179,178,174,169,167,188,189,191,193,192,196,215,211,203,172,136,130,135,143,141,134,124,116,113,74,112,190,175,175,174,173,171,170,189,191,192,195,190,206,221,216,199,143,112,121,126,138,143,142,132,120,121,89,126,192,178,179,176,175,173,171,191,193,194,195,189,216,217,213,172,118,128,124,115,117,136,126,116,116,109,64,132,191,180,180,177,175,174,173,190,193,195,192,196,220,213,212,182,160,145,129,105,105,139,131,123,127,109,77,176,186,182,181,179,177,175,174,192,195,196,190,211,216,214,216,214,200,159,126,132,142,142,134,120,108,106,88,148,192,181,182,180,177,175,173,194,196,191,196,217,216,217,213,211,207,153,115,121,127,126,124,109,99,98,66,141,193,182,184,181,178,175,173,194,196,188,204,215,219,215,207,206,186,144,119,113,104,109,116,112,106,85,82,178,188,183,183,181,177,178,181,194,186,188,211,214,217,208,199,194,188,170,151,118,79,88,112,108,107,77,117,195,182,184,182,177,178,176,153,194,173,202,212,215,210,205,205,199,191,197,185,133,98,113,134,123,101,91,78,175,189,181,180,182,189,113,34,182,181,210,213,212,209,211,207,194,198,202,171,116,95,105,106,96,85,74,70,173,188,187,191,162,97,32,20,177,199,206,210,207,203,197,192,189,198,186,145,106,100,99,87,77,72,66,140,199,189,161,100,47,21,21,17,192,201,207,203,195,188,180,182,181,167,146,118,101,90,69,105,123,144,170,178,134,84,36,19,20,19,20,19,200,199,203,195,181,176,174,170,168,147,121,109,109,100,113,170,148,123,92,53,24,1,7,17,17,12,15,12,197,199,190,179,167,157,168,166,154,142,130,116,93,64,65,40,20,12,9,20,8,0,5,9,11,8,11,8,196,194,187,176,162,150,152,146,132,124,106,79,46,23,6,11,11,12,16,17,0,0,0,4,9,6,7,9,199,189,182,165,143,136,130,114,97,85,63,37,14,23,12,0,4,5,11,12,0,0,0,2,7,3,2,8
0,191,192,193,193,194,195,195,196,196,196,195,194,195,195,195,195,195,195,195,196,195,195,196,196,194,194,194,194,192,193,194,194,194,196,197,196,197,196,195,196,196,197,196,195,195,197,197,197,196,197,197,197,196,196,196,196,194,195,196,196,196,196,197,197,197,197,197,196,194,196,205,188,161,171,193,188,190,199,198,195,196,197,198,198,195,195,196,197,198,197,197,198,198,198,201,197,170,167,207,183,153,132,134,147,146,177,185,156,190,199,199,198,196,196,197,198,199,198,198,199,199,200,220,205,169,141,180,188,168,143,94,136,136,128,166,125,178,202,199,199,197,198,199,199,199,199,200,204,184,177,221,206,178,151,174,204,175,150,105,153,145,120,143,125,169,203,201,201,197,198,200,200,200,200,205,223,181,150,189,214,185,158,165,219,186,155,112,166,148,111,120,128,145,206,202,202,197,198,200,200,201,201,215,221,191,163,166,222,192,157,152,220,189,153,109,165,144,100,107,134,106,191,202,203,198,200,200,200,200,212,209,211,201,174,146,209,196,154,135,214,185,141,91,137,131,91,98,140,92,150,207,204,199,201,201,201,203,214,187,203,208,179,135,186,198,150,114,188,172,127,81,111,115,84,100,146,99,126,207,205,201,201,203,201,211,206,174,184,203,176,130,158,189,142,98,152,157,121,83,97,104,78,118,156,110,128,208,207,200,201,203,202,212,202,176,168,186,161,119,130,171,133,87,120,149,117,81,99,107,91,156,170,119,132,208,208,199,200,201,206,213,194,165,142,169,151,113,108,161,129,78,99,149,114,83,121,117,115,181,171,120,140,209,207,199,200,201,203,223,206,172,132,141,147,107,97,156,134,77,95,154,124,138,174,149,126,173,172,119,151,209,207,200,201,201,205,223,211,179,140,110,131,120,97,159,147,92,108,162,168,180,177,158,133,134,155,112,153,209,206,201,201,201,208,227,215,190,158,124,115,129,115,161,162,149,178,190,187,178,165,147,132,114,114,96,150,210,207,202,202,202,208,228,221,198,172,154,143,142,157,175,186,199,203,201,191,175,158,137,120,110,94,85,148,211,208,202,202,202,208,223,223,207,187,173,161,152,158,178,193,202,203,202,191,170,154,133,112,101,91,86,168,211,209,201,202,202,205,218,220,213,200,188,170,161,159,173,190,201,200,195,186,165,149,128,109,96,88,133,203,212,210,200,202,202,199,215,220,220,209,193,175,163,162,173,194,203,200,189,179,162,145,123,103,87,122,197,209,211,210,164,167,172,167,199,220,223,210,195,178,165,162,174,196,201,194,182,172,157,136,114,95,99,184,210,211,211,211,103,105,108,102,155,217,215,205,196,183,169,158,173,193,190,179,167,157,144,124,106,92,114,161,166,168,170,171,104,104,103,97,127,211,203,197,196,187,173,157,169,188,182,166,147,134,123,112,97,96,99,102,103,105,125,153,103,104,104,101,118,205,193,193,197,187,172,158,164,185,176,154,125,111,103,97,99,104,103,106,133,173,205,207,102,102,103,102,114,202,193,194,197,184,172,162,160,177,169,139,106,94,90,97,107,116,143,181,213,217,210,195,102,102,102,102,111,206,205,196,195,181,169,164,154,164,158,125,96,88,89,102,129,190,223,234,226,220,212,194,102,103,102,101,108,203,212,203,194,179,170,168,149,154,151,117,90,84,96,148,211,233,235,230,220,225,227,214,103,102,102,102,107,195,211,209,194,178,170,168,146,147,147,113,85,80,147,215,226,231,232,219,215,222,231,231
18,219,219,219,220,221,222,223,223,223,222,223,223,222,222,221,220,221,221,222,222,221,219,217,216,214,214,212,209,220,221,222,223,222,222,224,224,224,224,223,223,223,221,222,222,222,223,222,222,220,219,218,219,216,214,213,213,223,223,225,225,225,226,224,224,224,224,224,223,224,225,224,223,224,226,222,225,220,218,218,219,218,215,214,214,225,225,225,226,227,228,226,226,224,223,226,225,226,225,224,225,224,233,216,211,226,221,220,220,218,217,216,215,225,226,228,228,227,228,229,230,227,226,227,227,223,227,228,226,225,255,218,171,207,226,223,221,222,221,218,216,228,230,230,229,229,230,229,230,229,230,231,227,246,248,210,221,255,255,244,187,190,220,218,224,221,219,218,219,229,230,231,230,229,231,231,233,228,231,229,247,255,251,205,183,238,255,255,247,249,234,180,179,222,218,219,222,230,231,231,231,232,232,234,230,237,255,221,241,255,241,213,173,235,234,255,255,255,245,182,125,201,226,221,222,232,233,233,234,234,233,228,237,255,255,217,184,255,237,203,180,252,219,221,255,255,239,173,116,163,230,221,221,232,230,232,234,231,234,229,255,255,255,225,185,255,245,201,179,255,235,181,255,255,242,163,111,146,235,224,224,235,234,234,234,236,230,254,255,255,255,231,180,255,254,203,185,255,230,191,255,255,240,157,103,165,238,223,225,236,238,238,238,236,237,255,255,255,255,240,183,255,249,201,170,236,209,190,255,255,228,150,100,202,235,226,227,238,239,237,239,236,255,255,255,253,255,232,175,216,229,194,137,167,159,219,255,255,209,141,121,234,229,229,229,239,239,239,236,249,255,255,220,227,219,178,133,169,197,152,88,184,231,255,255,247,195,128,175,242,230,231,229,241,242,243,238,254,255,255,222,198,194,151,106,190,192,121,201,255,255,255,240,229,180,127,220,239,232,231,231,242,243,245,236,255,255,255,237,186,175,153,97,210,177,226,255,255,255,235,208,207,157,125,232,236,237,234,232,241,243,246,241,255,255,255,245,215,180,166,152,145,223,255,255,255,255,217,185,177,127,162,249,234,237,235,235,244,246,245,248,255,255,255,253,232,197,181,181,215,255,255,255,255,239,194,167,157,104,196,249,237,238,238,236,246,247,244,253,255,255,255,255,249,212,206,230,255,255,255,255,255,218,176,156,125,134,238,242,240,239,239,238,246,248,243,254,255,255,255,255,255,236,225,252,255,255,255,255,250,203,163,146,105,206,252,240,241,240,240,238,245,247,243,251,255,255,255,255,255,242,234,246,255,255,255,255,217,190,148,118,132,248,243,243,240,241,242,238,246,246,246,249,255,255,255,255,255,240,238,241,255,255,243,244,202,166,131,96,196,252,242,243,241,242,241,241,247,248,246,249,255,255,255,255,247,232,233,240,255,238,229,226,198,142,108,119,244,244,242,243,245,242,241,251,245,249,245,251,255,255,254,251,234,221,224,231,252,231,217,206,168,119,81,188,255,244,246,244,243,242,242,193,251,251,250,255,255,255,255,253,239,237,226,230,255,216,189,169,131,78,121,250,246,247,244,245,250,255,182,106,190,180,165,216,255,255,255,255,255,255,223,227,252,190,157,133,86,84,235,251,246,246,251,246,217,171,119,105,134,132,124,129,137,139,143,147,156,179,163,183,194,155,127,101,58,196,255,255,255,255,214,149,118,101,94,84,157,119,120,123,115,108,100,92,78,72,72,76,77,69,64,62,53,91,117,150,208,208,107,109,113,106,96,83
7,126,131,137,141,143,145,146,146,146,148,149,150,149,149,149,148,148,148,147,147,146,144,149,126,151,166,160,167,133,138,142,145,148,149,150,152,152,153,154,154,153,153,151,149,149,149,148,147,146,145,144,144,158,103,171,166,140,144,148,152,154,155,157,158,158,159,159,158,156,157,155,156,155,153,152,151,149,149,145,150,139,112,176,166,147,151,155,159,161,161,164,164,163,164,164,164,163,162,161,160,158,158,156,155,153,151,151,147,156,176,159,166,152,157,162,165,167,169,170,169,171,169,169,169,168,167,166,165,164,163,162,159,159,156,153,152,153,135,110,167,157,163,168,171,172,174,175,175,175,174,175,176,174,174,173,172,171,169,168,165,164,162,158,156,156,144,137,170,163,168,173,176,178,180,180,180,181,180,181,181,180,179,177,176,177,175,174,172,170,167,164,161,159,156,156,172,167,173,178,180,183,184,185,185,184,184,184,184,184,182,182,180,180,180,178,176,174,172,169,167,164,162,165,182,173,178,182,185,188,189,192,195,198,194,193,193,192,191,191,191,189,186,183,180,178,176,173,172,169,165,166,186,179,184,187,191,195,193,185,162,142,159,167,171,171,168,164,161,172,180,187,189,188,184,179,175,174,167,169,188,182,188,194,194,191,188,177,133,72,93,128,146,137,137,135,125,114,123,132,130,151,162,177,183,176,180,179,188,188,192,190,187,186,180,171,133,98,99,106,121,119,124,127,117,92,107,113,105,117,121,154,152,188,139,142,194,186,185,185,192,190,185,172,129,86,101,106,114,109,112,122,112,92,87,93,104,111,117,147,125,165,23,94,213,191,192,192,198,195,187,165,125,66,77,98,119,129,121,126,109,108,99,109,122,101,104,105,123,132,47,40,133,197,193,192,198,190,182,164,107,70,87,94,105,104,105,107,106,100,90,104,120,108,109,108,131,150,117,39,22,196,197,194,195,197,187,185,134,61,59,55,42,82,105,91,87,86,94,102,109,100,96,93,93,114,85,40,28,201,195,191,198,188,178,195,146,58,48,55,40,75,148,207,204,210,208,180,110,40,42,42,38,39,31,30,31,192,184,182,185,168,170,171,122,68,58,62,62,48,31,173,193,119,84,41,16,15,8,7,25,22,24,29,28,184,184,176,170,163,160,160,120,62,47,63,76,71,53,41,22,4,10,27,26,14,18,13,12,17,14,26,29,177,173,166,162,161,161,175,135,57,25,9,51,62,47,45,26,18,5,21,34,15,4,15,14,12,20,15,0,162,157,164,163,162,160,158,128,58,32,21,28,55,66,71,28,15,16,0,23,29,8,0,8,12,27,0,0,152,144,144,139,134,132,115,85,60,47,39,24,0,23,32,0,0,27,6,1,20,27,4,0,1,1,0,0,140,124,106,98,94,91,88,65,53,37,6,34,0,0,12,15,0,13,20,1,6,19,21,0,0,0,0,0,123,116,91,85,74,97,104,36,6,21,0,20,17,0,0,22,3,0,19,15,2,3,18,11,0,0,0,0,88,91,97,110,155,185,53,31,5,13,0,0,27,0,0,14,19,0,5,19,7,1,0,13,0,0,0,0,80,201,210,227,231,87,16,38,19,0,1,0,15,7,0,1,22,2,0,9,12,1,0,1,5,0,0,0,23,152,139,153,103,18,30,14,3,7,0,0,0,20,0,0,15,11,1,3,4,1,0,0,3,0,0,0,1,95,93,75,42,23,17,15,0,7,0,0,0,19,0,0,4,17,3,3,0,0,0,0,0,0,0,0
16,224,225,226,227,226,226,227,228,229,228,227,228,229,229,229,227,228,229,230,231,229,229,231,230,230,230,230,227,225,225,226,227,228,228,228,230,229,229,228,230,231,229,232,234,234,233,229,231,231,231,231,232,230,230,230,229,226,226,227,229,229,228,228,230,230,231,232,232,229,229,211,207,203,218,240,234,231,231,231,230,230,231,230,230,226,227,227,229,229,229,229,230,229,228,222,216,231,242,203,183,176,153,177,227,238,232,231,231,232,232,231,230,226,227,228,229,229,231,231,231,232,227,206,210,245,244,220,204,189,160,124,132,187,233,236,230,232,232,231,231,226,228,229,230,232,230,226,214,249,243,214,226,249,236,224,214,191,147,143,125,117,147,222,239,230,233,232,232,229,229,229,230,229,241,225,219,241,237,221,230,249,223,213,205,184,133,143,133,127,119,135,220,240,233,234,233,229,230,230,231,228,251,239,221,234,233,231,224,237,210,207,195,170,131,132,126,127,130,117,129,229,237,234,234,228,228,230,230,229,236,235,219,231,239,236,227,234,214,205,188,155,128,123,120,123,128,128,109,157,245,235,235,227,228,230,231,237,228,234,233,226,238,238,230,245,227,208,179,144,123,113,117,125,127,123,122,115,224,240,235,228,229,227,238,237,226,235,246,232,232,237,232,244,230,205,168,137,116,100,117,127,130,131,122,111,207,241,232,228,229,228,232,235,234,229,241,230,232,242,239,239,228,195,154,130,95,95,117,128,134,140,126,117,225,237,233,229,230,230,230,234,243,236,242,247,206,244,247,236,231,193,142,106,65,93,111,121,140,137,126,125,231,235,235,232,231,231,230,234,243,248,219,225,218,233,246,239,232,185,133,82,58,85,100,116,150,131,120,135,235,236,236,230,230,231,230,231,231,252,210,187,232,230,238,244,230,179,126,83,60,70,90,127,159,130,117,155,241,236,237,228,229,231,230,231,223,224,250,231,213,227,240,249,225,176,119,95,83,70,94,154,162,132,116,159,242,235,237,233,233,235,235,236,235,213,226,238,223,227,242,252,221,171,118,106,112,98,115,181,181,146,112,156,242,237,237,188,193,197,200,203,209,203,203,228,209,205,229,250,218,162,117,115,119,104,131,198,205,175,115,159,246,234,237,134,136,136,135,138,140,140,142,173,151,139,209,251,218,153,117,122,125,115,143,198,213,199,142,135,209,249,255,142,142,141,139,139,139,138,137,136,142,124,201,254,221,144,145,135,128,122,149,193,212,215,182,154,238,255,255,140,142,141,140,140,142,142,142,143,146,130,186,255,223,140,197,162,143,133,133,180,203,214,199,161,230,255,255,140,140,139,142,141,141,141,141,143,145,134,162,248,221,145,220,186,159,151,129,142,192,198,185,129,199,255,235,139,139,139,141,141,142,141,142,144,146,138,150,255,215,154,241,208,179,166,149,121,142,176,151,155,215,208,232,139,139,138,140,141,141,141,141,142,144,140,146,255,179,185,253,221,195,181,161,135,118,130,114,206,246,182,210,138,140,139,140,140,140,141,143,143,143,142,144,173,176,245,248,228,205,190,171,143,123,126,106,211,255,227,193,138,140,140,141,140,138,140,143,142,142,141,143,126,204,255,248,235,211,196,179,151,124,127,109,207,255,247,232,139,140,140,141,140,138,138,141,141,141,142,143,133,192,247,245,239,217,198,183,158,128,125,108,189,255,242,221,138,138,140,144,140,138,138,140,140,141,141,143,134,190,244,244,237,217,199,185,163,134,127,111,179,255,252,203
11,135,137,139,140,142,142,143,143,143,143,141,141,139,140,139,138,136,135,133,133,132,131,129,127,126,125,124,121,137,139,140,142,143,145,144,145,144,143,144,142,141,142,143,141,139,138,136,135,134,133,131,129,127,127,125,122,137,140,143,143,145,146,146,146,146,146,145,143,142,142,130,140,142,139,138,137,134,134,133,132,129,128,127,125,140,142,144,146,148,147,147,148,148,148,147,147,144,158,103,92,149,139,140,140,137,135,135,133,131,129,128,127,141,143,146,148,149,149,148,148,149,149,149,148,147,162,108,65,146,142,142,142,140,138,137,136,134,131,129,128,143,145,147,149,150,150,150,151,151,151,150,149,149,157,106,69,143,144,142,143,141,140,138,136,135,133,131,129,145,147,149,149,151,153,153,153,153,153,152,150,149,170,120,73,141,148,143,144,142,142,140,138,136,134,132,131,146,150,150,152,154,154,155,155,154,153,153,152,153,177,128,71,135,151,144,144,143,142,141,138,137,134,133,132,148,150,151,154,155,155,155,156,155,155,154,152,158,171,115,65,136,151,146,146,145,143,142,139,138,137,136,134,149,150,153,155,155,155,156,156,156,155,158,156,163,163,112,62,141,152,147,147,146,146,144,142,139,138,135,134,149,153,155,157,156,157,158,161,163,157,132,119,169,159,114,70,147,151,149,149,148,147,146,143,141,138,135,135,153,155,156,157,159,164,160,142,136,152,113,59,126,139,91,71,155,152,149,150,149,148,146,144,143,140,138,135,154,156,158,158,148,137,162,117,62,94,128,74,46,70,49,78,165,154,152,150,149,149,147,144,143,142,140,136,154,157,159,167,142,69,115,131,60,79,130,73,31,45,35,110,165,153,154,152,151,151,150,148,143,142,141,139,157,158,164,174,155,87,81,142,66,78,114,62,33,44,34,119,164,154,155,151,148,142,133,138,149,145,141,139,159,158,179,184,158,96,57,118,59,62,101,55,30,34,26,117,167,155,155,144,141,124,104,95,100,140,142,139,157,165,182,164,147,101,39,82,54,74,110,68,25,30,30,124,164,154,166,149,118,90,68,64,38,105,151,139,158,166,191,164,145,93,36,98,60,89,155,91,35,41,43,105,156,158,144,91,40,49,83,100,90,130,149,142,160,170,195,178,133,76,53,135,97,91,187,89,33,60,86,114,150,143,91,32,71,149,160,158,157,151,144,142,159,172,195,168,124,124,77,149,161,49,99,71,66,103,95,110,117,86,34,88,166,158,153,151,148,147,146,143,159,171,191,167,142,128,75,119,113,49,112,140,123,108,83,85,72,30,86,171,158,157,156,153,151,149,148,146,162,169,186,175,156,130,135,145,150,139,134,125,112,99,78,58,31,67,165,161,159,158,156,154,152,150,149,147,161,166,180,171,154,131,120,132,151,140,126,117,97,92,67,27,79,162,164,161,160,159,156,155,153,152,149,148,175,175,175,169,144,111,101,121,129,121,116,98,91,77,31,96,174,166,164,163,162,159,156,155,154,153,150,148,53,112,169,149,123,96,116,125,121,110,98,86,60,39,111,177,164,164,163,162,162,159,157,155,154,152,149,148,9,24,136,150,143,141,129,116,112,89,65,30,69,147,175,166,166,164,163,162,161,159,158,155,153,150,148,147,32,26,37,105,140,135,116,103,93,67,25,64,180,175,167,168,167,166,164,163,161,160,158,156,155,152,149,149,23,25,19,25,65,83,90,82,63,37,16,145,178,168,170,169,168,167,166,163,161,161,158,157,155,152,151,140
24,86,94,100,104,107,111,113,115,118,121,122,125,128,129,131,132,133,134,136,137,139,140,141,140,141,141,140,141,88,95,101,105,109,112,114,117,120,122,124,128,129,131,132,134,136,137,139,141,141,142,142,141,141,141,142,142,90,97,103,106,110,113,115,118,122,123,126,129,132,133,134,136,136,138,141,142,142,142,142,142,143,143,143,144,91,97,104,109,111,115,116,119,122,125,127,130,133,134,135,137,138,141,142,142,143,144,145,143,145,146,145,146,93,99,105,110,113,115,118,120,124,127,130,131,133,134,135,138,140,141,141,144,145,147,147,146,147,146,146,147,95,100,106,111,114,123,111,122,124,128,130,133,134,135,138,140,141,142,143,145,146,147,146,147,148,148,148,147,94,101,107,108,132,129,75,120,127,129,131,135,136,138,141,141,143,144,146,146,146,147,148,149,149,150,149,151,96,103,108,110,150,101,73,124,127,131,133,135,138,139,141,141,144,146,146,149,152,152,149,149,151,152,151,151,98,106,106,125,151,81,87,130,127,133,137,137,139,143,144,144,144,147,147,138,116,129,153,151,152,152,152,152,98,107,102,145,141,69,104,131,132,128,120,137,137,120,133,149,146,150,123,89,68,76,152,154,153,153,154,154,99,107,108,165,121,99,116,116,151,130,84,114,138,109,88,133,155,139,92,63,64,114,156,153,154,155,155,154,102,105,117,168,121,163,128,106,150,127,75,119,128,111,74,93,169,122,77,62,134,160,154,155,156,156,155,155,102,102,134,165,154,171,137,106,144,117,67,114,118,92,61,126,149,102,64,99,166,152,156,157,157,156,156,157,104,101,146,164,152,189,137,100,138,111,60,50,100,95,102,138,108,78,63,145,158,157,158,158,158,158,158,158,106,102,155,178,148,178,130,87,143,96,77,90,128,133,117,111,99,61,96,165,157,160,160,159,159,159,159,159,103,113,166,165,144,159,115,73,138,144,153,157,136,114,97,86,89,61,135,165,158,160,160,160,161,160,160,161,97,139,147,132,119,135,124,99,164,182,165,148,127,105,84,77,73,74,160,161,161,161,161,162,163,162,162,162,103,169,150,127,109,109,126,171,187,173,164,150,120,95,76,74,59,109,170,161,163,163,163,163,163,163,163,163,125,187,151,132,120,99,127,193,174,163,153,130,108,86,70,68,54,140,167,163,164,164,165,165,164,164,164,164,157,190,152,144,135,145,177,184,166,149,139,116,93,78,69,66,59,150,168,164,164,164,165,166,166,166,166,165,176,191,161,152,144,167,178,164,149,134,126,104,84,74,69,61,77,166,164,165,166,166,166,168,167,167,167,166,180,200,170,154,142,156,165,153,143,122,118,94,78,67,65,53,127,170,164,166,166,167,167,169,169,167,167,168,168,205,174,162,147,151,162,157,137,121,112,87,72,62,46,97,169,165,166,167,168,168,168,169,169,169,169,169,146,196,169,156,156,147,146,151,128,108,98,80,59,49,104,161,164,165,167,168,170,170,170,169,169,170,171,171,133,179,172,160,161,147,131,144,127,104,90,68,43,104,169,163,165,167,168,169,169,171,171,170,171,172,171,172,124,176,173,161,150,145,124,136,122,103,86,51,69,158,161,163,166,168,168,169,170,171,171,171,172,172,173,172,125,183,176,154,137,144,124,125,117,98,85,49,104,168,161,165,167,168,169,171,171,171,171,172,172,173,174,173,131,183,176,147,128,147,121,117,118,95,79,53,112,167,160,165,168,168,170,171,172,172,173,173,173,174,174,174
10,125,126,126,126,127,128,128,129,128,127,127,128,127,126,125,124,122,122,120,120,120,117,116,115,114,113,111,112,130,130,130,131,131,131,131,132,131,131,130,130,130,129,127,126,125,124,126,117,116,120,118,116,115,115,113,112,135,134,135,136,136,136,137,137,136,136,135,134,133,132,131,129,129,123,148,116,81,125,119,117,117,116,116,114,139,139,139,140,141,140,140,140,140,140,139,138,138,136,134,133,132,128,153,123,69,122,122,121,120,118,117,115,144,144,144,144,144,145,144,143,144,144,143,142,142,140,138,137,136,133,155,122,67,121,128,123,122,120,118,117,148,148,148,148,149,149,147,148,148,149,148,147,145,144,143,141,140,137,156,113,63,123,132,127,125,124,122,121,152,153,152,152,154,153,152,152,153,153,152,150,149,148,146,145,144,141,161,127,67,125,137,131,129,128,125,122,156,157,157,157,157,157,157,156,157,157,157,155,153,152,150,149,147,147,167,121,99,128,139,134,132,130,128,125,158,158,160,160,160,161,160,160,160,161,160,158,158,156,154,153,150,161,163,143,123,93,147,137,135,133,131,129,161,162,162,164,164,163,163,163,163,164,163,162,161,160,158,157,151,138,143,161,113,63,148,140,138,136,134,132,164,165,165,166,166,165,166,165,166,166,165,165,163,163,162,161,159,137,115,126,127,53,105,155,140,140,137,135,167,167,167,168,168,168,168,167,169,169,168,167,165,165,161,157,173,170,136,96,87,81,49,134,149,143,139,139,170,169,170,171,172,172,171,172,172,172,172,172,173,170,142,111,105,144,152,147,103,71,54,86,158,143,143,143,172,172,173,174,173,173,174,174,173,174,174,156,131,158,161,130,72,34,139,156,88,50,43,88,160,147,146,145,175,175,176,176,177,176,175,176,176,174,173,155,118,105,174,154,109,24,33,75,81,61,39,100,164,149,150,147,177,177,177,177,179,178,177,177,178,176,171,171,159,112,135,175,123,66,22,32,134,101,42,107,165,153,151,148,178,178,179,179,179,179,179,180,179,177,147,139,165,133,89,156,133,81,35,60,134,131,52,105,169,155,154,151,179,180,180,180,181,181,181,182,179,178,158,102,122,126,47,102,142,75,41,71,124,131,51,97,170,155,155,153,181,182,182,183,183,183,183,183,182,171,148,107,86,108,59,67,145,117,62,80,123,95,42,110,171,157,157,154,184,184,184,184,184,185,184,185,182,174,170,146,92,97,96,66,129,153,89,69,106,66,43,144,168,160,158,156,184,185,184,185,186,186,185,186,183,177,184,156,117,97,94,81,136,137,75,58,92,56,61,170,163,162,160,159,185,186,185,185,186,186,186,186,187,174,184,171,138,109,102,123,180,161,107,83,85,48,95,179,164,163,162,160,187,187,187,187,188,189,189,190,190,175,171,171,148,122,114,133,177,173,145,106,81,41,128,179,165,165,162,160,187,187,188,189,189,190,191,191,192,179,162,168,155,144,127,132,171,164,128,93,70,48,160,174,168,166,164,161,186,186,187,187,188,190,190,190,191,188,161,160,163,159,133,122,160,144,114,83,48,78,182,170,170,167,165,163,186,187,187,188,188,190,191,191,190,193,170,147,159,151,132,109,133,125,96,72,31,128,181,168,169,166,164,162,187,188,189,190,190,191,192,192,191,192,188,157,153,143,128,108,114,125,95,54,61,174,172,170,168,166,164,166,188,189,190,191,191,192,192,192,193,193,188,171,154,137,129,119,109,121,91,40,122,186,171,171,169,166,167,130
6,198,200,203,205,206,205,205,206,206,208,208,208,209,208,208,209,208,207,206,203,203,201,201,200,196,195,194,193,201,202,203,206,206,207,208,207,207,209,211,210,210,209,210,210,209,209,208,206,204,205,203,201,200,198,198,198,203,202,205,206,208,209,210,209,210,210,210,209,208,211,213,213,211,211,210,210,209,208,205,204,203,200,200,200,204,206,208,209,210,212,212,210,210,210,211,211,211,213,213,212,211,211,210,209,209,209,207,207,205,203,203,200,208,209,210,210,212,212,212,213,213,212,213,214,214,215,215,216,215,215,214,213,211,210,207,208,206,204,202,200,209,210,211,213,214,213,215,215,216,216,216,216,215,215,216,216,217,217,216,215,212,212,211,210,209,209,206,205,210,211,214,215,216,217,218,218,216,216,218,219,218,218,219,219,218,219,217,216,214,213,211,209,209,207,206,207,211,214,215,215,216,219,220,220,219,219,220,221,220,220,219,220,219,220,220,220,216,214,215,213,211,210,209,209,213,216,217,217,217,220,220,220,220,220,222,222,219,220,221,220,219,218,218,218,216,214,214,213,210,210,207,208,217,217,219,218,219,220,220,223,225,229,229,224,211,189,202,215,217,212,213,213,213,204,207,204,201,209,191,236,215,217,220,222,224,226,226,227,221,219,220,218,208,178,145,189,210,214,214,213,196,200,198,197,197,200,185,198,222,226,226,223,219,219,219,216,208,209,214,214,221,206,126,115,134,149,151,154,157,151,149,154,154,156,159,164,241,236,225,211,209,210,209,204,196,198,196,188,183,160,125,111,91,92,146,162,177,184,192,203,210,209,211,219,238,233,224,209,202,196,187,187,190,187,179,176,180,150,111,111,121,114,166,236,235,230,229,228,225,222,223,215,235,227,220,207,194,184,183,184,185,185,186,196,215,189,116,88,104,129,108,136,217,228,224,226,224,227,205,132,228,221,212,204,190,178,170,169,177,186,195,197,194,176,132,113,106,109,123,108,136,231,228,228,224,231,133,99,221,214,210,210,196,182,173,168,172,176,185,204,183,142,134,136,131,117,106,110,114,220,228,223,232,208,108,108,217,208,208,206,197,189,181,175,176,172,171,188,198,152,102,109,144,145,126,93,147,238,228,239,203,116,96,76,207,203,201,199,197,194,186,178,179,179,181,198,191,146,115,97,110,137,146,114,143,226,182,167,119,83,79,59,131,147,171,195,202,204,197,187,182,178,177,193,191,150,125,133,124,107,117,126,118,125,101,90,79,70,56,50,31,37,65,130,206,204,198,192,187,181,174,166,170,153,151,153,141,128,117,93,86,87,100,94,79,67,49,42,27,18,11,16,109,196,174,160,155,150,149,133,129,112,113,142,148,147,128,86,46,62,81,72,68,65,59,45,17,11,12,13,4,76,172,175,182,190,200,215,127,72,77,100,136,127,108,92,51,39,64,64,57,59,66,51,10,4,1,0,0,152,226,224,230,233,234,239,208,152,145,133,128,69,96,90,47,30,37,57,52,50,61,58,5,0,0,0,29,136,121,125,126,127,132,134,142,146,145,143,111,48,87,88,42,22,27,42,44,46,55,58,0,0,0,0,20,106,100,100,101,100,103,105,100,96,121,129,92,35,80,77,36,17,30,32,37,39,47,52,1,0,1,0,24,124,113,114,114,114,109,110,115,123,105,91,78,36,68,65,33,13,22,31,31,33,39,46,9,7,0,0,56,124,112,113,115,117,112,112,112,97,79,62,61,44,56,60,29,16,16,25,25,29,33,41
7,207,207,206,207,207,207,207,207,206,206,205,204,203,202,201,201,200,199,197,196,193,192,191,188,187,185,183,181,209,208,208,208,209,209,209,208,208,207,208,207,206,205,204,202,201,199,199,198,196,194,193,191,189,187,186,183,209,209,210,210,210,210,211,211,210,209,210,209,208,207,206,204,203,202,201,200,198,196,194,193,192,190,188,186,211,211,212,212,212,212,212,213,212,212,211,210,210,209,207,206,206,204,203,202,201,199,197,196,194,193,190,188,212,213,213,214,214,214,213,214,214,214,213,211,211,210,209,208,207,205,203,199,193,184,181,182,185,194,193,191,214,215,215,215,214,215,214,215,215,216,215,214,213,209,204,193,178,167,160,162,150,136,156,176,158,187,195,192,216,216,216,216,216,216,216,216,214,208,202,193,180,166,155,150,135,125,134,129,124,120,134,147,139,186,196,193,217,217,217,217,218,217,210,190,169,157,150,151,148,143,139,132,121,109,112,103,104,97,88,106,137,161,183,195,219,218,218,219,218,204,181,160,134,132,138,134,134,131,128,116,113,115,107,102,107,100,96,92,86,102,129,187,218,218,219,215,196,181,176,157,125,115,111,109,113,119,127,133,137,135,109,91,104,96,86,80,72,92,107,179,218,219,209,186,176,177,172,158,142,128,125,129,139,145,142,141,131,120,95,76,82,77,75,80,84,102,142,193,220,209,182,172,174,172,167,164,157,143,139,135,137,132,122,118,107,95,83,90,118,142,161,175,186,192,198,200,210,183,173,173,174,170,171,167,149,115,97,101,102,91,85,110,130,147,168,191,207,211,210,209,207,205,202,201,184,179,177,177,175,173,167,151,127,84,72,75,66,60,58,114,201,218,218,217,214,211,210,209,208,206,202,201,179,182,180,177,175,165,146,136,114,85,70,56,51,51,49,50,145,220,217,215,213,212,210,209,207,205,203,202,180,181,179,180,170,152,139,132,126,124,101,61,51,52,49,71,171,217,215,214,212,211,208,207,206,204,203,197,176,179,183,178,158,138,130,126,133,137,102,59,51,47,68,165,217,217,215,214,213,212,209,208,207,203,181,126,177,181,178,161,135,120,118,115,118,109,74,51,44,38,114,220,219,218,216,215,214,213,210,198,172,130,89,65,176,173,158,137,125,122,120,108,100,89,71,55,49,46,123,221,219,219,218,217,215,184,143,106,77,61,54,55,167,152,136,132,128,123,113,92,81,86,85,62,51,91,195,222,215,196,186,181,150,96,69,55,53,52,53,55,145,135,132,125,113,98,83,77,83,95,83,57,75,159,182,167,128,86,78,73,65,57,61,52,42,46,52,55,136,134,122,103,91,86,83,83,82,76,64,77,94,97,90,82,54,44,53,43,50,45,47,48,31,38,47,53,134,126,108,99,97,93,84,74,69,70,94,103,86,74,67,62,54,32,45,38,40,39,38,38,26,32,42,50,117,99,89,87,85,81,73,72,86,104,105,86,69,61,54,49,45,32,32,37,32,34,34,30,21,27,41,47,77,64,72,77,82,85,91,104,113,103,72,61,57,52,44,45,40,35,21,32,28,30,32,25,21,29,39,45,52,84,108,113,118,115,113,113,105,79,56,43,48,49,38,40,35,34,16,24,28,27,32,22,22,31,37,42,64,111,118,117,121,115,112,106,85,52,44,38,38,44,32,33,27,30,18,17,27,27,31,20,25,31,37,41,77,115,119,116,117,114,108,91,62,34,43,40,29,39,27,30,21,28,24,13,24,27,29,20,28,31,37,38
2,200,203,206,207,207,208,209,210,210,209,209,209,208,208,208,207,207,208,209,206,201,200,199,198,197,196,194,192,203,204,207,208,208,210,211,212,211,212,212,212,214,214,212,210,208,203,195,202,210,204,201,199,198,196,195,194,204,205,208,209,209,211,211,213,212,213,213,201,179,180,187,185,174,167,152,132,166,200,207,204,199,198,196,195,205,207,210,211,211,211,212,213,213,214,214,194,170,168,173,175,167,155,147,122,106,140,166,185,204,199,199,197,206,209,210,211,213,213,215,214,215,217,203,183,186,185,184,181,170,146,127,131,136,131,135,144,204,199,199,197,206,209,210,212,214,214,215,215,217,213,185,177,190,191,181,173,169,147,138,144,158,155,125,134,205,201,199,198,207,209,211,213,214,214,215,216,217,210,193,186,180,167,156,176,186,126,110,128,136,130,122,179,208,202,200,199,209,210,213,214,215,216,216,217,218,210,188,188,181,167,159,156,131,144,193,170,151,158,203,211,203,203,201,200,209,212,212,214,215,217,218,218,217,208,205,193,174,154,131,127,146,206,221,219,217,215,209,209,210,210,206,200,210,212,212,214,218,218,218,218,199,199,195,176,146,94,150,216,220,218,213,212,212,209,213,197,163,148,185,205,210,212,214,215,217,217,219,215,192,190,175,147,103,68,156,231,216,218,217,214,212,215,197,140,112,105,134,207,210,213,215,217,217,219,218,208,185,174,145,103,86,84,146,228,216,219,217,214,217,201,149,120,115,109,129,209,211,214,214,216,219,220,214,207,193,166,111,82,93,86,159,229,216,219,215,218,206,151,125,125,116,99,170,211,212,214,216,216,218,219,214,209,192,165,114,84,96,86,145,235,217,217,219,220,158,110,112,118,104,127,211,203,212,214,217,218,219,219,216,209,189,160,108,88,96,90,89,182,224,226,219,175,126,99,101,105,102,194,210,204,213,215,217,219,220,219,213,207,188,149,104,101,97,92,92,93,135,187,152,120,115,116,101,100,182,214,206,206,213,215,218,219,221,219,213,208,187,148,118,108,95,94,98,102,99,105,101,102,112,111,105,188,218,210,208,206,213,214,218,219,221,219,212,205,187,157,124,106,94,94,95,102,108,111,105,107,114,102,185,220,210,211,209,206,212,215,218,219,221,219,207,199,187,155,128,111,93,94,96,101,107,113,111,105,93,159,226,211,212,211,209,206,212,215,218,219,221,219,204,196,183,154,136,111,90,94,98,102,107,114,118,101,114,215,217,213,211,211,209,207,213,215,218,219,221,217,204,196,179,157,134,110,93,93,99,104,109,113,115,96,189,224,214,215,213,211,211,209,213,216,219,219,222,216,200,202,190,157,132,116,94,92,100,106,111,116,102,117,224,218,218,216,214,212,211,209,213,215,218,219,223,212,199,211,194,155,131,116,96,91,102,108,112,115,87,174,227,216,216,215,213,211,210,208,211,213,216,217,220,208,202,210,187,153,130,118,99,88,103,109,112,94,119,223,217,216,215,213,212,210,208,208,210,212,214,216,219,205,203,203,180,147,128,119,101,90,102,108,100,93,199,223,216,215,214,213,212,210,207,206,210,212,213,215,219,205,201,196,171,145,131,119,103,91,101,102,85,177,226,215,217,215,213,212,211,209,207,205,210,212,213,215,217,202,197,184,161,142,128,115,100,92,93,93,171,228,217,218,216,214,213,213,211,208,207,206,208,210,213,215,215,201,188,177,156,136,125,113,102,89,100,194,226,218,218,217,214,213,211,210,209,207,206,204
7,167,167,167,167,167,167,167,166,166,165,165,163,162,162,160,159,159,158,156,154,153,152,150,148,147,145,143,141,169,168,169,168,168,169,168,168,168,167,167,166,165,164,163,162,161,161,159,156,155,154,153,151,149,147,144,143,169,169,169,170,171,170,170,170,169,169,169,168,167,166,165,163,162,162,160,158,157,155,155,153,150,150,147,146,170,171,171,171,173,172,172,172,171,171,170,170,168,168,166,164,165,163,163,164,162,160,159,154,153,152,149,148,173,173,173,173,173,173,174,175,173,172,170,170,170,172,171,171,168,163,156,148,147,144,153,159,155,154,151,149,174,174,174,174,174,173,173,174,173,175,176,176,171,159,150,136,133,130,111,105,149,142,121,159,157,156,154,151,175,175,175,175,176,177,179,180,177,169,157,142,129,120,98,109,110,100,98,98,121,108,117,169,160,157,155,152,175,176,176,177,178,170,157,143,136,127,118,110,112,105,90,91,86,75,81,66,58,88,117,117,148,160,156,154,176,177,179,171,144,120,111,112,116,120,118,112,102,82,85,79,77,81,82,78,77,68,59,80,95,159,158,155,178,181,169,144,134,109,97,108,98,93,89,88,91,98,111,103,73,85,92,73,69,56,51,70,73,155,161,157,179,162,145,146,135,105,88,79,76,86,100,115,122,117,107,92,59,62,62,43,44,45,53,73,122,165,160,158,152,139,144,142,132,124,115,117,118,124,128,115,109,99,90,64,43,51,75,100,125,143,159,169,169,163,162,159,137,140,143,138,136,132,117,108,99,101,97,82,77,74,70,82,113,150,174,180,179,174,170,167,165,163,162,160,140,145,140,140,141,123,88,59,68,67,53,42,33,70,168,184,184,182,175,173,171,170,169,169,167,164,161,160,146,145,143,138,119,104,61,42,49,35,28,27,28,21,76,182,175,177,176,175,174,172,169,169,168,165,161,159,144,146,138,116,108,96,69,60,40,29,30,28,30,16,66,177,178,175,175,174,173,169,169,168,166,163,164,167,146,144,127,114,106,102,108,106,59,31,34,36,22,73,177,178,178,176,174,173,172,169,167,165,164,169,153,115,147,138,116,103,99,102,113,95,44,30,27,13,54,182,182,179,179,176,175,174,172,170,171,174,164,134,63,30,138,113,90,91,89,89,90,59,34,24,22,22,45,186,178,179,176,174,174,173,178,175,151,113,69,36,31,26,112,98,95,98,91,79,69,55,48,31,33,16,92,186,177,180,186,184,183,181,130,77,50,33,28,29,32,23,102,104,103,99,79,55,57,74,63,34,23,94,192,186,187,175,134,122,120,87,45,38,28,29,29,30,31,19,104,96,81,62,50,53,69,77,48,27,59,127,128,117,104,63,30,31,24,29,27,34,32,12,22,29,31,19,87,68,60,60,61,61,57,40,34,67,78,63,51,48,48,26,14,32,18,29,21,19,25,6,13,24,30,14,77,73,75,69,57,47,41,46,80,97,75,57,47,41,33,33,7,20,17,15,17,17,17,3,8,20,26,7,65,62,59,53,44,47,68,88,87,70,52,39,34,27,25,22,13,4,18,8,13,13,10,2,8,19,23,4,43,50,56,60,71,82,87,85,74,37,29,32,29,18,22,18,16,0,9,6,7,13,6,2,11,16,22,1,82,87,90,95,88,83,83,75,44,29,16,22,26,15,16,11,13,0,0,7,4,14,4,2,11,15,19,0,87,89,86,89,84,83,76,54,20,20,17,12,24,8,10,4,9,1,0,5,5,13,1,6,11,17,18,0
4,173,174,175,175,176,175,174,174,175,174,173,173,173,172,171,170,169,168,168,167,167,166,166,165,164,162,161,161,175,176,176,177,177,177,176,176,176,175,175,176,172,172,176,173,163,157,161,168,169,168,167,166,165,164,163,162,177,178,179,179,180,180,179,178,177,176,183,183,168,153,166,184,167,135,128,159,168,168,168,167,167,165,164,164,180,180,181,181,181,181,182,184,177,159,168,183,162,123,115,157,158,118,92,118,142,150,161,168,168,166,166,165,181,181,182,182,182,183,195,197,171,132,118,157,148,106,84,122,134,101,76,77,103,108,124,162,169,167,167,167,182,183,182,183,184,189,209,204,167,130,99,138,143,107,74,101,124,101,74,74,93,85,90,152,171,170,168,168,184,184,184,185,185,194,211,203,180,162,111,123,159,133,75,90,137,121,82,85,104,87,85,149,172,171,170,169,185,185,185,186,187,196,211,197,191,181,121,110,164,140,76,82,139,126,80,94,133,111,98,153,174,173,171,170,186,186,187,187,188,195,214,204,188,161,111,95,128,114,78,80,116,114,71,94,149,125,115,163,175,174,172,172,187,188,188,189,188,200,224,216,192,161,127,106,96,91,90,107,139,136,91,89,121,110,132,172,177,175,174,173,189,189,190,191,191,209,227,209,181,159,144,137,124,128,137,150,169,145,109,88,85,86,145,178,178,176,175,174,190,191,191,192,193,216,222,194,163,143,149,177,167,170,177,167,165,143,123,98,80,87,153,179,179,178,177,176,191,193,193,193,198,223,221,193,165,142,144,175,171,171,177,167,157,154,143,110,78,83,152,180,179,179,178,176,193,195,195,194,203,230,223,196,168,141,127,137,140,142,151,140,142,168,163,124,85,80,148,181,181,180,179,178,195,196,196,196,209,232,221,197,164,134,119,111,102,111,136,126,135,177,176,135,96,81,142,182,182,181,180,179,197,198,197,198,215,232,221,195,158,132,126,116,107,135,176,173,160,181,182,139,104,83,135,182,183,182,181,180,198,199,199,199,218,232,219,190,156,138,134,122,128,182,209,201,183,175,172,141,111,88,129,182,185,183,182,181,199,200,200,201,221,230,211,178,158,147,136,127,166,213,220,204,183,168,151,130,108,92,136,183,186,184,183,182,201,201,201,204,224,227,203,178,170,150,130,145,202,225,219,199,174,155,136,114,97,94,155,186,186,185,183,182,202,202,202,204,225,224,201,186,177,147,133,173,220,222,208,188,165,143,124,102,85,106,172,188,187,186,184,183,203,204,197,170,198,218,202,190,178,146,152,195,221,211,194,178,157,133,112,91,82,136,185,189,189,187,185,185,205,202,168,108,126,182,196,190,172,140,158,197,211,197,182,167,145,120,99,82,103,170,191,191,190,189,187,186,205,181,118,81,81,110,154,170,152,129,146,185,195,181,167,152,130,106,86,86,146,190,193,193,192,191,189,187,190,135,86,75,73,74,92,115,116,110,130,161,173,162,148,133,113,90,78,120,182,195,195,194,193,192,190,188,140,97,80,72,68,69,69,71,75,89,112,135,147,138,125,109,92,76,99,169,196,197,196,195,194,193,190,189,92,82,77,69,65,65,65,65,57,60,81,100,112,104,91,80,72,90,154,195,199,199,198,197,195,193,192,191,81,77,70,66,63,62,62,63,57,37,42,55,66,64,55,52,76,147,194,200,200,200,199,198,196,194,193,192,77,72,67,65,61,60,58,60,60,37,25,33,37,38,35,36,100,187,203,202,201,201,200,199,197,195,194,193
15,57,66,78,84,86,89,95,102,107,112,115,119,122,125,129,132,135,138,142,144,146,148,149,150,151,153,154,155,58,68,78,85,86,88,96,104,109,113,116,120,123,127,131,134,136,140,143,144,146,148,151,150,152,154,155,155,61,69,78,84,87,89,97,104,109,114,118,121,124,128,132,135,137,140,143,146,148,150,151,152,154,156,156,157,61,70,81,84,88,92,99,104,110,116,121,123,126,129,133,135,139,142,145,148,150,151,153,156,156,157,157,158,62,72,80,87,87,91,98,103,110,114,119,123,128,131,136,138,141,143,146,148,149,151,155,155,157,158,159,160,62,70,90,118,95,93,101,100,107,116,117,116,114,119,123,133,141,144,148,151,154,155,154,155,158,160,161,161,64,72,94,118,90,84,93,98,114,120,125,129,132,125,115,116,117,125,137,134,137,148,161,158,156,160,160,162,66,75,86,81,58,63,73,81,102,115,121,140,148,132,130,128,135,134,129,136,116,102,117,155,162,158,163,162,66,77,85,87,90,93,89,86,91,100,103,123,147,151,147,145,146,154,145,133,146,125,79,71,145,168,161,163,68,77,84,88,92,99,108,114,118,119,118,113,107,121,144,167,147,119,151,120,129,152,81,70,62,148,169,163,67,77,86,89,91,97,104,111,116,119,129,130,89,72,79,101,135,109,111,105,128,163,68,81,96,68,157,165,67,77,85,87,91,98,104,110,116,114,155,128,82,70,73,89,122,113,73,73,110,133,76,74,124,76,77,175,68,78,85,88,91,99,105,111,116,115,169,130,64,74,95,116,132,112,82,79,78,75,79,91,105,81,33,116,68,80,86,87,92,99,106,112,116,124,161,171,105,92,107,118,122,100,84,84,84,80,80,96,108,80,36,37,68,80,86,88,93,99,106,113,111,149,169,166,168,132,80,64,75,71,65,69,79,88,96,106,111,92,47,32,69,81,87,88,92,100,106,114,116,147,175,161,156,161,131,62,11,24,17,24,45,76,104,102,96,82,49,42,70,80,87,90,92,100,106,114,118,128,166,173,143,139,165,130,17,2,1,6,8,34,88,95,85,73,57,52,68,80,85,88,92,99,106,113,116,123,156,161,155,127,154,99,25,6,2,13,5,30,93,106,102,94,83,67,68,76,82,86,90,96,102,110,112,138,172,154,136,126,123,63,24,8,5,15,12,26,80,104,108,104,96,79,43,47,51,53,56,58,59,64,68,78,147,176,151,109,106,100,30,8,14,14,26,34,51,82,95,98,94,80,43,45,47,46,48,49,49,47,47,45,73,113,122,119,106,98,54,18,16,15,26,38,41,61,79,86,86,76,49,49,50,52,53,54,56,55,55,60,59,57,62,69,62,60,59,26,18,11,19,38,45,51,79,85,80,69,50,50,49,51,52,54,55,55,55,58,60,60,60,59,70,70,79,56,44,40,42,51,50,47,75,82,74,65,51,51,52,52,52,53,54,54,55,57,57,57,59,58,59,84,102,100,108,95,78,97,97,83,83,86,71,60,49,51,52,54,53,53,55,56,55,58,59,58,58,60,60,55,62,101,122,105,124,138,137,132,113,103,85,58,49,50,50,51,52,54,56,56,57,57,60,61,59,59,61,63,59,64,75,95,134,152,142,135,118,95,79,66,49,49,50,51,51,54,55,55,56,57,59,60,59,60,59,62,61,60,59,65,82,97,120,102,88,77,73,87,49,49,50,51,52,54,55,55,56,57,57,57,58,58,59,60,62,62,63,61,58,59,89,75,84,99,96,80
17,147,150,151,153,155,156,157,158,159,159,161,161,163,164,166,166,167,168,168,168,169,170,170,169,170,171,171,171,148,150,152,154,155,156,157,159,161,161,162,163,164,165,167,168,169,170,170,170,170,171,170,170,171,171,172,171,148,150,152,154,156,157,158,159,162,162,164,165,165,166,168,169,170,170,170,171,169,172,172,172,172,172,173,173,148,150,153,156,158,158,159,161,162,163,164,167,168,168,169,171,171,165,146,154,134,152,174,174,174,173,173,174,150,151,153,156,158,159,161,162,164,165,166,167,168,170,171,172,173,174,140,106,107,125,174,175,175,174,174,174,150,152,155,157,159,161,162,163,165,167,168,169,169,170,172,172,172,189,152,107,87,131,175,175,176,176,175,174,151,154,156,158,159,162,163,164,166,167,167,169,170,171,172,173,173,189,163,121,80,144,177,176,177,176,175,175,152,154,156,158,161,163,164,165,166,167,169,171,172,172,173,174,174,191,174,136,91,164,177,177,177,177,176,175,153,156,157,159,160,163,164,166,167,167,169,171,162,154,173,175,175,194,175,141,106,174,178,178,177,178,178,177,154,156,158,160,162,164,165,167,169,169,170,174,164,130,143,174,178,196,171,139,110,176,179,179,179,179,179,178,154,157,159,160,162,164,166,167,168,166,166,179,167,149,131,147,163,185,171,139,108,175,180,180,180,179,180,179,156,158,159,161,163,164,165,171,177,154,128,161,181,177,174,144,108,139,157,139,109,174,180,181,181,181,179,179,155,157,159,163,164,166,164,183,182,152,123,156,162,181,187,163,121,101,133,128,106,170,181,181,182,181,180,180,155,158,161,163,165,166,167,182,156,164,146,139,128,133,190,182,144,96,107,112,99,168,182,183,182,180,180,181,156,159,161,164,165,167,169,185,148,135,128,98,90,83,185,193,162,109,92,96,94,164,182,183,183,182,182,182,157,159,162,164,166,168,175,175,141,124,127,104,99,103,168,203,175,129,91,94,92,157,183,182,183,183,183,182,157,159,162,165,167,167,181,179,162,144,136,118,123,135,154,208,178,141,98,93,94,150,183,183,183,184,184,183,157,160,162,165,167,167,189,174,149,140,134,127,142,154,181,194,176,148,107,87,88,151,184,185,184,184,184,183,158,159,162,165,169,170,190,162,143,134,132,139,146,187,207,182,164,147,106,82,81,150,184,185,186,184,184,184,158,160,163,166,169,174,194,166,149,136,135,144,164,210,203,182,156,137,104,81,81,158,184,184,185,184,184,184,158,161,165,167,169,179,197,171,155,139,137,150,191,207,194,177,149,131,100,83,84,174,183,184,185,185,184,184,159,163,165,167,168,184,198,175,162,147,138,164,207,203,190,171,139,126,96,83,104,184,185,185,185,185,185,183,160,162,167,168,168,190,199,178,169,160,142,173,210,196,185,169,136,116,93,81,141,185,186,185,185,185,184,183,161,164,167,169,168,191,204,182,177,171,154,173,202,187,179,166,136,107,91,89,174,186,186,186,185,185,185,184,161,164,167,168,168,185,207,188,181,174,163,164,196,182,178,160,133,103,87,118,186,186,186,185,185,185,185,185,160,164,166,169,170,178,206,192,180,170,166,166,184,174,179,165,129,101,84,138,187,185,186,185,185,186,186,185,161,164,166,168,172,174,204,189,177,166,164,169,176,167,180,167,129,100,85,158,187,186,186,186,186,186,186,186,162,164,167,169,171,174,202,183,176,165,161,167,174,164,179,159,124,101,95,180,187,187,187,187,187,186,186,186
18,152,154,158,160,163,165,167,169,171,173,175,175,175,175,176,177,179,179,180,180,179,180,180,180,180,179,179,178,153,156,159,162,164,167,170,172,173,174,177,177,177,178,178,180,181,181,183,182,181,181,182,182,182,182,181,180,156,158,161,164,166,169,172,175,176,177,179,179,180,180,181,182,183,182,182,183,182,183,184,184,185,185,185,184,158,161,164,165,168,171,175,177,178,180,181,181,183,183,184,185,185,185,187,186,185,187,186,187,187,187,187,186,159,162,165,168,171,174,177,179,180,181,184,184,185,187,188,187,185,184,172,185,190,192,191,188,189,189,188,188,160,164,167,171,173,175,179,180,182,184,186,186,187,189,187,185,204,176,133,126,188,175,173,194,192,190,189,190,163,165,169,172,173,176,180,180,185,188,187,189,191,189,162,134,181,153,101,97,103,146,123,146,201,191,193,193,164,168,171,173,175,179,181,184,186,187,189,183,184,216,156,122,154,147,104,98,78,140,145,91,171,201,193,194,166,170,173,176,179,181,183,186,188,188,198,169,124,168,182,149,160,168,150,147,129,116,129,92,133,209,193,195,166,171,175,179,180,182,185,188,188,191,211,185,150,112,170,166,130,172,182,180,177,140,90,75,132,210,197,199,169,171,176,180,181,184,187,190,190,197,194,204,181,129,116,166,115,130,180,177,181,145,94,60,144,210,199,201,170,173,177,179,182,186,188,190,190,201,161,176,174,147,89,123,131,107,147,143,170,151,106,61,153,211,199,201,172,175,180,182,185,186,189,191,192,204,144,125,158,120,74,91,119,86,94,133,181,168,121,66,171,207,200,202,173,176,179,183,186,187,191,194,195,207,181,145,142,95,63,83,101,71,73,89,193,180,136,76,178,211,201,202,175,178,181,184,187,189,192,195,198,206,176,133,127,96,62,74,101,57,57,123,197,196,152,88,114,215,202,204,176,179,181,184,186,190,192,194,198,205,188,151,121,97,61,76,102,57,132,204,198,189,149,107,77,196,211,206,177,180,182,185,187,191,194,196,196,210,201,168,130,101,86,76,76,136,216,212,205,174,133,105,87,198,210,207,179,181,184,187,189,193,195,197,197,211,203,171,138,118,107,101,128,203,217,206,189,164,115,89,101,213,207,208,181,182,184,188,191,194,197,200,199,208,205,181,156,141,125,113,158,211,218,198,163,140,109,75,126,219,207,209,179,183,185,187,191,194,198,201,199,206,204,186,163,141,129,117,158,209,216,188,155,127,101,74,154,220,208,210,180,184,186,189,192,195,198,202,200,200,201,187,163,142,151,124,144,208,211,174,141,114,94,76,181,218,209,212,181,184,186,191,193,196,200,200,203,199,197,192,172,159,162,130,127,207,193,159,124,102,87,89,204,215,213,213,181,184,188,191,194,198,199,199,202,200,193,189,177,158,163,139,119,197,178,142,113,94,80,111,221,213,214,214,182,185,187,190,193,195,197,198,201,203,198,191,181,161,155,138,114,183,164,123,105,94,73,142,226,212,214,214,180,183,185,189,194,193,196,199,202,202,201,200,180,156,143,119,102,163,140,104,97,92,79,182,219,213,215,214,180,182,187,189,194,195,197,200,202,193,205,199,167,144,119,98,110,147,120,107,101,83,122,216,211,213,214,214,181,184,188,191,194,196,199,201,201,194,215,195,168,151,124,120,118,144,112,111,97,84,185,217,212,214,214,214,181,184,188,191,195,196,199,202,199,199,215,202,181,165,133,121,133,131,112,109,76,137,219,211,214,214,215,216
18,59,64,67,72,79,84,90,96,99,100,101,104,107,110,113,114,118,119,120,121,122,123,125,125,126,127,128,131,61,65,67,73,79,86,91,96,100,101,104,102,108,108,111,117,116,117,123,124,123,124,125,126,126,128,130,131,62,66,68,74,80,86,93,95,98,103,99,116,127,88,75,103,130,109,86,118,128,125,127,127,128,130,131,132,62,66,70,76,83,88,90,99,129,94,81,136,121,101,87,123,144,104,71,59,117,129,127,128,130,133,132,133,62,66,69,77,81,89,84,141,147,95,87,146,110,116,120,130,114,95,93,60,66,134,126,129,131,132,134,135,63,67,69,73,93,109,81,148,138,108,102,125,111,108,109,110,87,98,97,88,51,110,133,130,133,133,134,135,64,67,71,73,152,125,87,87,150,114,109,76,102,84,89,79,78,112,103,99,73,63,135,132,133,134,136,137,65,69,63,104,170,134,116,79,127,135,104,62,104,97,62,35,101,121,115,111,96,56,85,140,133,135,137,139,64,70,62,130,146,145,135,97,79,136,106,67,77,126,86,32,66,115,119,128,102,79,50,107,142,135,136,138,65,69,66,131,101,137,129,97,53,97,101,66,48,93,77,33,52,120,140,134,105,83,66,61,138,135,137,138,65,68,72,145,96,105,97,66,46,54,69,54,30,50,35,94,146,135,127,123,103,85,70,59,133,140,139,140,66,65,77,158,123,119,92,53,40,37,53,46,13,21,105,159,142,132,119,102,90,78,64,74,142,138,139,140,67,62,95,156,117,107,91,58,33,29,59,43,6,90,167,155,143,126,110,86,72,69,55,102,144,139,140,141,68,59,106,174,135,118,100,72,45,43,52,42,79,158,160,157,140,116,100,81,66,60,57,131,141,140,142,142,67,60,100,183,148,138,124,101,86,88,79,94,146,161,160,148,127,107,89,74,63,51,79,144,138,141,142,143,68,63,96,183,157,142,122,105,101,103,100,134,160,157,153,134,116,98,83,69,62,49,110,144,140,142,143,144,68,65,91,181,159,142,125,115,114,111,120,145,154,152,135,120,107,90,77,68,60,57,134,140,142,143,143,144,67,67,82,173,161,146,132,126,123,122,132,142,144,141,117,106,95,82,70,66,50,82,143,138,141,143,144,144,66,71,71,155,165,154,146,135,126,124,128,133,128,126,109,95,85,76,67,64,50,122,142,139,140,143,144,145,66,73,69,128,170,161,159,145,127,116,107,114,111,110,102,84,75,69,65,50,77,143,139,140,141,144,145,145,67,72,74,96,166,158,156,148,126,108,99,100,103,106,98,80,71,67,62,43,114,142,139,140,142,143,145,145,67,72,80,79,141,150,136,133,121,105,96,96,97,103,100,84,72,68,51,60,138,138,140,142,144,144,145,146,67,71,80,81,105,151,129,118,107,94,96,100,87,97,97,81,68,67,42,86,143,137,141,142,144,145,146,146,66,70,81,88,89,136,117,107,106,98,113,110,86,90,96,82,67,63,41,101,144,138,141,143,144,145,146,146,65,71,81,88,87,120,121,114,119,109,108,110,88,80,91,82,70,62,36,90,147,138,141,143,144,146,146,146,62,71,80,87,88,107,139,126,123,109,101,106,90,75,84,79,68,64,40,69,144,137,141,142,143,145,146,146,63,71,79,86,91,97,152,140,128,112,99,102,95,76,73,76,69,62,48,48,138,138,140,142,143,144,145,145,63,71,78,86,93,95,150,148,128,111,96,99,98,73,69,76,67,61,52,42,127,140,141,142,143,144,145,145
1,51,55,72,93,109,117,120,128,135,139,141,145,149,153,154,160,159,158,159,160,161,162,162,162,165,165,164,164,52,57,76,96,112,120,124,131,139,143,147,150,152,165,167,121,163,166,167,164,166,166,166,167,168,167,166,166,54,61,80,101,116,122,127,136,144,150,152,154,159,180,188,83,143,135,153,175,169,170,171,171,170,169,169,169,56,63,83,105,119,125,132,142,149,153,160,176,116,178,189,80,134,138,99,184,174,176,177,176,176,174,172,172,57,66,89,107,121,128,135,146,154,156,169,200,92,160,190,74,135,164,75,169,186,182,182,180,180,179,178,176,57,69,93,111,125,131,138,149,158,162,173,205,100,146,198,88,138,172,76,150,195,185,186,186,185,185,183,182,59,72,97,116,130,135,143,153,161,164,179,212,109,130,187,93,141,188,94,137,202,188,191,190,189,189,188,187,59,75,100,120,132,138,145,156,166,175,136,204,119,106,166,95,140,184,99,131,208,193,195,195,195,194,193,191,60,79,104,124,136,141,150,158,181,186,97,190,123,84,176,104,131,195,111,131,214,198,199,200,200,198,197,196,61,82,108,127,138,142,155,162,194,176,89,195,135,71,163,98,128,206,123,132,217,203,206,205,204,203,201,201,62,85,110,129,141,145,158,165,199,174,80,184,156,76,128,123,128,184,128,126,221,208,210,209,208,206,205,205,64,87,113,133,143,148,161,168,209,188,77,148,182,139,143,150,126,117,102,122,225,209,212,210,211,211,208,208,65,90,115,135,147,151,165,171,211,193,79,122,141,147,152,110,117,153,96,125,231,212,216,215,216,214,213,213,68,94,120,139,150,154,169,176,207,197,129,145,76,126,103,83,172,199,171,121,201,226,216,219,218,217,216,217,69,97,123,144,152,158,172,179,218,203,149,121,77,109,70,127,188,194,200,136,99,213,224,222,221,221,221,218,71,100,125,145,155,161,175,184,229,202,142,100,83,116,120,191,215,199,176,111,69,133,236,222,225,224,225,223,73,102,128,148,156,163,178,188,236,213,146,95,100,127,145,212,225,208,161,104,65,114,237,225,226,226,226,225,75,105,131,151,159,166,182,190,238,227,160,97,113,142,169,211,223,205,159,108,53,137,244,227,230,228,226,231,79,109,134,154,161,170,185,191,233,233,184,110,121,153,177,225,225,195,148,107,52,161,247,227,232,240,245,227,82,113,138,156,163,172,188,193,230,238,205,127,130,157,172,229,220,190,135,99,49,181,242,241,237,199,129,61,86,116,141,160,166,176,190,196,223,233,217,144,148,146,168,218,213,182,123,91,52,200,252,173,83,35,13,19,88,118,144,162,167,177,191,200,212,222,224,162,165,139,171,204,207,168,115,79,62,229,144,32,7,13,17,9,91,120,146,163,168,177,191,201,203,213,222,181,169,147,154,202,186,155,102,71,81,123,26,35,23,0,14,18,92,122,149,163,168,178,190,199,202,206,213,188,175,163,135,180,171,139,96,73,51,12,4,31,38,0,0,23,94,125,151,166,169,180,193,201,208,201,209,197,183,176,139,147,169,129,95,69,34,26,3,0,37,7,0,7,96,126,153,169,171,183,194,203,212,204,211,207,192,177,135,129,155,124,89,58,38,26,12,0,14,28,0,0,93,126,155,169,173,186,196,205,211,209,214,195,172,164,137,130,129,112,76,49,43,13,12,0,0,27,0,0,109,130,150,161,168,179,187,198,207,203,212,204,169,172,161,130,112,105,71,45,37,25,2,0,0,11,14,0
21,68,84,103,118,128,132,143,152,159,164,168,171,173,177,180,181,183,184,183,183,182,182,181,179,178,177,175,175,67,85,106,120,128,133,145,155,162,166,170,179,180,181,185,187,188,189,189,188,187,186,185,184,184,183,181,181,69,87,107,121,130,135,147,157,162,175,182,126,165,192,189,191,193,193,193,193,192,194,194,189,190,188,186,185,71,89,108,123,131,136,149,159,163,180,189,117,104,199,191,194,195,195,196,197,199,151,172,199,192,192,191,190,72,91,109,124,131,139,152,161,167,176,196,152,78,176,199,194,198,199,199,200,213,135,103,206,197,197,195,195,74,93,112,127,133,141,153,162,170,174,208,171,81,137,208,198,201,201,201,202,219,154,81,193,205,200,200,200,75,95,114,129,135,143,155,165,173,174,207,188,87,98,208,201,203,203,205,208,222,157,80,174,212,202,203,202,76,97,116,131,137,145,157,166,174,177,196,197,111,81,189,206,205,206,207,210,218,147,83,162,216,204,206,205,78,98,117,133,138,147,160,169,176,181,191,214,152,86,160,214,205,209,209,213,213,152,88,162,218,205,208,208,80,100,120,135,140,150,163,172,179,184,188,221,172,94,125,217,207,210,210,216,216,161,91,169,219,207,207,207,81,103,122,137,141,152,165,173,180,186,186,222,184,100,99,208,211,212,211,221,205,150,93,178,218,211,217,221,84,105,124,139,143,153,166,174,181,187,188,220,200,120,89,187,216,213,213,226,190,139,87,200,231,213,183,140,85,106,126,140,144,156,166,177,183,188,190,211,222,158,99,156,222,213,214,230,195,138,89,166,123,78,53,36,87,108,128,142,146,157,170,178,185,190,192,199,208,167,105,125,221,213,217,227,185,142,80,40,29,31,34,48,88,109,129,142,147,159,171,179,186,189,201,191,141,123,110,102,211,217,220,213,171,133,63,31,32,35,25,32,87,109,129,141,147,158,171,179,185,185,214,202,164,176,108,78,186,219,199,186,158,113,54,24,20,37,33,21,88,110,130,142,147,159,172,179,187,188,222,226,207,205,125,80,106,155,165,165,134,91,34,36,15,23,39,29,89,111,131,142,148,160,172,179,186,187,221,237,226,197,139,95,74,91,135,151,119,80,8,27,35,10,27,34,86,110,131,142,148,160,172,180,192,151,151,198,224,200,174,119,101,97,91,103,102,75,6,4,39,27,13,27,98,114,131,141,148,160,170,184,212,156,127,120,192,168,185,153,132,135,91,60,78,74,20,0,22,40,20,17,94,93,98,102,105,111,104,164,226,198,169,111,117,145,129,158,147,138,117,77,58,64,36,0,4,34,34,22,95,94,96,96,97,102,87,166,200,206,186,135,83,91,97,77,119,144,140,115,79,51,46,0,0,22,36,30,99,101,100,101,104,106,93,170,170,150,194,152,90,55,96,62,56,164,173,150,121,76,48,13,0,9,32,29,100,102,101,103,105,107,95,181,196,140,152,171,103,77,75,85,58,128,207,180,148,108,70,31,0,0,26,31,100,101,101,101,104,107,96,181,195,154,98,128,136,124,84,93,90,136,158,205,172,126,90,61,4,0,16,32,100,101,101,101,103,108,95,167,198,136,94,87,122,147,105,112,124,166,147,188,193,142,101,80,21,0,2,27,99,100,100,101,103,106,95,140,195,142,130,108,96,122,130,144,162,179,209,185,170,120,110,85,30,0,0,15,99,99,100,102,102,105,98,122,204,174,145,112,112,127,150,167,202,203,207,178,145,83,103,78,31,14,0,0
23,143,147,150,154,156,157,160,162,164,165,166,167,167,167,169,169,168,168,167,167,167,166,165,165,165,163,162,162,144,148,152,156,158,159,161,163,165,167,168,169,169,170,170,172,170,170,171,170,170,168,168,168,166,165,164,164,145,149,153,157,159,161,163,165,167,169,171,171,172,172,172,173,172,170,170,173,172,170,169,170,169,168,166,165,147,151,155,159,161,163,165,167,169,170,171,173,174,174,174,176,178,167,148,150,169,173,172,172,171,170,169,167,149,153,158,161,163,165,167,169,170,172,173,175,176,177,181,183,184,168,159,140,153,160,171,175,173,172,171,170,151,155,160,163,165,167,170,171,172,175,176,177,180,193,180,175,187,142,147,151,146,117,151,177,175,174,173,171,153,157,161,165,166,169,171,173,175,176,178,178,192,191,165,136,137,97,125,128,114,121,168,179,177,176,175,174,155,160,164,166,168,171,173,175,176,178,180,181,201,187,170,92,122,156,178,177,170,177,180,180,179,178,177,177,157,160,165,167,170,172,174,177,178,180,181,186,204,189,176,110,146,186,182,181,183,182,182,181,180,180,179,178,158,161,165,169,172,174,176,178,180,182,181,188,197,186,180,153,169,181,166,136,165,184,184,183,182,182,181,180,158,163,168,171,173,176,178,180,182,191,186,178,176,178,190,187,189,184,160,102,122,189,186,185,184,183,182,181,160,165,169,172,175,177,180,181,187,204,190,171,158,163,173,168,165,155,137,99,109,191,187,187,187,186,184,183,161,166,170,174,177,179,181,181,193,208,193,165,140,145,178,183,178,166,142,98,96,189,189,189,189,187,186,186,162,166,171,174,177,180,183,183,202,209,195,167,146,144,154,157,162,169,148,97,82,185,192,190,189,188,187,187,163,167,172,176,178,181,183,188,210,212,198,179,175,174,162,139,126,131,119,84,76,176,193,192,191,190,188,187,164,169,174,177,180,182,184,195,214,211,197,179,176,163,173,159,139,124,94,73,64,111,171,196,194,193,190,189,166,170,175,179,181,184,188,206,214,211,197,169,154,135,156,169,147,116,82,66,73,105,111,163,196,194,193,191,166,171,176,180,182,183,198,217,216,207,178,130,114,108,106,140,157,115,72,62,73,95,73,73,174,196,194,193,167,172,177,180,183,187,213,222,212,190,168,134,96,73,77,158,174,105,68,58,71,81,64,54,136,198,195,194,168,173,177,181,183,208,225,219,203,179,164,136,97,74,121,159,145,87,59,63,77,79,64,67,152,198,195,195,169,173,178,181,192,225,225,213,191,176,162,127,92,74,106,112,97,68,52,71,85,79,78,141,196,199,197,196,170,175,179,181,211,230,220,206,188,174,153,121,85,54,59,64,73,68,63,73,80,98,163,200,201,199,199,197,171,175,180,193,227,225,216,198,180,165,143,110,80,59,71,79,86,80,73,73,126,184,203,202,201,200,200,200,171,175,181,221,228,215,203,186,170,154,129,98,78,68,85,93,91,79,81,145,200,206,203,202,201,201,201,201,171,175,195,234,219,203,190,172,156,138,117,93,75,73,89,85,75,76,155,206,207,206,205,203,202,202,202,201,168,173,211,229,212,194,181,165,147,130,111,91,72,70,80,72,86,162,206,208,208,207,205,205,204,202,202,201,70,134,223,218,205,183,162,154,137,116,99,77,63,62,71,110,180,210,210,208,207,207,206,206,205,204,203,203,35,120,206,204,197,171,159,146,109,90,70,49,49,94,151,200,210,209,209,208,208,207,207,207,206,204,203,203
12,194,200,204,205,211,213,215,216,218,219,220,220,224,226,226,225,225,225,226,226,225,226,223,222,221,220,221,219,197,201,205,206,211,214,216,218,218,220,220,224,225,226,227,227,227,226,226,226,225,224,224,224,224,222,222,219,199,202,207,210,211,214,216,218,221,223,225,225,226,227,223,226,230,230,226,227,226,226,226,225,225,222,223,223,199,203,207,210,213,216,217,221,223,224,223,227,224,220,253,225,195,216,232,228,229,226,228,227,226,225,226,223,200,205,209,212,214,217,220,223,225,221,241,255,246,195,247,255,185,156,230,227,230,231,227,227,228,225,225,225,202,206,210,213,215,218,223,225,228,221,255,255,255,216,168,244,224,145,206,252,205,206,231,229,228,226,226,225,202,206,210,214,217,219,223,225,228,221,255,255,255,247,213,171,212,184,176,255,200,149,203,235,228,227,227,226,203,207,211,215,218,220,223,226,225,220,255,239,223,255,216,131,188,206,132,188,206,136,152,237,230,228,228,228,203,208,213,216,219,221,225,219,238,255,214,190,207,229,211,184,207,167,107,139,177,135,135,232,232,229,228,229,204,209,214,217,220,224,220,237,255,255,193,140,176,240,241,241,220,178,151,211,159,129,137,234,232,230,229,231,205,210,215,217,220,224,218,255,255,244,204,145,108,208,226,217,235,247,229,219,151,118,149,242,232,233,232,233,205,210,215,218,223,219,248,255,255,255,215,155,84,127,163,199,233,255,255,211,146,99,182,243,232,233,233,233,208,211,216,219,224,217,255,255,248,255,223,173,100,101,102,133,223,254,255,233,194,129,214,242,233,234,233,233,207,212,216,221,218,248,255,250,228,255,250,196,108,110,112,174,255,244,234,205,208,166,176,244,233,235,234,233,205,210,216,219,214,255,255,250,197,222,255,211,133,101,199,255,255,238,227,185,181,166,153,240,235,234,235,235,206,212,214,216,215,255,255,250,198,169,225,255,172,187,255,254,245,231,215,182,160,140,174,243,235,234,234,234,207,213,217,218,224,255,255,250,230,228,183,194,205,255,255,255,240,231,201,178,147,129,203,244,237,236,235,235,207,213,218,217,227,255,255,255,255,247,210,207,255,255,255,255,226,212,187,175,142,134,228,241,238,238,236,235,208,213,218,217,225,255,255,255,255,249,226,220,255,255,255,252,216,190,181,167,133,157,244,239,239,238,236,236,207,213,215,220,222,255,255,255,255,245,229,221,255,255,255,233,199,184,183,154,125,203,248,239,240,240,237,234,205,209,214,221,213,255,255,255,255,249,236,231,255,255,240,211,191,189,181,137,149,241,240,238,238,237,235,233,208,213,218,224,219,249,255,255,250,245,236,231,250,255,230,203,187,183,163,131,213,249,243,243,242,241,240,240,178,181,182,185,177,217,255,242,241,241,229,212,235,255,227,192,174,167,146,137,182,182,179,179,179,178,178,179,134,132,131,135,120,174,255,235,240,243,228,209,225,250,207,166,156,152,138,127,122,122,121,120,120,120,119,120,145,144,143,146,134,177,255,242,253,249,229,211,217,243,191,157,147,141,136,136,134,135,133,132,132,130,130,130,144,143,143,147,135,177,255,255,255,255,236,212,205,237,189,160,138,134,136,137,137,133,132,131,132,130,130,129,145,143,144,148,137,169,255,255,255,255,235,206,196,229,192,157,136,132,135,136,136,134,134,133,132,133,131,127,143,145,145,146,140,156,255,255,255,245,226,208,191,217,186,149,135,131,136,136,134,133,132,132,134,132,127,138
6,185,186,186,185,186,186,185,185,185,185,184,183,181,180,179,177,176,175,174,173,172,171,169,166,166,164,161,159,187,187,187,187,187,188,187,187,188,187,187,186,185,183,181,180,179,178,177,176,174,172,172,170,168,166,165,162,188,189,189,188,189,189,189,189,189,190,188,187,186,186,184,182,182,181,180,178,175,175,174,172,171,167,165,164,190,190,191,191,191,191,192,193,192,192,190,189,188,186,186,185,183,184,181,180,180,179,178,177,174,171,168,166,191,192,193,193,193,192,193,194,193,192,192,191,192,192,190,190,188,186,182,176,173,170,164,159,160,159,168,170,193,193,194,194,194,194,195,195,198,198,196,190,188,183,174,167,159,144,127,131,138,138,123,130,180,163,144,174,194,194,195,194,193,195,197,197,183,160,150,141,143,141,136,128,128,124,109,131,129,119,122,121,152,130,132,176,195,196,197,195,195,198,192,172,149,128,125,132,135,144,144,140,123,111,100,93,85,91,95,88,102,130,167,174,198,197,197,198,198,181,163,159,150,124,102,110,117,111,96,92,76,70,86,112,131,150,160,172,182,184,179,175,198,198,200,199,169,153,157,154,140,117,79,67,47,78,142,148,156,163,182,196,195,193,190,187,183,180,179,178,198,201,198,164,149,155,157,154,152,144,111,61,31,69,144,177,202,202,193,191,188,187,186,186,184,183,181,179,204,198,169,154,159,164,164,164,166,150,93,49,47,41,36,43,70,179,197,192,193,190,189,188,186,184,183,181,184,160,160,168,167,168,165,155,160,115,52,39,43,48,51,49,25,102,208,192,194,193,190,188,187,185,184,181,155,160,170,169,166,166,150,145,151,113,78,46,24,38,45,51,44,32,176,201,194,193,191,189,188,185,184,181,161,165,170,171,169,155,145,152,153,155,136,78,34,33,32,32,44,105,192,195,194,194,192,189,188,186,185,183,163,165,171,171,163,147,146,150,146,153,126,64,41,41,45,26,137,215,196,195,195,194,193,191,189,188,186,184,163,169,171,160,149,144,143,139,136,131,96,44,32,37,46,17,135,212,195,198,195,193,194,192,191,189,187,185,165,163,151,148,150,145,144,132,119,120,109,65,23,31,27,89,193,198,196,195,194,193,193,190,188,185,183,183,153,141,139,146,141,131,122,114,118,135,140,87,39,47,25,146,215,197,196,194,194,193,192,189,189,190,192,185,141,141,141,132,117,112,113,120,128,138,127,72,41,38,19,150,210,197,195,195,194,193,193,196,182,160,123,87,141,139,128,118,114,114,114,109,105,102,69,33,43,52,131,205,200,207,207,203,197,195,196,145,73,45,36,33,128,115,103,111,114,111,94,74,60,47,43,112,174,196,209,205,198,164,150,102,87,89,77,44,38,42,26,32,90,65,59,80,90,83,64,51,54,96,153,209,204,201,200,198,112,61,51,17,26,26,21,30,24,35,24,12,47,30,46,69,71,68,63,67,84,104,107,98,100,106,104,81,52,45,44,28,13,31,17,23,16,19,20,5,34,50,100,97,97,98,97,95,95,90,89,89,73,61,46,37,35,33,21,34,4,21,14,13,15,17,10,6,30,80,113,101,102,109,104,98,104,104,105,90,48,30,38,32,24,26,22,27,9,8,13,9,12,15,4,10,36,90,99,97,99,100,97,95,97,93,73,41,34,17,25,30,19,18,16,19,13,0,9,7,11,14,0,11,46,96,96,97,101,99,96,97,90,67,52,19,27,19,13,28,14,14,10,12,15,0,6,7,10,11,2,10
13,154,155,157,159,160,161,162,162,163,164,164,164,163,164,164,164,161,160,160,159,159,158,156,154,153,151,150,149,154,156,157,161,162,163,163,164,165,165,167,168,171,165,166,168,168,162,162,161,159,159,158,157,156,154,152,150,156,158,159,161,164,165,165,166,166,167,154,127,134,173,153,124,133,168,163,163,161,160,160,159,157,156,154,152,156,159,160,163,165,165,166,169,167,172,153,121,94,125,133,105,63,138,173,163,163,162,161,159,158,157,156,153,157,160,162,164,165,166,168,170,167,179,175,139,115,66,124,121,72,97,178,164,165,164,163,161,159,158,157,155,158,161,163,165,166,167,169,170,169,172,177,141,109,63,98,115,71,80,176,167,166,164,163,162,161,159,157,156,158,162,165,167,168,169,170,171,175,176,167,138,102,67,73,92,60,72,175,167,167,165,164,163,163,161,159,157,160,163,165,167,169,170,171,170,159,163,153,136,105,79,69,103,62,82,177,167,168,168,166,165,164,163,160,158,161,163,165,168,170,172,172,157,112,92,99,140,140,94,78,111,72,87,181,168,170,169,167,165,164,163,161,160,162,165,167,169,171,172,182,156,112,97,76,139,154,104,68,98,69,52,157,176,170,170,168,167,166,164,163,161,163,165,167,170,170,164,131,135,131,119,82,65,107,73,61,70,69,63,98,180,170,171,169,168,168,165,163,162,164,166,169,167,177,156,99,86,141,123,105,47,22,29,55,74,87,98,67,146,179,169,170,168,168,166,164,163,164,167,167,177,184,140,112,91,114,133,106,80,28,53,59,91,111,109,73,96,184,170,171,170,168,167,165,164,165,168,169,183,146,138,128,112,85,125,114,94,41,64,119,129,115,97,76,82,181,171,170,170,170,168,166,164,164,167,170,184,143,117,124,107,86,99,104,71,39,75,133,142,124,90,62,97,184,172,172,172,170,169,167,164,165,167,174,173,144,105,96,96,70,50,75,65,46,99,141,134,121,90,49,125,186,173,172,171,170,170,167,164,165,168,172,174,165,138,99,71,50,38,72,77,79,148,150,128,113,83,50,156,183,175,173,171,170,170,168,165,167,169,170,172,169,148,123,105,88,86,96,96,141,167,143,119,102,75,65,177,177,176,175,172,171,170,169,166,167,171,171,171,166,154,133,111,94,97,132,161,163,152,133,112,95,62,87,189,176,177,175,172,171,169,168,168,167,171,172,174,156,142,130,110,96,98,123,159,153,141,120,102,88,49,114,191,177,178,176,173,171,170,169,169,167,169,173,175,150,141,132,114,108,102,115,150,152,137,112,89,78,44,149,188,179,177,176,174,171,171,171,169,168,170,172,177,164,140,133,122,113,101,108,143,144,126,98,79,56,68,185,180,179,178,177,175,172,171,171,169,166,170,171,176,177,147,133,125,111,100,97,124,131,111,85,72,40,131,191,180,181,179,177,176,173,173,171,170,167,170,173,175,179,173,141,121,106,100,97,111,124,106,84,63,58,180,182,181,180,179,177,176,174,173,172,170,168,171,174,177,178,178,155,129,112,105,110,111,120,107,82,54,104,194,180,181,181,180,178,176,176,175,172,170,167,170,173,175,176,173,162,139,132,130,126,117,120,103,75,54,144,190,180,180,179,179,177,175,175,173,172,169,166,169,171,175,175,165,170,150,143,137,128,124,112,93,70,59,170,184,180,178,177,177,176,173,172,171,169,168,166,169,171,175,175,162,176,154,145,144,128,115,96,88,61,71,183,181,181,179,178,178,176,175,173,171,169,168
4,59,71,83,88,93,97,100,103,105,107,110,112,113,116,118,119,122,121,123,124,124,125,126,125,126,126,126,127,59,73,85,90,95,98,101,103,106,109,112,112,116,118,117,121,119,123,125,126,129,127,127,127,129,128,129,128,61,76,85,90,95,99,103,105,107,109,111,113,108,112,124,127,102,93,122,117,115,130,129,129,130,130,130,129,63,77,86,92,97,100,104,108,108,105,119,143,114,96,124,141,100,56,90,111,62,85,134,130,131,131,132,132,65,79,87,93,97,100,104,108,114,120,100,118,143,97,86,130,88,52,54,92,68,44,122,135,131,132,134,133,65,81,89,94,98,101,106,105,137,133,109,84,99,90,62,98,77,45,55,94,67,35,116,138,132,134,135,134,67,82,89,94,98,102,103,118,147,140,122,99,56,59,56,114,90,33,92,99,53,36,131,135,133,135,136,136,70,83,90,95,99,103,102,134,121,113,117,79,49,41,54,121,88,75,115,79,30,53,140,136,135,137,138,137,71,84,91,96,100,104,104,143,106,101,107,53,39,48,31,71,96,128,110,93,53,72,147,135,137,137,138,138,75,85,91,97,101,103,111,149,117,117,97,58,27,71,84,98,112,111,94,102,83,74,139,138,137,139,139,139,76,86,90,97,104,102,122,143,103,91,86,62,16,96,113,99,100,81,95,117,100,77,89,144,137,142,141,140,78,86,91,99,103,100,132,134,98,76,64,38,17,35,70,71,66,39,94,122,116,103,63,105,147,140,143,143,78,88,92,99,104,104,151,138,106,87,70,50,32,25,31,36,58,95,98,116,125,107,81,56,131,145,143,143,80,88,92,99,103,110,161,132,110,98,70,52,41,52,77,100,130,141,127,118,107,100,91,58,95,151,142,144,83,88,93,101,101,120,166,137,124,100,69,64,51,83,123,139,145,139,122,110,90,79,83,55,103,151,143,145,84,88,94,102,98,131,166,140,121,90,74,71,64,116,140,145,147,144,120,99,79,64,62,65,138,145,145,146,84,88,94,103,99,135,165,137,112,89,87,75,87,133,138,144,146,133,109,90,73,60,49,112,151,145,146,146,85,88,94,103,99,136,162,132,114,105,101,88,110,133,136,140,136,117,98,79,68,49,75,150,145,147,148,148,86,89,95,102,101,134,156,136,130,122,108,102,125,131,136,130,118,106,86,73,60,50,133,151,147,148,149,150,85,89,96,102,102,125,156,143,137,122,106,101,120,126,124,113,101,92,75,66,48,99,154,146,147,149,150,150,86,90,97,104,104,117,153,138,132,119,101,88,103,111,111,103,90,80,70,53,69,147,147,148,148,149,149,150,86,92,98,103,107,113,150,132,120,111,95,88,97,107,105,92,77,71,59,50,128,151,147,149,150,151,150,151,86,92,98,103,108,110,143,121,110,102,90,96,93,101,103,87,73,65,42,104,153,146,149,149,150,151,151,151,87,92,99,104,107,119,144,123,112,107,108,112,92,87,93,77,67,50,71,148,147,149,150,151,152,152,152,152,87,92,100,103,111,152,128,118,121,112,111,103,87,78,83,71,61,44,121,151,147,150,150,151,152,152,152,152,88,93,100,100,142,151,147,84,96,119,104,93,83,72,72,66,57,43,136,149,148,150,150,151,151,153,152,154,87,95,96,117,158,143,149,136,53,87,94,84,77,61,65,60,51,45,140,148,148,150,151,152,151,153,154,154,88,94,98,149,146,145,144,153,115,40,69,79,68,50,59,55,49,43,138,150,149,150,152,153,153,154,154,155
1,159,160,162,163,165,166,166,165,166,166,166,166,165,165,166,164,162,165,161,161,160,159,159,157,156,155,154,154,161,162,164,165,166,167,167,167,167,167,168,167,167,168,166,167,159,139,164,163,161,160,159,159,158,156,155,155,162,164,166,167,168,169,169,169,169,168,169,169,169,169,166,177,164,100,147,160,163,161,161,160,160,159,158,156,163,165,166,168,170,171,172,172,171,171,171,171,169,173,157,159,161,111,149,120,154,166,163,162,161,161,159,158,166,167,169,170,171,172,174,173,173,173,173,174,171,182,144,131,151,112,160,115,143,171,165,164,163,162,161,160,167,168,171,172,172,174,174,174,175,175,175,175,175,185,134,133,153,114,156,114,133,175,166,166,165,163,162,161,168,170,171,174,174,175,176,176,177,177,177,174,169,182,122,131,152,114,154,117,127,176,168,169,167,166,165,163,170,172,173,175,176,177,178,178,179,179,179,178,139,173,120,127,149,113,153,124,126,176,170,171,169,168,166,165,171,174,176,177,178,178,179,179,179,179,186,166,122,165,114,139,151,113,147,123,126,177,171,171,170,169,168,168,173,174,176,178,179,180,180,180,181,180,191,150,115,154,111,164,155,116,161,137,123,180,173,174,172,171,170,168,174,175,179,180,179,180,182,184,183,182,192,140,123,164,116,160,140,114,175,142,127,181,175,175,173,172,171,170,174,177,180,182,182,184,184,184,183,188,191,121,128,159,102,139,117,109,172,132,130,183,176,176,175,173,173,172,177,179,180,183,184,185,184,185,184,194,188,128,154,135,111,140,128,143,169,128,131,184,177,178,177,174,174,172,178,179,182,184,185,187,185,186,184,200,176,123,169,160,153,146,138,160,155,125,133,185,177,179,179,177,176,174,179,180,183,185,186,187,188,188,186,201,175,156,140,165,179,178,148,126,132,119,132,187,181,180,179,177,177,175,180,181,184,185,186,188,188,188,192,198,178,157,120,140,147,171,173,154,125,102,130,189,182,182,181,179,178,176,180,183,185,185,186,188,190,187,198,197,159,137,129,133,136,165,180,173,158,116,125,192,182,183,181,180,180,178,181,184,186,187,188,189,190,187,204,199,153,141,146,139,159,176,178,185,164,145,116,176,188,184,183,180,179,179,182,185,187,188,190,191,192,189,206,200,158,146,148,148,178,197,185,176,159,144,109,165,190,184,184,182,180,179,183,185,187,188,190,191,191,189,203,203,172,154,144,157,195,204,185,164,142,128,109,165,191,184,184,184,182,179,183,186,188,190,191,192,192,190,200,211,186,159,150,154,204,211,180,150,131,114,109,165,192,185,184,184,182,180,184,186,188,190,192,193,194,192,197,208,186,163,154,146,203,198,170,143,125,111,114,180,191,187,186,184,183,182,185,186,189,191,192,192,194,194,196,202,183,171,155,152,194,182,160,136,121,110,129,191,188,189,187,185,185,183,185,186,189,191,192,193,194,194,194,197,190,187,163,172,188,168,148,130,118,110,160,194,189,189,187,185,185,183,185,187,189,191,193,194,193,194,194,193,194,187,161,158,169,156,136,123,113,121,186,191,190,189,188,186,185,184,186,188,190,191,193,194,195,195,196,195,188,174,155,145,150,147,133,122,111,137,196,191,191,190,188,186,185,185,186,188,190,192,194,194,195,195,196,196,183,163,153,154,151,148,145,122,109,161,197,191,190,190,188,186,186,186,185,186,189,191,192,193,194,194,194,193,191,174,173,168,153,143,143,116,107,178,194,190,190,189,187,186,185,184
5,144,150,155,158,161,165,167,168,170,174,176,176,177,181,182,184,185,187,190,190,190,192,194,193,193,194,195,195,146,152,156,159,163,166,168,170,173,175,176,177,182,183,184,185,186,189,191,191,194,194,194,193,194,195,196,195,147,152,157,160,164,168,170,171,173,176,179,179,154,182,185,186,188,191,192,192,184,193,194,196,196,196,196,195,148,154,158,161,165,169,167,175,176,177,179,195,124,167,189,187,191,192,190,202,148,170,199,195,196,196,197,196,149,155,159,162,166,171,186,145,171,180,180,202,126,161,194,188,191,191,194,205,128,162,203,195,198,199,199,198,151,155,160,164,170,165,206,155,139,186,182,209,137,164,195,189,192,192,204,167,116,193,199,200,201,201,200,199,152,156,161,166,170,166,190,186,126,184,187,208,144,161,196,190,192,203,200,121,148,208,198,202,202,201,200,200,153,159,163,167,173,171,183,218,147,169,196,192,126,159,199,191,195,202,164,123,197,202,201,203,203,202,202,202,153,160,164,168,173,174,177,233,173,148,199,179,133,157,201,188,188,163,113,166,208,200,202,203,205,204,204,203,156,162,165,169,174,175,173,221,206,139,191,174,150,152,198,180,177,111,137,208,203,204,204,205,207,206,206,205,155,162,167,171,175,177,175,196,231,188,163,160,152,139,172,175,162,115,195,205,203,204,204,206,207,206,207,207,157,162,168,171,175,177,179,181,224,226,177,132,142,120,134,164,133,146,210,203,206,207,206,206,207,208,208,205,157,163,168,172,175,176,179,180,201,238,208,155,121,116,120,127,116,186,208,206,206,204,207,209,210,210,209,209,157,163,168,173,175,176,180,183,185,232,217,168,123,107,112,108,120,206,200,196,193,191,196,199,197,196,202,200,158,164,170,174,176,177,182,185,181,225,222,168,121,103,102,105,120,162,184,185,176,192,209,202,196,195,184,148,159,165,170,174,177,180,183,186,185,236,219,172,129,99,99,103,124,136,161,164,133,136,159,152,155,178,165,122,160,166,170,174,178,179,184,183,195,248,208,166,128,102,98,105,120,125,117,121,135,176,181,181,181,188,152,140,159,165,171,176,178,179,185,179,216,247,196,161,124,102,100,103,106,110,147,181,208,219,215,195,193,153,142,206,159,165,172,176,179,181,185,182,235,235,189,156,118,101,102,107,92,156,217,220,213,200,179,182,173,124,209,216,159,166,171,176,178,182,183,195,249,228,184,141,117,98,99,112,125,150,157,184,183,178,190,186,133,151,222,209,161,166,172,176,178,182,179,216,248,216,172,141,121,97,102,120,142,156,151,147,173,186,180,147,145,203,216,212,161,166,173,176,178,181,182,237,240,204,164,149,126,95,114,148,165,170,160,154,175,153,142,180,217,218,215,214,161,167,173,176,179,177,198,248,233,199,165,153,127,95,124,165,167,170,164,138,126,151,204,221,214,214,215,213,162,168,173,177,180,176,228,244,224,195,166,148,127,98,134,171,158,168,149,114,164,216,216,213,215,215,214,214,162,168,173,179,174,198,246,229,217,191,150,135,117,100,144,164,152,151,133,188,220,213,214,215,215,216,216,214,162,168,173,178,175,228,235,216,206,176,134,127,108,111,141,145,145,134,196,219,212,215,215,215,215,216,216,214,163,168,175,173,203,232,218,208,204,175,122,118,110,118,122,129,150,195,217,211,215,215,215,216,216,216,216,216,163,168,174,176,234,221,212,200,211,168,108,120,123,109,111,161,210,215,213,215,215,215,215,217,217,216,216,216
11,185,188,191,193,196,196,198,199,200,200,199,199,200,199,198,197,196,195,194,194,191,191,190,188,187,186,185,183,188,190,193,196,198,198,200,201,202,202,201,201,201,200,201,199,198,197,196,195,193,193,192,191,189,187,186,185,190,193,195,197,200,201,202,203,203,204,203,202,203,202,201,200,200,200,197,196,196,195,193,192,191,190,187,186,191,194,196,199,201,202,204,204,204,206,205,206,205,204,203,202,196,199,201,199,197,197,195,193,193,191,190,188,193,196,198,200,202,204,207,207,205,206,206,206,206,206,204,209,195,147,198,200,198,198,198,195,195,194,191,189,194,198,199,201,204,206,207,207,207,207,207,207,207,207,204,215,203,124,177,207,199,200,200,199,197,195,193,192,196,199,202,203,205,206,208,209,208,209,209,209,209,207,205,215,197,131,170,211,200,200,200,200,197,196,194,193,197,200,203,205,206,208,211,211,212,211,211,210,210,210,205,220,207,139,169,212,202,201,200,200,199,197,195,194,198,201,204,207,207,210,212,212,212,213,212,211,211,213,206,227,216,146,161,214,204,203,202,201,200,198,197,195,200,203,205,207,210,211,213,214,213,213,213,212,212,212,208,228,202,136,159,215,203,204,204,203,201,200,197,196,201,204,206,209,211,213,214,214,214,214,214,213,215,218,214,228,195,130,164,216,205,206,205,204,203,201,199,197,203,205,208,212,213,214,214,214,215,216,220,220,205,173,196,233,193,135,173,216,206,207,207,205,204,202,201,198,205,206,210,213,214,215,216,220,223,211,183,197,195,144,133,208,170,125,183,217,208,208,207,207,205,203,201,199,206,208,210,213,216,216,217,187,195,206,152,112,178,165,110,118,124,110,203,215,211,209,208,207,206,205,201,200,207,210,212,214,216,221,221,174,122,193,166,108,178,163,108,98,102,128,219,212,212,211,211,210,209,209,204,200,207,211,214,216,215,232,226,200,120,173,175,109,168,147,106,100,99,138,223,212,214,211,206,202,193,190,203,206,210,212,214,216,224,243,230,196,123,137,158,101,152,142,102,91,88,133,225,213,213,207,198,190,168,154,152,183,211,214,216,216,235,228,210,194,129,106,144,103,172,154,111,84,93,138,227,207,217,215,182,153,128,123,107,124,213,214,218,217,238,241,214,184,113,124,161,106,206,195,126,92,109,133,202,211,211,168,111,100,140,164,157,171,213,215,219,218,242,244,217,166,131,149,217,133,198,194,107,105,144,155,191,204,169,106,111,193,220,216,215,211,213,216,219,218,244,240,203,181,173,137,240,150,110,159,136,158,159,153,170,154,105,123,213,219,211,210,207,206,212,216,219,218,241,237,215,195,165,152,191,142,152,197,191,171,151,136,135,101,114,219,219,213,213,211,209,207,214,218,220,220,235,237,224,201,186,201,209,215,195,183,173,158,147,123,99,107,207,223,216,216,215,213,211,209,215,218,222,221,230,233,218,199,175,175,192,197,184,179,159,151,140,93,123,210,225,219,219,217,217,213,212,210,214,219,218,226,230,226,213,177,155,172,186,180,175,162,152,141,98,136,225,227,219,220,219,218,216,214,212,211,213,222,129,100,208,214,197,171,174,182,180,171,159,143,118,100,157,230,224,222,221,219,218,218,216,213,211,209,223,173,85,76,125,196,207,203,195,173,171,153,128,93,123,207,233,224,223,223,221,220,219,218,216,214,212,209,214,114,85,94,84,113,175,187,176,162,151,133,100,98,224,235,224,225,224,223,221,220,219,218,216,213,212,211
14,176,179,182,184,184,185,187,187,188,189,190,188,190,189,188,186,186,184,184,184,182,182,181,179,177,177,174,174,179,182,184,186,186,188,191,192,191,192,193,191,194,192,192,192,190,188,187,187,185,185,183,181,180,180,179,178,182,184,186,189,190,192,193,194,193,195,195,194,196,197,194,195,193,192,190,190,188,186,185,185,183,184,182,181,183,185,188,191,192,194,197,196,197,198,197,198,195,195,197,199,198,194,193,194,192,190,189,187,186,185,184,183,185,187,191,192,194,197,201,201,201,201,200,200,214,186,175,187,185,201,197,195,195,193,192,189,188,187,187,185,186,189,193,195,196,199,201,202,201,202,206,224,214,190,171,167,150,162,198,199,197,196,195,194,192,191,190,189,190,192,195,199,201,201,202,204,206,207,228,223,216,196,201,182,144,107,122,211,198,199,198,195,194,193,192,191,194,195,197,200,203,203,202,207,205,220,230,226,198,91,172,172,161,115,45,139,212,199,200,197,196,195,194,193,195,197,199,201,204,207,205,209,214,236,189,130,116,66,59,77,180,169,54,67,200,203,201,200,199,197,196,195,196,199,202,205,208,210,209,231,247,229,167,99,49,43,33,9,146,204,120,58,180,212,203,202,201,198,198,198,200,203,204,207,212,208,222,249,228,178,139,108,63,17,43,15,70,144,118,57,142,219,204,205,202,201,200,199,201,203,205,209,210,208,247,242,208,140,72,69,54,34,20,60,190,165,168,106,109,221,204,207,205,203,202,201,201,203,207,212,205,243,255,226,206,139,76,36,38,19,85,206,219,208,179,80,107,222,209,210,206,206,204,203,203,207,213,204,233,255,235,225,182,120,90,43,21,59,220,226,212,187,163,68,91,227,210,213,211,209,208,206,205,210,209,219,255,251,236,217,173,136,83,21,5,105,203,226,217,169,152,78,44,185,222,213,214,212,210,208,209,214,206,253,255,249,229,203,170,116,64,22,40,47,54,199,187,144,140,98,58,130,233,214,216,213,212,210,212,209,227,255,255,242,221,199,141,89,44,50,80,82,76,86,120,159,145,94,60,180,228,218,217,214,214,213,210,209,255,255,248,231,208,178,118,88,50,86,101,104,112,91,109,149,128,58,150,233,219,221,218,217,217,215,212,233,255,252,238,215,200,164,119,88,74,101,107,112,102,109,102,137,74,116,233,220,222,220,219,219,217,215,182,255,255,243,221,209,186,159,129,82,84,107,107,104,88,113,94,62,101,232,227,225,225,222,221,220,219,217,65,162,252,231,193,176,156,139,91,73,82,93,101,92,86,87,41,83,223,232,226,226,226,225,222,221,220,218,69,54,104,171,187,143,101,61,46,65,65,74,87,76,58,87,155,230,236,227,229,227,226,226,225,223,221,220,58,62,51,64,81,73,56,41,40,46,46,44,45,52,126,230,247,234,232,232,229,229,228,227,226,225,222,220,55,52,57,56,4,2,16,11,8,12,2,55,124,185,246,238,234,235,234,234,233,230,229,228,227,227,224,222,51,51,46,57,41,0,4,1,0,0,0,25,225,254,235,238,239,237,236,236,235,232,231,229,228,227,226,224,49,45,43,49,48,0,0,0,0,0,0,2,214,246,238,240,239,239,237,236,236,233,233,231,229,228,227,226,36,40,35,45,48,0,0,0,0,0,0,91,255,238,243,242,241,239,238,238,236,235,235,234,231,229,227,227,50,89,25,52,27,0,0,0,0,0,0,157,255,238,243,242,241,239,238,238,238,236,235,235,233,230,229,228
0,155,157,161,163,165,166,168,172,171,168,169,170,170,168,170,168,166,166,166,165,162,160,160,157,156,156,154,153,156,159,163,166,167,168,169,172,171,170,171,173,173,171,171,168,168,168,166,165,163,161,160,160,161,158,156,155,156,160,164,165,168,169,170,173,174,173,174,174,172,172,173,176,175,167,168,173,167,163,162,157,146,157,159,158,159,160,164,166,170,172,173,175,175,175,176,178,179,175,172,153,158,180,161,134,163,168,170,165,86,139,164,157,160,162,167,169,171,173,174,176,180,177,176,162,140,168,154,93,55,114,125,66,57,160,180,157,60,141,166,158,160,165,168,170,171,174,176,171,158,181,180,128,64,54,116,96,61,14,70,90,26,98,182,134,52,150,166,161,164,167,170,174,175,174,176,161,89,81,161,123,79,25,88,111,87,37,63,99,44,85,166,131,40,132,173,161,165,168,171,174,174,176,181,156,121,48,109,144,88,54,85,129,87,44,57,101,43,53,156,116,22,87,180,162,166,169,173,175,174,193,179,171,142,87,65,156,95,54,56,130,83,37,50,94,45,4,109,109,25,38,176,163,168,170,173,173,182,181,155,192,142,100,40,130,97,49,37,126,82,24,23,63,30,2,80,116,27,36,177,165,169,171,174,172,202,199,130,169,136,113,32,87,104,52,23,112,68,9,0,24,9,27,117,105,17,74,183,165,168,173,174,181,197,179,136,137,106,71,9,60,97,39,4,55,26,3,13,29,7,50,118,95,15,114,181,166,169,174,175,183,188,156,114,126,81,21,3,57,47,16,10,33,27,0,24,26,15,89,114,93,19,149,176,168,170,175,177,178,206,200,162,117,59,49,19,53,53,0,0,61,23,6,53,40,51,109,119,70,29,173,172,170,171,175,179,180,205,205,183,144,77,58,23,75,79,7,40,77,81,112,113,103,85,101,84,37,43,186,170,172,172,176,179,182,205,208,189,163,118,78,69,59,66,122,158,152,153,142,118,110,82,55,47,8,65,191,170,174,171,176,180,181,202,208,188,154,126,89,76,93,125,171,158,162,143,130,114,99,74,30,28,0,127,186,173,174,170,174,178,179,195,201,183,159,140,104,83,110,140,163,154,151,135,119,106,84,60,34,0,80,187,174,175,174,171,174,178,181,188,195,181,163,145,115,95,129,134,149,152,138,121,102,88,70,50,3,45,186,178,176,175,173,172,176,180,182,183,192,179,165,145,120,96,111,125,131,148,126,108,92,75,59,20,18,170,184,178,177,176,174,173,177,179,183,182,185,179,162,145,117,92,81,106,115,124,113,97,82,62,27,8,153,188,177,180,178,174,175,174,176,178,181,184,184,185,163,150,118,75,64,85,96,91,87,81,63,23,6,135,192,176,180,180,177,185,167,175,178,182,192,193,179,156,154,137,92,54,64,76,79,65,53,50,19,58,153,193,180,185,185,182,187,107,23,160,164,169,124,155,196,155,141,119,97,84,80,67,67,48,31,2,98,183,179,172,179,168,153,169,90,0,0,71,75,69,0,81,209,169,154,131,120,101,75,49,51,35,10,0,64,64,68,68,43,9,0,4,0,0,0,67,71,32,0,15,120,159,153,138,115,86,57,37,32,19,0,20,56,42,12,0,0,0,0,0,0,0,0,75,69,15,13,3,3,54,107,115,98,64,41,27,17,0,0,0,28,0,0,0,0,0,0,0,0,0,0,75,53,12,11,6,1,0,12,50,50,29,14,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
12,154,157,160,163,166,169,170,171,173,174,174,176,178,179,179,179,179,179,179,179,179,179,177,176,176,175,175,174,155,158,161,163,167,169,171,173,173,174,175,177,179,179,180,180,180,180,180,180,179,179,178,178,177,176,176,175,156,159,162,165,167,169,171,173,175,176,178,179,179,180,181,180,178,180,180,180,180,180,180,179,178,177,177,177,157,160,163,166,168,170,172,175,177,178,181,185,181,178,191,182,163,166,180,182,181,181,181,180,180,179,179,178,158,161,165,167,169,172,174,177,178,180,196,210,194,171,185,190,156,140,172,183,180,180,181,181,181,179,179,178,159,162,165,168,170,173,176,178,179,183,213,230,212,176,159,177,164,134,161,187,169,163,176,182,181,180,179,179,160,163,166,169,171,174,177,179,180,184,212,221,214,193,164,146,157,144,146,181,159,133,155,180,182,181,180,180,160,163,167,170,172,175,177,179,181,185,200,192,187,192,165,128,146,144,118,144,147,116,129,176,183,182,181,181,161,164,168,171,173,176,177,181,195,199,175,155,163,180,170,152,155,132,101,119,129,107,117,172,184,183,182,182,162,165,169,172,174,176,179,197,221,203,158,124,137,176,185,180,171,147,131,145,124,101,116,173,185,184,183,183,162,166,170,172,175,177,185,216,222,198,159,115,101,147,169,174,184,188,177,162,120,96,124,178,186,185,185,185,163,166,170,173,175,179,199,217,212,203,168,118,79,99,125,151,184,207,199,167,120,95,139,183,187,186,186,185,164,167,171,173,176,184,212,212,203,207,178,131,81,76,87,121,176,202,202,178,144,116,154,186,187,186,186,186,164,167,171,174,178,199,218,203,190,205,194,148,92,80,98,144,190,196,186,166,153,131,145,183,188,187,187,186,163,166,170,173,180,216,224,198,169,179,197,165,111,100,152,193,201,191,176,151,139,127,135,180,188,187,187,187,163,167,170,172,182,224,227,199,165,155,176,180,145,158,206,207,197,185,168,143,124,115,141,183,189,187,187,187,164,168,171,173,187,229,230,204,184,173,158,162,175,213,227,209,192,179,159,137,114,111,155,187,190,189,187,187,164,168,172,174,189,230,230,213,204,191,170,172,208,231,229,209,183,166,148,132,110,116,169,190,190,190,188,187,165,168,172,174,188,228,233,223,212,198,181,182,217,230,221,199,172,153,141,125,108,131,181,191,191,190,188,188,164,168,171,174,185,223,235,226,213,197,184,185,212,222,208,184,160,146,138,118,111,154,189,192,191,191,189,187,163,166,170,174,179,211,230,221,209,198,188,188,205,210,193,170,152,145,134,112,128,177,192,191,191,190,188,187,160,163,167,170,173,198,221,211,201,195,188,185,198,203,184,161,146,138,124,113,151,182,185,184,184,183,182,182,136,138,139,141,143,174,213,201,194,192,182,175,188,198,178,151,135,126,113,108,132,141,140,140,139,139,139,139,108,107,107,107,108,149,208,197,194,193,181,171,180,190,164,134,121,115,105,99,100,100,99,99,98,98,97,98,107,107,106,107,107,147,211,203,202,198,183,170,174,183,154,125,112,106,102,101,99,98,97,96,96,95,95,95,108,108,108,109,109,147,215,214,213,205,187,169,167,177,151,123,107,101,101,102,101,99,98,97,97,96,96,95,109,108,108,109,109,143,213,220,219,205,186,166,160,171,149,121,104,99,101,102,101,100,99,99,98,98,97,96,108,109,109,109,109,137,208,221,217,199,181,165,156,165,145,118,102,99,101,101,100,99,99,99,99,98,96,101
10,105,107,108,110,110,112,113,114,115,115,115,116,117,119,121,121,120,120,121,120,121,122,121,121,119,120,121,121,108,109,111,113,114,115,116,117,117,118,118,119,120,121,122,119,121,122,123,123,123,123,123,123,122,122,122,122,111,113,115,116,118,119,119,120,121,121,121,123,123,122,140,102,104,127,124,126,126,126,125,125,124,123,123,122,114,117,120,119,121,122,122,124,124,124,126,126,126,125,149,102,88,133,126,127,128,128,128,127,126,126,125,124,118,120,122,123,125,125,125,127,127,127,129,129,128,129,153,109,83,133,129,130,131,130,129,128,129,128,127,127,122,123,125,127,128,128,129,129,132,130,130,131,131,132,155,117,84,134,133,132,132,132,131,131,132,130,129,128,124,126,129,131,130,130,131,136,129,135,137,137,135,134,158,126,86,135,137,136,135,135,134,133,133,132,131,131,127,128,131,133,133,133,135,144,100,83,127,122,134,139,159,135,85,131,140,139,138,139,137,137,135,135,135,134,130,132,134,135,137,137,139,127,75,44,67,72,97,146,158,138,83,128,144,141,142,141,140,139,138,138,138,136,132,134,136,137,140,139,141,142,88,50,63,62,69,147,168,145,82,130,147,143,144,144,143,142,141,140,139,138,133,137,139,140,141,142,142,148,132,83,113,78,57,137,148,131,81,133,149,146,146,147,146,145,144,143,142,141,136,139,142,143,143,143,147,156,132,73,148,120,71,92,86,97,76,134,153,149,149,149,148,147,147,145,145,144,139,141,143,144,147,144,144,166,138,50,119,142,94,55,57,75,70,136,154,151,151,151,151,149,148,147,146,145,140,143,146,146,154,162,150,164,147,69,66,154,120,73,60,79,64,135,156,152,154,153,152,152,151,150,149,148,142,145,147,148,152,170,148,153,150,100,39,132,147,97,65,75,62,138,159,154,155,155,154,153,153,152,151,150,143,147,149,150,150,142,127,115,178,141,50,77,157,120,78,62,62,134,161,155,156,156,156,156,155,155,152,151,146,149,150,152,153,145,125,98,149,112,42,61,133,132,103,64,57,137,164,158,158,158,158,157,156,155,154,154,148,150,151,152,155,158,123,115,104,50,58,97,120,131,106,66,53,141,165,160,160,160,160,159,157,156,155,156,150,151,153,155,155,166,149,117,99,76,129,163,136,114,97,67,58,147,164,161,161,161,161,159,158,158,157,157,151,153,154,156,157,172,151,134,133,122,170,171,141,104,89,67,73,163,162,162,163,161,161,160,159,160,159,158,153,155,155,156,158,168,161,150,144,134,175,161,133,103,83,64,89,170,162,163,163,163,162,161,161,161,160,159,153,155,156,158,159,166,162,144,143,138,170,150,125,99,80,61,95,173,164,165,165,164,163,162,162,162,161,160,155,157,158,160,160,161,163,154,155,135,155,144,117,94,76,59,100,174,164,166,166,165,165,165,164,162,161,161,155,158,158,160,161,159,158,158,154,130,152,143,112,89,75,62,109,174,165,167,167,167,166,165,165,163,162,163,156,159,159,160,162,161,158,155,143,120,141,138,111,91,78,63,131,174,166,167,167,166,166,166,165,165,164,164,156,159,159,160,162,160,166,148,127,121,138,122,120,107,76,74,162,171,169,170,169,167,168,168,167,166,165,165,157,158,159,161,163,159,171,159,144,138,134,126,132,115,65,103,175,170,171,171,171,171,170,169,169,168,167,166,155,156,159,160,160,152,169,165,153,143,127,129,126,103,60,143,175,169,171,171,170,169,171,171,169,168,167,166
5,123,129,132,134,140,145,148,152,154,156,156,160,162,162,163,164,165,165,164,164,164,163,163,163,161,160,160,159,124,129,133,135,141,147,151,153,153,166,163,127,165,164,165,166,167,167,167,167,166,164,163,163,162,161,162,161,125,132,135,138,143,148,153,156,150,186,158,115,165,166,167,167,167,167,167,168,166,166,165,166,165,163,163,161,126,133,135,138,144,148,152,154,160,204,120,134,170,166,168,168,168,169,168,165,168,164,166,166,166,164,163,162,127,133,136,137,144,150,155,150,185,204,104,155,170,168,169,170,170,168,168,179,192,127,149,171,166,166,164,163,128,135,134,151,147,145,157,149,204,192,111,164,169,170,170,173,168,174,203,189,151,117,160,171,167,167,165,164,129,137,128,184,156,115,162,153,217,174,117,170,170,171,174,170,180,219,192,124,123,165,172,169,169,168,166,165,129,138,129,189,150,112,162,159,225,157,120,175,171,173,171,181,218,197,134,117,168,175,171,170,170,169,168,167,131,139,134,205,137,122,162,169,223,145,114,176,171,172,181,213,184,128,125,173,178,173,173,172,171,170,169,168,132,139,137,203,145,115,162,174,214,158,108,170,174,174,207,193,119,114,172,179,176,174,174,173,172,172,171,169,132,141,135,192,173,108,161,170,212,161,102,165,179,184,197,151,105,156,184,175,177,177,176,174,175,174,172,171,134,142,137,175,197,114,128,166,204,160,90,145,176,164,148,117,132,180,175,176,179,178,176,176,171,172,174,172,136,141,140,160,202,160,140,129,178,181,119,102,121,125,112,119,169,170,200,206,202,198,190,178,123,144,184,171,137,142,145,151,173,185,178,151,150,168,127,103,103,110,110,139,157,181,175,163,173,190,178,162,133,108,162,178,137,143,146,151,155,163,182,195,199,174,129,100,99,103,121,125,127,145,114,107,185,197,159,133,119,113,159,180,138,143,144,151,160,159,164,202,222,199,143,99,100,100,109,119,112,95,124,177,209,164,117,129,166,178,180,177,140,144,146,152,159,166,166,184,218,210,156,105,97,95,101,109,93,132,194,187,183,123,112,181,186,180,180,179,140,145,147,154,160,165,171,170,206,222,179,120,94,95,93,91,82,137,167,172,182,117,143,191,181,181,182,180,141,145,148,155,161,166,172,170,199,226,195,143,100,91,89,97,110,134,142,167,171,113,161,191,183,183,182,180,140,145,148,155,160,164,170,171,184,231,209,168,114,90,91,100,112,143,159,154,157,113,169,190,183,184,183,181,140,145,147,153,160,165,169,171,181,232,220,188,135,94,93,99,123,155,158,136,128,104,173,189,185,183,182,181,140,145,147,154,161,167,172,173,180,231,222,198,153,105,90,106,136,159,151,120,105,129,190,187,187,183,182,182,141,147,147,155,161,166,171,173,178,225,225,201,171,122,96,99,140,153,144,110,107,182,191,188,187,185,183,183,141,147,148,154,160,167,170,174,176,211,226,204,183,141,111,96,129,146,131,104,120,193,187,187,186,184,182,182,139,145,148,155,162,168,173,179,178,204,221,215,194,165,127,104,108,131,120,100,155,201,192,193,192,189,188,190,132,136,139,143,145,150,152,157,151,196,228,225,203,172,132,112,105,118,108,106,152,160,156,156,156,156,157,147,102,103,103,104,102,101,101,105,91,181,240,224,199,158,127,115,107,109,108,103,94,93,91,92,92,89,86,135,107,108,108,108,109,106,108,113,98,177,233,214,179,132,118,111,108,110,107,101,101,100,100,100,97,103,175,212
24,176,180,185,187,190,191,194,196,198,200,201,204,204,205,206,210,210,211,214,214,215,216,216,216,215,217,217,218,176,180,183,186,190,192,194,197,199,201,201,204,206,207,209,211,211,212,215,214,215,217,218,217,218,220,220,220,177,181,184,187,191,193,195,198,200,203,203,206,208,209,210,212,212,214,216,216,217,218,219,219,220,221,221,220,177,182,185,189,190,193,196,199,201,203,204,207,209,210,212,214,213,213,216,218,219,220,220,222,221,221,221,221,178,183,186,190,191,194,197,199,202,204,206,208,210,212,212,215,215,215,217,219,221,221,221,222,222,221,221,220,178,183,187,191,194,195,198,200,203,205,206,208,211,211,212,213,218,219,219,220,221,221,221,221,222,222,223,222,181,182,196,188,169,199,197,201,204,206,207,209,210,210,217,216,213,207,221,221,222,222,221,221,223,224,223,223,181,180,204,204,149,190,201,201,204,207,209,212,212,192,172,217,215,174,174,225,221,222,222,223,223,224,223,223,181,183,189,208,163,159,205,201,204,208,184,205,230,200,153,191,223,186,134,178,230,222,224,225,225,225,226,224,181,185,186,203,196,157,192,203,214,223,189,177,230,205,166,179,227,192,144,128,226,224,225,227,225,226,214,194,180,185,190,195,222,192,159,199,227,238,203,169,219,215,167,162,225,186,142,110,208,229,223,224,227,219,185,154,181,186,190,190,212,208,165,176,216,247,218,176,187,227,177,144,208,171,134,99,193,232,222,226,219,204,169,138,181,186,190,192,195,210,217,197,196,229,226,181,152,205,185,134,175,161,134,101,152,235,226,210,201,190,146,161,181,187,190,193,193,208,222,214,217,225,212,176,135,174,181,132,145,178,144,107,113,205,207,194,191,161,128,206,182,187,190,193,197,197,216,218,212,221,210,175,154,148,195,151,143,213,151,114,158,172,193,195,163,123,184,235,182,187,190,193,198,196,211,231,207,189,188,188,187,144,200,185,121,194,158,184,209,192,184,171,135,158,234,227,182,187,191,194,197,198,208,228,190,180,178,187,185,159,181,173,127,186,221,220,202,185,164,149,138,226,229,228,183,187,192,195,197,199,205,237,211,191,174,175,183,198,180,174,208,228,218,210,197,178,158,131,186,236,227,229,183,188,192,194,197,203,201,241,232,205,179,169,196,212,221,234,236,223,214,204,189,169,138,144,233,230,230,230,184,188,192,195,198,203,201,238,243,212,199,180,186,209,228,245,232,221,218,203,176,151,124,190,236,228,230,230,184,189,192,195,199,201,199,230,249,220,213,200,186,210,226,241,231,225,217,195,172,136,144,232,228,229,230,230,185,190,192,195,197,200,203,214,245,232,219,212,197,206,224,235,230,220,207,191,174,126,201,236,229,230,230,230,184,189,193,196,197,200,204,206,226,237,226,209,198,205,221,228,222,209,193,183,146,162,236,228,231,231,231,230,184,188,192,195,197,201,206,206,217,240,223,209,198,208,214,216,211,198,179,158,135,221,232,229,231,231,232,233,182,187,191,193,196,200,203,205,212,227,210,206,200,203,208,212,207,194,173,134,175,239,227,229,230,230,230,232,180,186,190,192,195,198,201,203,211,216,206,215,212,212,214,209,199,187,164,130,209,232,227,228,229,228,228,229,180,184,189,191,193,198,201,201,211,230,223,229,220,218,210,203,194,180,150,136,224,227,226,227,228,228,230,229,179,184,189,190,192,198,201,200,211,244,228,227,220,216,203,198,194,173,139,148,232,225,227,227,227,228,229,228
14,180,182,183,182,183,186,187,182,192,214,201,165,134,101,164,188,189,191,186,186,187,187,186,186,185,184,183,183,181,184,185,186,185,188,182,196,226,197,137,112,98,88,113,164,165,164,189,187,187,187,187,187,186,186,186,185,183,185,187,187,187,182,209,234,209,152,91,90,87,90,123,149,130,102,189,190,189,191,191,190,188,188,188,186,184,187,188,188,186,194,243,213,151,107,88,95,83,68,92,113,91,132,202,189,190,192,190,190,191,190,188,187,187,189,189,192,182,211,245,191,100,71,68,76,82,95,90,102,114,131,171,194,192,192,193,193,193,191,190,189,188,189,190,194,186,226,244,183,100,69,63,68,85,104,78,88,145,156,113,146,201,192,195,196,193,193,192,191,188,189,192,194,192,241,232,159,93,76,84,64,66,77,74,72,98,115,84,167,208,195,195,196,196,195,194,193,189,191,194,192,200,245,224,153,85,77,96,74,80,98,108,107,91,97,90,131,156,197,198,196,197,197,196,196,192,193,197,190,210,245,231,180,117,83,82,81,91,84,91,83,92,109,113,113,96,163,200,198,199,198,197,196,194,196,199,190,228,245,231,181,130,96,69,94,98,85,120,148,191,174,144,124,156,137,180,206,199,199,199,199,196,198,197,195,237,245,234,179,124,102,78,94,82,169,215,208,203,208,206,164,175,135,186,207,200,201,200,200,197,198,198,200,242,245,236,189,134,98,84,78,92,200,204,203,204,210,183,148,169,129,196,206,203,201,201,202,199,202,199,206,245,245,240,196,147,102,82,74,167,213,204,206,206,211,174,149,167,122,194,208,204,203,202,203,200,203,200,207,245,245,241,202,152,111,72,93,212,206,208,207,205,216,166,140,167,116,165,215,205,205,205,204,201,204,204,209,245,244,241,204,159,121,69,132,221,205,209,208,211,207,149,140,156,126,138,216,206,207,208,207,202,205,205,210,245,244,242,207,162,123,74,138,219,214,216,218,215,146,141,164,155,117,158,217,207,208,208,208,205,205,202,213,245,244,242,208,161,126,102,68,105,140,142,171,158,121,148,153,139,133,210,212,209,208,207,207,204,205,204,213,245,244,242,204,163,140,119,78,77,87,97,110,116,129,146,147,119,187,218,210,210,209,208,208,206,207,205,219,245,244,241,201,174,156,130,89,90,106,116,128,131,126,137,123,157,221,212,214,211,212,210,210,208,210,205,225,245,244,240,207,187,166,134,102,96,117,122,126,131,128,114,123,217,216,215,215,213,211,212,211,208,211,207,228,245,244,240,219,197,167,133,112,99,116,124,124,129,127,102,184,223,216,216,215,214,214,213,213,209,211,209,233,245,244,240,227,202,167,132,114,102,111,124,120,127,108,167,225,215,216,217,216,216,216,216,215,208,211,207,235,244,243,239,227,198,153,113,103,98,109,119,122,111,131,226,217,219,217,218,217,216,215,216,215,216,220,221,245,245,245,242,221,179,117,91,94,93,104,112,118,105,199,224,217,219,218,219,219,218,217,216,216,186,170,159,169,150,143,125,106,89,66,58,69,87,102,105,99,173,229,218,221,220,220,221,221,218,218,217,218,100,89,77,68,61,55,46,42,43,38,27,27,40,69,91,166,230,218,221,221,221,220,222,222,220,221,218,220,94,89,78,74,70,63,51,48,47,37,28,26,25,18,51,228,223,223,224,224,224,222,223,223,221,221,221,220,93,86,77,70,63,58,50,46,42,34,26,23,27,19,56,230,224,226,224,224,225,223,222,222,222,222,222,222
8,186,185,186,187,187,187,187,186,186,185,184,161,164,183,182,181,181,181,179,177,176,176,175,173,172,171,169,167,186,186,187,188,188,188,188,188,187,188,186,142,135,185,184,184,183,183,180,179,177,177,176,175,173,172,171,168,187,188,189,190,189,189,190,191,189,194,181,122,130,186,185,186,185,184,182,181,180,179,177,177,175,173,171,170,189,190,190,192,192,191,192,192,190,198,173,108,145,189,187,186,186,185,184,183,181,180,179,178,177,174,172,172,190,191,192,194,194,193,193,193,192,207,172,112,158,190,189,188,187,186,185,183,182,182,181,179,178,176,174,174,192,193,193,194,195,194,194,194,194,210,158,110,166,191,189,188,188,187,186,184,183,183,182,181,178,177,176,175,193,195,195,194,194,196,196,195,197,207,152,116,172,193,187,158,174,190,188,186,184,184,183,182,180,179,178,175,194,196,196,196,196,196,197,196,201,208,165,144,175,195,195,154,135,160,172,185,185,185,184,183,181,180,179,176,195,196,196,196,197,197,197,195,204,204,177,163,181,191,199,184,149,130,121,139,181,177,183,184,182,180,179,177,196,197,197,198,198,199,199,197,205,200,186,173,196,192,182,197,180,170,137,92,121,122,126,174,185,182,181,179,197,198,198,199,200,201,201,199,212,190,181,186,199,185,154,165,182,170,143,89,64,73,71,125,186,184,183,180,198,199,200,200,202,203,202,205,200,175,177,173,188,168,134,102,167,179,149,98,59,64,66,97,184,185,183,181,199,201,201,202,203,203,203,215,191,159,152,158,181,148,112,69,136,195,157,105,63,72,68,117,187,185,183,182,200,201,202,203,203,203,211,224,200,167,133,134,168,134,98,84,138,202,163,110,62,60,79,166,188,185,184,184,201,202,203,205,204,204,224,222,197,167,140,132,171,169,165,181,177,183,153,113,67,58,144,189,187,186,185,183,202,203,204,205,205,209,230,213,192,171,151,131,154,205,204,187,185,152,139,116,72,122,189,191,189,188,187,185,203,205,205,205,207,216,228,207,193,168,139,141,189,210,192,169,183,136,124,110,74,168,195,193,190,189,188,187,203,205,206,207,207,224,227,206,194,162,146,183,213,203,183,159,167,130,102,86,88,189,195,194,192,189,188,187,205,206,207,208,209,227,225,210,193,162,175,202,210,192,173,149,149,123,86,66,131,199,196,195,193,191,189,188,207,207,208,202,197,225,221,207,186,165,176,196,191,176,157,139,134,102,70,67,173,200,197,195,194,193,191,189,207,208,209,148,102,174,206,191,171,161,168,179,178,162,144,131,111,80,56,104,196,200,198,196,195,193,191,189,207,210,179,92,71,83,141,172,165,162,161,172,173,149,129,107,81,62,64,166,200,200,199,196,195,194,192,190,209,205,120,72,70,68,75,120,156,162,153,166,160,128,105,82,67,56,129,201,201,201,199,196,196,194,193,191,211,155,81,70,66,65,63,47,74,97,114,144,134,96,77,66,58,108,194,203,202,201,199,197,196,195,193,191,178,94,70,67,63,61,66,43,33,45,51,70,78,66,54,56,120,192,204,202,202,201,199,198,196,195,193,191,102,71,67,65,59,58,64,46,21,38,38,32,31,33,33,123,201,204,202,201,201,201,199,197,195,194,193,190,69,61,59,62,58,53,62,40,15,32,33,26,25,22,22,75,165,205,203,202,201,201,199,196,195,194,192,189,69,56,46,81,71,47,58,27,14,28,28,23,22,22,20,11,107,206,204,203,202,201,200,197,196,195,193,190
4,211,212,212,212,212,213,213,213,213,212,213,213,212,212,212,211,210,207,208,208,207,206,204,203,202,201,201,200,213,214,215,215,215,216,215,215,215,214,214,215,217,214,213,213,213,215,212,209,208,207,207,206,205,203,203,201,218,217,218,218,217,218,217,217,217,218,217,215,213,219,218,209,184,175,210,215,214,213,208,208,208,207,205,204,220,219,219,220,220,219,219,219,219,218,217,203,179,181,217,212,182,141,164,213,178,188,213,210,209,208,207,206,222,221,221,222,222,221,221,221,221,220,225,227,202,172,161,207,200,164,127,178,171,130,177,220,209,211,209,208,223,222,223,224,224,224,223,224,222,216,213,216,224,201,155,155,206,182,129,155,182,134,125,218,212,213,211,210,225,225,224,225,225,226,225,227,218,206,204,162,183,200,142,123,203,181,129,136,184,150,114,213,215,213,212,211,226,226,227,227,227,227,227,227,221,218,209,161,139,180,133,117,183,152,108,156,189,156,126,220,217,216,215,215,227,227,228,227,228,229,228,229,214,174,200,177,133,160,165,116,152,138,96,163,163,120,142,230,217,218,218,216,229,228,230,229,230,229,229,229,227,173,159,202,163,143,192,124,130,156,152,157,124,86,164,232,219,220,219,218,230,230,229,230,231,229,228,231,216,157,131,191,167,183,190,170,173,172,199,169,113,90,202,227,221,222,220,219,231,231,231,231,231,231,230,233,216,191,188,159,112,201,190,179,189,176,186,160,121,113,226,225,224,224,222,220,232,231,231,232,232,232,232,232,227,213,176,139,106,136,167,156,159,156,150,149,139,111,199,233,224,224,223,221,232,232,233,233,233,233,231,230,228,201,161,128,118,116,134,144,144,139,130,161,154,126,129,231,226,225,225,224,233,234,234,233,234,234,233,230,220,183,149,124,122,141,146,174,183,178,160,167,169,159,110,179,238,223,226,224,235,235,236,235,235,235,233,227,221,194,162,132,134,141,165,203,202,217,204,178,206,180,128,125,234,226,227,225,236,236,236,237,236,236,235,225,222,197,164,129,130,150,183,213,214,225,230,210,195,179,125,119,233,228,228,226,237,237,237,236,236,237,236,220,220,207,171,138,136,152,186,221,222,230,220,205,185,153,106,153,241,228,228,227,237,236,237,237,237,238,238,215,219,215,178,151,145,148,196,227,232,230,212,193,174,137,98,203,238,229,229,228,237,237,238,238,238,238,241,215,213,216,188,158,147,153,202,233,232,223,204,183,166,119,120,237,232,231,230,229,238,238,238,239,239,238,241,219,200,207,189,161,148,159,212,230,220,213,194,170,153,103,169,245,230,232,231,230,237,237,238,239,239,238,241,233,197,207,195,165,158,164,217,220,211,201,180,157,132,104,221,240,234,232,231,231,236,237,237,238,238,238,238,240,209,205,200,178,176,161,212,211,208,188,165,146,105,144,246,233,234,233,231,230,237,237,237,238,238,237,237,242,224,201,201,191,176,152,194,201,198,175,147,125,97,214,238,231,232,231,230,230,238,237,238,239,238,239,239,241,231,206,198,184,171,154,175,184,172,149,126,91,161,247,233,234,233,232,232,230,237,238,238,239,238,239,239,242,234,213,201,183,167,156,164,173,152,127,102,108,233,238,236,235,234,233,232,230,237,239,239,239,239,239,240,242,223,214,202,187,174,167,162,168,155,124,90,169,250,234,237,236,233,233,232,232,237,237,238,238,239,238,240,239,209,213,205,198,195,182,169,161,147,116,99,212,243,237,236,236,235,233,233,225
17,160,163,166,167,169,172,172,173,174,174,175,175,174,173,172,172,173,171,169,170,167,167,166,163,161,159,158,155,161,165,168,171,173,173,174,175,177,177,178,177,177,177,176,176,176,174,173,173,170,169,168,166,164,162,159,157,165,170,171,174,176,177,177,178,179,180,180,181,181,180,179,178,177,176,177,176,174,172,170,168,167,165,162,160,167,171,174,175,178,179,179,180,181,182,183,184,184,184,183,178,183,182,175,180,177,176,174,171,169,167,165,163,170,174,176,178,179,181,182,182,184,185,185,186,185,186,182,193,195,149,138,186,178,178,176,175,172,170,168,166,172,176,178,180,182,184,185,186,185,186,187,187,187,188,182,202,227,120,107,190,180,181,179,178,176,173,170,169,175,178,180,183,184,186,188,189,190,189,189,189,190,190,189,190,242,159,115,191,182,183,182,180,178,176,174,173,178,180,185,186,186,187,190,192,192,192,192,194,193,193,192,193,254,202,131,188,186,185,183,182,180,179,178,176,179,184,186,188,190,191,192,194,194,194,194,195,197,194,193,202,255,228,136,175,193,187,187,185,184,183,180,178,183,185,187,191,193,194,195,196,196,198,199,197,196,197,191,218,255,230,139,160,199,190,189,187,186,185,183,181,185,188,191,194,195,195,196,198,199,198,197,198,226,227,183,184,240,242,147,148,202,191,192,189,188,186,185,182,186,190,192,195,197,197,200,200,200,203,208,199,250,239,212,157,185,219,163,140,202,194,193,193,191,188,188,185,188,192,194,197,199,200,202,202,199,242,255,204,181,227,223,236,229,160,127,132,202,196,196,194,193,190,189,187,190,193,196,198,200,201,203,202,208,245,231,221,162,180,159,228,242,184,104,111,202,200,198,196,194,194,192,189,192,195,199,200,201,202,206,205,213,244,154,178,203,115,88,120,243,222,131,88,193,204,199,199,196,195,194,192,193,196,200,201,203,205,208,205,219,237,173,159,148,118,117,89,224,255,172,81,167,210,199,201,198,197,195,193,196,199,200,204,205,208,211,206,223,253,220,175,146,146,156,134,209,255,200,100,157,213,201,203,201,197,196,195,199,200,201,205,208,210,211,207,229,253,185,155,160,178,183,195,247,255,210,120,153,217,204,204,205,209,207,195,198,200,204,206,208,209,211,208,227,252,205,179,175,199,193,245,255,238,196,126,151,220,205,210,194,154,144,113,199,201,203,206,208,208,210,209,223,255,227,192,175,203,217,255,255,232,179,120,157,218,208,200,112,91,88,82,199,201,204,206,209,210,212,212,221,255,239,214,183,208,247,255,250,219,170,111,152,216,214,149,86,94,90,88,199,204,206,208,211,212,214,215,220,255,252,230,205,205,250,255,238,211,164,99,157,233,160,87,74,60,52,37,199,204,208,210,213,215,215,216,217,255,255,241,227,213,238,255,225,203,162,91,148,151,86,73,64,42,40,23,202,205,209,211,213,216,216,217,215,250,255,248,237,217,211,241,213,201,149,95,89,86,85,74,56,30,26,29,196,200,205,209,211,214,215,218,216,235,255,251,231,204,193,211,198,201,144,89,69,81,77,81,70,34,15,19,117,120,124,127,124,125,129,133,131,158,255,247,214,184,180,187,199,190,129,80,43,62,64,61,84,58,17,9,94,99,100,96,96,96,95,95,92,118,255,218,187,171,173,184,197,168,97,70,51,27,54,43,69,78,32,6,107,109,109,105,110,112,111,110,117,64,213,215,181,170,182,179,172,134,66,0,31,21,31,35,47,76,50,12
8,148,147,148,149,148,148,149,148,148,146,149,125,129,148,144,143,144,143,142,140,139,139,138,137,135,135,133,131,148,148,149,150,150,150,150,149,149,149,153,105,96,153,145,146,146,145,142,141,140,140,139,138,136,136,135,132,149,150,151,151,151,151,151,153,149,156,149,83,94,154,145,148,148,147,144,143,142,142,140,140,138,136,135,133,150,151,151,154,153,152,154,154,150,161,142,67,111,156,147,148,148,146,146,145,144,142,142,141,140,138,136,135,151,153,153,155,156,154,154,155,151,170,141,73,124,156,149,149,149,147,147,146,144,144,143,142,141,139,137,137,153,154,154,155,156,155,155,156,153,175,124,71,133,156,149,153,151,147,147,146,145,145,144,144,141,140,139,138,154,156,156,154,155,157,156,156,156,171,116,76,139,157,149,116,140,158,150,147,146,146,145,145,143,142,141,138,155,157,157,157,157,157,158,156,161,172,128,108,138,159,160,113,94,126,139,153,146,148,146,145,144,143,142,138,156,157,157,157,157,158,158,154,165,165,140,125,143,152,162,151,112,91,82,104,154,142,151,147,144,142,142,140,157,158,157,158,158,159,160,156,165,162,150,132,161,154,142,164,144,142,108,54,93,92,90,145,147,144,143,141,158,158,159,160,160,161,161,157,176,151,140,150,162,149,114,132,148,133,113,60,32,49,35,92,156,144,145,143,159,160,160,160,162,163,161,164,163,135,142,136,151,134,104,63,138,145,116,70,32,40,40,61,154,146,145,143,160,161,162,162,163,163,161,177,152,120,117,122,148,114,87,29,100,167,121,76,36,55,38,83,157,145,145,145,160,161,162,163,163,162,168,185,162,133,94,99,137,97,63,43,102,174,128,81,35,35,42,139,152,147,147,146,161,161,162,165,164,161,184,182,158,131,106,97,141,132,129,155,143,147,120,85,41,20,117,157,147,148,147,145,161,163,164,165,164,166,190,171,153,135,121,94,112,174,169,149,149,114,107,91,39,92,162,151,150,150,148,147,162,165,164,165,165,175,188,165,156,133,102,102,153,174,152,128,152,100,93,86,36,140,158,153,151,150,149,148,163,165,166,166,164,182,186,164,158,125,105,148,179,162,145,121,137,98,73,59,51,160,155,154,154,150,149,149,165,166,167,167,167,184,184,168,157,122,139,167,172,153,138,113,116,94,61,32,99,169,154,156,154,152,151,150,166,166,168,165,163,189,180,168,149,128,139,160,152,140,122,104,106,73,45,31,145,162,157,156,155,154,153,150,167,165,178,114,56,147,174,151,132,124,131,142,141,126,110,101,84,55,24,70,168,158,159,157,156,154,152,150,165,171,149,56,43,45,112,143,127,125,125,135,139,115,99,79,54,39,26,139,164,160,159,157,156,155,154,151,166,176,84,41,49,44,40,93,131,134,119,132,128,96,77,55,46,19,98,171,159,162,159,156,156,155,154,153,179,124,45,47,41,42,41,14,46,69,84,119,107,66,51,46,21,74,169,162,162,161,159,158,157,156,154,152,152,57,44,44,40,36,46,21,8,21,22,43,54,42,32,17,86,167,164,162,162,162,160,159,157,156,155,152,72,43,45,42,36,34,43,26,0,21,18,8,7,14,3,105,183,161,161,161,161,161,159,157,156,154,154,152,42,38,36,38,35,29,42,20,0,15,14,7,7,3,0,48,133,167,162,162,161,161,159,157,156,155,153,150,47,34,17,62,49,19,40,4,0,10,9,3,3,4,5,0,72,177,161,163,162,162,160,158,157,156,154,151
5,170,171,170,171,172,172,171,171,171,169,170,170,169,167,166,165,164,161,160,158,158,156,155,153,152,152,150,150,176,175,175,175,176,175,174,175,176,173,172,172,171,170,170,169,167,165,163,161,161,160,157,155,153,153,153,152,180,180,181,180,179,180,180,179,180,179,177,176,175,176,170,172,169,164,168,164,162,163,162,159,157,156,153,151,183,184,184,183,181,185,185,184,182,183,182,180,178,173,175,196,125,137,178,168,166,164,163,161,160,157,156,153,186,187,188,187,191,174,184,190,186,186,184,181,186,177,158,114,83,161,176,170,171,170,167,164,163,161,159,156,191,192,195,189,217,138,143,203,191,190,186,199,189,124,95,125,169,181,177,175,173,173,170,168,167,164,162,159,197,196,198,195,212,111,141,208,195,186,196,191,117,105,187,198,192,186,181,181,183,177,173,172,170,167,164,163,201,200,200,201,194,105,172,209,191,170,161,109,112,168,133,134,134,135,134,130,157,175,179,176,174,170,169,168,204,204,204,205,174,110,196,210,191,142,97,105,195,104,85,100,124,140,142,140,136,160,130,172,178,174,172,171,208,208,208,208,190,110,174,217,183,130,96,123,140,91,98,90,100,101,88,102,111,110,115,180,179,176,174,172,211,212,211,212,196,112,157,225,171,126,100,95,108,109,78,58,54,52,57,65,69,72,153,188,184,179,177,176,213,214,215,214,188,128,107,210,171,113,76,76,92,85,58,64,77,72,91,92,120,141,129,112,177,188,179,178,216,218,218,221,176,144,135,135,137,115,92,74,67,47,58,88,63,98,144,149,172,147,135,126,123,182,184,181,220,219,221,223,217,166,164,146,113,121,103,72,70,58,62,61,107,207,213,209,203,173,179,171,119,184,187,184,222,221,222,222,226,209,165,183,175,136,88,64,57,71,55,134,216,209,203,206,172,168,178,117,156,198,185,186,223,224,224,226,224,230,200,189,190,155,109,58,60,51,91,232,215,208,214,186,144,176,137,111,200,194,192,189,225,225,227,228,227,229,224,186,198,168,121,62,60,55,103,192,205,225,201,165,157,152,77,165,208,195,195,192,227,228,228,228,230,231,228,196,204,178,131,75,61,83,80,99,128,162,152,158,152,87,128,211,200,200,197,194,228,229,229,229,230,230,231,191,210,190,136,87,63,82,86,103,130,110,126,153,98,125,218,205,202,201,199,195,229,230,232,231,231,231,234,191,214,189,136,105,67,75,87,102,127,130,105,98,109,216,211,207,205,203,199,197,233,232,233,235,233,234,234,193,217,189,144,120,74,69,90,108,122,115,76,73,205,218,211,210,207,205,202,200,235,235,236,236,235,237,233,197,211,186,151,121,79,63,92,106,111,87,65,192,225,215,214,212,210,206,204,201,236,236,237,237,237,238,235,198,196,177,149,122,81,61,89,92,93,50,138,238,216,219,216,215,213,209,206,203,238,237,237,238,239,240,236,197,193,177,145,122,80,64,82,90,69,71,221,225,222,220,218,217,215,210,207,205,239,239,239,239,239,242,231,199,196,174,145,118,80,65,77,68,51,185,235,223,225,221,220,218,215,211,209,207,239,240,241,240,242,245,226,207,199,178,153,109,72,64,52,55,180,241,226,228,226,222,221,219,216,213,211,208,239,239,239,241,242,241,221,207,196,182,146,94,66,50,95,212,242,231,230,228,228,225,222,220,218,214,212,210,238,239,239,241,240,234,207,186,191,173,130,80,63,64,220,244,227,233,230,227,226,223,221,219,218,215,212,211
2,182,184,186,187,187,187,187,186,186,186,184,184,184,183,183,181,180,179,178,179,179,178,174,176,159,54,43,57,184,186,187,188,188,187,188,188,187,188,186,186,186,184,183,183,183,182,180,179,179,178,175,182,141,42,49,67,186,187,188,190,189,188,189,190,189,189,189,189,185,184,185,182,175,181,183,183,180,179,179,181,157,66,57,64,188,189,190,190,191,191,190,190,190,190,189,187,188,192,192,159,96,117,152,113,180,184,180,178,183,94,62,65,188,191,193,193,193,193,193,192,191,191,193,202,197,178,135,100,68,59,91,59,134,188,180,179,186,110,50,49,190,191,194,194,194,194,195,195,192,199,211,209,151,93,73,62,52,55,61,63,51,147,191,179,188,145,42,25,190,192,194,195,196,196,196,197,194,206,208,163,96,44,49,53,40,44,51,56,39,139,194,183,183,185,59,8,193,195,196,196,198,197,198,197,199,227,165,82,63,43,37,47,51,45,57,76,127,187,185,186,183,188,119,72,194,195,197,196,198,200,200,194,212,222,130,61,58,57,48,52,44,119,177,187,195,187,188,186,184,188,142,126,196,196,198,198,200,202,201,195,229,202,118,68,56,59,48,65,141,195,195,190,187,189,190,189,184,195,92,126,196,197,198,201,202,202,199,207,228,173,96,50,48,49,47,120,212,191,194,192,191,191,190,189,187,193,102,160,198,197,200,202,203,203,198,222,221,160,104,66,63,49,44,131,207,194,195,195,194,192,189,189,189,191,153,138,200,202,203,203,205,203,205,237,212,149,98,76,71,66,43,162,205,196,197,196,194,193,192,190,190,190,188,151,202,204,205,205,205,202,220,240,192,131,87,70,68,68,68,188,203,197,198,196,195,195,194,193,191,191,187,176,202,204,205,206,205,200,235,232,177,120,77,66,65,67,71,191,203,199,198,197,196,196,195,193,192,191,190,180,204,204,205,207,204,205,247,224,168,113,76,68,70,70,78,198,202,200,199,198,197,196,195,194,195,193,189,187,203,205,207,209,202,223,246,207,157,105,74,69,72,62,79,210,202,201,202,201,197,197,199,199,197,195,196,190,204,206,209,208,203,244,236,191,144,96,69,67,62,62,50,148,215,199,201,203,204,199,180,165,150,140,147,188,206,208,209,203,215,247,223,176,129,90,70,58,56,61,64,64,202,214,207,199,170,146,146,143,139,126,74,136,209,210,211,200,231,241,208,161,121,89,68,47,53,60,68,53,112,179,166,143,140,145,154,139,109,110,111,160,208,212,204,208,244,233,200,152,112,85,61,42,61,69,70,75,63,84,120,146,161,151,115,84,123,185,197,196,207,209,196,234,244,225,189,149,107,77,54,49,77,83,93,93,93,101,128,147,128,95,70,138,205,197,194,193,209,195,219,246,236,217,181,141,99,76,52,62,87,94,105,101,100,106,113,95,92,133,176,203,195,195,194,192,197,209,246,234,223,206,175,132,91,76,55,76,92,97,103,100,91,76,74,129,188,208,204,198,196,196,194,193,201,231,233,228,216,196,164,116,85,76,64,90,100,102,94,84,61,82,166,210,207,201,201,202,198,196,195,193,227,223,222,215,196,171,141,98,82,69,71,90,96,96,72,62,144,203,210,203,203,202,202,202,199,197,195,193,221,219,208,187,162,145,109,82,70,68,77,81,87,66,62,163,217,207,203,205,204,203,202,201,199,197,196,196,223,213,190,162,141,129,90,68,66,73,70,69,65,89,182,216,203,205,205,205,204,203,203,202,200,197,197,196
0,216,216,216,216,216,216,216,216,215,214,213,213,213,213,211,211,210,210,209,207,206,206,205,204,202,202,200,199,217,218,217,218,218,216,216,217,217,215,215,214,214,213,213,211,211,210,210,209,207,206,205,204,202,202,201,201,218,218,218,218,218,217,217,218,217,216,216,216,217,214,214,212,213,209,209,209,208,208,207,205,203,203,202,202,220,219,219,219,218,218,220,219,218,217,217,215,208,217,217,215,214,218,210,211,210,207,207,206,205,204,203,202,220,220,221,221,219,219,219,219,217,221,217,196,162,162,210,186,165,173,217,207,206,212,207,209,208,204,203,202,220,221,221,222,221,220,221,208,179,184,210,187,164,129,152,176,149,118,159,169,144,160,210,191,194,207,203,203,223,222,221,222,220,220,220,204,181,152,168,205,164,136,141,190,159,130,116,165,139,102,157,174,153,212,203,203,223,222,222,221,221,221,220,221,195,175,139,191,171,141,137,189,164,131,127,175,153,111,108,171,141,209,205,204,224,224,222,222,221,226,218,204,203,176,126,178,178,142,135,187,163,130,109,161,146,112,97,162,131,193,210,206,225,224,223,223,223,226,207,168,200,155,118,179,165,130,126,174,150,120,97,150,136,103,99,164,133,149,215,204,225,225,224,225,225,221,188,152,196,145,119,173,146,114,120,164,140,110,108,171,150,96,96,167,158,120,182,211,225,224,224,224,227,221,206,179,193,161,133,168,155,117,122,173,147,100,150,193,150,87,112,170,161,122,138,218,225,225,226,225,228,213,191,171,172,160,131,175,170,117,140,187,158,109,141,180,114,85,158,179,159,108,151,217,225,227,227,229,224,194,168,149,135,121,114,176,162,111,131,188,157,104,65,83,70,129,184,179,140,104,199,211,228,227,228,227,221,202,176,150,126,119,115,126,137,110,92,121,121,120,142,109,119,182,179,165,109,148,220,206,229,228,228,225,217,200,178,151,130,127,134,129,134,139,131,135,168,191,187,180,158,169,168,136,102,200,213,208,229,229,230,228,219,203,182,158,134,125,132,142,160,172,181,194,197,186,174,173,151,148,154,105,136,220,209,210,228,228,229,226,221,203,184,165,145,135,134,146,179,192,201,199,193,182,172,168,144,130,133,89,186,219,211,211,228,229,229,226,222,206,189,171,151,150,141,176,206,204,204,199,190,176,166,162,133,119,92,131,221,212,213,212,229,230,229,227,225,211,194,179,167,162,170,201,209,206,204,197,185,173,159,146,122,88,113,211,217,214,214,213,230,230,230,227,225,213,197,185,176,169,192,203,208,209,203,185,176,166,150,134,95,102,211,219,215,216,214,213,229,231,230,226,223,217,204,190,178,172,200,205,209,207,193,176,165,155,139,106,91,202,221,214,216,217,215,212,230,231,231,225,221,216,206,195,180,173,197,206,199,194,179,164,150,141,113,85,190,226,216,218,216,217,215,213,231,233,233,228,222,219,209,203,190,178,192,200,189,180,167,151,137,112,81,178,228,218,221,218,217,216,214,213,232,231,233,230,225,216,208,204,196,184,189,193,180,166,156,140,110,82,176,230,219,222,219,218,218,216,215,214,232,232,233,228,222,214,217,217,206,192,186,184,167,154,145,116,84,180,233,222,224,222,219,218,218,216,215,215,232,232,232,227,226,213,216,217,200,190,181,175,156,137,127,89,177,235,223,224,224,223,220,219,219,217,216,215,232,232,230,223,218,196,213,204,193,186,176,160,146,131,100,128,236,224,225,224,224,222,221,221,219,218,217,215
6,138,140,143,144,147,149,151,153,155,158,158,159,161,161,162,164,164,164,163,163,163,164,165,166,166,166,166,165,140,142,143,144,146,150,152,154,156,157,158,159,161,160,162,164,164,164,165,164,164,165,165,165,166,166,166,165,141,141,143,145,148,150,152,154,156,156,158,159,162,162,162,163,164,163,164,165,163,165,165,165,166,167,166,165,141,142,144,147,150,151,153,156,157,158,159,161,163,164,164,163,163,164,165,164,163,163,163,164,166,168,167,165,143,144,146,149,151,153,154,157,158,159,161,163,163,163,159,150,137,140,148,145,142,137,126,148,155,152,166,167,144,145,147,151,152,154,156,158,159,160,162,164,165,163,158,141,119,120,131,133,127,121,112,121,136,122,164,168,144,145,147,151,153,155,157,158,159,161,167,170,167,161,146,125,112,103,102,105,102,102,101,100,106,132,169,169,145,147,149,151,153,156,159,161,162,165,163,155,145,130,110,93,90,99,104,112,123,131,138,144,153,168,170,170,147,149,151,153,154,160,167,156,146,142,141,137,135,127,115,99,107,133,148,168,172,174,175,173,172,172,172,171,149,151,152,154,155,178,173,142,125,123,127,131,136,138,134,127,121,117,108,160,176,175,175,174,174,174,173,173,149,151,152,155,157,189,166,140,135,128,123,118,120,123,123,118,110,104,86,148,178,176,176,176,176,175,175,175,150,151,155,157,159,189,164,155,158,139,125,125,124,129,131,124,110,99,93,156,179,178,178,177,177,177,177,176,151,151,155,157,164,191,180,185,172,142,123,121,120,122,124,121,116,110,99,130,179,180,179,178,179,179,178,177,151,152,156,157,170,193,191,187,173,157,144,126,110,99,107,110,105,99,91,83,145,182,180,180,180,180,180,179,152,154,157,157,177,193,190,184,183,177,162,136,119,114,122,118,104,93,89,67,106,183,182,181,180,181,181,180,153,155,158,158,185,195,192,190,190,178,164,145,127,119,122,118,109,100,98,79,127,183,182,181,181,183,183,182,153,155,157,160,190,195,192,191,189,177,163,141,127,124,121,118,113,106,97,117,174,183,183,182,182,183,183,182,154,156,157,163,194,192,191,189,186,171,149,137,129,124,114,106,109,106,97,159,184,183,183,183,182,184,184,182,156,157,159,166,196,192,190,187,179,152,141,139,129,110,96,68,86,96,108,177,184,183,184,185,185,185,185,183,156,158,158,171,192,188,187,183,167,139,134,137,125,92,64,52,73,93,145,184,183,184,185,186,186,185,184,183,157,158,157,177,188,184,183,174,151,132,137,134,113,93,66,72,110,145,180,186,186,186,186,186,186,185,186,184,158,159,159,182,185,179,177,163,145,133,143,131,110,91,73,98,178,185,185,186,187,187,187,187,186,186,187,185,158,161,160,182,181,178,170,155,141,144,148,127,108,89,77,125,189,187,187,187,188,188,188,187,187,187,187,186,158,160,158,178,179,171,158,151,140,148,142,119,102,87,88,163,189,188,188,188,189,188,188,188,188,188,187,186,159,161,158,173,173,166,155,142,139,148,132,112,97,86,129,186,188,189,189,189,189,189,189,189,189,187,186,186,159,160,155,177,177,164,154,137,141,142,124,108,90,110,179,190,189,190,190,190,190,190,190,189,189,188,188,187,158,157,156,179,173,159,149,137,140,133,115,100,87,152,192,191,192,192,192,190,190,191,191,189,189,189,189,188,160,155,159,174,165,148,139,138,133,124,107,93,90,168,191,191,192,192,193,192,192,193,191,191,189,189,189,189
7,158,157,158,157,157,157,157,157,157,156,155,153,152,152,151,150,148,147,146,145,143,143,142,141,139,135,134,133,160,160,160,159,160,160,160,159,158,158,157,156,155,154,152,152,151,150,148,147,146,144,144,141,140,138,135,137,161,161,162,161,162,163,162,161,160,159,158,157,156,156,156,155,153,152,150,148,148,146,145,143,141,140,137,136,162,162,162,163,163,163,163,163,161,160,159,158,159,158,157,156,156,154,152,151,150,148,146,146,144,141,139,138,163,163,164,164,165,165,164,164,163,162,162,162,160,158,158,157,156,155,154,153,151,150,148,146,146,143,141,140,165,164,164,165,165,167,166,165,164,163,163,163,162,160,160,159,157,157,155,154,152,152,151,149,147,145,143,142,167,166,166,167,167,167,167,167,166,164,163,164,163,162,161,161,159,158,157,156,153,152,151,149,148,146,144,144,168,168,168,168,168,167,167,168,167,166,165,164,163,163,162,161,160,159,159,157,156,156,154,153,150,147,146,144,169,169,168,169,169,169,168,168,167,167,166,165,166,167,166,166,163,163,161,157,155,150,148,146,149,150,147,146,169,169,169,170,170,170,169,172,173,171,167,165,161,154,146,137,129,115,111,114,116,97,101,128,121,144,150,147,170,171,171,170,170,172,171,157,137,122,116,111,112,106,99,96,99,79,85,90,86,85,91,120,98,135,153,149,171,171,171,172,174,165,146,128,111,85,90,97,97,100,97,99,80,75,70,69,68,71,58,75,110,149,155,150,172,171,174,172,151,136,133,129,110,80,76,76,75,79,81,85,83,90,84,63,69,65,61,65,70,78,127,154,171,176,166,136,125,129,129,121,113,100,89,88,90,97,101,100,102,96,88,55,62,66,56,53,43,61,84,155,177,160,130,126,127,128,120,121,122,112,100,97,96,103,95,91,87,79,65,43,43,45,42,45,44,53,110,156,155,133,132,130,128,125,124,129,119,101,66,59,70,73,64,61,66,68,71,85,107,120,131,134,138,143,153,151,129,137,138,132,129,130,128,112,103,80,43,47,51,36,100,146,146,158,165,168,170,167,166,165,160,157,157,159,132,136,135,132,131,125,108,97,96,74,56,39,35,36,41,142,178,167,166,163,160,160,159,155,156,160,142,117,131,131,134,136,130,113,100,90,89,97,94,52,32,39,18,96,178,165,167,164,160,160,162,165,154,96,56,44,129,133,137,131,115,94,87,85,87,98,86,44,34,28,51,161,169,167,165,169,171,165,146,108,66,37,32,38,131,133,129,112,95,85,82,78,76,78,53,34,20,42,159,174,170,171,173,153,122,87,54,36,33,38,29,34,129,121,105,96,94,89,88,76,60,57,51,39,22,59,186,163,158,157,127,68,43,34,37,38,38,39,27,27,112,101,98,95,87,78,66,54,49,61,65,41,24,92,113,62,58,55,41,38,49,35,29,35,36,37,26,21,102,101,96,79,64,58,54,54,59,66,49,34,47,59,26,26,34,24,37,29,32,37,16,26,34,36,24,20,101,95,82,70,65,63,59,54,50,42,40,52,50,45,37,17,34,23,27,23,25,27,13,20,31,34,19,22,87,73,66,67,65,60,50,43,46,48,50,44,37,31,33,16,21,24,17,20,23,19,10,17,30,30,15,23,52,41,46,50,52,51,56,61,45,47,39,34,27,31,26,20,9,22,13,17,21,13,10,16,29,27,13,23,34,67,81,79,77,80,81,62,36,27,34,33,22,26,21,22,5,14,14,15,21,10,12,19,27,25,10,27
18,178,179,181,181,181,182,183,183,183,183,182,182,180,179,179,178,176,177,176,175,173,171,172,169,167,166,165,163,179,181,182,181,183,185,185,186,185,186,185,183,181,180,179,179,179,179,178,176,175,173,172,171,168,168,166,165,180,181,183,183,184,187,187,187,187,187,187,186,185,187,189,184,182,185,186,185,176,175,176,173,170,168,166,164,182,183,184,185,188,188,188,189,190,189,188,187,189,173,144,174,189,155,122,144,186,178,165,174,176,169,168,167,182,185,188,188,189,189,190,191,191,191,193,194,193,152,96,87,148,140,96,55,141,146,102,92,158,176,170,171,184,185,189,190,189,191,193,192,193,185,148,151,188,158,121,81,91,179,107,81,58,110,103,56,79,184,171,172,186,187,189,192,191,192,193,191,197,186,136,111,118,174,131,97,73,165,117,96,87,82,96,78,39,155,179,170,189,191,190,193,193,193,194,195,199,193,166,146,101,124,156,102,68,109,134,113,105,95,116,97,37,145,183,172,190,191,192,193,194,196,198,197,197,175,184,145,125,77,135,113,79,75,139,126,111,110,108,89,37,151,184,175,190,191,192,193,194,197,198,198,207,146,143,148,110,47,101,122,78,56,119,110,105,104,105,91,35,136,189,176,191,191,193,195,196,198,198,202,197,119,85,149,77,34,79,92,54,39,97,65,84,143,134,99,43,115,193,177,190,193,195,196,198,199,198,205,192,145,106,135,78,40,66,67,42,30,67,42,57,170,143,110,54,91,195,178,193,195,196,197,199,200,198,206,200,174,127,116,100,51,63,80,49,27,66,45,30,137,153,122,72,63,191,180,195,196,197,198,199,200,199,206,200,160,122,91,76,37,65,90,44,27,56,97,145,145,174,138,84,42,174,185,195,196,199,200,200,201,200,207,182,136,109,85,58,40,44,51,36,45,91,164,174,156,150,134,83,34,158,191,197,197,200,200,200,203,203,206,196,167,135,104,74,69,62,59,87,123,165,179,168,161,129,107,70,33,166,189,197,198,199,201,202,205,204,206,202,177,144,105,74,68,78,99,131,161,187,186,161,140,117,83,47,58,192,185,198,198,199,201,204,206,206,206,204,183,152,117,92,82,82,96,154,181,194,180,148,127,106,74,23,111,200,183,200,200,201,203,205,205,207,206,202,188,159,130,105,94,86,110,177,188,187,169,139,116,97,61,29,170,194,186,199,202,202,203,206,206,208,205,196,184,157,131,114,103,95,122,188,180,173,159,134,106,88,42,64,200,189,189,199,203,203,204,205,206,208,205,188,173,159,136,120,118,102,130,181,175,161,140,124,100,77,24,118,205,188,189,200,203,204,205,205,207,208,209,190,174,164,143,129,131,108,138,171,170,155,125,109,88,60,27,173,196,190,189,202,203,205,207,209,210,210,213,201,171,163,152,138,127,104,132,166,158,146,120,93,76,32,74,206,190,192,191,203,204,205,208,209,209,211,213,208,181,170,160,143,125,103,114,152,145,128,103,78,60,18,158,204,194,193,191,203,205,207,209,209,210,211,213,212,196,177,162,149,135,117,111,133,133,114,90,70,28,69,209,195,196,194,193,203,204,207,210,209,212,211,211,210,205,188,167,146,131,121,112,123,126,104,82,56,16,160,207,197,196,194,193,206,206,207,208,210,212,211,211,210,208,193,162,145,141,138,131,120,117,96,76,31,77,211,196,198,197,196,194,207,207,208,209,209,211,212,214,208,206,192,167,161,158,141,130,112,110,88,62,25,149,211,199,199,198,196,195
3,180,182,184,186,187,189,190,190,189,190,189,189,189,189,190,187,187,185,183,183,181,178,176,173,171,170,168,165,181,183,185,188,189,189,191,191,191,192,191,189,189,189,188,191,189,186,184,183,181,179,177,175,172,169,169,166,182,184,186,188,189,189,190,191,191,191,191,191,189,194,168,147,191,186,186,184,182,180,178,176,173,171,170,168,183,185,186,189,189,191,192,193,192,192,192,192,191,197,166,108,183,189,185,184,183,181,178,175,173,172,170,169,184,185,188,190,191,192,192,192,193,193,193,192,191,196,166,102,170,193,186,185,183,182,179,176,175,173,172,171,185,187,190,191,193,194,195,195,195,196,196,194,192,196,161,94,166,196,187,187,184,183,181,178,177,175,173,171,186,189,191,193,195,197,197,197,198,199,198,197,195,200,178,105,158,198,188,188,187,185,183,181,179,176,175,174,189,191,193,195,196,198,199,200,199,199,199,199,197,194,166,102,147,202,190,190,189,186,184,182,181,179,177,176,190,193,195,197,198,199,201,201,201,201,201,199,203,183,142,100,137,201,192,191,190,188,187,184,182,181,178,177,191,194,197,199,201,202,203,203,204,204,204,201,207,215,187,130,161,153,183,196,190,189,188,186,183,182,180,178,192,195,198,201,203,204,205,206,206,205,207,201,159,156,189,146,179,120,139,206,190,191,189,188,185,183,182,179,193,197,200,202,203,204,206,207,208,206,201,204,162,118,141,150,158,144,91,153,200,192,192,190,187,185,182,181,194,198,201,202,204,205,206,207,208,208,154,144,191,152,114,153,157,154,116,95,173,199,191,191,188,186,184,181,196,199,202,204,205,206,207,209,211,204,170,133,157,177,120,139,144,142,138,93,157,205,193,192,189,188,185,183,197,201,203,205,205,207,209,211,211,171,182,162,128,167,132,85,80,150,146,89,172,204,195,192,191,189,186,184,198,202,204,206,207,209,209,214,196,141,139,163,105,130,124,75,69,148,152,95,183,203,196,193,192,190,187,185,198,201,204,206,208,210,210,215,195,150,103,139,84,106,139,101,101,158,151,96,186,203,197,195,193,192,189,186,199,201,205,207,209,210,212,211,177,141,106,115,104,95,143,104,144,162,135,94,194,204,198,196,195,193,189,187,200,202,206,208,211,211,213,209,191,163,120,101,104,116,164,156,166,147,99,116,211,201,200,198,196,193,190,187,200,203,206,210,210,212,215,212,198,175,134,121,111,169,207,189,155,134,83,163,213,200,202,200,196,195,191,188,202,204,206,210,211,213,215,211,195,178,146,126,122,187,190,170,150,124,94,200,207,203,202,200,197,196,191,189,201,204,207,210,211,213,215,212,185,170,151,136,133,186,183,164,146,103,122,218,205,204,202,201,199,196,193,190,199,204,207,211,212,214,216,217,190,173,162,151,138,176,177,155,128,85,174,217,206,205,205,202,200,197,194,192,200,204,208,211,212,214,217,220,205,178,172,156,135,154,156,134,93,110,219,210,208,206,205,203,200,198,195,193,200,204,209,212,213,214,216,219,214,191,174,157,139,136,140,120,77,176,220,209,210,207,205,203,201,198,196,193,201,205,209,212,213,215,216,218,215,199,170,160,154,142,135,99,105,219,212,211,210,208,205,203,201,199,198,194,201,204,208,211,213,216,217,219,206,198,180,176,162,144,126,83,139,225,210,213,212,211,207,203,202,200,198,196,200,204,208,211,214,217,218,217,196,202,191,176,157,134,112,77,167,224,211,211,210,209,206,204,201,199,197,194
0,162,164,166,168,169,170,171,174,173,171,172,173,172,171,172,171,170,170,170,169,167,166,166,164,162,163,162,160,163,165,167,169,171,171,172,174,173,172,174,175,174,173,173,171,171,171,170,169,167,166,166,166,166,164,163,162,163,166,169,169,171,172,172,175,175,175,175,175,174,174,175,176,176,170,171,175,170,168,167,163,156,164,165,164,165,165,168,170,173,174,175,176,176,176,177,178,179,176,174,161,164,180,166,147,167,171,172,169,114,151,168,163,165,167,170,172,173,175,175,177,179,177,177,167,152,171,161,119,93,133,141,100,94,166,179,163,96,152,170,164,165,169,171,172,173,176,176,173,164,180,179,144,99,92,135,121,97,64,103,117,72,122,181,148,90,159,170,166,168,171,172,175,176,175,177,166,116,111,166,140,109,71,116,131,115,80,98,123,85,113,170,145,82,146,175,166,169,171,173,175,175,177,180,163,138,88,130,155,116,92,114,144,115,85,94,124,84,91,163,135,70,114,180,167,170,172,174,176,175,188,179,173,153,115,99,163,121,92,93,145,112,80,89,120,85,57,130,130,71,81,177,167,171,172,175,175,181,180,162,188,153,124,82,145,122,88,80,142,112,71,70,98,75,56,110,135,73,79,177,169,172,173,176,174,195,193,145,172,149,133,76,115,126,91,70,132,102,61,52,71,61,73,136,127,66,106,182,169,171,174,176,180,191,179,149,149,128,103,61,96,122,81,57,92,72,56,63,74,59,89,136,120,64,133,180,170,172,175,176,182,185,163,133,142,110,69,57,94,87,65,61,77,73,53,71,72,65,116,134,119,67,158,176,171,173,176,177,178,198,194,167,135,95,88,68,91,91,52,53,97,71,59,91,82,90,130,137,103,74,175,174,173,173,176,178,180,197,197,182,154,108,94,70,107,109,59,82,108,111,132,133,126,114,125,113,80,84,183,173,174,174,176,179,181,197,199,185,168,136,109,102,95,100,139,164,160,161,153,136,131,111,93,87,60,99,187,173,175,173,177,179,180,195,199,185,161,142,116,107,119,141,173,164,167,154,144,134,123,106,75,74,51,143,184,175,176,173,175,178,179,190,194,182,165,152,127,112,130,152,168,161,159,148,137,128,113,96,78,51,110,184,175,176,175,173,175,178,180,185,190,180,167,155,134,120,144,148,158,160,150,138,125,115,103,89,56,86,184,178,177,176,175,174,177,179,181,182,188,179,169,155,137,121,132,141,145,157,142,130,118,107,95,68,67,173,182,178,177,177,175,175,177,179,182,181,183,179,167,155,136,118,111,128,134,140,133,122,111,97,73,60,161,185,177,179,178,175,176,175,176,178,180,182,182,183,168,158,136,107,99,114,121,117,114,111,98,70,58,148,188,177,179,179,178,183,170,176,178,181,188,188,179,162,162,150,118,92,99,107,109,100,91,89,67,94,161,188,180,183,183,181,185,129,70,165,168,172,141,162,191,162,152,137,122,113,110,101,101,88,76,55,122,182,179,174,179,171,161,171,117,44,37,104,107,103,26,111,199,172,161,146,138,125,107,88,90,79,61,53,99,99,101,101,84,60,50,57,40,36,33,101,104,76,53,65,138,165,161,150,134,114,94,80,77,67,48,68,93,83,63,44,30,27,32,32,33,29,26,107,102,65,63,56,56,92,129,134,122,99,83,73,66,53,31,50,73,44,32,30,29,24,24,30,34,30,28,107,91,63,62,58,55,45,63,89,89,74,64,57,48,33,15,4,18,33,25,25,27,24,20,22,29,31,30
17,127,130,131,135,137,137,139,140,142,143,144,145,146,149,148,150,151,150,151,151,152,152,151,150,150,150,150,149,129,132,134,137,139,141,142,143,143,144,145,147,149,148,149,150,151,151,152,153,153,153,152,151,151,151,150,149,133,136,138,140,142,143,145,146,146,146,148,148,160,130,132,153,153,153,153,154,154,155,154,153,153,152,152,151,137,139,141,144,146,146,148,149,150,150,151,156,154,110,106,155,156,156,156,156,156,156,156,155,154,154,153,153,141,144,146,148,150,150,151,152,153,154,155,160,167,108,102,158,158,159,159,158,159,159,159,158,157,157,157,156,145,148,150,152,154,155,156,157,157,158,158,167,181,128,93,157,160,161,162,161,162,161,162,161,160,158,159,159,149,152,155,157,159,159,159,160,161,162,163,176,185,141,87,139,164,165,165,165,165,165,166,166,164,161,161,161,153,157,158,160,163,163,164,165,166,167,166,184,178,155,105,114,168,168,168,168,168,169,169,168,167,165,164,164,157,160,162,165,166,167,168,169,170,170,169,193,162,173,120,96,169,173,172,172,172,172,172,171,170,169,168,168,161,164,166,169,170,170,172,173,173,173,174,198,149,184,130,91,166,175,176,177,176,175,175,175,173,172,171,171,164,167,169,173,174,174,176,176,176,175,171,197,156,195,154,100,156,179,179,180,180,180,179,178,176,176,174,173,167,170,172,175,176,177,178,179,182,182,158,135,134,184,163,113,142,181,182,183,182,182,181,180,179,178,177,177,170,173,176,177,178,179,180,181,191,196,170,127,95,149,157,117,127,184,184,186,186,186,184,183,181,181,180,179,173,175,178,179,181,182,183,184,190,165,161,155,135,121,122,109,111,187,187,187,188,188,187,187,185,184,182,181,174,177,180,182,184,184,185,187,190,149,149,169,178,149,93,86,97,188,189,190,191,191,190,190,188,186,185,185,177,181,183,186,186,186,186,191,203,190,145,148,167,138,83,70,82,180,192,193,193,192,192,191,191,189,187,187,179,182,185,187,188,189,191,184,151,199,156,103,148,143,93,68,71,161,194,195,195,195,194,194,193,192,191,189,180,184,187,189,190,191,199,166,118,136,153,83,110,164,109,69,64,148,197,197,197,197,196,196,195,194,193,192,183,187,189,191,192,194,202,174,131,95,146,108,105,185,129,80,63,144,200,198,199,199,198,197,196,195,195,194,185,188,191,193,194,196,192,143,103,82,127,128,135,195,146,99,65,148,201,201,200,200,200,199,197,197,196,196,187,189,192,194,196,199,187,154,121,109,107,149,178,184,149,111,71,160,202,201,202,202,201,200,201,200,198,197,188,191,194,197,197,206,196,151,131,127,134,206,194,162,133,106,73,180,204,203,204,203,202,201,201,201,200,199,190,193,195,198,200,215,190,162,147,124,159,205,171,149,123,93,80,194,205,206,205,205,205,204,202,202,201,200,192,194,196,199,201,220,198,180,131,130,179,190,156,146,119,84,86,202,207,208,208,207,206,206,204,204,202,201,193,196,198,200,202,217,208,161,153,125,203,191,153,140,109,78,98,207,209,209,209,208,208,207,206,206,204,203,194,196,199,201,202,203,202,162,160,140,210,188,148,126,96,74,115,208,210,210,210,209,209,208,207,207,205,204,194,197,199,201,202,193,192,173,154,147,203,175,132,105,83,69,145,210,212,213,211,210,209,209,208,207,207,207,195,199,200,202,204,191,177,172,152,151,190,160,119,91,76,73,186,212,212,213,212,212,212,211,209,209,208,208
2,154,154,154,154,155,154,154,153,152,151,149,149,149,146,146,144,143,142,141,139,140,139,138,136,135,135,133,130,156,156,156,156,157,156,156,154,154,154,152,151,149,149,148,148,147,145,144,146,143,141,140,139,137,135,135,133,159,159,160,160,159,158,157,156,156,155,154,153,153,153,150,146,139,131,98,114,142,143,144,140,140,137,136,135,161,161,161,161,161,160,159,158,158,158,156,155,150,144,140,131,111,89,54,41,97,112,105,145,141,139,138,136,163,163,162,163,163,162,161,161,160,160,159,154,140,136,132,101,65,44,32,40,71,82,51,132,144,140,141,138,165,165,165,164,164,164,163,163,163,162,159,145,144,127,89,39,27,27,23,25,37,44,30,65,151,143,142,141,167,167,167,166,166,166,164,165,163,163,153,150,131,74,35,22,16,24,22,14,20,28,22,87,154,144,143,142,168,168,168,169,169,169,167,165,166,160,152,148,98,34,29,22,23,17,20,44,43,48,77,145,151,147,146,144,171,170,171,170,170,170,169,167,168,156,154,131,67,30,28,24,21,44,103,152,146,149,157,153,150,149,147,145,173,173,173,173,173,171,170,171,164,154,148,96,37,21,30,21,101,161,164,158,159,157,154,153,153,150,149,147,173,173,173,175,174,173,174,168,152,163,142,81,43,29,26,39,163,163,158,159,159,158,156,156,153,153,151,148,175,174,175,175,174,174,177,152,159,168,132,80,53,36,15,110,171,160,162,162,161,160,157,157,155,154,152,150,176,176,178,177,175,178,169,148,170,157,122,81,49,27,56,171,166,166,166,165,163,161,159,159,156,155,153,153,177,177,178,179,178,180,155,153,177,148,108,69,40,21,89,181,164,168,168,166,163,162,161,160,157,156,155,154,179,178,179,179,180,175,145,168,176,133,99,67,40,19,118,181,167,168,168,166,164,162,160,161,162,160,155,155,181,180,180,179,184,161,153,181,164,115,96,65,34,28,163,174,170,170,169,167,164,166,166,158,144,145,161,155,181,181,181,182,181,149,173,178,142,109,103,62,34,21,122,184,172,170,167,167,173,159,124,102,94,84,110,159,181,181,181,186,166,158,180,160,124,120,99,55,27,31,40,92,170,174,174,171,135,86,79,92,93,68,81,158,183,183,183,183,157,169,171,148,122,118,88,46,24,34,48,37,90,177,144,103,73,71,95,92,61,101,158,159,184,183,187,173,160,168,164,140,120,109,71,35,29,46,50,51,48,67,63,70,84,84,76,51,115,168,162,159,186,185,185,163,166,166,155,129,114,94,60,32,46,59,57,56,56,46,64,75,70,56,46,116,173,163,162,161,186,188,175,167,169,163,146,125,102,85,56,38,58,59,57,56,54,49,53,48,62,111,152,172,166,167,164,163,187,182,169,172,170,160,144,110,86,82,51,45,58,56,52,51,42,27,43,108,161,181,172,166,168,167,166,164,189,169,169,160,164,156,127,95,81,68,41,48,54,56,50,31,45,89,151,183,176,172,172,172,170,168,167,165,175,163,153,157,153,137,105,71,59,44,43,47,47,39,22,66,162,188,181,175,175,174,174,172,169,168,167,166,166,160,143,151,139,127,92,59,53,44,35,23,26,45,110,183,183,178,177,177,177,175,174,173,172,168,168,167,166,152,145,152,145,131,78,58,52,36,56,106,141,175,192,182,180,180,178,177,176,175,174,174,173,170,168,167,162,149,144,151,143,122,65,55,42,62,173,196,192,184,179,181,181,179,179,179,176,174,174,173,171,170,168,166
19,152,153,155,158,157,158,161,161,162,162,164,163,161,161,160,162,163,159,159,158,158,157,156,156,155,153,152,153,153,155,156,159,161,161,163,164,164,164,163,164,163,161,161,141,143,164,161,160,161,160,160,159,157,156,154,154,154,157,159,162,163,164,164,165,166,165,166,165,162,173,167,119,68,148,166,161,161,162,161,160,158,156,154,156,155,157,161,162,164,165,166,166,165,165,166,167,162,185,165,126,61,112,175,161,162,162,161,161,159,158,158,157,157,160,163,164,165,166,168,169,168,167,168,168,166,190,160,129,63,99,177,162,164,163,163,163,160,159,160,159,160,162,164,166,168,168,171,170,171,170,170,169,171,189,147,118,54,92,179,163,166,164,162,160,163,160,161,160,161,164,166,169,170,170,171,171,171,171,172,169,175,189,131,90,49,95,177,158,161,154,168,176,146,162,162,162,162,165,168,169,171,171,172,172,171,172,172,169,174,182,145,121,139,160,167,153,174,154,199,211,100,161,162,164,164,166,169,170,172,175,175,173,172,172,177,180,178,169,170,168,187,191,175,158,173,163,150,130,111,170,164,164,166,168,170,172,174,175,175,173,181,190,196,203,198,177,153,144,144,143,128,108,99,98,96,116,163,167,167,166,169,171,171,175,173,182,185,180,194,204,202,193,174,162,152,142,102,62,85,106,130,144,167,175,169,168,168,166,170,171,174,174,181,205,193,187,184,183,183,180,180,179,179,183,126,64,171,177,179,176,173,170,169,169,168,167,171,172,177,173,191,209,196,192,183,187,193,195,190,183,179,166,116,48,160,177,172,173,173,171,171,169,168,168,173,175,179,177,188,209,194,185,191,199,198,200,189,175,171,149,96,36,116,187,172,176,173,172,171,171,169,169,175,178,178,178,188,203,179,175,182,193,197,182,170,181,187,186,120,40,61,180,177,177,176,174,172,172,171,170,176,178,182,179,197,189,170,172,172,159,159,183,199,189,179,190,120,44,37,157,183,177,177,176,175,175,172,171,177,180,182,181,196,171,172,178,175,159,184,197,180,169,170,161,102,49,25,136,189,178,178,178,177,176,176,175,177,180,183,183,187,189,194,191,196,202,198,183,174,167,153,127,78,44,23,155,186,179,180,179,179,178,176,175,178,182,184,185,183,208,206,192,188,190,188,174,156,150,167,175,125,26,97,192,180,180,180,181,180,179,178,176,179,181,184,187,182,197,208,183,175,165,134,126,169,195,193,194,151,41,133,195,180,183,181,182,181,179,179,178,180,184,186,188,188,180,195,176,168,157,151,179,206,184,157,152,125,45,76,197,183,185,182,183,182,180,179,178,181,184,186,189,191,184,183,199,196,187,195,195,177,156,143,130,94,23,112,199,184,186,185,184,181,180,179,178,181,183,186,189,194,187,180,201,200,174,173,174,160,141,119,80,73,119,181,190,187,187,187,185,183,182,182,180,180,184,186,189,193,188,176,186,186,159,160,150,128,103,65,30,157,203,188,188,187,187,186,185,184,184,183,180,180,183,185,188,191,187,168,179,175,145,133,113,87,62,46,34,138,198,186,187,187,186,185,185,183,182,182,180,182,185,187,189,191,191,163,167,166,135,119,116,99,55,48,34,82,202,186,188,187,186,184,185,184,183,182,180,183,186,187,191,193,190,166,159,156,134,109,91,72,50,47,33,80,202,187,188,188,185,185,186,186,183,182,180,183,187,189,191,194,187,165,166,150,146,119,88,62,55,51,32,90,205,188,190,189,187,186,186,186,185,184,182
6,163,165,167,168,168,170,171,171,171,170,170,170,170,169,168,167,167,166,165,164,163,162,162,160,161,160,158,157,165,167,169,169,169,171,171,172,172,171,171,171,171,170,169,168,168,167,167,165,164,163,163,163,163,161,159,158,166,168,170,170,171,172,172,173,172,172,172,172,172,171,170,170,170,169,168,167,167,165,164,164,163,162,161,159,168,169,170,171,173,172,173,173,173,174,174,173,172,172,172,171,171,170,169,169,168,167,165,164,163,162,161,160,168,170,173,172,173,174,175,174,174,175,175,174,174,173,171,172,171,170,169,169,168,168,166,166,164,164,163,162,169,171,173,173,174,174,175,175,175,175,175,174,174,173,172,174,173,172,173,173,172,172,170,168,166,165,163,162,171,171,174,174,176,177,177,176,176,176,176,177,177,175,174,173,170,167,161,157,157,152,146,143,142,127,147,159,173,173,174,175,176,178,177,177,177,177,174,165,159,162,160,150,138,128,114,125,136,142,130,129,129,110,148,160,173,175,176,177,177,178,178,179,179,168,158,135,129,131,134,142,133,123,116,119,129,137,124,119,114,100,112,125,173,175,177,178,179,179,180,178,175,167,156,143,132,121,95,112,117,114,98,86,92,87,86,88,95,101,116,141,174,176,178,179,179,181,177,175,167,155,152,143,140,139,94,66,66,63,67,95,118,135,145,158,168,169,171,170,175,177,179,181,181,177,168,170,153,142,147,147,151,123,83,69,56,111,152,173,181,180,178,176,174,172,170,168,176,178,181,179,173,166,164,156,148,145,142,149,149,111,72,70,65,104,187,177,175,173,173,173,173,172,171,169,176,179,178,173,167,165,160,153,152,144,141,148,141,132,103,71,69,54,119,187,175,176,175,175,174,173,171,170,180,174,171,171,167,162,154,151,148,142,140,141,141,143,119,81,65,70,64,162,182,176,175,175,174,174,172,171,157,178,173,167,160,158,150,146,142,138,138,139,144,142,110,79,69,71,53,134,189,176,177,176,175,174,174,173,74,125,179,173,159,151,145,139,137,136,135,137,141,142,121,86,65,67,69,169,182,178,178,178,177,175,174,173,72,62,96,157,159,147,145,143,140,138,140,138,143,142,134,101,67,63,68,173,183,180,179,179,177,176,175,174,69,71,49,62,129,157,143,138,138,137,141,142,141,142,130,95,70,71,57,156,189,179,179,179,178,178,176,175,67,54,51,43,54,116,138,138,140,139,135,128,125,122,104,88,76,74,68,172,187,181,181,179,178,178,176,175,54,48,46,50,47,45,96,134,137,133,126,116,109,101,90,83,82,81,57,126,195,181,182,180,179,178,177,175,47,52,51,48,45,44,41,84,132,134,122,111,102,111,104,80,82,81,53,127,194,181,182,181,180,179,178,176,48,52,53,48,41,46,43,34,80,119,108,97,82,96,78,67,78,79,119,184,185,184,184,182,180,180,179,178,50,53,48,44,40,42,37,38,34,76,79,76,115,170,154,137,155,172,190,187,186,185,184,183,182,181,179,178,49,48,40,39,38,37,35,33,35,21,83,173,193,196,197,197,194,192,186,187,186,185,184,183,183,181,179,178,50,40,37,35,37,35,32,32,27,56,186,196,189,189,189,187,187,187,187,186,185,185,184,183,182,180,179,178,45,34,35,36,33,30,30,32,19,101,206,186,190,190,190,189,188,187,185,185,185,184,184,183,181,180,179,176,40,37,36,29,34,35,25,33,21,129,203,189,191,189,190,189,189,188,187,186,185,184,183,184,183,181,178,175
6,186,188,190,191,191,191,192,192,191,191,191,189,189,188,188,188,187,186,184,183,182,182,181,181,180,178,175,174,188,189,191,193,194,194,194,193,193,193,193,193,191,189,188,189,187,186,185,185,185,185,184,182,181,179,177,175,188,190,192,194,195,195,196,195,195,194,194,193,192,191,190,190,189,188,187,186,186,185,183,182,181,180,179,177,189,192,194,195,196,197,197,196,197,196,195,196,194,193,192,191,191,191,188,187,187,186,185,183,183,181,179,179,191,193,194,196,198,199,198,197,199,198,197,197,196,195,193,192,193,191,188,185,185,185,185,181,180,178,175,179,192,194,196,199,199,200,200,200,200,199,199,197,196,193,188,184,180,181,175,155,162,171,171,158,167,165,177,199,194,196,197,199,201,201,200,200,199,198,188,179,181,183,178,180,182,181,170,167,160,176,174,160,165,163,165,187,194,196,199,201,201,202,201,201,204,202,181,165,172,180,182,185,186,183,168,151,151,148,145,139,136,134,128,134,196,198,199,200,202,202,202,201,213,209,187,173,163,164,166,162,158,151,141,130,108,103,99,117,140,150,165,176,198,199,200,201,202,203,204,203,222,216,201,184,167,155,150,144,138,128,112,94,70,62,78,172,188,187,186,185,199,200,201,202,204,205,204,213,225,221,208,176,148,142,147,153,149,144,134,126,118,91,152,190,190,189,187,186,200,201,203,203,205,206,204,223,228,223,197,152,131,137,140,150,154,149,140,133,127,100,163,193,193,190,189,186,200,203,205,205,206,205,206,229,226,219,175,142,141,137,130,136,149,138,132,129,117,91,172,194,194,191,189,187,201,203,205,206,207,202,216,228,224,221,193,175,155,140,121,128,149,143,139,137,120,109,192,196,194,192,190,189,202,204,205,207,207,206,225,226,225,226,221,204,164,140,144,151,150,141,130,120,116,104,182,195,195,193,190,189,203,206,206,208,202,216,226,227,227,223,220,207,156,131,135,139,141,135,122,114,108,94,182,195,195,194,192,190,202,205,206,205,203,220,226,228,223,217,213,194,156,136,128,120,126,130,127,119,101,117,195,197,195,195,192,189,201,202,204,194,211,222,225,224,218,212,205,201,182,160,125,99,111,128,123,116,96,154,196,196,195,193,191,189,201,204,200,191,218,224,224,220,219,217,209,204,207,183,137,115,129,142,129,111,102,112,195,196,195,193,190,174,203,204,190,205,219,222,221,219,220,214,206,211,206,172,127,114,120,118,109,98,92,111,196,197,195,186,138,84,203,196,199,214,219,218,215,211,205,203,202,205,186,150,120,115,111,108,100,96,102,170,195,182,139,91,56,46,200,191,208,213,217,210,202,198,192,194,190,176,154,131,116,106,96,127,137,155,173,159,119,75,50,44,39,38,191,198,209,212,211,202,192,186,185,182,176,156,136,123,122,112,136,159,134,112,84,61,36,28,31,36,34,33,181,207,209,208,199,188,177,173,179,173,163,150,139,120,98,71,64,51,42,40,38,39,16,20,25,30,29,30,195,210,209,204,195,185,170,164,162,154,143,132,110,85,58,40,30,31,29,32,35,29,8,15,20,26,28,26,206,210,207,199,187,168,152,148,139,123,109,93,72,48,37,42,23,20,23,28,32,24,5,11,17,25,25,23,211,209,205,198,173,145,141,135,126,109,81,58,42,32,30,39,27,15,23,25,26,18,3,9,18,26,23,24,211,208,203,191,149,137,149,139,117,91,52,40,28,26,25,35,27,17,23,17,23,13,2,10,18,25,20,20
20,141,144,148,151,153,155,159,160,162,163,164,164,164,163,164,164,164,163,163,162,161,159,158,158,156,154,153,152,143,146,150,153,155,158,161,162,164,165,166,166,168,153,158,167,166,165,165,164,163,162,160,159,158,158,157,155,145,149,152,155,159,162,164,165,166,169,169,168,186,140,124,163,167,167,168,167,166,164,163,162,161,161,160,158,147,151,155,159,161,165,166,168,169,171,171,171,194,145,122,135,149,170,169,169,168,166,165,164,164,163,162,161,149,153,158,161,164,167,169,171,173,173,174,173,195,144,144,148,120,173,171,172,171,170,168,167,166,166,165,163,152,156,160,164,165,168,172,174,175,176,176,176,202,158,150,161,108,172,174,174,173,172,171,170,170,169,168,165,156,159,163,166,168,170,174,177,178,178,179,178,207,167,145,177,111,168,177,176,175,174,173,172,172,171,170,168,158,162,165,168,170,173,176,178,180,180,181,182,207,161,143,183,120,159,180,179,178,176,175,174,173,173,172,171,160,164,166,170,173,176,178,180,183,187,171,181,213,167,148,185,128,149,181,181,180,179,177,177,176,175,174,172,162,166,169,172,175,178,180,183,193,208,175,162,177,158,139,197,142,143,183,182,181,181,180,180,178,177,175,174,163,167,171,174,177,179,187,208,174,162,187,159,124,119,113,180,144,135,184,184,183,183,182,181,181,179,178,177,165,169,172,175,179,181,197,190,185,149,187,185,179,158,116,139,135,127,187,187,186,185,183,182,181,180,180,179,167,171,174,178,181,184,194,188,160,146,157,175,191,187,133,94,109,117,189,187,187,186,185,183,182,181,181,180,168,173,176,179,183,186,192,204,174,130,96,98,125,186,157,98,80,108,190,189,189,188,187,185,185,184,182,182,170,173,179,182,184,188,191,217,181,133,102,92,92,178,185,129,80,97,190,192,191,189,189,188,187,185,182,182,171,176,180,183,187,189,192,213,182,142,111,116,133,188,208,160,103,87,188,194,193,191,190,189,188,187,185,183,173,178,181,185,188,192,195,221,190,145,126,124,162,214,207,164,124,86,187,195,194,192,192,190,189,188,186,185,174,179,183,187,191,194,197,225,195,155,134,141,191,219,192,146,113,86,188,196,195,194,193,192,191,189,189,187,176,181,184,187,192,195,198,224,202,168,152,148,207,213,173,126,96,99,196,197,197,195,195,194,193,191,190,187,178,183,187,190,193,195,198,219,204,170,162,154,212,205,161,117,89,108,200,199,199,197,196,196,195,194,190,188,179,184,188,192,194,197,199,212,204,173,174,157,206,191,147,108,83,115,201,201,201,200,197,196,195,194,192,190,179,185,189,193,196,198,200,207,209,186,183,157,200,175,131,98,78,132,203,202,201,201,200,197,196,196,194,191,180,186,190,194,197,199,203,205,211,191,182,152,186,156,118,92,75,159,205,204,203,201,200,199,198,197,195,193,181,186,191,194,198,200,204,205,217,187,163,137,171,137,119,96,85,189,206,206,205,202,201,201,200,198,196,194,182,187,192,195,199,202,205,206,220,195,161,152,167,127,128,90,130,205,208,207,207,204,203,202,201,200,197,195,183,187,192,196,200,202,204,211,224,208,181,170,155,124,117,80,177,208,207,208,208,206,204,203,202,201,199,196,182,187,190,195,199,202,201,211,211,194,187,171,145,115,102,95,198,208,207,207,206,204,203,203,202,200,199,196,182,186,191,195,200,202,197,217,204,177,172,159,128,104,84,121,205,209,208,208,206,205,203,202,201,200,199,196
1,149,151,152,152,153,153,153,153,154,153,153,153,153,152,152,154,141,123,146,144,145,143,140,138,138,136,134,132,154,155,156,156,157,157,158,158,158,157,156,157,157,158,145,143,153,71,141,158,146,147,144,142,141,139,137,135,159,160,160,161,162,161,162,163,162,162,161,162,160,168,150,84,151,67,80,116,153,149,148,146,146,144,141,138,164,164,165,165,166,166,165,166,165,165,166,165,162,176,140,77,150,54,34,58,133,159,151,148,148,147,145,141,167,167,168,168,170,170,169,170,169,170,170,172,171,180,112,82,147,35,72,78,106,168,153,153,152,150,147,145,172,172,173,172,172,172,173,173,171,171,175,148,151,183,89,99,152,43,99,83,88,171,156,157,155,153,151,148,176,176,177,177,177,178,178,177,175,174,179,134,93,185,87,122,139,39,109,87,86,175,161,161,157,155,154,151,179,180,180,181,181,180,181,180,181,179,183,119,89,170,75,140,109,40,134,99,87,178,164,165,161,159,157,154,182,183,183,184,183,182,182,181,182,181,185,89,109,142,73,155,105,72,161,88,87,181,166,167,164,162,160,158,186,186,186,186,186,186,185,185,185,186,184,80,118,145,85,162,111,80,160,77,91,184,168,169,167,164,163,162,187,188,188,188,188,190,189,188,187,190,173,65,123,157,74,158,107,60,155,93,105,187,170,171,170,168,165,163,191,189,189,191,191,191,190,191,188,194,162,55,136,139,47,141,75,60,167,90,107,190,174,174,173,172,168,165,193,193,193,193,193,195,194,193,192,196,168,60,127,122,60,148,71,78,160,79,105,193,176,179,176,175,172,168,195,196,196,196,195,196,195,195,194,198,146,66,137,128,128,152,121,82,110,81,111,194,180,181,178,175,173,172,195,197,196,196,196,196,196,196,197,191,146,142,126,99,115,118,124,105,84,74,77,189,181,181,180,178,175,173,197,198,199,198,198,198,198,198,197,191,168,129,91,81,96,120,125,98,84,92,54,166,190,182,182,181,177,175,199,199,200,200,200,200,201,201,201,193,150,94,76,80,99,140,130,112,149,138,60,130,201,185,185,182,181,178,202,201,202,202,202,203,203,204,198,188,142,83,82,94,112,147,158,157,131,153,95,95,202,186,186,183,181,179,202,204,205,204,204,205,204,205,192,184,153,89,67,99,130,158,171,185,118,150,124,64,187,190,187,185,183,180,204,204,205,205,205,205,204,208,188,182,165,104,59,100,138,161,168,173,151,129,85,43,184,193,189,188,186,182,206,206,205,206,207,207,207,211,184,180,171,121,76,80,139,176,176,170,134,117,49,70,205,191,190,189,188,185,205,206,206,207,208,209,207,213,185,164,162,123,87,78,152,191,184,168,122,87,32,141,207,192,192,190,189,188,205,206,206,207,208,209,207,212,195,157,149,126,97,90,163,182,163,142,102,58,48,199,197,195,194,191,190,189,204,206,206,206,207,207,208,211,203,164,153,133,108,103,163,171,151,117,83,29,105,213,195,196,195,191,189,188,204,206,207,207,207,208,208,209,211,169,152,147,119,102,149,152,133,94,52,25,180,202,196,196,193,190,188,186,206,207,208,207,208,209,208,209,213,178,157,146,120,101,126,118,89,57,6,117,212,196,198,196,194,189,185,185,206,206,207,209,209,209,209,211,207,177,163,146,123,106,108,95,57,13,107,214,200,200,198,197,195,194,197,185,206,206,207,208,208,209,209,214,190,169,173,151,143,121,94,77,21,59,218,204,203,201,199,197,196,179,140,76
19,161,163,164,166,169,170,170,170,170,170,170,171,170,169,170,168,168,167,166,166,165,165,164,163,161,160,160,160,163,162,165,167,168,170,171,171,170,170,171,171,170,170,171,170,169,168,168,167,167,163,164,164,163,161,163,160,163,164,166,167,169,171,173,172,173,172,172,171,170,171,173,171,170,169,169,169,168,165,166,166,164,163,163,162,163,165,167,169,170,171,172,172,173,174,174,172,171,173,172,172,171,170,170,169,170,167,168,166,165,164,163,162,165,167,168,170,171,172,173,175,175,173,172,175,177,171,173,173,172,172,170,169,170,170,169,167,165,164,164,163,166,171,169,171,174,176,176,175,177,181,158,131,158,180,174,175,174,173,171,171,171,171,171,169,167,166,165,164,168,171,173,174,175,176,176,177,177,214,189,147,95,158,182,174,176,174,172,173,172,172,172,169,168,168,166,165,169,170,172,174,175,176,178,182,172,202,218,177,113,79,178,177,177,175,174,175,174,172,173,171,169,168,168,166,172,173,173,176,178,179,181,180,178,185,216,183,128,53,130,189,175,178,175,174,173,172,171,171,169,169,169,167,172,174,175,179,179,180,182,183,176,184,208,171,120,57,93,193,176,178,176,174,175,173,172,171,170,170,170,168,172,174,178,180,179,182,186,182,194,229,198,163,143,91,103,179,177,183,182,178,176,174,174,173,171,170,170,169,174,176,180,181,184,185,183,182,235,219,180,156,169,183,176,161,151,154,162,174,181,178,177,173,173,172,169,170,176,179,180,183,184,186,178,216,230,188,132,104,131,181,202,201,186,171,140,143,147,165,174,178,174,171,171,171,178,183,181,183,184,183,197,245,222,197,159,100,78,121,169,188,197,197,181,166,155,161,147,148,165,177,176,170,181,183,182,185,188,182,227,233,205,184,163,156,129,117,125,136,144,161,176,190,196,201,180,139,130,126,162,176,180,182,182,186,185,197,233,216,172,142,142,132,165,171,149,134,115,95,108,130,145,174,189,178,157,115,109,151,179,182,186,189,187,225,252,225,172,138,129,119,128,172,182,171,147,105,77,133,156,147,147,147,146,147,141,151,182,185,185,184,201,245,248,214,175,156,158,160,153,132,144,164,162,131,109,101,181,188,175,162,148,142,137,140,183,184,187,185,221,244,230,195,165,164,180,178,177,152,74,121,124,131,134,98,158,193,185,186,185,178,168,163,184,187,184,206,238,239,224,178,142,116,157,196,196,191,99,122,94,94,97,118,186,187,186,185,184,184,183,182,184,183,190,233,234,250,224,173,139,119,103,147,162,179,171,141,112,104,93,179,190,186,186,186,183,183,181,180,184,182,208,237,243,253,210,165,151,149,149,135,104,135,188,159,131,99,162,197,187,187,188,187,183,181,180,177,186,187,229,238,247,232,208,174,163,157,155,143,130,123,122,122,112,142,194,189,190,189,187,185,185,184,181,180,181,203,240,238,236,224,204,184,167,167,164,144,121,113,117,86,155,196,191,190,190,189,189,187,185,183,182,181,180,219,239,234,234,218,189,171,146,147,156,145,132,125,109,141,206,193,191,189,191,191,190,189,186,184,185,183,186,230,234,228,224,209,189,149,109,92,100,118,116,121,144,190,198,196,195,192,191,191,191,190,188,186,186,184,204,231,219,209,207,183,148,113,91,61,136,188,172,183,200,197,197,196,196,195,192,190,189,189,187,185,183,182,226,225,199,192,176,145,113,97,90,73,187,208,203,201,198,197,198,197,195,194,192,190,189,189,185,185,184,182
15,95,98,101,104,81,73,75,77,67,36,79,86,35,0,33,49,49,54,57,61,66,77,85,89,94,97,101,104,95,99,102,103,80,76,76,81,62,41,83,87,26,1,38,48,50,54,58,62,67,78,85,88,95,98,101,104,96,100,103,102,79,79,78,84,54,48,85,83,18,6,41,47,51,54,58,62,67,79,85,88,94,98,102,105,98,101,104,99,78,77,77,87,47,56,87,81,10,9,43,47,50,55,58,62,69,79,84,89,95,98,102,105,99,102,104,99,97,89,81,81,48,63,87,74,0,10,45,47,51,54,59,63,70,81,85,91,96,99,103,105,99,103,105,101,93,95,93,88,82,79,82,69,32,31,48,48,50,54,59,63,71,82,86,92,96,100,103,106,100,104,107,95,78,74,65,77,81,83,85,89,89,81,78,74,69,65,62,62,73,85,87,93,98,100,104,107,101,104,108,93,82,78,60,59,65,60,69,91,85,85,84,86,92,93,78,68,66,71,88,92,98,101,105,108,102,105,108,91,84,85,88,72,42,64,55,74,77,74,70,75,92,104,95,77,71,48,66,95,97,101,104,108,103,106,107,90,84,85,91,68,43,93,88,42,49,71,61,78,101,103,95,88,84,62,46,84,101,102,104,108,104,107,108,88,86,86,94,61,47,93,96,22,2,42,66,108,100,103,105,103,97,79,58,53,99,103,106,108,104,107,108,87,89,85,97,62,57,93,93,13,0,48,79,118,79,102,110,114,111,87,64,46,68,107,105,108,105,109,105,89,90,96,89,76,81,78,79,20,50,100,91,67,71,103,112,118,110,86,67,57,43,89,110,108,106,110,103,88,93,99,82,87,97,95,76,62,76,77,69,42,64,125,106,96,97,87,76,61,46,54,108,109,107,111,101,88,95,86,64,75,96,98,76,65,74,72,73,78,89,90,74,76,87,88,74,59,53,38,79,115,107,111,100,91,95,95,75,60,85,86,66,70,79,76,80,89,90,73,57,62,76,76,66,57,53,44,44,101,108,112,99,95,96,97,91,44,87,66,54,66,72,74,80,89,81,65,55,55,63,64,65,63,57,51,41,55,108,112,99,96,96,100,81,46,103,54,36,45,56,60,72,81,79,65,56,57,60,60,65,67,60,56,49,39,109,112,98,98,96,103,75,69,72,42,34,21,62,71,53,68,69,62,61,62,62,62,64,65,59,55,51,44,109,111,97,99,97,100,98,62,41,36,28,2,102,107,49,63,65,61,63,69,70,68,67,62,60,58,52,47,109,110,98,101,97,106,92,44,30,52,21,0,75,109,69,65,88,81,86,87,79,71,66,60,58,60,57,49,111,109,97,102,100,105,60,35,56,98,16,2,40,79,90,56,64,89,86,84,78,69,63,58,57,59,60,55,113,107,97,104,101,111,48,68,110,98,7,7,46,49,64,51,38,69,81,73,71,64,60,60,61,62,62,59,113,108,99,107,104,113,44,90,114,95,2,10,49,52,50,52,54,65,92,71,62,62,59,62,67,66,60,57,113,105,102,107,107,111,40,94,117,89,0,14,51,51,52,53,57,57,81,101,77,55,56,56,61,66,66,60,111,104,104,108,109,105,40,102,117,78,0,18,51,50,50,52,55,59,59,96,112,86,67,54,56,66,74,64,111,105,107,109,112,98,45,108,120,68,0,23,53,49,49,51,56,58,63,74,107,86,73,80,78,82,77,70,112,107,109,109,115,91,46,111,121,58,0,27,53,48,50,51,55,58,63,74,81,77,88,96,88,90,89,84
10,120,126,129,133,137,141,144,147,150,152,152,155,156,155,157,156,158,158,158,158,158,158,158,158,159,158,159,159,124,128,132,136,141,145,147,151,153,156,157,159,160,160,160,160,162,161,161,162,161,161,161,160,162,161,160,160,128,132,136,140,144,148,151,155,158,160,161,162,163,163,165,165,164,167,167,165,165,165,164,164,164,165,165,163,129,135,140,144,147,152,156,160,162,163,165,166,167,167,168,167,170,158,161,171,169,169,167,169,168,168,168,168,133,138,143,146,151,154,159,162,166,168,169,169,171,170,171,167,182,155,108,177,170,171,171,172,172,172,172,170,137,141,145,150,154,158,162,165,169,170,171,172,173,174,174,172,180,187,107,142,181,173,175,177,176,175,176,173,137,144,148,152,156,160,164,168,171,173,174,174,175,177,177,180,177,194,150,108,182,178,178,178,179,178,177,177,140,145,151,155,160,163,167,170,174,175,176,178,178,178,178,169,175,199,199,118,157,186,178,180,180,180,179,179,143,148,153,157,161,166,170,174,175,176,178,180,181,180,192,139,99,196,218,151,115,192,182,185,184,184,184,182,145,150,155,159,164,170,172,175,177,179,181,182,184,181,196,176,89,124,223,181,95,173,190,186,187,187,186,186,146,152,157,162,167,170,173,176,179,181,184,185,186,185,189,221,180,120,159,199,103,147,196,186,188,189,189,188,148,153,158,164,168,171,176,178,179,183,186,187,185,197,184,181,228,147,70,172,123,117,202,187,191,192,191,190,150,154,160,165,170,173,177,179,182,185,185,187,190,201,174,93,159,171,87,80,100,91,204,190,193,193,193,192,150,155,161,165,171,174,177,182,185,187,188,187,217,196,147,58,48,169,130,52,46,55,178,200,194,194,194,194,151,156,162,166,171,176,179,183,186,188,189,186,220,186,90,16,3,122,147,94,41,35,124,209,194,196,195,195,153,158,162,168,172,178,181,185,188,186,199,201,180,215,175,69,0,110,159,142,79,39,91,207,197,197,196,195,154,160,163,169,174,178,183,186,189,187,205,225,195,174,220,150,53,157,185,164,99,38,74,204,200,201,200,197,155,161,166,169,174,180,184,186,188,191,188,194,223,158,159,212,123,163,190,155,108,41,66,205,202,202,202,200,154,159,164,168,173,177,181,185,187,189,190,160,178,147,96,168,114,171,201,151,103,51,63,204,203,203,202,201,154,161,165,169,173,176,180,186,187,186,201,203,163,146,106,114,214,221,198,153,90,50,70,203,202,201,199,200,155,160,163,169,175,178,181,185,187,186,198,221,186,146,134,180,237,215,190,136,82,53,77,207,201,201,200,200,155,160,163,169,175,178,181,185,187,190,189,215,198,184,170,198,228,197,169,122,76,67,68,203,203,201,201,201,155,161,166,170,173,177,181,185,187,190,190,205,205,199,192,183,223,182,156,121,103,92,68,200,203,201,202,203,151,157,164,171,177,181,186,190,193,195,198,203,210,209,205,163,199,177,164,137,130,95,80,208,205,204,205,204,76,80,86,93,98,102,107,115,119,123,123,145,213,211,198,167,166,170,180,156,122,76,88,193,191,195,197,200,66,68,69,68,66,64,63,65,67,67,70,68,175,197,176,166,155,162,195,162,109,71,65,81,85,88,93,96,74,74,75,76,76,81,82,81,79,79,83,69,119,190,162,165,164,167,182,156,104,66,75,81,78,79,78,76,70,70,73,73,73,75,76,81,79,77,77,75,87,181,177,167,174,165,162,161,104,65,83,92,88,92,91,94
18,152,154,156,158,160,162,164,165,166,167,169,171,170,171,171,172,171,171,172,173,174,174,175,175,175,176,175,175,154,156,158,160,162,165,166,167,170,171,172,173,173,173,173,174,173,173,174,175,177,176,178,178,178,178,178,178,156,158,161,162,165,166,168,171,173,173,174,175,175,175,176,176,176,177,177,178,178,178,179,179,180,180,179,178,158,160,163,165,166,168,171,172,174,176,176,177,178,178,178,178,178,178,179,178,179,180,181,179,180,181,182,182,160,161,164,166,169,170,172,174,176,177,178,179,179,180,182,180,179,181,183,185,183,182,186,184,185,184,183,184,161,162,165,168,170,171,173,177,179,179,179,180,181,182,183,183,183,184,169,165,181,186,164,144,161,187,186,186,164,165,168,170,172,174,176,178,179,180,181,182,184,183,184,183,184,186,155,145,171,190,155,107,115,152,195,184,166,167,170,172,173,175,178,180,181,182,183,184,186,186,184,187,185,175,172,172,188,176,175,132,100,105,187,190,167,170,172,174,176,178,180,183,184,184,186,187,187,187,190,166,169,160,172,175,170,149,193,151,107,77,163,201,169,171,173,176,178,180,182,185,185,186,187,187,183,203,199,149,127,139,156,151,115,156,211,161,124,78,148,203,171,172,175,177,179,181,183,186,187,187,186,197,148,155,190,153,128,118,152,114,84,195,208,170,139,84,146,204,171,174,176,178,180,184,185,187,188,184,202,212,143,107,184,172,154,121,192,135,89,205,213,188,155,92,152,207,172,174,177,179,182,185,188,189,188,198,200,206,164,121,161,190,160,116,163,164,117,181,220,199,156,103,115,207,173,176,179,181,184,186,189,189,195,203,164,203,186,143,131,188,160,130,91,143,197,204,197,176,149,121,85,182,174,177,180,182,184,187,190,188,205,209,164,193,195,156,116,164,170,133,153,195,200,203,174,162,147,132,86,162,176,178,181,184,186,189,191,195,205,186,150,164,176,143,99,132,145,162,214,201,187,183,164,152,147,124,93,184,177,180,184,185,188,190,191,195,213,190,150,147,135,109,84,78,142,215,209,196,179,168,159,137,131,98,120,209,179,183,185,187,189,192,193,193,211,194,170,149,100,94,67,85,209,210,199,189,178,168,141,122,109,83,172,209,181,183,185,188,190,194,194,195,213,200,185,155,119,148,110,174,219,207,200,185,174,158,126,109,93,106,207,204,181,184,187,189,191,194,194,200,213,211,179,149,177,166,158,222,210,208,193,176,165,141,114,104,85,141,214,204,183,185,188,190,192,195,194,206,212,213,170,166,187,152,193,227,216,201,185,172,155,124,102,99,89,189,210,205,184,187,189,191,195,197,194,205,216,210,173,175,184,144,217,218,218,193,173,157,136,109,99,84,136,213,205,207,185,188,189,192,195,197,199,196,207,211,180,186,174,153,225,219,205,183,166,145,117,100,94,92,198,211,207,208,186,188,191,194,196,198,202,197,198,203,188,193,172,183,208,208,189,167,154,134,110,103,80,142,219,206,208,209,186,190,193,195,196,198,202,200,192,200,190,199,184,181,188,191,178,162,144,125,109,95,97,202,211,210,209,209,188,191,194,196,197,199,201,202,191,205,199,192,180,162,177,189,180,154,133,117,106,82,160,218,209,211,211,211,188,192,193,196,198,200,202,204,190,195,178,169,164,155,176,182,175,149,121,110,89,106,209,210,212,212,212,213,188,191,193,197,199,201,203,205,196,186,163,170,167,182,185,182,168,144,119,107,81,151,218,210,212,213,213,213
0,159,160,159,159,159,158,158,157,158,160,159,159,159,158,157,156,157,156,155,155,153,152,153,153,151,150,149,149,161,161,161,160,161,161,161,161,161,160,160,160,160,159,158,157,157,156,155,155,155,154,154,153,151,150,150,150,162,162,161,162,162,161,161,161,161,161,162,163,161,161,160,159,158,158,157,157,157,156,156,155,154,152,152,150,162,162,162,162,161,161,161,161,162,162,163,163,163,162,161,163,162,159,162,163,158,155,155,156,156,155,154,153,163,163,164,163,162,163,162,162,163,163,163,163,162,162,158,142,151,167,145,130,152,148,119,157,156,156,155,155,163,164,165,165,164,164,164,164,164,163,165,166,168,163,133,100,81,115,115,88,85,142,92,131,164,155,156,154,165,164,165,165,166,166,165,164,167,169,166,148,123,130,130,103,74,53,115,98,56,118,111,88,170,155,156,156,166,165,166,165,166,166,166,165,148,142,155,135,92,60,115,110,95,68,116,100,64,97,131,63,115,169,155,157,166,167,167,167,166,166,163,155,124,78,131,132,96,58,103,118,103,68,119,104,63,70,130,91,63,119,163,156,168,167,167,167,167,167,155,150,128,85,116,136,103,70,98,123,96,63,122,108,63,40,122,111,81,57,160,157,168,167,168,168,168,165,144,141,136,107,103,141,104,76,81,123,97,53,100,90,53,44,128,123,70,71,167,158,168,168,168,169,169,160,138,123,135,115,94,132,100,73,66,122,94,38,45,53,26,79,144,119,52,113,172,158,169,170,170,169,168,157,153,116,118,111,74,113,106,80,45,69,60,12,29,39,58,130,140,102,51,153,163,160,170,171,171,170,167,151,136,91,92,79,35,78,101,74,28,16,27,61,107,98,111,141,127,72,79,173,159,161,171,172,171,172,164,149,143,114,84,53,30,36,60,37,19,39,96,138,136,131,110,121,113,41,115,175,161,161,171,173,171,173,165,150,152,133,100,80,69,64,73,75,93,122,141,139,132,130,103,87,81,33,148,167,163,162,171,173,171,174,164,150,158,136,111,96,83,91,112,138,145,148,151,143,125,121,90,67,36,84,175,163,164,162,171,172,171,173,165,145,159,139,118,93,90,98,131,150,152,155,152,134,117,107,80,35,58,167,167,166,165,164,169,170,170,171,168,138,149,140,123,101,97,108,147,155,152,154,143,121,105,91,54,39,157,171,165,165,165,164,170,171,172,172,174,143,145,145,127,116,108,120,150,153,152,145,126,111,93,72,29,131,175,164,166,166,164,163,172,172,172,172,176,153,135,146,138,128,111,123,147,146,145,135,110,95,81,33,96,178,165,167,166,165,164,164,172,172,172,172,174,165,133,143,138,123,107,117,139,133,129,113,94,80,41,63,173,168,167,168,166,167,165,164,172,172,172,173,173,173,141,137,132,116,107,112,130,122,111,96,76,40,43,160,172,168,169,168,167,167,166,165,172,172,172,172,172,173,146,138,126,109,106,108,124,117,98,81,48,38,153,175,168,170,171,168,167,166,166,165,174,173,173,172,174,165,142,137,129,124,122,115,118,114,88,62,27,140,178,168,170,168,170,168,167,166,166,164,167,169,170,170,175,152,139,145,137,136,126,117,114,105,74,35,73,186,173,177,176,174,173,172,171,170,169,167,97,100,102,104,104,120,143,151,144,135,126,119,107,82,65,31,87,148,144,146,149,151,152,152,153,155,156,155,79,78,76,76,70,110,145,151,139,133,126,117,85,73,57,33,57,79,77,77,77,79,80,80,82,84,85,84
18,206,207,207,209,211,210,209,210,210,208,206,206,206,205,204,203,203,203,202,200,199,198,197,195,194,193,191,190,207,208,209,211,211,212,211,211,212,211,209,208,207,207,207,208,207,204,204,203,201,199,198,196,195,193,191,190,210,210,209,211,211,212,214,213,212,211,213,213,215,213,211,206,199,210,206,207,208,206,198,198,197,196,195,192,210,211,212,212,212,213,214,215,213,212,212,178,152,197,207,163,131,153,214,192,167,178,204,199,197,198,196,195,211,212,212,213,215,215,215,217,216,222,212,164,127,117,175,168,128,95,148,160,130,106,161,210,199,198,196,196,213,213,214,214,215,217,219,195,163,184,211,173,152,115,150,199,135,121,90,147,140,104,92,200,202,199,197,196,214,215,217,217,217,217,225,194,161,138,167,199,152,129,124,198,138,129,125,121,133,120,79,173,209,200,199,198,214,217,217,219,219,219,224,208,185,167,129,180,172,133,105,154,159,144,140,130,149,135,82,173,209,201,200,199,215,217,218,220,219,226,208,207,197,171,144,127,171,139,111,123,169,155,143,142,147,130,81,178,212,202,202,201,216,218,220,221,218,229,211,167,183,169,135,90,156,148,111,103,157,147,143,138,135,127,79,162,216,203,202,200,218,218,220,222,219,226,199,122,152,167,103,79,130,125,91,88,135,103,127,160,156,132,86,143,218,204,203,202,218,219,220,222,220,229,198,157,149,159,97,82,111,101,82,77,108,82,107,198,171,141,97,122,220,205,205,204,219,221,221,222,222,230,211,188,143,152,120,89,106,112,84,75,104,82,78,174,176,148,110,99,212,209,207,204,221,221,221,222,224,230,214,179,146,126,111,80,110,123,81,73,91,131,169,176,197,164,124,82,193,214,207,206,221,221,222,223,225,229,191,156,135,113,93,79,91,88,78,88,127,191,199,182,185,169,126,78,175,220,207,207,221,222,225,226,226,228,207,180,155,132,110,107,99,102,126,156,192,205,198,193,162,151,115,74,181,219,208,207,223,225,227,227,226,230,218,190,162,130,108,107,119,137,163,189,211,208,189,177,154,123,100,85,207,213,211,210,224,225,227,227,227,228,220,197,168,138,120,118,122,139,185,208,219,206,180,163,143,116,77,121,224,211,212,211,224,225,226,227,228,226,220,205,177,153,132,129,119,154,204,216,213,196,173,154,137,107,67,176,223,211,211,209,225,227,227,229,228,224,217,203,178,158,140,136,127,166,213,208,201,188,167,145,129,95,85,214,216,213,212,211,226,228,230,231,230,223,207,193,177,161,147,145,133,170,210,199,191,177,160,137,120,77,126,228,212,215,213,211,226,229,230,229,231,227,205,195,184,165,153,158,138,173,199,195,182,160,147,128,108,67,179,226,214,215,214,211,228,229,229,230,232,232,211,194,184,172,163,161,140,175,193,188,177,153,133,117,87,91,221,217,217,215,215,212,228,231,231,230,231,235,222,193,188,181,167,155,137,160,187,178,164,143,120,106,63,155,232,217,218,217,215,213,228,230,230,231,230,233,230,209,195,182,169,158,142,146,172,167,150,128,111,83,84,221,221,220,219,218,216,214,228,229,229,232,233,235,233,219,201,188,174,163,150,144,161,158,138,119,104,59,158,234,218,220,219,218,217,213,229,230,230,230,233,234,233,227,211,185,168,158,154,151,154,152,134,116,84,90,224,223,222,221,220,219,217,213,230,230,231,231,233,235,232,227,211,187,180,178,172,164,148,146,127,108,68,156,236,221,222,221,220,219,217,214
22,121,125,129,133,138,144,148,151,154,157,159,160,161,162,163,163,162,161,161,161,160,159,158,158,157,156,155,154,122,127,130,134,140,145,149,152,155,157,159,161,163,164,164,164,164,163,163,162,161,160,159,159,158,158,156,155,124,128,132,136,142,147,150,153,156,158,160,162,164,164,165,166,161,162,164,163,163,162,159,160,159,159,157,157,125,129,132,137,143,148,152,155,158,162,158,162,165,166,171,179,146,152,164,165,169,164,151,159,161,160,159,158,126,130,134,138,144,150,153,156,166,180,147,155,166,167,176,186,135,143,165,167,179,159,135,158,162,161,160,159,127,131,134,139,146,151,155,158,170,188,144,149,167,169,180,185,136,143,166,170,183,148,132,160,163,162,161,160,129,132,135,141,147,153,156,159,168,191,154,146,168,170,184,189,142,146,168,177,184,142,134,162,164,163,162,161,129,133,137,143,149,154,158,161,169,198,171,146,168,172,187,190,145,148,171,187,188,140,141,165,166,165,164,163,130,134,139,144,150,155,159,162,168,200,186,147,166,174,189,187,145,147,174,197,186,138,148,168,168,167,166,164,131,136,140,145,151,156,161,164,169,198,196,151,160,175,192,190,146,147,182,203,174,130,153,170,169,168,167,166,132,137,141,146,152,158,163,166,170,194,202,163,155,175,197,194,148,153,196,203,159,127,160,171,170,169,168,166,134,138,142,148,154,160,164,168,184,195,183,161,147,173,195,189,151,167,209,197,146,135,168,173,171,170,169,168,135,139,143,150,156,161,166,174,209,217,192,158,128,155,182,183,175,190,206,182,135,149,174,174,173,172,171,170,136,140,144,151,158,163,168,179,217,226,208,171,123,123,153,172,186,190,183,155,131,163,177,176,175,174,172,171,137,141,145,152,159,165,169,183,213,211,201,193,159,128,123,141,166,173,160,129,134,173,179,178,177,175,174,172,137,141,146,153,160,165,170,188,218,204,189,202,199,162,121,110,134,154,146,118,140,178,180,180,179,177,176,174,138,142,147,154,162,166,171,196,222,196,171,174,201,191,151,112,107,128,132,117,149,181,182,181,180,179,178,176,138,142,147,155,163,168,174,203,223,190,154,144,173,200,186,145,108,102,109,114,161,184,184,183,182,181,179,178,139,142,147,155,162,168,176,209,226,190,151,153,163,200,210,182,138,102,92,113,170,186,185,184,182,182,180,179,139,142,147,155,162,168,176,210,225,190,152,164,179,214,219,200,166,124,95,119,177,186,185,184,183,182,180,179,139,142,147,156,163,169,176,210,225,187,158,171,197,228,223,203,175,131,96,126,181,187,186,186,184,182,181,180,139,142,148,156,164,170,177,209,225,185,167,175,212,236,225,198,162,122,96,135,184,189,188,186,185,184,182,181,138,142,148,156,164,170,177,205,224,188,177,179,221,235,222,194,148,111,100,148,187,190,188,186,185,184,182,181,136,140,145,152,159,166,171,198,223,197,186,183,225,230,214,184,138,105,105,157,183,184,182,180,180,178,177,176,122,124,127,131,133,136,138,166,217,208,194,187,221,218,199,166,128,103,102,128,138,137,136,136,135,134,132,134,107,107,108,109,108,108,109,136,208,210,193,182,206,201,175,147,120,103,97,99,99,98,98,97,97,98,114,140,108,108,109,109,108,108,109,130,197,198,181,170,182,181,157,136,120,106,99,99,99,98,97,98,107,134,171,185,109,110,110,109,109,109,109,124,181,182,167,159,164,169,156,136,122,109,101,100,100,99,98,102,138,184,194,183
20,164,166,170,172,175,177,179,180,181,182,184,185,185,185,185,185,184,185,184,185,184,184,182,180,179,179,178,177,166,169,172,174,177,180,181,182,183,184,185,187,186,198,188,173,185,186,186,186,186,185,185,184,183,181,180,179,168,172,174,176,179,182,183,185,185,186,187,188,187,213,190,145,183,171,186,188,187,187,187,186,185,183,181,181,171,174,177,178,182,184,185,187,188,189,190,192,190,218,190,149,196,145,179,192,190,190,190,188,187,186,184,183,173,177,179,180,184,186,187,189,190,192,193,194,193,219,193,159,210,148,168,195,194,193,192,191,190,188,186,185,174,179,180,182,186,188,189,191,193,194,194,195,195,227,206,163,216,163,162,197,196,196,195,193,192,191,189,188,176,179,182,185,188,191,192,193,195,196,197,198,197,230,200,169,224,176,161,199,199,199,197,196,194,193,191,190,178,180,184,186,190,192,194,196,196,196,198,200,202,231,193,177,225,175,156,201,201,201,199,198,196,195,194,193,179,183,186,189,192,194,196,197,198,199,215,213,201,227,194,180,227,169,156,203,203,202,201,200,198,197,196,195,181,185,188,190,193,196,198,199,199,208,245,241,196,165,170,176,222,169,162,206,204,204,203,202,200,199,198,197,184,187,190,193,195,197,200,201,218,227,216,215,193,141,124,150,195,159,167,209,206,206,204,204,202,201,200,199,185,188,192,194,197,199,200,211,242,240,202,177,194,177,163,139,153,144,167,210,209,207,206,205,204,203,202,200,186,189,192,196,199,201,202,218,220,185,209,185,172,208,204,154,121,123,165,211,209,209,207,206,206,205,203,202,188,191,194,198,200,202,203,220,214,144,136,131,117,182,210,169,123,113,162,212,211,211,209,208,208,207,206,205,190,192,195,199,201,204,205,223,207,171,147,117,113,133,216,202,146,110,161,214,213,213,211,210,210,209,207,206,191,194,198,201,203,206,206,229,231,195,153,129,133,131,212,228,173,115,153,216,215,215,213,212,212,211,209,207,192,196,199,202,205,207,207,233,232,182,145,135,148,158,218,243,196,133,146,216,216,216,214,213,213,212,211,209,194,198,200,204,207,209,209,234,232,187,157,152,162,184,240,245,203,147,146,217,217,217,216,215,215,214,212,211,195,199,202,205,208,210,212,236,241,201,171,166,179,219,254,239,195,151,143,216,218,217,218,217,216,215,213,213,196,200,203,206,209,213,213,236,246,214,180,178,196,240,254,235,189,150,143,216,220,219,218,218,219,217,214,214,197,199,202,206,209,212,212,232,249,223,192,184,209,248,246,225,186,146,137,217,222,221,220,220,220,219,216,215,198,200,202,206,209,212,212,229,249,227,203,198,213,249,238,210,180,139,132,215,222,221,219,218,218,218,216,215,198,201,205,208,211,213,214,223,246,234,217,215,211,240,228,201,175,134,129,215,223,222,221,219,218,217,216,216,198,201,206,209,212,214,216,219,241,240,225,222,205,217,209,186,166,126,132,220,224,224,223,221,220,219,219,204,200,203,207,209,212,215,218,219,236,247,229,213,190,189,191,172,164,119,149,227,226,226,224,223,223,215,189,139,201,204,207,209,213,216,219,218,233,247,222,193,163,166,181,166,155,110,179,230,228,227,226,224,195,146,113,96,199,203,207,211,214,216,184,127,179,239,202,172,150,161,185,157,136,110,209,229,228,229,225,186,127,106,96,88,170,175,180,184,188,190,126,43,125,230,207,174,150,169,188,139,113,76,149,217,220,221,186,122,102,94,86,84
15,82,81,82,84,85,86,89,100,112,121,130,139,146,150,151,154,158,163,168,172,176,179,180,182,184,187,188,191,81,81,83,84,84,85,90,101,111,122,131,139,146,150,151,155,159,164,169,173,176,180,181,184,186,188,190,193,81,82,82,84,85,86,90,102,113,123,132,141,148,151,151,154,159,165,170,173,177,180,182,185,188,190,193,194,81,81,82,83,85,86,91,102,114,124,133,141,148,152,152,154,161,167,171,174,178,181,184,187,189,192,193,195,81,81,84,82,84,85,91,104,116,125,134,143,148,152,153,156,161,167,171,175,179,181,184,187,190,192,193,195,82,82,80,97,110,95,95,104,117,126,135,144,150,152,153,158,163,168,173,176,180,183,185,188,191,193,194,196,82,81,82,176,150,128,124,118,115,120,133,140,139,141,147,158,165,170,175,178,180,184,186,189,192,193,195,197,81,82,88,164,135,118,118,114,104,121,121,123,117,118,119,126,138,155,169,179,183,185,188,189,192,193,195,198,82,83,81,107,104,90,95,86,88,112,103,105,101,122,124,120,120,123,131,138,147,168,190,191,192,194,196,199,83,81,82,82,84,83,86,81,86,91,88,85,91,120,119,115,117,123,132,120,105,101,141,197,193,195,198,200,81,82,82,84,84,86,93,105,114,116,118,115,106,109,103,101,98,127,141,130,113,111,85,146,201,195,198,201,81,82,82,83,84,85,93,107,117,130,139,147,151,132,100,95,129,146,144,135,114,128,104,80,165,202,199,201,82,82,83,83,84,85,94,107,118,127,144,161,149,128,113,137,175,134,144,120,147,136,121,99,85,186,203,202,81,81,82,82,84,84,94,108,115,148,184,153,120,110,100,109,160,110,108,153,159,132,154,124,80,106,206,204,80,80,80,80,82,82,93,107,110,179,182,118,104,112,112,91,107,77,104,189,125,131,161,140,100,65,149,210,80,79,79,80,81,82,92,107,110,168,154,103,111,129,135,125,101,79,115,147,92,125,161,147,111,76,77,164,79,78,78,79,80,82,94,107,112,160,144,89,119,135,147,133,98,93,102,106,112,130,137,129,104,78,69,79,78,77,78,80,80,81,92,106,111,165,190,119,115,136,142,124,90,91,100,105,117,124,110,89,84,75,70,72,76,77,77,79,79,80,91,106,111,167,163,186,146,107,96,87,83,95,99,103,111,123,107,76,73,73,73,77,76,77,76,78,78,80,90,105,112,198,167,172,169,130,90,47,53,83,102,108,118,127,103,76,73,74,76,78,73,74,74,75,75,78,90,103,113,149,160,175,163,152,120,70,27,36,64,116,116,111,89,77,78,80,78,77,76,75,74,74,74,77,89,102,114,123,134,147,140,142,124,113,54,42,61,113,126,108,92,89,91,89,83,78,130,125,121,117,119,121,121,124,126,130,134,136,120,116,139,164,92,48,73,77,122,132,120,107,97,89,81,78,109,108,107,110,112,110,109,108,102,101,104,108,110,108,118,178,98,86,89,76,90,101,101,95,86,80,76,74,113,112,113,113,113,112,113,115,109,109,112,113,114,115,110,125,104,116,117,111,111,98,84,80,77,73,70,70,117,115,114,115,116,115,114,117,117,116,118,117,116,118,119,115,119,117,118,121,134,127,105,86,80,74,70,70,119,119,116,116,118,117,117,118,118,118,118,118,118,117,118,118,119,119,117,116,130,137,127,99,92,101,92,76,119,118,116,116,118,119,119,119,119,120,120,119,118,118,118,118,118,119,118,119,112,138,170,123,128,133,116,98
21,121,123,130,138,144,150,153,156,161,164,169,170,173,177,179,179,180,183,182,183,185,185,184,184,185,186,186,186,123,126,134,141,147,151,155,158,163,168,170,173,177,180,182,182,188,185,187,187,187,187,186,187,189,189,188,188,124,128,137,143,149,155,158,162,166,170,172,176,180,182,189,164,142,191,188,190,189,192,196,192,192,193,192,193,126,131,139,145,152,157,161,164,168,172,176,180,183,185,195,174,85,182,195,191,195,179,166,199,196,195,195,195,129,133,141,149,154,159,164,167,171,174,178,182,187,186,197,186,94,158,203,194,197,184,102,173,205,198,198,197,132,135,143,152,157,162,165,169,174,178,181,185,190,189,199,189,103,132,208,194,200,194,111,138,212,199,199,199,133,138,146,154,159,164,168,173,176,181,184,188,191,194,198,192,123,117,206,199,202,191,119,118,212,200,201,201,134,141,148,156,161,165,170,174,178,182,187,191,193,195,197,206,158,109,194,204,203,194,128,109,210,204,204,204,137,142,151,158,164,168,172,176,180,184,187,192,195,197,197,212,171,109,173,211,204,202,151,105,207,208,208,207,138,143,153,160,165,170,173,178,182,186,190,194,196,200,201,219,179,117,148,216,204,203,162,101,199,212,210,211,138,145,155,162,166,171,175,180,183,188,192,196,197,197,191,226,203,146,135,215,209,202,169,101,192,216,210,212,139,147,157,162,168,172,176,181,185,189,193,196,199,194,174,181,224,177,133,208,211,214,190,110,188,217,211,212,141,147,157,164,169,174,179,183,187,192,196,197,212,233,217,173,165,161,125,201,215,213,195,111,186,220,212,212,142,150,159,165,171,176,181,185,188,192,196,200,205,199,212,204,158,107,91,175,213,198,187,109,182,223,213,215,143,149,159,166,173,178,180,185,190,195,198,202,202,178,155,144,171,132,122,119,140,167,170,106,177,228,215,217,145,152,162,167,174,179,183,187,191,196,200,202,210,219,193,130,126,177,180,168,121,101,144,99,167,229,215,218,146,155,163,169,174,179,185,189,192,197,201,206,195,183,203,156,76,123,192,186,140,76,99,86,167,231,218,219,147,156,164,170,175,179,184,188,193,198,201,207,195,109,149,170,94,48,117,174,155,115,74,65,158,232,218,221,147,157,166,172,176,180,185,189,194,198,203,208,193,158,133,155,135,96,27,130,185,148,94,54,129,235,220,222,146,155,164,171,176,181,186,190,194,199,203,207,211,193,125,98,135,116,49,81,188,177,129,75,99,232,222,223,145,154,163,169,174,179,185,189,194,199,203,204,220,186,150,120,85,75,87,126,185,201,151,111,86,215,226,224,148,156,164,170,175,179,185,191,195,199,204,204,223,214,185,120,93,103,131,208,207,185,150,118,83,207,227,223,149,157,165,171,177,181,187,191,195,200,205,205,222,216,167,112,119,131,162,235,210,174,129,101,79,209,228,223,148,157,165,171,177,183,188,191,195,200,203,204,217,214,161,145,137,122,180,237,198,163,121,88,81,213,227,224,148,157,166,170,176,182,186,190,194,199,202,204,212,208,181,153,128,124,189,233,193,155,114,87,84,216,227,226,151,160,168,175,182,187,191,195,201,206,208,210,211,203,186,138,138,136,183,222,189,153,108,82,89,219,225,224,119,123,131,138,142,148,155,162,170,177,182,185,192,200,187,143,165,141,168,206,168,135,101,76,101,233,228,230,88,89,88,88,89,91,93,96,98,99,101,101,109,185,189,158,169,148,153,196,147,114,91,79,92,155,159,165
12,60,67,81,102,109,119,125,133,135,138,143,146,150,153,157,160,161,164,165,167,169,169,171,172,172,172,172,172,61,68,82,104,112,122,128,134,136,140,143,147,151,154,157,160,164,164,167,169,170,171,172,172,173,174,173,174,62,68,84,103,114,124,130,134,138,143,144,146,154,161,158,165,154,167,170,172,172,172,173,177,176,177,176,175,64,70,89,106,115,124,130,135,140,145,150,166,120,120,171,180,109,96,173,167,172,179,175,179,178,179,179,178,64,73,90,110,117,127,132,138,146,137,190,188,131,85,145,185,127,68,103,122,95,158,185,178,180,180,181,180,66,75,91,110,119,127,133,139,147,139,216,199,153,107,117,186,143,106,61,117,80,85,182,182,182,182,184,183,68,77,97,112,119,128,135,141,144,150,219,224,174,116,111,191,148,114,55,102,108,57,145,192,181,183,186,185,69,79,99,113,122,130,138,144,138,174,185,211,193,121,99,198,149,107,50,97,105,59,157,191,186,186,188,188,71,80,99,113,125,133,135,134,147,184,179,165,172,109,73,168,146,93,47,101,95,66,176,191,188,188,188,188,71,81,101,114,124,130,147,204,218,138,83,93,142,87,53,118,103,70,53,99,83,79,190,189,190,189,190,190,71,83,106,114,125,124,195,249,185,113,82,50,119,87,45,94,87,64,50,84,70,88,196,189,192,191,191,191,73,86,105,116,125,135,212,174,157,121,99,51,97,133,57,88,126,82,63,118,90,100,203,190,193,193,194,194,73,87,107,119,121,153,206,133,139,138,104,68,34,84,33,53,120,78,64,143,117,58,130,204,192,195,194,195,74,88,109,118,119,166,197,140,109,138,102,88,19,0,32,67,77,69,104,114,82,54,68,192,197,196,195,196,74,91,110,118,119,171,220,161,118,102,90,71,12,26,88,140,148,136,136,112,89,82,83,194,198,196,196,196,75,95,113,122,118,180,218,160,136,92,66,57,37,70,140,174,175,161,140,106,96,75,119,206,196,197,197,197,77,96,115,123,119,182,212,173,147,104,81,108,99,144,185,189,182,154,123,103,80,63,165,204,197,198,199,199,78,97,113,123,123,175,201,167,142,108,107,121,112,185,188,187,181,143,112,98,71,90,201,197,199,200,200,200,79,99,113,125,127,159,198,162,137,114,112,100,120,178,175,183,167,128,102,91,65,144,208,197,201,200,201,201,81,101,113,123,132,148,195,156,139,126,117,114,144,168,174,173,146,115,95,78,76,188,201,200,202,202,204,204,83,104,117,125,135,140,184,163,153,151,132,122,152,164,167,147,121,101,87,67,116,207,198,201,204,204,205,204,85,104,115,127,137,136,171,177,156,147,129,113,126,147,147,123,97,87,81,73,176,205,200,201,204,206,206,206,87,106,115,126,136,140,160,189,148,137,120,103,98,116,115,101,83,85,68,127,207,199,202,204,205,206,206,206,88,107,115,127,136,143,152,198,165,134,108,95,102,103,103,95,80,77,80,190,200,201,204,205,206,206,206,207,87,107,116,127,136,143,149,196,183,138,111,109,120,104,103,101,82,57,125,208,198,203,205,206,207,207,207,207,90,107,117,126,139,141,165,212,198,151,136,129,127,104,92,87,75,43,138,211,199,204,205,206,207,208,208,208,90,109,118,129,132,167,199,190,225,161,146,129,120,100,85,73,69,39,142,211,198,204,206,206,207,208,208,208,92,110,118,130,133,210,219,153,202,169,151,126,113,97,72,70,67,42,156,210,200,205,207,207,208,208,208,209
0,143,145,147,148,149,152,151,149,149,150,149,149,149,148,147,147,145,146,145,145,143,142,142,139,140,138,137,136,145,146,148,150,151,153,153,153,151,151,151,151,152,150,149,148,146,146,145,146,145,143,143,141,141,139,138,138,146,147,149,152,152,154,154,154,153,152,152,152,153,151,149,148,146,149,148,146,146,144,144,142,141,141,139,140,148,149,151,152,153,155,155,155,155,153,154,153,151,153,151,167,147,120,144,150,147,149,145,144,143,142,140,140,149,150,152,153,154,155,156,157,157,157,155,152,164,148,151,196,155,112,85,131,117,128,150,141,144,142,142,140,151,153,154,155,155,155,156,159,157,156,152,169,190,159,154,199,160,114,79,144,115,74,109,83,122,149,143,143,152,154,156,155,157,158,159,157,159,171,137,180,190,163,152,204,172,101,133,172,110,48,74,56,117,151,144,144,152,156,158,157,159,160,163,153,181,207,156,176,200,160,134,197,178,102,102,147,93,44,81,60,134,149,145,145,156,157,159,160,160,161,161,157,191,223,188,148,209,168,109,161,155,97,61,118,72,70,113,58,129,150,144,147,157,158,159,160,160,163,159,170,180,209,203,127,180,154,85,115,137,93,58,115,66,114,136,62,112,155,145,148,159,161,161,161,161,164,159,179,170,171,168,107,144,134,70,63,141,86,52,126,75,150,145,66,116,157,147,148,158,161,161,162,163,165,158,190,189,157,150,88,116,136,66,41,148,97,55,64,126,173,129,60,129,156,149,148,159,161,162,162,164,164,167,199,157,118,144,106,84,154,77,49,131,155,154,88,140,164,106,59,144,154,151,149,161,163,162,164,164,163,177,208,170,123,105,114,82,136,89,108,171,180,161,135,104,126,93,70,156,153,153,150,161,164,165,166,167,165,179,212,176,142,114,106,146,152,168,183,179,165,139,122,105,83,79,74,158,152,153,151,163,165,168,168,170,163,191,219,183,163,147,129,153,187,195,196,180,158,134,113,97,72,58,82,161,152,153,153,163,166,168,169,170,165,200,218,190,176,158,141,168,198,206,208,182,153,133,108,85,66,52,129,161,155,155,154,165,168,168,169,172,166,202,213,190,171,153,145,173,201,210,207,183,153,124,98,76,54,81,164,158,155,155,154,163,165,168,168,172,166,199,214,193,172,152,142,168,195,198,190,175,146,113,84,66,53,136,163,157,156,156,154,163,165,169,169,171,166,184,210,188,171,158,146,171,186,178,164,144,123,102,77,57,122,165,158,157,157,156,154,163,166,169,169,172,167,181,197,174,176,168,148,168,179,163,138,115,107,86,67,126,167,160,160,159,158,156,153,168,168,171,171,173,170,181,197,177,178,164,148,162,175,153,117,97,89,66,127,169,162,163,161,159,158,156,155,167,168,169,171,173,170,187,213,195,170,154,152,150,162,132,94,85,64,118,171,164,163,164,163,160,159,158,155,167,168,170,168,181,164,161,231,204,169,155,156,137,147,111,81,63,97,171,165,166,164,163,162,162,161,161,155,165,168,171,166,191,234,144,171,194,162,156,146,131,135,91,63,51,146,170,163,164,164,161,162,161,156,142,131,169,171,175,168,197,239,220,104,208,192,177,164,141,130,93,63,56,158,171,172,168,158,165,168,146,122,128,121,115,117,115,107,215,234,239,112,115,209,189,172,145,124,103,91,76,91,104,95,100,150,173,160,138,80,150,134,63,64,50,97,239,230,239,135,62,201,177,158,134,116,97,83,79,70,49,68,150,183,160,135,148,69,120,152
0,191,191,193,193,193,195,196,196,196,197,195,196,196,195,195,194,196,200,196,196,196,196,196,196,194,194,195,195,193,193,194,195,194,195,196,196,197,199,197,196,197,198,198,204,183,165,194,201,195,202,199,198,198,196,197,197,194,196,195,196,196,196,196,197,198,199,199,199,191,168,186,219,169,138,132,161,151,162,200,179,170,200,198,200,194,196,196,196,198,199,197,198,198,200,203,223,193,156,136,199,175,165,116,92,141,126,146,168,118,205,197,200,196,196,197,198,200,199,200,199,201,179,200,232,190,174,137,201,189,172,129,105,159,139,113,162,115,200,202,201,197,196,198,199,200,201,196,209,221,160,143,220,202,184,137,196,212,178,133,118,174,138,96,146,109,186,207,201,197,197,199,201,201,201,197,225,219,178,147,193,224,184,135,182,222,182,128,121,180,132,81,136,110,135,215,198,198,198,199,201,203,198,216,209,213,192,161,156,230,182,130,163,227,176,121,98,159,123,72,125,130,82,195,206,198,199,200,203,200,206,217,183,219,202,165,129,219,183,129,128,214,161,108,75,130,111,67,128,141,75,168,214,200,201,202,202,200,216,199,159,204,205,167,115,196,181,125,98,180,148,108,74,110,99,67,143,150,85,167,214,200,201,202,202,202,218,201,170,184,189,153,100,160,168,121,77,151,143,109,71,113,94,92,173,164,93,169,216,198,199,201,199,210,207,185,151,150,176,143,94,132,162,116,59,128,145,97,69,131,93,137,190,163,94,174,216,198,199,200,197,211,224,196,160,119,166,140,84,121,161,117,54,127,156,98,143,173,123,141,190,164,97,185,213,197,200,202,199,209,227,201,167,115,116,145,96,111,172,128,62,119,165,162,189,177,153,119,158,161,96,191,211,199,201,202,199,213,229,208,180,146,102,125,121,107,178,147,136,180,189,186,174,162,143,127,110,123,86,190,213,201,201,203,199,213,230,215,188,163,147,135,141,161,173,188,206,206,198,183,171,152,128,120,102,93,80,187,214,200,202,203,200,212,227,219,198,179,169,158,148,163,185,198,204,205,202,185,167,149,124,108,100,88,83,200,212,198,201,204,201,209,222,221,207,194,183,167,159,157,178,193,201,199,195,181,160,146,122,104,95,79,149,217,209,200,202,204,200,200,221,220,219,206,189,170,162,161,178,196,205,195,187,176,158,140,117,100,78,135,214,208,209,190,191,196,197,190,215,221,225,206,190,174,162,162,180,202,202,192,181,172,154,132,111,85,106,212,212,212,212,113,114,118,124,114,196,221,218,203,192,178,164,158,181,197,189,176,167,158,142,121,104,80,158,202,198,203,201,97,99,99,101,81,163,221,200,196,195,184,168,155,177,191,179,161,145,133,122,109,96,95,109,114,112,108,122,105,105,106,108,91,148,216,188,195,197,185,169,154,171,189,173,149,121,109,103,93,98,105,96,93,109,156,197,103,102,102,105,93,139,215,182,196,196,181,170,157,167,183,166,131,101,94,88,103,105,104,120,167,215,225,211,104,102,101,106,96,134,226,195,197,192,175,168,159,155,166,154,113,92,87,95,103,118,184,222,236,223,211,199,101,101,103,105,94,128,229,206,203,190,174,169,165,146,157,147,104,89,86,94,141,218,240,236,230,222,228,219,104,102,102,105,96,125,218,210,207,188,174,172,166,139,151,143,99,81,80,161,225,229,232,232,215,215,227,231,105,102,103,106,95,126,208,208,204,182,171,171,168,136,143,137,98,65,133,231,211,229,225,216,212,217,223,229
2,211,211,213,215,215,215,216,216,216,216,215,214,213,212,212,213,210,209,208,204,205,204,201,199,197,195,193,192,213,215,215,217,218,218,218,219,218,217,217,215,217,219,219,217,216,216,215,213,205,205,203,201,200,198,196,194,216,218,219,219,220,220,220,220,220,219,219,220,206,194,199,197,187,180,171,188,217,206,203,203,201,200,198,196,218,219,220,220,221,222,222,221,223,221,222,210,183,176,180,179,166,142,119,106,164,211,210,205,204,202,199,197,220,221,221,223,224,224,225,223,225,226,214,185,184,189,177,180,185,134,126,140,142,145,178,207,205,204,202,199,221,223,224,225,226,226,226,227,228,228,216,202,191,170,154,153,141,82,90,120,130,94,89,199,210,205,202,200,223,223,225,227,227,229,229,230,231,223,216,206,184,151,122,102,117,162,185,152,126,100,146,214,208,207,203,201,224,225,227,228,228,231,231,232,227,203,201,183,142,85,57,118,233,230,228,228,221,214,221,213,209,207,205,203,226,227,229,229,230,231,233,234,223,199,184,137,84,64,53,178,237,221,222,220,219,219,214,213,211,209,206,204,225,227,231,231,231,232,234,234,221,199,142,79,59,48,101,233,227,227,224,222,220,217,217,221,218,211,208,206,227,229,232,233,233,235,236,230,223,197,133,61,59,41,159,244,226,229,227,224,221,223,214,182,172,205,211,208,228,230,232,233,236,237,237,226,223,188,127,62,71,57,153,245,228,230,229,225,225,217,151,111,97,155,218,206,229,231,232,236,237,238,236,226,218,178,102,67,81,60,167,245,231,231,229,229,224,158,125,127,103,150,221,207,230,232,235,237,238,239,234,229,217,169,107,89,79,59,196,243,231,233,231,231,166,121,132,117,103,201,216,211,231,234,236,237,238,240,231,229,216,174,120,94,75,57,142,254,236,231,240,184,101,110,123,91,155,227,213,214,232,235,235,237,238,243,230,226,213,171,124,94,72,73,73,137,216,244,191,127,103,102,97,98,221,218,216,213,233,235,238,239,238,242,230,224,204,168,134,93,73,75,82,76,108,149,106,109,122,96,87,194,226,218,218,214,235,238,239,240,241,241,228,223,205,169,125,90,72,74,80,91,96,87,91,107,98,99,205,232,220,221,218,214,234,237,238,240,243,241,223,230,219,164,125,96,71,77,83,87,99,103,93,99,94,210,234,221,222,221,218,215,236,238,238,240,242,237,221,238,213,158,124,97,73,77,85,88,97,105,95,69,190,241,223,224,222,221,219,217,237,239,240,242,244,232,226,236,200,150,123,101,74,77,89,95,99,102,77,152,241,229,228,226,224,221,221,219,237,239,241,243,246,229,227,227,191,144,125,102,74,79,94,99,103,83,102,243,232,231,230,228,226,223,220,219,238,239,241,243,244,227,229,216,178,147,127,100,74,80,97,94,95,61,189,246,233,233,231,229,227,225,222,221,238,240,243,244,245,225,221,199,168,142,119,96,73,79,95,93,61,133,250,236,236,234,232,229,227,226,222,221,237,239,241,244,242,225,210,194,164,138,117,93,74,81,92,63,112,243,240,237,235,233,232,229,227,225,222,220,238,240,242,244,239,223,199,185,153,130,110,91,76,73,56,119,241,246,239,239,237,235,234,230,228,227,224,221,238,240,243,242,239,218,196,181,150,125,103,87,63,80,180,248,246,241,240,240,238,236,235,230,228,227,224,220,237,240,241,239,236,212,192,175,152,121,98,75,58,202,255,242,242,244,241,240,236,234,234,230,228,225,223,220
11,203,206,208,210,213,212,213,214,214,214,212,211,208,209,209,207,204,203,201,201,199,198,195,193,192,191,189,185,206,209,210,213,213,216,216,216,215,214,215,213,211,212,214,211,208,207,205,203,202,201,198,196,194,193,190,187,206,210,214,214,216,218,218,218,218,218,217,214,213,213,197,210,213,209,208,206,203,202,200,199,196,194,193,191,210,212,215,218,220,219,219,220,220,220,219,218,215,233,162,148,221,209,210,210,206,204,204,201,199,195,194,193,212,214,217,221,222,221,221,221,222,221,222,220,219,238,169,113,218,212,212,212,210,207,206,204,202,198,195,194,214,216,219,221,222,223,222,224,224,224,222,221,221,232,167,118,214,215,212,213,211,210,208,205,203,201,199,196,217,219,221,222,224,226,226,226,226,226,225,223,222,249,184,124,211,220,214,214,213,212,210,207,205,202,199,198,218,222,223,225,228,228,229,229,227,226,227,226,226,255,194,121,203,224,215,215,214,213,211,208,207,203,201,200,220,223,224,228,229,229,230,230,230,229,228,225,233,250,177,113,205,224,217,217,217,214,212,209,207,206,204,202,221,223,227,229,229,230,230,230,230,230,233,230,240,239,174,109,212,225,219,219,218,217,215,212,209,208,204,202,222,227,230,231,231,231,233,237,239,232,199,183,247,234,176,119,218,224,222,222,220,219,217,214,211,208,203,203,227,229,231,231,235,240,235,212,205,225,175,106,192,208,147,120,230,225,222,222,221,220,217,215,214,210,207,204,227,230,234,234,220,206,238,181,110,150,194,124,89,120,93,131,242,227,225,223,222,221,219,216,214,212,209,205,228,232,234,244,212,118,178,199,107,131,197,123,70,87,74,171,242,227,228,226,225,224,222,220,213,212,211,208,232,232,241,254,229,142,133,212,114,129,177,109,72,86,74,183,241,228,229,225,221,212,201,207,221,216,211,209,234,233,255,255,233,153,103,181,106,110,159,100,68,73,63,180,245,229,229,215,211,189,164,152,159,210,213,209,232,242,255,240,219,160,80,135,99,125,171,117,62,69,68,189,241,227,243,221,181,145,118,112,78,165,224,209,233,244,255,241,217,150,76,156,106,144,229,147,75,82,85,165,230,233,216,147,80,92,137,158,145,197,221,212,235,248,255,255,201,127,98,203,155,146,255,144,72,106,141,176,222,213,147,70,120,221,236,233,231,224,216,212,234,251,255,246,189,189,128,222,237,92,157,121,115,162,152,171,180,140,74,143,243,233,227,224,220,219,218,214,234,250,255,245,212,194,126,183,175,92,174,210,188,169,136,138,123,68,140,250,233,231,230,227,224,221,220,217,238,248,255,254,231,197,203,216,222,209,202,191,174,157,130,105,70,115,243,237,235,233,230,228,225,223,221,218,238,243,255,250,228,198,184,199,224,209,192,180,155,148,116,64,131,238,241,237,236,234,230,229,227,225,222,220,255,254,255,247,215,172,159,185,195,185,179,155,147,129,70,153,254,243,240,240,238,235,230,229,228,227,222,220,97,173,247,222,188,153,179,191,185,171,156,141,107,80,173,255,241,240,240,238,238,235,232,230,227,225,221,220,41,61,204,223,214,212,196,179,173,144,113,68,119,219,255,243,243,241,239,238,237,235,233,230,226,223,220,218,71,63,77,165,210,203,179,162,149,116,62,111,255,254,245,245,245,243,240,239,237,235,233,230,230,225,222,221,59,62,54,62,113,137,146,136,111,77,51,216,255,246,248,247,245,244,243,240,237,237,234,231,229,225,223,210
14,141,146,150,154,157,160,161,163,167,168,168,170,171,172,173,173,173,172,172,172,171,171,171,170,170,169,168,167,141,147,151,155,159,161,163,165,167,167,169,171,172,173,174,174,173,173,174,173,173,172,172,171,171,170,169,169,143,147,152,157,161,161,163,166,168,169,171,172,173,174,174,177,176,174,174,173,174,173,172,172,172,172,170,169,144,149,154,158,160,162,165,168,170,171,173,174,174,176,176,178,177,176,176,174,174,174,174,173,173,173,172,171,145,150,155,159,161,165,166,169,171,172,174,176,175,176,182,175,178,177,175,179,179,175,175,175,175,174,173,172,145,150,155,159,163,165,166,170,172,173,175,178,172,206,222,204,206,196,170,156,167,181,174,175,176,175,174,173,145,152,157,160,164,165,167,172,173,174,176,175,183,225,221,221,208,192,180,165,154,153,178,179,174,175,175,174,147,154,158,162,165,168,170,172,175,175,179,172,214,229,201,178,158,134,137,153,146,92,106,174,178,175,176,176,148,154,159,163,166,169,171,173,176,179,178,182,233,220,161,100,90,90,92,109,108,100,89,103,180,179,177,176,149,155,159,163,168,170,172,175,176,181,172,207,236,202,131,73,81,90,75,82,104,130,114,70,125,186,178,179,150,156,160,165,168,171,173,175,178,179,175,235,221,159,86,60,87,93,79,87,92,94,100,119,97,142,184,177,153,158,162,166,170,172,174,175,179,175,200,242,178,108,64,64,63,70,89,88,95,97,110,128,122,132,139,182,154,159,163,167,171,173,175,179,179,181,240,228,161,110,86,82,74,64,91,96,144,128,121,110,162,139,124,185,154,160,165,168,172,174,176,181,175,205,255,214,155,112,98,87,86,89,78,146,195,190,182,164,178,111,131,190,155,161,166,170,174,175,178,183,174,223,255,205,147,108,98,85,86,90,108,191,188,187,188,169,173,110,129,191,156,161,166,171,174,177,181,183,177,231,251,202,138,98,86,78,87,83,148,196,187,191,183,163,166,113,114,189,156,162,167,171,175,177,181,181,179,243,245,203,148,101,80,79,77,62,163,203,187,194,167,154,155,123,111,182,157,163,168,172,176,177,180,180,185,252,239,200,149,102,80,69,69,65,85,163,200,188,151,158,144,119,138,188,157,161,167,171,175,178,183,179,200,255,232,196,150,104,73,64,77,90,85,89,124,134,158,170,144,119,180,188,158,163,168,172,176,180,185,177,217,255,228,191,151,106,73,63,76,86,91,106,103,121,163,156,121,152,193,186,157,163,169,172,177,181,185,178,232,250,221,185,155,111,77,69,79,86,104,126,130,127,152,130,133,193,188,187,155,161,168,172,176,180,182,181,240,242,211,183,169,113,84,85,96,107,126,134,126,121,126,114,175,193,188,189,155,163,170,174,177,180,181,185,240,232,201,196,173,106,98,90,108,123,137,129,120,115,105,144,195,189,190,189,158,164,170,174,178,181,180,189,238,223,204,208,170,122,111,90,112,132,137,123,114,106,152,195,192,193,192,190,157,164,170,174,178,182,181,192,234,225,215,213,179,138,114,94,107,128,130,119,105,125,200,194,193,193,193,191,157,165,171,175,178,183,180,199,243,234,225,218,182,140,115,100,103,122,120,113,103,170,199,194,195,193,192,189,158,163,169,174,178,182,178,204,245,234,231,208,168,132,115,105,105,114,113,103,147,198,194,195,194,193,191,189,156,160,166,171,175,180,176,209,241,232,225,186,150,124,113,109,111,112,108,144,197,194,195,195,193,192,190,188
18,186,189,191,191,193,195,197,199,199,199,201,203,204,204,206,208,207,208,209,211,210,211,211,210,209,209,210,209,187,189,192,193,194,196,198,199,200,202,203,204,205,205,207,209,210,209,208,210,212,212,213,212,211,211,210,210,188,190,192,195,197,198,198,200,201,202,203,204,204,206,207,211,214,209,209,210,209,211,213,213,214,211,210,210,189,190,195,196,197,199,198,201,203,203,204,204,207,207,209,196,191,215,209,213,212,212,214,213,213,213,213,213,189,191,196,195,196,198,200,200,203,205,206,208,212,207,220,194,142,179,217,212,212,216,213,212,213,214,215,215,189,192,196,196,197,197,201,202,202,205,208,199,184,206,212,206,146,100,191,216,192,181,208,216,214,215,213,214,189,190,194,196,198,198,202,205,204,208,223,202,158,161,218,189,163,114,130,173,165,146,150,223,214,216,214,214,190,191,195,197,197,199,201,200,193,224,225,201,166,141,235,207,192,155,116,122,149,144,105,202,219,215,215,214,191,193,196,198,198,197,216,204,155,200,227,195,162,161,233,232,212,165,121,106,132,133,95,170,227,215,216,215,192,193,196,199,195,212,237,204,151,184,229,195,152,180,222,225,209,165,117,93,111,123,91,172,227,215,217,217,193,195,196,198,196,221,239,206,152,171,228,199,140,195,222,223,205,162,116,83,98,109,90,190,225,215,217,218,194,196,197,198,199,211,229,208,156,159,228,196,127,159,207,232,201,155,111,83,89,93,106,210,222,216,218,217,194,196,199,195,207,225,208,206,167,141,206,182,126,85,174,239,192,150,104,86,83,83,133,227,217,219,219,220,193,196,198,200,214,205,183,174,159,106,150,149,112,42,192,242,190,142,101,87,89,87,150,230,215,219,219,221,195,196,195,211,227,190,175,145,125,93,120,136,79,95,241,225,185,144,105,80,89,86,166,231,218,221,221,221,195,198,196,213,236,203,179,152,147,95,120,136,155,225,241,215,179,145,108,91,94,97,204,224,220,222,222,222,196,200,193,226,233,200,179,158,149,128,134,192,254,226,211,205,173,135,104,95,83,123,229,218,221,221,221,220,198,197,197,241,224,200,180,161,158,160,182,254,247,218,190,189,162,122,100,99,93,190,226,219,219,220,219,218,198,195,208,246,218,200,191,171,168,163,232,255,239,209,174,174,151,109,104,93,171,228,218,221,220,220,220,218,198,194,217,246,217,209,200,171,174,209,254,246,226,201,166,159,140,107,92,142,229,219,221,221,222,221,221,220,199,195,219,247,221,215,205,174,196,239,242,236,219,185,158,147,127,98,105,214,223,221,221,221,222,222,221,222,199,197,213,242,225,218,204,184,210,239,230,216,212,173,151,137,116,87,168,230,220,222,221,222,222,222,222,222,200,197,210,242,227,217,202,198,209,234,215,208,188,169,138,127,103,111,222,220,222,222,222,223,224,222,221,222,200,195,215,239,219,208,198,203,207,223,202,204,172,162,128,118,87,159,234,220,222,223,223,224,224,223,221,220,199,195,222,222,205,202,195,201,211,210,189,202,184,145,123,110,92,203,225,221,222,222,223,224,224,224,222,221,200,196,224,202,194,199,196,199,211,202,189,202,182,138,117,94,136,232,218,222,223,222,222,223,224,222,222,222,199,196,234,216,205,207,209,208,216,195,185,190,164,131,107,103,209,224,222,224,223,223,224,224,225,223,222,223,196,200,244,227,207,211,218,213,220,178,176,175,147,123,93,176,231,221,223,223,224,225,225,225,225,224,223,223
14,117,121,127,131,134,136,137,140,143,143,144,145,146,147,147,148,147,148,148,146,145,145,144,144,144,142,141,140,118,124,129,133,137,139,141,143,145,146,146,149,149,151,151,151,150,152,150,150,149,148,147,146,146,144,144,144,120,126,130,135,139,142,144,146,147,149,151,152,152,153,153,154,152,153,156,154,153,151,150,148,148,147,147,145,123,126,132,136,141,145,145,148,151,151,152,154,156,156,156,158,153,155,143,150,154,156,153,151,152,151,148,148,124,129,135,138,142,145,148,150,152,154,155,158,160,158,158,158,178,164,132,136,135,130,159,156,152,154,153,151,127,132,137,142,144,146,149,153,153,153,158,161,162,160,161,183,179,165,147,133,123,102,100,151,159,154,154,154,129,134,140,144,146,147,150,155,156,157,160,161,162,163,183,185,185,155,145,166,132,95,50,77,165,157,157,156,130,137,141,144,148,152,154,156,160,160,162,163,162,172,186,175,168,90,39,128,98,138,50,4,98,171,156,159,132,137,141,146,151,154,156,158,161,162,165,166,175,192,177,99,60,50,15,10,51,172,100,24,58,168,160,160,136,140,144,149,153,154,158,160,162,165,165,178,202,199,159,103,46,4,1,1,0,125,136,60,31,157,165,162,136,142,147,152,153,157,160,162,166,167,168,200,197,157,109,82,56,17,0,0,16,121,103,72,33,124,175,163,135,142,148,153,155,160,162,163,167,161,192,206,183,143,67,27,27,12,0,27,144,180,156,129,47,95,180,162,137,143,149,154,157,159,163,168,162,180,219,193,176,139,73,28,2,0,15,169,183,162,155,103,25,119,181,167,139,145,150,155,158,161,165,165,170,216,203,188,170,111,71,37,0,0,136,192,174,163,140,102,16,75,188,167,141,147,152,157,160,163,168,164,209,221,199,188,155,119,79,18,0,2,66,130,197,146,118,88,35,22,156,178,142,149,154,158,163,168,165,185,228,216,197,176,151,106,59,8,5,22,15,33,151,107,118,87,60,19,134,185,143,151,156,160,165,170,165,215,225,209,188,171,141,77,38,6,41,54,56,52,42,92,120,93,32,67,180,176,145,152,157,162,164,163,186,228,211,199,178,156,115,71,34,32,63,69,70,78,58,88,106,63,39,169,182,177,145,152,159,162,176,171,218,219,203,186,163,149,103,73,42,51,70,75,73,70,71,76,77,34,148,189,177,179,146,152,160,164,95,164,239,211,192,176,159,132,112,73,45,59,76,71,61,60,75,38,19,139,193,181,183,180,147,153,170,115,22,47,162,204,167,145,129,117,89,44,45,49,63,66,53,53,32,20,124,197,182,185,184,184,147,158,149,43,41,30,27,93,140,128,87,51,16,19,32,32,45,50,33,32,101,172,197,185,188,186,184,184,149,163,80,39,30,28,25,22,35,41,28,10,2,6,10,10,11,11,44,149,205,196,191,190,188,187,186,186,159,117,36,39,23,23,21,28,9,0,0,0,0,0,0,0,47,124,183,203,191,192,193,191,190,190,187,187,146,60,38,25,22,20,18,15,30,0,0,0,0,0,0,0,20,210,197,193,195,195,194,192,192,192,189,189,86,34,28,23,22,18,13,12,23,0,0,0,0,0,0,0,48,207,192,197,195,196,196,194,194,193,190,190,50,30,16,17,14,6,6,7,25,0,0,0,0,0,0,0,141,214,196,199,198,198,196,195,194,193,192,191,49,31,21,6,0,45,29,0,28,0,0,0,0,0,0,0,185,204,199,199,199,198,196,196,195,194,192,192
13,162,165,167,168,170,172,174,175,175,176,177,178,178,178,178,178,177,176,176,175,174,173,172,172,171,169,167,166,163,165,167,169,171,173,175,176,177,178,179,179,180,180,180,179,179,179,178,177,175,175,174,173,172,170,169,167,164,166,169,170,172,174,176,177,179,180,181,181,181,181,181,181,181,181,181,179,178,177,176,175,174,172,171,170,165,168,170,171,172,175,177,179,180,181,182,183,183,182,182,182,182,183,183,181,180,179,178,177,176,175,173,172,166,169,171,172,174,176,179,180,181,182,183,184,182,174,173,180,181,174,173,179,181,181,180,179,178,176,174,173,167,169,171,173,175,178,180,181,183,184,184,185,175,150,136,156,165,144,129,152,180,182,181,180,179,178,176,174,168,170,172,174,176,179,181,182,184,185,186,188,180,152,126,117,136,131,104,111,169,184,183,182,181,179,177,175,169,171,173,175,178,180,182,184,185,187,188,191,190,163,132,100,113,130,105,91,154,185,185,184,183,181,179,177,170,173,174,175,178,181,183,185,186,188,189,190,190,165,130,94,96,119,101,82,144,185,186,185,184,183,181,180,171,173,175,177,179,182,184,186,188,188,187,188,184,163,128,95,83,102,91,78,143,185,186,185,184,183,181,180,171,174,176,178,180,183,186,188,187,179,161,161,161,156,134,104,84,100,94,82,150,188,188,186,185,184,182,181,171,174,176,179,181,184,187,189,188,166,130,114,118,144,154,124,93,104,101,83,145,188,189,188,187,185,184,183,172,175,177,180,182,185,187,187,183,160,128,110,96,125,160,131,93,95,95,75,115,179,190,188,188,186,185,184,173,176,178,180,183,185,185,171,149,145,139,123,95,84,114,101,81,87,87,78,90,151,189,189,188,187,186,185,173,176,179,181,183,186,186,158,120,118,141,132,106,68,53,56,66,86,94,95,91,116,178,191,189,188,187,186,174,177,179,181,184,191,183,149,121,110,127,133,114,82,46,53,74,91,112,113,100,94,158,191,190,189,188,187,174,177,180,182,187,191,168,147,131,116,109,125,116,91,56,64,105,123,129,118,101,87,146,190,191,189,188,187,174,178,181,183,188,192,162,138,128,114,99,104,104,82,60,73,129,149,143,116,94,88,153,192,191,189,188,187,175,178,181,184,188,188,162,130,114,101,81,70,82,77,70,93,145,154,143,116,87,93,168,194,193,190,189,188,176,179,182,184,187,187,174,148,118,91,70,60,77,90,92,128,162,152,136,110,81,106,181,195,194,192,190,188,177,180,182,183,186,187,181,163,136,112,96,90,98,112,127,162,166,145,125,103,79,125,190,197,195,193,191,189,177,180,182,184,186,186,180,167,147,128,111,109,124,152,165,171,158,136,115,94,80,146,195,197,196,193,191,190,178,181,182,185,187,187,176,161,146,128,113,113,128,164,171,163,146,126,106,85,86,164,197,197,195,194,192,190,178,181,183,185,188,188,173,155,145,129,118,117,126,156,166,156,136,114,96,76,99,180,198,197,195,194,192,191,179,181,183,185,188,190,180,159,146,134,125,120,124,149,159,149,127,102,84,72,128,192,199,197,196,194,192,191,178,180,182,184,187,191,188,168,150,139,127,117,117,136,147,136,113,89,72,87,166,198,199,197,195,194,192,192,177,180,182,184,187,190,192,182,159,141,125,115,112,123,134,126,103,82,69,121,190,200,199,197,195,193,193,193,176,179,181,183,187,190,192,189,170,145,125,114,111,118,127,121,101,80,76,148,197,199,197,196,194,193,192,191
16,156,156,156,156,157,157,158,158,159,159,159,158,158,160,159,160,160,160,159,160,160,158,159,160,160,159,160,159,157,157,158,158,158,159,159,159,160,160,159,159,160,160,160,161,160,160,161,163,163,161,161,162,162,161,161,160,158,158,159,160,160,159,159,160,162,163,161,162,161,161,162,160,162,162,163,164,164,163,163,163,163,164,163,161,158,159,159,160,160,161,161,162,163,162,163,163,164,163,162,165,167,168,165,163,163,163,164,164,164,164,164,163,158,159,160,161,162,162,161,162,163,163,165,165,165,164,161,145,144,143,162,172,163,164,164,164,164,164,164,163,158,159,160,162,163,162,163,162,164,163,161,154,150,167,177,128,107,97,84,131,173,170,163,165,164,165,165,163,159,160,160,161,163,165,164,164,164,165,157,132,143,183,178,148,127,112,76,41,81,150,174,164,165,166,165,165,159,160,161,163,164,165,163,155,146,187,173,142,162,184,167,155,142,113,68,62,37,47,117,174,164,166,166,165,160,161,162,163,165,162,175,152,152,178,170,150,166,185,151,144,133,105,53,67,51,44,34,105,175,166,167,166,162,162,163,164,165,162,190,165,157,169,168,164,158,172,137,137,121,91,49,55,45,49,48,29,108,179,165,168,163,163,164,165,163,164,173,165,151,169,175,168,162,167,141,133,111,74,47,43,39,46,48,44,25,137,177,168,162,162,163,163,167,170,162,171,164,159,177,170,165,179,156,135,103,63,42,32,34,45,44,45,30,72,179,168,161,160,162,160,176,167,161,173,180,161,170,169,167,176,161,130,89,56,30,17,37,49,48,43,34,46,168,169,160,162,163,162,169,170,166,165,177,162,171,176,174,173,160,118,73,47,8,14,37,51,54,57,34,59,175,167,162,163,164,164,164,172,177,168,180,172,138,185,182,170,161,111,60,18,0,15,33,45,62,57,37,70,179,166,163,162,164,164,164,172,179,182,151,166,143,173,181,173,163,102,47,0,0,5,22,41,70,49,36,78,177,166,163,163,163,165,166,164,166,191,118,129,168,163,175,179,157,94,38,0,0,0,12,52,78,45,31,109,180,168,163,163,164,165,165,164,152,165,187,157,150,162,179,183,150,91,33,4,0,0,20,76,78,45,33,131,179,170,164,164,165,166,165,166,157,140,169,165,155,161,182,183,144,84,30,22,24,3,45,105,91,51,29,129,179,170,153,156,158,160,162,165,170,154,155,157,145,136,173,181,139,73,32,33,34,16,70,131,123,74,26,139,179,167,72,77,80,82,86,92,94,97,99,100,71,75,161,181,138,62,37,41,42,32,83,133,139,106,37,123,175,184,57,57,57,56,54,56,55,53,53,54,56,48,157,188,139,59,63,52,46,45,91,130,146,138,67,113,193,209,63,64,65,63,61,64,64,64,64,64,70,49,143,194,133,66,117,72,60,45,75,121,140,151,96,126,195,203,60,61,62,62,62,62,64,63,63,64,67,52,116,191,127,77,151,92,77,64,45,94,133,128,89,72,195,186,61,61,61,63,63,63,64,63,64,66,69,53,104,207,116,96,174,117,95,82,59,45,95,104,65,100,161,165,60,61,59,60,62,63,64,62,65,65,68,53,101,200,77,143,181,137,113,100,73,44,42,54,56,171,117,138,60,60,60,60,62,62,62,62,65,64,65,61,75,100,126,187,177,149,126,111,83,51,41,35,49,194,159,118,59,61,59,62,62,60,61,64,65,64,64,66,59,65,179,188,181,156,133,119,94,57,42,38,52,199,190,161
7,204,203,204,203,203,203,203,203,203,202,201,199,198,198,197,196,194,192,191,190,189,189,187,186,184,181,179,178,206,206,206,205,206,206,206,205,205,204,204,202,201,200,198,198,196,196,194,192,192,190,189,187,186,184,180,182,207,208,208,207,208,209,208,207,206,205,204,203,202,202,202,201,199,198,196,194,193,192,190,189,187,185,183,182,208,208,208,209,209,210,209,209,208,206,205,204,205,204,203,202,202,200,198,197,196,194,192,191,190,187,184,184,210,210,210,211,211,212,211,210,209,208,208,208,207,204,204,203,202,201,201,199,197,196,193,192,191,189,187,185,212,211,211,211,211,213,212,211,210,209,210,210,208,207,207,205,203,203,201,200,198,198,197,195,192,191,189,187,213,213,212,214,213,213,214,214,212,211,210,210,209,208,208,207,205,204,203,202,199,198,197,195,193,192,190,189,214,214,214,215,214,213,214,215,214,212,211,210,209,209,208,207,207,205,205,203,202,202,200,199,196,193,191,190,215,215,215,215,215,215,215,215,214,213,213,211,213,213,213,212,209,210,207,204,201,196,194,191,194,196,192,192,216,216,216,216,217,216,216,218,220,217,213,212,207,200,191,182,174,159,156,159,161,141,145,173,166,189,196,193,217,217,217,217,216,218,217,204,183,167,161,156,157,151,143,140,143,122,129,134,130,128,135,165,142,181,199,195,218,218,217,219,221,211,191,173,156,129,134,141,141,144,142,143,123,119,113,112,111,115,101,118,155,195,202,196,219,218,220,219,197,181,179,174,155,124,119,119,118,122,125,128,126,134,128,106,112,109,104,108,114,121,172,200,218,223,212,181,171,174,175,166,157,145,133,132,134,141,145,144,146,140,132,98,105,110,99,95,86,103,128,202,224,206,175,172,172,173,165,165,167,157,144,141,140,148,139,135,131,123,108,86,85,87,85,87,86,96,154,202,201,178,177,176,174,170,169,175,164,145,109,102,114,117,108,104,110,111,114,129,151,165,176,179,183,188,199,197,174,182,183,177,174,175,173,157,147,124,86,90,94,78,145,192,192,205,212,215,216,214,213,212,206,203,203,205,177,182,180,177,176,170,153,141,140,118,98,81,77,78,84,188,225,214,212,209,207,206,205,201,202,206,188,162,176,176,180,182,175,158,144,134,133,141,139,95,74,82,60,140,225,211,214,210,207,206,209,211,200,140,98,87,174,178,183,177,160,138,131,128,130,143,129,86,76,70,94,208,216,213,212,215,217,211,192,152,109,79,74,80,176,178,174,157,139,129,126,121,119,122,96,76,61,84,205,221,216,217,220,199,167,131,97,78,75,80,71,76,174,166,149,140,138,133,131,120,103,100,94,82,64,102,233,209,204,203,172,112,85,76,79,80,80,81,69,69,156,145,142,139,131,122,109,97,91,104,108,83,65,136,158,105,100,97,84,80,91,78,71,77,78,80,67,63,147,145,140,123,108,101,96,97,102,109,92,76,90,102,68,68,76,66,79,70,74,79,57,68,76,78,66,62,145,139,126,113,109,107,101,96,93,85,82,94,92,87,79,58,76,65,69,65,67,69,54,62,73,76,61,64,131,116,109,110,108,103,93,86,88,90,92,86,79,73,75,57,62,66,59,62,65,60,51,58,72,72,57,64,95,83,89,92,94,94,99,104,88,89,81,76,69,73,68,62,50,64,55,58,63,54,52,58,70,69,54,64,77,111,124,122,120,124,125,105,78,69,76,75,64,68,63,63,46,55,56,56,63,52,53,60,69,67,52,68
14,134,138,142,145,148,151,152,155,157,159,161,162,165,165,166,167,168,170,171,172,173,173,174,175,175,175,176,176,136,139,143,146,149,152,154,156,158,159,162,164,166,167,167,168,171,171,172,174,174,174,175,176,176,176,176,177,137,140,144,148,150,152,155,157,159,159,162,164,165,167,149,146,158,163,172,174,176,176,176,176,176,176,178,178,138,141,145,149,151,153,156,159,160,161,167,169,167,156,116,108,143,153,162,147,158,179,178,177,177,177,179,179,138,141,145,149,151,155,157,159,164,176,176,158,139,123,106,100,132,150,142,107,129,180,179,180,180,180,180,180,139,143,146,150,153,155,157,165,186,185,156,110,89,92,101,101,115,123,118,94,98,167,180,181,182,182,181,181,140,143,148,152,154,156,160,191,188,158,121,82,63,69,87,99,120,120,124,126,114,142,172,182,183,183,182,182,141,144,148,152,155,156,169,198,156,109,80,79,73,86,93,76,92,110,119,138,143,126,137,183,183,183,183,183,142,146,150,153,156,157,187,186,129,80,69,77,76,98,93,80,97,108,121,119,120,100,107,176,184,184,184,184,143,147,151,153,155,163,199,167,114,71,66,67,70,83,78,97,109,89,122,136,131,118,110,135,181,185,185,185,143,147,150,153,155,178,194,145,92,67,72,78,76,70,74,100,104,104,167,183,173,145,125,112,147,177,186,185,144,149,151,155,159,193,175,126,92,83,79,83,82,82,85,82,103,158,184,184,185,180,154,141,123,169,188,187,144,149,152,155,172,202,168,127,104,86,79,81,82,89,91,83,144,185,184,184,187,173,158,142,121,181,187,187,144,149,153,156,192,201,162,123,97,81,77,77,81,88,86,106,177,184,185,186,185,163,157,121,140,189,188,188,144,149,153,156,198,191,154,120,88,76,75,78,84,84,78,121,185,184,186,187,179,156,150,107,142,191,189,189,145,150,154,159,202,187,146,108,80,75,77,81,86,78,75,109,177,186,187,182,153,150,145,108,131,191,189,189,146,151,154,165,206,179,144,110,83,77,80,85,89,89,94,105,138,171,176,163,158,157,141,108,141,191,189,189,146,151,153,175,207,176,142,108,85,76,79,89,94,103,116,124,121,122,143,159,166,157,129,132,180,190,189,189,147,151,153,185,204,173,141,108,87,78,81,90,101,114,127,135,136,130,155,163,158,138,137,181,191,190,190,190,147,151,153,193,198,171,141,113,92,80,83,95,114,128,139,141,140,138,151,153,132,136,181,193,192,192,191,190,146,151,155,199,192,168,141,116,97,83,84,103,129,142,149,149,141,137,131,126,126,178,192,192,192,192,191,191,147,151,159,199,185,164,140,121,100,85,85,112,142,148,149,149,144,131,107,116,171,190,191,192,192,192,192,192,147,152,164,196,178,159,142,125,104,88,88,119,148,147,146,145,141,116,120,172,191,191,192,193,193,193,193,192,148,151,170,193,173,160,148,128,109,94,91,118,147,145,133,136,123,121,176,192,191,192,193,193,193,193,193,192,148,151,179,195,175,166,151,129,112,99,90,110,137,133,123,121,117,168,192,192,192,192,193,193,193,193,193,193,147,152,193,196,179,170,150,128,111,98,89,102,121,117,119,109,158,190,191,192,192,192,193,194,194,194,194,194,148,159,203,193,183,168,139,120,105,92,90,100,105,104,121,156,189,189,191,193,193,194,194,194,194,194,194,194,146,172,203,186,179,158,125,110,98,90,95,96,92,108,160,188,190,189,191,193,194,195,194,194,194,194,194,194
16,149,151,151,154,159,163,166,169,172,175,176,178,181,182,182,184,185,186,189,187,188,189,189,189,188,187,187,188,149,151,152,154,159,164,167,169,173,174,175,178,181,183,186,188,190,190,192,194,193,191,188,189,191,190,189,189,149,151,152,154,159,165,168,171,173,175,177,182,183,180,172,164,158,154,153,159,168,185,196,193,189,190,190,190,151,152,152,156,160,166,169,172,174,173,171,165,154,145,133,120,109,106,106,96,87,93,133,173,196,189,191,192,151,151,152,156,161,164,168,166,175,148,145,135,130,132,126,117,109,96,94,96,83,64,62,70,130,196,192,191,150,151,153,159,161,169,181,182,193,156,146,131,123,129,122,114,108,101,88,91,92,73,69,66,55,133,201,190,151,152,154,160,159,175,198,195,193,167,148,126,114,117,116,114,105,105,93,88,86,75,73,70,73,61,169,199,150,151,155,159,160,168,189,197,194,162,143,113,105,105,105,110,105,100,99,90,86,79,74,69,76,61,95,206,151,152,154,159,159,175,188,203,192,160,125,102,88,94,96,103,104,99,105,100,83,80,83,73,65,76,56,167,151,153,155,159,159,176,192,205,184,150,102,86,66,80,98,107,113,108,111,108,86,79,87,70,68,79,60,94,151,153,156,159,163,169,194,204,175,128,89,84,51,34,99,111,129,126,126,114,90,83,90,70,70,77,76,52,152,153,155,160,164,163,195,199,160,114,80,70,33,3,71,105,127,152,150,128,91,85,92,71,71,77,81,67,152,153,154,159,164,165,190,188,143,107,73,60,51,30,58,85,132,163,151,128,90,87,82,71,72,74,78,78,151,152,155,160,163,167,181,169,126,100,64,68,67,65,70,59,152,157,133,120,97,88,74,73,74,75,77,81,148,150,153,157,160,165,174,156,109,77,54,75,72,66,57,76,165,141,127,116,95,75,74,74,74,78,79,81,148,150,153,157,161,168,185,149,90,76,44,62,68,88,128,158,155,126,123,105,76,66,73,76,75,78,77,78,151,151,154,159,161,169,185,142,84,107,93,112,156,188,188,165,131,120,112,85,63,68,73,78,79,79,78,76,150,151,154,159,162,170,192,139,73,157,189,188,191,190,176,153,113,102,93,87,67,69,74,77,82,81,80,79,149,151,155,160,161,171,186,125,78,176,184,184,187,188,179,138,105,77,105,108,75,74,75,77,82,80,82,81,147,150,154,158,160,171,180,98,96,188,183,184,186,189,181,137,91,84,155,127,94,83,77,78,80,80,82,83,148,151,154,157,159,172,171,79,118,188,181,184,186,188,184,147,66,122,191,140,112,91,82,78,80,82,83,85,145,147,151,158,156,183,162,68,147,185,181,183,187,190,182,157,74,145,205,151,128,104,90,82,81,81,81,84,145,149,153,155,148,198,130,77,165,172,175,177,177,180,172,155,99,125,198,154,140,117,101,89,84,84,84,87,102,102,105,107,101,134,94,81,106,105,107,110,112,112,112,112,100,96,110,111,146,128,112,101,95,89,86,88,93,92,92,95,93,92,93,91,92,94,93,93,95,92,93,94,92,91,88,86,132,139,123,110,101,95,90,88,97,98,99,99,100,100,99,98,100,102,104,101,100,101,101,100,101,99,100,91,117,151,130,117,108,102,96,93,97,98,98,98,100,99,97,99,100,100,100,99,98,100,99,98,104,108,107,101,105,152,141,124,115,110,103,98,99,99,98,98,99,98,98,100,99,99,99,98,98,100,99,98,99,98,99,100,96,148,151,137,126,118,106,100
7,193,194,197,198,200,202,203,204,204,205,205,206,206,207,207,206,206,206,206,205,206,205,204,202,201,200,198,197,195,196,198,200,202,203,205,206,206,206,207,207,208,208,208,208,207,207,207,207,207,207,206,205,203,201,200,199,197,199,200,202,203,205,206,208,208,208,209,209,209,209,209,209,209,209,209,208,208,209,208,207,206,204,202,201,198,200,201,203,205,207,207,209,210,210,210,211,211,211,211,212,212,211,211,211,210,210,210,209,207,206,204,203,199,201,203,205,206,208,209,211,212,212,212,213,213,214,214,214,214,213,213,213,213,212,212,210,209,207,206,206,201,202,205,207,208,210,212,212,213,214,214,215,215,215,215,215,215,215,215,215,215,214,213,212,210,209,208,207,202,205,207,209,211,212,213,214,215,215,216,216,217,217,216,216,216,217,217,217,216,216,214,213,212,212,211,209,204,207,209,211,212,214,214,216,217,217,218,218,218,218,219,219,219,219,219,219,218,217,216,215,214,214,212,211,206,208,210,212,214,215,216,218,219,219,219,220,219,220,220,221,221,221,221,220,219,218,217,216,216,215,214,213,207,209,211,214,216,217,218,220,223,221,213,212,216,219,219,220,220,221,221,220,219,218,216,219,219,216,216,215,208,211,213,215,217,220,223,227,231,225,203,189,198,209,211,211,212,213,212,212,210,211,209,222,217,214,217,216,209,212,216,220,224,228,230,231,231,227,208,178,176,190,199,201,200,197,196,197,197,198,194,198,196,210,218,217,214,219,225,230,231,230,227,223,219,217,203,175,163,171,182,191,194,194,190,187,189,189,184,187,188,205,214,214,229,232,232,231,227,223,217,210,209,215,209,179,158,155,160,168,173,175,175,178,182,183,181,187,188,193,198,206,238,233,228,222,215,211,208,207,211,216,208,180,160,159,161,160,153,149,166,181,182,181,180,182,186,189,197,212,236,230,222,212,205,202,201,202,207,211,198,171,153,154,164,167,160,152,177,216,219,216,215,215,216,217,220,223,233,228,220,211,203,201,201,199,201,208,201,173,149,147,155,159,157,152,179,225,230,230,229,228,227,227,226,226,229,226,221,214,208,205,205,204,204,211,207,181,161,161,162,158,152,154,202,231,232,231,230,230,229,228,228,227,222,219,217,215,212,209,206,204,204,205,200,180,165,167,166,161,155,181,225,233,232,231,231,231,230,230,229,228,200,201,206,212,213,209,203,198,195,189,177,163,146,142,148,152,158,208,232,234,233,232,231,231,231,230,228,223,138,146,166,189,200,198,189,182,177,173,170,160,124,113,128,147,177,225,235,235,234,233,232,232,230,228,216,184,76,79,93,117,144,161,173,180,187,201,213,210,163,137,154,178,213,234,236,236,235,235,233,227,211,193,167,135,61,58,58,62,73,116,193,219,227,232,234,234,216,202,213,226,235,237,237,237,236,233,218,187,154,135,119,106,55,52,50,49,50,115,218,233,235,235,236,237,236,235,236,237,237,237,237,237,234,207,159,125,117,113,104,97,50,48,46,44,43,112,220,234,235,236,236,237,237,237,237,238,238,237,237,235,216,163,115,91,94,98,94,92,50,49,47,43,37,100,203,217,219,221,223,224,225,226,226,228,228,229,228,208,160,130,106,81,77,86,86,84,56,55,49,38,29,75,148,160,161,164,166,168,171,173,174,175,176,178,180,156,111,112,102,75,67,74,78,77,63,58,45,29,27,64,121,130,129,131,132,133,134,135,137,136,137,141,148,129,95,103,98,71,63,68,72,73
7,192,194,196,198,200,201,202,204,204,204,205,205,206,207,207,206,205,206,206,205,205,205,203,202,201,200,197,197,195,196,198,200,202,203,205,207,207,206,207,207,208,208,208,208,207,207,207,207,207,208,206,205,203,201,200,199,197,199,200,201,203,205,206,208,208,208,209,209,209,208,208,209,209,209,209,208,208,209,208,207,206,204,202,201,197,200,201,203,205,207,207,208,210,210,210,211,211,211,211,212,211,212,211,211,210,210,210,209,208,206,204,203,199,201,203,205,206,208,209,210,212,212,212,213,213,214,214,214,214,214,213,213,213,212,212,210,209,207,206,206,200,202,205,207,208,210,212,212,213,214,214,215,215,216,215,215,215,215,215,215,215,214,213,211,210,209,208,207,202,205,208,209,211,212,213,214,215,215,216,216,217,217,216,216,216,217,217,217,217,216,214,214,212,212,211,209,204,207,209,211,213,214,214,216,217,217,218,218,217,219,219,218,219,219,219,219,218,217,216,215,214,214,212,211,207,208,210,212,214,215,216,218,219,219,220,220,219,220,220,221,221,221,221,220,220,218,217,217,216,215,214,213,207,209,211,214,216,217,218,219,222,222,213,215,219,220,220,221,221,222,222,222,220,219,216,219,219,216,216,214,208,211,213,215,216,219,222,228,233,227,199,184,199,211,212,211,213,215,212,214,210,214,206,230,220,213,217,216,209,212,214,219,224,229,231,232,233,230,212,174,174,191,200,201,199,194,194,197,196,200,191,198,189,213,219,217,212,218,226,232,233,231,228,224,219,217,204,171,160,171,185,194,196,196,191,186,189,189,181,187,184,206,216,215,230,234,233,233,228,223,217,208,206,215,213,178,155,151,156,165,174,178,174,179,183,184,182,190,188,195,195,205,240,234,229,222,215,211,207,207,211,219,213,180,158,160,162,158,149,140,164,176,176,175,172,175,181,183,192,216,237,230,221,211,204,200,201,201,208,213,197,169,151,155,167,171,162,150,177,226,224,220,219,220,219,221,224,225,233,228,220,210,202,200,200,197,199,209,204,172,143,141,153,157,158,150,171,231,231,230,229,228,228,227,227,225,230,227,222,214,207,205,205,204,204,214,212,180,159,163,163,157,152,141,208,234,232,232,230,230,229,228,228,226,223,220,218,216,213,209,206,204,204,207,204,181,166,171,169,163,153,178,233,234,232,231,231,231,230,230,229,228,205,205,209,214,215,210,204,199,197,190,176,164,145,143,149,154,147,216,233,234,234,232,231,231,231,230,229,228,136,148,171,197,207,200,191,182,174,166,162,156,112,103,122,144,169,232,235,235,234,233,231,232,232,232,224,178,69,71,85,114,149,166,167,173,182,201,219,223,157,127,147,173,219,236,236,236,235,235,234,233,217,198,169,127,61,57,55,57,63,100,202,225,232,235,236,237,222,204,220,232,237,237,237,237,236,237,228,191,147,129,114,102,55,52,50,48,43,110,234,234,235,235,236,237,237,237,237,237,237,237,236,237,237,213,153,118,117,113,104,96,50,48,45,43,37,103,235,235,236,236,237,237,238,237,238,238,238,237,237,239,229,158,109,85,95,99,94,91,49,48,47,45,30,95,223,223,226,228,229,230,232,232,233,234,235,235,236,217,154,129,107,78,74,88,86,84,56,55,50,38,23,67,152,155,156,160,162,164,167,170,170,173,174,174,180,155,100,114,104,72,65,74,78,77,64,59,45,26,23,59,125,126,125,127,128,129,129,130,132,131,131,135,147,129,85,106,99,68,61,68,71,73
14,167,166,166,166,166,167,168,168,168,168,169,167,168,167,168,168,168,169,167,168,168,167,166,167,166,166,166,133,169,169,169,169,169,169,170,171,172,171,172,171,170,170,170,171,171,172,170,170,170,169,168,169,168,167,169,118,171,171,171,170,172,172,172,173,172,173,171,172,172,173,172,174,175,173,173,173,173,171,170,170,170,171,170,146,174,173,173,174,175,174,174,174,178,181,172,163,175,173,160,158,172,176,177,176,175,175,174,174,172,172,172,163,177,177,177,178,178,177,176,186,197,167,161,159,163,151,125,139,154,160,165,180,177,179,179,177,175,174,175,171,180,180,179,181,180,186,197,192,172,114,92,111,123,119,87,81,135,124,102,180,181,181,180,179,177,177,177,175,182,181,182,183,179,199,205,139,105,80,47,60,77,83,65,61,90,92,69,161,187,183,177,180,179,179,179,178,184,183,183,185,179,208,199,128,65,52,45,42,48,56,58,52,62,70,85,100,158,158,135,144,182,180,181,181,186,185,186,187,180,214,195,138,80,55,52,49,47,46,54,51,53,86,123,98,83,149,131,133,187,183,183,182,189,187,188,188,182,215,182,119,64,48,51,60,57,48,55,60,59,72,89,67,126,166,105,154,190,186,186,185,189,188,189,188,192,215,181,138,95,60,47,57,50,61,55,78,127,160,142,112,171,158,94,165,191,188,187,187,190,191,192,189,200,218,187,151,115,83,68,51,54,79,66,125,200,195,197,177,179,156,92,160,193,190,189,188,194,194,194,189,207,224,196,156,106,81,72,66,67,69,69,164,198,194,194,168,175,147,94,147,196,191,190,189,194,194,195,191,210,229,202,157,100,74,67,65,79,70,89,197,196,196,186,173,175,142,93,127,199,193,191,191,194,195,196,194,211,229,204,169,120,80,60,62,75,69,119,206,196,197,177,187,179,136,82,153,199,194,194,192,195,196,198,193,209,232,207,173,134,91,61,59,69,58,136,195,199,188,168,189,178,118,103,197,197,196,196,194,198,199,201,192,203,230,209,180,143,97,68,62,59,59,98,121,160,159,168,179,159,98,160,203,197,198,196,195,200,200,200,192,203,229,211,182,151,111,77,49,62,74,93,119,137,146,161,163,130,106,197,201,201,201,199,198,200,200,201,194,204,229,215,185,156,123,90,51,68,81,110,136,148,144,140,136,100,148,206,203,203,202,201,199,201,201,202,193,202,227,216,190,161,128,97,63,68,93,129,149,153,134,120,104,87,191,204,204,203,203,202,201,203,201,202,193,196,226,215,193,164,133,101,78,66,93,131,151,150,130,101,87,113,209,203,202,203,204,204,203,203,202,204,196,193,223,214,196,168,139,105,87,69,85,128,149,144,117,92,88,179,208,205,205,203,204,204,203,205,205,204,195,197,220,213,197,172,146,113,95,81,81,133,147,134,106,79,134,214,207,206,206,205,205,204,203,207,207,207,193,202,224,212,196,178,153,114,101,94,78,130,131,119,97,74,179,213,208,208,207,206,206,206,206,207,208,210,194,208,227,211,197,184,156,118,102,96,80,111,117,111,88,96,210,212,209,208,208,207,206,207,206,208,208,209,195,219,224,214,207,184,157,118,101,93,83,97,104,100,76,155,217,212,211,209,208,208,207,207,206,208,208,205,193,226,226,215,202,176,143,112,97,89,84,91,93,86,110,209,215,211,211,210,209,208,208,208,207,210,209,199,195,222,223,212,188,157,127,103,90,85,88,90,90,87,184,218,213,213,212,212,210,210,210,209,208
2,58,69,83,108,118,127,136,141,142,147,152,156,159,164,166,168,171,172,173,176,176,177,178,178,178,179,179,178,60,70,87,109,120,129,137,142,145,148,152,156,162,167,167,170,174,174,174,178,179,180,181,180,180,182,181,181,61,72,90,111,122,131,140,144,146,152,151,160,159,149,164,169,171,175,179,184,181,182,183,184,183,184,183,182,62,73,94,114,125,133,142,145,147,152,161,204,189,163,160,151,153,171,165,164,183,185,185,186,185,184,184,185,66,75,99,116,126,133,140,147,155,141,178,205,198,210,208,178,142,127,144,118,121,183,190,185,186,185,185,186,67,77,101,117,128,136,135,193,201,185,188,175,156,152,172,201,172,110,76,120,161,139,175,190,187,188,187,188,66,78,103,117,130,130,164,226,192,198,208,207,190,144,97,105,171,147,87,84,145,86,138,199,186,189,190,189,68,81,105,119,131,132,204,172,145,157,168,157,171,183,138,131,117,149,161,133,74,110,180,189,188,191,191,190,70,84,107,122,127,149,189,183,183,172,149,131,164,159,166,174,122,76,142,137,78,179,194,189,190,192,193,192,72,84,111,122,136,199,200,203,191,182,175,168,173,106,75,107,80,103,109,93,124,192,190,191,190,194,194,192,73,87,114,117,193,207,171,155,130,100,108,111,93,73,54,64,156,192,184,177,194,191,193,195,193,193,195,194,72,91,109,140,224,163,110,82,55,50,52,52,64,62,52,75,194,187,192,196,193,197,198,190,191,200,195,195,73,94,103,191,197,130,88,51,38,53,50,48,60,59,46,64,189,190,190,192,201,172,132,119,114,154,199,194,77,88,143,228,148,97,64,50,48,48,47,56,55,47,41,46,183,194,193,201,146,99,112,123,124,91,182,201,81,84,193,207,126,92,74,63,46,43,50,53,48,47,54,34,149,204,201,155,100,131,144,143,116,96,191,201,80,90,201,181,118,90,73,52,38,43,49,55,54,55,56,48,75,201,191,100,133,148,140,113,117,180,205,200,79,97,201,172,119,84,56,42,40,42,51,62,62,63,68,75,61,77,130,112,139,137,96,133,205,206,201,202,80,101,205,169,114,73,52,48,41,45,59,65,72,79,88,96,95,47,95,135,124,91,82,200,207,202,204,203,79,106,206,168,125,89,64,51,41,48,61,77,90,98,106,108,111,79,113,129,106,65,135,216,202,206,205,204,79,114,201,158,127,91,72,60,45,47,63,90,108,111,117,121,124,95,105,128,97,76,188,212,207,207,207,206,81,113,195,154,127,96,81,72,52,49,70,106,119,124,129,135,127,107,91,128,84,88,212,207,208,208,209,209,84,110,186,153,127,108,92,75,55,49,77,114,126,131,132,136,123,101,91,86,84,170,216,209,213,213,212,210,86,108,176,149,129,113,93,75,59,52,81,113,119,124,123,122,111,93,73,120,196,217,212,214,214,214,213,212,89,102,167,154,129,111,90,73,62,62,89,106,108,107,110,110,97,68,127,221,213,209,213,213,213,214,213,212,89,100,164,160,130,108,86,77,71,71,98,100,102,102,102,93,70,112,205,207,205,208,212,212,212,213,214,212,88,102,179,161,127,106,94,88,80,74,94,92,91,88,72,86,144,206,208,208,210,211,212,213,213,215,212,210,82,155,180,170,132,110,102,92,82,68,69,71,69,75,134,187,210,205,207,209,210,212,212,213,215,211,214,223,110,195,131,161,141,108,92,82,70,61,60,60,47,88,208,200,200,205,207,208,210,211,212,214,213,216,215,219
14,136,140,143,146,149,151,152,154,157,157,157,159,160,161,161,161,162,161,161,161,160,160,160,159,159,158,158,157,136,140,144,147,150,152,153,155,157,156,158,160,161,162,162,162,162,162,162,162,161,161,161,160,160,159,159,158,137,141,145,148,152,152,154,156,158,158,160,161,162,162,163,165,164,163,163,162,162,162,161,161,161,160,160,159,138,143,147,149,152,153,155,158,159,160,162,162,163,164,164,166,165,164,164,163,163,163,162,162,162,162,161,160,139,143,148,150,152,155,156,159,160,161,162,164,164,164,169,163,165,165,163,166,166,163,163,163,163,162,162,161,140,143,147,151,153,156,156,160,161,162,163,166,161,188,201,186,188,180,159,148,157,168,162,163,164,163,162,161,139,145,149,152,155,155,157,161,162,162,164,163,170,203,200,200,189,177,167,155,146,146,165,166,162,163,163,162,141,147,150,153,155,157,160,161,163,163,166,161,194,207,184,166,149,130,133,146,140,97,108,162,166,164,164,164,141,147,151,154,156,158,160,162,164,167,166,169,210,200,152,104,95,95,97,111,109,103,95,105,167,166,165,164,143,147,150,154,157,160,161,163,164,168,161,189,212,185,128,81,88,95,83,89,106,127,114,79,123,172,166,166,144,148,152,155,157,160,162,163,166,167,163,212,201,151,92,71,93,98,86,92,96,98,103,118,100,137,170,165,145,150,153,156,159,161,162,163,167,163,183,217,165,110,74,74,73,79,95,93,99,100,111,125,121,129,134,168,146,150,153,157,160,162,163,166,167,168,215,206,152,111,92,89,83,75,96,100,138,126,120,111,153,135,123,172,146,151,155,158,161,162,164,168,163,188,227,195,147,113,101,93,92,95,85,140,179,175,169,154,166,112,128,175,148,152,156,159,162,164,165,169,163,202,227,188,141,109,101,91,92,95,110,176,174,173,173,159,162,111,127,176,148,152,156,160,162,165,168,169,165,208,224,185,134,102,92,86,93,90,141,180,173,176,169,154,156,114,114,174,148,153,157,160,163,165,168,168,166,217,219,185,142,104,87,86,85,73,153,186,173,179,157,147,148,122,112,169,149,154,158,161,164,165,167,167,172,225,214,184,142,105,87,78,78,75,91,154,183,174,144,150,139,118,134,174,149,152,157,160,164,166,170,166,183,227,209,180,143,107,82,74,85,95,91,94,123,131,150,159,139,118,167,174,150,153,157,160,164,167,171,165,197,227,206,176,144,108,82,73,84,92,96,108,106,120,154,148,120,145,178,172,149,154,158,161,165,168,171,166,209,223,200,172,147,112,85,78,86,92,106,124,127,125,145,127,130,177,174,173,147,152,158,161,164,167,169,168,215,217,192,169,158,114,90,91,100,108,124,131,124,120,124,114,163,178,174,174,148,154,159,162,165,168,168,171,216,209,184,180,161,108,102,95,110,122,133,126,119,115,107,138,179,174,175,174,149,155,159,163,166,168,167,174,213,202,187,190,159,121,112,95,113,129,133,122,114,108,145,179,177,178,177,175,149,155,160,162,165,169,168,177,211,203,195,194,166,134,114,98,109,126,127,118,107,123,183,178,178,178,177,176,149,155,160,163,166,169,168,182,217,210,203,197,169,135,115,103,105,121,119,114,106,159,182,178,179,178,177,174,149,154,159,162,165,169,166,186,219,210,208,190,158,129,115,107,107,114,113,106,141,182,179,179,179,178,176,174,148,151,156,160,163,167,164,190,216,209,203,172,143,122,114,110,112,112,110,139,181,179,179,179,178,177,175,173
5,114,119,122,125,127,130,132,133,134,137,138,139,139,143,143,145,146,147,149,149,150,151,152,151,152,152,153,153,115,120,123,126,128,131,132,134,136,138,139,140,143,144,145,145,146,149,150,150,152,152,152,152,152,153,154,153,116,120,124,127,129,132,134,135,136,139,141,141,122,143,146,146,148,150,151,151,145,152,152,154,154,154,154,154,117,121,125,127,130,133,132,138,139,139,141,153,99,132,149,147,150,151,150,158,117,134,156,153,154,154,155,154,118,123,126,128,131,135,146,115,135,142,142,158,101,127,152,148,150,150,152,161,102,128,160,153,155,156,156,155,119,123,126,129,134,130,162,123,111,146,144,164,109,129,153,149,151,151,160,132,93,152,157,157,158,157,157,156,120,124,127,131,134,131,150,146,101,144,147,163,114,127,154,149,151,159,157,97,117,163,156,159,159,158,157,157,121,126,128,132,136,135,144,171,117,133,154,151,100,126,156,150,153,159,130,98,155,159,158,159,159,159,158,159,121,126,129,132,137,137,139,183,137,117,156,141,106,124,157,148,147,129,91,131,163,157,158,159,161,160,160,159,123,128,130,134,137,138,136,173,161,110,150,137,119,120,155,142,139,89,109,163,159,160,160,161,162,162,161,161,123,128,132,135,138,139,138,154,180,147,129,126,120,110,136,138,128,92,153,160,159,160,160,162,162,162,162,162,124,128,132,135,138,139,141,143,175,177,140,105,113,96,106,129,106,116,164,160,162,163,162,162,163,163,163,161,124,128,132,135,138,138,141,142,158,186,163,123,97,93,96,101,93,146,163,162,162,160,162,164,164,165,164,164,124,129,132,136,138,139,141,144,145,182,170,133,98,86,89,87,96,162,157,154,151,150,154,157,155,154,159,157,125,129,134,137,139,140,143,145,143,176,174,132,97,83,82,85,96,128,145,146,139,151,164,159,154,153,145,118,126,130,134,137,140,141,144,146,145,185,172,135,103,80,79,83,99,108,127,129,106,108,125,120,123,140,130,98,126,131,134,137,140,141,145,144,153,194,163,131,102,82,79,84,96,100,93,97,107,138,142,142,143,148,120,111,125,130,135,139,140,141,145,141,169,193,154,127,99,82,80,83,85,89,116,143,163,171,168,153,152,121,113,161,126,130,135,138,141,143,146,143,184,184,149,123,95,81,82,86,74,123,170,172,167,157,141,143,136,99,164,169,126,131,135,138,140,143,144,153,195,178,145,112,94,79,80,89,99,119,124,145,144,140,149,146,106,120,174,164,127,131,135,139,140,144,141,169,194,169,136,112,97,78,82,96,113,123,120,116,137,146,141,117,115,160,169,166,127,131,136,139,140,143,143,186,188,160,129,118,100,76,91,117,130,134,126,122,138,121,113,141,170,171,168,168,127,132,137,139,141,140,156,194,183,156,130,121,101,77,99,130,132,134,130,110,101,120,160,173,168,168,168,167,128,132,136,139,142,139,178,191,175,153,131,117,101,79,107,135,125,132,118,92,129,169,169,167,168,168,168,167,128,132,136,141,137,155,192,179,170,150,119,107,93,80,114,130,120,119,106,148,172,167,168,169,168,169,169,167,128,133,137,140,138,178,184,169,161,139,107,101,86,89,111,115,115,106,154,171,166,168,169,168,168,169,169,168,128,133,138,137,159,181,171,163,160,138,97,94,88,94,97,103,118,153,170,166,168,169,168,169,169,169,169,169,129,133,137,139,183,173,166,157,166,133,87,96,98,88,89,127,165,168,167,168,168,168,168,170,170,169,169,169
3,99,27,58,89,110,119,130,141,149,155,160,164,167,170,172,175,177,179,182,183,169,188,190,193,196,196,196,197,91,23,64,92,111,120,131,143,150,155,161,165,168,170,172,177,179,181,184,198,131,164,197,194,195,196,197,200,78,25,70,94,113,123,133,145,152,158,162,166,169,171,175,178,181,181,189,210,134,146,202,193,195,197,199,200,66,29,76,97,114,124,135,147,152,159,165,169,170,173,176,178,183,182,194,207,125,150,201,193,196,198,199,201,55,33,78,100,115,125,137,149,153,160,165,169,171,175,177,179,187,184,200,207,125,159,202,195,199,200,201,203,43,40,82,103,117,127,140,150,155,162,167,169,173,178,182,183,171,175,210,190,123,158,203,198,201,202,203,205,32,48,85,106,119,129,141,152,158,163,168,170,172,161,195,222,181,140,195,165,117,161,207,199,203,203,204,205,26,56,88,108,120,131,142,153,158,165,162,199,223,177,151,193,204,130,161,162,105,177,207,202,204,204,206,207,23,62,92,111,121,133,144,154,159,163,171,191,209,218,162,137,200,165,176,150,110,195,204,204,205,206,207,209,26,68,93,114,124,135,147,155,155,186,234,197,132,162,184,115,184,187,178,142,106,198,204,204,206,209,209,210,29,73,95,115,125,136,148,157,155,198,209,197,170,129,178,156,100,101,177,159,121,150,211,205,208,209,210,211,34,76,99,115,126,136,149,157,156,205,184,132,176,162,143,180,101,90,163,197,179,114,184,212,209,210,211,213,41,79,102,117,127,137,150,156,160,214,170,102,114,116,121,124,124,126,133,196,182,117,181,215,208,211,212,213,45,82,103,118,129,138,151,154,165,211,169,156,136,104,121,123,146,139,145,203,177,116,198,213,211,212,214,213,50,86,105,118,130,139,152,153,176,220,191,160,127,109,129,148,166,142,164,225,175,124,211,212,213,214,216,217,57,89,107,119,130,141,152,151,179,222,174,138,115,118,137,166,171,167,198,223,159,132,216,211,213,214,217,218,63,91,108,120,131,143,153,152,182,218,172,142,123,127,145,175,180,211,218,212,148,132,218,211,214,215,216,218,68,92,110,121,132,144,154,152,181,224,187,151,132,127,149,179,208,234,210,185,143,136,221,211,216,217,217,218,71,93,112,122,133,144,153,154,179,225,191,164,137,137,150,195,232,230,207,164,119,156,222,212,216,218,218,219,75,94,113,124,133,145,153,156,177,227,203,173,143,143,157,213,230,221,203,158,102,170,220,212,216,218,218,218,78,97,113,124,134,144,152,158,170,218,201,174,161,151,164,223,229,212,194,150,98,187,219,213,216,219,219,219,81,98,113,123,134,146,152,158,165,201,202,184,179,163,169,217,222,203,185,137,103,205,216,216,216,219,219,220,83,100,114,124,134,147,152,159,163,187,207,195,187,177,164,201,206,186,170,126,122,219,214,216,217,218,219,220,84,101,116,125,135,148,154,159,163,184,211,200,190,173,160,181,189,174,170,109,154,224,213,216,217,218,221,220,85,103,115,125,135,148,154,160,162,188,224,200,184,162,155,171,172,170,164,111,193,218,214,217,218,219,221,221,86,104,115,125,136,148,153,160,162,196,230,196,184,164,159,174,164,172,136,132,219,212,215,217,218,219,221,221,87,105,116,126,137,147,153,161,161,209,229,207,193,168,174,183,164,159,115,168,219,211,215,217,218,219,220,221,87,106,116,126,137,147,152,162,162,216,231,224,187,169,183,183,159,135,108,192,215,214,217,217,219,220,221,221
8,121,125,128,131,133,136,138,140,141,142,144,145,145,146,146,146,146,145,145,144,143,143,143,141,140,140,138,137,123,127,130,132,134,137,139,141,143,145,146,146,147,148,148,147,147,147,147,147,146,145,144,144,143,141,139,139,123,128,131,133,137,138,141,144,144,147,148,149,149,150,150,150,149,148,149,149,148,147,146,146,144,143,143,142,124,129,132,136,139,140,142,146,148,148,150,151,152,152,151,151,151,151,150,151,151,149,148,146,146,145,145,144,127,131,133,138,140,141,151,134,130,155,151,152,152,152,152,152,153,152,152,152,152,151,150,149,148,148,146,145,128,132,136,139,142,141,162,129,89,153,153,154,154,154,154,154,154,155,154,154,153,152,151,152,151,150,148,147,129,134,138,140,143,141,161,140,73,137,158,154,156,156,156,156,156,156,156,154,154,153,152,153,152,151,149,148,130,133,137,141,144,143,158,157,73,122,162,156,158,158,157,158,159,157,157,156,156,156,154,153,152,152,151,152,131,134,138,143,145,146,152,155,78,105,166,157,159,160,162,159,159,159,162,157,157,157,156,156,154,153,152,152,133,136,140,143,147,150,150,167,115,88,163,160,158,143,138,162,159,131,127,164,161,162,157,158,157,155,153,151,133,137,140,144,147,150,149,171,133,72,146,162,175,158,114,132,178,136,84,124,132,130,160,157,158,158,155,155,134,138,141,145,147,152,151,165,140,92,115,167,189,186,139,87,170,145,137,92,92,85,108,167,157,158,157,157,136,139,143,146,149,154,153,163,166,125,107,155,184,193,161,84,129,149,146,133,110,107,78,144,162,157,158,157,136,141,144,146,151,155,157,158,172,122,117,148,153,182,165,95,96,143,111,154,156,158,143,84,142,164,157,157,138,143,146,148,153,155,158,158,169,152,138,166,155,156,166,101,71,125,69,124,152,158,150,81,114,171,158,160,139,143,147,151,153,156,159,158,177,185,135,134,149,133,164,121,68,94,71,81,131,159,149,84,108,173,159,160,140,144,148,152,154,158,160,157,178,164,108,113,123,106,145,173,99,67,65,77,151,175,160,86,103,174,159,161,141,145,149,153,155,157,161,160,174,175,133,111,105,99,116,134,92,80,59,83,157,180,160,87,104,174,161,164,140,145,150,153,156,157,161,161,178,190,154,116,104,107,92,124,135,95,77,131,159,181,151,83,90,174,163,165,141,146,151,154,157,158,162,160,183,187,156,127,98,88,97,154,162,139,148,168,154,155,123,76,75,170,164,164,143,148,152,155,158,159,164,161,185,187,162,143,118,88,100,148,169,188,180,162,140,119,100,62,97,174,163,165,144,148,152,155,159,161,164,162,188,187,164,150,132,100,94,142,189,192,184,159,128,94,77,54,148,171,165,165,144,149,153,157,160,163,165,162,184,188,170,152,143,114,108,151,194,188,169,147,116,80,48,97,176,166,167,166,144,148,153,157,158,161,165,165,179,191,177,161,153,125,111,166,188,171,147,126,97,65,52,157,172,169,167,166,143,147,151,154,157,160,164,164,172,190,180,165,157,134,114,166,177,153,131,105,84,47,102,177,166,168,167,165,143,148,152,155,158,162,165,165,170,191,185,167,151,125,111,156,157,141,124,96,67,54,163,171,169,166,167,166,144,148,153,157,158,161,164,166,171,193,178,158,136,107,113,148,132,119,113,91,43,117,180,168,170,168,168,167,145,150,153,157,159,161,165,163,172,194,171,153,122,114,121,140,121,105,101,68,73,174,171,170,170,169,169,167
8,152,157,160,164,165,169,171,173,174,176,178,179,179,180,180,180,180,179,179,178,177,176,177,174,173,173,172,171,154,159,163,165,167,170,172,175,177,179,180,180,181,182,183,181,181,181,181,181,180,179,178,178,177,175,173,172,155,160,164,166,170,171,174,178,178,181,182,183,183,184,185,184,183,182,183,183,182,181,179,180,178,176,176,176,156,161,165,169,172,174,176,179,182,183,184,185,186,186,186,186,185,185,185,185,185,183,182,181,180,179,179,177,159,163,166,171,173,175,184,168,163,187,186,186,187,187,187,187,187,186,187,187,186,185,184,183,182,182,180,179,160,165,169,172,175,176,196,162,120,185,188,189,189,189,189,189,189,190,189,188,187,186,186,187,186,184,182,181,162,167,171,173,176,176,195,170,104,171,191,190,191,191,191,191,191,191,190,189,189,187,187,187,186,185,183,182,162,166,170,174,177,178,192,187,105,154,194,192,193,193,192,193,194,192,193,191,191,191,189,188,187,186,186,186,164,167,171,176,179,181,186,186,111,136,198,194,194,194,196,195,194,193,195,193,193,192,191,191,189,188,187,186,165,169,173,177,181,184,185,201,147,118,195,196,194,178,172,196,194,165,159,197,195,195,192,193,192,190,188,186,165,170,174,178,181,184,185,205,164,104,179,197,212,192,150,165,211,170,116,156,162,162,193,193,193,193,190,190,167,171,174,179,181,186,187,201,172,125,147,200,228,221,172,119,203,179,169,124,123,118,140,199,194,193,192,192,169,172,176,180,183,188,189,198,200,156,139,190,220,231,193,117,162,180,180,163,142,137,110,176,196,193,193,192,169,174,178,180,185,190,192,194,207,157,150,181,189,219,197,128,125,173,144,186,189,190,172,117,175,197,193,192,172,176,180,182,187,190,193,193,206,186,173,199,191,192,198,135,99,152,99,157,185,194,180,113,147,202,195,195,172,177,181,185,188,191,194,194,214,218,169,166,183,165,198,154,97,121,97,114,162,195,181,116,139,204,197,196,174,178,182,186,189,193,194,194,213,201,142,145,155,138,180,202,129,94,90,106,182,211,192,119,135,205,197,196,174,179,184,187,190,192,196,196,211,210,167,142,133,130,148,165,125,104,86,115,189,217,192,120,135,206,198,199,174,179,184,188,191,193,196,197,215,225,188,147,133,134,123,158,166,126,106,165,195,216,183,116,119,206,200,201,175,180,185,189,192,193,197,196,220,224,192,159,128,118,127,186,195,174,183,201,188,189,154,106,104,204,201,200,177,182,186,189,193,194,199,198,223,223,198,176,148,119,129,181,207,224,217,199,174,151,126,92,127,206,201,201,178,182,187,190,194,196,199,198,225,224,200,184,164,130,126,176,226,232,221,194,160,124,103,82,180,205,202,201,178,183,187,192,195,198,200,199,222,225,207,187,176,144,141,185,230,226,206,181,146,106,76,127,208,204,203,202,178,183,187,191,193,197,200,201,216,228,214,197,187,156,144,201,224,208,182,158,126,91,80,189,207,206,204,202,176,181,186,189,192,196,200,201,209,227,218,201,191,166,146,201,212,188,164,135,109,76,132,209,204,204,203,201,177,182,187,190,193,197,200,201,206,228,222,203,185,157,142,190,191,174,155,124,94,83,196,207,206,203,203,202,178,182,187,192,194,197,200,202,207,231,215,193,169,139,144,182,165,151,144,116,74,148,212,206,206,205,204,203,179,184,188,192,194,196,200,200,209,231,208,188,154,145,153,173,152,137,130,96,101,206,208,206,206,205,205,203
15,124,130,137,144,148,149,152,158,163,166,170,172,175,177,180,181,184,186,188,189,190,192,192,193,193,193,195,195,124,132,138,145,148,150,153,160,164,167,170,173,176,179,181,183,185,187,189,190,192,193,194,193,194,196,196,195,125,134,140,146,149,150,155,161,164,168,171,175,177,181,182,185,187,189,191,192,193,194,195,196,197,197,198,198,127,134,141,147,151,152,157,162,166,170,173,175,178,182,184,186,188,190,192,193,194,195,197,198,198,198,198,200,127,135,143,149,152,154,159,163,168,172,174,177,181,183,186,188,189,191,193,193,195,197,199,199,200,200,200,201,128,136,145,147,150,153,159,164,170,174,176,180,183,184,187,189,191,192,194,196,198,198,200,201,201,201,202,202,129,138,142,167,177,162,162,165,171,174,178,181,184,185,187,191,192,194,196,198,198,200,200,201,202,202,203,203,130,139,140,208,202,177,176,170,174,178,179,178,181,187,191,193,193,196,197,198,199,202,202,203,204,204,205,204,131,140,144,179,189,175,174,166,181,184,180,176,165,169,181,185,190,197,199,201,203,204,204,204,206,206,206,206,132,140,148,154,161,158,153,152,169,173,175,175,169,176,173,175,179,188,193,185,189,200,208,204,206,208,208,208,134,141,150,157,158,158,162,163,168,167,162,161,168,177,174,169,165,175,191,184,175,165,179,212,208,206,209,209,135,142,152,157,158,161,168,173,177,179,176,171,170,167,163,156,154,173,184,195,178,163,152,167,212,211,208,210,135,144,153,158,160,162,169,174,177,182,185,188,191,188,181,167,175,188,184,186,181,171,173,157,158,208,213,211,136,145,153,159,161,163,170,174,178,182,185,187,191,196,198,220,212,194,161,166,197,168,181,181,151,149,211,215,137,145,154,160,162,164,170,175,180,184,185,195,196,173,175,201,206,181,135,141,203,164,184,183,177,141,149,215,138,146,155,162,163,165,172,176,181,185,184,210,195,162,163,206,216,181,150,154,180,177,187,180,171,155,129,144,140,148,155,162,163,166,172,177,181,186,188,202,175,159,169,213,217,177,153,159,156,164,176,164,154,154,143,129,141,150,157,163,163,166,172,178,183,187,190,193,191,164,174,210,202,169,157,165,164,163,171,158,138,146,146,144,140,150,158,163,164,167,173,179,183,187,192,190,229,224,161,142,146,146,164,177,173,175,178,163,145,147,146,144,141,150,159,164,166,168,174,180,183,187,194,190,221,236,184,114,80,70,82,112,162,174,173,161,159,156,142,135,142,150,160,165,167,169,175,180,184,189,194,191,217,233,183,124,99,86,64,50,101,162,159,152,140,124,109,97,143,151,160,165,166,170,176,180,185,189,194,193,213,237,167,124,139,132,109,84,71,109,117,104,90,83,78,71,143,153,160,164,166,171,176,180,186,190,195,196,206,238,172,144,171,155,151,145,106,87,84,83,80,79,79,74,143,152,159,163,164,170,174,180,184,188,194,196,201,238,191,140,182,161,155,127,96,89,88,87,83,80,79,77,142,151,159,163,164,170,175,181,185,190,193,196,195,229,209,131,205,207,165,108,88,86,86,86,84,81,80,78,142,152,160,163,166,171,177,182,187,191,194,199,195,225,196,125,209,221,173,100,85,85,86,87,84,82,83,83,143,153,161,164,167,171,177,183,188,192,194,199,201,212,158,176,215,219,185,101,94,90,88,84,83,83,84,82,143,154,162,166,168,172,178,182,188,192,195,198,202,204,200,212,211,215,217,131,101,95,89,84,84,84,83,80
13,176,177,178,179,180,181,182,182,181,181,181,181,182,181,180,179,178,178,176,176,175,174,173,172,171,171,170,169,178,179,180,181,182,183,184,185,184,183,182,182,183,182,182,180,179,178,178,178,176,175,174,173,172,171,171,170,180,181,182,182,184,185,185,186,186,185,184,184,184,183,183,182,181,180,180,180,178,177,176,175,174,173,172,172,181,183,184,185,186,187,186,186,186,186,186,185,185,185,185,184,182,183,183,181,180,179,178,178,177,176,174,173,182,184,185,186,187,188,188,187,187,187,188,187,187,187,186,183,167,156,174,181,178,181,180,179,178,179,177,175,184,186,188,188,189,189,190,190,189,189,190,190,184,183,187,179,140,97,108,166,148,140,171,181,179,180,179,177,186,187,189,189,191,192,192,194,181,161,184,191,160,140,176,169,133,91,70,127,125,87,112,178,181,180,180,178,187,188,191,192,192,193,199,204,178,127,137,180,153,118,161,173,132,99,67,115,120,93,76,154,184,181,180,179,189,190,193,194,194,194,219,211,179,132,132,175,146,120,178,197,143,101,81,140,130,99,65,145,186,183,182,181,191,192,194,194,195,199,227,214,183,134,139,178,142,117,196,202,136,96,110,164,127,86,67,155,187,185,183,182,192,194,195,195,196,216,225,202,180,126,135,175,144,102,144,165,112,85,94,119,92,65,75,172,188,186,185,185,193,195,197,196,207,224,202,172,141,100,128,167,136,91,55,80,102,97,92,94,92,71,100,187,188,188,187,186,195,196,197,197,221,224,188,144,107,79,118,137,114,74,37,52,89,92,110,126,126,102,114,191,190,190,189,187,196,197,198,202,235,232,208,167,127,77,101,115,99,97,118,150,159,152,152,141,144,125,100,177,193,192,190,189,197,198,199,210,240,231,214,195,163,114,112,146,166,189,197,192,185,174,163,132,120,110,89,151,196,194,193,191,199,200,200,216,239,230,217,202,174,157,162,193,206,204,198,189,181,167,151,131,111,106,90,127,197,195,194,192,201,201,200,219,238,230,218,203,182,178,188,203,212,202,194,188,177,160,143,130,113,103,86,113,196,196,194,193,201,201,201,219,236,228,217,200,184,180,191,201,211,202,194,186,168,148,135,121,103,92,76,135,197,196,194,194,201,202,203,215,232,225,211,191,175,174,185,194,198,195,188,174,154,138,123,106,87,69,109,189,198,197,196,195,201,204,205,211,221,214,195,175,167,178,186,188,182,183,176,160,144,125,105,85,66,84,178,201,199,198,197,196,205,178,143,189,210,202,190,180,174,183,188,180,169,162,155,137,118,97,80,64,88,169,202,201,200,199,198,196,198,126,71,111,199,211,207,201,183,174,183,170,147,133,132,113,91,74,84,131,185,203,203,202,200,200,199,197,149,90,82,77,123,191,206,199,179,161,168,152,125,113,108,84,69,110,180,204,205,204,204,203,202,201,200,199,101,80,79,78,74,103,147,150,145,142,152,131,108,96,80,72,139,198,208,206,206,206,205,204,203,202,201,200,88,78,74,75,76,45,51,66,67,69,81,81,76,68,58,140,209,210,208,208,207,207,205,205,204,203,201,200,80,74,72,71,76,55,25,47,49,43,40,38,37,38,44,151,209,212,209,209,208,206,205,206,205,203,202,201,77,73,69,66,73,62,17,35,43,38,36,34,32,25,16,72,202,210,209,209,208,206,206,206,205,203,202,200,75,71,68,61,69,59,14,27,37,35,35,31,31,22,17,134,211,209,209,208,207,206,205,205,204,202,201,200
3,157,159,159,159,159,160,160,160,160,160,160,160,159,158,157,155,154,147,155,151,151,150,149,148,145,144,142,141,160,161,162,162,162,162,162,163,162,162,164,163,162,161,160,159,164,111,137,159,154,153,152,151,148,147,145,144,163,164,165,165,165,166,166,166,166,166,167,167,166,165,163,163,157,95,111,167,155,156,155,154,152,150,148,146,166,168,168,168,169,169,169,170,171,170,169,168,169,168,167,166,155,93,95,168,160,159,158,157,155,153,151,149,170,171,171,172,173,173,173,174,173,172,172,172,171,171,169,170,155,90,88,170,162,162,161,160,158,156,154,152,173,174,174,174,175,176,176,175,175,175,175,174,174,174,172,172,154,96,85,170,165,164,163,162,161,159,156,154,175,176,177,177,177,178,178,179,178,178,178,177,177,176,174,175,163,102,80,169,169,166,165,164,163,161,159,157,178,179,180,180,180,181,181,180,180,180,180,180,180,179,177,176,159,90,80,174,170,169,168,166,166,164,162,160,180,181,182,182,182,182,182,181,181,181,182,182,182,182,181,175,150,104,87,165,175,171,170,169,168,166,164,162,181,182,182,184,184,184,184,184,184,184,185,185,184,184,182,178,162,129,83,151,181,173,173,171,170,169,166,163,182,184,184,185,185,186,186,186,186,187,187,187,186,184,185,178,165,127,72,140,185,173,174,174,171,170,168,165,185,185,186,185,185,186,188,187,187,187,187,188,186,187,185,182,174,128,75,116,190,173,175,175,173,171,169,167,187,186,187,187,187,187,188,189,189,188,189,189,191,184,169,159,152,150,108,133,169,185,176,176,174,172,171,168,187,187,187,188,189,189,190,190,190,190,192,191,184,177,169,125,87,135,145,171,107,156,186,177,176,175,173,170,188,188,189,190,190,191,191,191,191,193,186,171,127,139,170,124,83,96,148,147,84,60,132,185,176,176,174,172,190,190,191,191,192,193,192,192,193,187,177,163,119,94,138,148,105,80,124,132,91,65,68,174,181,177,175,174,190,190,191,192,193,193,192,194,192,179,166,144,140,122,105,155,116,73,77,101,103,72,63,163,185,177,177,175,191,191,191,192,193,193,193,194,189,171,142,106,126,128,90,123,127,77,67,85,119,84,56,154,188,178,177,176,190,191,191,192,194,195,196,197,192,171,155,105,75,109,59,87,122,66,70,83,124,114,58,133,191,178,179,177,190,191,191,193,194,195,196,196,198,174,147,123,96,78,60,83,90,52,78,119,138,127,63,136,192,180,180,178,191,192,192,192,193,194,195,195,199,174,157,152,120,86,85,104,94,85,144,152,137,97,80,180,184,181,179,176,191,192,193,193,195,195,195,195,199,181,151,152,130,103,96,116,156,162,170,139,113,66,131,194,177,179,181,183,190,191,191,193,194,195,195,195,198,188,148,149,133,109,98,105,162,161,146,120,85,66,171,190,189,189,170,138,197,197,197,197,198,198,199,200,199,202,156,131,127,109,103,100,145,146,128,99,60,115,198,172,150,119,77,58,158,162,166,169,174,178,182,184,186,191,177,127,125,118,115,97,119,130,109,71,78,143,104,74,56,49,49,54,98,99,100,101,101,105,105,105,105,104,116,146,125,123,109,88,89,89,68,57,78,67,49,46,52,47,46,43,106,105,106,107,105,105,111,108,109,106,123,167,149,125,98,84,83,82,62,62,64,57,59,43,47,41,39,39,105,106,106,107,107,107,113,111,113,109,138,155,153,132,112,102,91,81,59,61,57,54,49,49,37,38,35,38
20,157,158,159,158,159,161,161,162,162,162,162,162,161,162,161,160,159,156,157,156,155,154,152,150,148,147,145,143,160,162,163,162,164,164,165,165,166,165,165,165,165,165,165,169,160,124,159,160,158,157,155,153,152,150,148,146,165,166,166,167,168,168,168,168,169,169,169,169,169,169,169,174,165,104,137,151,161,160,159,157,156,153,152,150,168,170,171,171,171,171,172,173,173,174,173,172,172,172,172,175,166,97,86,104,156,164,163,161,159,157,155,153,172,173,173,174,174,176,176,177,177,178,176,176,177,177,176,181,163,90,108,112,132,168,166,165,163,161,159,157,177,177,178,178,178,180,180,180,180,180,179,180,181,181,179,185,159,88,131,130,109,171,169,168,166,164,162,160,179,181,181,182,182,182,184,183,184,183,184,184,184,184,182,193,163,96,138,135,101,173,173,171,170,168,166,163,183,184,184,185,185,185,186,186,186,186,186,187,187,186,184,200,152,92,148,154,104,171,177,174,173,172,170,166,186,186,186,187,188,188,189,189,189,189,189,189,189,188,189,205,140,92,164,155,99,168,180,178,176,174,173,171,189,189,190,190,191,192,193,193,192,192,191,193,192,181,178,201,145,106,179,154,94,164,181,181,179,178,175,173,192,193,194,194,194,194,195,196,195,194,194,195,195,187,169,162,144,103,162,157,104,164,182,183,182,180,179,176,194,195,195,196,196,196,197,198,197,197,197,197,196,199,199,172,132,109,146,159,115,158,186,186,185,182,181,178,196,197,198,198,199,200,201,200,200,200,200,200,196,165,168,170,162,127,112,133,108,149,189,187,186,183,181,179,198,200,200,200,201,201,201,201,202,202,202,202,200,171,100,157,176,122,81,91,91,137,192,190,188,185,183,181,200,200,200,202,202,202,202,202,203,203,203,204,202,171,78,127,168,140,96,75,74,121,194,193,190,187,186,185,201,202,202,203,204,204,204,204,205,204,204,204,198,171,115,105,138,155,120,104,77,103,196,195,192,190,188,187,203,204,205,206,206,206,206,206,206,206,206,198,194,174,141,100,85,131,137,116,82,82,195,197,194,193,190,189,206,206,207,207,208,208,207,208,208,208,202,198,178,174,164,132,93,105,129,128,94,73,186,198,195,194,193,191,207,208,209,209,209,209,209,209,209,209,198,184,142,124,153,145,99,89,113,152,122,77,151,200,198,195,194,192,209,209,209,210,211,210,211,211,212,211,198,189,153,94,94,135,87,71,104,157,150,98,92,197,200,198,196,194,210,211,212,212,213,212,212,213,213,212,199,182,158,121,79,105,88,79,139,180,166,111,74,190,201,200,198,195,212,213,214,214,214,214,214,215,214,214,197,191,180,129,90,102,121,118,188,185,156,99,81,197,202,200,199,196,213,214,215,215,215,215,215,216,216,217,197,192,186,137,108,109,176,198,200,165,139,82,110,204,202,201,200,197,213,214,215,215,215,215,216,216,217,218,198,185,178,148,113,109,188,201,184,147,119,75,149,205,203,201,201,199,213,214,214,215,215,215,215,216,217,218,200,177,169,150,118,109,179,186,166,131,100,71,180,205,202,202,201,199,214,214,215,216,216,216,216,217,218,218,209,179,169,151,129,116,175,182,154,114,81,89,202,205,202,200,199,194,214,214,216,216,217,217,217,218,219,219,218,185,169,155,135,112,159,166,133,93,64,149,207,206,203,192,162,115,215,215,216,217,218,219,218,218,220,220,218,192,175,155,134,113,129,134,98,70,74,198,204,171,141,98,62,51
8,188,188,188,188,189,189,189,189,190,190,189,189,188,188,188,188,187,187,188,187,186,186,184,183,184,185,170,80,189,189,191,191,191,190,190,191,191,190,187,190,189,190,191,190,189,189,189,189,188,188,186,186,186,185,183,135,191,193,193,192,192,193,191,192,194,194,148,183,194,194,194,193,193,192,191,191,191,189,187,187,187,187,185,116,192,194,194,193,194,193,193,193,198,193,124,178,197,195,194,195,194,193,193,192,192,190,190,189,189,188,181,130,194,194,195,194,194,194,195,193,206,178,110,188,197,196,195,196,196,195,195,194,193,192,192,191,191,190,186,161,195,195,196,196,196,195,196,195,214,163,109,199,198,197,197,199,197,196,196,196,194,193,193,193,192,191,188,188,195,196,198,198,198,198,197,200,217,155,123,202,200,200,200,200,198,198,197,196,195,195,195,194,193,193,191,191,197,197,199,199,199,200,199,207,210,133,143,204,200,202,201,199,202,200,199,199,197,198,195,195,195,193,192,190,199,200,199,199,201,201,198,213,199,129,150,210,184,178,202,194,188,201,202,203,200,197,198,196,196,194,195,194,200,201,201,200,201,201,199,218,196,138,157,229,184,139,175,185,142,156,181,179,190,158,162,201,197,198,197,195,201,201,201,201,202,202,201,220,198,142,195,235,203,152,145,180,154,108,130,144,181,132,120,204,199,199,197,195,202,201,202,201,203,202,205,218,197,151,220,239,215,166,120,174,153,125,165,147,195,134,115,205,199,198,198,197,202,202,202,203,203,202,212,204,193,179,207,235,222,172,110,163,139,161,177,149,202,162,122,202,201,199,199,198,202,202,202,202,204,205,210,182,196,198,180,215,223,175,107,140,135,178,162,144,197,181,142,168,206,201,200,199,202,202,202,202,203,209,207,160,189,185,174,195,226,182,107,107,140,182,150,118,191,181,138,125,208,201,201,200,201,201,202,202,201,213,208,148,155,168,153,171,219,177,100,90,136,173,133,111,193,167,112,150,207,203,201,200,201,201,202,203,202,221,221,148,134,137,132,135,200,184,111,82,140,182,126,137,178,135,104,195,202,201,200,200,202,202,202,203,206,228,227,165,121,133,126,130,176,194,139,69,134,153,122,163,137,99,141,207,201,201,200,200,202,202,203,203,209,229,229,182,117,122,124,123,161,169,117,104,175,164,172,171,116,94,193,204,201,201,201,201,202,202,203,204,212,229,228,192,118,125,134,128,181,188,166,192,190,170,158,160,106,113,209,204,204,203,201,201,202,203,203,204,214,229,230,193,123,134,133,154,206,214,214,203,186,170,137,127,94,145,211,204,205,204,202,201,205,207,207,206,214,227,226,186,138,149,134,193,221,220,218,206,186,158,124,98,100,198,208,205,204,203,203,202,147,150,152,151,194,231,225,191,161,154,138,202,225,229,217,200,176,143,109,84,143,210,205,205,201,200,203,204,96,96,95,89,154,233,224,201,169,162,147,195,230,232,202,185,160,123,99,86,115,128,128,140,168,199,210,207,103,103,102,98,133,230,222,200,170,165,151,194,232,217,189,165,139,106,94,89,94,119,156,192,206,207,207,203,104,102,103,99,132,226,210,187,166,161,153,206,221,198,172,140,119,93,95,146,176,203,210,212,216,208,196,195,102,103,106,98,151,221,201,183,168,161,164,200,199,184,152,123,110,80,149,231,220,194,187,191,198,207,203,193,103,102,104,97,172,217,197,182,171,164,172,188,184,172,137,115,107,103,186,197,219,213,188,176,183,186,182,186
12,172,177,180,183,186,188,190,192,193,193,194,194,194,194,194,194,194,194,193,192,191,190,189,188,188,187,185,183,174,178,182,185,187,189,192,194,195,195,195,195,196,196,195,196,195,195,195,193,193,193,192,191,190,188,187,186,175,178,182,186,188,191,193,195,196,197,197,196,195,197,196,183,189,196,196,195,195,196,195,194,193,192,189,188,176,179,183,187,190,192,194,195,197,198,203,190,164,183,204,177,144,178,186,174,191,197,197,196,194,193,192,191,177,180,184,187,191,194,195,197,199,199,223,219,191,155,171,211,174,128,146,151,140,193,198,198,196,195,195,193,180,183,185,189,193,196,198,199,201,209,222,224,210,164,118,185,183,126,94,146,125,152,200,199,198,197,195,195,181,185,188,192,195,197,199,201,200,222,196,202,210,153,107,162,170,121,84,125,125,102,198,200,199,199,197,196,183,186,190,193,197,200,201,202,201,174,148,197,195,142,95,168,163,113,91,127,116,100,199,202,200,199,198,198,185,188,192,195,199,201,205,224,211,148,110,146,176,153,88,159,187,129,96,146,122,116,202,203,203,201,200,198,187,190,194,197,200,209,228,223,215,160,106,103,175,150,77,155,197,129,102,182,128,149,204,203,203,202,201,200,189,193,197,200,206,229,206,194,217,170,105,65,145,129,60,109,182,121,95,171,131,187,205,205,204,203,201,201,192,195,200,203,221,226,200,169,202,161,104,61,71,80,66,104,126,127,136,142,104,179,208,206,205,205,203,201,194,198,201,205,221,200,170,135,177,156,107,63,65,77,149,198,178,166,147,131,117,130,209,208,207,206,204,202,196,200,204,203,226,204,174,131,147,155,107,68,79,122,184,203,192,169,136,112,120,104,200,209,208,207,206,203,199,202,207,203,227,208,179,143,124,153,131,80,108,171,201,199,191,167,132,111,104,102,204,211,209,208,207,204,202,205,209,211,232,214,191,159,122,137,145,94,169,205,209,201,192,153,126,105,84,139,213,213,210,209,207,205,204,208,210,219,235,221,198,168,141,120,128,143,203,212,215,209,179,137,120,98,84,196,216,214,212,209,208,203,206,209,213,224,233,226,206,176,160,145,133,178,199,208,216,200,159,128,114,87,127,216,216,213,199,176,141,104,208,212,214,221,227,228,212,185,174,162,140,184,186,211,213,181,146,121,108,81,185,197,163,121,84,68,63,55,210,214,217,215,229,229,215,192,186,171,150,188,186,208,201,162,134,112,97,88,116,78,61,52,50,48,48,56,214,216,220,216,224,223,211,196,188,172,158,180,200,188,176,143,122,103,81,55,50,45,46,42,47,42,41,53,216,219,222,221,217,223,212,199,185,172,164,170,190,174,152,131,111,95,60,36,38,50,39,37,45,47,35,41,217,220,223,222,212,225,212,197,183,170,157,159,177,163,139,121,102,80,58,28,31,49,44,31,37,47,42,33,219,221,225,222,215,224,205,188,177,168,152,158,169,154,122,109,89,60,60,39,22,36,48,36,29,39,46,36,222,225,227,224,216,222,192,173,174,165,151,159,159,139,109,93,58,33,50,51,21,22,41,44,29,29,42,42,223,226,228,223,214,229,195,183,186,174,161,161,149,126,103,75,50,22,37,52,31,13,28,43,39,24,33,43,225,228,229,211,204,229,203,200,202,176,160,156,140,118,95,57,47,26,28,42,41,12,16,34,44,33,26,39,226,229,231,180,176,227,217,219,207,169,159,157,137,114,86,55,38,34,18,31,45,19,9,26,43,40,27,29
18,80,84,87,91,97,105,110,117,125,134,142,147,152,156,159,161,164,169,171,174,177,181,183,185,188,189,189,193,79,84,88,93,100,106,109,117,126,135,142,149,155,156,158,161,167,171,172,176,178,180,183,185,188,189,191,194,80,84,89,93,98,106,111,118,127,136,143,150,155,157,160,162,168,172,173,177,181,183,185,187,188,191,194,196,82,85,90,94,99,107,111,119,130,137,145,151,157,160,161,164,167,171,177,180,182,186,189,189,188,191,195,197,82,85,90,95,102,108,112,120,130,140,148,153,157,159,165,163,176,172,157,175,187,181,179,195,195,194,195,198,82,85,90,94,103,109,113,121,130,141,151,150,160,168,154,168,219,160,122,112,190,195,145,132,196,198,197,199,83,86,90,93,102,109,115,125,133,143,149,145,224,180,120,176,206,164,158,162,220,193,143,98,115,201,198,199,83,87,91,94,103,110,114,125,129,147,141,189,253,180,134,196,200,170,184,193,192,158,150,138,80,157,210,200,85,89,91,95,104,113,118,119,151,208,143,153,233,180,169,163,177,162,169,173,149,138,160,151,115,109,213,202,86,90,92,97,105,111,119,110,229,231,172,122,187,210,172,130,131,152,126,135,105,161,169,158,145,91,160,221,86,89,93,96,106,112,109,136,255,228,201,162,134,222,175,133,108,190,125,75,95,199,175,177,165,125,92,191,86,89,93,97,105,114,102,173,214,217,222,188,109,163,190,140,87,173,168,105,49,158,181,196,181,140,104,103,87,90,93,100,107,116,102,188,170,163,206,159,103,102,160,120,78,110,132,81,66,158,205,217,186,146,120,93,88,90,92,100,106,115,101,213,206,157,174,104,90,68,103,96,60,64,62,111,216,221,197,196,175,145,125,108,87,90,93,98,107,112,106,229,212,175,179,95,83,53,88,93,47,22,125,236,229,207,197,171,150,132,122,99,87,91,94,98,108,108,130,247,206,167,154,106,77,40,84,82,40,105,240,244,232,207,181,155,124,114,106,106,88,90,92,99,107,108,124,255,231,198,180,146,106,89,91,86,120,226,249,244,229,191,169,141,113,105,90,151,89,90,94,101,107,109,120,255,245,218,199,167,143,149,137,147,217,247,246,237,208,175,153,130,108,97,94,198,87,91,94,101,108,113,118,255,255,227,199,171,157,164,161,193,237,239,236,217,187,162,139,119,107,87,126,224,87,91,94,100,108,115,115,255,254,227,201,183,179,173,180,213,232,237,219,192,176,150,128,118,109,81,173,224,89,92,94,101,108,116,112,234,255,232,212,199,193,189,198,215,220,222,193,169,158,137,119,110,99,102,216,218,89,92,95,103,111,118,112,200,255,237,233,216,197,189,195,200,199,194,175,155,141,124,110,108,85,160,225,213,89,92,96,105,112,117,117,163,255,244,250,229,204,184,170,171,174,170,165,141,124,114,107,94,98,211,217,216,89,92,97,106,109,116,128,130,236,245,236,227,204,177,160,153,160,158,155,134,114,110,109,77,150,224,214,218,88,91,96,104,110,115,132,128,187,242,208,205,194,172,154,150,155,160,158,138,118,112,99,81,199,218,217,221,89,92,96,104,111,114,127,137,148,226,208,185,171,151,150,158,139,147,153,136,116,109,84,108,219,212,217,221,87,92,98,105,109,116,130,144,140,200,191,165,170,157,172,177,141,136,152,137,114,108,75,132,227,212,217,220,85,90,97,104,107,117,128,142,142,179,202,177,186,171,167,171,146,125,142,136,114,102,72,121,226,215,219,220
10,138,142,146,149,152,156,158,161,163,165,165,167,168,168,169,169,170,170,170,170,170,170,170,170,171,171,171,171,141,145,148,152,155,159,161,164,166,168,169,171,172,171,172,172,173,173,173,173,173,173,173,172,174,173,172,172,144,148,151,155,158,161,164,167,170,171,173,174,174,174,176,176,176,177,177,177,176,176,175,175,176,176,176,174,146,150,155,158,161,165,168,171,173,175,176,177,178,178,179,178,180,171,172,181,179,179,178,179,179,179,178,178,149,153,158,160,164,167,171,174,177,179,179,180,181,181,181,179,188,169,131,184,182,181,181,182,182,182,182,181,152,155,159,163,167,170,173,176,180,181,181,182,183,184,183,184,189,191,131,157,187,184,184,186,185,185,185,183,153,158,162,165,168,172,175,179,181,183,184,184,185,186,186,188,187,200,164,129,188,188,187,187,187,187,186,186,155,159,164,167,171,174,178,181,183,184,185,187,187,188,187,180,184,205,201,139,170,192,188,189,189,189,188,188,158,162,166,169,173,177,181,183,185,186,187,189,190,189,197,155,125,199,218,168,135,195,192,193,193,192,192,191,159,163,167,171,175,180,182,184,186,188,189,191,192,191,201,183,119,143,220,190,120,183,195,195,194,194,194,194,160,165,169,174,178,180,183,186,188,190,192,193,194,193,198,221,187,141,171,198,127,163,199,195,196,196,196,196,161,166,170,175,179,181,185,187,189,191,194,195,194,201,195,190,223,162,102,175,142,139,203,197,198,199,198,198,163,167,172,176,180,183,186,188,191,193,194,195,199,206,181,120,170,176,113,103,121,114,205,199,200,200,200,199,163,167,172,176,181,184,186,190,193,195,195,196,219,203,156,87,81,173,144,83,76,84,186,204,202,201,201,201,164,169,174,177,182,185,188,192,194,195,197,196,220,193,116,51,41,137,159,116,70,69,141,209,203,202,201,202,166,170,174,179,182,187,190,193,195,195,205,207,191,218,182,94,39,129,169,156,102,73,113,209,205,204,202,202,167,172,174,179,184,187,191,194,196,196,210,223,204,186,217,161,85,167,191,174,119,71,98,207,207,207,206,204,168,172,176,179,183,188,192,194,196,197,197,202,220,172,173,207,142,176,194,169,126,73,92,207,208,208,208,206,167,171,175,179,183,187,190,193,195,197,198,174,187,160,122,175,137,184,204,166,122,81,90,206,209,208,208,207,167,172,176,179,183,186,189,194,195,195,206,206,176,158,128,137,215,223,204,165,112,80,95,206,208,207,205,206,167,172,175,180,184,187,190,193,195,195,205,223,193,160,152,187,234,220,196,152,104,83,101,209,208,207,206,206,168,172,175,180,185,187,190,193,195,197,198,218,204,192,182,204,228,205,179,140,101,94,95,207,209,207,207,206,168,173,177,181,184,187,191,194,196,198,199,211,210,204,200,193,222,192,168,140,122,113,96,205,209,208,208,208,163,168,173,179,184,188,192,195,197,199,202,206,215,213,209,176,205,186,175,153,144,117,105,209,210,210,210,210,101,105,109,115,120,123,127,133,137,140,142,159,215,216,202,179,178,180,188,168,138,103,110,195,198,200,201,204,93,94,95,95,93,92,92,94,95,95,97,98,183,201,187,177,168,174,200,173,129,97,92,106,110,113,116,118,97,97,99,99,99,103,104,103,102,102,103,97,137,194,176,176,176,178,190,168,125,92,99,104,102,103,102,102,95,95,97,97,97,99,100,104,103,101,100,100,110,188,186,178,183,176,175,171,124,92,105,112,110,112,112,114
14,127,131,136,138,140,143,145,147,148,151,149,152,152,151,150,151,151,149,149,149,148,147,146,145,143,142,141,140,129,134,138,141,143,146,147,148,150,152,153,154,154,154,153,151,154,155,154,150,148,149,149,147,145,145,143,143,131,136,140,143,146,147,149,151,153,155,155,155,155,155,155,155,131,137,151,153,153,149,148,148,147,146,145,145,132,138,142,145,147,149,151,154,155,155,156,157,157,155,155,140,131,115,121,112,139,161,148,147,149,147,147,147,133,139,144,145,148,152,154,155,157,158,159,159,156,171,171,160,149,130,98,77,72,105,153,156,148,149,148,149,135,140,146,148,150,153,155,157,158,160,162,156,167,191,157,128,170,140,102,54,37,36,57,134,159,148,150,148,136,142,147,150,152,155,156,158,160,162,161,169,187,185,132,42,100,87,126,81,18,45,15,22,130,158,149,151,138,143,148,151,153,157,158,160,162,163,164,184,165,119,82,35,19,41,135,112,43,42,44,18,31,155,154,153,139,144,149,153,156,157,159,162,163,169,180,195,141,70,32,13,12,11,92,129,72,48,67,49,23,100,164,151,140,145,151,153,157,159,162,165,163,179,197,194,152,101,55,33,23,13,20,80,92,47,56,44,52,45,147,158,142,145,151,154,157,161,163,165,168,188,201,181,128,87,54,29,29,20,83,144,165,139,81,49,50,29,94,165,143,148,152,156,159,162,164,163,176,201,195,143,81,42,31,23,13,59,178,171,164,172,171,96,52,56,83,165,144,150,155,157,161,163,168,160,185,201,182,155,105,46,23,6,37,168,177,165,168,168,164,85,96,51,89,171,146,152,156,159,163,165,166,167,200,193,169,159,108,63,27,0,8,54,140,177,164,179,132,83,100,44,57,172,148,154,156,160,164,170,160,189,205,183,167,160,100,68,17,4,12,12,30,145,185,144,64,80,90,49,23,138,149,154,158,162,165,166,170,206,192,168,174,154,104,72,15,9,24,34,34,46,87,55,69,89,73,48,16,123,149,154,161,164,168,163,189,206,189,174,175,146,108,65,16,26,48,49,50,45,30,52,72,86,71,26,86,170,150,156,161,165,167,169,207,204,190,172,160,144,103,51,22,43,63,64,61,60,51,52,75,66,37,96,174,167,152,157,162,166,165,182,211,199,182,162,148,136,89,52,33,57,67,70,66,59,57,52,53,38,117,178,169,169,154,158,163,167,165,199,209,190,171,156,138,120,80,55,46,60,73,68,65,50,57,34,29,134,185,169,171,171,155,160,163,167,169,209,202,183,166,145,127,112,79,62,47,60,74,63,57,47,33,67,149,184,174,174,172,171,156,161,166,167,179,216,197,175,158,140,118,100,88,58,47,54,63,60,48,29,119,185,182,176,177,176,174,172,157,162,168,166,198,212,190,161,132,124,114,99,67,47,50,49,54,38,32,127,193,179,177,178,177,175,175,173,157,162,164,181,213,199,178,143,141,130,95,68,43,49,53,32,42,79,154,191,179,181,180,179,178,176,176,175,160,169,160,184,204,189,174,151,139,104,86,64,48,47,34,90,166,191,191,183,185,183,180,179,178,178,177,176,152,156,145,186,199,189,168,150,120,83,77,57,49,24,92,204,193,187,187,185,185,183,182,181,179,179,178,176,37,0,73,204,192,181,161,137,101,71,66,52,36,40,171,191,187,189,188,186,185,184,184,183,181,180,179,177,25,0,50,174,189,172,156,125,83,62,55,44,16,114,197,187,188,188,188,186,186,185,185,183,181,180,179,177
21,158,160,165,171,175,179,183,186,188,190,192,194,195,195,194,195,195,194,192,192,191,191,189,187,187,187,184,182,159,161,166,172,178,181,184,187,189,191,195,195,196,196,195,197,194,194,197,193,193,192,191,190,188,188,186,184,162,164,168,175,180,183,186,188,191,194,196,198,198,198,199,197,210,186,173,199,194,194,194,192,190,189,188,186,163,165,170,176,181,185,188,191,193,195,198,200,200,200,202,195,231,191,139,203,195,195,195,193,193,192,190,188,164,167,172,179,183,186,190,193,195,196,199,201,202,202,202,196,233,188,135,201,197,196,195,196,189,191,191,190,165,168,173,179,185,188,190,194,196,198,200,202,204,202,203,198,240,188,133,199,199,199,196,220,161,170,197,192,167,170,175,182,186,189,193,195,197,199,202,203,203,203,204,200,247,196,141,199,202,198,204,225,138,169,199,192,168,171,178,184,188,192,195,195,199,202,203,204,204,205,206,202,252,197,148,200,204,196,219,212,133,182,198,194,168,171,178,184,188,193,195,198,202,203,205,206,206,206,206,205,253,190,150,200,205,200,234,193,138,191,197,195,170,172,179,186,189,194,197,200,202,204,206,208,208,206,204,214,255,195,152,198,205,207,246,185,149,201,198,197,171,175,181,186,192,196,198,202,203,205,208,210,206,224,218,199,251,213,158,200,203,226,244,170,161,207,199,198,172,176,182,188,192,197,200,202,205,207,209,207,212,255,238,182,163,200,161,203,206,250,229,153,172,208,200,200,174,176,184,190,194,199,202,204,206,207,214,239,203,235,255,198,128,144,164,205,224,254,206,142,189,207,202,202,174,177,185,192,198,202,205,207,210,204,243,255,215,172,246,197,127,120,161,208,234,235,180,150,207,204,202,202,175,180,187,194,199,202,205,208,211,209,255,255,246,159,199,207,134,110,136,183,209,213,157,174,213,204,204,203,176,181,188,195,201,203,208,210,212,218,255,243,254,154,169,240,180,122,112,143,171,176,147,203,211,207,205,204,178,182,191,196,201,205,209,213,211,226,255,233,241,187,143,241,227,161,110,129,160,141,155,217,209,209,208,205,178,183,192,197,202,206,209,214,210,247,255,229,212,207,132,197,235,198,136,107,139,127,165,219,210,211,209,207,179,183,192,199,203,208,210,217,211,255,255,206,181,163,149,158,227,228,182,117,116,120,179,220,212,212,211,209,180,184,193,200,206,209,212,217,213,255,255,205,172,174,183,186,224,253,217,156,113,120,202,219,214,214,212,211,181,186,194,201,206,210,215,218,216,255,255,205,170,189,196,242,247,253,241,190,131,131,219,218,216,217,214,212,180,186,195,201,206,211,215,219,219,255,255,207,175,202,214,255,255,245,232,208,155,145,226,219,218,218,215,213,178,185,194,200,205,210,215,219,218,255,255,203,190,203,229,255,255,246,213,192,155,148,227,219,218,217,216,213,179,185,195,202,208,211,216,221,219,255,255,202,216,199,248,255,255,239,213,164,131,154,228,220,219,218,217,215,179,186,196,203,209,213,217,223,221,255,255,217,235,198,254,255,255,235,207,156,122,177,231,221,221,219,217,215,180,187,195,201,207,213,217,222,218,254,255,241,241,197,246,255,247,223,186,150,128,205,228,222,221,219,217,215,178,186,195,204,209,214,219,224,223,245,255,253,238,195,235,255,224,198,166,137,145,231,227,226,225,223,222,216,173,178,183,186,190,193,195,199,198,214,255,249,230,191,212,247,205,175,155,133,151,198,193,192,191,190,187,197
4,193,193,194,194,194,194,194,193,193,194,193,194,194,194,195,195,195,195,194,194,194,194,193,193,193,192,190,189,195,194,195,195,194,194,195,195,195,195,194,194,194,196,196,196,196,196,196,195,195,194,193,193,193,192,191,191,196,195,196,196,196,195,196,196,196,196,196,196,194,192,194,196,194,193,196,197,196,195,195,195,194,193,193,193,196,196,197,197,198,197,197,197,198,196,197,203,197,178,175,190,185,168,174,194,195,195,195,195,195,195,194,194,196,197,198,199,199,199,198,197,200,198,192,196,209,187,157,182,192,157,137,170,175,177,192,197,196,196,196,195,198,199,199,200,200,200,199,200,208,211,195,168,191,198,154,177,202,164,134,166,156,134,166,197,198,198,197,197,200,200,200,200,201,201,200,204,208,210,198,161,169,191,147,165,202,163,146,183,164,120,128,189,200,199,198,198,200,201,201,201,201,201,201,209,201,193,196,153,151,184,151,149,183,150,149,191,175,125,121,187,200,200,199,200,200,201,202,203,202,201,204,210,184,165,183,153,137,177,173,161,170,164,178,202,184,136,134,193,201,201,200,200,200,201,202,203,203,203,209,207,180,153,161,143,119,146,165,173,175,184,195,196,176,145,135,187,203,202,202,201,201,201,202,204,204,207,211,201,182,155,135,113,102,119,126,149,161,170,178,175,164,156,126,165,202,203,203,202,202,202,203,204,205,210,209,187,162,143,123,103,101,118,107,121,137,140,147,151,166,167,130,141,197,204,204,204,202,203,203,204,206,213,210,182,148,125,113,104,109,122,119,138,146,133,122,150,190,184,147,125,179,204,205,206,202,202,203,205,206,218,219,192,154,121,102,100,113,123,140,165,169,151,146,172,201,197,167,123,152,203,206,207,202,202,202,204,207,220,224,201,161,121,102,100,117,133,162,176,180,178,189,196,197,198,171,124,130,195,207,207,201,201,202,203,207,222,225,208,166,124,110,106,115,140,167,180,193,201,202,200,191,178,155,122,119,186,206,207,201,202,203,203,208,223,224,210,170,132,126,120,125,151,175,194,203,203,198,190,176,153,131,114,125,187,206,206,201,202,203,205,210,223,222,207,174,152,141,132,154,183,199,210,208,199,189,176,159,134,111,112,159,200,206,206,202,202,203,205,209,222,222,210,188,169,152,140,172,205,211,214,206,192,177,162,143,119,104,142,193,207,207,207,202,203,204,204,206,221,222,216,200,178,164,151,173,208,212,210,198,178,164,149,129,108,124,183,207,209,208,207,202,203,204,204,202,214,221,219,206,186,171,161,174,205,208,200,185,165,150,134,114,111,163,204,210,210,209,208,194,195,196,198,195,205,219,213,199,186,174,165,175,196,197,186,170,152,138,120,104,137,196,210,211,210,210,209,144,146,148,151,152,187,219,208,193,186,179,169,175,186,184,171,154,139,127,109,107,161,195,198,199,199,200,203,104,105,106,107,110,169,216,207,197,193,183,172,175,184,180,164,140,125,115,100,104,128,137,140,146,154,171,191,103,103,103,104,106,166,216,209,201,197,187,173,175,185,181,158,126,112,103,97,100,103,111,126,153,173,185,193,104,104,104,104,106,166,219,211,203,201,195,176,169,181,174,143,113,101,97,106,118,135,168,185,189,202,202,190,105,105,105,105,107,165,218,210,204,206,203,177,161,173,161,127,104,94,106,144,175,192,206,198,175,176,194,196,104,105,105,105,109,165,215,206,200,207,205,176,157,168,153,118,97,98,146,197,213,206,196,181,162,151,169,188
20,153,156,158,162,166,168,172,173,177,182,180,180,182,184,187,188,170,190,197,196,194,196,197,196,197,197,199,199,154,159,161,165,167,171,175,176,178,182,183,184,186,184,192,203,129,158,171,186,199,197,198,198,198,199,199,199,156,160,166,168,170,173,175,178,180,182,185,188,189,185,198,210,136,177,145,137,208,198,201,200,199,199,199,199,156,160,165,169,170,174,177,180,181,184,187,187,189,189,202,202,143,203,167,122,204,199,202,202,202,201,202,203,159,162,166,170,172,175,179,181,184,187,187,188,192,189,212,218,157,202,171,122,201,202,202,203,204,203,202,203,159,164,168,171,174,176,179,182,185,186,189,190,193,188,225,216,165,218,180,125,201,205,203,204,203,204,203,205,160,165,169,172,175,178,181,185,186,188,190,191,197,191,224,194,169,221,177,121,200,208,206,206,206,206,206,207,162,166,170,173,175,178,182,186,190,189,198,162,159,203,221,172,167,219,167,118,202,211,209,209,209,209,208,208,161,167,171,174,176,181,184,187,189,196,200,169,105,160,224,165,174,221,158,119,205,211,209,209,210,209,209,210,163,168,172,174,178,183,183,185,185,185,202,172,147,122,149,147,164,204,154,127,210,208,211,210,210,210,210,211,164,168,172,175,179,184,179,213,207,136,173,200,194,171,115,98,125,177,146,130,215,209,212,212,212,212,212,210,164,169,174,176,180,183,189,212,205,163,155,188,207,187,140,83,108,149,128,131,218,210,212,213,213,212,213,212,166,170,176,177,182,184,194,200,172,189,126,82,168,211,175,113,105,124,109,131,222,212,215,214,214,214,215,215,166,171,175,177,182,184,194,208,136,131,113,71,114,222,206,149,93,110,102,126,222,213,216,215,216,215,214,215,166,171,176,179,182,184,194,206,177,158,129,105,117,198,232,180,112,97,95,125,223,214,217,217,218,217,215,215,167,172,177,178,184,184,200,231,189,152,129,121,140,176,246,196,144,98,83,117,224,214,218,218,218,218,217,216,168,173,177,179,185,184,208,223,169,143,135,144,154,209,237,196,159,104,75,118,226,215,218,218,218,218,217,217,168,174,179,181,185,183,212,223,180,155,157,148,180,255,224,182,160,107,70,125,227,216,219,219,219,219,218,219,168,175,181,182,185,183,215,229,186,163,161,161,213,255,224,180,154,116,71,140,228,216,221,221,221,220,219,219,169,177,180,183,187,183,212,235,198,167,161,185,226,239,216,185,153,117,70,156,229,216,221,221,221,220,218,218,170,175,178,181,187,184,212,239,197,184,172,189,238,225,206,183,144,118,73,181,227,217,220,221,220,219,220,220,171,175,180,183,186,186,210,239,204,203,186,187,239,222,201,184,140,109,77,197,226,219,221,220,221,220,219,220,171,177,181,184,186,189,199,235,218,214,208,186,224,211,196,181,145,102,78,196,227,220,221,220,221,221,221,220,171,176,181,182,187,194,192,221,225,219,211,195,203,209,187,181,141,104,82,203,226,221,221,221,220,221,221,220,172,177,180,183,187,194,191,210,229,214,196,189,196,200,179,191,150,101,98,216,222,222,222,222,222,222,222,221,171,177,180,182,187,194,191,210,224,197,187,173,188,198,176,193,151,95,123,228,219,222,222,223,222,222,222,222,171,177,178,183,186,193,194,213,220,192,186,174,186,204,171,188,141,87,161,231,219,223,224,224,223,222,222,222,171,177,180,185,186,194,192,216,233,211,197,184,190,207,160,177,130,88,198,226,221,224,224,223,223,223,223,223
1,227,228,228,229,230,228,229,230,229,226,227,227,225,223,221,218,217,220,216,216,215,213,210,208,216,142,61,54,228,229,231,230,232,232,230,230,229,228,228,228,227,223,223,228,217,190,216,218,216,215,214,209,218,110,56,58,230,231,233,233,234,234,233,232,232,232,229,228,227,228,210,198,225,143,184,228,220,216,216,211,218,91,62,60,232,234,234,235,236,236,235,234,234,234,231,230,229,233,206,121,179,151,139,186,190,223,215,212,218,122,61,47,234,235,237,237,237,237,235,236,237,235,232,227,222,243,203,115,142,145,136,183,127,217,218,213,224,122,55,51,236,237,238,239,240,240,237,236,236,235,236,224,161,181,192,105,164,163,136,193,112,198,224,214,225,132,46,54,237,238,241,242,241,241,240,239,238,235,243,214,132,130,198,107,165,180,114,174,108,189,227,215,224,177,111,127,238,241,242,242,242,242,243,242,241,238,244,205,123,136,189,108,134,156,116,197,118,177,231,218,222,189,196,202,240,242,244,244,244,244,244,243,241,240,252,212,135,125,160,101,133,135,119,204,128,157,234,220,223,190,185,152,241,243,245,245,245,245,245,244,244,242,255,196,131,131,161,104,160,148,115,184,121,153,237,221,223,204,184,129,243,244,247,248,247,247,247,246,245,244,254,194,127,149,181,111,145,150,111,179,120,159,238,224,224,217,196,178,244,246,249,250,249,249,250,248,246,249,255,201,157,122,151,91,117,115,134,195,132,160,238,224,225,223,202,193,245,248,249,249,249,250,249,249,246,253,247,192,137,97,98,83,112,80,134,186,130,151,240,225,226,224,219,188,247,250,251,251,251,251,250,250,248,255,239,192,167,160,140,134,111,114,145,155,104,166,244,226,227,225,225,211,250,251,251,252,252,252,252,253,247,255,253,211,202,170,225,167,165,158,185,150,87,208,239,231,229,227,225,225,250,251,252,254,255,254,254,254,250,255,241,204,173,133,194,195,197,182,173,148,114,227,236,232,230,227,227,224,251,252,254,255,255,255,255,255,255,255,229,175,147,119,98,162,191,167,180,173,118,187,245,232,230,227,226,224,253,254,255,255,255,255,255,255,255,255,237,193,162,117,99,92,129,146,212,202,136,140,248,231,232,229,228,225,255,255,255,255,255,255,255,255,255,255,235,210,157,129,122,94,188,175,184,226,165,104,219,239,232,232,230,227,255,255,255,255,255,255,255,255,255,255,235,213,141,138,108,154,239,216,183,197,177,97,163,249,231,233,230,227,255,255,255,255,255,255,255,255,255,255,243,214,136,143,119,215,241,218,193,161,150,110,135,249,233,234,230,228,255,255,255,255,255,255,255,255,255,255,245,195,148,128,150,245,239,214,176,161,125,92,174,248,233,235,233,228,255,255,255,255,255,255,255,255,255,255,238,190,169,114,177,248,225,200,165,148,122,88,228,243,236,234,231,232,255,255,255,255,255,255,255,255,255,254,231,199,179,117,197,242,210,186,162,139,94,131,254,238,238,235,233,234,255,255,255,255,255,255,255,255,255,248,226,208,185,129,199,226,193,177,157,122,77,209,249,237,236,233,233,231,255,255,255,255,255,255,255,255,253,252,224,215,182,126,187,205,177,161,141,81,134,254,240,238,238,242,245,178,255,255,255,255,255,253,232,255,245,236,227,215,150,121,161,176,154,137,94,98,240,245,245,247,234,212,158,87,255,255,255,255,255,191,89,152,199,203,198,166,114,121,138,150,127,101,71,209,255,245,227,162,107,74,63,73
22,63,66,74,84,93,102,108,111,115,121,125,129,132,134,138,139,140,142,142,141,142,142,140,139,139,139,138,137,63,68,75,87,96,104,110,114,118,123,127,132,135,138,140,142,142,144,145,145,145,145,144,142,143,142,142,140,64,69,75,88,98,107,112,116,121,127,132,136,138,138,142,145,145,146,148,148,147,148,147,147,146,145,145,144,65,70,76,89,99,110,116,117,122,128,135,135,142,142,145,147,148,150,149,152,155,152,151,150,148,151,149,147,66,71,79,91,102,113,118,120,125,131,135,162,117,136,150,149,151,153,157,144,133,158,154,152,153,132,149,150,66,70,79,93,104,114,119,122,127,130,146,191,91,118,156,150,154,154,176,131,76,160,155,165,152,74,123,159,67,70,80,94,105,115,120,123,130,133,150,198,103,111,161,152,156,161,177,106,76,167,158,177,143,67,140,160,67,71,81,96,108,117,121,124,133,136,147,203,125,106,163,157,157,174,177,83,111,172,178,169,97,89,167,156,68,72,82,97,109,119,123,127,135,139,149,209,147,98,162,160,161,169,155,70,137,176,189,156,81,139,168,160,69,72,84,99,110,120,124,128,137,142,148,203,151,91,154,163,167,178,135,59,163,188,162,116,94,169,163,163,69,72,84,99,112,121,127,130,138,146,147,197,174,104,141,167,177,197,118,63,206,202,153,75,133,174,165,165,69,73,85,100,112,123,129,132,139,148,146,193,189,123,130,174,175,184,67,105,226,192,129,79,171,168,170,168,69,73,86,101,113,125,130,133,141,149,149,173,182,110,84,157,163,169,137,188,197,166,82,109,184,170,171,169,72,74,87,102,114,127,131,134,142,149,152,153,181,107,112,165,172,180,201,195,176,118,60,161,178,173,171,171,70,74,88,104,117,127,132,136,141,155,173,120,167,136,140,194,168,188,187,188,151,73,107,189,175,176,172,173,70,74,89,105,117,129,132,137,139,178,183,147,128,134,116,146,167,188,182,162,122,67,150,188,177,178,175,175,71,75,89,105,117,129,134,140,143,174,173,176,164,160,113,53,115,160,157,120,107,64,166,187,181,180,177,176,71,75,91,105,118,130,135,140,143,166,181,152,162,147,106,84,57,69,99,97,84,65,182,186,183,181,180,178,70,76,92,106,122,130,135,141,143,174,173,148,129,118,132,119,91,60,54,49,76,61,180,188,184,182,181,181,71,75,91,108,121,131,137,142,145,169,214,180,124,114,129,139,116,93,86,56,41,52,173,189,185,183,183,183,71,76,91,107,121,132,136,141,148,161,225,170,149,146,175,186,135,110,100,50,29,42,177,189,186,185,183,183,70,76,92,108,122,133,137,141,150,157,222,182,158,185,213,202,154,119,95,48,25,56,191,187,187,186,184,184,70,75,92,108,123,134,137,141,152,155,213,195,160,182,214,177,153,107,87,55,20,82,201,187,188,186,186,185,69,76,92,108,123,133,137,143,153,153,200,208,179,173,214,161,154,134,86,56,18,92,204,188,191,188,186,185,66,74,93,109,123,133,136,143,153,154,182,211,188,157,205,170,148,139,88,48,17,112,204,189,191,189,187,186,64,73,92,108,122,132,134,143,152,161,178,205,191,142,179,164,132,116,70,38,25,153,199,189,190,188,187,186,64,72,92,108,122,132,135,143,154,148,117,181,181,124,127,127,98,78,49,36,53,190,193,190,191,188,187,187,62,70,90,107,122,132,136,141,161,79,0,139,164,104,116,122,105,73,57,31,84,205,191,191,191,189,188,188
3,153,153,154,155,156,156,157,157,156,157,156,156,156,155,154,153,153,152,151,149,148,148,147,145,144,144,142,142,157,157,158,158,160,160,160,159,159,159,159,158,159,157,157,156,156,155,153,152,151,149,147,147,146,145,143,142,161,162,161,162,163,163,163,162,161,163,162,161,161,160,158,164,144,145,158,154,153,151,149,149,148,146,145,144,164,165,165,166,167,166,166,166,166,166,165,165,164,163,161,170,135,115,164,157,156,154,153,152,150,149,147,146,169,169,169,169,169,170,170,169,170,169,169,168,167,166,165,169,140,102,162,161,159,158,158,155,153,152,150,148,172,172,172,173,173,173,172,173,174,173,171,171,170,169,168,170,140,92,160,164,162,160,159,158,155,153,152,150,174,175,175,176,176,176,175,176,176,176,176,174,173,172,171,171,141,92,159,168,165,164,162,161,159,156,155,153,178,178,178,178,179,179,178,178,179,179,179,177,176,176,174,178,151,94,155,172,167,166,164,163,161,159,158,156,181,181,181,182,182,181,181,181,181,182,181,180,179,178,176,181,144,88,158,174,169,169,167,165,163,162,160,159,183,183,183,185,184,185,184,184,183,183,183,182,181,181,179,174,141,98,159,177,171,171,170,168,166,164,162,161,186,187,186,187,187,187,187,187,186,185,185,185,184,183,181,174,144,100,149,182,173,172,172,171,169,167,165,163,188,188,188,188,188,188,187,189,188,188,188,187,186,186,185,187,146,86,140,185,174,175,174,172,170,169,167,165,190,190,190,191,190,190,189,190,190,190,189,191,191,185,171,160,166,122,134,195,178,176,176,174,172,170,169,167,191,192,192,192,193,192,192,192,192,191,192,180,170,184,155,96,149,157,100,150,178,181,176,176,174,172,170,169,192,193,193,193,194,194,194,194,194,192,187,162,113,151,164,110,112,148,96,88,110,174,181,177,176,174,172,170,194,194,192,194,195,195,196,196,196,189,180,164,138,121,168,132,92,136,119,104,87,143,188,178,178,176,174,171,194,195,195,196,197,197,197,198,193,183,143,140,155,121,145,139,87,92,121,109,77,131,191,180,179,177,176,173,196,197,197,197,197,197,198,199,188,178,149,104,135,107,114,145,90,85,118,139,89,115,192,180,181,179,177,175,198,198,198,198,198,199,199,199,191,175,146,99,112,79,106,122,74,94,112,160,114,97,187,182,182,180,178,177,198,199,199,199,199,200,199,200,194,172,160,134,98,86,117,105,78,131,160,158,118,95,190,185,183,181,180,178,199,199,199,200,200,200,201,202,197,174,171,146,111,108,131,119,137,186,164,138,86,142,195,186,185,183,180,179,200,200,201,201,201,202,203,204,200,171,170,153,125,110,135,180,187,176,142,109,92,189,190,187,186,183,181,180,200,201,202,203,203,203,203,204,205,173,157,148,128,115,127,176,168,154,124,84,127,201,188,188,187,185,182,181,199,200,200,201,203,203,203,202,206,186,149,150,135,126,125,163,159,137,102,79,175,196,190,189,188,185,183,180,199,201,200,201,203,203,203,203,203,201,157,148,146,132,113,137,134,111,73,144,200,190,190,187,185,183,186,187,199,201,202,202,203,204,204,203,204,202,175,159,147,121,103,110,106,71,124,203,190,190,189,190,193,189,168,131,201,202,202,203,203,204,204,204,206,191,177,170,147,126,114,109,97,86,192,197,197,197,194,182,144,109,80,66,200,201,202,203,202,204,204,204,206,180,168,174,155,144,127,112,79,126,206,192,173,144,120,95,72,69,65,64
8,181,181,182,185,186,186,186,185,184,183,183,182,182,182,181,179,178,178,177,175,174,174,173,172,170,168,166,166,184,184,185,186,187,186,187,187,186,185,185,184,186,182,181,180,180,179,179,177,176,176,175,173,171,169,167,167,186,186,186,188,188,187,187,187,188,187,186,180,174,184,182,182,181,182,181,179,177,176,175,174,173,170,170,169,186,187,188,190,190,190,189,188,188,186,190,177,122,176,188,184,184,183,181,179,179,179,177,176,175,173,171,170,188,188,190,191,191,190,190,190,190,187,198,163,97,170,190,186,186,183,182,182,181,180,179,179,177,175,172,170,189,190,191,192,193,192,192,193,192,190,202,138,96,185,189,187,186,184,184,183,182,182,181,180,178,176,174,173,190,192,193,194,196,195,194,195,192,197,205,130,109,195,187,189,187,187,186,184,183,183,181,180,179,177,176,175,192,194,193,193,195,196,196,196,191,206,200,121,124,198,188,192,192,185,186,185,184,183,182,182,180,178,177,175,193,194,195,195,196,196,197,196,192,209,187,106,136,201,192,168,168,196,188,185,184,183,182,182,180,178,178,175,194,195,196,197,197,197,197,198,194,215,183,135,152,197,202,171,126,160,185,193,186,184,184,183,182,180,179,177,195,197,196,197,198,198,199,199,197,217,184,163,164,193,195,199,164,125,129,142,190,191,191,186,183,181,180,178,197,197,198,199,199,200,201,200,199,211,191,172,178,210,172,205,189,180,161,94,109,145,138,184,185,181,181,180,198,199,199,199,200,202,202,198,209,207,174,182,196,198,165,152,187,175,161,114,58,68,64,110,194,181,182,181,198,200,201,201,202,202,202,201,208,185,172,176,185,185,152,98,127,196,163,124,66,55,65,68,182,187,184,181,199,201,202,202,203,203,201,212,206,165,151,154,177,171,124,81,62,207,177,131,69,70,75,73,186,186,184,183,200,202,202,203,204,204,202,226,214,182,143,114,168,154,104,78,88,204,187,134,72,60,52,130,197,185,185,183,201,203,203,204,206,202,213,233,207,179,151,122,159,183,163,185,189,177,172,132,85,38,90,193,188,187,186,184,202,205,206,205,207,203,224,226,195,183,156,141,118,198,215,187,191,160,140,132,88,71,186,196,190,190,188,187,203,206,206,207,207,208,231,216,196,185,142,126,170,213,200,165,180,163,114,127,70,134,207,191,193,191,189,186,204,206,207,208,205,213,234,213,198,180,140,168,216,207,190,163,159,158,99,100,58,173,201,193,194,191,190,188,206,206,208,207,210,217,231,217,200,177,158,199,209,199,180,153,145,139,96,68,83,205,196,195,194,192,191,191,207,208,208,212,188,217,230,215,192,173,160,191,191,179,166,140,141,114,80,46,141,209,196,196,195,194,192,189,206,206,214,194,77,120,203,198,170,157,162,168,183,167,150,134,120,86,58,60,195,200,199,196,195,194,192,190,207,208,214,110,71,64,90,167,178,167,162,161,182,160,136,113,82,68,38,136,209,198,200,196,196,194,193,192,205,220,158,66,71,71,63,70,131,161,152,159,170,135,106,86,74,46,90,208,200,201,200,197,196,195,193,193,216,194,84,69,67,63,68,49,32,66,81,121,143,103,73,69,45,74,197,206,202,202,200,199,197,195,194,194,211,114,64,70,64,59,62,65,23,38,39,39,53,60,54,40,97,198,207,201,201,202,200,198,196,194,194,193,141,62,69,66,61,55,58,64,20,27,41,32,24,27,17,78,216,204,202,202,200,201,199,197,196,194,192,191
24,162,165,166,168,170,172,172,173,174,175,175,176,176,177,177,177,177,177,176,176,176,175,176,175,175,174,172,172,164,166,168,171,172,174,175,175,176,177,177,177,178,179,178,178,179,179,178,178,178,177,177,176,177,175,174,174,165,167,170,171,173,176,176,177,178,179,179,180,180,180,179,180,181,181,181,181,179,178,179,179,178,177,175,175,166,168,170,172,174,176,177,179,180,181,181,182,182,182,182,182,183,182,182,182,181,181,181,181,179,179,178,177,167,169,171,174,174,176,180,180,182,183,182,183,183,183,184,185,185,184,185,183,183,184,183,182,182,181,181,179,169,171,173,176,177,182,179,182,183,183,183,183,185,185,186,186,186,187,187,185,183,185,184,184,184,183,182,180,171,173,177,174,192,201,155,182,185,186,185,186,188,188,186,187,187,185,187,188,186,186,186,186,185,184,183,182,173,175,178,178,191,210,153,169,190,187,187,186,189,187,187,189,189,210,201,172,187,188,187,188,187,187,186,184,173,176,179,182,180,209,179,154,190,189,187,195,185,191,218,187,170,226,214,159,155,194,187,188,188,188,187,186,174,177,180,183,181,194,217,173,170,191,197,225,191,192,228,203,155,203,221,170,128,186,191,189,190,188,188,188,176,179,181,183,186,184,217,200,155,179,211,230,214,184,220,216,165,187,221,172,120,176,196,192,191,192,191,175,177,180,183,185,188,185,197,214,196,180,200,230,221,183,202,218,165,166,207,161,113,171,198,194,191,198,184,145,179,181,184,187,188,190,188,211,219,206,204,226,226,192,175,215,175,139,181,148,107,153,206,193,181,188,162,132,180,184,186,187,189,192,191,196,217,209,222,225,219,187,151,196,182,123,145,155,107,113,184,175,183,178,132,160,182,184,186,189,190,192,194,191,211,224,214,204,205,180,146,162,172,128,142,167,117,147,162,185,186,137,148,198,183,185,188,189,192,192,194,193,206,226,198,178,178,195,180,139,183,148,128,173,187,208,195,181,155,136,192,197,184,187,189,191,192,194,196,196,201,224,204,187,182,192,187,165,181,157,160,222,220,204,184,157,129,164,203,195,185,188,190,192,193,196,198,199,199,228,226,203,182,185,203,213,197,199,224,222,209,197,176,144,137,193,200,198,186,188,191,193,194,196,198,200,196,220,230,215,192,183,207,222,229,230,227,219,207,188,167,132,163,207,200,199,187,190,192,194,196,197,199,201,197,214,230,222,208,194,197,223,229,230,224,219,206,180,146,132,195,204,202,200,188,191,192,193,197,199,201,202,201,209,230,228,217,208,201,218,229,230,222,217,199,175,133,160,209,202,203,201,189,191,193,195,198,200,201,203,204,204,225,230,222,211,201,209,222,224,216,203,186,164,138,199,207,204,204,203,189,192,195,197,198,200,202,204,205,203,212,230,221,206,193,201,209,206,196,180,158,128,171,213,206,205,205,205,189,193,195,198,200,202,202,206,208,209,213,230,217,192,178,182,187,192,179,158,124,135,209,206,207,207,207,206,190,193,194,198,199,200,202,169,156,159,167,198,184,180,184,189,200,190,172,146,108,184,223,206,207,206,207,206,190,193,196,198,198,201,205,147,126,128,112,108,107,113,111,114,111,104,104,101,93,134,172,209,208,206,206,205,190,194,197,199,200,201,211,159,129,132,115,104,98,87,80,73,66,65,63,63,67,51,108,216,206,208,209,206,192,194,197,199,200,202,211,169,129,128,114,102,97,90,84,77,71,69,68,66,66,60,178,218,207,209,209,207
6,149,152,155,158,161,164,166,168,170,172,173,173,175,177,178,178,179,178,179,179,179,180,180,179,178,179,177,177,150,153,157,160,162,164,166,169,171,172,174,174,176,177,178,179,179,179,180,180,180,180,180,180,180,180,179,178,150,153,156,159,162,165,167,169,171,172,175,175,176,177,178,180,179,180,181,181,181,181,180,181,180,180,179,178,151,154,157,160,164,166,170,171,172,173,175,176,178,179,179,180,180,181,182,182,181,182,183,181,180,180,180,180,151,156,159,162,164,167,169,171,172,173,175,177,179,180,180,180,182,184,184,183,183,182,182,182,183,181,182,182,152,155,159,162,165,168,170,172,174,173,175,178,180,181,180,181,183,183,184,184,183,185,186,185,185,183,182,182,153,157,159,163,165,167,170,172,174,173,175,174,176,178,175,176,177,182,181,176,175,166,164,174,180,184,183,183,153,157,161,161,167,179,182,172,174,180,184,186,189,192,181,183,184,197,194,182,178,162,149,167,171,155,185,183,153,154,156,174,193,199,191,171,157,165,185,191,193,190,179,175,185,181,178,177,169,157,149,157,150,143,187,183,149,162,185,200,197,194,189,178,142,119,138,144,147,150,150,148,142,137,142,141,139,139,145,152,156,179,186,183,178,201,200,190,191,197,200,181,142,105,96,91,93,113,123,133,154,171,176,178,180,183,185,185,187,186,184,184,202,195,190,193,199,198,180,145,129,111,104,104,96,105,164,190,188,186,186,187,187,187,186,185,185,184,185,184,198,195,196,194,194,184,170,149,122,108,102,111,115,105,110,135,186,188,186,187,186,186,187,186,186,185,184,185,199,198,196,194,195,194,200,176,123,109,95,96,113,117,115,89,117,188,187,187,188,187,186,187,186,187,185,185,194,195,194,192,194,203,199,160,124,112,114,110,103,104,115,113,84,129,193,186,188,188,186,186,186,186,185,184,192,193,190,188,197,204,175,142,125,119,117,119,117,95,93,98,100,103,189,188,188,187,187,186,186,187,185,185,184,185,182,183,190,191,170,141,117,108,116,125,133,113,101,92,89,129,188,184,185,184,183,183,183,183,182,183,186,186,184,182,187,189,180,146,114,94,92,104,136,133,117,102,95,116,126,123,122,122,120,121,119,119,117,117,188,189,191,189,195,194,179,136,113,116,112,108,100,110,118,112,109,99,95,96,97,98,97,94,93,94,92,91,187,186,183,183,193,185,166,133,119,123,121,117,110,102,98,104,106,103,104,104,105,105,104,102,102,102,101,99,179,172,167,173,179,168,155,137,127,126,125,115,107,102,104,109,109,108,105,103,102,102,102,103,102,100,100,98,166,161,156,165,165,151,137,128,119,114,120,118,115,113,109,109,108,109,105,105,104,102,103,103,103,102,102,101,151,149,142,139,135,124,113,108,105,97,100,106,110,111,107,105,107,106,104,104,103,102,102,103,102,101,101,101,131,123,113,109,108,109,110,109,109,109,108,106,108,108,107,107,106,107,105,105,103,103,103,103,102,101,101,96,102,105,107,107,109,110,110,111,109,110,110,109,109,108,108,107,105,106,105,106,103,102,103,102,102,101,95,114,106,109,110,110,110,109,109,109,109,109,109,107,108,108,107,105,104,105,105,104,103,102,103,102,104,95,104,186,110,110,110,111,111,109,109,109,109,109,108,108,108,108,107,106,106,105,105,104,104,104,104,106,104,93,173,190,110,109,110,110,109,109,108,107,108,108,107,108,108,107,107,106,105,104,104,105,104,104,103,109,96,149,199,165
17,148,149,151,152,154,156,158,159,159,160,162,164,164,164,166,167,168,169,170,170,170,171,172,171,171,172,171,172,147,148,151,152,154,157,159,159,160,162,163,164,165,165,166,168,169,171,171,172,172,172,172,172,173,172,172,173,147,149,151,154,157,158,159,160,161,163,163,166,167,167,167,169,170,171,165,158,163,148,165,173,174,173,174,174,149,150,152,155,158,159,160,161,162,164,165,166,166,168,169,171,171,173,167,131,120,110,139,177,175,174,174,174,150,151,154,156,158,160,162,163,164,165,167,168,169,169,171,172,172,175,183,144,99,90,139,178,176,176,176,175,150,152,155,157,159,161,163,164,165,167,167,168,170,170,172,173,173,174,188,155,109,81,149,178,176,177,176,176,151,153,155,157,159,162,163,164,166,166,167,170,170,171,173,174,175,175,190,168,126,91,164,178,177,177,176,176,151,154,156,158,159,161,164,165,167,168,168,170,171,158,159,175,176,176,193,169,133,111,176,179,179,178,178,177,152,156,157,158,160,163,164,166,167,169,168,169,174,158,128,150,177,181,194,165,133,120,178,180,179,179,179,178,152,155,158,159,161,163,164,166,167,167,165,167,178,165,145,131,153,171,188,165,130,117,177,180,180,180,179,179,153,156,158,159,161,164,166,166,172,174,148,133,167,180,178,169,137,113,153,158,134,118,177,181,181,181,180,179,154,156,158,160,164,165,167,167,183,181,146,122,157,165,185,185,157,111,109,136,126,115,176,181,181,181,180,180,153,157,159,162,164,165,167,172,176,161,162,140,140,125,147,193,178,133,94,111,112,109,175,182,182,181,180,180,155,158,159,162,163,165,167,176,181,144,136,125,98,86,97,192,192,153,100,94,97,102,174,183,183,182,181,181,156,158,160,162,164,166,167,180,170,136,121,125,102,99,103,182,201,168,116,90,94,97,170,184,183,183,183,182,156,158,161,164,165,167,167,184,177,158,142,133,117,128,126,172,205,172,131,93,92,96,165,184,183,183,183,183,157,159,162,164,165,167,170,190,170,148,139,131,128,145,155,186,192,172,140,98,87,93,166,185,184,184,184,184,156,159,162,164,166,168,176,187,157,139,133,132,141,151,195,204,176,161,139,97,82,88,167,186,185,184,184,184,157,159,161,165,168,168,182,190,162,145,134,136,145,175,211,201,174,152,131,96,79,89,172,186,186,185,184,184,157,159,162,165,168,168,187,192,167,151,135,139,154,200,203,193,170,145,125,93,80,100,181,185,185,185,184,184,158,160,163,166,168,167,193,191,171,159,142,143,172,211,199,188,163,135,119,90,79,127,187,185,185,185,185,185,158,160,164,167,168,167,199,192,175,167,155,147,183,208,192,185,163,128,111,88,86,161,186,185,186,185,184,184,158,161,165,167,170,169,201,198,180,176,166,153,183,200,185,178,160,126,104,84,108,183,185,186,186,185,185,185,158,162,165,167,169,168,196,202,184,181,170,162,172,194,180,176,154,123,98,82,144,188,186,186,185,185,186,185,158,162,166,168,169,169,188,205,187,177,167,167,167,185,174,179,158,118,96,86,165,188,186,186,186,186,186,186,159,162,165,167,170,171,183,203,185,174,163,165,169,177,169,180,159,118,95,94,177,188,187,187,187,187,186,186,159,162,164,167,170,170,184,199,183,173,163,163,169,175,166,178,151,115,95,119,187,188,187,188,188,187,186,186,158,161,164,167,170,170,187,200,190,175,167,168,172,174,162,173,140,109,93,151,189,187,188,188,187,187,186,186
1,168,167,168,168,169,170,170,169,170,170,169,170,169,169,168,166,166,166,164,161,160,160,159,158,157,155,152,151,172,172,172,172,172,173,173,173,174,174,173,173,172,172,171,171,168,156,166,167,165,164,163,160,159,158,155,153,176,176,176,176,176,177,177,177,178,177,176,177,176,175,172,165,176,122,145,175,168,167,166,164,163,160,158,157,180,180,179,180,180,180,180,180,181,180,180,180,179,179,182,128,159,124,111,150,172,171,168,166,165,163,161,161,184,182,182,182,183,184,184,184,184,184,184,184,184,183,183,114,155,117,68,96,151,176,172,170,168,166,165,162,186,186,186,185,186,186,186,187,186,186,187,187,187,189,173,104,162,103,89,116,125,181,173,172,172,169,167,165,188,189,189,189,189,189,190,190,188,188,189,183,158,187,162,108,176,106,110,128,110,183,176,175,174,172,170,167,193,192,192,192,193,193,194,193,193,192,192,182,120,168,159,124,169,97,123,136,112,185,179,179,176,174,173,171,194,195,194,195,196,194,194,194,195,194,194,179,109,169,135,141,156,93,148,143,112,186,182,181,179,177,176,174,197,197,197,197,197,197,196,196,197,196,199,168,108,173,122,157,157,105,170,134,110,189,183,183,182,180,178,176,199,200,200,200,200,201,200,200,200,200,200,158,104,183,124,159,161,103,167,132,115,192,186,185,184,183,181,178,201,201,201,202,201,202,203,202,201,203,201,140,106,186,111,146,147,89,170,141,124,195,189,187,186,185,183,180,203,203,203,203,203,203,203,204,204,203,202,138,108,174,92,140,135,89,174,133,123,198,192,189,188,187,185,182,205,205,205,205,205,206,206,206,205,206,196,126,114,160,130,156,157,115,131,118,125,200,194,192,190,187,185,184,207,207,208,207,207,207,208,207,207,206,183,151,152,129,139,143,146,139,120,106,103,196,195,194,193,191,189,187,208,208,209,209,208,208,209,209,208,205,190,160,128,112,119,139,151,130,121,133,96,175,201,196,195,192,189,188,209,209,210,210,210,209,210,210,209,208,186,139,105,111,118,152,157,137,171,166,110,144,205,197,195,193,191,189,210,210,211,211,211,210,212,213,210,203,183,135,100,121,129,159,169,180,146,170,143,119,204,199,198,195,194,192,210,211,212,213,213,213,213,214,211,198,190,148,98,111,144,167,177,190,161,154,138,93,195,201,200,197,196,194,213,213,214,214,214,214,214,215,210,193,195,160,113,101,144,172,180,178,161,141,103,76,196,203,201,199,197,194,215,215,215,215,215,215,216,217,212,188,193,163,125,102,138,186,194,188,156,123,83,108,209,204,202,201,199,196,215,215,216,216,216,216,217,218,214,186,180,163,132,114,148,199,192,178,141,108,69,168,211,204,202,201,200,197,215,215,216,216,216,217,217,218,217,192,180,164,142,125,161,194,182,160,124,89,87,208,208,205,203,202,202,199,213,214,216,215,215,216,216,217,219,200,177,172,155,129,161,183,169,140,103,65,141,215,208,206,203,202,201,199,213,214,215,216,216,216,217,217,218,207,179,176,158,135,150,159,141,111,75,74,200,210,207,205,202,201,199,197,215,215,216,216,216,217,217,217,219,206,184,176,157,139,139,142,114,83,60,168,214,209,208,206,203,202,200,197,214,215,216,217,216,216,217,218,219,194,189,177,169,152,132,123,90,60,157,218,211,209,208,207,205,203,204,194,214,215,216,217,216,216,218,219,213,181,194,182,178,149,127,100,64,96,217,214,212,210,208,207,206,190,160,109
15,86,87,87,88,90,92,93,95,97,101,109,119,129,137,144,149,151,153,154,158,162,165,168,169,173,174,176,177,88,88,87,89,90,93,92,95,97,101,109,120,130,138,143,148,151,153,156,159,162,166,169,171,173,175,177,180,90,87,88,88,89,93,93,96,97,102,112,121,129,138,143,149,153,155,158,160,163,166,170,172,173,176,178,180,90,88,87,88,89,92,90,94,99,102,112,122,129,137,144,150,153,156,158,161,165,167,171,173,175,178,181,183,90,87,87,88,87,90,130,112,97,99,112,123,132,138,145,151,154,155,158,160,165,167,171,173,175,179,181,183,89,87,87,88,85,107,191,169,141,122,115,121,129,138,147,152,155,155,157,161,165,169,172,175,178,179,180,182,89,88,87,88,86,97,164,171,156,160,148,144,134,131,137,145,149,154,158,163,168,170,173,175,178,179,181,184,88,88,88,89,89,87,105,133,122,137,148,154,154,150,138,137,135,138,141,145,152,162,170,178,178,181,182,184,88,87,88,88,89,91,91,97,100,113,123,124,143,154,150,145,141,146,150,143,127,121,114,148,183,181,185,186,88,87,88,88,89,91,93,96,96,105,111,109,117,136,136,133,126,141,163,167,148,130,109,87,149,188,184,187,88,88,87,88,89,90,93,96,96,104,116,125,131,132,131,129,115,140,161,165,155,144,134,104,95,166,187,186,89,88,87,88,89,91,92,96,96,104,115,125,134,142,145,145,140,170,166,161,164,159,151,131,106,99,173,190,89,88,88,88,88,91,93,94,98,105,114,126,135,140,150,154,173,190,153,144,174,156,163,155,127,91,102,182,88,88,88,87,89,92,92,95,97,101,140,147,143,142,136,152,183,149,138,115,179,142,171,171,135,105,81,115,87,88,87,88,89,90,91,94,95,102,168,162,164,169,157,128,132,116,89,91,167,129,173,172,137,112,90,78,87,87,87,87,88,90,91,94,96,104,139,142,168,188,169,131,131,129,105,103,141,142,164,165,137,116,93,84,88,87,86,86,86,89,91,93,96,104,116,130,153,174,149,134,150,144,139,140,136,132,121,136,128,111,91,85,85,85,85,85,85,86,87,90,94,103,116,124,136,138,121,135,150,146,147,157,153,130,94,98,108,100,94,89,85,81,83,84,85,86,86,88,92,103,115,124,127,165,141,114,124,144,153,157,153,123,92,90,95,92,95,96,84,81,82,82,84,85,88,89,93,102,115,126,126,184,179,115,62,79,130,144,145,117,93,94,94,93,97,97,84,82,81,81,83,84,87,88,93,104,115,125,129,174,170,110,63,53,70,123,124,101,92,96,96,96,98,98,84,82,81,81,83,84,86,86,92,103,115,125,128,170,169,98,85,87,62,93,120,99,96,99,103,101,99,95,81,80,79,79,82,84,86,84,90,99,113,124,129,163,167,86,122,112,96,98,119,128,116,113,106,102,97,93,79,79,77,77,79,81,83,84,89,99,110,121,126,163,173,74,126,157,91,131,123,123,107,100,96,95,95,94,77,75,74,73,76,76,78,79,83,95,108,118,123,169,161,73,115,180,108,106,160,100,96,90,81,83,85,85,129,125,122,119,116,115,114,114,116,120,127,131,134,152,115,85,142,162,106,121,169,146,158,129,74,68,69,69,110,109,108,107,105,107,109,112,112,110,108,104,103,109,89,96,116,114,104,114,121,123,121,119,91,73,73,81,102,101,100,99,99,99,100,99,99,100,99,94,93,97,101,102,99,98,101,102,99,98,98,99,101,97,102,99
20,149,153,158,161,165,168,170,172,172,175,177,174,172,173,173,169,173,154,167,169,166,165,164,161,159,158,158,156,150,155,161,164,167,170,173,174,176,177,178,178,177,176,174,177,192,106,123,174,169,166,165,163,162,163,160,158,151,157,161,166,169,172,174,176,178,178,180,179,178,178,174,187,193,100,79,142,118,169,167,166,166,164,162,160,155,160,163,167,171,175,176,179,180,181,182,180,180,180,175,192,184,91,85,157,66,153,174,168,167,165,164,163,156,161,166,170,174,177,179,183,184,182,184,185,183,182,177,207,193,95,92,159,71,139,179,170,171,168,166,165,158,164,167,171,175,178,181,184,184,184,185,186,185,185,180,218,185,94,104,160,80,141,182,172,172,170,169,166,160,166,169,173,177,180,183,185,184,187,187,187,187,184,190,208,154,79,140,176,90,132,186,173,174,173,169,168,163,169,173,175,179,182,183,187,186,188,189,188,193,190,203,204,143,58,148,164,82,131,188,175,176,175,173,169,165,170,175,177,180,184,186,190,189,190,192,191,166,148,215,205,134,57,160,155,70,140,189,177,178,177,175,171,166,172,175,178,183,186,188,189,193,194,191,203,160,74,185,178,78,89,190,150,72,152,191,180,179,178,176,174,169,173,177,181,184,187,189,191,195,195,203,219,175,117,122,79,28,114,173,130,65,167,190,181,180,180,178,176,171,175,178,183,186,190,193,194,196,193,159,184,201,160,97,64,44,109,126,89,66,187,186,184,185,183,181,178,172,176,181,186,189,192,195,194,213,206,124,126,208,146,132,122,113,120,81,58,102,202,186,187,186,184,182,179,173,178,184,186,191,194,194,204,232,219,153,131,171,161,155,137,150,133,56,34,147,201,188,188,187,185,183,181,176,180,186,188,193,196,193,220,215,223,153,120,192,173,132,131,133,108,74,26,158,202,190,190,188,186,185,184,177,180,186,190,193,197,196,238,206,191,171,92,152,138,46,51,132,122,98,34,151,206,191,192,190,187,188,185,178,183,188,193,196,196,207,230,182,171,173,67,33,37,9,8,127,167,116,56,82,206,193,193,192,190,187,185,180,185,188,193,197,200,205,243,224,197,154,118,62,10,61,154,167,179,137,79,32,163,203,193,194,192,189,187,180,185,191,194,198,199,209,245,232,194,145,167,85,48,180,220,194,156,130,83,42,147,208,193,194,193,192,186,181,188,193,195,199,201,210,245,235,183,141,125,66,131,224,194,164,148,92,81,45,177,204,196,197,194,192,188,183,188,194,196,200,202,210,243,228,183,178,110,132,231,207,163,131,147,87,51,64,208,198,198,198,196,193,191,185,190,195,198,204,205,209,238,226,195,185,120,182,230,190,163,140,135,108,25,113,218,200,200,200,197,195,192,185,190,195,200,203,205,210,226,221,197,185,127,170,202,173,157,127,111,86,27,181,210,201,202,200,198,196,192,185,192,196,201,201,209,213,225,219,200,176,130,127,159,145,125,99,91,33,101,220,203,205,203,201,199,196,194,184,189,195,197,212,182,56,162,214,195,136,95,98,114,136,111,82,40,40,203,211,206,205,204,202,200,197,194,183,187,191,203,195,66,15,33,137,156,109,102,111,115,142,101,59,22,161,217,203,205,204,203,201,197,195,193,184,189,197,201,78,20,36,23,33,107,130,121,114,115,126,83,24,121,225,206,207,206,204,203,201,198,196,193,184,188,206,105,28,40,21,27,20,29,83,96,101,98,84,49,51,208,213,209,208,206,205,204,202,200,197,195
4,147,148,150,151,151,153,155,157,158,160,160,161,161,163,165,165,166,167,168,169,169,169,169,168,169,170,172,172,147,148,150,152,152,154,155,157,159,160,160,161,163,162,164,166,166,167,168,169,170,170,171,172,172,171,171,173,147,149,151,152,154,155,156,158,159,159,160,162,165,163,161,163,168,167,168,168,169,170,171,173,172,173,173,173,147,149,152,153,154,155,157,158,160,165,162,154,155,175,166,145,141,170,167,172,171,170,172,173,173,172,174,174,148,150,153,155,155,154,155,158,160,168,175,160,121,150,172,139,112,130,148,136,165,173,173,174,174,174,174,175,149,152,153,155,154,156,180,171,154,122,164,160,118,123,163,132,104,109,138,105,128,181,173,174,175,174,174,174,150,152,154,156,151,171,200,179,144,111,147,159,119,107,160,154,101,110,142,114,118,180,173,174,175,175,175,176,150,151,155,157,153,182,173,183,150,115,128,171,131,89,155,166,107,110,160,118,116,183,172,175,176,177,176,177,151,154,155,156,155,190,161,159,169,131,98,169,139,71,122,175,144,123,142,123,123,163,177,175,177,177,177,178,152,154,155,155,160,188,161,146,140,117,81,111,120,71,93,165,151,139,133,136,137,123,174,177,177,177,178,178,153,154,158,154,166,187,166,153,136,121,113,96,117,108,105,141,154,152,141,130,139,135,150,182,176,178,179,180,154,155,158,152,183,185,161,142,136,126,112,116,135,120,128,138,147,142,126,144,166,146,130,180,177,179,179,180,153,155,158,156,192,178,157,138,127,113,110,121,135,128,139,154,140,113,140,179,169,157,125,171,181,179,180,180,154,157,156,163,199,176,158,139,130,118,116,124,131,140,147,160,160,163,161,160,159,152,124,153,185,180,180,180,154,158,155,168,202,177,162,146,129,119,116,126,138,149,152,163,176,175,167,158,145,132,118,127,186,180,180,180,155,158,154,174,205,178,166,152,131,120,121,124,141,155,169,174,177,170,166,155,142,127,109,114,185,181,181,181,157,159,152,179,206,177,169,154,142,130,127,126,149,170,181,180,173,164,160,152,137,124,106,120,187,182,183,182,156,160,153,182,207,183,173,162,153,135,131,144,159,183,186,181,173,162,152,145,131,121,100,153,189,180,183,184,159,161,154,179,208,190,179,170,162,149,139,157,162,179,183,178,172,162,149,135,120,106,113,184,183,182,183,184,159,159,157,172,211,195,184,171,166,157,148,156,165,179,182,174,172,164,148,130,113,96,157,188,182,183,183,184,158,160,159,163,211,199,183,169,163,155,153,158,167,180,180,169,166,164,146,135,106,124,188,182,182,183,183,184,160,160,160,158,209,200,178,173,166,160,161,163,172,176,171,165,157,155,149,132,106,174,187,184,184,183,184,185,159,160,160,159,210,195,178,182,174,169,166,164,170,172,162,158,150,148,144,111,149,190,182,184,184,184,184,185,159,161,159,164,211,187,183,187,179,177,172,164,168,169,160,152,145,137,117,136,187,183,183,184,184,184,185,186,160,161,157,170,210,195,186,183,179,181,176,163,161,163,156,147,136,116,123,187,183,184,184,184,185,185,185,186,159,161,156,177,212,203,183,178,180,185,176,157,155,154,151,140,127,103,168,185,182,183,184,184,185,185,185,186,159,161,156,185,210,203,183,176,181,181,170,155,148,151,147,134,110,124,190,180,182,183,184,184,185,185,185,186,159,162,155,191,211,203,181,175,179,177,166,154,146,154,142,128,101,153,189,182,182,184,185,185,185,185,185,186
23,172,175,178,180,181,182,183,184,185,186,187,186,186,185,186,187,187,187,187,187,187,187,187,187,187,186,186,185,174,176,179,181,182,184,185,186,187,186,186,186,187,187,187,188,187,188,189,188,188,188,188,188,188,187,187,187,177,179,181,183,185,186,187,187,189,189,188,189,189,190,191,186,178,178,184,186,188,191,191,191,190,190,189,188,179,180,183,185,186,188,189,190,190,192,192,192,193,200,203,189,170,162,163,161,180,193,194,193,193,193,192,190,180,182,185,187,189,190,192,192,192,193,194,196,202,203,194,172,155,148,138,138,177,195,195,195,195,195,194,193,182,184,186,188,191,192,193,193,193,194,197,204,198,174,159,145,149,153,154,170,191,196,197,196,197,197,197,196,184,186,188,190,192,193,194,195,196,195,197,198,178,142,136,165,188,192,193,196,198,198,199,198,199,199,199,198,186,188,190,192,194,195,196,196,197,197,198,191,168,142,141,190,199,199,193,186,195,200,201,201,201,201,200,200,188,190,192,194,195,197,197,198,199,199,199,192,172,155,145,190,203,205,186,150,173,200,202,203,203,202,201,201,189,192,194,195,197,198,199,200,201,201,200,198,183,169,167,202,214,208,181,129,147,193,199,204,203,203,202,202,191,193,195,196,198,200,200,201,202,201,201,202,196,199,208,212,206,197,169,112,114,156,174,201,204,204,203,202,191,193,196,197,199,200,201,202,203,202,201,202,205,212,212,205,202,188,149,99,77,113,138,186,205,205,205,204,193,194,197,199,200,201,202,203,204,203,201,202,207,213,211,202,198,177,122,83,61,86,99,134,188,206,207,206,194,195,197,200,201,201,203,204,205,207,206,204,205,208,204,198,193,164,108,76,58,71,81,88,138,199,208,207,195,196,198,200,201,203,204,205,206,210,211,203,202,202,200,194,175,136,98,77,58,63,79,83,112,190,208,208,196,197,199,201,203,204,205,206,206,207,209,203,202,199,187,163,127,98,93,80,59,62,78,87,136,200,209,209,196,198,200,201,204,205,206,207,207,203,205,202,197,183,155,117,79,77,89,75,57,67,83,106,176,210,211,210,196,198,200,202,204,206,206,207,208,203,203,200,194,176,134,91,65,77,77,59,54,71,91,143,202,212,212,211,196,198,200,203,204,205,206,207,208,203,201,198,197,173,118,77,59,63,56,53,61,74,106,180,212,213,213,213,196,198,200,202,203,204,206,207,207,202,199,199,197,165,115,82,56,51,56,66,76,83,135,203,214,214,214,214,196,198,200,202,203,205,206,206,206,202,199,203,199,167,123,91,61,56,74,86,91,96,163,213,215,214,214,214,196,198,201,203,205,206,206,206,206,200,198,206,199,169,130,99,72,64,84,96,97,105,178,215,215,214,214,214,195,198,201,203,205,206,206,207,206,199,195,205,197,169,134,103,81,68,86,98,97,117,192,215,215,214,214,213,196,198,201,203,205,206,207,207,207,197,193,201,193,166,132,103,84,72,85,97,97,139,205,215,215,215,214,214,196,199,201,203,205,207,208,208,207,193,191,198,188,160,129,102,85,75,81,93,108,174,213,215,215,215,215,215,185,188,191,193,196,198,200,202,200,189,197,199,181,154,125,101,86,79,79,100,152,204,215,216,215,215,213,211,134,137,141,144,146,148,151,154,156,178,207,202,177,147,120,100,87,81,85,127,176,193,197,204,206,203,201,199,104,105,107,108,109,110,112,112,118,175,214,203,174,141,118,100,86,83,90,115,138,152,162,180,189,186,188,187
7,153,153,155,156,156,157,156,156,156,156,155,154,154,152,152,151,150,149,147,147,147,146,144,149,116,19,8,20,155,155,157,158,158,158,159,158,157,157,156,155,156,155,157,153,152,151,149,146,149,144,143,149,138,102,79,69,156,157,159,161,161,161,161,160,160,160,158,156,158,149,132,143,147,143,130,131,126,130,153,139,113,67,143,140,158,160,161,163,162,162,163,162,161,159,160,161,163,152,128,134,154,149,128,123,117,121,157,121,102,96,164,105,160,162,162,163,163,163,163,163,167,171,179,179,172,147,136,140,125,114,117,104,105,92,89,112,129,107,100,79,161,163,164,165,166,166,157,163,176,183,183,173,165,157,154,150,125,89,117,127,113,107,96,97,80,104,99,132,163,164,167,165,179,182,167,162,168,171,167,164,163,161,160,144,123,109,117,124,114,114,107,88,67,97,96,105,164,165,168,170,198,189,176,162,163,169,169,167,165,161,158,144,121,106,94,85,78,79,72,66,62,64,82,142,166,168,166,185,202,189,166,143,148,164,168,164,155,140,124,106,90,97,90,93,100,110,113,112,124,133,140,133,169,170,168,199,196,184,152,135,151,145,135,128,114,106,97,84,79,105,174,166,165,166,165,164,160,157,158,119,170,166,182,204,193,179,162,156,147,131,132,137,135,128,123,120,128,70,81,157,164,160,160,158,155,153,153,152,171,168,200,201,196,191,192,176,142,140,145,143,136,122,118,114,107,77,8,77,173,161,162,160,158,156,154,154,166,180,206,201,199,198,199,177,126,127,135,129,123,113,107,98,86,65,21,47,171,163,164,162,160,158,156,154,171,201,205,203,200,196,190,161,131,122,99,79,77,94,106,113,123,98,33,112,171,162,165,163,162,161,158,155,191,207,204,202,200,190,179,161,143,125,105,94,111,144,143,124,129,109,105,179,164,165,165,164,162,161,159,156,202,205,206,202,193,184,173,151,133,142,128,120,138,136,122,112,110,77,105,180,167,167,166,165,163,162,160,158,205,205,203,200,189,173,146,137,155,160,134,125,127,118,113,104,93,47,126,178,169,169,167,165,165,163,161,159,205,204,201,195,180,159,157,169,176,163,142,117,98,83,71,55,50,88,170,172,172,172,169,166,164,164,162,159,204,199,191,183,174,171,174,171,165,149,120,94,61,101,76,90,141,174,175,174,172,171,170,168,165,164,162,161,197,190,182,179,176,180,171,153,149,137,116,77,108,181,180,183,183,176,176,174,171,170,171,170,166,165,164,161,186,179,182,178,172,170,162,148,147,124,75,105,186,180,179,178,177,178,178,175,174,172,171,171,168,167,165,162,177,169,172,171,162,155,149,141,120,74,89,184,181,180,179,178,178,178,177,175,175,174,172,170,169,167,163,159,175,170,164,155,144,139,132,116,72,80,177,184,178,179,179,179,177,178,176,175,173,172,171,170,165,167,168,153,172,163,151,136,121,117,100,63,85,174,186,183,181,181,179,178,177,177,176,175,174,174,170,167,175,143,71,118,152,137,122,103,93,76,52,96,180,187,182,184,183,183,180,179,178,178,176,175,174,171,173,176,153,59,7,14,128,114,104,96,73,72,130,189,186,183,184,184,183,183,181,179,179,178,176,176,181,182,161,103,39,15,11,7,122,119,100,74,72,180,193,183,183,184,184,184,183,183,181,179,180,181,183,173,143,97,42,15,13,17,12,10,143,131,101,60,87,196,182,185,183,183,183,184,183,182,181,178,173,164,123,67,24,2,8,11,7,8,9,9
2,174,177,180,182,182,183,184,185,185,184,184,184,182,182,183,182,182,182,183,180,176,174,173,172,171,169,168,166,177,179,181,182,183,185,186,187,186,187,187,187,189,189,187,185,183,177,169,176,185,178,175,173,171,169,169,167,179,180,183,183,184,185,186,188,187,188,188,175,151,153,160,158,146,139,122,101,137,175,181,178,173,172,170,169,180,182,185,186,186,186,188,188,188,189,189,167,142,140,145,147,139,126,116,90,72,109,138,158,178,173,173,171,180,184,185,186,188,188,190,190,190,193,177,156,159,158,157,153,141,116,95,100,104,100,104,114,179,173,173,171,181,183,185,187,189,190,190,190,192,188,158,149,163,165,154,144,140,117,107,114,129,126,93,103,180,175,173,172,182,184,186,188,189,189,190,191,193,184,166,159,152,138,126,149,159,94,76,96,105,99,90,151,182,176,174,173,184,185,188,189,190,191,192,192,194,185,161,161,153,138,129,126,100,114,167,142,121,129,177,186,177,177,175,174,184,187,187,189,191,192,194,194,192,183,179,167,145,125,99,95,116,180,197,194,193,190,184,183,185,185,180,174,185,187,187,189,193,194,194,193,173,173,169,148,115,59,120,191,196,194,188,187,187,184,188,171,134,118,158,180,185,187,190,190,192,193,195,190,166,163,147,117,69,31,126,208,191,194,193,189,187,190,171,109,79,71,102,181,185,188,190,192,193,195,193,183,158,146,114,69,51,48,115,205,192,195,193,189,193,175,119,87,82,75,98,184,186,190,190,192,194,195,189,182,166,138,78,46,59,51,130,205,191,194,191,194,181,121,93,93,83,65,142,186,187,189,191,192,193,195,189,184,166,136,81,49,61,51,114,212,193,193,195,196,128,77,79,85,70,95,186,178,187,189,193,194,194,195,191,183,162,131,75,53,62,56,54,155,201,202,195,147,94,65,67,71,68,167,185,178,188,190,192,195,195,195,188,182,161,119,70,67,62,57,57,58,103,160,122,87,82,83,67,66,155,190,180,181,188,190,193,195,197,195,188,183,160,118,85,75,61,60,64,68,65,72,67,68,79,78,72,162,194,185,183,181,188,190,194,195,197,195,187,180,160,128,92,73,59,60,61,68,74,78,71,73,81,68,158,195,185,186,184,181,187,190,193,195,196,195,181,173,160,126,96,78,58,59,61,67,73,79,78,72,58,130,203,186,187,186,184,181,187,190,194,195,197,194,178,170,155,124,105,78,56,59,64,68,73,81,86,67,81,190,192,188,186,186,184,182,188,190,194,195,197,193,178,170,151,128,103,76,58,58,65,70,75,80,82,62,162,200,190,190,188,186,186,183,188,191,194,195,198,191,174,177,163,128,101,83,59,57,66,72,77,83,68,84,200,193,194,191,189,187,186,183,188,190,193,195,199,187,173,186,168,126,100,83,61,56,68,74,79,82,52,146,203,192,192,190,189,186,185,183,186,188,191,193,196,183,177,185,160,123,99,86,65,53,70,76,78,59,87,199,193,192,190,188,187,185,183,183,185,187,189,191,195,180,177,178,152,117,96,86,67,55,68,75,66,58,173,199,191,190,189,188,187,185,182,181,185,188,189,190,195,179,175,170,143,114,99,86,69,56,67,68,50,149,202,191,192,190,188,187,186,184,182,180,185,187,188,191,193,176,171,157,132,111,96,82,66,57,59,58,143,204,192,193,191,190,188,188,186,183,182,180,182,185,188,190,190,175,161,150,127,105,93,80,68,54,66,167,202,193,194,192,190,188,186,185,184,182,181,179
13,154,156,160,169,176,180,184,185,188,191,197,199,200,203,206,207,208,209,208,210,211,210,210,209,210,211,210,209,156,159,163,170,177,181,185,187,189,193,197,200,202,205,207,208,210,210,211,213,213,212,212,211,214,214,214,211,159,161,166,173,181,184,186,189,192,196,198,202,205,207,209,210,210,212,213,212,213,213,214,214,215,215,215,214,161,163,169,175,183,186,189,192,194,198,200,203,206,210,210,207,212,207,211,221,221,217,216,217,217,216,215,215,162,165,170,177,183,187,191,194,198,200,202,205,209,210,217,242,239,193,148,188,204,216,223,218,219,219,218,217,164,167,172,180,185,190,193,197,199,202,206,207,211,208,211,232,243,191,127,100,149,152,195,224,218,220,220,220,164,168,175,180,187,191,195,197,200,206,208,214,225,177,156,169,229,197,134,95,163,137,112,225,222,221,220,220,165,169,176,181,188,192,194,200,202,208,197,237,254,214,170,121,185,231,166,99,169,134,111,223,223,223,222,222,165,169,178,183,190,194,197,200,204,224,169,150,240,246,201,128,104,228,173,101,177,147,123,231,223,224,223,223,168,172,178,184,191,195,198,199,235,242,190,124,149,255,219,154,73,124,152,89,208,155,160,235,224,226,225,223,170,173,180,188,192,197,196,231,233,240,221,164,87,222,212,147,79,56,89,89,179,128,184,238,225,227,226,225,171,175,184,190,195,195,216,239,181,214,230,177,82,170,203,133,78,51,99,144,159,129,131,233,229,228,228,228,172,177,187,192,196,198,245,237,189,190,206,152,84,136,201,155,74,89,172,180,150,131,114,186,240,228,230,229,177,181,189,195,196,212,238,208,166,169,186,128,71,103,215,171,81,175,213,185,145,114,121,133,238,230,231,231,177,183,192,199,198,226,250,216,176,147,166,129,66,59,197,152,137,229,207,178,144,119,106,127,239,231,232,232,179,186,196,203,201,231,255,222,192,136,131,121,69,109,206,205,225,218,192,159,137,115,85,178,246,232,235,234,180,188,198,206,203,239,255,232,199,153,125,128,161,212,239,242,234,206,177,149,129,101,101,230,236,235,235,235,182,191,201,208,206,246,255,243,199,174,183,176,192,218,236,231,223,196,166,145,119,82,142,250,233,237,237,237,186,196,205,211,210,247,255,253,212,195,197,168,208,221,230,231,208,181,157,134,111,72,189,249,236,238,237,237,190,201,209,216,216,237,250,255,227,208,200,179,213,234,220,215,189,164,143,125,89,107,247,241,241,240,240,240,194,203,213,219,221,224,252,251,236,215,198,185,203,229,216,190,173,151,138,114,92,219,251,243,243,242,242,242,197,206,214,219,226,222,243,242,238,223,211,197,193,217,211,182,160,139,131,91,192,255,244,246,245,245,242,241,199,209,217,221,228,225,231,249,240,235,229,208,191,208,203,171,137,134,102,150,255,246,249,250,247,244,252,252,201,211,220,226,230,228,223,250,233,227,222,199,184,195,185,159,124,120,110,239,254,250,252,250,249,255,218,155,203,214,223,229,232,232,227,243,205,205,214,202,186,187,173,153,132,97,178,255,252,253,251,253,255,178,81,55,205,215,224,229,234,234,228,251,214,217,226,217,190,175,166,153,132,94,220,255,255,255,255,255,167,73,72,47,206,217,224,229,233,235,224,255,228,230,238,218,195,170,165,152,129,98,238,255,255,255,208,122,65,73,85,49,207,218,225,230,233,239,225,251,247,249,247,219,199,174,163,153,124,100,243,255,255,208,86,64,49,61,83,67
7,199,199,200,199,198,199,199,200,199,198,197,197,193,166,194,190,176,162,154,149,133,121,111,78,61,29,69,172,201,202,202,202,201,201,201,200,200,201,200,198,198,186,191,196,178,157,131,124,105,82,68,48,45,24,82,178,203,203,204,204,204,204,203,204,204,204,202,202,199,188,195,195,184,168,130,102,73,54,41,34,31,33,84,180,205,206,206,207,207,207,207,208,207,205,202,201,207,194,191,194,188,183,179,166,138,98,61,41,46,40,84,182,205,206,206,206,207,207,208,208,207,206,204,208,170,174,197,192,185,187,190,183,186,142,81,59,57,45,86,184,208,207,208,207,207,207,208,208,208,208,210,201,122,140,207,197,189,189,193,180,185,143,61,65,64,55,80,184,209,208,208,210,209,208,209,209,209,206,216,174,139,204,176,190,191,182,193,185,177,124,65,69,70,68,45,98,212,210,211,210,211,212,212,213,213,213,213,172,210,247,186,134,178,179,181,175,159,112,74,72,75,71,36,49,214,212,214,213,214,217,218,210,201,192,193,230,237,226,236,184,138,163,175,169,153,124,88,78,80,71,31,48,213,213,215,217,215,204,187,173,162,147,108,103,132,159,170,162,135,121,139,153,151,130,95,86,85,67,51,136,218,216,206,195,178,166,164,160,157,147,101,72,90,109,113,108,116,116,98,99,115,110,99,96,83,62,84,174,188,176,166,161,162,167,164,158,155,133,97,88,89,97,105,109,113,114,98,83,97,86,95,93,89,69,117,127,166,169,173,171,168,171,170,172,163,142,103,83,92,101,105,103,109,107,91,84,89,89,98,97,128,103,158,92,176,173,174,169,172,177,177,173,166,150,100,73,90,104,117,112,112,108,100,94,87,102,93,92,110,105,100,33,172,173,177,178,175,171,171,164,158,128,85,85,95,99,103,104,104,102,101,91,91,108,97,94,89,104,116,88,183,181,176,176,171,173,172,165,161,126,74,73,72,67,71,76,84,87,81,89,84,91,91,85,84,92,111,96,181,181,175,174,174,177,165,162,176,149,73,58,60,55,88,100,86,136,163,119,120,76,74,90,82,77,67,65,170,173,175,170,169,167,158,167,171,133,77,65,69,65,65,78,89,113,125,100,85,97,101,104,48,59,83,55,162,161,168,165,160,157,155,157,152,111,72,73,73,71,66,63,161,171,104,80,78,109,165,61,9,23,96,108,157,156,155,159,157,154,153,156,155,104,63,52,68,79,65,93,146,77,101,80,76,114,107,13,62,48,85,145,153,155,151,156,156,154,155,154,155,103,59,44,47,65,58,70,87,64,72,69,73,83,78,88,94,82,98,142,155,147,138,140,139,137,140,139,125,91,59,50,60,73,68,66,123,73,126,108,91,77,120,78,58,62,97,136,136,139,125,112,107,106,105,99,75,67,66,111,105,83,99,76,101,104,140,68,55,41,118,91,67,78,67,101,115,121,107,93,84,89,90,88,117,174,175,178,140,108,101,95,62,61,118,50,71,37,64,112,64,84,58,71,105,106,122,131,138,145,184,158,168,177,180,145,164,191,190,100,74,59,87,90,62,51,113,69,65,86,56,68,153,106,207,232,209,174,209,115,171,149,173,185,176,173,196,141,55,114,74,73,49,106,199,104,64,86,66,63,155,114,173,205,207,189,190,95,157,126,162,179,173,174,177,165,115,163,156,98,25,133,182,119,111,158,96,59,123,131,190,209,216,218,188,140,90,110,164,170,162,139,151,160,170,151,171,125,36,126,153,111,148,178,137,72
13,193,197,199,200,202,204,206,207,207,208,209,209,210,209,209,209,209,207,207,207,205,204,203,203,203,200,199,198,195,198,199,201,203,205,206,207,208,209,210,211,211,211,212,211,210,210,210,208,207,206,206,205,204,202,201,199,196,198,201,202,203,206,208,209,210,212,212,212,212,212,212,212,212,212,212,211,209,209,208,207,206,204,203,202,197,200,203,203,204,206,209,211,212,213,213,215,215,215,214,212,213,216,215,212,212,211,210,209,207,207,205,204,198,201,203,204,205,208,210,212,213,214,214,216,217,210,213,219,215,211,215,216,211,212,211,210,209,208,206,204,198,202,203,204,207,209,212,213,214,215,215,217,207,175,149,199,210,170,147,191,220,212,212,211,211,209,208,206,200,203,204,205,208,210,212,213,215,217,215,221,215,184,156,136,175,169,126,124,220,214,215,213,212,211,209,206,201,203,205,206,209,212,214,215,216,218,218,221,231,195,175,121,146,178,145,102,198,221,216,215,214,213,210,209,202,205,206,207,210,212,215,217,217,219,219,218,228,199,165,122,126,169,143,96,184,225,215,216,216,214,212,211,202,205,207,208,211,213,215,218,219,220,224,225,220,198,161,127,110,141,128,92,182,225,215,216,215,214,213,211,202,207,208,209,211,214,217,219,219,215,189,202,200,195,163,138,109,143,134,95,198,225,218,218,216,215,213,212,202,205,208,210,212,216,218,219,222,200,151,135,141,181,199,161,119,148,150,99,196,228,218,218,218,217,214,214,203,207,209,211,213,216,219,220,231,195,157,146,117,165,221,174,120,131,143,93,141,232,218,219,219,218,216,215,204,208,210,212,215,216,217,206,172,186,175,163,127,98,172,143,113,124,121,112,105,197,229,218,219,218,217,215,204,208,210,212,215,213,224,193,139,140,190,167,150,93,72,82,97,129,128,134,122,135,230,221,220,218,218,217,205,209,211,212,213,226,228,176,155,134,166,174,149,126,73,93,109,116,155,154,143,105,200,228,220,219,219,217,205,208,212,213,217,229,192,182,170,154,132,171,155,138,88,94,153,161,165,155,144,104,180,232,220,220,219,218,205,209,213,214,217,234,192,169,167,152,132,146,149,118,90,98,176,191,186,146,132,104,194,231,220,220,218,218,206,210,212,215,220,225,192,152,144,142,119,95,122,111,101,116,191,188,181,154,121,107,218,227,223,221,220,219,207,210,213,214,218,219,210,187,149,118,97,80,110,133,117,161,209,185,173,149,106,127,233,224,225,223,221,219,207,211,214,214,216,219,217,198,170,148,135,131,132,142,151,211,205,177,158,144,98,156,239,225,226,223,222,220,208,213,213,215,218,217,213,204,183,168,146,144,161,197,208,209,191,170,150,136,95,186,236,225,227,224,222,220,209,212,213,216,218,220,209,193,179,161,144,146,156,209,205,194,179,160,143,122,98,213,232,226,226,225,222,220,209,213,214,216,218,222,203,183,180,163,150,153,153,194,200,191,170,149,134,109,114,233,228,227,226,224,223,221,210,213,214,217,218,224,213,189,180,166,160,156,154,189,197,186,163,137,126,88,158,241,227,227,226,225,223,222,209,212,212,215,218,222,226,197,179,176,163,150,146,172,185,172,148,123,106,97,220,233,228,227,226,224,223,222,208,212,213,215,218,220,225,219,188,174,158,150,143,156,171,162,137,121,88,153,242,228,229,227,226,224,224,224,207,211,212,214,218,220,222,225,207,177,159,147,146,151,164,159,136,120,92,201,235,228,227,226,225,224,222,221
2,125,126,128,129,131,133,133,134,134,134,133,134,133,133,131,127,128,129,128,129,128,127,126,125,125,124,122,121,127,128,130,131,133,134,134,135,135,135,134,135,134,130,134,148,158,150,131,124,125,128,129,127,126,126,125,123,128,128,130,134,134,134,135,136,136,136,137,133,136,153,175,178,164,155,154,109,88,85,109,128,126,126,126,124,129,130,132,133,135,136,136,136,137,138,134,145,185,174,174,173,148,118,108,80,54,56,49,112,132,127,126,126,131,132,134,134,136,138,139,139,138,140,130,177,183,168,174,138,95,69,64,56,53,56,39,94,135,126,127,128,131,133,135,136,137,138,139,140,140,137,140,194,182,170,125,82,49,41,47,46,55,56,77,123,132,129,129,128,133,134,135,137,139,140,140,142,141,134,157,202,179,116,67,50,38,50,54,89,123,122,133,134,133,131,129,130,134,135,136,140,140,141,142,143,145,135,167,198,155,81,42,48,47,53,105,139,138,137,135,134,132,132,132,131,135,136,139,140,140,142,142,143,145,138,190,185,117,54,33,41,43,59,142,136,135,135,135,134,133,133,132,131,136,138,139,140,142,143,143,146,139,161,200,140,71,34,32,28,41,64,140,138,138,137,136,135,135,134,132,132,136,138,140,141,143,144,144,145,145,197,175,106,57,43,47,39,31,80,147,138,139,138,137,136,136,135,133,133,136,139,141,143,145,145,148,140,183,206,152,99,67,59,56,53,38,98,149,139,140,139,137,137,137,136,134,134,138,140,142,144,147,147,147,149,212,194,137,88,63,66,58,57,47,104,150,139,141,140,138,137,138,138,134,133,140,142,143,145,147,148,144,166,219,177,117,77,66,65,56,60,52,108,151,141,142,141,141,139,138,140,139,135,141,143,144,147,148,152,142,188,214,163,105,70,62,59,55,61,53,115,152,142,143,143,143,143,141,132,121,130,142,143,145,148,150,151,148,212,203,150,100,68,58,59,59,62,48,112,153,143,144,143,144,141,124,123,88,91,143,145,147,149,153,144,174,223,185,140,93,64,55,56,55,55,42,85,157,145,146,146,143,120,129,110,73,128,145,147,149,150,154,147,205,213,174,132,90,61,52,51,50,57,50,54,148,149,147,149,115,117,126,72,107,146,146,148,150,153,148,166,222,199,164,125,84,59,50,46,53,61,61,44,104,161,147,111,104,123,90,71,141,140,147,149,150,155,148,189,218,188,154,118,82,57,48,49,54,58,62,56,52,93,103,100,115,106,71,91,148,140,148,149,151,154,151,206,208,179,151,116,79,58,47,56,56,52,57,59,55,57,93,122,112,84,80,130,145,142,149,151,154,152,163,211,197,175,151,111,81,63,52,64,62,61,65,66,63,78,111,120,99,85,135,148,144,143,150,151,155,150,186,209,192,181,155,117,92,68,57,72,76,80,78,78,71,82,113,95,88,138,152,148,145,143,150,153,154,154,207,209,195,181,158,124,98,73,63,80,87,92,80,76,74,81,84,94,144,152,149,150,146,144,152,154,153,166,213,205,193,177,144,111,95,78,69,82,91,91,83,76,70,73,93,147,155,151,150,148,148,146,151,157,147,185,207,198,188,159,120,93,84,77,76,87,88,85,81,67,93,136,152,155,152,151,150,150,147,144,153,151,169,208,195,182,161,126,94,87,83,75,77,81,80,78,69,102,156,159,154,154,153,150,150,150,147,144,151,159,212,196,177,164,141,98,89,90,84,80,78,74,73,79,120,160,159,155,155,155,152,152,151,150,148,146
12,188,189,191,193,193,194,194,195,200,201,199,203,206,203,202,204,206,206,206,207,205,206,205,205,205,205,206,207,189,191,192,193,194,195,195,197,200,196,201,194,188,205,207,198,186,195,207,205,206,208,208,206,206,206,207,207,191,191,192,194,195,196,196,200,197,221,224,184,148,152,222,196,166,140,200,213,210,209,209,208,207,206,207,207,191,193,193,194,196,197,201,194,219,255,231,177,161,127,212,189,170,142,147,172,183,208,208,207,208,208,209,208,190,193,193,195,196,197,199,196,239,222,223,193,195,132,185,206,184,145,119,155,135,147,212,209,211,211,211,210,192,193,195,196,197,199,198,204,250,196,205,209,186,136,172,217,191,137,130,168,151,104,187,219,210,211,212,211,194,195,196,198,201,201,199,214,255,194,210,185,154,114,102,180,155,120,144,184,160,118,182,219,210,212,212,210,194,196,198,200,199,203,193,186,225,151,199,191,165,122,80,112,105,89,200,201,158,119,200,215,212,214,213,211,195,196,199,197,204,227,197,164,148,133,165,196,187,187,166,157,139,97,168,172,131,118,214,213,214,214,213,212,196,199,201,194,237,244,207,181,137,136,161,169,167,187,192,191,191,144,94,105,105,140,224,214,214,214,212,211,197,202,194,219,244,237,222,190,151,137,172,156,129,154,159,193,216,184,134,84,91,172,226,214,214,213,212,212,198,202,194,249,221,221,228,198,160,132,132,144,124,127,137,208,219,208,182,115,90,197,222,216,215,214,213,212,198,195,217,243,190,177,216,202,172,145,121,133,123,140,163,205,214,216,206,156,108,210,219,218,215,215,214,213,198,194,234,230,207,182,176,209,178,144,122,134,122,136,148,194,221,209,211,187,128,212,220,217,215,216,215,215,198,195,244,237,217,185,144,194,187,144,124,121,124,139,165,181,197,215,194,200,140,187,226,214,218,217,217,217,197,198,238,207,176,153,126,143,201,160,150,113,137,140,187,215,201,201,188,178,157,145,227,217,218,218,219,219,197,200,248,221,198,174,153,133,176,186,186,136,145,165,216,221,217,198,178,164,154,130,225,219,219,219,218,218,201,201,253,232,202,180,167,145,140,171,163,150,161,208,233,223,217,197,177,157,133,147,228,218,220,219,219,219,202,203,255,234,208,190,175,147,143,172,140,154,191,232,234,223,213,196,180,157,120,165,231,218,220,220,219,219,201,207,255,237,214,199,184,155,147,182,160,185,225,245,233,220,207,194,179,156,113,180,230,219,220,220,219,219,200,212,255,237,214,204,191,172,151,174,179,201,243,246,233,217,201,192,176,150,110,198,226,220,220,220,219,219,197,215,255,239,221,209,193,187,164,170,192,202,251,240,227,213,200,191,169,142,118,214,225,221,221,221,220,220,199,212,255,243,231,212,199,192,180,166,199,201,252,235,218,211,200,188,166,132,129,223,220,221,222,222,220,220,204,205,250,249,238,220,206,200,192,170,196,202,246,232,208,203,198,183,163,123,152,231,219,222,222,221,220,220,205,201,240,254,237,224,211,207,195,175,183,199,238,228,205,200,195,173,158,113,184,229,219,223,224,222,221,221,205,199,231,255,239,229,217,208,194,180,179,185,226,225,202,196,189,173,150,117,210,225,222,222,224,223,222,222,205,200,220,255,244,229,217,203,188,182,182,180,209,216,191,187,185,176,132,139,229,219,223,223,223,222,222,221,204,199,223,255,239,220,212,199,186,177,182,182,198,204,186,181,185,169,117,178,232,220,223,224,222,222,223,221
7,195,197,199,201,203,203,205,205,206,206,206,206,206,206,205,204,205,202,203,203,200,199,200,198,195,196,195,194,197,199,200,203,205,207,207,207,206,207,206,207,206,205,206,206,205,203,204,203,202,201,200,198,197,197,196,194,197,199,202,205,206,207,209,209,210,210,208,208,208,207,206,207,207,205,205,203,204,203,202,200,200,199,198,196,200,201,203,205,207,208,209,210,210,210,210,210,210,210,209,208,206,206,207,205,205,204,203,202,201,199,199,198,201,203,205,207,209,209,209,211,211,211,211,211,210,209,210,210,209,209,207,206,205,205,205,203,202,200,201,199,201,205,207,208,209,210,211,211,211,211,211,212,211,210,210,209,211,211,210,210,209,206,203,205,203,203,202,199,203,205,207,211,211,210,212,213,213,213,213,213,213,214,214,213,211,208,204,199,181,191,205,192,206,204,203,201,205,205,207,211,211,213,214,217,217,218,215,210,206,199,192,190,190,181,175,175,155,192,212,165,201,203,206,203,205,206,209,210,212,215,212,204,196,197,196,188,175,161,153,168,185,181,167,160,150,155,170,150,198,203,190,206,206,209,209,212,215,207,196,176,169,167,165,172,168,163,149,145,150,137,142,148,145,144,156,166,215,214,146,203,208,210,210,211,210,200,185,174,174,166,156,157,165,162,140,136,131,156,175,191,172,169,167,167,170,164,154,208,207,209,208,201,192,188,187,184,171,137,132,154,175,170,157,154,143,159,174,177,160,147,133,127,135,166,203,210,206,202,197,192,189,188,181,184,169,123,126,139,147,144,141,146,134,130,141,127,124,127,155,186,206,214,210,209,200,196,194,194,194,181,173,173,172,151,118,102,93,92,94,107,107,117,136,161,187,207,220,217,213,210,210,209,198,196,193,188,182,177,175,174,178,170,131,98,76,103,154,159,178,195,218,225,221,217,213,213,211,211,211,210,196,191,184,179,175,171,169,169,167,150,128,104,93,105,207,235,226,225,220,216,216,216,215,214,214,213,212,210,192,183,177,170,165,161,157,153,151,142,118,95,97,95,91,203,226,219,220,218,218,217,217,216,215,214,214,212,182,184,170,167,157,156,153,149,148,144,120,90,92,113,87,124,234,220,222,220,220,218,217,217,215,215,215,214,95,154,173,167,160,155,153,154,156,154,122,89,85,105,100,123,231,223,223,222,221,221,219,218,216,215,216,213,65,73,146,174,165,159,151,145,143,133,113,96,91,82,75,151,237,223,224,222,221,222,221,219,217,216,216,215,69,61,71,152,171,161,153,141,129,118,107,104,100,85,80,101,223,227,225,223,223,222,220,219,218,217,216,215,63,65,54,83,154,147,139,130,123,111,104,103,103,92,80,107,224,227,225,224,224,223,222,220,219,218,217,216,61,57,59,55,97,128,116,104,102,79,82,100,94,106,166,200,231,225,224,225,224,223,223,221,221,220,217,217,55,54,57,58,48,58,100,145,76,69,79,88,102,201,244,231,228,228,226,224,226,223,223,222,221,220,218,217,47,50,55,63,37,56,201,207,68,76,87,132,209,237,228,229,228,229,228,225,226,225,223,222,222,221,220,218,49,46,62,52,70,209,239,229,174,168,201,234,235,229,231,230,228,228,228,226,224,225,224,223,223,221,221,217,75,61,50,78,218,233,226,230,237,238,236,229,228,229,229,229,229,229,228,225,225,223,223,223,222,221,219,217,61,58,39,147,241,223,229,229,228,228,229,229,229,229,229,229,229,229,228,225,225,224,223,223,221,221,219,217
8,175,177,175,176,178,178,179,178,177,179,179,177,180,181,179,179,180,179,178,177,175,175,174,175,173,172,172,171,176,177,177,180,181,180,180,181,180,180,180,180,161,169,184,182,182,182,181,181,179,177,177,176,174,173,173,172,180,179,180,181,182,181,182,183,181,182,178,196,140,119,192,182,184,183,183,182,182,181,180,178,178,176,175,175,181,181,182,183,183,184,183,182,184,183,183,200,115,117,196,183,185,187,185,184,183,183,183,181,180,179,178,177,183,183,184,183,186,186,185,184,186,182,195,194,81,137,196,184,186,188,187,184,185,184,183,182,181,180,179,177,184,184,185,185,188,188,187,187,189,184,204,191,71,153,196,188,189,189,188,187,188,185,184,184,183,182,181,180,184,186,187,188,188,188,188,189,190,184,211,173,76,175,196,189,189,190,189,189,189,189,187,187,184,183,183,183,187,187,187,189,189,188,189,190,190,188,214,139,85,190,189,192,195,189,196,194,186,189,189,190,189,184,185,185,188,188,189,190,190,190,190,190,189,196,209,135,87,205,186,138,168,194,157,175,199,191,195,181,181,188,187,187,189,190,191,191,191,191,191,192,187,204,206,146,98,228,200,137,111,191,123,103,136,140,166,155,97,183,189,186,190,190,191,191,191,191,191,194,188,210,204,142,143,244,209,171,94,162,150,94,75,116,146,149,46,174,194,186,190,190,192,192,192,192,193,193,191,212,198,143,178,242,225,187,88,129,154,96,153,127,162,166,53,172,194,187,189,190,192,192,192,192,193,191,200,200,180,174,178,211,232,184,95,106,137,112,176,122,167,184,95,152,203,187,188,189,191,191,192,192,194,193,207,167,174,187,172,164,231,190,104,76,116,140,161,110,158,184,142,102,197,192,188,189,191,190,192,192,193,194,210,153,146,177,153,156,214,200,110,49,93,152,148,79,135,189,135,64,179,197,190,190,191,191,192,193,191,196,220,151,109,141,132,120,192,199,100,39,82,153,134,64,154,171,91,88,199,189,190,191,191,192,192,193,191,203,232,166,94,111,100,94,144,193,134,36,70,166,121,80,166,122,57,155,202,190,190,192,192,192,192,194,192,214,231,190,92,99,98,95,126,178,156,37,65,147,92,136,130,67,84,200,191,191,190,191,191,192,193,195,196,218,227,204,110,77,99,90,116,165,104,68,151,162,142,172,108,41,151,202,192,194,190,190,191,192,192,193,194,222,225,215,116,83,112,94,142,194,171,186,182,163,134,138,103,43,184,199,194,195,189,193,196,199,201,201,198,221,226,210,115,97,112,113,187,210,210,202,176,162,119,95,67,84,204,195,196,198,98,103,109,111,115,111,141,227,221,202,121,131,105,149,219,217,213,205,182,150,106,69,42,155,205,194,189,184,57,56,58,57,57,48,83,234,222,201,149,140,114,152,225,224,218,192,170,129,89,56,52,81,81,88,121,167,69,69,69,71,70,69,75,217,224,208,163,142,135,141,226,229,201,170,152,104,70,49,52,70,113,164,196,199,70,69,68,69,68,70,61,199,222,199,160,143,137,144,231,214,185,150,122,82,50,73,143,186,211,207,208,200,70,68,66,68,71,71,67,202,207,180,156,143,131,165,220,188,166,120,92,65,34,185,232,183,172,176,181,196,67,67,67,68,68,65,85,213,194,171,153,146,140,174,184,171,142,97,88,47,82,189,208,210,181,159,167,169,67,68,67,66,71,58,103,220,183,167,158,150,150,169,169,159,125,87,79,57,165,173,157,187,199,164,124,119
11,135,139,141,144,146,148,150,151,152,153,152,152,152,152,152,153,152,151,151,149,149,147,147,145,143,141,140,138,137,139,143,146,147,150,152,153,154,154,154,155,153,155,155,153,153,152,152,151,150,148,147,146,145,143,142,143,139,142,145,147,149,152,153,155,157,156,156,156,161,134,147,157,153,154,153,152,150,151,149,148,147,144,146,123,142,145,147,150,152,154,155,157,159,159,160,153,182,126,113,165,155,156,155,153,153,153,151,149,148,147,147,65,145,149,150,152,155,157,158,160,161,161,162,155,191,135,98,168,157,159,158,156,156,154,153,151,149,155,114,39,147,152,153,155,158,160,160,162,164,164,164,158,200,125,96,170,160,160,159,158,158,157,154,153,151,157,81,43,149,152,155,159,161,163,164,166,167,170,162,170,220,115,109,173,162,163,162,161,159,157,157,156,157,153,66,48,152,156,159,161,163,165,166,166,168,160,176,165,196,112,123,177,164,166,165,163,163,161,160,160,159,159,91,60,153,158,161,163,165,169,164,190,179,103,159,135,90,134,97,156,173,168,168,166,165,163,163,162,159,167,114,60,157,159,163,165,169,165,188,213,188,145,87,116,78,101,83,128,181,168,169,169,168,165,166,166,163,167,138,58,158,162,165,168,168,182,225,171,176,175,101,89,85,111,92,134,181,171,171,171,170,170,168,166,166,165,164,80,160,164,167,167,175,217,197,131,127,170,99,81,78,113,93,138,183,173,174,173,173,173,169,168,168,166,169,124,162,165,169,165,202,217,161,123,142,154,69,86,78,105,88,149,185,177,177,176,175,174,172,172,170,168,170,146,164,167,171,167,215,206,146,98,121,125,65,89,75,100,80,167,184,179,178,178,177,175,173,172,172,170,172,138,165,168,173,168,218,210,164,116,74,77,90,70,82,97,90,186,180,181,179,178,180,179,177,177,174,172,173,161,166,169,173,173,227,209,156,105,68,53,102,62,108,102,67,171,190,182,185,185,178,170,164,163,174,179,173,171,167,171,173,180,234,206,154,111,79,60,72,57,108,94,49,89,179,181,166,144,131,124,120,108,99,148,179,171,170,175,173,187,234,201,158,123,88,71,74,75,92,94,92,90,98,113,116,131,138,120,97,94,76,116,184,172,171,176,175,187,229,197,158,125,95,75,78,116,140,141,129,119,101,108,125,121,100,87,115,159,169,172,178,175,173,177,177,190,228,200,166,131,101,80,89,137,137,127,121,118,103,93,87,97,134,160,187,189,185,181,178,177,174,179,178,195,226,204,175,135,112,90,103,132,131,122,108,104,81,74,127,184,193,191,186,184,183,181,179,177,175,182,175,209,229,205,173,133,114,97,104,116,121,112,95,77,100,168,198,192,187,187,187,186,185,183,180,179,178,178,182,227,219,191,156,121,104,96,104,103,109,103,73,127,196,197,191,192,191,190,188,186,187,185,182,180,179,178,218,228,206,179,144,115,99,100,103,95,89,79,140,205,195,193,193,194,192,191,189,188,187,186,184,182,174,191,233,217,193,171,140,119,105,99,97,78,109,175,205,197,195,195,194,193,192,192,191,190,187,186,185,183,173,204,230,211,169,140,131,117,102,93,72,102,198,205,198,198,197,196,195,195,194,192,192,191,190,188,187,184,177,216,228,203,148,119,113,107,92,79,83,184,204,198,201,200,198,197,196,195,195,193,192,191,191,189,186,185,191,225,224,190,126,112,107,98,83,70,154,211,202,204,202,201,199,199,197,196,195,195,194,193,191,189,188,186
18,188,189,190,191,192,193,194,194,194,195,195,195,194,194,194,193,191,191,193,191,190,189,189,189,188,187,186,184,190,192,193,193,193,194,196,196,196,196,196,196,196,194,195,194,193,193,193,192,193,191,190,190,190,188,187,186,190,194,195,195,195,195,197,198,197,198,197,197,196,196,196,196,196,195,193,196,195,192,190,191,190,189,188,188,191,194,196,197,196,196,198,198,198,199,200,198,198,198,198,197,197,194,199,181,185,195,193,193,191,191,190,189,194,196,197,197,197,198,199,201,200,201,201,200,201,202,200,198,197,200,224,151,147,203,193,194,193,192,191,190,196,197,198,198,199,200,201,202,201,202,202,201,199,197,199,203,190,206,231,157,110,201,195,196,194,195,193,192,197,198,199,200,201,203,203,203,202,203,202,205,212,175,146,173,155,171,233,189,107,151,208,194,196,197,195,194,198,200,201,202,203,204,204,206,205,205,204,204,214,204,161,132,139,182,232,197,135,98,180,203,195,197,196,195,199,201,201,203,204,205,207,207,206,205,210,182,139,171,188,145,113,142,204,201,158,136,110,184,204,198,198,196,201,202,203,204,206,207,208,206,210,224,213,186,149,106,175,158,115,94,122,177,171,146,108,123,211,196,199,197,201,203,204,206,207,207,208,205,234,231,229,191,163,114,126,151,106,83,82,172,191,150,119,117,210,198,200,199,202,204,206,207,208,210,206,222,222,211,231,193,167,123,92,112,100,79,78,183,198,169,118,120,211,200,201,200,202,205,208,208,210,209,213,245,224,195,207,185,163,119,88,98,89,80,75,158,196,179,121,111,211,203,203,201,205,207,209,210,210,211,231,222,196,196,199,146,126,105,93,123,75,73,86,167,196,180,125,110,212,202,204,203,206,208,210,212,208,221,245,219,181,164,174,116,110,93,117,119,101,147,150,165,187,163,118,107,212,204,204,204,207,209,210,211,210,223,248,229,207,156,133,149,114,55,124,164,193,194,189,149,149,146,122,97,204,208,206,204,208,210,211,214,210,234,246,234,210,167,137,146,96,77,208,220,209,185,171,155,121,138,126,93,199,211,207,207,209,210,212,214,214,241,245,226,184,165,152,137,105,186,233,216,205,181,151,155,123,122,111,103,212,208,208,207,210,211,213,213,219,243,243,217,186,177,144,113,167,226,220,210,193,174,154,145,129,114,88,154,219,208,208,207,209,212,214,213,223,244,241,213,186,185,142,151,204,229,214,201,190,175,148,138,125,102,94,207,212,211,209,209,210,211,214,215,225,242,235,214,198,196,142,182,198,219,208,192,185,165,136,129,117,82,139,221,209,211,209,209,211,213,215,214,225,238,232,217,209,179,149,157,196,197,196,184,174,151,131,119,104,84,198,217,211,211,210,210,211,214,215,214,225,239,230,225,206,165,133,154,181,186,182,178,161,141,121,111,77,143,224,211,214,212,211,211,213,215,216,215,229,228,223,218,182,140,132,166,173,183,176,165,149,126,108,86,99,213,215,215,216,214,213,212,212,212,216,216,233,225,220,206,182,162,160,165,176,179,170,151,137,118,95,80,193,221,214,217,216,215,213,212,218,223,217,218,241,236,235,220,209,191,172,152,172,176,158,134,122,105,74,169,226,215,217,216,215,215,214,213,188,173,212,231,242,234,233,220,199,180,168,144,162,167,142,125,113,81,154,227,217,218,217,217,216,215,215,214,127,93,104,195,236,232,228,214,191,165,160,145,158,152,131,119,87,133,230,219,220,219,219,218,217,217,216,215
16,235,236,238,239,239,238,240,240,241,240,239,241,242,241,241,240,241,241,243,244,242,241,243,243,243,243,243,240,237,237,238,239,240,240,241,243,241,241,240,243,244,241,245,247,247,246,242,244,243,243,244,244,243,243,243,241,238,238,239,241,242,240,240,242,242,244,245,245,242,242,221,216,212,229,254,247,244,244,244,243,243,244,243,242,238,239,239,241,242,242,242,242,242,240,233,227,244,255,212,189,180,154,182,239,252,245,244,244,244,245,244,243,238,239,240,242,242,244,244,244,245,239,215,220,255,255,231,212,196,162,121,130,193,246,250,243,245,245,244,244,238,240,242,243,244,242,238,225,255,255,224,238,255,250,235,224,198,147,142,122,112,147,233,253,243,246,245,245,241,242,241,243,241,255,237,230,255,251,232,242,255,235,223,214,190,130,142,131,124,115,133,231,254,246,247,246,242,242,243,244,240,255,253,232,248,246,243,235,251,220,216,203,174,129,130,122,124,127,113,126,241,250,247,247,241,241,243,242,241,250,248,230,244,253,250,240,248,224,214,195,156,125,119,115,120,125,126,103,159,255,248,249,239,241,242,244,251,240,247,247,238,252,252,243,255,239,217,184,144,119,108,112,121,124,120,118,111,236,254,248,240,241,239,252,251,238,248,255,245,245,251,245,255,243,214,171,135,112,93,112,124,127,129,119,106,216,255,245,241,242,241,245,248,247,242,255,243,246,255,253,253,241,203,155,127,87,87,112,126,132,139,123,112,236,251,246,242,242,243,242,247,255,250,255,255,216,255,255,250,243,200,141,100,52,85,106,117,139,135,123,122,243,249,249,245,244,244,242,248,255,255,230,237,229,246,255,253,245,191,130,73,45,76,93,111,150,129,116,133,249,250,250,243,242,244,243,244,243,255,219,193,245,243,252,255,242,184,122,74,47,58,81,124,160,127,112,156,255,249,250,241,242,243,243,244,234,236,255,244,223,239,254,255,236,181,115,87,73,59,86,155,164,130,111,161,255,249,251,246,247,248,249,249,248,223,238,252,234,239,255,255,232,175,114,100,106,90,110,186,186,146,106,157,255,250,250,195,200,204,208,211,218,212,211,241,218,213,241,255,229,164,113,110,115,98,129,206,214,180,110,161,255,247,251,132,135,134,134,136,138,139,141,177,152,138,219,255,229,154,112,118,122,110,143,206,223,207,141,134,219,255,255,141,141,140,137,138,138,137,136,134,142,121,209,255,232,144,145,133,125,119,150,199,222,226,187,155,252,255,255,139,141,140,139,140,141,141,142,142,146,127,192,255,234,138,204,165,142,130,131,185,212,224,207,163,243,255,255,139,139,138,142,140,141,140,140,142,145,132,165,255,232,145,231,192,160,152,126,141,199,206,191,126,207,255,249,138,138,138,140,140,141,140,141,143,146,137,151,255,225,156,255,217,184,169,149,117,141,180,151,157,226,217,245,138,138,137,138,140,140,140,140,142,143,139,146,255,183,190,255,233,203,186,163,133,114,127,109,215,255,187,220,137,139,138,139,139,139,140,142,142,142,142,144,177,180,255,255,241,214,196,175,142,120,123,100,221,255,239,200,137,139,139,140,139,137,139,142,141,141,140,143,123,213,255,255,249,221,203,184,151,120,124,103,216,255,255,245,138,139,139,141,139,136,137,140,140,140,141,142,131,199,255,255,253,228,206,188,160,125,122,103,196,255,255,232,136,136,139,144,139,137,137,139,139,140,140,143,132,197,255,255,251,227,207,191,166,132,124,106,183,255,255,212
3,73,66,13,50,76,90,99,111,118,123,128,132,135,137,140,142,145,147,150,150,153,155,156,158,160,160,160,161,81,61,14,56,80,93,102,113,120,126,131,134,137,138,141,144,147,146,148,154,154,157,158,159,161,162,163,163,87,56,17,61,83,94,105,116,122,127,133,135,137,140,143,145,149,157,109,148,158,158,160,161,161,162,164,164,89,45,20,65,84,95,106,116,123,128,133,136,139,140,144,147,152,172,101,131,163,158,161,162,163,164,165,165,90,36,27,68,86,96,107,118,124,129,133,137,139,143,146,148,156,169,98,130,163,159,162,164,164,165,166,166,89,29,35,71,87,98,109,120,125,132,136,138,141,144,148,149,160,173,99,136,164,160,163,164,165,166,167,167,87,22,41,73,89,99,111,121,127,133,138,141,146,143,144,144,170,161,96,138,167,163,166,166,167,168,169,168,83,18,48,76,91,101,114,123,129,135,136,139,139,174,158,121,161,137,89,141,169,165,167,167,168,169,169,170,77,17,55,79,94,104,115,124,130,132,154,161,129,147,182,136,109,127,87,151,168,167,168,168,169,171,172,172,68,18,60,80,94,105,117,126,131,129,161,195,169,113,144,148,113,138,94,161,166,168,169,170,172,173,173,173,58,20,64,83,96,107,119,125,134,175,158,123,159,133,105,174,151,131,87,157,171,167,171,172,172,174,174,175,47,25,67,84,98,108,121,124,143,188,173,125,101,147,102,106,121,137,90,112,172,170,172,173,174,174,175,176,37,31,71,86,100,110,122,123,153,160,116,146,128,129,135,65,92,153,145,101,135,178,172,174,175,176,177,177,28,37,73,89,100,111,124,122,160,154,85,103,105,96,106,102,97,137,163,106,129,181,173,176,175,177,178,177,19,44,75,90,101,112,125,124,164,155,131,106,78,93,107,122,103,143,164,99,147,181,175,177,177,179,178,179,15,50,77,90,101,113,123,124,174,167,129,96,84,104,127,128,114,165,171,99,161,179,176,178,179,179,179,180,14,55,78,92,103,113,123,127,173,156,111,92,95,115,139,141,158,182,158,97,166,177,177,178,179,180,180,181,17,58,79,93,104,114,125,126,170,163,125,103,97,122,146,167,188,171,142,94,167,178,178,179,180,181,181,181,21,60,82,95,105,115,126,126,169,170,134,109,103,121,158,191,189,155,116,103,178,179,180,180,180,180,181,182,26,63,83,96,105,116,126,125,166,178,149,114,110,125,177,190,182,154,95,110,184,177,180,180,180,181,181,181,29,65,83,95,105,117,126,127,158,177,150,127,119,130,184,188,172,148,88,122,185,177,181,181,181,181,182,182,33,68,84,95,105,116,125,130,146,167,154,144,132,134,178,180,160,139,83,144,185,177,180,181,181,182,182,182,38,70,85,96,106,117,124,131,138,161,162,151,145,131,162,163,145,121,87,167,181,179,181,181,182,183,182,182,42,71,86,96,106,118,124,131,136,165,168,154,139,124,141,145,137,113,104,182,178,180,181,182,182,183,183,182,45,72,86,96,106,118,125,132,135,178,174,150,133,121,134,132,138,98,142,184,177,180,181,182,183,183,183,183,49,73,87,96,107,118,125,132,139,187,173,153,138,127,142,131,121,94,170,178,178,180,181,182,182,183,183,183,53,75,87,97,106,118,124,131,142,186,181,167,136,140,151,123,94,108,179,175,179,180,182,182,183,184,184,184,56,76,89,98,107,118,124,131,142,187,190,169,135,148,142,115,81,122,182,176,179,180,182,183,183,185,186,185
10,32,68,69,73,79,84,92,102,110,113,117,120,124,129,132,133,137,137,140,141,141,141,141,142,143,142,141,140,37,69,70,75,80,85,94,103,111,115,119,123,128,131,134,137,138,149,138,142,144,143,144,144,143,143,143,142,42,71,71,76,80,85,95,105,113,118,122,127,132,135,138,137,146,181,119,130,149,145,147,146,145,145,145,144,49,71,73,77,81,86,97,108,116,121,125,130,134,136,140,139,152,180,129,113,154,148,150,149,148,148,147,145,53,72,74,78,82,87,99,110,119,120,125,132,136,140,143,143,149,182,153,108,153,151,151,151,150,150,149,148,58,72,74,78,82,89,101,113,119,136,133,130,142,144,145,147,147,189,178,109,147,156,154,153,152,152,151,150,64,73,76,79,83,90,102,114,122,184,131,89,132,147,149,151,149,186,179,115,138,161,156,156,155,155,154,152,67,73,76,79,85,92,104,115,123,154,118,86,82,157,134,125,156,181,187,120,125,165,158,158,157,158,156,155,69,72,76,80,86,92,105,117,126,131,124,101,89,151,104,101,158,184,197,127,111,168,160,161,160,159,158,157,72,74,76,81,86,93,107,118,128,132,137,129,124,162,103,62,151,182,167,118,91,165,164,164,163,162,161,160,74,75,78,81,85,93,109,120,130,134,137,151,136,164,116,61,116,169,115,95,77,158,167,164,165,165,163,162,75,75,77,82,85,94,110,123,132,135,139,147,142,167,137,106,78,102,88,92,72,150,173,167,168,167,165,164,76,76,78,82,86,95,111,124,133,136,140,151,162,132,157,147,121,70,64,82,72,130,179,169,170,169,168,166,76,76,77,81,86,96,111,124,134,138,138,170,176,110,118,183,154,125,82,71,67,97,181,172,173,172,170,170,76,77,77,82,87,97,113,126,136,139,146,165,186,149,70,147,185,151,125,67,57,76,178,176,176,174,173,171,77,76,78,82,86,97,114,127,134,147,189,137,168,140,83,133,198,163,135,72,50,77,179,178,177,177,175,174,77,76,78,83,86,99,115,129,134,155,207,142,119,154,115,185,186,154,135,84,57,56,162,185,179,179,177,176,77,77,78,83,86,100,116,129,138,144,185,161,106,181,166,198,189,150,129,91,63,51,158,188,181,181,179,178,77,78,78,82,86,100,117,130,140,139,168,164,113,184,134,175,191,159,119,87,69,56,167,188,183,184,181,179,78,77,79,83,86,101,118,132,140,141,165,182,152,150,81,191,187,148,114,85,72,64,176,188,184,185,184,182,78,77,78,81,85,102,118,132,142,146,146,195,195,141,117,206,179,143,111,82,73,69,181,190,186,185,184,183,78,77,78,82,86,102,118,133,143,146,149,173,212,201,183,198,169,135,105,84,75,77,188,189,188,187,185,185,78,76,78,81,86,102,118,133,142,146,152,164,209,206,182,169,153,124,103,91,73,94,197,188,189,188,187,185,78,76,75,79,85,101,118,132,141,144,152,154,147,199,160,138,148,134,119,107,71,113,199,187,189,189,186,185,77,74,75,77,83,101,117,132,140,143,156,143,40,183,144,154,160,159,149,121,64,114,199,187,190,189,188,186,75,72,73,76,81,100,117,132,141,142,159,135,7,150,192,171,146,153,141,99,49,43,194,192,191,189,189,186,72,69,71,74,80,97,115,131,140,143,159,111,11,89,158,142,121,123,98,50,8,71,203,189,191,190,188,187,77,73,74,74,80,97,114,129,137,142,153,95,24,51,51,44,36,37,26,11,0,116,204,187,190,189,189,187
12,109,114,124,138,143,149,154,159,161,163,166,168,171,173,175,177,178,180,181,182,184,184,185,185,186,186,185,186,110,114,124,139,145,151,155,160,161,164,166,169,172,173,176,177,180,180,182,183,184,185,186,186,187,187,187,187,110,115,126,139,146,153,157,160,162,166,167,168,173,178,176,181,174,182,184,186,186,186,187,189,189,189,188,188,112,116,129,141,147,153,157,160,164,167,170,181,150,150,185,191,143,134,186,182,185,191,188,191,190,190,190,190,112,118,130,143,148,155,158,162,168,162,198,197,158,126,168,194,155,115,139,152,133,176,195,190,191,191,192,191,113,119,130,143,149,155,159,163,168,163,216,204,173,141,148,195,166,140,110,148,123,126,193,192,192,193,194,194,115,121,134,145,150,156,160,164,167,171,218,221,187,147,144,199,170,146,106,138,142,107,167,199,192,194,195,195,115,122,136,145,151,157,162,166,163,187,195,212,200,151,136,203,170,141,102,135,140,108,175,199,195,195,196,196,117,123,136,146,153,159,161,160,169,194,191,181,186,143,118,183,168,132,100,137,133,113,188,199,197,197,197,197,116,123,137,146,153,157,168,208,217,162,125,132,165,127,104,149,138,116,104,136,125,122,198,197,198,197,198,198,117,125,140,146,154,153,202,238,194,145,124,102,149,127,99,133,127,112,103,125,116,129,202,197,200,199,199,199,118,127,140,148,154,160,213,187,175,151,136,103,134,159,107,129,155,124,111,149,129,136,207,198,200,200,201,200,118,128,142,149,151,173,209,159,163,163,140,114,91,125,91,105,150,122,112,166,148,108,157,208,200,201,201,202,119,129,143,149,150,181,203,164,142,162,138,128,81,67,90,114,121,115,139,146,124,105,115,199,203,202,202,202,119,130,143,149,149,185,218,178,149,138,129,117,76,86,128,164,170,161,161,145,129,124,125,201,203,202,202,202,119,133,145,152,149,191,217,178,161,131,113,107,94,116,164,187,188,178,164,141,134,119,150,209,202,203,203,203,120,134,147,152,150,192,213,187,168,139,124,142,136,166,194,197,193,173,152,138,123,111,181,207,203,204,204,204,122,134,145,152,152,188,206,182,165,142,142,151,145,195,197,196,192,166,144,135,117,130,205,203,204,205,205,205,122,136,145,154,155,177,203,179,162,146,144,137,150,190,187,194,182,156,138,130,113,167,210,203,206,205,205,205,123,137,145,152,158,170,202,175,163,155,148,146,167,183,187,187,168,147,133,122,120,197,206,205,206,206,207,208,125,139,148,153,161,164,194,180,173,171,158,152,172,180,182,169,151,137,128,114,147,210,204,205,207,208,208,208,126,139,147,155,162,161,185,189,175,169,156,146,154,169,169,152,134,127,123,118,189,208,205,205,208,209,209,209,128,141,147,154,161,164,178,198,169,162,150,139,135,147,146,137,125,126,115,155,210,204,206,208,208,209,209,209,128,141,147,155,161,166,172,204,181,159,142,133,138,139,138,133,123,121,123,198,205,205,208,208,209,209,209,210,128,141,147,155,161,166,170,202,194,163,144,143,150,139,138,137,124,107,154,211,204,207,208,209,210,210,210,210,129,141,148,154,163,165,181,213,204,171,161,157,155,139,131,127,119,98,163,212,204,208,209,209,210,210,210,210,130,142,148,156,158,182,204,198,222,178,168,156,150,137,126,118,115,95,165,212,204,208,209,209,210,211,211,211,131,143,149,157,159,211,218,172,206,184,171,154,146,134,118,116,114,97,175,212,205,208,209,210,210,211,211,211
1,79,84,97,114,128,135,139,145,151,154,157,160,164,168,169,167,171,172,173,173,174,175,175,176,177,177,176,176,80,85,100,117,130,137,142,147,154,158,161,164,168,176,172,151,166,172,175,177,177,178,178,178,179,178,178,178,82,88,103,120,133,139,145,152,158,163,166,169,169,184,178,133,151,157,164,180,181,182,182,182,182,181,180,180,83,90,106,123,136,142,148,156,162,167,174,176,154,179,180,127,144,150,140,178,186,186,187,186,186,185,184,183,84,93,110,126,138,145,151,160,166,171,182,186,142,168,178,126,146,157,128,170,191,191,191,190,190,189,188,187,85,95,113,129,141,148,154,163,170,175,186,192,143,160,179,132,151,165,127,161,194,195,195,195,194,193,192,192,87,98,117,133,145,151,158,166,173,177,186,195,146,150,172,134,155,173,134,156,197,199,199,199,198,198,197,196,88,100,120,136,148,154,160,169,178,179,167,188,147,137,162,134,154,175,138,155,200,203,203,203,202,202,201,200,89,103,123,140,150,156,164,173,187,180,147,178,146,126,160,137,152,181,145,157,204,208,207,207,207,206,204,204,91,106,126,142,152,158,167,178,194,177,139,177,151,119,151,135,152,185,152,159,207,212,212,211,211,209,208,208,92,108,128,145,155,161,170,181,198,176,132,172,162,126,143,143,150,171,149,157,209,215,215,214,214,213,212,211,93,110,130,147,157,163,173,184,204,182,128,156,172,153,155,152,145,145,132,153,212,218,218,217,217,216,215,214,95,112,133,150,160,166,176,187,207,188,131,142,152,155,152,138,146,157,138,154,212,221,221,220,220,219,218,218,97,115,136,153,163,169,179,190,208,196,154,144,122,135,127,128,171,191,174,157,193,220,223,223,223,222,221,221,98,118,139,156,165,172,182,194,215,202,164,136,113,123,118,149,191,202,191,153,146,198,224,226,226,225,225,224,100,120,141,158,168,175,185,199,221,205,161,126,115,130,144,187,212,205,181,136,114,161,221,228,228,228,228,227,102,122,144,160,169,177,188,202,227,212,164,125,124,143,166,207,222,209,173,128,104,147,221,230,230,230,230,230,104,125,146,163,172,179,190,204,230,221,174,131,133,156,181,213,223,206,169,127,102,156,226,233,233,233,232,232,107,128,149,165,174,182,193,205,230,228,189,142,142,164,189,220,223,201,162,124,103,169,231,235,235,233,224,210,110,131,152,168,176,184,195,206,228,232,204,156,150,167,188,221,220,195,153,118,104,181,233,230,213,185,146,113,113,134,155,170,178,186,197,207,224,231,213,170,161,164,184,215,214,187,144,112,107,191,219,174,122,87,65,57,115,136,157,172,179,188,199,207,218,225,218,183,172,163,181,207,206,177,136,106,112,182,153,91,58,47,47,45,117,137,159,173,180,188,199,207,212,219,218,193,179,166,173,197,192,165,126,101,103,120,81,63,51,36,42,47,119,139,161,174,180,189,198,206,210,213,214,199,185,173,163,181,179,154,121,97,79,62,47,54,56,33,32,46,120,141,163,176,182,190,200,208,212,211,213,204,193,180,160,164,170,146,117,92,69,53,40,40,54,40,25,34,121,143,165,178,183,192,202,210,215,213,215,209,196,181,157,152,159,139,110,85,68,54,41,28,43,47,25,22,123,144,165,178,184,193,202,210,215,215,215,204,188,176,158,148,144,129,102,80,67,51,40,26,31,46,32,16,130,146,163,174,181,189,198,206,212,212,215,206,186,179,167,148,134,122,98,76,66,53,38,26,24,41,38,17
2,225,225,227,229,229,229,230,230,230,230,229,228,226,226,226,227,224,223,222,218,219,218,215,212,210,208,206,205,227,229,229,231,232,232,232,233,232,231,231,229,232,233,233,231,230,230,229,227,219,219,217,215,214,211,209,207,230,232,233,233,234,234,234,234,234,234,233,235,219,207,212,211,200,193,183,201,231,220,217,217,215,214,211,209,232,233,234,234,236,236,236,235,237,235,237,224,196,189,193,192,178,153,130,117,176,225,224,218,217,216,213,211,234,235,236,237,238,239,239,237,239,240,228,198,197,202,190,193,198,146,137,151,154,157,191,221,219,218,215,213,235,237,238,240,240,241,241,241,242,242,230,215,204,183,166,165,153,92,99,131,142,104,99,212,224,219,216,214,237,237,240,241,242,244,244,245,245,237,230,220,197,163,133,112,128,174,198,164,137,110,158,228,222,220,217,215,238,239,242,242,242,246,246,247,241,216,214,196,154,94,66,129,247,244,242,242,235,228,235,227,223,221,218,216,240,242,244,244,245,246,248,248,237,212,197,148,94,73,62,191,252,236,236,234,233,233,228,227,225,223,220,217,239,242,245,246,246,247,249,249,236,213,154,88,68,56,111,248,241,241,239,236,234,231,231,235,232,225,221,219,242,243,246,247,248,249,251,245,238,211,145,70,68,50,172,255,241,243,241,238,235,237,228,195,185,219,225,221,243,245,247,248,251,251,251,240,237,201,138,71,80,66,165,255,242,244,243,239,239,231,163,122,107,167,232,220,244,245,247,250,252,253,250,241,232,191,112,77,90,69,180,255,245,246,243,244,238,170,136,138,114,162,235,221,245,247,249,252,253,254,249,243,231,181,117,99,89,68,210,255,245,247,245,246,179,132,144,128,113,215,230,225,245,249,250,251,253,255,245,243,230,187,131,104,84,65,154,255,250,245,255,197,111,121,134,101,167,241,227,227,246,249,250,252,253,255,245,241,227,184,135,104,82,82,83,148,230,255,204,139,113,113,107,108,235,233,230,227,248,250,253,254,253,255,244,238,218,181,145,103,82,84,92,86,118,161,116,119,133,106,96,208,240,232,232,228,249,252,254,255,255,255,242,237,219,182,137,99,81,84,90,101,106,97,101,118,108,109,219,247,234,235,233,228,248,252,253,255,255,255,237,244,233,177,136,107,80,87,92,97,109,113,103,110,104,224,249,236,237,235,232,229,251,253,253,255,255,252,235,253,227,171,135,107,82,87,95,98,107,116,105,78,203,255,237,238,236,235,233,231,252,254,255,255,255,247,240,250,214,161,134,112,83,86,99,105,109,112,87,164,255,243,242,241,239,235,235,233,252,254,255,255,255,244,242,242,204,156,136,112,84,88,104,109,114,92,112,255,247,245,244,243,240,237,235,233,253,254,255,255,255,241,243,230,191,159,139,110,84,89,107,104,105,70,202,255,247,247,245,243,242,240,236,235,253,255,255,255,255,240,235,213,180,153,130,106,82,89,105,103,70,145,255,250,251,249,246,244,242,240,237,235,252,254,255,255,255,240,224,207,176,149,127,103,84,91,102,72,123,255,255,252,250,248,247,244,242,240,237,234,252,254,255,255,253,237,213,198,165,141,121,101,86,82,65,130,255,255,254,254,252,250,248,245,242,241,238,235,252,255,255,255,254,232,209,194,162,136,114,97,72,89,193,255,255,255,255,255,252,251,250,245,243,241,239,234,252,255,255,254,251,226,205,188,164,132,108,84,67,216,255,255,255,255,255,255,251,249,248,245,242,240,237,235
4,180,180,180,180,180,179,179,178,177,176,177,175,175,174,173,173,169,168,167,167,167,166,165,165,162,160,159,158,181,181,181,182,181,180,180,180,180,180,178,178,176,173,162,162,173,171,169,168,168,167,165,166,163,160,160,158,183,183,183,182,182,182,181,181,178,161,151,162,173,167,135,107,130,175,171,168,172,168,167,165,164,163,160,160,185,185,184,182,183,184,182,183,182,170,160,138,128,133,149,130,97,134,140,116,125,165,169,167,166,165,163,160,185,185,184,184,184,184,183,178,179,172,168,163,137,100,99,135,122,91,85,99,73,124,174,167,166,165,164,163,187,186,185,186,186,185,175,165,163,148,110,108,142,96,61,111,117,88,59,93,84,83,171,169,166,165,163,162,187,187,187,187,187,186,183,182,166,150,108,70,120,98,61,88,101,73,64,105,95,68,159,170,166,166,164,163,188,189,188,188,187,188,164,142,126,156,119,77,100,119,97,86,92,60,74,108,94,68,158,171,167,166,164,163,189,189,188,189,188,190,174,120,72,119,149,111,105,132,145,125,103,95,94,105,113,83,158,171,169,166,165,164,189,190,189,190,189,190,171,122,62,47,145,125,94,112,133,137,104,106,107,104,116,77,122,177,170,168,166,166,190,191,191,191,190,188,150,108,88,80,76,90,75,70,75,111,107,102,100,99,94,80,82,174,171,168,167,167,193,192,192,192,189,186,163,150,124,94,64,59,72,67,67,70,95,99,92,87,96,96,65,156,174,170,167,166,192,193,192,192,191,188,169,153,120,87,63,64,70,75,88,76,62,57,88,113,124,106,68,119,177,170,167,166,193,193,194,193,193,189,177,144,107,79,63,64,74,94,95,93,88,94,114,138,132,114,88,85,176,170,169,167,193,194,195,194,191,191,168,137,108,78,64,73,85,98,109,108,127,149,143,123,152,140,107,68,161,173,171,169,194,194,195,195,192,191,177,154,122,89,71,75,84,110,123,127,141,156,163,150,141,139,107,59,145,175,171,169,195,195,195,196,195,189,177,156,129,95,70,73,93,115,129,143,150,162,161,150,136,112,91,56,151,176,171,169,195,195,195,196,196,186,175,165,141,109,81,75,83,115,137,151,162,168,157,138,124,100,68,74,175,174,172,169,195,195,195,196,195,183,170,170,149,121,97,79,78,119,149,161,172,168,152,129,113,88,50,128,179,174,172,170,195,195,195,196,195,182,164,166,151,126,105,86,82,119,158,165,169,159,140,120,101,75,64,173,177,175,173,172,195,196,197,197,197,181,162,158,150,133,111,93,92,123,163,160,156,147,128,109,91,58,117,184,176,175,172,171,196,196,198,198,198,182,160,157,156,140,115,105,98,128,158,154,148,134,115,99,78,59,167,181,177,174,173,172,196,197,198,198,197,189,163,160,159,145,122,113,98,130,150,149,142,123,101,85,54,105,186,180,179,175,174,173,197,198,198,198,199,197,172,165,166,149,130,113,97,122,146,141,130,109,88,68,59,170,183,181,180,175,175,173,198,199,198,198,198,197,177,174,167,148,134,118,99,110,132,125,111,90,74,47,134,188,182,180,179,177,175,173,199,199,199,199,200,196,185,178,164,149,137,122,106,104,115,110,92,76,49,95,186,184,182,179,178,178,175,174,199,199,199,199,200,196,186,177,160,146,134,121,113,104,104,101,84,62,54,172,187,183,181,180,178,177,176,174,199,199,199,199,200,191,184,173,162,153,147,137,128,111,99,95,75,50,110,191,187,185,182,180,179,177,175,174
1,109,117,101,85,86,77,90,40,73,102,115,124,164,132,115,150,150,156,157,161,164,167,168,171,172,173,176,176,111,120,99,88,84,83,89,40,80,104,120,128,166,145,102,150,121,147,162,162,166,168,170,173,174,175,177,177,114,122,96,92,81,90,83,42,87,102,154,138,138,165,112,162,119,118,167,163,167,168,171,174,175,176,177,179,117,122,94,96,82,96,75,45,91,103,165,146,126,167,116,164,145,105,163,166,168,170,173,174,176,177,179,179,120,120,93,98,80,101,66,50,96,106,167,152,126,184,139,149,158,104,155,170,168,171,174,176,177,179,181,181,124,119,95,102,82,106,57,58,98,106,166,158,127,192,148,144,179,117,141,174,171,173,176,178,180,182,183,183,127,117,99,105,84,110,51,61,127,128,159,179,131,182,151,148,191,133,124,176,173,175,177,180,183,184,184,185,131,116,103,103,87,110,47,68,163,134,151,182,130,171,156,139,186,145,116,175,175,176,179,183,184,185,185,186,133,114,106,102,92,108,43,77,166,130,147,181,126,169,170,132,182,154,114,173,177,178,182,184,185,187,188,188,133,111,109,99,99,104,42,82,171,133,142,189,126,164,182,130,187,163,116,169,179,181,184,186,187,189,189,189,134,111,114,97,106,96,43,85,176,153,138,193,136,142,183,123,175,167,111,162,184,182,184,187,189,190,190,190,131,111,118,95,113,86,47,88,172,157,123,191,141,114,174,116,158,177,111,154,187,181,185,189,190,191,191,191,130,112,119,92,120,76,52,90,160,163,116,175,151,143,162,155,170,153,108,138,189,183,187,189,191,193,192,192,129,113,119,92,124,66,58,92,158,180,117,156,173,152,137,168,169,119,95,123,190,185,188,190,191,193,193,195,126,116,119,91,127,58,64,93,159,169,138,166,166,164,157,191,181,126,90,104,183,187,189,192,192,193,196,196,125,119,118,92,127,50,70,95,160,173,173,156,155,161,168,181,175,151,106,85,173,191,189,192,193,194,195,197,124,121,116,97,127,44,75,96,173,190,165,144,143,148,154,151,172,175,137,86,155,195,189,192,193,194,196,198,121,127,114,104,123,40,78,99,182,185,152,135,143,151,166,180,184,191,168,108,130,196,189,193,194,196,196,197,120,130,111,111,117,39,83,99,170,184,146,130,150,152,173,203,189,192,179,130,113,193,190,193,194,196,196,196,123,131,107,116,107,39,88,99,152,189,155,138,143,159,177,203,199,182,167,125,111,192,191,194,195,196,197,198,123,132,103,123,100,40,90,102,131,186,162,144,140,165,179,204,200,180,157,113,117,195,190,193,196,197,198,198,123,135,101,130,91,42,91,106,117,174,176,153,138,159,178,200,197,175,152,109,120,196,190,193,195,197,198,198,127,137,99,138,82,46,93,106,113,158,183,162,149,148,172,196,188,167,151,106,120,196,191,194,196,197,198,198,131,139,99,146,73,50,94,105,114,135,176,169,162,149,164,189,179,159,144,102,126,196,190,195,196,197,197,198,135,140,101,149,64,53,93,103,114,123,154,174,167,160,155,170,174,153,139,99,141,195,189,192,193,194,196,196,139,137,103,151,55,57,90,101,112,123,133,170,170,162,147,150,162,141,131,102,164,191,188,190,191,192,195,195,142,132,107,150,47,60,89,98,109,123,125,162,171,155,142,142,142,137,129,103,174,186,186,190,191,193,194,195,145,129,111,145,45,64,86,92,102,116,119,153,166,145,144,149,143,137,122,99,175,183,183,187,189,191,192,191
1,126,130,131,134,137,142,144,144,146,146,148,149,151,153,153,153,153,154,158,155,156,156,156,156,155,155,156,156,130,132,135,137,140,144,146,149,149,150,152,152,153,152,156,156,163,159,136,160,159,158,157,156,156,156,157,157,133,137,138,141,144,147,150,152,153,155,156,156,156,168,140,147,180,163,100,159,163,162,159,160,159,159,158,159,137,140,142,145,148,151,153,156,157,158,160,158,163,188,118,133,184,148,102,161,146,154,166,163,163,162,161,162,140,143,146,149,152,155,157,160,161,162,163,161,174,183,110,142,185,136,106,172,139,117,172,165,166,165,164,163,143,147,150,153,156,158,162,164,164,164,172,153,162,178,110,148,186,129,114,183,141,107,173,168,168,168,167,166,147,151,153,156,160,163,166,169,170,169,189,141,131,162,116,154,191,136,127,188,135,107,175,172,172,171,170,169,151,155,156,160,164,167,170,173,173,175,195,127,131,151,124,154,182,131,130,192,135,108,179,176,175,174,174,172,154,157,160,163,168,169,173,175,177,180,185,116,135,137,115,136,177,123,139,196,140,114,183,179,178,177,177,175,157,160,163,166,171,173,175,180,180,183,191,125,137,143,116,137,190,127,154,191,136,119,189,184,182,180,180,179,159,162,166,169,174,176,178,183,181,187,189,124,128,157,127,138,191,126,164,195,136,125,192,185,186,185,184,183,162,165,169,172,176,178,182,185,184,193,198,138,120,148,113,130,170,113,176,197,139,135,196,186,188,188,187,186,164,168,171,175,180,182,183,187,187,194,206,142,109,133,113,135,151,132,182,183,131,145,199,189,191,190,189,188,167,171,173,176,182,184,186,190,189,196,203,147,137,170,159,168,172,161,150,172,125,153,201,192,194,193,192,191,168,172,175,179,183,186,189,192,191,202,212,173,146,145,182,196,204,170,116,142,114,161,203,196,196,196,194,193,170,173,177,181,184,187,191,195,192,210,202,157,133,104,127,153,171,190,151,96,93,176,204,197,198,198,196,194,172,175,180,184,187,189,193,197,194,215,196,155,122,112,117,128,169,211,188,120,87,192,204,200,199,199,198,198,174,178,182,186,188,191,195,198,197,219,203,154,128,131,136,167,184,205,209,152,97,190,208,203,202,201,200,201,176,179,183,186,190,194,197,199,200,220,199,152,128,137,143,196,207,191,190,156,101,171,213,203,204,203,202,202,178,182,185,189,193,195,198,199,202,219,198,160,135,147,160,216,214,189,157,131,95,171,215,205,205,204,204,203,179,183,187,191,194,197,199,202,203,216,200,163,148,143,174,223,210,174,145,112,92,187,214,206,207,207,206,205,180,185,188,191,196,197,200,203,204,212,197,164,154,141,174,220,196,162,135,100,118,213,209,210,209,207,207,208,181,185,189,192,195,197,202,206,205,207,196,171,165,145,165,209,181,150,121,90,157,221,208,210,211,209,209,209,183,186,191,194,197,200,202,204,206,204,194,175,171,149,162,202,170,140,110,94,191,217,211,212,212,211,210,211,185,187,191,194,198,200,204,205,208,208,199,177,171,142,155,190,159,132,99,112,215,214,214,213,213,213,213,212,184,187,192,196,199,201,203,207,206,210,204,178,164,130,147,164,136,122,91,150,224,215,216,215,214,214,214,213,183,187,191,195,198,200,202,207,201,214,206,194,163,134,150,151,130,109,106,204,218,216,216,215,215,215,214,213,183,187,191,194,199,203,204,204,202,214,207,197,169,145,150,141,125,93,165,222,214,216,216,215,215,215,214,213
1,150,152,154,155,155,157,157,157,157,158,158,158,160,160,160,160,160,160,159,159,160,160,159,158,158,159,158,157,153,156,157,157,159,159,159,160,161,162,162,162,162,163,163,163,162,163,163,162,161,161,162,161,160,159,159,158,157,159,160,161,162,163,163,164,165,165,166,167,166,165,165,165,167,158,155,166,165,165,164,164,162,161,161,160,161,164,164,166,166,166,167,168,169,170,170,170,171,169,141,161,179,152,117,169,169,168,167,167,165,165,164,164,164,167,168,170,170,170,170,171,171,173,174,173,180,175,114,155,181,141,110,167,164,171,171,170,168,168,167,166,168,170,171,173,174,174,174,176,175,175,172,166,186,166,111,163,178,126,124,164,126,157,176,173,172,171,171,170,171,172,173,175,177,178,177,178,179,181,165,133,168,151,115,176,175,116,140,170,113,143,180,176,175,174,173,173,174,175,176,179,181,180,181,181,181,188,161,117,150,147,122,183,177,122,157,174,112,143,183,179,178,177,176,175,176,178,180,182,184,184,183,184,184,189,148,116,145,140,127,178,165,121,170,172,108,147,184,182,182,180,180,179,179,180,183,184,186,187,186,186,186,193,144,122,135,127,114,171,148,118,182,173,112,157,187,187,185,184,183,182,181,183,185,186,187,187,189,189,189,194,137,118,135,132,108,180,146,129,189,164,113,168,189,188,187,186,186,185,184,186,187,188,189,189,190,191,193,198,144,108,134,131,109,181,142,142,189,156,112,178,192,190,189,188,187,186,185,188,190,191,192,193,193,192,195,199,147,99,120,113,103,162,125,159,192,157,119,189,194,193,191,190,189,188,187,189,191,193,194,195,194,194,199,200,153,119,144,159,150,168,152,144,175,148,129,196,196,194,194,193,192,190,190,192,192,194,195,196,196,196,205,198,160,130,120,160,182,183,180,138,130,129,141,200,198,197,196,195,193,193,191,193,194,195,197,198,198,199,210,189,149,120,98,107,135,158,195,175,114,90,156,203,199,199,198,196,195,194,193,195,197,198,199,200,200,202,216,190,146,112,101,105,117,153,205,202,145,86,171,204,201,201,200,200,198,197,194,196,198,200,201,202,200,206,216,186,142,115,113,121,156,180,184,195,160,104,178,205,202,201,200,200,200,200,196,197,199,201,202,203,201,209,214,184,146,117,125,134,185,200,182,164,140,102,154,207,204,204,203,202,201,200,197,198,200,202,203,205,203,211,214,186,150,129,130,156,206,202,175,149,113,90,158,210,206,205,205,205,202,201,199,200,202,203,203,205,205,211,212,185,152,139,131,171,214,203,164,134,101,87,180,211,208,207,206,206,204,202,200,202,202,204,204,205,206,209,209,186,161,147,133,170,213,194,152,121,92,107,199,209,208,208,207,207,206,204,201,203,203,205,205,206,207,208,206,188,167,156,131,173,204,177,139,108,88,154,211,210,209,209,210,210,208,208,201,204,206,206,207,208,209,210,209,191,169,155,131,177,190,165,131,98,100,195,213,212,210,210,211,210,208,208,202,204,207,207,207,209,208,210,213,194,173,148,131,170,166,148,118,88,134,213,213,214,213,212,212,211,209,208,202,204,206,208,208,209,204,210,214,207,181,148,139,161,148,135,108,92,178,216,214,215,215,214,213,212,210,209,202,203,204,206,207,206,203,211,210,205,182,153,148,151,140,123,96,131,209,216,215,215,215,214,214,213,212,211,203,204,205,206,206,203,204,202,192,191,175,151,145,135,127,102,101,187,217,216,215,215,215,214,213,213,212,211
24,127,133,140,151,158,163,168,172,176,178,182,184,186,186,187,186,185,184,184,183,181,179,177,177,176,174,171,169,130,134,143,155,162,167,172,175,180,183,186,188,190,191,191,191,191,189,189,188,187,185,184,182,180,178,175,174,132,136,146,157,165,170,174,179,183,187,189,193,194,194,195,195,195,194,193,193,192,190,189,187,186,184,181,179,134,139,149,159,167,173,177,180,185,189,193,196,196,196,198,198,198,198,197,196,195,193,193,191,190,189,186,183,136,140,150,162,170,176,180,183,188,192,196,199,200,200,201,201,201,200,200,199,200,199,196,196,195,193,190,188,138,142,159,167,172,178,183,186,191,194,198,201,202,202,203,204,204,203,202,202,201,201,200,200,200,198,195,192,136,158,167,135,179,180,184,188,193,197,200,202,204,204,205,206,206,205,205,205,204,204,205,203,203,201,199,196,136,167,156,98,177,182,186,190,195,199,202,204,204,206,207,209,213,209,206,208,207,206,207,208,205,203,201,200,138,174,155,93,172,186,188,193,198,200,203,206,213,211,211,188,163,207,210,207,209,210,208,204,210,207,203,200,139,178,145,88,171,188,189,193,196,206,204,205,173,191,237,189,122,135,215,211,204,187,172,133,149,213,205,209,141,173,140,87,171,188,198,183,145,179,220,212,139,111,172,197,153,103,190,202,189,160,118,91,178,225,205,177,142,172,153,89,164,189,214,210,176,154,206,214,156,120,110,198,169,120,142,168,199,133,99,177,193,142,81,58,144,174,167,99,146,194,207,233,223,185,143,215,180,152,113,181,171,114,97,187,172,97,90,101,63,44,52,47,149,166,185,148,152,186,205,203,233,208,147,158,207,159,107,131,151,93,124,204,129,82,53,46,59,64,58,55,151,156,197,178,171,189,206,166,186,212,151,102,199,180,117,75,89,97,175,178,102,59,50,48,45,62,58,50,153,156,185,197,192,212,213,192,165,183,146,86,171,195,126,63,70,151,183,145,81,39,44,58,41,49,60,56,154,160,176,221,201,185,191,177,149,162,153,108,120,154,97,88,121,155,152,114,59,52,32,49,52,41,51,61,153,163,172,219,203,168,180,166,130,136,157,133,105,104,150,175,164,162,125,88,28,55,46,33,48,43,46,54,154,165,173,209,211,152,141,153,137,138,157,168,145,164,228,212,182,172,111,71,16,38,59,40,36,45,43,46,121,127,123,165,215,168,127,142,177,148,192,221,201,224,233,205,181,163,100,70,26,22,52,55,41,42,37,42,110,112,106,129,220,196,149,126,166,163,203,221,228,238,226,195,172,149,91,60,41,14,39,56,50,46,37,35,115,116,116,119,205,209,170,138,139,169,191,227,233,229,211,184,163,141,85,39,52,13,27,51,50,51,43,31,116,117,119,112,186,217,189,157,139,163,179,225,232,220,199,175,153,138,89,27,55,24,14,42,52,48,45,39,114,116,120,110,164,219,200,169,153,162,169,213,226,208,190,171,145,131,87,27,50,37,9,29,51,45,43,42,113,115,117,112,135,211,203,182,162,167,161,200,218,198,187,171,132,119,79,29,45,48,15,16,45,47,39,40,114,114,115,116,115,187,204,191,171,174,158,178,206,193,190,163,120,110,62,15,42,51,29,10,33,49,34,37,113,114,114,116,111,140,205,198,182,175,163,157,186,185,178,151,112,103,52,8,26,52,41,16,17,44,38,29,112,113,114,114,117,111,175,203,185,174,160,143,155,170,156,134,110,91,39,8,13,48,45,28,12,29,45,26
15,173,148,151,132,92,172,72,24,83,81,82,86,91,93,105,119,133,144,148,152,159,166,171,174,177,180,184,187,173,149,158,125,103,176,57,32,85,81,84,87,90,93,106,122,136,146,150,155,162,168,174,177,181,184,186,189,174,154,166,116,119,176,43,43,87,82,85,89,92,93,108,124,138,149,153,157,164,171,176,179,184,187,189,193,172,157,170,109,134,169,33,55,88,82,86,89,91,95,111,127,141,151,154,159,166,174,179,183,187,190,193,195,171,158,171,99,152,159,15,61,85,81,86,91,97,98,115,133,146,155,157,161,171,178,182,186,190,194,197,199,167,169,166,116,150,144,89,109,109,115,126,127,125,104,105,118,134,152,160,165,174,181,193,195,193,197,200,203,163,183,151,129,131,128,130,117,109,117,113,108,101,109,109,105,109,115,125,136,136,130,143,176,205,204,202,207,168,163,124,120,119,116,108,102,103,105,105,102,103,117,121,118,115,112,111,124,132,118,105,92,132,196,217,211,172,171,139,106,112,100,103,98,104,108,108,107,112,123,123,121,114,108,114,127,127,124,118,102,84,93,163,217,173,179,145,110,188,79,49,92,91,94,97,101,111,122,124,118,109,111,124,126,119,123,117,109,104,91,79,115,176,184,131,125,202,58,32,92,83,86,88,91,92,109,128,155,136,123,122,123,125,123,118,112,111,114,99,79,180,190,122,141,194,44,47,93,85,86,89,92,94,106,139,188,169,140,128,122,113,118,113,115,114,128,110,93,181,192,113,155,187,32,56,94,85,86,89,92,95,106,178,170,147,106,100,111,90,92,113,116,124,139,117,104,182,190,109,170,174,23,65,92,84,86,89,94,88,141,187,145,132,96,57,70,52,59,147,136,141,134,114,112,184,187,103,183,160,18,73,92,84,87,90,89,104,195,165,130,112,90,50,43,30,64,170,158,150,121,106,113,185,181,104,196,146,14,81,92,86,86,90,82,142,210,164,123,103,63,41,44,25,92,172,173,162,124,100,107,191,177,105,205,128,14,87,91,86,87,91,84,120,198,181,139,108,54,34,42,46,101,165,183,169,129,102,98,199,170,112,215,113,16,92,89,85,86,89,92,90,178,202,169,120,70,28,73,86,89,157,176,151,123,102,85,205,164,120,226,99,21,95,88,85,85,88,92,92,141,219,190,135,79,43,50,108,148,162,146,118,113,97,76,210,152,131,227,83,27,98,87,84,84,86,88,97,117,205,203,174,157,149,149,165,146,127,107,95,98,93,79,213,142,146,225,66,34,97,84,83,82,85,85,98,114,172,212,178,162,158,166,162,117,90,92,87,88,94,98,215,132,161,219,51,43,96,83,82,81,84,86,96,124,196,166,136,133,142,167,161,104,81,83,78,91,95,89,213,124,178,209,41,53,96,83,81,80,85,88,89,155,199,142,134,137,134,156,155,111,81,94,182,120,63,59,209,119,193,197,19,51,87,73,72,73,77,81,85,154,180,136,122,120,117,139,140,114,72,183,255,130,64,64,204,116,202,184,86,107,120,106,101,97,94,95,105,133,155,148,160,158,110,90,134,108,86,174,255,137,71,66,197,120,207,189,155,120,133,133,131,128,130,133,130,128,130,140,147,194,162,88,141,140,116,162,195,124,80,70,190,123,212,187,139,105,122,119,120,121,123,122,124,123,121,126,119,150,194,126,114,130,129,126,129,106,77,76,182,129,216,182,139,114,125,125,127,127,126,127,129,131,133,134,132,129,151,142,132,136,136,137,142,110,63,44
14,152,156,159,162,165,167,169,170,173,174,176,177,180,180,180,180,182,183,185,186,187,187,187,188,188,188,189,189,154,157,160,163,166,168,170,172,174,175,177,179,181,181,183,184,186,187,186,187,187,188,189,189,189,189,190,190,154,158,162,166,167,169,171,173,175,175,176,178,179,185,166,163,174,177,187,191,191,190,190,190,190,189,191,192,156,158,162,166,168,169,172,175,175,174,181,184,185,177,131,123,163,167,181,163,173,195,190,190,190,190,192,192,156,158,162,165,167,171,173,174,175,190,193,178,159,143,127,118,152,172,163,120,147,201,190,193,193,193,193,193,157,160,163,167,169,171,172,177,202,202,174,127,109,114,126,124,133,141,138,111,111,187,194,193,195,194,194,194,158,161,165,169,171,172,172,206,206,176,142,103,85,92,110,122,146,139,145,150,129,158,191,194,195,195,194,194,158,161,165,169,172,170,181,216,171,127,99,106,98,111,120,95,112,132,137,161,169,143,152,202,194,196,195,195,159,163,167,169,172,168,202,204,145,100,95,104,99,126,118,101,119,132,143,134,140,116,120,199,196,196,197,197,160,164,167,169,171,175,216,183,136,94,92,92,94,110,99,122,137,105,139,155,147,138,128,149,201,199,197,198,160,164,167,170,168,191,212,162,110,90,98,104,103,92,96,128,126,116,189,202,191,162,144,124,164,192,199,197,161,165,168,172,170,209,190,143,112,109,104,109,106,108,112,103,117,180,200,195,198,199,169,164,135,182,203,198,161,166,169,169,184,219,181,145,128,109,103,106,106,114,119,98,164,205,194,196,201,186,175,162,132,200,199,199,161,166,170,167,206,217,176,142,119,105,102,101,105,113,108,124,199,196,197,198,199,176,177,135,156,208,198,200,161,166,170,168,212,205,169,141,110,100,100,103,109,112,97,142,204,193,198,201,195,170,172,119,160,210,199,201,162,167,171,170,217,202,162,128,103,100,102,106,111,102,95,126,199,200,200,199,163,166,167,123,144,209,199,201,162,168,169,177,222,191,162,131,107,102,105,109,113,112,118,122,153,191,193,175,172,174,164,121,155,210,199,201,163,169,167,188,223,188,160,129,108,101,104,114,117,125,137,146,138,135,157,175,183,178,143,144,201,202,201,201,163,169,165,199,220,185,158,128,110,103,105,114,123,134,146,155,157,147,174,179,178,152,147,202,204,201,201,201,163,169,165,207,212,184,159,134,115,104,107,117,135,147,158,157,159,155,169,175,147,145,201,205,203,204,202,202,163,168,168,214,206,182,158,137,120,107,106,125,150,160,168,166,158,155,151,145,134,198,206,203,204,204,203,203,163,167,172,214,198,179,156,141,123,109,107,133,163,166,165,166,162,153,122,125,193,204,201,204,204,204,204,204,164,167,178,211,191,174,160,145,125,111,108,140,168,163,163,162,163,132,131,193,206,202,203,205,204,204,204,204,166,166,184,208,184,175,166,147,131,116,112,139,168,162,150,158,141,131,199,206,202,204,204,205,205,205,204,204,165,164,193,210,186,181,169,148,133,123,111,131,158,152,141,142,128,188,207,203,204,204,204,205,205,205,205,205,164,164,207,210,191,185,167,148,133,121,110,123,143,137,141,118,177,207,201,204,204,204,204,205,205,205,205,205,164,171,218,204,197,184,156,139,127,114,112,123,128,123,135,175,206,200,203,205,205,205,205,206,206,206,206,206,160,187,218,195,193,174,141,131,120,113,119,120,113,126,181,206,200,201,203,205,205,206,206,206,206,206,206,206
13,174,177,181,183,185,186,188,189,190,193,192,192,193,195,195,195,195,195,194,194,193,192,190,190,189,189,187,187,175,178,182,184,186,187,188,191,192,194,194,194,195,196,196,195,195,196,196,196,195,194,193,192,191,191,189,188,175,179,183,185,187,188,189,192,194,195,196,197,197,198,199,200,202,197,197,201,200,194,195,194,193,192,191,191,176,180,184,186,187,190,191,193,195,196,197,199,199,199,195,175,173,203,195,175,178,199,196,196,195,194,193,192,177,180,185,187,188,190,192,194,196,196,198,201,199,201,189,159,128,162,177,147,111,160,205,196,196,195,194,192,177,181,185,188,189,190,193,195,197,198,199,201,199,206,207,174,155,111,151,159,118,110,204,198,197,196,195,194,178,182,187,189,190,192,195,196,198,199,200,201,201,203,214,181,155,106,130,159,126,97,194,202,198,197,196,194,179,183,187,189,190,193,196,198,199,200,202,202,203,203,202,181,145,110,106,137,115,90,188,204,198,198,198,197,179,183,186,190,192,193,197,199,200,202,202,203,200,209,198,180,141,118,97,128,111,90,190,204,199,200,199,197,179,184,188,192,192,195,197,199,201,203,204,194,155,147,150,169,166,134,104,141,125,99,200,203,202,200,199,197,180,185,189,191,192,195,197,199,202,202,213,186,142,124,113,166,194,151,109,132,129,84,178,210,201,202,200,199,181,185,189,191,194,196,198,200,202,199,189,182,154,149,113,116,181,143,103,114,110,91,121,209,203,202,201,201,181,185,190,193,194,197,200,199,203,191,135,138,174,154,135,77,87,82,98,112,107,121,101,167,213,201,201,201,181,185,190,194,195,196,198,203,216,176,141,117,162,162,140,109,59,76,87,110,136,138,119,115,210,204,203,201,180,186,191,194,196,197,198,213,195,169,154,140,128,162,143,129,77,90,127,136,149,141,127,97,193,209,203,202,181,187,191,194,196,197,201,216,174,163,162,143,120,144,147,120,82,90,159,173,164,130,121,98,195,209,204,204,183,187,191,195,196,197,202,213,181,140,140,137,120,104,122,98,82,104,169,171,166,135,103,109,209,206,205,204,182,188,192,196,198,198,202,203,187,161,130,114,92,68,101,113,98,138,186,168,159,134,91,133,218,205,206,203,183,188,192,196,197,199,202,204,202,180,149,124,109,100,111,120,127,191,188,162,147,129,86,163,218,207,207,204,183,189,193,197,197,201,202,202,200,188,165,153,134,132,145,163,184,197,177,156,137,120,88,190,214,207,207,206,183,188,194,196,197,201,201,203,196,182,167,148,130,130,151,198,192,182,165,147,129,106,100,210,211,208,208,206,183,189,193,196,197,200,202,205,186,172,166,149,136,137,143,182,185,175,155,135,123,93,119,221,209,210,208,207,183,189,193,197,199,201,203,209,190,174,167,152,147,141,142,178,183,173,149,124,115,79,160,222,210,210,208,207,183,189,194,197,198,200,202,208,206,175,166,160,149,137,135,163,173,160,133,113,95,93,209,214,212,210,208,207,184,189,195,197,198,200,203,206,210,195,170,160,146,137,131,148,161,148,123,110,78,152,223,211,211,210,209,207,184,189,195,197,198,201,203,206,207,211,186,159,142,132,133,140,154,146,123,106,87,200,216,213,212,211,209,207,183,188,194,196,198,199,203,205,207,207,195,170,156,150,152,148,151,148,119,95,121,218,211,211,211,209,208,207,181,187,192,195,196,198,202,204,207,201,199,178,169,167,160,154,151,140,116,89,153,222,211,210,209,209,207,206
2,155,154,154,155,155,155,154,153,152,150,148,148,147,144,144,142,140,139,138,134,136,135,134,131,130,129,127,123,157,157,157,158,158,157,156,155,155,154,152,150,148,147,146,146,145,143,141,144,139,138,136,135,132,130,129,127,161,161,162,162,161,160,158,157,157,156,154,153,153,153,150,144,135,125,81,103,138,140,142,136,136,132,131,130,164,164,164,163,163,162,161,160,160,159,157,156,149,141,136,125,98,69,24,7,80,100,90,143,137,135,133,131,166,166,165,166,166,165,164,163,162,162,161,155,136,131,125,85,38,11,0,6,45,60,20,126,141,137,137,134,169,169,168,168,167,167,166,166,166,165,161,143,141,119,69,4,0,0,0,0,1,11,0,38,150,140,139,137,171,171,171,170,170,170,168,168,167,166,153,149,125,50,0,0,0,0,0,0,0,0,0,66,155,142,140,139,173,173,173,174,174,174,171,169,170,163,152,146,80,0,0,0,0,0,0,10,9,15,54,143,150,145,144,141,176,176,177,176,175,175,173,172,173,157,154,124,40,0,0,0,0,10,88,151,143,147,158,153,149,148,146,143,179,179,179,179,179,177,176,176,167,154,146,79,1,0,0,0,85,163,167,160,161,158,154,154,153,149,147,145,179,179,179,181,181,180,181,172,152,166,139,59,9,0,0,4,167,166,160,160,161,160,157,156,153,153,150,147,182,181,182,182,181,181,184,152,161,172,125,57,22,0,0,96,177,163,165,164,164,162,158,158,156,155,152,150,183,183,185,184,182,186,174,147,175,158,113,59,17,0,26,176,170,170,170,168,165,163,160,161,158,155,153,153,184,184,186,187,185,188,155,153,184,147,94,43,5,0,70,190,168,173,173,170,166,164,163,162,158,157,155,154,186,186,187,187,188,182,143,173,183,127,83,41,5,0,108,189,171,173,172,170,168,165,162,164,165,162,156,155,190,189,188,187,193,163,153,190,167,103,78,38,0,0,166,181,175,175,174,172,168,169,170,159,141,142,163,156,190,189,189,191,190,148,179,185,138,96,87,33,0,0,113,194,178,175,172,172,179,161,115,87,76,63,97,160,190,189,189,196,170,160,188,163,115,110,83,25,0,0,5,74,175,181,180,176,130,65,56,73,74,42,59,160,192,192,192,193,159,174,177,147,112,107,68,13,0,0,16,2,70,185,141,87,49,45,77,74,33,85,160,161,194,193,197,179,162,173,167,136,110,96,46,0,0,13,18,20,16,41,35,44,62,63,52,20,103,173,165,160,196,195,195,166,170,169,156,122,103,76,32,0,13,29,28,26,26,12,36,51,44,26,13,104,179,166,165,164,197,199,182,172,174,166,144,116,87,64,26,2,29,30,27,26,23,17,23,16,34,98,152,178,170,171,168,166,198,190,173,178,175,163,141,97,65,60,19,12,28,26,21,19,8,0,8,94,164,190,178,171,173,172,170,167,200,174,173,162,167,157,119,78,58,42,6,16,23,26,19,0,12,69,150,192,183,178,177,177,175,173,171,168,182,166,153,158,153,132,90,46,30,11,9,14,14,4,0,39,164,199,190,182,182,181,180,178,174,172,171,170,170,162,140,150,135,118,74,30,22,10,0,0,0,12,97,192,193,186,185,184,184,182,180,180,178,173,172,171,171,152,143,151,143,125,55,28,21,0,27,91,137,182,205,191,189,189,186,185,183,182,181,180,179,175,173,172,165,148,141,150,140,112,38,25,8,34,179,210,204,194,188,190,190,187,187,187,183,181,180,179,177,175,173,170
7,118,140,153,159,165,169,173,173,175,178,180,182,182,183,183,185,186,185,185,184,182,182,181,180,179,177,176,174,120,141,154,160,166,170,173,175,176,179,182,183,184,184,184,185,187,187,186,185,185,183,182,181,180,178,177,176,122,144,154,162,167,171,174,176,178,181,183,183,185,186,187,188,188,188,188,187,186,184,184,183,181,180,179,178,123,144,155,163,168,172,175,177,180,182,183,184,186,188,189,189,189,189,188,188,188,186,185,185,184,182,181,180,123,145,155,163,169,173,176,178,181,183,184,185,187,189,189,189,189,189,190,189,189,189,189,188,185,184,182,180,124,146,155,164,170,174,177,178,181,183,184,186,189,191,193,194,195,195,194,192,190,186,182,181,186,186,184,182,125,146,156,164,170,174,178,181,184,187,189,188,187,184,177,170,158,156,152,156,142,133,159,162,155,187,184,183,126,147,156,165,170,174,177,169,161,156,155,153,147,134,130,134,109,118,122,117,117,119,157,153,131,190,188,185,128,148,157,166,171,178,163,133,126,133,134,139,137,128,120,112,108,109,112,108,112,108,108,103,128,167,181,188,129,149,155,165,176,172,153,121,112,118,117,118,120,121,123,126,126,110,115,125,118,114,109,103,108,131,131,180,130,148,160,169,169,158,145,125,110,108,117,128,136,138,138,133,123,99,106,125,111,101,100,92,99,122,106,169,128,160,168,165,157,153,150,140,136,137,142,147,136,134,130,124,105,92,92,94,89,86,87,87,92,104,138,189,161,171,164,162,162,159,143,120,110,115,125,125,117,113,102,91,87,103,120,139,153,166,174,179,185,188,193,191,178,169,167,166,161,143,132,97,90,104,102,89,81,98,146,167,182,192,202,206,204,203,201,199,198,194,191,190,173,170,169,158,139,135,120,90,87,81,69,59,64,75,100,115,194,203,197,197,197,196,196,196,195,193,192,191,172,172,161,144,135,128,122,114,96,75,74,78,76,71,63,44,132,211,197,200,199,199,198,197,197,195,192,192,173,164,143,134,129,126,137,141,112,79,78,81,80,77,78,61,136,213,199,200,199,200,199,198,197,195,193,191,159,142,126,125,124,122,126,123,91,73,71,67,71,72,73,53,100,209,200,201,201,201,199,198,197,196,195,192,136,128,124,123,118,108,110,98,78,65,54,61,75,78,75,60,128,205,200,202,201,201,198,198,197,196,194,192,131,128,125,120,110,95,88,90,88,73,72,84,86,79,61,141,212,201,202,202,201,200,199,198,198,197,195,192,125,115,107,101,94,91,97,108,102,83,75,70,71,75,128,201,199,200,200,200,199,199,198,197,196,195,193,191,116,107,105,102,100,100,104,108,91,68,85,124,154,185,203,197,198,199,198,198,198,198,197,197,195,193,191,190,113,109,109,105,97,93,88,80,76,120,182,201,202,199,196,198,199,199,199,198,198,198,197,197,196,195,192,190,91,95,92,88,84,81,92,127,165,195,195,192,194,195,197,198,199,198,198,198,198,197,197,196,195,194,191,190,62,33,88,132,133,151,173,186,187,186,189,192,194,195,196,196,197,197,197,198,198,197,197,197,194,193,191,189,52,8,121,183,177,184,184,183,186,190,193,196,197,198,200,200,199,198,199,198,196,195,195,194,191,190,190,189,28,14,129,156,145,145,145,145,144,144,143,140,139,140,140,139,136,133,133,132,129,126,125,122,119,116,95,87,8,30,100,105,104,107,106,106,108,107,105,106,106,107,107,105,104,103,102,102,102,102,100,98,97,69,32,30
23,171,177,180,184,188,189,192,195,197,198,200,201,201,201,203,203,201,201,201,200,200,199,198,199,198,195,194,194,172,177,182,187,190,191,194,196,199,200,201,203,203,204,204,207,204,204,205,204,204,201,202,201,199,198,197,197,174,178,184,189,191,194,196,198,200,203,205,206,207,206,207,207,206,204,207,213,208,203,203,204,204,202,200,198,176,181,187,191,194,196,197,201,204,205,206,208,209,209,207,210,215,201,171,176,205,209,207,206,206,205,202,201,179,184,189,193,197,198,201,202,204,207,208,211,211,211,219,220,221,203,196,161,183,198,207,210,208,207,205,204,181,186,192,196,198,200,204,206,206,210,212,213,213,238,216,211,240,168,176,188,184,125,177,218,209,209,207,205,183,189,193,198,200,202,206,208,210,211,215,211,233,234,194,159,167,97,143,149,124,136,207,216,212,212,210,209,186,192,197,200,202,205,208,210,212,213,217,214,247,222,212,95,138,193,222,217,207,220,218,216,215,214,212,213,188,193,198,201,205,207,209,213,214,217,218,224,249,224,222,118,172,239,217,223,224,217,219,218,216,216,215,214,189,193,199,202,206,208,212,214,217,218,215,227,240,222,220,180,202,219,201,156,201,224,220,220,219,218,217,217,189,195,202,205,208,212,215,217,218,230,225,212,210,213,232,231,234,227,202,107,137,240,220,222,221,219,218,218,191,198,204,207,211,213,216,216,223,250,230,205,189,196,208,196,193,182,166,111,124,242,221,225,225,223,222,219,194,199,205,209,212,215,218,216,231,254,231,198,162,170,220,226,217,199,174,112,107,238,224,227,227,225,224,223,194,200,205,209,213,216,220,218,244,254,235,198,171,168,183,188,195,212,187,112,85,234,230,228,227,226,225,224,195,201,207,211,214,218,220,223,255,255,239,214,213,216,194,161,144,155,145,96,80,228,234,229,230,228,226,225,196,203,210,213,216,220,219,232,255,254,236,214,213,196,213,193,168,151,110,85,71,124,214,243,231,232,228,227,199,204,210,215,217,222,224,249,255,255,240,204,190,155,191,213,175,139,96,75,87,131,123,205,242,232,232,230,199,206,211,216,219,217,236,255,255,252,216,147,134,130,122,164,193,139,81,72,86,121,82,67,222,239,232,232,200,207,213,216,220,220,255,255,255,227,201,161,111,84,72,195,225,120,80,65,84,98,78,51,157,249,231,234,201,208,213,219,216,251,255,255,245,212,198,166,116,82,152,205,179,101,68,74,94,97,77,62,184,245,233,234,202,208,214,216,228,255,255,255,228,211,197,152,107,85,135,136,115,78,56,87,107,93,76,173,247,237,236,235,204,210,216,212,255,255,255,249,226,211,184,147,101,58,64,68,84,79,73,90,89,104,205,252,240,240,239,237,205,211,215,227,255,255,255,238,216,198,174,131,94,67,85,96,105,98,90,71,146,234,250,240,242,240,240,240,205,210,212,255,255,255,244,223,205,186,154,116,91,79,104,114,114,96,81,176,255,249,242,242,242,242,242,241,204,206,233,255,255,243,228,206,187,165,140,111,89,86,109,106,87,70,192,255,247,247,246,244,243,242,242,242,216,207,254,255,254,233,219,199,175,157,134,109,84,85,100,76,84,204,255,247,250,249,247,247,245,243,243,242,66,156,255,255,247,219,192,186,166,140,121,93,75,68,72,123,229,255,250,251,249,248,248,248,247,245,245,244,21,141,255,241,239,202,191,177,124,105,81,53,52,113,189,255,255,248,251,250,250,249,249,249,248,246,244,244
24,99,106,113,118,121,126,128,130,133,136,138,141,144,146,148,148,150,151,153,154,156,157,158,158,158,158,158,158,101,108,114,119,123,127,129,132,135,138,139,144,146,148,149,151,152,154,156,158,159,159,159,159,158,158,159,160,103,110,116,120,124,128,130,134,137,139,142,145,148,149,150,152,153,156,158,159,160,160,160,160,160,161,161,161,104,111,118,123,126,129,131,134,137,140,143,147,149,150,151,154,155,158,159,160,161,162,163,161,163,164,163,164,106,112,119,124,128,131,132,135,140,143,146,147,150,150,152,155,157,159,159,161,163,165,165,164,165,164,164,165,108,114,120,126,130,137,125,138,140,143,146,150,151,152,155,157,159,160,161,162,163,165,164,165,166,166,166,165,108,115,120,126,146,139,93,136,142,145,148,152,153,155,158,159,160,161,163,164,165,166,166,167,168,168,167,169,110,117,122,126,163,117,89,138,143,147,150,152,155,156,159,159,161,164,165,166,166,167,167,168,169,170,169,170,111,119,124,138,161,103,102,140,145,149,152,154,156,158,160,162,162,165,162,152,133,144,168,170,171,170,171,171,112,119,122,161,147,93,120,141,148,144,137,152,152,138,148,163,165,166,137,103,87,96,168,172,172,172,172,172,113,120,124,180,137,116,131,133,165,143,105,131,147,127,106,148,169,154,107,78,83,127,172,173,173,174,173,173,115,121,130,185,142,176,147,122,163,139,92,135,139,121,94,114,176,137,91,79,147,171,173,174,175,175,174,174,115,122,145,185,172,185,157,120,159,129,84,122,127,107,80,142,157,115,83,114,174,174,175,176,176,175,175,176,116,122,161,182,173,202,155,116,154,121,78,72,111,111,116,148,123,92,80,159,175,176,177,178,177,177,177,177,118,121,173,191,170,195,145,104,157,113,95,105,142,145,129,126,110,80,110,176,177,179,179,178,178,178,179,179,119,130,180,181,164,175,129,92,158,162,169,166,150,130,113,100,98,78,151,179,179,179,179,180,180,180,180,180,117,155,161,152,139,151,134,120,185,195,183,167,143,120,97,88,88,88,174,180,181,180,180,181,182,182,181,181,120,187,167,145,128,126,143,188,202,195,183,165,135,109,88,82,77,124,181,182,183,182,182,183,183,183,182,182,141,202,171,149,135,122,146,205,196,183,170,147,122,99,82,76,70,156,182,184,183,184,185,185,184,184,184,184,175,204,174,162,153,163,193,202,186,168,155,131,107,90,79,75,74,167,183,184,184,184,185,186,186,186,186,185,196,206,184,171,163,184,196,184,169,151,141,118,96,85,78,75,92,180,184,185,186,186,186,188,187,187,187,186,200,215,192,174,162,175,184,173,161,139,132,108,90,77,72,73,141,183,185,186,187,187,187,189,189,187,187,187,188,219,197,180,168,170,179,174,154,137,125,100,82,71,67,111,180,186,186,187,188,188,189,189,190,189,189,189,165,211,192,176,174,166,164,167,145,124,110,90,70,67,118,172,183,185,187,188,190,191,190,189,189,190,191,191,150,196,194,180,178,165,150,159,142,119,102,78,61,120,176,182,185,187,188,189,189,191,191,191,192,192,192,192,141,194,194,180,168,163,142,150,137,116,96,66,83,168,180,184,186,187,188,189,190,191,192,192,192,193,193,192,141,201,196,174,156,160,141,141,132,111,94,66,117,179,182,184,186,188,189,191,191,191,192,192,193,194,194,194,147,201,196,167,147,161,139,134,131,109,89,69,127,180,182,185,187,189,190,192,192,193,193,194,194,194,195,195
23,171,172,173,174,176,176,178,179,179,180,180,181,181,182,182,182,183,183,182,182,182,182,182,181,180,181,181,181,172,174,175,176,177,178,180,182,181,181,182,183,184,186,186,185,183,182,183,183,183,183,183,184,183,184,183,184,173,175,177,178,179,179,181,182,182,183,183,184,186,185,184,185,192,202,206,194,179,180,187,184,184,185,185,186,174,176,178,179,179,180,182,184,184,184,184,186,185,191,197,209,217,216,206,195,186,178,169,139,180,186,186,186,176,177,178,179,180,181,183,184,185,184,186,185,193,228,222,203,199,197,166,143,148,142,128,148,188,187,188,187,176,177,179,180,181,183,183,184,186,186,188,182,205,230,204,176,175,146,139,170,164,159,174,191,188,188,188,188,177,178,180,182,183,183,185,186,187,188,189,182,215,230,198,151,131,155,185,194,194,195,193,189,189,189,189,189,178,180,182,183,184,186,187,187,187,189,189,188,226,224,201,158,162,197,195,207,197,180,192,190,190,190,190,190,179,181,182,183,186,187,187,188,190,192,187,197,230,217,208,143,172,218,222,229,208,147,195,198,193,192,193,193,180,182,183,185,186,186,187,190,192,194,186,207,230,212,209,180,223,230,227,216,185,135,138,160,195,195,194,193,181,183,184,186,187,187,189,191,192,193,188,221,229,212,224,230,228,222,209,199,192,199,147,103,173,199,193,194,182,184,186,187,188,190,192,193,194,191,194,229,227,222,222,223,222,217,216,217,217,214,174,113,143,204,193,196,183,185,188,189,189,191,192,194,193,195,219,226,223,220,216,221,223,223,218,212,198,186,154,116,114,175,200,195,185,186,187,189,190,192,193,195,191,219,229,228,227,222,215,212,214,215,208,199,189,195,169,112,107,138,205,197,186,187,188,190,191,193,194,195,192,224,230,230,229,222,208,207,212,211,208,200,196,199,177,119,102,150,206,198,187,188,190,192,193,194,195,197,195,220,230,230,230,226,219,220,211,206,199,190,188,182,155,121,107,180,206,199,188,189,190,193,193,194,197,198,194,215,230,229,230,227,217,221,195,174,174,169,159,153,149,120,128,203,202,200,188,190,192,194,195,196,197,199,194,211,230,229,230,223,216,211,184,149,127,114,124,154,148,116,157,210,201,201,190,192,194,195,196,197,198,200,196,209,230,230,230,220,214,199,178,158,122,59,110,155,145,116,182,208,203,203,192,193,194,196,198,198,200,201,199,207,230,230,230,223,211,218,209,146,89,89,132,147,127,123,201,205,203,205,192,194,196,197,198,199,200,201,201,206,230,230,230,223,218,219,195,147,95,106,133,122,110,148,213,204,205,206,193,194,196,198,199,200,201,201,202,205,230,230,230,225,222,218,185,155,117,96,108,116,113,162,214,203,205,205,193,195,197,198,201,201,202,203,204,203,228,230,230,225,225,218,187,153,127,92,110,124,114,176,215,205,207,207,194,195,197,199,200,201,203,204,204,204,227,230,230,227,226,217,188,154,135,107,117,128,118,194,211,208,208,209,194,195,198,199,200,202,203,205,205,204,228,230,229,227,225,214,190,158,136,115,125,127,131,210,207,208,209,209,194,196,198,199,201,202,204,206,206,205,228,230,229,225,220,206,183,155,136,121,126,117,159,219,208,209,209,210,196,198,199,200,202,203,205,206,207,206,227,230,229,221,209,196,175,149,137,128,123,122,203,213,209,211,211,211,197,199,199,201,204,205,206,206,209,207,226,230,229,217,199,183,161,146,140,134,115,157,219,208,211,211,212,212
3,153,157,159,161,166,168,170,170,171,171,171,171,172,170,170,165,185,187,93,146,167,161,161,159,156,154,152,150,156,160,162,164,168,170,172,174,175,175,174,173,174,174,173,167,190,173,77,116,175,163,161,161,158,157,154,152,157,162,164,166,170,173,175,176,177,177,178,177,176,175,175,170,189,162,78,105,178,164,164,163,161,157,155,153,159,163,167,169,172,175,177,179,180,179,179,179,178,178,176,173,189,164,78,101,177,166,167,164,162,160,158,155,163,166,169,172,174,178,180,181,182,182,182,181,181,180,179,174,194,192,101,93,175,169,168,167,164,162,160,156,165,168,171,175,178,180,182,184,186,186,185,185,184,183,181,175,201,196,101,83,174,171,169,168,165,162,161,159,166,171,174,177,181,184,186,187,187,188,188,187,186,185,185,176,206,184,90,80,177,173,171,170,167,163,163,162,168,172,177,180,184,187,189,190,192,190,191,190,188,188,187,179,207,183,93,83,181,176,174,171,169,166,164,162,171,175,180,184,186,188,192,193,194,194,194,193,193,190,189,184,219,180,95,83,181,178,176,174,171,168,167,164,172,178,182,186,188,192,194,196,196,197,196,196,195,191,192,180,163,134,71,80,188,178,178,176,172,169,166,164,174,180,185,188,191,195,196,198,199,199,199,198,196,199,223,173,92,56,32,105,194,179,180,178,174,171,168,166,176,182,187,190,194,197,199,201,202,201,201,197,195,174,170,176,124,77,13,153,197,181,183,181,177,174,170,168,178,184,188,192,195,199,202,202,203,204,198,215,214,136,66,137,206,110,62,130,179,191,186,182,179,176,173,170,179,185,189,194,197,201,202,205,199,209,166,120,185,144,86,110,213,103,78,56,95,123,184,184,179,179,177,173,180,186,191,195,200,203,204,204,221,222,167,92,128,172,109,82,169,115,100,78,113,70,153,193,180,179,178,175,182,188,193,197,200,204,204,214,225,207,190,140,92,165,107,68,127,128,114,91,108,56,140,197,182,182,179,176,181,188,194,197,201,205,205,230,225,191,201,146,84,129,106,67,116,83,72,107,83,44,137,200,183,184,180,178,181,187,193,197,202,204,204,224,215,160,167,144,75,91,103,47,150,152,52,133,116,46,110,201,184,182,180,178,184,188,195,200,203,206,208,211,211,181,166,120,51,84,85,26,144,160,56,112,123,43,87,202,184,183,179,175,184,190,196,200,203,206,208,215,226,205,179,107,78,89,99,57,126,130,102,103,89,37,137,198,183,183,185,188,183,191,197,201,203,206,208,214,230,213,197,112,87,88,115,130,190,164,130,105,48,69,200,198,200,196,172,122,186,194,200,205,207,211,214,216,230,224,192,131,109,97,171,204,177,140,96,88,44,147,207,159,128,95,42,12,126,127,129,131,133,133,130,130,211,219,181,157,124,114,184,193,153,116,87,73,46,80,56,12,0,0,0,4,96,99,98,99,98,95,97,80,168,218,182,161,140,103,144,157,123,93,74,52,17,0,0,0,2,0,0,0,106,107,106,106,106,107,119,82,79,215,184,161,139,93,95,93,85,70,51,17,0,1,2,0,0,3,0,0,107,107,105,104,105,105,107,76,11,108,175,164,114,71,74,71,73,42,0,16,0,0,0,0,0,0,1,0,108,110,110,108,108,108,101,47,28,22,69,103,80,75,66,58,43,0,0,0,9,0,0,0,0,0,0,0,108,109,109,108,106,110,79,31,33,30,16,30,64,56,33,23,0,0,0,0,10,0,0,0,0,0,0,0
15,78,80,80,81,83,85,86,88,91,95,104,116,127,136,143,149,152,153,154,159,163,167,170,172,175,177,178,180,81,80,79,81,83,86,86,89,91,95,104,117,127,137,142,147,151,153,156,159,163,168,171,173,176,178,179,183,83,80,80,80,82,87,88,90,91,96,107,118,127,137,142,148,153,156,159,161,165,168,172,174,175,178,182,183,83,80,80,81,82,85,80,86,93,97,108,118,127,136,144,150,153,156,159,162,167,169,174,175,178,181,184,187,82,80,80,81,80,82,128,106,88,92,108,120,131,137,143,151,154,156,158,161,166,169,174,176,178,183,184,187,82,80,79,82,74,103,203,170,141,117,109,117,126,137,148,153,156,156,158,162,166,171,174,177,181,182,184,186,82,81,80,81,77,90,168,174,158,164,148,144,131,127,135,144,149,155,159,166,172,173,175,177,181,182,184,188,81,81,81,82,83,78,97,132,117,135,149,157,156,151,135,134,132,136,140,143,152,164,174,183,180,184,186,188,81,80,81,81,82,84,83,90,94,107,120,118,142,157,151,146,141,146,149,141,122,118,107,149,190,182,189,190,81,80,81,81,82,84,88,90,90,99,107,103,112,135,133,131,123,139,166,171,148,127,104,73,150,196,185,191,81,80,80,81,81,83,87,90,90,99,113,123,129,129,127,127,108,137,163,167,154,143,135,98,84,171,193,189,82,80,80,80,82,84,86,89,90,98,112,121,133,142,145,145,138,173,169,161,165,161,151,131,100,88,180,195,82,80,80,80,81,84,86,88,92,100,107,123,134,138,151,155,175,199,154,141,178,158,163,155,126,81,93,191,81,80,80,80,82,85,85,89,92,93,140,147,141,141,131,152,190,150,136,110,184,139,173,175,132,101,69,110,80,80,80,80,82,82,84,88,89,95,174,165,165,172,157,123,130,111,76,86,171,121,177,175,134,107,84,67,80,79,80,79,80,83,85,87,90,98,137,140,170,195,174,127,126,129,97,98,140,139,169,167,135,113,86,77,80,79,79,78,78,82,85,86,89,98,111,127,152,179,149,130,151,144,139,140,133,131,117,135,127,106,84,77,78,78,77,78,77,79,80,83,87,97,112,121,136,134,113,135,152,145,145,158,155,127,86,90,104,93,87,82,77,73,75,76,78,79,79,81,85,97,112,122,122,168,143,106,122,146,154,158,154,119,84,83,88,85,88,90,76,73,73,74,76,78,80,82,86,96,111,125,118,191,188,108,49,68,130,144,146,114,86,88,88,85,91,91,76,74,73,73,76,76,80,81,86,99,111,124,123,176,175,103,52,40,58,121,121,93,85,89,89,89,92,93,76,73,72,72,75,76,78,78,85,98,111,124,122,173,177,85,78,85,45,86,119,91,89,93,98,96,93,89,73,72,70,71,73,76,79,76,83,93,109,122,123,166,175,69,125,108,88,95,113,129,113,110,101,96,91,86,72,71,69,69,72,73,76,77,83,94,106,119,119,166,183,55,125,163,81,131,118,122,100,95,90,88,89,88,66,64,62,61,65,65,67,68,72,87,102,115,114,174,169,56,107,192,98,96,170,86,88,82,71,76,78,78,127,124,120,116,113,112,110,111,113,118,126,131,131,157,111,74,144,168,100,116,178,144,164,131,61,58,60,59,106,106,104,103,101,103,106,109,109,106,104,99,98,105,79,89,113,109,97,111,116,120,117,117,85,63,63,73,94,93,93,91,91,91,92,91,90,92,92,86,85,89,96,97,91,90,95,94,92,90,89,90,96,91,97,94
18,172,173,174,175,176,178,179,178,178,179,180,179,178,178,178,177,175,175,177,176,174,173,173,172,172,171,169,168,173,176,177,177,177,178,180,181,180,180,180,180,180,179,179,179,177,177,177,177,177,175,174,174,173,172,170,170,174,178,179,179,179,179,181,182,181,182,181,181,181,181,180,180,180,179,178,180,179,176,174,174,174,173,172,171,175,178,180,181,181,181,182,183,182,184,185,182,183,182,183,181,182,179,183,164,168,178,178,177,175,174,174,173,178,180,182,181,182,183,184,185,185,186,186,185,185,186,185,183,182,185,206,136,129,184,179,178,177,176,175,174,180,181,182,183,184,185,186,187,186,187,187,186,185,182,182,186,176,190,214,141,91,181,181,180,178,179,177,176,181,183,184,185,186,188,188,188,188,188,187,190,196,160,130,153,139,157,216,171,90,132,188,181,180,181,179,178,183,185,185,187,188,189,189,191,190,190,189,190,197,186,144,113,122,163,216,182,115,81,160,185,181,181,180,180,184,185,186,188,189,191,192,192,192,191,195,165,124,151,168,126,93,122,185,183,140,114,91,165,187,183,182,180,185,187,188,189,191,192,193,192,197,210,199,168,131,88,156,137,94,73,102,159,153,124,90,105,192,183,184,181,186,188,189,191,192,193,193,191,221,216,216,176,142,94,106,127,85,57,61,155,173,131,100,95,191,185,185,184,187,189,191,193,193,195,192,208,210,198,216,178,148,103,69,89,76,54,54,163,180,150,100,98,193,186,186,185,187,190,193,194,195,195,199,230,210,179,193,168,142,98,64,75,63,54,51,141,178,160,103,90,193,189,188,186,190,192,194,195,195,197,218,208,183,179,182,128,104,83,71,96,53,52,63,149,180,160,106,88,194,188,189,188,191,193,195,197,194,207,232,206,168,144,153,97,87,68,93,98,82,126,131,147,167,144,100,84,195,190,189,189,193,194,195,197,196,210,235,216,190,138,115,127,90,33,104,146,175,176,169,130,131,125,101,75,187,193,191,190,194,196,197,199,196,221,234,222,194,150,119,121,75,58,188,204,195,170,153,136,101,116,103,72,183,195,193,193,194,196,198,200,200,229,232,212,169,146,131,115,87,167,215,204,190,164,134,134,102,100,89,82,194,194,193,193,196,197,199,199,206,230,231,204,170,159,123,97,149,210,209,196,177,157,136,124,108,89,68,136,201,196,194,193,195,197,199,200,210,232,228,199,171,166,123,134,185,216,201,186,174,157,129,117,103,79,72,190,197,196,195,194,196,197,199,201,212,230,223,201,183,177,125,164,182,205,193,176,168,147,116,108,92,62,120,202,197,196,195,195,197,199,201,201,212,226,219,203,194,161,130,139,178,183,180,168,156,132,110,96,79,63,180,202,198,197,195,195,197,200,201,200,212,225,218,211,189,146,114,136,164,170,166,161,143,121,99,84,57,124,205,199,199,198,197,197,199,200,202,202,216,215,211,204,166,123,113,146,156,166,159,147,130,105,83,63,79,194,202,201,202,200,198,198,199,199,202,203,220,212,207,192,166,145,141,147,159,162,153,132,116,94,70,61,173,205,202,203,202,201,199,198,202,205,203,205,228,223,221,206,192,173,154,135,154,157,139,114,100,80,56,149,209,203,203,203,201,201,200,199,171,158,194,216,230,222,220,206,184,164,149,126,144,147,123,103,89,62,135,209,205,204,203,203,202,201,201,200,108,74,84,179,222,220,215,200,176,148,142,125,139,132,111,95,67,113,210,208,206,205,205,204,203,203,202,201
7,159,163,168,171,174,176,177,177,177,178,179,180,179,179,179,178,178,178,177,177,176,175,175,164,179,186,191,194,164,169,173,175,178,179,180,181,182,183,183,183,183,182,181,180,179,179,178,177,176,175,175,174,182,149,195,195,171,174,178,181,183,184,186,187,187,187,188,187,186,185,184,185,184,182,181,180,179,178,176,177,172,155,196,195,177,180,184,187,190,190,192,192,192,192,192,192,191,190,189,189,187,187,185,184,183,181,180,178,184,194,187,194,182,186,190,193,195,196,197,197,198,197,197,197,196,195,195,194,192,192,190,188,188,185,183,182,181,170,153,191,187,192,196,198,200,202,202,202,202,202,202,203,202,201,200,199,199,197,196,194,193,190,187,185,184,176,169,194,191,196,200,203,205,207,207,207,207,207,208,207,207,206,205,203,204,202,201,200,197,195,192,190,188,185,185,199,196,200,205,207,209,210,212,212,212,212,212,212,211,210,210,208,208,207,205,203,201,199,197,195,193,191,193,207,201,205,209,211,214,215,216,217,217,216,216,216,215,215,214,213,213,211,210,208,206,204,201,199,197,194,195,210,206,210,214,217,220,218,210,191,174,185,194,199,198,195,193,190,197,204,209,210,210,208,205,203,201,197,199,212,210,214,218,219,217,214,202,166,122,135,160,174,169,169,167,158,151,158,165,165,180,190,203,206,204,203,203,214,214,217,216,214,213,208,196,164,132,132,141,153,153,156,158,148,131,140,145,143,152,157,181,185,204,169,175,215,213,213,213,217,216,211,197,160,125,133,139,148,145,148,153,145,130,125,130,138,144,151,171,163,180,90,132,217,217,218,218,222,219,212,192,154,110,116,132,149,156,151,154,142,138,132,141,151,138,139,144,155,159,96,89,155,222,219,219,222,217,209,191,145,110,119,126,135,139,142,141,138,133,128,138,150,141,140,142,159,170,139,84,73,222,222,220,221,220,213,207,163,104,98,95,89,117,137,136,133,133,137,141,141,131,127,126,127,140,118,81,69,224,220,217,221,213,207,213,171,103,89,92,85,112,166,217,219,218,214,190,138,87,83,82,81,82,76,72,70,217,212,209,210,198,198,196,155,107,95,98,98,91,93,185,200,152,122,90,67,59,54,54,65,64,65,69,69,211,209,203,198,192,191,187,152,103,87,96,108,104,91,90,76,60,60,68,65,57,57,54,55,58,58,65,66,204,200,195,191,190,191,196,161,99,69,59,88,98,89,84,67,57,50,61,70,59,49,55,56,55,60,54,35,191,187,190,189,188,187,183,154,99,74,64,72,89,99,99,68,57,56,48,62,66,53,44,50,54,62,34,12,181,174,172,168,164,161,148,122,97,84,74,65,47,63,70,46,45,62,50,47,60,64,49,40,44,45,38,30,169,157,142,134,130,129,124,103,89,76,53,67,40,33,52,54,38,54,59,47,50,59,59,42,40,38,40,37,153,146,129,124,122,136,128,81,54,60,33,58,55,26,41,58,47,41,57,56,47,48,57,51,37,38,38,38,126,136,140,152,182,189,99,72,51,52,35,42,60,32,28,53,57,39,48,57,50,45,45,52,39,34,37,37,119,206,222,235,229,128,68,72,57,40,41,30,53,46,20,43,59,46,43,50,52,44,39,43,45,30,33,36,74,170,174,178,141,73,67,58,46,47,36,25,38,54,22,29,53,53,45,46,47,43,36,37,43,34,27,32,53,130,133,118,88,65,59,55,34,47,39,19,26,55,32,18,46,56,47,46,43,42,35,34,37,39,25,27
1,168,169,170,170,171,170,170,171,170,167,168,168,166,164,162,159,158,161,157,157,156,154,151,148,156,81,0,0,169,170,172,171,173,173,172,172,171,169,169,169,168,164,165,169,158,130,157,159,157,156,155,150,158,47,0,0,172,172,174,174,175,176,175,174,173,174,171,169,168,169,151,139,166,82,124,169,161,157,156,152,159,28,0,0,174,175,176,177,178,177,176,175,175,175,172,172,170,174,147,59,119,89,77,126,130,164,156,153,159,60,0,0,176,176,178,179,179,179,177,177,178,176,173,168,163,185,143,53,81,83,74,123,65,158,159,154,166,60,0,0,178,178,179,180,182,181,179,177,178,176,177,165,100,121,132,42,103,102,74,133,50,139,165,154,166,70,0,0,178,180,183,183,183,183,182,181,180,177,184,154,70,68,139,45,104,120,51,113,45,129,168,156,165,117,49,65,179,182,183,184,183,183,184,183,183,180,186,146,61,75,129,45,72,95,54,137,56,116,172,159,163,129,136,143,181,184,185,186,186,186,186,185,183,181,194,153,73,63,99,38,71,73,57,145,66,96,175,161,164,130,125,91,183,185,187,187,187,187,187,186,186,184,200,136,69,69,100,41,100,87,53,124,59,92,178,163,165,145,124,67,185,186,189,190,189,189,189,188,187,186,196,134,65,87,121,48,84,88,48,118,57,98,180,165,166,158,137,118,186,187,191,192,191,190,191,190,188,191,202,141,96,60,90,28,55,53,72,136,71,99,180,165,166,164,143,133,187,190,191,191,191,192,191,191,188,195,189,132,75,34,35,20,50,16,72,126,68,90,182,166,167,166,160,128,189,191,193,193,193,193,192,192,190,197,181,132,106,99,79,73,48,52,83,94,41,105,185,168,168,166,166,151,192,193,192,194,194,194,194,195,189,209,195,152,142,109,166,106,104,97,125,89,24,149,180,172,170,168,167,167,192,193,194,196,197,196,196,197,192,222,182,145,113,71,134,136,138,121,113,87,51,168,177,173,171,169,168,165,193,194,196,198,199,199,199,197,200,220,170,114,85,57,35,101,131,106,120,113,55,127,187,173,172,168,168,165,195,196,198,200,200,200,201,197,204,226,179,133,101,54,36,29,67,84,153,143,74,78,189,172,174,171,169,166,197,198,198,200,202,201,202,199,208,220,176,150,95,67,60,31,128,115,123,168,104,41,160,181,174,173,172,168,199,200,201,202,202,203,203,200,211,212,177,153,80,77,45,93,180,157,123,138,117,34,102,191,172,174,171,168,199,201,203,203,203,203,204,201,209,209,185,155,75,81,57,156,183,159,133,100,89,48,73,191,174,175,171,169,200,203,203,205,206,204,206,203,208,208,187,136,87,66,89,187,180,154,116,100,63,29,114,190,175,176,174,169,202,203,204,206,206,207,208,204,210,204,180,130,109,51,116,190,166,141,104,87,60,24,169,185,177,176,173,173,202,203,205,207,206,206,205,203,203,196,172,139,118,54,137,184,151,126,101,77,31,69,196,180,180,177,174,175,200,202,203,203,202,203,202,201,197,190,167,149,125,67,139,168,133,117,96,60,14,149,191,178,178,174,174,173,201,203,204,206,205,209,212,201,195,194,165,156,122,64,127,146,116,101,79,17,72,196,181,180,179,184,187,117,203,205,205,205,211,195,174,209,187,177,169,156,89,59,100,116,93,75,31,35,181,187,187,189,175,153,97,24,202,205,205,204,221,131,25,90,139,144,138,105,52,58,76,89,65,38,7,150,199,187,168,101,44,11,0,9
10,148,151,154,158,160,163,165,166,166,167,169,169,171,170,171,171,171,171,171,172,171,171,172,171,171,171,169,168,150,153,157,160,163,165,167,169,169,171,172,172,174,173,174,173,174,174,174,174,174,173,174,174,173,173,172,172,154,157,160,163,166,168,171,172,174,174,174,175,177,176,176,179,178,177,177,177,176,176,177,177,177,176,175,175,156,160,163,166,169,172,174,175,177,178,179,179,178,181,178,144,180,181,180,180,178,180,180,180,180,180,179,177,158,161,165,168,172,175,177,179,180,180,181,181,180,184,194,124,155,190,180,181,181,182,183,183,183,181,181,180,160,164,168,171,174,177,180,181,181,183,184,185,185,183,198,166,123,185,185,184,184,186,185,185,185,184,183,182,163,166,170,173,176,180,181,183,184,184,185,186,189,187,195,195,136,161,194,186,186,187,188,188,187,187,186,184,165,168,173,176,179,181,183,184,186,187,187,187,183,181,197,216,173,133,193,189,189,189,189,189,189,188,188,187,166,170,174,179,181,184,185,186,186,189,188,195,181,118,166,223,202,127,168,197,192,194,192,193,192,190,189,188,168,171,176,180,182,185,187,188,190,191,191,196,199,140,105,204,215,146,136,202,192,195,194,194,194,193,193,191,170,175,178,180,184,187,188,191,192,193,194,192,215,203,149,150,201,170,117,199,194,196,197,196,196,195,194,194,171,176,179,182,185,188,189,192,194,195,194,207,189,229,196,119,136,190,105,187,199,198,199,198,198,197,196,196,173,176,180,183,186,189,192,193,194,195,205,207,147,156,199,134,92,132,101,169,206,197,200,199,199,200,199,199,173,176,181,184,187,191,193,195,192,210,217,191,144,68,158,170,105,76,81,123,209,200,201,201,200,200,201,200,174,178,181,185,188,192,194,195,193,211,225,153,98,34,101,167,134,84,72,87,191,206,201,202,201,201,201,201,175,179,182,187,190,194,194,199,209,188,219,179,112,40,78,155,158,126,84,78,169,211,202,204,204,202,201,201,175,179,184,188,191,194,194,201,224,206,189,220,187,83,91,182,173,152,94,70,158,215,203,206,207,204,203,202,177,179,183,188,192,195,196,198,200,225,195,175,205,155,144,201,178,156,102,65,154,217,204,207,207,205,205,204,175,179,183,187,191,193,194,200,177,186,188,129,179,184,121,205,179,147,112,68,147,218,205,207,207,205,205,205,176,180,184,186,190,193,194,198,210,179,162,140,120,166,189,216,188,146,103,72,147,217,205,207,206,204,204,204,176,180,184,187,190,193,194,197,219,209,165,150,144,219,232,213,182,136,99,75,155,217,205,206,206,205,205,206,176,180,184,187,190,193,196,195,209,217,185,180,176,228,218,200,171,121,99,79,146,218,205,207,206,206,206,206,178,181,185,188,190,193,194,196,202,216,196,207,183,223,210,181,158,123,114,90,136,218,205,207,207,207,206,206,176,181,187,190,194,197,199,202,204,210,208,216,185,199,205,176,162,135,139,97,147,221,207,209,209,208,207,207,112,117,122,124,129,136,140,141,142,203,219,213,195,172,192,177,175,150,137,94,149,203,196,201,203,205,206,207,98,98,96,93,94,95,97,99,91,154,217,198,186,170,172,182,192,153,121,95,100,109,111,114,118,120,120,123,103,104,104,108,110,109,107,107,106,110,195,181,175,169,167,186,192,150,113,93,108,108,105,106,105,104,103,102,102,102,102,105,105,108,106,104,108,97,169,187,174,173,180,176,181,150,109,93,118,116,113,118,117,117,118,119
18,155,156,157,158,159,160,161,161,161,162,162,162,161,161,161,160,158,158,159,158,157,155,156,155,154,154,152,151,156,158,160,160,160,161,163,163,163,163,163,163,163,161,162,162,160,160,160,159,160,158,157,156,156,155,153,152,157,161,162,162,162,162,164,165,164,165,164,164,163,163,163,163,163,162,160,164,162,159,157,157,156,156,155,154,158,161,163,164,163,164,165,165,165,167,168,165,166,165,165,164,165,161,167,147,151,162,160,160,158,157,157,156,161,163,164,164,165,166,167,168,168,169,169,168,168,169,168,165,164,167,194,114,109,171,160,161,160,158,157,157,163,164,165,165,167,168,168,170,169,170,170,169,167,165,167,171,157,174,202,120,69,168,163,163,161,162,159,159,164,165,167,168,169,171,171,171,170,171,170,173,180,140,109,138,118,136,204,156,66,114,176,161,164,164,162,161,166,168,168,170,171,172,172,174,173,173,172,172,183,172,125,93,101,147,203,164,96,56,146,171,162,164,163,162,167,168,169,171,172,173,175,176,175,173,179,148,101,135,155,108,73,104,172,169,121,97,69,150,172,165,165,163,168,170,171,172,174,175,176,175,179,195,181,152,112,64,140,122,74,52,81,142,136,108,67,83,180,164,167,164,169,171,172,174,175,176,177,173,205,202,200,157,127,73,86,113,64,39,38,136,157,113,79,76,178,166,168,167,169,172,174,176,176,179,174,192,192,180,201,160,132,83,48,70,58,35,33,149,165,134,78,79,179,167,168,168,170,173,176,177,179,178,182,217,194,162,175,151,127,79,45,56,45,36,30,122,163,144,81,70,180,170,171,168,173,175,177,178,178,180,202,192,163,164,167,108,86,63,51,83,31,28,43,132,163,145,85,69,181,170,172,171,174,177,178,180,176,191,217,188,146,128,139,75,69,50,76,78,59,110,113,129,153,127,78,65,181,172,172,172,176,177,178,180,178,192,220,199,175,120,93,112,73,8,84,128,160,161,155,111,112,109,82,55,172,176,174,172,177,179,180,183,178,205,218,205,179,132,98,108,54,32,176,190,178,151,135,118,80,99,86,50,166,180,175,176,177,179,181,183,183,213,217,196,150,129,115,99,64,152,204,185,173,147,113,118,83,82,70,60,181,176,176,176,179,180,182,182,189,214,215,187,152,143,106,72,132,197,190,179,159,139,117,107,90,73,45,118,189,177,177,176,178,180,183,182,193,216,212,182,152,151,104,114,172,200,183,169,157,140,110,99,85,59,51,175,181,179,178,177,179,180,183,184,195,214,206,183,165,163,104,148,165,189,176,158,152,129,97,89,77,38,101,191,178,179,178,178,180,182,184,183,195,210,203,186,177,145,111,120,163,165,164,150,139,114,91,78,62,40,165,186,180,180,178,178,180,184,185,183,195,210,201,196,174,129,94,117,147,153,148,144,125,103,81,70,33,105,194,180,183,181,180,180,182,184,185,185,199,198,193,188,148,101,93,130,138,149,142,129,112,86,66,42,56,182,184,184,185,183,181,181,181,180,185,185,204,195,189,174,148,126,124,129,142,145,135,114,98,77,52,36,160,191,183,186,185,184,182,181,187,193,186,187,212,207,206,190,177,158,137,115,137,141,121,95,82,64,29,133,197,184,187,186,185,184,183,182,154,138,181,202,214,205,204,189,166,146,132,106,126,131,104,85,72,37,117,198,186,187,186,186,186,184,184,183,88,50,62,162,207,203,198,183,158,129,124,107,121,115,91,79,44,94,201,188,189,188,188,187,186,186,185,184
1,62,65,79,96,109,115,118,124,129,132,134,137,141,144,144,150,149,148,149,150,150,151,151,151,153,153,153,153,62,67,82,98,111,117,120,126,132,136,139,141,143,153,155,118,152,154,155,153,154,154,154,155,156,155,154,154,64,70,85,102,114,119,123,130,137,141,143,145,149,166,172,87,136,129,144,161,157,158,158,158,158,157,156,156,66,72,88,105,117,121,127,135,141,144,150,163,114,164,173,85,129,132,100,169,161,162,163,162,162,161,159,159,66,74,92,107,118,124,129,139,144,146,157,181,95,149,173,80,129,152,81,157,170,167,167,165,166,165,164,163,67,76,96,110,122,126,132,141,147,151,160,186,101,139,179,92,132,159,82,141,177,169,170,170,169,169,168,167,68,79,99,114,126,129,136,144,150,153,165,191,108,125,171,96,134,172,96,131,183,172,174,174,173,173,172,171,69,81,101,117,127,132,137,146,154,161,130,185,116,106,154,97,133,168,100,126,188,176,177,177,177,176,176,174,69,84,105,120,130,134,141,148,166,170,98,174,120,88,162,105,126,177,110,126,192,180,181,182,182,180,179,179,70,87,108,123,132,135,146,151,177,162,92,177,129,78,152,100,124,187,120,127,195,184,186,186,185,184,182,182,71,89,109,125,134,137,148,154,181,161,85,169,146,82,124,119,124,168,124,122,199,187,189,188,188,186,186,185,72,91,112,127,135,140,150,156,188,172,82,140,167,132,136,141,122,115,103,119,201,189,191,190,191,190,188,187,73,93,113,129,139,142,153,159,190,176,84,119,134,139,143,109,115,144,98,121,207,191,195,194,194,193,192,192,75,96,117,133,141,145,157,162,187,179,125,138,82,122,103,88,159,181,158,118,182,202,194,196,196,195,194,195,76,99,120,137,143,148,159,165,196,184,140,118,83,109,77,123,172,177,182,130,100,192,201,199,198,198,198,196,78,101,121,138,146,151,162,169,205,183,135,101,88,114,118,174,193,181,162,110,76,128,211,199,202,201,201,200,79,103,124,140,146,152,164,172,210,192,138,97,101,123,137,191,202,188,150,104,73,112,211,201,202,202,203,202,81,106,126,142,149,154,167,173,212,203,149,99,111,135,157,190,200,185,148,108,64,131,217,203,206,204,202,207,84,109,129,144,150,157,169,174,208,208,169,109,118,143,163,201,201,177,140,107,63,150,219,203,207,214,218,203,87,112,132,147,152,159,172,176,205,212,186,123,125,147,159,205,198,174,129,100,61,166,215,214,211,180,125,70,90,114,134,149,154,162,173,178,200,208,195,137,139,138,156,196,192,167,119,94,63,181,223,159,88,49,31,36,92,116,136,151,155,163,175,181,191,199,200,151,153,133,158,185,187,156,113,85,71,205,137,47,27,32,35,28,94,117,138,152,156,163,174,182,184,192,199,166,156,139,144,183,170,145,103,78,86,119,42,49,39,15,32,36,95,119,140,152,156,164,173,180,183,187,192,172,161,151,129,165,158,133,98,80,62,31,24,46,52,11,15,40,96,121,142,154,156,166,176,182,188,182,189,179,167,162,133,139,157,124,97,77,48,42,23,20,51,27,4,26,98,122,144,156,158,168,177,184,191,185,190,187,175,163,129,125,145,121,92,67,52,42,31,5,32,44,4,10,96,122,145,157,160,170,178,185,191,189,192,177,159,153,131,126,124,111,82,61,56,32,30,9,14,43,19,0,108,125,142,150,156,165,171,180,187,184,191,184,156,159,150,125,111,105,78,57,51,41,23,14,4,30,32,0
1,172,174,176,177,177,179,180,179,180,180,181,181,183,183,183,183,183,183,181,182,183,183,182,181,180,182,181,180,175,179,181,180,182,182,182,183,184,186,185,185,185,187,185,186,185,187,187,185,184,184,185,185,184,183,181,182,180,183,183,184,186,187,186,188,188,189,190,191,190,188,191,189,192,180,180,191,188,189,188,187,186,184,184,183,185,187,187,190,189,190,190,192,193,194,194,193,195,195,159,183,210,175,126,200,192,191,191,190,189,189,188,187,188,191,192,195,194,194,194,195,195,197,199,196,205,208,121,177,215,160,120,198,189,198,195,194,192,191,191,190,191,194,195,198,198,198,198,200,199,200,197,188,217,194,121,189,211,139,140,197,136,181,203,196,196,195,195,194,195,196,197,198,202,202,201,203,203,207,190,145,197,174,125,206,205,125,160,208,121,162,211,199,199,198,197,197,197,199,200,203,205,204,206,205,203,217,187,128,177,170,134,216,209,134,181,210,121,163,214,202,203,201,200,200,200,203,204,207,209,209,207,209,207,219,168,130,174,161,144,208,193,131,198,205,115,169,215,205,206,205,204,203,203,204,207,209,210,212,211,211,210,225,163,140,161,145,127,201,170,128,214,206,121,181,217,211,210,208,208,206,205,207,210,211,212,212,214,215,212,226,154,134,161,155,118,217,165,143,223,190,124,194,217,212,212,212,211,210,208,211,212,213,214,214,215,216,218,229,165,122,161,156,121,221,160,158,223,178,121,207,219,214,213,213,212,211,210,213,215,216,217,218,218,216,220,231,170,107,142,125,110,195,132,186,227,179,130,220,220,218,216,215,214,213,212,214,217,219,219,220,220,218,225,231,173,133,173,189,169,195,174,161,210,168,143,230,219,220,219,219,218,215,215,217,217,219,220,222,221,220,232,227,183,154,136,191,219,212,211,149,150,151,158,234,222,223,221,220,219,218,216,219,219,220,222,224,224,223,240,214,169,140,111,120,153,177,225,204,128,95,180,236,222,225,223,222,221,220,219,220,222,223,224,226,226,227,246,217,168,129,120,124,128,170,240,235,170,89,201,234,226,226,226,226,224,222,219,222,224,226,226,228,225,232,246,211,162,134,133,140,183,207,204,227,189,114,209,234,227,227,226,226,226,226,221,223,224,227,228,230,226,235,243,208,168,134,146,150,214,230,207,185,165,113,173,242,227,230,229,228,226,226,222,223,226,228,229,232,228,237,244,211,172,149,149,178,239,228,199,173,133,98,180,244,230,231,231,231,228,227,225,225,228,229,229,231,230,238,242,210,173,161,147,196,247,231,185,156,121,94,210,242,233,233,233,232,230,227,225,228,228,230,231,231,232,235,238,210,184,171,148,193,247,220,173,143,107,117,234,235,234,234,233,233,233,230,227,229,229,231,231,233,233,234,233,212,190,183,145,197,238,200,160,130,95,179,246,235,235,235,236,237,234,234,227,230,232,231,233,234,235,236,237,217,192,182,144,206,221,189,155,114,110,229,240,238,236,236,237,237,234,234,227,231,234,233,234,235,234,236,242,218,198,170,146,199,188,171,142,97,152,250,238,240,240,239,239,238,236,235,228,230,232,235,234,237,229,236,242,236,208,166,159,188,168,159,130,96,208,248,240,242,242,240,240,239,236,236,228,228,230,232,234,233,228,240,238,234,208,173,172,176,162,149,106,147,245,242,242,242,242,241,241,240,238,237,229,230,232,232,233,228,230,229,214,216,199,171,168,155,150,118,112,223,246,242,242,242,242,241,240,240,238,237
22,25,61,79,82,86,89,93,104,119,129,136,139,142,146,149,152,156,157,159,162,163,163,165,164,163,164,163,162,25,64,80,83,87,91,94,105,120,131,137,140,143,147,151,154,157,159,162,146,157,165,166,166,165,165,163,162,28,69,81,84,88,92,94,107,122,133,138,142,144,149,153,157,158,161,170,114,138,168,160,153,167,166,165,164,31,72,82,85,88,92,96,108,123,133,140,144,148,146,155,159,159,168,171,109,142,171,145,117,165,167,167,166,36,74,82,86,90,93,97,110,124,134,141,155,155,113,152,160,161,177,172,108,150,178,136,116,169,170,168,168,41,76,83,87,90,94,98,111,126,138,143,157,146,96,146,162,162,184,168,110,160,184,132,127,173,172,171,170,47,80,84,88,91,94,100,112,128,138,145,153,150,100,138,164,165,181,155,110,169,184,127,142,175,174,173,172,53,81,85,88,92,95,101,115,128,139,147,151,154,107,126,166,167,174,143,107,175,178,117,153,177,175,174,174,57,82,86,89,93,96,102,117,129,141,148,150,157,117,112,163,170,168,133,110,185,161,108,164,178,177,177,177,61,83,86,89,93,96,102,117,132,142,148,149,158,123,97,152,169,155,125,112,189,145,113,174,179,179,179,178,67,84,87,90,93,96,103,119,132,143,149,150,162,147,105,135,162,142,115,127,187,130,122,179,180,181,181,179,72,85,87,89,93,97,104,120,132,143,149,151,161,166,114,112,147,142,133,168,177,116,134,182,182,182,182,182,78,86,87,89,93,97,105,120,133,144,151,160,142,143,102,101,135,160,184,189,159,106,150,184,183,183,183,183,81,86,87,90,93,97,105,121,133,144,155,167,141,127,105,113,138,173,193,184,147,103,164,185,185,185,185,184,83,86,88,91,94,98,106,121,133,144,153,162,172,168,132,96,115,154,175,174,143,102,172,187,187,186,186,186,85,86,87,90,94,97,107,123,135,145,153,171,183,183,135,98,95,121,142,150,129,100,172,189,188,187,187,187,86,87,88,90,94,98,107,123,136,147,153,182,173,156,142,123,100,99,106,110,112,97,165,191,190,190,189,189,87,87,88,91,95,99,107,124,137,147,154,182,170,146,152,146,123,105,96,89,96,93,157,192,191,192,190,190,89,88,88,90,94,98,108,124,137,147,153,186,181,157,148,158,146,133,110,87,85,90,155,194,193,193,193,192,88,87,87,90,93,98,109,125,138,149,154,186,188,164,154,193,160,145,115,92,87,90,156,195,194,194,194,193,87,87,87,89,93,97,109,125,139,149,155,179,197,162,169,211,167,138,113,97,93,93,163,196,195,195,194,194,88,88,88,90,93,98,110,126,139,150,155,170,191,154,177,202,167,136,114,103,95,96,171,197,197,197,196,196,88,88,88,89,93,99,111,127,139,150,155,163,180,156,173,189,169,145,116,103,97,99,173,197,197,198,197,197,88,88,88,91,94,99,112,127,139,149,155,159,173,169,174,180,162,139,114,100,97,100,173,199,199,200,200,200,88,87,88,91,94,99,113,127,140,150,155,158,168,176,167,166,153,123,108,100,95,94,170,201,201,201,200,200,89,86,87,89,93,98,113,128,140,151,155,158,166,173,156,148,149,119,109,103,93,86,159,202,201,201,200,200,87,86,86,88,92,97,111,127,140,150,154,159,166,166,145,148,164,149,129,107,94,83,137,199,199,200,200,199,86,84,85,87,90,95,110,126,139,149,153,158,165,171,170,175,175,162,146,115,92,82,109,191,198,200,200,199
18,186,187,187,188,190,189,189,190,190,188,186,186,186,185,184,184,184,183,182,181,180,179,178,177,176,175,173,172,187,188,189,190,190,191,190,190,191,190,189,188,187,186,187,188,187,184,184,184,181,179,179,177,176,175,173,172,189,189,189,191,190,191,193,193,191,190,192,192,194,192,191,186,180,190,186,187,188,186,179,179,178,177,176,174,190,190,191,192,191,193,193,194,192,191,191,162,138,178,187,148,120,139,193,173,151,162,184,180,178,179,177,176,190,192,192,192,194,194,194,195,195,200,192,149,116,108,158,152,118,88,135,145,119,98,146,189,179,179,177,177,192,192,193,193,194,195,198,176,148,166,190,157,138,106,136,180,123,111,84,134,128,96,86,181,183,180,178,177,193,194,196,196,195,195,203,175,147,126,152,180,139,118,114,179,126,118,115,111,122,110,74,157,188,180,180,179,193,196,196,197,198,197,202,187,167,152,118,163,156,121,97,140,145,132,128,119,136,123,77,157,189,182,181,179,194,196,196,199,197,203,188,187,178,155,132,117,155,127,102,113,154,141,131,130,134,119,76,161,191,182,183,181,195,197,198,199,197,206,191,152,166,153,123,84,142,135,102,95,143,134,130,126,123,117,74,147,194,183,182,181,196,197,198,200,197,204,180,112,139,151,95,74,119,115,85,82,123,95,116,145,142,121,81,130,197,184,183,182,197,198,199,200,199,206,179,142,135,145,90,77,102,94,77,72,99,77,99,179,155,128,90,112,199,185,185,184,198,199,199,200,200,207,190,171,131,138,110,83,98,103,78,71,96,76,73,158,160,135,102,92,192,188,187,185,199,200,200,200,202,207,193,162,133,115,102,75,102,113,76,69,85,120,154,160,178,149,113,77,174,193,187,186,199,200,200,201,203,206,173,142,123,104,86,74,84,82,73,82,117,173,180,165,168,153,115,73,159,199,187,187,199,200,202,203,204,205,186,163,141,121,101,99,91,95,116,142,174,185,179,174,147,137,106,70,164,197,188,187,201,202,204,204,203,207,197,172,147,119,100,99,109,125,148,171,191,188,171,161,140,113,92,79,187,193,190,190,202,203,204,205,204,205,198,178,152,126,110,108,112,127,168,187,197,186,163,148,130,106,72,111,202,190,191,190,202,203,204,204,205,204,199,185,160,139,121,118,110,140,184,195,192,177,157,140,125,99,63,159,201,190,191,189,203,204,204,206,206,202,196,183,162,144,128,125,116,151,192,187,182,170,151,132,118,88,79,193,195,192,191,191,204,206,207,208,207,201,187,174,160,146,134,133,121,154,189,180,173,160,145,125,110,72,116,206,192,194,192,191,204,206,207,207,208,205,185,177,166,150,140,143,126,157,180,177,165,145,134,117,100,63,162,204,193,194,193,191,205,206,207,207,209,209,191,175,167,156,148,146,128,158,174,170,160,139,122,107,81,84,200,196,196,194,194,192,205,208,208,207,208,212,200,175,171,164,152,141,125,145,169,161,149,130,110,98,60,141,209,196,196,195,194,192,206,208,208,208,207,210,207,189,176,164,153,143,130,133,156,152,137,118,102,78,79,199,199,198,197,197,195,193,206,206,207,209,210,211,210,198,182,170,157,148,137,131,146,144,126,109,96,56,143,210,197,198,198,197,195,193,206,207,207,207,210,211,210,205,190,168,152,144,140,137,140,138,122,107,78,84,202,201,201,199,198,197,196,193,207,208,208,208,210,211,209,204,190,169,163,161,156,149,135,133,117,100,64,142,213,199,200,199,199,197,196,193
6,165,167,169,171,172,174,175,175,175,174,174,174,173,172,171,170,170,169,168,166,165,164,163,161,162,161,159,158,167,170,172,172,173,175,175,176,176,175,175,175,175,174,173,171,171,170,170,168,166,165,165,165,165,163,160,159,169,171,173,174,175,176,176,177,177,176,176,177,177,175,174,173,174,172,171,170,170,168,166,166,165,164,162,161,171,173,174,175,177,177,177,178,178,178,178,177,177,176,176,175,174,174,173,172,172,170,167,167,165,164,163,161,171,174,177,176,178,179,179,179,179,179,179,179,178,177,175,176,175,173,173,173,172,171,169,168,166,166,165,163,172,175,178,178,179,179,180,180,180,180,179,179,178,177,177,178,178,176,177,177,176,176,174,171,168,167,165,164,175,175,179,179,181,183,182,181,181,181,181,183,182,180,178,178,174,170,162,157,158,151,144,141,139,120,145,160,177,178,179,180,181,183,183,183,183,182,179,168,161,163,161,149,134,121,104,118,132,139,125,123,123,100,147,161,177,179,181,182,182,183,184,185,185,172,159,131,123,126,130,139,128,116,108,111,124,133,117,112,104,87,103,118,178,179,183,184,184,185,186,183,179,170,157,141,127,113,81,102,109,105,86,71,78,71,71,73,82,89,107,137,179,181,183,184,185,187,182,180,170,156,151,140,137,136,80,46,46,42,47,82,110,131,143,159,171,172,175,174,180,182,184,187,187,182,171,174,153,140,146,146,150,116,66,49,33,101,151,177,187,186,184,181,178,176,174,171,181,184,187,184,178,169,166,156,146,143,140,148,148,101,53,50,45,92,194,183,180,178,178,178,178,176,175,173,182,185,183,177,170,168,161,153,151,142,138,147,138,126,91,52,50,32,111,195,180,181,180,180,179,177,175,174,185,179,175,175,170,164,154,150,147,140,137,138,139,140,111,64,45,51,43,164,188,181,180,180,179,178,176,175,157,184,177,170,162,159,150,144,139,134,134,135,141,139,100,62,49,52,30,129,197,181,182,181,180,179,179,178,55,118,185,177,160,150,143,136,133,132,130,133,138,139,113,71,44,47,49,172,189,184,183,183,182,180,179,177,54,40,83,157,160,145,144,140,136,135,136,134,140,139,130,89,47,42,48,177,189,186,184,184,183,181,180,179,49,51,25,42,123,157,141,135,134,133,138,139,138,139,124,81,51,52,34,156,197,185,185,184,183,183,181,180,47,31,28,18,30,107,134,134,137,136,130,122,119,114,93,73,58,56,48,176,195,187,187,185,184,183,181,180,30,24,22,27,22,19,82,129,133,128,119,107,99,89,75,67,65,64,35,120,204,187,188,186,185,184,182,180,23,28,27,24,20,19,15,67,128,129,115,101,90,101,92,63,65,65,30,120,203,187,189,188,186,185,183,181,24,29,30,23,15,21,17,7,63,110,97,84,65,83,61,47,60,62,110,191,192,191,191,188,186,186,185,183,26,29,24,19,14,16,10,12,7,58,62,59,106,174,154,133,156,176,198,195,193,192,191,190,189,187,185,184,25,24,14,13,12,10,8,6,8,0,67,177,202,206,207,206,203,200,193,194,194,192,191,190,189,187,185,184,26,14,10,8,11,7,4,4,0,34,193,206,196,197,197,195,195,194,194,193,192,192,191,189,188,186,185,183,20,6,8,9,5,1,2,4,0,89,218,193,199,198,198,197,196,195,193,192,192,191,191,190,188,186,185,181,14,10,9,0,7,7,0,5,0,123,214,198,200,198,198,197,197,196,195,194,192,191,190,190,190,188,183,180
23,126,127,127,128,130,130,130,130,130,130,131,132,131,131,131,131,131,130,130,131,130,128,128,127,127,126,123,121,130,131,131,133,133,134,135,136,135,136,136,135,135,135,134,134,135,136,134,134,133,131,131,130,129,129,127,124,135,136,137,138,138,139,140,140,141,141,139,138,139,138,136,142,142,139,138,137,137,136,134,134,133,131,131,129,140,139,140,143,142,142,144,145,145,143,152,141,144,148,143,109,133,151,141,141,142,140,137,138,137,135,135,133,144,145,145,147,146,146,148,150,146,152,189,158,146,166,150,111,72,129,154,146,145,144,143,141,140,139,138,137,148,148,149,150,151,150,152,154,148,176,176,139,67,88,77,107,108,86,114,153,148,147,147,145,145,144,142,140,152,152,153,154,153,155,156,156,158,186,164,123,49,126,136,117,85,62,75,158,151,151,152,150,149,147,146,144,154,155,156,156,157,158,158,156,171,170,169,99,114,170,119,154,148,133,152,161,155,155,154,154,152,152,150,149,157,159,159,160,162,162,164,162,173,165,170,176,183,156,65,113,183,164,163,162,161,160,156,156,156,155,154,152,160,163,163,163,165,157,143,149,154,165,168,165,158,147,66,49,144,168,163,164,163,162,161,160,157,156,155,155,164,166,165,167,163,138,108,119,131,134,130,129,122,107,65,0,14,138,175,165,166,164,163,164,163,161,159,157,165,167,167,166,170,160,156,143,149,140,125,118,96,35,26,0,0,111,184,167,170,168,166,166,166,165,163,162,168,169,171,166,165,172,170,158,133,79,75,82,78,20,22,0,7,157,177,171,172,172,170,170,168,166,165,164,171,172,174,170,153,155,177,157,78,45,0,52,94,21,24,0,52,188,174,176,175,174,173,172,171,170,167,165,173,173,177,175,152,147,183,153,60,3,0,84,100,28,19,0,74,194,175,178,177,175,175,175,173,173,170,167,174,176,178,178,153,145,186,160,89,11,11,70,37,17,2,0,53,191,178,180,179,179,178,177,176,174,173,173,178,179,181,180,150,147,196,165,90,37,0,0,0,0,0,3,45,188,181,180,180,180,179,179,178,177,175,174,180,179,182,178,142,164,201,164,94,55,0,0,0,0,9,10,69,196,182,182,183,182,181,179,179,179,179,177,180,183,184,178,144,167,189,166,104,60,33,9,27,26,27,14,85,201,183,185,183,183,182,181,181,181,180,179,183,187,187,186,149,155,170,147,92,62,49,19,34,34,33,15,113,202,184,188,187,185,185,183,182,181,180,180,186,187,189,190,154,146,151,129,99,92,57,24,34,34,33,23,162,200,188,188,189,189,188,187,185,183,182,180,187,188,190,193,161,150,149,128,106,93,52,30,35,43,22,67,202,192,192,190,191,191,190,188,187,186,184,181,188,189,190,193,168,166,148,126,95,69,44,34,38,39,31,166,203,193,194,192,192,191,190,188,189,187,186,184,189,190,192,190,173,182,155,132,109,71,39,31,32,33,153,208,196,195,195,196,195,193,191,190,189,188,187,186,190,190,195,188,175,181,153,137,116,62,29,30,16,122,216,196,199,197,197,197,196,196,194,192,191,190,189,187,190,193,198,190,173,157,138,122,93,36,21,23,35,191,201,200,200,198,198,198,197,196,196,194,194,191,189,188,193,194,197,185,174,141,124,119,107,32,27,20,75,209,199,203,200,198,200,200,199,198,197,196,195,194,191,190,192,194,195,182,186,145,120,137,139,41,32,20,95,218,200,203,202,201,201,200,199,199,198,197,196,197,192,182
4,158,161,165,169,172,175,177,179,181,184,186,187,187,189,190,190,191,190,190,190,189,188,188,187,187,187,186,185,159,163,166,170,173,175,178,180,182,185,187,188,188,191,192,192,192,192,192,191,191,191,190,189,188,188,187,187,160,165,168,172,175,178,180,182,185,187,188,189,189,190,193,200,176,158,181,194,194,193,191,191,190,190,189,188,161,165,169,173,175,178,180,184,187,190,189,199,181,156,183,218,181,139,128,196,194,194,194,193,192,192,191,189,162,166,171,174,178,180,182,185,187,188,198,227,195,159,141,218,184,142,109,176,180,191,195,194,193,193,192,191,164,167,172,176,179,181,182,186,197,195,186,215,206,166,124,209,186,135,80,121,145,137,190,196,195,194,194,193,165,169,173,177,181,183,185,193,223,217,174,156,214,176,124,194,183,129,73,120,145,113,136,197,196,196,194,194,164,170,173,177,181,185,186,203,219,211,159,131,205,161,113,162,161,114,71,129,149,115,95,197,198,197,195,195,166,170,174,179,181,184,188,201,203,203,155,121,184,148,106,122,138,107,83,156,157,112,90,197,199,196,195,196,167,171,175,180,182,186,188,201,202,185,155,131,169,143,106,89,120,93,111,179,150,97,94,200,200,197,196,197,168,172,177,181,184,188,189,205,216,189,162,146,147,170,132,111,121,99,117,152,125,80,97,202,202,201,199,198,168,174,178,182,184,187,190,210,224,198,158,110,112,172,146,166,148,150,158,174,154,106,106,204,202,202,200,199,170,174,178,182,184,188,190,218,221,184,147,112,91,99,109,166,153,174,188,196,175,120,114,204,203,203,201,200,170,174,179,183,186,188,190,224,207,163,131,106,89,85,88,125,149,164,175,178,158,120,100,199,204,204,201,201,170,175,179,183,187,190,193,229,213,174,141,109,94,94,106,115,124,139,145,150,151,128,92,176,204,204,202,201,171,176,180,185,186,191,196,230,209,171,132,109,99,96,108,131,127,156,168,169,165,140,101,133,206,204,204,202,172,177,181,186,188,192,200,228,207,166,130,109,104,99,114,140,153,195,199,205,192,154,111,90,198,206,206,204,173,178,182,186,190,192,202,225,204,167,137,120,110,108,119,139,187,212,219,210,204,165,116,80,173,207,207,206,173,179,182,185,189,192,202,220,200,170,143,128,118,113,119,172,214,219,217,192,187,150,111,83,178,208,206,206,171,177,181,183,188,192,199,216,198,173,146,125,113,122,141,211,225,221,202,181,156,126,95,107,201,206,206,206,171,176,181,183,188,192,197,219,206,170,135,125,119,140,172,223,225,209,182,158,130,102,81,167,206,206,205,205,172,177,181,185,189,193,195,217,207,179,161,155,126,146,194,222,214,193,166,139,111,85,115,205,208,208,206,206,173,177,182,186,189,193,195,214,210,187,163,162,134,133,206,212,197,171,147,120,94,78,179,208,209,208,206,206,173,178,182,185,189,193,192,215,215,192,170,160,134,138,200,197,174,149,122,98,77,121,207,210,209,209,207,207,173,179,183,186,190,193,191,228,221,196,169,148,121,139,182,176,148,123,99,83,78,186,209,209,208,209,207,206,173,178,182,185,190,189,209,230,215,184,160,127,112,143,160,138,107,94,80,72,149,207,210,209,208,208,207,207,167,173,177,181,184,187,227,226,213,191,161,132,127,144,137,104,89,86,74,126,198,205,205,205,204,205,204,205,132,135,135,134,133,177,227,220,211,190,156,140,136,135,120,94,91,90,77,120,138,138,138,137,138,139,140,142
17,175,178,180,182,184,184,186,187,188,188,189,190,191,193,194,195,195,197,197,196,197,199,198,198,199,200,199,200,177,178,181,183,184,184,186,188,189,189,191,192,193,194,196,196,198,199,198,198,199,199,199,199,201,200,201,200,177,178,181,183,185,185,186,188,191,191,193,193,194,195,197,198,199,200,202,202,200,204,200,201,201,201,202,202,176,179,181,185,187,187,188,189,191,192,193,196,197,197,198,200,201,193,170,187,160,178,207,202,203,203,202,202,178,180,182,185,187,188,190,191,193,194,195,196,197,199,200,201,203,205,165,131,127,149,211,202,204,203,203,203,179,181,184,186,187,190,191,192,194,196,197,198,198,199,201,201,201,221,185,131,103,161,212,203,205,205,204,203,180,182,185,187,188,190,192,192,194,196,196,198,199,199,201,203,200,221,195,150,97,171,213,204,206,206,204,204,180,183,184,187,189,192,193,194,194,196,198,199,202,204,201,204,201,221,208,165,113,192,210,206,206,206,205,204,181,185,186,188,189,192,193,195,196,196,197,202,189,181,208,205,201,225,207,167,132,205,208,207,206,207,207,205,183,185,186,189,191,193,194,196,198,199,199,203,194,151,166,209,209,228,201,165,135,206,209,208,208,208,208,207,183,186,188,189,191,192,195,196,195,195,196,212,198,177,152,172,194,221,203,165,133,205,210,209,209,209,209,208,184,187,187,189,192,194,193,201,209,181,151,188,213,208,209,171,125,167,193,168,135,203,211,210,210,210,208,208,184,186,188,192,193,195,192,211,218,181,143,185,193,216,219,197,143,121,166,158,131,198,213,210,211,210,208,210,184,187,190,193,194,194,197,210,185,202,173,171,155,157,225,213,173,119,133,143,123,196,215,211,211,209,209,210,185,187,190,192,194,195,198,219,172,160,158,120,113,101,218,227,194,134,116,126,116,193,216,211,212,211,211,211,186,188,191,192,196,195,206,206,166,147,156,130,126,123,197,242,205,156,115,125,113,185,218,210,212,212,212,211,186,188,191,194,197,193,211,213,192,176,167,144,155,157,178,249,206,170,124,121,116,178,219,211,212,213,213,212,185,188,191,194,197,194,220,205,175,168,162,153,173,179,210,227,206,180,133,115,110,179,221,212,214,213,213,212,186,188,191,194,197,200,221,189,169,162,159,169,171,218,245,208,192,178,132,110,101,178,221,212,215,214,213,213,187,189,192,196,196,204,227,194,178,164,163,171,192,245,234,211,184,167,130,107,102,186,219,212,214,214,213,213,186,190,194,197,195,209,230,198,184,165,165,174,222,241,222,207,177,161,126,109,107,205,215,212,214,214,214,213,187,192,194,197,193,215,232,202,192,173,164,193,240,235,219,199,166,156,124,103,131,220,213,214,215,215,215,213,188,191,196,198,192,221,233,204,198,190,167,203,242,224,215,201,162,144,123,98,170,223,213,215,214,213,214,212,189,193,196,199,193,222,239,208,206,202,179,202,235,215,208,197,165,134,117,111,207,217,215,216,214,214,214,214,190,194,195,198,194,215,241,215,211,204,192,192,226,210,208,189,161,132,106,146,225,212,215,214,214,215,215,214,189,193,195,199,196,207,239,222,208,198,197,192,213,205,208,196,156,130,102,165,226,212,215,215,215,215,215,214,190,193,195,197,200,202,235,218,206,194,192,197,206,196,209,200,156,128,105,186,224,214,215,216,216,216,216,215,190,193,196,198,199,204,233,212,205,193,189,194,204,193,207,191,151,125,121,212,218,216,216,216,216,216,216,215
2,155,154,155,155,155,156,156,155,154,153,153,154,154,153,150,151,150,148,146,147,147,146,150,63,9,15,10,14,158,156,158,157,158,159,159,158,156,157,157,159,154,155,156,150,156,155,155,151,152,148,156,100,12,20,4,17,161,161,162,161,162,162,161,162,162,163,162,160,160,166,152,80,87,138,123,158,156,152,158,124,18,1,0,14,164,165,166,167,166,167,167,166,166,161,166,168,168,131,76,43,18,62,38,119,159,155,156,143,37,0,0,25,169,169,170,171,170,170,171,171,167,176,186,174,83,38,23,18,15,29,21,16,125,166,155,166,68,0,0,11,172,172,173,173,173,172,171,171,173,189,175,104,26,13,10,4,0,8,21,7,118,171,158,168,101,72,36,0,175,175,176,178,177,177,176,169,183,199,99,28,6,0,9,3,0,1,1,33,153,169,163,167,138,83,149,126,179,178,178,178,179,179,178,168,200,176,63,17,5,0,0,7,16,52,101,152,172,169,167,178,109,84,191,156,181,182,181,179,180,181,178,181,205,133,50,14,24,11,12,20,117,181,181,177,171,172,169,181,120,123,181,88,183,183,183,184,183,184,180,200,184,106,33,8,20,10,43,144,185,177,176,177,176,175,173,174,161,140,87,84,185,185,185,186,188,183,186,212,171,100,48,25,11,11,118,201,178,181,179,180,180,177,176,174,176,163,94,165,189,187,187,187,189,184,204,218,154,87,47,40,19,13,148,192,183,182,183,182,180,178,178,179,176,169,161,144,190,189,188,190,190,184,221,204,138,69,39,36,26,44,187,188,187,185,184,183,182,180,181,180,181,172,171,178,190,190,190,192,185,190,228,185,129,69,34,27,22,81,201,188,189,188,186,185,185,184,184,183,181,179,169,145,193,192,193,193,178,212,219,169,114,61,35,29,21,89,204,187,190,188,189,188,188,184,184,184,183,181,187,134,196,196,197,189,190,227,201,153,100,52,34,34,13,124,208,187,190,190,189,189,190,189,189,188,190,188,183,182,196,194,198,180,205,229,189,140,86,49,28,20,10,87,206,193,193,191,194,197,190,170,155,143,137,166,189,182,196,197,199,180,224,218,178,127,77,48,18,14,30,22,97,211,204,199,182,155,133,138,133,120,95,55,163,190,197,201,185,200,229,209,165,112,69,45,5,16,34,41,30,118,161,135,122,136,139,134,108,84,97,97,167,191,200,197,182,226,223,199,146,100,61,35,1,37,47,59,65,55,68,103,138,143,116,68,68,144,191,198,193,189,205,189,210,231,216,185,136,94,57,32,13,54,66,75,74,75,85,109,108,81,65,79,175,205,193,191,191,191,189,203,227,216,205,175,125,77,49,34,30,62,78,80,78,68,69,63,66,119,174,199,200,195,196,195,194,191,187,213,219,209,198,159,106,63,48,33,50,75,83,78,65,49,37,96,185,209,204,198,197,198,196,196,196,195,203,210,209,190,163,121,79,54,46,37,59,73,77,60,42,73,145,208,211,203,201,201,201,200,197,196,195,195,201,201,186,158,131,100,67,52,43,47,57,68,63,32,104,205,213,205,205,205,202,202,203,200,199,198,197,195,199,187,157,127,115,81,58,50,51,53,50,43,48,126,213,210,207,207,207,207,206,205,203,202,202,201,199,198,190,175,134,91,78,51,48,55,53,46,44,101,182,219,207,208,209,208,208,208,207,207,206,206,205,202,202,192,182,159,112,68,43,41,50,54,41,95,168,218,218,208,211,211,209,210,209,208,208,208,207,207,206,204,204,164
17,143,144,145,148,151,153,154,156,157,157,159,160,161,162,164,165,165,166,166,166,167,167,167,167,167,167,168,167,144,145,147,150,152,153,154,157,158,158,160,161,162,164,164,166,166,166,167,167,168,168,169,169,169,170,170,169,145,146,149,152,154,155,156,158,159,160,162,162,163,165,166,166,167,168,168,168,170,169,170,170,170,171,172,171,146,148,151,153,155,156,158,159,160,161,163,163,165,166,167,167,169,170,170,171,172,171,171,172,171,172,172,172,146,148,151,153,155,157,158,159,161,162,164,165,166,167,168,170,170,170,167,170,168,168,173,173,172,173,173,173,147,149,151,153,156,158,159,161,162,163,165,166,167,167,170,170,170,172,155,134,132,131,173,174,174,174,174,174,148,150,152,154,156,159,160,162,163,165,166,167,167,169,171,171,171,178,170,119,92,110,172,174,175,175,175,175,149,151,153,156,157,159,161,163,165,167,168,169,170,171,171,172,173,179,180,133,86,115,177,176,176,175,175,175,150,151,153,157,158,160,162,164,166,167,168,170,170,168,171,174,174,178,187,149,97,133,179,177,176,176,176,177,150,152,155,158,159,161,164,164,165,167,168,169,171,156,143,171,175,180,187,150,110,157,179,179,178,177,176,177,150,153,156,158,160,162,164,165,166,167,168,169,176,163,130,136,171,185,184,146,113,166,180,180,179,178,178,177,151,153,156,158,161,163,165,165,167,171,160,145,171,178,165,148,133,153,172,146,113,166,181,180,179,179,178,178,151,154,157,159,161,164,166,166,172,186,159,123,152,174,187,176,136,102,139,137,113,165,182,181,179,179,179,179,152,155,158,160,162,165,167,166,178,167,164,142,139,131,164,190,159,106,108,120,107,163,182,181,180,180,181,180,153,156,159,161,163,164,167,167,183,157,133,130,104,83,118,199,178,124,93,101,98,162,183,182,181,181,181,180,154,156,158,161,163,165,168,170,182,148,122,129,109,100,116,199,190,144,94,92,93,159,183,182,182,182,181,181,154,156,159,162,164,166,168,175,185,163,145,136,121,133,133,192,192,154,105,90,92,154,184,183,183,183,182,182,154,157,160,163,164,166,167,183,178,150,140,134,131,149,172,193,179,158,113,86,89,155,185,183,184,184,183,183,155,157,160,162,166,168,169,189,170,146,135,135,143,165,207,193,164,148,111,82,84,157,186,185,184,184,184,184,156,158,159,163,166,168,169,194,172,151,137,137,149,195,206,189,159,139,106,81,85,166,186,186,184,184,184,184,156,158,160,163,165,167,173,198,176,159,140,140,169,209,197,182,151,131,100,80,100,181,185,185,184,184,184,184,155,158,161,165,166,167,178,200,178,166,152,144,185,207,191,179,145,121,96,80,132,187,185,185,185,184,183,183,156,158,162,165,168,169,182,205,182,175,165,152,188,198,185,174,145,112,91,89,166,186,185,186,186,186,185,185,156,159,163,166,168,168,180,208,188,180,172,160,178,191,181,169,140,107,85,118,186,186,185,186,187,187,185,185,157,159,163,167,169,170,176,206,193,177,167,165,169,182,176,173,137,102,84,145,188,185,185,186,186,186,185,186,157,160,163,167,169,171,174,202,189,176,163,164,170,174,174,174,137,101,88,162,189,187,187,187,187,186,187,187,157,160,163,165,168,170,176,201,188,176,164,164,171,171,173,166,129,100,106,181,188,188,188,188,188,187,187,187,157,158,161,165,168,170,178,203,195,179,168,170,175,166,169,155,119,95,138,189,188,188,187,187,188,188,188,187
10,50,52,53,57,61,65,70,81,90,96,101,105,107,111,114,117,120,123,123,125,128,128,129,130,131,130,131,133,51,53,55,57,61,65,71,83,91,98,104,106,108,112,115,117,121,122,123,128,128,129,129,131,132,131,132,132,50,53,55,59,63,66,73,85,93,100,105,107,109,114,116,120,120,129,129,109,130,130,131,133,133,133,133,133,50,54,56,60,64,67,75,87,95,102,107,108,112,115,118,123,117,152,141,69,121,135,133,134,135,135,134,134,51,54,57,60,64,67,77,89,97,104,108,110,114,117,120,123,121,142,149,84,92,142,134,137,137,137,137,137,52,56,58,60,65,69,78,90,98,106,110,112,116,119,123,127,126,136,156,98,69,134,140,140,140,140,140,140,53,57,59,62,65,69,80,91,100,107,112,113,117,122,125,128,132,131,155,121,74,116,146,140,142,142,142,142,53,57,60,63,66,69,81,93,101,108,113,114,118,124,127,130,133,133,153,139,84,94,151,143,144,145,145,144,54,58,60,64,67,70,83,95,103,110,115,115,120,124,129,129,148,138,86,120,98,75,146,148,148,147,147,148,55,58,61,64,67,72,85,97,105,112,115,117,123,127,131,131,161,112,61,92,145,75,133,154,150,150,150,150,56,58,61,65,68,73,86,98,106,114,116,119,124,128,134,134,156,104,74,65,161,84,115,158,152,154,153,152,56,59,61,66,68,75,88,99,107,115,117,122,125,135,127,144,175,124,114,71,110,99,94,161,154,156,155,155,57,59,62,66,69,76,90,100,110,117,119,117,139,179,141,161,147,142,136,89,64,96,80,157,156,157,157,157,58,59,63,66,69,76,90,101,111,117,123,130,142,202,169,170,114,104,140,110,65,70,67,142,161,157,158,158,59,60,64,66,69,77,91,102,114,110,168,189,129,138,175,178,132,61,124,138,92,61,50,123,166,158,159,159,59,60,63,67,70,78,93,105,115,113,176,204,148,73,124,182,125,64,74,140,112,76,45,106,168,160,162,162,59,61,64,67,71,80,94,105,116,122,147,125,157,138,86,122,80,43,45,115,121,92,56,93,169,161,162,163,59,61,64,67,71,81,95,106,117,122,157,110,130,154,71,87,99,35,80,123,121,109,72,80,167,163,163,164,60,62,64,68,71,82,96,108,119,119,168,154,103,86,73,104,107,99,159,147,124,117,84,75,161,166,165,165,60,63,65,68,72,83,98,110,120,121,169,150,125,108,97,106,115,177,177,139,128,111,85,81,160,167,165,165,60,63,66,68,72,85,98,111,122,120,188,181,151,117,114,125,198,203,159,124,111,101,86,89,165,167,167,167,60,62,66,68,72,85,98,110,123,120,189,194,155,127,138,157,219,185,151,126,99,90,82,103,172,167,169,169,61,62,66,69,72,85,100,112,124,119,195,200,153,153,147,167,213,175,142,121,99,84,77,123,175,167,169,170,61,63,65,68,72,86,101,113,125,121,187,190,161,168,152,191,196,160,129,109,94,86,77,135,176,168,170,170,61,63,66,68,73,87,101,114,126,121,171,188,182,175,171,199,177,140,117,98,88,85,81,155,174,170,171,171,61,63,67,68,74,88,101,114,126,122,152,201,195,174,158,171,158,126,104,92,88,77,97,173,171,172,172,173,61,64,67,68,74,89,103,115,125,128,134,190,183,163,144,146,143,129,110,98,89,69,120,178,172,173,173,176,61,63,67,69,75,91,104,117,125,130,128,164,163,149,141,144,140,143,122,96,85,64,136,179,172,174,175,176
12,151,154,158,161,164,165,168,171,174,176,177,177,179,180,180,182,182,182,183,182,183,185,184,183,184,186,186,185,153,155,159,163,165,169,171,174,176,178,180,181,182,182,184,184,184,185,186,184,185,187,185,184,186,188,188,188,156,159,163,165,169,172,173,176,179,181,181,183,185,184,184,185,187,187,188,186,187,189,186,187,190,190,189,190,157,162,164,167,171,173,177,179,182,183,184,183,191,193,192,188,191,191,195,197,189,190,191,191,193,193,191,191,159,163,166,170,172,174,178,181,184,186,185,187,182,162,172,194,193,176,146,164,197,190,194,194,193,193,194,194,162,165,169,172,174,176,181,184,185,187,186,206,192,154,112,172,215,184,140,75,188,199,193,204,196,195,195,195,164,166,171,174,177,180,183,186,187,189,187,234,223,189,136,104,219,185,151,96,116,137,130,143,203,197,198,198,165,169,172,175,179,183,185,188,189,190,195,233,237,201,153,96,214,199,154,121,38,114,128,69,145,211,198,201,168,171,173,178,181,183,186,190,193,192,204,220,240,224,175,114,199,214,152,101,39,146,141,65,72,214,199,203,171,173,176,180,182,184,188,191,193,190,205,159,133,210,185,107,169,198,131,78,43,156,143,63,59,207,204,204,173,175,179,181,183,188,190,193,190,217,211,131,73,127,166,86,149,168,123,88,41,141,139,74,56,207,207,207,174,177,180,183,186,190,194,192,216,223,201,140,105,75,142,78,130,167,115,78,44,147,132,78,62,210,206,208,175,178,182,184,188,191,193,203,216,185,207,164,122,58,92,80,108,162,122,68,58,170,154,83,70,220,209,209,176,180,183,186,189,192,191,212,193,142,194,161,114,61,54,114,102,184,157,81,94,233,191,88,115,226,208,210,177,181,183,188,192,194,197,216,202,150,154,158,118,59,34,119,86,154,147,70,64,189,141,44,98,226,210,211,179,181,184,189,192,193,202,210,185,136,133,171,102,65,1,39,16,28,134,83,110,149,86,75,49,149,225,208,180,182,186,190,195,195,205,221,188,146,122,162,87,65,12,0,1,106,196,194,184,169,133,99,61,89,226,210,180,184,188,191,195,196,211,220,186,145,98,140,88,76,11,18,87,195,200,191,170,152,118,85,54,115,228,211,181,184,188,191,195,193,211,218,189,161,115,98,104,94,24,60,179,210,214,197,159,139,109,77,48,159,230,214,182,186,189,192,197,195,212,218,195,174,155,113,89,78,87,141,222,214,226,189,145,128,100,71,53,192,226,217,184,187,190,194,198,199,213,220,206,180,166,158,125,109,141,159,222,223,224,176,132,116,88,58,91,220,219,219,185,187,190,194,198,199,209,219,208,188,174,169,158,125,131,148,226,225,199,164,125,102,82,48,151,232,218,219,185,189,193,196,198,200,204,209,203,195,180,169,157,133,118,157,227,217,177,149,117,90,72,54,198,225,219,221,185,190,195,199,199,202,204,202,200,197,179,171,156,135,112,159,205,199,154,129,104,80,57,84,228,218,220,222,185,189,194,197,200,202,207,205,204,204,181,171,158,137,108,155,186,168,135,112,91,76,46,149,236,219,223,224,187,190,193,196,198,200,203,205,210,198,176,163,150,125,101,152,164,132,116,92,79,62,75,216,223,223,224,223,187,190,192,196,199,201,202,202,212,187,158,148,125,101,107,144,147,116,106,82,74,54,157,228,218,220,223,223,187,190,191,196,200,202,200,200,217,183,162,147,111,105,115,143,139,113,97,79,60,102,225,217,219,221,224,223
20,141,144,148,151,153,155,159,160,162,163,164,164,164,164,164,164,164,163,163,162,161,159,158,158,156,154,153,152,143,146,150,153,155,158,161,162,164,165,166,166,169,154,156,167,166,165,165,164,163,162,160,159,158,158,157,155,145,149,152,155,159,162,164,165,166,169,169,168,185,139,124,163,167,167,168,167,166,164,163,162,161,161,159,158,147,151,155,158,161,165,166,168,169,171,171,171,193,144,123,137,148,171,169,169,168,166,165,164,164,163,162,161,149,153,158,161,164,167,169,171,173,173,174,174,193,144,144,147,123,173,171,172,171,170,168,167,166,166,165,163,152,156,161,164,165,168,172,174,175,176,176,177,199,157,151,161,113,169,174,174,173,172,171,170,170,169,168,166,156,159,163,166,168,170,174,177,178,178,179,180,205,165,149,176,115,163,178,176,175,174,173,172,172,171,170,168,158,162,165,168,170,173,176,178,179,180,181,184,204,160,147,182,121,155,182,179,178,176,175,174,173,173,172,171,160,164,166,170,173,176,178,180,185,188,172,183,211,164,151,186,128,147,183,181,180,179,177,177,176,175,174,172,162,165,169,172,175,178,180,183,192,205,175,162,175,153,143,196,140,142,184,182,181,181,180,180,178,177,175,174,163,167,171,174,177,178,188,207,174,165,189,158,127,117,118,179,141,137,185,184,184,183,182,181,181,179,178,177,165,169,172,176,179,181,197,194,181,153,186,185,178,155,117,137,131,130,187,187,186,185,183,182,181,180,180,179,167,171,174,178,181,183,195,186,161,145,155,175,190,187,132,95,105,121,188,188,187,186,185,183,182,181,181,180,168,173,176,179,183,186,193,203,173,130,99,100,127,184,157,99,78,112,188,189,189,188,187,185,184,184,182,182,170,173,179,182,185,188,193,215,182,134,101,91,95,175,186,129,78,101,187,192,191,189,189,188,187,185,183,182,171,176,180,183,187,189,194,212,182,141,111,115,133,188,208,160,102,92,184,195,193,191,190,189,188,187,185,183,174,178,182,185,188,192,196,219,190,145,126,124,163,214,207,165,122,92,181,196,194,192,192,190,189,188,186,185,174,179,183,187,191,194,199,223,196,154,136,140,189,220,191,146,111,92,184,197,195,194,193,192,191,189,189,187,176,181,184,188,192,195,199,223,203,168,151,150,205,214,173,127,93,104,193,197,197,195,195,195,193,191,190,187,178,183,187,190,193,195,199,218,204,171,161,156,210,205,161,117,86,112,199,199,199,197,196,196,195,194,190,188,179,184,188,192,194,197,200,212,204,175,171,160,204,192,147,108,80,118,201,201,201,200,198,196,195,194,192,190,180,185,190,193,196,198,200,207,208,187,181,160,197,176,132,98,75,133,204,202,201,201,200,197,196,196,194,192,180,186,190,194,197,199,202,206,210,191,181,153,182,157,118,93,76,156,206,204,202,201,200,199,198,197,195,193,181,186,191,194,198,200,204,207,215,188,162,139,167,140,119,95,89,185,207,206,204,202,201,201,200,198,196,194,182,187,192,195,199,202,204,208,220,195,162,152,164,131,126,89,130,206,208,207,207,204,203,202,201,200,197,195,183,187,192,196,200,202,203,212,224,207,182,171,154,125,116,84,173,210,207,208,207,205,204,203,202,201,199,196,182,186,190,195,199,202,200,211,212,193,187,171,144,116,100,99,195,209,207,207,206,204,203,203,202,201,199,197,182,186,191,195,199,203,198,215,205,177,172,159,128,105,83,122,205,209,208,207,206,205,203,202,201,200,199,196
19,164,165,166,168,170,171,171,171,171,171,171,171,170,170,170,169,169,168,168,167,167,167,166,165,164,163,163,163,165,165,167,168,170,171,172,171,171,171,171,172,171,171,171,171,170,169,169,169,168,166,166,166,165,164,165,163,165,166,167,168,170,172,173,172,173,172,172,172,171,171,173,171,171,170,170,170,169,167,168,167,166,165,165,164,165,167,169,170,170,171,173,172,173,173,174,173,172,173,173,172,171,171,170,170,170,169,169,167,167,166,165,164,167,168,169,171,172,173,173,174,175,173,172,173,175,173,173,173,172,172,171,170,171,171,170,168,167,166,166,165,167,171,170,172,174,175,176,175,176,180,161,142,160,177,175,175,174,173,172,172,172,171,171,170,168,167,167,166,169,171,173,174,174,176,176,177,177,204,185,153,115,159,179,175,175,174,173,173,173,172,172,170,169,169,167,167,170,171,172,174,175,176,178,179,174,196,207,175,126,101,174,176,177,175,174,174,174,172,173,171,170,169,169,168,172,173,173,176,177,178,179,179,178,183,207,181,134,81,139,183,177,177,175,174,173,173,172,171,170,170,170,168,173,174,175,178,178,179,180,181,177,183,200,172,130,85,111,184,177,177,176,174,175,173,172,171,171,171,170,169,172,174,177,179,179,181,182,181,191,215,193,166,148,111,118,176,177,180,179,177,176,174,174,173,172,171,171,170,174,175,179,180,182,182,181,182,221,209,178,158,168,179,175,165,157,159,165,173,178,176,176,174,174,173,170,171,175,178,179,181,182,183,179,207,217,186,142,120,140,178,195,194,184,172,149,150,153,168,173,176,173,173,172,171,177,181,180,181,182,182,192,229,213,192,161,117,101,132,169,184,191,189,179,169,160,164,154,154,166,174,174,172,179,181,180,183,184,182,216,220,199,181,164,156,138,131,136,145,151,163,174,185,188,193,178,148,140,137,164,174,179,180,181,183,184,193,221,207,173,150,148,141,165,168,155,143,128,113,121,139,153,174,184,174,158,129,124,155,178,180,183,185,185,215,235,214,173,146,138,132,139,171,178,170,151,119,100,141,159,155,153,154,152,151,146,155,180,183,182,182,197,230,232,206,175,159,162,162,157,143,149,165,162,138,122,116,177,183,175,165,154,148,145,147,181,182,184,184,212,229,219,191,167,165,176,178,176,157,97,132,134,139,137,116,164,186,183,182,181,177,170,166,182,183,183,200,224,227,213,177,149,130,161,189,188,187,116,131,112,110,114,130,181,185,184,183,182,182,180,179,182,182,188,220,223,234,213,174,146,131,120,153,164,178,169,148,123,118,113,175,186,184,184,183,182,181,180,179,182,181,201,224,230,235,204,168,155,153,152,143,122,144,182,161,137,118,163,190,185,184,185,184,181,179,178,177,184,185,218,225,232,220,201,174,165,161,159,148,137,133,134,132,127,149,188,187,186,186,184,182,182,182,180,179,181,198,225,226,224,214,198,181,168,168,165,150,133,125,127,107,159,189,188,186,187,186,186,184,183,181,180,180,180,210,225,223,222,209,187,171,152,151,157,150,139,133,125,147,195,191,188,186,188,188,187,186,184,182,182,181,184,218,222,217,214,202,184,153,123,109,117,131,130,133,151,185,193,192,190,188,188,187,187,187,185,183,183,182,198,218,211,202,199,181,153,125,107,87,144,183,174,181,192,192,192,191,191,191,189,187,186,186,184,183,181,181,215,214,195,188,176,151,127,113,105,95,182,199,196,195,194,193,193,193,191,190,188,187,186,186,183,183,182,181
21,196,199,202,204,206,208,209,210,211,211,211,211,210,210,208,207,205,204,204,204,201,199,199,197,195,195,191,191,197,200,203,206,207,210,211,213,213,214,214,214,213,212,212,209,212,208,206,206,205,202,200,199,199,197,194,192,199,202,205,207,209,211,214,215,216,216,215,216,215,215,214,210,187,207,210,208,207,205,202,202,201,199,198,195,200,204,207,207,210,214,217,217,218,217,217,217,217,216,217,226,129,175,218,209,210,207,203,204,202,201,202,199,201,205,209,209,212,215,218,219,219,219,219,219,219,216,224,215,125,184,219,209,210,212,208,207,206,204,202,202,202,207,210,211,214,217,218,219,220,220,220,221,222,215,234,206,129,201,219,212,211,193,204,211,208,207,203,202,204,207,210,214,216,217,219,221,223,222,225,223,223,218,242,200,135,212,218,216,198,137,161,219,206,208,206,204,207,210,213,216,218,219,223,224,225,225,225,225,224,225,245,188,142,220,219,211,188,128,176,218,208,209,208,207,207,210,215,217,220,223,224,225,226,226,227,226,222,229,239,176,140,224,219,205,176,130,209,214,211,211,209,207,207,212,216,218,221,224,224,225,227,227,226,229,228,239,232,157,146,230,212,203,157,157,224,213,213,211,210,208,210,214,217,219,222,225,227,226,229,230,228,191,189,255,227,140,174,229,195,192,131,192,224,216,215,214,212,210,211,214,218,220,223,225,227,229,232,229,238,193,132,175,176,121,195,218,200,160,137,224,220,219,217,215,213,212,211,216,219,222,225,226,228,232,230,236,237,233,195,149,113,113,208,207,196,129,184,230,220,219,218,217,214,212,213,217,220,223,225,228,230,230,236,249,236,255,240,170,115,116,153,166,154,134,223,224,223,222,220,219,217,214,214,218,222,225,227,230,232,233,249,197,221,221,221,164,120,112,118,129,114,179,234,223,223,223,222,219,217,215,216,219,223,227,229,232,230,244,238,174,189,150,209,190,133,111,110,114,128,225,229,225,224,224,224,223,218,216,216,221,225,227,231,233,232,251,233,189,144,101,189,213,148,115,108,103,171,240,228,228,227,226,225,223,221,219,217,222,227,229,232,233,237,253,201,164,150,116,197,226,169,132,113,103,205,238,229,229,229,228,225,223,221,220,219,224,227,230,233,232,247,252,206,194,159,184,255,218,187,152,117,105,210,240,231,231,229,228,226,226,224,221,219,224,226,231,235,232,254,254,223,179,172,255,249,198,182,154,124,119,217,240,235,233,229,229,229,227,225,223,220,224,227,232,235,234,255,255,216,178,217,255,227,188,162,153,127,131,231,237,234,234,233,233,231,227,225,223,222,226,228,232,235,234,255,251,205,197,230,255,226,200,153,137,125,152,243,235,234,235,233,232,230,228,225,225,222,226,230,232,237,236,255,233,235,197,236,255,216,192,157,131,121,182,247,237,237,235,234,233,231,230,227,226,219,224,227,230,235,238,247,254,254,197,251,242,200,170,147,135,124,211,245,237,236,236,235,234,232,229,227,225,218,223,227,231,235,236,243,255,239,190,229,222,182,151,136,128,138,232,241,237,235,233,233,232,231,228,227,224,220,224,227,231,236,237,245,240,217,192,208,211,179,156,139,119,161,246,238,239,237,235,235,233,231,229,227,225,219,224,228,232,236,239,244,236,214,215,214,209,204,157,135,112,184,248,239,240,236,235,236,234,233,230,227,225,219,224,227,231,235,238,241,240,244,242,221,200,201,155,126,111,204,248,240,239,237,236,235,234,232,231,228,226
1,170,171,171,171,172,171,172,172,172,169,170,170,168,166,165,162,161,164,160,160,159,157,155,152,160,93,19,12,171,172,174,173,174,174,173,173,172,171,171,170,170,167,167,171,161,137,160,162,160,160,158,154,161,63,14,16,173,174,175,175,176,177,176,175,174,175,172,171,170,171,155,144,168,94,131,171,163,160,160,156,162,46,20,18,175,176,177,177,178,178,177,176,176,176,174,173,172,175,151,73,126,101,90,133,137,166,159,157,162,74,19,6,177,177,179,179,179,179,177,178,179,177,174,170,166,185,148,68,93,95,87,130,79,161,162,158,168,74,13,10,178,179,180,181,182,182,179,178,178,177,178,167,110,128,138,59,112,112,87,139,65,144,168,158,168,84,5,12,179,180,183,183,183,183,182,181,180,177,184,158,84,82,144,61,113,127,67,122,62,135,170,159,167,125,65,79,180,182,183,184,183,183,184,183,183,180,186,150,75,88,135,62,86,106,69,142,71,124,173,162,166,136,142,147,182,184,185,185,185,185,186,184,183,182,193,156,86,77,109,55,85,86,72,149,80,106,176,164,166,136,132,102,183,185,186,186,186,187,187,186,185,184,198,141,82,83,110,58,109,98,68,131,73,103,179,165,167,149,131,81,185,186,188,189,188,188,188,187,187,185,194,140,79,99,129,64,96,100,64,126,72,108,180,167,168,161,142,125,186,187,190,191,190,190,190,189,187,190,200,146,107,74,101,47,70,68,85,141,84,109,180,167,168,166,148,139,187,189,190,190,190,191,190,190,187,194,189,138,88,52,53,39,66,36,85,133,81,101,182,168,169,168,162,134,188,191,192,192,192,192,191,191,189,196,181,138,115,109,91,86,64,67,95,105,58,114,185,169,170,168,168,155,191,192,191,193,193,193,193,193,189,206,193,155,147,118,168,115,113,107,132,100,43,153,181,174,171,170,169,169,191,192,193,194,195,195,195,195,191,218,182,149,121,84,140,141,143,129,121,98,67,170,178,174,173,170,170,167,192,193,195,196,197,197,197,195,198,216,171,122,97,72,52,111,138,115,127,121,70,134,187,174,173,170,169,167,193,194,196,198,198,198,199,196,202,221,179,139,111,70,54,48,81,96,156,147,87,90,189,173,175,172,171,168,195,197,196,198,200,199,200,197,205,216,177,154,106,81,75,49,135,123,130,170,113,58,163,181,175,175,173,170,197,198,199,200,200,201,201,198,207,209,177,157,92,89,62,103,181,160,130,143,125,52,112,190,173,175,172,170,197,199,201,201,201,201,202,199,206,206,185,158,87,93,72,159,183,162,139,110,100,64,86,190,175,176,173,171,198,200,200,202,203,202,203,201,205,205,186,141,98,80,100,187,181,158,124,110,78,47,122,189,176,177,175,171,199,201,202,203,203,204,205,202,207,201,180,136,118,67,124,189,168,146,113,98,75,43,171,185,178,177,174,174,199,201,202,204,203,203,203,201,201,195,173,145,126,70,142,184,154,133,111,90,49,83,195,180,180,178,175,176,198,199,201,201,200,200,200,199,195,189,169,153,132,81,144,169,139,124,106,74,34,153,190,179,178,175,175,174,199,200,202,203,203,206,209,199,194,192,167,159,129,78,134,150,124,110,92,37,86,195,182,180,180,184,187,125,200,203,203,203,208,194,175,206,186,178,170,159,100,73,110,124,104,88,49,53,182,186,186,189,176,157,107,43,200,202,202,201,216,137,44,101,145,149,143,114,67,73,89,100,79,55,28,154,197,186,170,110,61,31,21,30
15,89,91,95,98,102,108,118,129,138,144,148,151,156,161,165,167,171,173,175,177,179,181,182,182,183,184,184,184,89,91,95,99,102,108,119,129,138,145,149,152,156,161,165,169,172,175,177,179,181,182,183,184,184,185,186,186,90,91,94,99,103,110,121,131,140,147,151,153,158,164,167,171,174,177,178,181,182,184,185,186,187,187,187,187,90,92,95,100,105,112,123,133,141,148,152,155,160,165,169,173,176,178,180,183,185,186,187,188,189,189,189,189,90,92,96,109,133,137,137,140,147,154,154,155,160,166,170,174,177,179,182,185,186,188,189,191,192,192,192,192,91,93,97,135,175,155,143,142,155,161,152,150,156,163,163,168,175,180,184,186,188,190,191,193,194,194,194,194,92,94,97,132,159,131,122,125,147,148,136,140,164,168,153,144,152,167,176,183,189,192,193,195,196,195,196,195,92,94,96,107,118,112,112,116,134,132,122,133,166,170,150,131,142,152,157,159,169,189,195,197,197,197,197,197,92,94,97,101,105,112,121,129,137,136,130,137,159,158,137,141,162,161,155,149,139,161,192,198,199,199,199,199,93,94,97,101,105,115,127,139,148,153,155,157,149,132,127,169,172,162,150,160,144,130,165,196,200,201,201,201,93,94,97,101,105,115,128,140,150,156,169,180,148,117,118,154,157,141,144,160,152,133,125,173,200,202,202,202,92,94,97,100,105,116,129,141,151,158,179,194,165,121,101,107,121,122,148,148,147,139,110,130,188,204,204,204,93,95,97,100,105,116,130,141,151,159,178,197,185,151,131,115,106,117,148,140,137,121,104,98,151,200,206,206,93,95,97,100,106,117,131,142,152,163,182,185,183,172,172,151,114,108,115,116,114,96,84,82,103,170,204,207,93,95,97,101,106,117,130,143,153,172,185,169,163,160,173,150,106,97,98,99,101,88,74,74,76,113,182,207,94,95,97,101,106,118,131,143,154,169,169,146,141,142,149,124,96,93,93,96,100,92,79,75,71,77,134,197,94,95,97,101,106,118,132,143,154,167,172,152,139,119,108,98,87,84,87,91,94,91,88,84,75,71,94,167,94,95,97,101,106,119,133,144,154,169,184,181,159,125,109,111,101,77,88,100,100,98,100,96,81,72,76,119,93,95,97,101,106,119,133,145,155,165,176,183,166,138,122,119,116,90,94,113,115,115,116,105,84,72,73,79,94,94,97,100,107,119,133,145,156,162,168,168,153,127,101,97,117,123,102,115,130,129,119,101,79,73,75,74,94,94,96,100,106,120,134,146,156,162,165,165,153,132,108,97,113,130,112,111,132,131,112,91,77,77,78,77,93,93,95,99,106,119,134,147,156,162,165,170,173,173,169,151,132,143,142,129,124,118,99,84,76,77,77,75,90,92,94,97,105,119,133,146,156,161,164,169,176,181,186,168,120,120,128,127,110,104,91,72,60,58,57,57,89,91,93,95,103,118,133,145,155,161,164,169,176,182,186,154,97,83,75,70,70,71,61,47,39,35,32,28,89,90,92,95,102,117,132,145,155,161,164,170,177,183,183,138,90,80,71,48,40,47,44,38,34,30,25,19,87,89,91,94,101,116,132,145,155,162,165,171,177,184,176,120,85,77,74,57,27,33,40,36,33,29,24,18,85,86,89,92,100,115,131,144,154,161,165,170,177,183,162,102,80,74,72,64,26,20,32,32,26,24,22,15,83,84,87,91,99,114,129,142,153,160,163,169,176,181,145,91,79,73,71,67,27,13,24,26,22,24,23,13
1,202,202,203,203,204,205,205,204,205,205,204,205,203,204,203,200,200,201,198,195,194,193,192,190,189,187,184,182,208,207,207,208,208,209,209,209,209,209,208,208,208,207,206,207,203,188,200,200,199,198,197,193,192,191,187,185,212,212,212,211,212,213,213,213,214,213,212,213,212,210,207,199,217,143,176,218,201,201,200,198,197,193,191,190,217,216,216,216,216,217,217,217,217,217,217,217,215,214,222,152,194,152,132,186,207,205,203,200,199,197,195,194,221,219,219,219,221,222,221,221,221,221,222,221,220,220,224,135,188,146,82,114,183,214,206,205,202,201,199,196,223,223,224,223,223,224,224,225,224,224,225,225,226,228,210,124,200,123,112,143,148,223,206,208,207,204,201,199,226,227,227,227,227,227,229,229,226,225,227,221,188,228,195,129,218,125,138,157,130,225,210,211,209,208,205,201,231,231,231,231,232,232,233,232,232,231,230,223,140,204,193,148,212,111,152,167,132,227,214,215,212,210,209,206,233,234,233,234,236,233,233,233,234,232,233,218,130,207,160,170,196,106,183,175,134,228,217,218,215,213,212,209,237,237,237,236,237,237,236,235,236,235,241,202,130,213,143,190,195,124,210,161,132,232,219,220,218,216,215,212,239,239,240,239,241,241,240,240,240,239,243,190,125,226,147,192,201,122,205,157,138,236,221,222,222,220,217,214,241,241,242,242,241,243,243,242,241,242,245,166,128,233,131,176,184,104,209,169,150,239,226,225,224,223,220,217,244,244,243,244,243,244,244,245,244,243,246,164,130,217,104,172,166,104,219,158,147,243,228,227,226,224,222,219,246,245,246,246,246,247,247,247,246,248,238,148,139,198,155,191,192,138,162,141,153,245,231,231,228,225,223,222,248,248,249,249,248,248,249,248,248,248,220,182,186,156,171,174,176,171,145,126,125,237,234,233,232,229,227,225,249,250,250,250,250,250,250,250,249,246,230,196,155,136,143,168,184,157,146,166,114,210,244,234,234,231,228,226,251,251,252,252,251,251,252,252,250,250,225,167,128,136,143,184,191,162,208,207,127,173,253,234,234,232,230,228,251,252,252,253,253,252,254,255,252,244,222,162,123,148,156,193,204,219,174,207,172,144,249,238,238,235,234,231,252,253,254,255,255,255,255,255,253,237,229,180,118,135,176,202,213,230,193,187,171,112,235,242,239,237,235,233,255,255,255,255,255,255,255,255,251,232,236,194,137,123,176,207,216,214,194,172,125,91,237,244,241,239,236,233,255,255,255,255,255,255,255,255,254,225,233,198,152,122,167,226,233,227,187,153,99,130,255,242,243,241,238,236,255,255,255,255,255,255,255,255,255,222,216,198,161,136,180,241,230,215,171,135,82,203,255,242,243,242,240,237,255,255,255,255,255,255,255,255,255,231,217,198,172,150,195,235,219,193,153,108,105,254,248,246,243,243,242,238,255,255,255,255,255,255,255,255,255,240,212,208,189,155,195,222,205,168,132,76,170,255,246,247,244,243,242,239,255,255,255,255,255,255,255,255,255,248,214,213,192,162,181,194,169,138,91,87,245,251,248,246,243,241,239,236,255,255,255,255,255,255,255,255,255,247,220,213,190,167,169,174,141,104,67,205,255,248,249,247,243,242,239,236,255,255,255,255,255,255,255,255,255,233,227,213,204,184,160,152,114,68,192,255,249,251,249,248,246,245,248,236,255,255,255,255,255,255,255,255,255,217,234,220,214,181,154,125,75,118,255,252,255,252,250,248,247,229,193,131
18,80,82,84,87,91,96,99,104,109,115,120,123,126,129,131,132,134,137,138,140,143,145,147,148,149,150,150,153,80,83,85,88,93,97,99,104,110,115,120,124,128,129,130,132,136,138,139,142,143,144,146,148,149,150,152,153,80,83,86,88,92,97,100,104,111,116,120,125,129,130,131,133,137,139,140,142,145,146,148,149,150,151,153,154,81,84,87,89,92,97,100,105,112,117,122,126,130,131,132,134,136,139,142,145,146,148,150,150,150,151,154,155,81,83,86,90,94,98,101,106,112,119,123,127,130,131,134,134,142,139,130,141,149,145,143,154,154,153,154,156,81,83,86,89,95,99,101,106,112,119,125,125,131,137,127,137,170,132,107,101,151,154,122,113,155,156,156,157,82,84,87,89,94,98,102,109,114,121,125,122,172,144,106,142,161,134,130,133,170,153,120,91,103,158,156,157,82,85,87,89,95,100,102,109,111,123,119,150,191,144,115,155,157,138,147,152,152,130,125,117,80,130,164,157,83,86,87,90,95,101,105,105,126,163,120,127,178,144,137,133,142,132,138,140,125,117,132,125,103,99,166,159,84,86,88,91,96,100,105,100,176,177,139,107,149,163,139,113,113,127,110,115,96,132,137,130,122,87,132,170,84,86,88,91,97,101,99,116,192,175,158,133,115,171,141,114,98,151,109,77,90,156,141,143,135,109,88,151,84,86,88,91,96,102,94,140,166,168,171,149,99,134,151,119,84,140,136,96,60,130,145,155,145,119,95,95,85,87,88,93,97,103,94,149,138,134,161,131,95,94,132,106,79,100,114,81,71,130,161,168,148,123,106,88,85,86,88,93,97,103,94,165,161,129,141,95,86,72,95,90,67,70,69,100,167,171,155,155,141,122,109,98,85,87,88,92,98,100,97,176,165,141,144,90,82,63,85,89,59,43,109,180,176,161,155,139,125,114,107,92,84,87,89,92,98,98,112,187,161,136,127,97,78,54,83,81,54,96,183,186,177,162,145,128,109,102,97,97,85,87,88,92,97,98,108,201,177,156,144,122,97,86,87,84,106,174,189,186,176,151,137,119,101,97,87,126,86,87,89,94,97,99,106,199,186,169,157,136,120,124,117,123,168,187,187,181,162,141,127,112,98,91,89,156,84,87,89,94,98,101,105,199,193,175,156,139,130,134,132,152,181,182,180,168,149,133,118,105,97,84,110,172,85,87,89,93,98,102,102,194,192,175,158,146,143,140,145,166,178,181,169,152,142,125,111,104,99,81,140,172,86,88,89,94,98,103,101,179,193,178,165,157,153,150,156,167,170,171,153,137,130,117,105,99,92,95,167,169,86,88,90,95,100,104,101,157,195,181,178,167,155,150,154,157,157,154,141,128,119,108,100,98,84,132,173,166,86,88,90,96,100,104,104,134,193,185,189,176,160,147,138,139,141,138,135,119,109,102,97,89,92,164,168,168,86,88,91,97,99,103,111,112,180,186,180,175,160,143,131,127,132,130,129,115,102,99,98,78,125,172,166,169,86,87,91,96,100,102,114,111,149,184,162,160,153,139,128,125,128,131,130,118,105,101,92,81,157,169,168,171,86,88,91,96,100,102,110,116,124,174,162,147,138,126,125,130,118,123,127,116,103,99,83,98,170,165,168,170,85,88,91,96,99,103,112,121,119,157,151,135,138,129,139,142,119,116,126,117,102,98,77,114,174,165,168,170,84,87,91,95,98,104,111,120,120,144,158,142,148,139,136,139,123,109,120,116,102,94,75,106,174,167,169,170
18,229,229,229,230,230,231,232,232,232,232,232,232,232,231,230,229,231,231,232,231,230,229,227,226,224,223,221,219,229,230,231,232,232,232,233,233,233,233,232,233,232,231,232,232,232,232,232,231,230,228,228,228,226,224,223,223,232,233,234,234,234,235,234,234,233,233,234,233,233,234,233,232,233,235,232,234,230,228,228,229,227,225,224,224,234,234,234,235,236,238,236,235,234,233,235,234,235,234,233,235,234,242,226,221,235,231,230,229,227,227,226,225,234,235,237,237,236,237,238,239,236,235,236,236,233,236,237,236,234,255,228,183,217,235,232,231,231,230,228,225,237,239,239,238,238,239,238,239,238,239,240,236,255,255,220,231,255,255,253,198,201,230,228,233,230,229,228,228,238,239,240,239,238,240,240,242,237,240,238,255,255,255,215,194,247,255,255,255,255,243,191,191,232,228,228,231,239,240,240,240,241,241,243,239,246,255,231,250,255,250,223,185,244,243,255,255,255,253,193,139,211,235,230,232,241,242,242,243,243,242,237,246,255,255,227,196,255,245,213,192,255,229,230,255,255,248,185,130,175,239,231,231,241,240,241,242,240,243,238,255,255,255,234,196,255,253,211,191,255,244,192,255,255,251,175,126,159,244,233,234,243,243,243,243,245,239,255,255,255,255,240,191,255,255,213,196,255,239,202,255,255,248,170,118,177,247,232,234,245,247,246,247,245,246,255,255,255,255,248,195,255,255,211,182,245,219,201,255,255,237,162,115,212,244,235,237,247,248,246,248,245,255,255,255,255,255,241,186,226,238,205,150,179,171,228,255,255,219,154,135,243,238,238,238,247,247,248,245,255,255,255,230,236,228,190,147,181,208,165,104,196,240,255,255,255,206,141,187,250,239,240,239,249,250,252,247,255,255,255,232,208,205,163,121,201,203,135,212,255,255,255,249,238,192,141,230,247,241,240,240,250,252,254,245,255,255,255,245,197,186,166,112,220,189,235,255,255,255,244,218,217,170,139,241,245,245,243,241,250,251,255,250,255,255,255,253,225,191,178,164,158,233,255,255,255,255,227,196,189,141,174,255,243,246,244,244,252,254,253,255,255,255,255,255,241,207,193,193,225,255,255,255,255,248,205,179,170,119,206,255,246,247,246,245,254,255,252,255,255,255,255,255,255,222,216,239,255,255,255,255,255,228,188,169,139,147,247,250,249,248,248,246,254,255,252,255,255,255,255,255,255,244,234,255,255,255,255,255,255,213,175,159,120,217,255,249,250,248,249,247,253,255,252,255,255,255,255,255,255,250,243,254,255,255,255,255,227,201,161,132,146,255,252,251,249,250,250,247,254,255,254,255,255,255,255,255,255,249,246,250,255,255,251,253,213,178,144,111,207,255,250,252,249,251,249,250,255,255,254,255,255,255,255,255,255,241,242,249,255,247,238,235,209,155,123,133,253,253,251,252,253,250,249,255,254,255,254,255,255,255,255,255,243,231,233,240,255,240,226,216,180,133,97,199,255,253,254,252,252,250,251,204,255,255,255,255,255,255,255,255,248,246,235,239,255,226,200,181,145,94,135,255,254,255,252,254,255,255,193,121,201,192,177,226,255,255,255,255,255,255,232,236,255,201,169,147,102,99,244,255,255,254,255,254,227,183,133,120,147,146,138,143,151,152,156,160,169,190,175,194,205,167,141,116,75,207,255,255,255,255,223,162,132,116,109,100,170,133,134,137,129,123,115,107,94,89,89,93,93,85,81,78,71,106,131,162,218,218,122,123,128,121,111,99
5,175,179,181,184,186,189,192,193,193,193,194,196,196,195,196,196,196,196,196,197,197,195,195,195,196,197,197,196,177,181,183,186,189,191,193,195,196,196,197,198,197,197,198,199,198,199,199,199,198,198,199,198,198,198,199,198,179,181,184,187,192,193,195,196,197,198,198,199,199,200,194,192,202,200,201,200,200,202,203,202,200,200,199,200,181,183,187,190,192,195,197,198,199,199,200,202,199,210,184,139,206,203,203,203,204,203,204,205,202,202,202,201,182,186,189,191,194,197,197,202,202,202,203,200,211,214,161,156,207,203,204,205,205,206,206,206,206,205,203,202,184,187,191,193,197,198,203,180,193,205,203,207,232,163,142,205,207,205,205,204,206,203,204,209,208,206,205,204,186,188,192,194,198,196,217,148,162,212,199,232,211,125,191,212,206,205,213,214,211,159,160,217,208,209,209,206,186,190,193,195,197,204,213,126,181,211,207,223,159,151,216,206,207,223,223,187,169,143,185,214,209,211,211,208,187,191,195,197,197,220,177,133,211,208,206,177,129,193,213,203,219,218,163,135,183,203,214,210,211,212,212,211,188,191,196,198,197,226,164,152,215,207,186,148,135,217,200,202,195,143,144,202,218,214,212,214,212,212,212,212,189,193,196,199,199,227,166,156,218,202,181,157,141,216,187,198,136,134,212,217,212,213,213,215,214,214,214,213,190,192,195,199,201,223,170,149,217,200,184,148,153,193,180,182,121,186,220,213,215,213,215,214,214,216,214,213,191,194,197,200,202,212,206,153,192,205,186,125,149,159,175,158,141,211,216,217,216,215,212,217,218,216,216,215,191,195,199,202,204,203,220,191,150,193,166,150,124,135,161,141,171,222,214,210,216,223,200,163,218,217,216,215,190,193,197,199,205,199,210,223,172,153,147,139,128,132,132,141,193,216,209,217,227,205,211,163,186,226,216,217,191,194,197,200,204,203,204,233,208,160,127,119,120,122,123,151,174,203,217,201,175,152,181,197,159,197,221,216,192,195,198,199,203,205,204,227,217,166,122,117,118,116,122,150,162,169,182,139,144,197,200,194,148,173,222,215,192,196,199,200,202,206,205,219,223,166,118,113,114,112,121,136,144,128,140,171,213,206,205,161,155,222,217,217,193,196,199,200,204,206,205,217,227,173,119,110,114,114,117,127,123,136,205,223,210,202,177,130,213,222,218,218,196,200,201,204,206,206,206,214,228,181,126,109,112,116,113,119,101,165,231,214,203,192,130,152,227,215,218,218,175,181,188,191,195,199,199,207,226,188,133,109,111,112,116,133,141,149,195,206,205,164,124,207,229,222,223,223,117,118,122,123,125,133,124,181,236,195,144,111,113,112,115,137,161,172,150,194,206,148,138,193,192,196,199,200,122,121,120,120,119,123,109,180,234,200,155,115,109,117,127,148,166,177,163,183,183,129,118,119,122,122,125,125,122,122,122,129,128,129,117,186,230,205,161,120,111,117,148,169,182,173,146,146,145,126,132,129,133,131,126,124,120,120,121,124,124,129,118,177,227,207,167,131,123,113,157,176,177,157,129,117,121,133,137,132,131,127,150,187,121,121,122,123,123,126,116,176,220,203,170,143,130,109,150,173,166,137,117,119,128,131,130,120,146,192,219,210,121,122,123,123,122,125,116,193,224,200,175,149,129,111,131,153,143,123,117,128,133,129,124,177,230,224,206,193,120,121,122,123,123,123,119,207,223,196,169,138,119,109,119,128,122,117,126,130,134,130,195,240,219,205,196,176
16,149,150,149,150,151,151,152,152,152,152,152,151,152,153,153,153,153,153,152,153,153,152,153,153,153,152,153,152,150,151,151,152,152,152,152,152,153,154,152,153,153,153,153,154,153,153,154,155,156,154,154,155,154,154,154,153,151,151,152,153,153,153,152,153,155,155,154,155,154,154,155,154,155,155,156,157,156,156,156,156,156,156,156,154,151,152,153,153,154,154,154,155,155,155,156,155,156,156,155,157,159,160,157,155,155,155,157,156,157,157,157,156,152,152,153,154,155,155,154,155,156,156,157,158,157,156,154,140,139,138,155,163,156,157,157,157,157,157,156,155,152,152,153,155,155,155,156,155,156,156,154,148,145,159,168,126,107,99,87,128,164,162,156,158,157,158,157,156,152,153,153,154,156,157,157,157,157,157,151,129,139,173,169,143,125,112,81,50,85,145,165,157,158,158,158,157,152,153,154,156,157,157,156,149,141,177,164,138,155,174,159,149,138,112,74,68,46,55,116,166,157,158,158,157,154,154,155,156,158,155,166,146,146,169,161,145,158,175,146,139,130,106,60,72,58,52,44,106,166,158,159,159,155,155,156,157,158,155,179,158,151,161,160,157,151,163,133,133,119,93,57,62,53,57,56,39,108,169,157,160,156,156,156,158,156,157,165,157,145,161,166,161,155,159,137,130,111,79,55,52,48,55,56,53,36,134,168,160,155,155,156,156,159,162,155,163,157,152,168,162,158,169,150,132,103,69,51,42,44,53,53,53,40,77,170,160,154,153,155,153,167,159,154,165,170,154,162,161,159,167,154,127,91,63,41,29,47,57,56,51,44,55,160,161,154,155,155,155,161,162,158,158,168,155,163,167,166,164,153,117,77,55,21,26,47,59,62,64,44,66,166,159,155,155,156,157,156,163,168,160,170,164,134,175,172,162,154,110,67,30,0,28,43,53,68,64,46,75,169,158,155,155,157,157,157,164,170,172,145,158,139,165,171,164,156,103,55,1,0,19,33,50,75,56,46,82,168,159,155,156,156,157,158,157,159,180,117,126,160,155,166,170,151,96,48,1,0,4,25,59,82,53,41,109,170,160,156,156,157,157,157,157,146,157,177,151,144,155,169,173,144,93,43,17,4,0,32,80,82,53,43,128,170,162,157,157,158,159,158,158,150,136,161,158,149,154,172,173,139,87,41,34,35,17,53,105,94,59,39,126,170,162,147,150,151,153,155,158,161,148,149,151,140,132,165,171,135,77,42,43,44,28,75,128,121,79,37,135,170,160,77,81,84,85,89,94,96,98,100,101,76,79,154,172,134,68,47,50,51,42,87,130,135,106,47,121,166,174,64,64,64,63,61,63,62,60,60,61,63,56,151,178,135,65,69,60,54,54,93,127,141,134,73,112,182,196,69,70,71,69,67,70,70,70,70,69,75,56,138,183,130,72,116,77,67,54,79,119,136,145,98,124,183,191,67,67,68,68,68,68,70,69,69,70,73,59,115,180,125,81,146,94,81,69,54,96,130,126,91,77,184,176,67,67,67,69,69,69,70,69,70,71,74,60,105,194,115,98,165,116,97,86,65,53,97,104,70,101,154,157,67,67,66,67,68,69,70,68,71,71,74,60,102,188,81,139,172,133,112,101,78,52,51,61,63,163,116,134,66,67,66,67,68,68,68,68,70,70,71,67,79,101,124,176,168,144,124,111,86,59,50,45,57,182,152,116,66,67,66,68,68,67,67,70,71,70,70,72,66,71,169,178,172,150,130,117,96,63,51,47,59,187,179,154
22,120,124,127,130,132,135,138,142,143,147,150,149,149,151,152,154,155,155,153,154,155,155,156,156,156,155,156,155,123,127,129,133,135,138,143,145,147,150,152,152,157,156,156,157,157,161,158,158,159,158,160,160,159,159,159,159,125,131,132,136,138,141,144,147,150,152,155,156,124,155,160,161,157,126,161,159,156,163,163,164,163,163,162,161,127,132,135,138,141,143,146,151,153,154,160,151,85,144,167,166,166,82,152,172,129,126,172,164,165,165,166,165,130,134,137,140,143,147,150,154,157,156,168,144,72,148,167,176,164,88,156,181,129,94,176,167,168,167,168,168,132,136,139,143,146,149,153,156,158,158,173,141,68,151,168,183,161,95,162,180,128,92,174,169,170,171,171,171,135,138,142,145,148,152,155,157,162,160,175,152,72,151,172,183,149,99,168,183,135,98,176,173,172,172,173,173,136,140,143,147,150,154,157,161,166,162,177,165,74,144,177,181,134,96,171,182,133,104,180,175,175,175,175,174,139,143,145,149,153,156,160,164,167,164,183,167,72,142,182,170,120,99,175,182,131,104,184,177,178,178,178,177,140,144,147,151,155,157,161,165,169,167,183,178,83,134,192,151,113,98,180,184,132,110,187,178,178,178,179,179,141,145,149,152,155,159,162,165,170,170,179,188,129,113,120,137,125,100,185,188,125,118,190,178,180,181,181,181,143,147,151,155,158,161,165,168,171,172,178,178,153,127,105,109,121,115,190,182,115,129,193,180,183,184,184,183,144,148,152,156,158,162,166,170,173,172,186,204,170,164,164,144,93,124,188,176,107,143,193,183,184,184,185,185,146,150,154,157,160,164,167,171,174,178,180,168,172,127,178,161,104,81,150,145,95,160,192,185,185,186,186,186,148,152,156,159,163,166,169,173,175,181,174,147,159,72,108,169,136,80,81,105,79,171,191,186,185,187,187,187,148,153,157,160,165,166,169,174,176,185,187,146,146,102,38,136,172,121,73,70,82,185,190,188,188,188,189,189,149,154,158,161,165,169,172,175,176,192,180,134,127,111,59,85,190,155,102,65,84,192,190,190,190,191,190,190,150,155,158,162,165,169,173,177,176,197,188,143,102,86,75,143,196,164,123,86,85,194,191,192,192,192,191,191,151,156,159,162,166,169,172,176,178,202,183,136,105,110,114,202,190,149,121,90,84,198,192,192,193,192,192,192,152,157,160,163,167,171,174,178,180,197,177,138,130,113,152,201,174,138,103,73,102,201,191,193,193,194,195,194,153,158,162,165,169,172,176,179,180,194,174,135,134,109,172,199,157,125,98,65,127,206,193,196,195,198,197,197,153,157,162,166,169,172,176,179,180,189,172,135,143,119,184,198,147,114,90,66,134,207,195,198,199,199,198,198,153,158,162,165,168,173,176,179,181,182,172,142,157,123,176,183,141,109,85,61,148,207,195,198,199,199,199,199,153,158,162,165,168,171,176,179,183,179,172,148,159,125,167,165,129,103,81,62,165,204,196,198,198,198,200,199,155,158,162,166,170,172,176,180,182,183,177,152,148,117,149,147,113,101,78,71,181,198,197,198,198,199,199,198,155,159,163,167,171,173,177,181,182,182,178,147,123,106,142,126,109,105,73,106,200,196,197,198,199,199,199,199,154,159,163,167,170,174,177,181,178,184,180,151,128,124,148,112,120,93,66,168,203,198,199,199,199,200,199,198,154,158,162,166,170,173,177,181,175,187,188,162,148,132,144,108,122,68,110,203,196,199,200,199,199,199,199,199
8,229,234,236,240,243,240,244,245,245,244,245,245,246,244,242,243,240,240,238,237,236,235,234,233,231,231,229,227,233,235,240,234,220,247,245,246,245,245,245,246,247,245,245,244,243,242,240,238,238,237,237,235,234,232,231,229,235,234,250,235,158,235,251,248,246,247,247,248,249,247,247,246,244,243,244,242,240,240,240,237,237,235,233,232,237,237,254,251,145,205,255,249,251,250,249,250,249,248,248,247,246,245,245,244,241,242,241,238,237,236,234,234,237,240,249,255,151,185,255,250,254,251,250,250,251,250,249,247,246,247,246,245,244,242,242,241,239,238,237,237,239,244,247,255,158,168,255,253,255,255,255,252,254,255,254,250,248,249,248,246,246,243,245,243,241,241,239,237,242,246,246,255,206,153,255,255,254,237,237,255,249,226,240,255,255,253,249,250,247,246,246,246,245,244,242,238,244,247,244,255,229,135,242,255,255,247,185,228,255,197,162,241,234,250,255,248,251,249,247,248,247,244,242,240,245,249,248,255,238,160,198,255,255,255,220,156,255,223,216,163,163,165,249,255,251,253,249,250,249,245,243,241,249,252,251,255,255,206,181,254,255,255,255,147,210,230,238,216,196,174,190,249,254,253,252,253,250,246,244,244,251,253,253,255,255,202,196,240,245,255,255,160,163,218,189,253,255,255,213,152,250,254,252,252,251,249,245,244,251,254,255,255,255,251,222,255,242,247,255,160,131,191,124,216,240,255,226,132,233,255,252,253,253,251,249,246,252,255,255,255,255,255,210,212,238,212,255,205,127,160,124,166,236,255,230,134,232,255,253,254,254,254,251,247,254,255,255,255,255,253,185,184,197,175,235,255,153,129,113,180,255,255,236,134,233,255,254,255,255,255,254,250,255,255,255,255,255,255,224,183,172,164,186,204,160,140,106,198,255,255,232,134,235,255,255,255,255,255,255,251,255,255,255,255,255,255,243,194,166,166,161,224,223,164,190,245,255,255,209,122,219,255,255,255,255,255,255,252,255,255,255,255,255,255,250,215,170,146,181,251,250,254,255,254,233,221,175,114,205,255,255,255,255,255,255,253,255,255,255,255,255,255,255,233,199,151,173,241,255,255,255,246,204,174,148,114,244,255,255,255,255,255,255,253,255,255,255,255,255,255,255,237,215,172,170,255,255,255,255,235,183,148,109,167,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,230,188,187,255,255,255,240,209,161,121,112,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,243,200,194,255,255,247,211,177,145,96,193,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,239,198,199,255,255,231,198,160,122,121,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,220,177,206,245,222,212,190,151,94,211,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,241,204,189,212,227,196,186,181,112,140,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,246,217,210,217,210,186,176,148,113,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,221,224,213,183,175,157,107,205,255,255,255,255,255,255,255,255,255,255,220,149,255,255,255,255,255,255,251,235,217,218,199,162,160,120,148,255,255,255,255,255,255,255,255,247,198,134,76,58,255,255,251,255,255,243,217,206,203,218,191,140,154,101,225,255,255,255,255,255,239,217,167,103,57,41,48,55
24,165,167,168,169,170,170,171,172,172,172,172,171,171,170,170,169,166,165,164,163,162,160,158,157,154,152,151,150,166,169,170,171,172,173,173,173,174,175,175,173,172,171,170,170,169,168,166,165,164,162,160,158,156,154,153,152,168,170,172,174,174,174,175,176,176,177,176,175,174,173,172,172,170,170,169,166,164,163,162,160,158,156,155,154,169,172,173,175,176,177,178,178,178,179,179,177,177,175,175,174,172,171,170,168,166,166,165,163,161,158,158,156,170,175,167,148,175,179,180,181,180,181,181,180,180,178,178,177,175,174,172,171,170,168,166,164,163,162,159,158,172,180,153,109,144,181,182,183,183,182,183,182,182,181,180,179,177,176,174,173,172,171,168,166,165,163,161,160,174,176,149,112,98,175,183,185,185,184,184,184,183,183,182,180,179,178,177,174,173,173,171,168,167,165,164,162,175,179,169,124,89,145,185,186,186,186,186,186,185,184,183,181,181,180,179,177,176,174,172,170,168,166,164,164,176,180,180,146,98,103,182,187,188,186,172,171,186,185,183,182,182,171,165,178,178,175,174,172,170,161,141,130,178,180,183,171,126,93,146,189,189,174,137,112,160,166,135,132,162,141,110,140,179,177,175,173,164,141,113,110,179,181,184,184,151,102,96,182,189,162,149,125,106,133,110,88,107,130,101,80,169,179,176,165,151,124,96,155,180,182,184,186,170,117,95,143,188,156,164,142,109,99,109,92,108,130,101,73,164,181,166,143,134,98,114,167,181,183,185,187,186,155,120,109,173,142,156,155,120,87,108,99,116,132,103,81,175,180,131,123,116,79,146,171,182,185,187,189,191,180,135,111,133,133,126,157,128,99,84,88,111,127,99,99,182,160,112,118,104,94,168,172,184,186,188,190,192,190,159,148,133,120,110,134,134,101,72,70,78,96,80,84,175,122,111,118,87,147,175,173,184,187,190,192,193,193,187,165,133,106,91,88,135,117,94,61,49,68,62,60,101,100,113,107,92,173,176,174,186,188,191,193,194,195,194,169,120,101,89,84,121,141,125,74,39,68,79,99,108,112,113,90,128,178,176,174,186,188,192,194,195,197,196,175,150,128,94,88,111,140,121,83,68,93,121,127,125,109,99,78,163,181,179,176,187,189,193,194,195,198,196,186,167,136,99,92,104,133,124,128,118,119,131,128,121,97,75,104,180,181,180,179,188,191,193,194,196,200,198,187,178,148,119,96,91,128,158,159,154,142,135,126,112,83,77,167,183,182,181,180,188,191,194,195,198,200,200,184,178,156,130,101,96,123,167,169,162,148,132,118,100,68,141,185,184,183,181,179,188,192,195,195,199,200,201,186,169,153,139,109,107,130,162,161,153,139,123,106,83,97,183,187,186,184,181,180,190,193,195,196,199,200,201,190,163,157,145,119,111,131,149,151,146,127,107,89,73,163,188,188,187,185,183,181,191,193,194,197,200,201,201,201,177,159,145,126,105,118,137,139,132,111,91,71,130,189,189,188,186,185,183,182,190,194,195,197,201,201,201,202,192,169,145,123,100,104,122,121,112,92,70,116,188,192,190,188,187,185,184,182,190,193,195,198,201,202,202,203,196,169,143,117,106,106,117,113,94,73,88,188,195,193,192,189,187,186,184,182,190,193,196,199,201,201,202,202,195,172,149,133,125,120,119,112,83,62,151,196,195,193,191,190,188,186,184,181,189,192,195,197,198,201,202,197,191,180,163,142,124,127,122,102,75,78,188,196,194,192,191,189,188,186,184,181
6,226,226,226,228,229,230,230,230,230,231,233,232,231,231,228,227,228,229,228,226,226,225,225,222,220,221,219,218,225,228,228,230,231,232,233,233,233,233,234,234,234,234,230,229,229,229,228,229,227,226,227,226,222,222,223,222,228,231,232,232,233,234,235,234,235,234,234,234,234,234,232,231,231,230,229,230,228,228,227,226,225,224,223,222,229,231,234,232,234,236,234,234,237,235,236,236,234,234,234,233,234,232,231,231,228,229,228,229,227,223,224,222,231,233,235,234,236,238,238,239,240,239,238,238,236,236,235,235,233,234,234,233,232,232,230,221,220,233,223,222,232,234,235,235,237,239,240,240,240,240,238,237,238,238,237,236,238,238,235,231,227,215,212,185,229,255,203,212,234,235,236,238,241,241,241,241,241,241,242,243,240,238,234,229,219,209,212,219,214,203,204,186,206,224,173,214,236,237,238,240,243,245,244,243,242,242,236,234,234,227,210,200,173,182,191,213,200,185,160,144,140,160,203,230,237,239,241,243,244,246,247,245,244,236,201,198,183,194,212,201,189,157,168,164,142,124,128,155,187,220,232,228,239,242,242,245,245,248,248,244,238,226,210,211,172,118,153,151,133,108,120,129,161,188,225,240,239,235,230,230,242,244,244,249,249,248,244,221,225,228,231,215,155,101,82,80,86,121,177,229,245,246,238,235,236,234,232,232,246,246,247,250,245,238,232,222,214,221,229,196,133,97,85,92,189,229,251,247,243,241,240,240,238,235,234,233,247,246,246,243,237,231,226,218,206,216,214,204,182,114,88,90,224,255,240,246,245,244,244,242,238,236,236,236,247,245,243,238,232,221,219,215,209,211,216,221,200,131,92,86,103,250,247,246,245,244,244,242,241,238,238,237,241,242,246,237,225,218,219,218,213,214,217,213,196,141,90,95,78,170,255,247,247,247,244,243,243,241,241,239,254,255,248,235,226,220,216,219,215,209,214,215,211,175,99,86,91,92,238,255,249,248,246,244,243,243,241,239,255,255,241,230,232,221,216,216,219,220,224,224,213,170,107,87,85,78,232,255,249,250,249,247,246,244,243,241,255,245,234,236,229,220,215,215,214,205,203,199,181,148,113,95,74,157,255,250,252,251,250,249,247,246,245,242,255,241,229,232,217,215,220,211,205,191,182,178,161,136,120,107,74,154,255,252,254,251,251,250,249,250,247,244,255,252,226,210,210,217,221,216,203,191,180,180,164,128,118,119,97,83,243,255,255,253,252,250,249,250,248,245,243,245,214,194,199,210,210,207,193,177,156,150,127,109,111,127,100,83,243,255,255,255,252,251,250,250,249,247,110,177,184,170,182,195,194,182,164,147,132,117,74,89,113,121,90,189,255,255,255,255,255,253,252,252,251,249,60,73,123,144,158,174,167,149,125,109,97,90,81,101,115,125,215,255,255,255,255,255,255,254,252,253,252,250,64,63,59,72,89,115,128,119,130,162,193,157,132,137,184,246,255,255,255,255,255,255,255,255,255,254,252,250,57,60,58,31,27,40,47,56,243,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,251,53,51,63,51,23,33,12,121,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,252,49,47,57,57,25,29,21,227,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,45,44,58,59,29,14,98,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252
8,132,137,143,146,149,150,155,160,161,162,163,164,165,167,166,166,167,168,168,168,168,167,167,166,166,165,164,164,134,140,147,151,150,166,159,157,166,166,166,167,168,168,169,169,169,169,169,168,169,169,168,166,167,165,164,164,138,144,151,156,153,189,152,131,175,169,171,171,172,172,172,173,173,173,172,172,171,172,170,170,169,168,166,165,141,148,155,159,159,203,148,116,180,175,177,177,178,178,177,177,177,178,177,175,175,175,174,174,172,170,169,167,144,151,158,163,163,216,147,115,185,181,182,183,183,182,182,184,185,180,181,184,180,178,178,178,177,174,173,170,148,154,161,167,169,214,143,120,190,185,188,187,192,189,189,180,179,198,185,157,182,185,183,183,180,178,177,176,152,160,166,170,172,218,155,120,192,190,191,193,165,178,220,172,120,178,211,137,138,192,188,188,186,183,182,179,156,163,168,173,178,221,163,127,189,193,208,228,166,157,212,186,140,154,186,163,121,170,198,192,191,188,186,184,160,167,173,178,181,222,188,154,179,201,229,235,223,201,173,173,186,210,153,113,118,144,204,194,194,193,191,189,163,170,178,183,183,218,193,180,193,216,214,216,230,181,177,181,192,191,162,115,83,123,207,197,198,197,195,192,165,173,181,186,185,215,205,190,212,219,194,164,228,189,170,181,162,154,175,137,78,134,212,199,200,199,198,197,168,175,182,189,188,215,220,187,205,207,205,158,183,207,138,118,113,164,188,149,97,171,213,204,204,202,201,200,172,179,185,191,191,218,231,158,189,189,169,166,163,201,142,85,78,206,204,167,110,159,218,206,207,205,203,202,175,183,188,193,194,217,233,169,140,183,147,149,157,184,172,123,91,187,226,183,126,108,211,212,210,208,206,204,176,184,190,195,196,216,236,196,131,147,164,143,172,191,181,127,193,219,217,189,138,92,180,223,212,211,209,208,179,186,192,197,199,215,244,209,153,127,173,145,201,218,187,183,234,223,191,161,134,99,180,226,215,214,211,209,181,188,194,200,203,216,245,218,176,134,147,157,197,227,224,239,227,201,179,141,120,108,209,222,217,219,223,221,183,191,196,202,205,218,246,229,193,153,142,160,189,233,232,238,221,189,159,135,96,143,236,229,228,212,169,122,184,192,198,204,207,219,245,235,203,174,155,163,180,231,237,229,207,176,148,120,93,199,209,164,130,89,64,61,185,193,200,204,207,218,241,235,213,185,176,162,176,216,237,221,191,161,137,112,95,115,78,61,64,71,71,68,187,195,201,205,209,214,232,235,222,193,195,165,165,199,227,215,182,150,129,104,77,56,60,64,59,73,75,63,187,195,201,207,212,212,222,235,226,202,197,174,158,192,207,207,173,141,122,97,66,56,56,70,54,59,74,73,188,196,201,207,212,215,215,229,223,208,193,174,140,184,188,193,158,129,113,78,65,58,43,63,66,52,60,70,187,195,200,206,211,217,209,224,226,208,190,166,138,156,182,168,147,121,104,49,49,71,47,48,68,60,50,59,188,196,201,206,210,217,210,223,237,216,191,167,142,139,170,158,136,115,89,39,34,61,65,44,56,65,54,53,189,196,202,206,211,216,213,223,230,208,181,166,141,137,150,149,128,101,74,57,25,45,67,56,43,61,62,51,191,197,203,207,210,219,204,223,225,181,182,171,148,135,138,144,126,79,57,70,31,31,58,65,48,49,60,56,184,192,198,204,208,222,159,222,228,190,199,181,154,131,133,139,117,56,41,70,44,23,46,64,58,48,51,59
18,139,142,146,148,152,155,157,159,162,164,167,166,167,167,168,169,171,171,172,172,171,172,173,172,173,172,172,171,141,145,148,151,154,157,160,162,164,166,169,168,169,170,170,172,174,174,175,175,173,173,175,175,175,175,174,172,144,147,150,154,156,159,164,166,168,169,172,172,173,173,174,175,175,175,175,176,175,176,177,177,178,179,178,177,147,150,153,155,159,162,166,169,170,172,173,174,175,176,177,178,178,179,181,179,178,180,180,180,181,181,180,179,148,151,155,158,162,165,169,171,173,174,177,176,178,181,181,181,178,177,163,178,184,186,186,181,182,182,182,181,149,153,157,162,164,167,171,172,175,177,179,179,180,183,180,178,201,168,117,109,182,167,164,189,187,184,183,184,152,155,160,163,164,168,172,173,178,181,180,183,185,182,151,119,173,141,80,75,82,132,105,132,196,185,187,187,154,158,162,164,167,171,173,177,179,181,183,176,176,214,145,105,142,133,83,77,53,125,132,68,161,197,188,188,156,161,164,167,171,173,176,180,181,181,193,159,107,159,174,136,149,159,137,134,113,98,112,69,118,206,188,190,156,162,167,171,172,175,178,181,182,185,209,179,137,92,160,156,114,163,174,172,168,125,67,49,116,208,192,195,160,162,167,172,174,177,180,184,184,193,189,201,173,112,97,156,96,113,173,169,173,132,72,32,130,208,194,197,161,164,169,172,175,179,181,185,184,197,150,168,165,133,66,105,115,87,134,129,161,139,86,33,141,208,195,197,162,167,172,175,178,180,183,186,186,200,131,107,147,102,48,68,101,62,72,117,173,159,103,39,162,204,196,198,164,167,172,176,180,181,185,188,190,204,173,132,128,73,36,59,79,45,47,66,188,172,121,50,170,209,197,198,167,170,173,177,180,183,187,190,193,203,168,118,111,74,34,48,80,29,29,106,193,191,140,64,95,213,198,200,167,171,173,177,180,184,187,189,193,201,182,139,103,75,33,51,81,28,117,201,194,183,136,87,52,191,208,203,169,173,175,179,181,185,189,191,191,208,197,158,114,79,62,50,51,121,214,209,202,166,117,85,64,194,208,205,171,174,177,180,183,187,190,192,193,208,199,162,124,99,87,79,112,199,216,203,183,153,96,66,80,211,205,205,173,175,177,182,185,188,192,195,195,205,201,173,144,127,108,94,147,208,217,193,152,126,89,50,110,218,204,206,172,175,178,181,186,189,193,197,194,203,201,179,152,126,113,98,146,207,215,181,143,110,79,48,141,219,205,208,173,177,180,183,186,190,193,198,196,196,197,181,152,128,138,107,131,205,209,165,127,95,72,51,174,216,207,209,174,177,179,186,188,191,195,196,199,195,192,187,163,147,151,114,110,204,188,147,107,81,64,66,201,214,211,211,174,178,182,185,188,193,195,194,198,196,188,183,169,147,152,124,101,192,170,127,94,72,55,92,220,211,212,213,175,178,180,184,188,190,193,194,198,200,193,186,174,150,143,123,95,176,154,105,84,72,47,128,226,210,213,213,173,176,179,183,188,188,191,195,198,198,197,196,172,144,129,101,81,152,125,84,76,70,54,174,218,211,213,212,172,175,181,183,189,190,193,196,198,188,201,194,157,131,101,76,90,134,102,87,80,59,104,214,208,211,212,213,174,177,181,185,189,191,194,198,197,189,214,189,159,139,107,102,100,131,92,91,75,60,178,215,210,212,212,212,174,178,181,186,190,192,195,198,195,195,213,198,173,155,117,103,117,115,93,89,51,122,218,209,213,212,213,214
10,89,98,113,135,144,152,157,160,161,164,166,168,168,169,170,170,168,168,167,165,164,163,160,159,158,157,154,151,89,99,115,136,146,154,158,161,164,166,168,170,170,171,172,172,172,171,169,168,154,151,163,162,160,157,156,153,90,101,116,137,148,156,160,163,165,168,171,172,173,174,174,174,174,174,172,174,141,109,165,164,163,160,158,155,92,102,118,139,150,157,162,165,167,170,173,174,174,176,177,176,176,176,175,177,140,98,163,167,165,163,160,158,94,103,120,140,151,158,164,167,168,171,175,176,177,178,179,179,179,178,177,180,137,94,160,170,168,166,163,161,95,105,122,142,153,161,167,168,170,174,176,177,179,180,181,182,182,181,180,181,136,94,161,172,171,169,166,164,96,106,123,143,154,162,168,170,171,176,179,180,181,182,183,185,183,183,181,185,143,96,161,174,172,171,169,166,97,107,124,144,155,163,168,170,173,178,181,181,182,184,185,186,186,185,184,186,137,92,162,176,174,172,170,167,98,107,126,144,156,164,169,171,174,179,182,183,185,186,186,187,188,186,186,169,107,85,164,178,176,175,172,169,99,108,127,145,156,164,169,172,176,180,183,185,186,187,188,188,186,177,185,148,84,89,171,180,179,176,173,170,100,109,128,145,157,165,170,174,176,181,185,186,187,188,189,190,180,150,134,120,81,78,174,180,179,177,174,172,100,110,129,146,158,166,172,174,178,183,186,187,189,188,175,180,182,166,126,81,79,73,161,182,180,178,175,173,102,111,131,147,158,167,172,175,179,184,187,188,189,184,143,120,111,133,94,72,80,72,128,184,182,180,177,175,102,112,132,147,159,168,173,176,179,184,187,186,178,186,158,120,54,56,54,92,93,72,115,185,183,180,179,176,103,112,132,147,160,168,174,177,180,184,188,175,141,144,173,132,69,49,56,115,129,85,105,186,184,182,180,177,103,113,134,148,160,168,175,178,182,185,190,181,162,129,160,138,92,47,62,118,150,99,95,186,186,183,180,178,103,113,134,148,161,169,175,179,182,186,190,166,166,140,130,137,98,51,77,136,153,104,81,181,186,183,181,179,104,113,134,149,161,169,175,179,183,187,193,167,138,126,93,131,108,72,106,151,140,99,78,180,187,185,182,179,104,113,135,150,161,169,176,179,183,187,190,167,134,116,97,124,141,103,125,154,116,85,86,187,189,186,183,180,104,114,136,150,161,169,176,179,183,187,189,188,158,118,110,112,143,110,129,143,106,74,101,189,188,186,184,181,104,114,136,149,161,170,177,179,184,187,187,190,172,141,116,107,149,147,147,129,101,67,119,192,189,186,185,183,102,113,135,148,160,169,175,178,182,187,188,183,172,153,131,120,162,173,148,119,94,63,140,190,189,185,183,181,101,111,134,146,159,168,174,177,181,186,188,175,166,155,143,131,157,168,139,109,85,58,160,189,187,184,181,180,99,110,133,145,158,167,174,176,182,186,189,186,167,160,148,131,145,154,128,97,72,68,180,188,186,185,182,180,99,109,132,144,157,166,173,176,181,185,188,190,175,158,141,126,125,134,113,86,63,110,188,188,185,183,181,180,105,116,135,146,156,165,171,175,178,181,185,187,186,164,138,123,118,125,114,85,61,151,183,181,179,176,173,171,134,138,142,142,137,136,136,135,135,134,134,132,141,170,145,139,130,125,117,83,62,104,109,107,105,104,101,95,106,105,105,105,105,105,106,107,107,106,106,106,116,174,158,151,134,124,106,80,61,90,93,92,89,81,52,34
16,80,89,95,98,102,107,112,116,119,122,124,128,131,133,136,138,140,140,141,142,143,143,144,144,146,145,146,146,84,92,98,100,104,110,115,120,122,125,127,131,134,137,139,141,143,143,146,147,147,148,147,148,149,148,148,148,86,95,100,103,107,113,118,122,125,128,131,134,137,139,142,144,146,144,141,139,142,148,152,151,150,151,152,151,87,97,101,104,110,115,120,124,127,130,132,135,138,142,145,142,132,124,114,100,95,96,113,145,155,153,154,155,90,99,103,106,111,117,123,128,130,134,137,139,140,136,128,119,114,118,108,93,85,77,63,76,134,157,155,156,92,100,104,108,113,119,124,130,131,133,133,127,121,116,113,115,109,104,98,79,78,80,62,51,70,149,160,159,92,101,105,108,115,121,127,129,141,135,121,102,108,109,116,105,97,100,84,66,66,67,58,57,49,117,165,159,95,103,107,111,118,123,128,140,159,145,146,103,116,131,118,91,98,88,73,62,61,58,55,57,50,99,165,161,97,104,109,113,120,125,130,145,140,144,143,112,142,144,89,86,85,65,64,58,54,54,57,59,50,114,167,164,99,107,110,115,121,126,133,129,134,151,129,124,159,138,90,83,68,57,55,54,54,51,55,58,56,139,168,166,101,109,112,116,122,127,134,132,140,156,140,136,155,122,110,95,71,54,51,53,54,53,55,52,80,160,167,168,102,110,114,117,124,130,135,138,139,153,148,136,150,133,116,91,69,54,49,51,55,56,55,49,108,170,170,170,103,112,114,119,126,133,137,141,136,153,149,146,148,128,97,71,57,47,50,54,57,57,55,53,137,174,170,171,106,112,114,120,127,134,139,144,141,151,154,151,133,106,73,54,37,34,53,61,57,57,54,62,158,173,170,172,108,114,116,122,128,134,140,144,146,151,155,141,112,80,54,21,7,39,57,63,58,57,49,75,171,173,173,174,110,116,118,124,131,137,141,146,148,146,143,118,88,67,20,0,4,40,59,70,67,61,44,90,178,172,173,173,111,116,120,126,133,137,142,146,150,138,123,95,75,48,1,0,3,29,56,72,75,61,41,107,183,173,175,175,111,118,121,126,134,138,143,148,152,141,108,79,63,34,12,4,17,17,47,79,76,57,44,117,184,174,176,176,114,118,121,128,135,140,145,148,154,138,91,56,46,47,44,29,28,34,59,85,68,59,46,125,185,176,177,178,116,119,122,129,136,140,146,149,153,132,74,71,57,38,46,42,41,73,75,88,63,59,47,138,186,177,179,179,117,120,123,130,137,143,146,153,147,111,57,155,159,103,77,58,87,89,85,86,59,58,47,143,186,177,179,179,116,119,124,131,136,142,144,143,129,67,101,173,165,164,145,115,94,90,101,85,54,56,43,136,188,178,181,182,116,119,124,131,138,142,141,134,93,63,159,165,164,154,137,114,89,105,112,88,54,53,43,115,194,184,179,176,116,120,124,131,137,147,152,117,54,129,169,164,163,155,134,115,90,113,118,90,55,51,52,61,94,78,103,139,116,120,125,129,144,171,127,59,101,163,159,164,161,153,130,114,90,110,124,96,49,53,55,41,26,28,81,99,118,120,125,127,162,128,73,111,161,157,162,163,159,150,133,115,90,94,125,108,52,53,53,46,27,56,53,45,117,120,125,132,142,114,136,159,155,159,162,164,156,148,131,113,92,79,115,119,64,51,51,39,2,35,50,41,117,121,127,134,139,150,152,151,156,159,162,164,154,146,133,109,88,79,85,111,80,52,52,30,0,24,50,35
10,22,23,25,28,29,41,58,70,93,90,83,104,107,113,117,121,125,129,131,133,136,138,139,140,140,141,143,143,22,23,25,28,29,42,60,70,108,97,52,93,115,114,119,123,127,131,134,137,139,140,141,143,143,143,145,145,22,23,26,27,30,44,62,76,96,102,65,46,106,120,121,125,129,132,136,139,141,142,144,146,146,146,146,146,23,23,26,28,31,47,65,80,89,95,74,44,48,124,124,127,131,135,137,141,143,145,147,147,147,148,149,149,23,24,26,28,32,50,67,82,91,97,77,59,33,81,134,128,133,136,140,143,146,148,149,150,150,150,151,151,23,23,27,27,33,51,69,83,93,97,96,73,56,34,113,136,134,139,143,147,148,150,152,152,152,151,153,153,23,24,27,28,33,53,70,85,92,98,110,95,64,39,53,139,137,142,146,148,150,153,153,153,153,154,154,155,23,25,27,26,39,57,75,85,107,71,93,117,85,71,33,114,147,143,147,150,152,153,154,154,155,157,157,157,23,26,22,67,87,41,60,95,118,56,44,123,110,84,46,71,151,143,148,151,153,154,156,156,157,158,158,158,23,26,20,76,77,25,17,49,83,63,20,81,131,82,57,34,132,149,148,151,154,156,158,158,159,160,160,159,23,25,25,33,47,28,21,15,25,58,42,27,112,93,56,31,84,158,148,154,155,158,159,160,160,160,161,161,23,25,28,26,44,46,24,19,19,57,66,41,40,91,69,67,32,136,155,154,156,159,160,161,161,161,161,163,23,24,28,28,45,66,69,46,24,50,79,60,29,30,54,72,31,80,162,155,159,159,161,162,162,163,164,164,22,24,27,29,46,66,85,99,77,38,83,80,55,21,24,45,38,34,144,160,160,161,161,163,164,165,165,165,22,22,25,29,48,66,79,107,117,48,30,108,84,52,20,17,30,22,122,165,158,161,162,163,164,164,165,166,21,22,23,29,48,72,89,111,120,85,1,86,118,76,48,25,26,17,106,166,156,160,160,162,163,164,165,166,21,21,23,29,45,93,110,103,135,106,26,33,137,93,72,45,24,13,91,168,158,160,161,163,163,164,165,166,19,20,22,29,46,83,122,97,124,114,56,63,136,106,89,55,25,11,78,167,158,161,164,164,165,166,166,166,21,20,19,28,49,66,106,101,98,110,76,98,126,90,85,50,30,18,70,167,159,161,163,164,165,165,166,166,55,53,53,55,61,64,82,103,99,122,89,84,125,82,80,52,33,22,60,162,160,163,165,168,170,171,172,174,49,51,55,56,56,51,58,106,108,118,125,80,110,93,82,58,35,25,40,87,90,93,96,100,103,107,111,115,53,53,53,57,59,61,55,109,134,107,135,86,50,93,81,61,39,30,29,62,68,69,69,67,68,67,66,67,53,53,55,58,59,61,57,80,138,121,112,102,49,72,78,59,41,31,26,62,77,73,74,76,76,76,77,78,52,54,55,57,59,61,61,65,123,130,123,131,121,84,70,54,40,30,27,56,75,71,72,74,74,74,76,76,52,54,55,57,59,59,62,57,91,126,128,123,131,109,66,46,40,34,29,54,74,72,72,73,73,74,75,75,51,52,54,56,58,59,60,62,63,111,130,120,117,115,72,44,45,40,30,53,73,72,72,74,73,73,74,75,51,51,52,55,58,59,61,63,60,78,122,118,106,98,82,63,60,46,27,46,73,72,72,76,72,72,73,71,50,51,52,54,56,58,60,61,63,59,99,109,97,85,85,83,75,56,33,34,68,72,72,72,73,74,69,98
14,149,151,151,153,155,154,154,154,155,154,153,153,152,150,150,150,149,148,147,146,145,142,141,140,139,138,137,137,150,152,153,153,155,155,156,156,156,155,155,155,154,154,152,150,149,149,149,148,146,144,143,142,141,139,137,137,152,154,155,155,156,157,157,157,157,158,159,158,157,148,152,159,155,150,150,149,147,146,144,143,143,142,139,138,154,155,156,156,157,158,158,159,159,159,150,137,133,107,96,116,134,155,155,152,149,149,146,145,144,143,141,139,154,156,157,159,160,159,160,161,161,148,124,106,83,62,52,70,80,107,130,148,153,150,148,146,145,145,142,141,156,157,158,160,161,160,161,161,157,138,101,67,54,54,52,61,78,85,89,94,154,150,149,148,146,146,144,142,157,158,160,161,162,162,160,153,140,113,61,37,42,45,43,45,50,69,63,63,153,154,150,150,148,146,145,143,158,159,160,162,163,164,157,140,121,76,48,40,36,40,42,45,42,53,57,54,91,151,152,150,149,147,146,144,158,159,161,163,164,165,155,138,95,47,50,45,44,43,42,36,41,41,60,67,58,148,154,151,149,149,146,144,159,161,163,164,165,165,159,142,102,47,45,41,45,48,40,109,111,120,77,50,53,124,162,154,151,150,149,147,161,163,163,165,165,166,160,140,104,50,41,38,47,39,77,174,168,171,153,93,67,69,108,140,154,149,150,148,161,163,164,165,165,167,160,143,96,51,52,46,36,59,157,165,162,162,164,160,95,86,74,107,159,149,150,149,162,163,164,165,168,167,162,147,106,69,57,52,40,129,176,164,166,164,167,122,91,93,72,119,160,151,151,150,163,164,165,166,168,167,161,151,117,80,58,49,45,149,171,167,166,169,152,91,90,84,68,149,158,152,152,150,164,165,167,168,169,163,159,154,120,86,63,44,58,173,170,166,167,169,105,78,87,69,92,164,155,155,153,152,165,166,168,169,170,162,159,151,121,91,61,45,50,131,165,173,175,135,85,74,80,48,124,165,155,155,153,152,164,167,168,169,170,163,159,151,121,90,64,51,49,54,74,125,141,84,88,85,57,81,163,159,158,157,155,153,165,167,169,170,170,160,163,156,119,93,69,52,55,61,64,67,69,71,83,69,72,160,162,160,157,157,156,154,167,169,169,171,169,157,166,153,117,91,71,50,52,60,68,74,70,68,78,62,148,167,160,160,158,156,155,154,167,169,169,171,168,157,166,148,113,92,76,52,52,61,66,72,75,68,51,118,174,162,162,161,159,157,155,155,167,169,170,173,167,159,162,144,112,98,77,53,53,65,71,73,73,57,74,168,166,164,163,161,160,158,158,155,168,169,170,174,164,160,156,134,111,96,76,52,54,69,74,74,65,53,157,170,165,165,164,162,161,158,158,157,168,169,169,174,164,157,147,130,106,91,74,52,54,69,71,69,45,99,179,166,168,165,164,162,162,160,158,156,167,170,171,173,163,154,145,129,103,88,72,53,55,66,68,55,53,164,171,167,168,166,163,163,162,160,158,156,168,170,171,172,165,149,139,123,101,81,67,53,54,62,60,38,134,179,168,169,168,167,166,163,162,160,159,157,168,170,171,171,164,146,140,121,98,77,63,50,52,44,40,124,181,170,172,170,169,167,165,164,163,161,159,158,167,170,171,170,163,146,135,120,97,75,57,46,42,67,143,180,173,173,172,171,169,167,166,164,163,162,160,158,166,170,168,170,155,137,131,119,97,68,53,36,93,179,179,170,171,171,170,169,167,165,165,163,162,161,158,157
22,175,177,180,183,188,190,192,195,197,198,197,203,203,203,201,198,206,203,206,208,205,206,206,206,206,206,205,204,177,180,183,186,188,192,195,198,202,203,149,188,210,206,215,146,189,213,196,196,212,210,208,209,209,208,208,207,179,181,185,188,191,196,199,199,206,197,123,178,215,212,224,129,178,225,190,137,212,212,211,211,212,213,211,211,181,184,188,191,195,199,202,201,212,194,108,182,216,220,221,137,188,228,195,124,208,217,213,214,215,216,215,213,184,189,190,193,197,201,204,204,217,196,111,184,219,225,213,140,197,231,193,126,207,219,216,217,218,218,218,216,186,189,192,195,199,203,208,206,219,212,115,182,221,227,199,137,203,231,198,136,211,222,219,219,220,219,218,218,188,191,195,198,202,205,211,210,222,222,120,173,225,227,183,136,205,232,191,138,219,223,222,222,221,220,221,222,190,193,197,201,204,209,213,212,226,224,119,172,234,213,166,139,208,233,191,139,222,226,224,225,225,224,224,224,192,196,199,202,206,210,214,214,222,238,147,160,224,196,164,136,216,236,189,142,228,226,225,226,227,226,227,226,194,198,201,203,208,212,214,216,221,232,187,158,141,167,179,140,225,238,180,150,236,225,227,228,228,227,228,228,195,199,202,206,210,214,217,218,223,234,208,186,168,155,158,156,234,231,168,162,240,227,230,231,231,230,230,229,196,200,203,208,211,216,220,218,232,247,221,208,223,203,138,149,226,217,156,179,240,230,232,231,232,232,232,232,199,202,205,209,212,217,220,224,223,196,218,147,211,209,158,108,166,177,129,196,241,232,233,233,233,233,233,233,201,204,209,211,214,219,221,226,229,198,199,119,115,210,193,137,108,133,113,211,241,233,233,235,234,234,234,234,202,205,209,212,216,220,221,232,234,182,184,158,75,147,225,177,121,103,115,228,238,235,235,235,236,237,235,235,203,207,209,214,218,222,222,237,233,188,161,141,109,127,241,210,155,115,114,234,240,238,238,239,239,238,238,237,204,208,211,214,217,223,223,244,240,188,144,134,121,209,243,207,168,136,117,236,241,238,239,241,241,240,240,239,206,209,211,215,218,222,225,246,229,184,156,159,168,250,234,191,159,129,119,240,241,239,239,241,241,241,241,240,207,210,212,216,219,224,226,240,226,182,179,153,198,248,216,181,143,111,144,250,240,242,241,241,242,243,243,242,207,211,215,218,221,226,227,237,221,179,178,156,217,248,199,166,138,106,163,255,240,244,243,244,244,245,244,242,205,210,214,217,221,225,229,234,220,180,195,165,226,245,190,155,128,102,172,255,242,245,246,246,246,245,245,244,206,209,213,216,221,224,228,227,220,189,204,169,215,225,182,150,125,98,188,255,243,246,246,246,247,246,245,245,205,209,213,217,220,223,228,226,220,195,202,170,205,207,168,144,121,102,207,249,243,245,246,247,247,246,245,245,207,211,215,219,221,226,229,230,226,196,184,154,185,185,152,143,119,114,231,247,245,246,246,247,247,246,246,246,208,212,217,219,223,227,227,226,224,192,163,153,188,167,153,147,108,161,252,244,246,247,247,247,247,246,246,246,207,211,215,219,224,227,223,230,234,203,181,173,195,154,164,129,110,225,250,245,246,246,247,248,247,247,246,246,209,213,219,222,226,230,221,228,233,211,200,180,187,151,159,102,169,254,243,244,246,247,248,248,248,247,247,247,181,187,194,200,205,207,208,226,210,198,204,177,178,153,134,104,210,250,244,245,246,247,247,247,248,248,248,246
14,202,204,203,204,205,206,206,207,207,206,206,206,206,207,207,206,208,207,208,206,207,206,206,206,205,204,203,205,203,204,204,206,206,207,207,207,209,207,207,207,215,206,204,210,209,207,208,208,208,208,208,208,207,206,206,205,204,205,206,207,207,209,210,211,209,208,219,220,213,171,171,219,209,210,210,210,209,209,209,209,210,208,207,207,205,206,208,208,209,209,210,209,210,234,225,194,165,150,140,187,207,206,210,210,211,211,210,209,209,209,208,207,206,207,209,210,211,211,207,215,240,236,179,143,140,135,145,173,195,165,174,215,211,212,211,211,210,210,210,209,207,208,210,211,211,209,216,249,235,197,153,132,145,129,137,160,172,142,178,218,211,214,214,212,212,212,211,210,209,210,212,212,212,207,241,250,197,150,131,132,136,125,129,133,149,138,185,217,216,215,216,215,214,213,212,211,210,212,212,213,213,210,250,245,177,125,113,116,127,142,152,134,160,186,179,168,201,219,215,217,216,214,213,213,211,212,212,215,213,221,254,236,175,133,122,124,118,130,135,120,130,168,174,139,200,222,215,218,217,215,215,214,211,212,214,216,212,230,254,218,155,125,130,140,117,125,132,139,141,146,138,135,199,215,220,218,217,216,216,216,215,215,215,218,212,240,254,223,168,128,130,141,127,136,147,154,147,135,156,162,164,157,212,222,218,219,218,217,215,216,218,218,215,249,254,232,186,149,130,126,137,141,120,132,140,168,169,160,156,168,181,215,222,220,219,218,216,218,219,216,224,254,253,230,184,154,137,123,146,139,161,198,214,228,221,207,186,206,171,210,225,221,221,220,216,217,219,217,230,254,254,231,184,151,141,129,140,130,210,233,223,221,225,216,193,202,170,217,224,221,221,220,217,218,222,218,233,254,254,236,196,158,136,135,126,160,230,221,224,223,228,203,189,198,167,220,224,222,222,221,218,219,222,218,235,254,254,239,201,166,136,130,131,217,228,225,225,224,230,200,189,200,159,209,228,223,223,223,218,221,224,219,237,254,254,242,205,169,142,120,153,233,223,227,227,226,234,191,175,194,163,182,233,223,225,224,220,222,225,219,238,254,254,241,209,174,148,115,186,242,226,230,226,231,209,183,191,190,166,173,233,224,226,226,222,224,224,220,239,254,254,243,211,173,155,120,155,211,222,221,232,218,170,186,196,185,157,206,232,226,226,226,222,223,225,222,242,254,254,244,208,177,161,136,117,132,148,152,176,172,171,186,189,168,186,235,227,227,227,227,223,224,227,223,246,254,254,242,207,188,173,145,128,138,141,155,163,164,172,183,174,167,227,232,228,229,229,228,224,225,228,224,250,254,254,241,211,201,182,157,132,146,157,165,170,173,166,170,157,211,236,230,231,229,229,228,225,228,228,225,250,254,254,244,222,208,183,160,143,149,162,166,169,171,168,147,182,239,230,233,231,231,231,230,226,228,229,229,252,254,254,247,232,211,184,162,149,146,162,165,165,168,158,159,229,234,233,233,232,231,232,233,228,229,229,232,254,254,254,250,236,210,180,158,150,145,158,163,161,161,156,223,236,232,234,234,233,232,232,233,227,228,228,233,254,253,254,249,233,200,161,145,144,144,157,157,164,147,202,242,232,235,234,234,234,233,233,233,230,233,233,246,254,254,254,243,217,172,134,135,135,142,149,156,152,172,239,234,236,235,236,235,234,234,234,234,218,205,189,193,191,176,171,154,141,126,113,111,120,137,144,145,162,231,237,236,237,236,237,237,235,235,235,234
8,92,101,107,113,116,121,124,125,128,130,133,135,137,139,143,143,146,148,149,149,149,150,152,155,154,155,155,155,94,102,107,113,117,122,126,127,128,137,122,126,140,141,143,145,147,148,149,150,151,152,155,156,155,155,155,155,96,103,109,114,120,124,129,127,136,162,102,89,147,141,143,146,149,149,151,151,154,156,154,155,156,156,156,156,96,105,111,117,120,124,129,123,149,153,82,84,149,142,144,148,150,150,151,154,157,154,159,158,157,157,157,158,99,104,113,119,122,125,129,124,166,129,65,105,150,143,145,148,152,153,153,155,156,157,136,153,159,157,159,159,102,106,114,120,123,128,128,134,170,109,62,122,149,146,149,149,151,154,157,154,167,157,72,122,168,158,160,161,104,107,115,119,122,129,127,148,169,109,68,139,148,147,149,152,158,155,157,155,179,147,56,117,171,161,163,162,103,109,115,120,126,131,125,159,161,104,74,145,142,149,152,142,133,153,158,141,177,151,76,110,174,161,164,163,104,111,117,122,127,132,124,171,154,90,87,146,113,122,160,138,100,101,153,123,175,157,118,84,159,167,166,166,105,113,122,122,125,132,127,182,158,106,155,152,117,102,157,141,95,89,143,113,145,172,130,76,113,175,164,168,107,114,120,122,128,133,133,190,155,135,196,157,110,106,153,126,78,92,134,90,150,183,132,77,92,179,166,170,107,114,120,125,130,130,143,182,142,114,192,170,98,113,152,110,62,90,121,82,177,177,133,73,107,181,167,170,109,115,121,123,128,129,146,175,156,126,171,162,79,128,147,96,64,68,110,83,179,164,123,64,113,182,169,172,108,116,123,125,132,128,155,179,169,161,171,157,103,125,159,114,60,69,107,117,171,141,107,60,126,182,171,174,109,115,123,125,130,130,178,170,163,145,159,171,127,139,179,127,58,92,132,157,163,128,94,59,142,180,171,174,108,116,123,129,128,140,178,137,133,122,133,145,102,137,134,90,122,161,161,136,141,126,93,57,146,181,172,174,110,116,123,128,126,160,176,139,125,113,94,91,85,89,124,162,179,161,154,123,109,111,91,52,151,181,173,176,111,118,123,129,125,186,175,150,133,107,93,88,94,150,203,202,170,154,139,108,89,90,75,62,176,178,176,178,110,120,124,128,139,200,174,155,131,109,95,74,132,204,202,193,170,140,122,95,79,82,55,105,187,174,177,178,112,120,127,123,161,205,170,154,134,121,103,110,188,197,195,182,155,127,107,85,70,73,51,156,183,177,179,180,113,120,130,119,177,207,169,152,142,133,125,166,191,190,183,169,141,115,97,75,67,64,57,172,183,177,180,182,114,120,130,120,192,203,172,162,155,147,166,188,196,178,161,152,127,104,89,70,67,56,78,183,179,179,181,181,115,121,130,122,200,205,174,163,151,154,185,195,191,162,147,138,116,96,79,67,65,47,132,187,179,183,182,181,116,123,131,123,191,208,182,166,152,155,181,188,168,150,136,126,106,85,71,65,50,95,182,178,181,181,182,183,114,121,130,123,183,208,185,172,155,151,169,172,161,148,127,121,99,78,68,55,80,175,180,180,181,182,183,183,115,123,130,126,170,197,167,162,151,151,159,167,165,150,130,119,98,74,55,57,160,184,179,181,181,183,183,184,115,123,131,127,160,179,167,160,162,163,148,155,157,141,122,110,88,61,40,131,183,177,180,181,182,182,184,184,116,124,131,128,156,185,179,170,174,165,145,146,153,137,114,100,79,41,81,179,177,180,181,182,183,184,184,184
4,173,174,176,177,178,179,178,178,178,178,179,179,179,181,183,180,179,182,182,179,179,179,179,178,178,178,177,176,175,177,177,178,180,181,179,180,180,180,182,182,180,173,168,178,184,167,162,184,184,179,182,182,179,178,179,179,178,179,178,180,182,183,182,181,183,182,178,180,190,178,147,135,155,161,136,132,175,187,183,184,182,181,181,181,179,179,180,181,183,183,184,185,183,179,166,150,146,187,192,146,91,112,159,112,80,180,187,183,185,184,184,183,181,181,182,184,184,185,186,186,191,198,195,159,106,102,191,146,100,45,105,123,53,148,196,184,185,186,186,186,183,185,185,186,185,181,183,152,135,173,174,181,122,58,145,158,96,48,63,117,62,134,200,186,187,187,187,185,186,187,187,187,186,191,193,148,80,76,121,188,153,67,77,170,141,67,41,143,84,128,202,189,189,189,188,187,188,187,187,187,191,172,163,161,102,51,52,175,190,98,47,173,170,93,42,136,111,140,201,190,191,190,190,190,187,188,189,188,188,178,119,144,150,92,23,132,192,106,52,135,171,105,44,88,93,151,203,191,193,192,193,192,188,190,191,191,191,183,112,103,155,110,56,82,108,88,67,76,113,85,50,68,63,81,200,193,195,194,192,192,191,191,191,191,194,189,169,143,121,89,60,76,77,82,92,92,84,71,64,101,105,71,147,206,192,194,194,193,191,192,193,193,196,198,175,147,116,89,76,86,86,87,109,101,103,71,104,151,142,122,93,192,199,196,196,195,192,193,194,194,197,199,166,137,116,96,98,98,103,122,122,140,157,162,121,148,156,134,73,130,211,195,197,195,193,194,195,195,198,195,159,122,107,89,98,114,126,150,167,176,193,193,179,160,138,101,68,72,197,199,197,198,194,196,197,196,197,201,175,141,115,102,113,122,129,188,178,180,190,184,175,157,128,91,67,59,182,204,197,198,195,198,198,198,196,205,190,153,122,105,109,121,149,194,177,185,185,184,169,151,129,93,63,79,203,200,199,199,196,198,199,200,198,199,197,167,139,111,110,130,150,195,186,195,197,184,169,152,123,90,52,133,213,199,202,201,197,198,199,199,200,198,202,183,150,118,121,143,142,191,196,203,203,192,177,145,109,84,57,185,211,204,203,201,197,199,199,200,200,198,201,194,159,128,132,156,146,186,199,207,209,209,178,134,102,67,91,213,204,205,203,202,198,199,200,201,202,198,194,201,172,132,139,154,157,188,199,212,214,204,163,125,102,52,145,217,204,206,204,205,199,201,202,202,203,196,185,192,181,141,141,152,158,194,198,209,207,177,141,115,90,60,193,210,206,206,206,204,199,201,203,202,205,197,179,192,188,160,142,146,157,187,198,193,183,154,127,106,65,100,218,205,206,206,205,205,199,201,203,204,205,206,181,185,189,174,156,151,159,176,191,180,158,139,111,86,60,178,216,207,209,208,207,207,198,199,200,201,202,207,194,172,179,176,163,157,155,155,163,157,135,112,87,55,127,219,205,207,210,208,207,207,199,200,200,201,202,205,202,173,178,172,162,159,147,139,146,145,123,92,64,65,202,209,207,207,208,207,206,205,200,201,202,202,202,205,202,176,177,164,155,153,140,126,131,133,104,75,52,109,220,205,208,208,208,207,207,207,200,202,204,204,204,205,203,179,172,142,135,144,134,130,129,117,88,74,47,148,218,207,210,208,207,208,208,206,201,202,204,205,205,205,205,181,181,152,149,161,151,142,129,112,93,77,50,173,213,208,209,209,208,209,208,206
13,168,171,174,176,177,180,182,184,186,189,188,187,188,188,188,188,188,188,189,188,186,185,186,184,184,184,182,182,169,171,175,178,180,182,183,187,187,187,190,190,189,190,189,190,190,189,190,189,187,187,188,187,184,183,184,184,171,174,178,180,182,184,186,189,190,189,191,191,190,191,192,193,190,189,191,190,188,189,188,188,187,186,186,186,173,176,180,182,183,185,189,191,191,191,192,194,194,193,196,195,193,192,189,190,195,192,189,188,189,190,189,187,174,177,181,183,185,187,189,191,192,193,194,195,196,197,191,193,190,195,208,173,128,177,196,194,194,189,190,190,175,178,182,185,187,188,190,191,194,195,196,196,194,182,210,211,148,151,233,177,90,100,192,161,180,195,191,191,178,181,184,188,187,189,192,193,196,197,194,205,202,136,162,229,158,121,222,174,100,47,156,124,87,194,194,193,179,182,184,188,189,190,192,195,197,196,197,240,216,163,97,210,171,114,217,161,91,55,161,140,53,161,203,192,181,183,185,188,191,194,195,197,202,195,220,242,229,179,95,185,181,90,196,173,69,103,199,144,41,133,209,189,181,184,188,189,192,196,198,199,198,200,237,194,221,182,85,151,185,80,200,199,86,78,123,77,30,136,210,192,182,186,189,192,193,195,197,199,194,217,238,200,217,160,74,147,170,73,100,147,69,49,111,104,45,146,209,195,184,188,190,191,194,197,198,195,211,243,215,179,206,134,76,179,147,92,0,2,7,111,185,183,86,159,208,197,186,189,190,195,197,198,201,194,225,247,201,152,177,136,80,186,155,90,0,71,114,164,182,180,107,159,210,197,188,190,191,196,198,198,203,198,235,240,204,160,132,143,61,199,216,87,94,222,205,170,135,123,89,119,213,198,188,190,193,197,200,201,205,202,249,237,212,192,152,107,58,157,176,142,221,216,183,158,125,92,74,80,206,203,190,192,195,198,201,204,202,207,255,236,214,194,178,130,123,126,186,226,225,200,173,145,112,86,67,83,210,202,192,195,197,199,204,205,203,211,255,236,213,200,183,149,131,153,233,234,216,185,154,132,100,84,53,143,216,202,192,196,198,201,205,207,206,208,252,240,216,203,188,157,139,177,231,233,210,176,141,116,90,69,66,202,209,206,193,197,200,203,205,207,207,209,251,242,222,205,187,162,158,200,217,211,191,164,135,105,84,44,106,223,206,210,194,199,201,204,206,208,208,208,251,241,218,204,181,162,182,203,184,183,167,146,123,95,57,63,189,214,207,208,196,199,204,206,207,210,212,207,252,238,226,204,178,173,196,194,168,165,143,122,103,61,80,193,216,209,210,210,198,200,204,207,209,211,212,212,255,242,236,207,189,188,204,183,161,144,122,110,67,80,204,217,211,213,213,213,198,200,204,208,211,212,204,233,255,247,241,205,197,203,194,166,145,116,109,76,72,198,221,214,213,214,214,213,199,200,204,206,211,213,205,250,250,246,237,203,200,196,180,148,120,102,84,62,176,220,216,217,216,215,215,214,199,202,205,208,212,211,212,250,228,224,218,194,190,192,161,125,108,95,57,151,226,217,218,218,216,216,215,215,200,203,206,210,214,206,217,247,218,201,197,178,188,187,136,119,107,67,93,215,221,220,217,218,216,215,214,215,201,204,208,210,216,197,232,246,206,196,191,174,179,158,122,114,88,57,157,226,222,222,218,218,218,217,216,215,202,205,208,212,213,199,252,239,189,186,192,173,160,139,114,101,61,79,202,224,222,222,221,220,219,217,217,215
13,205,205,206,206,206,207,207,207,207,206,207,208,208,208,209,210,208,207,208,208,207,208,207,207,207,205,204,205,206,206,206,206,207,207,208,207,206,208,210,208,206,207,204,204,213,212,210,209,207,207,209,208,207,206,205,205,206,207,207,207,208,208,207,207,208,209,207,209,220,222,205,173,168,196,194,209,209,209,210,210,208,208,206,206,206,207,208,207,208,208,208,208,209,208,207,227,237,235,222,180,139,118,146,150,211,210,209,209,208,208,206,207,207,208,208,208,208,208,209,209,207,209,209,199,202,225,227,190,147,105,130,109,181,217,207,210,209,209,209,209,207,207,208,208,209,209,208,210,210,180,197,197,176,194,219,202,158,111,143,149,163,220,209,211,210,210,209,209,207,207,209,209,210,210,206,224,225,172,174,199,202,209,202,206,182,112,143,142,155,220,211,211,211,211,209,209,208,208,209,210,210,209,208,239,226,195,172,144,180,204,197,170,138,102,95,146,201,214,213,212,211,212,211,211,207,209,209,210,208,219,182,165,209,217,197,140,89,160,200,175,153,136,113,132,222,212,213,212,212,212,212,211,207,208,208,203,221,227,167,123,144,226,208,170,89,82,132,160,184,196,172,119,161,225,211,213,212,211,211,210,207,207,206,221,231,207,161,142,106,202,220,174,135,81,81,101,206,217,203,170,117,186,220,210,211,211,211,209,208,206,216,231,199,196,173,163,102,156,228,184,167,103,90,84,161,229,216,185,145,124,210,212,210,212,211,210,208,209,223,201,167,190,185,169,122,92,208,210,186,141,79,112,176,218,218,186,164,122,174,221,210,211,212,212,207,213,228,211,177,178,198,167,157,101,111,221,200,175,123,142,230,212,201,177,164,124,170,223,211,213,213,213,206,214,223,208,190,164,181,188,185,150,73,132,213,202,191,159,220,206,186,155,139,113,186,221,213,212,213,212,209,213,225,222,206,185,157,176,192,171,152,83,179,204,191,204,210,193,177,149,119,111,206,216,213,213,213,211,201,202,226,231,219,197,183,171,175,174,188,131,203,222,216,218,204,187,168,144,114,132,222,217,217,216,215,214,135,131,216,234,224,207,192,189,190,173,148,168,222,232,231,210,198,184,161,134,110,148,205,200,204,203,206,207,121,104,187,237,226,215,202,192,197,197,170,164,211,231,227,211,186,171,154,126,116,121,126,129,128,129,129,130,125,115,148,231,221,221,216,204,197,195,186,154,179,226,218,205,184,158,140,122,115,122,116,110,111,121,147,171,123,123,119,206,215,216,218,215,204,195,184,169,155,206,208,192,175,150,131,119,112,124,140,158,184,205,215,208,122,126,116,153,220,210,218,222,208,196,182,170,157,175,196,178,156,143,129,112,117,179,213,220,216,210,213,207,123,123,125,114,185,217,214,214,200,189,177,165,156,156,172,171,157,140,125,100,167,241,220,208,202,189,190,199,124,123,124,118,128,215,211,197,186,179,171,162,145,140,159,175,164,132,114,104,216,227,214,203,181,164,160,174,123,123,121,124,111,188,220,189,171,173,168,159,143,128,162,185,153,123,99,147,243,220,219,204,163,138,156,166,123,124,121,126,114,158,223,194,185,185,172,156,143,128,166,184,134,118,96,204,234,215,230,214,167,125,143,166,123,125,120,125,115,144,225,205,197,197,179,161,153,129,164,173,130,109,115,231,214,210,230,230,185,130,127,158,124,125,121,124,115,143,218,212,207,201,182,171,162,125,157,168,131,99,141,234,212,207,222,237,202,139,117,139
7,130,133,138,141,143,144,145,145,145,146,147,148,147,147,147,147,146,146,146,145,145,143,147,130,148,160,155,161,135,139,142,144,147,147,148,149,150,150,151,151,150,150,148,147,147,147,147,146,145,144,143,143,154,112,164,160,141,144,146,149,151,152,153,154,154,154,155,154,153,153,152,152,152,150,149,148,147,147,144,148,139,119,168,160,146,148,151,155,156,156,158,158,158,158,158,158,158,157,156,156,154,154,153,152,151,149,149,145,152,168,155,160,150,153,157,159,161,162,163,163,164,162,162,162,161,161,160,159,158,158,157,155,155,152,150,149,150,137,117,161,153,158,162,164,165,167,167,167,167,166,167,168,166,166,165,165,164,163,162,160,159,157,154,152,153,143,138,163,157,162,165,168,169,171,171,171,171,171,172,171,171,170,169,168,168,167,166,165,163,161,158,156,155,152,152,165,161,165,169,171,173,174,175,175,174,174,174,174,174,173,172,171,171,171,169,168,166,164,163,161,159,157,159,173,166,169,172,174,177,178,180,182,184,182,181,181,180,180,180,179,178,175,173,171,169,168,166,165,162,159,160,175,170,173,176,180,182,181,175,157,142,155,161,164,164,161,159,156,165,171,176,177,177,174,170,167,166,161,162,177,173,177,181,181,179,177,168,135,88,105,131,145,138,138,137,128,120,127,134,133,148,157,168,173,168,171,170,177,177,180,178,176,176,171,164,135,108,109,114,125,124,128,130,122,103,115,119,114,123,126,151,150,177,139,141,182,175,175,175,180,179,174,165,132,99,111,114,121,117,119,126,119,104,100,104,113,118,123,145,128,159,51,105,196,179,180,180,184,182,176,159,128,83,92,108,124,132,126,129,116,116,109,117,127,110,112,114,127,134,69,64,135,184,181,180,185,179,172,159,115,87,100,105,114,113,114,115,115,109,102,113,125,115,116,116,133,148,123,63,50,183,184,182,182,183,176,174,136,80,78,75,65,96,113,103,100,99,105,111,117,109,106,104,104,120,98,64,55,187,182,179,185,177,169,182,145,77,70,75,63,90,147,191,189,194,192,171,118,64,66,65,62,63,57,56,57,180,174,173,175,162,163,164,126,85,77,80,81,70,57,165,180,124,98,65,45,45,39,39,52,50,51,56,54,174,174,168,163,158,156,155,125,80,69,81,91,88,74,65,50,36,41,54,53,44,47,43,43,46,44,53,55,169,166,160,157,156,157,167,136,77,52,40,72,81,69,67,53,47,37,49,59,45,36,45,44,42,49,44,24,157,153,158,158,157,155,154,131,77,58,49,55,75,84,88,54,45,45,33,51,55,39,31,40,43,54,22,1,149,143,143,140,136,134,121,98,79,69,63,51,31,51,58,30,32,54,38,34,49,54,37,28,34,34,30,23,141,128,114,108,105,102,100,83,74,62,38,59,26,19,42,45,25,43,49,34,37,47,49,31,30,29,31,29,127,122,102,98,90,107,112,61,38,49,17,49,46,14,32,50,36,28,48,45,35,36,47,41,25,29,29,29,100,103,108,117,151,175,73,57,37,43,25,29,54,21,17,44,47,26,37,48,38,34,33,43,28,25,29,27,94,187,194,207,210,100,45,62,47,27,34,18,45,38,8,34,50,34,31,40,42,34,28,34,37,19,25,28,51,149,139,150,112,47,56,44,35,38,27,16,27,48,11,19,45,42,34,35,36,34,27,26,35,25,18,25,34,106,104,91,65,50,46,45,21,39,32,9,15,48,24,7,36,46,35,36,33,32,26,25,28,31,17,19
7,232,232,233,232,231,232,232,233,232,231,229,229,225,194,226,222,206,190,182,176,158,144,133,96,77,42,87,201,234,235,235,235,234,234,234,233,232,234,232,231,230,218,223,228,208,184,155,147,127,101,85,63,59,36,101,208,236,236,237,237,237,238,237,237,237,237,235,234,231,219,227,228,215,197,154,123,91,69,56,48,44,47,103,211,239,239,239,240,241,240,241,241,241,239,235,233,241,226,223,226,219,214,209,194,163,119,78,55,61,54,103,212,239,240,239,239,240,240,242,241,240,239,238,242,199,204,230,224,217,218,222,214,217,168,100,75,73,59,106,214,241,241,241,240,241,241,242,242,242,241,244,233,145,166,241,230,220,221,225,211,216,169,78,82,80,70,99,215,243,242,242,243,243,242,243,243,242,239,250,204,165,237,206,222,223,212,225,215,208,148,82,86,88,85,60,119,246,244,245,244,245,246,246,247,247,247,247,202,244,255,217,159,208,209,211,205,187,134,92,90,93,88,49,64,248,247,248,248,248,252,252,244,234,223,224,255,255,255,255,214,164,191,205,198,181,147,108,97,99,88,44,63,247,248,250,252,249,237,219,202,191,174,130,125,157,187,200,190,160,144,165,181,178,154,116,105,104,85,66,161,253,250,239,227,209,194,192,188,185,173,123,90,110,132,135,130,139,139,118,120,138,132,120,116,102,78,103,203,220,206,195,190,190,195,192,185,182,158,118,108,109,118,126,131,135,137,119,102,118,106,115,114,108,86,141,151,195,198,202,200,197,200,199,202,191,168,124,102,112,122,127,125,132,128,111,103,109,109,119,117,152,125,185,112,206,203,204,199,201,207,208,203,195,177,121,91,110,126,140,134,134,130,121,114,106,123,113,112,133,127,121,46,202,203,207,208,205,200,200,193,186,152,104,105,116,120,124,125,126,124,123,111,111,130,118,114,108,126,138,108,213,212,206,206,201,202,201,194,189,151,93,91,90,84,89,94,103,107,100,109,103,111,111,104,103,112,133,117,212,211,205,203,204,207,194,190,205,176,91,75,77,71,108,122,106,161,191,142,144,94,92,110,101,95,84,82,199,202,205,199,198,196,186,195,200,158,96,82,86,82,81,96,109,136,149,121,105,117,123,126,63,76,102,71,190,189,197,194,188,185,183,185,180,134,89,91,91,89,83,79,189,200,126,99,97,131,194,78,19,35,116,130,184,183,183,187,185,182,181,183,183,125,80,67,86,98,82,113,172,95,122,98,95,136,129,24,78,63,104,171,181,183,179,184,184,181,182,182,183,125,75,59,61,82,75,87,106,81,89,86,91,103,96,108,114,101,119,168,183,174,163,166,164,163,166,164,149,111,76,66,77,91,86,83,147,91,151,130,111,96,143,97,74,78,118,161,162,164,149,135,129,128,127,119,94,84,83,133,127,103,120,95,123,125,166,85,71,55,141,111,85,97,84,123,138,144,129,113,103,109,110,108,140,203,204,208,165,130,122,116,78,78,141,66,89,50,81,134,81,103,74,88,126,128,145,156,164,172,214,186,197,207,211,172,192,222,221,121,92,75,107,110,79,66,136,87,82,105,72,86,180,127,240,255,242,204,243,137,200,175,202,216,206,202,228,167,71,137,92,90,64,128,232,125,81,105,83,80,183,137,203,238,241,221,221,115,184,150,190,209,203,204,207,194,137,192,183,119,38,158,212,142,133,186,116,75,147,156,222,243,251,253,219,166,110,132,192,199,190,164,178,188,199,178,200,149,50,150,181,134,175,208,163,89
22,106,110,117,138,156,169,173,178,187,195,200,204,209,212,216,217,219,221,221,219,218,217,217,214,212,212,210,209,107,111,119,140,158,170,174,179,190,195,201,211,211,214,219,219,223,213,216,224,220,221,219,221,218,215,212,212,108,111,121,143,160,172,177,183,190,209,214,172,216,217,221,220,242,187,152,231,222,221,224,202,214,221,214,213,109,112,123,146,162,175,180,188,188,232,237,129,209,223,223,224,255,185,130,232,225,229,234,146,165,231,218,216,109,113,124,148,163,176,182,189,191,229,250,136,195,229,222,229,250,172,144,240,224,242,231,134,172,233,220,219,110,113,125,150,166,177,183,191,195,220,255,150,178,235,225,233,242,164,163,242,229,245,208,126,208,230,222,221,109,112,127,150,166,179,185,193,199,216,255,185,160,236,229,230,218,146,175,242,246,255,178,140,237,225,225,223,110,114,129,151,167,181,186,194,202,212,255,197,146,228,233,234,220,133,185,245,253,237,153,182,240,227,228,225,110,115,130,152,169,184,188,194,205,211,255,209,134,209,239,232,225,135,202,255,253,193,129,219,236,231,230,227,109,114,131,155,171,185,190,196,208,211,248,245,160,184,246,218,200,115,233,255,247,166,141,243,233,232,231,230,111,114,131,155,172,187,193,198,208,215,234,253,167,149,231,187,184,148,255,255,228,134,189,249,236,234,233,231,110,115,132,156,175,188,192,200,211,220,226,249,157,105,176,194,221,252,255,234,178,122,234,243,238,237,235,232,110,115,134,157,176,188,193,202,213,221,221,246,183,139,202,210,221,243,238,218,127,174,255,238,240,239,237,234,111,115,136,159,177,190,194,204,211,237,223,175,184,154,188,203,230,222,234,185,114,228,253,243,241,240,240,237,110,116,136,159,179,192,195,205,213,255,214,204,183,193,151,128,190,209,195,136,117,241,250,246,245,243,241,239,108,114,136,159,181,192,195,207,214,255,235,218,220,206,154,110,101,155,153,116,126,255,248,247,247,246,243,241,108,114,138,162,181,193,198,205,223,255,245,188,162,181,187,169,125,91,96,99,126,255,249,249,249,248,244,241,110,116,139,163,183,194,198,210,223,255,255,171,99,111,186,191,166,129,108,87,97,249,255,250,249,247,246,244,108,115,139,162,182,193,198,209,218,255,255,201,182,95,239,219,183,154,131,75,77,241,255,251,248,248,248,246,105,111,138,162,181,193,198,209,214,255,255,216,188,150,255,244,197,161,135,70,92,255,254,250,248,248,249,248,104,110,137,163,183,193,197,211,213,255,255,218,189,229,255,220,198,147,123,64,124,255,251,252,249,249,249,247,102,109,136,162,184,194,198,210,215,252,255,245,200,255,254,196,204,169,115,58,151,255,250,254,251,248,248,246,94,101,131,159,182,194,199,211,221,242,255,249,201,244,245,203,191,173,110,53,200,255,255,255,255,252,251,250,131,135,146,160,173,183,189,196,207,203,253,251,204,199,222,183,162,137,82,70,221,238,231,231,230,229,229,228,142,142,137,129,134,137,136,137,146,97,136,250,177,145,164,147,120,97,73,94,132,127,125,125,125,123,127,124,139,139,141,141,142,140,141,143,142,88,45,131,151,144,155,166,138,102,63,95,139,129,129,129,128,128,103,69,142,142,141,142,142,142,142,148,116,62,69,47,101,154,159,165,126,73,16,66,144,130,130,132,107,74,46,36,142,142,141,141,141,141,145,142,80,71,69,65,51,76,109,94,48,18,4,91,143,128,132,107,57,50,38,26
23,153,156,160,163,166,169,171,173,174,175,175,175,175,175,175,173,173,173,171,170,169,168,168,168,166,169,180,190,156,160,164,167,170,174,176,177,179,179,180,179,179,179,180,178,178,177,174,173,172,172,171,170,169,169,157,150,160,164,168,171,175,179,181,182,184,185,185,185,184,183,184,183,178,178,180,177,176,176,176,174,173,172,160,114,164,168,173,176,179,183,186,188,189,190,190,192,192,201,213,211,185,158,170,179,181,180,180,177,176,176,174,143,167,171,176,180,183,187,190,192,194,195,199,220,220,224,228,213,197,182,174,169,169,185,184,182,180,179,178,174,170,174,179,182,186,190,194,196,198,199,211,231,207,180,172,142,152,166,160,138,147,188,188,186,184,183,182,180,173,177,181,185,189,194,197,200,201,202,224,222,197,117,128,160,180,165,148,150,182,194,192,190,188,187,185,183,175,180,183,188,191,195,199,202,204,208,233,219,198,153,173,176,206,204,201,201,200,199,198,196,193,191,189,187,178,182,185,190,194,198,202,205,207,215,229,218,224,226,192,119,186,210,207,204,204,202,201,201,198,195,193,192,180,184,188,192,196,200,204,207,209,221,231,236,241,229,186,117,175,203,210,209,208,206,206,205,203,200,198,197,181,186,189,194,199,202,205,209,210,229,241,239,219,210,174,168,215,164,160,183,200,211,209,208,207,205,203,160,184,188,192,196,201,205,207,212,224,234,229,209,190,200,186,190,211,158,98,89,115,181,214,211,209,209,189,91,186,190,194,198,202,206,213,228,232,223,211,212,216,222,212,177,166,148,96,78,83,131,215,213,212,212,144,74,186,192,196,200,204,219,227,226,224,225,231,234,228,217,198,158,104,131,106,89,88,130,217,216,217,202,100,71,188,194,199,202,207,227,218,214,210,209,217,215,201,186,173,139,80,76,92,92,89,139,216,192,165,123,77,71,190,195,200,203,212,235,222,202,197,202,205,205,198,189,176,136,83,55,84,101,98,106,118,90,67,62,67,69,192,196,200,204,213,229,220,206,205,212,215,208,189,175,159,120,84,64,101,122,108,65,50,62,59,61,65,64,194,197,201,206,210,218,221,218,217,208,204,167,141,143,137,112,82,63,88,118,108,66,45,47,48,62,61,60,194,198,202,207,211,215,220,218,211,191,164,123,82,99,134,111,77,72,93,107,94,59,53,49,45,50,56,52,195,200,204,209,212,212,213,223,218,173,130,98,71,100,139,103,68,80,96,101,78,55,50,50,51,47,47,49,195,199,203,208,211,209,207,227,210,137,99,68,72,100,98,74,80,94,96,92,64,57,54,43,43,49,48,51,196,199,204,208,211,207,205,221,192,135,104,73,53,56,64,80,97,106,103,80,49,53,57,47,36,40,43,54,196,200,205,209,212,203,206,222,191,140,111,80,57,64,88,104,112,112,102,70,40,43,55,54,40,34,39,43,196,201,205,209,212,201,213,226,197,146,118,92,73,75,104,113,116,110,92,59,40,41,47,55,46,33,36,35,198,202,206,211,215,204,211,220,196,155,124,104,83,78,96,113,116,109,78,43,41,41,43,48,52,38,31,35,165,170,175,180,186,184,209,214,192,155,126,114,91,84,86,110,116,103,60,35,41,37,38,42,45,44,29,29,116,117,119,121,119,137,203,205,182,147,129,126,95,88,90,103,108,76,52,43,40,36,31,38,40,42,34,24,121,121,122,123,115,122,202,194,166,138,139,131,96,91,90,99,76,41,49,46,44,39,29,32,37,38,36,22
1,155,157,159,160,160,161,162,162,162,162,163,163,165,165,165,165,165,165,163,164,164,164,164,163,163,164,163,162,158,161,163,162,164,164,164,165,165,167,167,166,167,168,167,168,167,168,168,166,166,166,167,166,165,164,163,163,162,164,165,166,167,168,168,169,169,170,170,171,171,169,172,170,172,162,162,172,169,170,169,168,167,166,166,165,166,169,168,171,170,171,171,172,173,174,174,174,175,175,144,165,188,158,116,179,172,172,172,171,170,170,169,169,169,172,172,175,175,174,175,175,175,177,179,176,184,186,111,159,193,145,110,178,170,178,175,174,172,172,171,170,172,174,175,177,178,178,178,180,179,179,176,169,194,174,111,170,189,126,128,177,124,163,182,176,176,175,175,174,175,176,177,178,181,182,181,182,182,186,171,132,177,157,114,185,184,114,145,186,111,146,189,178,178,177,177,176,177,179,179,182,184,183,184,184,182,195,169,117,159,153,122,194,187,122,163,188,111,147,192,181,182,180,179,179,180,182,183,185,187,187,185,188,185,196,152,119,157,146,131,187,173,120,178,184,106,152,192,184,185,184,183,182,182,183,186,187,189,190,189,189,188,201,148,127,145,132,116,180,154,117,191,185,111,163,194,189,188,187,186,185,184,186,189,189,190,190,191,192,190,202,139,122,145,140,108,194,149,130,199,171,113,174,195,190,190,189,189,188,186,189,190,191,192,192,192,193,195,205,149,111,146,141,111,198,145,143,199,161,111,185,196,192,191,191,190,189,188,191,193,194,195,195,195,193,197,206,153,99,130,115,101,175,120,167,203,161,119,197,197,195,194,193,192,190,190,192,194,196,196,197,197,196,201,206,156,121,156,170,153,176,157,145,188,151,130,205,196,197,196,196,195,193,192,194,194,196,197,198,198,197,207,203,165,139,124,172,196,190,189,136,136,137,143,209,198,200,198,197,196,195,193,196,196,197,199,200,200,200,214,192,152,127,103,110,139,160,202,183,117,89,162,210,199,201,200,198,198,196,196,197,199,200,201,202,202,203,219,194,152,118,110,113,117,154,214,210,153,83,181,209,202,202,202,202,201,199,196,198,201,202,202,204,201,207,220,189,147,122,122,127,164,185,183,203,170,105,188,209,203,203,202,202,202,202,198,199,201,203,204,205,202,210,217,187,151,122,133,136,192,206,186,166,149,104,156,216,203,205,205,204,202,202,199,199,202,204,205,207,204,212,217,189,155,136,135,160,213,204,178,156,121,91,162,218,205,206,206,207,204,203,201,202,203,205,205,206,206,212,216,189,156,146,134,176,220,206,167,142,111,87,189,216,208,208,208,207,205,203,202,204,204,206,206,206,207,210,212,189,165,154,135,174,220,197,156,130,98,108,209,210,209,209,208,208,208,206,203,204,205,206,207,208,208,209,208,190,171,165,131,177,212,179,145,119,89,161,219,210,210,210,211,211,209,209,203,206,208,207,208,209,210,211,212,194,172,164,131,185,198,170,140,105,101,205,215,212,211,211,212,211,209,209,203,206,209,209,209,210,209,210,216,195,177,153,132,179,169,154,129,90,138,223,212,214,214,213,213,212,211,210,204,205,207,210,209,211,204,211,216,210,186,150,144,169,152,144,119,89,186,221,214,216,216,214,214,213,211,210,204,204,206,208,209,208,204,214,212,209,187,156,155,159,147,135,98,133,219,216,216,216,216,215,215,214,213,212,204,206,207,207,208,204,206,204,191,193,179,154,152,140,136,108,103,200,220,216,216,216,216,215,214,214,213,212
10,123,123,123,125,125,126,127,127,126,127,128,127,126,126,125,124,123,123,121,121,117,127,119,86,115,113,111,110,126,127,127,129,129,129,130,131,130,131,130,130,130,129,128,128,127,125,124,124,119,136,128,67,110,116,113,112,131,131,132,133,133,134,134,134,135,135,133,133,134,133,132,132,130,129,128,128,123,139,129,69,105,121,115,115,134,136,136,136,137,138,137,138,138,137,138,137,137,136,136,135,133,133,131,131,126,142,121,64,104,126,118,117,138,139,140,140,141,141,141,141,142,142,141,142,142,140,140,139,137,136,135,134,130,145,124,67,104,129,121,121,141,142,143,144,144,144,145,145,146,146,145,146,146,145,144,143,141,139,138,138,134,152,129,71,108,132,125,124,144,145,146,146,146,147,148,148,148,148,147,148,149,148,147,146,144,143,141,139,139,157,122,108,111,134,128,126,147,148,148,149,149,150,151,151,151,151,151,151,151,151,149,149,147,147,145,144,146,153,137,128,70,136,131,129,148,150,151,152,152,153,153,153,152,153,153,153,153,153,153,152,151,150,147,144,123,115,143,127,54,121,139,131,152,152,153,154,155,154,155,155,155,155,154,155,156,156,156,154,152,153,153,156,146,117,101,113,73,64,143,135,154,155,155,157,158,157,158,159,158,158,158,158,159,158,158,158,155,146,131,144,159,135,107,79,82,50,97,146,157,158,158,159,159,159,160,159,160,160,160,160,160,160,158,155,161,138,106,79,98,146,145,114,63,59,65,147,159,159,160,161,161,161,162,162,162,162,162,162,161,162,143,108,124,158,132,90,20,95,141,86,52,45,73,149,161,161,162,163,163,163,164,164,164,163,164,164,162,160,151,128,94,146,154,113,47,24,50,89,75,44,81,154,162,162,163,164,164,164,164,164,164,164,165,165,164,153,153,153,119,109,161,121,77,33,34,120,114,51,87,156,164,163,165,166,166,166,165,166,167,166,167,166,163,139,115,145,131,75,125,132,81,40,58,116,130,62,82,157,164,165,166,167,168,167,168,169,168,169,169,166,163,150,98,95,117,51,78,137,81,47,67,113,121,58,78,158,165,166,168,168,169,169,169,170,170,169,170,169,157,140,116,83,99,74,61,129,123,73,71,115,87,45,96,161,166,168,169,169,170,170,170,171,171,170,170,168,161,166,145,97,90,96,66,110,143,94,62,98,69,41,131,158,168,169,169,170,170,171,171,171,172,172,172,171,160,170,152,121,98,90,87,134,131,76,58,84,61,55,156,154,169,170,171,171,171,172,173,172,173,174,175,175,162,166,161,134,108,101,115,166,157,119,88,82,53,82,165,153,169,171,172,172,172,173,174,174,174,175,176,176,165,153,156,141,120,111,118,160,158,135,103,80,44,112,166,154,168,169,171,172,172,171,171,173,175,175,175,176,169,150,154,147,139,123,119,155,150,122,90,69,48,145,162,157,169,169,170,171,171,172,172,173,175,175,175,175,176,152,143,151,147,127,109,141,131,107,81,49,71,166,156,157,170,169,171,173,173,174,175,175,176,176,176,175,177,166,136,143,139,124,103,117,117,93,69,35,118,168,156,156,171,171,172,173,173,174,175,174,174,175,176,176,175,175,151,141,132,118,103,103,117,93,54,62,163,161,158,156,169,172,174,175,176,179,179,179,180,181,181,181,182,177,159,143,129,124,115,102,112,88,42,113,171,158,160,162,104,106,110,114,117,122,127,130,134,137,140,144,150,149,153,148,132,137,121,107,107,78,43,134,165,157,153,119
15,168,160,141,142,111,106,148,41,41,77,78,80,84,88,91,103,118,131,141,144,149,156,161,165,169,172,175,178,175,161,143,147,104,121,148,31,49,78,79,81,85,89,94,107,120,134,143,146,151,160,164,168,172,175,178,181,181,158,147,152,97,136,143,23,57,80,80,82,86,89,95,110,124,136,145,149,154,161,167,171,175,178,181,184,185,160,152,156,92,151,133,19,65,81,81,83,86,89,96,113,127,139,147,151,157,164,170,174,177,181,184,186,186,161,156,156,92,163,120,19,71,81,81,84,88,90,98,114,129,142,150,153,159,167,173,177,180,184,187,189,186,160,159,152,95,171,104,20,76,80,81,84,86,88,100,117,132,145,152,155,161,170,176,181,184,187,191,193,187,162,162,146,101,177,89,31,85,86,91,98,106,103,100,119,134,148,156,159,166,176,183,186,188,191,195,197,184,165,171,144,126,146,124,116,115,114,124,126,120,110,103,105,113,124,138,148,155,157,162,183,197,196,198,202,179,170,165,130,124,127,120,116,104,108,108,103,100,103,113,111,110,111,111,118,128,123,113,112,142,193,208,207,178,168,144,116,114,110,107,103,100,104,103,103,103,111,120,121,114,110,107,114,129,128,119,105,86,101,166,212,177,169,168,112,121,113,88,92,95,102,104,103,105,116,120,118,114,107,109,123,121,121,120,111,100,89,83,121,175,171,176,101,165,157,30,70,87,85,87,89,94,105,120,126,122,110,117,120,123,120,121,110,105,105,96,82,174,177,177,98,177,144,18,71,85,83,84,87,89,93,113,145,173,143,127,123,119,119,116,116,105,117,113,94,176,179,174,100,186,130,18,77,86,83,84,88,89,95,115,175,168,145,118,118,110,99,105,117,105,128,126,107,181,180,168,107,191,114,19,82,85,83,85,88,91,93,146,180,144,128,79,81,84,64,86,132,119,138,128,111,184,183,159,114,193,97,24,85,84,83,85,88,89,106,182,156,129,111,77,47,45,31,93,158,148,140,115,107,187,185,150,125,196,81,29,88,85,84,85,88,85,160,195,143,119,95,63,42,35,27,116,167,164,144,109,99,188,188,139,136,196,66,36,91,85,83,85,88,86,171,188,154,118,86,43,36,34,41,132,170,178,153,113,95,192,194,130,151,193,52,43,92,84,84,86,88,86,130,196,178,138,95,43,32,63,67,114,167,177,149,113,98,195,199,121,166,194,41,51,92,84,82,85,88,89,102,186,200,165,108,56,31,70,98,124,165,152,127,111,89,196,201,115,180,189,32,59,92,84,82,83,87,89,100,153,215,181,133,102,86,94,144,153,140,115,101,102,86,198,200,109,192,178,24,64,90,83,80,81,84,86,103,128,202,198,182,170,163,168,157,119,100,92,88,91,86,200,197,110,201,165,19,71,87,81,80,80,83,85,103,128,192,179,148,142,152,167,146,97,83,85,78,89,95,201,190,113,209,149,18,76,86,79,77,78,82,86,100,167,188,143,134,134,146,166,144,92,78,80,111,83,75,201,182,122,215,132,15,78,82,76,75,76,81,84,99,185,167,137,127,127,132,151,141,100,80,172,208,79,63,202,173,129,216,121,38,90,87,79,77,76,77,82,99,158,155,135,130,120,111,124,127,97,83,212,219,87,68,204,164,141,208,166,131,132,133,129,125,121,122,124,126,134,143,150,172,172,114,87,153,116,114,199,203,93,74,205,154,152,206,174,113,113,118,117,117,118,123,123,122,116,118,122,127,185,162,97,124,125,121,132,131,89,78
20,153,155,157,158,160,163,164,166,167,168,169,170,171,171,172,174,174,174,174,175,175,175,175,175,175,175,176,175,155,157,158,160,162,164,165,167,168,168,169,171,172,172,175,163,167,177,177,175,177,176,177,177,177,177,177,177,155,157,159,161,164,164,166,168,168,169,170,172,174,172,186,148,139,159,160,180,178,179,179,178,178,178,178,178,156,159,161,161,163,165,168,169,169,171,173,174,174,174,193,152,158,162,127,179,180,179,179,178,178,179,179,178,157,159,161,162,164,166,168,169,170,171,174,175,174,175,189,151,169,174,123,173,181,179,180,180,180,180,180,179,158,160,162,163,166,167,169,170,172,173,174,174,173,180,199,161,172,177,129,172,184,181,182,182,182,181,181,181,159,161,162,164,166,167,170,172,173,173,175,177,173,187,198,159,184,179,133,169,185,182,182,182,182,182,182,181,159,161,163,165,167,168,170,172,174,175,168,170,178,188,181,155,186,175,130,164,188,182,183,182,182,183,182,181,159,161,164,165,167,170,171,172,174,178,168,132,160,197,173,149,190,166,126,167,189,184,185,184,184,184,183,182,160,162,164,167,168,171,173,172,173,184,169,143,121,173,166,149,191,164,128,175,187,185,186,184,184,183,183,182,161,162,164,167,169,170,172,178,162,164,175,167,158,132,130,137,172,159,128,179,187,185,186,185,185,185,184,184,161,163,165,168,169,169,179,195,159,136,179,184,178,147,112,111,149,150,125,180,187,186,186,186,186,185,185,186,162,163,165,168,170,170,182,171,178,157,133,157,184,169,132,112,132,130,122,184,187,187,188,187,187,185,185,186,162,164,167,169,171,169,186,165,145,141,98,100,176,189,158,117,118,123,118,183,188,187,188,188,187,187,187,186,162,163,167,169,171,171,184,162,141,137,115,112,152,200,175,134,111,119,117,183,189,188,188,187,187,187,187,186,163,164,166,170,171,171,189,185,164,144,124,132,141,200,188,154,119,109,112,184,189,188,188,187,186,187,186,186,163,164,167,170,172,171,197,178,150,137,132,143,154,200,189,164,129,104,108,182,191,188,189,188,187,187,187,186,163,166,167,170,173,173,196,175,152,146,147,145,190,210,177,161,133,103,108,186,191,189,190,189,188,187,187,187,164,165,168,171,172,174,200,180,160,154,154,156,211,207,179,157,137,105,112,189,190,189,190,189,188,188,188,187,165,166,168,172,173,174,201,185,168,150,162,176,210,197,183,157,137,106,120,194,189,189,190,189,188,188,189,188,165,167,169,171,174,174,203,191,171,160,160,186,207,186,179,152,135,104,131,196,188,189,190,189,189,189,189,188,164,166,169,172,175,173,201,192,175,178,160,190,203,186,176,155,131,103,139,196,188,189,190,189,189,190,189,188,164,167,170,172,175,173,192,197,184,189,173,179,196,180,172,156,129,101,139,197,189,191,190,191,190,190,189,188,164,167,170,173,174,174,182,198,190,191,181,174,186,177,171,155,128,103,142,197,189,191,190,190,191,190,190,190,163,167,170,173,174,175,176,195,193,183,172,174,179,172,170,165,129,103,155,197,189,191,190,190,190,190,191,190,164,166,169,173,174,176,175,194,186,175,164,167,176,170,169,165,131,107,173,195,191,192,191,190,190,191,190,190,164,167,170,173,174,176,176,193,180,172,165,163,176,172,166,163,123,118,191,191,191,192,191,191,191,191,191,190,163,167,170,172,174,176,177,196,192,184,171,167,180,166,159,157,112,137,198,190,192,192,192,191,191,192,191,191
6,159,162,162,163,163,164,162,162,162,162,162,160,159,158,157,156,156,153,151,150,150,150,149,147,144,144,86,106,161,163,164,164,165,164,163,164,164,163,163,162,161,160,160,158,157,155,153,152,152,152,151,150,147,144,138,89,164,165,167,167,167,167,165,165,166,165,163,163,162,163,162,161,158,156,157,156,155,154,151,151,150,146,145,127,165,168,168,169,169,169,168,168,168,168,167,164,163,164,163,161,160,159,159,159,159,154,152,152,150,148,144,136,167,169,170,171,171,171,170,170,169,168,167,167,165,165,164,164,163,162,160,159,158,156,154,154,151,150,146,142,169,170,170,172,173,171,172,172,171,171,170,169,168,166,166,167,165,163,161,161,161,159,156,154,154,152,150,145,169,171,171,174,175,175,174,175,173,172,171,172,170,170,170,167,165,160,160,159,159,156,152,152,145,148,148,149,171,172,173,175,177,177,176,176,178,177,172,169,165,158,155,152,150,125,126,142,143,127,137,134,143,189,129,140,172,174,177,178,177,177,175,174,166,153,155,156,150,152,155,156,144,139,126,150,155,136,140,142,132,167,107,134,174,177,178,179,178,176,177,184,157,132,142,156,159,165,168,166,148,123,125,118,118,105,92,95,84,89,119,154,175,176,178,179,180,176,188,197,165,146,136,135,139,133,128,119,109,98,68,63,54,61,108,115,134,151,158,153,176,177,179,179,181,178,199,200,179,163,145,128,122,111,104,92,77,55,24,9,6,129,178,167,166,161,156,154,176,178,180,182,181,186,207,202,193,159,119,111,117,126,124,116,105,96,93,49,92,179,162,162,161,160,158,156,178,180,181,184,179,197,213,207,189,126,92,102,107,120,126,125,114,101,102,66,107,181,165,166,164,162,159,158,180,182,183,184,178,208,209,205,159,99,109,105,95,98,118,108,96,96,88,38,114,180,167,168,164,162,161,160,179,182,184,181,186,212,205,204,169,146,129,110,84,84,122,113,105,109,89,52,164,174,170,168,167,164,163,161,181,184,186,179,202,207,205,208,205,190,144,107,114,125,125,116,101,88,85,65,132,181,169,170,167,164,162,160,183,185,180,186,209,207,209,204,203,198,137,95,102,108,108,105,88,77,76,41,124,182,170,172,169,165,162,160,183,185,176,195,207,211,206,197,196,175,128,99,93,83,88,96,92,85,62,58,165,176,171,171,169,165,165,168,184,174,176,202,206,209,199,189,183,177,157,136,99,55,64,92,87,86,52,97,184,169,172,170,165,165,163,137,183,160,192,204,207,201,196,196,189,180,187,173,116,76,93,117,104,80,69,54,162,177,169,168,169,178,93,4,170,168,201,204,204,200,202,198,183,188,193,158,97,73,84,85,74,61,49,44,160,177,175,180,148,75,2,0,164,189,196,201,197,193,186,181,178,188,174,129,85,78,77,64,53,47,41,123,189,178,146,78,20,0,0,0,181,191,197,193,184,176,168,170,169,153,130,98,80,67,43,84,104,127,157,165,116,61,7,0,0,0,0,0,190,189,193,185,168,164,161,157,155,131,102,88,88,78,93,156,132,105,69,26,0,0,0,0,0,0,0,0,187,188,179,166,154,142,154,152,139,125,112,96,71,38,40,11,0,0,0,0,0,0,0,0,0,0,0,0,186,183,175,163,147,134,136,130,114,105,85,54,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,189,178,170,151,126,119,112,94,75,61,37,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,191,191,191,191,193,193,192,192,191,190,190,191,190,188,187,186,185,183,181,180,179,178,177,175,174,174,173,172,196,195,195,195,196,196,195,195,196,194,192,192,192,191,190,189,188,186,184,182,183,182,179,177,175,175,175,174,200,200,201,200,199,200,200,199,200,199,197,197,196,196,191,193,190,186,189,185,184,184,183,180,179,177,175,173,203,203,203,203,201,205,205,204,202,203,201,200,198,193,195,215,149,160,198,188,187,186,184,183,181,179,178,175,206,207,208,207,210,195,203,209,205,206,204,201,205,197,180,139,111,183,196,191,191,191,188,185,184,182,181,178,210,211,214,208,234,161,166,221,210,209,206,218,208,148,121,149,190,201,197,195,194,193,191,189,188,185,183,181,215,215,217,214,230,136,164,226,213,206,215,211,142,130,206,217,211,206,201,201,203,198,194,193,191,188,185,184,219,218,218,220,213,131,192,227,210,191,182,134,137,189,156,158,157,158,157,154,179,195,199,197,194,191,190,189,222,222,222,223,194,136,215,228,210,165,124,131,213,130,112,126,148,163,165,163,159,181,154,192,198,194,193,192,226,226,226,226,209,136,194,234,203,154,123,147,163,118,125,117,126,127,115,128,136,135,140,200,199,197,195,193,228,229,228,229,215,137,179,241,191,150,126,122,134,134,105,87,84,82,86,94,97,100,175,207,204,199,197,196,231,231,232,231,207,152,133,228,191,138,104,104,118,112,87,93,105,100,118,118,145,164,153,137,197,207,199,198,233,235,235,238,197,167,159,158,160,140,119,102,95,77,87,115,92,124,167,172,193,169,158,150,148,201,204,201,237,236,238,239,234,187,185,169,138,145,129,100,98,87,91,90,133,225,231,227,221,194,199,191,144,204,206,204,238,238,239,238,243,227,187,203,196,159,115,93,86,99,84,157,233,227,221,224,192,189,198,142,178,217,205,206,240,240,241,242,240,246,219,208,210,177,134,87,89,81,117,248,232,226,232,206,167,196,161,136,218,213,211,208,242,242,243,244,243,245,241,206,217,189,145,91,90,84,129,211,223,241,219,186,179,174,105,186,226,214,214,211,243,244,244,245,246,247,245,215,222,199,154,103,90,110,108,125,152,183,174,179,174,114,152,228,219,218,216,213,244,245,245,245,247,247,247,210,228,209,159,114,91,110,113,129,154,135,150,175,125,149,235,223,221,219,217,214,245,246,248,247,247,247,249,210,231,209,160,131,96,103,114,128,151,154,130,124,135,234,229,225,223,221,218,215,249,248,249,250,249,249,250,212,234,208,167,145,102,97,117,134,147,140,104,101,223,235,229,228,225,223,221,218,251,250,251,251,251,252,249,216,228,205,173,146,106,92,119,132,136,114,94,211,242,232,231,230,228,224,222,220,252,252,253,253,252,254,251,217,215,198,171,147,109,90,116,119,120,80,161,253,233,236,233,232,231,227,224,221,254,253,253,254,254,255,252,216,212,197,168,147,108,93,110,117,97,99,238,242,239,237,235,234,232,228,225,223,254,255,254,254,255,255,247,218,215,195,168,143,107,94,105,97,81,204,251,240,241,238,237,236,232,229,227,225,255,255,255,255,255,255,242,225,218,199,175,135,100,93,82,84,200,255,243,244,242,239,237,236,233,231,229,226,254,255,255,255,255,255,238,225,215,202,169,121,95,80,121,230,255,247,246,245,244,241,238,237,235,231,230,228,254,254,254,255,255,250,225,206,210,193,153,108,92,92,237,255,244,249,246,243,242,240,238,236,235,232,230,229
3,132,136,141,143,144,146,146,148,150,149,150,150,145,170,149,131,151,147,146,144,143,141,139,137,136,134,131,127,136,139,144,146,148,150,151,151,153,154,154,154,146,184,184,96,150,153,149,147,146,146,142,141,139,136,133,131,139,143,146,149,152,153,154,154,157,157,158,157,153,172,211,94,128,160,151,151,150,149,146,144,141,139,136,134,143,144,149,152,153,156,157,157,159,159,159,161,160,161,222,138,111,165,156,155,154,152,150,147,145,142,139,137,144,148,151,154,157,159,160,161,161,162,162,163,167,155,221,173,94,161,159,157,155,154,152,151,148,145,142,142,147,151,154,158,159,160,163,165,164,166,163,164,161,186,224,179,109,152,167,161,159,156,153,153,151,149,146,143,150,153,157,160,160,163,165,167,168,165,180,209,187,202,229,232,172,128,165,165,162,159,159,157,155,152,150,148,151,155,159,163,163,165,166,168,173,162,209,239,238,214,159,186,190,97,164,164,148,165,161,159,157,155,154,152,153,157,162,166,168,169,169,171,169,185,225,223,183,201,158,98,186,141,173,134,131,173,163,163,160,158,157,154,157,160,165,169,170,172,172,175,172,226,237,227,163,135,173,124,146,189,169,108,95,177,167,166,164,162,159,158,160,163,168,171,174,175,176,175,182,224,179,143,194,174,136,164,101,100,156,130,79,141,178,168,167,164,162,160,162,166,170,174,175,177,178,176,191,227,148,54,86,125,81,95,77,38,130,165,114,106,179,171,168,167,165,163,164,169,173,175,176,178,181,177,199,221,128,93,77,71,73,70,66,42,110,180,120,119,179,173,171,170,168,166,166,171,175,177,178,182,184,177,209,219,170,138,94,79,79,86,63,51,156,188,118,136,182,173,173,172,171,168,168,172,176,178,181,183,185,181,216,229,181,122,86,83,93,90,96,127,191,195,121,150,183,175,176,175,172,170,171,174,176,180,184,185,188,184,216,227,161,104,83,89,104,107,162,201,209,188,112,162,185,179,178,177,175,172,172,175,181,182,184,186,188,185,215,225,164,111,93,96,110,138,207,223,203,165,104,169,188,183,180,178,176,175,173,177,182,183,185,189,192,188,214,231,177,123,102,104,114,171,225,220,189,131,114,183,186,183,181,180,177,176,175,179,183,185,188,190,193,188,210,234,184,134,109,112,133,201,223,210,180,114,122,193,185,185,191,188,185,175,175,180,184,186,188,190,191,189,207,237,198,148,116,119,144,217,220,194,167,107,136,197,188,191,145,110,105,85,176,180,183,186,189,191,192,193,203,233,204,160,129,130,151,212,213,181,151,101,156,196,199,151,75,78,69,65,176,181,186,190,191,193,193,196,198,224,207,174,145,147,147,193,191,156,129,101,177,198,189,104,71,68,63,58,177,182,186,190,192,194,195,197,199,219,214,185,155,155,129,155,159,123,101,117,204,188,110,64,49,31,15,0,179,183,185,189,192,194,195,205,168,186,229,193,159,140,108,115,120,104,81,149,141,85,66,55,35,18,17,5,184,187,190,195,197,197,205,174,23,135,239,190,143,109,83,87,90,90,41,14,41,68,67,65,44,11,5,10,159,165,170,174,178,180,188,80,0,102,223,165,110,75,60,75,75,57,0,0,4,51,49,57,67,28,0,6,83,84,88,89,88,86,99,73,0,38,149,156,101,54,69,80,55,13,0,0,35,29,30,35,62,52,9,0,82,79,87,86,82,84,90,98,65,46,78,135,94,62,84,69,37,6,0,8,40,10,7,22,46,60,29,0
21,105,108,113,119,124,129,132,136,138,140,142,144,145,145,145,145,146,144,142,142,142,141,139,137,137,137,133,131,107,109,114,121,127,131,134,137,139,142,145,146,146,147,145,147,144,145,148,144,143,142,141,140,138,138,136,134,109,112,117,123,129,133,136,138,141,145,146,148,149,148,150,147,162,136,122,150,145,144,145,143,140,140,138,135,111,114,119,125,130,134,137,141,143,146,149,151,151,151,153,145,184,141,85,154,145,146,145,144,144,142,140,138,112,115,121,128,133,136,140,144,145,147,150,152,153,153,153,146,187,138,80,152,148,147,146,146,139,141,141,140,113,116,122,128,135,138,140,144,146,149,151,153,155,153,154,148,195,138,79,150,149,150,147,172,108,118,148,142,115,119,124,131,136,139,143,145,147,150,153,154,154,154,155,151,202,146,87,149,153,149,156,178,84,118,150,143,116,120,127,134,138,142,146,146,150,153,155,156,155,156,158,153,207,148,94,150,156,147,172,163,79,132,149,144,117,119,128,134,138,143,145,148,153,155,156,158,158,158,157,156,208,140,97,151,157,151,188,144,84,142,148,145,119,121,128,136,139,144,148,151,153,155,157,160,159,158,155,166,220,145,99,149,157,159,201,134,95,152,149,147,120,123,131,136,142,146,149,153,154,156,159,162,157,177,171,150,206,165,105,151,154,179,199,118,108,158,150,149,121,125,131,138,143,148,151,153,156,159,160,159,164,226,192,131,111,150,109,155,157,205,182,100,121,160,151,151,123,125,134,141,144,150,154,155,158,159,167,193,154,189,214,149,73,91,112,156,177,209,157,88,139,159,153,153,123,127,135,143,149,153,156,159,161,155,197,230,167,121,201,148,73,64,109,160,187,189,129,97,159,155,154,153,124,129,136,144,150,153,157,160,163,161,214,237,201,107,150,159,79,54,82,132,161,165,104,123,165,156,155,154,125,130,138,145,152,154,159,162,164,171,212,198,210,101,118,194,129,67,56,89,120,125,94,154,163,158,157,155,127,132,141,147,152,156,160,165,163,179,222,187,195,137,90,196,180,108,54,74,107,88,102,170,161,160,159,157,127,132,143,148,153,157,161,166,162,202,232,183,164,158,78,148,189,148,81,51,85,72,113,172,162,162,161,158,128,133,142,149,154,159,162,169,163,216,216,157,130,111,96,106,180,182,132,61,60,64,128,173,164,164,162,161,129,134,143,151,157,161,164,170,165,221,216,157,121,122,132,136,177,208,169,104,57,64,153,172,166,166,164,163,130,136,144,152,157,162,167,171,168,225,216,156,119,140,147,197,202,208,195,140,76,77,172,170,169,170,166,164,129,136,145,153,158,162,167,171,171,225,216,159,124,153,166,221,211,200,186,160,102,91,179,171,171,170,168,165,127,135,145,151,157,162,168,172,171,225,219,155,140,154,183,231,218,201,165,142,102,94,180,171,171,169,168,166,128,135,145,153,160,163,168,173,172,224,222,153,168,150,203,239,220,193,165,113,77,102,181,172,172,170,169,167,129,136,146,154,161,165,169,175,173,218,218,170,189,149,209,241,215,189,158,103,67,126,185,174,174,171,169,167,129,137,146,152,159,165,169,175,171,209,217,195,195,148,201,235,202,175,136,97,73,156,181,174,174,172,169,167,128,136,146,155,161,166,171,177,175,200,224,208,193,146,189,220,177,149,114,82,92,184,180,179,178,176,175,169,121,127,132,136,140,143,146,150,149,166,223,204,183,142,164,201,156,124,103,79,98,149,144,143,141,140,137,147
20,140,142,144,146,149,152,154,156,157,158,159,161,163,162,164,165,165,166,167,167,168,168,168,167,168,168,168,168,142,144,146,148,151,153,155,157,158,159,160,162,163,164,166,153,156,166,168,168,169,169,170,170,170,170,170,170,143,145,147,150,153,154,156,158,159,160,162,164,165,165,176,139,128,147,150,171,172,173,173,172,171,171,172,171,144,147,149,150,153,155,158,159,160,162,165,166,167,167,183,143,145,148,117,167,173,173,172,172,172,172,173,171,145,147,149,152,154,157,159,160,161,163,166,167,167,169,181,144,158,158,112,162,174,174,174,174,174,174,174,173,146,148,151,153,156,158,160,161,163,165,166,167,166,174,191,155,164,163,118,162,177,176,176,176,176,175,175,175,147,149,151,153,156,158,161,163,165,165,166,168,168,181,190,154,176,166,122,159,178,177,177,177,176,177,176,176,147,150,152,155,157,159,161,164,166,166,160,159,170,184,174,148,179,163,118,155,180,178,178,177,177,177,177,176,148,150,153,155,158,161,163,164,167,170,156,123,148,186,165,141,182,154,113,157,181,180,180,178,178,178,177,176,149,151,154,157,159,162,164,164,165,174,158,130,113,158,152,138,180,152,115,165,181,180,181,179,179,178,177,177,150,151,154,158,160,162,164,170,154,153,166,157,143,121,113,120,159,145,115,169,181,181,181,180,180,180,179,178,150,152,155,159,160,161,173,184,151,129,165,174,167,132,94,92,132,132,111,171,182,181,182,181,181,180,180,181,151,153,155,158,160,162,175,164,164,140,119,143,174,158,116,92,111,112,106,174,182,183,183,183,182,181,181,181,151,153,157,160,162,162,178,156,134,122,79,86,162,180,145,99,96,101,101,173,183,183,184,184,183,182,182,181,151,153,157,160,162,164,177,153,129,119,91,93,140,191,166,118,91,95,99,173,184,184,184,183,182,182,182,182,152,153,156,160,162,164,183,175,150,126,105,112,130,194,181,140,99,86,93,173,185,184,184,183,182,182,182,181,152,154,157,161,163,165,191,171,139,122,115,126,145,196,182,151,110,80,88,172,186,185,185,184,183,182,182,182,153,156,157,161,164,167,190,167,141,131,131,136,182,206,174,149,114,80,89,175,187,186,186,185,183,183,182,183,154,156,159,162,164,169,195,174,150,139,141,149,206,205,174,145,117,83,94,179,186,186,186,185,184,184,184,183,155,157,159,163,165,169,197,180,158,139,151,169,208,195,176,145,118,85,102,183,186,186,186,185,184,184,185,184,155,157,159,163,166,169,199,186,164,150,152,180,204,184,171,140,115,84,114,186,186,186,186,185,185,186,185,184,154,157,160,164,167,168,197,188,170,168,154,184,200,182,167,142,110,84,123,187,186,186,186,186,185,186,185,185,154,157,161,164,167,167,188,194,181,182,167,174,191,175,163,142,107,82,123,188,187,187,187,187,186,187,186,185,154,158,161,165,166,168,177,194,187,186,174,169,180,170,162,141,107,84,128,188,187,187,187,187,187,187,186,186,153,157,161,165,166,168,171,191,189,178,165,167,171,164,162,151,109,85,142,189,187,187,187,187,187,187,187,186,153,157,160,164,167,168,170,189,181,168,156,158,167,163,160,151,111,91,162,189,188,188,188,187,187,187,187,186,153,157,162,164,166,168,171,188,175,165,156,155,167,164,156,147,106,102,180,188,188,189,188,188,188,188,188,187,153,158,162,164,167,169,172,192,187,177,162,159,170,158,149,140,97,121,189,189,189,189,189,188,188,188,188,188
19,149,152,156,161,165,169,172,174,177,179,181,183,184,185,185,185,187,187,185,185,185,183,183,183,182,181,181,181,150,155,158,162,166,170,173,175,178,180,182,184,185,185,186,188,188,186,185,186,186,186,185,185,183,183,182,182,151,155,161,165,168,172,174,177,179,181,184,185,185,187,188,188,189,189,188,187,187,187,186,186,186,186,185,183,151,156,162,166,171,173,175,177,180,182,184,186,187,189,190,189,189,189,190,189,189,188,188,187,187,187,187,185,153,157,162,167,171,174,176,179,180,184,185,187,189,188,189,192,190,190,192,192,190,190,189,188,188,187,187,186,153,158,162,168,173,176,179,181,182,185,186,187,195,183,139,173,193,192,193,193,191,191,190,190,190,188,187,186,155,159,164,170,174,178,180,181,184,186,188,188,206,189,119,114,196,194,194,193,192,193,193,191,190,189,188,188,156,160,165,171,175,178,181,184,186,187,190,190,213,197,130,89,185,197,195,193,193,194,195,192,191,191,190,189,157,161,167,172,176,179,181,183,187,189,191,188,206,184,130,81,166,198,195,194,194,195,193,190,190,192,191,190,158,161,168,173,177,179,186,187,155,141,159,170,161,151,135,119,133,154,162,154,151,160,142,172,193,175,193,192,158,162,168,173,178,179,198,182,141,136,141,150,156,153,148,137,131,142,162,148,145,150,140,191,200,141,194,193,159,164,171,175,178,189,199,186,152,107,103,107,135,138,139,123,120,125,134,132,130,129,130,147,147,155,197,193,160,166,171,175,180,202,211,193,147,91,80,90,91,92,95,90,91,102,115,118,119,126,134,149,175,195,195,195,160,166,171,175,198,209,212,177,135,100,85,94,98,92,64,100,173,193,195,195,197,202,201,201,200,196,195,195,161,167,170,191,213,213,216,192,144,97,82,82,104,103,82,77,166,209,203,203,203,202,202,200,200,198,197,196,163,166,177,210,213,215,223,202,144,92,77,74,88,109,98,79,72,194,206,204,204,205,202,201,201,200,199,198,164,166,199,214,215,221,220,199,146,95,79,86,84,80,80,89,66,174,210,205,205,206,204,203,202,200,200,199,161,182,215,214,216,218,215,199,156,102,77,74,96,91,69,59,83,201,208,206,206,206,206,205,203,201,201,200,167,207,215,214,216,213,216,208,172,105,80,67,84,95,85,54,143,215,206,207,207,207,206,205,204,203,201,201,201,217,213,214,210,210,216,200,154,108,89,81,77,73,85,66,184,212,208,207,207,208,207,206,205,203,203,202,220,209,214,208,198,197,194,173,134,118,110,98,89,72,59,89,205,210,209,209,208,208,208,207,206,205,203,202,211,207,205,198,195,191,181,166,144,124,109,105,98,82,57,164,217,210,209,210,210,209,209,208,207,206,205,203,203,200,201,195,193,191,180,164,164,142,103,93,99,89,67,183,217,211,210,210,210,210,209,208,207,207,207,206,198,200,199,188,188,187,172,154,152,126,75,69,93,80,116,215,212,212,211,210,210,210,210,209,207,207,207,205,198,202,188,178,175,171,152,128,111,87,53,64,88,86,188,213,210,210,209,209,209,209,210,209,208,206,206,205,199,197,177,155,151,150,123,95,86,77,71,86,117,180,212,209,209,210,210,209,209,209,209,208,208,207,206,206,186,182,169,140,117,114,100,81,79,170,185,192,208,212,209,210,210,211,212,211,210,209,210,208,208,208,207,206,162,171,164,126,83,63,60,47,130,211,209,209,209,210,210,211,213,213,212,212,212,210,210,209,209,208,207,206
11,150,154,156,159,163,164,166,167,168,168,167,167,168,166,166,164,163,161,160,160,157,157,155,154,152,151,150,146,153,156,159,163,165,166,168,170,170,171,170,169,169,169,169,167,166,165,163,162,160,159,158,157,154,152,150,149,155,159,161,164,168,169,171,171,172,173,172,171,171,170,169,168,168,167,165,163,163,162,159,158,156,155,152,151,157,161,163,166,170,170,173,173,173,175,174,175,174,173,171,171,164,166,170,166,164,164,162,159,159,157,155,152,159,163,166,168,170,174,176,176,175,176,175,176,176,176,173,180,162,102,166,168,165,166,166,162,162,160,157,154,161,165,167,169,173,175,176,177,176,177,177,177,177,177,173,186,171,74,139,177,167,168,168,166,164,161,159,158,163,166,171,172,175,176,178,179,178,179,179,180,179,177,175,186,164,82,131,181,168,168,169,168,165,163,161,160,165,168,172,174,176,178,181,182,183,182,181,181,181,181,174,193,177,92,130,183,171,169,168,168,167,164,162,160,166,169,172,176,177,181,184,183,184,184,183,181,182,184,176,202,188,101,119,186,172,171,170,169,168,165,164,162,169,172,174,177,180,182,184,185,184,184,184,183,183,183,178,203,170,88,117,187,172,173,173,172,169,167,164,163,170,173,175,179,182,184,185,185,185,185,185,184,187,190,186,203,162,81,123,188,174,175,174,173,172,169,166,164,172,175,179,183,184,185,186,186,187,188,193,193,175,135,162,210,159,87,134,188,175,177,176,174,173,171,169,166,175,176,180,184,185,186,188,194,197,182,146,165,162,98,84,178,131,74,147,189,178,178,177,176,175,172,169,167,175,178,181,184,188,188,189,152,161,175,108,58,141,125,56,65,74,56,171,187,181,180,177,176,176,174,169,168,177,181,183,185,188,194,194,136,71,159,126,54,141,122,54,40,46,78,192,183,182,182,182,181,179,179,173,169,177,182,185,189,187,208,201,168,69,134,136,54,128,101,51,43,42,90,197,183,185,182,176,170,159,155,172,176,181,183,186,188,198,222,205,163,72,89,115,44,108,96,46,32,29,84,199,184,184,177,165,155,128,111,108,147,182,185,188,187,211,202,180,160,79,51,98,47,133,110,57,24,35,91,201,177,189,187,146,110,79,72,52,73,184,185,191,189,216,219,186,148,59,73,119,51,175,162,76,34,55,85,171,181,182,128,57,44,93,123,115,132,184,187,192,191,221,223,189,126,81,104,190,84,166,160,52,50,99,112,157,173,129,51,57,159,193,189,186,181,184,187,192,191,223,218,172,144,135,89,218,106,56,116,88,116,117,109,130,110,50,72,184,192,182,180,177,175,184,188,192,191,219,214,187,162,125,108,157,95,108,164,156,131,107,88,87,45,61,192,191,184,185,182,180,177,186,190,193,192,212,214,197,170,151,170,180,186,162,146,135,116,102,72,42,52,177,197,188,188,186,184,182,179,187,191,195,194,206,209,191,167,137,137,158,165,148,142,117,107,93,34,71,180,199,192,192,190,189,184,183,181,186,191,191,200,205,201,184,140,112,133,151,143,136,120,108,95,41,88,199,202,192,193,192,191,189,185,183,182,184,195,80,43,178,185,164,131,135,146,143,132,117,98,66,44,114,206,198,195,194,192,191,190,188,185,182,179,197,134,24,13,75,163,177,172,162,134,132,110,78,34,73,177,209,198,197,197,194,192,191,190,188,185,182,180,186,60,25,36,23,60,137,151,139,120,107,84,44,41,198,212,198,200,198,197,195,193,192,190,188,185,183,181
3,131,139,144,147,149,153,158,162,164,165,167,168,169,169,170,170,171,174,172,171,172,171,171,172,173,171,170,170,134,142,148,151,153,157,162,165,167,169,171,172,172,173,174,176,180,143,170,176,174,175,175,175,175,174,174,173,139,147,152,156,159,163,167,170,172,174,176,177,177,178,178,184,190,113,149,187,179,181,181,180,179,178,177,176,144,151,156,159,164,167,171,174,177,179,180,181,182,184,183,187,191,111,125,193,184,185,185,184,182,182,181,179,148,154,159,163,168,171,175,179,181,183,184,185,187,188,188,191,195,113,111,193,189,189,188,188,187,185,185,184,151,159,163,166,171,175,179,183,186,188,189,190,191,192,193,195,204,130,106,193,193,193,193,192,192,190,189,188,154,162,167,170,175,179,183,186,189,192,192,194,196,195,195,190,213,136,94,186,200,197,198,196,196,195,192,190,157,164,170,172,177,181,186,191,192,194,196,197,197,204,219,176,146,129,110,180,205,201,201,200,200,198,196,193,160,168,173,176,181,185,190,195,197,199,202,206,185,174,232,208,130,183,130,171,211,203,203,203,202,201,199,199,163,171,175,178,184,188,193,198,200,199,188,222,218,169,199,213,162,192,101,138,219,204,206,205,204,204,203,202,166,172,178,181,187,191,195,199,202,212,192,177,222,193,173,205,151,186,134,100,196,214,209,208,208,206,206,205,167,175,180,184,190,194,198,200,205,222,227,179,153,206,159,196,149,167,177,118,137,222,211,211,211,209,208,208,169,177,182,187,192,195,200,204,210,190,183,171,105,179,134,187,204,135,180,135,118,220,214,214,212,212,211,211,171,180,184,188,193,197,203,205,214,185,144,168,101,155,136,122,137,82,157,140,120,221,217,217,215,215,214,212,174,181,186,191,195,199,205,206,214,214,176,153,127,131,187,122,53,80,186,147,115,219,219,219,217,216,216,216,175,183,187,192,197,201,205,208,217,212,155,116,101,87,145,113,75,134,210,151,102,204,224,219,219,218,217,217,176,184,189,193,198,203,207,210,216,213,177,139,112,88,89,121,158,186,188,143,101,197,229,221,222,221,219,218,179,186,191,195,200,204,209,210,218,227,192,143,119,119,129,196,233,213,165,124,109,213,228,224,224,222,222,221,179,186,192,196,201,207,211,211,217,228,201,159,141,141,147,224,233,195,157,108,121,228,225,225,225,224,223,221,180,188,193,197,203,207,210,213,217,225,209,175,150,137,157,224,222,180,147,102,143,237,226,227,227,226,224,223,180,186,192,198,202,206,210,215,217,219,208,177,157,154,155,219,215,170,133,96,172,237,227,229,228,228,226,224,181,187,193,198,203,206,210,213,216,215,207,183,171,167,146,210,199,158,122,99,199,236,226,227,228,228,225,224,182,189,194,199,204,208,211,214,217,219,206,189,172,167,138,182,183,143,113,110,218,232,228,228,227,225,226,227,182,188,193,198,203,207,209,213,216,216,217,194,172,157,123,155,154,122,103,157,237,228,230,229,229,230,220,195,184,194,199,204,210,215,218,220,223,218,227,193,171,144,124,140,129,114,117,215,231,231,224,228,221,215,190,156,137,142,147,154,161,165,170,178,178,211,227,195,176,146,136,135,127,101,157,231,199,194,212,175,187,204,154,149,113,114,115,116,116,115,115,119,116,201,219,192,178,169,144,128,115,97,204,245,203,175,189,181,156,190,126,164,120,121,124,124,124,127,132,128,136,216,208,175,170,174,135,119,100,128,193,227,206,187,156,186,165,155,124,179
16,231,232,234,235,235,234,236,237,238,237,236,237,239,238,238,236,237,238,240,242,239,238,241,240,240,240,240,236,233,233,235,236,237,236,237,240,238,238,237,240,241,238,242,245,245,243,238,242,241,241,241,242,240,240,240,238,234,234,236,238,239,236,237,239,239,241,242,243,239,239,214,208,202,224,253,245,241,242,241,240,240,241,240,239,234,235,235,238,239,239,238,239,239,237,228,220,241,255,203,174,164,132,166,235,251,243,241,241,242,243,241,240,234,235,237,239,239,241,242,241,243,235,207,212,255,255,225,203,183,142,92,103,179,244,248,240,242,242,241,241,235,236,238,240,242,239,234,218,255,255,217,234,255,249,231,217,185,123,118,94,82,124,228,252,240,244,243,242,238,239,238,240,238,254,233,224,255,250,227,239,255,230,216,205,175,104,118,104,97,85,107,226,254,243,245,243,239,239,240,241,237,255,252,227,246,243,241,231,250,212,207,191,156,102,103,94,96,100,83,98,238,249,245,245,237,237,240,239,238,248,246,224,241,252,249,236,246,217,205,182,134,97,90,86,91,97,98,71,138,255,246,247,235,237,239,242,250,237,245,245,234,251,251,240,255,235,209,168,120,90,77,82,93,96,91,89,80,231,253,247,236,238,236,251,250,234,246,255,242,243,249,242,255,240,205,153,109,81,58,82,96,100,102,90,74,208,255,242,237,238,238,243,246,245,239,255,240,243,255,252,252,237,191,134,100,51,51,82,98,106,115,95,82,232,249,244,239,239,240,239,245,255,248,255,255,207,255,255,248,240,188,117,67,9,49,74,88,114,109,94,93,241,247,247,242,241,241,239,246,255,255,225,233,223,244,255,252,242,177,104,34,0,37,59,80,128,102,87,107,247,248,248,240,239,241,240,242,240,255,212,179,242,240,250,255,239,169,94,35,3,16,44,96,140,100,82,135,255,248,249,237,239,241,240,242,230,232,255,241,216,236,253,255,232,165,85,51,35,17,50,134,145,103,80,141,255,247,250,243,244,246,247,247,246,216,234,250,229,236,255,255,227,158,84,67,75,56,80,172,172,123,75,137,255,249,249,182,188,193,198,202,210,202,202,237,210,204,238,255,223,145,82,80,85,64,102,196,205,164,79,141,255,245,250,106,109,108,108,111,114,114,117,161,130,113,210,255,223,132,82,89,93,79,119,195,216,196,117,108,211,255,255,117,117,115,112,113,113,112,110,109,117,92,199,255,227,120,122,107,97,90,127,187,215,219,173,134,252,255,255,114,117,116,114,115,117,117,118,118,122,100,179,255,229,114,193,145,118,104,104,169,202,218,196,143,240,255,255,114,114,113,117,115,116,116,116,118,121,106,145,255,227,121,226,178,140,130,99,116,187,195,177,98,196,255,247,113,113,112,116,116,117,116,117,120,123,112,129,255,218,134,255,209,168,151,126,88,116,164,129,136,219,209,243,113,113,112,114,115,116,115,116,118,120,115,123,255,168,176,255,227,191,171,143,107,84,100,78,206,255,172,212,112,114,113,114,114,114,115,118,118,118,117,120,160,164,255,255,237,205,184,157,118,91,94,67,213,255,235,188,112,115,114,116,114,112,115,118,117,117,116,119,95,204,255,255,247,213,192,169,129,92,96,71,207,255,255,243,113,114,114,116,115,111,112,115,116,115,116,118,105,187,255,255,252,222,196,174,140,98,93,70,183,255,255,227,111,111,114,120,115,112,112,115,115,115,116,119,106,184,255,255,249,221,197,178,147,106,96,74,168,255,255,202
11,141,145,146,150,152,154,156,158,158,159,159,158,158,159,159,159,158,158,157,155,155,153,153,151,149,146,145,144,143,145,149,152,153,156,158,159,160,160,160,161,160,162,162,159,159,159,158,158,156,155,153,152,151,149,148,149,145,148,151,153,155,158,160,162,164,163,163,162,168,140,153,164,160,160,159,158,157,157,156,154,153,150,152,128,148,151,153,157,158,161,162,164,166,166,167,159,190,132,117,172,161,163,162,160,159,160,157,155,154,154,153,68,151,155,156,159,162,164,165,167,168,168,169,161,199,141,102,175,164,166,165,163,162,161,159,158,155,162,119,40,153,158,159,162,165,167,167,169,171,171,171,164,209,131,100,178,166,167,166,165,164,164,161,159,157,164,84,44,155,158,161,166,168,170,171,173,174,177,169,177,230,119,113,180,169,170,169,167,166,164,164,163,163,159,68,50,158,163,166,168,170,172,173,173,175,167,184,172,204,116,128,185,171,173,172,170,170,168,167,167,166,166,94,62,160,165,168,170,173,176,171,198,187,107,165,141,93,139,101,162,181,175,175,173,172,170,170,169,165,174,119,62,163,166,169,172,176,172,196,222,196,151,90,120,81,104,86,134,188,175,176,176,175,172,173,173,170,174,143,59,165,169,172,175,175,190,234,178,183,182,105,93,89,116,95,139,189,178,179,178,177,177,176,173,173,172,171,83,167,171,174,175,182,227,206,136,132,178,103,84,81,117,96,144,191,181,181,181,180,180,177,176,175,173,176,129,169,172,176,173,211,227,168,128,148,161,72,90,81,109,91,155,193,185,184,183,182,181,179,180,177,175,177,152,171,174,179,175,224,215,152,102,125,131,67,92,77,104,83,174,192,187,186,186,185,182,181,180,179,177,180,144,172,176,180,175,227,219,171,121,76,79,93,73,85,101,94,194,188,189,187,185,188,186,185,185,182,179,180,168,173,176,181,181,237,218,163,109,70,55,106,64,113,106,69,178,198,190,193,193,185,177,171,170,181,187,180,179,174,178,181,188,245,215,160,115,81,62,75,59,112,98,50,93,186,188,173,150,137,129,125,112,103,154,187,178,177,182,180,196,244,210,164,127,92,74,76,77,96,98,95,93,102,118,121,136,143,125,101,97,78,120,192,180,178,183,183,195,239,206,165,130,98,78,81,120,146,146,134,123,105,112,130,126,104,90,119,165,176,180,185,183,180,185,185,198,238,209,173,137,105,83,93,143,143,132,126,122,107,96,90,101,140,167,195,197,193,189,186,184,182,186,186,204,236,213,182,140,117,94,107,138,136,127,113,108,84,77,132,192,202,199,194,192,191,189,187,185,183,190,183,218,239,214,180,138,119,100,108,121,126,116,99,79,104,175,207,200,195,195,195,194,193,191,188,186,185,186,190,238,229,199,162,126,108,100,109,107,114,107,76,133,204,206,200,201,199,198,197,194,195,193,190,188,186,186,228,238,215,187,150,120,103,104,107,98,92,82,145,214,203,201,202,202,201,199,198,196,195,194,192,190,181,199,243,226,201,179,145,124,109,103,100,81,113,183,214,205,204,203,202,202,201,200,199,198,195,194,193,191,181,213,240,221,176,146,137,122,106,97,75,106,206,214,207,207,206,205,204,204,202,200,200,199,198,196,195,192,185,226,238,212,154,123,117,111,95,82,87,192,213,207,209,208,206,206,204,204,204,201,201,199,199,197,194,193,200,235,234,199,132,117,111,101,86,72,160,220,211,213,211,210,208,207,206,205,204,203,202,201,199,198,196,194
0,139,141,145,147,150,152,154,156,157,157,158,157,157,158,158,158,158,157,157,156,156,155,155,155,156,155,151,150,140,142,146,148,151,154,156,158,159,159,160,161,161,160,159,160,159,159,159,159,158,157,157,156,156,156,154,152,142,144,148,150,153,156,158,158,159,160,161,163,163,162,163,164,163,161,161,160,158,158,158,158,155,155,155,154,145,146,150,152,155,158,159,161,160,163,164,165,166,169,164,163,165,167,163,160,159,161,160,158,159,158,156,156,146,149,152,153,157,160,162,162,165,168,168,161,159,143,163,166,130,129,166,166,162,160,163,162,161,159,157,157,148,151,152,155,159,160,162,163,168,153,154,195,156,91,87,174,126,49,124,158,153,141,117,168,161,160,159,159,150,153,153,157,161,162,163,165,179,137,89,174,179,125,67,172,140,83,29,57,111,161,70,155,168,162,162,160,149,153,156,158,161,163,161,173,198,177,114,95,189,129,69,169,144,86,22,88,109,165,100,88,171,162,165,162,150,153,157,159,162,165,163,190,188,187,150,58,148,138,59,165,154,73,50,122,71,156,140,74,106,170,164,163,151,155,158,160,162,164,170,190,134,177,138,35,101,145,61,161,142,50,50,118,32,118,158,121,56,111,177,162,155,158,160,161,164,160,185,194,125,165,103,26,100,118,49,128,109,38,43,104,42,153,187,136,51,77,178,162,156,159,161,163,166,164,195,186,142,157,84,25,95,86,35,85,83,33,39,86,63,184,177,127,34,126,175,166,157,159,161,165,165,172,206,169,113,119,105,33,72,76,27,73,74,8,95,110,129,176,152,83,43,171,168,168,158,160,164,168,167,173,214,188,142,83,62,10,85,106,29,97,87,69,146,135,137,154,108,38,96,185,168,169,159,161,166,168,166,179,213,184,158,119,60,31,70,80,24,71,151,175,151,136,102,102,76,20,148,181,172,170,160,162,167,170,167,188,214,181,162,141,103,55,57,88,104,161,190,173,142,124,88,57,48,29,172,176,174,173,162,164,167,172,168,192,215,184,161,143,121,64,59,108,167,201,191,165,128,110,72,43,13,84,189,173,176,175,163,165,167,171,167,187,214,190,163,149,137,87,72,102,181,198,189,152,116,91,55,23,24,171,180,176,177,176,164,167,168,172,168,182,211,194,169,150,142,106,74,114,193,199,172,135,97,69,41,5,120,188,175,177,177,176,164,168,168,174,172,178,209,197,176,150,135,109,74,128,190,185,148,122,85,52,11,68,191,178,180,177,178,178,163,167,170,174,173,178,210,192,174,152,127,101,82,147,169,148,136,110,72,29,15,166,185,182,182,181,179,179,165,168,170,174,172,177,212,190,178,153,119,98,106,151,128,123,115,85,53,2,117,194,181,183,183,182,180,179,164,167,168,175,165,194,216,194,191,157,124,108,124,141,106,111,89,65,12,71,192,185,186,184,184,183,181,179,165,169,172,170,171,217,208,196,189,150,122,116,127,115,101,96,77,33,42,182,191,186,185,184,184,183,182,180,163,168,173,165,194,209,183,185,180,134,112,121,112,97,90,75,42,30,160,192,188,186,185,185,185,184,182,181,164,166,169,158,205,192,157,147,149,120,106,116,98,85,76,52,24,131,190,185,186,185,186,186,184,183,183,182,163,170,161,165,211,179,144,119,113,93,110,117,72,71,67,16,89,191,187,187,188,188,187,185,184,184,183,182,165,170,153,193,208,165,123,114,98,72,116,102,53,70,38,30,165,189,186,187,188,188,186,185,184,184,184,184
8,134,138,141,145,147,150,152,154,155,157,159,160,160,161,161,161,160,160,160,158,158,157,158,155,154,154,153,152,136,140,144,146,148,151,153,156,158,160,161,161,162,163,163,162,162,162,162,162,161,160,158,158,158,156,154,153,137,142,145,147,151,152,155,159,159,161,163,164,164,165,165,165,164,163,164,164,163,161,160,160,159,157,157,157,137,143,146,150,153,155,156,160,163,163,165,166,167,167,166,166,166,166,165,166,166,164,163,161,160,159,160,158,140,145,147,152,155,155,166,148,144,170,166,167,167,167,167,168,168,167,167,167,167,166,165,164,163,162,161,160,141,146,150,153,156,156,178,143,100,168,168,169,169,169,170,169,170,170,169,169,168,167,166,167,166,165,163,161,143,148,152,154,158,155,177,154,83,151,174,170,171,172,171,172,172,172,171,170,169,168,168,168,167,166,164,163,144,147,152,155,158,157,174,172,83,136,178,171,174,173,172,174,174,173,173,171,172,172,170,169,168,167,166,167,145,148,153,157,160,161,167,170,88,117,182,173,175,176,178,174,174,175,178,173,172,172,172,171,169,168,168,167,147,150,154,158,162,165,165,183,128,99,179,176,174,158,152,178,175,145,140,180,176,178,172,173,172,171,169,167,146,151,155,158,161,165,164,187,147,82,161,178,191,174,126,146,195,150,95,137,146,144,176,173,174,173,171,170,148,152,155,159,162,167,166,182,155,103,128,183,207,203,153,98,186,160,152,103,104,96,120,183,173,173,173,173,150,153,157,161,164,169,168,179,182,138,119,170,201,211,177,95,143,164,160,147,122,120,88,158,178,172,173,172,150,155,159,161,166,171,172,174,189,135,130,163,168,199,181,107,108,158,123,169,171,173,157,95,156,180,173,173,153,157,160,163,168,170,174,173,185,167,153,182,170,171,182,113,81,138,78,138,167,173,165,91,126,187,173,175,153,158,162,166,168,172,175,173,194,202,149,148,164,147,180,134,78,105,81,92,144,175,164,95,120,189,175,176,155,158,163,167,170,173,175,173,194,180,121,125,137,118,159,189,111,77,75,87,166,192,175,96,115,190,175,176,155,160,164,168,170,172,177,175,191,191,147,123,117,110,129,148,104,91,68,94,173,197,176,98,116,191,176,180,155,160,165,168,171,173,177,176,194,208,169,129,116,119,104,137,149,106,88,145,175,198,166,94,102,190,179,181,156,161,166,169,173,173,177,175,200,205,171,140,110,99,108,169,178,153,163,184,169,171,137,86,85,187,180,180,158,163,167,170,174,174,180,177,202,204,177,158,131,99,112,162,186,206,197,178,155,132,111,72,108,190,179,181,158,163,167,170,175,177,180,178,205,204,180,165,146,112,106,157,206,210,201,175,142,106,88,62,163,187,181,181,159,164,168,172,176,179,181,178,202,206,186,167,158,126,120,167,211,205,185,162,128,91,56,108,193,182,183,182,158,163,168,172,174,177,181,181,195,209,194,177,168,139,124,182,206,187,162,139,109,75,61,173,188,185,184,182,157,162,166,169,173,176,180,180,188,207,197,181,172,148,126,182,193,168,145,117,95,55,114,194,182,184,183,181,158,163,167,170,174,177,181,181,186,208,202,183,166,139,123,171,172,155,138,107,77,63,179,187,185,183,183,182,159,163,168,173,174,177,180,182,187,211,195,173,150,119,126,163,146,132,126,102,52,130,197,184,186,185,184,183,160,165,168,173,175,177,181,178,189,212,187,169,135,127,134,154,134,117,113,77,83,191,187,186,186,185,185,183
4,189,191,192,193,192,194,195,195,196,197,197,197,197,197,197,198,198,197,196,195,196,197,197,196,197,196,195,194,190,191,193,193,194,196,197,197,198,197,198,198,198,198,198,198,198,198,196,198,197,196,197,197,197,197,197,196,191,192,194,194,194,197,198,198,199,198,198,198,199,200,199,197,198,200,199,198,199,199,199,199,199,198,198,198,193,193,195,197,197,198,199,198,199,199,200,198,197,198,198,203,202,200,199,202,201,201,200,201,201,200,199,198,194,195,197,197,198,199,199,199,200,199,198,203,223,226,205,202,232,221,182,186,201,199,205,203,202,202,200,198,195,196,197,198,198,199,200,202,199,206,219,219,202,229,212,155,189,212,173,136,199,192,179,205,202,202,200,201,197,198,198,199,199,201,202,199,209,236,237,207,146,181,197,143,148,192,145,147,229,191,133,185,207,202,203,202,198,199,200,202,202,202,203,199,227,234,233,206,142,161,207,137,116,200,156,200,229,182,125,184,210,204,205,204,198,200,201,203,204,202,205,199,230,223,210,220,180,136,207,146,135,204,213,235,220,207,142,188,211,206,206,204,200,201,202,204,204,203,206,200,231,223,199,198,164,96,155,217,207,209,219,208,210,225,182,175,213,205,205,206,200,202,203,205,206,204,205,207,236,231,207,178,145,114,105,185,184,188,196,175,218,235,217,165,200,211,207,208,201,203,204,206,207,207,204,215,237,224,189,165,156,142,132,135,135,156,154,136,231,237,230,186,168,216,207,208,203,204,205,207,206,210,206,219,237,226,193,162,142,137,144,149,133,157,135,164,233,234,226,197,150,204,211,209,204,205,206,207,208,210,205,225,237,228,197,165,147,140,148,158,164,186,196,236,234,225,207,182,145,184,218,210,205,205,207,209,210,210,206,228,237,229,205,177,152,144,153,171,176,202,234,236,231,220,193,164,141,185,217,209,206,208,209,210,210,212,208,228,237,230,214,191,157,144,152,171,196,229,237,235,229,212,183,154,140,203,214,211,206,209,210,211,211,212,208,228,237,232,221,196,171,157,156,181,225,237,236,235,221,200,172,143,152,217,213,213,207,209,210,210,212,213,208,228,237,235,227,203,192,169,174,198,232,236,236,229,212,186,160,134,175,223,212,214,209,209,210,211,213,214,210,224,237,236,231,210,202,191,183,200,223,237,231,218,198,173,147,132,201,220,214,215,209,210,211,211,212,213,214,222,237,236,235,219,209,200,184,185,214,237,217,205,188,160,137,146,220,216,216,215,210,211,212,215,217,218,215,214,235,235,232,220,210,194,187,183,202,227,201,187,176,151,125,179,225,216,217,216,212,212,214,204,188,175,161,151,152,151,140,132,127,130,136,144,165,188,187,181,166,140,127,214,222,219,219,218,211,216,178,159,149,145,140,136,128,119,110,100,93,90,78,74,86,93,104,124,145,121,159,227,218,219,218,217,212,217,162,148,151,147,142,139,128,121,110,101,98,92,79,79,84,80,71,67,77,95,209,226,219,219,219,218,212,221,179,143,147,143,140,136,121,112,106,98,96,88,81,81,85,78,72,72,70,60,127,229,219,220,220,220,213,221,193,145,147,140,140,131,121,110,105,98,94,87,81,82,83,75,69,67,69,71,50,183,231,219,223,222,215,220,201,150,144,143,141,131,118,111,103,96,92,88,81,81,79,74,68,66,68,66,71,207,227,221,222,222,214,220,206,147,143,146,135,126,116,109,101,94,89,86,82,80,77,72,67,65,72,52,146,237,220,223,223,222
7,207,206,207,207,207,207,206,206,205,205,204,202,202,201,199,198,198,196,194,192,191,190,187,186,184,182,179,178,208,208,208,208,208,209,208,208,207,207,206,206,204,203,203,201,200,199,198,195,193,193,192,189,187,185,181,180,209,209,209,210,211,210,210,210,209,209,209,208,207,206,204,202,202,201,199,197,195,194,193,191,188,188,185,183,210,212,211,211,213,212,212,213,211,211,210,210,208,208,205,203,205,203,203,204,201,199,197,192,191,190,186,185,213,213,214,214,214,214,215,215,214,212,210,210,210,212,211,211,207,202,195,185,184,181,191,198,194,192,189,187,214,215,214,214,214,214,214,214,214,215,216,217,211,198,188,173,169,166,144,138,186,179,156,197,195,194,192,189,216,216,216,216,216,218,220,221,218,208,195,179,165,154,130,142,143,132,130,129,155,141,151,208,198,195,193,190,216,217,217,218,219,210,196,180,173,162,152,143,146,138,121,122,116,104,111,94,84,119,150,150,186,199,194,193,217,217,220,211,181,154,144,146,149,154,152,145,134,111,115,108,107,111,112,107,106,97,86,109,127,198,197,194,219,223,209,181,170,141,129,140,130,124,120,118,122,130,144,136,102,115,123,102,98,83,77,99,102,193,200,196,220,201,182,183,171,138,118,108,105,117,131,149,156,151,139,123,86,90,90,68,69,71,79,101,157,204,199,197,190,175,181,179,167,159,149,151,152,159,163,148,142,131,120,92,68,77,104,132,160,179,198,209,209,202,201,198,173,176,179,174,172,168,151,141,131,133,129,111,106,103,98,112,147,187,215,221,220,215,210,207,205,203,201,199,177,182,177,177,178,158,119,87,97,95,80,67,57,99,208,225,226,223,215,213,212,210,208,208,207,203,200,199,184,182,179,174,153,136,88,67,75,59,51,51,51,43,105,224,216,217,217,216,215,212,209,209,208,205,200,198,181,183,174,150,141,127,97,87,65,53,54,51,53,38,94,218,219,216,216,215,213,209,209,208,206,202,204,207,183,181,162,148,138,135,141,138,86,55,58,60,45,101,218,219,219,216,215,214,212,208,206,204,204,209,191,149,185,174,149,136,131,135,146,126,70,54,51,34,81,223,223,220,220,217,216,215,212,210,212,215,203,170,90,54,174,146,121,121,119,119,120,86,58,47,45,45,71,228,218,220,216,215,214,213,219,215,189,146,97,61,55,49,146,129,126,129,122,109,98,82,74,55,57,38,123,228,218,221,227,225,224,222,165,106,76,57,52,53,55,45,134,137,135,130,108,82,84,102,91,58,45,125,235,228,229,216,170,156,155,118,70,63,51,53,53,54,55,42,136,127,110,89,76,80,97,106,73,51,86,162,163,150,136,91,54,55,47,53,50,58,56,34,44,52,55,41,118,96,88,87,88,89,84,65,58,95,108,91,77,73,74,50,36,56,40,52,44,41,49,27,34,47,54,36,106,102,103,98,84,73,66,71,109,128,104,83,73,66,57,57,28,43,39,37,39,39,39,23,29,43,50,28,93,90,86,79,70,73,97,118,117,98,79,64,58,50,48,45,35,24,40,29,34,35,32,23,29,42,46,25,68,76,82,87,99,112,117,115,103,62,52,56,52,41,45,40,38,17,30,27,28,35,27,22,32,38,45,21,112,117,120,126,119,113,113,104,69,53,38,45,50,37,38,32,34,16,19,28,25,35,25,22,33,37,41,19,117,119,116,120,114,113,105,81,43,42,39,34,47,29,32,25,30,21,14,26,26,35,21,27,32,39,40,15
11,170,173,174,176,178,178,179,180,180,179,177,177,174,175,175,173,171,170,168,168,167,165,163,161,160,160,158,154,172,175,176,178,179,181,181,181,180,180,180,178,177,178,179,176,174,173,172,170,169,168,166,164,162,161,159,156,172,176,180,180,181,183,183,183,183,183,182,179,179,178,165,176,178,175,174,173,170,169,167,167,163,162,161,159,176,178,180,183,184,184,183,184,184,185,183,183,181,196,134,123,186,175,176,176,173,170,170,169,166,163,162,161,177,179,182,185,186,186,185,185,186,186,186,185,183,200,140,92,183,178,178,178,176,173,172,171,169,165,163,162,179,181,184,185,186,187,187,188,188,188,187,186,186,195,138,96,179,180,178,179,177,176,174,171,170,168,166,163,182,183,186,186,188,190,190,190,190,190,189,187,186,210,153,101,176,184,179,180,178,178,176,173,171,169,167,165,182,186,187,189,191,192,192,192,191,190,191,190,190,217,162,98,170,188,180,180,179,179,177,174,173,170,168,167,185,187,188,191,192,192,193,193,193,192,192,189,196,210,148,92,171,188,182,182,182,180,178,175,173,172,171,169,186,187,191,192,192,193,193,194,194,193,196,194,202,201,145,88,177,189,184,183,182,182,181,178,175,174,170,169,186,190,193,194,194,194,196,199,201,195,167,153,208,196,147,97,183,188,186,186,184,184,182,179,177,174,170,170,190,192,194,194,197,202,198,178,171,189,145,86,160,174,121,98,193,189,186,186,186,184,182,181,179,176,173,171,191,194,196,196,185,173,200,151,89,124,162,102,71,98,74,107,203,191,189,187,186,185,184,181,179,177,175,172,192,195,197,205,178,96,148,166,87,107,165,101,54,69,58,142,204,191,191,189,188,188,187,185,179,178,177,175,195,195,203,214,192,117,110,178,93,106,147,88,57,68,58,152,203,192,192,189,185,178,168,174,186,181,177,175,197,196,220,225,196,126,83,151,86,89,132,80,53,57,49,150,206,192,192,180,177,158,136,126,131,176,179,175,195,204,223,202,183,132,63,111,79,102,142,95,48,54,53,157,203,191,205,185,151,119,96,91,61,137,188,175,196,205,233,203,182,124,60,129,86,119,193,121,59,65,68,137,193,196,181,122,64,74,113,131,119,164,186,178,198,209,237,218,168,104,79,170,128,121,228,118,56,86,116,147,187,179,121,55,98,186,198,196,194,188,181,178,196,212,237,207,157,158,105,186,200,74,130,99,93,135,126,142,150,116,58,118,205,196,190,188,185,184,183,179,197,211,233,206,178,162,103,152,145,74,144,176,157,140,112,114,100,53,115,210,196,194,193,191,188,185,184,182,200,209,227,214,194,165,170,181,187,175,169,159,144,130,106,85,54,94,204,199,197,196,193,192,189,187,186,183,200,205,221,211,191,166,154,167,188,175,160,150,128,122,94,49,107,200,203,199,198,196,193,192,190,189,186,184,215,214,215,208,180,143,132,154,163,154,149,129,121,105,54,127,214,204,202,201,200,197,194,192,192,190,186,185,78,144,208,186,157,126,149,159,154,142,129,116,86,63,144,217,203,202,202,200,200,197,195,193,191,189,186,185,29,47,171,187,179,177,164,149,144,119,92,52,97,184,215,205,205,203,201,200,199,197,195,193,190,187,185,183,55,49,61,137,176,170,149,134,123,94,48,90,221,214,206,206,206,204,202,201,199,198,196,193,193,189,186,186,45,47,41,47,92,113,120,112,90,61,38,181,218,207,209,208,207,205,204,202,199,199,196,194,193,189,188,176
20,140,142,143,143,144,143,143,144,144,143,143,143,142,144,143,139,138,137,135,134,132,130,129,127,125,124,123,121,145,146,147,147,148,147,146,147,148,147,147,146,151,134,131,145,140,140,139,137,135,134,132,130,128,127,125,124,148,150,150,150,150,150,150,150,150,151,151,149,166,132,92,150,146,142,142,140,139,138,135,133,132,130,129,127,153,154,154,154,154,155,155,154,154,154,155,152,162,143,72,83,119,151,144,144,142,140,138,136,135,133,131,128,157,157,158,158,159,159,159,158,158,158,159,156,168,140,58,91,83,142,151,147,145,144,142,140,139,136,134,132,159,160,162,162,162,163,163,162,162,163,162,160,173,129,55,134,91,119,160,151,149,148,146,143,142,140,139,135,163,163,165,165,165,166,165,165,165,166,166,163,179,135,66,148,95,101,164,154,153,150,150,147,145,143,141,140,167,167,168,168,168,169,169,169,169,169,168,167,186,130,68,152,118,96,165,157,157,155,154,151,147,147,144,144,169,170,170,170,171,171,171,171,171,172,171,176,187,107,71,163,128,88,165,160,159,158,157,155,151,150,147,147,171,173,174,173,175,174,174,174,175,174,164,178,191,106,92,178,122,79,165,165,162,160,159,157,155,152,151,147,176,177,177,177,178,177,177,177,177,176,156,144,159,121,90,169,128,79,166,166,164,163,162,159,157,155,158,130,178,179,179,179,180,179,179,180,178,181,193,177,136,109,84,152,143,90,162,169,167,165,164,163,160,157,158,143,181,181,182,183,182,182,182,182,184,173,150,177,145,148,92,123,134,87,158,175,169,169,166,165,162,161,160,148,184,183,183,183,183,185,185,185,183,188,130,99,155,164,81,66,92,72,152,180,171,171,169,167,164,162,161,151,186,184,184,184,184,186,186,186,185,194,136,43,143,160,107,63,60,54,142,183,173,172,171,170,165,163,161,160,186,186,186,185,185,187,186,188,187,187,139,76,101,149,137,94,88,42,129,187,174,173,172,171,168,165,164,162,188,188,188,188,189,189,189,190,181,179,147,119,67,77,134,119,99,41,108,192,176,176,175,172,170,168,165,163,190,190,191,191,191,190,192,186,181,165,162,148,100,74,100,125,105,53,86,193,179,178,177,175,173,170,166,163,191,191,191,191,191,192,190,182,163,113,124,152,125,75,76,119,141,87,60,178,184,179,178,177,174,172,169,166,193,193,193,193,193,195,190,181,172,127,56,105,121,58,58,100,152,123,53,119,195,179,180,178,175,173,170,168,194,195,195,195,195,197,193,180,160,132,87,60,96,65,60,143,168,147,69,79,194,182,182,181,177,175,173,171,195,196,197,196,197,197,195,178,176,162,96,68,99,90,110,184,170,131,59,94,197,182,182,181,178,177,175,173,197,197,198,198,198,200,199,176,180,166,110,87,107,169,190,180,147,115,41,131,197,183,183,181,179,178,175,172,199,199,199,199,200,201,200,176,172,161,127,88,109,192,189,161,124,99,46,166,193,184,185,184,181,179,176,173,198,198,198,199,199,201,202,175,157,153,128,92,106,178,169,144,110,75,63,190,189,186,185,184,181,179,183,182,198,199,199,199,200,200,202,184,157,153,129,108,109,176,165,131,95,48,99,202,185,185,183,181,187,183,161,123,200,200,200,200,201,200,202,197,161,152,137,116,99,162,151,111,73,41,162,196,187,187,189,182,156,94,45,40,200,201,201,201,202,203,203,199,172,155,137,113,93,126,116,81,41,80,200,189,189,182,144,89,45,30,25,35
24,140,145,150,154,157,160,163,166,168,170,173,176,177,178,179,181,181,182,182,182,183,184,184,184,184,184,183,183,142,147,152,155,158,161,164,167,170,172,175,177,179,181,182,182,182,183,183,184,185,185,186,187,186,186,185,185,143,149,153,159,160,163,165,168,171,174,177,178,180,182,183,183,184,186,186,186,187,187,188,189,188,187,188,188,144,150,156,148,162,165,167,170,172,176,178,180,182,184,185,186,187,188,188,188,189,188,189,189,189,189,190,189,145,153,160,112,142,170,168,172,175,177,179,182,183,185,187,188,188,188,189,190,190,189,190,190,190,190,190,190,146,154,154,107,106,174,169,174,176,178,181,182,183,186,189,189,188,190,190,192,192,190,192,193,192,192,193,192,148,154,160,123,88,161,173,173,178,180,181,185,188,190,190,193,193,190,193,193,193,193,193,194,194,194,193,193,149,154,163,137,85,138,179,175,178,181,186,184,173,184,194,174,183,196,192,194,195,194,193,194,195,195,193,195,151,157,164,151,105,105,178,174,146,135,175,182,146,116,155,162,126,173,199,194,195,195,195,195,195,188,172,140,151,158,162,169,129,86,149,170,151,139,143,190,164,114,136,174,123,114,202,195,195,196,196,196,189,172,134,116,153,157,162,170,145,110,114,160,185,168,137,180,175,130,153,175,122,97,190,200,198,198,196,192,178,141,118,190,153,159,163,166,165,138,113,105,184,178,135,162,181,130,149,176,123,84,172,205,198,199,193,189,163,108,162,208,154,160,164,167,174,145,122,123,148,188,149,142,185,135,136,181,139,80,160,208,200,190,191,184,133,104,199,201,156,161,165,170,174,160,168,155,131,166,153,110,168,132,115,180,153,83,129,209,179,176,188,159,101,165,207,200,156,162,166,170,171,181,180,132,107,125,145,90,140,131,105,208,180,79,80,137,154,174,164,110,137,210,200,203,155,161,166,170,172,179,169,138,119,117,135,112,129,140,104,135,120,83,120,147,156,153,123,109,198,204,203,204,156,162,165,169,172,175,190,173,136,123,120,131,109,161,127,109,161,170,175,162,135,124,94,159,210,200,204,203,156,162,166,168,172,175,190,183,159,142,123,114,118,153,172,198,196,184,171,153,122,103,112,201,202,202,203,203,156,161,166,169,173,176,189,190,180,154,126,107,140,178,200,193,186,173,160,140,114,97,178,207,202,205,205,204,157,162,166,169,174,176,189,196,188,154,125,122,156,186,197,191,180,162,143,128,96,147,210,202,204,205,205,205,156,161,166,170,174,176,183,192,195,161,145,150,152,186,193,190,173,155,135,111,106,200,204,202,204,205,205,205,153,159,164,168,173,177,180,187,190,169,151,158,139,171,184,178,164,151,125,97,164,214,205,206,205,207,208,207,115,117,118,121,124,129,129,159,186,167,154,151,124,145,167,154,147,132,109,115,184,185,188,191,193,196,200,201,107,107,108,110,109,110,106,120,188,172,146,137,115,138,162,145,128,114,102,111,115,116,119,120,121,125,125,125,111,112,115,115,116,116,118,113,177,164,137,128,124,141,159,138,116,100,101,118,118,118,118,120,115,113,120,132,110,110,112,112,112,114,115,112,181,161,146,141,141,142,148,129,105,94,107,120,120,119,120,123,139,172,179,168,111,112,114,113,113,115,114,117,192,175,163,159,146,135,142,119,100,92,113,121,120,121,116,138,195,187,201,178,112,113,114,114,114,115,114,121,187,175,171,163,135,127,135,110,100,90,113,121,120,120,119,183,212,182,170,200
7,175,178,180,181,183,183,186,186,186,186,186,186,186,186,185,185,185,184,185,183,182,181,180,179,178,177,176,175,177,180,181,182,184,184,187,187,187,188,188,187,187,187,187,186,186,184,184,185,184,182,181,180,179,179,178,178,179,181,183,184,187,187,188,189,190,191,190,189,189,189,189,188,187,187,186,186,184,184,183,181,180,180,179,179,180,182,184,186,187,189,191,191,191,191,191,191,192,191,190,188,188,188,187,186,186,185,183,183,182,181,180,180,182,184,187,188,189,191,193,193,193,194,193,193,193,192,192,190,190,188,188,187,186,186,185,184,184,182,182,181,184,186,189,190,192,194,195,196,196,195,195,194,193,194,194,193,192,191,190,190,188,187,187,185,185,184,183,181,186,188,191,191,194,197,198,200,199,198,198,198,198,199,198,197,196,195,194,194,192,190,189,187,187,186,184,183,186,188,192,194,195,192,179,173,182,186,181,171,172,172,178,179,176,173,176,166,167,183,186,188,189,187,185,185,188,191,194,194,192,177,148,125,126,138,148,140,133,122,138,154,154,140,149,128,151,186,162,188,191,188,186,185,190,192,190,188,180,169,159,146,119,104,121,129,131,117,123,140,139,135,131,127,137,162,148,188,193,190,188,186,188,184,177,171,172,176,176,154,105,90,105,117,110,88,97,93,100,108,103,101,107,115,153,191,178,188,190,187,179,175,174,174,166,158,167,138,85,93,105,122,121,108,94,103,135,153,143,127,135,139,173,206,148,176,193,190,177,173,170,163,154,149,152,144,104,79,83,101,108,118,113,102,134,153,145,134,134,134,126,142,140,190,194,192,176,167,161,157,155,154,154,155,127,79,55,56,72,91,96,94,109,108,110,104,109,120,134,159,191,197,194,193,169,162,157,153,152,151,152,143,114,78,56,65,135,117,113,120,134,148,158,171,190,199,201,202,199,197,195,194,162,154,148,146,140,139,137,128,105,72,60,56,165,216,206,208,211,211,209,206,205,203,202,201,200,199,197,195,157,152,147,146,145,143,141,136,116,74,58,61,87,215,211,211,210,209,207,205,204,204,203,201,200,200,198,195,157,154,148,148,144,144,147,147,119,75,63,62,62,199,214,211,210,209,208,207,206,206,205,202,201,201,199,198,163,164,159,149,141,131,135,132,108,82,74,66,53,164,219,212,210,209,209,208,208,207,206,204,203,201,200,199,164,163,160,147,138,127,120,113,94,85,84,73,57,89,219,214,213,211,211,209,208,207,207,205,204,203,201,199,157,153,142,127,118,109,103,94,84,80,85,73,56,110,219,215,213,212,211,209,208,208,206,206,205,203,201,200,140,136,118,98,88,85,88,69,66,76,80,100,156,198,215,213,212,211,210,209,208,208,207,206,206,203,201,200,97,107,98,81,103,147,192,163,129,136,171,206,220,216,215,214,214,213,211,210,209,208,207,206,206,205,201,200,27,36,36,116,211,216,216,219,220,219,220,219,216,216,217,215,215,214,213,212,211,209,208,207,206,205,203,202,7,7,17,186,217,214,215,215,216,217,217,217,218,216,216,215,215,214,214,213,211,209,208,208,206,206,203,202,14,1,98,217,213,214,215,216,218,219,218,218,219,217,216,216,216,214,214,213,210,209,209,208,208,207,206,205,23,14,188,215,213,215,216,218,219,219,220,220,219,218,217,216,216,216,215,215,213,211,211,211,204,198,188,175,27,20,180,199,197,198,200,200,201,201,200,200,200,200,198,197,195,195,195,194,192,190,177,139,99,82,64,50
8,175,178,179,182,184,182,185,185,185,184,185,186,186,185,184,184,182,182,181,180,179,178,178,177,176,176,175,173,177,179,182,178,168,187,186,186,185,185,185,186,186,186,185,185,184,183,182,181,181,180,180,179,178,177,176,174,179,178,188,178,126,179,189,187,186,187,187,187,188,187,186,186,185,184,184,184,182,182,182,180,180,178,177,176,180,180,191,190,117,158,195,188,190,189,188,189,188,188,188,187,186,185,185,184,183,183,183,180,180,179,178,178,180,182,188,202,121,144,198,189,192,190,189,189,190,189,188,187,186,186,186,185,185,183,183,182,182,181,180,180,181,185,186,195,126,133,200,191,193,193,195,190,192,194,192,189,188,188,187,186,186,184,185,184,183,182,181,180,183,186,186,201,159,122,196,194,191,180,180,195,188,172,182,195,193,191,188,189,187,186,186,186,185,185,183,181,184,186,185,204,174,110,183,196,207,187,144,174,204,152,129,183,178,189,193,188,190,188,187,187,187,185,183,182,185,188,187,199,181,127,153,202,220,217,168,125,200,170,166,130,129,131,188,194,189,191,188,189,188,185,184,182,188,190,190,198,204,158,141,192,214,222,192,118,161,175,181,166,152,137,148,188,191,191,190,191,189,186,185,185,189,191,191,194,208,156,152,182,186,213,196,127,129,167,147,191,193,195,163,122,189,192,190,190,190,188,185,184,189,192,193,194,205,190,170,195,183,187,198,127,107,149,102,165,182,194,172,108,177,196,190,191,191,190,188,186,190,193,196,194,215,212,161,163,180,163,197,158,104,127,103,131,179,199,175,109,176,198,191,191,192,192,190,187,192,194,196,194,212,191,144,144,153,137,179,196,122,106,95,141,199,210,179,109,177,199,192,193,193,193,192,189,193,195,197,194,212,211,171,143,136,130,145,157,127,114,90,153,203,210,177,109,178,200,194,195,195,194,192,189,193,196,198,195,216,217,184,151,132,132,128,171,170,130,148,186,199,201,161,101,168,204,195,195,195,194,192,190,193,196,198,196,220,215,189,165,134,118,141,190,189,191,200,192,177,169,137,95,158,206,196,196,195,196,194,191,192,196,199,198,223,215,193,177,154,121,136,183,212,218,208,186,158,137,119,96,184,202,197,196,195,195,193,191,194,197,199,200,224,216,197,180,165,135,134,192,223,218,203,178,143,119,92,132,208,198,198,198,196,195,193,192,196,198,201,200,220,219,203,187,175,147,146,205,220,208,182,161,128,101,94,193,202,199,199,198,198,197,195,193,197,198,203,201,215,222,207,192,184,154,150,210,208,187,162,139,117,83,150,211,199,201,201,199,199,198,196,195,196,199,201,202,211,223,212,195,181,153,154,199,196,176,153,127,101,101,201,202,202,201,200,199,199,198,197,195,195,197,200,201,211,226,210,191,169,139,159,185,169,163,148,121,82,162,210,199,201,201,200,198,197,197,196,194,197,199,203,197,215,222,201,182,157,147,163,173,152,145,142,95,113,208,201,202,202,202,199,198,199,196,195,194,197,199,203,196,225,219,202,186,166,161,166,162,145,138,119,95,189,207,202,202,202,202,200,199,197,195,202,199,197,199,198,205,228,214,204,189,169,171,164,143,137,125,91,158,211,202,203,202,201,201,200,202,205,202,168,119,197,201,193,212,220,196,189,179,166,167,154,128,127,100,119,207,204,205,203,203,205,207,205,186,153,110,70,57,197,201,190,219,215,184,166,159,156,167,148,114,123,87,172,211,204,205,203,196,181,166,132,88,57,46,51,55
6,189,190,190,189,189,190,190,190,190,189,188,187,187,186,186,186,185,184,183,182,181,180,180,179,178,177,175,174,191,191,191,191,191,191,191,191,191,189,189,189,188,188,187,186,186,185,184,183,182,181,181,180,179,178,177,175,193,193,193,193,193,193,192,192,192,191,191,191,190,189,188,187,187,187,186,185,184,183,182,181,180,179,178,176,194,195,195,195,194,194,194,194,193,193,193,192,191,190,189,189,189,187,186,185,185,184,183,181,180,179,178,177,195,196,197,196,196,196,196,195,194,194,194,193,193,192,191,191,190,189,188,187,186,185,184,182,181,180,179,179,196,198,199,198,199,199,198,197,196,196,195,195,194,193,193,193,192,190,189,188,188,186,185,184,183,181,180,179,198,199,200,201,201,200,199,199,198,197,196,196,195,195,195,194,193,192,191,190,189,187,185,184,184,182,181,180,199,201,201,201,201,201,201,200,199,198,197,197,195,193,192,191,189,188,187,185,182,179,172,173,181,180,181,181,201,202,203,203,202,202,200,197,192,183,178,179,179,175,169,163,159,164,168,167,161,158,148,157,179,170,172,181,202,204,205,205,202,199,190,180,172,160,150,142,140,152,151,142,133,141,154,156,148,142,137,143,160,153,168,183,204,205,205,201,192,181,166,159,160,158,151,128,101,114,129,127,114,123,130,131,124,118,119,128,144,161,179,184,203,199,191,180,170,162,154,149,153,157,146,111,78,70,81,89,95,111,123,133,138,147,156,166,176,184,186,186,190,182,172,164,157,152,148,143,146,150,140,107,72,60,76,107,133,158,176,183,186,190,192,192,191,190,188,187,183,176,167,159,153,151,149,145,146,148,145,122,81,63,110,174,192,198,199,198,197,197,196,195,193,191,190,188,185,176,167,159,154,152,151,148,147,149,147,125,84,62,94,179,203,202,201,200,199,198,198,195,194,193,191,190,177,171,166,159,155,153,152,151,150,150,147,129,88,63,71,150,201,204,203,202,200,199,198,197,195,194,192,191,172,167,163,159,157,155,153,153,152,154,151,134,94,64,61,116,194,205,204,202,201,200,199,198,196,194,193,192,173,161,157,159,162,160,154,148,145,145,141,123,91,66,58,93,185,206,204,203,202,201,200,199,197,195,194,193,166,154,154,161,164,162,152,145,139,137,128,108,87,69,63,113,192,207,205,204,204,203,202,200,198,196,195,194,143,142,151,158,157,153,145,136,129,129,118,97,86,75,75,156,205,207,206,205,205,204,203,201,199,198,196,194,105,117,134,146,144,135,126,116,109,103,92,84,84,79,79,167,207,207,206,206,205,204,202,201,199,197,196,194,58,73,94,116,119,111,102,94,86,72,63,72,85,81,77,163,207,208,207,206,204,203,202,201,199,197,195,194,40,34,39,59,74,79,79,78,73,62,61,77,88,89,103,178,208,208,207,206,205,204,202,201,199,197,195,194,40,29,15,19,28,61,105,122,110,89,84,101,121,152,178,203,209,208,207,207,206,205,203,202,201,199,196,195,39,33,14,11,28,119,191,202,191,169,157,167,188,205,210,211,210,209,207,207,206,205,204,202,201,200,198,196,38,34,15,13,66,179,216,217,216,213,211,211,213,213,212,211,210,209,208,208,207,205,204,202,201,197,194,192,40,30,13,33,133,208,217,216,217,216,215,215,214,214,213,212,210,209,209,206,202,198,193,185,174,152,133,130,39,22,11,73,187,216,217,216,216,216,215,215,213,213,213,212,211,210,205,186,162,147,132,115,95,70,52,49
14,182,186,189,192,193,195,197,198,199,201,200,202,202,201,201,201,201,200,200,200,199,198,197,196,195,195,193,192,184,188,191,193,195,197,198,199,201,202,203,204,204,203,203,202,204,205,204,200,199,200,200,198,197,197,195,195,186,190,192,195,197,198,199,201,203,205,204,204,205,204,205,204,186,190,202,203,203,200,199,199,198,197,197,197,186,191,195,196,198,200,202,204,204,204,205,206,206,205,204,193,185,173,178,171,192,209,199,198,199,198,198,198,188,192,196,197,199,202,204,205,206,206,207,208,205,217,217,208,200,185,160,143,140,166,203,205,199,200,199,199,189,193,197,199,201,203,205,206,207,208,210,206,214,232,206,183,216,193,163,126,113,112,128,188,207,199,200,199,190,194,198,201,202,204,205,207,208,210,209,215,229,227,187,116,161,151,182,147,98,119,96,101,185,207,200,201,191,195,199,201,203,206,207,208,210,211,211,227,212,176,147,111,99,116,189,171,118,116,118,98,108,205,204,203,192,196,200,202,205,206,208,210,211,215,224,235,194,138,109,94,93,93,156,184,140,121,136,122,102,162,212,202,192,196,201,203,206,207,210,212,211,223,237,235,202,163,127,110,102,94,99,146,156,120,128,118,125,119,198,207,194,197,201,204,206,209,211,212,215,230,240,224,183,152,126,107,107,100,149,196,212,192,147,122,123,107,157,212,195,199,202,205,207,210,212,211,220,240,236,195,147,117,108,102,94,130,222,217,212,217,217,159,124,128,148,212,196,201,204,206,209,211,214,208,228,240,225,204,165,120,102,89,113,215,222,212,215,214,212,150,158,124,153,217,197,202,205,208,210,212,213,214,240,234,215,207,168,133,105,82,90,126,192,221,212,223,186,148,162,118,128,218,199,203,205,208,211,216,208,231,243,226,213,208,162,137,97,87,93,93,107,197,228,196,134,146,154,122,102,191,200,204,207,209,212,213,216,244,233,214,219,204,165,140,96,91,103,111,110,120,151,127,137,153,141,121,97,180,200,204,209,211,215,210,230,244,231,219,220,197,168,135,97,104,121,122,123,119,107,124,140,151,139,104,151,216,201,205,209,212,213,215,244,242,232,218,208,196,164,124,101,118,133,134,132,131,123,124,142,135,113,159,219,214,202,206,210,213,212,225,248,238,225,210,199,190,153,125,110,128,136,138,135,130,128,124,125,113,175,223,215,215,203,207,211,214,212,239,246,232,217,205,191,177,147,127,120,131,141,137,134,123,128,110,106,188,227,215,217,217,204,208,211,214,215,247,241,226,213,197,183,171,146,132,121,130,142,133,128,120,109,136,200,227,219,219,218,217,205,209,213,214,223,252,237,220,207,193,176,162,152,129,120,126,133,131,122,106,176,228,226,221,222,221,219,217,206,210,214,213,238,249,232,209,187,181,172,161,136,121,122,122,126,113,109,182,234,223,222,223,222,220,220,219,206,210,211,225,249,239,223,195,193,185,158,137,117,122,125,109,117,145,204,232,223,225,224,223,222,221,221,220,208,215,208,227,243,231,219,201,192,165,151,134,122,120,111,154,213,233,232,226,227,226,224,223,222,222,221,221,202,205,196,228,239,231,214,200,178,149,144,128,122,102,155,242,234,229,229,228,227,226,226,225,223,223,222,221,112,73,141,243,233,225,209,190,162,139,136,124,112,115,217,232,229,231,230,228,228,227,227,226,225,224,223,221,103,75,123,219,231,218,205,181,148,132,127,119,96,172,237,229,230,230,230,229,229,228,228,226,225,224,223,222
23,108,111,115,126,138,150,158,161,165,171,178,183,187,190,192,195,199,201,204,204,203,203,204,204,206,205,203,203,108,111,117,128,140,151,160,164,167,174,181,185,189,191,193,196,202,203,204,206,206,206,206,206,207,205,205,205,109,113,117,130,142,153,161,166,168,175,181,187,191,193,196,199,202,204,207,207,208,209,209,208,209,208,207,207,109,112,117,131,143,154,163,167,169,176,183,189,192,196,200,201,204,206,209,209,209,209,209,210,209,209,209,208,111,114,117,131,144,156,164,169,173,179,185,191,193,196,200,202,205,208,208,209,210,209,210,210,210,210,210,207,110,114,120,133,146,157,164,169,174,180,186,192,195,199,202,204,207,209,210,211,214,213,212,211,211,211,210,210,110,113,120,134,146,159,167,169,174,182,188,193,197,201,204,206,209,209,213,213,210,212,209,213,216,211,209,211,111,114,121,135,148,160,168,172,175,184,190,195,199,202,206,209,209,213,213,209,241,252,223,214,209,212,213,211,110,114,122,137,148,160,169,172,176,185,192,198,201,204,208,210,213,212,218,255,255,234,229,202,136,206,217,214,111,114,122,137,150,163,170,174,179,187,194,198,202,207,209,213,212,224,255,254,210,137,170,180,183,219,216,216,111,114,123,138,152,164,172,174,180,188,195,201,204,207,210,215,209,255,255,166,112,186,222,222,226,220,218,217,111,113,123,139,153,166,173,176,181,189,196,202,207,210,214,215,217,255,255,210,225,213,206,225,222,222,220,219,111,114,123,140,153,165,174,177,183,191,197,204,210,209,212,214,244,255,255,255,255,175,164,238,222,223,223,221,110,115,125,140,154,168,176,178,185,192,198,208,205,223,249,255,255,227,254,242,227,154,127,207,223,226,225,223,111,116,127,142,156,170,177,181,187,193,202,203,227,255,255,255,255,238,255,255,237,151,112,172,201,234,225,226,112,115,127,143,157,170,179,183,189,197,201,217,255,245,235,242,242,218,244,255,218,138,101,131,149,241,229,228,112,115,126,143,159,171,181,183,189,199,197,255,255,255,252,254,239,224,223,182,161,138,96,134,113,174,237,229,112,115,127,143,158,172,181,184,190,199,204,255,255,255,223,225,243,238,225,162,134,147,85,130,135,124,212,237,112,114,127,145,158,173,182,184,190,198,208,255,255,249,193,158,171,195,199,145,143,144,77,126,137,145,226,235,112,114,128,145,160,175,182,183,190,198,212,255,255,213,150,125,89,207,198,134,153,117,100,140,134,185,243,234,111,114,130,146,160,174,183,186,195,198,215,255,255,207,154,107,117,208,171,138,124,82,121,148,152,235,239,239,111,114,129,146,161,176,183,186,196,197,226,255,255,203,159,119,108,121,122,100,91,101,122,136,190,250,239,240,108,111,129,146,159,174,181,183,194,194,236,255,255,201,159,116,77,85,92,106,128,129,128,135,225,244,240,240,107,109,127,144,160,175,183,185,196,196,249,255,251,203,159,127,101,116,132,139,147,138,125,182,248,242,242,241,105,110,126,143,159,175,184,186,197,197,247,255,242,198,163,134,114,121,145,150,150,131,148,246,245,244,244,243,103,108,124,143,160,174,184,186,196,197,249,255,230,200,170,142,128,123,147,153,153,124,196,255,243,245,245,243,99,104,121,140,159,174,182,185,195,197,255,255,234,219,186,154,137,125,145,152,140,154,245,248,246,245,244,244,102,107,121,139,155,170,178,183,193,200,255,255,251,235,202,161,142,131,142,143,144,225,251,243,244,243,244,244
4,140,141,143,144,145,145,145,145,145,145,146,146,145,148,149,146,145,148,148,146,145,146,145,145,144,145,144,143,142,144,144,145,146,147,146,146,147,147,148,148,147,141,136,145,151,136,131,150,150,146,148,148,146,145,145,145,145,146,145,146,148,149,148,148,150,149,145,147,156,144,117,107,125,130,108,105,142,153,149,150,149,147,148,147,146,146,146,148,149,149,150,151,149,146,134,120,117,153,157,117,68,87,128,86,59,147,152,149,151,150,150,149,148,147,148,150,150,151,152,152,157,163,160,128,81,77,157,116,76,27,80,96,35,118,161,150,151,152,151,151,150,151,151,152,151,148,149,122,107,141,141,148,96,39,116,127,73,30,44,91,43,106,164,152,153,153,153,151,152,153,153,152,152,157,158,119,59,55,95,153,123,47,56,137,112,47,24,114,62,101,166,154,155,154,154,153,153,152,153,153,157,139,132,130,78,33,34,142,155,75,30,140,138,70,25,108,86,111,165,155,156,156,155,155,153,154,155,154,153,145,93,115,120,69,8,104,157,81,34,107,139,81,27,65,70,121,166,156,158,157,158,157,154,156,156,156,157,149,86,79,124,85,37,60,83,66,47,55,88,63,32,48,44,60,164,158,160,159,157,158,156,156,156,156,159,154,137,114,95,66,41,55,56,60,69,69,62,51,44,77,81,50,117,170,157,159,159,158,156,157,158,158,160,162,142,118,90,66,55,64,64,65,84,77,79,50,80,121,113,96,70,157,163,161,161,160,157,158,159,159,162,164,135,108,90,72,74,74,79,96,96,112,126,131,94,119,125,106,52,102,174,160,161,160,158,159,160,160,162,160,128,96,83,67,74,89,99,120,135,143,158,158,146,129,110,77,48,51,162,163,162,162,159,160,162,160,162,165,142,113,89,78,87,95,102,154,145,146,155,150,142,126,101,68,47,40,148,168,161,163,160,162,163,163,161,168,155,123,95,81,84,95,119,159,144,151,151,150,137,121,101,70,44,58,166,164,163,163,161,162,164,164,162,163,161,135,110,85,84,102,120,159,152,160,161,150,137,122,97,67,34,105,176,163,166,165,162,163,164,164,164,163,166,149,120,92,94,114,113,156,161,167,167,158,144,116,84,62,38,151,174,168,167,166,162,163,164,165,165,162,165,159,128,101,104,125,117,152,164,171,172,172,144,106,77,47,68,175,168,169,167,166,163,164,165,165,166,162,159,165,140,104,110,124,126,154,163,175,176,168,132,98,77,33,116,179,168,169,168,168,164,165,166,166,167,160,151,157,147,112,112,121,127,159,163,172,171,144,112,89,67,41,158,173,169,169,169,168,164,165,167,166,169,162,145,158,154,129,113,117,126,153,163,158,150,124,100,81,46,76,180,169,170,169,169,169,163,165,167,167,169,169,147,151,155,141,125,121,128,143,156,147,127,110,85,64,41,145,178,170,172,171,170,170,162,163,164,165,166,170,159,139,146,143,132,126,125,124,132,126,107,87,64,36,100,181,169,171,173,172,170,170,163,164,165,165,166,169,166,140,145,140,131,128,118,111,117,116,96,69,44,45,166,172,171,170,171,170,169,169,164,165,166,166,166,169,166,143,144,132,125,123,112,99,104,105,79,54,33,84,182,168,172,172,171,171,171,170,164,166,167,167,168,168,167,146,140,113,107,115,106,102,102,91,66,53,29,119,180,170,173,172,171,171,171,170,165,166,168,169,168,169,169,148,147,122,120,130,121,113,102,87,70,56,32,141,176,171,172,172,172,172,172,170
4,160,163,165,166,170,171,173,177,179,181,185,184,184,187,187,187,189,190,188,189,189,190,191,190,188,188,188,188,164,166,168,170,172,174,176,179,180,181,186,186,187,187,187,197,184,183,193,191,191,191,192,191,192,191,190,190,167,170,172,174,176,177,179,181,183,184,184,192,181,200,237,226,164,118,182,195,194,196,193,194,193,193,192,192,170,172,174,177,179,180,181,186,190,192,218,217,159,134,189,208,152,102,108,140,139,182,200,195,196,196,194,193,172,174,177,179,183,183,190,186,160,218,239,221,169,110,87,182,148,100,80,127,106,114,205,196,198,198,197,196,175,177,180,183,184,185,232,217,158,164,167,221,173,127,71,132,171,127,81,144,143,104,198,200,200,199,198,199,177,180,183,186,182,215,223,214,211,182,122,175,199,148,49,135,204,156,119,135,156,128,188,206,201,202,201,201,181,184,186,186,191,234,204,162,166,143,90,109,203,139,58,175,199,149,112,104,121,117,145,213,202,204,203,203,182,186,190,190,193,240,226,187,168,161,150,101,146,116,85,139,162,133,117,118,113,108,122,187,212,204,204,204,185,188,191,194,191,226,224,207,182,159,150,121,111,131,124,135,160,141,141,123,95,131,134,132,215,207,208,205,186,191,193,197,194,220,224,198,171,143,125,114,120,141,143,160,171,161,152,126,129,169,163,119,173,218,208,209,188,193,195,199,196,227,228,200,176,142,122,114,124,134,151,168,184,188,206,222,208,191,173,152,122,207,212,211,191,194,197,202,198,229,237,208,181,147,123,120,126,139,162,196,188,216,226,217,206,187,157,132,97,166,223,211,192,198,199,202,200,224,241,211,191,163,129,120,122,141,179,197,190,215,211,204,190,171,147,124,100,123,221,215,193,199,201,205,204,225,243,218,200,173,142,125,127,142,187,200,209,217,219,204,182,165,145,120,105,109,215,218,196,201,203,207,206,227,246,224,208,180,153,138,138,140,180,207,219,221,216,206,180,158,134,116,96,129,227,218,198,203,205,208,207,223,245,230,216,187,161,155,150,143,176,210,221,220,217,205,174,147,123,113,91,181,231,220,200,204,207,210,210,219,241,236,226,197,173,167,161,151,184,206,219,221,218,199,168,138,120,105,105,222,225,224,201,205,209,211,211,216,235,239,232,208,185,176,168,156,190,206,210,221,210,185,157,134,121,91,147,237,223,226,204,208,211,213,217,213,228,239,233,212,195,183,171,162,183,212,210,209,193,168,146,128,118,91,199,234,226,228,208,212,211,214,219,218,217,234,226,213,196,186,176,161,160,201,206,191,175,152,136,127,106,117,235,228,230,229,209,212,214,217,219,222,211,229,230,217,195,186,179,161,145,188,204,189,166,142,124,128,92,178,240,227,230,230,212,214,217,219,222,227,212,229,237,219,197,186,182,166,146,177,195,180,156,131,121,96,135,237,230,232,231,231,214,216,218,221,224,228,215,233,236,211,188,182,182,162,144,170,182,167,136,123,96,129,230,235,232,232,230,233,215,218,221,224,225,228,220,236,231,203,184,187,184,168,147,160,165,152,123,105,109,226,238,231,234,240,244,233,215,219,222,223,226,231,214,232,238,206,196,199,191,180,152,148,147,142,119,88,186,243,230,241,242,213,160,116,218,221,224,225,227,234,217,233,244,211,207,217,194,183,151,136,136,140,106,105,228,233,244,207,129,85,71,68,220,222,224,227,228,237,182,229,248,227,227,225,195,182,150,132,137,141,94,136,243,239,187,95,79,61,63,58
23,168,168,169,169,171,171,171,171,171,172,173,173,172,172,172,172,172,172,171,172,171,169,169,169,168,167,165,163,171,172,172,174,174,175,176,177,176,177,177,176,176,176,176,175,176,177,175,175,174,173,172,171,170,170,169,166,176,177,178,179,179,180,181,181,182,182,180,179,180,179,177,183,183,180,179,178,178,178,175,175,174,173,172,170,181,180,181,184,183,183,185,186,185,184,193,182,184,189,184,151,174,191,182,182,183,181,179,179,178,176,176,175,185,185,185,187,187,187,189,191,186,193,228,198,186,206,190,152,115,171,194,186,186,185,184,182,181,180,179,178,189,189,189,191,191,190,193,195,189,216,215,180,110,131,120,149,150,129,156,194,189,188,188,186,186,185,183,181,192,192,193,195,194,195,196,196,198,225,205,164,93,168,177,159,127,106,118,198,192,191,192,191,189,188,187,185,195,196,196,196,198,199,199,197,211,210,209,141,156,210,161,195,188,174,192,201,196,195,195,195,193,192,191,189,198,200,199,201,202,202,205,202,213,205,210,216,223,196,108,154,223,204,204,202,201,200,197,197,197,195,194,193,201,203,203,203,205,197,184,190,195,205,208,205,199,188,109,93,185,208,203,204,204,203,201,201,198,196,196,196,204,206,205,207,203,179,150,161,172,175,171,170,164,149,109,44,59,179,215,205,206,204,203,204,203,201,199,198,206,207,207,206,210,200,196,184,190,181,166,160,139,79,71,46,35,153,223,207,210,208,207,206,206,205,203,202,208,209,211,206,206,212,210,199,174,122,118,125,121,65,67,44,52,197,217,211,212,212,210,210,208,206,205,204,211,212,214,210,193,196,217,198,121,89,40,96,136,65,69,44,96,227,214,216,215,214,213,212,211,210,207,206,213,213,217,215,193,188,223,193,103,49,29,127,142,72,64,27,117,234,215,218,217,215,215,214,213,213,210,207,214,215,218,217,194,185,225,201,131,56,56,114,82,62,47,32,96,230,218,220,219,219,218,217,216,214,213,213,218,218,220,220,191,188,235,206,132,81,32,25,21,31,40,49,89,228,221,220,220,220,219,219,217,216,215,214,219,218,221,218,183,204,240,205,136,99,44,18,36,44,54,55,112,235,222,221,223,222,221,219,219,219,218,217,220,222,224,218,185,207,229,206,146,104,77,54,71,71,72,59,128,240,222,225,223,223,222,220,221,220,220,219,223,226,226,226,190,196,210,188,134,105,93,64,78,78,77,60,155,241,224,227,226,225,224,223,222,221,220,219,226,227,229,229,195,186,191,171,141,135,100,69,78,78,77,68,203,239,228,228,229,228,227,226,225,222,222,220,227,227,229,232,202,191,190,170,148,135,96,74,79,87,67,111,241,232,231,229,230,230,229,228,226,225,223,221,227,228,230,232,208,206,189,167,138,112,88,78,82,84,75,206,242,232,233,232,231,230,229,228,228,226,225,224,229,229,231,229,213,221,196,174,151,114,84,75,77,77,193,246,235,235,235,235,234,232,230,229,229,228,227,226,229,229,234,227,215,221,193,178,158,106,74,74,61,164,254,236,238,236,237,236,235,235,234,231,231,229,228,227,229,232,237,229,213,198,179,164,135,80,66,68,79,230,240,239,239,237,237,237,236,236,235,233,233,230,229,228,232,234,236,225,214,181,165,160,149,77,71,65,118,248,239,242,239,238,239,239,238,237,237,235,234,233,231,230,231,234,234,222,226,185,162,178,180,85,76,65,137,255,239,242,241,240,240,239,238,238,237,236,235,236,231,221
20,135,136,137,137,138,137,137,138,138,137,137,137,136,138,137,134,133,132,131,129,128,126,125,124,122,121,120,118,138,140,140,140,141,140,140,140,141,140,140,140,143,130,127,138,134,135,134,132,131,129,128,126,124,123,122,121,141,143,143,143,143,143,143,143,143,143,144,142,156,128,94,143,140,137,136,135,133,132,131,129,128,126,125,124,146,146,147,146,146,147,147,146,147,147,147,145,153,137,77,87,117,143,138,137,136,135,133,131,130,129,127,124,149,149,150,150,150,150,150,150,150,150,150,148,158,135,65,93,87,136,144,141,139,138,136,135,133,131,129,127,151,152,153,153,153,154,154,153,153,154,153,151,162,125,63,130,94,116,152,143,142,141,140,137,136,135,133,130,154,154,155,156,155,156,155,155,156,156,156,154,167,130,73,141,96,101,155,146,146,143,143,141,139,137,135,135,157,157,158,158,158,159,159,159,158,159,158,157,173,126,74,145,116,97,156,149,149,147,147,144,141,141,138,137,159,159,160,160,160,160,160,160,160,161,161,164,174,107,76,154,124,91,155,152,150,150,149,147,144,143,141,140,161,162,163,162,163,163,163,163,164,163,154,166,177,106,94,166,119,83,156,155,153,152,150,149,147,145,144,140,165,165,166,166,166,166,165,165,166,165,148,138,151,118,92,159,124,83,156,156,155,154,153,151,149,147,149,126,166,167,167,168,168,168,167,168,167,169,179,166,131,109,88,144,137,92,153,159,157,156,155,154,151,149,150,137,169,169,169,171,170,170,170,169,171,163,142,166,139,141,94,121,129,90,149,164,159,159,157,155,153,152,151,141,171,171,171,171,171,172,172,172,171,175,126,100,147,154,85,72,94,78,145,168,161,160,159,157,154,153,152,144,173,172,171,172,172,173,173,173,173,180,131,53,137,151,107,69,67,62,137,171,162,161,161,159,156,154,152,152,173,173,173,173,173,174,173,174,174,174,133,81,102,142,132,96,91,52,125,174,163,162,162,161,158,155,154,153,175,175,174,175,175,176,176,176,169,167,140,116,73,81,130,117,100,51,107,178,165,165,163,161,160,158,155,153,177,177,177,177,177,177,178,173,169,155,153,141,101,79,101,122,105,62,89,179,167,167,165,164,162,159,156,154,178,178,178,177,178,178,176,169,154,112,121,145,122,80,80,117,135,90,67,166,172,167,167,165,163,161,159,156,179,179,179,179,179,180,177,169,161,123,64,105,118,66,65,101,145,121,62,117,180,168,168,166,164,162,160,158,180,181,180,180,180,182,179,168,151,127,90,68,97,71,67,137,158,140,75,83,180,170,170,169,166,164,162,160,180,182,182,182,182,182,181,166,164,153,97,74,100,92,110,171,160,127,66,95,182,170,170,169,167,165,164,162,182,183,183,183,183,185,184,165,168,156,109,90,106,159,176,168,141,113,51,127,182,170,171,169,167,166,164,162,184,184,184,184,185,186,185,164,161,152,124,90,108,178,176,152,121,100,56,156,179,172,172,172,169,167,165,162,183,183,184,184,184,185,187,164,149,145,125,94,106,166,159,138,109,79,70,176,175,173,172,172,168,167,170,170,184,184,184,184,185,185,187,171,149,145,125,107,108,165,156,127,97,57,100,187,172,172,171,169,174,171,152,120,185,185,185,185,185,185,187,182,152,144,132,114,100,153,144,110,78,51,153,182,174,174,176,170,148,96,55,50,185,186,186,186,187,187,188,184,161,147,132,112,95,123,115,85,52,84,185,176,176,169,138,91,55,42,38,47
11,181,183,185,187,188,189,190,192,192,193,193,193,193,195,195,196,195,194,194,194,193,192,192,192,190,188,187,187,182,185,187,188,189,191,192,193,194,194,194,196,199,189,197,198,197,196,196,196,194,194,193,193,193,192,189,188,185,187,189,191,191,193,194,195,196,197,196,204,208,158,193,200,198,197,198,198,198,197,196,195,195,194,192,191,187,188,191,193,193,194,196,198,199,199,198,217,206,141,189,200,199,199,200,200,200,199,199,198,197,195,194,193,188,190,193,194,195,196,198,200,200,200,203,235,192,139,194,201,201,201,201,201,201,201,200,199,198,197,196,194,191,193,194,196,196,198,199,201,202,200,217,241,167,148,201,201,202,203,203,202,202,202,202,201,200,198,198,197,193,194,195,197,199,200,200,202,203,202,236,233,150,172,205,204,204,205,206,204,203,203,203,203,202,200,200,198,194,196,198,200,201,201,202,204,202,216,248,210,141,189,207,207,207,207,207,206,205,206,206,204,203,202,201,200,195,197,199,201,202,203,205,205,209,241,242,176,143,204,209,208,208,208,208,208,207,207,207,206,205,203,202,202,196,198,200,202,204,206,206,205,225,254,228,142,162,211,209,209,209,210,210,210,209,209,208,207,207,206,204,203,199,201,202,204,205,207,208,208,238,255,212,132,191,211,210,210,209,210,211,211,211,210,209,208,207,207,206,205,201,202,204,206,207,209,209,217,250,253,205,177,216,191,206,212,211,212,212,213,214,212,210,210,209,208,208,207,201,203,205,207,209,209,208,232,255,254,246,234,204,149,187,214,213,213,214,214,214,213,212,211,210,209,209,208,202,204,207,208,209,213,224,248,254,254,248,203,148,131,172,215,214,215,216,215,215,214,213,213,213,211,210,208,203,205,208,213,231,244,251,254,254,240,217,180,130,126,156,214,215,216,216,217,217,216,214,214,214,214,211,209,204,207,208,232,254,254,254,254,251,211,150,147,128,129,143,211,217,217,218,218,217,217,216,215,215,214,213,211,205,207,214,247,252,250,254,253,238,191,138,128,128,130,138,206,219,219,219,218,218,218,218,217,216,215,214,214,207,208,227,253,253,253,247,227,197,196,155,127,124,128,140,207,220,220,221,220,218,219,218,218,217,216,216,215,209,210,241,254,252,235,202,165,145,201,175,134,120,127,153,214,221,221,222,221,220,221,220,219,219,217,216,216,209,219,251,254,238,192,146,109,104,199,183,132,130,175,207,223,225,223,221,218,217,220,221,220,219,217,217,217,209,232,254,247,219,175,135,101,143,195,141,109,136,200,216,212,200,180,162,154,154,168,204,221,221,220,219,219,213,246,254,240,200,153,118,96,130,140,93,91,92,110,134,139,141,138,133,136,133,125,136,196,223,221,221,220,227,253,251,223,172,129,103,92,94,96,92,95,99,99,111,130,143,151,148,147,141,129,117,151,221,219,220,220,247,254,244,202,158,123,97,90,91,95,102,108,114,118,134,146,151,154,156,163,179,182,166,182,222,220,220,216,254,254,233,187,148,116,91,92,101,114,124,127,129,133,146,150,170,197,215,221,225,226,225,223,223,223,222,181,255,250,217,173,140,111,92,109,124,136,142,142,138,135,153,190,223,228,229,228,227,227,226,227,226,211,173,126,254,239,200,162,132,110,101,127,141,143,144,146,137,172,213,227,228,228,229,229,228,228,227,226,197,144,114,101,249,225,183,151,130,111,107,131,140,141,141,137,167,224,229,229,229,229,229,230,230,230,229,199,137,116,105,96
21,165,168,170,171,171,172,173,173,173,173,173,167,167,172,170,169,167,165,165,164,162,159,158,157,156,154,153,151,166,169,171,172,173,174,174,175,175,175,176,151,128,167,173,171,169,168,167,167,165,162,160,159,157,156,155,153,167,170,173,174,175,176,177,177,177,177,176,156,115,137,175,173,172,171,169,169,167,165,159,146,156,158,156,155,168,171,173,175,177,178,179,180,179,179,178,166,129,103,169,175,174,173,171,171,169,167,154,108,132,162,159,157,170,173,175,177,178,179,180,181,181,181,181,175,142,93,150,179,175,175,174,173,170,168,145,96,126,164,160,159,172,175,177,178,179,180,181,182,182,183,184,181,159,112,125,180,178,177,176,175,172,168,136,91,139,165,162,161,173,176,179,180,181,182,183,183,183,185,186,184,173,126,105,174,180,179,177,177,174,163,122,92,155,165,163,161,175,178,180,181,183,184,185,185,185,186,187,186,182,135,95,160,182,179,178,178,175,156,114,105,166,166,165,163,177,180,181,182,183,186,187,187,187,188,188,187,185,150,103,143,184,181,180,178,168,140,98,126,170,168,167,165,178,181,182,184,184,185,186,187,187,189,190,188,182,167,123,124,183,182,181,179,159,124,84,151,172,169,167,165,179,180,183,185,185,186,187,188,188,190,191,190,186,180,148,116,166,185,183,179,157,113,98,169,172,171,169,166,179,181,183,186,187,188,189,189,190,191,192,192,189,184,172,138,125,157,169,161,139,98,131,176,173,172,170,168,180,182,184,187,188,189,190,192,192,193,193,192,185,144,140,146,118,117,119,124,99,85,158,177,174,173,171,170,181,183,185,188,189,190,191,193,194,194,194,193,181,131,101,129,125,121,125,123,80,96,177,178,175,174,173,171,181,184,186,188,189,191,193,194,194,194,194,192,166,146,112,109,124,110,115,113,80,101,180,179,176,175,174,172,182,185,187,189,190,193,194,195,195,195,194,172,133,144,119,93,106,76,102,127,95,81,168,179,177,176,175,173,183,186,188,191,192,194,195,196,196,196,193,168,124,125,116,74,81,64,94,135,111,75,130,181,178,177,175,173,184,187,189,192,193,195,195,196,197,197,192,170,127,107,100,61,79,87,137,150,133,84,89,177,178,177,176,174,184,188,191,193,194,196,197,197,199,198,188,160,128,98,87,59,88,127,166,154,127,82,83,176,179,178,176,175,185,188,191,193,195,196,197,198,199,198,187,171,148,109,79,69,112,165,162,139,112,70,96,181,180,179,177,175,186,188,191,193,195,196,197,198,198,198,187,175,156,120,97,98,157,176,152,125,106,66,117,184,181,180,178,175,187,189,192,194,196,197,198,199,200,200,185,172,156,127,100,105,163,167,149,124,101,67,137,185,181,179,178,176,186,189,192,194,195,197,198,200,200,200,184,163,151,126,102,104,156,161,141,117,90,66,155,186,182,180,178,177,186,189,193,195,196,198,198,200,200,200,187,161,153,133,112,105,147,152,131,104,75,73,174,185,183,181,179,177,187,189,192,195,196,198,199,200,201,201,196,170,156,138,116,96,129,131,111,87,57,100,186,184,183,181,179,177,186,187,190,193,194,196,197,199,199,199,198,181,165,142,115,97,109,114,97,75,52,139,186,183,181,179,178,176,185,188,190,192,195,197,197,198,199,199,198,186,166,143,118,106,103,109,102,68,78,176,184,182,180,179,178,176,186,188,191,194,195,197,198,198,199,199,197,187,170,147,132,123,111,110,97,61,125,188,184,182,180,179,177,175
19,112,113,116,118,119,122,123,124,124,125,125,125,126,127,128,128,128,129,128,128,129,127,128,129,128,127,127,126,114,116,120,122,123,125,126,127,127,128,127,128,129,130,131,132,131,130,131,132,132,131,132,132,131,131,131,129,117,120,123,125,127,128,129,130,131,131,131,132,132,133,136,133,133,134,134,134,134,133,133,133,133,133,132,132,121,123,126,129,130,131,131,133,133,134,133,137,133,98,112,141,135,137,138,137,137,137,137,137,136,136,134,133,123,126,129,131,132,133,133,135,136,137,135,147,138,97,71,141,139,139,139,139,139,139,139,140,139,139,138,137,125,128,131,133,135,136,137,138,138,139,138,150,142,109,56,128,150,146,145,143,142,142,141,142,142,142,141,140,128,132,133,136,138,139,140,141,141,143,142,150,143,105,57,113,128,125,142,142,143,147,148,146,146,145,143,143,131,134,136,138,139,140,142,143,147,148,146,149,136,121,129,136,115,88,111,113,108,116,121,140,139,144,145,144,133,136,138,140,142,143,145,146,145,142,142,139,140,142,135,124,112,84,95,116,114,111,100,120,103,131,152,146,136,138,140,143,145,146,147,143,119,118,125,128,128,123,120,123,117,84,65,86,91,88,83,84,109,146,150,149,137,140,142,145,146,147,152,133,113,111,110,115,119,124,122,122,117,72,122,146,139,133,135,142,154,154,151,150,138,141,144,146,148,149,155,130,128,115,101,104,109,113,109,105,105,75,132,165,158,160,160,159,155,156,153,152,141,143,146,148,151,151,150,152,148,115,93,100,104,112,119,113,105,82,96,165,156,157,157,158,157,156,156,155,143,145,147,149,152,153,148,154,157,133,110,87,88,99,103,94,90,67,100,168,156,159,159,160,159,158,157,156,143,146,149,151,152,154,151,145,153,159,123,95,92,100,101,88,80,59,128,170,161,162,162,161,161,160,158,158,144,147,150,153,155,155,150,154,154,145,111,102,99,97,90,75,67,56,144,168,165,163,162,163,162,161,160,161,147,149,152,155,156,155,152,159,155,136,114,99,102,84,57,38,48,73,165,163,165,165,164,163,163,162,162,161,148,151,154,156,158,156,153,159,151,128,102,105,123,72,35,28,44,112,172,162,165,166,166,164,164,163,162,162,150,152,156,158,160,160,151,156,149,124,100,117,111,58,30,35,86,165,166,165,167,167,167,166,165,165,163,163,151,154,157,159,161,162,150,151,145,117,104,125,99,61,45,33,131,176,165,168,168,167,168,167,166,167,165,164,152,155,158,160,162,163,146,142,137,117,124,131,94,59,51,46,151,173,168,169,169,168,169,169,168,168,167,167,153,156,158,161,162,164,145,138,138,129,133,122,83,56,48,73,175,167,170,170,170,170,169,169,169,169,168,168,154,156,159,161,162,164,139,140,140,131,126,105,73,56,47,118,180,168,170,171,171,171,171,170,170,170,169,169,156,157,160,162,164,164,137,143,134,117,110,87,66,55,66,164,173,171,171,173,173,173,172,172,172,172,172,171,157,159,160,163,166,164,137,144,133,112,95,69,65,53,114,182,171,173,173,174,174,174,173,173,174,174,173,172,158,160,161,163,168,162,140,158,139,112,85,61,59,44,138,181,173,174,174,175,175,174,174,173,173,174,174,173,157,160,162,163,169,155,144,157,129,102,76,61,49,65,172,175,173,174,175,175,176,175,175,174,174,173,174,173,156,158,162,164,170,146,147,145,107,88,74,66,39,104,186,171,174,174,175,175,175,175,175,174,174,175,175,173
15,70,75,78,79,85,86,91,106,117,127,135,140,147,150,153,156,159,163,167,172,174,176,179,181,184,185,186,187,70,74,72,71,78,83,92,106,117,127,135,142,148,150,153,155,161,165,167,172,175,177,181,185,187,185,186,187,73,65,107,147,97,81,88,104,119,129,135,143,150,151,152,155,161,165,167,173,176,177,181,185,186,184,186,188,76,54,153,198,168,140,118,108,115,121,137,147,151,154,152,156,161,166,170,173,179,180,182,183,185,185,189,190,73,65,100,167,154,151,160,147,142,126,123,125,135,141,149,158,166,171,173,174,177,181,182,184,187,187,190,193,71,76,69,98,111,105,130,143,149,156,145,132,130,128,132,134,135,146,157,170,181,179,183,184,189,190,191,193,71,72,76,78,82,86,103,108,108,142,147,144,137,137,148,152,134,112,103,91,161,188,183,189,190,191,191,194,72,74,78,81,81,85,96,104,96,115,126,124,118,114,144,164,165,134,121,82,71,173,190,187,191,192,194,197,71,72,75,79,81,83,98,112,119,126,126,125,117,111,155,158,164,143,144,119,83,91,184,190,191,194,196,198,70,72,74,77,81,83,98,110,118,131,142,145,136,157,177,160,154,168,153,142,123,79,96,191,192,196,197,199,69,71,74,77,80,86,96,108,128,130,136,146,158,191,182,128,153,173,147,168,143,106,60,108,199,191,197,198,70,72,72,77,82,82,102,161,141,143,137,124,165,164,128,103,136,166,138,184,155,110,84,52,139,203,196,199,70,71,74,78,81,78,116,172,160,177,181,146,108,119,88,46,124,142,139,183,157,115,90,69,60,162,204,201,70,71,76,79,80,81,99,127,138,181,193,150,119,134,125,97,118,127,148,156,147,118,93,72,63,65,173,206,69,70,72,74,78,83,95,111,133,155,151,127,140,147,134,141,143,134,106,97,119,106,89,69,66,50,83,193,69,70,69,71,75,81,96,110,120,130,120,108,137,148,143,150,160,142,99,68,84,86,80,78,68,66,52,101,67,70,69,72,74,79,95,109,118,126,198,124,88,102,142,150,153,135,91,71,78,76,76,81,75,69,66,52,64,65,67,72,72,78,93,108,118,123,212,157,80,15,61,125,142,127,91,77,80,77,79,84,79,73,69,61,64,65,66,70,70,78,95,107,118,123,192,147,66,41,31,54,120,92,75,75,82,84,82,84,79,77,73,63,63,64,66,68,69,78,94,107,121,123,191,145,55,95,54,49,95,110,86,83,90,92,88,82,78,76,73,70,61,62,65,67,68,76,90,104,117,120,181,140,49,148,64,118,76,123,117,107,97,88,85,80,74,73,71,73,61,62,62,66,67,73,88,102,119,111,200,138,37,161,126,81,148,110,96,81,84,80,78,78,77,78,76,72,59,58,56,60,58,68,85,99,114,113,191,116,42,148,173,43,160,144,72,104,61,58,64,61,62,68,73,77,118,112,111,114,113,117,119,122,127,127,142,71,90,159,132,77,155,162,152,169,98,45,46,45,47,50,60,70,87,86,88,91,96,94,90,87,83,82,85,70,89,96,91,89,98,97,99,98,97,66,52,62,71,77,80,82,85,87,85,86,85,84,86,83,77,80,84,90,87,84,86,88,85,85,85,85,86,87,86,96,89,99,96,102,90,88,89,92,89,89,90,90,89,89,93,90,90,93,96,93,91,91,93,93,95,96,89,128,110,110,102,114,93,90,89,90,89,90,93,93,94,94,93,90,89,91,93,93,92,93,91,91,92,97,84,129,151,128,125,126
13,189,191,193,195,196,198,200,201,202,205,204,203,204,204,204,204,204,204,205,204,202,202,203,201,201,201,200,199,190,191,194,197,198,200,200,204,204,203,206,205,205,206,205,206,206,205,206,205,203,204,204,203,201,200,201,201,191,193,196,198,200,201,203,205,206,205,206,206,206,207,207,208,206,205,207,206,204,205,204,204,203,203,203,203,192,195,198,199,200,202,205,206,206,206,207,208,209,208,210,209,208,207,205,206,209,207,205,204,205,205,205,204,193,195,198,200,202,204,205,207,207,208,209,209,210,211,207,208,206,210,219,192,158,196,210,209,209,205,206,206,194,196,199,202,203,204,206,207,208,209,211,210,209,200,221,222,173,176,239,196,128,136,207,183,198,209,206,206,196,199,201,204,204,205,207,208,210,211,209,217,215,163,184,236,180,152,231,193,136,95,179,154,126,209,209,208,197,199,201,204,205,205,207,210,211,211,211,245,226,185,134,221,191,146,226,183,128,101,183,167,99,183,216,207,198,200,202,204,207,209,209,211,215,209,229,246,236,197,132,202,199,128,210,193,112,138,213,170,90,162,220,205,199,201,204,205,208,210,212,213,212,214,242,209,230,199,124,175,201,120,214,213,125,119,154,118,82,164,221,207,200,202,205,207,208,210,211,213,209,227,243,214,227,182,116,173,190,115,136,172,111,96,145,139,93,172,221,209,201,204,205,206,208,211,212,210,222,247,225,197,218,162,117,197,172,130,58,60,63,144,202,200,125,181,220,211,203,205,206,209,211,212,214,209,233,250,215,176,196,164,121,203,178,128,56,113,147,185,199,198,141,181,221,211,204,206,207,210,212,212,216,212,241,245,217,182,160,169,105,213,226,126,131,231,217,190,163,153,127,151,223,212,204,206,208,211,213,214,217,215,251,242,223,207,176,141,103,180,194,168,230,226,200,181,155,130,116,120,218,215,205,207,210,212,215,217,215,219,255,241,224,209,196,159,154,156,202,234,233,213,192,171,145,125,110,122,221,215,207,210,211,213,216,217,216,222,255,242,223,213,200,174,159,177,239,240,226,201,177,160,136,123,99,169,226,215,208,210,212,214,218,219,218,220,254,245,226,216,204,180,166,196,238,239,221,195,167,148,128,112,109,215,220,218,208,211,213,216,217,219,219,220,253,246,230,217,203,184,181,213,226,222,207,186,163,140,123,93,140,231,218,221,209,213,214,217,218,220,220,220,253,245,228,217,199,184,199,216,201,200,188,171,154,132,102,107,205,224,219,220,210,213,216,218,219,221,223,219,254,243,234,217,196,193,210,209,189,186,169,152,138,105,121,208,226,221,221,221,212,213,217,219,220,222,222,223,255,246,242,219,205,204,216,200,183,170,153,143,110,120,217,227,222,224,223,223,212,214,217,220,222,223,216,239,255,250,246,218,211,216,209,187,171,148,143,117,114,212,230,224,224,224,224,224,213,214,217,218,222,224,217,252,252,249,242,215,213,210,198,173,151,137,123,106,195,229,226,226,225,225,225,225,213,215,217,219,223,222,223,252,235,232,227,209,206,207,183,156,142,132,102,176,234,226,228,227,226,226,225,225,213,216,218,221,224,218,227,250,227,214,211,196,204,203,164,150,141,110,130,225,230,229,227,227,226,225,225,225,214,217,219,221,226,211,238,249,218,211,206,193,197,181,152,147,126,102,180,233,230,230,227,227,227,227,226,225,215,218,220,222,223,213,254,244,205,203,207,192,182,166,146,137,105,120,215,232,230,230,230,229,228,227,227,225
13,185,188,194,203,210,214,218,220,224,227,232,234,237,240,241,244,246,247,246,247,248,249,248,248,249,248,247,247,186,190,197,205,212,216,221,223,225,228,234,237,240,243,245,243,244,247,253,250,250,249,250,251,252,250,250,250,188,192,200,208,213,219,222,226,229,231,237,240,242,243,250,255,255,217,201,252,250,255,252,254,255,252,251,251,191,195,202,211,216,221,225,230,233,235,240,242,246,249,254,255,255,209,141,149,188,207,255,255,255,253,254,253,191,197,204,210,217,222,226,230,235,240,239,245,250,206,203,225,255,207,137,113,192,144,173,255,254,255,255,255,194,198,206,211,219,223,226,233,235,239,239,255,255,221,173,171,253,251,163,127,204,141,141,255,255,255,255,255,196,200,207,214,221,226,230,232,239,242,185,236,255,255,213,121,179,255,176,123,214,145,162,255,255,255,255,255,196,201,209,216,223,228,232,229,255,255,195,130,247,255,234,149,93,208,172,122,251,158,193,255,255,255,255,255,197,203,211,219,225,231,228,255,255,255,241,151,144,255,227,158,70,93,110,114,237,153,242,255,255,255,255,255,198,205,215,221,226,228,250,255,220,255,255,179,95,249,215,144,75,70,115,163,185,131,196,255,255,255,255,255,199,207,218,224,228,232,255,255,206,241,229,164,89,206,215,156,72,103,190,203,175,158,138,255,255,255,255,255,203,211,221,228,228,248,255,242,193,222,198,141,70,175,246,174,92,213,243,209,157,139,136,192,255,255,255,255,205,214,225,232,230,255,255,237,184,190,185,141,59,127,248,147,165,255,234,201,160,138,125,167,255,255,255,255,206,216,228,234,231,255,255,255,212,157,172,128,69,119,240,210,255,252,221,185,154,132,102,215,255,255,255,255,209,220,232,240,235,255,255,255,223,163,139,137,175,240,255,255,255,237,203,170,149,114,123,255,255,255,255,255,216,226,235,244,242,255,255,255,222,199,200,205,229,255,255,255,255,223,189,164,137,95,183,255,255,255,255,255,219,230,239,246,248,255,255,255,234,226,222,199,249,253,255,255,241,210,182,154,127,88,231,255,255,255,255,255,223,234,243,249,254,255,255,255,254,241,227,211,255,255,255,250,219,192,164,144,104,124,255,255,255,255,255,255,226,236,248,254,255,255,255,255,255,247,227,220,250,255,247,225,198,176,159,130,96,244,255,255,255,255,255,255,229,240,251,255,255,255,255,255,255,254,237,226,235,255,241,209,185,161,152,104,216,255,255,255,255,255,255,255,233,243,252,255,255,255,255,255,255,255,255,235,227,250,233,194,164,156,119,173,255,255,255,255,255,255,255,255,235,247,255,255,255,255,255,255,255,255,255,230,220,232,217,177,146,140,129,255,255,255,255,255,255,255,255,197,238,251,255,255,255,255,255,255,240,245,247,227,214,220,198,171,148,113,218,255,255,255,255,255,255,207,99,73,240,252,255,255,255,255,255,255,238,255,255,247,215,210,190,176,140,121,255,255,255,255,255,255,188,88,73,60,242,252,255,255,255,255,255,255,253,255,255,250,214,199,189,178,135,135,255,255,255,255,255,155,82,90,92,48,242,254,255,255,255,255,255,255,255,255,255,253,221,199,188,179,129,146,255,255,255,228,98,70,58,86,98,64,245,255,255,255,255,255,246,255,255,255,255,244,222,203,189,176,126,135,255,255,255,122,91,92,53,57,90,81,247,255,255,255,255,255,155,255,255,255,255,239,226,206,194,163,128,94,255,255,164,99,89,86,64,38,74,86
23,112,118,121,125,129,129,133,135,138,139,141,142,141,142,144,144,142,142,141,141,141,140,138,140,139,136,135,135,113,118,123,128,131,132,134,137,140,141,142,144,144,145,145,148,145,145,146,145,145,142,142,142,140,139,138,138,114,119,125,130,132,135,137,139,141,144,146,147,147,147,148,148,147,145,148,153,149,144,144,145,145,142,141,139,116,122,128,132,135,137,138,142,144,145,146,149,150,149,148,151,156,142,112,117,146,150,148,147,147,146,143,142,120,125,130,134,137,139,142,143,145,148,149,151,152,151,160,161,162,144,137,102,124,139,148,151,149,147,146,145,122,127,133,137,139,141,145,146,147,151,152,154,154,179,157,152,181,109,117,129,125,66,118,159,149,149,148,146,124,130,134,139,140,143,147,149,151,152,156,152,174,175,135,100,108,37,83,90,65,77,148,156,153,152,151,150,127,133,138,140,143,146,149,151,153,154,157,155,187,163,152,36,79,134,163,158,147,161,159,157,156,155,153,154,129,133,139,142,145,148,150,154,155,158,159,165,190,165,163,59,113,180,158,164,165,158,160,159,157,157,156,155,130,134,140,143,147,149,152,155,158,159,156,168,180,163,160,120,143,160,142,97,141,165,161,161,159,159,158,157,130,136,143,146,149,153,156,157,159,171,165,153,151,154,173,172,175,168,143,47,78,180,161,163,162,160,159,159,132,139,145,148,152,154,157,157,164,191,171,146,130,137,149,137,134,123,107,52,65,183,162,165,166,164,163,160,134,140,145,150,153,156,159,157,172,195,172,139,103,110,161,167,158,140,115,53,48,179,165,168,168,166,165,164,135,141,146,150,154,157,161,159,184,195,176,139,112,109,123,129,136,152,127,53,26,175,171,169,168,167,166,165,136,142,148,152,155,159,161,164,195,198,180,155,154,157,135,102,85,96,86,37,21,168,175,170,171,169,167,166,137,144,150,154,157,161,160,173,201,195,177,155,154,137,154,134,109,92,51,26,12,65,155,184,171,173,169,167,140,145,151,156,158,162,164,190,199,197,181,145,131,95,132,154,115,80,37,16,28,72,64,146,183,173,173,171,140,146,152,157,160,158,177,205,201,193,157,88,75,71,63,105,134,80,21,13,27,62,22,8,163,179,173,173,141,148,153,157,161,161,198,211,198,168,142,102,52,25,13,136,166,61,21,6,24,39,19,0,98,190,172,175,142,149,154,160,157,192,216,204,185,153,139,107,57,22,93,146,120,42,8,15,34,38,18,2,125,186,173,175,143,149,155,157,169,217,212,198,169,152,138,93,48,26,75,77,56,19,0,28,48,33,17,113,188,178,177,176,145,151,157,153,196,222,204,190,167,152,124,88,42,0,5,9,25,20,14,31,30,45,145,193,180,180,180,178,146,152,156,168,220,212,203,179,156,139,114,72,35,8,26,37,46,39,31,12,87,175,191,180,183,181,181,181,146,151,153,212,218,198,185,164,146,127,95,57,32,20,45,55,55,36,22,116,197,190,183,183,183,183,183,182,145,147,174,231,202,184,169,147,128,106,81,52,30,27,50,47,28,11,133,204,188,188,187,185,184,183,183,183,157,148,195,222,194,174,160,140,116,97,75,50,25,26,41,17,25,145,200,188,191,189,188,188,186,184,184,183,7,97,225,201,188,160,132,127,107,81,61,33,16,9,13,64,170,203,191,192,190,189,189,189,187,186,185,184,0,81,201,182,180,143,132,118,65,46,22,0,0,54,130,197,198,189,192,191,190,190,190,189,189,187,185,185
21,155,158,160,162,164,165,167,167,168,168,168,168,167,167,166,165,164,163,163,162,160,158,158,157,155,154,152,151,157,159,161,163,165,167,168,169,170,171,171,170,170,169,169,166,166,165,164,164,163,161,159,158,157,156,154,152,158,160,163,165,166,168,171,171,172,172,172,172,172,171,170,167,148,164,167,165,164,163,161,160,160,158,157,154,159,162,164,165,167,170,173,173,174,174,173,173,173,173,173,174,110,143,168,168,167,165,162,162,161,160,160,158,159,163,166,167,169,172,174,174,175,175,175,175,174,174,177,165,104,149,169,168,167,167,165,165,163,162,161,160,161,165,167,168,170,173,174,175,176,176,176,177,177,174,185,159,105,160,172,170,166,153,161,167,165,164,162,160,162,165,168,170,172,173,175,177,178,178,179,178,178,176,191,156,108,168,173,171,153,115,130,168,166,165,164,163,164,167,170,172,174,175,178,179,180,180,180,180,180,179,193,151,112,173,174,167,146,105,142,168,167,166,165,164,165,168,171,173,175,178,179,180,181,181,182,181,180,183,187,144,111,175,174,162,138,103,164,169,169,168,166,165,165,169,172,174,177,179,180,180,182,182,181,180,181,190,179,131,117,176,170,158,127,125,172,171,170,169,168,166,168,170,173,175,178,180,181,181,183,184,181,155,154,196,171,117,139,175,157,147,107,153,174,173,172,170,169,168,168,171,174,176,178,180,182,183,185,185,188,156,114,140,132,99,155,168,157,128,111,173,176,175,173,171,170,169,168,172,175,177,180,181,183,185,185,189,189,184,152,121,90,87,161,160,150,108,146,178,177,175,174,173,171,170,170,174,176,179,181,183,184,186,190,195,191,202,184,132,90,87,118,127,121,109,173,179,179,178,176,174,173,171,171,174,177,180,182,184,186,188,199,159,176,175,173,131,93,84,92,97,94,142,180,180,179,178,177,175,173,172,172,175,179,181,184,185,186,194,186,141,148,118,165,147,104,85,81,87,101,174,183,181,179,179,179,178,174,173,173,176,180,182,185,187,187,201,183,149,115,86,151,159,118,89,79,83,133,185,184,183,182,181,180,179,176,175,174,178,181,183,186,187,190,200,161,131,113,99,157,171,134,101,84,82,160,186,185,183,183,182,180,178,177,175,175,179,182,184,187,188,197,201,166,149,129,147,200,173,147,117,90,83,166,188,186,186,184,183,181,180,179,176,176,179,181,185,188,189,204,202,178,144,141,204,196,160,142,118,96,93,173,189,188,187,184,184,183,182,180,178,176,179,182,186,188,190,211,212,173,149,169,217,184,151,128,116,99,103,182,189,188,187,187,187,185,182,180,179,177,181,183,186,188,190,214,201,166,161,185,212,182,157,120,106,99,119,189,190,188,188,187,186,184,182,181,180,178,180,184,186,190,191,209,190,185,161,193,204,174,150,121,101,98,144,192,192,190,189,188,187,185,184,182,180,175,179,182,185,189,191,200,202,199,159,200,190,159,134,113,102,100,167,192,192,189,189,188,188,186,183,182,180,174,178,182,185,188,190,196,203,190,153,183,176,145,119,105,99,109,183,192,190,188,187,187,186,185,183,181,179,176,179,182,185,189,191,196,192,175,155,169,166,142,122,105,96,127,191,193,192,190,189,189,187,185,183,182,180,176,179,183,186,189,192,194,189,174,170,171,164,158,123,102,92,144,193,193,193,190,189,189,188,186,184,182,180,175,179,182,186,188,192,193,195,194,191,178,158,157,121,96,90,161,194,194,192,190,189,188,187,186,185,182,181
4,189,191,193,193,193,195,196,196,198,198,199,199,199,199,199,200,200,199,198,197,198,199,198,198,199,198,196,195,189,192,193,194,195,198,199,199,200,200,200,200,201,201,201,200,201,200,198,200,199,198,199,199,199,199,199,197,191,193,195,195,195,199,200,200,201,201,200,201,202,203,202,200,200,203,201,200,201,201,201,201,202,201,200,200,194,194,197,199,198,201,202,201,202,202,203,200,199,200,201,207,205,204,202,205,205,205,203,204,204,203,202,201,195,196,198,199,200,201,202,202,204,202,200,207,234,238,209,206,246,231,179,185,205,202,210,207,206,206,203,201,197,198,199,200,201,202,203,205,202,212,229,229,206,242,219,142,188,219,167,117,201,193,174,209,206,206,204,204,200,200,201,201,201,204,206,202,216,252,253,212,130,177,199,126,133,192,129,132,242,191,113,183,213,206,207,206,200,201,203,206,206,206,207,201,240,249,248,211,125,150,213,117,90,203,143,204,242,179,102,182,217,209,210,209,201,203,204,208,208,206,209,202,244,234,216,231,177,116,213,130,115,209,220,250,230,213,125,188,219,211,211,209,202,205,206,209,209,207,211,203,245,234,201,200,155,63,142,226,213,216,228,213,217,236,178,169,221,210,210,212,203,206,208,210,211,208,210,213,251,245,213,173,129,86,75,183,182,187,198,169,228,251,226,155,204,218,213,214,204,207,209,212,212,213,208,223,253,236,188,156,144,125,112,115,115,144,141,117,245,253,243,184,160,225,213,213,207,209,210,212,212,217,211,229,253,238,194,151,124,118,128,134,112,146,116,154,248,249,238,200,135,208,218,215,209,210,211,213,214,216,210,236,253,241,199,155,132,122,133,146,154,185,197,252,249,237,213,179,130,181,227,217,210,210,212,215,217,217,211,241,253,242,210,172,138,127,139,164,170,206,249,251,246,230,194,155,123,183,227,216,212,214,215,217,217,220,213,241,253,243,222,190,145,128,138,164,198,242,253,251,242,220,180,141,122,207,222,217,212,215,217,217,218,220,214,241,253,246,232,198,164,145,144,177,237,253,252,250,232,203,165,126,138,227,220,220,212,215,216,217,219,221,214,241,253,251,239,208,192,161,169,200,246,252,252,243,219,184,149,114,169,233,220,222,215,216,217,218,220,222,216,236,253,252,245,217,206,191,181,204,234,253,245,227,201,167,132,111,205,231,222,223,215,217,218,219,219,221,221,232,253,252,251,229,215,203,182,182,222,252,225,210,187,149,118,130,230,225,225,223,216,218,219,223,226,227,223,222,250,250,246,231,216,195,185,180,206,239,205,185,170,137,102,175,237,224,226,224,219,219,223,208,187,169,151,138,138,138,122,111,105,109,117,128,156,187,185,177,157,123,105,222,233,228,228,227,218,224,174,147,134,129,122,117,106,93,82,68,58,55,38,33,50,58,73,101,129,97,148,239,228,229,227,226,219,226,152,133,137,131,125,121,106,96,81,70,66,58,40,40,47,41,29,23,37,61,215,238,229,229,228,227,219,231,174,126,131,126,122,117,96,85,77,66,63,51,43,43,49,38,31,31,28,14,104,243,229,230,231,231,221,232,193,129,131,122,123,109,96,81,74,65,60,50,43,43,45,35,27,24,26,29,0,180,245,229,233,233,223,231,204,136,128,126,123,110,92,83,72,63,57,52,43,43,40,33,24,22,25,22,29,212,239,232,233,232,222,230,212,132,126,131,115,103,90,81,69,60,53,50,44,42,38,31,24,20,30,4,130,253,230,234,234,233
7,222,224,227,228,230,231,232,233,234,234,235,235,236,236,237,236,235,235,235,235,235,235,233,232,231,230,227,227,225,227,229,230,232,233,234,237,236,236,237,237,238,237,238,238,237,237,237,237,237,238,235,235,233,231,230,229,227,229,231,231,233,235,236,238,238,238,238,238,238,238,238,239,239,239,238,238,238,239,237,237,236,234,232,230,227,230,232,233,235,237,237,238,240,239,240,240,240,240,240,241,241,241,241,240,239,240,239,238,237,236,234,233,230,231,232,235,236,238,239,240,242,241,241,242,242,243,244,244,244,243,242,243,242,242,241,240,238,237,236,235,230,232,235,237,237,240,241,242,242,244,244,244,244,245,244,244,245,244,244,244,244,243,242,241,240,238,238,237,231,235,238,239,240,242,242,243,245,245,245,246,246,246,245,245,245,246,246,246,246,245,244,243,242,241,240,239,233,237,239,241,242,243,244,245,246,246,247,246,246,248,248,247,248,248,248,248,247,246,245,244,244,244,242,240,237,238,240,242,243,244,246,247,248,247,250,250,248,249,250,250,250,249,250,249,249,247,246,246,245,244,244,242,236,238,241,244,245,247,246,247,251,251,242,247,250,250,249,250,251,252,252,251,249,249,246,246,248,246,245,244,237,241,243,244,245,247,251,255,255,255,225,210,230,243,241,240,243,247,241,245,239,245,233,255,252,240,247,245,238,241,242,247,252,255,255,255,255,255,247,201,203,223,230,230,228,221,223,227,225,231,220,227,214,244,249,247,239,246,255,255,255,255,255,254,247,246,233,200,191,202,218,227,228,230,224,216,220,221,210,217,213,238,249,244,255,255,255,255,255,252,246,236,233,245,247,209,185,181,185,196,207,213,203,209,215,217,213,226,219,226,222,233,255,255,255,251,244,241,237,238,241,250,247,212,190,196,195,189,179,166,197,205,202,202,199,201,209,209,218,248,255,255,250,240,233,229,230,230,238,244,226,198,182,187,202,207,198,180,209,255,255,252,252,252,250,253,255,254,255,255,249,239,230,230,231,226,226,239,236,203,172,171,185,189,192,181,194,255,255,255,255,255,255,255,255,254,255,255,251,243,237,234,236,235,233,244,246,211,190,197,196,189,186,162,243,255,255,255,255,255,255,255,255,255,253,248,247,245,243,239,236,234,234,238,238,213,199,207,204,199,183,206,255,255,255,255,255,255,255,255,255,255,240,239,241,244,244,240,234,230,231,224,207,196,179,176,184,190,170,251,255,255,255,255,255,255,255,255,255,255,169,181,208,236,242,233,223,213,202,192,188,186,137,132,154,171,195,255,255,255,255,255,255,255,255,255,255,206,101,103,116,146,187,203,192,199,208,231,253,255,185,152,178,200,254,255,255,255,255,255,255,255,251,232,202,154,101,96,92,91,92,123,239,255,255,255,255,255,255,234,255,255,255,255,255,255,255,255,255,226,174,158,144,137,95,91,90,92,73,143,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,249,181,145,153,151,141,132,90,87,84,85,69,134,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,186,137,118,132,136,130,128,87,87,87,90,60,128,255,254,255,255,255,255,255,255,255,255,255,255,255,255,182,162,146,114,109,128,124,120,95,95,91,81,57,101,189,182,185,189,191,194,197,199,200,203,204,202,212,188,125,151,144,107,102,112,116,114,104,99,85,65,60,95,163,157,157,158,159,160,160,161,163,161,160,164,179,164,116,144,138,103,98,106,109,111
24,130,134,139,142,145,147,149,152,153,155,157,160,161,162,163,166,167,168,171,171,172,173,173,173,172,174,175,176,130,134,138,140,145,147,150,153,154,157,157,160,162,163,166,168,168,169,172,171,172,175,175,174,175,177,177,178,131,136,138,142,146,148,151,153,156,159,160,162,165,166,167,169,169,171,173,173,174,175,176,177,177,178,178,178,131,137,139,143,145,148,152,154,156,159,161,164,166,167,169,171,170,170,173,175,177,178,178,179,179,179,179,179,132,137,140,144,146,149,153,155,157,160,162,164,167,168,169,172,172,172,174,177,178,179,178,179,180,179,178,178,133,137,142,146,150,151,154,156,159,161,163,164,168,168,169,170,175,177,176,178,178,179,179,179,179,179,180,180,135,136,152,142,123,155,153,157,160,163,164,166,166,166,175,173,170,163,179,178,179,179,179,179,180,181,181,181,135,134,160,160,101,144,157,157,160,163,166,168,168,147,125,174,172,127,127,183,178,179,179,180,181,182,181,181,136,137,144,164,115,111,162,157,160,165,138,161,188,156,105,146,181,141,84,132,189,179,182,183,182,183,184,182,136,140,141,159,151,109,147,159,171,180,144,131,188,161,119,133,185,147,95,77,184,181,183,185,183,184,171,150,135,140,145,150,180,147,111,154,185,197,159,122,177,172,120,115,182,141,94,58,164,188,181,182,185,177,139,106,136,140,145,145,169,164,118,129,173,206,176,130,142,185,131,95,165,124,84,46,148,191,180,184,176,160,122,89,135,141,145,147,150,167,174,153,151,188,184,136,104,161,140,85,129,114,85,49,104,194,184,167,157,145,97,113,135,142,145,148,149,164,180,171,174,183,169,130,86,127,135,82,97,132,95,55,62,162,163,149,146,114,78,163,136,141,145,148,153,153,174,176,169,178,167,129,106,99,151,103,94,170,103,63,111,125,148,150,116,73,138,193,137,142,145,148,154,152,168,189,163,144,143,143,141,96,156,140,71,149,110,138,165,147,139,125,85,110,193,185,136,142,146,150,152,153,164,186,145,134,132,142,140,112,136,126,77,141,178,177,158,139,117,100,88,184,187,186,137,142,148,151,153,155,161,196,168,146,128,129,137,154,134,127,164,186,176,166,152,132,110,81,141,194,185,187,137,143,147,150,153,159,157,200,190,161,133,122,152,169,179,192,195,180,171,160,144,123,89,95,191,188,188,188,138,143,147,150,153,159,157,197,203,169,155,134,140,165,186,205,190,179,175,159,130,103,73,145,195,186,188,188,138,144,147,150,155,157,154,189,209,178,170,156,141,166,184,200,189,182,174,151,125,87,95,190,186,187,188,188,139,145,148,150,153,156,159,171,205,190,176,169,153,162,182,193,188,178,164,147,128,76,157,195,187,189,188,188,138,143,148,151,153,156,160,162,184,196,183,165,154,161,179,187,180,165,148,137,97,114,195,186,189,189,190,188,138,142,147,150,152,157,162,162,174,199,181,165,153,164,171,173,168,154,134,111,86,178,190,187,189,189,191,191,136,142,146,148,151,156,159,161,169,185,166,163,156,159,164,169,163,149,127,85,128,198,185,187,188,188,188,190,134,140,144,147,150,154,157,159,168,173,163,172,169,169,171,166,155,141,117,80,165,190,185,186,187,186,187,187,134,139,144,146,148,153,156,157,167,188,180,187,177,175,167,159,149,135,102,87,182,185,184,185,186,186,188,187,133,138,144,145,147,153,156,156,168,203,186,185,178,173,159,153,149,126,90,99,191,183,185,185,185,186,187,187
15,203,176,178,157,112,203,89,34,101,99,100,105,110,113,126,142,158,171,175,179,188,196,201,205,208,212,216,220,203,177,186,149,124,207,72,43,103,100,103,106,110,113,128,146,161,173,177,183,191,198,204,208,212,215,218,222,204,182,195,138,142,207,56,56,106,100,104,109,112,113,130,148,164,176,181,185,193,202,207,210,216,219,222,226,202,185,200,131,159,199,45,69,107,100,105,108,110,115,133,151,167,178,182,188,196,205,211,215,219,223,226,229,201,187,201,120,180,187,25,76,103,99,104,110,117,118,138,158,172,183,186,190,201,209,213,219,223,227,231,233,197,199,195,139,178,171,108,130,131,138,150,151,149,125,126,141,160,179,188,195,204,212,226,228,226,231,234,238,192,214,179,154,155,152,155,140,131,140,135,130,122,131,130,127,131,138,149,162,162,154,170,207,240,239,237,242,198,192,148,143,142,138,130,123,124,127,126,123,124,140,144,141,137,135,133,148,157,141,127,112,157,230,253,246,203,201,165,127,135,120,124,118,125,130,130,128,134,147,147,144,137,130,137,152,152,148,141,123,102,112,192,254,203,211,172,132,221,97,62,112,110,114,117,121,133,145,148,141,131,133,147,150,142,146,139,130,125,111,97,138,207,216,156,149,236,73,44,112,102,104,107,110,111,131,152,183,161,146,146,147,149,146,141,134,133,136,119,96,212,223,145,167,227,57,61,112,103,105,108,112,113,128,165,220,199,166,152,146,135,141,136,138,137,153,132,113,213,225,136,183,219,43,70,113,104,105,108,111,114,128,209,200,174,127,121,134,109,112,135,139,148,165,140,125,214,223,131,200,205,34,81,112,103,105,109,114,107,167,220,171,156,116,71,86,66,74,174,162,167,159,137,134,216,219,125,215,188,27,90,111,103,106,110,108,125,229,194,154,134,109,64,56,41,80,200,187,178,144,127,135,217,213,125,229,173,23,99,112,105,105,109,100,169,246,194,147,124,78,53,58,35,112,202,203,191,148,121,128,224,208,127,239,153,23,106,110,105,106,110,102,143,232,213,165,129,69,46,55,59,122,194,215,199,153,122,118,233,200,134,252,135,26,112,108,104,105,108,112,110,209,237,199,143,86,39,90,105,108,185,207,179,147,123,103,240,193,143,255,120,31,115,107,104,104,107,112,112,167,255,222,161,97,56,64,130,175,191,172,141,135,117,93,245,179,156,255,101,38,118,106,102,102,105,107,117,140,240,237,204,185,176,177,194,173,151,128,115,119,113,97,249,168,173,255,82,46,117,103,101,100,104,104,118,137,202,248,209,191,186,196,191,140,109,111,106,107,114,119,251,156,190,255,65,56,116,101,100,99,103,105,116,148,229,195,161,159,168,197,189,125,100,102,96,111,115,108,249,148,210,244,53,67,116,101,99,98,103,107,108,184,233,168,159,162,159,185,183,134,100,114,214,144,79,74,244,142,226,231,29,65,106,90,89,89,95,99,104,182,212,161,146,144,140,165,166,137,88,214,255,154,80,80,238,139,237,216,105,128,143,128,122,117,114,115,126,158,184,175,189,186,132,110,159,130,105,205,255,162,88,82,231,143,241,221,183,144,158,158,156,152,154,158,155,153,155,166,174,227,190,107,167,166,139,190,228,148,98,86,223,146,248,220,164,126,145,142,143,144,147,146,148,147,145,150,142,177,227,151,136,155,153,150,154,128,94,93,214,153,253,214,165,137,149,150,151,151,151,152,154,155,158,159,157,154,178,169,157,161,162,162,168,133,78,57
15,155,159,163,166,138,128,130,133,121,81,135,143,80,32,78,97,98,104,108,112,119,133,142,147,154,158,162,166,156,160,163,165,136,132,131,137,114,88,140,145,69,38,84,96,99,104,109,114,120,134,143,147,155,159,163,166,157,161,165,164,136,135,134,141,104,97,143,140,59,44,88,96,100,104,109,115,120,135,143,147,154,159,163,167,159,162,166,160,134,132,132,145,96,107,145,138,49,48,90,95,99,105,109,114,122,135,142,148,155,159,164,168,161,164,167,160,157,148,138,138,97,115,145,129,35,49,92,95,101,105,110,116,124,138,143,150,157,161,165,168,160,165,168,162,153,155,153,147,139,135,138,123,77,76,96,97,99,103,110,115,125,139,144,151,157,161,165,168,162,166,170,155,134,129,118,133,138,140,143,148,148,138,134,128,123,118,114,115,127,142,145,152,158,161,166,170,163,167,172,152,138,134,111,110,117,111,123,150,143,143,141,143,152,152,134,121,119,125,146,152,159,162,167,171,164,168,172,151,142,142,147,126,89,116,105,129,133,128,124,130,152,166,155,133,126,97,119,156,158,163,166,171,165,168,171,149,142,142,151,121,90,153,146,89,98,126,112,134,162,165,155,147,142,114,94,141,162,164,167,171,166,170,172,146,144,143,154,112,95,153,157,64,39,89,119,172,162,165,168,165,157,135,109,103,160,165,168,171,166,171,172,146,147,143,157,114,107,153,153,53,37,96,136,184,136,163,174,179,175,145,116,93,121,170,168,172,168,172,167,148,148,156,148,132,137,134,135,61,99,161,150,121,126,166,176,184,173,144,121,108,90,148,174,171,169,174,166,147,153,160,139,145,158,155,131,114,132,133,123,89,116,193,169,156,158,145,131,113,94,103,172,172,170,175,163,147,155,144,116,131,156,159,131,117,129,126,128,134,147,149,129,131,145,146,129,111,103,84,135,180,170,176,162,150,155,155,130,112,143,144,119,124,135,132,137,147,148,128,108,114,131,131,119,107,103,92,92,163,171,176,160,154,156,157,150,91,146,119,104,119,126,129,136,147,138,117,105,106,115,117,117,115,107,100,87,105,171,176,160,157,157,162,138,93,165,104,81,92,107,111,127,138,136,118,106,108,112,111,117,121,111,106,97,86,173,176,159,158,157,165,130,123,127,89,80,63,114,125,102,122,123,115,112,114,114,114,117,118,111,105,100,92,173,174,158,160,158,162,158,114,87,82,71,39,164,171,98,116,117,112,116,122,124,122,120,115,112,109,101,95,173,174,159,162,157,169,151,92,74,101,63,29,130,172,123,118,146,137,143,145,135,126,119,111,110,112,108,97,175,172,157,164,161,167,112,80,107,159,57,39,86,136,149,106,117,148,144,141,134,122,115,109,108,110,112,105,177,170,157,167,162,175,96,121,173,159,46,45,94,98,116,100,84,122,137,128,125,117,112,111,112,114,113,110,177,171,161,169,167,177,92,149,179,155,39,49,97,102,98,101,104,118,151,125,114,114,111,114,120,119,111,108,177,168,164,170,170,175,87,153,183,148,31,54,100,100,101,103,108,107,138,162,132,105,106,106,113,119,119,111,175,166,167,171,172,168,87,163,183,134,28,59,100,98,99,102,106,110,111,156,177,144,121,104,107,119,129,117,175,167,170,173,176,159,93,171,186,121,28,66,102,98,98,100,106,109,115,129,170,144,127,137,134,139,133,123,177,171,173,173,180,150,94,175,188,108,28,70,102,96,98,101,105,109,115,128,137,133,146,156,147,149,148,142
4,149,153,158,160,163,165,167,169,171,172,171,173,175,176,178,177,177,175,177,176,175,176,175,174,174,173,173,173,150,154,158,162,163,164,166,169,171,172,173,175,176,176,177,178,179,176,179,179,178,176,175,175,175,175,175,174,151,156,159,162,164,165,168,170,171,173,174,175,176,186,182,163,166,189,170,166,179,179,177,178,177,176,174,174,153,158,160,163,166,168,169,171,172,173,181,174,179,213,179,161,145,204,168,137,154,181,180,180,179,177,175,175,154,158,160,164,166,169,171,172,172,194,218,190,163,214,187,159,166,210,171,131,124,176,150,174,181,178,177,176,156,159,162,166,167,170,172,174,171,219,235,212,146,181,200,150,178,213,170,123,174,167,119,123,181,177,176,177,156,160,165,166,170,172,173,173,183,222,225,199,137,165,202,148,181,201,163,165,189,140,110,89,164,181,178,178,158,162,166,168,171,172,174,171,204,209,207,187,124,147,180,186,182,192,212,224,177,113,94,86,164,182,179,179,158,162,166,169,172,174,175,172,217,202,192,187,122,121,167,181,201,215,225,210,183,133,90,83,173,182,181,181,158,162,167,170,172,175,174,189,227,198,170,184,125,103,162,120,152,187,194,182,192,151,100,92,181,184,182,181,158,163,166,170,172,176,173,212,215,176,158,141,101,106,164,102,132,170,150,180,202,165,111,116,187,184,183,182,160,164,167,172,173,175,177,229,204,163,143,137,114,117,132,107,126,165,98,188,218,182,128,117,189,184,184,183,162,165,168,172,174,175,183,239,205,162,136,122,109,119,116,126,132,150,135,188,228,197,143,98,171,187,185,184,162,165,170,172,176,175,195,244,205,162,131,117,112,123,123,161,161,185,207,197,210,189,147,104,136,191,185,186,162,166,170,173,176,175,208,244,205,156,133,129,119,115,128,169,185,212,206,205,177,165,153,116,128,192,187,187,162,167,171,174,177,174,217,242,204,155,153,147,124,123,163,205,217,212,204,189,159,135,141,109,153,192,189,187,161,165,169,172,176,174,222,239,203,173,181,158,142,187,221,232,218,211,196,170,143,121,113,109,182,188,187,187,161,165,169,172,176,175,226,239,217,202,196,163,167,222,232,239,220,196,180,157,136,114,96,149,193,187,187,187,162,166,170,173,177,175,225,242,230,208,195,178,173,228,235,233,212,175,165,147,131,105,111,187,190,189,189,189,162,166,170,174,177,175,218,244,233,212,191,181,183,231,230,215,194,163,149,139,120,96,157,194,191,189,189,189,163,169,171,175,178,175,207,242,224,210,193,183,188,217,212,193,173,152,145,132,102,116,192,193,193,190,190,189,164,168,171,174,178,177,205,232,210,203,200,186,185,199,197,179,156,145,142,118,96,168,195,191,191,191,189,188,163,166,172,174,179,178,201,222,199,201,201,182,176,197,194,174,146,133,130,105,138,196,193,192,190,190,190,188,162,167,172,174,178,178,194,219,199,199,194,178,167,195,194,160,129,122,116,120,188,195,194,194,193,192,192,190,136,138,139,139,141,140,162,229,210,206,191,181,162,186,186,144,120,116,104,121,143,139,138,138,136,136,136,137,101,99,98,99,100,97,122,237,225,212,198,189,164,176,184,143,116,106,101,95,94,92,92,91,90,91,90,89,107,107,106,107,109,108,116,230,230,211,199,193,163,161,188,147,112,100,97,100,101,100,98,97,98,96,97,160,108,109,108,109,110,109,107,219,229,206,190,189,164,150,181,144,109,98,96,101,102,102,99,99,100,93,166,221
23,180,182,183,184,186,187,189,190,190,191,191,193,193,194,195,194,195,195,194,194,194,193,193,193,192,192,193,193,181,183,185,186,188,189,192,193,193,193,193,195,196,198,198,197,197,197,197,196,195,195,195,196,195,195,195,196,182,185,187,188,189,190,193,194,194,195,195,197,198,199,198,200,208,218,221,208,193,192,196,192,196,197,197,198,184,186,188,189,190,191,194,196,196,197,197,198,199,208,215,225,233,232,220,204,194,184,174,150,189,198,199,199,186,187,189,190,191,193,194,197,197,197,199,198,210,246,240,219,215,206,176,155,154,147,136,156,197,200,201,200,187,188,190,192,193,194,195,197,198,199,200,197,224,254,224,189,181,156,148,176,172,169,181,199,201,201,202,202,188,189,191,193,195,196,198,199,200,201,201,198,235,252,213,160,139,162,193,206,206,204,205,204,202,202,203,203,189,191,193,195,196,198,200,200,201,202,202,205,246,246,213,166,172,206,213,225,214,193,206,205,204,204,204,204,190,193,194,196,198,199,200,201,204,205,202,215,251,239,220,159,187,234,244,247,220,160,201,208,208,206,207,207,191,193,195,197,199,199,201,203,206,207,202,227,252,234,227,199,240,254,249,236,199,146,146,165,205,210,208,208,193,195,197,199,200,201,203,205,207,206,205,241,251,235,245,252,252,245,231,219,210,206,152,111,178,211,209,209,194,197,199,200,202,204,206,208,208,207,214,250,251,245,245,247,245,239,237,236,233,225,175,115,147,211,210,211,196,198,201,202,203,205,207,209,208,214,238,250,247,242,238,242,244,244,238,231,216,201,161,113,115,180,213,212,197,199,201,203,204,206,208,209,209,238,251,252,250,244,235,233,235,235,227,217,207,207,174,110,104,144,215,214,199,200,202,204,206,208,209,210,210,245,254,254,253,245,229,228,231,231,226,216,211,210,180,116,100,155,217,216,201,202,203,206,207,209,211,212,212,241,255,255,254,249,240,240,229,221,214,204,199,191,160,117,108,186,219,217,201,203,204,207,208,210,212,213,212,235,255,254,254,250,240,240,211,187,181,172,165,160,150,120,131,212,219,217,202,204,206,208,210,211,213,214,212,231,255,254,254,246,237,229,197,156,128,110,124,155,147,119,162,222,220,218,204,206,208,210,212,213,214,216,214,228,255,255,254,243,234,217,192,158,113,56,105,154,144,120,191,223,222,221,206,207,209,211,214,214,216,217,217,227,254,255,254,245,234,237,220,149,84,78,125,144,126,128,211,222,221,223,207,208,211,213,214,216,217,217,219,226,253,255,254,246,240,238,209,150,91,97,124,118,110,152,224,223,222,224,208,209,212,214,215,216,218,218,219,224,252,255,254,249,245,237,199,157,112,89,101,109,112,169,227,223,223,224,208,210,212,214,217,218,219,220,221,223,250,254,254,250,248,237,200,157,124,86,102,117,115,185,229,225,225,225,209,210,213,215,217,218,220,221,222,223,250,255,254,251,249,236,201,160,133,101,112,122,121,205,228,227,227,227,209,211,214,215,217,219,221,223,223,224,250,255,253,251,247,233,202,163,135,111,119,124,136,222,226,227,228,228,210,212,214,215,217,219,222,223,224,225,250,255,254,248,240,223,195,160,136,118,120,118,168,232,228,228,229,229,212,214,215,217,219,220,223,224,226,226,250,255,253,243,228,210,184,153,137,125,119,126,213,232,229,230,230,230,213,215,216,218,221,223,224,224,227,227,249,255,253,238,216,195,169,149,139,130,116,160,231,230,230,231,231,231
0,173,173,174,173,174,174,173,175,174,175,175,177,175,175,174,173,174,175,175,176,175,174,174,176,174,173,173,174,174,173,174,173,175,177,176,177,176,176,173,175,175,175,175,175,175,174,176,177,174,176,176,176,176,174,174,174,175,175,175,176,176,178,178,176,177,178,176,177,178,178,177,178,178,176,176,177,177,176,177,176,177,174,174,174,177,176,176,177,178,179,176,175,172,156,169,179,170,176,179,174,173,180,182,179,181,178,175,177,178,176,174,174,177,178,178,178,178,178,176,182,179,125,87,135,149,131,143,166,154,132,158,172,167,177,181,178,177,178,176,176,176,178,178,179,178,178,180,177,178,128,52,85,158,113,70,131,154,93,69,125,115,101,132,176,179,175,178,177,178,179,179,179,178,176,175,147,164,139,85,70,140,103,58,106,132,83,51,109,111,67,59,114,178,178,177,178,179,180,179,180,178,173,167,139,129,157,120,57,103,105,49,99,121,72,52,120,108,65,65,99,121,188,177,178,179,180,180,181,180,175,166,145,111,118,116,50,90,103,38,87,136,83,47,125,125,69,71,129,85,138,188,178,179,181,181,181,181,174,164,144,112,89,82,56,94,89,28,95,136,70,55,140,135,113,100,108,95,73,180,181,180,181,181,182,180,174,167,159,137,96,76,69,81,69,41,84,109,80,131,147,133,123,102,81,71,65,174,182,181,181,183,183,181,176,172,164,153,129,86,69,63,73,88,86,112,149,158,149,139,115,98,86,63,78,184,181,182,183,184,183,183,177,177,168,161,152,119,74,70,80,87,112,154,162,161,155,141,112,90,82,56,99,194,180,182,182,183,184,183,173,182,175,169,165,144,104,98,90,95,137,160,164,171,160,136,108,87,78,51,138,193,180,183,182,183,184,184,164,180,182,176,172,157,134,125,113,104,138,150,166,174,161,130,103,86,69,72,177,185,181,183,184,184,183,187,166,168,186,185,180,164,149,141,130,119,129,155,171,168,155,121,94,90,60,121,192,182,184,183,184,185,184,187,174,155,183,189,184,171,159,149,141,132,126,143,165,163,146,114,89,86,58,163,190,182,184,184,184,185,184,183,187,146,170,187,187,178,165,157,150,136,126,131,150,150,128,102,87,70,78,187,184,184,184,185,185,186,185,183,192,159,151,185,188,179,160,157,147,135,128,127,138,138,109,90,82,51,127,196,181,185,185,185,185,185,187,188,186,182,142,181,187,170,151,156,143,137,129,115,120,126,101,87,64,79,183,186,184,185,186,186,186,186,187,187,186,186,156,182,186,172,160,167,153,140,126,107,107,112,98,77,59,158,192,186,187,187,187,186,186,186,187,187,186,187,162,183,190,180,166,176,158,138,126,106,100,104,98,59,113,194,184,188,190,188,187,186,186,186,187,187,187,189,155,176,189,185,170,173,155,136,123,109,98,100,95,54,155,192,185,187,189,187,187,186,186,186,186,186,188,191,154,173,191,186,172,164,152,134,121,112,97,94,85,63,174,187,186,187,188,187,187,185,186,186,186,187,187,186,166,178,188,184,174,162,151,137,121,112,99,88,77,73,189,188,187,187,187,187,188,185,186,186,186,187,188,178,172,186,177,180,170,160,149,137,121,110,98,85,73,85,193,185,187,187,187,187,187,185,186,187,188,187,188,176,170,178,176,179,163,152,146,135,120,106,92,82,66,106,191,182,188,187,187,187,187,185,186,187,187,186,189,174,166,176,179,178,162,145,138,132,119,101,83,78,59,133,188,183,188,187,188,187,187
4,193,196,199,200,204,206,208,213,215,217,222,221,221,225,225,225,228,228,226,227,228,229,230,229,226,226,227,227,197,200,202,205,208,210,212,215,216,218,224,224,226,225,225,237,221,221,232,229,229,230,231,230,231,229,229,229,200,204,206,209,212,213,215,218,220,221,221,232,217,240,255,255,197,142,219,235,234,236,233,234,233,233,232,231,204,207,209,213,215,217,218,224,229,232,255,255,191,161,228,250,183,123,129,169,167,219,241,235,236,236,234,232,207,210,214,216,220,220,229,224,193,255,255,255,203,132,104,219,177,120,96,152,128,136,246,236,239,238,237,236,210,213,216,220,222,223,255,255,190,197,201,255,208,152,85,158,206,153,97,173,172,124,239,241,241,240,239,240,213,216,220,224,218,255,255,255,254,219,146,210,239,177,59,162,245,188,142,162,187,154,226,248,242,243,242,243,218,221,224,224,230,255,245,195,200,172,108,131,245,168,70,211,239,179,134,124,145,140,175,255,244,246,245,245,219,224,228,228,233,255,255,225,202,193,181,121,176,139,102,167,195,160,140,141,136,130,146,225,255,246,246,245,222,226,229,233,230,255,255,249,219,192,181,145,133,158,150,162,192,170,170,148,114,157,162,159,255,249,250,247,224,230,232,237,234,255,255,239,206,172,150,137,144,169,173,192,206,194,183,151,155,203,196,143,208,255,250,252,227,232,234,240,236,255,255,241,212,171,146,137,149,161,182,202,222,227,248,255,251,230,208,182,146,249,255,254,230,234,237,243,238,255,255,250,217,177,148,144,151,167,194,236,227,255,255,255,248,225,189,159,116,200,255,254,231,238,240,244,240,255,255,255,230,196,156,144,147,169,216,237,229,255,255,246,229,206,177,148,120,147,255,255,232,240,241,247,245,255,255,255,241,208,171,151,152,171,225,241,252,255,255,246,219,198,174,144,126,131,255,255,236,242,245,250,247,255,255,255,250,217,184,165,165,168,217,249,255,255,255,247,217,190,161,140,116,155,255,255,238,244,246,251,249,255,255,255,255,225,193,187,181,172,211,253,255,255,255,247,210,177,148,135,109,218,255,255,240,245,249,253,253,255,255,255,255,237,208,201,194,181,221,248,255,255,255,240,202,165,145,126,126,255,255,255,242,247,251,254,254,255,255,255,255,250,222,211,202,188,228,248,253,255,253,223,189,161,145,109,177,255,255,255,245,251,254,255,255,255,255,255,255,255,234,221,206,195,220,255,252,252,233,202,176,154,141,110,240,255,255,255,250,255,254,255,255,255,255,255,255,255,236,223,212,194,192,242,248,230,210,183,164,152,128,140,255,255,255,255,252,255,255,255,255,255,254,255,255,255,235,224,216,194,175,226,246,227,200,171,149,154,110,214,255,255,255,255,255,255,255,255,255,255,255,255,255,255,237,224,219,199,176,214,235,217,188,158,145,115,162,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,227,219,219,194,173,205,219,200,164,148,115,155,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,222,225,222,202,177,193,198,183,148,126,131,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,236,240,230,217,183,177,177,171,143,106,224,255,255,255,255,255,192,139,255,255,255,255,255,255,255,255,255,254,250,255,233,220,182,163,163,168,127,126,255,255,255,249,155,102,84,82,255,255,255,255,255,255,219,255,255,255,255,255,235,220,181,159,164,170,113,164,255,255,225,114,94,73,75,70
16,139,146,150,151,156,161,166,170,173,178,183,185,188,189,191,194,195,197,199,201,202,203,205,206,206,205,206,207,141,148,151,152,156,162,167,171,174,178,183,186,189,192,193,194,197,198,200,203,205,205,207,208,207,206,207,209,144,149,151,153,157,163,168,172,176,180,185,188,191,193,195,197,199,201,202,204,207,207,208,209,209,209,210,210,143,150,152,155,159,164,170,175,178,183,187,189,193,195,198,200,201,203,205,206,207,207,209,209,211,212,213,213,144,150,153,156,161,167,171,177,179,184,187,188,193,197,197,200,202,203,206,207,207,208,210,210,212,214,214,214,147,153,155,157,163,168,172,178,182,187,186,198,196,195,209,199,199,210,207,207,209,209,211,212,214,216,216,215,149,155,157,159,164,169,175,180,184,184,198,243,223,234,242,206,176,178,209,216,212,212,212,215,215,217,218,217,150,156,157,160,166,170,176,182,176,224,247,252,250,253,237,207,179,142,136,176,209,220,215,215,217,219,220,219,150,157,158,161,167,172,177,178,205,253,252,254,251,239,223,195,154,142,119,114,131,173,217,219,217,219,220,220,153,158,159,162,169,176,174,206,255,251,252,252,237,217,202,168,140,146,121,126,116,112,145,216,222,220,222,222,152,157,160,162,169,177,171,226,251,251,253,244,220,190,164,135,137,135,124,135,123,120,109,132,218,223,221,222,152,157,159,163,170,178,175,236,253,252,239,222,199,158,130,129,113,135,133,140,128,122,119,107,139,236,225,222,154,159,162,165,172,179,178,242,255,243,209,191,157,130,119,91,71,141,135,137,131,125,117,119,108,156,218,227,155,161,163,167,173,181,176,237,255,243,210,160,121,102,54,29,70,137,134,141,130,123,119,123,110,36,107,240,157,162,163,167,174,182,176,228,255,246,206,137,110,67,19,23,70,137,143,149,127,120,121,120,65,28,122,246,158,163,164,167,174,181,178,211,255,243,184,120,92,62,34,54,71,114,164,142,125,118,123,76,40,27,174,244,158,163,165,168,175,182,183,197,255,228,160,112,103,105,78,89,88,126,189,121,123,123,87,27,46,31,206,237,159,164,165,168,175,182,184,199,251,199,130,121,125,115,108,101,91,197,177,117,125,85,15,33,40,44,227,233,160,165,165,169,177,184,182,217,249,172,130,134,126,124,127,90,162,223,159,126,89,24,30,47,25,64,238,231,162,165,166,171,179,187,181,224,248,145,160,118,75,98,98,106,239,220,157,112,57,38,46,35,20,94,249,230,162,166,166,171,179,187,180,237,229,117,187,113,87,95,77,126,255,231,176,86,53,42,32,34,19,149,250,231,161,164,167,171,178,183,192,250,162,135,203,111,109,117,97,114,245,232,187,72,44,37,29,38,22,176,248,232,160,163,165,170,179,181,197,190,141,200,187,112,120,123,120,102,196,234,190,78,29,33,34,41,26,170,248,231,161,165,166,171,180,185,188,189,198,210,174,115,127,129,128,102,91,164,131,43,27,33,37,43,30,177,248,232,162,165,167,172,179,186,190,195,196,210,166,119,125,125,104,66,36,34,35,32,36,36,37,42,30,185,248,233,163,166,167,172,179,185,190,196,198,211,158,113,116,107,67,37,41,44,44,45,43,42,38,42,24,130,255,232,163,166,168,173,180,186,192,198,200,212,166,119,104,87,53,46,55,57,58,57,51,46,41,44,24,133,254,233,163,166,170,173,180,186,192,197,202,203,146,122,108,91,68,59,66,65,66,62,55,50,43,46,24,158,254,235
8,124,130,137,140,143,144,150,155,157,158,158,159,161,162,162,162,163,163,164,164,164,163,163,162,161,161,159,160,126,133,141,146,144,162,154,152,161,161,162,163,164,164,165,165,165,165,165,164,166,165,164,162,162,161,159,160,131,138,146,151,147,187,146,123,171,165,168,168,169,169,169,169,170,169,169,168,167,168,166,166,165,164,161,160,134,141,149,154,154,202,142,106,177,172,174,174,175,175,174,174,173,175,174,172,172,172,170,170,169,167,165,163,138,146,153,158,159,217,141,106,183,178,180,181,180,180,180,182,182,177,178,182,177,175,175,175,174,171,169,166,142,149,157,162,165,214,137,111,188,183,185,185,191,187,187,177,176,197,183,152,180,183,180,180,178,175,174,173,146,155,161,166,169,219,150,111,191,189,189,191,161,175,221,168,111,175,211,130,131,190,185,186,184,180,179,177,150,159,164,170,175,222,158,119,187,192,208,230,162,152,212,184,133,149,183,159,112,167,197,190,189,186,184,182,155,163,170,175,179,223,185,149,176,201,231,238,224,200,169,169,184,210,148,104,109,138,204,193,193,191,189,187,158,166,174,180,180,219,192,177,192,217,215,217,232,179,174,179,190,189,157,106,70,115,207,196,196,196,193,190,161,169,178,184,183,215,204,189,212,220,192,159,230,187,167,178,158,149,171,130,65,127,213,198,200,198,197,196,164,172,180,187,186,216,221,184,205,207,204,153,181,207,131,109,104,159,186,143,86,167,213,204,203,201,200,199,168,177,183,189,189,219,233,153,187,187,165,161,159,201,136,72,65,206,203,163,100,154,219,206,207,204,202,202,171,180,186,192,193,218,236,165,134,180,141,143,152,181,168,115,80,185,228,180,117,98,212,212,210,208,206,204,173,182,188,193,195,217,239,195,124,141,160,137,169,189,178,118,192,220,218,188,131,80,177,225,213,211,209,208,176,184,190,196,198,215,248,210,147,119,169,139,201,219,185,180,236,224,189,157,126,89,177,228,215,214,211,209,179,186,192,199,202,217,249,219,173,126,141,152,196,229,226,242,228,200,177,135,111,98,209,223,218,220,224,222,181,189,195,202,205,219,250,231,192,147,135,155,187,235,235,241,223,187,155,127,85,137,239,231,230,212,165,113,182,190,197,204,206,220,249,237,203,170,150,158,177,233,239,231,207,173,142,111,82,198,209,159,122,77,50,46,183,191,199,204,207,218,244,237,213,182,172,157,172,217,240,222,190,156,130,102,84,106,65,46,49,57,57,54,184,194,200,205,209,215,234,238,223,192,194,161,161,198,229,216,179,144,122,93,64,40,45,49,44,60,62,48,185,194,200,206,212,213,223,238,228,201,196,171,153,191,207,207,169,134,114,86,52,41,41,57,39,45,61,59,186,194,201,207,213,216,215,231,224,208,192,170,133,181,186,191,153,121,104,65,50,43,27,48,52,37,46,56,185,194,200,205,211,218,209,225,228,208,188,162,131,151,180,164,141,113,93,33,34,57,31,33,54,46,34,44,186,194,201,206,210,218,211,224,239,217,190,163,136,132,166,153,129,106,77,22,16,47,50,28,40,51,39,37,187,195,201,206,211,217,213,224,232,208,178,162,135,130,145,144,120,90,61,42,7,29,53,41,26,47,47,36,189,196,202,207,210,220,203,225,226,178,179,167,142,128,131,138,117,66,42,56,14,14,43,51,32,33,46,41,182,190,197,204,208,223,154,224,230,188,198,178,148,123,126,132,108,41,25,56,28,5,30,50,43,32,35,44
0,144,145,144,144,144,144,144,144,143,143,141,141,141,141,139,139,139,138,137,136,134,134,133,132,131,131,129,128,145,146,145,146,146,144,144,145,145,143,143,142,143,141,141,139,139,139,139,138,135,135,134,132,131,130,130,130,146,146,146,146,146,145,145,146,145,144,144,144,145,142,142,140,141,137,138,138,137,137,135,134,132,131,131,130,148,147,147,147,146,146,148,147,146,145,145,143,136,145,145,143,143,146,139,139,138,136,136,134,133,133,131,131,148,148,149,149,147,147,147,147,145,149,145,125,93,93,138,116,95,103,145,136,135,141,135,137,136,133,132,131,148,149,149,149,148,148,149,136,109,113,138,117,94,61,83,106,80,50,90,99,76,90,139,120,123,136,131,132,151,150,149,149,148,147,148,132,111,83,98,134,94,68,73,119,90,62,48,95,70,35,87,104,84,140,132,131,151,150,150,149,149,149,148,149,124,105,70,120,101,73,69,118,95,63,59,105,84,44,41,101,73,137,133,133,152,151,150,150,149,153,146,133,132,106,58,108,107,74,66,117,94,62,42,92,77,45,31,93,63,122,138,134,152,152,151,151,151,154,136,98,128,86,51,109,96,62,59,104,81,53,31,81,68,36,33,95,65,80,143,133,153,152,152,153,152,149,118,83,125,77,52,103,77,46,52,95,72,43,41,101,81,30,29,98,89,53,112,139,152,151,152,152,154,149,134,109,122,92,65,98,85,50,54,103,79,34,81,122,81,21,45,101,92,55,69,146,153,153,153,153,155,141,120,102,102,91,63,105,100,50,72,117,89,42,73,110,47,20,89,108,89,41,82,145,153,155,155,156,151,123,98,80,67,54,47,106,92,44,63,118,88,38,0,17,5,61,113,108,72,38,128,139,155,155,156,154,149,130,106,82,58,51,48,59,68,43,26,54,53,53,74,42,52,112,109,95,42,79,148,135,156,156,156,152,145,129,108,82,62,59,66,61,66,71,63,67,98,120,116,110,89,99,98,68,35,129,141,136,156,156,157,155,147,131,111,89,66,57,64,73,90,102,111,123,126,116,104,103,82,79,85,38,67,148,137,138,155,156,156,154,149,132,113,95,76,67,66,77,109,122,130,128,122,112,102,98,75,62,65,23,115,147,140,139,156,157,156,153,150,135,118,102,83,81,73,106,135,132,132,128,119,106,97,92,65,52,26,63,149,140,141,140,157,157,156,154,153,140,123,109,97,93,100,130,137,134,133,126,115,103,90,78,55,22,46,140,145,142,142,141,157,158,157,155,153,141,126,115,106,100,121,131,136,138,131,115,106,96,81,66,29,35,139,147,143,144,142,141,157,158,158,154,151,145,132,119,107,102,129,134,137,135,122,106,96,86,71,39,25,131,149,142,144,145,143,141,157,158,159,153,148,144,134,124,110,103,126,135,128,123,108,95,82,73,46,19,119,154,145,146,144,145,143,141,158,160,160,156,150,147,137,132,119,108,121,128,118,110,97,82,69,45,16,108,156,146,149,146,145,144,142,141,159,159,161,157,152,144,136,133,125,114,118,122,110,96,87,72,43,16,106,158,147,149,147,146,146,144,143,142,159,159,160,156,150,142,145,145,134,121,115,113,97,85,76,49,18,110,161,150,152,150,147,146,146,144,144,143,159,159,160,154,153,141,144,145,129,119,110,105,87,68,59,23,107,163,151,152,152,151,148,147,147,145,144,143,159,160,158,151,146,125,141,133,122,115,106,90,78,63,33,60,163,152,153,151,152,150,149,149,147,146,145,143
20,139,142,146,149,152,153,156,158,158,160,162,163,164,162,163,166,162,164,163,164,162,163,160,158,157,156,156,154,141,145,149,151,154,158,158,160,162,162,163,166,163,181,167,148,167,167,165,164,165,163,163,162,161,159,158,157,144,148,151,153,157,160,162,164,164,165,166,169,161,205,172,103,167,144,168,166,166,166,166,165,164,162,159,159,147,151,154,156,160,163,164,166,167,168,170,173,165,208,171,111,189,103,160,173,168,169,169,166,166,165,163,161,149,154,157,158,162,165,166,168,169,171,173,175,168,209,173,123,209,109,142,181,173,173,172,171,169,167,165,164,151,157,158,160,165,167,168,170,173,174,174,176,169,218,193,126,213,132,132,183,175,176,175,173,171,170,168,167,153,157,160,163,167,170,172,173,176,176,179,180,173,223,182,134,223,149,130,186,178,179,178,176,174,173,171,168,155,158,162,165,169,172,174,176,176,176,176,179,181,223,168,149,223,145,124,188,181,182,180,179,176,175,174,172,157,161,165,168,172,175,175,178,180,178,197,194,178,227,173,151,227,136,123,192,182,183,182,181,178,177,176,175,159,164,167,170,173,176,179,180,176,184,243,239,173,132,150,152,222,136,132,195,183,185,184,183,181,180,179,177,162,166,169,173,175,177,181,179,201,215,194,200,178,101,75,121,189,126,139,198,187,187,186,185,183,182,181,180,163,168,172,174,178,180,180,192,238,240,178,142,182,155,140,103,130,112,139,199,189,189,188,187,185,184,183,181,165,168,172,177,179,183,181,204,207,153,210,170,146,203,196,126,85,87,140,200,190,191,189,188,188,187,185,183,167,171,174,179,181,183,181,207,206,98,97,100,68,167,199,142,88,73,138,202,191,194,191,190,191,189,187,187,169,172,175,180,182,186,183,211,188,147,123,80,75,92,212,187,118,65,137,205,194,196,194,192,193,191,189,187,170,174,179,182,184,189,184,217,226,181,127,98,107,89,198,223,152,68,124,209,196,198,196,194,194,193,191,189,171,176,179,184,187,190,186,222,223,154,112,103,122,127,203,241,180,94,113,209,197,200,197,196,196,195,194,191,173,178,181,185,189,192,186,223,222,161,129,125,136,158,234,237,190,113,112,210,198,200,199,197,198,197,195,194,174,180,183,187,190,194,191,224,234,180,146,142,154,203,244,228,176,120,106,209,200,201,201,200,199,198,196,196,176,181,185,188,191,197,193,223,239,197,154,155,174,230,244,224,168,119,109,208,202,203,202,202,203,200,197,196,178,180,184,188,191,196,192,218,243,208,169,159,190,241,235,212,166,114,100,210,206,205,204,204,204,203,199,198,178,180,183,188,191,196,191,214,244,210,184,175,192,244,226,192,160,106,93,207,205,204,202,202,202,202,200,197,178,181,187,191,193,196,195,205,239,219,199,200,189,233,215,183,155,101,89,207,207,207,205,202,202,201,197,201,178,182,188,191,195,196,200,200,230,228,208,211,183,203,193,163,144,90,93,215,208,208,207,206,202,202,208,190,180,184,188,191,195,198,200,197,222,239,215,197,168,169,171,145,148,77,115,223,208,211,209,205,212,208,176,101,181,185,189,191,195,197,209,214,225,240,208,172,134,139,159,142,137,60,155,224,211,212,210,217,184,114,71,56,182,188,192,197,200,206,170,78,157,240,176,147,118,134,168,132,108,67,214,217,214,215,219,170,86,68,61,51,144,149,155,160,164,174,94,0,86,232,187,151,118,148,174,105,83,22,116,209,201,209,165,77,65,59,48,47
2,70,79,90,109,118,125,132,136,137,141,145,148,151,154,156,158,160,161,162,164,164,165,166,166,165,167,166,166,71,80,93,110,119,126,133,137,139,142,145,148,152,155,157,159,162,163,163,166,167,167,168,167,167,168,168,168,72,82,95,111,121,128,135,138,140,144,146,153,152,146,155,158,160,164,165,168,168,169,169,170,170,170,169,169,74,82,98,114,123,130,136,139,141,145,152,180,171,158,153,147,148,156,154,156,165,170,171,172,171,171,171,171,76,84,102,115,124,130,136,143,148,143,167,184,181,185,182,165,140,128,135,120,128,165,172,172,172,172,172,172,77,85,104,116,125,131,136,175,177,171,173,165,152,148,160,175,156,117,93,117,147,136,162,173,173,173,173,174,77,86,105,117,126,132,154,194,177,178,185,183,170,142,112,116,154,136,101,96,130,104,140,174,174,175,175,175,79,88,107,118,127,133,181,161,148,153,158,153,163,163,132,133,119,139,144,125,91,115,164,174,174,176,176,176,80,90,108,119,127,143,173,170,168,160,145,133,153,148,151,151,120,96,134,127,95,162,174,175,175,177,177,177,82,91,111,122,135,179,182,181,172,163,158,152,153,112,88,107,94,109,112,106,125,173,176,176,176,178,178,177,83,94,112,122,174,180,159,145,127,107,110,111,100,83,71,80,147,169,168,165,173,177,178,178,177,179,179,178,82,95,113,136,192,155,114,91,71,67,69,69,76,72,68,82,170,174,176,177,179,177,177,173,173,179,179,179,84,97,114,172,172,130,94,68,57,64,63,63,70,68,64,75,171,176,176,178,178,159,132,121,120,145,179,179,85,99,136,195,145,103,77,64,60,61,61,67,67,61,58,64,165,177,179,178,141,111,117,123,121,105,170,181,87,99,171,179,130,99,83,71,60,59,63,65,63,61,64,59,140,179,180,147,113,127,135,132,119,107,175,182,87,100,180,163,120,95,79,65,55,58,62,67,66,67,67,67,90,171,171,112,128,138,132,119,124,163,183,184,87,104,181,158,121,92,70,58,56,57,64,72,73,74,79,81,78,87,126,116,132,128,106,135,178,185,185,184,89,106,183,155,116,84,66,61,56,60,69,75,81,86,94,99,96,70,105,126,120,100,97,176,186,187,187,186,89,109,183,156,123,94,74,64,57,62,72,84,95,101,108,110,110,87,114,123,107,86,131,188,188,188,187,187,90,113,180,151,124,97,81,71,60,62,75,95,109,112,117,120,119,102,108,121,101,90,171,189,189,189,189,188,92,113,175,147,124,101,88,79,66,63,80,106,117,123,126,130,124,110,97,118,97,101,187,190,190,190,190,190,93,111,169,146,125,109,96,83,68,64,85,113,123,127,128,130,121,104,96,99,99,156,191,192,193,193,193,192,93,110,161,142,127,114,97,83,71,68,88,111,118,122,121,120,111,97,89,124,174,191,194,194,194,194,194,193,94,107,156,143,127,112,95,82,74,74,94,106,110,110,111,109,99,89,127,187,191,192,194,194,194,194,194,193,94,106,155,148,128,110,93,85,81,81,99,103,105,104,103,99,90,117,179,188,189,190,193,193,193,194,194,193,95,109,163,150,126,109,99,93,87,83,96,96,96,94,88,99,139,181,189,190,191,192,193,194,194,194,194,192,94,148,161,156,130,112,104,96,88,78,79,80,80,85,131,168,184,187,189,190,191,192,193,194,194,193,195,200,110,174,132,150,135,110,97,89,80,73,72,70,68,95,176,182,185,188,189,190,191,192,193,194,194,196,195,199
2,176,178,180,182,182,183,184,185,185,185,185,185,184,184,184,183,182,181,180,179,177,175,174,172,171,169,168,166,177,179,181,182,183,184,186,186,186,187,186,184,182,182,181,180,176,171,165,166,174,176,175,174,172,170,169,168,179,180,182,184,184,185,186,187,187,188,186,175,160,158,161,159,151,142,129,119,136,160,171,174,173,172,170,169,180,182,184,185,186,187,188,188,189,189,184,167,150,146,149,148,140,127,113,97,95,117,138,155,173,174,172,171,181,183,185,186,187,188,189,190,190,189,175,160,157,156,154,150,139,119,103,101,103,106,110,128,168,174,173,171,181,183,185,187,188,189,190,191,191,185,165,155,159,157,151,146,138,116,103,109,117,114,102,121,168,175,173,172,182,184,186,188,189,190,191,191,191,183,167,158,153,143,135,142,138,108,99,106,110,109,113,147,175,177,174,173,184,185,187,189,190,191,192,192,192,183,168,160,151,136,126,123,117,126,148,143,134,139,161,176,179,178,176,174,185,186,187,189,191,192,193,193,189,182,174,161,141,119,111,117,133,167,186,184,180,180,182,180,176,173,175,175,185,187,188,190,192,193,193,190,178,172,164,143,111,83,119,168,182,190,190,189,188,186,181,161,136,129,151,173,186,187,189,191,192,193,193,186,169,160,142,112,75,60,123,188,194,194,192,190,188,183,160,120,92,87,117,166,186,188,190,192,193,194,192,182,163,144,113,77,57,60,122,188,194,194,192,190,186,164,126,96,82,80,113,167,187,189,190,192,194,194,190,181,163,134,88,57,55,64,126,190,195,194,193,190,168,127,99,89,81,86,136,174,187,189,191,192,194,194,189,182,163,131,84,56,57,63,113,184,195,195,193,179,133,90,80,81,79,110,165,179,188,190,192,194,194,194,190,181,160,126,81,59,59,58,77,140,178,189,178,143,101,74,69,74,94,150,179,180,188,190,192,194,195,194,189,180,158,120,80,66,62,58,61,80,114,141,124,98,85,78,72,91,142,178,182,181,188,190,193,195,196,194,188,179,157,121,88,73,63,60,62,67,75,84,78,74,78,79,95,146,179,185,183,181,188,190,193,195,196,194,186,177,157,126,94,74,62,60,62,67,73,76,73,73,77,92,145,181,187,186,184,181,188,190,193,195,196,193,182,172,156,126,98,77,61,59,62,68,73,78,77,71,78,129,181,189,187,186,184,182,188,190,193,195,196,192,180,169,153,127,102,78,60,59,64,68,74,80,80,74,102,168,190,189,187,186,184,182,188,190,193,195,196,191,179,169,152,128,103,79,61,59,65,70,75,79,78,84,147,189,192,190,188,186,185,184,188,191,194,195,196,189,178,174,158,129,102,81,63,59,66,72,77,79,75,105,176,194,193,191,189,187,185,184,188,190,193,195,196,187,178,179,162,128,101,82,64,59,67,74,77,76,78,140,190,193,192,190,188,186,185,183,187,189,191,193,193,184,179,178,157,125,100,84,66,58,68,74,74,71,106,174,193,192,190,189,187,185,183,182,186,187,189,192,192,182,178,173,150,120,99,85,68,59,67,71,69,88,154,190,192,191,189,188,186,185,182,181,185,187,189,191,191,181,174,165,142,116,99,85,69,59,64,68,81,139,186,193,192,190,188,187,186,184,182,180,185,186,188,190,190,178,169,156,133,112,96,82,67,59,63,85,136,183,194,193,191,189,188,187,185,183,182,180,183,186,188,190,188,176,163,149,128,108,93,80,67,59,77,139,182,194,194,192,190,188,187,185,184,182,181,179
7,130,129,129,130,129,129,129,127,126,124,124,124,122,121,120,120,119,118,117,115,113,113,111,110,109,107,106,104,132,131,131,131,129,129,129,129,128,126,126,126,123,123,123,123,121,119,118,117,115,115,114,112,111,109,107,106,134,134,132,132,131,130,130,130,130,130,128,127,126,127,126,123,123,122,120,120,118,116,115,113,114,111,109,108,136,135,135,136,135,133,133,133,132,131,130,129,129,129,127,126,125,123,122,122,120,118,116,115,115,113,111,109,138,138,137,137,136,135,135,135,133,133,132,130,131,131,129,127,126,124,124,123,122,121,119,118,116,115,113,112,139,140,138,138,137,137,137,135,135,135,133,132,131,131,132,128,129,128,125,124,124,122,122,119,116,116,114,113,141,141,140,139,139,139,138,138,137,136,135,134,133,132,133,132,131,130,128,126,124,123,123,121,120,118,116,114,144,143,141,142,142,141,140,139,136,136,140,141,139,136,135,133,132,131,130,129,127,126,124,122,122,120,117,117,144,145,143,142,143,142,139,147,129,100,123,111,124,134,139,139,138,133,130,129,129,127,125,123,123,122,119,118,144,144,145,144,144,142,142,163,138,146,134,66,51,68,91,103,117,134,138,134,130,128,127,125,125,124,122,119,147,146,146,146,146,142,153,156,151,164,132,82,67,52,49,60,60,70,96,123,130,132,131,129,126,124,123,121,148,147,147,147,147,145,157,150,157,154,132,126,130,87,45,44,51,51,49,50,65,78,98,118,131,125,124,123,150,149,148,149,145,150,159,159,163,150,142,148,135,106,73,48,48,49,41,46,47,49,46,79,132,128,126,124,150,151,150,151,148,155,158,163,159,148,146,143,128,120,107,76,45,47,41,42,50,51,48,44,64,89,124,125,151,149,150,149,151,160,164,157,150,145,138,132,133,135,118,87,53,43,49,45,56,50,43,39,36,47,117,128,153,151,152,148,152,161,166,157,148,141,125,128,138,135,116,82,59,50,37,65,131,118,101,92,88,104,129,127,153,153,153,145,156,162,163,149,144,140,130,130,136,120,98,74,56,55,47,59,141,141,140,140,138,135,129,128,154,153,153,144,163,168,159,139,141,142,133,128,119,92,84,73,54,58,64,53,121,142,135,135,134,132,131,129,156,155,147,145,170,164,153,141,139,134,126,121,95,86,86,70,61,57,56,87,139,139,137,136,134,132,131,130,156,158,139,152,169,158,147,147,137,129,122,106,91,93,80,68,42,34,84,136,143,140,139,138,135,133,132,131,157,153,135,163,162,150,145,144,126,124,113,99,100,91,70,64,64,113,146,144,141,141,141,139,135,133,131,130,160,140,141,165,156,147,145,135,127,118,107,102,95,80,59,107,151,150,145,143,143,142,140,138,136,135,133,130,156,131,154,157,152,146,138,134,121,107,106,96,83,63,81,150,150,146,147,146,145,143,141,140,137,135,135,132,144,140,155,149,150,149,129,117,103,100,97,84,67,74,140,153,148,148,147,147,145,143,143,141,139,136,135,132,136,150,150,148,151,135,110,99,91,85,80,66,83,141,155,150,150,149,149,145,145,144,144,141,139,137,135,133,134,150,154,159,131,111,99,85,76,68,59,72,146,157,151,152,151,149,149,146,145,145,144,141,139,138,136,134,140,142,158,146,107,113,91,71,63,58,66,130,159,152,153,152,151,149,148,148,147,145,143,142,141,139,137,134,139,140,146,131,111,119,90,63,55,66,140,160,156,155,153,152,151,151,150,149,147,145,144,143,141,138,137,136
23,205,208,214,215,216,218,220,221,221,223,225,223,223,222,223,224,224,224,224,225,224,225,225,224,225,222,223,222,208,211,215,217,218,221,221,223,225,223,223,223,224,225,226,228,229,228,229,225,225,226,226,225,226,225,224,224,212,215,217,221,222,223,224,225,228,226,226,227,229,225,225,221,209,214,228,233,229,229,230,229,229,229,227,226,214,216,221,222,224,227,228,229,228,231,233,231,226,242,255,233,206,186,203,186,217,236,233,233,232,232,231,228,215,218,222,224,227,228,231,232,231,233,234,231,247,255,243,212,179,177,154,122,220,239,235,235,235,234,234,232,217,221,224,226,229,232,232,233,232,233,235,253,252,201,192,146,162,170,168,212,239,234,237,236,237,238,237,237,220,223,226,228,231,233,233,235,236,234,236,246,217,149,142,197,247,244,249,244,237,240,240,238,239,240,240,238,224,226,229,232,233,234,235,235,238,237,238,234,198,160,150,255,237,238,229,230,244,239,242,243,243,241,241,241,225,228,231,234,234,237,238,238,240,240,242,236,198,194,143,237,238,252,234,145,212,248,243,244,245,245,242,242,226,231,234,235,236,239,240,241,242,242,240,243,221,195,173,254,255,255,231,128,166,255,244,246,245,245,243,243,229,233,235,235,240,241,241,242,243,243,241,250,232,242,255,255,243,239,221,107,128,197,203,252,244,245,244,243,229,233,236,237,241,241,242,243,244,244,242,241,248,255,253,242,247,233,184,114,56,141,150,254,249,247,247,245,231,233,237,240,241,241,244,245,246,245,240,241,251,255,255,241,240,225,127,93,48,108,98,145,255,251,249,249,233,234,237,241,242,242,245,246,246,250,247,246,248,253,244,233,240,212,115,83,53,81,97,68,152,255,248,250,234,236,239,242,242,244,247,248,246,255,255,239,241,242,242,244,227,165,106,90,56,66,95,98,87,247,253,250,235,237,240,242,244,246,248,249,248,250,255,243,246,248,235,204,151,95,111,98,60,61,93,84,151,255,250,251,236,238,240,242,246,248,248,249,251,240,249,244,240,218,183,133,65,76,115,93,52,76,102,92,234,255,253,252,235,240,242,244,247,248,248,250,253,243,246,240,232,219,159,103,58,102,99,55,50,84,91,166,255,253,255,254,234,239,241,245,247,248,249,250,253,245,242,236,243,222,129,75,61,75,50,50,66,82,98,240,255,255,255,255,235,238,240,243,243,246,249,249,251,243,237,236,247,197,125,95,53,48,55,70,93,78,153,255,255,255,255,255,236,239,241,243,245,247,248,248,250,243,238,245,250,203,139,109,58,54,90,105,113,88,209,255,255,255,255,255,235,239,242,244,247,248,248,248,251,240,234,255,245,204,153,116,79,62,102,115,118,94,230,255,255,255,255,255,234,239,242,244,248,249,249,248,252,240,227,255,242,203,158,119,93,65,103,118,112,110,254,255,255,255,255,255,234,239,243,244,247,249,250,249,252,237,228,247,238,200,154,117,99,72,99,123,97,149,255,255,255,255,255,255,236,239,241,244,247,248,250,249,254,226,224,243,232,192,152,115,97,81,91,113,88,225,255,255,255,255,255,255,238,242,246,247,252,255,255,255,255,223,239,244,218,185,147,115,97,90,86,90,186,255,255,255,255,255,255,255,147,154,161,165,168,171,175,184,179,203,255,248,213,173,139,115,97,95,80,167,249,241,243,252,253,246,243,240,112,112,114,114,114,116,119,118,103,219,255,246,210,162,137,117,96,93,103,129,143,165,175,209,227,213,222,221
10,37,87,72,0,24,56,59,66,74,85,103,111,119,127,131,136,138,139,142,146,150,153,154,156,159,161,162,163,45,94,63,0,33,57,61,68,75,85,105,113,120,127,131,137,138,140,147,148,152,154,156,158,160,162,164,165,59,97,51,0,40,57,62,69,77,89,105,114,124,129,134,136,146,142,130,152,153,155,157,159,162,163,165,168,74,99,40,0,46,57,64,70,76,93,109,115,124,131,137,133,169,142,95,153,154,155,159,160,163,163,167,170,84,99,27,0,51,58,65,71,78,96,110,117,126,133,137,135,172,154,92,148,157,157,161,162,164,166,169,170,87,101,15,4,54,59,66,74,81,98,111,120,127,133,139,136,169,160,86,137,161,158,162,164,166,168,170,170,94,101,4,10,55,59,66,73,81,101,113,121,127,133,139,141,161,169,101,116,167,159,163,165,169,169,171,172,100,95,0,20,57,59,68,75,84,102,118,124,130,135,142,141,154,172,114,93,167,161,164,167,170,171,172,175,106,88,0,29,58,61,66,75,82,135,117,86,129,136,140,144,150,163,126,78,153,166,166,168,172,173,173,175,112,77,0,35,59,59,77,82,90,151,108,66,98,143,140,145,148,175,148,73,128,171,165,169,172,173,175,177,117,65,0,44,53,80,151,84,73,129,129,85,65,135,143,148,145,194,168,83,104,174,164,171,172,174,177,178,120,49,0,50,56,79,118,67,48,88,150,115,62,107,155,146,147,189,155,96,87,173,166,171,174,176,177,179,120,35,0,53,60,64,77,76,57,70,147,117,74,59,117,149,154,172,144,105,74,165,170,171,176,178,179,180,121,21,2,59,60,67,74,82,83,72,141,122,77,56,52,100,153,149,138,116,69,154,175,173,177,180,182,183,119,10,12,62,62,68,76,83,98,106,164,149,99,64,51,49,89,110,127,116,71,145,177,174,178,180,182,183,112,0,19,61,62,68,77,82,95,143,186,162,123,75,54,37,53,74,105,110,66,132,181,175,178,181,182,184,104,0,26,63,63,69,76,84,167,178,172,171,141,99,66,52,58,82,92,98,59,111,184,176,179,182,183,183,93,0,35,65,64,71,71,105,198,183,173,170,158,126,81,61,62,72,85,85,54,106,185,174,180,184,184,185,79,0,42,65,64,71,73,100,203,183,173,180,160,132,82,59,52,61,77,72,47,138,185,176,181,184,184,187,63,0,48,64,66,72,77,87,163,120,181,187,151,122,77,60,54,66,79,64,73,175,178,181,182,183,185,187,46,0,53,65,66,73,79,84,120,96,204,171,139,120,86,68,58,66,75,55,122,183,176,182,182,183,185,186,30,0,59,64,66,73,82,80,155,177,200,174,136,114,92,72,65,64,67,62,164,179,179,181,183,184,186,188,15,2,61,63,66,74,79,90,193,199,198,162,139,100,92,76,69,63,53,99,182,177,181,182,183,184,187,189,4,10,62,63,66,75,74,108,211,196,186,149,134,91,84,80,71,59,53,156,179,178,182,184,184,186,189,190,0,16,64,63,66,75,75,106,209,199,173,137,120,87,78,77,74,49,94,181,175,179,181,183,185,187,189,190,0,22,66,63,68,76,75,109,215,189,167,128,112,87,76,72,67,42,135,181,176,179,180,183,185,187,189,190,0,30,67,64,68,77,76,114,201,172,171,139,124,95,72,65,54,51,156,176,177,179,180,184,187,189,190,191,0,35,66,64,69,76,80,101,166,169,178,164,137,100,71,58,42,68,171,174,177,181,182,184,187,189,190,192
6,171,173,176,177,178,181,182,182,182,182,182,181,180,179,177,177,176,175,174,172,170,169,168,166,167,165,163,162,173,176,179,179,180,182,182,184,184,182,183,183,183,181,180,178,177,176,176,174,172,171,170,170,170,168,165,163,175,178,180,181,183,184,184,185,184,184,184,184,185,183,181,180,181,179,178,177,176,174,172,171,170,169,167,165,178,180,181,182,185,184,185,186,186,187,186,185,185,184,184,182,182,181,180,179,179,176,173,172,171,170,168,166,178,181,185,184,186,187,188,188,187,188,188,187,187,185,183,183,182,180,180,180,179,178,175,174,172,171,170,168,179,182,186,186,187,188,188,189,189,188,188,187,187,185,184,186,186,184,185,185,183,184,181,178,174,173,171,169,182,183,187,187,189,192,191,190,190,189,190,192,191,189,187,186,182,176,167,161,162,153,145,140,138,116,146,164,185,186,188,189,190,192,192,192,192,191,188,174,165,168,166,150,132,117,96,113,130,138,121,119,118,90,148,165,186,188,190,192,192,193,193,195,195,178,163,128,119,122,127,138,125,110,100,104,120,131,111,105,96,75,94,113,186,188,192,194,194,194,196,193,188,176,160,140,123,107,68,93,102,97,73,54,63,55,55,57,68,77,99,136,188,190,193,194,195,198,192,189,177,159,154,140,135,135,66,24,24,20,25,68,103,128,144,163,178,179,182,181,189,192,194,197,197,191,178,181,156,139,147,147,152,110,49,28,8,92,154,185,197,196,193,190,187,184,181,178,190,193,197,194,186,176,172,159,147,144,139,149,150,92,32,29,23,81,206,192,189,186,186,186,186,184,182,180,191,194,192,185,176,174,165,156,153,142,137,148,138,123,80,31,29,6,104,207,189,190,188,188,187,185,183,181,195,187,183,183,176,170,157,152,148,139,135,137,138,140,104,46,23,31,21,169,199,190,189,189,187,187,184,183,161,193,185,176,166,163,151,144,138,133,132,134,141,139,91,44,28,31,5,126,209,190,191,190,188,187,188,186,35,113,194,185,164,152,143,134,131,130,128,130,138,138,107,54,22,25,28,179,200,194,192,192,192,189,187,186,34,17,70,161,164,146,144,140,135,133,135,132,140,138,127,77,26,19,27,185,200,196,194,194,192,190,188,187,28,31,0,19,119,161,140,133,133,131,137,139,138,139,120,68,30,32,10,160,209,195,195,194,192,193,190,188,26,6,2,0,5,99,133,133,135,135,128,117,113,108,81,57,39,36,26,184,207,198,197,195,193,193,190,188,5,0,0,0,0,0,69,126,131,125,114,99,89,77,60,50,48,47,11,115,218,197,198,196,195,193,192,189,0,3,1,0,0,0,0,50,124,126,108,91,78,92,81,45,47,47,4,116,217,197,200,198,196,195,192,190,0,4,5,0,0,0,0,0,45,103,87,70,48,70,43,25,42,44,103,203,204,202,202,199,197,197,194,193,0,4,0,0,0,0,0,0,0,39,43,40,98,181,157,131,159,184,211,207,205,203,202,201,199,197,195,194,0,0,0,0,0,0,0,0,0,0,49,185,215,220,221,221,217,213,205,206,205,204,203,201,200,197,195,193,0,0,0,0,0,0,0,0,0,9,205,221,209,210,209,207,207,206,206,204,204,204,202,200,198,196,194,193,0,0,0,0,0,0,0,0,0,77,236,205,211,211,211,209,209,207,204,203,204,203,202,200,198,196,195,190,0,0,0,0,0,0,0,0,0,119,231,210,213,210,211,210,210,208,207,205,204,202,201,201,201,198,193,189
12,130,132,134,137,138,138,142,145,145,146,146,146,148,147,147,148,147,147,148,148,147,146,146,146,145,144,144,144,132,135,136,138,140,141,143,146,148,148,147,148,148,149,149,149,149,148,150,151,150,148,148,147,147,146,145,145,133,136,138,139,141,142,145,145,147,150,150,149,150,151,150,151,151,152,151,152,151,152,151,149,149,148,147,147,133,136,139,140,141,143,146,147,148,149,150,152,153,151,151,153,154,152,151,152,153,153,152,151,150,150,149,148,135,138,140,142,144,145,147,149,150,152,153,154,153,152,157,156,153,153,156,154,152,153,152,152,151,151,151,150,136,138,140,143,146,147,150,151,151,153,153,152,154,153,141,150,159,146,125,146,157,152,152,153,153,153,153,152,138,140,142,144,146,148,151,153,154,153,155,151,173,171,122,117,181,141,85,91,165,156,160,154,154,155,155,154,139,141,144,145,147,148,151,153,154,154,154,153,198,181,133,109,176,137,84,50,126,114,122,161,155,156,156,156,141,143,146,147,150,150,151,153,153,156,163,124,134,170,126,99,169,131,78,58,142,104,47,128,163,155,157,158,140,143,145,148,150,152,154,156,150,182,174,137,78,125,121,88,164,131,67,95,153,114,56,79,169,157,158,157,141,143,145,148,151,153,155,154,166,199,187,147,93,78,140,88,179,166,95,120,159,125,59,69,168,159,159,157,142,146,147,149,152,153,156,151,185,171,181,150,96,65,155,92,154,155,73,129,192,139,53,73,169,159,160,160,143,146,149,151,152,156,157,156,193,164,168,150,95,49,87,76,46,105,88,127,147,85,30,80,170,159,160,161,145,148,149,152,154,158,154,181,193,147,155,145,97,54,32,34,30,133,170,155,127,104,39,89,172,160,162,161,146,149,151,154,155,157,156,195,177,130,135,140,99,62,49,53,133,160,149,139,118,107,61,108,174,162,163,161,147,149,152,155,157,156,166,195,168,143,113,132,135,63,40,155,182,155,139,126,96,81,60,113,174,162,165,163,148,150,153,156,158,155,180,195,172,155,120,99,110,63,111,195,180,152,135,117,87,76,51,123,175,164,166,164,150,152,153,157,160,155,187,194,172,149,140,106,103,125,180,192,178,145,128,106,79,70,46,139,174,166,166,165,150,152,155,158,161,156,188,193,174,156,146,121,124,132,185,192,171,139,118,98,74,68,38,128,176,164,167,167,152,153,155,158,161,157,186,198,179,164,155,133,114,144,189,185,160,137,110,87,70,62,38,148,174,165,167,167,152,154,157,159,162,160,180,198,180,165,154,138,119,165,181,167,149,130,104,79,68,41,99,178,167,167,168,168,153,156,159,160,162,161,175,195,173,161,144,130,139,170,157,153,136,116,93,75,46,86,175,171,169,169,170,168,154,156,158,160,163,161,179,192,167,159,141,139,158,168,146,145,126,104,86,58,81,172,172,172,172,171,170,170,155,157,160,162,165,159,188,191,175,168,153,152,167,165,143,135,116,100,72,63,162,176,172,173,171,171,171,171,156,158,161,163,167,159,202,199,187,169,160,165,166,152,139,113,100,84,53,124,178,173,174,173,173,173,172,171,156,159,161,163,164,164,206,197,195,174,167,166,154,143,122,96,90,55,98,176,176,176,175,174,173,173,172,172,156,160,162,165,162,168,196,184,188,168,165,154,148,126,107,93,74,64,159,179,177,178,176,174,174,173,173,173,157,160,164,166,159,173,192,167,164,154,153,156,140,113,109,88,56,105,178,178,178,178,177,176,175,175,174,173
3,125,133,139,142,145,148,152,155,157,159,160,161,163,163,163,163,166,165,163,164,164,163,163,163,162,161,160,160,129,137,142,145,149,153,157,160,161,163,165,166,167,167,168,172,146,161,170,167,169,168,167,167,166,165,163,163,133,141,146,149,152,157,160,163,165,168,169,170,171,171,172,177,121,124,180,171,173,172,172,171,170,169,167,166,136,144,150,153,157,161,164,168,170,172,173,173,175,176,177,177,121,96,176,176,176,176,175,175,174,172,170,170,139,147,153,155,160,164,168,171,173,175,177,177,179,179,180,183,124,84,165,183,179,179,178,178,177,175,174,173,142,150,156,159,162,167,171,174,176,178,180,180,182,183,182,188,133,81,154,190,181,182,182,181,179,178,177,177,145,152,158,161,165,170,173,178,180,181,182,183,185,186,184,201,151,84,138,195,185,186,185,184,182,181,180,179,147,154,160,164,168,172,176,179,182,184,185,187,186,188,176,180,141,79,125,197,187,189,188,187,186,185,183,183,150,158,163,166,170,175,178,182,184,186,188,191,191,211,188,140,104,90,118,197,190,190,190,190,189,188,186,186,153,160,165,169,173,178,181,185,185,188,191,182,159,197,210,164,96,140,129,188,196,193,193,193,192,191,189,188,154,161,166,170,176,179,183,186,189,188,203,196,162,155,218,174,142,182,101,160,204,195,196,195,194,193,191,190,157,163,168,172,178,181,185,188,192,173,169,207,197,150,190,172,152,163,90,109,204,197,197,197,196,195,194,193,158,165,170,174,179,182,187,189,200,193,166,160,202,160,165,170,128,162,122,89,155,207,197,198,198,198,197,195,160,166,172,176,180,183,189,193,191,203,196,141,153,177,138,172,128,145,151,109,111,207,199,199,199,198,197,197,161,167,173,176,182,186,190,195,185,148,170,124,103,157,107,172,171,113,149,119,110,204,202,202,201,200,200,199,162,168,174,178,182,187,191,195,194,144,148,126,89,137,111,110,111,75,133,124,106,204,204,203,202,201,201,199,163,169,175,179,183,188,193,195,202,177,132,124,102,121,158,101,58,92,156,131,95,191,209,203,203,203,202,202,162,168,173,179,184,188,193,196,199,167,124,107,94,82,125,109,96,132,169,133,90,177,214,204,204,205,204,203,163,168,173,178,184,188,192,194,198,188,152,115,95,86,97,151,164,167,150,120,97,187,211,204,205,204,204,204,164,170,175,179,184,188,192,194,202,196,159,121,114,121,132,200,206,179,145,104,109,205,207,204,205,205,202,199,165,172,177,181,185,189,193,195,200,198,172,141,129,123,143,201,197,166,139,100,129,216,210,206,209,189,172,197,160,167,174,179,185,190,195,199,202,197,176,149,130,126,139,194,192,156,128,95,149,209,191,193,192,157,154,199,111,112,116,120,125,128,131,136,140,182,179,151,142,142,130,186,184,149,116,94,144,189,167,153,185,127,161,189,107,108,110,111,110,110,111,112,105,146,184,160,149,147,123,166,171,137,107,101,168,161,172,149,159,116,177,180,109,110,111,113,114,115,119,120,115,127,186,165,148,142,115,135,149,114,97,137,174,153,157,163,126,125,184,175,109,111,112,111,114,114,113,117,109,161,207,165,143,130,108,116,119,101,107,157,168,153,154,155,116,152,176,176,108,110,112,112,114,114,114,115,111,183,204,163,142,122,111,112,109,92,143,154,142,153,148,141,139,158,172,176,107,109,112,111,111,113,114,113,117,185,192,163,144,132,119,109,101,93,169,157,113,147,149,141,155,152,180,172
16,94,91,89,87,87,90,89,92,92,98,112,123,134,143,152,159,162,165,169,170,176,183,187,191,195,199,202,205,93,91,89,87,87,88,89,91,90,98,112,123,134,142,150,160,164,162,166,172,177,179,186,191,194,198,201,204,93,90,88,86,87,88,89,89,89,98,110,121,132,142,151,157,161,182,166,145,167,186,188,187,193,197,200,203,92,89,87,86,86,86,88,89,88,98,111,121,132,139,151,157,193,200,167,137,114,129,171,197,194,195,199,202,93,89,86,85,86,86,87,87,88,97,111,125,123,181,199,195,201,174,146,139,121,92,89,138,193,204,203,204,92,89,86,85,86,87,87,85,87,96,112,109,148,222,196,182,176,157,138,120,112,108,91,75,103,159,188,204,90,89,87,85,85,85,86,86,85,98,101,130,208,191,165,162,151,142,125,101,106,111,98,90,82,81,101,129,90,89,86,85,85,84,86,86,88,91,107,194,191,161,154,142,123,115,101,100,96,110,111,94,94,86,82,80,89,86,85,83,84,81,84,87,78,115,171,173,152,147,131,112,103,93,95,97,76,112,110,118,99,91,85,81,86,84,83,82,84,82,85,77,95,204,174,144,138,123,102,95,86,81,93,80,67,120,114,131,106,97,85,77,83,81,76,77,78,78,83,57,175,221,170,137,108,96,91,84,72,82,83,52,74,125,117,129,112,99,84,78,148,143,141,136,130,128,119,129,220,197,155,114,84,73,72,66,72,81,55,35,89,121,116,136,120,111,92,87,127,124,123,121,120,120,115,204,200,170,125,90,69,65,62,46,51,43,25,22,90,115,117,150,144,125,104,89,119,118,118,119,120,106,148,202,161,131,96,75,62,66,52,26,20,13,16,13,76,116,125,159,146,126,119,83,124,124,124,126,120,125,203,174,127,90,78,66,64,65,50,19,9,11,15,10,53,104,137,166,119,124,124,76,125,127,126,128,111,175,203,140,97,65,62,66,71,73,73,57,18,13,16,19,18,100,172,140,97,117,110,68,126,128,131,119,142,193,147,102,67,91,78,70,76,80,77,78,48,43,48,37,42,167,164,112,91,96,82,68,124,128,125,128,193,150,102,64,86,139,98,100,95,89,84,75,66,63,65,42,136,180,132,96,82,76,67,68,127,127,114,182,170,103,66,70,122,110,92,98,100,91,87,79,68,69,46,80,198,158,110,77,70,64,65,69,126,127,122,162,120,71,74,118,125,112,116,101,84,75,77,71,64,68,61,152,202,159,86,64,62,59,67,66,124,127,127,126,114,109,122,125,126,127,124,118,109,93,104,103,100,115,117,201,201,165,84,50,57,75,72,65,124,125,126,126,127,128,125,124,125,125,126,128,128,129,129,128,129,129,120,204,206,165,95,51,91,81,71,69,121,124,126,125,124,124,124,123,126,126,126,127,126,126,126,125,126,127,117,178,189,153,85,102,154,96,90,86,120,123,124,124,124,125,124,124,125,125,126,127,127,126,127,126,127,129,122,142,161,113,85,124,160,127,98,99,120,122,123,124,124,124,124,125,125,125,125,126,127,126,126,127,127,127,126,127,131,105,106,120,148,177,126,112,120,122,122,124,124,123,123,123,124,125,125,126,127,127,126,127,127,127,125,126,126,127,129,124,124,190,161,141,120,121,123,125,123,123,123,123,124,125,125,125,126,126,126,126,128,127,126,127,126,126,128,130,115,182,188,160,122,120,123,123,122,122,124,123,124,124,123,123,124,124,124,124,126,126,126,126,127,126,128,130,112,166,203,173
17,127,131,133,138,144,147,149,154,157,158,160,162,163,164,164,163,164,164,162,156,163,161,162,161,161,159,157,157,128,132,134,140,145,149,153,156,158,160,162,163,164,166,166,167,163,170,172,113,150,167,162,162,162,160,158,158,130,133,135,140,146,151,154,157,160,162,164,166,166,167,169,166,176,169,120,86,136,172,164,163,162,162,161,160,131,135,137,141,147,154,156,158,161,163,165,169,169,170,171,166,185,180,130,64,132,174,165,165,164,163,162,161,132,135,138,143,149,154,157,160,163,165,167,169,171,170,172,168,180,185,156,78,140,175,166,167,166,165,164,162,134,137,139,145,150,155,159,162,164,167,168,170,171,172,172,171,176,197,174,105,150,175,169,168,168,167,166,164,136,138,142,147,152,156,160,162,166,168,169,172,174,174,175,174,179,205,181,122,147,178,170,170,169,168,167,165,137,139,143,148,153,158,161,163,167,169,171,174,174,175,175,173,181,208,183,126,127,181,172,173,170,169,169,168,138,141,143,150,155,159,162,166,168,171,174,175,177,180,178,174,194,212,195,142,107,179,174,175,173,171,170,168,139,142,144,152,156,160,164,168,169,172,175,175,158,161,181,179,205,208,192,148,101,175,177,175,174,174,171,170,141,143,146,152,157,162,166,169,171,174,180,179,146,94,171,194,171,177,184,142,97,170,178,176,175,175,174,172,141,144,148,153,159,162,167,169,171,168,181,171,147,75,109,148,129,171,181,145,90,169,181,177,177,175,175,174,142,144,148,154,159,164,166,173,180,181,183,149,142,128,93,82,134,183,165,148,95,167,184,178,177,177,176,176,144,146,150,157,161,166,167,183,197,186,202,183,178,160,106,71,132,169,156,144,100,157,186,179,178,178,177,177,144,147,150,158,162,168,169,183,196,142,173,194,179,156,137,94,86,126,137,129,93,141,190,180,181,180,179,178,145,148,152,158,163,168,172,176,188,154,95,115,147,163,162,131,83,72,98,108,88,131,192,180,182,181,180,179,146,148,154,159,164,170,174,175,190,172,119,59,92,138,177,154,121,86,72,92,80,139,194,182,183,183,181,180,147,149,154,161,165,171,174,178,202,183,196,98,88,151,190,161,139,114,73,71,65,146,194,183,185,184,182,180,149,150,155,161,166,172,176,176,211,200,156,114,118,217,193,166,144,122,70,56,56,159,193,185,185,184,184,182,149,151,155,163,168,173,178,176,213,195,144,151,185,209,190,151,143,110,67,54,67,186,189,188,186,186,185,183,149,152,156,163,169,174,178,178,212,189,173,169,219,183,180,157,125,106,69,46,122,201,187,188,187,187,186,184,150,152,158,164,170,174,179,181,207,203,174,177,216,185,178,176,131,90,66,54,175,196,189,189,188,187,187,185,151,152,158,165,170,176,181,181,203,211,175,184,207,181,163,159,120,78,58,72,194,191,191,191,189,188,188,187,151,153,158,165,172,177,181,181,197,210,179,170,187,155,141,126,88,71,51,106,205,190,193,191,189,189,188,188,151,154,160,166,172,176,182,184,192,203,167,144,158,144,128,103,78,74,53,166,203,193,194,192,191,189,189,188,150,152,159,165,170,176,181,181,192,197,140,132,149,158,137,106,87,62,92,203,194,195,194,193,192,190,190,188,149,151,158,165,169,183,122,38,159,193,172,172,157,162,148,106,84,56,152,203,194,195,193,192,191,190,189,188,149,151,158,165,175,160,79,33,113,193,176,164,157,156,146,110,74,69,183,197,195,195,194,193,192,190,189,188
1,168,169,170,170,170,171,171,171,172,171,171,171,171,170,169,169,161,145,163,164,164,162,160,158,158,157,155,153,172,172,173,173,174,174,174,175,175,174,174,174,174,174,166,160,164,112,154,168,166,165,163,161,160,159,157,155,176,176,177,177,178,178,178,179,178,178,177,178,177,181,166,122,159,102,112,137,167,168,166,165,164,163,160,158,180,180,180,181,182,182,181,181,181,181,181,181,181,186,158,114,157,92,77,97,151,172,170,167,166,165,163,161,183,183,183,183,185,185,185,185,184,185,185,185,185,188,140,116,154,83,97,106,134,176,172,170,169,168,166,164,187,187,187,187,187,187,188,187,186,186,187,169,169,187,125,127,156,88,118,112,122,178,175,174,172,171,169,167,190,190,191,191,191,192,192,191,189,189,189,157,130,184,124,143,147,86,127,116,120,181,179,177,174,172,171,169,193,193,194,195,194,194,194,194,194,193,190,144,123,172,116,155,130,87,146,125,121,184,182,180,178,175,174,172,195,196,196,197,196,195,195,195,195,195,190,126,133,155,114,165,131,107,165,121,120,186,184,182,180,178,176,175,198,199,199,199,199,198,198,198,199,198,189,119,140,157,120,170,136,112,165,115,123,189,186,184,183,180,179,178,200,200,201,201,201,202,201,200,200,201,181,107,144,163,113,166,130,101,162,125,133,192,188,186,185,183,181,179,203,202,202,203,203,203,202,202,202,203,173,101,150,151,95,152,110,99,168,124,135,194,190,188,188,186,184,181,204,205,205,205,205,206,205,205,205,205,175,104,145,141,104,156,110,110,161,117,135,196,193,192,190,189,186,184,206,207,207,207,207,207,207,206,206,205,164,110,151,146,147,163,140,116,130,114,135,198,195,195,192,190,188,187,207,208,208,208,208,208,208,208,208,201,168,156,145,128,137,142,144,128,113,106,112,193,196,195,194,192,189,188,209,209,210,209,209,209,209,209,208,202,179,149,120,112,124,142,146,126,117,117,97,177,200,196,195,194,191,189,210,210,211,210,210,211,211,212,211,202,168,125,107,110,126,156,152,141,160,150,103,152,204,200,198,195,194,192,212,211,212,212,212,213,213,214,209,198,161,116,109,120,137,164,173,172,155,163,127,127,202,201,199,196,195,193,213,214,214,214,214,214,214,214,204,196,168,119,101,123,150,174,185,191,150,163,140,105,194,202,200,198,196,194,214,215,215,215,215,215,215,216,201,195,178,130,97,124,156,178,185,186,166,149,113,90,191,204,202,201,199,196,215,216,215,216,216,217,217,218,199,193,182,142,108,113,158,188,190,183,156,135,90,109,203,205,202,202,200,198,215,216,216,216,217,218,218,219,199,182,175,145,116,113,168,198,196,180,145,112,79,158,209,206,204,203,202,200,215,216,216,217,218,218,217,219,205,177,167,147,124,122,175,193,180,160,126,92,92,198,209,207,206,203,202,201,214,216,216,216,217,217,218,219,212,182,169,153,134,131,175,184,168,140,107,75,133,211,209,207,206,203,201,201,215,216,217,217,217,218,218,219,217,186,171,163,142,131,164,167,150,118,84,78,184,210,208,207,205,202,200,199,216,216,217,217,218,218,218,219,219,192,175,164,143,130,146,140,116,87,65,140,211,210,209,208,205,202,200,199,215,216,217,218,218,219,219,219,214,192,179,164,146,132,131,120,88,65,132,208,213,211,209,208,206,204,203,193,215,216,216,218,218,219,219,220,203,187,185,170,160,142,121,103,67,94,207,215,213,212,210,208,206,192,161,115
1,148,152,155,156,159,162,164,165,165,167,167,168,169,168,168,169,169,168,168,168,169,169,169,168,168,167,166,165,151,155,159,159,163,165,166,167,168,169,170,171,170,171,171,172,172,172,172,171,171,172,172,173,172,170,169,169,154,158,161,163,166,168,170,171,171,172,173,173,174,174,176,176,174,176,176,175,175,176,176,176,175,174,173,172,157,160,164,166,170,171,173,173,174,176,176,176,178,179,159,166,180,178,178,177,178,178,178,178,177,177,175,173,160,163,167,170,173,175,176,177,178,178,178,180,173,184,151,124,189,183,178,179,180,180,181,180,178,178,178,176,162,166,170,174,175,178,179,179,179,180,180,193,167,151,159,100,150,164,184,182,183,183,183,182,181,180,179,178,165,170,173,176,178,180,181,182,181,183,182,199,166,145,169,95,137,111,186,185,186,186,187,186,184,184,183,181,169,173,175,179,181,184,184,186,185,186,181,201,175,141,187,116,143,109,168,190,188,187,188,188,187,186,185,184,172,175,177,181,183,185,187,187,188,191,169,160,193,130,187,128,143,131,144,195,190,191,189,189,189,188,187,185,174,178,181,184,186,186,187,191,190,198,167,130,197,125,175,144,155,172,126,193,193,194,193,193,191,190,189,187,176,179,181,185,187,188,190,192,191,203,171,135,195,132,178,162,140,187,126,178,197,195,195,194,194,192,191,190,177,180,183,186,189,190,192,193,193,208,172,143,212,148,168,174,124,191,145,153,202,197,196,196,195,195,193,193,178,183,186,187,190,192,194,196,195,207,170,135,207,133,133,172,113,196,165,133,203,199,199,198,197,197,195,194,180,185,187,189,192,193,195,198,196,209,181,120,181,138,135,164,133,178,157,123,195,201,201,200,199,198,197,196,181,184,188,190,193,195,198,198,198,213,173,118,156,194,160,161,185,162,132,114,176,205,201,201,201,200,199,198,181,185,189,192,194,197,199,199,199,208,182,172,138,170,174,201,190,151,132,117,135,209,202,203,203,202,201,201,182,186,191,193,196,198,199,199,203,206,183,173,135,153,204,207,186,195,155,115,103,203,205,204,205,203,202,202,183,187,191,194,197,199,199,200,206,213,170,151,157,182,178,154,151,222,208,162,97,183,208,206,207,206,205,203,182,187,191,194,197,200,199,201,208,225,174,144,140,135,127,132,176,208,206,169,125,158,213,207,207,206,206,205,184,186,190,193,195,198,199,200,205,233,193,140,151,150,176,207,219,200,186,151,107,142,214,208,207,206,206,207,184,187,190,194,196,198,200,200,203,230,216,149,169,159,204,227,223,204,176,142,89,142,215,207,207,206,206,207,184,187,191,194,197,199,200,201,203,228,230,167,183,165,199,232,231,206,164,130,85,150,216,208,208,208,206,206,185,188,191,193,196,199,201,202,202,220,229,189,197,176,182,234,230,194,156,119,85,177,214,210,209,208,207,206,186,190,194,196,197,201,202,203,203,210,227,210,199,187,166,229,222,186,149,109,87,196,213,212,210,208,209,208,169,174,178,184,188,193,195,197,200,198,222,226,202,181,154,210,211,174,136,102,101,213,216,216,213,210,209,209,98,101,102,107,112,113,115,119,122,121,203,217,191,173,150,181,193,160,124,102,109,174,176,178,194,215,211,207,98,98,98,98,100,100,100,100,101,94,181,206,184,169,146,162,182,155,116,100,97,97,122,171,200,198,207,205,99,102,109,107,106,104,102,103,103,98,177,205,187,164,152,161,179,147,102,95,118,174,215,217,195,171,170,201
1,140,125,115,110,112,107,72,110,127,138,147,152,159,164,165,167,171,174,175,177,179,181,182,184,185,186,186,187,142,123,118,109,117,100,76,115,130,137,159,163,136,162,168,171,172,175,177,179,181,182,184,185,187,188,188,188,142,122,123,109,123,94,81,118,131,141,165,179,123,144,162,154,176,176,179,181,182,184,186,188,189,189,190,190,142,122,125,109,127,88,88,117,148,171,138,180,138,139,169,123,165,180,180,182,183,186,188,190,190,190,191,191,142,124,127,110,130,82,93,118,156,178,131,177,150,140,180,127,141,185,181,184,186,189,190,190,191,192,192,192,140,124,127,111,132,76,99,121,154,185,137,170,165,138,182,147,127,182,183,185,188,189,191,192,193,193,193,194,138,128,126,115,131,74,104,120,152,188,136,171,186,146,168,161,123,172,186,187,189,190,192,193,195,194,194,195,136,131,126,119,125,72,110,140,147,193,149,168,191,147,168,182,130,155,191,187,189,192,194,194,195,195,196,196,134,134,123,123,121,68,135,176,138,196,162,156,185,150,166,190,142,139,191,187,190,192,194,196,197,197,196,197,133,135,121,130,114,69,143,172,133,189,165,146,184,155,153,185,152,133,189,190,191,193,195,196,197,197,198,198,133,137,118,134,107,74,142,174,129,182,171,138,188,167,145,188,161,131,185,191,192,194,196,197,197,198,199,199,134,140,116,139,99,77,141,183,131,180,182,131,178,176,141,191,167,129,178,193,193,195,197,197,198,199,200,200,135,141,116,144,91,83,138,195,141,164,190,134,148,178,125,173,173,126,170,196,193,196,197,198,198,200,200,200,138,142,116,146,84,89,130,187,142,146,191,137,139,174,137,172,175,126,155,199,193,196,197,198,198,200,201,200,141,140,118,145,78,95,124,181,159,135,177,161,161,163,173,179,152,125,138,197,193,196,197,198,199,199,200,200,143,139,122,142,73,101,120,183,168,132,171,177,158,148,165,175,141,115,124,190,196,196,198,199,200,200,200,200,144,136,125,140,71,104,119,179,162,167,171,172,175,163,189,196,151,113,106,177,198,195,198,199,200,201,202,201,148,135,130,135,69,108,120,179,180,181,158,162,169,168,188,185,156,130,102,158,201,195,199,200,201,201,202,201,152,133,138,133,69,110,121,189,188,166,151,145,154,161,165,171,173,151,113,132,200,197,200,200,201,201,202,202,156,132,143,127,69,111,119,182,183,155,140,150,155,167,187,183,185,172,139,118,190,198,198,199,200,200,201,201,158,129,149,117,71,111,114,167,182,152,140,153,157,173,197,196,189,183,155,124,185,196,195,196,198,199,199,197,158,126,155,108,71,109,113,144,183,160,145,145,162,173,195,203,186,175,148,128,187,194,195,196,197,197,202,220,157,125,158,101,81,112,115,126,174,166,151,143,161,172,194,200,183,166,139,120,186,194,194,196,199,195,203,228,156,127,154,136,122,133,137,136,162,176,161,148,152,168,189,195,179,162,135,119,175,181,182,183,182,184,177,179,155,128,156,141,101,106,108,106,118,172,166,158,150,161,184,187,169,156,131,116,125,125,128,124,144,180,179,173,152,130,158,137,104,109,110,113,109,135,170,163,158,155,170,178,161,149,126,116,125,126,123,126,177,183,177,170,149,131,159,135,104,109,110,110,113,109,151,168,163,153,151,162,151,137,122,119,123,124,119,157,190,180,175,168,144,128,160,131,102,107,108,109,112,108,125,169,157,146,141,144,140,131,116,119,122,121,124,182,185,178,170,166
4,149,153,158,160,163,165,167,169,171,172,171,173,175,177,178,177,176,175,177,175,175,176,174,174,174,173,173,173,150,154,159,162,163,164,166,169,171,172,173,175,176,176,177,179,179,175,180,180,177,176,175,175,175,175,175,174,151,156,159,162,164,165,168,170,171,174,174,176,175,186,183,161,165,190,170,166,181,179,177,178,177,175,174,174,153,158,160,163,166,168,169,171,173,171,181,173,179,215,180,158,144,207,168,135,154,183,180,180,178,178,175,175,154,158,160,164,166,169,171,173,170,194,221,189,162,216,189,155,167,212,172,129,121,180,147,176,181,178,177,176,156,159,162,166,167,170,172,174,170,219,237,216,141,180,207,143,179,218,170,119,176,171,114,123,184,176,176,177,156,160,165,166,170,172,173,172,184,223,224,203,132,165,209,140,180,205,156,166,193,138,112,86,164,183,177,178,158,162,166,167,171,172,175,168,206,208,206,191,119,147,183,185,181,190,213,228,176,110,95,85,163,184,178,179,158,162,166,169,172,174,176,170,218,201,190,193,118,120,171,181,204,216,226,210,184,134,88,82,174,183,180,181,158,162,167,170,172,176,173,188,230,199,168,189,123,99,167,116,150,188,194,180,193,153,98,90,183,183,182,181,158,163,166,170,172,177,171,213,217,173,158,142,99,104,171,97,130,176,148,181,203,166,108,116,190,183,183,182,160,164,167,172,173,175,176,230,205,161,143,138,113,117,135,104,125,171,89,188,222,183,124,117,192,183,184,183,162,165,168,172,174,174,182,241,205,161,135,122,109,120,114,126,132,150,132,186,232,197,144,94,172,189,184,184,162,165,170,172,177,173,194,246,205,162,131,116,112,124,124,163,161,185,212,196,210,190,148,100,134,195,184,186,162,166,170,173,178,173,207,248,205,155,132,130,120,114,127,169,184,214,205,206,176,164,157,113,127,196,185,187,161,167,171,174,178,172,217,245,204,153,152,149,123,120,163,206,218,212,204,190,159,134,145,106,152,195,188,187,161,165,169,172,177,172,222,242,202,172,183,158,141,188,223,233,216,211,197,170,143,121,111,107,184,188,187,187,161,165,169,171,177,173,226,241,216,203,199,160,167,226,230,239,220,196,180,156,136,116,93,149,196,186,187,187,162,166,170,173,178,174,225,244,230,208,196,177,171,230,233,234,212,174,165,147,132,104,110,190,189,189,189,189,162,166,170,173,179,173,218,246,233,211,192,180,182,234,230,215,195,163,148,139,122,93,158,197,190,189,189,189,163,169,171,175,179,173,207,245,223,210,193,182,188,218,212,192,173,152,146,134,99,115,195,192,193,190,190,189,164,168,171,174,179,174,205,235,208,203,200,186,185,199,197,179,155,145,143,120,92,170,197,189,191,191,189,188,162,165,171,173,179,175,201,224,196,201,203,182,175,198,194,175,145,133,133,100,137,199,191,191,189,190,189,187,163,168,174,176,181,178,196,220,197,200,194,178,165,195,196,160,128,123,115,120,194,197,196,196,195,194,194,192,136,138,139,139,142,137,162,231,208,206,190,181,161,186,188,142,119,117,103,121,144,138,138,138,136,136,136,139,100,98,97,97,100,92,121,240,223,213,198,191,162,176,187,141,115,106,101,93,91,90,90,88,88,89,88,83,108,108,107,109,111,108,116,232,231,210,198,195,161,159,191,147,111,100,98,101,102,101,99,99,99,98,94,163,108,109,108,109,110,109,105,219,230,205,189,191,163,148,184,143,108,98,96,101,102,102,99,99,102,89,168,228
17,173,175,177,178,180,180,181,182,183,183,184,184,185,187,188,188,189,190,190,189,190,191,191,191,191,192,192,192,174,175,177,179,180,180,181,183,184,184,185,186,187,187,189,189,191,192,191,191,192,192,191,192,193,192,193,193,174,175,177,179,180,181,182,183,185,185,186,187,187,188,190,190,192,192,194,194,192,195,193,193,193,193,194,194,174,175,177,180,182,182,183,184,185,186,186,189,190,190,190,192,193,187,169,182,161,175,198,194,195,194,194,194,175,176,178,180,182,183,184,185,187,187,188,189,190,191,192,193,194,196,165,138,134,152,201,194,195,195,195,195,176,177,179,181,182,184,185,186,188,189,190,190,191,191,193,193,193,209,181,138,116,161,201,194,196,196,195,195,176,178,180,182,183,185,186,186,188,189,189,190,191,192,193,194,192,209,188,153,111,169,202,195,197,197,196,196,176,179,180,182,184,186,187,187,188,189,191,192,194,195,193,195,193,209,198,165,123,186,200,197,197,197,196,196,178,180,181,183,184,186,187,188,189,189,190,193,184,177,199,196,193,212,198,166,139,196,199,198,197,198,198,197,179,180,182,183,185,187,187,189,191,191,191,195,187,153,165,199,200,214,193,165,141,197,199,198,198,199,199,198,178,181,182,184,185,186,188,189,189,188,189,202,191,174,154,170,187,208,194,165,139,196,200,200,199,199,199,198,180,182,182,184,186,187,187,193,199,177,154,183,203,199,200,169,133,166,187,167,141,194,201,200,200,200,199,199,180,181,183,186,187,188,186,201,206,178,147,180,187,205,207,190,148,130,165,159,138,191,203,200,201,200,199,200,180,182,184,186,187,188,190,200,180,194,171,170,157,158,212,203,171,129,139,147,132,189,204,201,201,200,199,200,180,182,184,186,187,188,191,207,170,161,159,129,123,114,206,214,188,140,126,134,126,187,205,201,202,201,201,201,181,183,185,186,189,188,197,197,165,151,157,137,134,132,190,225,196,157,125,133,124,181,206,200,202,202,202,201,181,183,185,188,190,187,201,202,186,173,166,148,157,159,175,231,197,169,132,130,126,175,207,201,202,202,203,202,181,183,185,188,190,188,208,196,173,167,162,155,171,176,200,214,197,176,139,125,121,175,208,202,203,203,202,202,182,183,185,188,190,193,209,184,168,162,160,168,169,206,228,198,186,175,139,121,114,175,209,202,204,203,202,203,182,183,186,189,189,195,213,187,175,164,163,170,186,227,219,201,180,167,137,119,115,181,208,202,203,203,202,203,182,184,188,190,188,200,216,191,180,164,165,172,210,224,210,198,174,161,134,121,119,196,204,202,203,204,203,202,182,186,188,190,187,204,217,194,186,171,164,187,224,220,207,192,166,158,132,116,138,208,202,203,204,204,204,202,183,185,189,190,186,209,218,195,191,184,166,195,226,212,204,193,163,148,131,111,169,210,203,204,204,203,203,202,184,187,189,191,187,210,223,199,197,194,176,194,220,204,198,190,164,140,127,122,198,206,204,205,204,203,203,203,185,187,189,191,187,204,224,204,201,196,186,186,213,200,199,184,161,139,118,150,212,202,204,203,203,204,204,203,183,186,189,191,189,198,223,210,199,191,190,186,202,197,199,189,158,137,115,165,212,202,204,204,204,204,204,204,184,187,188,190,192,194,220,207,197,187,186,190,197,189,199,192,158,136,117,181,211,203,204,205,205,205,205,204,185,187,189,190,191,195,218,201,196,187,184,188,196,186,198,185,153,133,130,202,206,204,205,205,205,205,205,204
5,151,153,156,157,158,160,161,161,162,163,163,163,164,164,164,163,162,164,164,164,163,163,162,161,159,159,159,158,154,156,159,160,161,162,164,164,165,166,167,167,167,168,168,164,148,158,166,166,166,165,164,163,162,161,161,160,158,160,163,164,165,166,167,168,168,169,170,170,169,166,169,170,135,144,169,170,170,169,168,167,166,165,164,163,162,164,167,168,168,170,171,172,172,173,173,173,170,151,156,175,133,131,171,174,173,172,171,171,170,169,167,166,166,168,170,172,173,174,175,175,176,177,177,177,177,145,139,174,132,124,173,177,177,175,175,173,172,172,171,170,169,171,174,176,176,178,179,179,179,180,181,181,184,150,130,170,133,125,175,181,180,179,178,177,175,175,174,173,171,173,177,179,180,181,182,181,176,176,183,185,188,154,125,167,138,130,178,184,184,183,182,181,179,178,178,176,175,176,179,181,183,184,185,183,162,155,183,187,191,160,125,163,134,132,181,187,187,185,182,183,182,181,180,179,177,179,182,184,186,186,187,187,162,136,178,190,193,161,119,158,132,134,184,190,188,182,164,168,183,184,182,182,179,182,185,187,188,188,189,191,170,127,173,192,193,161,114,156,142,138,186,189,187,180,158,149,176,186,185,184,181,184,187,189,190,190,192,193,174,128,170,193,192,169,117,144,148,142,185,186,173,156,165,157,160,182,188,187,184,186,190,191,192,193,194,195,184,136,161,192,191,175,118,125,146,147,184,184,158,117,151,161,145,175,191,190,186,189,192,193,194,195,195,197,192,155,153,187,191,177,122,121,142,143,174,176,152,135,166,154,147,184,193,192,187,190,194,195,196,196,197,197,193,184,165,171,181,170,133,131,136,131,157,163,146,165,177,141,161,193,194,194,190,192,195,198,199,199,199,199,193,196,185,164,160,154,134,131,130,129,154,160,150,179,168,126,171,196,196,195,192,194,196,199,200,201,201,201,198,201,203,177,153,143,127,125,125,129,151,159,158,187,154,118,179,199,198,197,194,196,198,199,201,202,203,203,203,205,215,191,148,130,117,113,120,131,150,155,159,189,152,126,188,201,200,199,195,198,200,201,202,203,204,205,205,207,219,198,148,116,107,106,120,141,157,155,155,185,154,137,193,202,201,201,197,199,201,202,203,204,206,206,207,208,216,198,151,114,105,108,130,153,172,176,164,176,150,140,196,204,202,202,198,200,201,203,205,206,207,208,208,207,213,195,153,115,104,115,142,165,186,192,171,159,132,133,196,206,204,203,200,201,202,204,206,208,208,209,209,207,213,195,157,118,105,121,156,181,192,191,171,135,103,124,195,207,206,205,200,202,203,206,207,208,209,210,210,207,210,196,160,120,107,123,165,193,195,182,153,111,88,140,201,208,207,207,201,202,205,207,208,209,210,211,212,207,205,194,161,123,111,122,170,198,190,165,131,95,109,181,209,209,208,208,202,203,206,208,208,209,211,212,213,205,196,189,160,128,116,121,166,188,173,145,111,98,158,207,212,211,209,208,202,203,206,208,209,209,211,212,214,204,190,182,156,134,121,121,156,172,158,128,97,126,196,214,214,212,211,210,201,203,205,207,208,208,210,212,213,205,187,176,153,136,119,116,145,156,139,105,104,172,212,214,214,213,212,211,201,203,205,207,207,208,209,212,213,204,189,176,153,135,118,108,129,130,109,98,151,205,214,214,214,213,212,211,201,203,206,207,208,208,210,213,214,204,192,176,148,131,118,103,114,105,87,124,195,214,215,214,214,213,211,210
17,127,129,131,135,137,137,138,140,142,143,144,145,146,149,148,150,151,150,151,151,152,152,151,150,150,150,150,149,129,132,134,137,138,141,142,143,143,144,145,146,148,148,150,150,151,151,152,153,153,153,152,151,151,151,150,149,132,136,137,140,142,143,145,146,146,146,148,148,162,130,130,155,153,153,153,154,154,155,154,153,153,152,152,151,137,139,141,144,146,146,147,149,150,150,150,158,156,104,104,159,156,157,156,156,156,156,156,155,154,154,153,152,141,144,146,148,150,150,151,152,153,154,154,162,170,101,100,163,158,159,159,158,159,159,159,158,157,157,157,156,145,148,150,152,154,155,156,157,157,157,157,168,186,126,90,159,160,161,162,161,162,161,162,161,160,158,159,159,149,152,155,157,159,159,159,160,161,163,161,177,190,141,80,138,167,165,165,165,165,165,166,166,164,161,160,160,153,157,158,160,163,163,164,164,167,167,165,185,182,155,99,113,172,167,168,168,168,169,169,168,167,165,164,164,157,160,162,165,166,167,168,169,170,170,167,194,164,173,117,93,171,173,172,173,173,172,172,171,170,169,168,168,161,164,167,169,170,170,172,173,173,173,174,199,149,185,129,87,166,177,176,177,177,175,175,175,173,172,171,170,164,167,169,173,174,175,176,176,176,175,171,200,157,198,157,95,154,182,179,180,180,180,179,178,177,176,174,173,167,170,172,175,176,177,178,179,182,184,157,132,133,187,168,107,139,185,182,183,183,182,181,180,179,178,178,177,170,173,176,177,178,179,180,180,193,201,171,123,87,148,164,112,125,189,184,186,186,186,184,183,181,181,180,179,172,175,178,179,181,182,183,184,190,164,161,157,134,118,123,105,110,191,187,187,188,188,187,187,185,184,182,181,174,177,180,182,184,184,185,188,192,144,146,173,184,152,89,81,97,191,189,190,191,191,191,190,188,186,185,185,177,181,183,186,186,186,185,191,209,194,141,148,170,139,80,67,81,181,194,193,193,192,192,191,191,189,187,187,179,182,185,187,188,189,192,183,147,206,157,97,151,144,90,66,66,160,199,195,194,195,194,194,193,192,191,188,180,184,187,188,190,191,201,167,110,137,159,72,109,172,107,67,58,148,202,197,197,197,196,196,195,195,193,192,183,187,189,191,192,194,204,177,131,93,147,102,103,193,128,78,56,143,206,198,199,199,198,197,195,195,194,193,185,188,191,193,194,197,194,142,101,77,127,126,134,202,147,98,58,147,207,201,200,201,200,199,197,197,196,196,187,189,192,195,195,200,188,153,117,108,105,147,180,188,151,112,64,158,207,201,202,202,200,200,201,200,198,197,188,191,194,197,196,207,199,149,131,126,132,212,198,162,132,106,68,180,207,203,204,203,202,201,201,201,200,199,190,193,195,198,200,218,189,162,148,117,161,212,170,149,123,90,77,196,207,206,205,205,205,204,202,202,201,200,192,194,196,199,202,222,199,182,129,127,178,194,154,146,121,79,84,205,208,208,208,207,206,206,204,204,202,201,193,196,198,199,202,218,212,159,152,124,204,194,152,141,109,73,97,211,209,209,209,208,208,207,206,206,204,202,194,196,199,201,202,203,202,163,158,139,216,190,148,126,96,67,114,214,210,210,210,209,209,208,207,207,205,204,194,197,199,201,201,194,192,175,149,146,209,176,131,104,83,62,144,216,212,213,211,210,209,209,208,207,207,207,195,199,200,202,205,192,176,174,149,149,194,160,117,89,74,70,188,215,212,213,212,212,212,211,209,209,208,208
4,190,190,191,192,191,192,191,190,190,191,190,192,192,191,192,193,193,192,192,191,191,191,190,190,190,188,186,185,192,192,193,192,191,191,193,194,192,193,192,191,191,196,192,194,195,194,193,193,192,192,189,191,191,189,187,189,195,193,194,194,194,193,194,193,195,195,194,192,189,195,200,195,196,198,203,196,193,192,193,193,192,190,189,190,193,195,195,194,197,196,195,196,197,195,194,214,194,153,162,197,176,142,173,205,201,197,192,193,193,193,192,192,194,194,197,198,199,199,197,194,199,193,180,198,238,188,114,182,205,136,82,172,162,180,202,193,194,194,194,193,198,198,198,199,200,199,199,194,214,225,202,125,192,227,117,173,224,157,85,169,141,79,168,208,194,197,196,194,200,200,200,199,200,200,199,202,211,217,209,137,150,219,99,152,238,150,116,207,162,81,75,206,198,198,197,198,199,200,201,201,201,202,196,218,203,189,217,120,121,208,115,104,210,110,103,207,174,94,65,205,199,200,198,199,199,201,201,203,202,199,201,225,173,130,203,137,95,203,176,141,159,141,174,221,198,102,101,217,197,201,199,200,199,200,201,204,204,199,213,216,172,119,163,142,76,132,168,181,169,193,205,203,172,126,95,207,203,202,201,200,200,201,201,204,202,206,221,204,190,147,112,79,61,95,90,144,154,164,175,173,141,164,69,160,216,200,203,202,202,202,202,204,204,213,216,179,146,131,105,68,63,112,58,83,113,112,141,123,149,174,91,106,221,199,204,204,202,203,204,205,204,217,218,171,123,96,92,77,80,113,86,125,132,111,68,125,213,184,133,67,195,209,204,208,202,202,203,206,203,225,235,193,142,94,67,66,94,94,116,169,174,130,114,160,216,201,175,76,130,224,203,210,201,201,201,206,203,228,236,204,151,94,69,65,102,107,166,172,173,165,204,203,187,215,175,89,83,221,206,208,201,201,201,203,202,231,236,217,159,91,83,72,85,121,163,166,193,211,202,205,190,176,146,100,65,200,210,208,201,201,203,203,203,236,231,225,162,95,109,99,87,133,159,194,207,204,199,188,174,134,111,91,70,199,208,206,201,201,203,205,209,232,228,210,158,137,130,102,146,187,204,220,210,200,185,170,148,116,82,55,154,214,205,207,202,201,204,205,208,233,229,214,182,162,139,103,173,219,214,221,211,190,171,152,129,98,53,116,216,207,209,208,202,202,204,204,200,233,227,223,204,166,158,125,159,221,213,216,200,167,154,138,112,71,75,206,212,211,209,208,201,202,203,207,193,220,226,230,213,182,164,146,159,218,212,203,182,152,137,115,92,54,163,219,210,211,209,208,207,207,209,213,202,206,227,216,195,182,165,150,162,202,198,182,163,138,122,100,56,105,223,212,212,212,214,212,124,127,130,138,126,184,241,208,185,179,174,156,165,183,180,159,139,119,111,84,58,186,219,215,217,216,209,206,64,66,66,74,47,159,238,203,194,194,181,159,166,181,174,155,121,102,96,65,74,111,110,109,106,112,144,190,78,79,78,84,60,161,238,206,201,199,181,159,167,185,183,154,99,86,74,62,72,59,55,72,138,164,181,200,77,77,77,82,58,159,246,209,202,200,198,165,155,182,175,125,81,75,64,73,77,97,177,207,200,231,212,172,79,80,79,84,61,156,245,209,202,210,215,168,137,175,154,100,75,59,55,125,181,207,229,210,152,158,206,200,76,78,77,83,65,158,236,199,194,209,215,165,132,168,143,88,63,52,149,227,232,208,185,167,150,119,149,189
4,107,113,127,137,142,147,150,154,156,159,160,162,165,167,170,172,173,174,176,176,177,178,179,180,180,179,180,181,108,115,129,138,143,149,151,155,158,160,162,164,165,167,169,171,175,176,176,179,179,179,180,181,182,181,182,182,108,116,131,139,143,148,152,156,159,161,160,161,166,170,176,170,159,169,176,167,176,183,181,182,184,184,184,184,110,116,132,140,145,149,153,157,160,160,176,177,161,164,201,179,133,112,160,138,119,180,185,182,185,185,185,184,110,119,133,140,146,151,154,156,165,166,164,190,187,138,159,171,127,93,120,139,97,147,192,183,185,186,186,185,110,121,135,140,147,151,155,154,188,186,159,144,155,131,117,152,119,89,135,144,95,134,194,183,186,187,187,187,111,123,136,142,148,152,153,167,200,194,175,147,107,105,114,177,126,97,165,131,80,144,195,185,187,188,189,189,112,124,137,142,148,153,150,184,182,162,169,127,99,92,109,165,134,162,167,133,88,159,193,186,189,189,190,190,112,127,139,142,148,154,151,191,164,149,165,107,90,99,85,125,158,175,153,154,126,150,195,188,189,190,191,192,114,127,139,143,149,154,156,201,175,164,154,116,80,126,148,157,160,150,145,166,151,130,162,198,191,192,192,192,116,130,140,145,150,152,164,203,165,145,137,117,67,131,161,144,144,114,141,179,167,158,123,167,198,191,193,193,117,132,140,145,151,150,173,196,156,135,119,95,71,75,103,111,101,98,139,167,179,168,141,115,179,197,194,194,118,133,141,146,152,148,188,203,167,146,131,110,88,77,82,84,121,181,178,174,171,156,151,117,133,201,193,196,119,133,141,147,153,149,202,200,167,158,136,111,98,96,124,164,192,198,183,173,157,132,134,116,134,202,194,197,120,134,141,147,152,152,210,201,183,165,135,121,107,117,174,196,200,199,185,164,147,122,116,108,170,200,196,197,120,135,142,147,151,156,217,204,186,159,135,132,113,150,191,192,200,195,176,154,135,119,103,127,200,195,197,198,123,136,142,148,152,155,214,205,182,157,144,144,130,169,189,189,195,187,166,145,129,114,98,172,203,196,198,199,125,137,143,149,154,157,212,202,178,167,165,153,150,176,185,192,185,172,155,136,125,104,127,202,196,198,198,200,124,138,143,149,154,156,202,202,189,181,173,156,159,179,184,184,170,157,143,128,116,99,177,203,197,198,200,200,127,137,142,149,155,154,189,207,199,188,172,154,144,166,173,169,157,145,134,123,101,134,203,198,199,200,201,201,128,137,142,149,156,155,178,207,190,183,169,150,136,154,161,158,146,134,126,113,104,187,201,200,201,201,202,202,129,139,143,149,156,158,169,202,182,169,160,142,142,152,162,158,143,129,121,98,154,204,197,201,202,202,202,202,131,137,143,151,156,159,165,193,171,163,154,144,159,148,149,152,135,122,105,114,198,200,200,201,202,203,203,203,132,138,145,151,156,161,163,196,173,169,160,163,168,149,137,142,129,116,96,160,205,197,199,200,203,203,204,204,131,138,146,152,157,159,190,190,188,173,166,164,156,144,130,132,124,113,99,185,202,198,200,203,203,203,204,205,133,139,145,153,152,175,203,186,167,172,172,162,147,139,125,122,116,109,95,184,203,198,201,203,204,204,204,205,134,138,146,151,157,204,192,197,175,129,160,155,142,135,114,114,113,105,96,186,202,201,202,203,204,204,205,205,134,139,149,148,180,203,188,191,203,160,114,137,138,129,107,111,110,102,92,183,202,202,203,204,205,205,205,206
0,210,211,213,215,215,217,220,220,221,222,222,222,223,224,226,224,227,227,226,227,227,227,227,227,228,227,227,227,211,213,215,216,218,219,221,222,222,223,224,224,225,227,228,227,227,228,228,228,229,228,229,228,228,228,228,228,210,213,215,219,220,220,222,223,224,226,226,226,228,229,228,227,229,230,229,228,229,230,230,230,230,229,229,230,211,214,216,219,220,221,223,224,225,228,227,228,229,228,228,231,231,229,229,230,232,232,229,232,232,232,231,233,214,216,218,220,220,222,224,226,227,227,230,232,230,236,241,226,226,237,248,226,228,252,210,228,235,234,234,233,216,218,220,221,222,225,225,226,226,238,255,225,207,255,249,211,191,248,254,219,199,252,209,204,240,232,233,234,216,218,221,223,224,226,227,231,227,255,255,234,182,224,247,225,180,202,252,227,181,225,231,187,230,235,234,236,218,220,221,224,227,225,254,246,213,255,254,245,196,211,248,234,189,201,255,230,172,185,241,202,189,223,239,235,219,221,222,226,220,243,255,248,210,240,255,243,210,210,249,238,188,212,254,218,175,141,226,223,203,178,220,241,218,222,224,226,221,255,255,255,226,223,255,241,211,202,255,242,176,213,248,197,163,107,194,238,222,171,200,248,220,222,225,224,232,255,255,255,236,208,255,242,206,200,255,237,168,178,215,185,138,121,228,246,227,175,215,246,221,223,225,221,245,255,247,255,238,197,244,239,199,189,245,222,170,145,188,178,112,167,254,244,220,175,238,244,223,225,227,222,255,255,243,244,206,165,214,220,191,165,199,195,163,137,192,173,146,234,251,236,189,185,248,242,223,226,226,238,255,253,217,225,182,146,191,202,184,142,168,183,134,163,229,231,236,236,232,212,174,206,250,243,224,227,221,249,255,255,223,209,196,159,178,210,192,128,149,182,199,252,255,249,235,214,202,190,168,217,248,244,228,230,224,242,255,255,244,213,197,173,180,226,188,125,169,249,255,255,254,242,225,202,184,178,159,234,248,246,229,230,228,243,255,255,253,236,214,199,205,217,202,220,255,255,255,254,245,231,209,188,179,161,196,252,245,247,228,232,228,248,255,255,255,247,237,213,219,235,255,255,255,255,255,246,229,213,193,181,165,183,249,247,248,247,228,232,228,247,255,255,255,255,248,234,230,247,255,255,255,255,252,238,217,194,179,169,163,239,250,249,249,248,229,232,229,247,255,255,255,255,253,243,237,242,255,255,255,253,246,225,201,180,171,155,216,255,247,249,249,249,228,232,234,243,255,255,255,255,247,236,234,236,248,255,250,236,227,211,185,175,151,197,255,249,251,251,251,250,229,233,235,235,255,255,255,254,241,228,229,233,241,243,230,217,202,189,174,150,182,255,251,252,251,251,251,250,233,237,239,235,255,255,255,250,239,227,235,241,243,237,221,204,182,165,139,160,250,254,252,252,253,253,251,252,217,208,208,195,198,203,190,181,177,172,183,186,182,177,166,162,155,140,149,252,255,250,253,253,254,254,253,253,178,168,169,164,152,150,148,137,131,119,114,107,101,103,99,99,103,106,132,201,251,254,253,254,255,254,253,253,169,172,169,165,160,156,149,139,132,123,119,108,103,102,99,96,95,97,98,83,191,255,251,254,254,254,253,253,178,170,172,168,162,151,147,139,127,122,115,106,101,100,97,93,95,95,99,84,213,255,252,254,254,254,255,255,190,173,173,167,161,152,146,136,124,122,114,107,102,99,96,93,92,95,87,130,255,253,254,254,255,255,255,255
21,109,115,122,134,146,153,158,162,165,167,168,171,174,176,180,180,182,183,185,186,186,186,187,188,188,188,188,188,110,116,124,136,147,155,159,162,165,168,170,173,175,177,175,183,184,185,186,187,188,189,189,189,189,189,189,189,112,118,124,138,149,156,161,164,167,169,172,173,183,187,129,176,188,187,188,188,190,191,190,190,191,191,191,190,113,120,126,140,150,156,162,166,168,170,174,173,191,188,124,171,192,188,189,191,192,192,191,191,192,192,192,192,114,120,128,142,151,157,162,166,170,173,176,174,192,187,130,167,193,190,191,191,194,194,194,196,196,194,194,193,115,122,129,143,151,159,163,166,171,173,176,175,195,193,135,166,195,190,192,192,195,197,192,184,196,195,195,195,116,123,131,145,152,160,165,169,172,173,177,176,196,194,138,160,198,192,195,195,195,196,171,130,183,200,197,198,117,124,133,147,154,161,166,169,173,174,177,177,196,192,140,150,199,192,196,195,198,188,150,135,197,199,198,198,119,124,134,148,154,161,166,171,174,174,179,178,201,194,140,148,200,192,196,199,198,171,131,178,206,199,199,199,119,125,136,150,156,163,167,172,174,175,179,179,209,198,147,152,200,193,197,196,181,147,152,206,200,201,200,200,120,126,139,150,157,164,168,172,174,176,188,168,194,183,144,149,201,194,200,193,163,131,193,204,201,202,202,201,121,127,139,151,158,164,169,173,174,183,186,148,149,149,131,150,201,196,199,186,137,161,209,201,203,203,202,203,122,128,141,151,158,165,170,172,184,198,157,146,122,120,121,152,186,186,187,153,133,202,203,204,204,204,203,203,123,128,142,152,159,165,170,173,204,209,187,166,127,106,120,143,168,168,156,121,177,209,202,204,204,204,204,203,123,129,144,153,159,165,169,181,208,216,219,165,129,108,115,133,148,152,125,142,208,203,205,205,205,205,205,205,123,130,144,153,160,166,169,187,194,186,193,152,125,115,113,126,136,136,120,193,207,205,205,205,205,205,206,205,124,131,145,153,160,167,169,203,192,143,160,167,134,118,114,118,126,112,147,212,203,205,206,206,206,206,206,206,125,132,147,154,161,166,175,204,164,138,147,178,144,123,116,113,119,109,170,211,204,206,206,206,206,207,208,206,124,133,148,154,162,163,186,203,171,167,162,194,158,141,123,113,115,110,176,211,206,208,207,207,206,207,208,206,125,134,147,153,163,163,195,205,189,161,195,218,163,154,128,111,114,113,188,209,207,208,209,209,209,209,208,207,125,135,149,154,164,164,202,216,183,168,225,197,159,151,128,112,112,117,201,209,207,208,208,209,209,209,208,208,126,136,149,155,163,164,209,207,173,182,214,182,155,142,134,116,107,135,211,207,208,208,208,209,209,209,209,209,126,136,148,155,164,165,203,191,182,182,211,179,171,140,124,118,105,164,213,206,208,208,209,210,210,210,209,209,125,137,149,157,166,167,189,196,199,181,214,172,165,143,118,116,107,184,211,206,208,208,209,210,211,210,209,209,125,139,150,157,164,168,182,214,190,177,203,160,147,127,115,111,115,197,209,207,209,210,210,211,211,211,210,210,124,139,150,156,163,169,179,206,186,170,183,153,134,124,116,104,129,207,206,209,210,211,211,211,211,211,211,211,123,137,147,155,162,170,175,190,177,172,174,160,147,131,118,100,139,210,203,206,209,209,209,210,210,210,211,210,123,137,146,155,162,170,174,184,181,177,174,170,159,132,116,96,145,210,202,205,208,208,209,209,210,210,211,210
11,196,199,200,202,204,204,205,205,205,205,203,203,200,201,201,199,197,197,195,195,193,192,190,188,187,187,186,182,198,201,202,204,205,207,206,206,206,205,205,204,203,204,205,202,200,199,198,197,195,194,193,191,189,188,186,183,199,202,205,205,207,208,208,208,208,208,207,205,204,204,192,202,204,201,200,199,196,195,194,193,190,189,188,187,202,204,206,208,210,209,209,209,209,210,209,208,206,220,164,153,211,201,202,202,199,197,197,195,193,190,190,188,203,205,208,210,211,211,210,210,211,211,211,210,209,224,169,125,208,203,203,203,202,199,199,197,196,192,190,189,205,207,209,210,211,212,212,213,213,213,212,211,211,219,168,130,205,206,204,204,203,202,200,198,196,195,193,190,207,209,211,211,213,215,215,215,214,215,213,212,211,232,181,134,202,210,205,205,204,203,202,199,198,195,193,192,208,211,212,213,216,216,216,217,216,215,215,214,215,239,189,131,197,213,206,206,205,204,203,200,199,196,195,194,210,212,213,216,217,217,217,218,217,217,216,213,220,233,176,125,198,213,207,207,207,205,203,201,199,199,197,195,211,212,215,217,217,217,218,218,218,217,220,218,226,225,173,122,203,214,209,209,208,207,206,204,201,200,197,196,211,215,217,218,218,219,220,223,225,219,193,181,231,221,175,130,208,213,211,211,210,209,207,205,203,200,196,196,215,217,218,219,221,226,222,203,198,214,174,120,187,201,152,131,217,214,211,211,211,210,208,206,205,202,199,197,215,218,220,220,210,199,224,179,123,155,189,134,107,131,109,139,227,215,214,212,211,210,209,206,205,203,201,198,216,219,221,229,203,129,176,193,121,139,192,133,91,105,95,171,227,215,216,214,213,213,212,210,205,204,203,201,219,220,226,237,217,148,141,203,126,138,176,122,93,104,94,180,226,216,217,213,210,203,195,200,211,207,203,201,221,220,242,247,220,157,117,179,120,123,162,115,90,94,86,178,229,217,217,206,203,185,165,156,161,202,204,201,219,227,244,226,209,162,99,143,114,134,171,129,85,90,90,185,226,216,228,210,179,150,129,125,98,166,213,201,220,229,253,226,207,154,96,159,120,150,217,152,95,101,104,166,218,220,206,152,100,109,144,161,150,191,211,204,222,232,255,240,195,136,114,196,158,152,249,149,93,120,147,175,211,204,152,92,131,211,222,220,219,213,206,204,221,234,255,230,185,186,137,211,223,109,160,131,127,164,156,171,178,147,94,149,228,220,215,213,210,209,208,205,221,234,254,229,203,189,136,181,174,109,173,202,184,169,144,145,133,90,147,233,220,219,218,215,213,210,209,207,224,231,248,237,218,192,197,206,212,201,195,187,173,160,138,119,91,127,228,223,221,220,218,216,214,212,211,208,224,228,243,234,216,193,181,193,213,201,188,178,158,153,128,87,139,224,226,223,222,220,218,217,215,214,211,209,237,237,238,231,205,172,162,182,190,182,178,159,152,138,91,157,237,228,226,225,224,221,218,217,216,215,211,210,113,173,231,211,184,157,178,187,182,171,159,147,120,99,172,239,227,226,226,224,224,221,219,217,216,214,211,210,68,84,197,212,205,203,191,177,173,150,126,89,130,209,238,228,228,226,225,224,223,221,220,217,214,212,210,208,92,86,97,167,202,197,177,164,154,128,85,124,243,237,229,230,229,228,226,225,223,222,220,218,217,214,211,211,83,85,79,85,126,144,151,143,124,97,76,207,240,230,232,231,230,229,228,225,223,223,220,219,217,213,212,202
22,143,147,149,152,154,157,159,162,164,166,169,169,169,170,171,173,174,173,172,173,173,173,175,175,175,174,175,174,146,149,151,154,157,159,163,165,166,169,171,171,175,174,175,176,175,179,176,176,177,176,178,178,177,177,177,177,148,153,154,157,159,162,165,167,170,171,174,174,147,173,178,179,175,148,179,177,174,181,181,182,180,181,180,179,149,154,156,159,161,164,166,170,172,173,178,170,113,165,184,183,184,110,171,188,151,149,188,182,182,182,183,182,152,155,158,161,164,166,169,172,175,175,185,164,102,168,184,192,181,115,174,196,151,121,192,184,185,184,185,185,154,157,160,163,165,169,172,175,176,176,189,162,98,170,185,198,178,122,180,195,150,119,190,186,187,187,187,187,156,159,162,165,167,171,173,176,179,178,191,171,102,170,189,198,168,125,185,198,157,124,191,189,189,188,190,189,158,161,164,167,169,173,175,179,183,180,193,182,103,164,192,196,155,123,188,197,155,129,195,191,191,191,191,190,159,163,165,169,172,175,178,181,184,182,198,184,102,162,197,187,143,125,191,197,153,130,199,193,193,193,193,193,160,164,167,170,174,175,179,182,186,184,198,193,111,155,206,170,138,124,196,198,154,135,201,193,194,194,195,195,161,165,169,171,174,177,180,183,187,187,195,202,151,137,143,158,147,126,200,203,147,142,204,193,196,196,196,196,163,167,170,173,176,178,182,185,187,189,194,194,172,149,130,134,144,139,204,197,139,151,207,196,198,198,199,198,164,168,171,174,176,180,183,187,190,188,200,216,187,181,181,164,120,147,202,191,132,164,207,198,199,199,200,199,166,169,173,175,178,181,184,188,190,193,196,185,189,149,193,179,129,109,170,165,122,178,205,199,199,200,201,201,167,171,174,177,181,183,186,189,191,196,190,166,177,102,133,186,157,109,110,130,108,187,204,200,200,201,201,201,168,172,175,178,182,183,186,190,191,200,202,166,166,128,72,157,188,144,102,100,110,200,204,202,202,202,203,203,169,173,176,179,182,186,189,191,192,205,196,155,149,136,90,113,204,174,128,95,112,206,204,204,204,205,204,204,169,173,176,179,182,186,189,192,192,210,202,163,128,114,105,164,210,182,146,114,113,207,205,205,205,206,205,205,170,175,177,180,183,186,188,192,193,215,198,157,130,134,138,214,204,168,144,117,112,211,206,205,206,206,206,206,171,176,178,181,184,187,190,193,196,210,193,159,152,137,171,213,190,159,128,102,128,213,205,207,207,208,208,207,172,176,179,182,186,188,192,195,195,208,190,156,155,134,188,212,176,148,124,96,149,217,206,209,209,210,210,210,172,176,180,183,185,189,192,194,195,203,188,156,163,142,198,211,166,138,117,96,156,219,208,211,212,212,211,211,172,176,180,182,185,189,192,195,196,197,189,162,176,146,192,198,161,134,113,92,167,219,209,211,212,212,212,212,172,176,180,183,185,188,192,195,198,194,188,167,177,147,184,182,151,129,109,93,182,216,209,211,211,211,213,212,173,177,180,183,186,188,192,195,197,197,193,171,168,141,168,167,137,127,107,101,196,211,210,211,211,211,212,211,173,177,180,184,187,190,192,196,197,197,193,166,146,131,162,148,134,130,103,131,212,209,210,211,212,212,212,211,173,177,180,184,187,190,193,196,194,198,196,170,150,147,167,137,143,120,96,185,215,211,212,211,212,212,212,211,173,177,180,183,187,189,193,196,191,201,202,180,168,154,164,133,145,98,135,215,209,211,212,212,212,212,212,212
5,161,165,167,171,173,176,180,181,181,181,182,185,184,183,185,185,184,185,184,186,185,184,184,183,184,185,185,185,163,167,170,173,177,179,181,183,184,185,186,186,186,186,187,188,187,188,187,188,187,187,188,187,187,187,188,187,165,167,171,175,179,181,183,185,186,187,187,188,188,189,182,180,191,190,190,189,190,191,192,191,190,189,188,189,167,170,174,177,180,183,185,187,188,188,189,192,188,201,170,119,196,192,192,192,194,193,193,195,192,191,191,190,169,173,177,178,183,185,186,191,192,191,192,189,202,205,144,139,197,193,194,195,195,196,196,196,195,194,192,192,171,174,178,181,186,187,192,166,181,195,193,197,226,146,123,195,197,194,194,193,196,193,193,199,198,196,195,194,173,176,180,183,187,185,208,129,145,203,188,226,202,103,179,202,196,195,204,206,201,142,143,209,198,200,199,196,173,177,181,184,186,194,205,104,167,201,197,215,141,132,208,195,197,216,216,174,154,124,172,205,200,202,201,199,174,179,183,186,185,213,163,112,202,198,196,162,107,181,204,193,210,210,147,114,170,193,206,201,202,202,203,201,175,179,184,187,186,219,148,134,207,197,173,129,114,208,189,191,183,123,125,191,210,205,203,205,203,203,203,202,177,181,185,188,187,221,150,138,210,191,167,139,122,207,175,187,115,114,202,208,203,204,204,207,206,205,205,204,178,180,184,188,190,216,155,131,209,189,171,129,135,181,166,168,98,172,212,204,207,204,207,206,206,207,206,204,178,182,186,190,191,203,197,135,180,194,173,103,131,142,161,141,121,202,207,208,208,207,203,209,209,208,207,207,179,183,188,192,193,193,212,178,132,181,150,131,101,115,144,121,156,215,205,201,208,216,189,147,210,209,208,207,178,181,186,188,194,187,200,216,157,135,128,118,106,110,110,122,181,208,200,209,221,195,202,147,174,219,208,208,178,183,185,189,193,193,194,227,198,143,105,95,97,99,101,133,159,192,209,190,160,133,167,186,141,186,213,208,179,184,187,188,192,195,194,220,209,150,99,94,94,92,100,132,145,154,169,119,125,185,189,182,129,158,214,206,180,185,188,190,192,196,194,212,216,150,95,89,90,88,98,115,124,106,119,156,204,196,195,144,137,214,209,209,181,185,188,190,194,196,195,208,220,158,96,85,90,90,93,105,100,115,195,216,200,192,162,109,204,215,210,210,184,189,191,194,196,196,196,205,221,167,103,84,88,93,88,95,75,149,225,206,192,180,108,134,220,206,210,210,160,168,176,179,183,188,188,197,220,175,112,84,87,88,93,112,121,130,183,196,195,147,102,197,222,214,215,216,94,95,99,101,103,112,102,167,230,183,124,86,89,88,92,116,144,157,131,182,196,129,118,181,180,185,188,190,100,98,97,97,96,100,84,167,228,190,137,91,85,93,105,129,150,163,146,169,170,107,95,96,99,100,103,102,99,99,99,107,107,107,94,173,223,195,144,97,87,93,129,153,168,158,127,127,126,104,111,107,112,109,104,102,97,97,98,101,102,107,94,162,220,197,151,110,100,88,139,161,163,139,107,93,99,112,117,111,109,105,132,174,98,98,99,100,100,104,92,161,212,193,154,124,108,85,132,158,150,117,93,96,106,110,108,97,127,180,211,201,98,100,100,101,100,102,93,181,216,189,160,131,107,86,110,135,123,101,93,106,112,107,102,163,224,216,196,180,97,97,99,100,100,101,96,197,215,184,154,117,96,84,95,106,99,93,104,109,113,108,183,235,211,194,185,162
0,154,154,156,158,159,163,163,164,165,165,166,169,171,171,170,170,171,171,172,172,171,171,172,172,172,172,171,170,154,156,159,161,162,163,164,165,165,167,167,169,170,171,171,170,172,172,172,172,172,172,172,172,172,172,172,173,153,156,159,162,163,164,167,166,168,171,169,171,171,170,170,173,172,170,172,174,174,174,175,175,174,174,175,174,155,158,159,162,163,164,167,168,169,171,170,172,175,173,180,172,172,176,187,174,169,196,163,168,179,177,176,174,157,159,162,163,164,166,168,170,170,177,196,173,156,198,199,163,139,187,203,170,144,195,162,142,184,176,177,176,159,160,163,163,166,169,168,172,167,203,209,181,128,168,196,168,125,140,197,175,131,164,182,128,174,182,177,178,159,162,164,166,168,166,188,191,158,204,201,189,142,141,196,176,142,124,201,177,126,124,186,145,135,170,181,178,161,163,165,168,167,179,213,195,155,179,209,187,160,142,195,180,142,138,203,168,126,86,164,170,143,129,160,183,162,164,166,168,165,199,214,200,172,162,209,184,165,135,199,189,133,142,201,150,118,52,123,178,166,119,128,190,164,165,167,168,171,210,213,209,184,150,200,188,160,133,205,190,122,115,174,134,95,47,143,191,173,125,136,192,165,166,168,164,182,205,192,211,192,143,184,190,151,126,195,176,120,83,131,125,73,68,190,192,178,121,160,191,166,167,171,164,200,205,185,197,167,117,159,177,140,110,151,148,116,74,128,119,65,139,200,188,153,114,182,188,167,170,168,174,212,203,167,176,133,88,129,153,130,93,107,133,90,74,152,152,159,187,186,169,124,126,194,185,167,171,165,192,214,197,160,159,140,100,114,148,135,79,86,124,102,162,199,196,186,167,161,140,116,142,195,187,170,174,168,185,214,208,188,154,138,114,106,165,140,67,75,155,199,211,201,190,174,152,134,127,103,156,196,189,172,176,172,184,214,211,198,177,149,133,136,162,137,118,178,213,213,203,195,183,161,138,124,115,113,187,192,191,172,175,171,189,214,213,204,189,177,152,154,168,185,210,214,212,208,197,181,166,145,125,114,107,173,196,192,192,171,175,172,190,214,214,212,200,191,174,165,188,203,214,212,210,203,189,168,146,126,118,99,152,198,190,195,193,172,175,173,187,214,214,214,207,198,188,178,187,201,214,212,204,196,177,156,130,117,102,123,198,193,194,194,194,173,175,176,184,214,213,214,208,196,185,179,181,193,206,202,190,181,164,136,120,104,104,185,198,194,196,195,194,173,175,178,179,210,213,212,203,189,174,174,178,185,190,184,172,155,143,122,104,95,175,202,194,195,196,195,195,175,179,182,181,204,214,212,203,189,173,174,182,184,185,171,155,132,118,100,78,158,205,194,196,197,196,196,197,174,170,170,160,171,183,166,159,152,145,155,167,164,162,143,131,115,97,75,144,204,195,198,197,197,198,198,196,133,119,118,112,102,96,95,85,77,68,68,65,57,56,54,56,63,61,81,187,205,196,197,198,199,198,198,197,111,112,109,103,101,98,90,80,74,62,55,45,38,37,34,31,30,35,40,50,143,208,196,199,200,199,199,199,117,114,113,106,103,95,88,80,71,61,55,46,41,39,37,35,33,34,38,15,98,214,196,200,199,200,200,200,135,112,115,107,105,94,86,77,64,59,53,48,39,37,35,32,31,31,32,30,179,205,199,201,200,200,200,200,149,115,111,108,104,93,83,75,66,57,50,46,40,39,35,31,30,32,21,88,214,197,200,200,201,201,201,201
8,125,130,137,141,143,146,150,154,157,158,159,160,161,162,162,163,163,164,164,164,164,164,163,162,161,161,160,160,127,133,141,145,146,160,153,151,160,161,162,163,164,165,165,165,165,165,165,165,165,165,164,162,162,161,160,160,131,138,145,150,152,179,148,130,165,167,168,168,169,169,169,169,169,169,169,168,167,168,167,166,165,164,162,161,135,142,149,154,158,193,145,116,170,173,174,174,175,175,174,174,174,175,174,173,172,172,170,170,169,167,165,163,138,146,153,158,163,205,144,115,176,179,180,181,181,180,180,181,181,179,178,178,177,176,175,175,174,171,169,167,142,149,157,162,168,204,142,119,180,184,185,186,186,186,188,178,174,189,183,158,174,182,181,180,178,175,174,173,147,155,161,166,173,209,152,121,183,189,191,191,167,177,210,169,129,172,197,141,138,183,186,186,183,180,179,177,151,158,164,170,178,214,161,129,182,193,209,221,172,162,203,180,142,156,178,151,121,165,192,191,189,186,184,182,155,163,170,175,182,216,183,155,178,201,226,234,219,195,175,172,181,196,153,110,110,141,196,195,193,191,189,187,159,166,174,179,184,213,193,179,193,214,215,215,225,185,174,179,187,185,155,108,81,120,198,198,196,195,193,191,162,169,178,183,186,212,203,191,209,215,195,171,218,190,167,169,157,155,166,125,78,131,203,201,200,198,197,196,165,172,180,186,189,213,217,187,203,206,196,162,182,197,138,113,110,159,181,142,97,161,207,205,203,201,200,199,169,176,183,188,192,217,224,166,183,186,167,160,162,192,138,83,81,190,200,160,111,152,210,208,207,204,202,202,172,180,186,191,195,218,228,171,143,171,147,145,155,181,163,112,99,184,218,178,122,111,201,212,210,208,206,204,174,182,188,193,197,217,234,192,133,142,155,142,169,188,174,133,184,214,215,183,129,94,177,218,214,211,209,208,177,184,190,195,200,216,242,207,150,127,159,147,195,213,191,184,228,220,190,158,124,99,177,221,217,215,213,211,179,186,192,199,204,218,244,218,173,132,141,154,195,225,226,235,227,202,175,137,112,110,203,223,220,219,217,212,181,189,195,201,206,220,246,229,191,150,138,156,188,230,236,239,221,187,155,124,96,143,224,225,219,200,161,120,182,190,197,203,208,221,245,235,203,170,152,160,180,228,239,230,206,173,142,111,93,179,195,158,124,87,62,54,184,191,199,204,208,219,241,236,212,184,171,160,175,215,236,222,190,157,130,103,85,103,76,58,56,59,56,53,185,193,200,205,210,216,233,236,221,195,189,165,164,197,225,214,180,145,121,93,66,49,46,48,45,57,60,51,186,194,200,206,211,214,224,235,226,203,194,172,155,189,206,203,169,135,113,85,55,42,40,52,42,46,58,58,187,194,201,207,212,216,217,230,224,208,192,169,141,177,186,187,154,123,101,66,50,42,31,46,50,40,46,54,186,194,200,206,211,216,212,225,226,209,188,162,137,152,175,165,140,114,90,39,36,51,34,35,50,45,37,44,187,194,201,206,211,216,213,225,234,215,188,162,137,136,162,153,129,105,75,28,20,43,47,32,40,48,40,38,188,195,201,206,211,216,214,224,228,207,180,161,137,131,144,142,120,90,61,40,13,29,49,40,31,44,46,38,189,195,202,207,211,217,205,224,222,186,180,166,143,129,132,136,114,69,45,50,18,17,41,48,34,35,44,41,183,190,198,204,210,216,168,221,224,192,194,176,148,126,127,130,105,47,30,51,27,10,31,48,42,34,37,43
2,193,194,193,194,193,193,195,195,194,195,196,195,194,194,193,193,194,191,193,193,191,191,191,191,189,189,188,187,196,196,196,196,196,195,196,196,195,197,197,196,196,196,197,198,197,198,193,192,190,192,192,192,191,190,189,188,197,197,197,197,197,197,198,198,198,198,198,198,194,190,181,178,159,172,205,198,194,193,192,191,192,190,190,190,198,198,198,199,199,198,198,197,199,199,196,186,163,141,123,108,100,128,180,171,191,195,193,194,194,192,191,192,200,200,200,200,200,201,199,199,195,193,178,143,115,103,100,83,82,91,120,103,184,199,196,196,196,194,195,194,201,202,202,201,201,201,201,195,187,170,134,101,84,79,76,77,81,93,99,102,183,200,196,196,197,196,194,195,201,202,201,201,202,202,200,189,184,132,89,77,72,75,82,73,74,82,93,98,110,202,197,196,197,196,195,196,202,202,201,200,201,203,198,192,165,112,73,66,75,78,77,73,85,96,98,102,157,204,197,199,198,199,198,197,203,203,203,202,203,204,195,192,141,92,70,77,77,67,81,93,84,85,118,182,204,199,201,201,197,185,193,199,203,203,204,203,204,203,196,186,138,95,73,84,71,81,89,79,109,179,202,206,201,202,203,198,180,147,158,205,204,204,204,205,208,199,199,182,137,99,82,71,76,97,92,145,201,209,202,202,202,203,200,178,177,121,166,207,206,205,205,207,200,188,205,178,133,96,84,67,89,85,135,222,203,203,204,203,203,205,187,172,159,114,198,202,208,207,206,210,190,179,206,179,143,104,80,72,87,83,187,210,203,206,206,204,204,206,175,178,126,128,211,199,208,208,207,212,187,176,210,183,156,111,78,79,77,126,218,204,207,207,206,206,207,192,168,168,117,138,212,201,208,208,208,213,185,187,216,188,161,124,84,81,70,162,222,210,212,212,208,209,192,175,178,166,104,137,215,202,208,208,208,215,186,195,218,189,165,133,89,80,74,157,211,188,183,191,202,195,174,180,176,138,101,188,206,204,209,209,209,213,184,199,218,186,166,144,96,76,85,101,127,136,142,147,154,145,166,171,145,104,179,210,203,205,210,211,211,214,183,200,216,188,171,146,102,79,89,111,138,156,157,140,137,130,138,139,99,171,213,203,207,205,210,211,210,213,181,200,213,194,176,147,105,94,99,135,148,162,152,136,120,117,118,93,153,216,204,208,208,207,211,212,212,210,184,200,210,196,173,146,114,104,97,135,142,151,148,130,113,111,87,126,217,207,208,208,207,207,213,212,215,210,189,203,207,198,171,143,121,113,98,124,134,136,137,123,111,90,107,202,213,208,210,209,209,208,213,213,214,208,195,206,205,203,172,139,123,112,97,121,121,122,119,109,92,137,204,214,209,210,209,209,209,208,215,214,215,206,201,209,201,197,162,125,113,104,96,117,109,114,100,97,170,218,213,211,210,209,209,209,208,208,214,213,215,202,202,208,198,188,151,112,105,100,100,112,102,95,104,185,221,211,212,212,211,211,210,210,210,209,213,213,214,203,196,201,197,192,160,108,108,109,105,106,82,121,201,218,213,213,214,213,212,212,211,209,209,209,213,214,213,203,199,193,197,202,175,106,114,115,112,86,119,215,213,211,214,213,212,212,211,211,210,208,208,208,213,214,208,204,210,200,203,203,181,108,116,120,108,111,208,216,213,214,214,213,212,212,212,211,210,209,208,208,213,215,207,206,209,208,204,200,178,115,110,116,101,167,222,212,215,215,215,214,212,213,213,212,210,210,209,208
23,132,136,139,142,146,148,151,154,155,158,158,161,161,162,163,165,165,166,169,169,170,172,172,172,172,173,173,174,133,137,141,144,148,150,151,154,156,159,159,160,162,164,165,167,167,168,171,172,171,173,173,173,174,173,174,175,134,138,141,145,149,151,152,155,157,158,160,162,164,165,164,167,161,165,166,147,169,174,174,175,175,175,177,176,136,138,142,146,150,152,153,156,158,159,161,163,164,165,172,172,156,147,126,93,168,176,176,178,177,177,178,177,137,141,143,147,150,152,154,157,159,161,163,162,165,173,177,154,109,107,102,142,178,176,177,179,178,178,178,178,138,141,144,148,151,152,155,158,159,162,162,170,183,163,148,106,110,149,172,180,177,178,179,179,179,180,180,180,138,142,145,147,151,153,156,159,160,163,161,183,186,133,95,128,171,123,154,180,177,179,181,180,181,181,181,181,138,142,146,149,152,155,156,158,161,163,162,187,190,144,153,195,165,125,123,184,181,180,181,181,181,182,182,183,138,143,147,149,153,154,156,159,162,165,164,192,187,184,196,177,152,156,133,153,162,180,181,181,182,183,183,183,139,143,147,150,153,155,157,161,163,165,167,189,182,189,180,177,177,167,131,84,96,164,184,183,183,184,184,184,140,145,148,152,153,155,159,163,164,165,170,175,171,176,178,172,165,156,113,69,64,122,190,185,183,184,184,184,140,145,148,152,154,156,158,162,163,175,178,166,162,170,169,165,161,141,101,72,63,80,139,185,184,184,184,183,139,144,149,152,155,156,159,162,166,201,186,169,173,162,155,141,122,125,103,73,57,78,84,147,189,185,185,183,140,144,149,153,155,157,160,163,164,196,197,183,176,147,116,78,78,136,103,71,51,78,83,141,190,186,185,185,140,145,150,152,156,158,160,163,165,189,193,178,162,146,113,65,81,135,98,67,66,87,96,177,187,186,186,187,141,146,150,154,156,158,160,163,165,190,194,172,182,141,78,52,100,93,60,58,86,94,129,190,187,187,187,188,141,146,150,155,156,157,160,163,165,189,189,180,175,131,81,40,56,38,50,68,96,98,173,188,187,187,187,187,142,145,150,153,156,158,161,164,166,189,186,186,172,131,92,32,32,54,79,89,91,124,190,187,187,187,187,187,143,147,151,153,156,159,162,164,167,191,186,187,171,129,98,49,50,82,100,103,90,163,191,188,188,188,187,187,144,147,151,154,157,160,162,164,168,191,188,185,165,129,100,57,65,93,103,98,116,191,187,189,189,188,188,188,144,147,151,156,157,159,162,164,169,192,185,177,158,126,98,64,72,99,103,90,148,193,188,189,190,189,189,189,143,147,152,156,157,160,164,165,173,191,176,168,153,123,100,78,74,100,98,91,176,189,188,189,189,190,189,190,143,147,151,156,157,160,163,165,174,189,173,164,148,125,107,85,77,96,90,119,192,189,189,189,190,191,191,192,144,148,152,156,158,160,164,165,177,189,174,168,149,130,112,90,80,89,90,171,190,190,190,191,191,192,192,192,144,148,152,157,157,160,165,164,182,190,174,164,149,135,110,89,82,82,143,191,189,190,190,191,192,193,193,192,144,148,153,157,159,162,164,167,189,184,171,158,146,130,98,89,81,137,190,189,189,189,190,190,192,193,193,192,144,148,153,157,159,163,163,180,191,179,168,149,131,115,95,83,117,190,189,189,189,189,190,191,192,193,193,193,144,149,154,157,158,162,161,188,184,178,163,143,123,113,95,82,169,191,189,190,190,190,192,191,192,193,193,193
0,173,173,173,173,173,173,173,173,172,172,170,170,170,170,169,168,168,167,166,165,164,164,163,162,161,160,158,158,174,175,174,174,175,173,173,174,174,172,172,171,172,171,170,168,168,168,168,167,165,164,164,162,160,160,160,159,174,175,175,175,175,174,174,175,174,173,173,173,174,171,171,170,170,167,167,167,166,166,165,163,161,161,161,160,176,176,176,175,175,174,176,175,175,174,174,172,165,174,174,172,172,175,168,168,168,165,165,164,163,162,161,160,176,177,178,178,176,176,176,176,174,178,174,155,125,125,167,146,127,135,173,165,164,170,165,167,166,163,161,161,177,177,178,178,177,177,177,166,140,144,167,147,126,95,116,137,113,85,122,131,109,123,168,150,153,165,161,161,179,178,178,178,177,176,177,162,142,115,130,163,126,102,106,150,122,96,83,127,104,71,120,136,116,169,162,161,179,179,178,177,177,178,177,177,155,136,104,150,132,106,102,149,127,96,93,137,117,79,76,133,106,167,163,162,180,180,179,178,178,182,175,163,161,138,93,139,139,107,100,147,126,96,77,124,110,80,67,125,97,153,168,164,181,180,180,180,179,182,165,130,158,119,86,140,128,96,93,136,114,87,67,114,101,72,68,127,99,113,172,163,181,181,180,181,181,177,148,116,155,110,86,135,110,81,87,127,105,78,76,133,114,66,65,130,121,87,143,169,181,180,181,180,183,178,164,140,152,124,99,130,118,84,89,135,112,69,114,153,114,58,80,132,124,89,103,175,181,181,182,182,183,170,151,133,133,123,97,136,132,84,105,147,121,78,106,141,82,56,121,140,122,76,115,174,182,183,183,184,180,153,130,113,101,88,82,137,124,79,97,148,120,73,38,54,42,95,144,140,105,73,158,168,184,183,184,183,178,160,137,114,93,86,83,93,102,78,62,88,88,87,107,77,87,143,140,127,77,112,177,164,184,184,184,181,174,159,139,115,96,93,99,95,100,104,97,100,130,151,147,141,121,131,130,102,71,159,171,166,185,184,185,184,176,161,142,121,99,92,98,107,123,134,142,154,156,146,136,135,115,112,117,73,101,177,167,168,184,184,184,182,177,161,144,127,109,100,100,110,140,152,160,158,153,142,133,130,108,96,99,59,146,175,169,168,184,185,185,182,179,164,149,133,115,114,106,137,164,162,162,158,150,137,129,124,99,86,62,97,178,170,171,169,185,185,185,182,181,169,153,140,129,125,132,160,166,164,162,156,145,135,122,111,89,59,81,169,174,171,171,170,185,186,185,183,181,171,156,146,137,131,152,161,166,167,161,145,138,128,114,100,65,71,169,175,172,173,172,170,185,186,186,182,179,174,162,150,139,134,158,163,167,165,153,137,128,118,104,74,61,160,178,171,173,174,172,170,185,186,187,181,177,173,164,154,141,134,156,164,158,153,140,127,114,106,81,56,149,182,173,175,173,174,172,171,186,188,188,184,178,176,167,161,150,139,151,158,149,141,129,115,103,80,52,139,184,175,177,175,174,173,171,171,187,187,189,185,181,173,166,162,155,144,149,152,141,128,119,105,78,53,137,186,175,178,176,175,174,173,172,171,187,187,188,184,179,171,174,174,164,151,146,144,129,118,109,84,55,141,188,179,180,179,176,174,175,173,173,172,187,187,187,183,182,170,173,174,159,150,141,137,119,102,93,59,138,190,179,180,180,179,177,176,176,174,173,172,187,188,186,179,175,155,170,162,152,146,137,123,111,97,69,94,191,180,181,180,180,179,178,177,175,175,174,172
18,161,163,166,168,171,173,174,176,178,179,182,181,182,181,182,184,185,185,186,185,185,186,186,186,186,185,185,184,162,165,167,170,172,174,177,178,180,181,183,183,183,184,184,186,187,187,188,187,186,186,188,188,187,188,187,186,164,166,169,172,173,176,179,181,183,183,185,185,186,186,187,187,188,188,188,188,188,189,189,189,190,190,190,189,167,169,171,173,175,178,181,183,184,185,186,187,188,189,189,190,190,191,192,191,190,192,191,192,192,192,192,191,167,170,172,175,178,181,183,185,186,187,189,189,190,192,192,192,190,190,179,190,195,196,196,193,193,193,193,192,168,172,174,178,179,182,185,186,188,189,191,191,192,194,192,190,207,182,144,138,193,182,180,198,196,194,194,195,170,173,176,179,180,182,186,186,190,193,192,194,195,193,170,146,187,162,116,113,118,155,135,155,204,195,197,197,172,175,178,180,182,185,186,189,191,192,193,188,189,217,165,135,163,156,118,114,96,150,155,107,177,204,198,198,173,177,180,182,185,186,189,191,193,192,202,176,137,176,187,158,168,175,159,157,141,130,141,108,145,211,198,199,174,178,182,185,186,187,190,192,193,195,213,190,159,126,177,174,142,179,187,186,183,150,107,93,143,212,201,203,176,178,182,186,187,189,192,194,195,201,198,207,186,140,129,173,128,141,186,183,186,155,110,80,154,212,202,205,177,179,183,185,188,191,192,195,195,204,169,183,180,157,106,135,143,122,157,153,177,161,121,81,162,213,203,205,178,182,186,188,190,191,194,196,196,207,154,137,167,133,92,107,132,103,110,144,186,176,134,85,178,210,203,205,180,182,185,188,191,192,195,198,199,209,186,155,152,111,83,100,116,90,91,106,197,186,147,94,184,213,204,205,181,184,186,189,192,194,197,199,201,208,182,145,139,112,82,92,116,78,78,135,201,200,161,104,127,216,205,207,182,185,187,189,191,194,197,198,201,208,193,160,134,113,81,94,117,77,144,207,202,194,158,121,95,200,213,209,183,186,188,191,192,195,198,200,200,212,204,175,142,116,103,94,95,147,217,214,208,181,144,120,104,202,212,210,185,187,189,192,194,197,199,201,201,213,206,178,149,131,122,116,140,206,219,209,194,171,129,106,116,215,210,210,186,188,189,193,196,198,201,203,203,210,208,186,164,152,137,127,166,213,219,202,170,151,123,94,139,220,209,211,185,188,190,192,196,198,201,204,202,209,207,191,170,151,141,130,166,212,218,192,163,139,116,92,163,221,210,212,186,189,191,194,196,199,201,205,204,204,204,192,171,152,160,137,154,211,213,180,151,127,110,94,187,219,212,214,187,189,191,196,198,200,203,204,206,203,201,197,178,167,170,142,139,209,198,167,137,117,104,106,207,217,215,215,187,190,193,196,198,202,202,202,205,203,198,194,183,167,170,149,132,201,184,152,127,110,97,125,222,215,216,216,188,190,192,195,197,199,201,202,205,206,201,196,187,169,164,149,127,189,172,135,119,110,92,152,226,214,216,216,186,188,190,194,198,198,200,203,205,205,204,204,186,164,153,132,117,171,150,119,113,108,97,187,220,215,216,216,186,188,192,194,198,199,201,203,205,198,208,202,174,154,132,113,124,157,133,122,116,101,135,217,213,215,216,216,187,189,193,195,199,200,202,205,204,198,217,199,176,161,137,133,131,154,125,125,113,101,190,218,214,216,216,216,187,190,193,196,199,200,203,205,203,203,217,205,187,173,144,134,144,143,126,123,94,148,220,213,216,216,216,217
0,191,192,193,193,194,195,195,196,196,196,195,194,195,195,195,195,195,195,195,196,195,195,196,196,193,194,194,193,192,194,194,194,194,196,197,196,197,196,195,196,197,197,195,196,196,199,197,198,197,197,197,197,196,196,196,196,194,195,196,196,196,196,197,197,197,197,197,196,195,197,207,188,157,171,199,189,192,200,198,197,197,196,198,198,195,195,196,197,198,197,196,198,198,198,201,197,168,164,213,182,152,128,132,146,142,181,187,152,192,200,199,198,196,196,197,198,199,198,198,199,199,201,223,206,168,135,181,189,168,146,85,137,136,123,171,118,180,203,199,199,197,198,199,199,199,199,199,204,183,174,227,205,178,148,174,207,174,152,99,158,146,118,146,121,171,204,201,201,197,198,200,200,200,200,204,228,180,144,189,216,185,157,162,225,186,157,106,171,149,109,119,128,144,210,202,202,197,198,200,200,202,199,216,223,190,163,162,229,191,157,147,226,189,154,103,172,145,97,105,138,97,198,202,203,198,200,200,200,199,213,209,211,202,174,140,214,197,153,128,223,185,141,84,140,133,89,95,145,85,149,210,204,199,201,201,201,203,217,184,205,211,180,130,189,201,150,107,195,173,127,76,113,117,82,97,151,95,120,211,204,201,201,203,201,212,207,170,183,207,178,127,158,194,142,91,155,159,121,80,96,105,74,117,160,107,124,212,208,200,202,203,202,213,203,176,168,189,161,117,127,175,132,83,120,152,117,77,99,108,85,161,174,117,128,213,208,199,200,201,206,214,193,164,137,172,152,112,104,166,130,73,96,153,113,76,121,116,112,187,173,117,137,212,207,199,200,201,202,225,207,172,128,142,150,105,92,160,135,72,92,160,119,138,180,150,122,178,176,115,150,212,207,200,201,201,204,225,212,179,140,104,133,122,90,163,149,86,102,163,169,184,178,160,132,131,160,107,153,211,206,201,201,200,208,229,216,191,158,122,111,131,109,163,162,147,182,192,188,178,165,146,133,112,114,92,150,213,206,202,202,201,208,230,222,198,171,155,144,141,160,176,187,202,205,202,191,175,158,136,120,111,93,81,147,214,208,202,202,202,207,224,224,207,187,173,162,152,157,179,194,203,203,203,192,170,154,133,112,100,91,78,170,214,209,201,203,202,204,219,220,214,200,188,170,161,158,172,190,201,200,196,186,165,149,128,108,96,83,130,208,212,210,202,204,204,198,217,220,221,210,194,174,162,161,173,194,204,200,189,179,162,145,123,103,84,118,204,210,211,210,165,169,174,168,202,221,225,211,195,178,165,161,174,198,202,194,182,173,158,136,114,93,94,193,214,213,213,213,99,102,104,96,154,220,216,205,196,183,169,157,173,194,191,179,167,158,144,124,105,90,115,166,168,170,171,170,104,104,103,96,122,217,203,196,196,187,174,156,168,190,182,166,147,134,123,113,96,96,98,98,98,97,117,151,103,104,105,101,113,211,191,193,198,188,172,156,164,187,177,155,124,110,103,96,98,105,101,100,129,175,212,210,102,102,103,102,109,208,191,193,198,184,172,162,159,179,170,140,104,93,89,97,106,111,139,183,218,220,210,193,102,101,102,102,106,213,206,195,196,181,169,165,153,164,160,125,94,87,88,99,123,194,229,238,227,220,212,192,102,103,102,101,102,209,213,204,194,178,170,169,147,155,153,117,89,84,91,146,217,236,237,230,219,225,228,213,103,102,102,102,102,199,212,210,194,178,170,170,144,146,149,112,84,75,151,222,227,231,233,218,214,222,232,232
17,148,149,151,153,157,160,160,164,165,164,166,168,169,170,172,174,174,174,175,175,176,176,176,176,175,176,176,176,149,150,152,157,158,160,161,164,165,166,168,169,170,172,172,175,175,175,175,175,177,177,178,179,178,180,179,178,150,152,156,159,161,162,163,165,167,167,170,171,171,174,174,175,176,177,177,177,179,178,179,180,180,180,181,181,152,154,157,159,161,163,165,166,167,169,171,171,173,175,176,176,178,180,179,180,182,180,180,182,180,182,182,182,151,154,158,160,162,164,166,167,169,170,172,173,175,176,177,179,180,180,176,184,180,181,183,182,182,183,183,182,152,155,157,160,164,166,166,168,170,170,173,175,176,176,179,180,179,184,159,134,136,129,187,183,183,184,184,184,154,156,159,161,163,166,168,170,171,173,175,175,176,178,180,181,179,191,186,114,81,104,187,183,185,185,184,185,155,157,160,163,165,167,168,171,174,177,177,178,179,181,180,182,181,191,196,138,73,113,196,184,186,185,184,185,156,158,160,164,166,167,170,172,175,175,176,179,180,177,185,183,183,187,203,160,85,135,198,185,187,186,185,187,156,158,162,165,166,169,173,173,173,175,177,176,182,161,142,188,184,188,203,159,102,168,193,189,189,187,187,187,156,160,163,165,167,170,173,173,175,176,178,180,189,173,122,132,187,203,198,151,106,178,193,190,189,189,188,187,157,160,163,166,169,171,173,174,174,181,168,146,183,192,175,154,128,162,189,154,104,177,195,190,190,190,189,189,157,160,165,167,169,173,175,173,179,207,167,113,159,189,206,191,136,87,148,146,106,176,196,191,190,190,190,190,158,162,166,168,170,174,176,173,190,174,179,148,147,131,174,208,171,98,104,127,99,173,196,192,190,190,192,191,159,163,167,169,171,173,176,173,200,164,131,136,101,64,110,225,190,124,85,102,89,173,198,192,192,192,192,191,161,163,165,169,171,174,177,178,196,152,116,134,109,94,110,221,206,149,87,91,82,170,198,193,193,193,192,192,160,163,166,170,172,175,175,185,202,172,155,143,119,144,128,208,211,161,102,87,84,163,201,192,194,194,192,193,161,164,167,171,172,176,174,196,192,152,144,137,132,154,182,208,190,169,113,81,80,165,201,192,195,195,194,194,162,165,167,170,175,177,175,204,179,148,137,138,147,169,233,206,169,156,110,76,72,168,203,195,195,195,195,195,164,165,167,171,175,177,175,212,182,157,140,141,150,213,224,202,166,144,105,75,73,179,200,197,195,195,195,195,163,166,168,172,174,175,181,216,185,168,142,141,179,230,208,195,156,137,98,72,92,201,196,196,195,195,195,196,162,165,170,173,176,174,188,218,186,176,158,143,201,227,203,192,148,124,95,65,135,207,194,196,196,196,194,194,163,165,169,173,179,175,194,224,190,186,176,152,205,213,194,186,151,110,88,75,182,200,196,198,198,198,196,196,163,167,172,175,177,175,190,228,198,192,184,164,189,206,191,178,144,108,74,117,208,195,197,197,199,199,197,196,163,166,172,175,178,178,184,225,207,187,176,173,178,195,185,188,140,101,71,153,207,194,196,198,198,197,197,197,164,167,172,176,178,181,180,219,201,186,169,172,181,182,183,189,141,99,75,173,205,198,199,199,199,198,198,199,164,167,171,174,177,179,184,218,199,187,170,170,182,179,183,179,131,96,98,200,200,200,200,200,199,199,199,198,164,165,168,173,178,178,188,221,210,189,176,180,188,172,179,164,119,83,146,209,198,199,199,199,199,200,200,198
0,171,173,176,178,180,182,183,185,185,186,186,186,186,186,186,186,187,186,185,185,185,184,184,184,184,184,181,180,172,174,177,179,181,183,185,186,187,187,188,188,189,188,187,188,188,187,187,187,186,185,185,185,185,184,183,182,173,175,178,180,182,185,186,187,187,188,189,190,191,190,190,191,191,189,189,188,187,187,186,186,185,184,184,183,176,177,180,182,184,186,188,188,189,191,192,192,192,192,191,191,190,190,190,189,188,188,188,187,187,186,185,185,177,179,181,183,186,188,189,190,192,193,193,191,186,175,185,190,168,163,188,191,189,187,187,189,188,187,186,186,178,180,182,184,187,188,190,191,193,183,183,207,184,143,138,191,160,116,155,178,180,174,158,189,190,188,187,187,180,182,183,186,188,189,191,193,200,172,145,191,198,159,124,190,169,125,93,115,151,179,131,178,192,190,190,188,180,182,185,187,189,190,190,200,213,196,156,145,199,163,124,189,172,129,87,129,147,182,144,139,187,191,192,190,180,183,186,188,190,192,193,209,207,205,174,118,173,164,120,186,175,123,103,147,125,176,167,130,148,187,192,191,181,184,186,188,190,192,197,209,176,197,164,101,142,164,120,181,166,108,104,143,101,156,182,153,116,151,195,192,184,186,188,189,190,191,207,209,168,187,141,92,137,146,109,157,142,96,98,134,105,179,201,164,109,131,194,192,185,187,188,190,192,193,214,205,175,179,129,89,131,126,95,128,123,90,97,127,122,198,197,156,100,159,195,194,186,187,189,192,193,199,220,196,158,155,135,91,119,119,89,118,115,82,132,147,163,195,177,129,107,187,195,194,187,188,191,194,194,201,226,208,172,133,110,78,123,134,92,130,131,124,168,167,168,177,144,101,139,199,196,195,187,189,192,194,195,204,226,208,185,153,112,90,114,120,92,126,175,191,181,167,145,141,118,88,172,201,198,196,188,190,193,195,196,210,227,206,189,170,140,106,108,130,145,185,206,198,174,158,131,108,97,95,189,201,200,199,189,191,194,196,197,213,228,208,190,174,154,116,110,144,189,215,212,192,164,146,118,92,80,131,201,201,200,200,190,192,194,196,196,210,227,212,192,179,166,131,120,145,202,217,209,182,153,132,104,81,92,185,203,201,201,201,191,193,195,197,196,206,226,215,196,181,171,144,124,153,209,217,197,168,139,115,91,78,152,203,202,202,202,201,191,194,195,199,198,204,225,216,200,181,167,146,125,164,206,205,180,157,128,100,78,120,199,205,204,202,202,202,191,194,196,199,199,204,225,214,199,182,162,142,131,174,191,180,167,146,116,85,87,181,206,206,205,204,203,203,192,194,196,199,198,204,226,213,202,182,157,141,147,175,164,160,151,128,99,78,150,206,207,206,206,206,204,203,192,194,195,198,196,216,229,217,210,185,160,148,158,169,148,147,132,109,82,123,201,209,209,207,207,206,205,203,192,195,197,197,201,229,225,217,209,180,158,154,159,153,141,135,118,92,106,191,211,210,208,208,207,207,206,204,191,194,197,194,214,224,208,206,200,169,152,155,149,138,131,118,96,99,177,210,211,209,208,208,208,207,205,205,191,193,194,190,221,212,188,179,176,156,147,151,138,128,119,100,92,160,205,209,209,209,209,208,207,207,206,205,191,194,190,196,223,203,176,157,151,137,148,149,121,117,109,84,133,202,211,210,210,210,209,208,207,207,206,206,192,194,187,212,222,193,162,151,139,124,148,140,108,112,93,92,180,209,210,210,210,210,209,208,207,207,207,207
6,205,208,209,211,212,211,211,212,212,213,214,214,214,214,214,214,214,213,212,210,210,208,208,207,204,204,202,202,208,209,210,212,213,213,213,213,213,215,216,216,215,215,215,215,215,215,214,212,211,211,210,208,207,206,205,206,209,209,212,213,214,215,215,215,215,216,216,215,214,217,218,218,217,216,216,215,214,214,211,211,210,207,208,207,211,212,214,214,215,217,217,216,215,216,216,216,217,218,218,217,217,216,216,215,214,214,213,213,211,210,210,207,214,214,215,215,217,217,217,218,218,217,218,218,218,220,220,220,220,220,219,218,216,216,213,214,212,211,209,207,215,216,216,218,219,218,219,220,220,220,221,221,220,220,220,220,221,221,220,220,217,217,216,215,215,214,213,212,215,216,219,220,220,221,222,222,221,220,222,223,222,222,222,223,222,223,221,221,219,218,216,215,214,213,212,213,217,219,220,219,220,222,223,224,223,223,224,224,224,223,223,223,223,224,224,224,220,219,220,218,217,216,215,215,218,220,221,221,221,224,223,223,224,224,225,225,223,224,225,223,223,222,222,222,220,219,219,218,215,215,213,214,221,221,223,222,223,224,224,226,227,231,231,227,217,198,209,219,221,217,218,218,218,211,213,211,208,214,200,237,220,222,224,225,227,229,229,230,225,223,224,222,214,190,162,198,215,219,219,218,204,207,206,205,205,207,195,206,226,229,228,226,223,223,223,220,214,214,218,218,224,212,147,138,154,166,168,170,172,167,166,170,170,171,174,178,241,237,228,217,214,215,215,211,204,206,204,197,194,175,146,135,118,119,164,177,189,194,201,210,216,215,216,222,238,234,227,214,209,204,197,196,199,197,190,188,191,167,135,135,143,138,179,236,236,232,231,230,227,225,226,220,235,230,224,213,202,194,194,194,195,195,196,204,219,198,139,116,129,150,133,155,221,230,227,228,227,230,212,152,230,224,217,210,199,189,183,182,188,196,204,205,202,188,152,136,131,133,145,132,155,233,230,230,227,232,153,125,225,218,215,216,204,193,185,181,184,188,195,211,193,160,153,155,151,140,130,134,137,224,230,226,234,214,133,132,221,214,214,212,205,198,192,187,188,184,183,198,205,168,128,134,162,162,147,121,164,238,230,239,210,139,123,106,213,210,208,206,205,203,196,190,190,190,192,206,200,164,138,124,134,156,163,137,161,229,193,181,141,112,109,93,151,165,184,203,209,210,205,196,193,189,189,202,200,167,146,153,146,132,140,147,140,146,127,118,109,101,90,85,70,74,97,150,212,210,206,201,197,192,186,180,183,169,168,169,159,149,140,120,114,115,126,121,109,99,84,79,67,59,54,58,133,204,186,175,171,167,166,152,149,136,136,160,165,164,148,114,82,95,111,103,100,97,92,81,59,54,54,55,48,106,184,187,193,199,207,219,148,103,108,126,155,148,133,120,86,76,97,96,91,92,98,86,52,48,45,45,41,168,229,227,232,234,235,239,214,168,162,153,149,101,123,118,82,69,75,91,87,85,94,92,48,42,41,29,68,155,143,146,147,148,152,154,160,163,163,161,135,83,115,116,79,62,66,79,80,82,89,92,43,40,38,32,61,131,126,126,127,126,129,130,126,123,143,150,119,73,110,107,74,58,69,71,74,76,83,87,45,43,45,27,64,145,136,137,137,137,133,134,138,145,130,118,108,74,100,98,71,55,62,70,70,71,76,82,52,50,42,19,90,146,135,136,138,139,136,136,136,124,109,95,94,80,90,94,68,57,58,65,65,68,72,78
2,167,167,168,168,168,168,167,167,167,165,164,164,163,162,161,161,161,158,157,158,156,155,154,152,151,149,149,148,169,169,169,168,169,169,168,168,168,167,167,165,165,164,162,162,163,160,161,160,158,156,154,154,153,151,149,148,169,169,170,170,169,169,169,169,168,167,167,167,167,166,163,164,164,163,162,161,160,158,155,155,154,153,151,147,171,171,171,171,170,171,171,170,169,169,169,167,164,161,162,160,159,164,164,163,162,159,157,155,154,153,152,149,173,173,173,172,172,172,172,171,170,171,169,176,170,157,158,155,139,142,146,150,152,155,159,158,155,154,153,151,174,175,174,173,174,173,173,173,173,170,179,199,192,187,187,186,169,145,122,110,109,140,150,154,156,155,154,152,174,175,174,174,174,173,174,174,174,165,168,180,173,166,170,176,172,167,146,113,116,141,116,125,162,154,154,153,175,175,176,176,175,175,176,172,177,188,178,181,185,173,158,147,126,135,152,147,162,127,92,140,162,156,155,154,176,177,178,177,177,177,174,177,200,190,181,180,183,179,171,165,137,141,145,126,131,106,123,165,159,159,157,155,177,178,178,178,178,177,175,197,187,148,135,148,158,149,147,177,145,134,146,98,116,135,160,163,160,158,158,156,178,178,179,179,178,178,193,196,159,161,174,177,177,162,159,168,119,98,115,127,167,167,166,167,164,160,158,159,179,178,179,179,179,181,201,178,177,195,197,175,151,140,125,120,132,160,162,169,169,171,161,143,135,153,162,158,179,179,180,180,179,187,190,189,188,174,151,131,103,91,70,112,182,172,174,169,171,142,101,87,85,95,152,161,180,180,180,180,180,188,193,198,169,130,104,84,77,73,63,74,174,173,170,176,135,82,89,97,101,81,137,165,179,180,181,179,177,194,204,180,142,106,81,71,71,68,70,58,109,184,180,155,86,92,103,107,100,106,156,162,180,180,182,177,175,209,199,153,112,92,78,68,71,71,71,70,64,113,162,113,83,108,107,98,120,155,163,160,181,181,183,177,183,214,179,132,102,94,74,67,72,70,71,73,76,61,67,91,93,105,96,119,166,165,161,161,182,182,183,175,184,198,158,120,102,87,67,71,73,78,79,82,86,83,67,92,98,95,98,158,169,165,163,161,181,181,182,175,181,190,153,118,95,80,68,72,79,86,88,93,95,98,83,94,101,93,124,173,167,166,165,163,179,179,182,169,183,191,153,119,95,84,70,73,83,93,98,101,105,109,97,90,102,92,149,172,167,167,165,162,180,180,184,162,184,186,149,122,101,90,76,74,86,100,109,112,114,113,104,92,96,132,168,168,166,164,160,161,181,181,186,165,183,179,146,122,103,95,86,75,90,105,111,113,116,111,99,98,142,170,169,168,165,165,181,196,180,181,185,165,178,177,149,125,108,101,92,77,90,106,110,111,110,108,92,130,177,169,169,167,183,187,214,215,179,181,185,165,176,173,144,124,113,105,93,80,94,101,103,104,102,94,112,166,172,171,166,205,233,203,192,218,183,184,187,169,173,171,140,125,111,103,94,86,97,96,97,98,94,115,166,177,177,167,195,230,218,229,195,193,157,157,161,150,171,168,141,124,107,101,97,93,96,96,94,96,117,154,162,160,151,190,224,226,215,207,224,182,93,95,92,105,183,164,137,116,105,103,101,96,90,95,99,88,90,90,92,80,147,230,223,226,210,195,214,211,94,98,90,133,183,158,136,112,105,103,100,97,89,96,95,87,87,89,80,124,231,222,223,228,204,186,209,211
19,136,137,137,139,140,141,142,142,142,143,143,142,142,141,141,141,140,139,137,137,137,136,136,135,134,133,134,132,136,138,139,140,142,142,143,143,143,143,144,143,143,143,142,142,141,141,140,139,138,137,136,136,136,136,136,135,137,139,141,141,142,144,144,144,145,145,145,144,144,144,143,143,143,141,141,141,140,140,139,138,137,137,136,135,138,140,141,143,143,144,146,146,147,147,147,146,145,144,144,144,144,142,142,142,141,142,141,139,138,138,136,136,139,140,141,143,144,145,147,148,149,149,148,148,149,146,146,146,144,144,143,143,143,142,141,140,138,138,138,137,140,142,142,143,145,148,148,149,149,149,149,149,150,150,148,146,145,144,144,143,143,142,142,141,139,139,138,138,141,142,143,146,147,148,149,151,150,150,150,150,148,148,148,151,149,147,146,145,145,144,142,142,141,141,139,139,141,144,146,148,149,150,151,151,151,151,150,151,150,149,144,137,145,148,147,148,148,145,144,143,141,139,140,139,143,144,147,149,150,151,152,152,152,152,151,151,150,154,138,102,110,150,137,138,142,140,136,140,139,88,135,142,145,146,148,149,150,152,152,152,152,149,145,148,148,154,148,142,151,154,142,142,153,146,139,124,91,79,139,143,146,147,149,150,150,153,152,155,158,134,126,133,140,143,135,126,117,124,115,124,139,119,96,87,102,136,146,143,145,148,149,150,151,153,151,152,135,128,138,140,132,133,128,121,88,78,78,83,115,115,129,141,150,147,144,145,148,149,150,151,154,148,157,170,155,155,156,149,139,127,94,72,79,60,57,125,156,152,152,149,147,146,144,145,150,150,151,152,157,147,179,190,167,151,143,137,133,117,85,58,71,62,65,144,153,150,149,148,147,147,147,147,148,150,152,153,157,148,177,181,150,125,100,91,93,101,89,65,71,64,69,148,152,152,151,151,148,148,148,148,149,150,153,154,156,148,162,170,140,93,83,52,47,116,96,71,73,64,81,154,153,153,152,151,151,150,149,148,150,151,153,154,158,146,156,170,137,98,63,38,92,114,90,73,74,62,100,162,154,154,154,153,153,151,150,149,150,151,154,155,159,144,153,174,142,112,84,54,59,59,56,62,63,70,80,158,156,155,154,154,153,152,150,149,152,153,155,156,160,145,151,174,147,118,90,78,50,29,27,36,53,64,62,145,159,155,155,154,153,152,150,149,152,154,156,156,162,143,144,171,144,119,93,80,79,59,49,54,64,70,64,135,162,156,156,154,153,153,152,152,152,154,156,157,161,147,141,168,142,117,94,82,81,68,60,64,70,76,69,138,162,156,156,155,154,154,154,153,152,154,156,159,162,150,139,166,142,114,95,83,81,70,60,65,72,76,77,150,161,157,157,156,155,155,156,154,153,155,157,159,163,154,143,160,135,110,92,81,80,74,67,70,78,78,95,162,160,159,158,157,156,156,155,154,155,157,157,159,162,155,152,163,136,108,94,83,79,78,77,78,85,75,127,166,159,160,159,158,158,157,155,156,156,157,158,161,164,151,155,167,141,115,98,86,79,83,83,85,81,102,160,161,162,161,161,158,158,157,156,156,154,156,157,160,166,146,156,162,142,126,103,85,79,86,86,83,119,159,163,163,161,160,160,158,158,158,157,155,154,156,156,157,159,148,160,154,131,119,101,84,83,84,77,104,163,163,161,161,160,159,159,158,158,157,156,155,153,157,157,159,157,159,168,157,138,117,104,89,80,80,72,120,162,162,161,161,160,159,159,158,158,156,155,155
20,166,171,174,179,181,184,187,189,191,193,194,194,194,193,198,199,197,199,199,199,199,201,200,199,200,199,198,196,170,176,180,184,187,190,193,194,197,199,200,200,197,217,172,184,207,202,202,203,203,204,205,204,206,205,202,201,175,180,184,188,191,195,198,200,201,202,204,205,205,248,147,140,206,207,206,207,208,208,210,209,209,207,205,204,179,184,190,193,196,201,201,203,206,207,209,208,214,249,152,124,166,166,221,211,212,212,213,213,212,211,209,208,183,189,194,198,201,203,206,208,210,211,213,214,218,245,147,153,194,124,224,216,215,215,216,217,216,215,213,212,188,193,198,201,205,207,210,211,214,214,217,217,223,247,153,170,211,115,212,223,220,220,221,221,221,219,217,216,191,196,201,205,210,211,214,216,219,220,221,219,229,254,160,171,227,120,205,231,224,224,226,224,223,223,222,220,194,199,204,208,212,216,219,220,221,223,226,220,238,250,160,171,242,130,194,236,226,228,229,228,228,228,226,224,198,201,206,211,215,219,222,225,227,228,228,224,249,255,166,179,243,140,178,242,229,232,233,231,231,232,229,228,201,204,210,214,218,222,226,228,231,233,230,193,236,255,163,186,255,151,168,248,232,236,237,236,236,235,233,230,202,207,212,217,221,225,229,230,223,241,255,197,175,206,137,169,255,162,167,251,235,239,239,239,238,237,236,234,206,212,216,219,224,229,231,238,224,200,255,230,144,115,95,147,225,161,163,252,239,243,242,241,240,240,240,237,208,214,220,222,227,233,233,247,255,195,198,231,179,171,135,130,180,156,157,255,243,245,245,245,244,244,243,240,210,215,220,227,230,236,238,235,230,200,155,217,204,222,199,122,123,141,144,254,244,247,246,246,246,245,244,244,214,219,223,228,233,237,240,233,190,195,135,231,205,211,206,133,91,103,139,255,245,248,249,248,249,248,246,246,215,222,227,230,234,239,240,243,233,198,162,167,149,108,207,171,107,76,130,255,249,253,253,253,252,250,248,247,216,222,227,232,236,241,242,255,223,157,113,74,76,58,177,217,142,85,105,255,254,254,255,255,254,253,251,249,219,224,228,234,237,244,246,255,227,179,134,111,109,115,204,255,182,115,95,243,255,254,255,255,255,254,254,253,221,225,230,235,239,244,245,255,247,186,143,132,150,213,255,242,186,142,100,238,255,255,255,255,255,255,255,255,221,227,232,237,241,246,246,255,252,200,157,160,177,253,255,227,167,128,106,251,255,255,255,255,255,255,255,255,221,229,234,237,243,248,246,255,255,223,187,171,184,255,248,207,152,106,114,255,255,255,255,255,255,255,255,255,224,229,236,240,246,248,247,255,255,234,192,185,191,255,239,188,142,103,119,255,255,255,255,255,255,255,255,255,224,230,237,241,246,248,249,251,255,230,209,215,193,255,232,170,128,98,132,255,255,255,255,255,255,255,255,255,223,230,235,240,245,247,250,248,241,232,210,217,184,247,211,160,120,89,149,255,255,255,255,255,255,255,255,255,224,230,236,242,244,247,249,250,245,232,209,212,167,217,184,139,120,86,177,255,255,255,255,255,255,255,255,255,226,231,236,241,244,248,249,249,251,237,200,184,140,189,160,134,122,96,233,255,255,255,255,255,255,255,255,255,226,232,237,241,244,247,251,246,254,239,203,164,149,199,147,145,103,151,255,255,255,255,255,255,255,255,255,255,226,233,238,241,244,247,251,245,255,251,220,189,181,197,135,138,90,224,255,255,255,255,255,255,255,255,255,255
1,142,142,143,143,144,144,145,144,145,144,144,144,143,144,143,141,141,142,140,137,136,136,135,134,133,132,130,128,146,146,146,146,146,147,147,147,147,148,147,147,146,146,145,146,143,133,141,141,140,139,139,136,135,134,132,130,150,149,150,149,150,150,150,151,151,150,149,150,149,148,146,140,153,100,123,154,141,142,141,139,139,136,135,134,153,153,152,152,153,153,153,153,153,153,153,153,152,151,156,106,136,107,92,131,146,145,143,141,140,139,137,136,156,154,155,155,156,156,156,156,156,156,156,156,155,155,158,94,132,102,56,79,129,151,145,144,143,142,140,138,158,158,158,157,158,158,158,159,158,158,159,159,159,161,148,86,141,86,78,100,103,157,145,146,146,144,142,140,159,160,160,160,160,160,162,161,160,159,161,156,132,161,138,90,154,87,96,110,91,159,148,149,147,147,145,142,163,163,163,163,164,164,165,164,164,163,162,157,98,143,136,104,149,77,106,117,92,160,151,152,150,148,147,145,165,165,164,166,167,165,165,165,165,164,165,154,91,146,112,120,138,73,128,123,93,161,153,154,152,151,150,147,167,167,168,167,167,167,166,166,167,166,171,143,91,150,100,134,137,86,148,113,92,164,154,155,154,152,152,149,169,169,170,169,170,170,170,170,170,169,171,134,87,160,103,135,142,85,144,110,97,166,156,157,156,155,153,151,170,170,171,171,171,172,172,171,170,171,173,116,89,164,91,124,129,72,147,118,105,169,159,159,158,157,155,153,173,172,172,172,172,172,173,173,173,172,174,115,91,153,72,120,116,72,154,110,103,171,161,160,160,158,157,155,174,174,174,174,174,175,175,174,174,175,168,103,97,139,108,135,135,97,114,99,107,173,163,163,161,159,157,156,175,176,176,176,176,175,176,175,175,175,155,128,131,109,120,122,124,120,102,88,87,168,165,165,164,162,160,159,176,177,177,177,177,177,177,177,176,174,162,138,108,95,100,118,129,110,102,117,79,148,173,165,166,163,161,160,177,178,178,178,178,177,178,178,177,177,159,117,89,95,100,130,134,114,147,146,89,121,179,165,166,164,162,161,178,178,179,179,179,178,180,180,178,172,156,114,86,104,110,136,144,154,123,146,120,100,176,168,168,166,165,163,178,179,180,180,180,180,181,181,179,167,162,126,82,95,124,142,150,162,136,131,120,77,166,171,169,168,166,165,181,181,181,182,181,182,181,183,178,164,167,137,96,86,124,146,152,151,137,121,87,62,168,172,170,169,167,165,182,182,182,182,182,183,183,184,180,159,165,140,107,85,117,159,165,161,131,107,68,91,182,171,172,171,168,167,182,183,183,183,183,183,183,185,182,157,152,139,113,95,127,171,162,152,120,94,56,143,182,171,172,171,170,167,182,182,183,183,183,184,184,185,185,163,153,140,121,105,137,166,154,136,107,75,73,180,175,174,172,172,171,168,180,182,183,182,183,183,183,183,186,169,150,147,133,108,137,157,144,118,92,52,119,187,174,174,172,172,171,169,181,182,183,183,183,183,184,183,185,176,151,150,135,114,127,136,119,97,63,60,173,177,175,174,172,170,169,167,182,182,183,183,183,184,184,183,186,175,155,150,134,117,119,122,98,72,46,145,184,176,176,174,172,171,169,167,182,182,183,184,183,183,184,184,186,164,160,151,144,130,112,106,79,46,135,190,176,178,176,176,174,173,176,167,181,182,183,184,183,183,185,186,180,153,165,155,151,127,108,87,51,82,189,178,180,178,176,175,175,161,136,91
20,148,152,156,158,162,164,166,167,168,170,171,169,168,168,168,165,168,153,163,165,162,162,161,158,157,156,156,155,150,154,158,161,164,166,169,169,171,171,172,172,171,170,169,171,184,114,128,169,165,162,162,160,160,160,158,156,151,155,159,162,165,168,169,171,172,173,174,173,172,172,169,180,184,109,92,143,123,165,163,162,162,161,159,157,154,157,160,163,166,170,171,173,174,175,175,174,174,174,170,184,178,101,97,155,82,152,169,164,164,162,161,160,155,159,163,166,169,171,173,177,177,176,178,178,177,175,171,196,184,105,102,157,85,141,173,166,166,164,163,162,156,161,163,166,170,173,175,178,178,177,178,179,178,178,174,205,178,104,112,157,93,142,176,167,168,166,165,162,158,163,165,169,171,174,177,178,178,179,179,180,180,177,182,197,153,91,141,171,101,135,179,169,169,168,165,164,160,165,168,170,173,175,177,180,179,180,181,181,184,182,193,193,144,75,148,161,94,134,181,170,171,170,168,165,162,166,170,172,174,177,179,182,181,182,184,183,163,148,202,194,136,74,158,154,84,141,181,172,172,171,170,167,163,167,170,173,177,179,180,182,184,186,183,193,158,88,178,172,91,100,182,149,86,151,183,174,173,172,171,169,165,169,172,174,177,180,181,183,186,186,193,206,170,123,127,92,50,120,168,134,80,163,182,175,174,174,172,171,166,170,172,176,179,182,185,185,187,184,157,177,191,158,106,80,63,116,130,100,81,180,179,177,178,176,175,172,168,171,175,179,181,183,186,185,200,195,128,130,197,147,135,127,119,125,93,74,110,192,179,180,179,178,176,173,168,172,177,179,183,185,185,193,216,206,152,134,167,158,153,139,149,136,73,55,147,191,180,180,179,178,176,175,170,174,179,181,184,187,184,206,202,209,152,125,184,168,135,134,136,115,87,49,156,192,182,182,181,178,178,177,171,174,179,182,185,188,187,221,195,183,167,103,151,140,65,69,135,127,108,56,150,195,183,184,182,180,180,178,172,177,180,184,187,187,196,215,175,167,168,82,54,58,35,34,131,164,122,73,94,195,185,185,183,182,180,178,174,178,181,185,188,190,194,225,209,188,153,123,78,35,77,152,164,173,139,92,53,160,193,185,185,184,181,180,174,178,183,186,188,190,197,227,216,185,146,163,97,66,174,206,185,155,134,95,62,147,197,185,186,185,183,179,175,180,184,186,189,191,198,227,219,177,142,129,81,134,210,185,161,148,102,93,64,172,193,187,187,186,184,181,176,181,186,187,190,192,198,225,213,176,172,117,135,216,196,160,134,147,98,69,80,197,189,189,188,187,184,183,178,182,186,189,193,194,198,221,211,186,178,125,175,214,182,160,141,137,115,48,119,205,190,191,190,188,186,184,178,182,186,191,193,195,198,212,207,188,178,131,166,191,168,155,131,118,97,49,175,198,191,192,190,188,187,184,178,183,187,191,191,197,201,211,206,191,170,133,131,157,146,129,108,102,54,110,207,192,194,193,191,189,187,185,177,182,186,188,200,176,73,159,202,186,138,105,107,120,138,118,94,60,60,192,199,195,194,193,192,190,188,186,177,180,183,193,186,82,40,55,139,154,117,110,118,121,143,110,76,45,159,204,193,195,194,193,191,188,187,184,177,181,188,191,91,43,57,46,54,115,133,126,120,121,130,95,47,126,211,195,196,195,194,192,191,189,187,185,178,181,195,113,50,60,45,50,44,51,95,106,110,107,96,67,69,197,201,198,197,195,194,193,192,190,188,186
8,128,130,133,133,135,135,137,137,137,136,136,136,135,135,135,134,134,133,133,131,130,129,129,128,128,126,124,122,129,132,135,136,137,138,138,137,138,138,138,138,137,137,137,137,136,135,135,133,132,131,130,130,130,128,126,125,132,135,136,137,138,139,141,140,140,140,141,140,138,140,138,138,138,137,136,135,134,133,133,132,131,129,127,126,135,136,138,141,142,141,141,142,142,142,142,142,139,133,141,138,138,138,138,137,136,135,134,134,134,131,128,128,136,139,140,141,143,143,143,143,145,144,139,152,154,87,130,144,141,139,139,139,137,136,136,135,133,132,131,129,139,141,143,142,143,145,145,146,146,145,140,167,141,58,119,148,141,142,141,141,138,138,136,136,135,133,133,132,141,142,144,144,145,146,147,148,147,147,144,172,113,52,131,148,143,144,143,141,139,139,137,136,137,135,135,133,142,144,146,147,147,149,149,149,149,148,150,173,100,55,144,149,146,145,144,142,141,141,140,139,138,138,136,135,145,145,147,149,149,149,150,151,152,148,159,176,98,69,148,148,147,144,145,144,143,142,142,140,139,138,136,136,146,147,149,150,151,151,153,153,154,148,166,161,77,75,152,148,149,148,146,144,144,143,142,141,140,139,137,137,147,150,150,152,153,153,153,155,155,149,172,158,77,86,157,149,148,145,151,146,144,145,144,143,141,141,139,139,150,152,152,155,157,157,157,158,158,151,181,157,105,104,151,150,163,100,110,158,150,149,144,143,144,143,141,139,150,153,154,156,158,158,159,159,159,156,182,149,119,114,160,171,166,106,60,94,97,135,153,150,144,145,143,141,151,154,156,157,158,158,159,160,160,159,178,156,136,125,176,172,166,141,95,40,41,56,136,125,151,145,145,144,154,156,158,159,160,161,161,164,159,171,190,150,135,143,167,150,159,160,118,107,72,31,68,39,86,155,142,144,156,158,160,162,162,163,163,165,160,183,172,133,126,121,164,135,87,149,139,136,93,35,37,39,18,133,150,144,157,159,162,164,164,164,165,160,170,180,135,101,113,102,150,117,54,62,142,125,89,33,7,30,14,98,159,144,160,162,164,165,166,165,166,164,192,181,145,106,84,73,143,139,99,14,158,139,97,41,4,22,23,131,155,146,160,164,165,166,167,169,164,180,201,172,136,104,86,58,135,145,79,21,137,155,98,44,15,7,80,161,150,150,160,163,167,167,169,169,166,196,196,163,125,99,89,46,54,108,82,71,139,162,100,46,8,64,157,154,153,151,163,164,166,167,170,168,175,202,179,144,132,113,89,57,134,166,156,152,141,144,96,35,53,164,157,156,156,153,164,165,167,169,170,171,189,198,168,154,136,97,79,145,191,176,147,156,126,107,87,40,60,172,156,159,157,155,165,166,169,169,177,148,187,197,166,163,124,87,139,186,174,157,125,141,114,78,81,35,91,171,157,158,158,156,166,167,171,172,178,62,95,202,171,162,109,134,179,184,163,145,120,126,113,57,57,33,158,165,160,159,159,158,166,169,169,183,102,38,30,90,163,151,115,141,168,171,156,142,108,110,100,53,16,96,177,162,163,162,159,157,167,169,180,145,43,38,39,27,51,98,102,132,149,158,146,128,101,105,72,25,28,166,167,165,165,163,161,159,168,174,165,59,39,36,31,41,9,0,30,48,78,111,119,107,99,79,37,6,129,177,166,167,166,164,163,160,168,172,88,35,39,33,30,30,33,0,0,4,0,8,28,43,44,28,2,91,181,167,168,168,166,165,162,159
2,129,129,129,130,131,131,131,130,130,130,130,130,130,130,130,129,129,129,129,128,127,125,125,126,122,46,15,34,132,133,134,132,132,132,132,133,133,133,133,134,132,132,132,132,129,134,131,132,127,128,129,132,113,30,28,38,136,137,138,136,136,137,137,137,137,138,138,137,133,139,145,115,67,103,118,104,137,133,131,132,126,50,37,33,139,139,140,138,138,139,139,139,141,139,137,140,147,144,108,71,44,50,73,48,91,128,134,132,136,76,36,40,142,141,142,141,141,141,141,143,142,142,154,162,128,78,53,43,37,38,47,38,30,100,142,132,142,92,32,30,145,144,144,144,144,145,145,146,142,152,166,144,73,34,38,35,30,25,35,37,27,98,145,135,141,113,38,15,146,147,148,146,147,147,148,148,144,169,146,79,44,26,29,33,27,23,26,33,66,136,140,138,138,139,43,0,150,149,150,150,150,149,150,148,155,178,107,44,36,29,23,28,33,44,85,117,144,144,142,140,140,141,80,65,151,151,152,152,152,151,152,146,169,164,91,51,37,44,33,34,45,114,156,149,146,146,144,143,143,145,113,98,151,153,155,155,155,155,153,156,175,138,74,37,34,40,33,56,131,153,147,148,149,149,146,145,144,154,78,108,154,155,156,156,156,156,151,169,171,123,73,41,36,32,38,92,167,150,152,151,150,150,150,149,146,152,92,137,156,158,159,158,157,157,156,182,163,115,74,57,47,37,35,113,163,156,156,153,152,151,151,150,148,148,134,119,157,158,160,161,160,156,167,191,150,102,66,54,52,49,43,147,161,157,157,156,156,154,154,152,150,150,153,127,159,159,160,162,162,155,178,185,140,91,57,49,45,49,64,162,160,159,157,157,157,157,156,154,153,154,150,146,160,161,161,161,159,156,190,173,133,90,58,46,45,46,72,165,159,159,157,157,157,157,156,156,155,155,152,146,161,162,162,164,157,172,189,160,122,81,58,49,52,41,90,173,160,160,160,159,159,158,159,159,158,160,159,153,163,163,163,165,159,188,181,148,111,74,57,47,45,35,78,173,161,162,162,162,163,164,157,148,141,134,142,160,165,165,167,159,162,192,174,141,103,69,53,42,39,50,42,109,176,163,167,166,150,137,128,125,120,110,83,113,165,166,170,156,175,188,166,131,94,68,50,32,42,53,54,49,139,165,150,130,123,123,134,128,107,90,77,98,167,169,164,161,189,183,157,117,84,66,43,28,50,54,60,67,67,90,104,122,137,129,109,78,86,132,154,160,169,171,158,176,188,175,148,110,81,63,35,38,64,68,79,80,79,86,109,128,117,87,60,92,161,166,164,162,172,166,163,190,185,169,136,104,77,62,37,49,74,81,86,83,84,89,99,84,75,97,130,165,166,162,162,161,168,162,185,187,177,160,130,97,68,59,43,61,79,87,89,84,75,68,62,91,145,171,172,167,166,164,164,163,157,174,188,181,173,157,123,88,63,58,51,74,85,87,81,71,56,63,121,173,173,169,168,168,168,167,167,166,167,179,180,173,160,134,100,74,63,55,58,76,80,82,67,54,104,156,177,170,170,172,171,169,169,168,168,168,175,177,172,154,134,109,85,66,62,56,64,70,75,68,52,119,181,176,171,171,172,173,173,172,171,170,169,168,172,171,156,133,116,100,77,64,60,62,63,62,60,70,135,181,173,174,175,174,174,174,174,174,172,171,169,168,170,162,143,111,102,81,61,64,65,64,62,56,104,167,182,175,177,177,176,176,176,175,175,174,173,172,171,170
3,81,72,14,54,83,99,109,122,131,136,141,146,149,152,155,158,160,163,166,166,169,172,173,175,177,178,177,178,89,66,15,61,88,102,113,125,133,139,145,149,151,153,156,159,163,162,163,171,171,174,175,177,178,179,180,181,96,61,17,67,91,104,116,128,134,140,147,150,152,155,159,161,165,174,121,163,175,175,177,178,178,180,182,181,98,49,21,71,93,105,117,128,136,142,147,151,153,155,160,163,169,191,112,144,180,175,178,179,181,182,183,183,99,38,29,74,95,106,118,130,137,143,147,151,154,158,161,164,172,188,108,144,181,177,180,182,182,183,184,184,98,30,38,78,96,108,121,132,138,146,150,153,156,160,164,165,177,192,109,150,181,177,181,182,183,184,185,185,96,23,44,80,98,109,123,134,140,147,152,156,161,159,159,160,188,179,106,153,185,181,183,184,185,186,187,187,91,19,53,83,101,111,126,136,142,149,150,154,154,193,176,133,178,152,98,156,187,183,185,185,186,187,187,188,84,18,60,86,103,114,127,137,144,147,171,179,142,163,202,151,120,140,96,167,186,185,187,187,187,189,191,190,74,19,65,88,103,116,129,139,145,143,179,216,188,125,159,164,125,153,104,179,184,186,187,189,190,191,192,192,63,21,70,92,105,118,132,138,148,194,175,136,177,147,116,193,167,145,96,174,189,185,189,191,191,192,193,194,51,26,74,93,108,120,133,137,158,208,192,138,112,162,112,116,133,152,99,124,191,188,191,191,193,193,194,195,40,33,78,95,110,122,135,136,169,178,128,162,142,143,149,72,102,170,161,111,149,198,191,193,194,195,196,196,30,40,80,98,111,122,137,135,178,171,94,114,116,106,117,112,106,152,181,117,143,201,192,195,194,196,197,196,20,48,82,99,112,124,138,137,181,172,145,117,86,102,118,134,113,158,182,109,163,201,194,196,196,198,198,198,15,54,84,99,112,125,136,137,193,186,142,106,92,115,141,142,126,183,189,109,178,198,195,197,198,198,199,199,14,60,86,102,113,125,136,140,192,173,123,101,105,127,153,156,175,202,175,107,183,197,196,197,199,200,200,200,17,64,86,102,114,125,139,139,189,180,138,113,107,135,162,185,209,189,157,104,185,197,198,199,200,200,200,201,22,66,90,105,115,128,139,139,187,188,148,120,114,133,175,212,209,172,128,113,198,198,199,200,200,200,201,202,27,69,91,106,116,128,139,139,184,198,165,126,122,138,196,211,201,171,105,121,204,196,200,200,200,201,201,201,31,72,91,105,116,129,139,140,175,197,166,140,132,144,204,209,191,164,97,135,206,197,200,200,200,201,202,202,36,75,92,104,116,128,138,143,162,185,171,160,146,149,198,199,177,154,91,160,205,197,200,200,201,202,202,202,41,77,94,106,117,129,137,145,152,178,180,167,160,145,179,180,161,134,96,185,200,198,201,201,202,203,202,202,46,78,95,106,117,130,137,145,151,183,186,171,154,137,156,161,152,125,115,202,197,200,201,202,202,203,203,202,49,79,95,106,117,130,138,146,150,197,192,166,148,134,149,146,152,108,157,204,196,200,201,202,203,203,203,203,53,80,95,106,118,130,138,146,154,208,192,170,153,140,157,145,134,103,188,197,198,200,201,202,202,203,203,203,58,82,96,107,118,130,138,145,157,206,201,185,151,155,167,136,103,119,199,194,198,199,202,202,202,205,204,204,62,83,97,108,118,130,137,145,158,207,211,187,149,164,157,128,89,135,202,195,198,200,201,202,203,205,206,205
1,210,212,214,215,216,216,215,215,215,213,212,211,212,210,210,213,211,206,203,204,201,199,195,194,192,190,187,185,212,212,215,216,216,216,216,215,215,213,212,213,211,214,213,179,193,209,202,202,201,199,195,195,192,191,188,186,212,212,214,217,217,218,218,218,217,216,214,217,210,169,191,151,139,218,207,203,201,199,197,196,193,191,190,188,213,215,216,217,217,219,218,218,218,217,216,217,216,141,142,168,108,140,165,211,202,201,199,197,194,192,191,190,216,218,219,219,220,221,221,222,220,219,218,218,211,132,145,168,86,119,116,203,207,202,200,199,195,193,192,190,218,220,220,222,222,223,223,223,223,220,218,224,203,117,156,154,84,143,110,188,211,202,202,200,199,196,194,193,220,221,222,225,226,226,225,225,225,225,177,189,199,115,173,156,92,151,102,177,216,205,204,202,200,199,196,193,222,224,226,227,226,227,227,227,225,229,162,146,203,121,173,149,93,159,110,175,218,207,208,205,202,200,198,195,225,227,227,227,228,228,229,229,229,227,142,152,179,112,174,127,104,174,113,167,221,209,209,207,204,202,201,200,227,228,229,230,232,231,231,230,233,220,124,164,159,113,179,125,128,178,100,168,224,211,211,209,206,203,201,200,227,228,229,232,232,233,234,232,235,221,126,165,176,120,182,141,126,173,102,177,226,214,213,212,209,206,203,200,229,230,231,232,233,234,235,233,239,211,111,165,188,117,174,140,115,178,119,173,227,215,214,212,210,207,205,202,228,231,234,234,235,236,237,234,242,212,117,160,176,97,151,109,112,184,112,170,232,215,217,214,212,209,207,203,230,234,236,236,236,238,239,235,243,220,122,138,173,126,149,160,158,140,113,149,220,219,217,215,214,210,208,206,232,234,236,238,238,239,239,237,245,207,144,163,159,164,158,165,167,123,124,104,147,230,216,216,214,211,210,208,234,235,237,238,240,242,242,242,245,218,191,157,129,139,143,153,150,136,115,120,118,215,220,216,214,211,210,208,234,236,238,239,241,243,244,243,250,222,173,130,121,124,148,162,138,127,151,171,118,180,230,216,216,211,210,207,236,237,238,241,242,242,244,246,252,217,166,123,124,131,159,168,173,182,166,182,145,143,230,218,218,213,210,208,238,237,240,242,243,244,245,246,247,221,173,125,125,139,165,180,191,212,174,168,163,116,217,223,217,216,212,209,238,239,242,243,243,245,246,247,242,222,184,138,113,143,167,186,190,193,188,156,131,90,208,224,217,216,213,210,239,240,241,244,245,245,246,247,240,226,196,154,121,126,169,200,202,195,171,143,111,98,224,222,218,215,214,212,237,238,241,244,245,246,247,248,239,219,194,158,131,126,176,212,203,187,163,137,92,147,238,221,219,217,216,212,238,241,243,245,246,247,248,250,237,215,195,166,138,141,187,209,194,177,152,128,84,201,233,223,221,218,216,212,239,242,244,246,246,247,249,250,244,219,197,179,156,152,196,203,194,170,142,102,113,237,225,225,221,220,218,215,240,242,244,247,248,248,251,252,250,224,201,186,167,151,184,188,175,153,127,72,184,240,226,226,224,221,218,216,241,243,244,247,249,250,251,252,252,237,210,192,173,149,166,171,149,129,79,123,241,232,229,227,225,222,219,217,241,243,245,246,245,248,251,253,251,241,214,182,170,160,158,154,128,85,116,238,237,232,229,227,224,221,220,216,240,244,245,246,246,250,253,254,244,237,216,187,189,165,149,137,98,83,223,244,233,234,229,227,225,221,219,217
5,152,153,157,161,160,160,161,162,163,162,165,163,164,164,165,163,170,155,164,162,161,160,158,157,156,154,153,152,154,157,160,162,162,162,165,159,183,170,125,171,166,166,167,163,199,115,155,168,165,162,160,160,159,157,155,154,156,159,162,165,164,167,168,163,179,206,103,165,171,168,166,175,211,98,149,173,166,165,163,162,161,160,159,158,159,161,163,167,166,166,171,168,173,220,114,154,176,172,164,202,185,93,168,171,168,168,167,165,163,162,162,159,161,165,166,167,172,194,133,167,175,232,140,145,181,171,174,219,144,106,182,169,171,171,169,169,168,165,163,161,164,167,168,171,166,213,129,142,179,236,171,137,184,167,201,213,117,137,182,173,175,171,170,171,170,168,166,165,167,168,170,174,165,211,166,118,188,229,163,129,182,177,208,173,96,164,180,176,176,174,173,172,170,168,167,168,169,170,173,176,168,206,209,122,181,217,150,115,184,186,187,109,112,187,177,178,177,177,175,175,173,170,169,169,170,172,175,177,172,189,237,146,163,218,174,119,178,178,167,84,155,187,180,180,179,177,177,176,175,174,172,172,172,173,176,178,177,183,237,181,130,216,173,131,142,154,153,100,178,185,181,182,183,179,178,177,176,177,175,174,173,175,177,179,181,180,228,230,149,181,166,146,95,126,128,116,186,185,184,184,184,182,181,181,179,177,175,174,175,176,179,181,183,180,205,237,224,160,133,147,89,97,100,139,193,186,187,182,181,180,179,178,178,178,179,178,176,178,182,183,183,184,186,229,237,211,124,117,98,90,79,154,193,181,189,197,203,205,205,196,181,180,165,167,178,181,183,184,186,188,184,206,237,232,182,104,88,89,81,110,161,177,171,148,161,179,162,165,181,164,109,144,180,182,184,186,187,189,190,188,229,237,196,123,90,87,83,93,117,143,117,80,107,123,122,140,150,148,109,173,182,185,186,187,189,191,193,188,215,237,194,123,92,82,81,94,89,80,92,154,192,188,192,189,188,159,124,185,183,185,187,189,191,193,195,190,213,237,195,129,96,80,84,82,80,146,189,200,192,195,184,184,170,120,173,188,184,187,189,191,192,195,196,191,222,237,196,137,100,84,79,56,168,214,196,193,197,184,168,188,121,145,198,183,184,189,192,192,192,194,196,193,228,237,189,134,99,82,72,71,132,167,195,197,176,168,173,164,93,167,194,188,186,189,193,194,193,194,196,199,235,232,180,134,94,72,70,84,79,98,124,139,148,168,169,117,126,194,194,183,187,190,192,193,194,197,194,206,237,226,177,128,89,67,69,75,87,113,114,126,154,146,118,147,197,199,149,95,185,189,192,193,194,197,193,214,237,220,168,118,94,71,76,83,109,130,124,120,129,105,158,200,197,180,87,85,188,190,193,194,196,198,195,224,237,207,153,126,105,74,83,107,125,130,128,102,95,172,204,190,203,156,80,83,189,191,193,196,198,198,198,233,237,193,149,139,112,75,86,115,127,127,114,105,183,206,194,207,163,78,67,53,189,192,195,199,201,198,207,237,233,191,159,142,111,77,84,115,116,115,94,178,211,198,205,193,100,65,61,43,190,193,195,198,198,195,221,237,228,200,170,134,100,69,75,100,103,84,150,212,200,209,158,95,72,60,44,32,194,196,199,200,204,203,233,237,224,200,149,92,63,42,49,62,79,142,210,206,209,144,83,75,65,56,45,28,173,177,182,185,159,181,237,231,205,168,97,44,32,21,30,12,103,222,204,207,136,69,71,63,53,50,53,38
6,142,144,147,148,150,153,154,156,158,160,161,162,163,163,164,166,166,166,165,165,166,166,167,168,168,168,168,167,144,146,147,148,150,153,155,157,159,160,161,161,163,163,165,167,166,166,167,167,166,167,167,167,168,168,168,167,145,145,147,149,151,154,155,156,158,159,161,162,164,164,164,165,165,164,166,167,165,167,166,166,168,168,168,167,145,146,147,150,153,155,155,159,160,160,162,163,165,167,167,166,168,169,168,168,167,166,169,167,168,172,169,167,146,148,150,153,154,155,157,160,161,162,164,165,166,165,162,153,139,143,153,147,145,142,126,153,160,155,170,169,147,149,151,155,155,157,159,160,162,162,163,166,166,165,162,146,121,125,138,140,133,129,116,127,145,119,169,169,148,148,150,154,156,157,160,160,161,163,170,174,171,167,153,132,120,108,106,110,104,105,104,102,104,134,174,170,149,151,152,154,156,158,161,165,165,170,167,158,148,132,112,95,93,105,108,113,127,135,141,148,158,174,171,171,150,152,154,156,156,161,170,159,149,145,145,140,138,131,120,102,112,143,158,177,177,180,180,178,176,173,173,172,153,154,154,157,155,182,179,144,126,126,131,136,144,145,142,136,129,122,108,165,178,175,175,174,175,175,175,174,153,154,155,158,157,194,169,140,140,132,128,122,123,127,127,122,115,113,84,150,184,175,178,177,177,177,176,176,153,154,158,160,159,194,162,155,164,144,130,131,129,135,138,131,115,106,95,165,182,178,179,179,178,178,178,177,154,154,158,159,165,194,180,190,176,144,125,126,127,130,131,128,124,120,103,136,189,179,180,179,180,180,179,178,154,155,159,158,171,195,191,188,173,159,149,131,113,102,111,116,111,106,99,82,151,187,180,181,180,181,181,180,155,156,161,158,179,195,189,184,183,181,166,140,124,119,129,125,110,99,98,69,104,191,181,182,181,182,182,181,156,158,161,157,186,197,192,191,192,179,166,150,131,123,128,123,116,106,110,79,129,191,181,182,182,183,184,182,156,158,160,160,191,196,191,192,189,179,167,144,131,130,126,125,119,114,101,120,183,183,183,182,182,184,184,183,157,159,160,163,196,192,191,190,188,174,151,140,133,131,119,115,118,115,97,166,189,182,184,183,183,184,184,183,159,160,161,167,199,191,190,188,182,152,144,144,134,116,106,72,95,103,108,184,184,184,185,186,186,186,185,183,159,161,159,172,195,188,188,185,170,141,137,143,132,99,70,57,79,91,149,190,182,184,185,186,186,186,185,183,160,161,158,178,190,184,185,176,153,134,142,139,118,103,72,80,114,149,187,186,187,186,186,187,186,186,186,185,160,162,160,184,186,178,179,166,147,135,148,137,116,100,79,102,191,189,185,186,187,187,188,187,187,187,187,186,161,164,161,185,182,180,173,158,144,148,155,132,115,99,79,127,196,184,187,187,189,188,188,188,187,188,187,186,161,163,158,180,182,172,159,155,142,153,147,124,109,95,87,169,192,188,188,189,189,189,188,188,189,189,187,186,161,164,160,174,175,168,158,145,142,154,136,118,106,86,132,194,186,190,189,190,190,189,190,189,189,188,186,187,162,164,155,180,180,166,158,138,145,148,129,116,94,111,189,190,189,191,191,190,190,190,190,189,189,188,188,187,162,158,157,184,174,162,153,140,146,139,120,109,87,159,197,190,192,192,192,190,189,191,191,189,189,189,189,188,164,156,160,177,167,149,142,142,138,129,112,100,91,175,192,191,192,192,193,192,192,193,191,191,189,189,189,189
1,40,61,67,75,85,103,115,124,130,134,137,139,142,147,150,152,152,155,158,159,160,161,161,163,164,164,165,165,45,61,68,76,87,106,117,125,131,135,139,141,144,148,150,161,138,126,158,160,161,163,164,165,165,165,165,165,51,62,70,78,89,108,118,126,132,136,140,143,147,151,152,170,126,98,140,141,163,164,165,166,166,166,166,166,55,64,71,79,92,110,119,127,133,138,141,143,148,156,140,165,124,110,133,110,162,166,167,168,168,168,167,167,58,64,72,80,94,112,122,129,134,139,143,145,151,163,123,157,121,120,142,104,156,167,168,169,169,169,169,169,59,66,72,81,96,114,124,130,136,140,144,145,159,158,120,161,124,124,144,101,152,170,170,170,171,171,171,170,62,68,73,83,98,116,124,132,137,141,146,146,163,149,114,157,121,125,149,105,150,172,172,172,172,173,172,172,63,68,75,85,101,117,126,133,138,142,156,141,149,139,116,159,121,124,145,103,149,174,174,174,174,174,174,174,63,68,76,86,103,117,127,134,139,145,164,120,144,129,133,164,117,128,153,103,148,175,174,175,175,175,176,175,65,70,77,87,106,118,127,135,139,154,159,107,146,120,149,159,110,141,164,106,149,176,176,176,177,177,178,178,65,70,78,89,108,119,128,136,139,167,146,108,155,118,139,138,96,146,155,104,153,178,178,178,179,179,179,179,66,71,80,91,109,120,129,137,143,175,132,104,147,104,128,125,96,154,148,99,157,179,179,179,180,180,180,180,67,73,81,92,111,121,130,136,150,177,125,98,138,132,132,139,149,160,142,97,161,180,181,181,180,181,181,181,69,74,82,94,113,122,131,136,163,173,124,114,147,165,138,144,152,148,130,95,163,181,182,182,182,182,182,182,69,74,83,96,114,124,132,137,175,176,157,149,164,167,161,152,138,129,113,92,163,182,182,183,184,184,184,184,69,75,83,97,115,125,132,144,185,164,150,147,142,137,172,175,161,136,108,90,163,182,183,184,185,185,185,185,71,77,84,99,116,125,132,161,185,147,125,117,104,108,165,171,163,146,117,89,163,183,183,185,185,186,186,186,71,77,85,101,118,126,132,173,179,143,133,136,130,159,182,173,152,132,106,78,149,186,186,186,186,187,188,187,71,78,86,103,119,126,133,178,184,155,137,141,164,201,190,165,142,110,90,71,123,188,187,187,188,188,188,188,71,78,86,104,118,127,135,177,194,168,147,144,172,209,193,161,134,101,79,69,111,187,187,188,189,189,189,189,73,79,87,105,118,127,135,171,195,169,153,147,168,201,186,158,126,99,76,68,131,189,188,190,189,189,190,190,74,81,89,107,119,129,136,163,191,169,159,150,158,188,177,149,118,95,76,82,167,191,190,190,191,191,192,192,74,80,90,108,120,129,137,155,187,174,168,159,168,182,160,133,108,89,73,117,188,191,191,192,193,193,193,193,74,81,90,109,120,129,138,147,175,173,166,156,166,169,144,120,101,84,75,153,191,192,192,193,194,194,194,194,75,81,91,110,121,131,138,144,164,169,163,151,145,147,134,114,101,82,84,173,192,193,194,195,195,195,195,195,74,79,89,108,119,130,138,142,155,166,161,150,142,142,137,122,101,77,98,182,190,191,193,194,195,195,194,194,73,78,89,108,117,127,137,143,157,170,167,159,151,141,137,124,97,74,117,188,189,190,192,193,194,194,194,194,72,77,89,107,117,128,137,144,179,172,165,167,153,138,122,112,92,68,120,189,188,190,192,194,194,194,195,195
4,114,117,119,120,124,125,127,131,133,135,139,138,138,142,142,142,144,145,142,144,144,145,146,145,143,143,143,143,118,120,122,124,127,129,131,133,134,136,141,141,142,142,142,152,138,138,148,145,145,146,147,146,146,145,145,145,121,124,126,128,131,132,133,136,137,138,139,147,135,155,194,182,118,70,137,150,149,151,148,149,148,148,147,147,124,126,128,131,133,135,136,141,145,147,174,173,113,87,144,163,106,54,60,94,92,137,155,150,151,151,149,148,126,129,132,134,137,138,145,141,114,174,195,177,123,62,38,137,101,52,31,80,59,66,160,151,154,153,152,151,129,131,134,138,139,140,189,173,112,118,121,177,127,79,22,85,125,80,33,97,97,56,153,155,155,154,153,154,132,134,137,141,136,171,178,170,166,137,74,129,154,101,0,88,159,110,71,88,110,81,142,162,156,157,156,157,135,139,141,141,146,190,159,116,120,96,41,61,159,93,9,130,154,103,64,56,73,69,99,169,158,159,159,159,137,141,145,145,148,196,182,142,122,114,104,53,100,69,36,92,116,86,69,70,65,61,74,142,168,159,159,159,139,143,146,149,146,182,180,162,137,113,104,73,63,84,77,88,114,95,95,76,47,84,88,85,170,162,163,161,141,146,147,152,149,176,180,154,125,97,77,67,73,94,97,114,125,115,106,79,82,123,117,71,127,174,163,164,143,148,150,155,151,183,184,155,130,96,74,66,77,87,105,122,139,143,162,178,164,146,127,105,74,162,168,166,146,149,152,157,153,185,193,163,135,101,76,72,79,92,116,151,143,172,182,173,162,142,111,85,49,120,179,166,147,153,155,158,155,180,197,167,146,117,82,72,75,94,134,152,145,171,167,159,145,125,100,76,52,75,177,170,148,154,156,161,159,181,200,173,155,127,95,78,80,96,142,155,164,173,175,159,137,119,98,73,57,62,171,174,151,156,159,163,161,183,203,180,163,135,107,91,91,93,134,163,175,176,171,161,135,112,87,69,48,82,183,174,153,158,160,164,162,179,202,186,171,142,115,109,104,97,130,166,177,175,173,161,129,100,76,65,43,136,188,176,155,159,162,166,166,175,197,192,182,152,127,121,115,105,138,161,175,177,174,154,122,91,73,57,57,178,181,180,156,160,164,166,167,172,191,195,188,163,139,130,122,110,145,161,165,177,165,140,111,87,73,43,100,193,179,182,159,164,166,168,173,169,184,195,189,168,150,138,126,116,138,167,165,165,148,122,100,81,70,43,154,190,182,184,163,167,167,170,174,173,173,190,182,169,151,140,130,115,114,156,161,146,129,106,90,79,59,69,191,184,186,185,165,167,170,173,175,178,166,185,186,172,150,141,134,115,99,142,159,143,120,96,77,81,43,133,196,183,186,186,167,170,173,175,177,183,167,185,193,175,152,141,136,120,100,132,150,134,110,84,73,48,88,194,186,188,187,187,170,172,174,177,180,184,170,189,192,167,143,137,137,116,98,124,137,121,89,76,47,82,186,191,188,188,187,190,170,173,177,180,181,184,176,192,187,158,139,142,139,122,101,114,119,106,76,57,61,182,194,188,190,197,201,189,171,175,178,179,182,187,170,189,194,161,151,154,146,135,106,101,101,96,72,40,141,199,187,197,198,168,114,69,174,177,180,181,183,190,173,189,200,167,163,172,149,137,105,89,89,93,58,57,184,189,201,162,82,36,22,19,176,178,180,183,184,193,137,185,205,184,183,181,150,137,104,86,90,95,46,89,199,196,142,47,30,12,14,9
4,217,219,220,221,221,222,223,223,225,225,225,225,226,225,225,226,226,225,225,224,224,225,225,225,225,225,223,222,218,220,221,221,222,224,225,225,226,226,226,226,226,227,227,226,227,226,225,226,225,225,225,226,226,226,225,224,219,221,222,222,222,225,226,226,227,227,226,227,227,228,227,226,226,229,227,226,227,227,227,227,227,227,226,226,221,221,224,225,225,227,227,227,228,228,228,226,225,226,227,232,230,229,228,230,230,230,228,229,229,229,228,227,222,223,225,225,226,227,228,228,229,227,226,231,252,255,233,231,255,250,210,214,230,228,234,231,231,231,229,227,223,225,225,226,227,228,228,230,227,235,248,248,230,255,241,182,217,241,201,162,227,221,207,233,231,230,229,229,226,226,227,227,227,229,231,228,238,255,255,236,173,209,226,169,175,220,171,174,255,219,159,213,236,230,231,231,226,227,228,230,230,230,232,227,255,255,255,234,169,188,236,163,142,228,183,229,255,210,152,212,239,233,234,233,227,228,229,232,232,231,233,228,255,252,239,250,208,162,236,173,161,233,242,255,249,236,169,217,240,234,235,233,228,230,231,233,233,232,234,228,255,252,227,226,192,121,182,246,236,238,248,236,239,254,209,202,242,233,234,235,229,231,232,234,234,233,233,236,255,255,236,205,172,139,131,213,212,216,224,202,247,255,246,192,229,240,236,237,229,232,233,235,236,236,232,244,255,253,217,192,183,168,159,161,161,183,181,163,255,255,255,214,195,245,236,236,232,233,233,235,235,239,234,249,255,255,222,189,168,164,171,176,159,185,162,191,255,255,255,226,177,233,240,237,233,234,235,236,237,239,234,254,255,255,225,192,174,167,175,185,191,214,224,255,255,255,236,210,172,212,247,239,234,234,235,237,239,239,235,255,255,255,234,205,179,170,180,199,203,231,255,255,255,249,222,192,167,213,246,238,235,237,238,239,239,241,236,255,255,255,243,219,184,171,179,199,225,255,255,255,255,241,211,181,166,231,243,239,235,238,239,239,240,241,237,255,255,255,250,224,199,184,183,209,254,255,255,255,250,228,199,169,179,246,241,242,236,237,239,239,241,242,237,255,255,255,255,232,220,197,202,226,255,255,255,255,240,214,187,160,202,252,241,243,238,238,239,240,242,243,238,254,255,255,255,239,231,219,211,229,252,255,255,247,227,201,174,158,230,250,243,244,238,239,240,240,241,242,242,251,255,255,255,248,238,228,212,213,243,255,246,234,216,187,164,173,249,245,245,244,239,240,241,244,246,247,244,243,255,255,255,250,239,222,215,211,230,255,230,215,203,178,151,207,255,245,246,245,240,241,243,232,216,202,188,178,179,178,166,158,153,156,163,171,193,216,215,209,193,167,153,243,251,248,248,247,240,245,206,186,176,171,166,163,154,145,135,125,118,115,102,98,111,118,129,150,172,147,186,255,247,249,247,246,241,246,189,175,178,173,169,166,154,147,135,126,124,117,104,104,109,105,95,91,102,120,238,255,248,248,248,247,240,250,206,170,174,170,167,162,147,138,132,123,121,112,106,106,110,102,97,96,94,84,153,255,249,249,250,249,242,251,221,172,173,167,167,157,147,135,130,123,119,112,106,106,107,100,94,92,93,95,73,211,255,248,252,251,243,249,229,177,171,170,167,157,144,136,128,121,117,113,106,106,104,98,92,90,92,90,95,235,255,250,251,251,243,249,235,174,169,173,161,152,142,135,126,119,114,111,107,105,102,96,91,89,96,76,173,255,249,252,252,252
22,146,155,159,163,172,178,183,187,191,194,196,198,202,203,202,203,203,203,201,200,201,200,198,197,195,193,192,191,148,156,161,165,173,179,185,188,193,195,197,204,204,205,205,206,203,206,209,204,203,203,201,199,196,196,195,194,150,159,164,168,175,181,188,192,193,216,182,158,211,205,208,206,210,188,180,210,204,204,202,204,204,198,196,195,151,162,166,169,176,184,189,194,193,238,187,116,210,208,210,207,222,172,111,208,207,205,208,185,181,204,199,197,153,162,166,171,179,185,191,196,195,242,199,116,208,211,211,213,217,156,109,215,208,209,213,150,112,206,201,199,155,164,168,173,181,186,193,199,195,240,212,122,203,216,213,215,209,138,135,223,206,216,209,138,123,213,202,202,155,165,168,174,183,190,196,200,196,245,232,133,190,221,213,207,200,121,165,222,214,223,187,104,173,216,204,203,156,166,170,176,184,192,197,202,198,243,228,132,177,226,213,200,182,105,188,219,229,223,157,117,214,209,206,205,158,168,172,177,185,194,199,205,200,241,226,133,158,229,212,212,187,101,204,224,222,190,127,165,221,209,209,208,160,170,173,179,188,195,200,205,204,234,247,168,146,228,210,213,164,114,231,245,219,148,109,211,214,213,210,209,162,171,174,180,189,196,201,206,209,222,247,172,127,224,189,190,113,138,255,244,209,118,149,228,213,214,213,212,163,171,174,182,191,199,205,208,211,214,246,158,88,176,171,189,174,213,242,219,175,99,206,223,217,215,214,212,165,172,177,183,191,199,205,208,222,189,192,145,114,183,197,197,227,227,220,189,110,137,231,218,219,217,214,214,166,173,177,184,191,200,206,213,233,188,164,149,160,162,177,206,212,212,208,146,98,213,225,220,220,219,216,214,167,176,177,185,195,205,204,226,241,203,213,197,185,121,89,170,192,205,172,107,147,240,222,223,222,221,218,217,168,177,179,187,196,204,206,233,255,213,195,200,186,161,122,84,134,148,118,90,177,240,224,223,223,222,220,219,169,177,180,188,197,204,205,247,246,201,132,123,177,190,169,123,79,90,97,84,209,236,229,226,226,224,221,220,169,176,180,189,199,205,209,253,247,201,131,75,122,199,186,160,120,90,79,83,223,234,231,228,228,225,222,221,170,178,181,190,198,206,209,255,255,206,215,108,148,237,203,168,146,119,69,61,212,238,231,229,228,227,224,222,171,178,182,191,199,208,211,255,255,206,195,115,203,255,215,174,153,121,66,53,210,241,230,229,228,227,227,224,172,178,181,190,199,208,209,255,255,207,180,190,250,222,211,168,137,108,59,74,232,235,230,230,230,230,227,224,170,178,181,189,199,208,206,248,255,227,187,219,255,202,188,190,130,100,49,116,248,229,230,229,229,229,228,224,171,178,180,191,200,209,209,240,255,238,189,225,252,203,184,184,144,87,43,158,249,230,231,229,229,230,228,224,172,178,181,191,201,210,211,233,252,241,193,206,238,198,178,168,125,74,47,200,244,234,234,231,230,230,228,226,170,178,181,190,200,208,215,210,251,232,194,174,203,170,147,133,91,52,81,239,234,233,232,229,228,227,226,225,172,180,183,193,204,213,220,78,171,231,150,138,156,154,128,99,77,53,173,255,242,243,241,238,236,236,235,233,145,150,151,155,158,167,138,52,55,138,144,152,158,172,147,100,76,67,163,172,169,168,169,170,169,169,169,169,119,119,118,120,120,111,65,58,58,50,121,154,153,163,144,92,53,40,105,106,103,103,101,101,99,99,87,68
10,55,89,76,17,40,64,70,75,82,91,106,113,120,127,131,135,136,138,140,144,147,150,150,152,155,156,157,158,61,92,70,15,45,66,71,77,83,92,107,115,121,127,131,135,137,139,142,145,148,150,152,153,155,157,158,159,72,95,62,15,50,66,72,77,84,95,108,116,124,129,133,135,143,139,132,146,149,151,153,154,157,158,160,162,84,96,54,17,54,67,73,78,85,98,111,117,125,131,135,136,157,139,109,145,150,151,154,156,157,158,161,163,92,97,45,22,58,68,74,80,86,100,112,119,126,132,135,137,162,146,105,142,152,153,156,157,159,161,163,163,95,97,37,27,61,69,75,81,88,102,113,121,127,132,136,138,160,150,102,134,153,155,157,159,160,162,164,164,99,97,29,31,62,69,75,81,89,104,115,122,128,133,137,140,156,156,112,121,156,156,158,160,163,163,165,166,103,93,23,37,64,70,76,83,91,107,118,122,129,134,139,141,150,158,119,104,155,157,159,161,164,165,166,167,107,88,19,42,66,71,76,83,93,128,117,98,125,135,138,142,147,156,127,94,145,159,160,162,165,166,167,168,110,81,17,47,67,72,87,89,97,138,113,83,103,136,140,143,146,165,141,91,128,160,161,163,165,167,168,170,113,72,18,52,66,88,132,93,85,124,126,93,82,129,141,144,146,178,155,99,111,160,161,164,166,167,169,171,114,61,19,56,68,86,113,80,67,96,138,113,79,109,143,145,147,175,149,105,98,159,162,165,167,169,170,172,113,51,21,60,69,75,86,82,71,83,137,117,84,77,115,141,150,163,142,109,90,154,164,165,169,171,171,173,113,41,26,64,70,76,82,88,88,87,136,122,87,68,71,104,141,144,136,115,86,147,166,167,170,172,173,174,111,34,32,67,72,77,83,90,101,113,154,142,104,75,63,66,95,112,125,114,87,140,167,168,170,172,174,175,106,26,37,68,72,77,84,90,108,140,171,156,123,85,65,53,68,86,108,108,83,130,168,169,171,173,174,175,99,21,41,69,73,78,83,95,156,168,166,163,138,104,76,64,68,86,97,98,77,116,169,170,172,174,175,175,91,19,47,71,74,79,83,109,180,176,166,165,151,124,89,71,70,80,90,88,72,113,170,170,172,175,176,176,80,18,52,72,74,79,84,107,181,172,167,171,154,129,90,70,65,72,83,78,69,134,171,171,173,175,176,178,68,18,56,72,75,80,85,97,150,131,170,174,149,122,87,71,66,74,83,75,88,160,171,173,174,175,177,178,55,18,60,73,76,81,86,93,122,115,184,165,140,120,93,77,70,75,79,73,122,169,171,173,174,175,177,178,42,22,64,73,76,81,87,94,148,165,187,165,136,116,97,81,74,74,75,80,152,170,172,173,175,176,178,179,31,25,66,73,75,81,87,102,177,186,185,158,135,106,96,84,77,71,69,107,166,171,173,174,175,176,179,180,23,31,68,73,75,81,86,113,190,187,176,148,130,99,91,86,79,69,74,145,169,171,174,175,176,178,180,181,16,34,70,73,76,81,86,113,191,187,166,137,120,95,86,84,79,66,101,164,170,172,173,175,176,178,180,181,11,38,71,74,77,82,86,115,192,180,161,131,115,94,84,80,74,64,130,168,170,171,172,175,177,179,180,181,11,44,72,74,77,83,87,117,181,169,163,139,123,100,82,74,65,70,146,168,170,171,173,175,178,180,181,182,12,47,72,74,77,83,89,109,159,163,168,156,134,104,80,68,59,80,157,167,170,173,174,176,178,180,181,182
4,186,186,187,187,187,187,187,187,187,186,187,188,187,186,187,185,184,182,182,181,181,180,178,177,175,174,174,172,188,188,190,190,190,190,190,190,190,189,189,189,191,190,188,187,187,187,186,184,183,181,180,179,178,177,176,174,193,193,193,193,193,193,193,193,193,193,192,190,187,192,192,183,155,145,182,189,187,186,183,182,182,180,179,178,195,195,194,195,195,194,194,194,194,194,193,177,151,152,189,186,152,112,131,182,151,158,186,185,183,182,181,180,198,197,197,198,198,197,197,197,197,196,200,201,175,142,131,178,170,132,92,147,137,98,145,192,184,185,183,182,199,198,199,200,200,200,199,200,198,192,188,190,197,170,124,122,178,150,93,122,144,101,90,190,187,187,186,184,201,201,201,201,201,202,202,203,194,181,176,134,152,168,108,86,175,147,94,102,149,117,76,187,190,188,187,185,203,203,204,204,204,203,203,203,197,191,181,130,105,147,100,77,151,116,70,122,153,125,88,193,193,191,190,189,204,204,205,204,205,206,205,205,188,146,171,144,99,127,129,78,117,100,59,129,124,86,107,202,195,194,193,191,206,205,207,207,207,206,206,206,200,144,129,168,133,111,156,90,95,120,119,123,83,48,133,204,197,196,195,193,207,207,206,207,208,207,206,208,190,125,97,159,135,154,161,138,142,140,167,136,73,50,174,201,198,198,196,195,208,208,208,209,208,208,208,209,191,165,155,125,76,168,158,148,157,145,156,126,83,73,199,202,200,200,198,196,209,209,209,209,210,210,209,209,203,184,145,101,68,100,133,124,126,121,116,115,100,74,170,208,202,200,199,197,210,210,210,210,211,210,209,208,204,174,129,90,77,78,97,110,110,104,94,126,117,91,94,204,203,201,201,200,211,211,211,211,211,212,210,207,196,154,114,86,83,102,110,142,152,148,127,135,136,122,75,149,211,202,202,201,213,213,214,213,213,213,211,204,197,166,128,94,95,105,133,174,176,190,176,151,176,147,92,89,208,204,203,202,214,215,214,215,214,214,213,202,197,169,131,92,92,115,152,187,190,202,205,184,166,146,89,82,207,206,205,203,215,215,215,215,215,215,214,196,196,180,140,102,99,119,157,195,200,206,197,178,155,116,70,119,214,207,205,204,215,215,215,215,216,216,215,191,195,189,148,117,107,115,168,202,210,207,187,165,142,98,60,175,213,208,206,205,216,215,216,217,217,217,218,191,188,190,159,126,110,120,177,208,209,199,177,153,131,82,82,211,210,208,207,206,216,216,217,218,217,217,219,195,174,179,159,129,112,126,187,205,197,187,165,138,114,67,138,218,210,209,208,207,215,216,216,217,217,217,219,210,171,179,166,133,125,131,191,196,186,174,150,122,93,65,195,217,212,210,208,208,214,215,215,216,216,216,216,218,184,179,171,148,145,128,186,185,181,159,133,106,68,110,219,213,212,210,208,208,215,215,216,216,216,216,216,220,200,175,173,161,145,120,166,173,170,144,111,84,60,186,215,210,209,209,208,207,216,215,216,217,217,217,217,219,209,180,170,155,138,120,144,153,141,114,85,54,128,220,213,212,211,210,209,207,216,216,217,217,217,217,218,220,211,188,173,154,135,123,132,141,118,88,62,70,206,217,214,213,211,210,209,208,216,218,217,218,217,217,219,221,200,189,175,157,143,135,130,135,119,82,52,137,224,216,216,214,211,210,209,209,216,216,217,217,217,217,219,217,185,188,178,170,165,150,137,128,111,75,59,184,220,216,214,214,212,211,210,201
3,158,160,161,161,161,161,162,161,162,161,161,162,161,160,158,157,156,149,157,153,153,152,151,150,147,146,144,143,162,163,164,164,163,164,164,165,164,164,165,165,163,163,161,161,165,114,139,161,156,154,154,153,150,149,147,146,164,166,166,167,167,167,168,168,167,167,169,169,168,166,165,165,159,98,113,169,157,158,157,156,154,152,150,148,168,169,170,169,170,171,171,172,172,171,170,170,170,170,168,168,157,96,98,169,162,161,160,158,157,155,153,151,172,172,172,173,175,174,175,175,175,174,174,173,173,172,171,171,157,93,91,172,164,164,163,162,160,158,156,154,175,175,176,175,176,178,177,177,177,177,176,176,176,175,174,173,156,98,88,171,167,166,165,164,163,161,158,156,177,178,179,179,179,179,179,180,180,180,180,179,179,178,176,177,165,105,83,171,171,168,167,165,165,163,161,159,179,180,181,181,181,182,182,182,182,182,182,182,181,180,179,178,161,93,83,175,172,171,169,168,168,166,164,162,181,183,184,183,183,184,183,183,183,182,183,184,183,183,182,177,152,107,90,167,176,173,172,170,170,168,166,164,183,183,183,185,185,186,186,185,186,186,186,186,185,185,184,179,163,131,86,153,182,174,174,173,171,170,168,165,183,185,185,186,186,187,188,188,188,188,188,188,187,186,186,180,167,129,75,142,186,175,175,175,173,171,170,167,186,186,187,187,187,188,189,189,188,188,189,189,188,189,187,184,176,130,78,118,191,175,177,177,175,173,171,169,188,187,188,189,188,188,190,191,190,189,190,191,192,186,171,160,154,152,110,135,171,187,178,177,176,174,172,170,189,189,188,189,190,190,191,192,192,191,193,192,185,178,170,127,90,137,147,172,110,158,187,179,178,176,174,171,189,189,190,191,192,192,192,192,193,194,188,172,130,141,172,127,86,99,150,149,87,64,134,187,178,177,176,173,191,191,192,192,193,194,194,193,195,188,178,165,122,96,140,150,108,83,127,134,94,68,71,176,183,178,177,175,191,192,192,193,194,194,193,195,193,181,168,146,142,124,108,157,119,76,80,104,106,75,66,165,187,179,178,176,192,193,193,194,195,195,195,195,190,173,144,109,128,130,93,126,130,80,70,88,121,87,60,156,189,180,179,177,191,193,193,193,195,196,197,198,193,172,157,107,78,112,63,90,125,69,73,86,126,116,61,136,192,180,181,178,191,192,193,194,195,196,197,197,199,176,149,126,99,81,63,86,93,56,81,122,140,129,67,138,194,181,182,179,192,193,193,194,194,195,196,196,200,176,158,154,122,89,88,106,97,88,146,154,139,100,83,182,185,182,180,177,193,194,194,194,196,197,197,197,200,182,153,153,132,106,98,119,158,164,172,141,115,70,133,195,179,180,182,184,191,192,193,194,195,196,196,196,200,190,150,151,136,112,101,107,164,162,148,122,88,69,172,191,190,190,172,140,198,198,198,199,199,200,200,201,201,203,158,133,129,112,105,103,147,148,131,102,63,118,199,173,152,122,80,61,160,164,168,171,176,179,183,185,187,192,179,129,127,121,118,100,122,132,112,74,81,145,106,77,59,53,53,57,100,102,103,103,104,107,107,108,108,107,118,148,127,125,112,91,92,92,71,60,81,71,53,50,55,50,50,47,108,108,109,110,108,108,113,111,112,108,126,169,151,127,101,87,86,85,65,65,67,60,62,46,50,45,43,43,108,109,109,110,109,109,116,113,116,112,140,157,155,134,114,104,94,84,63,64,61,57,53,52,40,41,38,42
7,166,169,170,171,172,173,175,175,175,175,175,175,175,175,175,174,174,173,174,172,172,171,170,170,169,168,167,166,168,170,172,172,174,174,176,176,176,177,177,176,176,176,176,175,175,174,173,174,174,172,171,170,170,169,169,168,169,171,172,173,176,176,177,177,179,179,179,178,177,178,178,177,176,176,175,175,174,173,172,171,170,170,170,169,171,172,174,175,176,177,180,179,179,179,179,179,180,179,178,177,177,177,176,175,175,175,173,172,172,171,171,170,172,174,176,177,178,179,181,181,181,181,180,180,181,180,180,179,179,177,177,176,175,175,174,174,173,172,172,171,173,175,178,178,180,182,182,183,183,182,182,181,180,181,181,180,180,179,178,177,176,176,175,175,174,173,173,171,175,177,179,179,182,184,185,188,187,185,186,186,187,187,186,185,184,184,183,183,182,178,178,176,176,175,174,172,175,177,180,181,182,181,170,164,172,176,170,162,164,164,169,169,166,164,168,159,159,173,176,177,177,176,174,174,177,179,182,182,181,168,143,123,125,136,145,138,131,122,135,149,149,136,147,125,145,178,155,177,179,177,175,175,178,180,179,177,170,161,154,144,121,107,123,129,131,120,124,139,138,134,132,128,136,157,142,177,181,179,176,176,177,174,167,162,164,168,168,151,109,96,109,119,112,93,102,99,103,111,106,104,110,114,148,181,169,177,178,176,169,166,165,166,159,151,161,136,91,100,110,125,124,113,98,108,135,149,141,126,137,137,165,199,141,164,183,178,168,165,162,157,148,144,147,141,108,87,92,107,113,123,118,107,136,152,144,135,134,131,124,137,136,179,182,180,167,160,154,151,151,149,149,151,129,88,67,67,77,96,101,98,110,108,111,105,110,120,132,151,181,185,181,181,161,155,151,149,148,147,148,141,117,88,68,77,136,117,114,121,132,143,152,163,180,188,190,191,186,184,183,182,156,149,144,143,137,137,134,128,109,82,74,67,163,206,191,195,199,199,197,194,191,188,187,187,186,186,184,183,151,147,143,142,142,140,138,135,119,83,72,71,90,200,194,195,193,192,191,190,190,189,189,187,186,187,185,183,151,149,144,145,141,141,144,144,122,84,75,75,73,188,199,194,195,194,193,192,191,191,191,188,188,187,186,185,156,157,153,144,138,130,133,132,112,90,84,79,64,159,205,195,194,194,194,193,193,192,191,190,189,188,186,186,157,157,154,143,137,127,122,116,100,93,93,85,69,93,205,197,197,196,195,194,193,192,192,191,190,189,187,186,151,148,139,127,121,114,107,102,93,90,95,84,62,113,206,197,197,197,195,194,193,193,192,192,191,189,188,187,138,135,120,104,93,90,94,76,74,83,85,104,151,186,200,197,196,196,195,194,193,193,192,192,191,189,188,186,103,113,105,88,105,143,183,157,127,134,163,194,207,200,199,198,198,197,195,194,194,193,192,192,191,191,187,187,44,55,49,116,202,201,201,205,206,205,206,202,198,199,200,199,199,198,197,196,196,194,193,192,191,191,189,188,29,28,33,179,202,195,198,198,198,199,199,200,201,200,199,199,199,198,198,197,195,194,193,193,192,191,189,187,37,24,104,204,194,197,198,199,201,202,201,201,202,200,199,199,199,198,198,197,194,193,193,192,192,193,192,193,43,32,182,201,197,200,200,202,203,203,204,204,203,202,202,201,201,201,200,200,198,197,198,198,192,187,179,167,46,38,172,186,183,185,186,187,187,187,186,186,186,186,185,183,182,182,182,181,179,178,168,136,102,89,74,61
11,139,142,144,147,149,151,153,154,155,156,155,155,155,155,155,156,155,154,154,152,152,150,150,148,146,144,143,142,141,143,146,149,150,153,154,156,156,156,156,157,156,158,158,156,155,155,154,154,153,151,150,149,149,146,145,146,143,146,148,150,152,155,156,158,159,158,159,158,163,138,150,160,156,156,155,155,153,153,152,151,150,147,149,128,145,148,150,153,155,157,158,160,161,161,162,155,182,131,119,167,157,159,158,156,155,156,154,152,151,150,150,75,148,152,153,155,158,160,161,162,163,163,164,157,191,139,105,169,159,161,161,159,158,157,155,154,152,158,120,50,150,154,155,158,161,162,162,164,166,166,166,160,199,130,103,172,162,163,161,161,160,160,157,155,154,160,89,54,152,155,157,161,163,165,166,167,169,171,164,171,218,120,115,174,164,165,164,163,161,160,160,158,159,155,75,59,155,159,162,163,165,167,168,167,170,162,177,167,195,118,128,178,166,168,167,165,165,163,162,162,161,161,98,69,156,160,163,165,167,170,166,189,180,109,161,139,97,138,104,158,174,169,169,168,167,165,165,164,161,168,120,70,159,161,164,167,171,167,188,211,188,148,95,121,87,107,91,133,181,170,171,170,169,166,168,167,165,169,142,68,160,164,167,170,169,183,222,172,177,176,108,97,93,117,99,138,181,172,173,172,171,171,170,168,168,167,166,88,162,166,169,169,176,215,196,135,131,172,106,89,87,119,100,142,184,174,175,174,174,174,171,170,170,167,170,129,164,167,170,167,201,215,163,128,145,157,78,94,87,111,96,152,185,178,178,177,176,175,173,173,171,169,171,149,165,168,173,169,213,205,149,105,126,130,74,96,83,107,88,169,184,180,179,179,178,176,174,173,173,171,174,142,167,170,174,170,215,208,166,122,82,85,97,79,90,104,98,186,181,182,180,179,181,179,178,178,175,173,174,163,168,171,174,175,224,207,158,111,77,63,108,72,114,109,76,172,190,183,185,185,179,171,166,165,175,180,174,173,169,172,174,181,231,204,157,117,87,70,81,67,114,101,60,97,179,181,168,147,136,129,125,114,106,151,180,172,171,176,174,187,230,200,160,127,96,80,82,83,100,101,99,97,105,119,121,135,141,126,104,101,84,121,184,174,172,177,176,187,226,197,160,130,102,84,87,121,144,144,133,124,108,114,130,126,107,94,120,161,170,174,179,176,174,178,178,190,225,199,167,136,108,88,97,141,141,132,126,123,109,100,95,104,139,162,187,189,185,182,179,178,175,179,179,195,223,203,176,139,118,98,110,136,135,127,114,110,89,83,132,184,193,191,186,184,184,182,180,178,176,182,176,208,226,204,174,137,120,103,110,122,126,118,102,85,107,169,198,192,187,187,187,186,185,183,181,180,179,179,182,225,217,191,158,126,110,103,111,110,115,109,82,132,195,197,191,192,190,190,188,187,187,186,183,181,179,179,216,225,205,180,147,121,106,107,110,102,96,88,143,203,194,192,193,193,192,191,189,188,187,186,185,182,175,191,229,215,192,173,143,124,111,106,104,86,115,176,203,196,195,194,194,193,192,191,190,190,187,186,185,183,174,203,227,210,170,144,136,123,108,100,81,108,197,204,197,198,197,196,195,195,193,192,192,191,189,188,187,184,178,214,225,202,151,124,119,113,99,87,91,184,203,197,200,199,197,197,195,195,195,193,192,191,191,189,186,185,191,222,221,190,131,118,113,104,91,79,157,209,201,202,201,200,198,198,197,196,195,194,193,192,190,189,188,186
2,210,210,209,209,209,210,209,209,207,206,207,207,206,204,203,202,201,199,201,199,197,196,196,197,194,192,190,189,211,211,212,212,211,211,211,211,211,209,209,209,209,208,206,206,204,201,203,201,200,198,197,197,195,193,191,192,212,213,213,213,213,212,212,212,212,212,210,211,211,209,208,201,198,202,202,205,206,204,200,197,197,194,194,193,213,214,216,215,214,214,215,213,214,214,213,214,209,216,216,197,187,187,181,177,183,194,208,200,199,197,196,196,215,217,217,217,217,217,218,217,217,216,214,211,226,233,215,205,199,187,179,158,147,120,143,210,201,199,199,196,217,219,217,216,218,219,218,217,217,217,214,226,239,231,226,225,224,199,184,182,144,138,99,164,205,203,198,197,219,220,219,218,220,219,219,220,219,215,223,236,235,240,160,136,173,128,120,184,175,162,135,113,123,181,202,198,221,221,221,221,221,221,221,222,220,217,233,238,219,191,119,69,77,75,74,113,141,122,87,86,77,174,208,198,223,224,223,224,225,225,223,221,224,236,251,193,128,104,85,73,69,78,192,178,188,163,117,98,140,208,203,202,226,227,226,225,225,227,224,227,247,255,235,171,117,84,61,63,65,140,226,217,218,219,213,203,210,206,204,204,226,228,228,227,227,228,224,242,255,248,208,160,125,99,80,61,126,215,214,215,214,211,212,214,209,208,205,205,229,229,229,229,229,220,238,255,248,211,156,120,105,88,70,132,230,217,219,218,214,214,212,213,213,208,206,204,231,232,231,232,222,237,255,255,231,207,147,82,76,82,74,199,225,218,219,218,218,216,214,214,212,209,208,205,232,232,233,224,238,255,255,237,212,207,146,99,80,66,125,232,220,221,222,220,220,219,217,213,214,212,209,207,233,237,228,238,255,255,243,225,226,177,125,95,71,56,203,232,224,222,223,222,220,219,217,216,216,215,209,208,238,235,232,255,255,255,233,237,208,154,123,80,70,58,177,241,223,224,225,223,223,220,224,219,204,207,217,209,238,232,255,255,255,249,232,220,184,147,107,60,66,68,84,213,230,226,225,223,223,226,201,172,167,146,185,217,232,253,255,255,255,238,223,209,177,125,84,61,70,73,65,127,242,223,230,232,230,178,146,169,178,113,160,221,244,255,255,255,242,232,213,195,155,104,76,77,87,88,84,81,199,243,217,173,133,133,162,171,117,151,218,211,255,255,255,250,232,214,199,178,129,99,80,94,105,106,101,85,94,153,114,115,105,133,160,112,125,228,216,215,157,248,255,238,226,203,189,159,126,99,88,108,111,110,101,96,85,96,100,125,135,131,120,67,202,223,218,218,71,101,187,207,197,191,173,158,121,87,92,114,108,107,102,96,93,109,118,123,127,103,66,117,230,219,220,218,82,72,71,128,152,139,131,108,82,80,87,104,101,101,96,95,100,107,110,99,88,110,167,220,226,223,221,220,70,77,71,66,80,84,74,59,67,74,74,89,96,93,80,79,72,72,94,141,191,229,238,229,228,226,223,222,71,69,67,74,68,41,49,57,53,54,60,70,63,57,85,109,120,165,221,242,241,235,230,228,228,225,224,221,69,64,66,62,75,47,18,34,33,32,51,67,97,160,222,243,246,247,240,235,234,233,231,231,229,226,225,223,67,64,62,58,73,66,14,21,28,17,72,218,254,254,248,243,240,238,238,238,237,237,235,232,230,228,227,224,62,58,57,54,64,67,16,16,21,20,13,63,227,248,242,245,244,243,242,241,240,237,237,234,231,230,228,225
6,170,171,170,170,170,170,171,170,171,169,168,167,166,166,165,166,164,164,163,161,159,158,159,157,155,155,152,150,172,173,173,172,172,173,172,172,173,170,170,169,168,169,168,166,165,166,164,163,161,160,160,159,158,155,154,153,175,175,176,175,175,174,174,175,173,172,172,172,172,170,169,167,167,167,166,164,163,162,161,160,158,157,156,154,176,177,178,177,176,176,176,175,175,176,175,174,172,171,170,169,170,168,166,165,165,163,162,160,158,157,157,154,178,179,179,178,179,179,178,178,176,176,176,176,176,174,173,173,172,169,168,167,166,165,164,161,160,159,158,157,178,181,183,181,182,182,181,180,179,178,176,177,177,174,174,175,173,171,169,169,168,166,165,164,162,160,158,158,180,182,184,185,185,184,183,183,182,179,178,177,178,176,177,176,175,173,172,171,171,168,168,169,165,162,159,159,183,185,185,185,185,185,184,184,185,187,186,185,180,181,181,182,180,176,173,170,167,163,152,147,160,161,163,159,184,187,187,186,187,185,187,185,178,165,159,165,166,152,140,134,125,139,141,139,128,131,104,121,178,143,146,163,186,188,189,190,189,190,178,158,147,124,108,100,102,135,123,107,94,106,135,138,123,122,113,113,152,102,141,168,187,190,195,192,178,162,131,126,136,132,132,104,37,83,113,110,70,94,97,92,80,57,60,71,93,130,166,164,192,189,175,157,142,133,125,119,125,136,127,67,22,4,25,29,31,52,65,84,90,115,133,147,164,172,168,165,172,157,143,135,127,121,118,107,114,123,110,61,15,3,10,49,93,139,172,177,182,186,183,180,176,170,169,167,160,154,143,130,123,123,121,115,115,119,122,99,34,0,90,194,189,193,185,183,180,178,178,176,175,173,170,168,172,155,142,132,126,124,124,116,116,119,123,96,34,0,28,191,187,185,184,183,182,182,182,177,175,175,173,171,156,146,142,133,125,125,122,125,118,120,118,102,37,11,0,135,201,186,187,186,184,183,181,179,176,176,175,172,145,142,139,130,128,126,126,126,128,132,129,114,51,10,0,69,204,186,188,186,185,184,182,181,178,176,174,173,158,131,127,132,140,134,126,118,111,113,116,91,44,11,2,8,189,194,188,187,186,185,184,182,180,177,176,175,149,123,124,137,142,142,123,117,108,105,95,67,42,20,0,52,198,192,190,189,189,187,186,184,182,179,177,177,119,108,127,134,131,128,118,105,95,105,91,50,43,32,0,163,204,191,190,190,191,190,187,185,183,182,178,176,65,87,107,125,116,104,92,80,69,67,50,38,36,41,0,170,199,192,192,191,189,188,187,185,182,180,179,175,0,23,58,95,91,74,62,53,43,16,0,18,47,46,0,148,204,191,192,190,189,188,186,184,181,179,178,175,0,0,0,3,34,38,19,13,14,4,2,34,42,24,14,176,198,193,193,191,190,188,186,185,183,180,178,176,0,0,0,0,0,0,47,85,58,19,17,45,63,132,177,198,194,195,192,192,191,190,187,186,186,182,178,177,0,0,0,0,0,93,222,211,199,155,130,147,189,207,203,197,195,195,192,192,191,190,188,186,185,182,179,176,0,0,0,0,0,205,207,201,206,212,213,210,203,197,198,198,196,195,194,192,190,188,188,187,188,192,194,191,0,0,0,0,117,220,200,204,205,203,200,200,201,201,200,198,197,195,195,198,199,200,194,188,178,138,101,103,0,0,0,24,223,201,205,203,204,203,202,202,200,199,200,198,197,198,195,163,119,100,78,51,23,0,0,0
1,155,157,159,159,161,162,162,163,165,164,164,165,165,163,165,168,164,166,166,165,164,165,165,165,165,165,164,164,157,159,161,161,163,164,165,165,166,166,165,167,168,171,155,143,168,166,167,167,166,166,166,166,168,166,165,165,160,162,163,165,165,166,165,166,167,168,167,169,160,174,165,99,168,173,167,167,167,167,168,168,169,168,167,166,162,163,164,166,166,167,167,167,169,171,168,184,151,138,173,97,145,156,169,170,170,171,171,170,171,170,169,169,163,164,166,168,168,170,170,170,171,172,168,187,148,134,174,101,120,123,135,179,170,172,172,172,173,172,171,170,164,166,167,169,170,170,172,172,172,173,172,187,151,136,184,123,119,144,105,179,172,173,173,173,173,173,172,172,166,168,169,170,172,172,173,173,174,174,157,188,163,126,186,139,114,152,102,165,178,175,175,175,174,174,174,173,167,169,171,172,172,173,175,175,175,182,126,160,180,118,175,147,120,167,120,145,181,175,177,177,177,176,175,175,168,171,172,173,174,175,176,176,178,185,119,153,180,117,162,156,126,180,144,124,184,177,178,178,178,178,177,176,169,171,173,173,176,177,178,177,180,190,124,155,179,121,166,167,124,162,167,116,172,182,180,179,178,178,178,177,172,173,174,176,177,177,180,178,183,190,126,163,195,134,154,180,123,145,180,122,151,189,180,180,181,180,180,180,172,173,175,176,177,179,181,179,184,183,124,157,195,130,127,177,118,145,189,135,131,190,180,182,182,182,181,180,173,175,177,178,179,180,181,180,187,181,142,127,187,108,118,171,118,130,186,148,118,186,183,183,183,183,182,181,173,175,177,178,179,180,182,180,191,184,136,104,177,160,147,141,158,166,146,134,113,176,187,184,184,183,183,182,174,176,178,180,181,181,183,181,192,176,136,139,138,187,150,152,179,155,132,138,106,154,192,183,185,185,185,183,176,177,178,180,182,181,182,183,189,175,169,165,118,161,167,190,181,165,131,128,114,117,194,185,187,187,185,184,176,178,180,181,182,183,183,184,189,171,160,152,122,159,191,189,167,187,173,137,111,98,183,190,186,187,187,187,175,178,180,182,182,183,183,186,196,167,146,140,162,174,166,151,127,195,199,181,143,89,164,194,186,188,188,187,175,177,178,181,181,182,182,186,203,173,139,141,134,131,124,119,146,182,195,179,158,118,146,198,187,188,188,187,175,177,178,179,181,181,182,186,209,186,138,138,137,137,149,173,199,182,177,168,138,112,132,197,186,188,188,187,176,178,179,180,182,182,182,184,207,200,146,141,156,153,193,202,198,191,174,159,132,89,132,198,186,188,188,187,177,178,180,182,182,183,183,185,205,211,162,149,165,151,189,205,203,194,170,149,125,86,127,198,187,188,188,188,175,177,179,182,182,183,184,184,202,211,174,159,178,150,187,210,208,194,164,140,118,86,141,199,188,189,189,188,176,176,179,181,182,183,184,181,195,208,186,171,187,151,175,211,207,184,158,134,111,89,168,196,190,191,189,189,181,182,183,185,186,187,187,185,189,204,196,182,180,163,158,211,203,177,154,129,102,93,187,192,190,191,189,190,151,155,158,163,165,166,170,172,175,200,205,194,174,165,143,202,195,169,145,121,97,109,200,195,198,198,192,190,97,100,102,102,103,105,108,109,107,188,203,185,168,158,139,180,183,159,134,116,101,109,151,152,153,154,175,195,102,103,104,104,106,105,105,108,95,165,196,174,165,156,142,164,173,155,127,114,106,100,99,98,118,162,179,186
19,79,83,88,93,102,110,116,122,126,129,131,135,138,141,144,146,149,151,152,154,156,158,158,160,161,162,163,164,79,83,88,94,103,110,117,123,127,130,132,135,139,142,145,148,150,152,154,156,157,159,160,162,163,164,165,165,81,85,90,96,104,112,119,125,129,131,134,137,140,144,147,150,152,154,156,158,160,161,162,164,165,166,167,167,82,86,92,98,106,114,121,127,131,133,136,139,143,146,150,153,155,157,158,160,162,164,165,166,167,168,168,168,83,87,93,99,108,116,123,129,132,135,137,141,145,148,152,155,155,158,160,162,164,166,167,167,169,172,173,159,83,88,94,100,109,118,125,130,134,136,139,143,147,151,162,158,142,146,160,164,166,167,169,170,173,182,173,128,83,89,95,101,110,119,127,132,135,138,141,144,148,155,179,167,133,122,152,166,167,170,176,179,180,173,140,112,84,89,95,102,111,120,128,134,137,139,142,146,149,154,178,176,145,134,159,173,170,171,179,177,160,134,122,141,85,90,96,104,113,121,128,134,138,143,149,145,147,154,169,177,168,166,169,168,160,151,155,145,127,128,151,171,86,91,96,104,115,123,130,135,142,163,169,150,145,151,162,167,162,154,148,146,135,121,126,132,145,165,175,178,87,91,97,105,115,123,131,136,148,178,168,152,151,157,165,166,158,147,138,127,118,112,148,167,176,179,180,180,87,92,97,106,115,124,132,137,156,174,154,146,152,161,165,163,158,148,130,104,96,119,170,180,181,182,182,181,88,93,99,107,117,125,132,139,168,177,158,153,156,156,152,147,142,126,109,91,86,132,177,181,182,183,183,183,89,94,99,108,118,126,133,146,190,190,171,165,163,159,154,147,130,100,87,85,90,146,181,183,184,184,185,185,89,94,100,110,120,128,135,151,192,188,169,154,146,147,149,142,121,92,82,85,99,158,182,184,185,186,187,187,89,94,101,111,120,129,136,149,181,179,157,134,116,111,118,122,115,93,83,87,113,170,183,184,185,186,187,188,90,94,101,112,121,130,137,147,174,176,152,117,94,76,79,104,114,95,86,89,114,172,185,185,186,187,188,189,91,94,102,113,123,131,138,145,172,177,153,115,85,63,81,106,108,89,83,84,102,164,185,186,187,189,190,190,91,95,102,113,123,132,139,143,170,179,155,124,97,74,76,83,79,73,77,83,99,160,187,187,188,189,190,190,91,95,103,114,124,133,140,142,172,181,157,130,105,88,78,69,66,71,78,84,101,162,188,189,190,190,191,190,92,96,104,115,125,134,140,142,171,179,156,130,108,96,90,78,71,74,80,85,108,169,188,190,191,192,192,192,92,97,105,116,126,134,141,142,166,173,152,127,107,97,92,82,75,78,83,88,123,178,189,192,192,193,193,193,92,97,106,117,127,135,141,142,163,168,147,123,105,96,91,84,80,83,87,96,146,187,191,193,193,194,194,194,91,97,107,118,128,136,142,147,167,165,143,119,102,94,92,89,85,86,92,119,171,190,192,193,194,195,195,195,92,97,108,119,128,137,142,150,172,164,140,116,101,95,95,92,88,92,121,162,185,190,192,194,194,195,196,196,93,98,109,120,129,138,142,153,171,160,140,119,103,97,95,92,89,114,164,184,189,191,193,195,195,196,196,196,93,98,109,120,130,138,144,158,167,154,136,119,103,93,89,87,91,139,180,189,191,193,194,196,196,197,197,198,93,98,109,120,130,139,146,167,168,150,130,113,98,87,83,84,95,150,184,189,192,193,195,196,196,197,199,199
5,161,165,168,171,173,176,180,181,181,182,183,184,184,184,185,185,185,185,185,186,185,184,184,183,184,185,185,185,163,167,170,173,176,179,181,183,184,185,186,186,186,186,186,187,187,188,187,188,187,187,187,187,187,187,187,187,165,167,171,175,179,181,183,185,186,187,187,188,188,189,182,177,190,190,190,189,190,191,192,191,190,189,189,189,167,170,174,177,180,183,185,187,188,188,189,191,190,197,169,133,190,193,192,192,193,193,194,194,192,191,191,190,169,173,176,179,183,185,187,189,190,191,192,192,202,195,149,145,192,194,194,194,195,196,196,196,195,194,193,192,171,174,178,181,185,187,190,168,180,193,194,201,214,152,135,186,196,195,195,195,195,190,191,198,198,196,195,194,173,176,180,183,186,188,199,138,154,195,194,219,194,121,174,198,197,197,204,202,192,150,154,201,200,200,199,197,174,177,181,184,187,194,194,118,167,198,199,205,149,140,198,198,200,213,207,174,157,135,172,201,201,201,201,199,174,179,183,186,188,205,165,123,193,199,192,162,119,177,200,196,206,199,153,130,170,188,201,202,202,202,203,202,175,179,184,186,189,210,154,140,199,197,172,136,121,198,191,190,176,133,136,184,204,204,204,205,203,203,203,203,177,180,184,187,190,212,155,144,201,193,167,140,128,197,179,180,124,125,191,205,205,204,204,206,206,205,205,204,178,180,184,188,192,209,161,139,199,190,168,134,135,175,169,161,111,168,206,206,206,205,206,206,206,207,206,205,179,182,186,189,192,202,190,146,176,189,169,114,129,142,158,141,129,196,207,208,208,207,203,204,208,208,207,207,179,183,187,191,193,195,206,178,142,174,151,127,107,117,138,128,157,208,206,204,209,211,190,158,204,209,208,207,178,182,186,189,193,190,201,208,161,140,127,117,106,109,112,126,176,204,202,207,212,194,194,155,176,211,209,208,179,182,186,189,193,193,197,221,193,144,108,98,98,99,103,131,160,190,202,185,162,146,170,178,149,186,210,209,180,184,187,189,192,195,196,217,205,150,102,93,93,93,101,129,145,153,163,132,137,179,187,176,138,166,208,208,181,185,188,190,192,195,196,211,210,152,99,89,90,89,98,115,122,113,130,158,195,194,187,148,147,204,209,209,182,185,188,190,194,196,197,208,214,158,100,86,89,90,94,103,102,120,188,208,200,190,159,123,195,212,210,210,182,186,189,192,194,195,197,205,216,166,107,85,87,92,90,94,87,145,211,207,193,174,120,141,212,210,211,211,158,164,171,175,178,183,184,196,215,174,115,87,86,88,93,110,119,136,181,195,191,148,113,186,215,212,212,213,99,101,104,106,108,114,113,169,221,183,126,89,87,89,94,117,141,153,142,180,187,133,120,171,178,181,184,185,99,98,98,98,98,99,95,167,219,190,138,94,86,93,106,130,151,159,147,165,163,113,99,103,106,107,109,108,99,99,99,105,105,104,100,170,216,194,145,100,89,95,127,151,165,156,129,127,126,107,109,106,109,107,107,107,98,98,99,101,102,104,101,163,213,196,152,112,99,93,136,159,161,138,109,97,101,111,115,109,111,113,135,167,98,98,99,100,101,102,99,162,207,192,155,124,106,90,130,153,148,118,96,97,105,109,108,106,134,176,202,197,98,99,100,100,100,101,100,178,210,189,159,130,106,90,111,131,123,102,95,105,110,108,112,163,211,211,197,183,97,98,99,100,100,100,103,191,211,185,154,119,97,86,97,107,101,95,103,108,112,114,177,222,213,198,185,165
5,151,151,152,152,153,154,154,154,156,158,157,159,159,159,158,163,160,159,158,158,158,158,158,158,156,155,154,157,154,154,155,157,157,158,158,158,158,159,160,160,161,162,167,141,161,161,160,160,159,158,158,159,159,156,163,125,158,159,160,160,160,161,162,162,162,162,163,166,164,166,185,89,149,167,163,163,161,163,162,160,160,164,139,57,161,162,163,164,164,165,166,166,166,166,167,163,162,191,164,89,162,168,166,166,174,130,153,164,162,155,70,47,166,167,167,168,169,168,169,170,171,167,190,129,140,207,118,124,179,168,166,166,151,93,152,167,171,118,44,58,169,171,171,173,173,173,173,173,174,167,204,134,143,189,97,162,175,173,157,152,103,120,173,168,166,84,55,78,173,174,175,176,176,177,177,176,177,172,205,142,147,159,105,182,177,158,149,111,107,175,173,173,163,75,70,75,177,178,178,179,180,180,180,180,180,178,199,138,137,123,131,188,150,139,125,99,173,178,176,175,177,103,74,76,180,181,181,182,183,183,183,184,183,181,209,152,112,100,168,147,114,115,92,160,187,178,179,178,180,119,71,71,183,184,184,185,186,186,186,186,185,185,213,165,110,111,156,110,102,82,150,191,182,182,180,179,184,142,65,53,186,186,187,187,188,188,188,188,188,189,205,156,110,110,114,109,90,125,200,186,186,185,182,182,185,168,64,47,187,188,190,190,190,190,191,190,192,190,196,170,110,95,94,110,90,167,191,181,194,188,185,186,188,176,131,127,189,191,192,193,193,193,193,192,194,192,197,188,130,90,86,94,106,177,131,129,166,194,192,188,185,190,129,165,191,192,194,195,195,195,194,195,196,195,196,197,148,98,91,88,103,113,116,145,146,158,180,192,193,192,127,199,194,195,196,196,197,196,197,198,198,198,200,210,177,122,91,94,90,103,108,127,164,162,159,169,172,166,176,153,197,198,198,198,200,200,200,200,199,199,203,217,195,142,97,89,99,93,83,114,136,138,155,161,140,132,156,124,198,199,199,200,201,201,201,201,202,203,202,222,206,150,103,83,96,83,124,196,186,171,149,146,176,167,116,131,200,201,201,202,202,202,202,204,205,204,203,226,210,157,110,82,80,110,216,202,206,198,165,182,169,123,161,190,201,202,203,204,204,204,204,205,206,204,203,229,209,160,116,84,61,117,189,212,197,155,167,160,107,152,209,196,203,203,204,205,206,206,205,205,206,205,204,231,206,158,117,79,71,93,97,175,148,153,164,110,117,205,201,199,204,205,206,206,206,207,207,206,208,205,212,231,200,157,117,78,76,100,103,104,126,153,123,125,200,204,203,202,205,206,206,207,207,208,208,208,210,200,213,229,197,157,118,83,81,103,108,121,127,122,119,204,207,203,204,202,206,207,208,209,209,210,210,209,211,201,216,225,193,154,116,85,86,111,116,122,110,106,195,212,205,207,205,204,207,208,210,210,211,211,211,212,209,201,221,218,189,151,114,85,85,111,119,117,96,177,217,205,208,207,207,206,207,209,210,211,211,211,212,216,203,207,232,213,183,144,111,89,84,113,122,100,128,221,210,210,211,209,208,207,209,211,211,212,212,212,213,216,197,228,229,206,178,143,109,91,93,118,115,88,183,218,212,214,212,212,209,207,211,212,212,212,214,213,217,204,208,234,218,202,183,141,105,93,98,116,94,137,222,212,214,213,212,212,210,209,211,212,212,213,214,215,214,197,221,219,213,198,165,122,99,90,101,103,119,212,217,216,215,214,213,211,211,209
13,154,155,159,163,167,171,174,176,180,181,182,184,186,186,187,187,185,190,192,189,189,189,188,189,190,190,190,190,155,158,163,165,168,173,175,179,182,183,185,187,188,187,189,187,187,184,181,193,190,191,191,191,192,193,194,193,157,160,165,168,170,174,177,180,183,183,186,190,189,188,192,190,194,166,105,120,200,194,193,192,192,192,194,194,159,163,166,170,173,176,179,181,184,184,188,189,188,191,190,202,214,167,99,57,202,188,198,199,193,195,195,197,161,164,167,172,174,179,182,185,185,186,190,188,196,165,129,153,209,161,96,52,125,108,110,169,205,198,199,198,162,165,168,173,177,180,183,185,188,190,191,200,231,162,109,96,197,150,101,25,105,128,60,70,208,198,201,198,163,167,170,174,178,182,185,187,191,191,189,187,212,194,134,103,186,140,76,52,177,146,68,40,181,206,199,200,165,168,173,176,181,184,187,190,189,191,193,127,88,151,152,88,180,170,58,107,195,131,71,41,185,208,202,205,166,170,175,177,182,185,188,190,191,210,191,135,85,79,149,73,202,188,75,131,184,122,65,47,199,206,205,205,168,172,176,181,185,188,189,190,207,191,193,157,107,62,131,89,101,125,41,129,216,145,51,59,211,207,208,208,169,174,179,182,185,188,190,196,204,149,184,161,105,48,100,118,10,0,33,143,187,114,21,89,220,205,209,210,169,174,179,183,185,189,190,203,204,154,147,153,105,40,75,113,45,0,53,162,136,74,29,148,224,206,209,209,171,174,178,183,187,190,194,210,198,152,124,166,96,49,59,96,51,24,117,161,157,145,99,94,219,211,211,210,172,174,179,183,188,191,192,217,199,160,114,154,92,48,48,121,73,105,208,163,137,119,96,48,172,223,210,212,174,175,179,184,189,191,194,217,194,157,109,132,106,66,52,159,111,163,198,176,139,97,74,49,179,224,210,212,173,176,181,185,190,193,198,217,197,171,142,108,104,89,28,146,173,209,191,162,130,86,62,63,208,216,215,214,174,179,183,186,190,192,200,219,200,175,155,125,87,67,84,199,208,214,186,151,116,80,54,84,223,216,219,218,174,179,182,185,189,192,198,215,199,176,159,153,115,104,124,201,209,205,168,130,99,71,46,142,228,215,218,217,173,177,181,185,189,193,195,205,199,184,167,161,127,105,104,191,213,189,145,111,87,60,72,212,217,216,217,216,173,178,182,186,191,193,196,197,196,187,168,164,139,109,112,183,207,169,133,99,76,43,128,227,213,216,216,216,175,179,182,187,191,194,196,198,200,191,169,161,142,113,118,166,183,146,118,88,68,46,178,219,215,217,217,217,177,180,183,189,191,192,195,199,202,190,166,156,135,104,119,159,144,125,100,77,56,89,219,213,217,217,218,218,177,180,182,188,191,193,196,198,203,176,155,142,111,95,128,142,116,112,84,69,47,171,223,214,218,218,218,219,177,179,183,186,192,195,191,197,203,164,153,129,106,110,135,135,113,101,81,52,113,221,215,217,218,218,219,220,181,186,189,192,197,203,190,210,204,169,161,129,113,129,147,119,107,79,64,62,195,220,214,216,217,217,218,218,132,140,148,156,161,162,173,214,207,178,175,131,123,144,132,103,90,67,39,136,229,219,222,224,227,227,227,225,68,71,74,74,77,65,130,210,185,176,175,135,127,139,124,89,69,55,47,100,126,128,135,135,140,149,152,165,83,84,83,81,84,65,142,207,170,158,153,127,118,136,121,72,63,48,54,75,75,77,76,87,110,128,129,146
12,75,81,92,107,113,120,125,131,133,135,139,141,144,146,149,152,153,154,155,157,158,159,160,161,161,161,161,161,76,81,92,109,115,122,127,132,133,136,138,142,145,147,150,152,155,155,157,158,159,160,161,161,162,162,162,162,77,82,94,108,117,124,129,132,135,139,140,141,147,152,150,155,147,157,159,161,161,161,162,164,164,165,164,164,79,83,97,111,118,124,129,132,136,140,144,156,121,121,160,167,113,103,162,157,161,166,163,167,166,166,166,166,79,85,99,113,119,126,130,135,141,134,174,173,129,95,141,170,127,82,108,123,102,150,171,166,167,167,168,167,80,87,99,113,120,126,131,136,142,136,195,182,147,111,119,172,139,110,76,119,91,94,169,168,168,169,170,170,82,89,104,115,121,127,132,137,140,144,197,201,162,118,114,175,143,117,72,108,112,73,140,176,168,170,172,171,82,90,105,116,122,128,135,139,135,163,171,191,177,122,105,180,143,111,68,104,110,75,149,175,171,172,173,173,84,90,105,116,125,131,133,132,142,170,166,155,161,113,85,158,141,100,65,107,102,80,164,175,173,173,173,173,84,91,107,116,124,129,142,185,196,135,93,101,138,96,70,120,108,83,70,105,93,90,175,174,175,174,174,174,84,93,110,117,125,124,179,219,171,116,93,68,120,96,64,102,96,78,68,94,83,97,179,174,176,175,176,176,85,95,110,118,125,133,191,162,149,122,105,68,103,131,73,97,126,92,77,120,98,106,184,175,177,177,178,177,85,96,112,120,122,147,187,131,136,135,109,81,56,94,55,70,121,89,79,139,119,74,129,185,176,178,178,179,86,97,113,120,121,156,180,136,113,135,107,97,44,28,54,81,88,82,109,116,92,71,81,176,180,179,179,179,86,99,113,120,120,160,197,152,120,107,98,84,39,49,97,137,143,133,133,115,98,92,93,178,181,179,179,179,87,102,115,123,119,167,196,152,133,100,80,73,58,83,136,163,163,153,136,111,103,87,121,187,179,180,180,180,88,103,117,123,121,168,192,162,142,109,92,112,105,139,171,174,169,147,123,108,91,77,155,185,180,181,182,182,89,103,116,124,124,163,183,157,138,112,112,122,115,171,173,172,168,139,115,104,84,98,183,180,182,182,182,183,90,105,116,125,127,151,181,153,134,117,115,106,121,165,163,170,157,128,107,99,79,140,188,180,183,182,183,183,91,107,116,123,130,143,179,149,136,126,119,116,140,158,162,162,141,118,102,89,87,173,183,183,184,184,185,186,93,109,119,125,133,136,170,154,147,145,130,123,146,155,157,142,122,107,96,81,118,187,181,183,185,185,186,185,95,109,117,126,134,133,160,165,148,142,128,116,126,142,142,123,103,96,91,85,164,186,182,183,186,187,187,187,96,111,117,126,134,137,152,174,142,134,121,108,105,118,117,107,93,94,82,126,188,182,184,186,186,186,187,187,96,111,118,126,134,139,146,181,155,132,112,102,107,108,108,102,91,88,91,175,182,183,185,186,187,187,187,188,96,111,118,126,133,138,143,179,170,135,114,113,121,109,108,107,92,73,125,189,181,184,186,187,187,188,188,188,98,111,119,126,135,137,156,191,181,145,133,128,127,109,99,96,87,63,135,190,181,185,186,187,187,188,188,188,99,113,119,128,130,157,182,175,201,152,141,128,121,106,95,86,82,60,138,191,181,185,187,187,188,189,189,189,100,113,120,129,131,190,196,146,184,159,145,126,116,104,85,83,81,61,149,190,182,186,187,188,188,189,189,189
8,188,190,188,190,191,191,191,191,191,192,192,190,192,192,192,192,193,192,191,190,189,189,188,188,187,186,186,185,189,190,190,192,193,192,192,193,192,192,193,192,178,183,195,194,194,194,193,193,192,190,190,190,188,187,187,186,192,192,192,194,194,194,194,194,194,194,192,202,163,147,198,195,196,195,195,194,194,193,193,191,191,189,189,188,193,193,194,195,195,196,195,195,195,195,196,204,144,144,201,197,196,198,196,196,195,195,195,193,192,191,191,190,195,195,196,195,197,197,196,196,197,195,204,200,119,159,201,198,197,199,198,196,196,196,195,194,194,193,191,190,195,196,196,196,198,199,198,199,199,197,211,197,111,172,202,200,199,200,199,198,199,197,196,196,195,194,193,193,196,197,198,199,199,199,199,200,200,197,216,184,113,188,203,201,201,200,200,200,200,199,198,198,196,195,195,195,198,198,199,200,200,199,200,201,201,200,217,161,118,199,200,201,204,201,204,203,199,200,200,200,199,196,196,196,199,199,200,201,201,201,200,200,200,205,213,158,120,210,196,163,182,202,176,188,204,201,202,194,192,198,198,198,200,200,201,201,201,201,202,202,200,211,211,167,129,229,207,162,138,198,150,133,157,162,181,171,129,194,199,198,200,201,201,201,201,201,202,203,200,217,208,167,164,239,217,184,125,178,165,126,113,143,166,165,92,187,202,198,200,201,202,202,202,202,203,203,202,218,203,166,192,238,230,195,122,153,168,127,167,152,177,177,97,186,202,199,200,200,202,202,202,202,203,202,208,207,194,187,193,217,233,194,128,133,158,140,184,151,182,189,130,170,207,200,199,200,201,202,202,202,203,204,213,183,189,195,189,182,231,199,135,108,142,161,173,141,174,192,165,132,204,203,199,200,201,201,202,202,203,204,215,173,166,187,171,174,219,206,137,89,124,169,162,118,158,195,158,103,192,204,200,200,201,201,202,203,202,207,222,170,138,160,154,148,200,204,132,81,114,169,153,104,171,179,126,121,204,202,200,201,202,202,202,203,202,212,230,182,127,136,128,126,164,199,156,79,106,177,147,116,177,145,99,172,206,202,201,202,202,202,202,204,203,221,232,199,125,127,126,127,150,190,169,83,104,162,127,157,150,107,117,205,203,201,201,201,202,202,203,204,205,224,229,210,138,112,126,122,141,178,135,107,166,178,162,182,135,85,168,207,203,204,201,201,202,203,203,204,205,226,228,218,143,116,135,126,163,201,187,196,193,179,157,158,129,87,195,207,204,205,198,200,203,205,207,207,205,226,229,215,143,127,137,141,196,217,216,210,190,177,145,123,105,118,209,206,205,205,127,131,136,138,140,140,162,229,226,209,148,151,135,168,220,224,220,212,194,168,133,103,86,169,206,202,199,197,96,95,97,96,95,93,117,232,227,209,168,158,143,170,226,229,222,202,184,152,119,93,88,114,118,123,147,181,102,103,103,103,102,103,109,221,227,214,180,160,158,163,227,232,210,186,169,132,104,88,93,107,141,180,204,207,104,104,103,103,103,104,99,208,224,207,178,161,160,165,230,220,197,169,146,113,90,109,162,196,212,211,214,209,104,103,102,103,105,105,104,209,213,193,174,161,156,180,221,200,180,145,123,98,81,193,227,197,189,191,194,204,102,102,102,102,102,103,117,216,205,186,171,165,161,187,196,185,161,127,116,89,115,197,216,215,194,177,181,184,102,102,102,102,103,99,131,221,197,183,174,169,168,184,184,175,149,118,111,96,177,187,178,198,206,179,149,144
13,142,155,164,167,173,180,189,195,201,204,206,210,215,220,221,224,229,230,231,233,233,235,236,233,233,234,235,237,143,156,167,171,176,184,192,197,201,204,208,212,216,220,224,227,230,231,233,234,236,235,236,237,237,236,237,239,147,161,171,173,179,187,196,201,204,208,211,215,219,222,227,230,233,230,231,232,236,244,240,240,239,241,240,240,150,165,173,175,181,189,197,202,207,210,214,218,222,225,229,231,234,250,255,239,177,207,242,241,248,241,243,243,152,165,174,178,183,191,199,205,210,214,218,222,225,228,231,238,236,255,255,239,158,107,150,176,216,252,242,244,154,166,174,179,186,193,200,208,213,216,219,224,230,227,245,218,180,186,240,245,159,94,131,172,104,220,253,245,157,170,176,180,188,195,202,209,212,218,222,227,227,244,255,240,195,137,185,253,212,103,148,175,91,198,255,245,159,172,178,181,189,197,205,212,214,221,221,237,220,172,251,255,236,164,91,226,235,109,143,190,96,218,255,248,161,173,181,184,191,198,207,212,217,217,232,255,229,148,128,255,255,199,89,112,201,103,163,217,119,241,254,251,163,175,183,186,192,200,209,215,217,227,255,255,255,200,94,198,255,186,111,35,95,66,159,189,151,255,250,253,165,178,185,188,196,205,211,216,217,255,232,222,255,223,116,119,255,166,104,35,66,113,160,150,111,243,255,255,168,183,186,188,199,208,213,213,246,255,230,191,243,200,121,90,226,174,104,42,122,185,176,150,120,167,255,253,171,182,188,193,202,211,216,217,255,255,209,173,223,160,104,59,210,215,108,102,225,216,172,118,127,116,241,255,174,185,190,195,205,215,219,230,255,245,207,146,193,146,98,24,176,214,102,202,253,209,168,128,120,97,225,255,177,189,191,196,210,220,223,234,255,255,226,160,141,153,77,42,164,223,199,255,229,190,157,124,97,112,255,255,182,191,194,200,214,224,226,243,255,255,233,181,119,118,120,187,252,255,255,244,210,170,143,119,76,184,255,255,185,195,196,204,217,227,229,251,255,255,238,187,181,185,196,233,255,255,255,233,192,163,133,101,84,250,255,255,189,198,201,209,222,230,230,255,255,255,253,208,215,194,198,246,250,255,244,216,182,154,125,81,116,255,255,255,193,202,205,215,227,236,237,255,255,255,255,230,225,196,211,255,246,251,226,193,163,137,115,60,200,255,255,255,197,204,209,219,231,241,245,246,255,255,255,244,225,200,214,252,253,222,202,172,151,134,83,139,255,255,255,255,200,209,212,223,234,242,250,246,255,255,255,255,233,216,210,234,246,212,183,157,142,111,113,255,255,255,255,255,204,213,216,226,237,244,250,255,252,255,255,255,255,238,213,223,235,204,162,143,128,96,241,255,255,255,255,255,208,214,219,228,241,249,253,255,242,255,255,255,255,237,207,213,214,189,137,133,99,181,255,255,255,255,255,255,209,218,221,232,244,253,255,255,248,255,247,225,239,227,203,203,198,172,140,116,113,255,255,255,255,255,255,255,211,219,222,235,247,255,255,255,252,255,249,228,250,244,223,192,189,166,153,94,166,255,255,255,255,255,255,121,213,218,223,237,246,254,255,255,249,255,255,242,255,248,227,188,182,164,156,86,197,255,255,255,255,222,106,58,214,220,224,238,248,255,255,255,255,255,255,255,255,253,230,195,181,164,154,83,212,255,255,255,156,60,39,46,214,222,227,240,250,255,255,255,253,253,255,255,255,249,224,201,183,167,149,80,204,255,255,204,73,72,56,19
8,184,189,192,195,197,200,203,204,205,207,209,210,210,211,211,211,211,210,210,209,208,208,208,205,204,205,203,202,186,191,194,196,199,201,203,206,208,210,211,211,212,213,214,212,212,212,212,212,211,210,209,209,208,206,204,204,187,192,195,198,201,202,205,209,209,212,213,214,214,215,216,215,214,213,214,214,213,212,210,211,209,208,207,207,188,193,196,200,204,205,207,211,213,213,215,216,217,217,216,217,216,216,216,216,216,214,213,211,211,210,210,208,190,195,197,202,205,206,216,198,194,220,216,217,218,217,217,218,218,217,218,218,217,216,215,214,213,213,211,210,191,196,200,203,206,206,228,193,150,218,219,219,219,220,220,219,220,220,220,219,218,217,216,218,217,215,213,212,193,198,202,204,208,205,227,204,133,201,224,220,221,222,222,222,222,222,221,220,219,218,218,218,217,216,214,213,194,197,202,205,208,207,224,222,133,186,228,222,224,223,222,224,224,223,223,222,222,222,220,219,218,217,217,217,196,198,203,207,210,211,217,220,138,167,233,223,225,226,228,225,224,225,228,223,222,222,222,221,219,218,218,217,197,201,204,208,212,215,215,233,178,149,229,226,224,208,202,228,225,195,190,230,227,228,222,223,223,221,219,217,197,201,205,209,212,215,215,237,197,133,211,228,242,224,177,196,245,200,145,187,196,194,226,223,224,223,221,220,199,202,205,210,212,217,216,232,205,154,178,233,255,253,203,148,236,210,202,153,154,146,170,234,223,223,223,223,200,203,207,211,214,219,218,229,233,188,169,220,251,255,227,145,193,214,211,197,172,170,138,209,228,223,224,223,200,205,209,211,216,221,223,224,239,186,180,213,218,250,231,157,158,208,173,220,221,223,208,145,206,230,223,223,203,208,211,213,218,221,224,224,236,217,203,232,220,221,232,163,131,188,128,188,218,224,215,142,177,237,223,225,204,208,212,216,219,222,225,223,244,253,200,198,214,197,230,184,128,156,132,142,195,225,214,145,170,240,225,226,205,209,213,217,220,223,226,223,245,231,171,176,187,168,210,240,161,127,125,137,216,242,226,147,166,240,225,227,205,210,215,218,220,222,227,226,241,242,197,173,167,160,179,198,154,141,118,144,223,247,226,148,166,241,227,230,205,210,215,219,222,223,227,227,245,255,219,179,166,169,154,187,199,156,138,195,225,248,217,144,152,240,229,231,206,211,216,219,223,223,228,226,250,255,221,191,160,150,158,219,228,203,214,234,219,221,187,137,136,237,231,231,208,213,217,220,224,225,230,227,253,255,228,208,181,150,162,213,236,255,247,228,205,182,162,122,158,241,230,231,209,213,217,220,225,227,230,228,255,254,230,215,197,162,156,207,255,255,251,225,192,156,138,113,213,237,231,231,209,214,218,222,226,229,231,228,252,255,236,218,208,177,171,217,255,255,236,212,179,141,106,158,243,232,233,232,209,214,218,222,224,227,231,231,246,255,244,227,219,189,174,232,255,238,212,190,159,125,111,223,238,235,234,232,207,212,217,219,223,226,230,231,239,255,248,231,222,198,176,232,244,218,195,167,145,106,164,244,232,234,233,231,208,213,218,221,224,228,231,231,236,255,252,233,216,189,174,221,222,205,188,157,127,113,229,238,235,233,233,232,209,213,218,223,224,227,231,232,237,255,245,223,200,169,176,214,196,182,176,152,102,181,247,235,236,235,235,233,210,215,219,223,225,227,231,229,239,255,237,219,186,177,185,204,184,168,163,128,133,241,237,236,236,236,235,233
23,106,112,115,119,122,123,125,128,130,131,133,134,133,134,136,135,134,134,133,133,133,132,131,132,131,129,128,127,107,112,117,121,124,125,127,129,132,133,134,135,135,136,137,139,137,137,137,136,136,134,134,134,132,131,131,130,109,113,119,123,125,127,129,131,133,135,138,139,139,139,139,140,139,137,139,144,140,136,136,137,136,134,133,131,111,116,121,125,127,129,131,134,136,137,138,140,141,141,140,142,146,134,107,111,138,141,139,138,138,137,135,134,114,119,123,127,130,131,133,135,137,139,140,143,143,142,150,151,152,136,129,98,118,131,140,142,140,139,138,137,116,120,126,129,131,133,137,138,139,142,143,145,145,168,147,143,170,104,111,122,118,65,112,149,141,141,139,138,117,123,127,131,133,135,138,140,142,143,146,143,163,164,128,96,103,39,81,86,64,75,140,147,144,143,142,141,120,126,130,133,135,138,140,142,144,145,148,145,175,153,143,37,77,127,153,148,139,151,150,148,147,146,144,144,122,126,131,134,137,139,141,145,146,148,149,155,178,155,153,59,107,168,148,154,155,149,150,149,148,148,147,146,123,127,132,135,139,141,143,146,149,149,146,158,169,153,151,114,135,150,133,93,133,155,151,151,150,149,148,148,123,128,135,138,140,144,146,148,149,160,155,144,142,145,162,161,164,157,134,48,76,169,151,153,152,150,150,149,125,131,136,139,143,145,148,148,154,178,160,138,123,129,140,129,126,117,102,52,64,171,152,155,156,154,153,150,127,132,137,141,144,147,150,147,161,182,161,131,98,105,151,157,148,132,109,53,48,167,155,158,157,156,155,154,128,133,138,141,145,148,152,149,173,182,165,131,107,104,117,122,129,143,121,53,29,164,160,159,157,156,155,155,128,134,139,143,146,149,151,154,183,185,168,146,145,147,128,98,82,92,83,38,24,158,164,159,161,158,156,156,129,136,142,145,147,151,150,162,188,182,166,146,145,130,145,127,103,88,51,29,16,64,146,172,161,162,159,157,132,137,142,147,149,152,154,178,186,184,169,137,124,92,125,145,110,77,39,19,30,70,63,138,171,162,162,160,132,138,143,147,151,149,166,191,188,181,147,85,73,69,62,100,126,77,24,17,29,61,25,12,153,168,162,162,133,139,144,148,151,151,185,197,185,158,134,98,52,27,16,129,156,60,24,10,27,40,22,0,94,178,161,164,134,140,145,150,148,179,201,191,173,144,131,102,56,25,90,137,114,43,12,18,36,39,21,7,118,174,163,164,135,141,146,147,158,202,198,184,158,143,130,89,48,28,73,74,56,22,2,30,48,35,20,108,176,167,166,165,136,142,148,144,183,206,190,178,156,143,118,85,43,4,9,13,28,23,17,33,32,46,137,180,169,169,169,167,137,143,147,158,204,198,189,168,147,132,109,70,37,12,28,39,46,41,33,16,84,164,179,169,171,169,170,170,138,142,144,198,203,185,173,154,137,120,91,57,34,23,46,55,55,38,25,111,184,177,171,171,171,171,171,171,137,138,163,215,189,172,159,138,121,101,79,52,32,30,50,47,30,14,125,190,175,176,175,173,172,171,172,171,147,140,182,206,182,163,151,132,110,93,73,51,27,28,42,20,28,136,186,176,178,177,176,175,174,172,172,171,11,93,210,187,176,151,125,120,102,78,61,35,19,13,16,63,160,189,179,179,178,177,177,176,175,174,173,172,0,79,187,170,168,135,125,112,64,47,25,0,0,54,123,184,185,177,179,179,178,178,178,177,176,175,173,173
19,136,138,140,142,143,146,147,148,149,149,150,150,150,151,152,153,153,153,153,153,153,152,153,154,152,152,152,151,138,140,144,146,147,149,151,151,152,152,152,153,154,155,156,157,156,155,155,156,157,156,156,157,156,156,156,154,142,144,147,150,152,153,154,155,156,156,156,157,156,158,161,158,158,159,159,159,159,158,158,158,157,158,157,157,146,147,151,153,155,156,156,158,158,159,158,162,158,122,136,166,160,162,163,162,162,161,162,162,161,161,159,158,148,150,153,156,157,158,158,160,161,162,160,172,163,120,94,166,164,164,164,164,164,164,164,165,164,164,163,162,150,152,156,158,160,161,162,163,163,164,163,176,168,133,78,152,175,171,170,168,167,167,166,167,167,167,166,165,153,156,158,161,163,164,165,166,166,168,167,176,169,129,79,137,153,149,167,167,168,172,174,171,171,170,168,168,156,159,161,163,164,165,167,168,172,173,171,174,161,145,154,160,139,112,136,137,132,140,146,165,165,170,171,169,158,161,163,165,167,168,170,171,170,167,167,164,165,167,160,149,136,107,119,140,138,135,124,144,127,155,177,171,161,163,165,168,170,171,172,168,143,142,149,153,153,148,144,147,142,107,87,109,115,111,107,108,133,172,176,174,162,165,167,170,172,173,177,158,137,135,135,139,143,148,146,147,141,95,147,171,164,158,160,167,180,179,177,176,163,167,169,171,174,174,180,155,153,139,125,128,133,137,133,129,129,98,156,191,183,186,186,184,181,181,179,177,166,168,171,173,176,176,175,177,173,139,117,124,128,137,143,137,129,105,120,191,181,183,183,183,183,182,182,181,168,170,172,175,177,179,174,179,183,158,134,111,111,122,127,118,114,89,124,194,182,185,184,185,184,183,183,182,168,171,175,177,178,180,177,170,179,184,147,118,116,124,125,112,103,81,152,196,186,188,188,187,187,185,183,183,170,172,176,178,181,181,175,179,180,170,135,126,122,120,113,98,89,79,170,194,191,189,188,188,188,186,186,187,172,174,178,181,182,181,177,185,181,161,138,123,126,107,79,60,71,96,191,189,191,191,189,189,189,188,187,187,174,176,180,181,184,182,179,185,177,153,126,129,147,95,57,49,66,136,198,188,191,192,191,190,190,189,188,188,175,178,182,183,186,185,176,182,174,148,124,141,135,80,51,57,109,191,191,191,193,193,193,192,191,190,189,189,176,179,183,185,187,188,175,176,170,141,128,150,123,84,67,55,156,202,191,194,194,193,194,193,192,193,191,190,178,180,183,186,188,188,171,167,162,142,149,155,117,81,73,68,176,199,194,195,195,194,195,195,194,194,193,193,179,181,184,186,188,190,170,163,163,154,158,146,106,79,70,96,201,193,196,196,196,196,196,195,195,195,194,194,180,182,184,187,188,190,164,165,165,156,150,128,96,78,69,142,207,194,196,197,197,197,197,196,196,196,195,195,181,183,186,188,189,190,162,169,159,141,134,110,89,78,89,190,199,197,197,199,199,199,198,198,198,198,198,197,182,184,186,189,192,189,162,169,157,136,119,92,88,75,138,209,197,200,199,200,200,200,199,199,200,200,200,198,183,186,187,189,194,188,165,184,164,136,109,84,81,66,163,207,199,200,200,201,201,200,200,199,199,200,200,199,183,186,188,189,195,181,169,183,154,126,99,84,71,88,198,201,199,200,201,202,202,201,201,200,200,200,200,199,181,183,188,190,196,171,173,170,131,111,96,89,60,128,213,198,200,200,201,201,201,201,201,200,200,201,201,200
7,240,240,241,240,239,240,240,241,240,239,237,237,233,203,234,230,214,198,190,184,167,153,141,104,85,50,95,209,242,243,243,243,242,242,242,241,241,242,241,239,238,226,231,236,217,192,164,156,135,109,93,72,67,44,109,217,245,244,245,245,245,246,245,246,245,245,243,243,239,227,235,236,223,205,162,131,99,77,64,56,52,55,111,219,247,247,247,248,249,249,249,249,249,247,243,242,249,234,231,234,227,222,217,202,172,127,86,63,69,62,111,220,247,248,247,247,248,248,250,250,248,247,246,250,207,212,238,232,225,226,230,222,225,176,108,83,81,68,114,223,250,249,249,248,249,249,250,250,250,249,252,241,153,174,249,238,228,229,233,219,224,177,86,90,89,78,107,223,251,250,250,251,251,250,251,251,251,248,255,212,173,245,214,230,231,221,233,224,216,156,90,94,96,93,68,127,254,253,253,252,253,254,254,255,255,255,255,210,252,255,225,167,216,218,220,213,195,142,100,98,101,97,57,72,255,255,255,255,255,255,255,252,242,231,233,255,255,255,255,222,172,199,213,207,189,155,116,105,107,97,52,71,255,255,255,255,255,245,227,210,199,182,138,133,165,195,208,199,168,152,173,189,186,162,124,113,112,93,74,170,255,255,247,235,217,202,200,196,193,181,131,98,118,140,143,138,147,147,126,128,146,140,128,124,110,86,111,211,228,214,203,198,198,203,200,194,190,166,126,116,117,126,134,139,143,145,127,110,126,114,123,122,116,94,149,159,203,206,210,208,206,209,207,210,200,176,132,110,120,130,135,133,140,136,119,111,117,117,127,125,160,133,194,120,215,211,212,207,209,215,216,211,203,186,129,99,118,134,148,142,143,138,129,123,114,131,121,120,141,135,129,55,210,211,215,216,213,208,208,201,194,160,112,113,124,128,133,133,134,132,131,119,119,138,126,122,116,134,147,116,221,220,215,214,209,210,209,202,197,159,101,99,98,92,97,102,111,115,108,117,112,119,119,112,112,120,141,125,220,219,213,211,212,215,202,198,213,184,100,83,85,79,116,130,114,169,199,150,152,102,100,119,109,104,92,90,207,210,213,207,206,204,194,203,208,166,104,90,94,90,90,104,117,144,157,129,113,125,131,134,71,84,110,79,198,197,205,202,196,193,191,193,188,142,97,99,99,97,91,87,197,208,134,107,105,139,202,86,27,44,124,138,193,191,191,195,193,190,189,191,191,133,88,75,94,106,90,121,180,103,130,107,103,144,137,32,87,71,113,179,189,191,187,192,192,190,190,190,191,133,83,67,70,90,83,96,114,89,97,94,99,111,104,116,122,109,127,176,191,182,171,174,173,171,174,172,158,119,84,74,85,99,94,91,155,99,159,138,119,104,151,105,82,87,126,169,170,172,158,143,137,136,135,128,102,92,92,141,135,111,128,103,131,133,174,93,79,63,149,119,93,105,92,131,146,152,137,121,111,117,118,116,148,211,212,216,173,138,131,124,86,86,149,74,97,59,90,142,89,112,82,96,134,136,154,164,172,180,222,194,206,215,219,180,201,230,229,129,100,84,115,118,87,74,144,95,90,113,80,94,188,136,248,255,250,212,251,146,208,184,211,224,214,210,236,175,79,145,100,99,72,136,240,133,89,114,91,88,191,145,211,246,249,229,229,124,192,159,198,218,211,212,215,202,145,200,192,127,46,166,220,150,142,194,125,83,155,164,230,251,255,255,227,174,119,140,200,207,198,172,186,196,208,186,208,157,58,158,189,142,183,216,171,97
14,171,171,172,173,173,174,174,174,173,173,172,172,171,170,168,168,167,165,164,163,162,161,159,158,157,154,153,151,172,172,173,174,175,176,176,176,176,175,175,174,173,172,171,170,169,167,166,166,165,163,161,160,159,157,156,155,174,175,175,176,177,178,179,178,178,177,177,176,175,173,172,171,170,169,167,167,165,164,163,162,160,158,157,156,175,177,177,179,179,180,179,180,180,180,179,177,177,175,173,173,172,171,169,168,167,166,164,164,162,159,158,157,177,178,179,180,180,181,182,181,182,182,180,175,165,173,175,176,174,173,172,170,169,167,165,165,164,162,160,158,179,180,181,182,182,183,185,184,179,167,156,144,108,118,127,150,168,174,175,172,171,169,167,166,166,164,161,159,181,181,182,184,184,185,185,178,158,136,113,90,67,74,92,103,123,136,158,175,173,171,170,168,167,165,163,161,182,182,184,184,185,185,184,172,142,102,74,62,62,59,75,88,98,91,120,177,174,172,171,169,167,166,165,163,182,184,185,186,186,180,174,151,110,61,50,51,52,50,55,60,72,64,84,151,175,173,172,171,169,167,166,164,183,185,187,188,186,172,157,121,76,55,46,47,50,50,52,53,60,68,72,90,168,175,174,172,171,170,166,165,185,186,187,188,185,166,141,87,58,56,52,51,51,49,57,59,61,68,66,94,174,177,175,173,171,170,168,167,187,187,188,188,187,171,142,82,54,51,51,55,53,78,149,145,143,90,70,79,144,175,176,174,172,171,169,168,187,189,190,190,188,173,143,88,53,47,49,54,58,138,191,189,190,164,112,83,93,119,162,176,173,172,170,168,188,189,190,190,188,173,142,88,60,57,51,49,115,186,190,189,188,188,161,104,100,91,143,178,174,173,172,171,189,190,190,192,188,177,147,95,70,64,57,69,176,192,192,190,189,181,127,106,101,89,155,179,176,174,173,172,190,191,192,194,189,180,156,111,81,63,56,83,188,193,192,191,190,152,105,103,92,100,175,180,177,175,174,173,190,193,194,193,186,179,161,117,87,63,53,103,195,194,193,193,176,111,94,95,79,131,183,180,179,177,175,173,191,193,194,192,183,180,161,123,92,65,53,79,158,185,195,187,137,99,86,84,73,161,183,181,180,178,176,173,191,193,194,192,184,179,160,125,92,66,60,61,77,101,152,138,102,101,90,72,124,183,183,182,180,179,177,174,192,193,195,191,184,184,162,125,97,71,61,65,72,79,86,84,88,93,80,110,181,186,183,181,180,179,177,175,192,193,196,189,184,187,161,124,97,73,60,66,74,80,84,81,82,85,94,174,188,186,184,182,180,179,178,177,193,194,196,187,185,185,156,120,100,76,60,66,74,79,85,86,75,74,153,191,188,186,185,183,181,180,178,177,194,195,196,186,185,180,153,120,103,79,60,66,77,82,85,83,69,111,188,190,188,188,186,184,182,180,179,177,194,195,195,185,185,173,147,121,105,80,60,69,81,86,85,73,87,181,193,190,189,188,186,186,184,181,179,178,194,195,196,184,181,164,141,117,101,78,60,69,81,82,76,62,134,197,193,192,190,188,187,186,184,182,179,178,195,196,195,183,174,160,138,115,98,78,61,67,78,77,65,87,184,195,193,193,192,189,187,186,184,183,180,178,195,197,195,183,169,158,133,109,91,75,61,65,71,67,67,158,198,196,194,193,192,189,188,187,185,183,181,179,195,196,194,182,164,153,129,106,85,71,59,62,61,58,135,198,197,196,195,193,192,189,188,187,185,182,181,179
23,96,107,125,134,140,144,150,153,154,158,160,164,165,168,168,171,173,174,175,176,177,180,181,182,183,185,185,186,96,109,127,135,141,146,151,155,157,159,161,166,167,169,171,172,173,175,176,176,180,180,182,183,184,185,185,186,98,113,130,136,142,146,151,155,158,160,164,166,168,171,172,174,174,175,177,176,181,183,184,184,185,186,187,188,101,115,131,137,144,148,151,155,160,163,166,167,168,173,174,176,178,180,179,181,182,183,185,184,186,189,189,188,101,117,133,138,146,150,154,158,161,164,167,168,169,173,175,176,178,182,180,181,181,184,186,190,189,190,191,191,103,119,135,140,147,151,155,158,162,164,167,170,173,174,175,177,180,179,183,186,171,172,177,130,176,194,191,193,107,122,136,140,148,152,156,160,164,167,169,171,174,176,177,177,178,190,200,184,154,139,113,96,186,193,192,194,110,126,138,143,148,151,157,162,165,168,171,173,175,177,177,184,196,191,184,135,94,126,133,181,197,194,195,197,110,128,139,145,150,153,158,161,165,168,171,174,176,178,173,213,195,151,119,96,159,173,201,197,195,197,198,200,111,130,139,145,149,154,158,162,165,167,172,175,176,177,177,220,197,115,106,200,191,102,175,198,195,198,199,199,113,130,138,145,150,154,159,163,167,169,173,176,177,178,184,224,199,174,220,212,163,120,145,211,197,199,201,200,114,131,140,146,152,156,162,164,167,170,172,176,178,178,193,221,205,223,207,176,162,175,137,156,167,204,200,202,115,133,139,146,152,158,162,166,168,170,173,176,181,179,194,208,201,204,190,198,198,182,126,78,100,188,208,202,117,134,140,145,152,158,162,166,169,172,173,178,179,183,194,192,185,198,204,193,179,158,107,60,62,130,214,204,120,135,141,147,154,159,163,167,169,171,178,178,187,204,195,180,183,189,181,175,177,150,92,56,64,75,131,205,122,136,141,147,154,160,164,167,170,173,177,173,211,226,189,183,184,184,179,171,150,127,89,60,54,87,80,157,123,136,142,147,154,159,165,168,170,173,176,175,196,230,202,202,180,144,122,105,109,134,88,57,49,84,86,176,125,137,143,150,154,160,166,169,172,172,176,177,189,224,206,188,163,144,95,37,110,141,87,59,72,89,116,213,126,138,144,150,155,162,167,171,174,174,177,180,193,216,189,176,189,131,76,58,129,112,57,57,95,88,165,218,128,139,142,148,156,162,167,172,175,175,179,180,191,221,187,194,191,117,47,55,63,36,48,73,98,108,210,211,130,138,144,150,155,162,167,170,174,176,179,181,192,214,190,201,179,133,71,17,24,48,81,94,85,152,217,208,131,139,145,151,156,164,167,169,173,176,178,181,195,210,191,206,180,132,90,30,53,85,101,104,99,199,210,210,132,139,145,152,157,165,168,172,175,176,181,180,197,208,197,204,181,134,102,49,69,98,107,94,140,220,207,212,132,139,145,153,158,163,168,172,174,178,182,181,201,207,201,201,174,136,101,52,77,104,107,86,172,218,210,213,133,138,145,153,159,164,168,172,175,177,182,182,203,211,194,189,169,135,102,70,76,104,100,95,202,213,211,213,133,139,146,155,158,163,169,173,175,179,183,183,202,208,187,181,163,134,105,85,77,101,85,133,220,207,210,211,133,138,147,154,158,163,169,173,176,179,183,184,202,206,188,181,159,137,113,90,81,91,89,195,215,210,211,212,131,138,146,152,159,164,169,174,177,178,184,183,211,205,191,182,160,141,118,92,86,81,150,218,209,213,213,214
21,194,197,198,199,199,198,199,201,200,200,201,202,199,193,202,200,201,201,199,198,197,197,197,195,197,123,58,55,198,199,200,201,201,202,202,203,203,203,202,205,216,157,192,206,202,202,202,202,203,199,198,201,179,110,70,60,200,201,202,204,204,205,204,204,205,205,204,207,221,148,177,212,204,205,206,196,181,205,201,205,176,87,72,74,203,204,204,205,206,207,207,207,207,207,208,210,223,149,163,216,207,207,213,199,137,204,203,206,184,103,81,91,205,205,207,207,208,209,209,209,210,210,209,211,228,156,155,218,209,208,219,195,131,206,206,204,208,122,79,90,206,207,208,209,210,210,211,211,211,211,211,211,235,172,154,218,212,210,222,188,135,206,209,206,211,155,82,81,207,209,209,212,212,213,213,213,213,214,214,213,238,183,152,216,215,213,227,185,142,208,210,208,212,194,90,71,209,211,212,213,214,214,214,215,215,215,215,212,238,193,154,207,220,215,233,190,147,213,212,211,210,214,115,72,211,213,213,214,215,216,215,216,216,215,218,214,242,209,162,194,223,218,234,189,147,215,214,213,210,217,169,164,212,213,214,216,216,216,217,218,217,217,219,216,242,223,165,189,224,223,240,186,145,218,215,215,213,215,169,206,213,215,216,218,218,218,219,220,219,219,221,209,217,230,160,188,226,230,234,176,152,224,217,216,215,214,187,212,214,215,216,218,219,220,220,220,221,219,238,216,185,198,175,170,226,234,219,165,164,227,217,218,217,217,209,171,215,216,218,219,220,221,220,221,222,220,245,240,211,166,199,130,195,229,209,156,178,230,219,219,219,219,213,164,215,217,218,219,220,220,221,221,221,224,223,246,233,197,205,140,129,185,185,144,197,228,221,220,220,220,217,199,217,218,218,220,221,221,222,222,222,226,202,194,243,203,196,182,145,133,150,126,203,228,221,221,220,220,221,216,217,218,220,221,221,221,223,224,224,221,229,198,218,208,169,205,190,140,123,118,198,231,222,222,222,221,220,219,217,218,219,220,221,221,223,223,225,227,245,212,154,196,157,181,198,156,117,111,199,231,223,223,222,222,220,219,217,218,218,218,221,221,222,222,237,241,230,177,125,142,188,157,188,180,135,106,202,229,222,222,222,221,220,219,217,218,219,220,220,222,221,226,243,214,194,185,147,103,158,125,170,212,156,114,213,228,223,223,222,221,220,219,217,219,220,221,221,223,223,225,240,211,184,195,155,117,97,150,193,227,186,126,183,231,223,224,222,221,221,220,217,219,219,220,220,222,222,223,236,220,199,190,182,135,122,226,215,219,201,152,140,230,225,224,223,221,221,221,222,225,226,227,226,227,229,230,237,236,206,156,184,150,171,247,227,211,190,158,153,230,225,224,223,221,221,221,171,174,178,181,185,189,192,195,237,239,203,152,180,167,217,250,218,203,175,133,166,237,228,230,229,225,221,219,126,126,128,128,127,128,128,128,229,243,198,172,189,179,244,241,215,195,170,130,140,159,154,154,160,172,195,214,135,136,135,135,134,135,137,130,214,241,201,194,203,187,251,240,213,188,156,132,126,128,145,170,194,214,228,236,134,134,133,134,135,135,138,127,183,243,220,217,213,176,235,231,196,174,140,129,194,209,217,230,233,227,228,239,133,134,133,134,135,134,136,133,146,230,231,220,209,173,205,218,175,148,126,137,234,231,207,199,214,222,220,227,133,133,133,134,136,134,134,137,130,213,227,204,187,164,170,195,157,133,121,153,191,202,222,186,184,202,216,225
4,167,167,167,168,169,170,169,168,170,169,169,171,171,170,170,170,171,171,171,170,172,170,167,168,169,167,167,166,169,170,169,170,170,171,171,171,171,171,171,172,171,171,171,171,172,172,171,171,171,170,171,171,170,170,169,167,170,171,171,171,171,172,171,171,172,172,171,171,171,172,175,173,173,174,177,173,172,171,172,171,170,171,170,169,171,172,172,172,173,172,172,172,173,173,174,174,173,160,152,169,172,154,150,174,176,175,172,172,172,172,172,169,172,173,173,173,173,173,174,172,173,173,164,171,202,178,139,131,182,156,119,120,170,161,175,176,174,174,173,172,173,172,173,175,174,174,176,176,174,186,181,155,158,206,164,118,188,179,133,86,146,122,112,175,176,173,173,173,174,173,173,174,176,176,177,174,179,197,196,169,118,187,177,107,181,187,134,121,177,142,80,115,184,172,175,174,174,176,176,177,176,178,179,174,188,178,190,170,115,162,179,91,161,190,121,124,183,141,90,92,184,176,176,176,175,177,177,177,178,178,177,179,199,154,178,175,101,142,184,110,126,169,104,133,190,162,90,105,187,176,178,176,175,177,177,178,179,179,175,189,184,124,138,181,113,120,186,161,149,149,154,178,195,165,103,122,190,177,179,177,177,177,177,178,180,179,179,193,183,154,130,156,113,94,126,160,161,162,176,178,174,149,128,97,179,180,180,179,177,177,177,178,180,178,189,191,174,158,131,109,81,83,100,97,133,141,148,160,149,134,151,85,144,190,179,180,177,178,178,178,180,179,191,180,152,128,121,105,81,90,110,77,107,113,115,128,116,150,157,103,103,191,179,180,177,178,179,179,181,180,195,183,152,118,99,94,88,101,107,105,138,135,112,79,138,188,164,132,81,165,187,180,177,179,179,180,181,180,202,197,167,130,100,81,88,109,99,136,159,152,125,140,155,184,179,159,93,117,194,179,177,178,179,179,180,183,201,200,174,134,98,86,88,111,123,163,150,159,169,186,184,171,185,152,102,90,189,182,176,177,178,179,178,184,203,201,184,135,99,100,92,98,131,151,159,180,186,179,182,167,154,134,107,80,174,185,176,177,179,179,177,185,204,198,189,137,107,122,107,112,142,155,177,184,181,175,168,158,130,113,96,93,181,183,177,178,178,179,178,187,199,197,178,142,138,127,113,154,174,185,190,186,177,165,154,139,116,93,79,156,187,183,177,178,178,179,178,187,200,196,183,161,151,131,113,170,190,189,194,184,169,155,143,125,104,74,129,190,183,184,178,179,179,180,179,181,202,195,193,174,151,150,121,160,193,190,190,174,153,143,133,114,86,97,184,185,185,184,178,178,178,179,180,173,195,197,199,183,161,152,135,157,192,186,179,163,144,132,117,100,77,159,191,184,185,184,182,182,182,182,184,174,186,196,187,173,164,150,141,155,181,176,166,152,132,121,106,78,112,191,184,186,185,184,158,162,167,167,171,164,182,198,179,163,163,155,144,153,164,164,150,135,121,114,96,80,176,195,191,191,191,190,93,95,95,96,101,90,168,198,175,169,171,162,146,152,161,158,146,123,109,106,81,105,161,158,165,166,162,160,90,90,88,89,92,76,161,200,177,176,172,163,147,153,165,163,144,108,99,90,82,87,89,89,82,84,113,126,92,91,93,93,96,80,163,205,179,176,175,171,149,148,164,160,127,96,90,80,88,91,87,90,125,151,184,199,91,91,92,93,97,78,159,208,180,177,183,185,152,136,161,147,109,91,82,84,103,104,127,163,206,191,151,173
2,217,218,217,218,218,217,220,219,218,220,221,219,218,218,217,217,218,214,216,216,214,214,215,214,212,211,210,209,221,221,221,221,221,220,221,222,220,223,223,221,222,221,223,224,222,223,217,216,213,215,215,215,214,212,211,210,223,222,223,222,223,223,224,223,224,224,224,224,218,212,199,195,168,187,235,224,219,217,216,215,215,213,212,213,224,224,224,225,226,225,224,223,226,225,221,206,174,141,115,93,81,122,198,184,214,220,217,218,218,215,214,215,227,227,227,227,227,228,226,226,220,217,195,144,102,85,80,56,55,68,111,86,204,225,221,221,221,219,219,218,228,229,230,228,229,229,229,220,208,183,130,82,57,50,45,48,53,71,79,84,203,227,222,222,223,221,218,220,229,230,229,229,230,229,227,211,204,128,65,48,41,44,54,42,43,54,70,78,95,229,222,221,222,222,219,221,231,230,228,228,229,231,224,216,176,98,42,31,44,49,48,42,59,75,78,84,164,233,223,225,225,226,224,222,232,231,231,230,231,233,220,215,141,69,37,48,47,32,53,71,57,59,107,201,233,225,228,228,222,205,217,225,232,232,233,232,233,231,221,206,137,74,42,57,38,54,65,51,94,196,229,235,228,229,231,225,198,150,166,235,233,233,233,234,238,225,225,201,136,79,55,39,46,77,69,147,228,240,230,229,230,232,227,195,194,111,177,237,235,235,235,238,227,209,234,195,130,76,58,33,65,59,132,255,232,231,233,232,231,235,209,186,167,102,224,230,238,238,235,242,212,196,236,196,144,87,51,41,61,56,207,241,232,235,235,233,234,235,190,194,119,122,243,225,239,239,238,245,208,192,241,203,162,97,49,51,47,120,253,233,237,238,235,236,237,215,180,180,105,137,245,228,239,239,239,246,205,209,250,209,170,117,58,54,38,171,255,242,245,244,239,241,216,190,195,178,87,135,248,230,239,239,239,249,206,220,253,211,176,130,66,52,43,164,244,210,202,214,230,220,189,198,192,136,83,209,236,233,240,241,241,247,204,226,253,207,177,145,75,46,59,82,120,134,143,149,159,147,177,185,146,86,196,241,231,234,242,243,243,248,202,226,250,209,185,149,84,50,66,97,137,162,164,139,135,125,136,139,80,184,247,232,237,235,242,244,242,247,199,227,246,218,192,149,89,72,79,132,151,172,156,134,111,106,107,71,159,251,233,239,238,237,243,244,245,242,203,227,242,222,188,148,102,87,76,132,142,156,151,125,100,97,61,119,251,237,239,239,238,238,245,245,249,242,210,232,237,224,184,143,111,99,78,116,131,134,135,114,97,66,92,230,246,239,241,240,240,239,246,246,248,239,220,237,234,231,186,137,114,98,76,111,112,113,109,94,69,135,232,248,241,241,241,240,240,239,248,247,249,235,228,240,229,223,172,118,100,87,75,106,94,102,81,76,183,253,247,243,241,241,241,240,239,238,247,246,249,230,230,239,224,210,156,98,88,81,81,98,84,74,86,205,255,243,245,244,243,243,242,241,241,240,245,245,248,232,221,228,223,215,169,93,93,93,88,90,55,112,229,253,246,247,248,245,244,245,243,241,241,240,246,247,246,232,225,217,223,230,190,89,101,102,99,60,109,249,246,243,247,246,244,244,243,243,241,238,239,239,245,248,239,233,242,227,231,231,199,93,104,110,93,97,238,250,246,248,247,246,245,245,244,243,241,240,239,238,247,249,237,237,241,239,233,227,195,103,96,105,82,179,255,245,249,249,249,248,245,246,246,245,242,242,240,239
1,140,145,151,155,159,163,165,168,171,171,173,176,177,178,177,178,176,178,176,175,175,175,175,172,170,170,167,167,142,148,153,158,162,164,169,171,173,175,177,179,179,179,182,181,182,155,162,179,175,176,176,173,172,171,171,169,143,149,155,160,163,166,170,171,176,179,180,179,181,184,153,168,199,124,102,195,176,176,176,174,173,172,171,171,145,150,157,162,165,168,171,175,178,181,182,181,182,202,109,131,205,120,89,166,175,180,178,177,177,175,172,172,148,153,159,164,167,172,174,178,180,181,184,183,195,201,97,143,196,103,95,117,117,190,177,178,178,178,175,174,150,155,160,165,169,174,177,179,180,183,187,179,153,177,89,159,193,92,127,146,84,188,180,180,180,179,177,176,151,156,163,167,170,174,179,179,183,183,195,177,83,145,101,172,205,109,141,149,75,182,184,182,181,180,178,178,153,159,165,169,172,176,179,181,187,185,203,157,67,141,111,167,187,104,151,151,71,179,189,185,184,182,182,180,153,160,166,171,174,177,180,183,187,186,204,139,56,120,91,141,170,92,169,166,80,180,191,186,186,184,182,180,155,161,166,172,176,179,183,186,187,191,207,128,62,139,90,160,173,91,175,157,81,178,190,187,187,185,185,184,156,163,169,173,177,181,185,188,188,199,201,116,70,164,84,167,170,86,186,153,82,181,191,190,190,187,186,184,158,164,171,174,178,182,186,189,188,206,207,119,51,117,50,146,125,86,199,156,89,187,194,191,189,189,188,186,159,166,171,176,180,184,187,191,188,213,199,122,97,114,101,147,151,120,154,151,88,190,194,193,192,190,190,188,158,167,173,176,181,185,188,191,193,220,193,146,118,178,188,194,197,164,93,118,93,195,194,195,194,192,189,190,159,168,173,177,181,186,189,190,206,219,166,126,88,103,164,156,192,204,136,61,82,201,195,195,195,194,192,192,161,168,174,178,183,187,190,188,218,212,159,109,88,73,99,95,193,224,186,82,76,207,195,195,195,194,193,193,161,169,175,179,184,187,190,190,225,207,146,106,102,99,119,165,179,205,187,113,93,208,196,197,196,196,194,193,162,170,176,179,185,189,191,195,229,198,151,108,114,109,153,213,196,175,138,108,69,185,204,197,197,197,196,195,160,168,174,179,184,189,190,198,230,200,160,125,122,129,192,219,188,159,116,78,62,188,205,199,199,198,196,195,161,168,174,178,182,187,189,197,230,201,155,129,125,139,211,227,182,144,106,62,60,200,200,198,198,197,196,195,162,169,175,179,183,188,191,196,226,203,161,150,126,136,214,224,172,131,97,50,83,210,200,200,198,198,196,195,162,169,176,180,184,189,192,194,221,207,175,173,134,127,219,203,161,114,82,44,162,210,200,200,200,199,196,196,163,170,175,180,184,189,194,194,217,212,182,178,133,136,212,184,152,105,58,74,209,201,202,201,201,198,197,196,162,168,174,179,184,187,192,193,221,216,184,167,120,143,194,156,136,91,39,129,214,200,200,200,197,196,195,195,163,171,177,185,192,194,199,195,222,208,178,149,115,148,165,138,118,75,53,192,215,209,209,208,205,205,203,201,127,131,133,134,138,143,137,164,230,199,179,148,128,153,148,134,106,61,67,148,146,147,147,149,149,150,148,146,91,88,87,88,87,90,79,184,228,201,187,150,149,146,125,116,80,50,70,76,76,75,75,77,72,71,69,67,102,100,101,103,103,100,111,223,203,177,176,162,146,120,108,94,53,61,93,90,90,88,88,88,88,85,86,88
13,178,179,179,180,180,180,180,181,180,179,180,182,182,182,183,184,181,181,182,182,180,181,181,180,180,178,176,178,179,180,180,180,180,181,182,181,180,182,184,182,180,180,178,177,187,186,184,183,180,180,182,182,181,180,178,178,180,180,181,180,182,182,181,181,181,182,181,183,195,198,178,141,134,168,166,182,183,183,184,184,182,182,180,179,180,181,181,181,182,182,181,181,182,182,181,204,215,214,198,149,100,76,109,114,186,183,183,182,182,182,180,181,181,181,181,181,181,181,183,183,181,183,183,171,175,202,204,160,110,62,91,66,150,192,181,184,182,183,183,183,180,180,181,182,183,183,182,184,184,149,169,168,144,166,194,175,123,68,105,112,129,195,183,185,184,184,183,183,180,181,183,183,183,184,180,201,202,140,142,171,175,182,175,180,152,69,105,104,120,196,185,185,186,185,183,183,181,181,183,184,184,183,182,218,203,166,140,107,149,177,169,138,100,58,49,109,173,189,187,186,186,186,185,185,181,182,182,184,182,194,152,132,183,192,168,102,43,125,173,144,118,97,71,92,198,186,187,186,186,186,186,185,180,182,182,176,197,204,133,82,107,203,182,137,43,34,93,125,154,167,140,77,126,201,185,187,187,185,186,184,180,181,180,197,208,180,126,105,62,175,195,141,96,33,33,56,180,192,176,137,75,156,196,184,185,185,185,183,181,179,191,209,172,167,141,129,58,121,205,153,134,59,43,36,126,206,191,155,108,83,184,187,184,186,185,184,182,183,199,173,133,160,155,136,81,46,181,184,155,103,30,69,145,194,193,156,130,81,142,197,184,186,186,186,181,188,205,185,145,147,169,134,122,57,68,196,172,143,82,105,208,186,174,145,131,83,137,199,186,187,187,187,180,189,199,182,161,131,150,159,155,113,24,92,187,175,162,125,195,180,156,119,100,70,156,196,187,187,187,187,183,187,201,198,179,154,122,145,163,139,116,35,148,176,161,178,185,164,145,113,78,68,179,191,188,187,187,186,174,174,202,209,194,169,153,139,143,142,158,91,176,198,191,194,177,157,135,106,71,93,198,192,193,192,190,188,96,92,191,212,201,181,163,159,160,141,112,134,198,209,209,185,171,153,127,95,67,112,178,173,177,176,179,180,79,59,157,216,203,190,174,163,168,168,137,130,185,208,204,185,156,139,119,86,74,79,85,89,88,89,89,90,84,73,112,209,197,196,191,177,169,167,156,119,148,202,193,178,154,123,102,81,72,81,74,67,68,80,110,138,82,82,77,180,190,191,194,190,177,166,153,136,120,180,181,162,143,114,92,78,69,83,101,123,154,178,190,182,81,86,74,117,195,184,193,198,182,168,151,137,122,143,167,146,121,106,90,70,75,148,188,195,191,184,188,180,82,82,84,72,155,193,189,189,173,159,146,131,120,120,139,139,122,102,85,55,134,220,196,182,174,160,161,171,83,83,84,76,88,190,185,169,156,147,139,128,108,102,124,143,130,93,72,60,191,204,189,176,151,130,125,142,82,82,80,84,69,158,196,159,139,140,135,125,106,88,128,155,118,82,54,110,222,195,195,177,128,100,121,132,83,83,80,85,72,123,199,166,154,155,139,120,106,88,132,153,95,76,51,177,212,190,207,189,134,85,106,132,82,84,79,85,73,106,201,178,168,169,148,127,117,90,130,141,90,65,72,209,189,184,208,208,155,91,86,123,83,84,79,83,73,105,193,186,181,174,151,138,127,84,122,135,91,54,103,213,186,180,198,215,174,101,75,100
22,101,105,107,110,112,115,118,121,123,125,129,128,128,130,131,132,133,133,131,132,133,133,134,134,134,133,134,133,104,108,110,113,115,118,122,124,126,128,130,130,135,134,134,135,135,138,135,136,136,136,137,137,137,137,137,137,106,111,112,115,118,120,123,126,129,130,133,134,105,133,138,138,135,106,139,137,134,140,140,141,140,140,140,138,108,112,115,117,120,122,125,129,131,133,138,130,69,123,144,143,143,67,130,148,109,107,148,142,142,142,143,142,110,114,116,119,122,125,128,132,135,134,145,123,58,127,144,152,141,72,133,156,110,78,152,144,145,144,144,145,112,115,119,122,124,128,131,134,136,136,150,121,53,129,144,159,138,79,140,156,108,76,150,146,147,148,147,147,115,118,121,124,126,130,133,135,139,138,151,130,58,129,149,159,127,82,145,159,115,81,152,149,149,149,150,149,116,120,122,126,128,132,135,138,143,139,153,142,59,123,153,157,114,80,148,157,113,87,155,151,152,151,151,150,118,122,124,128,131,134,138,141,144,142,158,144,58,121,157,147,101,82,151,158,112,87,159,153,154,154,154,153,119,123,126,129,133,135,139,142,146,144,159,153,68,114,167,129,95,81,156,159,112,92,162,154,154,154,155,155,120,124,128,130,133,136,140,143,147,147,155,163,110,95,101,116,105,83,161,163,105,99,165,154,156,157,156,157,122,126,129,133,135,138,142,144,147,149,154,154,132,107,87,91,102,97,165,158,97,110,168,156,158,159,159,159,123,127,131,134,136,140,143,147,150,148,161,177,147,141,141,123,77,105,163,152,89,122,168,159,160,159,160,160,125,128,132,135,138,141,144,148,150,154,156,145,149,108,154,139,87,66,129,124,79,138,166,160,160,161,162,161,126,131,134,137,141,143,146,149,151,156,150,126,136,58,91,146,116,65,66,87,64,147,165,161,160,162,162,162,127,131,134,138,142,143,146,151,152,160,162,125,125,85,26,116,148,102,58,56,66,160,165,163,163,163,164,164,128,132,135,138,142,146,149,151,152,166,156,114,108,93,46,69,165,133,85,51,68,167,165,165,165,166,165,165,129,133,136,139,142,146,149,153,152,171,163,122,85,71,61,123,171,142,104,71,69,168,166,166,166,167,166,166,130,134,137,139,143,146,148,152,154,176,159,116,87,92,96,176,165,127,102,74,69,172,167,166,167,167,167,167,131,135,138,140,144,147,150,154,156,171,153,117,110,94,130,174,151,118,85,58,85,175,166,168,168,169,169,168,131,136,139,142,146,148,152,155,156,169,150,115,114,91,148,173,135,106,81,51,107,179,167,170,170,172,172,171,132,135,139,143,145,149,152,155,156,164,148,114,122,100,159,172,126,96,74,52,114,180,169,172,173,173,173,172,131,135,140,142,145,149,152,155,157,158,149,121,135,104,152,159,120,91,70,47,126,180,170,172,173,173,173,173,131,136,139,142,145,148,152,155,159,155,148,126,136,106,144,142,109,86,65,48,142,177,170,172,172,172,174,173,133,136,140,143,146,149,152,155,158,158,153,130,127,99,127,126,95,84,63,57,157,173,172,172,172,173,173,172,133,137,140,144,147,150,153,157,157,157,154,126,104,88,121,106,91,87,59,89,174,170,172,172,173,173,173,173,132,136,140,144,147,150,153,156,154,159,156,129,108,105,126,94,101,76,52,145,177,172,173,173,173,174,173,172,133,136,140,143,147,150,153,156,151,162,163,140,127,112,123,90,103,54,92,177,170,173,174,173,173,173,173,173
4,207,207,208,209,208,209,208,208,208,209,207,209,209,208,210,210,210,209,209,208,209,209,207,208,208,206,204,202,210,210,210,210,209,209,211,211,209,210,209,209,209,213,210,211,213,211,210,210,209,210,206,208,208,206,205,206,212,210,211,211,211,210,211,211,212,212,211,209,207,213,218,212,213,216,220,213,210,210,211,210,210,208,207,208,211,213,212,211,215,213,212,214,214,212,212,232,211,170,179,214,194,160,191,223,218,214,209,210,210,210,210,209,211,211,214,215,216,216,214,211,217,210,197,216,255,205,132,199,222,154,99,189,179,198,219,210,211,211,211,211,215,215,215,216,218,216,217,212,231,243,220,143,209,244,134,190,241,175,103,186,158,96,185,226,212,214,213,212,217,217,217,217,217,218,216,219,228,234,226,154,168,236,116,169,255,167,134,224,179,99,92,223,216,216,214,215,217,217,218,219,218,220,213,235,221,206,235,137,139,226,133,122,228,127,120,225,192,111,82,223,216,217,215,216,217,218,219,220,219,217,218,243,190,147,221,154,113,220,194,159,176,159,191,239,215,120,119,234,215,219,217,218,217,218,219,222,222,216,231,234,190,137,180,159,93,149,185,198,186,210,222,220,189,144,112,224,220,219,218,218,217,218,219,222,220,223,239,221,207,164,129,96,78,113,107,161,171,182,192,191,159,181,86,177,233,218,221,220,219,219,219,221,221,230,233,196,164,148,122,85,80,130,76,100,130,129,158,141,166,192,108,123,239,217,221,221,220,220,221,223,222,234,235,189,141,113,109,94,98,130,103,143,150,129,85,142,230,201,150,84,212,227,222,225,219,220,220,223,221,242,252,210,160,112,85,83,111,111,133,186,191,147,131,178,233,218,192,93,148,241,220,227,218,218,219,223,220,245,254,222,168,111,87,82,119,124,183,190,190,182,221,221,205,232,192,106,100,238,224,226,219,218,218,220,219,249,254,235,176,108,101,90,102,139,181,184,210,228,220,223,207,193,163,117,82,218,227,225,219,218,221,221,220,253,248,242,179,113,127,117,104,151,177,211,224,221,216,206,192,151,128,109,88,216,226,224,218,218,221,222,226,249,246,228,175,155,147,119,163,204,221,237,228,217,202,187,165,133,100,72,172,231,223,224,219,219,221,222,225,250,246,231,200,180,156,120,190,237,231,239,228,208,188,169,146,116,70,133,233,224,226,225,220,220,221,222,217,251,244,240,221,184,176,143,177,238,231,233,217,184,171,155,130,89,92,223,229,228,227,225,218,219,220,224,210,238,244,247,230,199,182,164,176,235,229,220,199,170,154,132,110,72,181,236,227,229,227,225,225,225,226,230,219,224,245,234,212,199,183,167,180,219,215,199,181,155,139,118,74,122,240,229,230,230,231,230,141,145,147,156,144,201,255,225,202,196,191,173,182,200,198,177,157,137,129,101,75,204,236,232,235,234,227,223,82,83,84,91,65,176,255,220,212,211,198,177,183,198,192,173,138,120,113,83,91,128,127,127,124,129,161,208,95,96,95,101,78,178,255,223,218,216,199,177,184,203,200,171,116,103,91,79,90,76,73,89,155,181,198,218,94,95,94,100,75,176,255,226,219,218,215,183,172,199,192,143,98,92,81,90,94,114,194,224,217,248,229,190,97,97,96,102,78,173,255,227,219,227,232,185,154,192,171,117,92,77,72,142,199,225,247,227,169,175,223,217,94,96,95,100,82,175,254,217,212,227,232,182,150,185,160,106,80,69,166,245,249,225,203,185,168,136,166,207
1,148,152,155,157,160,162,164,165,166,167,167,168,169,168,169,169,169,169,169,168,169,169,169,169,168,167,166,165,151,155,158,160,163,165,166,167,168,169,170,171,170,171,171,172,172,172,172,171,172,172,172,172,172,170,169,169,154,158,161,163,166,168,170,171,171,172,173,173,174,174,175,175,175,176,176,175,175,176,176,176,175,174,172,172,157,160,164,166,170,171,173,173,174,176,176,176,177,178,161,164,179,178,178,177,178,178,178,178,177,176,175,174,160,163,167,170,173,175,176,177,178,178,178,180,173,180,152,130,183,182,179,179,180,180,181,180,178,178,177,176,162,166,170,174,176,178,179,179,179,180,180,191,168,154,155,108,149,162,182,182,183,183,183,182,181,180,179,179,165,170,173,176,178,180,181,182,182,183,183,196,167,148,165,103,134,120,180,185,186,186,186,186,184,184,182,181,169,173,175,179,181,183,184,186,185,186,182,196,175,145,179,121,139,116,165,189,188,188,188,188,187,186,185,184,173,175,178,181,183,185,187,187,188,190,170,164,187,137,180,132,142,133,146,192,190,190,190,189,189,188,187,186,174,178,181,183,186,186,188,190,190,196,166,138,189,133,171,146,154,167,134,188,193,193,193,192,191,190,189,187,176,179,181,185,187,188,190,192,192,201,170,141,189,138,174,161,144,180,134,175,196,195,195,194,194,192,191,190,177,180,183,186,188,190,192,193,194,205,172,148,203,151,166,170,132,184,148,155,199,197,196,196,195,195,193,193,179,183,185,187,190,192,194,196,195,205,171,141,197,138,137,167,123,188,164,140,198,199,199,198,197,197,195,194,180,184,187,189,192,193,195,197,197,207,178,128,175,144,138,161,139,174,156,129,190,201,200,200,199,198,197,196,181,184,188,190,193,195,197,198,199,209,173,126,156,186,161,164,181,162,135,120,173,204,201,201,201,200,199,198,181,185,189,192,194,197,199,199,200,206,182,168,142,169,176,197,189,155,134,118,139,204,202,203,203,202,201,201,183,186,191,193,196,198,199,199,203,205,183,171,140,157,199,202,186,191,157,119,111,196,205,204,205,203,202,202,183,187,191,194,197,199,199,200,206,210,173,153,156,177,176,157,158,215,203,159,108,179,207,206,207,206,205,204,183,187,191,194,197,200,199,201,208,221,176,146,142,139,133,140,176,206,203,168,127,159,209,207,207,206,206,205,184,186,190,193,195,198,199,200,207,229,192,145,151,152,175,203,215,201,185,151,112,145,210,208,207,206,206,206,185,187,190,194,196,198,200,200,204,228,213,155,167,163,201,224,222,204,175,141,95,144,211,208,207,207,206,207,185,187,191,194,196,199,200,201,204,226,226,172,181,168,198,230,229,204,165,130,92,151,212,208,208,208,206,206,185,188,191,193,196,199,201,202,203,219,226,192,195,178,185,231,227,194,156,119,93,173,212,210,209,208,207,206,186,189,193,195,197,200,202,202,203,210,224,210,199,185,171,224,220,185,148,110,95,190,212,212,210,209,209,208,166,170,175,180,184,189,191,192,195,196,220,223,201,181,159,206,208,174,137,104,107,203,213,214,212,210,209,209,103,105,107,111,115,117,119,122,126,129,199,215,191,173,153,180,191,160,125,104,112,168,175,180,196,213,211,207,98,99,99,99,100,101,101,101,102,101,178,204,185,169,149,163,180,154,117,101,100,107,131,173,197,198,205,205,99,102,108,107,106,104,102,103,103,103,174,203,186,165,153,161,177,147,105,97,119,169,207,213,195,174,174,199
6,136,140,144,147,150,154,158,161,165,168,170,172,174,177,178,181,182,183,185,186,186,186,187,188,188,188,188,188,137,141,144,146,150,155,159,162,165,168,171,173,175,177,179,181,182,184,185,186,187,188,188,188,188,188,188,188,137,141,144,146,150,155,160,163,166,169,172,175,177,178,179,181,184,185,186,187,188,189,190,190,189,189,188,188,137,142,145,148,151,156,160,164,167,170,173,175,178,179,180,182,185,187,188,188,189,190,191,191,190,190,190,190,138,143,146,148,152,156,160,164,168,171,173,176,178,180,181,183,185,187,188,188,189,190,191,192,191,191,191,191,139,143,146,149,152,156,161,165,168,172,174,177,179,181,182,184,186,187,188,187,187,189,191,190,188,185,181,181,139,143,147,149,151,156,161,165,169,175,181,184,182,183,187,191,193,196,194,191,192,197,201,197,189,181,169,166,138,142,145,147,150,155,161,168,179,191,199,195,184,177,183,194,200,201,197,189,190,195,198,195,188,177,167,165,138,142,145,147,151,159,172,186,198,203,204,196,180,156,150,163,170,171,170,167,168,167,165,166,163,157,154,156,139,144,147,151,164,182,198,202,201,201,203,198,178,143,118,116,118,122,132,141,147,156,165,170,172,172,173,176,140,148,160,177,193,203,204,202,202,204,202,189,162,135,112,104,102,101,120,153,172,184,189,191,192,193,192,193,157,175,194,203,206,206,203,203,205,203,194,176,149,127,112,107,110,109,114,139,162,184,193,195,195,194,193,193,197,204,208,208,206,206,206,204,204,204,201,190,159,125,110,103,108,115,115,113,114,151,188,195,196,195,194,194,211,211,210,208,205,204,204,202,203,206,208,195,158,126,113,108,106,111,116,116,106,111,159,193,195,195,195,195,215,213,210,205,203,202,202,199,201,207,205,179,147,126,119,119,118,110,103,105,106,102,132,186,194,194,194,193,215,212,206,200,197,195,195,193,196,201,194,169,140,122,118,122,126,121,104,97,96,101,128,174,183,183,182,181,211,208,203,197,195,194,193,191,192,196,192,171,138,113,101,112,126,136,120,105,96,99,115,132,135,134,134,133,209,208,205,200,197,196,196,195,195,198,193,169,134,114,105,105,109,120,121,114,105,103,102,103,103,103,103,102,210,208,204,199,196,195,193,192,195,198,187,160,130,120,120,117,111,107,108,109,110,107,104,103,103,103,103,102,204,201,197,193,190,186,181,180,186,186,173,152,133,126,125,121,114,106,103,103,109,110,107,105,104,103,102,102,190,189,187,182,177,173,167,168,173,169,155,140,129,123,124,122,116,109,106,107,108,109,108,105,105,103,102,102,169,169,167,164,160,157,153,151,149,142,130,121,115,111,110,112,113,111,110,108,107,107,107,105,105,103,102,101,137,137,138,138,137,133,128,123,119,116,113,110,109,108,106,106,107,109,109,107,107,107,106,105,106,104,102,102,119,113,111,110,109,109,110,110,108,109,110,110,110,109,109,108,108,109,108,108,106,105,106,105,106,104,103,103,107,102,97,95,100,107,109,110,110,111,111,111,110,110,110,109,109,109,109,108,106,105,105,105,104,103,102,103,101,95,90,93,102,109,110,111,111,111,111,110,110,110,110,109,108,109,108,108,107,105,104,104,105,104,103,102,116,108,98,96,102,109,111,111,110,110,110,110,109,110,109,108,108,108,108,107,107,105,104,104,104,103,103,103,124,111,101,98,102,108,111,111,110,110,110,109,109,109,108,108,108,108,108,108,106,105,105,104,104,103,103,103
8,186,187,186,187,188,188,189,188,188,189,189,188,190,190,189,189,190,189,189,188,186,186,185,186,184,184,184,183,187,188,188,190,191,190,190,191,190,190,190,190,175,181,193,191,192,192,190,190,189,188,188,187,185,184,185,184,190,189,190,191,192,191,191,192,191,192,188,203,158,141,199,191,193,192,192,191,191,191,190,189,189,187,186,186,190,191,192,192,193,193,192,192,193,192,192,206,138,140,203,192,194,195,194,193,192,193,192,190,190,189,188,187,192,193,193,193,194,195,194,193,194,191,202,201,111,156,203,193,195,197,196,193,194,194,192,192,191,190,189,188,193,193,194,194,196,197,195,196,197,193,209,199,103,168,203,196,197,197,197,196,196,194,193,193,193,191,191,190,194,195,195,196,197,197,197,197,198,193,215,184,107,186,203,197,197,198,197,197,197,197,195,196,193,193,193,192,196,196,196,197,197,196,197,198,198,197,217,157,114,198,197,200,202,198,203,201,195,197,197,198,197,193,194,194,196,197,197,198,198,198,198,198,197,203,213,154,115,210,195,156,181,201,172,186,205,199,202,191,191,197,195,196,197,198,198,199,199,199,199,200,196,209,211,162,124,229,206,155,135,199,144,129,155,158,179,170,124,192,197,195,198,198,199,199,199,199,199,201,196,214,209,160,160,241,214,183,121,175,166,121,106,138,162,165,83,185,201,195,198,198,199,200,200,200,201,200,198,216,204,160,188,240,226,195,116,149,169,122,169,147,175,179,88,184,201,195,197,198,200,200,200,200,200,199,206,206,190,185,188,215,232,193,122,131,156,135,186,144,180,193,121,167,208,196,196,197,199,199,200,200,201,200,212,180,185,195,184,177,231,198,129,106,139,158,175,134,173,193,160,128,204,200,196,197,199,198,200,200,200,202,214,168,163,187,168,170,217,206,134,85,121,167,164,109,154,197,154,97,189,203,198,198,199,199,200,200,198,203,222,167,133,159,151,142,199,205,126,77,112,168,153,97,169,183,119,116,206,197,198,199,199,200,200,201,198,208,231,178,121,135,126,121,161,201,153,75,102,179,143,110,179,144,91,170,207,198,198,199,200,199,200,201,200,218,231,198,120,125,125,122,147,188,171,76,98,163,120,155,150,99,113,206,199,199,198,198,199,199,200,202,202,220,227,209,134,108,125,118,138,178,129,100,167,176,159,183,133,79,166,208,199,202,198,198,199,199,200,200,201,223,226,218,138,112,135,121,160,202,183,195,192,176,153,157,128,80,193,205,201,202,197,200,202,205,207,207,204,223,227,214,138,124,135,136,196,214,214,207,187,175,141,122,100,113,209,202,203,204,124,128,133,135,138,135,159,228,223,207,143,151,130,166,221,220,216,210,191,166,131,101,80,170,210,201,197,193,91,91,92,91,92,84,112,233,224,207,165,158,137,168,226,225,220,200,182,149,117,90,87,111,111,116,142,179,101,101,101,102,101,101,106,220,225,213,177,159,154,159,227,229,207,182,168,129,102,85,88,102,136,177,203,205,102,101,100,101,100,102,94,206,224,205,174,160,156,161,231,217,194,166,144,111,86,105,160,195,215,212,212,206,102,101,99,100,102,103,100,207,212,190,171,160,151,178,222,196,178,142,120,98,73,194,232,192,184,187,191,203,99,99,99,100,100,98,114,216,202,183,168,162,158,185,193,183,159,123,116,84,111,197,212,214,191,173,180,181,100,100,100,99,103,92,129,222,192,180,172,166,166,181,181,173,146,115,109,91,178,185,172,195,205,177,145,141
7,130,141,156,181,193,202,208,211,213,217,220,221,222,223,225,226,226,225,225,223,221,221,220,218,216,214,212,210,130,142,158,184,196,204,210,212,215,219,221,224,225,226,227,228,228,228,227,226,224,224,222,220,219,217,214,213,132,143,159,184,197,205,210,214,218,220,222,225,227,228,229,229,231,230,229,228,227,226,224,223,220,219,217,215,134,144,161,185,197,206,212,215,218,221,225,227,228,230,231,233,232,232,231,229,229,227,225,224,223,222,220,217,135,145,162,187,197,207,213,217,219,223,227,228,229,230,231,233,233,233,232,230,230,229,228,226,225,224,222,219,136,146,164,188,199,207,215,218,220,224,227,229,230,232,232,234,236,236,237,237,236,234,233,229,227,225,223,220,137,147,164,189,199,209,215,217,220,224,229,232,235,237,236,235,233,231,225,213,213,214,224,232,228,227,226,223,138,148,165,189,200,209,217,222,223,224,223,222,213,206,197,175,176,180,171,162,206,210,183,238,230,228,228,225,139,148,167,191,201,209,215,202,192,186,189,187,173,165,160,143,156,147,149,152,164,158,174,226,234,231,227,225,140,148,169,190,198,217,205,165,167,175,174,171,165,156,155,154,149,157,156,152,145,138,153,175,191,234,228,226,140,150,167,192,214,217,191,154,142,143,149,160,171,176,178,160,139,167,162,145,140,129,140,158,152,232,230,227,142,146,177,214,213,199,191,177,169,173,185,186,180,174,165,140,128,135,128,120,123,125,132,150,198,237,229,229,134,168,216,212,203,204,189,170,165,169,176,165,159,152,130,122,140,164,185,203,219,227,234,239,241,235,232,229,170,224,217,209,208,194,171,131,132,145,134,119,112,123,189,225,238,250,252,250,248,245,243,239,238,236,233,231,225,222,213,211,190,174,155,120,121,111,94,87,94,98,106,182,255,241,242,242,243,242,242,241,239,237,234,232,215,215,216,198,178,169,160,150,126,107,110,113,110,106,85,124,254,243,246,245,245,244,244,242,240,237,236,233,214,216,200,176,168,163,175,180,138,109,113,112,110,107,100,105,236,250,245,246,246,245,244,243,241,237,235,233,213,195,171,160,159,156,160,151,114,99,89,93,103,107,94,93,224,252,246,246,245,245,244,243,241,238,236,234,188,170,163,162,159,145,135,123,110,96,95,115,121,108,107,223,250,247,247,247,245,244,243,243,241,239,236,234,167,166,160,152,141,127,121,131,132,114,110,106,102,106,192,253,243,245,245,244,243,243,242,240,239,237,235,232,166,156,142,136,131,130,136,148,133,102,111,150,188,229,249,242,245,245,244,243,243,243,242,241,238,236,234,230,158,150,144,144,139,130,125,117,103,140,215,244,247,245,242,244,243,244,244,243,243,242,241,241,238,236,232,227,124,123,128,125,118,114,116,145,192,231,237,234,236,240,242,243,243,243,244,244,244,243,241,241,238,236,234,234,96,91,61,95,187,188,211,229,234,229,233,238,239,241,242,244,244,242,243,241,239,238,236,233,232,233,229,182,97,90,33,98,203,182,182,176,175,175,175,173,171,171,173,172,168,164,164,162,159,155,151,154,138,115,98,63,88,60,32,102,145,137,139,140,140,142,140,140,142,141,141,139,139,140,137,135,134,134,135,118,73,50,46,42,34,29,42,121,155,149,148,148,148,148,147,147,147,147,147,147,146,147,147,143,142,133,94,60,50,48,44,35,44,64,73,107,151,147,147,147,148,148,148,147,148,147,147,146,143,141,141,141,116,78,44,45,43,40,39,35
7,189,192,195,198,200,199,202,202,202,204,203,203,203,203,202,201,201,199,200,199,195,195,196,193,190,191,190,188,192,194,196,200,202,204,205,204,204,204,203,204,203,202,202,202,202,200,201,199,199,197,196,194,193,192,191,189,192,194,199,202,203,205,207,206,207,208,206,206,205,204,203,205,204,202,202,199,200,199,198,195,196,194,193,191,195,197,200,202,204,206,207,208,208,208,208,208,208,207,207,206,204,204,204,202,202,201,199,198,197,195,194,193,196,199,202,204,207,206,207,209,209,209,209,209,208,207,208,208,207,207,205,203,202,202,202,199,198,196,196,195,197,202,204,205,206,208,209,209,209,209,209,210,209,208,208,207,209,209,208,208,207,203,199,202,200,200,198,194,199,202,204,209,209,208,210,212,211,211,211,211,212,213,213,212,209,205,200,195,172,184,202,186,203,201,199,197,202,202,204,209,209,211,212,216,217,218,214,208,203,194,186,183,184,173,164,165,140,186,211,153,196,200,203,199,202,204,207,207,210,214,211,201,190,193,191,181,166,148,139,156,178,172,155,146,134,141,159,135,194,199,183,203,203,207,207,210,214,205,191,166,158,156,153,162,156,150,133,128,135,118,124,131,128,126,141,154,214,212,130,199,205,208,208,210,208,196,178,164,164,154,141,143,153,149,122,117,111,142,165,185,161,158,155,155,158,151,140,206,204,207,205,197,186,181,180,177,160,118,113,139,165,160,143,139,126,146,164,168,147,131,113,106,116,154,200,207,203,199,191,186,182,181,173,176,158,101,105,121,130,127,123,129,115,110,123,106,102,107,141,178,203,213,207,207,196,191,188,188,188,173,162,162,161,136,95,76,65,63,66,81,82,94,117,147,180,204,220,217,211,208,208,207,193,190,187,181,173,167,165,164,169,158,111,70,44,77,139,145,169,190,218,226,222,216,212,211,210,210,209,208,191,184,176,170,165,160,158,157,155,134,108,78,64,79,204,239,227,226,220,215,216,216,215,213,213,211,210,208,186,175,168,159,153,148,143,138,136,125,95,66,70,67,62,200,228,219,220,217,218,216,217,215,214,213,212,211,173,176,159,155,143,142,138,133,132,127,97,61,64,89,57,103,237,220,222,221,220,218,217,216,214,214,214,213,67,140,163,155,147,140,138,139,142,140,100,59,54,79,74,101,234,224,224,223,222,221,219,217,215,214,215,212,30,40,129,164,153,146,135,128,126,114,89,69,62,51,43,136,240,224,226,223,222,222,221,219,217,216,215,214,34,25,37,136,160,148,138,123,109,95,81,78,74,55,48,75,224,229,226,224,224,222,220,219,218,217,216,215,28,30,17,52,140,131,121,110,102,86,78,76,76,63,48,81,226,229,227,225,225,224,222,220,219,218,216,215,25,21,22,18,69,107,93,78,75,48,50,73,65,80,154,196,234,226,225,226,225,224,224,222,221,220,217,216,18,17,20,21,9,22,73,128,44,35,47,58,75,197,249,234,231,230,228,226,227,224,223,223,222,220,217,217,8,12,18,27,0,20,197,204,34,44,57,112,207,241,230,231,230,231,230,226,228,226,224,223,223,221,220,217,10,7,27,14,37,207,244,231,164,156,197,237,239,231,233,232,231,231,231,227,225,226,225,224,224,222,221,217,42,25,12,46,218,236,227,232,241,243,240,231,230,232,232,232,232,231,230,226,226,224,224,223,222,222,219,216,25,21,0,130,246,223,232,231,230,230,231,232,231,232,232,231,232,231,230,226,226,225,224,224,222,221,219,216
23,120,125,128,133,136,137,140,142,144,145,147,148,148,148,150,150,149,148,148,147,148,146,145,146,145,143,142,141,121,126,130,135,138,139,141,143,146,148,148,150,150,151,151,154,151,151,152,151,151,149,149,149,147,146,145,145,122,127,133,137,139,141,143,145,147,150,152,153,153,153,154,154,153,151,154,159,155,150,150,151,151,149,147,146,124,130,135,139,141,144,145,148,151,152,153,155,155,155,154,157,161,149,120,125,152,156,154,153,153,152,149,148,127,132,137,141,144,146,148,150,151,154,155,157,157,157,165,166,167,150,144,111,131,146,154,157,155,153,152,151,130,134,140,143,145,147,151,152,153,157,158,160,160,183,162,158,185,117,124,136,132,77,126,164,155,155,154,152,131,137,141,145,147,150,153,155,157,158,161,158,178,180,142,109,116,50,93,99,76,87,154,162,159,158,157,156,134,140,144,147,149,152,155,157,158,160,163,160,191,168,158,48,89,141,168,163,153,166,165,163,161,161,159,159,136,140,145,148,152,154,155,159,160,163,164,170,193,170,168,71,121,184,163,169,170,164,165,164,163,163,162,161,137,141,146,149,153,155,158,161,163,164,161,173,184,168,166,128,149,165,148,106,148,170,166,166,165,164,163,163,137,143,149,152,155,159,161,163,164,176,170,159,157,160,177,176,179,172,149,60,88,184,166,168,167,165,165,164,139,146,151,154,157,160,163,163,169,194,175,152,137,144,155,144,140,130,115,64,76,186,167,170,171,169,168,165,141,146,151,156,159,162,165,162,176,198,177,145,111,119,166,172,163,147,123,65,60,183,170,173,173,171,170,169,142,147,152,156,160,163,166,164,188,198,180,145,120,117,131,136,143,158,135,65,40,179,175,174,173,171,171,170,142,148,154,157,161,164,166,169,198,201,184,161,159,162,142,111,95,105,96,50,35,173,179,175,176,174,171,171,144,150,156,160,162,166,165,177,204,198,181,161,160,144,159,141,117,101,63,40,26,76,161,188,176,178,174,172,146,151,156,162,164,167,169,194,202,200,185,151,138,105,139,160,123,90,50,30,41,82,75,152,187,177,177,175,146,152,158,162,165,163,181,207,204,197,162,97,86,81,74,113,141,90,35,27,41,73,36,23,168,183,177,177,147,154,159,163,166,166,201,213,201,173,148,111,64,38,27,143,171,72,35,20,38,51,33,7,107,193,176,179,148,154,160,165,163,195,218,207,189,159,145,115,68,36,103,152,128,54,23,29,47,50,32,17,132,190,178,179,149,155,161,162,173,219,214,200,173,157,145,102,60,39,86,87,68,33,12,41,60,46,31,121,191,182,181,180,151,156,163,159,199,223,206,193,172,157,132,97,54,14,19,23,39,34,28,44,43,57,152,196,184,184,184,182,152,157,161,173,221,214,205,183,162,146,123,82,48,23,39,50,58,52,44,26,97,179,194,184,187,185,185,185,152,157,158,214,220,201,189,169,152,134,104,68,45,34,58,66,66,49,35,124,200,193,187,187,187,187,187,186,151,153,178,232,205,188,174,153,135,114,91,64,43,41,62,59,42,25,139,206,191,191,191,189,187,187,187,187,162,154,198,223,198,179,165,146,124,106,85,62,38,39,54,31,39,151,202,192,194,193,191,191,189,188,187,187,22,106,226,203,191,166,139,134,116,91,73,46,30,24,27,75,175,206,195,195,194,193,192,192,191,189,189,188,0,92,203,186,184,149,139,126,76,58,36,10,8,66,137,200,201,193,195,195,194,193,193,193,192,190,188,189
7,184,190,195,201,205,207,210,213,214,217,219,219,219,218,219,219,219,219,218,217,216,216,215,213,212,211,210,209,186,192,197,202,206,208,212,214,215,217,220,221,223,222,221,221,222,220,219,219,218,217,217,216,215,212,212,211,187,193,199,205,208,211,213,216,218,219,221,222,224,223,223,223,223,222,221,221,220,219,218,216,216,214,214,213,189,196,201,206,210,212,215,219,221,221,223,225,225,225,225,226,225,224,224,222,223,222,219,218,218,216,215,215,192,198,202,207,211,214,217,221,221,224,225,227,228,227,227,227,228,229,228,225,220,220,220,222,219,218,218,216,193,199,203,209,213,217,218,221,221,226,226,229,232,233,232,228,224,217,214,191,212,244,195,219,224,221,218,217,196,200,206,211,215,218,220,224,225,227,228,228,223,212,206,209,205,192,193,178,201,222,164,213,221,219,223,219,197,201,208,213,216,219,222,224,224,223,217,204,188,165,179,196,201,176,163,153,146,166,171,232,244,169,221,223,199,204,211,215,218,221,217,195,190,191,190,189,180,170,152,157,142,143,169,172,170,178,193,220,214,146,221,225,199,205,211,216,222,227,209,189,191,183,172,174,178,163,148,142,161,196,217,197,183,175,156,137,154,199,229,224,200,206,211,218,231,219,201,197,190,158,159,183,198,178,172,161,160,178,184,162,138,125,142,179,216,233,227,227,201,206,217,225,213,209,209,205,168,125,148,163,167,153,151,149,127,133,123,129,158,198,234,239,234,229,228,227,202,214,224,218,215,211,200,204,179,134,131,115,103,94,95,105,117,148,193,225,242,242,234,233,231,231,230,228,219,225,221,222,219,201,196,193,196,172,122,95,69,124,186,194,220,243,247,241,236,235,237,237,235,233,233,231,228,223,218,213,204,197,198,198,196,169,129,103,96,121,216,255,244,242,241,240,239,238,236,236,236,235,235,234,228,220,207,200,194,190,182,178,171,148,123,96,102,97,79,185,252,241,243,242,241,241,239,238,237,236,236,235,221,207,198,190,182,177,171,164,161,150,121,88,92,117,96,108,250,245,245,243,243,242,242,240,238,238,237,236,212,207,190,185,175,172,171,169,169,167,127,88,81,104,100,118,254,245,245,245,244,244,243,242,241,238,236,235,122,185,188,183,176,173,168,167,169,158,121,94,93,76,79,87,203,255,244,246,245,244,243,244,243,240,238,236,56,79,158,191,182,176,166,157,146,128,110,106,103,90,78,71,178,255,245,248,247,245,244,244,243,241,240,239,66,52,58,149,190,174,163,150,139,122,112,105,108,91,110,155,238,253,249,250,249,248,246,245,243,244,242,240,59,57,50,55,146,157,139,126,121,100,80,95,99,100,236,255,252,252,252,250,250,248,246,246,245,243,243,241,54,51,50,44,62,107,105,111,97,65,64,79,112,218,255,249,252,253,252,251,250,249,248,247,245,244,243,242,48,45,43,48,41,26,52,217,181,89,122,168,239,255,252,254,254,254,253,251,250,251,249,247,246,246,244,242,34,39,42,48,43,36,197,255,251,244,251,255,255,254,255,254,254,254,254,253,252,252,252,249,248,247,245,244,75,39,37,53,39,184,255,242,249,254,253,252,255,255,255,255,254,255,255,254,254,252,252,250,249,247,245,245,63,70,49,36,89,254,238,246,248,250,252,254,255,255,255,255,255,255,255,253,253,251,251,250,249,247,245,244,28,52,50,26,120,255,238,245,247,249,252,253,254,253,253,255,255,254,253,253,252,251,251,250,247,245,245,245
18,70,73,76,80,84,90,95,101,107,114,120,125,129,132,134,136,139,143,144,147,150,152,154,156,158,159,160,162,70,74,77,81,86,91,95,101,108,115,121,126,131,132,134,137,141,144,145,148,150,152,154,156,158,159,161,163,71,74,78,81,86,92,95,101,109,116,121,127,132,133,135,137,142,145,147,150,152,154,156,157,159,160,163,164,72,75,78,82,86,92,96,102,111,117,123,128,133,135,136,138,142,145,147,151,154,156,158,159,159,161,164,165,72,75,78,83,88,93,97,103,111,119,125,129,133,136,138,140,149,144,135,145,156,154,151,159,163,163,164,166,72,75,78,82,89,94,97,104,111,120,127,129,138,140,133,143,177,136,113,105,157,159,128,117,158,165,166,167,73,75,79,81,88,94,99,107,113,122,126,129,183,146,116,147,164,142,136,140,178,158,122,94,104,162,167,168,73,76,79,82,89,95,99,106,113,125,127,152,199,154,123,160,161,147,151,157,158,136,127,112,83,133,169,170,75,77,79,83,90,97,100,106,128,167,130,130,187,155,143,136,148,138,141,143,130,122,132,125,104,100,170,172,75,78,80,84,90,96,100,104,186,184,147,118,156,169,144,119,115,125,114,114,96,136,140,134,120,90,136,175,76,78,81,84,91,96,99,116,203,191,167,139,118,178,146,119,94,151,108,79,82,152,151,150,137,108,89,155,76,78,81,84,91,96,98,141,172,183,179,152,104,138,150,119,81,143,130,91,56,135,150,163,150,119,95,93,76,79,81,86,92,97,97,153,145,146,165,133,94,90,129,101,72,98,103,80,70,136,169,178,155,125,102,84,77,78,81,87,92,96,95,176,167,134,147,96,81,62,90,82,57,59,66,103,169,177,167,164,147,123,107,92,76,79,81,85,92,95,96,190,173,145,150,85,74,51,74,76,45,40,110,184,189,175,164,145,127,113,103,87,76,79,82,85,92,97,110,201,174,144,135,90,72,46,71,70,50,96,187,202,194,173,153,131,109,98,94,94,77,79,81,86,92,96,107,216,192,167,151,123,95,80,80,82,108,178,204,203,190,161,142,120,99,90,85,128,77,79,82,87,92,96,106,218,203,183,164,139,121,122,116,126,175,202,205,197,174,149,130,111,94,86,85,163,76,79,82,87,92,98,104,217,209,190,167,146,135,138,139,161,194,200,196,181,158,137,119,103,91,83,109,178,76,79,82,87,93,99,102,212,208,191,170,156,150,147,154,178,193,196,183,162,148,128,110,101,91,80,146,180,77,80,82,88,93,98,102,194,208,196,179,168,162,159,166,179,183,183,164,144,133,117,103,94,88,94,175,182,78,80,83,89,95,99,105,167,207,201,194,181,167,159,163,167,166,163,148,132,120,107,96,90,83,136,181,181,78,80,84,90,96,99,107,139,206,205,205,190,171,155,145,145,148,144,139,121,107,99,92,85,90,171,181,182,78,80,84,91,94,100,109,116,194,201,197,188,171,150,137,131,136,134,131,115,100,95,90,76,129,179,181,183,77,79,84,90,95,99,110,116,158,195,178,171,161,144,132,129,131,134,132,118,102,95,86,77,163,180,182,185,77,80,84,90,95,99,109,117,129,186,173,157,146,131,129,133,121,126,128,116,100,92,80,95,176,179,182,185,77,80,84,90,95,100,111,120,124,166,157,143,144,135,144,145,122,118,126,116,99,91,76,112,181,180,182,184,75,79,84,89,93,100,110,119,125,150,166,151,154,144,141,143,125,109,120,115,99,87,72,105,182,182,183,184
1,221,222,223,223,223,225,227,226,228,228,228,226,212,223,227,226,225,224,223,223,222,222,221,219,218,217,216,215,224,225,225,226,228,229,229,230,230,233,236,230,187,175,235,229,231,229,228,228,227,226,225,224,224,223,221,218,227,229,229,230,231,231,232,234,234,221,216,241,205,130,158,180,233,234,231,232,231,230,229,227,226,225,225,223,229,231,232,232,234,235,236,236,238,214,149,226,220,120,138,156,185,246,231,234,232,232,231,230,228,226,227,225,231,234,234,235,236,237,239,239,239,231,150,197,226,128,147,181,133,242,237,237,236,235,233,232,232,230,229,229,233,236,237,239,240,240,240,242,240,242,163,166,233,152,159,195,124,222,246,238,239,237,238,237,234,233,232,233,236,238,239,240,241,242,243,232,230,249,182,146,214,152,168,214,137,200,252,239,241,240,240,239,239,237,235,234,239,240,240,241,242,244,247,211,167,248,199,128,198,154,157,212,144,188,255,242,245,243,241,241,241,240,239,235,240,242,243,244,244,246,248,227,146,228,203,121,205,181,127,215,163,177,255,243,245,244,243,244,243,242,241,240,241,244,246,246,247,247,250,231,149,212,225,134,181,192,124,211,194,168,255,245,247,246,245,246,246,245,243,242,243,246,247,247,248,248,252,236,153,200,236,139,138,177,165,207,168,153,250,251,250,249,247,247,248,247,246,246,245,249,249,248,251,250,252,240,167,161,228,140,142,168,170,192,145,142,145,182,255,248,248,248,248,246,246,246,248,249,251,251,253,254,250,248,183,136,208,166,172,162,173,186,177,152,119,125,238,255,251,250,249,247,247,248,248,250,252,253,254,255,251,245,199,175,189,164,174,162,193,218,176,128,168,156,180,255,250,252,252,249,248,247,249,252,253,255,255,255,255,252,219,186,177,157,170,173,198,208,182,181,235,202,153,247,255,253,253,253,251,250,250,253,255,255,255,255,255,255,225,182,162,154,166,177,207,215,218,210,195,214,147,193,255,251,253,253,252,253,252,254,255,255,255,255,255,255,238,189,149,156,170,182,222,224,246,244,207,177,127,131,255,255,254,253,253,253,253,255,255,255,255,255,255,255,255,208,157,159,173,201,220,230,240,233,206,173,121,115,253,255,255,254,254,254,254,255,255,255,255,255,255,255,255,236,184,154,176,210,227,244,247,230,204,181,117,145,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,255,215,169,170,200,235,255,249,233,220,179,109,186,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,255,235,189,179,197,236,255,252,246,217,163,107,226,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,250,202,190,196,231,250,255,245,199,142,121,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,250,251,215,190,189,220,244,244,215,170,116,154,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,230,237,217,198,190,200,216,206,169,131,105,224,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,224,226,219,204,199,177,179,184,151,104,169,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,240,233,216,198,194,165,164,170,132,106,246,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,235,205,189,190,174,165,150,110,141,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,244,232,211,210,187,173,141,101,165,255,255,255,255,255,255,255,255,255
15,93,103,109,111,114,120,126,131,134,138,142,144,147,150,153,156,157,160,161,163,163,165,165,166,167,167,167,167,95,104,110,112,115,122,128,133,137,140,143,145,148,151,154,157,159,161,163,164,166,166,166,167,167,168,168,168,96,105,112,113,116,123,129,134,138,141,143,146,149,153,155,158,161,163,164,166,166,167,168,168,168,170,169,169,97,106,113,114,117,124,130,134,138,142,144,148,151,153,155,159,161,163,165,166,167,168,168,169,170,171,171,171,97,107,113,115,119,125,132,136,140,144,146,149,152,154,157,160,162,165,166,167,168,169,170,171,171,172,172,172,100,108,114,116,120,126,132,137,142,145,146,149,152,155,159,161,163,165,166,166,168,169,170,171,173,172,172,173,101,110,115,116,122,128,134,138,143,146,149,153,158,162,163,166,168,169,172,173,176,176,172,171,171,172,172,174,102,112,116,117,122,130,135,139,142,144,143,136,130,134,140,145,150,149,142,136,137,154,170,177,179,178,177,175,102,111,116,120,124,128,128,126,126,128,122,114,110,108,110,111,118,125,118,115,102,92,102,115,135,153,169,178,104,112,120,128,125,129,123,109,108,104,93,103,118,118,114,104,117,137,130,129,118,104,97,84,74,76,87,109,106,114,119,105,90,87,74,58,63,62,59,64,75,74,69,70,105,116,116,114,106,105,111,102,89,79,73,76,107,115,118,118,111,97,93,103,119,131,139,134,128,119,108,88,100,101,106,89,92,100,122,109,96,84,79,86,108,114,118,122,131,137,143,148,151,152,156,160,163,171,159,125,116,99,90,75,91,112,132,116,107,95,88,96,108,114,118,122,127,133,138,142,146,149,153,156,159,156,133,139,111,60,70,43,101,143,136,118,117,107,100,100,108,114,117,121,127,134,138,143,146,149,152,155,159,147,134,117,104,38,42,29,119,154,138,116,117,109,101,95,109,115,117,121,127,133,139,143,146,149,153,157,152,145,144,103,60,34,43,20,114,158,135,113,102,96,90,81,109,116,117,122,128,134,140,143,146,149,153,157,155,130,146,126,57,36,42,27,118,146,131,107,85,79,69,67,109,116,119,122,129,135,140,143,147,150,153,157,163,151,140,143,99,53,84,125,130,126,127,95,74,67,60,66,109,116,119,122,129,135,139,143,148,150,154,158,159,166,150,142,129,121,126,119,112,103,83,60,54,49,53,57,109,115,117,122,129,135,140,142,147,151,154,156,160,166,152,130,135,119,86,90,78,61,65,106,100,101,118,137,110,116,118,124,131,136,141,147,151,156,158,161,163,146,115,105,111,97,71,61,49,38,42,152,192,184,187,185,86,91,94,97,101,104,110,113,116,121,126,128,144,134,107,88,71,70,55,40,41,36,39,85,185,173,179,181,75,76,76,78,81,79,78,77,79,79,81,78,102,118,77,57,49,65,76,59,57,79,70,81,107,108,112,116,81,82,84,86,86,87,87,87,89,91,92,91,93,89,67,72,84,92,93,92,91,92,93,90,87,88,87,87,81,81,83,84,85,85,86,87,87,89,89,91,90,88,94,99,96,93,91,92,93,92,92,93,94,94,95,95,81,83,84,85,86,86,86,87,87,87,88,88,90,90,91,93,94,96,93,92,91,91,94,94,94,95,96,96,82,82,85,87,87,88,87,89,89,89,89,90,91,91,91,90,90,93,93,92,91,92,93,94,94,95,95,97,81,82,85,86,87,87,88,89,89,90,90,91,91,92,92,91,90,92,92,93,93,92,93,94,93,93,95,95
13,141,143,149,155,161,165,168,171,173,176,180,182,185,187,188,190,192,193,193,193,194,195,194,194,195,194,193,193,142,145,151,157,163,167,171,173,175,177,181,184,187,189,191,191,192,191,194,195,196,196,196,196,197,195,195,195,143,147,153,160,165,169,172,175,178,180,184,187,188,190,195,206,204,171,157,188,192,197,197,199,199,197,197,196,146,149,155,162,166,171,174,178,181,183,186,189,191,191,197,222,214,161,112,116,145,161,193,199,199,198,199,198,146,151,156,162,168,172,175,179,182,186,187,193,194,164,159,176,208,161,106,89,139,116,138,202,200,200,200,199,148,152,158,163,169,172,175,180,183,186,186,216,211,174,137,134,190,190,126,97,146,110,113,202,202,201,201,200,150,154,159,165,171,175,178,181,188,186,150,181,225,205,160,101,138,200,136,98,156,115,127,205,204,203,202,202,150,154,160,167,173,177,180,184,212,202,151,114,187,222,179,112,77,148,126,97,178,125,152,208,205,205,205,204,151,156,162,169,174,178,181,206,214,216,181,119,118,215,176,115,52,67,80,91,169,124,181,208,206,206,206,206,152,157,165,171,175,179,195,206,180,211,194,133,81,185,164,108,51,51,86,121,138,106,150,210,208,208,208,207,153,160,168,173,177,183,217,205,165,186,174,121,71,155,161,116,54,80,138,151,132,115,112,193,211,209,209,208,156,162,171,176,179,194,216,188,153,168,150,104,55,130,178,129,77,155,181,159,121,102,104,150,213,210,209,209,158,165,174,179,181,209,213,185,147,144,136,100,45,97,178,124,131,198,183,154,120,100,95,133,215,212,211,212,159,167,176,181,183,216,224,198,162,123,125,94,56,96,181,167,194,195,171,141,115,94,83,164,215,213,215,214,162,171,180,185,187,223,229,204,170,127,108,105,132,179,213,215,209,184,156,129,108,85,98,203,215,215,216,215,167,175,183,189,192,230,236,211,174,153,150,153,176,202,215,212,201,173,145,122,98,75,139,218,216,216,216,216,170,178,186,192,197,232,235,222,185,175,169,158,193,200,214,206,187,162,138,114,89,73,176,220,217,218,217,216,173,181,189,195,200,225,232,229,200,187,175,166,201,206,205,194,170,147,124,104,78,102,212,221,220,220,219,218,176,184,193,198,201,215,232,229,210,193,177,172,195,209,193,174,152,133,117,93,84,181,225,222,222,221,222,221,179,187,195,201,204,208,226,223,216,199,185,177,184,201,187,161,140,122,108,88,164,226,225,224,224,224,224,223,182,189,197,202,207,205,220,223,218,210,201,183,178,192,179,149,125,112,94,137,224,228,227,227,227,225,226,225,183,193,201,206,210,205,214,225,216,212,203,180,172,179,165,135,110,102,107,208,231,229,230,230,229,225,199,153,186,196,203,208,211,209,213,216,192,193,192,177,166,169,151,130,107,91,166,232,232,232,232,233,224,156,81,56,188,197,204,209,212,212,214,218,190,199,201,191,167,161,145,132,104,97,207,233,234,235,236,224,145,72,49,36,189,197,204,208,212,211,211,229,202,211,210,194,167,153,144,132,102,107,221,234,236,232,190,120,65,59,58,30,189,198,205,210,213,215,210,232,219,227,218,197,171,153,143,132,99,114,228,234,237,172,83,52,37,55,64,41,192,201,208,212,215,217,193,229,227,226,214,191,172,156,144,130,96,106,226,238,207,100,64,57,33,36,57,53,193,202,209,213,216,214,134,215,224,220,206,187,175,158,147,122,93,80,222,234,134,75,59,56,38,22,47,57
4,189,189,190,190,191,192,191,191,192,192,192,193,193,193,193,193,193,193,193,193,194,192,190,190,191,190,189,188,191,191,191,191,192,193,193,193,193,193,193,194,193,193,193,193,194,194,194,194,193,193,193,192,192,192,191,189,192,193,193,193,193,194,194,194,194,194,193,194,193,192,193,194,194,193,193,195,195,194,194,193,193,193,192,191,193,194,195,194,195,195,194,195,195,195,194,196,197,187,178,184,191,180,173,185,195,195,195,195,194,194,194,192,194,195,195,195,196,196,196,196,196,196,192,195,208,198,169,164,192,178,149,148,178,180,186,195,196,196,195,194,195,195,196,197,197,197,198,198,199,206,201,185,187,209,182,155,195,192,150,127,160,151,144,179,197,196,196,195,196,196,196,197,198,199,199,199,205,215,212,185,160,196,186,147,189,198,156,145,177,153,115,142,193,198,197,197,197,198,199,199,200,200,201,201,208,204,207,186,149,177,184,137,172,192,149,152,187,160,113,125,190,200,199,198,198,199,200,200,201,201,201,205,209,185,192,184,140,161,186,147,156,174,145,162,198,172,120,132,194,201,201,199,198,200,200,201,202,202,202,209,201,164,166,180,139,144,183,175,169,172,174,193,205,177,131,141,196,202,202,201,199,200,200,201,203,202,205,212,201,172,156,159,128,118,145,166,174,178,188,196,191,169,143,131,184,203,203,202,200,200,200,201,203,204,211,210,194,171,148,128,103,101,115,123,146,158,166,174,167,160,154,123,160,202,204,203,200,201,201,202,203,205,212,202,176,151,134,116,99,104,114,106,127,136,137,140,147,168,166,129,135,194,204,204,200,201,202,203,204,206,216,205,174,140,118,106,101,112,118,125,147,148,130,121,156,193,183,147,121,173,205,205,200,201,202,203,204,208,222,216,186,147,115,98,102,117,124,150,169,166,152,158,179,200,196,166,122,145,201,206,200,201,202,203,204,210,224,221,194,152,116,101,104,121,140,169,175,181,187,198,200,198,195,166,122,125,192,207,200,200,201,202,203,210,225,224,201,155,120,113,109,120,147,171,183,198,204,203,200,188,173,149,120,117,184,206,200,200,202,202,203,211,225,223,203,159,132,130,123,135,161,180,197,205,204,197,189,174,149,128,112,129,190,206,200,201,201,202,203,212,223,220,200,168,153,142,136,166,191,204,211,208,199,187,174,156,131,109,115,166,202,207,200,201,201,202,203,212,223,220,205,183,167,150,143,182,208,214,215,205,190,175,160,140,116,105,147,197,208,208,201,202,202,203,203,208,222,221,214,196,175,162,150,180,210,214,211,196,176,162,148,126,107,128,186,207,209,208,202,202,202,203,203,202,217,222,218,202,183,169,159,180,208,208,200,184,163,148,132,112,111,167,206,210,209,208,200,201,202,202,202,199,210,218,211,196,184,171,164,177,198,197,186,170,151,136,118,104,138,197,211,211,210,209,171,174,177,178,180,180,202,217,204,190,185,175,166,174,185,184,171,153,137,126,109,112,173,207,210,209,209,208,117,118,119,121,123,129,184,214,202,193,190,181,169,173,181,178,163,140,125,115,101,118,160,172,175,177,179,180,103,102,102,103,103,108,175,214,204,198,194,184,171,173,182,179,157,127,112,103,97,103,112,114,117,127,148,160,103,103,103,104,104,108,175,218,206,200,198,190,173,170,181,174,144,114,101,95,100,104,107,118,145,166,187,203,102,103,104,105,105,108,174,219,208,202,204,199,175,164,176,164,130,106,96,97,109,118,137,169,203,202,186,196
14,161,164,163,164,166,166,167,167,168,167,167,166,166,168,168,167,169,168,169,167,168,167,166,167,166,164,164,165,163,164,165,166,167,168,168,168,171,168,168,168,177,167,164,171,170,168,169,169,169,170,169,168,168,167,166,165,164,165,167,167,167,170,172,173,171,169,183,184,176,125,124,182,171,172,172,171,171,171,171,171,171,169,168,167,165,167,169,169,170,171,172,170,171,200,190,152,117,99,87,144,167,166,172,172,172,172,172,170,170,170,169,168,167,168,170,172,173,173,168,177,208,202,134,90,87,81,92,127,153,117,127,178,173,173,173,173,171,171,171,171,168,169,171,172,173,170,179,219,202,156,103,77,93,74,83,111,126,90,133,181,173,176,176,174,173,173,173,172,171,172,174,173,174,168,209,219,155,99,76,77,83,69,74,79,97,84,141,180,179,177,178,178,176,176,174,173,172,174,174,175,176,172,220,214,132,69,54,58,71,90,101,80,111,142,135,121,160,182,178,179,178,177,175,175,173,173,174,177,175,185,225,203,129,78,64,68,61,74,81,62,75,120,127,86,159,186,178,181,180,178,177,176,173,174,176,179,174,196,225,181,105,69,74,86,59,68,77,86,88,94,85,81,158,178,183,181,180,179,178,179,177,177,178,181,173,208,225,187,121,72,75,88,71,81,95,104,95,81,106,113,116,107,173,186,181,182,181,180,178,179,181,182,177,219,225,198,143,97,75,70,84,88,63,77,86,121,122,111,106,121,136,178,186,184,182,181,179,181,183,179,188,225,224,196,141,104,84,66,94,86,112,157,176,193,185,168,143,166,125,172,190,185,185,183,179,180,182,179,196,225,225,197,140,101,88,73,86,74,172,199,188,185,189,179,151,162,123,180,188,185,185,183,180,181,186,181,199,225,225,203,154,109,82,81,69,111,196,185,188,187,193,163,146,158,119,184,188,186,186,185,181,182,186,182,202,225,225,207,161,118,82,75,75,180,193,189,190,188,196,160,146,159,109,170,194,187,187,187,181,185,188,182,204,225,225,210,165,122,89,62,103,199,187,192,192,190,200,149,129,153,114,137,199,187,189,189,183,186,189,183,205,225,225,209,170,128,97,56,143,210,191,195,191,197,171,139,148,147,118,127,199,189,190,191,186,188,188,183,207,225,225,212,172,127,105,62,105,172,186,185,198,181,123,143,154,141,107,167,198,190,191,190,186,188,189,185,210,225,225,212,169,131,112,82,59,77,96,102,131,125,125,143,146,121,142,202,192,192,192,191,188,188,192,187,215,225,225,210,168,145,127,93,73,84,88,105,114,116,125,139,128,119,192,198,194,194,194,193,188,190,193,189,219,225,225,209,173,161,138,107,77,94,107,117,123,127,119,124,108,172,203,195,197,195,195,193,190,193,193,190,220,225,225,212,186,170,139,111,90,97,114,119,122,124,120,95,138,206,196,199,197,196,197,196,191,193,194,194,222,225,225,216,198,172,140,113,98,94,113,118,117,121,109,110,194,200,199,199,198,197,198,199,193,194,195,197,225,224,225,219,203,172,136,108,99,93,109,114,112,112,107,187,203,198,200,200,199,198,198,199,192,194,193,199,225,223,224,219,199,159,113,93,91,92,108,108,116,95,161,210,198,201,200,200,200,199,199,199,196,199,199,215,225,225,225,211,180,125,80,81,81,89,98,106,102,126,207,201,202,202,203,201,201,200,200,200,181,166,146,150,148,130,124,104,88,70,54,51,62,83,91,92,114,196,204,203,205,203,204,204,201,202,201,201
8,114,120,125,131,136,141,144,148,151,154,157,159,160,161,162,163,164,164,164,164,165,164,164,164,164,163,163,163,117,123,128,134,140,145,149,152,154,158,161,163,164,165,165,165,166,166,167,167,167,166,166,165,165,164,164,163,122,127,132,138,145,150,156,164,151,158,166,168,169,170,170,170,170,170,171,171,170,170,169,168,167,167,166,165,125,131,136,142,149,154,164,176,139,149,171,174,175,175,176,176,175,175,176,175,175,174,173,172,172,171,170,169,128,134,139,146,153,159,172,186,135,142,175,179,180,181,182,182,181,181,181,180,180,179,178,177,177,176,175,173,132,138,143,150,157,162,177,191,136,140,180,184,185,186,187,187,187,182,183,187,177,173,181,183,182,181,180,178,136,141,146,154,161,166,180,193,140,141,183,189,191,189,184,191,194,165,161,190,172,148,170,187,187,187,186,183,140,144,150,158,165,171,184,199,149,140,184,194,203,201,176,185,196,163,146,177,170,136,144,183,192,192,190,189,142,147,154,162,170,175,188,205,165,148,183,201,220,225,206,192,180,170,173,184,153,115,117,170,195,196,194,193,145,150,158,166,174,179,189,209,185,168,188,210,220,221,220,192,174,174,178,176,151,111,95,155,198,199,198,197,148,153,161,170,177,183,190,209,196,186,201,213,200,188,212,194,167,162,153,154,157,125,99,160,202,202,201,200,151,156,164,173,180,186,192,210,208,193,204,208,190,163,182,192,147,117,114,153,173,143,116,170,206,206,204,203,154,159,168,177,184,189,195,213,217,185,188,190,176,159,161,183,144,95,92,167,195,163,124,153,204,209,208,206,157,162,170,179,186,192,197,214,223,179,161,170,155,148,152,174,159,118,105,172,209,180,130,124,190,212,211,209,159,164,173,182,188,194,200,214,227,193,147,147,148,142,157,178,172,144,165,206,208,179,133,110,173,214,214,213,160,166,176,184,191,197,203,215,234,211,160,136,150,149,175,202,190,182,210,218,192,157,125,112,175,217,217,216,162,169,178,186,193,199,205,215,237,224,181,142,140,152,184,218,218,225,228,207,176,141,113,122,194,221,220,218,165,170,180,189,195,201,206,216,238,233,201,160,140,152,180,221,232,237,225,196,161,128,105,145,213,218,207,193,165,171,181,190,197,203,208,217,237,239,214,179,155,156,174,214,234,233,213,182,148,117,103,156,180,154,126,102,166,172,182,191,198,204,209,216,233,239,223,193,173,165,169,201,228,227,202,167,136,108,89,99,88,70,63,61,167,173,184,193,200,206,211,216,228,236,228,204,188,176,162,186,212,217,192,156,127,100,71,54,51,51,49,55,168,175,185,194,201,207,212,216,223,232,230,213,196,182,159,174,195,203,180,145,117,91,61,44,43,50,45,46,168,175,186,195,201,207,212,217,218,225,228,216,200,181,155,156,180,184,165,133,106,76,54,43,36,46,49,43,167,175,186,195,201,206,212,216,218,219,227,219,201,178,152,141,164,167,150,123,95,56,41,47,37,38,48,47,168,176,187,195,201,206,211,217,219,218,229,225,203,177,152,135,147,155,138,113,82,39,27,43,44,35,40,47,169,177,187,195,202,207,212,217,220,218,228,220,196,174,153,134,136,142,128,101,70,40,19,31,46,40,35,43,169,177,187,195,202,207,212,217,218,211,227,210,186,176,159,137,129,132,123,89,57,45,21,21,41,46,36,36,166,174,183,191,198,205,211,216,210,196,228,211,191,187,167,139,125,126,118,78,44,46,26,16,34,47,42,36
21,166,174,180,181,185,190,195,199,202,206,207,209,210,212,214,214,214,219,216,214,214,212,212,210,208,208,208,207,167,175,181,183,187,191,196,200,203,207,208,209,212,215,216,217,219,185,209,218,215,214,214,214,213,210,209,208,168,176,183,184,189,194,198,201,206,210,211,211,214,218,216,225,239,127,160,227,213,216,217,215,212,210,211,212,169,177,183,183,189,195,200,203,205,210,211,213,216,219,217,230,236,130,160,231,219,218,218,215,215,215,214,214,171,179,184,184,191,196,202,205,206,209,212,215,217,219,217,235,228,137,162,232,219,220,220,202,159,205,218,213,173,180,184,186,194,199,202,208,208,211,215,217,218,220,219,241,227,139,165,235,222,223,218,185,116,190,224,215,173,181,186,189,193,199,203,209,211,215,217,219,221,223,221,242,227,148,166,235,223,222,215,176,124,213,220,219,172,181,186,188,193,199,205,208,213,216,218,220,222,226,222,241,224,150,159,236,223,222,209,160,141,228,219,220,173,183,188,189,195,200,207,210,215,217,219,221,224,226,222,244,225,155,146,238,225,221,207,145,174,232,221,222,174,183,187,190,198,202,209,213,216,219,221,223,225,227,222,255,236,151,152,239,223,213,196,129,202,229,223,222,175,185,190,192,199,205,208,212,216,219,221,224,224,228,227,255,223,142,165,241,215,213,169,132,226,226,224,223,176,188,192,193,200,205,208,213,216,219,221,225,228,216,228,248,195,127,164,240,217,216,139,165,239,225,227,226,176,188,193,193,200,206,209,214,218,221,222,236,210,166,177,204,152,111,166,235,226,198,123,206,237,227,228,227,178,189,193,194,200,206,210,216,221,223,224,234,208,159,141,116,114,120,179,218,215,162,133,235,233,229,230,229,178,189,193,195,202,207,211,217,220,222,230,232,222,212,186,142,95,129,168,185,183,126,169,245,231,233,233,231,179,189,193,196,204,208,213,219,223,222,240,255,239,255,224,168,106,106,129,144,149,113,208,243,233,235,234,232,181,192,195,196,205,210,214,219,221,228,231,219,237,247,208,143,114,103,112,126,125,126,235,239,235,235,235,233,182,190,194,196,204,209,216,220,221,239,219,176,230,186,195,161,128,113,102,112,108,145,245,237,236,236,235,235,181,190,193,198,204,210,216,222,222,240,246,203,167,114,183,192,145,117,110,105,101,149,249,239,239,237,236,235,182,192,194,198,205,211,216,222,222,243,230,170,144,125,151,209,165,134,116,112,99,139,250,241,240,239,237,237,183,192,193,198,205,212,217,223,223,253,227,191,197,160,192,242,179,164,132,114,105,144,249,242,241,240,238,238,184,191,193,198,206,212,218,224,225,255,233,217,188,176,255,251,186,174,140,120,109,151,251,243,242,242,242,239,184,191,195,200,207,213,219,225,226,255,255,224,176,226,255,227,178,162,146,127,113,158,252,244,245,244,244,241,184,190,194,199,205,212,218,224,225,255,255,207,191,234,255,218,188,154,146,133,113,179,254,243,245,244,242,240,182,189,192,197,203,212,217,220,221,254,236,200,206,223,255,218,203,167,130,130,112,192,252,242,244,243,240,240,182,189,191,196,205,212,217,221,222,245,217,224,216,210,255,217,189,169,134,130,118,202,253,243,244,243,242,241,182,190,191,196,205,213,219,223,227,234,225,255,214,218,248,203,170,149,134,127,121,217,253,244,245,242,243,242,182,190,192,197,204,212,218,223,226,229,235,242,202,196,229,190,154,135,129,121,121,228,250,244,245,244,243,243
11,125,129,131,135,137,139,141,143,143,144,144,143,143,144,144,145,143,143,142,140,140,138,138,136,134,131,130,129,127,130,134,137,138,141,143,145,145,145,145,146,145,147,147,145,144,144,143,143,141,140,138,137,136,134,133,133,130,133,136,138,140,143,145,147,149,148,148,147,153,124,138,149,145,145,144,143,142,142,141,139,138,135,137,113,133,136,138,142,143,146,147,149,151,151,152,144,175,116,102,158,147,148,147,145,144,145,142,140,139,139,138,51,136,140,141,144,147,149,150,152,154,153,154,146,185,126,86,160,149,151,150,148,147,146,144,143,140,147,103,23,138,143,144,147,150,152,152,155,156,156,156,149,194,115,84,163,152,152,151,150,149,149,146,144,142,149,68,27,140,143,146,151,153,155,156,158,159,163,155,163,216,104,97,166,154,155,154,153,151,149,149,148,149,144,52,33,143,148,151,153,156,158,159,158,161,152,169,157,190,101,113,170,157,158,157,155,155,153,152,152,151,151,78,45,145,150,154,155,158,161,156,183,172,91,151,126,77,124,85,147,166,160,160,158,158,155,156,154,151,159,103,46,148,151,155,157,162,157,182,208,182,136,74,105,65,89,70,118,174,161,162,161,160,157,158,158,155,160,128,43,150,154,157,161,160,175,221,163,169,168,89,77,73,100,79,124,174,164,164,163,163,162,161,159,158,157,157,66,152,157,160,160,168,213,191,121,116,163,87,68,65,102,81,129,177,166,167,166,166,165,162,161,161,158,161,113,154,158,162,158,197,213,153,113,133,146,55,74,65,94,75,140,178,170,170,169,168,167,165,165,162,160,162,137,156,159,164,160,210,201,137,86,110,115,50,76,61,88,67,159,178,172,171,171,170,168,166,165,165,162,165,129,158,161,166,161,213,205,156,105,60,63,77,57,68,85,78,179,174,175,172,171,173,172,170,170,167,164,165,153,159,162,166,166,223,204,148,93,54,38,90,48,97,91,53,163,184,176,179,179,171,163,156,155,167,172,165,164,160,163,166,174,231,201,146,100,65,45,59,43,96,82,34,77,172,174,159,135,121,113,110,97,87,139,172,164,163,168,166,181,230,196,149,112,76,57,60,61,80,82,79,77,86,102,105,121,128,110,85,81,62,105,177,165,164,169,168,181,225,192,150,114,83,62,65,105,131,131,119,108,89,97,115,110,88,74,104,151,162,165,171,168,166,170,171,184,225,195,158,121,89,67,77,128,128,117,111,107,91,80,74,85,125,152,181,183,179,174,171,170,167,172,171,190,223,199,168,125,101,78,92,122,121,112,97,92,68,61,117,178,188,185,180,177,177,175,172,170,168,175,168,204,225,200,165,123,103,84,92,106,110,101,83,63,88,160,193,186,181,181,181,179,179,176,174,172,171,172,175,224,215,185,147,111,92,84,93,92,98,91,60,117,190,192,185,186,185,184,182,180,180,179,176,174,172,172,214,225,201,172,134,104,87,88,92,83,76,66,130,199,189,187,187,188,186,185,183,182,181,180,178,175,167,185,229,213,187,164,130,108,94,87,85,65,97,168,200,191,189,189,188,187,186,186,185,184,181,180,179,176,166,199,226,207,161,131,122,107,90,81,59,90,192,200,193,193,192,191,190,190,188,186,186,185,183,182,180,178,170,212,225,198,139,108,102,95,79,66,70,178,199,193,195,194,192,192,190,190,189,187,187,185,185,183,180,178,185,221,220,184,116,101,95,86,70,56,146,206,197,198,197,196,194,193,192,190,190,189,188,187,185,183,182,180
5,171,173,174,178,179,180,179,180,180,178,191,140,151,180,177,177,176,174,175,175,172,171,170,169,169,96,45,48,173,175,176,179,180,180,182,182,182,180,205,119,119,184,179,178,177,179,169,158,175,172,173,177,137,46,55,71,175,177,179,180,182,183,184,184,186,186,205,110,135,186,181,180,178,186,143,103,179,175,175,169,81,41,58,80,176,180,181,182,184,185,186,185,169,197,187,100,163,187,182,181,180,166,102,115,181,176,178,145,54,46,59,74,177,180,183,184,186,188,191,199,105,190,170,98,180,187,185,185,162,126,88,167,181,178,181,116,48,60,76,84,179,181,184,186,188,192,190,205,108,164,165,104,189,189,189,171,133,89,139,185,181,180,182,129,60,71,75,81,181,184,186,188,190,192,191,213,136,135,148,114,194,192,168,138,106,112,188,185,182,180,184,150,71,74,72,66,182,185,187,189,193,194,194,203,149,119,119,134,199,167,124,110,93,170,191,186,184,182,183,170,79,61,55,57,185,187,190,191,194,195,194,209,165,107,97,152,187,124,98,85,149,192,188,187,186,184,185,187,107,38,40,59,186,188,191,192,194,196,195,216,185,113,109,138,151,105,88,117,197,192,190,188,188,187,187,189,136,48,46,45,188,190,192,194,198,198,198,211,184,114,110,113,119,103,86,156,199,194,190,189,189,188,187,189,165,126,126,88,190,192,193,197,199,199,200,203,180,117,93,89,95,94,96,189,198,185,189,193,193,191,189,189,175,99,160,159,192,194,196,198,200,201,201,202,188,140,98,88,78,79,128,192,148,118,129,184,196,193,191,189,173,117,173,137,192,195,197,200,201,203,202,200,199,160,102,82,79,75,107,115,104,119,124,135,164,190,192,193,189,155,112,117,193,195,197,200,202,203,204,201,209,181,127,88,79,80,80,89,101,100,130,151,144,158,163,164,173,186,132,153,194,197,199,200,202,204,205,205,218,204,164,107,80,80,88,78,77,82,121,124,143,154,147,116,115,170,174,170,194,198,200,202,206,206,206,207,219,216,181,117,83,76,83,74,120,177,192,162,148,128,144,141,125,97,176,176,196,199,201,203,206,207,207,207,224,226,184,122,87,74,66,122,212,204,204,196,158,155,160,137,115,127,184,122,196,199,202,205,207,208,209,208,228,232,189,130,91,70,53,98,163,209,192,142,140,156,129,108,168,194,194,151,197,199,202,205,208,209,210,210,227,234,192,135,95,64,62,76,85,157,124,131,145,118,87,166,199,193,192,186,198,200,203,206,208,209,209,214,230,231,189,135,97,63,65,79,86,78,101,131,116,95,156,199,196,195,193,192,198,201,203,207,208,210,209,214,234,227,184,135,97,65,68,84,90,93,102,109,102,176,204,198,196,196,193,192,199,200,202,205,207,209,207,214,233,222,174,130,97,68,72,93,96,98,90,90,174,205,201,199,195,194,192,190,199,202,203,206,208,209,207,216,228,210,166,131,97,66,76,98,102,96,84,163,205,200,201,199,196,194,193,192,200,202,204,207,208,209,203,223,227,203,166,136,94,65,71,97,103,87,117,209,202,201,201,200,197,194,195,193,200,201,203,206,209,203,209,233,226,198,167,136,95,72,73,98,99,77,169,206,202,202,201,200,197,195,195,193,200,202,205,207,208,196,228,235,219,192,170,134,90,74,83,98,81,113,206,204,202,202,201,199,197,196,195,192,200,202,206,210,199,202,237,230,206,187,168,127,86,75,85,86,85,188,208,205,202,201,201,200,199,197,196,184
14,181,182,182,183,184,184,184,184,184,184,182,182,182,181,178,178,176,175,174,173,171,170,168,167,165,163,161,159,183,183,184,184,186,187,187,187,187,186,186,184,183,183,181,180,179,177,175,176,175,172,170,169,168,167,165,163,185,186,186,188,189,190,190,190,189,188,188,187,186,184,183,181,181,179,177,177,175,174,173,172,169,167,166,164,186,188,189,190,191,191,191,191,191,191,189,188,190,185,183,182,182,181,179,178,177,176,174,174,172,168,167,166,188,189,190,191,191,192,194,193,193,195,194,188,178,190,191,192,185,183,182,181,179,177,175,175,173,172,169,167,191,192,192,194,194,195,197,196,193,177,166,157,105,120,129,160,183,189,188,182,181,180,177,175,176,174,170,168,192,193,194,196,196,197,198,190,166,143,117,88,59,69,92,100,126,142,168,187,183,182,180,178,178,175,173,170,193,194,195,196,197,197,198,186,151,104,70,58,62,56,75,91,104,84,122,200,183,183,181,179,177,177,175,172,194,196,197,199,198,193,186,162,114,51,44,48,49,45,50,54,74,56,77,168,189,183,183,181,178,177,176,174,195,197,199,201,200,181,167,128,71,50,41,42,47,47,50,49,58,70,69,78,182,187,185,183,182,180,176,175,197,199,200,200,198,175,149,82,52,56,49,47,48,43,46,48,49,68,61,93,198,187,186,183,182,180,178,176,200,200,200,200,201,183,153,77,49,47,48,54,46,70,170,153,159,81,62,72,157,195,187,185,183,182,180,178,199,202,203,202,202,184,154,89,46,42,44,54,41,148,217,205,211,182,114,78,87,121,175,188,182,182,181,178,201,202,203,203,201,184,152,84,54,57,48,35,118,211,200,200,197,205,182,102,107,83,147,196,183,183,183,181,202,202,203,205,201,190,156,92,67,64,54,60,201,206,205,202,202,199,127,108,107,82,167,194,186,185,183,183,202,204,205,207,202,193,167,114,80,61,49,76,208,204,205,203,208,162,102,109,90,94,196,190,188,186,184,183,203,206,207,206,198,191,173,120,88,62,40,107,225,205,204,208,194,106,94,103,70,136,203,190,190,188,186,184,204,206,208,206,194,194,172,128,94,62,46,73,177,206,214,209,141,97,86,88,56,178,197,192,191,189,187,184,203,206,208,205,195,191,170,130,92,63,59,55,67,94,170,148,96,106,97,56,128,204,192,194,192,191,188,185,204,206,208,204,194,198,174,129,100,69,58,64,73,75,80,78,89,99,72,106,206,197,195,192,191,191,189,186,205,206,210,202,194,203,172,128,99,71,55,64,74,82,87,80,84,86,83,198,201,197,196,193,192,190,189,188,206,207,211,198,196,200,165,123,102,75,55,65,74,78,87,88,76,58,168,211,199,199,197,195,193,191,189,188,207,208,211,197,197,194,161,122,107,79,56,64,77,82,85,87,59,108,212,200,200,200,198,196,193,191,190,188,206,208,210,196,199,186,154,125,109,80,56,67,82,87,88,69,77,207,205,203,201,201,199,198,196,193,191,189,208,208,210,195,193,173,148,120,105,78,54,67,83,83,80,45,140,220,203,206,203,200,199,198,197,193,190,189,208,209,210,194,185,170,145,118,101,78,56,66,79,79,58,74,210,207,206,206,205,201,200,198,196,195,192,189,208,211,208,195,179,168,139,111,93,74,57,64,72,67,47,176,218,207,207,206,205,202,200,199,197,195,193,190,208,209,208,194,172,162,134,108,85,69,55,60,60,45,150,223,208,210,208,206,204,202,201,199,197,194,192,190
7,96,106,119,143,155,163,169,172,173,177,179,181,182,183,184,185,186,185,184,183,181,181,180,178,176,175,172,171,96,107,121,145,156,164,170,173,175,179,181,183,184,185,187,187,187,187,186,185,184,183,182,180,178,177,174,173,98,108,123,146,157,165,171,174,177,180,182,185,186,187,188,189,190,189,188,187,186,185,184,182,180,179,177,175,99,109,124,147,158,166,172,175,178,181,184,186,187,189,190,191,191,191,190,189,188,187,185,184,183,182,180,177,101,111,125,148,159,167,173,177,179,183,186,187,188,189,190,192,192,192,192,190,189,189,187,186,185,183,181,179,102,111,127,149,160,168,174,178,180,183,187,189,190,191,192,193,194,194,193,192,192,191,190,189,186,184,182,180,102,112,127,150,161,169,175,178,180,184,187,189,190,192,192,191,190,187,182,174,174,175,183,190,188,186,185,183,103,113,128,150,161,169,176,179,180,182,182,181,173,165,157,138,139,142,134,131,163,169,149,191,190,188,187,184,104,113,130,151,162,170,174,162,153,148,151,149,137,131,127,113,121,115,115,117,125,125,138,181,190,189,187,185,105,114,131,151,161,174,164,133,131,136,137,135,129,121,120,116,114,120,119,116,112,108,115,138,152,190,188,186,105,115,132,154,172,174,153,120,110,110,116,125,134,138,136,122,104,123,120,108,102,97,107,125,125,188,189,187,105,115,141,170,171,162,152,138,133,136,145,144,140,134,125,106,98,106,102,94,94,95,100,120,158,192,190,188,106,134,171,172,165,163,149,132,126,129,135,126,122,115,102,95,107,128,148,164,178,184,189,193,195,194,191,189,135,177,176,171,166,154,134,100,100,107,100,87,82,91,146,177,193,201,202,201,201,200,200,198,197,195,192,190,180,181,174,170,152,136,119,92,88,79,65,59,63,65,76,140,203,203,202,202,202,202,201,200,198,196,193,191,176,175,173,158,142,132,124,113,92,76,76,77,75,71,66,94,202,203,204,203,203,202,202,201,199,195,195,192,174,173,160,140,131,127,135,135,101,76,76,77,76,73,69,76,192,205,204,204,204,203,203,201,199,196,194,192,170,156,136,125,123,119,121,113,83,69,60,63,70,71,63,74,182,205,205,205,203,203,202,201,199,197,195,193,149,134,127,124,120,109,101,92,78,65,65,78,83,77,83,176,203,206,205,205,203,202,202,201,199,197,195,193,132,129,123,116,106,94,89,95,94,78,76,79,78,83,151,201,203,203,203,203,202,202,201,199,197,195,194,191,128,120,108,102,98,96,99,106,94,77,84,116,151,183,200,202,203,203,202,202,201,201,200,199,197,195,193,189,119,112,107,106,101,94,91,89,81,109,170,193,197,200,202,202,202,202,202,201,202,201,200,199,197,195,191,188,91,89,90,91,91,87,89,114,153,182,192,195,197,200,201,201,202,202,202,202,201,201,199,198,196,194,192,187,65,58,40,65,136,146,164,176,182,184,188,191,193,194,196,197,197,196,196,195,194,192,191,189,187,185,179,143,62,52,18,66,147,142,142,140,139,138,138,136,135,135,136,135,132,129,129,127,124,121,118,115,103,83,67,41,51,29,13,69,111,110,109,110,110,111,110,110,111,110,110,109,108,108,106,104,104,101,98,83,47,28,23,14,8,4,17,83,112,113,111,111,111,111,110,110,110,110,110,110,109,110,109,106,103,93,61,33,22,18,14,6,16,31,43,75,111,111,111,111,112,112,112,111,112,111,111,110,108,107,106,104,82,49,20,17,13,12,10,6
4,165,166,167,169,171,172,173,174,175,176,178,178,179,178,178,177,176,177,176,176,175,174,174,174,175,174,173,172,164,166,168,170,171,172,173,175,177,176,179,178,179,178,178,177,178,178,178,177,176,176,175,175,175,174,174,172,166,167,169,171,172,174,175,175,176,176,179,179,181,179,177,179,178,179,178,178,178,178,177,176,175,175,174,174,167,169,170,171,172,175,176,176,178,179,180,180,193,180,165,161,186,177,165,172,179,178,178,177,175,176,175,175,168,170,171,172,174,176,177,178,182,184,176,186,212,178,167,137,199,173,152,130,178,178,179,179,176,176,176,175,169,172,172,173,175,179,178,179,215,210,185,158,212,185,162,153,208,177,151,107,169,158,157,178,177,177,178,177,168,172,173,173,176,178,178,194,229,226,194,140,190,191,155,169,210,177,143,145,173,139,112,154,179,178,179,178,170,173,175,175,177,178,178,214,216,223,180,133,184,193,162,171,196,187,194,177,133,125,99,111,179,180,180,179,172,173,176,179,179,179,184,222,197,215,169,117,170,185,194,191,204,223,222,184,130,99,93,99,180,181,180,180,172,175,176,178,180,180,196,218,187,200,171,105,149,171,182,197,209,215,201,191,151,102,85,105,181,182,181,180,173,175,178,179,181,181,218,211,182,180,178,103,129,165,125,158,185,189,185,198,163,118,84,118,183,182,182,181,174,176,177,180,180,197,223,194,169,155,134,92,125,164,102,140,169,151,188,205,176,134,92,138,183,183,182,182,174,176,179,180,179,215,214,180,152,149,129,110,126,146,105,140,174,114,194,216,192,149,100,161,185,184,183,183,175,178,180,181,182,230,214,176,147,134,120,114,120,121,117,121,148,122,185,226,203,159,110,138,186,186,184,183,177,179,182,181,189,238,213,177,144,127,112,115,123,124,153,157,179,196,195,213,195,157,123,105,184,187,186,185,178,181,182,181,200,240,212,174,139,131,118,118,120,133,173,186,209,205,207,185,173,160,132,103,179,187,186,185,178,180,182,181,212,238,212,170,145,147,130,117,118,155,198,210,211,202,193,169,142,151,126,113,183,186,186,186,177,180,181,179,222,238,208,175,170,164,139,133,168,210,222,213,210,199,176,151,129,125,108,140,186,187,187,186,176,178,180,179,227,237,213,193,195,173,145,184,216,229,231,212,203,185,163,141,121,109,105,172,187,188,187,186,176,179,182,181,231,237,224,207,199,185,153,207,226,232,234,205,184,170,153,136,114,98,136,187,189,188,186,187,177,180,182,182,232,239,231,212,194,187,163,214,230,232,222,194,168,156,144,128,107,104,177,190,189,188,187,187,177,180,183,181,224,241,231,215,195,185,179,214,227,217,202,180,156,147,136,115,100,141,189,189,190,189,189,188,178,181,182,182,213,235,222,211,198,186,185,202,212,200,182,163,151,147,128,105,108,180,191,192,190,189,188,187,179,180,183,182,215,225,211,206,205,192,186,194,203,189,173,153,145,140,118,100,153,192,191,190,190,189,187,187,178,180,183,181,212,218,204,205,205,187,174,189,201,188,165,141,134,129,111,128,187,193,192,190,188,188,188,187,172,175,178,178,202,220,206,205,196,186,170,183,203,182,149,126,124,117,110,169,184,185,185,184,183,182,182,181,130,130,132,130,176,227,216,211,196,187,172,173,197,170,136,120,116,107,104,121,122,121,121,121,119,121,122,121,102,101,103,101,155,236,227,217,203,193,177,164,193,169,134,117,108,99,94,95,92,93,93,92,93,92,99,158
12,180,180,182,184,184,186,187,186,186,186,186,185,185,185,184,183,183,184,182,182,182,181,181,180,179,178,178,177,181,181,182,184,185,187,187,187,187,188,187,187,186,186,187,188,187,184,184,183,181,182,182,180,180,179,180,179,182,183,183,185,187,187,187,188,188,189,188,190,187,187,177,165,179,186,179,181,190,184,182,180,181,181,181,181,183,183,184,187,188,188,189,188,189,189,189,189,187,185,159,125,103,171,154,122,128,181,187,183,180,182,181,181,183,184,187,187,188,188,189,189,190,191,188,188,191,167,141,116,102,156,135,117,65,133,177,178,188,181,182,182,184,186,187,188,189,189,189,191,189,189,181,149,173,168,155,95,133,173,140,113,101,150,134,101,144,189,181,181,185,187,186,188,191,191,190,190,191,195,184,138,158,198,157,91,166,185,142,117,129,138,121,92,71,147,190,181,186,187,187,189,190,191,192,190,198,207,187,147,144,188,133,88,187,184,128,119,167,150,122,97,76,90,189,182,187,188,188,189,191,193,193,189,204,195,180,145,102,107,110,71,125,142,85,132,196,151,136,92,63,83,185,184,188,189,190,190,192,194,192,196,212,192,160,129,104,56,48,91,131,148,126,165,195,146,109,70,61,89,187,183,188,189,190,191,193,192,195,207,191,183,143,117,100,49,105,183,188,178,166,179,143,105,87,86,68,90,193,185,189,190,192,193,193,191,206,208,179,152,142,156,95,127,197,189,178,171,155,165,165,119,119,115,80,117,195,184,189,191,193,193,194,194,216,204,184,163,141,161,152,206,197,182,174,178,161,161,160,129,103,105,73,160,193,185,190,192,193,194,194,198,217,208,194,191,165,166,188,193,197,179,182,173,152,162,146,113,90,81,74,184,189,186,191,193,194,195,194,200,215,212,200,190,180,171,181,183,187,179,178,165,159,157,130,98,85,65,96,198,186,187,191,193,195,196,196,200,215,213,201,184,171,170,173,180,184,177,174,161,156,136,108,85,80,56,126,201,186,189,192,192,194,195,195,199,213,210,189,170,166,174,174,184,188,177,167,156,137,111,90,79,75,51,153,201,189,189,191,194,195,196,196,199,201,195,184,183,181,176,176,192,182,168,151,143,123,98,86,78,59,78,191,193,191,189,192,195,195,197,197,202,209,210,205,199,187,172,173,191,172,151,134,127,106,91,85,60,65,170,197,191,191,191,193,194,195,197,197,209,215,211,203,192,182,171,169,183,162,137,123,109,96,84,59,82,171,198,191,192,192,192,193,195,196,196,199,214,214,209,200,183,174,172,173,169,149,129,112,99,77,69,128,190,200,193,194,194,194,193,192,195,196,194,201,216,209,202,194,181,169,170,173,161,141,118,95,72,78,167,204,195,194,195,194,194,193,192,198,194,195,192,208,207,199,189,188,180,162,166,163,144,129,112,80,68,170,202,193,195,194,194,194,193,192,190,160,193,200,195,207,192,187,181,179,170,169,166,156,133,113,99,69,141,201,193,196,195,194,194,194,193,192,191,85,87,140,211,196,179,172,169,168,176,168,157,149,124,105,81,84,189,198,198,196,196,195,194,194,193,193,192,92,78,74,163,187,171,162,168,177,179,158,145,140,115,97,64,122,205,198,198,198,196,195,195,194,193,194,193,84,87,88,72,89,101,98,105,121,135,133,132,126,105,85,62,167,204,197,199,198,197,196,195,194,193,194,192,83,81,86,75,31,48,53,50,49,51,56,71,87,87,62,90,191,199,198,198,198,198,196,194,193,193,193,193
2,153,154,153,153,153,153,153,152,151,150,151,151,150,148,147,146,146,144,146,144,143,142,142,143,140,138,137,136,154,155,155,155,155,155,155,155,154,153,152,153,153,152,150,150,149,146,147,146,145,144,143,142,141,139,138,138,155,156,156,156,156,155,156,155,156,155,154,154,155,153,151,145,143,147,147,149,150,149,145,142,142,140,140,139,156,157,159,158,157,157,158,156,157,157,156,157,153,159,158,142,134,134,129,126,131,140,151,145,144,142,141,141,158,160,159,159,159,160,160,160,159,159,157,154,168,173,158,150,144,134,127,109,100,77,96,154,146,144,145,141,160,161,159,159,161,161,160,160,159,159,157,167,178,172,167,166,166,144,132,130,97,92,59,114,149,147,144,142,161,162,161,160,162,162,161,162,161,158,164,176,175,179,111,90,122,84,76,131,124,113,89,70,79,129,147,143,163,163,163,163,163,163,163,164,162,159,173,177,161,138,76,33,40,38,38,70,95,78,49,48,40,123,152,144,165,165,165,165,166,166,165,163,166,176,189,139,84,63,47,36,33,41,138,126,135,113,74,58,94,152,147,147,167,168,167,167,166,168,166,168,185,192,175,121,74,46,26,28,30,94,168,160,160,161,156,148,154,150,149,148,167,169,169,168,168,169,166,181,192,186,152,111,81,59,42,26,82,158,157,158,157,155,155,157,153,152,150,149,170,170,170,170,170,162,177,193,186,154,107,76,64,49,34,87,170,160,161,160,157,157,155,156,156,152,150,149,171,172,172,172,164,176,201,192,171,151,100,44,39,45,37,144,167,160,162,161,160,159,157,157,156,152,152,149,173,173,173,165,177,204,199,177,155,151,99,59,42,31,81,172,162,163,164,162,162,161,159,156,157,155,153,151,174,176,169,177,206,202,182,166,168,126,81,56,35,22,148,173,165,163,165,164,162,161,160,159,159,157,153,152,178,175,172,204,206,194,174,176,152,106,79,42,34,24,125,180,165,166,167,165,164,162,166,161,148,151,160,153,178,172,200,210,203,187,173,162,132,100,66,25,31,32,46,156,170,167,167,165,165,168,146,121,117,99,132,160,173,190,213,204,195,177,165,153,125,81,46,26,34,37,30,83,181,165,171,172,171,126,99,118,126,71,111,163,183,212,205,195,181,172,156,141,106,63,40,40,49,50,46,43,144,181,159,122,88,88,113,120,74,103,160,154,214,215,198,188,172,157,144,126,85,58,42,54,64,64,61,47,54,105,71,73,64,88,111,70,81,169,159,158,108,186,198,178,167,147,136,110,82,59,49,66,69,68,61,56,46,56,60,81,89,86,76,31,147,165,161,160,35,60,134,151,143,137,122,109,77,49,53,71,67,65,61,57,54,67,75,79,82,62,30,74,170,161,162,160,45,36,35,84,104,93,86,66,44,42,49,63,61,60,56,56,60,66,68,59,49,68,117,162,167,165,163,162,34,40,35,31,42,46,37,25,31,37,37,51,56,54,43,42,36,36,54,95,137,170,177,170,169,168,165,163,34,33,32,37,32,10,16,23,19,20,26,34,28,23,47,68,77,115,163,181,180,175,170,169,169,167,165,163,33,29,30,27,38,14,0,4,2,1,18,31,57,111,164,181,184,185,179,175,174,173,172,171,170,167,166,165,32,29,28,24,37,30,0,0,0,0,35,160,191,191,186,182,179,178,178,177,176,176,174,173,171,169,168,166,27,24,23,20,29,32,0,0,0,0,0,28,168,186,181,183,182,182,181,180,179,177,176,174,171,171,169,166
24,156,158,160,161,163,166,167,167,168,170,167,168,167,168,167,166,166,167,166,164,164,163,162,160,160,160,159,158,157,159,162,164,165,167,169,169,169,170,169,170,169,169,168,169,168,167,167,166,166,165,164,164,161,159,158,158,158,160,162,164,168,169,169,170,170,171,171,171,171,171,171,170,170,168,167,167,167,166,165,165,163,160,159,159,160,162,163,168,148,166,171,172,172,173,173,172,172,172,172,171,171,169,168,168,167,167,166,166,165,163,161,161,162,164,166,179,109,154,174,173,172,173,174,174,173,172,172,171,172,171,170,170,168,168,167,167,165,163,163,164,163,165,171,168,100,155,174,174,174,174,176,176,175,173,174,173,173,172,171,172,170,169,168,167,166,164,164,165,163,164,174,163,100,154,176,175,176,176,172,166,177,175,175,175,174,172,171,172,172,172,171,168,167,167,165,165,165,166,176,168,102,155,178,177,177,181,175,131,136,174,177,175,176,174,173,161,147,134,160,171,168,167,166,166,165,167,176,166,107,144,174,173,147,174,185,159,103,112,175,178,176,174,152,118,102,91,133,174,170,168,167,167,166,167,174,167,164,164,163,185,132,137,190,166,101,78,130,182,178,167,121,88,97,136,164,174,172,170,169,168,168,169,174,185,200,181,183,191,148,120,187,157,93,69,88,172,183,151,99,93,165,178,176,174,172,171,171,170,168,171,175,179,208,184,192,196,148,92,145,120,88,59,88,162,166,121,89,147,181,176,175,174,173,172,172,171,170,172,174,186,209,185,200,201,143,86,51,111,145,133,153,162,129,94,111,182,179,177,176,176,174,174,172,172,170,173,174,205,201,169,170,181,120,78,92,183,184,170,157,149,112,88,163,184,180,179,179,177,175,174,173,173,171,173,179,194,179,153,117,116,99,144,201,198,179,160,140,125,104,115,185,182,181,181,179,179,178,175,174,173,172,173,189,192,176,155,128,92,168,217,209,197,174,145,123,108,96,158,188,182,181,181,181,179,178,177,176,174,173,172,198,205,182,156,147,170,222,214,205,191,160,130,110,102,101,180,186,183,182,182,181,181,180,179,178,176,173,173,206,210,190,176,188,220,221,212,199,176,144,113,106,89,133,191,186,185,185,184,182,182,180,179,177,177,174,173,210,212,197,196,216,223,213,204,185,157,124,105,98,100,179,191,187,186,185,185,183,182,181,180,180,178,174,173,209,217,203,209,224,213,193,181,163,134,112,102,95,163,193,189,188,187,185,185,184,183,182,181,181,179,175,175,207,222,206,198,204,197,177,160,143,116,104,90,156,194,190,188,188,188,186,186,185,184,183,182,181,180,176,176,199,214,197,195,203,200,181,161,138,109,83,112,191,193,193,191,189,188,187,187,188,186,184,183,182,181,175,178,187,194,183,196,202,197,180,156,132,97,68,150,196,193,192,192,191,189,187,187,187,187,186,185,184,181,175,179,181,190,197,202,196,189,180,153,124,87,77,175,196,193,193,194,193,191,189,188,188,187,187,185,184,183,174,177,179,199,207,193,192,184,171,148,122,85,87,186,193,192,192,192,191,189,188,188,188,187,186,185,184,183,173,176,177,204,205,183,195,175,164,147,120,90,81,181,193,192,192,192,190,188,189,189,187,186,185,185,183,182,174,177,177,210,206,182,196,171,166,147,116,91,76,171,195,194,193,193,190,189,188,188,187,186,185,185,183,181,173,177,178,211,208,188,197,178,163,144,115,91,73,162,196,194,194,192,192,190,188,188,187,187,186,185,184,182
10,0,40,42,47,54,61,71,84,95,99,104,109,114,120,123,126,131,130,134,136,136,136,135,137,138,138,136,135,0,42,44,49,56,62,74,86,96,102,107,112,119,123,126,130,132,147,132,137,140,138,139,139,139,139,139,137,7,45,44,50,57,63,76,89,99,106,111,118,124,127,131,130,142,189,108,122,146,141,143,142,141,141,141,139,15,44,46,52,57,64,78,93,103,109,115,121,126,130,134,133,150,186,120,100,153,145,147,146,145,145,144,142,21,46,48,53,58,65,81,96,107,109,115,124,129,135,139,138,147,189,151,92,151,149,149,149,148,147,146,145,28,46,49,54,59,68,84,99,107,129,125,122,137,139,141,143,144,199,185,94,144,155,152,151,149,150,149,147,35,47,50,54,60,69,85,100,111,192,123,68,124,143,146,149,147,195,186,101,132,162,155,155,154,154,152,151,39,46,51,55,62,71,87,102,112,152,105,64,59,156,126,115,155,188,196,108,115,168,158,158,157,157,156,154,42,45,50,57,63,72,89,105,116,122,114,84,68,148,88,83,158,193,208,117,97,172,161,162,160,160,158,157,45,48,51,58,63,73,91,106,119,124,130,120,113,163,85,33,149,189,169,106,70,167,166,165,165,163,162,161,47,49,53,58,62,74,93,109,121,126,131,148,130,166,103,32,103,172,101,76,51,158,170,166,167,167,164,164,49,49,53,58,63,75,95,112,123,127,133,144,137,169,131,90,53,85,67,72,46,148,177,170,171,169,167,166,51,51,53,58,63,76,96,113,125,129,135,148,163,124,157,143,109,43,35,59,45,121,186,173,174,172,171,169,51,51,52,57,64,78,97,113,127,132,132,174,181,95,105,191,153,114,59,45,39,78,188,176,177,176,174,173,51,52,52,59,64,79,99,116,129,133,142,167,195,146,43,144,193,149,115,39,25,50,184,181,181,179,177,175,52,51,53,59,63,78,101,118,127,144,199,131,171,135,60,125,210,165,128,46,17,52,185,185,183,182,180,178,52,50,53,59,63,80,102,120,127,155,222,137,107,152,102,193,194,153,128,62,26,24,163,194,185,185,183,182,52,52,54,60,63,82,103,120,131,140,194,162,90,189,169,211,198,148,120,71,34,17,158,198,188,188,185,184,53,53,54,59,64,82,104,121,135,133,171,166,99,192,127,181,201,160,107,66,42,24,170,197,190,191,188,186,53,52,54,60,64,83,105,124,135,135,167,189,150,147,58,201,196,145,101,63,45,35,181,198,192,193,193,189,54,52,53,58,63,85,106,123,137,142,143,206,206,135,104,221,185,139,96,58,47,42,189,200,195,194,192,190,53,52,53,58,64,84,105,126,138,142,146,178,229,214,190,210,172,128,89,61,50,52,198,199,197,195,193,193,53,51,53,58,63,84,106,125,137,142,150,166,224,220,189,173,152,114,87,71,47,74,209,197,199,198,196,194,53,50,50,55,62,84,105,123,136,140,150,152,143,211,161,131,145,127,106,91,44,99,212,195,199,198,195,194,52,49,49,53,60,83,105,124,134,138,156,139,4,190,140,153,161,159,146,109,35,100,212,196,199,199,197,194,50,46,47,51,58,82,105,123,136,137,159,128,0,147,202,175,143,151,135,80,15,8,205,202,201,199,198,195,45,42,44,48,55,79,102,122,134,138,159,97,0,68,157,137,110,112,80,17,0,45,217,199,201,199,198,196,52,47,48,48,56,78,100,120,131,137,152,75,0,18,17,9,0,0,0,0,0,103,218,196,200,199,198,196
15,114,115,108,59,124,82,0,54,63,63,65,69,73,79,94,106,115,123,126,129,134,140,145,149,153,156,158,159,119,120,106,62,131,73,0,58,62,64,66,71,74,79,96,108,118,124,127,130,136,142,147,151,154,158,160,162,123,124,102,67,139,64,0,62,62,64,68,72,75,81,98,110,120,126,129,133,139,144,150,155,156,159,162,164,126,130,98,74,145,53,4,65,62,65,68,73,75,83,100,110,120,129,131,133,140,145,151,156,159,160,164,165,128,135,92,83,148,42,11,67,62,66,69,74,74,84,100,111,122,130,133,136,142,148,154,156,160,163,165,167,131,139,85,93,149,34,20,69,64,68,71,75,76,84,101,114,124,131,134,138,144,150,155,157,162,166,167,170,134,143,80,103,146,16,19,63,58,61,66,72,75,86,102,115,126,133,135,140,147,152,156,160,164,167,169,171,137,147,78,130,149,88,85,106,98,95,89,83,79,87,102,115,126,135,137,140,147,152,157,161,164,168,170,172,141,143,95,165,130,130,127,152,138,135,137,142,125,110,99,111,122,124,127,144,148,152,158,161,165,170,171,173,141,143,80,127,84,90,90,122,104,99,134,150,127,104,110,139,147,127,97,95,154,155,159,164,167,170,173,175,143,143,70,138,100,36,62,88,83,77,116,134,112,88,125,152,142,140,149,80,96,161,162,164,169,173,174,177,149,140,68,158,117,0,57,69,67,70,74,100,100,121,165,141,128,156,159,136,77,84,168,168,170,174,176,179,154,136,70,165,103,0,66,71,69,67,78,116,119,122,159,123,120,152,138,153,111,61,84,171,174,172,178,180,157,131,77,173,93,0,69,70,68,67,158,144,94,82,91,86,125,134,135,134,114,94,51,78,166,181,178,182,164,125,83,180,80,0,73,70,65,77,167,156,110,73,37,45,128,150,140,97,87,85,73,49,62,161,186,181,171,120,94,183,70,1,75,69,68,55,131,177,142,126,105,111,123,125,114,72,61,69,63,63,47,64,179,185,176,112,104,184,58,6,79,67,67,108,155,159,153,126,107,109,102,98,106,81,60,64,61,57,56,38,102,199,178,105,115,181,48,12,81,58,136,160,143,121,141,111,69,85,83,81,84,69,60,66,63,59,56,54,46,135,181,98,123,180,38,18,82,61,147,125,100,89,106,79,56,61,58,57,58,60,67,81,79,59,53,58,55,54,181,92,136,178,27,24,82,65,87,82,61,84,81,58,53,68,55,43,75,79,88,99,84,52,50,58,59,55,183,88,147,173,19,31,81,68,66,67,67,101,151,112,79,76,73,59,68,80,88,87,71,52,53,60,63,61,181,85,159,170,11,37,80,67,68,69,72,70,91,94,64,45,86,108,49,57,86,79,63,58,59,67,63,60,182,82,175,169,4,43,80,66,66,68,70,73,76,93,106,118,129,110,89,84,71,64,61,64,68,67,62,61,179,83,185,162,0,49,80,66,66,67,69,70,79,99,117,129,144,131,50,72,96,98,87,77,61,47,41,37,172,86,195,152,0,55,79,67,66,67,68,69,78,98,113,125,146,104,41,37,109,85,43,23,7,2,2,0,165,88,201,141,0,60,75,64,64,65,66,68,77,96,113,126,146,81,53,55,7,14,16,4,0,0,0,0,155,96,208,129,0,64,73,62,62,63,65,66,75,96,113,130,134,67,48,54,32,0,23,8,1,0,0,0,147,107,214,118,0,68,72,61,61,61,63,64,74,94,110,132,115,53,51,47,47,0,7,8,0,0,0,0
7,105,113,121,126,128,130,134,139,142,146,147,149,152,153,155,156,158,159,159,160,160,161,161,161,161,162,161,159,105,113,122,127,129,131,135,140,143,146,148,150,153,155,156,157,158,159,160,162,162,161,162,162,162,162,162,160,105,114,123,128,131,132,137,141,144,147,149,151,154,155,157,158,159,160,161,163,163,163,163,162,162,163,162,161,106,114,122,129,132,133,138,141,145,148,150,153,154,156,158,160,160,161,162,163,163,164,165,164,164,165,163,163,106,115,123,129,132,134,138,141,145,148,151,153,155,157,158,160,161,162,162,164,165,165,165,165,165,165,164,164,107,115,123,129,132,133,138,142,146,149,152,154,155,157,160,161,162,162,163,165,165,165,165,165,165,165,165,165,107,116,123,130,132,135,139,143,147,150,152,155,156,158,160,162,164,164,164,165,166,166,167,166,165,166,166,165,108,116,124,130,131,135,140,143,146,150,152,154,156,158,161,163,164,165,166,168,169,168,168,167,167,166,166,166,108,116,125,132,134,133,136,150,157,154,157,162,162,165,163,158,156,161,159,159,158,159,165,169,168,167,168,167,108,118,126,131,131,143,165,176,173,161,157,169,176,176,173,160,160,173,162,154,148,135,153,154,166,169,169,168,110,117,123,138,161,177,178,173,171,157,143,148,157,161,160,146,147,160,156,147,140,134,144,131,166,174,170,168,106,123,154,175,179,174,173,178,170,150,142,154,167,170,174,159,151,158,151,160,158,145,139,147,152,155,167,171,143,172,182,176,178,175,175,177,166,141,130,133,157,163,162,159,161,156,158,165,165,158,154,157,145,157,147,160,183,181,180,179,183,177,177,181,177,130,107,112,110,103,112,124,126,130,133,133,136,138,137,138,133,142,136,162,184,186,183,180,181,178,180,187,164,119,101,104,105,86,73,79,138,154,156,158,155,153,151,151,151,153,162,170,186,183,180,178,179,179,181,178,144,105,103,109,108,102,92,75,155,174,171,173,174,174,175,174,174,175,172,171,180,180,181,179,181,181,183,179,139,98,88,96,111,123,110,85,128,175,168,170,172,171,171,171,171,171,171,171,180,185,183,182,184,184,189,178,131,96,93,68,73,109,110,94,129,174,170,172,172,173,172,172,172,172,172,171,181,179,177,173,168,166,171,143,119,101,97,93,79,98,116,130,162,169,169,170,170,171,170,170,170,170,169,168,169,168,163,156,146,152,149,123,112,106,103,92,92,101,112,117,116,115,115,116,117,114,113,113,112,110,110,109,153,153,147,143,138,136,129,108,104,99,105,100,99,99,98,96,95,96,94,94,96,95,96,96,96,95,92,91,121,131,130,123,113,106,103,103,103,102,103,105,104,105,105,104,102,106,107,103,103,101,100,101,100,99,97,98,105,106,101,97,99,102,104,104,102,103,103,102,102,103,102,102,101,105,106,104,105,101,99,98,98,99,98,99,89,84,90,101,104,105,105,104,104,104,104,104,104,102,103,103,102,101,100,101,103,100,99,99,98,97,99,95,98,90,92,102,105,105,105,105,105,105,105,106,105,104,104,105,104,103,102,102,102,101,101,99,98,100,95,109,110,97,93,99,105,105,105,104,104,105,105,105,104,103,104,104,104,103,103,102,101,100,101,100,100,96,102,171,100,94,95,95,103,105,104,104,104,105,105,105,104,104,104,104,104,103,103,102,102,101,100,100,98,95,164,171,102,98,93,90,103,105,105,105,105,104,104,104,103,103,103,103,103,103,102,102,102,101,101,99,108,150,159,145
21,178,180,182,184,186,187,188,189,190,189,190,190,189,189,188,187,185,184,184,184,181,180,180,179,177,177,174,174,179,181,183,185,187,188,190,191,191,192,192,192,191,191,191,188,190,187,185,186,185,183,181,180,180,179,176,175,180,182,185,186,188,190,192,193,194,193,193,193,193,193,192,189,170,186,189,187,186,185,183,182,182,180,180,177,181,184,186,186,189,192,194,194,195,195,195,194,194,193,194,201,125,161,195,188,189,186,183,184,183,182,182,180,181,185,188,188,191,193,195,196,196,196,196,196,196,193,200,192,122,168,196,188,189,191,187,186,185,184,183,182,183,186,188,190,192,194,195,196,196,197,197,198,198,192,208,185,125,182,196,190,189,175,184,189,187,186,184,182,184,186,189,192,193,194,196,198,199,199,200,199,199,195,214,181,129,190,195,193,179,131,150,196,186,187,186,184,186,188,192,194,195,196,199,200,200,201,201,201,200,200,216,171,135,197,196,189,171,124,162,195,187,188,187,186,186,189,193,194,196,199,200,201,201,201,203,201,198,204,211,162,134,200,196,185,162,125,188,192,190,190,188,186,187,190,194,195,198,200,200,201,202,202,202,204,203,211,206,147,138,205,190,184,147,147,199,191,191,190,189,188,189,192,194,196,198,200,202,201,204,204,203,174,172,225,202,133,160,204,177,174,126,174,199,193,193,192,190,189,189,192,195,196,199,201,202,204,206,204,211,176,127,161,162,118,177,195,181,149,131,200,196,196,195,193,192,191,190,193,196,198,201,201,203,206,205,209,210,207,177,141,113,113,187,186,178,125,168,205,197,196,195,194,192,191,191,195,197,199,201,203,204,205,209,220,209,225,212,158,113,114,144,154,144,129,199,200,199,198,197,196,194,192,192,195,198,200,202,204,206,207,219,179,197,198,197,153,118,111,116,125,113,165,207,199,199,199,198,196,194,193,193,196,199,202,204,206,204,216,211,160,172,141,188,173,128,110,109,113,124,200,204,201,200,200,200,199,195,194,193,197,200,202,205,207,206,221,207,172,137,102,172,191,140,114,108,105,158,213,203,203,202,202,200,199,197,196,195,198,202,204,206,207,210,223,181,152,141,114,179,202,156,127,112,104,185,211,204,204,203,203,201,199,198,196,196,200,202,205,207,206,218,222,186,176,148,168,230,195,171,143,116,106,188,212,206,206,204,203,202,201,200,197,196,200,202,205,209,206,224,224,199,164,159,228,220,180,167,144,121,117,194,212,208,207,204,204,203,202,200,199,197,200,202,206,208,208,230,237,194,163,194,242,202,172,151,144,123,127,205,210,208,207,207,207,205,203,200,199,198,201,203,206,208,208,235,221,185,179,205,238,201,181,143,131,122,143,215,209,208,208,207,206,205,203,201,201,199,201,205,206,210,210,229,207,209,179,209,231,193,174,147,126,118,167,218,210,210,209,208,207,205,205,202,201,196,199,202,205,209,211,218,223,223,178,221,214,181,157,139,129,121,190,217,210,209,209,208,208,206,204,203,201,195,199,202,205,208,210,215,224,212,173,204,198,166,142,131,124,132,206,213,210,208,207,207,206,205,203,202,200,196,199,202,206,209,210,217,213,194,174,187,190,164,146,133,117,150,217,211,212,210,208,209,207,205,204,202,200,196,200,203,206,209,212,215,209,192,192,192,188,184,147,130,112,168,219,212,213,210,209,209,208,207,204,203,200,196,200,203,206,208,211,213,213,216,214,198,181,181,145,122,111,184,219,212,212,210,209,208,207,206,205,203,202
0,189,190,192,194,195,198,199,200,201,202,203,205,207,207,206,206,207,208,208,208,208,208,208,208,208,208,207,207,189,191,193,196,197,199,200,201,202,203,204,205,207,207,207,207,208,208,209,209,209,209,209,209,209,209,209,209,189,191,194,197,199,200,202,202,204,206,206,207,208,207,208,209,208,209,211,210,210,213,210,210,211,211,211,210,191,193,195,197,199,200,203,204,206,208,210,209,209,214,216,208,205,214,221,211,208,220,206,203,213,214,213,211,192,195,197,198,200,202,204,206,208,218,226,211,199,222,227,202,187,212,229,209,193,215,202,189,211,215,214,213,194,196,198,200,202,204,208,210,210,233,239,215,183,204,225,203,173,187,223,208,179,196,205,181,201,214,215,215,195,197,200,202,204,209,223,222,208,232,239,220,186,189,221,209,178,177,222,208,168,167,201,186,182,199,212,216,197,199,201,203,206,221,241,230,205,219,238,223,196,188,221,213,181,182,223,201,158,136,184,197,181,174,193,215,198,200,202,204,209,234,250,237,212,208,235,223,198,186,224,217,177,180,216,186,143,108,161,204,194,164,175,214,200,201,203,204,214,241,250,244,220,200,227,223,195,183,225,216,166,158,190,167,124,103,172,216,203,167,178,217,201,202,204,205,222,239,238,242,220,190,213,217,187,174,212,203,155,131,159,150,113,124,203,224,204,169,193,221,202,204,205,209,233,240,227,226,198,165,189,202,174,154,177,177,143,121,153,151,128,170,221,218,187,167,207,224,203,205,206,218,243,237,213,205,171,139,162,182,162,133,142,155,131,131,178,188,188,209,217,199,167,171,217,225,204,206,207,227,248,236,208,193,168,140,151,176,160,119,122,152,157,190,222,225,216,205,194,175,156,180,222,226,207,209,209,226,250,244,222,195,172,150,153,183,165,120,133,187,221,237,237,227,209,188,171,158,151,191,226,228,209,211,211,226,251,250,235,211,187,169,172,190,179,169,202,237,248,242,232,218,196,173,157,150,164,211,229,230,209,211,212,229,252,253,243,227,210,191,191,205,218,234,248,251,247,235,219,200,179,159,147,156,198,227,231,231,208,210,212,229,252,254,250,239,227,211,206,221,238,251,253,249,241,225,204,181,161,147,147,186,223,231,232,232,209,211,213,228,251,255,253,245,235,223,216,225,239,251,250,242,231,213,189,165,148,142,169,217,231,232,233,233,210,212,214,226,250,254,253,246,234,223,217,221,232,242,239,228,215,197,172,151,139,156,206,232,234,234,233,233,210,213,215,223,246,254,251,242,228,215,213,217,224,228,222,208,191,174,153,137,148,198,230,234,234,235,234,234,212,214,216,219,238,250,244,233,219,207,208,215,218,217,204,187,167,149,132,135,187,228,235,235,236,235,235,235,202,199,198,194,201,208,198,188,179,173,178,185,184,179,166,154,139,123,121,172,224,236,236,236,236,237,236,236,167,160,156,150,145,142,135,126,117,109,108,105,100,97,92,91,91,91,114,182,226,236,236,237,238,237,237,236,146,144,141,135,131,126,118,109,100,90,82,73,66,64,61,60,60,63,74,105,177,233,238,238,238,238,238,238,150,145,142,136,132,124,116,106,96,87,79,71,65,62,59,57,55,57,58,67,151,232,239,239,239,239,239,239,163,148,143,138,133,123,114,104,92,84,78,71,64,61,58,55,54,54,55,84,189,237,239,240,240,239,239,239,174,150,142,138,132,122,112,102,92,83,76,70,64,61,58,55,53,53,57,118,221,239,239,240,240,241,241,241
4,214,215,217,217,217,219,220,220,222,222,222,222,223,222,222,223,223,222,221,221,221,222,222,222,222,221,220,219,214,216,217,218,219,221,222,222,223,223,223,223,223,224,224,223,224,223,222,223,222,221,222,223,222,223,222,221,216,217,219,219,219,222,223,223,224,224,223,224,224,225,225,223,223,226,224,223,224,224,224,224,224,224,223,223,218,218,221,222,222,224,224,224,225,225,225,223,222,223,223,229,227,226,225,227,227,227,226,227,226,226,225,224,219,220,222,222,223,224,225,225,226,224,223,229,251,254,231,228,255,249,205,210,227,225,232,229,228,228,226,224,220,222,222,223,224,225,226,227,225,233,247,247,228,255,239,175,213,239,195,154,224,217,202,231,228,228,226,226,223,223,224,224,224,226,228,225,236,255,255,233,166,204,222,162,167,216,164,167,255,216,151,209,234,228,229,228,223,224,226,228,228,228,229,224,255,255,255,232,161,182,234,155,132,225,176,226,255,206,142,208,237,230,232,230,224,225,227,229,230,228,231,225,255,251,236,248,204,154,234,165,153,230,240,255,248,234,161,213,238,232,232,230,225,227,228,230,230,229,232,226,255,251,224,223,186,109,175,245,234,236,246,234,237,253,205,197,240,231,232,233,226,228,229,231,232,230,231,233,255,255,233,201,164,129,120,209,208,212,221,197,246,255,245,186,226,238,234,235,227,229,230,233,233,233,230,242,255,253,213,186,177,161,150,152,153,176,174,155,255,255,255,209,190,243,234,234,229,230,231,233,233,237,232,247,255,254,218,183,160,155,163,168,151,178,153,185,255,255,255,223,169,230,238,235,231,231,233,234,235,237,232,253,255,255,222,186,167,159,168,178,185,210,221,255,255,254,234,206,165,207,245,237,231,231,233,235,237,237,233,255,255,255,232,200,172,163,173,194,199,228,255,255,255,248,218,186,159,209,245,236,233,234,236,237,237,239,234,255,255,255,241,215,178,163,172,194,222,255,255,255,255,240,207,174,158,229,242,237,233,236,237,237,238,239,235,255,255,255,249,221,193,178,177,204,253,255,255,255,249,225,194,162,172,245,240,240,233,235,237,237,239,241,235,255,255,255,255,229,217,191,197,223,255,255,255,255,239,210,181,152,197,251,240,241,236,236,237,238,240,241,236,253,255,255,255,237,228,216,207,226,251,255,255,245,224,196,167,149,227,248,241,242,236,237,238,238,239,240,241,250,255,255,255,247,236,225,208,208,241,255,244,231,212,181,155,165,248,244,244,242,236,238,239,242,245,246,242,241,255,255,255,248,237,219,211,207,228,255,227,211,198,171,142,203,254,243,244,243,239,239,242,230,212,197,182,171,172,171,159,149,144,148,154,163,187,212,211,204,188,159,144,241,250,247,247,245,238,243,201,179,169,164,159,155,145,135,125,114,106,103,89,85,99,106,118,141,164,138,180,255,246,247,246,244,239,244,183,168,171,166,161,157,145,137,125,115,112,105,91,91,96,92,82,77,88,108,236,254,247,247,246,245,239,249,202,162,166,162,159,154,137,128,121,112,110,100,93,93,98,89,83,83,80,69,144,255,247,248,249,248,240,250,217,165,166,159,159,148,137,125,119,111,108,99,93,93,95,87,80,78,79,82,58,207,255,247,251,250,242,248,227,170,163,162,159,149,134,126,117,110,104,100,93,93,91,85,78,76,78,76,81,233,255,249,250,250,242,248,233,167,162,166,152,143,132,124,115,108,101,99,94,92,89,83,77,74,82,61,165,255,248,251,251,251
16,64,66,70,76,87,98,105,112,118,121,123,125,130,136,139,145,147,148,150,153,155,156,158,160,161,161,163,165,64,66,71,77,88,99,108,114,120,122,123,126,132,137,139,142,146,150,152,154,155,157,159,160,162,162,162,165,65,67,73,77,89,100,109,115,121,122,124,128,133,137,140,145,147,151,153,155,155,158,160,162,163,164,165,166,65,69,72,77,91,101,109,115,121,124,127,130,134,137,143,145,148,151,152,155,157,160,162,163,163,164,165,166,65,70,72,78,93,104,112,118,123,126,129,131,138,143,144,149,155,153,154,157,160,161,164,164,164,166,166,166,66,70,73,81,95,106,115,118,122,126,127,126,128,122,109,101,114,155,157,157,162,164,165,165,167,169,169,169,68,71,75,84,97,106,110,119,131,125,111,96,84,70,62,65,57,79,153,165,162,165,167,169,169,170,171,172,69,72,74,85,95,104,125,143,135,108,76,72,70,58,49,59,70,47,68,158,168,165,170,172,172,172,173,173,69,73,78,81,95,134,152,121,93,70,50,64,65,53,48,59,64,53,54,71,172,167,172,173,172,173,175,174,70,74,66,103,137,129,88,73,66,53,49,68,65,51,54,62,61,53,74,37,105,183,170,174,174,175,176,176,68,67,113,151,107,73,52,57,56,38,60,75,62,52,63,64,52,63,71,56,44,165,174,173,177,179,179,179,63,159,174,102,66,53,41,41,72,105,69,52,28,54,72,59,33,68,68,56,33,96,190,175,179,180,180,180,93,201,124,84,55,36,61,104,179,179,87,27,30,33,62,43,22,80,65,50,47,29,136,188,178,180,181,181,74,143,96,61,59,118,191,186,193,165,108,46,38,33,23,1,34,88,60,64,64,54,48,147,187,180,182,184,68,78,81,70,170,193,189,176,191,157,110,65,46,37,0,0,44,86,58,73,76,76,58,63,186,184,184,185,73,74,77,103,196,170,190,183,187,140,94,67,62,51,41,0,24,77,58,71,82,68,58,34,145,194,184,185,73,78,71,125,207,172,197,185,166,111,63,67,72,62,56,30,1,56,67,117,100,59,46,27,96,201,184,187,74,77,68,158,209,168,196,181,141,86,72,78,81,76,58,46,5,18,124,162,157,134,94,23,96,203,185,189,75,79,69,168,208,164,168,157,90,58,62,87,81,65,60,49,39,22,152,181,182,182,177,123,133,196,188,191,74,77,72,139,215,163,104,92,50,47,57,63,59,50,45,42,60,39,144,190,184,187,191,176,117,142,198,190,74,76,80,105,177,102,63,55,55,66,72,61,42,38,43,36,42,27,109,202,177,184,184,156,107,82,197,191,75,75,84,96,122,72,53,73,66,52,43,39,30,27,30,26,43,64,71,146,169,169,167,139,80,115,201,192,76,77,84,99,111,112,61,58,39,61,65,73,65,40,27,51,64,73,61,43,72,129,142,118,133,192,197,195,76,76,85,100,119,105,47,48,36,43,127,92,62,52,35,20,20,10,8,7,0,75,200,187,201,199,196,196,74,77,85,100,117,82,50,42,47,28,3,31,6,0,0,0,0,0,0,0,0,43,211,194,195,196,197,198,75,77,86,104,106,63,48,40,35,50,0,0,0,0,0,0,0,0,0,0,0,141,207,192,196,197,199,201,74,77,86,105,87,53,45,36,33,37,30,0,0,0,0,0,0,0,0,0,0,194,195,196,199,200,200,201,73,77,86,102,63,46,42,34,29,34,40,0,0,0,0,0,0,0,0,0,61,216,192,197,200,201,201,201
15,156,146,121,130,86,79,141,5,5,53,50,54,58,62,66,80,98,112,123,127,133,141,146,151,156,159,162,166,165,147,123,136,79,97,140,0,16,54,52,54,60,64,69,85,100,116,127,130,136,145,150,155,159,163,167,171,172,144,127,141,70,116,132,0,28,56,53,55,60,64,70,88,104,119,129,133,139,147,154,159,163,167,170,174,176,147,134,144,64,136,117,0,38,56,54,56,61,64,72,91,108,121,130,135,143,150,157,162,166,170,173,176,177,147,141,142,65,154,100,0,47,56,55,59,64,65,74,93,110,126,134,137,145,154,161,165,169,174,177,180,176,146,147,135,67,166,79,0,53,53,53,57,59,61,77,97,113,128,136,139,146,156,163,170,174,177,182,184,177,146,151,126,72,177,60,0,63,59,66,74,85,81,76,99,116,133,143,145,153,166,174,175,176,181,186,189,173,151,162,127,105,133,104,97,95,93,105,108,102,89,80,82,91,104,120,132,140,142,148,174,193,187,188,194,166,158,154,110,106,107,100,96,81,85,85,79,75,79,93,89,87,88,88,96,109,102,89,88,124,188,204,197,167,155,126,94,92,87,85,79,76,81,80,81,79,89,101,101,93,89,84,92,112,109,100,82,56,74,155,211,167,154,159,89,98,93,63,68,71,80,82,81,83,96,101,97,92,85,86,104,101,99,100,90,79,62,52,101,164,156,168,76,152,149,0,42,64,58,62,64,70,83,100,106,101,86,96,100,103,99,101,88,83,85,74,51,162,165,166,72,168,129,0,46,61,56,58,62,63,68,90,129,164,126,109,102,99,100,95,95,83,96,92,71,164,170,160,73,183,111,0,54,61,57,58,63,64,72,92,164,158,128,97,100,87,77,82,95,83,109,107,84,169,171,152,80,192,91,0,59,59,56,59,63,67,64,130,173,124,110,50,54,61,33,60,113,98,122,109,88,173,176,140,87,196,70,0,64,58,56,60,63,63,81,175,140,109,91,51,13,16,0,68,149,129,124,92,84,176,180,130,99,200,51,0,68,58,58,59,64,55,147,191,122,97,72,33,9,5,0,96,158,149,127,86,75,175,184,118,111,200,33,0,70,58,57,59,64,57,160,182,138,96,62,9,3,0,7,116,158,167,139,91,71,180,192,107,129,194,17,7,71,57,58,60,65,57,109,190,166,120,72,12,0,40,37,89,156,167,133,91,74,183,197,97,148,194,3,18,71,57,56,59,63,65,75,178,194,151,86,22,0,41,73,104,154,137,107,90,64,184,198,90,166,187,0,29,71,57,56,57,61,65,73,139,214,167,115,79,59,67,130,141,123,93,77,80,60,189,194,84,184,171,0,36,68,55,54,55,58,60,80,108,195,192,173,161,152,160,144,96,76,67,64,66,60,192,189,85,198,154,0,45,64,54,53,53,57,59,80,106,184,169,130,122,134,152,129,71,57,62,48,65,73,195,179,86,211,133,0,53,63,52,51,51,56,62,73,156,183,120,116,115,128,155,128,66,51,49,89,57,47,197,167,95,221,111,0,54,56,48,47,49,55,60,73,178,156,117,108,108,114,137,126,77,48,164,208,48,33,200,156,103,224,97,0,69,63,52,49,48,49,54,73,145,142,115,112,98,86,106,108,72,52,213,220,58,40,203,146,120,207,152,114,113,116,110,106,101,102,105,107,114,126,132,162,164,88,60,141,95,89,191,200,65,47,205,134,133,203,161,91,88,97,96,97,97,104,104,103,96,98,102,104,177,152,72,105,107,101,113,112,63,51
2,188,188,189,189,189,189,188,188,188,186,185,184,183,183,182,182,182,178,178,178,177,175,175,172,171,169,168,168,190,190,190,190,190,190,189,189,189,188,188,186,186,184,183,183,184,180,181,180,178,176,175,174,173,170,169,167,190,190,191,191,191,190,191,190,189,189,188,188,188,187,184,185,185,184,183,182,180,178,175,175,174,173,170,167,192,192,192,193,192,192,193,191,190,191,190,188,185,182,183,180,180,185,185,184,183,180,177,175,174,173,172,169,194,195,194,194,193,193,193,193,191,192,190,197,192,177,179,175,157,161,166,170,172,176,179,179,175,174,173,171,195,196,196,195,195,194,194,195,195,191,201,223,215,210,210,208,191,164,139,126,125,159,170,174,176,175,174,172,196,196,195,196,196,195,196,195,195,186,189,202,195,187,191,197,193,189,165,129,133,160,133,142,183,175,174,173,197,197,197,197,196,197,198,193,199,210,200,204,207,194,178,166,144,154,172,167,183,145,107,159,183,176,175,174,198,199,200,198,198,198,196,199,223,213,204,202,205,202,192,186,156,160,164,144,149,122,140,186,179,179,177,175,199,200,200,200,200,199,197,221,209,167,153,167,179,168,167,199,164,153,165,113,132,153,180,184,180,179,179,177,200,200,201,201,200,200,216,219,179,181,195,199,199,182,180,189,136,114,132,145,189,189,187,188,185,181,179,179,201,200,202,202,201,204,225,200,199,218,221,196,171,159,142,137,150,181,183,191,190,192,182,163,153,173,183,179,201,201,202,202,202,210,213,212,211,195,171,149,118,105,84,129,204,194,196,191,193,161,117,101,99,111,172,182,202,202,203,202,202,211,216,222,190,149,120,98,91,86,76,88,195,194,191,198,154,96,103,112,117,95,155,186,202,202,203,201,199,218,228,202,161,122,96,85,85,82,83,70,126,207,203,175,100,107,119,124,116,122,176,182,202,202,204,199,196,234,222,173,128,107,92,82,84,84,84,83,77,129,183,130,97,124,124,113,138,175,184,181,203,203,205,198,206,238,201,150,118,110,87,80,86,84,84,87,90,73,80,106,109,121,112,136,187,186,182,182,204,204,206,197,207,222,178,138,118,101,80,84,87,92,93,96,101,97,80,107,114,110,114,178,190,186,184,182,203,204,205,196,204,213,173,135,111,94,81,85,93,100,103,108,111,114,98,109,117,108,142,195,188,188,186,183,201,201,204,191,206,215,173,136,110,98,83,87,97,108,113,117,121,125,112,104,118,107,169,194,188,188,185,182,202,202,206,183,207,208,169,139,117,105,90,87,100,115,125,128,131,130,120,107,111,150,190,189,187,185,181,181,203,203,209,186,206,201,165,140,119,110,100,88,105,121,128,130,133,128,115,113,161,192,190,189,186,186,204,220,202,203,207,186,200,199,169,143,124,117,107,91,105,122,126,128,127,124,107,148,199,190,191,188,206,210,239,240,202,203,207,186,197,194,163,142,130,121,108,94,109,117,119,120,118,109,129,187,193,192,187,229,255,227,215,243,206,207,210,191,195,192,159,143,128,118,110,100,112,111,113,114,109,131,187,199,198,188,219,255,243,255,219,216,177,177,182,170,193,190,160,141,123,117,112,108,111,111,109,112,134,174,183,181,171,213,250,251,240,232,250,205,109,110,107,121,205,185,156,133,121,119,116,111,105,111,114,102,105,105,107,94,167,255,248,252,235,219,239,236,109,113,105,151,205,179,155,129,121,119,116,112,104,111,110,102,101,104,94,142,255,248,248,254,228,208,233,235
24,121,123,124,126,127,129,130,130,131,132,130,131,130,131,130,129,130,130,129,128,128,127,126,124,124,124,124,123,122,123,126,128,128,130,132,132,131,133,132,132,131,132,131,132,131,131,130,129,129,129,128,128,126,124,123,122,123,124,126,127,132,132,132,133,133,133,134,134,133,133,134,133,133,131,131,131,130,129,128,129,127,124,124,123,124,126,127,131,114,129,134,134,135,135,135,134,134,134,134,134,134,132,131,131,130,130,129,129,128,127,125,125,126,127,130,143,79,119,138,135,135,135,136,136,135,135,134,134,134,134,133,133,131,131,130,130,129,127,127,128,127,128,135,133,71,120,138,136,136,136,138,139,136,135,136,135,135,134,134,134,132,131,131,130,129,128,127,128,127,127,137,129,70,119,139,136,138,137,134,129,140,137,136,137,136,135,134,135,135,136,134,130,130,130,128,128,129,128,138,134,73,120,143,137,140,142,139,98,103,139,139,137,138,136,136,126,115,102,125,134,131,130,130,129,129,129,138,132,76,109,139,136,111,136,147,125,73,82,140,139,137,137,118,88,75,61,100,139,132,131,130,131,130,130,138,129,128,126,126,150,95,103,153,130,76,51,100,146,138,132,91,62,70,106,129,136,134,133,132,131,131,131,137,146,160,141,143,155,112,90,150,123,68,47,63,134,145,118,72,65,131,142,138,136,134,133,134,133,131,133,137,138,165,143,149,157,113,65,115,91,62,37,62,127,132,92,61,114,145,135,136,136,135,134,134,133,133,134,136,144,168,144,157,163,111,62,26,83,113,100,120,128,98,66,83,146,139,139,138,138,136,136,135,134,132,135,136,163,162,130,133,146,91,51,64,147,146,134,122,116,84,61,128,146,140,141,140,139,137,136,135,135,133,135,140,153,140,118,86,87,69,110,164,156,139,123,107,96,75,86,148,142,142,142,141,140,139,137,136,136,135,134,149,151,137,120,98,63,131,177,163,155,136,112,93,82,68,122,150,142,142,142,142,140,140,139,138,136,136,133,156,164,143,121,112,134,180,167,162,151,124,99,83,75,74,142,146,143,143,143,142,142,141,140,139,137,136,134,163,167,149,137,147,177,175,168,158,138,111,84,82,62,101,153,145,145,145,145,143,143,142,140,139,138,136,134,167,169,155,155,172,178,169,162,146,122,94,79,72,71,143,150,147,146,146,145,144,143,142,141,141,139,137,134,166,173,159,166,179,168,151,142,127,102,84,77,66,128,154,148,148,147,146,145,144,143,143,142,142,140,138,136,164,178,162,156,161,155,138,123,110,86,79,63,122,156,149,148,148,148,146,146,146,145,144,142,141,141,138,137,157,172,155,153,161,159,142,125,106,83,57,82,154,151,152,151,149,148,147,147,148,146,145,143,143,142,138,139,147,153,142,155,160,156,141,121,101,73,43,117,157,151,152,152,151,149,147,147,147,147,146,146,145,142,137,141,142,149,155,161,154,148,141,118,95,62,53,139,156,152,152,153,152,151,148,148,148,147,147,145,145,143,136,139,139,158,165,152,150,145,134,114,94,59,62,148,152,151,151,152,151,149,148,148,148,147,146,145,145,143,135,138,138,162,162,143,154,136,127,114,91,65,56,143,153,151,151,152,149,148,148,149,147,146,145,145,143,142,136,139,138,167,164,142,156,132,129,114,87,66,52,134,156,152,152,152,150,148,148,148,147,146,145,145,143,142,136,139,139,168,166,147,156,139,127,111,86,68,49,126,157,152,153,151,151,149,148,148,147,147,146,145,144,143
22,103,107,110,113,118,122,125,128,130,132,134,135,136,137,137,137,136,135,136,135,134,134,133,133,132,132,131,130,104,109,112,115,119,124,126,128,130,133,134,135,137,138,138,139,138,138,137,136,136,135,134,134,134,133,132,131,105,111,112,115,121,126,127,129,132,133,135,137,138,138,138,136,139,138,138,138,137,135,136,135,134,134,133,132,106,111,113,117,122,125,129,131,132,133,136,138,138,139,139,166,110,130,141,137,142,142,124,137,135,135,134,133,107,112,114,117,123,127,130,132,135,169,109,133,142,140,144,176,96,120,145,135,159,139,99,141,136,135,135,134,109,112,113,118,124,128,131,132,138,177,103,126,145,139,149,168,100,119,146,137,166,120,102,143,136,136,136,135,110,113,114,120,125,129,132,135,135,173,120,118,148,139,153,173,108,121,146,144,165,111,106,145,137,138,137,136,110,114,117,122,126,130,133,136,134,181,144,112,149,140,156,173,112,124,145,156,172,107,116,145,139,139,139,137,110,115,117,123,128,131,133,138,133,176,163,110,146,142,159,166,112,122,146,170,167,104,127,145,140,140,140,138,111,116,119,123,128,132,135,140,135,170,175,108,138,145,163,169,114,119,152,179,151,95,134,145,141,141,140,139,112,117,120,124,128,134,138,141,136,161,190,133,125,147,167,175,116,119,170,181,132,91,143,145,143,142,141,140,114,118,120,125,130,135,139,138,151,163,142,137,118,150,167,168,108,132,189,172,116,104,150,145,144,143,142,140,115,118,121,127,133,136,140,137,184,188,159,133,94,140,159,155,143,163,182,162,99,125,152,145,145,144,143,142,115,119,122,128,134,138,141,143,189,196,183,144,88,91,136,148,165,161,154,133,96,146,150,147,147,146,144,143,116,120,123,129,135,139,141,149,182,172,164,170,134,99,97,119,145,147,140,99,108,156,149,149,149,147,146,144,116,120,123,130,136,139,141,151,191,170,151,180,179,139,92,81,117,137,129,88,116,157,150,150,149,149,147,145,116,120,124,130,137,140,140,161,197,160,140,140,182,168,129,84,83,114,122,91,127,158,151,151,151,150,149,147,117,121,124,131,138,142,140,170,194,157,125,103,142,176,161,124,80,82,98,86,143,157,153,153,153,152,150,149,117,121,124,131,137,143,141,177,199,160,118,135,124,168,183,158,119,78,74,89,154,156,155,154,152,152,151,150,118,121,124,131,137,142,141,178,195,162,114,143,142,185,184,170,145,109,75,95,161,154,155,154,152,152,150,149,118,121,124,131,138,142,141,177,197,154,124,145,162,198,185,169,155,116,71,102,164,154,155,156,154,152,151,150,117,121,125,132,139,144,142,175,201,146,139,140,180,201,189,165,137,105,71,112,165,156,157,156,155,154,152,151,116,120,125,132,138,144,143,170,199,147,151,138,192,198,185,167,123,92,75,127,163,156,156,154,153,153,151,150,118,121,126,132,139,146,146,168,197,155,159,140,199,191,182,158,116,87,80,150,167,162,161,160,160,158,157,157,105,107,110,112,114,116,113,132,196,171,165,147,194,181,170,141,106,88,83,114,116,114,115,114,114,115,110,103,89,89,89,90,89,88,86,96,191,177,164,142,181,171,146,123,99,88,84,81,79,78,78,77,77,69,75,118,95,95,95,96,95,96,95,100,182,166,153,137,154,154,128,113,104,92,85,89,88,87,86,88,86,107,162,169,95,95,96,95,94,95,94,93,162,148,137,131,133,143,134,114,106,94,87,88,87,87,87,82,121,176,167,144
10,88,97,113,135,144,152,157,159,161,164,166,168,168,169,170,170,168,168,167,165,166,165,160,159,158,157,154,151,89,98,115,137,146,155,158,161,164,166,168,170,170,170,171,172,172,171,169,170,153,152,166,161,160,157,156,153,89,100,116,138,148,156,160,163,165,169,171,172,173,174,174,174,174,174,171,179,137,102,169,164,163,160,157,155,91,101,119,140,150,157,163,165,166,170,173,174,174,176,177,176,176,176,173,181,142,93,163,168,164,163,160,158,94,102,120,141,151,158,164,167,168,171,175,176,177,178,179,179,179,178,176,182,138,88,160,173,167,166,163,161,94,103,122,143,152,161,167,168,170,174,176,177,180,180,181,182,182,181,179,184,138,88,161,176,170,169,167,164,96,105,124,145,154,163,168,170,171,176,179,180,181,182,183,185,183,183,181,188,146,90,160,178,172,172,169,166,97,106,124,145,155,163,168,169,173,178,182,181,182,184,185,186,186,184,184,190,140,85,160,180,173,172,170,167,98,106,126,146,156,164,169,171,174,179,182,182,185,186,186,187,189,188,190,170,105,80,163,182,175,175,172,169,99,107,127,146,157,164,170,172,175,180,183,185,186,187,187,188,185,173,193,151,75,88,172,183,178,175,173,170,100,108,128,146,157,165,170,174,176,181,185,186,187,189,192,194,180,145,134,123,78,74,180,181,179,177,174,171,100,109,129,147,158,166,172,174,178,183,186,187,188,188,173,182,193,174,126,76,80,67,163,186,179,178,175,173,101,111,131,147,158,167,172,175,179,184,187,189,193,185,139,111,110,141,92,65,83,63,124,195,179,180,177,175,102,111,132,147,159,168,173,176,179,184,188,185,177,192,160,120,42,50,50,93,98,59,114,196,180,180,179,176,103,111,132,148,161,169,174,177,180,184,190,176,131,142,180,135,65,45,49,118,141,71,104,195,182,182,180,177,102,112,135,148,160,168,175,178,182,184,192,185,164,121,162,145,92,45,55,119,162,90,92,194,185,183,180,178,102,112,135,149,161,168,175,179,182,187,190,165,172,138,129,143,97,42,70,143,160,101,75,184,187,183,181,178,103,112,134,149,161,169,175,179,183,186,196,164,134,126,88,133,109,65,105,159,142,97,71,182,189,184,182,179,103,112,135,150,161,169,176,179,183,187,192,169,129,114,93,123,152,100,124,164,114,78,84,193,189,186,182,180,103,113,136,150,161,169,177,179,183,188,189,191,161,115,108,110,148,100,126,150,107,62,101,199,186,186,184,181,103,114,137,149,161,170,178,180,184,188,187,193,175,141,115,101,148,150,147,131,104,54,118,203,187,186,185,183,101,113,136,148,160,170,176,178,182,187,188,183,173,153,132,117,163,183,149,118,97,52,138,201,187,185,182,181,100,111,134,146,159,168,174,177,181,185,190,174,165,156,144,129,156,172,139,108,87,49,159,196,186,184,181,180,99,110,134,145,158,167,174,176,182,186,189,187,165,161,150,129,144,159,127,97,68,61,186,188,186,185,181,179,95,106,130,142,155,165,172,175,180,184,187,191,175,157,143,124,124,136,112,87,51,108,200,187,186,184,182,180,108,119,140,151,162,170,177,180,183,187,191,193,193,163,136,120,115,126,116,86,52,157,194,184,183,179,177,175,135,139,143,143,137,136,136,134,134,133,133,128,142,173,142,140,129,126,121,81,59,104,109,105,103,103,103,94,101,100,100,100,100,100,101,101,102,101,101,98,110,178,160,153,134,125,107,77,59,88,89,88,86,79,47,27
23,158,158,158,156,157,159,158,157,155,155,154,152,152,151,150,150,149,148,145,144,143,141,138,137,137,129,20,0,161,160,160,159,159,161,160,160,159,157,157,156,154,153,152,152,150,150,147,145,145,143,141,138,141,123,4,0,161,161,161,162,163,162,162,162,162,160,160,160,158,156,155,154,151,151,150,148,147,146,144,141,151,96,0,0,165,164,164,165,166,166,166,166,164,162,160,160,161,159,159,158,157,153,152,151,150,149,147,141,154,73,0,0,168,167,167,168,168,168,168,168,166,165,165,163,153,155,157,155,149,158,156,153,153,150,148,144,150,46,0,0,169,169,169,169,170,169,169,169,168,166,167,152,119,112,126,125,111,92,150,157,152,152,151,148,146,21,0,0,170,171,172,172,173,172,170,171,170,170,161,139,145,121,119,131,126,63,80,170,153,154,153,151,154,42,0,0,173,173,173,174,173,174,173,173,172,171,161,145,127,87,64,97,88,88,37,120,168,154,154,151,159,74,0,0,174,173,174,175,175,175,175,173,173,169,163,140,109,55,92,110,115,85,71,40,135,163,155,152,156,102,60,0,175,174,175,175,176,176,176,175,175,165,159,121,111,57,167,176,175,138,86,48,109,168,157,155,155,123,94,25,177,176,176,176,176,177,178,177,175,157,149,106,103,95,180,171,171,177,162,145,162,162,159,157,158,135,77,120,177,178,177,177,179,180,178,180,170,154,141,97,88,130,159,144,142,126,136,174,165,162,160,158,159,139,107,113,179,179,180,180,180,180,179,179,154,144,131,114,118,129,134,135,137,115,56,157,162,163,161,160,160,149,131,127,181,182,182,181,181,180,182,156,125,125,132,143,152,161,160,150,133,104,53,143,148,127,162,161,158,160,142,95,182,183,183,181,181,184,174,152,137,129,130,133,143,138,126,116,105,105,65,115,161,104,129,170,160,159,158,112,183,184,184,183,183,184,172,151,139,125,117,125,132,134,139,133,114,102,72,41,119,80,102,175,160,160,159,153,185,185,186,185,184,188,165,157,160,133,124,124,130,138,130,127,125,61,36,6,53,27,98,177,162,162,159,159,186,188,189,190,186,191,158,156,156,127,119,127,137,139,133,128,113,49,13,0,7,38,159,167,165,163,160,158,188,189,189,189,187,193,159,138,154,145,146,147,141,140,128,114,74,31,16,9,18,148,176,166,166,165,162,160,187,188,188,188,187,191,157,133,164,157,150,144,114,99,82,49,44,35,17,5,118,182,166,167,167,165,162,159,188,189,188,188,188,192,155,137,158,147,138,126,96,54,15,20,46,28,9,41,173,168,168,166,164,161,161,162,190,190,190,189,188,194,155,138,147,137,137,128,97,42,6,24,20,18,9,90,185,167,168,164,163,167,161,138,189,190,190,190,190,194,153,140,141,136,140,139,87,24,1,3,10,26,15,137,181,169,167,174,172,130,87,98,189,189,189,190,188,194,153,137,139,149,153,127,69,33,11,15,30,26,39,174,172,177,174,126,81,34,91,107,196,198,199,199,197,202,151,130,142,156,148,109,65,41,18,20,38,14,99,194,175,143,80,16,12,13,99,118,133,139,142,146,152,159,130,131,149,157,142,99,58,43,21,20,23,37,168,142,76,26,8,10,8,0,76,131,66,66,64,63,66,64,104,138,146,149,131,90,56,40,20,17,20,42,63,25,1,18,4,7,0,0,31,132,83,83,85,83,79,78,119,138,140,135,110,79,47,33,17,11,22,19,21,6,0,19,1,0,0,0,0,77
2,254,255,255,255,255,255,255,255,255,255,254,248,255,251,252,252,250,249,248,245,245,244,242,240,239,238,235,233,255,255,255,255,255,255,255,255,255,255,252,255,255,196,223,255,254,254,252,249,250,249,246,244,243,241,238,236,255,255,255,255,255,255,255,255,255,255,255,255,212,158,161,235,244,194,246,255,252,251,250,248,247,244,241,241,255,255,255,255,255,255,255,255,255,255,255,200,160,149,162,196,204,151,216,255,252,252,251,250,249,248,244,243,255,255,255,255,255,255,255,255,255,255,230,163,158,148,138,151,154,148,141,215,255,253,255,252,251,249,248,246,255,255,255,255,255,255,255,255,255,227,172,147,150,154,146,120,143,160,145,147,213,255,255,255,252,251,249,248,255,255,255,255,255,255,255,255,255,169,141,123,128,139,140,141,143,145,142,129,209,255,255,255,255,253,252,250,255,255,255,255,255,255,255,255,217,167,147,135,119,143,168,175,148,165,181,221,255,255,255,255,255,255,255,252,255,255,255,255,255,255,255,243,177,148,153,150,138,160,156,161,226,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,218,165,136,148,144,156,147,185,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,210,175,161,143,147,160,197,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,249,197,172,172,156,152,155,233,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,230,182,170,169,165,150,173,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,216,182,166,164,166,155,235,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,198,176,170,162,161,165,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,187,173,170,170,155,194,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,213,176,171,167,168,135,226,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,244,192,176,165,157,152,135,178,255,255,255,255,255,255,255,255,255,247,241,228,197,255,255,255,255,255,255,255,228,196,180,159,144,145,153,144,191,255,255,255,255,255,255,255,248,240,219,179,196,255,255,255,255,255,255,255,231,203,179,148,138,153,152,164,166,180,238,255,255,249,251,241,255,218,187,241,255,255,255,255,255,255,255,255,227,198,170,146,149,169,174,192,203,187,179,214,224,240,249,254,239,184,255,255,255,255,255,255,251,255,255,249,221,189,164,153,162,181,200,205,215,215,204,234,238,244,238,214,179,224,255,255,255,255,255,255,117,117,107,109,128,125,126,142,170,190,202,210,218,221,205,225,210,201,210,228,255,255,255,255,255,255,255,255,127,114,89,84,94,88,77,83,123,186,200,207,214,206,176,184,224,255,255,255,255,255,255,255,255,255,255,255,120,107,88,91,98,87,79,73,67,109,193,200,187,183,227,255,255,255,255,255,255,255,255,255,255,255,255,255,113,102,91,92,91,82,75,69,72,64,123,186,220,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,107,102,91,93,89,79,71,68,74,62,112,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,107,99,90,91,87,77,70,68,77,58,234,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255
24,125,131,138,149,157,162,167,171,176,178,182,184,186,187,187,187,185,184,184,183,181,179,177,177,176,173,170,168,127,132,141,153,161,166,171,175,179,183,186,188,190,192,192,192,191,190,189,188,187,185,184,182,180,178,175,174,130,134,144,156,164,170,174,178,183,187,190,193,195,195,195,196,195,195,194,194,193,190,189,188,187,184,181,179,131,137,147,158,166,172,177,180,186,190,194,196,197,197,199,199,199,199,198,197,196,194,193,192,191,189,186,183,133,138,148,161,169,175,180,184,188,193,196,200,201,201,202,202,202,201,201,200,200,199,197,197,196,194,191,188,136,140,158,167,172,178,183,187,191,195,199,202,203,203,204,205,205,204,203,203,202,202,201,201,201,199,196,193,134,157,166,132,179,180,184,189,193,197,201,203,206,206,206,208,207,207,207,206,205,205,206,204,204,202,200,197,134,167,154,94,177,183,186,190,196,200,203,205,205,207,208,210,214,210,207,209,208,207,208,209,206,204,202,201,136,173,154,89,172,186,188,194,199,201,204,208,214,212,213,188,162,208,211,208,210,211,209,205,212,208,204,201,137,178,143,84,170,188,190,193,196,207,205,207,173,191,240,189,119,132,216,213,205,187,171,131,147,215,207,211,139,172,138,82,170,189,199,183,143,179,222,214,137,107,172,198,152,99,191,203,190,159,115,87,178,227,206,177,141,172,151,85,163,190,215,212,176,153,207,216,155,117,107,198,168,117,140,167,200,131,95,176,194,140,77,52,142,174,166,95,144,195,208,236,226,185,142,216,180,151,110,181,171,111,93,187,172,93,86,98,57,38,46,41,147,165,186,146,151,186,207,204,235,209,145,157,208,158,103,129,150,89,122,205,127,77,47,39,53,58,52,49,150,154,197,178,170,189,207,165,187,213,149,98,200,180,114,70,84,93,175,178,98,53,44,42,38,56,52,44,152,154,185,198,193,213,214,192,165,183,145,82,171,196,123,57,64,150,183,143,76,32,38,52,34,42,54,50,153,159,176,223,202,185,192,177,147,161,152,104,117,153,93,84,118,154,151,111,53,46,25,42,46,35,44,55,152,162,172,221,204,167,180,165,128,134,155,131,101,100,148,175,164,161,123,84,21,48,39,26,41,36,39,48,153,164,173,211,213,151,139,151,135,136,155,167,143,163,230,214,182,171,108,66,8,31,53,33,29,38,36,39,118,124,120,164,216,167,125,140,177,146,192,223,202,226,236,207,181,162,97,65,19,15,46,49,34,35,30,35,106,109,102,127,222,197,147,124,165,162,204,223,230,241,228,196,172,147,86,54,34,6,32,50,43,40,31,28,111,113,113,116,207,210,170,136,137,169,191,229,236,231,212,184,162,139,81,32,45,5,20,45,44,45,36,24,113,114,116,109,187,219,190,155,137,162,179,227,235,222,200,174,152,136,84,19,49,16,6,36,46,41,38,33,111,113,117,106,163,221,201,169,152,161,168,215,228,209,190,171,144,128,82,20,44,30,1,22,44,39,37,36,110,112,114,109,133,213,204,182,161,167,160,200,220,199,188,170,130,116,74,21,39,41,7,8,38,40,32,33,110,111,112,113,112,187,205,191,171,174,157,177,208,193,191,162,117,107,56,7,35,44,21,1,25,43,27,30,110,111,111,113,108,138,207,199,182,175,162,155,186,185,178,149,109,99,46,0,19,46,34,8,9,38,31,21,109,110,110,111,114,108,175,204,186,174,159,141,154,170,155,132,107,87,32,0,5,41,38,21,3,22,38,18
23,153,156,159,162,165,166,169,171,171,172,172,171,172,172,172,170,170,170,169,168,167,166,167,166,164,166,179,189,156,159,163,165,168,172,173,174,175,176,176,176,176,176,177,175,176,174,171,170,169,170,169,168,167,168,154,151,159,163,166,169,172,176,178,178,180,180,181,181,180,177,177,177,173,176,179,174,173,174,173,171,170,171,160,111,162,167,170,173,176,179,181,183,184,185,185,184,184,192,205,206,180,150,166,177,179,176,176,174,173,172,175,144,165,169,173,176,179,182,185,187,188,189,190,212,213,219,225,211,197,181,173,171,167,183,180,178,177,176,174,174,168,171,175,178,181,185,188,190,192,191,202,225,198,177,171,133,145,165,161,134,141,187,182,181,180,179,178,176,170,174,178,180,184,188,190,193,195,192,216,212,196,108,123,162,177,161,142,145,181,190,186,185,183,182,181,179,172,176,179,183,186,189,193,195,197,198,224,210,191,146,175,180,206,199,199,200,195,192,191,190,187,185,183,182,174,178,181,185,188,192,195,198,198,206,219,205,213,223,192,108,183,205,196,194,196,195,194,194,192,189,188,185,176,180,183,187,189,193,196,200,199,211,219,224,233,220,186,110,169,201,206,204,200,197,198,197,196,193,191,194,177,182,184,188,193,195,198,201,199,218,231,230,209,203,165,165,218,155,158,186,199,206,200,200,199,196,200,159,179,183,186,190,194,198,199,201,214,224,220,197,178,193,178,186,211,159,99,91,114,182,208,201,200,202,192,89,181,185,188,192,195,197,204,219,222,211,199,201,207,215,210,171,167,154,103,90,87,128,214,202,199,210,145,80,181,186,190,193,195,210,218,216,214,216,222,226,221,208,193,158,104,142,116,102,95,131,213,207,214,208,102,83,183,188,192,195,198,218,207,205,201,199,208,205,191,178,170,144,86,85,104,104,92,144,224,189,168,127,86,85,184,189,193,196,202,226,212,193,188,194,195,195,192,185,177,141,94,65,94,111,105,114,126,94,72,72,82,82,186,190,194,196,203,220,210,196,197,204,208,206,186,173,162,125,95,76,114,132,119,73,59,79,76,78,80,79,188,191,193,198,201,208,211,210,210,200,201,164,142,148,140,118,94,74,96,128,118,80,62,63,63,80,77,75,188,191,195,199,203,206,211,208,202,185,163,128,87,102,141,120,87,84,104,116,106,72,71,66,62,67,72,68,189,193,197,201,204,204,203,213,213,172,133,109,80,108,153,113,77,92,107,113,90,69,66,68,69,63,64,66,189,193,196,200,203,201,197,220,207,134,107,77,86,117,108,82,91,106,105,104,78,73,72,59,61,68,66,68,189,192,196,200,204,199,195,214,186,136,113,86,66,68,73,91,106,115,114,92,63,70,74,64,53,58,61,73,189,193,197,200,204,195,196,215,186,140,119,92,70,78,102,114,120,120,113,84,55,60,73,73,57,52,57,62,189,193,197,200,204,192,205,218,192,146,124,102,86,88,115,121,123,118,104,74,57,60,64,73,64,50,56,54,194,198,201,206,210,197,202,213,191,155,128,113,94,88,105,121,123,118,92,58,60,59,62,65,71,56,51,55,164,169,174,179,185,179,201,207,188,156,129,121,101,95,95,119,124,116,73,51,61,56,57,60,63,64,47,50,118,119,121,123,118,134,200,199,179,147,132,134,103,99,100,112,121,88,67,61,58,55,50,58,58,61,54,44,128,128,129,131,120,122,202,187,164,138,143,138,103,101,100,111,87,54,67,64,63,58,49,51,56,57,56,42
20,129,132,135,139,142,144,146,149,150,151,152,153,154,155,157,156,158,154,158,156,156,155,155,154,154,154,153,152,130,134,137,141,144,146,147,150,152,153,154,155,156,157,158,157,185,131,141,156,157,158,156,156,156,156,155,154,132,135,139,143,146,148,150,153,154,155,156,157,159,161,160,159,197,123,140,145,133,165,158,159,159,158,156,156,134,137,140,144,148,149,151,154,155,156,158,160,160,161,161,162,194,128,159,158,110,167,161,162,161,160,160,158,135,138,141,145,149,150,153,156,157,158,160,162,162,163,161,165,201,143,157,175,108,162,164,163,163,162,161,160,136,140,143,147,150,152,154,157,159,160,162,163,164,167,162,170,204,143,161,190,116,158,167,166,166,165,163,162,138,142,145,148,151,154,157,159,161,162,163,163,164,164,163,179,195,138,173,186,116,155,171,168,167,166,165,163,140,144,147,150,154,156,158,161,162,163,166,167,167,179,166,179,198,136,179,182,110,155,172,169,169,168,166,165,141,146,149,152,155,157,160,162,164,166,167,162,185,214,190,132,154,136,179,179,112,160,173,171,170,169,168,167,142,147,151,154,157,159,162,163,166,167,171,191,185,171,179,137,96,103,159,161,115,165,175,173,171,171,170,168,144,148,152,155,158,161,164,165,168,164,191,211,198,144,159,164,155,125,114,134,110,169,176,174,173,172,172,171,146,150,153,156,160,163,166,166,169,168,197,161,155,184,124,166,190,155,96,101,104,173,175,175,174,173,173,172,147,151,154,158,161,164,166,167,170,168,197,151,93,107,79,106,182,168,116,89,96,172,177,177,176,175,175,174,148,152,156,159,162,166,168,170,172,172,195,157,142,110,92,83,152,199,147,93,91,174,180,178,177,176,176,175,150,153,157,160,164,167,168,171,173,175,206,190,146,115,107,110,129,212,175,112,82,171,182,180,179,178,177,177,151,154,157,161,165,167,170,173,173,177,209,176,129,112,116,129,152,214,192,134,86,164,185,180,181,179,179,178,153,155,159,163,166,168,171,173,173,177,208,180,142,129,132,140,187,214,189,147,93,162,185,180,182,180,180,180,154,157,160,164,168,170,173,175,176,179,212,192,156,137,146,162,213,213,179,145,96,161,189,184,183,182,181,181,155,158,161,165,169,171,173,177,178,180,212,200,169,142,157,182,214,209,175,139,98,161,192,185,184,183,183,183,154,158,162,165,167,170,173,176,178,178,209,206,173,156,159,199,213,196,171,135,94,158,193,184,184,184,184,184,155,159,162,166,167,171,174,176,178,177,206,209,178,175,163,202,211,184,164,129,88,156,194,185,185,182,182,182,155,160,163,166,169,173,175,177,179,177,198,212,188,188,175,189,201,174,156,127,81,157,194,185,186,185,183,182,155,160,163,166,170,173,175,178,180,180,189,211,195,192,181,168,184,156,149,117,79,163,193,187,187,186,185,185,156,160,164,168,171,173,175,179,180,181,185,210,204,187,163,149,162,145,149,113,84,182,191,187,188,185,189,188,157,162,165,169,171,173,175,178,184,192,185,209,197,170,138,129,151,144,142,94,109,196,188,190,189,194,179,122,153,159,164,169,172,176,179,186,170,91,70,200,185,153,129,123,160,140,128,73,149,208,194,195,198,177,107,83,117,118,120,123,125,129,130,136,126,65,16,159,196,161,129,136,175,120,100,56,49,140,165,163,160,102,74,75,88,86,89,91,92,91,90,92,105,110,74,100,171,151,132,150,166,97,78,35,23,69,93,98,106,85,64,55
7,202,201,202,201,201,201,201,201,200,200,198,197,195,194,193,192,190,188,187,186,184,184,182,181,178,175,173,172,204,204,204,203,204,204,204,203,202,202,201,199,198,197,195,195,193,192,190,188,187,185,184,182,180,178,174,175,206,206,206,206,206,207,207,206,205,203,202,201,200,199,199,198,196,194,192,190,189,187,186,184,182,179,177,176,207,207,207,208,208,208,208,208,206,205,203,203,203,202,201,199,199,197,195,193,192,190,187,186,184,181,179,178,209,208,209,209,210,211,210,209,208,207,207,206,205,203,202,201,200,199,197,195,194,192,189,188,186,183,182,180,211,210,210,210,211,212,212,210,209,208,208,208,207,205,205,203,201,200,199,197,195,195,193,191,188,186,184,182,213,212,212,213,213,213,213,213,211,210,209,209,208,207,206,205,203,202,200,199,197,195,194,192,189,187,185,184,214,214,214,214,214,213,214,214,213,212,210,209,209,209,208,206,205,204,203,201,200,198,196,194,192,189,187,185,215,215,215,215,215,215,215,215,214,213,212,211,211,211,209,207,204,203,200,197,194,188,187,186,188,191,189,187,216,216,216,216,217,217,216,216,216,212,208,205,201,194,185,175,165,150,147,149,149,133,137,162,159,183,191,189,217,217,217,217,217,218,214,199,178,160,152,148,148,142,134,131,129,110,114,118,114,112,119,147,138,175,193,191,218,218,218,219,218,208,188,168,147,119,120,125,126,128,126,126,109,102,96,94,93,94,85,105,139,180,194,193,219,219,220,214,193,178,172,163,142,111,104,104,104,108,111,114,111,116,109,87,91,88,83,87,94,112,160,193,220,220,207,179,166,166,165,157,147,131,118,116,118,126,129,128,128,122,110,78,81,84,75,72,66,87,121,191,221,202,173,165,164,164,158,157,155,143,126,122,122,129,122,117,113,106,91,70,70,73,71,72,71,87,143,193,196,176,171,167,165,162,160,163,152,129,92,85,94,97,94,96,99,101,104,117,138,153,163,167,171,177,191,195,170,175,175,170,167,166,162,147,133,107,68,66,69,63,122,174,185,195,202,205,208,207,207,205,202,200,199,197,169,174,173,170,168,160,143,129,124,102,79,59,52,53,70,172,217,214,212,209,207,206,205,202,201,196,176,152,169,169,173,174,165,147,130,119,118,124,115,72,50,51,48,138,216,214,213,210,207,206,205,202,185,127,85,71,167,171,174,167,148,125,116,112,115,124,108,64,48,47,85,193,216,214,213,213,210,201,179,138,95,62,51,54,168,169,163,146,127,114,109,104,101,101,76,51,38,68,187,217,216,216,212,189,155,117,83,61,53,53,45,49,164,155,139,128,122,116,112,99,83,81,71,54,42,87,211,202,194,190,158,100,71,57,54,53,53,54,42,42,145,135,128,122,113,103,90,77,71,82,82,57,48,111,139,95,86,81,68,58,63,51,45,49,52,52,40,35,135,131,123,106,90,82,76,75,78,83,69,54,64,78,53,44,50,43,50,44,47,49,31,40,49,51,38,33,130,122,108,95,88,85,78,73,70,63,60,68,67,62,51,32,45,37,40,37,39,39,26,33,45,48,33,34,111,97,89,88,86,81,72,65,64,66,66,61,53,49,45,29,34,35,31,33,35,30,22,29,43,43,29,34,73,65,69,73,74,74,78,79,64,63,56,50,43,45,39,33,22,32,26,29,32,24,22,29,41,40,26,35,56,87,102,102,101,104,103,82,55,45,49,48,37,39,35,33,16,24,25,27,32,22,23,31,40,38,24,38
18,174,175,175,177,178,178,177,178,178,176,175,174,174,173,172,172,172,171,170,169,168,167,165,164,163,162,160,159,175,176,177,178,178,179,179,179,179,178,177,176,176,175,175,175,174,173,172,172,170,168,166,165,164,162,160,160,177,177,178,179,179,180,181,181,180,179,180,178,177,179,178,171,165,172,174,174,172,171,167,166,165,164,163,161,178,179,179,180,180,181,182,182,181,181,178,149,131,160,168,137,112,126,170,159,140,146,167,168,166,166,165,164,179,180,180,181,182,183,183,182,180,184,177,137,106,100,141,138,103,81,119,129,106,91,130,171,169,166,165,164,180,181,182,182,183,184,185,164,140,153,171,145,119,96,122,157,111,92,77,114,108,82,78,161,170,168,166,165,181,183,184,184,184,185,189,164,135,119,138,159,126,103,101,155,115,102,97,97,105,91,65,142,172,169,167,166,182,184,185,186,186,187,188,174,154,134,111,144,138,106,86,124,127,117,111,105,117,102,67,141,173,171,168,167,182,184,185,187,187,190,178,172,163,140,116,105,135,111,88,99,133,126,116,113,116,100,67,143,175,171,170,169,184,185,187,188,187,192,176,142,149,137,105,74,121,114,86,81,123,117,114,113,109,97,65,131,177,173,170,169,185,186,187,189,188,191,164,110,124,130,83,60,99,96,70,66,101,83,100,128,126,102,71,116,178,174,171,170,185,187,188,189,188,193,166,132,120,125,78,60,83,77,60,56,78,64,85,154,141,111,79,99,178,175,173,172,187,188,188,189,190,195,177,153,118,120,91,65,81,83,60,54,73,62,68,140,145,119,87,81,171,177,175,173,188,188,189,189,191,195,179,148,118,100,83,60,82,88,59,52,71,103,134,148,160,134,96,68,156,179,176,174,188,189,189,190,192,193,163,131,109,89,71,59,67,66,59,69,104,153,164,153,153,135,97,64,144,181,177,175,188,189,191,192,193,193,174,149,125,103,84,79,75,79,99,125,156,171,166,159,135,120,87,61,148,181,177,176,190,191,193,193,193,195,183,159,132,104,84,82,91,107,132,157,177,175,159,146,125,98,75,70,167,180,179,178,191,192,193,194,194,194,186,165,138,111,94,91,96,114,153,175,184,173,150,134,114,87,61,99,181,180,180,178,191,192,193,194,194,193,187,171,146,124,105,100,97,127,168,182,180,165,143,125,108,79,55,141,184,180,179,178,192,193,194,195,195,191,184,170,148,129,113,107,103,137,175,176,169,156,137,117,100,72,70,172,183,181,180,179,193,195,196,197,196,190,176,162,147,132,120,116,109,141,173,169,160,146,130,109,90,61,103,185,183,182,181,179,193,195,196,196,197,193,174,164,152,136,126,126,114,143,165,163,151,132,118,101,79,56,145,187,183,182,181,179,195,196,196,197,198,197,180,163,154,143,134,129,116,143,159,157,145,124,106,88,65,76,178,186,184,182,182,180,195,197,197,197,198,200,188,165,157,149,137,126,113,131,153,147,134,114,94,76,52,126,189,187,185,184,182,181,195,197,197,197,197,199,195,177,164,151,140,128,116,120,140,137,121,102,83,61,71,176,188,187,186,185,183,181,195,195,196,198,199,201,198,186,170,156,143,133,122,118,130,128,111,93,74,50,127,191,188,187,187,185,184,181,195,196,196,197,199,200,199,193,177,155,140,131,126,123,124,122,106,88,63,75,179,191,189,188,187,186,184,181,196,197,198,198,199,201,198,193,178,158,149,146,140,133,121,117,101,80,55,122,193,191,189,188,187,186,184,182
21,145,148,152,155,158,159,162,163,164,166,166,167,168,168,169,167,166,166,166,164,165,164,162,163,161,159,159,158,144,149,153,157,158,161,163,165,166,166,168,169,171,171,169,169,171,168,168,166,165,165,164,163,163,160,160,159,146,150,153,157,159,163,164,165,167,168,170,172,173,171,178,141,141,176,169,170,168,166,165,164,164,163,162,161,148,151,155,158,161,164,166,166,168,171,173,173,173,173,194,123,99,179,170,170,169,168,167,165,166,164,163,161,147,152,157,160,162,166,168,168,170,173,175,174,172,176,190,123,111,179,172,172,171,168,169,170,168,166,166,165,149,153,157,162,163,165,168,171,172,173,175,176,172,183,189,120,114,181,172,173,171,145,119,169,170,168,167,166,152,156,159,163,166,167,170,172,173,174,175,177,175,188,188,121,120,183,173,173,168,131,91,166,172,169,168,167,152,156,160,164,167,170,172,173,174,175,177,179,177,190,184,122,123,184,174,173,164,122,106,177,171,171,170,168,151,155,160,164,167,170,172,173,176,178,178,180,176,193,180,121,119,186,175,172,158,108,129,182,173,173,171,169,152,157,161,165,167,171,173,174,177,179,179,181,177,198,181,119,115,186,177,170,154,102,157,180,174,173,172,171,154,158,163,168,170,172,174,175,178,180,181,182,179,206,182,112,127,189,170,165,134,106,178,177,175,174,174,172,155,160,164,167,170,173,175,177,180,180,180,179,186,203,164,102,140,187,166,164,106,125,185,177,176,175,175,174,156,161,164,167,170,174,176,178,179,186,165,133,157,182,133,88,145,185,174,152,95,161,184,178,176,176,175,175,156,162,166,169,172,174,176,180,178,189,163,116,106,102,98,82,153,180,174,125,107,185,180,180,179,178,177,175,156,162,165,169,173,175,178,180,185,182,176,157,137,96,77,100,139,155,151,98,140,191,180,181,180,179,178,177,158,163,167,170,174,177,180,179,197,202,192,206,172,126,78,92,106,121,116,92,172,187,181,182,182,181,180,179,159,163,167,172,174,178,178,189,183,181,188,202,162,110,86,81,93,101,92,113,191,185,184,184,183,182,181,180,159,164,168,173,176,179,178,197,156,146,176,151,156,120,95,84,80,91,81,144,197,185,185,185,184,184,181,180,160,164,169,173,177,180,179,200,181,151,123,96,163,144,104,88,78,84,82,164,195,186,187,186,185,184,182,183,160,164,170,174,177,180,183,201,168,125,104,82,141,162,121,96,86,83,77,163,196,187,187,187,186,185,183,183,161,165,170,175,179,179,188,203,160,144,141,109,167,179,138,119,92,88,77,162,198,187,187,188,187,187,185,183,161,166,171,176,180,178,196,205,170,164,130,150,222,180,143,133,99,91,84,168,198,189,189,189,188,187,186,185,161,166,171,176,180,179,197,206,190,153,137,207,211,167,136,131,106,94,88,173,198,191,191,189,189,188,187,186,162,167,172,177,181,180,196,219,190,147,156,213,195,163,132,120,109,95,98,185,197,192,192,191,190,189,188,187,160,166,172,176,180,179,196,210,166,161,159,211,191,168,150,111,102,94,109,194,194,192,192,193,190,189,189,188,158,165,171,174,177,178,192,191,163,184,150,208,192,160,149,116,100,93,124,198,192,193,192,191,189,187,187,187,159,165,171,175,178,180,187,183,195,191,155,204,178,147,129,111,103,93,137,200,192,194,192,191,190,188,188,187,159,166,172,176,179,181,184,187,198,177,149,190,165,136,112,102,100,90,152,200,193,195,193,191,190,188,189,187
1,136,137,139,140,142,143,143,143,144,144,144,143,143,143,143,141,139,142,138,138,137,136,135,134,132,131,130,130,137,139,141,142,144,145,144,145,145,144,145,145,144,145,143,145,136,114,141,141,137,137,136,136,134,132,132,131,138,141,143,145,145,147,147,146,147,146,147,147,146,146,144,155,141,70,123,137,140,138,138,137,136,135,134,132,140,143,144,146,147,149,150,150,149,149,149,149,147,151,134,136,138,82,124,92,130,143,140,138,137,137,135,134,143,145,146,148,149,151,152,151,151,151,151,152,148,161,119,104,126,83,137,87,117,149,142,141,140,139,137,137,144,146,149,150,150,152,153,152,153,153,153,153,153,164,108,107,129,86,132,85,106,153,143,143,142,140,139,138,146,147,149,152,153,153,154,155,155,155,155,153,146,162,94,104,127,85,130,88,100,155,146,146,144,143,142,140,148,150,152,154,155,156,156,157,158,157,158,157,113,151,92,99,125,84,129,97,99,155,148,148,146,146,144,143,149,152,154,156,157,157,158,158,158,158,166,143,94,142,85,113,127,84,123,96,99,156,149,149,148,147,145,145,151,153,155,156,158,159,159,159,160,159,171,126,87,129,82,141,131,87,138,111,95,159,152,152,150,149,148,146,152,154,158,159,158,159,162,163,162,161,172,115,95,141,88,136,114,85,153,116,100,160,154,154,151,150,149,148,153,156,159,161,161,163,163,164,163,168,172,94,101,136,72,113,88,80,151,106,103,162,154,155,153,152,151,150,155,157,159,162,164,165,164,165,163,175,168,101,130,109,82,114,101,118,146,101,105,163,156,157,155,153,152,150,157,158,161,163,165,166,165,166,163,182,154,95,147,137,129,121,112,137,131,98,106,165,156,157,158,156,155,152,158,159,162,164,166,167,168,168,166,183,153,132,115,142,157,156,123,99,105,91,105,167,160,159,158,156,155,153,159,161,164,165,166,168,168,168,172,180,157,134,92,114,122,149,152,130,97,72,103,169,162,161,160,158,157,155,159,163,164,165,166,168,170,167,179,178,136,111,102,106,110,142,159,151,134,88,98,172,162,163,160,159,159,157,160,164,166,166,168,170,171,167,185,180,128,115,121,114,136,155,156,165,142,120,87,154,167,163,162,159,158,157,162,164,166,168,170,171,172,169,188,181,135,121,123,123,157,178,165,155,135,119,80,142,170,163,164,162,159,158,162,165,167,168,170,171,172,169,185,185,150,130,119,133,176,186,165,141,116,101,80,142,171,163,163,163,161,158,162,165,168,170,171,173,172,170,182,193,166,136,125,130,186,193,159,126,104,85,79,142,173,165,164,164,161,159,163,166,168,170,172,174,174,173,178,190,165,140,130,121,185,179,148,117,98,82,86,159,171,167,166,164,163,161,164,166,169,171,172,173,175,174,176,184,162,149,131,128,175,162,136,110,93,80,102,171,168,169,167,165,164,162,164,166,169,171,173,174,175,175,175,178,171,166,140,150,167,146,123,103,90,81,137,175,169,169,167,165,164,163,165,167,169,171,173,174,174,175,175,174,174,167,138,134,147,132,110,95,85,93,166,172,171,169,168,166,165,163,165,168,170,172,173,174,176,176,177,176,168,152,131,120,126,122,106,94,82,111,177,171,171,170,168,166,165,165,166,168,170,172,174,175,176,176,176,177,162,140,129,130,126,123,120,94,80,137,178,172,170,170,168,166,165,165,164,166,169,171,173,173,174,174,174,174,171,152,151,145,129,118,118,88,77,157,175,170,170,170,167,166,164,164
0,140,140,142,142,143,143,143,144,144,144,143,144,143,143,143,143,143,142,141,140,142,141,139,138,138,138,138,137,142,143,143,144,144,145,144,144,144,143,143,145,144,144,145,144,143,143,144,143,142,144,142,138,138,141,140,139,144,146,147,147,147,148,147,147,145,147,146,146,145,146,147,149,145,144,145,146,144,138,131,143,140,141,140,141,147,149,149,147,148,149,149,149,148,148,149,149,148,148,131,113,137,142,120,107,140,144,79,139,143,141,141,142,148,149,148,148,149,150,151,151,150,150,139,121,141,161,135,95,71,128,117,92,75,125,91,94,153,141,142,142,148,149,149,150,151,151,151,150,151,167,144,101,108,164,136,118,68,122,125,115,68,58,131,76,111,145,146,144,148,151,150,152,152,151,155,130,122,172,148,126,110,160,137,125,65,127,128,110,78,28,112,113,77,84,148,144,149,151,151,152,150,158,170,145,98,140,167,130,100,167,144,120,54,135,126,89,84,10,63,131,108,47,123,151,151,152,153,154,151,167,169,159,135,96,170,135,87,162,149,115,51,105,112,69,69,0,75,143,124,62,105,155,152,154,154,154,159,160,157,166,142,75,146,145,81,135,149,101,50,52,84,60,50,2,112,147,126,65,96,158,152,153,154,152,160,146,109,137,114,60,107,129,74,88,115,73,55,20,48,67,39,26,125,142,120,61,87,158,152,153,155,154,157,161,119,125,91,42,77,101,62,49,82,60,39,9,83,124,102,98,118,128,113,56,83,160,153,156,158,157,161,172,142,130,93,56,62,83,63,31,61,78,75,119,148,134,125,114,95,101,105,61,73,160,156,158,158,156,167,167,138,115,98,72,38,91,91,18,67,144,159,161,147,131,118,105,88,78,88,68,66,157,157,158,159,155,173,183,162,141,116,83,57,86,85,91,153,170,162,152,141,127,113,98,79,69,73,59,81,159,158,158,160,157,175,185,169,146,124,118,117,114,134,165,170,162,156,145,136,123,106,88,70,65,68,51,128,159,159,159,161,158,180,191,171,148,131,127,126,140,155,160,167,162,148,143,128,112,100,79,65,70,54,102,161,155,159,160,163,161,182,195,177,161,148,138,140,152,160,164,164,152,144,139,118,103,89,71,68,56,73,160,157,157,159,160,162,159,179,196,185,168,153,143,141,153,165,162,155,141,133,128,109,93,78,70,65,50,135,163,156,157,160,161,163,161,173,194,191,178,156,141,135,141,147,143,144,128,113,113,93,81,76,67,49,115,164,157,159,159,162,163,164,164,166,188,186,173,157,140,133,139,141,144,142,125,106,103,83,74,67,59,116,163,158,160,161,159,163,163,165,165,163,174,174,158,146,129,132,138,133,143,135,120,110,98,80,61,62,134,166,160,160,161,161,160,163,164,165,165,165,170,158,155,150,139,151,143,119,137,133,113,99,88,67,46,133,169,160,161,161,160,162,161,164,165,166,166,166,170,166,173,165,155,152,144,111,126,133,108,90,78,41,91,173,161,164,164,163,163,162,161,164,165,166,166,166,172,183,181,170,145,143,140,105,124,120,101,86,66,42,142,170,163,165,165,162,163,164,163,164,165,166,166,166,164,192,181,167,136,139,135,110,117,106,98,84,52,55,163,166,165,165,164,163,165,164,163,165,165,167,166,166,160,185,174,159,132,140,143,107,99,104,93,81,49,68,173,164,167,166,165,165,165,164,163,165,165,166,166,165,163,184,164,151,131,141,139,97,105,102,89,78,47,70,173,165,167,166,166,165,166,165,164
4,186,186,187,187,187,188,188,187,187,187,187,188,187,187,187,185,184,182,182,182,181,180,178,177,175,175,174,173,188,189,190,190,190,190,190,190,190,189,189,189,191,189,188,187,185,185,185,184,183,181,180,179,178,177,176,174,193,193,193,193,193,193,193,193,193,193,192,189,186,190,192,183,157,148,178,188,185,184,183,182,182,180,179,178,195,195,195,195,195,194,194,194,194,194,192,179,155,155,184,184,153,117,134,177,154,157,182,185,183,182,181,180,198,197,197,198,198,197,197,197,197,196,199,198,174,145,136,173,168,131,99,144,137,105,145,189,185,185,183,182,199,198,199,200,200,200,199,200,198,192,188,188,192,168,126,126,173,147,98,122,142,103,98,185,187,187,186,184,201,201,201,201,202,202,202,202,194,183,175,140,152,163,110,93,167,145,96,106,145,116,85,181,190,188,187,186,203,203,203,203,203,203,203,203,196,188,178,132,110,142,103,83,145,116,76,120,149,122,96,188,193,191,190,189,204,204,205,204,205,206,205,204,188,151,167,144,105,126,126,83,115,101,68,125,122,89,111,197,195,194,193,191,206,206,206,207,207,206,206,206,196,145,132,163,132,117,150,95,99,119,119,121,85,56,133,201,197,196,195,193,207,207,207,207,208,207,206,207,188,130,106,154,134,151,159,138,140,141,161,133,76,59,168,200,198,198,196,195,208,208,208,208,208,208,208,208,191,164,151,125,86,159,157,147,154,144,152,125,85,79,190,202,200,200,198,196,209,209,209,209,210,210,209,209,202,182,144,103,72,102,130,125,127,122,117,115,100,81,165,205,202,200,199,198,210,210,210,210,211,210,209,207,202,172,129,92,78,81,99,112,113,107,99,124,117,93,103,196,203,201,201,200,211,211,211,211,211,212,210,207,195,156,116,88,85,101,112,141,151,147,130,135,137,121,83,148,207,202,202,201,213,213,213,213,213,213,211,204,195,165,128,96,95,106,133,171,176,187,175,154,171,145,94,98,202,204,203,202,214,214,214,215,214,214,212,202,196,169,131,95,94,115,151,185,190,201,202,182,166,143,91,91,201,206,204,203,215,215,215,215,215,215,213,197,195,179,140,104,100,119,157,194,200,205,196,178,154,117,75,123,209,207,205,204,215,215,215,215,216,216,214,193,194,187,149,118,108,117,167,201,209,206,187,165,141,99,70,170,211,208,206,205,216,215,216,217,217,217,217,192,188,187,158,126,112,122,175,206,208,198,177,153,130,85,91,203,210,208,207,206,216,216,217,217,217,217,218,196,176,179,159,130,115,129,184,203,197,186,165,138,113,73,138,214,210,209,208,207,215,216,216,217,217,217,218,208,174,178,165,135,126,134,188,195,186,173,150,122,93,76,188,215,212,210,208,208,215,215,215,216,216,216,217,216,185,178,170,149,143,131,182,185,180,158,133,106,73,115,212,213,212,210,208,208,215,215,216,216,216,216,216,218,199,176,172,160,144,124,164,172,168,143,111,84,71,179,213,210,209,209,208,207,216,215,216,217,217,217,217,219,207,181,170,155,138,123,144,152,141,114,85,61,129,214,213,212,211,210,209,208,216,216,217,217,217,217,218,219,209,188,173,154,136,125,132,140,119,89,64,79,197,216,214,213,211,210,209,208,216,218,217,217,217,217,219,219,200,189,175,158,144,135,131,134,118,83,58,136,218,216,215,214,211,210,209,209,216,216,217,217,217,217,219,215,187,187,178,169,164,150,137,128,110,77,66,177,219,216,214,214,212,211,210,202
7,114,118,122,126,129,131,133,135,137,138,140,140,140,140,140,140,140,140,139,139,138,138,137,136,135,134,133,132,115,119,123,127,130,132,135,137,137,139,141,141,143,143,142,142,142,141,140,140,140,139,139,138,137,135,135,134,116,121,125,129,131,134,136,138,140,140,141,143,144,143,143,143,143,142,141,142,141,140,139,138,138,136,136,136,118,123,126,130,134,135,137,140,142,142,143,145,145,145,145,145,145,144,144,142,143,143,140,140,140,138,137,137,119,124,127,131,134,136,139,142,142,144,145,146,147,146,146,146,147,148,147,144,141,141,141,143,141,139,139,138,120,125,128,132,135,138,139,142,142,146,146,148,150,151,150,147,144,139,137,119,135,160,122,140,144,142,140,139,122,126,130,134,137,139,141,144,145,146,147,147,143,135,131,132,130,120,121,109,126,143,98,136,142,141,143,141,123,127,132,136,138,140,142,144,144,144,138,129,116,99,110,123,126,107,97,90,84,100,103,150,160,102,142,143,125,129,134,137,140,142,139,122,118,119,118,118,110,102,89,93,82,82,102,104,103,109,120,141,136,84,142,145,125,130,134,138,142,147,132,118,119,112,104,106,108,97,86,81,96,122,139,124,113,107,92,78,90,125,148,144,126,130,134,139,150,141,126,124,118,94,95,113,124,109,104,96,95,109,113,96,78,68,81,110,138,151,147,146,127,131,139,144,136,133,132,129,101,68,86,98,100,90,88,87,70,75,67,71,94,124,151,155,152,148,147,147,127,136,144,139,137,134,126,129,110,75,73,61,52,44,46,53,62,86,120,145,158,158,152,151,150,150,148,147,140,145,142,142,140,126,122,120,122,105,66,45,25,68,115,121,141,158,162,157,153,152,154,154,152,151,151,150,147,143,140,136,128,124,124,124,123,102,72,52,46,65,138,170,159,158,157,156,156,155,154,153,153,153,152,151,147,141,131,126,121,118,112,109,103,86,67,46,51,47,33,114,166,157,159,157,157,157,155,154,154,153,153,153,141,131,124,118,112,108,103,98,96,87,65,40,43,62,46,55,164,160,160,159,158,158,158,156,155,154,154,153,135,131,118,114,107,104,104,102,102,101,70,40,35,53,49,63,167,160,160,160,160,159,158,158,157,155,153,152,66,114,117,113,108,105,101,101,102,94,65,45,44,30,33,39,128,169,159,161,160,159,159,159,158,156,154,153,15,33,93,119,112,107,100,93,84,70,57,54,51,41,32,27,109,174,160,162,161,160,160,159,158,157,156,155,23,12,17,87,118,105,97,88,79,66,58,53,56,43,57,91,155,167,163,164,163,162,161,160,159,159,158,156,18,16,11,15,84,93,79,69,65,49,34,45,48,49,153,173,166,165,165,164,164,162,161,161,160,158,158,157,14,12,11,6,20,54,53,57,47,22,22,33,59,140,173,163,165,166,166,165,164,163,162,161,160,159,159,158,10,7,6,9,4,0,12,139,111,41,66,101,156,172,166,167,167,167,166,165,164,164,163,162,161,161,159,158,0,2,5,9,6,0,123,169,164,159,165,173,169,167,168,167,167,167,167,166,166,166,165,163,162,162,160,159,30,3,1,13,3,113,170,158,163,167,166,165,168,169,169,169,167,169,168,167,167,165,165,164,163,162,160,160,21,26,10,0,41,167,155,161,163,164,166,167,168,169,169,169,168,168,167,166,166,165,165,164,163,161,160,160,0,13,11,0,65,168,155,160,161,163,165,166,167,166,166,168,168,167,167,166,165,165,164,164,162,160,160,160
6,204,206,208,209,211,212,213,214,213,213,213,212,211,210,209,209,207,206,205,204,203,201,198,197,196,194,192,191,204,206,210,212,212,213,214,214,215,215,214,213,212,212,211,211,210,208,205,205,205,204,201,199,197,196,194,192,206,209,213,213,213,214,216,217,218,217,215,215,215,213,212,211,211,210,209,207,205,205,203,201,199,197,195,194,207,210,213,214,215,216,217,218,218,218,218,217,216,215,214,212,212,212,211,209,207,205,204,202,200,198,197,196,209,212,214,215,217,218,218,218,219,219,219,218,217,217,216,215,213,213,211,210,209,206,205,203,201,199,198,197,208,212,215,216,218,219,219,220,220,219,220,220,220,218,217,216,214,212,211,212,210,208,207,207,203,200,200,198,209,212,215,217,219,219,219,219,220,220,219,219,219,219,218,219,219,219,217,214,214,213,211,205,201,197,195,197,211,214,216,218,220,219,219,220,220,221,224,225,225,223,220,214,205,191,178,164,152,161,162,154,141,158,182,166,211,215,217,218,218,221,223,226,224,221,209,195,183,179,173,168,160,153,143,134,125,139,136,140,137,140,154,135,212,214,219,221,223,218,206,194,187,178,162,152,146,149,153,162,160,154,133,126,117,113,114,119,117,117,136,172,215,218,215,206,194,172,160,159,156,154,151,137,118,122,126,116,114,116,121,131,145,162,172,182,186,196,206,207,197,181,170,169,168,163,161,161,159,158,156,146,108,89,80,129,170,188,206,216,224,222,220,217,215,210,205,202,175,168,171,176,174,170,168,170,169,169,166,152,112,96,91,179,224,236,229,219,216,213,212,212,210,208,206,205,178,176,172,171,168,166,163,159,161,164,153,124,97,100,108,97,107,146,201,227,218,217,216,213,211,208,206,206,181,176,172,169,166,161,156,152,147,145,133,109,97,103,110,111,106,92,92,170,226,217,216,214,212,210,209,207,178,173,169,165,163,156,153,150,147,153,150,121,90,83,98,115,117,115,99,106,223,218,218,216,213,211,210,206,172,167,163,157,154,150,149,143,146,158,161,125,93,87,81,77,89,106,86,142,229,218,217,216,214,212,210,208,167,163,153,147,148,144,142,133,135,143,129,105,99,103,103,91,72,92,161,220,223,221,219,217,215,212,211,209,155,155,148,141,138,135,131,123,119,125,109,88,90,101,105,102,90,110,230,225,222,220,218,217,216,213,211,210,145,152,147,140,133,131,129,126,129,132,115,82,72,85,99,106,94,84,210,226,220,220,218,217,217,215,211,210,132,146,148,145,137,127,124,128,137,132,110,93,96,94,83,85,99,161,230,223,224,222,220,218,217,214,211,210,100,112,126,135,132,124,120,119,116,103,92,89,92,95,75,123,221,232,226,225,224,221,220,219,217,214,212,211,39,114,164,130,111,116,120,127,128,142,162,159,125,103,120,208,237,224,227,226,224,223,220,218,218,217,214,211,31,184,240,221,209,215,222,228,231,238,240,240,234,222,235,232,225,227,226,225,223,221,220,218,217,215,213,210,80,219,220,223,228,229,228,229,230,228,227,228,229,232,228,226,226,225,225,224,221,219,218,216,214,213,211,209,172,226,219,221,223,225,226,228,230,231,230,231,230,229,228,227,226,225,224,223,222,219,217,216,215,213,212,210,220,217,221,223,225,226,228,229,230,230,230,230,230,230,229,227,226,225,224,223,221,219,218,217,214,212,210,210,212,218,221,223,224,226,227,228,229,230,230,230,230,230,230,228,225,224,224,223,221,219,217,214,214,212,209,208
19,170,172,173,175,177,178,180,181,181,182,182,182,182,182,182,181,181,181,180,180,179,179,178,177,176,175,174,173,171,173,175,177,179,180,181,182,183,184,184,184,184,184,183,183,182,182,182,181,180,180,180,179,178,177,176,175,173,175,177,179,181,182,183,185,186,186,185,185,186,186,186,185,185,184,184,183,182,181,181,181,180,179,177,177,174,176,178,180,182,183,185,186,187,187,187,187,187,187,187,187,187,186,185,185,183,183,182,182,181,180,179,178,175,178,179,181,183,185,186,187,188,189,189,189,189,189,188,188,188,187,186,186,185,185,184,183,182,181,181,179,177,179,181,183,184,186,188,189,190,191,191,192,192,191,190,189,189,189,188,187,187,186,186,185,184,183,182,181,179,181,183,185,186,187,189,191,192,192,193,193,192,192,192,186,185,190,189,189,188,188,187,186,186,185,184,183,180,182,184,186,187,189,191,192,194,194,193,191,190,193,198,176,154,180,190,190,190,190,189,188,187,186,185,185,181,183,185,188,189,191,193,194,194,195,191,172,159,171,189,171,127,152,182,188,189,190,190,189,188,187,186,185,182,184,187,189,192,193,194,195,195,192,182,158,133,128,134,138,123,123,139,149,163,171,175,176,178,174,173,181,183,186,188,191,193,194,195,195,191,185,183,179,160,122,93,101,115,115,115,111,119,133,139,136,144,138,144,169,185,187,189,192,193,194,193,188,180,181,189,187,161,113,78,74,88,97,101,97,101,114,120,119,123,123,128,152,186,187,190,193,194,193,190,184,179,180,185,184,165,123,80,66,67,71,77,81,88,96,102,103,105,109,116,131,186,188,191,193,193,191,190,186,182,179,184,189,181,145,92,66,64,63,88,120,134,138,139,140,145,149,157,167,187,189,192,193,193,192,190,189,186,184,188,191,183,152,99,67,63,67,118,181,193,192,190,191,192,192,192,193,188,190,192,194,193,193,192,192,191,188,187,187,180,158,110,70,63,66,93,171,200,200,198,198,198,197,196,196,188,193,198,198,195,194,194,194,192,187,185,189,185,165,120,75,63,65,69,132,196,201,200,199,199,198,197,197,195,207,209,201,196,195,195,193,188,185,187,190,182,155,116,79,64,66,65,120,194,202,201,201,200,199,198,197,211,215,208,198,194,193,191,187,183,181,178,175,165,139,110,85,70,66,72,144,201,203,202,201,201,200,199,198,216,213,202,194,191,189,186,184,179,175,168,162,154,137,110,89,78,68,73,156,204,205,203,202,201,201,200,199,214,210,200,189,183,182,180,180,177,171,164,155,149,144,112,89,83,72,87,174,206,205,205,204,202,201,201,200,211,206,195,183,173,171,170,171,172,165,153,139,135,133,99,83,85,77,110,192,206,205,205,204,203,202,202,201,206,199,185,170,159,154,156,157,159,149,131,115,109,97,74,79,87,90,142,201,207,206,206,205,204,204,202,202,197,186,171,157,143,132,131,136,137,123,106,97,88,73,73,87,104,144,191,208,207,206,206,206,205,204,203,202,186,170,162,149,128,110,103,107,109,100,95,94,85,81,97,125,162,197,207,208,207,207,207,206,206,205,204,203,158,155,157,143,116,90,79,81,88,95,121,151,151,154,171,190,204,209,209,208,208,207,207,206,205,204,203,202,115,138,144,124,95,66,49,57,105,149,184,204,206,206,208,209,209,209,209,209,208,208,207,205,204,203,202,201,73,100,101,78,54,34,22,43,148,200,208,211,211,211,210,210,210,210,210,209,209,208,207,206,205,204,202,202
19,166,166,167,170,171,172,171,172,172,172,171,171,170,170,169,169,168,166,166,166,165,165,164,163,164,162,160,159,166,167,169,171,171,173,172,172,173,173,173,173,172,171,171,170,169,167,166,167,167,166,165,164,164,164,163,162,167,169,171,171,172,173,174,174,174,174,174,174,173,173,173,170,170,170,169,168,168,167,166,166,167,165,164,164,170,170,171,172,174,174,175,176,175,174,176,174,173,174,174,172,171,171,170,169,169,169,168,167,167,165,165,165,171,172,172,173,175,176,177,178,177,177,178,176,175,175,174,174,171,171,172,171,170,170,169,169,166,166,166,165,171,172,173,175,176,178,179,179,178,179,178,178,179,176,174,174,173,172,173,173,172,171,170,169,168,168,167,166,171,173,176,177,178,179,180,180,180,180,180,178,178,177,176,178,175,174,174,173,173,172,170,170,170,167,168,168,173,176,177,179,179,180,181,180,181,181,180,179,179,178,178,179,179,177,177,176,175,174,173,173,170,172,170,169,175,177,178,180,181,181,182,182,184,183,181,179,179,179,175,159,162,176,171,170,171,171,168,168,174,150,166,170,175,178,179,180,181,181,181,182,182,179,179,182,180,183,181,163,169,182,169,167,175,169,169,168,158,95,156,174,176,179,179,180,183,185,183,186,190,164,154,161,171,174,167,164,170,172,162,170,185,172,152,129,106,129,172,172,178,180,180,181,184,185,182,183,165,155,162,165,163,167,163,150,121,123,120,123,148,135,129,135,157,176,174,173,179,180,180,182,184,180,187,191,173,176,182,175,161,154,130,125,111,87,88,131,169,168,179,182,179,176,174,175,180,181,182,183,185,176,212,217,198,186,183,175,169,150,109,81,100,87,84,167,187,180,179,177,176,176,175,175,181,181,182,185,187,178,217,212,181,156,136,139,141,133,109,88,98,88,97,180,182,179,179,178,178,178,177,176,182,183,184,185,189,178,202,200,163,125,114,83,88,141,116,94,100,89,107,184,182,180,180,179,179,179,178,177,182,184,185,186,189,174,193,196,156,111,85,63,113,151,118,98,102,88,127,190,182,184,182,181,180,178,178,177,183,185,187,187,192,171,194,199,165,135,95,75,116,113,100,100,98,97,115,190,184,184,183,183,181,179,178,177,184,186,186,186,192,170,193,201,169,138,115,92,62,54,57,70,84,94,94,183,187,184,183,183,182,180,179,179,185,187,187,188,194,165,191,200,170,141,114,107,93,70,63,71,86,90,91,172,190,186,185,184,184,181,180,180,186,187,187,188,194,169,183,197,167,140,115,107,107,90,84,90,95,98,95,172,190,186,186,184,184,183,182,182,185,187,188,189,195,171,181,194,164,137,118,109,109,93,88,93,99,102,103,180,189,186,186,185,185,186,185,183,185,188,188,190,197,177,182,191,161,135,117,108,107,95,92,96,103,101,120,191,188,187,187,187,186,186,185,183,186,188,190,191,196,177,189,188,155,132,117,106,106,103,101,104,112,102,156,196,189,188,188,188,187,185,185,183,187,188,190,191,194,176,195,192,160,135,121,108,106,111,109,113,108,126,190,193,192,191,189,188,188,186,186,185,187,188,191,193,193,174,199,188,167,145,123,108,106,113,112,111,136,183,194,192,192,192,191,191,188,187,185,185,186,187,189,191,188,179,196,178,158,146,123,108,111,111,105,146,195,193,191,192,191,190,188,188,188,187,186,184,186,187,189,192,185,194,195,180,154,137,124,110,110,104,106,175,193,190,191,191,191,189,188,188,187,185,184,184
10,110,113,117,120,129,144,155,163,166,170,175,181,185,188,198,188,191,200,199,199,200,200,200,198,199,198,196,194,111,113,117,120,131,146,157,165,168,173,178,183,186,190,227,172,162,204,199,199,201,201,200,199,199,198,197,194,112,114,118,122,133,148,158,166,169,173,179,186,188,198,226,179,144,202,203,202,203,203,201,201,200,200,198,197,113,116,119,123,134,149,160,168,170,175,182,187,191,199,227,197,139,195,207,204,205,205,204,201,202,201,201,198,113,117,121,123,135,150,163,169,172,178,184,189,195,196,227,219,149,186,212,206,207,206,206,206,205,203,202,200,114,117,122,124,138,154,164,171,173,179,186,191,196,197,237,228,158,175,216,207,208,209,207,207,207,206,204,202,115,118,123,125,140,155,166,172,175,181,189,194,200,198,236,226,166,165,218,210,211,211,210,210,209,207,206,204,116,119,124,125,140,156,168,174,177,184,190,196,201,199,239,234,167,149,218,213,213,213,212,211,210,209,207,207,116,119,123,126,142,159,170,175,179,184,192,199,202,201,242,242,179,134,214,215,214,215,214,213,212,212,209,209,117,119,124,128,145,158,171,180,182,193,222,168,186,208,234,223,180,125,202,221,216,216,216,215,214,213,212,212,117,121,125,130,142,177,208,169,139,178,208,127,148,217,226,205,167,116,185,226,218,219,218,216,216,216,214,214,118,121,125,131,141,192,205,134,111,123,161,127,93,181,218,184,175,120,177,229,219,220,219,218,217,217,216,215,118,122,124,131,147,169,170,135,124,115,149,135,98,99,149,154,183,140,156,232,220,221,221,220,219,218,218,216,118,122,125,132,149,165,176,179,173,162,163,141,125,97,99,117,151,145,128,222,224,222,223,221,221,220,219,218,119,122,125,132,150,166,180,186,196,201,152,158,142,134,110,102,124,131,110,204,231,225,224,223,223,222,221,219,120,122,126,133,150,167,181,184,211,197,125,142,182,165,147,119,108,117,102,195,235,227,227,226,225,224,222,220,118,121,126,134,153,168,183,189,203,209,176,116,148,192,170,152,125,106,96,174,239,227,228,227,226,225,223,221,119,123,124,133,155,166,201,204,171,220,188,131,133,233,186,170,149,105,89,131,237,229,230,229,228,227,225,224,120,123,125,133,155,165,214,233,168,174,179,135,184,255,203,178,159,115,91,117,234,233,231,231,230,229,228,226,120,123,125,135,155,168,201,233,188,135,185,169,189,255,199,171,160,127,94,115,236,234,233,233,231,230,229,228,120,122,124,136,156,173,185,208,199,145,186,214,192,239,210,175,153,130,101,114,236,235,235,235,233,231,230,229,120,122,124,137,157,174,184,198,200,146,186,255,172,210,214,188,150,125,106,111,235,237,236,235,235,233,232,230,119,121,124,137,157,174,187,189,212,180,205,189,124,179,214,178,147,122,106,119,239,237,237,236,235,234,232,230,120,123,124,136,158,175,189,190,205,235,209,139,146,199,199,169,139,118,103,135,246,237,239,237,236,235,233,232,118,122,123,137,158,175,186,191,193,223,233,211,188,206,180,155,133,121,103,152,249,235,238,238,236,235,234,233,116,119,121,136,157,174,187,189,196,213,228,214,175,178,166,144,135,130,106,164,248,236,238,237,235,235,234,233,115,117,120,136,158,173,188,190,200,115,195,219,163,181,184,180,164,145,104,180,249,238,239,237,236,236,235,233,114,116,118,134,156,173,184,199,147,37,183,236,209,203,188,200,179,144,95,183,251,238,240,238,236,236,235,233
11,118,124,130,137,141,146,150,154,157,159,161,162,164,168,167,167,167,167,167,167,167,166,164,168,129,102,147,191,121,126,132,139,143,148,151,155,158,160,162,162,182,152,166,166,167,167,165,166,166,164,162,168,136,120,149,195,125,130,137,143,147,151,154,159,162,164,166,162,204,129,146,173,167,168,167,167,166,164,163,160,150,194,186,190,129,134,142,148,153,157,161,165,167,169,170,167,219,138,121,179,169,170,169,168,167,166,165,158,179,161,188,191,134,139,147,153,158,164,167,171,174,175,177,175,221,133,111,183,175,174,174,173,172,171,169,169,172,138,198,191,138,144,154,160,164,169,173,177,181,182,183,183,220,124,118,190,180,182,180,180,178,176,175,170,174,192,186,191,141,148,159,167,172,175,180,184,187,189,189,195,228,120,127,198,186,187,187,186,184,181,179,176,177,161,147,193,144,152,164,172,178,182,187,190,193,196,191,217,232,96,145,205,192,192,192,191,190,187,185,182,181,171,171,191,147,157,171,178,182,188,193,197,199,202,196,225,211,96,165,210,199,199,199,197,196,193,190,188,186,182,187,197,150,161,174,182,187,192,197,202,205,203,220,223,126,86,176,213,204,203,202,203,201,198,196,194,191,186,190,209,155,165,178,186,192,197,202,205,206,209,208,212,133,87,186,216,209,209,209,208,206,204,201,199,196,191,191,210,159,169,182,190,195,201,206,212,234,230,118,116,157,102,192,219,213,213,213,212,211,208,206,205,199,197,200,210,161,173,185,193,199,203,210,196,220,215,131,90,149,117,174,227,215,216,217,215,214,212,209,206,206,192,178,214,163,176,188,197,200,208,237,177,103,143,171,106,125,117,150,232,218,221,220,219,219,217,216,211,222,130,98,219,166,179,192,196,212,238,224,196,149,98,153,126,97,124,118,229,223,225,225,221,214,201,184,181,177,89,69,104,168,182,192,211,239,197,148,179,195,120,102,115,88,141,111,210,235,226,218,209,214,192,167,165,141,91,76,65,170,185,194,236,223,155,113,103,182,128,84,106,77,159,155,159,218,216,223,221,211,181,152,128,106,80,72,72,173,186,197,232,200,137,106,69,148,137,87,120,68,118,166,104,173,223,225,196,152,117,77,57,68,64,67,70,174,187,195,222,180,124,99,77,114,147,97,136,93,126,155,142,189,203,172,120,87,64,54,57,58,57,59,69,176,190,196,222,201,146,114,93,93,124,118,146,125,198,171,138,161,141,93,54,64,71,53,52,54,55,65,35,175,189,198,227,207,154,127,103,100,114,161,199,204,200,153,124,121,59,53,58,48,66,66,46,45,52,53,29,175,189,198,228,213,172,141,108,116,127,204,237,222,177,133,110,70,53,39,63,49,47,66,59,41,41,41,44,175,190,198,223,213,183,145,118,128,136,212,221,188,152,122,75,26,63,47,43,61,47,50,60,51,39,42,42,180,194,207,218,207,192,152,135,134,139,193,209,170,131,110,71,23,41,64,40,51,58,45,46,56,41,39,41,146,155,160,175,208,196,159,151,136,138,175,195,163,126,85,62,39,24,60,56,41,51,53,40,46,49,32,39,118,118,113,131,207,191,167,158,136,125,162,165,138,99,39,50,55,17,44,60,50,45,49,44,37,48,36,29,125,126,122,139,212,196,173,156,136,117,138,130,103,59,26,40,64,24,27,58,53,48,45,42,34,38,41,28,124,125,125,129,208,198,165,148,132,120,126,116,56,41,38,32,63,41,15,46,57,46,44,42,38,35,32,33
10,113,115,118,121,128,142,151,158,161,164,169,174,178,180,188,180,183,190,189,190,190,190,190,189,189,188,187,185,113,115,119,121,131,144,153,160,162,167,171,175,179,182,214,166,157,194,189,190,191,192,190,190,189,189,187,185,114,116,119,123,132,146,154,161,163,167,173,178,180,189,213,172,142,192,193,192,193,193,192,192,191,190,189,187,115,117,120,124,133,146,156,162,165,169,175,179,183,189,213,188,137,186,197,194,195,194,194,192,192,192,191,189,115,118,121,124,134,147,158,164,166,171,177,181,186,187,214,207,146,178,201,196,196,196,195,195,195,193,192,191,116,119,123,125,137,150,159,165,167,172,178,183,187,188,222,215,154,169,204,197,197,198,197,197,196,195,194,192,117,119,124,126,138,151,161,166,169,174,180,186,190,189,221,213,161,160,206,199,200,200,199,199,198,197,195,194,117,121,124,125,138,152,163,168,170,177,182,187,191,190,224,220,162,146,206,201,202,202,201,200,199,199,197,196,117,120,124,126,140,154,164,169,172,177,183,190,192,191,227,227,172,133,203,203,203,203,202,202,201,200,199,198,118,120,124,128,142,154,165,173,175,184,209,163,179,197,220,210,173,125,192,209,204,205,205,203,203,202,201,200,118,122,125,129,140,170,197,163,137,172,197,127,145,205,213,195,162,117,177,213,206,207,206,205,204,204,203,202,119,122,125,131,139,183,195,133,113,124,156,127,98,174,206,176,169,121,171,216,207,208,207,206,205,205,204,203,119,123,124,131,145,163,164,134,124,117,146,134,102,103,146,150,176,138,153,218,208,208,208,208,207,206,206,204,120,123,125,131,146,160,170,172,167,157,159,139,125,101,103,119,148,143,128,209,211,210,210,209,209,208,207,206,121,123,125,131,147,161,173,178,187,192,149,154,140,133,112,105,125,130,112,194,217,212,212,210,210,210,208,207,121,123,126,132,147,162,174,177,200,188,126,140,175,160,144,120,111,119,105,186,221,213,214,213,212,211,209,208,119,122,126,133,149,162,176,181,193,198,170,117,146,183,165,149,125,109,100,168,224,214,215,214,213,212,210,208,120,124,124,132,151,161,191,194,165,208,180,130,132,219,178,165,146,108,94,131,222,215,216,216,215,214,212,211,121,124,125,133,151,160,202,219,162,168,172,134,177,238,193,171,155,116,96,118,220,219,217,217,217,215,215,213,121,123,125,134,151,163,192,219,180,134,177,164,181,239,190,166,156,127,99,117,222,220,219,219,217,216,215,214,121,123,125,134,153,167,177,197,190,142,179,203,183,225,199,169,150,130,105,115,221,221,220,221,219,217,216,215,121,123,125,136,153,167,177,189,190,144,178,241,166,199,203,180,147,126,109,113,221,222,222,221,220,219,218,216,120,122,124,136,153,168,179,181,200,173,195,181,124,172,202,172,144,122,109,120,224,223,223,221,221,220,218,217,121,124,124,135,154,169,181,182,194,221,198,137,144,190,189,163,138,119,107,134,230,223,224,223,222,221,219,218,119,122,123,136,154,169,179,183,185,211,219,200,180,195,173,152,132,122,106,149,233,221,223,223,222,221,220,219,118,120,122,135,153,168,179,181,187,201,215,202,169,171,161,142,134,129,109,159,232,221,223,223,221,221,220,219,117,118,121,135,154,167,180,182,191,117,186,207,158,174,177,173,159,142,107,173,233,223,225,222,222,221,221,219,116,117,119,133,152,167,177,189,144,49,176,222,198,193,180,190,172,142,100,176,235,223,225,223,222,222,221,219
18,145,146,148,150,153,157,161,165,167,170,173,174,176,179,179,181,183,183,184,185,186,186,186,187,186,186,186,185,145,147,149,151,154,158,162,165,169,172,174,175,177,179,180,182,184,184,186,187,188,188,188,188,187,187,186,187,146,148,150,151,154,160,164,167,171,173,175,177,179,181,182,184,185,185,187,187,189,188,188,189,190,189,187,187,146,149,150,152,155,160,165,169,172,174,176,178,180,182,183,185,186,186,186,188,189,190,187,148,187,189,190,189,147,149,152,154,157,159,165,170,173,174,177,179,181,184,185,186,186,186,189,190,187,205,188,114,134,197,194,190,149,151,152,154,158,162,167,171,174,176,179,181,182,185,186,186,186,187,189,193,180,198,194,135,103,143,176,193,150,152,154,155,160,164,168,172,175,177,180,182,183,186,188,187,192,167,145,165,175,172,208,176,139,104,101,141,150,153,154,156,160,165,169,172,175,177,180,181,184,184,171,189,202,163,144,101,152,168,209,190,151,137,134,102,150,153,155,157,160,165,169,172,177,179,180,179,192,192,151,122,186,173,153,108,128,166,182,182,168,152,136,116,152,153,156,158,161,165,170,174,178,181,181,186,208,197,171,113,158,189,152,116,92,156,134,130,167,164,139,124,152,154,157,160,163,167,171,176,179,181,180,212,222,202,177,132,125,190,154,121,75,122,115,82,192,187,153,130,153,157,157,160,165,169,172,177,181,183,185,213,222,207,180,141,101,178,146,110,65,74,88,77,184,200,164,130,153,157,157,160,165,169,173,177,181,180,197,224,212,190,181,134,88,137,118,95,66,50,62,55,175,194,172,131,154,157,158,161,166,170,174,178,182,184,220,218,202,164,142,106,82,109,102,89,53,50,112,106,189,201,161,130,155,158,159,162,167,171,175,179,179,199,226,195,180,156,98,87,80,106,112,84,84,171,193,162,160,179,145,122,157,159,160,163,168,173,177,180,181,197,240,215,173,136,104,108,78,129,147,134,197,204,189,171,122,155,131,118,157,159,160,163,169,174,178,182,183,194,239,222,188,137,125,123,80,141,174,207,212,188,166,167,127,131,133,114,157,160,161,165,169,175,180,183,183,203,240,224,197,168,151,149,126,141,220,218,194,172,156,160,154,115,128,103,158,161,161,165,170,175,180,184,183,211,238,218,181,169,144,134,155,219,221,200,182,171,164,161,158,120,110,90,159,161,162,166,171,176,180,184,183,216,236,210,183,169,147,146,192,229,214,191,182,179,156,157,149,116,91,71,160,162,163,167,173,177,181,184,183,219,231,209,185,185,152,183,198,214,203,181,182,165,140,155,137,104,81,54,161,163,164,168,173,177,181,185,185,219,227,212,201,189,159,171,194,191,190,171,169,150,143,150,118,90,63,106,161,163,165,168,173,178,182,186,187,215,223,210,209,178,153,148,176,175,176,167,159,144,141,120,94,73,74,192,160,162,165,169,174,180,183,187,187,214,224,213,204,166,131,154,163,173,175,164,155,136,119,90,77,58,158,214,161,163,165,170,174,179,183,188,189,210,220,214,182,143,133,161,162,175,175,163,142,126,103,84,62,107,213,209,163,163,164,169,174,180,183,188,189,212,207,197,182,172,168,166,161,179,170,151,125,113,95,72,68,192,213,209,163,163,165,169,175,182,187,187,193,225,220,214,209,197,181,164,154,174,162,139,114,98,82,64,168,216,210,211,163,164,167,172,178,162,151,181,200,228,221,220,209,194,171,163,151,165,153,130,109,91,66,133,220,212,212,212
6,151,154,156,159,161,163,164,165,165,166,166,164,163,164,164,163,163,162,162,162,161,158,158,158,156,156,155,151,152,155,158,161,162,164,165,166,167,168,169,167,167,166,165,165,165,164,164,162,162,161,162,161,159,157,156,154,153,157,161,163,164,165,168,168,169,170,170,169,170,169,168,167,166,166,164,164,164,163,164,163,161,161,159,157,155,158,161,163,165,167,170,171,170,170,170,171,171,172,172,172,171,170,169,167,167,164,161,163,165,163,162,161,157,161,163,165,168,169,171,172,172,172,173,173,172,166,157,154,154,157,150,153,142,140,176,143,143,169,163,162,159,163,165,168,170,172,174,175,172,173,172,170,166,156,138,135,149,162,151,154,139,137,182,122,113,174,163,164,162,164,166,169,172,173,175,175,176,179,187,186,183,169,153,142,145,148,141,134,133,114,111,104,151,171,166,165,162,165,168,171,171,172,172,179,191,192,187,169,153,131,115,92,87,92,104,111,116,128,144,164,172,169,169,166,162,164,168,168,183,192,174,174,173,165,149,139,130,113,108,96,83,142,161,168,174,178,178,175,170,171,170,169,162,165,170,166,206,193,164,159,154,163,171,169,155,144,144,148,91,131,188,176,177,175,175,175,174,172,172,171,162,166,169,173,194,159,149,157,165,174,181,177,166,156,144,125,79,88,186,178,179,177,177,177,175,172,172,171,163,168,167,191,202,156,149,152,159,167,171,172,159,139,134,111,62,66,169,183,178,178,178,177,175,175,173,172,166,171,168,197,174,158,163,157,159,162,171,174,156,128,135,127,63,50,138,189,177,178,178,178,178,178,175,172,167,171,170,190,178,181,173,172,173,182,187,173,155,146,141,112,71,53,123,191,179,180,179,178,178,177,175,174,167,171,171,185,208,205,169,168,170,169,165,159,148,136,113,81,71,61,109,190,180,181,180,179,179,179,176,174,169,173,172,184,217,206,173,162,149,125,122,136,133,131,128,69,62,68,129,191,181,182,181,181,180,179,179,176,170,173,171,188,204,198,182,159,141,145,165,167,147,138,149,92,47,96,184,183,183,182,182,182,181,181,179,176,169,174,171,191,196,200,194,161,155,172,180,157,140,131,119,91,63,127,193,182,183,183,183,182,181,181,180,178,171,175,172,191,200,191,187,166,160,166,164,152,134,117,93,77,72,153,192,185,184,183,184,184,183,182,180,178,171,175,172,190,200,191,182,168,159,158,140,126,102,81,74,68,94,180,188,186,186,185,185,184,182,182,179,178,171,176,170,183,195,195,179,159,144,130,102,79,51,44,58,108,175,190,187,187,188,189,186,184,182,182,180,179,170,175,169,178,190,179,154,139,126,101,76,56,41,59,90,181,194,187,187,188,188,187,186,186,183,181,180,179,169,174,169,171,184,158,141,137,128,90,71,69,51,67,145,192,186,188,187,186,185,183,184,185,183,181,179,177,170,175,164,162,177,146,143,145,112,82,75,78,60,121,192,188,188,189,189,186,185,184,183,183,182,180,178,177,170,174,161,157,170,138,151,145,104,81,73,80,111,187,190,188,189,189,188,187,185,184,184,183,182,181,179,178,170,176,158,159,164,142,154,140,104,80,74,84,166,195,188,190,190,188,187,187,186,186,185,184,182,181,180,178,168,177,149,167,167,140,148,125,91,74,79,93,178,191,188,189,190,188,186,186,187,185,186,185,183,181,180,178,167,171,143,177,160,133,130,102,80,75,79,112,191,187,187,185,186,185,184,185,185,182,184,183,182,181,180,177
11,155,157,158,160,161,161,162,163,163,162,161,160,158,159,159,157,156,155,153,153,152,151,149,147,147,146,145,142,157,159,160,161,162,164,164,164,163,163,163,162,161,161,162,160,158,157,156,155,154,153,151,149,148,147,145,143,157,160,163,163,164,165,165,165,165,165,164,163,162,161,151,160,162,159,158,157,154,154,153,152,149,148,147,146,160,161,163,165,167,166,166,167,167,167,166,166,164,176,125,115,168,159,159,160,157,155,155,154,152,149,148,147,161,162,165,167,168,168,167,167,168,168,168,167,166,179,130,90,166,161,161,161,160,157,157,156,154,151,149,148,162,164,166,167,168,169,168,169,170,170,169,168,168,175,129,94,162,163,161,162,161,160,158,156,155,153,152,149,165,166,168,168,170,171,171,171,171,171,170,169,168,187,141,98,160,167,162,163,162,161,160,157,156,154,152,151,165,168,169,170,172,173,173,173,172,171,172,171,171,194,148,95,155,170,163,163,163,162,160,158,157,154,153,152,167,169,170,172,173,173,174,174,174,173,173,170,176,188,136,90,156,170,165,165,164,163,161,159,158,157,155,154,168,169,172,173,173,174,174,174,174,174,176,174,181,180,134,87,161,170,166,166,165,165,164,161,159,158,155,154,168,172,174,175,175,175,176,179,181,175,152,141,186,177,135,94,166,170,168,168,167,166,165,162,160,158,155,155,172,173,175,175,177,181,178,161,156,171,134,85,146,158,114,95,174,170,168,168,168,167,165,164,162,160,157,155,172,174,177,177,167,157,180,139,88,117,148,98,73,95,76,103,182,172,171,169,168,168,166,164,162,161,159,156,173,176,177,184,161,94,137,151,86,103,150,97,59,71,62,131,183,172,172,171,170,170,168,167,162,161,161,159,175,176,182,191,173,111,105,161,91,102,136,87,61,71,62,140,182,173,173,170,167,161,153,158,168,164,160,159,177,176,196,200,176,118,83,139,85,88,123,81,58,61,54,138,185,173,173,163,161,144,126,118,123,160,162,159,176,183,198,181,166,123,66,106,80,98,131,93,53,58,58,144,182,172,183,167,139,113,93,89,65,127,170,159,176,184,207,182,165,116,63,121,85,113,173,114,63,68,70,127,174,176,164,115,67,75,107,122,113,150,168,161,178,187,210,195,153,100,80,155,120,114,203,112,60,85,110,136,168,162,114,59,95,168,178,176,175,169,164,161,177,189,210,185,144,145,101,168,179,75,122,96,91,125,118,132,138,110,62,112,184,176,171,170,167,166,165,162,177,189,207,185,161,148,99,140,134,75,134,159,144,130,107,108,97,58,110,188,176,175,174,172,170,167,166,165,180,187,202,191,175,151,155,164,169,159,154,146,134,121,102,84,59,92,183,179,177,176,174,173,171,169,168,166,179,183,197,188,172,151,141,152,170,159,147,138,120,115,92,55,103,180,182,179,178,177,174,173,172,170,168,167,192,192,192,186,163,132,123,142,149,142,138,120,114,101,59,119,191,183,181,181,179,177,174,173,173,172,168,167,79,133,186,168,144,119,138,146,142,132,121,110,85,66,133,193,182,181,181,180,180,177,175,174,172,171,168,167,38,53,156,169,162,161,150,137,133,113,90,57,94,166,192,184,183,182,181,180,179,177,176,174,171,169,167,166,60,54,64,128,160,155,137,125,116,92,53,89,197,192,184,185,185,183,181,181,179,178,176,174,174,170,168,168,51,53,48,53,90,107,113,106,89,64,45,164,194,185,187,186,185,184,183,181,179,179,177,175,174,170,169,160
24,190,193,194,195,196,196,198,198,198,198,199,198,197,196,196,195,192,191,189,189,188,185,184,183,179,177,176,174,192,196,197,198,199,200,199,200,201,201,201,199,199,197,196,197,196,194,192,191,190,188,185,184,182,180,178,177,194,197,199,200,201,201,202,203,203,204,204,202,201,199,199,198,197,196,195,192,190,189,188,186,183,181,181,179,196,198,200,206,202,204,205,205,205,206,206,204,204,202,202,200,199,198,196,195,192,192,191,189,187,184,184,182,195,204,195,171,207,206,207,208,207,208,208,207,207,205,205,204,201,200,199,198,197,194,192,190,190,188,184,183,196,211,182,116,169,215,208,211,210,210,210,210,210,208,207,207,204,203,200,199,199,197,195,193,191,190,187,185,200,206,174,129,114,208,211,212,212,212,211,211,211,210,209,207,207,205,203,201,200,199,197,195,193,191,189,187,201,208,199,149,98,169,221,211,214,213,216,217,211,211,211,207,207,209,209,204,203,200,199,196,194,193,192,195,203,206,211,175,111,119,218,214,215,215,198,198,219,215,213,216,213,197,192,211,205,202,201,199,198,190,165,151,205,207,212,201,151,103,172,226,215,202,157,122,189,201,154,154,195,166,120,166,213,202,201,202,191,169,129,125,206,208,211,215,180,117,108,217,217,187,176,147,120,158,133,94,125,163,117,90,197,209,204,193,178,147,112,185,207,209,211,217,199,138,104,169,227,180,194,171,126,118,140,105,129,163,121,85,188,215,194,165,163,111,133,204,208,210,212,215,216,183,142,123,205,163,183,186,144,101,136,118,139,166,121,96,204,214,151,142,144,88,170,204,209,212,215,216,219,213,155,125,158,158,148,190,153,116,107,106,133,165,112,120,226,186,126,147,122,109,202,198,211,214,215,218,219,222,183,173,158,146,127,162,164,120,88,84,99,124,92,103,216,140,128,148,99,171,209,198,211,215,217,220,221,222,218,195,158,123,105,106,164,140,116,75,66,87,77,72,119,120,139,126,107,207,203,200,213,216,219,220,222,222,225,195,139,121,112,100,140,174,157,92,48,87,99,122,129,136,143,102,149,215,201,200,213,215,220,223,222,225,226,201,174,154,116,105,132,171,144,99,82,114,149,155,151,132,123,90,190,212,206,203,214,217,221,222,223,227,225,217,196,160,117,109,127,161,143,151,144,142,156,152,146,122,82,122,217,207,207,206,215,219,222,222,224,229,226,214,207,174,142,119,105,152,192,187,181,167,160,149,137,101,86,202,212,208,208,207,215,219,223,223,226,228,229,212,207,182,155,122,111,145,199,197,191,174,157,142,126,73,166,224,209,210,208,206,215,220,223,223,227,229,231,213,194,178,164,129,125,155,192,187,178,163,146,133,95,112,222,212,213,211,208,207,218,221,223,224,227,228,231,218,186,184,172,143,131,157,178,176,172,151,129,112,79,195,221,214,215,213,210,208,219,221,222,225,228,229,229,231,204,183,171,151,122,140,164,164,159,134,116,74,153,228,214,216,213,212,210,209,218,222,223,225,229,230,229,232,222,195,172,147,117,125,147,144,135,115,78,135,229,219,218,216,214,213,211,209,217,221,223,226,230,230,230,233,227,194,167,138,126,127,140,136,118,84,100,232,222,220,219,217,215,214,211,209,218,221,225,228,229,230,231,231,225,198,171,157,150,143,143,137,106,69,179,234,221,221,219,218,216,214,211,208,216,220,223,225,226,229,232,224,219,209,191,168,147,152,147,126,88,96,224,224,222,220,219,217,215,213,211,208
24,172,174,178,179,180,180,182,182,183,183,182,183,182,181,181,179,178,177,176,176,175,172,170,170,168,166,165,165,173,177,180,180,181,182,183,185,185,184,184,184,184,182,182,182,180,179,180,180,176,175,174,173,173,170,169,167,175,178,181,182,184,185,185,187,189,187,187,188,188,187,185,184,183,183,181,180,180,177,176,176,175,173,171,170,177,178,182,184,186,186,187,189,189,188,188,189,189,189,187,186,186,184,181,182,181,180,179,178,175,174,173,172,178,180,183,184,185,183,189,192,191,190,190,190,190,190,188,186,186,183,184,184,182,181,180,179,178,176,175,173,180,181,185,182,201,166,135,198,190,192,192,191,191,190,190,188,188,186,184,184,185,184,182,180,180,179,177,175,182,183,188,183,212,139,114,201,191,193,192,193,192,192,191,189,189,188,186,185,185,184,183,182,181,179,178,177,182,184,187,189,208,111,132,203,191,194,194,195,197,193,190,190,190,188,188,187,187,186,184,183,182,181,180,179,184,187,188,196,204,109,145,204,194,196,194,192,187,196,194,191,192,191,189,190,189,187,185,183,182,183,181,180,187,188,189,201,204,106,150,213,196,196,204,201,161,125,193,196,191,192,190,191,192,191,192,189,183,183,183,182,188,190,190,203,187,130,157,171,201,154,154,204,182,122,101,194,196,193,194,191,179,163,153,179,190,185,185,184,188,193,192,207,200,207,198,162,221,161,105,189,196,137,58,129,205,194,189,166,118,99,80,120,197,188,187,184,189,194,193,207,205,232,200,190,221,179,100,181,189,124,59,84,196,192,182,131,83,86,119,156,191,188,187,185,192,195,195,208,198,241,207,204,229,172,80,133,144,92,37,53,169,193,160,103,80,169,197,193,189,189,188,187,193,199,195,213,234,237,196,208,239,157,88,22,87,131,98,111,164,165,119,83,151,207,193,193,193,191,190,188,194,199,198,220,228,213,171,154,196,123,67,64,176,198,180,167,162,127,82,115,203,196,198,196,195,193,191,189,194,197,204,217,186,190,158,108,103,107,163,222,216,192,174,150,137,115,84,185,202,198,200,198,197,195,192,190,196,196,210,235,200,182,165,143,99,222,243,224,212,189,155,132,115,99,137,210,199,201,198,198,198,194,193,193,198,195,219,243,213,184,163,176,229,251,227,220,205,173,139,112,109,100,194,208,202,201,200,199,198,196,194,195,199,196,231,248,219,202,203,237,252,241,230,212,188,154,116,111,88,135,216,205,206,202,201,200,200,198,197,196,199,197,237,249,225,213,233,252,250,235,225,197,165,128,111,99,98,201,209,207,207,204,202,201,200,201,199,197,202,197,236,255,231,216,239,248,230,207,198,173,137,116,101,94,186,215,209,209,207,206,205,203,202,201,200,197,201,198,229,255,235,212,225,229,217,186,170,147,119,105,98,186,219,209,211,209,208,207,205,205,203,201,200,198,202,202,219,238,217,212,230,233,218,188,169,135,105,77,173,224,213,214,212,210,210,209,208,206,204,204,201,200,202,205,210,219,210,221,227,217,213,179,153,121,71,109,222,215,216,214,214,211,211,210,208,206,205,205,201,200,203,206,208,227,238,227,220,205,207,174,141,104,59,168,225,217,217,216,216,213,211,211,209,209,206,203,204,202,203,205,208,242,240,209,218,204,190,165,138,89,73,204,222,219,217,218,217,214,212,212,210,209,208,207,205,201,200,203,206,251,238,196,225,197,177,165,131,93,77,207,221,216,217,217,215,214,211,210,210,209,207,207,204,202
15,107,119,133,141,143,147,155,164,170,176,179,184,189,192,197,201,205,209,213,216,219,220,223,224,225,227,229,229,109,121,134,142,144,146,156,166,172,177,181,186,190,194,199,204,206,211,214,216,218,221,224,224,226,229,229,230,112,122,133,141,145,147,157,165,172,179,184,187,191,196,201,204,207,211,215,219,221,224,225,226,229,231,231,232,112,124,137,142,147,151,160,166,173,181,187,189,193,197,202,204,210,214,217,220,223,225,227,230,231,232,233,234,113,126,137,144,145,150,158,165,173,179,185,190,195,200,206,209,213,215,218,221,223,225,229,230,232,234,235,236,113,123,149,184,155,153,163,161,170,181,182,181,178,184,190,203,212,216,221,225,228,230,228,229,233,235,237,237,116,126,153,184,149,141,152,159,178,186,192,197,201,192,180,181,182,192,207,204,207,221,238,233,231,236,236,238,119,129,144,137,109,115,128,137,163,180,187,211,221,202,199,196,204,203,197,207,182,164,182,230,239,233,240,239,119,132,142,145,148,152,147,144,149,161,165,190,219,224,219,217,218,228,217,202,219,192,135,125,217,246,237,239,121,133,141,146,151,160,171,179,183,185,183,178,170,187,216,244,219,185,225,186,198,226,137,123,113,221,247,240,120,133,143,147,149,157,166,175,181,184,197,199,147,126,134,163,204,172,174,168,196,240,121,137,156,120,232,243,120,133,142,145,150,158,167,174,181,179,229,196,139,124,127,148,188,177,127,128,174,202,131,129,191,131,133,254,121,133,142,146,150,159,167,174,181,179,247,199,116,129,154,182,200,176,138,135,134,129,134,149,168,138,77,181,121,135,143,145,150,160,168,176,181,191,237,250,168,151,170,184,188,161,140,141,141,137,136,156,171,136,82,83,121,136,143,146,152,160,168,177,175,223,247,243,246,201,135,116,130,124,117,123,134,146,156,168,175,151,95,76,123,137,145,147,151,161,169,179,181,219,255,237,231,238,199,113,50,67,58,66,92,130,166,164,156,139,97,88,124,136,145,148,152,161,168,179,183,196,243,252,214,209,242,198,57,38,37,43,46,79,146,155,143,127,108,102,121,135,143,146,151,160,168,178,180,190,231,237,230,194,228,159,67,44,39,53,42,74,153,168,164,153,140,120,121,131,139,143,149,156,164,173,176,209,251,229,205,193,190,115,66,46,43,55,51,69,136,166,171,166,155,135,90,94,100,103,106,108,110,116,121,133,219,255,225,172,169,161,73,46,53,54,69,78,100,139,155,159,153,137,90,92,94,93,96,98,97,94,95,93,128,177,189,185,168,158,104,59,56,55,68,84,87,113,135,143,143,131,98,98,99,101,102,104,105,105,104,111,109,108,113,122,114,110,110,68,59,50,60,84,92,100,135,143,136,122,98,98,98,100,101,104,105,105,105,108,111,111,111,110,123,123,135,106,91,86,89,100,99,95,129,139,128,117,100,100,101,102,101,103,104,104,105,107,108,108,109,108,110,140,163,161,171,155,133,157,157,140,140,144,124,111,98,99,101,103,102,102,105,106,105,108,110,109,108,111,111,105,113,162,188,167,190,208,207,201,177,165,143,109,97,98,98,100,101,104,106,106,107,108,111,112,109,110,112,115,109,116,129,155,204,226,213,205,183,155,135,118,97,98,98,100,100,104,104,104,106,107,110,111,110,111,110,114,113,111,110,118,138,157,186,164,146,132,127,144,97,97,98,100,101,103,105,104,106,107,107,107,108,109,109,111,113,114,115,112,108,109,147,130,141,160,157,136
13,129,132,137,143,149,152,155,157,160,163,166,168,170,173,174,176,177,178,177,178,179,180,179,179,180,179,178,178,130,134,139,145,151,154,158,159,161,164,168,170,172,175,176,175,176,178,183,180,181,180,180,181,182,180,180,180,132,135,141,148,152,156,159,162,164,166,170,173,174,175,180,190,191,155,142,182,181,187,182,184,184,182,181,181,134,137,143,150,154,158,161,164,167,169,172,174,177,180,183,213,202,149,95,101,132,147,185,184,184,183,184,183,135,139,144,150,155,159,161,165,168,172,172,176,181,146,144,161,198,147,93,74,136,98,121,194,183,185,184,184,137,140,146,150,156,159,162,167,169,172,172,208,197,158,121,119,182,181,113,85,145,96,95,194,185,186,186,185,138,142,147,152,158,161,165,167,172,174,130,169,217,192,151,80,126,203,123,82,152,99,112,198,186,188,186,186,138,142,148,154,160,164,166,164,200,190,137,87,178,214,168,102,58,148,120,81,181,108,136,199,187,189,189,188,139,144,150,156,161,165,164,193,203,203,173,103,98,215,162,109,41,58,71,75,170,105,174,195,189,190,190,190,140,145,153,158,162,164,180,194,157,200,186,125,60,179,153,98,44,41,76,113,130,88,138,202,190,192,192,191,141,147,155,160,163,166,206,194,146,173,164,114,55,146,153,108,42,66,133,144,122,109,93,186,196,193,194,192,144,150,158,164,163,178,203,174,136,159,140,96,40,122,177,121,57,152,175,149,108,94,92,135,204,192,193,193,145,152,161,166,165,195,198,170,129,134,130,95,32,85,179,100,114,195,168,142,110,94,83,116,207,194,195,195,146,154,163,168,166,201,211,184,151,108,120,86,40,79,173,149,186,182,158,130,105,88,65,153,205,195,199,198,148,157,167,172,169,207,214,188,159,113,94,93,122,173,201,205,195,170,144,118,102,75,82,198,198,198,199,199,154,162,169,175,174,215,222,196,158,141,141,145,164,190,200,195,186,159,133,113,93,60,128,212,196,200,200,199,156,165,171,177,179,217,218,207,168,162,158,141,179,183,200,191,173,149,128,106,85,54,166,209,199,201,201,200,159,168,175,180,183,209,215,214,184,174,162,150,190,190,189,181,156,136,114,98,67,82,208,203,203,203,202,201,162,170,179,184,185,198,216,213,194,178,162,157,181,196,178,161,140,123,109,87,61,175,213,204,205,204,205,205,164,172,181,186,188,190,211,205,200,183,170,162,169,188,173,148,130,111,104,67,154,219,205,207,207,207,205,204,167,175,182,186,192,188,203,207,201,195,188,169,163,180,167,137,114,107,79,121,220,208,210,210,209,206,211,215,168,178,186,190,196,188,196,211,200,198,189,165,157,166,154,123,100,95,87,203,214,211,212,212,210,216,193,139,171,181,188,193,196,192,196,201,173,177,178,162,152,157,140,119,101,74,155,224,212,214,212,214,219,147,63,42,173,182,189,193,197,194,198,204,171,184,187,178,153,150,134,123,95,80,199,216,216,215,223,223,132,55,43,32,174,182,188,192,197,194,193,217,183,195,195,180,152,141,133,124,91,91,213,216,217,222,184,106,50,56,57,24,174,183,190,194,197,199,194,218,201,212,203,182,158,141,132,125,86,100,221,212,227,163,62,40,31,53,63,36,176,186,192,195,198,203,177,215,209,210,198,176,159,144,133,123,84,91,216,223,201,81,57,58,27,30,56,49,178,187,193,197,200,204,107,202,208,203,190,171,162,146,137,113,86,59,213,226,113,63,55,53,36,16,44,53
19,149,153,156,161,165,169,172,174,177,179,181,183,184,185,185,186,187,187,185,185,185,183,183,183,182,181,181,181,150,155,158,162,166,170,173,175,178,180,182,184,184,185,186,188,188,186,186,186,186,186,185,185,183,183,182,182,151,155,160,165,168,172,174,177,179,181,184,185,185,187,188,188,189,188,188,187,187,187,186,186,186,186,185,183,151,156,162,166,171,173,175,177,180,182,184,186,187,189,190,189,189,189,190,189,189,188,188,187,187,187,187,185,153,157,162,167,171,174,176,179,181,184,185,187,189,189,187,190,190,190,192,192,190,190,189,188,188,187,187,186,154,158,162,168,173,176,179,181,182,185,186,188,194,182,143,173,191,192,193,193,191,191,190,190,190,188,187,186,155,159,164,170,174,177,180,182,184,186,188,189,204,186,127,116,192,194,194,193,192,193,192,191,190,189,188,188,156,160,165,171,175,178,181,184,186,187,189,191,209,192,132,94,184,195,195,193,193,194,194,192,191,191,190,189,157,161,167,172,176,179,181,183,186,187,189,189,204,181,131,87,167,193,194,193,192,194,191,191,191,191,191,190,158,162,168,173,177,179,185,185,156,143,158,169,161,152,135,120,134,153,161,155,152,160,144,172,191,175,193,192,158,162,168,173,178,180,196,181,144,137,141,149,154,152,146,135,132,142,160,148,146,150,142,189,197,144,194,193,160,164,170,175,179,189,198,185,151,108,105,108,134,136,136,122,121,126,135,133,133,133,133,150,152,157,195,193,160,166,171,176,181,202,208,191,147,94,83,91,93,93,96,93,96,105,117,120,121,128,136,151,176,192,194,195,160,166,171,177,197,208,211,178,136,101,86,93,98,92,70,102,166,190,193,193,195,199,198,198,198,196,195,195,161,167,172,191,211,213,215,191,144,99,83,83,103,100,84,79,161,203,202,202,202,202,201,200,200,198,197,196,163,167,178,208,212,215,220,199,144,94,78,76,89,106,96,82,79,193,204,204,204,205,202,201,201,200,199,198,164,168,199,213,215,220,219,198,146,97,80,85,85,81,81,86,72,176,205,205,205,205,204,203,202,201,200,199,163,183,213,214,216,218,214,198,155,103,79,75,94,90,72,63,86,198,207,206,206,206,206,205,203,202,201,200,169,206,214,214,215,213,215,205,169,106,81,70,84,93,83,62,143,207,207,207,207,207,206,205,204,203,201,201,201,215,213,214,210,210,214,197,154,110,90,81,79,74,84,72,183,208,208,207,207,208,207,206,205,204,203,202,218,209,213,208,199,197,193,173,137,118,109,97,89,73,63,91,202,209,209,209,208,208,208,207,206,204,203,202,210,207,205,199,195,191,181,166,145,125,108,104,97,82,64,164,211,210,209,210,210,209,209,208,207,206,205,203,203,200,201,195,193,191,179,164,161,139,103,92,99,88,74,182,213,211,210,210,210,210,209,208,207,207,207,206,198,200,198,188,188,185,171,154,148,123,79,71,92,86,118,209,212,212,211,210,210,210,210,209,207,207,207,205,198,201,187,178,174,169,151,128,112,89,58,68,91,92,185,210,210,210,209,209,209,209,209,209,208,206,206,205,198,195,178,155,151,148,123,97,88,82,75,89,119,177,208,209,209,210,210,209,209,209,209,208,208,207,206,206,185,182,168,141,118,113,99,82,83,169,182,191,204,209,209,210,210,211,211,211,210,209,210,209,208,208,207,206,163,171,163,126,86,66,61,53,130,202,206,207,209,210,210,211,213,213,212,212,212,210,210,209,209,208,207,206
15,0,0,8,25,35,44,54,65,78,83,87,93,97,101,104,107,110,113,115,117,120,122,123,124,126,129,130,133,0,2,9,26,36,46,55,66,79,82,89,95,99,102,105,108,112,114,116,119,121,123,124,125,128,131,133,134,0,4,14,28,38,47,55,68,81,83,89,95,99,102,106,110,113,114,117,120,122,123,125,129,129,132,134,135,0,6,15,31,40,44,55,70,82,83,89,95,99,103,107,111,113,114,118,121,122,124,128,129,130,132,134,135,0,8,16,29,38,69,66,67,81,87,91,95,98,104,108,111,113,115,118,121,123,127,129,130,132,133,134,137,0,8,20,29,47,123,83,62,55,72,92,99,100,104,108,112,114,116,119,121,123,127,128,131,133,133,135,138,0,9,20,32,44,92,91,78,64,50,57,80,100,110,109,112,114,118,121,122,125,129,130,132,132,132,134,137,0,8,21,35,42,52,71,70,69,61,64,62,63,77,107,117,115,117,121,123,125,128,131,133,132,133,136,139,0,9,23,33,43,53,60,70,57,63,72,79,72,59,52,84,114,122,122,122,124,128,131,134,134,135,138,141,2,12,24,35,44,55,63,77,76,75,74,74,75,70,58,53,59,92,122,127,126,129,132,133,134,136,140,142,5,14,27,36,45,54,62,76,83,88,91,76,58,63,75,76,62,51,61,96,125,134,130,132,134,137,140,143,5,15,27,37,46,55,66,79,83,87,95,97,85,72,54,54,63,56,53,61,60,97,135,133,136,138,140,143,5,15,28,38,47,55,68,80,82,90,108,70,54,77,72,37,27,44,70,75,77,48,77,139,134,140,141,142,6,16,30,40,47,55,67,81,80,101,107,74,41,37,69,69,59,71,72,83,91,69,29,89,149,138,142,144,8,16,31,40,49,56,70,81,81,95,80,64,64,68,78,55,67,74,61,77,86,74,63,37,128,143,141,144,10,18,31,41,50,56,69,79,83,89,94,68,81,106,94,62,32,34,17,67,94,73,89,48,63,150,140,143,9,21,32,40,49,57,69,79,84,84,123,88,69,103,89,67,62,49,29,45,54,67,77,64,22,115,148,141,10,21,32,39,49,56,69,81,80,100,115,66,30,38,74,86,83,79,63,45,41,40,50,59,36,53,151,142,10,22,31,40,50,57,71,82,78,113,87,37,26,0,0,45,96,98,89,79,71,42,25,40,43,17,117,151,11,23,33,41,50,58,73,77,86,121,62,16,11,0,0,0,21,101,105,99,88,52,25,34,38,18,58,156,12,24,34,42,51,59,75,72,100,105,32,16,54,37,15,0,0,53,110,100,87,60,44,38,36,32,19,122,13,23,33,41,52,62,73,84,107,59,9,76,90,58,55,38,0,0,113,99,89,77,68,53,41,37,22,53,14,25,34,43,53,61,72,92,63,24,45,115,101,67,67,62,39,11,99,107,101,92,85,68,50,39,35,24,16,26,35,43,50,60,76,80,64,66,95,95,93,80,57,58,57,46,75,107,106,101,89,74,61,49,41,36,16,26,34,43,51,62,74,79,87,96,97,102,93,71,42,38,32,62,68,84,101,97,88,77,66,54,48,41,16,26,34,44,50,64,75,79,84,91,96,100,108,110,99,86,65,63,79,53,76,85,82,77,68,58,46,44,16,26,33,41,48,63,75,79,84,92,96,100,106,110,117,119,118,119,103,79,69,86,80,76,72,63,49,45,16,26,32,39,47,61,73,76,83,91,95,101,106,111,113,115,120,133,134,121,105,103,84,69,68,71,63,54
18,172,173,174,175,176,178,179,178,178,179,180,179,178,179,178,177,175,175,177,175,174,173,173,172,171,171,169,168,173,176,177,177,177,179,180,181,180,180,180,180,180,178,179,179,177,178,177,176,177,175,174,174,173,172,170,170,174,178,180,179,179,180,181,182,181,182,181,181,181,181,180,180,180,179,177,181,179,176,174,174,174,173,172,171,175,178,180,181,181,181,182,183,182,184,185,182,183,182,183,181,182,178,184,164,168,179,177,177,175,174,174,173,178,180,182,181,182,183,184,185,185,186,186,185,185,186,185,182,181,184,211,131,127,188,178,179,177,176,175,174,180,181,183,182,184,185,186,187,186,187,187,186,184,182,184,188,174,191,219,138,88,186,180,180,178,179,177,176,181,182,184,185,186,188,188,188,187,188,187,190,197,158,127,156,136,153,220,173,84,132,193,178,181,181,179,178,183,185,185,187,188,189,189,191,190,190,189,189,200,189,143,111,119,165,220,181,114,75,163,188,180,182,181,180,184,185,186,188,189,190,192,193,192,190,196,165,119,153,172,126,91,122,189,186,139,116,87,167,189,182,182,181,185,187,188,189,191,192,193,192,196,211,198,169,130,82,158,140,93,71,100,160,154,126,86,102,197,181,184,181,186,188,189,191,192,193,194,190,221,218,216,174,145,92,105,131,83,58,57,154,175,131,97,95,195,183,185,184,186,189,191,192,193,195,191,208,209,197,218,177,149,102,67,89,76,54,53,167,182,151,96,98,196,184,185,185,187,190,193,194,196,195,198,234,211,179,192,168,145,97,64,74,64,55,50,140,180,162,99,89,197,187,188,185,190,192,194,195,195,197,218,209,181,181,184,126,104,81,69,101,50,48,62,149,180,163,103,87,197,187,189,188,191,193,195,197,193,207,233,205,164,145,156,94,88,69,95,97,78,128,131,146,170,145,97,84,198,189,189,189,193,194,195,197,195,209,236,216,192,138,112,130,92,28,103,146,177,178,173,129,130,127,100,73,189,193,191,189,194,196,197,199,195,221,235,222,196,149,117,126,73,51,193,206,195,169,153,136,99,118,105,69,183,197,192,193,194,196,198,200,200,230,233,213,168,146,133,117,82,169,220,202,190,164,131,136,102,100,88,79,197,193,193,193,196,197,199,198,205,231,231,203,169,160,124,91,149,213,207,196,177,157,135,125,108,92,64,135,206,194,194,193,195,197,200,199,210,233,229,199,169,168,122,132,189,216,200,186,174,157,128,118,103,78,70,192,197,196,195,194,196,197,200,201,212,230,223,200,183,180,122,165,182,205,193,176,169,147,115,108,95,57,119,208,195,196,195,195,197,199,201,200,212,226,219,203,194,162,129,138,180,182,181,168,157,132,110,97,81,59,182,203,197,197,195,195,197,200,201,200,212,227,218,212,191,146,112,135,164,170,165,161,143,121,99,88,52,123,211,197,199,198,197,197,199,200,202,201,216,215,210,205,166,119,112,148,156,166,159,146,130,104,85,61,75,199,201,201,202,200,198,198,198,197,202,202,220,212,206,191,165,144,142,147,159,162,153,131,116,96,71,55,177,207,200,203,202,201,199,198,204,209,203,204,229,223,222,207,194,175,155,133,154,159,139,114,100,82,48,151,213,201,203,202,201,201,200,199,172,155,197,218,230,221,220,206,183,163,150,124,144,149,122,103,91,56,135,214,203,204,203,203,202,201,201,200,106,69,81,179,223,219,215,200,175,147,142,125,139,133,110,97,63,113,217,205,206,205,205,204,203,203,202,201
1,144,146,148,151,152,153,154,154,154,154,156,156,156,157,157,157,157,157,156,157,157,158,158,157,156,155,155,155,147,149,151,154,155,155,156,157,157,158,159,159,159,159,157,159,162,157,147,156,160,160,160,159,159,158,158,158,151,153,155,158,158,159,159,160,161,162,163,163,164,162,145,153,169,157,124,150,163,163,163,162,162,161,160,159,155,156,159,161,162,162,163,164,164,165,165,165,172,168,128,144,172,150,114,149,158,160,165,165,164,163,162,161,158,160,164,165,166,167,167,167,168,168,167,165,177,165,122,147,172,140,116,152,141,138,165,168,167,166,165,165,162,164,167,169,170,171,171,171,172,173,163,148,167,156,122,156,173,133,123,160,138,120,163,171,170,169,168,168,165,167,170,172,173,174,175,175,176,180,159,129,150,147,125,164,177,136,135,169,138,117,163,174,173,173,172,171,168,171,173,174,175,178,179,178,179,184,153,123,143,142,129,165,171,134,145,174,135,119,167,177,176,175,174,174,171,173,175,177,179,181,181,180,182,184,147,122,138,132,122,157,159,128,153,177,135,125,172,180,179,178,177,176,174,176,178,180,182,183,184,183,185,187,147,125,135,130,115,158,157,129,163,177,134,132,178,184,183,182,181,180,176,178,180,183,184,185,186,186,189,188,145,120,135,136,116,163,159,134,172,172,131,140,182,186,186,185,184,183,179,181,183,185,186,187,187,187,192,193,151,115,126,127,111,155,147,137,179,173,131,150,187,188,188,187,187,186,181,183,185,187,189,190,190,189,194,194,151,114,125,127,117,148,139,141,178,168,130,160,191,192,191,189,188,188,183,185,187,190,192,192,192,192,198,197,160,132,140,158,161,171,164,143,152,154,128,169,194,194,193,192,191,190,184,187,189,191,193,194,195,195,203,198,164,135,123,143,168,177,180,156,127,125,124,178,196,196,195,194,193,193,187,188,191,193,194,195,196,198,207,191,155,124,104,108,130,152,186,182,136,99,120,185,198,198,197,196,195,194,188,190,193,195,196,197,198,201,211,191,152,119,107,110,125,152,191,200,162,105,129,193,200,199,199,198,197,196,190,193,195,197,198,199,200,204,213,189,149,122,117,124,150,176,186,194,170,121,136,195,202,201,200,200,199,199,192,195,197,198,199,200,202,207,212,187,150,125,126,137,174,197,187,172,150,118,125,190,203,203,202,201,201,201,194,196,198,199,199,201,203,209,212,188,155,134,134,153,194,204,184,158,127,103,124,192,205,204,204,203,203,202,196,197,199,200,201,203,205,210,211,188,158,141,137,164,206,206,176,145,113,94,134,199,207,206,206,205,205,204,197,199,200,202,203,204,205,208,208,187,163,149,139,165,206,200,165,134,104,97,158,205,209,208,207,207,206,205,198,199,201,203,204,205,206,207,205,188,169,156,142,163,200,185,152,121,97,118,188,210,209,208,208,208,207,207,198,200,202,204,205,206,207,207,204,191,172,158,141,163,191,172,143,110,96,147,204,211,211,209,209,209,210,209,199,201,204,205,206,207,208,209,208,194,175,156,137,161,176,157,131,101,104,176,212,213,212,211,210,211,211,210,200,201,204,206,207,208,207,208,211,199,180,154,139,156,157,140,119,96,128,198,214,214,214,213,213,212,212,211,200,201,203,205,207,207,205,209,212,206,186,157,144,153,145,130,109,105,164,210,215,215,215,215,215,214,213,212,199,201,203,204,206,205,204,209,208,201,184,158,148,147,137,120,100,127,195,215,216,215,216,216,215,214,214,213
8,161,160,162,162,162,162,163,161,161,159,162,128,135,161,156,155,155,155,152,150,148,148,147,145,143,142,140,137,161,161,162,164,164,164,164,163,163,163,169,99,87,169,157,158,158,157,153,152,150,150,149,147,144,144,142,138,163,164,165,166,165,165,166,168,163,173,163,67,83,171,157,161,161,160,156,154,153,152,150,150,147,145,142,140,165,166,166,170,168,167,169,169,164,180,153,44,108,174,159,161,161,159,159,157,155,153,153,152,151,146,144,143,166,168,169,171,173,170,170,171,165,193,152,53,127,173,163,163,162,161,160,158,156,156,155,153,151,148,146,146,168,170,170,172,173,172,171,172,169,200,127,50,139,173,163,169,165,160,160,159,157,157,156,155,151,150,148,148,170,172,172,171,171,174,174,173,173,194,116,57,149,175,163,116,150,175,165,160,159,159,157,157,154,152,151,147,172,174,175,174,174,174,176,172,180,196,133,104,147,178,179,112,84,130,148,168,159,161,158,157,155,154,153,147,173,174,174,174,175,176,176,170,186,186,150,128,154,167,181,166,110,79,67,99,170,152,166,160,155,153,152,150,174,175,175,176,176,177,179,173,186,181,164,139,180,169,153,185,155,152,104,25,83,81,79,157,160,155,155,152,175,176,177,178,178,180,180,175,202,165,150,165,182,163,113,138,161,139,111,35,0,19,0,80,172,156,158,154,177,178,179,179,181,183,181,185,182,142,153,144,165,141,98,39,147,157,116,50,0,6,6,36,170,158,157,154,178,180,181,182,183,184,180,203,167,121,117,124,162,112,74,0,92,189,123,58,0,27,2,68,174,157,157,156,179,181,182,182,183,181,191,215,181,140,84,91,145,89,40,10,95,199,132,65,0,0,8,148,167,159,159,158,180,181,182,185,185,181,214,211,175,137,101,88,152,138,133,172,154,161,122,70,8,0,116,174,161,161,159,157,181,183,184,186,185,187,222,194,168,143,123,84,110,198,191,163,163,113,103,79,4,81,182,165,165,164,162,160,182,185,185,186,186,200,219,186,172,140,95,95,168,199,167,133,167,92,82,72,1,150,176,168,166,165,164,162,183,186,187,187,184,211,217,184,175,128,99,162,206,182,157,123,145,89,53,33,22,178,171,171,170,165,163,162,185,187,188,189,188,214,213,191,174,124,148,189,196,168,147,111,116,84,36,0,91,191,171,172,170,167,165,164,188,188,190,186,183,220,207,190,163,132,148,179,167,149,124,99,101,54,14,0,157,182,175,173,172,170,168,165,188,186,205,113,29,159,198,166,138,127,137,153,151,130,107,94,69,28,0,49,191,175,177,174,173,170,167,164,185,195,163,29,10,14,109,154,131,129,128,143,149,114,91,62,26,5,0,148,184,178,178,174,173,171,170,166,187,202,69,8,19,11,7,82,137,142,119,139,132,87,59,28,15,0,90,195,177,181,177,173,173,172,170,168,206,127,14,16,8,9,7,0,14,48,70,120,102,43,22,14,0,54,191,181,182,181,177,175,175,173,170,168,168,31,12,11,5,0,14,0,0,0,0,10,27,9,0,0,73,189,184,181,181,181,178,177,174,172,171,167,53,10,13,8,0,0,11,0,0,0,0,0,0,0,0,99,211,180,181,180,180,180,178,175,173,171,170,167,9,3,0,3,0,0,8,0,0,0,0,0,0,0,0,17,139,189,181,182,181,180,178,174,173,171,168,164,16,0,0,38,19,0,6,0,0,0,0,0,0,0,0,0,52,202,180,183,182,181,179,176,174,173,170,165
10,167,168,168,169,169,170,172,171,171,172,172,171,170,170,169,168,167,167,165,165,161,171,163,128,158,156,155,153,171,171,172,173,173,174,175,176,175,175,174,175,174,174,173,172,171,169,169,169,163,181,172,108,153,159,156,155,175,176,177,178,178,178,179,179,180,180,178,178,179,178,177,176,175,173,172,173,167,184,174,110,148,165,159,158,179,181,181,181,182,183,183,183,183,182,183,182,183,181,181,180,178,177,176,176,171,188,165,104,147,170,162,161,183,184,185,186,186,186,186,186,187,187,187,188,187,186,185,184,182,181,179,179,175,190,169,107,146,174,166,165,186,187,188,189,190,190,190,190,192,191,190,191,192,191,189,188,186,184,183,183,179,198,174,112,152,177,169,168,189,191,191,192,192,193,194,194,194,193,193,194,195,193,192,192,189,188,187,185,184,204,166,151,154,178,173,170,193,194,194,195,195,196,197,197,197,197,197,197,197,197,195,194,193,192,191,190,191,199,182,172,111,181,176,173,194,196,197,198,198,199,199,199,198,199,199,199,199,199,199,198,197,196,193,189,167,159,189,172,93,165,185,176,198,198,199,201,201,200,201,202,201,201,200,201,202,202,202,200,198,199,199,202,191,161,143,157,114,104,189,180,200,201,202,203,204,204,204,205,205,204,205,205,205,205,205,204,202,192,176,189,205,180,150,120,124,90,140,191,204,204,205,206,206,206,207,206,206,207,207,207,206,207,204,201,207,183,149,120,141,192,190,157,103,99,106,192,206,206,207,207,208,208,209,208,208,208,209,209,208,209,189,151,168,204,177,132,57,137,187,128,91,84,114,195,208,207,209,210,209,209,211,211,210,210,211,211,209,207,197,172,136,192,201,156,86,62,89,131,116,83,123,200,209,209,210,211,211,211,211,211,211,211,212,212,211,199,199,200,162,152,207,165,119,72,72,164,158,90,129,202,211,210,211,212,213,213,212,213,214,213,214,213,210,185,159,191,175,116,170,177,122,79,98,160,175,102,124,203,211,212,213,214,215,214,215,216,216,216,216,213,210,196,140,137,161,91,119,182,122,86,108,157,165,98,119,204,212,213,215,216,216,216,216,217,217,216,217,216,203,185,159,124,141,115,101,174,168,114,112,159,129,84,138,207,213,216,216,216,217,217,217,218,218,218,218,215,208,213,190,139,132,138,107,153,188,136,102,140,109,79,175,205,215,216,216,217,218,218,218,218,219,219,219,218,207,217,198,165,140,132,129,179,176,117,98,126,101,95,202,200,216,217,218,219,218,219,220,219,220,221,222,223,208,212,208,179,151,143,158,213,203,163,130,124,92,123,212,199,217,218,219,219,220,221,221,221,222,223,224,224,211,199,202,187,164,154,162,207,204,180,146,122,83,155,213,200,215,216,218,219,219,218,219,220,222,223,223,224,216,195,201,192,184,168,162,201,196,167,132,110,87,190,209,204,216,216,217,218,219,219,219,220,222,223,223,223,224,198,188,197,193,171,152,186,176,150,122,88,112,212,202,203,217,217,218,220,220,222,222,222,223,224,224,223,225,213,181,189,184,168,146,161,161,135,110,74,162,215,202,202,218,218,219,220,221,222,222,222,222,223,224,223,223,223,197,187,176,162,146,146,161,135,94,102,209,207,205,202,216,219,221,223,224,226,227,227,228,229,229,229,230,225,205,189,174,168,159,145,156,130,81,156,219,205,207,209,147,149,154,158,161,166,171,175,178,182,185,190,196,195,200,193,177,182,165,150,150,119,82,179,211,204,199,162
18,154,155,155,157,159,158,157,158,158,156,155,154,154,153,152,152,152,151,150,149,148,147,145,144,143,142,140,139,155,156,157,159,159,160,159,159,160,159,157,156,155,155,155,156,156,152,152,151,149,147,146,145,143,142,140,139,158,158,158,159,159,160,162,161,160,159,160,161,163,161,159,154,148,158,154,155,156,154,146,146,146,145,143,141,158,159,160,160,160,161,162,163,161,160,160,128,102,146,155,113,83,104,161,141,117,128,152,147,146,146,145,144,159,160,160,161,162,163,163,164,164,169,160,114,79,70,124,118,80,49,99,110,82,59,111,158,147,146,145,144,161,161,162,162,163,164,167,143,113,133,159,123,102,67,100,148,86,73,44,98,91,57,46,148,151,148,146,145,161,163,165,165,164,164,173,142,112,89,117,148,103,80,76,147,90,81,77,73,85,72,33,123,157,148,148,146,162,165,165,167,167,166,171,156,134,117,80,129,121,84,58,105,109,95,91,81,100,86,36,122,157,150,148,147,163,165,165,168,167,173,156,155,146,121,95,79,121,90,64,75,119,106,94,93,98,82,35,127,160,150,151,149,164,166,167,168,166,176,159,117,132,119,86,44,106,99,63,56,108,98,94,90,86,79,33,112,163,151,150,149,165,166,168,170,167,174,147,74,103,117,56,33,82,77,45,42,86,56,78,110,106,84,40,94,166,152,151,150,166,167,168,170,168,176,147,107,99,110,51,36,63,54,36,31,61,36,60,147,121,92,50,74,168,154,153,152,167,168,169,169,169,177,159,137,94,102,72,43,59,65,38,30,57,36,32,124,126,99,63,52,160,157,155,153,169,169,169,169,171,177,162,128,97,78,63,34,63,75,35,28,45,82,119,126,146,115,76,36,141,162,155,154,169,169,169,170,172,176,140,106,86,66,46,33,44,42,32,42,79,140,148,131,134,119,78,32,125,168,155,155,169,170,172,173,173,175,155,129,106,84,63,60,52,55,78,107,141,153,146,142,112,101,68,29,131,166,156,156,170,172,174,174,173,177,166,139,112,82,61,60,71,89,113,138,159,156,138,127,105,75,53,39,155,161,159,158,171,173,174,175,174,175,167,145,118,89,72,70,74,90,134,156,166,154,129,113,94,68,31,73,171,159,160,159,172,173,174,174,175,174,168,153,127,104,84,81,71,105,152,164,161,145,122,104,88,60,21,125,170,159,159,158,172,174,174,176,176,171,165,151,128,108,91,88,78,116,161,156,149,137,117,96,81,48,39,162,164,161,160,159,173,175,177,178,177,171,155,142,126,111,98,96,84,120,158,148,140,126,110,88,72,31,78,176,160,163,161,159,173,176,177,176,178,175,153,144,133,115,104,108,89,123,147,144,131,110,98,80,61,22,128,173,162,163,162,159,175,176,176,177,179,179,159,143,134,122,113,111,91,124,142,137,126,103,85,69,40,44,169,165,165,162,162,160,175,178,178,177,178,182,170,142,137,130,117,106,89,110,136,127,114,94,72,59,18,106,179,165,165,164,163,161,175,177,178,178,177,180,177,157,143,131,119,108,93,97,121,117,101,80,63,37,38,169,168,167,166,166,163,161,175,176,176,179,180,182,180,167,150,137,123,113,101,95,111,109,89,71,57,14,108,181,166,167,167,166,164,161,176,177,177,177,180,181,180,175,159,134,118,109,105,101,104,102,85,69,37,44,172,170,170,168,168,166,165,161,177,177,178,178,180,181,179,174,159,136,129,127,121,114,99,97,79,61,22,106,183,169,169,168,168,166,165,162
1,156,159,164,167,171,171,172,175,176,176,177,176,178,182,177,177,178,178,179,179,179,179,180,178,177,178,177,175,160,164,167,171,175,176,177,179,179,181,181,187,171,164,185,180,182,182,182,181,183,183,183,182,181,180,179,179,164,169,172,175,178,180,180,181,183,185,177,201,182,98,192,193,187,187,186,185,187,188,188,188,186,184,183,183,168,172,175,179,182,184,185,186,184,209,184,143,197,83,153,164,193,192,191,191,191,191,192,191,190,189,188,187,171,176,178,184,187,188,188,193,186,219,186,115,198,86,98,108,153,205,193,194,195,194,195,193,192,194,192,190,174,178,183,187,190,191,192,196,192,221,195,118,202,119,104,136,103,211,195,197,198,198,199,196,195,194,195,194,177,182,188,190,192,196,197,202,188,209,221,116,195,156,93,152,88,187,203,201,202,201,201,201,200,199,197,197,182,186,190,194,195,199,198,211,201,128,229,129,162,170,99,170,120,154,215,203,205,205,205,205,203,203,202,199,186,190,193,197,200,204,200,221,206,96,221,144,134,181,119,187,170,119,211,206,207,208,206,206,205,205,204,201,190,193,197,199,203,207,202,220,210,104,214,157,136,206,146,152,200,112,186,219,211,212,210,209,208,207,206,203,192,195,198,201,205,208,205,224,226,115,214,202,132,210,161,124,219,146,147,226,211,214,214,214,212,210,209,206,194,197,201,203,208,211,208,228,226,114,197,220,118,164,167,105,224,181,122,218,217,217,216,215,215,214,212,211,197,200,204,208,212,215,210,226,228,142,146,211,82,135,184,89,196,198,117,194,227,218,219,218,217,218,215,213,200,203,206,211,213,215,214,227,239,165,98,203,157,165,173,181,206,155,120,160,235,219,221,220,219,219,217,215,201,205,208,212,214,218,218,228,240,147,109,179,226,174,154,227,198,136,136,106,226,224,224,222,221,220,219,217,201,205,209,213,216,221,219,229,233,183,199,140,188,178,182,237,169,134,147,95,181,236,225,224,223,223,221,221,202,207,210,214,218,222,220,230,237,211,199,138,142,199,242,230,209,168,120,97,131,240,228,228,226,224,223,223,202,209,213,216,219,223,221,238,240,185,174,142,172,234,236,183,199,227,188,122,91,232,231,230,228,227,227,226,204,209,214,219,221,224,221,242,251,177,150,168,201,178,157,107,177,255,234,188,108,200,240,230,231,231,230,226,204,209,214,217,222,222,222,237,255,199,145,148,131,127,119,190,214,227,229,183,128,140,246,231,233,231,230,228,204,209,212,215,220,222,222,228,255,229,143,157,166,192,235,255,247,225,208,165,97,135,246,230,233,232,231,229,205,210,213,215,221,223,222,227,255,255,167,166,184,195,255,255,252,226,192,158,82,144,248,229,232,233,231,229,206,211,214,218,221,223,225,224,253,255,202,173,199,182,248,255,255,225,181,146,78,164,247,232,235,233,232,230,207,211,213,217,220,222,224,224,242,255,228,185,226,173,232,255,255,217,168,130,76,183,248,234,237,234,232,232,207,211,213,216,220,222,225,226,229,255,244,206,235,182,203,255,242,201,160,119,73,192,247,234,237,235,232,230,207,215,219,222,227,231,231,236,233,245,251,232,222,197,167,255,237,196,150,110,72,211,250,239,236,235,236,235,116,122,127,135,139,144,147,154,149,193,255,242,211,190,152,210,226,178,132,100,87,210,222,227,239,244,237,232,90,88,89,90,90,91,93,96,83,130,254,223,196,177,145,173,202,160,118,97,95,110,160,231,226,222,245,231
23,174,176,176,176,177,177,177,178,178,178,178,178,178,178,178,179,178,177,177,177,177,176,176,176,175,174,175,166,176,177,177,177,178,179,179,179,180,181,180,180,180,179,180,181,181,179,178,178,177,177,177,176,175,176,175,175,176,178,179,180,180,181,181,181,181,181,181,181,181,181,181,181,182,182,182,179,179,178,178,177,177,177,176,176,178,180,181,181,180,181,181,181,181,182,182,182,182,182,182,182,183,183,182,181,181,181,181,180,180,179,178,177,180,181,181,182,182,182,182,183,182,183,183,183,183,183,183,182,183,184,182,182,181,177,178,179,179,181,180,179,181,181,182,183,184,184,184,184,183,183,184,185,183,183,183,184,184,182,189,197,192,185,180,148,126,187,180,181,182,182,183,183,183,184,185,184,184,184,185,186,185,185,185,186,184,194,203,199,165,151,150,117,138,187,181,182,183,183,184,186,185,187,187,187,187,187,187,186,188,187,186,187,202,202,185,160,108,139,156,169,186,184,183,184,184,184,185,186,187,187,187,187,188,187,187,187,187,187,184,199,212,183,119,118,163,191,188,186,184,184,184,184,184,185,186,187,187,187,187,187,188,187,188,187,188,186,191,207,212,151,97,180,194,187,184,187,187,184,185,185,185,186,187,187,187,187,189,188,187,188,189,189,190,187,202,206,205,158,165,192,168,181,189,176,177,189,187,187,186,186,187,188,188,188,188,189,189,188,189,189,190,190,200,199,189,199,203,199,149,139,178,163,144,190,187,186,186,187,188,188,188,188,188,190,189,189,184,172,176,188,191,193,134,173,174,179,149,108,161,171,124,191,188,188,187,187,188,189,190,189,188,190,189,196,193,174,153,165,175,194,179,198,197,183,140,94,133,152,118,193,189,188,187,188,190,189,189,190,190,190,192,204,203,198,179,169,161,159,152,157,176,184,152,96,88,111,99,180,193,188,186,188,190,190,189,190,191,191,190,201,210,202,198,182,167,177,163,147,142,146,149,117,82,94,90,136,198,188,186,187,189,189,189,189,189,191,188,197,212,198,193,174,139,154,180,173,159,143,110,124,91,85,96,114,195,189,186,188,189,189,188,189,190,192,187,197,209,205,201,149,118,108,147,152,143,124,94,120,96,81,91,147,196,186,187,188,188,189,189,190,190,193,186,197,210,212,199,145,104,75,107,164,131,91,102,132,101,80,106,185,191,188,187,188,189,190,190,191,191,192,183,199,213,209,184,150,113,64,127,150,107,70,124,134,103,81,156,197,188,189,187,187,188,189,190,191,191,191,184,202,213,200,173,142,117,72,113,121,64,72,137,124,88,108,195,191,190,190,187,187,187,188,188,190,191,190,188,205,210,192,166,139,115,70,101,99,53,106,131,100,81,159,198,189,191,191,191,191,191,192,193,194,195,190,193,210,204,182,161,141,118,77,96,86,63,121,112,84,99,190,192,190,190,190,164,166,168,171,174,178,183,179,195,203,195,171,153,138,120,80,88,86,85,100,98,88,157,202,196,197,197,196,108,107,106,109,112,112,107,129,195,196,186,158,149,151,118,86,80,90,109,104,93,99,152,157,159,163,165,166,111,110,109,109,109,111,103,127,194,192,178,156,161,160,112,97,85,99,116,113,101,104,100,101,103,99,98,105,111,112,111,111,111,113,106,139,197,186,179,164,169,160,120,103,94,103,110,106,105,112,110,111,114,131,158,180,111,112,112,112,112,115,104,150,204,195,191,176,173,159,128,105,96,100,106,104,113,120,134,165,186,199,193,194
4,208,208,208,209,209,209,208,208,208,209,208,209,209,209,210,210,210,209,209,208,209,209,208,208,208,207,205,203,210,210,210,210,209,209,210,211,209,210,209,209,209,213,210,211,212,211,210,210,209,210,207,209,209,207,206,207,212,210,211,211,211,210,211,211,212,212,211,209,207,212,216,211,213,215,218,212,210,210,210,210,210,208,207,208,211,212,212,211,214,212,211,213,213,212,211,227,211,178,185,213,197,169,194,220,216,213,209,210,210,210,210,209,211,211,213,214,215,215,213,211,215,210,200,214,246,206,146,201,220,164,120,193,185,200,217,210,211,211,211,210,214,214,214,215,216,215,215,211,227,237,218,155,209,238,148,194,235,181,123,191,168,117,190,223,211,213,213,211,216,216,216,215,216,216,215,218,225,230,223,165,176,231,134,177,247,175,148,221,185,119,114,221,214,214,214,214,215,216,217,217,217,218,212,230,219,207,230,151,152,223,147,138,224,142,137,222,195,129,106,220,215,216,214,215,215,217,217,218,218,215,216,236,194,159,219,165,131,218,197,168,183,168,195,233,214,136,136,229,214,217,215,216,215,216,217,220,219,215,227,229,194,150,186,169,115,161,190,200,191,210,220,218,193,156,131,221,218,217,217,216,216,217,217,219,218,221,233,219,208,173,144,118,103,131,126,170,178,187,195,194,168,186,109,183,229,216,219,218,217,217,218,219,219,226,229,199,172,159,138,108,104,145,101,120,145,144,168,154,174,195,127,139,233,215,219,219,218,218,219,220,219,230,230,192,154,131,128,116,119,145,123,155,161,144,109,154,226,203,161,107,212,223,219,222,217,218,218,221,218,236,244,210,169,130,108,107,129,130,147,190,195,159,146,184,229,216,195,115,159,235,218,224,217,217,217,220,218,239,245,219,176,129,110,106,136,140,188,193,194,187,219,219,205,228,195,125,120,233,221,223,217,217,217,218,217,241,245,230,182,127,121,112,122,152,186,188,210,225,218,220,208,196,172,134,106,216,224,222,217,217,219,219,218,245,241,236,185,131,142,134,124,162,183,211,222,219,215,207,195,162,143,128,110,215,223,221,216,217,219,220,223,242,239,224,182,165,159,136,172,205,219,232,224,216,204,191,173,147,120,98,179,227,220,222,217,217,219,220,222,243,239,227,201,185,166,137,194,232,227,233,225,208,192,177,158,133,96,147,229,222,223,222,218,218,219,219,216,243,238,234,219,189,182,155,183,233,227,229,216,189,178,165,145,111,114,221,226,225,224,222,217,218,218,222,210,232,237,240,227,201,187,172,182,230,226,218,201,177,164,147,128,98,186,231,224,225,224,222,222,222,223,226,217,221,238,229,212,201,188,175,185,218,214,201,186,165,152,135,99,138,234,226,226,226,227,226,154,157,159,166,156,203,249,222,203,199,195,180,188,202,200,183,166,150,144,121,100,205,231,228,230,229,224,221,105,107,107,113,92,182,247,218,211,211,200,183,188,200,195,180,152,136,131,106,113,143,143,142,140,144,170,208,117,117,116,121,102,184,247,221,216,215,201,183,189,204,202,178,133,123,113,104,112,101,98,112,165,187,200,216,116,116,115,120,100,182,253,223,217,216,214,188,179,201,196,155,119,114,105,113,116,132,197,222,216,241,226,193,118,118,117,122,103,180,253,224,218,224,228,189,165,195,179,135,114,102,98,155,201,222,240,224,177,181,221,216,115,117,116,120,106,182,245,215,211,223,228,187,161,190,170,125,105,96,174,238,242,222,204,189,176,150,174,207
0,198,196,197,197,197,197,196,195,196,197,197,197,196,196,195,195,194,193,193,192,190,189,189,189,187,185,185,185,200,199,199,199,199,200,199,199,199,199,199,198,198,197,196,196,195,194,194,193,193,191,191,191,189,188,187,186,202,202,201,202,202,202,201,202,201,200,200,200,200,199,199,198,197,195,196,194,194,193,193,192,190,188,187,187,202,202,202,202,202,202,202,202,202,201,202,202,201,199,201,200,199,198,198,196,195,195,194,193,193,191,190,189,203,203,203,203,203,202,202,202,203,203,203,204,203,202,201,201,200,201,199,198,197,194,193,195,194,193,192,192,205,204,205,204,203,203,203,203,204,204,204,204,203,203,195,184,193,199,184,180,193,177,168,196,195,194,193,193,205,205,205,205,204,204,204,204,205,204,204,205,203,195,164,131,124,162,144,122,134,173,121,192,197,195,195,192,206,206,206,206,206,206,207,206,205,207,204,185,163,167,157,128,95,98,138,117,88,165,121,159,198,196,196,194,207,207,208,207,207,207,205,204,189,186,191,165,120,94,151,135,116,99,143,121,86,150,141,101,179,197,196,196,208,208,209,208,208,208,204,192,154,117,173,155,120,83,146,140,129,97,149,124,81,123,148,109,107,178,197,196,209,208,209,209,208,208,193,186,156,121,158,161,131,94,141,143,123,94,150,125,76,88,157,129,98,121,201,197,209,210,210,210,210,204,184,178,166,139,141,168,130,98,121,143,119,80,126,109,67,93,162,138,89,129,201,199,212,211,211,211,211,198,172,160,165,144,124,164,125,98,101,140,109,52,75,72,56,132,168,134,76,173,200,199,213,212,210,210,210,194,183,145,151,133,97,147,128,101,68,91,75,34,57,60,98,164,165,117,95,199,201,202,214,213,212,212,207,188,166,121,126,93,60,114,117,90,40,44,56,94,131,122,148,168,146,90,141,203,202,202,213,214,214,214,204,188,175,139,109,73,49,66,81,56,40,71,131,165,166,157,140,153,123,68,181,204,203,203,214,215,215,215,202,191,184,159,124,102,86,90,100,106,126,155,175,174,166,157,124,117,93,78,202,205,204,203,215,215,215,214,201,191,192,168,140,118,108,118,146,167,179,186,187,175,159,145,107,84,65,148,207,207,205,203,215,215,215,215,202,185,192,172,147,120,120,129,174,186,191,192,185,165,146,130,90,58,114,203,207,207,206,205,214,215,214,214,207,176,185,174,154,131,129,145,186,192,191,190,174,151,130,109,67,93,198,209,208,208,208,206,214,215,214,214,213,178,183,179,162,148,139,159,184,192,190,179,155,138,115,84,71,185,208,209,207,207,207,205,215,215,215,215,216,187,175,181,172,158,141,162,181,184,179,163,137,119,94,64,158,208,207,208,207,206,206,204,215,216,216,215,215,201,171,178,171,155,140,154,174,169,159,140,116,94,64,126,207,210,209,208,207,206,205,205,215,215,215,216,215,213,175,175,163,148,139,147,164,155,140,120,91,63,100,202,212,212,209,208,208,208,207,206,215,215,215,216,216,211,181,174,158,143,139,142,158,147,122,100,65,95,197,212,212,212,211,210,209,208,208,207,215,215,215,216,215,202,182,174,166,161,155,147,152,139,109,79,68,193,212,213,213,213,211,210,209,209,207,206,215,215,215,215,215,185,181,180,175,170,159,149,146,127,90,61,130,214,214,214,213,212,213,211,210,210,207,205,182,185,188,191,193,172,183,187,180,170,160,148,133,107,80,57,175,212,214,215,214,213,212,211,210,209,207,205
14,133,137,140,142,145,147,149,150,153,154,156,157,160,160,160,160,162,163,165,166,166,166,167,168,168,168,169,169,134,137,140,143,146,148,150,152,154,155,157,159,161,161,163,164,166,166,166,167,167,168,168,169,169,169,169,170,135,138,142,146,147,149,151,153,154,155,156,157,158,164,146,143,154,156,167,170,171,169,169,169,169,168,171,171,136,139,143,146,148,149,152,154,155,154,161,164,164,157,113,105,143,147,161,143,153,174,170,169,170,169,171,171,136,139,142,145,148,151,153,154,155,170,172,157,139,124,108,100,132,152,144,101,128,180,169,173,173,173,173,172,137,141,144,147,149,152,152,157,181,181,154,108,91,96,107,105,115,122,119,93,93,167,174,172,174,174,174,173,138,141,145,149,151,152,152,185,185,156,123,85,67,74,92,103,127,120,126,131,111,138,171,174,175,175,174,174,138,141,145,149,152,150,161,195,151,108,82,88,80,93,102,77,94,113,118,142,149,124,132,181,173,175,175,175,140,143,147,149,152,148,181,183,126,82,77,87,82,108,100,83,101,113,123,115,121,97,102,179,175,175,176,176,141,144,148,149,151,155,195,163,117,77,74,74,76,92,82,103,118,87,120,135,127,119,109,130,180,178,176,177,141,144,147,150,148,171,191,142,92,73,80,86,85,75,78,110,107,98,168,181,171,142,124,106,144,172,178,176,141,146,148,152,150,188,170,124,94,91,86,91,88,90,94,85,99,160,179,174,178,178,149,144,117,162,182,177,141,146,149,149,164,197,161,126,110,91,85,88,88,96,100,81,144,184,174,175,180,166,155,142,113,179,178,179,141,146,150,148,185,195,156,123,100,87,84,83,87,95,90,106,178,175,177,177,178,156,157,116,137,187,177,179,141,146,150,148,191,184,149,122,92,82,82,85,91,93,79,123,183,172,177,180,174,150,152,101,140,189,179,180,142,147,151,150,196,181,142,110,85,82,84,88,93,84,77,107,179,179,179,178,143,146,148,105,125,188,178,180,143,148,149,157,200,171,142,112,89,84,87,91,95,93,99,104,134,170,172,155,152,154,144,102,135,188,179,180,143,149,147,168,201,168,140,111,90,83,86,96,98,106,118,127,119,116,137,155,163,157,124,124,180,181,180,180,143,149,145,178,198,165,139,110,92,85,87,95,104,115,126,135,137,128,154,159,158,133,128,181,183,181,180,180,143,149,145,186,191,163,140,115,96,86,89,99,116,127,138,138,139,135,149,155,128,126,180,184,182,183,182,181,143,148,148,193,185,161,139,118,102,89,88,107,130,140,148,147,139,135,132,125,116,178,185,182,183,183,182,182,144,147,152,192,177,159,137,122,104,91,89,114,143,146,146,146,143,134,104,106,172,183,181,183,183,183,183,183,144,147,158,190,170,154,140,126,107,93,90,121,148,143,143,142,143,114,112,173,185,181,182,184,183,183,183,183,146,146,163,187,164,155,146,127,112,98,94,120,148,143,131,138,122,112,178,185,181,183,183,184,184,184,183,183,145,144,173,189,165,161,149,128,114,104,93,112,138,132,122,123,109,167,186,182,183,183,183,184,184,184,184,184,144,144,186,189,170,165,147,128,114,103,92,104,124,118,122,99,157,185,180,183,183,183,183,184,184,184,184,184,145,151,197,183,176,164,137,120,109,96,94,105,110,104,116,155,185,179,182,184,184,184,184,185,185,185,185,185,140,167,196,174,173,154,122,112,102,95,100,101,95,108,161,185,179,180,182,184,184,185,185,185,185,185,185,185
23,143,143,144,144,146,146,146,146,146,147,148,148,147,147,147,147,147,147,146,147,146,145,144,144,144,143,140,139,146,147,147,149,149,150,150,151,151,151,152,151,150,150,150,149,150,151,150,150,149,148,147,146,146,145,144,141,150,152,152,154,153,154,155,155,156,156,154,154,154,153,152,157,157,154,154,152,153,152,150,150,149,147,147,145,155,154,156,158,157,157,159,160,159,158,166,156,158,162,158,128,149,165,156,156,157,155,153,153,153,151,150,149,159,159,159,161,160,160,162,164,160,166,198,171,160,178,164,129,96,146,167,160,160,159,157,156,155,154,153,152,162,163,163,164,165,164,166,168,162,187,187,154,91,109,100,126,127,108,132,167,162,162,161,160,159,159,157,155,165,166,166,167,167,168,169,169,171,196,177,140,75,143,152,135,106,87,98,171,165,164,165,164,163,161,160,159,168,169,169,169,170,171,171,169,182,181,180,119,132,181,137,168,162,149,165,173,169,168,167,168,166,165,164,163,170,172,172,173,174,175,177,174,184,177,181,187,193,169,89,131,193,176,176,175,174,172,169,169,169,168,167,166,173,175,175,175,177,170,158,163,168,177,180,177,171,161,90,75,158,180,176,176,176,175,174,173,170,169,169,169,176,178,177,179,175,153,127,137,147,150,146,145,140,126,89,31,45,153,186,177,178,176,175,176,175,174,172,170,177,179,179,178,181,173,169,158,163,155,142,136,117,63,55,32,22,129,194,179,182,180,178,178,178,177,175,174,179,181,182,178,177,183,181,171,149,101,97,104,101,50,52,31,38,170,188,182,183,183,182,182,180,178,177,176,182,183,185,182,166,169,188,170,100,72,27,78,114,50,53,31,78,197,185,187,186,185,184,184,183,181,179,177,184,184,188,186,166,162,193,166,85,35,17,106,120,56,48,15,97,203,186,189,188,186,186,186,184,184,181,179,185,186,189,188,167,159,195,173,110,41,42,94,65,47,33,19,78,200,189,190,189,189,189,188,187,185,184,184,189,189,191,191,164,162,205,178,111,64,19,13,10,19,27,35,71,197,191,191,191,191,190,189,188,187,186,185,190,189,192,188,157,176,209,177,115,80,31,7,24,30,40,41,93,204,192,192,193,192,192,189,189,189,189,188,191,193,194,189,159,179,199,178,123,85,61,40,55,55,56,44,107,208,193,195,193,193,192,191,191,191,191,190,193,196,196,196,163,169,182,162,112,86,75,49,62,62,60,45,132,210,194,197,196,195,195,193,192,192,190,190,196,197,198,199,168,160,164,146,119,113,82,53,62,62,61,52,175,208,198,198,199,198,197,196,195,193,192,191,197,197,199,202,174,164,163,145,125,113,78,58,63,69,52,91,210,201,201,199,200,200,199,198,196,195,194,191,197,198,199,202,179,178,162,142,116,93,70,62,65,67,59,178,210,202,202,201,201,200,199,198,198,196,195,194,198,199,201,199,184,192,168,148,128,94,67,59,60,61,166,215,204,204,204,204,203,202,200,199,198,198,197,196,199,199,203,197,186,192,166,153,134,87,58,58,46,140,222,205,207,205,206,205,205,204,203,201,200,199,198,197,199,202,206,199,184,170,154,140,113,63,50,52,62,200,209,208,208,206,206,206,205,205,204,203,203,200,199,198,201,203,205,195,185,156,141,136,126,60,55,50,98,216,207,210,208,207,208,208,207,206,206,205,203,202,200,199,201,203,203,193,196,159,138,152,154,68,60,50,115,224,208,210,209,209,209,208,207,207,206,205,204,205,201,192
1,148,152,155,156,159,162,164,165,165,167,167,168,169,168,168,169,169,168,168,168,169,168,169,168,168,167,165,165,151,155,159,159,163,165,166,167,168,169,170,171,170,171,171,171,172,172,172,171,171,172,172,173,172,170,169,169,154,158,161,163,166,168,170,171,171,172,173,173,174,173,177,177,174,177,176,175,175,176,176,176,175,174,173,172,156,160,164,166,170,171,173,173,174,176,176,176,178,181,157,165,180,177,178,177,178,178,178,178,177,177,175,173,160,163,167,170,174,175,176,177,178,179,177,181,171,189,149,120,196,182,178,179,180,180,181,180,178,178,178,176,162,166,170,174,175,178,179,179,179,180,178,197,164,150,162,97,150,164,185,181,183,183,183,182,181,180,179,178,165,170,173,176,178,180,181,182,181,183,181,202,163,144,175,91,134,110,188,185,186,186,187,186,184,184,183,181,169,173,175,179,181,184,184,186,185,186,180,205,173,139,193,111,146,109,166,193,187,187,188,188,187,186,185,184,172,175,177,181,183,185,187,187,187,194,166,160,196,127,192,124,144,131,141,199,189,191,189,188,189,188,187,185,174,178,181,184,186,186,187,191,188,202,163,127,203,121,177,140,158,175,122,195,193,194,193,193,191,190,189,187,175,179,181,185,187,188,190,193,190,206,169,134,199,127,180,161,139,191,122,177,199,194,195,194,194,192,191,190,177,180,183,186,188,190,193,193,191,212,170,141,219,144,170,177,122,195,141,151,206,196,196,195,195,195,193,193,178,183,186,187,190,192,193,196,194,209,168,133,213,127,131,178,106,199,165,131,206,197,199,198,197,198,195,194,180,185,187,189,192,193,195,198,195,209,185,114,182,138,132,167,131,178,159,122,195,202,201,200,199,198,197,196,181,184,188,190,193,195,198,199,197,214,174,114,154,202,158,156,192,159,134,113,175,209,200,200,201,200,200,198,181,185,189,192,194,197,199,199,199,209,180,176,135,169,174,200,192,148,134,114,134,213,200,203,203,201,201,201,182,186,191,194,195,197,200,199,203,207,183,176,133,150,210,208,188,197,154,113,101,205,205,204,205,203,202,202,183,187,191,194,197,199,199,199,206,214,169,149,158,186,182,150,146,226,210,164,92,184,211,204,207,206,205,203,182,187,191,194,197,200,200,200,207,228,173,142,143,134,122,129,175,208,207,172,123,157,217,205,207,206,206,205,184,186,190,193,195,198,199,199,204,236,193,138,151,150,175,210,223,198,186,152,103,141,218,205,207,206,206,207,185,187,190,194,196,198,200,200,202,231,218,147,169,161,206,227,222,205,176,145,83,142,220,205,207,206,206,207,184,187,192,194,197,199,200,201,202,228,233,165,183,165,197,233,231,207,164,133,81,150,220,206,208,208,206,206,184,187,191,192,195,199,200,202,201,220,231,187,198,176,180,237,230,194,156,120,82,177,218,208,209,208,207,206,187,191,195,196,198,201,202,203,202,208,228,210,199,187,164,231,222,185,149,109,84,196,213,210,209,209,209,208,170,175,180,186,190,195,197,198,202,200,223,227,202,182,151,210,214,173,137,100,100,218,219,220,214,209,208,210,97,99,101,106,111,112,115,118,123,118,204,219,189,174,148,180,195,159,124,101,110,178,174,174,193,217,212,206,99,98,98,98,99,99,99,99,101,89,180,209,182,170,145,161,184,155,116,101,96,91,117,169,200,198,208,205,99,103,110,108,107,105,103,103,106,96,177,208,186,164,151,160,181,148,100,94,118,177,220,222,196,169,168,202
15,168,158,144,139,114,114,127,57,47,73,78,81,84,88,93,104,118,131,140,145,150,156,161,166,169,172,175,178,173,160,146,141,113,121,126,52,50,75,79,81,85,89,95,107,121,133,142,147,152,159,164,168,172,175,178,181,177,160,148,143,112,130,123,47,55,77,80,82,86,90,96,110,124,136,144,149,154,161,167,171,175,178,181,183,180,163,153,145,112,138,117,44,60,79,81,83,86,90,98,112,127,138,146,151,157,164,170,174,177,181,184,186,181,164,157,145,114,145,110,42,65,80,82,84,88,91,99,114,129,141,149,153,159,167,173,177,181,184,187,189,181,164,159,143,116,150,101,42,70,81,83,86,89,92,101,117,131,144,151,155,162,170,176,181,184,188,191,193,181,165,161,141,121,151,99,57,82,90,95,100,104,102,103,116,130,143,152,157,164,172,179,184,188,191,195,197,180,169,165,143,129,140,120,106,108,110,115,117,115,109,106,109,116,126,136,145,151,154,159,172,186,194,199,201,178,170,159,134,125,125,119,114,107,108,109,106,104,106,112,112,111,113,115,122,130,128,123,125,145,177,198,205,177,167,149,122,116,112,107,103,101,103,104,103,104,111,118,118,114,110,109,117,126,125,118,107,101,118,158,190,177,169,158,122,122,115,89,90,95,99,101,101,104,113,119,119,115,109,111,120,122,121,119,110,100,95,102,124,175,172,164,123,148,133,60,70,86,88,89,92,96,106,118,126,126,117,117,121,121,120,119,112,106,104,97,91,175,176,163,124,159,129,47,66,84,84,85,88,90,97,116,145,158,140,126,121,118,117,115,113,109,114,111,98,176,178,161,126,165,120,44,70,84,83,85,88,90,98,124,162,163,141,118,112,106,100,105,114,113,124,122,109,180,179,158,129,168,110,43,73,84,83,85,88,91,102,143,167,147,124,91,82,80,71,93,125,126,133,125,112,183,181,154,133,169,100,44,77,84,83,85,88,92,119,165,156,131,109,77,54,49,46,95,145,146,137,118,108,186,181,150,139,170,90,46,79,85,84,85,88,96,148,179,149,120,95,64,44,37,44,109,158,160,142,114,102,187,183,146,144,169,81,48,82,85,84,85,88,98,154,182,156,122,88,51,38,39,55,120,164,170,149,116,99,191,185,143,152,167,73,52,84,85,84,86,88,93,134,181,174,138,95,52,39,58,75,117,161,168,145,116,99,194,187,141,161,166,66,56,85,85,83,85,88,91,115,173,191,160,111,65,47,72,100,128,154,148,127,110,94,196,187,139,169,163,60,59,86,84,82,83,86,90,106,155,197,178,139,108,94,106,134,142,135,118,105,100,90,198,185,138,176,156,54,62,85,83,81,82,84,88,104,139,190,191,170,156,151,156,149,123,105,95,90,91,88,200,183,139,182,147,50,66,84,81,80,80,83,88,105,138,181,175,154,147,153,161,142,105,88,86,85,88,90,199,178,141,186,137,47,69,84,80,78,79,82,88,107,157,177,150,137,136,146,158,139,100,84,97,111,88,77,199,173,145,190,126,44,71,82,77,76,77,81,87,109,164,166,140,130,128,133,145,135,102,96,156,172,96,69,198,168,149,191,130,68,89,94,88,85,84,85,91,110,149,153,140,136,128,118,123,127,104,108,188,193,104,72,198,164,154,192,160,122,121,123,119,116,114,115,117,122,134,141,144,157,158,123,107,132,118,123,178,178,105,77,198,161,159,193,169,126,116,120,120,119,120,122,124,123,121,124,128,142,170,149,110,124,124,124,142,136,96,80
1,186,191,195,196,200,203,205,206,207,208,209,209,211,210,210,211,211,210,210,209,211,210,211,210,209,208,207,206,190,195,199,200,204,206,208,209,210,211,212,213,212,213,213,213,214,215,215,213,214,215,214,215,214,212,211,211,193,199,202,204,207,210,212,213,214,214,216,216,216,215,220,220,216,220,219,217,218,219,219,219,218,216,215,214,196,201,206,208,212,214,216,216,217,220,219,219,221,225,198,207,224,220,221,220,221,221,222,221,220,220,218,216,200,204,208,213,216,218,219,220,221,222,220,225,213,234,187,155,242,226,221,222,223,224,224,224,222,221,221,219,203,207,212,217,218,222,223,222,222,224,221,243,205,189,203,128,190,205,230,225,227,227,227,226,225,224,223,222,206,212,216,220,221,224,225,226,225,227,225,249,205,182,218,121,171,143,233,229,231,231,231,230,229,228,227,225,211,215,218,222,225,228,229,230,230,231,223,252,216,177,238,144,185,142,207,238,232,232,233,233,232,230,230,228,215,218,221,225,227,230,231,232,232,239,207,201,242,162,237,159,182,167,179,245,234,236,234,233,234,233,232,230,217,221,225,228,230,231,232,236,233,249,204,163,250,156,220,178,198,218,157,241,238,239,239,238,237,235,235,232,218,222,225,229,231,233,235,238,235,254,211,170,246,162,223,202,177,236,157,221,246,240,241,240,239,238,237,235,220,224,227,230,233,236,238,239,236,255,213,179,255,183,212,221,157,241,179,190,254,242,242,241,241,240,239,238,222,227,230,232,236,237,239,242,239,255,210,169,255,163,167,221,139,246,207,167,253,244,245,245,243,244,241,240,224,229,232,234,238,239,241,244,241,255,230,148,226,175,168,209,167,222,199,157,241,249,247,246,245,245,243,242,224,229,233,236,238,241,244,245,243,255,216,147,194,250,198,196,237,200,171,146,218,255,246,247,248,247,246,245,225,229,235,237,240,244,246,246,246,255,224,219,172,211,217,247,238,187,170,148,171,255,247,250,251,248,248,247,226,230,236,239,242,244,246,245,251,254,227,219,169,189,255,255,233,244,193,146,132,252,253,252,252,250,249,249,227,232,236,240,244,245,246,245,254,255,211,188,198,230,226,189,185,255,255,205,123,228,255,252,255,254,253,251,226,231,237,240,243,247,246,247,255,255,215,180,181,171,157,165,218,255,254,215,158,197,255,252,255,254,253,252,228,231,235,239,241,244,245,246,251,255,239,175,190,190,218,255,255,244,231,192,134,179,255,253,255,254,253,254,229,231,236,240,242,244,247,247,249,255,255,186,211,201,254,255,255,253,219,184,112,180,255,253,255,254,253,255,229,232,237,240,243,246,247,248,249,255,255,206,227,206,243,255,255,254,205,169,109,189,255,253,255,255,254,254,228,232,236,238,241,245,247,249,248,255,255,232,245,219,224,255,255,240,196,155,110,220,255,255,255,255,255,254,232,236,241,242,244,248,249,250,249,255,255,255,245,232,205,255,255,230,188,142,113,242,255,255,255,255,255,255,212,217,223,230,235,241,243,245,249,247,255,255,249,226,191,255,255,216,174,132,132,255,255,255,255,255,255,255,128,130,132,138,144,145,148,152,157,153,251,255,235,217,187,224,241,199,159,132,143,222,217,217,239,255,255,253,130,130,129,129,130,130,131,130,133,118,224,255,226,212,183,202,228,194,150,132,127,121,151,212,246,244,255,252,131,135,143,141,139,138,135,135,139,127,220,255,231,205,190,201,225,187,132,125,153,220,255,255,242,211,210,249
1,162,164,166,168,169,170,171,171,170,171,172,173,173,173,173,173,173,173,176,174,173,174,175,173,172,172,172,172,165,167,169,171,172,172,172,174,174,174,176,176,175,175,177,176,178,175,166,177,176,176,177,176,175,174,176,175,169,170,173,175,175,175,176,177,177,179,180,179,178,182,159,170,190,185,122,174,182,179,178,179,178,177,176,175,172,173,176,177,178,179,180,180,180,180,181,179,187,199,131,157,198,175,115,176,177,182,182,181,180,179,178,178,174,176,180,181,182,182,183,183,184,184,185,181,197,193,124,166,200,158,122,185,152,149,189,182,183,182,181,180,178,180,183,185,186,186,186,186,186,188,182,155,193,180,125,178,200,144,130,194,156,122,192,185,185,184,183,183,180,182,186,187,188,188,190,190,188,199,182,133,172,170,129,188,206,147,147,203,158,121,191,188,188,188,187,186,183,186,187,188,189,192,193,193,190,206,173,130,169,168,139,191,197,143,158,206,149,125,195,190,190,189,189,188,186,188,190,191,193,195,194,194,193,206,160,134,164,152,133,179,183,134,169,210,148,132,200,193,193,192,191,190,188,190,192,194,195,197,197,195,195,212,163,142,158,154,118,186,180,131,186,206,146,140,206,196,195,195,195,194,190,192,194,196,197,198,199,199,199,212,154,134,160,170,120,197,185,137,197,193,140,151,207,197,200,199,197,196,193,194,196,198,199,200,200,199,203,216,171,129,148,157,114,190,165,142,207,199,137,165,208,199,201,200,199,199,195,197,199,200,201,202,202,200,204,216,166,119,145,143,115,174,144,154,210,191,133,179,210,203,203,201,201,200,195,198,200,202,204,204,205,202,208,217,175,148,168,192,182,192,190,150,170,188,129,191,209,206,205,204,203,202,196,199,201,203,206,205,207,204,216,217,181,158,134,166,201,198,200,173,129,156,129,203,209,207,206,205,205,205,199,201,204,204,205,207,208,205,223,205,169,143,122,118,144,157,207,207,152,104,130,213,209,209,209,207,206,205,200,202,205,206,207,209,208,208,228,206,169,136,128,132,138,160,213,223,190,109,142,220,209,210,210,209,208,207,202,205,206,208,209,211,210,212,229,205,163,140,140,143,169,198,190,216,198,132,152,223,210,212,211,210,211,210,204,206,208,209,210,212,211,215,228,200,167,139,149,148,192,217,202,184,170,140,126,216,213,213,212,211,211,211,205,208,209,209,210,211,212,219,226,202,171,151,154,165,215,219,197,177,145,121,131,219,214,214,214,214,213,213,207,208,210,211,211,214,214,219,225,202,171,160,149,180,226,222,188,165,136,105,146,225,215,216,215,215,215,214,209,210,211,212,213,214,215,218,222,200,176,168,151,177,226,217,179,155,128,103,177,226,217,217,217,217,216,215,209,210,212,214,215,216,215,216,217,201,183,177,154,172,224,198,169,142,117,125,219,220,218,217,218,217,217,217,208,211,213,214,214,215,217,217,215,204,185,180,152,178,216,187,164,132,105,165,228,219,220,219,218,219,220,219,209,212,214,216,216,216,219,218,222,205,187,177,145,180,199,174,155,122,108,203,227,221,221,219,219,220,220,219,210,212,215,217,217,218,217,216,224,209,194,170,148,178,174,157,144,109,135,227,222,223,223,222,222,221,221,220,210,212,213,216,217,219,213,219,224,222,203,172,158,177,164,154,134,108,188,229,223,224,224,224,224,222,222,221,209,212,213,214,215,215,212,220,217,212,199,171,166,165,156,143,113,145,228,223,224,223,225,224,224,223,222,222
13,104,106,111,120,127,132,136,137,140,144,150,151,153,156,159,160,161,162,161,164,164,163,163,163,164,164,163,162,107,109,114,122,129,133,137,139,142,146,150,153,155,158,160,161,163,163,164,166,166,165,165,164,167,167,167,165,109,112,117,125,132,135,138,141,145,148,151,155,158,160,162,163,164,166,166,165,166,166,168,167,169,168,168,167,111,114,120,127,134,138,141,144,146,150,153,156,159,163,163,160,165,160,164,175,174,170,169,170,171,170,168,168,113,116,121,129,135,139,143,147,150,153,155,158,162,164,171,197,194,145,98,141,157,170,177,171,172,172,171,171,115,118,124,131,137,142,145,149,152,155,159,160,164,161,164,186,198,144,76,47,99,102,147,178,172,174,174,173,114,120,126,132,139,143,147,150,153,159,161,167,179,128,107,120,183,150,83,43,113,86,61,179,176,175,174,174,116,120,128,133,140,145,147,153,155,161,149,192,209,167,121,70,137,186,117,47,120,84,59,177,177,176,176,175,116,121,130,135,142,146,150,153,157,178,120,100,195,201,154,78,52,182,124,48,128,97,72,185,177,178,177,177,119,123,130,136,143,147,151,151,189,197,142,73,99,216,172,105,19,73,102,36,161,106,111,189,178,180,178,177,121,125,131,140,144,149,148,185,187,195,174,114,34,176,165,97,26,2,36,37,130,77,135,192,179,181,179,179,122,126,135,142,147,147,169,194,133,168,184,128,29,121,156,82,24,0,47,94,109,78,80,187,183,182,182,181,124,129,139,144,149,150,200,192,142,142,159,103,31,85,154,106,20,36,123,132,100,81,62,138,195,182,185,183,128,133,141,147,149,166,193,161,117,121,138,77,17,51,169,122,28,126,166,137,95,63,70,82,192,184,185,185,129,135,144,152,150,180,205,169,127,97,117,78,12,5,149,102,87,183,160,130,93,68,54,76,194,186,186,186,130,137,148,156,153,185,211,175,144,86,80,70,15,57,159,158,179,172,144,110,87,64,32,130,200,187,189,189,131,140,151,159,156,194,218,186,152,103,74,77,111,165,193,197,189,159,129,99,78,49,49,185,191,190,190,189,133,144,153,161,159,201,222,198,151,125,135,128,145,171,190,185,177,148,117,95,68,29,92,205,187,192,191,191,138,148,158,164,164,202,211,208,165,147,150,119,161,174,184,186,161,133,107,83,59,18,141,204,191,193,192,192,143,153,162,169,169,191,205,213,181,161,153,130,166,188,174,168,141,115,92,74,36,55,202,196,196,195,195,195,146,156,166,173,175,178,207,206,191,169,150,137,156,183,170,143,124,101,88,62,39,173,207,197,198,197,197,196,149,159,168,173,179,176,198,197,192,177,164,150,145,171,164,134,111,88,80,39,144,215,199,201,200,200,197,196,152,162,170,175,182,179,185,204,194,189,183,161,143,161,156,122,87,84,50,101,215,201,204,205,202,199,207,207,154,164,174,180,185,182,177,205,187,181,175,152,136,147,137,109,73,69,58,194,209,205,207,205,204,211,171,106,156,167,177,183,186,186,181,197,158,158,167,155,137,139,124,103,81,44,129,220,207,208,206,208,215,129,28,1,158,169,178,183,188,189,182,206,167,170,180,171,142,127,117,104,81,42,174,212,212,210,220,218,118,19,19,0,159,170,178,183,187,190,178,211,182,184,193,171,148,122,116,102,78,45,192,213,212,216,161,70,12,20,32,0,160,172,179,184,187,194,179,206,202,204,202,173,152,125,113,103,73,48,197,210,221,161,33,10,0,7,30,13
14,156,158,158,158,157,159,159,159,159,158,158,158,158,159,158,156,156,155,153,153,152,151,150,149,149,147,146,144,159,160,160,161,161,160,161,162,160,160,161,161,161,161,160,159,159,156,156,156,153,154,153,152,151,150,148,147,161,162,162,163,163,162,163,163,162,162,162,163,162,161,163,164,162,160,160,160,158,156,155,155,154,153,151,150,163,165,164,165,166,166,166,165,166,165,165,166,165,164,156,147,156,159,156,153,154,159,162,155,156,155,154,153,166,167,166,167,168,168,167,167,167,166,168,168,167,160,146,128,135,138,133,138,132,105,136,168,157,156,155,154,168,168,169,169,169,170,169,169,170,168,167,150,145,156,161,157,152,138,100,110,128,102,76,122,165,161,157,155,170,170,171,171,172,172,170,171,171,170,168,167,163,168,168,160,152,142,125,96,106,118,93,87,122,151,160,157,172,172,172,172,173,173,172,172,172,170,170,158,142,134,124,110,89,91,123,128,128,134,92,98,117,93,157,163,173,173,174,174,174,174,174,173,174,174,169,140,137,140,115,88,72,73,70,96,112,96,68,56,83,57,82,162,174,175,175,174,175,175,175,176,173,158,159,169,167,152,132,116,116,140,91,134,151,125,148,108,58,53,49,93,177,178,177,177,177,176,177,178,172,161,165,159,148,121,103,97,95,87,96,172,177,177,173,183,139,48,65,69,178,179,178,178,178,178,179,180,168,162,155,127,98,54,39,41,40,72,167,175,172,172,172,169,88,74,88,84,179,179,179,179,179,179,179,177,168,159,115,71,43,35,40,44,29,124,188,172,176,172,183,121,74,104,97,73,179,181,181,180,182,181,182,177,170,153,100,54,44,46,49,55,42,141,184,176,176,178,162,83,95,101,89,63,182,182,182,182,183,182,183,177,169,149,102,51,49,49,47,49,42,165,182,177,175,186,114,73,94,96,67,105,184,183,183,184,184,184,185,176,170,136,76,49,61,48,45,47,32,143,197,175,184,161,81,78,83,84,61,158,185,184,185,184,184,186,183,173,169,133,87,72,59,46,47,44,32,48,135,185,182,91,85,91,82,55,118,182,186,186,186,186,184,187,181,172,172,146,100,75,54,48,52,51,53,53,47,103,103,67,89,90,68,88,181,173,186,187,187,187,186,187,181,169,172,140,100,80,54,50,58,65,67,72,77,74,63,78,88,78,68,166,181,174,187,188,187,186,187,188,181,164,167,141,117,82,50,52,60,72,73,78,83,93,89,73,93,64,127,189,176,176,187,188,188,187,187,190,182,159,164,149,117,80,59,49,61,77,78,78,84,96,96,83,70,72,178,182,180,178,187,188,189,189,189,191,182,162,170,150,124,97,68,49,63,79,80,83,89,101,100,88,55,125,191,180,180,179,189,189,190,191,190,192,181,164,173,148,121,93,75,52,59,82,82,86,95,102,97,71,85,190,183,183,181,180,191,191,192,192,191,193,180,167,169,140,115,96,79,60,54,83,82,86,98,98,91,54,132,195,182,184,182,181,190,191,191,192,190,194,179,164,166,136,111,100,82,66,52,75,81,85,94,91,75,62,179,187,184,184,183,182,190,190,191,192,190,194,175,159,162,133,112,101,80,66,53,67,82,81,83,83,46,128,197,184,186,184,183,182,190,190,191,192,190,194,176,155,153,132,111,92,75,66,55,62,77,77,77,55,87,190,185,185,185,184,182,181,191,191,192,192,191,195,174,152,147,130,106,89,77,67,57,62,70,73,59,74,182,190,185,185,185,185,183,181
21,118,120,125,131,136,140,143,145,149,152,155,156,158,161,163,163,164,166,166,166,167,168,167,167,168,169,168,168,119,122,128,133,138,142,145,147,151,154,156,159,161,164,165,165,170,168,169,169,169,169,169,170,171,171,170,170,120,123,130,135,140,144,147,150,153,156,158,161,164,166,171,151,135,173,170,171,171,173,176,173,174,174,174,174,122,126,132,137,142,146,149,152,155,158,160,164,166,168,176,159,90,165,175,173,175,163,153,178,176,176,176,176,124,128,134,140,144,148,151,154,157,159,162,165,169,168,177,168,97,146,182,175,177,167,103,158,183,178,178,177,127,129,135,142,146,150,152,156,159,162,165,168,171,171,179,171,104,127,186,175,179,175,110,131,189,179,179,179,127,131,138,144,148,151,154,158,161,164,167,170,173,175,178,173,120,115,184,178,181,173,117,116,189,179,180,180,128,133,139,145,149,152,156,159,162,166,169,172,174,176,177,184,147,109,174,183,182,175,123,109,187,182,183,182,130,134,141,147,152,155,158,161,164,167,170,173,176,177,177,189,157,109,158,188,182,181,142,106,185,186,185,185,131,135,143,148,153,156,159,162,165,169,172,175,176,179,180,194,163,115,139,192,183,182,150,102,179,188,187,188,132,137,144,150,153,157,160,164,166,170,173,176,177,177,172,199,182,137,129,191,186,181,155,102,173,192,187,188,132,138,146,150,154,158,161,164,168,171,174,177,179,175,159,164,198,162,127,186,188,190,172,110,170,193,188,189,133,139,146,151,156,160,163,166,170,173,176,177,189,205,193,159,152,149,121,180,191,190,175,110,168,195,188,189,134,140,148,152,157,161,165,168,170,173,176,179,183,179,189,183,147,107,94,160,190,178,169,109,166,197,190,191,135,140,148,153,158,162,164,168,172,175,178,181,181,162,144,136,157,127,119,116,133,154,156,106,162,201,191,193,137,142,150,154,159,163,166,169,172,176,179,181,187,194,174,125,122,161,164,154,118,102,136,101,154,202,191,193,137,144,151,155,159,163,168,171,173,177,180,184,175,166,182,145,83,120,173,169,133,83,101,90,154,203,193,194,138,145,151,156,160,163,167,170,174,178,181,185,176,109,140,156,97,61,115,160,144,113,81,74,147,204,193,195,138,146,153,157,161,164,168,171,175,178,182,185,174,147,127,144,129,98,45,125,168,139,97,66,124,207,195,197,138,145,152,157,161,164,169,172,174,179,182,185,188,174,121,100,129,114,62,87,170,162,124,82,101,204,196,197,137,144,151,156,159,163,168,171,175,178,181,183,195,169,140,117,90,82,92,122,167,180,141,111,91,191,200,198,139,145,151,156,160,163,168,172,175,179,183,183,197,190,168,117,96,104,126,186,185,168,141,115,88,185,201,198,139,146,152,157,161,164,169,173,175,179,183,183,196,192,153,111,117,126,149,206,187,159,124,102,86,186,201,197,139,146,153,157,161,166,170,173,175,180,182,183,193,190,149,136,130,119,164,208,178,150,118,92,87,189,201,198,139,146,153,156,161,165,169,171,175,179,181,182,189,185,165,143,123,120,171,205,174,144,113,92,89,192,200,199,141,149,155,160,165,169,173,176,180,184,186,187,188,182,169,131,131,130,166,196,171,143,108,88,93,194,198,198,116,120,125,131,134,139,144,150,156,161,165,167,173,179,169,135,152,133,155,184,154,129,102,83,102,205,201,203,92,93,92,92,93,94,96,99,100,101,102,103,109,168,171,146,155,139,143,176,138,112,94,85,95,144,147,152
16,93,95,99,104,113,123,129,136,141,144,145,147,151,156,160,164,166,168,169,171,173,174,176,177,178,179,180,182,93,95,100,105,114,124,131,137,142,144,145,148,153,157,159,162,166,169,171,172,174,175,177,178,180,180,180,182,94,96,101,105,115,125,132,138,143,144,146,150,154,158,160,164,166,169,171,173,174,176,178,179,180,181,182,183,94,97,101,105,117,126,133,138,143,146,149,152,155,158,162,165,168,170,171,173,175,178,179,180,181,182,182,183,94,98,101,106,118,128,135,140,145,147,150,152,157,161,161,164,169,172,173,175,178,179,181,181,182,183,183,183,95,98,102,109,120,130,137,141,145,148,148,147,147,142,132,127,138,166,174,176,179,181,182,182,184,185,185,185,97,99,103,111,121,130,136,144,151,145,133,122,113,101,95,96,94,113,163,180,181,182,184,185,186,186,187,188,98,100,103,111,121,132,147,159,151,131,106,101,98,88,82,89,95,83,105,166,184,183,186,188,188,188,189,189,98,101,104,111,125,151,162,142,120,100,85,93,93,84,80,88,93,83,88,108,178,185,188,189,189,190,191,190,98,101,102,129,151,145,118,104,95,84,82,95,93,83,85,90,90,85,95,81,131,189,189,190,190,191,192,192,97,106,136,159,131,104,86,86,87,78,89,98,90,84,92,91,84,92,96,86,86,173,190,190,193,194,195,195,101,170,177,131,99,83,76,81,105,125,100,82,66,83,97,87,70,95,95,85,73,123,192,194,194,195,195,196,121,196,150,111,87,78,97,131,185,182,116,68,64,68,86,73,63,102,94,83,77,76,151,194,195,195,196,197,107,156,122,95,98,141,192,195,204,181,131,81,70,66,56,42,68,108,92,93,91,85,91,161,197,197,197,199,99,108,107,107,177,198,203,195,203,173,133,95,78,67,34,22,72,107,91,100,103,99,89,102,190,199,199,199,101,102,106,130,201,192,204,198,198,159,121,97,90,81,67,31,59,99,91,102,108,97,84,76,161,202,200,200,101,104,104,149,210,193,209,199,181,136,98,96,99,92,83,62,44,82,101,136,126,96,80,68,126,204,201,202,102,103,104,173,213,190,206,193,158,115,100,105,107,101,88,74,46,61,141,174,172,152,118,74,126,206,203,203,103,104,106,180,213,187,182,168,119,91,93,109,106,95,88,79,70,65,163,194,196,194,184,147,154,201,204,205,102,103,107,159,214,178,132,118,86,81,88,93,89,81,77,75,84,76,159,201,200,202,203,184,146,163,206,206,102,103,109,133,182,131,97,89,86,92,95,88,75,70,73,69,73,71,134,202,196,198,196,173,133,123,203,206,102,104,111,123,142,106,87,97,92,85,79,74,67,63,64,63,76,91,105,160,179,185,182,157,120,144,207,208,104,105,112,124,134,130,92,87,75,88,95,100,91,72,62,78,88,94,88,81,102,146,163,148,158,198,209,209,104,105,112,125,138,126,83,78,71,79,130,112,89,77,64,54,54,48,45,41,32,106,201,201,208,211,210,210,103,105,112,125,136,109,82,75,74,64,49,61,46,33,24,19,19,20,19,19,14,86,209,210,210,210,210,211,102,105,113,127,127,94,79,72,69,73,36,15,30,29,22,15,15,16,16,16,20,152,212,209,210,210,212,213,102,105,113,126,112,85,76,69,66,68,58,11,21,30,22,16,15,15,16,13,47,194,209,210,212,213,213,214,102,105,113,123,95,79,74,67,64,67,67,16,12,25,21,17,15,14,15,11,90,213,210,210,213,214,214,214
3,192,195,197,199,204,205,207,207,208,208,208,208,209,208,207,202,221,223,138,185,205,200,199,197,194,193,191,189,194,198,200,202,205,207,209,211,211,212,211,210,211,210,210,204,225,210,124,159,212,201,199,199,197,195,193,191,196,200,202,204,207,210,211,213,214,214,214,213,213,212,211,207,225,200,125,149,214,202,201,201,199,196,194,192,198,201,204,206,209,212,214,215,216,216,216,215,214,214,213,210,225,202,125,145,214,204,204,202,200,198,196,194,200,203,206,209,211,214,216,217,218,218,218,217,217,217,215,211,229,226,146,138,212,206,205,204,202,200,198,195,203,206,208,211,214,216,218,220,221,221,221,221,219,218,217,211,235,231,146,130,211,208,206,206,203,200,199,198,204,208,211,214,217,219,221,222,223,223,223,222,221,221,220,213,239,220,135,127,214,210,208,207,204,201,200,200,206,209,214,216,220,222,224,225,226,225,226,225,223,223,222,215,240,219,138,130,217,213,211,208,206,204,201,200,208,212,216,220,222,223,227,228,228,229,229,228,227,225,224,220,251,216,140,129,217,214,213,210,208,206,204,202,209,214,218,221,223,227,228,230,231,232,231,230,230,226,227,216,201,175,118,127,223,214,214,212,209,206,204,202,211,216,220,223,226,230,231,232,233,233,233,232,230,233,254,209,138,105,84,149,229,215,216,215,211,208,206,204,212,218,222,225,229,231,233,235,236,235,235,231,229,210,207,212,166,124,67,192,231,217,219,217,214,210,207,205,215,219,224,227,230,233,235,236,237,237,232,247,247,177,114,178,239,154,110,171,215,226,221,217,215,213,210,207,215,221,225,228,232,235,236,239,233,242,204,162,220,184,132,153,246,147,125,105,140,165,220,219,216,215,213,209,216,222,226,230,234,237,238,237,253,254,205,137,170,208,152,129,206,157,144,125,157,118,192,228,216,215,214,212,218,223,228,231,234,238,238,246,255,240,225,181,137,203,151,116,169,169,157,137,152,105,180,232,218,218,215,212,217,223,228,232,235,239,238,255,255,226,235,186,130,170,150,115,159,130,119,151,129,94,177,234,219,220,216,215,217,222,228,232,235,238,238,255,248,199,204,184,122,137,147,97,189,191,101,174,159,96,153,235,219,218,216,214,220,224,229,234,237,239,241,244,243,217,204,162,100,130,131,78,184,198,105,155,165,93,133,236,219,219,215,212,220,225,230,234,237,239,241,247,255,238,215,151,125,134,144,106,168,172,146,147,135,88,177,232,218,219,220,224,219,226,232,235,237,239,241,246,255,246,231,156,133,133,158,171,225,202,171,149,98,116,234,232,234,231,209,164,222,228,234,238,241,243,247,249,255,255,227,173,153,142,208,237,214,180,141,134,94,186,240,197,170,140,93,66,168,169,171,172,174,174,171,171,244,251,217,196,166,157,219,228,192,158,133,120,96,126,105,66,50,46,54,59,141,143,143,144,142,140,142,126,205,250,218,199,180,147,184,196,165,139,121,102,70,49,47,49,57,54,46,50,150,151,150,150,150,151,161,128,126,248,220,199,180,138,140,138,131,117,101,70,53,56,57,49,48,58,53,46,151,151,149,148,149,149,151,123,65,151,212,202,157,119,121,118,120,92,54,70,46,42,53,52,44,48,55,55,151,153,154,152,151,152,145,97,80,74,117,147,127,122,114,107,94,52,23,53,63,32,41,50,48,45,48,54,152,153,153,151,150,154,126,83,84,82,69,82,112,105,85,76,53,27,25,40,64,48,28,45,49,46,45,53
13,141,143,149,154,159,162,165,168,171,173,174,176,178,179,180,180,180,180,180,181,181,181,180,180,179,178,176,176,142,144,149,155,160,163,166,169,171,173,175,177,178,180,180,181,181,181,181,182,182,182,181,181,180,179,177,177,143,145,150,156,161,164,167,170,173,175,177,178,179,180,181,182,182,182,183,184,184,183,182,182,181,180,179,179,143,146,152,157,161,165,168,171,174,176,178,179,184,181,177,181,184,184,184,185,185,184,183,183,182,181,180,180,144,147,152,158,163,166,170,172,175,177,179,186,206,193,163,168,184,184,183,184,185,185,185,184,184,183,181,181,144,147,153,159,164,168,170,173,175,177,179,194,227,214,170,154,178,182,167,164,181,186,186,186,185,184,183,182,145,148,153,159,165,169,171,173,178,187,182,186,221,217,179,144,156,162,140,125,162,186,187,187,186,185,184,183,145,148,154,159,165,169,173,174,192,210,186,167,190,195,166,126,136,133,112,101,141,185,188,187,187,186,186,185,146,149,155,160,165,172,185,178,192,218,194,161,167,181,160,130,139,122,95,92,135,185,189,188,188,188,187,186,147,151,157,162,166,185,210,183,167,202,204,166,146,172,181,170,160,136,100,86,136,186,190,189,188,188,187,187,148,151,157,162,168,201,220,192,159,175,202,171,125,126,165,178,175,168,138,103,146,189,191,190,189,189,188,187,148,151,157,162,172,204,214,199,163,150,188,176,125,82,107,141,169,188,180,143,155,188,192,191,191,190,189,188,147,150,155,160,176,207,205,198,167,136,165,181,135,77,74,110,163,201,203,175,147,171,190,191,190,189,188,188,146,150,155,162,189,217,202,192,174,133,134,175,144,90,93,146,183,194,192,175,141,146,185,192,191,189,188,188,147,151,156,165,206,221,195,177,171,141,115,160,166,142,162,193,195,188,171,154,140,131,175,192,192,191,190,189,148,152,157,167,214,225,199,171,164,161,135,161,199,206,205,198,189,177,155,136,130,130,173,192,192,192,191,190,147,151,156,168,217,230,211,191,176,177,185,203,221,221,204,188,179,161,141,122,119,147,185,193,192,192,191,190,145,150,156,169,219,235,220,205,191,184,200,219,223,215,194,174,163,147,130,113,129,173,192,193,192,191,190,189,144,148,153,164,212,234,225,209,194,186,199,217,216,200,178,159,148,138,119,115,154,183,187,186,184,183,182,182,128,130,133,138,190,230,226,213,197,190,200,212,202,178,162,152,144,128,109,111,134,141,140,139,138,137,136,136,107,108,109,110,157,221,225,214,200,193,198,206,192,164,149,146,136,116,103,101,103,102,101,100,99,98,98,97,107,108,109,108,137,208,219,213,202,191,192,203,188,155,137,133,120,106,103,102,102,100,99,98,97,97,96,96,108,109,110,110,126,194,213,213,206,192,188,198,183,145,125,118,107,103,103,102,102,102,101,100,99,99,98,97,111,111,111,111,120,183,212,218,213,197,185,193,181,141,120,109,103,104,103,102,101,101,101,100,100,100,99,97,112,113,113,112,116,174,215,225,220,202,182,187,181,143,117,103,102,105,104,102,101,101,101,100,100,99,98,97,111,112,113,113,114,160,216,226,218,200,180,182,180,144,114,100,101,105,105,103,102,102,101,99,100,100,99,103,111,112,112,112,113,142,207,218,203,189,177,176,175,144,113,98,101,105,104,103,103,104,101,99,100,100,109,147,111,112,112,113,113,131,199,211,191,183,180,172,169,144,114,97,100,105,105,103,103,105,101,99,99,101,134,191
23,217,219,220,222,223,223,223,224,226,227,229,230,230,227,225,225,226,227,228,226,227,227,228,228,227,228,225,224,219,220,221,223,223,224,226,227,229,230,229,226,227,230,243,254,247,224,222,229,230,228,228,229,229,229,227,226,220,221,223,224,226,227,228,228,231,229,232,241,252,255,255,255,248,233,220,221,183,209,233,231,231,230,229,228,221,223,225,225,228,229,228,230,232,229,255,255,255,251,248,222,179,183,179,161,161,227,232,232,232,232,232,232,223,224,225,227,228,230,231,233,228,239,255,255,221,222,194,165,197,198,189,198,229,234,232,233,234,234,233,233,224,224,226,229,231,232,233,234,226,249,255,255,200,158,177,217,238,239,240,239,235,233,234,236,235,234,233,233,226,225,228,231,232,232,235,236,229,255,255,254,210,181,241,240,248,248,225,235,234,236,236,237,237,236,235,235,227,228,231,231,232,234,235,235,235,255,255,255,199,188,255,255,255,255,190,230,249,237,237,239,240,238,238,237,229,231,232,232,234,236,238,231,246,255,255,255,218,255,255,255,255,245,173,167,197,237,241,239,239,239,239,238,230,232,233,235,236,238,240,230,255,255,255,255,255,255,255,255,249,234,237,193,121,193,248,238,239,241,240,239,232,234,235,237,238,238,239,235,255,255,255,255,255,255,255,255,255,255,255,231,145,155,252,242,244,243,242,241,234,235,237,238,240,239,236,255,255,255,255,255,255,255,255,255,255,251,234,200,147,131,206,249,242,246,243,243,234,235,238,239,240,235,255,255,255,255,255,255,255,255,255,255,250,236,237,220,143,128,150,245,246,246,245,245,236,238,240,241,241,234,255,255,255,255,255,255,255,255,255,255,250,244,247,230,152,121,159,252,246,246,247,247,238,239,241,243,243,240,255,255,255,255,255,255,255,255,255,250,238,233,229,198,154,121,196,255,246,248,247,248,239,240,240,244,248,243,255,255,255,255,255,255,255,252,218,220,210,200,187,186,152,139,235,255,249,249,249,248,241,242,242,245,248,244,255,255,255,255,255,255,255,239,190,158,142,147,180,185,146,167,255,252,252,251,249,249,242,243,244,246,248,246,252,255,255,255,255,255,251,224,197,163,73,114,186,183,142,202,255,252,253,253,252,251,243,245,246,247,248,247,250,255,255,255,255,255,255,255,193,120,93,147,176,161,136,230,255,252,254,255,254,251,245,246,247,248,249,249,249,255,255,255,255,255,255,254,190,120,115,162,146,134,157,255,255,254,255,255,254,254,246,247,247,249,252,252,249,255,255,255,255,255,255,238,193,152,111,128,136,137,174,255,253,255,255,255,255,255,246,248,249,250,252,255,250,255,255,255,255,255,255,239,192,162,109,122,148,139,191,255,255,255,255,255,255,255,247,248,249,252,253,255,251,255,255,255,255,255,255,240,194,168,130,133,155,139,219,255,255,255,255,255,255,255,247,249,251,253,254,255,251,255,255,255,255,255,255,242,200,171,140,143,157,145,246,255,255,255,255,255,255,255,247,249,252,253,255,255,251,255,255,255,255,255,255,233,196,168,148,147,146,171,255,255,255,255,255,255,255,255,249,251,253,254,255,255,253,255,255,255,255,255,247,222,188,166,157,152,135,228,255,255,255,255,255,255,255,255,251,253,255,255,255,255,255,255,255,255,255,252,230,203,180,171,162,140,168,255,255,255,255,255,255,255,255,255,253,254,255,255,255,255,255,255,255,255,255,250,229,203,181,169,158,150,248,255,255,255,255,255,255,255,255,255
16,86,84,81,80,80,82,82,84,85,90,103,114,124,132,140,147,150,152,156,158,163,169,173,177,181,185,188,190,85,83,81,80,80,81,82,83,83,91,103,113,123,131,139,147,151,152,154,157,163,168,173,177,180,184,187,189,85,83,80,79,80,80,81,81,82,90,102,112,122,131,139,146,152,166,154,138,152,167,173,175,180,183,186,189,84,82,80,79,79,79,81,81,81,90,101,111,121,132,143,150,176,179,154,128,111,122,154,176,180,183,186,188,85,82,79,78,79,79,80,80,81,90,102,112,119,165,180,179,182,162,137,126,110,90,90,128,170,185,187,189,84,81,79,78,79,79,79,78,80,88,100,107,141,194,181,169,162,145,127,111,103,97,84,77,101,144,169,183,83,81,80,78,78,78,78,79,79,88,96,126,182,176,157,149,140,130,114,96,98,100,90,82,78,82,98,119,83,81,79,78,78,77,78,79,79,86,107,169,173,152,142,130,115,106,95,91,89,100,100,89,85,79,77,77,81,78,77,76,76,75,77,78,77,111,151,159,144,134,120,105,95,86,88,86,73,102,101,107,92,84,77,73,79,76,75,74,76,74,75,72,97,175,161,137,126,113,96,87,80,76,82,73,66,107,107,117,99,89,78,71,81,78,75,75,75,75,75,68,156,194,159,126,101,89,82,76,68,74,71,52,70,110,110,117,103,92,78,72,131,127,125,121,117,114,109,124,193,181,143,106,79,68,65,60,64,68,49,36,79,109,110,123,112,102,86,80,117,114,113,112,110,109,113,178,182,156,116,84,64,59,55,43,44,38,24,24,78,105,111,136,131,114,96,82,111,110,110,111,109,105,140,179,151,120,89,69,58,59,47,25,18,12,13,15,67,103,118,144,133,117,107,78,114,114,114,115,111,122,178,160,119,84,71,61,58,59,45,20,8,9,11,12,47,95,128,146,114,113,110,73,115,117,116,116,111,158,178,131,89,64,59,60,64,66,64,48,18,13,15,16,24,96,150,129,95,104,98,66,116,118,119,114,134,168,137,95,67,82,71,67,70,73,71,67,43,38,40,34,49,143,146,107,85,87,75,63,115,117,116,125,168,137,94,66,81,117,92,89,86,81,76,68,59,56,54,48,120,157,124,90,75,69,62,62,117,116,112,159,151,98,66,69,106,103,88,89,89,82,78,71,62,60,49,81,170,148,102,72,64,59,59,62,117,117,115,144,113,73,72,104,114,106,105,94,81,72,72,67,62,63,66,138,180,146,84,59,56,56,61,60,115,117,117,118,107,101,109,114,116,116,114,108,99,88,95,94,93,103,110,179,184,150,81,49,54,67,65,59,114,115,116,116,115,116,115,115,116,116,116,117,117,116,117,116,116,117,116,184,187,150,88,54,81,75,67,64,112,114,115,115,115,115,115,114,116,116,116,117,117,117,117,116,117,117,114,162,170,137,85,94,131,93,82,79,111,113,114,114,115,115,114,115,115,116,116,117,117,117,117,116,117,118,115,133,144,109,83,112,143,118,94,91,111,113,114,114,114,114,114,115,115,115,115,116,117,117,117,117,117,117,116,118,120,101,98,113,136,155,120,105,111,112,113,114,114,114,114,114,115,115,115,116,117,117,117,117,117,117,116,116,117,116,117,115,119,169,149,131,111,112,113,115,114,113,114,113,114,115,115,115,116,116,116,116,117,117,116,117,116,116,118,118,112,165,171,151,112,111,113,114,113,112,114,113,114,115,114,114,115,115,115,115,116,117,116,116,117,116,118,118,109,154,182,163
22,129,132,135,137,139,140,143,145,146,146,147,149,149,149,147,149,151,149,149,148,147,148,147,146,145,144,144,143,132,135,138,139,141,143,145,146,148,146,151,151,151,150,156,145,137,152,150,150,150,149,150,149,147,145,145,144,134,137,139,141,143,145,146,148,150,160,131,147,155,149,174,140,98,157,151,151,153,153,151,150,149,148,147,146,134,138,141,144,146,147,148,150,154,177,102,134,161,152,177,137,103,158,153,155,137,140,154,150,150,150,149,150,136,140,143,146,148,150,151,151,157,172,106,128,163,155,169,129,109,161,154,160,119,109,161,151,153,151,151,151,138,141,145,147,149,151,152,153,155,174,118,118,166,157,164,132,115,163,158,167,114,112,163,154,155,153,153,152,139,143,146,149,151,152,154,157,155,178,136,114,165,159,169,139,118,164,163,169,109,126,164,156,156,154,155,155,142,145,148,151,153,154,156,159,156,179,153,111,161,163,163,135,116,165,172,168,103,143,163,157,158,156,156,156,144,147,151,153,154,156,157,160,158,179,156,102,151,166,161,131,117,168,178,162,102,155,163,160,159,159,158,157,144,149,151,153,155,158,159,162,158,182,177,109,136,169,172,128,118,175,178,141,102,165,163,162,162,161,159,158,145,149,152,155,157,159,161,164,160,174,177,114,131,174,172,119,127,185,184,117,114,172,162,163,163,162,161,160,147,151,154,157,158,160,163,164,179,169,159,131,127,153,168,114,145,191,172,100,141,173,165,165,164,163,163,161,148,151,154,157,160,162,163,169,199,162,172,184,166,125,125,166,168,175,146,96,162,170,168,166,165,165,164,164,149,152,156,159,162,163,164,172,192,154,119,189,185,143,88,137,150,155,118,107,174,168,169,168,167,167,166,165,150,155,158,161,164,166,165,177,180,171,101,107,177,167,124,83,108,121,90,127,177,169,170,169,168,168,167,166,153,157,159,162,165,168,165,188,185,153,118,70,118,186,159,109,82,88,79,151,177,170,170,169,168,168,168,167,154,158,161,163,166,169,167,193,174,137,112,114,111,173,187,142,107,85,79,161,177,172,171,170,170,168,168,168,154,159,162,164,167,169,168,197,184,145,130,139,142,196,183,152,129,85,80,172,176,174,173,172,171,169,169,169,155,160,163,166,169,171,171,199,179,142,133,152,178,207,171,142,120,76,87,179,175,175,175,173,173,172,171,170,156,161,165,167,170,173,173,199,183,156,150,151,195,196,165,126,109,73,112,186,175,177,175,175,175,173,172,170,157,162,166,168,171,174,174,197,188,165,157,151,203,184,152,119,101,71,137,187,176,178,176,176,175,174,173,171,159,163,166,169,172,175,174,193,186,170,164,157,195,169,141,113,94,69,146,187,178,179,178,177,176,175,174,173,160,163,167,170,173,175,174,189,190,177,173,158,186,156,133,109,87,70,157,186,179,180,180,179,178,177,176,175,160,164,168,170,173,177,177,182,189,180,177,158,185,149,127,100,84,78,168,184,180,181,181,180,179,178,177,176,161,165,169,172,174,177,178,181,189,176,164,144,169,142,127,106,79,96,185,183,182,182,181,180,180,179,178,177,162,166,169,173,176,177,179,181,192,168,145,144,169,131,135,111,69,136,192,183,184,183,182,181,180,180,179,178,162,167,170,174,176,179,179,182,203,182,165,163,170,126,142,92,77,178,187,185,184,183,184,184,182,180,180,178,161,166,170,173,176,179,179,182,204,192,179,174,162,125,132,76,107,191,186,186,185,184,184,184,183,181,180,179
7,202,201,202,201,201,201,201,201,200,200,198,197,195,194,193,192,190,188,187,186,184,184,182,181,178,175,173,172,204,204,204,203,204,204,204,203,202,202,201,199,198,197,195,195,193,192,190,188,187,185,184,182,180,178,174,175,206,206,206,206,206,207,207,206,205,203,202,201,199,199,199,198,196,194,192,190,189,187,186,184,182,179,177,176,207,207,207,208,208,208,208,208,206,205,203,202,203,202,201,199,199,197,195,193,192,190,187,186,184,181,179,178,209,208,209,209,210,211,210,209,208,207,207,206,205,203,202,201,200,199,197,195,194,192,189,188,186,183,182,180,211,210,210,210,211,212,212,210,209,208,208,208,207,205,205,203,201,200,199,197,195,195,193,191,188,186,184,182,213,212,212,213,213,213,213,213,211,210,209,209,208,207,206,205,203,202,200,200,197,195,194,192,189,187,185,184,214,214,214,214,214,213,214,214,213,212,210,209,209,209,208,206,205,204,203,201,200,198,196,194,192,189,187,185,215,215,215,215,215,215,215,215,214,213,212,211,211,211,209,207,205,203,200,197,194,189,187,187,188,191,188,187,216,216,216,216,217,217,216,217,216,213,208,206,201,194,185,175,165,150,147,149,149,133,137,162,159,183,191,189,217,217,217,217,217,218,214,200,178,160,152,148,148,142,134,130,129,110,114,118,114,112,119,147,137,175,193,191,218,218,218,219,218,208,188,167,147,119,120,125,126,128,126,126,109,102,96,94,93,94,85,104,139,181,195,193,219,219,220,214,193,178,172,163,142,111,104,104,104,108,111,114,111,117,109,87,91,89,83,87,94,111,161,194,220,221,207,179,166,166,165,157,147,131,118,116,118,126,129,128,129,122,110,77,81,85,75,72,66,87,120,191,221,202,173,165,164,164,158,157,155,143,127,122,123,129,122,118,114,106,90,69,69,72,70,71,70,86,143,194,196,176,171,167,165,162,160,163,152,129,92,85,94,97,94,95,98,100,103,116,139,153,164,168,172,178,192,195,170,175,175,170,167,166,162,147,133,107,68,66,69,62,123,175,185,195,202,206,208,207,207,206,202,200,199,198,169,174,173,170,168,160,143,129,124,102,79,59,52,53,69,172,218,214,212,209,207,206,205,202,201,196,176,152,169,169,173,174,165,147,130,119,118,124,116,72,50,51,47,137,217,214,213,210,207,206,205,202,186,127,84,70,167,171,174,167,148,125,116,112,115,124,108,64,48,47,83,194,216,214,213,213,210,202,180,138,94,61,50,54,168,169,163,146,127,114,109,104,101,101,76,51,37,68,188,218,216,216,213,189,155,116,82,61,53,53,45,49,164,155,139,128,122,116,112,99,83,80,71,54,42,87,213,203,195,191,158,99,70,56,54,53,53,54,42,42,145,134,128,122,113,103,90,77,71,82,82,57,47,112,139,94,85,80,67,58,63,51,44,49,52,53,40,35,135,131,123,106,90,82,76,75,78,84,69,54,64,78,52,44,50,42,50,44,47,50,31,40,49,51,38,33,130,123,108,95,88,85,78,73,70,63,60,68,67,62,51,31,45,37,40,37,39,39,26,33,45,48,33,34,111,97,89,88,86,81,72,65,64,66,66,61,53,49,46,29,34,35,31,33,35,30,22,29,43,44,28,34,73,64,69,73,74,74,78,80,64,63,56,50,42,45,39,33,22,32,26,29,32,24,22,29,41,40,26,35,55,87,102,102,101,104,103,82,55,45,49,48,37,39,35,33,16,24,25,27,32,22,22,31,40,38,23,38
16,83,83,85,86,87,101,115,128,139,149,158,166,169,171,174,180,186,191,197,201,205,209,211,215,218,220,223,226,82,82,85,85,87,102,116,128,139,148,160,166,168,170,173,178,184,192,197,202,205,209,212,216,219,220,224,227,81,81,83,84,86,101,115,128,137,148,158,165,168,167,173,177,181,189,195,200,203,208,210,215,219,221,224,226,80,80,85,84,86,102,114,128,139,151,159,165,167,168,167,180,187,188,193,199,203,207,209,214,219,220,224,226,80,80,83,83,88,102,115,127,138,145,154,157,187,193,155,137,165,195,201,197,201,207,212,215,219,221,224,228,80,79,81,81,87,101,114,128,133,159,170,190,216,189,158,128,101,116,166,204,209,208,211,214,220,222,225,226,78,79,81,79,85,98,116,116,157,228,211,213,197,161,139,135,111,85,74,117,178,204,216,220,219,220,224,225,79,80,80,80,83,100,110,121,222,221,195,183,173,150,129,110,108,99,81,73,81,111,147,183,216,227,223,225,76,78,80,78,84,96,109,216,223,178,168,160,146,133,109,96,100,107,88,86,80,74,74,86,125,188,226,232,75,77,80,76,84,79,164,228,175,161,149,132,116,102,93,94,85,115,99,95,87,80,74,72,70,86,141,208,69,68,70,68,71,142,183,169,153,143,121,104,93,83,90,75,74,111,109,119,92,84,74,71,74,74,68,96,128,122,125,116,154,209,159,145,137,113,94,87,73,78,84,47,78,113,119,122,98,90,74,71,69,73,76,68,118,123,122,120,231,209,164,128,101,91,82,67,63,78,57,30,95,115,120,124,105,95,78,76,69,70,73,73,113,119,98,161,236,191,143,102,70,67,58,51,64,57,18,28,100,112,118,137,123,109,87,80,67,67,71,69,125,119,129,223,202,165,109,76,55,62,43,29,23,12,2,12,95,106,126,156,146,121,104,71,65,69,68,64,127,108,188,200,158,122,81,58,50,53,21,1,0,0,0,1,80,108,134,169,132,127,113,65,63,65,64,62,115,146,214,165,113,79,62,54,55,53,31,0,0,0,0,0,49,99,160,156,103,129,112,60,63,59,63,62,115,210,193,130,80,50,50,57,62,63,65,41,0,3,10,12,6,126,184,124,92,117,90,59,63,60,62,57,167,195,137,86,62,86,65,64,68,71,69,61,36,39,41,22,56,191,155,100,86,87,64,59,59,60,56,54,203,134,88,47,94,119,84,96,84,80,73,62,56,55,50,30,158,181,128,86,71,61,54,60,58,55,58,63,148,91,49,76,115,91,91,91,87,80,73,63,54,52,28,88,205,158,106,69,57,51,52,55,50,57,65,65,95,57,78,121,122,115,113,92,77,69,75,57,56,72,79,168,207,162,81,55,51,54,57,54,56,63,61,61,101,102,120,122,125,125,123,122,113,106,114,108,112,124,117,207,211,168,76,35,45,61,59,57,59,60,62,63,126,123,121,121,123,124,123,125,124,127,125,126,126,125,119,210,217,174,92,45,100,79,72,66,64,67,66,66,121,119,120,122,123,123,123,123,122,122,124,124,125,127,114,178,198,158,81,104,159,92,84,84,82,79,70,67,121,121,119,121,124,122,121,122,123,125,124,124,126,129,119,136,166,117,77,114,169,144,99,90,96,97,85,71,122,122,120,121,123,123,121,121,123,123,121,122,126,125,124,124,131,99,96,116,144,187,141,123,117,116,103,89,121,121,122,122,123,123,122,123,123,123,124,124,127,125,126,126,126,125,126,121,122,202,172,150,139,128,116,101
4,165,166,167,169,171,172,173,174,175,176,178,179,179,178,178,177,177,177,176,176,175,174,174,174,175,174,173,172,164,166,168,170,171,172,173,175,176,176,178,178,179,178,178,177,178,178,178,177,176,176,175,175,175,174,174,172,166,167,169,171,172,174,175,175,176,177,179,179,180,179,177,179,178,179,178,178,178,178,177,176,175,175,174,174,167,169,170,171,173,175,176,176,178,179,180,181,192,181,165,162,186,177,164,171,179,179,178,177,175,176,175,175,168,170,171,172,174,176,177,178,183,184,175,187,211,180,164,143,196,174,150,134,175,179,179,179,176,176,176,175,169,172,172,173,175,179,178,181,213,210,184,161,209,187,159,158,207,177,149,113,166,159,157,178,177,177,178,177,168,172,173,173,176,178,177,195,229,227,194,141,188,194,152,171,211,177,143,146,172,140,113,152,179,178,179,178,170,173,175,175,177,178,179,212,219,222,181,133,181,195,161,172,197,188,192,177,136,123,98,115,178,180,180,179,172,173,176,179,179,178,186,219,200,212,169,119,165,187,192,191,204,223,222,185,130,99,91,104,178,182,180,180,172,175,176,178,180,179,197,218,189,198,171,108,145,173,181,197,209,214,202,190,151,103,82,108,180,182,181,180,173,175,178,179,180,183,216,212,183,180,176,104,128,164,128,157,185,189,187,197,164,118,82,119,183,182,182,181,174,175,178,180,179,198,222,194,169,156,136,94,126,163,103,137,170,152,187,204,176,134,92,138,185,182,182,182,174,176,179,180,179,214,216,180,153,148,129,109,126,145,104,139,173,117,188,218,192,149,102,156,186,184,183,183,175,178,180,180,184,228,214,176,147,134,120,114,120,121,117,124,149,126,183,227,203,159,109,138,187,186,184,183,177,179,181,180,192,236,213,176,144,126,112,115,123,125,151,157,177,194,196,211,196,157,121,109,181,187,186,185,178,181,182,180,201,239,212,174,140,131,118,118,119,134,173,187,208,207,205,185,173,159,131,107,175,188,186,185,178,180,182,180,212,239,212,169,146,146,130,117,118,156,198,210,211,203,193,168,143,150,125,116,180,187,186,186,177,179,181,180,220,239,209,175,169,164,138,134,168,209,222,213,210,198,176,151,129,125,108,140,187,187,187,186,176,178,180,181,225,237,214,194,193,173,147,182,216,230,231,213,202,185,163,141,121,108,108,169,188,188,187,186,176,179,181,183,229,237,224,208,199,183,156,204,227,233,233,205,184,170,153,136,114,98,137,188,189,188,186,187,177,180,182,184,229,240,231,212,195,187,166,211,231,232,222,194,168,156,144,128,106,107,174,190,189,188,187,187,177,180,183,182,222,242,231,214,195,185,180,213,228,217,202,180,157,147,136,115,99,141,189,190,190,189,189,188,178,181,183,181,213,236,223,211,199,186,185,203,213,200,182,163,151,146,128,104,111,178,191,191,190,189,188,187,179,180,183,182,213,227,211,207,205,192,186,194,203,190,173,153,145,140,118,101,152,193,191,190,190,189,187,187,178,180,183,181,211,219,204,205,204,187,175,189,202,188,165,141,134,129,110,130,186,193,192,191,189,188,188,188,172,175,178,176,202,221,206,205,197,185,170,183,202,182,149,126,124,116,112,166,184,184,184,184,181,181,181,180,130,130,132,129,177,228,216,211,197,187,171,174,197,170,137,120,116,106,105,122,123,122,122,122,121,122,123,124,102,101,102,97,157,237,227,217,203,193,175,166,192,168,134,117,108,99,94,95,92,92,92,92,92,91,100,151
10,86,96,106,122,143,152,160,164,166,169,170,171,172,172,172,174,175,174,173,172,171,169,169,166,164,163,160,158,87,98,108,125,145,154,161,165,167,169,170,173,174,175,175,175,175,174,174,173,171,173,169,167,167,165,162,159,89,99,109,126,146,156,163,166,168,171,172,174,175,176,178,178,177,177,175,175,175,163,168,170,167,165,164,161,90,100,111,127,147,157,164,167,171,173,174,176,177,178,179,180,180,180,179,176,183,130,131,177,167,167,165,163,93,101,111,130,149,159,165,170,172,174,177,179,180,180,181,181,181,182,181,179,187,133,114,179,171,170,167,165,94,102,113,132,151,160,167,172,173,175,179,181,181,182,185,185,184,184,183,182,188,131,110,179,173,172,171,168,95,104,114,133,153,161,169,174,175,177,181,183,184,185,187,188,187,186,186,185,193,136,111,183,177,176,173,171,96,105,116,135,154,162,170,174,175,178,182,185,186,187,188,188,188,188,187,189,175,135,112,185,179,178,176,174,97,107,117,137,155,164,170,175,178,180,185,187,188,189,190,190,191,192,193,197,117,110,110,186,182,180,179,176,98,107,117,139,156,165,172,177,178,182,187,188,188,192,192,192,193,188,178,174,110,84,115,190,182,182,179,177,99,107,118,139,156,166,173,178,180,184,187,189,190,193,195,198,200,187,159,110,99,71,122,196,184,184,181,180,100,108,119,140,156,167,174,179,182,185,188,191,193,194,192,172,185,182,137,83,77,84,103,194,186,186,183,180,102,110,119,142,157,168,175,180,182,186,190,193,196,202,186,142,114,93,75,80,100,86,81,189,189,187,185,181,104,111,121,143,158,169,176,181,183,187,191,195,185,178,198,170,111,48,51,75,154,107,78,183,192,188,186,183,104,112,122,144,158,170,177,181,184,187,191,198,180,141,151,185,134,68,59,75,167,137,80,177,195,188,187,185,103,113,122,144,158,170,177,182,185,189,193,198,194,178,133,167,142,88,51,91,168,147,78,160,200,189,188,186,104,113,122,145,159,170,178,184,185,190,194,197,164,174,130,127,144,96,59,134,169,143,75,143,204,189,190,188,105,113,125,146,161,171,178,185,186,191,193,203,170,132,123,97,153,142,97,166,157,118,74,151,203,190,190,187,104,113,126,147,160,171,178,184,187,191,195,200,181,141,118,116,146,157,106,164,146,100,71,170,202,192,191,188,105,114,126,147,160,171,179,185,187,192,195,200,204,169,128,114,116,149,142,161,135,96,67,180,202,193,193,190,105,114,126,149,161,171,179,185,187,192,195,197,205,184,153,128,125,190,189,153,125,91,73,192,201,195,193,190,105,114,127,149,161,171,180,185,188,193,197,198,189,180,163,147,138,184,179,141,116,82,84,204,199,197,194,193,105,114,127,149,160,171,180,186,189,193,196,201,185,179,169,157,141,175,170,130,105,66,104,212,198,198,196,194,104,111,126,148,160,171,180,186,188,192,196,200,197,176,171,155,135,154,151,117,95,55,146,211,197,197,195,192,103,111,124,146,158,169,179,184,186,191,194,197,201,187,166,148,131,134,142,118,87,72,190,203,198,195,193,190,102,109,123,145,157,169,178,184,186,191,194,197,201,201,173,149,145,136,144,126,77,105,210,198,196,194,192,190,102,108,123,144,155,169,177,183,186,190,193,197,201,198,183,166,161,144,142,117,72,134,211,197,196,193,191,190,100,106,122,143,154,167,176,181,184,188,192,195,198,190,194,177,163,142,124,107,68,141,209,195,195,193,190,189
4,81,88,104,116,122,128,132,136,139,143,144,145,149,151,155,158,158,160,162,162,163,165,165,167,167,166,167,168,82,90,107,118,124,130,133,137,141,143,145,148,149,152,154,157,161,163,162,166,166,166,166,168,169,168,169,169,83,92,109,118,124,130,134,139,142,144,143,145,150,155,162,155,143,154,162,152,163,171,168,169,171,171,171,172,85,92,111,120,125,130,135,140,144,143,162,164,144,148,191,166,112,88,144,118,96,166,173,170,172,172,172,172,85,95,112,120,127,132,136,139,149,150,148,178,175,118,142,156,104,65,97,119,70,128,181,170,173,174,173,173,85,98,115,121,128,132,138,137,176,174,142,124,137,110,93,134,96,60,114,125,67,113,184,171,174,175,175,175,86,100,116,122,129,134,135,152,190,183,161,128,81,80,89,163,103,70,149,109,50,124,185,172,176,177,177,178,87,102,117,123,130,135,132,172,169,146,154,105,72,64,84,149,113,145,152,111,59,142,183,174,177,178,179,179,87,104,118,123,130,137,133,179,148,131,150,82,62,72,55,102,141,161,135,136,103,132,185,176,178,179,180,181,90,105,118,124,131,137,138,191,162,148,137,92,50,104,129,140,144,131,126,151,132,108,145,188,180,181,181,181,91,109,120,126,132,133,148,193,150,126,117,94,34,109,145,125,125,89,121,165,152,142,100,151,188,180,182,183,93,111,121,126,133,131,158,186,139,114,95,68,40,43,77,86,74,71,119,151,165,153,121,91,166,186,183,184,95,112,121,127,134,130,176,194,151,126,110,85,59,46,52,55,97,168,164,160,156,139,133,93,112,191,182,185,96,112,121,128,135,131,192,190,151,141,115,86,70,68,101,148,181,188,171,159,140,111,113,91,113,192,184,187,96,113,122,128,134,135,202,191,170,149,114,97,82,93,160,186,190,189,172,148,128,99,92,82,155,190,186,187,97,114,122,128,133,139,211,195,174,143,114,110,89,131,180,181,190,185,163,137,115,95,77,105,190,185,187,188,100,115,123,130,134,138,206,196,169,140,125,125,108,153,177,177,184,176,150,126,107,90,71,158,194,186,188,189,102,116,123,130,136,140,204,193,165,151,150,135,132,163,173,181,172,157,137,115,102,78,105,192,186,188,188,190,102,117,123,130,136,139,192,192,177,168,159,139,142,166,172,172,155,140,124,106,92,72,163,193,187,188,190,191,104,116,122,131,138,136,178,198,189,176,157,136,124,150,158,153,140,126,113,100,74,113,194,187,189,190,192,192,106,117,122,131,139,138,164,198,179,170,154,131,115,136,145,141,126,113,103,88,78,175,191,190,192,191,192,193,108,118,123,131,139,141,154,193,169,154,143,122,122,134,146,141,123,107,98,71,137,195,187,191,192,193,193,193,109,117,124,133,139,142,149,182,156,147,136,125,142,129,130,134,114,99,79,89,188,190,190,191,193,194,193,194,110,118,126,133,139,145,147,185,159,154,143,147,152,130,116,123,107,92,69,144,196,187,189,191,194,194,195,195,110,118,127,134,140,142,178,179,177,158,150,149,139,125,109,111,101,88,72,173,192,188,190,193,194,194,195,196,111,118,126,135,134,161,194,174,151,158,157,146,128,119,103,99,92,84,67,172,194,188,192,194,195,195,195,196,113,118,127,133,140,194,180,187,161,108,144,138,122,114,90,89,88,79,69,174,193,191,193,194,195,196,196,197,113,119,130,130,166,194,177,180,194,144,89,116,118,107,82,86,85,76,64,170,193,192,194,195,196,196,196,197
5,133,134,135,138,140,140,140,140,141,137,152,107,115,143,137,137,137,135,136,137,133,133,132,130,134,72,28,33,135,136,137,140,141,140,142,141,142,138,165,88,86,147,138,139,138,140,131,123,137,133,133,140,107,28,39,53,136,138,139,140,142,143,143,144,146,144,164,80,103,149,139,140,137,149,109,74,143,134,135,134,59,24,42,60,137,140,141,142,143,144,146,144,130,156,149,71,127,148,141,141,141,132,73,85,144,134,141,112,35,32,41,53,138,140,143,144,145,146,149,158,73,150,135,70,141,147,143,145,127,96,62,131,142,136,144,88,30,43,55,63,139,141,144,145,147,150,147,165,77,127,132,75,149,146,148,133,103,63,107,147,140,139,144,99,40,52,55,60,141,143,145,146,148,150,148,171,102,104,116,83,154,150,131,107,78,83,151,143,142,139,145,117,49,56,53,47,142,144,146,148,151,151,151,162,112,92,90,99,160,129,93,84,66,134,150,145,143,142,143,133,56,44,38,40,144,146,148,149,151,153,151,165,126,82,70,117,151,91,75,60,115,153,145,146,145,143,143,149,81,21,27,43,145,147,150,150,152,154,152,170,146,87,79,107,120,77,63,88,158,148,148,147,146,146,144,151,104,30,31,28,147,148,150,152,155,155,154,166,144,87,81,86,92,78,61,120,157,150,148,147,148,146,145,149,128,97,96,63,148,150,151,154,156,155,156,158,141,88,68,67,71,70,69,149,157,144,149,152,150,149,147,149,136,72,127,127,150,152,153,155,156,157,157,158,148,107,74,66,58,55,99,156,112,87,97,144,156,150,148,149,131,87,139,102,150,152,154,156,157,159,158,157,156,124,76,60,59,53,81,88,75,92,94,101,127,148,150,152,149,121,81,87,151,153,154,156,158,159,159,157,164,142,97,64,58,60,57,66,80,74,100,120,110,122,129,126,135,150,98,119,152,154,156,157,158,159,161,160,171,160,128,80,58,59,67,58,52,59,92,91,109,119,114,83,84,136,138,131,152,155,157,158,161,161,162,161,171,170,142,89,61,55,63,51,88,140,151,124,114,96,111,111,96,68,137,139,153,155,157,159,161,162,162,162,175,179,144,92,64,56,44,94,176,157,161,158,122,120,127,107,84,97,145,91,153,156,158,161,162,163,164,162,179,183,148,98,68,51,36,73,127,167,151,106,105,124,99,77,131,154,154,116,154,156,158,160,163,164,164,164,179,186,150,103,71,45,45,54,59,124,93,99,116,90,58,130,159,149,150,146,155,156,159,162,163,164,164,167,181,182,147,103,73,45,46,59,65,53,74,104,88,66,122,158,151,152,151,149,155,157,159,162,163,165,163,168,185,179,143,103,73,46,48,63,67,70,78,84,73,139,163,153,154,153,151,150,156,157,158,161,162,164,162,167,184,175,135,99,73,49,52,70,71,74,68,62,137,163,155,155,153,152,150,149,156,158,159,162,163,164,163,169,179,166,128,100,73,47,55,74,77,73,59,127,163,155,157,156,153,151,151,150,156,158,159,162,163,164,159,175,179,159,129,104,71,46,51,73,80,62,88,169,155,158,157,157,154,152,152,151,156,157,159,161,165,158,162,184,178,155,130,104,71,51,52,74,76,52,131,164,157,158,157,157,154,152,153,151,157,158,161,162,164,152,180,186,172,150,132,103,67,53,61,77,56,84,165,158,158,158,157,156,154,153,153,150,156,158,161,166,154,157,188,180,160,145,131,97,63,54,64,63,60,150,163,160,158,157,157,157,156,154,154,143
7,200,199,200,199,198,199,199,200,199,199,197,196,193,168,193,190,176,162,153,145,132,118,107,76,58,37,69,165,201,202,202,202,201,201,201,200,200,201,199,199,197,186,192,194,178,158,135,124,104,81,68,49,43,34,79,169,203,203,204,204,204,204,204,204,203,204,202,201,199,189,195,194,184,167,132,107,80,61,47,37,33,41,81,172,205,206,206,206,207,207,207,207,207,205,202,202,201,191,193,193,188,182,176,163,138,99,62,43,44,47,82,174,205,206,206,206,207,207,208,208,207,206,205,203,173,176,194,192,187,187,189,182,177,135,82,59,55,54,84,175,208,207,207,207,207,207,208,208,208,208,208,193,136,152,197,196,190,189,192,183,179,140,69,64,62,61,79,171,209,209,208,209,209,209,209,209,209,208,211,180,150,200,178,189,188,184,191,184,173,125,71,68,70,65,52,99,212,211,211,210,211,212,212,212,211,209,207,177,211,234,193,148,175,177,181,175,157,114,78,72,75,67,42,55,214,213,214,214,214,215,214,209,201,194,194,215,229,222,221,181,142,161,170,168,152,123,90,79,79,67,37,56,214,214,213,214,212,202,188,173,163,148,114,108,135,158,167,158,136,125,140,151,146,126,97,87,83,68,54,129,214,213,205,194,179,169,167,162,157,143,103,81,96,113,118,115,116,114,102,101,114,110,100,94,83,70,82,160,189,178,169,165,164,166,163,158,154,133,99,87,88,97,105,109,112,113,100,86,98,89,94,93,88,78,115,122,169,171,172,171,169,171,170,170,161,141,104,84,93,102,106,105,110,107,93,85,88,90,99,97,121,107,150,88,175,173,173,170,172,176,177,173,164,146,101,78,90,102,112,110,110,106,99,93,88,101,94,92,108,104,101,43,173,174,177,177,175,170,172,165,156,129,88,84,92,97,102,103,103,101,100,92,91,104,96,94,93,103,112,88,182,180,177,175,172,173,171,166,160,128,79,73,73,69,73,79,85,90,90,91,87,90,89,87,87,91,104,94,180,180,176,174,174,175,166,164,170,143,78,62,62,59,87,96,92,136,150,121,117,79,80,88,78,78,71,66,170,172,174,170,168,167,160,166,167,131,80,66,68,64,66,77,91,108,121,100,86,96,103,96,52,59,80,61,162,162,167,165,161,158,156,157,151,113,74,71,71,71,67,70,158,158,112,86,84,108,146,64,24,33,86,103,157,156,156,158,158,155,154,155,151,105,66,54,68,75,71,85,137,85,93,78,85,105,99,35,53,49,93,138,153,155,151,154,155,153,154,153,149,103,61,46,50,65,61,67,92,71,78,71,77,83,77,91,88,78,101,138,153,147,138,139,138,136,138,136,122,91,62,58,64,70,70,70,120,75,118,106,94,78,112,75,64,69,92,126,135,137,124,113,107,107,105,101,84,76,76,104,100,92,94,81,103,92,131,71,55,50,112,84,73,75,72,103,118,121,112,101,93,95,98,95,119,164,172,169,139,114,101,95,68,63,116,57,68,46,70,103,68,80,64,72,109,106,121,131,139,144,178,150,167,172,173,153,167,181,182,106,74,70,87,80,68,55,109,78,65,83,61,67,155,113,196,222,205,176,196,120,175,150,173,179,175,176,185,140,70,107,82,72,58,107,176,108,71,91,69,62,156,123,171,204,208,190,187,109,157,123,164,178,175,173,172,166,118,153,149,94,44,130,169,122,113,150,97,65,132,136,180,210,211,213,181,140,102,110,161,170,160,141,154,157,167,153,163,117,52,121,148,121,143,171,130,76
12,139,140,142,145,147,146,148,151,152,152,153,152,151,151,150,149,148,149,148,146,146,146,145,145,143,141,141,142,141,142,145,147,148,149,151,152,154,153,153,153,153,153,153,152,151,149,150,149,148,148,146,146,144,143,142,142,143,144,146,147,150,152,153,154,155,154,156,156,154,155,154,154,154,152,151,151,149,150,148,148,147,147,145,144,145,146,147,149,153,153,154,156,157,156,156,157,159,158,156,156,157,159,155,152,151,151,151,150,148,148,147,146,145,147,149,151,154,154,156,158,160,160,158,159,154,159,162,156,139,128,153,159,158,155,152,154,150,149,149,148,146,149,152,153,155,157,158,160,160,160,163,161,126,95,149,164,119,48,77,155,127,147,161,152,153,153,152,150,149,152,154,156,158,161,162,163,164,160,173,177,128,65,68,161,100,69,26,103,86,43,115,161,152,154,152,152,152,154,155,160,161,162,165,163,162,160,174,166,111,63,38,160,112,83,33,82,92,35,28,145,157,153,154,154,154,154,158,162,162,162,162,165,175,125,132,165,99,50,32,176,165,102,59,78,78,45,19,129,164,155,156,155,155,156,159,161,163,164,164,195,181,133,88,154,149,55,19,202,192,91,65,129,97,52,16,139,165,156,157,157,157,159,162,163,165,165,178,217,182,149,66,148,194,67,34,131,125,37,101,166,95,37,19,151,165,161,159,158,158,161,162,163,168,163,187,201,182,143,65,87,144,67,46,61,109,86,121,119,45,2,47,170,162,163,162,160,160,163,164,165,167,170,210,187,146,100,62,16,33,34,59,81,141,177,132,83,51,5,122,174,163,165,163,162,161,163,167,170,164,199,206,178,112,63,50,15,0,78,174,168,157,139,109,94,93,24,137,173,165,165,164,163,162,164,168,171,165,204,212,160,104,104,61,0,64,192,190,176,147,132,95,85,77,25,142,177,167,167,165,164,163,165,169,172,168,210,214,150,100,133,75,66,175,205,192,175,146,122,102,75,53,22,159,174,170,169,167,166,164,166,169,171,173,218,211,170,154,120,127,160,200,199,187,166,142,112,96,65,39,12,153,177,171,170,168,168,165,168,171,172,179,219,211,186,179,135,127,169,200,192,174,160,130,98,82,57,32,5,144,182,172,173,170,170,168,169,172,174,178,214,211,194,183,142,140,178,186,177,157,146,114,88,71,45,22,4,160,180,174,175,172,171,168,171,172,176,177,208,208,200,181,147,129,169,170,159,151,134,99,73,52,37,0,75,186,173,176,174,173,172,169,170,174,176,173,203,206,198,179,136,124,146,152,150,137,117,81,58,46,13,52,181,179,176,177,176,175,173,170,172,173,181,185,194,201,196,153,110,125,142,148,152,132,103,81,61,27,53,180,181,177,177,178,176,176,175,169,170,180,154,134,194,184,165,141,136,145,143,159,156,126,87,79,48,16,159,189,179,180,178,178,177,177,175,170,171,187,85,0,162,200,174,168,156,134,125,156,141,97,70,65,11,109,195,181,182,182,180,180,179,177,176,170,180,150,55,32,48,161,178,164,144,120,105,134,106,71,61,21,65,196,184,185,183,183,182,181,180,179,178,169,187,96,36,61,3,30,69,61,56,51,56,81,67,52,30,22,178,191,184,184,184,185,184,183,181,180,179,174,165,58,41,54,24,0,11,5,0,0,0,0,0,4,0,16,169,190,185,185,185,184,183,182,180,181,180,181,113,41,45,50,38,0,0,8,2,0,0,0,0,0,0,0,109,201,182,186,184,183,183,181,180,181,179
24,174,176,177,179,179,180,180,180,181,180,181,181,181,182,181,181,182,181,181,180,179,179,177,180,106,27,16,20,177,179,180,181,181,182,183,183,183,183,184,184,185,185,183,183,184,184,184,183,181,180,182,164,83,35,29,23,180,181,183,184,184,185,186,186,186,186,187,187,186,186,187,186,187,187,187,186,185,183,185,166,66,34,41,51,182,183,186,186,187,188,188,188,188,188,189,189,189,189,189,189,189,188,188,188,188,186,186,180,84,37,58,53,183,186,186,187,188,189,191,191,192,191,191,192,191,191,191,193,192,192,192,191,190,188,185,193,133,38,58,36,185,187,188,190,190,192,193,193,193,193,194,194,194,194,194,194,194,194,194,193,192,192,190,190,176,65,45,30,187,189,190,192,192,194,194,195,194,194,195,195,196,195,196,196,196,196,195,195,194,194,193,190,201,106,36,27,189,191,193,193,192,189,198,196,195,196,196,197,197,198,198,198,199,199,199,198,196,194,195,192,200,155,30,26,191,192,195,195,198,147,182,201,197,199,199,199,199,200,200,199,201,200,200,201,199,197,197,196,197,184,116,115,192,193,195,196,198,138,141,209,197,200,200,201,201,200,201,201,201,202,201,200,200,200,198,198,198,187,137,186,192,194,197,198,202,159,104,197,202,200,201,200,200,202,201,202,202,201,201,205,202,200,201,199,201,184,157,202,194,195,198,200,200,181,111,154,211,199,201,201,202,204,207,204,204,209,206,182,197,204,200,201,200,198,182,151,195,197,200,200,201,199,153,107,198,204,202,202,204,197,186,208,197,175,215,161,133,200,203,201,201,199,181,125,195,198,199,200,201,204,183,123,138,209,205,200,213,199,150,191,195,118,164,192,103,178,211,201,199,192,156,127,196,200,200,201,202,204,196,171,132,164,210,199,225,220,186,150,187,138,145,202,116,178,212,199,209,186,125,99,196,199,200,200,201,203,202,185,155,144,187,206,202,226,213,139,162,169,137,193,136,177,213,201,215,145,104,163,195,198,199,199,201,202,202,198,178,187,174,185,179,199,222,159,126,174,136,200,137,155,187,201,193,101,166,213,195,198,201,201,201,201,204,201,213,202,179,160,150,148,206,180,108,141,150,197,156,100,162,195,143,124,208,197,196,198,201,201,201,202,205,204,214,214,165,148,126,113,162,190,105,130,165,176,184,109,177,164,117,187,205,199,195,198,200,200,201,202,204,205,205,219,217,172,125,131,140,178,131,125,190,128,151,171,174,125,127,209,201,201,202,205,207,207,207,207,208,210,209,218,226,217,172,124,136,165,157,109,190,133,194,189,160,106,166,210,201,201,157,161,163,168,172,176,181,185,185,200,234,225,222,159,125,164,193,162,186,204,206,159,138,126,214,213,207,204,95,95,97,99,98,99,101,102,99,118,229,217,223,195,147,135,195,236,235,227,183,149,123,113,145,145,166,184,104,104,105,105,104,104,104,104,106,94,185,219,223,215,170,143,153,221,226,200,166,137,108,118,144,175,198,211,104,102,103,102,105,105,105,106,107,101,123,220,229,217,180,150,143,196,213,180,160,114,120,216,217,209,211,221,103,101,102,101,104,104,104,106,106,109,95,186,216,187,158,138,143,170,186,163,133,101,157,186,192,208,201,207,102,104,103,102,102,103,104,106,106,108,94,159,213,168,163,152,149,161,171,150,107,116,201,169,160,183,194,194,100,101,102,103,104,103,104,105,105,106,97,142,215,191,187,172,160,163,169,140,93,129,197,184,132,151,179,191
7,184,183,184,184,184,183,183,183,182,181,180,179,178,177,175,175,174,173,171,168,167,166,163,162,160,158,155,154,185,185,185,185,185,185,185,185,184,183,183,182,181,180,179,178,176,176,174,171,170,169,168,165,163,161,157,156,186,186,185,186,188,187,187,187,186,186,185,184,184,183,181,179,178,177,176,173,171,170,169,167,164,164,161,159,187,188,188,187,190,189,189,189,188,187,187,187,185,184,182,180,181,179,179,180,177,175,174,168,167,166,162,161,190,190,190,190,191,190,192,192,190,189,187,187,186,189,188,188,184,178,171,161,160,157,167,174,170,168,165,163,191,192,191,191,191,190,190,191,190,192,193,194,188,175,164,148,144,141,119,112,162,155,131,174,172,171,168,165,193,193,193,193,193,195,197,198,195,185,172,155,140,129,104,116,118,106,104,104,130,116,126,185,175,172,169,166,193,194,194,195,196,187,172,156,148,137,126,118,120,112,95,96,90,77,84,67,57,93,125,125,161,175,171,169,194,194,197,188,157,129,119,120,124,129,127,120,109,85,88,82,80,84,85,81,80,70,59,83,101,174,173,170,196,200,186,157,145,116,103,115,104,98,94,92,96,104,119,110,75,89,97,75,71,55,49,72,75,169,177,172,197,177,158,159,146,112,92,82,79,90,106,123,131,126,114,97,58,63,63,40,41,43,52,75,132,180,175,173,166,151,156,155,143,134,123,126,127,134,138,123,117,105,94,64,41,49,77,106,135,155,174,185,186,179,177,175,149,152,155,150,147,143,126,115,105,107,103,85,79,76,71,85,121,164,192,198,197,192,186,183,181,179,177,175,152,158,153,152,153,133,92,59,70,68,52,40,29,72,184,202,203,200,192,190,188,187,185,185,184,180,177,175,160,158,155,150,128,110,61,39,47,31,23,22,23,15,78,201,193,194,194,193,192,189,186,186,185,181,177,174,157,159,150,124,116,101,70,60,37,25,25,23,25,10,67,195,196,193,193,192,190,186,185,184,182,179,180,184,159,156,138,122,113,109,115,113,58,27,30,32,16,75,195,196,196,193,191,190,189,185,183,180,180,186,167,123,161,149,124,110,105,109,121,100,42,26,22,6,53,200,200,197,197,194,193,192,189,186,188,191,180,145,63,26,150,121,95,95,93,93,94,58,30,18,16,16,43,205,195,198,193,192,191,190,196,192,165,121,70,33,27,21,120,103,100,104,96,82,71,55,46,26,29,10,97,205,195,198,205,203,201,199,141,79,48,28,23,25,27,17,108,111,109,105,82,54,57,76,64,30,17,99,213,206,206,192,146,131,130,91,42,35,23,24,25,25,26,13,111,101,84,62,48,52,70,80,46,22,58,137,139,125,110,64,26,27,18,25,21,30,28,5,16,24,26,13,91,69,60,60,61,61,56,37,30,69,81,64,50,46,46,21,7,28,12,24,15,12,20,0,5,18,25,7,79,75,77,71,57,45,38,44,83,102,77,56,46,38,28,29,0,14,11,8,10,11,10,0,0,14,21,0,66,63,59,52,42,45,70,92,91,71,51,36,30,22,20,16,6,0,12,0,5,6,3,0,0,13,18,0,40,48,55,60,72,86,91,89,76,34,24,28,24,12,16,11,9,0,1,0,0,6,0,0,3,10,16,0,85,91,94,100,92,87,86,78,42,25,9,16,21,8,9,3,6,0,0,0,0,7,0,0,4,8,12,0,91,93,90,94,88,86,79,53,14,14,11,5,18,0,3,0,1,0,0,0,0,6,0,0,3,10,11,0
5,149,149,149,149,150,150,150,150,149,148,148,149,148,146,145,145,143,141,140,139,138,137,137,135,133,134,132,132,154,153,153,153,154,153,152,153,154,151,150,150,150,149,149,148,146,145,143,141,142,141,138,136,135,135,134,134,157,157,158,157,156,157,157,157,157,157,155,154,153,153,149,151,148,144,147,144,142,143,142,139,138,137,134,133,160,160,160,160,158,162,162,161,159,160,159,157,155,151,153,171,111,121,156,147,146,144,143,141,140,138,137,134,163,163,164,163,166,152,160,166,162,162,161,158,162,155,139,102,76,141,154,149,149,149,146,144,143,141,140,137,166,167,170,165,188,122,126,177,166,165,162,173,165,110,86,111,148,158,154,153,151,151,149,147,146,144,142,140,171,171,172,170,184,99,125,180,169,163,171,167,104,94,163,173,167,162,158,158,160,155,152,150,149,146,144,143,174,174,174,175,169,95,150,181,166,149,141,97,100,147,117,119,119,119,118,115,138,153,156,154,152,149,148,147,178,177,178,178,152,99,170,182,166,126,88,94,169,94,77,90,110,124,126,123,120,140,115,150,156,152,151,150,181,181,181,181,166,99,152,188,159,115,87,109,124,83,89,82,90,90,80,92,99,98,103,158,156,154,152,151,183,184,183,184,171,100,138,195,149,112,90,86,97,97,71,55,51,49,54,60,64,66,134,164,161,157,155,154,185,186,186,185,164,113,96,183,149,101,70,69,83,77,54,59,71,66,82,83,107,124,114,100,155,164,156,156,187,189,189,191,154,127,120,119,121,103,83,68,62,45,55,80,59,88,127,131,151,129,119,112,110,159,161,158,191,190,191,193,188,145,143,129,101,107,92,67,65,55,58,57,96,180,185,182,176,152,156,149,106,161,163,160,192,192,192,192,196,182,145,160,153,120,80,60,53,66,52,118,187,181,176,179,150,147,156,104,137,172,162,162,194,194,195,196,194,199,174,165,166,136,97,55,56,49,82,201,186,180,186,163,127,154,121,99,174,169,167,165,195,195,197,197,197,198,194,162,173,147,107,58,57,52,92,167,178,195,174,144,138,133,71,145,181,170,170,167,196,197,197,198,199,200,198,171,178,156,116,69,57,75,73,89,113,142,134,138,134,79,114,183,174,174,171,169,198,198,199,199,200,200,200,167,182,166,120,79,58,75,78,92,116,98,112,134,89,111,189,178,176,175,173,170,198,199,201,200,200,200,202,167,185,165,121,94,62,69,79,91,112,115,94,88,98,188,183,180,178,176,173,171,202,201,202,203,202,202,203,168,188,165,127,107,68,64,81,97,109,102,70,67,179,189,184,183,180,178,176,174,204,203,204,204,204,205,202,172,183,162,133,108,72,59,83,95,99,79,60,168,195,187,186,184,182,179,177,175,204,204,205,205,205,206,204,172,171,155,131,109,74,57,81,83,84,48,122,206,187,190,187,186,185,182,179,176,206,205,206,206,207,207,204,172,168,154,128,109,73,60,75,81,64,66,192,195,193,191,189,188,187,183,180,178,207,207,206,206,207,209,200,174,170,152,128,105,73,61,70,63,49,161,204,194,195,192,191,190,187,184,182,179,207,208,208,208,209,212,196,180,173,156,135,98,66,59,50,52,157,208,196,197,195,193,191,190,187,185,184,181,207,207,207,209,210,208,191,180,171,159,129,85,62,48,86,184,209,200,199,198,197,195,192,191,189,186,184,183,206,207,207,208,208,203,180,162,166,151,115,74,59,59,191,211,197,201,199,197,196,194,192,190,189,186,184,183
12,142,142,144,147,148,148,149,152,153,153,153,153,152,152,151,150,149,150,149,148,148,147,147,146,145,143,143,144,143,144,146,148,149,150,152,153,155,154,154,154,154,154,154,153,152,150,151,150,150,149,148,147,146,145,144,144,145,146,148,149,151,153,154,155,156,155,156,156,155,155,155,154,155,153,152,152,150,151,149,150,148,148,147,145,146,147,149,151,154,154,155,156,157,157,157,158,159,158,157,157,157,159,155,153,152,153,152,152,150,149,149,148,147,149,151,152,155,155,156,159,160,160,158,159,155,159,162,157,141,132,154,160,159,156,153,155,151,150,150,149,148,150,153,154,156,157,158,160,160,161,162,161,130,102,150,163,124,60,86,156,131,149,161,153,154,154,153,151,150,153,155,156,159,161,162,162,163,160,172,176,132,75,78,161,106,79,40,109,94,56,120,161,153,155,153,153,153,154,156,160,161,162,164,163,162,160,172,165,116,74,51,161,117,91,46,90,99,48,42,147,157,154,155,155,154,155,158,162,162,162,162,164,174,129,135,164,106,62,46,174,165,108,69,87,87,57,34,132,163,155,157,156,156,157,159,161,163,164,163,192,179,136,96,155,151,66,34,198,189,98,75,132,104,63,32,141,164,157,158,157,157,159,162,163,165,164,176,211,180,151,76,149,191,77,47,134,129,50,107,165,102,50,33,152,164,161,160,158,158,161,162,162,167,163,185,197,179,144,75,95,146,76,58,71,115,94,125,124,57,19,59,169,162,163,162,160,160,162,163,165,166,169,205,184,148,106,72,31,47,47,70,89,143,175,135,91,62,21,127,173,163,164,163,162,161,163,166,169,164,195,201,176,117,73,61,30,0,86,173,167,157,142,114,101,100,38,139,172,164,165,163,163,162,164,167,170,165,200,207,160,110,110,71,7,74,189,187,174,149,135,102,93,85,39,144,175,166,166,165,164,163,164,168,171,167,205,208,152,106,136,84,76,173,200,188,174,148,126,108,84,64,36,159,172,169,168,167,166,164,165,168,170,172,212,206,169,154,124,131,160,196,195,185,166,144,117,103,75,51,28,154,175,170,169,168,167,165,167,170,171,177,213,205,183,177,137,130,168,196,189,173,161,133,104,90,68,45,21,145,180,171,171,169,169,167,168,171,173,176,209,206,190,180,144,142,176,184,175,157,147,119,96,80,57,37,20,160,178,172,174,171,170,168,170,171,175,176,203,203,196,179,149,133,168,169,159,152,137,105,82,64,50,14,84,184,172,174,173,172,171,169,170,173,174,172,199,201,194,177,139,128,148,153,151,139,121,89,69,58,28,63,179,177,174,175,174,173,172,169,171,172,179,182,190,197,192,154,116,129,144,149,153,135,109,89,71,41,65,178,179,175,176,176,175,174,173,168,169,178,154,137,191,181,165,143,138,147,145,159,157,129,95,87,60,31,160,186,178,178,177,176,175,175,174,169,170,184,93,11,162,196,173,167,156,137,129,156,143,103,80,75,27,114,191,179,180,179,178,178,177,175,175,170,178,151,66,45,60,161,176,163,145,124,111,137,112,81,71,36,75,193,182,182,181,181,180,179,178,177,176,168,185,103,49,72,20,43,79,72,67,62,67,89,77,63,43,37,176,188,182,182,182,182,181,181,179,178,178,173,165,68,54,66,38,0,27,21,17,6,3,3,12,20,1,31,168,187,183,183,182,182,181,180,178,179,178,179,118,54,57,62,51,0,9,24,19,8,6,2,0,0,0,0,115,197,180,183,182,181,180,179,178,179,177
10,75,75,77,80,81,91,107,118,138,136,129,148,150,156,160,163,167,170,172,174,177,178,179,180,180,181,183,182,75,75,77,80,81,92,109,117,152,142,102,138,157,156,162,165,168,172,174,178,179,180,181,183,183,183,184,184,75,75,78,79,82,94,110,123,141,146,113,96,149,162,163,167,170,173,176,179,181,182,184,185,185,186,186,186,75,76,78,80,83,97,113,126,135,140,121,94,98,166,165,168,172,175,177,181,183,185,186,187,187,188,188,188,75,76,78,80,83,99,115,128,136,142,124,107,84,127,174,170,174,176,180,183,185,187,188,189,189,189,190,190,75,76,79,79,84,101,117,130,138,142,140,121,105,85,156,176,175,179,183,186,187,189,191,191,191,190,192,192,75,76,79,80,85,102,117,131,138,143,154,140,112,90,103,179,178,182,186,187,189,191,192,192,192,192,193,193,76,77,79,78,90,106,122,131,151,118,138,160,131,118,85,157,186,183,187,189,191,191,192,193,194,195,195,195,76,78,75,115,132,92,109,140,161,105,94,165,153,130,96,118,190,183,187,190,192,192,194,194,195,196,197,196,75,78,73,123,124,78,70,99,129,111,73,128,172,128,106,85,173,188,187,190,192,195,196,196,197,198,198,197,75,78,77,85,97,80,74,69,77,107,93,79,155,138,105,83,130,196,187,192,193,196,197,198,198,198,198,199,75,77,80,78,94,96,77,72,72,106,114,92,91,136,117,115,83,176,194,193,195,197,198,199,199,199,199,200,75,76,80,80,95,114,116,96,76,100,126,109,81,82,103,119,82,127,200,193,197,197,199,200,200,201,202,201,75,76,79,81,96,114,131,143,124,89,129,126,104,74,76,95,89,85,184,198,198,198,199,200,201,202,202,203,74,75,77,81,98,114,126,151,159,98,82,151,130,101,73,70,82,74,164,203,196,199,199,201,202,202,202,203,74,75,76,81,98,119,134,154,162,131,56,131,161,123,98,77,78,70,150,203,195,198,198,200,201,202,202,203,74,74,75,81,96,138,154,147,175,150,79,85,177,138,120,95,76,66,136,205,196,198,199,200,201,202,203,203,72,73,74,81,96,129,164,141,166,157,105,111,177,149,134,104,77,65,125,204,196,199,201,202,202,203,203,204,74,73,72,80,99,114,150,146,143,153,122,142,167,136,131,99,82,71,118,205,197,199,201,201,202,202,203,203,104,102,102,104,110,112,128,147,143,164,135,130,167,128,127,101,84,75,109,199,198,201,203,205,207,208,209,210,99,101,104,105,105,100,107,149,152,160,167,127,153,138,129,107,86,77,90,132,135,138,141,144,147,151,155,158,102,102,103,106,108,110,104,153,175,151,175,132,99,138,127,109,90,82,81,110,116,116,117,115,115,115,114,115,102,103,104,106,108,109,105,127,178,164,155,146,99,119,125,107,91,83,79,110,124,120,121,122,123,123,124,124,101,103,104,106,108,109,110,113,165,171,165,172,163,130,118,103,91,82,79,105,122,119,119,121,121,121,123,123,102,103,104,106,107,108,110,106,137,167,169,165,172,152,114,96,90,85,81,103,122,120,119,120,120,121,122,122,101,102,103,105,106,107,109,110,111,155,171,163,160,158,120,94,96,91,82,103,120,119,119,121,120,120,121,122,100,101,102,104,107,107,109,111,108,125,164,160,150,142,128,111,108,96,79,96,120,119,119,123,119,120,120,119,99,100,101,103,105,107,108,109,111,107,143,153,142,131,131,129,122,105,85,85,115,119,120,120,120,121,117,142
10,46,47,49,52,55,68,86,102,125,124,115,136,143,149,154,159,163,167,170,173,176,177,179,180,180,182,183,183,46,47,49,52,55,69,88,104,137,128,92,122,147,151,156,161,165,169,173,176,178,180,181,183,183,184,185,185,46,47,50,52,56,71,90,108,129,132,97,84,133,155,159,163,167,171,175,179,181,182,184,186,186,187,187,187,47,48,50,53,57,74,94,111,122,127,103,76,85,151,162,165,170,173,176,181,183,185,187,188,188,189,190,190,47,48,51,53,58,77,97,113,124,129,110,87,68,113,164,168,172,175,180,183,186,189,190,191,191,191,192,192,47,48,51,52,59,79,99,115,126,131,128,105,83,72,142,172,174,179,183,187,189,191,193,193,193,193,194,194,47,48,51,53,61,81,101,117,127,131,141,127,95,72,90,169,178,182,186,189,191,194,194,195,195,195,196,196,47,49,51,55,69,84,103,119,137,107,125,147,120,97,72,145,183,184,188,191,193,194,195,196,197,198,199,199,47,49,51,92,108,74,89,122,143,91,81,148,144,113,79,106,181,186,189,192,194,196,197,198,199,200,201,200,47,49,51,98,100,56,48,77,108,89,58,111,156,117,85,72,162,188,190,193,195,198,200,200,201,202,202,202,47,49,51,62,74,55,45,44,55,82,70,66,135,122,87,67,118,189,192,195,197,200,202,203,203,203,203,204,47,49,52,53,70,72,53,45,46,83,91,72,74,113,99,91,74,165,194,197,198,201,202,203,203,204,204,205,47,48,52,54,72,93,95,75,57,78,106,88,59,62,79,93,66,115,194,199,201,202,203,204,205,206,207,207,47,48,51,55,74,96,115,126,106,73,106,109,83,52,52,69,63,72,177,200,202,203,204,205,206,207,208,208,46,47,49,55,75,96,114,141,142,83,65,130,115,79,49,45,53,56,156,202,202,204,204,206,207,207,208,209,45,46,48,55,76,103,124,146,153,112,42,112,145,109,75,52,48,50,139,201,201,202,203,205,206,207,208,209,45,45,47,54,76,121,143,142,166,135,61,73,161,129,102,71,48,45,124,202,202,203,204,206,206,208,208,209,43,44,46,54,76,114,152,137,158,143,91,98,164,141,118,82,50,43,112,200,203,204,206,207,208,209,209,210,47,46,47,56,77,99,136,136,136,142,113,128,157,128,115,79,54,49,104,200,204,204,207,208,209,209,210,211,80,78,78,82,89,95,114,137,137,153,128,121,154,120,111,81,58,51,93,189,197,199,202,204,207,208,209,211,78,79,82,84,84,82,92,137,145,154,157,118,138,125,113,87,62,52,69,119,127,130,134,137,141,144,149,152,80,81,82,85,87,88,89,139,166,150,164,122,90,120,112,90,66,56,58,92,101,102,103,102,103,102,102,103,81,82,83,86,88,89,89,116,169,160,151,134,89,104,107,88,68,56,55,89,105,103,104,105,105,106,107,107,80,82,84,86,88,89,90,99,154,166,162,164,150,119,101,82,67,56,55,84,103,103,103,105,105,105,107,107,80,82,84,85,87,89,90,91,125,160,165,162,165,140,99,75,66,59,57,82,103,103,103,104,104,105,106,106,79,81,82,84,86,88,89,91,99,143,164,159,155,146,105,76,72,66,58,81,102,103,103,104,103,104,105,106,78,79,81,84,86,88,90,91,92,113,154,154,142,131,113,94,88,73,56,73,100,102,103,106,103,103,104,105,77,79,80,82,85,87,89,90,91,93,133,143,133,120,117,113,103,83,61,63,95,102,103,103,103,104,103,128
0,205,206,207,206,207,209,209,209,210,209,209,208,208,208,209,209,208,208,208,209,208,208,210,209,207,207,208,207,206,207,208,208,208,209,210,210,211,209,209,209,210,210,208,209,211,214,210,211,210,209,210,210,209,210,210,209,208,208,209,209,209,209,210,210,210,211,210,209,209,211,221,204,172,188,215,203,207,215,211,212,210,210,211,211,208,209,209,210,212,211,210,211,212,210,213,211,183,180,227,198,170,147,153,166,159,197,203,169,206,214,212,212,209,210,211,211,213,212,212,212,213,214,235,220,186,151,196,205,185,166,108,158,156,141,190,138,193,219,211,212,210,211,212,212,212,213,211,217,198,188,239,217,195,165,190,223,188,171,124,176,168,138,167,144,185,220,213,214,210,211,213,213,213,213,215,240,197,157,204,230,200,172,180,239,200,175,129,189,170,129,144,149,161,227,212,215,210,212,213,213,215,211,227,235,205,178,180,241,206,172,166,239,203,172,127,191,167,119,131,160,118,214,215,215,211,213,213,214,210,226,222,222,215,191,157,226,213,169,149,236,200,161,109,161,157,112,120,170,105,167,226,214,212,214,214,213,215,230,196,217,225,197,147,203,218,167,129,209,191,148,101,136,143,105,122,175,115,142,227,215,214,214,216,212,225,222,184,198,222,195,144,176,211,161,114,173,179,144,106,121,132,97,139,184,126,145,228,218,213,214,216,214,224,217,191,184,204,180,136,149,194,154,107,142,174,140,104,123,134,108,179,195,135,148,228,218,212,213,213,218,226,206,181,156,190,173,133,128,186,152,98,120,176,136,99,145,138,134,205,191,135,156,228,217,212,213,213,214,236,220,190,146,163,175,124,118,180,157,97,115,183,137,157,201,168,142,195,196,133,167,228,217,213,214,213,216,235,223,194,159,126,156,143,113,184,170,107,124,182,185,200,194,179,152,150,183,127,170,227,216,214,215,213,220,240,227,205,178,143,133,154,131,181,180,165,199,207,203,193,182,165,155,135,139,115,168,228,216,214,215,214,219,240,232,211,187,174,164,160,180,191,202,217,218,215,205,191,176,156,142,136,120,105,165,230,218,215,215,214,219,235,234,219,201,189,180,170,174,195,208,215,215,216,206,186,173,154,135,125,119,101,186,228,220,213,215,214,216,230,231,225,213,203,186,179,176,188,204,214,213,209,201,182,168,150,132,124,107,150,223,223,221,216,218,219,212,228,231,232,222,208,190,180,179,189,208,216,213,203,195,180,165,145,129,107,138,221,220,221,221,182,186,192,184,215,232,235,223,208,194,182,178,190,212,215,208,197,190,176,157,138,118,117,212,228,226,228,228,122,124,129,116,172,235,225,217,210,198,186,174,190,208,205,194,184,176,164,146,130,114,139,185,185,188,187,184,129,129,130,118,144,231,214,209,210,202,190,173,185,205,197,183,166,155,146,137,120,122,123,121,120,116,136,168,127,129,130,124,136,225,204,207,211,203,188,174,180,202,193,173,146,133,128,121,123,131,124,123,150,192,227,225,126,126,128,126,133,222,204,207,212,198,189,179,176,195,187,160,128,119,114,123,130,132,159,198,232,233,221,206,127,126,127,126,129,226,218,208,210,196,185,182,171,181,178,146,119,114,116,121,142,208,241,249,236,229,223,205,126,128,126,126,125,223,225,216,208,193,186,187,166,173,172,139,115,111,114,165,232,247,245,239,230,236,239,225,127,127,127,127,125,213,224,222,208,193,186,187,163,165,169,136,111,101,170,238,236,239,242,228,225,232,242,241
23,143,143,144,144,145,145,146,146,145,146,147,147,146,146,146,146,146,146,146,146,146,144,144,143,143,142,140,139,146,147,146,148,148,149,149,150,150,150,151,150,149,149,149,148,149,150,149,149,148,147,146,146,145,145,143,141,149,150,151,152,152,153,153,154,154,154,153,152,153,152,151,155,155,152,152,151,151,151,149,149,148,147,146,145,153,153,154,156,155,155,157,157,157,156,163,154,156,160,156,129,148,162,154,154,155,153,151,152,151,149,149,148,157,157,157,159,158,158,160,162,158,163,191,167,158,174,161,131,101,145,164,158,157,156,156,155,153,153,152,151,160,160,160,161,162,161,163,165,160,181,181,152,97,113,105,127,129,112,133,164,160,159,159,158,157,156,155,153,162,163,163,164,164,165,166,166,167,189,172,140,83,143,150,136,110,93,103,167,162,162,163,161,160,159,158,157,165,165,166,166,167,168,168,166,178,176,176,122,133,177,137,164,159,148,162,169,165,165,164,164,163,162,161,160,167,168,168,169,170,171,172,170,179,173,176,182,187,166,95,132,187,172,172,171,170,169,166,166,166,165,164,163,169,171,171,171,173,166,156,161,165,173,175,173,168,159,96,83,156,175,171,172,172,171,170,169,167,166,165,165,172,174,173,175,171,152,128,137,146,149,145,145,140,127,95,44,56,152,181,173,173,172,171,172,171,170,168,167,173,175,174,173,177,169,166,156,161,154,142,137,120,72,65,45,36,131,187,175,177,175,174,174,173,173,171,170,175,176,177,174,173,178,176,168,148,106,103,109,105,60,62,44,50,167,182,177,178,178,177,177,175,174,173,172,177,178,180,177,163,165,182,167,105,80,41,85,118,61,63,44,85,190,180,181,181,180,179,179,178,177,175,173,179,179,182,181,163,159,187,163,91,47,31,110,122,66,59,30,102,196,181,183,182,181,180,180,179,179,176,174,180,181,183,183,164,157,189,169,114,53,53,99,74,58,46,34,86,193,183,184,184,184,183,182,182,180,179,179,183,183,185,185,161,159,197,173,114,73,34,28,25,33,40,47,79,191,185,185,185,185,184,184,183,182,181,180,184,184,186,183,155,172,201,172,118,87,44,23,37,43,52,52,98,197,186,186,187,186,186,184,184,184,183,183,185,186,188,183,157,174,192,174,125,92,70,52,65,65,66,55,111,200,187,189,187,187,186,185,186,185,185,184,187,190,190,189,161,165,177,159,116,93,83,60,71,71,70,56,133,202,188,191,190,188,188,187,186,186,185,184,189,190,192,192,164,158,162,145,121,117,89,64,71,71,70,62,171,200,191,191,192,191,190,190,188,186,186,185,190,191,192,195,170,161,161,144,127,117,85,68,72,78,62,97,202,194,194,192,193,193,192,191,190,189,187,185,190,192,192,195,175,174,160,142,119,98,79,71,74,75,69,174,202,195,195,194,193,193,192,191,191,190,189,188,192,192,194,192,179,186,165,147,129,100,75,68,70,70,163,206,197,196,197,197,196,194,193,192,192,191,190,189,192,192,196,190,181,186,163,151,135,93,68,68,57,140,212,197,199,198,198,198,197,197,196,194,193,192,191,190,192,194,198,192,179,167,152,140,117,73,61,63,72,193,201,200,200,199,199,198,198,197,197,196,195,193,192,191,194,196,197,189,180,154,141,137,128,70,65,60,103,207,200,202,200,199,200,200,199,199,198,197,196,195,193,193,194,196,196,186,189,157,138,151,153,76,70,61,118,214,200,202,201,201,201,200,199,199,198,197,197,198,194,186
5,171,172,171,172,173,173,172,172,172,171,171,171,170,169,168,168,167,165,164,163,162,161,161,159,158,158,157,157,175,175,175,175,175,175,174,175,176,173,173,173,172,171,171,170,169,168,166,165,165,164,162,161,159,159,159,158,179,179,179,178,178,179,178,178,178,178,177,176,175,175,171,173,171,167,170,167,166,166,165,163,162,161,159,157,181,181,181,181,180,183,182,181,180,181,180,179,177,173,175,190,138,147,177,169,169,167,166,165,164,162,161,159,183,184,185,184,187,174,181,186,183,183,182,179,183,177,163,130,108,165,176,171,172,171,169,167,166,164,163,161,186,187,189,185,205,148,152,195,186,186,183,193,185,138,116,138,171,179,176,175,174,173,171,170,169,167,165,163,191,190,192,189,202,128,150,199,189,183,190,187,133,124,184,192,187,183,179,179,181,177,174,173,171,169,167,166,194,193,193,194,189,124,173,200,186,171,164,127,129,170,144,145,145,146,145,142,162,175,178,176,174,171,170,170,196,196,196,197,174,128,190,200,186,151,118,124,189,123,109,120,138,149,151,149,146,164,142,172,177,174,173,172,199,199,199,199,186,128,174,205,181,142,118,137,150,114,119,113,120,121,111,122,128,127,131,179,178,176,174,173,201,202,201,202,191,129,162,211,172,139,120,117,126,127,104,90,87,85,89,95,97,100,159,184,182,178,177,176,203,203,204,203,184,140,125,201,172,130,103,102,114,109,89,94,104,99,113,114,135,150,141,129,177,184,178,177,205,206,206,208,176,152,146,145,147,131,115,101,96,81,90,111,93,119,152,156,173,154,145,139,137,180,182,179,207,207,208,210,205,168,167,154,130,135,122,100,98,90,92,92,126,198,203,200,195,174,178,172,134,182,184,181,209,209,209,209,212,200,168,181,175,147,111,94,89,99,87,145,205,200,195,197,173,170,177,133,161,192,182,183,210,210,211,212,210,215,193,185,186,160,127,90,91,84,113,217,204,199,204,183,152,175,148,128,193,189,187,185,212,212,213,213,213,214,211,183,192,170,135,93,91,87,122,187,197,211,194,167,162,158,103,168,199,190,189,187,213,213,213,214,215,216,214,190,196,177,143,102,91,108,106,120,140,166,158,162,158,111,141,201,193,193,191,189,214,214,214,214,215,215,216,187,200,186,146,111,93,107,110,122,142,128,139,159,119,139,206,197,195,194,192,190,214,215,216,216,216,216,218,187,203,185,147,124,96,102,111,121,140,142,124,118,127,205,201,198,197,195,193,191,217,216,217,218,218,218,218,188,206,185,152,135,102,97,113,126,137,131,103,101,197,206,201,201,198,197,195,193,219,218,219,219,219,220,217,191,201,183,157,136,105,93,114,125,128,111,95,188,212,204,203,202,200,198,196,194,219,219,220,220,220,221,219,192,191,177,156,136,106,92,112,114,115,84,148,221,205,207,205,204,203,200,198,195,221,220,220,221,221,222,219,191,188,176,153,136,106,94,107,113,97,99,208,212,209,208,206,205,204,201,198,197,222,222,221,221,222,224,216,193,190,174,153,134,105,95,103,97,84,182,219,210,211,209,208,207,204,201,200,198,222,223,223,223,224,226,212,199,193,177,159,127,100,94,85,87,178,223,212,213,212,209,208,207,205,203,201,199,221,222,222,223,224,223,208,198,190,180,154,116,96,84,116,202,224,216,215,214,213,211,209,208,206,203,202,201,221,221,221,223,223,218,198,183,186,173,142,106,94,94,208,225,213,217,215,213,212,210,208,207,206,204,202,201
1,120,124,127,128,131,134,136,136,137,138,139,140,141,140,140,141,141,140,140,140,141,140,141,140,140,138,137,137,123,127,131,131,135,137,138,139,140,141,142,143,142,143,143,143,144,144,144,143,143,144,144,145,144,142,141,141,126,130,133,135,138,140,142,143,143,144,145,145,146,145,149,149,146,149,148,147,147,148,148,148,147,146,145,144,128,132,136,138,142,143,145,145,146,148,148,148,150,153,129,137,152,149,150,149,150,150,150,150,149,149,147,145,132,135,139,142,145,147,148,149,150,150,149,153,143,161,120,92,168,154,150,151,152,152,153,152,150,150,150,148,134,138,142,146,147,150,151,151,151,152,150,169,136,122,134,69,122,136,157,153,155,155,155,154,153,152,151,150,137,142,145,148,150,152,153,154,153,155,153,174,135,116,147,63,106,82,160,157,158,158,159,158,156,156,155,153,141,145,147,151,153,156,156,158,157,158,152,177,145,111,165,83,118,81,138,165,159,159,160,160,159,158,157,156,144,147,149,153,155,157,159,159,159,165,138,132,168,99,164,96,116,102,113,171,161,163,161,160,161,160,159,157,146,150,153,156,158,158,159,163,160,174,135,99,175,93,149,112,129,147,94,167,165,166,165,165,163,162,161,159,147,151,153,157,159,160,162,165,162,178,141,105,171,99,152,133,111,163,94,149,171,166,167,166,166,164,163,162,149,152,155,158,160,162,165,165,163,184,142,113,191,116,142,149,94,167,113,123,178,167,168,167,167,166,165,165,150,155,158,159,162,164,165,168,165,181,140,105,185,99,103,150,78,171,137,103,178,169,171,170,169,170,167,166,152,157,159,161,164,165,167,170,167,181,157,86,154,110,104,139,103,150,130,94,167,174,172,172,171,170,169,168,153,156,160,162,165,167,170,171,169,186,146,86,126,174,130,128,164,131,106,85,147,180,171,172,173,172,171,170,153,157,161,163,166,169,171,171,171,180,152,148,107,141,146,172,164,120,105,86,106,185,172,175,175,173,173,173,154,158,163,165,167,169,171,171,175,178,155,148,105,122,182,180,160,169,125,85,73,177,177,176,177,175,174,174,155,159,163,166,169,171,171,171,178,186,141,121,130,158,154,122,118,198,182,136,64,156,183,176,179,178,177,175,154,159,163,166,169,172,172,172,179,200,145,114,114,106,94,101,147,180,179,144,95,129,189,177,179,178,178,177,156,158,162,165,167,170,171,171,176,208,165,110,123,122,147,182,195,170,158,124,74,113,190,177,179,178,178,179,156,159,162,166,168,169,172,172,174,203,190,119,141,133,178,199,194,177,148,117,55,114,192,177,179,178,178,179,156,159,163,166,169,171,172,173,174,200,205,137,155,137,169,205,203,179,136,105,53,122,192,178,180,180,178,178,156,159,162,164,167,171,172,174,173,192,203,159,170,147,152,209,202,166,128,92,54,149,189,180,181,180,179,178,159,163,167,168,170,173,174,175,174,180,200,182,171,159,136,203,194,157,121,81,56,168,185,182,181,180,181,180,142,147,152,158,162,167,169,170,174,172,195,199,174,154,123,182,186,145,109,72,72,190,191,192,186,181,180,181,69,71,73,78,83,84,87,90,95,90,176,191,161,146,120,152,167,131,96,72,82,150,146,146,165,189,184,178,70,70,70,70,71,71,71,71,73,61,152,181,154,142,117,133,156,126,88,73,68,63,89,141,172,170,180,177,71,75,82,80,79,77,75,75,78,68,149,180,158,136,123,132,153,120,72,66,90,149,192,194,168,141,140,174
10,109,116,125,130,133,137,139,141,143,146,147,149,150,151,152,154,156,157,158,158,159,160,162,162,163,164,164,165,110,117,126,131,133,137,140,141,144,146,148,149,151,153,155,155,152,153,160,159,161,162,163,163,164,165,166,167,111,119,129,132,134,138,140,142,146,148,149,150,152,154,154,162,153,125,160,161,162,163,165,165,166,168,168,169,113,120,129,132,135,139,142,144,146,148,150,152,153,156,154,169,160,115,151,164,163,165,166,167,168,168,169,170,113,122,130,133,136,139,142,145,147,149,150,152,154,155,154,170,163,119,143,166,164,167,167,168,168,169,170,170,114,122,130,133,136,140,144,146,147,149,151,151,154,159,156,165,168,130,134,169,164,166,167,169,169,170,170,171,115,124,131,133,138,141,144,146,147,149,150,154,159,138,155,167,176,143,124,169,166,167,168,170,170,170,170,172,117,126,132,135,139,142,144,146,148,149,151,156,166,119,125,171,174,153,118,163,168,168,169,170,170,172,173,173,117,127,133,135,139,143,144,149,153,154,154,165,155,124,103,167,167,150,116,159,171,170,170,169,171,172,172,172,119,127,133,136,139,144,155,134,126,124,131,159,164,141,104,149,165,141,112,151,173,170,171,171,172,173,173,173,119,128,133,136,138,147,147,118,99,95,93,110,166,153,106,126,157,130,113,142,174,170,172,173,173,175,175,175,120,130,133,137,141,145,141,124,104,94,111,100,144,164,118,121,141,117,113,132,177,170,172,173,174,175,175,175,121,129,134,138,141,145,149,149,147,133,112,93,136,169,129,112,117,106,113,123,176,171,173,174,174,175,175,175,121,130,133,138,142,146,148,146,172,166,111,89,155,171,138,100,95,105,114,117,174,172,174,175,175,175,175,175,121,130,133,137,141,144,147,146,172,161,118,81,167,173,143,107,90,107,116,106,165,175,174,175,176,176,176,175,123,131,134,138,143,142,162,161,170,168,117,74,180,173,142,111,91,104,114,99,155,179,174,176,176,177,177,177,124,131,135,138,143,141,173,171,164,163,108,114,185,164,140,108,91,98,110,92,147,180,173,176,176,177,178,178,125,131,135,140,142,143,158,172,160,156,127,182,174,158,144,110,94,98,101,94,163,177,174,176,177,178,178,178,126,131,134,140,143,146,150,156,141,157,167,194,172,154,141,114,97,99,92,113,180,173,175,176,177,178,178,179,127,131,136,140,143,147,149,158,139,171,191,188,171,151,135,115,99,96,86,143,180,173,175,176,177,179,179,179,126,131,135,139,143,147,148,172,161,150,188,184,168,149,133,116,100,91,92,168,175,175,175,176,178,179,179,178,127,131,135,139,143,146,149,181,172,144,184,181,168,148,132,117,103,85,116,180,172,175,176,177,178,178,179,179,127,132,135,139,142,145,152,186,178,163,188,177,168,150,133,119,101,83,150,178,173,176,177,178,178,178,179,179,127,132,135,139,143,145,154,191,181,171,183,179,174,152,133,120,95,97,174,174,175,177,177,178,179,179,179,180,128,132,136,141,144,146,154,190,177,176,179,177,180,157,131,119,90,123,180,172,175,175,176,178,179,179,180,180,128,131,135,140,144,146,154,185,170,172,178,177,179,159,132,115,87,151,178,173,176,176,178,178,179,179,180,180,128,132,136,141,144,146,152,170,170,180,180,176,176,155,130,106,105,175,173,174,175,177,177,178,179,179,180,180,127,131,136,141,143,147,149,175,181,185,179,171,172,151,127,97,129,179,172,174,175,177,178,179,179,179,179,181
22,60,97,115,115,119,122,124,135,149,159,164,167,170,173,176,179,183,184,185,190,189,189,190,189,189,190,189,188,59,101,115,116,119,123,125,136,150,160,166,168,171,175,178,181,184,185,190,173,184,192,192,193,190,191,189,188,62,106,115,117,120,124,126,138,152,162,166,170,172,176,180,184,184,186,203,133,163,199,186,180,194,192,191,190,65,109,116,118,121,125,127,139,153,162,168,171,175,176,182,185,184,194,204,130,169,203,171,137,195,193,193,192,70,111,116,119,122,126,129,141,153,163,166,185,187,134,183,187,184,204,204,129,177,211,161,139,200,194,194,193,75,113,116,120,123,126,129,142,155,167,168,188,176,116,177,190,185,212,199,131,188,217,156,151,205,196,196,195,81,116,117,120,124,126,131,143,157,167,172,181,183,122,168,194,188,209,185,131,198,217,149,169,204,198,198,197,87,117,118,120,125,127,131,146,157,168,174,178,187,131,153,197,191,202,171,128,205,211,137,181,205,198,199,199,90,117,118,122,125,128,132,147,159,169,175,176,188,144,138,195,194,198,160,132,219,190,128,194,205,202,202,201,95,118,119,122,126,128,133,147,161,170,176,175,189,151,119,183,198,184,153,134,225,170,135,205,203,204,204,203,100,119,119,123,126,128,134,149,162,171,177,175,190,179,127,166,194,170,137,149,225,152,146,210,203,206,205,204,106,119,119,122,125,129,134,150,161,171,177,176,190,203,140,138,179,168,154,198,211,137,160,212,205,206,206,206,111,120,120,122,126,128,136,151,162,172,177,189,166,174,128,128,163,186,213,218,188,127,178,213,206,207,207,207,114,120,120,123,125,128,136,151,162,171,182,198,164,151,132,145,169,201,220,210,175,125,194,212,209,209,209,208,116,119,121,123,126,129,137,151,162,172,180,186,200,200,164,120,143,183,202,203,173,124,202,212,210,210,210,210,118,119,120,123,127,129,137,153,164,173,180,195,210,216,161,125,124,150,172,181,159,123,203,215,212,211,211,211,119,120,121,122,127,129,138,153,165,175,177,211,198,179,169,153,129,128,136,139,146,121,194,217,213,214,213,213,120,120,121,123,127,130,138,154,166,175,178,210,196,168,183,176,152,133,127,118,131,119,185,220,214,216,213,213,122,121,120,123,126,129,138,154,165,175,177,213,209,182,173,183,175,165,142,117,118,116,183,222,215,217,216,215,121,120,120,123,125,129,139,155,166,177,177,213,215,189,175,224,185,176,146,123,121,115,185,223,216,217,217,216,120,119,119,122,126,129,140,155,168,178,179,203,228,184,192,244,190,165,142,128,127,118,191,223,217,218,217,217,120,121,120,122,125,129,140,156,167,178,180,195,222,173,202,230,190,163,143,136,127,122,201,223,219,220,219,219,121,121,120,121,125,131,142,156,167,178,181,188,208,178,198,215,195,174,145,134,129,125,202,222,220,220,220,220,121,121,121,124,126,130,143,156,168,177,182,185,198,195,199,207,190,168,145,131,130,126,201,224,222,222,223,223,121,120,121,123,127,130,143,157,169,178,182,184,192,205,191,192,182,150,138,132,128,119,199,227,222,223,223,223,122,119,119,122,126,129,143,157,169,179,181,184,192,201,181,173,178,142,138,135,127,110,188,229,222,224,223,223,120,119,119,121,124,128,142,156,168,178,180,185,193,193,167,172,193,179,159,137,128,109,165,229,220,223,223,222,119,117,118,120,122,127,140,155,168,176,180,184,191,197,197,203,202,190,176,145,124,112,133,221,220,222,222,222
7,125,133,138,139,143,149,154,157,160,161,164,166,168,170,171,173,173,174,175,175,174,175,175,174,173,173,172,171,126,133,138,140,144,149,155,158,161,163,165,167,170,172,172,173,175,176,176,177,176,177,178,176,175,174,173,172,128,134,138,141,145,151,155,158,162,164,166,168,171,172,174,175,176,177,178,178,178,178,178,177,176,176,175,173,128,135,138,141,146,151,155,159,163,165,167,169,172,174,175,177,177,178,179,179,178,179,179,179,178,178,177,175,130,136,139,142,147,152,156,159,163,166,169,171,173,175,177,178,178,179,179,179,180,180,180,180,180,179,178,176,131,137,141,144,148,153,157,161,164,166,170,172,175,177,178,179,179,181,181,181,181,181,180,181,181,180,179,177,133,139,143,145,149,154,158,162,165,168,172,173,176,178,180,182,182,183,183,184,183,182,182,182,182,181,180,179,133,139,143,146,150,154,159,165,166,169,172,173,174,178,179,179,181,183,183,183,185,184,183,183,183,182,182,180,132,140,144,145,151,162,180,181,172,174,182,183,183,180,173,169,177,174,174,174,177,183,185,185,184,184,183,183,133,140,143,152,175,194,199,189,171,164,176,186,190,186,171,171,185,175,164,156,146,165,172,184,186,185,184,185,134,145,168,191,198,198,199,187,164,157,165,177,181,179,161,160,172,164,158,151,143,153,147,182,188,187,186,186,160,188,199,200,198,199,197,178,157,154,166,185,190,193,179,175,171,166,174,168,155,151,154,165,175,185,187,186,201,203,202,206,200,201,203,184,139,126,133,151,155,160,164,168,167,169,174,175,167,163,165,154,164,164,184,186,207,207,205,206,203,207,209,178,126,107,111,104,93,107,125,140,144,146,147,151,152,151,152,147,156,153,184,189,210,207,206,207,206,207,200,152,113,105,108,108,89,73,90,169,178,180,178,176,171,166,166,163,165,176,188,188,207,206,203,205,205,206,192,142,101,100,113,116,111,95,97,180,190,190,191,192,192,191,191,190,189,189,189,188,210,209,207,209,211,213,192,134,98,85,82,110,127,108,95,164,191,191,191,191,191,190,190,190,189,189,189,188,207,206,202,198,199,197,162,125,101,95,76,85,112,114,116,172,191,191,192,192,193,192,192,192,190,190,190,189,195,193,183,177,180,167,138,120,111,101,93,89,121,146,166,187,190,191,192,193,193,194,193,193,191,191,190,190,179,172,167,162,162,144,121,115,109,109,98,101,167,187,188,189,190,192,193,193,194,195,193,193,193,193,191,190,154,154,145,134,127,126,138,145,130,127,129,147,183,186,188,190,192,193,193,194,193,194,194,193,193,193,192,191,125,122,115,116,130,149,161,167,168,168,172,176,179,181,183,185,186,188,187,187,187,187,188,187,185,185,185,185,101,98,99,115,124,123,123,124,124,124,125,125,126,127,128,127,128,129,130,128,127,126,125,124,122,122,121,120,83,95,102,101,105,103,101,100,100,100,100,100,101,102,100,98,98,99,100,100,101,100,100,98,96,95,95,93,95,101,105,105,106,107,106,105,106,106,107,106,106,105,104,107,108,105,104,103,103,103,102,101,98,99,98,95,98,101,106,107,107,108,106,105,106,106,106,105,105,104,104,109,110,108,108,104,102,101,101,101,100,99,101,128,99,98,106,108,108,107,107,106,107,107,106,106,107,106,105,105,104,104,105,103,102,101,101,101,99,114,157,179,97,93,103,109,109,109,109,108,108,109,108,108,108,108,108,106,104,104,104,103,104,102,100,99,107,172,173,162
10,92,105,117,137,163,175,184,189,192,195,196,198,200,200,199,201,203,201,201,199,197,196,195,192,190,188,185,182,93,106,119,140,165,177,185,190,193,196,197,200,201,203,203,203,203,202,201,200,198,200,195,193,193,190,186,183,96,108,120,142,166,179,188,191,194,198,200,202,203,204,206,207,206,205,203,203,203,188,195,197,193,191,189,185,97,109,123,143,168,181,189,193,197,200,202,204,206,207,208,209,209,209,208,205,213,147,148,206,193,193,191,188,100,110,124,146,171,182,190,197,199,202,206,208,209,210,210,211,211,212,210,207,218,150,127,208,197,197,192,191,102,112,125,149,172,184,193,199,200,203,208,210,210,212,215,215,215,215,213,211,219,148,121,208,201,199,198,195,103,114,127,150,175,186,195,201,202,205,210,213,214,215,218,219,218,216,217,216,226,154,123,212,205,204,201,198,105,116,129,153,177,187,196,202,203,207,212,215,217,218,219,219,219,220,218,220,203,153,124,215,208,207,204,201,106,118,130,155,178,189,197,203,207,209,216,218,219,220,222,222,223,224,226,230,130,122,122,217,211,209,207,204,107,118,130,158,179,190,199,205,207,211,218,219,219,224,224,224,225,219,207,202,122,90,128,221,212,211,208,205,108,118,132,158,179,192,201,206,209,214,218,220,222,226,228,232,234,218,182,122,108,73,137,229,214,214,211,209,109,120,133,159,179,193,202,208,212,215,219,223,225,226,224,199,215,211,155,88,81,89,113,227,217,216,213,210,112,121,134,162,180,194,203,209,211,217,222,225,228,236,217,162,127,100,77,85,109,92,86,220,220,217,215,210,114,123,135,163,182,195,204,210,213,217,223,228,216,206,232,196,124,45,48,78,177,119,82,213,224,219,216,213,114,124,137,164,182,196,205,211,215,218,223,232,209,160,172,215,152,69,58,78,193,156,84,206,228,220,218,215,114,125,137,164,181,197,205,211,215,221,225,232,227,207,151,193,162,94,48,98,195,167,82,184,235,221,219,217,114,125,137,165,183,197,207,214,216,222,227,230,190,201,146,143,164,104,58,152,195,163,78,163,239,221,221,219,116,126,140,167,185,197,206,215,217,222,226,238,196,149,138,106,176,162,105,192,181,132,77,174,238,222,222,218,115,126,142,168,184,198,206,215,218,223,228,234,210,160,132,129,167,180,117,190,167,109,73,196,236,224,223,220,116,126,141,168,184,198,208,215,218,225,228,234,239,195,145,126,129,170,161,185,152,105,68,209,237,225,225,222,116,127,142,170,185,197,208,215,218,224,228,231,240,214,176,145,141,222,220,175,141,98,76,225,235,228,225,222,116,127,143,170,185,198,209,216,220,225,230,232,220,209,188,168,156,214,207,161,129,87,89,238,233,231,227,225,116,127,143,170,184,198,209,216,220,225,229,236,216,207,195,180,160,203,197,147,116,67,115,248,232,232,229,226,115,124,142,169,184,198,209,216,219,225,229,234,230,204,198,178,153,176,172,130,103,54,166,248,231,230,228,224,113,123,140,166,182,196,207,214,217,222,226,230,236,218,192,169,148,152,161,131,94,74,222,238,231,228,225,222,112,121,138,165,180,196,207,214,217,223,227,231,235,235,200,170,165,155,165,142,81,116,246,231,229,226,224,221,112,120,137,164,178,195,206,213,216,222,226,231,235,232,212,192,186,164,162,130,74,152,248,231,229,226,223,221,109,117,137,163,176,192,204,211,213,220,224,228,232,222,226,205,188,162,140,118,70,160,246,228,228,226,222,220
1,0,22,27,37,49,70,85,96,102,107,111,113,117,123,127,128,130,137,135,136,139,140,139,142,143,143,144,144,0,23,28,39,50,75,88,96,103,109,113,115,118,124,124,145,110,92,144,140,139,142,143,144,144,144,144,144,7,23,31,40,52,77,89,97,105,110,115,118,123,127,128,161,94,51,120,114,145,143,145,145,146,146,146,146,12,24,33,42,56,80,89,99,107,112,116,118,123,135,111,152,91,77,111,65,148,144,146,147,148,147,146,147,16,25,34,43,59,82,93,102,107,113,118,119,126,150,83,143,86,89,127,59,138,148,148,149,149,149,149,149,18,26,34,43,62,85,96,103,110,115,120,116,140,139,81,152,88,93,130,54,131,153,149,150,152,151,151,150,21,29,35,45,65,87,95,104,110,116,122,119,148,127,72,146,83,95,139,62,129,157,151,153,152,153,153,153,23,29,37,48,68,88,98,107,112,114,139,114,125,116,75,149,84,92,129,59,126,159,153,155,155,155,156,154,23,29,38,49,71,87,99,108,113,117,153,80,124,98,101,157,77,96,143,57,124,161,154,156,156,156,157,156,24,31,40,50,75,88,99,110,110,132,146,62,129,82,129,151,67,117,159,61,126,163,156,158,158,158,160,159,25,31,41,53,78,90,99,111,108,154,124,66,147,83,114,121,48,124,142,58,132,164,159,160,161,161,160,161,27,32,42,55,78,92,102,111,113,165,102,66,135,56,101,99,42,139,130,52,139,164,160,161,161,162,162,162,27,35,44,57,81,92,104,108,125,170,91,56,116,103,105,114,132,143,122,51,145,164,162,164,162,163,163,163,29,36,45,60,83,93,106,105,144,161,85,75,124,155,103,121,132,126,107,49,148,165,163,165,164,164,164,164,29,36,45,62,85,95,106,105,160,161,139,127,149,150,141,127,106,99,82,47,147,167,163,165,167,167,167,166,30,37,46,64,86,97,105,114,177,142,126,128,119,107,158,160,143,109,75,44,148,168,165,167,168,168,168,168,32,39,47,65,87,98,100,141,177,118,90,82,62,60,149,151,145,127,91,43,149,168,165,168,168,169,170,169,32,40,48,69,90,100,98,160,165,111,106,114,97,138,169,156,127,106,78,28,131,175,167,169,170,170,171,170,32,41,49,71,91,100,100,165,171,130,109,114,145,198,175,143,118,75,57,23,91,182,167,171,171,171,172,171,32,41,49,72,89,101,102,161,186,147,122,114,153,204,180,138,109,67,41,24,73,181,168,172,173,172,172,172,34,42,50,73,88,100,104,152,187,147,130,119,146,194,169,137,97,65,38,18,103,182,169,174,173,173,174,174,35,44,54,76,91,103,106,142,182,145,137,123,131,177,160,126,87,61,37,33,156,177,173,174,175,176,176,176,35,43,54,77,91,102,109,131,176,153,150,135,149,170,137,105,75,55,26,85,182,173,176,176,177,177,177,177,35,44,54,79,91,101,112,121,159,154,147,131,148,154,119,89,67,49,25,136,181,175,177,177,178,179,179,178,36,44,55,80,93,105,113,117,145,150,142,127,116,123,107,81,69,43,38,162,178,177,178,180,180,180,180,180,35,41,53,77,89,103,112,116,130,147,139,125,115,116,113,94,70,34,56,175,173,175,177,179,180,179,179,179,34,40,53,77,86,99,111,117,133,153,148,136,128,115,113,99,64,27,86,182,170,174,177,177,178,179,179,179,33,39,54,76,87,100,111,115,169,153,143,149,130,112,91,80,60,18,89,183,169,174,177,179,179,179,180,180
15,104,100,98,97,99,102,103,104,107,118,132,146,156,166,174,179,180,185,189,195,201,206,210,213,215,218,222,224,104,99,98,98,98,101,104,104,107,120,133,148,157,167,175,180,181,185,190,197,203,206,212,215,216,220,223,226,103,99,98,98,98,101,106,104,108,120,135,147,157,167,175,181,182,186,192,197,203,208,213,216,219,223,225,228,103,100,98,97,101,100,99,102,108,122,137,148,158,169,175,181,183,186,192,198,204,210,215,218,221,224,225,229,103,100,99,100,97,104,138,117,112,121,137,149,159,169,179,183,184,186,192,199,206,211,215,219,222,224,226,230,104,101,101,101,85,196,201,156,150,145,140,141,158,168,170,171,180,189,198,203,207,210,214,219,222,224,227,232,105,102,100,99,90,189,172,143,144,143,127,142,147,150,145,138,144,151,167,189,206,216,222,223,222,224,229,232,105,101,100,100,94,115,129,108,116,108,102,139,128,129,123,138,152,142,140,145,160,172,188,210,231,226,230,232,105,101,99,98,100,99,100,100,104,98,101,111,105,103,103,143,149,144,146,150,154,145,126,124,166,238,230,233,105,102,99,97,100,103,103,104,111,124,138,137,138,135,122,131,128,126,117,141,168,159,139,135,97,166,245,231,105,103,99,98,99,100,101,102,109,126,139,156,165,174,180,165,127,109,138,171,174,170,136,148,139,85,192,249,105,101,97,98,99,100,101,100,110,126,142,151,162,186,187,165,144,151,220,169,181,151,159,171,148,122,97,218,105,99,98,97,99,99,101,101,110,127,139,157,216,199,155,134,130,126,208,144,132,161,206,155,178,159,102,106,103,100,96,95,96,98,98,99,109,128,129,195,239,152,125,131,135,99,135,110,96,233,173,149,195,172,129,84,102,99,95,95,96,95,98,98,107,128,128,188,208,128,129,154,161,152,123,93,118,207,116,136,197,184,141,100,102,99,96,94,94,95,96,97,110,129,130,176,186,106,144,164,173,164,127,113,124,130,125,152,176,167,135,100,99,97,94,93,93,95,96,97,111,128,129,181,237,136,132,166,180,161,115,107,122,124,142,152,140,116,108,95,98,98,94,93,93,95,96,96,108,127,130,184,205,226,176,135,131,118,102,112,119,123,131,144,135,95,88,90,99,97,94,93,91,93,96,95,106,128,126,233,210,195,216,158,110,67,71,106,124,128,140,155,136,96,89,89,100,95,92,93,91,94,95,96,107,125,134,178,199,215,202,185,158,91,32,45,76,138,139,142,116,92,92,93,88,85,82,81,81,83,84,86,99,116,133,143,156,183,174,177,150,136,70,46,61,132,155,129,107,102,105,106,146,140,136,132,128,122,121,123,130,139,146,156,165,169,150,137,156,190,126,54,82,96,151,164,146,132,121,113,151,146,145,144,142,142,146,147,142,139,136,134,139,144,147,143,145,222,149,84,105,85,104,132,132,121,109,100,132,131,131,129,128,130,132,130,130,131,124,120,125,128,130,134,121,152,129,132,139,130,126,112,100,100,96,90,138,139,140,137,137,138,140,140,138,139,140,137,140,141,141,142,143,138,141,141,145,144,155,156,124,102,94,89,139,141,143,142,140,139,140,140,140,141,141,141,141,141,139,141,142,143,142,144,140,138,156,171,150,127,104,113,140,142,143,143,142,139,142,143,142,144,142,143,143,142,140,141,143,142,143,143,141,140,135,153,203,139,142,152,140,141,141,139,140,140,141,141,141,142,141,141,143,141,141,143,145,143,143,142,141,141,140,139,248,233,201,189
23,186,186,186,184,186,187,186,185,183,183,183,180,180,179,178,178,177,175,173,172,170,169,166,164,164,157,43,19,189,188,189,188,188,189,188,188,187,185,186,184,182,181,180,180,178,177,175,173,173,171,169,165,169,150,28,16,189,189,189,190,191,191,191,190,190,189,188,188,186,185,184,182,179,179,178,176,175,173,172,168,179,123,15,14,193,193,192,194,194,195,195,194,193,190,189,188,189,187,187,186,185,181,180,179,178,177,175,169,183,98,6,8,197,195,195,196,197,197,196,196,195,194,193,192,181,183,185,183,177,186,184,181,181,178,176,172,178,70,5,0,198,198,198,198,198,197,197,197,196,195,196,180,146,139,153,152,137,118,178,185,180,180,179,176,173,45,6,0,199,199,201,201,201,201,198,199,199,198,190,167,173,148,146,158,153,88,105,199,181,182,181,179,183,66,4,0,202,201,202,202,202,203,202,201,201,200,189,173,154,113,89,123,114,113,61,147,196,182,182,179,187,99,13,0,203,202,203,204,203,204,204,202,202,198,192,167,135,80,118,137,142,111,97,64,162,191,183,180,184,129,85,4,204,203,204,204,205,205,205,204,203,193,187,148,138,82,196,205,204,166,112,73,136,197,185,183,183,151,121,49,206,205,205,205,205,206,207,206,204,186,177,133,129,121,209,200,200,205,191,173,191,190,187,185,186,162,102,147,206,206,206,206,208,209,207,209,198,182,169,123,114,158,187,172,170,153,163,202,193,191,189,187,187,166,134,140,208,208,209,209,209,209,208,208,182,171,159,141,145,157,162,163,164,142,80,185,190,191,190,188,188,177,158,154,210,211,211,210,210,209,211,184,153,152,160,170,180,189,188,178,161,131,78,171,176,154,190,190,187,188,170,121,211,212,212,210,210,213,202,181,164,156,158,160,171,165,153,143,132,131,90,141,189,130,156,198,189,187,187,139,212,213,213,212,212,213,201,179,166,152,144,152,159,162,166,160,141,129,98,66,146,106,128,203,188,188,188,181,214,214,215,214,213,217,193,185,189,161,151,151,158,165,158,154,152,87,60,29,78,51,124,206,190,190,187,187,215,217,218,219,215,220,186,184,185,154,146,155,164,166,160,156,140,73,37,23,31,62,187,196,193,191,188,186,217,218,219,218,217,222,187,166,182,173,174,175,169,168,155,141,100,56,40,32,42,176,205,194,194,193,191,188,216,217,217,217,216,221,186,161,193,185,178,171,141,125,107,73,69,59,41,29,145,211,195,196,195,193,190,187,217,218,217,217,217,221,184,164,186,174,166,153,122,79,39,44,70,52,32,65,201,197,196,195,193,189,190,190,219,219,219,219,218,223,184,166,175,165,165,156,123,66,29,48,44,42,32,116,214,196,196,193,191,196,189,166,219,220,219,219,219,223,181,167,169,164,168,166,113,48,24,26,34,50,38,164,210,198,196,203,201,157,113,125,218,219,218,219,217,223,181,164,167,177,181,155,94,57,35,39,55,50,64,203,201,206,203,153,107,59,117,133,226,227,228,228,226,232,179,158,170,184,176,136,90,65,41,44,62,37,126,224,203,170,106,40,35,36,125,145,161,166,170,174,180,188,157,158,177,185,169,125,83,67,45,44,47,61,196,170,102,50,31,33,31,23,102,158,91,91,89,88,91,89,130,165,174,177,158,116,81,65,43,40,44,67,89,49,24,42,28,31,21,21,55,159,109,109,111,109,105,103,146,166,167,162,136,104,71,57,40,35,46,42,45,29,21,43,24,24,21,22,19,102
11,144,147,149,151,153,153,153,154,154,154,152,151,149,150,149,147,145,145,142,142,141,139,137,135,134,134,132,128,147,149,151,153,153,156,155,156,155,154,155,153,152,152,154,151,149,148,146,144,143,142,140,138,136,135,133,129,147,151,154,154,156,158,157,157,157,158,156,154,153,153,139,150,153,150,148,147,144,143,142,141,137,136,135,133,151,152,155,157,159,158,158,159,159,160,158,158,155,171,107,95,160,150,150,150,147,145,145,143,140,137,136,135,152,154,157,160,161,160,160,160,161,161,161,160,158,175,114,63,158,152,152,152,150,148,147,145,143,140,137,136,154,156,159,160,161,162,161,163,163,163,161,161,161,170,112,68,154,155,152,153,152,150,148,146,144,143,140,137,157,158,161,161,163,165,165,165,165,165,164,162,161,185,127,73,151,159,154,154,153,152,150,147,146,143,141,139,157,161,162,164,166,167,167,167,166,165,165,164,165,193,136,70,145,163,155,155,154,153,151,148,147,144,142,141,159,162,163,166,167,167,168,168,168,167,167,164,171,186,121,64,146,163,157,157,156,154,152,150,148,147,145,143,160,162,166,167,167,168,168,169,169,168,171,169,177,176,118,60,152,164,158,158,157,157,155,152,149,148,145,144,161,165,168,169,169,169,171,175,176,170,141,127,183,172,120,69,158,163,161,161,159,159,157,154,151,149,144,144,165,167,169,169,172,178,173,152,146,164,119,57,134,149,94,70,168,164,161,161,161,159,157,155,154,151,147,145,166,169,172,172,160,147,175,124,61,97,136,74,42,70,46,79,179,166,164,162,161,160,158,155,154,152,150,146,167,170,172,181,152,68,122,140,59,80,139,73,25,40,29,115,179,166,166,164,163,163,161,159,153,153,152,149,170,170,178,190,167,90,82,152,65,78,121,60,27,39,28,126,178,167,167,164,160,152,142,148,160,156,151,149,172,171,196,201,171,99,55,125,57,61,105,52,24,28,19,124,181,167,167,155,152,131,109,98,104,151,153,149,170,179,199,178,158,105,34,84,51,74,115,67,18,24,23,131,178,166,180,160,125,92,68,63,32,110,163,150,171,181,209,178,157,97,30,102,58,92,168,94,29,36,39,110,168,171,155,94,34,45,85,104,92,139,160,153,173,185,214,194,142,76,51,144,101,93,204,91,27,58,89,120,161,153,94,25,70,160,173,171,169,163,155,153,172,187,213,182,131,132,77,161,175,45,103,71,65,108,99,116,124,88,29,91,180,171,165,163,159,159,158,154,172,186,209,182,152,136,75,126,119,45,118,150,130,114,84,86,72,24,88,186,171,169,168,166,163,160,159,157,175,184,203,190,169,139,145,156,162,149,143,133,118,103,79,56,25,66,180,174,172,171,168,166,164,162,161,158,175,180,197,186,166,140,127,141,163,150,134,124,101,95,66,20,80,176,178,174,174,172,168,167,165,164,161,159,190,190,191,183,154,116,105,128,137,128,123,101,94,78,25,100,190,180,177,177,175,172,169,167,167,165,161,159,50,118,184,161,130,99,123,133,128,116,102,88,58,34,117,192,178,178,177,176,175,172,170,168,166,164,161,159,0,17,145,162,154,152,138,122,118,92,64,23,69,158,191,180,180,178,176,176,174,172,171,168,165,162,160,158,26,19,31,110,150,144,123,107,96,66,18,62,197,190,181,182,181,180,178,177,175,173,171,168,168,164,161,161,15,18,11,18,64,85,93,84,62,31,8,156,194,183,184,183,182,181,180,177,175,174,172,170,168,164,162,150
12,80,86,97,110,118,125,131,136,138,141,144,147,150,153,155,157,159,161,162,163,165,165,166,167,167,167,167,168,81,86,97,111,120,127,132,137,139,142,144,147,151,154,156,158,159,161,163,165,166,166,167,168,168,169,168,169,81,87,99,112,121,128,133,137,140,144,146,149,149,152,157,160,152,154,163,166,167,168,169,170,171,171,170,170,83,89,101,114,122,129,134,138,142,146,154,156,137,134,157,162,132,123,150,158,159,167,171,172,172,172,172,172,84,90,103,116,124,131,136,140,144,148,173,171,139,119,144,163,133,105,115,127,124,148,171,173,174,174,174,174,85,92,104,117,125,131,137,141,145,153,188,185,152,123,134,164,143,112,95,112,105,115,160,174,175,175,176,176,87,94,107,119,126,132,138,142,146,159,192,196,167,130,130,165,149,117,89,107,107,98,145,175,176,177,178,178,88,95,109,120,127,134,139,143,147,165,181,189,172,131,123,164,148,113,85,103,107,98,148,177,178,178,179,179,89,96,109,120,129,135,141,148,157,165,162,160,156,120,107,145,138,104,83,103,103,102,157,179,180,180,180,180,89,97,110,121,129,136,155,183,181,145,116,115,131,105,89,117,114,91,81,100,98,109,166,181,181,181,181,181,90,99,113,122,129,140,178,200,174,130,100,89,114,103,83,102,104,87,80,97,95,114,171,182,183,182,182,182,91,100,113,123,130,147,182,174,155,129,106,85,101,111,85,98,115,96,89,113,107,116,168,183,183,184,184,184,92,101,115,124,131,154,178,151,140,134,112,87,73,82,69,84,109,97,97,124,113,97,135,179,185,185,185,185,92,102,116,124,132,160,178,148,129,129,112,90,56,49,66,90,103,101,112,119,102,86,108,170,186,186,186,186,93,104,117,124,132,165,188,158,130,115,101,83,54,61,99,131,140,135,132,119,103,95,113,171,187,186,186,186,94,106,119,126,134,169,190,163,137,109,91,83,73,95,137,162,164,154,138,117,104,99,131,180,187,187,187,187,95,107,120,127,135,170,188,167,143,115,102,108,111,140,167,176,171,152,130,112,97,101,153,185,188,188,188,188,96,108,120,128,136,165,182,164,143,121,115,120,129,163,176,178,169,145,122,107,95,117,173,188,189,189,189,189,97,109,120,129,136,158,178,161,141,125,119,118,134,164,172,172,160,134,114,101,98,142,184,189,190,190,190,190,99,110,121,129,137,152,174,159,144,133,126,125,143,162,167,163,145,124,107,96,109,165,188,190,191,191,192,192,100,112,122,130,137,147,168,162,152,145,134,130,145,157,159,146,128,112,100,96,130,180,189,190,192,192,193,193,102,113,122,131,138,144,163,167,155,145,133,124,131,143,143,128,111,102,96,108,159,187,190,191,192,193,194,194,103,114,123,131,138,144,159,172,154,140,126,115,115,123,123,113,101,96,98,135,180,190,191,192,193,194,194,194,104,115,123,131,139,145,156,176,162,139,121,112,113,114,113,107,97,93,111,165,187,190,192,193,194,194,194,195,104,115,123,131,139,144,156,180,172,144,125,120,122,115,111,106,94,89,129,181,189,191,193,194,194,195,195,195,105,115,124,131,139,148,166,188,183,155,138,131,127,114,105,99,88,84,137,186,190,192,193,194,195,195,195,195,106,116,124,132,141,164,182,184,191,163,146,134,125,111,99,91,83,81,140,187,190,192,194,194,195,196,196,196,106,117,125,133,145,183,192,171,183,166,149,133,121,108,93,87,82,83,145,188,191,193,194,195,195,196,196,196
21,132,138,143,144,147,151,155,158,160,163,164,166,167,169,170,170,170,171,171,171,170,169,169,167,166,166,165,165,133,138,143,145,148,152,156,159,162,164,165,167,169,171,172,173,172,149,163,172,171,170,170,170,169,167,166,166,134,139,144,146,150,153,157,160,163,166,167,168,170,173,173,179,180,114,132,174,172,172,172,171,169,168,168,168,134,140,144,146,150,155,159,161,163,166,168,169,172,174,174,182,179,112,130,177,175,174,173,170,168,170,170,170,136,142,145,146,151,156,160,163,164,166,169,171,173,174,175,186,175,117,131,178,176,176,174,159,132,161,172,170,137,142,146,148,153,158,161,165,166,168,171,173,174,175,176,189,175,119,133,180,178,178,172,144,103,151,174,172,137,143,147,149,153,158,162,166,168,170,172,174,176,177,178,190,175,124,134,181,179,177,168,138,106,164,174,174,137,143,147,150,153,158,162,166,169,172,174,175,177,179,179,191,173,126,129,181,179,176,164,130,118,174,176,175,138,144,149,150,155,159,164,167,171,173,174,176,179,180,179,193,175,128,122,182,180,175,160,121,139,178,177,176,139,145,148,151,157,161,166,169,172,174,176,178,179,181,180,200,181,126,125,183,178,169,151,111,158,179,178,177,139,146,150,153,158,162,165,169,172,174,176,178,179,181,183,202,172,120,133,184,174,167,134,113,173,180,178,178,140,148,152,153,158,163,165,169,172,174,176,180,179,171,179,191,151,107,132,184,176,165,117,134,183,181,180,180,140,148,152,153,159,164,166,170,173,176,178,185,167,138,141,155,119,95,133,181,178,153,108,160,185,182,181,181,142,149,153,154,159,164,167,172,175,177,179,185,165,131,116,99,90,97,139,169,166,130,114,179,185,183,183,182,142,149,153,155,160,165,168,173,175,177,183,186,177,167,146,111,80,99,129,145,141,107,136,188,186,186,185,184,142,150,153,156,161,165,169,174,177,178,190,199,192,204,173,129,86,85,102,114,115,98,161,190,187,187,187,185,144,151,154,156,162,166,170,174,177,181,184,176,187,192,164,117,91,82,88,97,99,105,180,190,188,188,187,186,145,151,154,156,162,166,172,175,178,187,176,149,174,150,152,128,101,88,81,86,88,117,188,190,189,188,187,187,144,150,153,157,162,167,172,176,179,190,190,159,133,102,140,147,116,94,86,82,83,119,191,192,190,189,188,187,145,151,154,157,163,168,172,176,179,192,181,140,117,103,125,160,132,107,92,86,81,114,191,193,192,191,189,189,145,152,153,157,163,168,173,177,180,198,181,155,149,130,155,184,145,127,103,89,85,117,191,194,192,192,190,190,146,151,153,157,164,169,174,178,181,204,187,171,150,148,204,195,150,135,111,94,89,122,193,195,193,193,192,191,146,151,154,159,164,169,174,179,182,204,201,176,148,177,213,182,145,129,114,99,93,128,194,196,195,195,194,192,146,151,154,158,163,168,174,178,181,205,204,167,157,184,206,176,149,124,113,102,95,141,196,195,195,194,193,192,145,150,153,156,161,168,173,175,178,199,188,163,166,179,203,176,158,131,105,100,95,151,196,195,195,194,192,191,145,150,152,156,162,168,173,176,178,192,177,177,173,172,201,173,150,131,106,100,99,159,197,195,195,194,193,192,144,150,152,156,163,169,174,177,180,186,182,196,173,174,192,162,135,118,105,99,101,169,198,196,195,194,194,193,144,150,152,156,162,169,174,177,180,183,187,190,165,160,178,152,123,108,101,95,101,176,197,196,196,194,194,194
22,119,125,129,133,138,143,148,151,154,157,159,160,161,162,163,163,162,161,161,160,160,159,158,158,157,156,155,153,121,127,131,134,140,146,149,151,154,157,159,160,163,164,164,164,164,164,163,162,161,160,159,159,158,158,156,155,123,129,131,135,142,148,150,153,156,157,160,163,164,164,164,164,164,164,164,164,163,161,161,160,159,159,157,157,124,129,132,137,143,148,152,155,157,159,160,164,164,166,167,196,129,155,165,164,168,169,147,162,161,160,159,157,125,130,134,138,145,150,153,156,161,200,129,158,167,167,172,206,114,143,168,163,188,164,119,165,162,160,160,159,127,131,133,139,146,152,155,158,164,209,124,151,170,168,177,199,119,141,171,165,196,143,121,167,163,162,161,160,128,132,134,141,147,153,157,160,161,206,142,141,172,168,183,203,130,144,172,173,195,133,124,169,164,163,162,161,128,133,137,143,149,154,158,161,161,214,171,134,174,170,187,203,134,146,172,188,202,129,138,170,167,165,165,162,129,135,138,144,151,155,158,163,161,210,194,132,172,172,191,195,135,144,173,206,196,124,150,170,167,167,166,164,130,136,140,145,151,157,160,165,163,203,207,132,163,173,196,198,137,141,180,215,179,112,159,172,168,168,167,166,131,137,141,146,152,159,163,166,164,194,223,160,148,176,202,205,138,144,201,216,158,107,168,172,170,169,167,166,133,138,142,148,154,160,164,165,181,195,172,164,138,179,202,198,132,160,225,205,139,123,176,174,171,170,169,167,134,139,143,150,157,161,166,166,220,225,192,159,111,164,189,185,172,196,218,192,119,149,178,174,173,171,171,170,135,140,144,151,158,163,168,171,227,237,218,170,105,107,159,177,196,193,184,157,113,173,179,176,175,174,172,171,136,141,145,153,160,165,169,177,220,209,197,204,158,116,113,139,173,176,164,118,126,183,179,178,177,175,174,172,136,141,145,154,161,165,169,181,230,205,181,215,214,164,109,94,136,161,150,105,136,185,180,180,178,178,175,173,137,142,146,154,162,166,168,193,235,192,168,168,218,201,152,98,96,132,140,107,151,186,182,181,180,180,178,175,137,142,147,155,164,168,169,205,232,189,148,124,171,210,192,145,94,95,112,100,170,187,184,183,182,181,179,177,138,143,146,155,163,169,170,214,238,191,141,158,147,204,219,189,139,90,85,102,183,187,185,184,182,182,181,179,138,142,146,155,163,168,169,215,233,195,136,171,169,223,223,205,172,125,87,109,190,186,185,184,182,182,180,178,138,142,146,156,164,169,170,214,234,187,146,173,196,237,226,204,183,133,84,118,193,187,186,186,184,182,181,180,138,142,148,157,165,171,171,212,238,177,165,166,219,242,229,199,163,120,84,131,194,189,188,186,185,184,182,181,137,142,148,157,164,171,173,207,237,177,181,164,233,239,224,199,145,105,87,152,194,190,189,185,185,184,182,181,137,142,147,155,164,171,174,201,236,187,191,167,240,232,219,188,136,100,92,176,196,193,191,189,189,187,185,184,122,125,128,131,133,136,135,157,235,206,199,176,234,220,204,167,124,100,95,133,136,134,134,134,134,133,128,123,103,103,103,104,103,101,101,114,229,213,197,171,217,204,174,145,115,101,95,94,92,91,91,89,88,82,90,140,109,108,109,110,108,109,109,116,218,199,181,165,185,183,153,133,120,106,97,100,99,98,96,98,99,125,190,198,109,110,110,110,109,109,109,108,194,177,163,155,159,169,158,134,123,108,100,101,100,100,98,95,143,207,200,175
7,157,157,158,158,158,158,158,158,157,157,157,157,155,155,155,154,153,151,150,150,149,150,137,68,55,46,48,70,159,160,159,160,161,161,160,161,160,160,159,158,157,157,157,156,156,152,151,152,151,149,156,89,47,33,42,58,161,161,161,163,164,163,162,163,162,163,162,161,160,159,158,158,157,155,155,154,153,152,158,114,30,22,40,46,163,164,166,165,166,166,165,164,164,164,163,163,163,162,159,159,159,158,157,156,155,154,154,147,38,10,28,41,164,166,167,167,167,167,166,166,166,166,166,166,165,167,164,162,161,161,159,158,158,155,154,158,111,54,34,54,165,166,168,169,169,168,168,169,169,169,167,166,166,153,152,158,155,149,142,147,137,154,152,153,114,115,129,116,168,170,171,172,172,171,171,171,169,169,168,170,170,148,135,157,164,148,135,138,123,165,149,136,74,137,158,144,171,172,173,173,173,173,174,174,174,180,186,185,173,151,145,150,137,137,120,119,113,111,110,144,99,151,109,129,171,173,174,175,175,171,169,179,190,193,191,181,170,160,160,151,111,110,138,124,119,108,105,108,97,122,95,159,173,176,177,176,192,183,171,174,182,180,176,172,171,171,164,145,126,119,137,134,127,128,112,88,91,126,107,161,174,177,175,190,208,192,179,171,176,179,177,176,174,169,167,142,128,119,110,101,98,96,84,78,71,83,110,150,175,177,177,206,208,192,163,154,165,178,177,174,164,150,138,117,105,95,88,95,100,108,107,114,125,133,156,164,179,177,187,214,203,183,149,152,163,153,147,137,125,116,104,89,85,152,175,166,171,173,170,172,169,169,153,97,181,177,204,211,198,178,166,162,148,138,143,146,140,135,130,138,114,78,156,178,172,170,168,167,164,163,165,103,178,186,216,207,204,201,199,171,147,153,154,152,142,131,128,124,108,48,36,162,177,171,170,169,167,164,166,150,174,203,215,210,209,209,206,165,131,144,142,137,129,123,115,104,87,58,18,133,183,171,171,170,168,166,164,165,190,216,214,211,208,204,192,156,137,124,100,85,95,111,121,128,131,67,48,163,177,173,174,172,171,168,166,163,213,217,215,212,206,197,183,164,145,127,106,106,139,158,144,131,145,92,155,182,174,175,175,173,171,169,166,164,214,216,215,210,199,191,174,151,150,152,130,139,151,139,128,119,114,79,171,182,177,177,175,174,171,170,169,166,215,215,212,208,194,173,148,155,173,161,137,137,133,125,118,111,83,70,180,181,180,178,175,175,174,172,170,168,217,213,209,202,182,167,170,187,184,166,142,116,101,87,74,60,62,139,187,180,182,179,177,176,174,173,170,168,213,207,200,190,182,183,186,181,172,147,118,86,84,99,69,116,165,187,183,183,182,181,179,176,174,173,170,169,205,197,191,189,189,189,173,162,158,139,108,86,162,193,183,193,190,185,185,183,182,181,180,178,175,174,172,171,193,191,193,186,182,180,165,160,150,114,79,163,199,188,191,187,186,187,186,184,182,181,181,179,177,175,173,170,185,181,186,180,170,165,160,145,112,72,150,200,189,190,188,188,187,188,187,185,185,183,182,180,178,175,174,166,184,178,173,162,152,150,138,111,68,137,200,189,190,189,189,188,187,187,185,182,182,182,181,179,177,180,175,154,179,171,158,140,132,123,96,70,139,199,192,192,191,190,189,188,187,187,185,183,183,181,181,177,179,157,150,166,158,145,127,110,100,84,66,142,203,191,193,193,193,191,189,188,187,187,185,185,184,182,181,180,171,65,44,111
4,157,158,158,159,160,158,158,158,159,157,156,157,157,155,153,154,156,156,152,151,151,149,150,149,148,146,145,144,159,159,160,161,161,162,160,160,161,158,157,159,157,161,163,153,140,143,155,153,152,152,151,150,149,148,147,147,161,162,163,163,164,164,163,161,160,164,173,171,151,131,164,189,158,110,101,164,157,155,151,151,151,149,149,148,164,165,166,165,165,166,162,165,169,135,164,182,155,99,74,157,155,103,57,106,134,140,158,154,152,150,151,149,165,165,166,167,167,161,178,191,158,109,74,156,136,87,48,110,128,79,57,43,90,84,100,159,152,151,151,151,166,167,165,168,167,166,204,197,145,108,54,138,128,85,42,88,114,80,52,53,85,66,47,151,157,154,152,152,168,168,167,170,167,177,199,192,156,167,77,100,159,136,40,67,140,117,57,68,94,65,47,147,159,156,154,153,168,169,169,171,169,177,204,171,179,195,101,72,186,142,43,51,157,123,54,74,137,98,62,150,160,157,155,154,169,171,170,172,171,171,205,184,171,143,80,58,130,105,55,50,94,102,27,70,172,112,81,161,159,158,156,156,171,172,172,173,171,176,217,208,181,147,111,90,62,58,63,82,131,139,68,61,124,88,111,168,160,158,158,157,173,172,174,177,169,193,223,195,165,149,129,117,101,114,121,139,175,132,92,68,65,42,143,168,162,160,159,158,174,175,174,178,170,205,211,172,140,116,127,188,155,162,178,146,156,120,111,80,66,59,154,166,163,162,162,160,175,177,177,178,173,214,210,175,149,122,120,181,156,159,169,158,141,137,134,94,54,50,150,168,161,163,162,159,176,179,179,177,180,223,211,181,153,127,104,120,130,126,141,123,117,164,155,110,66,43,145,172,163,164,163,162,179,180,181,176,189,225,204,182,150,112,100,89,72,76,118,83,101,175,168,119,81,46,134,176,165,165,164,164,181,182,182,177,198,223,205,182,138,111,112,105,85,109,177,172,132,173,181,118,91,47,124,178,165,165,164,163,182,182,184,177,202,221,206,179,136,117,125,107,90,181,205,188,174,151,169,126,100,58,106,181,166,167,166,165,183,183,185,179,207,221,197,155,135,135,126,95,149,212,206,190,165,156,133,117,97,63,116,180,168,169,166,165,185,185,186,181,211,217,185,153,163,136,109,111,205,213,207,185,155,139,121,94,85,57,153,175,170,169,167,166,186,186,184,191,219,211,182,170,168,130,96,160,218,207,192,172,149,126,111,88,65,70,176,171,172,170,167,167,186,185,196,142,203,214,181,172,173,121,132,189,215,194,177,162,144,118,96,80,42,125,182,172,172,171,169,168,187,194,175,56,91,196,190,176,166,111,144,187,202,179,167,155,130,104,86,60,66,177,175,174,175,172,171,169,192,188,83,61,52,74,155,172,140,105,125,181,183,164,151,139,116,91,73,43,143,185,176,177,177,174,173,171,202,113,53,63,63,51,60,104,106,88,112,150,162,146,133,119,99,79,44,92,189,177,178,178,177,176,174,172,139,64,70,56,51,58,53,46,51,76,102,121,138,125,113,94,80,50,56,179,184,179,180,179,177,176,174,172,66,66,65,53,51,51,50,56,36,41,70,90,107,90,76,69,52,42,157,190,181,183,183,181,179,177,176,174,69,64,53,52,48,49,47,50,48,8,23,35,50,50,37,32,39,148,194,181,184,184,184,181,179,178,177,176,63,57,51,51,45,45,42,43,55,23,2,18,17,18,20,0,90,204,183,186,186,184,184,183,181,178,178,176
21,149,150,154,159,163,166,169,171,173,174,176,178,179,179,178,179,179,178,176,176,176,175,174,173,172,172,170,168,150,151,155,160,165,167,170,172,174,176,179,179,180,180,179,180,178,178,180,177,177,176,176,174,173,173,172,170,152,153,157,162,166,169,172,173,176,178,179,181,181,181,182,180,191,171,161,182,178,178,178,177,175,174,173,171,153,155,159,164,167,170,173,175,177,179,181,183,183,183,184,179,208,176,133,185,179,179,178,177,177,176,175,173,154,156,160,165,169,172,175,177,179,180,182,184,184,184,185,179,210,173,130,183,180,180,179,179,174,176,176,175,155,157,161,166,171,173,175,178,179,181,183,185,186,184,185,181,216,173,129,182,182,182,180,199,151,158,181,176,156,159,162,168,172,174,177,179,180,182,184,185,185,185,186,183,221,180,135,182,184,182,186,203,133,158,182,177,157,160,165,170,173,176,179,179,182,184,186,186,186,187,188,184,225,180,140,182,186,180,198,192,129,168,182,178,157,159,165,170,173,177,179,181,184,186,187,188,188,188,188,187,226,175,143,183,187,183,210,177,133,176,181,179,159,160,166,171,174,178,181,183,184,186,188,189,189,188,186,194,235,178,144,181,187,189,220,170,141,184,181,180,159,162,167,172,176,179,182,185,185,187,189,191,188,202,198,182,225,193,149,183,185,204,219,158,151,188,182,181,160,163,168,173,177,180,183,185,187,189,190,189,193,240,214,168,153,183,151,186,187,224,207,144,160,190,183,183,162,164,170,175,178,182,185,186,188,189,195,215,185,211,230,182,124,138,154,187,202,227,188,135,174,189,184,184,162,165,171,177,181,184,187,189,191,186,218,242,195,160,221,180,124,117,151,190,210,211,166,142,189,186,185,184,162,166,172,178,182,185,187,190,192,190,231,248,221,150,182,189,129,110,131,169,190,194,148,162,193,187,186,185,164,167,173,178,183,185,189,191,192,198,229,218,227,145,158,215,166,119,111,136,159,163,140,185,192,188,187,186,165,168,175,180,184,187,190,193,192,204,236,210,216,173,137,217,205,151,110,125,150,135,146,197,190,190,189,187,165,169,177,181,184,188,190,194,191,221,244,207,193,188,128,181,212,181,131,107,133,123,154,199,191,191,191,189,166,169,176,182,186,189,191,196,192,232,232,188,167,153,141,149,205,206,168,115,114,118,166,199,193,193,191,190,167,170,177,183,187,190,193,197,194,236,232,187,160,161,169,171,202,226,197,147,112,117,184,199,195,194,193,192,167,172,178,183,188,191,195,198,196,238,232,187,159,174,180,217,221,226,216,175,126,127,199,197,196,197,195,192,166,171,179,184,188,191,195,198,198,239,232,189,163,185,194,235,228,220,209,190,146,138,204,198,198,197,195,193,165,170,178,183,187,191,195,199,198,239,234,186,175,185,207,243,233,220,193,176,146,140,205,198,198,197,196,194,166,171,178,184,189,192,196,200,199,238,236,185,195,182,222,249,235,215,194,154,127,146,206,199,199,197,197,195,166,172,179,185,190,193,197,201,200,234,233,197,211,181,227,250,231,212,188,147,119,164,208,200,200,198,197,195,167,172,179,184,189,193,197,201,198,227,233,216,216,180,221,246,221,201,172,142,124,187,205,200,200,199,197,195,165,172,179,186,191,194,198,203,201,220,238,226,214,179,212,235,203,181,155,131,138,208,205,204,203,202,201,196,161,165,169,172,175,177,179,182,181,194,237,222,207,176,193,221,187,162,146,129,143,181,177,177,175,175,172,180
19,142,144,147,150,151,154,155,156,157,157,158,158,158,160,161,161,161,162,161,161,162,160,162,162,161,160,160,159,145,147,151,154,155,157,159,159,160,161,160,161,162,164,165,165,164,164,164,165,165,164,165,165,164,164,164,162,149,151,155,158,160,161,162,164,164,165,165,165,165,166,169,167,167,168,168,168,168,167,167,167,166,167,166,165,153,155,159,162,163,164,165,167,167,168,168,171,165,130,143,174,170,171,172,172,172,171,171,171,170,170,168,167,155,158,162,164,165,167,167,169,170,171,170,182,171,128,97,174,175,175,174,174,174,173,174,175,174,174,173,172,158,161,164,167,169,171,171,172,173,173,174,186,176,136,80,161,182,181,180,178,178,178,177,178,177,177,176,175,161,165,167,170,172,174,175,176,177,178,178,186,177,135,84,144,160,160,176,177,178,181,183,182,181,180,179,178,165,168,170,172,174,175,177,179,182,183,182,184,170,154,160,167,147,118,141,143,139,148,154,174,173,180,181,179,167,170,173,175,177,179,180,182,179,176,176,174,175,175,169,157,141,111,123,145,143,140,129,149,136,166,186,183,170,173,175,178,180,181,183,177,152,151,158,161,161,156,153,155,147,110,92,113,120,116,111,113,140,182,187,185,172,175,177,180,182,184,187,167,144,141,141,146,151,156,154,154,145,99,154,178,175,168,170,177,189,190,188,187,173,176,180,182,184,185,191,165,160,145,131,133,139,143,140,136,132,104,164,199,195,196,196,195,193,193,190,189,176,179,181,184,187,187,187,188,183,148,123,128,133,143,149,143,132,110,126,201,195,195,195,196,195,194,193,192,178,181,183,186,188,189,185,191,193,167,140,115,116,127,132,123,115,95,130,202,196,197,196,197,196,195,195,194,179,182,186,188,189,191,188,182,191,194,155,123,120,128,129,116,103,85,161,205,201,201,200,199,199,197,195,195,180,183,187,190,192,192,187,190,191,180,143,131,127,124,116,99,89,81,180,205,204,202,200,201,200,199,198,199,183,185,189,192,194,193,189,196,192,171,145,129,131,109,80,58,70,98,201,203,204,204,202,202,202,201,200,200,184,187,191,193,196,194,190,196,187,161,133,134,152,97,56,45,69,143,208,203,204,205,204,203,202,202,200,200,186,189,193,195,198,198,188,193,184,156,131,147,140,82,48,55,113,199,205,204,205,206,206,205,204,203,202,202,187,191,195,197,199,200,187,187,179,149,135,156,127,84,62,57,163,212,206,207,207,206,207,206,205,205,204,203,189,192,195,198,200,201,182,177,171,151,157,162,121,82,72,69,187,211,208,209,208,208,208,208,207,207,206,206,190,193,196,198,201,202,181,173,172,163,166,153,110,78,71,99,211,208,210,210,210,209,209,209,208,208,207,207,191,194,196,199,201,202,174,175,174,164,158,133,98,76,72,150,217,209,210,210,211,211,210,210,209,209,209,208,193,195,198,201,202,202,172,178,168,150,140,113,90,78,91,200,213,211,210,212,213,212,212,212,212,212,211,210,194,196,198,202,204,202,173,179,166,143,123,94,86,78,144,219,213,213,213,214,213,214,213,213,213,213,213,211,195,198,199,202,206,200,176,194,173,142,112,85,79,69,173,218,214,214,214,215,215,214,214,213,213,214,214,212,195,198,201,202,207,193,181,192,162,131,102,83,71,90,209,216,214,214,215,216,216,215,215,214,214,213,214,213,193,195,200,203,207,183,184,179,138,116,98,86,64,132,222,214,214,214,215,215,215,215,215,214,214,215,215,213
13,196,197,199,202,203,204,205,206,207,208,208,207,207,208,208,207,205,204,203,202,202,201,198,196,195,192,191,190,196,198,200,204,205,207,207,208,209,210,211,212,216,209,210,213,213,206,205,204,202,202,201,199,198,195,193,191,198,200,202,205,208,209,209,210,210,211,196,163,172,219,194,160,171,212,207,206,205,203,203,201,199,199,196,194,199,202,204,206,209,209,210,214,212,217,195,157,123,161,170,137,86,177,219,207,207,206,205,203,200,199,198,195,200,203,206,208,209,211,213,215,212,226,221,177,149,90,160,156,97,127,225,208,209,208,206,204,202,200,199,197,200,205,207,209,210,212,214,215,214,217,224,180,142,86,129,148,96,107,222,211,211,209,207,205,204,202,200,198,201,206,209,211,213,214,215,216,221,222,212,177,133,90,98,121,82,97,221,211,212,209,208,207,207,205,202,199,203,206,209,212,214,215,217,215,202,207,195,175,137,105,93,134,84,109,224,212,213,212,211,209,209,207,204,201,204,207,209,213,215,217,217,200,145,121,130,179,179,123,104,144,97,116,229,213,215,214,212,209,208,207,205,203,205,209,211,214,217,217,230,198,145,128,102,177,196,135,92,128,93,73,199,222,215,215,213,211,210,208,207,204,207,210,212,215,215,208,168,173,168,153,109,88,139,98,83,95,93,87,128,227,215,216,214,213,212,209,207,205,208,210,214,212,223,199,130,113,180,158,137,66,37,45,76,99,115,128,91,186,226,214,215,213,213,211,208,206,208,211,212,224,232,179,145,120,148,171,138,107,43,74,81,120,144,142,98,126,232,216,216,215,213,211,210,208,209,212,214,231,187,177,165,145,113,161,148,124,59,87,153,166,149,127,102,109,229,217,215,215,215,212,210,208,208,211,215,233,183,151,160,139,113,130,135,96,57,101,171,181,159,119,85,127,233,218,218,218,216,214,212,208,210,211,220,219,184,136,126,126,94,70,100,88,66,129,181,172,157,118,69,161,235,219,218,216,215,215,211,209,210,213,217,220,209,176,129,96,70,55,96,103,105,188,192,164,147,110,71,198,231,221,219,217,215,215,213,209,211,214,216,218,214,189,158,137,116,113,126,126,180,212,182,153,133,101,89,224,224,222,221,218,216,215,213,211,212,216,217,217,211,195,170,144,123,126,169,204,206,194,171,145,124,84,115,238,223,224,221,218,217,214,213,213,212,216,218,220,198,182,167,142,126,128,159,202,195,180,155,133,116,70,148,240,224,225,222,219,216,215,214,214,211,214,219,221,191,180,169,148,141,133,149,191,194,176,145,118,104,63,190,237,226,224,223,220,217,216,216,214,212,215,217,224,208,180,171,157,147,132,141,182,184,162,129,105,77,92,233,227,226,225,223,222,218,216,216,214,211,215,217,222,224,187,171,161,144,130,128,160,168,144,113,97,58,169,241,227,228,226,223,222,219,218,217,215,212,215,219,222,226,219,180,156,138,131,127,145,160,138,112,86,80,227,230,229,227,226,224,222,220,219,218,215,212,216,220,224,225,225,197,166,145,137,143,144,155,139,109,75,136,244,227,229,228,228,225,222,222,221,218,215,212,216,219,222,223,219,206,177,170,167,162,152,155,134,100,75,184,239,227,227,226,226,224,222,221,219,217,214,210,214,217,222,222,209,215,191,183,175,164,160,146,122,94,81,215,232,228,225,224,224,222,219,218,216,214,213,210,214,217,221,221,206,223,196,185,184,164,149,126,117,84,95,231,228,228,226,225,225,223,221,219,216,214,213
10,77,83,88,86,70,54,65,32,23,54,53,61,64,77,90,95,100,107,111,116,122,126,127,131,132,134,137,138,84,91,96,88,77,57,75,26,32,55,56,57,85,119,88,98,101,109,113,118,122,126,128,132,133,135,136,138,94,100,106,91,83,59,83,20,39,55,59,51,126,146,73,98,105,112,116,120,124,127,131,133,135,136,138,138,103,110,114,95,88,63,87,15,46,55,60,55,113,154,75,87,113,114,119,122,126,130,135,136,137,138,138,139,112,119,120,98,90,71,87,12,52,56,60,60,91,154,93,73,117,120,124,128,131,136,139,142,143,143,143,143,120,129,126,103,91,80,81,13,58,57,61,65,77,152,123,71,114,127,130,133,138,144,146,148,148,149,149,149,127,137,129,109,90,91,73,17,62,58,63,67,74,143,143,78,103,136,134,140,145,150,152,154,155,154,155,155,133,143,131,115,88,103,63,24,62,59,64,69,78,130,154,88,88,142,140,146,150,155,158,160,160,160,161,161,138,149,130,120,86,113,50,32,64,60,64,70,81,129,172,105,81,146,146,151,156,161,163,167,167,168,167,168,143,153,131,124,86,121,41,37,61,62,65,71,85,132,170,113,80,149,153,157,162,165,168,171,172,173,173,172,148,155,132,128,87,125,25,67,70,61,64,73,88,130,157,113,75,145,158,161,167,171,174,176,178,178,178,178,151,158,133,127,91,115,77,119,64,71,83,73,94,138,139,118,72,139,165,165,171,176,179,181,181,182,182,183,155,157,134,124,95,111,109,112,60,54,56,61,89,146,125,146,67,128,171,168,175,180,183,185,185,185,185,186,158,158,138,120,100,134,82,102,87,60,49,41,46,75,101,121,63,113,176,171,178,183,186,188,188,188,189,190,160,157,141,115,108,108,52,59,105,92,72,42,26,54,79,89,72,91,177,176,181,185,187,190,190,190,191,192,162,154,148,112,118,93,49,98,120,106,71,44,35,42,59,72,70,74,174,179,184,188,191,191,192,193,194,194,165,153,151,106,134,66,77,167,142,103,76,55,48,44,52,59,63,72,175,182,185,190,193,194,195,196,196,197,166,154,152,101,140,52,88,169,138,89,96,77,54,49,48,54,56,75,180,184,188,192,195,196,197,198,199,199,168,154,152,99,146,43,54,182,172,76,67,95,74,61,45,47,53,84,185,184,190,195,197,198,199,199,200,201,167,156,154,100,149,33,58,181,179,69,99,98,95,73,49,48,46,98,189,184,191,195,198,199,200,201,202,202,166,157,155,103,155,26,56,166,127,88,158,119,95,88,57,51,42,105,192,184,191,196,199,200,202,203,205,204,166,160,151,107,152,22,52,150,167,132,163,140,104,92,71,58,46,114,191,185,191,195,199,200,201,203,204,203,168,166,145,115,145,18,54,121,170,146,155,142,129,98,74,63,47,119,191,185,191,194,198,200,201,202,204,204,169,168,138,126,132,8,60,73,158,171,155,152,128,105,81,66,48,113,190,184,190,194,197,200,201,201,203,204,168,170,130,132,130,42,82,65,149,172,151,167,122,103,77,68,53,127,196,192,198,202,205,207,209,210,211,214,160,171,126,132,157,98,93,90,121,170,148,159,121,94,78,74,56,104,136,139,143,147,153,156,159,162,166,164,165,170,122,140,151,85,84,89,88,153,146,135,127,108,97,77,52,79,97,95,95,97,96,97,97,97,97,61,168,166,118,147,147,90,89,93,89,116,125,117,128,133,123,79,46,51,105,102,106,108,107,105,104,110,83,51
22,132,141,145,149,157,164,168,173,176,179,182,183,187,188,187,188,188,188,186,186,186,185,183,182,180,178,177,177,134,142,147,150,159,164,170,173,178,180,182,189,189,190,190,191,188,191,194,189,188,188,186,184,182,181,180,179,136,145,149,154,160,166,173,177,179,201,167,144,196,190,193,191,195,174,165,195,189,189,187,189,189,183,182,180,137,147,151,155,161,169,175,179,178,222,173,103,195,193,195,192,207,157,98,193,192,190,193,171,167,189,184,182,139,148,152,157,164,170,176,181,180,227,185,102,193,196,196,198,202,142,96,200,193,194,198,136,99,191,186,184,141,149,154,159,166,172,178,184,180,224,197,108,188,201,198,200,194,124,121,207,191,200,194,124,110,198,187,187,141,151,154,159,168,175,181,185,181,229,217,119,175,206,198,192,185,107,151,207,198,207,172,91,158,201,189,188,142,152,156,161,169,177,182,187,183,227,213,119,163,211,198,186,167,91,173,204,214,208,143,104,199,193,191,190,144,154,157,163,170,179,184,190,185,225,211,119,144,214,197,197,173,88,189,209,206,175,113,151,206,194,194,193,146,156,159,165,173,180,185,190,189,218,231,154,132,212,195,198,150,101,215,230,204,134,95,196,199,198,195,194,148,157,159,165,174,181,186,191,194,207,232,158,114,209,174,175,99,124,242,228,194,105,135,213,198,199,197,197,149,157,160,167,176,184,190,193,196,199,231,143,75,162,156,174,160,198,227,204,160,86,191,208,202,200,198,197,150,158,162,168,177,184,190,193,207,174,177,131,100,168,182,182,211,211,205,174,97,124,216,203,204,202,199,199,151,159,162,169,176,185,191,198,218,174,150,135,146,148,163,191,197,197,193,132,85,198,210,205,205,204,201,199,153,161,163,171,180,190,190,210,225,188,198,182,171,108,76,155,177,190,158,94,133,225,207,208,207,206,203,202,154,162,165,172,182,189,191,217,241,198,181,185,172,147,108,71,120,134,104,77,162,224,209,208,208,207,204,204,154,162,165,174,183,189,191,231,231,186,118,110,163,175,154,110,66,77,84,71,194,220,213,211,210,209,206,204,155,162,166,174,185,190,194,237,231,186,117,62,109,184,172,146,107,77,66,70,208,218,216,213,212,210,207,206,155,163,167,176,184,191,194,240,254,191,200,95,134,222,189,153,132,105,56,49,197,223,215,214,212,211,209,207,157,163,167,177,184,193,196,242,251,191,180,101,189,242,199,160,139,107,53,41,195,225,214,214,213,212,212,209,158,163,167,175,184,193,194,241,254,192,165,175,235,207,196,154,123,95,46,61,216,220,215,214,215,214,212,209,156,163,166,174,184,193,191,233,246,211,172,203,246,187,173,175,116,87,36,102,232,214,215,214,213,214,212,208,156,163,166,176,185,194,194,225,243,222,174,210,237,188,169,169,130,74,30,144,233,214,216,214,214,214,212,209,158,163,167,176,186,195,196,217,236,226,178,191,223,183,163,154,112,61,34,185,228,218,219,215,215,215,213,211,156,163,167,176,185,193,200,195,235,217,179,159,188,155,133,119,78,39,68,224,218,218,217,213,212,211,211,210,158,165,169,179,189,198,205,65,156,216,136,124,141,140,114,85,64,40,158,241,227,227,225,222,220,221,220,217,131,135,137,141,144,153,124,40,42,124,130,138,144,158,133,87,63,54,148,158,154,153,155,155,155,155,154,154,105,105,104,106,106,98,52,45,45,37,107,140,139,149,130,79,40,27,92,93,90,89,88,88,86,86,74,55
6,149,149,149,149,150,149,150,149,148,149,149,148,147,147,145,144,144,143,142,141,140,138,137,137,136,134,132,130,152,152,152,153,153,152,152,152,151,151,151,150,149,147,147,146,145,144,144,142,142,141,139,138,137,136,135,133,154,155,155,154,154,155,155,154,154,153,154,153,152,151,150,148,148,147,146,145,144,142,141,140,140,138,136,135,156,156,155,155,156,156,156,156,155,155,156,154,154,154,153,151,150,149,148,146,145,145,144,142,142,141,138,136,158,158,158,158,158,159,158,158,158,157,157,158,156,155,154,153,152,151,150,149,148,147,146,144,143,143,141,139,159,159,160,159,159,160,160,159,159,160,159,158,158,157,156,155,154,153,152,151,150,148,148,147,145,143,142,141,160,160,161,161,161,161,161,161,161,161,160,160,159,159,158,156,156,154,154,153,151,150,149,148,147,145,143,142,162,162,162,162,163,163,163,163,163,163,162,162,161,159,158,158,157,157,158,157,156,154,153,152,150,146,146,145,163,163,164,164,164,164,164,165,165,164,165,165,164,165,164,162,160,155,149,144,139,140,137,127,128,137,133,145,164,163,164,164,164,165,166,165,168,167,163,157,152,150,142,134,127,125,109,104,112,117,111,103,133,161,125,131,165,165,165,166,165,165,166,168,158,136,120,118,115,119,120,117,114,113,106,102,115,102,102,99,99,111,103,137,166,167,166,167,166,168,164,150,136,125,108,110,115,118,123,118,112,90,86,77,74,76,89,92,97,117,138,151,168,168,168,168,170,157,139,136,135,121,95,78,87,87,80,80,81,76,84,108,131,144,152,156,160,160,155,151,168,168,169,171,152,131,133,134,129,118,102,72,53,34,112,156,161,161,163,169,167,163,161,159,155,154,154,153,169,170,172,152,129,133,136,135,136,136,125,86,50,43,67,98,125,163,166,163,163,161,160,159,158,157,155,155,172,169,149,136,138,140,142,141,140,139,105,59,45,48,44,40,34,69,167,165,164,164,162,161,160,158,157,155,159,138,135,144,143,142,145,133,131,126,75,46,40,43,50,53,53,35,125,174,164,165,164,161,160,159,157,155,135,135,144,146,143,142,136,125,130,127,106,83,46,31,41,44,48,27,83,176,164,165,164,162,160,160,158,156,138,140,143,146,147,140,127,128,133,132,136,107,58,40,41,35,42,89,153,168,165,164,164,163,161,160,159,157,140,141,146,149,142,130,124,127,124,125,122,82,47,42,44,42,48,172,173,166,167,165,164,164,162,161,159,158,141,143,144,139,131,126,125,124,117,111,104,73,38,32,41,37,55,166,168,167,167,165,164,163,161,160,160,158,141,139,129,125,129,127,122,116,106,104,111,101,56,34,36,46,151,172,167,165,165,164,164,162,160,158,157,157,131,123,120,125,122,111,103,99,103,112,124,113,61,45,44,47,168,170,167,165,164,164,164,161,163,166,163,155,125,123,124,116,106,99,101,104,108,109,111,83,47,38,29,80,172,168,167,166,169,167,167,170,151,127,99,71,121,119,112,104,103,102,101,91,84,78,66,38,51,80,107,169,171,175,176,170,155,155,154,133,70,46,34,38,109,99,81,82,95,97,89,72,57,48,53,100,166,181,183,176,174,131,110,83,54,60,53,44,37,47,37,30,73,58,41,51,68,69,61,52,55,87,127,152,155,152,154,156,114,56,53,37,24,37,27,32,30,29,37,20,55,36,46,71,76,73,71,72,79,84,84,79,77,79,78,66,50,48,41,44,20,29,28,24,26,24,27,21
11,190,190,189,189,189,188,189,189,186,188,186,184,184,183,182,181,179,178,177,176,174,172,172,171,169,168,166,168,193,192,192,193,192,192,192,191,194,167,185,188,186,186,185,184,182,181,179,179,177,175,174,173,171,170,173,157,196,196,196,196,196,196,196,194,203,154,151,198,190,189,188,186,185,184,183,181,180,178,176,173,174,173,126,77,200,200,200,199,199,200,199,199,196,180,125,183,197,192,191,190,188,186,185,183,182,181,179,177,173,111,61,61,203,203,203,203,203,203,202,202,199,192,135,152,204,194,195,193,192,190,188,187,186,184,181,185,132,76,70,71,207,206,206,206,206,205,205,204,202,192,145,132,206,197,198,196,195,192,192,190,189,186,186,178,93,88,82,69,208,209,209,209,208,208,208,207,206,197,174,122,195,205,200,198,198,196,195,193,192,189,192,169,83,88,81,77,211,211,211,210,211,210,211,211,208,211,187,119,178,211,202,202,201,198,197,196,194,190,195,165,84,80,67,72,214,215,214,213,213,213,213,213,210,212,195,122,162,216,203,204,203,201,199,198,197,193,199,152,75,81,64,76,216,216,215,215,215,215,214,215,213,198,192,138,141,216,206,205,204,203,203,201,199,194,204,141,68,78,63,69,217,217,216,217,217,218,217,216,218,198,192,175,124,196,216,212,206,206,205,203,202,198,205,130,68,75,60,66,219,219,219,220,219,220,219,218,220,211,199,205,141,175,158,185,214,207,207,205,204,202,200,102,69,59,61,76,221,221,220,221,221,221,220,219,220,216,197,205,213,205,123,124,219,209,209,208,206,204,203,117,107,116,105,83,221,222,222,223,222,221,222,220,222,224,203,209,188,160,136,107,206,214,211,210,207,205,197,182,178,172,157,113,223,223,223,224,224,223,225,224,215,187,207,220,171,101,124,109,180,221,211,211,208,199,197,193,175,139,116,101,225,225,226,225,225,227,224,215,210,144,131,192,166,107,110,113,148,224,210,213,200,204,204,184,138,128,111,83,227,226,226,227,228,226,216,219,202,155,119,134,170,126,103,113,115,217,221,209,186,197,193,137,118,171,165,77,227,227,229,228,226,216,223,204,166,168,147,114,150,145,99,113,109,165,200,174,182,188,148,135,176,183,174,123,229,228,229,230,220,216,202,163,119,149,151,118,122,148,102,107,120,101,124,160,178,156,132,211,168,144,158,157,231,231,231,231,218,214,200,170,113,118,163,95,91,151,115,99,149,128,126,158,160,121,191,216,198,90,141,158,232,233,232,233,213,215,202,165,124,112,139,72,79,157,114,93,166,141,123,148,118,146,221,207,217,168,156,168,233,233,233,234,221,209,200,184,170,128,94,83,82,155,138,108,122,136,136,126,109,207,217,212,210,213,185,155,234,233,234,235,232,210,206,197,179,151,115,103,120,161,157,123,135,174,141,100,175,226,214,214,210,213,189,151,235,235,235,236,236,219,204,196,190,165,138,113,128,182,166,131,158,149,119,108,215,220,216,214,212,213,192,133,235,235,236,236,238,226,209,198,186,167,141,126,119,165,188,171,155,135,99,142,231,218,217,216,214,215,195,123,235,235,235,235,235,232,204,197,177,166,148,133,124,145,168,161,149,121,94,201,226,218,216,215,213,216,188,157,235,235,236,236,234,238,213,189,182,169,156,143,129,128,146,139,130,92,160,229,217,217,215,215,217,208,170,168,236,237,237,237,235,237,231,190,181,171,163,148,127,115,126,120,97,136,228,220,220,218,216,214,175,163,162,168
22,87,90,97,106,115,123,129,132,136,141,145,149,151,154,157,159,159,161,161,161,161,161,159,158,158,158,158,156,87,91,98,109,118,125,131,134,138,143,147,151,154,157,159,160,161,163,164,164,164,164,162,162,161,161,160,159,88,93,98,110,119,128,133,136,141,146,151,154,157,158,161,163,164,165,166,167,167,166,165,165,165,164,164,163,89,93,100,111,121,130,136,138,142,148,154,156,158,161,163,165,166,168,168,169,170,170,169,168,167,167,167,166,90,94,102,113,123,133,138,140,145,150,156,175,141,155,167,168,169,171,174,163,153,173,172,171,169,152,164,168,90,94,102,115,125,134,139,142,147,152,166,195,125,141,169,169,172,174,186,150,111,172,175,181,165,110,145,172,90,94,103,116,126,135,140,143,149,154,170,203,133,136,173,172,175,180,187,132,109,177,180,189,157,103,157,175,91,94,104,117,129,137,141,145,152,157,169,208,150,132,175,176,177,189,184,116,134,183,195,181,126,119,176,176,92,95,105,118,130,139,143,147,154,159,170,214,166,127,175,178,180,186,168,104,156,190,200,169,114,156,181,179,92,96,107,120,131,140,144,148,156,161,170,211,170,123,169,180,185,192,153,96,177,201,179,139,123,179,182,181,93,96,107,121,132,141,147,150,157,164,169,209,186,133,160,183,194,201,139,102,209,213,168,110,152,186,184,183,92,96,107,121,133,143,148,152,159,165,169,204,197,147,149,185,192,191,111,135,224,205,149,112,180,186,187,185,93,97,109,122,134,145,149,153,160,167,170,188,193,137,118,172,182,185,162,197,209,178,115,135,191,189,188,187,95,98,109,123,135,146,151,154,161,168,172,172,190,134,137,181,189,197,209,209,190,139,99,173,193,190,189,188,94,98,110,125,137,147,151,156,161,174,184,151,178,156,158,199,189,203,205,201,165,107,131,195,194,192,190,190,93,98,111,125,137,148,152,156,162,191,195,169,154,154,141,162,180,200,196,178,141,100,164,199,196,194,192,192,94,98,111,126,138,149,153,158,164,189,190,188,179,172,133,94,134,170,170,142,125,97,179,200,198,196,194,193,94,99,113,126,139,149,154,159,164,183,193,176,175,163,131,106,90,99,120,116,107,97,191,202,200,198,196,195,94,99,113,127,141,150,155,160,165,187,192,171,150,142,147,136,112,89,84,79,96,93,190,203,200,198,198,197,95,99,113,128,141,150,156,160,166,187,222,192,148,140,151,157,137,115,105,80,69,83,185,203,201,200,199,199,95,99,113,128,141,151,156,160,167,183,229,192,167,167,192,195,157,131,117,76,58,76,187,204,203,201,200,199,94,99,114,129,142,152,156,160,168,180,229,200,179,198,223,212,172,139,115,74,56,87,197,204,203,202,200,201,94,99,114,129,143,153,156,160,169,177,223,208,184,199,224,195,170,132,109,77,55,107,206,205,204,203,202,201,93,99,114,129,142,152,156,162,170,175,213,219,198,192,221,184,172,150,110,77,54,117,209,207,206,204,202,201,90,98,114,129,143,152,156,162,170,176,200,221,205,180,214,188,167,153,109,71,54,134,209,207,207,205,203,202,89,97,114,129,142,151,154,162,170,178,190,216,204,166,191,178,151,134,94,64,62,167,209,207,206,204,203,202,88,96,113,129,142,151,155,162,171,162,140,192,192,150,150,147,124,102,76,64,84,196,209,207,207,204,204,203,86,94,112,128,142,151,155,162,171,105,36,153,175,133,138,141,125,98,79,64,108,209,209,207,207,205,204,204
1,141,144,147,149,152,155,158,159,160,160,161,162,163,162,162,161,161,160,159,159,157,156,156,153,152,152,150,148,143,147,150,151,154,157,159,160,162,163,163,163,163,163,163,163,165,164,147,159,158,158,158,155,154,152,151,150,146,149,153,154,157,160,162,164,164,164,165,165,165,165,170,159,168,169,109,149,155,158,158,156,156,154,152,152,148,152,155,158,159,163,165,166,167,167,167,167,168,168,192,148,115,161,101,114,129,138,159,158,158,157,155,154,151,155,158,160,162,164,167,168,170,170,171,170,170,173,194,136,92,152,99,111,128,105,161,161,160,159,158,156,152,157,159,162,165,167,169,171,172,172,173,182,174,130,165,122,103,165,108,112,128,97,161,163,162,161,159,158,155,159,162,165,167,169,171,174,174,175,175,199,155,94,137,119,110,162,112,100,127,98,161,166,164,163,161,159,156,161,165,166,169,172,174,175,177,177,178,202,140,86,134,109,101,141,102,117,138,105,156,168,167,166,164,162,159,163,166,168,172,174,175,178,179,180,186,201,138,85,123,98,113,134,94,122,136,102,153,171,169,168,166,164,161,165,167,170,173,174,178,180,181,182,194,190,131,93,127,96,133,142,98,118,130,98,157,172,172,170,168,166,163,166,169,172,175,177,179,181,182,182,199,179,126,102,141,101,116,132,91,138,138,99,161,174,174,172,169,167,164,167,170,173,177,178,180,182,184,185,208,182,141,94,119,81,87,104,81,153,139,100,164,176,176,174,172,170,165,169,172,175,178,179,181,184,187,186,210,170,129,85,88,84,87,95,92,134,119,95,172,177,177,175,174,172,167,172,174,177,179,181,184,187,189,189,205,172,147,141,108,124,98,129,138,104,96,105,179,179,178,176,174,172,168,174,177,179,181,184,187,188,191,198,220,201,160,172,165,164,154,168,134,86,87,133,182,180,179,177,175,173,169,174,179,181,184,187,189,190,191,214,224,172,136,134,163,172,163,158,139,108,71,144,183,181,180,179,177,174,171,175,180,183,187,189,191,192,192,224,206,145,124,96,96,132,130,154,168,128,77,148,184,184,182,180,179,176,173,178,181,185,189,191,193,194,196,230,213,171,126,110,104,94,145,147,188,149,94,132,185,185,183,182,179,177,175,179,183,187,190,193,195,197,202,232,211,179,122,120,98,153,201,165,189,159,110,90,182,187,185,184,181,179,176,181,186,189,192,196,197,200,204,231,212,176,119,129,111,201,215,194,162,137,118,87,179,189,187,185,183,181,177,182,187,190,194,196,199,201,207,230,218,170,124,129,144,221,218,187,158,122,101,94,188,191,189,186,185,182,179,184,188,192,194,198,200,202,209,230,211,160,141,120,178,223,210,183,151,129,85,115,193,193,191,188,186,185,180,186,190,193,196,199,202,204,211,227,204,176,153,128,202,220,201,173,146,115,78,161,195,194,193,190,187,186,181,186,191,195,198,200,203,205,209,221,204,192,161,146,204,212,190,164,131,96,101,193,197,196,194,191,189,187,182,187,192,196,199,202,205,172,163,214,204,198,156,135,185,187,166,142,111,79,162,200,199,196,195,193,191,189,185,189,194,199,200,203,200,101,80,157,189,186,127,118,142,149,133,109,81,112,200,201,200,199,197,195,193,191,185,190,194,198,201,204,166,79,74,74,99,112,92,107,115,116,94,75,81,185,203,202,201,200,198,195,194,192,183,188,194,198,200,203,122,81,70,69,69,74,73,83,81,81,54,41,138,204,204,202,202,201,199,195,194,191
11,112,118,123,126,130,134,137,140,142,145,147,147,149,152,154,155,156,158,160,161,161,162,163,163,163,162,162,162,113,119,126,128,133,135,138,140,143,146,147,150,152,154,156,157,158,159,160,163,164,165,164,164,164,164,164,164,114,120,127,131,134,136,139,142,144,147,149,152,154,156,157,157,162,163,162,164,165,166,165,166,165,165,165,165,115,121,127,131,135,138,140,143,145,147,150,153,155,157,157,159,143,158,164,165,166,165,166,167,167,166,167,166,116,121,127,131,135,138,140,143,147,150,152,155,156,158,158,168,116,118,172,165,167,167,168,169,169,168,167,167,116,121,127,132,136,139,141,144,148,152,154,156,157,159,158,176,119,105,174,165,168,169,169,169,168,168,168,168,117,122,128,133,138,139,142,144,148,152,155,156,158,160,160,180,99,117,175,166,169,170,170,170,170,169,169,169,118,124,129,134,138,139,142,146,148,152,155,157,159,157,168,178,92,134,175,169,171,172,171,171,171,170,170,170,118,125,131,134,138,141,143,147,149,151,155,157,158,159,180,152,87,150,174,170,171,171,172,172,171,171,171,171,119,125,131,135,138,141,145,147,149,152,156,156,156,158,179,109,89,168,171,170,171,172,172,172,171,172,171,171,119,125,130,135,141,142,145,148,153,153,151,165,176,117,112,92,108,177,168,170,171,172,172,172,172,172,172,171,120,125,130,135,138,142,149,148,137,171,149,117,148,115,80,78,143,175,169,172,172,172,173,172,172,172,173,172,119,126,132,134,146,179,179,157,88,133,147,84,116,111,72,74,167,171,170,173,173,173,173,173,174,173,172,173,120,125,130,140,174,149,163,159,87,122,127,82,142,105,57,95,179,169,171,173,173,173,175,175,175,174,173,172,121,127,128,153,150,122,140,153,85,121,106,90,140,88,49,117,180,169,172,172,173,174,174,175,175,175,174,172,121,128,132,171,140,101,114,138,76,108,88,100,120,75,48,130,178,169,171,172,175,177,177,175,173,175,175,173,123,123,148,178,141,107,114,98,72,103,69,107,107,63,41,134,182,171,173,172,166,162,164,178,179,175,175,174,124,122,173,170,137,112,99,85,88,95,50,130,86,45,54,103,168,165,161,155,148,140,122,124,166,180,174,175,122,127,186,162,135,117,95,75,111,79,32,92,77,84,110,109,135,156,162,155,140,119,110,100,93,171,177,175,121,131,180,162,144,126,102,91,103,108,122,130,143,145,134,140,153,142,123,113,108,127,148,138,118,168,178,175,121,129,173,164,151,134,109,110,136,161,152,149,146,143,126,120,117,95,119,152,172,181,182,180,181,177,177,176,121,129,185,168,151,135,111,117,150,155,139,147,141,128,97,84,104,151,181,180,177,175,176,176,177,178,177,177,119,139,192,153,140,120,110,119,141,140,140,137,120,85,75,129,173,179,174,175,176,176,178,178,178,178,178,178,114,153,170,128,126,117,118,122,122,128,129,106,71,87,153,177,172,173,174,175,175,176,177,178,177,178,179,177,112,160,164,132,126,135,124,125,110,110,98,67,112,168,170,166,170,172,172,172,172,174,176,175,176,173,174,176,117,172,171,132,125,152,130,117,98,88,68,124,171,165,165,166,169,170,170,172,172,173,174,175,176,189,194,197,123,179,173,127,127,153,127,106,86,61,107,167,158,164,165,166,168,169,170,171,172,172,175,173,197,206,206,193,122,180,174,122,128,150,124,105,73,61,148,158,159,162,163,165,167,168,170,171,172,173,174,174,165,137,178,192
1,131,134,137,139,142,146,148,149,150,151,152,153,153,153,153,151,150,149,153,149,148,147,146,143,142,142,141,138,133,137,140,142,145,148,150,151,153,154,154,154,154,154,152,153,158,155,137,151,149,148,149,145,144,142,142,140,136,140,143,145,148,150,153,154,155,155,155,156,157,154,163,146,164,169,88,139,149,150,148,147,147,144,142,142,138,142,146,149,149,153,156,157,158,158,158,158,159,156,190,132,101,162,80,102,119,127,153,148,149,148,146,144,141,146,149,150,152,155,158,159,161,162,162,161,158,170,197,119,75,151,77,101,120,88,158,150,151,150,149,146,143,147,150,153,155,158,160,162,164,164,161,176,169,116,162,104,90,169,85,101,124,79,153,154,153,151,150,149,145,149,153,156,158,160,162,165,165,167,164,196,152,68,127,104,98,169,92,86,124,81,152,159,155,154,151,149,147,152,156,157,160,163,165,166,169,168,169,198,128,68,129,95,84,142,79,106,141,87,145,163,157,157,154,152,149,154,157,159,163,165,167,169,171,168,181,199,125,68,115,79,100,135,71,111,138,83,141,167,159,159,156,155,151,155,158,161,164,165,169,171,173,168,191,187,115,80,122,77,124,147,77,103,128,79,147,167,162,162,159,157,153,157,159,163,166,168,170,173,174,170,194,176,104,93,144,84,105,134,73,126,137,82,150,169,164,163,160,157,154,158,161,164,169,170,171,173,177,173,203,181,129,81,115,59,72,94,61,149,134,84,153,170,166,165,163,161,155,160,164,166,169,171,172,175,179,176,205,163,111,66,71,70,75,74,78,131,106,78,165,170,168,166,165,164,158,163,166,168,171,172,176,179,180,181,197,162,139,131,95,117,82,122,136,91,76,92,178,168,169,168,165,163,159,165,168,171,172,176,179,180,181,190,216,200,149,169,165,153,146,164,125,69,66,124,181,169,169,169,166,164,160,165,171,172,175,178,181,183,179,207,228,162,115,125,160,169,164,146,128,100,47,135,183,171,172,170,168,166,161,166,171,174,179,180,183,185,180,219,202,128,114,77,78,123,111,146,165,120,53,138,185,173,173,171,170,167,164,169,173,177,181,182,184,186,185,226,208,162,113,100,89,73,131,134,190,144,70,121,187,174,175,174,171,169,166,170,175,178,182,185,187,188,193,229,206,171,108,113,81,142,208,149,184,158,94,71,177,180,176,176,173,170,167,173,177,181,184,188,190,191,196,225,208,168,102,118,95,199,211,190,151,125,110,69,169,184,178,177,174,172,168,173,178,182,186,188,191,191,199,224,216,160,110,114,133,223,213,177,150,109,83,81,185,183,181,178,176,173,170,176,180,183,186,190,193,191,201,227,205,149,133,98,169,225,202,174,141,123,61,101,196,183,183,180,178,176,171,178,182,185,188,192,194,193,201,224,194,168,143,109,199,218,192,165,136,108,55,152,195,185,185,182,179,178,172,178,183,187,190,192,194,203,210,213,194,189,147,131,206,207,182,156,124,76,84,195,188,187,186,183,181,178,173,179,184,188,191,192,203,160,151,220,194,196,147,120,184,182,157,132,104,53,155,200,189,188,187,185,183,180,176,180,185,191,192,194,202,81,50,153,191,187,110,100,135,139,124,103,54,95,205,191,192,191,189,186,185,182,176,182,185,190,191,204,158,59,64,52,86,101,79,98,107,106,83,58,63,186,198,193,193,193,190,187,186,183,174,179,186,190,191,202,108,62,60,57,52,56,61,71,69,69,41,13,132,210,192,195,194,193,191,187,185,183
21,133,138,142,144,147,151,155,158,161,163,164,166,168,169,170,171,170,169,170,171,170,169,169,168,166,166,165,165,133,138,143,145,148,152,156,159,162,164,165,167,169,171,172,173,170,152,160,171,171,171,170,170,168,167,166,166,134,139,144,146,150,153,157,160,163,166,167,168,170,173,173,178,172,126,137,170,172,172,172,171,169,168,168,168,135,140,144,146,150,155,159,161,163,166,168,170,172,174,175,182,172,121,133,172,175,174,173,169,165,168,170,170,136,141,145,147,151,156,160,163,164,166,169,171,173,174,176,184,170,124,134,173,176,176,172,157,139,158,171,170,138,142,146,148,153,157,161,164,166,168,171,172,174,175,177,186,171,126,136,175,178,177,170,144,116,150,172,172,138,143,147,149,153,158,162,165,168,170,172,174,176,177,179,187,171,129,138,176,179,176,166,137,117,158,174,174,138,143,147,150,153,158,162,166,169,172,174,175,177,179,180,187,171,130,134,175,179,175,162,131,126,168,176,175,138,144,148,151,155,159,164,167,170,173,174,176,178,180,181,190,173,131,131,175,179,173,157,126,141,174,177,176,139,145,149,152,156,161,165,169,172,174,176,178,179,180,182,195,176,130,132,176,178,169,148,122,154,177,178,177,140,146,150,153,158,162,165,169,172,174,176,178,179,180,184,195,169,125,136,178,175,164,135,124,167,179,179,178,141,148,152,154,158,163,166,169,172,174,177,179,177,170,176,182,150,114,135,177,175,160,124,138,177,181,180,180,142,148,152,154,159,163,167,170,173,176,178,182,167,144,144,147,121,103,134,175,174,149,120,156,182,182,181,181,142,149,152,155,159,164,167,171,175,177,180,182,165,138,122,106,94,101,136,165,162,132,124,172,185,184,183,183,143,149,153,155,160,165,168,172,175,178,183,186,178,166,144,112,87,99,126,142,138,115,139,182,186,186,185,184,143,149,153,156,161,165,169,173,177,179,188,194,192,194,168,126,90,88,103,114,114,109,157,187,187,187,186,185,145,151,154,156,162,166,170,174,177,182,182,178,186,186,162,121,93,84,89,97,99,114,171,189,188,188,187,186,145,150,154,156,162,166,171,175,178,185,176,159,166,152,149,128,103,89,83,87,90,121,180,190,189,188,187,187,145,150,153,157,162,167,172,176,179,189,184,157,134,114,136,143,117,96,86,83,86,123,183,192,190,189,188,187,145,151,154,157,163,168,172,176,180,190,179,146,123,110,131,155,132,108,93,86,85,120,183,193,192,190,189,189,146,151,154,157,163,168,173,177,182,194,180,156,144,133,157,176,146,125,104,90,88,122,183,194,193,192,190,190,147,151,154,158,163,169,174,178,184,199,188,169,151,155,193,189,152,132,111,95,92,127,185,195,194,193,192,191,147,151,154,159,164,169,174,178,184,201,198,174,154,176,204,182,148,129,114,100,96,132,187,195,195,194,194,192,146,150,154,158,163,168,173,177,183,201,199,170,160,183,201,177,150,127,113,102,100,142,190,195,195,194,193,192,146,150,153,157,162,168,173,176,181,196,187,168,166,180,198,177,156,130,108,100,102,150,192,195,195,194,192,192,145,149,152,156,162,168,173,176,180,189,180,178,172,176,195,173,150,129,108,100,105,156,193,195,195,194,193,192,145,150,152,156,163,169,174,177,181,185,184,190,174,174,187,163,137,119,106,99,108,164,195,196,195,194,194,193,145,150,152,157,162,169,174,177,180,183,186,188,168,164,175,153,126,110,102,96,109,169,195,196,195,194,194,194
12,191,195,198,202,204,206,208,210,213,214,214,214,216,218,217,214,214,217,219,213,214,213,213,214,213,212,211,209,193,196,199,202,204,208,210,212,213,214,216,217,216,209,208,221,217,193,195,220,216,217,217,213,214,213,213,212,193,196,200,203,206,208,211,213,214,216,218,215,228,214,183,194,229,210,165,184,207,181,200,219,215,215,214,213,195,198,201,205,207,210,212,214,216,218,218,218,245,243,219,173,180,240,208,147,159,185,152,210,219,216,216,214,196,199,202,205,208,212,213,215,216,219,215,237,230,233,232,188,134,201,211,155,118,173,155,155,224,216,217,217,198,201,203,206,210,213,214,217,219,219,216,247,203,219,231,177,130,189,198,152,120,151,158,124,214,220,217,217,200,202,205,208,212,214,216,220,218,221,224,184,163,222,212,164,123,196,190,142,124,159,147,128,219,219,219,218,201,204,207,210,213,216,219,218,227,245,226,165,129,173,204,181,114,183,218,160,126,182,152,143,228,218,218,218,203,206,209,212,214,218,217,232,245,238,229,182,130,134,213,177,104,189,228,152,134,216,153,172,231,219,220,219,204,207,211,214,218,218,230,246,209,210,237,188,131,98,174,163,83,131,215,142,124,194,154,211,227,223,222,221,206,210,213,216,220,220,243,238,210,191,222,179,135,95,109,111,108,135,146,160,165,172,128,198,231,222,223,223,208,212,215,218,219,228,234,209,186,155,205,180,137,100,107,112,188,230,196,193,175,165,145,153,233,223,224,223,209,214,217,220,222,224,241,216,193,144,183,180,135,105,117,160,212,223,213,190,165,140,154,135,219,229,224,224,211,216,218,222,222,226,243,220,197,159,161,182,157,111,142,201,221,217,210,193,164,140,136,135,225,229,226,225,214,217,220,224,224,235,246,227,206,180,145,173,173,122,201,228,225,219,216,179,158,139,111,170,238,226,225,224,217,220,223,226,226,241,248,233,214,187,161,154,152,178,232,230,231,229,205,163,152,130,117,221,231,231,235,234,218,222,225,227,227,244,245,236,220,193,183,168,165,207,220,226,235,224,186,156,148,111,163,250,234,219,191,162,221,224,226,229,229,239,241,241,224,202,196,179,174,202,207,229,233,210,172,150,139,112,196,184,144,113,97,95,224,227,229,230,232,232,244,242,227,210,205,189,177,209,203,232,226,192,160,142,129,110,107,91,88,90,92,90,226,229,231,233,236,231,241,237,225,214,210,195,180,208,218,214,206,174,148,135,121,92,89,89,90,88,92,84,228,231,234,235,239,233,236,238,226,215,206,197,188,198,216,198,182,160,141,132,99,77,94,91,80,82,94,89,229,232,234,236,240,232,232,242,226,213,203,193,181,186,203,189,169,152,135,123,89,70,84,98,83,75,86,94,230,232,235,237,242,231,234,239,220,206,200,191,176,185,196,181,154,144,130,104,100,72,71,90,94,77,77,89,231,234,237,240,243,232,236,235,205,195,197,185,173,187,185,169,141,134,95,83,101,87,61,77,92,87,72,79,233,236,238,241,245,230,237,242,204,203,204,192,183,189,174,156,137,116,79,72,92,97,64,65,82,92,81,70,234,237,240,240,248,214,233,244,212,219,216,197,181,185,166,151,131,97,88,68,80,96,77,58,71,89,89,73,238,241,244,243,255,167,214,249,227,238,220,190,183,183,161,146,122,89,86,73,67,88,86,58,63,81,90,81,213,217,221,224,236,136,154,242,228,233,207,180,187,182,157,143,109,95,82,76,61,82,88,64,57,75,88,87
10,149,155,158,160,164,170,175,178,181,184,187,189,191,193,194,196,198,199,200,200,198,202,201,202,201,201,200,199,151,157,160,162,166,171,177,181,183,186,188,191,193,194,196,199,200,201,200,207,212,188,205,204,204,203,203,202,152,158,161,162,168,173,178,182,184,187,189,193,195,196,199,201,201,202,197,224,228,168,203,206,206,205,204,204,152,159,161,164,170,175,179,182,186,188,191,193,196,198,201,202,204,205,200,230,235,169,198,209,207,207,206,206,155,160,162,165,170,177,181,184,187,189,192,195,198,201,202,205,206,207,203,225,247,179,192,212,207,209,209,208,155,162,163,166,172,177,182,185,188,191,194,197,200,202,203,205,206,208,205,222,255,199,183,216,210,211,211,210,157,163,165,168,174,179,183,188,191,194,196,200,202,203,205,206,207,210,207,221,255,213,173,216,212,213,212,213,158,164,166,170,176,180,185,189,193,196,198,201,203,205,205,207,211,211,209,218,255,222,169,216,214,214,214,214,159,165,166,171,177,182,186,190,195,195,198,203,204,203,216,216,184,213,212,217,255,226,165,212,217,215,215,215,161,167,169,172,178,183,187,191,194,202,201,199,205,207,231,229,159,179,218,219,255,232,166,208,221,217,218,218,163,167,170,173,180,185,188,193,193,227,198,157,157,165,200,230,209,181,203,225,255,228,168,197,223,218,219,219,163,168,170,175,181,186,190,194,197,209,180,147,142,149,147,211,249,212,165,227,239,223,178,185,226,219,220,221,164,169,171,176,182,187,192,195,199,202,194,179,167,163,158,167,231,219,161,189,204,207,183,177,227,222,222,222,165,170,173,178,184,189,193,197,201,204,210,206,230,225,152,138,217,242,196,146,153,174,177,162,222,224,223,223,167,171,174,179,185,190,195,198,203,206,206,214,255,224,134,123,182,255,219,162,135,153,165,151,211,228,224,224,167,172,175,180,185,191,196,200,203,208,205,241,255,216,143,143,139,252,238,193,147,142,164,150,203,231,224,225,168,173,175,181,186,192,197,200,205,209,207,238,255,243,162,117,152,245,252,213,164,137,159,151,206,234,226,228,169,174,176,182,188,193,198,202,206,209,210,216,248,255,190,148,173,244,252,210,167,144,152,148,210,235,228,229,170,174,177,183,189,194,199,203,207,209,213,212,232,236,187,177,184,251,245,222,181,151,150,146,215,234,229,231,171,175,178,184,191,195,199,204,208,211,213,217,215,230,229,197,211,255,243,229,198,162,150,144,220,234,231,232,173,177,179,185,191,195,200,205,209,212,215,219,217,245,255,236,238,255,246,223,201,172,153,142,222,235,232,233,173,176,179,185,191,196,200,204,208,212,215,219,218,237,255,250,251,255,246,223,202,178,158,143,223,236,234,234,172,175,178,184,191,195,199,204,208,211,215,218,218,228,255,255,254,255,245,222,199,184,163,145,224,235,233,233,173,177,179,186,192,197,201,205,209,212,216,219,220,226,255,255,255,255,242,223,204,189,167,141,223,236,234,234,173,176,179,186,193,197,202,206,210,214,217,219,222,222,254,255,255,255,241,229,210,187,164,144,230,236,235,236,174,177,181,187,194,198,203,207,210,214,217,220,223,221,244,255,255,252,236,237,219,185,157,150,237,234,237,238,173,177,181,186,193,197,203,208,212,215,219,221,224,227,238,255,243,241,240,239,228,185,149,152,242,239,237,238,170,175,179,184,191,196,201,208,211,214,218,220,225,198,145,226,241,249,248,237,231,182,149,113,118,208,243,237
7,178,178,180,181,181,182,181,181,181,181,180,179,179,178,178,176,175,174,172,172,172,171,170,170,139,58,43,52,179,180,181,183,183,183,183,183,182,182,181,180,180,179,179,177,176,175,172,170,171,169,170,172,158,122,106,98,181,182,184,186,186,186,186,185,185,185,183,182,182,174,161,168,172,168,157,156,154,157,175,162,140,106,156,157,183,185,186,187,187,187,187,186,186,185,186,187,187,175,157,161,174,169,154,148,144,147,172,146,134,126,172,138,185,186,187,188,188,188,187,188,192,196,201,201,194,174,163,164,153,142,142,133,131,122,123,136,147,133,129,114,186,187,189,190,191,191,184,188,199,205,205,198,190,182,178,171,149,123,141,148,138,132,123,122,112,127,127,150,188,189,191,191,203,205,192,187,192,196,194,190,188,186,183,169,149,134,140,145,137,134,127,112,97,118,122,136,189,190,192,197,218,212,199,186,187,193,193,191,189,184,179,165,145,133,122,116,110,110,105,99,94,100,116,159,191,192,193,209,223,212,190,171,175,186,189,185,177,164,150,134,119,122,123,124,129,137,139,139,147,155,161,158,193,194,196,220,220,207,180,165,174,171,163,156,144,135,127,115,112,130,179,184,184,185,184,183,181,179,178,151,194,193,207,225,218,205,189,181,172,159,160,162,159,152,146,143,143,104,114,172,188,187,186,184,181,179,178,175,194,196,221,225,220,216,213,198,169,164,167,165,159,147,142,138,130,98,54,109,188,188,187,185,183,181,179,179,193,206,227,226,223,222,220,198,157,153,157,151,145,138,134,127,115,92,55,88,186,189,188,187,185,183,181,179,199,222,228,227,224,220,212,187,158,147,128,112,111,124,134,139,143,119,75,136,189,189,189,188,187,186,183,180,216,229,228,226,223,214,203,185,167,151,132,123,138,162,162,149,148,133,131,190,191,190,189,189,187,186,184,181,226,229,229,226,218,208,195,176,163,165,152,145,158,159,149,139,132,110,136,196,193,192,190,189,188,187,185,183,229,229,227,223,213,197,176,168,179,181,161,151,150,142,135,125,113,89,152,197,195,194,192,190,189,188,186,184,229,227,224,218,205,188,184,191,196,186,165,141,124,114,102,89,90,121,186,197,197,196,194,191,189,188,186,184,227,223,215,208,200,196,197,194,189,173,147,119,99,127,111,124,161,190,199,199,197,196,194,193,190,188,187,186,220,215,207,204,201,202,195,180,174,161,137,112,139,193,196,200,202,201,201,198,196,195,195,194,191,190,188,186,210,205,205,202,197,194,186,174,168,143,112,138,198,205,204,203,203,202,202,199,198,196,196,195,193,191,189,187,202,196,197,194,186,180,174,164,141,110,126,195,206,205,204,203,203,202,201,199,199,198,197,195,193,192,189,184,199,194,188,179,169,164,155,136,107,119,189,207,204,204,203,203,202,202,200,199,198,197,196,194,192,190,184,175,195,186,175,160,147,140,123,101,121,187,208,208,206,206,204,203,202,202,200,199,199,198,196,194,193,161,108,135,176,163,148,131,119,105,94,129,192,209,208,208,207,207,205,203,203,202,201,200,199,198,197,192,166,91,46,47,154,142,131,119,103,111,155,201,209,209,208,208,207,207,205,204,204,203,201,200,201,196,174,127,75,47,38,35,149,144,125,103,106,190,210,209,208,208,208,208,207,207,206,204,204,203,201,189,162,122,77,51,43,42,39,36,165,153,125,95,117,208,210,209,208,208,208,208,207,207,205,203,198,187,151,102,63,41,38,38,35,36,36,36
4,139,140,140,141,142,140,140,140,141,140,139,139,139,138,136,137,139,138,135,134,134,133,133,133,131,130,129,129,141,141,142,143,143,143,142,142,142,141,139,141,139,142,144,136,125,127,138,136,135,135,134,134,133,132,131,131,143,144,144,145,145,145,145,143,142,146,153,151,135,118,145,167,141,100,92,145,140,138,134,135,134,133,133,132,145,146,147,146,146,147,144,147,149,121,145,160,138,90,70,139,138,94,55,97,120,125,140,137,135,133,134,133,146,146,147,147,148,143,157,168,140,99,69,139,122,81,48,100,115,74,56,44,83,78,92,141,135,134,134,135,147,148,147,148,148,147,179,173,129,99,53,123,115,79,42,82,103,75,51,52,79,63,47,134,139,137,135,135,149,149,148,150,148,156,175,169,139,148,73,92,141,122,41,64,125,105,56,64,87,62,47,131,141,138,137,136,149,149,149,151,149,156,179,151,158,171,92,68,164,127,43,50,140,111,53,69,123,90,60,134,142,139,138,137,149,151,151,152,152,151,179,162,151,127,75,56,116,96,53,50,87,93,30,66,152,102,76,142,141,141,139,138,151,152,152,153,151,156,190,182,160,131,101,83,60,56,60,77,117,124,65,59,112,81,101,149,142,140,140,139,153,152,153,156,149,170,195,172,146,133,116,106,92,104,110,124,155,118,85,65,62,43,128,149,144,142,141,140,154,154,154,157,150,180,185,152,125,105,114,165,137,143,157,130,139,108,100,75,63,57,137,147,145,144,143,142,154,156,156,157,153,187,184,155,133,110,109,160,139,141,149,140,126,123,120,87,53,49,134,149,143,144,143,141,155,158,158,156,159,195,185,159,136,115,95,109,116,113,126,110,106,145,138,100,63,44,129,152,145,146,144,144,158,159,159,155,166,196,179,161,133,102,92,82,68,71,107,77,92,155,149,108,75,46,120,155,146,146,145,145,160,160,161,156,174,195,180,161,124,101,102,96,79,99,156,152,118,153,159,107,84,47,112,157,146,146,146,145,160,161,162,157,177,193,181,158,122,106,112,98,83,160,180,166,154,134,150,113,92,56,96,159,147,148,147,146,161,161,163,158,181,193,173,138,121,121,113,87,133,185,181,167,146,139,119,105,89,61,105,159,148,149,147,146,163,163,164,159,185,189,163,136,145,121,99,100,180,186,181,163,138,125,109,87,79,55,136,155,150,149,148,147,164,164,162,168,191,185,160,150,148,117,88,142,190,181,169,152,133,113,101,81,62,66,155,151,152,150,148,148,164,163,172,127,178,188,160,152,153,109,118,166,188,170,156,144,128,107,88,75,43,112,161,152,152,151,150,149,164,171,155,55,84,173,167,155,147,100,129,165,177,158,148,138,117,95,80,58,63,156,154,153,154,152,151,150,169,166,78,59,52,70,138,152,125,96,112,160,161,145,134,124,105,84,69,43,128,163,155,156,156,154,153,151,177,103,52,60,61,50,58,94,97,82,101,133,144,131,120,108,91,74,44,85,166,156,157,157,156,156,154,152,124,62,66,54,50,56,52,46,50,71,93,109,124,112,103,86,75,49,55,158,162,158,158,158,157,156,153,152,63,63,62,52,50,50,49,55,38,42,67,83,97,83,71,65,51,43,139,167,160,161,161,159,158,156,155,154,66,61,52,51,48,49,47,50,48,14,27,37,49,50,39,35,40,132,171,160,162,162,162,160,158,157,156,155,61,55,50,50,46,46,43,44,53,27,9,22,22,22,24,8,83,179,161,164,163,162,162,161,159,157,157,156
16,81,82,83,83,85,96,108,118,128,136,144,150,152,154,157,161,166,171,175,179,182,185,187,190,193,195,197,200,80,81,83,83,85,97,108,119,128,136,144,150,152,153,156,160,165,171,175,180,182,185,188,191,194,195,198,200,80,80,82,82,85,96,108,119,126,136,144,149,151,151,155,159,164,169,174,178,181,184,186,190,193,196,198,199,79,79,82,82,85,97,107,118,128,137,144,148,152,153,152,158,165,169,174,178,181,184,186,190,194,195,198,200,79,79,81,82,86,97,108,118,127,134,142,147,166,168,143,131,147,166,175,177,180,184,188,190,194,196,198,201,79,79,80,80,85,96,107,117,126,147,156,170,185,167,142,120,103,114,146,173,182,185,188,191,194,196,199,200,78,78,79,79,83,95,106,113,147,191,185,184,174,148,129,120,104,88,84,113,154,175,186,191,194,196,198,199,78,79,79,79,83,94,104,124,186,191,175,165,155,137,119,105,101,93,81,79,87,108,134,160,184,196,198,200,76,77,78,77,82,91,112,180,190,164,153,145,133,121,104,94,95,100,87,83,79,77,80,91,120,163,192,202,74,76,77,76,80,90,144,189,163,146,135,122,109,98,91,89,85,105,95,92,85,78,74,73,76,92,130,174,74,74,75,74,82,129,158,155,141,130,113,100,90,83,85,76,77,102,104,107,90,82,74,71,73,74,77,96,114,111,111,110,140,174,149,134,124,107,92,84,75,78,77,58,78,104,111,112,95,87,75,72,70,72,74,72,110,113,112,120,192,183,147,119,97,88,79,69,67,73,59,45,88,106,113,115,101,91,79,75,70,70,73,72,108,110,104,149,198,171,131,98,74,69,61,56,62,56,32,39,91,105,112,125,114,102,86,78,69,69,71,70,114,112,126,185,178,147,105,77,60,61,48,37,32,24,17,28,86,101,118,138,130,113,97,73,67,69,69,66,115,112,163,173,144,114,81,63,56,55,33,17,13,10,11,18,75,101,126,146,123,117,103,69,65,66,66,64,112,138,179,150,108,80,65,58,58,56,39,16,8,8,9,12,53,97,141,138,105,116,102,66,64,62,64,63,118,175,166,121,82,60,56,60,64,65,62,44,16,17,21,22,32,115,153,118,93,105,86,64,64,62,63,60,151,166,127,87,69,80,68,68,70,71,69,61,43,43,43,35,68,155,140,99,84,83,68,62,61,61,60,58,170,125,87,62,88,103,85,88,81,78,72,64,57,56,51,50,134,155,120,86,72,64,59,61,60,59,61,64,131,89,62,77,103,93,89,88,84,78,73,65,58,56,47,90,169,146,101,71,61,56,56,58,56,60,65,66,93,68,79,107,113,107,104,91,80,74,76,65,64,73,84,147,178,145,85,59,55,58,59,58,59,63,64,64,98,97,108,113,116,115,114,112,105,101,104,101,104,111,113,177,184,149,80,47,53,63,62,61,61,63,64,65,114,113,113,113,115,115,115,116,115,115,115,116,116,116,117,180,187,152,91,59,90,79,72,68,67,68,67,67,113,112,112,113,115,114,114,115,114,115,116,116,116,116,113,157,171,139,87,97,132,95,83,81,80,78,72,68,113,113,112,113,115,114,113,114,115,116,115,116,117,118,114,128,145,113,82,108,146,129,99,90,92,92,84,73,113,113,112,113,114,114,113,113,114,114,114,114,117,116,115,116,120,99,94,110,133,159,131,115,110,107,98,87,113,113,113,113,114,114,114,114,114,114,115,115,117,117,117,116,117,114,114,113,120,172,153,136,126,118,108,96
12,193,195,196,196,197,198,199,200,199,200,200,201,201,201,201,202,202,201,202,202,200,201,201,201,200,200,200,199,195,196,197,199,199,199,201,201,200,201,201,202,202,202,202,203,202,203,203,203,202,201,201,202,201,201,201,201,195,196,198,200,200,201,203,203,202,203,203,204,204,203,204,205,205,205,205,204,203,203,203,203,203,202,202,202,196,198,199,200,201,202,204,204,203,203,204,205,205,205,205,206,207,207,206,206,205,206,205,205,204,204,203,203,199,200,201,202,202,203,205,206,204,205,206,206,206,213,207,201,206,207,208,207,207,207,207,207,206,206,205,205,201,201,203,203,204,205,206,207,207,216,216,203,213,227,214,175,183,213,208,194,205,207,208,208,208,207,207,206,201,202,204,205,206,207,207,206,221,245,230,193,204,234,218,159,141,211,206,163,176,208,209,210,209,209,209,208,202,203,205,207,207,207,208,205,230,254,235,191,193,238,217,165,132,209,198,154,135,203,212,211,210,210,210,210,203,205,207,208,208,209,209,210,233,247,235,192,188,239,216,178,154,212,186,139,116,191,215,213,212,211,211,210,204,206,208,208,209,209,224,229,210,219,231,209,173,234,222,178,171,216,190,133,109,181,216,214,213,213,213,212,205,207,208,209,210,215,246,232,190,177,207,194,149,217,211,152,174,217,175,123,105,176,218,215,215,214,213,212,207,209,210,211,209,232,252,238,203,157,178,152,112,148,152,129,179,186,136,106,104,175,219,217,216,215,215,214,208,210,211,212,212,242,249,243,212,169,151,140,97,93,116,179,205,185,145,137,129,180,221,217,217,217,215,215,210,211,214,213,216,245,232,239,219,185,138,116,116,114,181,240,239,216,185,176,152,182,222,219,218,217,216,216,210,213,213,213,224,251,238,221,218,191,147,113,117,172,246,250,240,220,191,172,145,168,222,221,219,218,217,217,212,214,214,213,236,254,241,206,211,191,160,122,121,228,254,249,238,220,193,162,135,166,224,222,221,219,218,219,214,215,216,214,241,255,247,222,199,191,192,153,157,250,253,249,237,216,183,156,130,166,224,222,223,221,220,221,215,216,218,216,235,255,250,228,197,179,191,189,217,254,251,248,236,211,180,153,130,151,223,223,224,223,221,222,215,216,218,217,236,255,252,235,219,204,192,225,246,254,247,246,235,207,183,148,127,145,224,225,223,223,222,222,216,217,219,218,238,255,254,245,235,226,212,230,241,253,243,239,230,208,178,144,120,164,227,226,224,224,224,223,217,218,220,219,236,255,255,251,242,231,219,225,232,249,238,229,221,206,168,136,120,199,226,226,226,225,226,225,217,219,221,221,229,254,255,253,243,227,217,223,226,241,231,219,215,196,155,123,145,224,226,227,227,227,227,225,217,219,222,223,225,249,255,250,239,221,212,220,224,234,225,215,205,177,137,116,193,230,228,228,228,227,227,227,218,220,222,224,223,245,252,238,228,214,209,217,223,235,224,208,188,154,116,148,227,230,229,229,229,228,228,227,212,208,203,197,186,193,189,168,162,159,157,161,158,163,152,143,135,119,105,196,236,232,231,230,231,230,230,229,161,158,150,141,125,116,112,104,96,89,83,79,69,67,66,64,62,63,68,117,175,226,232,230,230,230,230,230,140,139,139,131,119,111,106,99,92,85,79,71,62,60,59,57,54,51,49,48,71,205,232,230,230,229,229,228,150,138,138,129,119,110,104,98,91,82,77,70,62,59,59,57,52,49,49,44,105,223,230,231,230,229,228,228
7,171,172,172,172,172,172,171,171,171,172,172,172,172,172,171,170,170,170,161,82,66,88,101,103,122,142,154,172,173,174,175,175,175,174,174,174,175,174,175,174,173,173,173,172,172,175,142,73,81,102,97,99,120,139,157,173,177,177,177,177,178,178,178,178,179,178,178,178,177,177,175,175,173,179,121,70,86,94,98,94,116,144,163,175,179,179,179,179,179,179,179,179,181,180,179,176,175,177,174,173,170,174,149,123,137,96,91,108,123,154,169,170,182,182,182,182,182,182,181,182,183,182,184,174,162,175,181,174,162,164,155,172,202,127,85,108,132,165,170,163,184,184,185,185,187,186,183,185,192,196,192,180,169,176,176,173,164,159,155,150,180,132,99,119,148,174,171,162,187,188,187,186,186,187,194,201,204,201,194,181,181,177,150,157,174,167,167,158,156,142,141,174,162,176,178,166,191,190,191,190,185,192,199,199,196,191,189,190,184,174,156,162,178,168,166,161,142,137,126,152,147,174,183,178,192,190,207,204,194,193,195,192,193,193,191,190,184,167,163,156,145,133,128,126,116,112,118,119,125,172,182,186,192,196,216,205,189,186,192,195,194,191,186,178,168,153,142,132,130,133,144,143,124,176,171,152,127,172,179,187,195,201,214,202,177,174,183,185,183,170,149,136,118,113,142,181,190,189,199,176,147,209,153,179,136,166,177,182,196,204,209,193,171,175,176,161,144,125,132,156,129,130,137,120,186,196,193,187,174,140,133,200,138,153,176,173,197,207,206,192,193,189,176,166,159,166,169,166,160,156,165,108,132,205,191,194,192,145,181,205,143,132,173,168,201,209,209,211,217,197,167,170,175,173,167,157,154,153,148,107,128,206,194,195,192,187,175,191,167,126,165,170,203,210,211,217,216,192,160,161,158,152,152,148,143,137,121,114,193,200,197,197,194,193,201,191,179,165,168,172,205,210,213,215,201,182,170,161,141,123,129,141,138,135,123,131,205,199,198,198,198,196,176,145,150,173,170,172,210,214,213,207,193,186,187,190,163,141,152,165,159,144,141,130,172,208,200,198,199,204,174,141,160,168,168,173,214,216,210,201,193,185,196,196,162,141,148,150,142,132,132,113,171,209,200,201,201,203,196,164,178,162,167,172,213,214,209,201,193,194,206,189,158,141,142,140,137,131,116,128,202,204,204,203,201,200,201,179,172,165,159,169,211,213,208,198,197,202,197,175,149,134,125,120,112,100,115,189,210,204,204,203,202,202,203,187,174,171,157,161,209,209,202,196,198,189,175,159,146,138,118,99,110,145,192,212,206,206,204,204,203,203,205,193,175,180,163,148,203,203,198,195,195,182,169,162,152,137,143,183,200,215,212,209,207,207,206,207,205,204,206,194,173,183,178,158,200,198,197,192,190,182,174,164,135,117,200,219,211,210,208,208,209,208,207,208,206,204,205,194,171,181,180,170,198,191,192,192,179,172,164,140,105,165,221,211,212,212,211,210,209,208,208,208,207,206,206,194,172,178,177,173,195,186,181,176,166,156,140,111,132,216,214,214,214,215,213,213,210,209,209,210,208,207,208,195,174,178,175,168,188,180,174,160,146,131,109,115,202,217,214,215,214,214,213,212,212,211,210,210,208,207,209,191,175,178,174,168,172,165,157,141,122,107,120,194,220,214,215,216,216,215,214,214,213,212,210,210,209,209,206,183,178,178,174,166,159,149,143,132,113,141,203,220,215,216,216,216,216,216,215,215,214,213,212,212,210,212,196,177,181,181,177,169
21,182,184,187,188,189,189,189,190,191,191,191,196,193,193,193,193,192,191,191,193,192,191,190,189,188,186,186,185,186,188,192,193,193,193,193,194,195,197,193,169,196,196,196,196,196,196,197,197,196,195,193,192,190,189,189,188,191,192,195,196,198,198,197,198,198,200,209,128,171,209,199,201,200,199,199,199,198,198,197,195,195,195,193,192,194,196,197,198,200,201,202,203,203,203,215,134,148,215,203,205,206,206,202,203,201,201,200,198,198,198,196,195,198,200,202,203,204,204,205,207,206,208,217,135,130,217,208,196,161,195,211,206,206,204,204,203,202,201,200,197,202,203,206,207,210,210,210,211,211,210,224,157,123,214,212,195,134,143,222,208,209,208,207,206,206,205,203,201,205,208,211,212,213,213,214,213,215,210,232,198,124,202,221,192,141,126,219,214,213,212,210,209,208,207,205,203,208,211,213,213,215,215,216,217,219,213,235,207,123,183,228,192,144,121,211,222,216,215,214,213,211,211,210,207,211,213,216,217,217,218,220,220,220,215,239,222,142,167,232,201,172,129,205,224,218,219,218,217,215,214,213,211,214,217,217,219,220,221,222,221,221,221,211,204,175,153,234,197,170,130,201,228,221,221,219,218,218,217,215,213,218,221,219,220,222,222,223,224,223,230,205,156,151,145,230,193,183,128,200,233,223,223,221,220,220,220,218,215,219,220,221,223,224,225,225,227,224,244,233,179,106,118,229,202,203,145,203,235,226,225,225,224,223,221,221,220,220,223,225,226,227,228,228,229,229,245,243,181,139,177,178,165,180,154,161,238,228,228,227,226,226,225,223,221,223,225,227,228,228,231,232,229,223,206,225,187,129,158,145,162,153,156,136,210,237,230,230,228,227,227,225,223,226,228,230,231,231,233,233,234,215,143,173,210,113,70,127,146,115,197,160,164,244,230,233,231,230,228,227,226,227,230,232,233,234,235,233,238,227,170,120,213,154,85,101,86,162,235,198,141,222,237,232,233,232,230,230,227,228,231,232,233,234,234,240,227,222,206,119,194,185,88,112,181,165,219,211,140,164,248,232,234,233,232,232,231,231,232,233,234,236,237,239,245,206,199,132,108,117,73,111,220,210,196,169,129,118,234,238,234,233,232,232,232,232,233,234,236,238,238,237,232,186,183,134,94,81,96,161,224,227,193,139,115,119,232,240,236,235,233,233,233,232,235,235,239,241,241,237,230,223,167,159,136,100,148,219,236,217,187,141,106,143,249,238,239,237,235,234,234,233,236,237,239,240,243,237,243,211,188,173,157,114,186,244,232,220,184,138,95,191,254,239,240,239,237,236,235,235,237,239,240,241,243,241,243,226,203,159,209,192,237,249,240,220,164,123,101,229,248,242,241,240,240,238,236,236,238,239,241,242,243,243,239,238,190,187,208,220,253,255,250,202,146,103,131,253,242,244,243,242,240,239,238,237,239,240,241,243,243,245,226,229,208,204,187,214,242,253,232,177,137,95,175,255,245,244,243,243,241,241,238,237,238,239,241,243,242,245,222,221,216,207,188,206,226,224,196,148,119,100,228,253,247,247,245,243,242,244,244,234,238,239,241,241,241,247,236,210,208,202,200,188,194,199,163,123,94,163,255,247,247,246,246,244,242,240,229,236,238,240,241,242,242,245,248,211,206,200,205,179,178,186,146,107,103,236,250,248,247,247,246,245,244,241,157,238,239,241,242,243,244,245,250,220,199,186,187,170,166,172,140,90,137,255,247,249,249,248,244,250,210,172,128
14,134,138,142,145,148,151,152,154,157,159,160,162,165,165,165,166,168,169,171,172,173,173,173,175,175,175,176,176,135,139,142,146,149,152,154,156,158,159,162,164,167,167,169,170,172,173,172,173,173,175,175,176,176,176,177,177,136,140,145,149,150,152,155,157,159,159,161,163,164,171,149,146,159,161,174,177,178,176,176,176,176,175,178,179,138,140,145,149,151,153,156,159,160,159,167,170,171,162,110,101,146,151,167,146,157,182,177,177,177,176,179,179,138,141,145,149,151,155,157,158,160,177,180,163,141,123,105,95,133,156,146,97,128,189,177,180,180,180,180,180,139,143,146,150,152,156,156,162,190,190,159,105,85,90,104,101,112,121,118,87,87,174,182,180,182,182,181,181,140,143,148,152,155,157,156,195,195,161,122,78,57,65,86,99,127,119,126,132,108,140,178,181,183,183,182,182,140,144,148,152,156,154,166,207,155,105,74,81,72,87,97,69,89,111,116,144,153,123,133,190,181,183,183,183,142,146,150,153,157,152,190,193,125,75,68,80,74,104,95,76,96,111,123,113,120,92,97,187,184,183,184,184,143,147,151,153,155,159,206,169,115,68,65,65,68,86,74,99,116,80,119,137,127,117,106,130,189,186,184,185,143,147,150,154,151,178,202,144,86,63,72,79,78,66,70,107,104,93,175,190,178,145,124,102,147,179,186,185,143,149,151,156,154,198,177,123,88,84,79,85,82,83,88,78,94,165,187,182,186,186,153,147,115,168,191,186,144,149,153,153,170,209,167,126,107,85,78,81,81,90,96,73,147,193,182,183,189,172,159,144,111,188,187,187,144,149,154,151,195,207,161,122,96,81,76,76,80,90,84,102,187,183,185,186,187,161,162,114,138,197,186,188,144,149,154,152,202,193,153,121,86,74,74,78,85,88,71,123,193,180,186,189,182,154,156,96,143,199,187,189,145,151,155,154,208,190,145,107,77,75,77,81,87,77,68,104,187,188,188,187,145,149,151,101,125,199,187,189,145,151,152,162,212,178,144,110,82,77,80,85,89,88,95,99,135,178,179,160,157,158,147,98,136,199,187,189,146,152,150,175,214,175,142,108,84,75,79,91,93,103,117,127,118,114,139,159,169,163,123,124,189,190,189,189,146,153,148,187,210,171,141,107,86,78,80,90,100,113,126,136,139,128,159,164,163,134,128,190,192,190,189,190,146,153,148,196,202,169,142,113,91,79,83,94,114,127,140,140,142,137,153,160,128,126,189,194,191,193,191,190,146,152,151,204,194,167,141,116,97,82,82,103,131,142,151,150,141,137,133,125,113,186,194,191,193,192,191,191,146,151,156,203,186,165,138,121,100,84,82,112,146,149,149,149,145,135,100,103,180,193,190,193,192,192,193,193,147,150,163,200,177,159,142,126,103,87,84,120,151,146,146,145,146,111,109,180,195,190,192,193,193,193,193,192,149,149,169,197,170,160,149,127,110,93,88,119,151,145,131,140,121,110,186,195,190,193,193,194,194,194,193,192,148,147,180,199,172,167,152,128,112,100,87,109,140,133,121,122,106,174,196,191,193,192,193,194,193,193,193,193,147,147,196,199,178,171,151,129,112,99,86,101,123,116,121,95,162,195,190,193,192,192,193,194,193,193,193,194,148,155,209,193,184,170,139,119,106,90,89,101,107,100,114,159,195,187,191,194,193,194,194,194,194,194,194,194,142,173,208,182,180,159,121,109,98,89,96,97,89,104,167,195,188,189,191,194,194,195,195,194,195,194,194,194
24,171,172,173,173,174,175,175,176,175,175,175,175,176,176,174,173,172,170,170,171,169,167,166,166,164,163,161,159,174,175,176,177,178,178,178,178,179,179,178,179,178,178,178,178,177,175,174,173,171,171,170,168,167,166,165,162,178,178,180,180,180,180,181,181,181,180,181,181,181,181,180,180,179,178,177,175,174,173,174,174,170,169,168,165,180,181,182,183,184,184,185,184,184,183,183,183,183,184,184,182,180,180,179,178,177,178,158,154,177,171,170,169,183,184,185,185,185,185,185,186,186,185,185,185,185,186,185,185,184,182,181,181,178,183,151,106,176,174,172,170,186,186,186,188,189,188,187,188,189,193,188,187,187,187,187,185,185,185,184,184,180,189,155,102,175,178,174,172,188,189,189,191,192,191,191,193,183,153,190,191,190,191,190,189,187,187,186,185,183,192,147,105,180,180,177,174,190,191,192,192,192,192,192,194,175,112,151,200,192,194,193,192,191,190,188,187,187,196,139,114,187,179,179,177,192,193,193,194,194,193,193,196,176,132,112,199,194,195,195,194,193,192,191,186,195,194,132,125,192,181,181,179,194,195,196,196,197,196,196,197,192,154,99,181,201,195,196,195,193,193,193,193,201,179,111,140,196,184,184,181,196,197,197,198,198,199,198,197,199,170,103,151,208,196,198,199,200,197,193,183,203,172,92,161,195,187,187,184,197,199,199,199,199,199,199,199,201,185,131,116,207,198,201,184,167,193,184,132,123,160,103,187,192,189,188,185,199,200,201,201,201,201,201,200,203,192,151,93,184,207,190,170,146,144,151,132,99,104,118,200,192,192,190,187,200,202,202,203,203,203,203,203,204,199,162,105,145,214,180,181,158,147,135,149,149,74,131,206,191,193,191,189,203,203,204,205,205,204,204,205,204,203,180,145,111,186,167,193,160,150,153,156,141,76,154,205,194,193,192,191,204,205,205,205,206,206,206,205,204,205,193,160,105,137,142,187,179,123,109,138,156,97,131,209,195,196,194,192,204,205,206,206,207,207,207,206,208,210,200,175,159,134,125,156,178,113,56,129,173,121,91,198,198,196,195,193,205,207,209,209,209,208,208,208,208,211,201,198,177,122,90,132,159,97,62,112,181,161,92,138,209,196,197,196,208,210,210,210,210,210,211,210,210,212,205,196,157,121,100,134,147,97,77,179,193,177,111,97,206,198,198,197,210,210,211,211,212,212,212,212,213,212,211,196,177,166,126,130,161,110,143,206,187,160,96,107,208,198,199,197,211,212,211,212,213,214,213,213,214,214,214,196,191,180,132,128,126,135,206,199,170,149,79,127,214,199,200,199,210,211,211,212,213,213,213,213,213,214,216,193,190,191,155,131,109,191,209,193,164,140,77,150,215,198,200,199,211,211,212,213,213,212,213,213,214,215,215,199,184,182,167,142,116,191,200,183,158,128,74,170,210,199,200,199,211,212,212,213,213,213,214,215,216,214,217,200,177,177,175,160,122,175,203,177,144,109,76,189,207,200,200,198,212,212,213,213,214,215,216,215,216,216,218,208,180,181,175,175,132,157,197,167,131,85,95,211,203,203,201,199,213,213,213,215,216,216,216,214,215,217,216,217,190,186,176,179,135,126,176,139,107,61,131,218,202,204,201,201,207,210,212,215,216,218,219,219,221,223,222,225,199,188,178,167,138,117,140,128,91,61,181,214,205,206,207,193,133,136,140,143,146,151,157,160,163,167,171,173,189,193,171,158,150,125,128,134,75,97,206,198,199,189,144,95
19,129,134,139,143,147,150,153,155,156,158,158,158,159,158,158,159,159,158,157,156,155,154,153,150,160,166,127,189,133,139,145,148,151,155,158,160,162,162,163,163,163,165,163,163,162,161,161,161,160,160,158,152,173,119,116,194,139,143,149,154,157,160,163,166,167,169,169,169,170,162,172,169,167,166,166,166,165,164,163,161,161,167,185,190,143,149,153,158,162,165,169,170,171,173,171,187,183,112,114,178,171,171,170,170,169,168,167,166,161,172,165,132,147,153,158,162,167,170,174,175,177,179,174,205,180,104,59,162,181,175,175,174,174,173,171,169,167,167,149,136,154,159,164,168,173,177,179,179,182,186,180,208,179,121,53,128,192,178,178,177,177,177,175,173,171,171,165,168,157,163,168,172,178,181,183,185,186,189,185,211,188,135,58,96,199,181,182,182,181,181,178,177,175,174,169,173,162,166,171,178,182,184,187,189,191,195,190,213,185,123,46,64,203,192,191,189,187,186,183,181,178,178,174,178,165,171,177,182,184,189,192,193,195,200,196,214,179,123,88,113,163,157,171,176,178,179,186,191,189,185,180,181,168,174,180,184,187,193,197,201,200,197,192,200,187,179,184,186,146,109,136,154,136,124,132,134,158,172,181,187,171,177,182,186,192,195,189,165,168,187,190,199,194,198,193,170,148,126,142,165,146,140,138,117,155,154,135,186,174,179,185,190,192,214,190,159,171,177,176,178,175,167,160,144,126,89,89,114,126,130,132,115,127,139,102,166,176,180,187,193,197,224,191,174,168,150,153,161,157,152,153,149,136,70,119,137,136,128,118,113,118,145,31,140,179,184,189,193,204,194,134,120,135,147,168,171,160,159,157,155,148,95,170,229,215,210,205,199,213,165,9,74,180,186,192,194,219,171,134,129,131,144,151,147,153,156,153,151,130,69,156,220,207,208,206,205,219,77,23,21,182,186,192,199,208,151,151,152,147,133,98,109,133,119,102,111,89,58,199,213,215,223,221,212,159,35,28,29,184,188,195,200,210,196,171,140,129,138,143,139,134,126,117,111,95,81,222,230,205,161,106,52,24,26,28,30,184,190,197,200,216,229,195,138,107,131,143,142,140,138,128,117,112,80,149,119,26,7,17,9,11,22,22,26,185,191,195,203,217,229,196,141,123,115,103,106,115,113,102,93,87,69,10,0,5,0,3,0,19,17,15,21,187,195,196,205,215,214,208,153,130,105,81,85,105,105,93,85,68,40,11,9,13,4,0,0,8,11,6,15,187,195,197,210,221,223,223,172,125,94,115,127,123,116,102,93,66,0,0,16,3,1,2,1,0,0,0,7,187,194,195,210,223,224,228,184,122,89,106,114,109,97,80,72,62,0,0,4,7,2,0,0,1,0,0,0,186,194,194,203,224,218,203,153,118,106,105,115,113,91,74,80,52,1,0,0,3,6,0,0,0,0,8,7,186,194,196,203,220,210,190,147,120,116,105,108,88,64,76,81,0,0,0,0,0,6,4,0,0,0,0,4,186,194,194,203,213,207,178,143,115,117,110,87,48,37,50,34,0,0,0,0,0,0,7,0,0,0,0,0,190,197,194,200,206,197,151,116,121,154,111,46,36,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,176,182,182,205,199,183,148,123,143,146,97,43,34,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,90,84,160,213,195,182,156,150,158,132,88,52,16,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,145,146,149,150,151,153,156,160,161,163,164,165,166,169,171,171,173,174,177,177,178,178,178,176,178,179,182,182,144,147,149,152,152,156,157,160,162,164,164,166,168,168,170,173,173,175,176,177,179,179,180,182,182,181,181,183,145,148,151,152,155,156,158,161,162,163,164,167,172,168,166,168,177,175,177,176,178,180,181,183,183,183,184,183,145,148,153,154,155,156,159,161,165,172,166,154,157,187,172,142,135,179,174,182,180,179,182,184,183,183,185,185,146,150,153,157,157,155,156,161,164,176,186,164,106,150,183,133,92,118,146,128,171,183,183,185,185,185,186,187,148,152,153,156,155,159,195,181,154,107,171,165,100,108,169,122,79,87,132,82,116,195,183,185,186,186,186,185,149,152,155,158,151,181,224,193,139,90,144,163,103,84,164,155,75,89,138,95,101,194,183,185,187,187,187,188,149,151,156,160,154,197,184,198,149,97,116,180,121,57,157,173,85,88,165,101,98,199,182,187,189,189,188,190,150,154,157,158,157,209,165,163,178,120,71,178,132,29,107,187,140,109,136,108,109,169,190,187,189,189,190,191,152,154,157,157,164,206,166,143,133,99,45,91,104,31,63,172,151,133,123,129,129,109,185,190,190,190,192,192,153,156,160,155,174,204,173,153,128,106,93,68,100,85,81,136,156,151,135,119,132,126,149,197,188,191,193,194,155,156,162,152,199,202,166,137,127,112,92,97,126,103,115,131,145,136,113,139,173,144,119,195,190,193,193,195,154,157,161,158,212,191,160,131,114,94,88,106,126,116,133,156,134,94,133,193,178,160,111,181,196,193,195,194,155,160,158,169,223,188,161,133,119,100,97,109,120,134,144,164,164,169,165,165,162,152,110,153,203,194,195,194,156,160,157,176,227,190,167,143,117,102,98,113,131,148,152,168,188,186,175,161,141,123,101,114,204,194,195,194,157,161,155,186,232,191,173,152,121,103,105,109,136,156,177,186,189,179,173,156,137,114,88,95,202,196,196,195,160,163,152,192,234,190,178,156,136,118,115,113,147,179,196,195,184,170,164,152,130,109,82,104,205,197,198,197,158,164,153,198,236,200,184,168,153,127,121,139,162,199,203,195,184,168,152,141,121,105,74,154,208,194,199,200,162,166,156,193,237,210,192,179,168,148,133,159,167,192,199,191,182,167,147,127,103,83,93,201,199,197,199,200,163,163,159,182,241,218,201,181,173,159,146,158,172,192,197,185,182,170,146,118,94,68,160,206,197,199,199,200,161,164,163,168,241,223,198,178,168,157,154,160,175,195,195,177,173,170,143,126,83,109,207,197,198,198,199,201,164,164,165,162,237,224,191,183,173,165,165,168,182,188,181,171,160,156,147,121,82,185,204,200,200,199,200,202,162,165,165,163,240,217,191,197,185,177,174,170,179,182,166,160,149,146,139,90,148,209,198,200,200,200,201,203,163,165,163,170,241,204,199,205,193,190,182,170,175,177,163,152,141,130,99,128,205,199,199,201,200,201,202,203,164,166,160,180,240,217,204,199,192,196,188,168,166,169,159,144,129,98,108,205,198,200,200,201,201,202,202,203,162,165,159,189,242,228,199,191,195,201,188,159,157,156,151,134,114,77,176,202,197,200,201,201,202,202,202,203,162,165,157,202,239,229,198,188,196,196,179,157,147,151,144,125,89,109,210,195,198,198,201,201,202,202,202,203,163,167,157,210,241,229,195,186,192,190,173,154,144,156,137,116,75,153,208,198,198,200,202,202,202,202,202,203
23,168,168,168,167,168,169,168,167,166,165,165,163,163,162,161,161,160,159,156,155,154,153,151,149,149,143,44,23,171,170,170,169,169,170,170,170,169,167,168,167,165,164,163,163,161,161,158,157,156,155,153,150,153,137,31,20,171,171,171,171,172,172,172,171,172,170,170,170,168,167,166,164,162,162,161,159,158,157,156,153,162,113,20,19,174,174,173,175,175,175,176,175,174,172,170,170,171,169,169,168,167,163,162,162,161,160,158,153,165,92,11,14,177,176,176,177,177,177,177,177,176,175,174,173,164,165,168,165,160,168,166,163,163,161,159,156,161,68,11,7,178,178,178,178,179,178,178,178,177,176,176,163,133,127,140,138,126,109,161,167,163,163,162,160,157,45,12,1,179,180,181,181,181,181,179,180,179,179,171,151,157,135,134,144,140,83,98,179,164,164,164,162,165,64,10,3,182,181,182,182,182,183,182,181,181,180,171,157,141,105,84,114,105,105,60,134,177,164,164,162,169,93,18,5,183,182,183,183,183,184,184,182,182,178,173,152,124,76,109,125,130,103,91,62,148,172,165,163,166,118,80,10,184,183,184,184,184,184,185,183,183,174,169,135,126,78,176,184,183,150,104,70,124,177,167,165,166,137,111,49,185,184,185,184,185,185,186,185,183,168,160,122,119,111,188,180,180,185,172,156,172,172,169,167,168,147,95,134,185,186,186,185,187,188,186,188,179,165,153,114,105,143,169,156,154,139,148,182,174,172,170,169,169,151,123,128,187,187,188,188,188,188,187,187,164,155,144,129,132,143,147,148,149,130,76,167,172,172,171,170,170,160,144,140,189,189,189,189,188,188,189,166,139,139,145,154,163,171,170,161,146,120,75,155,159,140,172,171,168,170,154,112,190,191,190,189,189,191,182,163,149,142,143,145,155,150,139,131,121,120,84,129,171,120,142,179,170,169,169,127,190,191,191,190,190,192,181,162,151,138,132,138,145,147,151,146,129,118,91,64,133,99,118,183,170,170,169,163,192,193,193,192,191,195,174,167,170,146,137,138,143,150,143,141,138,82,59,32,74,51,114,186,172,172,169,169,193,195,196,197,193,198,168,166,167,140,133,141,149,151,145,142,128,70,38,26,33,60,169,177,174,172,170,168,195,196,196,196,195,199,169,150,165,157,157,158,153,152,141,129,93,55,41,35,43,159,185,175,175,174,172,170,194,195,195,195,194,198,168,146,174,167,161,155,129,115,100,70,66,58,42,31,133,190,176,177,176,174,172,169,195,196,195,195,195,199,166,149,168,158,151,140,112,75,40,45,67,52,35,63,181,178,177,176,174,170,171,172,196,197,197,196,195,200,166,151,158,150,149,142,113,64,32,48,45,43,35,108,192,177,177,174,172,176,171,151,196,197,197,197,196,200,164,152,153,149,152,151,105,48,27,29,36,50,40,149,189,178,177,182,181,143,105,115,196,196,196,197,195,200,164,149,151,160,164,141,88,56,37,40,54,50,62,183,181,186,182,139,99,57,108,122,203,204,204,205,203,208,162,144,154,167,159,124,85,63,42,45,60,39,116,201,183,154,98,41,37,38,115,133,146,151,154,157,162,170,143,144,160,167,154,115,79,65,45,45,47,59,177,154,95,50,33,35,33,27,95,144,86,85,84,83,86,84,120,150,158,160,144,108,77,63,44,42,44,65,83,49,28,43,31,33,24,24,54,145,101,101,103,101,97,96,133,151,152,147,125,97,68,56,42,37,47,43,45,32,25,44,27,27,25,26,23,95
20,47,50,54,62,80,96,102,106,116,122,126,130,134,141,134,144,147,143,145,144,144,144,145,143,143,143,141,139,47,51,55,64,84,100,106,111,121,127,131,135,137,167,111,108,140,149,150,149,148,148,148,147,146,146,146,144,48,52,56,67,87,103,109,116,126,132,137,142,143,181,121,110,112,116,162,153,153,152,152,152,150,149,150,149,49,54,57,71,91,105,111,119,130,137,141,148,147,187,123,115,147,74,155,160,158,157,156,156,155,154,154,152,50,55,57,72,93,107,113,122,134,140,146,151,152,183,121,97,164,68,126,171,161,163,162,160,159,159,158,156,50,54,57,75,95,109,116,124,136,143,148,154,156,183,144,85,158,90,100,176,165,167,166,165,163,163,162,161,51,55,58,78,97,111,117,127,139,146,151,156,157,187,151,80,157,120,85,174,172,171,170,169,169,168,166,165,52,55,59,79,98,113,119,129,141,148,154,160,161,190,139,76,150,127,75,168,177,174,174,173,172,171,170,169,53,55,61,81,100,115,121,131,143,151,157,163,164,198,153,77,151,152,77,161,182,177,178,177,176,175,174,173,53,55,61,82,102,117,122,133,145,153,158,163,166,190,147,74,139,164,84,150,188,179,180,179,179,179,178,175,53,56,63,84,104,118,123,136,148,154,163,162,138,172,108,61,133,159,82,138,193,182,183,182,182,181,178,177,53,55,64,86,106,119,126,139,150,156,170,193,167,163,139,62,115,153,77,124,197,184,184,183,183,186,192,186,53,54,65,88,109,121,127,140,151,154,171,208,195,131,137,118,87,95,66,113,195,184,192,196,190,173,132,73,54,54,66,90,111,123,128,141,161,149,145,152,185,142,79,109,124,81,46,86,203,192,164,121,83,49,23,26,52,54,68,92,111,124,130,140,182,199,161,97,133,181,97,52,105,119,72,55,133,81,39,24,22,33,39,34,50,51,67,92,112,123,131,143,173,175,186,131,78,165,171,67,73,128,124,72,28,20,23,28,27,20,36,32,49,50,67,92,113,123,130,146,165,105,115,148,123,128,173,93,71,117,136,110,53,21,23,15,33,20,23,33,48,50,68,93,114,124,132,147,175,144,94,82,135,123,81,73,66,75,125,124,86,38,28,14,18,29,18,24,44,45,67,94,116,126,135,149,180,153,92,74,82,93,87,104,110,100,125,119,100,58,13,32,12,19,19,21,74,75,81,91,105,112,120,126,166,145,105,100,102,113,129,149,174,177,147,95,90,58,0,26,26,12,18,15,79,80,80,77,80,81,85,76,126,179,145,108,106,134,153,182,198,179,140,91,73,47,0,9,31,21,18,11,80,82,84,86,86,86,89,84,106,184,157,125,108,143,153,189,197,173,135,92,70,46,0,0,23,24,22,15,82,84,84,86,86,88,90,88,93,177,174,150,109,148,151,183,187,157,125,94,70,46,9,0,11,24,23,19,82,83,83,84,84,86,88,91,85,158,181,161,115,147,148,162,179,156,121,92,70,37,21,0,0,23,21,18,81,81,83,83,84,85,87,90,83,123,178,163,128,151,132,138,163,165,122,87,69,24,24,2,0,15,22,14,81,82,83,82,85,85,86,88,89,89,155,174,144,152,127,116,150,155,113,78,62,14,23,16,0,0,22,9,81,82,83,83,84,85,86,87,89,85,108,171,155,144,127,99,122,132,100,79,44,0,19,25,2,0,12,18,80,81,82,82,83,84,85,85,87,90,84,152,164,140,120,103,98,114,99,83,15,0,5,27,13,0,0,16
12,114,119,129,145,151,158,163,169,170,172,176,178,181,183,186,189,190,191,192,194,195,196,197,197,198,198,197,198,114,119,130,146,153,160,164,169,170,173,176,179,182,184,187,189,192,192,194,195,196,197,198,198,199,199,199,199,115,120,132,146,154,161,166,169,172,176,177,178,184,189,187,192,184,194,196,198,198,198,199,201,201,202,201,200,117,121,135,148,155,162,166,170,173,177,181,193,158,159,197,204,151,141,198,194,197,203,200,203,202,203,203,202,117,123,136,151,157,164,168,172,178,172,211,210,167,132,178,207,164,120,146,160,140,187,208,202,204,204,204,204,118,125,137,151,158,164,169,173,179,173,231,218,184,149,157,208,176,148,114,157,129,132,205,205,205,205,206,206,120,126,141,153,158,165,170,174,177,181,233,237,199,155,152,212,180,154,110,145,150,112,177,213,204,206,208,208,120,128,143,153,160,166,172,176,172,199,208,227,214,159,143,217,180,149,106,142,147,113,186,212,208,208,210,210,122,128,143,154,162,168,170,169,179,207,203,192,198,150,123,194,178,138,104,144,140,118,200,212,210,210,210,210,122,129,144,154,162,166,179,222,232,172,131,138,175,133,108,157,146,121,108,143,131,128,211,211,212,211,211,211,122,131,148,154,163,161,215,255,207,153,130,106,158,134,103,139,134,116,106,131,121,135,215,210,213,212,212,212,123,133,147,156,162,170,228,199,186,159,143,106,141,168,111,135,163,130,115,157,136,143,221,211,213,213,214,214,123,134,149,158,159,184,223,169,173,172,147,119,94,131,93,109,158,127,117,176,156,112,166,222,213,215,215,215,124,135,150,157,158,193,217,174,150,172,145,135,83,67,92,119,126,120,147,154,130,109,119,213,216,215,215,215,124,137,151,157,158,197,234,189,157,145,136,122,78,88,135,174,180,170,170,152,135,130,131,214,217,216,216,216,125,140,153,160,157,204,232,189,171,138,118,112,96,121,174,199,200,190,173,148,140,125,158,223,216,217,217,217,126,141,155,161,158,205,228,199,179,146,129,150,143,177,207,211,205,184,161,146,129,116,192,222,217,218,218,218,127,141,153,161,161,200,220,194,175,150,149,160,153,208,210,209,205,176,152,142,122,136,219,217,218,219,219,219,128,143,153,162,164,188,217,190,172,154,152,144,159,202,200,206,194,165,145,137,117,177,225,216,220,219,219,219,129,144,153,161,168,180,215,186,173,163,156,154,177,195,199,199,178,155,140,127,125,210,220,219,220,220,222,222,131,147,156,162,170,173,207,191,184,182,167,160,183,192,194,179,160,144,134,119,155,224,217,219,222,222,223,222,132,146,155,164,172,171,197,202,185,179,165,154,163,179,179,161,141,134,129,123,201,222,218,219,222,223,223,223,134,148,155,163,171,174,189,211,179,172,159,146,142,155,155,145,131,132,120,164,224,218,220,222,222,223,223,223,134,149,155,164,171,176,183,218,192,169,150,140,145,146,146,140,129,126,129,211,219,219,222,223,223,223,223,224,134,149,156,164,171,176,180,216,206,173,152,150,159,147,146,144,130,111,162,225,218,221,223,223,224,224,224,224,136,149,156,163,173,174,192,228,218,182,170,166,164,146,137,134,125,101,172,227,218,222,223,223,224,225,225,225,136,150,157,166,168,194,218,211,237,189,178,165,159,144,132,124,120,98,175,227,218,222,223,223,224,225,225,225,137,151,157,166,169,226,233,183,221,195,182,163,154,141,123,121,119,100,186,226,219,223,224,224,225,225,225,225
13,159,172,182,185,190,197,207,212,218,221,223,228,233,237,238,241,246,247,249,250,250,252,253,251,251,251,253,254,160,174,185,188,193,201,210,214,218,222,225,230,234,238,242,244,248,249,250,252,254,252,253,254,254,253,255,255,165,178,188,190,196,204,214,218,222,226,229,233,237,240,244,247,250,247,248,250,254,255,255,255,255,255,255,255,167,182,191,193,198,206,214,219,224,228,231,235,239,242,247,248,251,255,255,255,194,225,255,255,255,255,255,255,169,183,192,195,200,209,216,222,227,231,235,239,243,246,248,255,253,255,255,255,176,124,168,193,233,255,255,255,171,184,191,196,203,210,217,225,230,233,236,241,247,245,255,236,197,203,255,255,176,112,148,190,121,237,255,255,175,187,193,197,205,212,219,227,230,235,239,244,245,255,255,255,213,155,203,255,230,121,166,192,108,215,255,255,177,189,195,198,206,214,222,229,231,238,238,254,238,190,255,255,253,181,108,244,252,127,160,207,114,235,255,255,179,191,198,201,208,215,224,230,235,234,249,255,246,165,145,255,255,217,106,129,219,121,180,234,136,255,255,255,180,192,200,204,209,218,226,232,234,245,255,255,255,217,111,216,255,203,129,52,113,83,177,207,168,255,255,255,183,196,202,205,213,223,228,233,234,255,249,239,255,240,133,137,255,184,121,52,83,131,178,167,128,255,255,255,185,200,204,206,217,226,231,230,255,255,247,208,255,218,139,107,243,191,121,59,140,202,193,167,138,185,255,255,188,200,206,210,219,228,233,234,255,255,226,190,241,177,121,76,228,233,125,119,242,233,189,135,145,134,255,255,191,202,208,212,223,233,236,247,255,255,224,164,210,163,115,42,193,231,119,219,255,226,185,145,137,115,242,255,194,206,209,213,227,237,240,252,255,255,243,178,159,170,94,59,182,241,216,255,246,207,174,141,114,130,255,255,199,209,211,217,232,241,243,255,255,255,251,199,137,136,137,205,255,255,255,255,227,187,161,137,93,202,255,255,203,213,214,221,234,244,246,255,255,255,255,205,198,202,213,250,255,255,255,250,210,180,150,118,102,255,255,255,206,216,218,226,239,247,247,255,255,255,255,225,232,211,215,255,255,255,255,233,199,171,142,98,133,255,255,255,210,219,222,232,245,253,254,255,255,255,255,248,243,213,228,255,255,255,243,210,180,154,132,77,217,255,255,255,214,222,226,237,249,255,255,255,255,255,255,255,243,217,231,255,255,239,219,189,168,151,100,156,255,255,255,255,218,226,230,240,251,255,255,255,255,255,255,255,250,233,227,252,255,229,201,175,159,129,130,255,255,255,255,255,221,230,233,244,254,255,255,255,255,255,255,255,255,255,230,241,252,221,179,160,145,113,255,255,255,255,255,255,225,231,236,246,255,255,255,255,255,255,255,255,255,254,224,230,231,206,155,151,116,198,255,255,255,255,255,255,227,236,238,249,255,255,255,255,255,255,255,242,255,244,220,221,215,189,157,133,130,255,255,255,255,255,255,255,229,236,240,252,255,255,255,255,255,255,255,245,255,255,240,209,206,183,170,112,183,255,255,255,255,255,255,138,231,236,241,254,255,255,255,255,255,255,255,255,255,255,245,205,199,181,173,104,215,255,255,255,255,239,123,75,232,237,242,255,255,255,255,255,255,255,255,255,255,255,248,213,198,181,171,101,229,255,255,255,174,77,56,63,232,239,244,255,255,255,255,255,255,255,255,255,255,255,241,218,200,184,167,98,222,255,255,221,90,90,73,36
16,103,110,115,116,121,127,132,137,140,144,150,152,155,157,159,162,164,166,168,170,171,172,174,175,175,174,175,176,105,112,115,116,122,127,133,138,141,145,151,153,156,160,161,163,166,167,169,172,174,175,177,177,176,176,177,178,108,114,116,118,123,129,135,139,143,148,152,155,159,162,163,166,167,170,171,173,176,176,177,179,178,178,180,180,107,115,117,120,124,130,136,141,145,151,154,157,161,163,167,168,170,172,174,175,176,177,178,179,181,182,182,183,109,115,118,121,127,133,138,143,147,152,155,156,161,165,166,168,171,172,176,177,177,177,180,180,181,184,184,184,111,118,120,122,128,134,139,145,149,155,154,166,164,163,178,167,167,179,177,176,178,178,181,182,184,186,186,185,114,120,122,124,130,136,141,147,152,152,167,216,193,206,214,175,143,145,179,187,182,181,182,185,185,187,188,187,114,122,123,126,132,137,142,150,143,195,219,225,222,226,209,176,146,106,99,143,179,190,185,185,187,189,190,189,115,122,123,126,133,139,144,145,174,226,225,227,224,211,193,163,119,106,82,75,94,140,188,190,187,190,191,191,118,123,125,128,135,143,140,175,228,224,226,225,208,188,171,134,104,110,83,89,78,73,109,186,193,190,192,192,117,122,125,128,135,143,138,197,224,224,226,217,191,158,129,99,101,98,87,98,85,82,70,95,189,194,192,193,117,123,125,129,136,145,142,208,226,225,211,192,168,123,93,92,75,99,96,103,91,84,81,68,103,208,195,193,119,125,127,131,138,146,144,214,228,215,179,159,122,93,82,50,29,105,99,101,94,88,79,81,70,121,188,198,121,127,129,133,139,148,143,209,228,215,179,126,83,63,11,0,28,100,97,105,93,85,81,85,71,0,68,212,123,128,129,133,140,149,143,199,228,219,175,101,72,25,0,0,28,100,107,113,90,82,83,82,23,0,85,218,124,128,130,133,140,148,145,181,228,215,152,82,52,19,0,11,30,75,129,106,88,80,85,35,0,0,140,217,123,128,131,134,141,149,151,166,228,199,125,74,64,66,37,49,48,89,157,84,85,86,46,0,3,0,176,209,124,130,131,134,142,149,151,168,224,167,93,83,88,77,69,62,51,166,144,79,87,44,0,0,0,0,198,205,126,131,131,135,144,152,150,187,222,138,93,98,89,86,90,50,127,194,124,89,48,0,0,4,0,22,210,203,128,131,132,137,146,154,148,194,221,109,126,80,34,58,58,68,211,191,122,74,14,0,2,0,0,54,222,202,128,131,132,138,146,154,147,209,200,79,155,75,46,55,35,88,228,202,143,45,10,0,0,0,0,113,223,202,127,130,133,138,145,150,160,223,128,99,172,73,70,79,58,75,218,204,155,30,0,0,0,0,0,143,220,203,125,129,131,136,146,148,165,157,105,168,155,73,82,85,83,63,165,205,158,37,0,0,0,0,0,137,221,203,127,131,132,137,147,153,156,157,166,180,141,77,90,92,90,63,51,130,94,0,0,0,0,0,0,144,221,204,128,131,133,138,146,153,158,164,164,180,132,81,88,88,65,23,0,0,0,0,0,0,0,0,0,152,221,205,128,132,133,139,146,153,158,164,167,180,123,75,78,68,25,0,0,0,0,1,0,0,0,0,0,93,228,204,129,132,134,139,147,153,160,166,168,182,132,81,65,46,10,2,12,14,15,14,7,2,0,0,0,96,228,205,128,132,136,139,147,154,161,165,171,172,111,85,69,51,26,17,24,22,24,20,12,6,0,3,0,123,227,207
16,183,185,185,188,193,196,199,202,205,207,208,210,213,214,214,216,217,218,220,219,220,221,220,220,220,219,219,220,184,185,186,188,193,197,200,202,206,207,208,211,213,215,218,220,221,221,224,225,224,223,220,220,222,222,221,220,183,185,186,188,193,198,201,204,206,208,210,214,215,213,205,197,191,188,187,192,201,217,228,224,221,222,222,222,185,186,186,190,194,199,201,205,207,206,204,199,188,179,168,156,146,143,143,133,125,130,168,206,228,221,223,223,185,185,186,189,195,197,201,199,208,182,179,170,166,167,162,153,145,134,131,133,121,103,101,109,165,227,224,223,184,185,187,192,195,202,213,214,224,190,181,166,159,164,158,150,144,138,126,128,130,112,108,106,95,168,232,222,185,186,188,193,192,207,229,226,224,200,183,162,150,153,152,151,142,142,130,126,124,113,112,109,112,100,202,231,184,186,189,193,193,201,221,229,225,196,178,149,142,142,141,147,142,137,137,128,124,117,113,108,114,100,133,237,185,186,188,193,193,208,219,234,224,193,161,139,126,132,134,140,141,136,142,137,121,119,121,112,104,115,95,200,185,187,188,193,193,208,223,235,216,185,139,124,106,119,136,144,149,144,147,145,124,117,125,109,107,117,100,132,185,187,190,193,197,202,225,235,207,163,126,122,91,75,136,148,164,161,162,150,128,121,128,109,109,116,115,92,186,187,188,193,197,196,226,230,193,150,118,109,75,46,110,142,162,186,185,163,129,123,130,110,110,116,120,106,186,187,188,192,198,198,221,220,177,144,112,99,91,71,97,123,167,196,185,163,128,125,120,110,111,113,117,117,185,186,189,193,197,200,213,202,161,137,103,107,106,104,109,98,186,191,168,156,134,126,113,112,113,114,116,119,182,184,187,191,194,199,207,190,146,115,94,114,111,105,96,115,198,175,163,152,133,114,113,113,113,116,117,119,182,185,187,191,195,201,217,183,128,115,85,102,107,126,163,192,188,161,159,141,115,105,112,115,114,116,116,117,185,185,188,193,195,202,217,177,122,144,131,148,190,220,220,198,166,156,148,123,102,107,112,117,118,117,116,115,184,185,188,193,195,203,223,174,111,191,220,220,223,222,208,187,150,139,131,125,106,108,113,116,120,119,118,118,183,185,188,193,195,204,218,161,116,208,216,216,218,220,211,173,142,116,142,145,114,113,113,116,120,119,120,119,181,184,188,192,193,204,213,136,133,220,215,216,218,221,213,172,129,122,189,163,131,121,115,117,119,119,120,121,182,185,188,191,193,205,203,118,154,220,213,216,218,220,216,181,105,158,222,175,149,129,120,116,118,120,121,123,179,181,185,192,190,215,195,107,181,217,214,215,219,222,214,191,113,179,236,185,164,141,128,120,119,119,120,122,179,183,187,189,182,230,166,115,198,205,207,209,210,212,205,189,136,161,229,188,175,153,138,127,123,122,122,125,139,139,142,143,138,169,132,119,143,142,143,147,148,149,149,149,137,133,147,148,181,164,149,138,132,126,124,126,131,130,130,132,131,130,130,129,130,132,131,130,132,130,130,132,130,128,125,124,168,174,158,146,138,132,128,126,134,136,136,136,138,137,136,135,137,139,141,138,137,138,138,137,138,136,138,128,153,185,166,153,144,139,134,131,135,135,135,136,137,136,134,136,137,137,137,137,136,137,136,135,141,145,143,138,141,186,176,160,151,147,140,136,136,136,135,135,137,136,135,137,136,136,136,136,135,137,136,135,136,136,136,137,134,182,185,171,162,154,143,137
6,189,189,189,189,190,190,190,189,188,188,189,188,187,186,184,183,182,181,180,179,177,175,174,173,172,170,168,165,193,193,193,194,193,193,193,192,192,192,192,190,189,187,186,185,184,183,182,181,180,178,176,175,174,172,171,168,195,196,196,195,195,196,196,195,194,194,195,193,192,191,189,188,187,186,185,184,183,181,179,178,177,175,173,171,197,198,197,197,197,197,197,197,197,197,197,196,195,194,193,191,190,189,187,186,184,184,182,181,180,178,175,173,200,200,200,200,200,201,200,200,199,199,199,199,197,196,195,194,193,191,190,188,187,186,185,183,181,181,178,177,201,201,202,202,202,202,202,202,202,202,201,200,200,199,197,196,195,194,193,191,189,188,188,186,184,182,180,179,203,203,204,204,203,204,204,204,204,204,203,202,202,201,200,198,197,196,195,194,192,190,189,188,187,184,182,180,204,205,205,206,206,207,207,206,206,206,206,205,205,203,201,201,199,198,198,197,195,193,192,190,187,184,184,183,206,206,207,207,208,208,208,208,208,208,208,207,206,206,204,202,199,194,187,181,177,177,172,163,166,175,171,181,208,207,207,207,208,209,209,209,210,208,202,196,191,188,180,171,164,159,143,138,145,149,142,137,165,190,162,169,209,209,209,209,209,209,210,210,198,175,156,153,150,155,155,151,146,141,133,128,139,129,130,127,131,145,140,172,210,211,210,211,210,211,205,190,175,159,139,138,144,147,150,146,138,118,112,105,104,107,119,123,131,153,174,188,212,212,213,213,212,197,179,174,169,152,124,105,110,110,111,113,114,107,116,140,165,179,187,192,195,196,194,192,212,213,214,213,192,171,170,169,164,152,131,95,71,58,134,182,193,196,200,205,206,204,202,201,198,197,195,194,214,215,213,192,169,169,172,172,172,170,152,106,67,59,87,122,155,195,209,208,207,204,203,202,200,199,197,196,215,209,190,176,174,177,180,178,177,172,131,81,60,61,61,60,60,99,199,209,208,207,205,203,202,200,198,196,198,179,174,180,181,180,181,170,167,158,105,67,55,57,63,65,64,59,156,212,209,208,207,204,202,201,199,196,174,173,181,184,182,180,172,161,165,160,134,104,63,46,54,58,60,52,119,211,210,208,207,205,203,202,200,198,175,177,181,185,184,177,163,162,167,167,165,129,76,54,54,50,59,116,186,211,209,208,208,206,204,202,201,199,177,179,185,186,179,166,159,160,158,158,151,107,64,54,56,55,71,199,215,211,211,209,208,207,205,203,201,200,179,180,181,175,167,161,159,156,149,142,133,98,56,45,52,54,87,203,214,211,211,209,208,206,204,203,202,201,178,174,165,161,163,160,153,147,137,135,141,124,74,48,49,67,178,214,212,209,209,208,207,205,203,201,200,199,166,158,154,157,153,142,134,129,133,142,153,136,80,57,56,73,201,215,212,209,208,208,208,206,205,204,199,190,159,157,155,147,137,128,129,131,135,136,136,104,66,55,54,110,210,215,213,211,211,210,209,208,185,157,126,98,153,149,141,132,131,130,126,116,107,100,88,65,78,107,140,202,216,216,214,206,190,189,185,161,97,69,54,53,135,123,105,105,118,121,111,92,77,70,80,127,194,214,219,219,210,166,140,109,79,83,75,65,53,57,48,40,94,77,61,71,89,91,82,72,76,109,150,180,190,191,193,189,144,84,73,55,38,48,40,42,40,41,46,30,72,53,62,88,97,95,92,92,99,106,111,110,108,109,107,94,73,62,55,53,30,39,37,34,35,34,37,29
20,147,150,155,158,162,163,166,168,169,170,173,174,175,173,174,177,173,174,173,175,173,173,170,168,167,166,166,164,149,154,159,160,164,168,169,171,173,173,174,177,174,193,178,158,178,178,176,175,176,174,174,173,172,169,168,167,153,158,161,163,167,170,172,175,175,176,177,180,172,220,183,107,178,153,179,177,177,177,177,176,175,172,169,169,156,160,164,166,170,174,175,177,178,179,181,185,176,224,183,116,203,108,170,185,179,181,181,178,177,176,173,171,158,164,167,168,173,176,177,179,181,183,184,187,179,224,185,130,225,114,151,194,184,185,184,182,181,178,176,175,160,167,168,171,176,178,180,182,185,186,186,189,181,234,207,133,229,139,140,196,186,188,187,185,183,182,179,178,163,167,171,174,178,182,183,185,188,188,191,193,184,240,195,142,240,158,137,199,190,192,190,188,186,184,183,180,165,169,173,176,181,184,185,188,188,189,189,191,193,240,179,158,240,154,131,202,194,195,193,191,189,187,186,184,167,172,175,179,184,186,188,190,193,191,211,208,190,244,185,161,244,145,129,206,195,195,194,193,190,189,188,186,169,175,178,181,185,188,191,193,189,197,255,255,185,140,159,161,239,145,139,209,196,198,197,196,194,192,191,189,173,177,180,184,187,189,194,191,216,231,208,215,190,106,77,127,203,133,147,212,200,201,199,198,196,195,193,192,174,179,183,186,190,193,192,205,255,255,190,151,195,165,149,108,137,118,148,214,203,203,201,200,198,197,195,194,176,179,184,189,192,196,193,219,222,163,226,182,155,218,210,133,87,90,148,215,203,205,202,201,201,200,198,196,178,183,186,191,193,196,193,222,222,102,101,105,70,178,213,151,91,74,146,216,205,208,205,204,204,203,201,200,180,184,187,192,195,199,196,227,201,156,130,82,77,95,228,200,124,66,145,220,208,210,207,206,207,205,202,201,182,186,191,194,197,202,197,233,243,193,135,102,112,93,213,240,162,69,131,225,210,212,210,208,208,207,205,202,182,188,192,196,200,204,199,239,240,164,118,108,129,134,217,255,193,97,119,225,211,214,212,210,210,209,207,205,185,191,193,198,202,206,200,240,239,172,136,132,144,168,252,255,203,119,118,225,213,215,213,212,213,211,209,208,186,192,196,200,204,208,204,241,252,193,155,150,164,218,255,245,189,126,111,225,214,215,216,214,214,212,210,210,188,194,198,201,204,211,206,240,255,212,164,165,186,247,255,241,179,125,114,224,217,218,217,217,217,215,211,210,190,193,196,201,205,210,205,234,255,224,180,169,203,255,253,227,177,120,105,225,221,220,218,219,219,218,214,212,190,193,196,201,205,210,205,230,255,226,197,187,206,255,243,206,171,112,97,222,221,219,217,216,217,216,214,212,190,194,200,204,207,210,210,220,255,235,214,215,202,251,230,195,165,105,93,223,223,222,220,217,217,215,212,215,190,195,202,205,209,210,214,214,248,245,223,226,196,218,207,174,153,93,97,231,223,224,222,221,217,217,224,203,193,197,202,204,209,213,215,212,239,255,231,211,179,181,182,154,157,79,121,240,223,227,224,220,228,223,189,106,193,198,202,204,209,211,225,230,242,255,223,184,142,147,169,151,146,60,165,240,226,228,225,233,197,120,73,56,195,201,206,211,214,222,181,81,167,255,188,156,124,142,180,140,113,68,230,233,230,231,236,181,89,69,62,50,152,158,165,170,175,186,97,0,89,250,200,160,124,158,186,109,86,18,122,224,216,225,176,79,66,59,48,46
19,130,133,135,135,136,138,138,137,138,139,139,139,138,138,137,135,140,137,134,134,134,133,133,133,131,132,131,130,133,134,136,136,137,139,139,139,140,140,140,140,140,138,139,132,104,122,140,135,136,135,135,134,133,132,132,131,134,135,137,138,139,140,141,141,141,141,141,142,142,139,151,130,84,71,143,137,138,137,136,135,134,134,133,133,135,136,138,140,141,141,142,143,144,141,142,143,142,144,159,131,99,57,133,140,139,138,138,138,135,134,135,135,136,139,141,141,142,143,144,144,144,143,144,145,142,149,157,126,94,52,133,143,140,140,138,136,139,136,136,136,137,140,141,142,143,145,146,145,144,144,144,146,142,153,152,107,78,46,131,140,136,132,136,156,124,134,138,138,139,140,142,144,144,146,146,146,146,146,146,145,142,151,148,114,108,120,143,132,142,138,148,184,91,127,140,138,140,141,144,147,146,147,147,147,147,147,145,149,151,150,143,140,148,162,155,137,136,137,116,95,96,141,140,139,141,142,145,147,148,149,148,147,145,152,160,169,172,162,144,124,119,112,109,90,82,81,89,109,141,141,140,140,144,145,146,147,149,149,151,154,154,166,170,168,159,146,140,137,128,69,69,96,118,129,145,150,143,143,142,141,146,146,148,149,149,155,170,162,160,155,157,157,154,154,151,150,141,68,102,159,149,149,145,144,144,144,143,141,147,147,148,150,147,164,178,165,158,157,163,165,167,159,151,145,118,60,79,156,144,146,146,145,145,145,144,142,147,148,150,153,149,163,173,155,149,160,167,169,158,150,151,153,137,64,50,147,148,147,146,145,145,146,145,143,148,149,152,153,151,164,164,149,151,154,148,147,153,161,152,154,147,71,35,117,155,146,148,147,145,146,145,145,149,151,152,154,154,169,151,152,153,144,134,157,160,150,144,143,119,67,33,92,159,148,149,148,147,146,146,146,151,152,153,155,155,163,159,163,161,162,166,166,154,147,139,128,101,58,32,73,161,150,151,149,148,147,147,146,152,153,154,157,157,157,179,169,161,162,163,153,140,133,144,155,147,79,22,99,161,150,151,151,149,148,148,147,153,154,156,158,159,154,175,174,155,150,135,106,130,164,161,149,147,85,48,151,155,153,152,152,151,150,150,148,153,156,158,157,160,156,159,167,154,149,140,147,168,159,139,127,119,72,43,144,157,154,154,153,153,152,151,150,153,156,158,159,160,159,156,164,173,166,158,161,155,139,129,115,96,52,50,153,155,154,155,154,154,153,152,150,155,157,158,160,161,161,158,161,173,160,145,148,140,127,106,75,47,55,135,160,155,156,155,155,155,154,153,152,157,159,160,160,163,164,154,161,163,153,136,130,110,89,63,38,23,125,169,156,157,155,155,156,155,154,154,153,157,159,161,162,163,165,155,158,159,146,126,114,98,73,51,39,73,167,157,159,158,158,158,157,155,154,154,153,156,159,161,164,164,165,156,149,155,141,119,109,107,73,51,41,86,171,159,160,160,160,160,159,158,156,155,154,157,159,161,164,164,167,156,145,146,140,115,99,76,58,52,46,52,161,162,160,160,160,160,159,159,157,156,154,157,159,160,162,163,166,154,144,137,138,128,109,79,61,55,46,51,157,162,160,160,158,158,158,158,155,153,152,157,159,161,162,163,167,147,147,143,134,122,111,82,62,55,45,59,163,160,160,160,158,158,158,157,156,155,153,157,159,161,163,163,168,142,155,160,148,119,92,70,55,53,38,98,169,159,160,160,159,159,159,158,157,155,154
10,29,32,38,42,52,72,86,96,100,105,112,118,124,128,140,128,132,143,141,142,143,143,143,141,141,140,138,135,30,33,38,42,55,75,88,98,102,108,115,121,126,131,177,108,94,149,142,142,145,145,143,142,141,141,139,136,31,34,39,44,58,78,89,99,103,109,117,125,127,141,176,117,72,145,146,145,147,147,145,145,143,143,140,139,33,36,40,45,60,78,93,102,106,111,120,127,132,142,177,140,65,136,152,148,150,149,148,145,146,145,144,141,33,38,42,46,61,80,96,104,107,115,123,130,137,139,178,167,78,125,158,151,151,151,150,150,149,147,145,144,34,38,45,47,64,84,97,106,109,117,125,132,139,140,190,179,89,111,164,152,153,154,152,152,152,150,148,145,36,39,45,48,67,86,100,108,112,119,129,136,142,141,188,175,100,99,165,155,157,157,156,155,154,152,150,149,36,41,46,48,67,87,103,110,113,123,131,138,145,142,192,186,101,78,166,159,160,160,159,157,155,155,152,152,36,40,45,49,70,90,105,112,116,123,132,142,146,144,197,196,116,60,161,162,161,161,161,159,158,158,155,154,37,40,46,51,73,90,106,118,121,133,171,103,126,153,186,172,117,48,146,169,163,164,164,162,161,160,158,158,38,43,48,54,70,113,153,103,65,115,153,50,77,165,176,149,101,36,124,176,165,167,165,164,163,163,161,161,38,43,48,56,68,133,150,59,30,46,93,51,8,120,165,122,112,41,114,180,167,169,168,166,165,165,163,162,39,44,47,56,76,103,105,61,47,35,79,61,13,15,78,84,121,66,88,183,169,169,169,169,167,165,166,164,39,44,48,56,79,98,113,116,108,94,97,68,47,13,15,38,81,74,52,170,173,171,172,170,169,169,168,166,41,45,48,56,80,100,117,125,138,145,82,89,69,59,29,18,47,55,29,148,182,175,174,172,172,171,169,167,41,44,49,58,80,101,119,123,157,139,48,69,120,98,75,40,27,38,18,137,188,177,177,176,174,173,171,169,39,43,49,60,83,102,122,129,147,155,113,36,77,132,105,82,47,24,11,110,192,177,179,178,176,174,172,169,40,45,46,58,86,99,144,148,106,169,127,55,58,185,125,105,78,23,2,56,189,180,181,180,179,177,175,174,42,46,48,59,86,99,160,184,102,110,116,61,123,213,146,115,91,35,5,37,187,184,183,182,181,180,179,176,41,45,48,60,86,103,145,185,128,61,124,104,129,213,142,107,92,50,9,36,189,187,185,185,182,181,179,178,42,44,47,61,88,109,124,153,142,73,126,161,133,193,156,111,84,55,17,33,188,188,187,187,185,182,181,180,41,44,47,63,89,109,123,141,142,75,125,217,108,156,161,128,80,48,24,30,187,190,189,188,187,185,183,181,40,43,46,63,88,110,127,129,158,118,149,129,46,117,160,115,75,44,23,41,192,190,190,188,187,186,184,181,42,46,46,62,90,111,129,131,149,188,154,65,75,142,141,103,66,39,20,60,201,190,193,190,188,188,184,183,39,44,45,63,89,111,126,132,134,172,185,157,128,150,118,86,58,43,20,83,205,188,191,191,189,188,186,185,37,40,43,62,88,110,126,129,138,159,179,160,111,115,100,72,60,54,24,97,204,188,191,190,188,187,186,184,35,37,41,62,90,109,127,131,143,35,136,167,95,119,123,118,98,73,21,117,205,191,193,190,189,188,187,185,34,36,39,59,87,108,123,142,75,0,122,189,155,147,128,143,116,72,10,122,208,191,194,191,189,189,188,185
24,134,139,144,149,151,154,157,159,160,160,162,163,163,163,164,163,162,161,161,161,160,159,158,159,158,157,155,153,135,140,146,150,152,155,157,159,160,162,164,164,164,165,165,164,163,163,163,163,161,161,159,160,159,158,156,155,137,142,147,151,154,156,159,160,161,163,165,165,166,165,166,165,164,164,165,164,163,162,161,160,159,157,156,156,138,142,157,168,142,157,160,162,163,165,166,166,166,166,167,167,166,165,165,164,164,164,163,162,160,158,158,157,140,143,173,184,123,158,162,163,164,166,168,169,168,168,169,169,167,166,166,165,165,165,164,163,161,159,159,158,141,144,177,180,116,157,164,165,167,168,170,171,171,171,170,170,169,168,168,166,166,166,165,164,163,161,160,159,143,146,177,184,114,151,166,166,169,170,171,172,173,173,172,171,171,170,169,168,168,167,166,164,163,163,161,160,144,147,174,190,122,148,167,167,170,171,172,173,173,173,173,173,173,172,171,170,169,168,167,166,165,165,163,162,146,149,170,194,128,140,168,170,172,173,174,174,175,175,175,175,174,173,172,171,170,170,169,168,167,166,165,163,146,150,168,202,144,126,170,172,172,181,176,170,186,182,165,174,175,174,174,173,172,171,169,168,168,167,166,165,147,153,166,211,166,132,196,183,163,205,177,139,195,190,139,149,179,177,176,175,174,173,172,171,169,167,167,165,148,154,164,204,178,160,225,186,168,211,180,139,192,182,141,117,169,180,178,177,172,165,158,153,167,168,167,166,150,156,162,202,196,191,232,188,168,216,176,147,202,173,128,97,149,182,178,176,153,130,113,103,150,171,169,168,152,158,163,207,214,206,234,192,156,214,169,152,200,165,108,81,138,179,178,168,132,106,110,130,161,173,171,170,152,158,169,205,208,200,224,193,147,202,169,154,192,152,84,66,133,180,173,146,115,131,166,175,175,173,172,171,153,158,177,203,182,184,207,188,142,194,171,155,186,134,78,99,148,171,139,116,126,174,180,178,177,175,173,172,155,159,186,219,170,162,188,178,137,196,166,152,182,134,149,169,162,141,108,116,168,183,181,180,180,178,176,174,155,158,193,234,183,150,178,175,147,200,148,145,191,184,189,172,145,124,107,162,186,184,183,182,181,180,177,175,155,158,196,239,193,145,172,183,171,197,142,171,212,193,178,161,128,112,147,186,185,183,182,182,181,179,177,175,155,159,195,236,197,155,165,177,172,190,195,216,208,186,169,145,114,126,182,188,186,185,184,182,181,179,178,175,156,160,194,236,206,176,163,187,220,233,233,212,195,179,159,124,111,164,190,189,187,187,186,184,182,180,179,177,156,160,185,237,215,186,175,198,233,239,229,204,181,160,139,113,148,189,190,189,188,189,186,185,184,181,181,179,156,162,176,231,217,190,183,205,237,234,215,195,167,140,119,136,187,192,191,190,189,188,185,185,184,182,182,180,155,161,173,220,207,190,186,205,226,216,195,174,150,125,121,176,192,191,190,189,188,187,185,184,182,182,180,177,129,130,140,207,200,195,193,202,215,204,176,150,132,112,116,135,134,133,132,131,131,131,131,130,128,125,132,154,107,104,108,196,207,203,201,204,209,192,158,133,119,104,99,98,97,96,95,94,93,93,93,88,92,123,164,176,110,109,107,195,221,209,208,205,199,181,147,124,110,103,103,103,102,101,100,98,97,98,101,119,165,191,180,161,111,110,106,190,231,215,215,200,188,175,147,117,103,103,102,103,103,102,101,101,100,98,132,191,197,178,170,147
1,147,152,156,157,160,163,165,166,167,168,169,170,171,170,170,171,171,170,170,170,171,170,171,170,170,168,167,166,151,155,160,160,164,166,168,169,170,171,172,173,172,173,173,173,174,175,175,173,174,175,174,175,174,172,171,171,154,159,162,165,167,170,172,173,174,174,176,176,176,175,180,180,176,180,179,177,178,179,179,179,177,176,175,174,157,162,166,168,172,174,176,176,177,179,179,179,181,184,158,167,184,180,181,180,181,181,182,181,180,180,178,176,161,165,168,173,176,178,179,180,181,182,180,184,173,193,148,117,201,186,181,182,183,184,184,184,182,181,181,179,163,168,172,177,178,182,183,182,182,184,181,202,165,150,163,91,150,165,189,184,187,187,187,186,185,184,182,182,166,172,176,179,181,183,185,185,185,187,184,208,165,143,177,84,133,105,192,188,190,190,191,190,188,188,186,184,171,175,178,182,184,187,188,190,189,190,183,211,176,138,198,107,146,105,167,198,191,191,193,192,191,190,189,188,175,178,180,184,187,189,191,191,191,199,168,162,201,124,196,121,143,128,140,204,193,195,194,193,193,192,191,189,177,181,184,188,190,191,192,196,193,208,165,125,209,118,180,139,158,178,119,200,198,199,198,198,196,195,194,191,178,182,185,189,191,192,195,198,194,212,171,132,205,124,183,162,138,196,119,181,205,199,200,199,199,197,196,195,180,184,187,190,193,195,197,198,196,219,173,140,227,144,172,181,118,200,140,151,213,201,201,201,200,200,198,198,182,187,190,191,195,197,198,202,199,215,171,131,220,124,128,181,101,205,167,129,212,203,204,204,202,203,201,199,183,189,191,194,197,198,200,204,200,216,189,110,185,137,129,169,129,182,159,119,200,208,206,205,204,204,202,201,184,188,192,195,198,200,203,204,203,222,176,109,155,208,159,157,197,160,132,108,178,215,205,206,207,206,205,204,184,189,194,196,199,203,205,205,205,215,184,179,134,171,177,206,197,148,132,110,132,221,206,209,209,207,207,206,186,190,196,199,201,203,205,204,210,213,187,179,130,150,217,215,192,203,154,108,95,211,212,210,211,209,208,208,187,191,195,199,203,205,205,204,213,222,171,149,159,190,185,150,146,235,217,166,86,188,218,211,214,213,212,210,186,191,196,199,202,206,205,206,214,237,175,141,142,132,119,126,178,214,213,175,119,157,225,211,214,213,212,211,188,190,195,198,200,203,205,205,210,246,198,136,151,150,178,217,231,203,190,153,97,140,226,212,213,213,212,213,188,191,195,199,201,203,206,206,208,240,226,147,171,162,212,236,230,211,179,145,75,141,228,211,214,213,212,213,188,191,196,199,202,205,206,207,208,237,242,166,186,166,202,242,240,213,166,131,73,150,228,212,215,214,213,212,188,191,195,197,201,204,206,208,207,228,241,191,204,178,184,247,239,199,157,116,74,180,225,215,216,215,214,213,191,195,201,201,203,207,208,209,208,215,237,217,204,191,165,240,230,189,149,104,76,202,221,217,216,215,216,214,172,177,183,190,194,200,202,204,208,206,231,236,208,186,151,217,221,176,136,94,94,226,227,228,222,216,215,216,90,93,95,100,106,107,110,114,119,115,210,227,194,177,148,184,200,160,121,95,105,181,177,177,198,225,219,212,92,92,92,92,93,93,93,93,95,81,184,216,186,172,144,162,187,155,112,95,89,84,113,172,205,203,214,211,93,97,105,103,102,100,97,98,101,89,180,215,190,166,151,161,185,147,95,88,115,180,228,230,202,171,170,208
23,164,165,166,168,168,169,169,170,171,172,174,175,175,172,170,171,171,172,173,171,172,172,173,173,172,173,170,170,166,166,167,169,169,170,172,172,174,175,174,172,172,175,186,195,189,169,168,174,175,173,173,174,174,174,172,172,166,167,168,170,171,172,173,173,175,174,177,184,194,207,210,205,190,178,166,167,134,157,177,176,176,175,174,173,167,169,170,171,173,174,173,175,176,174,214,220,201,193,190,168,131,134,130,115,115,172,177,176,176,176,176,176,169,170,171,172,173,174,176,177,173,183,225,207,167,168,143,118,146,147,139,147,174,178,176,177,178,178,178,177,170,170,171,174,175,176,178,179,172,192,225,199,148,113,129,163,182,183,183,183,179,178,178,180,179,178,178,178,171,171,173,176,176,177,179,180,174,209,225,195,157,132,185,183,191,191,171,179,178,180,180,181,180,180,179,179,172,173,176,176,177,179,179,179,179,222,215,204,148,138,205,210,221,213,140,174,191,181,181,182,183,182,182,181,174,176,177,177,178,180,182,176,188,225,206,205,165,200,225,223,215,188,125,120,146,181,184,183,183,183,182,182,175,177,177,179,180,182,183,175,203,225,204,212,223,225,219,205,192,178,181,143,80,143,191,182,183,184,183,183,177,178,179,181,182,182,183,179,218,223,216,215,218,217,211,206,207,208,210,176,101,110,194,185,187,186,185,185,178,179,181,182,183,183,180,205,220,218,215,209,213,215,215,213,207,193,179,149,103,89,154,191,186,188,186,186,179,179,182,182,184,179,201,225,220,222,216,210,205,207,209,202,192,180,181,166,100,86,106,188,188,188,188,188,180,182,184,184,184,178,211,225,224,224,218,203,198,203,204,200,192,187,190,175,107,81,113,194,189,189,190,190,181,182,184,186,186,184,205,225,223,224,222,212,212,205,198,193,182,178,174,147,109,80,146,198,188,190,190,191,183,183,184,187,191,186,200,225,223,225,223,212,214,194,164,166,158,149,137,136,107,96,179,197,191,191,191,191,184,185,185,188,191,187,197,225,224,225,219,209,206,182,140,112,99,103,131,136,102,120,199,194,194,193,191,191,185,186,187,188,191,188,194,225,224,225,218,208,193,170,146,117,38,74,137,134,98,150,204,194,195,195,194,193,186,188,189,190,190,190,192,224,224,225,219,205,209,208,143,79,56,103,128,115,93,175,200,194,196,196,195,193,188,189,189,191,191,191,191,222,225,225,220,211,213,195,140,80,75,115,102,92,112,200,196,195,196,197,196,196,188,190,190,191,194,194,192,219,225,224,220,216,214,182,143,107,71,86,93,94,126,206,194,196,197,198,197,196,188,191,191,192,194,196,192,217,225,225,220,220,216,183,142,116,70,81,104,96,141,208,197,198,199,200,198,197,190,191,192,194,195,197,193,217,225,224,221,220,213,184,144,121,88,91,109,96,165,207,198,200,200,201,200,200,189,191,193,195,196,197,193,217,225,224,222,219,209,186,148,124,97,100,111,101,189,202,200,201,201,201,201,200,190,192,194,195,197,198,193,217,225,224,221,216,202,177,146,121,104,103,102,124,209,199,201,201,202,202,202,200,191,193,194,195,197,200,195,216,225,224,218,206,190,168,138,120,112,107,93,173,209,201,203,203,203,203,202,202,193,195,196,197,197,201,196,215,225,224,215,194,175,151,131,123,116,97,121,208,203,204,203,204,203,203,203,202,194,195,197,198,198,202,198,216,225,224,214,192,174,152,132,122,112,106,190,208,203,203,204,204,204,204,204,202
10,193,194,194,196,196,198,199,199,198,199,200,198,197,198,196,195,194,193,191,190,186,199,188,145,182,180,178,177,198,198,200,201,201,202,203,204,203,204,203,203,202,202,201,200,198,196,195,195,188,211,200,120,176,184,180,179,204,204,205,207,207,208,208,208,209,209,207,207,208,207,206,205,203,201,200,200,193,215,202,122,169,191,183,182,209,210,211,211,213,213,213,214,214,213,213,212,213,211,211,209,207,207,204,204,198,219,190,115,168,197,187,186,214,215,216,217,218,217,217,217,219,218,218,219,218,217,216,214,213,211,209,209,203,223,195,119,168,202,192,191,218,219,220,221,222,222,222,222,224,224,222,224,224,223,221,220,217,215,214,213,208,232,202,125,174,206,196,194,221,223,224,224,225,226,227,227,227,226,226,227,228,226,225,224,221,220,218,215,215,239,192,174,178,208,201,198,226,227,227,228,228,229,231,231,231,230,231,231,231,230,228,228,226,225,223,222,224,233,212,200,123,211,204,201,227,230,231,232,232,233,234,233,232,233,233,233,234,233,233,232,231,229,226,221,194,183,220,199,101,191,215,205,232,232,234,235,236,235,236,237,236,236,235,236,237,237,237,235,233,234,234,237,224,186,164,181,127,115,220,209,235,235,237,238,240,239,240,241,241,240,241,241,241,240,240,240,237,224,204,221,241,209,172,135,139,97,159,224,239,240,241,241,241,242,243,242,242,243,243,243,243,243,240,236,244,214,171,135,160,224,223,181,114,109,117,225,242,242,243,244,244,244,246,245,245,245,246,246,244,245,221,174,194,240,206,150,56,156,218,145,99,90,128,228,244,244,245,247,246,246,248,248,247,247,248,248,246,243,231,200,155,224,235,180,92,63,96,149,130,89,138,235,245,246,247,248,248,249,249,248,249,249,249,249,248,233,233,234,188,175,244,191,133,75,76,190,182,98,146,238,248,247,249,250,251,251,250,251,252,251,252,250,247,215,183,223,204,130,197,206,137,84,107,185,203,112,139,239,249,250,251,252,253,252,254,254,254,254,255,251,247,230,160,156,186,98,133,212,137,92,120,180,191,108,134,239,250,251,253,254,255,255,255,255,255,255,255,254,238,216,184,140,161,128,111,202,194,128,125,183,146,91,157,243,251,254,254,254,255,255,255,255,255,255,255,253,244,251,223,159,149,158,118,176,220,155,112,160,122,84,204,240,254,255,255,255,255,255,255,255,255,255,255,255,243,255,232,191,160,150,146,208,205,131,107,142,112,104,238,235,255,255,255,255,255,255,255,255,255,255,255,255,245,250,244,208,173,164,183,251,239,188,147,139,100,139,250,234,255,255,255,255,255,255,255,255,255,255,255,255,249,234,237,218,190,178,187,243,240,210,167,137,89,179,251,235,253,255,255,255,255,255,255,255,255,255,255,255,255,229,235,225,215,194,188,236,230,193,149,122,93,222,246,239,254,255,255,255,255,255,255,255,255,255,255,255,255,232,220,231,225,199,175,217,204,172,137,95,125,250,237,238,255,255,255,255,255,255,255,255,255,255,255,255,255,251,211,220,214,195,167,186,186,153,122,77,187,253,237,237,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,218,205,187,167,167,185,153,102,112,246,244,241,238,255,255,255,255,255,255,255,255,255,255,255,255,255,255,241,221,202,195,184,166,179,147,86,180,255,240,243,246,169,171,177,182,186,192,198,204,208,212,216,222,230,228,234,226,206,213,191,172,172,134,88,208,249,239,233,188
21,72,86,101,114,122,125,135,142,148,153,156,158,161,163,166,167,169,169,169,168,168,167,167,165,165,163,162,162,71,87,103,115,122,126,137,145,151,155,158,166,166,167,170,172,173,174,173,173,172,171,170,170,169,168,167,167,73,88,104,117,124,128,138,147,151,162,167,121,153,176,173,175,177,177,177,177,176,178,178,174,174,173,171,170,74,89,105,118,124,129,140,148,152,166,174,113,103,182,175,178,178,179,179,180,182,141,160,182,176,176,176,175,76,91,107,119,125,131,142,150,155,163,180,142,80,162,182,178,182,182,182,183,194,128,101,188,180,180,179,178,77,93,109,121,127,133,144,151,158,161,190,158,83,130,190,181,183,183,184,185,199,144,83,177,187,183,183,183,78,95,110,123,128,135,145,153,160,161,189,173,88,97,189,184,185,186,187,189,201,146,82,161,193,184,185,185,79,97,112,125,130,137,147,154,161,163,180,181,108,82,174,188,187,188,189,192,198,138,85,151,196,187,188,187,81,97,113,127,131,139,149,157,163,167,175,195,143,87,149,195,187,190,190,193,194,143,89,151,198,187,189,189,82,99,115,128,133,141,152,159,165,170,172,201,160,94,120,197,189,191,192,197,196,150,91,157,199,189,189,188,83,101,117,130,133,142,153,160,166,171,171,201,170,98,98,189,192,193,192,200,187,141,93,165,198,192,197,201,85,103,119,132,135,143,154,161,167,172,173,200,183,116,90,172,196,194,194,205,174,131,88,183,209,194,169,133,86,104,120,132,136,146,155,163,168,173,175,193,202,148,98,146,201,194,195,208,178,131,90,155,118,80,59,45,88,106,122,134,138,147,157,164,170,175,176,182,190,155,103,120,201,194,197,206,171,134,82,49,39,41,43,55,88,107,123,134,139,148,159,165,171,174,184,175,133,118,107,101,192,197,199,194,158,126,68,41,42,44,35,41,88,106,123,133,138,147,158,165,170,171,195,184,153,163,106,80,171,199,182,171,148,109,60,34,31,46,42,32,89,107,124,134,138,148,159,165,172,173,201,205,189,187,120,82,104,145,153,154,128,91,43,45,27,34,48,39,89,108,125,134,139,149,160,165,171,172,200,214,205,180,131,94,77,91,128,142,115,82,21,37,44,23,37,43,87,107,125,134,139,149,159,166,176,142,141,181,203,183,161,115,100,96,91,102,100,78,20,18,48,37,25,37,97,110,125,133,139,150,158,170,193,145,121,115,176,156,170,143,126,128,91,65,80,77,31,7,33,49,32,29,94,92,97,100,103,108,102,153,204,181,157,108,113,137,123,148,138,131,113,80,64,68,45,6,18,43,44,34,94,94,95,95,96,100,88,154,183,188,171,128,84,91,96,80,115,136,132,111,81,58,53,13,9,33,45,40,98,99,99,99,102,104,93,157,158,140,177,143,91,61,95,67,62,153,160,141,117,78,55,25,5,22,42,39,98,100,100,101,103,104,95,167,179,133,143,159,101,79,77,86,64,123,188,166,139,106,74,40,8,13,36,41,99,100,99,100,102,104,96,167,178,144,97,123,129,119,85,92,91,129,148,187,159,121,90,66,18,4,28,42,99,100,100,99,101,105,95,155,181,129,93,88,117,139,103,109,119,154,139,173,177,134,99,82,32,3,16,37,98,99,99,100,101,104,94,132,178,134,124,106,95,117,124,136,151,165,191,170,158,115,107,86,40,13,7,27,98,98,99,100,100,103,97,117,186,161,137,109,108,121,141,155,185,186,189,165,137,85,101,81,41,26,5,14
14,171,171,172,173,173,174,174,174,173,173,172,172,171,170,168,168,167,165,164,163,162,161,159,158,157,154,153,151,172,173,173,174,175,176,176,176,176,175,175,174,173,172,171,170,169,167,166,166,165,163,161,160,159,157,156,155,174,175,175,176,177,178,179,178,178,177,177,176,175,173,172,171,170,169,167,167,165,164,163,162,160,158,157,156,175,177,177,179,179,180,179,180,180,180,179,177,177,175,173,173,172,171,169,168,167,166,164,164,162,159,158,157,177,178,179,180,180,181,182,181,182,182,180,174,165,172,174,176,174,173,172,170,169,167,165,165,164,162,160,159,179,180,181,182,182,183,185,183,179,167,156,144,109,118,127,150,168,173,174,172,171,169,167,166,166,164,161,159,181,181,182,184,184,185,185,178,158,136,113,90,68,74,92,103,123,136,158,175,173,171,170,168,167,165,163,161,182,182,184,184,185,185,184,172,141,102,74,63,62,60,75,87,98,91,120,177,174,172,171,169,167,166,165,163,182,184,185,186,186,180,174,151,109,61,50,51,52,51,55,60,72,65,85,150,175,173,172,171,169,167,166,164,183,185,187,188,186,172,157,121,76,55,46,47,50,50,52,53,60,68,72,91,167,175,174,172,171,170,166,165,185,186,187,188,185,166,141,88,58,56,52,51,51,49,58,59,62,68,66,95,173,177,175,173,171,170,168,167,187,187,188,188,187,171,142,82,55,51,51,55,53,79,148,144,142,90,71,80,144,174,176,174,172,171,169,168,187,189,190,190,188,173,143,89,53,48,49,54,59,137,191,189,189,164,112,83,94,120,162,176,173,172,170,168,188,189,190,190,188,173,142,88,60,57,51,50,115,185,190,189,188,187,160,105,100,92,143,178,174,173,172,171,189,190,190,192,188,177,146,95,70,64,57,70,175,192,192,190,189,180,128,107,101,90,155,179,176,174,173,172,190,191,192,193,189,180,156,111,81,63,56,84,187,193,192,191,189,152,106,103,92,100,175,180,177,175,174,173,190,193,194,193,186,179,160,117,87,63,53,103,194,194,193,193,175,112,94,95,79,131,182,180,179,177,175,173,191,193,194,192,184,180,160,123,92,65,54,79,158,184,194,187,137,99,87,84,74,161,183,181,180,178,176,173,191,193,194,192,184,179,160,125,92,66,60,61,77,102,152,138,102,101,90,72,124,182,183,182,180,179,177,174,192,193,195,191,184,184,162,125,97,71,61,65,72,79,87,84,89,93,80,110,180,186,183,181,180,179,177,175,192,193,196,189,184,187,161,124,97,73,60,66,74,80,84,81,83,85,95,173,188,186,184,182,180,179,178,177,193,194,196,187,185,184,156,120,100,76,60,66,74,79,85,86,75,75,152,191,188,186,185,183,181,180,178,177,194,195,196,186,185,180,153,120,103,79,61,66,77,82,85,82,70,112,187,190,188,188,186,184,182,180,179,177,194,195,195,185,185,173,147,121,105,80,61,69,81,86,85,73,88,180,192,190,189,188,186,186,184,181,179,178,194,195,195,184,180,164,141,117,101,78,60,69,81,82,76,63,134,196,193,192,190,188,187,186,184,182,179,178,195,196,195,183,174,160,138,115,98,78,61,68,78,77,65,88,183,195,193,193,192,189,187,186,184,183,180,178,195,197,194,183,169,158,133,109,91,75,61,65,71,67,68,157,198,196,194,193,192,189,188,187,185,183,181,179,195,196,194,182,164,153,129,106,86,71,59,62,61,59,134,197,197,196,195,193,192,189,188,187,185,182,181,179
6,184,184,184,184,184,184,184,184,184,183,183,182,182,181,181,182,180,180,179,178,176,176,176,175,174,174,172,171,185,186,186,186,185,186,185,185,186,184,184,183,183,183,183,182,181,181,180,179,178,177,177,176,176,174,174,172,187,187,188,187,187,187,187,187,186,186,185,186,185,184,184,182,182,182,181,180,179,178,178,177,176,175,175,173,188,189,189,189,188,188,188,188,187,188,187,186,186,185,184,183,184,182,181,181,181,180,179,177,176,175,175,173,189,190,190,189,190,190,189,189,188,188,188,188,188,186,186,186,185,183,183,182,181,180,180,178,177,177,176,175,189,192,192,191,192,192,191,191,190,189,188,189,189,187,187,187,186,185,184,183,183,181,181,180,179,177,176,176,191,192,194,194,194,193,193,192,192,190,189,188,189,188,188,188,187,186,185,185,185,183,183,183,181,179,177,176,192,194,194,194,194,194,193,194,194,195,195,194,191,191,192,192,191,188,186,184,182,179,172,169,177,178,179,177,194,196,195,195,195,194,195,194,190,181,176,181,181,172,164,160,154,163,164,163,156,158,139,151,190,166,167,179,195,196,197,198,197,197,189,176,168,153,142,137,138,160,152,142,132,141,161,163,153,151,145,146,172,138,165,183,196,198,201,199,189,179,158,154,161,159,158,139,95,125,146,144,117,133,134,131,124,108,110,117,132,157,182,180,199,197,187,175,165,159,154,150,154,161,155,115,84,72,86,89,90,105,113,126,130,147,159,169,180,186,182,181,185,175,166,160,155,151,149,142,146,153,143,110,79,71,76,102,132,163,185,189,192,195,193,190,188,184,183,182,177,173,166,157,152,152,151,147,147,150,152,136,92,62,130,200,197,199,194,193,190,190,190,188,188,186,184,183,186,174,165,158,154,153,153,148,147,150,152,134,92,70,89,198,195,194,194,193,192,192,192,189,188,187,186,185,175,168,165,159,154,153,152,153,149,151,149,138,94,77,63,160,205,195,196,195,193,193,192,190,188,188,187,185,167,165,163,157,156,154,154,154,156,158,157,146,104,76,65,116,207,195,196,195,194,193,192,191,190,188,187,186,176,157,155,158,163,160,155,149,144,146,147,131,99,77,71,75,197,200,196,196,195,194,194,192,191,189,188,187,170,152,153,162,165,165,153,148,142,140,133,115,98,83,66,105,203,198,198,197,197,195,195,193,192,190,189,189,149,142,155,160,158,155,149,140,133,140,131,103,98,91,66,179,207,198,198,198,198,198,195,194,193,192,190,188,114,128,142,154,148,140,132,123,116,115,103,95,94,97,69,184,204,199,199,198,197,196,195,194,192,191,190,188,63,85,108,134,131,119,111,105,99,81,67,81,101,101,61,169,207,198,199,197,197,196,195,194,192,190,189,187,59,42,47,72,93,95,82,78,79,72,71,92,97,86,79,188,203,200,200,198,198,196,195,194,193,191,189,188,63,51,30,35,36,53,101,127,108,82,81,100,112,158,189,203,200,201,199,199,198,197,195,195,195,192,189,189,59,57,32,38,25,132,219,212,204,174,157,168,197,209,206,202,201,201,199,199,198,198,196,195,194,192,190,188,56,59,35,26,54,207,209,205,208,212,213,211,206,202,203,203,201,201,200,199,198,196,196,195,196,199,200,198,61,54,33,25,148,218,204,207,207,206,205,204,205,205,204,203,202,201,201,203,204,204,200,196,189,162,137,139,62,43,25,85,220,205,208,206,207,206,206,206,204,204,204,203,202,203,201,179,149,137,122,104,85,61,47,46
12,218,219,218,218,218,220,220,219,219,215,214,214,213,212,212,212,210,209,209,206,205,202,201,201,201,200,197,196,221,222,220,220,220,221,222,221,220,218,217,217,215,215,214,213,212,211,211,210,210,207,204,204,203,203,201,199,225,225,223,223,224,225,224,224,224,222,221,221,218,218,217,214,217,215,214,212,212,210,210,207,205,204,203,202,228,228,226,227,227,228,227,228,229,226,224,224,222,222,221,224,218,218,218,222,217,211,212,210,209,206,205,204,230,229,229,230,230,230,230,230,230,229,227,228,225,210,174,187,226,220,206,191,203,221,214,211,212,211,208,208,234,233,230,231,234,233,232,232,232,230,230,230,230,212,181,124,192,221,191,157,121,196,225,217,216,213,212,211,237,236,233,235,237,237,235,233,234,233,232,230,241,234,201,159,121,182,214,174,116,130,227,202,216,219,214,213,238,238,236,237,237,237,237,236,237,237,233,238,245,248,216,185,120,119,225,183,140,100,137,157,141,203,221,215,239,239,239,239,240,240,241,240,239,239,241,240,222,236,226,182,148,97,203,191,156,91,85,150,112,128,230,217,241,241,242,240,240,240,241,243,240,226,216,231,218,225,219,176,133,77,185,190,156,90,78,139,109,78,216,224,242,242,242,241,241,242,243,239,238,207,160,175,210,202,211,160,113,84,201,181,145,83,75,129,103,71,213,227,245,244,244,243,246,247,243,233,240,215,192,165,162,151,215,172,125,100,211,167,136,78,91,142,104,91,233,224,247,245,247,246,249,248,244,240,240,234,216,201,137,108,215,213,145,112,211,171,128,83,134,158,92,139,242,225,248,249,249,248,249,247,249,230,203,229,230,208,168,122,209,211,141,117,228,200,129,119,168,144,82,190,238,227,251,250,251,249,251,246,251,233,168,179,228,212,178,113,145,182,113,143,244,193,121,155,198,146,91,220,235,230,252,253,254,253,252,249,255,254,210,119,155,205,150,97,71,92,62,98,199,169,110,191,215,138,147,240,231,233,254,253,255,255,253,253,244,222,184,131,97,183,128,99,80,83,68,94,137,102,108,247,208,120,150,250,233,235,255,255,255,255,254,248,251,236,211,172,107,144,146,122,106,104,104,176,209,181,178,190,155,89,92,248,236,235,255,255,255,255,255,245,255,251,221,167,122,123,158,149,113,112,190,218,222,199,207,176,98,70,99,246,237,237,255,255,255,255,255,243,255,255,228,181,157,133,146,159,136,195,252,242,236,193,189,180,123,70,149,255,236,238,255,255,255,255,255,244,255,255,233,200,168,151,148,177,229,252,255,252,233,189,175,161,112,71,211,250,239,238,255,255,255,255,255,247,247,254,232,205,170,158,155,198,255,255,255,242,215,180,160,141,97,92,248,244,242,239,255,255,255,255,255,248,239,244,234,206,170,169,160,213,255,253,248,228,198,174,149,128,75,146,255,242,244,243,255,255,255,255,255,249,238,244,232,204,174,174,167,231,255,254,238,209,186,169,139,108,81,231,253,246,245,244,255,255,255,255,255,255,236,240,238,215,186,170,167,237,246,247,228,197,175,154,131,76,135,255,247,249,247,246,255,255,255,255,255,255,239,239,238,227,195,167,164,229,237,232,210,185,160,135,113,67,214,255,250,250,249,247,255,255,255,255,255,255,240,239,236,219,187,167,162,209,223,211,191,162,139,118,74,117,255,251,255,252,250,249,255,255,255,255,255,255,241,238,230,210,181,168,165,195,209,197,175,148,120,97,68,221,255,252,255,253,251,250
1,88,106,106,110,115,128,143,152,156,161,166,168,171,178,178,181,181,182,184,184,185,186,187,187,187,187,188,186,95,106,108,112,116,131,146,155,159,164,170,170,181,196,148,178,186,186,186,187,187,187,187,188,187,188,188,187,100,106,109,113,117,133,149,158,162,168,174,175,190,205,131,147,155,180,194,191,191,191,191,190,189,189,188,189,105,107,111,114,118,136,152,161,165,169,198,174,165,210,133,140,150,147,202,194,196,196,196,195,193,192,191,191,108,108,111,115,121,139,154,162,168,171,211,178,141,205,133,134,164,124,196,201,200,200,200,199,197,197,196,195,108,108,112,116,124,142,157,165,171,173,211,185,134,191,137,130,165,117,185,210,204,205,204,203,202,201,200,199,109,109,113,116,126,145,160,166,172,176,213,186,123,181,152,135,173,128,172,216,207,208,209,207,205,205,204,204,110,110,114,116,129,149,163,168,179,190,193,190,122,155,148,131,177,134,162,221,211,212,212,211,210,210,209,208,110,110,115,117,132,152,166,167,192,192,175,191,124,142,149,120,171,137,157,224,215,216,216,214,214,213,212,211,112,112,116,118,134,154,169,168,211,187,160,189,123,154,162,121,188,159,154,225,218,218,218,218,217,217,215,215,112,114,117,119,136,156,171,172,214,174,151,203,134,146,159,123,187,171,148,225,222,222,222,221,220,219,218,218,112,114,117,120,139,159,173,175,215,171,138,197,139,122,147,130,181,171,137,223,225,224,224,223,222,222,222,221,112,114,116,121,142,162,175,179,218,174,123,178,132,115,140,144,192,171,134,220,228,227,227,227,226,225,225,225,113,114,116,122,144,164,177,181,222,187,117,166,168,162,157,173,195,151,123,210,234,228,229,229,228,228,228,228,113,115,116,124,147,166,181,183,221,186,125,174,206,174,160,168,169,148,114,187,240,229,231,231,229,230,230,228,113,115,116,125,149,169,183,186,220,194,165,168,147,159,152,151,145,154,140,159,240,231,233,233,232,231,232,237,113,115,116,127,153,173,184,188,231,209,169,152,134,152,154,163,155,175,175,144,190,244,232,233,238,243,235,207,112,115,117,129,155,175,185,193,238,207,166,143,140,155,161,210,202,187,204,178,132,210,242,242,221,178,128,95,113,115,116,131,158,178,187,196,238,205,158,139,145,160,187,226,234,196,215,180,122,169,245,160,103,88,84,88,112,114,116,133,159,179,188,195,235,210,159,141,152,168,199,224,239,229,196,151,119,161,150,92,86,83,93,82,111,113,114,134,160,180,189,194,229,215,166,142,156,176,208,230,236,222,184,143,126,108,83,100,99,70,90,90,111,113,114,135,162,182,190,195,225,220,184,146,158,178,209,236,230,207,176,143,122,101,87,79,102,76,71,94,107,109,111,135,164,184,192,196,220,221,198,157,158,178,210,235,218,196,168,139,120,100,91,68,87,92,63,80,121,118,119,139,166,185,194,199,215,216,204,168,161,172,209,226,211,191,159,134,116,100,84,73,70,94,71,67,148,146,147,147,147,154,159,162,169,209,208,175,172,168,200,213,204,183,151,129,111,96,90,73,64,85,82,59,143,143,143,145,144,146,146,148,143,186,212,183,175,167,182,203,192,169,141,123,105,79,93,76,59,78,90,63,145,145,146,148,149,150,151,152,151,159,202,187,175,169,164,185,177,154,130,114,106,81,83,77,61,69,91,76,144,145,145,147,148,149,150,151,153,149,185,195,178,173,158,165,169,146,122,105,107,91,71,60,68,64,87,86
2,202,203,202,203,202,202,204,204,203,204,205,204,203,203,202,202,203,199,201,201,199,199,199,199,196,196,195,194,206,205,206,206,205,205,206,206,205,208,208,205,206,206,208,208,207,208,202,201,197,200,200,200,199,197,196,195,208,207,208,207,208,207,208,208,208,208,209,208,203,197,184,181,153,172,219,209,204,202,201,199,199,198,197,198,209,208,209,210,211,209,209,207,210,210,206,191,159,127,102,79,68,108,183,169,198,205,202,203,203,200,199,200,212,211,212,212,212,213,210,211,205,202,180,130,89,72,67,44,42,55,97,73,189,210,205,205,205,204,204,203,213,214,214,213,213,214,213,205,193,169,116,69,44,37,33,35,41,58,66,71,188,211,206,206,208,205,203,204,214,215,214,213,214,214,212,196,189,115,52,35,28,31,42,29,30,41,57,65,82,214,207,206,207,207,204,206,215,215,213,212,213,216,209,201,162,85,30,18,32,36,35,30,46,62,65,71,150,218,207,210,209,211,209,207,216,216,216,214,216,217,205,199,127,56,25,35,34,20,41,58,45,47,94,186,218,210,213,212,207,190,201,210,217,216,217,216,218,216,205,191,123,61,30,45,26,41,52,38,81,181,214,220,213,214,216,209,183,135,152,219,218,217,218,218,223,210,210,186,122,66,43,26,34,64,56,133,213,224,214,214,215,217,212,180,179,97,163,221,220,219,219,222,211,194,218,180,116,63,45,21,52,46,118,243,216,216,217,216,215,219,194,171,153,88,209,214,223,222,220,226,197,181,221,181,130,74,39,28,49,43,192,226,217,220,220,218,218,220,175,179,105,109,227,210,223,223,222,229,193,177,226,188,148,84,36,38,35,106,237,217,222,222,220,220,222,200,165,165,92,123,229,213,224,223,224,231,190,194,234,194,156,103,45,41,25,156,243,226,229,228,224,225,200,175,180,163,74,121,233,214,223,224,224,233,191,205,238,196,161,116,53,39,30,149,228,195,187,199,215,205,174,183,178,122,69,194,221,218,225,225,225,231,189,211,237,192,163,131,62,33,47,69,106,120,129,135,145,133,163,170,132,73,182,226,216,219,226,227,227,232,187,211,234,194,170,135,71,38,53,84,123,148,150,125,121,112,122,125,66,169,231,217,221,219,226,228,227,231,184,212,230,203,177,135,76,59,66,118,137,157,142,120,97,93,94,58,144,235,218,223,223,221,227,228,229,227,188,212,226,206,173,134,88,74,63,118,128,142,136,111,87,83,48,105,235,222,223,223,222,222,230,229,233,226,195,216,221,209,170,129,98,86,65,102,117,120,121,100,84,53,78,215,230,224,226,225,225,223,230,230,232,223,205,221,218,216,171,123,101,85,63,98,98,99,96,81,56,121,217,232,225,226,225,225,224,223,233,232,234,220,213,224,213,208,158,104,87,74,62,92,81,88,68,63,169,237,231,227,226,225,225,224,224,223,231,230,233,215,215,224,209,194,141,85,75,68,68,85,71,61,73,190,242,227,229,229,227,228,227,226,226,224,230,230,232,216,206,212,208,200,154,80,80,80,75,76,42,98,214,237,230,231,232,230,228,229,227,225,225,224,230,231,231,216,210,202,207,214,175,76,88,89,85,47,96,233,231,228,231,230,228,229,228,228,226,223,223,223,230,232,224,217,226,211,215,216,184,80,91,96,80,83,222,234,230,232,231,231,229,229,228,228,226,224,224,222,231,234,221,221,225,223,217,211,181,90,82,91,69,164,243,230,234,233,233,232,229,230,230,229,226,227,225,224
1,102,105,121,140,154,162,165,171,178,181,184,187,191,194,195,201,200,199,200,201,201,203,203,203,205,205,204,205,102,107,124,143,157,164,168,174,181,185,189,192,194,205,207,166,204,206,207,204,206,206,206,207,208,207,206,206,104,110,128,147,160,166,171,179,187,191,193,195,200,219,226,130,185,178,194,214,209,210,210,210,210,209,209,209,106,113,131,151,164,169,175,184,191,195,201,216,160,217,227,128,177,181,145,223,214,215,216,215,215,214,212,211,107,115,136,153,166,172,178,188,195,197,209,237,139,201,228,122,178,204,124,209,224,221,221,219,219,218,217,216,107,118,140,156,169,174,181,191,198,202,212,242,146,188,235,135,180,212,124,192,232,223,224,224,223,223,222,221,109,121,143,160,174,178,185,195,201,204,218,248,154,173,225,140,183,226,141,180,239,226,228,228,227,227,226,225,109,124,146,164,176,181,187,197,206,214,179,241,163,152,206,141,182,222,145,174,244,231,232,232,232,231,231,229,110,127,150,168,179,184,191,199,220,224,143,228,167,131,215,150,174,232,156,174,250,235,236,237,237,236,234,234,111,130,153,171,180,185,196,203,232,215,136,233,178,120,203,145,171,243,167,175,253,240,242,242,241,240,238,238,112,132,155,173,184,187,199,205,236,213,128,223,197,124,171,167,172,222,172,170,255,244,246,245,244,243,242,241,113,134,158,176,185,190,202,208,245,226,125,190,220,181,185,191,170,161,148,166,255,246,248,247,247,247,245,244,114,137,160,178,188,193,205,211,247,231,127,166,184,189,193,155,162,194,142,168,255,248,252,251,251,250,249,249,117,141,164,182,191,196,209,215,243,234,173,187,124,170,149,131,212,236,211,165,238,255,251,254,253,253,252,252,118,143,167,186,194,199,211,218,254,240,190,165,125,154,119,170,226,232,237,179,145,249,255,255,255,255,255,254,119,146,168,187,196,202,214,223,255,239,185,146,131,161,165,229,250,236,215,156,118,176,255,255,255,255,255,255,121,148,172,190,197,204,217,226,255,249,188,142,146,171,187,248,255,245,201,150,114,159,255,255,255,255,255,255,123,151,174,193,200,206,221,228,255,255,200,144,158,184,209,247,255,241,200,154,104,180,255,255,255,255,255,255,127,155,177,195,202,209,223,229,255,255,223,155,165,194,216,255,255,233,190,152,103,202,255,255,255,255,255,255,130,158,180,197,203,212,226,231,255,255,242,171,173,198,212,255,255,228,178,145,100,220,255,255,255,236,173,111,133,160,183,200,206,215,228,233,255,255,253,186,189,188,208,254,249,221,167,138,102,237,255,212,131,87,67,72,135,163,186,202,207,216,229,237,248,255,255,202,205,182,211,241,244,208,160,127,111,255,186,84,62,67,71,64,138,164,188,204,208,217,229,238,240,249,255,220,209,189,195,239,224,196,148,120,128,167,79,87,76,49,68,72,139,166,190,204,208,217,228,236,239,243,249,227,214,203,178,218,211,182,143,122,102,66,59,83,90,44,49,76,140,168,192,206,209,219,231,238,245,238,245,234,221,215,182,189,209,172,142,118,86,79,58,54,89,62,36,61,142,170,195,208,210,222,232,240,248,241,247,243,230,216,178,173,196,168,136,107,90,78,66,36,68,81,35,42,140,170,196,209,213,224,233,241,247,245,250,232,212,204,180,174,172,157,124,100,95,67,66,42,47,80,53,29,154,174,192,202,208,218,226,235,243,239,248,240,208,211,202,173,157,151,120,96,89,78,57,47,36,65,68,31
6,199,200,199,199,201,200,200,199,198,199,199,198,197,196,193,192,192,190,189,188,186,183,182,181,180,177,175,171,204,204,204,205,205,204,204,203,203,203,203,200,199,197,196,195,194,192,191,190,190,187,185,183,182,180,179,175,206,207,207,206,207,208,208,206,206,206,206,205,204,202,200,198,198,196,195,194,192,190,188,186,186,183,181,179,209,210,208,208,209,209,209,209,208,208,209,207,206,206,205,202,200,199,197,195,194,194,191,189,189,187,183,181,213,212,212,212,212,214,213,212,212,211,211,212,209,208,207,205,204,202,200,199,197,196,195,192,190,190,187,185,214,214,215,214,214,215,215,214,214,215,214,213,212,212,209,208,207,206,204,202,200,198,198,196,193,191,189,188,215,215,217,217,216,217,217,217,216,217,216,215,214,213,212,210,209,207,207,205,202,200,199,198,196,194,191,189,218,218,219,219,220,220,220,219,220,220,218,218,217,215,212,213,211,211,212,211,210,206,205,204,200,194,195,193,220,219,221,221,221,221,222,222,222,222,222,222,222,223,221,219,216,208,200,192,185,186,182,167,169,182,176,193,222,220,221,221,222,223,223,222,226,225,219,210,203,200,189,177,167,165,140,134,145,153,143,132,175,217,164,173,222,223,223,224,223,223,224,227,212,180,157,154,149,156,157,153,148,146,136,131,150,130,131,125,126,144,132,182,225,225,224,225,224,227,222,201,181,164,139,143,150,155,161,154,145,113,107,93,89,93,112,116,123,152,184,202,227,227,227,227,231,211,185,180,178,158,120,95,109,108,99,98,99,93,105,139,173,193,203,209,215,215,208,202,227,227,229,232,204,173,176,177,169,154,131,87,58,31,145,210,217,217,220,228,225,220,216,213,208,207,206,205,228,230,232,203,170,175,180,178,180,180,164,107,54,45,80,124,164,219,224,219,219,216,215,214,213,211,208,207,233,228,200,181,183,186,190,188,186,185,135,68,47,51,46,39,31,82,226,223,222,221,218,216,215,212,210,208,214,183,178,191,191,189,193,176,173,166,92,49,40,45,55,59,59,33,164,236,221,222,221,217,215,214,211,208,178,179,192,195,190,189,180,163,171,167,136,103,49,27,41,46,52,21,103,238,221,222,221,218,216,215,212,209,183,186,190,195,196,187,168,169,175,175,180,138,66,41,42,33,43,112,205,227,222,221,221,219,217,215,213,212,186,188,195,199,188,171,163,166,163,164,159,102,49,43,46,43,51,233,235,224,225,223,222,221,218,216,214,212,187,190,192,184,172,165,164,162,153,144,134,89,37,28,42,35,62,224,227,225,226,223,221,220,217,216,215,213,188,184,170,164,171,168,160,152,136,133,144,129,63,31,34,49,203,233,225,223,223,222,221,218,215,212,211,210,173,161,156,164,159,144,132,127,132,146,163,147,71,47,46,51,227,230,226,223,221,221,220,217,220,224,220,208,165,161,162,152,136,126,129,134,139,141,144,102,50,37,23,98,234,226,226,224,228,226,225,230,203,167,126,85,158,156,145,133,132,131,129,114,104,96,78,38,56,98,138,228,231,237,238,230,208,208,206,175,83,49,31,37,140,126,100,102,120,123,111,86,64,52,59,127,225,245,248,238,236,173,142,102,60,70,59,46,35,50,35,25,89,66,41,56,80,82,71,58,62,109,166,204,208,204,206,210,149,63,59,36,16,35,21,28,26,24,35,11,63,35,49,86,93,89,86,87,98,104,104,97,94,96,96,78,54,51,41,46,11,24,23,17,20,17,21,12
17,183,185,188,189,190,192,192,193,194,194,195,195,194,194,193,193,193,191,190,190,189,189,187,185,184,182,181,179,184,187,189,192,193,193,194,195,196,196,197,197,197,196,196,195,196,194,193,194,191,190,189,187,186,184,182,180,187,191,192,194,196,196,197,197,198,199,199,200,200,199,198,197,197,196,197,196,194,193,191,190,188,186,185,183,188,192,194,195,197,198,198,199,200,201,201,202,202,202,202,197,202,200,195,199,196,196,194,192,190,189,187,185,191,194,196,197,198,200,201,201,202,203,203,204,203,204,200,209,211,174,165,204,197,197,196,195,192,190,189,188,192,196,198,199,200,203,203,204,203,204,205,204,205,206,201,217,238,150,139,207,199,200,198,197,195,194,191,190,195,197,199,202,202,204,205,206,207,207,207,207,207,207,206,207,249,182,146,208,201,202,201,199,198,196,194,193,198,199,203,204,204,205,207,209,209,209,209,211,210,210,209,209,255,217,159,206,204,203,202,201,199,198,197,195,199,202,204,206,207,208,209,210,211,211,211,211,213,211,209,217,255,238,163,195,209,205,205,203,202,201,199,197,201,203,205,208,210,211,211,212,212,214,215,213,212,213,208,230,255,240,166,183,215,207,206,205,204,203,202,200,203,205,208,210,211,211,212,214,214,214,213,214,236,237,201,202,248,249,172,173,217,208,209,206,205,204,203,201,204,207,209,211,213,213,215,215,215,218,221,215,255,247,225,180,203,231,185,166,217,210,210,210,208,206,205,203,206,208,211,213,215,215,217,217,215,250,255,218,200,237,234,244,239,183,156,160,217,212,212,211,210,207,206,205,207,210,212,214,216,216,217,217,222,252,241,232,184,199,182,238,250,202,137,143,217,215,214,212,211,210,208,206,209,211,214,215,216,217,220,219,226,251,178,197,217,146,124,150,250,233,159,124,209,219,215,214,212,211,211,209,209,212,215,216,217,219,222,219,231,245,193,182,173,148,148,125,235,255,193,118,188,223,215,216,214,213,212,210,212,214,215,218,220,222,224,220,234,255,231,195,171,171,179,162,222,255,215,134,181,226,216,218,216,213,212,212,214,215,216,219,222,223,224,221,239,255,203,178,182,198,202,211,253,255,223,150,177,229,219,219,219,222,221,211,214,216,218,220,222,223,224,222,237,255,220,198,195,214,210,252,255,246,212,155,175,231,219,223,210,178,169,145,214,216,218,220,222,222,224,222,234,255,238,209,195,217,230,255,255,241,198,150,180,230,222,215,143,126,124,119,215,216,218,221,223,223,225,225,233,255,247,227,201,222,253,255,255,231,191,143,176,228,227,174,122,129,125,124,214,218,220,222,224,225,227,228,231,255,255,240,219,219,255,255,246,224,186,133,180,242,182,123,112,101,95,82,215,219,222,223,226,227,228,228,229,255,255,248,238,226,246,255,236,218,185,127,173,176,122,112,104,86,85,71,217,220,223,225,226,228,228,229,228,255,255,254,245,229,225,249,226,216,174,130,125,122,121,113,98,76,74,76,212,215,219,223,224,226,228,230,229,244,255,255,241,219,210,224,214,216,169,125,109,118,115,119,109,80,65,68,147,150,154,156,153,154,157,160,159,181,255,253,227,202,199,205,215,208,158,117,87,103,104,102,120,100,66,60,129,133,134,130,131,130,130,129,128,149,255,230,205,191,194,202,213,189,131,110,94,74,96,87,109,116,78,57,140,142,141,138,142,144,143,142,148,104,226,228,200,191,201,198,192,161,106,52,78,69,77,81,91,114,93,62
5,157,158,158,159,160,161,162,162,163,163,164,164,162,164,164,164,164,164,162,162,161,159,158,157,158,156,154,153,160,160,161,162,164,165,165,165,166,166,167,167,167,166,151,164,166,166,166,165,164,163,161,160,159,158,158,157,165,165,165,166,168,168,169,168,170,171,171,171,170,176,121,152,170,170,169,168,166,165,165,164,163,162,161,158,167,168,169,170,171,171,172,173,174,174,171,148,164,184,125,134,174,173,172,171,171,170,169,168,166,166,164,162,171,172,173,173,175,176,175,177,177,177,179,140,136,185,127,119,178,176,176,174,174,172,172,171,170,169,167,166,174,175,177,176,178,180,180,180,181,180,188,149,123,185,123,118,181,180,179,178,176,175,175,174,174,172,170,169,177,177,179,180,181,181,177,180,183,184,192,154,114,184,132,124,184,183,182,183,181,179,178,177,177,175,173,172,180,181,182,184,184,183,158,152,186,186,195,160,112,182,126,130,187,186,186,185,184,182,181,180,180,177,176,175,183,184,185,186,187,189,163,122,188,188,197,161,104,179,116,135,189,188,187,179,160,179,184,183,181,180,180,179,185,187,187,188,189,192,178,105,188,190,195,157,93,181,133,137,191,188,189,179,141,145,188,186,184,184,183,182,187,188,189,190,192,192,178,102,186,193,192,168,98,164,142,138,192,184,175,161,175,148,168,187,188,186,185,183,189,190,191,192,195,194,193,116,172,194,189,176,101,137,145,143,189,187,150,94,161,158,131,188,190,188,186,186,192,192,193,195,195,196,198,146,146,195,189,180,104,124,144,144,182,184,144,140,172,137,152,192,193,190,189,187,194,194,195,195,196,196,191,189,160,169,181,169,125,137,134,124,161,165,139,184,173,115,186,193,193,192,190,189,194,196,197,198,199,199,187,201,183,157,153,150,130,131,127,125,162,161,149,190,155,108,196,196,195,194,193,193,197,199,199,200,200,201,199,199,205,172,145,141,118,123,123,127,158,157,165,194,132,114,200,199,197,196,195,194,198,199,200,202,202,203,203,201,221,190,137,127,109,109,119,132,154,153,170,195,129,137,201,199,198,198,197,195,199,200,201,202,202,203,203,205,223,195,139,105,104,105,117,145,161,145,162,193,135,149,202,200,200,200,199,196,200,201,202,203,204,204,204,205,222,194,145,104,104,106,136,154,177,181,155,184,136,153,203,202,201,201,200,197,201,202,203,205,206,207,206,203,219,190,148,107,100,116,149,168,189,192,162,157,114,147,206,204,202,201,200,200,201,203,204,206,207,207,208,201,219,193,153,109,102,125,162,186,190,187,160,118,87,138,207,206,204,202,201,201,203,205,206,207,208,208,210,202,214,194,155,113,104,126,174,196,194,174,138,92,75,169,207,207,207,205,202,202,204,207,207,208,209,210,211,203,205,193,153,116,110,125,183,198,183,156,118,79,125,206,208,208,208,206,203,202,206,207,207,208,209,211,211,200,193,190,153,126,117,125,178,183,167,138,100,91,196,212,209,209,208,207,204,203,205,206,207,208,209,211,212,202,188,182,147,135,119,124,163,171,155,118,80,151,212,213,211,210,209,208,206,203,204,205,206,208,208,209,210,204,184,175,148,136,115,118,151,157,131,88,105,206,213,213,210,210,209,208,207,205,204,205,207,208,208,210,211,202,189,177,149,134,116,104,137,123,93,87,186,212,212,212,210,210,209,208,207,205,205,207,208,208,209,210,212,198,193,169,134,126,114,98,116,92,75,162,213,213,213,212,211,211,209,208,206,205
20,190,194,198,204,207,207,209,212,213,216,217,218,219,219,219,220,220,220,220,219,218,219,218,218,218,216,215,213,192,197,201,205,208,209,212,214,215,218,219,220,221,221,222,221,221,224,223,223,221,220,220,220,220,218,218,215,194,198,203,206,210,211,215,216,218,220,220,222,224,225,221,244,216,202,227,226,225,223,224,224,222,220,220,218,197,200,205,209,211,214,216,218,220,222,224,225,226,227,219,255,211,181,216,199,231,225,226,226,224,224,222,220,199,203,206,211,213,217,220,220,222,224,226,227,228,230,223,255,210,206,236,164,230,228,227,227,227,226,224,223,201,205,208,213,216,218,221,223,224,226,229,228,228,231,225,255,226,208,255,166,224,232,229,229,230,228,227,226,203,206,210,214,217,220,223,226,227,229,230,229,233,233,229,255,226,211,255,180,218,235,233,233,232,230,229,228,204,208,212,216,219,222,225,227,228,230,232,232,230,231,240,255,213,227,255,181,213,241,235,235,234,232,231,230,207,210,214,218,221,224,227,229,231,232,234,233,254,246,221,255,212,238,255,171,212,243,235,236,236,234,233,232,208,213,217,220,224,226,228,231,233,233,232,243,255,255,187,191,196,236,255,171,219,244,239,237,238,236,235,234,210,214,218,221,226,229,231,233,233,238,255,255,209,233,217,177,165,202,230,173,226,245,241,239,239,238,236,235,212,216,220,223,227,231,234,236,231,255,255,255,243,217,246,255,211,154,183,165,231,246,241,241,241,240,237,236,214,217,221,225,228,232,234,237,233,255,242,175,214,156,200,255,226,158,145,150,233,246,244,242,242,242,240,239,215,219,223,226,230,233,235,240,235,255,232,168,157,132,131,234,255,194,141,140,232,249,246,245,244,244,243,240,215,219,224,228,231,234,236,241,236,255,255,225,184,156,152,189,255,232,156,132,235,252,247,246,246,245,245,242,218,220,225,230,232,235,239,242,238,255,255,209,173,164,180,191,255,255,184,129,226,255,248,248,247,247,246,244,219,222,227,231,233,237,241,243,240,255,255,202,181,184,191,231,255,255,207,139,219,255,249,250,249,249,248,246,220,223,227,231,234,238,241,244,242,255,255,221,200,202,211,255,255,253,211,144,219,255,251,252,250,249,249,247,220,225,229,232,235,239,243,247,243,255,255,237,204,218,236,255,255,245,203,148,221,255,253,253,251,251,251,249,220,224,228,232,236,239,243,248,244,255,255,248,217,223,255,255,255,240,199,147,223,255,253,254,253,252,252,251,220,225,229,233,235,239,244,248,243,255,255,250,237,226,255,255,255,234,190,141,218,255,253,254,252,251,252,250,223,228,232,234,237,241,245,249,247,255,255,255,255,239,255,255,251,227,189,132,217,255,253,255,254,253,254,249,224,227,231,234,239,242,246,250,249,255,255,255,255,254,242,255,232,220,179,128,222,255,255,255,255,253,255,255,224,227,232,235,239,241,245,249,251,250,255,255,255,242,223,239,214,219,175,130,240,255,255,255,255,255,255,214,227,230,234,239,241,245,247,251,255,255,255,255,250,214,197,219,211,214,159,146,255,255,255,255,255,241,166,129,216,222,227,231,237,242,247,245,205,177,255,255,224,196,186,223,210,201,129,199,255,255,255,255,238,153,130,123,162,164,167,168,170,172,175,183,115,43,218,255,232,195,194,240,191,170,110,130,201,206,208,210,151,121,119,108,136,141,145,146,143,141,143,158,166,107,157,255,228,196,213,239,162,140,87,57,120,143,145,153,131,104,100,103
7,176,180,186,189,191,193,194,194,194,196,197,197,197,197,196,196,196,196,195,194,194,192,196,176,198,212,206,213,182,187,190,193,196,197,198,199,200,200,201,201,200,200,198,197,197,196,196,195,194,193,192,192,205,155,217,212,189,192,196,199,201,202,203,205,205,205,206,205,203,203,202,203,202,200,199,198,197,196,193,197,187,163,221,212,195,198,202,205,208,207,210,210,210,210,210,210,209,208,207,207,205,204,203,202,201,199,198,194,203,221,206,212,200,204,208,211,213,215,215,215,216,215,215,215,214,213,212,211,210,209,208,206,206,203,200,199,200,184,161,213,204,210,214,216,218,220,220,220,220,219,220,221,219,219,218,217,217,215,214,211,210,209,205,203,203,192,185,216,209,214,218,221,223,225,225,225,225,224,226,225,225,224,222,221,222,220,219,218,215,213,210,207,206,203,203,218,213,218,223,225,227,228,229,230,229,228,229,229,228,227,227,225,225,225,223,221,219,217,215,213,211,208,211,227,219,223,227,229,232,233,235,238,241,238,237,237,236,235,235,235,233,230,227,225,223,221,219,218,215,211,212,230,224,228,231,235,238,237,230,208,191,206,213,217,216,214,210,207,217,225,231,233,232,229,224,220,219,213,215,232,227,232,237,237,235,232,222,182,126,146,178,194,186,186,184,174,165,173,181,180,198,208,222,227,221,225,223,232,232,236,234,231,230,225,216,182,150,151,157,171,169,174,176,167,144,158,164,157,168,171,201,200,232,187,190,238,230,229,229,236,234,229,218,178,140,153,157,165,160,163,172,163,145,140,145,156,162,168,194,174,211,82,146,255,234,236,236,241,238,231,211,174,121,131,150,170,179,171,176,160,159,151,160,172,153,155,157,173,181,104,98,182,241,237,236,242,234,226,210,158,125,141,146,157,156,157,158,158,152,143,155,170,159,160,159,180,197,167,96,81,239,240,238,239,240,231,229,183,116,115,111,99,136,156,144,140,140,147,154,160,152,148,146,145,164,138,98,87,244,238,234,241,232,223,238,194,114,104,111,97,129,196,249,246,252,250,225,161,97,100,99,95,97,90,88,89,235,228,227,229,214,216,216,172,123,114,117,118,105,89,218,236,169,138,98,76,75,68,68,84,81,83,88,86,229,228,221,216,209,207,206,170,117,103,118,130,126,109,98,81,65,70,86,84,74,77,72,72,76,74,85,87,222,219,212,208,208,208,220,184,113,84,69,108,118,104,102,85,77,65,80,92,75,64,75,74,72,80,74,51,209,204,210,209,208,206,205,178,114,90,80,87,111,121,126,86,75,75,61,82,87,69,59,69,72,86,48,22,199,192,192,188,183,181,165,138,115,104,96,83,59,82,90,58,60,86,66,62,80,86,65,55,62,62,57,49,189,174,157,150,146,143,141,120,110,95,67,92,53,44,71,75,51,73,80,62,66,78,80,58,58,56,58,56,173,167,143,138,128,149,155,94,66,80,41,80,77,38,60,81,64,55,79,75,63,64,77,71,52,57,56,56,141,144,150,161,202,230,109,89,66,73,52,56,86,47,42,74,78,53,66,78,67,62,61,73,55,51,56,54,133,244,252,255,255,141,75,95,78,54,62,43,75,67,31,62,81,62,59,69,72,62,55,62,65,44,52,55,82,199,187,200,155,78,89,74,63,67,54,41,54,79,34,44,75,71,62,64,65,62,54,53,64,51,43,51,62,148,145,129,99,82,77,75,47,68,59,33,40,79,50,30,65,76,64,64,61,60,52,51,55,59,42,44
7,225,228,229,231,232,233,234,236,236,237,237,237,236,237,236,236,237,239,238,237,237,236,235,234,233,230,228,227,227,228,230,232,234,236,236,238,238,238,239,240,239,239,240,240,240,241,239,240,239,238,237,236,235,233,232,231,227,230,232,234,236,237,239,240,240,241,241,241,242,242,243,243,243,242,241,242,242,241,239,237,237,235,235,233,229,233,235,237,238,239,241,242,243,242,243,244,244,244,244,244,244,244,243,242,244,242,241,240,239,238,237,235,232,235,238,239,240,241,242,244,244,244,245,245,244,247,246,245,246,246,245,245,244,244,243,241,241,241,240,237,233,237,239,241,242,243,244,246,246,247,247,246,246,248,248,248,248,247,247,247,246,246,245,243,243,243,242,239,236,238,241,242,243,245,247,248,249,248,249,249,249,249,250,250,250,249,249,250,249,248,247,246,246,243,244,243,236,239,241,243,244,247,248,248,249,252,250,250,252,251,250,251,252,251,251,251,251,249,250,245,243,245,244,243,237,240,242,244,245,247,248,253,255,255,236,212,229,243,245,242,245,250,247,248,243,247,239,251,255,242,245,242,240,242,242,245,249,255,255,255,255,255,253,209,191,218,230,229,231,225,222,230,228,237,225,246,235,233,250,244,240,244,255,255,255,255,255,255,249,245,241,205,182,197,215,225,225,221,219,215,211,219,207,203,198,236,246,246,255,255,255,255,255,253,247,237,230,238,248,218,182,173,179,193,208,220,213,211,219,218,212,224,222,223,241,231,255,255,255,253,246,241,236,233,237,245,251,223,186,184,184,177,175,166,179,189,190,197,192,195,203,203,203,226,255,255,253,242,232,227,225,228,233,244,232,203,180,178,193,201,193,167,189,250,241,235,231,231,229,231,239,255,255,255,253,240,230,227,228,224,221,233,239,210,170,158,177,189,190,187,171,255,255,255,255,255,255,255,255,254,255,255,254,245,239,233,233,233,229,236,248,220,186,186,190,178,179,159,199,255,255,255,255,255,255,255,255,255,253,249,246,245,243,238,234,231,231,235,240,219,195,200,202,191,188,170,255,255,255,255,255,255,255,255,255,255,237,234,238,243,244,242,234,228,227,226,210,198,182,176,184,189,164,222,255,255,255,255,255,255,255,255,255,255,144,155,185,223,243,236,223,214,204,192,184,174,135,117,138,169,168,255,255,255,255,255,255,255,255,255,255,233,84,82,90,116,164,199,187,193,201,218,244,255,173,131,157,174,230,255,255,255,255,255,255,255,255,255,227,156,85,80,77,73,74,87,211,255,255,255,255,255,255,211,237,255,255,255,255,255,255,255,255,255,216,195,152,132,78,73,71,74,56,114,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,230,170,148,138,129,116,72,69,66,68,51,118,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,188,126,124,142,130,122,116,69,71,68,69,43,110,255,255,255,255,255,255,255,255,255,255,255,255,255,255,214,145,116,97,117,117,110,113,77,81,75,66,33,100,255,250,255,255,255,255,255,255,255,255,255,255,255,186,131,153,115,88,95,111,104,106,88,83,68,46,40,74,170,166,169,172,174,178,181,182,184,187,185,191,189,135,110,146,112,81,85,96,97,98,96,75,50,43,44,92,162,151,151,154,153,154,154,154,155,152,152,170,169,124,102,138,107,79,82,88,91,93,88,57,46,52,46,119,173,163,165,166,165,164,165,163,164,161,166,153,137,120,100,129,100,81,78,84,86,89
14,218,220,222,220,222,224,225,221,230,252,238,203,173,141,202,226,227,229,224,224,225,225,224,224,223,222,221,221,220,222,224,224,223,226,220,234,255,235,176,151,137,128,153,203,203,202,227,225,225,225,225,225,224,224,224,223,221,223,225,225,225,221,246,255,247,190,130,130,127,130,162,187,169,142,227,228,227,229,229,228,226,226,226,225,223,225,226,226,224,232,255,250,190,146,128,135,122,108,131,152,131,170,239,227,228,230,229,228,229,228,227,225,225,227,227,230,220,249,255,229,139,111,108,116,121,135,130,141,154,170,209,232,230,230,232,231,231,229,228,227,226,227,228,232,224,255,255,222,139,109,103,108,125,143,118,128,184,194,152,185,239,230,233,234,231,231,230,229,226,227,230,232,230,255,255,197,132,116,124,104,106,117,113,112,137,154,124,205,246,233,233,234,234,233,232,231,227,229,232,230,238,255,255,191,125,117,135,114,120,137,147,146,130,137,130,170,195,235,236,234,235,235,234,234,230,231,234,228,248,255,255,218,156,123,121,121,131,123,130,123,132,149,153,152,136,201,238,236,237,236,235,234,232,234,237,228,255,255,255,220,169,136,109,134,138,124,159,186,229,212,183,163,195,176,219,244,237,237,237,237,234,236,235,233,255,255,255,217,163,141,118,134,122,207,253,245,241,246,244,202,214,174,225,245,238,239,238,238,235,236,236,238,255,255,255,227,173,137,123,117,132,238,242,241,242,247,221,186,208,168,234,243,240,239,239,240,237,240,237,244,255,255,255,234,185,142,122,113,206,251,242,244,243,249,212,188,206,161,232,246,242,241,240,241,238,241,238,245,255,255,255,240,190,150,112,133,250,244,246,245,243,254,204,179,205,156,204,253,243,243,243,242,239,242,242,247,255,255,255,242,197,160,109,171,255,243,247,246,249,245,188,178,194,165,176,254,244,244,246,244,240,243,243,248,255,255,255,245,200,162,114,176,255,252,254,255,253,185,180,202,194,156,197,255,245,246,246,246,242,243,240,251,255,255,255,246,200,165,141,108,144,179,181,209,197,160,187,192,178,172,248,249,247,246,245,245,242,243,242,251,255,255,255,242,202,178,158,118,117,126,137,149,155,168,184,186,158,225,255,247,248,247,246,246,244,245,242,255,255,255,255,239,212,195,169,129,130,145,155,167,170,165,176,162,196,255,250,252,249,250,248,248,246,248,243,255,255,255,255,245,225,204,173,142,135,156,161,165,170,167,153,162,254,254,253,253,250,249,249,249,246,249,245,255,255,255,255,255,235,206,172,152,138,155,163,163,168,166,141,222,255,253,253,253,252,251,251,251,247,248,246,255,255,255,255,255,240,205,171,153,141,151,163,159,166,147,205,255,253,254,255,254,253,253,254,253,246,248,244,255,255,255,255,255,236,191,152,142,138,148,158,161,150,170,255,255,255,255,255,255,254,253,253,253,253,255,255,255,255,255,255,255,217,157,131,134,132,144,151,157,145,237,255,255,255,255,255,255,255,255,254,253,224,208,198,208,189,182,164,146,129,106,98,109,127,142,145,139,211,255,255,255,255,255,255,255,255,255,255,255,139,129,117,108,101,95,87,83,84,79,68,68,81,109,131,204,255,255,255,255,255,255,255,255,255,255,255,255,134,129,118,114,110,103,92,89,87,77,68,66,65,59,91,255,255,255,255,255,255,255,255,255,255,255,255,255,133,126,117,110,103,99,90,86,82,75,66,63,67,60,96,255,255,255,255,255,255,255,255,255,255,255,255,255
7,157,158,159,159,158,158,158,157,158,158,158,158,159,158,157,156,156,155,136,56,37,58,72,77,98,121,138,157,159,161,162,161,161,161,161,161,161,161,161,160,160,160,159,159,159,158,119,48,50,70,70,73,96,119,141,158,164,164,164,164,164,165,165,165,166,165,165,164,163,163,162,161,160,159,102,50,60,66,69,69,93,124,146,160,166,167,167,166,167,167,167,167,168,167,166,163,161,164,161,160,156,157,129,103,112,73,63,80,101,135,152,155,170,170,170,170,171,170,169,170,172,171,171,161,150,161,167,160,148,147,140,153,173,106,64,82,112,147,155,149,173,173,173,173,175,174,173,175,182,185,180,167,156,162,161,157,149,144,140,139,160,113,80,99,129,157,157,147,176,177,176,175,175,177,183,190,194,191,183,171,167,161,138,143,158,152,150,142,139,122,118,149,145,161,163,153,180,180,182,180,176,182,189,189,187,182,179,178,172,160,142,146,158,150,147,140,122,114,107,130,131,159,169,166,182,182,198,194,184,183,185,184,183,183,180,178,170,152,144,137,128,116,112,108,96,97,100,102,108,155,169,174,183,188,207,196,179,175,181,184,183,179,171,162,149,133,123,118,116,118,127,125,109,154,148,134,111,154,166,175,186,193,205,192,167,163,171,172,168,153,134,121,101,97,124,157,172,175,180,162,136,181,143,160,120,149,163,170,188,197,200,183,162,163,163,148,130,113,117,134,111,110,116,107,166,185,184,176,158,130,125,178,125,136,159,161,189,199,198,185,183,177,163,151,144,148,151,148,140,138,138,92,121,187,184,183,176,137,164,185,131,118,154,155,193,201,202,204,206,185,155,153,157,156,151,141,136,134,123,89,117,188,187,185,182,172,167,177,150,115,147,155,196,203,205,211,207,181,149,145,142,135,133,130,124,117,102,98,172,190,188,187,185,183,187,176,162,148,153,157,198,204,207,208,193,172,157,147,125,107,112,123,120,114,104,113,186,192,190,189,189,185,163,134,137,155,156,158,204,207,206,199,184,175,175,174,146,123,132,144,138,124,117,112,161,195,192,190,191,192,163,130,144,152,154,158,208,210,203,193,183,176,186,182,147,124,129,132,124,113,107,98,159,196,193,193,193,193,183,151,160,149,152,157,207,208,202,192,184,185,195,177,143,122,121,119,114,105,96,115,186,197,196,195,193,192,190,167,159,150,145,152,205,206,200,190,188,191,185,161,132,115,103,96,89,82,103,171,199,197,196,195,194,194,193,177,161,155,143,144,202,201,194,188,188,179,163,145,129,116,97,83,95,130,175,201,199,198,197,196,195,195,195,183,164,164,149,133,196,194,189,185,184,171,156,146,131,117,129,165,184,200,203,203,200,199,199,199,198,197,197,184,163,169,162,144,191,189,187,183,178,169,159,143,114,107,182,207,205,204,202,202,202,201,200,200,199,197,196,184,160,167,166,156,188,181,182,179,167,157,145,117,93,150,207,207,206,206,204,204,203,201,201,201,200,199,197,184,161,165,164,159,184,175,170,163,150,137,117,94,120,198,209,208,208,208,207,206,204,202,202,202,201,200,199,185,163,164,161,154,175,166,159,143,126,108,90,105,183,209,209,209,208,208,207,206,205,205,203,203,202,201,200,181,164,164,160,154,158,150,139,122,100,89,108,176,209,210,210,210,210,210,209,208,207,205,204,204,203,202,197,173,166,165,160,152,143,132,124,110,93,122,182,210,211,210,210,210,210,210,210,209,208,207,206,205,204,203,187,167,168,168,163,155
2,191,191,191,191,191,191,192,192,192,193,193,192,192,192,191,191,191,190,190,189,188,188,188,187,186,185,184,184,193,193,193,193,193,193,193,194,193,194,195,193,193,192,191,190,187,189,191,190,188,188,188,188,187,186,185,185,195,194,195,195,195,195,195,195,195,196,195,192,185,177,167,160,150,164,189,190,190,190,189,189,188,187,186,186,196,196,196,196,197,197,196,195,196,195,188,173,151,130,112,98,93,117,156,162,182,191,191,191,190,189,188,188,198,198,198,198,198,198,197,196,191,184,163,131,102,85,75,63,62,78,101,112,169,193,193,193,193,191,191,191,199,200,200,199,200,200,198,192,181,156,119,85,64,57,54,51,55,66,77,94,155,191,194,194,194,193,192,192,200,200,200,200,200,200,197,187,168,121,76,55,48,49,51,48,50,60,70,82,122,184,195,194,195,194,193,193,201,201,200,200,200,200,195,184,150,95,54,43,46,48,50,51,57,67,79,101,147,191,197,196,195,194,194,195,202,202,201,201,202,201,194,178,131,77,49,47,47,45,54,61,66,83,116,160,189,198,199,197,190,179,184,194,202,202,203,202,203,200,193,174,125,76,52,51,48,55,63,74,106,154,182,197,200,200,199,191,173,147,161,193,203,203,204,204,203,197,193,171,123,79,56,47,52,66,85,132,176,198,201,201,201,201,194,177,158,127,160,195,205,205,205,205,197,190,195,169,122,80,57,46,57,72,126,191,202,203,203,202,202,200,184,166,142,123,178,198,207,207,206,205,189,182,195,171,129,85,57,48,58,84,165,204,205,205,205,204,203,197,174,159,123,128,190,200,208,208,208,207,186,180,198,177,141,94,59,51,60,116,194,207,207,207,206,205,201,186,166,150,112,133,195,202,208,208,209,208,187,188,205,183,149,106,65,53,63,140,205,207,206,207,206,203,189,175,166,143,105,139,198,203,208,209,210,209,189,195,209,185,154,115,71,54,64,131,183,180,177,183,189,183,172,169,157,125,114,169,201,204,209,210,210,208,188,198,209,185,157,124,78,55,63,92,124,135,140,142,146,143,151,152,129,118,160,197,203,204,210,211,212,208,187,198,208,186,162,129,84,61,69,94,122,139,139,128,122,118,122,118,112,156,197,205,206,205,211,212,212,207,186,197,207,190,166,131,91,73,80,110,132,144,138,121,106,99,95,98,144,195,206,207,207,206,212,212,213,206,188,198,206,192,165,132,99,83,83,112,128,136,131,114,96,86,83,125,190,208,208,208,208,207,213,213,214,207,192,200,204,193,163,130,104,90,83,104,117,121,118,103,89,85,113,177,208,210,210,209,209,208,214,214,214,207,197,203,203,194,162,126,104,90,81,98,103,104,99,91,95,131,180,207,211,210,210,209,209,208,215,215,214,206,201,205,200,188,152,113,94,83,79,92,91,90,86,103,154,195,210,212,211,210,210,209,209,208,215,214,213,204,201,204,196,181,142,101,86,81,80,86,80,84,109,164,204,213,214,213,211,211,211,210,210,209,214,214,213,203,197,198,195,184,147,98,88,87,84,80,79,120,176,207,215,214,214,213,212,212,211,210,209,209,214,214,212,203,198,195,196,192,158,100,92,93,87,80,119,185,209,214,215,214,213,213,212,212,210,208,208,208,214,214,209,205,206,200,200,196,163,104,95,96,91,111,180,211,215,215,215,214,213,213,212,212,210,209,208,208,215,214,208,206,208,206,203,195,164,107,92,94,94,146,206,215,216,216,216,215,213,213,213,212,211,210,209,208
4,170,174,177,180,183,185,188,189,191,193,194,196,196,197,198,199,199,198,197,198,197,197,196,196,196,195,195,194,171,175,178,181,183,186,188,190,192,195,196,197,197,200,200,199,201,203,201,199,200,199,198,198,196,197,196,195,172,176,180,183,185,188,190,191,194,196,196,196,197,200,203,207,187,166,193,204,202,201,199,199,199,198,198,196,173,177,180,184,185,188,190,193,196,199,197,205,192,164,193,230,193,144,140,214,203,202,201,201,201,200,199,197,174,177,182,185,188,190,192,195,196,193,207,238,204,163,152,231,194,153,126,190,188,203,204,201,201,201,200,199,176,179,183,186,189,190,192,193,204,203,193,226,216,176,137,217,200,150,96,135,159,149,204,204,202,202,202,201,177,180,183,187,191,192,192,200,231,229,178,164,227,191,136,202,203,146,89,137,169,121,148,212,202,204,202,202,176,181,184,187,191,195,192,211,228,219,167,144,216,177,123,172,182,129,89,145,169,129,110,209,205,205,203,203,177,181,184,189,190,193,193,211,211,210,166,134,197,164,118,138,161,123,101,173,176,126,108,209,206,204,203,204,178,182,186,190,192,195,193,211,206,191,174,142,180,160,120,103,144,102,128,204,164,110,114,213,207,204,204,205,179,183,187,190,193,197,195,213,223,193,180,159,157,192,148,124,141,110,132,171,139,91,117,216,207,208,206,205,180,184,188,191,193,197,195,216,233,209,173,121,128,190,164,184,161,166,171,184,172,117,122,219,206,209,207,206,180,184,188,192,193,197,195,224,229,193,161,129,111,113,129,184,164,187,200,209,193,129,132,219,208,210,208,207,180,184,189,192,195,197,196,230,216,172,145,125,110,106,104,140,167,177,187,191,173,132,117,210,210,210,208,208,181,186,189,193,196,198,200,234,219,185,157,126,114,115,127,130,139,152,155,161,165,147,104,186,217,209,208,208,181,186,190,194,195,198,204,236,217,183,147,128,120,115,127,152,139,168,178,177,179,158,111,147,223,208,211,209,183,187,191,195,197,198,207,235,214,177,144,125,124,116,134,157,162,211,208,213,205,168,127,105,209,214,212,211,183,188,191,195,200,198,209,233,211,178,152,136,129,126,135,151,196,221,223,217,216,179,136,93,181,221,211,212,183,189,191,194,198,198,210,227,207,181,157,147,136,132,131,180,225,223,225,200,196,165,132,96,186,220,211,212,182,187,191,192,196,198,207,223,204,185,160,141,129,136,155,220,231,226,210,190,169,146,109,121,215,212,212,212,182,186,191,192,197,199,204,225,214,180,148,141,136,150,184,234,229,216,190,172,146,122,93,180,220,211,211,212,183,187,191,194,198,201,202,222,215,188,172,170,145,155,203,231,220,201,177,154,132,98,129,221,212,214,212,213,184,187,191,195,198,202,201,219,217,196,175,176,148,145,216,220,205,182,161,138,115,92,192,220,214,214,213,212,183,188,191,194,197,203,198,220,223,200,181,175,147,150,213,206,184,163,139,121,90,135,225,214,215,215,213,213,184,189,193,194,198,201,196,233,229,204,179,165,132,151,199,189,163,141,119,103,90,200,219,214,214,215,214,212,183,189,192,194,200,194,214,238,220,193,172,142,124,159,178,152,124,114,103,83,164,222,213,215,214,213,213,213,181,186,190,193,196,194,234,231,218,201,173,146,143,162,152,119,109,110,91,144,220,214,215,214,214,215,213,215,146,149,149,150,140,187,238,222,218,200,168,155,152,152,138,113,114,113,98,142,152,151,152,150,151,152,153,155
12,198,198,201,202,203,206,206,206,205,205,205,204,204,204,203,201,202,202,200,200,200,199,198,198,196,194,194,194,199,199,201,203,205,207,207,207,207,208,207,207,206,205,207,208,206,202,203,202,199,200,200,198,197,196,197,196,200,201,201,205,207,207,207,208,209,209,208,210,207,207,194,177,196,206,195,198,211,203,200,198,199,199,199,199,201,202,203,206,208,208,209,209,209,210,210,210,207,204,169,123,94,185,162,119,128,199,207,201,197,200,199,199,202,203,207,207,208,209,209,210,211,212,208,209,212,180,144,111,92,166,137,112,42,135,194,195,208,199,200,200,203,205,207,208,210,210,210,212,210,210,199,156,188,182,164,82,134,188,144,107,91,157,135,91,149,210,199,199,205,207,206,209,212,212,211,212,212,218,203,140,168,222,167,77,178,204,146,112,128,141,118,78,50,153,211,199,206,207,207,210,211,213,213,211,222,234,207,153,148,209,134,73,207,203,127,116,180,158,119,85,57,76,209,201,207,209,209,210,212,215,215,210,229,217,198,150,93,99,102,50,124,146,69,133,219,158,138,79,40,67,204,203,208,209,211,211,214,216,213,219,241,213,171,128,95,30,19,78,131,154,125,177,218,152,102,50,37,74,207,201,209,210,211,212,215,214,218,234,213,202,147,112,89,21,97,201,208,194,179,196,148,97,72,71,47,76,215,204,209,211,213,214,216,212,233,236,196,160,146,165,83,125,220,210,195,185,164,177,177,115,116,110,63,112,218,203,210,212,215,215,216,216,246,230,203,175,145,172,159,232,220,200,190,195,172,172,171,128,94,96,53,170,216,204,211,214,215,216,217,222,247,235,216,212,177,179,208,215,220,196,200,188,160,174,151,107,77,64,54,203,209,206,212,215,217,217,216,224,245,240,225,211,198,185,199,201,206,196,195,177,169,166,130,87,69,42,84,222,206,208,213,215,218,219,219,224,244,242,225,203,185,184,188,197,203,194,190,172,165,138,101,70,63,30,125,226,206,209,213,214,217,217,218,223,242,238,210,185,179,189,189,202,208,193,180,165,139,104,76,61,56,24,161,225,210,209,212,216,218,219,219,223,226,217,204,201,198,192,192,214,201,181,158,147,120,86,70,60,34,60,212,215,212,209,214,217,217,221,221,228,237,238,232,223,207,186,188,212,187,158,135,126,97,78,69,35,43,184,220,212,213,213,215,217,218,221,220,236,245,239,229,213,200,185,183,201,173,139,121,102,84,68,34,66,186,222,212,214,213,214,215,218,219,219,222,244,243,237,224,201,189,186,188,183,155,129,106,89,58,47,127,211,224,215,216,216,216,215,214,217,219,217,226,246,237,227,216,199,183,183,187,172,145,114,83,52,59,180,229,218,216,217,216,216,215,213,222,217,217,213,235,234,223,210,209,197,173,179,175,149,128,105,63,46,184,228,215,218,216,216,216,215,213,211,170,215,224,217,233,214,207,199,196,183,183,178,165,134,107,88,48,145,226,215,219,218,217,216,216,215,214,213,69,72,143,240,219,196,186,182,182,191,182,166,156,122,97,64,67,210,222,221,219,219,218,216,216,215,215,214,79,60,54,175,206,185,173,182,193,197,168,151,143,109,86,41,120,231,222,222,221,219,218,217,217,215,216,215,68,71,73,52,74,91,87,97,117,137,133,133,125,96,69,38,180,230,221,223,222,220,219,217,216,215,217,214,67,63,71,56,0,19,27,23,20,23,30,51,72,72,38,77,213,223,222,222,222,221,219,217,215,215,215,214
19,79,82,88,93,102,110,116,122,126,129,131,135,138,141,144,146,149,150,152,154,156,158,158,160,161,162,163,163,79,83,88,94,103,110,117,123,127,130,132,135,139,142,145,149,150,151,154,156,157,159,159,162,163,164,165,165,80,85,90,96,105,113,119,125,130,131,134,137,140,143,146,150,152,154,157,158,160,161,162,164,165,166,167,167,81,86,93,98,106,115,121,127,131,133,136,139,143,147,150,153,155,158,158,160,163,164,166,166,168,168,168,169,82,87,93,99,108,116,123,129,133,135,137,141,144,148,151,155,157,160,160,162,164,166,166,167,169,170,175,161,82,88,94,100,109,118,125,130,134,136,139,142,147,150,163,159,139,148,163,164,165,168,169,169,170,185,186,115,83,88,95,101,111,119,127,132,136,137,141,144,148,151,189,167,129,109,155,166,167,169,176,179,185,183,137,100,83,89,95,102,112,120,128,134,137,139,142,146,149,151,182,181,140,124,160,176,171,174,184,182,164,128,108,147,84,90,95,103,114,121,128,135,138,141,147,143,148,155,170,181,172,174,174,172,162,150,158,147,115,117,155,177,85,91,96,104,115,123,130,136,138,166,176,149,142,148,161,167,161,153,145,147,134,116,117,121,144,172,178,178,86,91,96,105,115,124,131,137,143,190,168,151,151,157,167,167,157,144,138,126,123,101,155,173,180,180,181,180,86,92,97,106,116,124,132,135,154,180,148,143,150,164,169,166,162,153,133,99,92,112,180,180,181,182,182,181,87,93,98,107,117,125,132,135,169,178,154,151,156,155,148,142,142,127,109,89,78,132,183,181,182,183,183,183,88,94,99,108,118,126,133,139,202,193,172,167,166,160,157,149,132,94,85,84,80,152,184,183,184,184,185,185,89,94,99,110,120,128,135,144,203,189,170,155,146,151,153,145,122,88,79,86,89,165,184,184,185,186,187,187,88,94,100,111,120,129,137,144,187,180,156,134,114,109,122,123,116,91,82,86,109,179,184,184,185,186,188,188,90,94,100,112,121,130,137,143,178,178,154,112,93,71,69,101,118,94,84,89,108,182,185,185,186,187,188,189,90,94,101,113,123,132,139,142,176,181,154,113,82,52,84,114,116,89,83,84,92,172,186,186,187,189,190,190,90,94,102,114,123,132,140,137,173,182,156,124,98,71,74,82,76,69,75,83,90,166,188,187,188,189,190,190,91,95,103,114,124,133,141,137,176,185,158,130,104,89,77,64,63,72,79,84,92,169,190,189,189,190,191,190,91,95,104,115,125,135,142,137,176,183,157,130,107,96,93,79,70,74,80,84,99,176,189,190,192,192,192,192,92,96,105,117,126,134,142,137,168,176,152,127,105,96,93,82,73,78,83,85,117,186,189,192,193,192,192,192,91,96,106,117,128,135,143,138,166,171,148,122,104,95,91,84,79,83,87,88,148,192,192,193,193,194,194,195,90,96,107,118,128,136,143,144,170,167,143,118,102,93,92,89,86,86,87,110,179,190,192,193,194,195,195,195,91,97,108,118,128,137,142,147,178,166,139,114,99,94,96,92,87,87,116,169,189,190,192,193,194,195,196,196,92,97,109,120,129,138,142,149,176,161,140,119,103,97,96,92,86,109,174,187,189,191,194,195,195,196,196,196,92,98,109,120,130,139,143,157,169,154,137,120,103,92,88,87,84,143,185,189,191,193,194,196,196,197,197,198,92,97,108,120,131,140,144,172,170,150,129,111,96,85,81,84,87,158,186,190,192,193,195,196,196,197,199,200
23,139,142,144,147,150,152,154,157,158,160,161,163,163,164,165,166,167,167,170,170,170,172,173,173,173,173,174,174,139,143,146,149,152,154,155,157,159,161,162,163,164,166,167,168,169,169,172,174,172,173,173,173,174,173,174,176,140,144,146,149,153,155,155,158,159,161,162,164,167,167,165,168,162,167,170,152,169,175,174,176,176,175,177,176,141,144,147,150,154,155,156,159,160,161,163,165,165,165,172,173,160,152,133,100,170,177,175,178,176,177,178,177,143,146,148,151,154,156,157,160,161,163,165,164,166,174,178,159,117,116,109,148,179,175,176,178,178,178,178,178,143,146,149,152,154,155,158,161,161,165,163,171,183,165,156,111,116,156,174,181,176,177,179,178,179,179,179,179,143,147,150,152,155,156,159,161,162,165,161,183,187,137,102,133,178,130,156,180,175,179,180,179,180,180,180,180,144,147,151,153,155,158,159,161,163,166,162,185,190,146,155,199,168,127,128,187,179,179,180,180,180,181,182,182,143,148,151,153,156,158,159,162,164,167,166,190,185,184,197,175,153,161,140,155,166,180,180,180,181,182,182,182,144,148,151,154,156,158,160,164,165,167,168,188,181,187,178,177,178,169,138,96,105,167,183,181,182,183,182,183,146,149,152,155,157,158,161,165,166,166,171,176,171,175,177,173,166,160,123,85,76,130,193,182,182,183,183,183,146,149,152,155,157,159,160,164,165,175,178,167,163,172,171,166,163,148,112,86,80,92,144,187,182,183,183,182,145,149,153,155,158,159,161,164,167,199,185,169,174,164,158,149,130,132,115,87,75,95,93,151,190,182,183,182,145,149,153,156,158,160,162,165,165,194,194,182,176,150,125,89,90,144,114,85,68,95,95,144,191,183,184,184,146,149,154,156,159,161,162,166,166,187,191,177,164,151,125,78,93,146,110,82,81,101,106,179,186,184,185,185,146,150,154,157,159,160,162,165,166,188,192,170,183,148,90,69,115,107,75,74,102,104,135,191,184,186,186,186,146,150,154,158,159,160,163,165,165,187,187,179,176,138,93,59,74,55,66,83,109,108,174,187,185,185,185,186,147,150,154,156,159,160,163,167,166,187,185,185,173,137,105,52,52,72,95,103,100,132,191,184,186,186,185,185,147,152,154,156,159,161,164,166,167,189,184,186,172,135,110,67,68,97,111,115,100,165,190,185,187,186,186,185,148,151,155,158,160,162,165,166,169,189,186,184,167,136,112,74,81,106,114,107,125,192,184,187,187,187,186,186,148,151,155,159,160,162,164,166,170,190,184,177,161,133,111,79,86,111,115,100,152,193,185,187,188,188,187,187,148,151,155,159,160,163,166,166,173,190,175,169,156,131,111,92,88,112,110,101,177,188,186,187,187,188,187,188,148,152,155,159,160,162,165,166,174,188,173,166,152,133,117,98,91,110,101,126,192,185,187,187,188,189,189,189,149,152,156,159,161,162,166,166,177,188,174,169,153,136,122,102,94,102,100,174,189,187,188,188,189,190,190,189,148,152,156,160,160,162,167,165,182,189,174,166,153,141,120,102,97,91,148,191,185,188,188,188,189,190,190,190,148,152,156,160,162,164,166,167,188,183,172,161,151,137,109,103,92,142,191,186,187,187,188,188,190,191,191,190,149,152,156,160,162,166,164,179,190,178,169,153,137,124,109,95,125,192,185,187,187,187,188,188,190,191,191,190,149,153,157,160,161,165,163,186,183,177,165,148,130,122,108,93,172,190,186,188,188,188,190,189,190,191,191,191
23,120,124,128,131,135,137,140,143,144,145,145,144,144,145,144,142,142,142,141,139,138,137,138,137,135,137,154,167,124,128,133,136,139,144,147,147,149,150,150,150,150,150,151,148,149,147,143,142,141,142,140,139,138,140,121,117,127,133,137,141,144,150,152,153,155,155,157,156,155,152,151,151,146,150,154,147,146,147,146,143,142,143,130,66,132,138,142,146,150,154,157,159,160,161,162,161,160,171,188,189,155,116,137,151,154,151,150,147,146,145,149,108,136,141,147,150,154,157,162,164,166,166,169,198,198,206,214,196,178,157,146,144,138,159,155,153,151,149,147,147,140,143,149,153,157,161,166,168,171,169,184,214,179,151,143,93,109,136,131,95,104,165,158,156,155,154,153,150,142,147,152,156,160,166,169,172,175,171,202,197,176,62,80,132,152,130,106,110,157,168,163,161,159,158,156,154,145,150,154,159,163,167,172,175,177,179,212,195,170,111,149,155,189,181,180,181,174,170,170,168,165,162,160,158,147,152,156,162,166,170,174,178,179,189,206,188,199,212,171,61,159,188,176,173,176,175,174,173,170,167,165,162,150,155,159,164,167,173,177,181,180,196,206,212,224,207,163,64,141,183,189,186,181,178,179,177,176,173,169,173,151,158,161,166,172,175,178,183,181,205,222,220,193,185,136,135,205,123,126,163,180,189,181,181,180,176,182,128,154,159,163,168,174,178,180,183,199,212,207,178,152,173,152,163,196,127,49,39,69,158,192,183,181,184,170,37,157,162,166,171,175,178,186,206,210,195,180,183,191,200,195,143,138,121,54,38,34,88,199,184,180,195,109,24,157,163,168,173,175,194,205,202,200,202,210,216,208,192,172,126,55,106,71,53,45,91,199,190,200,192,53,28,159,165,171,175,178,204,190,188,183,180,192,188,170,153,142,108,33,30,56,55,41,109,213,168,139,86,33,31,160,167,172,176,184,215,197,172,166,173,175,175,170,162,151,104,42,5,43,65,58,69,85,43,14,14,27,28,164,169,173,177,186,207,194,176,178,187,192,189,164,146,131,83,45,19,69,92,75,16,0,23,20,21,24,23,165,169,173,179,182,192,196,194,194,181,183,135,106,113,102,74,43,17,45,88,74,25,1,3,3,24,20,18,165,170,175,181,185,189,195,192,184,162,133,87,33,53,104,77,34,30,56,72,58,14,13,7,0,7,14,9,167,173,177,183,186,186,186,198,198,145,93,63,25,61,120,68,20,40,60,67,38,11,6,8,11,3,4,6,167,172,176,182,185,183,177,207,190,96,60,21,32,72,61,28,39,58,57,56,22,15,13,0,0,9,6,9,167,172,176,181,186,180,175,199,163,97,68,33,6,8,15,39,59,71,69,41,2,12,17,4,0,0,0,15,167,173,177,182,186,174,176,200,164,103,76,41,11,22,53,68,77,77,68,30,0,0,15,15,0,0,0,0,167,172,177,181,186,170,188,205,171,111,82,53,32,34,71,78,80,74,56,17,0,0,3,16,4,0,0,0,174,179,183,189,194,178,183,198,169,123,88,67,43,35,57,78,80,75,40,0,0,0,0,4,13,0,0,0,135,141,147,153,162,155,183,190,166,123,89,78,52,44,44,75,82,72,16,0,0,0,0,0,2,4,0,0,74,76,78,81,75,95,182,179,154,113,92,95,55,49,50,67,78,35,7,0,0,0,0,0,0,0,0,0,87,87,88,91,77,80,184,165,134,100,107,100,55,52,51,65,33,0,8,4,2,0,0,0,0,0,0,0
13,119,128,136,139,143,149,156,160,164,167,169,172,176,179,181,183,187,188,189,190,191,192,192,191,191,191,192,193,120,130,138,141,145,151,158,162,165,168,170,174,177,180,183,185,188,188,189,191,193,193,193,193,193,193,194,194,123,133,140,143,147,154,161,165,167,171,173,176,179,182,185,188,190,190,191,190,190,195,196,196,196,196,195,196,126,136,142,145,149,155,161,166,169,172,175,178,181,184,187,189,192,203,208,192,154,166,189,193,198,197,197,198,127,137,143,147,151,157,163,168,172,175,178,181,184,186,190,192,190,209,223,192,135,102,128,149,172,199,199,199,129,137,143,147,153,158,164,170,174,176,179,183,187,189,199,180,155,159,192,194,136,89,112,135,106,176,202,201,131,140,145,148,154,160,166,171,174,178,181,185,187,195,224,197,161,126,152,196,168,98,121,135,92,163,205,202,133,141,147,149,155,162,168,173,176,180,183,192,179,153,197,223,190,137,97,171,178,104,121,147,98,174,205,203,134,143,149,151,157,163,169,174,177,180,193,217,185,133,122,214,211,157,87,101,147,98,132,163,115,190,205,205,136,144,150,153,158,165,171,175,178,189,214,215,204,158,98,163,210,154,93,46,79,72,128,151,132,204,206,206,138,147,152,155,161,168,172,176,182,209,193,187,211,174,106,111,193,142,89,40,65,98,130,125,107,188,209,208,140,150,153,156,163,170,174,177,199,220,189,163,193,161,106,85,174,145,89,51,104,145,142,121,108,143,210,209,142,150,155,159,166,172,176,181,211,206,173,147,176,134,91,63,162,165,98,97,170,172,142,106,105,108,192,211,144,152,156,160,168,176,180,189,221,201,170,131,153,120,80,43,140,165,107,161,196,171,138,109,98,94,183,214,147,155,158,162,171,179,183,194,230,210,181,136,122,118,73,59,137,179,168,198,186,157,130,104,87,106,204,214,150,157,159,165,175,182,186,200,236,218,189,148,109,105,106,149,197,213,214,199,172,142,120,97,78,151,216,214,153,160,162,168,177,185,189,206,240,228,194,157,148,150,157,187,210,212,209,189,159,135,111,87,85,194,216,215,156,162,165,172,181,187,190,209,236,231,205,174,172,161,166,198,206,211,199,176,150,127,102,76,108,213,217,217,159,165,168,176,185,192,195,209,227,233,216,190,181,164,174,208,203,202,184,159,136,115,93,72,162,222,220,219,162,167,171,179,188,196,199,203,222,231,221,200,184,167,177,202,203,183,165,143,126,108,83,124,215,223,222,221,165,171,174,182,191,197,202,202,216,224,219,207,191,178,174,191,197,174,151,131,116,97,110,207,226,225,224,223,168,174,177,185,193,199,203,207,207,224,221,213,205,192,176,182,188,166,135,119,105,98,187,229,227,227,226,225,171,175,179,187,196,202,206,210,201,223,218,211,207,192,172,174,173,154,119,108,95,152,228,229,229,230,228,228,172,178,181,189,199,206,209,212,204,220,203,189,195,186,170,166,162,142,117,100,107,211,232,232,232,231,231,214,173,179,182,192,201,207,211,214,207,221,204,190,202,197,181,160,154,138,122,92,139,227,234,234,234,235,204,116,175,179,183,193,201,207,211,214,207,223,216,201,215,202,185,157,150,136,124,87,161,231,235,236,222,174,99,59,176,180,184,194,202,207,212,215,210,220,227,219,227,206,187,161,149,136,122,86,171,235,236,222,135,69,44,41,176,181,185,195,203,208,213,217,208,209,231,225,226,204,184,165,151,137,120,84,167,237,239,170,79,60,48,25
7,200,202,202,205,207,207,207,207,208,208,208,208,208,209,209,208,209,208,209,208,206,205,204,202,201,199,198,196,202,204,205,206,207,209,209,210,210,210,209,209,210,210,211,212,210,210,210,210,209,207,206,204,201,201,201,199,203,206,208,209,210,212,211,210,212,213,212,213,214,214,214,213,212,213,213,212,212,210,207,206,205,203,202,201,206,208,209,211,212,212,214,213,213,214,215,215,215,216,215,214,214,214,215,214,212,212,209,207,208,206,204,201,208,210,212,212,213,215,215,215,215,216,216,216,216,216,217,216,216,216,216,215,215,214,212,211,210,208,207,206,210,212,213,214,215,216,216,217,218,217,216,219,218,218,218,218,217,217,217,217,216,214,214,214,211,209,208,206,212,213,213,216,218,218,219,219,219,219,218,220,220,220,220,219,219,219,219,218,218,216,215,215,214,211,210,209,213,215,215,218,219,220,220,220,223,225,224,222,223,223,223,222,222,222,222,220,220,219,216,215,216,215,212,211,214,216,217,219,219,221,225,229,216,196,211,219,220,218,221,223,224,222,221,220,218,216,222,218,216,215,214,213,215,216,218,223,227,230,232,236,226,191,171,192,207,205,208,208,206,208,209,211,207,219,237,204,220,216,215,214,219,225,230,233,233,230,227,224,222,192,157,172,189,198,198,192,188,191,188,196,188,188,175,200,221,217,216,216,234,235,234,230,224,216,207,207,215,196,161,151,160,179,191,200,198,189,190,194,184,184,189,192,218,214,216,218,233,229,223,217,213,208,207,212,224,210,165,153,153,148,154,159,161,162,172,176,176,178,189,182,190,187,219,218,229,219,208,204,200,202,206,215,211,188,164,157,167,169,162,139,143,195,190,187,181,179,181,185,185,209,223,220,226,215,203,198,199,198,194,204,212,189,153,135,151,170,173,167,146,211,240,232,232,231,229,228,229,227,222,222,228,219,210,205,205,205,200,202,217,202,164,148,155,153,152,152,143,218,233,229,230,230,228,227,225,226,224,225,221,218,216,210,206,205,204,208,217,202,170,168,176,165,166,135,185,243,231,233,232,231,231,229,229,228,230,211,212,214,216,215,209,202,199,201,194,183,167,165,171,168,156,158,238,235,233,235,233,233,232,231,230,234,185,133,174,200,217,212,202,196,190,179,163,148,133,106,116,150,137,195,245,234,234,235,234,233,233,231,237,218,131,134,78,107,156,190,179,162,163,167,190,207,139,95,114,136,161,233,236,236,236,235,233,232,231,234,231,171,125,120,58,52,61,76,140,212,223,237,241,247,225,152,174,197,231,240,237,237,236,233,233,239,235,231,168,119,110,90,54,53,49,52,214,245,237,237,236,236,239,239,240,244,239,239,239,238,236,240,241,199,156,135,114,103,92,78,47,47,37,74,241,234,235,238,239,239,238,238,236,236,238,240,240,237,240,217,161,124,123,113,104,90,79,72,48,49,36,63,239,236,236,237,238,238,238,239,239,238,240,239,238,249,220,132,90,92,110,100,95,94,85,69,56,52,24,60,246,241,242,242,242,244,245,246,245,245,244,245,247,217,150,125,93,70,86,93,86,89,91,73,56,38,19,45,198,205,206,209,212,214,216,217,219,221,221,225,211,126,96,128,89,63,66,83,79,80,91,83,41,24,24,52,130,127,129,131,132,136,139,139,141,142,139,151,151,104,87,120,86,56,63,71,73,74,84,86,29,28,25,74,142,133,134,135,134,134,133,135,135,131,136,146,135,94,80,111,81,56,58,66,68,70,78,84
13,161,165,167,168,170,172,174,175,175,176,177,178,178,178,178,178,177,176,176,175,173,172,171,171,171,168,167,165,163,165,167,169,171,173,174,176,176,178,179,179,180,180,180,180,179,179,178,177,175,175,174,173,172,170,169,167,164,166,169,170,172,174,176,177,179,180,181,181,181,181,181,181,181,181,181,180,178,178,176,175,174,172,171,170,165,168,171,171,172,174,178,179,181,182,182,183,184,183,183,182,182,184,184,181,180,180,179,177,175,175,173,172,166,169,170,172,174,176,179,181,181,183,182,185,185,178,180,186,184,179,182,184,181,181,180,179,178,176,174,172,166,170,172,172,175,178,180,182,183,184,184,186,175,141,118,165,175,137,114,157,186,182,181,180,179,178,176,174,167,171,172,173,177,179,181,182,183,185,185,190,184,151,122,103,141,133,95,89,185,184,184,182,181,179,177,175,169,171,173,174,178,180,182,184,185,187,188,190,199,163,137,87,112,139,108,67,166,188,186,184,183,181,178,177,170,173,174,175,178,181,183,186,186,188,189,189,197,167,130,86,90,131,106,61,152,190,186,185,185,183,181,180,170,173,175,177,179,181,184,187,188,189,191,194,188,165,126,91,73,105,90,57,149,191,186,185,184,183,181,180,170,175,176,178,180,183,186,188,188,183,158,169,166,164,129,101,73,107,95,60,165,192,188,187,185,183,182,181,170,174,176,179,181,185,187,189,191,168,119,100,106,148,166,126,84,111,109,64,162,195,189,187,187,186,183,182,171,175,177,180,181,185,188,189,197,162,123,108,84,129,183,139,85,96,103,60,106,197,190,188,188,187,185,184,172,176,178,180,183,185,187,173,140,152,140,127,92,63,134,107,76,86,84,73,71,163,196,189,188,187,186,184,172,176,179,181,183,183,193,159,109,105,154,134,111,57,36,43,60,90,92,96,87,100,196,192,189,187,187,186,173,177,179,181,183,195,194,144,118,100,132,139,115,86,33,52,72,81,119,118,105,71,168,195,190,188,188,186,173,177,181,182,186,198,161,149,134,119,98,135,120,99,49,56,114,126,131,120,105,69,148,197,191,189,188,187,174,178,181,183,186,202,160,136,132,115,97,110,111,81,53,61,139,157,152,112,94,68,162,198,191,189,187,187,174,178,181,184,189,194,159,119,109,104,83,57,85,72,64,81,155,157,147,118,84,71,185,196,193,190,189,188,175,178,182,183,187,189,178,153,114,82,60,43,74,93,83,128,174,153,139,111,72,90,199,195,195,192,190,188,176,180,182,183,185,188,185,165,136,113,97,95,95,106,118,177,173,144,124,105,65,122,204,197,195,192,191,189,177,181,182,184,187,186,182,171,150,132,109,110,124,162,175,177,159,136,115,96,60,153,202,197,196,193,191,189,177,181,182,185,187,188,178,161,146,127,109,112,121,175,174,163,145,126,107,84,62,181,200,196,195,194,192,189,177,182,183,185,188,190,171,151,146,128,115,118,118,161,168,158,136,114,96,73,78,200,199,197,195,194,192,191,178,182,183,186,188,193,182,157,146,132,125,121,120,155,163,152,129,101,85,54,124,206,199,197,196,194,192,191,178,181,181,184,187,192,194,165,147,141,128,115,111,138,151,138,112,86,68,62,186,202,199,197,196,193,192,192,177,181,182,184,187,190,195,188,156,140,124,114,108,122,137,127,101,81,54,118,207,200,199,197,195,193,193,194,175,179,181,183,187,190,192,194,175,144,124,112,110,116,129,123,100,80,56,167,203,199,197,195,194,193,191,191
12,121,122,124,126,126,127,127,128,132,133,131,135,138,135,134,136,138,138,138,138,136,137,137,137,137,137,137,139,122,124,125,126,127,128,127,130,132,129,133,127,122,137,138,131,120,128,139,137,138,139,139,138,138,138,138,139,124,124,125,126,128,128,129,132,130,151,154,117,85,89,152,129,102,78,132,144,141,140,140,140,138,138,138,139,124,126,126,127,128,129,133,127,150,184,160,111,97,66,144,122,105,79,84,107,117,139,140,139,139,140,140,140,123,125,126,127,129,130,132,129,168,153,153,126,128,70,118,137,118,82,58,92,73,84,143,141,142,143,142,142,125,126,128,129,129,131,130,136,178,128,137,140,120,74,107,148,124,75,69,103,87,44,121,150,141,143,143,142,127,128,129,130,133,133,131,145,184,127,141,118,90,54,43,114,91,60,81,118,96,58,116,149,141,143,143,142,127,129,131,132,131,135,126,119,155,88,131,124,100,61,23,52,46,31,132,133,94,58,132,146,143,145,144,142,128,129,131,130,136,157,130,100,85,71,101,128,120,120,101,93,76,38,103,107,69,57,145,144,145,145,144,143,129,131,133,127,166,172,139,115,75,74,97,104,102,120,125,124,124,82,36,45,46,78,154,145,145,145,143,143,130,134,127,149,172,166,152,123,87,75,107,92,67,90,95,126,147,118,72,27,33,107,156,145,145,144,143,143,131,134,127,177,152,152,158,131,96,70,70,82,63,66,75,139,150,140,116,55,32,129,152,147,146,144,144,143,130,128,147,171,123,111,147,134,107,82,60,71,62,77,99,137,145,146,137,92,48,142,150,149,146,146,145,144,131,127,163,159,139,116,110,140,112,81,61,72,61,74,84,126,151,141,142,120,67,143,150,148,146,146,146,145,131,128,172,166,148,119,81,126,120,81,63,60,63,77,100,115,129,146,127,132,78,121,156,145,149,147,147,148,129,130,167,139,110,90,65,81,133,96,87,53,75,78,120,146,133,133,121,113,93,82,157,147,149,149,149,149,129,132,176,151,130,108,90,71,110,119,120,74,82,100,147,151,148,131,112,99,91,69,155,150,149,150,149,148,133,133,181,161,134,114,102,82,77,106,99,87,96,139,162,153,147,129,112,93,72,84,158,148,150,150,149,149,134,135,183,163,139,123,110,84,81,107,77,91,124,162,163,153,144,129,114,93,59,101,160,149,151,151,150,150,133,138,187,166,145,131,118,91,84,116,96,119,155,173,162,151,138,126,113,92,53,114,159,150,151,151,150,150,132,143,193,166,145,136,124,107,88,109,113,133,171,174,162,148,133,125,111,87,50,130,156,151,150,150,150,150,129,145,194,167,151,140,126,121,99,105,125,134,179,169,157,144,132,124,104,80,58,145,155,151,152,151,151,151,131,143,189,172,161,143,131,125,114,101,131,133,180,164,148,142,132,121,101,71,68,153,151,151,152,152,151,151,136,137,178,176,167,151,138,132,125,105,129,134,174,162,139,135,130,117,99,62,88,160,150,152,152,151,151,151,136,133,168,181,166,154,142,138,128,109,117,131,167,158,137,132,128,108,94,53,118,159,149,153,154,152,151,151,136,131,160,186,168,159,148,139,127,114,113,119,156,155,134,129,122,108,86,57,141,155,152,152,154,153,152,152,137,132,150,190,172,158,147,135,121,116,116,114,141,146,124,120,118,111,70,77,159,150,153,153,153,152,152,152,136,131,153,194,168,150,143,132,120,111,116,116,131,136,120,115,118,104,57,112,161,150,153,154,152,152,153,151
16,82,92,98,102,107,112,117,122,125,128,131,135,138,140,144,146,147,148,149,150,152,152,152,153,154,154,155,154,86,96,101,104,109,115,120,126,128,131,133,138,141,144,147,149,151,151,155,156,155,156,156,157,157,156,157,157,88,98,103,107,112,118,124,128,132,134,138,141,144,147,150,153,155,153,149,147,150,157,161,160,159,160,161,160,90,100,105,109,115,120,126,131,133,137,139,142,146,150,153,150,139,131,119,104,99,99,118,153,165,162,163,164,92,103,107,111,116,123,129,134,137,141,145,147,148,144,135,124,120,123,113,96,87,78,63,77,142,166,165,165,95,104,108,113,119,125,131,137,138,141,140,133,127,122,118,121,114,108,102,81,79,82,62,50,71,158,170,169,95,105,109,113,121,127,133,135,149,142,126,106,113,114,122,109,101,104,86,66,67,68,57,56,48,122,176,169,98,107,112,116,124,129,134,147,168,153,155,107,122,138,124,94,102,90,74,63,61,58,55,56,49,103,176,171,100,108,113,118,125,131,137,154,148,152,152,117,150,152,92,89,87,66,64,57,54,53,57,58,49,120,178,174,103,111,115,121,127,133,140,136,141,160,136,130,169,145,93,85,68,56,55,54,53,50,54,58,56,147,179,176,105,114,118,122,128,134,141,139,148,166,147,143,164,128,115,98,72,53,50,52,53,53,54,51,82,170,178,178,106,115,119,123,130,137,143,146,147,162,157,144,159,140,121,93,69,53,48,50,54,55,55,48,113,181,181,181,108,117,119,125,132,140,145,149,144,162,158,154,156,135,101,71,57,45,49,53,56,56,54,53,144,185,180,182,110,117,119,126,134,141,147,152,149,160,163,160,140,110,74,53,35,31,52,60,57,57,53,62,168,184,181,183,112,119,122,128,135,142,148,152,154,160,164,149,117,82,53,16,1,37,57,64,58,57,48,76,182,184,184,185,115,121,124,130,138,144,149,154,157,154,151,123,90,68,15,0,0,38,59,71,68,61,42,93,190,183,184,184,116,122,126,132,140,145,150,155,159,146,130,99,76,47,0,0,0,26,55,73,76,60,38,111,195,185,186,186,116,124,127,132,141,146,151,156,161,149,112,80,63,31,7,0,12,13,46,80,77,57,42,123,196,185,187,188,119,123,127,134,142,148,153,157,163,145,94,55,44,45,42,26,24,31,59,87,68,59,44,132,197,187,189,190,122,125,128,136,143,148,154,158,163,139,76,72,56,36,44,40,39,74,77,91,63,59,46,146,199,189,190,191,122,126,129,137,145,151,154,162,156,116,57,164,169,107,78,58,90,92,87,88,59,58,46,152,199,188,191,191,122,125,130,138,144,150,152,151,136,68,104,184,175,174,153,121,97,93,105,87,53,56,41,144,201,190,193,194,122,125,130,138,145,150,149,141,96,63,168,175,174,163,145,119,91,109,117,90,53,52,41,121,208,196,191,187,122,126,130,138,144,156,161,123,53,136,180,174,173,164,141,120,93,118,123,93,55,50,51,61,97,79,108,146,122,126,132,136,153,182,134,59,105,173,169,175,171,162,137,119,93,115,131,100,48,52,55,39,23,24,83,103,124,126,131,134,172,135,74,116,171,167,172,173,169,159,140,120,93,97,132,113,51,52,52,45,23,55,52,43,123,126,132,139,150,119,143,169,164,169,172,174,166,157,138,119,95,80,120,125,65,50,50,37,0,33,48,39,123,127,133,141,147,159,161,160,166,169,172,175,163,155,140,114,90,80,87,116,82,51,51,26,0,20,48,33
20,66,71,75,85,106,124,132,137,149,155,160,165,170,178,169,181,185,181,183,182,182,182,182,181,180,180,179,176,67,72,76,87,110,129,136,143,155,162,166,171,174,209,143,139,177,187,188,187,187,187,187,186,184,184,184,182,68,73,78,90,115,133,140,148,161,168,174,180,180,226,155,141,144,149,203,192,193,192,191,191,189,188,189,187,69,75,78,94,119,135,142,152,165,173,179,186,186,232,157,147,186,98,195,201,198,197,197,197,195,194,194,191,70,76,78,96,121,138,145,156,170,177,184,190,192,228,154,127,205,92,161,214,202,204,203,201,200,199,198,196,71,75,78,100,123,141,148,158,172,180,187,194,196,229,182,112,199,118,130,220,207,209,208,206,205,205,203,202,71,76,80,103,126,143,150,161,175,184,190,197,197,233,190,106,197,154,112,217,215,214,212,212,211,210,209,207,72,77,81,105,127,145,152,165,178,187,194,201,202,237,176,101,189,162,100,211,221,218,217,216,215,214,213,212,73,76,83,107,129,147,154,167,181,190,197,205,206,246,192,102,190,191,102,202,227,221,222,221,220,219,217,216,73,76,84,108,132,150,156,169,183,193,199,205,208,236,186,99,176,205,111,190,234,224,224,224,224,224,222,219,74,77,85,110,134,151,157,173,187,194,205,204,175,215,139,84,169,200,108,175,240,227,228,228,227,226,222,221,74,77,87,112,137,152,160,175,189,197,213,240,209,205,175,85,147,192,102,158,244,230,229,228,228,232,239,232,74,75,88,115,140,155,162,177,190,194,214,255,243,166,174,150,114,123,89,144,242,229,239,244,237,216,167,98,75,75,89,117,142,157,163,178,202,187,183,192,231,179,104,140,158,107,65,113,252,239,206,154,110,69,38,41,73,75,92,120,143,158,166,177,227,248,202,126,169,226,126,73,135,153,96,77,169,107,57,39,37,50,57,52,70,72,91,120,144,157,166,181,217,218,232,167,104,206,214,90,97,162,158,97,44,35,37,44,43,35,54,49,69,70,90,120,145,157,165,184,207,136,148,187,157,163,216,122,96,149,172,142,73,35,38,28,50,35,38,50,68,70,91,121,146,159,168,185,219,182,122,108,171,157,107,98,89,100,159,158,113,56,44,27,32,45,32,39,63,65,90,122,149,160,171,188,225,192,120,99,109,121,115,135,142,130,159,153,130,79,26,49,25,34,34,35,98,100,106,119,135,144,153,161,208,183,135,129,132,145,165,188,218,221,185,123,118,79,3,41,42,25,32,28,105,106,105,102,105,107,112,101,160,223,183,139,137,170,192,227,247,223,178,119,97,67,0,21,48,36,32,23,106,108,111,113,113,113,117,111,136,230,197,159,139,180,192,235,244,216,171,120,94,65,5,5,38,39,37,28,108,110,111,113,113,115,118,116,121,221,218,189,140,186,191,228,232,197,159,122,94,65,21,0,24,40,38,34,108,109,109,110,111,113,116,119,111,198,226,202,148,186,187,203,224,196,155,120,93,55,35,0,7,38,35,33,107,107,109,110,111,112,114,117,110,156,222,205,163,191,168,175,204,207,156,114,93,39,40,13,0,28,36,27,107,108,109,109,111,112,113,116,117,116,195,217,182,191,162,149,189,195,145,103,84,27,38,30,0,8,37,22,107,108,109,109,110,112,113,114,117,112,140,214,195,182,162,129,156,167,130,105,63,0,33,40,13,0,25,32,106,106,109,109,110,111,112,112,114,117,111,192,206,177,154,133,127,146,129,110,28,0,16,43,26,1,5,29
8,209,209,210,214,215,215,214,213,212,211,212,210,210,210,209,207,206,206,205,203,202,202,201,200,198,195,193,193,212,212,213,215,216,215,215,216,215,214,213,212,214,210,209,209,208,207,207,205,204,204,203,201,199,197,195,194,215,215,215,217,217,216,216,216,216,216,215,208,202,213,211,211,210,210,209,207,205,204,203,202,200,198,197,196,215,216,217,219,219,219,218,217,217,215,219,205,145,204,217,212,212,212,210,207,207,207,205,204,202,200,199,197,216,217,219,220,220,219,219,219,219,215,227,190,119,197,219,215,215,211,211,210,209,209,207,207,205,203,200,198,218,219,220,221,223,221,221,222,221,219,232,163,117,213,218,216,215,213,212,212,211,210,209,208,206,203,202,201,219,221,222,223,225,224,223,224,221,227,235,154,131,225,216,218,216,216,214,213,212,211,210,208,207,205,203,202,221,223,223,223,224,225,225,226,220,236,230,144,148,228,216,221,221,214,215,214,212,211,210,210,208,206,205,203,222,224,224,224,225,226,226,225,221,240,215,128,161,231,222,196,195,225,217,214,213,212,211,211,209,207,206,203,223,224,226,226,227,226,227,228,223,246,211,159,178,227,233,199,149,186,214,222,215,213,212,212,211,208,207,205,225,226,226,227,227,228,229,229,226,249,212,190,190,222,224,229,191,149,153,167,219,220,220,215,211,210,208,207,226,227,227,228,229,230,231,229,229,242,220,199,206,240,199,235,218,208,188,115,131,171,162,212,214,210,210,208,227,228,229,229,230,232,232,227,239,237,202,210,225,228,192,178,216,203,188,136,76,87,83,133,224,210,211,209,227,230,230,231,232,232,232,231,239,214,199,203,213,213,178,119,151,226,190,148,85,73,84,87,210,215,212,210,229,231,232,232,233,233,231,243,237,192,177,180,205,199,147,101,81,237,205,155,88,89,95,93,215,215,213,211,230,232,232,233,234,235,232,255,245,210,168,137,195,180,126,98,109,234,216,158,91,78,70,154,227,214,214,212,231,233,233,234,237,232,244,255,238,207,177,145,185,211,190,214,218,205,199,156,105,54,111,223,217,216,215,213,232,235,236,235,237,233,255,255,225,211,182,167,141,227,246,216,220,186,165,157,109,90,215,225,219,219,217,216,233,236,237,237,238,238,255,248,225,213,167,150,198,243,230,192,208,190,137,151,89,159,237,220,222,220,218,215,234,236,237,238,235,244,255,244,228,208,165,195,247,238,219,190,186,184,121,122,76,200,231,223,223,221,218,216,236,236,238,237,240,248,255,248,229,205,184,228,240,228,208,179,170,164,117,86,103,235,225,225,224,221,220,220,237,238,239,243,217,248,255,247,221,200,187,220,220,208,193,165,166,136,100,63,166,239,226,225,225,223,221,218,236,236,245,224,97,143,233,228,198,183,189,195,211,194,175,159,143,107,76,78,224,230,229,226,224,223,222,220,238,238,245,132,90,82,110,194,206,194,189,188,211,187,160,136,102,87,55,161,240,227,229,226,225,224,223,221,235,251,184,85,91,90,82,89,155,188,178,186,198,159,128,107,93,63,111,239,229,231,230,226,226,224,222,222,247,224,105,88,86,82,87,66,48,85,101,144,168,125,93,88,63,93,227,236,232,232,230,228,227,225,224,223,241,137,82,89,83,77,80,84,38,54,55,55,71,79,71,57,119,228,237,231,231,232,229,228,225,224,223,222,165,81,88,85,80,73,77,82,35,43,58,48,40,42,32,98,247,234,232,232,230,231,229,226,225,223,221,220
7,134,137,139,140,141,142,144,144,144,145,144,144,144,144,144,143,143,142,143,141,141,140,139,138,137,136,135,134,136,139,140,141,143,143,145,145,145,146,146,146,145,145,145,144,144,143,142,143,143,141,139,139,138,138,137,137,138,139,141,142,145,145,146,147,148,149,148,147,147,147,147,146,145,145,144,144,143,142,141,140,138,138,138,137,139,140,143,144,145,147,149,148,149,149,148,149,150,149,148,146,146,146,145,145,144,144,142,141,141,140,139,139,140,142,145,146,147,149,151,151,150,151,150,150,151,150,149,148,148,146,146,145,145,144,143,143,142,141,141,140,142,145,147,148,150,152,152,153,152,152,152,151,150,151,151,150,149,148,147,147,145,145,145,144,143,142,142,140,144,146,149,149,152,154,156,159,157,155,156,157,157,157,156,155,154,154,153,154,151,148,147,145,145,144,142,141,144,146,150,151,152,151,138,132,141,146,139,130,131,131,137,137,134,132,136,126,126,142,145,146,147,146,143,143,146,149,151,152,151,137,108,86,88,100,111,103,94,85,99,115,115,101,113,88,111,148,121,146,148,146,145,144,148,150,149,147,138,128,120,109,84,69,86,92,95,82,87,104,103,98,96,91,101,124,108,146,151,148,146,145,146,143,135,130,132,136,137,117,70,56,70,81,74,53,62,59,64,72,67,65,71,76,114,151,137,146,148,145,138,134,133,133,127,117,128,100,50,61,72,88,87,74,58,69,99,115,106,89,101,102,133,171,106,132,153,147,136,133,130,124,114,110,113,106,70,45,51,68,75,86,80,68,100,118,110,99,98,95,87,102,101,148,151,149,135,127,121,117,117,115,115,117,92,46,23,24,35,56,61,58,71,70,72,66,72,83,96,117,151,155,151,151,129,122,118,115,114,112,113,106,79,46,24,35,101,79,76,84,97,108,118,130,149,158,161,162,156,154,153,152,122,115,109,108,102,101,99,91,70,40,32,23,131,179,162,166,171,170,168,165,162,159,157,157,156,156,154,152,117,113,109,108,107,105,102,99,81,41,29,27,49,172,165,166,164,163,162,160,160,160,159,158,157,157,155,153,117,115,110,110,106,106,109,110,84,42,32,32,30,158,171,166,166,165,164,163,162,162,161,159,158,158,156,155,123,124,120,110,103,93,97,96,73,49,43,37,20,126,178,166,166,165,166,165,164,163,162,161,160,158,157,156,124,124,121,109,101,90,85,78,60,52,52,44,26,53,177,169,168,167,167,165,164,164,163,162,161,160,158,156,118,114,104,90,84,76,69,63,53,49,54,42,18,74,178,169,169,168,167,165,164,164,163,163,162,159,158,157,103,99,82,64,53,49,53,34,31,42,44,64,117,156,172,168,168,167,166,165,164,164,163,163,162,160,158,157,64,75,66,47,66,108,153,124,91,98,131,166,179,172,170,170,170,168,167,166,165,164,164,163,162,161,158,157,0,10,4,79,175,173,173,178,178,177,178,174,169,171,172,171,171,169,168,167,167,166,164,163,162,162,160,159,0,0,0,148,174,167,170,169,170,171,171,172,173,172,171,171,171,170,170,169,167,165,165,164,163,162,159,157,0,0,65,177,165,169,170,171,173,174,173,173,174,172,171,171,171,169,169,168,166,164,164,163,163,164,163,164,0,0,152,173,168,172,172,174,175,175,176,176,176,175,174,173,173,173,172,172,170,168,169,170,163,158,148,135,0,0,141,157,153,155,157,157,157,158,157,157,156,157,155,153,152,152,152,151,149,147,136,101,63,48,31,17
5,171,173,174,177,179,179,179,179,180,176,192,145,153,182,176,177,176,174,175,176,172,172,171,169,173,108,62,67,174,175,176,179,180,180,181,181,181,177,205,125,123,187,177,178,177,179,170,161,176,172,172,179,144,61,74,87,175,177,179,179,181,182,183,183,185,184,205,116,140,189,179,180,176,188,147,109,182,173,174,173,94,58,77,95,176,179,180,181,183,183,185,184,169,196,189,107,165,188,180,180,180,170,109,122,184,173,180,150,70,66,76,88,177,179,182,183,185,186,189,198,109,190,174,105,180,186,183,184,165,133,97,170,181,175,183,124,64,78,91,98,179,180,183,185,187,190,187,205,113,165,171,111,189,186,188,172,140,98,144,187,179,178,184,136,74,87,90,95,180,183,184,186,188,190,187,212,139,142,154,119,193,190,170,144,115,119,190,182,181,178,185,155,84,91,88,81,181,184,185,187,190,191,191,202,150,129,127,136,201,167,130,121,101,173,189,184,183,181,182,172,91,78,73,74,184,185,188,189,191,193,190,206,165,118,106,155,191,128,111,95,153,192,185,186,184,183,182,188,117,54,60,78,184,187,189,189,192,194,191,211,185,124,115,145,158,114,98,125,198,187,188,187,186,185,184,191,142,64,65,62,186,188,190,191,195,195,194,206,184,123,117,123,129,114,97,159,197,190,188,187,188,186,184,189,167,134,134,99,187,190,191,194,196,195,196,199,181,125,103,102,107,106,105,188,197,184,189,192,189,189,186,188,175,108,165,166,190,191,193,195,196,197,197,198,188,144,110,102,93,90,136,196,150,124,134,184,196,190,188,189,170,123,178,139,190,192,194,196,197,199,198,197,196,162,112,95,94,88,118,125,111,129,131,138,165,188,190,192,188,159,117,124,191,192,194,196,198,199,200,197,205,181,134,99,93,95,92,101,116,110,138,158,148,160,167,165,174,189,136,158,192,194,196,197,198,200,201,201,212,201,167,117,94,95,103,93,87,94,129,128,147,157,152,120,120,175,177,170,191,194,197,198,201,202,202,202,212,211,181,125,96,90,98,86,124,180,191,162,152,133,149,149,133,104,176,178,193,195,197,199,202,202,203,202,216,220,183,129,100,91,78,131,217,197,201,198,161,159,166,144,121,134,184,127,193,196,198,201,202,204,204,203,220,225,187,135,103,86,70,109,165,208,191,143,143,162,137,113,170,194,194,154,194,196,198,201,203,204,205,204,220,227,190,140,107,80,79,89,94,162,130,136,154,127,93,169,200,189,190,186,195,197,199,202,204,205,205,208,222,224,186,140,109,80,80,94,101,88,110,142,125,102,161,198,191,192,191,189,195,197,199,202,203,206,204,208,226,220,182,141,109,81,83,98,103,106,115,120,109,178,204,193,193,193,191,189,196,197,198,201,202,204,203,207,226,216,174,136,109,83,87,106,107,110,103,98,176,203,195,195,193,192,190,188,196,198,199,202,203,205,203,210,220,206,167,138,109,81,90,110,113,109,94,166,204,195,198,196,193,191,191,190,196,198,200,202,204,204,199,216,220,199,168,142,107,80,86,109,116,97,125,210,195,198,197,197,194,192,192,191,196,197,199,202,205,199,203,226,219,195,168,142,107,86,87,110,113,87,169,204,197,198,197,197,194,192,192,191,197,199,201,203,205,192,221,228,213,189,171,140,103,88,96,113,91,120,206,199,198,198,197,196,194,193,193,189,196,198,201,206,194,197,230,222,201,185,170,134,98,89,99,99,96,189,204,200,199,197,198,197,196,194,194,182
7,231,231,231,230,229,231,230,231,231,229,227,227,223,194,225,220,205,189,181,175,158,144,133,97,78,44,88,200,233,234,234,233,232,233,232,231,231,232,231,229,229,216,222,227,207,184,155,147,127,101,86,65,60,38,102,207,235,235,235,236,235,236,235,236,235,235,234,233,230,218,226,226,214,196,154,123,92,70,57,49,46,48,103,209,237,238,238,239,239,239,239,240,239,237,234,232,239,225,222,225,218,213,208,194,163,119,79,56,62,55,103,211,237,238,238,238,239,239,240,240,238,238,236,240,198,203,228,222,215,217,221,213,215,168,101,76,74,61,106,213,240,239,240,239,239,239,240,240,240,240,242,232,145,165,239,228,219,219,223,210,215,168,79,83,81,71,99,214,241,241,240,242,241,240,241,241,241,238,249,203,164,236,205,221,222,211,224,214,206,148,83,87,88,86,61,119,244,243,244,242,243,244,244,245,246,246,245,201,242,255,216,159,207,208,210,204,186,134,93,90,94,89,51,65,246,245,247,246,246,250,251,243,232,222,223,255,255,255,255,213,164,190,204,197,180,147,108,97,99,89,46,64,246,246,248,250,248,235,218,201,190,174,130,125,157,186,199,190,160,144,164,180,177,154,116,106,104,86,67,161,251,249,237,225,207,193,191,187,184,173,123,90,111,132,135,130,139,139,119,120,138,132,120,116,103,79,104,202,218,205,194,189,189,195,191,185,181,157,118,108,109,118,127,131,135,137,119,103,118,106,116,114,109,87,141,151,194,197,201,199,197,200,198,201,191,168,124,103,112,123,127,125,132,129,111,104,109,109,120,118,152,125,185,112,205,202,203,198,200,206,206,202,194,177,121,92,111,126,140,134,135,130,122,115,107,124,113,112,133,127,121,48,201,202,206,207,204,199,199,192,185,152,105,105,116,120,125,125,126,124,123,111,111,130,118,115,109,126,138,109,212,211,205,205,200,201,200,193,188,150,93,91,91,85,89,94,104,107,101,109,104,111,112,105,104,113,133,117,210,210,204,202,203,205,193,189,204,175,92,76,78,72,109,122,106,161,190,142,144,95,93,111,102,96,85,83,198,201,204,198,197,195,185,194,199,158,96,83,87,83,82,97,109,136,149,121,105,118,123,126,64,77,103,72,189,189,196,193,187,184,182,184,179,134,90,92,91,90,84,80,188,199,126,99,98,131,193,79,21,37,117,130,184,183,182,186,184,181,180,183,182,126,81,68,87,99,83,114,172,96,123,99,95,136,129,26,79,64,105,171,180,182,178,183,183,181,182,181,182,125,76,60,63,83,76,88,107,82,90,87,92,103,97,108,115,102,119,167,182,173,163,165,164,162,165,164,149,111,77,67,78,91,87,84,146,92,150,130,111,96,143,98,75,79,118,161,161,164,149,135,129,128,127,120,94,85,84,133,127,103,120,95,123,126,165,86,72,56,141,111,85,98,85,123,138,144,129,113,104,109,111,108,140,202,203,207,165,130,123,116,79,79,141,67,90,52,82,134,82,104,75,89,126,128,145,156,163,171,213,185,197,206,209,171,192,221,220,122,92,76,107,110,80,67,136,88,83,106,73,86,179,128,238,255,241,203,241,137,199,175,201,214,205,201,227,167,72,137,93,91,65,128,230,125,82,106,84,80,182,137,202,237,239,219,220,116,184,150,189,208,202,203,206,193,137,191,183,119,39,158,211,142,134,186,117,76,147,156,221,242,249,251,218,166,111,132,191,198,189,164,177,187,199,177,199,149,51,150,180,134,174,207,162,90
12,204,206,209,208,208,210,211,209,210,212,212,210,212,215,212,212,213,212,211,212,212,213,210,211,210,209,210,210,208,210,210,211,211,213,214,213,213,215,215,216,215,212,215,218,215,213,213,213,215,215,213,214,213,212,211,209,210,211,212,214,214,215,215,217,216,217,215,202,213,232,204,190,213,219,217,216,217,218,216,214,214,214,214,212,211,213,216,215,216,217,216,218,215,250,233,192,168,255,225,173,160,226,216,219,223,217,218,217,217,217,216,216,214,216,219,218,218,219,220,219,224,255,255,219,146,229,255,204,124,201,214,179,199,227,220,221,221,220,219,218,217,218,220,222,221,222,222,220,230,255,255,230,159,184,255,222,161,117,206,175,123,207,227,223,224,221,221,219,219,219,221,221,222,225,226,222,235,255,255,238,178,148,255,231,189,108,167,189,101,148,238,223,227,225,225,223,219,221,223,223,224,226,227,223,240,254,255,255,196,127,227,241,190,127,100,168,112,137,242,226,228,226,226,224,221,223,225,227,227,229,227,227,229,206,241,255,228,179,154,227,176,110,58,115,108,148,242,228,230,228,229,227,224,225,228,228,231,222,232,255,196,161,189,217,229,177,102,128,130,67,97,148,90,167,244,229,232,230,230,231,224,224,229,232,226,245,255,247,161,132,140,129,176,134,94,112,158,129,186,166,90,200,239,231,234,232,231,230,226,228,229,227,244,255,255,213,161,135,91,84,109,160,149,168,215,247,216,143,90,226,244,234,236,235,234,233,226,229,231,230,255,247,218,226,188,154,95,89,95,94,109,135,197,255,255,237,162,135,226,240,235,235,235,235,229,228,229,236,255,236,202,232,201,156,109,81,106,109,106,97,203,244,255,241,194,140,128,243,237,236,236,235,229,228,226,255,255,231,185,214,219,206,156,89,111,134,120,202,253,239,231,207,197,187,115,215,245,238,238,237,229,232,231,252,255,251,205,149,213,243,177,106,106,138,200,255,253,240,222,170,177,168,117,228,244,239,239,239,231,232,232,244,255,255,232,172,155,195,232,197,109,222,255,252,243,227,208,166,143,120,137,252,241,240,240,240,231,232,233,245,255,255,242,195,189,163,177,173,199,255,255,254,234,217,191,159,122,90,186,253,242,243,242,240,232,233,234,242,255,255,255,210,206,198,148,187,255,255,255,250,216,200,168,151,107,99,235,245,242,244,244,242,231,232,232,235,255,255,255,234,215,201,192,186,255,255,255,237,195,176,153,146,93,144,255,241,244,245,244,244,231,230,233,229,247,255,255,255,229,205,208,180,246,255,247,222,176,151,156,133,82,196,253,242,244,244,244,243,231,231,235,231,227,255,255,255,234,210,203,192,225,255,223,196,159,142,161,112,99,241,246,244,243,243,243,241,232,234,235,239,225,255,255,233,220,208,202,200,206,228,205,168,150,151,146,89,160,255,243,244,244,244,244,244,231,234,236,242,229,252,247,214,205,202,204,193,196,206,191,175,147,143,118,103,234,250,245,245,244,244,244,244,231,236,236,239,233,247,244,217,216,216,208,193,189,207,203,167,126,124,90,186,255,245,247,246,246,246,246,245,233,234,237,237,233,242,251,231,229,223,213,204,184,215,192,138,114,96,127,252,244,248,246,246,246,246,246,245,229,233,237,240,237,240,255,235,238,231,217,214,173,208,170,131,111,88,210,255,247,249,248,248,247,246,246,245,149,152,153,162,158,208,255,248,245,243,224,216,168,194,162,134,96,107,230,232,235,238,241,243,245,246,245,244
3,116,126,133,137,140,144,148,152,154,156,157,158,160,161,161,161,164,164,161,162,162,161,161,161,160,159,158,157,121,130,136,140,145,149,153,157,159,161,163,164,165,165,166,172,141,158,169,166,167,166,165,165,164,163,161,161,126,135,141,144,148,154,157,161,164,166,168,169,170,170,171,178,111,115,181,170,172,172,171,170,169,167,166,165,130,139,145,149,153,158,162,166,169,171,172,173,175,176,177,177,111,82,176,176,176,176,175,175,173,171,169,169,133,142,149,152,157,162,167,170,173,175,177,178,179,179,180,185,115,68,164,184,179,179,178,178,177,175,174,173,136,145,153,156,160,165,170,174,176,179,180,181,183,184,184,190,126,65,150,192,182,182,183,181,180,178,178,177,140,148,155,158,163,168,173,178,180,182,183,185,187,187,185,206,147,68,131,199,186,187,187,185,183,182,181,180,142,151,158,162,167,171,176,180,183,186,187,188,188,190,176,181,135,62,117,200,188,191,190,189,187,186,184,184,145,154,161,165,169,174,179,183,185,188,190,193,193,217,190,134,92,75,108,200,193,193,193,193,191,190,188,187,149,157,163,167,172,178,182,186,187,191,194,183,156,200,216,162,83,134,120,190,199,196,196,196,195,194,191,190,151,159,164,169,176,180,184,188,191,190,208,200,160,151,225,173,136,183,89,158,208,198,199,198,197,196,194,193,153,161,167,171,178,182,186,190,194,172,167,212,200,146,193,171,148,160,75,97,208,201,201,200,200,198,197,196,155,163,169,173,179,183,188,192,204,196,165,157,206,157,163,168,120,160,112,74,152,213,200,202,201,201,200,199,157,165,171,176,181,185,191,196,193,208,200,135,149,177,132,171,120,139,147,98,100,212,202,203,203,202,200,200,158,166,173,176,183,187,193,198,186,144,169,115,90,153,95,171,170,103,144,109,98,209,206,206,205,205,204,202,159,167,173,178,183,189,194,198,197,138,143,117,74,130,100,99,100,58,125,115,94,209,209,207,207,205,205,203,160,168,174,180,185,190,195,199,207,177,124,115,90,111,154,88,38,78,152,124,82,193,214,208,208,207,207,206,160,167,173,179,185,190,196,199,203,166,115,96,80,66,116,98,83,125,168,126,76,177,221,209,209,209,208,207,161,167,173,179,185,189,195,198,202,190,147,104,82,70,84,146,162,165,145,110,83,189,217,209,210,209,209,208,161,168,175,180,186,191,195,198,207,200,156,112,104,112,124,204,211,179,140,92,98,210,212,209,210,210,207,203,163,171,177,182,186,191,196,199,204,201,171,135,121,114,137,206,201,164,133,87,120,222,215,212,214,191,172,201,157,166,173,180,186,192,198,203,207,200,176,145,122,117,133,197,194,153,119,81,145,215,194,196,195,154,151,203,99,101,105,110,116,120,123,130,134,183,180,147,136,136,122,188,186,144,106,80,139,191,165,149,187,119,158,191,95,97,99,100,99,99,100,101,92,140,185,157,145,142,114,164,171,130,95,88,166,158,171,144,156,106,177,181,98,99,100,102,103,105,109,111,104,119,188,163,143,136,105,127,145,103,83,130,173,149,154,161,117,116,185,175,97,99,101,100,104,103,103,107,98,158,212,163,138,122,96,106,109,89,96,154,166,149,150,151,106,147,176,176,97,99,101,101,103,103,103,105,99,184,209,161,136,112,100,102,98,77,137,151,136,150,144,135,132,155,172,176,96,98,101,100,100,102,104,102,107,186,195,161,138,124,109,97,89,79,167,154,102,142,145,135,152,148,181,172
3,118,124,129,133,136,140,145,149,151,153,154,155,156,157,158,159,159,155,158,159,159,159,159,160,160,159,158,158,121,127,133,137,140,144,148,152,154,156,158,159,160,161,162,164,160,139,151,162,162,163,163,163,162,162,161,160,126,132,137,141,145,149,153,157,159,161,163,164,165,166,167,170,163,120,136,166,168,168,168,167,166,166,165,164,130,136,141,146,150,154,158,161,164,166,168,169,170,171,172,175,165,113,120,167,173,173,173,172,170,170,168,167,135,140,145,150,154,158,162,166,169,171,172,173,175,176,177,179,169,113,111,166,178,178,177,176,175,174,173,172,138,144,150,154,158,162,167,170,173,176,177,178,179,180,181,183,178,122,108,165,182,182,181,181,180,178,177,176,141,148,153,157,162,166,171,174,177,179,181,182,184,185,185,180,175,124,104,161,185,186,186,185,184,183,181,179,145,151,156,160,165,169,174,178,181,183,185,186,184,189,197,172,143,122,111,159,188,190,190,189,188,186,184,183,148,154,159,164,169,173,178,183,185,187,189,192,181,177,202,184,141,147,123,153,191,193,192,192,191,190,188,187,151,157,162,166,172,176,181,186,189,188,185,198,195,173,186,188,156,157,113,131,188,196,195,195,194,193,192,191,154,159,165,169,175,179,184,188,192,197,186,179,191,180,170,179,153,157,124,112,168,198,199,198,197,196,195,194,156,162,167,172,178,182,186,190,195,202,197,168,154,173,158,171,153,151,147,116,138,195,202,201,200,199,198,197,158,164,169,175,180,184,189,193,196,184,172,150,118,148,138,159,161,133,147,123,126,192,205,204,202,201,201,200,160,166,172,176,181,186,191,195,198,177,150,140,109,131,129,119,111,94,135,126,125,192,207,207,205,204,203,202,163,168,174,179,184,188,193,197,202,192,158,133,109,118,141,104,65,86,149,133,122,189,209,209,207,206,206,205,164,170,175,181,186,190,194,199,204,194,151,113,92,88,114,99,82,122,169,136,114,180,210,210,209,208,207,207,166,172,177,182,187,192,196,200,205,198,163,123,96,81,91,117,143,166,166,128,110,177,212,213,212,211,209,209,168,173,179,184,189,194,198,201,208,208,177,135,109,103,120,171,202,190,154,114,114,186,215,215,214,213,212,211,168,174,180,185,190,195,199,202,208,211,187,149,127,123,143,198,213,183,142,104,123,198,216,216,216,215,213,212,169,175,181,186,191,196,200,203,208,210,193,162,138,130,151,201,206,170,130,100,138,208,218,218,217,216,215,214,169,175,181,186,191,196,199,204,207,207,194,167,147,140,151,196,196,158,119,100,157,214,219,219,219,218,216,215,170,175,181,187,192,196,199,203,206,205,194,173,158,149,146,184,181,145,109,105,176,218,219,219,218,218,216,215,171,176,182,188,193,197,200,204,206,206,196,178,161,148,135,162,161,129,102,118,192,219,219,219,218,217,215,212,171,177,183,188,193,198,201,204,206,207,203,182,160,140,121,137,135,111,103,149,209,220,220,219,218,215,204,188,165,172,177,183,189,194,197,201,204,207,208,184,158,133,117,122,115,102,119,185,213,215,213,210,206,201,177,156,127,132,136,142,147,151,156,161,169,196,208,185,162,137,123,117,107,100,147,204,197,190,193,178,178,181,150,141,102,104,106,108,109,110,111,114,128,183,201,181,164,150,128,112,98,104,175,216,194,174,173,166,157,160,131,145,102,103,105,106,107,109,112,112,130,187,195,171,160,153,125,104,93,116,177,210,195,172,157,165,153,142,124,153
23,146,149,150,155,160,165,168,171,174,176,178,180,181,184,185,186,187,187,187,187,186,186,186,185,184,183,183,183,147,150,151,156,161,165,170,171,174,177,179,181,183,184,186,188,188,187,187,187,187,187,187,186,186,185,185,184,147,151,152,157,162,166,170,172,175,178,180,182,185,185,187,188,189,188,187,188,189,189,188,187,187,187,186,185,148,151,153,158,163,167,171,174,176,180,182,184,186,188,188,188,189,189,189,190,191,190,190,189,188,187,187,186,149,151,154,159,165,169,173,176,178,181,183,185,187,188,190,191,191,191,191,191,187,174,170,180,189,188,188,187,151,152,155,160,166,171,175,177,180,183,185,186,187,189,191,193,193,192,190,189,182,167,161,155,170,173,190,188,151,153,155,161,166,171,175,178,180,183,186,188,189,191,192,193,195,196,184,187,178,147,164,157,134,121,187,190,151,155,158,163,167,172,176,179,182,185,187,190,192,194,195,195,201,192,157,156,133,97,132,123,114,153,191,191,153,157,159,163,168,173,177,181,184,186,189,191,192,194,195,200,201,186,131,87,125,160,189,181,184,193,193,193,154,157,160,164,169,173,177,181,184,187,190,191,192,195,196,205,197,185,135,115,193,194,195,197,196,195,194,194,155,157,160,165,170,176,179,182,185,187,190,192,193,193,193,197,188,186,169,167,184,162,142,189,197,196,195,195,156,158,162,167,172,177,181,184,186,189,192,194,197,184,178,177,185,190,190,195,185,156,92,159,202,197,196,195,157,159,162,167,173,177,182,184,186,190,193,200,199,177,157,156,164,165,162,171,164,143,87,143,203,198,197,196,158,159,162,168,174,178,182,185,187,191,194,203,195,167,140,133,164,175,168,157,140,133,92,133,204,200,199,197,159,160,163,169,175,179,183,186,190,192,198,208,195,166,144,140,150,165,169,173,156,121,79,124,205,201,200,199,159,160,164,170,176,180,183,188,191,193,206,209,198,181,177,173,160,140,129,138,142,112,65,129,207,202,200,200,159,161,165,171,177,181,185,189,192,197,211,210,197,180,179,168,178,160,137,123,98,81,61,124,192,204,202,201,159,161,166,172,177,181,186,189,193,208,214,212,190,166,157,135,171,174,149,116,84,66,84,127,149,204,203,202,159,161,166,172,177,182,187,188,205,220,214,202,162,123,117,105,116,155,157,108,71,66,91,110,88,150,205,203,161,163,167,172,178,184,185,200,222,221,206,183,156,117,79,85,110,182,169,100,68,65,89,86,62,71,186,205,162,163,167,173,178,182,194,220,224,213,195,172,154,119,72,99,150,174,142,82,62,61,86,79,63,60,165,207,162,164,167,173,178,183,218,227,218,201,182,173,151,111,67,63,94,111,96,62,56,75,84,77,64,94,188,206,162,164,168,174,178,200,229,223,212,193,178,167,138,106,76,54,60,69,73,68,63,84,85,80,115,185,208,206,161,162,168,174,189,226,223,215,202,182,169,153,126,98,71,66,85,92,89,82,70,73,98,153,202,209,207,207,160,161,149,146,213,227,212,203,187,171,156,139,112,88,68,81,98,100,91,78,76,122,190,209,209,208,207,207,161,160,95,68,194,217,201,187,169,154,141,125,101,82,72,88,93,85,70,88,163,206,211,209,209,208,208,207,161,137,66,52,91,161,182,169,158,145,133,115,94,73,69,81,77,67,96,177,212,211,210,210,209,208,208,208,158,94,51,51,52,70,111,132,133,128,117,106,78,53,52,61,67,111,189,214,211,211,211,211,211,209,209,208
8,175,177,178,179,179,180,181,181,182,181,180,180,181,181,182,182,181,181,179,177,176,174,173,172,170,171,168,166,178,179,179,180,181,182,183,184,184,184,182,184,183,183,184,183,182,181,180,179,178,176,175,175,172,171,170,168,179,181,181,182,185,185,185,185,185,189,196,164,185,185,186,186,184,184,182,181,180,178,177,176,175,173,172,170,181,182,183,183,186,186,187,188,183,201,204,139,185,189,187,187,186,185,183,183,183,181,179,178,177,176,174,173,182,183,185,185,187,188,188,190,183,209,200,138,191,187,191,191,186,188,186,184,185,181,181,181,178,178,177,175,184,186,188,188,189,189,189,192,185,215,206,145,195,204,180,184,197,181,181,187,183,190,180,174,183,179,179,177,187,188,190,190,190,191,191,193,187,222,204,144,214,230,178,157,218,178,150,189,176,203,178,150,188,180,181,179,188,190,191,191,192,192,191,194,187,223,205,145,229,235,192,150,209,188,137,184,178,193,185,138,187,184,181,179,189,191,191,192,193,194,194,197,191,222,222,179,231,239,201,148,201,193,128,186,179,165,196,146,162,187,182,181,191,192,192,194,195,196,196,197,193,226,218,220,224,230,204,141,187,188,125,192,172,128,181,178,137,166,188,182,191,192,194,195,196,196,197,195,201,229,216,219,222,216,195,135,187,179,129,191,152,121,168,196,134,162,190,183,192,193,195,197,198,198,200,193,213,230,195,198,196,204,208,139,183,174,117,161,143,125,190,203,138,177,189,186,193,196,197,197,198,200,199,195,221,235,180,173,170,177,212,136,186,178,105,164,131,144,213,188,139,190,189,186,195,197,198,199,200,199,202,197,226,235,195,157,164,167,174,165,190,166,128,171,138,191,212,159,143,197,190,191,197,198,199,200,201,201,204,200,228,237,202,167,147,164,180,202,180,176,197,201,196,193,184,141,155,192,184,164,196,198,199,200,201,202,205,200,228,238,210,180,151,159,190,200,207,225,229,217,193,167,152,130,123,124,115,102,196,197,200,200,200,202,203,199,227,239,217,195,163,156,191,218,234,232,220,207,182,151,131,115,114,110,104,101,197,198,199,201,203,203,204,200,225,239,228,208,185,169,194,226,234,224,212,192,164,137,118,112,110,103,102,102,199,200,200,203,204,203,205,202,219,239,233,216,198,176,196,228,228,215,197,172,141,120,107,102,85,77,65,54,199,201,203,203,205,204,206,204,210,239,236,219,197,181,192,221,217,199,180,148,121,105,96,89,78,66,63,50,199,201,202,202,204,205,207,209,212,239,230,212,193,179,189,205,197,178,160,127,107,103,97,83,68,58,59,55,203,205,207,206,208,208,215,181,175,239,200,195,180,171,187,190,174,154,130,104,96,98,100,96,74,54,51,53,178,180,182,184,187,188,203,119,100,229,195,193,179,177,182,176,153,129,102,76,81,91,87,96,92,63,47,48,117,116,113,115,116,116,127,117,64,153,202,193,185,177,167,160,134,108,63,49,61,79,76,85,99,78,52,43,116,115,118,117,117,115,119,129,112,112,157,176,175,160,148,135,110,79,27,31,59,71,69,73,93,88,62,44,120,119,122,122,123,122,127,127,109,115,113,121,139,138,123,120,89,45,20,54,84,88,59,65,83,92,74,50,123,120,122,122,123,122,129,128,109,107,106,99,96,98,99,99,74,31,40,77,95,87,51,59,74,90,82,61,123,120,122,125,125,125,132,125,112,109,106,102,92,84,81,77,72,63,63,64,65,56,41,50,66,81,86,69
23,190,191,195,196,197,198,199,200,199,201,202,201,201,200,200,201,202,201,202,202,201,202,202,201,202,200,201,200,191,193,196,197,198,199,200,201,202,201,201,201,201,202,202,204,204,204,205,202,202,203,203,202,202,202,202,201,194,196,197,199,200,201,201,202,204,203,202,203,204,202,202,200,192,195,204,207,204,205,205,205,205,204,203,202,195,196,199,200,201,203,204,204,204,206,207,206,202,213,223,207,190,177,188,177,197,209,207,207,206,207,206,204,196,198,200,201,203,204,206,206,206,207,208,206,216,224,213,194,173,171,157,137,199,211,208,208,208,208,207,207,197,199,201,203,205,206,207,207,207,207,208,220,219,187,181,152,162,167,166,194,211,208,210,209,209,210,209,209,199,201,202,204,206,207,207,208,209,208,209,215,197,154,149,184,216,214,217,214,210,211,211,210,211,211,211,210,201,202,205,207,207,208,209,209,210,209,210,208,185,161,155,226,210,210,204,205,214,211,213,214,213,212,212,212,202,204,206,208,208,209,210,210,211,212,213,209,185,183,150,209,210,219,208,152,194,217,213,214,215,215,213,213,203,206,207,208,209,211,212,212,213,213,212,213,199,183,169,220,231,224,206,140,165,225,214,215,215,215,213,213,204,207,208,209,211,212,212,213,213,213,212,218,206,213,231,228,213,210,199,127,140,184,188,219,214,215,214,213,204,207,209,209,212,212,212,214,214,214,213,212,216,226,220,213,216,207,176,132,95,149,154,220,217,216,216,215,206,207,209,212,212,212,214,215,215,215,211,212,219,224,225,212,211,202,140,119,90,128,122,151,224,218,217,217,207,208,210,212,212,213,214,215,215,218,216,215,216,219,214,207,212,194,132,112,94,111,121,102,156,225,216,218,208,209,211,212,213,214,216,217,215,222,226,211,212,213,213,214,203,164,127,117,96,102,120,122,115,216,220,218,208,210,212,213,214,215,216,217,217,218,221,213,215,217,208,189,155,120,130,121,98,98,118,113,155,226,218,218,209,210,212,212,215,216,216,217,218,212,217,214,211,198,175,144,101,108,133,118,93,108,124,118,207,226,219,219,208,211,213,214,216,217,217,218,220,213,215,211,207,198,160,125,97,124,122,95,91,113,117,165,229,220,221,220,208,211,212,214,216,216,217,218,219,214,213,209,214,200,141,107,98,107,92,91,102,111,122,211,226,222,223,222,208,210,211,213,213,215,217,217,218,214,210,209,216,184,139,120,93,90,95,104,118,109,156,230,221,223,224,223,209,211,212,213,215,216,216,217,218,213,210,214,218,188,148,129,96,94,117,126,131,115,192,232,223,223,223,223,208,211,213,214,216,217,217,216,218,211,208,221,214,189,156,133,110,99,124,132,134,119,205,229,222,223,223,223,208,211,213,214,217,217,217,217,219,211,203,221,213,188,160,135,119,101,125,134,131,129,220,225,223,223,222,222,207,211,213,214,216,217,218,217,219,210,204,216,210,186,157,133,122,105,122,137,121,154,232,222,224,224,224,223,209,211,212,214,216,217,218,217,220,203,201,214,206,181,156,132,121,111,117,131,116,202,228,222,223,223,224,224,210,213,216,216,219,221,222,222,225,200,211,214,197,177,153,132,121,116,114,117,177,233,226,227,225,226,225,222,153,157,161,164,166,168,171,176,173,188,226,216,194,169,148,132,121,120,110,165,217,212,214,219,219,215,213,212,130,131,132,132,132,133,135,134,125,198,234,215,192,162,146,134,120,119,125,141,150,164,170,192,203,194,200,199
20,140,142,144,146,149,152,154,156,157,158,159,161,163,162,164,166,166,166,167,167,168,168,168,167,168,167,168,168,142,144,146,148,151,153,154,157,158,159,159,162,163,164,166,152,158,168,169,168,169,169,170,170,170,170,170,170,143,145,147,150,153,154,157,159,159,159,161,164,166,164,178,136,123,147,150,172,172,173,173,172,171,172,172,171,144,147,149,150,153,155,159,159,160,162,165,167,167,166,188,141,145,149,110,170,174,173,172,172,171,172,173,171,144,147,149,152,154,157,159,160,161,163,166,167,167,168,184,141,160,161,105,165,174,174,174,173,174,174,174,173,146,148,151,153,156,158,160,161,163,165,166,167,166,173,195,153,164,166,112,164,177,176,176,176,176,175,175,175,147,150,151,153,156,158,161,163,165,165,166,168,167,182,193,151,179,168,118,160,179,177,177,177,176,177,177,176,147,149,152,155,157,159,161,163,166,166,160,160,171,185,174,144,182,164,113,155,181,178,178,177,176,177,177,175,148,150,153,155,158,161,162,164,167,171,157,117,148,192,166,137,186,154,108,158,183,180,180,178,178,179,177,176,148,150,154,157,159,162,164,164,165,178,158,128,105,162,154,135,186,153,110,168,181,180,181,179,179,178,177,177,150,151,154,158,160,162,164,170,153,153,168,158,144,117,112,119,163,146,110,172,182,181,182,180,180,180,179,178,150,152,155,159,160,160,173,189,150,123,169,177,170,132,90,88,134,134,106,174,182,181,182,181,181,180,180,181,151,153,155,158,160,162,176,162,168,142,116,144,177,159,114,89,112,112,101,178,183,183,183,183,182,181,181,181,151,153,157,160,162,161,180,156,132,123,74,77,167,183,146,96,95,101,96,177,184,184,184,184,183,183,182,181,151,153,157,160,162,163,179,151,127,120,89,90,138,196,168,117,88,95,95,177,185,184,184,183,182,182,182,182,152,153,156,161,162,163,185,178,151,127,104,112,125,199,183,141,97,84,88,178,185,184,184,183,182,182,182,181,152,154,157,162,163,164,194,172,138,120,113,126,142,199,184,153,109,78,84,176,187,185,185,184,183,182,183,182,153,156,157,161,165,165,193,167,140,130,132,133,185,209,173,149,114,78,84,180,187,186,186,185,183,183,182,183,154,155,159,162,164,167,199,174,149,139,140,145,211,207,174,145,118,81,89,183,187,186,186,185,183,184,184,183,155,157,159,164,166,167,200,180,158,137,151,168,212,196,177,144,118,83,98,188,186,186,186,185,184,184,185,184,154,157,159,163,166,167,202,186,163,149,150,181,207,183,172,139,115,81,112,190,186,186,186,185,185,186,185,184,154,156,160,164,167,166,199,188,168,170,151,185,202,182,168,142,110,80,122,190,186,186,186,186,185,186,185,185,154,157,161,164,167,166,189,195,181,184,166,174,193,174,163,143,107,79,122,192,187,187,187,187,186,187,186,185,154,158,161,165,166,167,176,196,187,187,174,168,181,169,163,142,106,80,126,191,187,188,187,187,187,187,186,186,153,157,161,165,166,168,170,192,190,179,164,167,172,164,163,153,108,81,143,191,187,187,187,187,187,187,187,186,153,157,160,165,167,168,169,191,181,168,155,158,167,163,161,153,111,85,165,190,188,188,188,187,187,187,187,186,153,157,162,164,166,168,170,190,174,164,155,154,167,165,157,149,104,96,185,188,189,189,188,188,188,188,187,187,153,158,162,164,167,169,171,194,188,179,162,159,171,158,149,141,93,119,193,189,189,189,189,188,188,188,188,188
6,214,215,215,215,215,215,215,215,215,214,213,212,211,211,210,211,209,209,208,206,204,204,204,202,201,201,198,196,216,217,217,217,217,217,216,217,217,215,214,214,213,213,213,211,210,211,209,208,206,205,205,204,203,201,200,198,219,220,220,220,219,219,219,219,218,217,216,217,216,215,214,212,212,212,211,209,208,207,206,205,204,202,202,199,221,222,222,222,221,221,220,220,219,220,219,218,217,216,215,214,214,213,211,210,210,208,207,205,203,203,202,200,222,223,224,222,223,223,222,222,221,221,220,220,220,218,217,218,217,214,213,212,211,210,209,206,205,204,203,202,222,226,227,225,227,226,225,225,223,223,221,221,222,218,219,219,218,216,214,214,213,211,210,209,207,205,203,203,224,226,228,229,229,228,227,227,226,224,222,221,222,221,221,220,220,218,217,216,216,213,213,213,210,207,204,204,227,229,230,229,229,229,228,228,229,231,230,229,225,225,226,226,224,221,218,215,212,208,197,193,206,206,208,205,228,231,231,230,231,229,231,229,223,210,204,210,211,198,187,181,172,185,187,186,175,177,152,168,223,189,191,208,230,232,233,234,233,233,222,203,193,171,155,148,150,181,170,155,142,154,182,184,170,169,160,160,198,150,187,213,231,234,239,235,222,207,178,172,182,179,178,152,88,132,161,158,120,142,145,140,129,107,110,120,141,176,211,209,236,233,219,202,188,179,172,166,172,182,173,117,73,57,77,81,82,103,114,133,139,162,179,193,209,217,213,210,216,203,189,181,173,168,165,155,161,170,157,111,67,55,62,99,141,185,216,222,227,230,227,224,220,215,214,212,205,199,189,177,170,170,168,163,162,166,169,147,85,42,138,237,233,236,229,227,224,223,223,221,220,217,215,213,217,200,188,178,173,171,171,163,163,166,170,144,85,53,80,234,231,229,228,227,226,226,226,222,220,220,217,216,202,192,188,180,172,171,169,171,166,168,165,150,88,63,43,181,244,230,231,230,228,227,225,224,221,220,219,217,191,188,186,176,175,173,172,173,175,178,176,162,102,62,46,118,247,230,232,230,229,228,226,225,223,220,219,218,203,177,174,178,186,180,173,165,159,161,163,140,95,63,55,60,233,237,232,231,230,229,228,226,224,221,220,220,195,170,171,184,188,188,170,164,156,152,143,117,93,72,48,103,241,235,234,233,233,231,230,228,226,223,221,221,166,156,174,181,178,174,165,153,143,152,140,101,93,83,48,208,247,234,234,234,235,234,231,229,227,227,223,221,115,135,155,172,163,152,141,129,118,117,100,89,88,92,52,214,243,235,235,235,233,232,231,229,227,224,223,220,43,75,108,143,139,123,112,103,94,68,49,69,98,97,41,194,247,234,236,234,233,232,230,228,226,223,222,219,39,14,21,56,85,89,71,65,66,56,55,85,92,76,66,221,242,237,237,235,234,232,230,229,227,224,222,221,43,26,0,4,5,30,98,134,108,71,68,96,113,179,221,241,237,238,236,236,235,234,231,230,230,226,222,221,37,35,0,8,0,142,255,254,242,200,176,192,233,250,246,240,239,238,236,236,235,234,232,230,229,226,223,220,34,37,5,0,31,248,250,245,249,254,255,253,247,241,241,241,239,238,237,236,234,232,232,231,231,236,238,235,41,31,1,0,164,255,244,247,248,246,244,243,244,244,244,242,240,238,239,242,243,244,238,232,222,184,149,151,43,15,0,75,255,244,248,246,247,246,246,245,243,243,243,241,240,241,238,208,166,148,127,101,75,41,20,19
22,148,148,149,148,149,150,149,149,148,149,149,149,148,147,146,145,146,146,144,143,142,141,140,138,137,135,133,131,151,151,151,151,152,152,153,151,151,152,156,153,150,150,151,151,147,148,145,145,145,144,142,140,139,137,136,134,153,153,154,154,155,154,154,154,154,155,130,149,155,153,144,135,152,149,148,148,146,146,145,142,143,142,138,137,155,156,157,157,157,157,157,157,156,155,110,121,162,155,153,97,143,154,151,151,150,148,146,148,122,130,143,139,157,158,159,159,158,159,159,159,157,153,127,97,162,156,160,97,125,160,152,152,152,150,148,154,103,98,149,139,159,159,162,162,160,161,162,161,160,159,141,85,152,160,160,97,108,164,154,154,153,150,154,150,89,106,152,143,161,162,164,164,163,163,164,163,164,159,144,81,137,166,162,102,101,164,156,156,155,152,158,137,80,124,152,144,164,165,164,165,165,165,165,165,165,163,152,100,115,172,165,112,93,164,158,159,156,155,162,120,79,145,149,146,166,166,166,167,167,167,167,165,166,166,162,120,96,171,167,105,84,163,160,160,157,162,157,107,93,158,149,149,168,168,168,168,169,168,169,168,169,169,165,129,77,163,169,101,82,161,163,161,159,160,140,83,121,160,151,151,169,170,169,170,170,169,169,170,170,170,165,144,80,135,175,112,86,159,167,162,161,153,118,73,152,156,152,152,170,170,170,170,171,170,170,171,170,172,160,149,115,93,169,118,83,157,170,164,166,157,99,100,167,155,155,154,172,172,171,171,171,171,172,172,171,173,167,153,136,106,144,119,96,136,172,168,162,142,83,138,166,158,158,157,173,174,174,173,173,173,173,173,173,174,174,157,155,164,159,144,149,99,103,156,156,114,84,164,161,159,158,156,175,175,175,175,175,175,174,174,175,175,177,166,158,145,136,138,147,104,72,80,109,79,116,173,161,161,160,157,175,176,176,176,175,175,176,176,177,176,176,173,166,124,61,90,140,119,96,86,87,57,146,171,164,163,161,159,176,177,177,177,176,176,177,177,177,177,176,173,157,107,71,51,103,125,109,104,101,52,151,172,166,165,163,161,177,177,178,178,178,178,178,178,178,178,177,171,156,131,97,61,58,65,89,105,85,47,119,179,165,166,163,162,179,179,180,180,180,180,180,180,181,180,179,167,159,137,92,63,69,70,92,132,108,67,73,174,166,166,164,164,180,180,181,181,181,181,181,182,182,182,180,165,159,128,93,73,74,98,150,158,136,98,48,129,176,166,165,164,180,180,180,181,181,181,181,181,182,181,180,167,160,140,106,77,78,125,168,174,154,127,56,98,180,165,166,164,180,180,181,181,180,181,181,181,181,181,181,166,159,146,113,77,86,142,172,169,151,116,51,111,178,164,165,164,181,181,181,182,181,182,182,182,182,182,182,162,154,157,117,83,95,157,175,156,129,98,43,139,173,164,165,162,182,182,182,182,183,183,183,184,183,183,183,159,150,153,119,85,94,164,164,141,110,87,56,162,171,166,167,170,181,182,182,182,181,182,183,183,183,183,184,158,145,144,120,83,85,152,150,137,103,71,70,171,170,175,166,121,186,188,188,189,189,189,190,190,190,188,191,170,145,145,119,89,87,146,148,127,90,49,99,188,166,128,79,40,124,128,131,136,139,143,146,148,151,155,160,158,145,139,118,102,84,137,142,111,75,44,124,130,73,42,40,39,87,86,87,88,87,86,87,86,85,87,86,97,150,140,117,104,79,109,114,81,56,43,56,45,29,37,46,33
15,103,105,105,106,109,111,113,115,118,123,133,146,159,169,177,183,187,189,190,195,200,205,207,210,214,216,217,219,107,106,105,107,109,113,112,115,119,122,133,147,159,170,176,182,186,189,192,196,200,205,209,211,214,216,218,223,109,105,106,106,108,113,114,117,118,123,137,148,158,170,176,183,188,192,195,197,202,205,210,212,214,217,221,222,109,106,105,106,108,111,105,112,121,125,137,149,159,169,178,185,189,192,195,199,204,207,212,214,216,220,224,227,108,105,106,107,105,107,160,135,114,119,137,151,163,170,178,187,189,192,195,198,204,206,212,215,217,222,224,227,107,105,105,108,98,131,245,208,175,148,139,147,158,171,183,188,192,192,194,199,204,209,212,216,220,222,223,226,108,106,106,107,102,117,205,213,195,201,183,178,163,159,168,178,184,190,195,203,210,211,213,216,220,222,224,228,107,107,107,108,109,104,125,165,148,168,184,193,191,186,168,167,165,169,174,178,188,201,213,223,219,224,226,228,107,106,106,107,108,111,109,117,121,136,151,149,176,193,186,180,175,181,184,175,153,148,136,184,231,222,229,231,106,105,106,107,108,110,114,117,116,127,136,131,141,168,166,163,154,173,203,209,183,159,133,97,186,237,225,232,106,106,105,106,107,109,113,117,116,127,143,154,161,162,159,159,137,171,199,204,190,177,168,126,110,209,234,229,108,106,105,106,108,110,112,116,117,126,142,152,166,176,180,179,171,212,206,198,202,198,186,163,129,114,220,236,108,106,106,106,107,110,113,114,119,129,136,155,167,171,186,191,213,241,190,174,217,194,200,191,158,106,121,231,107,106,106,105,108,111,112,116,119,121,173,181,174,175,164,187,231,185,170,140,224,173,212,213,164,130,93,140,105,106,106,106,108,108,110,114,115,123,213,202,202,211,193,154,162,141,101,112,209,153,216,213,167,136,110,91,106,105,105,105,106,109,111,113,117,126,170,174,208,236,212,159,158,161,125,126,174,173,207,205,168,143,113,102,106,105,104,104,103,108,111,113,116,126,141,159,188,218,184,163,187,178,173,174,166,163,147,168,158,135,110,103,103,103,102,103,102,104,106,109,113,125,142,152,169,167,143,167,188,179,179,194,191,159,112,117,133,121,113,107,102,97,100,101,103,104,104,107,111,125,142,153,153,206,177,135,153,181,189,194,190,150,110,109,115,111,115,117,101,98,98,99,101,103,106,107,112,124,140,157,149,232,229,137,71,92,163,179,181,144,112,115,114,112,118,118,101,98,97,98,100,101,105,106,112,127,140,156,154,215,214,132,74,60,81,152,152,120,111,116,116,116,119,120,101,98,97,97,100,101,104,104,111,126,140,156,153,211,215,111,103,111,65,112,149,117,115,120,126,123,120,115,98,96,95,95,98,101,104,102,109,121,138,153,155,203,213,93,157,137,115,123,143,161,143,139,129,124,119,113,96,95,93,93,97,98,101,103,108,122,135,150,150,204,222,77,156,200,107,163,149,153,128,122,117,115,115,115,89,87,85,84,88,88,91,92,97,113,130,145,144,213,207,79,136,233,125,124,208,112,114,108,96,101,103,103,159,155,151,147,143,142,140,141,144,149,157,164,164,193,141,99,178,206,128,146,217,179,201,163,84,80,82,81,136,135,133,132,129,132,135,138,139,136,133,127,126,133,105,116,144,139,125,141,147,151,147,148,111,86,87,98,122,120,120,118,118,118,119,118,117,120,119,113,111,116,123,124,118,117,123,122,119,116,116,117,123,118,124,122
17,135,139,141,147,153,157,160,164,167,169,171,173,174,175,175,175,175,175,173,164,172,173,172,172,172,170,168,167,137,140,143,149,155,159,163,166,168,171,173,174,176,177,177,177,176,181,173,128,158,175,174,173,172,171,169,168,138,142,144,149,155,161,164,167,170,172,175,177,177,179,180,179,187,178,132,100,145,178,176,174,173,172,172,171,140,143,146,151,157,163,166,168,172,174,177,179,180,181,182,180,195,187,138,82,140,180,178,176,175,174,173,172,141,144,147,153,159,164,167,171,173,176,178,180,182,182,183,181,191,195,161,94,148,181,179,178,177,176,175,173,143,146,149,154,160,165,169,173,175,178,180,181,183,184,184,183,190,207,180,120,158,183,181,180,179,178,177,175,144,147,151,156,162,167,171,173,177,179,181,183,185,186,186,186,193,215,189,136,156,185,183,181,180,180,178,177,146,148,152,157,163,168,172,175,178,180,183,185,186,187,187,186,196,219,193,141,140,186,185,184,181,181,180,179,147,150,153,159,165,169,173,177,180,183,185,186,187,190,190,189,208,223,203,153,122,184,186,186,184,183,181,180,148,151,154,161,166,171,175,179,181,184,187,186,171,169,191,194,214,218,201,157,116,181,188,187,186,185,183,181,150,152,156,162,167,172,177,180,183,185,191,187,156,113,174,197,185,192,193,152,112,177,189,188,187,187,186,184,151,153,157,163,169,173,178,181,183,183,192,180,152,94,119,151,147,181,188,153,107,175,191,190,189,187,187,186,152,154,158,164,170,175,178,184,193,193,194,167,154,133,102,97,142,187,177,154,111,174,193,191,189,189,188,187,153,155,160,167,172,177,180,193,207,197,208,196,186,163,114,85,135,172,166,149,113,165,195,192,190,190,189,189,154,156,161,168,173,178,182,194,204,163,180,196,188,168,143,104,98,130,142,133,107,151,196,194,193,192,191,190,155,157,162,169,174,180,184,189,198,163,116,126,154,170,169,137,94,84,104,111,100,142,198,195,194,194,192,191,156,158,164,170,175,181,185,189,202,179,131,77,103,150,183,162,127,93,80,92,90,148,199,196,196,195,193,192,157,159,164,171,177,182,186,191,213,196,191,108,102,164,196,173,147,117,79,73,76,154,200,198,197,196,195,193,158,160,165,172,178,184,188,191,222,208,168,128,135,215,205,176,153,125,76,59,68,166,201,199,198,197,196,195,159,161,166,173,180,185,189,192,223,206,162,163,194,217,202,165,150,116,73,58,81,188,202,201,199,199,197,196,159,162,167,174,180,186,190,193,222,203,185,183,224,201,192,168,136,110,72,58,129,204,202,201,200,200,199,197,160,162,168,175,181,186,191,195,220,213,190,193,224,200,190,181,138,96,69,67,176,206,203,202,201,200,200,198,161,163,168,176,182,188,192,196,216,219,192,197,215,193,174,165,125,84,64,84,196,205,204,204,202,201,200,200,161,163,169,176,183,188,193,195,211,220,193,182,194,169,151,133,96,74,61,118,208,206,206,204,203,202,201,201,161,164,170,177,183,188,194,197,207,212,179,158,168,156,137,111,85,75,69,170,211,208,207,206,204,203,202,201,160,162,169,176,182,188,188,184,202,205,158,146,159,166,145,113,89,71,105,204,209,208,207,206,205,203,202,201,159,161,169,176,182,186,128,67,163,200,184,178,168,170,154,114,87,70,157,210,209,208,207,206,204,203,202,201,159,162,169,176,184,167,89,48,124,197,189,176,169,166,153,115,81,80,185,210,209,208,207,206,205,203,202,201
10,153,154,154,155,155,157,158,158,157,158,158,157,157,157,155,155,154,153,151,150,148,156,146,113,139,141,139,138,157,157,158,160,160,160,161,162,162,162,161,161,161,160,159,159,157,155,155,154,151,166,153,97,134,143,141,140,162,162,163,164,165,165,166,166,167,167,165,165,165,165,164,163,161,160,159,158,155,170,154,97,131,148,144,143,167,168,168,169,170,170,170,171,171,170,170,170,170,169,168,167,165,164,162,162,159,172,147,93,129,152,148,146,171,172,173,174,174,174,174,174,175,175,175,176,175,174,173,171,170,169,167,166,164,176,150,95,130,156,152,151,174,175,176,178,178,178,179,179,180,180,179,180,180,179,177,176,174,172,171,170,168,184,155,103,135,160,156,154,178,179,180,180,181,182,182,183,183,182,182,183,184,182,181,180,178,176,175,173,174,189,155,136,137,163,160,157,181,183,183,184,184,185,186,186,186,186,186,186,186,186,184,183,182,181,179,178,177,184,167,153,102,161,163,160,183,185,186,187,188,188,189,189,188,188,188,188,189,189,188,187,186,185,182,178,158,151,169,151,86,144,169,164,187,188,189,190,191,190,191,191,191,191,190,191,192,192,192,190,188,187,186,189,178,149,133,135,96,94,165,168,190,190,192,193,194,194,194,195,195,194,195,195,195,195,194,194,191,180,165,173,185,166,137,108,99,76,123,173,194,194,195,196,196,196,197,196,197,197,197,197,197,197,193,188,191,172,137,111,125,170,172,135,85,78,92,172,196,196,197,198,198,198,199,199,199,199,199,200,199,197,178,145,156,187,161,113,51,115,158,114,72,67,96,176,198,198,199,200,200,200,201,201,201,201,201,201,200,196,185,159,130,176,184,137,66,47,73,111,95,68,105,181,199,200,201,201,202,202,202,202,202,202,203,203,200,189,185,182,149,141,186,150,96,49,57,139,133,79,111,183,201,201,202,204,204,204,204,204,205,205,205,204,199,174,149,172,155,106,152,157,104,58,78,141,151,89,108,184,202,203,204,205,206,206,206,207,207,207,207,205,200,180,132,124,137,82,104,157,109,69,89,137,142,85,105,184,203,205,206,207,208,208,208,208,209,208,209,206,193,175,145,111,122,95,86,153,147,98,94,135,109,71,123,188,204,207,207,207,208,209,209,210,210,209,209,206,199,200,174,126,116,115,93,141,165,117,86,117,89,67,156,190,207,208,208,209,209,210,210,210,211,211,211,210,199,206,187,151,124,116,115,163,161,106,83,102,82,82,182,191,208,209,210,210,210,211,212,211,212,213,214,214,201,202,195,165,136,129,144,195,189,147,112,100,76,109,193,192,208,209,211,211,212,212,213,213,214,215,216,215,203,191,191,174,150,141,150,193,192,164,127,98,70,140,197,193,206,208,209,210,211,210,211,212,214,215,215,215,207,187,188,181,170,154,150,186,183,152,115,88,74,172,197,194,207,208,209,210,211,211,211,212,215,215,215,215,213,190,179,184,178,157,141,170,161,134,101,71,98,192,194,193,209,208,210,212,212,214,214,214,215,216,216,216,216,203,174,176,171,153,133,146,144,118,87,62,145,199,194,192,210,210,211,213,213,215,215,215,215,216,217,217,216,213,187,175,163,148,132,132,142,115,76,89,189,198,195,193,203,205,207,210,211,213,214,214,215,217,217,218,218,213,194,177,162,154,143,131,137,107,69,137,201,197,196,195,136,138,143,147,151,156,161,165,169,173,176,181,187,187,189,181,165,166,150,134,132,99,69,160,198,195,187,154
22,88,91,97,113,127,137,141,145,152,158,162,167,170,172,175,176,178,179,179,178,177,177,176,175,173,172,171,170,88,91,98,115,129,138,142,146,154,159,164,170,172,174,177,178,181,173,175,181,179,179,178,178,177,175,172,172,89,91,100,117,131,140,144,148,156,168,174,142,174,176,179,180,193,154,127,184,181,180,181,164,173,178,175,173,90,93,101,119,132,142,147,152,156,187,189,111,169,180,181,182,204,152,110,186,184,186,186,124,137,183,178,175,90,93,102,121,133,143,148,153,158,185,198,116,160,183,182,186,199,144,119,191,185,196,183,114,142,185,180,178,90,93,103,122,135,144,149,155,161,179,204,127,146,186,184,190,191,137,134,192,188,199,167,106,169,185,181,179,90,92,105,123,136,146,151,157,163,176,213,153,132,188,187,188,174,123,144,193,201,203,148,116,189,184,183,181,90,94,106,123,136,148,152,158,164,173,212,161,121,183,189,190,175,113,152,195,207,189,129,149,191,186,185,183,91,94,106,124,138,149,153,158,167,173,208,168,114,170,192,190,178,112,167,206,205,157,109,177,190,188,187,184,90,94,107,126,139,150,154,160,168,173,201,194,134,151,195,177,162,99,189,220,198,138,118,194,191,189,188,186,91,94,107,126,141,152,157,161,169,176,190,202,138,122,185,154,150,123,206,209,182,113,155,198,193,190,189,188,90,95,108,128,142,153,157,163,171,179,184,199,131,90,144,159,179,202,210,189,145,104,188,197,193,192,190,188,90,95,110,128,144,153,157,164,173,179,181,196,147,118,161,170,181,198,195,173,110,143,203,196,194,194,192,190,91,95,111,130,144,154,158,165,173,191,180,146,147,127,153,162,185,182,188,149,97,183,203,198,196,195,195,192,90,95,111,130,146,156,159,167,174,207,175,166,151,156,126,108,153,168,157,113,97,195,202,200,198,197,195,194,89,94,111,130,147,156,159,168,175,213,191,178,174,166,126,93,87,125,124,99,104,204,202,201,200,199,197,195,89,94,113,132,148,157,161,167,181,220,198,154,134,146,150,135,103,79,79,84,103,207,203,202,202,201,198,195,90,96,114,133,149,158,161,171,182,225,206,141,87,93,152,156,135,105,89,72,82,200,207,203,202,200,199,198,89,94,114,133,148,157,161,170,178,221,217,162,146,84,192,177,149,126,105,64,67,194,208,204,201,201,201,199,87,92,113,132,148,157,161,169,176,219,224,175,153,124,212,196,161,131,108,61,77,204,206,203,201,201,202,201,86,91,112,133,149,157,161,170,175,214,225,179,157,184,207,180,160,121,98,59,102,214,206,204,202,202,202,200,84,89,111,132,150,158,161,170,177,204,222,198,164,206,203,163,164,138,92,55,125,215,207,206,204,202,202,200,79,85,108,130,148,157,161,170,180,194,216,201,166,199,196,166,155,139,88,50,161,216,209,208,205,203,203,202,107,110,120,130,141,149,153,159,167,166,202,201,167,162,177,150,132,112,69,62,176,191,187,186,186,185,185,185,115,115,112,106,111,113,113,114,116,85,115,193,148,122,134,122,100,81,63,77,109,107,104,104,105,104,104,102,115,115,116,115,116,115,115,117,114,72,44,106,121,120,128,135,112,82,54,79,111,106,105,105,104,103,84,59,116,116,116,116,116,116,117,119,95,54,55,45,82,122,128,131,102,59,19,57,114,108,107,107,87,62,40,32,116,116,116,116,116,116,118,115,68,60,57,52,46,65,89,78,43,18,9,75,114,107,108,88,51,43,33,23
19,120,122,125,128,129,133,134,135,136,137,137,137,138,139,140,141,141,141,141,141,142,140,141,142,140,139,140,138,122,125,130,133,134,136,138,139,140,140,140,141,142,144,144,146,145,144,144,145,146,144,145,146,144,144,144,142,127,130,134,137,139,141,142,144,145,145,145,146,145,147,151,147,147,148,149,149,149,148,148,148,147,147,146,145,132,134,138,142,143,145,145,147,147,148,148,152,147,102,120,157,150,152,153,152,153,152,152,152,151,151,149,147,134,138,141,144,145,147,147,150,151,152,149,165,154,100,67,157,155,155,155,155,155,154,155,156,155,155,154,152,137,140,144,147,149,151,152,153,154,155,153,169,159,116,48,140,168,164,163,160,159,159,157,159,158,158,157,157,141,145,147,151,153,155,156,157,158,159,158,169,160,111,49,121,141,136,158,159,160,165,167,164,164,162,160,160,145,148,150,153,155,157,158,160,165,166,163,167,150,131,143,150,124,90,119,121,114,125,132,157,155,162,163,161,147,151,154,156,159,160,162,164,162,158,159,155,156,158,150,136,119,84,98,125,122,118,105,130,109,144,171,164,151,154,156,159,162,163,165,160,129,127,137,141,141,134,130,134,127,83,59,87,94,89,83,85,116,164,170,167,153,156,159,162,164,165,171,148,121,118,118,123,129,135,133,133,126,68,133,163,154,147,150,158,175,174,170,169,154,158,161,164,167,168,175,143,140,124,107,109,117,121,116,111,111,73,145,188,179,182,182,180,176,176,173,172,157,160,163,166,170,170,169,172,167,124,96,105,110,120,129,121,111,81,100,189,176,178,178,179,178,177,177,175,159,163,165,168,171,173,167,174,178,147,117,88,89,103,108,97,92,62,104,192,177,181,180,181,180,179,178,177,160,164,168,170,172,175,171,162,173,180,134,98,95,104,106,89,79,52,140,195,183,185,184,183,183,181,179,179,162,165,169,173,175,175,169,174,174,162,119,107,103,100,91,72,62,48,162,192,188,186,184,185,184,183,182,183,165,167,172,176,177,176,171,180,175,152,122,104,107,84,49,25,38,69,188,186,188,189,186,186,186,185,184,184,167,170,174,176,180,177,173,180,171,141,107,111,134,68,21,12,32,120,197,185,188,190,189,188,187,186,184,185,169,172,177,179,182,181,170,177,167,135,105,126,119,51,14,21,87,188,189,188,190,190,191,190,188,188,186,186,170,174,178,181,183,184,169,170,162,127,110,137,103,55,33,19,145,202,188,192,192,191,192,191,190,190,189,187,172,175,179,182,185,185,164,158,152,127,136,144,96,51,42,36,170,198,193,194,193,193,193,193,192,192,191,191,173,176,179,182,184,187,162,154,154,142,147,132,83,49,38,70,201,191,195,195,195,194,194,194,193,193,192,192,174,177,180,183,185,187,155,155,156,145,138,110,70,48,36,128,208,192,195,195,196,196,196,195,194,194,194,193,176,178,182,185,186,187,152,160,149,127,118,87,61,47,61,187,198,196,196,198,199,198,198,197,198,197,197,195,177,180,182,186,189,186,152,161,146,120,99,65,60,44,122,211,196,199,198,199,199,200,198,199,199,199,199,197,179,182,183,186,192,184,156,179,155,120,86,55,52,32,153,208,198,200,200,201,201,200,199,198,199,199,200,198,178,182,185,186,193,175,161,178,142,107,74,55,38,60,197,201,199,200,201,202,202,201,201,200,200,199,200,199,176,179,185,187,195,164,166,163,113,89,71,61,26,110,215,197,200,200,201,201,201,201,201,200,200,201,201,199
10,46,47,49,52,54,68,86,102,124,124,116,136,143,149,154,158,163,167,169,173,176,177,179,180,180,182,183,183,46,47,49,52,55,69,88,104,139,127,89,124,146,151,156,161,165,169,172,176,178,180,181,183,184,184,185,185,46,47,50,52,56,71,90,108,128,132,98,81,136,154,158,163,167,171,175,179,181,182,184,186,186,187,187,187,47,47,50,53,57,74,94,111,122,128,103,78,82,153,162,165,170,174,176,181,183,186,187,188,188,189,190,189,47,48,51,53,58,77,97,113,124,129,109,87,68,113,163,169,172,175,180,183,186,189,190,191,191,191,192,192,47,48,51,52,59,79,99,115,126,131,128,104,84,70,145,170,174,179,183,187,189,191,193,193,193,193,194,194,47,48,51,53,61,81,101,117,127,131,140,128,94,73,87,170,178,182,186,189,191,194,194,195,195,195,196,196,47,49,51,55,67,84,103,119,138,105,126,147,119,98,70,149,181,184,188,191,193,194,195,196,197,198,199,199,47,49,52,92,109,73,90,121,144,92,78,150,144,113,81,104,182,186,189,192,194,195,197,198,199,200,201,200,47,49,51,99,98,56,47,76,110,89,57,113,156,116,86,68,166,186,190,193,195,198,200,200,201,202,202,202,47,49,51,61,74,56,45,45,53,82,71,63,138,120,87,67,117,189,192,195,197,200,202,203,203,203,203,204,47,49,52,53,70,72,52,47,45,84,91,74,69,118,100,93,70,169,193,197,198,201,202,203,203,204,204,205,47,48,52,54,72,93,96,73,56,79,106,88,58,64,76,94,69,113,194,199,201,202,203,204,205,206,207,207,47,48,51,54,74,96,114,126,108,71,108,109,83,52,52,69,64,66,182,199,202,203,204,206,206,207,208,208,46,47,50,55,75,96,115,141,142,84,62,133,115,79,49,45,53,55,160,200,202,204,204,206,207,207,208,209,45,46,48,54,77,102,124,147,151,114,40,115,144,109,76,53,48,50,142,198,201,202,203,205,206,207,208,209,45,45,47,54,77,122,143,140,166,135,63,68,163,129,102,71,48,47,124,199,202,203,204,206,206,208,208,209,43,44,46,54,77,113,153,135,160,143,95,97,164,141,118,83,49,46,110,199,203,204,206,207,208,209,209,210,45,45,45,55,77,98,136,136,136,141,115,127,157,127,116,79,54,51,101,201,203,204,207,207,209,209,210,211,83,80,81,84,90,97,114,139,137,153,129,117,155,118,112,80,58,53,89,193,198,201,203,205,207,208,209,211,77,79,81,83,84,81,89,139,143,152,160,115,141,124,114,87,62,53,67,118,124,128,131,135,139,143,148,152,80,81,82,85,87,88,89,141,166,149,165,124,89,120,112,90,66,56,57,94,102,104,105,103,104,103,103,104,80,82,83,86,88,89,90,115,169,159,151,134,86,105,106,88,67,56,54,90,104,103,104,105,105,106,107,107,80,82,84,86,88,89,91,97,157,166,162,163,152,120,100,82,67,56,55,84,103,103,103,105,105,105,107,107,80,82,84,85,87,89,90,91,125,159,164,161,166,140,99,75,66,59,57,82,102,103,103,104,104,104,106,106,79,80,82,84,86,88,89,91,97,145,164,158,154,147,104,75,73,66,58,81,101,103,103,104,103,104,105,106,78,79,81,84,87,88,90,91,93,112,155,154,142,131,113,93,88,73,56,73,100,102,103,107,103,103,104,104,77,79,80,82,85,87,88,90,91,92,134,142,133,119,118,113,103,84,61,62,96,102,103,103,103,104,104,130
18,86,91,95,101,109,116,122,128,133,134,136,138,143,145,148,152,155,156,158,159,161,162,163,164,165,166,168,170,88,92,96,102,109,117,123,129,133,135,137,141,145,141,142,150,155,153,154,159,162,163,164,165,166,167,169,171,89,93,97,103,110,117,124,130,136,135,135,151,153,130,122,143,161,145,130,144,160,164,165,166,167,169,170,172,89,93,98,105,112,118,124,142,155,133,128,162,156,137,131,155,167,139,111,107,142,164,166,167,169,172,172,173,90,94,98,106,114,121,127,167,173,138,133,166,154,148,151,159,149,132,118,99,111,156,167,169,171,172,174,175,91,94,98,108,131,137,129,167,175,148,140,151,146,142,142,140,128,131,129,113,99,136,166,171,172,173,175,176,92,95,99,120,169,160,131,138,171,157,139,122,131,125,118,110,118,140,139,129,107,110,155,171,173,174,176,177,93,96,100,142,190,176,149,129,155,164,137,108,126,127,99,81,119,149,150,145,123,100,123,164,174,176,178,179,93,96,104,155,180,181,166,132,125,154,136,104,112,136,108,72,100,145,160,159,135,107,98,137,173,177,177,179,93,96,108,155,154,167,158,123,97,121,123,95,85,110,98,78,104,152,171,166,140,114,96,109,164,177,178,179,93,96,114,164,147,145,131,99,77,84,94,78,60,74,87,126,162,171,167,157,136,115,98,105,162,179,180,181,93,96,122,177,162,148,122,86,65,64,77,66,44,69,134,180,183,171,156,138,121,107,96,116,169,180,181,182,93,96,133,184,164,145,122,88,62,59,74,64,58,121,186,197,184,164,144,121,105,96,94,135,176,181,182,183,94,96,142,198,179,157,134,104,79,74,80,82,117,179,202,198,179,154,133,112,96,88,100,156,179,182,183,184,94,97,142,207,194,175,156,131,115,112,112,131,173,200,202,188,166,143,122,104,90,85,117,170,181,183,184,185,95,98,139,209,202,182,161,143,136,135,140,168,195,201,193,174,153,132,114,99,88,89,140,177,182,184,185,186,95,98,135,207,205,185,166,154,150,150,160,182,195,192,176,158,141,122,107,96,87,100,159,180,183,185,186,186,95,98,127,198,206,190,175,165,160,161,169,181,184,178,158,142,128,113,100,92,86,120,171,181,183,185,186,186,95,99,117,183,207,199,188,176,166,161,164,169,167,162,145,129,116,105,96,88,94,148,178,181,182,185,186,187,95,99,111,163,205,206,199,185,167,154,147,150,149,146,135,118,106,98,91,84,115,168,181,182,183,186,187,187,96,100,108,140,194,202,196,185,165,146,136,136,138,139,130,113,101,94,86,87,141,177,181,182,184,186,187,188,96,101,108,123,171,190,181,171,157,140,131,130,131,135,130,114,101,93,82,101,161,179,182,183,185,186,187,188,95,100,109,117,146,179,170,156,144,133,132,132,124,128,128,113,98,90,80,119,171,180,182,184,186,187,188,189,95,100,110,118,132,164,159,148,142,137,142,139,123,122,124,112,97,87,79,128,175,181,183,185,186,187,188,189,94,100,110,118,126,152,159,154,152,144,143,140,122,115,119,111,98,85,75,121,175,181,183,185,186,188,188,189,92,100,109,117,124,145,171,167,160,146,139,137,123,110,111,107,97,87,74,107,169,180,182,184,186,187,188,188,92,99,108,117,124,141,180,180,165,148,136,134,125,108,104,103,96,87,75,92,161,179,182,184,185,186,187,188,92,99,108,117,124,139,182,186,168,148,133,132,126,107,100,102,95,87,76,85,154,179,183,184,185,187,187,188
13,129,133,136,137,140,142,144,146,146,147,149,149,150,149,149,149,149,147,147,146,144,143,141,141,141,137,136,134,131,134,136,139,141,144,145,147,147,150,150,151,152,152,152,152,151,151,150,148,146,146,145,144,143,140,138,136,133,135,139,140,142,145,148,148,151,153,154,153,153,153,152,154,153,153,153,152,150,149,148,147,145,142,142,140,133,137,141,141,142,145,149,151,153,154,154,156,157,157,156,154,154,158,157,153,152,152,150,149,146,146,144,142,134,138,141,142,144,147,151,153,154,155,155,158,160,150,154,162,156,152,157,159,152,153,152,151,150,148,145,143,135,140,142,143,147,150,152,154,156,157,157,160,146,104,71,135,150,98,68,126,163,154,154,152,152,149,147,145,137,141,143,144,148,151,153,155,156,159,157,165,157,117,80,54,105,97,41,38,163,156,156,154,154,152,149,146,139,142,144,145,150,153,155,157,158,161,161,165,178,131,105,35,67,108,66,9,135,165,159,157,156,154,150,148,140,144,145,146,150,154,156,159,160,162,163,161,173,137,92,35,41,96,63,1,117,170,157,158,158,156,153,152,139,144,146,148,151,154,156,161,162,164,168,170,164,135,86,42,19,61,43,0,113,171,158,158,157,155,154,152,140,146,147,149,152,156,159,162,163,157,123,140,138,131,89,56,18,62,51,0,134,171,160,160,159,156,155,153,140,144,147,151,154,159,161,162,166,137,73,52,60,113,136,87,31,70,72,5,132,174,161,161,161,159,156,155,142,146,149,152,154,158,163,163,178,131,81,67,29,92,165,104,33,48,63,0,60,179,161,162,162,161,158,157,142,148,150,152,156,158,160,145,101,120,104,89,42,4,101,62,23,38,34,22,12,133,175,161,162,161,160,157,142,148,151,153,157,154,169,129,57,59,125,94,72,0,0,0,2,44,44,51,35,52,177,165,164,161,161,160,144,149,151,153,154,172,173,106,78,51,93,104,71,40,0,0,18,27,78,77,63,14,138,174,163,163,162,160,144,148,153,155,159,175,127,114,97,78,48,99,79,56,0,0,76,86,92,78,63,11,111,179,163,164,162,160,144,150,154,156,159,181,127,97,95,74,48,67,71,30,0,3,105,126,119,67,48,12,130,178,163,163,161,160,145,150,154,156,163,170,127,74,63,61,32,0,36,21,8,27,125,122,112,77,34,15,160,173,167,164,163,161,146,150,155,156,161,163,150,120,70,31,3,0,20,50,28,86,149,117,102,70,15,41,181,169,170,167,164,162,147,152,155,155,158,163,160,135,98,70,52,47,49,61,73,152,144,107,83,64,4,80,188,170,171,167,166,164,148,154,154,157,161,160,154,142,115,95,67,64,86,133,147,150,126,98,72,53,0,119,185,170,172,168,166,163,149,153,154,158,161,163,150,128,110,87,64,67,80,149,144,130,110,85,63,35,4,155,179,171,171,169,167,163,149,154,155,158,161,166,141,115,111,89,72,75,75,129,137,126,98,71,51,18,24,181,174,173,171,169,167,165,150,155,156,159,161,168,155,123,112,93,85,80,78,123,133,119,90,55,40,0,82,191,173,173,171,170,167,166,149,153,153,157,161,166,171,133,110,106,89,72,66,101,117,101,69,37,14,3,163,180,174,173,172,169,167,167,148,153,155,158,161,164,171,162,122,103,83,72,63,80,100,87,54,34,0,76,192,174,176,173,171,168,168,169,146,151,154,156,160,164,166,170,147,107,84,68,67,73,90,83,53,32,0,138,184,173,173,171,170,168,166,165
14,206,207,207,207,207,208,208,208,208,207,207,208,208,208,207,205,205,204,202,201,200,200,199,198,197,195,193,192,209,210,210,211,211,210,211,212,210,210,211,211,211,211,210,208,208,206,205,205,202,203,202,200,199,198,196,195,211,212,213,213,213,212,213,213,212,212,212,213,213,211,214,215,212,210,210,210,208,206,204,204,203,202,199,198,214,216,214,215,217,217,216,216,216,215,215,217,216,215,205,195,205,209,205,202,203,209,212,204,206,204,203,202,217,218,217,218,219,219,218,218,218,217,219,219,217,210,193,173,180,185,178,184,178,146,183,219,207,206,204,203,219,220,220,220,221,221,221,221,221,219,218,198,193,205,211,207,201,184,141,152,173,143,113,166,216,211,206,205,221,222,222,222,224,224,221,222,223,221,219,218,214,219,219,210,201,189,169,136,148,161,132,125,166,199,210,206,224,224,224,224,224,224,224,223,223,221,222,208,189,179,168,152,128,130,168,173,172,180,131,138,161,132,206,214,225,225,226,226,226,226,226,225,226,226,220,187,183,186,158,127,109,109,106,136,154,136,104,90,121,91,120,213,226,227,227,226,227,228,227,228,225,208,209,221,218,200,178,159,159,187,130,180,199,170,196,150,93,87,81,133,230,230,229,229,229,229,230,231,223,211,215,209,196,165,144,137,135,126,136,224,229,229,224,237,185,81,100,105,231,231,230,231,231,230,231,232,219,212,204,172,139,88,70,73,71,108,218,227,224,223,224,220,127,111,127,122,231,232,232,232,232,232,231,230,219,209,158,107,75,66,71,76,59,169,242,224,228,224,236,165,110,145,137,109,232,234,234,233,235,234,235,229,222,202,141,88,76,79,82,89,74,188,238,228,228,231,212,121,135,142,129,98,235,235,235,235,236,236,237,229,220,197,143,84,81,82,80,82,74,215,235,230,227,240,156,110,134,136,103,146,237,236,237,237,237,237,239,228,221,183,113,82,96,80,77,79,62,190,253,227,237,211,119,115,122,122,96,208,238,238,238,237,238,239,237,224,221,179,126,109,93,79,80,76,62,80,181,238,235,131,123,130,120,88,162,235,240,240,240,240,238,240,234,223,224,193,141,112,87,80,86,85,87,86,80,144,144,102,128,130,104,127,235,224,240,241,241,241,240,241,235,220,223,187,141,117,88,83,92,100,103,109,114,111,98,115,127,115,104,216,234,226,241,242,241,240,241,242,234,214,218,188,160,120,83,85,95,109,110,115,121,132,128,110,133,99,172,243,228,229,241,242,242,241,240,245,235,209,214,197,160,118,93,82,96,114,116,115,122,136,136,121,107,108,230,235,233,231,241,242,243,243,243,246,235,212,221,198,168,137,104,82,98,117,118,121,129,142,141,127,89,170,246,233,233,232,244,243,244,246,245,246,234,215,224,197,164,132,111,85,94,120,120,125,135,143,138,108,123,245,236,236,235,233,246,246,246,246,245,248,233,218,220,187,158,136,116,94,87,121,120,125,138,138,131,87,178,250,235,238,236,234,245,245,246,246,244,249,231,215,217,182,154,140,120,101,85,112,119,124,133,131,112,97,232,241,238,238,236,236,244,244,245,246,244,249,227,209,212,178,154,142,118,102,86,103,120,118,121,122,79,173,253,238,239,238,237,236,245,245,246,246,245,250,228,204,202,177,153,131,112,102,89,97,114,114,114,89,126,244,238,239,238,237,235,234,246,246,247,247,246,250,226,201,195,175,147,128,114,103,92,96,106,109,94,111,235,244,239,239,239,238,237,234
10,92,100,112,118,123,127,131,133,136,138,140,143,144,145,146,149,152,153,154,155,156,159,159,160,160,161,163,164,93,102,113,119,123,128,131,133,138,140,141,144,145,146,147,150,135,151,155,156,158,160,160,160,162,163,164,165,95,104,115,120,124,129,132,134,139,141,142,144,147,149,152,162,114,135,158,157,159,161,162,163,164,165,165,165,97,107,117,122,126,130,133,136,139,141,143,145,148,150,158,167,119,117,159,158,161,162,163,164,165,166,167,167,99,107,117,123,127,130,134,138,140,143,145,147,149,150,158,167,129,107,160,159,163,165,164,165,167,168,168,169,98,109,120,124,127,132,136,138,140,143,145,147,150,153,154,169,141,105,156,161,163,165,166,166,168,169,169,170,100,110,120,124,128,134,137,138,141,144,145,155,135,138,156,176,154,108,146,164,163,165,165,166,169,169,170,171,102,112,121,126,130,135,138,140,143,144,147,161,132,95,153,173,158,115,128,167,164,165,166,168,170,170,171,172,104,115,121,125,131,135,138,142,147,147,155,152,129,79,135,169,154,117,116,168,166,167,167,170,171,171,172,172,105,116,123,127,130,141,137,129,124,125,143,164,140,100,109,171,141,116,106,168,167,168,168,171,172,172,173,173,105,115,123,127,129,147,124,91,77,76,82,145,156,116,82,157,122,112,98,166,167,169,171,172,173,174,174,174,107,118,123,128,131,134,113,87,71,81,84,109,159,131,82,136,102,107,93,161,169,171,172,173,174,175,175,175,108,117,123,126,132,136,136,130,120,97,82,92,158,143,91,105,86,100,87,153,172,171,172,173,175,176,176,176,107,118,123,129,133,138,139,162,171,116,65,109,168,149,101,73,81,97,91,141,174,173,174,173,174,175,176,176,110,119,124,129,135,137,139,166,168,119,60,102,182,150,112,70,79,95,91,122,177,174,174,174,175,176,176,176,110,120,124,130,133,147,162,163,174,127,53,111,192,150,117,76,78,92,90,106,177,175,175,175,177,178,178,178,112,121,125,130,131,158,177,159,168,126,57,150,179,149,112,77,69,86,85,92,177,175,175,176,176,178,179,179,113,122,125,131,133,146,175,152,157,128,122,188,163,149,112,79,71,82,76,107,179,174,175,176,178,178,178,179,113,121,126,130,135,139,151,134,142,147,181,186,160,143,117,84,74,78,70,144,177,175,176,177,178,178,178,179,113,121,125,130,135,138,150,131,145,179,197,182,160,136,114,88,75,72,81,169,174,175,177,178,179,179,180,180,115,123,125,129,135,138,161,163,142,172,196,176,155,133,113,89,75,65,108,178,174,175,177,178,179,179,180,180,116,122,126,130,136,136,173,178,144,152,193,175,155,130,113,91,74,64,140,177,175,175,176,179,180,179,179,180,116,122,127,132,137,137,179,183,160,171,187,173,156,131,114,94,74,75,167,173,174,176,178,180,179,180,180,181,116,121,126,132,137,138,186,192,168,177,185,173,157,133,116,95,69,106,178,174,175,177,179,180,180,180,180,181,116,121,126,132,137,138,184,189,174,176,179,178,167,136,115,94,67,141,176,174,175,176,178,179,180,181,181,182,117,121,126,132,136,138,177,181,167,177,175,179,172,140,113,89,77,166,174,174,176,176,178,179,180,181,182,182,117,121,127,133,137,140,167,170,168,176,176,179,170,138,110,81,106,176,174,175,176,178,180,181,181,181,181,182,117,122,128,133,137,141,157,168,177,183,174,174,166,135,106,76,141,176,173,174,177,179,180,180,181,181,181,183
23,121,121,122,122,123,123,123,123,123,124,124,124,124,124,124,124,124,124,123,124,123,122,122,122,121,121,119,118,123,124,124,125,125,126,126,127,127,127,127,127,126,126,126,126,126,127,126,126,125,124,124,123,123,123,122,120,126,127,128,129,129,129,130,130,130,131,129,129,129,129,127,131,131,129,129,128,128,128,126,126,125,124,124,123,130,129,130,132,131,131,133,133,133,132,138,131,132,135,132,109,125,137,131,131,131,130,128,129,128,127,126,126,133,133,133,134,134,134,135,137,134,138,162,142,133,147,136,111,86,123,139,134,133,132,132,131,130,129,128,128,135,135,135,137,137,136,138,139,135,153,153,129,82,96,89,108,109,95,113,138,135,135,134,133,133,132,131,130,137,138,138,139,139,139,140,140,141,160,146,119,70,121,127,115,94,79,88,142,137,137,138,136,135,135,134,133,139,140,140,140,141,142,142,140,150,149,149,103,113,149,116,139,135,125,137,143,140,139,139,139,138,137,136,136,141,142,142,143,144,144,146,144,151,146,149,153,158,140,81,112,158,146,145,144,144,143,141,141,140,140,139,138,143,145,145,145,146,141,132,136,139,146,148,146,142,134,82,71,132,148,145,145,145,145,144,143,141,140,140,140,146,147,146,148,145,128,109,116,124,126,123,123,118,108,81,38,48,128,153,146,147,145,145,146,145,144,142,141,146,148,147,147,149,143,140,132,136,130,120,116,101,62,56,39,32,111,158,148,149,148,147,147,147,146,145,144,148,149,150,147,146,151,149,142,125,90,87,92,90,52,53,38,43,141,154,150,151,151,149,150,148,147,146,145,150,151,152,150,138,140,154,141,89,68,35,73,100,52,54,38,72,161,152,153,153,152,151,151,150,149,148,146,151,152,154,153,138,135,158,138,78,41,27,94,104,57,51,26,87,165,153,155,154,153,153,152,152,151,149,148,152,153,155,154,139,133,160,143,97,46,46,84,63,50,40,29,73,163,155,156,155,155,155,154,154,152,151,151,155,155,156,156,136,135,166,147,97,63,29,25,22,29,35,41,68,161,157,156,156,156,156,155,154,154,153,152,156,155,157,155,131,145,169,146,100,74,38,20,32,37,44,45,84,166,157,157,158,157,157,155,155,155,155,154,156,158,159,155,133,147,162,147,106,78,60,44,56,56,56,48,94,169,158,159,158,158,157,156,157,156,156,156,158,161,160,160,136,140,150,135,98,79,70,51,61,61,60,48,112,171,159,161,160,159,159,158,158,157,156,156,160,161,162,162,139,133,137,123,103,99,76,54,61,61,60,53,145,169,161,161,162,162,161,161,159,158,157,156,161,161,163,164,144,137,136,122,108,99,73,58,61,66,53,82,170,164,164,162,163,163,162,161,161,160,158,157,161,162,163,165,148,147,135,121,101,84,67,61,63,64,59,147,171,164,165,164,164,163,162,161,162,160,160,159,162,162,164,162,152,157,140,125,110,85,64,59,60,60,138,174,166,166,166,166,166,164,163,162,162,161,161,160,162,162,166,161,153,157,138,128,114,79,58,58,49,118,179,167,169,167,167,167,166,166,165,164,163,162,162,161,163,164,168,162,152,141,129,118,99,62,52,54,61,163,170,169,169,168,168,168,167,167,166,165,165,163,162,161,164,165,167,160,152,130,119,116,108,60,56,52,88,175,169,171,169,168,169,169,168,168,167,167,166,165,163,163,164,165,166,158,160,133,117,128,129,65,60,52,100,181,169,171,170,170,170,169,168,168,168,167,166,167,164,157
7,198,201,202,203,204,206,207,208,209,210,210,210,209,209,209,209,210,211,210,210,210,208,207,207,206,202,201,200,200,201,203,205,207,209,209,211,210,211,211,212,211,212,212,213,212,213,212,212,212,211,210,208,207,206,204,203,200,203,205,207,208,210,212,213,213,213,213,214,214,215,215,215,215,214,213,214,214,213,212,210,209,208,207,205,202,206,208,209,210,212,213,214,215,214,215,216,216,217,216,216,216,216,216,215,216,214,213,212,211,211,209,208,205,208,210,212,213,214,214,216,216,216,217,217,216,219,218,217,218,218,217,217,217,216,215,214,213,213,212,209,206,209,211,213,214,216,217,218,218,219,219,218,218,220,220,220,220,219,219,219,218,218,217,215,215,215,214,211,208,211,213,215,215,217,219,220,221,220,221,221,221,221,222,222,222,221,221,222,221,220,219,218,218,216,217,215,209,211,214,215,217,219,220,220,221,224,222,222,224,223,222,223,223,223,223,223,223,221,222,217,215,217,216,215,210,212,214,216,217,219,220,224,230,233,208,186,202,215,217,215,217,222,219,220,215,219,211,223,231,214,217,214,213,214,215,217,221,228,231,232,234,234,225,183,166,192,203,202,204,198,196,203,201,209,198,219,208,206,222,216,212,216,226,232,234,234,230,228,221,217,213,179,157,172,189,198,198,194,192,189,185,192,181,177,173,209,218,218,228,236,235,234,231,225,219,209,203,211,220,192,157,149,154,167,182,194,187,185,193,192,186,197,195,196,213,204,245,238,230,225,218,213,209,206,210,217,223,197,161,159,159,152,150,142,154,164,165,171,166,169,177,177,177,199,241,234,225,214,204,200,198,201,206,216,205,177,155,153,167,175,167,143,164,222,213,208,204,204,202,203,211,227,235,231,225,212,203,200,201,197,194,206,211,184,146,134,153,164,165,162,146,229,237,234,235,234,233,231,230,226,230,228,225,217,211,206,206,205,202,208,220,194,161,160,165,154,154,135,173,240,231,232,232,230,229,229,228,227,224,221,218,217,216,210,207,203,204,208,212,193,169,174,176,166,162,145,229,237,234,235,233,232,232,230,230,229,209,207,210,215,216,214,207,201,200,199,184,172,158,151,159,164,140,195,246,232,234,235,234,234,233,233,232,232,121,131,160,196,215,209,197,187,178,166,159,149,113,95,115,145,143,229,238,235,235,235,234,232,230,230,236,206,64,62,70,94,140,173,161,168,175,192,216,230,149,108,133,150,203,242,236,237,236,234,232,235,238,243,200,132,65,60,57,53,54,67,185,233,237,242,240,245,226,184,209,229,242,238,239,237,235,235,243,227,189,169,129,109,58,54,51,54,37,92,250,235,236,236,237,237,239,244,242,239,237,240,239,237,240,239,203,146,125,116,106,94,52,49,47,48,32,96,248,233,236,237,238,238,237,236,237,238,240,240,239,241,237,163,104,102,118,107,100,94,49,51,49,49,24,88,252,236,240,239,240,242,242,241,241,242,242,241,243,245,188,122,94,76,95,95,89,92,57,60,55,46,15,79,234,222,228,230,231,233,234,234,235,237,238,239,237,161,108,129,93,67,74,89,82,84,67,62,48,27,22,54,146,142,145,147,149,153,156,157,159,162,160,165,164,112,88,123,90,61,64,75,76,77,75,55,32,25,25,71,138,128,128,130,129,130,130,130,131,129,128,146,144,102,81,115,86,58,62,68,70,72,67,38,27,33,27,97,149,139,141,142,141,140,140,139,139,137,142,130,114,98,79,106,79,60,58,64,66,68
24,129,136,143,148,152,155,158,161,162,163,165,166,166,165,167,166,165,164,164,163,162,162,160,160,159,159,155,153,131,137,145,150,151,156,159,161,163,165,168,168,168,168,169,167,166,166,167,166,164,163,161,162,161,160,157,155,133,140,145,148,158,158,161,163,164,167,168,169,169,168,170,169,167,168,169,167,166,165,163,163,161,158,158,157,135,138,160,177,135,162,163,165,166,169,170,170,170,170,171,171,169,169,169,167,167,167,165,165,163,160,160,158,138,135,185,204,100,166,165,167,167,170,172,173,173,172,174,174,172,170,169,168,168,168,167,166,163,161,161,160,139,137,189,196,92,164,167,168,171,172,175,176,177,177,175,175,173,173,172,170,169,170,168,167,166,164,162,161,142,138,188,204,89,154,172,170,173,175,175,177,179,178,177,176,176,175,173,172,172,170,170,168,166,166,164,162,143,141,181,214,103,149,174,170,174,177,177,178,179,179,178,179,179,178,176,175,174,173,171,170,169,168,167,165,145,145,175,218,108,136,179,173,177,177,180,181,179,180,184,180,180,179,177,176,175,175,173,172,171,170,168,165,145,147,170,227,134,112,177,176,177,188,182,175,198,192,166,184,180,180,180,178,177,175,173,172,172,171,170,168,146,152,167,239,170,112,218,191,157,230,185,120,214,212,121,147,193,183,183,181,180,180,179,179,174,171,171,169,147,154,164,225,179,153,255,189,166,236,190,123,206,195,138,97,182,188,185,184,180,171,164,157,176,172,171,169,149,158,160,220,205,197,255,190,166,245,180,138,227,178,124,73,149,196,183,185,154,124,100,73,149,181,173,172,152,161,160,226,234,216,255,200,145,248,166,144,226,171,96,55,137,192,184,177,126,86,91,122,166,180,176,174,152,159,171,223,225,210,250,207,133,228,169,148,213,157,63,26,129,196,182,148,97,120,181,188,182,178,177,176,154,156,184,218,185,191,224,203,126,214,176,148,208,127,41,79,150,187,136,100,110,192,189,184,183,180,179,177,157,157,195,248,166,157,202,189,118,219,166,151,202,111,153,187,170,139,89,95,181,193,188,188,187,186,182,180,158,155,202,255,188,142,190,182,135,229,138,134,207,194,210,177,142,119,81,173,200,191,191,189,189,187,184,180,157,154,206,255,205,131,180,195,175,219,119,171,239,204,181,167,122,93,147,204,191,191,190,190,189,187,184,180,158,156,205,255,207,148,169,185,169,193,206,244,223,193,175,147,98,111,202,196,195,193,192,190,188,186,185,181,158,157,205,255,217,183,161,194,244,255,255,225,204,189,164,116,87,173,203,197,197,196,195,193,190,188,187,183,158,159,191,255,232,193,178,209,255,255,250,217,188,163,140,91,146,207,198,199,197,198,195,194,192,188,188,186,156,163,175,255,236,197,189,218,255,255,231,209,170,137,103,123,206,200,200,198,198,197,192,192,192,189,188,187,159,168,179,244,220,197,191,219,249,232,206,181,151,116,108,199,211,208,209,207,205,203,200,199,197,200,195,184,124,123,132,229,210,207,202,213,232,219,182,148,128,98,109,134,126,126,125,124,123,124,124,124,124,109,115,154,92,89,82,214,222,216,212,218,226,205,158,127,112,91,83,78,77,76,75,73,72,73,74,63,56,105,172,188,101,103,86,213,246,220,222,219,213,189,143,117,99,91,93,93,92,90,89,87,85,87,84,104,179,217,193,161,101,102,82,203,255,227,235,211,195,182,147,105,89,91,90,92,92,89,89,88,88,80,127,218,218,177,175,143
0,179,179,179,179,178,178,178,178,177,176,175,176,175,173,172,172,171,170,168,167,167,165,164,163,162,161,159,158,179,181,180,180,180,179,179,179,178,176,176,177,176,175,174,173,172,172,171,170,168,166,164,163,162,161,160,160,180,181,180,181,181,181,181,180,179,178,177,177,176,176,176,174,172,171,171,169,169,168,165,164,163,162,161,160,182,182,182,182,182,183,182,182,180,179,179,179,182,181,176,178,178,174,169,169,168,169,168,166,165,163,161,160,181,184,184,185,183,183,181,181,184,184,179,166,134,146,182,160,144,162,178,173,174,172,167,169,167,165,163,161,184,185,185,185,184,182,182,174,151,162,177,144,111,80,128,130,98,78,151,145,129,156,173,162,165,165,164,163,185,185,184,185,184,183,182,163,130,106,139,158,115,79,90,142,107,71,70,114,80,63,145,131,129,172,163,163,186,186,185,185,184,185,184,180,154,124,93,155,124,88,90,147,116,77,76,130,102,50,75,129,96,174,164,163,187,187,187,186,184,189,180,171,160,135,80,138,131,92,89,147,118,78,65,126,104,58,47,118,89,165,167,165,188,187,187,187,185,191,176,135,161,116,68,140,127,85,82,137,108,69,47,103,84,49,43,118,75,130,176,165,189,188,188,187,187,186,149,107,156,96,65,132,103,62,74,123,94,57,52,118,95,38,47,125,101,78,164,169,188,188,188,189,190,187,163,132,153,108,81,124,103,59,72,126,94,45,94,142,104,29,53,124,116,66,113,179,189,190,189,189,192,182,158,132,136,118,85,130,124,62,90,143,108,50,123,150,74,23,101,134,115,57,99,180,190,192,192,190,187,157,126,108,93,77,71,142,121,57,100,150,113,53,24,59,17,63,139,137,98,44,144,172,192,191,192,192,187,161,130,101,73,61,57,90,96,53,48,97,76,48,55,20,45,131,139,123,62,86,179,167,192,191,193,189,180,159,134,102,78,77,79,71,80,77,60,65,102,135,142,124,108,134,123,93,45,152,175,168,193,193,193,188,179,163,138,108,81,73,81,88,106,120,126,144,155,145,132,133,103,107,111,53,78,183,169,171,193,194,194,192,183,164,141,118,91,81,83,98,131,145,157,159,152,138,127,121,92,83,89,31,139,181,171,171,194,194,194,191,185,164,146,125,102,101,87,126,162,161,162,158,148,132,123,116,82,68,44,69,184,175,174,171,194,195,194,191,188,170,152,134,119,116,120,158,168,164,164,156,142,127,116,100,70,39,45,163,179,175,176,173,194,195,194,192,189,172,156,142,130,123,153,163,167,169,163,145,135,119,102,83,43,34,158,183,175,176,175,174,194,195,195,189,186,177,162,147,132,129,162,163,169,168,154,133,120,108,89,56,25,148,186,175,178,178,176,174,194,196,195,188,184,179,166,152,133,127,160,165,161,155,137,119,104,92,64,24,135,190,176,179,178,179,176,176,195,197,197,191,184,182,170,161,144,130,155,162,149,139,123,104,87,60,22,124,194,179,181,180,178,179,177,175,195,195,198,194,188,177,170,162,152,138,152,151,138,122,111,90,58,21,121,194,181,184,181,181,179,178,177,177,195,195,198,192,184,174,181,176,162,146,147,142,121,109,97,62,21,127,197,183,184,185,182,181,180,178,177,177,195,196,197,190,187,174,183,177,156,142,137,132,109,89,73,31,130,200,185,187,187,185,184,183,180,180,178,177,197,197,194,187,180,164,178,164,149,141,131,115,97,79,40,87,202,186,188,186,187,185,184,182,180,180,180,178
23,59,70,86,94,99,103,109,111,113,116,118,121,122,125,125,127,130,130,132,132,133,136,137,138,139,141,141,141,60,71,88,95,100,105,109,113,115,117,118,123,124,126,127,128,129,131,132,132,136,136,138,138,139,140,141,141,61,75,91,95,101,105,110,113,116,118,121,123,125,128,129,131,130,132,133,133,137,138,140,140,141,141,142,143,64,77,92,96,103,106,109,113,117,121,123,124,125,130,131,132,134,135,135,136,138,138,140,139,142,144,144,143,64,79,93,98,105,109,112,116,119,121,124,125,126,129,131,132,134,137,136,136,137,140,142,145,144,145,146,146,66,80,95,100,106,109,113,116,119,121,124,126,129,131,132,133,136,135,138,142,128,129,133,91,132,149,146,147,69,83,96,100,107,110,114,118,122,124,126,128,130,132,133,134,134,145,154,139,112,99,75,60,142,148,147,148,72,87,97,102,107,110,115,119,122,125,128,129,131,133,133,140,151,145,140,95,58,87,93,137,152,148,149,152,72,89,99,104,109,112,116,119,122,125,127,130,132,134,130,166,150,110,80,60,117,130,155,151,150,151,152,154,73,90,99,104,107,112,116,120,123,124,128,132,133,134,133,172,151,77,69,154,146,65,132,153,149,152,153,153,75,90,97,104,108,113,117,120,124,126,130,132,133,134,140,176,153,130,173,165,120,81,104,164,152,154,155,154,76,91,99,105,111,114,119,122,124,126,129,132,134,134,147,173,158,175,160,132,120,131,96,114,124,158,154,155,77,93,99,105,110,115,120,123,125,127,129,132,136,135,148,161,155,157,145,152,153,138,87,43,63,143,161,156,79,94,100,104,111,116,119,123,126,128,129,134,135,138,149,146,141,152,158,147,135,116,69,26,29,91,167,157,81,95,101,106,112,116,120,124,126,128,134,134,142,158,150,136,138,144,136,131,133,108,56,23,30,40,91,159,83,96,101,106,112,117,121,124,127,130,133,129,164,177,144,139,139,139,135,128,109,87,53,27,22,51,45,115,84,96,101,106,112,117,122,125,127,129,132,131,150,182,156,156,136,103,83,68,71,94,52,24,17,49,51,132,85,97,102,108,112,117,123,126,128,129,132,134,144,176,159,143,120,103,59,5,72,100,51,26,37,53,78,166,87,98,103,109,113,119,124,127,130,130,133,136,148,169,144,132,144,92,41,25,90,74,24,24,58,52,122,170,88,98,102,107,114,120,124,129,131,131,135,136,146,173,142,149,146,79,15,22,30,5,16,39,61,71,163,164,90,98,103,109,114,119,124,127,130,132,135,136,147,167,145,155,135,93,37,0,0,16,46,58,49,111,170,161,91,99,104,110,114,121,124,126,130,132,134,136,149,163,146,160,136,93,54,0,21,49,64,67,62,153,163,163,92,99,104,110,115,122,125,128,131,132,137,136,152,162,151,158,136,94,65,17,35,62,70,58,99,172,160,165,92,98,104,112,116,120,125,129,131,134,138,137,155,161,155,155,131,96,64,20,43,67,69,50,128,171,163,166,93,98,104,112,117,121,125,129,132,133,138,138,157,164,149,144,126,95,65,36,41,67,63,58,156,166,164,166,93,98,105,113,115,120,126,130,131,135,139,139,155,161,142,136,120,94,67,49,42,64,49,93,172,160,163,164,93,98,106,112,116,120,126,130,132,135,138,139,156,160,143,137,117,97,75,54,46,55,53,150,167,163,165,165,92,98,105,111,117,121,126,131,133,134,139,139,164,158,146,138,118,100,80,56,50,46,109,171,162,166,166,167
7,149,161,170,176,180,182,184,185,189,191,192,193,194,196,196,196,196,196,195,194,193,191,190,189,187,186,184,182,150,162,170,176,181,185,185,187,190,193,194,195,196,197,197,197,197,197,197,195,194,193,191,189,189,188,186,184,151,164,172,177,182,185,187,189,192,195,195,197,198,199,200,200,199,198,198,198,195,195,193,192,191,189,189,187,153,164,173,178,183,186,188,191,194,195,195,198,201,201,201,201,201,200,201,200,198,196,196,195,193,192,191,188,154,164,173,180,184,188,189,192,195,196,198,200,201,202,202,202,203,202,202,201,200,198,197,196,195,193,193,190,155,165,175,181,185,189,189,193,196,197,200,201,201,203,203,203,203,203,202,202,201,200,199,198,197,195,193,191,156,166,175,181,187,190,190,193,197,198,200,202,203,205,206,209,210,210,208,207,206,206,202,201,201,197,195,193,156,166,175,182,188,191,192,197,201,204,205,204,202,201,197,189,181,178,177,179,166,154,169,172,184,199,195,195,157,167,176,182,188,192,191,178,171,165,164,164,156,143,136,143,116,119,128,127,123,122,169,164,148,203,197,196,158,168,177,182,188,190,173,141,126,136,137,142,141,133,126,116,112,112,116,108,117,114,124,117,151,199,201,198,160,168,177,182,186,180,162,129,109,116,118,121,124,127,129,129,131,114,114,125,119,114,108,101,119,139,169,201,159,169,177,177,173,163,155,138,123,118,125,135,140,143,142,138,132,104,105,127,116,107,107,97,112,128,123,198,164,175,173,170,162,161,158,145,138,139,144,151,142,139,135,130,110,95,95,97,90,86,86,83,89,101,146,203,182,176,172,170,169,167,152,124,104,113,126,128,115,107,103,97,93,108,124,141,151,161,166,171,175,183,201,202,183,178,178,175,165,147,142,104,89,104,101,83,105,153,166,184,195,207,215,220,219,218,216,215,212,209,204,202,181,180,177,162,144,141,130,101,89,79,68,61,78,116,117,167,225,215,212,211,210,210,209,207,206,205,204,202,183,181,165,148,137,130,133,132,108,78,74,80,75,66,57,61,200,218,214,214,213,212,211,210,209,206,205,203,179,165,144,137,134,133,142,148,117,80,78,82,82,80,75,75,203,219,214,214,214,213,212,211,211,209,207,204,157,142,131,130,127,121,126,121,91,73,67,66,73,73,70,64,192,221,213,215,215,214,212,211,210,209,207,204,141,134,129,129,123,109,107,97,82,65,56,69,78,79,67,72,191,222,214,216,215,214,212,211,210,209,206,204,136,128,123,116,107,94,91,99,95,75,78,88,85,68,85,199,221,216,217,216,215,214,212,211,211,209,207,205,123,112,108,104,102,101,109,117,103,82,72,71,79,101,190,223,215,216,216,216,215,213,211,210,210,209,207,205,119,115,113,108,104,104,108,103,80,75,125,162,190,213,217,212,215,214,214,213,212,211,210,209,208,207,205,203,112,113,110,103,94,90,85,85,111,178,214,217,215,212,212,214,215,214,213,213,212,212,210,209,209,206,204,202,81,83,96,95,96,105,136,178,206,210,205,207,210,212,213,215,215,215,214,213,212,211,210,210,208,206,205,201,36,40,168,169,180,192,201,202,201,204,206,210,210,211,212,212,212,212,212,212,212,210,209,208,205,203,202,200,13,56,182,181,190,191,192,197,201,205,207,210,212,214,214,215,214,214,215,214,215,214,212,211,208,207,207,204,6,89,199,182,185,186,187,188,189,189,187,187,189,189,189,185,183,183,181,177,174,171,169,165,162,157,151,121
5,133,134,134,135,137,138,138,138,140,139,140,140,138,140,144,140,141,140,138,138,137,136,134,133,134,131,130,129,136,137,137,139,141,142,142,142,143,143,144,144,145,142,126,143,143,142,142,142,141,139,137,136,136,134,135,133,142,142,142,143,145,145,146,145,147,149,149,152,148,158,85,125,152,146,147,145,143,142,142,141,140,139,137,134,144,145,146,148,148,149,149,150,152,152,150,120,139,174,90,101,161,149,150,149,148,148,147,145,144,143,141,139,148,150,151,151,153,154,153,155,156,153,163,104,102,182,90,83,168,152,154,152,151,150,149,149,148,146,144,142,152,152,155,154,156,159,159,158,160,156,174,121,87,181,85,82,171,156,157,156,155,153,152,152,151,150,148,146,156,154,157,159,160,160,156,160,163,159,180,127,75,179,98,90,174,159,161,161,159,157,156,155,155,153,151,149,158,159,161,163,162,167,127,125,173,160,182,135,75,175,91,97,177,162,165,165,169,162,159,159,158,156,154,153,162,164,164,165,164,174,136,88,173,162,184,139,66,168,78,104,179,165,166,157,130,159,164,161,159,159,158,157,164,166,167,167,166,179,156,67,170,168,181,134,51,169,101,106,180,165,172,162,104,116,177,165,163,163,162,160,166,168,168,169,171,176,157,65,168,172,174,151,56,147,116,106,181,161,152,138,161,120,143,169,167,165,164,162,168,170,170,172,174,175,180,77,147,179,169,164,58,110,122,115,176,169,124,48,142,136,96,170,170,167,165,165,171,172,173,175,175,177,185,113,113,183,171,168,61,97,122,116,168,167,115,107,162,103,123,180,171,170,168,166,173,174,175,175,177,176,171,176,130,142,165,151,94,112,108,94,140,141,108,171,156,79,168,175,172,171,169,168,174,177,177,178,178,181,163,183,166,126,128,126,103,106,99,95,143,134,121,180,124,73,184,174,176,174,172,172,177,179,180,180,180,183,177,178,192,149,119,116,90,96,96,97,138,131,140,189,91,78,192,177,177,176,175,174,178,180,181,182,183,183,184,181,208,172,105,100,80,78,92,102,135,123,143,194,88,103,195,177,178,178,176,175,179,180,182,182,182,183,184,185,210,180,109,73,76,73,88,121,142,111,135,192,96,118,195,178,180,181,179,176,181,181,183,184,185,185,184,185,207,177,118,73,75,73,111,131,156,159,128,177,100,123,195,180,182,182,180,177,182,183,184,185,188,188,187,183,203,172,122,77,67,87,125,145,172,177,138,137,76,120,198,182,182,182,180,180,182,183,185,187,188,188,190,181,201,176,130,78,68,98,142,166,169,169,141,90,41,108,201,184,185,183,182,181,184,186,187,189,189,190,192,183,197,177,131,83,71,96,155,179,176,155,113,60,26,147,196,186,188,186,183,182,185,188,188,189,190,192,193,184,185,176,128,86,78,93,168,184,162,132,93,33,94,201,188,190,189,187,184,183,187,188,189,189,190,192,194,180,171,174,128,98,87,92,163,165,143,115,66,49,186,197,189,190,190,188,185,184,186,187,188,190,190,192,197,182,165,164,120,112,86,93,146,150,134,96,29,127,206,192,193,191,190,189,187,184,185,186,187,189,190,190,193,185,161,154,122,113,80,89,133,136,111,44,67,200,194,194,192,192,191,189,188,186,184,186,188,190,189,191,195,182,168,158,124,110,86,73,114,98,58,43,175,198,192,193,191,191,190,189,188,186,186,188,189,190,190,191,196,178,173,148,104,99,86,65,90,61,30,144,206,192,196,193,192,193,190,189,187,185
24,103,113,123,130,137,140,140,145,151,154,156,159,161,162,165,167,168,169,171,172,172,173,172,172,172,171,171,170,103,115,124,132,138,141,142,146,152,156,158,161,163,164,167,168,169,171,173,173,173,174,174,174,174,173,173,173,104,115,125,133,139,142,143,149,153,156,159,162,165,167,169,170,171,172,173,174,175,176,175,174,174,174,175,174,105,116,126,135,140,141,147,151,155,157,161,164,166,169,170,172,173,174,175,176,176,177,177,176,176,176,176,175,106,118,127,137,140,166,140,148,157,159,162,164,168,170,172,173,174,175,177,178,178,179,178,178,178,178,177,178,106,118,128,136,145,179,120,128,163,160,163,166,169,171,173,174,177,177,178,179,180,180,179,179,179,179,180,179,107,119,129,137,144,161,116,108,161,162,165,169,170,174,175,177,178,182,181,181,182,180,181,180,180,180,180,180,107,120,130,139,141,162,126,94,151,167,166,172,172,172,174,184,185,159,173,185,182,183,183,182,182,181,181,181,108,121,131,140,144,153,143,103,124,169,166,158,178,176,134,170,197,151,117,178,186,184,183,184,184,183,183,183,110,122,132,141,147,149,165,120,98,159,183,144,178,190,122,149,189,148,101,129,192,185,185,185,185,185,184,183,110,123,133,142,148,148,160,139,115,160,207,162,192,197,132,177,177,118,97,102,180,188,186,185,185,186,186,186,111,123,133,143,149,151,156,173,137,162,219,166,185,194,127,185,168,101,88,94,152,196,186,188,188,188,184,177,112,124,134,143,149,152,154,169,157,180,212,160,169,194,129,190,174,99,89,99,121,198,188,190,189,184,175,160,113,125,135,144,151,153,153,168,207,185,196,170,155,185,131,201,176,88,86,100,92,179,197,187,187,188,164,128,114,126,136,145,151,155,154,175,196,164,171,160,126,168,135,210,150,74,93,107,98,130,186,180,191,173,128,103,115,127,138,146,152,155,156,173,211,181,163,151,118,156,136,112,80,91,102,120,140,149,167,172,162,121,103,166,115,128,138,147,152,155,157,170,214,194,163,148,154,157,173,112,117,165,161,168,166,160,154,145,112,116,184,198,115,128,139,148,154,156,158,168,209,199,178,155,150,157,182,184,205,199,188,177,162,143,130,108,113,192,198,193,116,129,140,148,154,155,159,167,207,200,175,156,165,195,210,214,201,189,178,166,145,125,101,105,188,201,195,196,117,130,141,148,154,155,160,165,202,202,181,169,174,198,213,212,199,181,168,147,125,95,110,185,203,196,198,196,118,130,140,149,155,156,161,163,192,205,188,178,170,195,212,207,193,172,152,130,94,130,198,202,198,200,198,198,118,131,140,150,156,157,162,166,183,204,189,169,159,190,196,187,179,160,138,96,136,207,202,199,200,200,199,198,117,130,140,150,156,156,161,166,179,197,173,154,158,190,183,167,154,135,96,132,207,201,200,201,201,201,200,198,117,130,140,149,154,155,159,165,175,192,172,166,170,190,177,152,134,99,102,199,202,200,200,200,200,199,200,199,117,130,140,149,155,155,160,167,175,208,192,182,177,186,170,139,124,89,154,205,198,200,201,201,201,201,201,200,117,129,141,149,155,155,161,168,174,214,205,187,171,182,157,131,115,95,179,203,200,201,202,202,201,201,201,201,117,130,140,149,155,156,161,167,172,199,191,175,170,182,153,140,101,98,189,203,201,202,201,201,201,201,202,202,115,128,140,149,154,156,161,165,175,195,178,159,166,174,150,133,87,100,196,202,201,202,202,202,202,202,202,202
14,162,163,164,164,163,164,164,164,165,163,163,164,164,164,164,162,162,160,159,159,158,157,156,155,155,153,152,150,165,166,166,167,166,166,166,167,166,166,166,167,167,166,166,164,164,162,162,161,159,160,159,157,157,156,154,153,167,167,168,169,168,167,169,169,167,167,168,168,168,167,169,170,167,166,166,166,164,162,160,161,160,159,157,156,169,171,169,170,172,171,171,171,171,170,170,171,171,170,161,153,162,165,162,159,160,165,168,160,162,161,160,159,172,173,172,173,173,173,173,173,173,172,173,174,172,166,152,134,141,144,139,144,139,112,143,174,163,162,161,160,173,174,174,174,175,175,175,175,175,174,172,156,151,162,166,163,158,144,108,117,135,110,84,129,171,167,163,161,175,176,176,176,177,177,175,176,177,175,174,173,169,174,173,166,158,148,132,104,114,125,101,95,129,157,166,163,177,177,178,177,178,178,177,177,177,175,176,164,148,140,130,117,96,99,130,134,134,140,100,105,124,100,163,169,178,178,179,179,179,179,179,178,179,179,174,147,143,146,122,96,81,81,78,103,119,104,77,65,91,66,90,168,180,180,180,180,180,181,180,181,178,164,165,175,172,158,139,123,123,147,99,140,157,132,154,115,67,62,58,101,183,183,182,182,182,181,182,183,177,166,170,165,154,128,110,105,103,95,104,178,182,182,178,188,145,58,73,78,184,184,183,183,183,183,184,185,173,167,161,134,106,63,48,51,49,80,173,180,177,177,178,174,96,83,96,92,184,184,184,184,185,184,184,182,174,165,122,80,52,45,49,53,39,131,193,177,181,178,188,128,82,111,105,81,184,186,186,185,187,186,187,182,176,159,108,63,54,56,58,64,51,147,189,181,181,184,168,91,103,109,97,72,187,187,187,187,188,187,188,182,174,155,110,60,58,58,56,58,51,170,187,183,181,191,121,82,102,103,76,112,189,188,188,189,189,189,190,181,175,143,84,58,70,57,54,56,41,149,202,180,189,167,89,86,91,92,70,164,190,189,189,189,189,190,188,178,175,140,95,81,68,56,56,53,41,57,141,189,187,99,93,99,90,64,125,187,191,191,191,191,189,191,186,177,178,152,108,83,63,57,61,60,62,62,56,110,110,75,97,98,77,96,187,178,191,192,192,192,191,192,186,174,177,147,108,88,63,59,67,73,76,81,85,82,72,86,96,86,77,171,186,180,192,193,192,191,192,193,186,170,173,147,124,90,59,61,69,81,82,86,91,101,97,82,101,73,134,194,181,182,192,193,193,192,191,195,187,165,170,155,124,89,68,58,70,85,86,86,92,103,103,91,79,80,183,187,185,183,192,192,193,194,194,196,187,168,175,156,131,104,77,58,72,87,89,91,97,109,108,96,64,132,196,185,185,185,194,193,194,196,195,196,186,170,178,154,128,100,83,61,68,90,90,94,103,110,105,80,93,195,188,188,187,185,196,196,196,196,196,198,185,172,174,147,122,104,87,68,63,91,90,94,105,105,99,63,139,199,187,189,187,186,195,195,196,196,194,199,184,170,172,142,118,107,90,74,61,83,89,93,101,99,83,71,184,192,189,189,188,187,195,195,195,196,195,199,180,165,168,139,119,109,88,75,62,76,90,89,91,92,56,135,202,189,191,189,188,187,195,195,196,196,195,199,181,160,159,138,118,99,84,75,64,71,85,85,85,64,95,194,190,190,190,189,187,186,196,196,197,197,196,200,179,158,153,136,113,97,85,76,66,70,79,81,68,83,187,195,190,190,190,190,188,186
4,133,138,142,146,149,152,156,157,159,163,164,166,166,168,169,170,170,169,168,169,168,168,167,166,166,166,165,164,135,140,143,148,150,153,157,159,161,165,166,168,168,171,171,171,172,176,173,170,171,171,169,168,167,167,167,166,136,142,146,149,152,156,158,160,163,166,167,167,167,171,175,181,154,129,162,176,174,172,171,170,170,169,169,167,137,142,147,151,153,156,159,162,167,171,168,177,161,125,163,209,162,100,96,189,175,174,173,172,172,171,170,168,138,143,148,152,157,159,161,165,166,162,180,219,177,125,111,210,164,112,77,159,157,175,176,173,172,172,172,170,141,144,150,154,157,159,161,163,176,175,162,204,192,141,92,193,171,108,40,89,119,106,177,177,174,173,173,172,142,147,151,155,160,162,162,172,211,208,144,125,205,160,90,174,175,103,30,92,132,72,106,187,174,176,174,174,141,147,151,154,160,165,161,186,206,195,130,100,192,142,74,137,149,82,31,101,133,81,57,183,178,177,175,175,142,147,152,158,159,163,163,185,186,185,128,88,168,126,67,93,122,74,46,138,141,78,55,183,179,176,175,176,144,149,153,158,161,165,163,186,179,161,139,98,147,120,70,49,100,47,81,177,126,57,63,188,180,176,176,178,144,150,155,159,163,168,165,187,201,163,146,119,117,161,105,75,97,57,85,135,95,33,66,192,180,182,179,178,145,151,156,160,163,167,165,192,214,183,137,72,81,159,126,152,123,129,135,151,137,66,72,195,180,183,180,179,147,152,157,161,163,168,166,202,208,162,122,82,59,61,82,151,125,155,172,183,163,82,85,196,181,184,182,181,147,152,157,161,165,168,167,209,191,136,102,76,58,52,50,96,129,142,155,160,137,86,67,184,185,185,182,181,147,153,158,162,166,169,171,215,196,153,117,78,62,64,79,83,95,111,114,122,127,105,49,154,193,182,182,182,148,154,158,163,165,169,177,216,192,149,104,80,70,64,79,110,94,130,144,142,145,118,59,105,200,182,185,183,149,155,160,165,167,169,181,215,189,143,101,77,75,65,87,117,124,185,182,188,177,131,79,51,183,189,187,185,151,157,160,165,171,169,183,213,186,143,111,91,82,78,89,110,166,197,201,193,192,145,90,37,147,198,186,187,150,157,160,163,169,169,184,205,180,148,117,104,91,86,85,147,203,200,203,172,167,128,85,39,153,197,186,187,149,155,160,162,167,169,181,201,177,153,120,96,82,91,114,197,211,205,184,159,132,103,57,72,191,187,186,187,148,154,160,161,168,170,177,203,189,145,105,97,90,108,151,215,208,192,159,135,103,73,36,146,197,185,186,186,150,155,160,164,168,173,174,200,191,156,136,133,101,115,175,211,196,173,142,113,86,42,81,198,187,189,187,187,151,156,160,165,169,173,173,196,194,166,139,141,106,101,192,197,178,149,122,93,64,34,161,197,189,189,187,187,151,156,160,164,168,175,169,197,201,171,147,140,104,108,187,179,151,125,94,72,33,89,203,189,190,190,188,188,151,157,162,164,169,173,167,213,208,177,145,127,86,110,170,157,124,96,69,49,32,172,195,189,189,190,189,187,150,157,162,164,172,164,189,219,196,162,136,98,76,120,143,110,75,62,49,23,126,200,188,190,189,188,188,187,147,154,158,163,166,164,215,211,195,173,137,103,99,124,111,69,56,57,34,101,197,189,190,190,189,190,189,190,103,107,107,108,96,155,219,200,194,171,131,114,111,110,92,61,62,61,42,98,111,110,110,108,110,111,112,114
18,166,168,169,172,173,175,175,175,177,177,178,178,178,176,176,176,175,175,174,173,174,173,172,173,170,170,169,168,168,170,171,173,174,176,177,177,179,179,179,180,181,179,178,178,177,177,175,176,177,175,174,172,173,172,171,171,172,172,174,175,177,178,179,179,179,180,180,181,180,180,180,179,179,179,178,177,177,176,176,175,175,174,173,172,172,174,176,178,179,179,181,180,181,181,181,181,181,181,181,181,180,181,180,179,178,178,179,176,176,174,174,173,173,174,177,178,180,181,181,181,181,182,182,183,183,183,183,183,182,182,182,180,180,177,171,178,177,177,175,175,174,175,178,180,181,182,183,183,183,184,184,184,185,185,185,184,184,182,182,180,196,165,129,180,179,178,178,176,177,179,180,181,181,182,185,185,185,186,186,186,186,186,186,185,184,184,182,183,212,163,94,170,180,180,179,178,178,180,181,182,183,185,187,188,187,188,187,188,188,187,190,173,147,163,155,151,212,179,104,130,182,181,181,180,179,180,182,184,185,187,188,189,189,190,189,189,189,190,200,184,146,121,129,145,211,192,128,86,158,182,181,181,180,182,184,186,187,188,189,190,191,192,192,192,193,178,145,163,168,133,103,125,186,187,145,110,102,163,183,182,181,183,185,187,188,189,190,192,193,192,193,202,199,175,138,97,149,139,103,84,115,166,156,127,106,98,183,184,182,185,186,189,189,191,192,193,194,193,209,215,216,182,148,109,104,137,98,65,67,125,170,135,112,78,179,186,184,186,187,189,191,192,193,194,194,199,217,199,221,185,156,115,73,97,81,59,53,141,177,155,119,82,180,186,186,187,189,191,193,194,194,196,196,218,215,180,204,172,159,114,72,76,73,58,51,126,179,166,121,80,178,187,187,188,190,192,194,194,196,196,210,218,202,179,191,145,125,95,71,86,68,52,54,127,172,168,124,79,179,188,188,190,192,193,195,196,196,201,226,208,176,146,170,111,94,79,80,104,73,87,106,139,170,157,116,76,178,191,189,191,192,193,195,197,198,203,232,219,190,148,131,117,107,49,88,118,144,164,166,139,144,134,111,73,169,190,190,192,194,196,198,199,199,211,233,222,200,156,119,121,96,39,134,190,194,177,161,146,109,117,109,75,159,191,191,193,194,197,199,201,200,222,232,219,185,151,133,120,98,110,204,207,195,173,144,136,110,103,102,72,169,194,193,195,196,197,200,201,202,227,230,211,174,161,133,108,113,190,210,202,186,166,141,125,114,91,85,92,190,195,193,194,196,198,200,201,206,229,229,206,175,164,135,115,163,210,206,194,180,162,135,120,108,85,71,150,195,195,194,195,196,199,200,202,208,228,225,206,181,179,135,151,176,207,199,184,174,157,124,112,97,79,80,189,197,197,195,196,197,200,201,203,209,226,221,206,192,173,140,138,179,186,189,173,164,142,116,102,87,67,132,199,199,199,196,196,198,200,202,203,209,224,220,208,197,158,128,130,165,173,172,165,153,130,107,90,75,78,186,200,200,200,196,197,199,201,203,203,212,220,218,211,184,141,113,139,154,167,164,153,139,115,94,76,62,148,201,201,202,201,197,198,201,200,202,204,217,214,205,195,166,138,130,147,155,162,158,141,125,103,80,64,115,197,201,201,202,201,198,199,201,201,203,204,225,222,220,206,193,173,154,142,153,160,148,125,108,90,68,95,192,202,203,202,203,201,196,199,197,189,204,208,230,224,222,210,191,173,155,134,142,153,134,112,97,77,76,180,204,205,203,203,203,203
21,203,206,208,209,209,210,211,211,211,211,212,205,209,211,208,207,205,204,203,202,200,197,196,194,194,192,191,189,204,208,210,211,211,212,212,213,213,213,217,188,159,211,211,209,207,206,205,205,203,201,198,199,196,195,193,191,205,208,211,212,213,214,215,215,215,215,215,197,143,174,220,209,210,209,207,207,205,203,199,184,197,197,194,193,206,209,212,213,215,216,217,218,218,218,217,207,166,132,214,213,212,211,210,209,207,206,197,136,168,205,196,195,208,211,213,215,216,217,219,220,219,219,220,216,183,119,190,221,212,213,212,211,207,208,188,125,161,208,197,197,210,213,216,216,217,218,219,220,220,222,222,220,202,144,159,226,215,216,214,213,210,209,177,120,178,207,200,199,211,214,217,218,219,220,221,221,221,224,224,223,215,162,136,219,218,217,215,215,213,204,158,122,198,204,201,199,213,217,218,219,221,222,224,223,223,225,225,224,225,173,122,203,222,217,216,216,215,199,148,138,212,203,203,202,215,218,220,220,222,224,225,225,225,227,226,225,226,191,131,181,228,217,219,217,207,182,129,162,215,205,205,203,216,219,221,223,223,223,224,226,226,228,228,226,220,209,156,158,230,217,219,218,198,164,111,193,213,206,205,203,217,218,221,223,223,224,225,226,227,229,230,228,224,221,186,143,209,229,222,220,200,148,127,216,209,210,207,204,218,219,222,224,225,226,227,227,228,230,231,230,227,227,220,174,156,199,211,201,184,128,168,221,209,210,209,207,218,220,222,225,227,227,229,230,230,231,231,231,227,176,179,191,152,150,152,161,135,112,201,217,211,211,210,209,219,221,224,226,228,229,229,231,232,232,232,232,223,164,128,170,166,159,165,169,109,129,225,214,213,213,211,209,219,222,224,226,227,229,231,232,232,232,232,233,206,190,147,145,167,148,154,153,111,137,227,215,215,214,212,210,220,223,226,227,228,231,233,233,233,233,234,210,163,186,158,128,150,106,141,173,130,109,216,218,215,215,213,211,221,225,226,229,231,232,234,234,234,234,233,208,157,165,160,107,120,95,126,181,150,102,169,227,214,215,214,211,222,226,228,230,232,233,234,234,235,235,232,213,162,144,143,92,120,121,178,191,177,118,118,223,215,215,214,212,222,226,229,231,232,234,235,235,238,236,227,197,163,134,127,92,123,165,213,194,168,117,114,222,217,216,214,213,223,226,229,232,233,234,235,237,237,237,225,210,190,147,113,102,145,212,201,178,153,100,129,228,217,218,216,213,225,226,229,231,233,235,235,236,236,238,225,214,196,158,136,134,203,220,188,161,148,94,155,231,217,218,216,213,225,227,230,232,234,235,236,238,238,239,223,211,196,166,135,139,208,206,188,163,144,96,177,231,218,218,216,214,224,227,230,232,233,235,236,238,238,239,223,199,189,164,137,139,197,201,179,156,130,94,197,228,219,218,216,215,224,228,232,233,235,236,237,238,238,240,226,196,193,172,150,140,189,194,171,143,111,101,221,223,221,219,217,215,225,227,231,234,235,236,237,239,239,240,237,207,194,177,155,129,170,171,148,128,86,133,235,220,221,219,217,216,224,225,228,231,232,234,235,237,237,237,238,219,204,182,152,132,147,154,134,116,77,180,231,219,220,217,216,214,223,226,228,231,233,235,235,236,237,238,237,225,204,181,155,143,138,147,146,101,108,226,222,220,218,217,216,215,224,226,229,232,233,235,236,237,237,237,235,225,209,184,170,164,149,150,140,88,167,234,221,221,218,217,215,213
2,182,184,185,187,186,187,186,186,186,185,184,184,184,183,183,182,181,180,179,180,179,178,176,176,159,66,57,68,184,186,187,187,187,187,187,187,187,187,186,186,186,184,184,183,183,182,181,180,180,178,177,180,145,58,61,76,186,186,188,190,188,188,189,189,189,188,188,188,185,185,185,182,174,179,182,181,181,179,180,180,158,78,68,74,187,188,189,189,191,190,190,189,189,189,188,187,188,191,189,159,107,123,152,122,178,183,180,179,179,102,74,74,188,190,192,192,192,192,192,192,190,190,192,201,194,176,139,107,80,72,97,75,139,183,182,180,183,117,64,59,189,190,193,193,193,193,194,194,192,198,208,204,153,103,84,73,64,66,71,70,67,151,187,182,185,147,58,38,190,192,193,194,194,194,195,195,193,204,204,163,105,59,61,64,53,56,63,67,57,144,189,184,184,180,74,31,192,194,194,195,196,196,196,196,199,220,166,95,73,55,50,58,61,60,69,88,131,183,186,185,184,185,123,83,193,194,195,195,197,198,198,194,210,215,136,75,68,68,59,64,62,125,173,185,191,187,187,186,185,185,145,131,194,195,196,197,199,200,199,195,223,199,125,78,67,69,61,77,144,191,193,190,188,188,189,188,185,189,105,137,195,195,197,199,200,200,198,205,222,174,106,63,61,59,63,124,202,194,194,192,190,190,189,188,188,189,112,161,196,196,198,200,201,200,198,218,216,162,111,77,73,59,61,136,202,195,194,193,193,191,189,188,189,189,155,145,198,200,201,201,202,201,204,231,208,152,105,85,80,74,60,163,200,196,195,194,193,192,191,190,189,189,185,155,200,202,202,203,202,201,217,233,191,137,96,80,78,78,80,186,200,197,196,195,194,194,193,192,191,190,187,176,200,202,203,204,203,200,230,226,178,126,87,77,76,77,83,190,200,198,197,195,195,195,194,192,191,190,189,181,202,202,203,205,203,204,240,220,169,119,86,78,79,80,88,196,200,199,198,196,195,195,195,194,194,192,190,186,201,203,205,205,201,220,238,205,159,112,84,79,80,75,88,203,201,199,200,199,197,196,196,196,194,193,193,189,202,203,207,206,202,238,231,190,148,104,80,77,73,71,67,150,209,201,200,201,200,195,181,167,154,145,149,185,204,206,206,202,212,240,219,177,134,99,80,69,67,71,75,79,196,208,204,196,172,151,151,147,142,129,92,142,206,207,207,200,227,234,206,164,126,97,78,60,65,71,76,68,121,176,169,148,147,149,154,140,118,116,119,162,206,208,203,207,237,228,198,155,119,93,72,56,71,79,81,83,77,96,127,149,160,149,121,97,130,182,193,193,205,206,197,229,237,221,188,152,114,86,66,61,85,92,101,100,100,107,131,146,133,106,85,143,197,196,194,193,205,196,216,238,232,214,181,145,107,85,65,73,94,102,111,108,107,110,117,107,104,139,175,198,195,194,193,191,197,208,238,230,220,204,175,136,100,85,67,86,99,105,110,107,97,87,88,135,185,202,201,198,195,195,192,192,200,225,229,224,213,194,164,122,94,85,75,98,107,109,100,91,76,95,166,203,204,201,200,200,196,195,193,192,222,219,218,211,194,172,144,106,90,79,81,98,104,101,83,78,148,197,205,203,202,201,200,200,197,195,194,192,218,215,205,187,165,148,116,91,80,78,86,90,94,79,78,162,209,206,203,203,202,201,200,199,197,196,195,194,219,210,190,164,145,133,99,79,76,82,80,79,76,99,178,209,204,203,203,203,202,201,201,200,198,196,195,195
14,167,169,171,173,173,174,176,176,176,177,178,177,177,177,176,175,174,173,173,173,171,171,171,169,168,167,166,165,169,171,172,174,175,176,178,179,179,179,179,179,180,179,179,179,177,176,175,175,174,174,172,171,170,169,169,168,171,173,174,176,178,179,180,180,180,181,181,181,182,182,181,182,180,179,178,177,176,174,174,173,172,172,171,170,172,174,176,178,179,181,183,183,183,184,184,184,183,181,182,183,182,181,180,180,179,178,177,175,174,174,173,172,173,176,178,180,181,183,186,186,186,186,186,188,193,176,168,173,173,183,183,182,181,180,179,177,176,175,175,174,175,177,180,182,183,185,186,187,187,188,192,202,196,178,166,161,149,155,178,185,183,182,181,181,179,178,177,176,178,179,182,184,186,186,187,189,190,192,206,204,197,178,181,168,142,118,126,184,186,185,184,182,181,180,179,178,180,182,183,186,188,188,188,190,191,202,207,199,175,113,154,157,154,117,77,135,188,187,185,183,182,182,181,180,181,183,185,187,189,191,190,194,199,210,177,136,117,82,78,94,161,152,80,89,178,188,187,186,185,183,182,182,183,185,187,190,192,193,195,210,218,203,159,109,71,59,52,46,137,173,118,83,164,191,189,188,186,185,184,184,186,188,189,191,194,194,205,220,207,170,135,107,75,45,53,45,94,140,120,83,139,193,191,189,188,187,186,185,186,188,190,193,194,197,220,217,192,140,91,80,68,51,50,83,166,160,154,112,120,194,191,191,190,188,187,187,186,188,191,194,194,218,226,208,187,135,89,58,54,50,102,178,197,186,161,99,114,195,194,194,191,190,189,188,188,191,194,192,213,230,216,204,171,125,95,58,46,78,183,204,197,175,152,90,102,195,196,196,194,193,192,191,190,193,194,204,234,227,214,197,165,131,90,45,39,104,176,203,196,162,143,91,74,167,199,197,196,195,194,192,193,195,195,226,238,225,209,188,159,118,78,48,57,69,86,172,171,146,136,101,79,137,202,199,198,196,195,194,194,195,209,239,234,219,202,182,140,98,65,68,86,89,89,102,125,149,137,99,87,166,203,201,199,197,197,196,194,197,229,236,225,210,192,166,122,96,70,92,104,108,110,102,115,140,123,87,145,201,203,202,200,199,199,197,195,214,239,228,216,199,184,157,122,96,86,105,110,113,108,112,108,125,96,125,199,203,203,202,201,200,199,198,172,228,239,221,203,191,173,151,125,93,93,109,110,108,99,111,96,85,117,197,207,206,205,203,202,202,200,199,91,156,213,207,183,166,150,132,99,85,90,100,105,99,92,95,74,104,191,210,208,207,207,205,203,203,202,200,79,79,115,157,166,138,107,79,67,75,78,84,91,85,81,104,149,198,212,209,209,208,207,207,205,204,203,202,72,73,72,83,90,83,71,58,56,60,61,64,70,80,131,197,215,213,212,211,209,209,208,207,206,206,203,202,69,68,69,68,38,32,38,36,33,34,32,67,123,171,211,215,215,214,213,213,212,210,209,208,207,207,205,203,67,66,64,68,54,17,27,26,23,22,19,54,189,220,217,216,216,215,214,214,213,211,210,209,208,207,206,205,64,61,60,64,60,16,19,23,21,20,18,43,192,220,218,218,217,217,215,215,214,212,212,210,209,208,207,206,56,59,55,61,59,13,16,19,19,18,16,98,220,220,219,219,218,217,216,216,215,214,213,212,211,209,208,207,67,89,51,63,46,9,16,16,16,16,17,144,225,219,220,219,218,217,216,216,216,214,214,213,212,209,209,208
20,166,171,174,179,181,184,186,188,190,191,193,193,193,192,197,197,195,197,197,197,197,199,198,197,198,197,196,194,171,175,180,184,186,189,191,192,195,197,198,198,195,214,172,183,205,200,200,201,201,202,203,201,203,202,200,199,175,179,184,187,190,193,196,198,199,200,201,202,203,242,149,143,203,204,204,205,205,205,207,206,206,205,203,201,179,183,188,191,195,199,199,201,203,205,207,206,211,243,154,128,166,167,218,208,209,209,210,210,209,208,206,205,183,188,193,196,199,201,204,205,207,208,210,211,215,239,149,155,192,128,220,213,212,212,213,214,213,212,210,209,187,191,196,199,203,205,207,209,211,211,214,214,219,242,154,171,208,119,210,220,216,216,217,217,217,215,214,213,190,195,199,202,207,208,211,213,215,216,217,215,224,248,161,172,223,124,203,226,220,221,222,221,219,219,218,216,192,197,201,206,209,213,215,217,218,219,222,217,233,245,161,171,237,134,192,232,222,224,225,224,224,224,222,220,196,199,204,208,211,216,218,221,223,224,224,220,243,249,167,179,238,143,178,237,225,228,228,227,227,227,225,224,199,202,207,211,215,219,222,224,226,228,225,192,231,255,164,185,251,153,169,242,228,232,232,231,231,230,228,226,200,205,209,214,217,222,225,225,219,236,254,195,175,203,140,169,255,163,168,245,231,234,234,234,233,232,231,230,204,209,213,216,221,225,227,233,220,198,251,226,147,119,102,149,221,162,164,246,234,238,236,236,235,235,235,232,206,211,216,219,223,228,228,242,252,193,196,226,178,171,138,134,179,157,159,249,238,240,240,239,238,239,237,235,207,212,217,223,226,231,234,230,226,198,157,214,202,218,197,126,127,144,146,248,239,241,241,240,241,240,239,239,211,216,220,224,228,233,235,228,189,194,138,226,203,208,203,137,97,108,142,251,239,243,243,243,244,242,241,241,212,218,223,225,230,234,235,238,228,196,163,167,151,113,205,171,113,84,133,252,243,247,247,247,246,244,242,242,213,218,223,228,232,236,237,249,220,158,118,81,84,67,177,214,144,92,110,250,248,248,249,249,248,247,245,243,215,220,224,230,233,239,241,248,223,179,137,116,114,120,202,249,181,120,101,238,252,248,250,251,249,248,248,247,217,221,225,231,234,238,239,250,241,186,146,135,152,210,255,237,186,144,106,234,255,250,252,253,252,251,250,249,217,223,227,232,235,240,240,252,246,198,158,161,177,247,255,223,168,131,111,246,255,251,253,253,252,252,251,250,218,225,230,233,238,242,240,253,255,219,186,171,184,255,243,205,154,111,118,255,254,254,255,255,255,254,252,253,220,225,231,235,240,243,241,251,255,229,190,184,190,255,235,187,144,109,123,255,255,255,255,255,255,255,255,253,220,226,232,236,240,243,243,245,255,225,206,212,192,254,228,171,132,104,136,255,255,255,255,255,255,255,255,254,220,225,230,235,240,242,244,242,236,227,207,214,184,242,208,161,124,96,151,255,255,255,255,255,255,255,255,255,220,226,232,236,239,241,243,244,240,228,207,209,168,214,183,142,124,93,177,255,254,255,255,255,255,255,255,255,222,227,231,236,238,242,243,243,246,233,198,183,143,188,161,137,126,102,229,255,255,255,255,255,255,255,255,255,222,228,232,236,239,242,245,241,248,234,201,165,151,197,149,147,109,153,255,255,255,255,255,255,255,255,255,255,222,228,233,236,239,241,245,240,251,246,216,188,181,196,138,141,96,220,255,255,255,255,255,255,255,255,255,255
13,202,203,204,203,202,203,204,205,204,203,203,205,205,206,206,205,205,206,207,206,207,205,205,204,205,204,203,203,204,205,206,204,204,205,206,205,205,205,206,205,205,207,208,208,208,208,207,207,208,207,205,206,207,206,204,203,204,206,205,206,206,206,207,206,207,207,207,207,207,207,207,207,206,205,210,211,209,208,206,207,207,206,206,205,204,205,206,206,206,208,208,208,207,206,207,209,209,207,209,216,215,190,168,194,203,208,211,208,209,207,207,207,204,206,207,207,207,209,209,207,207,207,208,210,207,216,236,237,233,203,159,125,142,147,196,213,208,208,208,207,205,205,206,208,208,207,207,208,210,210,208,208,208,214,209,221,232,212,165,122,109,119,139,221,207,208,208,208,206,206,207,208,208,208,208,209,210,207,212,200,180,201,179,171,208,214,187,134,117,165,135,212,210,209,210,209,206,207,208,208,209,209,210,211,210,212,234,200,160,190,202,196,207,202,204,141,112,142,128,210,211,211,211,210,206,207,208,209,209,209,210,210,205,217,241,209,184,153,172,204,210,189,149,114,82,140,200,212,212,212,211,211,206,208,207,208,209,212,206,215,214,160,173,220,203,170,102,137,197,197,166,149,121,120,216,214,212,212,211,211,206,207,209,209,208,205,212,234,208,144,112,190,225,185,121,59,130,163,175,197,182,121,157,223,210,213,211,211,206,207,208,209,207,216,236,219,189,153,116,151,232,185,149,84,75,85,185,216,203,168,117,199,216,212,212,211,207,207,207,207,212,229,210,190,191,169,135,112,227,193,172,116,82,81,146,228,215,189,134,135,220,211,210,211,208,208,208,207,224,214,178,173,200,177,150,86,179,222,188,151,79,90,136,219,221,189,159,116,186,219,211,211,209,208,208,209,227,221,196,166,201,182,159,124,85,210,210,176,122,112,216,211,208,185,165,124,164,224,212,213,208,207,206,210,223,212,198,168,166,189,187,163,77,106,216,202,191,145,213,209,186,159,148,114,173,222,212,213,206,206,207,207,225,229,212,189,159,161,194,173,156,74,159,211,188,192,208,195,175,148,121,108,199,217,213,212,212,212,213,211,223,232,221,200,187,170,172,169,189,131,187,226,213,220,202,185,167,143,114,123,215,213,214,213,168,171,176,174,208,236,227,210,194,187,188,173,146,156,220,232,232,211,199,182,160,135,104,157,225,218,219,218,114,113,116,103,169,241,226,218,204,193,196,195,167,157,209,230,229,211,185,173,153,126,107,142,170,170,173,173,119,119,120,112,136,230,220,221,218,205,197,194,184,149,178,227,220,205,182,156,141,118,114,113,107,104,106,113,119,119,119,121,112,201,221,218,220,217,206,195,183,165,152,210,209,193,175,146,129,116,109,113,120,140,164,190,118,120,121,123,112,148,224,214,222,222,208,196,179,169,154,178,197,179,156,142,125,106,120,180,200,213,219,219,119,120,120,121,124,112,186,223,218,214,199,186,175,164,153,156,176,169,151,135,122,96,177,234,213,206,199,207,119,120,120,119,123,114,135,224,212,198,186,178,171,161,143,142,163,171,158,127,110,109,217,219,204,194,176,171,119,120,120,119,118,122,114,200,217,186,173,174,169,157,138,129,169,182,149,118,96,159,231,213,199,163,153,158,119,120,120,119,118,125,111,178,223,194,189,184,169,152,140,127,176,175,128,110,107,217,226,226,206,155,129,155,119,120,121,118,118,123,110,169,228,203,202,192,174,157,146,125,177,159,121,98,139,228,214,235,223,169,121,137
8,156,157,156,157,158,158,159,158,158,159,159,158,160,160,159,159,160,159,159,158,156,156,156,156,154,154,154,153,157,158,158,160,160,160,160,161,160,160,160,160,146,152,163,161,161,161,160,160,159,158,158,157,155,154,155,154,160,159,160,161,161,161,161,162,161,161,158,172,130,115,168,161,163,162,162,161,161,160,160,159,159,157,156,156,160,161,162,162,162,163,162,162,163,162,162,174,113,114,171,162,163,165,163,163,162,162,162,160,160,159,158,157,162,162,163,162,164,164,164,163,164,161,171,170,88,129,172,163,164,166,165,163,163,163,162,162,161,160,159,158,163,163,163,163,165,166,165,165,166,162,177,168,81,140,172,165,166,167,166,165,166,164,163,163,162,161,161,160,163,164,165,166,166,166,166,167,167,163,183,154,84,156,172,166,167,167,166,166,166,166,165,165,163,162,162,162,165,165,165,167,166,166,166,167,167,166,184,130,90,167,167,169,171,167,172,170,164,166,167,167,166,163,163,163,166,166,167,167,167,167,167,167,166,171,181,127,92,178,164,129,151,170,143,156,174,168,171,161,161,166,165,165,166,167,168,168,168,168,168,169,165,177,179,135,100,195,174,128,110,168,118,104,128,131,150,142,100,162,167,164,167,167,168,168,168,168,168,170,166,182,177,133,133,206,181,153,98,146,138,97,84,113,135,137,62,155,170,164,167,167,168,169,169,169,169,169,168,183,173,133,158,205,193,165,93,122,141,98,140,121,147,150,67,154,170,165,166,167,169,169,169,169,169,168,174,174,160,156,158,183,198,163,98,106,129,110,157,118,151,163,98,139,176,165,166,166,168,168,169,169,170,169,180,151,156,165,154,148,197,167,105,84,114,131,146,109,144,163,132,103,172,169,166,167,168,167,169,169,169,170,182,140,135,158,140,142,185,175,109,64,97,139,136,87,127,166,127,75,159,172,167,167,168,168,169,169,168,172,189,139,108,131,125,116,168,174,101,57,89,140,127,75,141,153,95,93,174,167,167,168,168,169,169,170,168,176,198,149,97,110,102,97,133,170,126,55,80,150,117,87,150,118,70,141,176,167,167,168,169,169,169,170,169,185,197,167,96,101,100,98,120,158,142,56,76,136,96,128,124,77,90,174,168,168,167,168,168,168,169,171,171,187,194,177,109,85,101,95,113,149,105,78,139,147,132,154,108,59,139,176,168,170,167,167,168,168,169,169,170,190,193,185,113,89,110,97,132,170,154,165,162,147,127,129,104,60,163,174,170,171,167,169,171,174,175,175,173,190,193,182,112,99,110,111,165,182,182,176,157,147,116,98,78,90,177,171,172,173,100,104,108,110,113,110,132,194,190,176,117,124,106,138,188,187,184,178,161,138,106,79,60,142,178,170,167,163,70,70,71,70,70,64,89,199,191,175,137,131,112,140,193,192,187,169,153,123,93,69,66,88,88,93,117,150,79,79,79,80,79,79,84,187,192,180,148,132,127,132,194,196,175,153,140,105,79,64,67,80,111,148,172,173,80,79,78,79,78,80,73,174,191,173,145,133,129,133,197,184,163,138,118,88,65,82,133,165,183,180,180,174,80,79,77,78,80,81,78,176,180,160,142,133,124,149,189,165,149,116,96,76,54,163,198,162,154,157,161,172,77,77,77,78,78,76,91,184,170,153,140,135,130,156,163,153,132,99,93,63,88,166,180,182,161,145,150,152,78,78,78,77,80,71,104,189,162,151,144,138,138,152,152,144,120,92,86,70,149,155,143,165,174,148,119,115
20,181,184,188,191,194,195,198,199,200,201,203,204,205,203,204,207,203,204,204,205,203,204,201,199,198,198,198,195,184,188,191,193,196,199,200,201,203,203,204,207,204,220,208,191,207,207,206,205,206,204,204,203,202,200,199,199,186,190,193,195,198,201,203,205,205,206,207,209,202,242,212,148,207,187,209,207,207,206,207,206,205,203,200,200,189,193,196,197,201,204,205,207,208,209,210,214,206,246,211,156,228,149,201,214,209,210,210,207,207,206,204,202,191,196,198,199,203,206,207,208,210,212,213,215,208,246,213,167,247,154,185,221,213,213,212,211,210,207,206,205,193,198,200,201,206,208,209,211,213,214,214,216,210,254,232,170,250,175,176,223,215,216,215,214,212,211,209,207,195,199,202,204,208,211,212,213,216,216,218,220,213,255,222,177,255,191,173,226,218,219,218,216,214,213,211,209,197,200,203,206,210,213,214,216,216,216,216,219,220,255,208,191,255,188,168,227,221,221,220,218,216,215,214,213,198,202,205,208,212,215,216,217,220,218,236,233,218,255,213,193,255,179,167,231,222,222,221,220,218,217,216,215,200,205,207,210,213,216,219,220,216,223,255,255,213,176,192,193,255,179,175,233,222,225,224,222,221,220,219,217,203,207,209,213,215,217,221,219,240,252,233,238,217,147,123,165,228,170,182,236,226,226,225,225,222,222,221,219,204,208,212,214,218,220,220,231,255,255,217,185,222,196,183,148,173,157,182,238,228,228,227,226,225,224,222,221,206,209,212,217,219,223,220,242,245,195,248,211,188,241,234,169,132,133,183,238,229,230,228,227,227,226,224,223,207,211,214,219,220,223,220,244,244,144,143,146,117,208,237,185,134,121,180,240,230,233,230,229,230,228,227,226,209,212,215,220,222,225,223,248,227,189,167,127,123,138,250,226,163,113,180,243,233,234,232,231,232,230,228,227,211,215,219,221,223,228,223,254,255,220,171,144,152,136,237,255,194,116,168,247,234,236,234,233,233,232,230,228,211,216,219,223,226,229,225,255,255,196,157,149,166,171,241,255,220,140,158,247,235,238,236,235,235,234,232,230,213,218,220,224,228,231,226,255,255,203,173,169,179,199,255,255,228,158,157,247,237,238,237,236,237,235,233,233,214,220,223,226,229,232,230,255,255,220,188,184,195,241,255,255,216,164,151,247,238,239,239,238,238,236,235,234,216,221,224,227,230,235,231,255,255,236,196,197,214,255,255,255,209,163,154,246,240,241,240,240,241,239,235,235,217,220,223,227,230,235,230,255,255,246,209,200,229,255,255,249,207,159,146,247,244,243,242,242,242,241,238,236,218,220,223,227,230,234,230,251,255,248,223,215,231,255,255,231,202,152,140,244,243,242,240,240,240,240,238,236,218,221,226,229,232,235,234,243,255,255,238,238,228,255,252,222,197,146,136,245,245,244,243,240,240,239,236,239,217,222,228,230,233,235,238,238,255,255,246,248,223,241,232,204,187,137,139,252,245,246,245,244,240,240,246,229,220,223,228,230,234,237,239,236,255,255,252,235,209,210,211,187,190,124,160,255,246,249,246,242,249,246,216,147,220,225,228,229,234,236,247,251,255,255,245,213,177,182,200,185,180,109,197,255,248,249,247,253,223,159,119,105,222,227,231,235,238,244,210,126,198,255,216,189,162,177,209,176,153,115,251,254,251,252,255,210,133,116,110,100,186,191,197,201,205,215,140,21,133,255,226,193,162,191,214,150,130,73,160,246,239,247,206,124,114,108,98,97
24,158,160,163,163,164,165,166,166,167,167,166,167,166,166,165,164,163,162,162,161,160,158,157,157,155,154,153,152,159,162,164,164,165,166,167,168,168,168,168,168,168,166,166,166,164,164,164,164,162,160,160,159,158,156,155,154,161,163,165,166,167,168,169,170,171,170,170,170,170,170,168,167,167,166,165,164,164,162,161,161,160,159,157,156,162,163,166,167,169,169,170,171,171,171,171,171,171,171,170,169,169,167,165,166,165,164,164,163,161,160,159,158,163,164,167,168,169,167,168,173,173,172,172,172,172,172,171,169,169,167,167,167,166,165,165,164,163,161,160,159,165,165,168,168,177,154,136,173,174,174,174,173,173,173,172,171,171,169,168,168,168,167,166,165,164,163,162,161,166,167,170,169,182,136,121,174,174,174,174,175,174,174,173,172,171,171,169,169,169,168,167,166,165,164,163,162,166,168,170,172,179,119,129,176,175,175,176,176,176,175,173,172,172,171,171,170,170,169,168,167,166,165,164,163,168,169,171,176,177,117,138,178,177,177,176,174,170,173,175,174,173,173,172,172,171,170,169,167,166,166,165,165,170,171,173,180,175,117,143,181,178,175,179,178,153,130,166,176,174,174,173,173,173,171,170,170,167,167,167,166,171,172,173,181,169,133,148,159,178,150,147,178,163,123,111,167,177,175,175,171,161,149,143,160,171,169,168,167,171,174,175,183,180,182,175,157,189,151,115,169,171,127,80,125,178,176,171,152,119,103,97,124,172,171,170,168,172,175,176,184,185,201,182,174,192,160,109,160,163,119,73,93,170,174,163,126,93,96,118,145,171,171,170,169,174,176,177,185,184,207,187,185,197,156,96,121,130,100,61,75,153,169,146,107,95,150,171,172,172,172,171,170,175,178,178,190,204,205,180,185,199,146,91,56,98,123,104,113,149,149,117,97,140,178,176,175,174,173,172,171,175,179,180,195,199,188,160,147,166,122,86,85,154,171,160,150,147,123,94,118,174,179,179,177,176,175,173,172,176,178,184,192,175,171,147,115,110,117,151,185,188,175,159,142,130,113,98,161,180,180,180,178,178,176,174,173,177,178,189,204,182,167,151,136,116,187,205,199,189,170,145,127,113,105,132,181,181,181,179,178,178,176,175,174,178,178,195,210,190,169,154,165,196,215,204,195,182,158,132,113,107,108,170,185,182,181,180,179,179,177,175,176,178,180,203,214,196,182,184,206,218,213,204,189,170,143,117,107,98,132,185,185,184,182,181,180,180,179,177,177,179,180,207,216,201,192,204,219,218,207,198,177,152,126,109,102,110,173,187,186,185,183,182,181,180,180,179,178,181,181,207,221,205,195,209,216,204,187,178,158,132,114,103,107,163,189,188,187,186,185,184,183,181,181,180,178,181,181,203,223,207,192,201,203,194,172,158,138,117,105,109,163,190,189,188,187,187,186,185,184,182,181,180,179,182,183,195,208,196,191,203,204,193,171,154,129,104,93,155,192,192,191,190,188,188,187,186,185,183,183,181,180,182,184,189,195,191,196,201,194,188,164,143,116,85,114,188,194,193,191,191,189,189,188,187,185,184,184,181,180,183,185,188,201,207,200,196,185,183,159,134,103,79,151,195,195,194,193,192,190,189,188,187,187,185,183,183,182,182,184,188,211,210,190,194,183,172,153,130,96,88,176,196,195,194,194,193,191,190,189,188,187,186,185,184,181,180,183,187,216,209,182,197,179,164,151,125,97,91,179,195,194,193,194,192,191,189,188,188,187,186,185,183,182
3,116,124,129,132,135,139,144,149,150,152,153,155,155,156,157,157,158,161,160,158,159,158,158,160,160,158,157,157,118,127,133,136,139,143,148,152,154,156,158,159,160,160,161,163,168,128,157,163,162,162,162,163,162,161,161,160,124,132,137,142,145,149,154,157,159,162,163,164,165,166,165,171,179,97,134,175,166,169,168,167,167,166,165,164,129,137,142,145,150,154,158,162,164,167,168,169,170,171,171,175,180,94,109,182,172,173,173,172,170,170,168,167,134,140,146,150,154,158,162,166,169,171,172,173,175,176,176,179,184,96,94,181,178,178,177,176,175,173,172,171,136,145,150,153,158,162,167,171,174,176,177,179,179,181,182,184,194,114,88,181,182,182,182,181,180,179,177,176,139,148,154,157,162,166,171,174,177,180,181,182,184,184,183,178,203,121,76,174,188,186,186,185,184,183,180,179,143,151,157,160,165,169,174,179,180,182,185,185,185,193,209,163,132,113,93,167,194,190,190,189,188,187,184,182,146,155,160,164,169,173,179,183,186,188,191,195,173,162,223,197,115,171,114,158,201,192,193,192,191,190,188,187,150,158,163,166,172,176,181,186,189,188,177,212,208,156,188,202,148,180,83,123,209,193,195,195,193,193,193,191,152,159,165,169,175,179,184,188,191,202,180,164,212,182,160,194,137,173,118,83,185,204,198,198,197,196,195,194,154,162,168,172,178,182,186,189,194,212,218,166,139,195,146,185,135,154,164,102,122,213,200,201,200,199,197,198,156,165,169,175,180,184,188,193,200,178,171,158,88,167,119,175,193,120,167,119,102,210,204,204,202,202,200,200,158,167,172,176,181,186,192,195,204,173,129,155,84,141,121,105,121,63,143,126,104,211,207,207,205,204,204,201,162,169,174,179,184,188,194,195,203,204,163,139,111,116,175,106,32,62,174,133,98,209,209,209,207,206,206,206,163,170,175,181,186,190,194,198,207,202,141,99,84,69,131,97,56,119,199,136,85,193,215,209,209,208,207,207,164,172,177,182,187,192,197,199,206,203,164,124,96,69,71,105,144,174,176,128,83,186,220,211,213,212,209,208,167,174,179,184,189,193,199,200,208,218,180,129,103,102,113,185,224,202,152,108,92,202,219,214,214,212,212,211,167,174,180,185,190,196,200,201,207,219,190,145,126,126,133,214,224,183,144,91,105,218,216,215,216,215,213,211,167,176,182,186,192,197,200,203,207,215,198,163,135,122,143,215,212,168,132,84,128,228,216,218,217,216,215,213,168,174,181,187,191,195,199,205,207,209,197,164,143,140,141,209,205,157,118,79,159,229,218,220,219,219,216,214,168,175,181,187,192,196,199,203,206,205,196,171,158,154,131,199,188,144,106,82,187,227,217,218,219,219,216,214,170,177,183,188,193,197,200,204,207,209,196,177,159,154,122,170,171,128,96,93,208,223,218,218,217,216,217,217,170,176,182,187,192,197,199,203,206,206,207,182,159,143,107,141,140,106,86,143,228,218,221,220,220,221,210,183,172,183,188,193,199,205,208,210,213,208,217,181,158,129,108,125,113,97,100,205,222,222,214,219,211,204,178,142,122,128,132,139,147,152,157,166,166,201,218,183,164,131,121,120,111,84,143,222,187,183,201,162,175,193,140,135,96,97,98,99,100,98,98,102,100,190,209,181,165,155,129,112,98,80,193,237,192,162,177,169,142,179,110,151,104,105,108,108,108,111,116,112,121,206,198,162,157,161,120,102,83,113,181,218,195,176,142,174,151,141,108,167
5,183,185,188,191,190,190,191,192,192,192,194,193,194,194,194,193,198,186,193,192,191,190,188,188,187,185,184,184,185,188,190,192,192,192,194,190,209,198,162,199,195,195,196,193,222,153,186,196,194,192,190,190,189,188,186,185,187,189,192,194,194,196,197,193,206,228,143,195,199,196,195,202,232,140,181,200,195,195,193,192,191,190,189,189,189,191,193,196,195,195,199,196,201,239,152,186,204,200,193,224,211,136,196,199,197,196,196,194,193,192,192,189,191,194,195,196,200,218,168,196,202,249,174,178,208,199,202,238,177,146,208,198,199,199,197,197,196,194,193,191,193,196,197,199,195,233,165,175,206,252,199,171,210,196,224,233,155,171,208,200,202,199,198,199,198,197,195,194,196,197,198,202,194,232,195,156,213,247,193,165,208,204,230,200,138,194,207,203,204,202,201,200,199,197,196,196,197,199,201,203,197,228,230,159,208,237,182,153,210,212,212,149,151,212,204,205,204,204,203,202,201,198,198,198,198,200,202,204,200,214,253,179,193,237,201,157,205,205,196,129,186,212,206,207,206,204,204,203,203,202,200,200,200,201,203,205,204,209,253,208,165,236,201,166,176,186,185,141,204,211,208,208,209,205,205,204,204,204,202,201,201,202,204,205,207,206,245,247,181,207,195,179,137,162,164,154,211,210,210,210,210,208,207,207,206,204,202,201,202,204,205,208,209,207,227,253,242,191,168,180,132,139,141,173,217,212,212,208,208,207,206,205,205,205,205,205,203,205,208,209,209,210,211,246,253,232,160,155,139,133,124,185,217,208,214,221,225,227,227,220,208,206,195,196,205,208,209,210,211,213,210,228,253,249,208,145,132,132,126,149,191,204,199,181,191,206,191,194,207,194,148,177,207,208,209,211,212,214,215,213,247,253,220,160,133,131,127,136,155,177,155,125,147,160,159,174,182,180,148,201,208,210,212,212,214,216,217,213,235,253,218,160,134,127,125,136,132,125,135,186,217,213,217,214,213,189,161,210,209,210,212,214,216,217,219,215,234,253,219,165,138,125,129,127,125,179,214,223,216,218,210,210,198,158,201,213,210,212,214,215,216,219,219,216,241,253,220,171,141,128,124,106,197,234,219,217,220,210,197,213,158,178,221,209,210,214,216,217,216,218,219,217,245,253,214,169,140,126,119,118,167,196,219,220,203,197,201,193,136,196,218,213,211,214,217,218,217,218,219,222,251,249,207,169,136,118,117,129,124,140,161,173,180,196,197,155,162,218,218,209,212,215,216,217,218,220,218,228,253,244,204,164,132,114,116,121,131,152,153,162,185,179,156,180,220,222,181,137,210,214,216,217,218,221,217,234,253,239,197,156,136,117,122,127,148,166,160,158,165,146,189,223,220,206,130,129,213,215,217,218,219,221,218,242,253,228,184,162,145,120,128,147,162,165,164,143,137,200,226,215,226,187,125,128,214,216,217,220,221,221,221,250,253,217,181,173,151,121,130,154,163,163,153,145,209,227,218,229,193,123,115,103,214,216,219,222,223,221,229,253,249,215,189,175,151,122,128,153,154,154,136,205,232,221,227,217,142,113,110,95,215,217,219,221,221,219,240,253,246,223,198,169,141,116,121,141,143,128,182,232,223,230,189,137,119,109,95,86,218,219,222,223,226,225,249,253,242,223,181,135,111,94,99,110,124,175,231,228,230,177,128,121,113,106,96,83,201,204,208,210,190,208,253,248,227,197,139,96,86,77,84,70,143,241,226,229,171,116,117,111,103,100,103,91
24,189,191,193,197,198,199,201,203,204,204,205,205,205,206,206,207,206,207,208,207,207,207,207,207,206,205,205,204,190,193,197,199,200,202,204,205,205,206,207,207,208,208,208,209,209,210,210,209,210,210,210,209,208,207,207,206,192,195,197,200,203,205,206,207,208,209,209,209,210,211,210,211,210,211,210,210,210,211,212,211,210,210,209,208,193,196,200,203,206,207,208,209,211,210,210,211,211,212,213,213,213,213,212,213,213,213,214,213,212,211,211,210,197,201,201,205,208,209,210,211,211,212,213,214,214,215,215,214,215,216,216,216,215,215,216,215,213,213,212,211,182,173,208,206,209,210,212,213,213,214,215,215,216,215,216,216,217,217,217,217,217,217,217,216,216,214,214,214,174,132,208,209,210,212,214,215,215,215,217,218,219,217,218,218,220,220,218,219,220,219,218,220,220,219,220,215,174,126,202,211,212,214,215,217,220,222,219,213,210,223,219,220,221,220,220,221,220,221,221,216,205,181,183,222,163,114,204,214,214,216,220,216,197,195,221,194,164,176,225,221,220,221,222,222,222,222,216,191,171,127,168,226,155,113,203,216,211,182,185,221,184,153,197,203,181,147,198,228,221,222,222,222,224,222,215,187,133,154,226,221,168,120,193,220,223,193,172,214,198,180,179,213,200,170,164,230,222,224,224,225,223,220,210,161,133,224,224,221,177,135,184,220,229,226,194,184,219,200,166,192,213,177,145,218,226,225,226,226,222,218,192,123,171,233,222,223,196,182,192,214,213,231,218,167,191,218,180,157,209,168,123,212,234,227,224,216,216,202,143,130,224,227,225,224,211,209,201,212,201,193,223,160,135,220,196,136,151,143,107,192,212,208,200,191,194,155,120,212,234,227,226,226,206,216,211,209,207,193,191,155,115,173,173,122,90,122,145,183,203,206,191,169,153,117,188,238,227,228,228,227,209,221,211,210,207,190,180,162,136,118,132,104,93,155,210,220,216,203,177,152,126,154,240,229,229,229,229,228,211,219,211,184,191,187,175,168,152,139,141,139,182,210,219,217,204,189,160,129,120,221,235,231,231,230,230,229,213,216,218,200,175,178,199,186,180,165,159,201,225,221,217,209,194,172,142,108,179,241,232,234,233,232,232,231,214,215,226,226,199,176,179,194,210,210,212,231,225,220,211,197,178,152,114,156,241,232,234,234,233,232,232,232,213,215,220,229,213,191,176,185,200,224,230,227,226,220,203,180,156,125,127,230,237,234,234,234,234,233,233,232,213,218,216,225,229,204,186,187,203,226,231,232,231,213,185,160,137,110,194,241,232,234,234,233,233,233,232,230,214,218,218,228,238,228,202,200,206,232,240,234,222,193,165,140,115,142,239,234,235,235,234,234,233,233,232,235,214,217,219,220,231,239,218,206,209,228,237,225,201,171,145,125,107,208,241,235,237,237,236,236,233,235,229,225,216,217,222,213,209,227,218,210,210,213,215,209,186,154,129,104,143,241,233,236,236,236,234,236,239,226,221,166,210,214,218,221,206,208,213,208,203,190,187,195,178,144,120,102,199,247,240,241,241,241,239,240,222,214,236,208,146,151,151,157,156,191,212,201,190,175,176,186,168,144,122,111,185,208,209,211,214,221,224,218,222,207,205,160,138,138,137,137,132,159,204,175,171,172,185,195,167,151,136,113,129,138,136,138,139,141,145,207,236,202,197,161,141,143,148,147,145,143,187,171,179,190,193,197,170,147,144,117,136,150,150,150,146,146,179,180,220,228,139,186
4,203,203,204,204,205,206,206,204,206,206,205,208,207,207,207,207,207,208,207,206,209,207,204,204,205,204,203,203,205,206,206,206,206,207,207,207,207,208,208,209,207,208,207,207,209,208,207,208,208,207,208,207,207,207,205,204,207,208,208,207,208,209,208,208,209,208,207,208,207,209,212,209,209,211,214,210,209,208,209,208,207,208,207,205,208,209,209,209,210,209,209,209,210,210,210,211,210,195,187,205,208,190,185,211,213,212,209,208,209,209,209,206,208,210,210,209,210,210,210,209,210,209,200,207,241,215,173,165,220,192,151,152,207,197,212,213,210,210,210,209,209,209,210,212,210,211,213,213,210,223,218,190,194,246,200,150,226,217,166,115,181,154,144,211,213,210,210,209,210,210,210,211,213,213,214,211,216,236,235,205,150,224,214,139,219,225,168,153,214,176,109,147,222,209,212,211,211,213,213,214,213,215,216,211,226,215,228,207,147,198,216,121,196,228,153,157,220,175,120,122,221,213,213,213,212,214,214,215,215,215,214,216,237,189,215,212,132,176,222,142,159,205,135,166,228,197,120,137,225,213,216,213,212,214,214,215,217,216,212,227,221,157,172,219,145,153,223,197,184,184,189,216,233,201,134,154,228,214,217,214,214,214,214,215,217,216,216,231,220,190,163,191,145,125,159,196,197,198,213,215,211,183,161,127,216,218,217,216,214,214,214,215,217,216,228,229,211,194,164,141,111,113,130,127,166,175,182,195,184,167,186,114,178,228,216,217,214,215,215,215,217,217,230,217,187,161,154,136,111,120,142,105,139,145,147,161,148,185,192,134,134,229,216,218,214,216,216,216,218,217,233,221,187,151,129,124,117,132,138,136,172,169,144,108,172,226,200,165,110,201,225,217,214,216,216,217,218,218,241,236,203,164,131,111,118,141,130,169,194,187,158,174,191,222,217,195,124,149,233,217,214,215,216,217,218,220,240,239,211,167,129,116,118,143,156,199,185,195,205,224,221,208,223,187,133,120,227,220,213,214,216,216,215,222,242,240,222,169,130,131,122,129,165,186,194,218,224,216,219,203,189,167,139,109,211,223,213,214,216,216,215,222,243,237,227,170,138,154,138,144,176,190,214,221,219,212,204,193,163,145,127,124,218,221,214,215,215,217,216,225,238,235,215,177,172,160,145,189,210,222,229,223,214,201,189,173,148,124,109,192,225,220,214,215,215,217,215,225,239,235,220,197,186,164,145,207,228,227,233,221,205,190,177,157,135,102,162,228,220,222,215,216,216,217,216,218,241,233,231,211,185,185,154,195,231,228,228,211,188,178,167,145,115,127,222,223,223,222,215,216,215,216,218,210,234,236,238,220,197,187,169,193,230,224,216,199,178,165,149,131,106,195,230,222,223,221,219,219,219,219,222,210,223,234,225,209,200,185,175,190,219,213,202,187,165,153,138,107,144,230,222,223,223,222,194,198,203,203,208,200,220,237,216,199,199,191,178,188,200,200,185,169,153,146,126,110,213,233,230,229,229,228,123,125,125,126,132,120,205,237,212,206,208,198,181,187,197,193,180,155,141,137,110,136,197,194,201,202,197,196,120,120,118,119,122,105,197,239,214,213,209,198,182,188,201,199,179,140,130,120,112,117,119,119,111,113,145,159,122,121,123,123,127,109,198,244,216,213,212,207,184,183,200,195,160,126,120,109,118,121,116,119,157,186,221,238,121,121,122,123,127,107,194,248,218,214,220,222,187,170,197,182,141,121,111,114,134,135,159,199,246,229,186,209
10,153,154,154,155,155,157,158,158,157,158,158,157,157,157,155,154,153,153,151,150,149,155,147,112,140,141,139,138,157,157,158,160,160,160,161,162,161,162,161,161,161,160,159,159,157,155,155,154,151,165,154,95,137,142,141,140,162,162,163,164,165,165,166,166,167,167,165,165,165,165,164,163,162,160,159,158,156,169,153,96,134,146,145,143,167,168,168,169,170,170,170,171,171,170,170,170,170,169,168,167,165,164,162,162,159,173,146,93,132,151,148,146,171,172,172,174,174,174,174,174,175,175,175,176,175,174,173,171,170,169,166,166,164,177,149,95,133,155,152,151,175,175,177,178,178,178,179,179,180,180,179,180,180,179,178,176,174,172,171,170,168,184,154,102,136,159,156,154,178,179,180,180,181,182,182,183,183,182,182,183,184,182,181,180,178,176,174,173,173,191,153,139,136,163,160,157,181,183,183,184,184,185,186,187,186,186,186,186,186,186,184,183,182,181,179,178,177,186,165,156,97,163,163,160,183,185,186,187,188,188,189,188,188,188,188,188,189,189,188,187,186,185,182,177,156,150,169,151,83,147,167,164,187,188,189,190,191,190,191,191,191,191,190,191,192,192,192,190,188,187,185,189,179,151,133,136,97,92,166,168,190,190,192,193,194,194,194,195,195,194,195,195,195,195,194,193,191,181,165,173,184,165,138,106,99,77,124,171,194,194,195,196,196,196,197,196,197,197,197,197,197,197,194,190,190,172,137,111,125,168,172,136,83,82,88,173,196,196,197,198,198,198,199,199,199,199,199,200,199,197,177,144,154,187,160,116,50,117,158,114,72,70,93,176,198,198,199,200,200,200,201,201,201,201,201,201,200,195,186,159,129,178,182,137,66,47,71,113,94,72,102,180,199,200,201,201,202,202,202,202,202,202,203,203,200,189,186,181,151,139,187,148,98,50,56,141,132,82,109,181,201,201,202,204,204,204,203,204,205,205,205,204,198,173,147,172,155,106,154,155,105,57,79,142,150,92,106,183,202,203,204,205,206,206,206,207,207,207,207,205,200,183,135,123,137,84,101,157,108,69,90,135,142,87,103,184,203,205,206,207,208,208,208,208,209,208,209,207,192,174,145,110,125,96,81,156,148,98,93,135,108,73,122,186,204,207,207,207,208,209,209,210,210,209,209,207,198,200,173,125,117,115,92,143,164,117,85,118,89,66,160,188,207,208,208,209,209,210,210,210,211,211,211,210,199,206,187,151,124,117,113,164,158,105,82,103,83,78,185,190,208,209,210,210,210,211,212,211,212,213,214,214,200,202,195,165,136,132,141,195,190,149,113,100,79,107,192,192,208,209,211,211,212,213,213,213,214,215,216,215,203,191,191,174,150,144,148,193,191,163,127,98,71,142,194,192,206,208,209,210,211,210,211,212,214,215,215,215,208,187,189,181,169,156,150,186,182,152,114,89,70,176,195,194,207,208,209,210,211,211,211,212,215,215,215,215,214,189,179,184,178,158,139,171,161,134,101,75,95,193,194,193,209,208,210,212,212,214,214,214,216,216,216,216,215,203,173,177,170,154,132,146,143,118,87,63,147,196,194,193,209,210,211,212,213,214,215,215,215,216,217,217,216,214,187,176,164,149,132,131,142,115,79,86,191,198,195,193,205,207,209,211,212,214,214,214,215,216,216,217,217,213,194,177,162,154,144,130,137,107,70,138,198,197,195,194,133,135,140,144,148,153,159,163,167,171,175,180,186,187,188,181,165,166,150,134,132,98,67,164,196,195,187,151
19,204,210,215,219,223,226,229,231,232,234,234,234,235,234,234,235,235,234,232,232,231,230,229,225,236,242,203,255,209,215,220,224,227,231,234,236,238,238,239,239,239,242,239,239,238,237,237,237,236,236,234,228,249,194,191,255,214,219,224,229,232,236,239,242,244,245,245,245,247,238,248,245,244,243,242,242,241,240,239,237,237,243,255,255,219,225,229,234,238,241,245,246,247,250,247,255,255,187,189,254,247,247,246,246,245,244,243,242,237,249,241,207,223,229,234,238,243,246,250,251,253,255,250,255,255,179,133,238,255,251,251,250,250,249,247,245,243,243,224,211,230,235,240,244,249,253,255,255,255,255,255,255,255,196,128,204,255,254,254,253,254,253,251,249,248,247,241,244,233,239,244,248,254,255,255,255,255,255,255,255,255,210,133,171,255,255,255,255,255,255,255,253,251,250,245,249,238,242,247,254,255,255,255,255,255,255,255,255,255,199,120,138,255,255,255,255,255,255,255,255,255,254,250,254,241,247,253,255,255,255,255,255,255,255,255,255,255,199,163,188,239,233,247,252,255,255,255,255,255,255,255,255,244,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,221,184,212,230,211,199,208,209,234,248,255,255,247,253,255,255,255,255,255,241,244,255,255,255,255,255,255,247,224,201,218,241,222,216,213,192,231,230,210,255,250,255,255,255,255,255,255,235,247,253,252,254,251,243,236,220,201,164,164,190,201,205,207,191,202,214,177,242,252,255,255,255,255,255,255,251,244,226,229,237,233,228,229,224,212,145,194,213,212,203,193,189,193,220,105,215,255,255,255,255,255,255,209,195,210,223,244,247,236,235,232,231,224,170,246,255,255,255,255,255,255,241,83,149,255,255,255,255,255,247,210,204,207,220,227,223,229,231,228,227,205,144,232,255,255,255,255,255,255,151,97,95,255,255,255,255,255,227,227,228,223,209,173,184,209,194,177,186,164,133,255,255,255,255,255,255,234,109,102,103,255,255,255,255,255,255,247,216,204,213,219,215,210,202,193,186,170,156,255,255,255,237,181,126,98,100,102,104,255,255,255,255,255,255,255,214,182,207,218,218,216,214,204,192,188,154,225,194,100,81,90,82,84,95,96,99,255,255,255,255,255,255,255,217,198,191,178,181,190,189,177,168,162,143,83,61,78,69,77,73,93,91,89,95,255,255,255,255,255,255,255,229,205,180,156,160,180,180,168,160,142,114,85,82,86,78,69,64,81,84,79,89,255,255,255,255,255,255,255,248,201,168,191,203,198,191,177,168,140,73,71,90,77,74,75,74,65,71,73,81,255,255,255,255,255,255,255,255,198,164,181,190,184,172,155,147,137,72,56,77,81,76,63,65,74,73,72,74,255,255,255,255,255,255,255,229,193,181,180,190,188,166,148,155,126,75,63,63,77,79,68,50,64,67,81,81,255,255,255,255,255,255,255,223,196,191,180,183,163,138,151,156,70,66,73,61,62,79,77,56,53,57,73,77,255,255,255,255,255,255,255,219,190,193,185,162,122,111,125,108,45,50,65,61,61,65,81,68,49,57,54,51,255,255,255,255,255,255,227,191,197,230,186,120,110,72,25,62,72,46,53,62,61,62,67,78,55,51,54,49,253,255,255,255,255,255,224,198,218,222,171,117,108,60,16,38,73,65,51,62,55,56,59,66,67,43,51,48,165,159,236,255,255,255,232,226,234,208,163,126,90,78,25,24,55,73,60,57,54,46,55,55,65,51,41,49
1,65,69,85,105,120,128,131,138,145,148,151,154,159,162,163,169,168,167,168,169,170,171,171,171,174,173,173,173,65,71,88,108,123,130,134,141,148,153,156,159,162,173,175,132,172,174,175,173,174,175,175,175,177,175,174,174,68,74,93,113,127,133,138,146,154,159,161,163,168,188,195,95,153,145,162,183,178,179,179,179,178,178,177,177,70,77,96,116,130,136,142,151,158,163,169,184,126,186,197,92,144,148,110,192,183,184,185,184,184,182,181,180,70,79,101,119,132,138,145,156,163,165,178,207,104,169,197,86,145,172,88,178,193,190,190,188,188,187,186,184,71,82,105,122,136,141,148,158,166,171,181,212,111,156,205,100,148,181,89,159,202,192,194,193,193,192,191,190,72,85,109,126,141,145,153,162,169,173,187,218,120,140,195,105,150,196,106,147,209,196,198,198,197,197,195,194,73,88,112,130,142,148,154,165,175,183,146,211,129,117,175,106,149,192,110,141,215,201,202,202,202,201,200,199,74,92,116,134,146,151,159,167,189,193,108,198,134,96,184,116,141,202,122,141,220,205,206,207,207,205,204,203,74,95,119,137,148,152,164,171,201,184,101,202,145,84,172,110,138,213,134,142,224,210,213,212,211,210,208,208,75,97,121,140,151,154,167,174,206,182,93,192,165,88,138,133,139,191,138,137,227,214,216,215,214,213,212,211,77,99,124,143,152,158,170,176,215,195,89,157,189,149,152,159,137,128,113,133,230,216,218,217,218,217,215,214,78,102,126,145,156,160,173,180,217,200,92,133,151,156,161,121,128,162,108,135,237,218,223,222,222,221,219,219,81,106,130,149,159,163,178,184,213,204,140,155,89,137,114,96,180,206,180,132,208,231,222,225,224,223,222,223,82,109,134,154,162,167,180,187,224,210,158,131,90,120,83,137,196,201,207,146,110,219,230,228,227,227,227,224,83,111,135,155,164,170,183,192,235,209,152,112,96,127,131,198,221,206,184,122,82,143,242,228,231,230,231,229,85,114,139,157,165,172,186,196,241,220,155,107,112,138,154,218,231,215,169,115,78,125,242,230,232,232,232,231,88,117,141,161,168,175,190,197,243,233,169,109,124,152,178,217,228,211,168,120,67,147,249,233,236,234,232,237,91,121,144,163,170,178,192,199,239,239,192,121,131,162,185,230,231,202,157,118,66,170,251,233,237,245,250,232,94,124,148,165,172,180,195,201,235,243,212,138,140,166,180,235,226,198,145,110,63,189,247,246,242,206,139,74,98,127,151,169,174,184,197,203,229,239,223,154,157,155,177,224,219,190,133,103,66,207,255,181,96,50,28,34,100,129,153,171,176,185,199,207,219,228,230,170,174,149,179,211,214,177,126,92,75,234,154,47,23,29,33,25,103,130,155,172,176,185,199,208,210,220,228,189,177,156,163,209,193,164,113,84,93,133,41,50,38,9,30,34,104,133,158,172,176,186,197,206,209,213,219,196,183,171,145,187,179,149,108,86,65,28,20,45,53,5,10,38,106,135,160,175,177,188,200,208,215,208,215,204,190,184,149,157,178,139,107,82,48,41,19,15,52,23,0,22,108,136,163,177,179,191,202,210,218,211,217,214,199,185,145,139,164,135,101,71,53,41,28,0,29,43,0,3,105,137,164,178,181,193,203,212,218,215,220,202,181,173,147,140,139,123,89,63,58,29,27,2,8,42,14,0,120,140,160,170,176,187,195,205,213,209,219,210,177,180,170,140,123,117,84,59,52,40,18,8,0,27,29,0
13,166,169,171,172,173,173,175,176,177,176,175,176,177,177,179,177,177,179,178,178,177,178,177,178,178,178,178,178,168,170,172,173,175,176,177,177,177,177,178,177,178,178,173,179,183,179,179,179,179,179,181,180,180,180,179,178,170,172,174,175,175,177,178,177,178,180,184,181,184,178,142,114,168,184,179,179,181,181,182,182,182,182,181,181,171,173,176,176,177,179,179,179,180,177,163,169,193,182,147,84,137,195,182,187,182,184,184,183,183,184,183,183,172,174,176,177,179,181,182,179,194,180,136,116,168,180,146,90,121,137,125,156,188,184,184,183,182,183,184,183,173,175,177,179,180,182,182,177,202,195,155,113,162,184,136,86,103,149,110,76,169,191,185,185,184,184,185,185,175,175,178,180,180,180,185,157,122,152,171,117,156,181,128,81,158,168,122,72,135,197,186,187,187,188,187,187,176,178,180,182,180,188,193,157,123,96,158,116,149,199,128,105,174,148,117,74,139,197,186,188,189,189,189,188,178,181,182,181,188,189,187,173,140,96,135,128,123,173,114,108,179,152,111,68,158,197,187,189,190,190,190,189,179,182,183,183,193,163,171,178,137,95,107,142,88,62,66,116,190,157,97,75,176,193,189,190,190,191,190,189,180,182,182,188,193,168,150,168,140,91,90,135,99,30,73,146,151,107,69,90,192,192,191,192,190,191,192,191,182,183,184,197,189,163,133,171,136,93,86,120,103,47,67,155,165,131,88,126,204,191,194,193,192,192,192,192,182,183,184,202,191,164,125,160,131,93,80,120,110,81,156,156,153,148,125,104,192,194,194,194,193,193,193,193,183,184,187,203,184,157,121,139,134,100,79,154,131,129,188,168,146,124,111,83,160,203,194,195,194,194,194,194,184,184,188,202,185,165,145,126,129,128,66,140,154,179,180,163,143,112,98,85,171,201,195,196,195,195,195,194,184,185,191,203,186,169,155,131,108,97,77,159,189,195,177,154,134,108,92,95,192,197,196,197,197,196,196,195,185,184,192,203,187,168,156,150,121,109,128,193,193,194,169,144,124,102,86,117,203,196,198,197,198,196,196,196,186,186,191,198,187,172,161,157,130,120,124,183,194,183,152,130,113,96,83,161,206,198,200,198,198,197,197,197,186,186,188,191,189,175,164,160,140,119,125,185,192,169,143,122,106,86,115,202,200,201,200,199,198,199,199,198,186,186,187,191,191,177,164,160,143,121,136,173,183,154,137,114,101,81,165,206,198,201,200,200,199,199,199,198,185,187,188,191,192,178,163,156,142,120,142,166,160,140,127,108,93,98,196,199,198,199,199,199,199,199,199,199,185,187,186,192,191,171,159,148,129,119,149,152,138,130,116,103,83,145,207,198,199,199,199,199,199,199,198,199,185,187,182,194,185,163,157,137,123,126,151,139,130,124,109,93,107,195,199,199,199,200,200,200,200,199,199,199,185,184,181,202,179,166,157,136,132,140,152,135,128,112,101,90,172,203,198,200,199,200,200,200,200,200,200,199,186,181,187,206,182,176,160,137,141,151,140,126,118,100,83,138,202,198,199,199,199,200,200,200,201,200,200,200,186,180,189,194,178,179,164,143,149,146,130,116,104,89,95,190,200,199,199,199,199,200,201,201,201,200,199,200,189,176,188,182,167,168,157,140,140,141,122,101,99,77,144,203,199,200,199,200,200,200,201,201,201,201,201,201,142,157,192,176,160,146,140,131,138,146,110,98,94,81,166,194,193,196,198,199,200,200,202,202,200,202,199,192
6,150,152,155,157,158,161,162,160,160,160,161,162,161,160,160,159,160,159,159,158,156,156,156,156,154,153,151,151,151,154,156,158,160,162,162,163,164,164,164,163,164,163,162,161,161,161,159,158,157,158,158,157,157,156,152,151,152,155,157,158,161,164,165,165,167,165,164,164,165,164,162,161,162,160,159,160,159,159,159,158,157,156,153,151,151,154,157,160,162,165,165,165,165,165,165,165,165,165,165,164,163,162,161,160,159,159,160,158,157,157,156,154,152,156,158,160,163,164,165,166,166,166,167,167,166,164,162,162,162,162,165,163,163,165,163,161,160,157,157,155,153,156,158,161,164,164,166,167,166,166,162,158,150,140,118,120,129,135,133,135,136,132,145,149,157,159,158,157,153,157,160,161,164,164,161,167,167,169,166,160,156,141,118,120,135,142,128,130,112,103,158,138,115,163,157,158,154,158,159,165,169,157,162,175,178,179,172,161,152,136,119,117,130,139,134,130,127,112,146,126,95,163,158,158,157,159,160,192,179,158,160,162,158,148,139,133,122,118,101,74,69,87,95,100,106,101,106,107,142,164,159,158,158,160,163,203,177,155,146,139,145,151,151,143,128,124,130,92,70,145,143,146,147,151,154,160,166,162,160,158,159,159,166,182,149,143,148,155,164,170,163,149,140,135,134,104,65,171,174,172,172,170,169,167,165,163,162,159,159,157,189,179,141,140,146,155,166,170,167,157,145,131,112,84,50,132,176,167,168,167,166,166,167,165,162,160,160,160,190,161,142,138,141,146,151,155,156,148,132,122,106,59,50,95,178,167,169,169,168,167,167,167,164,162,160,164,175,144,156,153,151,151,156,165,166,148,121,124,126,59,46,82,173,171,170,170,169,168,168,166,164,163,160,162,173,173,173,160,163,164,173,177,159,141,128,129,115,67,52,76,167,173,173,173,169,168,167,165,165,163,161,159,176,206,182,155,160,160,164,162,154,142,133,116,86,67,63,81,173,173,173,173,170,168,167,167,166,165,158,157,181,201,178,156,152,140,125,122,125,121,114,99,58,56,71,142,178,172,171,171,172,168,166,165,164,163,159,157,179,185,175,160,142,123,116,134,145,136,135,140,74,36,81,171,173,172,170,169,170,168,167,164,162,160,162,159,180,175,188,167,142,143,165,174,153,133,124,132,85,49,109,178,171,171,170,170,168,168,167,165,163,160,161,159,180,172,183,165,145,148,158,157,139,126,116,102,76,63,130,181,171,171,170,169,168,168,167,166,164,162,159,152,175,177,169,155,148,147,151,144,134,115,96,74,59,69,150,175,172,172,172,171,169,168,167,166,165,164,162,152,165,176,175,156,145,139,131,111,94,74,60,73,114,145,174,170,173,173,171,172,172,171,169,168,167,157,148,141,161,173,160,142,128,116,97,74,61,42,63,136,168,166,162,162,163,162,161,162,163,162,162,162,151,196,69,74,153,162,135,122,115,106,74,60,65,64,72,75,74,72,73,73,73,73,70,71,72,72,74,63,180,251,67,70,148,150,122,125,118,93,68,63,71,78,63,58,59,57,57,57,58,55,54,54,53,53,39,162,255,240,67,79,153,139,120,135,115,80,65,62,77,73,64,65,65,65,62,67,76,69,69,73,72,46,164,255,244,241,62,90,160,136,125,134,111,80,62,63,85,70,65,65,64,63,62,63,65,63,63,69,48,143,255,246,241,233,62,105,163,132,120,123,96,70,60,70,83,67,66,65,64,62,62,62,62,63,67,53,109,252,245,249,232,227
23,91,101,116,124,128,132,137,139,141,144,145,148,149,152,153,154,156,157,158,159,160,162,163,164,165,167,167,167,92,102,118,125,129,133,138,141,143,145,146,150,151,153,154,155,156,158,159,159,162,163,164,165,165,166,167,167,93,106,120,125,130,134,138,141,144,145,149,151,152,155,156,157,157,158,160,159,164,165,166,166,167,167,168,169,96,108,121,126,132,135,138,141,145,148,151,152,152,157,157,159,160,162,162,163,164,164,166,166,167,170,170,169,96,109,123,127,133,137,140,143,146,149,151,152,153,156,158,159,161,164,162,163,163,166,168,171,170,171,171,172,98,111,124,129,134,138,141,144,147,149,152,154,156,158,158,160,162,162,165,168,155,156,159,120,159,174,172,173,101,114,126,129,135,139,142,145,149,151,153,155,157,159,159,160,160,171,179,165,140,128,106,92,168,174,172,174,103,117,127,131,136,138,143,147,150,152,155,156,158,160,160,166,176,171,166,125,90,117,123,163,177,174,175,177,103,119,128,133,137,140,144,147,150,152,154,157,159,160,157,190,175,138,111,92,144,157,180,177,175,176,177,179,104,120,128,133,136,140,144,147,150,152,155,158,159,160,160,196,177,107,100,179,171,97,158,178,175,177,178,178,106,120,127,133,137,141,145,148,152,153,157,159,160,160,166,199,178,157,196,189,148,111,133,188,177,179,180,179,107,121,128,134,139,142,147,149,151,153,156,159,160,161,173,196,183,198,185,159,147,158,126,142,152,182,179,180,108,123,128,133,139,143,147,150,152,154,156,159,163,161,174,185,180,182,171,177,178,164,117,76,95,169,186,181,110,123,129,133,139,144,147,151,153,155,156,161,162,164,174,172,167,177,182,173,161,144,101,61,63,121,191,182,112,124,130,134,141,144,148,152,153,155,160,160,168,183,175,162,164,170,163,158,160,137,88,58,64,74,121,183,113,125,130,135,141,145,149,152,154,157,160,156,188,201,170,165,165,165,162,155,137,117,86,62,57,84,78,143,114,125,130,135,140,145,149,152,154,156,159,158,175,205,181,181,162,132,114,99,102,123,85,59,52,82,84,159,116,126,131,137,140,145,150,153,155,156,159,160,170,199,184,169,148,132,91,42,103,129,84,60,71,86,109,190,117,127,132,137,142,147,151,154,157,157,160,162,173,193,169,159,170,121,75,60,119,105,59,59,91,85,149,194,118,128,131,136,142,147,151,155,158,158,162,162,171,196,168,174,172,110,51,57,64,41,51,73,93,102,188,188,120,127,132,137,142,147,151,154,157,159,162,163,172,191,171,180,161,123,71,26,31,51,79,90,82,139,194,186,121,128,133,138,142,148,151,153,157,159,161,163,174,187,172,184,163,122,86,36,56,82,96,98,94,178,188,187,122,128,133,138,143,149,152,155,158,159,163,162,177,186,176,183,163,123,97,52,69,94,101,90,129,196,185,189,122,127,133,140,144,148,152,156,157,161,164,163,180,185,180,180,157,125,95,55,76,99,101,83,155,194,187,190,122,127,133,140,145,148,152,156,158,160,164,164,182,188,174,170,153,124,96,70,75,99,95,91,181,190,189,190,122,128,133,141,143,148,153,156,158,161,165,165,180,186,168,163,148,123,99,82,76,95,82,122,196,185,188,189,123,127,135,141,143,148,153,156,159,162,165,165,181,184,169,163,144,126,106,87,79,87,85,175,191,187,189,189,121,127,134,139,145,149,153,158,160,161,165,165,189,183,172,164,146,129,110,88,83,79,137,194,186,190,190,191
19,172,173,173,175,177,179,180,180,179,180,181,180,179,178,178,178,177,176,174,173,173,172,172,171,169,168,169,168,172,174,176,177,179,180,180,181,181,181,182,181,180,180,180,179,178,178,177,176,175,173,172,172,172,172,171,170,173,176,178,179,180,182,182,182,183,183,183,182,182,182,181,181,180,178,178,178,177,177,175,175,173,173,171,171,174,176,179,181,181,182,184,184,186,186,186,184,183,182,182,183,182,179,180,179,179,179,178,176,174,174,173,172,176,178,178,181,182,184,186,187,188,188,187,188,188,185,184,184,182,181,181,180,180,180,179,177,175,174,174,173,177,180,180,181,184,187,187,189,188,188,188,188,189,189,186,185,184,182,182,181,180,179,179,178,176,176,175,175,178,180,181,185,186,188,189,190,190,190,190,189,188,187,188,190,188,186,184,183,183,182,179,179,178,178,176,176,179,182,185,187,188,189,190,191,191,190,189,190,189,188,182,173,183,187,185,187,186,183,181,181,178,176,178,176,181,182,185,188,190,190,192,193,192,192,191,190,189,194,174,129,139,189,174,175,179,177,172,178,176,112,171,179,183,184,187,188,190,192,192,191,192,188,183,188,187,195,187,179,191,194,179,179,193,184,175,157,116,101,176,180,184,186,188,189,190,193,192,196,199,170,159,168,177,181,171,159,149,157,146,158,176,151,122,111,129,173,184,181,183,187,188,189,191,193,191,192,170,162,175,177,167,168,162,153,112,100,100,106,146,145,163,178,189,186,182,183,187,188,190,191,194,187,198,215,195,196,197,188,176,160,119,93,101,77,73,158,197,193,192,188,186,184,183,184,189,190,191,192,198,186,226,240,210,190,180,174,168,148,108,74,91,80,83,181,193,190,189,187,186,186,186,186,187,189,192,193,198,187,223,228,189,158,127,116,118,129,114,84,91,82,89,187,192,192,190,190,188,187,187,187,188,190,193,194,197,187,204,214,176,119,106,67,61,147,122,91,94,82,103,194,193,193,192,191,191,189,189,187,189,190,193,195,199,184,197,214,173,125,81,49,117,145,115,94,95,80,128,204,194,194,195,193,193,191,189,188,190,191,194,196,201,182,193,219,180,142,108,70,76,76,73,80,81,90,103,200,197,196,194,194,193,192,190,188,192,194,196,197,202,183,191,219,185,149,115,99,65,39,36,47,68,82,79,184,201,196,196,194,193,192,190,188,191,195,197,198,204,181,182,216,182,150,118,103,101,76,63,70,82,90,82,170,205,197,197,195,193,193,192,192,192,195,197,198,203,185,178,212,179,148,120,104,103,88,77,82,90,97,88,175,205,197,197,196,195,195,194,193,192,195,197,201,205,189,175,210,180,144,120,106,104,89,77,84,93,97,98,189,203,198,198,197,196,196,197,194,193,196,198,201,205,194,180,203,171,140,118,104,102,95,86,89,99,99,120,204,202,200,200,199,197,197,196,195,196,198,199,200,205,195,193,206,171,138,119,106,100,100,98,100,109,97,160,209,200,202,201,199,199,198,196,197,197,198,200,203,207,191,196,210,179,146,125,110,101,106,106,108,103,130,202,204,204,203,203,200,199,198,197,197,195,197,199,202,209,185,197,205,179,160,131,109,101,110,109,106,150,200,206,205,204,202,202,200,200,200,198,196,194,197,197,198,201,186,202,194,166,150,129,108,106,108,98,133,205,205,203,203,202,201,200,200,199,198,197,196,194,198,198,200,198,200,212,198,174,148,133,113,103,102,92,151,204,204,203,203,202,201,200,200,199,197,196,195
7,173,173,173,173,173,173,173,173,172,171,171,169,168,168,166,165,165,163,161,159,158,157,155,153,152,149,147,146,175,174,175,175,174,175,174,175,174,173,173,172,171,170,169,168,167,166,165,162,160,160,159,156,154,152,149,148,175,176,175,176,177,176,177,177,176,176,175,174,173,172,171,169,168,168,166,164,162,161,160,158,155,155,152,150,176,178,177,177,179,178,178,179,178,177,177,176,175,174,172,170,171,169,169,170,167,166,164,159,158,157,154,153,180,179,180,180,180,180,181,181,180,179,176,176,176,178,177,177,174,168,162,153,152,149,159,165,161,159,156,154,181,181,180,180,180,180,180,181,180,181,182,183,177,165,156,141,137,134,114,107,154,147,124,164,162,161,159,156,182,182,182,182,182,184,186,187,184,175,162,147,133,123,100,111,112,102,100,99,124,111,120,175,165,162,160,157,182,183,183,184,185,177,163,148,141,130,121,113,115,107,91,93,87,75,82,65,57,89,120,120,153,166,161,160,183,183,186,178,148,123,114,115,119,123,121,114,104,82,85,79,78,82,82,78,77,68,58,80,97,165,163,161,185,188,175,149,138,111,99,110,100,94,90,89,92,100,114,105,73,86,94,73,69,55,49,70,73,160,167,163,186,167,149,150,139,108,89,79,77,87,101,118,125,120,109,93,58,62,62,41,42,44,52,73,125,170,165,164,157,143,148,147,136,128,118,120,121,128,131,118,112,101,91,63,41,49,75,102,128,147,164,175,175,169,167,165,141,144,147,142,140,136,120,110,101,103,99,82,77,74,70,82,116,155,181,187,186,181,176,173,171,169,168,166,145,150,145,145,145,127,89,59,68,67,52,40,31,70,174,191,191,189,181,179,178,176,175,175,173,170,167,166,151,149,147,142,122,106,60,40,47,32,25,24,25,17,76,189,182,183,183,182,181,178,176,176,174,171,167,165,149,150,142,119,111,97,68,59,38,26,27,25,27,13,66,184,185,182,182,181,179,176,175,174,172,169,170,174,151,148,131,117,108,104,110,108,58,29,32,34,19,73,184,185,185,182,181,180,178,175,173,170,170,176,158,118,152,142,118,105,101,104,115,96,43,28,24,9,53,189,189,186,186,183,182,181,179,176,178,181,170,138,62,28,142,115,91,92,90,90,91,58,31,21,19,19,43,194,184,186,182,181,180,179,185,181,156,115,68,34,28,23,115,99,96,99,92,80,69,54,46,28,31,13,93,193,184,187,193,191,190,188,134,77,48,30,25,27,29,19,104,106,105,100,79,54,56,74,63,31,19,95,200,194,195,182,138,125,124,88,43,36,25,26,27,27,28,16,106,97,81,61,48,52,68,77,46,24,58,130,132,119,106,63,27,28,21,27,24,32,29,8,18,26,28,16,88,67,60,59,60,61,56,38,32,67,79,62,50,46,46,23,10,29,15,26,18,15,22,2,9,21,27,10,77,73,75,69,56,46,39,44,80,98,75,56,46,39,30,31,3,17,14,11,13,14,13,0,4,17,23,3,65,62,58,52,43,45,68,89,88,69,51,37,31,24,22,18,9,0,14,3,9,9,6,0,3,16,20,0,41,48,55,59,70,83,88,86,74,35,26,29,26,15,19,14,12,0,5,1,3,9,2,0,6,13,19,0,82,88,91,96,89,84,84,76,42,27,12,19,23,11,12,7,9,0,0,3,0,10,0,0,8,11,15,0,88,90,87,91,85,83,76,53,17,16,14,8,21,3,6,0,4,0,0,1,1,9,0,1,7,13,14,0
3,188,188,189,188,189,189,189,191,188,188,188,186,185,185,185,184,184,182,179,177,176,174,173,172,170,169,168,165,189,189,191,191,191,190,190,191,190,189,190,187,186,186,185,184,177,181,180,178,177,175,173,173,171,169,168,166,191,191,192,192,192,191,192,192,192,191,190,188,187,187,183,201,138,159,186,179,179,176,175,173,171,170,170,168,193,192,193,193,192,193,192,192,193,192,192,191,189,186,192,196,115,162,188,179,179,178,177,175,173,172,171,170,194,195,196,197,195,194,195,194,194,194,193,192,192,186,211,165,112,183,187,182,180,179,178,177,176,173,171,170,198,197,198,199,198,198,197,196,196,195,194,194,191,200,212,128,139,193,185,186,185,183,181,179,177,176,173,171,199,199,200,201,200,200,200,200,199,197,197,197,191,222,193,114,165,197,189,189,187,186,183,181,179,178,176,174,200,201,202,203,201,202,202,201,201,199,200,195,211,215,158,114,187,197,193,192,188,186,185,183,181,179,177,176,203,205,206,205,205,205,204,204,203,202,203,199,218,193,120,145,193,182,190,192,194,189,186,185,183,183,181,178,205,207,208,208,208,207,208,207,206,205,204,202,212,198,160,170,190,182,190,182,176,189,190,185,187,186,184,182,207,208,209,210,209,208,209,208,208,207,206,205,215,221,202,173,173,175,177,192,173,138,186,193,181,182,187,184,209,210,211,211,210,211,210,210,210,209,208,206,234,209,184,188,178,156,150,136,163,146,131,161,166,139,179,189,212,212,212,212,212,214,213,212,211,212,207,218,238,211,191,176,159,144,119,121,98,154,154,127,139,132,184,189,214,214,214,214,214,215,214,213,214,212,214,242,226,179,133,120,153,143,127,120,106,104,139,119,107,178,193,189,216,216,217,216,216,217,216,216,215,213,236,243,186,136,101,83,169,196,144,123,112,109,91,104,141,200,190,190,217,217,218,218,217,217,217,218,214,226,252,217,147,112,96,86,116,216,208,186,138,105,111,110,162,201,192,191,218,219,220,219,220,220,219,221,207,241,247,195,143,118,92,84,78,128,205,230,158,99,123,116,184,201,193,193,220,221,221,221,221,221,221,223,207,232,230,197,144,102,88,82,86,79,109,157,108,121,129,129,198,200,196,194,222,222,222,222,222,221,222,224,212,224,239,208,153,113,89,87,92,102,103,100,101,132,128,138,204,200,197,195,223,224,224,224,224,224,224,225,211,221,246,209,168,128,98,93,104,112,123,135,127,129,127,150,209,200,198,197,224,225,225,226,225,225,225,226,211,218,253,217,174,137,114,94,108,123,141,150,139,126,116,165,211,200,201,200,225,226,226,226,226,227,226,228,212,212,255,220,179,150,131,99,108,138,153,152,142,122,132,200,207,202,202,201,225,225,227,227,229,229,228,230,215,207,247,216,186,154,135,107,111,140,146,142,134,125,191,215,207,206,203,201,226,227,229,229,228,228,228,230,218,205,245,221,191,156,132,113,113,133,139,135,122,147,214,210,208,206,205,203,228,229,229,230,231,230,230,232,223,204,237,221,190,155,132,123,117,130,135,131,124,188,217,210,209,209,206,204,228,229,230,230,231,231,231,232,224,214,237,212,184,155,140,131,119,126,131,127,173,218,213,212,210,208,207,205,229,230,230,230,230,230,230,232,225,213,241,212,187,163,146,133,125,126,130,168,220,216,215,213,211,209,207,205,230,231,231,231,231,232,232,233,223,211,234,204,184,163,139,130,131,127,151,218,221,217,216,215,214,212,208,206
4,218,218,218,217,216,215,214,214,214,213,212,212,212,210,209,207,206,206,204,202,200,200,198,196,195,195,195,193,220,220,219,218,217,217,217,216,215,214,213,213,212,210,209,208,207,206,205,204,203,200,200,198,197,196,195,194,220,220,219,219,220,219,217,217,218,217,216,214,213,212,210,210,208,205,205,205,205,202,202,200,199,196,195,195,222,221,221,220,221,221,220,220,219,218,217,216,216,217,215,211,211,213,206,205,204,204,204,201,199,198,197,196,224,224,224,223,221,221,221,220,218,218,218,208,198,201,201,208,187,183,209,210,207,207,202,201,201,199,198,197,225,225,225,223,223,222,222,220,220,220,219,207,199,194,172,147,154,147,154,201,197,200,209,201,202,200,199,197,226,225,224,224,224,225,224,223,221,208,208,192,157,127,178,130,94,156,142,120,124,119,169,210,201,201,199,197,227,226,225,226,226,225,224,223,218,216,207,196,163,96,139,140,82,134,140,93,98,112,105,207,203,202,200,198,226,227,227,226,227,226,225,225,223,182,143,169,192,121,129,157,147,137,121,85,126,139,95,175,212,201,202,200,227,227,228,228,227,227,227,224,226,191,119,80,199,166,132,159,184,165,127,129,127,148,114,163,215,201,202,201,228,229,228,227,229,228,227,228,216,165,114,58,114,145,99,120,134,162,140,139,130,139,114,135,216,202,203,202,230,231,230,230,229,229,228,229,208,170,146,122,87,96,97,88,77,125,154,138,127,127,126,106,205,206,203,202,231,231,231,229,229,230,229,227,214,196,165,126,92,96,111,102,106,100,113,122,126,154,152,95,178,213,202,202,231,232,231,230,231,231,230,227,218,186,144,115,91,96,105,116,135,120,95,112,186,178,158,107,144,217,201,202,233,233,232,232,233,233,228,230,217,179,142,105,90,96,110,129,133,123,131,148,161,180,175,133,118,214,203,203,234,234,233,234,234,233,229,228,221,195,159,117,96,105,119,136,135,142,175,193,175,178,182,141,98,202,207,203,235,234,235,235,236,235,232,227,217,196,168,126,98,104,123,147,157,166,184,189,185,171,151,130,86,195,209,204,235,235,235,235,236,235,234,226,216,206,179,144,108,102,125,150,171,187,197,193,174,160,136,101,96,209,207,205,234,235,235,235,235,235,234,225,211,211,188,156,126,104,113,165,186,202,201,190,166,147,125,75,146,219,205,205,236,236,236,235,235,237,235,223,207,207,192,163,134,113,115,180,196,201,196,179,154,136,106,85,205,210,208,207,236,236,236,235,234,235,236,220,202,201,199,173,140,127,126,185,197,194,187,167,143,125,80,146,222,208,209,207,237,236,236,236,236,235,238,219,200,204,201,178,151,137,138,185,193,190,173,149,132,107,86,207,214,211,208,207,238,236,235,237,237,236,238,225,207,211,205,182,159,135,136,184,185,179,159,132,119,75,149,225,211,212,210,209,238,236,235,238,237,238,239,230,210,216,201,183,166,139,130,174,174,162,141,122,90,93,217,216,213,213,211,210,238,238,238,240,239,238,239,230,220,215,199,186,170,149,132,154,159,143,125,105,68,186,224,214,213,213,212,210,238,238,239,240,239,237,240,230,221,211,197,183,168,157,141,139,146,130,112,68,140,230,215,216,214,213,212,210,238,239,240,240,240,239,237,225,220,212,200,191,181,168,153,132,133,117,86,98,223,220,219,217,216,214,212,210,239,240,240,240,240,241,226,216,221,212,197,194,180,163,154,132,122,105,72,175,231,217,219,217,216,214,212,211
17,149,152,153,155,157,158,159,160,162,163,163,165,166,167,167,169,169,169,171,171,170,172,171,171,172,172,171,171,149,152,154,156,158,159,160,162,163,164,164,166,167,168,170,170,170,171,172,172,172,172,171,172,173,172,172,171,149,152,155,158,158,160,161,162,163,165,165,166,167,169,170,171,162,146,152,138,172,174,174,174,174,174,173,172,150,152,155,158,160,161,162,163,164,166,165,167,168,171,171,174,173,128,104,101,166,174,175,175,174,175,174,173,151,154,156,158,160,162,163,165,167,168,168,169,171,172,172,173,187,141,95,94,171,175,176,176,174,175,175,173,152,154,157,159,160,162,164,166,167,168,169,170,172,173,174,174,189,154,107,104,176,177,176,176,175,176,176,174,153,156,158,159,162,164,165,166,167,169,171,165,157,175,175,174,192,160,118,129,178,178,177,177,176,177,177,176,155,157,158,160,163,164,166,168,169,169,173,167,133,146,175,178,192,158,121,147,178,179,179,179,178,178,177,177,156,157,159,161,163,165,166,168,167,163,173,173,152,133,151,171,185,156,120,146,179,179,179,179,179,178,177,176,156,158,159,162,164,165,165,177,168,133,145,178,180,173,141,108,153,150,122,146,180,181,181,179,179,179,179,178,157,159,160,163,166,167,169,180,173,135,145,155,172,186,162,112,112,129,115,143,181,181,180,179,180,180,180,179,158,160,161,163,166,168,174,171,156,149,120,117,110,191,184,136,95,108,104,139,183,182,181,181,181,180,180,180,157,159,162,164,166,167,179,165,124,122,113,90,88,181,195,154,99,94,94,134,183,183,183,182,181,181,181,181,158,160,163,164,167,168,184,166,142,137,120,113,121,168,201,166,114,90,94,127,183,183,183,183,182,181,182,181,158,161,164,165,168,170,189,166,147,138,127,135,149,173,196,168,127,90,91,124,184,183,183,184,183,183,182,182,159,161,164,167,168,176,182,151,137,134,135,146,181,202,179,162,130,89,86,123,184,184,184,184,184,183,182,180,159,161,164,168,168,184,182,155,140,134,143,161,208,201,171,150,123,86,80,127,184,185,185,184,184,184,183,181,159,162,164,167,168,191,184,161,145,134,148,189,205,192,167,143,116,86,80,147,185,185,185,184,184,184,184,183,159,163,165,167,168,197,184,167,155,137,162,205,199,187,161,132,111,86,88,172,185,185,185,185,184,183,184,183,159,162,166,168,168,203,186,173,166,146,170,204,191,182,161,125,104,83,117,186,184,186,186,186,185,184,183,183,160,164,167,169,169,205,192,179,174,159,168,198,185,176,156,120,98,84,159,186,185,185,186,187,185,184,185,185,161,165,167,169,168,200,199,183,174,165,165,190,179,176,151,116,93,96,182,185,185,185,186,186,185,185,185,185,161,165,168,170,170,192,200,181,169,163,168,179,169,179,157,112,92,113,187,187,187,187,187,187,186,186,186,185,163,165,167,169,171,189,194,180,168,160,167,175,166,179,151,111,93,141,187,187,187,188,188,188,187,187,186,185,162,164,167,170,171,194,198,186,170,167,170,177,162,173,138,107,97,173,187,188,187,187,187,188,187,187,186,185,160,163,167,171,172,201,204,183,169,174,175,171,154,160,125,98,126,186,187,188,188,188,188,188,188,188,187,186,162,164,168,171,172,205,199,173,169,177,175,160,145,145,112,93,168,187,188,188,188,188,188,187,189,188,187,186,162,165,168,170,174,206,195,169,170,177,172,152,141,131,104,108,184,187,188,188,189,189,189,188,189,188,187,187
1,112,116,120,121,124,127,129,130,131,132,132,133,134,133,134,135,134,134,134,133,134,134,134,134,133,132,131,130,115,120,124,124,128,130,131,132,133,135,136,136,136,137,136,136,138,138,138,136,137,138,137,138,137,135,134,134,118,123,126,128,131,133,136,136,137,138,139,139,139,138,143,143,139,143,142,140,141,142,142,142,140,139,138,137,121,126,129,132,135,137,139,139,140,142,142,142,144,147,122,131,146,143,144,143,144,144,144,144,142,143,141,139,125,128,132,136,139,141,142,142,144,144,143,147,136,155,113,83,163,148,144,145,146,146,147,146,144,143,143,142,127,131,136,140,141,144,145,145,145,146,144,164,129,115,127,59,115,129,152,147,149,149,149,148,147,146,145,144,130,135,139,142,144,146,147,148,147,149,147,169,129,108,140,53,98,73,154,151,152,153,153,152,151,150,149,147,134,138,141,145,147,150,150,152,152,153,146,172,139,103,159,74,111,72,131,159,153,154,155,154,153,152,151,150,138,141,143,147,149,151,153,154,153,160,131,125,163,90,158,87,108,94,105,166,155,157,156,155,155,154,153,152,140,144,147,150,152,153,154,157,155,169,128,91,170,84,143,105,122,141,86,162,159,160,160,159,158,156,156,153,141,145,147,151,153,154,156,159,156,173,134,97,166,90,146,126,103,157,85,143,166,160,162,161,160,159,158,157,142,146,149,152,155,157,159,160,158,179,136,105,187,109,135,143,85,162,105,116,173,162,163,162,162,161,160,159,144,149,152,153,157,159,160,163,160,176,134,97,181,90,94,144,69,166,131,95,173,164,165,165,164,164,162,161,146,151,153,156,159,160,162,165,162,177,151,77,148,102,95,132,94,144,123,85,162,169,168,167,165,165,164,163,147,151,154,157,159,162,164,166,164,182,139,76,119,170,123,121,158,124,98,75,141,176,166,167,168,167,166,165,147,151,156,158,161,164,166,166,166,176,146,141,99,134,140,167,159,112,97,77,98,181,167,170,170,168,168,168,148,152,157,160,162,164,166,166,171,174,149,142,96,114,177,175,154,164,118,75,63,172,172,171,172,170,169,169,149,153,157,161,164,166,166,166,174,182,135,114,123,152,148,114,111,194,178,129,54,150,178,172,174,174,173,171,148,153,158,161,163,167,167,167,174,197,138,106,107,98,86,92,141,175,174,138,86,122,185,172,174,173,173,172,150,152,156,160,161,164,166,166,171,205,160,102,115,115,141,177,191,164,152,117,65,105,186,173,174,174,173,174,151,153,157,161,163,164,167,167,169,199,186,111,135,126,173,195,190,172,141,110,44,106,187,172,174,174,173,174,151,154,158,161,163,166,167,168,169,196,201,130,149,130,164,201,199,174,129,96,42,114,188,173,175,175,173,173,150,153,157,159,162,166,167,169,168,188,200,153,165,141,146,205,198,161,121,83,43,143,185,175,176,175,175,174,154,157,162,163,164,168,169,170,169,176,196,177,166,153,129,199,190,151,114,72,45,163,181,177,176,176,176,175,135,140,146,152,156,162,164,165,169,167,191,195,169,148,116,177,181,139,101,62,62,186,187,188,182,176,175,177,59,61,63,68,73,74,77,81,86,81,171,187,156,140,113,146,161,124,87,63,73,144,140,140,160,185,179,173,61,61,60,60,61,61,61,61,63,50,146,176,148,135,109,126,150,119,79,63,58,53,80,135,166,164,175,172,61,65,73,70,69,68,65,66,69,58,143,175,152,129,115,125,147,112,63,56,81,142,188,190,163,134,134,169
7,203,209,216,222,227,230,234,237,238,241,243,243,244,243,244,244,244,244,243,242,240,240,239,237,236,234,233,232,206,212,218,224,228,231,236,239,240,241,246,246,249,248,247,247,247,246,244,243,243,242,242,241,239,235,236,234,206,214,221,227,230,234,237,241,243,244,246,248,250,249,248,249,248,247,246,246,246,244,243,241,240,238,238,237,209,217,222,229,234,236,239,244,246,247,249,251,251,251,252,252,251,250,250,247,248,247,244,243,243,240,240,239,212,219,224,230,235,238,242,246,247,250,251,253,254,254,253,253,255,255,255,250,245,245,245,248,244,243,243,241,214,220,225,232,237,241,243,246,247,252,252,255,255,255,255,254,250,242,238,212,235,255,216,244,250,247,243,242,216,222,229,234,239,243,245,250,251,253,255,255,248,236,229,232,228,212,214,196,223,248,179,237,247,244,248,244,218,223,231,237,240,244,247,250,249,249,241,226,208,181,197,217,222,193,178,166,158,182,188,255,255,186,247,248,221,227,234,240,243,246,242,216,210,211,210,209,198,186,165,171,154,155,186,189,187,196,213,245,238,158,246,251,221,228,235,240,247,254,232,209,211,201,188,191,195,178,160,153,176,217,242,219,202,193,170,148,167,221,255,249,222,229,234,243,255,244,223,219,210,173,174,202,219,196,188,176,175,196,202,177,149,133,154,197,240,255,254,253,223,229,241,251,237,232,232,227,184,134,160,179,183,167,165,162,136,143,131,138,173,220,255,255,255,255,255,254,224,238,250,242,239,235,222,226,197,145,140,122,108,97,99,111,125,161,214,251,255,255,255,255,255,255,255,255,244,251,247,247,244,223,217,214,216,189,130,98,68,133,205,214,245,255,255,255,255,255,255,255,255,255,255,255,255,249,243,237,226,219,219,220,217,186,139,108,99,129,240,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,230,222,215,209,201,196,187,161,131,100,107,101,80,204,255,255,255,255,255,255,255,255,255,255,255,255,246,229,219,210,201,194,188,180,176,163,129,90,95,124,100,114,255,255,255,255,255,255,255,255,255,255,255,255,236,230,210,204,193,189,188,185,186,183,136,91,82,110,104,125,255,255,255,255,255,255,255,255,255,255,255,255,130,204,208,202,194,190,184,183,185,173,129,98,97,76,80,89,225,255,255,255,255,255,255,255,255,255,255,255,53,79,172,211,201,194,182,172,158,137,117,112,108,92,78,70,196,255,255,255,255,255,255,255,255,255,255,255,64,48,56,162,210,191,178,164,151,130,118,110,114,94,116,169,255,255,255,255,255,255,255,255,255,255,255,255,56,54,46,52,158,171,151,135,129,104,81,99,103,105,255,255,255,255,255,255,255,255,255,255,255,255,255,255,50,47,45,39,59,112,110,117,101,63,63,80,119,243,255,255,255,255,255,255,255,255,255,255,255,255,255,255,44,40,38,43,35,17,48,242,199,92,130,184,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,27,33,36,43,38,30,218,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,76,33,30,49,33,203,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,61,69,44,29,91,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,20,48,46,18,128,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255
11,130,134,138,142,144,147,150,152,154,156,158,159,161,163,165,166,167,168,169,170,171,172,172,173,172,172,172,171,131,134,139,142,145,148,151,153,155,157,159,161,163,165,166,167,168,170,171,172,173,173,174,173,173,173,173,172,132,135,140,143,146,149,151,154,156,158,160,162,165,166,167,168,170,171,172,173,174,174,175,174,174,174,174,174,133,137,141,144,147,149,151,154,157,159,161,163,165,167,167,165,166,172,173,174,175,175,175,175,175,176,176,176,134,138,142,145,148,150,153,156,159,161,163,165,166,168,169,156,145,168,175,176,176,176,177,177,177,177,177,177,135,139,143,146,149,152,154,158,160,163,164,166,168,169,172,153,125,161,176,177,177,178,178,178,178,178,178,177,136,140,144,147,150,153,156,159,161,164,166,167,168,171,176,148,121,161,177,178,178,179,179,179,179,178,178,178,136,140,145,148,151,153,157,160,163,165,167,168,169,173,178,139,125,168,178,179,180,179,180,180,180,179,179,179,137,141,146,149,151,154,157,160,163,166,168,169,171,178,176,132,135,174,180,180,181,181,181,181,181,180,180,180,138,142,146,150,152,155,158,160,164,166,168,169,172,181,159,122,146,177,180,181,182,182,182,182,182,181,181,181,139,142,146,150,153,155,158,161,164,166,168,168,168,172,135,118,159,179,181,181,181,182,182,182,182,182,181,181,139,143,147,150,154,156,158,162,164,163,170,167,143,137,117,127,171,180,181,182,182,182,183,182,183,182,182,181,139,143,148,153,159,160,154,157,168,151,147,153,123,103,105,144,178,181,182,182,182,183,183,183,183,183,182,182,139,143,152,167,178,173,145,130,157,137,120,135,114,90,104,160,180,181,182,183,183,183,184,184,184,183,183,183,139,144,161,169,168,172,141,117,143,124,119,136,107,84,115,171,181,182,183,183,183,185,185,185,185,184,184,184,139,149,163,154,146,159,136,114,133,114,124,132,98,82,128,177,182,182,183,183,184,185,186,186,186,185,184,184,140,158,166,142,126,142,125,108,121,108,126,120,87,81,138,179,182,182,183,184,184,185,186,186,186,186,185,184,145,170,168,141,122,126,106,103,107,101,122,105,78,79,140,180,182,182,182,182,181,182,185,186,186,185,185,185,156,181,166,141,121,113,99,105,93,98,122,92,74,83,130,171,178,177,173,166,161,158,167,180,185,186,185,185,168,183,163,141,121,107,103,112,85,90,112,94,97,109,126,153,166,169,165,156,146,136,133,151,180,186,186,185,170,180,164,146,128,112,111,121,114,121,132,135,139,140,146,155,158,155,148,139,136,136,128,128,169,186,186,186,167,179,167,153,134,122,129,148,156,156,156,156,152,142,142,142,135,136,145,153,164,171,164,157,176,187,187,186,171,182,168,154,136,128,140,160,161,157,157,152,140,123,120,128,145,165,178,183,186,187,186,185,186,187,187,187,180,180,161,147,132,129,141,155,154,151,148,133,116,111,132,160,178,184,186,187,188,188,188,188,188,188,188,188,184,165,147,138,132,132,138,143,145,139,124,109,115,143,170,182,185,186,186,187,188,189,189,188,188,188,188,188,183,159,143,142,140,136,134,129,127,114,106,125,157,175,181,183,185,185,186,187,188,188,188,188,188,188,188,188,181,164,142,149,149,138,127,113,105,106,135,163,175,178,179,181,183,184,184,185,186,187,187,187,188,190,191,193,181,165,141,154,153,134,117,101,94,125,163,173,175,177,179,180,182,183,183,184,185,186,186,188,195,201,203,203
4,153,156,158,160,163,165,167,171,173,175,179,179,179,182,182,183,184,184,184,184,185,186,186,186,184,184,184,184,157,159,162,164,166,168,170,173,174,176,180,181,182,184,188,192,178,175,186,187,187,188,188,187,187,186,186,186,160,163,165,168,170,171,173,176,178,180,183,187,177,192,224,216,159,120,167,184,186,190,190,190,189,189,188,188,163,166,168,171,173,175,177,181,182,191,213,208,157,134,177,197,145,96,101,130,135,171,193,192,192,192,190,189,166,168,171,174,177,179,187,182,163,208,227,216,161,106,89,165,139,91,73,113,104,114,192,194,195,194,193,192,169,171,174,177,179,186,223,209,160,164,166,208,168,115,64,125,158,117,78,126,129,104,187,196,196,196,195,195,172,174,177,180,181,210,219,208,196,169,120,166,186,131,50,127,186,147,108,123,139,121,178,200,199,198,197,198,175,179,181,182,189,227,203,166,162,135,90,108,180,126,59,156,184,141,103,96,109,109,141,201,201,201,200,200,177,181,185,186,192,233,220,184,164,151,135,97,133,107,80,129,153,127,108,104,100,99,118,177,206,202,201,201,180,183,186,189,191,223,221,201,174,151,136,109,105,118,114,128,150,134,129,112,91,119,126,132,202,205,205,203,182,186,188,192,193,218,220,196,166,136,116,105,109,128,134,150,162,155,146,125,126,157,150,120,166,208,207,206,184,188,191,195,195,224,225,198,169,134,112,103,113,126,143,163,178,185,200,210,198,184,163,139,122,195,209,209,187,190,193,197,198,226,233,205,175,140,114,108,115,130,156,187,186,211,220,214,202,181,151,121,95,159,213,211,188,193,196,198,199,223,237,210,186,155,121,110,113,133,171,191,190,211,211,202,186,165,139,112,92,120,210,214,190,195,197,201,203,224,240,217,196,166,134,116,118,135,178,196,206,215,215,200,178,157,135,109,93,107,206,216,192,197,200,204,205,225,243,224,204,174,146,129,128,134,174,202,216,218,214,201,175,150,124,104,89,126,216,219,194,199,202,205,206,223,243,230,213,183,155,147,141,138,171,205,218,218,214,200,168,139,114,98,88,172,223,221,196,200,204,207,209,219,239,236,223,194,168,160,153,146,178,202,216,219,214,194,161,129,109,93,103,210,224,224,198,202,206,208,210,215,234,238,230,205,181,170,160,152,183,202,209,217,205,180,150,124,106,87,142,226,225,225,201,205,208,211,214,213,227,237,231,210,191,177,165,157,177,205,207,205,188,162,138,118,103,90,189,229,227,227,205,209,209,213,216,216,217,231,226,211,193,181,169,155,157,194,201,188,169,145,127,114,97,116,222,229,229,229,207,210,212,215,218,220,211,227,228,214,193,182,172,155,143,181,197,183,159,134,115,110,93,171,231,229,230,230,210,212,215,218,221,224,212,229,233,216,193,181,175,157,142,171,188,173,148,122,106,94,134,223,231,232,231,231,212,214,217,220,223,225,216,232,232,209,186,178,175,155,139,163,174,159,129,109,91,129,214,234,233,233,232,233,213,216,220,222,224,226,220,234,229,202,182,182,179,161,142,152,156,143,113,96,111,210,235,234,235,236,234,223,214,218,221,223,225,228,216,232,234,205,193,195,186,172,145,139,138,132,105,88,175,234,235,236,229,200,152,113,217,220,223,224,227,231,216,232,240,212,206,211,190,176,144,128,127,127,97,103,216,234,235,195,126,81,63,56,219,221,223,225,228,231,187,227,245,227,224,221,193,175,143,125,126,126,90,129,232,236,183,99,70,48,45,41
4,178,179,179,180,181,179,179,179,180,179,177,178,178,176,173,175,177,177,172,171,171,170,170,169,167,166,164,164,180,181,182,183,183,184,182,182,182,180,178,180,178,182,185,173,159,162,176,173,173,172,171,170,170,168,166,166,183,184,185,185,186,186,185,182,181,187,196,194,172,149,186,215,180,125,115,186,179,176,171,172,172,169,169,168,186,187,188,187,187,188,184,188,192,153,186,206,176,112,84,178,176,117,64,121,152,158,179,175,172,170,171,169,187,187,188,189,190,183,202,217,179,123,84,177,155,99,55,125,145,90,65,49,102,95,114,180,172,172,171,172,189,189,188,190,190,189,232,224,164,123,62,157,145,97,47,100,130,91,59,60,97,75,54,171,178,174,173,173,191,191,189,193,189,201,226,218,177,190,88,114,181,154,46,76,159,132,65,77,107,73,54,167,180,177,175,173,191,192,192,194,191,201,231,194,203,221,115,82,211,161,49,58,178,140,61,84,156,111,70,170,182,178,176,175,192,194,193,195,195,194,232,208,194,162,91,66,147,120,62,57,107,116,30,80,195,127,92,182,181,180,177,177,194,195,195,196,194,200,246,236,205,166,126,102,70,66,71,94,148,157,78,70,141,100,126,191,181,180,179,178,196,196,197,201,191,219,253,222,187,169,146,133,114,130,138,158,199,150,105,77,74,48,162,190,184,181,180,179,198,198,198,202,192,232,239,196,159,132,144,213,175,183,202,166,177,136,125,91,75,67,174,189,185,184,183,181,198,201,201,202,197,243,238,199,169,139,137,206,177,181,192,179,160,155,152,107,62,56,171,191,183,185,183,181,200,203,203,201,205,254,239,205,174,145,118,137,147,143,160,139,132,186,176,125,75,49,165,195,185,186,185,184,203,204,205,199,215,255,232,207,170,127,114,101,82,86,134,94,114,199,191,135,92,52,153,200,188,187,186,186,205,206,207,201,225,253,233,207,157,126,128,120,96,123,201,195,150,197,205,134,103,53,141,202,187,187,186,185,206,207,209,201,229,251,234,203,155,133,141,122,102,206,233,214,197,171,192,143,114,66,120,205,188,190,188,187,208,208,210,203,235,251,224,176,154,153,143,107,169,240,234,216,187,177,151,132,110,72,132,205,190,191,189,187,210,209,211,205,240,246,210,174,185,154,123,126,233,242,235,210,176,158,137,107,96,65,173,199,192,191,189,189,211,212,209,217,248,239,206,193,190,148,109,182,247,235,218,196,170,143,126,100,74,79,200,194,195,193,190,189,211,210,222,162,230,243,205,195,196,138,149,214,244,220,200,184,163,134,109,91,48,141,207,195,195,194,192,191,212,220,199,64,103,223,215,200,188,125,164,213,229,203,190,176,148,118,97,69,75,201,198,197,198,196,194,192,218,214,95,70,60,84,176,195,159,120,142,206,208,186,171,157,131,104,83,48,162,210,200,201,201,198,196,194,229,129,61,71,72,57,69,118,121,100,127,170,184,166,151,135,113,90,50,105,214,201,202,202,201,200,197,195,157,73,79,63,58,66,60,52,58,86,115,137,157,142,129,107,91,57,64,203,209,204,204,203,201,200,197,195,75,75,74,60,58,57,56,64,41,47,80,102,121,103,86,78,59,48,178,216,206,208,207,205,203,201,199,198,79,73,60,59,54,56,53,57,55,9,26,40,57,57,42,37,44,168,221,206,209,208,208,206,203,202,201,199,72,65,58,58,52,51,48,49,62,26,3,20,19,20,23,0,102,231,208,211,211,209,209,208,205,203,202,200
3,100,111,119,121,126,133,135,139,143,146,149,151,152,154,155,154,158,149,156,156,157,158,158,157,157,157,158,158,101,113,120,121,129,136,137,141,144,147,151,154,155,156,157,155,184,122,133,163,157,158,158,157,156,156,157,158,103,115,121,123,131,138,141,145,147,150,154,156,158,159,161,158,196,130,99,167,162,161,161,158,159,158,158,157,106,116,121,125,132,140,144,148,151,154,157,161,164,164,165,159,202,142,83,173,156,162,164,162,162,161,160,159,109,119,124,128,136,143,147,151,155,159,164,164,166,170,170,176,180,126,80,194,132,138,173,165,165,164,164,164,113,123,128,130,139,147,149,154,158,165,162,168,177,154,186,221,183,171,127,177,153,98,179,169,169,168,168,168,116,125,130,136,144,150,154,156,157,155,185,215,210,155,108,137,187,201,163,107,154,93,134,184,173,172,172,171,120,129,134,140,147,153,155,187,184,154,189,166,182,192,163,54,97,147,92,75,130,129,92,147,183,175,176,175,124,133,136,143,152,153,183,188,163,170,140,89,83,173,186,91,98,104,72,136,142,141,103,107,190,180,181,179,126,136,139,147,155,162,199,134,79,136,80,72,47,65,103,68,81,61,54,166,178,177,117,108,193,183,185,184,128,137,142,148,158,167,203,151,90,145,118,110,78,89,75,54,61,63,60,170,207,193,126,111,197,186,188,187,132,139,144,152,163,166,208,169,120,157,176,152,124,109,95,90,80,75,64,150,210,193,125,117,200,188,191,190,135,143,146,156,167,168,205,192,164,146,146,111,113,122,121,129,102,115,107,143,207,187,114,115,203,191,194,193,138,145,149,158,169,173,211,195,150,130,127,113,120,130,148,143,154,174,198,196,181,157,103,111,206,195,197,197,141,148,152,162,171,175,214,195,145,120,116,123,128,144,162,172,197,202,210,196,154,116,100,107,207,198,199,199,143,151,155,165,174,176,212,207,166,131,116,135,136,151,185,192,202,209,207,179,134,102,84,123,214,201,204,204,147,152,158,167,177,178,209,223,184,151,122,121,135,167,195,199,212,217,202,165,121,94,71,184,212,206,206,205,149,154,159,169,180,181,202,228,200,173,142,120,136,164,193,207,222,216,188,147,117,71,119,221,207,210,208,207,150,156,162,173,181,185,197,229,215,187,159,139,139,153,186,213,220,209,173,131,102,67,183,217,209,211,210,208,154,157,165,175,183,190,195,224,223,202,170,160,155,151,181,211,211,193,155,118,80,95,219,211,210,210,214,219,156,160,168,176,186,192,193,210,220,216,189,174,164,149,190,198,203,171,133,104,62,154,224,211,220,226,208,171,158,163,170,179,188,195,197,197,213,217,201,184,171,146,181,191,179,148,112,81,78,216,227,217,187,131,73,41,160,164,173,182,190,197,201,195,202,210,202,190,171,146,145,178,156,126,100,60,157,225,150,91,51,34,34,32,163,166,175,184,192,198,202,202,195,210,203,190,173,148,131,156,150,116,85,94,186,90,38,31,35,31,33,26,166,169,177,186,194,200,202,206,195,213,200,182,167,140,127,139,135,108,77,95,79,41,49,24,23,41,27,20,168,171,178,188,195,201,203,206,200,211,181,162,160,139,132,128,119,108,79,41,27,39,58,27,5,33,38,14,165,170,178,188,195,199,203,207,194,214,195,174,177,158,137,127,111,108,68,43,29,14,50,41,2,15,42,30,166,171,180,189,197,201,204,212,188,210,213,193,196,163,141,128,108,105,61,39,40,6,23,50,15,2,27,39
3,71,20,42,67,85,94,104,113,120,125,130,133,136,138,140,143,144,146,149,149,137,151,156,158,160,161,161,162,65,17,46,70,87,95,105,114,121,126,130,134,137,139,141,144,146,148,151,157,113,134,158,159,160,161,162,164,56,18,50,72,88,97,106,116,122,127,131,135,137,139,142,145,148,149,155,165,113,122,160,160,160,162,163,164,47,21,54,74,89,99,108,118,123,128,134,137,138,141,143,145,149,150,158,163,108,122,160,160,161,162,164,165,38,24,56,77,90,100,110,119,124,129,134,137,139,143,145,146,150,152,163,162,108,129,161,162,163,164,165,167,29,29,60,80,92,101,112,120,126,131,135,137,141,144,149,151,141,144,168,150,105,129,163,164,165,166,167,168,21,35,63,82,94,103,113,122,127,132,136,140,143,136,157,175,148,119,155,132,99,132,165,165,166,167,168,169,16,40,66,84,95,104,114,123,128,132,135,160,175,147,130,154,159,115,132,125,92,143,167,167,168,168,169,170,14,44,69,86,96,106,116,124,128,134,143,157,167,170,134,117,157,136,141,119,92,155,167,168,169,170,171,172,16,49,71,89,98,108,118,124,128,152,183,160,120,133,142,104,142,144,144,115,91,155,167,168,169,171,172,173,19,53,73,90,100,109,119,126,129,160,170,157,134,112,139,124,86,87,139,127,104,124,167,170,171,172,173,174,23,56,76,90,100,109,119,126,130,165,149,114,135,127,118,134,84,78,128,155,140,100,150,172,172,173,174,175,28,58,78,92,101,110,120,126,133,170,137,90,94,93,97,101,98,100,112,156,145,100,148,173,173,174,175,176,32,61,80,92,103,111,121,125,136,169,140,123,106,85,95,100,115,112,120,163,143,101,159,174,174,175,176,176,36,64,82,93,103,112,122,126,144,176,154,127,101,88,102,118,131,119,136,176,143,106,168,174,175,176,178,179,42,67,83,94,104,113,121,125,146,177,144,113,93,94,110,132,139,140,162,177,133,111,172,174,175,176,179,180,47,69,84,95,105,114,122,126,148,175,142,115,99,101,117,141,150,172,177,169,124,111,173,175,176,177,178,179,51,70,86,96,105,115,123,126,148,179,153,123,106,103,120,147,171,189,173,150,117,115,176,176,178,179,179,180,54,71,87,97,106,115,123,127,147,181,158,133,111,110,123,160,188,189,169,132,101,128,177,177,178,179,180,180,57,72,88,98,107,116,123,128,145,182,166,140,117,116,129,173,189,182,165,126,89,138,177,176,178,180,180,180,60,74,88,98,107,116,123,128,140,175,165,143,130,123,136,180,188,175,157,119,85,150,177,176,178,181,181,181,62,76,89,98,107,117,123,128,135,163,165,151,144,133,140,175,181,167,149,110,89,163,177,178,179,181,181,181,64,78,89,98,107,117,123,128,134,153,168,160,152,143,137,162,168,153,136,103,103,173,178,178,179,180,181,181,65,79,90,99,108,119,124,128,134,151,172,164,154,141,132,147,154,143,133,94,127,178,177,178,179,180,182,182,65,80,90,99,108,119,124,129,134,154,181,165,150,133,127,138,141,139,128,97,155,177,178,179,180,181,182,183,67,80,91,99,109,119,124,129,134,161,185,164,150,134,131,140,135,135,111,112,173,176,178,179,180,181,182,182,67,81,91,100,109,118,123,129,134,170,186,172,157,138,141,147,133,125,98,137,176,176,178,179,180,181,182,182,67,82,91,100,109,118,123,130,135,175,188,182,154,140,148,147,129,109,91,153,175,177,178,179,180,181,182,182
20,154,155,156,157,157,157,158,157,158,158,158,157,157,157,156,155,155,153,151,150,149,147,145,144,142,141,139,138,157,157,158,160,160,160,160,160,161,161,161,160,159,159,157,156,157,156,154,153,151,150,147,145,144,142,141,140,162,162,164,163,163,164,164,163,164,164,164,164,163,169,163,118,158,161,157,156,155,153,151,150,148,145,144,143,165,166,168,167,167,167,168,168,168,168,168,168,167,172,172,103,123,146,162,158,157,156,155,153,152,149,147,146,169,170,171,171,172,171,172,171,171,172,172,172,171,175,173,99,82,102,151,165,161,159,157,157,154,152,150,148,173,173,174,175,175,176,176,175,175,175,176,176,174,181,169,85,109,119,123,171,165,163,162,161,158,156,154,152,176,177,177,179,179,179,179,179,179,179,180,180,178,186,169,87,132,139,101,173,170,167,165,164,161,159,158,156,180,181,181,182,182,183,183,183,183,183,184,183,180,196,173,95,137,149,98,171,173,171,169,168,165,163,161,158,184,184,185,185,186,186,186,185,186,187,187,185,184,204,158,89,148,166,102,165,177,174,173,172,170,166,164,163,187,186,187,187,188,189,188,188,189,190,190,188,188,211,147,92,167,165,98,161,182,177,176,174,173,170,167,165,190,190,190,192,192,192,192,192,191,193,192,176,164,189,155,104,175,165,94,157,185,180,178,177,175,173,171,170,193,194,194,194,194,194,195,195,195,194,196,202,188,160,136,103,150,169,109,155,186,182,181,179,178,175,174,171,195,196,196,196,198,198,198,197,197,197,196,183,196,178,150,124,131,164,115,148,190,184,183,182,181,177,176,174,197,198,199,199,200,199,200,200,200,200,201,171,129,164,182,123,87,118,101,138,193,187,186,184,183,180,178,176,200,200,201,200,201,200,201,202,202,202,204,183,80,133,178,134,84,73,77,126,197,189,188,186,185,182,179,177,201,202,202,201,202,202,202,203,203,203,205,180,94,107,165,161,113,95,68,108,199,192,190,188,187,185,181,179,203,203,203,203,203,203,204,204,204,202,196,176,136,96,92,146,142,120,75,87,199,193,192,190,188,186,184,181,204,204,204,205,205,206,206,206,205,201,193,182,165,126,83,112,138,124,84,72,194,197,195,193,190,188,186,183,206,207,207,207,207,207,207,208,201,190,150,141,169,149,101,92,123,153,116,69,173,202,196,194,193,191,187,185,208,208,208,208,208,208,210,209,198,193,161,95,110,149,91,72,99,158,145,84,113,205,198,196,194,192,190,188,209,209,210,210,210,211,211,211,200,186,154,110,72,115,86,69,121,177,171,108,72,192,202,198,195,194,192,189,211,211,211,212,212,212,212,213,200,192,180,135,82,101,108,94,178,195,164,104,74,194,203,200,197,195,193,191,212,213,214,214,214,214,214,215,200,194,193,138,103,107,159,180,206,175,147,80,95,206,202,201,199,195,193,191,214,214,215,216,216,215,215,217,201,190,188,152,114,107,189,214,195,154,129,68,132,210,202,202,200,197,194,193,215,215,215,216,216,216,216,219,204,179,174,154,118,106,182,195,174,138,108,66,168,209,203,201,201,199,195,195,213,214,215,215,215,216,216,218,208,178,172,155,127,114,176,189,161,123,89,72,197,207,203,202,200,199,198,200,215,215,216,216,216,217,217,218,217,185,170,158,141,115,167,181,146,103,64,117,212,205,203,201,200,200,188,142,216,216,217,217,216,217,218,219,220,194,177,159,138,112,137,151,115,79,54,179,211,206,204,202,193,149,93,48
6,189,190,189,189,189,189,190,189,190,188,188,187,186,186,185,186,184,184,183,182,180,180,180,179,177,177,175,173,191,191,191,191,191,191,190,191,191,189,189,189,187,188,188,186,185,186,184,184,182,181,181,180,179,177,177,175,193,193,194,193,193,193,192,193,192,191,190,191,190,189,189,187,187,187,186,185,184,182,182,181,180,179,178,176,194,195,196,195,194,194,194,193,193,194,193,192,191,190,189,188,189,187,186,185,185,184,183,181,179,179,178,176,195,196,197,196,196,196,195,195,194,194,194,194,194,192,191,192,191,188,187,187,186,185,184,182,181,180,180,179,195,198,199,198,199,199,198,197,196,196,194,194,195,192,192,193,192,190,189,188,188,186,185,184,183,181,180,180,197,199,201,201,201,200,199,199,199,196,195,194,195,194,194,194,193,192,191,190,190,188,188,188,185,183,180,180,199,201,202,201,201,201,200,201,201,203,202,201,197,198,198,199,197,194,192,189,187,183,174,171,181,182,184,181,201,203,203,202,202,201,203,201,196,185,180,185,186,175,165,161,153,164,166,165,156,158,136,150,196,168,169,184,202,203,205,206,204,205,195,179,170,152,139,133,135,161,151,139,128,138,161,164,152,150,143,143,175,134,166,188,203,205,209,206,195,183,158,153,161,159,158,136,83,119,144,141,109,128,130,126,117,99,101,110,127,157,186,184,207,204,193,178,167,159,153,148,153,162,154,107,70,56,73,76,78,95,105,120,125,145,159,171,184,191,187,185,190,179,167,161,154,150,147,139,144,152,141,102,65,55,61,92,127,164,190,195,199,202,200,197,194,189,188,187,181,176,167,157,151,152,150,145,145,148,151,132,80,44,125,208,205,207,201,199,197,196,196,194,193,191,189,187,191,177,167,158,154,153,152,146,146,149,152,129,80,53,76,206,203,201,200,200,198,198,199,195,193,193,191,190,178,170,167,160,153,153,151,153,148,149,148,134,82,61,45,161,214,202,203,202,200,199,198,197,194,194,193,191,169,167,165,157,156,154,154,154,156,158,157,144,94,61,47,108,216,202,204,202,201,200,199,198,196,194,193,192,180,158,155,159,165,160,154,147,142,144,145,126,88,62,54,59,204,208,204,203,202,201,201,199,197,194,194,193,173,151,153,163,167,166,152,146,139,137,129,107,87,69,49,95,211,206,205,204,204,202,202,200,199,196,195,195,148,139,155,161,158,155,147,137,129,137,126,93,87,79,49,183,216,206,205,205,206,205,203,201,199,199,196,194,105,122,139,153,146,137,127,117,108,107,93,83,82,86,52,189,213,207,206,206,205,203,203,201,199,197,196,193,45,72,99,129,126,112,103,96,88,66,50,67,91,90,43,172,216,206,207,205,204,203,202,201,198,196,195,193,41,20,26,56,80,83,68,63,64,56,55,80,86,72,64,194,212,208,208,206,205,203,202,201,199,197,195,194,45,30,6,12,12,34,91,121,99,68,66,89,103,159,195,211,208,209,207,207,206,205,202,202,202,199,196,195,40,38,9,15,0,128,231,222,212,177,157,170,205,219,215,210,209,209,207,207,206,205,203,202,201,199,196,194,37,40,12,2,35,217,219,214,218,222,223,221,216,211,212,211,210,209,208,207,205,204,203,202,203,207,209,206,43,35,9,0,147,229,213,216,217,215,214,213,214,214,213,212,210,209,209,212,213,213,208,203,196,163,134,136,44,21,0,72,232,214,217,216,216,216,215,215,213,213,213,211,211,211,209,183,148,133,115,93,72,43,26,25
24,90,96,103,113,121,126,130,134,139,141,145,146,148,149,149,149,148,147,146,146,144,141,140,140,139,136,133,132,92,97,106,117,125,130,134,138,142,146,148,151,153,154,154,154,153,152,151,151,150,148,146,145,143,141,138,137,95,99,109,120,127,133,137,141,145,149,152,155,157,157,157,158,157,157,156,156,155,152,151,150,149,147,144,142,96,102,111,122,129,135,140,143,148,152,156,158,159,159,161,161,161,161,160,159,158,156,155,154,153,151,148,146,98,103,112,125,133,138,143,146,150,155,158,161,163,163,164,164,163,163,163,162,162,161,159,159,158,156,153,151,100,105,122,130,135,141,145,149,153,157,161,164,165,164,165,167,166,166,165,165,164,164,163,163,162,161,158,155,99,120,129,97,142,143,147,151,155,159,163,165,167,167,168,169,168,168,168,168,167,167,167,166,165,164,162,159,99,130,118,61,140,145,148,153,158,162,165,167,166,169,170,171,175,171,169,171,169,168,170,170,167,165,164,163,100,136,118,56,135,148,151,156,161,163,166,169,175,173,174,151,126,169,173,169,171,173,171,167,173,169,166,163,102,141,107,51,134,151,152,155,158,168,167,168,136,153,200,151,84,97,177,174,167,149,135,96,111,176,168,172,104,135,102,50,133,151,161,145,107,142,183,175,101,73,135,160,116,66,153,165,152,123,81,54,141,188,168,139,105,135,115,52,126,152,176,173,139,117,168,177,119,83,73,160,132,82,105,131,162,96,62,139,156,105,44,20,107,137,130,62,109,157,169,196,186,147,106,177,143,115,76,143,134,77,59,150,135,60,53,64,26,7,14,10,112,129,148,110,115,148,168,166,195,170,109,121,169,122,69,94,114,55,87,167,92,44,16,8,22,26,21,18,114,118,159,141,133,152,169,128,149,174,113,64,162,143,80,38,51,59,138,141,64,21,13,11,7,24,21,13,116,118,148,160,155,174,175,154,128,146,109,49,134,158,88,26,32,114,146,108,43,2,7,20,3,12,22,19,117,123,139,184,163,148,154,140,112,125,116,70,83,117,59,51,83,118,115,77,22,15,0,11,14,4,13,23,116,126,135,182,165,131,143,129,93,99,119,96,68,66,112,138,127,125,88,51,0,17,8,0,10,6,8,17,117,127,136,172,174,115,104,115,99,101,119,130,108,126,190,175,145,134,74,34,0,1,21,2,0,8,6,8,83,90,86,127,177,130,90,104,140,110,154,184,164,187,196,168,143,126,63,33,0,0,15,18,3,5,0,5,72,75,68,92,183,159,111,89,128,126,166,183,190,201,188,158,135,111,53,22,4,0,2,19,12,9,0,0,77,79,79,81,168,172,133,101,102,132,153,189,196,192,173,147,125,103,48,2,14,0,0,14,13,14,5,0,78,80,82,75,149,180,152,119,101,126,141,187,195,183,162,137,116,101,51,0,17,0,0,5,15,11,7,2,77,79,82,72,126,182,163,132,116,125,131,176,189,170,153,134,108,93,49,0,13,0,0,0,13,8,6,5,76,78,80,75,98,174,166,144,125,130,123,162,181,161,150,133,95,82,42,0,8,10,0,0,8,9,2,3,76,77,78,79,77,150,166,153,134,137,121,140,169,155,153,126,82,73,25,0,4,13,0,0,0,12,0,0,76,77,77,79,74,103,168,161,144,138,125,119,149,148,141,114,75,66,15,0,0,15,3,0,0,7,1,0,75,76,76,77,79,74,138,165,148,137,122,106,118,133,119,97,73,54,1,0,0,10,7,0,0,0,7,0
15,76,84,93,98,99,102,107,112,117,120,123,126,129,131,134,137,139,142,144,146,148,149,150,151,152,153,154,155,78,85,93,98,100,101,107,114,118,121,124,127,130,132,135,138,139,143,145,146,148,150,151,151,153,154,155,155,79,86,93,98,100,102,108,114,118,122,126,128,130,133,136,139,140,143,146,148,149,151,152,153,154,156,156,157,79,87,95,98,102,105,110,114,119,124,127,129,131,134,137,139,142,145,147,149,151,152,154,155,156,156,157,157,80,88,95,100,101,104,109,113,119,122,126,130,133,136,140,142,144,145,148,150,150,152,155,155,157,158,158,159,80,87,103,126,107,106,112,111,117,124,124,123,122,126,130,138,143,146,149,152,154,155,154,155,157,159,159,160,82,89,106,126,103,98,105,110,122,127,131,134,137,131,123,124,124,131,140,138,140,149,160,157,156,159,159,161,84,91,100,96,77,81,90,96,112,123,128,143,149,137,135,133,139,138,134,140,124,113,124,155,161,157,161,161,84,92,99,101,103,105,102,100,103,111,113,129,148,151,148,147,148,154,147,137,148,131,94,88,147,165,160,161,85,93,98,101,104,110,117,122,125,126,125,122,117,128,146,164,148,126,152,127,134,153,95,87,80,149,166,161,85,93,99,102,103,108,114,120,124,126,134,135,102,88,94,112,139,118,119,115,133,162,85,96,108,85,157,163,85,93,99,101,104,109,114,119,124,122,155,133,97,87,89,102,128,121,89,90,119,137,92,90,130,91,93,171,85,93,99,101,104,110,115,119,124,122,166,135,82,90,107,124,136,120,96,94,93,90,94,103,115,96,57,124,85,94,100,100,104,110,115,120,124,130,160,168,115,105,117,125,128,111,98,98,98,95,95,108,117,95,60,60,85,95,100,101,105,110,116,121,120,150,166,163,165,137,94,82,91,87,83,86,94,101,108,115,120,105,69,56,86,95,101,102,105,111,116,122,124,148,171,159,156,160,135,80,40,50,45,50,67,91,114,113,108,97,70,64,87,95,100,102,105,111,116,122,125,133,164,169,145,142,163,135,44,32,32,35,37,58,102,107,99,89,77,73,85,94,99,101,105,110,116,122,123,129,156,159,155,132,154,110,51,36,33,41,35,55,105,115,113,106,97,85,85,92,97,100,103,108,113,119,120,141,168,154,139,131,129,81,50,37,35,43,40,52,95,114,117,114,107,94,65,68,72,73,75,77,78,82,85,93,148,172,152,118,116,111,55,37,42,42,52,58,72,97,107,109,106,95,65,67,68,67,69,70,70,68,68,67,89,121,129,126,116,109,74,45,44,43,51,62,63,80,94,100,99,92,70,70,71,72,73,74,75,75,75,79,78,77,80,86,81,78,78,51,45,40,46,61,67,72,94,99,95,86,71,71,70,72,73,74,75,75,75,77,79,79,79,78,87,87,94,75,66,63,65,71,71,69,90,97,90,83,71,72,73,73,72,73,74,74,75,76,77,77,78,77,78,98,112,111,117,107,93,108,109,98,97,100,87,79,70,71,72,74,73,73,75,75,75,77,78,77,77,79,79,75,80,111,128,115,130,141,140,137,121,113,99,77,70,71,71,72,73,74,76,76,76,77,79,80,78,78,80,81,78,82,91,107,138,152,144,139,125,107,94,83,70,70,71,72,72,74,74,75,76,76,78,79,78,78,78,80,80,79,78,83,96,108,127,113,101,92,89,100,70,70,71,72,73,74,75,74,75,76,76,76,77,77,78,79,80,81,81,80,77,78,102,91,98,110,108,95
3,154,157,159,161,163,165,166,167,168,167,168,167,166,166,166,166,164,162,164,161,160,160,159,157,156,154,152,151,157,159,161,163,165,167,168,169,170,170,170,169,168,168,167,166,172,164,148,165,161,161,160,159,157,156,155,153,158,161,163,165,168,169,170,171,171,171,171,171,171,170,170,166,185,166,109,160,166,163,162,161,159,158,156,155,160,162,165,167,169,171,172,173,173,173,172,172,173,172,172,168,184,165,104,145,170,165,164,163,161,160,158,156,162,165,167,169,171,172,174,175,175,174,174,174,174,174,174,169,183,167,107,142,173,165,166,165,163,161,159,158,163,166,168,170,172,174,175,177,177,176,176,176,176,175,174,171,184,188,123,133,174,168,168,166,164,162,160,159,164,167,169,171,174,175,177,179,179,179,178,178,178,177,176,172,187,195,127,120,174,170,168,167,166,164,162,160,165,168,171,174,176,178,179,180,180,180,180,180,180,179,179,175,189,189,121,115,174,170,170,169,167,165,163,161,167,170,173,176,178,180,181,182,182,182,181,181,181,181,180,175,196,195,128,116,175,172,171,170,168,166,164,162,169,172,175,178,180,181,183,183,184,184,184,183,182,181,180,177,174,169,126,113,175,174,173,172,170,167,166,164,171,174,178,180,181,184,184,186,186,186,186,185,183,181,190,194,135,104,96,108,180,174,175,173,171,169,167,165,172,176,179,181,184,185,187,187,188,187,187,189,194,182,145,154,176,134,82,128,189,179,176,174,173,170,168,166,174,178,181,183,185,187,189,189,191,188,191,164,179,182,125,102,196,143,111,112,140,158,178,175,173,172,169,167,175,180,182,185,186,188,190,192,191,195,201,154,116,168,153,112,162,145,126,111,132,114,155,181,173,172,171,168,177,181,184,186,188,190,191,192,194,211,198,180,133,142,164,108,126,158,146,125,137,100,140,185,175,174,171,170,179,183,186,187,189,191,194,191,205,198,192,189,141,119,151,106,123,131,110,126,121,91,136,188,177,176,173,171,180,184,186,190,191,192,195,193,215,204,172,176,143,104,134,105,125,171,100,137,146,96,127,189,178,178,174,173,181,185,187,191,192,194,196,196,203,188,158,166,124,92,132,91,123,200,112,120,157,99,106,187,179,179,176,174,182,186,189,191,193,196,197,197,201,207,187,163,120,110,128,105,102,155,118,123,135,95,101,185,181,180,177,175,183,187,190,191,195,196,198,198,208,212,199,165,123,111,137,125,156,186,156,141,112,83,141,192,181,181,179,178,182,187,190,192,195,196,199,198,206,215,206,170,136,119,124,172,193,172,138,122,107,89,182,187,184,182,180,179,181,186,190,193,196,196,198,198,202,213,201,168,164,127,146,204,181,148,129,118,98,125,195,183,184,181,180,178,181,187,191,193,197,198,199,199,204,207,196,178,168,140,142,175,166,138,125,108,91,171,191,185,184,182,179,177,183,188,192,195,197,199,199,209,129,169,200,179,166,146,123,141,138,122,109,92,147,197,188,186,184,183,184,185,183,187,191,194,196,197,202,194,82,95,172,176,166,130,107,107,110,111,93,144,198,189,192,195,194,188,164,125,186,192,195,198,200,201,213,146,82,84,91,127,134,100,98,95,99,86,82,195,200,197,178,150,138,111,78,65,149,150,153,154,154,155,153,102,87,84,77,74,81,98,97,82,79,62,35,98,133,106,75,57,53,52,58,63,122,123,124,124,122,123,106,88,94,79,79,75,73,62,56,56,52,48,41,52,58,50,53,55,60,59,52,56
5,181,182,184,185,187,188,188,188,188,188,187,188,187,185,187,185,186,184,184,183,181,180,179,178,177,176,176,174,184,185,186,187,189,189,189,190,189,189,189,187,191,189,187,187,187,187,185,184,182,182,182,180,179,178,176,176,184,187,188,189,190,191,190,190,192,191,191,199,162,183,191,189,189,189,188,186,184,183,183,182,181,179,178,177,187,188,189,191,192,192,193,196,194,192,195,208,133,159,197,190,190,189,188,186,186,185,184,184,182,182,181,179,189,190,190,192,191,199,194,165,200,192,203,204,120,161,198,191,192,190,189,189,188,187,187,185,184,183,181,179,190,191,192,195,191,213,179,127,199,193,206,180,113,183,199,194,194,193,190,191,191,189,188,187,186,185,183,181,191,193,195,194,197,219,144,133,204,197,197,160,121,199,197,197,195,191,202,169,177,194,189,189,188,186,185,183,193,194,197,194,210,197,108,178,207,191,178,143,133,203,199,195,193,205,196,128,156,200,191,191,189,188,186,186,194,195,198,194,225,192,111,199,205,179,165,117,158,209,184,184,190,174,126,133,190,196,194,193,191,189,187,187,196,197,198,198,236,180,114,201,200,172,154,108,188,166,171,193,146,109,149,194,198,195,195,194,192,190,189,188,197,199,200,205,234,150,114,214,179,176,158,120,140,134,158,143,112,165,208,198,197,196,196,195,193,191,190,189,198,200,203,203,227,203,118,178,167,166,141,109,112,126,104,124,178,205,200,200,198,197,196,196,195,193,191,189,200,203,206,203,222,222,148,119,137,141,116,102,126,114,123,203,207,201,201,201,199,198,197,197,196,195,193,191,203,204,207,206,215,221,189,143,128,132,109,100,126,116,187,213,204,203,202,202,201,199,199,198,197,196,194,192,205,206,208,209,210,240,222,175,128,116,116,113,110,176,207,189,193,207,208,206,204,202,201,199,198,197,195,194,206,208,210,211,211,240,221,168,123,109,107,117,118,156,156,165,171,175,186,192,198,206,203,200,200,198,196,195,208,209,211,212,218,238,211,161,112,103,101,117,123,131,164,169,197,190,188,192,193,157,193,205,201,199,198,196,210,210,213,210,227,238,219,170,119,97,98,117,126,122,140,116,151,174,170,185,183,140,179,210,201,200,199,198,210,212,214,212,238,233,216,163,124,100,97,108,108,102,123,127,181,183,166,183,209,163,156,212,202,201,199,198,211,215,212,224,237,225,212,159,124,97,90,101,92,168,218,212,221,216,208,215,178,127,201,209,205,203,201,198,213,215,213,238,230,226,210,160,116,95,94,109,116,127,193,227,209,180,183,195,114,161,220,206,207,205,203,201,214,214,220,243,227,223,202,142,110,92,105,113,122,128,133,171,178,190,183,152,86,194,216,209,208,206,204,203,216,210,241,239,221,222,186,130,110,99,125,140,149,145,129,140,174,182,165,105,118,213,214,212,210,208,206,205,216,126,156,230,232,208,171,131,110,113,136,149,151,138,133,135,164,144,111,147,212,216,214,214,210,209,207,205,143,95,91,122,197,199,165,138,111,120,144,141,135,119,130,119,103,121,187,224,217,215,216,214,210,209,208,206,104,99,97,89,95,132,149,119,98,107,131,128,119,111,103,92,141,216,226,218,218,217,216,214,213,210,209,208,108,95,90,94,89,85,74,69,73,81,94,105,99,88,146,204,230,223,220,221,221,219,217,215,213,211,209,209,97,90,89,88,83,89,64,52,62,62,65,69,82,167,234,229,224,223,223,222,221,220,218,215,214,212,210,209
2,174,173,175,174,174,175,175,174,174,173,173,173,173,173,171,171,171,170,169,168,168,168,168,103,61,63,61,62,177,175,177,176,176,177,177,177,175,176,176,177,174,175,175,169,173,173,173,172,172,170,172,130,64,66,56,65,179,179,180,179,179,180,179,180,180,180,180,179,179,182,169,118,122,158,149,175,175,173,175,149,68,53,42,63,182,182,183,184,183,183,184,183,183,180,183,185,182,153,113,87,69,100,85,146,175,175,175,164,82,38,44,69,185,185,186,187,186,186,187,186,184,192,198,186,119,85,71,66,63,74,67,69,150,181,178,179,106,31,36,60,188,188,189,188,188,188,187,187,189,201,188,134,75,63,59,55,51,58,64,61,147,183,180,182,132,107,80,50,190,190,191,192,191,192,190,186,197,206,132,77,56,51,58,54,47,54,57,81,170,185,182,182,160,117,166,151,193,192,192,193,193,193,192,187,209,188,104,66,56,49,51,57,66,93,132,170,186,186,186,187,143,125,196,173,195,195,195,194,194,195,193,195,211,158,92,63,69,59,63,73,143,190,192,191,187,187,186,190,151,150,188,128,196,197,197,197,196,196,195,210,196,136,80,59,66,61,88,163,195,193,192,193,191,190,189,189,178,162,125,120,198,198,198,198,200,197,200,218,186,131,90,72,59,65,144,204,196,195,194,194,193,192,191,190,189,179,129,178,201,200,199,200,201,198,213,222,174,122,89,82,66,66,169,202,198,196,196,196,194,193,192,193,191,186,178,168,202,201,200,202,202,199,226,212,161,108,83,79,74,88,197,201,200,198,197,196,195,194,195,194,194,189,186,190,202,202,202,203,199,203,230,198,154,106,79,72,73,115,207,202,201,200,199,198,198,197,197,196,195,193,185,167,204,204,204,203,194,219,223,186,142,100,80,73,72,124,209,202,202,200,201,200,200,198,198,198,197,197,197,160,207,206,207,202,203,230,211,173,131,93,79,76,67,147,212,202,202,202,202,202,202,200,200,199,200,199,196,194,206,206,207,195,215,230,202,162,120,91,74,67,63,121,208,206,206,204,204,205,201,187,175,165,161,180,199,197,207,208,208,195,228,224,192,152,113,90,66,64,73,74,130,212,211,207,195,175,158,162,157,146,129,103,181,200,207,210,199,211,231,217,182,141,107,87,57,65,78,83,80,146,176,160,151,161,161,154,137,121,127,131,185,201,210,207,197,229,228,208,168,132,100,80,54,80,89,99,101,99,109,135,159,161,142,110,110,165,201,205,203,201,212,202,218,233,223,198,160,126,96,78,63,93,105,111,110,110,118,134,136,119,107,117,188,210,205,204,203,202,202,212,229,223,213,190,150,113,90,79,76,100,113,115,113,105,104,105,108,147,188,205,209,208,207,206,205,203,200,219,225,217,207,176,136,103,89,79,92,110,118,113,101,92,86,130,195,213,212,209,208,208,207,207,206,206,212,218,217,202,180,147,115,95,88,82,99,109,112,98,88,112,166,212,217,213,211,210,211,210,208,207,206,206,210,211,198,177,156,131,106,93,86,90,97,103,100,84,136,209,218,215,215,214,211,211,212,210,209,208,207,206,209,199,176,152,142,115,98,92,92,93,91,89,95,152,215,218,217,215,215,215,214,214,213,211,211,211,209,208,202,189,158,125,113,93,90,95,93,90,90,133,193,221,217,217,217,216,216,216,215,215,215,214,213,211,211,203,195,177,141,107,87,85,91,94,86,127,182,219,222,218,219,218,217,217,217,216,216,216,215,215,214,213,212,182
21,166,170,172,174,176,178,180,183,185,187,186,187,186,188,188,188,189,189,187,188,188,188,189,188,186,186,185,183,168,171,173,176,178,180,183,185,186,188,187,195,201,173,186,192,192,191,190,190,190,190,190,190,189,188,187,186,170,173,176,178,181,183,186,186,188,190,190,206,225,169,164,194,194,193,194,193,193,193,192,192,192,191,190,188,172,175,177,180,183,185,187,189,191,193,194,196,229,193,146,187,197,195,196,195,195,195,194,196,187,180,191,190,173,176,179,182,184,186,189,191,193,195,196,195,216,219,170,171,198,197,198,197,197,197,197,212,175,146,192,193,174,178,181,184,185,188,191,194,195,195,196,196,204,237,202,160,191,200,200,200,200,198,204,219,165,147,195,193,176,180,183,185,187,190,193,195,197,197,198,199,200,235,218,163,175,201,201,200,200,199,217,213,152,166,197,195,178,181,184,186,189,192,194,195,197,199,199,200,199,224,228,176,159,202,202,202,202,205,228,201,147,186,200,199,180,183,186,188,192,194,195,197,199,200,201,202,202,218,227,193,151,196,205,204,203,216,220,180,146,198,201,200,181,185,188,191,193,195,197,199,201,202,203,203,214,239,224,196,139,163,205,205,208,228,209,153,164,204,202,201,183,186,189,192,195,197,199,200,201,203,204,211,220,237,226,198,160,140,188,207,217,228,199,144,192,206,204,202,184,187,190,193,196,199,200,201,202,205,210,239,218,212,235,215,205,188,161,182,205,208,169,154,207,206,205,204,186,188,192,195,198,200,201,202,205,206,217,229,225,205,192,197,228,212,155,132,165,168,138,179,210,207,207,206,187,190,192,195,199,201,202,204,206,206,219,219,192,156,115,125,201,215,168,124,131,135,132,201,210,208,208,207,188,191,193,197,200,202,204,207,208,207,223,212,163,152,129,119,159,226,194,139,113,115,142,210,211,210,209,208,189,192,194,198,200,203,206,208,209,209,229,224,203,178,143,142,146,224,216,158,113,105,157,215,213,212,211,210,190,193,197,200,202,205,207,209,210,211,239,237,198,168,149,162,166,230,234,182,128,103,162,217,213,213,213,213,192,195,198,201,203,206,207,209,212,213,242,225,181,164,167,182,196,246,237,195,145,109,159,218,213,214,213,213,192,194,198,201,204,207,208,210,212,215,241,229,199,188,188,195,222,253,232,194,150,111,158,218,214,214,213,213,190,194,198,201,204,207,208,209,212,212,242,239,211,195,199,209,238,254,229,188,156,114,157,219,215,215,214,214,193,196,199,201,205,207,208,210,213,212,240,247,222,199,205,220,248,252,232,190,155,117,161,219,216,215,215,214,194,198,201,203,206,207,209,212,214,213,237,250,227,209,209,230,252,244,225,186,152,115,165,221,218,217,216,216,195,198,201,203,206,208,211,213,216,217,233,251,233,226,219,234,253,240,218,185,146,113,160,223,220,219,218,218,195,199,201,206,207,210,213,215,217,218,226,249,241,238,232,230,245,228,208,182,140,110,157,224,221,221,220,220,196,199,202,206,208,211,215,216,218,219,220,241,246,242,233,223,229,212,196,177,135,106,164,226,223,222,222,216,187,191,195,198,202,206,209,211,213,214,214,230,249,241,221,203,209,203,186,179,130,100,185,227,225,224,202,156,139,141,144,147,149,151,155,156,156,156,159,178,242,230,203,179,187,201,181,175,121,95,165,183,184,182,134,108,112,113,114,114,113,115,117,117,115,117,106,103,221,213,185,169,181,201,172,165,108,77,97,114,122,122,99,95
0,176,174,175,175,176,175,175,173,175,176,176,176,175,174,173,173,172,171,171,170,167,166,166,166,164,161,161,161,180,179,178,178,179,179,179,178,178,178,178,177,178,177,175,175,174,172,173,172,171,169,168,169,166,165,164,162,182,182,181,182,182,182,182,182,181,179,179,179,179,178,178,177,176,173,174,172,172,170,171,170,167,165,164,163,182,182,182,183,182,182,182,182,182,181,182,182,180,179,180,179,177,177,177,173,173,173,171,171,171,169,168,165,183,183,183,183,183,182,182,183,183,183,184,184,183,182,182,185,180,179,183,181,175,174,174,174,172,171,170,169,186,185,186,184,183,184,183,183,184,184,184,184,182,184,176,157,178,187,159,154,183,146,141,181,172,172,171,171,186,186,186,186,185,185,184,184,185,184,185,188,191,180,133,85,82,139,107,72,100,151,73,173,176,174,173,169,187,187,187,187,187,187,188,188,190,193,188,161,130,145,128,93,36,45,114,75,30,149,73,125,192,171,175,171,188,188,189,189,188,188,186,187,164,164,174,136,68,42,123,103,71,56,116,83,33,121,114,42,161,184,173,175,189,190,191,190,190,190,185,171,121,63,148,130,82,27,112,113,87,53,124,88,23,85,131,58,52,160,180,174,190,190,191,190,190,191,172,163,130,70,129,139,97,43,105,122,75,49,131,91,16,35,137,100,38,73,195,172,191,191,192,191,193,187,156,153,144,96,108,150,95,47,79,125,71,30,100,73,6,38,144,111,27,85,196,174,194,194,193,193,193,180,140,129,144,106,88,140,89,44,57,123,70,0,23,22,0,99,153,102,13,147,188,177,196,194,191,193,192,174,163,113,122,101,51,118,97,56,15,53,24,0,0,0,51,146,145,67,43,190,179,182,196,196,194,194,189,165,139,76,86,51,0,76,87,47,0,0,0,48,102,81,122,147,120,29,103,198,179,182,196,197,196,199,184,163,149,103,63,19,0,6,33,0,0,14,101,149,145,129,104,129,90,3,158,192,182,183,197,198,197,201,182,167,164,134,85,60,39,42,54,60,89,132,156,147,137,131,83,81,42,18,194,186,185,183,198,198,197,201,179,167,174,141,106,81,67,81,116,148,160,164,165,150,129,115,62,41,0,115,202,185,186,183,198,198,197,201,181,159,174,146,115,77,79,90,149,165,168,171,163,136,114,96,49,0,69,201,187,188,188,186,197,198,197,199,187,147,164,149,123,93,88,111,167,171,167,170,149,118,93,74,2,36,197,190,189,189,190,187,196,198,197,197,197,151,159,157,131,117,101,129,164,170,168,154,123,104,78,33,2,176,195,189,188,189,188,186,198,198,197,197,204,162,145,159,147,130,103,133,160,161,157,134,101,82,54,0,133,202,185,190,188,188,186,184,198,199,199,197,201,181,139,154,145,125,102,123,150,141,130,106,77,57,0,84,207,188,191,190,188,187,186,185,199,198,199,199,200,197,148,149,135,115,102,114,138,124,106,80,52,0,46,201,193,194,191,189,190,189,189,187,198,197,198,200,201,194,156,150,126,107,102,107,130,115,83,62,0,37,195,196,193,195,193,191,191,190,189,188,197,197,197,197,200,184,155,146,135,131,125,113,121,109,69,24,2,187,200,194,195,195,193,192,191,190,188,187,202,202,202,201,205,160,154,157,150,144,130,116,115,92,48,0,95,214,192,198,196,195,196,193,193,192,188,185,155,160,164,168,172,141,158,168,156,142,130,118,97,63,33,0,153,202,196,197,197,196,194,193,192,191,188,186
18,111,113,115,116,119,122,126,129,131,134,137,138,139,142,142,144,146,145,146,147,147,148,148,149,148,148,148,147,112,114,115,117,120,123,127,129,133,136,137,138,140,141,142,144,146,146,148,149,149,150,150,149,149,149,148,148,112,115,117,117,120,125,129,132,135,136,138,140,142,143,144,146,147,147,148,149,150,150,149,152,151,150,149,149,112,115,117,118,121,125,129,133,136,137,139,141,142,144,145,147,148,147,148,150,150,152,150,113,151,150,150,150,114,116,118,119,123,124,129,134,136,138,140,142,144,146,147,148,148,148,150,151,148,166,153,78,100,164,155,150,116,117,118,119,124,127,131,134,137,139,142,143,144,147,148,148,148,149,151,157,141,159,157,101,72,109,140,156,116,118,119,121,125,129,132,136,138,140,143,144,145,148,151,148,154,133,108,131,138,133,170,139,108,73,69,109,116,119,120,122,125,129,133,136,138,140,142,144,146,147,133,152,165,125,112,69,117,134,169,151,116,107,104,71,116,119,120,122,125,129,133,136,140,142,143,140,153,155,115,89,149,137,122,76,96,133,142,147,132,118,105,87,118,119,121,123,126,130,134,137,141,144,143,146,168,157,138,78,122,155,117,85,63,125,100,97,132,128,105,93,118,120,122,125,128,131,135,139,142,144,142,171,181,161,143,98,93,155,119,91,49,93,86,52,156,150,118,99,119,122,122,125,129,133,136,140,143,145,148,171,180,169,142,107,71,143,113,81,39,48,65,52,146,162,128,97,119,122,123,125,130,133,137,140,144,140,159,184,169,152,144,104,59,105,90,67,44,28,37,28,138,158,135,98,119,122,124,126,130,134,137,141,144,145,178,176,161,128,109,79,55,80,73,65,28,24,84,75,153,163,126,97,121,123,124,126,131,134,138,143,140,160,186,152,144,124,67,60,55,76,85,56,53,138,160,126,124,145,110,91,123,124,125,127,132,137,140,144,142,157,197,174,136,102,76,78,51,101,113,99,161,166,150,133,90,122,98,88,123,124,125,128,133,137,141,144,145,155,196,179,150,102,95,94,53,108,137,169,172,149,128,134,95,98,103,84,122,125,126,129,133,138,142,146,143,163,197,181,159,133,117,118,93,105,182,175,154,135,120,126,120,84,99,73,123,126,126,130,134,138,142,147,144,169,196,176,142,133,112,100,119,181,179,159,143,134,129,126,124,89,81,64,124,126,127,130,135,139,142,147,144,174,194,168,144,134,113,110,155,187,172,151,145,143,121,122,116,86,64,48,125,127,127,131,136,140,143,146,145,177,189,168,145,148,116,146,160,172,163,143,145,130,105,121,105,75,56,29,126,128,128,132,136,140,144,148,146,177,185,170,162,151,122,136,155,152,152,134,133,115,110,118,87,66,36,77,126,127,129,132,137,141,144,148,148,173,182,168,168,142,119,113,140,138,138,131,124,111,109,90,68,48,45,158,125,127,129,133,137,142,146,149,148,173,183,172,165,131,98,119,128,136,138,128,121,104,88,61,54,29,125,176,126,128,129,134,138,142,145,150,150,168,178,173,144,108,100,127,126,138,139,128,109,96,74,61,35,76,178,166,128,128,128,133,138,142,144,149,150,171,166,156,143,135,133,130,126,143,134,117,93,84,69,47,38,157,172,167,127,128,130,133,138,146,151,148,153,184,179,173,170,159,145,128,119,138,126,106,84,71,57,36,135,177,167,170,127,129,131,135,143,126,115,144,161,186,178,178,168,154,134,127,117,130,119,98,80,66,38,102,184,168,171,171
16,193,193,193,193,194,194,195,195,195,196,195,195,195,196,196,196,196,196,196,197,197,195,196,197,197,196,196,196,193,194,194,195,195,195,195,196,197,197,196,196,196,196,196,197,197,197,198,199,199,198,198,199,198,198,198,197,194,195,195,196,197,196,196,197,198,199,198,198,198,198,198,198,199,199,200,200,200,199,199,200,200,200,200,198,195,195,196,196,197,197,197,198,199,199,199,200,200,199,199,199,200,201,201,201,200,200,200,200,200,201,200,199,195,196,197,197,198,198,198,199,199,199,201,200,200,200,198,183,180,180,192,202,201,201,201,201,201,201,200,199,195,196,196,198,199,199,199,199,200,200,197,190,190,203,208,171,151,140,132,165,198,204,202,202,201,202,201,200,195,196,197,198,200,201,201,200,199,202,194,175,185,214,211,185,165,147,116,95,126,178,202,203,202,202,202,201,196,196,198,199,200,201,200,193,189,217,206,183,198,217,203,191,176,149,109,99,84,99,152,200,202,202,202,201,197,197,198,200,201,200,208,192,192,211,205,190,202,215,190,181,169,141,98,103,89,85,88,143,199,204,203,203,198,198,199,201,201,201,219,201,195,205,205,200,197,205,178,173,158,129,92,94,86,87,85,84,144,204,204,204,199,199,200,201,200,202,208,202,192,204,210,205,199,202,181,170,148,115,88,84,80,86,86,82,82,168,208,206,198,199,199,200,203,205,200,206,201,198,211,206,203,211,193,171,140,104,83,73,76,85,85,82,76,119,205,206,198,197,198,199,209,204,200,208,212,200,206,206,205,210,196,166,128,96,71,62,76,88,88,83,77,97,197,205,197,198,199,199,205,206,204,203,212,202,204,212,211,208,195,156,114,84,52,57,76,90,94,93,80,105,201,205,199,199,200,200,201,208,212,207,210,205,183,216,217,208,194,149,100,59,30,54,72,85,101,94,83,115,204,205,199,199,200,201,201,208,214,214,192,198,185,208,216,209,195,141,87,33,21,44,63,83,106,88,83,123,204,205,199,200,200,201,202,202,205,217,169,175,197,201,212,213,191,134,79,31,18,31,56,91,112,86,81,146,208,206,200,200,201,201,202,200,192,202,212,194,190,200,214,216,185,130,76,46,32,27,64,111,115,86,82,163,210,208,199,200,201,202,202,201,194,184,203,200,192,197,216,215,179,123,74,63,61,49,87,137,129,93,80,164,210,208,185,187,189,191,193,196,197,187,188,189,177,174,208,213,175,114,76,73,73,63,110,161,157,114,81,169,210,207,117,120,123,125,129,133,136,137,138,138,117,123,195,212,173,107,81,81,81,77,122,167,173,141,91,160,208,221,99,99,100,99,98,100,99,98,98,99,97,99,189,216,174,106,103,93,87,88,128,166,181,168,116,156,221,241,102,103,103,102,100,102,102,102,102,102,104,98,177,218,172,114,146,114,100,90,115,155,177,179,139,162,224,238,101,101,102,102,102,102,103,103,103,104,104,99,157,215,169,125,176,135,116,103,94,131,164,162,131,128,218,223,100,101,100,102,103,103,103,103,104,105,106,100,147,223,161,144,198,159,135,120,100,93,130,136,112,144,192,201,100,101,100,100,101,103,103,102,104,105,105,100,140,211,138,180,209,176,151,137,112,87,87,96,104,192,167,176,100,100,100,100,101,101,102,102,104,104,104,103,116,143,167,214,212,187,164,148,122,93,81,79,99,214,195,164,99,100,99,101,101,100,101,103,104,104,104,104,102,115,202,222,216,193,171,155,131,98,82,80,101,222,222,197
14,164,169,173,178,182,185,187,190,194,195,195,198,199,200,201,201,201,200,200,200,199,199,199,197,197,196,195,195,163,170,175,179,184,187,189,191,194,193,196,199,200,201,202,202,201,201,202,201,201,200,200,199,199,198,197,196,165,171,176,182,186,187,190,193,195,196,199,200,202,202,203,205,205,203,203,202,202,202,200,200,200,199,198,197,166,173,179,183,186,188,191,195,197,199,201,202,203,205,204,208,206,205,205,203,203,203,202,201,201,202,200,199,168,174,180,184,186,191,193,197,199,200,202,204,204,205,212,203,207,206,204,208,208,203,203,203,203,202,201,201,168,174,179,185,189,192,193,198,200,201,203,208,200,240,255,237,240,228,198,182,194,210,202,204,205,203,202,201,168,176,183,186,191,192,194,200,201,202,205,203,214,255,255,255,242,224,210,192,178,178,207,208,202,203,204,202,170,179,184,188,191,195,198,200,203,203,208,200,250,255,234,207,183,154,159,177,169,105,122,202,207,204,204,204,171,179,185,189,193,196,199,201,205,208,207,212,255,255,187,115,102,102,105,125,124,114,102,117,209,208,206,205,173,179,184,189,195,198,201,204,205,210,201,242,255,236,151,82,91,103,85,93,119,150,131,78,144,217,207,208,174,181,186,192,195,199,202,203,207,209,204,255,255,185,98,67,99,106,89,98,104,107,115,137,110,164,214,206,177,183,188,192,197,200,202,204,208,204,233,255,207,124,72,71,70,79,102,100,108,110,126,147,141,152,160,211,178,184,189,194,198,201,204,208,208,211,255,255,187,126,98,93,84,72,104,110,166,148,139,126,189,161,143,216,179,186,191,195,200,202,205,211,203,240,255,250,180,128,111,99,98,102,88,170,228,221,212,191,208,127,151,221,180,187,193,198,202,204,207,213,203,255,255,240,170,123,111,96,97,103,124,223,219,218,218,196,201,126,149,223,181,186,193,199,202,206,210,213,206,255,255,236,160,112,98,88,99,95,171,228,218,223,213,190,192,130,131,220,181,188,194,199,203,206,210,211,208,255,255,236,172,115,90,89,87,69,189,237,218,226,194,179,180,142,127,212,182,190,195,200,204,206,209,209,216,255,255,234,172,117,90,77,77,73,97,189,233,219,175,184,167,136,159,219,183,187,194,199,204,208,213,208,233,255,255,228,174,120,82,71,87,102,96,101,143,155,184,198,167,137,209,219,184,189,195,199,204,209,215,205,253,255,255,223,175,122,82,70,86,98,104,122,118,139,189,181,139,177,225,216,182,189,196,200,206,210,215,207,255,255,255,216,179,127,87,77,89,98,119,145,150,146,176,150,153,225,220,218,180,187,196,200,204,209,212,211,255,255,247,213,196,130,95,97,110,122,145,155,145,140,146,131,203,225,219,220,180,190,198,202,206,210,211,216,255,255,234,229,201,122,112,102,124,142,158,149,138,132,120,166,227,220,221,220,183,191,198,203,208,211,210,220,255,255,238,243,197,140,127,102,129,152,158,142,130,121,176,227,224,225,224,221,182,191,198,202,207,211,211,223,255,255,251,249,208,160,131,107,123,148,150,136,120,144,233,226,225,225,224,222,182,191,199,203,208,213,210,232,255,255,255,254,212,161,132,115,118,140,138,130,118,197,232,226,227,225,223,220,183,189,197,202,207,212,207,238,255,255,255,243,195,153,132,121,120,131,129,118,170,231,226,228,227,225,223,220,181,186,193,199,203,209,204,244,255,255,255,216,173,143,130,125,127,128,124,167,230,227,227,227,225,223,221,219
7,112,121,130,136,140,142,148,154,158,162,164,167,170,172,174,175,177,178,180,180,181,181,181,181,181,182,182,180,111,121,131,138,141,144,149,155,159,162,165,168,172,174,175,177,178,179,181,182,182,182,182,183,183,183,182,181,112,122,132,139,143,145,151,156,160,163,166,169,172,175,176,177,179,180,182,184,184,184,184,183,183,184,183,182,112,122,131,140,144,147,152,157,161,165,168,171,173,175,177,180,181,181,183,184,184,185,186,186,185,186,184,184,113,123,132,140,145,147,152,157,161,166,169,172,174,176,178,180,182,183,183,185,186,186,186,186,186,186,185,186,114,124,133,141,145,147,153,158,162,167,170,173,174,177,180,182,183,184,185,186,187,187,187,187,187,187,187,186,114,124,133,142,144,148,153,158,163,167,170,173,175,178,180,183,185,185,186,187,188,188,189,188,187,187,188,187,115,125,134,142,144,149,154,160,164,168,171,174,176,179,181,183,185,187,187,189,190,189,189,190,189,189,188,188,115,125,135,144,146,149,154,168,176,173,175,181,183,185,184,179,175,182,180,179,179,180,187,190,190,190,190,189,115,127,136,145,148,161,185,198,195,182,177,190,198,199,196,182,179,194,183,172,164,152,169,172,190,192,192,190,117,127,138,154,181,198,201,197,192,176,161,167,178,183,181,166,166,179,174,165,156,150,160,148,187,193,192,191,119,137,171,196,202,198,198,202,192,169,158,170,187,192,195,179,169,176,172,180,177,164,158,163,170,177,187,192,161,193,203,201,203,201,200,200,188,158,143,148,172,177,179,177,177,171,176,182,182,174,168,171,163,174,165,183,205,205,207,205,208,203,204,206,195,144,118,120,119,113,121,133,141,147,149,150,154,156,154,156,150,157,153,184,211,212,209,206,207,203,206,211,183,131,108,110,111,92,76,84,154,171,178,179,176,174,171,171,171,175,182,192,212,209,207,203,205,205,206,201,161,115,108,112,112,105,96,81,169,190,192,194,194,194,195,194,194,195,194,194,206,206,207,205,207,207,209,201,153,105,93,99,115,131,112,93,142,193,193,194,196,196,195,196,195,196,195,194,205,210,209,207,209,209,214,196,145,103,93,70,76,111,116,108,145,191,194,195,195,196,195,195,195,195,195,193,206,203,202,196,191,188,192,159,130,107,100,93,82,102,121,139,174,186,187,189,189,190,189,189,189,188,187,186,190,190,184,176,165,168,164,136,120,111,107,96,95,107,118,123,125,125,125,126,127,124,122,123,122,120,119,117,170,170,164,157,151,148,140,116,110,104,110,104,103,104,105,104,103,103,102,101,103,102,103,103,103,101,98,96,133,143,141,133,121,114,110,109,109,107,109,109,109,109,109,108,106,110,110,107,107,104,103,104,103,102,100,100,110,111,107,103,105,108,110,109,107,108,108,107,108,108,107,107,106,110,110,109,110,106,103,103,102,103,102,102,93,88,93,105,108,110,110,109,109,109,109,109,109,107,108,108,107,107,105,106,108,105,104,103,102,101,102,100,101,93,95,106,109,111,110,110,111,110,111,111,110,109,109,110,109,108,106,107,107,105,106,103,102,102,102,119,112,100,96,103,109,110,110,110,110,110,111,111,109,109,109,109,109,108,107,106,105,104,105,104,103,103,114,185,105,98,98,98,108,110,110,109,110,111,110,111,110,110,109,109,109,108,107,107,107,105,104,104,105,107,177,189,106,101,96,93,107,110,110,110,110,109,109,109,109,108,108,108,108,107,107,107,106,105,105,104,117,161,176,167
17,127,130,132,135,137,138,139,140,142,143,144,145,147,149,149,150,151,150,151,151,152,152,151,150,150,150,150,149,130,132,134,137,139,141,142,143,143,144,145,146,149,147,149,151,151,151,152,153,153,153,152,151,151,151,150,149,133,136,138,140,142,143,145,146,146,146,148,149,159,131,131,154,153,153,153,154,154,155,154,153,153,152,152,151,137,139,141,144,146,146,148,149,150,150,150,157,155,108,108,156,156,156,156,156,156,156,156,155,154,154,153,153,141,144,146,148,150,150,151,152,153,154,154,162,166,106,103,159,158,159,159,158,159,159,159,158,157,157,157,156,145,148,150,152,154,155,156,157,157,158,158,169,181,127,96,154,160,161,162,161,162,161,162,161,160,159,159,159,149,152,155,157,159,159,159,160,161,162,162,176,186,140,88,136,165,165,165,165,165,165,166,166,164,161,161,161,153,157,158,160,163,163,164,165,166,167,166,183,181,154,103,116,168,168,168,168,168,169,169,168,167,165,164,164,157,160,162,165,166,167,168,169,170,170,169,191,167,169,119,100,167,173,172,172,173,172,172,171,170,169,168,168,161,164,167,169,170,170,172,173,173,173,175,194,155,179,131,95,161,176,176,177,176,176,175,175,173,172,171,170,164,167,169,173,174,174,176,176,176,175,172,192,161,191,155,102,152,180,179,180,180,180,179,178,176,176,174,173,167,170,172,175,176,177,178,179,182,183,159,137,135,181,165,112,140,183,182,183,183,182,181,180,179,178,177,177,170,173,176,177,178,179,180,181,192,196,169,126,97,146,158,114,128,185,184,186,186,186,184,183,181,181,180,179,173,175,178,179,181,182,183,184,188,166,161,156,135,123,122,105,115,186,187,187,188,188,187,187,185,184,182,181,174,177,180,182,184,184,185,188,190,150,148,169,178,148,94,83,102,184,189,190,191,191,190,189,188,186,185,185,177,180,183,186,186,186,186,191,203,190,145,148,167,138,84,69,86,175,193,193,193,192,192,191,191,189,187,187,179,182,185,187,188,189,192,181,153,196,155,104,147,143,92,68,72,157,196,195,195,195,194,194,193,192,191,189,180,184,187,188,190,191,198,167,118,139,153,82,113,164,109,70,64,146,199,197,197,197,196,196,195,194,193,192,183,187,189,191,192,195,201,174,129,100,141,104,110,184,129,81,62,142,202,198,199,199,198,197,196,195,195,194,185,188,191,193,194,197,191,145,105,84,124,126,138,193,147,99,65,145,204,201,200,200,200,199,197,197,196,196,187,189,192,195,195,199,187,152,118,108,111,148,177,185,149,111,72,156,204,201,202,202,201,200,201,200,198,197,189,191,194,197,197,206,195,151,132,125,136,203,194,163,133,105,78,174,205,203,204,203,202,201,201,201,200,199,190,193,195,198,201,215,190,163,146,122,161,206,171,149,123,92,85,189,206,206,205,205,205,204,202,202,201,200,192,194,196,199,203,219,200,178,134,129,176,192,157,145,120,82,91,198,208,208,208,207,206,206,204,204,202,201,193,196,198,200,203,216,208,163,150,132,198,192,154,139,109,76,103,204,209,209,209,208,208,207,206,206,204,203,194,196,199,201,202,203,200,166,156,144,209,188,148,125,96,71,118,208,210,210,210,209,209,208,207,206,205,204,194,197,199,201,201,194,191,174,150,149,204,175,132,105,84,69,144,212,212,213,211,210,209,209,208,207,207,207,195,199,200,202,204,192,177,173,150,151,190,160,119,91,75,77,180,213,212,213,212,212,212,211,209,209,208,208
19,151,152,154,156,158,158,160,161,162,162,162,163,163,162,162,161,162,161,161,160,159,160,159,157,156,156,154,153,152,154,155,157,159,161,161,162,164,165,165,164,165,164,164,163,163,163,162,162,161,161,161,160,158,159,157,157,154,156,158,161,162,162,164,166,167,167,166,166,166,167,167,166,165,164,165,165,163,162,162,162,160,160,157,157,155,157,159,161,163,164,166,166,167,167,167,167,168,168,168,167,168,166,166,166,164,163,162,162,162,162,160,159,156,159,160,162,163,166,166,167,169,170,169,170,170,170,169,167,169,168,167,166,166,166,164,165,162,162,161,160,158,160,162,164,164,167,168,169,171,172,172,172,173,172,170,170,169,170,168,168,168,166,166,166,164,164,163,161,160,161,165,165,166,168,169,171,173,173,173,173,172,171,172,166,175,171,169,170,169,168,167,167,167,165,165,164,160,162,165,167,167,169,171,173,175,175,174,175,181,174,187,153,120,175,170,169,170,170,170,168,167,165,165,165,162,163,166,168,170,172,173,174,174,176,178,152,133,157,192,175,76,136,182,178,175,174,173,171,169,170,168,166,162,165,168,169,173,174,174,174,176,175,164,131,92,95,113,124,106,93,116,127,153,157,162,165,168,162,158,164,163,166,169,172,173,173,176,178,175,163,160,167,160,110,58,83,109,100,98,82,92,110,118,104,127,108,114,160,166,167,170,172,173,175,174,170,154,160,175,177,144,86,55,49,72,84,93,83,86,104,109,105,110,112,108,147,166,168,171,173,175,174,171,162,158,160,165,165,146,103,55,48,47,51,55,50,56,63,73,73,72,77,82,100,167,168,171,174,173,171,171,168,164,155,164,172,172,136,71,45,51,39,61,98,117,119,118,117,126,129,140,158,167,170,173,175,174,172,170,169,167,164,171,174,170,138,75,46,51,38,118,197,185,184,183,184,184,183,180,177,169,170,170,174,172,174,171,172,173,169,167,167,159,144,91,46,47,48,55,174,183,178,177,176,177,176,174,176,166,168,178,178,177,174,174,176,175,167,161,172,169,157,107,50,45,54,32,106,194,178,179,180,179,177,177,177,168,192,195,182,175,177,178,175,168,165,170,176,172,140,98,59,42,56,35,81,195,179,181,181,180,179,178,177,192,199,189,177,173,174,171,167,164,163,157,157,147,117,91,68,51,53,40,140,193,181,182,181,182,181,179,178,198,194,180,174,172,170,166,165,158,156,147,142,136,118,91,72,64,54,29,145,195,183,183,182,181,181,180,179,195,190,181,169,163,165,160,162,160,153,146,138,131,138,96,69,69,55,47,174,190,185,185,184,182,181,181,180,192,188,177,164,152,153,152,152,158,148,139,120,117,133,81,63,75,53,75,199,184,185,186,185,183,183,182,181,188,183,167,151,139,136,140,138,145,134,115,92,93,83,41,61,78,45,117,196,185,186,185,185,184,184,183,181,178,169,150,136,127,110,115,121,125,106,84,81,77,46,56,69,63,127,192,189,187,186,187,186,185,185,183,182,177,147,142,134,109,91,80,91,95,83,70,63,48,44,63,95,151,196,188,188,187,187,187,187,186,186,184,183,144,132,144,129,99,71,65,64,66,55,88,146,135,138,164,187,195,188,188,188,187,187,187,186,185,184,183,181,90,134,140,116,85,50,31,31,80,135,182,199,197,196,194,190,188,189,189,188,189,188,187,185,183,183,182,181,38,80,77,48,27,10,0,0,165,204,189,189,189,190,189,190,189,190,190,189,189,189,187,186,185,184,183,182
6,179,180,181,182,183,183,184,184,184,185,186,185,184,184,182,181,182,182,181,181,180,179,179,177,176,176,175,174,180,181,182,183,184,185,185,186,186,186,186,186,186,186,184,183,183,183,182,182,181,180,180,179,177,176,177,176,182,183,184,185,186,186,187,187,187,187,187,187,187,186,185,184,184,183,183,183,182,182,181,180,179,178,177,177,183,184,186,186,187,188,188,188,189,188,188,188,187,187,186,186,186,185,184,184,183,182,182,181,180,179,178,177,184,186,187,187,188,189,190,190,191,190,190,189,189,188,187,187,187,186,186,185,184,182,179,174,178,184,177,175,185,186,187,188,189,191,191,191,191,191,190,190,190,190,188,187,186,185,184,182,179,172,166,158,177,190,168,168,187,187,188,190,192,193,193,192,192,192,192,192,190,188,184,179,171,167,169,173,168,160,154,146,157,166,153,166,188,189,190,192,194,195,195,194,193,191,185,183,180,177,170,160,147,144,151,159,152,139,127,121,126,142,161,176,189,191,192,194,195,197,197,195,193,185,169,161,151,149,156,150,137,123,126,128,121,114,118,131,148,167,179,182,191,193,194,195,196,198,197,192,188,181,170,161,133,107,113,112,103,95,105,119,134,148,165,177,182,184,184,183,194,195,196,198,198,197,192,182,180,180,178,161,120,83,71,72,85,108,140,168,182,187,188,189,188,187,185,185,196,197,197,198,195,190,185,176,172,176,176,154,113,79,65,77,132,168,186,193,194,193,192,191,189,188,187,186,197,197,196,194,189,184,179,173,167,170,170,160,133,91,68,80,148,191,195,196,196,195,194,193,190,189,188,188,196,196,194,190,184,177,174,171,167,169,171,169,148,103,72,69,102,174,197,197,196,196,195,193,192,191,190,189,195,196,195,189,181,175,173,172,170,169,171,168,152,112,75,66,74,133,192,199,198,197,195,194,194,192,192,191,203,202,197,188,181,175,173,173,171,169,171,171,160,127,81,65,66,94,175,201,199,198,197,195,195,194,193,191,208,204,193,186,182,176,172,172,172,172,173,172,160,127,85,66,63,88,173,201,201,200,199,197,196,195,194,193,205,197,189,186,181,175,172,170,168,163,160,156,141,115,87,70,66,117,192,203,202,201,200,199,198,197,196,194,206,195,185,181,174,172,173,169,162,153,146,141,127,106,90,77,69,118,194,204,203,201,201,200,199,199,197,195,206,197,180,169,167,170,173,168,159,148,139,134,120,99,90,85,72,92,178,206,205,203,202,200,200,200,198,196,180,182,168,155,157,164,165,160,149,136,122,112,95,84,85,89,77,95,179,207,207,205,202,201,200,200,199,198,102,128,137,135,142,151,150,141,127,113,100,86,67,71,84,90,97,146,199,208,208,206,204,202,202,201,200,199,52,67,90,104,117,128,126,115,103,95,89,79,70,79,96,118,160,198,209,209,208,207,205,204,203,202,201,200,43,45,49,56,67,82,89,91,113,134,144,130,116,122,148,181,205,211,210,209,208,208,207,205,204,203,202,200,38,39,37,27,24,32,39,74,165,202,207,202,195,197,205,211,213,213,211,210,209,209,208,207,206,204,202,201,34,35,38,29,15,15,23,102,198,216,216,216,215,214,214,214,213,212,211,211,210,209,208,207,206,204,202,201,31,31,37,33,15,13,42,154,213,216,217,216,215,215,214,214,213,212,212,211,210,209,208,207,206,204,203,202,28,29,37,34,16,16,77,190,216,216,216,216,216,216,215,215,214,213,212,212,211,210,209,208,206,205,203,202
12,111,114,118,121,124,126,128,131,134,136,138,141,145,147,145,144,147,149,150,151,150,151,149,150,150,152,153,152,112,116,120,123,125,128,130,133,135,137,141,143,145,149,151,152,148,149,144,142,154,152,152,153,152,154,154,153,115,119,122,124,127,130,133,134,136,139,144,145,145,131,107,132,156,155,129,86,102,163,157,158,160,154,157,153,116,120,123,126,128,132,134,136,139,142,142,150,168,136,108,79,160,167,136,105,49,148,133,124,138,161,156,158,118,121,125,128,128,132,135,138,140,144,141,162,186,156,137,75,126,177,128,118,69,63,108,103,67,130,166,157,119,122,126,128,131,133,137,140,142,145,144,167,189,168,136,83,122,184,130,120,64,38,125,106,65,50,167,158,120,124,128,130,133,136,139,142,143,146,147,166,189,183,145,103,120,190,139,116,47,57,140,100,54,24,146,166,122,126,129,132,134,138,140,143,147,148,148,153,141,178,159,112,105,180,130,95,28,71,142,96,50,21,133,172,124,128,130,132,135,138,142,143,146,147,163,130,74,106,155,91,87,154,103,84,33,60,129,94,55,19,129,174,124,127,131,134,136,140,143,146,145,170,168,108,80,53,117,78,69,136,97,85,37,56,118,92,59,15,128,177,126,128,132,135,137,141,144,142,165,168,152,120,99,52,72,79,46,124,96,66,34,56,123,97,59,17,145,171,126,130,133,135,138,141,145,147,165,127,148,139,99,62,32,74,64,103,122,80,42,85,167,124,66,30,169,166,127,131,135,136,140,143,145,154,168,123,129,132,93,68,19,73,85,98,147,98,47,105,173,133,45,22,161,170,128,133,135,137,141,144,145,158,161,133,102,120,100,67,13,33,70,38,96,92,20,78,120,59,39,37,75,177,130,133,135,138,142,146,145,163,162,132,94,124,95,53,29,0,2,0,67,127,110,132,118,86,71,57,43,161,130,134,136,140,143,146,145,165,166,133,99,107,88,48,37,0,4,43,144,163,157,143,126,94,69,49,55,167,131,135,138,141,144,146,147,166,164,132,97,84,88,59,50,5,28,113,163,161,155,133,115,85,61,38,70,180,133,135,139,142,145,148,149,168,164,140,118,86,68,77,52,28,84,160,165,173,151,123,104,80,57,34,86,185,132,136,138,142,146,148,149,168,162,147,130,115,87,69,72,95,131,176,172,178,141,112,95,69,52,35,135,181,133,136,139,144,147,149,149,166,168,154,135,126,120,98,101,118,131,176,175,167,126,100,87,66,41,65,177,173,133,136,139,143,145,149,151,160,165,158,141,133,131,115,100,109,127,181,171,147,118,93,77,60,32,105,184,171,132,135,139,141,145,150,152,156,158,156,147,138,132,120,104,97,135,180,163,132,111,85,64,54,32,140,182,173,133,135,138,142,146,150,152,154,150,153,149,140,135,121,103,90,132,163,149,113,94,74,56,44,48,170,175,174,133,135,140,143,147,150,152,153,154,155,152,142,134,120,105,85,126,146,127,97,81,61,52,32,100,182,172,175,134,136,140,144,148,150,152,155,156,159,148,136,129,112,95,79,120,125,99,86,66,51,45,45,160,177,174,175,133,136,140,142,147,150,152,155,153,157,137,118,111,93,73,80,111,110,85,77,58,51,37,110,182,173,173,174,133,137,141,143,147,151,152,152,151,161,130,112,102,76,74,82,107,103,84,71,57,44,56,168,175,174,174,175,134,137,141,145,148,150,155,147,158,166,131,123,104,85,88,93,112,98,82,59,49,33,112,179,174,175,176,176
0,154,154,156,155,156,157,158,158,159,159,157,158,158,157,158,157,158,162,159,158,158,158,158,158,157,157,158,157,155,156,157,157,156,157,158,158,159,161,159,158,159,160,160,165,147,131,157,163,158,163,161,160,160,158,159,160,157,158,158,158,158,158,158,159,160,161,161,161,154,134,150,178,135,108,103,128,119,129,162,144,136,162,160,162,157,158,159,159,160,161,159,160,160,161,164,181,156,124,107,161,140,132,89,68,111,98,115,134,90,166,160,162,158,159,159,160,162,161,162,161,162,143,162,190,153,139,107,163,153,137,100,80,126,109,86,129,88,161,163,162,159,159,160,161,162,163,158,170,180,127,112,179,163,148,107,159,172,143,103,90,139,108,72,115,83,150,168,163,159,159,161,162,163,163,159,184,178,143,116,156,183,148,105,147,181,146,99,94,144,103,59,106,84,105,175,160,160,160,161,163,164,160,175,170,173,155,128,124,188,146,101,129,185,141,93,74,126,95,50,97,101,59,158,167,160,161,162,164,162,167,176,147,178,164,132,100,178,147,101,99,174,128,82,54,101,85,47,99,111,54,134,174,162,162,164,164,162,176,161,126,165,166,133,88,158,145,97,73,144,117,82,52,83,74,46,113,118,62,133,174,162,163,164,163,164,177,163,136,148,153,121,75,127,134,93,55,120,113,83,50,86,70,68,139,130,69,135,176,160,161,162,161,171,168,149,119,118,141,112,70,103,129,89,40,99,114,73,48,102,69,107,154,130,70,139,175,160,161,162,159,171,183,158,127,91,132,110,61,93,128,90,35,98,124,74,112,139,95,110,153,131,72,149,173,159,162,164,161,170,185,163,134,88,89,114,72,84,138,99,42,92,131,129,152,142,121,92,125,128,72,154,171,161,163,164,161,173,187,169,145,115,77,97,94,81,143,116,106,145,152,150,140,129,112,98,83,95,63,153,173,162,163,164,161,173,188,175,152,130,116,105,110,128,139,151,167,167,160,147,137,120,100,92,77,69,57,150,174,162,163,165,162,172,185,178,160,143,135,125,117,129,149,160,165,166,164,149,133,117,96,82,75,64,60,162,172,160,163,165,163,170,181,180,168,157,147,133,126,125,143,156,163,161,158,145,127,115,94,78,71,57,118,176,170,161,164,166,162,162,180,179,179,167,152,136,129,128,143,159,166,158,150,141,125,110,90,75,56,105,174,169,170,153,154,159,160,153,175,180,184,167,153,139,129,128,145,163,163,155,146,137,122,103,84,62,81,172,172,172,172,87,88,91,96,87,158,180,177,164,155,143,130,125,145,159,153,141,133,125,111,93,79,58,126,164,160,164,163,73,74,74,76,58,129,180,162,158,157,148,134,123,142,154,144,128,114,103,94,83,71,71,83,87,85,82,94,79,79,80,82,67,117,176,151,157,160,149,135,122,137,152,138,117,94,83,78,69,73,79,72,69,83,124,159,78,76,77,80,69,109,175,146,159,159,146,136,125,133,147,132,102,76,70,65,78,79,78,92,133,175,184,171,78,76,76,80,72,105,184,157,160,155,141,134,126,123,132,122,87,68,64,71,77,91,148,181,193,182,172,161,76,76,77,79,70,99,187,167,164,153,139,135,131,115,124,116,78,65,63,70,111,177,197,193,188,181,186,178,78,77,77,80,72,97,177,170,168,151,140,137,132,109,120,112,74,59,57,128,184,187,190,189,175,175,185,189,79,77,78,80,71,97,169,169,166,146,136,137,134,106,113,107,73,45,104,189,172,187,184,176,172,176,182,187
12,64,79,91,99,102,110,118,126,129,133,137,142,146,150,153,156,159,161,163,165,167,168,168,170,171,173,173,174,67,82,94,101,104,113,122,128,131,135,140,143,148,153,157,159,162,170,170,167,168,172,173,173,175,176,175,176,70,85,98,102,106,116,125,131,134,138,143,147,151,155,157,162,163,143,154,176,170,172,176,182,175,177,178,177,72,87,100,104,108,118,126,133,136,141,145,150,154,160,165,171,176,102,66,144,184,142,96,146,185,176,180,179,74,89,101,106,110,120,128,134,139,143,147,152,158,145,121,182,183,114,70,62,124,133,74,54,164,185,181,182,75,91,103,107,113,123,131,135,142,145,149,151,182,135,70,80,172,143,98,55,58,134,102,48,107,197,181,183,78,94,105,110,115,125,132,137,143,150,148,167,193,137,94,50,139,175,113,79,49,121,120,69,82,198,184,186,80,96,107,111,118,126,134,140,145,150,153,182,177,165,121,88,99,188,138,86,41,88,120,77,68,194,187,189,83,99,109,113,120,130,135,142,148,149,167,169,142,187,151,106,63,153,162,90,43,51,100,73,52,189,191,191,85,101,110,114,122,132,138,143,146,149,195,130,121,181,165,106,61,101,164,88,46,31,86,60,44,188,194,193,87,103,112,117,123,133,139,143,131,124,153,123,106,149,160,117,72,54,136,82,46,27,68,55,48,190,194,194,89,104,113,116,124,131,151,168,154,149,145,113,61,44,142,114,59,24,104,88,48,26,60,57,56,196,195,195,91,105,114,117,126,130,162,192,182,185,172,87,47,0,88,86,41,10,66,107,85,32,75,75,73,206,194,197,94,108,114,119,129,130,171,187,145,147,129,60,47,3,34,69,52,0,31,144,108,44,79,95,40,170,204,197,95,109,115,120,129,133,166,168,127,100,122,86,55,14,0,69,62,14,60,137,116,52,54,84,19,119,213,196,97,110,116,121,130,136,157,141,106,66,99,119,51,27,0,37,40,61,132,129,106,50,37,51,32,145,210,198,96,109,117,120,130,136,155,163,131,92,69,119,55,37,15,22,64,123,144,133,111,83,59,44,62,194,205,208,97,110,115,119,129,136,160,165,130,100,72,94,66,38,21,33,109,141,143,142,130,98,68,31,125,220,196,175,99,111,116,119,131,136,161,161,144,131,81,63,83,66,44,54,148,150,149,156,124,88,58,50,190,171,157,116,100,111,117,121,132,138,159,160,154,139,75,75,109,89,57,75,161,158,165,147,99,77,48,85,184,82,89,154,99,111,117,122,131,139,154,153,147,144,77,92,108,82,87,138,169,168,159,121,80,64,47,79,81,99,68,86,99,111,116,122,131,140,147,142,147,137,89,100,110,87,126,149,171,161,138,97,65,50,66,129,79,115,79,70,100,111,115,122,132,142,150,149,155,132,95,104,110,85,127,134,156,148,121,80,57,37,102,166,93,59,120,168,74,80,83,86,91,96,99,122,148,129,106,110,105,87,118,137,135,127,93,60,41,71,84,90,92,80,128,116,69,70,70,71,74,73,66,82,149,131,112,108,100,93,102,127,119,88,62,46,44,86,159,118,109,117,83,109,74,73,76,78,79,81,83,79,146,153,124,105,101,99,97,114,103,66,47,48,131,153,207,180,181,139,113,165,74,75,75,77,78,79,80,76,129,140,120,100,92,87,88,99,84,58,30,81,204,173,144,147,155,122,87,99,74,76,77,79,80,79,82,78,133,137,84,70,69,71,81,80,61,46,25,70,198,155,154,171,198,163,107,79
1,157,161,166,169,173,176,178,180,182,183,184,187,188,189,187,188,187,189,187,186,186,186,186,184,182,182,180,180,158,163,167,172,175,177,181,183,184,186,188,189,190,190,192,191,192,169,176,189,186,187,187,185,183,183,183,181,159,164,170,174,176,178,182,183,187,190,190,190,191,194,168,181,206,143,125,203,187,187,187,186,185,183,183,183,161,165,171,175,178,180,183,186,188,191,192,191,192,209,131,149,211,140,114,179,186,190,189,188,188,186,183,184,164,168,173,177,180,183,185,189,190,191,194,193,203,208,121,160,204,126,119,138,138,199,188,189,189,189,186,185,165,169,174,178,181,185,188,189,191,193,196,189,167,188,114,173,201,117,146,162,110,197,190,190,190,189,188,187,166,170,176,179,182,185,189,190,193,193,203,188,108,161,124,183,211,130,158,164,102,192,194,192,191,190,189,189,167,173,178,181,184,187,189,191,196,194,210,171,95,157,133,179,196,127,166,166,99,189,198,195,193,192,192,191,168,174,179,182,185,188,190,193,197,195,211,156,86,140,116,158,182,116,181,178,106,190,199,196,195,193,192,191,169,174,179,183,187,190,193,195,196,200,213,147,91,156,115,173,184,116,186,171,107,189,199,196,196,194,194,194,170,176,181,184,188,191,195,197,197,207,208,136,98,177,110,179,182,112,195,167,108,191,200,199,198,196,195,194,172,177,183,185,189,192,196,198,197,212,213,139,82,137,81,162,144,111,206,170,114,196,202,200,198,198,197,195,172,178,183,187,190,193,197,200,197,218,206,141,120,135,124,163,166,140,169,166,113,199,202,202,201,199,199,197,172,179,184,187,191,195,197,200,202,224,201,161,138,189,197,202,205,177,117,138,117,203,202,203,202,200,198,198,173,180,185,188,192,196,198,198,212,223,178,145,113,125,177,170,201,211,154,90,108,208,203,203,203,202,200,200,174,180,186,189,193,196,199,197,222,218,173,130,113,100,122,119,202,227,195,108,103,213,203,203,203,202,201,201,174,181,186,189,194,197,199,199,229,213,162,128,125,122,139,178,190,211,197,134,117,214,204,205,204,204,202,201,175,182,187,189,195,198,199,203,231,205,166,130,135,131,167,218,204,186,155,130,97,194,210,205,205,205,204,203,174,180,186,189,194,198,199,205,233,207,174,145,141,148,200,223,197,173,137,104,91,197,212,207,206,205,204,203,174,180,185,189,192,196,198,205,232,208,170,147,144,156,216,230,192,160,128,91,90,207,207,205,205,205,204,203,175,181,186,189,193,197,199,204,229,209,175,165,145,154,219,227,184,149,121,81,109,215,207,207,205,205,204,203,175,181,187,191,193,198,201,202,225,213,186,185,152,146,223,210,174,135,108,76,175,215,207,207,207,206,204,204,176,182,186,191,194,198,202,202,221,217,192,189,151,153,217,193,167,127,88,101,215,208,209,208,208,206,205,204,175,180,185,189,194,197,201,202,224,221,193,180,140,160,202,170,154,116,72,147,219,207,207,207,204,204,203,203,176,182,188,194,200,202,206,203,226,214,189,164,136,163,178,155,138,102,83,201,219,214,214,214,212,211,209,208,146,149,151,152,155,159,154,177,233,207,189,164,147,168,163,152,128,90,95,163,162,162,163,164,165,165,164,162,116,113,112,113,112,115,105,194,231,208,197,165,164,161,144,137,106,81,98,103,103,102,102,103,99,99,97,95,124,123,124,125,126,123,133,226,209,188,187,175,162,140,130,118,84,90,117,115,115,113,113,113,113,111,111,113
0,181,181,181,181,180,180,180,180,179,178,177,178,177,176,175,174,174,173,171,171,170,168,168,166,166,164,163,162,181,182,181,182,182,181,181,181,180,179,178,179,178,178,177,176,175,174,174,172,171,169,168,166,166,165,164,164,182,182,182,182,183,183,183,182,181,180,179,179,179,179,178,177,175,174,173,172,172,171,169,168,166,166,165,164,183,184,184,184,184,184,184,183,182,181,181,180,179,180,179,178,177,175,173,173,172,172,171,170,168,167,165,164,183,185,185,186,185,184,183,182,182,183,181,167,145,151,175,163,151,161,175,174,173,173,171,171,170,168,166,165,185,186,186,186,186,184,183,175,159,164,173,152,123,101,134,137,114,101,149,149,139,155,171,166,166,169,168,166,187,187,186,186,186,185,183,168,141,124,144,157,123,96,106,141,116,89,92,120,99,88,142,141,140,170,168,166,187,187,187,187,186,186,185,178,157,131,112,153,130,103,103,146,123,93,91,129,109,73,91,131,115,170,169,167,188,188,188,187,186,189,182,173,162,137,99,142,134,106,103,146,124,93,82,125,110,74,69,120,106,163,170,169,189,188,188,188,187,190,176,146,160,124,90,140,130,100,97,137,116,84,69,110,97,67,64,118,97,136,172,170,189,189,189,189,188,185,156,125,154,110,86,133,113,82,89,127,105,75,74,121,103,60,68,124,111,100,160,171,189,189,189,190,190,186,165,141,153,118,97,129,112,79,89,128,104,70,104,140,108,53,75,126,120,88,125,174,190,191,190,190,191,182,160,139,138,122,100,134,126,82,103,141,115,74,120,139,87,52,108,136,119,80,115,173,191,192,192,191,186,163,136,119,105,93,89,137,124,80,107,143,117,71,54,71,48,81,137,140,107,73,145,172,192,192,193,192,186,164,137,112,88,78,77,102,103,73,71,105,93,72,71,52,67,129,143,126,84,103,171,172,193,192,193,190,181,163,140,112,92,88,90,88,94,90,80,88,114,135,139,125,115,136,130,102,73,150,175,172,194,193,193,189,181,166,144,118,95,87,92,99,115,126,131,144,154,149,140,136,115,117,114,76,97,174,174,174,194,194,194,192,184,167,147,126,103,94,96,110,137,150,159,162,157,145,135,128,105,96,94,63,141,178,175,174,194,194,194,192,186,168,151,132,114,110,104,134,162,165,166,162,152,139,131,122,95,78,67,91,174,179,177,174,194,195,194,192,188,173,156,140,127,124,130,159,170,168,167,160,147,135,124,109,81,60,74,156,179,178,178,176,194,195,194,192,189,175,160,147,137,133,155,166,171,171,165,151,141,127,112,92,62,67,151,180,179,178,177,177,194,195,195,190,187,179,166,152,139,138,163,167,171,169,157,140,128,117,98,71,61,144,181,180,180,180,178,177,195,196,195,189,185,181,169,156,141,137,162,167,164,159,144,127,114,100,76,60,135,182,181,181,180,181,179,178,196,196,196,192,186,182,173,164,150,140,158,164,154,145,131,114,96,73,58,128,183,184,183,182,180,181,179,178,195,195,197,194,188,180,173,166,157,146,156,155,144,131,119,99,72,57,126,183,185,185,183,182,181,180,179,179,195,195,197,192,186,178,181,177,165,152,152,146,130,117,105,76,58,130,186,187,186,186,184,183,182,180,179,179,196,196,196,191,187,177,183,177,161,149,144,137,118,101,84,62,133,188,189,188,188,187,185,184,182,181,180,179,197,197,195,188,182,170,179,169,156,147,138,124,108,90,65,99,186,191,189,188,188,186,185,184,182,182,181,180
3,166,170,174,176,179,182,184,185,186,185,186,185,184,184,184,183,180,178,180,176,175,175,173,170,168,166,163,161,169,174,177,179,183,185,187,189,190,190,189,188,187,187,186,184,193,181,157,182,177,176,175,173,170,168,166,164,171,176,180,183,187,189,191,191,192,192,192,192,191,190,189,184,213,184,96,174,183,179,177,176,173,171,169,167,174,178,183,185,188,191,193,194,195,194,193,193,194,193,193,187,211,183,88,152,191,182,180,179,176,174,171,168,177,182,185,188,191,193,196,198,198,196,196,196,196,196,196,189,209,186,94,146,195,183,184,183,179,176,173,171,179,183,186,191,193,196,198,201,201,199,199,199,200,198,196,191,212,218,119,133,197,187,186,183,181,178,175,173,181,185,189,191,195,198,201,203,204,203,202,202,203,201,200,193,217,229,123,114,196,189,188,186,184,180,177,175,183,187,192,195,200,202,204,205,206,206,206,205,205,203,203,198,220,220,115,105,196,190,190,189,185,182,179,177,185,190,195,198,202,205,206,208,208,208,207,207,207,207,206,198,230,228,125,107,198,193,192,191,187,183,181,178,188,193,198,202,205,207,210,211,211,211,211,210,208,207,205,201,196,188,123,102,198,196,194,193,190,186,183,181,191,197,202,205,207,211,212,214,214,214,214,212,210,206,221,227,136,89,76,96,206,196,197,195,191,188,185,182,193,199,204,207,211,213,216,216,217,217,216,219,227,208,152,165,199,135,55,125,219,204,199,196,194,191,187,184,196,203,206,210,214,216,219,219,221,217,223,182,204,209,122,86,230,148,99,102,145,171,202,198,195,193,189,186,198,205,209,213,215,218,221,224,222,229,238,166,107,187,164,100,178,151,123,100,132,105,167,207,195,193,192,188,201,207,211,214,217,220,222,223,227,253,233,206,133,147,181,95,122,172,153,122,139,83,144,213,198,197,192,190,204,209,214,217,219,223,226,223,244,233,223,220,146,112,160,93,117,130,98,122,114,69,137,217,200,199,194,191,205,211,215,220,222,224,228,225,255,242,193,199,149,89,135,90,121,191,82,140,153,76,124,219,202,202,197,194,206,213,216,222,223,226,229,230,241,218,172,183,120,70,132,69,117,237,101,113,170,81,92,216,204,203,199,195,208,214,219,222,225,229,232,231,238,247,216,179,113,98,126,90,86,168,110,118,136,74,85,214,207,205,201,198,210,216,220,223,228,230,232,232,248,254,235,182,119,100,139,121,169,215,168,145,101,56,145,223,207,207,204,202,208,216,221,224,229,230,234,232,245,255,245,190,138,112,119,194,225,193,141,116,93,66,209,216,211,208,206,204,206,215,220,225,229,230,233,233,240,255,238,186,180,124,153,243,207,156,127,110,80,121,228,210,211,207,205,203,207,216,223,225,231,233,235,235,242,246,230,202,187,145,146,198,184,142,121,95,69,192,223,213,212,208,203,201,209,218,223,228,231,235,235,250,128,189,236,204,185,153,118,145,140,117,96,70,155,231,217,215,211,209,212,213,210,217,222,227,229,232,239,227,55,74,192,200,184,128,94,93,99,99,72,150,232,219,224,228,227,217,180,121,215,224,229,232,236,237,255,153,55,57,68,124,135,83,80,75,81,61,54,228,236,231,203,160,140,100,49,28,157,159,164,165,165,166,165,85,63,58,48,43,54,80,78,55,51,25,0,80,133,92,44,17,10,9,18,26,117,117,119,119,117,119,92,64,73,51,50,44,41,25,15,15,9,2,0,8,18,6,11,13,21,20,8,15
17,97,102,105,112,118,123,126,131,135,136,139,142,143,144,144,143,143,144,141,134,143,140,141,140,140,138,135,135,99,104,107,114,121,125,130,134,136,139,141,143,144,146,146,147,143,152,153,80,126,147,141,142,141,139,137,136,101,105,107,114,121,127,132,134,138,141,143,146,147,148,150,147,159,150,89,46,108,154,143,143,142,141,140,139,103,107,110,116,123,131,133,136,140,143,146,149,149,151,153,146,170,163,101,19,104,157,145,145,143,143,142,141,104,108,112,118,125,132,135,139,142,145,148,150,152,152,153,149,163,170,134,36,113,157,147,147,146,145,143,142,106,110,113,120,127,132,137,141,144,147,149,151,153,154,154,152,159,185,156,70,127,158,150,149,149,148,146,143,108,111,116,122,129,134,139,142,146,149,150,153,156,157,157,156,163,195,164,91,122,161,151,151,149,149,147,145,110,113,117,124,130,136,140,143,148,150,152,156,156,157,158,156,165,199,168,97,98,165,153,154,151,151,150,148,111,115,118,126,132,137,141,146,149,153,156,157,160,164,161,157,181,203,183,116,72,163,156,157,155,153,151,149,112,116,119,128,134,139,143,148,151,154,157,158,136,140,166,163,195,199,178,124,65,158,159,158,157,156,153,151,115,118,122,129,135,141,146,150,153,156,163,162,122,56,153,182,152,160,169,117,60,152,162,159,158,158,156,154,115,118,123,130,138,142,148,151,152,149,165,153,123,33,75,124,100,152,165,120,52,150,165,160,160,158,157,156,117,119,124,131,137,144,147,154,164,165,168,125,116,99,55,42,106,167,145,124,58,147,168,162,160,160,158,158,118,121,126,135,140,147,147,168,185,171,192,168,161,138,72,28,104,150,134,118,64,135,172,163,161,162,160,159,119,122,127,136,142,148,150,168,183,117,155,182,163,133,110,56,47,96,110,101,55,114,177,164,165,164,162,161,120,123,128,136,143,149,153,159,174,132,58,82,123,143,141,103,42,30,62,73,49,102,179,164,166,165,164,162,121,124,131,138,144,151,156,158,176,153,88,13,54,112,160,131,90,46,29,54,39,112,181,166,168,167,165,163,123,125,131,140,145,153,156,161,191,167,183,62,49,128,176,140,112,81,31,28,20,121,181,168,170,169,167,164,124,126,132,140,147,154,159,158,202,188,134,81,86,209,180,146,119,91,26,9,9,138,180,170,170,169,168,166,125,127,133,142,149,156,161,159,205,182,119,127,170,200,176,127,118,76,23,7,22,171,176,173,172,171,170,168,125,128,134,142,150,157,162,161,204,175,155,150,212,167,164,135,95,72,26,0,91,190,172,174,173,173,172,169,126,129,136,144,151,157,163,165,198,192,156,161,208,170,162,159,102,52,21,7,157,184,175,175,174,173,173,170,127,129,136,145,152,158,164,165,192,202,158,169,197,164,143,138,89,37,12,29,181,178,177,177,175,174,173,172,127,130,136,146,153,159,165,165,185,201,163,151,172,132,115,97,49,28,3,72,195,176,180,177,175,175,174,174,127,131,138,146,154,159,166,168,179,192,147,118,137,119,99,68,36,32,6,146,193,180,181,179,178,175,175,174,126,129,138,145,151,158,165,165,179,185,114,103,125,136,110,72,47,16,55,192,181,182,181,180,179,177,176,174,125,128,136,145,150,167,92,0,138,180,153,153,135,141,124,72,45,9,129,192,181,183,180,179,177,176,174,174,126,128,137,145,157,138,38,0,80,180,159,143,136,133,121,76,31,25,168,185,182,182,181,180,178,176,175,174
21,179,180,182,185,187,188,188,189,190,192,192,190,191,191,191,192,192,191,191,190,190,190,190,189,187,187,186,186,180,182,184,185,187,188,190,191,191,191,191,192,191,192,193,194,193,192,192,192,192,191,190,190,189,188,187,187,181,183,185,187,189,190,192,192,192,191,217,193,174,196,196,196,195,194,194,193,194,193,192,191,191,190,190,188,184,185,187,189,191,191,192,193,194,193,226,212,157,187,199,196,196,196,197,197,196,195,195,195,193,192,191,190,185,187,189,190,192,193,194,196,197,193,208,230,166,166,202,197,198,199,198,198,197,197,197,187,195,193,194,191,186,188,190,192,194,196,196,197,197,197,197,231,203,166,193,199,200,200,200,200,196,208,200,148,191,197,195,194,188,189,191,194,195,197,197,198,198,200,195,225,231,175,177,204,201,201,201,202,197,220,190,141,194,198,197,196,189,191,193,195,198,199,198,200,200,202,199,216,237,183,162,203,203,202,203,199,208,225,173,157,204,198,198,198,189,191,194,196,198,199,200,201,202,202,202,206,237,198,160,196,205,203,204,201,223,217,160,178,207,199,200,199,191,193,196,197,199,200,201,201,202,204,203,218,225,212,158,183,210,205,203,209,222,196,147,195,204,201,202,200,192,194,197,198,201,202,203,202,203,200,213,245,223,210,163,145,206,207,204,223,219,169,157,209,202,203,203,200,194,196,198,200,202,202,203,204,204,218,219,221,231,208,186,160,178,210,212,226,212,153,188,210,204,204,204,202,195,197,199,202,202,203,204,206,208,242,221,202,235,223,216,213,169,171,202,208,182,153,210,206,206,205,203,202,197,199,201,202,203,205,207,205,217,220,222,211,175,178,227,219,176,136,165,176,146,177,214,207,208,207,205,203,198,200,203,203,206,207,209,205,220,223,177,161,128,121,184,226,189,144,140,150,136,201,211,208,208,208,206,206,198,201,203,204,207,208,210,206,225,213,178,178,153,139,149,231,213,163,130,131,146,214,210,210,208,208,207,206,200,202,204,206,207,209,210,207,229,232,212,185,156,160,152,219,233,179,136,119,162,218,211,212,210,210,209,208,201,203,205,207,209,210,211,209,238,234,192,170,158,175,175,228,239,197,152,117,168,219,211,212,211,211,210,209,202,204,206,207,209,211,213,212,238,222,187,177,182,188,200,245,235,202,164,125,167,221,212,213,212,212,211,211,203,205,207,208,210,212,213,213,240,232,204,195,193,197,224,246,229,199,167,125,169,223,212,214,214,213,212,212,202,205,208,208,210,211,213,212,240,236,213,195,204,210,235,246,229,193,171,129,168,224,214,216,215,214,214,213,202,205,207,208,209,211,214,211,237,242,220,199,204,219,244,244,229,193,167,128,175,223,214,215,214,214,213,213,204,206,208,209,211,213,214,211,235,244,221,212,207,227,246,236,222,189,164,127,181,224,214,215,216,214,213,212,204,207,208,210,212,214,216,214,231,246,226,227,218,230,246,234,215,189,159,125,178,227,216,217,217,217,215,214,205,206,208,212,213,214,216,215,223,245,234,233,228,225,239,221,207,185,151,121,179,228,216,219,217,216,218,212,204,207,209,212,214,216,218,218,217,240,241,235,226,216,225,205,196,183,146,118,187,228,218,220,221,224,217,160,206,209,212,215,216,218,219,220,218,235,244,232,211,198,208,199,192,186,140,118,208,226,220,222,218,182,143,120,190,195,198,200,202,204,207,212,199,208,241,221,196,179,191,202,187,178,124,133,226,220,222,216,159,125,121,115
7,164,164,164,165,164,164,163,162,161,159,159,159,157,156,156,156,155,153,153,151,150,149,148,146,145,143,143,141,167,166,165,166,164,164,164,164,163,161,161,161,159,158,158,158,157,155,154,152,151,151,150,148,148,145,144,143,169,168,167,167,166,165,165,165,164,164,163,162,161,162,161,158,158,157,156,156,154,152,151,150,150,148,146,145,170,170,169,170,169,168,167,167,166,165,165,164,164,163,162,161,160,158,158,157,156,154,152,151,151,149,147,146,172,172,171,171,170,169,169,169,168,167,166,165,165,165,164,162,161,160,159,158,157,156,155,154,152,151,149,148,173,174,172,172,171,171,171,170,169,169,168,167,166,166,166,163,164,163,160,159,159,158,157,155,152,152,150,149,175,175,173,173,173,173,172,172,171,170,170,168,167,167,167,166,165,164,163,161,159,159,158,157,155,153,152,151,177,177,175,175,175,174,174,172,170,170,174,174,173,170,169,168,166,166,165,163,162,161,159,158,158,155,153,153,178,178,177,176,177,176,173,180,163,137,158,147,159,169,173,173,172,167,164,164,164,162,160,159,159,157,155,154,178,178,178,177,177,176,176,195,172,179,168,107,93,108,129,141,153,168,172,168,165,163,162,161,160,160,157,155,180,179,180,179,180,176,185,188,183,196,167,121,108,94,91,101,101,110,133,158,164,167,166,163,161,159,158,156,181,180,180,180,180,178,189,183,189,187,166,161,164,126,87,87,93,93,91,92,105,117,136,154,166,160,159,158,183,182,181,182,179,183,191,191,194,183,175,181,169,143,113,90,90,91,84,88,89,91,88,118,166,163,161,159,183,183,183,184,181,188,190,195,191,181,179,177,163,156,144,116,87,90,84,84,92,93,91,86,104,128,159,160,183,182,183,182,184,192,196,189,183,178,172,167,168,169,154,126,95,86,91,88,97,92,86,82,79,90,153,163,185,184,185,181,185,193,197,190,181,175,161,163,172,169,152,121,100,92,80,105,166,154,139,130,127,141,163,162,186,185,186,178,189,194,194,182,177,174,164,165,170,156,136,114,98,96,89,100,175,175,174,173,172,170,164,163,186,186,186,177,195,199,191,173,175,176,167,163,155,130,123,113,95,99,105,95,157,175,169,169,168,167,166,164,188,188,180,179,201,196,186,174,173,169,161,156,133,125,124,110,102,98,97,125,173,173,171,171,169,167,166,165,188,190,173,185,200,190,180,181,171,163,158,143,129,131,119,108,85,78,123,170,177,174,173,172,169,168,166,165,189,186,169,194,194,183,178,177,161,159,150,136,137,129,110,104,104,149,180,178,174,175,174,173,169,167,166,165,192,174,175,196,189,180,178,169,162,154,143,139,132,119,100,144,184,183,179,177,177,176,174,172,170,169,167,165,188,165,187,189,185,179,172,168,157,144,143,133,122,104,120,183,183,180,180,179,179,176,175,174,171,170,169,166,177,174,187,182,183,182,163,153,141,137,134,122,108,114,174,186,181,181,180,180,178,177,177,175,173,170,169,167,170,183,182,181,184,170,146,136,129,124,119,107,122,175,188,183,183,182,182,179,178,178,177,175,173,171,169,168,169,183,187,191,165,148,136,124,115,108,100,112,180,189,184,185,184,182,182,180,179,179,177,175,173,172,170,169,174,175,190,179,144,149,130,111,104,100,106,165,191,185,186,185,184,182,182,181,180,178,177,175,174,172,171,169,173,174,179,165,148,154,129,104,97,106,174,192,188,187,186,184,184,183,183,182,180,179,178,176,175,172,171,170
19,204,209,214,218,222,225,228,230,231,233,233,232,234,232,233,233,234,232,231,231,230,229,228,224,234,240,203,255,209,214,220,223,226,229,233,235,237,237,238,238,237,240,237,237,237,236,235,236,235,234,233,227,247,195,192,255,214,218,224,228,231,234,237,240,242,243,244,243,245,237,246,243,242,241,241,240,240,239,238,235,236,241,255,255,218,224,228,232,236,239,243,244,245,248,245,255,255,188,190,252,245,245,244,244,243,242,241,240,236,246,239,207,222,228,232,237,241,244,248,249,251,253,248,255,254,181,137,237,255,249,249,248,248,247,245,243,241,242,223,211,229,234,238,242,247,251,253,253,255,255,254,255,253,196,131,204,255,252,252,251,251,251,249,247,246,245,239,243,231,238,243,246,252,255,255,255,255,255,255,255,255,210,136,173,255,255,255,255,255,255,252,251,249,248,243,247,236,240,245,252,255,255,255,255,255,255,255,255,255,199,124,141,255,255,255,255,255,255,255,254,252,251,248,252,240,245,251,255,255,255,255,255,255,255,255,255,253,199,165,189,238,232,245,250,252,253,255,255,255,255,254,255,242,248,254,255,255,255,255,255,255,255,255,255,255,252,255,255,221,185,211,229,211,200,207,209,232,246,255,255,245,251,255,255,255,255,255,239,242,255,255,255,255,255,255,245,223,202,217,239,221,215,213,192,230,229,210,255,248,253,255,255,255,255,255,234,245,251,250,252,249,241,235,219,201,166,165,190,201,205,207,191,202,214,178,240,250,254,255,255,255,255,255,248,242,225,228,235,231,227,228,224,212,148,195,213,211,203,194,189,194,220,110,215,253,255,255,255,255,255,209,196,210,222,242,245,234,234,231,229,223,171,244,255,255,255,255,255,255,239,89,152,254,255,255,255,255,245,210,204,207,219,226,222,227,230,227,226,205,147,231,255,255,255,255,255,255,154,102,100,255,255,255,255,255,226,226,227,222,208,175,185,209,195,178,187,166,136,255,255,255,255,255,255,233,113,106,108,255,255,255,255,255,255,245,215,204,213,219,214,209,202,193,187,172,158,255,255,255,236,182,130,103,105,107,109,255,255,255,255,255,255,255,213,183,207,218,217,215,213,204,192,188,157,224,194,105,86,96,88,90,101,101,104,255,255,255,255,255,255,255,216,199,191,179,182,191,189,178,170,164,146,89,68,84,75,83,79,98,96,94,100,255,255,255,255,255,255,255,228,205,181,158,162,181,181,170,162,145,118,90,88,92,84,75,71,87,90,85,94,255,255,255,255,255,255,255,246,201,170,191,203,199,192,179,170,143,79,77,95,83,80,81,80,72,78,79,87,255,255,255,255,255,255,255,255,198,166,182,190,185,174,158,149,140,78,63,83,87,82,70,72,80,79,78,80,255,255,255,255,255,255,255,228,194,182,181,191,189,167,151,157,130,81,70,70,83,85,74,58,71,73,87,87,255,255,255,255,255,255,255,222,196,192,182,184,165,141,153,158,77,72,79,67,69,85,83,63,61,64,79,83,255,255,255,255,255,255,252,218,191,193,186,164,126,115,128,113,53,57,72,67,68,72,87,74,56,64,61,58,255,255,255,255,255,255,226,192,197,229,187,124,115,78,33,69,79,53,60,69,68,69,73,84,62,58,61,57,250,255,255,255,255,255,223,199,218,221,173,121,112,67,25,46,79,72,58,68,62,63,66,73,74,51,58,55,167,161,235,255,255,255,231,225,232,208,165,130,95,84,34,32,62,79,67,64,61,53,62,62,72,59,49,57
5,185,186,185,187,189,190,191,190,192,192,193,192,191,193,197,193,193,193,191,190,189,188,186,185,186,183,181,180,188,189,190,191,193,194,195,194,195,196,197,197,198,195,177,195,195,195,195,194,193,192,189,188,188,186,186,184,194,194,195,195,198,198,199,198,200,202,202,205,201,212,133,176,205,199,200,198,196,195,195,193,192,191,190,186,197,198,199,201,201,202,202,203,206,206,203,171,191,229,139,150,216,202,203,202,201,200,200,198,196,195,194,191,201,203,204,205,206,207,207,209,210,207,218,154,151,238,138,130,222,206,207,206,205,203,203,202,201,199,197,195,205,206,208,207,210,213,213,212,214,209,230,172,134,237,132,129,226,210,211,210,208,207,206,205,205,203,201,199,209,208,211,213,214,214,209,214,217,213,235,178,122,235,147,138,229,213,215,216,212,211,209,209,208,207,204,203,212,213,215,217,216,221,178,176,228,214,238,187,122,230,139,146,232,217,219,219,224,216,213,213,212,209,208,207,216,218,219,220,218,229,188,136,228,216,240,192,112,222,125,153,234,220,221,210,182,213,218,215,213,213,212,211,219,221,221,222,221,234,210,113,225,223,236,186,96,224,150,155,236,219,227,217,153,166,232,219,217,217,216,214,220,222,223,224,225,231,211,111,222,227,230,204,102,200,166,156,236,215,205,190,215,171,196,223,221,220,218,216,223,224,225,227,229,230,236,124,200,234,224,218,103,160,173,165,231,223,175,92,194,188,145,225,225,222,220,219,226,227,228,230,230,232,242,163,163,239,226,222,107,145,173,166,222,221,165,157,216,153,174,236,226,224,222,220,228,229,230,230,232,231,225,231,182,195,219,204,143,162,157,142,193,193,158,226,209,127,223,230,227,226,224,223,229,232,232,233,234,237,218,239,221,177,180,178,152,155,147,144,196,186,172,236,175,120,239,229,231,229,228,228,232,235,236,236,235,239,232,234,248,202,170,167,138,144,144,146,190,182,192,246,139,125,249,232,232,232,231,229,234,235,236,238,239,239,240,236,255,227,155,149,128,125,140,151,186,174,195,251,136,153,252,232,234,233,232,231,234,236,238,238,238,239,240,241,255,236,159,119,123,120,136,172,194,161,187,248,145,168,252,234,236,237,235,231,236,237,239,240,241,241,240,241,255,232,169,119,122,120,160,182,210,212,180,232,149,174,252,235,238,238,236,233,238,239,239,241,244,244,244,239,255,227,173,124,114,135,176,198,227,232,190,190,123,170,255,238,238,238,236,236,238,239,241,243,244,245,247,237,255,231,181,125,114,146,195,221,224,223,193,138,85,158,255,240,241,239,237,237,240,242,243,245,245,246,249,238,254,233,182,130,117,145,209,235,231,208,163,106,69,200,253,242,244,242,239,238,241,244,244,245,246,248,250,240,241,231,180,134,126,141,222,240,216,183,142,77,143,255,244,246,246,243,240,239,243,245,245,246,246,248,251,235,225,229,179,147,135,140,217,219,196,165,112,94,242,254,246,246,246,245,241,239,242,243,245,246,247,249,254,238,220,218,171,162,134,141,199,203,185,145,72,178,255,249,249,248,246,246,243,240,241,242,243,245,246,247,250,241,216,207,173,163,127,137,185,188,161,88,113,255,251,251,248,248,247,246,244,243,240,242,245,246,246,247,252,238,223,211,175,160,134,120,164,147,103,88,231,255,249,250,247,248,246,246,244,242,242,244,246,246,246,248,253,233,228,201,153,148,134,111,138,106,73,197,255,249,253,250,249,250,246,245,243,242
0,190,190,192,192,192,194,195,195,196,196,194,196,196,194,195,193,196,200,196,195,195,195,196,195,194,194,194,194,192,192,194,194,193,194,195,195,196,198,196,196,196,198,198,204,180,159,193,201,194,202,198,198,198,196,197,197,194,195,195,195,195,196,196,196,198,199,198,199,190,163,184,222,164,128,122,155,143,157,200,176,165,201,197,200,193,195,196,196,198,198,197,197,198,200,203,226,192,149,127,199,172,160,104,76,132,115,138,163,105,206,197,200,195,196,197,198,200,199,200,199,201,176,200,237,188,170,127,201,188,167,118,91,153,130,100,157,102,200,202,201,196,196,198,199,200,201,195,211,224,154,134,223,202,181,127,196,214,175,123,105,170,129,80,138,96,184,208,201,196,196,199,201,201,202,197,229,222,175,139,192,228,182,125,180,225,180,117,109,177,121,63,126,96,125,217,198,197,197,199,201,203,198,218,211,215,191,155,149,234,179,119,157,231,173,108,83,152,111,52,114,120,64,195,207,198,199,201,203,200,208,219,180,222,203,160,118,222,181,119,117,216,155,95,56,119,98,47,117,132,56,163,216,200,201,202,203,200,219,199,153,205,206,162,102,195,178,114,82,177,140,94,54,96,83,46,135,142,68,162,217,201,201,203,202,203,220,201,166,182,188,146,85,154,163,109,58,144,135,95,52,99,78,75,169,158,77,164,218,198,199,201,199,212,209,182,144,142,172,134,78,122,156,103,38,117,137,82,49,121,77,128,189,158,78,170,218,198,198,200,197,213,228,195,154,106,161,131,66,109,155,104,32,115,150,83,134,169,111,132,188,159,81,183,215,197,200,202,199,211,231,201,163,102,104,137,81,97,168,117,40,107,159,157,187,173,146,107,152,155,80,189,213,199,201,203,199,215,233,210,177,138,87,114,109,93,175,139,126,177,187,184,171,156,134,116,96,111,68,188,215,201,202,203,199,215,235,217,187,157,139,125,132,155,169,186,207,207,198,180,167,145,118,108,87,76,61,185,216,200,202,204,200,214,231,222,197,176,164,152,140,157,183,197,205,206,203,182,162,141,112,94,84,71,65,200,213,198,202,204,201,211,225,224,208,193,180,162,153,151,175,193,201,199,195,178,154,137,110,89,79,61,141,219,210,200,202,205,201,201,224,223,222,206,188,165,156,155,174,196,205,195,185,172,151,131,104,85,60,125,216,209,211,189,190,196,197,189,217,225,229,207,189,170,156,156,177,202,202,190,179,168,147,122,97,67,92,214,214,214,214,100,101,106,113,101,195,225,221,203,191,175,158,151,178,196,188,172,162,151,133,109,90,62,152,203,197,203,202,82,84,84,86,63,157,224,200,195,194,182,164,148,174,190,176,155,136,122,110,96,80,79,95,101,98,94,110,90,90,91,94,74,141,219,186,194,197,183,164,147,167,187,169,141,110,95,88,76,82,90,81,76,95,149,197,89,87,87,91,77,130,218,179,196,196,179,166,151,162,180,161,120,86,78,71,88,91,89,108,162,218,229,213,89,87,86,92,80,124,230,194,197,191,172,163,152,148,160,148,100,75,70,79,88,106,181,225,242,227,213,198,86,86,88,90,78,117,233,207,203,188,170,165,159,138,150,139,89,72,69,78,132,220,247,241,235,225,232,221,89,87,87,91,80,114,220,211,208,186,170,167,160,130,144,134,84,63,61,155,229,233,237,237,218,217,231,236,90,88,89,91,79,114,210,210,205,179,166,166,163,127,135,127,83,45,123,236,213,234,229,219,213,219,227,234
8,187,188,189,190,190,191,192,192,193,193,192,192,192,192,193,193,192,192,190,189,187,185,185,184,183,183,181,179,189,190,190,191,192,193,194,195,195,195,193,194,194,194,195,194,193,192,192,190,189,188,187,186,184,183,182,180,191,192,192,194,196,196,196,196,196,199,206,177,196,196,196,196,195,195,193,192,192,190,189,188,187,185,184,183,193,193,194,194,196,197,197,198,194,210,213,154,196,199,197,198,197,196,194,194,194,193,191,189,188,188,186,185,193,194,196,196,198,199,199,201,194,218,209,153,201,198,201,201,197,198,196,195,196,192,193,192,190,190,189,187,195,197,198,199,200,200,200,202,196,224,215,160,205,213,191,195,207,192,192,198,194,201,191,185,194,190,190,189,198,199,200,201,201,202,201,203,198,229,213,158,222,237,189,170,226,189,164,199,188,212,189,164,198,192,192,190,199,200,201,201,202,202,202,204,198,231,214,159,236,241,203,164,218,198,152,195,190,203,196,153,197,195,192,191,200,201,202,202,203,204,204,206,201,229,229,190,238,245,210,162,210,203,144,197,191,178,206,161,175,197,194,192,201,202,202,204,205,206,206,207,203,233,226,228,231,236,213,156,198,199,141,203,184,144,192,189,152,179,199,193,202,202,204,205,206,206,206,205,210,236,224,227,229,224,205,150,198,190,144,201,166,137,181,206,150,175,201,194,203,203,205,206,207,208,209,203,222,237,205,208,206,213,217,154,194,186,134,174,158,141,201,212,153,189,200,197,203,206,207,207,208,209,209,205,229,241,191,185,182,188,220,152,197,189,123,177,147,159,222,199,154,200,200,197,205,207,208,208,209,209,211,207,233,242,205,171,177,180,186,178,200,178,144,184,153,202,220,173,158,207,201,202,206,208,209,209,210,210,213,209,235,243,212,179,162,177,191,212,191,188,207,210,206,203,195,156,169,202,195,176,206,207,209,210,210,211,214,209,235,244,219,191,165,172,200,210,216,232,236,225,203,179,166,146,139,140,132,120,206,207,209,209,209,211,212,209,234,245,225,205,176,169,201,226,240,239,228,216,193,165,147,132,131,128,122,119,207,208,209,211,212,212,213,209,232,245,235,217,196,181,204,233,240,232,220,202,177,152,135,129,127,121,120,120,208,210,209,212,214,212,214,211,226,245,239,224,208,188,206,235,235,223,207,184,156,136,125,120,105,97,87,77,209,211,212,212,214,213,215,213,219,245,242,227,207,192,202,228,225,208,191,163,138,123,115,108,98,88,85,74,208,210,211,211,213,214,216,217,220,245,237,220,203,190,200,214,207,189,173,143,125,121,116,103,89,80,81,78,213,214,216,215,217,217,224,192,187,245,209,205,191,183,198,201,186,168,146,122,115,116,118,115,95,77,74,76,189,192,193,195,197,198,212,136,118,235,205,203,190,189,193,187,167,145,121,96,101,110,107,115,111,85,70,71,134,133,131,132,133,134,143,134,86,166,211,203,196,188,180,173,149,126,85,72,83,100,96,105,117,99,75,67,133,132,135,134,134,132,136,145,130,130,170,188,187,173,162,150,128,100,52,56,81,92,91,94,112,108,84,67,137,136,139,139,140,138,143,143,127,132,130,138,154,154,139,136,109,69,46,77,104,107,81,87,103,111,95,73,140,137,139,139,140,139,145,144,126,125,124,117,115,117,118,118,95,56,64,98,114,107,74,81,94,109,102,83,139,137,139,141,142,141,148,141,129,127,124,120,112,104,101,97,93,85,85,86,86,78,65,73,87,101,105,90
2,200,200,200,201,200,200,201,201,201,202,202,201,200,201,200,200,201,198,199,199,198,198,198,198,196,196,195,194,202,202,203,203,202,202,203,203,202,204,204,202,203,203,204,204,203,204,200,199,197,198,199,198,197,196,195,195,204,203,204,203,204,204,204,204,205,205,205,204,201,196,187,184,165,178,212,205,201,200,199,198,198,197,196,197,205,204,205,205,206,205,205,204,206,206,203,192,169,146,128,112,104,132,186,177,197,202,200,200,201,199,197,198,207,207,207,207,207,208,206,206,202,200,184,148,119,106,103,86,85,94,125,107,191,206,202,202,202,201,201,200,208,208,209,208,208,208,208,202,194,176,138,105,87,82,78,80,84,97,102,106,190,206,203,203,204,202,201,202,208,209,208,208,209,209,207,196,190,137,92,80,75,77,85,76,77,85,96,101,113,208,203,203,203,203,201,203,209,209,208,207,208,210,205,199,171,116,76,68,78,81,80,76,88,99,101,106,162,211,204,205,205,206,205,204,210,210,210,209,210,211,202,198,146,95,73,80,79,69,84,96,87,88,122,188,211,206,208,207,203,191,199,206,210,210,211,210,211,210,202,192,143,99,76,87,73,84,92,82,113,185,208,213,208,209,210,205,186,152,164,212,211,211,211,212,215,206,206,189,142,102,85,74,79,101,95,151,208,216,209,209,209,210,207,184,183,125,172,214,213,212,212,214,207,194,212,184,138,100,87,70,92,88,140,229,210,210,211,210,210,212,194,178,165,118,205,209,215,214,213,217,196,185,213,185,148,108,83,75,90,86,193,217,210,213,213,211,211,213,181,184,130,133,218,205,215,215,214,219,194,182,217,190,161,115,81,82,80,131,225,211,214,214,213,213,214,198,174,174,121,143,219,208,215,215,215,220,191,194,223,194,167,129,87,84,73,167,229,217,220,219,215,217,199,181,184,172,108,142,222,209,215,215,215,222,192,202,225,196,171,138,93,83,77,162,218,195,189,198,209,202,180,186,182,143,105,194,213,211,216,217,217,221,190,206,225,193,172,149,99,79,88,104,131,141,147,152,159,150,172,177,150,107,185,217,210,212,217,218,218,221,189,206,223,194,177,151,106,82,93,115,143,161,162,144,142,135,143,144,103,176,221,210,214,212,217,218,218,221,187,207,220,201,182,152,109,97,102,139,153,168,157,141,125,121,122,96,158,223,211,215,215,214,218,219,219,218,190,207,217,203,179,151,118,108,100,140,147,157,153,135,117,115,90,130,224,214,215,215,214,214,220,220,222,217,195,210,214,205,177,148,125,117,101,128,139,141,142,127,115,93,111,209,220,215,217,216,216,215,220,220,222,215,202,214,212,210,178,143,127,116,100,125,126,126,123,113,95,142,210,222,217,217,217,216,216,215,222,221,223,213,208,216,208,204,168,130,117,108,99,121,113,118,104,100,176,225,221,218,217,217,216,216,216,215,221,220,222,209,209,216,205,194,156,116,109,104,103,116,106,99,107,191,229,218,219,219,218,218,218,217,217,216,220,220,222,210,203,207,204,198,166,112,112,112,109,110,85,126,208,225,220,221,221,220,219,219,218,216,217,216,220,221,220,210,205,200,204,209,181,109,118,119,116,89,124,222,220,218,221,220,219,219,218,218,217,215,215,215,220,222,215,211,217,207,209,210,187,112,120,124,112,115,215,223,220,221,221,221,219,219,219,218,217,216,215,215,221,223,214,214,216,215,211,207,184,119,114,120,104,173,230,220,223,222,222,222,219,220,220,219,217,218,216,215
18,203,204,205,207,208,209,210,210,210,211,212,211,210,210,210,209,207,207,208,207,205,204,205,204,203,202,200,199,205,207,209,209,209,210,212,213,212,212,212,212,212,210,211,211,209,209,209,208,209,206,206,205,205,203,201,201,205,209,212,211,211,211,213,214,213,214,214,213,213,213,212,212,212,211,209,213,211,208,206,206,205,204,203,202,207,210,212,213,213,213,214,215,215,216,217,214,215,214,215,213,214,210,216,195,199,211,209,209,207,206,205,205,210,212,214,213,214,215,216,218,217,219,218,217,218,219,217,214,214,217,246,159,154,220,209,210,209,207,206,205,212,214,215,215,216,218,218,219,218,219,219,218,216,214,216,221,206,224,254,166,111,218,212,212,210,211,208,208,213,215,216,218,219,220,221,221,220,221,220,223,231,187,153,185,164,183,255,205,107,159,227,210,213,213,211,210,215,217,218,219,220,221,222,224,223,223,222,222,234,222,171,136,145,195,255,213,140,96,193,221,211,214,213,212,216,218,218,220,222,223,226,226,225,223,230,196,145,182,203,152,114,148,221,218,167,141,110,198,221,215,214,213,218,220,221,221,224,226,226,225,229,246,232,200,157,105,188,168,116,92,124,190,183,153,108,126,230,213,216,213,218,221,222,224,226,226,227,223,255,254,252,206,173,115,129,159,105,78,77,183,206,158,121,118,229,215,217,216,219,222,224,226,226,229,224,243,243,230,254,208,178,126,88,112,98,73,72,197,215,180,120,122,230,217,218,218,220,223,226,227,229,228,232,255,246,211,225,199,173,121,84,96,85,75,69,168,212,192,123,111,230,220,221,218,223,225,227,228,229,230,254,243,213,213,216,153,129,104,90,126,69,66,82,178,212,193,128,110,231,220,222,221,224,227,228,231,226,242,255,239,194,174,186,117,111,90,119,121,100,154,158,175,201,173,120,106,232,222,222,222,226,228,229,231,229,244,255,251,225,165,137,157,115,45,127,174,209,210,204,156,157,154,124,95,221,226,224,222,227,229,231,233,228,255,255,255,229,178,142,153,94,71,227,241,228,200,182,163,123,143,129,90,216,230,225,226,228,229,232,234,233,255,255,248,199,175,160,142,105,200,255,236,223,194,159,163,126,124,111,101,231,227,227,226,229,231,233,232,240,255,255,238,200,190,150,114,178,249,241,230,208,186,163,151,133,115,84,163,240,227,227,226,228,231,234,233,245,255,255,233,200,199,148,159,222,252,234,218,205,187,155,143,128,100,91,226,231,230,228,227,229,231,234,235,247,255,255,234,215,212,149,196,215,240,226,207,200,176,141,132,119,77,145,242,228,230,228,228,230,233,235,234,247,255,255,237,227,193,156,165,212,214,213,198,186,159,135,121,103,79,215,237,231,230,229,229,231,234,235,234,247,255,253,247,224,175,138,163,195,201,196,191,171,147,123,111,71,149,246,231,233,232,231,230,233,234,236,236,251,250,244,239,196,145,137,176,185,197,189,175,157,129,108,82,97,233,235,235,236,234,232,232,231,231,236,236,255,247,240,225,196,172,170,176,189,192,182,159,142,119,92,75,209,242,234,237,236,235,232,232,238,244,237,239,255,255,255,241,227,207,184,160,184,189,167,139,124,105,67,180,248,235,238,237,235,234,234,233,203,185,231,254,255,255,255,240,216,194,179,151,172,177,148,128,114,76,163,250,237,238,237,237,237,235,235,233,131,90,103,211,255,255,251,234,207,175,170,151,167,160,135,121,83,138,253,240,240,239,239,238,237,237,236,235
23,147,150,155,157,158,160,161,162,162,164,166,164,164,163,164,164,165,165,165,166,165,166,165,165,166,163,164,163,149,152,157,158,159,162,162,164,166,164,164,164,165,166,167,168,170,169,170,166,166,167,167,166,166,166,165,165,153,156,158,162,163,164,165,166,169,167,166,168,169,166,166,162,150,155,169,174,170,170,171,170,170,170,168,167,155,157,162,163,165,167,168,169,169,171,174,172,167,182,198,174,147,128,144,128,158,177,174,174,173,173,172,169,156,160,163,165,168,169,172,173,171,174,175,172,188,200,184,153,121,119,97,66,161,179,175,176,175,175,174,173,159,162,165,167,170,173,173,173,173,174,176,193,192,143,134,89,105,113,110,153,179,175,178,177,177,178,177,177,161,164,167,169,172,174,174,175,177,175,176,186,158,92,85,139,188,184,189,185,178,180,180,179,179,181,180,179,164,167,170,173,173,175,176,176,179,177,179,175,140,103,94,203,178,178,170,170,184,180,182,184,183,182,182,181,166,168,172,174,175,177,179,178,180,181,183,176,140,136,86,177,178,192,175,89,153,188,183,184,185,185,183,183,167,172,174,176,177,180,181,182,182,182,181,183,162,137,116,194,210,200,171,72,109,201,184,186,185,185,183,183,169,174,176,176,180,181,181,183,183,183,181,190,173,182,210,205,183,179,162,51,72,138,144,192,184,185,184,184,170,173,176,177,181,181,182,184,185,184,183,181,188,202,193,182,187,173,126,59,3,84,93,194,189,187,187,186,172,174,177,181,182,182,184,185,186,185,180,181,191,199,202,182,180,166,71,38,0,52,43,88,200,191,189,189,173,175,178,182,182,182,185,186,186,190,187,186,188,193,185,174,181,154,59,28,0,26,42,13,95,202,188,190,175,176,179,182,183,184,187,189,186,197,202,179,182,182,183,184,168,108,51,35,3,12,40,43,32,188,193,191,176,178,181,183,185,186,188,189,189,190,195,183,187,188,176,146,94,40,56,43,6,7,38,29,94,203,191,191,176,178,181,182,186,188,188,189,191,181,189,185,180,160,125,76,11,22,60,38,0,22,47,37,174,203,193,192,175,180,182,184,187,188,189,190,193,183,187,180,173,160,102,48,4,47,43,2,0,30,36,109,207,193,196,194,175,179,182,185,187,188,189,190,193,185,183,177,184,163,73,20,7,20,0,0,12,27,43,180,202,196,198,196,175,179,180,183,184,186,189,189,191,184,178,177,188,139,70,40,0,0,1,16,38,23,96,209,195,198,199,199,177,180,182,183,185,187,188,188,190,183,178,185,190,145,83,53,4,1,35,49,57,33,150,212,198,199,198,198,176,179,182,184,187,189,188,188,191,181,175,195,185,146,96,60,25,8,47,59,62,39,171,207,197,198,198,198,175,179,183,184,188,189,189,188,192,180,168,196,183,145,101,64,38,11,47,62,57,54,194,202,199,199,197,197,174,179,183,184,187,189,190,189,192,178,169,187,178,142,97,61,43,17,44,67,42,93,212,197,200,199,199,198,177,180,182,184,187,188,190,189,194,167,165,184,172,134,95,59,42,26,36,57,33,166,206,196,198,199,200,200,178,182,187,188,192,195,197,197,201,164,179,184,159,127,91,59,42,35,31,36,128,213,202,204,202,203,201,196,91,97,104,108,111,113,118,126,121,145,202,188,154,116,83,59,42,40,25,109,189,181,184,192,193,186,183,181,56,57,59,58,59,60,63,62,48,160,215,187,151,105,81,61,41,38,48,73,87,107,118,150,168,154,163,162
14,167,169,171,173,173,174,176,175,176,177,178,177,177,177,176,175,174,173,173,173,171,171,171,169,168,167,165,165,169,171,172,174,175,176,178,179,179,179,179,179,180,179,179,179,177,176,175,175,174,174,172,171,170,169,169,168,171,173,174,176,178,179,180,181,180,181,181,181,182,182,181,182,180,179,178,177,176,174,174,173,172,172,171,170,172,174,176,178,179,181,183,183,183,183,183,184,183,182,182,183,182,181,180,180,179,178,177,175,174,174,173,172,173,176,178,180,181,183,186,186,186,186,186,187,194,176,167,173,174,182,182,182,181,180,179,177,176,175,175,174,174,177,180,181,183,185,186,187,187,189,191,203,196,177,166,162,149,155,179,184,183,182,181,180,179,178,177,176,178,179,182,185,186,186,187,189,190,192,206,202,198,178,181,168,141,121,123,185,185,185,184,182,181,180,179,178,180,182,183,186,188,188,187,191,192,202,206,199,176,109,156,156,156,116,78,136,187,187,185,183,182,182,181,180,181,183,185,187,189,191,190,194,198,210,176,136,117,84,77,92,165,152,80,86,181,187,187,186,185,183,182,182,183,185,187,190,192,193,194,210,218,202,160,111,70,60,53,45,141,170,118,83,169,189,189,188,186,185,184,184,186,188,188,191,194,194,204,220,207,171,136,106,76,45,54,46,92,139,119,83,139,191,191,189,187,187,186,185,186,188,190,193,194,196,221,216,192,140,90,81,68,51,51,78,172,160,156,116,118,194,191,191,190,188,187,187,186,188,191,194,194,218,226,207,187,135,90,57,54,51,102,179,196,184,161,101,110,195,194,194,191,190,189,188,188,191,194,192,213,230,215,203,171,125,95,59,49,73,184,201,198,173,153,93,99,196,196,196,194,193,192,191,190,193,195,203,234,227,214,197,165,131,91,43,40,107,176,203,198,161,144,91,72,171,197,197,196,195,194,192,193,196,195,227,237,224,208,188,159,117,79,47,57,69,83,175,170,146,136,100,83,137,200,200,198,196,195,194,194,196,208,239,234,218,202,182,140,97,64,69,86,89,90,101,123,149,138,99,86,169,202,201,199,197,197,196,194,197,230,235,225,210,192,167,121,98,68,93,104,108,111,104,115,138,123,88,147,200,203,202,200,200,199,197,195,213,239,228,216,198,184,158,122,96,86,106,109,114,107,113,105,126,98,124,199,203,203,202,201,200,199,198,173,230,237,221,203,191,172,150,125,92,94,110,109,108,98,113,94,88,115,198,206,206,205,203,202,202,201,199,88,157,213,206,183,166,150,134,99,85,90,101,104,99,91,97,74,101,193,208,207,207,207,205,203,203,202,200,81,79,113,158,166,138,106,78,66,75,78,84,91,86,81,102,151,199,211,209,209,208,207,207,205,204,203,202,72,73,73,82,90,83,71,59,57,61,61,66,73,80,129,200,213,212,212,211,209,209,208,207,206,206,203,202,69,67,70,68,37,33,38,36,33,34,33,66,121,173,211,214,215,214,213,213,212,210,209,208,207,207,205,203,67,66,64,67,56,17,27,27,23,22,20,51,192,217,216,216,216,215,214,214,213,211,210,209,208,207,206,205,63,62,60,63,61,15,19,23,21,20,20,39,197,219,218,217,217,217,215,215,214,212,212,210,209,208,207,206,55,58,55,60,62,11,17,19,19,18,20,95,219,220,219,219,218,217,216,216,215,214,213,212,211,209,208,207,66,93,49,63,46,9,16,16,16,15,18,148,221,219,220,219,218,217,216,216,216,214,214,213,212,209,209,208
1,105,89,79,74,76,71,35,74,92,103,112,118,125,129,131,133,137,140,142,143,146,147,149,150,152,153,153,153,107,87,82,73,81,64,39,79,94,102,124,129,101,127,134,137,138,141,143,145,147,149,150,152,154,154,154,154,107,86,87,73,87,57,44,82,95,106,131,145,87,109,128,120,142,143,145,147,148,150,153,155,156,156,157,156,107,87,90,72,92,51,51,81,114,137,103,146,103,104,135,87,130,147,146,148,150,152,155,156,157,157,158,157,107,88,91,74,95,45,57,82,122,144,96,143,115,105,146,92,106,151,147,150,152,155,156,157,158,159,159,159,104,89,92,75,96,39,62,85,119,151,102,136,130,103,148,112,92,149,149,152,155,156,158,159,160,160,160,160,103,92,91,79,95,37,68,85,118,155,100,137,152,111,134,127,87,138,153,154,155,156,159,160,161,161,161,161,101,95,90,83,90,35,74,105,112,160,115,134,158,112,134,148,95,120,158,153,156,158,160,161,162,162,162,162,99,98,87,88,85,30,100,142,103,162,128,121,151,115,132,156,107,104,158,154,157,159,161,162,163,163,163,164,98,100,85,94,78,32,108,138,98,156,131,111,150,121,118,152,117,98,155,156,158,160,162,163,164,164,165,165,97,102,82,99,70,36,107,140,94,148,137,103,154,133,110,155,126,96,152,158,159,161,163,163,164,165,166,166,99,105,80,103,62,40,106,150,96,146,148,96,144,143,106,158,133,93,144,160,159,162,163,164,164,166,167,167,100,106,80,109,54,46,102,161,106,130,157,99,114,144,90,139,139,90,136,163,160,162,164,164,165,166,167,167,103,107,81,111,47,52,95,153,107,111,158,102,104,140,102,138,142,91,120,165,160,163,164,165,165,167,168,167,106,105,82,110,41,59,88,147,124,100,143,127,127,129,139,145,117,90,103,164,160,163,164,165,166,166,167,166,108,103,86,107,36,64,84,149,134,97,137,143,123,113,131,141,106,79,89,156,162,163,165,165,167,167,167,167,109,101,90,105,33,68,84,145,128,133,137,138,141,129,156,162,116,77,70,143,165,162,165,166,167,168,168,168,113,100,94,100,32,72,84,145,146,147,123,127,134,134,155,152,122,94,65,124,168,162,165,167,168,168,168,168,117,98,102,98,32,74,86,155,155,132,116,110,120,126,131,137,139,116,77,97,167,164,167,167,168,168,169,169,121,96,108,91,32,75,83,148,149,121,105,115,121,133,153,150,151,138,103,82,157,165,165,165,167,167,168,168,123,93,115,82,34,75,78,132,148,117,105,118,122,139,164,163,156,150,120,88,151,163,162,163,164,166,165,164,123,91,121,72,34,73,78,109,150,125,110,110,128,139,162,170,152,141,113,92,153,161,161,162,164,164,169,187,122,89,124,64,44,76,79,91,140,132,117,108,126,138,160,167,149,132,104,84,153,161,161,163,166,162,170,196,121,92,119,101,86,98,102,101,128,143,127,113,117,134,155,162,145,127,100,83,141,147,148,149,149,151,143,145,120,92,121,106,64,70,72,70,83,138,131,124,115,126,151,154,135,121,96,80,89,90,93,89,109,146,145,139,118,94,124,102,68,72,74,77,73,100,136,129,123,120,136,144,126,114,91,80,89,90,88,91,144,149,143,136,114,95,125,100,68,73,74,74,77,73,116,134,128,118,116,128,117,102,86,83,87,89,83,122,157,146,141,134,110,92,126,96,65,71,72,73,76,72,89,135,123,111,106,109,105,96,80,83,87,85,89,148,152,144,136,132
19,174,176,179,180,182,184,185,186,187,187,188,188,188,189,190,191,191,191,191,191,191,190,191,192,190,190,190,189,176,179,182,184,185,187,189,189,190,190,190,191,192,193,193,195,194,193,193,194,194,194,194,195,194,194,193,192,180,182,185,188,190,191,192,193,194,194,194,195,194,196,199,196,196,196,197,197,197,196,196,196,195,196,195,194,184,185,189,191,193,194,194,196,196,197,196,200,195,160,175,204,198,200,200,200,200,199,200,199,199,199,197,196,186,188,191,194,194,196,196,198,199,200,197,210,201,159,133,204,202,202,202,202,202,201,202,203,202,202,201,200,188,190,193,196,198,199,200,200,201,202,201,213,205,171,117,190,213,209,208,206,205,205,204,205,204,204,204,203,191,194,196,199,200,202,203,204,204,205,205,213,206,167,118,175,191,187,204,205,206,210,211,209,209,208,206,206,194,197,198,201,202,203,205,206,210,211,209,211,198,183,192,198,177,150,174,175,170,179,184,203,202,207,208,207,196,199,201,203,205,206,208,209,208,204,205,202,203,204,198,187,174,146,157,178,176,173,162,182,165,193,215,209,199,201,203,205,208,208,210,206,181,180,187,191,191,186,182,185,180,145,126,148,154,150,145,146,171,209,213,211,200,203,205,207,209,210,215,196,175,173,173,177,181,186,184,185,179,133,185,208,201,196,198,205,217,217,214,213,201,204,207,209,211,212,218,193,190,177,164,166,172,175,171,167,167,137,194,228,221,224,224,222,219,219,216,215,203,206,209,211,214,214,213,215,211,177,155,162,166,175,181,175,168,144,158,229,219,220,220,221,220,219,219,218,206,208,210,212,215,216,211,217,220,195,172,149,150,161,165,156,152,128,162,231,220,222,222,223,222,221,220,219,206,209,212,214,215,217,214,207,216,222,185,157,154,162,163,150,142,121,190,233,224,225,225,224,224,223,221,221,207,210,213,216,218,218,213,217,217,208,174,164,161,159,152,137,128,118,207,231,228,227,225,226,225,224,223,224,210,212,215,218,219,218,215,222,218,199,176,162,164,146,119,99,110,134,228,227,228,228,227,227,227,226,225,225,211,214,217,219,221,220,216,222,214,191,164,167,185,134,96,89,105,175,235,226,228,229,229,228,227,226,225,225,213,215,219,221,223,223,214,220,212,186,162,179,173,120,91,96,148,228,229,228,230,230,230,229,228,228,226,226,214,217,221,223,224,225,213,214,207,180,166,188,161,123,106,94,194,239,228,231,231,230,231,231,229,230,229,228,215,218,221,223,225,226,209,205,200,180,187,193,156,120,113,108,214,236,232,233,232,232,232,232,232,231,231,230,216,219,221,224,225,227,208,201,201,192,196,184,145,118,109,135,238,231,234,234,234,233,233,233,232,232,232,231,217,219,222,224,225,228,202,202,203,194,188,167,135,118,108,181,244,231,233,234,234,234,234,234,233,233,233,232,219,221,223,226,227,227,200,206,197,180,173,148,128,117,128,227,236,234,234,236,237,236,236,235,236,235,235,234,220,222,223,226,229,227,200,206,195,174,157,131,127,115,176,246,235,237,236,237,237,237,236,237,237,237,237,235,221,223,224,226,231,225,203,221,202,175,147,123,121,105,200,244,236,238,237,238,238,238,237,236,236,237,237,236,220,223,226,226,232,218,207,220,192,164,138,123,110,127,235,239,237,238,238,239,239,238,238,237,237,237,237,237,219,221,225,227,233,209,210,208,169,150,135,128,100,166,250,235,238,237,238,238,238,238,238,238,237,238,239,237
5,134,136,137,140,142,142,142,142,143,139,156,104,114,146,139,140,139,136,138,139,134,135,134,131,135,63,11,17,136,138,139,142,143,143,145,144,144,140,171,81,80,151,140,141,140,142,132,123,139,135,135,142,103,11,25,40,138,140,142,143,145,146,146,147,149,147,171,72,99,153,142,143,139,153,106,65,146,136,137,135,47,7,28,49,139,143,143,145,147,147,149,148,131,161,153,61,127,152,144,143,144,133,64,78,147,136,144,110,20,16,27,41,140,143,146,147,149,150,154,164,64,154,136,60,144,150,146,148,127,91,51,132,145,138,147,81,13,29,43,52,142,143,147,148,151,154,151,172,69,127,133,66,153,150,152,135,99,52,103,151,142,141,147,94,25,39,43,49,143,146,148,150,152,155,151,179,98,100,115,76,158,154,132,104,70,75,155,145,145,142,149,115,36,44,40,33,145,147,149,152,155,156,156,168,110,86,84,95,166,129,88,77,55,135,154,148,147,144,146,134,44,30,23,25,148,149,152,153,156,157,155,172,126,75,60,115,156,85,66,48,114,157,149,150,148,146,146,153,73,3,10,29,148,151,154,154,156,159,156,178,149,81,71,104,119,69,52,82,164,151,152,151,150,149,148,155,101,14,15,12,151,152,154,156,160,160,159,173,148,80,73,80,87,70,50,120,163,155,152,151,152,150,148,153,129,92,91,52,152,154,155,159,161,160,161,164,144,81,58,57,62,61,60,153,162,147,153,157,154,153,150,153,138,63,127,127,154,156,158,160,161,163,162,164,152,104,65,56,46,43,95,161,110,81,92,148,161,155,152,153,132,80,141,98,154,157,159,161,163,164,164,162,161,123,68,49,47,41,74,82,66,86,89,97,127,152,154,157,153,120,73,81,155,157,159,161,164,165,165,162,171,144,92,53,46,49,45,55,72,65,96,119,108,121,129,127,136,154,94,118,156,159,161,162,164,165,167,166,179,166,128,72,47,48,57,46,39,47,86,85,106,118,112,76,77,137,140,132,156,160,162,164,167,168,168,168,179,178,144,82,49,43,52,39,81,143,156,124,113,91,108,109,91,58,139,141,158,161,162,165,167,168,169,168,184,188,147,86,54,44,30,89,185,163,167,163,122,120,128,103,77,92,148,85,158,161,163,167,168,170,170,169,188,193,151,94,58,39,21,64,127,174,155,102,102,123,95,68,132,159,159,114,159,161,164,166,169,171,171,170,188,196,154,99,62,31,31,41,47,123,88,94,114,84,46,131,165,153,154,150,160,162,165,168,170,171,171,174,190,192,151,99,64,31,32,48,55,40,65,101,82,56,122,163,156,157,155,154,160,163,165,168,169,172,170,175,195,189,146,99,64,33,35,52,57,61,70,76,64,142,170,158,158,158,155,154,161,162,164,167,168,170,169,174,194,184,137,95,64,36,39,60,62,65,58,51,139,169,160,161,157,156,155,153,161,164,165,168,169,171,169,177,189,173,128,96,65,33,43,66,69,64,47,127,170,160,163,161,158,155,156,154,161,164,165,168,170,170,164,183,188,165,129,101,61,32,38,64,72,51,82,177,161,163,163,162,159,156,157,155,161,163,165,168,171,164,169,194,187,160,130,101,62,39,39,65,68,40,132,170,162,163,162,162,159,157,157,155,162,164,167,169,171,157,189,197,180,154,133,99,57,41,50,69,44,77,172,164,164,164,163,161,159,158,157,154,161,164,167,172,159,162,199,190,166,149,132,92,52,42,53,53,49,154,170,166,164,162,163,162,161,159,159,146
24,197,199,199,200,201,201,201,202,202,202,202,201,202,202,201,199,198,196,196,197,195,193,192,192,190,189,186,184,200,202,203,204,204,204,205,204,205,205,205,205,205,204,204,204,203,201,200,199,197,197,196,193,192,191,190,187,204,205,207,207,207,207,208,208,208,207,207,207,208,207,207,206,205,204,203,202,200,199,200,201,196,195,193,191,207,208,209,210,211,211,212,211,211,210,210,210,210,211,211,209,207,207,206,205,204,204,183,178,203,197,196,195,210,211,212,212,212,213,213,213,213,212,213,212,212,213,212,212,211,209,208,208,205,210,176,126,202,201,198,196,213,213,214,215,216,215,215,216,216,220,215,214,214,214,214,212,212,212,211,211,207,216,179,122,201,204,200,198,216,216,216,218,220,218,218,220,210,177,218,219,218,218,218,216,214,214,213,212,210,220,171,126,207,206,203,201,218,218,220,220,220,220,220,222,202,133,176,229,219,222,220,220,219,217,216,214,215,224,162,135,214,206,206,204,219,220,221,222,222,221,220,224,202,154,133,227,222,223,223,222,220,220,219,214,223,222,155,148,220,208,207,205,222,223,224,224,225,224,224,226,219,178,119,207,230,223,224,223,221,221,221,221,229,205,132,164,224,211,211,208,224,225,226,226,226,227,226,225,227,196,123,176,237,224,226,228,228,225,221,210,232,198,112,186,223,214,214,211,225,227,227,227,227,227,227,227,229,212,154,137,235,226,229,211,193,221,212,154,145,185,123,214,220,217,215,212,228,228,229,229,229,229,230,229,232,220,175,112,211,236,217,196,170,167,175,154,119,125,140,228,219,219,217,215,228,231,231,231,232,232,232,232,233,227,188,126,169,243,206,208,183,171,158,174,173,92,154,234,219,220,219,217,231,232,233,233,234,233,233,233,233,232,207,169,133,213,192,220,185,174,177,181,164,95,179,234,222,221,220,218,233,234,233,234,235,234,234,234,233,234,221,185,126,160,166,215,205,145,130,161,181,117,154,238,223,224,221,220,233,234,235,235,236,236,236,235,237,239,228,201,184,156,147,180,204,134,72,152,199,143,110,226,226,224,223,221,234,236,238,238,238,237,237,237,237,240,229,227,203,144,110,155,184,117,79,133,208,186,112,162,238,223,225,224,237,239,239,239,240,240,240,240,239,241,233,224,182,143,120,157,171,117,95,205,221,203,132,117,235,226,226,225,239,240,240,241,241,241,241,241,242,242,240,224,204,191,148,153,186,131,166,234,215,185,116,128,237,227,227,225,240,241,241,241,242,244,243,243,243,244,244,224,218,207,155,150,148,158,235,228,196,173,98,150,244,227,228,227,239,241,241,241,242,243,243,243,242,244,245,220,218,218,179,153,130,219,238,221,189,163,95,175,244,227,229,227,240,240,241,242,243,242,242,243,244,244,244,227,211,209,193,165,138,219,228,210,183,150,92,195,239,227,228,227,241,241,242,243,243,243,244,244,246,243,247,228,204,204,201,185,144,202,231,204,168,130,94,217,236,229,228,227,242,242,242,243,243,245,245,245,246,246,248,237,207,208,201,201,155,182,225,193,153,104,115,240,232,232,229,227,242,242,242,244,245,246,245,244,245,247,246,246,218,213,202,205,158,148,202,162,128,77,153,248,230,233,230,230,236,239,242,244,246,248,248,249,251,253,252,255,227,216,204,193,161,138,164,150,111,78,208,243,234,235,236,221,156,159,163,167,170,175,182,185,188,193,197,199,217,221,197,183,175,147,151,157,93,117,234,226,227,216,167,115
7,232,233,233,236,238,238,237,238,238,239,239,239,239,239,239,239,239,239,239,239,237,236,235,233,232,231,230,228,233,235,236,237,238,239,240,241,241,240,240,240,240,240,241,243,241,240,241,241,239,238,237,235,232,232,233,231,234,236,238,240,241,242,241,241,242,243,242,243,244,244,244,243,243,244,243,242,242,240,238,237,236,235,233,232,236,238,240,241,243,243,244,243,244,244,246,246,245,246,246,244,244,245,245,244,243,242,240,238,239,237,235,233,239,240,242,242,244,245,245,245,246,246,246,246,247,246,247,247,246,246,246,245,245,244,242,241,241,239,237,237,240,243,244,245,245,246,246,247,248,247,246,249,248,248,248,248,247,247,247,247,246,244,244,244,242,240,239,237,242,244,243,246,248,248,249,248,249,249,248,250,250,250,250,249,249,249,249,248,248,246,245,245,244,242,241,239,244,245,245,248,249,250,250,250,252,254,253,252,252,253,252,251,251,252,252,250,250,249,246,245,246,245,243,242,244,246,247,249,249,251,254,255,246,228,242,249,249,248,250,252,253,252,250,250,248,247,252,248,246,245,244,243,245,246,248,252,255,255,255,255,255,223,204,224,238,236,239,239,237,239,240,241,237,249,255,235,250,246,245,244,249,254,255,255,255,255,255,254,252,224,191,205,221,229,229,224,220,223,220,227,221,220,209,232,250,247,246,246,255,255,255,255,253,247,238,238,246,228,195,186,194,212,223,231,229,221,222,225,216,217,221,224,248,244,246,248,255,255,252,247,244,239,237,243,254,240,199,188,188,183,189,193,195,197,205,209,209,211,221,214,222,220,249,248,255,249,239,235,231,233,237,245,241,220,198,192,201,203,196,175,179,227,222,220,214,212,214,217,218,240,252,250,255,245,234,229,231,230,225,235,242,221,188,171,186,204,206,200,181,242,255,255,255,255,255,255,255,255,251,252,255,249,241,236,236,236,232,233,247,233,198,184,190,188,187,187,179,248,255,255,255,255,255,255,254,255,254,255,251,248,246,240,237,236,235,238,247,233,204,202,209,199,200,171,217,255,255,255,255,255,255,255,255,255,255,241,242,245,246,245,240,233,231,233,226,216,201,199,205,202,191,193,255,255,255,255,255,255,255,255,255,255,218,169,207,231,247,243,233,228,222,212,198,183,169,144,154,185,173,226,255,255,255,255,255,255,255,255,255,248,167,171,119,146,191,222,212,197,197,201,222,238,175,134,152,172,195,255,255,255,255,255,255,255,255,255,255,205,162,157,100,94,103,116,175,243,252,255,255,255,254,187,207,229,255,255,255,255,255,255,255,255,255,255,202,157,148,129,96,96,92,95,244,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,190,171,152,141,131,118,90,90,81,115,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,196,161,160,151,143,130,120,113,91,91,80,105,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,169,130,132,149,139,134,134,125,110,98,94,69,102,255,255,255,255,255,255,255,255,255,255,255,255,255,247,186,162,133,111,126,133,126,129,131,114,98,82,64,88,229,236,237,240,242,244,246,247,249,251,250,254,242,163,135,165,129,104,108,123,119,121,130,123,85,69,69,94,166,164,165,167,169,172,174,175,177,178,175,186,186,143,127,157,126,99,104,112,114,115,124,126,73,72,70,114,178,169,170,171,171,170,170,171,171,167,172,182,171,134,121,149,121,98,100,107,109,111,118,124
4,153,156,158,160,163,165,167,171,173,175,179,179,179,182,182,184,184,184,184,184,185,186,186,186,184,184,183,184,157,159,161,164,166,168,170,173,174,176,180,182,181,183,187,191,179,176,186,186,187,187,188,187,187,186,186,186,160,163,165,167,170,171,173,176,178,180,183,187,178,194,225,218,159,117,171,184,186,190,190,190,189,189,188,188,163,166,168,171,173,175,177,181,182,189,214,209,157,131,176,197,144,98,99,129,133,173,193,192,192,192,190,189,166,168,171,174,177,179,186,182,162,214,226,216,162,108,84,169,138,91,72,116,107,109,194,194,195,194,193,192,169,171,174,177,180,184,225,210,155,164,161,211,167,116,60,129,160,118,73,127,130,96,192,196,197,195,195,195,172,174,177,180,181,211,218,209,196,173,117,170,188,130,45,129,185,148,109,125,139,118,183,199,199,199,197,198,175,179,181,182,187,228,203,163,163,131,88,107,182,126,55,163,181,141,102,96,109,111,139,202,201,201,200,200,177,181,185,186,190,236,221,186,166,152,141,94,136,107,79,129,153,127,108,104,101,98,117,180,204,203,201,201,180,183,186,189,190,225,219,200,173,150,135,109,106,118,115,127,150,134,130,114,91,119,128,129,204,205,205,203,182,186,188,192,193,219,219,196,166,136,116,105,108,127,134,151,163,155,144,121,124,157,150,118,167,207,207,206,184,189,191,195,195,225,224,198,170,134,113,103,113,126,143,162,178,185,202,213,200,185,163,142,118,199,208,209,186,191,193,197,198,227,232,205,175,140,113,109,116,130,156,188,184,213,220,214,201,180,151,120,95,161,212,211,188,194,196,198,200,223,236,210,186,155,121,110,112,133,171,192,188,212,211,202,186,165,139,112,95,115,213,214,189,196,197,201,204,224,239,217,196,165,134,116,118,135,179,196,206,215,216,200,177,157,135,109,95,102,210,216,192,197,200,203,206,225,243,223,204,174,146,129,129,132,175,202,216,218,213,201,174,150,124,104,91,122,218,218,194,199,202,205,207,222,243,230,213,183,155,147,141,137,172,205,218,218,215,201,168,139,114,99,87,176,222,221,196,200,204,207,210,218,239,236,223,193,168,160,153,145,179,201,217,219,214,194,161,129,109,95,98,214,223,224,198,202,206,208,210,214,234,238,230,205,181,170,160,151,184,201,209,217,205,180,150,124,106,89,140,225,225,225,201,205,208,211,214,213,228,237,231,210,191,177,165,157,177,206,207,206,188,162,138,118,103,87,194,226,227,227,205,209,209,213,216,217,216,231,226,211,193,181,169,156,155,195,201,187,169,145,127,114,100,110,225,228,229,229,207,210,212,215,218,221,209,229,228,214,193,182,172,155,142,183,197,184,158,134,115,110,93,173,230,229,229,230,210,212,215,218,221,224,211,230,233,216,193,181,175,158,141,172,187,173,148,123,105,95,131,225,231,232,231,231,212,214,217,220,223,225,215,233,232,209,186,178,176,155,138,164,173,159,128,109,91,127,217,233,233,233,232,233,213,216,220,222,224,226,220,235,228,202,182,182,179,162,141,153,155,143,113,98,106,213,234,234,235,235,234,225,214,218,221,222,225,228,215,233,234,205,194,195,186,172,145,140,137,133,105,87,179,232,235,235,230,203,152,109,217,220,223,224,227,230,215,234,239,212,206,212,190,176,143,129,126,127,99,97,220,233,236,199,123,79,65,57,219,221,223,225,228,232,181,231,244,228,225,222,192,176,143,125,126,126,93,127,232,237,181,95,72,48,46,40
2,79,87,99,118,126,132,139,143,144,148,152,155,158,161,163,165,167,168,168,171,171,171,172,172,172,173,173,172,80,88,102,119,127,134,140,144,146,149,152,155,159,163,164,166,169,169,169,172,173,174,174,174,173,175,175,175,81,90,104,120,129,135,142,146,147,152,151,158,157,149,161,165,166,170,173,176,175,175,176,176,176,177,176,175,82,90,107,123,131,137,144,146,148,152,158,192,180,161,158,151,153,167,162,162,176,177,177,178,177,177,177,178,85,92,111,124,132,137,142,148,154,143,172,193,187,197,196,172,144,132,146,125,128,176,181,177,178,178,178,178,86,93,112,125,133,140,139,184,190,178,179,169,155,152,167,190,167,120,93,127,159,142,169,182,179,179,179,180,85,94,114,125,135,135,161,209,183,187,196,194,181,145,109,115,167,148,101,99,146,100,141,188,178,181,181,181,87,97,116,126,136,136,192,167,146,156,164,156,167,176,141,136,125,150,159,137,92,119,174,181,180,182,182,182,89,99,117,128,133,149,180,176,176,167,149,135,161,157,163,169,128,93,144,140,94,173,185,180,181,183,183,183,90,99,120,129,139,188,189,191,182,175,170,165,168,116,92,117,96,114,118,106,130,183,181,182,181,184,184,183,90,102,122,125,183,194,166,154,135,112,118,120,106,91,75,84,155,183,177,171,184,182,183,185,184,184,185,184,90,105,118,142,208,160,119,98,77,72,74,75,84,82,74,92,184,179,183,186,184,187,188,181,182,189,185,185,91,107,114,182,187,135,102,73,63,75,73,71,81,80,69,84,181,181,182,183,190,167,136,126,122,154,189,184,94,102,145,211,149,109,84,73,71,71,70,77,76,70,65,70,176,184,184,190,147,111,121,129,130,104,175,190,97,99,184,195,132,105,91,83,70,68,73,75,71,70,76,60,150,192,190,154,111,136,146,145,124,108,182,190,96,104,190,175,126,104,90,74,64,67,72,76,76,76,77,71,92,190,182,111,137,149,143,122,125,173,193,189,95,109,190,168,127,99,78,66,65,66,73,82,82,83,87,92,81,93,135,121,142,140,108,137,193,193,190,190,96,112,193,165,122,91,74,71,66,69,79,84,90,95,102,108,107,70,108,138,130,104,97,189,194,191,192,191,95,116,194,164,131,103,84,73,65,71,81,93,104,110,116,118,120,95,122,134,116,84,139,202,191,194,193,193,95,122,190,157,132,104,89,80,69,71,83,104,118,120,124,128,130,107,116,134,109,93,180,198,194,195,195,194,97,122,185,154,132,108,97,89,75,72,88,116,126,130,134,139,133,117,104,133,99,102,199,195,196,195,196,196,99,120,178,153,133,117,105,92,76,72,93,123,132,135,136,139,129,113,104,101,99,166,201,196,199,199,198,197,100,118,170,150,134,122,106,92,80,74,97,121,126,130,129,128,120,106,90,127,186,202,198,200,200,200,199,199,103,113,163,153,134,120,103,90,82,82,103,116,118,117,119,119,109,86,132,205,199,196,200,199,199,200,199,199,103,111,161,158,135,118,101,93,89,89,110,112,113,113,113,106,88,121,193,194,193,195,198,199,199,199,200,199,102,113,173,159,132,116,107,102,96,91,107,105,105,102,89,101,146,194,195,195,196,198,199,199,200,200,198,197,98,154,173,166,137,119,113,105,97,87,87,89,88,92,138,179,197,193,195,196,197,198,199,199,200,197,200,207,119,185,135,159,143,117,105,97,88,81,80,81,70,102,195,189,189,193,194,196,197,198,198,200,199,201,201,204
6,158,160,161,163,164,165,166,165,165,165,166,166,166,165,165,164,165,164,164,163,162,162,162,162,161,160,159,158,159,161,162,164,165,166,166,167,168,167,168,167,168,167,166,166,166,165,164,164,163,163,163,163,163,162,159,159,159,161,163,164,166,168,168,168,170,168,168,168,168,168,166,166,166,165,164,165,164,164,164,163,163,162,160,159,159,161,163,165,166,168,168,168,169,168,168,168,168,168,168,168,167,166,165,165,164,164,165,164,163,163,162,161,160,162,163,165,167,167,168,169,169,169,170,170,169,168,167,166,166,166,168,167,167,169,167,166,165,163,163,162,160,162,163,165,168,168,169,169,169,169,167,163,158,151,136,137,143,148,146,147,149,145,155,157,163,164,163,163,160,163,165,165,168,167,166,170,169,171,169,165,162,152,136,137,147,153,143,145,132,126,164,150,134,167,163,163,161,163,164,169,171,163,167,175,177,178,173,166,159,149,137,135,144,151,147,145,142,132,155,142,120,167,163,163,163,165,165,187,178,163,165,166,164,156,150,147,139,136,124,106,102,115,120,124,128,125,128,128,153,167,164,164,163,165,167,194,176,162,155,150,155,159,159,153,143,140,144,118,104,155,153,155,156,159,161,165,169,166,165,164,164,164,169,180,157,153,157,161,167,172,167,158,151,147,147,126,100,172,175,173,173,172,171,170,168,167,166,164,164,163,185,178,152,151,155,161,169,172,169,163,155,145,132,113,90,146,176,170,170,170,169,169,170,168,166,165,165,165,186,166,153,150,152,155,159,161,162,157,145,139,128,96,90,120,177,170,171,171,171,170,169,169,168,166,165,168,175,154,162,160,159,159,162,168,169,156,138,140,142,96,87,111,174,172,172,172,171,171,170,169,168,167,165,166,174,174,174,165,167,167,174,177,165,152,143,144,134,102,91,107,169,174,174,174,171,170,170,169,168,167,166,164,176,196,180,162,165,165,167,166,161,152,147,134,114,101,98,111,174,174,174,174,172,170,170,170,169,168,164,163,179,193,177,162,159,151,141,139,141,138,133,123,95,94,104,153,177,173,173,173,173,171,169,169,167,167,164,163,178,182,175,165,152,139,135,147,155,149,147,151,106,80,111,172,174,173,171,171,172,171,169,168,166,165,166,164,179,175,184,170,153,153,168,174,160,146,140,146,114,89,130,177,173,173,172,171,171,170,169,168,167,165,165,164,179,173,180,168,155,157,164,163,151,142,135,125,107,99,144,179,172,172,172,171,171,170,170,169,168,167,164,159,175,177,171,162,157,156,159,154,147,134,121,106,96,103,158,175,173,173,173,172,171,170,169,169,168,167,167,160,169,176,175,162,155,150,145,132,120,106,97,105,133,155,175,172,174,174,173,173,173,172,171,170,170,163,157,152,165,174,165,153,143,135,122,106,97,84,99,149,170,169,166,166,167,167,165,166,167,166,167,166,159,190,103,106,160,166,148,139,134,128,106,97,100,99,105,106,106,105,105,105,105,105,104,104,105,105,106,98,179,227,101,103,157,158,139,141,136,119,102,98,104,109,98,95,95,94,94,95,95,93,92,92,92,92,82,166,230,220,101,109,160,150,138,148,134,110,100,98,108,105,99,100,100,100,98,102,107,102,103,105,104,87,168,230,222,220,98,117,165,148,141,147,131,110,98,99,113,103,100,100,99,99,98,99,100,99,99,103,88,153,230,224,221,215,98,127,167,146,137,140,121,103,97,103,112,101,100,100,99,98,98,98,98,98,101,92,130,228,223,226,214,211
16,116,117,118,120,125,128,130,133,135,138,138,140,143,144,144,145,146,147,149,148,149,150,149,149,149,148,148,149,116,118,119,120,125,128,131,133,136,137,138,141,143,144,147,149,150,150,152,154,153,152,149,149,151,150,149,149,116,118,118,120,125,130,132,134,136,138,140,143,144,142,135,129,123,120,120,124,132,146,156,153,150,151,150,150,118,119,119,122,126,130,132,135,137,136,134,130,121,112,102,92,82,80,80,71,64,69,102,136,156,150,151,152,117,117,118,122,126,129,132,130,138,115,112,104,100,102,97,89,82,72,69,71,60,44,43,49,100,155,152,151,117,118,119,124,126,133,143,144,153,122,114,101,94,99,93,86,81,75,65,67,68,52,49,46,37,103,160,150,118,119,120,125,124,137,157,154,153,131,116,97,87,89,88,87,79,79,69,65,63,54,52,50,52,42,132,158,117,118,121,124,125,132,149,157,154,127,111,85,79,79,79,83,79,75,74,67,63,57,53,49,54,42,71,164,118,119,120,125,124,138,148,162,152,125,96,76,65,70,72,77,78,74,79,75,60,58,60,52,45,55,37,131,117,119,121,125,124,139,152,163,146,117,77,63,46,58,73,81,86,81,84,81,63,57,64,49,47,57,41,70,117,119,122,125,128,133,154,162,138,98,65,61,34,20,74,84,99,96,97,87,66,60,67,49,50,55,55,34,119,119,121,125,129,128,155,158,125,87,58,49,19,0,50,79,97,118,117,98,67,62,68,51,50,55,59,47,119,119,120,124,129,130,150,149,111,81,52,41,34,16,39,62,101,127,118,98,67,64,60,51,51,53,57,57,118,119,121,125,128,131,143,133,96,75,44,48,47,45,49,40,118,123,102,91,72,65,53,52,53,54,56,58,115,117,119,123,125,130,137,122,83,55,36,54,51,46,38,55,129,109,98,88,71,54,53,53,53,56,57,59,115,117,119,123,126,132,146,116,66,54,28,43,48,64,98,124,121,96,94,79,55,46,52,55,54,56,56,56,117,118,121,125,126,133,146,110,61,81,69,85,122,149,149,129,101,92,85,62,43,48,52,56,57,57,56,55,117,118,120,125,127,134,152,107,52,123,149,149,151,150,139,119,86,77,69,64,47,49,53,55,60,59,58,57,116,118,121,125,126,134,147,96,56,139,146,146,148,149,141,107,79,56,79,82,54,53,53,56,59,58,60,59,114,117,120,124,125,135,142,73,71,149,144,146,147,149,143,106,67,61,121,98,69,60,55,57,58,58,60,60,115,118,121,123,125,135,134,57,89,149,143,145,147,149,146,114,46,94,151,109,85,67,59,56,58,60,61,62,112,114,118,124,122,144,127,48,114,146,143,145,148,151,143,123,53,112,163,118,98,78,66,59,59,59,59,61,112,116,119,121,115,158,100,55,129,136,138,140,140,142,135,121,74,96,157,120,108,89,76,66,62,61,61,64,77,76,79,80,76,103,70,59,80,79,80,84,85,85,85,85,75,71,83,84,114,98,85,75,70,65,63,64,69,68,68,70,69,68,69,67,68,70,69,69,70,68,68,70,68,67,64,63,102,108,94,83,75,71,66,64,72,73,74,74,75,75,74,73,75,77,78,76,75,76,75,75,75,74,75,67,89,118,100,89,81,76,72,69,72,73,73,73,75,74,72,74,75,74,75,74,73,74,74,73,78,82,80,76,79,118,109,95,87,83,77,73,74,74,73,73,74,73,73,75,74,74,74,73,73,75,74,73,74,73,74,75,72,115,117,106,97,90,80,74
5,178,179,182,185,184,184,185,185,186,185,188,186,187,187,188,186,191,180,187,186,185,184,182,182,181,179,179,178,179,182,184,185,185,185,188,184,200,191,159,192,188,189,189,186,212,151,180,190,188,185,184,184,183,182,180,180,181,183,185,187,187,189,190,186,198,218,142,188,192,190,188,195,221,139,176,193,188,188,187,185,184,184,183,183,183,185,186,189,188,188,192,190,194,228,150,180,196,192,187,215,202,135,190,192,190,190,189,188,186,186,185,183,185,187,188,189,192,209,165,189,195,236,170,173,200,192,194,227,172,144,200,191,192,192,190,190,190,188,186,185,187,189,190,192,188,223,162,171,198,240,192,167,201,189,214,223,153,167,200,193,195,192,191,192,191,190,188,188,189,190,191,194,188,221,189,153,204,235,186,161,200,197,219,193,137,187,199,196,196,194,193,193,191,190,189,190,190,192,193,196,190,217,220,156,200,226,177,151,201,203,203,147,149,204,196,197,197,196,195,195,194,191,191,191,191,193,195,196,193,205,240,174,187,226,194,154,197,197,189,129,180,204,199,199,198,197,196,196,195,194,193,193,193,194,195,197,197,201,240,200,162,225,193,162,171,180,179,140,197,202,200,200,201,198,197,196,196,196,195,194,194,195,196,198,199,198,233,235,176,199,188,174,137,159,161,152,203,202,202,202,201,200,199,199,198,196,195,194,195,196,198,200,201,199,217,240,230,184,164,175,132,138,140,169,208,203,204,200,199,199,198,197,197,197,198,197,196,197,200,200,201,202,203,234,240,221,157,153,139,133,125,180,208,200,205,211,215,217,217,210,200,198,188,189,197,200,201,202,203,204,201,217,240,237,200,143,132,132,126,147,185,196,192,175,184,198,185,188,199,187,147,173,199,200,201,203,203,205,206,205,235,240,211,157,133,131,128,135,152,172,153,126,146,157,156,169,176,175,146,193,200,202,203,204,205,207,208,204,224,240,209,157,134,127,126,136,132,126,134,180,208,204,208,205,204,183,158,202,201,202,204,205,207,208,209,206,223,240,210,162,137,125,129,127,126,174,205,213,207,209,202,202,191,155,194,205,201,203,205,206,207,209,210,207,229,240,210,167,140,128,125,108,190,224,210,208,211,202,190,204,155,173,212,201,202,205,207,208,208,209,210,208,233,240,205,165,139,127,120,119,164,189,210,211,196,190,194,187,135,189,209,205,203,205,208,209,208,209,210,213,239,237,199,165,136,120,118,129,125,139,158,169,175,190,190,153,159,208,209,200,204,206,207,208,209,211,209,218,240,232,197,160,132,116,118,122,131,150,151,159,179,174,153,175,211,213,176,136,202,205,207,208,209,211,208,224,240,228,190,154,136,119,123,128,146,162,157,155,162,144,183,213,211,198,131,130,204,206,208,209,210,212,209,230,240,218,179,159,144,121,128,145,158,162,161,142,137,193,216,206,216,181,126,128,205,207,208,210,212,212,212,237,240,208,176,169,149,122,130,151,160,160,151,144,201,217,209,218,186,124,117,106,205,207,210,212,214,211,219,240,237,206,183,171,148,123,128,151,152,151,136,197,221,212,217,208,141,115,112,99,206,208,209,211,212,210,228,240,234,213,191,165,140,118,122,140,142,128,177,222,213,220,183,137,120,111,99,90,209,210,212,213,216,216,237,240,231,213,176,134,114,98,103,112,125,171,221,218,220,172,128,122,115,108,100,88,194,197,200,202,184,200,240,236,217,190,138,100,91,82,89,76,142,229,216,218,167,118,119,113,106,104,106,95
15,74,74,75,77,77,78,81,91,101,110,118,125,132,135,136,139,143,147,151,155,158,161,162,164,166,169,170,172,74,74,76,76,76,78,82,92,101,111,119,126,132,136,137,140,143,148,153,156,159,162,163,166,168,170,171,174,74,74,74,76,78,78,82,93,102,112,119,128,134,136,136,139,144,149,154,156,160,163,164,167,169,172,174,175,74,74,74,76,79,78,82,93,103,112,121,128,134,138,137,139,145,151,154,157,161,163,166,169,170,173,174,176,74,74,77,74,75,77,83,94,105,113,122,129,133,137,138,141,146,151,154,158,162,164,166,169,171,174,174,176,75,76,71,87,102,85,85,94,106,115,122,130,136,138,139,142,146,151,156,159,163,165,167,169,172,174,175,177,75,74,73,162,138,115,114,108,104,108,121,127,126,127,133,143,150,155,158,160,161,165,168,170,173,175,175,178,75,73,80,152,121,107,108,105,94,109,110,112,105,106,108,114,125,140,153,163,168,168,168,170,173,174,176,179,74,76,72,95,95,81,86,76,80,103,93,96,91,111,113,107,107,110,118,125,132,153,174,171,173,175,177,180,75,74,75,74,75,75,78,73,78,82,79,75,81,110,108,105,108,111,120,108,94,88,127,182,172,176,178,181,74,74,74,77,77,79,85,96,104,105,107,104,96,97,93,91,86,114,128,118,104,102,72,132,185,174,179,181,74,74,75,75,77,77,84,97,106,119,126,134,138,121,89,85,117,132,131,124,101,117,97,66,152,185,178,181,74,75,75,76,77,77,85,97,107,113,128,146,135,119,100,127,164,118,133,107,133,124,111,90,73,172,184,181,74,74,74,75,77,76,86,99,103,133,169,139,107,100,88,98,149,99,93,140,146,117,141,114,69,94,191,182,73,73,73,73,75,74,84,98,97,165,168,103,93,103,101,80,99,65,93,179,109,117,148,126,93,53,136,195,73,72,72,73,74,74,84,98,97,152,141,91,101,117,122,115,93,68,106,137,78,113,147,133,101,69,67,151,72,71,71,72,73,74,85,98,98,148,131,74,111,123,133,121,89,86,93,95,102,118,125,117,95,71,63,70,71,70,71,73,73,74,84,98,97,149,177,105,101,124,131,113,80,82,91,96,107,112,99,79,76,68,65,67,70,70,70,72,72,73,83,98,99,149,148,171,131,95,86,80,76,88,90,93,100,113,98,68,67,67,67,71,69,70,69,71,71,73,82,96,100,184,149,153,156,116,81,42,49,77,94,98,107,117,94,69,67,68,70,71,66,68,68,69,69,71,82,94,102,133,146,160,148,139,112,63,23,31,57,106,104,100,79,69,71,73,71,70,69,68,66,67,66,69,80,92,103,110,120,133,125,128,111,103,49,39,54,104,117,97,83,81,83,82,76,71,118,114,110,107,108,110,110,113,115,118,122,123,108,103,127,153,84,41,68,69,111,122,110,97,88,81,74,71,99,98,98,100,102,100,99,99,92,91,94,98,101,97,106,166,88,77,82,68,80,92,92,86,78,73,70,68,103,101,102,102,102,101,102,104,99,98,102,102,103,104,98,112,94,106,106,101,100,87,74,72,70,66,64,64,106,104,103,105,105,104,104,106,106,105,107,106,106,107,108,104,108,105,108,109,123,117,95,79,73,67,63,64,108,108,105,105,107,106,106,107,107,107,107,107,106,106,106,107,108,108,106,105,118,125,115,89,83,93,83,68,107,107,105,105,107,108,108,108,108,108,109,108,107,107,106,107,107,108,107,109,98,125,157,108,116,122,106,89
12,163,166,168,171,173,174,176,178,180,182,183,183,184,185,185,187,186,186,187,186,187,189,188,187,188,189,189,188,165,167,169,172,174,176,178,180,182,184,185,185,186,186,188,188,187,188,189,188,188,190,188,188,189,191,191,191,167,169,172,174,177,179,180,181,184,186,186,187,188,188,188,189,190,190,191,189,190,191,189,190,192,192,192,192,168,171,173,175,178,180,182,184,186,187,187,187,193,195,194,191,193,193,196,197,191,192,193,193,194,194,193,193,170,173,174,177,179,180,184,186,187,189,189,190,186,172,179,195,195,182,160,173,197,192,195,195,194,194,195,195,171,174,176,179,180,182,185,188,189,190,189,204,194,165,134,179,210,188,155,107,191,199,195,203,197,196,196,196,173,175,178,181,183,185,187,189,190,191,190,225,216,191,152,128,214,188,163,123,137,153,148,157,202,197,198,198,174,177,179,181,184,187,188,191,192,193,196,224,227,200,165,122,210,199,166,141,80,136,147,103,159,208,199,200,176,178,180,184,186,187,189,192,194,194,203,214,229,217,181,136,199,210,164,126,80,159,156,100,105,210,199,202,178,180,182,185,187,188,191,193,195,193,204,169,150,207,188,131,177,198,149,109,83,167,158,98,95,205,203,203,180,181,184,186,187,191,192,194,192,212,208,149,106,145,174,115,162,176,143,116,82,156,154,107,93,205,205,205,180,183,185,187,190,193,195,193,211,217,201,155,129,107,157,109,148,175,137,109,84,160,149,109,98,207,204,206,181,183,187,188,190,193,194,202,211,188,205,173,142,95,120,111,132,172,142,102,95,178,165,113,104,215,207,206,182,185,187,189,192,194,193,209,194,156,195,171,136,96,91,136,127,188,168,112,121,224,193,116,137,219,206,207,182,185,187,191,193,195,197,211,201,162,166,169,139,95,76,140,115,166,160,103,99,192,156,84,124,219,207,208,184,186,188,192,194,195,201,207,189,152,150,178,127,100,52,80,63,73,151,113,133,162,116,107,88,162,218,205,185,186,189,193,196,196,203,215,191,160,142,172,116,100,61,51,52,130,197,195,188,177,150,125,97,118,219,207,185,188,191,193,196,197,208,214,189,159,124,156,117,108,60,65,116,196,200,193,177,164,139,114,91,136,220,208,186,188,190,193,196,195,208,213,191,171,136,124,128,121,69,96,184,207,210,197,169,154,132,109,87,169,221,210,186,189,192,194,197,196,209,213,196,180,166,135,118,109,116,156,216,210,219,192,159,146,125,104,91,194,219,212,187,190,192,195,198,199,209,214,204,185,174,169,144,132,156,170,216,217,217,182,150,137,116,95,119,215,214,213,189,190,192,195,198,199,206,214,206,191,180,177,168,144,148,161,219,218,199,173,144,127,112,87,164,223,213,214,189,191,194,197,198,199,203,206,202,196,185,177,168,150,139,168,220,212,183,162,138,118,105,91,198,218,214,215,189,192,196,199,199,201,203,201,200,197,184,178,167,152,135,169,203,199,166,147,128,110,94,114,220,213,215,216,189,192,195,198,200,201,205,203,203,202,185,178,169,153,131,166,189,176,151,134,119,108,85,162,226,214,217,217,190,192,194,197,198,200,202,203,207,198,182,172,162,144,126,164,173,149,137,120,110,98,107,211,217,217,218,217,190,192,193,197,199,200,201,201,208,190,169,161,144,127,131,158,160,138,130,112,106,92,168,220,213,215,216,217,190,192,193,197,199,201,200,199,212,187,171,160,133,129,137,158,154,136,123,110,96,127,218,212,213,215,217,217
10,97,97,99,102,103,114,130,140,161,159,152,172,173,179,183,187,190,193,195,198,200,202,203,204,204,205,206,206,97,97,99,102,103,115,131,140,175,165,124,161,181,180,185,188,192,195,198,201,203,204,205,207,207,207,208,208,97,97,100,102,104,116,133,145,164,169,136,119,173,186,186,190,193,197,200,203,205,206,207,209,209,209,210,209,97,98,100,102,105,119,135,149,157,163,144,117,121,189,189,192,196,199,201,204,206,208,210,210,210,211,212,212,98,98,100,102,105,122,138,151,159,165,147,130,107,150,198,193,197,200,204,207,209,211,212,213,213,213,214,214,97,98,101,101,106,123,139,152,161,165,164,143,128,107,180,200,199,203,207,210,211,213,215,215,214,214,216,216,97,98,101,102,107,125,140,154,161,166,177,163,135,112,125,203,201,206,210,211,213,215,215,216,216,216,217,217,98,99,101,100,112,129,145,153,174,141,161,183,154,141,107,180,210,207,210,213,215,215,216,217,218,219,219,219,98,100,97,138,155,114,131,163,184,127,116,189,177,153,119,141,213,207,211,214,216,216,218,218,219,220,221,220,97,100,95,146,147,100,92,121,152,134,95,150,195,151,129,107,196,212,211,214,216,219,220,220,221,222,222,221,97,100,99,107,119,102,96,90,99,129,115,101,179,161,127,105,153,220,211,216,217,220,221,222,222,222,222,223,97,99,102,101,116,119,99,94,94,128,136,114,113,159,139,138,106,200,218,217,219,221,222,223,223,223,223,224,97,98,102,102,117,137,139,118,99,122,149,131,103,104,125,142,104,149,224,217,221,221,223,224,224,225,226,225,97,98,101,103,119,137,154,166,147,111,152,149,126,96,98,117,111,107,208,222,222,222,223,225,225,226,226,227,96,97,99,103,120,137,149,174,183,121,104,175,153,123,95,92,104,96,187,227,220,223,223,225,226,226,226,227,96,97,98,103,120,142,157,177,186,154,77,154,184,146,120,99,100,92,173,227,219,222,222,224,225,226,226,227,96,96,97,103,118,162,177,170,199,173,101,107,201,161,142,117,98,88,159,229,220,222,223,224,225,226,227,227,94,95,96,103,119,152,188,165,189,180,127,134,200,173,157,126,99,87,148,228,220,223,225,226,226,227,227,228,96,95,94,102,121,137,173,169,166,177,145,165,191,158,154,122,104,93,141,229,221,223,225,225,226,226,227,227,127,124,124,127,132,135,151,170,167,188,158,153,190,151,150,124,106,97,131,223,222,225,227,229,231,232,233,235,121,123,126,128,127,123,129,173,175,184,190,150,176,161,152,130,108,100,113,155,158,161,164,167,171,174,178,181,125,124,125,128,130,132,127,176,198,174,199,155,122,161,150,132,112,104,103,133,139,139,140,138,138,137,137,137,124,125,127,129,131,132,128,150,202,187,179,170,121,142,147,130,114,105,101,133,147,143,144,145,146,146,147,147,124,126,127,129,130,132,132,135,188,195,188,196,186,153,141,126,113,104,101,127,145,141,142,144,144,144,145,146,124,126,127,128,130,131,133,129,160,191,193,188,196,175,137,118,113,107,103,125,144,142,142,143,143,144,145,145,123,124,126,127,129,130,131,133,134,178,195,186,183,181,142,117,118,113,104,125,143,142,142,143,143,143,144,145,123,123,124,127,129,130,132,134,131,148,188,184,173,165,151,134,131,119,101,118,143,142,142,145,142,142,143,142,122,123,124,126,128,129,131,132,133,130,166,176,165,154,154,152,145,128,107,108,138,142,142,142,143,144,139,166
14,145,149,152,155,158,160,161,163,166,167,168,170,173,173,173,173,175,176,178,179,180,180,180,181,181,181,182,182,146,149,153,156,159,161,163,165,166,167,170,172,174,174,176,177,179,179,179,180,180,181,181,182,182,182,183,183,147,150,155,158,159,161,164,166,167,168,169,170,171,178,158,156,167,169,180,183,184,182,182,183,182,182,184,185,149,151,155,158,161,162,165,167,168,167,174,177,178,170,124,116,155,160,174,155,165,187,183,183,183,182,185,185,149,151,155,158,160,163,165,167,168,183,185,170,151,136,120,111,145,164,156,113,140,193,183,186,186,186,186,186,150,153,156,160,161,164,165,170,194,195,167,119,102,107,119,117,126,134,131,104,103,180,187,186,188,187,187,187,151,153,158,161,163,165,164,199,199,169,135,96,77,84,103,115,139,132,138,143,122,151,184,187,188,188,187,187,151,154,158,161,165,162,174,209,163,119,92,99,91,103,113,88,105,125,129,154,162,136,145,194,187,189,188,188,152,156,159,162,165,161,195,197,138,93,87,97,92,119,111,94,112,125,135,127,133,108,113,192,189,188,189,189,153,157,160,162,164,168,209,176,128,87,85,85,87,103,92,115,129,97,132,148,139,130,120,142,194,191,190,191,153,157,160,163,161,184,205,154,103,83,91,97,96,85,89,121,119,109,181,195,184,154,136,117,157,185,191,190,153,158,160,165,163,202,183,135,105,101,96,102,99,100,104,96,110,173,192,188,191,191,162,157,128,175,195,191,154,159,162,162,177,211,174,138,121,102,96,99,99,106,111,91,157,197,187,189,193,179,167,154,125,193,192,192,154,159,163,160,199,209,169,135,112,98,94,94,98,106,101,117,192,188,190,191,192,169,170,127,149,201,191,193,154,159,163,161,205,197,162,134,103,93,92,95,102,104,90,135,197,186,191,193,188,163,164,112,153,203,192,194,155,160,164,163,210,194,155,121,95,93,95,99,104,95,87,119,192,193,193,192,155,159,160,116,137,202,192,194,155,160,161,170,214,184,154,124,99,95,98,102,105,104,111,115,146,184,185,168,165,167,157,114,147,202,192,194,156,161,160,181,215,181,153,122,101,94,96,107,109,118,130,139,131,128,150,168,176,170,136,136,193,195,194,194,156,162,157,192,212,178,151,121,103,96,98,106,115,127,138,147,150,140,167,172,171,145,140,195,197,194,194,194,156,162,158,200,205,177,152,127,107,97,100,110,128,139,150,150,152,147,162,168,140,138,194,198,196,197,195,195,156,161,160,207,198,175,151,129,113,100,99,118,142,152,161,159,151,148,144,137,127,191,198,196,197,197,196,195,156,160,165,206,191,172,149,134,115,102,100,126,155,159,158,159,155,146,115,118,186,197,194,197,197,197,197,197,157,160,171,204,183,167,153,138,118,104,101,133,161,156,156,155,155,125,123,186,199,194,196,197,197,197,197,197,159,158,176,201,177,168,159,139,124,109,105,132,161,155,143,150,134,124,191,199,194,197,197,198,198,198,197,197,158,157,186,203,178,174,161,140,125,115,104,123,151,145,134,135,120,181,200,195,197,197,197,198,198,198,197,197,157,157,200,203,184,178,160,140,126,114,103,116,136,129,134,111,170,199,194,197,197,197,197,198,198,198,198,198,157,164,211,197,190,177,149,132,120,107,105,116,121,116,127,168,199,192,195,198,198,198,198,198,198,198,198,198,152,180,211,188,186,167,134,123,113,105,111,113,106,119,174,199,193,194,195,198,198,199,199,199,199,199,199,199
0,207,207,208,206,208,208,207,209,208,209,209,211,209,209,209,206,208,209,209,210,209,208,208,210,208,207,207,207,208,207,207,207,209,211,211,212,211,210,207,209,209,209,210,209,210,207,210,212,208,210,210,210,211,208,208,208,209,209,209,210,211,213,213,210,212,213,210,211,213,213,212,213,213,210,211,212,212,211,211,210,212,208,207,207,211,211,211,211,213,214,211,210,205,184,201,215,203,210,215,208,207,215,218,214,217,213,210,211,213,210,208,208,212,213,212,213,213,214,210,218,214,145,97,157,176,152,167,197,183,154,188,206,198,211,217,213,211,213,211,210,211,214,213,215,214,213,215,211,213,148,51,93,187,129,74,153,182,104,73,145,132,114,153,210,214,209,213,212,213,214,214,214,212,211,209,174,195,163,93,75,164,117,59,121,154,91,50,125,127,70,60,131,213,213,212,213,214,215,214,215,213,207,199,163,150,185,138,57,117,119,47,111,140,77,51,138,124,68,67,111,139,226,212,213,214,216,216,216,215,209,198,171,126,136,133,48,100,116,33,96,159,91,45,145,145,73,75,150,94,162,226,213,214,217,216,217,218,208,195,170,128,99,89,56,104,99,19,106,159,75,55,164,157,129,113,123,106,78,215,216,216,217,216,218,216,207,198,188,160,108,82,73,88,73,36,92,124,87,153,173,156,143,115,88,76,68,207,218,217,218,219,219,217,210,206,195,181,151,94,73,65,78,97,94,128,175,188,176,163,132,110,95,65,84,220,217,219,219,220,220,219,212,211,200,191,179,137,79,74,86,97,128,182,192,191,183,165,128,100,90,56,112,234,215,219,219,220,220,219,207,218,209,201,196,169,118,110,100,106,160,190,196,204,190,159,123,96,85,50,162,233,216,219,219,220,221,221,195,216,219,210,205,186,156,144,129,118,162,177,197,208,191,152,117,95,73,77,212,222,217,220,220,221,219,224,197,201,223,222,215,195,176,165,152,137,150,184,204,200,183,140,105,99,62,140,231,218,220,219,221,222,220,225,208,183,220,227,220,204,189,175,166,154,146,168,197,194,172,131,98,94,59,194,229,219,221,220,221,222,221,220,225,172,203,224,225,213,197,186,177,159,146,153,176,177,149,116,96,74,84,224,221,221,220,222,222,224,223,220,231,189,178,222,226,215,190,185,173,157,148,147,162,161,124,100,90,50,147,236,217,222,223,222,222,222,224,226,223,219,167,216,224,202,179,185,168,160,151,132,139,146,113,96,66,86,220,224,220,222,223,223,223,223,225,225,223,224,185,219,223,205,191,199,181,164,147,121,122,129,111,83,60,188,231,223,225,224,224,223,224,223,225,224,224,225,192,219,228,216,198,210,188,162,147,121,112,118,110,60,130,234,220,225,228,225,225,223,224,223,224,224,224,227,183,210,228,222,203,207,183,159,142,124,110,113,106,53,183,231,221,225,228,225,225,224,224,223,224,224,226,229,182,207,229,223,205,196,179,156,140,128,109,105,94,65,207,225,224,225,226,225,225,222,223,223,223,224,225,223,198,213,226,221,207,193,178,160,140,128,111,97,83,78,227,225,224,225,225,225,225,222,223,224,224,225,226,214,205,223,212,215,203,189,175,160,139,125,110,93,79,94,233,222,225,225,225,225,225,222,223,225,226,225,226,210,203,214,211,214,194,180,172,158,139,120,102,90,69,120,229,218,225,225,225,225,225,223,224,225,225,223,227,208,197,210,214,213,193,171,162,154,137,114,91,84,60,155,225,219,226,225,226,225,225
6,187,188,190,191,191,191,192,192,191,191,191,190,189,188,188,188,187,186,185,184,183,182,182,181,180,178,175,174,188,189,191,193,193,194,194,193,193,193,193,192,191,189,189,188,188,186,185,185,185,184,183,182,181,179,177,175,189,190,192,194,195,195,195,195,195,194,194,193,192,191,190,190,189,188,187,186,186,185,184,182,181,180,179,177,190,192,194,195,196,197,197,197,197,196,195,195,194,193,192,191,191,190,188,187,187,186,185,183,182,181,179,179,191,193,195,196,198,199,198,198,199,198,197,197,196,194,193,192,191,189,186,182,182,183,182,179,178,176,176,181,193,194,196,198,199,200,200,199,199,199,198,196,194,192,187,185,182,181,175,164,165,173,172,165,168,167,177,193,194,196,197,199,200,201,200,200,200,198,188,181,182,183,181,181,182,180,172,163,161,170,169,160,161,160,165,179,195,196,199,200,201,201,201,201,204,201,182,169,172,178,180,182,182,178,166,153,147,146,144,138,138,138,139,146,196,198,199,201,202,202,202,202,211,208,189,174,166,165,165,162,158,150,140,125,109,103,104,125,144,152,161,169,198,199,200,201,202,203,203,207,218,215,200,182,164,155,152,147,141,132,119,102,83,73,98,159,182,184,185,185,199,200,201,202,204,205,205,214,224,220,204,175,150,144,147,151,149,142,132,123,111,97,140,185,190,189,187,186,200,201,203,203,205,205,206,220,227,221,194,156,137,137,141,148,152,147,139,132,123,110,156,191,192,190,188,187,200,202,204,205,206,205,210,225,226,216,181,150,141,136,130,136,146,140,134,130,116,108,163,193,193,191,189,188,201,203,205,206,206,205,216,226,225,218,195,174,155,139,128,134,146,142,136,132,117,120,177,195,194,192,190,189,202,204,206,207,206,209,222,226,225,224,217,198,164,141,141,147,148,141,131,122,115,117,172,195,194,193,191,189,203,205,206,207,205,215,225,227,226,223,219,201,160,136,136,139,140,135,124,115,108,111,171,195,195,194,192,190,202,204,205,204,206,219,226,227,222,217,212,194,161,139,127,120,124,128,125,116,103,128,184,196,195,194,192,190,201,203,203,198,209,221,225,224,218,213,207,199,182,159,128,108,116,128,125,115,104,144,191,196,195,193,191,189,202,203,198,197,215,223,224,221,219,215,208,205,201,177,137,116,125,135,126,111,101,127,185,196,195,192,184,168,203,202,195,204,218,222,221,219,218,213,207,209,201,169,131,116,119,119,110,99,95,127,186,196,189,172,135,97,202,197,200,212,218,217,214,210,206,203,202,200,183,150,123,114,110,108,104,103,117,159,183,168,135,98,66,50,198,195,206,213,215,210,203,198,193,193,189,176,155,132,118,108,109,129,136,143,151,145,118,85,60,47,41,39,191,199,209,211,210,201,191,187,185,182,175,158,139,125,118,109,121,136,125,111,91,69,45,33,33,35,34,33,188,204,209,208,200,190,179,175,177,172,162,149,134,116,96,76,70,62,52,46,42,37,21,20,25,30,30,30,197,208,208,203,194,182,170,163,161,152,141,128,109,85,62,44,33,31,30,32,34,27,12,14,20,26,28,27,207,209,206,199,186,168,154,148,140,125,110,93,72,51,41,38,26,21,24,28,30,22,8,11,18,24,26,24,210,209,205,196,172,149,143,137,125,107,81,60,44,33,31,36,27,18,22,24,25,17,5,10,18,24,24,23,211,208,203,189,156,141,146,137,118,92,59,42,31,26,27,33,27,19,21,20,22,14,4,10,18,23,21,20
12,183,183,185,187,187,190,191,191,190,190,190,189,189,188,188,186,187,187,185,185,185,183,183,182,180,179,179,178,184,184,185,188,189,191,192,191,192,193,192,192,191,190,192,193,191,187,188,187,184,184,184,183,181,181,182,180,185,186,186,189,192,192,192,193,194,194,193,195,192,192,179,161,180,191,180,183,196,188,185,183,183,183,184,183,186,186,188,191,192,193,194,194,194,195,194,195,192,188,153,107,77,170,146,103,111,183,192,186,182,184,184,184,186,187,192,192,192,194,194,195,196,197,193,193,197,164,128,94,75,150,121,95,24,118,178,180,193,184,185,184,187,190,191,193,195,194,195,197,195,195,184,140,172,166,148,65,118,172,128,90,74,141,119,74,133,195,184,184,190,191,191,194,197,197,196,196,197,203,187,124,152,207,151,60,163,188,130,95,112,125,102,61,33,137,196,184,191,192,192,195,196,198,198,195,207,219,192,137,132,193,118,56,191,188,110,99,164,142,102,68,40,59,194,185,191,193,194,195,197,200,200,195,214,202,182,133,75,82,86,32,107,130,51,116,204,142,122,61,22,50,189,188,193,194,195,196,199,201,198,204,226,198,155,112,78,12,1,60,115,138,108,161,203,136,85,32,20,57,192,186,193,195,196,197,200,199,203,219,198,186,131,96,72,3,80,186,193,179,164,180,132,80,55,54,29,59,200,188,194,195,198,199,200,197,218,221,181,144,130,149,66,109,205,194,179,169,148,161,161,98,99,93,45,95,203,188,195,197,199,199,201,201,231,215,187,159,129,156,143,217,205,184,174,180,156,156,155,112,77,79,35,155,201,189,196,199,200,201,202,207,232,220,201,197,162,163,193,200,205,180,184,172,144,158,135,90,59,46,37,188,194,191,197,199,202,202,201,209,231,226,210,195,182,170,184,186,191,180,179,162,154,150,113,70,52,24,67,207,190,192,198,200,203,204,204,209,230,227,211,188,169,168,172,181,188,178,174,157,150,121,84,52,45,12,108,211,191,194,198,199,202,202,203,208,227,223,195,169,163,174,173,187,193,178,164,149,123,87,59,43,38,6,145,210,195,194,197,201,203,203,204,208,211,202,188,186,183,177,176,199,185,165,142,131,103,69,53,42,16,42,197,200,197,194,199,202,202,206,206,213,222,223,217,208,192,170,173,196,171,142,118,109,80,60,52,17,25,169,205,197,198,198,200,201,203,206,205,221,230,224,214,198,184,169,167,186,157,123,104,85,67,51,16,48,170,207,197,199,198,199,200,203,204,204,207,229,228,222,209,186,174,171,172,168,139,113,89,71,41,30,111,196,209,200,201,201,201,200,199,202,204,202,211,231,222,212,201,184,167,168,172,156,129,97,66,34,42,165,214,203,201,202,201,201,200,198,207,202,202,198,220,219,208,195,193,182,158,163,159,132,111,89,45,28,169,213,200,203,201,201,201,200,198,196,154,200,209,202,219,199,192,183,181,168,167,163,149,118,91,70,30,129,211,200,204,203,202,201,201,200,199,198,51,55,127,225,203,180,170,166,166,176,166,150,140,106,80,46,50,194,207,206,204,204,203,201,201,200,199,199,62,42,36,159,191,169,158,166,178,181,152,134,127,93,69,23,103,216,207,207,206,204,203,202,201,200,201,200,51,54,55,35,57,74,70,80,101,120,117,117,108,79,52,20,164,215,206,208,207,205,204,202,201,200,202,198,49,46,53,38,0,1,9,4,2,5,12,33,55,55,20,59,198,208,207,207,207,206,204,202,200,200,200,199
4,182,184,185,186,188,188,187,187,187,188,189,188,188,189,190,189,189,189,189,189,189,189,188,188,187,187,187,186,185,186,187,188,189,190,189,189,190,190,190,191,190,184,178,184,189,179,174,187,192,190,191,191,189,188,188,188,187,188,188,189,191,192,191,191,192,191,188,188,193,185,164,151,162,165,151,148,176,193,193,193,192,190,190,190,189,189,189,191,192,193,193,194,193,190,178,163,160,186,193,155,113,123,155,126,105,181,195,193,194,193,193,192,191,190,191,193,193,194,194,193,195,203,198,168,126,121,187,155,110,70,113,123,81,157,198,195,195,195,195,195,193,194,194,195,194,192,190,165,148,175,181,184,132,85,149,161,111,66,79,119,86,145,201,198,196,196,196,195,195,196,196,196,196,198,195,158,102,97,131,187,159,89,97,167,147,83,64,137,104,143,202,200,199,198,198,196,197,196,196,197,198,184,171,164,115,71,76,174,187,111,74,169,171,105,64,132,122,153,203,201,200,199,199,199,196,197,198,198,197,184,139,152,150,100,54,137,182,117,75,139,167,114,64,96,107,156,204,202,202,201,201,201,198,199,200,200,200,187,132,124,153,117,72,95,118,100,82,95,120,96,67,80,82,104,196,204,204,203,202,201,200,200,200,201,202,197,175,151,132,102,76,87,91,95,101,102,99,84,80,110,112,96,156,206,204,203,203,202,200,201,202,203,205,204,183,156,126,101,89,96,97,101,117,114,113,93,115,152,149,129,115,191,207,205,205,204,201,202,203,204,206,205,177,147,125,107,106,109,115,131,136,150,164,164,138,158,160,137,95,142,208,206,206,205,202,203,204,204,206,202,171,137,119,104,111,123,136,159,174,183,198,197,184,168,147,114,83,94,197,208,207,207,203,205,206,205,206,208,184,152,126,114,121,131,145,190,187,191,198,194,184,165,138,104,79,82,187,209,207,207,204,206,207,207,206,211,197,163,134,117,120,134,158,198,190,195,196,193,179,161,137,103,78,99,201,209,208,208,205,207,208,208,207,208,204,177,148,123,122,140,160,199,197,204,205,194,179,160,132,99,75,143,212,211,211,210,206,207,208,208,208,208,209,191,159,131,132,151,156,197,205,211,211,202,185,155,120,94,82,186,216,213,212,211,207,208,209,209,209,208,209,201,169,141,143,162,160,194,208,216,218,214,185,145,111,84,110,210,215,214,212,211,207,208,209,210,211,207,204,206,180,146,149,163,168,196,208,219,221,209,172,136,108,77,153,217,215,214,213,213,208,210,211,211,211,205,196,200,188,155,151,161,169,200,208,217,213,187,152,125,99,85,192,217,215,215,214,213,209,210,212,212,213,206,191,200,195,170,155,157,168,195,206,202,191,165,137,113,85,119,214,216,215,215,214,214,208,210,211,212,214,212,193,194,196,182,166,162,169,184,196,188,168,147,120,96,87,180,219,217,217,217,216,216,207,208,209,210,211,214,202,185,188,184,173,167,165,166,172,166,146,123,96,78,139,215,217,216,218,217,216,215,208,209,209,210,211,214,208,185,186,181,172,167,157,150,156,153,132,102,79,88,197,217,217,216,217,216,215,214,209,210,211,211,212,213,210,187,185,173,164,161,150,139,142,140,114,86,71,122,216,217,217,217,217,216,216,215,209,211,212,213,213,213,211,190,181,157,149,154,146,141,139,127,102,83,70,155,218,218,219,217,216,217,216,215,210,211,213,214,214,214,212,192,188,163,159,167,159,151,139,122,103,86,72,176,217,218,218,218,217,218,217,215
21,154,156,158,159,160,160,160,161,162,162,162,163,164,164,164,163,163,162,162,164,163,162,161,160,159,158,157,156,157,159,162,163,164,163,164,165,166,166,163,144,163,167,167,167,166,166,167,167,166,165,164,163,161,160,160,159,161,163,165,166,168,168,168,168,169,171,170,116,145,173,170,171,171,170,169,169,168,168,167,166,165,165,164,162,165,166,168,169,170,171,172,173,173,174,175,116,127,176,175,174,172,174,173,172,171,171,170,168,168,168,166,165,168,170,172,173,174,174,175,176,176,177,179,118,112,178,177,165,141,162,178,176,175,174,173,172,172,171,170,167,172,173,175,177,179,179,179,180,180,180,186,134,108,176,180,161,119,125,181,180,178,177,176,175,176,174,173,171,175,177,180,181,182,182,182,182,183,182,195,162,111,168,185,161,119,109,180,184,182,181,180,179,178,176,175,173,178,180,182,182,184,184,185,186,186,185,199,172,113,154,188,163,122,105,175,188,185,184,183,182,180,180,179,177,181,182,185,185,186,187,188,188,188,187,200,182,127,143,191,171,140,112,172,190,188,187,186,185,184,183,182,180,183,185,186,188,188,189,190,190,190,189,181,169,146,133,192,170,142,113,169,192,190,189,188,187,186,186,184,182,186,188,188,189,190,191,191,192,192,196,175,138,125,123,190,167,151,114,169,196,193,191,190,189,189,188,187,185,188,189,190,191,192,193,193,195,194,208,195,148,95,107,185,171,165,127,169,198,195,193,193,192,191,190,189,188,189,191,193,194,195,196,196,196,197,207,203,155,116,141,150,142,147,130,140,196,197,196,195,194,194,193,191,190,191,193,195,196,196,198,199,197,190,177,187,157,109,123,121,132,127,130,121,176,200,198,197,196,195,194,193,192,194,196,197,199,199,201,201,200,182,132,145,167,99,65,99,115,106,158,138,144,201,200,200,199,198,196,195,194,195,197,199,201,201,202,202,203,190,144,110,170,126,70,77,81,133,189,166,126,184,202,201,200,200,198,197,195,196,199,200,201,202,202,204,198,188,166,108,153,141,74,90,143,144,183,171,122,142,204,202,201,201,199,199,198,198,200,200,202,203,204,206,207,178,164,110,92,92,62,96,177,178,167,141,107,106,195,204,202,201,200,200,199,199,201,201,203,205,206,204,197,164,151,111,78,66,80,135,188,191,162,118,95,103,194,206,204,202,201,200,200,200,202,203,206,208,207,204,199,186,145,130,108,83,122,181,199,186,157,115,90,123,205,207,206,204,203,202,201,201,203,204,206,207,209,206,206,183,160,142,131,103,157,204,200,187,153,111,85,159,212,208,207,206,205,203,202,202,204,206,207,208,209,208,209,193,170,141,170,164,199,214,207,185,137,100,90,189,212,209,208,207,207,205,203,203,205,206,208,209,210,210,206,200,166,159,175,188,215,224,211,170,121,88,113,208,211,210,209,209,207,206,205,204,206,207,208,210,210,210,196,195,178,172,163,184,207,216,196,149,110,84,148,216,214,211,210,209,208,208,206,204,205,206,208,209,210,210,193,190,183,175,162,175,192,190,165,123,95,92,188,216,214,213,212,210,209,210,209,202,205,206,208,208,209,212,202,182,178,173,168,161,166,167,136,100,82,138,213,215,214,213,212,211,209,207,193,203,205,207,208,209,209,212,211,183,176,170,171,153,151,153,121,87,91,192,215,215,214,213,212,211,208,198,138,205,206,208,208,210,211,212,213,188,171,159,158,144,141,141,113,78,114,210,215,215,215,214,212,213,181,149,109
18,152,153,155,157,159,162,163,164,165,166,168,170,169,170,170,170,170,170,171,172,172,173,174,174,174,175,174,174,154,155,158,159,161,164,165,166,169,169,171,172,172,172,172,173,172,172,173,174,176,175,176,176,176,177,176,177,155,157,160,161,164,165,167,170,172,172,173,174,174,174,175,175,175,175,176,177,177,177,177,177,178,179,178,177,157,159,162,164,165,167,170,171,172,174,175,176,177,177,177,177,176,177,177,177,178,179,180,178,179,180,180,180,159,160,163,165,168,169,171,173,175,176,177,178,178,179,180,179,178,179,181,184,182,180,184,183,184,182,182,183,160,161,164,167,169,170,172,175,177,177,178,179,180,181,181,182,181,183,168,164,179,185,163,143,160,185,185,185,163,164,167,169,171,172,175,177,178,179,179,181,182,182,183,182,183,185,155,145,169,188,155,108,116,152,194,183,165,166,169,171,172,174,177,179,180,181,182,183,184,185,182,185,184,174,171,170,186,175,174,132,101,106,185,189,166,169,171,173,175,176,179,182,183,183,184,185,185,186,188,165,168,159,171,173,169,149,191,151,108,79,162,199,168,170,172,175,176,179,181,183,184,185,185,186,181,201,197,149,127,139,155,150,116,155,208,160,124,80,148,201,170,171,173,176,177,180,182,184,185,186,184,195,148,155,188,153,128,119,152,114,86,193,206,169,139,86,145,202,170,172,175,176,179,182,183,186,187,183,200,210,143,108,183,170,154,122,190,135,90,203,211,187,155,93,151,205,171,173,176,178,180,184,186,188,186,196,198,204,163,122,160,188,159,117,162,163,118,179,217,197,156,104,116,205,172,175,178,180,182,185,187,187,193,201,163,201,185,143,131,186,159,131,92,143,195,202,195,175,148,121,87,180,173,176,179,181,183,186,188,186,203,207,163,191,193,156,117,163,169,133,152,193,198,201,173,161,147,133,88,161,175,177,180,182,185,188,189,194,203,185,149,163,175,143,100,132,145,161,212,199,185,181,164,151,147,124,94,183,176,179,182,184,186,188,189,193,210,188,150,147,135,110,86,80,142,213,207,194,178,167,159,137,131,99,121,207,178,181,183,185,187,190,191,192,209,192,169,148,101,96,70,87,207,208,197,187,177,167,141,122,110,85,171,207,180,182,184,186,189,192,192,194,210,198,184,155,119,147,111,173,217,205,198,183,173,158,126,110,95,107,205,201,179,182,186,187,189,192,192,198,211,208,178,148,175,165,157,219,207,206,191,175,164,140,114,105,87,141,212,202,181,184,187,189,190,193,192,204,209,211,169,165,185,151,191,224,214,199,183,171,154,124,103,100,90,187,208,203,182,186,187,189,193,195,192,203,214,207,172,174,183,144,214,216,215,191,172,156,136,110,100,86,136,211,202,205,183,186,188,190,193,195,197,194,205,209,179,185,173,153,223,216,203,181,165,145,118,101,96,94,196,209,205,206,185,187,189,192,194,196,200,195,196,201,186,192,171,182,205,206,187,166,154,134,110,104,82,142,216,204,206,206,185,188,191,193,194,196,200,198,190,198,188,197,183,179,186,190,176,162,143,125,110,96,98,200,209,208,207,207,186,190,192,194,195,197,199,200,189,203,197,190,178,161,176,187,178,154,133,118,106,84,159,215,207,209,209,209,186,190,191,194,196,198,200,201,188,193,177,168,163,154,175,180,173,149,121,111,91,107,206,208,209,210,210,211,187,189,192,195,197,199,201,203,194,184,162,168,166,181,184,181,167,144,120,108,83,150,216,208,210,210,211,211
15,117,125,134,142,147,148,152,159,165,169,173,176,180,182,185,187,190,193,195,196,198,200,200,201,201,202,203,203,117,127,135,143,147,149,153,161,166,170,174,177,181,185,187,189,192,194,196,198,200,201,202,201,202,205,205,204,119,129,137,144,148,149,155,162,166,171,175,180,182,186,188,191,194,196,198,199,201,202,203,205,206,206,207,207,121,130,138,145,150,152,157,164,168,173,177,179,183,187,190,192,195,197,200,201,202,204,205,207,207,207,208,209,121,131,140,148,151,154,160,164,171,176,178,182,186,189,192,194,196,199,201,201,204,206,208,208,209,209,210,210,122,132,143,146,148,153,159,166,173,178,181,185,188,190,194,197,198,199,202,204,207,207,209,210,211,211,211,212,124,134,139,169,182,163,164,167,174,178,183,187,191,191,194,199,200,202,204,207,208,210,210,211,211,212,213,214,125,136,137,220,212,182,180,173,178,183,184,183,187,194,198,201,201,205,206,207,209,212,212,213,214,214,215,215,126,137,142,184,196,179,178,169,187,190,186,181,167,173,187,192,197,206,208,211,213,214,214,215,217,217,217,217,127,137,147,154,162,158,153,151,172,176,179,180,172,181,177,179,185,195,201,191,196,209,219,214,217,219,219,219,130,138,149,157,158,159,163,165,170,169,164,162,170,182,178,172,167,179,198,190,179,167,184,223,219,217,220,221,131,140,151,157,159,162,171,177,182,184,180,174,173,170,164,157,154,177,190,204,183,165,152,170,224,222,219,222,131,142,152,159,161,164,172,178,181,187,192,195,198,195,186,170,179,195,190,192,187,174,177,158,159,220,225,223,133,143,153,160,163,165,173,179,183,188,192,194,199,204,207,233,223,203,162,168,206,171,186,186,151,148,223,227,133,143,154,162,164,166,174,180,185,190,191,203,205,177,179,210,217,186,131,138,213,166,190,189,182,138,148,227,134,144,156,163,164,167,175,181,186,192,191,222,203,163,165,217,228,187,148,154,186,181,194,186,174,155,124,142,137,147,156,164,165,168,176,181,187,193,194,212,179,160,172,226,230,182,153,160,157,166,180,166,154,154,140,123,139,149,157,165,165,168,176,183,188,194,198,201,199,165,178,222,211,171,157,167,167,165,175,159,134,144,145,141,137,149,159,165,166,169,176,185,189,194,200,197,245,239,162,140,144,144,166,182,177,180,183,164,143,146,145,141,138,149,160,166,168,171,179,185,189,194,202,198,235,252,190,105,65,52,67,103,164,178,177,162,160,156,139,131,140,150,161,167,169,173,179,185,191,196,202,198,231,249,189,117,88,71,45,28,90,163,159,151,136,117,100,85,141,151,161,167,169,174,181,186,192,196,202,201,225,254,169,118,136,128,99,70,53,99,109,94,76,67,63,53,141,153,161,166,168,175,181,186,192,197,203,204,217,255,176,142,174,155,150,143,95,73,69,68,65,63,63,58,140,152,160,165,166,173,178,185,191,196,202,205,210,255,199,137,187,162,156,121,83,76,74,72,68,65,63,61,140,151,160,165,166,173,179,187,192,197,201,205,203,244,220,126,215,218,167,99,74,71,72,72,69,66,64,62,140,152,162,165,168,174,182,188,193,199,202,208,204,240,204,119,220,235,177,89,71,70,71,73,69,66,68,68,140,152,162,166,169,174,182,189,195,200,203,208,210,224,159,181,227,233,191,90,82,77,74,69,68,68,69,67,140,153,163,168,171,175,182,188,195,200,203,207,212,214,210,224,223,227,230,126,90,83,76,69,69,69,68,64
17,182,183,186,187,190,193,195,196,197,198,200,202,202,203,205,206,207,209,211,209,210,211,212,211,212,212,212,213,181,183,186,187,189,195,196,197,198,200,202,203,203,203,206,208,210,211,213,215,213,217,214,212,214,213,213,214,181,184,187,190,194,195,196,197,199,201,201,205,207,206,206,209,211,212,203,195,209,179,207,216,215,214,215,215,183,185,188,191,195,196,198,200,200,202,203,205,205,208,208,212,210,215,208,153,146,127,166,226,215,216,216,215,184,187,190,192,195,198,200,201,203,204,208,209,209,209,212,214,212,217,234,180,114,101,171,227,215,218,218,216,185,187,191,194,197,199,202,202,204,207,206,208,210,210,212,214,214,214,238,193,133,84,188,226,216,219,218,218,186,188,192,194,196,200,202,203,205,206,207,211,210,214,216,215,218,214,239,211,155,97,209,223,219,219,218,218,186,190,193,195,197,199,202,204,207,207,208,210,214,192,197,224,216,215,243,213,161,130,226,221,223,220,221,219,187,193,194,196,198,201,204,205,207,209,209,208,216,196,144,184,226,224,244,205,159,142,228,222,222,221,222,221,187,191,195,197,199,201,203,206,206,206,205,209,226,204,176,151,187,218,241,206,155,136,226,223,223,222,222,222,189,193,196,196,199,203,205,203,213,218,180,155,209,227,223,217,163,125,194,201,163,138,225,224,225,224,223,222,190,193,194,198,203,204,206,205,230,232,176,140,197,206,237,230,199,127,126,174,154,134,224,224,224,224,224,223,188,194,196,200,202,205,205,214,218,196,212,172,179,150,178,248,224,163,106,138,137,127,223,226,225,225,223,223,192,195,197,200,202,204,205,218,231,170,166,155,112,96,103,251,241,191,116,111,118,117,222,227,227,226,225,225,192,195,198,201,203,206,205,226,212,161,141,157,120,119,116,231,255,210,139,105,116,110,217,230,225,226,226,226,192,195,199,202,204,207,204,230,223,198,178,166,140,163,147,208,255,211,161,108,114,110,207,232,225,228,227,227,194,196,201,202,204,206,208,240,211,179,172,161,154,183,186,232,241,214,175,116,104,107,210,232,227,228,228,228,193,196,200,203,205,206,218,236,190,169,163,161,175,179,248,255,213,199,174,114,97,98,212,234,229,228,228,229,193,196,199,203,209,205,226,240,197,179,164,167,175,217,255,251,215,187,163,114,93,100,218,232,231,229,228,228,194,196,200,204,209,205,234,244,204,187,163,170,185,255,252,240,210,179,155,111,92,115,234,228,230,229,228,228,194,197,202,204,209,203,241,241,209,199,172,173,214,255,246,235,200,164,148,109,87,153,241,227,229,230,229,229,194,198,203,207,209,202,250,240,215,207,191,175,231,255,235,232,203,153,137,106,93,206,234,228,231,230,228,229,195,199,204,207,212,205,254,248,220,220,207,183,230,252,227,221,201,153,128,95,125,238,228,230,230,230,229,229,195,200,205,207,209,204,246,255,226,226,212,197,211,245,221,220,190,150,120,89,181,240,228,230,229,229,230,230,194,200,205,207,211,205,233,255,231,218,206,208,205,232,214,225,197,142,117,93,210,237,230,231,231,230,230,230,196,201,204,206,211,209,225,255,227,215,199,204,210,219,207,227,200,142,112,104,226,233,232,233,233,232,231,231,197,201,203,206,211,208,228,250,224,215,199,199,208,217,203,225,187,142,108,141,242,230,232,233,233,232,231,231,195,199,203,206,212,208,232,252,236,217,205,208,214,215,197,219,169,132,103,192,240,231,233,233,232,232,231,231
15,23,53,63,76,85,93,101,111,120,125,129,134,137,140,143,145,148,150,152,154,156,158,159,160,162,164,165,167,26,55,64,77,86,94,102,111,121,125,130,135,138,141,144,146,149,151,153,155,157,159,159,161,163,165,167,168,29,57,67,79,87,95,102,113,123,126,131,135,139,141,145,148,150,152,154,156,158,159,161,163,164,167,168,169,34,59,68,81,89,95,103,114,123,126,130,135,139,142,146,149,150,151,154,157,158,160,163,164,165,167,168,169,40,61,69,80,90,113,112,113,121,127,132,136,138,143,146,149,151,152,155,157,159,162,163,165,167,167,168,170,44,62,72,81,97,146,126,110,105,116,129,137,140,144,147,150,151,153,156,157,159,162,163,165,167,168,169,171,50,62,73,83,95,129,130,119,109,101,107,123,137,144,147,150,152,155,157,158,160,164,165,167,167,167,169,171,53,62,73,84,92,103,115,115,112,107,110,110,112,122,141,150,152,155,157,159,160,163,165,167,167,168,170,172,55,63,74,83,92,100,107,114,106,109,115,119,115,108,105,127,146,155,158,159,160,163,166,168,168,169,172,174,58,65,76,84,93,101,108,119,119,119,119,118,117,113,105,105,110,132,153,159,161,164,166,167,169,170,173,174,60,67,78,86,93,101,108,119,125,128,130,120,109,110,115,115,108,103,112,136,156,164,166,167,168,171,173,175,60,68,78,87,94,102,111,121,125,130,135,133,123,115,105,102,104,102,103,110,114,137,162,168,170,172,173,175,61,68,79,88,95,102,113,122,125,132,142,117,104,116,113,91,85,96,112,118,118,104,123,164,170,173,174,175,61,69,80,89,95,102,112,122,125,138,141,117,95,94,111,110,105,112,116,124,128,111,92,130,173,174,175,176,63,70,81,89,96,103,114,123,125,133,125,112,109,114,120,105,108,113,107,119,127,117,107,97,156,174,175,176,64,71,81,90,97,103,113,122,126,131,134,116,123,140,131,108,89,86,78,109,128,119,123,100,114,172,175,175,64,73,82,89,96,103,113,122,126,130,152,127,116,135,129,114,106,97,84,94,103,111,118,106,86,148,176,176,65,73,82,89,97,103,113,123,125,139,147,112,86,89,111,123,125,120,108,97,93,92,98,101,89,106,173,177,65,74,82,89,97,104,115,123,125,146,127,90,74,44,51,90,127,136,130,121,113,92,80,89,89,80,149,179,66,75,83,90,97,105,116,121,130,150,108,73,68,50,38,35,75,132,142,137,126,100,80,84,86,76,108,176,66,75,84,91,99,106,117,120,137,136,87,76,97,85,67,44,29,97,143,140,128,107,94,88,86,81,81,149,67,75,83,90,99,107,117,127,137,105,75,115,126,106,99,81,41,64,141,140,131,121,112,100,91,85,78,101,68,77,84,92,100,107,118,128,110,85,97,143,138,114,110,104,85,73,133,144,140,133,125,112,98,89,84,79,70,78,85,92,98,107,118,122,112,112,130,137,133,121,105,103,99,96,120,141,144,139,130,118,107,96,90,85,70,78,84,92,99,108,118,122,127,133,137,140,134,118,97,92,89,106,114,126,138,136,129,120,110,101,95,90,70,77,84,92,98,109,118,122,127,133,136,140,145,145,137,126,113,113,120,107,121,127,125,120,113,104,95,92,70,77,83,90,97,108,118,122,126,133,136,140,145,148,152,152,151,152,141,124,118,127,124,119,116,109,98,94,70,77,82,88,96,107,116,120,125,132,136,140,145,148,151,153,157,165,165,154,142,140,126,115,113,114,108,101
14,171,173,174,175,177,176,177,177,178,177,176,176,175,173,172,172,171,170,169,168,166,164,162,161,160,159,158,157,173,174,175,176,178,178,179,179,179,178,178,178,177,176,175,173,172,171,171,170,168,165,164,163,162,160,158,157,175,176,177,178,179,180,180,180,180,181,181,179,177,168,170,176,175,173,173,172,169,167,165,164,164,162,160,159,177,178,179,179,180,181,182,182,182,181,171,157,149,125,114,133,152,172,174,174,172,170,168,166,165,164,162,160,177,179,180,182,183,182,183,184,183,169,144,121,98,76,67,84,98,125,148,165,174,172,170,168,166,166,163,162,179,180,181,183,184,184,185,184,178,156,116,80,65,63,61,71,87,99,105,114,172,173,171,170,168,167,165,163,180,181,183,185,186,186,183,175,159,127,76,49,50,53,51,54,61,78,76,83,164,175,173,172,170,168,166,164,181,182,184,186,187,188,180,161,136,90,59,48,44,48,49,51,50,61,66,68,109,169,174,173,171,169,167,165,181,182,185,187,188,188,177,156,112,62,57,52,51,50,49,51,55,58,70,74,77,162,177,174,172,170,168,166,182,185,186,188,189,189,182,160,116,60,53,49,53,54,56,121,128,132,94,67,69,137,177,175,173,172,171,168,184,186,187,189,189,190,182,160,118,62,50,46,52,54,97,184,188,188,167,111,82,88,125,159,174,172,172,170,184,187,188,190,190,190,183,161,113,65,60,53,47,78,168,189,188,188,186,170,111,97,94,129,176,173,172,171,186,187,188,190,192,191,185,166,123,82,66,58,56,142,193,191,190,189,186,142,108,103,89,139,178,175,173,172,187,188,189,190,192,190,184,171,134,93,69,57,62,167,194,192,191,191,168,112,104,96,88,165,179,175,174,173,188,189,191,193,193,187,183,174,138,101,73,55,73,183,195,192,192,185,126,95,97,84,111,179,179,178,175,174,189,190,192,194,194,186,182,171,140,105,72,56,64,144,181,193,193,153,104,88,87,70,141,183,180,178,176,175,188,191,193,194,194,186,183,172,140,105,75,61,60,72,95,140,153,106,100,93,74,102,176,183,181,180,177,176,189,191,193,194,194,185,186,175,138,108,80,62,63,70,76,83,86,85,93,83,95,171,185,183,181,180,178,176,191,193,194,195,193,183,189,173,136,106,83,61,62,70,78,83,81,79,87,85,161,188,185,184,181,179,178,176,191,193,194,196,192,182,188,169,132,107,87,62,62,71,78,84,86,77,71,135,190,188,186,184,182,180,178,177,191,194,195,197,191,183,184,163,131,112,88,63,63,75,82,85,82,70,96,181,191,189,187,185,183,181,180,178,192,194,195,198,189,184,177,155,129,110,87,63,64,78,85,85,75,75,169,192,191,189,188,186,185,182,181,180,192,193,195,198,188,180,169,149,123,105,86,63,64,79,82,77,63,117,194,193,192,189,188,186,186,183,181,179,192,194,196,197,187,177,166,147,120,101,83,63,65,76,76,66,76,176,195,193,192,190,188,187,186,184,182,179,193,195,196,196,188,172,160,141,116,94,78,63,64,69,67,63,148,197,195,193,193,191,189,187,186,184,182,180,193,195,196,196,187,169,159,138,113,90,73,60,60,57,65,139,197,197,196,195,193,191,189,188,187,185,183,181,192,195,196,194,186,167,155,137,112,87,67,54,57,88,156,197,199,198,197,195,193,191,190,188,187,185,184,182,191,194,193,193,178,159,151,136,111,81,61,50,106,186,200,197,196,196,195,194,192,190,189,187,186,184,182,181
12,200,200,203,205,206,209,210,209,209,208,208,207,207,207,206,204,205,205,203,202,203,201,201,200,198,196,196,195,201,202,203,206,208,210,211,210,211,212,210,211,209,209,210,211,210,205,206,205,201,202,202,200,199,198,199,198,203,203,204,208,211,210,211,211,212,213,212,214,211,210,196,177,198,209,197,200,215,206,202,200,201,201,201,201,204,204,206,209,211,212,213,212,213,213,213,214,210,207,168,117,84,186,160,112,122,201,210,204,199,202,202,202,204,206,210,211,211,212,213,214,215,216,211,212,216,180,140,103,82,164,132,104,26,129,196,197,212,202,203,202,206,209,210,211,214,213,214,216,213,214,202,153,189,182,162,71,129,189,140,98,81,154,130,80,145,214,201,201,208,210,209,212,216,216,215,215,216,223,206,136,167,227,165,65,178,207,143,104,122,137,111,66,35,150,215,202,209,210,210,214,215,217,217,214,227,240,210,150,145,212,129,60,210,206,121,108,180,155,112,74,43,64,213,203,210,212,212,214,216,219,219,214,235,222,200,146,82,90,93,34,117,142,56,127,224,156,134,67,24,54,207,206,212,213,214,215,218,220,217,224,248,217,170,122,86,12,0,66,126,151,118,177,223,149,93,34,21,62,211,204,212,214,215,216,219,218,222,240,217,204,143,104,78,3,87,204,211,196,179,198,144,87,60,58,31,64,219,207,213,214,217,219,220,216,239,242,199,157,142,163,71,119,225,213,197,186,162,176,177,107,108,102,49,104,223,206,214,216,219,219,220,220,254,236,205,175,141,171,157,238,225,202,191,197,171,171,170,122,84,87,38,169,220,207,215,218,219,220,221,227,255,242,221,216,177,179,211,219,225,198,202,189,158,173,148,99,64,50,39,206,213,209,216,219,221,222,221,229,253,248,230,214,200,186,201,204,210,198,197,177,168,164,124,76,56,25,73,227,209,211,217,220,222,224,223,230,252,249,231,206,185,184,189,199,206,196,191,172,164,133,91,57,49,12,118,232,209,213,217,218,221,222,222,228,249,245,214,185,179,190,190,205,212,195,180,163,135,95,64,46,41,5,159,231,214,213,216,220,223,223,224,228,231,222,206,203,201,194,193,218,203,181,155,143,113,75,57,46,17,45,216,219,216,213,218,222,222,225,226,233,244,245,238,228,211,187,189,216,187,156,130,120,87,66,56,18,27,185,225,216,217,217,220,221,223,226,225,243,253,246,235,218,202,186,183,204,172,134,114,93,73,55,17,52,187,227,216,218,217,218,220,223,224,224,228,251,250,244,230,204,191,187,189,184,153,123,97,78,44,32,121,215,230,220,220,220,221,219,218,222,224,221,232,254,244,233,220,202,183,184,188,171,141,106,72,37,45,180,235,222,221,222,221,221,220,218,227,221,222,217,242,241,228,214,212,199,173,179,174,145,122,97,49,30,185,233,220,223,220,220,220,219,217,215,169,219,230,222,240,218,210,201,198,184,183,178,163,129,99,77,33,141,231,220,224,223,221,220,220,219,218,217,56,60,139,247,223,198,187,182,182,193,182,165,153,115,87,50,54,213,227,226,224,223,222,220,220,219,219,218,67,46,39,175,210,186,173,182,195,199,167,147,139,101,75,25,113,237,227,227,226,223,222,222,221,220,220,219,55,59,60,37,62,80,76,87,110,132,128,128,118,86,56,22,180,236,226,228,227,225,223,222,221,220,221,218,54,50,58,41,0,0,9,4,1,4,13,35,59,60,21,64,217,228,227,227,227,226,224,221,220,220,219,219
19,166,166,167,168,170,171,172,172,172,173,173,172,172,171,171,171,170,169,167,166,166,166,165,165,163,163,163,162,166,168,169,170,171,172,173,173,173,173,174,173,173,173,172,172,171,171,170,169,168,167,166,166,165,165,165,164,167,169,170,171,172,174,174,174,175,175,175,174,174,174,173,173,172,171,171,171,170,169,168,168,167,166,165,165,168,169,171,173,173,174,176,176,177,177,177,176,175,175,174,174,174,172,172,172,171,171,171,169,167,167,166,165,169,170,171,173,174,176,177,178,179,179,178,179,178,177,176,176,175,174,173,173,173,172,171,170,168,167,167,166,170,172,172,174,176,178,178,180,179,179,179,179,180,179,178,177,176,175,174,174,173,172,171,170,169,169,168,168,171,172,173,176,177,179,180,181,181,181,181,180,179,179,178,179,178,177,176,175,175,174,172,172,171,170,169,169,172,174,176,178,179,180,181,182,181,181,181,181,180,179,173,166,172,177,176,177,177,175,173,173,170,165,169,169,173,175,177,179,181,181,182,183,182,182,181,181,181,182,167,140,146,176,170,169,172,171,167,168,161,125,162,171,175,176,178,180,181,182,183,183,183,178,175,178,179,183,176,169,175,180,171,170,179,173,164,150,125,116,165,172,176,177,179,180,181,183,183,185,184,166,159,164,169,172,164,155,147,150,143,152,165,150,130,123,134,160,174,174,176,178,180,180,182,183,183,183,168,161,168,169,163,162,155,144,118,106,107,118,145,148,157,167,174,176,174,175,178,179,181,182,184,180,190,200,186,184,183,177,168,154,124,103,102,87,90,149,179,180,180,178,178,176,175,175,180,180,182,183,186,181,208,217,197,180,170,164,158,143,113,87,95,87,95,167,182,182,180,179,178,178,178,177,178,180,182,184,186,181,207,209,182,153,130,119,120,129,115,93,95,89,101,173,182,183,181,181,179,179,179,178,179,181,184,185,186,180,194,199,169,126,107,80,84,137,121,98,98,91,112,179,184,183,183,182,182,180,180,179,180,181,184,185,187,178,188,197,167,126,91,69,110,133,115,99,97,92,126,185,186,185,185,184,183,181,180,179,181,182,184,186,188,177,185,200,172,139,109,82,85,85,82,86,88,96,111,182,187,186,185,184,183,182,181,179,182,184,186,187,189,177,183,201,177,146,117,100,78,59,54,63,78,88,95,171,188,187,186,185,184,183,181,180,182,185,187,188,190,176,177,198,174,147,121,107,100,82,73,78,88,94,96,162,189,188,187,185,184,184,183,182,183,185,187,188,190,179,173,195,173,145,122,109,106,93,84,88,95,99,101,165,190,188,187,186,185,185,185,184,183,185,187,190,191,181,172,193,171,142,122,109,106,95,87,91,97,101,109,175,190,189,188,187,186,186,186,185,184,186,188,190,192,185,176,188,166,139,120,108,105,100,93,96,102,105,126,187,191,190,189,188,187,187,186,185,186,187,188,190,192,186,184,191,166,138,121,110,105,104,102,104,109,109,155,192,191,191,190,189,188,188,186,186,187,188,189,192,193,183,187,194,171,144,126,112,105,109,109,110,113,134,184,193,193,192,191,190,189,188,187,187,185,187,188,191,194,180,187,190,171,153,130,112,106,111,111,114,148,183,193,194,192,191,191,189,189,189,188,186,185,187,187,188,189,181,191,184,163,147,129,112,109,109,106,134,185,194,193,192,191,190,190,189,189,188,187,186,184,187,188,189,188,189,197,187,167,146,132,115,107,105,103,146,189,194,193,192,191,190,190,189,189,187,186,186
1,167,167,168,167,169,169,170,169,170,169,169,169,168,168,167,164,165,166,163,160,159,158,157,156,154,153,150,148,172,172,171,172,172,173,173,173,174,174,172,173,172,171,170,172,168,154,165,165,164,163,162,158,157,156,153,151,177,176,176,176,177,177,177,178,178,177,176,177,176,175,171,164,181,111,142,182,166,166,165,163,162,158,156,156,181,180,180,180,180,181,181,181,181,181,181,181,179,179,185,119,159,119,100,152,172,170,167,165,164,162,160,159,185,183,183,183,184,186,185,185,185,185,185,185,183,184,188,103,153,113,52,83,149,178,170,169,167,166,164,161,187,187,187,187,187,187,188,189,188,187,189,189,189,192,174,92,165,91,81,111,115,186,171,172,172,169,166,164,189,191,191,191,190,190,192,192,190,189,191,185,154,192,160,97,182,93,106,124,98,189,174,175,174,172,170,166,195,194,194,195,196,195,196,195,195,194,193,187,107,168,159,116,176,80,119,133,100,190,179,179,177,174,173,170,197,197,196,198,199,196,197,197,197,196,196,182,98,171,127,136,161,75,148,141,101,191,181,182,179,178,177,174,200,200,200,200,200,200,199,198,200,198,204,167,98,177,110,156,160,92,174,127,100,195,183,184,182,180,179,176,202,203,203,202,204,204,203,203,203,202,205,155,93,190,114,158,166,91,170,124,106,199,185,186,185,184,181,178,204,204,205,205,204,206,206,205,204,205,208,132,96,196,99,142,149,73,173,135,117,202,189,189,188,186,184,181,207,206,206,206,206,207,207,207,207,206,209,131,98,181,74,138,132,74,183,124,115,205,192,190,190,188,186,183,208,208,209,208,208,210,210,209,209,210,201,115,106,163,122,157,157,106,129,109,120,208,194,194,191,189,187,185,210,211,212,211,211,211,212,211,210,211,184,147,152,123,138,140,142,137,113,94,94,200,197,197,196,193,191,188,212,212,213,213,212,212,213,213,212,209,193,161,122,104,111,134,150,124,114,133,83,174,207,197,198,194,191,190,213,214,214,214,214,213,214,214,213,213,189,133,96,104,111,150,156,129,172,171,96,139,215,197,198,196,193,191,214,214,215,215,215,214,216,217,214,207,186,129,91,116,123,159,169,183,141,172,138,111,212,201,201,198,197,194,215,216,217,217,217,217,218,219,215,200,193,145,87,103,142,167,177,193,158,152,137,81,198,205,202,200,198,196,218,218,218,219,219,219,219,220,214,195,199,159,105,92,142,171,180,178,159,138,93,61,201,207,204,202,200,197,219,220,220,220,220,220,220,222,217,189,196,163,119,91,133,190,196,191,152,120,69,98,220,205,206,204,201,199,220,220,221,221,221,221,221,223,219,186,180,162,128,104,146,204,193,179,137,103,52,168,220,205,206,204,203,200,219,220,221,221,221,222,221,223,223,194,181,163,138,117,160,198,183,158,120,77,75,217,210,209,206,206,205,201,217,219,220,219,220,221,221,221,225,203,177,173,154,122,160,186,170,135,100,47,136,226,209,209,207,206,205,202,218,219,220,221,220,221,222,221,224,211,178,177,157,129,147,159,136,106,61,57,208,213,210,208,206,204,202,199,220,219,221,221,221,222,222,221,225,210,184,178,155,133,136,140,108,73,38,170,222,211,212,209,206,205,202,200,219,220,221,222,221,221,222,222,225,196,190,178,169,150,126,119,83,39,158,230,212,214,212,211,208,208,211,199,219,220,220,222,221,221,223,225,217,181,197,183,179,147,121,93,46,87,229,215,217,214,212,211,210,192,158,99
18,71,74,77,80,85,92,96,102,109,116,123,127,132,135,137,139,142,146,147,150,153,156,158,160,162,163,163,166,70,74,78,82,88,93,96,102,110,117,124,129,134,135,137,140,144,147,148,152,154,155,158,159,162,163,165,167,71,74,79,82,87,93,97,103,111,118,124,130,135,136,138,140,145,148,149,153,156,158,159,161,162,164,167,168,73,76,80,83,87,94,97,104,113,119,125,131,136,138,139,141,144,148,152,155,157,160,163,163,162,164,168,169,73,75,79,84,89,95,98,105,113,122,128,132,136,138,142,141,152,149,136,151,161,156,154,167,168,166,168,170,73,75,79,83,91,95,99,105,113,122,130,130,138,145,133,145,188,138,107,98,164,168,126,115,168,170,170,171,74,76,80,82,89,95,100,109,116,124,129,126,192,155,105,152,177,142,136,140,189,166,124,86,101,172,170,171,74,77,80,83,91,97,100,109,112,127,122,163,216,155,116,169,172,147,158,166,165,137,129,120,71,136,181,172,75,78,80,83,91,98,103,104,131,179,124,132,199,155,146,141,152,140,146,149,129,120,139,130,100,96,183,174,76,79,81,86,92,97,104,97,196,198,148,106,161,180,148,113,114,132,110,117,92,139,146,136,126,81,139,189,77,79,82,85,93,98,96,118,218,195,172,140,117,190,151,116,95,164,109,67,84,171,151,153,143,109,82,164,76,79,82,85,92,100,89,149,184,186,190,162,96,141,164,121,77,149,145,92,45,136,156,169,156,122,91,90,77,80,82,88,93,101,90,162,147,141,177,137,91,89,139,105,70,97,115,72,59,137,176,186,160,127,105,82,78,79,81,88,93,100,89,183,177,136,150,91,79,61,90,84,54,58,56,97,185,190,169,169,151,126,109,95,77,80,82,86,94,98,93,196,182,151,154,84,73,48,78,82,43,23,109,202,196,178,170,148,130,115,106,87,77,80,83,86,95,95,113,211,177,144,133,93,69,37,75,73,37,92,206,209,199,178,156,134,108,100,93,93,78,79,81,87,94,95,108,230,198,170,155,126,93,79,80,76,105,194,213,209,196,164,145,122,99,93,80,131,78,80,83,89,94,96,105,227,209,187,171,144,124,129,119,127,186,211,211,203,179,151,132,113,95,85,83,170,77,80,83,89,94,98,103,226,218,195,171,148,136,142,139,166,203,204,202,186,161,140,121,104,94,77,110,192,77,81,83,88,94,100,100,221,217,195,173,158,154,149,155,183,199,203,188,165,152,130,112,103,95,72,150,192,78,81,83,89,95,101,98,201,219,199,182,171,166,163,171,185,189,191,166,146,137,119,104,96,87,90,185,187,78,81,83,91,97,103,98,172,221,203,200,185,169,163,167,172,171,167,151,134,122,108,97,94,75,138,193,183,79,81,84,92,98,102,103,141,218,209,214,196,175,159,146,148,150,146,142,122,108,100,94,83,87,181,186,186,78,81,85,93,95,101,111,113,202,210,202,195,176,153,138,133,139,137,134,117,100,96,95,69,130,192,184,187,78,80,85,91,96,100,115,111,161,207,178,176,167,149,133,130,134,138,136,120,103,98,87,72,171,187,186,190,78,81,85,92,97,99,111,119,128,194,178,159,147,131,130,137,121,128,132,118,101,95,75,95,188,182,186,189,77,81,86,92,96,101,113,124,122,172,164,142,147,136,148,153,122,118,131,119,100,95,67,115,194,182,186,189,76,79,85,91,94,102,112,123,123,155,174,152,160,148,144,148,127,109,124,119,100,90,64,105,194,185,188,189
13,161,165,167,168,170,172,174,175,175,176,177,178,178,178,178,178,177,176,176,175,173,172,171,171,171,168,167,165,163,166,167,169,171,173,174,176,176,178,179,179,180,180,180,180,179,179,178,177,175,175,174,173,172,170,169,167,164,166,169,170,172,174,176,177,179,180,181,181,181,181,181,181,181,181,181,180,178,178,176,175,174,172,171,170,165,168,170,171,172,175,178,179,181,182,182,183,184,182,182,182,182,183,183,181,180,180,178,177,176,175,173,172,166,169,170,172,174,176,179,180,181,183,182,185,185,178,179,184,183,179,180,182,181,181,180,179,178,176,174,173,167,170,172,172,175,178,180,182,183,184,184,185,175,143,122,163,170,138,119,156,183,182,181,180,179,178,176,174,168,171,172,173,177,179,181,182,183,185,185,188,183,152,125,107,139,132,101,93,182,184,184,182,181,179,177,175,169,171,173,174,178,180,182,184,185,187,188,190,197,163,135,92,114,134,108,72,166,186,186,184,183,181,179,177,170,173,174,175,178,181,184,185,186,188,189,190,195,166,130,90,92,126,104,66,154,186,186,185,185,183,181,180,170,173,175,177,179,182,184,187,188,188,189,191,185,164,128,94,75,105,90,63,151,187,186,185,184,183,181,180,171,175,176,178,180,183,185,188,188,182,159,167,163,163,130,101,75,107,94,64,164,189,188,187,185,184,182,181,171,174,176,179,181,185,187,189,189,167,123,104,108,147,163,125,87,110,105,69,161,190,189,187,187,185,183,182,172,175,177,180,182,185,188,189,193,160,125,109,90,128,173,135,88,96,101,66,107,190,190,188,188,187,185,184,172,176,178,180,183,185,186,172,142,151,139,125,95,67,130,106,78,86,85,75,77,161,192,189,188,187,186,184,172,176,179,181,183,183,190,158,116,108,149,133,109,61,43,47,62,89,92,95,91,103,191,191,189,188,187,186,173,177,179,181,183,194,191,145,119,103,131,135,114,85,37,54,74,83,117,116,104,77,169,192,190,188,188,186,174,177,181,182,186,196,162,149,133,119,100,133,119,96,52,59,112,125,130,119,103,75,151,192,191,189,188,187,174,178,181,183,186,199,161,138,131,115,98,108,108,81,58,64,136,153,149,113,94,73,164,193,191,189,187,187,174,178,181,184,187,192,158,122,110,102,84,59,85,73,68,84,151,155,146,117,87,74,183,195,193,190,189,188,175,179,182,183,187,189,178,152,115,85,62,48,77,91,87,128,169,152,138,111,78,92,194,195,195,192,190,188,176,180,182,183,185,188,184,164,136,113,97,97,95,107,120,172,170,144,124,104,72,123,197,197,195,193,191,189,177,181,182,184,187,186,181,170,149,131,110,112,122,159,172,175,159,136,115,96,66,154,197,197,196,193,191,189,178,181,182,185,187,188,177,161,146,127,111,115,121,171,172,163,145,126,107,85,66,180,198,197,195,194,192,189,177,182,183,185,188,189,172,153,146,129,116,118,118,161,168,157,136,114,95,77,81,196,198,197,195,194,192,191,178,182,183,186,188,191,182,158,146,133,125,121,120,154,161,151,128,102,85,62,126,199,199,197,196,194,192,191,178,181,181,184,187,191,192,165,148,140,127,115,113,137,149,138,113,87,71,67,183,199,199,197,196,193,192,192,177,181,182,184,187,190,194,186,157,141,124,114,109,123,136,126,102,81,62,118,199,200,199,197,195,193,193,193,175,179,181,183,187,189,192,192,173,145,125,112,111,116,128,122,100,81,61,165,199,199,197,195,194,193,192,191
4,90,103,116,123,129,133,137,140,142,145,148,151,153,155,158,159,162,162,164,166,166,167,167,167,167,168,168,169,91,106,118,125,130,134,138,141,144,147,150,151,154,157,158,161,159,161,165,167,168,169,169,169,170,170,170,170,93,108,119,125,131,136,140,143,145,147,150,154,149,152,164,167,142,131,158,157,153,167,170,171,172,172,172,171,95,110,120,127,133,136,141,145,146,146,157,178,156,138,161,177,135,95,124,141,104,122,170,173,173,173,174,174,97,112,122,128,133,137,142,146,154,159,142,157,175,136,125,163,122,84,89,122,99,82,158,176,174,175,176,176,98,114,123,130,134,138,143,147,176,173,148,126,134,121,99,134,110,77,89,123,97,71,153,177,176,176,177,177,100,115,124,130,135,139,142,158,186,181,159,132,92,90,90,146,120,74,123,127,85,72,165,177,176,178,179,178,102,116,125,131,136,140,143,172,163,156,152,113,79,72,84,148,126,113,146,112,66,87,176,179,178,180,181,180,105,117,126,132,137,141,145,181,149,141,140,89,67,76,67,108,134,160,147,125,89,107,182,180,180,181,181,181,108,119,126,133,138,142,152,187,158,150,130,90,57,100,117,133,147,148,133,136,118,112,174,182,181,182,182,182,110,120,125,133,140,142,162,182,146,128,117,89,49,120,141,134,131,116,131,151,136,115,129,179,182,185,185,184,112,120,127,135,139,141,173,174,138,112,96,67,45,66,100,103,98,80,129,159,155,136,105,142,185,185,187,187,112,122,128,135,141,146,192,178,145,122,101,78,58,54,63,72,95,128,138,156,161,144,114,98,167,187,187,187,115,122,128,136,141,152,202,176,150,132,102,81,69,81,109,136,165,177,166,157,145,136,121,94,136,189,188,188,117,123,129,137,141,162,208,182,163,135,102,93,84,117,159,179,188,183,164,148,127,114,112,93,142,190,189,189,118,123,129,137,139,172,209,185,160,127,107,103,100,152,180,190,192,186,160,136,113,97,94,104,174,189,190,190,118,123,130,138,140,177,207,181,152,127,120,111,125,170,181,188,189,174,148,125,105,89,87,148,190,190,191,190,119,123,130,138,140,178,204,177,155,143,136,126,148,173,180,183,177,157,135,114,97,83,114,185,191,192,193,193,120,124,131,138,142,176,199,181,171,160,146,141,163,172,177,171,158,143,121,105,90,90,167,193,192,193,194,195,120,125,132,139,142,166,198,188,179,162,144,139,158,165,164,153,139,127,109,95,85,136,192,193,192,194,195,195,121,126,133,140,143,158,194,183,173,159,138,126,141,150,150,140,125,113,99,86,108,182,193,193,193,194,195,195,121,127,134,141,146,154,191,174,161,149,131,125,134,144,142,128,111,102,89,90,163,193,193,194,195,196,196,196,121,127,135,141,146,152,184,164,150,140,128,132,130,137,138,121,105,93,80,140,191,193,194,195,196,196,197,197,122,127,135,141,146,162,183,164,153,146,146,146,129,123,126,111,96,83,108,183,193,194,196,196,197,197,197,197,122,128,136,141,154,190,173,157,157,152,148,139,122,113,115,103,90,80,155,192,193,195,196,196,197,197,197,198,123,129,136,143,183,194,186,131,133,152,142,128,117,104,103,96,86,79,172,192,194,195,196,196,197,198,198,199,123,130,136,159,198,191,191,171,99,120,127,118,109,93,95,90,80,80,177,192,194,195,197,197,197,199,199,200,123,130,138,188,191,190,190,192,147,79,100,111,100,82,88,85,77,78,176,194,195,195,197,199,199,200,200,201
7,117,140,154,161,167,172,176,176,178,181,184,186,186,187,187,188,189,189,189,188,186,186,184,183,182,180,179,177,120,142,155,162,168,173,176,178,179,182,186,186,188,188,188,189,191,190,190,189,188,187,186,184,184,181,180,179,121,145,156,164,169,174,177,179,181,184,186,187,189,190,191,192,192,192,192,191,190,188,188,187,185,184,182,181,122,145,157,165,171,175,179,181,183,186,186,187,190,192,193,193,193,193,192,192,192,190,189,189,188,186,185,183,123,146,157,165,172,176,179,181,184,187,187,189,191,193,193,193,193,193,194,193,193,193,193,192,189,187,186,184,124,147,157,167,172,177,180,181,184,186,188,190,193,195,197,198,199,200,198,197,194,190,186,185,190,190,188,185,124,147,158,166,172,178,181,184,188,191,193,192,191,187,181,173,160,157,154,158,143,133,161,164,157,191,187,187,125,148,158,167,173,177,180,172,164,157,157,155,148,135,130,134,108,118,122,116,117,118,159,155,132,195,192,188,128,150,159,168,173,181,165,134,126,133,135,140,138,128,119,111,107,108,111,106,111,106,107,101,128,170,184,192,129,150,157,167,179,175,155,120,111,118,116,117,119,121,122,126,126,109,115,125,118,113,108,101,107,131,131,183,130,150,162,172,172,160,147,125,109,106,117,128,136,139,138,133,123,98,104,124,110,99,98,90,98,121,105,172,128,162,171,167,159,155,152,141,136,138,143,148,137,134,130,124,103,90,90,92,86,83,84,85,90,103,139,193,163,174,166,164,164,161,144,119,109,115,125,124,117,113,100,89,84,102,120,139,155,168,177,182,189,192,197,195,181,172,170,169,163,144,133,95,87,103,100,87,78,97,148,169,185,196,207,211,209,208,206,204,202,198,195,194,176,173,172,160,140,135,120,88,84,78,65,54,60,72,99,114,198,208,202,202,201,201,201,200,199,197,196,195,175,175,163,146,135,128,122,113,94,72,70,74,73,67,59,38,132,216,201,205,204,203,202,201,202,199,197,196,176,166,144,134,129,126,138,142,111,76,75,78,77,74,75,57,137,218,204,205,204,204,204,203,202,199,198,195,161,143,126,125,124,122,126,122,89,69,67,63,67,68,70,49,99,214,205,206,206,205,203,203,201,201,200,196,137,128,124,123,117,107,109,96,74,61,50,57,72,74,71,56,128,210,205,207,206,206,203,202,201,201,199,196,131,128,125,119,109,93,86,88,85,69,68,82,84,76,57,142,217,206,206,206,206,205,203,202,202,201,199,196,124,114,105,99,92,89,95,107,100,80,72,66,67,71,129,206,204,205,205,204,204,204,202,202,200,199,197,195,115,106,104,101,98,99,102,106,89,64,82,124,156,188,208,202,202,204,203,202,202,202,202,201,200,198,195,195,112,108,108,103,95,91,86,77,72,120,185,206,207,203,201,203,204,203,203,202,203,202,201,201,200,200,196,195,89,93,89,85,81,78,90,127,167,200,199,196,198,200,201,202,203,203,203,202,203,202,201,200,199,198,196,194,57,27,86,132,134,153,176,190,190,189,193,196,199,200,201,201,201,201,202,202,203,201,202,201,198,197,195,193,47,0,120,186,181,188,187,186,190,194,197,200,201,202,204,204,204,203,203,203,200,199,200,198,195,194,194,193,22,7,129,158,146,147,146,146,145,145,144,140,140,141,141,140,137,134,134,132,129,126,125,121,119,115,93,84,0,23,98,104,103,106,104,104,107,106,104,104,104,106,106,103,102,102,100,101,101,100,98,96,95,65,26,23
11,104,110,115,118,123,126,129,132,134,137,140,140,142,145,147,149,149,151,153,154,154,156,156,157,156,155,156,155,105,111,118,121,125,127,130,132,135,138,140,143,145,147,149,150,151,152,154,156,157,158,157,158,157,157,158,158,106,112,119,123,126,129,131,134,137,140,141,145,148,149,151,150,156,157,156,158,158,159,159,159,158,158,159,158,107,113,119,123,128,130,132,135,138,140,143,146,148,150,151,152,136,152,158,159,159,159,159,160,160,160,160,160,108,113,119,123,128,131,133,136,140,143,145,148,150,151,151,161,108,110,166,158,160,160,162,162,162,161,161,160,108,113,119,125,128,131,134,137,141,145,148,149,150,152,151,170,111,96,167,159,162,162,162,162,162,161,161,162,109,114,120,126,130,132,135,137,141,145,148,150,152,153,153,173,90,109,169,160,162,163,164,164,163,163,162,162,110,116,121,126,131,132,135,139,141,145,148,150,152,151,162,172,83,126,169,162,165,165,165,165,164,164,164,163,110,117,123,127,131,134,136,140,142,144,148,150,151,152,174,145,78,143,167,163,165,165,166,165,164,165,164,164,111,117,124,128,131,134,137,140,142,145,149,150,150,151,173,101,80,161,165,163,165,165,165,165,165,165,165,165,111,117,122,128,133,135,138,141,146,146,144,158,170,109,104,83,100,171,161,164,165,165,166,166,165,166,165,164,112,117,123,127,131,134,142,141,130,165,142,109,141,107,71,69,136,169,163,166,166,166,166,166,166,166,166,166,111,118,125,126,139,173,173,150,79,126,140,74,108,103,62,65,160,165,164,167,167,167,167,167,167,166,166,166,112,118,123,132,168,141,157,152,78,114,119,73,135,96,47,86,173,163,165,166,167,167,168,169,169,168,167,165,113,119,120,146,143,114,133,146,76,113,98,81,133,79,39,109,174,163,166,166,166,168,168,169,168,169,168,165,113,120,124,164,132,92,106,131,66,100,79,91,112,65,38,122,172,163,165,166,169,170,171,168,167,169,168,166,115,115,141,171,134,98,106,89,62,94,59,98,98,53,31,127,176,165,167,165,160,155,158,172,173,169,169,168,116,114,166,164,130,103,90,76,79,86,39,123,77,35,44,94,162,159,154,149,141,133,114,116,159,173,168,169,114,120,181,155,128,109,86,66,103,70,22,83,68,75,102,100,128,149,155,148,133,111,102,92,84,165,171,169,113,123,174,155,137,119,94,82,94,100,114,122,136,138,126,133,146,135,115,104,100,119,141,131,110,162,172,169,113,121,166,158,144,127,101,101,129,154,145,142,139,135,118,112,109,87,111,145,165,175,176,174,174,171,171,170,113,122,179,161,144,127,103,109,143,149,132,140,133,121,88,75,95,144,175,174,171,169,170,170,171,172,171,171,111,131,187,146,132,112,102,111,133,133,132,129,112,76,65,121,167,173,168,169,170,170,172,172,172,172,172,172,106,146,164,121,118,109,110,114,114,120,121,97,62,78,146,171,165,166,168,169,169,170,171,171,171,172,172,171,104,153,158,124,118,127,117,117,102,102,89,57,104,161,164,160,163,165,165,165,166,168,169,169,170,167,168,170,108,165,165,125,117,145,122,109,89,79,59,117,164,158,158,160,162,164,164,165,166,166,167,169,169,184,188,191,115,173,167,119,119,147,119,97,77,51,98,161,152,157,158,159,162,162,164,165,166,166,169,167,191,201,200,187,114,174,167,114,121,143,116,97,64,51,141,151,152,156,156,158,161,162,163,165,166,167,168,167,159,130,172,186
21,160,166,170,170,172,176,179,182,183,186,187,188,189,190,192,192,191,195,193,192,192,190,190,189,188,188,187,187,161,166,170,172,174,177,180,182,185,187,187,188,191,192,193,194,195,173,188,194,192,192,192,191,191,189,188,188,162,167,171,172,175,178,181,183,186,189,189,190,192,194,193,198,208,135,156,200,191,193,193,192,190,189,190,190,162,168,171,172,175,179,182,184,186,189,190,191,193,195,194,202,206,137,156,203,195,194,194,192,192,192,191,191,163,169,172,172,177,180,183,186,186,188,190,192,194,195,193,205,200,142,158,203,195,196,196,184,156,185,194,191,165,169,172,174,178,182,184,188,188,189,192,193,194,195,195,209,200,143,159,205,197,198,194,172,128,176,198,192,165,170,173,175,178,182,185,188,190,192,193,195,196,198,196,210,200,148,160,205,198,197,192,166,133,191,196,195,164,170,174,175,178,182,185,188,191,193,194,196,197,200,197,209,198,150,155,206,197,197,189,157,144,201,195,195,165,171,175,175,179,183,187,189,192,194,195,196,198,200,197,211,199,153,147,207,199,196,187,147,165,203,196,197,166,171,174,176,181,184,188,191,193,195,196,198,199,200,197,218,206,150,151,208,197,191,180,136,184,201,198,197,166,173,176,177,182,185,187,190,193,195,196,198,198,201,200,220,197,145,160,209,192,191,162,138,200,199,198,198,167,174,177,178,182,186,188,191,193,195,196,199,201,193,201,214,179,135,159,209,194,193,142,160,208,199,200,199,167,174,178,178,182,187,189,191,194,196,197,206,189,160,167,185,151,124,160,205,199,181,132,187,206,200,200,200,168,175,178,179,182,186,189,193,196,197,198,205,187,155,144,128,126,130,168,194,192,157,139,205,204,202,202,201,168,175,178,179,184,187,190,194,196,197,202,203,197,190,174,144,114,136,161,173,171,134,162,212,203,204,204,203,168,175,178,180,185,188,191,194,198,197,209,220,208,225,198,162,121,121,136,146,149,126,188,211,204,205,205,203,170,177,179,180,185,189,192,195,196,201,203,195,206,213,187,145,126,119,125,134,134,134,205,208,205,205,205,204,171,176,178,180,185,188,193,196,196,208,195,167,202,173,179,157,135,126,118,125,122,147,212,207,206,206,205,205,170,176,178,181,185,189,193,197,197,208,213,185,161,126,171,177,147,129,124,121,118,149,214,208,208,206,206,205,170,177,179,181,186,190,193,197,197,211,202,163,146,133,150,188,160,139,128,125,116,142,215,209,209,208,206,206,171,177,178,181,186,190,193,198,197,217,200,176,180,156,177,210,168,159,138,127,121,146,214,210,209,209,207,208,172,177,178,181,186,190,194,198,199,222,204,194,174,167,228,216,173,165,143,130,123,150,216,211,210,210,210,208,172,176,179,182,187,191,195,199,200,220,219,198,167,199,232,200,168,158,147,135,126,155,216,211,212,211,211,209,172,176,179,182,186,190,194,198,199,221,224,187,176,204,224,194,174,152,147,139,126,169,218,210,211,211,210,209,171,175,178,180,184,190,194,196,196,217,206,182,187,197,223,194,185,161,137,137,125,177,217,210,211,210,209,209,171,175,177,180,185,190,194,196,197,211,194,198,193,189,223,193,175,162,139,136,129,184,217,211,211,210,209,209,171,176,176,180,186,191,195,197,200,205,199,219,192,194,214,184,163,149,139,135,131,193,217,211,211,210,211,210,170,176,177,180,185,190,194,197,200,201,205,210,184,180,201,176,152,140,136,131,131,201,215,211,212,211,210,210
4,179,181,181,182,184,185,187,188,187,188,187,187,187,189,188,188,188,188,188,188,188,188,189,188,188,186,186,186,181,182,183,185,187,187,188,188,188,189,188,189,189,189,188,189,189,189,189,187,189,191,190,190,189,188,188,188,183,185,186,188,189,189,189,189,189,190,191,191,191,192,188,172,162,178,177,161,162,185,192,192,193,191,190,189,186,187,188,189,190,191,191,191,191,192,191,183,178,181,196,191,164,139,140,160,143,127,173,195,194,194,192,192,188,189,189,191,192,193,194,193,194,194,195,192,173,142,144,191,182,134,88,110,138,98,120,197,195,194,194,194,190,191,192,193,193,194,194,193,191,181,190,196,185,140,100,130,179,134,86,63,115,99,100,195,196,196,196,195,192,193,193,194,195,195,195,195,189,146,123,148,186,149,93,66,162,148,102,55,104,119,101,192,199,198,197,197,193,195,196,196,196,195,197,194,189,143,89,77,167,170,106,53,140,183,132,67,99,142,112,192,200,199,198,199,194,196,197,197,198,197,197,174,162,150,112,57,143,185,114,83,144,182,140,82,78,130,125,198,201,200,200,200,195,196,197,199,200,199,199,174,125,151,143,75,103,165,114,77,106,140,131,79,66,90,87,180,203,201,201,202,195,197,199,199,200,201,202,183,149,144,138,88,76,99,94,85,85,100,104,76,85,106,92,130,202,204,204,203,197,198,201,201,201,201,205,197,173,143,111,83,78,89,87,95,99,94,90,85,134,147,133,110,174,207,204,203,199,200,202,202,202,203,207,196,167,141,114,95,96,101,105,119,122,127,136,134,149,168,154,115,119,202,206,205,200,201,202,204,204,204,207,192,156,129,112,100,110,120,139,152,163,180,193,189,169,159,135,99,80,171,209,206,200,201,203,205,205,205,207,198,165,137,118,109,123,130,164,189,181,194,196,191,176,153,122,87,73,140,212,207,201,203,205,207,207,206,208,209,180,149,123,114,124,137,182,194,188,194,194,186,170,149,119,87,73,156,211,208,202,204,206,207,208,207,206,210,192,162,134,116,125,144,187,195,196,201,198,185,170,149,115,84,89,193,210,209,203,205,206,207,208,208,207,210,203,175,145,122,139,147,181,198,207,210,206,192,170,137,107,80,129,212,212,211,204,206,206,207,208,209,208,209,209,187,154,134,151,156,176,201,212,215,216,200,163,126,99,81,173,214,212,212,205,206,208,209,210,211,208,206,208,199,161,142,155,164,181,203,215,220,219,192,150,121,89,100,204,214,214,212,207,207,209,209,211,212,211,201,200,201,171,149,155,163,185,206,212,220,204,169,137,114,81,140,217,215,215,214,208,208,209,210,212,212,213,198,195,201,184,160,154,161,182,203,204,201,179,151,126,102,83,184,217,215,215,214,208,209,210,210,210,211,214,204,191,200,192,174,161,164,178,194,195,178,158,134,107,86,128,214,217,215,215,214,208,208,209,209,210,212,213,212,191,188,188,180,170,166,166,171,174,157,135,109,85,96,195,218,217,217,217,216,206,207,207,208,209,211,212,214,196,184,186,178,170,164,154,153,159,144,117,91,71,149,217,217,216,217,217,216,206,207,207,209,210,211,212,214,199,188,181,170,163,158,145,141,145,130,96,80,80,191,218,217,216,216,216,215,208,209,209,211,211,212,213,214,202,188,173,152,154,153,145,142,135,117,89,75,103,210,218,218,218,216,216,216,208,209,211,212,212,212,213,215,205,189,179,161,169,166,156,146,132,114,94,72,125,216,218,219,218,217,216,216
12,124,126,127,130,132,132,136,139,139,140,140,140,142,141,141,142,141,141,142,142,141,140,140,140,139,138,138,137,126,129,130,132,133,134,137,140,142,142,141,142,143,143,143,143,144,142,144,145,144,142,142,141,141,140,139,139,126,129,132,133,135,136,139,139,141,144,144,143,144,145,144,145,145,146,145,146,146,146,145,144,143,142,141,141,127,129,132,134,135,137,140,141,142,143,144,146,147,146,146,148,148,146,145,147,147,148,147,145,145,144,143,142,128,131,134,135,138,139,141,143,144,146,147,148,148,146,151,150,148,148,150,149,146,147,146,146,146,145,146,144,129,132,134,137,140,141,144,145,146,147,147,146,148,147,135,145,154,140,118,140,151,147,146,148,148,148,148,146,131,133,135,138,140,142,145,148,148,147,149,145,168,167,115,110,176,135,76,82,160,150,155,148,148,149,149,148,133,135,138,139,141,142,145,147,149,148,148,147,195,177,126,101,171,131,75,40,119,107,115,155,149,150,150,150,135,137,140,141,144,144,145,147,147,150,158,117,128,165,119,91,164,124,68,48,136,96,36,121,157,150,152,153,134,137,139,142,144,146,148,150,144,178,169,131,69,118,114,80,159,124,58,87,148,107,45,69,164,152,152,152,135,137,139,142,145,147,150,148,161,195,183,141,84,68,134,79,175,161,86,113,153,118,48,60,163,154,153,152,136,140,141,143,146,148,150,146,180,166,177,144,87,55,149,83,148,149,63,122,188,133,42,63,164,154,155,154,137,140,143,145,146,150,152,150,190,159,163,144,87,38,78,66,36,97,79,120,141,76,18,71,166,154,155,155,139,142,144,146,148,152,148,177,190,141,150,139,89,43,21,23,19,126,165,149,120,95,28,80,167,154,157,155,140,143,145,148,149,151,151,192,173,123,128,134,90,52,38,42,127,154,143,133,111,100,51,101,170,157,158,155,141,143,147,149,151,151,161,191,163,137,106,125,129,52,29,149,178,150,133,119,87,72,50,105,169,157,160,158,142,144,147,150,153,150,176,191,167,149,112,91,103,53,104,191,176,146,128,110,78,66,40,116,171,159,161,159,144,146,147,151,155,149,183,190,167,143,133,98,95,118,176,189,174,139,121,98,70,60,35,132,169,161,161,160,144,147,149,152,156,151,184,190,169,151,140,114,117,126,181,188,166,132,111,89,65,59,27,121,172,159,162,161,146,147,150,153,156,152,181,194,174,159,149,127,106,138,185,181,155,130,102,78,60,52,27,142,170,160,162,162,146,149,152,153,156,154,176,194,175,160,149,132,112,160,177,162,143,123,96,70,58,29,91,173,162,162,163,163,147,150,153,154,157,156,170,191,168,155,138,123,133,166,152,147,130,109,85,65,35,77,171,166,164,164,165,163,148,151,153,154,157,156,175,188,162,153,134,133,152,163,140,139,119,95,78,47,72,167,168,167,167,166,166,165,150,152,155,157,160,154,184,187,170,163,147,147,162,160,137,128,109,91,63,53,156,171,167,168,166,166,166,167,150,153,156,158,162,154,199,195,182,164,154,159,161,146,133,105,92,75,43,116,174,169,170,168,168,168,167,167,150,154,156,157,159,159,203,193,191,170,163,161,148,136,115,87,82,45,90,172,172,172,170,169,169,169,168,167,151,154,157,160,156,164,192,179,184,163,160,148,142,119,99,84,64,54,154,175,172,173,172,170,169,169,169,168,152,155,158,161,154,169,188,162,159,148,147,150,134,105,101,80,46,97,173,173,173,174,173,171,170,170,170,169
24,145,151,159,170,177,183,188,191,196,199,202,204,206,207,207,207,206,205,204,203,202,199,198,198,196,194,191,189,147,152,162,174,182,187,191,195,200,204,206,209,211,212,212,212,211,210,209,209,208,206,204,203,201,198,195,195,150,155,165,176,184,190,194,199,203,207,210,214,215,215,216,216,216,215,214,214,213,211,209,208,207,205,201,199,152,157,167,179,186,193,197,201,206,210,214,217,218,217,219,219,219,219,219,217,216,214,214,212,211,209,206,203,154,158,169,181,190,196,201,204,208,213,217,220,222,222,223,222,222,221,222,221,221,220,218,217,216,214,211,209,156,161,179,187,192,198,203,207,211,215,219,223,223,223,224,225,225,225,224,223,223,223,222,221,221,219,216,213,154,177,186,153,199,200,205,209,214,218,222,224,226,226,227,228,227,227,227,227,226,226,226,225,224,223,220,218,155,187,175,115,197,203,206,211,216,220,224,225,225,228,229,230,235,230,228,230,228,227,228,229,226,224,223,221,156,194,174,109,192,206,209,214,219,221,224,228,234,233,233,209,182,228,232,228,230,232,230,226,232,228,225,222,158,198,163,104,191,209,210,213,217,227,226,227,193,211,255,209,139,153,237,233,226,207,192,151,168,235,227,231,160,193,158,103,191,209,219,203,163,199,242,234,157,128,192,218,172,120,211,224,210,179,135,107,198,247,226,197,161,192,172,105,183,210,236,232,196,173,227,236,176,137,127,219,189,137,160,188,220,151,116,197,214,160,97,72,163,194,187,115,165,215,228,255,246,205,162,237,201,171,130,201,191,132,113,208,192,113,106,118,78,58,66,61,168,186,206,166,171,206,227,224,255,229,165,178,228,179,124,149,170,109,142,226,147,97,67,59,74,78,73,69,170,175,218,198,191,210,228,185,207,233,170,118,220,201,135,90,105,113,195,198,118,73,64,62,58,76,72,64,172,175,206,218,213,233,235,212,185,204,165,102,191,216,143,78,85,170,203,164,96,52,58,72,54,63,74,71,173,180,197,243,222,206,212,197,168,181,172,125,137,173,113,104,138,174,171,131,73,66,45,63,66,55,65,75,172,182,192,241,224,188,201,186,148,154,176,151,122,120,168,195,184,182,143,104,41,69,59,46,61,57,59,68,173,184,193,231,233,171,160,172,155,157,176,187,164,183,250,234,203,192,128,86,28,51,73,53,49,59,57,59,138,145,141,184,237,187,145,160,197,167,213,244,223,246,255,227,201,182,117,85,39,35,66,70,54,56,50,56,127,129,122,147,242,218,168,144,185,183,224,243,250,255,248,216,192,167,107,74,55,26,53,71,64,60,51,48,132,133,133,136,227,231,190,157,157,189,212,249,255,252,232,205,182,159,101,53,66,25,40,65,64,65,56,44,133,134,137,129,207,239,210,176,157,183,199,247,255,242,220,195,172,157,105,40,69,37,27,56,66,62,59,53,131,133,137,127,183,242,222,189,172,181,188,235,249,229,211,191,164,149,103,40,64,51,21,42,65,59,57,56,131,133,135,130,154,233,225,202,182,187,180,221,240,219,208,190,150,136,95,42,59,62,28,28,59,61,53,54,131,131,133,134,132,208,225,212,191,194,178,198,228,214,211,183,137,127,77,27,55,65,42,22,46,63,48,50,130,131,131,133,128,159,227,220,202,195,182,176,207,206,198,170,129,120,66,20,39,66,54,29,29,58,51,42,129,130,131,131,134,128,196,224,206,194,179,162,174,190,175,152,127,107,52,20,25,62,59,41,24,43,58,39
20,154,155,156,157,157,157,158,157,158,158,158,157,157,157,156,154,155,153,151,150,149,147,145,144,143,141,139,138,157,157,158,160,160,160,160,160,161,161,161,160,160,158,156,157,157,155,155,153,151,150,147,145,144,142,141,140,162,162,164,163,163,164,164,163,164,164,164,164,162,170,164,115,161,163,156,156,155,153,151,150,148,145,144,143,165,166,168,167,167,167,169,168,168,168,168,168,165,173,176,100,121,148,163,158,157,156,155,153,152,149,147,146,169,170,171,171,172,171,172,171,171,172,172,172,171,175,176,97,79,101,151,166,161,159,157,157,154,152,150,148,173,173,174,175,175,176,176,175,175,175,176,176,173,182,173,79,112,121,119,175,164,163,162,161,158,157,154,152,176,176,177,179,179,179,179,179,179,179,180,180,176,187,173,81,135,141,97,176,169,167,165,164,161,159,158,156,180,181,181,182,182,183,183,183,183,183,184,184,178,197,178,90,138,153,94,172,173,171,169,168,165,162,161,158,184,184,185,185,186,186,186,185,186,187,187,186,181,205,162,82,148,172,98,165,179,174,173,172,170,165,164,163,187,186,187,187,188,189,188,188,188,190,190,188,188,215,147,87,168,170,94,161,184,177,175,174,173,170,167,165,190,190,190,192,192,192,192,192,191,192,192,175,160,190,158,100,176,170,88,156,188,178,178,177,175,173,171,170,193,194,194,194,194,194,195,195,195,194,195,204,188,157,138,99,148,176,105,153,190,181,181,180,178,175,174,171,195,196,196,196,198,198,198,197,197,197,196,181,200,178,151,123,130,172,110,146,194,183,183,182,181,177,176,174,197,198,199,199,200,199,200,200,200,199,203,169,128,164,185,123,82,123,98,137,198,185,186,184,183,180,178,176,200,201,201,200,201,200,201,202,202,201,205,189,72,131,184,133,80,73,73,126,201,186,188,186,185,182,179,177,201,202,202,201,202,202,202,203,202,202,206,182,90,105,170,163,112,98,64,108,203,190,190,188,187,185,181,179,203,203,203,203,203,203,204,204,204,201,196,175,138,96,88,148,143,123,72,85,203,192,192,190,188,186,184,181,204,204,205,205,205,206,206,207,205,201,195,183,165,126,80,111,140,125,81,70,196,196,194,193,189,188,186,183,206,207,207,207,207,207,207,208,201,192,147,141,174,150,103,90,123,157,117,64,175,205,195,194,193,191,187,185,207,208,208,208,208,208,210,209,198,194,162,89,109,155,89,70,97,159,149,78,112,211,196,196,194,192,190,188,209,209,210,210,210,211,211,211,200,187,155,111,68,115,88,66,119,179,173,108,68,194,203,198,195,194,193,189,211,211,211,212,212,212,212,213,200,190,182,137,79,103,109,89,180,197,165,104,72,196,203,199,197,195,193,191,212,213,214,214,214,214,214,216,199,193,195,137,102,108,158,182,208,174,149,74,94,210,200,201,199,195,192,191,214,214,215,216,216,215,214,218,201,190,189,153,115,105,192,218,194,153,132,63,131,216,199,201,200,197,194,193,215,215,215,216,216,216,215,220,204,178,174,155,118,104,183,195,173,137,111,63,168,213,201,201,201,199,195,193,213,214,215,215,215,216,216,219,209,176,173,155,128,112,176,191,161,124,88,68,199,207,203,202,200,198,199,204,215,215,216,216,216,217,217,217,218,185,169,158,142,113,166,184,145,106,59,116,218,203,203,201,201,204,191,141,216,216,217,217,216,217,219,219,221,195,176,160,139,109,136,153,113,79,51,181,214,205,204,202,193,149,91,44
15,183,175,157,164,133,127,172,74,75,109,107,110,112,116,118,128,141,151,159,162,166,172,176,179,183,185,187,190,189,176,159,168,128,141,171,65,83,110,108,110,114,117,120,132,143,154,162,164,168,175,178,182,185,188,190,193,194,174,162,172,121,154,166,58,90,111,109,110,114,117,121,134,145,156,163,166,170,176,181,185,187,190,193,195,197,176,167,174,117,169,155,55,98,111,110,111,114,117,123,136,148,158,164,168,173,179,184,187,190,193,195,197,198,176,172,173,117,182,142,55,104,111,110,113,117,117,124,138,150,161,167,169,175,181,186,189,192,195,198,200,197,175,176,168,119,190,128,55,108,109,109,111,113,115,126,140,152,163,168,171,176,183,188,193,196,198,201,203,198,175,179,161,123,198,114,63,116,113,118,124,132,129,125,142,154,166,174,175,181,190,195,197,197,201,204,206,195,179,187,162,146,166,145,140,139,138,146,148,144,135,128,130,136,145,157,166,171,173,177,196,209,205,206,210,190,184,181,149,147,148,143,140,129,132,132,127,124,127,137,135,134,134,134,140,149,144,135,134,160,205,217,212,191,182,161,138,137,133,132,127,125,129,128,129,128,135,143,143,138,135,131,137,151,149,142,130,111,124,182,222,190,181,185,135,141,137,116,119,121,128,130,129,130,140,143,140,137,132,133,145,143,142,142,135,127,115,108,143,188,182,192,125,180,178,63,101,116,113,115,117,121,130,142,147,143,133,140,143,144,142,143,134,130,131,124,108,187,189,190,122,191,163,53,104,115,111,113,115,116,119,135,163,189,161,149,144,141,142,139,139,130,140,137,122,188,192,186,123,202,150,53,109,115,111,113,116,117,122,137,188,184,163,140,142,133,126,130,139,130,149,147,131,192,194,180,128,208,136,54,113,113,111,113,116,119,117,164,195,160,149,107,109,114,94,114,152,141,158,149,134,195,197,172,133,211,121,58,117,113,111,114,116,116,129,196,172,149,136,107,80,82,65,119,178,163,160,137,131,197,200,164,142,215,107,63,119,113,112,113,117,110,176,208,158,140,123,95,77,74,62,139,184,177,162,132,125,196,203,155,151,214,95,69,121,112,112,113,117,112,185,201,169,140,115,77,73,70,75,154,184,190,171,136,121,200,208,148,163,210,83,76,122,112,112,114,117,112,149,207,190,157,122,79,70,99,98,134,182,190,167,136,124,202,212,141,177,210,73,84,122,112,111,113,116,117,125,198,210,179,132,87,64,100,123,145,181,169,148,135,117,203,213,136,190,205,65,91,122,112,111,112,115,117,123,170,224,191,153,127,113,119,164,172,159,137,126,128,114,206,210,131,203,194,58,97,119,110,109,110,112,114,128,148,210,209,195,186,180,186,174,140,125,119,117,118,114,209,206,131,213,181,54,103,117,109,109,109,112,113,128,147,203,192,164,158,167,180,163,122,111,115,105,117,123,210,199,133,222,166,53,109,116,108,107,108,111,115,123,183,202,157,154,154,163,182,162,118,108,106,135,112,104,212,191,139,229,150,48,110,111,105,104,106,110,114,123,198,183,154,148,148,153,169,161,126,105,188,220,105,95,214,183,144,231,140,69,120,116,108,106,105,106,110,123,175,173,153,151,141,133,147,148,122,108,224,228,112,100,217,175,157,219,180,153,152,154,150,147,143,144,146,147,153,161,165,187,189,134,114,172,139,135,208,214,118,104,218,167,166,217,187,136,134,140,140,140,141,145,146,145,139,141,144,145,198,180,122,146,148,143,152,151,116,107
19,73,77,82,85,93,99,104,109,112,114,116,119,122,125,127,128,131,132,133,135,136,138,138,140,141,141,143,143,74,77,81,86,94,100,105,110,113,116,117,120,123,126,128,131,132,133,135,137,138,139,139,142,143,143,144,144,75,79,83,88,95,102,107,112,116,117,119,122,124,126,129,132,133,135,138,138,140,141,142,143,144,145,146,145,76,80,86,89,96,103,108,114,117,118,121,123,126,129,132,134,136,138,138,140,142,143,145,145,147,147,146,148,76,81,85,90,98,104,110,115,118,120,121,124,127,131,132,136,139,141,139,142,144,144,145,146,148,146,153,143,76,82,87,91,99,106,112,116,119,121,123,126,130,130,142,141,119,133,146,143,145,146,147,147,145,162,172,96,77,82,87,92,100,107,114,118,120,121,125,127,131,130,171,148,111,89,137,145,145,146,154,155,163,168,119,83,77,83,87,92,101,107,114,119,121,123,125,130,133,129,160,162,120,105,141,157,149,152,162,163,149,109,88,135,78,84,87,94,102,108,114,120,123,122,128,125,131,136,148,160,151,158,155,151,144,132,142,130,94,98,140,158,79,84,88,94,104,110,116,121,120,145,160,129,123,129,140,146,140,132,124,131,118,101,100,101,127,156,157,154,79,84,88,95,104,110,117,121,123,172,147,133,134,138,146,146,137,125,123,113,113,85,139,155,161,156,156,157,79,85,88,96,104,110,118,118,135,161,125,124,131,145,150,146,144,138,121,88,81,99,164,155,156,158,158,157,80,86,89,97,105,111,119,116,148,156,132,131,136,135,128,123,126,114,99,83,66,117,163,155,158,159,158,158,81,86,90,98,106,112,118,119,181,169,150,148,148,140,138,132,120,82,77,80,69,137,163,158,160,160,161,161,82,87,90,100,108,115,120,125,181,164,148,135,129,135,137,131,110,79,73,81,76,148,161,159,161,161,162,162,81,86,91,100,108,115,121,125,164,157,135,119,100,97,113,110,105,82,76,78,97,162,158,160,161,161,163,162,83,86,91,102,108,116,122,124,156,156,137,97,87,65,57,90,110,85,79,81,96,165,160,161,161,162,163,163,83,86,92,102,110,117,123,123,154,159,136,100,75,46,81,109,109,82,78,78,78,154,162,160,162,164,165,165,83,86,93,102,110,117,125,118,152,161,137,111,91,66,69,77,70,64,70,78,78,148,166,162,163,164,164,164,84,87,94,103,110,118,127,117,155,163,138,116,94,83,71,59,59,69,74,79,80,150,167,163,164,165,165,165,84,87,94,103,112,119,127,118,156,162,137,115,96,88,88,75,67,70,75,77,86,157,164,165,166,166,166,166,85,88,95,105,113,119,127,118,147,156,133,114,95,87,86,76,68,73,78,77,102,167,162,166,167,166,166,166,84,88,96,106,114,119,128,119,145,151,130,108,94,87,84,77,73,78,84,74,131,171,165,167,167,168,168,168,83,88,97,106,114,121,127,125,150,147,126,105,92,85,85,83,79,81,77,93,162,165,166,167,168,169,169,169,84,88,98,106,114,121,125,128,159,146,123,101,89,86,88,85,81,77,100,154,165,164,166,167,168,169,169,169,85,88,99,108,115,123,125,130,157,140,124,106,93,89,89,87,78,94,160,164,163,165,167,169,169,169,170,170,85,89,99,107,115,124,124,138,150,134,121,108,94,85,81,82,73,128,165,162,166,167,168,169,170,170,170,171,84,89,98,108,116,125,125,153,150,131,114,100,88,78,75,78,76,141,163,164,166,167,168,169,170,170,172,172
0,182,182,184,183,184,186,187,187,187,188,186,187,187,186,186,185,187,191,187,186,187,186,187,187,185,185,186,185,183,184,185,185,185,185,186,187,188,189,188,187,188,189,189,195,173,155,185,192,186,192,189,189,189,187,188,188,185,186,186,187,186,187,187,187,189,190,189,190,182,158,177,210,159,127,122,151,141,153,191,170,160,191,188,191,185,186,187,187,189,189,188,188,189,190,194,214,184,146,126,190,166,155,106,82,131,116,136,158,107,196,188,190,187,187,188,189,190,190,191,190,192,169,191,224,180,164,126,192,180,162,118,95,149,129,103,153,105,190,193,192,187,187,189,190,191,192,187,200,212,150,133,211,193,174,127,187,203,169,123,107,165,128,85,136,99,176,198,192,187,188,190,191,192,192,188,216,210,168,137,184,215,175,125,173,213,173,118,111,170,122,70,126,99,125,206,189,188,188,190,192,193,189,207,200,204,183,151,146,221,172,120,153,218,167,110,88,149,113,60,115,120,71,186,197,189,190,191,193,191,197,208,174,210,193,156,118,210,174,119,117,205,151,98,64,119,101,56,117,131,64,158,205,191,192,193,193,191,208,190,149,195,196,157,105,187,171,115,87,170,138,98,63,99,88,55,133,140,74,157,205,191,192,193,193,193,209,192,160,175,180,143,90,150,158,110,65,141,133,99,60,102,83,81,164,154,82,159,207,189,190,192,190,201,198,175,141,140,166,133,83,122,152,105,48,118,135,87,58,121,82,127,181,154,83,164,207,189,189,191,188,202,215,187,150,108,156,130,73,110,151,106,43,116,147,88,133,164,112,131,180,154,86,176,204,188,191,193,190,200,218,192,158,105,106,135,86,100,163,118,50,109,155,153,179,167,143,109,148,151,85,181,202,190,192,193,190,204,220,199,171,136,91,115,111,97,168,137,126,171,179,177,165,152,133,116,99,112,75,180,204,192,192,194,190,204,222,206,179,153,137,125,130,151,164,179,197,197,189,173,162,142,118,110,91,82,68,177,205,191,193,194,191,203,218,210,188,169,159,148,138,153,176,189,195,196,193,175,157,139,113,98,89,77,72,191,203,189,192,194,192,200,213,212,198,185,173,157,149,147,169,184,192,190,186,171,150,136,111,93,85,68,139,208,200,190,193,195,191,191,212,211,211,196,180,160,152,151,168,187,196,186,178,166,148,130,106,89,67,125,205,199,200,181,182,187,188,181,206,213,217,197,181,165,152,152,171,192,193,182,172,162,144,122,100,74,96,203,203,203,203,103,104,108,114,103,187,213,209,194,183,168,154,148,172,188,180,166,157,148,132,110,94,69,149,193,188,194,192,86,88,88,90,70,153,212,191,186,185,175,159,145,168,182,169,151,135,122,112,99,85,84,99,103,101,98,111,94,94,95,98,80,138,207,179,186,188,175,159,144,162,180,163,139,111,99,92,82,87,94,86,82,99,146,188,93,91,91,95,82,129,206,173,187,187,172,161,148,158,173,156,121,90,83,77,92,94,93,109,157,207,217,202,93,91,90,95,85,124,217,185,188,183,166,158,149,145,156,145,103,81,76,84,92,108,174,213,228,214,203,189,90,90,92,94,83,117,220,197,193,180,164,160,155,136,147,137,93,78,75,83,131,209,232,227,222,213,219,210,93,91,92,95,85,115,209,201,198,179,165,162,156,129,141,133,89,70,69,151,217,220,223,223,206,206,218,223,94,92,93,95,84,115,199,199,195,172,161,161,158,126,133,127,87,54,123,222,202,220,217,207,203,208,215,221
24,161,166,171,176,178,181,183,186,186,187,188,189,189,189,190,190,189,188,188,188,187,186,185,185,184,184,181,180,162,167,173,177,178,181,184,186,187,189,191,191,191,191,192,190,190,190,190,189,188,187,185,186,186,184,182,181,164,169,173,176,183,183,185,187,188,190,191,192,192,191,192,192,190,191,192,190,189,189,187,187,186,183,183,182,165,168,185,198,165,186,187,189,190,192,192,193,193,192,194,193,192,192,192,190,190,190,189,189,187,184,185,183,168,165,204,219,138,189,189,190,191,193,194,195,195,194,195,195,194,192,192,191,191,191,190,189,188,185,186,185,169,167,207,212,132,188,191,191,193,194,196,198,198,198,197,196,195,195,194,193,192,192,191,190,190,188,186,185,171,168,206,219,130,180,194,193,195,196,197,198,199,199,198,197,197,197,195,194,194,193,193,191,190,189,188,187,172,170,201,226,140,176,196,193,196,198,198,198,199,199,199,199,200,199,197,197,195,195,194,193,192,191,190,189,173,173,196,230,144,166,200,195,198,198,200,201,199,201,203,201,200,199,198,197,196,196,195,194,193,193,191,189,173,175,193,237,165,148,198,198,198,206,202,196,214,209,190,203,200,200,201,199,198,196,195,194,194,194,193,191,174,179,190,246,193,148,230,209,183,239,205,154,227,225,155,174,211,203,202,201,200,201,199,199,195,194,193,192,175,180,188,236,200,180,255,208,190,243,208,156,220,212,168,136,202,207,204,203,200,194,188,183,197,194,194,192,176,183,185,232,220,214,255,208,189,251,200,168,237,199,157,117,176,213,203,204,180,157,138,117,176,201,195,194,178,186,185,236,242,228,255,216,173,253,189,172,236,193,135,103,167,209,203,198,158,127,131,156,189,200,197,196,179,184,193,233,235,224,254,221,164,237,191,176,226,182,110,80,161,212,202,175,136,154,201,207,202,199,198,197,180,182,204,230,204,209,235,218,159,227,197,176,222,159,92,122,177,205,166,138,146,209,207,203,203,201,199,198,182,183,212,253,190,183,218,207,152,231,189,178,217,147,179,206,193,168,129,134,201,210,206,206,206,205,202,200,183,181,218,255,206,171,208,202,165,238,167,165,221,211,223,198,171,153,123,195,216,209,209,208,207,206,204,201,182,180,220,255,219,162,201,212,197,230,153,193,246,219,201,190,155,133,175,219,209,209,208,208,207,205,203,201,183,182,220,255,222,176,192,205,191,210,221,250,234,210,196,175,137,147,217,213,212,210,210,208,206,205,204,201,183,182,219,255,229,202,186,211,250,255,255,236,219,207,188,150,128,195,218,213,213,212,212,210,208,206,206,203,183,184,209,255,241,210,199,223,255,255,255,229,207,187,169,131,174,221,214,215,214,215,212,211,210,207,207,205,182,187,196,255,244,214,207,230,255,255,240,223,193,167,141,156,221,216,215,214,214,213,210,210,210,207,207,206,184,191,200,250,231,214,209,231,254,241,220,201,178,151,144,215,225,222,223,221,220,218,216,215,214,216,212,204,157,156,163,238,224,221,217,226,241,231,202,175,160,137,145,164,158,158,158,157,156,157,157,157,157,146,150,180,132,129,124,227,233,228,225,229,236,220,183,159,148,131,125,121,120,120,119,117,116,117,118,109,104,142,195,207,139,140,127,226,252,231,233,231,226,207,172,151,138,131,133,133,132,131,130,129,127,128,126,142,199,229,210,185,139,140,124,218,255,236,243,224,212,202,175,142,130,131,130,132,132,130,130,129,129,123,159,230,230,198,196,172
12,174,175,177,178,179,178,179,179,180,181,180,179,179,178,178,177,176,175,175,174,173,173,171,170,169,168,166,164,176,179,179,180,180,181,181,181,181,182,182,180,180,179,169,159,165,176,176,176,175,173,172,171,170,169,167,165,177,179,180,181,182,182,183,183,182,182,180,171,175,175,142,118,103,157,177,176,174,173,173,172,172,171,168,167,179,181,181,182,182,183,183,184,183,183,165,130,114,143,146,124,102,105,157,138,128,153,174,173,172,171,169,167,180,182,182,183,183,185,184,184,183,189,165,136,112,101,155,135,110,94,91,113,102,87,153,175,174,172,170,168,181,182,183,183,185,185,186,186,185,193,174,149,127,92,154,141,119,95,73,107,98,73,103,176,176,173,171,170,182,183,183,184,186,186,186,187,190,193,187,157,131,97,133,143,122,98,65,102,97,76,77,177,176,174,173,171,184,185,185,185,186,186,187,186,194,175,191,163,133,104,106,143,123,99,65,92,101,78,80,177,176,175,174,173,184,185,185,186,186,187,185,183,172,128,159,164,130,107,91,145,126,103,72,84,101,78,94,179,177,176,175,174,184,185,186,186,187,185,184,184,156,112,100,159,134,103,76,144,134,109,82,65,88,72,128,180,179,177,176,175,185,186,187,187,189,195,194,175,135,103,75,141,131,95,70,137,156,130,94,60,76,65,147,180,180,179,177,175,186,187,188,188,196,193,172,163,129,110,81,120,130,105,81,139,167,136,95,69,84,74,163,182,181,179,178,177,187,187,188,188,202,184,148,159,133,117,90,92,140,135,98,114,144,113,77,70,86,73,149,183,182,179,178,176,188,187,188,193,190,168,135,130,138,116,88,72,146,145,110,65,63,60,59,81,86,63,93,183,183,180,179,177,188,188,189,193,183,157,130,100,126,118,98,68,127,137,105,65,50,73,81,81,67,60,67,177,184,181,180,179,186,188,190,192,191,169,143,115,102,127,99,70,56,98,101,71,85,103,116,102,76,68,78,180,183,183,180,179,188,190,191,193,195,175,150,124,98,113,94,83,55,110,153,139,131,123,126,105,78,60,118,185,185,184,181,179,189,190,192,194,197,182,157,133,108,91,103,107,84,155,181,169,148,131,122,101,74,55,153,186,186,184,181,179,189,190,192,195,191,176,155,132,108,93,95,113,127,179,179,164,143,127,111,95,68,61,174,186,186,184,182,180,190,191,193,193,181,168,154,132,106,107,92,124,163,177,170,154,136,120,104,88,63,105,187,186,186,184,182,181,190,192,193,191,180,169,156,130,108,121,107,156,170,172,164,145,128,112,96,76,71,174,188,187,186,185,182,182,191,193,193,193,184,169,158,136,118,118,117,161,164,168,159,139,117,101,87,63,114,191,190,188,187,186,184,182,191,193,193,194,186,173,161,143,123,108,116,158,158,159,146,128,105,90,74,57,167,192,192,189,187,187,185,184,190,193,194,195,191,179,162,142,122,104,111,146,149,144,131,111,92,79,60,101,191,194,191,189,188,187,186,185,191,193,195,195,194,178,160,144,126,112,111,136,139,128,115,100,82,66,63,172,193,192,191,189,188,187,186,185,192,193,195,195,195,173,150,138,124,120,114,130,140,127,110,95,76,54,136,193,194,192,191,189,188,187,187,186,193,194,195,194,196,172,154,145,138,135,125,130,137,123,106,87,67,87,188,196,194,193,192,191,189,187,187,187,193,194,194,191,193,172,157,154,146,137,130,131,134,118,90,76,60,152,196,196,196,194,193,192,190,189,187,186
12,125,141,155,163,166,174,183,191,195,199,203,208,213,217,221,224,227,229,232,234,235,236,236,238,240,242,242,242,129,145,158,165,169,178,187,194,197,201,206,210,215,220,224,226,230,238,239,236,236,240,241,241,244,245,244,244,132,147,162,166,170,181,191,197,200,204,209,214,218,223,225,230,231,210,222,245,239,241,245,251,244,246,247,246,134,150,164,168,173,183,191,199,202,207,212,217,221,228,233,239,245,167,128,211,253,209,159,213,255,245,249,248,136,152,165,170,175,186,193,200,205,210,214,219,226,212,186,251,253,179,132,124,189,199,136,115,233,255,250,251,138,155,167,171,178,189,197,202,208,212,216,219,251,201,132,143,241,209,162,116,119,200,166,109,172,255,250,252,141,157,170,174,180,191,198,204,210,217,216,236,255,203,158,111,205,244,177,142,110,186,185,130,145,255,254,255,143,159,172,176,183,192,200,206,212,217,221,252,246,234,187,151,163,255,204,149,102,151,185,140,130,255,255,255,146,162,174,178,185,196,202,208,215,216,236,237,209,255,218,171,125,220,230,153,103,112,164,136,112,255,255,255,148,165,175,179,187,198,204,210,213,216,255,196,186,250,233,170,123,165,232,151,106,91,149,121,104,255,255,255,150,167,177,182,189,199,206,209,197,190,221,188,171,216,228,182,134,115,202,145,106,86,130,116,109,255,255,255,153,168,178,181,190,197,218,236,221,216,212,178,122,104,209,179,120,83,168,151,108,85,121,118,117,255,255,255,155,169,179,182,192,196,230,255,251,255,241,150,108,51,152,149,101,68,127,171,148,91,137,137,135,255,255,255,157,172,179,184,195,196,240,255,212,214,195,121,107,61,94,131,113,55,90,211,172,104,142,159,101,238,255,255,158,174,180,185,195,199,234,236,193,164,188,149,116,72,56,131,123,72,122,204,181,113,115,147,78,184,255,255,161,175,181,187,196,203,225,207,171,128,163,185,111,87,54,97,100,123,198,195,171,111,97,112,91,212,255,255,160,174,182,186,196,202,222,231,197,155,131,185,117,97,74,81,125,189,211,199,176,145,120,105,123,255,255,255,161,174,180,184,195,202,228,233,196,164,134,158,128,98,80,93,174,208,210,209,196,162,130,91,191,255,255,244,163,176,181,184,197,202,229,229,211,197,143,124,146,128,105,115,215,217,216,223,190,151,119,111,255,240,225,181,164,175,182,186,198,205,227,228,222,205,138,138,173,153,119,138,229,226,233,214,163,140,109,148,253,145,152,221,163,176,182,188,197,206,221,220,214,211,139,156,172,145,150,204,238,237,227,186,143,126,107,142,144,163,130,150,163,175,181,187,197,206,214,209,215,203,152,164,174,150,191,217,239,229,204,161,127,111,128,194,141,180,142,132,163,175,180,187,198,208,218,217,222,198,159,168,175,148,192,201,224,215,186,143,118,97,166,234,157,120,185,236,136,142,146,149,155,160,163,187,215,195,170,175,170,150,183,203,202,193,157,122,101,134,147,153,156,142,194,181,131,132,132,133,136,135,128,145,217,197,177,173,164,157,166,193,184,151,124,106,105,149,226,183,174,182,146,174,136,135,139,141,142,144,146,141,213,220,190,169,165,163,161,179,167,128,108,109,197,220,255,249,250,206,177,234,136,137,137,139,141,141,143,138,195,207,185,164,155,150,152,163,146,119,90,144,255,241,211,214,223,188,150,163,136,138,139,142,143,142,144,141,199,203,146,132,131,133,143,143,122,106,84,132,255,223,221,240,255,231,171,141
3,66,58,6,42,68,82,91,103,111,116,120,124,127,130,132,135,137,139,143,143,145,148,148,151,152,153,152,153,73,53,7,49,73,85,95,106,112,118,123,127,129,131,133,136,140,139,140,146,147,149,151,152,153,154,155,156,80,48,9,54,75,87,97,108,114,119,125,128,130,132,136,138,141,149,102,140,151,151,152,153,153,155,157,156,81,38,12,58,77,88,98,109,115,121,126,129,131,133,137,139,145,164,94,123,155,151,153,154,156,157,158,158,82,28,19,60,78,89,99,110,117,122,125,129,131,135,138,140,148,162,90,122,156,152,154,156,157,157,158,159,81,21,27,63,80,90,102,112,117,124,128,130,134,137,141,141,152,166,91,128,156,152,156,157,158,159,159,159,79,14,33,65,82,91,103,114,119,125,130,134,138,136,136,137,162,154,88,131,159,156,158,158,160,160,161,161,75,11,41,68,84,93,106,115,121,127,128,131,131,166,151,113,153,129,81,133,161,158,159,160,161,161,161,162,69,10,47,71,86,96,107,116,123,125,147,154,121,139,174,129,101,119,79,143,161,159,161,161,161,163,164,164,60,10,52,73,86,97,109,118,123,121,154,187,162,106,136,140,105,130,87,154,158,160,161,163,164,165,166,166,50,13,56,76,88,100,112,118,127,168,151,115,152,125,97,166,143,124,79,149,163,160,163,164,165,166,166,167,40,17,60,77,91,101,113,116,135,180,165,117,94,139,94,98,113,130,82,105,165,162,164,165,166,167,167,168,29,23,63,78,92,103,114,115,145,153,108,138,121,121,127,58,85,146,138,93,127,171,164,166,168,168,169,169,20,30,65,81,93,103,116,115,153,147,78,96,98,88,98,94,89,130,155,98,122,173,166,168,168,169,170,169,11,36,67,82,94,105,117,116,156,147,123,98,70,85,99,114,95,135,156,91,139,174,168,169,170,171,171,171,7,42,69,82,93,105,115,117,166,160,121,88,76,97,119,120,106,157,163,92,153,171,168,170,171,171,172,172,6,47,70,85,95,105,116,119,166,148,104,84,87,108,131,134,150,174,150,89,158,170,169,170,172,172,172,173,9,51,71,85,96,106,118,118,163,155,117,95,89,114,138,159,181,163,134,87,159,170,171,172,173,173,173,174,13,53,74,88,97,108,118,118,161,162,126,101,95,113,151,183,181,147,108,95,170,171,172,173,173,173,173,174,18,56,75,88,98,109,118,118,158,171,141,107,103,117,169,182,174,147,88,102,176,169,173,173,173,173,174,174,22,58,75,88,97,109,118,119,151,170,143,119,111,122,176,181,164,141,80,115,178,170,173,173,173,174,174,174,26,61,76,87,97,109,117,122,138,159,147,137,124,127,170,172,152,132,75,137,177,170,172,173,174,174,174,175,30,62,78,88,98,109,117,123,130,153,154,143,137,123,154,155,138,114,80,160,173,171,173,173,174,175,175,175,34,63,79,89,99,110,116,123,129,158,160,146,132,116,133,138,129,106,96,174,170,172,174,174,175,176,175,175,38,64,79,89,99,110,117,125,128,170,166,143,126,114,127,125,130,91,134,176,169,172,174,175,175,176,176,176,41,65,79,89,99,110,117,125,131,180,165,145,130,119,134,124,113,86,162,170,171,173,174,174,175,176,176,176,45,67,79,89,99,110,117,123,134,178,174,160,128,133,143,115,86,100,172,168,171,172,174,175,175,177,177,176,49,68,81,90,100,110,116,123,135,179,182,161,127,140,134,108,73,114,174,168,171,172,174,175,176,177,178,178
15,164,142,144,127,91,163,73,30,83,81,82,86,90,92,103,115,128,138,141,144,151,158,161,165,167,170,174,176,164,142,150,120,101,166,60,37,84,82,84,86,89,92,104,118,130,139,143,147,154,159,164,167,170,173,175,178,164,147,157,112,115,166,47,47,86,82,85,89,91,92,105,120,132,142,146,149,155,162,167,169,173,176,178,181,162,149,161,106,129,160,38,58,87,82,86,88,90,94,108,122,135,144,147,151,158,165,169,173,176,179,181,184,162,150,161,97,145,151,22,63,85,81,85,90,95,96,112,128,139,147,150,153,161,168,171,176,179,182,185,187,158,160,157,112,143,138,88,106,106,112,121,123,120,102,102,115,129,144,152,157,164,171,181,183,181,185,188,191,155,172,144,124,126,123,125,113,106,113,110,106,99,106,106,103,106,112,121,131,131,125,137,166,193,192,190,194,159,154,120,116,115,112,105,100,101,103,102,100,101,114,117,114,111,109,108,120,127,115,103,91,127,184,203,197,163,161,133,103,109,98,101,96,102,105,106,104,109,119,119,117,111,105,111,123,123,120,114,100,83,91,154,203,163,169,139,107,177,80,52,91,90,93,95,99,108,118,120,115,106,108,119,122,115,118,113,106,102,90,79,112,166,174,126,120,189,60,37,91,83,85,87,90,91,107,123,148,130,119,118,119,120,119,114,109,108,110,97,79,170,179,118,135,182,48,51,91,85,86,88,91,92,104,133,177,160,134,123,118,109,114,110,112,111,123,107,92,171,181,110,148,176,37,58,92,85,86,88,91,93,104,168,161,140,103,98,108,89,91,110,113,120,133,114,102,172,179,106,161,165,30,67,91,84,86,89,93,87,135,176,138,126,95,59,71,55,61,140,130,135,128,111,109,173,176,101,172,152,24,74,91,84,86,89,89,102,184,156,125,109,89,54,47,35,66,161,150,143,117,103,110,175,171,102,184,139,21,81,91,86,86,89,82,136,197,156,119,101,65,45,48,31,91,163,163,154,120,99,104,180,167,103,192,124,21,87,90,85,86,90,84,116,186,171,133,105,57,39,46,50,100,156,173,160,124,100,96,187,161,109,202,110,23,91,89,85,86,88,91,90,168,190,160,116,71,34,74,86,88,149,166,144,119,100,85,192,155,116,211,97,28,94,88,85,85,88,91,91,134,204,179,130,80,47,53,105,141,154,139,115,110,95,77,197,144,126,212,83,33,96,87,84,83,86,88,96,114,193,190,164,149,142,142,156,139,122,104,93,97,92,80,200,136,140,210,67,39,95,84,83,82,85,85,96,111,163,199,168,153,150,157,154,114,89,91,86,88,93,97,201,126,153,204,55,47,94,83,82,81,84,86,94,119,184,157,130,128,135,158,152,102,82,83,78,90,94,88,199,120,168,196,45,56,95,83,81,80,84,88,88,148,187,136,129,131,129,149,147,108,82,93,172,116,65,61,196,115,182,185,26,54,86,74,73,74,78,81,85,146,170,130,118,116,114,133,134,111,73,172,238,125,66,66,191,113,190,174,86,104,116,104,99,95,93,94,102,128,148,141,152,150,107,89,128,106,86,165,239,131,72,68,185,116,194,178,148,116,128,128,126,123,125,128,125,124,125,134,141,182,153,88,135,134,113,153,183,120,80,71,179,118,199,176,133,102,118,115,116,117,119,118,120,119,117,121,115,143,182,122,110,125,124,121,124,104,77,77,172,124,202,172,133,111,120,121,122,122,122,123,124,126,127,128,127,124,144,136,127,130,131,131,136,108,65,48
12,137,139,141,144,146,146,150,153,154,155,155,155,157,155,156,157,156,155,157,157,156,155,155,155,153,153,153,152,139,142,144,146,148,149,152,155,156,157,156,157,157,158,158,158,158,157,159,160,159,157,157,156,155,154,154,154,140,143,146,147,149,150,153,154,156,159,159,158,159,160,159,160,160,161,160,161,161,161,160,158,158,157,155,155,141,143,147,148,149,152,154,156,157,158,159,161,162,161,161,163,163,161,160,162,162,163,162,160,159,159,157,157,142,145,148,150,152,154,156,158,159,161,162,163,163,161,167,165,163,163,166,164,161,162,161,161,161,160,161,159,143,146,148,151,154,156,159,160,161,162,163,161,164,163,149,160,170,155,132,155,166,162,161,163,163,163,163,161,145,148,150,153,154,157,160,163,164,162,164,160,184,183,128,123,193,149,87,93,176,166,170,163,164,164,164,163,147,149,152,154,156,157,160,162,164,164,164,162,213,194,140,113,188,145,86,48,132,119,128,171,164,166,166,166,149,152,154,156,159,159,160,162,162,166,174,130,141,181,132,102,181,138,78,56,150,108,44,134,173,165,167,168,148,151,154,157,159,161,164,166,159,195,186,145,79,131,127,90,175,138,67,98,163,119,54,79,181,167,167,167,149,152,154,157,160,162,165,164,177,214,200,156,95,78,148,90,192,177,98,125,169,132,57,69,179,169,169,167,150,154,156,158,161,163,166,161,198,182,194,159,98,64,164,94,163,164,73,135,206,147,50,73,181,170,170,170,152,154,158,160,162,166,167,166,208,175,180,159,98,47,88,76,43,109,89,134,156,87,25,81,182,170,170,171,154,157,159,161,163,168,163,194,207,156,165,154,100,52,28,30,25,140,182,165,134,107,35,91,184,170,173,171,155,158,160,163,165,166,166,210,190,136,142,148,102,61,46,51,141,170,158,147,124,112,60,113,186,173,174,171,156,158,162,164,167,166,177,209,179,151,118,139,143,61,37,165,195,165,147,132,98,82,58,118,186,173,176,173,157,159,162,165,169,165,193,209,183,165,125,102,115,62,116,209,193,161,142,123,89,76,48,129,187,175,177,175,159,161,162,166,171,165,200,208,184,158,148,110,107,131,193,206,191,154,134,109,80,70,43,147,186,177,177,176,159,162,165,168,172,166,201,208,186,166,154,126,130,139,198,206,182,147,124,101,75,68,34,134,188,175,178,178,161,162,165,169,172,167,199,212,191,175,165,140,119,152,203,198,170,144,114,89,70,61,34,157,186,176,178,178,162,164,167,169,172,170,193,212,192,176,164,146,125,176,194,178,158,137,108,80,68,37,103,190,178,179,179,179,162,165,169,170,173,172,187,209,185,171,152,137,147,182,167,162,144,122,96,75,43,88,187,182,180,180,181,180,164,166,168,170,173,172,192,206,179,169,149,147,168,179,154,153,132,107,88,56,82,184,184,183,183,182,182,181,165,167,170,172,176,170,202,205,187,179,163,162,178,176,152,142,121,103,73,62,172,188,184,185,183,183,183,183,166,168,171,173,178,170,217,213,200,181,170,175,177,161,147,118,104,86,51,130,191,185,186,184,184,184,184,183,166,169,172,173,175,175,221,211,209,186,179,177,163,151,128,98,92,53,102,189,188,189,187,185,185,185,184,183,166,170,173,176,172,180,210,197,201,180,176,163,157,133,111,95,74,63,169,192,189,190,189,186,186,185,185,184,167,170,174,177,169,185,206,178,175,163,162,165,148,118,113,90,54,109,190,190,190,190,190,188,187,187,186,185
24,112,119,126,130,134,138,141,143,145,149,150,153,156,158,160,160,161,163,164,165,168,169,170,169,169,170,169,170,114,121,127,132,136,139,141,144,147,150,151,157,158,159,161,162,164,165,168,170,170,171,171,170,170,170,171,171,116,123,129,132,137,140,143,146,149,151,154,157,160,161,162,164,165,167,170,171,171,172,171,171,172,173,172,173,117,123,131,136,139,142,143,146,150,153,155,159,161,163,163,166,167,169,171,171,172,173,175,172,174,175,174,175,119,125,132,137,140,142,146,148,152,155,158,159,162,162,164,167,169,170,170,173,175,177,176,175,176,176,176,177,121,127,133,138,142,150,138,150,152,156,158,162,163,164,166,169,170,171,173,174,175,176,176,176,177,178,178,176,120,128,134,135,160,157,99,147,155,157,159,164,165,167,169,170,172,173,175,175,175,177,178,178,179,179,178,181,122,130,135,137,180,128,98,152,156,159,161,164,167,168,170,170,173,175,176,179,181,182,178,179,181,182,181,181,124,133,132,153,181,107,113,158,155,162,166,166,168,172,173,173,174,176,177,167,143,158,182,180,182,182,182,182,124,134,129,174,170,93,131,159,160,156,148,166,165,147,161,178,175,180,151,114,92,101,182,184,183,183,183,184,125,133,134,195,148,125,143,143,181,158,110,141,166,135,113,161,185,168,117,86,88,141,186,183,184,185,185,184,128,132,145,198,149,194,156,132,179,155,99,147,156,138,99,119,200,149,102,86,162,190,184,185,186,186,185,185,129,129,162,196,183,202,165,133,173,144,91,141,145,118,85,154,179,128,88,125,197,182,186,187,187,186,186,187,130,128,175,195,181,221,165,126,166,138,83,74,127,121,129,167,135,103,87,174,188,187,188,189,188,189,189,188,132,128,185,209,177,209,159,113,173,122,101,115,156,162,145,139,125,84,122,196,187,190,190,189,189,189,190,190,130,140,197,196,173,189,143,97,167,174,183,187,165,141,123,111,115,85,163,196,189,190,190,191,191,191,190,191,124,167,176,160,147,164,151,125,195,214,195,178,155,132,109,102,98,99,191,191,191,191,191,192,193,193,192,192,129,200,180,155,136,136,154,202,219,205,195,179,147,121,100,98,82,136,201,191,194,193,193,194,193,193,193,193,153,219,181,161,148,126,155,225,205,193,183,159,135,111,95,92,78,169,198,194,194,195,196,196,194,195,195,195,187,222,181,174,164,174,208,216,197,178,168,143,119,102,93,90,83,179,198,194,195,195,196,197,197,197,197,196,208,223,191,182,173,198,209,195,179,162,154,130,109,98,93,85,102,196,195,196,197,197,196,199,198,197,197,197,211,232,201,184,171,186,196,183,172,150,146,120,103,92,89,77,155,201,194,197,197,198,198,199,199,198,198,198,199,238,205,192,177,181,192,187,166,149,139,113,96,86,69,123,200,195,197,198,199,199,199,200,200,199,200,199,176,229,200,186,186,176,175,181,156,135,124,105,83,72,130,192,195,196,198,199,201,201,201,199,200,201,202,201,162,211,203,190,191,176,159,173,155,131,116,93,65,131,199,193,195,197,198,200,200,202,202,201,202,203,202,203,152,207,204,191,180,174,152,164,150,129,111,74,93,188,191,194,196,198,199,200,201,202,202,202,203,203,204,203,153,215,207,184,166,173,152,153,144,124,110,72,131,199,191,195,197,199,200,201,202,202,202,203,203,204,205,204,159,215,207,176,156,177,149,145,145,121,104,76,140,198,191,196,198,199,201,202,203,203,204,205,204,205,205,206
8,194,194,194,194,195,194,194,166,142,191,194,194,194,193,192,190,190,189,188,187,185,184,183,182,180,179,178,177,196,195,195,195,195,195,188,144,110,189,196,195,195,196,195,193,193,191,190,189,188,187,186,184,182,181,180,178,197,196,197,197,198,197,178,123,116,197,198,197,197,197,196,196,194,194,193,192,190,189,188,186,185,183,182,181,200,199,199,200,200,194,164,101,147,202,199,199,200,200,199,197,196,196,196,194,192,192,190,189,188,186,185,183,201,201,200,201,201,193,149,90,179,203,201,201,201,201,200,199,199,199,197,196,194,194,193,191,190,188,187,185,202,202,202,203,202,192,145,96,191,204,203,203,203,203,202,201,200,200,199,197,196,196,195,194,193,190,189,187,204,203,203,204,203,189,137,100,196,206,201,181,170,199,202,198,202,202,201,199,192,196,196,195,195,192,191,189,205,205,205,206,205,184,131,96,194,206,191,161,123,141,160,140,170,202,197,194,162,177,199,197,196,194,193,191,207,207,207,207,206,189,159,108,177,204,190,176,141,98,120,117,109,165,145,152,159,138,198,200,198,196,195,193,207,207,208,208,208,194,176,128,160,199,189,190,153,103,98,116,108,150,127,108,154,131,157,201,199,197,195,194,208,209,209,209,209,199,177,147,149,174,180,193,160,108,83,101,130,151,115,89,140,148,112,155,196,199,197,195,210,211,210,210,210,203,188,174,157,155,146,176,162,116,77,82,137,142,101,74,117,164,132,102,161,202,198,196,211,212,211,211,212,205,196,170,145,133,134,149,167,121,74,76,139,131,91,59,114,175,139,88,155,203,199,197,212,213,213,212,213,205,187,150,122,104,105,120,178,151,96,83,139,117,72,51,144,176,121,94,188,202,200,199,213,214,214,214,213,203,190,164,133,98,85,81,167,187,129,89,138,107,63,83,157,157,97,139,205,203,201,200,214,215,214,214,213,198,192,175,136,93,84,86,160,179,129,94,123,116,122,129,158,123,90,186,207,204,202,201,215,215,215,215,213,195,196,176,135,101,86,103,176,148,94,108,133,142,144,119,125,90,113,207,206,205,203,201,215,215,216,216,213,198,196,173,143,107,94,115,167,162,157,173,168,151,137,98,88,72,162,210,207,206,204,202,215,216,217,216,212,198,194,178,146,106,106,149,190,195,200,190,167,146,121,81,65,126,205,209,208,207,206,204,215,215,216,216,212,193,194,183,147,113,125,178,199,203,201,180,157,133,101,65,116,203,212,210,209,207,206,205,215,215,216,216,213,193,189,181,153,123,141,186,197,206,193,167,143,115,76,105,198,212,210,209,208,207,205,203,216,216,217,217,216,197,190,180,155,125,147,182,183,186,170,148,122,86,94,190,212,210,209,208,208,207,205,202,217,217,217,218,215,198,191,182,154,133,147,177,171,164,141,117,86,84,181,214,212,211,209,209,208,207,205,203,216,217,217,217,214,199,187,175,159,146,147,172,162,146,120,82,76,170,216,215,214,213,210,209,207,207,206,205,217,217,217,218,208,196,186,179,172,156,148,163,149,123,91,76,165,215,216,216,215,214,211,210,209,209,206,187,214,216,217,217,200,193,188,186,172,156,155,159,133,95,69,152,217,217,217,216,215,215,212,203,189,172,138,98,150,155,158,162,176,198,196,188,171,157,155,145,112,76,87,184,199,200,200,201,199,177,141,111,85,72,57,52,107,108,109,109,163,202,195,180,165,157,142,127,100,66,80,114,122,125,125,125,111,83,60,54,47,44,47,42
1,37,40,46,51,66,90,107,115,118,125,133,139,144,148,157,157,159,162,164,165,167,169,170,171,172,173,173,173,38,42,48,54,70,92,110,118,122,130,137,142,147,165,139,161,165,163,164,165,166,169,170,170,170,171,171,171,40,45,50,56,74,97,115,121,127,137,141,143,165,201,91,129,152,166,166,167,168,169,170,171,170,171,172,171,40,45,51,56,77,101,118,126,133,140,156,148,154,210,86,103,110,138,179,172,173,172,172,172,171,173,172,171,42,46,53,59,81,106,123,129,139,141,197,160,109,210,84,107,128,91,187,178,179,179,179,177,176,176,175,174,44,49,55,60,84,110,127,133,145,146,203,169,98,191,83,99,141,68,177,187,185,185,185,185,182,182,181,180,46,50,56,64,90,113,129,136,149,149,208,172,83,183,108,100,150,70,166,199,191,191,192,191,189,188,187,185,46,51,57,67,95,118,133,140,154,161,195,177,73,149,107,102,169,82,153,209,197,200,199,197,195,193,192,190,47,52,57,70,100,123,137,140,174,171,161,178,70,120,106,85,162,81,148,217,203,205,205,204,201,199,198,197,49,54,58,74,104,127,142,139,207,160,146,174,71,142,121,82,189,106,145,223,208,210,210,209,207,207,207,205,49,56,59,77,108,132,144,145,217,137,139,193,82,133,121,83,201,125,137,228,214,216,216,214,213,212,212,209,52,57,59,80,113,135,146,154,221,126,119,193,74,87,105,83,193,129,124,233,218,220,219,219,218,217,216,214,55,60,62,84,116,139,149,163,227,134,85,176,84,88,103,129,169,113,116,236,223,225,225,224,223,221,220,219,55,59,63,89,120,143,153,167,235,149,57,195,183,134,136,157,136,79,102,235,227,229,228,226,225,224,225,225,55,58,63,92,124,148,156,172,231,136,107,158,142,125,131,120,115,112,81,223,235,232,232,232,231,229,227,227,55,58,65,95,127,151,158,180,236,169,156,108,97,126,131,99,127,162,116,156,248,233,237,236,236,235,234,233,56,58,66,99,130,155,159,194,247,180,136,94,113,104,139,157,186,201,183,105,189,250,236,239,237,236,238,238,56,59,69,105,134,160,161,208,250,173,117,91,114,127,180,240,199,202,208,113,87,237,243,242,241,241,240,237,56,59,70,108,139,164,163,214,253,173,109,101,124,145,208,242,248,212,157,85,72,214,254,243,242,242,251,255,57,59,73,113,143,166,168,209,255,185,110,107,133,168,218,237,242,203,134,78,79,233,249,248,255,253,210,142,58,59,76,116,146,169,170,205,255,201,129,106,144,180,229,245,231,187,128,73,97,253,255,247,170,92,33,9,57,58,79,119,150,172,175,203,251,222,156,112,149,177,235,247,212,170,122,67,122,255,229,89,10,5,15,12,55,56,81,122,152,172,177,198,238,226,174,125,143,179,236,235,203,158,111,56,168,223,62,24,26,0,18,16,53,55,82,123,154,172,177,194,219,224,186,144,147,175,229,221,191,144,100,64,113,45,0,17,40,0,0,27,53,54,84,127,158,175,180,197,208,220,195,161,158,155,215,202,178,126,89,61,45,28,20,0,24,18,0,6,45,47,82,127,160,178,184,199,210,215,197,167,162,141,185,183,155,109,79,50,57,35,18,0,0,32,0,0,69,69,94,131,158,175,184,198,212,213,197,175,165,143,147,169,138,97,64,43,57,38,7,0,0,12,9,0,108,110,108,105,110,119,124,129,131,150,209,182,169,147,128,150,126,87,48,36,51,22,20,0,0,0,20,0
24,162,165,168,171,173,174,177,179,180,180,181,181,182,183,183,183,183,183,184,184,184,184,184,183,182,181,181,180,164,167,170,173,175,177,179,181,182,182,183,183,184,184,185,185,186,186,186,186,186,186,186,186,184,183,183,182,166,169,172,175,178,180,182,183,184,185,185,186,187,187,187,188,187,187,187,187,187,188,188,188,187,186,185,185,168,171,174,178,181,183,184,185,187,187,187,188,188,189,190,190,190,190,190,190,190,190,191,190,189,188,188,187,168,170,176,180,183,185,186,188,188,189,190,191,191,192,192,192,192,193,193,193,193,192,193,192,191,190,189,188,153,150,175,183,185,187,188,190,190,191,192,193,193,193,194,194,195,195,195,195,195,195,195,194,194,192,192,191,137,122,169,185,187,189,191,193,193,194,194,194,194,196,196,196,197,198,197,197,197,197,197,197,194,190,190,193,130,110,164,186,189,191,193,194,193,194,195,187,182,191,197,199,199,199,199,199,199,199,197,189,175,155,164,191,121,101,163,188,190,188,190,190,176,172,186,172,150,157,190,200,200,200,201,201,201,200,191,168,139,119,152,192,115,99,162,190,186,167,167,185,163,145,166,173,152,136,169,199,201,201,202,202,202,199,187,152,116,135,183,199,125,104,157,192,195,172,159,178,172,154,156,176,169,142,147,194,203,203,203,203,202,196,176,132,122,178,200,201,141,120,156,192,202,195,172,165,180,171,150,163,175,145,130,184,204,205,205,203,199,188,154,113,146,198,203,203,165,155,167,188,193,198,184,150,160,179,154,139,159,132,110,173,204,203,198,192,187,164,122,123,182,205,205,204,183,181,179,185,180,178,180,135,123,169,155,113,112,103,96,156,187,186,177,166,157,126,116,170,205,208,206,206,185,191,187,185,180,169,160,124,99,131,129,87,68,90,119,159,180,179,162,140,120,108,156,203,209,209,208,207,188,194,188,182,177,163,150,128,102,95,97,76,77,124,169,187,187,173,146,117,102,134,196,211,210,210,209,209,190,194,186,168,163,157,150,138,120,107,106,114,144,175,192,192,179,158,126,98,109,178,211,213,212,211,211,210,191,194,193,176,157,153,161,156,149,138,140,168,191,197,193,183,165,139,106,96,150,205,214,214,213,212,212,211,191,194,201,196,173,154,155,165,176,180,185,201,204,198,187,169,146,115,95,134,197,214,215,215,214,213,213,212,191,194,199,203,189,166,153,161,178,197,206,208,205,195,175,150,122,96,114,184,214,216,215,215,215,214,213,213,192,195,197,204,203,183,164,164,180,203,212,212,206,186,156,127,100,96,158,209,215,216,215,215,214,214,213,212,192,195,198,206,213,203,181,175,185,207,217,211,195,166,133,105,88,123,196,216,216,216,215,215,214,214,213,213,193,195,198,200,208,211,195,184,188,204,211,201,176,142,111,87,93,167,213,218,218,218,217,217,215,213,207,197,193,195,197,194,193,201,195,187,186,188,190,182,158,123,92,78,121,199,217,218,219,218,217,217,215,207,196,164,176,179,183,183,177,183,188,183,176,167,165,165,145,111,83,81,153,209,216,216,217,217,217,215,204,197,199,175,123,126,128,131,134,160,180,173,161,151,152,156,137,110,86,84,139,172,177,179,182,187,191,198,199,187,177,147,103,104,105,105,107,133,165,154,146,147,156,160,138,115,96,81,100,115,116,118,119,123,138,177,201,184,161,138,104,106,109,109,108,119,151,146,149,157,164,164,139,116,102,84,96,110,112,112,110,115,139,162,194,187,137,146
23,174,174,175,175,176,177,177,177,177,177,178,178,178,178,178,178,178,177,177,177,177,175,175,174,174,173,171,169,177,178,178,179,180,180,181,182,181,182,182,181,181,181,181,180,181,182,180,180,179,178,177,177,176,176,174,172,181,182,182,184,184,184,185,186,186,186,184,184,184,184,182,187,187,184,184,183,183,182,181,180,179,178,177,176,185,185,186,188,187,187,189,190,189,188,196,186,188,192,188,159,179,195,187,186,187,185,183,184,183,181,181,180,189,189,189,191,190,191,192,194,190,196,227,201,190,208,194,160,128,176,197,190,190,189,188,187,185,184,184,183,192,193,193,194,195,194,196,198,193,216,216,184,123,141,132,157,158,140,163,197,192,192,191,190,190,189,187,185,195,196,196,197,197,198,199,199,200,225,206,171,108,174,182,166,138,119,130,201,195,194,195,194,193,191,190,189,198,198,199,199,200,201,201,199,212,211,210,150,163,211,168,197,192,179,195,203,198,198,197,197,196,195,194,193,200,202,202,203,204,204,206,204,214,206,211,216,222,199,121,162,222,206,205,204,203,202,199,199,199,198,197,196,203,205,205,205,207,199,188,193,198,206,209,207,201,191,122,108,188,209,205,206,205,205,203,203,200,199,198,198,206,207,207,209,205,183,158,167,178,180,176,176,170,157,122,65,78,183,215,207,207,206,205,206,205,203,201,200,207,209,208,207,211,202,199,188,193,186,173,167,148,96,88,66,57,160,223,209,211,209,208,208,207,206,205,204,209,210,212,208,207,212,211,201,179,133,130,136,133,83,85,65,72,200,217,211,213,213,211,211,209,208,206,206,212,213,214,211,196,198,217,200,132,104,62,111,146,84,86,65,110,226,215,216,215,214,213,213,212,211,209,207,214,214,217,215,196,192,222,196,117,69,51,138,151,90,82,50,129,232,215,218,217,216,215,215,214,213,211,208,215,216,218,217,197,189,224,203,142,75,75,126,98,81,68,54,111,229,218,219,219,219,218,217,216,215,213,213,218,218,220,220,194,192,233,207,142,97,54,48,45,53,61,69,104,226,221,220,220,220,219,219,217,217,215,215,219,218,221,218,187,206,237,206,146,113,65,42,58,64,73,74,125,233,221,221,222,221,221,219,218,219,218,217,220,222,223,218,189,208,227,207,154,117,94,74,89,88,89,78,138,237,222,224,222,222,221,220,221,220,220,219,222,225,225,225,193,198,211,192,144,118,107,82,95,95,94,79,163,239,223,226,225,224,224,222,222,221,220,219,225,226,227,228,197,190,194,176,150,145,114,87,95,95,94,85,205,236,226,227,228,227,226,225,224,222,221,220,226,226,228,231,204,194,193,175,156,145,110,91,96,102,85,123,238,230,230,228,229,229,228,227,225,224,223,220,226,227,228,231,209,208,192,173,147,125,103,95,98,100,92,208,239,231,231,230,229,229,228,227,227,225,224,223,227,228,229,228,214,221,198,179,159,126,100,92,93,94,196,243,233,233,233,233,232,230,229,228,227,227,226,225,228,228,232,226,215,221,196,183,165,119,91,91,79,170,250,233,236,234,234,234,233,233,232,230,229,228,227,226,228,230,235,228,214,200,184,170,145,97,84,86,95,229,238,237,236,235,235,235,234,234,233,232,232,229,227,227,230,232,234,224,214,186,172,167,157,93,89,83,130,244,236,239,237,235,237,237,236,235,234,233,232,231,229,228,230,232,232,222,225,189,169,183,184,100,93,83,147,252,237,239,238,237,238,237,236,236,235,234,233,234,230,221
20,142,145,149,153,154,157,161,162,164,165,166,168,166,168,169,166,167,166,166,165,163,161,161,160,158,156,155,154,144,148,151,155,157,161,164,165,167,168,169,168,173,154,160,173,168,168,168,167,166,165,163,162,161,160,159,157,146,151,154,157,162,165,167,168,169,172,174,167,200,133,112,177,171,170,171,170,169,167,166,165,164,163,162,160,149,153,157,161,164,168,169,171,173,175,175,171,209,142,117,136,147,178,172,172,171,169,169,166,166,166,164,163,151,155,161,164,167,170,172,175,177,177,178,174,206,137,149,152,111,185,173,175,175,173,172,170,169,169,168,166,154,159,163,167,168,171,176,179,179,180,180,178,213,153,152,173,98,178,178,177,177,176,175,174,173,172,171,168,158,162,166,169,171,174,178,181,182,183,183,181,219,165,146,193,100,170,184,180,179,178,176,176,176,175,174,172,160,164,168,171,174,176,180,183,183,183,187,186,216,155,144,201,109,158,191,182,182,180,179,178,177,176,176,174,163,167,169,173,177,181,183,183,190,194,170,188,235,162,150,204,116,146,194,184,185,183,181,182,180,179,177,175,164,169,172,176,179,183,184,183,198,225,175,159,187,156,140,220,132,139,197,184,186,185,185,184,182,182,179,177,166,170,175,178,181,181,190,226,169,158,204,155,112,106,108,200,136,132,198,187,188,188,186,185,185,183,182,181,168,173,176,179,184,182,205,202,190,149,199,193,190,161,108,143,132,124,200,191,191,190,188,186,186,185,184,183,170,174,177,182,186,185,204,188,159,144,158,189,204,203,129,84,104,115,201,191,191,191,189,187,186,186,186,184,171,177,180,183,188,190,199,214,178,126,88,87,119,199,162,92,64,108,202,193,194,193,192,190,189,188,187,186,173,177,183,187,189,192,195,230,189,133,97,85,76,183,200,128,63,94,202,197,196,194,194,193,192,190,187,187,174,180,185,187,192,194,198,222,187,141,106,116,132,195,224,166,95,79,197,201,198,196,196,194,193,192,189,187,177,182,186,189,193,197,200,232,198,143,127,118,165,230,217,171,124,77,193,204,198,197,197,195,194,193,191,189,178,183,188,193,196,200,202,237,202,153,135,137,196,236,196,147,110,77,196,203,201,200,198,198,196,194,194,191,179,185,189,192,198,200,203,236,211,171,154,145,216,226,176,126,83,96,209,202,202,201,200,200,199,197,195,192,181,188,192,195,199,201,203,229,212,171,163,152,224,216,163,117,75,106,215,203,205,203,201,201,201,200,195,193,183,189,193,198,200,204,204,220,213,175,175,156,216,200,148,109,68,112,217,205,207,206,203,202,201,200,198,195,183,190,195,199,202,204,205,214,218,190,189,157,208,184,130,97,61,131,221,206,207,207,206,203,202,202,199,196,184,191,196,199,203,204,209,212,218,196,191,150,192,162,113,91,59,160,221,208,208,207,206,205,204,203,201,198,185,191,197,199,203,206,210,213,226,192,162,130,175,139,117,94,72,199,216,211,211,208,207,206,206,204,201,199,186,192,197,200,205,208,210,214,230,201,160,150,173,128,134,75,127,224,212,214,214,211,209,208,207,206,203,200,187,192,197,202,206,209,208,218,237,217,187,179,156,123,122,63,184,222,212,215,214,212,210,210,208,207,205,202,186,191,195,200,205,209,204,218,221,196,194,177,144,117,95,87,211,216,213,213,212,210,210,209,208,206,205,202,186,191,196,201,205,211,200,225,213,176,175,163,126,104,71,119,222,214,214,214,213,211,210,208,207,206,205,201
1,160,160,161,161,162,162,163,161,163,162,161,162,161,161,160,158,158,159,156,154,153,152,151,150,149,147,145,143,165,164,164,165,165,165,166,166,166,166,165,165,165,164,163,164,161,148,158,158,157,156,156,152,151,150,147,146,169,168,168,168,169,169,169,170,170,169,168,169,168,167,164,157,172,110,137,173,159,159,158,156,156,152,151,150,173,172,172,172,172,173,173,172,173,172,172,173,171,170,177,117,153,117,100,146,165,163,160,158,158,156,154,153,176,174,175,175,176,177,176,176,176,176,177,176,175,175,179,102,148,112,57,85,144,170,163,162,160,159,157,154,178,178,178,178,178,178,179,179,179,178,180,180,180,182,166,93,158,92,83,110,113,177,163,165,164,162,159,158,180,181,181,181,181,181,183,183,181,180,182,176,148,182,154,98,174,94,105,121,98,179,166,167,166,165,163,159,185,184,184,185,186,185,186,185,185,184,184,178,107,161,153,114,168,82,117,130,100,181,170,171,169,167,166,163,187,187,186,187,189,186,187,186,187,186,186,173,98,164,124,133,154,78,143,137,101,182,173,173,171,170,169,166,190,189,190,189,189,189,189,188,189,188,193,160,98,169,109,150,154,93,167,124,100,185,174,175,174,172,171,168,192,192,192,192,193,193,192,193,192,191,194,149,94,180,113,152,159,92,162,122,105,188,176,177,177,175,173,170,193,193,194,194,194,195,195,194,193,194,196,129,96,186,99,138,144,76,165,131,115,191,180,179,179,177,175,172,196,195,195,195,195,195,196,196,196,195,198,128,99,173,76,134,129,76,174,122,113,194,182,181,181,179,177,175,197,197,197,197,197,199,198,198,197,199,191,114,106,156,119,151,151,106,126,108,118,196,185,184,182,180,178,177,199,200,200,200,199,199,200,199,199,199,175,143,146,121,134,136,138,134,112,95,94,190,187,187,186,183,181,179,200,201,201,201,201,201,201,201,200,197,183,155,119,104,110,131,144,121,112,129,85,166,196,187,187,184,182,180,202,202,202,202,202,202,202,202,201,201,180,130,96,104,110,145,150,126,165,164,96,135,203,187,188,186,184,182,202,202,203,203,203,203,204,205,202,196,177,126,92,114,121,153,162,174,136,164,134,110,200,190,190,188,187,184,203,204,205,205,205,205,206,206,203,189,183,141,88,103,138,160,169,184,152,147,133,83,188,194,192,190,188,186,206,205,206,207,206,207,206,208,202,185,189,153,104,92,138,164,172,170,153,134,94,65,190,196,193,191,189,187,207,207,207,207,207,208,208,209,204,180,186,157,117,92,130,180,186,182,147,118,72,99,208,194,195,194,191,189,207,208,208,208,208,209,209,210,207,177,172,156,125,103,141,193,184,171,133,103,57,161,207,194,195,194,192,189,207,208,208,208,209,209,209,210,210,185,172,157,134,116,154,188,174,152,118,80,77,205,199,198,195,195,194,191,205,207,208,207,208,208,209,209,212,192,169,165,149,119,153,177,162,131,100,53,133,213,197,198,196,195,194,192,206,207,208,208,208,209,209,209,211,199,170,169,151,126,142,153,132,105,65,62,197,201,199,197,195,193,192,189,207,207,208,208,209,210,209,208,212,198,175,170,150,130,132,136,107,76,45,163,209,199,200,198,195,194,191,189,207,207,208,209,209,209,209,210,212,186,181,170,162,145,124,117,84,46,152,217,200,202,200,200,197,197,199,189,206,207,208,209,209,209,210,212,205,172,187,175,170,142,119,94,51,88,216,203,205,202,200,199,198,183,152,99
10,131,134,137,140,140,143,145,146,148,148,149,149,150,154,158,158,155,156,157,156,157,159,158,157,155,156,157,157,136,139,142,145,146,147,149,151,151,152,153,154,156,158,159,155,158,159,160,160,160,160,161,160,158,158,158,159,142,144,148,150,153,154,155,156,157,158,158,160,161,160,188,127,130,168,162,165,165,165,164,164,162,160,160,159,147,151,155,155,157,159,160,162,162,162,165,165,165,164,203,127,104,177,166,168,168,169,168,168,166,165,164,163,152,155,160,161,163,164,164,167,167,166,170,170,168,170,208,138,96,177,170,172,174,172,170,169,170,169,168,167,158,160,164,168,169,169,170,171,175,172,172,174,173,174,212,152,98,179,176,175,175,176,174,174,175,172,170,169,163,165,170,174,172,172,174,181,171,181,183,183,180,179,217,165,101,179,183,181,180,180,179,177,177,176,174,173,167,169,174,177,176,177,179,194,124,96,168,160,178,186,219,180,100,174,189,187,186,186,184,182,180,179,180,178,171,174,178,180,183,183,187,166,84,34,70,78,118,198,217,185,96,169,195,190,191,189,188,186,185,184,184,181,175,179,181,184,187,186,190,190,105,42,64,62,74,200,233,197,95,171,200,193,195,195,193,191,189,188,187,184,176,182,186,188,190,191,191,200,175,96,145,89,55,184,201,174,92,177,203,197,198,199,198,197,195,192,191,190,182,186,191,193,193,192,199,214,174,80,201,155,77,110,101,120,85,178,208,203,203,203,201,199,199,197,195,194,186,189,193,195,199,194,194,230,185,43,153,191,114,51,55,84,75,181,211,205,206,206,205,203,201,200,197,197,188,193,197,197,210,224,204,226,199,74,69,211,155,80,59,90,66,180,213,207,210,209,208,207,205,203,203,201,192,196,199,201,207,236,200,210,205,124,26,176,200,118,67,83,63,185,218,211,212,212,210,210,209,208,206,204,193,199,202,204,203,192,167,148,249,189,43,87,216,156,88,63,62,178,223,212,213,213,213,214,212,212,207,205,197,202,204,206,209,196,163,121,202,144,31,61,177,175,129,66,55,183,227,217,217,217,216,216,214,212,211,210,201,204,206,207,212,217,161,147,131,44,57,119,156,174,133,68,49,190,228,220,220,220,220,219,216,213,212,214,203,206,209,211,213,229,202,152,123,85,170,225,181,147,118,70,56,200,227,222,221,221,221,219,218,216,215,215,205,209,211,214,215,240,206,178,177,159,237,238,189,130,106,71,81,225,223,223,225,222,222,220,219,219,218,217,209,212,212,214,217,233,221,203,194,178,244,222,177,129,97,66,106,237,223,225,225,224,224,222,221,221,221,219,209,212,214,218,218,229,223,195,192,185,236,204,163,123,92,61,115,241,226,228,228,227,226,224,223,223,222,221,212,215,217,221,220,222,225,211,212,180,213,195,151,115,85,58,123,243,227,230,230,229,228,228,227,224,222,221,213,216,217,220,222,218,216,217,210,172,207,193,142,106,84,62,138,243,229,231,231,231,229,228,228,226,224,224,213,219,219,220,223,222,217,212,193,156,189,185,141,110,88,65,174,242,230,232,231,230,230,230,229,228,227,226,214,218,219,220,223,221,229,201,166,158,185,159,155,134,85,81,223,238,235,236,235,232,233,232,231,230,229,228,215,217,219,222,224,218,237,219,195,184,179,166,176,147,68,129,245,236,238,237,238,238,236,235,234,233,231,230,212,214,219,221,221,208,235,228,209,192,167,171,165,128,60,193,244,235,237,238,237,235,237,237,235,234,231,230
1,148,151,155,157,160,161,161,163,164,164,165,165,165,167,166,165,166,166,166,167,167,167,167,166,165,166,165,164,152,154,157,160,163,164,165,166,167,168,168,171,162,154,169,169,169,169,169,168,169,170,170,169,168,167,167,166,155,158,161,164,165,167,168,169,170,171,168,177,165,115,168,174,173,173,172,172,172,173,173,173,172,171,170,169,158,161,164,167,169,171,171,172,173,186,171,145,169,102,143,153,173,177,176,176,176,176,176,176,175,175,174,173,160,164,166,170,172,174,174,177,176,193,171,126,169,103,104,116,147,181,179,178,179,179,179,178,177,178,177,175,163,166,170,173,175,176,177,179,179,195,177,127,174,124,106,128,116,182,181,181,182,182,182,180,179,179,179,178,165,169,173,175,177,180,181,183,178,186,190,129,171,144,105,138,106,168,184,185,185,184,185,184,183,182,181,181,169,172,175,178,179,182,183,190,181,138,193,136,153,152,113,152,126,149,189,187,187,187,187,187,186,185,184,182,172,175,178,181,183,186,186,197,182,117,188,144,136,159,129,165,155,129,185,189,189,190,189,188,188,187,186,184,175,178,180,183,185,188,187,198,185,120,185,153,137,177,146,148,173,126,170,194,193,192,191,190,190,189,188,186,177,179,182,184,187,189,190,201,195,128,188,178,137,180,153,130,186,147,147,196,194,195,195,194,193,191,190,189,179,181,184,186,189,191,192,203,196,130,176,187,127,153,152,118,191,167,131,191,197,197,196,196,195,194,193,192,181,184,186,189,193,194,194,203,200,144,143,179,109,135,159,114,177,171,127,177,201,199,198,198,197,197,195,194,184,186,188,192,194,195,196,205,208,154,114,177,151,155,161,166,183,147,127,152,203,200,200,200,199,198,197,195,184,187,190,193,195,197,199,205,208,149,121,165,190,164,156,195,179,136,131,119,195,203,202,201,200,199,198,197,184,188,191,194,196,199,200,205,207,174,172,143,169,168,175,204,166,135,134,108,167,206,205,203,202,201,200,200,185,189,192,194,198,201,201,207,210,190,177,139,145,182,210,203,187,159,125,108,133,206,207,206,204,203,202,202,186,190,194,196,198,201,202,213,212,175,161,141,162,201,203,173,183,197,171,127,109,199,208,207,206,205,205,204,187,191,195,198,200,202,203,216,219,170,148,155,175,166,150,127,170,217,206,167,121,179,211,209,208,208,207,205,187,191,194,197,201,201,202,214,229,184,143,142,136,132,132,172,194,206,203,167,129,143,211,210,210,208,207,206,187,191,193,195,199,201,201,208,230,203,146,148,156,175,203,222,219,204,188,154,110,136,211,210,209,209,208,207,188,191,194,196,200,201,201,206,227,222,164,156,169,182,222,230,225,203,177,145,100,142,212,209,209,209,208,207,189,192,194,197,200,201,203,205,225,234,188,165,180,176,219,237,229,203,168,136,96,154,213,211,211,210,209,208,189,192,194,197,200,201,203,204,218,234,206,177,197,170,207,237,228,196,158,125,95,167,215,212,212,210,209,209,189,193,194,197,200,202,204,206,210,226,217,193,204,175,188,232,218,185,151,117,93,175,216,213,213,211,209,208,183,188,191,194,198,201,202,205,204,216,223,208,200,180,165,219,211,179,143,111,93,185,216,214,213,212,212,211,120,124,128,134,137,140,143,147,148,179,226,215,193,173,152,190,199,166,130,105,100,180,199,207,213,216,213,210,98,97,98,100,100,101,103,104,101,136,217,204,182,164,145,164,181,153,120,102,100,120,157,204,205,204,217,209
4,219,219,220,220,220,221,221,221,221,219,220,221,220,219,220,218,216,212,214,213,212,211,208,207,205,204,204,202,222,222,224,224,224,225,224,224,224,223,223,224,226,223,221,221,221,224,219,216,214,212,212,211,209,207,206,204,228,228,228,228,227,228,227,228,228,228,227,224,221,229,228,216,179,165,216,224,223,221,214,214,214,212,210,208,231,230,230,231,231,230,229,230,229,229,227,207,171,174,226,219,176,116,149,221,171,184,222,216,216,214,212,211,234,233,232,234,234,233,232,233,233,232,238,241,205,161,145,212,203,150,95,170,160,99,168,232,215,218,216,214,235,234,236,237,237,237,235,237,235,226,220,226,237,203,137,136,211,176,98,136,176,106,93,229,219,221,219,217,238,238,238,238,239,240,239,241,228,212,208,147,177,202,117,90,206,175,98,109,178,129,76,221,224,222,220,218,241,241,241,241,241,241,241,241,233,228,216,145,113,173,105,81,178,132,68,138,186,139,94,232,228,225,224,223,242,242,243,242,243,244,243,244,222,163,203,169,104,144,151,79,132,112,50,148,147,86,118,246,227,229,228,226,245,244,245,245,246,245,244,244,241,163,142,205,148,118,190,90,100,138,132,139,90,36,150,249,229,232,230,228,246,246,245,246,247,245,244,248,225,139,102,189,154,178,188,159,163,161,201,157,75,42,204,242,233,234,231,230,247,247,248,248,247,247,246,250,225,189,184,143,73,203,188,172,186,167,182,144,86,75,240,238,237,236,234,231,248,248,248,248,249,249,249,248,242,220,166,113,65,108,154,138,142,137,129,127,113,72,201,251,237,237,236,233,249,249,250,250,250,250,248,246,243,203,145,96,82,79,105,121,121,113,100,144,135,94,98,247,240,238,238,237,251,251,251,250,251,252,250,246,232,178,128,92,88,115,123,164,178,171,143,154,156,143,70,172,255,236,239,238,253,254,254,254,254,254,251,242,233,194,146,103,105,116,151,207,206,227,207,171,210,173,97,92,252,240,241,239,255,255,254,255,255,255,253,239,234,198,149,99,99,129,178,222,223,239,245,217,194,172,93,84,250,243,243,240,255,255,255,255,255,255,255,231,231,213,160,111,109,132,182,233,235,246,232,209,180,134,65,133,255,243,243,241,255,255,255,255,255,255,255,224,230,224,171,131,122,126,196,242,248,247,220,191,165,110,54,207,255,245,245,243,255,255,255,255,255,255,255,224,221,226,185,141,125,133,206,250,248,235,207,177,153,84,85,255,248,247,246,245,255,255,255,255,255,255,255,230,202,212,186,145,126,142,219,246,232,221,193,158,133,61,157,255,245,249,247,246,255,255,255,255,255,255,255,250,198,212,195,150,141,150,226,232,218,204,173,139,103,61,233,255,251,249,247,247,255,255,255,255,255,255,255,255,215,210,202,170,167,145,220,218,213,184,151,123,63,120,255,250,252,250,247,246,255,255,255,255,255,255,255,255,237,203,203,189,168,132,194,204,200,166,125,92,52,222,255,248,248,248,246,246,255,255,255,255,255,255,255,255,248,211,199,179,159,135,166,178,162,127,94,43,144,255,250,252,250,249,248,246,255,255,255,255,255,255,255,255,251,220,203,177,154,138,150,163,132,95,59,67,250,255,255,254,251,250,248,246,255,255,255,255,255,255,255,255,236,223,205,183,164,154,146,156,136,92,41,157,255,253,255,254,250,250,248,249,255,255,255,255,255,255,255,255,216,221,210,199,194,175,157,145,125,79,55,219,255,255,255,254,253,250,250,238
8,182,183,182,183,184,182,188,154,123,186,182,182,183,181,180,178,178,177,176,174,173,172,171,170,168,167,165,164,184,184,184,183,183,184,181,129,78,184,184,184,184,184,183,181,181,179,178,178,176,175,174,172,170,169,168,166,186,185,185,186,186,188,171,100,90,196,186,186,186,185,185,184,182,183,182,180,179,177,176,174,173,171,170,169,189,188,188,189,189,184,158,69,130,201,186,188,189,189,188,186,184,185,184,183,181,180,178,177,176,174,173,171,189,190,189,190,191,185,136,54,176,194,189,189,189,190,190,187,188,188,185,184,183,182,181,179,178,176,176,173,191,191,191,192,191,185,132,64,188,194,192,195,197,192,190,189,188,189,188,186,185,184,183,183,181,179,177,175,193,192,192,192,193,183,119,70,195,195,193,168,153,198,195,193,195,190,190,187,183,187,184,184,183,181,179,177,194,194,194,195,195,176,110,63,193,198,180,145,92,126,153,113,161,199,190,192,139,166,190,185,185,183,182,180,196,196,197,196,196,179,150,77,169,199,176,166,130,66,105,98,78,159,122,140,147,110,201,186,186,185,183,182,196,197,197,197,199,183,170,102,145,197,174,183,142,81,78,105,83,141,110,79,150,108,140,203,187,186,184,183,198,198,198,198,199,189,164,128,131,162,169,187,149,87,63,82,116,146,99,61,131,142,77,143,194,188,185,184,199,201,200,199,200,193,174,165,143,142,124,169,151,99,55,55,127,133,83,46,97,160,120,69,146,199,185,184,201,202,200,201,202,193,189,159,130,120,118,134,160,103,47,50,132,118,75,28,93,174,130,56,137,202,186,185,202,203,204,202,203,195,175,131,101,84,85,101,176,138,71,57,134,102,52,12,139,176,102,60,188,192,188,187,203,204,204,203,204,192,179,151,119,78,65,48,158,190,113,62,135,90,27,57,152,152,64,122,206,189,190,189,204,205,203,204,205,186,181,166,122,70,66,60,147,177,115,70,109,96,109,117,155,107,55,184,198,193,191,190,205,204,205,205,204,181,186,167,118,83,63,80,178,131,56,86,117,129,136,97,117,64,86,210,192,195,192,190,205,205,206,206,204,185,187,159,130,91,71,94,157,146,143,167,160,136,125,76,73,32,153,207,195,195,193,191,205,206,207,207,203,186,184,167,132,86,82,136,184,185,197,181,153,132,107,63,27,107,208,197,198,196,195,193,206,204,205,206,203,178,184,175,131,91,105,171,191,191,191,167,142,118,89,29,92,210,201,200,199,197,196,194,204,204,206,207,204,180,176,171,141,101,125,179,186,200,184,153,129,105,44,74,207,202,199,198,197,196,194,192,206,206,207,207,207,186,177,169,143,102,132,173,169,176,157,134,112,61,58,197,203,198,198,198,197,196,194,191,207,207,207,208,207,186,180,172,139,113,131,169,156,152,123,105,64,43,184,209,199,201,199,199,197,197,195,191,206,206,206,208,204,187,176,162,145,130,130,163,149,132,107,60,33,170,214,202,205,203,199,198,196,195,194,196,206,205,205,207,198,184,172,166,162,141,130,152,136,108,73,34,162,215,203,206,204,202,199,199,200,202,206,180,211,214,215,217,189,180,176,176,160,140,141,150,119,78,32,145,225,204,209,207,205,210,211,202,187,169,126,71,133,139,144,146,161,189,186,178,158,142,143,133,96,50,63,193,191,194,194,196,196,171,126,89,59,45,27,27,83,85,86,79,149,196,183,166,150,145,125,111,83,41,59,92,97,101,101,102,86,54,27,27,22,20,27,20
23,206,208,209,211,212,213,215,217,217,217,218,219,219,221,221,221,222,222,221,221,221,220,220,220,218,219,219,219,208,210,212,213,214,215,219,220,219,220,220,222,223,225,226,225,222,221,222,222,222,222,222,223,222,222,222,222,209,212,214,215,216,217,220,220,221,222,222,223,226,225,223,224,233,246,252,236,217,218,227,223,223,224,224,225,210,212,215,216,216,218,220,223,223,223,223,226,225,233,240,255,255,255,252,237,226,215,204,166,217,226,226,226,213,214,216,217,217,219,221,224,224,223,226,224,235,255,255,247,243,240,200,171,176,169,151,177,229,226,228,227,213,215,216,218,220,221,221,224,225,226,228,220,250,255,249,212,211,174,165,205,197,191,210,233,228,228,229,229,215,215,218,220,221,222,225,226,227,228,229,221,255,255,241,180,155,186,224,236,236,237,234,230,229,229,230,230,215,217,220,222,223,226,227,227,228,229,229,228,255,255,244,189,195,240,238,253,240,218,234,230,231,231,231,231,217,220,221,222,225,226,227,228,231,233,227,239,255,255,255,171,208,255,255,255,254,176,238,242,234,233,234,234,217,220,222,224,226,225,227,230,233,235,225,253,255,255,255,218,255,255,255,255,224,160,164,192,237,237,235,235,219,222,223,226,226,227,230,232,234,234,228,255,255,255,255,255,255,255,255,242,233,242,176,119,209,242,234,236,221,224,226,227,228,231,233,235,236,232,236,255,255,255,255,255,255,255,255,255,255,255,210,131,171,249,235,239,222,225,228,229,230,232,234,236,235,238,255,255,255,255,255,255,255,255,255,255,241,226,185,135,132,211,243,237,224,226,227,230,231,233,235,237,232,255,255,255,255,255,255,255,255,255,254,243,230,237,204,130,124,164,250,240,226,227,229,231,233,235,236,237,233,255,255,255,255,255,254,253,255,255,254,244,239,242,214,139,117,179,252,241,227,229,230,233,234,236,237,240,237,255,255,255,255,255,255,255,255,251,243,231,228,220,185,142,123,217,251,242,228,230,231,234,235,236,240,242,236,255,255,255,255,255,255,255,237,211,210,203,191,184,178,141,150,247,246,244,229,231,234,235,237,238,240,243,237,255,255,255,255,255,255,255,224,178,150,132,146,185,177,136,188,255,245,245,231,233,236,237,239,240,242,244,238,255,255,255,255,255,255,242,216,190,143,62,127,186,173,136,221,254,248,248,233,234,236,238,241,241,243,244,243,253,255,255,255,255,255,255,255,174,100,100,156,175,150,145,245,250,248,250,234,235,238,240,241,243,244,245,245,251,255,255,255,255,255,255,237,176,108,123,157,143,128,177,255,248,250,251,234,236,239,241,242,243,245,246,246,250,255,255,255,255,255,255,224,186,137,110,125,136,131,195,255,247,251,251,235,237,239,241,244,245,246,247,248,248,255,255,255,255,255,255,227,183,150,105,128,146,133,213,255,251,252,252,236,237,240,242,244,245,247,248,249,248,255,255,255,255,255,255,228,184,160,124,137,151,138,236,255,253,254,255,236,238,241,243,244,246,248,250,250,249,255,255,255,255,255,255,230,189,162,135,147,149,154,255,252,255,255,255,237,239,241,242,245,246,249,251,251,250,255,255,255,255,255,252,222,185,161,142,148,137,191,255,253,255,255,255,239,241,242,244,246,247,250,251,253,251,255,255,255,255,255,238,212,177,162,151,144,143,248,255,255,255,255,255,240,243,243,245,248,250,252,251,255,252,255,255,255,255,242,221,193,174,166,159,134,188,255,255,255,255,255,255
10,87,96,99,103,109,116,124,128,133,137,141,144,147,150,152,155,157,158,160,160,157,163,162,163,162,161,161,160,90,98,102,106,112,119,127,132,136,140,143,147,151,151,154,159,161,162,160,170,177,144,167,166,166,164,165,163,91,100,104,106,114,121,129,134,138,142,144,150,153,154,159,161,162,163,156,195,201,114,164,168,168,168,166,166,92,101,104,108,117,124,130,135,140,144,147,151,155,157,162,164,165,167,160,203,211,115,157,173,170,170,168,168,95,103,106,110,118,127,133,137,142,145,149,153,157,161,163,167,168,170,164,197,228,131,149,178,171,173,173,172,96,105,108,112,120,128,134,138,143,148,152,155,160,163,164,167,169,172,168,191,249,159,137,183,175,176,176,175,99,107,110,115,123,130,136,142,147,151,155,160,163,164,167,169,170,174,170,190,251,180,122,184,178,179,178,178,100,108,111,117,125,132,138,144,150,154,158,162,164,167,168,170,176,177,174,186,250,192,116,183,181,180,180,180,102,110,111,118,127,134,140,146,152,153,158,164,166,165,183,183,138,180,178,185,249,198,110,178,185,182,182,182,105,113,116,119,129,137,142,147,152,163,162,159,168,170,205,202,102,130,186,188,249,206,111,171,190,185,187,186,106,113,117,122,131,138,143,150,150,199,158,99,99,110,161,203,173,133,164,197,241,201,114,156,194,187,188,187,107,114,117,124,133,140,146,152,156,174,131,84,78,87,85,176,230,177,110,199,216,193,129,139,198,188,189,190,108,116,119,126,135,142,148,153,159,164,152,130,113,106,99,113,205,187,104,144,166,170,135,128,200,192,193,192,110,118,122,128,137,145,151,156,162,166,174,169,203,196,91,71,184,220,154,82,93,123,128,106,192,195,194,194,113,119,123,130,138,146,153,158,164,169,169,181,247,194,66,50,135,243,187,105,67,93,110,90,176,201,195,195,113,120,125,131,139,147,154,160,165,172,167,220,251,184,79,79,72,235,215,150,84,77,108,89,164,205,194,196,115,121,124,132,140,149,156,161,168,174,170,215,245,222,105,41,92,224,235,179,109,70,102,90,168,209,198,200,116,123,125,134,143,150,157,162,169,174,175,184,229,242,146,86,121,223,235,175,112,80,91,86,175,210,201,202,117,123,128,135,144,152,159,164,170,174,179,177,207,212,142,127,137,234,225,191,133,90,89,82,182,210,203,205,119,125,128,137,147,153,159,166,172,176,180,184,182,203,202,156,176,247,222,202,158,106,88,80,189,210,205,206,121,127,130,138,147,154,161,167,173,177,182,188,185,225,251,213,214,251,227,193,162,120,93,77,191,210,206,207,121,125,130,138,147,154,161,167,172,178,182,188,187,214,251,232,234,250,227,193,163,129,100,79,194,212,209,209,120,125,128,137,147,153,159,165,172,176,182,186,186,201,251,247,238,246,225,193,159,137,107,81,194,211,208,208,122,127,130,140,149,156,162,168,173,178,183,187,189,198,249,251,246,247,221,193,166,145,113,76,194,212,210,210,121,126,131,140,150,156,163,169,175,180,184,188,192,192,238,251,250,245,219,202,175,142,108,79,203,212,211,212,122,127,133,141,151,157,164,170,175,181,185,189,194,191,223,251,239,235,213,214,187,138,98,89,214,209,213,214,122,127,132,141,150,156,164,171,178,182,187,191,195,200,215,245,222,220,217,216,201,139,87,91,220,217,213,215,117,124,130,138,148,154,162,171,176,181,186,189,196,158,81,198,219,230,229,214,205,134,86,36,43,172,222,213
22,54,86,102,102,106,108,110,120,133,141,146,148,151,153,156,159,162,163,164,168,168,167,169,167,167,168,167,167,53,90,102,103,106,110,111,121,133,142,147,149,151,155,158,160,163,163,168,154,163,170,170,171,169,169,168,166,56,94,102,104,107,111,112,122,135,144,148,151,152,156,160,163,163,165,180,118,144,176,165,160,172,170,169,168,59,97,103,105,107,111,113,123,135,143,149,151,155,156,162,164,163,171,181,116,150,180,152,122,173,171,171,170,63,99,103,106,109,112,114,125,136,145,148,164,166,119,162,165,163,181,181,114,157,187,143,123,177,172,172,171,67,100,103,106,109,112,115,126,138,148,149,166,156,103,157,168,164,188,176,116,166,192,138,134,181,174,173,173,72,103,104,107,110,112,116,127,139,148,152,160,162,109,149,172,166,185,164,117,175,192,132,150,181,175,175,174,77,104,105,107,111,113,117,129,139,149,154,158,165,116,136,174,169,179,151,113,181,187,122,160,181,176,176,176,81,104,105,108,111,114,118,130,141,150,155,156,167,128,123,172,172,175,142,117,194,169,113,172,181,179,179,178,85,105,105,108,112,113,118,131,143,151,156,155,167,134,105,162,175,163,135,119,200,151,120,182,180,180,181,180,89,106,106,109,112,113,119,132,143,152,157,155,168,158,113,147,172,151,122,132,199,135,129,186,180,182,182,180,94,106,106,108,111,115,119,133,143,151,156,156,168,180,124,123,158,149,137,175,186,122,142,188,181,182,183,182,99,106,106,108,111,114,120,134,144,152,157,167,147,154,114,114,145,165,189,193,167,113,158,189,182,183,183,184,101,106,107,109,111,114,120,134,144,151,162,176,145,134,117,129,150,178,195,186,155,111,172,187,185,185,185,184,103,106,107,110,112,115,122,134,143,152,160,164,177,177,145,107,127,162,179,179,153,110,179,188,186,185,186,186,105,106,107,109,113,114,122,136,145,153,160,173,186,191,143,111,110,133,152,160,141,109,180,190,187,187,187,187,106,106,107,109,112,115,122,136,146,155,157,187,175,159,150,136,114,114,120,123,130,108,172,192,189,189,188,188,106,106,108,109,113,116,122,136,147,155,158,185,173,149,162,156,135,118,113,105,116,105,164,195,189,191,189,189,108,107,107,109,112,115,123,137,146,155,157,189,185,161,153,162,155,146,126,104,105,103,162,196,190,192,191,191,107,107,106,109,111,115,124,137,147,157,157,189,190,168,155,198,164,156,130,109,108,103,164,197,191,192,192,191,107,106,106,108,112,114,124,137,149,158,159,180,201,163,170,216,168,146,126,114,113,105,169,198,192,193,192,192,107,107,107,109,111,115,125,138,148,157,159,172,196,153,179,203,169,145,127,120,113,108,178,197,194,194,194,194,108,108,107,108,111,116,126,139,148,157,160,166,184,158,175,190,173,154,129,119,115,111,179,197,194,195,195,195,108,108,108,110,112,116,127,139,149,157,161,164,175,173,176,183,168,149,128,116,115,112,178,198,196,197,197,197,107,106,107,110,112,115,127,139,149,158,161,163,170,181,169,170,161,133,122,117,114,106,176,201,197,197,197,197,108,106,106,108,112,114,127,139,149,158,161,163,170,178,161,154,157,126,122,120,113,98,167,203,197,198,197,197,107,106,106,107,110,114,126,139,149,157,160,164,171,171,148,152,171,158,141,122,114,97,146,203,195,197,197,196,106,104,105,107,109,113,125,138,149,156,160,163,169,174,174,179,179,168,156,128,110,100,118,195,195,197,197,196
24,215,218,219,219,220,221,222,222,222,223,223,225,224,225,224,223,224,224,224,223,222,221,220,219,159,84,70,62,219,220,221,222,223,224,225,226,225,225,226,227,226,226,226,226,226,226,226,226,225,224,223,224,151,71,78,79,221,222,224,225,226,227,227,228,228,228,229,229,229,229,229,228,228,229,228,229,228,227,224,230,177,80,87,96,222,224,226,226,228,229,229,230,230,231,231,232,231,232,231,232,233,232,232,231,230,229,227,228,220,103,86,89,224,226,227,229,229,230,232,232,233,233,233,233,233,234,234,234,234,234,233,232,232,232,230,226,234,157,80,77,226,228,229,231,232,232,234,234,234,234,234,235,235,235,235,235,236,237,236,235,234,234,234,231,235,207,87,69,228,230,231,232,232,234,235,235,235,236,236,236,237,237,237,237,239,239,237,237,237,234,235,235,231,238,110,60,228,231,233,232,238,237,235,236,238,239,238,238,239,239,239,239,239,241,239,239,240,237,237,236,234,241,179,158,230,232,233,237,210,233,239,239,239,239,239,240,240,240,240,241,240,241,240,240,240,240,239,238,235,242,185,204,232,233,234,240,179,190,248,237,240,240,240,240,240,241,242,241,242,242,242,240,241,241,240,239,238,242,195,228,233,234,236,237,194,145,237,240,241,241,241,241,242,242,242,242,243,243,244,247,242,243,241,241,239,240,228,204,234,235,238,240,219,143,189,252,240,242,242,242,243,246,244,244,248,251,230,223,247,242,242,242,242,241,246,200,234,237,239,240,232,188,143,234,248,242,244,246,242,234,243,249,215,247,233,162,207,252,243,242,240,231,213,200,235,239,240,240,241,222,159,164,248,245,243,247,250,205,211,255,178,175,247,172,168,254,244,242,243,217,168,147,235,238,240,239,242,234,204,169,190,250,243,248,255,235,197,222,204,158,242,190,173,253,243,246,249,189,142,160,234,237,238,238,240,240,224,198,174,207,246,246,255,255,210,177,232,166,220,204,179,255,237,255,227,144,192,249,235,237,239,239,240,241,236,214,200,216,221,231,224,255,231,164,206,187,208,222,162,211,221,248,182,158,248,239,235,237,240,241,241,242,243,239,240,237,209,199,187,225,243,176,154,195,204,235,152,155,228,218,154,220,247,239,234,237,239,239,240,241,243,245,255,226,199,180,157,167,234,188,130,208,195,248,173,183,225,176,171,251,241,241,240,244,246,246,248,248,250,249,255,254,226,183,164,173,200,206,139,205,206,174,195,215,208,145,198,251,241,242,187,192,194,198,203,207,211,214,217,255,255,236,181,165,191,210,166,174,227,171,252,213,186,153,246,255,249,244,132,133,133,136,136,134,137,139,128,237,255,255,240,175,179,222,213,194,230,247,236,187,172,147,176,173,184,209,143,142,143,144,143,142,143,146,131,196,255,251,255,214,178,190,255,255,255,255,210,178,155,142,166,200,225,246,143,140,141,140,141,143,142,144,141,152,252,249,255,243,199,179,211,255,255,231,201,161,151,240,255,254,250,255,141,140,140,139,140,142,142,143,146,137,190,255,255,252,211,188,190,248,246,215,193,142,179,234,227,245,242,241,139,141,142,140,140,141,141,143,144,143,141,245,250,228,193,176,184,215,223,197,163,138,227,226,199,216,231,232,138,138,140,141,142,142,140,141,142,145,132,211,243,199,193,187,187,202,209,183,142,151,220,240,188,177,207,228,139,139,139,139,141,145,140,139,141,144,134,187,250,222,222,208,198,203,206,173,132,160,214,234,201,165,200,217
0,148,149,149,148,148,148,148,148,148,147,145,145,145,145,143,143,143,142,141,140,138,138,137,136,135,134,132,131,149,150,149,150,150,149,148,149,149,148,147,146,147,145,145,143,143,143,142,141,139,139,138,136,134,134,133,133,150,150,150,150,150,149,150,150,149,149,148,148,149,147,146,144,145,141,141,142,140,141,139,137,135,135,134,134,152,151,151,151,150,150,152,151,150,150,149,147,140,149,149,147,147,150,143,143,142,139,139,138,137,136,135,134,152,152,154,153,152,151,151,152,150,154,150,128,94,95,142,119,97,106,149,140,138,145,139,141,140,136,135,134,153,153,153,154,153,152,153,140,111,116,142,119,96,61,84,108,81,50,91,101,77,92,143,123,126,139,135,135,155,154,153,154,152,152,152,136,113,84,100,137,96,68,73,122,91,62,48,97,71,34,89,107,85,144,135,135,155,155,154,153,153,154,152,153,128,107,71,123,103,74,69,121,97,63,59,108,86,44,40,103,73,141,137,136,156,156,154,154,153,158,150,137,135,109,58,110,110,74,67,119,95,63,41,94,78,44,30,94,63,125,142,138,157,156,156,156,155,159,140,100,132,88,51,111,98,62,59,107,82,53,29,82,68,35,31,96,65,81,147,137,157,157,156,157,157,153,120,84,128,78,51,106,78,46,52,97,72,42,40,103,82,29,28,100,90,53,114,143,157,156,157,156,159,154,138,111,125,93,65,100,87,49,54,105,80,32,82,126,82,19,44,103,93,54,70,150,157,158,158,158,160,145,123,104,104,92,64,107,102,49,73,120,90,42,73,112,46,18,91,111,91,40,83,149,158,159,160,161,156,126,100,81,68,53,46,109,94,44,63,120,89,36,0,15,2,62,116,111,73,37,131,143,160,160,160,159,154,134,108,83,58,51,47,59,69,42,25,53,53,52,75,41,52,114,112,97,41,80,152,139,161,160,160,157,149,132,110,83,62,59,66,61,66,71,63,67,100,123,119,113,90,101,100,68,34,133,145,140,161,161,162,160,151,135,114,91,66,57,64,74,92,105,113,126,129,119,106,106,83,80,86,37,68,153,141,142,160,161,161,159,153,135,116,97,77,67,66,78,112,125,134,131,125,114,104,100,76,62,65,21,118,151,143,143,161,162,161,158,155,139,121,104,84,82,74,108,138,136,136,131,122,108,99,94,65,51,24,64,154,144,145,144,161,162,161,159,157,143,126,111,99,94,103,133,141,138,136,129,117,105,92,78,54,21,45,144,149,146,146,145,162,163,162,160,157,145,130,118,108,102,124,135,140,142,135,117,109,98,82,67,27,34,143,151,147,148,147,145,162,163,163,158,155,149,136,122,110,104,132,137,141,139,125,108,97,87,71,38,24,134,154,146,148,149,147,145,162,163,164,157,153,148,138,127,113,105,129,139,131,126,111,97,83,73,45,17,122,158,149,150,148,149,147,145,163,165,165,160,154,151,141,135,122,110,124,132,121,113,99,83,70,45,13,111,161,150,153,151,149,148,146,145,164,164,166,162,157,148,140,136,128,116,121,125,112,98,88,72,42,14,108,163,151,154,151,150,150,148,147,146,164,164,165,161,154,146,149,149,138,124,118,116,99,86,77,49,16,112,165,154,156,154,151,150,150,149,148,147,164,164,164,159,158,145,149,149,132,122,113,107,88,69,59,21,109,168,155,156,156,155,153,152,151,149,148,147,164,165,162,155,151,128,145,136,125,118,108,92,78,63,32,60,168,156,157,156,156,155,153,153,151,150,149,147
12,138,140,142,145,146,147,149,151,153,154,155,155,156,156,157,158,158,157,158,158,158,160,159,159,159,160,160,160,140,141,143,146,147,149,151,153,154,155,156,157,158,158,159,159,159,159,160,159,159,161,159,159,160,162,162,162,141,143,146,147,149,151,152,154,156,157,157,159,160,159,159,160,161,161,161,160,161,162,160,161,163,163,162,163,142,145,146,148,151,152,154,156,157,159,159,158,163,165,164,161,163,163,166,167,162,163,163,164,165,165,164,164,144,146,147,150,152,153,156,157,159,160,160,161,158,145,151,165,165,154,135,146,167,163,166,165,165,165,165,165,145,147,149,151,153,154,157,159,160,161,160,173,164,140,113,151,178,159,131,90,162,168,165,172,167,166,166,166,146,148,151,153,155,156,158,160,161,162,161,191,183,162,129,108,181,159,138,104,116,130,125,133,171,167,168,168,147,150,151,153,156,158,159,161,162,163,166,190,193,170,140,103,178,169,140,119,67,115,124,86,134,176,168,170,149,151,152,155,157,159,160,163,165,164,172,182,195,184,153,115,168,178,139,106,67,135,132,84,89,178,168,171,151,152,154,157,158,159,162,163,165,163,173,143,127,176,160,110,149,168,126,92,70,141,133,82,80,174,172,172,152,153,156,157,159,162,163,165,163,180,176,126,89,123,148,97,137,149,121,98,69,132,130,90,78,174,173,173,153,155,156,158,160,163,165,164,179,184,170,131,109,90,133,92,125,148,116,92,70,136,126,92,82,176,173,174,154,155,158,159,161,163,165,171,179,159,174,146,120,80,101,93,111,145,120,86,79,150,140,96,87,182,175,175,154,156,159,160,162,164,164,177,165,132,166,145,115,81,77,115,107,159,142,94,102,190,164,98,116,186,174,176,154,157,158,162,164,165,167,179,170,137,140,143,118,80,64,118,97,140,135,87,83,162,132,70,105,186,176,176,156,157,159,162,164,165,170,175,160,129,127,151,107,84,44,67,53,61,127,95,112,137,97,90,74,137,185,174,156,158,160,163,166,166,172,182,162,135,120,145,98,84,50,43,43,109,167,165,159,150,127,105,81,99,186,175,157,159,161,164,166,167,176,181,160,134,105,132,98,91,50,54,98,166,169,163,150,139,117,96,77,115,187,176,157,159,161,163,166,165,176,181,162,145,115,105,108,102,58,81,156,176,178,167,143,130,112,92,73,143,188,178,158,160,162,164,167,166,177,181,166,152,140,114,99,92,98,132,183,178,186,162,135,124,106,88,76,164,186,180,159,161,163,165,168,168,177,182,173,157,147,143,122,112,132,143,183,184,184,154,126,116,98,80,100,182,181,181,160,161,163,165,168,169,175,181,174,162,152,150,142,122,125,136,185,185,169,146,122,107,94,73,138,189,180,181,160,162,164,166,168,169,172,175,171,166,157,150,142,127,117,142,186,180,155,137,117,100,88,77,168,185,181,182,160,163,166,168,169,171,172,170,169,167,156,151,141,128,114,143,172,169,140,125,108,93,79,96,186,181,182,183,160,162,165,167,169,170,173,172,172,171,157,151,143,129,111,141,160,149,128,113,100,91,72,137,192,181,184,184,161,163,165,166,168,169,171,172,175,168,154,146,137,122,107,139,146,126,116,101,93,82,90,179,184,184,184,184,161,163,164,167,168,170,171,170,176,161,143,136,122,107,110,134,135,116,110,95,89,77,142,186,181,182,183,184,161,163,164,167,169,170,169,169,180,158,145,136,113,109,116,133,130,114,104,93,81,108,185,180,181,182,184,184
11,174,176,177,179,181,181,182,182,182,182,180,180,178,178,178,177,175,174,172,172,171,169,167,166,165,164,163,160,176,178,179,181,182,183,183,183,183,183,182,181,180,180,180,179,178,176,175,174,172,171,170,168,166,165,163,161,176,179,182,182,184,185,185,185,185,185,184,182,181,181,170,175,180,178,177,176,173,172,171,170,168,166,165,164,179,181,183,185,186,186,186,186,187,187,186,185,184,190,147,137,181,180,179,179,176,174,174,172,170,168,166,165,180,182,185,187,188,188,187,187,188,188,188,187,187,194,147,113,179,181,180,180,179,177,176,174,172,169,167,166,182,184,186,188,188,189,189,190,190,190,189,188,188,193,147,114,177,183,181,181,180,179,177,175,174,172,170,168,184,186,188,188,190,192,192,192,191,191,190,189,190,204,158,118,175,185,182,182,181,180,179,176,175,172,171,169,185,188,189,191,192,193,193,193,193,192,192,192,193,210,164,116,172,187,184,183,182,181,180,177,176,173,172,171,187,189,190,193,194,194,194,195,194,194,194,193,197,205,154,111,172,188,185,185,184,182,181,178,177,176,174,172,188,190,192,194,194,195,195,196,196,195,194,193,202,198,152,108,176,189,186,186,185,184,183,181,178,177,174,173,189,192,194,195,196,197,197,198,199,194,171,162,200,193,152,114,181,189,188,188,187,186,184,182,180,177,174,173,192,194,195,196,197,199,197,181,173,183,151,112,159,167,132,115,188,191,189,188,188,187,185,183,181,179,176,174,193,195,197,197,187,176,193,157,113,135,157,114,92,106,94,122,195,194,191,189,188,188,186,184,182,180,178,175,194,196,199,204,178,122,153,160,108,120,157,112,74,81,80,146,197,194,193,191,190,189,187,185,183,181,180,178,196,197,205,212,188,131,124,165,112,115,144,103,72,77,78,154,198,195,194,190,187,180,172,175,182,183,180,178,197,199,217,219,192,137,101,145,104,104,133,96,69,69,72,154,200,196,194,184,178,160,141,133,138,174,181,178,198,205,219,205,184,137,84,117,97,113,143,108,67,67,75,158,198,196,200,182,152,128,112,105,92,147,184,180,198,207,227,206,181,131,83,129,106,129,182,128,75,78,87,145,191,195,178,129,90,98,124,138,133,167,185,182,200,210,231,213,171,121,98,162,141,133,203,129,79,99,122,153,183,175,128,85,115,177,191,191,189,187,184,181,200,212,230,207,168,156,122,181,182,102,138,116,109,135,133,147,151,122,87,129,191,196,194,191,189,187,185,182,200,211,227,207,182,163,124,158,151,103,149,169,157,145,123,122,106,82,128,195,199,197,195,192,190,188,186,184,202,209,223,212,193,171,169,180,186,172,169,164,150,137,115,94,80,112,191,201,199,197,195,193,191,189,188,186,203,207,218,210,192,169,160,171,185,176,165,154,137,127,101,78,122,189,203,201,199,198,195,194,192,191,188,187,203,208,215,205,181,151,144,160,167,160,153,137,125,111,85,136,199,205,203,202,200,198,195,194,193,192,189,187,101,149,199,190,164,141,154,161,158,147,135,120,101,93,148,203,206,204,202,201,201,198,196,194,193,191,188,187,55,75,162,184,181,176,166,155,148,127,101,79,117,177,206,207,205,203,202,201,200,198,197,194,192,189,187,186,65,64,84,139,170,169,154,141,129,102,71,109,202,211,208,207,206,205,203,202,200,199,197,195,194,191,188,187,60,61,59,71,106,124,129,121,102,76,64,171,213,210,209,208,207,206,204,202,200,200,197,196,194,191,189,180
12,150,153,156,159,161,164,166,168,171,173,176,178,182,184,183,182,184,186,186,187,188,188,186,187,187,189,190,189,151,154,158,161,163,166,168,170,172,175,178,180,182,184,184,186,186,186,181,177,186,190,190,190,190,190,190,190,153,157,160,162,165,167,170,172,174,176,181,183,183,169,152,168,190,191,167,135,144,193,192,192,194,192,193,191,154,158,161,163,166,169,171,173,177,179,180,188,201,174,149,129,189,200,172,142,103,174,170,164,173,193,194,194,156,159,162,165,166,170,172,175,178,180,181,198,217,193,168,124,166,205,171,152,110,110,145,140,118,164,197,195,157,160,164,166,168,171,174,178,179,181,183,203,222,205,172,132,161,210,173,153,106,89,155,141,108,102,193,196,159,161,165,168,170,173,176,179,180,182,185,203,219,216,181,147,160,215,178,148,94,101,166,139,95,77,178,199,160,163,166,169,172,175,177,180,184,184,186,188,180,206,191,153,148,206,168,131,80,111,169,135,91,72,167,203,162,165,167,170,173,176,179,181,183,187,195,166,126,146,181,136,130,183,145,120,80,104,158,133,94,71,163,205,162,165,169,172,174,177,180,182,185,203,199,151,121,102,148,121,112,166,138,119,83,99,151,131,97,69,163,207,164,166,169,173,174,178,181,182,198,200,189,160,134,97,111,115,96,155,136,107,80,101,156,137,99,71,177,204,164,168,170,173,175,179,182,185,198,171,183,171,137,103,79,110,107,142,156,119,90,125,192,159,106,81,193,203,165,169,172,174,177,180,183,191,199,166,165,165,134,105,67,106,120,135,170,132,94,141,196,163,90,76,184,204,166,170,173,175,178,181,183,194,196,170,145,156,138,103,61,75,101,85,132,128,80,122,153,109,83,83,120,203,167,171,172,175,179,182,183,198,196,170,138,156,133,95,69,40,45,38,112,159,151,165,156,125,108,96,94,191,168,171,173,177,180,183,184,200,199,169,141,143,126,92,76,40,49,87,171,194,189,178,161,131,108,92,100,196,169,172,175,178,181,183,186,202,199,170,140,124,124,100,86,52,75,147,195,199,191,171,152,124,101,85,113,206,170,173,176,179,182,185,187,203,199,178,155,127,112,112,93,79,123,190,203,207,187,162,142,118,96,82,129,211,170,173,176,180,183,185,187,203,198,184,168,151,127,113,113,133,166,207,210,210,178,152,133,110,91,86,168,211,171,174,177,181,184,186,187,201,202,190,174,164,154,137,137,155,171,209,211,200,165,140,125,104,86,111,202,210,171,174,177,180,183,186,188,197,200,193,179,171,167,153,140,149,168,211,207,184,156,132,116,97,82,144,211,210,170,173,176,178,182,187,189,193,194,192,184,176,169,158,143,139,172,210,199,170,148,124,105,92,83,173,213,210,171,172,176,179,183,187,189,190,188,190,186,178,172,159,142,132,169,197,184,153,133,113,96,86,98,198,211,210,171,173,177,180,184,187,189,190,191,192,188,179,171,158,142,128,163,180,163,137,120,102,90,81,140,209,210,211,171,174,177,181,185,187,189,191,192,194,184,173,165,149,133,122,155,161,140,124,107,92,85,96,188,211,210,211,171,174,177,180,184,187,189,191,190,192,175,157,149,132,115,121,147,147,126,115,99,90,86,148,209,211,210,211,171,174,178,180,184,187,189,189,189,195,170,152,140,118,115,123,144,141,123,109,96,86,104,194,211,210,211,211,171,174,178,182,185,187,191,187,194,199,171,159,142,124,126,132,147,137,121,100,88,81,146,208,211,212,212,212
18,166,168,169,171,173,175,175,175,177,177,178,178,178,176,176,176,175,175,174,173,174,173,172,172,170,170,169,168,168,170,171,173,174,176,177,177,179,179,179,180,180,179,178,178,177,176,175,176,177,175,174,173,173,172,171,171,172,172,174,175,177,178,179,179,179,180,180,181,180,180,180,179,179,179,178,177,177,176,176,175,175,174,173,172,172,174,176,178,179,179,181,180,181,181,181,181,181,181,181,181,181,181,180,179,178,178,179,176,176,174,174,173,173,174,177,178,180,181,181,181,181,182,182,183,183,183,183,183,182,182,182,180,180,176,171,178,177,177,176,175,174,175,178,180,181,181,183,183,183,184,184,184,185,185,185,184,184,182,182,181,196,163,132,179,179,178,177,176,177,179,180,181,181,182,185,185,185,186,186,186,186,186,186,184,184,184,181,184,211,162,99,166,181,180,179,178,178,180,181,182,183,185,187,188,187,188,187,188,188,187,190,174,149,161,155,155,210,179,105,129,182,181,180,180,179,180,182,184,185,187,188,189,189,190,189,189,189,190,198,184,145,122,127,148,209,192,128,89,154,183,181,181,180,182,184,186,187,188,189,190,191,192,192,192,193,178,148,161,168,133,104,126,185,188,145,109,105,160,184,182,181,183,185,187,188,189,190,192,193,192,194,202,199,175,136,100,146,141,102,84,116,163,156,127,102,103,181,184,182,185,186,188,189,191,192,193,194,193,209,216,214,182,149,107,105,136,97,66,66,126,170,136,110,84,174,187,184,186,187,189,191,192,193,194,194,200,216,202,218,186,156,114,77,96,82,60,54,138,180,155,117,88,175,187,186,187,189,191,193,194,194,196,196,217,215,184,200,175,158,113,73,74,72,58,52,123,179,166,120,85,172,188,187,188,190,192,194,194,196,196,210,217,201,181,187,147,125,95,72,85,67,51,56,124,173,168,123,85,173,190,188,190,192,193,194,196,195,201,225,209,176,152,166,113,94,79,81,102,75,87,107,138,171,157,115,82,172,192,189,191,192,193,195,197,197,205,232,219,190,148,129,117,104,52,86,120,143,164,166,141,142,135,111,78,163,192,190,192,193,196,198,199,199,212,233,222,200,156,119,122,96,43,132,189,194,178,161,144,111,117,109,77,155,194,191,193,194,197,199,201,200,222,233,219,185,152,134,120,94,112,203,208,195,172,144,136,111,102,101,76,164,197,193,195,196,198,200,201,203,226,230,210,174,159,133,107,116,188,210,202,186,166,141,127,113,91,83,96,187,195,193,194,196,198,200,201,207,228,229,206,175,165,134,116,164,210,206,193,180,162,136,120,108,86,72,147,197,195,194,195,196,199,200,202,209,228,226,206,182,177,136,148,179,205,200,184,174,156,125,112,97,77,85,186,198,197,195,196,197,200,201,202,210,225,221,206,193,174,139,140,178,187,189,174,164,142,116,101,87,67,132,200,199,199,195,196,198,200,202,202,209,224,220,209,196,159,128,130,165,174,173,165,152,130,108,90,73,83,183,201,200,200,196,197,199,201,202,203,212,220,217,210,183,140,115,137,154,167,164,153,139,115,94,76,64,146,202,201,202,201,197,198,200,200,203,204,216,215,206,196,168,139,131,146,154,162,158,141,125,103,81,63,116,196,202,201,202,201,198,199,201,201,203,205,223,223,220,206,192,173,155,142,152,160,148,125,107,90,67,99,190,203,203,202,202,201,196,200,196,190,203,209,229,224,222,210,192,173,155,134,143,154,135,112,97,76,78,174,206,205,203,203,203,203
1,146,148,151,153,156,156,157,158,159,159,160,159,161,163,160,160,161,160,161,161,161,161,161,160,160,160,159,158,149,151,154,156,159,159,160,161,161,162,162,166,156,152,165,162,163,163,163,162,163,163,163,163,162,162,161,161,151,155,157,159,160,161,162,163,164,165,160,175,163,109,169,170,166,166,165,165,166,166,166,166,166,164,164,163,154,156,159,161,163,164,165,166,164,180,164,138,173,99,144,151,170,169,169,169,169,169,169,169,168,168,167,166,156,159,160,164,166,167,167,170,166,187,166,120,173,101,109,115,144,177,170,171,171,171,172,170,169,170,170,168,158,160,164,166,168,169,170,172,169,188,171,122,176,123,113,133,112,181,171,172,173,173,174,172,171,171,171,170,159,163,167,168,169,172,173,176,167,180,188,121,171,146,106,144,102,166,177,175,176,175,175,175,174,174,173,173,163,165,168,170,171,174,173,182,175,128,193,129,150,155,110,155,123,145,184,176,178,178,178,178,177,176,176,174,166,168,170,173,175,177,174,188,178,108,188,139,132,162,122,166,155,123,182,178,179,180,179,179,178,177,177,175,168,170,172,174,176,179,176,188,181,113,183,147,133,178,140,144,175,118,165,187,182,182,181,180,180,179,178,177,169,171,173,175,177,180,178,190,191,120,183,176,131,181,150,126,187,140,141,191,182,184,184,183,182,181,180,179,171,173,175,176,179,181,180,192,191,119,172,187,122,151,153,114,190,162,125,186,186,185,185,184,184,183,182,182,173,175,177,179,182,184,181,191,193,137,140,182,99,133,164,103,172,173,121,171,192,186,187,186,186,186,184,183,175,177,178,182,183,184,184,192,199,152,109,177,147,152,157,162,179,146,123,149,197,186,188,188,187,187,185,184,175,178,180,183,184,186,186,192,200,140,116,161,191,158,145,192,174,134,134,114,191,190,190,189,188,187,187,185,175,178,180,183,185,188,187,193,196,163,174,136,167,160,163,198,155,132,141,107,163,198,191,190,189,189,188,188,176,179,181,183,186,189,188,194,198,181,174,135,137,174,201,194,180,154,123,108,130,200,192,193,191,190,189,189,176,180,183,185,186,189,188,199,200,165,158,137,156,196,198,164,174,192,167,124,104,195,195,193,193,192,192,191,177,180,184,187,188,190,188,201,207,160,142,154,175,160,147,115,160,210,196,167,116,175,200,194,194,194,193,191,177,180,184,185,189,189,189,199,218,174,139,141,130,128,123,168,184,192,193,163,128,136,204,195,196,195,194,192,177,180,182,184,188,189,188,192,216,193,138,147,153,169,197,212,205,191,180,152,108,133,204,194,195,195,194,193,177,181,183,184,188,189,188,192,211,210,154,153,164,172,210,211,208,191,169,147,99,139,205,193,195,195,195,193,179,182,183,186,188,189,190,190,208,222,176,157,174,163,206,219,212,191,162,140,96,151,205,195,197,196,195,194,179,181,183,185,187,189,190,190,202,219,193,165,191,157,195,221,212,185,154,130,95,163,205,196,198,196,195,195,179,182,183,185,187,189,191,191,193,210,203,179,197,163,176,219,202,175,149,123,93,170,205,196,198,197,195,194,179,184,187,189,192,194,195,198,196,203,207,195,188,173,153,210,198,172,142,117,93,182,207,199,198,197,197,197,121,124,128,133,136,138,141,145,142,170,214,202,181,168,144,181,191,160,131,111,102,181,189,192,199,203,198,195,104,102,103,104,104,105,106,108,100,129,209,189,172,159,139,157,176,149,122,108,107,117,149,195,191,188,203,194
19,153,157,160,163,166,168,170,171,172,173,173,173,174,173,173,173,174,173,172,172,171,171,170,167,174,178,153,193,156,160,164,166,168,171,173,174,176,176,176,176,176,178,176,176,176,175,175,175,174,174,173,169,183,147,145,196,160,163,167,170,172,174,176,178,179,180,180,180,181,176,182,180,179,178,178,178,178,177,176,175,175,179,190,194,163,167,169,173,175,178,180,181,181,183,182,192,189,142,144,186,182,181,181,181,180,179,178,178,175,182,177,155,166,170,173,176,179,181,183,184,185,187,183,204,187,137,107,176,188,184,184,183,183,183,181,180,179,179,167,158,170,174,177,179,183,186,187,187,189,191,188,206,187,148,103,153,196,186,186,185,186,185,184,183,182,181,178,180,172,176,180,182,186,188,189,190,191,193,190,208,193,157,107,132,200,188,189,189,188,188,186,185,184,183,180,183,175,178,182,186,189,190,192,194,195,197,194,209,191,150,99,110,203,196,195,193,192,192,190,188,186,186,183,186,178,181,185,189,190,193,195,196,198,201,198,210,186,150,126,143,176,172,182,185,186,187,191,195,193,191,187,188,179,184,187,190,192,196,199,202,201,199,195,201,192,186,190,192,165,140,158,170,158,150,156,157,173,182,188,192,181,185,189,192,195,198,193,177,179,192,194,200,197,199,196,181,166,152,162,177,165,161,159,145,171,171,157,191,183,187,191,194,195,210,194,174,181,185,185,186,184,179,174,164,152,127,127,144,151,154,155,145,152,160,135,178,184,188,192,196,198,217,195,184,179,168,170,175,172,169,170,167,158,115,147,159,158,153,146,143,146,164,89,161,187,190,194,196,203,196,157,148,157,166,180,181,174,174,172,171,166,131,181,220,210,207,204,200,209,177,74,117,188,191,196,197,213,181,157,153,155,164,168,165,169,171,169,168,154,114,172,214,205,206,205,204,213,119,84,82,189,192,196,200,206,168,168,169,166,156,133,140,156,147,136,142,127,107,200,209,210,216,215,209,173,91,87,87,190,193,197,201,207,198,182,161,153,159,163,160,157,152,146,142,131,122,215,220,204,175,138,102,84,85,87,88,190,194,199,201,211,220,197,160,139,155,163,162,161,160,153,145,143,121,167,147,85,73,79,74,75,82,83,85,191,195,198,202,212,220,198,162,150,145,136,138,144,143,136,130,126,114,75,60,71,65,70,68,81,79,78,82,192,197,198,204,211,210,206,169,154,138,122,125,137,138,130,124,113,95,76,74,76,71,65,62,73,75,72,78,192,197,199,208,214,216,216,182,151,130,145,152,150,145,136,130,112,68,66,79,70,69,69,69,63,67,68,73,192,197,198,207,216,216,219,190,149,127,138,144,141,133,121,116,109,67,57,71,73,70,61,63,69,68,67,68,192,197,197,203,217,213,203,170,146,138,138,144,143,128,117,121,103,69,61,62,70,72,64,53,62,64,73,73,192,197,198,203,214,207,194,166,148,145,138,140,126,110,119,122,66,63,68,60,61,72,71,57,55,58,68,71,191,196,196,202,209,205,186,163,144,146,141,126,100,92,102,91,50,53,63,60,60,63,73,65,52,57,55,53,194,199,197,201,204,199,168,145,148,170,142,99,92,67,36,61,67,50,55,61,60,61,64,71,56,54,56,52,185,189,189,204,200,189,166,150,163,165,132,96,90,59,31,45,68,63,53,60,56,57,59,63,64,49,53,52,128,124,174,209,198,189,172,167,173,156,126,102,79,71,37,36,56,68,60,57,55,50,56,56,63,54,47,52
3,72,65,17,50,75,89,99,111,118,123,128,132,135,138,140,143,145,147,149,151,153,155,156,158,160,160,160,161,77,61,20,55,80,92,103,113,120,126,131,134,137,138,141,144,147,148,146,153,155,157,158,159,160,162,163,163,81,56,23,59,82,94,105,115,121,127,132,135,137,140,143,146,148,155,114,148,156,158,160,161,161,163,164,164,82,47,27,62,84,95,106,116,123,128,133,136,138,140,144,148,151,165,109,135,157,159,161,162,163,164,165,165,84,38,34,64,85,97,107,118,124,130,133,137,139,143,146,149,153,164,106,133,158,161,162,164,164,165,166,166,84,30,40,68,87,98,109,119,125,131,135,138,141,144,147,150,158,166,107,138,159,161,163,164,165,166,167,167,84,24,44,71,89,99,111,121,127,133,137,141,144,146,146,147,164,154,104,140,162,164,165,166,167,168,169,168,81,21,50,74,91,101,113,123,129,134,138,141,142,168,156,130,156,131,98,143,164,166,167,167,168,169,169,170,76,21,54,78,93,104,115,123,130,135,151,157,136,145,173,140,114,124,93,152,165,167,168,169,169,171,172,172,68,23,58,80,93,105,116,125,131,136,162,185,163,125,143,146,116,136,97,159,166,168,169,170,171,172,173,173,59,26,61,83,95,107,119,126,135,170,157,132,153,132,114,164,143,129,94,154,167,168,170,172,173,174,174,175,49,31,64,85,98,108,120,127,142,182,165,129,111,138,106,113,115,133,101,116,165,170,172,173,174,174,175,176,39,36,67,86,100,110,121,127,150,157,123,140,129,126,126,81,95,149,139,109,139,171,173,174,175,176,177,176,29,42,70,89,100,111,122,127,157,148,97,105,102,99,106,100,99,138,153,113,135,173,175,176,176,177,178,177,21,47,72,89,102,112,123,127,162,152,129,106,83,96,108,118,108,144,156,107,150,175,176,177,177,178,178,179,17,51,75,90,101,113,122,127,172,160,128,99,86,104,125,127,121,163,162,106,162,175,176,178,179,179,179,180,16,55,77,92,103,113,123,129,171,153,114,94,97,114,137,142,158,178,154,102,166,175,177,178,179,180,180,181,19,58,78,93,104,114,124,129,169,160,127,104,99,120,147,166,184,169,140,100,168,176,179,179,180,181,181,181,22,60,81,95,105,115,124,129,168,165,135,111,106,121,158,188,186,155,120,105,175,178,180,180,180,180,181,182,27,63,82,95,105,116,125,130,165,172,148,117,113,127,173,188,180,151,105,112,177,178,180,180,180,181,181,181,31,64,83,95,105,117,124,131,157,171,151,127,121,133,180,186,171,145,98,125,178,179,180,181,181,181,182,182,35,67,84,95,105,116,124,132,146,164,156,142,134,138,174,176,159,136,92,146,178,179,180,181,181,182,182,182,39,69,85,96,106,117,124,131,139,160,161,150,144,134,158,160,146,121,93,166,178,179,181,181,182,183,182,182,44,70,86,96,106,117,124,131,138,165,165,153,140,126,140,146,136,117,108,176,179,180,181,182,182,183,183,182,47,71,86,96,106,117,125,132,138,176,170,152,135,124,134,133,134,104,143,177,178,180,181,182,183,183,183,183,51,72,86,96,107,117,125,132,140,184,172,154,138,130,140,130,122,98,167,177,179,180,181,182,182,183,183,183,54,74,87,97,106,118,124,132,142,185,180,165,138,141,146,121,103,108,173,177,179,180,182,182,183,184,184,184,58,75,88,98,107,117,124,132,142,186,187,168,139,146,141,114,91,122,174,178,179,180,182,182,183,185,186,185
14,124,128,133,136,139,141,142,145,147,147,148,149,150,150,150,151,151,151,151,150,149,149,148,148,148,146,145,144,125,131,134,138,141,143,145,147,149,150,150,152,152,154,154,154,153,155,153,153,153,151,150,149,149,148,148,147,127,132,136,140,143,146,148,149,151,152,154,154,155,156,156,157,155,156,159,157,156,154,153,152,151,151,150,149,129,132,137,141,145,148,149,152,154,154,155,157,158,158,158,161,156,157,147,153,157,159,156,154,155,154,151,151,131,135,140,142,146,149,151,153,155,156,158,160,162,160,160,160,178,165,137,141,140,136,161,158,155,157,156,154,132,137,142,146,148,150,152,155,156,156,160,163,163,162,162,183,179,166,150,138,129,111,109,154,161,157,157,156,134,139,144,148,149,151,153,157,159,160,162,163,164,164,182,184,184,158,149,168,138,105,65,89,167,159,159,158,135,142,145,148,151,155,157,158,162,162,163,165,164,173,185,175,169,101,56,134,108,143,65,25,107,172,159,161,137,142,145,150,154,157,158,160,162,164,166,167,175,190,177,108,74,65,34,30,66,172,109,42,72,169,162,162,141,145,148,153,156,157,160,162,163,167,167,178,199,196,161,112,62,24,22,21,14,131,140,74,48,159,167,164,140,146,150,155,156,159,162,164,167,168,169,197,195,159,117,93,70,36,17,21,35,128,112,85,50,130,175,164,140,146,152,156,157,162,164,165,169,163,190,203,183,147,80,44,45,32,20,45,148,180,159,135,63,105,179,164,141,147,153,157,160,162,164,169,163,180,214,191,176,143,85,46,23,19,34,170,182,163,158,112,43,126,180,168,144,148,153,158,160,163,166,166,171,212,200,186,171,119,84,54,15,11,141,191,174,164,145,111,35,87,186,168,146,150,155,160,162,164,169,166,206,216,196,186,158,126,91,36,5,22,79,135,195,149,125,99,52,40,158,177,146,152,157,160,164,169,167,184,222,211,195,176,154,114,73,28,25,40,34,50,154,116,125,97,74,38,139,184,147,154,158,162,166,170,166,211,219,205,187,172,146,89,54,26,57,69,70,67,58,102,127,103,49,80,179,176,149,155,159,164,165,165,185,222,207,197,178,158,122,83,51,49,77,82,83,90,72,99,114,76,56,170,181,177,149,155,161,163,176,171,213,214,200,185,165,152,111,85,58,66,83,87,85,82,83,88,89,51,151,188,177,179,150,155,162,166,105,166,232,207,190,176,161,137,120,85,60,73,88,84,75,73,87,54,38,143,191,180,182,180,151,156,170,123,41,63,163,201,168,149,135,124,99,60,60,64,77,79,68,68,49,39,130,194,181,184,183,183,151,160,152,59,57,48,45,103,145,134,97,66,35,37,49,49,61,65,50,49,110,173,194,184,186,185,183,184,152,164,91,55,47,46,43,40,51,57,46,30,22,27,30,30,31,31,60,153,202,194,189,189,186,186,185,185,161,124,52,55,41,41,40,46,29,0,4,6,2,1,3,0,62,130,182,199,189,190,191,189,189,188,186,186,150,74,54,43,41,38,37,34,48,5,0,0,0,0,0,0,39,206,195,191,193,193,192,190,190,190,188,187,96,51,45,42,40,36,33,32,41,16,0,0,0,0,0,0,63,204,190,194,193,193,193,192,192,191,189,189,65,48,35,36,33,26,27,27,43,13,0,0,0,0,0,0,145,210,194,196,196,195,194,193,192,191,190,190,64,48,40,26,13,61,46,17,45,0,0,0,0,0,0,0,184,201,196,196,196,195,194,194,193,192,190,190
23,124,127,130,133,137,138,141,143,144,145,145,144,144,145,145,143,143,142,141,140,139,138,139,138,136,139,153,164,127,131,134,137,140,144,146,147,148,149,149,149,149,149,150,148,149,147,143,143,142,142,141,140,139,140,125,121,130,135,139,141,144,149,151,152,153,154,155,154,154,151,150,150,146,149,153,147,145,146,146,144,143,144,132,77,134,139,143,146,149,153,155,157,158,159,159,158,158,167,182,183,154,121,138,150,153,150,149,147,146,145,149,113,137,141,146,150,153,156,159,161,163,163,165,190,190,197,204,189,173,155,146,144,139,157,154,152,150,149,147,147,140,144,148,152,155,159,163,165,167,166,178,204,174,150,143,101,114,137,133,102,110,162,156,155,154,153,152,149,142,147,151,154,158,163,165,168,170,167,193,189,171,74,90,134,151,132,112,115,155,164,161,159,157,156,155,153,145,150,153,157,160,164,168,171,172,174,202,188,166,116,148,153,183,175,175,176,170,167,166,165,162,160,158,156,147,151,155,159,163,167,170,173,174,183,197,182,191,202,167,73,157,182,171,169,171,170,170,169,167,164,162,159,149,153,157,161,164,169,172,176,175,189,197,202,212,198,160,76,141,177,182,180,176,173,174,173,171,169,165,169,150,156,158,163,168,170,174,177,175,196,211,209,186,179,137,137,196,126,129,160,175,183,176,176,175,171,177,130,153,157,161,164,170,173,175,177,191,202,198,173,151,169,151,160,188,130,63,55,80,156,185,177,176,178,167,52,155,159,163,167,171,173,180,197,201,188,175,177,184,192,188,143,139,124,67,53,50,96,191,178,175,188,115,42,155,161,165,169,171,187,196,194,192,194,201,205,199,186,168,129,68,112,82,66,59,99,191,183,192,185,67,45,157,162,167,170,174,196,184,182,178,175,185,182,166,152,142,113,49,47,69,68,56,114,203,164,140,95,49,47,158,164,168,171,178,205,190,168,163,169,171,171,167,159,150,110,57,26,58,77,70,80,94,58,33,33,44,45,161,165,169,172,180,198,187,172,173,181,185,182,161,146,133,92,59,38,80,100,85,35,18,41,38,39,42,41,162,166,169,174,177,185,189,187,187,176,177,136,112,117,109,84,58,36,59,96,85,42,22,23,23,42,38,36,162,166,171,175,179,183,188,185,178,160,135,95,49,67,110,87,50,47,69,82,71,33,32,27,21,27,33,28,164,169,172,177,180,180,180,190,190,145,101,75,42,73,124,79,38,55,73,78,54,30,26,28,30,23,24,26,163,168,172,176,179,177,172,198,184,103,72,39,48,83,73,45,55,71,70,69,40,34,33,19,20,29,27,28,164,168,172,176,180,175,170,191,161,104,79,49,26,28,34,55,72,81,80,56,23,31,36,24,12,18,21,34,164,169,173,176,180,170,172,192,161,109,86,56,30,40,66,80,87,87,79,47,14,19,34,34,17,11,16,21,164,168,173,176,180,167,181,197,167,116,91,66,48,50,81,88,90,84,69,35,17,19,24,35,24,9,15,12,170,174,178,182,187,173,178,190,165,126,96,78,58,51,70,88,90,85,55,18,20,19,21,25,32,15,9,14,136,142,147,152,159,153,177,184,163,127,97,88,66,59,59,85,92,83,34,10,21,15,16,20,23,24,5,8,84,86,88,90,85,102,176,174,153,117,100,102,68,63,64,78,88,51,27,21,18,14,8,17,17,21,13,2,95,96,96,99,86,89,178,162,136,106,113,106,68,65,65,77,49,12,28,24,23,17,7,9,16,16,15,0
12,155,157,159,162,163,164,167,170,171,172,172,172,174,172,173,174,173,173,174,174,173,172,172,172,170,170,170,169,157,160,161,164,165,166,169,172,174,174,173,174,175,175,176,175,176,174,176,177,176,174,174,173,173,172,171,171,158,160,163,165,167,168,171,171,174,176,176,175,177,177,176,178,177,178,178,178,178,178,178,176,175,174,173,173,158,160,164,166,167,169,171,173,174,175,176,179,180,178,178,180,180,178,177,179,180,180,179,177,177,176,175,174,160,163,166,167,170,171,173,175,176,178,179,180,180,178,184,182,180,180,183,181,179,180,178,178,178,178,178,176,161,163,166,168,172,173,176,177,178,179,180,179,181,180,167,177,187,172,149,172,183,179,178,180,180,180,180,178,163,165,167,170,172,174,177,180,181,180,181,177,201,200,146,140,210,166,105,111,193,183,187,180,181,181,181,181,164,166,169,171,173,174,177,179,181,181,181,180,229,210,157,131,204,162,104,67,150,137,145,188,181,183,183,183,166,169,172,173,176,177,178,179,179,183,191,147,159,198,150,120,197,156,97,75,167,126,63,152,190,182,184,185,166,168,171,174,177,178,181,183,176,212,203,162,98,148,144,109,192,156,86,116,180,137,73,98,198,184,185,184,166,169,171,174,177,179,182,181,193,230,217,173,113,97,166,108,209,194,116,143,186,149,76,88,196,186,186,184,167,172,173,175,178,180,183,178,214,199,211,176,117,83,181,112,180,182,91,153,222,165,69,91,197,187,187,187,169,172,175,177,179,183,184,183,224,192,196,176,116,66,107,95,62,127,108,151,173,105,44,99,199,187,187,188,171,174,176,178,180,185,180,210,224,173,182,171,119,71,47,49,45,158,198,182,151,125,55,109,200,187,190,188,172,175,177,180,182,184,183,226,206,154,160,166,120,80,65,70,158,187,175,165,141,130,79,131,203,190,191,188,173,175,179,182,184,183,194,226,196,168,136,156,160,80,56,182,212,182,165,150,117,101,77,135,202,190,193,190,174,176,179,183,186,182,209,226,200,182,143,120,133,81,134,226,210,178,160,140,107,95,67,146,204,192,194,192,176,178,179,184,188,182,217,225,200,175,165,128,125,149,209,223,207,171,152,127,98,88,62,164,203,194,194,193,177,179,182,185,189,183,218,224,202,183,172,144,147,157,215,222,199,164,141,119,93,87,53,152,205,192,195,194,178,179,182,186,189,184,215,229,208,192,182,158,136,169,219,215,187,162,132,107,88,79,53,175,203,193,195,195,179,181,185,186,189,187,209,229,209,193,181,163,143,193,211,195,175,154,126,98,86,56,121,207,195,195,196,196,179,183,186,187,190,189,204,226,202,188,170,154,164,199,184,179,161,139,114,93,62,106,204,199,197,197,198,197,181,183,185,187,190,189,209,222,195,186,166,164,185,196,172,170,150,125,106,75,101,201,201,200,200,199,199,198,182,184,187,189,193,187,218,221,203,196,180,179,195,193,169,160,139,121,91,81,189,204,201,201,200,200,200,200,183,185,188,190,195,187,233,230,216,197,187,192,194,179,164,135,122,104,70,147,207,202,203,201,201,201,200,200,183,186,189,190,192,192,237,228,226,203,196,194,180,168,146,117,111,72,120,205,205,205,204,202,202,202,201,200,183,187,190,193,189,197,227,213,218,196,193,180,174,150,129,113,92,82,186,209,206,207,205,203,203,202,202,201,184,187,191,194,186,202,222,195,192,180,179,183,166,136,131,109,73,127,207,207,207,207,206,205,203,204,203,202
2,213,213,213,214,215,216,215,214,214,214,214,214,214,214,214,213,213,213,212,211,210,207,208,209,204,104,64,88,216,218,219,217,217,217,217,218,217,219,218,220,217,217,217,217,212,219,216,217,210,211,213,217,192,83,81,94,222,223,224,222,221,223,223,223,223,225,225,223,218,225,234,194,132,179,198,180,224,218,215,217,208,109,92,88,226,226,227,225,225,226,226,226,228,226,223,228,237,233,185,137,101,109,139,107,163,212,219,217,223,144,91,96,230,229,230,228,229,229,229,231,230,230,245,255,211,146,114,100,93,94,105,93,84,175,230,217,229,164,86,83,233,233,233,232,232,233,234,235,229,243,255,232,140,89,94,90,83,76,89,93,79,172,233,221,229,192,93,63,236,236,237,236,236,236,238,237,232,255,235,147,101,78,81,88,79,74,78,87,131,222,228,224,225,225,101,45,240,239,240,240,240,239,240,237,246,255,184,102,91,82,74,81,87,102,155,196,233,233,230,228,227,228,149,128,242,242,243,243,243,242,243,235,255,255,164,111,92,102,87,89,103,193,248,239,235,234,233,231,231,233,192,173,241,244,247,247,246,246,244,248,255,224,141,92,89,96,87,117,215,244,236,237,239,238,235,234,232,245,146,186,246,247,248,248,248,249,241,255,255,204,139,97,91,86,94,165,255,241,243,241,240,240,240,239,235,242,165,224,248,251,252,251,249,250,248,255,255,194,141,119,106,92,90,192,255,247,248,244,243,242,241,240,238,238,220,200,250,251,253,254,253,248,255,255,240,177,130,115,112,108,100,236,255,249,249,248,248,246,246,243,240,240,244,210,252,252,254,255,255,247,255,255,227,163,118,109,103,108,128,255,253,252,250,249,249,249,248,246,244,245,241,235,254,255,255,255,252,248,255,255,217,162,120,105,102,104,138,255,252,252,250,250,250,249,248,248,247,247,243,235,255,255,255,255,249,255,255,253,203,150,120,108,112,98,162,255,254,254,253,252,251,250,252,252,251,253,252,244,255,255,255,255,252,255,255,238,189,141,118,105,103,89,146,255,255,255,255,255,255,255,250,238,228,219,230,253,255,255,255,252,255,255,255,228,179,134,113,99,95,110,99,186,255,255,255,255,240,223,212,207,201,188,153,191,255,255,255,248,255,255,255,215,167,133,109,86,99,113,115,108,226,255,240,214,205,206,219,212,184,162,145,172,255,255,255,254,255,255,250,197,154,131,101,81,110,114,123,132,132,162,180,204,223,213,187,145,156,216,245,253,255,255,251,255,255,255,237,187,149,126,90,94,128,133,147,149,148,156,187,211,197,157,123,164,254,255,255,255,255,255,255,255,255,255,222,180,145,125,92,109,141,150,156,153,154,160,174,154,143,171,215,255,255,255,255,254,255,255,255,255,255,253,214,171,133,121,101,124,147,158,160,153,143,133,125,164,234,255,255,255,255,255,255,255,249,255,255,255,255,249,205,159,127,120,111,141,155,158,151,137,118,126,203,255,255,255,255,255,255,255,255,255,255,255,255,255,254,220,175,141,127,116,120,144,149,152,132,115,180,248,255,255,255,255,255,255,255,255,255,255,255,255,255,246,219,187,155,131,125,117,127,136,142,133,112,200,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,219,196,175,145,128,122,126,126,125,122,135,221,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,190,178,150,124,127,129,127,125,117,179,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255
12,198,200,202,204,204,203,204,204,205,206,206,204,204,203,206,207,203,199,200,198,197,197,195,194,192,191,189,187,200,204,205,205,206,207,206,206,207,208,208,208,206,205,195,179,192,205,199,200,199,197,195,195,195,193,190,188,202,204,205,207,208,208,209,209,208,209,207,193,204,209,157,127,105,181,211,203,204,201,197,197,196,195,191,190,204,207,207,208,208,209,209,211,208,210,190,140,121,166,169,142,104,113,190,154,141,178,204,196,196,194,192,191,206,208,208,209,210,212,210,210,208,218,188,155,117,107,185,151,125,100,97,126,110,85,178,205,197,196,194,192,207,208,209,209,211,211,213,213,210,223,200,169,146,97,179,163,134,106,75,121,117,67,111,212,199,198,195,193,207,209,209,210,212,212,213,212,217,225,216,178,152,100,150,169,137,111,65,116,113,76,81,209,200,199,197,195,210,212,211,212,213,213,214,212,225,202,225,186,154,108,117,170,138,112,66,101,121,78,84,210,200,200,198,197,210,211,212,212,212,214,211,210,198,135,185,194,145,116,101,171,141,116,73,92,124,76,101,215,200,202,199,198,210,211,212,213,214,210,209,216,180,116,107,188,151,115,79,164,155,123,87,67,106,68,143,217,201,203,202,199,211,213,214,214,214,226,225,203,152,115,75,159,154,103,67,153,186,148,103,63,88,60,165,215,204,205,201,200,212,213,216,214,223,224,198,184,142,128,81,135,156,115,80,163,204,156,106,73,97,77,189,212,206,205,203,201,213,214,215,214,237,213,167,184,150,137,90,101,169,155,101,127,180,129,81,72,104,73,171,219,206,205,203,201,214,214,213,222,219,192,146,144,161,131,91,77,175,166,129,63,61,60,55,93,103,53,98,222,206,206,205,203,215,215,215,223,209,175,147,103,144,138,111,67,148,165,119,66,41,79,91,91,71,62,68,205,212,207,205,204,212,216,217,220,222,194,166,126,110,152,112,72,51,109,112,69,94,120,135,115,82,70,83,211,209,209,205,205,214,217,218,220,226,201,170,141,105,129,104,94,45,115,185,159,149,139,146,121,90,51,133,224,208,210,206,204,216,217,220,222,228,210,179,152,121,98,118,126,87,179,216,198,170,148,140,113,83,48,174,223,210,211,207,205,215,217,219,224,220,201,176,150,121,99,107,122,143,211,206,186,162,143,125,107,72,56,202,216,212,210,207,206,217,218,220,222,206,190,177,150,114,125,97,132,194,203,194,174,154,136,117,102,54,114,227,210,212,210,208,207,217,219,221,219,206,193,180,147,117,139,120,180,198,196,188,164,145,126,108,80,69,207,218,213,212,211,208,207,219,221,221,223,210,192,181,152,133,129,132,187,186,194,183,158,132,113,102,54,126,234,214,215,213,213,211,208,218,221,221,223,213,196,184,164,140,117,129,184,180,183,166,145,117,100,84,49,195,225,219,216,214,213,212,210,217,221,222,223,220,207,185,161,138,111,121,169,169,164,149,124,101,91,51,108,234,219,218,216,214,213,212,211,218,221,223,223,222,205,182,164,143,125,123,156,159,143,129,112,92,70,55,206,225,219,218,215,215,214,213,211,220,221,224,223,226,198,169,155,138,136,126,146,161,144,124,106,88,41,154,234,218,220,219,216,214,214,215,212,221,222,224,223,225,196,173,164,156,154,140,146,157,141,119,100,63,91,230,222,222,221,219,219,216,214,214,213,221,222,223,217,221,198,177,177,168,157,147,148,154,133,97,85,54,177,234,222,224,222,220,220,218,215,214,213
23,146,149,151,154,158,160,162,164,165,166,166,165,165,166,165,164,164,163,163,161,160,159,160,159,157,160,174,184,148,152,156,158,161,165,167,168,169,170,170,170,170,170,171,168,170,167,164,164,163,163,162,161,160,162,146,143,151,156,160,162,165,170,172,173,174,174,176,175,174,172,171,171,167,170,173,168,166,167,167,165,164,165,153,100,155,160,164,167,170,174,176,178,178,180,180,179,179,188,202,203,174,142,159,171,174,171,170,168,167,166,169,135,158,162,167,170,173,176,180,182,183,184,186,209,210,216,223,208,193,176,167,165,160,177,174,173,171,170,168,168,161,165,169,173,176,180,183,185,187,186,198,223,194,171,164,123,136,158,154,124,132,182,177,175,174,173,173,170,163,168,172,175,179,183,185,188,190,188,213,209,191,97,112,155,171,153,134,137,176,185,181,179,178,177,175,173,166,170,173,177,181,184,188,191,192,194,222,207,187,138,169,174,202,195,195,196,190,187,187,185,182,180,178,177,168,172,175,180,183,187,190,194,194,202,216,202,211,221,188,96,178,201,192,189,192,190,190,189,187,184,183,180,170,174,177,182,184,189,192,196,195,208,217,221,231,217,181,99,162,197,202,200,196,193,194,193,191,189,186,189,171,176,179,183,188,191,194,197,195,216,230,228,206,199,159,158,216,148,150,180,195,203,196,196,195,192,197,152,173,178,181,185,190,193,195,197,211,222,218,193,172,189,172,181,208,151,87,78,103,177,204,197,196,198,187,76,176,180,183,187,191,193,200,216,220,207,195,197,204,212,207,164,160,146,91,77,74,119,211,198,195,207,136,66,176,181,185,189,191,207,215,213,211,213,220,224,218,205,189,151,92,134,105,90,83,121,210,203,211,205,90,69,178,183,188,191,194,215,203,202,198,195,205,202,186,173,163,135,73,71,92,92,80,136,222,185,161,117,73,71,179,184,189,191,198,224,209,188,183,189,191,191,187,180,171,132,81,50,82,100,94,103,116,82,57,57,68,69,181,185,189,192,200,218,207,192,193,201,205,202,181,167,155,115,83,62,103,122,108,59,43,65,62,64,66,65,183,186,189,194,197,205,208,207,207,196,197,157,134,139,131,107,81,60,83,118,107,67,47,48,48,66,63,61,183,186,191,195,199,202,207,205,198,180,156,118,73,90,132,109,74,71,92,105,94,57,56,52,46,52,58,53,184,189,192,197,200,200,200,210,210,166,123,98,66,96,145,102,63,79,96,101,77,55,51,53,55,48,49,51,184,188,192,196,199,197,193,217,203,125,95,63,72,106,96,69,79,94,93,93,64,58,57,44,45,53,51,53,184,188,192,196,200,195,190,211,181,126,102,73,51,53,58,79,95,104,103,80,47,56,60,49,37,43,45,58,184,189,193,196,200,190,192,212,181,131,109,80,55,64,90,103,110,110,102,71,39,44,58,58,41,36,41,46,184,189,193,196,200,187,201,216,188,138,114,90,72,74,104,110,112,107,92,60,42,44,49,59,49,34,40,38,190,194,198,202,207,193,198,210,186,147,118,101,82,75,93,111,112,108,79,43,45,44,46,49,56,40,34,39,157,163,168,173,180,174,197,203,183,148,120,111,89,83,82,108,114,105,59,35,46,40,41,45,48,49,31,33,107,109,110,113,108,125,196,194,174,139,122,124,91,86,88,101,110,75,52,46,43,39,34,42,42,46,38,27,118,118,119,121,109,112,198,182,157,128,135,129,91,89,88,100,73,37,52,49,48,42,32,34,41,41,40,25
1,150,153,156,157,159,160,160,161,164,163,163,164,164,161,164,168,162,165,165,164,163,164,164,164,164,164,163,163,153,156,159,159,161,163,164,164,165,165,164,166,168,171,151,135,168,165,166,166,165,165,166,166,168,166,164,164,157,160,161,164,164,165,165,165,167,168,166,169,157,175,165,77,169,175,166,167,167,167,168,168,169,168,167,166,160,162,162,165,166,167,167,167,169,172,168,189,145,128,175,74,138,152,170,170,171,172,172,171,172,171,169,169,161,163,166,168,168,170,170,170,172,173,168,193,142,123,176,80,105,109,125,182,171,173,173,174,174,173,172,171,163,166,167,169,171,171,173,173,173,174,173,193,146,125,189,109,104,137,85,182,173,174,174,175,174,174,174,173,165,168,169,171,173,173,175,174,175,175,153,195,162,113,191,130,97,147,81,164,181,177,178,177,175,176,176,174,167,170,172,173,173,174,177,177,177,187,113,157,183,102,177,140,105,167,106,138,185,178,180,180,180,179,177,176,169,172,173,174,176,178,179,178,181,190,103,148,184,102,160,152,113,184,137,110,188,180,181,182,181,181,180,179,170,172,174,175,178,179,182,180,184,197,111,151,182,106,166,166,111,160,167,99,173,186,183,183,182,181,181,180,173,174,176,178,180,180,184,181,187,197,112,162,203,124,150,184,108,138,184,108,146,195,184,184,184,183,184,183,173,175,177,178,180,182,185,183,189,187,111,153,204,119,114,180,102,138,196,124,119,196,184,187,186,186,185,184,174,177,179,181,182,184,185,184,193,185,133,115,193,90,102,172,102,119,191,142,103,191,188,188,188,187,186,185,174,177,180,181,183,184,186,183,198,189,126,85,180,158,140,132,154,165,139,124,96,179,193,189,189,188,188,187,176,178,181,183,186,185,187,185,199,179,126,130,129,193,144,147,182,151,121,129,87,149,200,188,190,190,190,188,178,180,181,183,186,185,186,188,195,177,169,164,102,159,166,196,185,164,120,115,97,102,203,191,192,192,191,189,178,181,183,185,186,187,187,189,195,172,157,147,107,157,198,195,166,192,175,128,94,76,188,197,192,193,193,192,177,181,183,186,186,187,187,191,204,166,140,132,161,175,165,146,114,203,209,186,136,65,163,203,192,194,194,193,178,180,181,185,185,186,186,192,214,175,130,133,124,120,111,103,140,186,203,183,155,102,140,208,193,195,194,193,177,180,181,182,185,186,187,191,222,192,129,128,128,127,142,174,209,187,180,168,129,95,121,206,192,194,194,193,178,180,183,184,186,186,186,189,220,210,139,133,152,149,201,213,207,197,176,156,121,65,120,207,192,194,194,193,179,181,183,186,186,187,187,190,217,224,160,143,164,146,196,216,214,202,171,143,112,60,114,208,193,194,195,194,177,180,183,186,187,188,189,188,212,225,176,156,181,144,193,223,221,201,163,131,103,61,133,208,194,195,195,194,178,179,182,185,187,188,189,185,203,221,191,171,192,145,177,224,219,189,155,124,93,65,168,204,196,197,196,196,184,186,187,190,191,192,193,190,196,215,204,187,183,161,155,224,213,180,149,117,81,70,193,199,197,198,196,196,146,150,155,162,164,166,171,173,177,210,216,202,175,164,135,212,204,170,138,106,74,91,210,204,207,207,199,197,75,79,81,82,83,85,89,91,88,195,214,190,168,155,131,183,187,156,123,100,80,91,146,148,148,150,177,204,82,84,85,85,86,85,85,89,72,164,205,176,164,153,134,163,175,151,114,97,87,79,78,77,102,161,182,191
4,146,147,149,150,151,152,151,151,151,151,152,152,152,154,156,153,152,155,155,152,152,152,152,151,151,151,150,149,148,150,150,151,153,153,152,152,153,153,155,155,153,146,141,151,157,141,136,156,157,152,155,154,152,151,152,152,151,152,151,153,155,156,155,154,156,155,151,153,163,151,121,109,129,135,110,107,148,159,156,157,155,154,154,154,152,152,153,154,156,156,157,158,156,152,139,124,120,160,164,120,67,87,133,87,56,153,159,156,157,156,157,156,154,154,155,156,157,158,158,159,164,170,168,132,81,77,164,120,76,22,80,97,30,122,169,157,158,158,158,158,156,158,158,158,158,154,156,126,109,146,147,154,97,34,119,132,72,25,40,92,39,108,172,159,159,160,160,158,159,160,160,159,159,164,166,122,56,52,96,160,127,43,53,143,115,43,19,117,59,103,174,161,162,161,161,160,160,159,160,160,164,145,136,134,77,28,29,148,162,74,24,146,143,69,19,110,86,114,173,163,163,163,163,163,160,161,162,161,160,151,94,118,124,68,1,106,164,81,29,109,144,81,21,63,69,125,175,164,165,165,165,164,161,163,164,163,164,156,87,78,129,85,33,58,83,64,44,52,88,61,26,44,40,57,172,165,168,166,165,165,163,164,164,163,167,161,142,117,96,64,36,53,53,58,67,68,60,48,40,77,81,47,121,178,164,167,166,165,164,164,165,166,168,170,148,121,90,65,53,62,62,63,84,77,78,47,79,124,116,97,69,164,171,168,169,167,165,165,167,167,170,172,140,111,91,71,73,73,78,97,97,114,130,136,96,122,129,108,49,104,183,167,169,168,165,167,168,167,170,168,133,97,82,65,74,89,101,124,140,149,166,165,152,133,113,77,44,48,169,171,170,170,167,168,169,168,169,173,148,115,90,77,88,96,104,161,151,153,162,156,148,130,102,67,44,36,155,176,169,170,168,170,171,171,169,177,163,127,96,81,84,96,123,167,150,158,158,157,143,124,103,68,40,55,175,172,171,171,168,170,172,172,170,171,169,140,113,86,85,104,124,167,159,168,169,157,142,125,98,66,29,107,185,171,174,174,169,171,172,172,172,171,175,156,124,93,96,117,116,164,168,175,175,165,150,119,84,60,34,158,183,176,175,174,170,171,172,173,173,170,173,167,132,103,107,129,120,159,172,179,181,181,150,109,77,44,67,185,176,177,175,174,170,172,173,174,175,170,167,173,146,106,113,128,131,161,171,184,186,176,136,99,77,29,119,189,176,178,176,177,172,173,174,174,175,168,158,164,154,115,115,125,131,166,171,181,179,150,115,90,66,37,165,182,178,178,178,177,172,174,175,175,177,169,151,165,161,134,116,120,131,160,171,165,156,128,101,81,42,75,190,177,178,178,178,177,171,173,175,176,177,178,154,158,162,147,129,125,133,149,163,153,132,113,86,62,37,151,188,179,181,180,179,179,170,171,172,173,174,179,166,145,152,149,137,131,129,129,136,130,110,87,62,31,102,191,177,180,182,180,179,179,171,172,173,173,174,178,174,146,151,145,136,132,121,113,120,119,98,67,40,41,174,181,179,179,180,179,178,177,173,173,174,175,174,177,174,149,150,137,129,126,114,100,106,107,79,51,28,84,191,177,180,180,180,179,179,179,172,174,176,176,176,177,176,152,146,116,109,118,108,104,104,92,64,50,24,122,189,179,182,180,179,180,180,178,173,174,177,177,177,177,177,154,154,126,123,134,125,116,104,87,68,53,27,146,185,180,181,181,180,181,180,178
7,161,171,178,178,184,191,197,201,204,206,209,212,213,216,218,220,221,222,222,223,221,222,223,221,220,220,219,218,162,172,178,179,185,191,198,202,205,208,211,213,216,219,219,221,222,225,224,225,224,225,227,224,222,222,220,219,164,173,178,181,186,193,198,202,207,210,212,214,218,220,221,223,225,226,226,226,226,226,226,226,225,225,223,221,165,174,177,181,186,194,198,203,208,211,212,216,218,222,223,225,226,227,228,228,227,228,228,227,227,226,225,223,167,175,178,181,188,195,200,203,208,212,215,218,221,223,225,226,226,228,228,228,229,229,229,229,229,228,226,225,169,177,182,184,190,195,200,205,209,212,216,219,223,226,226,228,228,230,231,230,230,230,229,230,230,229,228,226,170,178,184,186,191,198,203,207,211,214,220,221,224,227,229,232,231,233,233,233,232,232,231,231,231,230,229,227,170,179,184,187,194,197,200,209,210,214,217,219,219,226,228,229,231,233,233,234,236,233,232,232,233,231,231,229,169,180,186,186,189,204,231,233,219,223,234,234,234,230,220,214,225,220,222,221,227,235,237,235,234,233,233,232,172,181,180,189,224,250,255,242,217,207,225,238,243,238,216,217,241,223,209,199,182,212,221,234,235,235,234,235,168,180,213,248,255,250,254,240,206,197,209,222,228,226,200,199,221,208,199,191,179,197,180,236,243,238,236,236,200,243,255,253,249,252,251,225,200,198,215,242,247,252,230,225,219,210,225,215,196,189,196,209,221,239,238,236,255,255,254,255,253,253,255,239,174,160,168,196,202,206,212,218,216,218,226,230,217,212,216,195,211,207,234,237,255,255,255,255,255,255,255,231,158,134,145,130,112,136,161,174,179,181,181,187,190,190,192,184,200,187,237,241,255,255,255,255,255,255,255,192,143,138,139,142,115,88,109,224,227,232,228,224,218,210,210,206,206,226,241,238,255,255,255,255,255,255,245,182,127,130,153,154,148,123,120,242,243,243,244,246,247,246,247,246,244,241,239,239,255,255,255,255,255,255,252,169,125,110,101,147,172,142,114,210,247,240,243,242,242,240,239,239,239,239,240,238,255,255,255,250,253,254,206,159,129,128,95,106,145,145,140,222,246,241,243,244,245,243,243,243,241,242,241,240,248,246,232,222,230,214,176,156,146,132,125,115,154,186,215,241,241,242,244,245,245,246,245,245,242,242,242,242,230,219,212,209,212,185,151,144,139,142,123,121,222,244,241,240,241,244,244,245,245,247,245,244,245,245,242,241,198,199,188,170,158,156,177,188,162,160,162,188,236,234,237,241,243,244,244,245,244,245,246,245,244,244,243,242,162,158,147,148,169,198,214,222,225,224,230,234,234,237,239,242,243,245,244,245,244,244,245,244,242,241,242,241,132,125,126,152,164,158,156,158,158,158,158,158,159,161,163,161,162,164,165,162,160,159,158,156,154,154,153,151,105,125,134,128,133,131,129,126,126,126,126,127,128,129,126,123,123,125,126,127,128,127,127,125,121,120,121,120,125,133,138,139,139,141,139,139,140,140,141,139,139,139,137,142,143,138,136,136,136,136,135,133,129,132,131,121,128,132,139,139,139,140,138,136,137,138,138,136,136,135,134,142,144,141,142,136,133,132,132,132,132,128,121,166,129,127,139,140,140,139,139,138,139,139,138,138,139,137,137,136,134,135,137,134,133,132,132,134,127,139,208,239,127,120,135,142,141,142,142,140,141,142,141,141,141,141,140,138,136,136,136,135,136,133,131,129,133,233,225,201
23,138,140,143,149,152,156,160,162,164,165,168,169,171,171,173,173,172,173,171,170,172,170,169,169,169,169,166,163,138,141,144,150,153,157,160,163,166,167,170,171,171,173,174,173,174,174,174,173,173,171,171,170,171,170,169,166,139,142,146,149,154,160,161,164,166,168,170,173,174,176,177,175,175,174,175,175,175,174,173,173,171,170,171,169,142,143,148,153,157,160,163,165,167,169,173,172,172,172,167,178,179,177,177,177,178,177,175,175,172,173,172,171,143,143,150,154,160,162,165,169,170,167,168,180,195,191,146,118,167,180,180,179,178,178,176,175,174,172,173,172,142,144,152,157,159,163,166,169,168,178,205,200,196,182,161,144,145,118,180,181,179,179,178,178,177,175,174,173,145,146,151,156,159,164,167,172,167,199,198,147,151,111,117,138,108,118,182,180,180,180,180,179,177,176,176,176,145,147,152,157,162,167,169,174,171,196,173,134,70,121,180,172,167,184,183,182,181,181,181,180,179,179,178,175,145,149,154,159,163,168,171,175,171,201,176,156,58,145,195,189,191,186,186,186,185,184,181,180,181,180,179,177,147,149,155,160,166,168,171,175,173,203,180,158,87,160,191,129,177,188,186,186,185,185,183,183,182,181,181,179,148,151,156,159,166,169,172,177,174,210,191,198,214,215,198,75,127,202,185,186,186,187,186,186,184,183,182,181,150,154,158,161,166,170,173,173,180,217,226,229,204,192,139,77,108,204,193,189,188,189,187,187,186,185,184,184,149,153,160,163,168,171,173,191,207,216,222,212,200,187,82,112,145,106,172,190,194,190,190,190,187,186,187,184,151,153,159,165,170,170,210,220,211,216,222,214,196,156,70,101,143,61,65,99,144,198,190,190,189,189,187,186,152,155,160,168,170,175,222,202,194,202,201,184,187,127,62,60,105,78,68,82,76,183,196,192,191,192,189,187,152,155,162,170,169,182,218,196,207,221,213,204,179,117,74,52,61,83,78,91,86,175,199,193,194,192,191,191,151,156,162,170,171,170,230,227,227,217,191,167,140,96,82,70,27,54,81,89,92,180,200,194,195,194,192,191,152,156,162,169,173,170,232,226,196,151,111,100,86,91,96,58,5,49,86,96,99,187,200,196,196,196,194,193,155,157,163,170,174,169,218,199,167,116,88,42,59,108,94,39,40,64,86,97,97,191,201,198,197,197,196,195,153,159,165,170,175,168,203,200,154,96,68,33,85,74,42,40,65,79,79,94,107,200,199,199,200,199,197,195,155,159,165,172,179,164,201,197,144,106,83,54,30,19,44,62,79,89,86,90,163,207,200,200,201,201,197,196,154,159,166,171,179,162,197,197,153,117,88,80,45,39,77,93,100,104,88,129,211,202,203,203,202,201,198,197,153,159,167,170,182,158,195,204,160,122,96,93,73,59,95,105,107,106,89,160,215,205,206,204,204,203,202,200,155,160,168,172,182,160,187,201,156,128,102,96,82,64,94,104,105,101,97,188,210,205,206,206,204,204,203,202,156,160,168,174,182,164,182,196,152,129,104,97,86,73,92,100,108,93,133,214,207,206,207,208,206,204,202,202,155,161,168,173,182,173,180,189,152,126,104,92,90,86,96,103,97,117,198,212,209,208,207,207,207,206,203,202,156,161,169,175,182,175,180,183,141,116,98,94,96,93,93,98,120,200,214,210,211,211,210,209,207,206,205,203,156,160,168,174,182,175,184,188,138,112,99,97,96,97,97,93,178,215,208,211,211,211,210,210,208,206,205,204
3,128,131,133,135,139,141,142,143,143,143,143,144,144,143,142,138,156,157,76,122,140,135,134,133,130,129,127,125,130,134,136,137,140,142,144,146,146,147,146,145,146,146,145,140,160,145,63,96,147,136,135,135,133,131,129,127,132,136,138,139,143,145,146,148,149,149,149,148,148,147,146,142,159,135,64,87,149,137,137,137,135,132,130,128,133,137,140,141,144,147,149,150,151,150,151,150,149,149,148,145,159,137,64,83,149,139,140,137,135,134,132,130,136,139,141,144,146,149,151,152,153,153,153,152,152,151,150,146,163,161,84,76,147,142,141,140,137,136,134,131,139,141,143,147,149,151,153,155,156,156,156,156,154,153,152,147,169,165,84,69,146,143,142,141,138,136,135,133,139,143,146,149,152,154,156,157,157,157,158,157,156,156,155,148,173,155,74,66,149,145,143,142,140,137,136,135,141,145,149,151,155,157,158,159,161,160,160,160,158,158,157,150,174,154,77,69,152,148,146,144,142,139,137,136,143,147,151,154,157,158,161,162,163,163,163,163,162,160,158,155,185,151,79,68,152,149,148,146,144,141,140,137,145,149,153,156,158,161,163,164,165,166,165,165,164,160,162,151,136,112,58,66,157,149,149,148,144,142,139,137,146,151,155,158,161,164,165,166,167,167,167,167,164,167,188,145,76,45,25,87,163,150,151,150,146,144,141,139,148,153,157,160,163,165,167,169,170,169,169,165,163,146,142,148,103,63,9,128,165,152,154,152,149,146,143,141,150,154,158,161,164,167,169,170,171,171,166,181,180,114,53,114,173,91,50,108,150,161,156,152,150,148,145,143,150,155,159,163,166,169,170,173,167,176,139,100,155,121,71,91,179,85,64,45,78,102,155,154,151,150,148,145,151,156,160,164,168,171,172,171,186,187,140,76,107,144,90,68,142,95,82,64,94,57,128,162,151,150,149,147,153,157,162,166,168,172,172,180,190,174,160,117,76,138,89,55,106,107,95,75,90,45,117,166,152,153,150,147,152,158,163,166,169,173,172,194,189,160,169,122,69,107,88,55,96,69,59,89,68,34,114,168,154,154,151,150,152,157,163,166,169,172,172,189,181,134,140,120,61,75,85,38,125,127,42,111,97,36,91,169,154,153,151,149,155,158,164,168,171,173,175,177,177,152,139,99,41,69,70,19,121,134,45,93,102,34,71,170,154,153,150,147,154,159,164,168,171,173,175,181,190,172,150,89,64,73,82,46,105,109,84,85,74,29,114,166,153,153,155,158,154,160,166,169,171,173,175,180,194,180,165,93,72,72,95,108,160,137,108,87,39,56,168,166,168,165,144,101,156,163,168,172,174,177,180,182,194,189,161,110,90,80,143,171,149,117,79,72,35,123,174,133,107,79,33,8,105,106,108,109,111,111,108,108,178,184,152,132,103,95,154,162,128,96,72,60,36,66,45,7,0,0,0,1,79,82,81,82,81,78,81,65,141,184,153,135,117,86,120,132,102,77,61,42,12,0,0,0,0,0,0,0,88,89,88,88,88,89,99,67,65,181,154,135,116,77,78,76,70,57,41,12,0,0,0,0,0,0,0,0,89,89,87,86,87,87,89,62,7,89,147,137,95,58,60,58,60,33,0,11,0,0,0,0,0,0,0,0,89,91,91,90,89,90,83,37,21,16,56,85,66,62,54,47,34,0,0,0,5,0,0,0,0,0,0,0,90,90,90,89,88,91,65,24,25,23,11,23,52,45,26,17,0,0,0,0,6,0,0,0,0,0,0,0
3,160,162,164,166,169,171,173,173,174,174,174,174,174,173,173,172,183,171,126,144,166,166,165,163,161,159,158,156,161,164,166,168,171,173,174,176,176,177,176,176,176,175,174,174,183,164,116,132,166,168,166,165,163,161,159,158,163,165,168,170,173,175,176,178,179,179,179,178,178,177,176,176,182,159,112,125,166,169,168,167,165,162,160,159,164,167,170,172,174,177,179,180,181,181,181,180,180,179,178,178,183,162,114,122,166,171,170,168,166,164,162,160,167,169,172,174,176,179,181,182,183,183,183,182,182,181,180,180,189,175,124,120,164,172,171,170,167,166,164,162,169,171,174,176,179,181,183,184,185,186,185,185,184,183,182,181,193,180,125,116,163,173,172,171,169,167,165,164,170,173,176,179,182,184,186,187,187,188,188,187,186,185,184,183,195,176,119,114,164,175,174,172,170,168,166,166,172,175,178,181,184,186,188,189,190,190,190,189,188,187,186,186,197,174,120,115,167,178,176,174,172,169,168,167,174,177,181,184,186,188,190,192,192,193,193,192,191,190,188,188,195,168,117,115,168,179,178,176,173,171,169,168,176,179,183,186,188,191,193,194,195,195,195,194,193,192,192,180,162,134,98,114,171,181,179,177,175,172,170,168,177,181,185,188,190,193,195,196,197,197,197,196,194,195,198,172,126,91,76,123,178,182,181,179,176,174,171,170,179,183,186,190,193,195,197,198,199,199,198,197,193,176,168,165,138,96,75,139,183,185,183,181,179,176,173,171,180,184,188,191,194,197,199,200,200,200,194,195,192,152,119,147,171,122,94,129,165,179,184,183,180,178,175,173,181,185,189,192,196,198,200,201,202,200,174,153,169,150,115,132,174,129,99,97,120,141,173,184,181,180,178,175,182,186,190,194,197,200,201,204,211,206,171,132,141,155,123,116,152,131,112,102,112,110,155,184,183,181,179,177,183,187,191,195,198,201,203,210,214,203,183,145,125,148,122,103,130,129,118,110,109,96,145,185,184,182,180,178,183,188,192,196,199,202,205,216,213,194,184,150,115,128,116,98,122,115,102,114,103,88,138,185,186,184,181,180,183,187,192,196,199,202,205,213,206,179,170,143,104,108,106,90,136,137,99,123,116,86,126,183,186,183,181,179,185,188,193,197,200,203,205,208,205,185,167,130,92,99,97,82,136,144,103,118,116,84,120,182,186,184,181,179,185,189,194,198,200,203,205,210,214,200,174,127,100,103,107,100,137,142,119,115,100,87,142,186,187,185,182,177,185,190,195,199,201,203,206,211,218,208,184,134,109,110,129,144,169,158,132,111,86,107,173,189,185,176,156,132,178,183,187,190,193,195,197,202,216,212,186,146,123,123,161,183,174,147,118,100,85,129,167,150,129,107,79,59,141,142,144,146,147,147,146,155,195,207,185,159,137,133,169,181,158,128,105,88,73,88,84,61,46,39,34,33,117,118,118,119,118,117,117,117,162,199,185,165,144,127,145,152,132,109,90,70,48,38,33,29,29,28,25,25,118,118,118,118,118,119,119,102,115,177,181,165,141,114,112,112,103,87,68,49,32,28,28,25,25,28,27,24,119,120,119,118,118,119,115,89,70,118,155,153,125,99,93,90,84,61,38,36,26,21,25,25,22,24,28,28,120,121,121,120,120,119,107,75,57,66,93,109,101,90,82,75,60,31,12,25,30,17,17,23,23,22,24,28,121,121,121,120,120,118,97,65,56,54,56,68,82,78,65,53,34,11,5,18,31,21,12,19,23,21,22,26
10,157,162,166,169,173,177,179,182,185,187,187,189,190,190,191,190,192,193,192,192,192,192,192,192,193,193,193,193,161,165,168,172,176,180,182,186,188,190,191,193,194,194,194,194,195,195,195,196,195,195,195,194,196,195,194,194,164,168,172,175,179,183,186,189,192,194,195,196,197,197,198,198,198,201,200,199,199,199,198,197,198,199,198,197,166,171,175,179,182,186,190,194,196,197,198,200,201,200,201,201,203,192,195,204,202,202,201,202,202,202,201,201,169,174,179,181,186,189,193,196,200,202,202,203,204,203,205,201,215,190,146,210,204,204,204,205,205,205,205,203,172,176,180,185,188,192,196,199,202,204,204,205,206,207,207,205,213,219,145,178,214,206,208,209,209,208,208,206,173,179,183,187,190,194,198,202,204,206,207,207,208,210,210,213,210,226,185,146,214,210,211,211,211,210,210,210,176,181,186,189,194,197,200,204,206,208,209,210,210,211,210,203,208,230,230,155,191,218,211,213,213,213,212,211,179,183,188,191,195,200,204,206,208,209,210,212,213,212,223,174,138,228,248,186,152,223,214,217,216,216,216,214,180,184,189,193,198,203,205,208,210,211,213,214,216,213,227,209,129,161,252,213,134,206,221,218,219,219,218,218,181,186,191,196,200,203,206,209,212,214,216,217,218,217,221,251,212,157,193,230,141,182,227,218,220,221,220,220,183,188,192,198,202,204,209,211,212,215,218,219,217,228,216,213,255,182,111,205,160,154,233,219,223,223,223,222,185,189,194,199,203,206,209,212,214,217,217,219,222,232,207,133,193,204,127,120,138,131,235,222,225,225,224,224,185,189,195,199,204,207,210,214,217,219,220,219,247,227,182,99,90,203,166,94,89,97,211,231,226,225,225,226,185,190,196,200,205,209,211,215,218,219,221,218,249,218,130,61,49,159,182,133,84,78,161,239,226,227,226,227,188,192,196,202,206,210,213,217,219,218,230,232,212,245,208,110,44,147,193,178,120,82,131,238,228,229,227,227,188,194,197,202,207,211,215,218,221,219,236,254,226,207,250,185,95,191,217,198,138,81,114,235,231,231,231,228,189,195,199,202,207,212,216,218,220,222,220,225,252,192,193,242,160,197,222,189,146,84,107,236,233,233,233,231,189,193,198,202,206,210,214,217,219,221,222,194,211,182,135,201,152,204,232,185,141,93,105,234,234,233,233,232,189,195,199,202,206,209,212,218,219,218,232,234,197,181,144,151,244,251,229,188,130,92,111,233,232,232,230,231,189,194,197,203,208,211,214,217,219,218,229,251,218,181,170,213,255,245,221,172,122,95,118,238,232,232,231,231,189,194,197,203,208,210,213,217,219,222,221,245,229,216,203,229,255,228,203,159,117,108,109,234,234,232,232,231,190,195,199,203,206,210,214,217,219,221,222,236,235,230,224,215,252,214,191,158,142,131,109,231,234,232,233,233,186,191,197,204,210,214,218,222,224,227,230,234,240,239,235,197,230,209,198,173,166,134,120,238,236,235,235,235,117,120,125,132,137,140,145,152,156,160,160,180,243,241,229,201,200,204,212,190,159,116,127,225,223,227,228,231,107,109,110,109,107,105,104,107,108,108,111,109,208,228,209,200,189,196,226,196,147,112,106,121,125,128,132,134,114,114,116,116,116,121,122,121,120,120,123,110,157,222,196,199,198,200,214,191,143,107,115,121,118,119,118,117,111,111,113,113,113,115,116,121,119,117,117,115,127,213,210,200,207,199,196,195,143,106,123,131,127,131,130,133
22,39,43,50,72,90,103,107,112,121,129,134,139,143,147,150,152,154,156,156,154,153,152,152,149,147,147,144,143,40,44,52,74,91,104,108,113,124,129,136,146,145,149,153,154,158,148,150,158,155,156,153,156,153,149,147,147,41,44,54,77,94,106,111,117,125,143,149,106,151,152,156,155,177,121,85,166,157,156,159,136,148,155,149,148,42,45,56,79,96,109,114,122,122,167,172,62,144,157,158,159,190,119,64,167,160,164,169,80,99,166,152,150,42,46,57,81,97,110,116,124,125,164,185,70,130,164,157,164,185,106,78,176,159,177,166,68,106,168,155,154,43,46,59,84,100,111,118,125,130,155,193,83,112,170,159,168,177,98,97,177,163,181,142,59,143,165,157,155,42,45,61,84,100,114,119,127,133,150,203,119,94,171,164,165,153,79,109,177,181,191,112,73,172,160,160,158,43,47,62,85,101,116,121,128,136,146,200,132,80,163,168,169,155,66,119,180,188,172,87,116,175,162,163,160,43,48,63,85,103,118,122,129,140,146,193,144,67,144,174,167,160,68,136,194,188,127,62,154,171,166,165,162,42,47,64,89,105,119,124,131,142,146,184,180,93,119,181,152,135,48,168,211,182,100,75,178,168,167,166,164,44,47,64,89,106,122,127,132,143,149,169,189,100,83,166,121,118,81,191,194,163,67,123,184,171,169,168,166,43,48,65,90,109,122,127,135,145,155,161,184,91,38,110,129,155,187,196,169,112,55,169,178,173,172,170,167,43,48,67,91,110,123,127,136,148,156,155,181,118,72,137,144,156,178,174,152,60,108,192,174,175,174,172,169,44,48,69,93,111,124,128,138,146,172,158,109,118,88,123,137,165,157,169,120,47,163,188,178,177,176,175,172,43,49,69,93,113,126,130,140,147,191,148,139,117,128,85,62,125,143,130,70,50,176,186,181,180,178,176,174,41,47,70,93,115,126,130,141,149,200,170,153,155,140,88,43,34,89,87,49,59,191,183,183,182,181,178,176,41,47,71,95,115,127,132,139,158,208,180,122,96,116,121,103,58,24,29,32,60,194,184,184,184,183,179,176,43,49,73,96,117,128,133,144,158,214,191,105,32,44,120,126,100,62,41,20,30,184,192,185,185,182,181,179,41,48,73,96,116,127,132,144,152,211,204,136,116,28,174,154,117,88,64,7,9,176,194,186,184,183,183,181,38,44,71,96,115,128,132,143,149,206,214,150,122,83,202,179,131,95,68,2,25,191,189,185,183,184,184,183,37,43,70,96,117,128,132,145,148,200,217,152,123,164,191,155,132,80,56,0,58,206,186,187,185,184,184,182,35,42,69,96,118,128,132,144,150,187,211,180,135,191,189,130,138,103,48,0,84,206,186,189,186,183,183,181,27,34,65,93,116,128,133,146,156,177,202,184,136,180,180,137,125,108,43,0,134,209,192,194,190,187,187,185,64,68,80,93,107,117,123,131,142,137,188,186,138,134,157,117,96,71,14,3,156,173,166,165,165,164,164,163,75,75,70,62,68,71,70,71,79,30,69,185,111,78,98,81,53,29,6,27,65,60,58,58,58,57,60,57,72,73,74,75,75,74,74,76,75,21,0,64,84,78,89,100,71,35,0,28,73,62,62,62,61,61,36,2,75,76,75,76,76,75,76,82,49,0,2,0,33,88,93,99,60,5,0,0,77,64,64,65,40,6,0,0,75,75,75,75,75,75,78,75,12,4,1,0,0,8,42,27,0,0,0,24,76,61,66,40,0,0,0,0
1,102,106,108,110,113,118,120,120,122,122,124,125,127,129,128,129,129,129,134,131,132,132,132,132,131,130,131,132,106,109,111,113,116,120,122,125,125,126,127,127,129,128,132,132,139,135,112,136,135,134,133,132,132,132,133,133,110,113,115,117,120,123,126,128,129,130,132,132,132,144,116,123,156,139,76,135,139,138,135,136,135,135,134,135,113,116,118,121,124,127,129,132,133,134,136,134,139,163,95,109,160,124,78,137,122,130,141,138,139,138,137,138,116,119,122,125,128,131,133,135,136,137,138,137,149,159,87,118,160,113,83,147,115,93,147,141,142,141,140,139,119,122,126,129,132,134,138,139,140,140,147,129,138,153,86,124,162,105,90,159,117,83,148,144,144,144,143,142,123,127,129,132,136,139,142,144,145,145,164,117,107,138,92,130,166,112,103,163,111,83,150,148,147,147,146,145,127,130,132,135,140,143,146,148,149,151,170,103,107,127,100,130,158,107,106,167,111,85,154,151,150,150,149,148,130,133,135,139,143,145,149,151,152,155,161,93,111,113,92,112,152,99,115,171,116,90,159,155,154,153,152,151,132,136,139,142,146,149,150,155,155,159,166,102,113,119,92,113,166,104,130,166,112,96,164,159,158,156,155,154,134,138,141,144,149,152,154,158,157,163,165,100,105,133,103,114,166,103,140,170,112,101,167,161,161,160,159,158,138,141,144,148,152,154,157,160,159,168,173,114,97,123,90,106,145,90,151,172,115,111,171,162,163,164,163,162,140,144,146,150,155,157,159,163,162,169,181,118,86,109,90,111,127,108,158,158,107,121,175,165,167,166,164,163,143,146,148,152,157,160,161,165,164,171,178,122,113,145,134,144,148,137,126,148,102,129,176,167,169,168,167,166,144,147,151,155,158,161,164,168,166,177,187,148,122,121,158,171,179,145,92,118,91,136,178,171,171,171,169,168,146,149,153,156,159,162,166,170,167,185,177,133,109,81,104,129,146,165,127,73,70,152,180,172,173,173,171,170,148,151,155,159,162,164,168,172,169,190,172,131,99,89,93,105,145,186,163,96,64,167,179,175,175,174,174,173,149,153,157,161,164,167,170,173,172,193,178,130,105,107,112,143,160,180,184,128,74,165,183,178,177,176,175,176,151,155,158,161,165,169,172,174,175,195,174,128,104,114,119,171,182,166,165,132,78,146,188,178,179,178,177,177,154,157,160,164,168,170,173,174,177,193,173,136,111,123,136,191,189,164,133,107,72,146,190,180,180,179,179,178,154,158,162,166,170,172,174,177,178,191,176,139,124,119,150,198,185,150,121,88,69,162,189,181,182,182,181,180,156,160,163,166,171,173,176,178,179,187,172,139,130,117,149,195,171,137,111,77,94,188,184,185,184,182,182,183,157,161,164,167,170,172,177,181,180,182,172,146,140,121,141,184,156,126,98,67,132,196,183,185,186,184,184,184,159,161,166,169,172,175,177,180,181,179,169,150,146,125,138,178,146,116,87,71,166,192,186,187,187,186,185,186,160,162,166,169,173,176,179,180,183,183,175,152,146,118,131,165,135,108,76,89,190,188,189,188,188,188,188,187,159,163,167,171,174,176,178,182,181,185,179,154,140,106,123,140,112,99,68,126,199,190,191,189,189,189,189,188,158,162,166,170,174,175,177,182,176,188,181,169,139,110,126,127,106,86,83,179,193,191,191,189,190,190,189,188,159,162,166,169,174,178,179,179,177,189,182,172,145,121,126,117,101,70,140,197,189,191,191,189,190,190,189,188
11,141,145,147,150,152,155,156,158,158,159,159,159,158,159,159,159,158,158,157,155,155,153,153,151,149,147,146,145,143,145,149,152,153,156,158,159,160,160,160,161,160,160,160,160,159,159,158,157,156,155,153,152,151,149,148,146,145,148,151,153,155,158,160,162,163,163,163,163,166,141,154,162,161,160,159,158,157,157,156,154,153,151,149,127,148,151,153,157,158,161,162,164,165,166,166,164,181,137,126,164,163,163,161,160,159,159,157,155,154,153,147,72,151,155,156,159,162,164,165,167,168,168,168,166,192,143,111,167,165,165,165,163,162,161,159,158,156,156,118,48,153,158,159,162,165,167,167,169,170,171,170,168,201,136,108,169,168,167,166,165,164,163,161,160,159,156,88,51,156,159,161,166,168,170,171,172,174,174,173,176,214,131,121,171,170,170,169,167,166,164,164,163,163,155,74,54,159,163,166,168,170,172,173,174,176,166,178,172,192,122,130,174,174,173,172,170,169,168,167,167,166,160,97,66,160,165,168,170,173,175,176,194,183,121,158,141,105,133,105,162,177,175,175,173,172,170,170,169,167,166,119,69,163,166,169,172,175,177,195,214,193,151,101,116,88,105,94,140,179,177,176,176,175,172,173,172,171,169,143,67,165,169,172,175,178,192,222,184,183,170,110,94,89,112,98,143,180,180,179,178,177,177,175,174,173,172,166,88,167,171,174,176,185,220,199,147,136,166,108,86,84,113,99,148,183,182,182,181,180,180,177,176,175,174,172,127,169,172,175,177,208,220,172,138,141,151,83,88,82,108,95,159,186,186,184,183,182,181,180,179,177,176,174,151,171,174,177,179,221,210,155,113,119,123,76,90,78,102,88,175,188,187,186,185,185,183,181,180,180,178,175,148,172,176,179,179,226,213,170,121,83,81,89,78,86,102,95,186,190,189,188,187,187,184,182,182,181,180,178,168,174,177,181,183,234,214,164,110,76,60,97,69,108,102,76,171,191,190,189,188,184,177,171,170,177,182,181,178,175,178,182,189,240,213,162,117,83,64,75,63,111,97,65,100,178,185,173,152,139,130,125,114,110,155,182,180,177,181,184,195,238,209,165,127,93,74,78,81,98,99,95,97,106,119,124,137,139,123,108,100,93,127,183,182,178,183,186,195,234,206,166,130,99,79,84,118,140,141,131,119,107,114,123,125,111,99,124,162,174,178,185,183,180,184,188,198,234,209,173,137,106,86,95,138,141,133,126,120,105,97,98,108,142,167,188,191,190,187,186,184,182,186,189,204,232,212,180,140,117,96,108,135,135,127,113,105,90,89,135,185,194,194,194,193,192,189,187,185,183,188,188,219,233,213,179,138,118,102,109,121,124,116,98,90,111,170,197,199,197,196,196,194,193,191,188,187,185,187,194,233,227,199,163,128,109,102,108,108,111,105,89,136,193,201,201,201,199,198,197,195,195,193,190,188,186,189,226,234,215,186,151,122,105,103,107,97,97,94,146,201,203,203,202,202,201,199,198,196,195,194,192,190,186,200,236,226,200,177,145,124,109,102,98,88,120,178,204,206,204,203,202,202,201,200,199,198,195,194,193,191,185,214,235,219,177,149,136,121,106,95,84,114,194,208,209,207,206,205,204,204,202,201,200,199,198,196,194,192,187,225,234,210,157,126,118,110,95,86,94,183,209,209,209,208,207,206,205,204,203,202,201,199,199,197,195,193,200,232,231,198,136,118,111,102,86,80,156,210,213,212,211,210,208,207,206,205,204,203,202,201,199,198,196,194
4,114,120,134,144,149,154,157,161,163,166,167,168,171,173,176,179,179,180,182,182,183,185,185,186,186,186,186,187,115,122,136,145,150,155,158,162,165,166,168,171,172,174,175,178,181,183,183,186,185,186,186,188,188,187,188,189,116,124,138,146,150,155,159,163,166,167,166,168,172,177,182,177,166,176,182,174,183,190,187,189,190,190,190,190,117,124,139,147,152,156,160,164,167,166,182,184,167,170,207,186,140,120,167,145,127,186,191,189,191,191,191,191,117,126,141,147,153,157,160,163,171,173,170,196,193,145,166,178,134,100,128,146,105,153,199,189,192,192,192,191,117,128,142,147,154,157,162,161,194,192,165,151,162,139,124,159,127,97,142,151,102,141,201,190,193,193,194,193,118,130,143,149,155,159,160,174,206,200,181,154,114,113,121,183,133,105,171,138,88,151,201,191,194,195,195,196,119,132,144,149,155,160,157,191,189,169,176,134,107,100,116,171,141,168,174,140,95,166,200,192,195,196,197,197,120,134,146,149,155,161,158,197,171,156,172,115,98,107,92,132,165,181,160,161,133,157,201,194,196,196,197,198,121,135,146,150,156,161,162,207,182,170,161,124,88,133,155,164,167,157,152,173,157,137,168,204,197,198,198,199,123,138,147,152,157,158,171,209,172,152,144,125,75,138,168,151,151,121,148,185,174,165,130,173,205,197,199,200,124,139,147,152,158,156,179,202,163,142,126,103,80,83,111,118,109,106,146,173,185,175,148,122,185,203,200,200,126,140,148,153,159,155,194,209,173,152,138,118,96,85,90,92,128,188,184,180,177,163,158,124,140,207,199,202,127,140,148,154,160,156,208,206,173,165,143,119,105,103,131,170,198,204,190,180,164,139,141,123,141,208,200,203,127,141,148,154,159,159,216,207,189,171,142,128,115,125,181,202,206,205,191,170,154,129,124,115,177,206,202,203,127,142,149,154,158,163,223,210,193,166,142,139,121,156,198,198,206,202,183,161,142,126,111,134,206,202,203,204,130,143,149,155,159,162,219,211,188,164,151,151,137,175,195,195,201,194,173,152,136,122,105,179,209,202,204,205,132,144,149,156,161,164,218,208,185,173,172,160,157,183,192,198,191,179,161,143,132,112,134,208,202,204,204,206,132,145,150,156,161,163,208,208,195,187,180,163,165,186,191,191,177,164,150,135,124,107,183,209,203,205,206,206,134,144,149,156,162,160,196,213,205,194,178,161,151,172,179,175,164,152,141,130,108,141,209,204,205,206,207,207,136,144,149,156,163,162,184,213,197,189,176,156,143,160,168,165,152,141,133,120,112,193,207,206,207,207,208,208,137,146,150,156,163,165,175,208,188,176,166,149,149,159,169,164,149,136,129,106,161,210,204,207,208,208,208,208,138,145,150,158,163,166,172,199,177,170,161,151,166,155,156,159,142,129,113,121,204,206,206,207,208,209,209,209,139,145,152,158,163,168,170,202,180,176,166,169,174,156,144,149,136,124,104,167,211,204,205,206,209,209,210,210,138,146,153,158,164,165,196,196,195,179,173,171,163,151,137,139,131,120,106,192,208,204,206,209,209,209,210,211,140,146,152,160,159,181,209,192,173,179,178,169,154,146,133,130,124,117,103,190,209,204,207,209,210,210,210,211,141,145,153,158,164,210,198,203,181,137,167,162,149,142,122,121,120,113,104,192,208,207,208,209,210,210,211,211,141,146,155,155,186,209,195,197,209,167,121,144,145,136,115,119,117,110,100,189,208,208,209,210,211,211,211,212
11,128,130,134,136,139,140,143,144,146,147,146,147,147,147,146,147,147,146,146,145,144,142,140,140,139,138,135,133,129,133,135,138,140,142,145,146,147,148,149,148,147,149,150,148,147,147,146,146,145,144,141,141,140,139,137,135,132,135,138,140,143,145,147,148,150,150,151,150,151,143,134,152,148,148,148,146,145,145,144,142,141,140,138,139,135,138,140,143,145,148,150,151,152,152,153,151,157,159,92,152,152,150,150,149,147,147,146,144,142,141,145,123,138,141,143,145,148,151,153,153,154,154,155,152,162,172,84,146,156,152,152,152,151,150,147,146,144,144,145,78,138,143,146,148,151,153,154,154,156,156,159,152,173,169,73,147,158,155,153,152,153,152,150,148,146,150,131,50,141,144,146,151,153,155,157,158,160,162,158,156,195,163,76,157,159,157,156,155,154,153,152,152,150,155,118,39,144,147,150,153,155,157,160,160,160,151,173,147,190,152,86,165,159,159,159,159,156,156,155,154,152,156,129,59,146,150,153,155,157,161,156,186,168,101,153,130,91,134,90,146,166,161,161,161,160,159,157,158,155,154,148,75,148,151,154,158,161,156,182,202,186,144,87,115,77,102,85,118,173,162,163,163,162,161,160,160,158,156,157,94,150,153,157,160,159,172,215,161,169,167,98,85,82,115,91,126,175,165,165,165,164,163,163,161,160,158,161,135,152,155,158,161,163,206,191,127,125,164,89,80,75,113,90,132,177,167,169,168,166,166,164,163,162,161,160,155,153,157,161,158,186,213,157,119,142,141,63,87,75,104,82,144,177,170,171,171,168,168,167,165,164,163,162,159,155,158,163,159,197,203,144,96,109,115,65,84,74,100,78,163,176,171,172,171,170,168,167,165,165,165,163,162,156,160,163,159,202,205,158,113,70,71,95,66,85,98,83,178,174,173,173,172,172,171,169,169,167,165,166,163,157,162,165,163,212,203,151,102,70,57,101,64,112,104,58,145,186,175,177,178,173,167,163,161,168,173,167,165,159,163,166,168,221,201,151,111,77,60,69,56,104,91,50,73,163,176,165,147,135,126,123,112,103,139,172,166,160,165,166,174,222,198,154,120,88,70,72,78,93,96,92,90,96,113,118,131,138,124,101,92,76,93,175,167,161,166,167,176,220,194,155,123,93,75,77,116,141,141,130,119,103,105,123,122,104,87,104,145,157,162,171,169,163,168,169,176,219,196,163,131,102,81,93,139,137,125,120,114,101,91,86,90,122,150,177,183,179,176,172,170,165,169,169,182,217,199,170,132,113,90,106,132,131,121,105,102,79,71,118,173,186,184,179,176,177,176,173,170,166,173,167,194,221,200,167,129,112,95,103,115,120,112,93,75,95,157,189,186,181,179,180,179,178,177,175,173,167,171,170,214,213,184,151,121,102,95,105,101,108,101,72,122,188,191,183,184,183,182,181,180,179,179,177,174,169,168,205,221,201,174,141,115,99,99,102,91,86,81,138,197,190,186,185,184,184,183,182,180,179,180,178,176,167,176,222,210,188,167,137,120,106,97,93,74,107,174,197,189,189,189,186,185,185,184,183,182,181,180,178,177,164,189,221,204,164,136,130,118,99,90,70,95,188,197,189,190,190,190,189,187,186,185,184,183,183,180,179,177,166,202,219,196,145,116,111,105,89,76,78,174,197,191,193,192,192,190,190,187,187,186,184,185,184,180,179,178,176,215,216,184,124,110,106,96,81,66,144,201,192,196,195,193,193,191,190,188,188,187,186,186,185,183,181,180
1,167,167,168,168,169,170,170,169,170,170,169,170,169,169,168,165,166,167,164,161,160,160,159,157,157,155,152,150,172,172,171,172,172,173,173,173,174,174,173,173,172,172,171,172,168,156,166,166,165,164,163,160,159,158,155,153,176,176,176,176,176,177,177,177,178,177,176,177,176,175,172,165,180,117,145,181,166,167,166,164,163,160,158,158,181,180,179,180,180,180,180,180,180,180,180,181,179,178,184,125,161,125,107,154,172,170,168,166,165,163,161,161,184,182,182,182,183,184,184,184,184,184,184,184,182,183,186,110,156,120,65,92,151,178,171,170,168,167,165,162,186,186,186,185,186,186,186,187,186,186,187,187,188,190,174,101,166,100,91,117,121,185,171,172,172,169,167,165,188,189,189,189,189,189,191,190,188,187,189,184,156,190,162,105,181,102,113,129,106,187,174,175,174,172,170,167,193,192,192,192,193,193,194,193,193,192,191,185,114,169,160,122,176,89,125,137,108,189,178,179,176,174,173,171,194,195,194,195,196,194,194,194,195,194,194,181,106,171,132,140,162,85,151,145,109,189,181,181,179,177,176,174,197,197,198,197,197,197,196,196,197,195,201,168,106,177,117,158,162,101,174,132,108,193,182,183,182,180,179,176,199,200,200,200,200,201,200,200,200,199,202,157,102,188,120,159,167,99,170,129,113,196,184,185,184,183,181,178,201,200,201,202,201,202,203,202,201,202,204,137,104,194,107,145,152,84,173,139,123,199,188,187,186,185,183,180,204,203,203,203,203,203,203,204,204,203,205,135,106,180,84,141,136,84,182,129,121,202,190,189,188,187,185,182,205,205,205,205,205,206,206,206,205,207,199,121,113,164,127,158,159,113,133,115,125,204,192,192,190,187,185,184,206,207,208,207,207,207,208,207,207,207,183,150,154,128,141,144,145,141,119,102,102,197,195,194,193,191,189,187,208,208,209,209,208,208,209,209,208,205,191,163,127,111,117,138,152,129,120,137,93,174,204,195,195,192,189,188,209,209,210,210,209,209,210,210,209,209,187,137,104,111,117,152,158,133,173,171,104,142,211,195,195,193,191,189,210,210,211,211,211,210,212,213,210,203,184,134,100,122,129,160,169,182,144,172,141,118,208,198,198,196,194,192,210,211,212,213,213,213,213,214,211,197,191,148,96,111,146,167,177,191,160,154,141,90,196,202,199,197,196,194,213,213,214,214,214,215,214,215,210,193,197,161,112,100,146,172,179,178,161,142,102,72,198,203,200,199,197,194,215,215,215,215,215,215,215,217,212,187,194,164,125,100,137,188,194,189,155,126,80,106,215,201,202,201,199,196,215,215,216,216,216,216,216,218,215,185,179,164,132,111,149,201,191,179,141,110,65,168,215,202,202,201,200,197,215,215,216,216,216,217,216,218,218,192,180,164,142,123,162,196,182,159,125,87,85,212,207,205,203,203,202,198,213,214,216,215,215,216,216,216,220,200,176,173,156,127,161,185,170,139,107,60,140,220,205,206,203,203,201,199,213,214,215,216,216,216,217,216,219,207,177,177,159,133,150,160,140,113,73,70,204,209,207,205,202,201,199,196,215,215,216,216,216,217,217,216,220,206,183,177,157,137,140,143,115,84,53,170,217,207,208,206,202,202,199,197,214,215,216,217,216,216,217,217,220,194,189,177,169,152,131,124,92,53,159,224,208,210,208,207,205,204,207,197,214,215,216,217,216,216,218,220,213,180,195,182,178,150,127,102,59,96,223,210,213,210,208,207,206,190,160,106
7,246,246,247,247,246,246,246,246,245,244,243,241,240,239,237,236,236,234,232,230,228,227,224,222,221,217,215,213,248,248,248,248,248,248,248,248,247,246,246,245,244,242,241,240,238,238,236,232,231,230,229,226,223,221,217,215,249,249,249,250,251,250,250,250,249,249,249,247,246,245,243,241,240,240,238,235,233,231,231,228,224,224,221,219,250,252,251,251,254,253,252,253,252,251,250,250,248,247,245,242,244,242,242,243,239,237,235,230,228,227,223,221,254,254,254,254,255,254,255,255,254,253,250,250,250,252,251,251,247,240,232,221,220,216,229,236,231,229,226,224,255,255,255,255,255,254,254,255,254,255,255,255,251,236,225,207,203,199,174,166,222,214,187,236,233,232,229,226,255,255,255,255,255,255,255,255,255,248,233,215,198,186,158,172,173,160,157,157,187,171,182,248,237,233,230,227,255,255,255,255,255,250,234,215,207,194,183,173,176,167,147,149,142,128,136,116,105,145,181,181,222,237,232,230,255,255,255,252,216,186,174,176,180,186,183,175,163,136,140,133,131,136,137,132,131,119,108,134,154,236,235,231,255,255,249,217,203,171,156,170,157,150,146,144,148,158,174,164,126,141,150,125,120,103,96,122,125,230,239,234,255,239,218,219,205,167,145,133,130,142,159,179,188,182,169,149,107,112,111,86,88,90,99,125,189,243,237,235,227,210,216,215,201,191,179,182,183,191,195,179,172,159,147,113,87,96,128,160,192,215,236,248,249,241,239,236,207,211,215,209,206,202,182,170,159,161,156,136,130,126,121,137,177,224,255,255,255,255,250,246,244,242,240,237,212,218,212,212,213,190,145,108,119,118,100,86,74,122,247,255,255,255,255,253,252,250,248,248,246,242,239,237,220,218,215,209,184,165,110,85,94,76,67,66,67,58,129,255,255,255,255,255,255,252,249,249,248,244,239,236,217,219,209,180,171,154,120,108,83,69,70,67,69,52,116,255,255,255,255,255,254,249,248,247,245,241,243,247,219,216,195,178,168,163,170,167,107,72,75,78,60,125,255,255,255,255,255,254,252,248,246,243,243,249,228,179,221,208,180,164,158,163,176,153,88,70,66,48,101,255,255,255,255,255,255,255,253,250,252,255,242,204,112,71,209,176,147,148,145,145,147,107,75,62,60,59,90,255,255,255,255,255,255,254,255,255,225,176,120,78,71,65,176,157,153,157,149,134,121,103,93,71,74,52,149,255,255,255,255,255,255,255,199,130,95,73,67,69,72,60,163,166,164,158,133,102,105,126,113,74,60,152,255,255,255,255,204,188,186,143,89,80,67,69,69,70,71,56,165,155,135,111,95,100,120,131,93,66,107,194,196,181,165,113,70,71,62,69,65,75,72,47,59,69,71,56,143,118,109,109,110,110,105,83,75,118,132,112,97,93,93,65,49,72,55,68,58,55,64,39,47,62,70,50,130,125,127,121,105,92,84,90,134,156,128,104,92,84,73,74,40,57,53,50,53,53,53,35,42,57,65,41,115,111,108,99,89,92,119,144,143,121,99,82,75,66,63,59,48,36,54,41,47,48,45,34,41,56,61,37,86,95,103,108,122,137,143,141,127,79,68,73,68,55,60,54,52,28,43,39,40,48,40,34,45,52,60,32,137,143,147,153,145,139,138,128,88,69,52,60,65,50,52,45,48,26,30,40,36,49,36,34,46,50,55,29,143,145,142,146,140,138,129,101,58,57,53,47,62,41,44,37,42,33,24,38,38,48,32,39,45,53,54,25
21,171,173,175,180,183,184,184,185,186,190,190,187,188,188,188,190,189,188,188,187,187,187,187,185,183,183,181,181,173,175,178,181,183,185,187,188,189,189,188,190,189,190,192,192,190,190,189,189,190,189,187,187,186,184,183,182,175,178,180,182,185,187,189,189,190,188,224,191,165,195,195,195,194,193,192,192,192,191,190,189,188,187,186,185,178,180,182,185,188,188,190,191,193,191,236,217,141,182,199,195,196,196,196,196,195,194,194,194,191,189,189,187,180,182,185,187,190,191,192,195,197,191,211,242,153,153,203,196,198,199,198,198,197,196,197,183,194,192,192,188,182,184,187,189,192,195,195,196,197,196,197,243,205,154,191,200,200,201,200,201,196,211,201,128,188,196,194,193,183,186,188,192,194,197,196,198,199,200,193,236,243,165,168,207,202,202,202,203,196,229,187,119,193,198,196,196,185,188,191,194,198,199,199,201,201,203,199,223,252,177,148,205,204,203,205,200,212,235,162,140,206,197,198,198,186,188,193,196,198,200,201,202,203,203,203,208,253,198,145,195,208,205,206,202,233,224,145,170,210,200,200,199,189,190,194,196,199,201,202,203,204,206,205,226,236,217,142,178,214,208,205,213,231,195,127,194,206,202,203,201,190,193,196,198,201,204,204,204,204,200,219,255,233,214,149,124,209,211,206,233,227,158,141,213,204,204,204,201,192,195,197,201,203,204,205,207,206,226,227,230,243,211,182,145,170,214,218,237,218,135,184,215,206,206,206,203,194,196,200,203,204,204,207,209,212,255,230,203,250,233,224,219,158,160,204,211,175,135,214,209,210,207,205,204,196,199,202,204,205,208,211,207,224,228,232,216,166,170,238,227,167,111,152,167,125,168,221,210,212,210,207,206,197,201,204,205,209,211,214,208,228,232,169,146,101,90,178,237,185,122,117,130,112,203,216,212,212,211,209,209,198,203,205,207,211,213,215,209,235,219,169,170,136,115,130,244,218,149,103,105,126,220,215,214,212,212,210,209,200,203,206,209,211,213,215,211,242,245,218,180,139,145,134,227,246,172,111,88,148,226,216,217,215,214,213,211,202,204,208,210,213,214,216,213,253,248,189,158,143,166,166,240,255,196,134,85,156,228,216,217,217,216,215,214,204,206,209,210,213,216,218,218,254,232,183,168,175,184,201,255,250,204,151,96,154,231,217,219,218,217,216,216,204,208,211,212,215,217,219,219,255,246,207,194,191,196,234,255,241,199,155,96,157,232,218,220,220,219,218,217,203,208,211,212,214,216,219,218,255,251,219,193,206,215,250,255,241,191,160,102,156,234,220,223,222,221,220,218,204,208,211,212,214,217,221,217,252,255,228,199,207,227,255,255,241,191,155,101,166,233,220,221,221,220,219,218,206,209,211,213,216,219,221,217,249,255,230,217,210,238,255,251,231,186,150,98,174,235,220,222,223,221,219,217,206,210,211,215,218,220,223,220,244,255,237,238,226,243,255,249,222,186,143,96,171,238,223,224,224,224,221,220,207,209,211,217,219,220,223,222,233,255,249,247,240,235,255,229,211,180,132,91,172,239,224,227,225,223,226,218,207,210,213,218,221,223,225,225,225,255,255,250,236,223,236,208,195,177,125,87,182,239,225,229,230,234,224,144,210,214,217,222,223,226,227,228,226,250,255,245,216,198,211,200,189,181,117,87,212,236,228,232,226,176,122,89,187,193,198,201,204,207,211,218,200,212,255,230,195,171,189,203,183,170,94,107,237,228,232,224,144,96,90,82
6,147,148,148,147,147,148,148,148,148,147,147,146,145,145,144,145,144,144,143,142,140,140,140,139,138,138,136,135,149,149,149,149,149,149,149,149,149,148,147,147,146,147,146,145,144,145,144,143,142,141,141,140,139,138,137,136,151,151,151,151,151,150,150,151,150,149,149,149,149,147,147,146,146,146,145,144,143,142,142,141,140,139,139,137,152,152,153,152,152,152,151,151,151,151,151,150,149,148,148,147,147,146,145,144,144,143,143,141,140,139,139,137,153,153,154,153,153,153,153,153,152,152,151,151,151,150,149,150,149,147,146,146,145,144,144,142,141,140,140,139,153,155,156,155,156,156,155,154,153,153,152,152,152,150,150,151,150,148,147,147,146,145,145,143,142,141,140,140,154,156,157,157,157,157,156,156,155,154,153,152,153,152,152,151,151,150,149,148,148,147,146,147,145,142,140,140,156,157,158,157,158,157,157,157,157,159,158,157,154,155,155,155,154,152,150,148,146,143,136,133,141,142,143,141,157,159,158,158,158,157,159,158,153,144,140,145,145,136,128,124,119,127,128,128,120,122,104,116,153,130,132,143,158,159,160,161,160,160,153,140,132,118,107,102,103,125,117,107,98,106,125,127,117,116,110,110,136,103,129,146,159,161,164,162,152,142,122,119,125,123,123,104,61,91,111,109,83,98,100,97,89,74,76,83,97,121,145,144,162,160,151,139,129,123,118,114,119,125,119,80,51,39,53,56,57,71,79,92,95,112,123,133,144,149,146,144,149,139,130,125,119,116,113,107,111,117,108,76,46,39,43,69,97,127,149,152,156,158,156,154,151,148,147,146,141,137,130,122,117,117,116,112,112,114,117,101,59,30,95,163,160,162,157,156,154,153,153,152,151,149,148,146,149,138,129,123,119,118,117,112,112,115,117,99,59,37,55,161,159,157,157,156,155,155,155,152,151,151,149,148,139,132,130,124,118,118,116,118,114,115,114,103,61,44,30,124,168,158,159,158,157,156,155,154,152,151,151,149,132,130,128,121,120,119,119,119,120,122,121,111,70,43,32,82,170,158,159,158,157,157,156,155,153,151,150,150,140,122,120,123,128,124,119,113,109,111,112,96,66,44,38,42,160,163,159,159,158,157,157,155,154,152,151,151,134,117,118,126,129,129,117,113,107,105,98,81,64,50,34,71,166,162,161,160,160,158,158,157,155,153,152,152,114,107,120,124,122,120,114,105,99,105,96,70,64,58,33,143,170,161,161,161,161,161,159,157,156,156,153,152,79,93,106,118,112,105,97,89,81,81,69,61,61,64,36,147,167,162,162,161,160,159,159,157,156,154,153,151,30,52,74,99,96,85,77,71,65,47,34,48,67,67,29,134,170,161,162,161,160,159,158,157,155,153,153,151,27,10,15,39,59,62,49,45,46,39,38,59,64,53,46,152,166,163,163,161,161,159,158,157,156,154,153,152,30,18,0,4,4,21,68,92,74,49,47,66,78,123,152,166,163,164,162,162,161,161,158,158,158,155,153,152,26,25,1,6,0,98,181,174,167,138,121,132,160,172,169,165,164,164,162,162,161,161,159,158,157,155,153,151,24,26,4,0,22,170,172,168,171,175,175,173,169,165,166,166,165,164,163,162,161,159,159,158,159,162,163,161,29,22,1,0,113,180,167,170,170,169,167,167,168,168,167,166,165,164,164,166,167,167,163,159,153,127,102,104,30,11,0,52,182,168,170,169,170,169,169,169,167,167,167,166,165,166,164,143,114,102,87,70,52,29,15,14
12,149,153,156,159,161,164,166,168,171,173,176,178,182,184,183,182,184,186,186,186,187,188,186,187,187,189,190,189,151,154,158,161,163,166,168,170,172,175,178,180,182,184,184,186,186,186,182,179,186,190,189,190,190,190,190,190,153,157,160,162,164,167,170,172,174,176,181,182,184,168,151,169,188,191,166,135,143,192,191,191,193,192,193,190,154,158,161,163,166,169,171,173,177,179,181,186,202,174,152,126,190,200,172,144,98,179,170,165,174,193,194,194,156,159,162,165,166,170,172,175,178,180,182,197,217,193,169,126,166,203,170,152,109,110,146,141,117,166,196,195,157,160,164,166,168,171,174,178,179,181,183,203,221,204,171,135,161,208,173,154,108,87,156,140,111,98,196,196,159,162,165,168,170,173,176,179,181,182,185,203,217,215,181,150,158,214,177,148,96,100,166,139,96,74,182,197,160,163,166,169,172,175,177,180,183,184,186,189,180,207,190,156,144,207,168,132,81,112,167,135,91,71,171,200,162,165,167,170,173,176,179,181,183,186,195,166,127,144,182,138,126,187,144,120,82,103,157,132,94,70,166,202,162,165,169,172,174,177,180,182,185,204,199,150,124,98,151,121,109,169,137,120,84,99,151,131,97,69,167,204,164,166,169,173,174,178,181,182,199,198,190,159,134,97,113,114,92,158,135,107,82,100,155,135,100,67,181,202,164,168,170,173,175,179,182,185,199,170,185,170,137,105,78,109,106,145,156,119,93,122,193,157,108,76,196,202,165,169,172,174,177,180,183,190,199,166,165,164,135,105,66,107,119,134,169,130,97,143,194,166,90,73,188,203,166,170,173,175,178,181,183,194,195,170,143,156,139,102,62,76,102,84,136,128,78,121,149,107,82,85,116,204,167,171,172,175,179,182,183,198,197,171,138,158,133,93,70,40,45,38,113,159,154,166,157,127,109,97,89,197,168,171,173,177,180,183,184,201,199,168,142,143,125,91,77,39,53,87,171,193,188,178,161,130,108,93,94,200,169,172,175,178,181,183,185,202,198,170,140,121,126,100,87,52,74,148,193,198,191,172,151,124,101,87,109,208,170,173,176,179,182,185,187,203,199,178,155,126,113,113,94,80,121,190,202,207,187,162,142,118,96,85,126,210,170,173,176,180,183,185,187,204,198,184,167,152,127,112,111,137,165,205,210,210,178,152,133,109,91,86,171,209,171,174,177,181,184,186,187,202,202,190,173,164,154,138,135,157,170,208,211,200,165,140,125,104,88,108,204,210,171,174,177,180,183,186,188,197,200,193,179,171,167,154,139,152,167,210,207,184,157,132,116,97,83,143,209,210,170,173,176,178,182,187,189,193,194,192,184,176,169,158,143,139,172,211,198,170,148,124,105,92,82,177,210,210,170,172,176,179,183,187,189,191,188,190,186,178,172,159,142,131,171,197,183,153,133,113,97,87,94,201,210,210,171,173,177,180,184,187,189,190,191,192,188,179,171,158,143,126,165,180,163,137,120,102,90,83,139,208,210,211,171,174,177,181,185,187,189,191,192,195,184,172,165,149,133,121,156,161,140,124,107,92,87,93,191,210,210,211,171,174,177,180,184,187,189,192,189,193,175,157,149,132,115,121,147,148,126,115,99,90,87,149,208,210,210,211,171,174,178,180,184,187,189,190,188,195,170,152,141,118,116,122,143,141,123,110,96,88,101,196,210,210,211,211,171,174,178,182,185,187,190,187,194,199,171,159,143,124,127,132,148,137,122,100,88,82,149,207,211,212,212,212
4,196,198,200,201,203,203,202,202,202,203,204,204,203,207,208,205,203,207,208,204,203,204,204,203,202,202,202,201,199,201,202,203,205,206,204,204,206,205,207,207,205,197,190,202,210,190,184,209,210,204,207,207,204,203,204,204,202,204,203,205,207,208,207,207,209,208,203,205,217,202,166,151,176,183,152,148,199,213,208,209,208,206,206,206,204,204,205,207,209,209,210,211,208,204,188,169,164,213,219,165,99,124,180,124,86,205,213,209,211,209,210,209,207,206,207,209,209,211,212,212,218,226,223,180,117,112,218,164,110,44,115,137,54,167,224,210,211,212,212,212,209,211,212,212,211,207,208,172,151,197,198,206,136,59,163,179,105,47,66,130,65,150,229,213,213,214,213,211,213,213,213,213,212,219,221,167,86,81,135,214,173,71,83,193,158,70,40,161,90,144,231,215,216,216,215,214,214,213,213,214,218,195,185,182,112,51,53,199,216,108,47,196,193,102,40,152,123,157,230,217,218,217,217,217,213,215,216,215,214,203,133,162,169,100,18,148,219,116,53,151,194,116,43,95,101,170,232,218,220,219,220,219,215,217,218,218,218,209,124,113,175,122,58,89,119,96,71,81,126,92,50,71,66,88,229,220,223,221,219,220,218,218,218,218,222,215,192,161,135,96,62,82,82,88,100,101,91,76,67,111,116,75,165,236,219,222,221,220,218,219,220,221,223,226,199,166,128,97,82,94,93,94,121,112,114,75,115,170,159,136,102,219,227,224,224,223,220,220,222,222,225,228,189,154,129,105,107,107,113,136,136,158,177,184,135,167,176,150,77,145,242,222,225,223,220,222,223,223,226,223,180,136,119,97,108,127,141,170,189,200,221,220,204,181,156,112,72,76,225,228,225,226,222,224,225,224,225,230,199,159,128,112,125,136,144,215,203,205,217,209,199,177,143,99,71,62,208,234,225,227,223,226,227,227,224,234,217,173,136,116,121,135,168,222,202,211,211,210,192,170,144,101,66,85,232,228,227,228,224,226,228,229,226,228,225,189,156,122,121,145,169,222,213,223,225,210,192,171,138,98,53,149,245,228,231,230,225,227,228,228,228,227,232,209,169,131,135,161,159,218,224,232,232,220,202,164,120,91,59,211,241,233,232,231,226,228,228,229,229,226,230,222,180,143,148,176,165,212,228,238,239,240,202,151,112,71,99,244,234,235,232,231,227,228,229,230,232,226,222,230,196,147,156,174,178,215,227,243,245,234,185,139,112,52,163,249,233,235,234,234,228,230,231,231,233,224,211,219,206,159,158,171,178,221,227,240,237,202,158,127,98,62,220,241,236,236,235,234,228,230,232,232,235,225,203,220,215,181,160,165,178,214,227,220,209,175,142,117,69,110,251,235,236,236,235,235,228,230,232,233,235,236,206,211,216,198,176,171,180,200,218,205,179,156,122,93,63,203,248,237,239,238,237,237,226,228,229,229,231,237,222,195,204,200,185,178,175,175,185,177,152,124,94,56,142,252,235,238,240,239,237,237,227,229,229,230,231,235,231,196,202,196,184,179,166,156,165,163,137,100,67,68,231,239,238,237,238,237,235,235,229,230,231,232,231,235,231,200,201,186,176,173,158,140,147,149,114,80,52,120,252,234,239,239,238,238,238,237,229,231,233,233,234,234,233,204,196,160,151,163,150,145,145,130,96,78,47,167,250,237,241,239,237,238,238,236,230,231,234,235,234,235,235,206,206,172,169,182,171,160,144,124,101,82,50,197,244,238,240,239,239,239,239,236
15,90,87,85,85,86,88,89,89,91,99,109,119,125,132,137,141,141,145,148,152,156,159,162,164,166,168,171,172,89,86,85,86,86,87,89,89,92,100,109,119,126,133,138,142,142,145,149,153,157,159,163,165,166,169,171,173,89,86,86,85,85,88,91,90,92,101,111,119,126,133,138,142,143,145,150,154,158,161,164,166,168,171,172,174,89,87,85,85,87,87,86,88,92,102,112,119,127,134,138,142,144,146,150,154,158,162,166,167,170,172,173,175,89,87,86,87,85,90,113,99,95,101,112,120,127,134,141,144,144,145,150,154,159,163,166,168,171,171,173,175,89,87,87,88,77,152,156,126,121,118,114,115,127,134,135,136,142,148,154,157,160,162,165,168,171,172,174,177,90,88,87,86,80,148,136,116,117,117,105,116,119,121,118,113,117,122,133,148,160,166,170,171,171,172,175,177,90,88,87,87,83,97,107,93,98,92,88,113,106,107,103,113,123,115,114,118,128,136,147,162,176,173,176,177,91,88,86,85,87,86,87,87,89,85,88,94,90,89,89,116,120,117,118,121,124,118,105,103,132,181,176,178,90,88,86,85,87,89,89,89,94,103,113,112,113,111,102,108,106,105,99,115,134,127,114,111,85,132,186,176,91,89,86,85,86,87,88,88,93,104,114,125,131,137,141,131,105,93,113,135,138,135,112,119,114,76,150,189,91,88,85,85,86,87,88,87,94,104,115,122,129,146,147,131,117,122,169,134,143,121,127,136,120,102,85,168,90,86,85,85,86,86,88,88,94,105,113,126,166,154,124,110,107,105,161,117,109,128,159,125,141,127,88,91,89,87,84,84,84,85,85,86,93,106,107,152,182,123,104,108,111,86,111,94,84,178,137,120,152,136,107,76,88,86,84,84,84,84,85,85,92,106,106,147,161,106,107,124,128,122,103,82,99,160,98,112,153,144,115,87,88,86,84,83,83,84,84,84,94,106,107,139,146,91,117,130,137,131,105,96,103,107,104,122,139,133,111,87,86,85,83,82,82,83,84,85,94,106,107,143,181,112,109,132,141,129,97,92,102,104,116,123,114,98,93,84,86,86,83,82,82,84,84,84,93,106,107,144,159,173,139,111,108,99,88,95,100,102,108,117,111,84,79,80,86,85,82,82,81,82,84,84,91,106,105,178,162,152,166,127,94,64,67,91,103,106,114,125,111,84,79,79,87,84,81,82,81,82,83,84,91,104,110,141,155,166,156,145,126,81,40,49,70,113,113,116,98,82,81,82,78,76,75,74,74,75,76,77,86,98,109,116,125,144,137,139,121,111,66,50,60,109,124,107,92,88,91,91,118,114,112,109,106,102,101,102,107,113,118,125,131,134,121,112,125,148,105,55,74,84,122,130,118,109,101,96,122,118,118,117,115,116,119,119,115,114,112,110,114,117,119,116,118,170,120,76,90,77,90,109,109,101,93,87,109,108,108,106,106,107,109,107,107,108,104,100,104,106,108,110,101,122,107,109,113,107,105,95,87,87,84,80,113,113,114,112,112,113,114,114,113,114,114,112,114,115,115,115,116,113,115,115,118,117,125,125,103,88,83,79,114,115,116,115,114,114,114,115,114,115,115,115,115,115,113,115,116,116,116,117,114,113,125,135,121,105,90,96,114,116,116,116,116,114,115,116,116,117,116,116,117,116,115,115,116,116,116,116,115,114,111,123,157,113,116,123,114,115,115,114,114,114,115,115,115,115,115,115,116,115,115,116,117,117,116,116,115,115,114,113,188,178,156,148
19,199,200,200,202,204,206,207,207,206,208,208,207,206,205,205,205,204,203,201,199,199,199,198,198,196,195,196,194,199,201,203,204,206,207,207,208,208,208,209,208,207,207,207,206,205,205,204,202,202,200,199,199,198,199,198,197,200,203,205,206,207,209,209,209,211,210,210,209,209,209,208,208,207,205,205,205,204,204,202,202,200,200,198,198,201,203,206,208,208,209,211,212,213,214,213,211,210,209,209,210,209,207,207,206,206,206,205,203,201,201,199,198,203,204,205,208,209,211,213,214,215,215,214,215,215,212,212,211,210,209,208,207,207,207,206,204,202,201,201,200,204,207,207,208,211,214,214,216,215,215,215,215,216,216,214,212,211,210,209,208,207,206,206,205,202,203,202,201,205,207,208,212,213,215,216,218,217,217,217,216,215,214,215,218,215,213,211,210,210,209,206,206,205,205,203,203,206,209,212,214,216,217,218,218,218,218,217,218,216,215,209,200,210,214,213,214,214,210,208,208,205,202,205,203,208,209,213,215,217,218,219,220,219,220,219,218,217,221,201,155,165,216,200,202,206,204,199,205,203,137,197,207,211,211,214,216,217,219,220,219,220,215,211,215,214,222,214,206,218,222,206,206,221,212,202,183,141,125,203,207,211,213,216,217,217,220,220,223,226,196,186,195,204,208,198,186,175,184,172,184,202,177,147,136,155,199,211,208,210,214,216,217,219,220,218,220,197,188,202,204,194,195,189,179,137,124,125,130,172,171,189,205,216,213,209,210,215,216,217,218,222,214,226,243,223,224,224,215,203,187,144,117,125,101,97,184,225,220,220,216,213,212,210,211,216,217,218,220,225,213,255,255,238,218,207,200,195,174,133,98,115,104,107,208,221,217,216,214,214,213,214,213,214,216,219,221,225,214,251,255,217,184,152,141,143,154,139,108,116,106,113,214,219,219,218,217,215,214,215,214,215,217,221,222,225,214,232,242,203,144,130,90,84,173,147,115,118,106,128,222,221,220,220,219,219,217,216,215,216,218,221,222,227,211,224,242,200,150,104,72,142,171,140,118,119,104,153,232,222,222,222,221,220,218,217,215,217,218,221,224,229,209,220,247,207,168,132,94,100,99,96,104,105,114,127,227,224,223,222,222,221,219,217,215,219,221,223,225,230,210,218,247,212,175,140,124,88,62,58,70,92,106,103,211,229,224,223,222,221,219,217,216,219,222,225,225,232,208,209,244,209,177,143,127,125,100,86,94,106,114,106,197,232,224,224,222,221,221,219,219,220,222,225,226,230,213,205,240,206,174,145,129,128,112,100,106,114,121,113,202,233,225,225,224,222,222,222,221,220,222,225,228,233,217,202,238,207,170,145,130,128,113,101,108,117,121,122,216,231,226,225,225,224,224,224,222,221,223,225,228,233,222,208,230,198,165,143,128,126,119,110,114,124,124,146,232,229,228,227,226,225,224,223,222,224,225,226,228,233,223,220,234,198,163,144,131,125,124,123,125,134,121,187,237,228,230,228,227,227,226,224,224,224,226,227,231,235,218,223,238,206,172,150,135,125,131,131,133,128,155,230,232,232,231,231,228,227,226,225,225,222,225,226,229,237,212,225,233,206,186,157,133,126,135,134,130,176,228,234,233,231,230,230,228,228,228,226,224,221,225,224,226,229,214,230,221,193,177,154,132,131,132,123,158,233,233,230,231,230,228,228,227,227,226,224,223,221,225,226,228,225,228,240,226,201,174,158,138,127,127,116,178,232,232,231,231,230,229,228,228,227,224,223,223
13,185,186,190,195,198,202,205,207,211,212,214,216,217,217,218,218,217,221,223,220,221,220,219,220,221,221,222,221,186,189,194,196,199,204,207,210,213,214,216,218,219,218,220,218,219,216,212,224,222,223,222,223,224,224,225,224,188,191,196,199,201,205,208,211,215,214,217,221,220,219,223,221,226,197,136,151,231,225,225,223,223,224,226,225,190,194,197,201,204,208,210,212,216,216,219,221,219,222,222,233,245,199,131,89,233,219,229,230,224,226,227,228,193,195,199,203,206,210,214,216,217,217,221,219,227,196,160,185,240,192,128,83,156,140,141,201,236,229,230,229,194,196,199,204,208,212,214,217,220,221,222,231,255,194,141,127,228,182,132,56,136,160,91,101,239,230,232,229,194,198,201,206,210,214,216,218,222,223,220,219,243,225,165,134,217,171,107,84,208,178,99,71,212,238,230,231,196,199,204,207,212,215,218,221,221,223,224,158,119,182,183,119,211,201,89,139,226,163,102,72,216,239,233,236,197,202,206,208,213,216,220,222,222,242,222,166,116,110,180,105,233,220,107,162,215,153,96,78,230,238,237,237,199,203,208,212,216,219,221,221,238,222,224,188,138,93,162,120,132,156,72,160,248,176,83,91,243,238,240,239,200,205,210,214,216,220,222,227,235,181,215,192,136,79,131,149,41,11,64,174,218,145,52,120,251,236,240,241,200,205,210,214,216,220,222,234,235,186,178,185,136,71,106,144,76,0,84,194,167,105,60,179,255,237,240,241,202,206,209,214,218,222,226,242,229,184,156,197,127,80,90,127,83,55,148,192,189,176,130,125,250,242,242,242,203,206,210,215,219,222,224,248,231,191,145,185,124,79,80,152,104,136,240,194,168,150,127,79,203,254,241,243,205,207,210,215,220,222,225,248,226,188,140,163,137,97,84,190,143,194,229,207,170,129,105,80,211,255,242,243,204,207,212,216,221,224,229,248,229,202,174,139,135,120,59,177,204,240,222,193,161,117,94,94,239,248,246,245,206,210,214,217,221,223,231,250,231,206,186,157,118,99,115,230,239,245,217,182,148,111,85,115,254,247,250,249,205,210,213,216,220,223,230,246,230,207,191,184,146,135,155,232,240,237,199,161,130,103,78,173,255,247,250,248,204,209,213,217,221,224,226,236,230,215,199,192,158,136,135,222,244,220,176,143,118,91,103,243,248,247,248,248,204,209,213,218,222,225,227,228,228,218,199,195,170,140,143,214,238,200,164,130,108,74,159,255,244,247,247,247,206,210,214,218,222,225,228,229,231,222,200,192,173,144,149,198,214,177,149,119,99,77,210,251,246,248,248,249,208,212,214,220,222,223,227,230,233,221,198,187,166,135,151,190,175,156,131,108,87,120,250,245,249,248,249,249,208,211,214,219,223,224,227,230,234,207,186,173,142,126,160,173,148,143,115,100,78,202,255,246,249,249,250,250,208,210,215,217,223,227,222,229,234,196,185,160,138,141,166,166,145,133,113,83,145,252,246,248,249,249,251,251,212,217,220,224,228,234,221,241,236,200,192,160,144,160,178,150,138,110,95,94,226,252,245,247,248,248,249,249,163,171,179,187,193,193,204,246,238,209,206,162,155,175,164,134,121,98,71,167,255,251,253,255,255,255,255,255,99,103,105,105,109,96,161,241,216,207,206,166,158,171,155,121,101,86,78,131,158,159,166,166,171,180,183,196,114,116,114,112,115,97,173,238,201,189,184,158,149,167,152,103,94,79,85,106,106,108,107,118,142,159,161,177
22,76,80,86,107,125,137,141,146,155,163,168,172,176,179,183,184,187,189,188,186,186,185,185,182,180,180,177,176,77,80,88,109,126,138,142,147,158,163,169,179,178,181,186,187,190,181,183,191,188,188,186,188,186,182,180,180,77,80,90,112,129,140,145,151,158,176,182,141,184,184,188,188,209,155,120,198,189,189,192,169,181,188,182,180,78,82,92,114,130,143,148,156,156,199,204,98,177,190,190,191,222,153,99,200,193,196,201,115,133,198,185,183,79,82,93,116,132,144,150,157,159,196,217,105,163,197,190,197,217,140,113,208,191,209,198,103,140,200,188,186,79,83,94,119,135,145,151,159,163,188,225,118,146,202,192,201,209,132,131,209,196,212,175,95,176,198,190,188,78,81,96,119,135,148,153,161,167,183,234,153,128,203,196,198,185,114,143,209,213,223,146,108,204,193,193,190,79,83,98,120,136,150,154,162,170,179,231,165,115,195,200,201,187,102,153,212,220,204,122,150,207,194,196,193,79,84,99,120,137,152,156,162,173,179,224,177,102,177,206,200,192,104,169,225,220,161,98,186,203,198,197,194,79,83,100,124,139,153,158,164,176,179,216,212,128,152,213,185,168,84,200,242,214,135,110,210,200,200,199,197,80,83,100,124,141,155,161,166,176,182,202,220,135,118,198,155,152,116,223,225,196,102,157,216,203,202,200,199,79,84,101,125,143,156,160,168,178,188,194,216,125,75,144,162,188,219,227,201,146,91,202,210,205,204,202,199,79,84,103,125,145,156,161,169,181,188,188,213,152,107,170,177,189,210,206,185,96,142,224,206,207,206,204,202,80,84,105,128,145,158,162,171,179,205,190,144,152,123,156,170,198,189,201,153,83,195,220,210,209,208,207,204,79,85,105,128,147,160,163,173,180,223,181,172,151,161,120,97,158,176,163,105,86,208,217,213,212,210,208,206,77,83,105,128,149,160,163,175,182,232,203,186,187,173,123,80,70,124,122,85,95,222,215,214,214,213,210,208,77,83,107,130,149,161,166,172,190,239,212,156,131,150,155,137,94,61,65,69,95,225,216,216,216,215,211,208,79,85,108,131,151,162,166,177,191,244,222,140,68,80,154,159,135,98,78,57,66,216,223,217,216,214,213,211,77,84,108,131,150,161,166,177,185,242,235,169,150,64,206,187,151,123,100,45,47,208,225,218,215,215,215,213,75,80,107,131,149,161,165,176,182,237,245,183,156,118,233,211,165,130,104,40,62,223,221,217,215,215,216,215,73,79,106,131,151,161,165,178,181,232,247,185,157,196,222,187,166,115,92,34,93,237,218,219,216,216,216,214,72,78,105,131,152,162,166,177,183,218,242,212,168,222,221,164,171,137,84,28,119,237,217,221,218,215,215,213,63,71,100,128,150,161,167,179,188,209,233,216,169,212,212,170,159,142,79,23,167,240,224,225,221,219,218,217,100,104,115,128,142,151,157,164,175,171,220,218,171,167,189,151,131,106,51,40,188,205,198,198,198,197,196,195,110,111,106,98,103,106,105,106,114,66,105,217,145,113,132,116,89,66,43,64,101,96,93,94,94,92,96,93,108,108,110,110,111,109,109,112,111,58,15,100,119,113,124,134,107,71,33,65,108,98,98,98,97,97,72,39,110,111,110,111,111,111,111,117,85,32,39,18,70,123,127,133,95,43,0,36,113,99,99,101,76,44,16,6,110,111,110,110,110,110,114,111,50,41,39,35,21,45,78,63,19,0,0,61,112,97,101,77,27,20,9,0
13,170,170,173,175,176,177,178,178,180,180,181,180,181,180,181,181,179,177,176,175,175,174,172,169,168,166,165,164,170,171,173,176,178,179,179,181,181,182,182,183,185,182,181,182,182,179,178,177,175,175,174,172,171,169,167,166,171,173,175,178,180,181,181,182,183,183,169,143,149,186,168,139,147,182,180,179,177,176,176,174,172,172,170,167,172,175,176,179,181,181,183,185,184,188,169,136,108,138,146,117,77,152,187,181,179,179,177,175,173,173,171,169,173,176,178,180,181,183,185,186,185,196,190,152,125,78,136,128,85,110,190,182,181,180,179,177,175,173,172,170,174,177,180,182,182,184,185,187,187,190,194,155,120,72,110,121,83,90,189,185,182,181,179,178,177,175,173,172,174,178,181,183,184,185,186,187,190,193,184,151,114,76,83,100,72,82,189,185,183,181,180,179,179,177,175,173,176,179,182,184,186,187,188,186,175,179,166,150,118,89,77,111,74,92,191,185,185,184,183,181,181,179,176,174,177,179,181,185,187,189,189,173,125,105,111,154,154,106,87,118,84,97,194,187,186,186,183,181,181,179,177,176,178,181,183,186,188,189,196,170,125,107,90,149,163,115,79,107,77,64,170,191,188,187,185,183,182,180,179,177,179,182,184,187,187,179,146,149,143,129,93,76,115,83,69,79,76,75,110,193,189,187,186,184,184,181,180,178,180,182,185,186,193,171,115,98,153,137,114,57,32,36,63,83,97,106,80,160,193,187,187,185,185,183,181,179,180,183,184,195,199,155,123,104,127,144,119,87,34,58,69,102,122,118,86,109,197,189,188,186,185,183,182,180,181,184,186,199,163,152,140,123,97,137,125,102,48,73,128,142,128,107,87,93,196,190,187,187,187,184,182,180,180,184,187,201,159,131,136,117,97,109,112,80,47,86,145,155,136,99,74,108,198,191,189,189,187,186,183,180,182,184,190,189,158,118,108,104,80,58,83,72,55,111,154,149,134,97,61,139,199,192,189,188,186,186,183,181,182,185,188,191,181,150,111,81,57,46,81,87,91,160,165,142,125,92,61,171,198,193,190,188,187,186,184,181,183,186,187,189,185,164,135,117,96,94,107,109,154,181,158,132,112,85,75,192,195,193,192,189,188,187,185,183,184,188,188,188,182,169,146,123,103,108,145,173,178,168,147,124,103,74,98,202,196,194,192,189,188,186,185,184,184,187,189,191,171,157,143,122,106,111,137,173,170,156,133,113,94,61,128,204,197,195,193,190,188,187,186,186,183,186,190,191,166,155,145,127,119,115,128,164,168,151,124,100,84,54,165,202,198,195,193,191,188,188,187,185,184,187,189,194,180,156,146,134,125,113,120,156,158,139,109,87,66,79,199,199,197,195,194,192,189,188,187,186,183,186,189,193,193,163,148,138,123,111,109,137,144,124,96,78,52,145,205,199,198,196,194,193,190,190,188,186,184,186,190,193,196,189,155,134,118,112,109,124,137,118,93,72,68,194,201,199,197,196,195,193,191,190,189,186,184,187,191,194,196,195,170,143,124,117,122,123,132,118,89,66,116,207,200,199,198,198,195,193,193,192,189,186,184,187,190,192,194,189,178,154,146,143,139,130,132,114,82,65,159,205,199,198,196,196,195,192,192,190,188,186,182,185,188,192,193,182,186,165,157,151,142,136,124,103,78,69,185,201,198,196,195,195,193,190,189,188,186,184,182,186,188,192,192,179,193,169,159,158,141,127,108,97,72,80,198,199,198,196,196,195,194,192,190,188,185,184
16,167,174,179,180,184,190,195,199,202,207,212,214,217,219,221,223,225,227,228,230,231,233,234,236,236,235,235,237,169,176,179,180,185,190,196,200,203,208,212,215,218,221,222,224,227,228,230,232,234,235,237,237,237,236,237,238,172,178,179,182,186,192,197,201,205,210,214,217,220,223,224,227,228,230,232,233,236,237,237,239,238,239,240,240,172,179,181,184,188,193,199,204,207,212,216,218,222,224,227,229,231,232,234,236,236,237,238,239,241,242,242,243,173,179,182,185,190,196,200,206,209,213,217,217,222,226,226,229,232,232,236,237,237,238,240,240,241,244,244,244,175,182,184,186,191,197,201,207,211,216,215,227,225,224,239,228,228,239,237,237,238,238,241,242,244,245,245,245,178,184,185,188,193,198,204,209,213,213,227,255,252,255,255,235,205,207,239,246,242,241,242,244,245,247,247,247,178,185,186,189,195,199,205,211,205,254,255,255,255,255,255,237,208,171,164,205,239,249,244,245,246,248,250,249,179,186,187,189,196,201,206,207,234,255,255,255,255,255,253,224,183,170,147,142,159,202,247,249,246,249,250,250,181,186,188,191,198,205,203,235,255,255,255,255,255,247,232,196,169,174,149,154,144,140,173,245,252,249,251,251,181,186,189,191,198,206,200,255,255,255,255,255,250,219,193,164,166,163,153,163,151,148,137,160,248,253,251,252,181,186,188,192,199,207,204,255,255,255,255,252,229,186,158,157,141,164,161,168,157,150,147,134,168,255,254,252,183,188,191,194,200,208,207,255,255,255,239,220,186,159,148,118,98,170,164,166,159,153,145,147,136,184,248,255,184,190,192,196,202,210,205,255,255,255,239,189,149,130,81,56,97,165,162,170,158,151,147,151,138,63,135,255,186,191,192,196,203,211,205,255,255,255,235,165,138,95,45,49,97,165,172,177,155,148,149,148,92,55,151,255,187,191,193,196,203,210,208,241,255,255,213,148,120,89,61,81,99,142,192,171,154,146,151,104,67,54,203,255,187,191,194,197,204,211,212,227,255,255,188,140,131,133,106,117,116,155,219,150,151,152,114,53,73,57,236,255,188,193,194,197,204,211,213,229,255,228,159,149,154,143,136,129,119,226,206,145,153,112,41,60,67,70,255,255,189,194,194,198,206,214,211,247,255,200,158,163,154,152,155,118,190,253,188,154,116,50,57,74,52,92,255,255,191,194,195,200,208,216,210,254,255,173,189,146,103,126,126,134,255,250,186,140,85,65,73,62,47,122,255,255,191,194,195,200,208,216,209,255,255,146,216,141,114,122,104,154,255,255,205,114,80,69,58,61,46,177,255,255,190,193,196,200,207,212,222,255,191,164,232,139,137,145,125,142,255,255,217,99,71,64,56,65,49,205,255,255,189,192,194,199,208,210,226,219,169,229,216,140,148,151,149,130,226,255,219,106,56,60,61,68,52,199,255,255,190,194,195,200,209,214,217,219,227,240,203,143,155,157,156,130,119,193,159,70,54,60,63,70,57,207,255,255,191,194,196,200,208,215,219,225,225,240,195,147,153,153,132,93,63,61,62,58,63,63,64,69,56,214,255,255,191,194,196,201,208,214,219,225,228,240,187,141,144,135,94,64,68,71,71,72,70,69,65,69,51,158,255,255,192,195,197,202,209,215,222,227,229,242,195,147,132,114,80,73,82,84,85,84,78,73,68,71,51,161,255,255,191,195,199,202,209,216,222,226,232,233,175,150,136,119,96,87,93,92,93,89,82,77,70,73,51,187,255,255
13,108,117,123,125,129,134,140,144,147,150,151,154,157,160,161,163,166,167,168,169,169,170,171,169,169,170,171,172,108,117,125,127,130,136,142,145,148,150,152,155,158,161,163,165,167,168,169,170,171,170,171,172,172,171,172,173,111,121,127,129,133,138,144,148,150,153,154,157,160,162,165,167,169,167,168,169,171,176,174,174,173,174,174,174,113,123,129,130,134,140,145,148,151,154,156,159,162,164,167,168,170,181,187,173,132,152,175,174,179,174,176,176,115,124,130,132,135,141,146,150,154,156,159,161,164,166,168,172,171,190,204,173,119,84,114,131,158,182,175,177,116,124,129,133,138,142,147,152,156,157,160,163,167,165,177,159,134,137,174,177,119,76,100,128,82,160,183,177,118,126,131,133,139,144,148,153,155,159,162,165,165,177,208,174,144,105,137,183,155,82,112,130,73,145,187,178,119,128,132,134,139,145,150,155,156,161,161,172,161,128,182,205,171,123,74,165,171,86,108,140,77,159,186,179,121,129,134,136,141,145,151,155,159,158,168,199,166,112,98,201,191,147,72,88,148,82,122,158,92,174,184,181,122,130,135,138,141,147,153,157,158,165,195,194,184,147,75,146,199,138,87,36,76,57,120,140,114,191,180,183,124,132,137,139,144,151,154,157,158,191,168,162,195,162,90,93,185,124,82,36,57,89,120,113,87,176,187,184,125,135,138,139,146,153,156,156,178,203,167,141,176,147,94,73,164,129,82,40,95,137,131,113,93,125,195,183,127,135,139,142,148,154,158,159,190,184,153,129,163,120,82,52,154,157,85,81,164,158,128,91,98,91,175,189,129,137,140,144,150,157,159,167,200,177,151,111,142,111,78,29,131,156,81,148,183,153,125,98,93,78,163,194,132,139,141,144,153,160,162,170,208,187,164,120,108,115,64,41,123,163,146,184,166,140,118,96,78,88,190,189,135,141,143,147,157,163,164,176,212,193,169,134,93,92,93,138,182,193,195,177,154,127,109,93,63,136,199,187,137,144,144,150,158,165,166,182,217,202,173,138,134,137,144,169,189,187,185,169,142,122,102,80,69,181,193,190,139,146,148,153,162,167,167,185,211,205,183,152,157,143,145,178,181,190,177,157,135,116,96,67,90,199,191,192,142,148,150,157,165,171,172,186,201,207,193,167,164,144,154,190,178,181,164,142,122,104,90,53,147,204,193,194,145,150,153,160,168,174,177,178,197,206,196,177,164,147,156,182,183,162,148,128,114,102,68,106,203,196,196,196,147,153,155,162,170,175,180,178,192,199,193,184,169,158,154,170,178,155,136,118,108,87,88,198,201,198,198,198,150,156,157,165,172,177,181,184,182,200,196,189,184,173,156,163,170,150,121,108,98,77,175,207,199,201,200,198,152,156,160,166,174,180,183,187,175,200,195,189,185,172,152,156,156,139,105,102,79,134,213,200,202,203,200,202,153,159,161,169,177,183,185,189,179,197,179,164,173,165,149,149,146,128,106,90,88,198,205,205,205,201,207,197,155,160,162,170,178,184,187,191,182,199,180,166,181,177,162,142,139,124,115,76,124,210,205,206,206,217,193,94,156,159,163,172,178,183,187,191,180,200,192,175,193,179,165,139,135,123,117,70,145,212,205,210,206,162,84,51,157,160,163,173,179,184,187,192,184,196,203,192,204,183,167,144,134,123,116,68,155,214,207,206,118,53,38,43,157,162,165,174,181,185,188,195,183,183,208,198,201,180,163,148,135,125,113,66,150,215,216,150,62,61,50,25
1,47,73,77,85,96,115,127,138,143,147,151,152,156,161,165,165,167,173,172,172,175,176,176,178,179,179,179,179,53,73,78,87,97,119,130,138,144,149,153,154,157,162,162,180,149,134,180,177,175,178,179,179,180,180,180,179,59,73,80,88,99,121,131,139,145,150,154,156,161,165,166,195,135,98,158,153,181,178,181,181,181,181,181,181,64,74,82,90,102,123,131,140,147,152,155,157,161,172,150,187,133,120,150,110,183,180,181,183,183,183,182,182,67,74,82,90,105,125,135,143,147,153,157,158,164,185,126,179,128,132,165,105,175,183,183,184,184,184,184,184,69,76,82,91,107,128,137,144,149,154,158,155,176,176,124,186,131,135,168,101,168,188,184,185,186,186,186,185,71,78,84,93,110,129,137,145,150,155,160,158,183,165,117,181,126,136,175,107,166,191,186,188,187,188,188,188,73,78,85,95,113,131,139,147,152,153,175,153,163,155,119,184,127,134,167,105,164,193,188,190,189,189,190,189,73,78,86,96,116,130,140,148,152,156,187,123,162,139,142,191,121,138,179,103,162,195,189,190,191,191,191,190,74,80,88,97,119,131,140,150,150,169,182,107,167,125,166,186,112,156,193,106,164,196,190,192,192,192,194,193,75,80,89,99,121,132,140,151,148,188,162,111,182,126,153,159,95,162,178,104,169,198,193,194,195,194,194,194,76,81,90,102,121,134,142,151,153,198,142,111,172,102,142,140,90,175,168,99,175,198,194,195,195,196,195,196,76,83,92,103,124,134,144,148,163,203,133,102,155,143,145,153,169,178,160,98,180,198,196,197,196,196,197,196,79,84,92,105,126,135,146,146,180,195,128,119,162,189,144,159,169,164,147,96,183,199,197,198,197,197,197,197,79,85,93,108,128,137,146,146,194,195,175,165,184,185,177,165,146,140,125,94,182,200,197,198,200,200,200,199,79,85,94,109,129,138,145,153,209,178,164,166,158,147,192,194,179,149,119,91,183,200,198,200,201,201,201,201,81,88,94,110,129,139,141,177,209,157,132,125,108,106,184,186,180,165,133,91,184,200,198,201,201,202,202,202,81,88,95,113,132,141,139,193,198,151,147,153,138,175,202,190,165,146,121,77,168,207,200,202,202,203,204,203,81,89,96,116,133,141,141,198,204,167,149,153,181,228,207,179,157,119,103,73,133,213,200,203,203,204,204,204,81,89,96,116,132,142,143,195,217,183,160,154,187,232,211,174,149,112,89,74,117,212,201,204,205,205,205,205,83,90,97,117,130,141,144,187,218,182,167,158,182,224,201,173,138,110,86,69,144,213,202,206,205,205,206,206,84,91,100,120,133,143,146,178,213,181,174,161,168,209,193,163,130,107,86,82,190,209,205,206,207,208,208,208,84,91,100,120,133,142,149,168,208,188,185,172,184,203,174,145,119,101,75,127,214,205,208,208,209,209,209,209,83,92,100,122,133,142,152,159,193,189,182,168,183,188,157,131,112,96,75,173,212,207,208,209,210,210,211,210,85,91,101,123,135,145,153,156,181,185,178,165,155,161,147,124,114,91,86,196,210,209,210,212,212,211,211,211,84,89,100,121,131,144,152,155,168,182,175,163,154,155,153,136,114,82,102,207,205,207,209,211,212,211,211,210,83,88,99,121,129,140,151,156,170,188,183,173,166,154,153,140,110,77,129,213,202,206,208,209,210,210,211,210,82,87,100,120,129,141,151,154,202,188,179,185,167,152,133,124,105,68,132,214,202,206,209,210,210,210,211,211
18,137,138,141,143,145,148,150,151,152,154,156,158,157,157,158,158,158,158,159,160,161,162,163,162,163,163,162,163,139,141,143,145,148,151,152,153,157,157,159,160,160,160,161,161,160,160,162,163,164,164,165,165,165,166,165,166,141,143,146,148,150,152,154,158,160,160,161,162,163,163,164,164,164,164,165,166,166,166,166,167,168,168,167,166,143,145,148,150,153,155,157,159,161,163,164,165,166,166,166,166,165,166,167,166,167,168,169,167,168,170,170,170,146,147,150,153,155,157,159,161,164,165,166,167,167,168,170,168,167,169,171,174,172,170,175,173,174,172,172,173,147,148,151,155,157,158,160,164,167,166,167,168,170,171,171,172,171,173,156,151,169,175,150,127,146,175,175,175,150,150,154,157,159,161,163,166,167,168,169,171,173,172,173,172,173,175,140,128,157,179,140,85,95,136,185,173,152,153,156,159,160,163,166,168,169,171,172,173,174,175,172,176,174,163,159,158,177,164,163,114,77,82,176,180,153,156,159,161,164,165,168,172,173,173,174,175,175,176,179,152,155,145,159,162,156,133,183,136,85,51,148,191,155,158,160,163,165,168,171,173,174,175,176,176,171,194,189,133,108,122,140,135,94,140,203,146,104,53,132,194,157,159,162,165,166,169,172,174,176,177,175,187,132,140,179,138,109,98,137,93,59,185,200,157,122,59,129,195,158,161,164,165,168,172,174,176,177,173,193,204,126,85,173,158,139,102,181,117,65,196,206,178,140,68,136,199,159,161,165,167,170,174,177,178,177,189,191,197,150,101,146,179,145,96,149,150,97,169,213,190,141,81,95,199,160,163,167,169,172,175,178,178,185,194,150,194,175,127,112,177,146,112,67,126,187,196,188,163,133,101,61,170,161,164,168,170,173,176,179,177,196,201,150,183,185,141,95,150,157,114,137,185,191,194,162,147,131,114,62,148,164,166,170,172,175,179,180,186,196,175,134,150,164,126,76,114,129,147,207,192,176,171,150,136,131,104,69,173,165,168,172,174,177,179,180,185,205,179,134,130,117,88,59,52,125,208,201,186,167,155,145,119,113,75,100,201,167,171,173,175,178,181,183,183,204,183,157,133,78,71,40,60,201,202,190,178,166,154,124,102,88,58,158,201,170,172,174,177,180,183,184,186,205,191,174,140,99,131,88,161,213,198,191,173,161,143,107,88,70,84,199,195,169,172,176,178,180,184,184,191,206,203,167,133,164,152,143,216,202,200,183,164,151,123,93,81,61,124,207,195,171,174,178,180,181,185,184,198,204,206,156,152,176,136,183,221,209,191,173,159,139,104,79,76,65,178,202,196,172,176,178,181,185,187,184,197,209,202,160,162,173,127,209,211,211,183,161,142,118,88,76,59,118,206,196,198,173,177,179,182,185,187,189,186,199,204,168,175,161,138,220,212,196,171,152,128,97,78,71,69,188,203,198,200,175,177,180,183,186,188,192,188,189,195,177,183,159,171,199,200,178,154,139,115,88,81,55,125,212,197,200,201,175,179,182,185,186,188,193,191,182,191,179,190,173,169,177,181,165,148,127,105,88,71,73,193,203,202,201,201,177,181,184,186,188,190,192,193,180,196,190,181,168,148,165,178,168,139,115,97,84,57,145,211,201,203,203,203,177,181,183,186,189,191,193,195,179,185,166,156,150,140,164,170,162,133,101,88,65,85,201,202,204,205,205,205,178,181,183,187,190,192,194,196,186,174,149,156,153,170,174,171,154,127,99,85,56,135,211,202,205,205,206,206
17,146,149,150,153,155,156,157,159,161,163,163,165,166,167,167,171,171,169,173,172,171,174,172,172,173,173,173,172,145,149,151,154,157,158,159,161,163,164,163,166,167,169,171,172,171,176,176,177,174,174,173,173,175,174,173,172,146,148,153,157,157,158,160,162,162,166,166,166,168,169,171,174,159,139,151,130,175,176,176,175,176,176,175,174,147,150,152,156,159,160,161,163,164,166,165,167,168,173,171,178,178,111,85,81,166,180,176,177,176,177,176,174,148,151,155,157,159,161,162,166,168,169,168,169,172,174,173,177,196,137,71,73,175,178,178,178,176,177,177,175,148,152,156,157,159,161,164,167,167,169,170,172,177,174,176,175,197,158,84,84,188,178,179,179,177,179,179,176,150,154,156,158,161,164,165,166,167,169,174,164,154,185,178,174,201,167,97,119,191,178,180,180,178,179,180,178,152,155,157,158,163,164,165,169,171,170,175,170,116,136,185,184,200,160,102,141,189,181,182,182,181,181,180,180,153,156,158,160,162,164,167,167,167,162,180,178,147,118,142,178,197,158,99,139,191,181,183,183,182,181,180,178,154,157,158,161,164,165,163,184,172,115,135,187,189,182,128,86,154,155,103,139,193,182,185,182,182,183,182,180,155,158,159,163,167,166,170,186,178,122,142,158,179,195,168,90,93,130,95,136,194,183,184,182,184,184,183,182,156,159,161,163,168,165,181,172,153,152,112,99,90,205,194,127,72,99,81,132,196,184,185,184,184,184,184,183,156,158,161,163,167,165,185,170,104,111,99,65,57,188,211,153,79,78,69,128,197,185,187,186,185,184,184,184,156,159,162,164,168,167,190,168,134,132,110,103,103,166,224,166,99,72,72,118,196,185,187,187,186,185,186,185,156,161,164,165,168,171,198,168,144,134,114,132,140,173,213,170,118,72,67,116,197,185,188,188,187,187,186,186,157,160,164,169,166,181,190,143,129,126,130,139,186,219,178,164,124,70,57,114,198,186,188,188,188,188,186,183,157,160,165,170,164,191,191,149,133,126,136,159,224,213,172,146,115,68,49,117,198,187,189,188,188,189,187,185,157,162,164,168,165,200,193,158,138,126,138,197,220,197,168,138,105,69,50,142,200,187,190,188,188,188,189,187,157,162,165,168,165,205,192,166,151,127,160,219,209,194,158,123,100,65,64,178,193,188,190,190,189,187,188,187,158,162,167,170,167,214,193,174,169,139,172,217,196,188,162,114,92,54,104,200,186,191,191,192,190,189,187,187,159,163,167,172,168,217,200,181,180,155,169,209,189,179,155,109,81,57,160,198,188,190,191,192,189,188,189,189,160,165,168,170,165,209,211,186,177,166,163,195,183,180,148,103,70,79,194,190,189,189,191,191,189,190,189,190,160,165,168,172,168,198,213,184,169,163,168,180,171,185,158,99,65,99,201,189,192,192,192,192,191,192,190,189,162,165,168,172,168,196,204,181,168,157,166,177,167,186,149,101,65,134,203,189,193,193,193,193,192,191,191,189,161,164,168,173,169,201,208,190,171,166,171,179,165,179,131,92,74,179,196,192,192,192,193,193,192,192,191,190,158,163,168,173,171,209,218,188,168,176,180,171,151,164,116,71,115,202,190,193,193,193,193,193,193,193,192,191,161,164,169,172,172,218,209,171,170,179,182,156,137,145,97,68,173,197,192,194,194,194,193,192,194,193,192,191,162,165,169,170,175,220,202,165,171,180,175,147,134,127,80,93,198,190,194,194,194,194,194,193,195,193,191,191
0,186,187,189,192,193,198,199,199,201,201,202,206,208,208,207,207,208,209,210,210,208,209,210,209,210,209,208,208,186,189,192,195,197,199,200,201,201,204,203,206,207,209,209,207,210,210,210,210,210,210,209,210,210,210,210,211,186,189,193,197,198,200,203,202,205,208,206,209,209,207,207,211,210,208,210,212,212,213,214,214,212,212,214,212,188,191,193,197,198,200,203,205,207,208,207,210,214,212,220,210,210,215,230,212,206,241,198,204,220,216,215,213,190,193,197,198,200,202,205,208,207,217,241,211,189,244,245,198,167,230,251,207,174,240,197,171,225,215,216,215,193,194,198,199,202,206,204,210,204,250,255,222,153,205,242,204,148,168,243,214,156,200,223,152,213,222,217,218,193,197,200,202,205,202,231,235,192,252,247,232,171,169,241,216,170,147,248,217,150,148,228,174,162,207,222,218,195,198,200,205,204,219,255,240,187,220,255,230,194,171,240,220,170,165,251,205,150,98,200,207,172,154,195,225,197,200,202,205,201,246,255,247,209,196,255,226,200,162,245,232,159,170,248,182,140,53,146,218,202,141,152,234,199,201,204,204,208,255,255,255,226,181,247,231,194,159,252,233,144,136,213,160,110,46,173,235,211,148,163,236,201,202,205,200,223,253,235,255,236,172,226,233,182,150,240,216,142,94,156,149,81,73,233,236,218,143,194,235,202,204,209,199,246,254,227,242,203,138,193,216,168,129,182,178,136,82,152,141,70,167,247,230,186,135,223,230,203,208,205,213,255,251,204,215,159,100,153,185,155,107,125,159,102,82,184,184,192,230,229,206,147,150,238,227,204,208,201,236,255,243,195,192,167,115,135,179,161,88,97,147,118,197,245,241,228,203,196,168,136,171,240,229,208,212,205,227,255,255,230,186,166,135,123,200,169,72,83,188,245,255,248,233,213,183,161,152,120,189,241,232,210,215,210,225,255,255,244,216,180,159,162,197,164,140,218,255,255,250,240,225,196,166,147,136,133,229,236,235,210,214,209,232,255,255,252,232,216,184,187,205,227,255,255,255,255,243,222,202,174,149,135,125,211,241,236,236,209,213,210,234,255,255,255,247,235,213,201,231,250,255,255,255,250,232,204,176,150,139,114,184,243,234,240,237,210,213,211,229,255,255,255,255,244,230,218,229,248,255,255,252,241,217,189,155,138,118,146,243,237,238,239,238,211,214,215,225,255,255,255,255,241,227,219,222,237,255,249,233,221,200,163,142,121,122,226,243,239,241,239,239,211,214,218,219,255,255,255,250,232,213,212,218,226,233,226,210,188,172,145,121,110,214,249,239,240,241,240,240,214,220,224,221,252,255,255,250,232,211,213,223,226,227,209,188,157,139,116,87,191,253,239,242,242,242,241,242,212,208,208,194,209,225,203,193,184,175,188,204,200,196,172,157,136,112,83,173,252,240,244,242,243,244,243,242,159,141,139,132,118,111,109,96,85,74,74,70,59,58,55,58,67,65,91,229,253,241,243,243,245,244,243,243,130,131,128,119,117,114,102,90,82,66,57,43,34,34,29,26,24,31,38,51,172,255,241,245,246,245,245,245,137,135,133,124,119,110,100,89,78,64,57,46,39,36,33,30,28,30,35,4,113,255,242,247,246,246,246,246,162,132,135,125,122,107,97,86,69,62,54,47,36,34,31,27,26,25,28,24,219,253,245,248,246,247,247,247,180,135,130,126,121,107,93,83,71,60,50,46,38,36,31,26,24,27,12,100,255,242,246,247,248,248,248,248
2,156,157,158,160,162,164,164,164,164,164,164,164,163,163,162,161,161,162,159,159,158,158,157,156,155,155,153,152,157,158,160,162,164,164,165,165,166,165,165,165,165,164,168,179,186,179,164,154,153,155,157,157,157,156,155,153,158,159,161,164,165,165,166,166,166,167,166,165,171,183,201,205,193,182,176,141,120,117,137,155,157,157,156,155,160,161,162,164,166,167,167,167,168,168,166,178,208,204,204,200,176,150,137,111,89,88,89,139,159,158,157,157,161,163,164,165,166,168,169,169,169,169,167,203,212,202,198,166,128,103,96,88,84,84,80,128,160,158,158,158,162,163,165,167,168,169,170,171,170,169,175,219,212,194,155,115,85,76,79,82,90,93,111,149,162,160,159,159,163,164,166,168,170,171,171,172,171,169,188,226,205,149,103,83,72,80,90,120,147,150,158,163,163,162,160,160,164,166,167,170,170,171,172,174,174,170,199,222,182,115,77,77,77,87,133,163,167,166,166,164,163,163,162,161,166,167,169,170,171,172,173,174,174,175,216,208,147,89,66,70,76,94,163,168,167,166,166,165,164,163,163,162,167,169,170,171,173,174,174,175,173,194,220,171,107,69,64,61,73,99,165,169,169,168,167,166,165,165,163,163,166,169,170,172,174,175,175,176,182,220,202,140,93,76,76,69,68,112,170,170,170,169,167,167,166,165,164,164,167,169,171,173,175,176,177,176,212,228,184,131,98,89,86,81,76,127,173,171,171,170,168,167,167,166,165,165,169,171,173,174,177,178,178,185,235,221,168,121,96,95,89,86,83,134,175,172,171,171,169,168,169,168,166,164,171,172,174,176,178,178,177,200,241,207,150,110,97,95,88,89,88,138,176,173,173,172,171,170,169,170,167,165,172,173,175,178,179,181,178,218,238,193,138,103,93,90,87,89,90,143,178,174,174,173,173,173,170,162,152,157,173,174,176,179,180,181,185,236,229,181,132,100,89,89,89,89,85,140,179,176,175,174,174,169,157,150,124,128,174,175,178,180,182,179,206,245,216,171,126,97,86,86,85,84,80,117,179,178,177,176,170,155,156,137,114,153,176,177,179,181,183,184,231,239,205,163,121,93,83,81,82,86,82,93,169,180,178,174,150,149,148,112,138,170,177,179,180,183,182,200,245,230,195,155,116,90,81,78,84,90,89,82,133,179,173,146,138,147,124,110,164,171,178,180,181,184,183,218,243,219,185,149,113,89,79,80,85,88,91,87,90,123,135,135,143,133,109,126,172,172,179,180,182,184,187,232,235,210,182,146,111,89,80,86,87,85,88,89,86,95,126,148,140,119,118,157,174,173,180,181,183,184,197,236,227,206,181,143,113,94,84,93,93,93,96,97,95,109,138,146,131,124,160,176,175,174,180,182,184,185,216,237,224,210,185,149,122,100,90,102,106,109,108,107,103,114,137,129,128,163,179,179,175,174,181,183,185,189,233,238,226,211,186,154,128,105,96,109,117,120,111,107,104,110,119,131,169,180,180,180,176,175,182,184,185,199,239,236,223,206,174,143,125,109,101,112,120,121,113,106,103,110,130,171,184,182,181,179,178,176,182,185,184,215,234,229,215,188,152,126,115,108,107,116,118,115,110,105,128,162,177,184,183,181,181,180,178,175,183,185,203,232,225,213,191,157,128,119,113,107,108,111,110,109,107,136,178,186,185,185,183,181,181,180,178,175,183,192,234,227,210,195,173,134,121,120,115,111,109,105,104,112,147,182,188,187,186,185,183,182,182,180,178,177
10,74,77,81,85,93,108,119,127,131,135,140,146,150,154,163,153,155,164,164,164,165,165,165,163,164,163,161,159,75,77,81,85,95,110,121,129,132,137,142,148,152,158,183,142,131,165,165,165,166,167,165,164,164,163,162,160,76,78,82,87,97,112,122,130,133,138,144,150,154,164,186,146,116,162,168,167,168,168,167,166,165,165,163,162,77,80,83,87,99,113,124,132,135,140,147,152,157,165,188,161,113,157,171,170,170,170,169,167,167,167,166,164,77,81,84,88,100,115,127,134,137,142,149,154,160,164,191,178,122,151,174,172,172,171,171,171,170,168,167,166,78,81,86,89,102,117,128,135,138,144,151,157,161,166,198,186,130,142,176,174,174,174,173,173,172,171,169,167,79,82,87,90,104,119,130,137,140,146,153,159,164,167,199,187,137,133,177,176,176,176,176,175,174,173,171,170,80,83,87,90,105,120,132,138,142,149,155,161,166,168,201,193,138,120,177,179,179,179,178,176,175,175,173,172,80,83,87,91,106,122,134,140,144,151,159,161,166,170,205,200,145,108,173,180,180,180,179,178,178,177,175,174,81,83,88,93,108,124,138,143,145,157,177,138,150,173,198,185,142,99,163,184,182,182,182,180,179,179,177,177,81,85,89,94,109,140,164,132,110,138,160,104,114,173,190,169,132,91,149,186,184,184,183,182,181,181,179,179,82,85,89,95,110,151,160,105,82,92,122,93,70,139,173,150,135,95,142,188,186,186,185,184,183,183,181,180,82,86,88,96,112,133,135,105,91,86,113,97,67,72,110,119,138,108,125,188,187,186,186,186,184,183,183,182,83,86,89,97,113,129,140,140,135,126,124,106,87,66,69,84,113,108,101,179,189,188,188,187,186,186,185,183,83,86,89,97,114,130,144,151,160,158,119,119,108,96,77,70,88,92,84,166,193,192,190,188,188,188,186,185,84,86,90,98,115,131,145,152,173,158,103,108,136,128,109,85,76,78,74,156,195,193,192,191,190,189,187,186,82,85,90,99,117,133,148,156,167,170,136,91,115,152,135,115,90,70,67,136,196,195,194,193,192,190,188,187,83,86,89,98,118,133,163,168,144,175,148,101,109,186,154,134,110,71,59,101,193,196,195,195,194,192,191,190,84,87,89,99,118,134,175,188,141,140,139,111,147,208,170,142,120,80,60,88,191,199,197,196,196,194,194,192,84,86,89,100,119,135,166,190,152,111,144,140,158,210,169,139,122,90,63,86,192,200,199,199,197,196,194,193,84,86,89,101,120,137,152,172,159,116,150,175,161,198,175,142,118,93,69,85,192,201,201,200,199,197,196,195,84,86,89,102,121,138,150,162,161,122,153,203,144,173,176,151,116,89,72,84,192,203,202,201,200,199,197,196,83,85,88,102,121,138,151,157,172,151,166,152,104,147,172,144,111,86,73,91,195,204,203,202,201,200,198,196,84,86,88,101,122,139,152,157,170,192,172,118,117,158,161,133,104,82,72,104,201,204,205,203,202,201,199,197,82,85,88,102,122,139,151,156,162,188,193,171,151,164,145,120,98,84,74,119,204,204,204,203,202,201,199,199,80,83,86,101,121,138,151,154,161,171,189,177,144,145,133,113,102,92,78,131,205,204,204,203,201,201,199,198,79,81,85,101,122,138,152,156,153,93,158,177,138,146,147,143,127,105,78,143,207,205,205,203,202,201,201,199,78,80,83,99,120,137,151,157,109,19,141,191,173,165,154,160,140,106,72,147,209,206,206,204,202,202,201,199
1,109,56,87,98,104,110,125,138,147,151,155,158,159,162,165,168,173,171,173,176,177,178,178,180,180,179,180,181,102,56,92,99,104,112,127,139,148,153,157,158,161,163,171,167,143,175,178,176,177,179,178,180,181,181,181,182,92,58,96,99,106,114,131,143,149,154,159,160,162,163,184,169,109,160,161,178,178,180,181,182,182,182,181,181,82,63,97,100,107,115,134,144,150,155,160,160,168,161,175,166,119,159,124,171,182,181,183,183,183,183,183,182,73,68,98,101,109,117,135,145,152,157,161,159,184,152,157,160,124,170,124,163,186,182,183,184,184,184,183,184,64,74,99,102,109,120,137,146,152,157,162,162,189,142,164,162,128,171,124,154,189,182,185,185,185,185,185,185,57,80,99,103,110,122,139,147,152,157,163,166,191,131,160,159,125,175,131,151,190,183,186,186,187,187,187,187,56,86,101,105,112,125,141,148,155,158,177,152,179,126,163,160,125,167,129,148,192,185,188,188,188,188,188,189,57,90,101,105,113,127,142,149,153,169,172,135,171,129,183,160,123,176,136,143,194,187,189,190,190,190,190,189,60,94,102,106,113,128,143,150,152,184,157,131,164,134,190,150,129,195,142,144,194,188,190,191,190,191,191,191,65,96,101,107,115,131,144,151,157,194,140,145,170,133,171,130,129,189,132,148,195,189,192,192,192,192,193,193,69,99,102,108,116,132,145,150,165,194,126,144,154,121,162,118,142,184,125,151,196,190,193,193,194,194,194,194,74,100,102,109,117,133,146,148,176,192,122,133,159,154,152,171,175,175,124,154,197,192,194,194,194,195,195,195,79,101,104,110,118,135,147,148,188,178,132,137,180,169,151,172,165,164,121,152,200,192,196,196,196,195,195,196,83,102,104,111,120,137,146,151,197,186,172,166,189,182,172,159,150,144,116,151,201,193,195,196,197,197,197,197,87,102,104,111,121,139,144,163,207,173,166,169,161,161,189,186,169,148,113,149,201,193,196,198,198,199,198,198,92,102,106,112,122,140,141,182,200,156,140,137,116,135,186,184,179,164,120,144,203,194,196,198,199,199,199,199,96,102,107,113,124,143,142,192,193,156,153,158,150,186,194,185,166,151,118,121,201,197,198,199,199,200,201,200,98,102,107,113,126,144,144,191,198,168,156,161,189,215,199,180,156,129,115,102,186,202,199,200,201,201,201,200,100,102,108,113,127,143,144,186,207,181,166,160,190,218,200,171,150,120,107,100,182,204,199,201,202,201,201,201,101,103,109,114,127,142,145,177,209,181,168,162,182,211,193,167,142,121,101,115,200,201,201,202,202,202,203,203,101,103,110,116,130,144,149,169,203,179,173,164,170,199,186,163,135,120,97,154,208,201,203,203,204,204,204,204,102,104,110,116,131,144,152,162,195,184,181,173,184,194,172,149,127,113,105,188,204,203,204,204,205,205,206,205,101,104,110,116,132,144,151,159,182,184,178,168,176,181,157,136,124,105,122,204,202,204,204,205,205,206,207,206,102,104,110,115,132,143,153,159,171,182,174,167,156,159,149,132,125,101,138,207,202,205,205,207,207,207,206,206,101,104,109,114,131,141,151,158,163,180,175,164,157,156,156,142,124,98,159,206,200,203,205,206,206,206,206,206,101,103,108,114,131,141,150,156,179,185,178,176,167,158,151,141,118,96,170,206,200,203,205,205,206,206,206,206,101,102,107,114,131,140,150,158,199,195,159,177,168,155,136,127,117,92,157,207,199,203,205,206,207,206,206,207
15,105,114,122,126,127,131,138,144,148,152,156,159,162,164,167,169,171,175,176,179,181,182,184,185,187,187,188,189,107,115,123,126,128,131,139,144,148,153,157,160,162,165,168,169,173,175,177,180,182,184,185,186,188,189,190,190,108,116,123,126,129,134,140,145,150,155,158,160,163,166,169,172,175,177,180,182,183,184,187,188,189,189,190,192,109,117,125,128,131,136,141,146,151,154,157,161,164,167,170,173,175,178,181,182,183,185,187,189,190,190,191,192,109,118,124,127,130,135,140,147,151,155,159,161,164,168,170,172,176,177,180,182,185,186,188,189,189,190,192,192,118,123,132,133,135,142,147,150,148,152,155,158,163,167,170,172,176,180,183,182,185,188,189,191,192,192,192,194,147,136,141,142,144,154,160,162,166,164,157,154,155,156,165,166,161,161,170,185,188,188,191,192,192,193,193,194,131,114,119,127,140,152,156,164,179,172,164,165,169,176,171,172,173,153,139,131,172,193,189,193,192,194,194,195,103,101,108,111,117,128,135,149,172,179,178,178,179,182,185,172,169,185,144,116,107,164,197,191,193,194,194,195,114,125,128,127,129,132,136,138,145,158,171,189,192,166,169,176,142,192,143,118,131,112,164,198,190,194,194,195,113,122,128,129,134,141,144,152,145,129,136,140,164,161,145,153,134,195,147,108,145,151,99,170,195,192,194,195,115,124,129,129,134,138,143,169,138,120,112,122,150,157,127,122,127,161,144,126,144,152,108,100,191,193,193,194,115,124,128,129,135,136,156,182,121,110,119,137,163,156,130,120,128,119,119,132,146,135,100,78,125,202,191,194,115,124,128,129,134,139,151,192,133,110,137,148,160,148,126,122,124,123,122,135,148,145,103,82,76,144,200,196,116,124,129,129,135,137,166,196,191,157,138,125,129,123,107,108,110,119,132,142,146,142,110,85,83,79,133,193,115,124,128,130,134,136,177,197,185,193,169,120,76,72,72,67,72,91,118,135,130,124,104,93,93,87,77,107,115,124,127,129,134,138,159,195,188,171,178,186,115,45,55,49,53,60,87,125,131,126,118,116,105,94,90,83,105,110,115,118,123,125,130,177,190,169,163,191,123,62,56,51,61,55,84,136,145,144,138,132,117,100,92,91,87,90,92,91,94,91,100,193,182,167,156,154,91,68,59,55,65,62,74,120,139,142,140,133,119,102,91,96,95,95,96,96,98,99,100,169,195,173,140,133,115,73,60,62,65,73,82,94,115,124,130,126,116,102,93,95,96,95,96,98,98,101,98,108,149,164,150,139,131,90,67,68,64,72,86,89,99,118,123,117,106,101,99,96,96,96,97,98,98,100,101,99,100,105,107,107,100,93,76,71,63,68,84,93,85,105,116,113,106,102,100,100,96,96,98,98,99,98,100,100,101,103,102,101,100,105,102,89,88,83,92,104,96,96,108,105,101,96,97,100,95,95,96,98,99,99,101,101,101,104,105,105,106,114,118,132,128,113,127,134,139,131,125,119,100,92,104,107,95,95,96,96,98,100,100,101,101,103,103,104,104,104,103,126,119,139,164,166,159,153,139,128,109,107,124,122,94,95,95,97,98,100,100,100,101,104,104,104,104,105,104,103,103,118,138,148,154,135,120,110,116,123,126,139,95,96,96,97,98,98,100,100,101,102,102,103,103,103,104,105,106,107,101,114,123,110,122,130,123,115,128,151,94,95,96,97,97,97,99,100,100,100,101,101,102,103,104,104,105,106,106,106,104,118,137,139,116,121,136,152
4,168,168,168,167,166,166,165,164,165,164,163,163,163,161,160,159,158,158,156,154,153,153,151,150,148,148,148,146,170,169,169,168,167,167,167,167,166,165,164,163,163,162,160,160,159,158,157,156,155,153,152,151,150,149,149,148,170,170,169,169,170,169,167,167,168,167,166,164,164,163,162,161,159,157,157,157,157,155,154,153,152,149,149,148,172,171,170,170,171,170,169,170,169,168,167,166,166,167,166,162,162,164,158,157,156,156,156,154,152,151,150,149,173,173,173,172,171,171,171,169,168,168,168,159,151,154,153,159,142,138,160,161,159,159,154,154,153,152,151,150,174,174,174,172,172,172,171,170,169,170,169,158,151,148,129,107,113,107,113,154,150,153,160,154,154,152,152,150,175,174,173,173,173,174,173,172,170,159,160,146,116,90,134,93,62,115,103,84,88,83,126,161,153,153,152,150,176,175,174,175,174,174,173,173,168,166,159,149,121,63,101,101,51,96,101,61,66,78,71,158,155,154,153,151,175,176,176,175,176,175,174,174,172,137,104,126,146,85,92,116,108,99,85,55,90,100,62,131,163,154,154,153,176,176,177,176,176,176,176,173,175,145,84,50,152,124,95,117,139,123,90,92,90,108,79,121,165,154,154,153,177,178,177,176,177,177,176,176,166,122,79,31,79,105,66,84,97,120,101,101,92,101,79,97,166,154,155,155,178,179,178,178,178,177,177,177,160,127,107,86,56,63,64,57,48,89,114,99,91,90,89,72,157,158,156,154,179,179,179,178,177,179,178,176,164,150,122,90,61,64,77,69,72,68,78,86,90,113,111,63,134,164,154,154,179,180,179,178,179,179,178,176,168,140,105,80,60,64,71,81,97,84,63,77,141,134,117,73,105,167,154,154,181,181,180,180,181,180,177,178,167,135,103,72,58,64,76,92,95,87,94,108,120,135,131,95,82,164,155,155,182,182,181,182,182,181,178,177,171,148,117,81,63,72,83,98,97,103,132,147,131,134,137,103,65,155,159,156,182,182,182,183,183,182,180,175,167,149,125,90,65,70,87,107,116,123,139,144,140,128,111,93,55,148,160,156,182,183,183,183,183,182,181,175,166,158,135,104,74,68,89,110,128,142,150,147,131,118,98,68,63,160,159,157,182,183,183,183,183,183,181,174,162,162,142,115,90,70,78,122,140,154,153,144,123,108,89,46,106,169,157,157,183,183,183,183,183,184,183,172,159,158,145,121,96,78,80,135,149,154,149,135,113,98,72,55,157,161,159,159,184,184,184,182,182,182,183,170,154,153,152,130,101,91,89,140,150,148,141,124,104,89,50,107,171,159,160,158,184,184,184,183,183,183,185,169,153,156,153,134,111,99,99,140,147,144,130,109,94,73,55,159,165,162,160,159,185,184,183,185,184,184,185,174,158,162,157,137,117,97,98,139,140,135,118,94,83,46,109,174,162,163,161,160,185,183,182,185,184,185,186,178,162,166,154,138,124,100,93,130,130,120,102,86,58,61,167,167,164,164,162,161,185,185,185,187,186,185,186,178,170,166,152,141,127,109,95,113,117,104,89,71,40,140,174,165,164,164,162,161,185,185,186,187,186,184,187,178,170,162,150,138,125,116,102,101,107,92,77,40,102,178,166,166,165,163,163,162,185,186,186,187,187,186,184,174,170,163,153,145,136,125,112,95,95,82,56,65,172,170,169,167,166,164,163,161,186,187,186,187,187,188,175,166,171,163,150,147,135,121,114,94,86,72,44,131,179,167,169,167,166,165,163,162
15,110,112,111,113,115,117,119,121,124,129,139,152,164,174,182,188,192,194,195,200,205,209,212,214,218,220,222,224,113,112,111,113,115,119,118,122,125,128,138,153,165,175,181,187,191,194,197,201,205,210,214,216,219,221,223,227,115,112,112,112,114,119,120,123,125,129,142,154,164,176,182,188,193,197,200,202,206,210,215,217,218,222,225,227,115,112,112,113,114,117,112,119,127,131,143,155,164,174,183,190,194,197,200,203,209,212,217,218,221,225,228,231,115,112,112,113,111,113,165,141,121,125,143,157,169,175,183,192,194,197,199,203,208,211,217,219,221,227,228,232,114,111,111,114,105,137,249,213,180,153,145,153,164,176,188,193,197,197,199,203,208,214,217,221,225,226,228,230,114,112,112,113,108,123,210,217,199,206,188,183,169,164,173,183,189,195,200,208,214,216,218,220,225,226,228,232,113,113,113,114,115,110,131,170,153,173,189,197,196,191,173,173,170,175,179,183,193,206,217,227,224,229,230,233,113,112,113,113,114,117,116,123,127,142,156,154,181,198,191,185,180,186,189,181,159,154,142,189,235,226,234,235,113,112,112,113,114,116,120,123,123,133,141,137,147,173,171,168,160,178,208,213,188,164,139,103,191,241,229,236,113,112,112,113,113,115,119,123,123,133,149,160,166,167,165,164,143,176,204,209,195,182,173,132,116,214,238,233,114,112,111,112,114,116,118,122,123,132,148,158,171,181,185,184,176,216,211,203,206,203,191,168,135,120,224,241,115,112,112,112,113,117,119,121,125,135,142,160,172,177,191,195,218,245,194,180,221,198,205,196,163,112,127,236,113,112,112,112,115,117,118,122,125,127,179,187,180,181,169,192,235,190,175,146,228,178,216,218,170,136,100,145,112,112,112,112,115,115,117,121,121,129,217,207,207,215,198,160,167,147,107,118,214,158,221,218,172,142,117,98,112,111,112,111,112,115,117,120,123,132,176,179,212,240,217,165,164,167,131,132,179,178,212,209,174,148,119,109,112,111,111,110,109,114,117,119,122,132,147,164,193,223,189,168,192,183,178,179,171,169,153,173,164,141,116,109,109,109,108,109,109,110,112,116,119,131,148,158,174,172,149,173,193,184,185,199,195,164,118,123,139,127,120,114,108,104,107,107,109,111,111,113,117,131,147,159,158,211,182,141,159,186,194,199,195,155,117,115,121,117,121,123,108,104,105,105,107,109,112,114,119,130,146,162,154,236,233,143,77,99,168,184,186,149,119,121,120,118,125,124,108,105,104,104,107,107,112,112,118,133,146,161,159,219,218,138,81,67,87,158,157,126,117,122,122,122,125,126,108,105,103,103,106,108,110,110,118,132,146,161,159,216,220,117,109,117,72,119,155,124,121,126,132,129,126,121,104,102,101,102,104,108,110,108,115,127,144,159,160,208,218,100,162,143,121,129,149,166,149,145,135,130,125,119,103,102,99,100,103,104,107,109,115,128,141,155,156,208,227,84,162,205,113,168,154,159,134,128,123,121,121,121,96,94,92,91,95,95,97,98,103,119,136,151,150,217,212,85,142,237,131,130,212,118,120,115,102,107,109,110,165,161,157,152,149,148,146,146,149,154,163,169,169,198,146,105,183,211,134,152,222,184,206,169,91,87,89,88,141,141,139,138,135,137,141,144,144,141,138,133,131,139,111,122,149,144,131,146,152,157,153,153,117,93,93,104,128,126,126,125,124,124,125,124,123,126,125,119,118,122,129,130,124,123,129,128,125,122,122,123,129,124,130,128
1,54,76,77,82,89,106,125,138,142,149,155,158,163,171,171,175,175,176,179,179,180,181,182,183,183,183,184,182,62,77,79,84,90,109,129,141,146,153,160,161,174,195,132,172,181,182,181,183,183,182,183,184,183,184,184,183,70,77,80,86,92,113,133,145,150,158,166,167,187,207,110,131,141,174,192,188,188,188,188,186,186,186,185,185,76,78,83,87,93,116,137,148,155,159,197,166,154,213,112,121,134,131,203,192,195,195,194,193,190,189,189,188,79,79,83,88,96,120,139,150,158,162,214,171,123,207,112,114,152,100,195,201,200,200,200,198,196,195,194,194,79,80,85,89,101,124,143,154,161,165,214,180,114,188,117,109,154,92,180,213,205,206,205,203,202,201,200,198,81,81,86,90,103,128,147,156,164,169,217,182,100,175,138,115,164,105,164,220,209,211,211,209,207,206,205,205,82,82,87,90,108,133,151,158,172,186,191,187,98,141,132,110,170,113,150,228,214,216,216,214,213,213,212,210,83,83,88,92,111,137,155,157,190,189,167,188,100,124,134,95,163,118,143,232,219,221,221,219,218,218,216,214,84,85,90,92,113,140,159,157,214,183,148,186,100,139,150,97,184,146,140,232,223,224,224,223,223,222,220,219,85,87,91,95,117,143,162,163,218,166,136,204,114,129,146,99,183,162,132,233,228,229,228,227,226,225,224,223,85,87,91,95,120,147,165,167,219,162,119,196,120,98,130,108,175,162,117,230,232,232,231,230,228,228,229,228,85,87,90,96,124,150,167,172,224,166,99,171,112,88,121,127,190,162,113,226,237,235,235,235,234,232,232,232,86,88,90,98,127,152,170,175,229,183,92,156,159,150,144,165,194,135,100,213,244,237,238,237,237,237,237,236,87,88,90,100,131,156,174,178,227,182,102,166,208,165,148,158,159,132,87,182,252,237,240,240,238,239,240,237,86,88,90,102,133,160,178,182,227,192,154,159,131,146,137,136,127,140,122,147,252,241,243,243,241,240,242,249,86,89,90,104,138,164,179,185,240,211,159,138,114,138,140,152,141,167,167,126,187,255,242,243,250,255,245,208,85,89,91,107,141,167,180,190,250,210,155,125,121,142,149,213,202,183,205,171,111,214,255,255,228,171,105,63,86,89,91,110,144,171,182,194,249,206,145,120,128,148,182,234,244,195,220,174,98,160,255,147,73,53,49,53,85,88,90,112,147,172,185,193,245,213,146,122,138,158,199,231,252,238,194,136,94,149,135,59,51,47,60,45,83,86,88,113,148,173,185,192,238,219,155,123,142,168,211,239,247,228,179,125,103,79,47,70,67,30,56,56,84,86,88,115,151,177,187,193,233,226,179,130,144,172,212,247,239,210,169,126,98,70,52,41,72,37,31,61,78,81,84,114,152,178,190,195,226,227,197,143,145,171,212,246,224,194,158,120,95,68,58,28,52,58,20,43,96,93,94,120,156,180,192,199,220,221,205,158,149,163,212,233,214,188,146,113,90,69,48,34,29,61,31,25,132,130,131,130,131,140,146,150,160,211,210,167,163,158,200,217,205,177,136,108,83,64,56,34,22,49,46,15,125,125,126,127,127,129,129,132,126,182,215,178,168,157,177,204,190,160,123,99,76,42,59,38,16,40,56,21,127,127,130,132,134,134,136,137,135,146,202,183,168,160,152,180,170,140,108,88,77,44,47,39,18,29,57,38,126,128,129,130,131,133,134,136,138,133,180,194,172,165,145,154,159,130,98,76,78,58,31,16,28,21,52,50
5,160,161,160,162,163,164,165,165,166,166,167,166,165,167,170,167,167,167,165,165,164,162,161,160,161,158,157,156,163,163,164,165,167,168,168,168,169,169,170,170,171,169,154,169,169,169,169,168,167,166,164,163,162,161,161,160,168,168,169,169,171,171,172,171,173,175,174,177,174,183,116,152,178,172,173,171,170,169,168,167,166,165,164,161,170,171,172,173,174,174,175,176,178,178,176,148,165,197,120,131,186,175,176,174,174,173,173,171,170,169,167,166,174,175,177,177,178,179,178,180,181,179,188,133,131,206,120,114,192,178,179,178,177,176,175,175,174,172,170,169,177,178,180,179,181,184,184,183,185,181,198,149,117,205,115,113,195,181,182,181,180,178,178,178,177,175,174,172,181,180,182,184,185,185,181,185,187,184,203,154,106,202,128,120,198,184,186,186,184,182,181,180,180,179,176,175,183,184,185,188,186,191,155,152,197,185,205,162,106,198,121,127,200,187,190,190,193,187,184,184,183,181,180,178,187,188,189,190,188,198,163,118,197,187,207,166,98,192,109,133,202,190,191,182,157,184,188,186,184,184,183,182,189,190,191,192,191,202,181,99,194,192,204,161,84,193,130,135,204,190,196,187,133,144,200,189,188,188,186,185,190,192,192,193,195,200,182,97,192,196,198,176,89,173,144,135,204,186,177,165,186,148,170,193,191,190,189,187,192,194,194,196,198,199,203,108,173,202,193,188,90,138,150,143,199,193,152,81,168,163,126,194,194,192,190,189,195,196,197,198,199,200,208,141,141,206,195,192,93,126,150,144,192,191,143,136,187,132,151,203,195,194,192,190,197,198,199,199,201,199,195,199,158,168,189,176,124,140,136,124,167,167,137,195,181,110,192,199,196,195,193,192,198,200,200,201,202,204,188,206,191,153,156,154,132,135,128,125,169,161,149,204,152,104,207,198,199,197,196,196,200,203,203,204,203,206,200,202,214,175,147,145,120,125,125,127,165,158,166,212,121,109,214,200,201,200,199,198,202,203,204,206,206,206,207,204,229,196,134,130,111,109,122,131,161,151,169,216,118,133,217,201,202,201,200,199,202,203,205,206,206,206,207,208,231,204,138,104,107,105,118,149,168,140,162,214,126,146,217,202,204,204,203,199,204,205,206,207,208,208,207,208,228,200,146,104,106,105,139,158,181,183,156,200,129,151,218,203,205,205,204,201,205,206,207,208,211,210,210,206,225,196,150,108,99,118,153,171,196,200,164,164,107,147,220,205,206,205,204,203,205,206,208,210,211,211,213,204,223,199,157,109,100,127,168,191,193,193,167,120,75,137,223,207,208,206,205,204,207,209,210,211,211,212,214,206,219,201,158,113,102,126,180,203,199,180,141,93,61,173,218,208,211,209,206,205,208,211,211,211,212,214,215,207,208,200,156,117,109,123,192,207,186,159,123,68,124,222,210,212,212,210,207,206,210,211,211,212,212,214,217,203,195,198,155,128,117,122,188,189,169,143,98,82,209,219,212,212,212,211,208,207,209,210,211,212,213,214,219,205,190,188,148,140,117,123,172,176,161,126,64,155,228,214,215,214,213,212,210,207,208,209,210,212,212,213,215,208,186,179,150,141,111,119,160,162,139,77,98,222,217,216,214,214,213,212,211,209,207,209,211,212,212,213,217,206,193,183,151,139,117,104,142,127,90,77,199,220,215,216,213,214,212,212,211,209,209,211,212,212,212,214,218,201,197,174,133,129,116,97,120,93,65,170,228,215,218,215,215,215,212,211,210,208
4,180,180,180,181,180,179,179,178,178,177,177,175,175,173,172,171,170,169,168,167,167,166,165,165,163,160,159,158,181,181,181,182,181,180,180,180,179,177,175,175,175,170,161,157,165,170,169,168,168,167,166,165,163,161,160,159,183,183,183,182,182,182,181,181,177,166,158,161,165,160,142,124,135,163,165,162,164,167,167,166,164,162,161,160,185,185,184,183,183,183,182,182,179,169,159,146,137,135,137,126,113,130,134,125,129,155,167,167,166,164,163,161,185,185,184,184,184,184,181,177,175,168,158,150,134,109,106,124,117,98,93,97,91,125,165,168,166,165,164,162,186,186,185,186,186,184,177,170,164,149,122,116,128,99,78,105,111,87,73,90,86,100,157,168,166,165,164,162,187,187,187,187,187,185,179,172,160,146,111,89,110,99,75,88,97,76,73,96,91,89,147,168,167,165,164,163,188,188,188,188,187,185,168,145,131,141,120,90,102,114,100,94,91,72,80,101,94,89,146,169,167,166,165,164,189,189,189,189,188,187,167,125,91,113,134,111,108,125,132,120,102,93,94,104,105,96,143,169,168,167,165,165,190,190,190,190,189,186,164,120,74,75,121,116,99,108,124,126,108,104,104,104,107,90,123,167,170,168,166,166,191,191,191,191,189,183,155,119,92,80,84,88,79,77,86,104,105,102,100,98,96,84,99,158,170,169,167,167,192,192,192,191,190,183,163,143,118,91,69,66,71,70,71,79,90,93,93,94,99,92,85,142,170,170,168,166,192,193,192,192,191,185,169,149,119,88,67,65,71,77,84,78,72,73,92,112,117,103,83,121,168,170,168,166,193,193,193,193,192,187,172,143,110,82,66,66,76,90,95,93,92,99,114,130,130,115,92,102,160,170,169,167,193,194,194,194,192,187,169,140,110,82,68,72,84,98,107,111,124,140,140,134,142,133,103,90,148,171,170,169,194,195,195,195,192,188,174,151,121,91,73,75,87,107,121,128,140,154,157,147,142,131,103,81,138,171,171,169,195,195,195,195,194,188,176,156,129,98,76,76,91,113,129,141,151,160,159,148,133,114,89,79,142,172,171,170,195,195,195,195,194,186,175,162,139,110,85,78,88,114,136,151,161,164,155,139,122,99,75,93,158,173,171,170,195,195,195,195,193,183,171,165,147,121,97,82,85,116,146,160,168,165,150,130,112,87,71,123,170,174,172,171,195,195,195,196,193,181,168,163,149,127,105,89,89,119,153,163,165,157,140,120,101,78,86,154,175,174,173,171,195,196,196,197,194,180,165,159,150,132,111,97,96,124,156,159,156,146,128,109,90,74,118,172,176,175,173,171,196,196,198,197,196,182,164,158,154,139,117,106,103,127,153,154,147,133,115,98,78,83,150,178,177,175,173,172,197,197,198,198,197,187,167,161,157,143,124,112,105,127,147,147,140,122,102,84,70,112,171,180,178,175,174,173,197,198,198,198,198,193,174,166,162,148,130,114,104,121,140,138,128,108,88,71,84,151,180,180,179,176,175,173,198,199,198,198,198,194,180,173,164,149,134,118,104,112,128,124,110,91,73,71,128,176,182,180,179,177,175,173,199,199,199,199,199,195,185,176,163,149,136,121,108,107,114,109,94,76,64,105,167,183,182,180,178,177,175,174,199,199,199,199,199,195,185,175,161,148,136,124,114,106,104,99,84,66,78,151,182,183,182,180,178,177,176,174,199,199,199,199,199,192,184,173,162,152,144,134,124,111,101,94,77,62,106,175,186,184,182,180,179,177,176,174
21,154,156,158,159,160,160,160,161,162,162,162,164,164,164,164,163,163,162,162,164,163,162,161,160,159,158,157,156,157,159,162,163,164,163,164,165,166,167,163,143,163,167,167,167,166,166,167,167,166,165,164,163,161,160,160,159,161,163,165,166,168,168,168,168,169,171,171,115,145,173,170,171,171,170,169,169,168,168,167,166,165,165,164,162,165,166,168,169,170,171,172,173,173,174,175,116,126,177,175,174,172,174,173,172,171,171,170,168,168,168,166,165,168,170,172,173,174,174,175,176,176,177,179,118,112,178,177,165,140,162,178,176,175,174,173,172,172,171,170,167,172,173,175,177,179,179,179,180,180,180,187,134,107,177,180,161,118,124,182,180,178,177,176,175,176,174,173,171,175,177,180,181,182,182,182,182,183,182,196,162,110,168,185,161,119,109,181,184,182,181,180,179,178,176,175,173,178,180,182,182,184,184,185,186,186,185,199,172,112,154,188,163,121,105,176,188,185,184,183,182,180,180,179,177,181,182,185,185,186,187,188,188,188,187,200,182,127,142,191,171,141,111,172,190,188,187,186,186,184,183,182,180,183,185,186,188,188,189,190,190,190,189,181,170,146,133,192,170,142,112,170,192,190,189,188,187,186,186,184,182,186,189,188,189,190,191,191,192,192,197,175,137,125,122,191,167,151,113,169,196,193,191,190,189,189,188,187,184,188,189,190,191,192,193,193,195,194,209,196,148,94,106,186,171,165,126,169,198,195,193,193,192,191,190,189,188,189,191,193,194,195,196,196,196,197,207,204,155,115,141,150,142,147,130,139,197,197,196,195,194,194,193,191,190,191,193,195,196,196,198,199,197,190,177,187,157,109,124,121,132,127,130,120,176,200,198,197,196,195,194,193,192,194,196,197,199,199,201,201,200,182,131,145,168,98,64,99,115,105,159,138,144,201,200,200,199,198,196,195,194,195,197,199,201,201,202,202,203,190,144,109,171,126,70,77,80,133,190,166,125,185,202,201,200,200,198,197,195,196,199,200,201,201,202,205,198,188,167,107,154,141,73,90,144,143,184,171,121,141,204,202,201,201,199,199,198,198,200,200,202,203,204,206,207,178,164,110,91,92,62,96,178,178,167,141,107,105,195,204,202,201,200,200,199,199,201,201,203,205,206,204,198,163,152,110,78,66,79,135,189,191,162,118,94,102,194,206,204,202,201,200,200,200,202,203,206,208,207,204,199,186,144,130,109,82,122,182,200,186,157,115,89,123,206,207,206,204,203,202,201,201,203,204,206,207,209,206,206,183,160,142,131,102,157,204,201,187,153,111,84,159,212,208,207,206,205,203,202,202,204,206,207,208,209,208,209,193,171,140,171,164,199,214,207,185,137,100,89,190,212,209,208,207,207,205,203,203,205,206,208,209,210,210,206,200,166,159,175,188,215,224,212,170,121,87,112,209,211,210,209,209,207,206,205,204,206,207,208,210,210,210,196,195,178,172,163,184,207,216,196,149,110,83,148,216,214,211,210,210,208,208,206,204,205,206,208,209,210,210,193,190,183,175,162,175,192,191,165,123,95,91,189,216,214,213,212,210,209,210,209,202,205,206,208,208,209,212,202,182,178,173,168,161,166,167,136,99,82,138,214,215,214,213,212,211,209,207,194,203,205,207,208,209,209,212,211,183,176,170,171,153,151,153,121,87,90,192,215,215,214,213,212,211,208,199,138,205,206,208,208,210,211,212,213,188,170,158,158,144,140,141,113,78,114,211,215,215,215,214,212,213,181,148,108
12,148,152,155,158,160,162,164,166,169,170,170,170,171,173,172,170,170,173,174,169,170,169,168,169,169,168,167,165,149,152,156,158,160,164,166,168,169,170,171,172,172,165,164,176,173,149,151,176,171,172,172,169,170,169,169,167,150,153,156,159,162,164,167,169,169,172,174,171,183,170,140,150,184,166,123,141,163,138,157,175,171,171,170,169,151,155,157,161,163,166,168,169,171,173,173,173,200,197,175,131,137,194,164,106,117,142,110,166,175,172,172,170,153,156,158,161,164,168,169,171,172,174,170,192,185,188,186,145,93,157,167,113,78,131,113,114,179,172,172,172,155,157,159,162,166,168,170,172,174,174,171,201,159,175,186,134,90,146,155,110,80,110,117,84,170,175,173,173,156,158,161,164,167,170,172,175,174,176,179,142,121,178,168,122,83,152,147,101,84,117,106,88,175,174,174,173,157,160,163,166,169,172,175,173,182,199,181,123,89,131,160,138,75,140,174,118,86,139,111,102,183,173,174,174,159,162,165,168,170,173,172,186,199,192,184,140,90,94,169,135,65,146,183,111,93,171,112,130,185,174,175,175,161,163,167,169,174,173,185,200,164,166,192,145,90,59,131,121,45,91,170,101,84,150,113,167,182,178,177,177,162,166,169,171,175,175,197,193,166,148,177,136,94,57,69,72,68,94,105,118,123,130,88,154,186,177,178,178,164,168,171,174,175,183,189,165,143,114,161,137,97,61,68,73,145,185,152,149,133,123,104,111,188,179,179,178,165,169,172,176,177,179,195,171,150,103,140,137,94,66,78,118,167,178,168,147,123,99,113,95,174,184,179,179,167,171,174,177,177,181,197,175,154,117,119,140,116,72,101,157,176,172,166,149,122,99,96,94,180,184,181,181,169,173,176,179,179,190,200,182,162,138,104,131,131,82,157,183,180,174,171,136,116,98,72,128,193,181,180,179,172,175,178,181,181,196,202,188,169,144,119,112,110,135,187,185,186,184,161,121,110,89,77,176,186,186,189,188,174,177,180,182,182,198,199,191,175,150,140,126,123,163,175,182,189,179,143,114,107,71,121,204,189,174,148,121,176,179,181,184,184,194,195,195,179,158,152,137,131,158,163,184,188,166,130,108,98,72,153,142,103,74,59,56,179,182,184,185,187,187,198,196,182,166,161,146,134,165,160,187,181,149,118,101,89,70,68,53,50,52,53,51,181,184,186,188,191,185,196,191,180,170,166,152,137,164,173,169,162,132,107,94,81,53,50,51,52,49,53,46,183,186,188,190,194,188,191,192,181,170,162,153,145,155,172,154,139,118,100,92,60,39,55,53,42,44,55,50,184,186,189,191,194,187,186,196,181,169,159,149,138,143,159,146,127,110,95,83,51,32,46,59,45,37,48,55,185,187,189,191,196,186,189,194,175,162,157,147,133,142,152,138,112,103,90,65,61,35,34,51,56,39,39,51,186,189,192,194,198,187,191,190,161,152,153,142,131,144,142,127,100,93,57,45,62,48,24,39,53,49,34,41,187,190,193,195,199,185,191,196,161,159,160,149,140,146,131,115,96,76,41,34,53,58,27,28,44,53,43,33,188,191,194,195,202,170,187,198,168,174,172,153,139,142,124,110,91,59,49,31,42,57,39,21,34,50,51,35,193,195,198,197,212,125,170,203,182,192,175,147,140,140,119,105,82,50,48,36,29,49,47,21,26,43,51,43,168,172,177,179,190,95,112,197,183,188,163,137,144,139,115,102,70,56,44,38,24,44,50,26,20,37,49,49
4,134,138,144,147,150,153,155,157,159,161,160,163,164,166,168,167,166,165,166,165,165,166,164,164,163,162,163,162,134,139,145,149,150,151,154,158,160,161,162,164,165,165,166,169,170,164,170,170,167,166,164,164,164,165,164,164,136,142,146,149,152,153,156,159,160,163,164,166,164,177,174,148,153,183,158,153,171,169,167,168,166,165,164,163,138,144,147,150,153,156,157,160,162,160,171,162,170,212,170,144,127,203,156,116,139,174,171,170,168,168,165,164,140,145,147,151,154,157,159,162,159,187,219,181,148,214,181,140,155,208,161,109,100,170,131,165,172,167,167,166,142,146,149,153,155,158,161,164,158,217,238,213,124,171,203,126,169,216,158,97,166,160,92,102,175,166,166,167,141,147,153,154,159,160,162,161,175,222,223,198,113,153,205,123,170,200,142,153,186,121,89,58,152,174,167,168,144,149,153,155,160,161,165,156,201,204,201,184,97,131,175,177,172,183,210,228,166,87,69,57,151,175,169,170,144,148,153,157,161,163,166,158,216,195,182,185,96,99,159,172,199,213,225,206,175,116,61,54,163,174,171,172,144,149,155,159,161,165,162,180,230,193,156,181,103,74,155,94,134,180,187,170,186,138,73,64,174,174,172,172,145,150,154,158,160,167,159,210,215,163,145,125,74,80,160,71,111,166,133,171,198,154,84,95,183,174,174,173,146,152,155,161,162,164,166,230,200,148,126,120,91,95,117,80,105,159,62,180,220,174,104,95,185,174,175,174,149,152,156,161,164,163,173,243,201,148,117,102,85,99,92,106,113,135,114,178,232,190,127,68,161,181,175,176,149,153,158,161,166,162,187,249,200,149,113,95,89,104,103,150,148,177,209,189,206,183,132,75,116,188,175,178,148,154,159,162,168,162,203,251,200,141,114,110,99,92,107,157,175,211,200,201,166,152,143,91,107,189,176,179,148,155,160,163,168,161,214,247,199,138,137,134,102,99,150,201,216,208,199,182,145,115,128,82,137,189,179,179,148,153,157,161,166,161,221,244,196,161,174,144,123,180,222,234,214,207,190,158,127,101,89,84,175,180,178,178,148,153,158,160,166,163,226,243,213,197,193,147,155,225,230,241,218,189,171,142,118,94,67,134,189,177,179,179,149,154,159,162,168,163,224,246,229,203,190,167,160,229,234,235,208,163,153,131,113,79,87,182,181,181,181,181,149,154,158,163,169,163,216,249,233,208,184,171,173,234,230,213,188,150,132,122,101,66,144,190,182,181,181,181,150,157,159,164,169,162,202,247,221,206,186,173,180,215,208,185,162,137,130,116,74,92,188,184,186,182,182,181,151,156,160,164,169,164,201,236,204,198,195,177,176,193,190,169,141,128,127,99,66,158,190,182,183,184,181,180,150,153,160,163,169,164,195,223,189,196,197,173,165,192,187,164,129,114,114,75,119,193,183,183,181,182,181,179,150,157,163,166,171,168,190,218,190,194,188,168,153,189,189,146,109,103,93,99,187,190,189,189,188,187,187,185,118,121,121,121,125,119,149,231,204,201,182,172,148,178,180,126,98,96,78,101,127,120,120,120,118,118,118,121,75,73,71,72,75,66,100,242,222,209,192,183,150,166,178,124,93,82,77,67,64,63,63,61,61,62,60,55,85,85,83,85,88,85,94,232,231,206,192,188,148,146,184,131,89,75,72,76,77,77,75,74,74,72,69,150,85,86,85,86,87,86,81,217,230,200,181,183,151,132,175,127,84,73,70,77,78,78,74,74,77,62,156,227
21,91,107,127,142,151,155,167,176,183,189,192,195,198,201,204,206,208,209,208,207,207,206,205,204,203,201,200,200,90,109,129,143,152,157,169,179,186,191,195,204,205,205,210,212,213,214,214,213,212,211,210,209,208,207,206,205,92,110,130,145,153,159,171,181,187,200,206,150,189,217,213,216,217,218,218,218,216,219,218,214,215,213,211,210,93,112,131,147,154,160,173,183,187,205,214,141,128,224,216,219,220,220,221,222,224,175,197,224,217,217,216,215,95,114,133,148,155,163,176,185,191,200,221,176,101,200,223,219,223,224,224,225,238,159,126,231,222,222,220,220,97,116,135,151,157,165,177,187,195,198,233,195,104,161,233,223,226,226,226,227,244,178,104,218,230,225,225,225,98,119,137,153,159,167,179,189,197,199,232,213,110,121,233,226,228,228,230,233,247,181,103,199,237,226,228,227,99,121,139,155,161,169,181,191,198,201,221,222,135,104,214,231,230,231,232,236,244,171,106,187,241,229,231,230,101,121,140,157,162,171,184,193,201,206,215,240,176,109,184,239,230,234,234,238,239,177,112,186,243,230,233,233,103,124,143,159,164,174,187,196,203,209,212,246,197,118,149,242,232,235,236,241,241,185,114,193,245,232,232,232,104,126,145,161,165,176,189,198,205,211,210,247,209,123,122,233,236,237,236,246,230,174,116,203,243,236,242,247,107,128,148,163,167,177,190,199,205,212,212,245,225,144,112,212,241,238,238,251,215,163,110,225,255,238,208,164,108,130,150,164,168,180,191,201,208,213,215,237,248,182,122,181,247,238,239,255,220,162,113,191,147,101,75,59,110,132,151,166,170,182,194,203,209,215,217,223,233,192,128,149,247,239,243,252,210,166,103,63,51,54,57,70,111,133,153,166,172,183,196,203,210,214,226,216,165,146,134,125,236,242,245,238,195,157,86,53,54,57,47,54,110,132,153,165,171,182,195,204,210,210,240,227,188,201,132,101,210,244,224,211,183,136,77,46,42,59,55,43,112,134,154,166,171,183,196,203,211,212,247,252,232,230,149,103,129,179,189,190,158,114,56,59,37,45,62,51,112,135,155,166,172,184,197,203,211,212,246,255,251,222,163,118,97,114,159,175,143,103,30,49,57,32,49,56,109,133,155,166,172,184,196,204,217,175,175,223,249,225,198,142,125,120,114,127,125,98,28,26,62,49,35,49,121,137,154,165,172,185,194,209,237,180,151,143,217,192,210,177,156,159,114,83,101,97,42,12,44,63,42,39,117,116,122,125,128,134,127,188,251,223,194,134,141,169,153,182,171,162,141,100,81,86,59,11,26,56,57,45,118,117,119,119,120,125,111,191,225,231,211,159,106,114,120,100,142,168,164,138,102,74,68,20,15,44,58,52,122,124,123,124,127,129,117,194,195,174,218,177,113,78,119,85,79,188,198,174,145,99,71,35,11,31,55,52,123,125,124,126,128,130,118,205,221,164,177,196,126,100,97,108,81,152,232,204,172,132,93,53,14,19,48,53,124,124,124,125,127,130,120,206,220,178,122,152,160,147,107,116,113,160,183,230,197,150,113,84,26,9,38,54,123,124,124,124,126,131,118,191,223,160,117,110,146,171,128,135,148,190,171,213,218,166,124,103,43,7,23,49,123,124,124,125,126,130,118,164,220,166,154,132,119,146,154,168,186,203,234,210,194,144,134,108,53,20,12,37,122,123,123,125,125,128,121,145,229,198,169,136,135,150,174,192,227,228,232,203,169,106,126,101,54,36,10,21
7,166,176,183,183,189,196,202,206,209,211,214,216,218,221,223,224,225,226,227,227,226,226,227,226,224,225,223,222,167,177,183,184,190,196,203,207,210,213,215,217,221,223,224,225,227,229,229,229,229,230,231,228,227,226,225,224,170,178,183,186,191,198,203,207,212,214,217,219,222,224,226,227,229,230,230,231,231,230,231,230,229,229,227,225,170,179,182,186,191,199,203,207,213,215,217,220,223,226,228,229,230,231,232,232,231,232,233,232,231,230,229,228,172,180,183,186,193,200,204,208,212,217,219,223,225,228,229,230,231,233,232,232,233,233,233,233,233,232,231,229,174,182,187,189,195,200,205,210,214,216,221,224,227,230,230,232,232,235,235,234,234,234,233,234,234,233,232,230,176,183,189,191,196,203,208,212,215,219,225,226,229,232,233,236,235,237,237,237,237,236,236,235,236,234,234,231,175,184,189,192,198,201,205,214,215,219,222,223,224,231,233,233,235,238,238,238,240,237,236,236,237,235,235,233,175,185,191,191,194,209,235,237,223,227,239,238,238,234,224,218,229,224,226,226,231,239,241,240,238,238,237,236,177,186,185,194,228,254,255,246,221,211,230,243,248,243,221,222,245,227,214,204,187,217,226,239,240,239,238,239,173,185,218,252,255,254,255,244,211,202,213,226,232,231,205,204,225,212,204,196,184,201,185,240,247,242,240,240,205,247,255,255,253,255,255,229,205,203,220,246,251,255,235,229,223,214,229,219,201,194,201,214,226,243,242,241,255,255,255,255,255,255,255,243,179,165,174,201,207,211,216,223,220,222,230,234,222,217,221,200,215,212,238,241,255,255,255,255,255,255,255,235,164,140,151,136,118,142,166,179,184,186,186,192,194,195,197,189,205,192,241,245,255,255,255,255,255,255,255,196,149,143,145,148,121,95,115,229,232,236,233,228,222,214,214,211,210,231,245,242,255,255,255,255,255,255,249,187,133,136,158,159,154,129,126,246,247,247,248,250,251,250,251,250,248,246,243,243,255,255,255,255,255,255,255,175,131,116,107,152,178,148,120,215,251,244,247,246,246,245,243,244,243,243,244,242,255,255,255,254,255,255,211,165,135,134,101,113,151,151,146,227,250,245,247,248,249,247,247,247,245,246,245,245,252,250,236,226,234,218,181,162,152,138,131,121,159,191,220,245,245,246,248,249,249,250,249,249,246,246,246,246,234,223,217,213,216,190,156,149,144,147,129,127,226,248,245,244,245,248,248,249,249,251,249,248,249,249,246,245,203,204,192,176,163,162,182,193,168,166,167,193,240,239,241,245,248,248,249,249,248,249,250,249,248,248,247,246,167,163,152,154,174,203,219,226,229,229,235,238,238,241,243,246,247,249,248,249,249,248,250,248,246,246,246,245,138,131,132,157,169,164,162,163,163,163,164,163,164,166,168,166,167,169,170,167,165,164,163,162,160,160,159,157,111,131,139,134,139,137,135,132,132,132,132,132,134,135,132,129,129,131,132,133,134,133,133,131,127,126,127,126,131,138,144,144,145,146,145,144,146,146,147,145,145,145,143,148,148,143,142,141,141,142,141,139,135,138,137,127,134,138,144,145,145,146,144,141,143,144,144,142,142,141,140,148,150,147,148,141,139,138,138,137,138,134,127,171,135,133,145,146,146,145,144,144,145,145,144,144,145,143,143,142,140,141,143,140,139,138,137,140,133,145,212,243,133,126,141,148,147,148,147,146,147,148,147,146,146,146,146,144,142,141,142,140,142,138,137,135,139,237,230,206
22,133,137,140,143,146,149,152,156,158,161,165,164,165,166,167,169,170,171,168,169,170,170,172,171,171,170,171,170,136,140,143,146,149,152,157,159,161,164,166,167,170,171,171,172,172,174,173,173,174,174,175,175,174,174,174,174,138,144,146,149,152,155,159,162,165,167,170,170,139,170,175,176,172,140,176,175,171,177,179,179,178,178,178,176,140,145,149,152,155,158,161,166,168,170,175,163,100,160,181,183,179,97,168,183,145,141,185,181,181,180,181,181,143,147,151,154,157,161,164,168,171,173,183,156,85,162,182,192,177,101,172,192,145,109,188,184,184,183,183,184,146,149,153,157,160,164,167,171,173,175,187,154,82,164,183,199,174,109,178,193,143,105,188,186,186,187,187,187,148,152,156,159,162,166,170,173,177,177,190,164,86,165,187,200,162,113,183,197,151,111,190,189,189,188,189,189,150,154,158,162,165,169,172,176,181,179,192,176,89,158,190,198,147,110,186,195,149,117,193,192,192,191,191,190,153,157,160,164,168,172,175,179,183,182,197,179,89,156,194,187,134,112,190,195,148,118,197,194,194,194,194,194,154,158,162,166,170,172,176,181,185,185,199,190,100,148,201,166,129,110,196,197,149,124,200,195,195,195,196,196,155,160,164,167,170,174,178,181,186,187,195,204,143,127,134,148,138,114,201,201,142,132,202,196,197,198,197,198,157,162,165,169,173,176,180,183,187,189,194,196,169,141,121,121,134,129,206,196,132,145,206,199,199,200,201,200,159,163,167,171,173,178,181,186,189,189,202,217,187,178,177,155,109,136,201,189,123,160,206,201,201,201,202,202,160,165,169,172,176,179,183,187,190,193,199,183,187,143,189,174,119,94,162,157,109,176,206,203,202,203,203,203,162,167,171,174,179,181,185,189,192,196,192,161,170,91,121,180,149,94,94,113,93,186,206,204,202,204,204,204,163,168,172,176,180,182,185,190,193,202,203,161,159,112,53,147,184,134,84,81,93,200,207,205,205,205,206,206,164,169,173,176,180,185,188,191,193,208,196,150,140,119,71,100,202,170,113,77,95,206,208,207,207,208,207,207,165,170,173,177,180,185,189,193,193,214,204,157,116,97,88,158,210,180,135,98,96,208,209,209,209,209,208,208,166,171,174,177,182,185,188,193,195,219,199,151,117,122,127,216,207,165,132,102,97,212,210,209,210,209,209,209,167,172,176,179,182,187,190,194,198,214,193,152,141,128,166,216,191,152,113,86,115,214,210,211,211,212,212,211,168,173,177,181,185,188,192,196,197,211,189,151,146,124,188,214,174,139,107,79,139,219,213,213,213,215,215,215,168,173,177,181,184,189,193,195,197,205,187,150,157,133,200,213,163,128,98,79,149,220,215,216,217,217,216,216,168,173,178,180,184,189,193,196,198,199,188,157,171,138,193,197,156,121,93,74,162,221,215,216,217,217,217,217,168,173,177,181,184,187,193,196,200,196,188,163,172,140,182,178,143,115,89,74,180,218,215,216,216,216,218,217,170,174,178,182,186,188,193,196,199,199,193,167,160,132,163,159,127,112,88,83,197,215,216,216,216,216,217,216,170,174,178,183,186,189,193,197,199,198,193,162,137,121,155,137,123,113,86,120,214,215,215,216,217,217,217,216,169,174,178,182,186,190,193,197,196,200,196,167,141,138,160,124,133,102,80,182,219,217,217,217,217,217,217,216,169,174,178,182,186,189,194,197,192,204,203,178,162,145,159,120,132,82,123,216,216,216,217,217,217,217,217,217
4,189,189,189,190,191,192,191,189,192,191,191,193,193,193,192,193,193,193,193,192,195,192,189,189,191,189,188,188,191,191,191,192,192,193,193,193,193,194,193,194,193,193,193,193,194,194,193,193,193,193,193,193,192,193,190,189,193,194,194,193,193,194,193,194,194,194,193,193,193,195,198,195,195,197,200,196,194,193,194,193,193,193,192,190,193,195,195,194,195,195,194,194,195,196,196,197,196,180,171,191,194,174,170,196,199,198,194,194,194,194,194,191,194,195,196,195,196,196,196,195,195,195,185,193,228,201,157,148,206,177,134,135,192,182,198,199,196,196,195,194,195,195,196,198,196,196,199,198,196,210,204,175,179,233,185,133,212,203,150,96,165,138,127,197,199,196,195,195,196,195,196,197,199,199,200,197,202,223,222,191,133,211,200,121,205,211,152,136,200,160,90,129,208,195,198,196,197,199,199,200,199,201,202,197,212,201,214,192,130,183,202,102,181,214,136,140,206,159,101,104,208,199,199,199,198,200,200,201,201,201,200,202,224,174,201,197,114,160,208,124,142,191,117,150,215,182,102,119,212,199,202,198,198,200,200,201,203,202,198,214,208,140,156,205,127,135,210,182,168,169,174,201,220,186,116,137,214,200,203,200,199,200,200,201,203,202,202,218,207,174,146,176,127,106,143,181,182,183,199,201,197,168,144,109,202,204,203,202,200,200,200,201,203,202,214,216,196,179,148,123,92,94,112,109,150,159,167,180,168,151,170,95,162,215,202,203,200,201,201,201,203,203,216,203,171,144,137,118,92,101,124,86,121,127,130,144,130,169,177,116,116,216,202,204,200,202,202,202,204,203,220,207,172,134,111,105,99,114,121,118,155,153,126,88,156,213,185,149,91,186,211,203,200,202,202,203,205,204,229,222,189,147,112,92,99,123,112,153,179,171,141,158,176,208,203,180,105,132,220,203,200,201,202,203,204,207,227,226,196,151,111,97,99,125,139,184,170,180,191,210,207,194,209,172,115,101,213,206,199,200,202,202,201,208,229,228,208,152,112,113,104,110,148,170,179,204,210,202,205,188,174,151,121,90,197,209,199,200,202,202,201,209,230,224,214,154,121,137,120,126,160,175,200,208,205,198,190,178,146,128,108,105,204,207,200,201,201,203,202,212,225,222,201,161,156,143,127,174,196,209,215,210,200,187,174,157,131,105,89,176,212,206,200,201,201,203,201,211,226,222,206,182,170,148,127,192,215,214,220,208,191,175,161,141,117,83,145,215,207,208,201,202,202,203,202,204,228,220,218,197,170,169,137,180,218,215,215,197,173,162,151,128,97,109,208,209,210,208,201,201,201,202,204,195,221,223,225,206,182,172,152,178,217,210,202,185,162,149,132,113,86,180,216,208,209,208,205,205,206,205,208,196,210,221,212,195,185,170,159,175,205,198,187,172,149,136,120,88,126,216,208,210,209,208,179,183,188,188,193,186,206,224,202,184,185,175,162,173,186,185,169,152,136,128,108,90,199,220,216,216,216,215,105,107,106,108,114,102,190,224,198,191,193,183,165,171,182,178,165,138,123,119,91,118,182,178,186,188,182,181,102,101,99,100,103,85,182,226,200,199,194,184,166,173,186,184,163,122,112,102,93,98,100,100,92,94,128,142,104,103,104,105,108,90,184,231,202,199,198,193,169,167,185,180,143,108,101,90,99,102,97,101,141,170,208,225,102,102,104,104,109,88,179,235,204,200,206,209,172,154,182,166,123,102,92,95,116,117,143,184,233,216,171,195
12,174,177,180,182,184,185,187,190,192,193,194,195,196,196,197,198,198,198,199,198,198,200,200,199,200,201,201,200,176,178,180,183,185,188,190,192,193,195,197,197,198,198,199,199,199,200,201,199,200,202,200,200,201,203,203,203,178,181,183,185,188,190,191,193,196,198,198,199,200,200,199,201,202,202,202,201,202,203,201,202,204,204,204,204,179,183,184,187,189,191,194,196,198,199,199,199,205,207,206,203,205,205,208,209,203,204,205,205,206,206,205,205,181,184,186,189,191,192,195,197,199,201,200,202,198,183,190,207,207,194,171,184,209,204,207,207,206,206,207,207,183,185,188,190,192,194,197,200,201,202,201,217,206,176,144,190,223,200,166,116,203,211,207,215,209,208,208,208,184,186,190,192,195,196,199,201,202,203,202,238,229,203,163,138,227,200,174,133,147,164,158,168,214,209,210,210,185,188,190,193,196,199,200,203,204,205,208,237,240,213,176,132,222,211,177,151,88,146,157,112,170,221,211,213,188,190,191,195,197,199,201,204,206,206,215,227,243,230,193,146,211,223,175,136,89,170,167,109,114,222,211,214,190,191,194,197,198,200,203,205,207,205,216,181,161,220,200,141,188,210,159,118,92,178,169,107,104,217,215,215,191,193,196,198,199,203,204,206,204,225,221,159,115,156,186,124,173,188,153,126,91,167,165,116,102,217,217,217,192,194,196,199,201,204,207,205,224,230,213,166,139,116,168,118,159,187,147,118,92,171,160,119,106,220,217,218,193,195,198,200,202,205,206,214,224,200,217,184,152,104,130,120,142,183,152,111,103,189,177,123,113,227,219,219,194,196,199,201,204,206,205,221,206,167,208,182,146,105,100,146,137,200,179,121,131,237,205,126,147,232,218,220,194,197,199,203,205,207,210,224,213,173,177,180,150,104,85,150,125,177,171,112,108,204,166,92,134,232,220,220,195,197,200,204,206,207,213,219,200,163,161,190,137,109,60,89,71,81,161,122,143,173,125,116,96,173,231,218,197,198,201,204,208,208,216,228,203,170,152,183,126,109,68,59,59,140,209,207,200,188,160,134,105,127,232,219,197,199,202,205,208,209,220,227,201,169,134,166,126,117,67,72,125,208,212,205,189,175,149,124,100,147,233,220,197,200,202,205,208,207,221,226,203,182,147,134,138,131,77,105,195,220,222,210,180,165,142,118,95,180,234,223,198,201,203,206,209,208,221,226,208,192,177,145,127,119,126,167,229,223,232,204,170,157,135,114,100,206,232,225,199,202,204,207,210,211,221,227,216,197,186,180,154,142,167,181,229,230,230,194,160,148,126,104,129,227,226,226,200,202,204,207,210,211,219,226,218,203,192,188,180,154,159,172,232,231,211,184,155,137,121,96,175,236,226,226,201,203,206,209,210,212,215,219,214,208,197,188,179,161,149,179,232,225,194,173,149,128,114,100,210,231,226,227,201,204,208,211,211,214,215,213,212,209,196,190,178,162,145,180,216,211,177,158,138,120,103,123,233,226,227,228,200,204,207,210,212,213,217,215,215,215,197,190,180,164,141,178,201,187,162,144,128,117,94,173,239,227,230,230,202,204,206,209,210,212,214,215,219,210,193,184,173,154,136,175,184,160,148,129,119,106,117,224,230,230,230,230,202,204,205,209,211,213,214,213,221,202,180,172,154,136,141,169,171,148,140,122,115,101,179,233,226,227,229,229,202,204,205,209,212,213,212,211,225,199,182,171,144,139,147,169,165,146,133,119,105,137,231,225,226,228,230,229
0,198,199,198,198,197,197,198,197,196,195,193,194,193,191,190,190,189,188,186,185,184,182,182,180,179,177,175,175,198,200,199,199,199,198,198,198,197,195,194,196,195,194,192,191,191,190,189,188,185,183,182,180,179,178,177,177,199,200,200,200,201,200,201,200,198,197,196,196,195,195,194,193,190,189,189,187,186,186,182,181,180,179,178,176,201,202,201,201,202,202,202,202,199,198,198,198,201,201,195,197,197,192,187,187,186,186,186,183,182,180,177,177,200,203,204,204,203,203,201,200,203,204,199,183,147,160,201,176,158,178,197,192,193,191,184,187,184,182,179,178,203,205,205,205,204,201,201,192,166,179,196,159,121,85,140,143,106,83,166,159,142,172,191,179,183,183,181,180,205,205,204,205,204,203,202,180,143,115,153,174,125,84,97,156,117,75,75,124,86,67,160,144,141,190,180,179,206,206,205,205,204,205,204,199,170,135,101,171,135,95,97,162,126,83,81,143,111,52,79,141,104,192,181,180,207,207,207,206,204,209,199,189,177,148,85,151,144,100,96,161,129,84,68,137,113,61,48,129,95,182,185,182,208,207,207,207,205,212,195,148,178,126,72,154,139,91,88,151,117,73,48,111,90,50,43,129,80,142,195,183,209,208,208,208,207,206,164,116,171,104,69,145,112,65,79,135,101,59,53,129,103,38,49,136,109,83,181,186,208,208,209,209,210,207,180,145,169,117,87,135,112,62,77,138,101,46,101,156,113,28,55,136,126,70,123,199,209,211,210,209,213,202,175,144,149,128,91,142,135,65,97,158,117,51,135,165,79,21,110,147,126,59,107,199,210,212,212,211,207,173,138,117,101,83,76,156,133,60,108,165,123,55,22,61,14,66,152,150,106,45,159,190,212,212,213,213,207,177,142,110,77,64,60,97,104,55,49,105,81,50,57,18,46,144,153,135,65,92,198,185,213,212,214,209,199,175,147,111,84,82,85,76,86,82,63,68,110,148,156,136,117,147,135,100,46,167,194,186,214,214,215,209,198,180,151,118,87,78,86,95,115,131,138,158,171,159,145,146,112,116,120,55,83,202,187,189,214,215,215,213,203,181,155,129,99,86,89,106,144,159,173,176,168,152,139,132,99,89,96,30,153,200,189,189,215,215,215,212,205,181,160,137,111,110,94,137,179,178,179,174,162,144,135,126,87,72,45,73,203,194,193,189,215,216,215,212,209,188,167,146,130,126,131,175,186,181,181,172,156,139,127,109,74,39,45,180,198,194,194,191,215,216,215,213,210,190,172,156,143,135,168,180,184,187,180,160,148,130,111,90,43,34,174,202,193,195,194,193,215,217,216,209,206,196,179,162,144,141,179,180,187,185,169,146,131,118,96,59,24,163,206,194,197,197,194,192,215,217,217,208,203,198,183,167,146,140,176,182,177,171,151,130,113,100,68,22,149,211,195,198,197,198,195,195,217,218,218,212,204,201,188,178,159,143,170,179,164,152,134,113,94,63,20,136,215,199,201,199,197,198,196,194,216,216,220,215,208,196,188,179,168,151,168,167,151,134,121,97,61,19,132,215,200,203,200,200,198,197,196,196,216,216,219,213,204,193,200,194,179,160,162,156,132,118,105,65,18,139,219,202,204,205,202,201,200,197,195,196,217,217,218,211,207,192,203,195,172,157,150,145,118,96,78,29,142,222,204,207,207,205,203,202,199,199,197,195,219,219,216,207,199,181,197,182,165,155,143,125,105,85,40,93,224,207,209,206,207,204,204,202,199,200,199,197
24,94,101,110,122,131,137,143,147,153,156,160,162,164,165,166,166,164,163,162,161,159,156,155,155,153,150,147,144,97,102,113,127,136,142,148,152,157,161,165,167,170,171,171,171,171,169,168,168,166,164,162,160,158,155,152,151,100,105,117,130,139,146,151,156,161,166,169,173,175,175,175,176,175,175,174,174,172,170,168,167,165,163,159,157,102,108,120,133,142,149,154,158,164,169,174,177,178,177,179,180,180,180,179,177,176,174,173,172,170,168,164,161,104,109,121,136,146,152,158,162,167,172,177,180,182,182,183,183,183,182,182,181,181,180,178,177,176,174,170,168,107,112,133,142,148,155,161,166,170,175,180,183,184,184,185,187,186,186,185,184,184,184,182,182,182,180,176,173,104,131,142,103,156,158,163,168,173,178,182,185,187,187,188,190,189,188,188,188,187,187,187,186,185,184,181,178,105,142,128,59,154,161,165,170,176,181,185,187,186,189,190,192,197,192,189,191,190,189,190,191,188,185,184,182,107,150,128,53,149,164,168,174,180,182,185,190,197,195,196,167,137,190,194,190,192,194,192,187,195,190,186,182,109,155,115,47,147,167,169,173,177,189,187,188,150,171,227,168,87,103,199,196,187,166,148,101,120,198,188,193,111,149,109,45,147,168,180,161,115,157,206,196,108,74,148,179,125,65,170,184,169,134,83,51,155,212,188,154,112,148,125,48,138,169,198,194,153,126,189,199,129,85,73,179,145,85,112,143,181,101,60,154,174,112,39,10,115,151,142,60,117,175,190,222,210,163,113,200,158,124,77,159,147,79,57,166,148,58,49,63,17,0,3,0,120,141,164,119,124,165,188,186,221,191,117,132,190,133,69,99,123,52,91,187,96,39,4,0,12,17,10,7,123,128,178,155,146,169,189,141,165,196,122,63,181,158,82,31,48,57,152,156,63,11,1,0,0,15,10,1,125,128,164,179,172,196,197,172,140,161,117,44,147,176,92,17,25,123,161,116,38,0,0,10,0,0,12,8,127,134,153,207,183,164,171,154,120,136,125,71,85,126,57,47,86,127,124,78,11,3,0,0,3,0,2,13,125,137,148,205,185,143,158,141,98,105,129,101,67,66,121,152,139,136,92,47,0,6,0,0,0,0,0,6,126,139,149,193,196,124,111,125,105,107,129,143,115,138,215,197,160,148,74,26,0,0,11,0,0,0,0,0,86,94,89,139,200,143,94,111,154,119,172,208,184,211,222,188,159,137,62,25,0,0,3,7,0,0,0,0,73,76,68,97,206,178,120,93,141,138,186,207,215,228,213,176,149,120,50,12,0,0,0,8,0,0,0,0,79,81,81,84,188,193,146,108,108,145,171,214,222,217,195,163,137,110,43,0,3,0,0,2,1,2,0,0,80,82,85,76,166,203,169,130,108,137,156,211,221,206,181,151,125,108,48,0,6,0,0,0,3,0,0,0,78,80,85,73,138,205,182,145,125,136,144,198,214,191,170,147,116,98,45,0,1,0,0,0,1,0,0,0,77,80,82,76,104,196,186,160,136,142,134,181,204,180,167,146,100,84,36,0,0,0,0,0,0,0,0,0,78,78,80,81,79,166,186,171,147,150,132,155,190,173,170,137,85,74,15,0,0,1,0,0,0,0,0,0,77,78,78,80,75,110,188,180,160,152,137,130,165,164,156,123,76,65,3,0,0,3,0,0,0,0,0,0,76,77,78,78,81,75,152,185,164,151,133,113,128,146,129,102,74,50,0,0,0,0,0,0,0,0,0,0
21,70,87,107,123,133,137,149,159,167,172,176,180,182,186,189,191,193,193,193,192,191,191,190,188,187,186,184,184,69,88,110,125,134,139,152,162,170,175,179,188,190,190,195,197,198,199,199,198,197,196,195,194,193,192,190,190,71,90,111,126,136,141,154,165,170,184,191,132,173,202,198,201,203,203,203,203,201,204,204,199,200,197,196,195,73,92,112,129,137,143,156,167,171,189,199,123,109,209,201,204,205,205,206,207,210,158,181,209,202,202,201,200,75,94,114,130,137,145,159,169,175,185,207,159,81,185,209,205,209,210,209,211,224,141,107,217,207,207,206,205,76,96,116,133,139,147,161,170,179,183,219,180,83,143,219,208,211,211,212,213,231,161,84,203,215,210,210,210,78,99,119,135,141,149,163,173,182,183,218,198,90,102,219,212,214,214,216,218,234,164,83,183,223,212,214,213,79,101,121,137,143,152,165,174,183,186,206,207,116,83,199,217,215,217,218,222,230,154,86,170,227,215,217,216,81,102,122,139,145,154,168,177,185,190,200,226,160,89,168,226,215,220,220,224,225,160,92,170,229,216,218,219,82,104,125,141,147,157,171,181,188,194,197,233,181,98,131,228,218,221,222,228,227,169,94,177,231,218,218,217,84,107,127,143,148,159,173,182,189,195,195,234,194,103,102,219,222,223,223,233,216,158,96,187,230,222,229,233,86,109,129,146,150,160,174,183,190,197,197,232,210,125,92,197,228,224,224,238,200,145,90,210,244,225,193,147,88,111,131,147,151,163,175,186,192,198,200,223,234,166,103,164,234,224,225,242,205,144,93,175,129,80,54,36,90,113,133,148,153,165,178,187,194,200,202,209,219,175,109,131,233,225,229,239,195,148,83,40,29,31,34,48,91,114,135,149,154,166,180,188,195,199,212,201,147,128,115,106,223,229,231,224,179,139,65,30,32,35,24,31,90,114,135,148,154,166,179,188,194,195,226,212,172,185,113,81,195,231,209,196,166,117,55,23,18,37,32,20,92,115,136,149,154,167,180,188,196,197,234,239,218,215,131,82,110,162,173,174,141,94,33,36,14,21,39,28,92,116,137,149,155,168,181,188,196,197,233,249,238,207,145,98,76,94,141,158,125,82,6,26,34,8,26,34,89,114,137,149,155,168,180,189,202,159,158,208,236,211,182,124,105,100,94,108,106,78,4,2,39,26,11,26,101,119,137,148,155,168,178,194,223,163,133,125,202,176,194,160,138,141,95,62,80,77,18,0,20,40,19,16,98,96,102,106,109,116,108,172,238,208,178,115,122,152,135,166,154,145,122,80,59,65,36,0,1,33,34,21,98,98,99,100,101,106,90,174,211,217,196,141,86,94,100,80,124,151,146,120,82,52,46,0,0,21,35,29,103,105,104,105,108,110,97,178,179,157,204,160,94,57,100,64,58,172,182,157,126,78,49,11,0,7,32,29,104,106,105,107,109,111,99,190,206,147,160,180,107,79,77,88,59,134,218,189,155,113,72,30,0,0,25,31,104,105,105,105,108,111,100,190,205,161,102,134,142,129,86,96,93,142,166,216,181,132,93,62,2,0,15,32,104,105,105,105,107,112,99,175,209,142,97,90,128,154,109,117,130,174,154,198,203,149,105,83,20,0,0,26,103,104,104,105,107,111,98,147,205,149,136,113,99,127,136,151,170,188,220,194,179,125,115,88,30,0,0,13,102,103,104,106,106,109,102,127,215,182,152,117,116,132,157,176,213,214,218,187,152,86,107,81,31,12,0,0
0,137,140,143,145,147,149,150,152,153,154,154,153,153,154,154,154,154,153,153,153,153,152,151,151,152,151,148,147,139,140,144,146,148,151,153,154,155,155,156,156,157,155,155,156,155,155,155,155,154,153,153,152,153,152,151,149,140,142,145,147,149,152,154,154,155,156,157,158,159,157,158,159,158,157,157,156,154,154,154,154,152,152,151,151,143,144,147,149,151,154,155,156,156,158,160,160,161,163,159,159,160,162,158,156,155,157,156,154,155,154,152,152,144,146,148,150,153,156,157,157,160,163,162,157,154,141,158,161,130,129,161,161,158,156,158,157,156,155,153,154,145,148,149,152,155,156,158,158,162,149,150,186,152,96,93,168,127,60,125,154,150,139,119,162,157,156,155,155,147,149,150,153,156,157,159,160,172,136,94,168,173,125,75,166,139,89,43,66,113,156,78,152,162,157,158,156,146,150,152,154,156,158,157,167,189,170,116,99,181,129,77,164,142,92,36,93,112,160,103,93,166,157,160,158,147,150,153,155,158,160,159,181,180,179,147,67,145,137,68,161,150,81,61,123,79,152,139,82,109,164,159,159,148,151,154,156,157,159,165,182,133,170,136,47,104,143,70,157,140,61,61,119,45,119,154,122,66,113,171,158,151,154,156,157,159,156,177,185,126,160,107,40,104,119,60,128,112,50,54,107,53,150,179,135,62,84,172,158,152,155,156,158,161,159,186,179,140,153,90,39,100,91,47,91,89,46,51,92,72,176,170,127,47,126,169,161,153,155,156,160,160,166,196,164,115,120,108,45,79,83,41,81,81,24,99,112,129,170,149,89,55,166,163,162,154,156,159,163,162,167,203,180,140,89,71,26,91,109,42,101,93,76,143,134,136,150,111,50,101,178,162,163,155,157,161,163,161,172,202,177,154,120,69,44,78,86,38,79,148,168,148,135,106,105,83,35,145,174,166,164,155,158,162,164,162,180,203,174,157,139,107,65,66,93,107,156,182,167,140,124,94,66,58,43,166,170,168,167,157,159,162,166,163,184,203,177,157,141,122,73,68,110,162,191,183,161,128,113,79,54,28,90,181,167,169,169,158,160,162,166,162,179,202,182,159,146,136,92,79,106,174,189,181,149,118,96,65,37,38,165,173,169,170,170,159,162,163,166,163,175,200,185,163,147,140,109,82,116,185,190,166,134,102,77,52,21,121,180,169,171,171,170,159,162,163,168,166,171,198,187,169,147,134,111,81,128,181,178,146,123,91,62,27,76,183,172,173,171,171,172,159,162,165,168,167,171,199,183,168,149,127,105,88,145,164,146,135,112,79,42,30,161,177,175,175,174,172,172,160,162,165,168,166,171,201,182,171,150,121,102,109,148,128,124,117,91,63,19,119,185,174,176,176,175,173,172,160,162,163,168,160,185,204,186,183,153,124,111,125,139,109,113,94,74,28,78,184,177,179,177,176,176,174,172,160,163,167,165,166,206,197,187,181,147,123,118,128,117,104,101,83,46,54,174,182,179,178,177,177,176,175,173,159,162,167,160,185,198,176,177,173,133,114,122,114,101,95,82,54,43,156,183,180,178,177,178,177,177,174,174,159,161,164,154,195,184,153,144,146,121,109,117,102,91,83,62,38,131,182,177,179,178,178,178,177,176,175,175,158,165,157,160,200,172,142,120,115,98,113,118,80,78,75,31,94,183,179,179,180,180,179,178,176,177,175,175,160,165,150,185,198,160,124,116,102,80,117,105,63,78,50,43,160,181,179,179,180,180,179,178,176,177,177,176
10,127,135,138,140,146,153,159,163,167,170,174,176,179,182,183,186,188,189,191,190,188,193,192,193,192,191,191,190,130,137,140,143,149,155,161,166,169,173,176,179,182,183,185,190,191,192,191,199,205,176,196,196,195,194,194,193,130,139,142,143,151,157,164,168,171,174,177,181,184,185,189,191,192,193,187,221,226,150,194,198,198,197,196,195,131,139,142,145,153,159,164,169,173,176,179,182,186,188,192,194,195,197,190,228,234,152,188,202,199,199,198,198,134,140,143,147,154,161,167,170,174,177,181,184,188,191,193,196,198,199,194,222,249,165,181,206,200,201,202,201,135,143,145,149,156,162,168,171,175,180,183,186,191,193,194,196,198,201,197,218,255,189,170,210,203,204,204,203,137,144,147,151,158,164,169,175,179,183,186,190,192,194,196,198,199,202,199,216,255,207,157,211,206,206,206,206,139,145,148,153,160,166,171,177,182,185,188,192,194,197,197,199,205,205,202,213,255,218,152,210,208,207,208,208,140,147,148,154,161,168,173,178,184,185,188,194,196,195,210,210,171,207,206,212,255,223,147,206,212,209,209,209,142,149,152,155,163,170,175,179,183,193,192,190,197,199,229,227,140,164,213,214,255,230,148,200,216,212,213,213,144,150,153,157,165,172,175,181,181,224,188,137,137,147,191,228,201,167,194,222,255,225,150,187,220,213,215,214,144,150,153,159,167,173,178,183,186,202,165,124,119,127,125,204,251,205,147,224,239,219,163,172,223,215,216,216,145,152,155,161,168,175,180,185,189,193,183,164,150,144,138,149,229,214,142,176,196,199,169,162,225,218,218,218,147,153,157,163,170,177,182,187,192,196,202,198,227,221,131,113,211,242,185,123,132,158,162,143,218,220,220,220,149,154,159,165,171,178,184,188,194,198,198,208,255,220,109,95,168,255,214,143,109,132,147,129,204,225,220,221,150,155,160,165,172,179,185,190,195,201,196,242,255,211,120,120,114,255,238,182,125,118,145,128,194,229,220,222,151,157,159,166,173,181,186,191,197,202,199,238,255,244,143,87,131,246,255,206,146,112,140,130,198,232,223,225,152,158,160,168,175,182,188,192,198,202,204,211,250,255,178,126,156,245,255,203,149,120,131,126,203,234,226,226,153,158,162,169,177,184,190,194,199,202,206,205,231,235,175,162,170,254,247,218,167,130,129,123,209,233,227,229,155,160,163,171,179,184,190,196,200,204,207,211,210,228,226,187,204,255,244,226,188,143,128,121,215,233,229,231,157,161,165,172,179,185,191,196,202,205,209,214,212,247,255,236,237,255,248,219,192,156,132,118,217,234,230,231,156,160,164,172,179,185,191,196,201,206,209,214,213,237,255,252,255,255,248,219,193,163,138,120,219,235,233,233,156,160,163,171,179,184,189,195,200,204,209,213,213,226,255,255,255,255,247,219,189,171,145,121,220,235,232,232,157,162,164,173,181,187,192,197,202,206,211,214,216,223,255,255,255,255,243,219,196,177,149,117,219,235,233,233,157,161,165,173,181,187,193,198,203,207,211,215,218,218,255,255,255,255,241,227,204,175,145,120,228,236,234,235,157,161,166,174,183,188,194,199,203,208,212,216,220,217,245,255,255,255,236,237,214,171,137,129,237,233,236,237,157,162,166,174,181,187,194,200,206,210,214,217,220,225,238,255,244,242,240,239,226,172,127,131,242,240,237,238,153,159,164,171,179,185,192,200,204,208,213,215,221,188,122,223,241,251,250,237,229,168,126,82,88,200,244,236
12,182,183,184,184,184,185,184,184,185,186,186,186,186,186,186,185,185,186,186,186,186,186,184,184,182,181,181,180,185,186,186,187,185,185,187,187,188,188,188,189,188,188,188,187,187,187,188,188,187,188,187,186,185,185,184,181,187,187,187,188,189,189,191,188,190,190,191,193,192,189,191,190,189,189,191,191,190,190,188,188,187,185,185,184,189,190,191,192,190,192,192,191,193,193,196,194,192,194,195,192,190,191,191,192,192,190,190,189,188,187,187,186,191,192,193,194,193,193,194,195,193,191,186,193,201,183,187,198,193,195,193,194,193,194,194,192,191,191,190,189,194,195,195,196,195,196,197,193,209,213,173,138,207,192,141,167,203,197,200,195,195,196,196,194,194,193,193,192,196,197,197,197,198,197,200,194,238,241,206,123,159,233,165,123,199,176,176,200,198,197,199,197,196,195,195,194,196,196,198,201,200,199,200,200,237,246,221,153,117,224,195,141,117,162,117,156,209,198,200,198,199,198,197,196,198,200,202,203,201,203,200,206,235,225,232,184,111,178,206,155,86,114,122,88,202,204,200,200,201,199,198,198,200,202,204,203,203,201,208,195,215,200,218,208,156,107,164,131,67,55,99,80,191,207,204,203,203,202,201,200,201,203,205,206,198,216,239,161,132,157,174,174,119,72,96,100,73,156,109,82,202,206,206,205,203,203,203,203,202,205,206,203,226,251,215,148,111,136,111,145,137,108,147,182,182,168,91,95,213,207,208,207,205,204,203,204,204,206,204,215,244,218,207,166,123,80,83,88,138,154,173,221,235,199,114,120,226,207,210,210,208,208,206,205,204,207,203,236,218,191,217,186,132,79,84,86,73,84,127,218,237,238,187,123,174,219,209,210,208,208,208,207,205,204,214,235,210,169,214,188,161,97,76,95,101,109,171,210,213,201,182,162,106,198,215,210,210,209,209,209,207,204,224,245,213,166,150,214,201,123,77,100,123,187,225,209,208,167,153,173,103,174,223,210,212,211,211,210,210,208,218,250,232,200,142,158,188,194,113,101,212,229,211,206,193,161,129,126,95,201,217,212,212,211,211,210,209,207,217,252,243,211,173,159,145,154,141,203,249,226,210,198,175,151,116,83,122,225,214,215,214,212,212,211,210,208,216,244,245,228,192,184,166,126,190,246,236,231,193,176,153,143,104,71,175,225,215,217,214,214,214,213,211,211,212,236,242,241,216,195,178,164,174,236,231,218,179,148,143,136,88,98,219,218,217,216,216,216,215,214,209,211,203,224,250,244,223,203,183,179,171,229,220,192,164,128,149,125,69,150,230,216,217,216,217,216,216,216,207,211,205,199,246,233,211,200,187,184,180,205,202,164,142,138,145,105,75,203,222,218,217,216,217,217,217,216,209,211,212,197,237,217,199,192,191,184,179,186,182,164,138,138,129,76,123,228,216,217,217,217,217,216,215,214,211,211,212,206,233,219,207,207,201,185,173,183,191,167,124,114,98,83,202,223,218,217,218,218,217,216,215,213,212,211,212,205,234,226,216,215,201,194,169,186,194,140,104,100,74,166,228,218,220,219,218,218,217,217,217,216,211,212,214,204,235,233,222,224,203,205,165,180,177,126,102,77,119,230,220,221,220,219,220,220,218,218,218,217,210,211,215,202,226,244,228,230,210,204,162,162,166,129,94,72,195,227,219,220,219,220,220,220,218,218,218,217,207,209,213,203,222,246,223,218,206,197,156,147,164,125,76,102,227,219,221,220,220,221,220,219,218,218,219,219
16,193,194,196,196,196,196,197,198,198,198,197,198,199,199,199,198,199,199,200,201,199,199,201,200,200,200,200,197,194,195,196,197,198,198,198,200,199,199,198,200,200,199,201,202,202,202,201,202,201,201,201,201,200,201,200,199,195,196,197,199,199,198,198,199,200,201,201,201,200,199,180,175,171,187,206,204,203,202,201,201,200,201,201,200,195,196,197,199,199,199,199,200,199,198,191,186,201,212,173,151,141,119,143,192,206,204,202,201,202,202,201,201,195,197,197,199,199,201,201,201,203,196,175,181,215,215,189,170,153,122,88,96,152,199,206,202,202,202,201,201,196,197,199,200,202,200,195,185,220,212,183,196,219,207,194,181,156,109,102,85,80,111,187,208,202,203,203,202,199,199,199,200,200,210,195,190,211,208,191,200,219,193,182,172,148,95,104,91,85,81,100,185,210,204,204,203,199,200,200,201,199,220,209,191,204,204,200,194,208,179,175,162,134,92,93,85,87,87,78,93,194,207,205,204,198,198,200,200,199,207,205,189,201,209,207,197,205,183,173,154,117,88,82,79,83,87,85,71,121,212,207,205,197,198,200,202,207,199,204,203,197,208,209,201,215,196,175,143,106,82,71,76,84,86,83,80,77,192,209,206,197,198,198,208,207,197,205,215,203,202,208,203,215,200,172,132,97,75,58,75,87,90,91,81,72,176,209,204,198,199,199,202,205,205,199,212,203,201,213,210,210,198,162,117,88,52,52,74,89,95,100,87,77,192,207,204,199,200,200,200,204,214,208,211,214,176,215,217,208,199,159,103,64,21,49,68,81,101,96,87,85,199,206,206,202,201,201,200,205,214,217,191,195,186,205,217,210,201,151,92,39,12,39,57,75,111,91,82,96,203,207,207,201,200,201,200,202,203,219,181,160,198,201,209,215,199,145,85,39,14,24,47,87,119,89,79,117,209,208,207,199,200,202,202,202,194,196,217,199,184,198,211,220,194,141,79,52,37,26,52,115,124,92,78,122,210,207,208,201,202,203,204,204,203,182,196,208,192,197,213,223,189,135,78,64,67,55,75,144,145,107,74,119,210,208,207,154,159,163,166,170,174,170,170,196,174,172,199,220,187,126,77,74,76,64,93,163,172,138,79,120,211,207,209,97,99,99,98,101,103,103,105,137,113,105,178,219,187,117,78,80,83,75,106,163,181,163,106,100,177,220,235,102,102,101,99,99,100,99,98,99,101,88,169,221,190,108,108,95,87,82,111,158,181,181,148,118,207,231,245,101,103,102,101,101,103,103,103,103,104,93,153,223,192,104,161,124,104,93,95,143,171,182,165,123,198,229,236,101,101,100,104,102,103,103,102,104,105,98,127,216,191,109,188,151,122,112,91,105,155,165,148,96,169,224,208,100,100,100,102,102,103,103,103,105,107,101,114,230,183,120,209,176,145,130,109,83,104,136,115,119,182,178,200,100,100,99,101,102,102,102,103,104,105,103,110,227,149,154,220,192,162,146,124,95,79,88,78,172,211,154,178,99,101,100,101,101,101,102,104,104,104,104,105,139,143,213,219,199,173,156,135,104,83,82,69,179,235,198,162,99,101,101,102,101,99,101,104,103,103,103,103,92,170,224,221,206,180,162,144,113,85,83,71,174,240,220,200,100,101,101,103,101,99,99,102,102,102,103,102,96,160,216,218,209,186,166,148,121,89,82,71,157,241,217,191,99,99,101,105,101,99,99,101,102,102,103,103,98,157,213,216,207,186,166,151,126,95,84,74,145,239,226,173
22,46,50,56,74,90,101,105,109,117,124,129,132,136,139,143,143,146,147,147,145,145,144,144,141,140,139,137,136,47,50,57,76,91,102,106,110,119,124,130,138,138,141,145,146,149,140,142,149,147,147,145,147,145,142,139,139,48,50,59,79,94,104,108,113,120,136,141,104,143,143,147,146,166,117,86,156,148,147,150,130,141,147,141,140,49,52,61,81,95,107,111,118,118,157,161,66,137,149,149,149,177,115,67,157,151,154,159,81,98,156,144,142,49,52,62,83,96,107,113,119,121,154,173,72,124,154,148,155,172,104,79,164,150,165,156,71,104,158,146,145,49,52,63,85,99,108,114,121,125,146,180,84,109,159,150,158,165,97,96,166,154,169,135,64,136,155,148,147,48,51,65,85,99,111,116,122,128,142,188,115,93,160,154,155,144,81,107,165,169,178,109,75,161,151,151,149,49,53,66,85,100,112,117,123,130,139,185,126,81,153,158,158,146,69,115,168,175,161,88,113,164,152,154,151,50,54,67,86,101,114,118,124,133,138,179,137,70,137,163,157,151,71,130,180,175,122,66,145,160,156,155,153,49,53,68,89,103,115,120,125,136,139,171,168,93,115,169,144,129,54,157,195,170,99,77,167,158,157,156,155,50,53,68,89,104,117,122,127,136,141,159,176,99,84,156,117,115,82,178,180,154,70,119,172,160,159,157,156,49,54,69,90,107,118,122,129,138,147,152,172,91,45,107,124,147,174,182,159,109,60,159,166,162,161,159,157,49,54,70,91,108,118,122,130,140,147,147,169,114,75,131,137,147,167,162,144,64,106,179,162,164,163,161,159,50,54,72,93,108,120,123,132,139,162,149,107,114,88,118,131,155,148,158,116,53,153,175,167,165,164,164,161,49,54,72,93,110,121,124,133,140,178,141,132,113,123,86,66,120,136,125,72,56,165,173,169,168,166,165,163,47,53,72,93,112,121,125,135,141,186,160,145,146,134,88,50,41,89,87,55,64,177,171,170,170,169,166,164,48,53,74,95,112,123,127,133,149,193,168,118,95,112,117,101,63,33,37,40,64,180,171,171,172,171,167,164,49,55,75,96,113,123,127,137,149,197,177,103,40,50,116,121,99,66,48,29,38,172,178,172,172,170,169,167,47,53,75,96,113,122,127,137,144,195,189,130,113,36,163,145,114,88,68,18,20,165,180,173,171,171,171,169,45,50,74,95,112,123,127,136,141,191,198,142,118,84,187,168,126,95,71,14,34,178,176,172,171,171,171,171,44,50,73,96,114,123,126,138,140,186,200,144,119,154,177,146,127,82,61,9,62,191,173,174,172,171,172,170,43,48,72,96,114,123,127,137,142,174,195,168,129,177,176,125,132,101,54,4,85,191,173,176,173,171,171,169,35,42,68,93,113,123,128,138,147,165,187,172,130,168,168,131,121,105,49,0,128,193,179,180,177,174,174,172,68,71,81,93,105,114,119,125,135,131,175,173,132,128,148,114,95,73,24,14,147,162,156,155,155,154,154,153,77,77,73,66,71,73,73,73,81,38,72,173,108,80,97,82,58,38,17,36,69,64,62,62,63,61,64,61,75,75,77,77,77,76,76,78,78,30,0,68,85,79,89,98,74,42,8,36,75,66,66,66,65,65,43,13,77,78,77,78,78,78,78,83,55,7,14,0,41,88,92,98,64,17,0,11,79,67,67,69,47,18,0,0,77,77,77,77,77,77,80,77,23,15,13,9,0,19,48,35,0,0,0,33,78,65,69,47,3,0,0,0
18,174,175,175,177,178,178,177,178,178,176,175,174,174,173,172,172,172,171,170,169,168,167,165,164,163,162,160,159,175,176,177,178,178,179,179,179,179,178,177,176,176,175,175,176,175,173,172,172,170,168,166,165,163,162,160,159,177,177,177,179,178,179,181,181,180,179,180,179,180,180,179,172,167,175,175,175,174,172,167,166,165,164,163,161,178,178,180,180,180,181,182,183,181,181,179,148,126,164,172,135,107,124,177,160,138,147,170,168,166,166,165,164,179,180,180,181,182,183,183,183,182,186,179,135,103,94,143,138,102,74,120,130,104,85,131,174,169,166,165,164,180,181,181,181,183,184,186,163,136,153,176,144,120,93,121,163,109,92,70,117,109,80,70,166,170,168,166,165,181,183,184,185,184,185,191,163,133,114,138,164,124,103,97,163,113,102,97,95,106,91,58,144,173,169,168,166,182,184,184,186,187,186,190,175,154,135,106,147,140,106,81,126,128,117,112,103,120,104,61,143,174,171,168,167,182,184,185,187,187,191,177,174,165,141,116,101,139,111,87,97,136,127,115,113,117,101,60,147,176,171,170,169,184,185,187,188,187,193,177,139,151,138,107,68,126,117,86,78,126,119,115,112,108,97,59,133,179,173,170,169,185,186,187,189,187,193,165,103,124,133,81,56,102,97,68,64,104,80,99,129,127,102,67,115,181,174,171,170,185,187,188,189,188,195,166,131,119,128,75,57,85,76,59,54,79,61,82,161,142,111,76,96,183,175,173,172,186,188,188,189,189,196,178,155,115,123,91,63,82,84,60,52,74,59,58,144,146,119,86,75,177,177,175,173,188,189,188,189,191,197,181,149,119,99,84,57,84,92,58,50,68,103,138,148,163,135,96,61,161,179,176,174,188,189,189,190,192,195,161,128,107,87,69,56,66,65,55,66,102,158,166,152,154,137,97,57,146,184,177,175,188,189,191,193,193,194,175,149,126,104,84,80,74,78,99,127,159,173,167,161,134,122,87,54,151,183,177,176,190,191,193,193,193,196,184,159,133,103,83,81,92,108,133,158,179,176,159,147,125,96,75,63,173,181,179,178,191,192,193,194,193,195,187,165,138,110,93,90,96,112,154,176,185,174,150,134,115,87,57,95,186,181,180,178,191,192,193,194,195,193,187,172,147,124,105,100,95,126,170,184,181,165,143,125,109,79,48,145,186,180,179,177,192,193,194,195,195,191,184,170,148,129,112,107,101,137,178,177,170,156,137,117,100,71,62,179,184,181,180,179,193,195,196,197,197,190,175,162,147,132,120,116,107,141,175,169,160,146,131,109,91,57,100,190,183,182,181,179,193,195,196,196,197,194,173,164,152,136,125,127,111,145,166,164,151,132,119,101,80,48,149,189,183,182,181,179,195,196,196,197,198,198,179,163,154,142,134,130,114,144,160,158,146,124,106,88,64,68,185,186,184,182,182,180,195,197,197,197,198,201,189,163,157,150,137,126,111,131,155,148,134,115,93,77,45,127,193,187,185,184,182,181,195,197,197,197,197,200,196,177,163,151,139,128,114,118,141,138,122,102,83,60,62,184,189,187,186,185,183,181,195,195,196,198,199,201,199,186,170,157,143,133,122,117,131,129,111,93,75,43,129,195,188,187,187,185,184,181,195,196,196,197,199,200,200,194,178,155,139,130,125,122,125,122,107,88,62,68,187,191,190,188,187,186,184,181,196,197,198,198,199,201,198,193,178,157,150,147,141,134,120,117,100,79,49,126,197,191,189,188,187,186,184,182
8,170,171,173,173,173,174,174,175,175,174,173,173,173,171,170,170,169,168,167,166,166,164,162,161,160,157,156,155,172,173,174,175,175,176,176,177,177,177,176,174,175,173,171,172,171,169,168,166,166,166,165,163,161,159,157,156,174,173,175,177,176,179,180,179,178,178,179,177,177,176,174,174,173,172,171,168,167,167,166,164,163,161,158,157,174,175,177,181,165,133,177,181,180,180,180,179,178,177,177,175,174,174,173,171,170,169,168,166,165,162,159,158,176,178,178,182,148,90,159,184,181,181,181,180,180,179,179,177,176,175,175,173,171,171,170,168,166,164,162,159,177,179,180,180,124,83,159,187,184,183,183,182,181,180,180,180,179,178,177,176,176,172,171,168,167,166,165,162,179,180,183,177,115,81,175,187,186,186,185,185,183,182,182,180,173,163,174,175,162,174,172,170,168,167,166,164,180,182,183,171,103,84,185,187,188,187,178,184,187,185,186,183,146,109,104,157,122,161,175,171,169,168,166,165,181,182,184,177,109,81,181,190,188,160,121,122,179,158,133,145,148,121,81,110,111,136,180,174,172,170,168,166,183,184,187,180,117,77,175,192,176,150,133,104,122,137,105,84,138,134,100,70,109,105,179,175,174,172,170,168,183,186,187,176,116,72,150,196,169,163,149,121,98,137,111,88,138,133,99,61,90,81,135,180,174,172,171,169,183,186,188,182,147,104,118,197,162,164,163,128,91,129,128,96,124,117,82,55,78,98,81,160,178,173,171,170,184,186,188,187,171,125,102,175,151,148,167,133,91,111,136,95,98,118,95,55,70,101,70,140,180,174,172,171,185,188,189,190,177,129,124,140,136,124,162,130,96,86,128,99,82,140,119,67,85,106,72,161,179,174,173,172,186,187,190,191,188,167,159,131,133,111,140,132,90,70,119,105,65,129,116,63,102,102,83,179,179,176,174,172,187,187,190,191,194,180,157,126,105,106,125,131,96,69,86,82,41,52,64,78,115,91,105,186,180,178,175,173,187,188,191,192,195,183,139,112,90,83,96,138,128,87,57,53,86,97,95,134,126,77,130,187,181,179,176,174,187,189,193,193,194,180,155,132,103,91,90,138,140,99,74,99,143,147,134,128,116,64,153,187,181,179,177,175,188,190,192,194,194,191,170,139,103,89,87,125,127,99,85,135,154,150,138,101,88,68,177,183,181,179,178,178,188,192,194,195,194,189,175,143,113,98,89,111,146,145,147,167,157,140,126,90,60,121,190,183,180,179,178,178,190,193,195,195,195,187,177,151,126,104,97,112,171,180,181,173,149,129,115,76,69,180,188,184,182,180,180,178,191,193,195,196,195,184,172,152,127,103,104,122,177,174,168,159,135,117,101,59,131,194,187,185,183,181,180,179,192,193,195,196,196,181,166,157,132,108,111,132,170,165,162,147,123,108,84,71,184,190,188,186,184,182,180,179,192,195,196,197,199,187,169,163,134,116,112,137,162,164,157,135,114,97,61,132,198,188,187,187,185,184,181,179,192,194,195,197,198,196,177,169,144,124,109,133,155,153,144,123,100,77,71,188,194,191,188,188,186,185,182,180,192,195,195,197,198,198,187,171,146,125,111,124,145,137,125,105,83,53,145,200,193,191,189,188,186,184,181,180,192,195,195,197,199,199,190,167,145,124,115,119,133,126,109,91,58,111,201,196,195,192,190,188,186,185,182,181,193,194,196,197,200,199,190,163,143,128,123,119,125,122,102,78,73,189,199,196,195,193,190,188,187,185,184,182
13,152,152,154,157,157,158,159,160,161,161,162,161,161,161,162,161,159,158,157,157,157,156,153,151,150,148,147,147,152,153,155,158,159,160,161,162,162,163,164,165,168,163,163,165,166,160,159,158,157,156,155,154,153,151,149,148,153,155,156,159,161,162,162,163,164,164,152,125,132,171,150,121,131,165,161,160,159,158,157,156,154,154,152,150,154,157,158,160,162,163,164,166,165,169,151,119,91,122,130,103,61,136,171,161,161,160,159,157,155,154,153,151,155,157,160,161,162,164,166,167,165,177,173,136,112,64,122,118,69,95,176,161,162,161,160,158,157,155,154,152,155,159,161,163,163,165,166,167,167,169,175,138,107,60,96,112,69,78,173,164,164,162,160,159,158,157,155,154,156,160,162,164,165,166,167,168,172,173,165,136,100,64,70,89,57,70,173,164,165,163,161,161,161,159,157,154,157,160,163,165,167,168,169,168,157,161,151,134,103,76,66,101,59,80,175,164,166,165,164,162,162,160,158,155,159,161,163,165,168,169,169,155,109,89,97,138,137,91,75,108,70,85,179,165,167,167,165,163,162,161,159,157,159,162,164,166,169,169,180,154,109,95,74,136,151,101,66,95,66,50,154,173,167,168,166,164,163,162,161,158,161,163,165,167,168,161,128,133,128,116,79,63,104,70,58,68,66,61,95,177,168,168,167,165,165,163,161,159,161,163,167,165,174,154,97,83,138,120,103,44,20,27,52,71,84,95,65,143,177,167,167,166,166,164,162,160,162,164,164,175,182,137,110,89,112,131,103,78,25,50,57,89,108,107,71,94,181,168,168,167,166,164,163,162,162,165,167,181,144,136,126,109,83,123,112,92,38,61,116,126,113,94,74,80,179,169,168,168,167,165,163,161,162,164,168,182,141,115,122,104,83,97,101,69,36,73,131,139,121,88,60,94,182,170,170,170,168,167,164,161,163,164,171,171,142,102,93,94,67,48,72,62,44,96,139,132,119,87,46,123,184,171,170,168,167,167,164,162,163,166,169,171,162,135,96,69,47,35,69,75,76,145,148,125,111,80,48,153,181,172,170,169,168,167,165,162,164,167,168,170,166,146,120,103,85,83,94,94,138,165,140,116,99,73,63,175,175,173,172,170,168,168,166,164,165,168,169,169,164,151,130,109,91,94,129,159,160,150,131,110,92,59,84,186,174,175,173,170,169,166,166,165,164,168,170,172,153,140,127,107,94,96,121,156,151,138,118,99,85,47,112,188,175,175,173,170,168,168,167,167,164,167,170,172,147,138,129,112,106,100,113,147,150,135,109,87,76,41,147,185,176,175,174,172,169,168,168,166,165,167,169,175,161,138,131,119,111,99,106,140,142,124,96,77,53,65,183,177,177,175,174,173,170,168,168,166,164,167,169,173,174,145,131,123,108,97,95,122,128,109,83,69,38,129,189,177,178,176,174,173,171,170,169,167,165,167,171,173,177,170,138,118,104,98,95,109,122,103,82,60,56,177,180,179,177,176,175,173,172,171,170,167,165,168,172,174,176,176,153,127,109,103,108,108,118,104,80,51,102,191,178,179,178,178,175,173,174,172,170,167,165,168,171,173,174,171,160,136,130,128,124,115,118,100,72,52,142,188,177,178,177,176,175,173,172,171,169,167,163,166,169,173,173,163,168,147,140,135,126,121,110,90,67,57,167,181,178,176,175,175,173,171,170,168,167,165,163,167,169,172,172,160,174,151,142,141,125,112,94,86,59,68,181,178,178,176,176,176,174,172,171,168,166,165
1,153,158,163,166,170,173,175,178,180,181,182,185,186,186,186,186,185,185,184,184,183,184,184,181,179,179,177,177,154,160,164,169,172,174,178,180,182,183,185,187,187,188,189,188,189,167,173,187,185,184,184,182,181,180,180,179,155,161,166,171,173,176,179,181,184,187,188,188,189,191,166,179,199,144,123,195,186,185,185,183,182,181,180,180,157,162,168,173,175,178,180,184,186,189,189,189,192,203,131,149,201,139,111,172,184,188,187,186,185,184,181,181,160,164,169,174,177,181,183,186,188,189,191,192,200,201,120,157,196,127,112,135,136,193,188,187,187,186,184,183,162,166,171,175,179,182,186,187,189,191,194,187,164,183,113,170,193,118,139,154,108,192,189,188,188,187,186,185,163,167,173,177,179,183,187,188,190,192,200,182,108,156,120,182,202,131,154,156,100,188,191,190,189,188,187,186,164,170,175,178,181,184,187,189,194,194,207,166,93,150,127,177,188,127,163,159,97,186,195,193,191,190,189,188,165,171,176,180,183,186,188,191,195,194,208,150,83,133,113,156,174,117,177,170,104,187,196,194,193,191,190,189,166,171,176,181,184,188,191,193,195,198,210,143,87,148,112,172,176,114,184,165,104,186,196,195,195,193,192,192,167,173,178,182,185,189,193,195,197,204,204,135,91,166,106,175,173,109,193,163,104,189,197,197,196,195,193,192,169,174,180,183,187,190,194,196,197,211,208,138,79,130,80,158,141,109,199,167,110,193,199,198,196,196,195,193,169,175,180,184,188,191,195,198,197,218,202,140,115,130,121,160,161,137,164,161,109,196,200,200,199,197,197,195,169,176,181,185,189,193,195,198,201,223,198,157,133,182,192,198,200,173,115,133,111,200,201,202,201,199,197,197,170,177,182,186,189,194,196,198,211,221,177,140,110,122,171,168,200,206,150,89,102,205,202,201,201,201,199,198,172,178,183,187,191,194,196,197,221,215,170,126,108,96,117,118,201,224,189,106,99,207,203,201,201,201,200,199,172,178,184,187,192,195,197,198,228,210,159,124,119,116,136,174,189,210,190,132,112,208,204,203,203,202,201,200,172,179,184,187,192,196,198,202,230,204,162,127,129,126,166,213,202,184,152,124,93,192,207,204,203,203,203,202,171,178,183,187,192,196,198,204,232,206,170,141,136,144,199,221,196,169,132,99,85,194,209,206,205,204,203,202,172,178,183,187,190,194,197,204,231,206,167,144,140,153,215,228,190,157,122,86,84,203,206,204,204,203,202,201,172,179,184,187,191,195,198,203,228,208,173,162,141,151,218,225,182,146,113,77,105,210,207,206,204,204,203,202,172,179,184,188,191,196,199,202,224,211,184,180,149,143,221,208,172,131,100,72,171,211,208,206,206,205,203,202,173,179,183,188,192,196,200,201,220,216,191,184,149,151,213,192,164,121,84,96,209,208,207,207,206,204,203,202,173,178,184,188,193,196,200,201,223,219,192,175,138,157,197,168,150,107,70,145,215,209,207,207,204,204,203,202,172,178,184,190,196,198,202,200,225,212,187,161,133,160,173,152,133,95,78,194,214,211,210,210,208,208,206,204,142,145,147,148,151,154,153,176,230,207,187,161,144,163,159,148,121,85,90,157,159,159,159,161,161,161,160,158,111,108,108,109,108,110,105,192,227,208,193,163,160,157,140,131,100,75,92,99,99,99,99,100,96,95,93,92,118,116,117,118,118,117,127,222,209,187,184,172,158,137,125,112,79,83,109,108,107,105,106,106,105,103,104,105
4,153,156,158,160,163,165,167,171,173,175,179,179,179,182,182,183,184,184,184,184,185,186,186,186,184,184,184,184,157,159,162,164,166,168,170,173,174,176,180,181,182,184,188,192,178,175,186,187,187,188,188,187,187,186,186,186,160,163,165,168,170,171,173,176,178,179,183,187,177,192,225,217,159,119,168,184,186,190,190,190,189,189,188,188,163,166,168,171,173,175,177,181,182,191,214,209,157,133,177,198,145,96,100,130,134,171,194,192,192,192,190,189,166,168,171,174,177,179,187,182,162,209,228,216,161,105,88,165,139,91,72,113,104,113,193,194,195,194,193,192,169,171,174,177,179,186,223,209,159,163,166,209,168,115,63,125,158,117,77,127,129,102,188,196,196,195,195,195,172,174,177,180,181,210,219,208,197,170,119,166,187,131,48,127,187,147,108,124,139,121,179,200,199,198,197,198,175,179,181,182,189,227,203,165,162,134,89,108,181,126,58,157,184,141,103,96,109,109,140,202,201,201,200,200,177,181,185,186,192,234,221,184,164,151,136,97,133,107,79,129,153,127,108,104,100,99,117,178,206,202,201,201,180,183,186,189,190,223,221,201,174,151,137,109,105,118,114,128,150,134,129,112,90,119,126,132,202,205,205,203,182,186,188,192,193,218,220,196,166,136,116,104,109,128,134,151,163,155,146,124,125,157,150,119,166,209,207,206,184,188,191,195,195,224,225,198,169,134,112,103,113,126,143,163,178,185,201,210,199,185,164,139,121,196,209,209,187,190,193,197,198,226,233,205,175,140,113,108,115,130,156,187,186,211,221,214,202,181,151,121,94,159,214,211,188,193,196,198,199,223,237,210,186,155,121,110,113,133,171,191,189,211,211,202,186,165,139,112,92,119,211,214,189,195,197,201,203,224,240,217,196,166,134,116,117,135,178,196,206,215,215,200,178,157,135,109,93,106,207,216,192,197,200,204,205,225,243,224,204,174,146,129,128,133,174,203,216,218,214,201,175,150,124,103,88,125,217,219,194,199,202,205,206,223,243,230,213,183,155,147,141,138,171,205,218,218,215,200,168,139,114,98,87,173,224,221,196,200,204,207,209,219,239,236,223,194,168,160,153,146,178,202,216,219,214,194,161,129,109,93,102,211,224,224,198,202,206,208,210,215,234,238,230,205,181,170,160,152,183,202,209,217,206,180,150,124,106,86,141,226,225,225,201,205,208,211,214,213,227,237,231,210,191,177,165,157,177,205,207,205,188,162,138,118,103,89,190,229,227,227,205,209,209,213,216,216,217,231,226,211,193,181,169,155,156,194,201,188,169,145,127,114,97,115,223,229,229,229,207,210,212,215,218,220,211,228,228,214,193,182,172,155,142,181,198,183,159,134,115,110,92,171,232,229,230,230,210,212,215,218,221,224,212,229,234,216,193,181,175,157,141,171,188,174,148,122,106,93,134,224,231,232,231,231,212,214,217,220,223,225,215,232,233,209,186,178,175,155,139,163,174,159,128,109,90,128,215,234,233,233,232,233,213,216,220,222,224,226,220,234,229,202,182,182,179,161,141,152,156,143,113,95,109,211,235,234,235,237,235,224,214,218,221,223,225,228,216,232,234,205,193,195,186,172,145,139,138,132,105,87,176,235,235,236,230,200,152,112,217,220,223,224,227,231,215,232,240,212,206,211,190,176,144,128,127,127,97,102,217,234,236,196,126,80,63,56,219,221,223,225,228,231,186,228,245,227,225,221,193,175,143,125,126,126,90,129,233,237,183,97,69,47,45,41
7,198,203,209,212,215,217,218,218,218,220,221,222,221,221,221,220,220,220,219,219,218,216,221,198,223,238,232,239,204,210,214,217,220,221,222,224,224,225,226,226,225,225,223,221,221,221,220,219,218,217,216,216,231,174,244,238,212,216,220,224,226,227,229,230,230,231,231,231,228,229,227,228,227,225,224,223,221,221,217,222,210,183,249,239,219,223,227,231,234,233,236,236,236,236,236,236,235,234,233,232,230,230,228,227,226,223,223,219,228,249,231,238,224,229,234,237,239,241,242,242,243,242,241,242,240,239,239,238,236,235,234,232,231,228,225,224,225,207,181,240,230,236,240,243,245,247,248,248,248,247,248,249,247,246,246,245,244,242,240,238,237,235,231,228,228,216,208,243,235,241,246,249,251,253,253,253,254,253,254,254,253,252,250,249,250,248,246,245,242,239,236,233,232,228,228,245,240,245,251,253,255,255,255,255,255,255,255,255,255,255,255,253,253,253,251,249,247,244,242,240,237,234,237,255,246,251,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,250,249,246,245,241,238,238,255,252,255,255,255,255,255,255,234,214,231,239,244,243,240,236,233,245,253,255,255,255,255,252,247,246,239,241,255,255,255,255,255,255,255,250,204,141,164,199,218,208,209,207,196,185,194,204,202,223,234,250,255,249,253,251,255,255,255,255,255,255,253,243,204,169,170,176,192,190,195,198,187,162,178,184,176,188,192,227,224,255,211,213,255,255,255,255,255,255,255,245,200,156,172,176,185,180,183,193,183,163,157,163,174,182,188,219,196,237,91,164,255,255,255,255,255,255,255,237,196,135,146,168,190,201,192,197,179,178,169,180,193,172,174,176,194,203,116,109,205,255,255,255,255,255,255,236,177,140,157,164,176,175,176,177,177,170,160,174,191,178,179,179,202,222,188,107,90,255,255,255,255,255,255,255,206,130,128,124,111,152,175,161,157,156,164,172,180,170,166,163,163,184,155,109,96,255,255,255,255,255,251,255,218,127,116,124,108,144,220,255,255,255,255,253,181,108,111,110,106,108,100,98,99,255,255,255,255,240,243,244,193,137,127,131,132,117,99,245,255,190,154,110,84,83,75,75,93,89,92,97,96,255,255,249,243,236,233,232,191,131,115,132,146,141,122,110,90,71,78,95,94,82,86,80,80,84,82,94,97,250,246,238,234,234,234,247,206,126,93,77,120,131,116,113,94,85,72,89,102,83,71,83,82,80,88,82,55,235,230,236,235,234,232,230,199,127,100,89,96,124,136,141,96,83,83,67,91,97,76,64,76,80,95,53,23,224,216,216,211,206,204,186,155,129,116,107,92,65,91,100,63,66,95,73,68,88,95,72,61,69,68,62,53,212,195,176,169,164,161,158,134,122,106,74,102,58,48,79,83,56,81,88,69,73,87,88,64,64,61,64,61,194,187,161,155,143,167,174,104,73,89,45,88,85,41,66,89,71,60,87,83,69,71,86,78,57,62,61,61,158,162,168,180,227,255,122,99,73,81,57,62,95,51,46,82,86,58,73,87,74,68,67,81,61,56,62,60,149,255,255,255,255,157,83,106,86,59,68,47,83,74,34,68,90,69,65,76,79,68,60,68,72,48,57,60,91,224,211,225,174,86,98,81,70,74,59,44,59,88,37,48,83,79,69,70,72,68,59,58,70,56,46,56,68,166,163,145,110,91,85,83,51,75,65,35,43,87,55,33,72,85,70,71,67,66,57,56,60,65,45,48
21,140,141,143,147,148,149,149,150,151,154,154,152,153,152,152,154,153,153,152,152,152,151,152,150,149,149,148,147,142,143,145,147,148,150,152,153,153,153,153,154,153,154,155,156,154,154,153,153,154,153,152,152,151,149,149,148,143,145,146,148,150,151,153,153,154,153,178,155,135,158,157,157,157,156,156,155,155,155,154,153,152,152,151,150,145,147,148,151,153,153,154,155,156,154,188,174,118,148,160,158,158,158,158,158,158,157,156,157,155,153,153,151,146,148,150,152,154,155,155,158,159,154,169,192,127,127,163,158,160,160,160,159,159,159,159,149,157,155,155,152,148,150,152,153,155,158,158,158,159,159,159,193,165,128,155,161,161,162,161,162,158,170,162,108,153,158,157,156,149,151,153,155,157,159,159,160,160,161,156,187,193,136,138,166,163,163,163,164,158,182,152,102,156,160,158,158,150,152,155,157,160,160,160,162,162,163,160,178,199,144,123,165,164,163,165,161,170,187,134,118,165,159,160,159,151,153,156,158,160,161,162,163,163,164,164,167,200,160,121,158,167,165,166,163,185,179,121,139,168,161,161,160,153,154,157,158,161,162,163,163,164,165,165,180,187,174,119,145,171,167,165,170,184,158,108,157,166,163,164,162,154,156,158,160,162,164,164,164,164,162,175,207,186,171,124,106,167,169,166,185,181,130,118,171,164,164,164,162,155,158,159,162,163,164,165,166,166,180,181,183,193,170,148,121,139,172,174,188,174,114,150,172,166,166,165,164,157,159,161,163,164,164,166,168,170,204,183,163,197,185,178,175,130,132,164,170,143,114,171,168,168,167,165,164,158,160,163,164,165,167,169,166,178,182,185,173,137,139,189,181,137,96,127,137,107,138,176,169,170,169,167,165,159,162,164,165,168,169,171,167,182,185,139,122,89,81,145,188,151,104,100,110,97,163,173,170,170,170,168,167,160,163,165,166,169,170,172,168,187,175,139,140,114,100,110,193,175,124,91,92,107,176,172,172,170,170,168,168,162,164,165,168,169,171,172,169,191,194,174,147,117,121,113,181,195,140,97,80,123,180,173,174,172,171,170,170,163,164,167,169,171,172,173,171,200,196,153,131,119,137,137,190,201,158,113,77,129,181,173,174,173,173,172,171,164,166,168,169,171,173,175,174,201,184,149,138,143,149,162,207,198,164,126,86,128,183,173,175,174,174,172,173,164,167,169,170,172,174,175,175,202,194,166,156,155,159,186,208,191,161,128,85,130,185,174,176,176,175,174,174,164,167,169,170,172,173,175,174,202,199,175,156,165,172,197,208,191,154,132,89,129,186,176,178,177,176,176,174,164,167,169,170,171,173,176,173,199,204,182,161,166,181,206,206,191,154,128,89,136,186,176,177,176,176,175,174,166,168,169,171,173,175,176,173,197,207,183,174,169,189,208,199,184,151,125,87,142,186,175,177,178,176,175,174,166,168,170,172,174,176,178,176,193,208,188,189,180,193,208,197,177,151,120,85,140,189,178,179,179,179,177,176,166,168,169,174,175,176,178,177,185,208,197,196,190,187,201,183,169,146,112,81,141,190,178,181,179,178,180,174,166,169,171,174,176,178,180,180,179,202,203,197,188,178,188,167,158,144,107,79,148,190,180,182,183,186,179,121,168,171,174,177,178,180,181,182,180,197,206,194,173,159,169,161,153,147,101,78,170,188,182,185,180,144,104,80,152,156,160,162,164,166,169,174,161,170,204,183,157,140,153,163,148,140,84,93,188,182,184,178,120,85,81,75
16,193,194,196,196,196,196,197,198,198,198,197,198,199,199,199,198,199,199,200,201,199,199,200,200,200,200,200,197,194,195,196,197,198,198,198,200,199,199,199,200,200,199,200,200,199,200,201,202,201,201,201,201,200,201,200,199,195,196,197,199,199,198,198,199,200,200,200,200,200,199,181,176,173,186,202,203,203,202,201,201,200,201,201,200,195,196,197,199,199,199,199,200,200,198,191,188,201,209,175,155,143,123,145,188,201,202,202,201,202,202,201,201,195,197,197,199,199,201,200,200,203,196,177,184,213,212,189,170,151,122,94,100,152,194,203,202,202,202,201,201,196,197,199,200,201,200,196,186,218,211,185,196,217,206,194,179,155,110,103,87,86,114,183,203,202,203,203,202,199,199,199,200,200,209,196,192,209,207,192,200,217,192,183,171,147,97,104,90,86,86,104,180,206,204,204,203,199,200,200,201,200,218,208,192,203,204,200,194,208,180,175,161,133,93,94,85,86,86,83,98,190,205,205,204,198,198,200,200,200,206,205,191,201,208,206,198,205,183,172,153,117,89,83,80,83,87,84,79,123,206,207,205,197,198,200,202,206,200,204,203,198,207,208,201,214,196,174,143,107,83,71,77,84,86,84,81,82,192,206,206,197,198,199,207,206,199,204,213,203,202,208,203,213,199,171,132,98,75,59,75,87,90,91,81,77,177,205,204,198,199,199,202,205,205,200,211,205,201,212,210,209,196,161,118,87,54,54,73,88,95,98,88,80,191,205,204,200,200,200,201,204,213,208,210,210,178,215,216,207,197,159,103,65,25,49,67,81,100,95,89,87,196,205,206,202,201,201,200,205,213,215,195,196,185,206,215,210,198,151,93,42,16,39,57,76,109,90,86,97,200,206,207,201,200,201,201,202,203,214,184,168,195,201,210,213,197,145,85,41,18,26,48,87,117,89,85,116,205,207,207,199,200,201,202,201,195,198,212,197,186,198,211,218,192,141,81,53,38,30,55,113,122,93,84,121,205,207,208,197,199,200,201,201,199,182,194,206,191,196,211,220,188,135,80,65,65,57,77,140,143,109,81,120,206,208,208,154,159,162,166,169,172,170,170,192,172,173,200,216,185,127,79,74,75,67,95,158,168,137,87,121,205,208,210,100,102,102,101,103,105,106,107,137,114,112,179,214,184,118,82,81,83,77,107,160,178,161,111,106,176,218,234,102,102,101,100,100,101,100,100,101,102,95,169,214,187,110,111,95,88,84,111,156,178,178,150,121,205,229,242,101,102,102,101,101,103,103,103,103,104,98,153,215,190,107,161,124,105,95,97,141,169,179,163,123,197,227,235,101,101,100,103,102,103,103,102,104,105,102,128,211,190,111,186,151,123,112,94,107,152,162,145,103,173,219,209,100,101,100,102,102,103,103,103,105,106,103,116,224,182,123,205,175,145,129,109,87,106,134,117,120,182,179,199,100,100,99,101,102,102,102,103,104,105,105,111,218,155,157,214,191,163,145,123,95,82,89,84,169,204,159,180,99,101,100,101,101,101,102,104,104,104,104,104,141,146,209,217,198,173,155,134,105,84,83,76,178,226,198,165,99,101,101,102,101,100,101,104,103,103,103,103,99,168,218,220,205,180,162,143,113,86,83,77,174,232,218,199,100,101,101,102,101,99,100,102,102,102,103,102,100,161,212,217,208,186,165,147,121,90,82,77,158,234,217,192,99,99,101,105,101,99,99,101,102,102,102,102,102,158,209,215,207,186,166,150,125,95,84,80,146,232,224,175
0,170,171,173,174,175,177,176,175,175,176,175,175,175,174,173,173,172,172,171,171,169,169,168,166,167,165,164,163,171,172,174,176,177,179,179,178,177,177,177,176,177,175,175,174,173,172,171,172,172,170,170,168,168,165,165,165,172,173,175,178,178,179,179,179,179,178,178,178,179,177,175,174,172,175,174,172,172,170,170,168,167,167,166,167,174,175,177,178,179,181,181,181,180,179,179,178,177,179,177,191,173,148,170,176,173,175,171,171,169,168,167,167,175,176,178,179,179,181,181,182,183,182,180,178,189,174,177,219,181,141,115,159,146,156,176,168,170,169,168,167,176,179,179,180,180,181,181,184,183,181,178,193,213,184,180,221,185,143,110,170,144,105,138,114,150,175,170,169,177,180,181,181,183,183,184,182,185,196,163,204,212,188,178,226,196,131,160,197,139,82,105,89,145,177,170,170,178,181,184,183,184,186,188,179,205,229,182,200,222,185,161,220,202,131,132,173,124,78,112,93,161,175,171,171,181,182,184,185,185,186,186,183,213,244,211,174,231,192,138,186,181,127,94,146,104,102,142,91,156,176,170,173,182,184,184,185,185,188,184,194,203,230,224,155,204,179,116,143,164,123,90,144,98,143,163,95,141,181,171,174,184,186,186,186,186,189,184,202,195,195,192,136,170,161,102,96,168,116,85,154,107,176,171,99,144,182,173,174,183,186,186,187,188,189,183,213,212,183,176,118,145,163,98,75,174,127,88,96,154,197,157,93,156,182,175,174,184,186,187,187,189,189,192,221,182,146,171,135,114,179,109,83,159,180,180,119,167,189,135,92,170,179,177,175,186,188,187,189,189,188,201,230,195,151,135,143,113,163,120,137,195,204,186,162,133,154,123,102,181,178,178,176,186,189,190,191,191,189,203,233,200,169,142,135,172,177,193,206,203,190,166,150,135,114,110,106,183,178,178,176,187,190,193,193,194,188,214,240,206,188,173,157,179,210,218,218,204,184,161,141,127,104,90,113,186,178,179,178,188,191,193,193,195,190,222,239,213,200,183,167,193,221,228,230,206,179,161,137,116,98,86,156,186,181,181,179,189,192,192,193,196,191,224,234,213,195,179,171,197,223,232,229,207,178,152,127,108,87,112,189,183,181,180,180,188,190,192,193,196,191,221,235,215,196,178,168,193,217,221,213,199,172,142,115,98,86,162,188,182,181,181,179,188,190,193,193,196,190,207,232,211,196,184,172,196,209,202,188,170,151,131,109,90,150,190,183,183,183,181,179,188,191,194,193,196,192,204,219,198,200,192,174,193,202,188,165,144,136,117,99,154,191,185,185,184,183,181,179,192,192,195,195,197,194,205,219,201,202,189,174,187,199,179,145,127,120,98,154,193,187,188,186,184,183,182,180,192,193,194,196,197,194,210,234,218,195,179,177,176,187,159,124,116,96,146,195,189,188,189,188,185,184,183,180,191,193,194,193,205,189,186,250,226,194,180,181,164,173,140,112,96,127,196,189,191,189,188,187,187,186,186,181,190,192,196,191,214,254,170,196,216,187,182,172,158,162,121,95,84,172,195,188,189,189,186,187,186,182,168,158,194,195,199,193,219,255,240,133,229,215,201,189,168,157,123,95,89,183,196,196,193,183,190,193,172,150,155,149,144,145,143,137,236,254,255,140,143,230,212,197,172,152,133,121,108,121,133,125,130,176,197,185,165,112,176,161,96,97,84,127,255,249,255,162,95,223,201,183,161,144,127,114,110,102,82,100,176,206,185,162,174,101,148,178
18,141,141,142,143,145,145,144,145,145,143,141,141,140,139,139,138,138,138,137,136,135,134,132,131,130,129,127,125,142,143,144,145,145,146,146,145,146,145,144,143,142,141,141,143,142,139,139,138,136,134,133,132,130,129,127,126,144,144,144,146,145,146,148,148,147,145,147,147,149,148,146,141,134,145,141,142,143,141,133,133,132,131,130,128,145,145,146,147,146,148,148,149,148,147,147,115,90,133,142,101,70,91,148,128,104,115,139,134,132,133,132,131,146,147,147,148,149,149,150,151,150,156,147,102,67,58,112,105,68,37,87,98,70,47,99,144,134,133,131,131,147,148,148,148,150,151,153,130,101,120,146,110,90,55,88,135,74,61,32,86,79,45,34,135,137,134,133,132,148,149,151,152,151,151,159,129,99,77,104,134,90,68,64,133,77,69,65,61,73,60,22,110,143,135,134,133,149,151,151,153,153,153,157,142,121,104,68,116,109,72,46,92,97,83,79,69,88,74,25,110,144,136,135,134,149,151,152,154,153,159,143,141,132,108,83,67,108,78,52,63,106,93,82,81,85,70,24,115,147,137,137,136,150,152,154,155,152,162,146,105,119,106,74,32,94,86,51,44,95,86,82,77,74,67,21,99,150,138,137,136,152,153,154,156,153,160,134,62,90,104,44,21,70,65,33,30,74,44,66,97,94,72,29,81,152,139,138,137,152,153,154,156,154,163,134,95,87,97,39,24,51,43,24,20,49,24,48,134,108,80,39,62,154,140,140,139,153,155,155,156,156,164,145,124,82,90,60,31,47,53,26,18,45,24,20,111,113,86,51,41,147,144,142,139,155,155,155,156,157,164,149,115,85,66,51,22,51,63,23,16,33,70,107,113,133,102,64,25,128,148,142,141,155,155,156,157,159,163,127,94,74,54,35,22,33,30,21,30,67,127,134,118,121,106,66,20,112,154,142,142,155,156,158,159,160,161,141,116,93,72,51,48,40,44,66,94,128,140,133,128,100,89,56,17,118,153,143,142,157,158,160,160,159,163,152,126,100,69,49,48,59,76,101,125,146,143,125,114,92,63,41,27,142,148,145,145,158,159,160,161,160,161,154,132,105,77,60,58,62,78,121,142,153,141,116,100,82,56,20,61,158,145,147,145,158,159,160,161,161,160,154,140,114,91,71,68,59,92,139,150,148,131,110,92,76,48,10,112,157,146,146,144,159,160,160,162,162,158,151,138,115,96,79,75,66,103,148,142,136,124,104,84,69,37,27,148,150,147,146,146,160,162,163,164,164,157,142,128,113,98,86,84,72,107,144,134,127,114,98,76,60,20,66,162,147,149,148,146,160,162,163,163,164,161,140,131,120,103,91,96,77,110,134,131,118,98,85,68,49,10,115,160,148,149,148,146,162,163,163,163,165,165,146,129,121,109,101,99,79,111,128,124,114,91,72,57,29,33,155,151,151,149,149,147,161,164,164,164,164,169,156,129,124,117,104,93,76,97,123,114,102,82,60,47,6,93,165,151,152,151,149,147,162,164,164,164,164,166,163,144,130,118,106,95,81,84,109,105,88,68,51,25,26,155,155,154,153,152,150,148,162,162,163,165,166,168,166,153,136,124,110,101,88,82,98,96,77,59,45,3,95,167,153,154,153,152,151,148,162,163,163,163,166,167,167,161,145,121,105,96,92,89,92,90,73,57,26,32,158,157,156,155,154,153,151,148,163,164,165,165,166,168,165,161,145,123,116,114,109,102,87,84,67,49,11,94,169,155,156,155,154,153,151,149
1,148,150,155,157,160,161,161,163,164,164,165,165,165,168,166,165,166,166,166,166,167,166,167,166,165,165,165,163,152,154,157,160,163,164,165,166,166,168,168,172,161,155,171,169,169,169,169,168,169,169,169,169,168,167,166,166,154,158,161,164,165,167,167,169,170,171,167,181,168,105,173,176,173,173,172,172,172,173,173,173,172,171,170,169,158,161,164,167,169,171,171,172,172,187,172,140,176,93,147,153,177,177,176,176,176,176,176,176,175,175,174,173,160,164,166,170,172,174,174,177,175,196,173,119,176,97,101,112,147,183,179,178,179,179,180,178,177,178,177,175,162,166,170,173,175,176,177,179,178,198,179,120,182,122,103,131,109,187,181,181,182,182,182,180,179,179,179,178,165,169,174,175,177,180,181,184,177,188,195,121,177,145,99,144,96,173,185,185,185,184,185,184,183,182,181,181,169,172,175,178,179,182,183,191,184,129,201,131,154,154,107,157,122,148,192,187,187,188,187,187,186,185,184,182,172,175,178,181,183,186,185,198,186,105,197,141,133,162,124,170,157,122,190,189,189,190,188,188,188,187,186,184,175,178,180,182,185,188,187,199,188,110,192,151,133,182,146,146,177,119,172,195,193,193,191,190,190,189,188,186,177,179,182,184,187,189,189,202,200,120,194,181,131,187,154,123,193,145,143,200,194,195,195,194,193,191,190,188,179,181,184,186,190,191,191,204,200,121,180,192,122,155,154,110,199,169,123,196,197,197,196,196,195,194,193,192,181,184,186,189,193,194,193,204,203,142,139,187,98,133,164,102,182,175,120,180,202,199,198,198,197,198,196,194,184,186,188,192,194,195,196,205,212,155,104,184,149,156,161,167,188,144,124,151,206,200,200,200,199,198,197,195,184,187,190,193,195,197,198,205,213,145,112,167,197,163,152,200,182,132,133,111,201,203,202,201,200,199,199,197,184,188,191,194,196,199,200,205,209,173,178,138,172,167,172,209,162,132,137,102,169,208,205,203,202,202,200,200,185,189,192,194,198,201,201,207,212,191,179,137,141,182,216,205,190,158,120,104,129,211,207,206,204,203,202,201,185,190,194,196,198,201,202,214,214,173,162,137,161,207,208,171,183,201,173,124,99,207,209,207,206,205,205,204,187,190,195,198,200,202,202,216,222,167,145,156,181,166,149,116,168,223,210,170,113,183,212,209,208,208,207,204,187,191,195,197,201,201,202,214,234,184,140,141,131,126,123,174,194,207,205,168,128,137,216,210,210,208,207,206,187,191,193,195,200,201,201,207,233,205,141,147,155,178,207,226,221,204,189,154,106,132,216,210,209,209,208,207,187,191,194,196,200,202,201,205,229,226,160,155,169,182,225,230,226,204,177,146,94,139,216,209,209,209,208,207,188,192,194,198,200,201,203,203,226,238,187,161,181,172,221,239,231,203,168,137,90,155,217,211,211,210,209,208,189,192,194,197,200,201,203,204,218,237,207,173,201,165,208,240,230,197,158,125,88,169,217,212,212,210,209,209,189,193,195,197,200,202,205,206,209,228,219,190,208,172,187,236,218,184,152,117,86,178,218,212,213,211,209,208,187,192,195,198,202,204,205,208,207,218,224,208,200,181,158,225,212,180,143,110,85,191,219,214,213,212,212,211,117,122,125,132,135,139,141,145,145,178,230,217,193,174,147,192,201,167,129,104,95,189,201,206,214,218,213,210,97,95,96,98,98,99,101,101,96,129,223,203,181,163,142,163,183,152,118,101,99,113,153,207,205,202,218,209
4,135,136,138,139,140,142,144,147,148,150,151,152,153,154,156,157,158,159,160,161,162,162,162,161,162,163,164,165,135,136,138,140,141,143,145,147,149,150,151,152,153,154,155,157,158,159,160,161,162,163,163,164,164,164,165,166,135,137,139,141,143,144,146,148,149,151,151,151,154,155,153,152,155,159,160,161,162,163,164,165,166,166,166,166,136,138,140,142,143,144,146,148,151,155,153,146,144,157,154,137,133,149,155,157,161,163,165,166,166,166,167,167,136,139,141,143,144,145,149,150,149,152,158,145,121,137,151,126,105,117,132,129,148,164,166,167,167,167,168,168,138,140,142,143,144,152,168,161,140,124,146,142,110,114,141,121,91,96,115,102,122,163,167,168,168,168,168,168,139,140,143,144,145,164,182,169,134,108,130,140,108,99,137,132,92,94,118,101,112,161,168,168,169,169,169,169,139,141,144,145,149,170,171,166,139,107,116,143,113,85,129,143,103,100,127,107,111,160,168,169,170,170,170,171,140,142,144,145,152,173,159,152,144,111,95,132,111,68,105,148,128,113,122,111,114,146,166,170,171,171,171,172,141,143,145,146,155,174,156,139,127,100,76,94,95,64,86,138,138,126,121,118,119,125,156,170,171,172,173,173,142,144,146,147,161,174,157,138,121,103,88,84,95,85,93,125,138,134,124,121,126,125,142,169,172,173,173,174,143,144,146,149,172,175,153,132,118,105,94,96,109,104,110,126,131,124,120,134,146,134,129,164,173,173,174,175,143,145,147,154,179,171,148,127,112,98,94,103,115,115,125,136,129,116,130,156,156,140,123,155,174,175,175,175,144,146,147,160,185,171,149,128,112,100,97,106,117,125,135,147,149,147,149,152,147,134,117,141,173,175,175,175,144,146,148,165,189,173,153,133,114,102,100,108,123,135,144,155,165,164,157,147,134,119,105,122,169,176,176,175,145,147,148,170,193,175,157,139,118,105,103,110,128,145,159,166,168,163,156,143,127,110,95,111,167,177,177,176,146,147,148,173,195,177,161,145,128,115,111,116,137,160,173,173,167,157,149,138,122,105,91,116,170,178,178,177,147,148,149,176,198,182,167,153,140,124,119,130,149,171,179,174,166,154,142,130,114,99,94,139,176,178,179,179,149,150,150,174,200,189,174,161,151,137,130,142,155,171,177,172,164,152,137,120,102,91,110,162,178,178,179,180,149,149,150,169,201,194,179,165,155,145,139,146,158,171,175,168,163,153,135,115,95,93,140,175,178,178,179,180,149,150,150,164,200,197,179,164,155,147,144,149,160,172,172,163,157,151,134,115,96,118,167,178,178,178,179,180,150,150,151,160,198,196,177,167,159,153,151,154,163,168,164,156,148,143,132,113,108,152,178,180,179,179,180,181,149,151,151,161,198,192,177,174,167,162,158,157,161,163,155,147,140,134,123,110,137,173,179,180,180,180,180,181,150,151,151,164,198,189,180,180,174,170,164,157,159,158,150,141,131,119,111,131,167,179,179,180,180,180,181,182,150,151,151,169,201,194,183,178,175,174,167,155,153,152,145,133,119,105,121,163,178,179,180,180,181,181,181,182,149,150,151,174,204,199,182,175,176,177,167,150,145,144,138,125,108,102,148,176,178,179,180,180,181,181,181,182,149,150,152,180,205,200,181,173,175,174,162,146,139,139,132,116,98,117,168,178,178,179,180,180,181,181,181,182,150,151,153,184,206,200,180,171,173,170,158,144,137,139,129,110,95,134,176,179,178,180,181,181,181,181,181,182
12,97,111,123,130,133,141,149,156,159,162,166,171,175,179,182,185,188,189,192,194,195,196,196,198,199,201,201,201,100,114,126,132,135,144,152,158,161,164,169,173,177,182,185,187,190,198,198,195,196,199,201,200,203,204,203,203,102,116,130,133,137,146,155,161,163,167,172,176,180,184,186,190,191,172,183,204,198,200,203,209,203,205,206,205,104,119,131,135,139,148,156,162,165,170,174,179,183,188,193,199,203,134,99,174,211,171,127,175,213,204,207,207,107,121,132,137,141,151,158,163,168,172,176,181,186,174,151,209,210,145,102,95,154,163,106,88,193,212,208,209,108,123,134,138,143,153,160,165,171,174,178,180,210,164,102,112,200,172,130,89,91,164,133,82,138,224,208,210,110,125,136,140,146,155,162,167,173,179,177,195,220,166,126,84,168,203,143,111,83,151,150,101,114,225,212,214,112,127,138,142,148,156,163,169,174,179,182,210,205,194,151,119,130,215,167,117,75,120,150,109,100,221,214,216,115,130,140,143,150,159,165,171,177,178,195,197,171,214,180,137,96,182,190,121,76,84,131,106,85,216,218,218,117,132,141,145,152,162,167,172,175,178,222,160,151,209,193,137,94,132,192,119,80,66,118,93,77,215,220,220,119,134,143,147,153,162,169,172,161,154,182,153,137,178,188,148,104,87,165,114,79,62,101,88,82,217,221,221,121,135,143,147,154,160,180,196,183,178,174,144,94,77,171,145,92,58,135,120,81,60,93,90,89,223,222,222,123,136,144,147,156,160,191,219,209,212,200,119,81,30,120,117,75,45,98,138,117,66,107,107,106,233,220,224,125,138,145,149,159,160,199,214,174,176,159,93,80,39,68,102,85,33,65,174,139,78,111,127,74,198,231,224,126,140,146,150,159,163,194,196,157,131,153,118,88,49,34,102,95,49,93,167,147,85,88,116,54,149,239,223,128,141,147,152,160,166,186,170,137,99,130,150,84,62,32,71,74,94,162,159,137,84,71,85,66,174,236,224,127,140,148,151,160,165,184,192,161,123,101,150,89,71,50,57,97,153,173,163,142,115,92,78,95,221,231,234,129,140,146,149,159,165,188,193,160,131,105,125,99,72,56,67,140,170,173,171,159,129,101,66,155,246,223,203,130,142,146,149,161,166,190,189,173,161,113,96,115,99,78,87,177,179,177,184,154,120,91,84,217,199,186,146,131,141,147,151,161,168,187,188,183,168,108,108,140,121,91,108,189,187,193,176,130,109,82,116,211,114,120,183,131,142,147,153,161,169,182,182,176,173,109,124,139,114,119,167,197,196,188,151,113,97,80,112,113,131,101,118,130,141,146,152,160,169,176,171,176,166,120,131,140,119,156,178,199,189,167,129,98,83,99,158,111,145,111,103,131,141,146,152,162,171,179,178,183,162,126,135,141,117,157,164,185,177,151,112,90,71,133,194,125,92,150,196,106,112,115,118,123,128,130,152,177,159,137,141,136,119,148,166,165,157,125,93,75,104,116,122,124,112,158,146,102,103,103,104,106,105,99,114,178,161,143,139,131,125,133,157,149,119,95,79,78,118,187,148,140,147,115,140,106,106,109,110,111,113,115,111,175,182,154,136,132,130,129,145,134,99,81,82,161,182,233,208,209,169,143,194,107,107,107,109,110,111,112,108,159,169,150,131,124,118,120,130,115,91,65,113,231,201,173,176,184,152,118,130,106,108,109,111,113,111,114,111,162,166,115,103,102,104,113,113,94,80,59,103,225,184,182,199,225,191,137,111
2,162,163,162,162,162,162,162,162,161,160,160,160,160,158,157,157,156,155,156,155,154,153,153,154,152,150,149,148,163,163,164,164,164,163,163,163,163,162,162,162,162,161,160,160,158,157,157,156,155,154,154,153,152,151,150,150,164,164,165,165,165,164,164,164,164,164,163,163,163,162,161,156,154,157,157,159,160,158,156,153,153,151,151,151,165,166,167,166,165,165,166,165,166,165,164,165,162,167,167,153,146,147,143,140,144,151,161,155,155,153,153,153,166,168,167,167,167,168,168,168,167,167,166,163,174,178,166,159,155,147,141,126,119,100,116,163,156,155,155,153,167,168,167,167,168,169,168,168,167,167,165,174,182,177,173,173,172,155,145,143,117,113,85,130,159,157,154,153,168,169,169,168,169,169,169,169,169,166,171,181,180,183,128,111,137,106,100,144,138,129,110,95,102,143,157,154,170,170,170,170,170,170,170,171,169,167,178,182,169,149,100,65,70,69,68,95,114,101,77,76,70,138,161,154,172,172,172,172,173,173,172,170,172,181,191,151,106,89,75,67,65,71,150,140,147,130,98,85,114,161,157,157,173,174,174,173,173,174,172,174,188,194,180,136,98,75,59,61,62,114,174,168,168,169,164,158,163,160,159,158,174,175,175,174,174,175,172,185,194,189,161,128,103,85,72,59,104,166,165,166,165,163,164,165,162,161,159,159,176,176,176,176,176,169,182,194,189,163,125,100,89,77,65,108,176,167,168,168,166,165,164,165,164,161,160,159,177,178,177,178,171,181,201,194,177,160,119,73,69,74,68,155,173,168,169,168,168,167,165,165,164,162,161,159,178,178,179,172,182,204,199,181,164,161,118,85,72,63,104,178,170,170,171,170,170,169,167,165,165,164,162,160,179,181,175,182,205,202,185,173,174,140,104,83,66,56,158,178,172,171,171,171,170,168,168,167,167,166,162,161,182,180,178,204,205,195,179,181,161,124,102,72,65,57,139,184,172,173,173,172,171,170,172,169,158,161,168,162,182,178,201,208,203,189,178,169,145,119,91,58,63,64,75,165,176,174,173,172,172,174,156,136,133,118,145,167,178,193,211,203,196,182,172,162,139,103,75,59,65,67,62,105,185,172,177,178,177,140,118,134,140,95,128,170,186,211,204,196,185,178,164,152,124,89,70,70,77,78,75,73,155,185,167,137,109,109,129,136,98,122,168,163,211,212,199,190,178,165,155,140,107,85,72,82,90,90,87,76,82,123,96,97,89,109,128,95,103,175,167,166,126,189,199,182,173,157,148,127,104,85,78,92,94,93,87,83,75,83,86,103,110,108,100,63,157,172,168,168,66,87,147,160,154,149,137,126,100,77,80,95,92,91,88,84,81,92,99,102,105,88,62,98,176,169,169,168,74,66,66,106,122,113,107,91,73,72,77,89,87,87,83,83,86,91,93,85,77,93,133,170,174,172,170,169,65,70,66,63,72,75,68,58,63,68,68,79,83,81,72,72,67,66,82,115,149,176,182,176,175,174,172,171,66,64,63,68,64,45,50,56,53,54,58,65,60,56,75,93,100,131,170,185,184,180,176,175,175,173,172,170,65,61,62,59,69,49,29,40,39,38,52,63,84,128,171,185,187,188,183,180,179,179,177,177,176,174,173,172,63,61,60,57,68,62,26,31,36,28,66,168,193,193,189,185,183,182,182,182,181,181,180,178,177,175,174,172,59,57,56,54,61,63,28,27,31,30,25,61,174,189,185,187,186,185,185,184,183,182,181,179,177,176,175,173
12,206,205,207,210,211,211,215,214,215,216,215,214,215,215,214,213,212,212,211,211,211,209,209,208,207,204,205,205,207,208,210,211,213,214,215,216,216,217,217,217,217,215,216,217,214,212,213,212,211,211,210,209,208,208,207,206,208,210,211,213,215,216,217,218,218,218,219,219,219,219,218,219,217,215,215,214,213,213,212,212,211,211,208,208,210,211,213,216,217,217,218,219,219,219,220,221,219,219,219,217,218,217,217,216,216,215,215,214,212,211,211,210,211,213,216,218,218,218,221,222,222,221,223,223,223,225,222,219,220,223,224,217,216,216,217,216,214,213,212,211,212,215,217,218,219,222,222,224,224,225,225,222,220,212,220,226,214,186,186,225,223,221,218,218,217,216,214,212,215,217,219,220,222,224,225,225,226,227,224,233,221,175,152,219,206,159,98,187,206,201,224,220,217,216,216,215,217,218,221,223,225,225,227,228,228,228,230,240,219,174,104,170,201,156,115,121,176,123,144,224,218,217,218,216,218,221,224,225,227,226,228,228,229,227,201,231,206,157,100,151,234,176,137,117,163,126,87,168,231,217,219,218,219,221,225,226,227,228,229,228,246,231,166,196,218,168,86,167,255,193,149,143,171,129,91,145,235,219,220,220,221,223,225,227,228,229,227,248,255,231,183,144,255,207,93,151,255,169,120,197,187,142,82,160,236,220,222,222,224,224,226,228,231,234,228,255,255,237,185,121,234,192,120,132,170,135,138,234,169,111,75,175,235,223,225,223,225,226,228,230,232,231,233,255,237,209,159,112,112,135,111,117,172,217,209,172,121,80,87,211,231,225,226,225,225,228,231,232,233,231,255,255,227,159,130,112,68,77,178,215,215,217,199,163,157,96,140,241,225,227,226,227,227,228,231,233,234,235,255,250,205,161,158,95,68,185,255,245,220,201,174,152,157,105,160,244,227,230,228,227,228,229,233,235,234,237,255,254,178,183,186,107,166,255,254,245,219,194,176,149,137,90,171,245,230,232,230,228,230,231,234,236,233,247,255,254,219,199,173,196,250,255,254,237,216,187,168,142,117,79,193,243,231,232,231,230,230,232,234,238,235,255,255,255,239,226,182,218,249,255,243,230,208,172,155,132,108,70,183,247,231,234,233,232,231,233,236,239,236,254,255,255,247,229,191,231,245,248,229,217,192,162,146,120,102,67,180,248,233,235,234,233,234,235,237,241,238,250,255,255,254,226,193,217,238,226,219,210,175,148,128,109,88,76,223,241,236,237,234,234,234,235,237,240,237,245,255,255,254,211,184,207,216,221,208,192,158,135,118,101,68,175,248,238,240,238,237,235,234,234,238,240,251,248,255,255,225,185,184,207,214,222,208,179,159,134,111,84,177,249,238,241,241,239,238,237,233,234,239,239,181,234,255,237,221,214,208,206,223,226,200,162,154,127,79,175,255,240,241,241,242,241,238,237,235,234,247,210,84,132,255,254,243,226,203,183,210,210,171,142,137,89,136,253,243,243,243,241,241,241,240,239,235,237,243,143,120,96,138,206,198,186,178,168,194,180,145,132,101,107,244,248,244,245,245,242,242,242,241,239,233,247,208,108,119,115,51,92,92,91,87,89,115,121,118,106,85,218,255,245,247,246,245,244,244,243,242,241,232,240,151,110,114,123,50,60,83,78,66,58,54,58,66,51,77,229,250,247,247,246,246,245,243,242,242,240,242,205,113,114,111,119,44,42,72,74,64,61,59,56,49,43,26,153,255,243,246,245,245,244,242,242,241,239
19,161,164,166,166,166,169,169,168,169,170,170,170,169,169,168,166,171,168,164,164,164,164,164,163,162,162,162,161,164,164,167,167,168,170,170,170,171,171,171,171,171,169,170,163,133,152,171,165,166,166,166,165,164,163,162,162,165,166,167,169,170,170,172,172,172,172,172,173,173,170,183,161,113,98,174,168,169,167,167,166,165,164,164,163,166,167,169,171,172,172,173,174,175,172,173,175,173,175,191,161,128,84,164,171,170,169,169,169,166,165,166,166,167,170,172,172,173,174,175,175,175,174,175,176,173,180,188,156,123,79,163,174,171,171,169,167,170,167,166,167,168,171,172,173,174,177,177,176,175,175,175,177,173,185,184,137,106,73,161,171,167,163,167,188,154,165,169,169,170,171,173,175,175,178,177,177,177,178,177,177,173,182,179,144,137,150,174,163,173,169,179,217,120,158,171,169,171,172,175,178,177,178,178,178,178,178,176,180,183,182,174,171,179,194,187,168,166,168,146,124,125,172,171,170,172,173,176,178,179,180,179,178,176,183,192,201,204,194,175,154,149,142,138,119,110,109,117,139,172,172,170,171,175,176,177,178,180,180,183,185,185,199,203,200,190,177,171,168,159,96,96,125,148,160,176,181,174,174,173,172,177,177,179,180,180,186,202,194,192,187,189,189,186,186,183,181,172,96,131,191,181,180,176,176,175,175,174,172,178,178,179,181,178,196,210,198,190,188,195,197,199,191,182,176,148,87,107,188,175,178,178,176,176,176,175,173,179,179,182,184,181,195,206,186,181,191,200,201,190,181,183,185,168,91,77,179,179,178,177,176,176,177,176,174,179,180,183,185,182,196,196,180,182,185,179,179,184,193,184,186,178,98,60,147,187,177,179,178,176,177,177,176,181,182,184,186,185,202,182,184,185,175,164,188,192,181,175,175,149,94,59,121,191,179,180,179,178,177,177,177,182,183,184,186,187,195,191,195,193,194,198,198,186,178,170,158,130,85,58,101,193,181,182,181,180,178,179,177,183,185,186,188,188,189,212,202,193,194,195,184,171,163,175,187,179,107,47,128,193,181,183,182,180,179,179,179,185,185,188,189,191,186,208,206,187,182,166,135,160,196,193,180,179,113,74,183,187,185,183,184,182,182,181,180,185,187,190,189,192,187,191,200,185,180,170,178,200,191,170,157,149,100,69,176,189,185,185,185,184,183,183,181,185,188,190,191,192,191,188,196,206,198,190,193,187,170,159,145,125,78,77,185,187,185,186,186,186,185,183,181,187,189,190,192,193,193,190,192,205,192,176,179,171,157,135,102,74,82,166,192,187,187,187,187,186,186,185,184,188,191,192,192,195,196,186,193,195,184,166,161,139,118,90,64,48,155,202,187,189,187,187,188,186,186,185,185,189,191,192,194,195,197,187,190,191,177,156,144,127,101,77,65,101,199,189,191,190,189,190,189,187,186,185,185,188,191,193,196,196,197,188,181,187,172,148,138,136,101,77,68,114,203,190,192,192,192,191,191,190,187,187,185,189,191,193,196,196,199,187,176,177,171,144,128,104,85,79,72,79,193,195,192,192,192,191,191,190,188,187,186,188,191,192,194,195,198,186,175,168,169,158,139,107,88,82,73,77,189,194,192,192,190,190,190,190,187,185,184,189,191,193,194,195,199,179,178,174,165,152,140,110,89,81,71,86,195,192,192,192,190,190,190,189,187,186,185,189,191,193,195,195,200,173,186,192,180,149,121,98,82,80,64,127,202,191,192,192,191,191,191,190,189,186,185
24,71,85,100,111,120,125,126,133,141,146,149,154,156,158,163,165,167,169,172,173,173,174,173,173,173,172,171,170,71,88,102,113,123,126,128,135,143,149,152,156,159,161,165,167,169,172,174,175,175,176,176,175,176,175,175,175,72,88,104,115,123,129,130,139,145,150,154,159,162,166,168,169,171,173,175,176,177,178,178,176,176,176,177,176,74,91,105,118,126,126,136,141,147,151,156,161,164,168,171,173,174,176,177,179,178,180,181,179,178,178,178,177,75,92,106,120,126,164,126,137,151,154,159,162,167,170,173,175,176,178,180,182,182,183,182,182,182,181,181,181,75,93,107,119,133,184,96,108,159,155,160,165,168,172,174,176,180,180,182,184,184,184,183,183,183,184,184,183,77,94,109,121,131,157,90,78,156,158,163,168,170,176,178,180,182,188,187,186,188,184,187,186,185,185,185,184,77,95,111,123,127,159,105,57,142,166,164,173,173,173,177,191,192,153,175,193,188,189,189,188,188,187,186,186,78,97,112,126,131,145,130,70,102,169,164,152,183,179,117,170,211,142,92,182,194,191,190,191,190,189,190,189,80,98,114,126,136,139,162,96,62,154,190,131,183,200,99,139,199,137,68,108,203,192,192,192,192,192,191,190,80,99,115,128,138,138,155,123,88,155,225,159,202,211,114,181,180,93,62,69,185,197,194,193,193,194,194,193,83,100,116,130,139,142,150,175,121,159,243,164,192,206,107,192,168,67,49,57,144,209,193,197,197,197,191,181,84,102,117,130,139,143,146,168,150,185,232,156,169,206,110,200,176,64,50,65,97,212,196,200,198,190,178,155,85,103,118,132,141,145,145,168,225,192,209,170,148,192,112,216,179,48,45,65,54,183,209,195,196,197,160,108,86,104,120,133,142,147,147,178,208,161,171,156,105,166,118,229,141,28,56,77,63,111,193,186,201,174,107,71,88,106,122,135,143,148,150,174,231,187,160,141,92,150,119,83,36,53,69,96,125,139,166,174,158,98,70,164,89,108,123,136,143,148,151,170,235,205,159,137,146,150,174,84,92,163,157,167,164,155,146,133,84,89,190,212,89,108,125,137,146,149,152,167,227,213,182,148,141,150,187,191,221,212,197,181,158,130,111,77,85,203,212,204,90,109,126,137,146,148,154,166,225,214,178,149,162,208,229,235,216,198,183,164,133,103,67,73,197,215,207,208,91,110,126,137,146,148,156,162,217,217,186,169,177,211,234,232,213,187,166,136,102,59,80,192,219,209,211,209,93,111,125,138,147,149,157,160,202,222,197,181,169,207,232,224,205,172,143,110,57,111,212,217,212,214,212,211,93,112,126,140,149,151,158,163,190,221,199,169,153,200,209,196,183,156,123,60,119,225,218,213,215,215,213,212,92,111,125,140,149,149,157,164,183,210,175,147,153,199,189,166,146,118,60,113,225,215,214,216,216,216,214,212,91,111,125,139,146,148,154,163,178,202,173,164,170,200,181,144,116,65,69,214,217,214,214,214,214,214,214,213,91,110,126,139,147,148,156,165,178,226,203,188,180,194,170,124,102,50,146,222,211,214,216,216,216,215,215,214,91,110,126,139,147,148,156,167,176,235,221,195,172,188,151,113,89,58,184,220,215,216,218,218,217,217,217,216,91,110,125,139,147,149,156,166,173,214,202,178,170,188,144,125,68,62,199,218,216,217,217,217,217,217,217,217,88,108,125,138,146,149,156,163,178,207,182,154,164,177,140,115,47,65,208,218,217,217,217,218,218,218,218,217
24,125,127,128,129,130,130,131,131,131,131,131,131,130,130,130,129,127,126,124,124,124,121,120,120,116,115,114,113,126,129,130,131,131,132,132,132,133,133,133,132,131,130,130,130,129,128,127,125,125,123,121,120,118,117,116,115,128,130,132,132,133,133,134,135,135,135,135,134,133,132,131,131,130,130,129,127,125,124,124,122,120,118,118,116,129,131,133,137,134,136,136,136,136,137,137,136,135,134,134,133,131,131,129,128,126,126,126,124,122,120,120,119,129,136,129,111,137,137,138,138,138,138,139,138,138,136,137,136,133,133,131,131,130,128,126,125,124,123,120,119,129,141,118,68,109,144,139,141,140,140,140,140,140,138,138,137,136,134,133,132,132,130,128,127,126,124,122,121,132,137,112,78,67,138,141,141,142,141,141,141,141,140,139,138,138,136,135,133,132,132,130,128,127,126,124,123,133,138,132,93,54,109,149,141,143,143,145,146,141,141,141,138,138,140,140,135,135,133,132,129,128,127,127,128,135,137,141,113,64,70,147,143,144,144,131,131,147,144,142,144,143,130,126,141,136,134,133,132,131,125,106,95,136,138,141,134,95,58,111,152,144,134,100,73,124,133,97,97,129,106,72,107,142,134,134,134,125,108,78,75,137,139,141,144,117,69,62,145,146,123,114,92,71,101,81,51,75,104,69,48,130,139,135,127,115,92,65,121,138,139,141,145,132,85,59,109,153,117,128,110,76,70,87,60,78,104,72,45,123,144,128,106,104,64,81,135,138,140,142,144,145,120,88,74,136,104,119,121,89,57,84,69,86,107,72,53,136,143,95,88,90,47,110,135,139,142,144,144,147,142,98,75,100,101,93,125,97,68,61,60,81,106,65,71,152,121,76,92,72,63,134,131,141,143,144,146,147,149,119,112,101,91,77,104,105,71,47,44,55,74,50,58,145,87,78,93,55,110,140,131,141,144,146,147,149,150,146,128,101,74,60,61,105,86,68,37,30,46,38,35,70,71,86,76,62,138,134,133,142,145,147,148,149,149,152,129,86,72,65,56,86,113,100,50,16,46,55,73,78,83,89,57,93,144,133,133,143,144,148,150,150,151,153,133,113,97,68,60,81,110,90,55,42,67,93,98,95,80,73,49,125,142,137,135,143,145,148,149,150,153,151,145,129,101,69,63,76,102,89,95,90,88,99,96,91,73,42,73,145,138,138,137,144,147,149,149,151,154,152,143,138,112,88,70,60,96,126,123,118,107,102,94,84,57,45,134,142,139,139,138,144,147,150,150,152,154,155,141,138,119,98,73,65,91,131,130,126,113,100,88,76,36,107,151,139,140,139,137,144,148,150,150,153,154,156,142,128,116,105,78,75,98,126,122,115,104,91,81,52,66,150,142,143,141,139,138,146,148,150,151,153,154,156,146,122,120,111,89,80,100,116,114,111,95,78,65,40,128,148,143,144,143,140,139,147,149,149,152,154,155,154,156,135,119,111,95,73,87,105,105,101,82,68,36,97,153,143,145,143,141,140,139,146,149,150,152,155,155,154,157,149,129,111,92,69,75,92,90,83,67,39,82,155,147,146,144,143,142,141,139,146,148,150,152,155,156,155,157,153,128,107,85,76,77,86,83,70,44,56,157,149,148,147,145,144,143,141,139,146,149,151,153,155,155,156,156,151,131,110,99,94,89,89,84,61,32,116,158,149,149,147,146,145,143,141,139,145,148,150,151,153,155,157,151,147,139,125,108,92,95,92,75,47,53,151,151,149,148,147,146,144,143,141,138
18,152,154,158,160,163,165,167,169,171,173,175,175,175,175,176,178,179,179,180,180,179,180,180,180,180,180,179,178,154,156,159,162,164,167,170,172,173,174,177,177,177,178,178,180,181,181,182,182,181,181,182,182,182,182,181,180,156,158,161,164,166,169,172,174,176,177,179,179,180,180,181,182,183,182,183,183,182,183,184,184,185,185,185,184,158,160,164,165,168,171,175,177,178,180,181,182,183,183,184,185,185,185,186,186,186,187,187,187,187,187,187,186,159,162,165,168,171,174,177,179,180,181,184,184,185,187,188,187,186,184,173,183,190,191,190,189,189,188,188,188,160,164,167,171,173,175,179,180,182,184,185,186,187,189,186,184,201,175,135,126,184,176,173,192,192,190,190,190,163,165,169,172,173,176,180,181,185,187,187,189,190,190,161,139,179,151,103,98,104,144,128,146,197,192,193,193,164,168,171,173,175,179,181,184,186,188,188,184,183,211,157,127,155,145,108,99,82,138,141,96,171,198,195,194,166,170,173,176,179,181,183,186,188,189,197,169,130,166,178,152,157,167,150,146,129,119,124,95,136,204,196,195,166,171,175,179,180,182,185,188,188,192,209,185,151,117,168,164,133,171,181,179,174,139,90,79,131,206,199,199,169,171,176,180,181,184,187,189,191,197,193,203,177,131,118,160,120,131,177,178,180,144,93,65,143,206,201,201,170,173,177,180,182,185,188,190,191,199,163,178,172,145,92,122,130,107,146,146,170,151,104,65,153,206,202,201,172,175,180,182,185,187,189,191,193,201,148,128,155,120,76,92,116,86,98,132,178,168,120,70,171,204,201,202,173,176,179,183,186,187,191,193,195,205,180,144,141,96,65,83,98,71,74,92,190,180,134,80,176,207,202,202,175,178,181,184,186,189,192,195,198,205,176,135,129,93,63,76,96,58,62,124,196,194,150,92,115,209,204,203,176,179,181,184,186,190,192,195,198,205,189,152,122,95,63,77,97,62,134,199,199,189,148,106,81,196,209,207,177,180,182,185,187,191,194,196,197,210,200,167,130,102,87,75,80,136,210,213,204,174,133,105,88,198,209,208,179,181,184,187,189,193,195,197,198,210,202,172,139,118,106,102,130,199,218,207,189,163,115,92,101,210,209,208,181,182,184,188,191,194,197,199,199,208,204,181,156,140,123,115,157,210,219,198,164,140,107,80,126,215,209,209,180,183,185,188,191,194,198,201,199,206,203,185,163,142,130,118,158,209,216,187,155,127,98,78,154,216,210,210,180,184,186,189,192,195,198,201,201,201,201,187,163,143,150,124,146,207,209,174,141,114,92,79,181,214,211,212,181,184,186,191,193,196,199,200,203,199,197,192,172,159,161,130,129,206,193,159,124,102,87,91,203,215,213,213,181,184,188,191,194,198,199,199,201,200,194,189,177,160,162,138,121,195,177,142,113,93,83,112,217,214,214,214,182,185,187,190,193,195,197,198,202,203,197,191,181,161,154,137,115,181,163,124,105,91,77,142,221,214,214,214,181,183,186,189,194,194,196,199,201,202,201,199,180,156,142,119,104,162,139,106,98,90,83,181,217,214,215,214,180,182,187,189,194,195,197,200,201,195,205,198,169,145,120,100,111,147,119,109,99,86,124,211,212,213,214,214,181,184,188,191,194,196,199,201,201,195,214,195,169,151,125,120,118,143,111,111,96,88,183,215,213,214,214,214,182,184,188,192,195,197,199,201,200,199,214,202,181,164,132,122,131,131,113,106,81,137,214,213,214,214,215,216
12,74,90,104,111,115,123,132,140,144,148,152,157,162,166,169,173,176,177,180,182,184,185,185,187,189,190,191,191,78,93,106,113,117,127,136,143,146,150,155,159,164,169,173,175,178,187,187,184,185,189,190,190,193,194,193,193,80,96,111,114,119,129,139,146,148,153,158,162,167,172,174,178,180,159,170,194,187,190,193,200,193,195,196,195,83,99,113,116,122,131,140,147,151,156,161,166,170,176,182,188,193,115,77,160,202,157,108,162,204,194,198,197,85,101,114,119,123,134,142,148,154,159,163,168,174,161,135,200,201,128,80,72,138,148,85,64,181,203,199,200,87,104,116,120,126,137,145,150,157,161,165,167,200,150,81,92,190,158,111,65,68,149,115,57,120,216,199,201,89,106,118,123,129,139,147,153,159,166,164,184,212,152,106,60,154,192,126,91,59,135,134,79,94,217,203,205,92,108,121,125,131,141,148,155,161,166,169,200,195,182,135,100,111,206,153,97,50,100,134,88,78,213,205,207,95,111,123,126,134,144,150,157,164,165,184,186,158,206,167,120,73,169,179,102,52,61,112,84,61,207,210,210,97,113,124,128,136,147,153,159,162,165,214,145,135,199,181,119,71,114,181,100,55,40,97,70,53,206,212,212,99,116,126,130,138,148,155,158,146,138,170,137,119,165,176,131,83,64,151,94,55,35,79,65,57,209,213,213,101,117,126,130,138,145,167,185,170,165,161,127,71,53,158,128,69,31,117,100,57,33,70,67,66,215,214,214,104,118,127,131,141,145,179,211,200,204,190,99,56,0,100,97,50,17,76,120,96,40,86,86,84,226,212,216,106,121,128,133,143,145,188,205,161,163,144,70,56,9,42,80,62,4,39,160,121,53,91,108,49,187,224,216,107,123,129,134,144,148,183,185,142,112,137,98,65,21,5,80,72,21,70,153,130,61,64,96,27,133,233,215,110,124,130,136,144,151,173,156,120,77,111,133,60,35,2,46,49,72,147,143,119,60,45,61,40,160,230,217,109,123,131,134,145,151,171,180,146,104,79,133,65,46,23,30,74,137,160,148,125,94,69,53,72,213,224,227,110,123,129,133,143,151,176,182,145,113,83,106,77,47,29,42,122,156,159,158,144,110,79,40,139,241,215,193,112,125,129,133,145,151,178,178,160,146,92,73,95,76,53,64,163,166,164,172,138,100,68,60,208,189,174,130,112,124,131,135,146,153,175,176,171,154,87,87,122,101,67,86,178,175,182,163,112,88,57,96,202,93,101,170,112,124,130,137,146,155,170,169,163,159,88,104,121,94,99,153,186,186,176,135,92,75,56,91,93,112,79,98,111,124,130,136,145,155,163,158,163,152,101,112,123,99,140,165,188,177,153,110,76,59,77,143,90,129,91,81,112,124,129,136,147,157,166,165,171,147,107,117,124,97,141,149,173,163,135,91,67,46,115,183,106,69,133,185,85,91,94,98,103,109,111,136,164,144,119,124,118,99,132,152,150,142,105,71,50,82,96,102,105,91,143,130,80,81,81,82,85,84,77,94,165,146,126,121,112,106,114,141,133,99,73,55,53,98,175,132,122,130,94,123,85,84,87,89,90,92,95,90,161,169,138,118,114,112,110,128,116,76,56,58,146,169,226,198,199,155,126,182,85,86,86,88,90,90,92,87,144,155,134,112,104,98,100,112,95,68,39,93,224,190,160,163,172,137,98,111,85,87,88,90,92,91,93,90,147,152,95,81,80,82,92,92,71,55,32,81,217,171,170,188,217,180,120,90
8,174,174,175,179,181,181,180,179,178,177,177,175,175,175,174,172,171,170,169,167,166,165,165,163,161,158,156,156,178,177,179,181,181,181,181,181,181,179,179,178,180,175,174,173,172,172,172,169,168,168,167,164,162,160,157,157,181,181,181,183,183,182,181,181,183,182,181,173,165,178,176,176,175,176,174,171,169,169,167,166,164,161,160,159,181,182,184,185,185,186,185,183,183,181,186,169,100,168,183,178,178,177,175,172,171,171,170,168,166,164,162,160,182,183,185,186,187,185,186,186,186,181,195,151,70,160,186,180,181,177,176,175,174,174,172,172,170,167,163,161,184,185,187,188,190,188,188,189,188,185,201,120,68,179,184,182,181,178,177,177,176,175,174,173,171,167,166,164,186,188,189,191,192,192,190,192,188,195,204,111,84,192,182,184,182,181,180,178,177,177,175,173,172,169,167,166,188,190,190,190,192,192,193,193,186,205,198,99,103,196,183,188,188,180,181,180,178,177,175,175,173,171,169,167,189,191,192,191,193,193,194,193,187,210,181,80,118,199,189,158,158,193,183,179,178,177,176,176,174,171,170,167,190,192,193,194,195,194,194,196,190,217,177,117,138,194,201,162,105,148,179,189,181,178,177,177,176,172,171,169,192,194,193,194,195,196,197,197,194,220,178,152,152,189,191,196,153,105,109,125,185,186,186,181,177,175,173,171,194,194,195,196,197,198,199,197,197,212,186,163,170,210,162,204,185,173,150,65,84,130,120,178,180,175,175,173,195,196,197,197,198,200,200,195,209,207,165,176,193,196,154,139,182,167,149,90,20,33,28,86,191,175,176,174,195,198,199,199,200,200,201,200,208,180,163,167,179,179,139,71,107,193,151,103,31,17,29,34,175,181,178,175,197,199,201,201,202,202,199,213,206,154,137,140,169,162,103,49,26,207,169,112,34,35,42,40,181,181,178,177,198,200,201,202,203,203,200,230,215,175,126,90,158,141,78,45,59,203,182,115,38,23,13,111,194,179,180,177,200,201,202,203,206,200,214,239,207,171,136,100,146,177,152,180,184,169,163,113,54,0,61,190,183,182,181,178,200,204,205,204,207,201,228,230,192,176,143,125,96,195,217,182,187,148,123,113,58,37,180,193,185,185,183,182,202,205,206,206,207,208,237,218,193,179,125,106,161,214,198,154,173,152,91,107,36,116,206,187,189,187,184,180,203,206,207,208,204,214,240,215,195,173,123,158,218,207,185,152,147,145,72,73,20,164,199,190,190,187,185,182,205,205,208,207,210,219,237,219,197,169,145,196,209,196,172,139,129,122,68,33,52,204,193,192,191,188,187,186,206,208,208,213,183,219,235,217,188,164,148,186,186,172,156,123,125,90,48,5,124,209,193,193,192,190,187,185,205,205,215,191,45,98,201,196,161,144,151,158,176,157,135,116,97,56,21,23,191,198,197,193,192,190,188,186,207,207,216,85,37,28,60,156,171,156,151,149,176,148,118,89,51,33,0,118,209,195,198,193,193,191,190,188,204,223,145,31,37,36,27,36,111,150,138,147,161,117,80,56,41,6,61,208,198,199,198,194,193,191,189,189,218,191,53,35,32,27,33,9,0,31,49,99,127,76,40,34,5,41,194,205,200,200,198,196,194,192,191,190,211,91,28,35,28,22,25,30,0,0,0,0,15,23,15,0,70,195,207,200,200,200,197,196,193,191,190,189,124,26,34,30,25,17,21,28,0,0,0,0,0,0,0,45,217,202,200,200,198,199,197,194,193,190,187,186
5,178,180,182,185,187,187,187,187,188,184,202,147,157,191,184,184,183,181,182,184,179,179,178,175,180,104,50,56,181,182,184,187,188,188,190,189,189,185,218,123,122,197,185,186,185,187,176,166,184,179,179,187,146,49,64,80,183,185,187,188,190,191,192,192,194,193,217,113,141,199,187,188,184,198,149,106,191,181,181,180,87,45,68,89,183,187,188,190,192,192,194,193,176,207,199,102,171,198,189,188,189,177,105,120,193,181,189,153,59,54,66,81,185,188,191,192,194,195,199,209,105,200,181,101,189,196,192,193,171,134,92,177,190,183,192,123,52,69,84,93,187,188,192,194,196,200,196,218,110,171,178,107,199,195,197,179,142,92,147,197,187,186,192,137,65,79,83,89,188,191,193,195,197,200,197,226,141,143,158,117,204,200,176,147,112,117,200,191,190,186,194,159,76,84,80,73,190,193,195,197,200,202,201,214,153,128,126,137,212,174,130,119,96,180,199,193,192,189,191,179,84,69,63,65,193,195,198,199,202,203,201,219,171,116,101,159,201,127,107,89,157,203,194,195,194,192,191,198,115,41,48,69,194,196,199,199,202,204,202,225,194,123,112,147,163,111,93,124,210,197,198,196,195,194,193,201,144,52,54,50,196,198,200,202,206,206,205,219,193,122,115,121,129,111,91,163,208,200,197,196,197,195,193,198,173,134,134,93,197,200,201,204,207,206,207,210,189,123,99,97,103,102,100,198,208,192,199,202,199,199,196,198,183,104,171,172,200,202,203,206,207,209,208,210,198,147,106,97,86,83,137,206,153,123,135,193,207,200,197,198,177,122,186,140,200,202,204,207,209,210,210,208,207,167,109,89,88,81,116,124,107,129,131,140,171,198,200,203,198,164,114,123,201,203,205,207,210,211,211,208,217,189,134,94,87,89,85,96,113,106,139,163,151,165,173,171,181,199,136,162,202,204,207,208,210,211,213,212,226,213,173,114,87,88,98,87,79,87,129,127,150,162,155,118,118,182,184,177,202,205,208,210,213,214,214,214,226,225,189,124,90,83,92,79,123,188,201,168,156,134,151,152,134,99,184,186,204,206,208,211,214,215,215,214,231,235,192,128,94,84,69,131,232,208,213,209,166,163,172,146,119,134,193,127,204,207,209,213,215,216,216,215,235,241,197,136,99,79,60,105,171,221,201,145,145,167,138,110,177,204,204,157,205,207,210,213,215,217,217,216,235,244,200,142,103,71,70,82,88,167,130,137,158,126,87,176,211,199,200,195,206,208,211,214,216,217,217,221,238,239,196,142,105,71,72,88,95,80,106,143,124,96,166,209,201,202,201,199,206,209,211,214,215,218,216,221,243,236,191,142,105,72,75,92,98,102,112,118,105,186,216,204,204,203,201,199,207,208,210,213,215,217,215,220,242,231,181,137,105,75,79,101,103,106,98,92,184,216,206,206,203,202,200,198,207,210,211,214,216,217,215,224,236,219,173,139,106,73,83,107,110,105,88,172,216,205,209,207,204,201,201,199,207,210,211,214,216,216,210,230,235,211,174,144,102,72,78,105,113,91,124,223,206,209,209,208,205,202,203,201,207,209,211,214,218,210,215,242,234,206,175,144,103,78,79,107,109,79,176,216,208,209,208,208,205,203,203,201,208,210,213,215,217,203,236,244,227,199,178,142,98,81,90,110,84,118,218,210,210,210,209,207,205,204,203,199,207,210,213,219,205,208,247,237,212,194,176,135,93,82,94,93,90,199,216,212,210,208,209,208,207,205,205,191
10,109,121,132,151,176,186,195,200,202,205,206,208,209,209,209,211,213,211,211,209,207,206,205,203,200,199,195,193,110,122,134,154,177,188,196,201,203,206,207,210,211,212,213,213,213,212,211,210,209,210,206,203,203,201,197,194,112,123,135,156,178,190,198,202,205,208,210,212,213,214,216,216,216,215,213,213,213,198,205,207,204,202,200,196,114,124,137,157,180,192,200,204,208,210,212,214,215,216,218,218,219,218,217,214,222,160,161,215,204,204,201,199,116,126,138,160,183,193,201,207,209,211,215,218,218,219,220,220,220,221,219,217,227,163,141,217,207,207,203,201,118,128,140,162,184,195,204,209,210,213,217,219,220,221,224,224,224,224,222,221,227,161,136,217,210,209,208,205,119,129,142,163,186,196,205,211,212,215,220,222,223,224,227,228,227,225,226,225,234,167,138,222,215,213,211,208,121,131,143,166,188,198,207,212,213,217,221,224,226,227,228,228,228,228,227,229,213,166,139,224,218,217,214,211,122,133,144,168,189,200,207,213,216,219,225,227,228,229,230,230,232,233,234,238,145,137,136,226,221,218,217,214,123,133,145,170,191,201,209,215,217,221,227,228,228,232,233,232,233,228,216,211,137,107,142,230,221,220,217,215,124,133,146,171,190,202,211,216,218,223,227,229,231,234,236,240,242,226,193,136,123,91,151,237,223,223,220,218,125,135,147,172,191,204,211,218,221,224,228,231,233,235,232,209,224,221,168,105,98,106,128,235,226,225,222,219,128,136,148,174,192,205,212,218,221,226,230,234,237,244,226,174,141,117,95,102,125,108,103,229,229,226,224,220,129,138,149,175,193,205,214,219,222,226,232,236,225,216,240,206,138,64,68,96,188,134,99,222,232,227,225,222,129,139,151,176,193,206,214,220,224,227,232,240,218,173,184,224,165,87,77,96,203,168,101,215,236,228,227,224,129,140,151,176,192,207,214,221,224,229,233,240,235,217,164,204,174,111,67,114,205,179,100,195,242,230,228,226,130,140,151,177,194,207,216,223,225,230,235,238,200,211,160,157,176,120,76,165,206,175,96,175,246,229,230,228,131,140,154,179,196,207,216,224,226,231,234,246,207,162,152,122,187,174,121,203,192,146,94,185,245,231,230,227,130,140,155,180,195,208,216,224,227,232,236,242,219,172,146,143,179,191,132,200,179,125,91,206,244,232,232,228,131,141,155,180,195,208,217,224,227,233,237,242,247,205,158,141,143,182,174,196,165,120,86,219,245,234,233,230,131,141,155,182,196,208,217,224,227,233,237,239,248,223,187,158,155,231,229,187,154,115,93,233,243,236,233,231,131,142,157,182,196,208,218,225,228,233,238,240,229,219,199,180,169,223,217,173,144,104,106,246,241,239,235,233,131,141,157,182,195,208,219,225,229,233,238,243,225,217,206,192,173,213,207,160,131,85,130,255,240,240,237,234,130,138,155,181,195,208,218,225,228,233,237,242,238,214,208,189,166,188,184,145,118,73,178,255,239,238,236,233,128,137,153,178,193,206,217,223,226,231,235,238,243,227,202,181,162,165,174,145,110,91,230,245,239,236,234,230,127,136,152,177,192,206,216,223,226,231,235,239,243,243,210,182,178,167,177,155,98,131,253,239,238,235,233,230,127,134,151,176,189,205,215,222,225,231,234,239,243,240,222,203,197,176,174,145,92,164,255,239,237,234,232,230,124,132,151,175,188,203,213,220,223,228,233,236,240,230,234,215,199,175,153,133,88,173,253,236,236,234,231,229
17,149,149,151,152,154,156,157,157,158,159,160,162,162,162,163,164,165,166,167,166,166,167,168,167,168,168,168,168,148,149,151,152,153,157,158,158,159,160,161,162,162,162,164,165,166,167,168,170,168,171,169,168,169,168,169,169,148,150,151,154,156,157,158,158,159,161,161,163,164,164,164,166,167,168,162,157,166,147,165,170,170,169,170,170,149,151,152,155,157,158,159,160,160,162,162,163,163,165,166,168,167,170,165,130,126,113,138,177,170,170,170,170,150,151,153,155,157,159,160,161,162,163,165,166,166,166,168,169,167,171,182,147,105,96,141,178,170,172,171,170,151,152,154,157,158,159,162,161,162,164,164,165,167,167,168,169,169,169,184,155,117,85,153,177,170,172,172,172,151,152,155,156,158,160,161,162,163,164,164,167,167,169,171,170,171,169,185,167,131,94,166,175,173,173,172,172,151,154,156,157,158,159,162,163,164,165,165,166,169,155,158,176,171,170,188,168,135,115,177,174,175,173,173,172,152,155,156,157,158,161,162,163,165,166,166,166,171,158,124,150,177,175,189,164,134,123,178,174,174,174,174,174,152,155,157,158,159,161,162,164,164,164,163,166,177,163,145,129,152,171,186,164,131,119,177,175,175,175,174,174,153,156,157,158,160,162,164,162,169,172,147,131,166,178,175,171,136,112,156,161,137,121,176,175,176,176,175,174,154,156,156,159,162,163,164,163,179,181,145,122,158,164,184,180,160,113,113,143,130,118,176,175,176,175,175,175,153,156,158,160,162,163,163,169,171,158,168,142,146,128,146,191,175,136,100,120,119,113,175,177,176,176,175,175,155,157,158,160,161,163,163,172,180,141,138,131,104,93,98,193,186,155,106,103,107,107,174,177,177,177,176,176,155,157,159,161,162,164,163,177,168,135,123,132,109,108,106,180,196,166,121,99,106,102,171,179,176,177,177,177,155,157,159,162,163,165,162,179,175,159,146,138,121,137,126,165,203,167,135,101,105,102,165,181,176,178,178,178,156,158,160,162,163,164,165,186,167,147,142,135,130,149,151,181,187,169,144,106,99,100,166,180,177,178,178,178,155,158,160,162,164,164,171,183,154,140,136,135,144,146,191,199,168,160,143,105,94,95,168,182,178,178,178,179,156,158,160,162,166,163,177,186,158,147,137,139,144,171,205,193,170,151,136,105,91,96,172,181,180,179,178,178,156,157,160,163,166,163,182,188,162,152,136,141,150,196,194,186,167,147,131,103,91,106,182,178,179,179,178,178,156,158,162,163,166,162,187,186,166,159,142,143,169,204,190,183,160,137,127,102,87,130,187,177,178,179,179,179,156,159,162,165,166,161,192,186,170,165,154,144,180,201,183,180,162,130,119,100,91,164,182,178,180,179,178,178,157,159,162,164,168,163,195,191,173,173,164,149,179,193,178,173,161,130,114,93,112,185,178,180,180,179,179,179,157,160,163,164,166,163,190,195,177,177,168,158,167,189,174,173,153,128,109,89,148,186,178,179,179,179,180,179,157,160,163,165,167,163,181,198,180,172,164,165,163,181,169,176,158,123,107,92,166,184,179,180,180,179,180,180,157,161,163,164,167,166,176,197,178,170,160,163,167,172,164,178,160,123,104,99,177,182,181,181,181,180,180,180,158,161,162,164,167,165,178,192,175,170,160,160,165,171,162,176,152,123,101,122,187,180,181,181,181,181,180,180,157,160,162,164,168,165,181,193,183,171,163,165,169,170,158,172,140,117,98,155,186,180,181,181,181,180,180,180
12,185,185,187,189,190,192,192,192,192,192,191,191,191,190,190,189,189,189,188,187,187,186,185,185,183,182,182,182,186,186,187,189,191,192,193,193,193,193,193,193,192,191,190,189,189,189,188,187,187,187,186,185,184,184,184,183,187,187,188,190,192,193,193,194,194,194,194,195,193,190,179,167,171,183,179,176,182,187,187,186,185,185,185,185,188,188,190,192,193,194,194,195,195,195,195,195,193,183,158,128,122,159,153,131,133,170,187,187,186,186,186,186,188,190,192,193,194,194,195,196,196,196,192,189,188,171,143,111,111,147,136,107,88,135,167,171,181,187,187,186,190,191,192,194,195,195,196,197,196,195,184,163,173,172,145,105,130,160,138,109,101,132,131,115,139,177,187,186,191,192,193,195,197,197,197,197,199,200,183,151,162,183,147,106,154,174,140,117,125,133,115,87,85,139,184,188,192,193,193,195,197,198,198,198,205,207,186,150,144,163,127,99,159,169,127,124,154,145,116,85,67,101,175,189,193,194,195,196,197,199,199,200,209,201,178,140,108,101,90,80,124,136,106,136,177,152,120,79,57,88,171,189,194,195,196,197,199,200,200,206,211,194,161,125,90,55,58,93,131,143,133,160,178,140,101,66,53,90,173,189,194,195,197,198,199,200,205,210,199,180,146,118,87,63,105,160,177,173,164,170,151,111,87,73,62,98,178,191,195,196,198,199,200,201,212,211,187,161,144,138,109,128,176,189,183,174,163,165,154,118,103,94,77,119,184,192,196,197,199,200,201,205,219,212,191,168,150,156,157,189,200,189,181,176,164,162,152,121,97,87,81,148,191,192,197,199,200,201,202,208,222,216,202,188,170,170,184,198,199,187,183,173,159,157,140,107,82,69,84,167,193,193,198,199,201,202,203,210,222,220,207,194,181,176,184,189,191,184,180,168,159,149,122,91,70,59,100,181,194,193,198,200,202,203,204,210,222,220,206,189,176,174,178,185,188,182,175,163,151,129,101,76,62,56,121,190,195,195,198,200,202,202,203,209,218,215,197,181,174,176,179,188,189,179,167,153,132,105,82,66,55,61,144,196,197,195,198,200,202,203,204,208,211,207,196,189,183,179,181,192,185,168,151,137,115,90,73,59,53,90,173,198,198,196,199,201,202,204,206,212,217,216,210,201,190,178,179,189,174,151,132,118,98,79,66,56,81,151,194,199,198,198,200,201,203,204,207,217,223,220,211,198,186,176,175,180,161,136,117,101,83,70,66,94,153,192,199,199,199,199,201,202,203,204,209,221,223,217,206,191,179,175,174,169,148,124,103,84,71,82,124,171,196,201,201,200,200,200,200,202,203,203,211,221,218,209,200,186,174,172,171,158,137,111,85,68,91,150,189,200,202,202,201,201,200,199,197,201,202,203,213,214,206,198,192,181,169,168,162,143,122,99,73,83,151,195,202,203,201,201,201,200,199,197,158,177,194,205,210,201,192,186,182,176,170,165,153,130,107,85,76,132,190,203,203,203,202,201,200,200,199,198,89,100,141,195,200,186,176,174,175,176,168,157,144,119,95,73,93,172,203,205,204,203,202,201,201,200,200,199,75,70,87,145,168,161,154,158,166,169,156,144,132,107,83,68,122,194,206,206,205,203,202,202,201,200,200,200,71,71,72,76,85,92,93,99,111,121,120,118,112,93,71,73,153,203,206,206,206,204,203,202,201,200,201,199,69,69,69,55,32,39,45,45,47,52,58,69,79,74,58,88,174,205,206,206,206,205,203,202,200,200,200,199
8,113,120,125,130,136,140,144,147,151,154,156,159,160,161,162,163,163,164,164,164,165,164,164,164,164,163,163,162,116,123,128,134,140,145,149,151,155,158,161,163,164,165,165,165,166,166,167,167,166,166,165,165,165,163,164,163,121,127,132,139,145,150,153,171,146,161,166,168,169,170,170,170,169,170,172,171,171,170,169,168,167,167,166,165,124,132,135,142,150,154,159,188,127,152,172,173,175,175,175,176,175,175,176,175,175,174,173,172,171,171,170,168,127,135,139,146,153,159,167,200,124,141,177,179,181,182,182,181,182,181,181,180,180,179,178,178,177,176,175,173,132,138,142,150,157,162,171,208,125,138,183,185,185,187,187,187,187,185,185,188,177,178,183,183,182,181,180,178,136,141,146,154,161,166,173,207,131,136,188,189,190,190,187,192,202,155,156,207,169,133,177,188,188,187,186,183,139,144,150,158,165,171,178,213,144,130,191,194,200,205,159,178,209,163,128,177,175,139,133,191,193,192,191,188,142,147,155,163,170,175,182,218,160,137,190,198,224,231,211,195,177,169,176,195,152,107,107,181,196,196,194,193,144,149,158,167,174,178,185,220,182,165,186,210,224,224,225,188,172,176,180,180,152,106,81,159,200,199,198,197,147,153,161,170,178,183,187,216,192,185,204,215,199,178,227,194,167,169,155,148,164,124,81,169,203,202,201,200,151,155,164,173,180,187,191,213,210,191,205,215,194,151,181,202,137,112,106,151,180,144,101,186,207,206,204,202,154,159,168,177,184,190,194,212,226,174,196,188,178,161,152,198,141,86,75,187,199,164,115,153,210,209,208,206,156,161,170,180,186,192,197,213,232,173,154,178,151,148,144,184,160,118,84,169,217,184,129,105,204,212,211,209,158,163,174,182,188,194,200,211,234,196,133,148,147,135,156,179,173,135,168,214,213,183,133,93,179,215,214,213,159,166,176,185,192,197,203,211,242,216,158,126,159,142,179,213,186,169,223,222,192,155,125,99,182,219,217,215,161,168,179,186,193,199,205,211,243,226,181,135,137,152,183,224,220,230,233,207,178,140,111,104,208,222,220,218,165,170,181,189,195,200,207,212,244,236,203,159,132,154,175,228,233,239,229,197,160,126,99,138,225,225,220,205,164,171,182,190,197,203,208,213,241,241,216,178,151,157,167,220,237,235,214,182,147,117,90,180,196,158,120,83,165,171,183,192,199,204,209,213,237,241,225,191,173,163,164,201,233,230,202,167,135,109,84,100,74,61,59,60,166,173,184,193,200,206,211,215,229,236,231,203,188,179,152,188,216,219,193,153,128,100,69,50,49,49,47,57,167,175,186,195,202,207,212,216,221,234,232,213,196,186,151,181,191,209,181,144,118,92,57,43,41,54,42,47,167,175,186,195,202,207,213,217,217,227,229,217,200,183,152,151,184,187,166,131,107,77,54,42,32,48,52,40,166,174,186,195,201,206,212,217,219,215,229,219,202,178,151,133,169,167,151,122,98,52,39,52,33,36,51,46,167,176,187,195,201,206,211,216,222,212,235,227,204,179,151,130,147,158,138,113,85,31,24,45,47,30,41,49,168,177,188,196,202,207,212,217,221,214,233,224,197,173,153,131,135,144,129,102,69,39,14,31,50,40,31,45,167,177,188,195,202,207,212,217,221,205,235,207,180,177,161,136,128,132,127,91,51,52,15,19,43,50,34,36,165,173,182,190,198,205,211,216,218,174,240,210,189,192,169,137,123,125,122,76,33,52,26,11,33,50,42,35
23,46,58,77,86,91,96,102,105,107,110,112,116,118,121,121,124,126,127,128,129,130,133,134,135,137,138,139,139,47,59,79,87,93,98,103,107,109,112,113,118,120,122,124,125,126,128,129,129,133,134,136,136,137,138,139,140,49,64,82,87,94,99,103,107,110,113,117,119,121,124,125,127,127,128,130,130,135,136,138,138,139,140,141,142,52,66,83,88,96,100,103,107,112,116,119,120,121,126,127,129,131,133,132,134,135,136,138,137,140,143,142,142,52,68,85,90,98,102,106,110,114,117,120,121,122,126,128,129,132,135,134,134,134,137,140,144,142,144,145,145,54,70,87,92,99,103,107,111,115,117,120,123,126,127,129,130,134,133,136,140,124,125,130,82,129,148,145,146,57,73,88,92,100,104,108,113,117,119,122,124,127,129,130,131,131,144,154,137,106,91,64,47,140,147,145,147,61,77,89,95,101,104,109,114,118,121,124,126,128,131,131,137,150,144,138,87,45,77,85,135,151,148,149,151,61,80,91,97,102,106,110,114,118,120,123,127,129,131,126,167,149,103,70,47,111,126,155,151,149,151,152,153,62,82,91,97,101,106,111,115,118,120,124,129,130,131,130,174,151,66,57,154,144,53,128,152,149,152,153,153,64,82,90,97,102,107,112,115,120,122,126,129,130,131,137,179,153,127,175,166,116,71,97,165,151,153,155,154,65,83,92,98,104,109,114,117,119,122,125,129,131,131,146,175,159,177,161,129,115,128,88,108,120,158,154,156,66,85,91,98,104,110,115,119,121,123,126,129,134,132,147,162,155,158,144,152,152,136,78,27,50,141,162,156,69,85,92,98,105,111,114,119,122,125,126,132,133,136,148,145,139,151,158,146,132,110,58,9,12,82,168,158,71,87,93,99,107,111,116,120,122,124,131,131,141,158,149,133,136,142,134,128,130,102,42,6,13,25,82,159,73,88,93,99,107,112,117,120,123,126,130,126,165,180,142,137,137,137,133,124,103,78,39,10,4,37,30,109,74,88,94,99,106,112,117,120,123,126,129,128,149,185,156,156,133,96,74,56,60,85,38,6,0,34,37,129,76,89,95,102,106,112,118,122,125,125,129,131,142,178,160,142,116,96,46,0,61,93,37,8,22,39,67,168,78,90,96,103,108,114,120,124,127,127,130,133,147,171,142,129,143,83,26,7,81,63,6,6,45,39,117,172,79,91,94,101,109,115,119,125,128,128,132,133,144,175,140,148,145,69,0,4,12,0,0,23,48,59,164,165,82,90,96,102,108,114,120,123,127,129,133,134,146,169,144,155,132,85,21,0,0,0,31,45,35,105,172,162,82,91,97,104,109,116,120,122,126,129,131,134,148,164,145,160,134,84,40,0,2,35,52,55,49,153,164,164,84,91,97,104,109,117,121,125,128,129,134,133,151,163,151,158,134,86,53,0,19,49,58,45,92,174,161,166,84,90,98,106,110,116,121,125,127,132,136,134,155,161,155,155,127,87,51,1,27,55,58,36,125,173,164,167,84,90,97,106,111,116,121,125,128,130,136,136,157,165,148,142,122,87,52,20,26,55,51,45,156,167,166,167,84,91,98,107,110,116,122,126,128,132,137,136,156,162,140,134,115,86,56,35,27,51,35,84,174,161,165,166,84,90,99,107,110,115,122,126,129,132,136,137,156,160,142,134,111,89,64,40,31,41,39,149,169,164,166,166,83,90,99,105,112,117,121,127,130,131,137,136,166,159,145,135,113,93,70,43,36,31,102,173,163,168,168,168
24,158,160,163,163,164,165,166,166,167,167,166,167,166,166,165,164,163,162,162,161,160,158,157,157,155,154,153,152,159,162,164,164,165,166,167,168,168,168,168,168,168,166,166,166,164,164,164,164,162,160,160,159,158,156,155,154,161,163,165,166,167,168,169,170,171,170,170,170,170,170,168,167,167,166,165,164,164,162,161,161,160,159,157,156,162,163,166,167,169,169,170,171,171,171,171,171,171,171,170,169,169,167,165,166,165,164,164,163,161,160,159,158,163,164,167,168,169,167,168,173,173,172,172,172,172,172,171,169,169,167,167,167,166,165,165,164,163,161,160,159,165,165,168,168,176,154,137,173,174,174,174,173,173,173,172,171,171,169,168,168,168,167,166,165,164,163,162,161,166,167,170,169,181,136,122,174,174,174,174,175,174,174,173,172,171,171,169,169,169,168,167,166,165,164,163,162,166,168,170,172,179,120,130,176,175,175,176,176,176,175,173,172,172,171,171,170,170,169,168,167,166,165,164,163,168,169,171,176,176,118,138,178,177,177,176,174,170,172,175,174,173,173,172,172,171,170,169,167,166,166,165,165,170,171,173,180,174,118,143,180,178,175,179,177,153,131,166,176,174,174,173,173,173,171,170,170,167,167,167,166,171,172,173,181,168,134,148,159,177,150,147,178,163,123,112,166,177,175,175,171,161,149,143,160,171,169,168,167,171,174,175,183,180,182,175,158,188,151,116,169,171,127,81,125,177,176,170,151,119,103,98,125,171,171,170,168,172,175,176,184,185,201,182,174,191,160,110,159,163,119,73,93,169,174,163,126,94,97,118,145,171,171,170,169,174,176,177,185,184,207,187,185,197,156,96,121,130,100,62,76,152,169,146,107,96,150,170,172,172,172,171,170,175,178,178,190,204,204,180,184,199,146,91,57,98,123,104,113,149,149,117,98,140,178,176,175,174,173,172,171,175,179,180,195,199,188,160,148,166,122,87,86,153,171,159,150,146,123,95,118,174,179,179,177,176,175,173,172,176,178,184,192,175,171,147,115,110,117,151,184,188,175,159,142,130,113,99,161,180,180,180,178,178,176,174,173,177,179,189,203,182,167,151,135,117,186,205,199,189,170,145,127,113,105,132,181,181,181,179,178,178,176,175,174,178,178,195,210,190,169,155,165,195,214,204,195,182,158,132,113,107,109,169,185,182,181,180,179,179,177,176,176,178,180,203,214,196,182,184,205,218,213,204,189,170,143,117,107,98,132,185,185,184,182,181,180,180,179,177,177,179,180,207,216,201,192,204,218,218,207,198,177,152,126,109,102,110,173,186,186,185,183,182,181,180,180,179,178,181,181,207,221,205,195,209,216,204,187,178,158,132,114,103,108,162,188,188,187,186,185,184,183,181,181,180,178,181,181,203,222,207,192,201,203,194,172,158,139,117,105,110,163,190,189,188,187,187,186,185,184,182,181,180,179,182,183,195,207,196,192,202,203,193,171,154,129,104,94,155,191,192,191,190,188,188,187,186,185,183,183,181,180,182,184,189,195,191,196,201,194,188,164,143,116,86,114,187,193,193,191,191,189,189,188,187,185,184,184,181,181,183,185,188,201,207,200,196,186,183,159,134,103,80,151,195,194,194,193,192,190,189,188,187,187,185,183,183,182,182,184,188,211,210,190,194,183,172,153,130,96,88,175,196,195,194,194,193,191,190,189,188,187,186,185,184,181,180,183,187,216,209,182,196,179,164,151,125,97,91,179,195,194,193,194,192,191,189,188,188,187,186,185,183,182
19,154,159,164,168,171,174,177,179,179,181,181,181,182,181,181,182,182,181,180,179,179,178,177,173,183,188,153,209,159,164,169,172,175,178,181,183,185,185,186,186,185,188,185,185,185,184,183,184,183,182,181,176,194,145,143,213,164,168,173,177,180,183,185,188,190,191,191,191,192,185,194,191,190,189,189,188,188,187,186,183,184,189,205,211,167,173,176,181,185,187,191,192,193,195,193,207,203,139,141,199,193,193,192,192,191,190,189,188,184,194,187,157,171,177,181,185,189,192,196,196,198,200,195,223,201,132,91,185,202,196,196,195,195,195,193,191,189,189,172,161,178,182,187,190,195,198,200,200,203,206,201,227,201,147,86,154,212,199,199,198,199,198,196,195,193,192,187,190,180,186,190,194,199,202,204,205,206,209,205,229,208,160,91,125,218,202,203,203,202,202,200,198,197,196,191,195,184,188,193,199,203,205,207,210,211,214,210,231,205,150,79,95,222,212,211,209,208,207,204,202,199,199,196,199,188,192,198,203,205,209,212,213,215,219,216,232,200,150,117,140,186,180,193,197,200,200,206,211,209,206,201,202,190,196,201,205,208,213,217,220,219,217,212,219,207,200,205,207,170,136,161,178,161,150,157,159,181,194,202,208,193,198,203,207,212,215,209,187,190,208,210,219,214,217,213,192,172,152,166,187,170,165,163,143,178,178,160,206,196,200,206,210,212,232,210,182,193,198,197,199,196,189,183,169,152,119,118,141,152,155,157,142,153,163,130,188,197,201,207,213,216,241,211,196,190,174,176,184,180,175,177,173,161,101,145,162,161,154,145,140,144,169,66,164,200,205,210,213,223,213,159,147,160,171,190,193,183,182,180,178,172,123,192,246,232,228,224,219,231,187,46,105,201,206,212,214,236,193,160,154,157,168,175,171,176,179,176,175,155,100,179,238,226,226,225,224,236,107,59,56,203,207,212,218,227,175,174,176,171,158,127,136,158,146,130,138,118,90,218,231,233,240,238,230,181,69,63,64,204,209,215,219,228,216,193,165,154,162,168,164,159,152,144,138,124,111,239,246,224,184,134,84,59,61,63,65,205,210,216,219,234,246,214,163,134,157,167,166,165,163,154,143,140,110,173,145,61,44,53,45,47,57,57,61,205,211,215,222,235,245,215,166,149,142,131,134,142,140,130,122,116,100,46,27,42,33,40,37,55,53,51,57,207,214,216,224,233,232,227,176,155,133,111,115,133,133,122,115,99,74,48,45,49,41,33,29,44,47,43,51,208,215,217,229,238,240,240,194,151,122,142,153,149,143,130,122,97,37,35,52,41,38,39,38,30,36,37,44,208,214,215,228,240,241,244,205,149,119,134,141,137,126,111,103,94,36,22,41,44,40,28,30,38,37,36,38,207,214,214,222,241,236,222,177,145,134,133,142,140,120,104,110,85,39,28,29,40,43,32,17,29,32,44,44,207,214,215,222,238,228,210,171,147,143,133,135,117,95,107,111,35,31,37,26,27,43,41,22,20,23,37,41,206,213,213,222,231,226,199,167,142,144,137,116,81,71,83,68,12,17,30,26,26,30,44,33,15,22,20,17,210,216,213,220,224,217,175,143,148,177,139,79,70,36,0,27,37,13,20,27,26,28,32,41,21,17,20,16,198,203,203,224,218,204,172,149,167,171,125,76,68,25,0,6,37,30,17,27,21,22,24,31,32,11,17,15,119,114,183,231,215,203,179,173,181,158,117,84,52,42,0,0,21,37,26,23,20,13,21,21,30,18,9,16
13,230,231,232,232,232,232,232,233,232,232,232,234,234,234,235,236,233,233,234,234,233,233,233,233,232,230,229,231,231,232,232,232,232,233,234,233,232,234,236,234,232,232,230,230,239,238,236,235,232,233,235,234,233,232,230,231,232,233,233,233,234,234,233,233,234,235,233,235,247,250,230,195,189,221,219,235,235,235,236,236,234,234,232,231,232,233,234,233,234,234,233,233,234,234,233,255,255,255,250,202,156,133,165,170,238,236,235,235,234,234,232,233,233,233,234,234,233,234,235,235,233,235,235,224,227,253,255,214,165,119,147,123,204,244,233,236,235,235,235,235,233,233,234,234,235,235,234,236,236,203,222,221,198,219,246,227,178,125,161,168,184,247,235,237,236,236,236,235,232,233,235,235,236,236,232,252,253,194,196,224,228,234,227,232,205,126,161,160,175,248,237,237,238,237,235,235,234,234,235,236,236,235,234,255,254,219,194,163,203,229,222,192,156,116,108,164,226,241,239,238,238,238,237,237,233,235,234,236,234,246,205,186,235,244,221,158,101,180,226,198,173,153,128,149,249,239,239,239,238,238,239,237,233,234,234,228,248,255,188,139,162,255,234,192,101,93,150,180,207,220,194,135,181,252,237,239,239,237,238,236,233,233,232,249,255,232,181,160,120,227,247,195,152,92,92,114,232,244,229,191,132,210,247,236,237,237,237,235,234,232,243,255,224,220,195,184,116,176,255,207,188,117,102,95,181,255,243,209,163,140,236,239,237,238,237,236,234,236,251,226,188,214,208,191,138,105,234,237,209,159,90,126,199,245,245,209,185,138,196,248,236,238,238,238,233,240,255,238,199,200,222,188,177,115,125,248,225,197,139,161,255,238,226,199,185,140,191,250,238,239,239,239,232,240,250,234,214,185,204,212,208,169,83,149,239,228,215,180,247,232,209,174,156,127,209,248,239,239,239,239,235,239,253,249,231,208,177,198,216,193,171,94,202,229,214,230,237,217,199,169,135,126,231,243,240,239,239,238,226,227,254,255,246,222,206,193,197,196,212,148,229,250,243,246,229,210,189,162,129,149,250,244,244,243,242,240,152,148,243,255,252,233,216,212,214,195,167,189,250,255,255,237,223,207,181,152,125,167,231,225,229,229,232,233,136,117,210,255,254,242,227,216,221,221,191,185,237,255,255,237,209,193,174,143,131,136,142,145,145,146,145,147,141,130,167,255,249,248,242,229,222,220,210,174,202,254,245,230,207,178,158,138,130,138,131,124,125,137,166,192,139,139,135,232,242,242,245,242,230,219,207,191,175,232,234,216,197,170,148,135,126,140,157,178,207,230,242,234,138,142,131,172,247,236,245,249,234,221,204,191,177,197,220,200,176,162,146,127,132,202,240,247,243,236,240,233,139,139,141,129,209,244,241,241,225,213,199,186,176,175,194,193,177,158,142,113,188,255,248,234,227,213,214,224,140,139,141,133,145,242,238,222,209,201,193,183,163,158,179,197,185,149,129,118,243,255,241,229,204,184,180,196,139,139,137,140,126,212,247,212,193,195,190,180,162,145,182,209,173,139,113,166,255,247,246,229,183,156,176,187,139,140,136,142,129,178,250,219,208,208,194,175,162,145,187,207,151,133,109,229,255,242,255,241,189,141,161,187,139,141,136,141,130,162,253,230,221,222,202,182,172,146,184,195,147,123,130,255,241,236,255,255,208,147,143,178,140,141,136,140,130,161,245,238,233,227,204,192,182,141,177,189,147,112,159,255,238,232,249,255,227,157,133,156
10,99,105,111,108,92,76,87,55,46,76,76,84,86,100,113,117,122,130,133,139,144,148,149,153,154,157,159,160,107,113,119,110,99,79,98,49,54,77,79,80,107,142,111,120,124,132,136,141,144,148,151,154,156,158,159,161,116,122,128,113,105,81,105,42,61,77,82,74,149,168,95,121,127,134,139,142,146,149,153,155,157,158,160,160,126,132,136,117,110,85,109,37,69,78,83,77,135,176,98,109,135,137,141,145,148,153,157,159,160,160,161,161,134,142,143,120,112,93,109,34,74,79,83,82,114,177,115,96,139,142,147,150,153,158,162,164,165,165,165,166,142,152,148,125,113,103,103,35,81,79,83,87,100,175,145,93,137,150,153,155,161,166,169,170,171,171,171,171,149,160,151,131,112,114,95,40,84,80,85,90,96,165,165,100,126,158,157,162,167,172,175,176,177,177,177,178,156,165,153,137,111,125,86,46,85,81,86,92,100,152,177,110,110,165,163,169,172,178,180,182,183,183,183,184,160,171,153,142,109,135,73,55,86,82,86,93,104,152,194,127,103,169,169,174,179,183,186,189,189,190,190,190,165,175,154,147,109,143,63,60,84,84,87,93,107,154,193,136,103,171,176,180,184,187,190,194,195,196,195,195,170,177,155,150,109,147,48,89,92,83,87,96,111,153,179,135,97,168,181,183,189,193,196,199,200,201,201,201,174,180,156,149,113,137,99,142,86,93,106,96,117,160,161,140,94,162,187,187,194,198,201,204,204,204,204,206,177,179,157,147,118,134,132,134,82,77,79,83,112,168,148,168,90,150,194,190,197,203,205,207,207,207,208,209,180,180,160,143,122,156,105,125,110,83,71,64,68,97,123,144,85,135,199,194,201,206,209,210,210,210,211,212,182,179,164,138,130,131,74,81,127,114,94,64,48,76,101,112,94,113,199,198,204,208,210,212,213,213,213,215,185,177,170,135,140,116,71,121,142,129,94,67,57,64,81,95,92,96,197,202,206,210,213,214,215,215,216,217,187,176,173,129,157,88,99,189,165,125,98,78,70,66,74,82,85,95,198,205,207,212,215,216,218,218,218,219,188,176,174,123,162,74,110,191,161,111,118,99,77,71,70,76,79,98,202,206,211,214,217,219,220,220,221,221,190,176,174,121,169,66,77,204,194,98,90,118,97,83,68,69,76,106,208,207,212,217,219,220,221,222,222,223,190,178,177,122,172,55,81,204,202,91,122,120,117,96,71,70,69,121,212,206,213,218,221,221,222,223,224,224,189,179,177,125,178,49,79,189,150,110,180,141,118,110,79,74,65,128,214,207,214,218,221,223,224,226,227,226,189,183,173,129,174,44,74,173,189,155,186,163,126,115,93,81,68,136,214,207,213,217,221,222,223,226,226,226,190,188,167,137,167,41,76,143,192,168,177,164,151,120,97,86,69,141,214,208,213,217,221,222,223,224,226,226,192,190,160,148,154,31,82,95,181,193,177,175,150,127,103,89,70,135,212,207,212,216,219,223,224,223,225,226,190,192,152,154,152,65,104,88,171,194,173,189,144,126,100,91,75,149,218,214,220,224,228,230,231,233,234,237,182,194,148,154,179,121,116,112,144,193,171,182,143,116,101,96,79,126,158,161,165,169,176,178,181,184,189,187,188,193,145,163,174,107,107,112,110,175,168,157,149,131,119,100,75,101,120,117,117,119,119,120,120,119,120,84,191,188,141,169,170,112,112,116,112,138,147,139,150,155,145,101,68,74,127,125,128,130,130,127,127,132,106,73
6,232,234,237,237,238,237,239,239,237,237,238,236,235,234,234,235,233,232,230,229,228,227,226,226,225,223,219,218,234,235,237,240,241,241,241,240,240,240,241,240,237,235,235,235,233,232,231,231,230,230,230,227,227,224,222,219,234,237,239,241,242,242,243,242,242,241,241,240,239,238,236,237,236,234,233,232,232,231,229,227,227,226,224,222,235,238,241,242,243,245,244,244,245,244,243,243,241,240,238,237,238,237,234,234,234,232,231,229,229,227,225,224,238,240,242,244,245,246,246,245,247,245,244,244,244,242,241,241,241,239,235,231,232,230,231,227,226,223,217,222,239,241,243,247,247,248,248,247,247,248,249,248,245,241,234,229,224,224,221,195,201,216,215,197,211,203,223,253,241,243,245,247,249,249,247,249,247,246,233,223,226,228,221,224,226,226,215,209,201,225,223,205,213,209,213,240,241,244,246,249,249,250,249,247,253,252,223,203,215,228,231,236,237,235,215,195,196,190,191,176,167,168,158,168,243,246,247,248,250,251,251,246,255,255,232,218,206,206,208,202,198,189,179,167,139,139,125,146,180,185,206,222,245,246,248,250,250,251,252,250,255,255,249,231,210,196,191,182,175,163,146,124,95,82,98,223,244,239,237,233,247,247,249,250,252,254,250,255,255,255,255,222,186,182,189,197,193,186,174,166,162,115,195,248,233,234,233,231,247,248,251,250,253,255,250,255,255,255,248,188,165,176,181,193,197,193,182,172,173,131,204,247,238,237,235,232,247,251,254,254,255,253,253,255,255,255,215,173,182,176,164,171,191,175,168,168,153,113,214,246,240,237,235,234,249,251,254,254,255,248,255,255,255,255,238,220,198,180,154,163,193,182,178,180,150,143,248,242,241,239,237,235,250,253,254,255,255,254,255,255,255,255,255,255,207,177,188,196,194,183,170,156,156,138,225,247,241,240,237,235,251,255,255,255,248,255,255,255,255,255,255,255,196,165,175,181,183,175,158,149,147,117,224,247,241,241,239,236,250,254,255,253,249,255,255,255,255,255,255,241,195,171,164,154,161,167,164,157,127,153,249,244,243,243,239,235,249,250,255,239,255,255,255,255,255,255,253,249,228,205,162,127,145,167,161,157,120,201,253,240,243,240,235,238,248,254,245,234,255,255,255,255,255,255,255,252,255,235,176,149,170,188,171,149,134,143,247,242,240,240,246,224,251,255,233,252,255,255,255,255,255,255,252,255,255,217,161,148,158,155,145,133,114,139,247,246,251,243,181,108,254,241,244,255,255,255,255,255,255,250,250,255,235,189,155,152,147,135,124,119,128,225,255,236,182,120,75,67,248,235,255,255,255,255,250,245,237,242,238,220,194,166,152,137,125,172,185,206,232,211,157,102,68,64,66,65,235,244,255,255,255,250,237,234,230,227,223,196,173,159,164,148,180,217,183,158,115,81,53,46,56,63,59,57,224,255,255,255,246,234,221,216,226,219,206,193,181,161,134,103,96,70,57,54,57,66,38,43,50,56,54,55,241,255,255,253,242,231,214,206,206,197,184,173,149,117,85,62,49,56,54,59,64,54,28,38,44,51,53,51,255,255,255,246,235,213,192,190,179,159,145,128,101,72,61,71,46,43,48,53,59,48,24,33,40,50,51,47,255,255,253,249,219,181,179,174,163,146,110,84,66,55,54,67,52,35,49,49,52,43,22,31,41,51,47,48,255,255,251,241,185,172,194,179,153,125,75,63,53,49,49,60,53,39,48,38,48,36,21,32,42,50,43,43
5,163,164,166,167,170,170,170,171,171,171,170,170,171,169,169,168,168,167,166,165,163,162,161,159,159,158,157,156,166,167,168,170,172,172,172,173,172,172,172,171,171,170,171,170,170,169,167,166,164,164,163,162,161,159,158,157,167,169,171,172,173,174,174,174,175,175,173,180,144,165,172,172,172,171,170,168,167,166,165,164,163,161,160,159,170,171,172,174,175,176,176,176,177,177,177,185,122,144,174,174,173,172,171,169,169,167,166,166,164,164,163,161,172,172,173,175,176,180,178,148,180,178,185,180,106,146,175,176,175,173,172,172,171,169,169,167,166,166,163,161,173,174,175,178,178,192,159,113,180,179,186,159,97,164,179,178,177,176,175,172,172,172,171,170,169,168,165,163,174,176,178,178,181,197,128,116,182,181,176,144,102,178,181,180,178,176,181,151,161,174,173,172,171,169,167,166,176,178,180,181,190,178,96,158,185,175,157,125,114,181,182,179,177,184,168,117,143,176,176,174,172,171,169,169,178,179,181,182,205,172,95,179,185,161,144,102,139,182,170,167,168,151,114,115,169,178,178,177,174,172,170,169,180,181,182,185,217,161,96,182,182,153,132,88,163,146,153,165,126,98,131,171,179,179,179,178,175,173,172,170,181,183,185,189,214,139,97,187,164,156,135,95,118,116,131,123,100,145,181,182,181,180,179,178,177,174,173,172,182,185,187,189,210,182,103,157,142,145,116,87,91,98,86,108,156,183,186,184,182,181,180,180,179,177,174,172,185,188,190,191,207,200,131,106,111,117,93,78,97,92,106,178,187,187,185,185,183,182,181,181,180,179,176,174,187,189,191,193,201,205,170,125,107,106,86,74,99,100,163,190,188,188,187,187,185,184,183,181,181,180,177,175,190,191,193,195,197,225,202,153,105,93,88,87,91,149,184,176,178,189,189,188,187,187,185,183,182,181,179,177,191,193,195,196,198,226,204,151,100,84,80,92,95,130,137,147,155,160,170,178,183,186,186,185,184,182,180,179,193,194,197,199,204,224,195,142,90,77,75,91,100,111,140,146,171,170,170,174,174,143,177,187,185,183,182,180,195,196,198,198,214,223,203,149,96,72,71,89,99,96,116,102,135,155,157,166,161,125,165,190,186,185,183,181,196,198,200,200,224,218,201,143,100,74,71,82,83,80,104,111,164,166,154,168,185,146,143,190,188,186,184,182,197,200,200,211,223,211,196,140,99,70,63,72,70,146,193,195,199,196,187,190,157,114,181,192,190,188,185,183,199,201,201,224,218,212,191,140,92,69,67,81,90,107,172,203,192,170,169,167,103,145,194,193,192,190,188,186,200,200,208,229,216,208,181,122,86,66,80,88,98,107,116,151,160,174,161,126,73,176,197,196,193,191,189,187,201,193,220,223,211,205,168,110,86,74,99,115,123,120,110,122,151,159,139,94,99,192,199,197,195,193,191,189,191,108,141,206,213,191,153,109,85,88,113,125,126,115,111,108,135,126,99,129,188,200,200,199,196,194,192,190,121,75,74,103,173,176,144,113,85,94,119,117,110,97,104,91,89,106,168,200,202,202,202,200,196,194,193,191,80,71,67,67,75,107,120,92,72,80,104,101,93,83,85,76,123,193,206,206,205,203,202,200,198,196,194,193,79,67,62,64,62,60,47,41,44,53,68,76,73,70,126,183,207,208,208,208,208,206,203,201,199,196,194,194,69,62,60,59,55,57,36,24,30,32,35,41,59,144,207,211,212,211,210,209,208,206,204,201,200,197,195,195
20,163,166,169,173,176,178,180,182,183,185,186,186,187,188,190,189,191,187,191,189,189,188,188,188,187,187,186,185,164,168,171,175,177,179,181,183,185,186,187,188,189,190,191,190,216,165,175,189,190,191,189,189,189,189,188,187,166,169,173,177,180,181,183,186,187,188,189,190,192,193,193,192,228,158,174,179,167,197,191,192,192,191,189,189,168,171,174,178,182,182,185,187,188,189,191,192,193,194,193,195,225,162,192,191,145,199,194,195,194,193,193,191,169,172,175,179,183,183,186,189,190,191,193,194,195,196,194,197,232,177,190,207,143,195,197,196,195,195,194,193,170,174,177,180,183,185,188,190,192,193,195,196,197,199,195,202,235,176,194,221,151,191,200,199,198,198,196,195,172,176,178,182,185,187,190,192,194,195,196,196,197,197,196,211,226,172,205,218,151,188,203,200,200,199,198,196,174,178,180,183,187,189,191,193,195,196,199,200,200,211,199,211,229,170,211,214,145,188,205,201,201,200,199,198,175,179,182,186,188,190,193,194,197,198,199,194,217,245,221,166,187,170,211,211,148,193,205,203,202,202,201,200,176,181,184,187,190,192,194,195,198,199,204,223,217,203,211,170,131,139,192,194,150,198,207,205,203,203,202,201,178,182,185,188,191,194,197,198,200,197,223,242,229,178,192,197,188,160,149,168,146,201,208,206,205,204,204,203,180,183,186,189,192,196,198,199,201,200,228,194,188,215,159,199,222,188,132,136,140,205,207,207,206,205,205,205,181,184,187,191,194,197,199,200,203,201,229,184,129,142,116,142,214,200,151,125,132,205,209,209,208,207,207,206,182,186,189,192,195,198,200,202,204,205,226,190,176,146,128,120,185,230,181,129,127,206,212,210,209,208,208,207,183,186,190,193,197,199,201,203,205,207,237,221,179,150,143,145,163,242,207,147,119,203,214,212,211,210,209,209,184,187,190,194,197,199,203,205,205,209,239,208,163,147,151,163,186,245,223,168,122,196,217,212,213,211,211,210,186,188,192,196,199,201,204,206,205,209,239,212,176,164,167,174,218,245,221,181,129,195,217,212,213,212,212,212,187,190,192,197,200,202,205,207,208,211,242,223,189,171,180,195,243,243,211,179,131,194,221,216,215,214,213,213,188,191,194,198,201,204,205,209,210,212,242,231,202,175,190,214,245,240,207,173,134,194,223,216,215,214,215,215,187,191,194,197,200,203,205,208,210,210,240,237,206,189,192,230,244,227,203,169,130,191,224,215,216,215,216,215,188,192,195,198,200,203,206,208,210,209,237,239,210,207,196,233,242,216,196,164,124,189,225,217,216,214,214,214,188,193,196,199,201,205,207,209,211,209,229,242,219,220,207,220,232,207,189,161,118,190,225,217,218,216,214,214,188,193,195,198,202,205,208,210,212,212,221,241,226,223,213,200,216,189,183,152,116,196,225,218,218,218,217,216,189,193,197,200,203,205,207,211,212,213,217,240,235,218,196,182,195,178,182,148,121,214,222,219,220,217,221,220,190,194,198,201,204,205,208,210,215,223,217,239,228,202,172,163,184,178,176,130,145,228,220,221,221,226,211,156,187,192,196,201,204,208,211,218,203,127,107,231,216,186,163,157,193,174,162,110,182,239,225,226,229,209,142,119,152,153,155,157,159,163,164,170,161,102,56,192,227,194,163,170,207,155,135,94,87,173,198,196,193,137,111,112,124,122,125,127,128,127,126,128,140,145,111,135,203,184,166,183,199,133,115,74,63,106,129,134,141,122,102,93
0,222,224,225,224,226,228,228,228,229,229,227,226,227,227,227,228,227,226,227,228,227,227,229,229,225,226,227,225,224,226,227,226,227,229,230,229,231,229,228,229,230,230,226,228,231,235,229,231,230,229,230,229,228,229,229,228,227,227,229,229,228,229,230,230,230,230,230,229,229,232,245,220,176,197,238,219,226,237,232,232,230,229,232,231,227,228,229,229,232,230,229,231,232,230,235,231,191,187,254,212,171,139,148,167,157,211,220,171,224,235,232,232,228,230,230,231,233,232,232,233,234,236,255,243,194,145,209,222,194,166,83,154,152,131,201,125,205,242,231,233,230,231,233,233,233,233,232,240,212,198,255,240,208,165,201,248,198,174,105,180,170,125,168,134,194,244,234,235,230,232,234,234,234,233,237,255,210,153,221,255,215,175,186,255,215,179,113,199,173,114,134,141,159,254,233,237,230,232,234,234,237,231,255,255,222,184,186,255,224,175,167,255,219,175,110,202,167,98,116,158,97,235,237,237,231,234,234,235,230,253,247,246,237,203,154,253,233,170,142,255,216,160,84,159,153,88,101,173,79,168,253,236,233,235,236,234,236,255,210,239,251,211,138,220,241,168,114,228,202,141,73,123,133,79,103,179,93,131,254,236,235,235,238,233,250,246,193,212,246,208,135,181,232,159,92,176,185,134,79,101,118,68,128,192,109,136,255,241,234,236,238,235,250,239,202,193,221,186,123,141,206,149,81,132,177,129,77,105,120,83,185,207,122,140,255,242,232,234,234,242,252,224,188,152,200,176,118,111,194,147,68,100,180,123,70,136,125,120,223,202,122,152,255,239,233,234,234,235,255,245,201,138,162,179,105,97,187,154,67,94,191,125,154,216,169,132,208,210,119,168,255,240,234,236,234,238,255,249,207,156,108,152,133,90,192,172,82,106,190,194,216,206,186,146,144,191,110,173,254,239,235,236,234,243,255,254,222,183,134,119,149,116,188,186,164,213,225,220,205,189,164,150,121,127,92,169,255,239,236,236,235,243,255,255,231,197,178,163,157,186,203,218,240,241,236,222,202,181,152,132,123,100,78,165,255,241,237,237,235,243,255,255,243,216,199,186,173,178,208,227,237,236,239,224,195,176,149,122,107,99,73,196,255,244,234,236,235,238,255,255,251,234,220,195,185,180,198,221,235,234,228,217,189,170,143,117,105,81,144,249,248,246,238,241,242,233,255,255,255,247,226,201,186,184,199,227,239,235,219,207,186,165,136,113,82,126,245,244,245,245,190,195,204,192,237,255,255,248,227,206,189,184,200,232,236,227,211,200,181,153,126,98,96,233,255,252,255,255,103,106,113,94,175,255,252,240,229,212,196,178,200,227,222,207,192,180,164,138,115,91,127,194,193,198,196,193,113,114,114,97,134,255,235,229,229,218,201,176,193,222,211,191,167,150,137,124,101,102,105,102,99,94,124,170,111,112,115,106,123,251,221,225,232,219,198,177,187,219,205,177,138,119,112,101,105,116,106,104,143,204,254,252,109,109,111,108,118,247,221,225,232,213,199,185,181,208,197,158,112,99,91,105,115,117,156,213,255,255,246,223,110,109,110,109,112,253,242,227,230,209,194,189,173,188,184,138,98,91,94,102,132,227,255,255,255,255,249,222,109,111,109,108,107,248,251,238,227,206,195,196,167,176,176,128,93,88,92,165,255,255,255,255,255,255,255,251,111,110,110,110,107,233,250,247,227,205,196,196,162,165,171,122,87,72,172,255,255,255,255,255,251,255,255,255
1,64,67,72,75,87,107,120,126,129,135,141,146,150,153,160,160,162,165,166,167,168,170,171,171,172,173,173,173,65,68,73,77,91,109,122,129,132,139,145,148,153,167,146,164,167,165,166,167,168,170,171,171,171,172,172,172,66,70,74,79,94,112,126,132,136,144,148,149,167,195,108,138,156,168,168,168,169,170,171,171,171,171,172,171,67,71,76,80,96,116,129,135,141,147,160,153,158,203,104,117,122,145,178,172,173,172,173,173,172,173,172,172,68,72,77,81,99,119,133,138,146,148,192,163,122,203,102,120,137,107,184,177,178,178,178,176,175,176,175,174,69,74,78,82,102,123,136,141,150,152,197,170,113,188,101,114,148,89,176,185,183,183,183,183,180,180,179,179,71,74,79,86,107,125,138,143,154,154,201,173,101,181,121,114,154,91,167,194,187,188,188,188,186,185,184,183,72,76,80,89,110,129,141,147,158,164,191,176,93,154,120,116,170,100,157,202,193,195,194,192,191,189,188,187,72,76,80,91,114,133,144,146,174,171,163,177,90,131,119,103,164,99,153,208,197,199,199,198,196,194,193,192,74,78,81,94,118,136,148,146,201,163,152,174,91,148,132,100,186,119,151,213,201,203,203,202,201,200,200,199,74,79,82,96,121,140,150,150,209,144,146,189,100,141,132,101,195,135,144,217,206,208,208,206,205,205,204,202,76,80,82,99,125,143,152,158,211,135,130,189,94,104,118,101,189,138,134,221,209,211,210,210,209,209,207,206,79,82,84,102,127,146,154,165,216,142,103,175,101,105,117,138,170,125,127,224,213,215,215,214,213,211,211,210,79,82,85,105,131,149,157,169,223,154,80,191,181,142,144,161,144,98,116,223,217,218,218,216,215,214,215,214,78,81,85,108,134,153,160,172,219,144,120,161,148,135,139,130,126,125,99,213,223,220,221,220,219,218,217,217,79,81,86,111,136,155,161,179,224,170,159,121,112,136,139,114,137,164,127,159,233,222,224,224,223,223,222,221,79,81,87,114,139,159,162,190,232,179,143,110,125,118,146,161,183,196,181,118,186,234,224,226,224,224,225,225,80,82,89,118,142,162,163,201,235,173,128,107,126,137,179,227,194,196,201,125,105,224,229,228,227,227,227,225,79,82,91,121,146,166,165,206,237,173,122,115,134,151,201,228,233,204,160,103,93,206,238,229,228,229,236,240,80,82,93,125,149,168,169,202,242,182,123,120,141,169,209,224,229,197,142,97,98,221,234,233,243,237,203,148,81,81,95,127,152,170,171,199,239,195,138,120,150,178,218,231,220,184,137,93,112,237,239,232,171,108,61,42,80,81,98,130,155,172,175,198,236,213,160,124,154,176,223,232,204,171,132,88,133,255,218,106,43,39,46,44,79,80,99,132,156,173,177,193,225,216,174,135,149,178,224,223,197,161,123,79,169,213,84,54,56,29,49,47,77,78,100,133,158,172,176,190,210,214,183,150,152,175,218,211,188,150,115,86,125,71,33,48,67,29,28,56,77,78,102,136,161,175,179,192,201,211,191,164,162,159,207,197,177,136,106,84,70,57,50,25,54,49,15,39,71,73,100,136,163,177,182,194,203,207,192,169,164,147,183,181,159,122,98,75,80,63,49,26,28,60,23,20,90,90,110,139,161,175,182,193,204,205,193,174,166,149,152,170,145,112,86,69,80,65,41,31,17,44,41,12,121,122,121,118,123,130,134,138,139,154,202,180,170,152,137,155,136,105,73,63,76,52,51,28,17,28,50,16
12,166,167,167,166,166,168,168,167,167,164,163,163,162,162,161,161,159,159,158,156,155,153,152,152,152,151,149,148,170,170,169,169,168,169,170,169,168,167,166,166,164,164,163,163,161,160,161,160,159,157,155,154,154,153,152,150,172,172,171,171,172,172,172,172,172,170,169,170,166,167,166,163,166,164,163,161,161,160,159,157,155,155,154,153,175,175,174,174,175,175,174,175,176,174,172,172,170,170,169,172,167,166,167,170,166,160,162,160,159,156,155,155,177,176,176,177,177,177,177,177,177,176,175,175,173,160,129,140,173,168,157,143,154,170,163,161,161,160,158,158,181,179,177,178,180,180,179,179,178,177,177,177,177,161,134,85,144,169,144,114,83,147,173,165,165,162,161,160,183,182,180,181,183,183,182,179,181,180,179,177,186,180,151,116,83,135,163,128,78,90,174,152,165,167,163,162,184,183,182,183,183,183,183,182,183,183,179,184,190,192,165,138,82,81,173,136,99,64,97,114,100,154,169,164,184,185,185,185,185,185,187,186,184,185,187,186,170,182,174,135,106,61,153,143,113,57,51,107,75,89,177,166,187,187,187,186,186,185,187,188,186,174,165,178,167,173,167,130,93,45,138,143,113,55,45,98,72,45,165,171,188,187,187,186,187,187,188,185,184,157,116,129,160,153,161,116,75,50,152,135,104,49,42,90,66,39,162,174,190,189,189,188,191,192,189,179,185,164,144,121,118,108,164,127,86,64,161,122,96,46,56,100,68,57,180,172,191,190,191,191,193,193,189,186,186,180,165,152,97,71,164,162,103,74,160,126,88,50,94,114,58,98,188,173,193,194,194,192,194,192,193,177,153,176,177,158,124,83,159,160,100,79,176,151,90,81,123,102,48,142,184,175,195,195,195,194,195,191,195,179,124,132,176,161,132,75,103,135,76,102,189,145,82,112,150,104,57,168,181,177,196,197,198,197,196,193,200,198,160,81,112,156,108,62,39,57,31,62,150,124,73,143,164,98,105,186,178,179,198,197,199,200,197,197,189,170,137,91,61,136,89,63,47,49,37,59,97,66,71,192,158,82,108,195,179,182,199,198,199,202,198,192,195,182,160,127,70,103,104,83,70,68,68,130,159,135,132,142,112,55,57,192,182,182,200,200,200,200,199,190,202,195,169,123,83,84,114,107,75,75,142,167,170,150,157,130,63,38,63,191,183,183,202,201,201,201,201,188,201,203,176,134,114,93,104,115,95,147,196,187,182,145,142,134,84,38,107,199,182,184,201,201,201,202,202,190,198,203,179,151,123,108,106,131,176,196,204,196,180,142,129,117,75,39,161,194,185,184,203,203,203,204,204,192,192,197,179,156,125,115,112,149,202,199,199,187,164,134,116,100,62,57,193,189,188,185,205,206,206,205,206,193,185,189,181,156,125,124,116,162,205,197,193,175,149,128,107,89,42,104,204,188,189,188,206,207,207,205,209,194,183,189,178,154,128,128,122,178,199,197,184,159,139,124,98,71,48,177,197,191,190,189,207,208,207,206,209,198,183,186,184,164,138,125,123,183,191,192,175,149,129,111,91,44,95,207,191,193,192,190,208,208,207,207,209,205,185,185,184,174,147,122,119,176,183,178,160,138,116,95,75,36,163,202,195,194,194,192,209,209,207,208,210,208,185,185,182,168,140,123,118,158,171,161,143,118,98,80,41,79,206,195,199,196,194,194,209,208,208,210,211,207,187,184,177,160,135,123,120,146,159,149,129,106,81,62,37,169,205,196,199,197,195,195
12,106,110,115,121,134,146,153,159,164,169,170,172,175,177,180,182,185,187,188,190,190,193,194,194,195,194,195,195,106,111,116,121,136,149,154,160,165,169,170,173,176,179,181,183,186,189,190,190,193,194,194,195,196,196,197,197,108,111,118,123,136,149,156,163,166,169,172,175,178,179,183,189,186,191,185,193,194,196,196,196,197,199,199,199,108,113,119,125,140,150,157,163,167,170,174,176,177,192,161,160,197,201,150,146,199,193,200,200,198,202,200,201,109,113,120,127,142,152,158,163,168,172,177,171,200,213,170,136,177,204,163,120,151,160,145,194,203,201,202,202,110,114,121,128,143,154,159,165,170,174,178,171,223,221,182,150,158,205,176,146,118,158,126,144,207,202,203,204,110,116,122,129,145,155,160,166,171,175,178,179,225,238,200,155,155,211,175,147,111,150,148,112,189,208,203,204,111,117,123,132,147,156,161,168,172,177,173,188,210,222,214,156,145,217,176,141,107,149,143,113,192,209,206,206,113,118,124,133,148,156,163,168,172,169,181,195,198,186,191,146,124,188,166,130,108,152,135,122,203,210,208,208,112,118,124,135,149,156,162,169,171,214,232,170,128,134,172,130,110,158,137,117,112,146,124,139,215,208,209,208,114,119,124,137,151,157,165,163,198,251,204,155,134,107,157,141,106,144,139,118,113,139,119,149,217,208,210,210,114,120,125,138,150,157,167,166,221,197,186,165,148,110,139,171,109,143,173,128,124,172,134,156,220,209,211,211,115,120,127,139,152,158,163,175,222,176,168,179,151,126,90,116,85,110,150,120,130,179,146,108,178,219,211,213,114,121,127,141,153,160,161,184,221,182,154,171,145,133,85,72,102,134,134,133,160,147,124,113,132,217,212,213,116,122,128,142,154,159,161,186,235,194,164,144,133,118,80,94,146,185,189,182,174,149,144,130,143,218,213,214,117,122,130,146,154,162,162,193,235,195,177,142,118,119,106,135,186,206,203,188,170,146,138,121,173,221,213,215,118,123,130,147,156,163,162,196,231,201,181,150,136,157,151,190,213,212,204,180,158,144,126,121,202,217,215,215,119,124,131,147,154,163,165,191,223,196,176,153,153,158,157,210,209,211,201,168,149,140,119,147,220,214,216,216,118,124,132,148,154,163,168,182,218,192,174,159,155,147,166,201,202,207,186,159,143,134,119,189,220,214,217,216,118,124,134,149,155,163,170,177,214,189,178,172,159,160,184,197,202,194,171,152,138,123,137,217,217,216,217,218,120,124,135,150,157,166,171,173,202,195,187,184,171,164,184,191,191,172,152,141,133,118,173,223,216,218,219,219,120,125,136,151,158,165,171,172,192,203,186,178,165,152,158,175,173,157,140,133,126,134,212,217,216,217,220,220,121,125,138,151,156,165,171,175,186,211,180,171,158,146,147,155,150,143,132,133,118,179,222,216,218,219,220,219,121,125,139,152,156,166,170,176,181,215,195,169,149,142,151,148,149,143,132,124,139,216,214,217,219,220,220,220,121,126,140,152,158,166,171,178,179,214,209,175,161,160,164,147,149,144,129,112,176,222,215,219,221,221,221,222,122,127,141,152,158,166,173,175,191,228,220,184,175,168,165,144,140,132,124,103,186,223,217,219,221,221,222,222,121,127,142,153,159,169,169,194,221,209,238,192,183,167,160,143,132,123,122,101,188,223,215,220,221,221,222,223,122,127,143,153,160,169,172,225,234,188,208,192,182,164,156,138,122,123,120,104,197,222,217,220,221,222,222,223
24,163,165,167,167,168,169,170,170,170,170,171,172,171,172,172,171,171,171,171,170,170,169,167,167,104,27,13,4,167,168,169,170,171,172,172,173,173,173,174,174,174,173,174,174,173,174,174,173,173,172,170,171,96,13,21,22,169,169,172,173,173,175,175,176,176,176,177,176,177,177,177,176,176,176,176,176,175,174,172,178,123,23,31,39,169,172,174,174,175,176,177,178,178,179,179,179,179,180,179,180,181,180,180,179,178,176,174,176,167,46,29,32,172,174,174,177,177,178,180,180,181,181,181,181,181,182,182,182,182,181,181,180,180,180,178,174,182,103,23,20,174,176,177,178,180,180,182,182,182,182,182,183,183,183,183,183,184,185,184,183,182,182,181,179,183,154,30,12,175,178,179,180,180,182,183,183,183,184,184,184,185,185,185,185,187,187,185,185,185,182,183,183,179,186,54,2,176,179,181,180,186,185,183,184,186,187,186,186,187,188,188,187,188,189,187,187,188,185,185,184,182,189,126,104,178,180,181,185,157,181,188,187,187,187,187,188,188,188,188,189,188,189,189,188,188,188,187,186,183,191,132,151,180,181,182,188,125,137,196,185,188,188,189,188,188,189,190,189,190,191,190,189,189,189,188,187,186,190,142,176,181,182,184,185,140,90,185,188,189,189,189,189,190,190,190,190,192,191,192,195,190,191,189,189,188,188,176,151,182,183,186,189,166,88,135,200,188,190,191,191,192,194,193,192,196,200,178,171,195,191,190,190,190,189,194,147,182,185,187,188,179,134,88,182,196,190,193,194,190,182,192,197,163,196,181,108,154,201,191,191,188,179,160,147,183,187,188,188,190,170,104,109,196,194,191,195,198,152,158,205,124,121,195,118,114,203,192,190,191,165,114,93,183,187,188,187,190,181,151,115,137,199,191,197,213,183,143,169,151,104,191,136,119,201,192,194,198,135,87,106,182,185,186,186,188,188,171,145,120,154,194,194,209,213,157,124,180,112,168,151,125,203,185,203,175,89,139,197,183,185,187,187,188,190,184,162,147,163,168,179,171,214,178,110,153,133,155,170,108,159,169,196,129,103,196,187,183,185,188,189,189,190,192,187,188,185,157,146,133,172,191,122,100,141,151,183,97,101,175,165,99,167,195,187,181,185,187,187,188,189,191,193,206,173,146,126,102,113,182,135,75,155,142,196,119,129,172,122,117,200,189,189,188,192,195,195,196,196,199,197,204,203,174,129,109,119,147,153,84,152,153,120,141,162,155,90,145,200,189,190,133,139,140,145,150,154,158,161,165,208,210,184,127,110,137,157,112,120,175,116,201,161,132,98,194,204,197,193,77,78,78,81,81,79,82,83,72,186,221,212,188,121,125,170,160,141,177,195,184,134,118,93,122,119,130,156,88,87,88,89,88,87,88,91,76,142,226,200,210,161,124,137,207,221,224,205,157,124,101,87,112,147,172,194,88,85,86,85,86,88,87,89,86,97,201,197,211,191,146,125,159,218,211,178,148,107,96,188,208,203,199,204,86,85,85,84,85,87,87,88,91,82,137,212,216,201,158,134,136,196,195,162,140,87,125,182,175,194,190,189,84,86,87,84,85,86,86,88,89,88,86,194,198,175,139,122,130,162,170,143,109,83,175,173,146,163,179,180,83,83,85,86,87,87,85,86,87,90,77,158,191,146,139,133,134,149,156,129,87,96,168,188,135,123,154,176,84,84,84,84,86,90,85,84,86,89,79,133,198,169,169,155,144,150,153,119,76,105,161,182,148,111,147,165
2,207,207,207,209,210,210,209,209,209,208,209,208,209,208,208,208,207,207,207,205,205,202,202,204,199,98,58,82,211,212,213,211,211,212,211,212,212,213,213,214,212,211,212,211,207,213,210,212,205,206,207,211,186,77,75,88,217,218,218,216,216,218,217,217,217,219,219,218,213,220,228,189,127,173,193,175,218,212,210,212,203,103,86,82,220,220,221,219,219,221,220,221,222,220,218,222,231,227,180,131,95,103,133,102,157,206,213,211,217,138,85,90,224,223,224,223,223,223,223,225,224,225,239,250,206,140,108,95,87,89,99,88,78,169,225,211,224,159,81,78,227,227,227,227,227,228,228,229,224,238,255,226,135,83,88,84,78,71,84,87,74,166,228,215,223,187,88,58,230,231,231,230,230,230,232,232,227,255,229,141,96,73,76,82,74,68,73,81,125,217,222,218,219,220,95,39,234,234,234,234,234,233,235,232,241,255,179,97,85,76,69,76,81,96,150,191,227,227,225,222,222,223,143,123,236,236,237,238,238,236,237,229,255,253,158,105,86,96,82,83,98,188,242,233,229,229,227,225,225,228,186,167,236,239,241,241,241,241,239,243,255,218,135,87,83,90,82,111,209,239,230,232,233,233,230,228,227,240,141,180,240,241,242,242,242,243,236,255,255,199,133,92,86,81,88,159,255,235,237,236,234,234,234,233,230,237,159,218,243,245,246,245,244,244,243,255,251,188,135,113,100,86,85,186,251,242,242,238,238,236,236,235,233,232,214,195,244,245,247,248,248,243,255,255,235,171,125,109,106,102,94,230,249,243,243,243,242,240,240,237,235,235,239,204,247,246,248,250,250,241,255,255,221,158,113,103,98,103,122,250,247,246,244,244,243,244,243,240,238,240,235,229,248,250,249,249,246,243,255,255,212,156,114,99,97,99,133,255,247,247,244,244,244,243,242,242,241,241,238,229,249,250,250,253,243,255,255,247,198,145,115,102,107,92,156,255,248,248,248,247,246,245,246,247,246,247,246,239,251,252,252,254,246,255,255,232,183,136,112,100,98,84,141,255,249,251,250,251,252,253,244,232,222,213,225,247,254,254,255,247,250,255,255,222,173,128,107,94,89,104,93,181,255,251,255,255,235,218,206,202,196,182,147,186,255,255,255,242,255,255,255,209,161,127,104,80,93,107,110,102,220,254,234,208,199,200,213,206,178,156,140,167,255,255,253,249,255,255,244,191,148,125,95,75,104,109,117,126,127,157,175,198,217,207,181,140,151,210,240,247,255,255,246,255,255,255,232,182,144,121,85,88,122,127,141,143,142,151,182,206,191,152,117,158,249,255,253,251,255,255,251,255,255,255,216,174,140,119,87,103,135,145,151,147,148,155,169,149,137,166,209,255,255,251,250,249,255,250,255,255,255,248,208,166,127,116,95,118,141,153,155,148,137,127,119,158,228,255,255,255,255,253,253,252,244,255,255,255,255,244,200,153,121,115,105,135,149,152,145,131,112,121,197,255,255,255,255,255,255,255,255,255,255,255,255,255,248,214,170,135,121,111,114,138,143,146,126,109,174,243,255,255,255,255,255,255,255,255,255,255,255,255,255,240,214,181,149,125,120,111,122,130,136,127,106,194,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,213,190,169,140,122,117,120,120,120,117,129,215,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,225,184,172,145,119,122,123,122,119,112,174,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255
7,145,160,169,176,181,184,186,187,191,194,195,196,197,199,199,200,199,199,198,197,196,193,192,191,189,188,186,183,147,161,170,177,182,186,187,189,193,196,197,198,199,200,201,201,200,200,200,199,197,196,194,192,191,191,188,185,148,163,171,178,184,186,189,191,194,198,198,201,201,202,204,204,203,202,202,201,198,198,196,194,194,192,191,189,150,163,174,179,185,188,191,193,196,198,199,202,204,205,205,205,205,204,205,204,201,199,199,198,196,195,193,190,151,163,174,181,185,190,192,195,199,199,201,204,204,206,206,206,207,206,206,205,203,201,201,200,198,196,195,192,153,164,175,182,187,191,192,196,199,201,204,205,205,207,207,207,207,207,206,205,205,204,203,201,200,198,196,194,154,166,175,183,189,192,193,196,200,201,204,206,207,209,211,214,215,216,213,212,211,210,206,205,204,200,198,196,154,165,176,183,190,193,195,201,205,208,209,209,206,205,201,191,182,179,178,180,165,152,169,172,185,203,198,198,155,166,177,183,190,195,193,179,171,164,163,162,154,139,131,139,108,112,121,121,117,115,168,163,145,207,200,199,156,168,177,183,190,193,174,137,120,131,132,138,137,128,119,108,104,104,109,100,110,106,118,109,148,203,205,201,158,168,178,183,188,181,161,124,101,108,111,114,118,121,123,123,125,106,107,119,111,107,99,92,112,134,168,205,157,169,177,178,174,161,152,134,116,110,119,130,136,139,138,134,127,95,96,121,108,98,98,87,104,123,117,202,163,176,173,170,161,160,156,141,134,135,140,149,138,134,131,125,101,84,85,87,79,75,75,71,77,91,143,207,183,177,172,169,169,166,149,117,95,106,120,122,107,99,94,87,82,100,117,137,148,160,165,171,176,184,205,206,185,179,179,175,164,144,138,95,77,95,92,71,96,150,165,186,198,211,221,226,226,224,222,221,218,214,208,207,182,181,177,161,141,137,124,91,78,67,54,46,65,108,110,166,232,220,217,216,215,215,214,212,210,209,208,206,184,182,164,145,133,125,128,126,100,65,61,68,62,52,42,46,203,225,220,220,218,217,217,215,214,211,209,207,180,164,140,132,129,128,138,144,110,68,66,69,70,68,62,61,207,225,220,220,220,219,217,217,216,214,212,208,155,138,126,125,121,114,120,115,80,60,52,51,60,60,56,49,195,228,219,220,221,220,218,217,215,214,212,208,137,129,124,123,117,101,98,87,70,50,41,55,65,66,52,58,194,228,220,222,221,219,217,216,215,214,211,208,131,122,116,109,98,84,81,89,85,62,66,76,73,54,73,202,228,222,223,222,221,220,217,216,216,214,212,209,117,104,99,95,92,91,100,110,94,69,59,57,67,91,193,229,221,222,222,221,220,219,216,215,215,214,212,209,111,107,105,99,95,95,99,94,67,62,119,161,192,219,223,217,221,219,220,219,218,217,215,214,212,212,209,208,104,105,101,94,84,79,74,73,103,178,220,223,221,217,217,220,221,220,219,219,218,217,215,214,214,211,209,206,69,71,86,85,86,96,132,179,210,215,210,212,215,217,218,220,221,220,220,219,218,216,215,215,213,210,209,205,17,22,167,168,181,195,205,206,205,208,211,215,215,216,217,218,218,217,217,217,217,215,215,213,210,207,206,204,0,40,183,182,192,194,194,200,205,209,211,216,218,220,220,220,220,219,221,220,221,219,217,216,213,212,212,208,0,78,203,183,186,188,189,190,191,192,189,189,191,191,191,186,184,184,182,178,174,171,168,164,161,155,148,114
21,169,171,173,174,175,175,175,176,177,177,177,181,179,179,178,178,177,177,177,178,177,177,176,175,174,173,173,172,172,174,178,178,178,178,179,179,180,182,178,159,181,181,181,181,181,181,181,182,181,180,178,178,176,175,175,174,177,178,180,181,182,183,182,183,183,184,191,125,161,191,183,185,185,184,183,183,183,182,181,180,180,180,179,178,179,181,182,183,184,185,186,187,187,187,196,130,142,197,187,188,189,189,186,186,185,185,184,182,182,183,181,180,183,184,186,186,187,188,188,190,189,190,198,131,127,198,190,181,153,180,193,189,189,188,187,186,186,185,184,182,186,187,189,190,192,192,192,193,193,192,203,149,121,196,194,180,131,138,202,191,191,190,190,189,189,188,187,185,188,191,193,194,195,195,195,195,197,193,210,183,122,186,201,178,136,124,200,196,195,194,193,192,191,190,188,187,191,193,194,195,196,196,197,198,199,195,213,190,122,170,207,177,138,120,193,202,197,196,195,195,193,193,192,190,193,195,197,198,198,199,200,200,200,196,216,202,137,157,210,185,161,127,188,204,199,199,199,198,196,195,194,193,196,198,198,200,200,201,202,202,201,201,193,188,164,146,212,182,159,127,185,207,201,201,200,199,199,198,196,195,199,201,200,200,202,202,203,204,203,209,188,148,145,140,209,179,170,125,184,211,203,203,202,201,201,200,199,197,199,201,202,203,204,205,205,206,203,220,211,167,107,117,208,186,187,139,186,213,205,204,205,204,203,201,201,200,200,203,204,205,206,207,207,208,207,221,219,169,134,165,167,156,167,147,152,215,207,207,206,206,205,204,203,201,203,205,206,207,207,209,210,208,203,189,205,173,126,150,139,153,146,149,132,192,214,209,208,207,206,206,204,203,205,207,208,210,210,211,211,212,196,137,162,192,113,78,125,140,115,182,151,155,220,209,211,209,208,207,206,205,207,208,210,211,212,213,211,215,206,160,119,195,146,90,103,91,153,213,182,136,202,214,211,211,210,209,208,206,207,210,210,211,212,212,216,206,202,189,118,180,172,93,113,169,155,200,193,135,155,223,210,212,211,210,210,209,209,210,211,212,213,214,216,221,189,183,129,109,117,81,112,200,192,181,159,126,118,212,215,212,211,210,210,210,210,211,212,213,215,215,214,210,173,170,130,98,87,99,152,204,206,178,134,115,118,210,217,214,213,211,211,211,211,212,213,216,218,217,214,209,203,157,151,132,103,142,200,213,198,174,136,108,138,224,215,216,214,213,212,212,211,213,214,216,217,219,214,220,193,175,162,149,114,172,220,210,200,171,133,98,177,228,216,217,216,215,214,213,212,214,216,217,217,219,218,220,206,186,151,192,178,214,224,217,200,155,122,103,208,223,218,218,216,217,215,213,214,215,216,218,218,219,219,216,215,176,173,190,201,228,233,225,185,140,105,128,227,219,220,219,218,217,216,215,214,216,217,218,219,220,221,205,208,191,187,174,195,219,227,210,165,133,98,163,233,221,220,219,219,218,218,215,214,215,216,218,219,219,221,202,202,197,190,174,189,206,203,181,141,118,103,207,227,222,222,221,219,219,220,220,212,215,216,217,218,218,223,213,192,191,186,184,174,179,184,154,122,97,154,232,222,223,222,222,220,218,217,208,213,215,217,218,219,219,221,223,193,189,184,188,167,166,173,140,109,105,213,225,223,222,222,221,221,220,218,149,215,216,218,218,219,220,221,225,200,184,172,174,160,156,161,135,95,133,230,222,224,224,223,220,225,192,161,125
15,128,131,135,132,113,102,102,103,88,70,100,103,53,21,46,66,71,75,80,85,92,104,113,119,125,130,134,137,129,132,135,132,112,104,104,104,85,73,103,102,49,23,50,66,71,76,81,86,93,105,114,119,126,131,134,137,130,133,136,131,112,106,106,105,81,78,106,98,42,26,53,67,72,76,81,87,94,106,114,120,126,131,135,138,132,134,136,130,114,108,107,106,79,84,109,94,35,27,56,67,72,77,81,87,95,106,114,120,127,131,136,139,133,136,137,132,125,118,112,106,84,91,108,89,32,31,58,68,72,77,82,88,96,108,115,122,128,132,137,139,133,137,138,132,124,121,117,113,106,106,109,94,62,57,71,74,76,78,83,88,98,110,116,123,129,133,137,140,134,138,139,127,112,105,98,102,106,107,111,114,107,101,100,98,96,93,89,89,98,109,117,124,130,134,138,141,136,139,139,125,112,105,93,89,88,90,98,113,114,111,110,112,118,118,106,96,94,98,112,123,130,134,139,142,137,140,139,124,115,113,110,93,76,88,90,97,100,101,99,107,124,132,122,107,96,83,94,120,130,135,138,142,138,140,139,123,115,115,116,93,77,108,105,73,70,87,92,111,130,135,129,120,110,89,81,107,129,136,139,142,139,142,139,122,117,117,117,90,81,115,111,51,32,65,96,129,132,136,138,136,126,105,84,88,120,136,140,143,140,142,139,122,119,119,119,94,90,115,106,43,31,73,108,131,120,134,144,147,140,115,89,77,98,130,141,143,141,143,137,123,122,124,118,107,108,111,98,57,70,108,112,101,105,135,146,148,140,117,95,79,78,113,139,144,142,144,136,123,124,124,113,114,123,121,103,85,96,105,97,82,101,140,137,130,128,116,101,84,72,88,129,144,143,144,135,123,124,117,100,105,122,123,104,94,100,101,101,103,113,119,108,107,114,113,99,84,73,71,105,138,143,144,134,125,126,122,104,93,111,111,95,95,102,103,108,115,115,101,87,89,100,101,93,82,75,67,78,116,144,144,134,128,128,127,111,84,107,94,80,87,95,99,107,115,109,92,80,81,88,90,89,86,79,71,67,80,144,145,134,129,129,129,108,86,109,81,62,66,81,89,97,106,103,90,81,81,84,86,89,89,83,76,69,63,145,145,134,130,130,130,110,93,90,66,50,48,85,96,85,93,94,88,85,86,87,87,89,89,83,78,71,65,145,144,133,132,131,132,119,87,66,56,41,37,105,122,88,88,93,90,92,96,95,93,91,87,83,80,74,68,145,143,133,133,132,134,112,73,60,67,37,26,90,123,101,93,104,107,110,111,105,97,90,84,82,82,79,72,146,142,133,134,134,130,92,70,87,98,40,23,64,101,104,86,91,109,114,111,104,94,87,82,81,83,82,78,147,142,133,137,137,131,87,95,126,111,37,26,59,77,85,75,72,95,108,103,96,89,85,83,85,86,84,82,147,142,136,139,140,133,87,114,140,110,32,28,61,72,74,73,76,91,111,104,93,86,83,85,88,89,85,82,147,141,138,141,143,131,86,120,143,105,27,30,63,72,73,75,78,85,106,120,108,89,82,81,85,90,90,85,146,140,140,143,143,127,86,126,143,97,24,33,65,71,72,74,78,82,93,121,132,111,93,84,86,94,97,91,146,141,142,145,145,123,89,132,144,89,22,37,66,70,71,73,78,82,89,108,128,116,104,105,105,108,106,99,147,143,144,146,145,119,90,135,143,82,20,39,67,70,71,73,77,81,88,101,112,110,115,121,118,118,116,111
7,205,206,207,209,211,211,210,211,211,212,212,212,212,212,212,212,212,212,212,212,210,209,208,207,205,204,203,201,206,208,209,210,211,212,212,214,214,213,213,213,213,213,214,215,214,213,213,214,212,211,210,208,206,205,206,204,208,210,211,213,214,215,214,214,215,216,215,216,217,217,216,216,215,216,216,215,215,213,211,210,209,208,207,205,210,211,213,214,215,215,217,216,216,217,218,218,218,218,218,217,216,217,218,217,215,215,213,211,212,210,208,206,212,213,215,215,216,218,218,218,218,219,219,219,219,219,219,219,218,219,219,218,217,217,215,214,213,212,210,210,213,215,216,217,218,219,219,219,220,219,219,221,220,220,221,220,220,220,219,219,219,217,217,217,215,213,211,210,215,216,216,218,220,221,221,221,222,221,221,222,222,222,222,221,221,222,221,220,220,219,218,217,217,215,214,212,216,218,218,220,221,222,222,222,224,226,225,224,224,225,224,224,223,224,224,222,222,221,219,218,219,218,215,214,217,218,220,221,221,223,226,229,219,201,214,221,222,220,223,224,225,224,223,222,220,219,224,220,219,218,217,216,218,218,221,224,228,230,232,236,228,197,179,198,211,209,212,212,210,212,213,214,210,221,237,208,222,218,218,217,221,226,230,234,234,230,228,226,224,198,167,180,195,203,203,198,194,197,194,201,195,194,183,205,223,219,219,219,234,235,234,231,226,219,211,211,218,201,171,162,170,186,197,204,203,195,196,199,190,191,195,198,220,217,219,220,233,230,225,220,216,211,210,215,226,213,174,164,164,160,165,169,171,172,180,184,184,186,195,189,196,194,221,220,229,221,212,208,205,207,210,218,214,194,173,167,176,178,172,152,156,200,196,194,188,187,188,192,192,213,225,222,227,218,207,203,204,203,199,208,215,195,164,148,162,179,181,176,158,215,239,232,232,232,230,229,230,228,224,224,229,221,213,209,209,209,205,206,220,207,173,160,166,164,163,163,155,220,233,230,231,230,229,228,226,227,226,227,223,221,218,213,210,209,208,211,219,206,179,177,184,174,175,148,192,242,232,234,233,232,231,230,230,229,230,214,215,217,218,217,213,207,204,206,200,190,176,174,180,177,167,168,238,235,234,235,233,233,232,232,231,234,192,147,182,205,220,215,206,202,196,187,173,159,146,123,132,161,150,200,244,234,235,235,234,234,234,232,237,220,144,148,99,124,167,196,186,172,172,176,196,211,152,114,130,149,171,234,236,236,236,235,233,232,232,234,232,180,139,135,82,76,84,97,152,215,225,237,240,246,226,163,182,202,231,239,237,237,236,234,234,239,235,231,177,135,127,109,78,77,74,76,217,244,237,237,236,236,238,238,239,243,239,238,238,237,236,240,241,204,166,148,130,120,111,99,72,72,64,95,240,234,235,238,238,238,238,237,236,236,238,239,239,237,239,220,171,138,138,130,122,110,100,94,73,73,63,86,239,236,236,237,238,238,238,239,238,238,239,239,238,247,222,146,109,111,127,118,114,113,105,91,80,76,52,83,245,240,241,241,241,243,243,244,244,244,243,244,246,219,162,140,112,92,106,112,106,108,110,95,79,65,48,70,203,209,210,213,215,217,219,219,221,223,223,226,214,141,115,142,109,86,88,103,99,101,110,103,67,52,52,76,144,141,143,145,146,149,151,152,153,154,152,162,162,122,107,135,106,80,85,92,94,95,104,106,56,55,53,95,155,146,147,148,148,147,147,148,148,145,149,158,148,113,101,128,102,80,81,88,90,92,98,104
13,147,149,152,153,153,154,156,158,159,159,160,160,161,161,161,161,161,161,160,160,161,160,160,161,161,159,159,158,148,150,153,153,154,156,159,160,161,160,161,161,162,163,163,163,163,162,161,161,161,160,161,161,160,161,161,161,150,152,154,155,157,159,160,161,161,162,162,163,165,165,165,165,165,164,163,165,162,161,162,163,163,162,163,162,152,154,155,156,158,160,161,162,162,163,164,165,167,167,165,167,165,170,171,159,167,162,165,164,164,165,165,164,154,155,157,158,160,160,162,164,164,165,165,165,167,166,167,167,168,200,184,128,141,173,160,167,167,166,166,166,155,157,159,160,161,163,165,165,166,166,167,167,165,169,169,165,180,204,172,115,137,194,132,118,168,167,168,166,156,158,160,162,162,163,166,167,167,167,169,167,170,202,179,152,196,196,182,108,155,183,135,75,137,174,167,167,157,159,162,163,164,166,168,168,168,170,169,163,188,211,194,156,164,162,140,73,158,180,125,69,114,180,168,169,158,161,163,164,166,167,169,169,169,171,171,181,175,202,203,180,122,71,77,65,154,145,82,54,121,180,169,172,160,162,164,166,168,168,169,171,171,168,191,208,164,150,211,189,144,68,60,100,164,134,93,63,126,181,172,173,162,163,164,167,169,169,170,173,171,176,211,208,192,129,179,190,141,90,35,72,172,191,186,105,129,182,172,175,162,164,167,168,169,172,173,175,169,195,206,209,206,157,121,169,130,84,42,95,171,182,180,139,135,183,175,177,163,166,169,169,171,174,175,174,173,207,195,195,198,162,89,139,158,88,94,198,195,173,154,143,116,178,177,178,164,167,169,170,172,175,176,173,189,211,198,176,165,127,67,115,176,121,182,210,195,175,147,127,104,176,180,178,166,167,170,173,173,174,177,174,192,211,203,179,153,126,82,58,156,192,208,200,192,169,140,103,122,185,178,179,168,169,172,175,174,174,178,176,190,211,204,180,143,140,109,85,199,211,208,200,181,150,129,93,142,188,180,179,168,170,173,175,175,175,178,176,196,211,207,189,174,149,172,189,211,208,206,197,169,146,121,87,153,189,181,181,168,171,174,176,177,177,180,177,198,211,210,199,193,175,185,195,210,204,197,191,164,138,104,87,171,187,182,182,170,173,175,177,177,180,182,178,193,211,210,204,195,183,181,187,209,198,186,185,162,118,84,119,192,183,185,184,172,174,176,178,180,180,182,181,188,211,211,210,196,179,183,188,198,184,175,171,136,93,80,174,190,184,186,185,174,176,177,179,180,182,186,182,179,203,197,186,169,163,178,184,198,185,173,152,109,63,118,197,185,188,187,187,174,176,178,179,181,180,141,130,127,121,105,91,86,84,85,90,101,94,95,93,74,83,192,190,187,188,188,188,174,177,180,180,184,173,109,110,110,101,88,82,77,69,61,57,40,32,29,25,24,44,122,188,190,188,188,188,175,178,180,181,185,183,118,109,110,98,88,84,80,69,63,55,46,39,33,26,22,20,8,81,200,186,190,190,177,178,180,181,185,189,125,106,106,95,87,84,77,66,58,51,42,34,29,25,21,26,10,117,202,190,191,191,175,178,180,181,183,190,128,108,105,96,94,86,74,63,55,49,42,33,28,24,23,9,79,205,191,193,191,191,175,177,179,181,183,189,130,103,105,94,92,84,71,58,50,47,40,33,28,24,21,22,173,198,192,192,192,192,175,177,179,182,184,189,130,102,101,94,88,79,67,56,50,47,41,34,28,24,12,68,203,190,194,192,192,191
12,172,176,180,183,186,188,190,192,193,193,194,194,194,194,194,194,194,194,193,192,191,190,189,188,188,187,185,183,174,178,182,185,187,189,192,194,195,195,195,195,196,196,195,196,196,195,195,193,193,193,192,191,190,188,187,186,175,178,182,186,188,191,193,195,196,197,197,195,194,198,196,183,187,196,196,196,196,196,195,194,193,192,189,188,176,179,183,187,190,192,194,196,197,198,203,191,167,182,203,178,148,176,186,174,189,197,197,196,194,193,192,191,177,180,184,187,191,194,195,197,199,200,222,219,190,156,172,209,172,130,145,151,144,191,199,198,196,195,194,193,180,183,186,189,193,196,198,199,200,211,222,222,210,163,120,183,184,124,98,144,125,152,200,199,198,197,195,195,181,185,188,192,195,197,200,201,200,221,197,202,210,154,107,160,172,121,86,123,123,108,194,200,199,198,197,196,183,186,190,193,197,200,201,202,202,176,150,195,195,142,98,163,165,115,91,125,115,105,195,202,201,199,198,198,185,188,192,195,199,201,206,223,211,149,109,147,178,151,91,155,185,129,97,144,120,120,201,203,202,201,200,198,187,190,194,197,200,210,227,225,214,160,105,104,174,150,80,152,197,129,106,176,129,149,205,203,203,202,201,200,189,193,197,200,207,228,207,196,216,170,104,69,139,129,59,108,180,119,100,167,133,183,207,205,204,203,201,201,192,195,200,202,220,226,198,171,199,162,104,61,73,80,69,105,130,129,134,142,109,175,210,206,205,205,203,201,194,198,201,206,220,202,171,137,174,158,107,64,64,78,146,196,176,166,148,131,115,133,207,208,207,206,204,202,196,200,204,205,224,204,173,129,147,156,107,69,77,123,184,204,193,169,137,113,118,110,195,210,208,207,206,203,199,202,206,205,226,209,180,142,127,152,129,81,107,171,200,199,191,168,132,110,102,107,199,211,209,208,207,204,202,205,208,213,231,214,190,159,123,136,143,99,165,205,209,201,192,154,126,105,83,139,213,213,210,209,207,206,204,208,209,220,235,221,198,168,140,123,126,145,202,212,215,209,179,137,119,97,89,191,217,214,213,211,209,202,206,209,212,224,233,225,206,176,160,144,135,176,198,209,216,199,159,129,114,85,129,217,218,212,196,173,141,108,208,211,214,221,228,228,212,185,175,160,144,180,187,212,213,182,146,122,106,87,179,195,161,123,88,70,62,54,210,214,217,216,228,229,214,193,186,170,152,186,188,207,200,162,134,112,95,90,117,82,62,51,49,47,49,56,214,216,220,216,223,223,212,196,188,172,159,180,199,189,176,144,121,104,80,55,49,45,45,43,46,42,41,52,216,219,222,220,217,223,212,199,185,172,163,170,189,175,152,131,111,95,60,35,39,48,40,37,45,47,36,41,217,220,223,220,213,225,212,197,183,170,157,159,177,163,139,121,103,81,57,29,31,48,44,32,37,47,42,33,219,221,225,221,216,224,204,187,177,168,152,158,169,153,123,109,88,60,60,39,22,36,48,36,29,39,46,36,222,225,228,222,217,222,192,174,174,165,152,160,159,139,110,92,58,34,50,50,22,22,41,44,29,29,41,42,223,226,228,221,215,229,195,182,186,174,161,160,149,126,103,75,48,24,37,52,31,13,28,42,39,25,33,43,225,227,231,208,203,230,204,201,202,177,160,156,140,118,95,57,45,27,27,42,41,13,16,34,44,32,26,38,226,228,233,178,174,230,217,219,206,170,159,157,137,114,87,54,39,33,18,32,44,19,9,26,43,40,27,29
24,203,206,207,207,208,209,209,209,210,210,211,212,211,212,211,210,211,211,211,210,209,208,207,207,152,85,73,66,207,208,209,210,210,211,212,212,212,212,213,213,213,213,213,213,213,213,213,213,212,211,210,211,146,74,80,81,209,209,211,212,213,214,214,214,214,215,216,215,215,216,215,215,215,215,215,215,214,213,211,217,169,82,89,96,209,211,213,213,214,215,216,216,217,218,217,218,218,218,218,218,219,218,218,217,216,215,213,215,207,102,88,90,211,213,214,216,216,217,219,218,219,219,219,219,219,220,220,220,220,220,219,218,218,218,217,213,220,151,82,80,213,215,216,217,218,218,220,220,220,220,220,221,221,221,221,221,222,222,222,221,220,220,220,217,221,196,88,72,214,216,218,218,218,220,221,221,221,222,222,221,222,223,223,223,224,224,223,223,223,220,221,221,218,223,109,64,215,217,219,219,224,223,221,222,224,224,223,224,225,225,225,224,225,226,224,225,225,223,222,222,220,227,171,152,216,218,219,222,199,219,225,224,225,225,224,225,226,225,226,226,225,226,226,226,225,225,224,224,221,228,176,193,218,219,220,225,171,181,232,223,226,226,226,225,225,226,227,226,227,228,227,226,227,226,225,225,223,227,185,215,219,220,222,223,184,140,223,226,226,226,226,226,227,227,227,227,229,228,229,231,227,228,226,226,225,225,215,194,220,221,223,226,206,138,180,236,225,227,227,228,228,231,229,229,232,236,216,210,232,227,227,227,227,226,231,190,220,222,224,226,218,179,138,220,232,227,229,230,227,220,229,233,203,232,219,156,196,236,228,228,225,218,201,190,221,225,225,225,227,209,153,157,232,230,228,231,234,194,199,240,170,167,232,164,161,238,229,227,228,205,161,142,221,224,225,225,227,220,194,162,181,234,228,233,247,221,187,209,193,152,228,180,165,237,228,231,234,180,138,154,220,223,224,224,225,226,211,188,167,196,230,231,244,247,198,169,218,160,208,193,171,239,223,239,214,139,182,233,221,222,225,225,225,227,222,202,190,204,208,217,211,248,217,157,195,178,197,210,156,200,209,232,174,152,232,225,221,223,225,226,226,227,228,224,225,223,198,189,178,212,228,168,149,185,193,221,146,149,214,205,148,207,232,224,220,222,224,224,225,226,228,230,241,213,189,172,151,160,220,179,127,197,185,232,165,174,212,168,164,235,226,227,226,229,231,231,232,233,234,233,239,238,213,174,157,166,189,195,135,194,195,166,185,203,197,140,188,236,226,227,178,183,184,188,192,196,200,202,205,243,244,222,172,158,181,198,159,166,214,163,237,201,177,148,230,239,233,229,129,130,130,132,132,130,133,134,125,223,254,246,225,167,171,209,201,185,216,231,221,178,165,142,168,165,175,197,139,137,139,140,138,138,138,141,128,186,255,235,244,202,170,181,242,254,255,240,199,170,150,138,159,190,212,231,139,136,136,136,137,139,138,139,137,147,236,233,245,228,189,171,200,251,246,217,191,155,145,225,243,238,235,239,136,136,136,135,136,138,138,138,141,133,181,247,249,236,199,179,180,233,231,203,184,138,171,220,214,230,227,226,135,136,138,135,136,137,137,138,140,138,137,230,234,214,183,168,175,203,210,186,156,134,214,213,189,204,218,218,134,134,136,136,137,138,136,137,138,141,129,199,228,189,183,178,178,191,197,174,138,146,208,225,179,169,196,215,135,135,135,135,137,140,135,135,137,139,130,178,234,209,209,197,187,192,195,165,128,154,202,220,190,159,190,205
7,201,202,203,205,207,207,207,207,208,208,208,208,209,209,209,209,209,208,209,208,207,206,204,202,201,200,198,197,202,204,205,206,208,209,209,210,210,210,209,210,210,210,211,212,211,210,210,210,209,207,206,204,201,201,201,199,204,206,207,209,210,211,211,211,212,213,212,213,213,214,213,213,212,213,213,212,211,210,208,206,205,203,202,201,206,208,209,211,212,213,213,213,213,214,215,215,215,216,215,214,214,214,215,214,212,211,209,208,208,206,204,202,208,210,212,212,213,215,215,215,215,216,216,216,216,216,217,216,216,216,216,215,214,214,212,211,210,208,207,206,210,212,213,214,215,216,216,217,218,217,217,219,218,218,218,218,217,217,217,217,216,214,214,213,211,209,208,206,212,213,213,216,217,218,218,219,220,219,219,220,220,220,220,219,219,219,219,218,218,216,215,215,214,212,210,209,213,215,215,217,219,220,221,221,222,222,222,222,222,222,222,222,222,222,222,220,220,219,217,216,216,215,212,211,214,216,217,219,220,222,225,227,217,201,209,217,219,218,220,221,222,221,220,219,217,218,222,217,216,215,214,213,215,217,219,223,227,229,231,233,223,193,176,192,206,206,209,208,206,208,209,209,207,217,228,208,218,216,215,214,220,225,229,232,232,229,226,224,219,192,162,172,187,196,198,194,191,192,190,196,190,189,184,201,218,217,216,216,233,233,232,229,224,217,209,210,215,196,163,154,162,178,188,195,193,187,188,191,184,184,188,193,212,212,216,217,232,229,223,217,213,208,207,213,220,204,167,155,155,153,157,160,163,168,175,179,178,180,188,184,192,193,217,218,228,219,210,204,201,202,205,213,210,190,165,156,163,166,161,146,149,190,193,190,185,183,185,187,191,209,221,221,226,215,204,199,199,199,197,205,210,189,156,140,153,168,169,161,151,207,231,228,227,226,225,224,225,225,222,222,226,218,210,205,205,204,201,204,214,199,166,151,156,156,155,151,153,216,232,231,231,230,229,228,226,226,225,224,221,218,215,210,207,204,204,207,213,199,172,167,172,165,161,145,187,234,233,233,232,232,231,230,229,228,224,208,210,214,216,214,208,202,199,199,192,181,165,161,166,165,157,164,228,236,234,235,233,233,232,231,231,228,185,144,172,193,210,210,201,194,188,180,169,155,136,112,121,145,147,195,238,236,235,235,234,233,233,233,233,210,141,133,86,112,152,180,177,170,170,174,192,199,147,107,120,143,168,227,237,236,236,235,234,233,233,233,222,172,127,118,59,58,68,88,148,206,221,231,236,239,215,160,173,197,224,238,238,237,236,235,235,234,229,219,170,126,109,93,53,51,50,68,201,237,237,237,237,238,237,232,234,238,238,239,238,238,237,237,231,197,161,140,118,103,92,79,48,46,43,81,226,236,236,238,238,239,239,238,237,238,239,240,240,239,236,210,163,130,124,114,104,92,81,73,49,47,40,74,227,238,237,238,239,239,240,240,240,239,240,240,240,242,212,142,99,94,107,101,95,93,84,71,55,48,31,70,226,238,238,239,239,241,241,242,242,242,242,243,240,210,155,125,93,74,86,92,87,88,89,75,53,38,25,55,185,201,203,205,208,210,212,213,214,216,217,219,203,137,105,121,90,65,68,81,79,81,89,83,40,26,27,57,129,134,135,137,139,142,144,145,147,147,147,156,150,108,91,114,87,60,62,71,73,75,83,86,29,27,30,73,134,134,133,135,134,134,134,135,135,133,137,145,133,98,84,107,82,58,58,66,68,71,78,84
24,133,140,146,150,153,157,159,161,164,167,168,171,173,175,177,178,179,180,181,182,184,186,186,186,186,186,186,186,135,141,147,151,155,158,160,163,165,168,169,174,175,177,178,180,181,182,184,186,187,187,188,187,186,186,187,188,137,143,149,152,156,159,161,164,167,169,172,175,178,179,179,181,182,184,186,187,188,188,188,188,188,189,189,189,138,144,151,155,158,161,162,165,168,170,173,176,179,180,180,183,184,186,187,188,189,189,191,188,191,192,191,192,140,145,152,156,159,161,164,166,170,173,176,177,179,179,181,184,186,187,187,189,191,193,192,191,192,192,192,193,141,147,152,157,160,169,157,168,170,173,175,179,180,181,183,186,187,188,189,190,191,192,192,192,193,194,194,192,141,148,153,155,177,175,121,166,173,175,177,181,182,184,186,187,188,189,191,192,192,193,194,194,195,195,194,196,143,149,155,156,195,148,120,170,173,176,179,181,183,184,187,187,189,191,192,195,197,197,194,195,197,197,196,197,144,152,152,170,197,128,134,176,173,179,183,183,185,189,190,189,190,192,193,184,162,175,198,196,197,197,197,197,144,153,148,191,186,115,150,176,177,174,166,183,182,166,179,194,192,196,169,135,115,123,198,200,199,199,199,199,145,153,154,210,166,145,162,162,196,176,131,160,183,155,134,179,200,185,138,109,110,160,202,199,200,200,200,200,148,151,163,213,167,208,174,152,195,173,121,165,174,157,121,140,214,168,124,109,180,205,199,200,201,201,201,200,148,148,180,210,199,216,182,152,189,163,114,160,164,138,108,172,195,148,110,145,211,198,201,202,203,201,202,203,150,148,192,209,197,234,182,146,183,157,106,97,147,141,148,184,154,125,110,190,203,202,203,204,203,204,204,204,152,148,200,223,193,223,176,134,189,142,123,136,173,179,163,158,145,107,142,210,202,205,205,204,204,204,205,205,150,159,212,210,189,204,161,119,184,190,199,203,182,160,143,132,136,108,180,211,204,205,205,206,206,206,205,206,144,184,192,178,165,181,169,145,210,227,210,194,173,152,130,124,120,121,206,206,206,206,206,207,208,208,207,207,149,214,196,173,156,155,172,216,232,219,209,195,166,142,122,120,106,155,215,206,208,208,208,208,208,208,208,208,171,232,196,178,166,146,172,238,219,208,199,176,154,132,117,114,101,186,213,208,209,210,210,211,209,209,210,210,202,235,197,190,181,191,222,229,211,194,184,162,139,124,116,113,106,195,213,209,210,210,210,211,212,211,211,211,221,236,206,198,189,213,223,209,195,180,172,150,130,120,115,108,124,211,210,211,211,211,211,213,212,212,212,211,225,244,215,200,187,201,210,199,189,168,164,141,125,114,111,100,172,215,209,212,212,212,212,214,214,212,212,213,214,249,219,207,193,196,207,202,183,167,158,134,118,109,93,143,214,210,212,213,213,213,214,214,215,214,214,214,192,241,214,202,201,192,192,197,173,154,145,126,106,96,150,206,209,210,212,213,215,216,215,214,214,215,216,216,179,224,217,205,206,192,176,189,173,150,136,115,90,150,214,208,210,212,213,214,214,216,216,215,216,217,216,217,170,221,218,206,196,191,170,181,168,149,132,98,115,203,206,209,211,213,213,214,215,216,216,217,217,217,218,217,171,228,221,200,183,190,170,171,163,144,131,96,151,213,206,210,212,213,214,216,216,216,217,217,217,218,219,218,177,228,221,192,174,193,167,163,164,142,125,99,158,213,206,211,213,214,215,216,217,217,218,219,218,219,219,220
10,8,51,53,57,64,70,79,90,100,104,108,112,117,122,125,127,132,132,135,136,136,136,136,138,139,138,136,135,15,53,54,59,65,71,81,92,101,106,111,115,121,125,128,131,133,146,133,138,140,139,139,139,139,139,139,138,21,55,54,60,66,71,83,95,104,110,114,120,126,129,132,131,142,184,111,124,146,141,143,142,141,141,141,139,28,55,56,61,66,72,85,98,107,112,118,124,128,131,135,134,149,182,122,104,152,144,146,145,145,144,144,142,34,56,58,63,67,73,87,101,111,112,118,126,131,136,139,139,146,184,150,98,150,148,148,148,147,147,146,144,40,56,59,63,68,75,90,103,110,131,127,124,137,139,141,143,144,193,180,99,144,154,151,150,149,149,148,147,46,57,60,63,69,77,91,104,114,187,125,76,126,143,145,148,146,189,181,105,133,160,154,153,153,153,151,150,50,56,60,64,70,79,93,106,115,151,109,72,67,155,128,117,154,183,191,112,118,165,156,157,155,156,154,153,52,55,60,65,72,79,94,109,118,124,117,90,75,148,94,89,157,187,201,119,102,168,159,160,158,158,157,156,55,58,60,66,72,80,96,110,121,126,131,122,116,160,91,44,148,184,166,109,78,165,163,163,162,160,160,159,57,59,62,66,71,81,98,112,123,128,132,148,131,163,107,43,107,169,105,83,61,156,167,164,165,164,162,161,59,59,62,67,71,82,100,115,125,129,134,144,137,166,132,96,63,91,75,79,56,147,173,167,168,166,164,164,60,60,62,67,71,83,101,116,127,131,135,148,161,126,155,143,113,53,46,67,56,123,181,170,171,169,168,166,61,61,62,66,72,84,102,116,129,133,133,171,177,100,109,186,152,117,67,55,50,84,183,172,174,172,171,170,61,61,62,67,73,85,103,118,131,134,142,165,189,145,53,143,187,148,118,50,38,60,180,177,177,175,174,171,61,61,62,68,72,85,105,120,129,144,193,132,168,135,68,127,203,163,130,56,30,61,180,180,178,178,176,175,62,60,63,68,72,87,106,122,128,153,213,138,111,151,106,188,189,152,129,70,38,37,161,188,180,181,179,178,62,61,63,68,72,88,107,123,133,140,188,160,95,184,166,204,192,147,122,78,46,30,157,192,183,183,180,180,62,62,63,68,72,88,108,123,136,134,168,164,104,187,128,177,195,158,110,74,52,37,167,191,185,186,184,181,62,61,63,68,72,89,109,126,136,136,164,184,149,147,67,195,191,145,105,71,55,46,177,192,187,188,187,184,63,62,62,67,71,91,109,125,137,142,143,199,199,136,108,212,181,139,101,67,57,52,184,193,189,188,187,185,62,62,63,67,72,90,109,127,138,142,146,174,219,206,185,203,169,129,94,69,60,61,192,193,191,190,188,187,63,61,62,66,71,90,110,126,138,142,149,163,215,212,184,170,151,117,92,78,57,81,202,192,193,192,190,188,63,60,60,64,71,90,109,125,136,140,149,151,143,204,159,132,145,129,110,96,54,103,204,190,193,192,190,188,61,58,59,62,69,89,109,126,135,139,154,139,18,185,140,151,159,157,145,113,46,104,204,191,193,193,191,189,60,56,57,61,67,88,108,125,137,138,157,129,0,147,196,172,143,150,136,87,28,22,198,196,195,193,192,190,55,52,54,58,64,85,106,124,135,138,157,102,0,76,156,138,113,115,86,30,0,55,209,193,195,193,192,190,62,57,58,58,65,85,104,122,132,138,151,82,0,31,31,23,14,15,2,0,0,107,210,190,193,193,192,191
21,171,174,177,178,178,180,181,181,181,181,181,174,178,181,177,175,173,172,171,170,168,164,162,161,161,159,157,154,173,177,179,180,180,182,182,183,183,183,188,154,120,181,180,178,176,175,173,174,171,168,165,166,162,162,159,157,173,177,181,181,183,184,185,186,186,185,186,165,101,138,191,178,180,179,176,176,174,172,166,149,165,164,161,159,175,178,181,183,185,186,187,189,188,188,188,176,128,87,184,183,181,181,179,178,176,175,164,93,130,173,163,162,177,180,183,185,187,188,189,191,190,190,191,186,148,73,156,193,182,183,182,181,176,177,153,80,122,177,164,164,179,183,186,187,188,189,190,191,191,193,193,191,170,102,120,198,185,186,184,183,179,178,141,74,142,176,167,166,181,185,188,188,190,191,192,192,192,196,195,195,185,123,92,190,189,188,185,185,183,172,119,76,165,173,168,166,183,187,189,190,192,194,195,195,194,196,197,196,197,136,76,171,194,187,187,186,185,166,107,95,181,171,172,169,185,189,191,191,193,196,197,197,197,199,198,197,198,157,87,145,200,188,189,187,176,146,84,124,185,173,174,171,186,190,192,194,194,195,196,198,198,200,200,198,191,178,116,118,203,188,190,188,165,125,63,159,183,175,173,171,187,189,192,195,195,196,197,198,199,201,203,200,196,192,151,101,178,202,193,191,168,107,83,186,178,179,176,173,188,190,193,196,197,198,199,200,201,202,204,203,199,199,190,137,116,166,181,169,148,84,130,192,178,179,178,175,189,191,194,197,199,200,201,203,203,204,204,204,199,139,143,157,111,109,112,123,92,65,169,188,181,181,179,178,190,192,195,198,200,201,202,204,205,205,205,206,195,125,84,132,127,120,127,131,61,85,197,184,183,182,181,179,190,193,196,198,199,201,204,205,205,205,206,207,174,156,105,103,129,107,114,112,64,94,200,185,185,183,182,179,191,195,198,199,201,204,206,206,207,206,208,180,124,152,119,84,109,58,98,136,86,61,186,189,185,185,183,180,192,196,198,201,204,205,207,208,208,207,206,177,117,126,121,58,74,45,80,145,109,53,131,199,184,185,184,181,194,197,200,203,205,206,207,208,208,208,205,183,123,102,101,42,73,75,142,157,141,71,71,195,185,185,184,182,194,198,201,204,205,207,208,208,212,210,199,164,124,90,82,42,77,127,183,161,131,70,67,193,187,187,184,183,195,198,202,205,206,208,209,211,211,210,197,179,156,105,66,53,104,182,168,142,112,50,85,201,187,188,186,183,196,198,201,204,207,208,209,210,210,212,197,184,163,118,92,91,171,191,154,122,107,43,114,204,187,189,187,183,197,199,203,205,207,208,210,212,212,214,195,180,163,128,91,96,176,174,153,124,102,45,140,204,188,188,186,184,196,200,203,205,207,208,210,212,212,214,194,166,155,126,94,96,164,169,143,116,86,43,164,200,190,189,187,185,196,200,205,206,208,210,210,212,213,215,198,163,159,135,109,97,155,160,134,101,63,52,192,195,192,190,188,186,197,199,204,207,208,210,211,213,213,214,210,175,160,140,115,85,132,134,107,83,34,89,208,191,192,190,187,186,195,197,200,204,205,208,209,211,211,211,212,190,172,146,112,88,105,114,90,69,23,144,204,190,191,188,186,185,195,198,201,203,206,209,209,210,211,212,211,196,173,145,115,101,96,106,104,51,60,198,193,191,189,187,186,185,196,199,201,205,207,209,210,211,211,211,209,197,178,149,133,126,107,109,97,36,130,208,192,192,189,188,186,183
23,185,185,186,186,187,187,187,187,187,188,188,188,188,188,188,188,188,188,187,188,187,186,186,185,185,184,183,181,187,188,188,189,189,190,190,191,191,191,192,191,191,191,190,190,191,191,190,190,189,188,188,187,187,186,185,183,190,191,192,193,193,193,194,194,195,195,193,193,193,193,192,196,196,193,193,192,192,192,190,190,189,188,188,187,194,194,195,196,195,195,197,198,197,196,202,195,197,200,197,173,189,202,195,195,195,194,192,193,192,191,191,190,197,197,197,199,198,198,200,201,198,203,227,206,198,212,201,174,148,187,204,198,198,197,196,195,194,193,193,192,200,200,200,201,202,201,202,204,200,219,219,193,144,159,151,171,172,158,176,203,200,199,199,198,198,197,196,194,202,202,203,204,203,204,205,205,206,226,211,182,132,185,191,178,156,141,150,206,202,201,202,201,200,199,198,197,204,205,205,205,206,207,207,205,215,214,214,166,177,215,180,204,199,189,202,208,205,204,204,204,203,202,201,200,206,207,207,208,209,209,211,209,217,211,214,219,224,205,143,175,224,211,210,209,209,208,205,205,205,204,203,203,208,210,210,210,211,206,196,201,204,211,213,211,207,199,143,132,197,213,210,211,210,210,209,208,206,205,205,205,211,212,211,213,210,193,172,180,188,190,187,187,182,171,143,97,108,193,218,211,212,210,210,211,210,208,207,206,212,213,213,212,215,208,205,196,200,194,184,179,164,122,116,99,91,174,224,213,215,213,212,212,212,211,210,209,213,214,215,212,212,216,214,207,189,152,149,155,152,112,114,98,103,206,219,215,216,216,215,215,213,212,211,210,215,216,217,215,203,205,219,206,151,129,95,134,163,113,115,98,134,227,218,219,218,217,217,216,216,215,213,212,217,217,220,218,203,199,224,203,139,101,87,156,167,118,111,85,149,231,218,221,220,218,218,218,217,217,214,213,218,218,220,220,203,197,225,208,159,106,106,147,124,110,100,89,134,229,220,221,221,221,220,220,219,218,217,216,221,221,222,222,201,199,233,212,160,124,89,84,81,88,94,101,129,227,222,222,222,222,221,221,220,219,218,218,221,221,223,220,195,210,236,211,163,136,98,79,92,97,104,105,146,232,223,223,224,223,223,221,221,221,221,220,222,223,225,220,197,213,228,212,169,140,121,105,117,116,117,108,156,236,223,225,224,224,223,222,222,222,222,221,224,226,226,226,200,205,215,199,161,141,132,111,122,122,121,109,176,237,225,227,226,225,225,224,223,222,222,221,226,227,228,228,204,198,201,187,166,162,137,115,122,121,121,114,210,235,227,227,228,227,227,226,225,223,223,222,227,227,228,230,209,201,201,186,171,162,134,119,122,128,114,144,237,230,230,228,229,229,228,227,226,225,224,222,227,228,229,231,213,212,200,184,164,146,128,121,124,125,119,212,237,230,231,230,229,229,228,227,227,226,225,224,228,228,230,228,217,223,205,189,173,147,125,119,120,121,203,240,232,232,232,232,232,230,229,228,228,227,227,226,228,228,232,227,218,223,203,192,178,141,118,119,109,182,246,233,235,233,234,233,233,232,231,230,229,228,227,226,228,230,234,228,217,206,193,182,162,123,113,114,122,229,236,235,235,234,234,234,233,233,232,231,231,229,228,227,230,231,233,225,217,195,183,179,172,121,117,112,150,241,235,237,235,234,235,235,234,234,234,233,232,231,229,229,230,231,232,223,226,197,181,192,193,126,120,112,163,248,235,237,236,236,236,235,235,235,234,233,232,233,230,223
16,110,120,127,132,137,143,148,154,158,161,164,168,172,175,178,181,182,183,185,186,187,188,188,189,190,190,190,190,114,124,130,134,139,146,152,158,161,164,167,172,175,178,181,184,186,186,189,190,190,192,192,193,193,192,193,193,117,127,133,137,142,149,155,161,164,167,171,175,179,182,185,187,188,186,182,179,182,187,193,196,196,196,197,197,119,129,134,139,146,152,158,163,167,171,174,177,180,184,186,183,173,164,152,137,131,132,150,181,198,199,200,200,122,132,137,141,147,154,161,167,170,174,178,180,180,177,168,159,153,154,143,125,115,107,95,111,169,199,202,203,124,133,138,144,150,157,164,169,173,175,173,165,160,155,152,151,145,139,129,110,106,105,86,79,105,186,206,206,125,135,140,144,152,160,166,171,183,176,162,141,145,147,152,140,132,131,114,94,92,92,82,78,80,155,207,208,128,137,142,147,155,162,168,182,201,187,184,143,155,168,153,126,128,117,101,88,85,82,79,79,78,137,207,210,130,138,144,149,157,164,171,185,185,187,183,155,182,180,127,117,112,94,89,82,78,77,80,81,80,151,210,213,133,142,146,152,160,166,173,172,178,192,174,167,198,177,127,113,96,82,79,78,76,75,78,81,89,177,214,215,136,144,149,154,161,167,174,174,184,198,183,179,196,165,145,125,98,78,74,76,77,76,77,78,113,200,216,217,137,146,150,155,163,170,177,180,183,196,192,181,193,173,150,121,95,77,71,74,78,79,77,78,144,212,220,220,138,147,151,157,165,174,179,183,181,196,194,191,188,166,130,99,81,69,72,77,80,80,77,84,174,219,220,221,141,148,151,158,167,175,181,186,185,196,198,194,172,140,102,75,57,56,74,84,81,80,78,94,197,221,221,222,143,150,154,160,168,176,183,187,190,196,198,182,147,111,74,38,25,57,79,88,83,80,75,109,212,223,223,224,146,153,156,163,171,178,184,189,192,190,183,155,120,90,37,9,18,57,82,95,93,83,71,125,220,223,223,223,147,153,158,165,173,179,185,190,194,181,162,129,102,68,18,10,17,46,78,98,100,83,70,142,226,226,225,225,148,155,159,166,175,180,187,192,196,181,143,108,85,55,29,19,30,37,71,104,102,81,74,154,228,227,227,227,151,155,160,167,176,182,189,193,198,177,123,85,70,65,59,45,46,56,83,111,95,82,76,164,230,229,229,229,153,157,161,169,177,183,190,194,197,168,108,103,86,68,69,64,66,97,103,115,90,82,78,177,233,230,230,231,154,158,162,170,179,185,190,196,187,143,98,187,193,139,108,89,112,118,116,113,85,80,78,182,233,230,231,231,154,157,163,171,178,185,188,185,162,106,139,212,213,203,180,148,127,124,132,114,81,77,74,174,235,233,233,233,154,157,163,171,179,185,185,171,126,104,194,213,212,201,180,151,125,138,144,118,80,74,72,150,230,228,225,225,154,158,163,171,180,193,190,148,97,164,212,213,210,199,175,151,125,148,151,121,81,73,75,90,124,115,142,177,154,158,164,171,189,207,162,103,138,201,209,212,208,197,172,149,125,146,158,128,76,75,76,64,52,57,107,128,155,158,163,171,201,168,119,149,198,205,209,210,205,194,173,150,124,129,158,141,81,75,75,65,44,72,75,72,155,159,165,173,183,159,174,198,202,206,210,211,203,192,172,149,124,113,147,150,94,75,72,56,21,54,68,63,155,159,166,175,182,189,195,198,202,206,209,212,200,190,173,145,119,109,119,142,108,78,72,47,15,40,68,56
0,177,179,181,182,183,185,184,183,183,183,183,182,183,181,181,181,179,179,179,179,177,176,176,173,174,172,171,170,179,180,182,184,185,187,187,186,185,185,185,184,185,183,183,182,180,179,179,180,179,177,177,175,175,173,172,172,180,181,182,185,186,187,187,187,187,186,186,186,187,185,183,181,180,183,182,180,179,178,178,175,175,175,173,174,182,182,185,185,187,189,189,189,188,187,187,186,184,187,184,200,180,155,178,184,181,182,179,178,176,176,174,174,182,184,185,187,187,189,189,190,191,191,188,186,197,182,184,228,188,147,120,165,152,163,184,175,178,176,176,174,184,186,187,188,188,189,189,192,191,189,186,202,222,192,188,231,193,149,115,178,150,110,144,119,156,183,177,176,185,187,189,189,191,191,192,190,193,204,171,213,222,196,186,236,205,136,167,205,144,85,110,93,152,185,178,178,186,189,192,191,193,194,196,187,214,239,190,209,232,194,168,230,211,137,137,181,129,81,117,96,168,183,178,178,189,190,192,194,193,194,194,191,223,255,220,182,241,201,144,194,189,132,97,153,108,106,148,95,163,184,178,180,190,192,192,193,194,196,192,203,212,241,235,162,213,187,121,149,171,128,94,150,102,149,170,98,147,189,179,181,192,194,194,194,194,197,192,211,203,204,201,142,178,168,106,100,175,121,89,160,111,184,178,103,150,190,181,182,192,194,195,196,196,198,191,222,221,191,184,123,151,170,102,78,182,132,92,100,161,206,163,96,163,190,182,182,192,195,195,195,197,197,200,231,190,152,178,141,119,187,113,86,166,188,188,124,174,197,141,95,178,187,185,183,194,196,196,197,197,196,209,240,203,158,140,149,118,170,125,143,204,213,194,170,139,160,129,106,189,186,186,183,194,197,198,199,200,198,212,243,209,176,149,141,179,185,201,216,212,198,173,156,140,119,114,110,191,186,186,184,196,198,201,201,203,197,223,250,215,196,181,164,187,219,227,228,213,192,168,148,132,109,94,117,194,186,186,186,196,199,201,202,203,198,232,249,222,209,191,175,201,231,238,240,215,187,168,143,121,102,89,163,195,189,189,187,198,201,201,202,205,199,234,244,223,204,187,179,206,233,242,239,216,186,159,133,112,91,117,197,191,189,188,188,197,199,201,201,205,199,231,246,225,205,185,175,201,227,231,222,208,180,148,120,102,90,170,196,190,189,189,187,196,198,202,202,204,199,216,242,221,204,192,180,204,218,211,197,177,157,137,113,94,156,198,191,191,191,189,187,196,199,202,202,205,200,213,229,207,209,201,182,201,211,197,172,150,142,122,103,161,200,193,193,193,191,189,187,201,201,204,204,206,203,214,229,210,211,197,182,195,208,186,152,132,125,102,161,202,195,196,194,192,191,190,188,200,201,202,204,206,203,220,245,227,203,187,185,183,195,166,129,120,100,152,204,197,196,197,196,193,193,191,188,200,201,203,201,214,197,194,255,236,202,188,189,171,180,146,117,100,132,204,198,199,197,196,195,195,194,195,189,198,201,204,199,223,255,178,204,226,195,190,180,165,169,126,99,88,180,203,196,197,197,194,195,194,190,175,165,202,204,208,201,229,255,251,139,239,224,210,197,175,164,129,99,93,191,204,205,201,191,198,201,180,156,162,155,150,152,150,142,247,255,255,146,150,241,221,205,179,159,138,126,112,127,139,131,135,184,206,193,172,116,184,168,100,101,87,132,255,255,255,169,98,233,210,191,168,150,132,119,115,106,85,104,184,216,194,169,182,105,154,185
10,172,173,173,174,174,176,177,177,176,177,177,176,175,176,174,173,172,172,170,169,166,177,167,130,162,160,159,157,176,176,177,179,179,179,181,181,180,181,180,180,180,179,178,178,176,174,174,174,167,187,178,108,157,164,160,159,181,181,182,183,184,184,185,185,186,186,184,184,185,184,183,182,181,179,178,178,172,191,180,110,151,170,163,162,185,187,187,188,189,189,189,190,190,189,189,188,189,188,187,186,184,183,181,181,176,194,169,104,150,176,167,166,189,191,191,192,193,192,193,193,194,194,193,195,194,192,191,190,189,188,185,185,181,197,174,107,150,179,170,170,193,194,195,196,197,197,197,197,199,198,197,198,199,198,196,195,193,191,189,189,185,205,179,113,155,183,174,173,196,198,198,199,199,200,201,201,201,201,200,201,202,201,199,199,196,195,193,191,191,212,171,155,158,184,178,176,200,201,201,202,202,203,204,205,204,204,204,205,205,204,202,202,200,199,198,197,198,206,188,177,111,187,182,179,201,204,205,205,206,206,207,207,206,206,207,206,207,207,206,205,204,203,200,196,172,163,195,177,92,170,191,182,205,206,207,208,209,208,209,210,209,209,208,209,210,210,210,208,206,207,207,210,198,165,147,161,115,104,195,186,208,208,210,211,212,212,212,213,213,212,213,213,213,213,213,212,210,199,181,196,214,186,154,121,125,88,142,198,212,212,213,214,214,214,215,214,215,215,215,215,215,215,212,209,216,189,153,121,143,199,197,161,103,99,106,199,214,214,215,216,216,216,217,217,217,217,217,218,216,217,196,155,173,212,183,134,53,139,193,130,90,83,115,202,216,216,217,218,218,218,219,219,219,219,219,219,217,215,205,178,138,199,208,160,84,59,88,133,117,81,124,208,217,218,218,219,219,220,220,220,220,220,221,221,219,207,206,207,167,156,216,170,120,69,70,169,162,89,130,210,219,219,220,221,222,222,221,222,222,222,223,221,219,191,163,198,181,117,175,183,123,77,97,165,180,102,125,211,220,221,222,223,224,223,224,225,225,225,225,222,219,204,143,140,166,89,120,188,123,84,108,161,170,98,120,212,221,222,224,225,225,225,225,226,226,226,226,225,211,192,164,126,144,115,100,179,173,115,112,163,131,83,141,215,222,225,225,225,226,226,226,227,227,227,227,224,216,222,197,142,134,141,107,157,195,138,101,143,110,77,181,213,224,226,225,226,227,227,228,228,228,228,229,228,215,226,206,170,143,135,130,185,182,118,97,127,101,94,210,208,225,226,227,228,228,229,229,228,230,231,232,232,217,221,216,185,154,146,163,222,211,168,132,125,91,125,221,207,226,227,228,229,229,230,231,231,231,232,233,234,220,207,210,193,169,158,166,215,212,187,149,123,81,160,222,208,224,225,227,228,228,227,228,230,232,232,232,234,225,203,208,199,190,173,167,209,204,171,134,110,85,197,218,212,225,225,227,227,228,228,228,230,232,232,233,232,233,206,195,205,200,176,156,193,181,154,123,87,113,221,210,211,226,226,227,229,230,231,232,232,233,233,233,232,235,222,188,195,190,173,149,165,165,137,110,71,167,224,210,210,227,228,228,229,230,231,232,231,231,232,233,233,232,233,205,193,182,167,149,149,165,137,93,102,218,216,213,210,225,228,230,233,234,236,237,236,238,239,239,239,240,234,214,196,180,174,163,148,160,132,79,160,228,213,215,217,151,153,158,162,166,171,176,181,184,189,192,197,204,202,207,201,183,189,170,153,154,120,80,185,220,212,207,167
2,174,177,180,182,182,183,184,185,185,184,184,185,183,183,184,183,182,182,182,180,177,175,173,172,171,169,168,166,177,179,181,182,183,185,186,187,186,187,187,186,187,187,186,184,182,177,169,175,182,178,176,174,171,170,169,167,179,180,183,183,184,185,186,188,187,188,188,175,153,153,159,157,146,138,123,104,137,172,179,177,174,172,170,169,180,182,185,186,186,187,188,188,188,190,188,167,144,142,147,148,139,126,116,91,78,110,138,158,177,174,173,171,180,184,185,186,188,188,190,190,191,192,177,157,157,156,156,152,141,116,97,99,103,101,106,115,177,174,173,171,181,183,185,187,189,190,190,190,192,187,159,150,163,164,154,145,140,115,105,111,125,121,95,105,178,176,173,172,182,184,186,188,189,189,190,191,193,184,166,159,152,139,128,148,153,96,81,98,107,101,94,150,181,177,174,173,184,185,188,189,190,191,192,192,193,184,162,161,153,138,128,124,105,116,164,144,123,131,174,184,179,178,176,174,184,187,187,189,191,192,194,194,192,183,179,166,145,123,101,98,119,178,194,192,190,187,184,184,183,182,179,175,185,187,187,190,193,194,194,192,174,173,168,148,113,65,120,186,194,193,190,188,188,187,188,169,134,120,156,178,185,187,189,190,192,193,195,189,167,163,145,116,68,38,123,202,195,194,192,189,188,189,169,112,81,75,103,179,185,188,190,192,193,194,193,183,159,146,114,70,50,51,117,201,194,195,192,190,192,173,120,89,80,76,99,181,186,189,190,192,194,195,190,183,166,137,80,48,55,55,129,202,194,194,192,194,178,122,94,91,81,69,141,182,187,189,191,192,194,195,189,184,165,135,81,50,58,55,113,205,196,195,196,192,129,80,77,82,72,98,182,179,187,189,193,194,195,195,191,183,162,129,76,54,60,56,58,154,196,200,192,146,95,66,66,71,73,164,184,179,188,190,192,195,195,195,188,182,161,120,72,66,62,57,57,62,104,157,123,90,82,81,67,71,152,187,182,181,188,190,193,195,196,195,188,183,159,119,85,74,61,60,63,66,68,75,69,69,78,77,76,159,190,187,183,181,188,190,193,195,197,195,187,179,160,127,92,73,60,60,61,68,73,76,71,73,79,72,156,192,188,186,184,181,187,190,193,195,196,195,181,173,159,126,97,77,59,59,61,67,73,79,78,69,63,130,197,189,187,186,184,181,187,190,193,195,197,194,179,170,155,125,104,77,57,59,64,68,74,81,84,69,84,186,193,189,187,186,184,182,188,190,194,195,197,193,179,170,151,128,102,77,59,58,64,70,75,80,80,66,161,197,192,190,188,186,185,183,188,191,194,195,197,191,175,176,162,129,101,82,59,57,66,72,78,81,71,86,196,195,193,191,189,187,186,184,188,190,193,195,198,187,175,184,166,127,100,82,62,56,68,74,79,79,57,146,200,193,192,190,189,186,185,183,186,188,191,193,195,184,177,184,159,123,99,85,65,54,69,76,76,62,89,194,194,192,190,188,187,185,183,183,185,187,189,192,194,180,178,177,152,117,97,86,67,55,68,73,65,64,170,197,192,191,189,188,187,185,182,181,185,187,189,191,194,179,175,169,143,115,99,86,69,56,65,67,57,148,198,193,192,190,188,187,186,184,182,180,185,186,188,191,192,177,171,157,132,111,96,82,66,57,59,63,141,200,194,193,191,190,188,188,186,183,182,180,183,185,188,190,190,175,161,149,127,105,93,80,67,55,68,164,199,195,194,192,190,188,186,185,184,182,181,179
2,112,125,132,133,137,142,147,151,155,158,159,157,161,167,170,167,174,177,179,176,177,179,179,179,179,180,180,181,115,127,133,134,140,145,148,153,155,154,159,183,201,199,184,181,183,153,128,176,175,174,181,178,179,179,179,179,116,127,134,137,142,148,152,152,164,184,197,184,156,137,100,99,122,96,63,107,116,97,164,182,178,179,179,178,118,128,134,138,144,151,150,166,220,208,152,110,91,89,73,68,72,71,74,78,67,68,162,184,178,178,178,178,120,131,136,139,147,149,171,223,199,135,72,57,63,63,62,65,61,54,75,92,107,163,183,178,178,178,178,177,122,133,138,143,150,154,221,207,114,75,59,44,62,52,50,56,62,97,162,181,186,184,181,181,181,181,180,179,126,135,140,147,150,170,235,167,80,59,55,57,66,51,64,60,152,193,186,185,184,184,184,185,182,181,182,181,128,138,142,150,150,184,233,147,80,57,48,59,55,60,61,94,200,189,188,190,189,190,190,186,191,162,178,185,131,141,145,152,151,206,223,119,61,49,51,49,44,58,52,156,201,193,194,193,195,196,189,194,196,130,179,192,135,144,147,155,154,227,210,119,80,67,65,51,53,53,93,205,197,198,198,198,198,198,196,208,161,112,196,193,139,147,151,154,168,245,205,132,92,76,63,56,74,58,138,213,199,202,202,201,202,198,198,196,124,132,209,196,142,149,155,155,198,253,199,133,87,75,57,59,70,56,170,212,203,206,207,205,208,192,184,177,96,142,214,199,146,152,156,159,209,250,194,128,85,73,57,58,62,58,180,218,207,209,208,210,206,178,185,152,83,131,218,203,148,154,159,161,209,250,189,122,86,69,58,53,65,70,126,206,203,214,219,216,190,190,185,138,77,164,218,207,149,156,162,162,205,250,189,133,94,72,58,56,75,95,89,114,136,141,177,180,184,192,182,116,122,222,211,213,152,158,165,164,209,248,190,137,97,76,58,62,93,106,105,122,142,144,127,158,190,182,146,101,208,220,215,215,155,160,167,168,220,247,190,142,105,80,57,71,101,98,106,130,150,162,159,146,174,163,96,171,229,218,220,218,158,162,169,171,227,241,189,147,115,85,61,78,99,100,129,148,159,149,146,132,135,109,129,234,220,223,223,221,161,165,174,174,226,233,189,152,122,88,67,82,104,119,150,154,149,136,121,113,98,81,213,230,224,225,225,224,164,168,175,179,227,226,186,157,131,91,73,85,107,126,142,147,135,122,109,91,75,176,238,225,227,227,227,225,166,169,178,181,219,215,182,166,140,95,85,88,105,127,131,136,128,113,92,98,199,240,229,232,229,230,230,229,169,171,181,182,211,209,188,177,144,103,94,88,108,123,128,129,121,94,111,226,242,231,233,233,233,233,233,233,171,175,183,185,213,209,195,176,138,107,101,90,115,119,120,120,96,96,221,242,231,234,234,235,235,234,234,234,174,177,185,192,223,212,192,166,135,116,107,90,109,110,105,89,100,211,243,234,237,236,235,236,236,235,235,234,177,179,186,199,234,213,199,169,136,116,104,92,101,107,76,128,227,244,236,239,239,239,238,237,237,235,236,241,178,182,187,207,236,214,208,169,131,110,99,91,101,79,124,241,242,236,240,240,240,240,239,238,241,250,246,219,179,183,189,210,224,206,192,155,113,97,91,94,88,104,229,239,240,241,241,241,241,241,243,248,233,182,117,71,182,186,192,208,210,199,190,156,107,97,99,104,77,171,244,238,242,243,243,242,242,245,224,156,93,52,43,45
7,178,178,180,181,181,182,181,181,181,181,180,179,179,178,178,176,175,174,172,172,172,171,170,171,139,57,43,52,179,180,181,183,183,183,183,183,182,182,181,180,180,179,179,177,176,175,172,170,171,169,170,172,158,123,106,98,181,182,184,186,186,186,186,185,185,185,183,181,182,174,161,168,172,168,157,156,153,156,176,162,140,105,157,157,183,185,186,187,187,187,187,186,186,185,186,187,187,176,157,161,174,170,154,148,144,147,172,146,134,126,174,137,185,186,187,188,188,188,187,188,192,196,201,201,194,174,162,164,153,141,142,133,131,121,123,136,148,133,129,113,186,187,189,190,191,191,184,188,199,206,205,198,190,182,178,172,149,123,141,149,139,132,123,122,111,127,127,150,188,189,191,191,203,205,192,187,192,196,193,190,188,186,184,169,149,134,140,145,137,135,127,112,97,118,122,135,189,190,192,197,219,212,199,186,187,193,193,191,189,184,180,165,145,133,122,116,110,110,104,98,94,99,115,160,191,192,193,209,223,212,190,171,175,186,189,185,177,164,150,134,119,122,123,124,129,137,139,139,147,156,161,158,193,194,195,220,220,208,180,165,174,171,163,156,144,135,126,115,112,130,180,184,184,185,184,183,181,179,178,151,194,193,207,225,218,205,189,181,172,159,159,162,159,152,146,143,143,103,114,173,188,187,186,184,181,179,178,175,194,196,222,225,220,216,213,198,169,164,167,165,160,147,142,138,130,98,53,108,189,188,187,185,183,181,179,179,193,206,227,226,223,222,220,198,157,153,157,151,145,138,134,126,115,92,55,87,186,189,188,187,185,183,181,179,199,223,228,227,224,220,212,187,158,147,128,112,110,124,134,139,143,119,74,136,189,189,189,188,187,186,183,180,216,229,228,226,223,214,203,185,167,151,132,123,138,163,162,149,149,133,131,191,191,190,189,189,187,186,184,181,226,229,229,226,218,208,195,176,162,165,152,145,158,159,149,139,132,109,136,197,193,192,190,189,188,187,185,183,229,229,227,223,213,197,175,168,179,182,161,151,151,142,135,126,113,88,152,197,196,194,192,190,190,188,186,184,229,227,224,218,205,187,184,191,196,186,165,141,124,114,101,89,89,120,187,197,197,196,194,191,189,188,186,184,227,223,215,208,200,196,197,194,189,173,147,119,99,127,110,123,162,191,199,199,197,196,194,193,190,188,187,186,220,215,207,204,201,203,195,180,174,161,137,111,138,194,197,200,203,201,201,198,196,195,195,194,191,190,188,186,210,204,205,202,197,194,186,174,168,144,111,137,198,205,204,204,203,202,202,199,198,196,196,195,193,191,189,187,202,195,197,194,186,180,174,164,141,109,125,196,206,205,204,203,203,202,201,199,199,198,197,195,193,192,189,184,199,194,188,180,169,164,155,136,106,118,190,207,204,204,203,203,202,202,200,199,198,197,196,194,192,190,184,175,195,186,175,160,147,140,123,100,121,188,208,208,206,206,204,203,202,202,200,199,199,198,196,194,194,161,107,135,176,163,148,131,119,104,93,129,193,209,208,208,207,207,205,203,203,202,201,200,199,198,197,193,167,91,45,47,154,142,131,119,103,110,155,202,209,209,208,208,207,207,205,204,204,203,201,200,201,197,175,127,74,47,37,34,149,144,125,103,106,192,210,209,208,208,208,208,207,207,206,204,204,203,202,190,163,122,76,51,42,42,39,36,165,153,125,94,116,209,210,209,208,207,208,208,207,207,205,203,198,187,151,102,62,40,38,38,35,36,36,36
13,176,177,178,179,180,181,182,182,181,181,181,181,182,181,180,179,178,178,176,176,175,174,173,172,171,171,170,169,178,179,180,181,182,183,184,185,184,183,182,182,183,182,182,180,179,178,178,178,176,175,174,173,172,171,171,170,180,181,182,182,184,185,185,186,186,185,184,184,184,183,183,182,181,180,180,180,178,177,176,175,174,173,172,172,181,183,184,185,186,187,186,186,186,186,186,185,185,185,185,184,182,183,183,181,180,179,178,178,177,176,174,173,182,184,185,186,187,188,188,187,187,187,188,187,187,187,186,183,167,156,175,181,179,182,180,179,178,179,177,175,184,186,188,188,189,189,190,190,189,189,190,190,184,183,188,179,140,96,108,167,148,140,171,181,179,180,179,177,186,187,189,189,191,192,192,194,181,161,184,191,160,140,176,169,133,91,69,127,125,87,112,179,181,180,180,178,187,188,191,192,192,193,199,204,178,126,136,181,153,117,161,173,132,99,67,115,120,93,75,155,185,181,180,179,189,190,193,194,194,194,220,212,179,132,131,176,146,119,178,198,143,101,80,141,131,99,63,145,186,183,182,181,191,192,194,194,195,199,227,215,183,134,139,179,142,116,197,203,136,96,110,166,128,86,66,156,187,185,183,182,192,194,195,195,196,216,225,202,180,126,135,176,144,101,144,166,112,85,94,119,92,64,74,173,188,186,185,185,193,195,197,196,207,224,202,172,141,100,128,168,136,91,54,80,103,97,92,94,92,71,99,187,189,188,187,186,195,196,197,197,221,224,188,143,107,78,119,137,114,73,35,51,89,91,110,127,127,102,114,191,190,190,189,187,196,197,198,201,235,233,208,167,127,76,101,114,99,96,118,150,159,152,153,141,145,125,99,178,193,192,190,189,197,198,199,210,240,231,214,195,163,113,112,146,166,190,197,193,185,174,163,131,120,110,88,151,196,194,193,191,199,200,200,216,240,230,217,202,174,157,162,193,207,204,198,189,181,167,151,131,110,106,90,127,197,195,194,192,201,201,200,219,238,230,218,203,182,178,189,203,212,202,194,188,177,160,143,130,113,103,86,112,197,196,194,193,201,200,201,219,236,228,217,201,184,180,191,201,211,202,194,186,168,148,135,121,103,92,75,135,198,196,194,194,201,202,203,215,232,225,212,191,175,174,185,194,199,195,188,174,154,138,123,106,88,68,109,190,198,197,196,195,201,204,206,211,221,214,195,175,166,178,186,188,182,183,177,160,144,125,105,85,65,82,179,201,199,198,197,196,206,179,142,189,210,202,189,180,174,183,189,180,169,162,155,137,118,97,80,64,87,170,202,201,200,199,198,196,199,125,70,110,200,211,208,201,183,174,183,170,147,133,132,113,91,73,83,131,186,203,203,202,200,200,199,197,150,89,83,76,123,192,207,199,179,161,168,152,125,113,108,84,68,110,181,205,205,204,204,203,202,201,200,199,101,80,79,78,74,103,147,150,146,142,153,131,108,96,80,71,140,199,208,206,206,206,205,204,203,202,201,200,88,78,74,75,77,44,51,65,66,69,81,81,76,68,57,140,210,211,208,208,207,207,205,205,204,203,201,200,80,74,72,71,76,56,24,47,49,43,40,38,37,38,43,152,210,212,209,209,208,206,205,206,205,203,202,201,77,73,69,66,73,62,16,35,43,38,36,34,32,25,15,70,203,211,209,209,208,206,206,206,205,203,202,200,75,71,68,60,69,59,14,26,37,35,35,31,31,22,16,135,211,209,209,208,207,206,205,205,204,202,201,200
21,159,162,166,166,167,168,169,169,169,169,170,162,166,169,166,164,161,160,159,158,156,152,150,148,148,146,144,142,161,165,167,169,169,170,171,172,172,171,177,141,106,169,169,166,164,163,161,162,159,156,153,154,150,149,147,144,161,166,169,170,171,173,174,174,174,174,174,152,86,124,180,167,168,167,164,164,162,159,154,136,152,151,148,146,163,166,170,172,174,175,176,178,177,177,176,164,114,71,173,171,170,169,167,166,165,163,151,77,116,161,150,150,166,169,171,174,175,177,178,179,179,179,180,175,135,56,143,182,170,171,170,169,164,166,140,63,107,165,152,151,168,172,174,176,176,178,179,180,180,182,182,180,158,87,105,187,173,175,173,171,167,166,127,58,129,164,155,154,169,173,177,177,178,180,181,181,181,185,184,184,174,109,76,178,178,176,174,173,171,160,104,60,152,161,156,154,172,176,178,179,181,183,185,184,184,186,186,185,186,122,60,159,183,176,176,175,173,154,92,79,170,159,160,157,173,178,180,180,182,185,186,186,186,188,188,186,188,145,71,132,190,177,178,176,164,133,68,109,174,161,162,159,175,179,181,183,183,184,185,187,187,190,190,187,180,166,101,103,192,177,179,177,153,111,46,147,171,163,161,159,176,178,181,184,184,185,187,187,188,191,192,190,185,181,138,86,167,191,182,180,155,92,66,175,166,167,164,161,177,179,182,185,186,187,189,189,190,192,193,192,189,188,179,124,102,154,169,157,135,67,116,181,167,168,166,163,178,180,183,186,188,189,191,192,193,193,193,193,189,126,130,144,96,93,97,108,76,48,157,177,169,169,167,166,179,181,184,187,189,191,191,194,195,195,194,195,184,111,67,118,113,105,113,117,43,69,187,173,172,171,169,167,179,182,185,188,189,191,193,195,195,195,195,196,162,143,90,88,115,92,99,97,46,78,189,174,173,172,170,167,180,184,187,188,190,194,196,195,196,196,198,168,110,139,104,67,94,40,83,123,70,44,174,178,174,173,172,169,181,186,188,191,193,195,197,197,197,197,196,165,102,112,106,41,58,27,64,132,94,35,117,188,172,173,172,169,183,187,189,193,194,196,197,198,198,198,195,171,109,86,85,23,57,58,129,144,127,54,54,184,174,174,172,170,183,187,191,194,195,197,198,198,202,200,189,151,110,74,65,23,61,113,171,148,116,53,49,182,176,175,173,171,184,188,191,194,196,198,199,201,201,200,186,167,143,90,49,35,88,170,156,128,97,32,69,190,176,177,175,172,186,188,191,194,196,198,199,200,200,202,186,173,150,103,76,75,159,179,141,107,92,25,100,194,176,177,175,172,186,189,192,194,197,198,200,202,201,204,184,169,151,114,75,80,165,162,140,109,86,27,127,193,177,177,175,172,185,189,193,195,196,198,200,202,202,204,183,154,142,111,78,80,152,156,129,102,70,25,152,190,179,178,176,173,185,189,194,196,198,200,200,202,202,205,187,150,147,121,93,82,142,148,120,86,46,34,181,184,181,179,176,174,186,188,193,197,198,200,201,203,203,204,200,164,148,127,100,69,118,120,91,66,15,73,198,180,181,179,176,175,185,186,189,193,195,198,199,201,201,201,201,179,160,133,97,71,90,99,74,52,4,131,193,179,180,176,175,173,184,187,190,193,196,198,199,200,201,201,201,186,161,132,100,85,80,91,89,33,42,187,182,180,178,176,175,174,185,188,191,195,196,198,200,200,201,201,199,186,166,136,119,111,92,94,81,18,115,198,181,181,178,177,174,172
18,180,181,181,183,185,184,183,185,185,183,181,180,180,178,178,177,177,176,175,174,173,172,170,168,167,166,163,162,181,182,184,185,185,186,186,185,186,185,183,183,181,181,181,182,182,178,178,177,174,172,171,169,167,166,164,163,184,184,184,186,185,186,189,188,187,185,187,188,190,188,186,180,172,184,180,181,182,180,171,171,170,169,167,165,185,185,187,187,187,188,189,190,188,187,187,149,119,170,181,132,96,121,189,164,136,149,178,172,170,171,169,168,186,187,187,188,190,190,190,192,191,197,187,133,92,81,145,137,93,56,116,129,95,68,130,184,172,171,169,168,188,188,189,189,190,192,195,167,132,155,186,143,119,78,117,173,100,85,51,114,106,66,53,173,176,172,170,169,189,190,192,193,192,192,202,166,130,104,136,172,120,94,89,171,104,94,89,85,99,84,39,143,183,173,172,171,189,192,192,195,195,194,200,182,157,137,94,151,142,98,67,122,128,111,107,95,117,101,42,143,184,175,173,172,190,192,193,196,195,202,182,181,170,141,111,92,141,105,74,87,139,124,110,109,114,96,41,149,187,175,176,174,191,194,195,196,194,205,186,137,154,139,100,51,124,115,73,65,126,114,109,104,100,92,38,131,191,177,175,174,193,194,196,198,195,203,172,86,120,136,65,38,95,90,52,49,100,65,91,128,124,98,46,109,194,178,177,175,193,195,196,198,196,206,171,125,116,128,59,41,73,63,41,36,70,42,69,171,141,107,59,87,196,179,179,177,195,197,197,198,198,207,186,160,110,119,84,49,69,75,43,34,66,41,37,144,147,115,73,61,187,183,181,178,197,197,197,198,200,207,189,150,113,91,74,39,73,87,40,32,52,96,139,146,170,134,88,42,165,189,181,180,197,197,198,199,201,206,163,124,101,76,54,39,51,49,37,49,92,164,172,153,157,138,91,37,146,196,181,181,197,198,201,202,203,204,181,150,123,98,73,70,60,64,91,125,165,178,171,165,131,118,79,33,153,194,182,182,199,201,203,203,202,206,194,162,131,95,71,70,82,103,132,161,186,182,161,148,122,87,61,45,181,188,185,185,200,202,203,204,203,205,195,170,138,104,84,81,87,105,157,182,194,180,151,132,110,79,36,85,200,185,187,185,201,202,203,203,204,203,196,179,148,121,97,94,83,122,178,191,188,169,143,122,103,70,25,146,199,186,186,184,201,203,203,205,205,200,192,176,149,127,106,102,91,135,188,182,174,159,136,112,94,56,45,189,191,188,187,186,203,205,207,208,207,200,181,165,147,130,114,112,98,139,184,172,163,148,129,103,84,36,91,205,187,190,188,186,202,205,206,206,208,204,179,168,155,134,121,126,104,144,172,168,153,129,114,93,71,25,150,203,189,190,189,186,205,206,206,207,209,209,186,166,156,142,132,130,106,145,165,160,148,120,99,80,47,51,197,193,192,190,190,187,204,207,208,207,208,213,198,166,160,152,137,123,103,128,159,148,134,109,84,69,20,123,209,193,193,192,190,188,205,207,207,208,207,210,207,184,167,153,139,126,108,113,142,137,117,93,73,43,44,197,196,195,194,193,191,189,205,205,206,209,210,212,210,195,175,160,144,132,118,110,129,127,104,83,66,16,126,211,194,195,195,194,192,188,205,206,207,207,210,211,211,204,185,157,137,127,122,118,121,119,99,80,43,51,201,199,198,197,196,194,192,188,206,207,209,208,210,212,209,203,186,159,151,148,142,133,115,113,92,71,26,124,214,197,197,197,196,194,192,189
15,88,91,95,98,101,107,117,129,138,144,148,151,156,161,165,167,171,173,175,177,178,181,182,182,182,183,184,183,89,92,94,99,102,107,118,130,138,145,149,151,156,161,165,169,172,175,177,179,181,181,183,184,184,185,187,186,90,91,94,99,103,109,121,131,140,147,151,153,158,164,167,171,174,177,178,181,182,184,185,186,187,187,187,187,90,92,95,100,102,109,122,132,141,148,152,155,160,166,169,173,177,178,180,183,185,186,187,188,190,189,189,189,90,92,95,103,133,138,138,139,147,154,153,156,160,166,171,175,177,179,182,185,186,188,189,191,192,192,192,192,90,93,93,137,195,158,146,144,159,166,154,149,154,162,164,171,178,181,184,186,188,190,192,193,194,194,194,194,91,94,93,135,170,126,120,121,151,150,134,137,169,170,151,139,150,168,179,187,191,192,193,195,196,195,196,195,92,93,96,103,116,109,110,110,136,131,117,127,171,173,152,125,139,148,154,154,172,194,195,197,197,197,198,197,92,94,97,101,104,112,122,130,138,134,126,131,163,164,134,132,169,161,158,148,126,163,198,198,199,199,199,199,92,95,97,101,105,114,128,140,150,155,157,158,150,129,116,186,173,168,143,167,146,115,171,201,201,201,201,201,94,94,97,101,104,115,128,140,150,156,167,188,144,111,115,165,161,141,138,168,154,134,109,183,203,202,202,202,92,94,96,101,104,115,129,141,151,157,182,201,167,113,92,97,121,116,153,144,149,145,104,121,200,204,204,204,93,95,97,100,104,116,130,142,151,157,177,204,191,150,129,111,100,112,164,139,142,122,108,85,154,208,206,206,92,94,97,100,105,117,131,142,152,160,184,184,188,173,182,160,112,108,112,115,115,92,81,80,90,182,209,207,93,95,97,101,105,117,130,143,152,173,193,168,165,155,180,157,99,96,98,96,102,86,70,74,69,102,195,210,94,95,97,101,105,118,132,143,153,170,170,139,138,141,158,125,92,94,93,96,103,94,77,75,71,66,131,210,94,94,97,101,105,118,132,143,154,165,176,146,137,113,102,92,83,83,87,90,93,90,88,84,74,70,80,185,94,95,97,101,105,119,133,144,154,170,189,187,162,123,103,116,104,69,89,100,99,96,101,97,81,72,69,126,93,95,97,100,105,119,133,145,155,164,175,189,170,139,127,121,123,79,93,117,116,116,119,108,83,70,72,74,94,94,97,100,106,120,133,145,156,163,168,169,152,127,96,91,121,133,95,119,132,131,121,102,77,72,75,73,94,93,96,99,105,119,134,147,156,162,164,166,150,125,97,83,108,134,104,105,137,136,112,90,74,77,79,77,93,93,96,98,105,119,134,147,156,162,164,170,176,180,179,160,131,151,150,129,123,119,97,83,77,80,80,77,90,92,94,96,104,119,133,146,156,162,164,169,176,181,189,179,109,122,135,139,111,109,96,73,60,58,58,60,89,90,93,95,102,119,133,146,156,161,163,169,176,183,190,159,89,79,64,64,68,71,58,44,36,32,29,24,89,90,92,94,101,117,132,145,156,161,164,170,177,183,190,137,86,81,75,40,38,48,44,37,34,30,24,17,87,89,91,94,100,116,132,145,156,162,165,171,178,184,185,116,82,77,75,63,18,35,42,37,33,30,24,17,85,86,89,92,99,115,131,144,155,162,165,170,177,185,170,93,78,74,70,71,19,17,34,33,25,23,22,14,83,83,87,90,98,114,128,142,153,160,163,169,176,185,144,83,80,72,69,74,22,9,23,26,21,24,25,11
3,167,169,171,172,175,177,178,178,179,179,179,179,179,178,178,174,189,190,125,161,176,172,172,170,168,167,166,164,168,171,173,174,176,178,179,181,181,182,181,180,181,181,180,176,192,180,114,141,182,173,172,172,170,169,167,166,169,173,174,176,178,180,181,183,183,183,183,183,182,182,181,178,191,172,115,134,183,174,174,174,172,169,168,167,171,174,176,177,180,182,183,184,185,185,185,184,184,183,183,180,191,174,115,131,183,175,176,174,172,171,170,168,173,175,177,179,181,183,185,186,187,186,186,186,186,185,184,181,194,193,131,125,182,177,177,176,174,173,171,169,175,177,179,181,183,185,186,188,189,189,189,189,188,187,186,181,199,196,131,119,181,179,177,177,175,173,172,171,176,179,181,183,186,187,189,190,190,190,191,190,189,189,188,183,203,188,123,117,183,180,179,178,176,174,173,172,177,180,183,185,188,189,191,192,193,192,192,192,191,190,190,184,203,187,126,119,186,182,181,179,177,176,174,173,179,182,185,188,189,190,193,194,194,195,194,194,194,192,191,188,212,185,127,118,186,183,183,181,179,177,176,174,180,183,187,189,191,193,194,196,196,197,196,196,195,192,193,185,173,154,110,117,190,184,183,182,180,177,176,174,181,185,188,190,193,195,196,197,198,198,198,197,196,198,214,180,125,100,84,134,195,184,185,184,181,179,177,175,182,187,190,192,195,196,198,199,200,200,199,197,195,181,178,182,146,114,71,167,196,186,187,185,183,181,178,177,184,187,191,193,195,198,200,200,201,201,197,209,208,155,107,156,202,137,104,151,184,193,189,186,184,182,180,178,184,188,191,194,197,199,200,202,198,205,176,144,188,161,121,137,208,132,115,100,127,146,188,188,185,184,183,180,185,189,192,195,199,201,202,201,213,214,176,125,149,179,136,118,177,140,130,115,139,110,166,194,185,184,183,181,186,190,194,197,199,201,201,208,216,203,192,158,125,175,135,108,149,149,140,124,136,100,158,197,186,186,184,182,186,191,194,197,200,202,202,219,216,193,199,162,119,150,134,108,141,119,111,135,118,92,155,199,187,188,185,184,186,190,194,197,200,202,201,215,209,172,176,160,113,124,132,94,164,166,97,153,141,93,137,200,187,186,185,183,188,191,195,199,201,203,204,206,206,186,175,144,97,119,120,79,161,171,100,138,146,91,121,200,188,187,184,182,188,192,196,199,201,203,204,209,217,202,184,135,115,123,130,101,148,151,131,132,123,87,155,197,187,187,188,191,187,192,197,199,201,203,204,208,219,208,196,139,122,122,140,151,192,174,151,134,95,109,199,197,198,196,179,145,189,194,199,202,204,206,209,210,219,215,193,152,136,128,179,201,183,157,128,122,92,162,203,170,149,127,91,70,148,149,150,151,153,153,150,150,206,212,186,169,147,140,188,194,166,141,122,112,93,116,100,70,58,55,61,65,128,129,129,130,129,127,128,116,177,211,187,172,158,133,160,169,146,126,113,98,73,57,56,58,63,61,55,58,135,135,134,135,134,135,143,118,116,209,188,172,157,126,126,125,120,109,97,73,60,62,63,57,57,64,60,55,135,135,134,133,133,133,135,114,69,135,182,174,140,110,112,110,112,90,61,73,55,52,60,59,53,56,62,61,135,137,137,136,135,136,131,94,81,77,109,132,117,113,107,101,91,59,38,60,68,44,51,58,56,54,57,61,136,136,136,135,134,137,116,83,84,82,73,82,106,100,85,78,60,40,39,50,69,56,41,54,57,55,54,60
18,166,168,169,171,173,175,175,175,177,177,177,178,178,176,175,176,175,175,174,173,174,173,172,173,170,170,169,168,168,170,172,172,174,176,177,177,179,179,180,181,181,179,178,178,177,176,175,176,177,175,174,172,173,173,171,171,172,172,174,175,177,178,179,179,179,180,180,181,180,180,180,179,180,179,177,177,177,176,176,175,175,174,173,172,172,174,176,178,179,179,181,180,181,181,181,181,181,181,181,181,180,181,180,179,178,179,180,175,176,174,173,173,173,174,177,178,180,181,181,181,181,182,181,183,183,183,183,183,182,182,182,180,180,177,173,179,177,177,176,175,174,175,178,180,181,181,183,182,183,184,184,184,185,185,185,184,183,181,182,178,202,161,125,186,178,178,178,176,177,179,179,181,181,182,185,186,185,186,186,186,185,186,185,185,189,188,183,186,220,162,81,175,182,180,178,178,178,180,181,182,183,185,187,188,187,188,187,188,188,186,191,171,140,166,155,146,218,185,92,127,193,178,181,180,179,180,182,184,185,187,188,189,188,190,189,190,189,189,208,191,140,114,125,145,218,197,127,71,161,190,179,182,180,182,184,187,187,188,188,190,191,192,193,190,194,180,138,166,178,132,97,126,195,195,144,109,93,168,187,181,181,182,185,187,187,189,190,193,193,192,191,203,200,175,135,83,154,148,100,76,112,169,157,130,99,91,190,183,182,185,186,189,189,191,192,193,195,190,211,221,217,182,153,103,100,148,97,64,56,122,179,133,111,72,180,188,184,186,187,189,191,193,192,194,194,197,219,199,225,187,156,116,69,97,83,60,43,146,189,155,116,78,182,187,186,187,189,191,194,194,194,197,192,222,220,177,202,176,164,114,70,70,74,61,44,121,186,169,120,74,178,190,187,188,190,192,194,194,196,194,210,220,202,182,191,147,126,94,67,89,67,45,46,123,178,173,124,72,179,192,188,190,192,193,194,197,194,200,230,208,170,146,177,104,90,79,82,109,63,83,106,138,179,159,115,70,179,195,189,192,192,193,195,197,196,202,236,221,192,145,123,118,111,43,81,116,144,173,176,137,142,136,113,65,168,196,189,192,193,196,198,200,197,210,236,223,204,158,112,127,102,20,132,200,201,177,162,146,104,119,115,66,155,201,191,193,194,197,199,202,197,223,235,221,184,149,136,124,85,104,221,209,196,173,139,140,110,99,107,61,168,202,193,195,196,197,200,201,201,227,232,211,170,160,134,102,107,200,212,202,185,166,139,127,115,91,80,85,198,194,193,194,196,199,200,200,205,230,231,206,173,167,133,105,169,217,206,193,180,163,136,119,108,89,59,150,205,192,194,195,196,198,200,201,208,230,227,206,178,184,129,151,182,207,201,183,175,158,123,112,99,74,73,197,198,197,196,196,197,200,202,201,209,227,222,205,193,177,136,138,181,186,192,172,165,142,115,101,92,54,130,211,196,199,195,196,198,200,202,201,208,226,220,209,200,160,126,124,168,174,172,166,153,130,108,92,71,69,195,201,200,200,195,197,199,201,203,202,212,221,217,213,185,136,107,138,153,168,164,153,140,115,94,78,47,150,211,199,202,201,197,199,201,199,203,203,217,215,204,196,164,133,129,148,154,163,159,142,126,102,84,50,111,210,199,201,203,201,198,199,202,203,203,202,225,224,222,207,194,177,157,139,153,163,149,125,106,93,58,89,206,203,202,202,202,201,196,201,196,187,204,208,232,224,223,210,191,173,156,129,141,157,133,110,98,73,69,190,209,204,203,203,203,203
3,163,166,170,172,173,174,175,176,178,178,178,177,175,194,178,162,177,176,174,173,172,170,168,167,166,164,161,158,166,169,173,174,176,178,179,179,181,182,182,181,177,205,205,135,177,180,177,176,175,174,171,170,168,166,163,161,169,172,174,177,180,181,182,182,184,184,185,183,182,197,226,135,160,184,180,179,178,177,175,173,170,168,166,164,171,173,177,179,181,183,184,184,186,186,186,187,187,188,237,169,146,188,184,182,181,180,178,175,173,171,168,166,173,176,179,181,184,186,186,187,187,188,188,189,191,186,238,196,134,186,186,184,183,182,180,179,176,174,171,171,176,179,182,185,186,187,189,191,190,191,190,191,189,209,240,204,146,180,191,188,186,183,181,181,179,177,175,172,178,181,184,186,187,189,191,193,193,191,204,227,213,225,244,245,197,160,190,191,188,186,185,184,182,180,178,176,179,183,186,189,189,191,192,194,196,191,229,255,252,232,190,207,209,140,189,188,179,190,188,186,184,183,181,179,181,184,188,192,193,195,195,196,195,210,242,242,211,219,185,141,205,173,196,164,163,196,191,189,186,185,184,182,184,187,191,194,196,197,197,199,198,243,252,240,193,171,192,159,174,206,194,143,133,198,194,192,190,188,186,185,187,189,193,196,199,199,200,201,206,241,204,173,210,196,166,186,135,138,181,158,122,170,199,195,192,190,189,187,188,192,195,199,200,201,202,202,214,242,176,101,125,153,121,131,113,88,160,185,150,142,200,197,194,193,191,189,191,194,198,200,200,202,204,204,220,237,162,127,116,112,111,110,103,86,145,198,155,152,201,199,196,195,193,192,192,196,199,201,202,205,206,204,229,236,196,165,128,116,116,121,103,97,182,207,154,166,203,199,198,197,196,194,194,197,200,203,205,207,208,207,235,244,204,154,124,120,127,127,132,159,213,213,156,179,205,201,201,200,197,195,196,198,201,204,207,208,210,210,236,242,190,139,120,124,136,143,188,220,229,209,148,189,207,204,202,201,199,197,197,200,204,206,207,209,211,210,234,241,191,145,129,131,143,168,226,241,224,190,141,195,209,207,204,202,201,199,198,201,205,207,208,211,214,212,234,246,201,155,136,138,149,196,242,239,211,163,148,205,209,207,206,205,203,201,200,203,207,209,211,213,214,213,230,249,208,165,142,145,164,222,241,230,202,150,154,213,210,209,211,209,206,198,200,204,207,209,211,213,213,213,228,251,220,176,149,151,174,235,238,217,191,143,167,216,213,212,174,146,139,123,200,204,207,209,212,213,214,216,224,249,224,187,160,160,180,231,231,205,177,138,184,217,219,178,118,115,109,105,201,205,209,213,214,215,216,218,221,243,227,199,174,174,177,213,212,184,159,138,203,219,209,139,110,105,101,97,202,205,209,212,215,216,217,219,221,237,232,209,183,181,162,180,185,155,138,152,220,208,145,105,90,76,62,46,204,207,209,212,215,217,219,222,194,211,243,217,186,169,142,147,152,137,120,173,165,125,106,95,79,63,62,52,206,209,212,216,218,219,224,191,77,167,253,215,172,142,120,123,127,124,83,63,84,107,105,103,86,59,53,56,185,190,194,197,201,204,206,117,25,135,233,194,144,113,101,112,112,95,41,13,52,90,91,97,104,73,48,52,121,123,126,127,126,125,134,109,47,84,175,181,136,97,107,116,95,60,17,29,76,73,75,79,101,91,57,45,119,117,123,122,119,122,126,131,103,88,118,162,130,103,119,107,79,53,34,55,80,57,55,67,88,98,73,46
4,190,190,191,191,191,191,190,189,189,189,189,188,187,187,187,186,184,184,183,182,181,181,180,179,179,178,177,175,192,192,192,192,192,191,190,190,190,190,189,188,188,187,187,187,186,186,184,183,182,181,181,180,179,179,178,177,193,193,194,194,193,192,192,192,191,191,190,189,188,188,188,188,187,186,185,183,182,182,182,180,179,179,179,178,194,195,195,195,195,194,194,193,192,191,190,190,187,187,188,188,186,185,185,184,184,183,182,181,181,181,180,179,196,196,196,196,196,195,195,193,187,180,177,180,172,164,171,178,172,168,177,185,186,184,183,182,182,182,181,180,197,197,197,197,197,196,199,198,180,159,135,140,152,130,120,150,151,126,135,171,179,181,183,184,183,182,182,180,198,198,198,198,197,198,206,204,182,147,107,102,135,115,90,125,139,107,91,112,130,146,171,183,184,183,182,181,200,200,199,199,197,203,207,194,181,138,99,94,130,110,81,117,136,105,78,66,81,92,129,178,184,184,183,182,200,200,200,200,199,205,204,184,179,146,117,99,140,130,83,116,155,124,82,61,77,78,105,173,185,185,184,183,201,201,201,201,200,205,201,176,176,168,139,108,158,149,86,119,179,142,88,73,104,101,113,174,186,186,186,184,201,201,202,202,201,211,213,189,169,159,124,101,148,134,86,121,173,140,99,99,133,128,114,163,186,187,186,185,202,202,202,203,204,215,209,185,157,131,100,82,100,96,108,156,157,142,137,134,141,130,106,134,181,188,187,186,203,203,204,204,208,215,200,174,145,118,99,84,75,74,115,171,159,149,155,149,143,135,118,113,163,188,187,187,203,204,205,204,212,224,209,184,153,115,93,82,76,77,93,139,148,144,150,140,137,152,142,113,137,184,187,187,205,205,206,206,216,227,213,190,153,112,94,84,77,79,88,111,123,134,141,121,136,168,160,123,113,173,189,188,207,207,207,208,219,227,214,189,148,112,99,87,80,88,105,122,134,151,158,147,148,168,163,125,98,154,189,189,207,208,208,208,221,227,211,179,146,117,102,92,92,117,146,166,174,179,175,170,155,144,141,115,89,131,186,189,208,208,208,209,221,226,209,178,151,119,107,115,138,169,185,189,185,179,167,158,149,125,115,104,87,113,181,189,209,209,209,210,220,224,207,182,160,135,132,152,174,192,192,188,180,171,158,145,137,118,105,98,85,106,179,191,209,210,207,195,195,205,201,187,169,147,146,167,178,194,189,182,174,164,150,136,125,110,96,88,81,125,185,192,211,211,195,137,116,131,157,171,157,138,137,159,169,179,179,174,168,154,134,122,112,95,81,75,106,169,192,193,212,211,168,96,79,79,88,95,91,89,97,122,142,156,163,164,156,139,120,109,95,78,69,97,161,192,195,195,214,197,129,82,73,71,68,50,38,47,52,63,80,100,120,138,137,125,108,92,75,67,95,158,192,196,196,196,210,162,93,75,69,68,68,52,25,32,40,42,43,46,55,74,89,93,82,69,67,101,161,194,198,198,197,197,188,119,78,68,63,63,66,55,21,24,35,38,36,34,34,35,41,48,46,60,114,171,197,200,200,199,198,197,140,88,72,67,62,60,64,49,17,20,32,35,32,31,32,31,31,28,24,79,173,201,202,201,200,200,199,198,92,73,63,76,76,56,60,36,13,21,30,31,28,29,29,29,29,23,16,47,152,203,203,202,201,201,200,199,73,64,58,78,89,62,53,24,13,22,27,27,25,26,27,28,28,19,14,23,117,200,204,204,202,201,200,200
18,66,69,71,74,78,84,87,92,98,104,110,113,117,119,122,123,126,129,130,132,135,137,139,140,142,143,143,146,65,69,72,75,80,84,87,92,98,105,110,115,119,120,121,124,127,130,131,134,135,137,139,140,142,143,145,146,66,69,72,75,79,85,88,92,99,105,110,116,119,120,122,124,128,131,132,135,137,139,140,141,143,144,147,148,67,70,73,76,79,85,88,93,101,106,112,116,121,122,123,125,127,131,134,137,138,141,143,143,143,144,147,149,67,70,73,77,81,86,89,94,101,108,114,117,120,122,126,125,134,131,121,133,141,138,136,147,147,146,147,149,67,70,73,76,82,86,89,95,101,109,116,116,122,128,118,128,165,123,96,89,144,147,112,103,148,149,149,150,68,70,73,75,81,86,90,98,103,111,115,112,167,137,94,134,155,125,121,124,165,146,110,78,91,151,149,150,68,71,74,76,82,87,90,98,100,113,109,143,188,137,104,148,151,130,139,145,145,121,115,107,66,121,158,151,70,72,74,76,83,89,93,93,116,157,110,117,174,136,129,124,134,124,129,132,115,107,123,116,91,87,160,152,70,73,75,78,84,88,94,87,171,172,131,95,141,158,131,102,102,117,99,105,84,123,129,121,112,74,123,165,71,73,75,78,84,89,87,106,189,170,151,124,104,166,133,103,86,144,98,63,77,150,133,135,126,98,75,144,70,72,75,78,84,90,81,131,161,163,166,142,87,125,144,108,71,132,128,84,44,121,137,148,138,109,83,82,71,73,75,80,85,91,82,142,130,125,155,122,82,81,123,95,65,87,103,67,56,121,155,163,141,113,95,75,72,73,75,80,84,91,81,160,155,120,132,83,73,57,82,77,52,55,53,88,162,166,148,148,133,112,98,86,71,73,75,79,85,88,84,171,159,133,136,76,68,47,72,75,43,25,98,176,171,156,149,130,115,103,96,79,71,73,76,79,86,86,101,184,155,128,118,84,64,38,69,67,38,84,179,182,173,156,137,119,97,90,84,85,71,73,75,79,85,86,97,199,173,149,137,112,84,73,74,70,94,169,186,182,171,144,129,109,89,84,73,116,72,73,76,81,85,87,94,197,182,163,150,127,110,114,107,113,163,184,183,177,157,133,117,101,86,78,76,149,71,73,76,81,85,89,93,196,190,170,150,130,121,125,123,146,177,178,176,163,141,124,108,94,85,71,98,167,71,74,76,80,86,90,90,192,189,170,152,139,136,132,137,160,173,177,164,145,134,116,100,93,86,67,132,168,72,74,76,81,86,91,88,175,190,174,159,150,146,143,150,161,165,166,146,129,121,106,94,87,79,82,162,163,72,74,76,83,88,93,89,151,192,177,174,162,149,143,147,150,150,147,133,119,109,97,87,86,70,123,168,160,72,74,77,84,88,92,92,125,190,182,186,171,154,140,129,130,133,129,126,109,97,90,85,76,79,159,163,162,72,74,78,84,86,91,100,101,176,183,176,170,154,135,122,118,123,121,119,104,90,87,86,64,116,167,161,164,72,73,77,83,87,91,103,100,142,180,156,154,146,131,118,116,119,122,121,107,93,88,79,67,150,164,162,166,72,74,78,83,88,90,99,106,114,169,156,140,130,116,116,121,108,113,118,106,91,86,69,86,164,160,163,165,71,74,78,84,87,91,101,111,108,150,144,126,130,120,131,135,109,105,117,106,90,86,63,103,170,160,163,165,70,73,78,83,85,92,100,109,110,136,152,134,141,130,127,130,113,98,110,106,90,82,60,95,169,161,164,165
15,171,160,133,142,94,86,155,5,6,58,55,59,64,68,72,88,107,123,136,140,146,155,161,166,171,175,178,183,181,161,135,149,87,107,153,0,18,59,57,59,66,70,76,93,110,127,139,143,149,160,165,171,175,179,183,188,189,158,139,155,76,127,145,0,30,61,58,60,66,70,77,97,114,130,142,146,152,161,169,175,179,183,187,191,193,161,147,158,70,150,129,0,41,61,59,62,67,70,79,100,118,133,143,148,157,165,173,177,182,187,190,194,194,161,155,156,71,170,110,0,51,61,60,64,71,71,81,102,121,138,147,151,159,169,177,181,186,191,195,198,193,160,161,149,73,182,87,0,57,58,59,62,64,67,84,106,124,141,149,153,161,171,179,186,191,195,199,202,195,160,166,138,79,194,66,0,69,65,73,81,93,89,83,108,128,146,157,159,169,182,191,193,194,199,204,207,191,166,178,139,116,146,114,106,104,102,115,118,112,98,88,90,99,114,132,145,154,156,162,191,212,206,207,213,182,173,169,120,117,118,110,106,88,94,93,87,82,86,102,98,96,97,97,105,119,112,98,97,136,206,225,217,183,170,138,103,101,95,93,86,83,89,88,89,87,97,110,111,102,98,92,101,123,120,109,90,62,82,170,231,183,169,175,98,108,102,69,74,77,87,90,88,90,106,110,106,101,93,94,114,110,109,110,99,87,67,57,111,180,171,185,83,167,163,0,46,70,64,68,70,77,90,109,116,110,94,105,110,113,109,111,97,91,93,81,56,178,182,182,78,184,142,0,50,67,61,64,68,69,74,98,142,180,138,119,112,108,109,104,104,91,106,101,78,180,186,176,79,201,122,0,59,67,62,64,69,71,79,101,180,173,140,106,110,96,85,90,104,91,120,117,92,186,188,167,88,211,100,0,65,65,61,65,69,73,70,143,190,136,120,54,59,67,36,66,125,107,134,119,97,190,194,154,95,215,77,0,71,64,61,65,69,69,88,192,154,119,100,56,13,17,0,74,163,142,136,101,92,193,197,143,108,220,56,0,74,64,64,65,70,60,162,210,134,106,79,36,10,5,0,105,173,163,140,94,82,192,202,129,122,220,36,0,77,64,63,65,70,63,175,200,151,106,68,9,3,0,7,127,174,183,153,99,77,197,210,118,142,214,18,8,78,63,64,66,71,62,120,209,182,132,78,12,0,43,41,97,171,183,147,100,81,201,216,107,163,213,3,20,78,63,62,64,69,71,82,195,213,165,94,24,0,45,80,114,169,150,117,98,70,203,217,99,182,205,0,31,78,62,61,63,67,71,80,152,235,184,126,86,65,74,142,155,135,102,84,88,66,207,214,92,202,188,0,39,74,60,59,60,63,65,88,118,214,211,190,176,167,176,159,105,83,73,71,72,65,212,207,93,218,169,0,49,70,59,58,58,62,64,88,116,202,186,143,134,147,167,141,78,62,68,52,71,80,214,196,95,232,146,0,58,69,57,56,56,61,68,80,172,202,132,128,127,140,171,140,73,56,53,98,62,51,216,184,105,243,122,0,59,61,52,51,54,60,66,79,195,171,128,118,118,125,151,138,85,53,180,229,53,36,220,171,112,246,106,0,76,69,56,54,53,54,60,80,159,156,127,123,107,95,116,118,79,57,234,241,64,44,223,160,131,228,167,126,124,128,121,116,111,112,115,117,126,139,144,178,180,97,65,155,104,98,210,220,72,51,225,148,146,223,177,99,96,106,106,106,107,114,114,113,105,107,112,114,194,167,78,115,118,111,124,122,69,56
2,180,182,183,183,185,187,187,187,188,187,187,188,187,187,186,182,183,184,183,183,183,182,181,181,180,180,178,177,182,183,184,186,187,188,188,189,189,188,188,189,188,185,188,199,208,201,186,179,181,183,183,182,182,181,180,178,183,183,185,188,188,188,189,189,189,189,190,187,189,203,221,224,212,205,204,168,150,148,167,183,181,182,181,180,184,185,186,187,189,189,190,189,190,191,188,196,230,220,220,220,199,175,167,144,123,124,119,170,186,182,181,181,185,186,188,188,189,191,192,192,191,193,185,222,228,215,221,191,156,135,131,124,122,124,111,156,189,181,182,183,186,187,188,190,190,191,192,193,192,191,193,236,227,217,180,146,119,112,117,116,124,125,141,179,186,184,184,183,187,188,189,190,192,193,193,194,194,188,206,243,224,173,133,120,110,119,122,151,179,178,187,188,187,185,184,184,187,188,190,192,193,193,194,195,197,189,215,240,205,145,113,118,117,122,164,192,191,191,188,187,186,186,186,185,189,190,192,193,192,194,194,195,197,191,233,229,174,123,106,112,114,127,194,189,189,189,189,188,187,187,186,186,189,191,192,193,194,195,195,197,192,209,242,193,137,106,105,102,112,131,192,191,191,191,189,189,189,188,187,186,189,191,192,194,195,196,196,197,197,239,221,165,125,114,117,110,104,144,198,191,192,191,190,189,189,188,187,187,190,192,193,195,197,197,199,193,228,246,203,159,133,126,124,122,110,158,200,192,193,192,190,190,190,189,188,188,191,193,194,196,198,199,199,200,252,237,191,151,130,133,126,125,117,164,201,192,193,193,191,190,191,191,188,187,193,194,195,197,198,199,196,214,255,223,174,141,132,132,124,127,121,167,202,193,195,193,193,192,191,193,192,189,194,195,196,199,199,202,195,232,253,211,164,136,129,127,124,128,122,172,202,195,195,195,195,195,194,186,177,184,194,195,197,199,200,201,199,251,244,201,160,134,126,126,127,129,117,170,204,195,196,195,196,193,180,179,150,153,195,197,198,200,203,196,220,255,230,193,155,131,123,124,123,123,113,148,206,197,197,198,195,177,183,168,138,183,197,198,200,201,204,199,246,252,220,187,152,128,121,120,119,125,119,123,199,200,199,200,173,174,181,137,166,197,198,199,201,204,199,214,255,241,213,180,147,126,119,116,122,128,128,114,163,210,198,169,163,179,152,136,194,193,199,200,201,205,199,232,255,232,204,175,145,125,118,119,123,126,129,125,121,154,162,160,172,165,136,153,199,193,199,200,202,204,202,246,248,224,202,173,143,125,117,124,125,121,125,127,123,125,155,178,170,147,144,185,197,194,200,201,204,203,211,250,239,221,202,169,145,130,121,130,129,128,132,133,130,143,169,176,159,148,188,199,196,195,201,202,205,201,230,249,235,226,205,174,154,134,125,137,140,144,142,142,137,146,170,156,151,191,203,199,196,195,201,203,204,204,248,249,237,226,207,180,158,138,130,144,150,153,144,141,139,144,147,155,196,202,200,201,197,196,202,204,203,214,252,246,236,223,196,169,156,142,135,145,153,153,146,141,135,138,154,199,205,202,201,200,199,197,202,206,198,229,248,240,231,208,177,154,147,142,141,149,150,148,145,133,155,190,202,205,202,201,201,201,198,196,203,202,217,248,237,227,210,181,155,150,146,140,142,144,144,142,135,162,206,208,204,204,203,201,201,201,198,196,202,208,251,238,223,212,194,159,151,152,147,144,142,139,138,143,177,209,208,205,205,205,203,202,202,201,199,198
10,62,64,65,69,73,76,82,92,100,107,112,115,117,121,124,127,130,132,133,135,137,137,138,140,140,139,141,142,63,65,67,69,73,77,83,94,102,108,114,117,119,122,125,127,130,132,132,138,137,138,139,141,141,140,141,142,62,65,67,71,74,77,84,96,104,110,116,118,119,124,126,130,130,139,139,119,140,140,140,142,143,142,142,142,62,66,68,72,75,78,86,98,106,112,117,119,122,125,128,133,127,161,151,81,131,145,143,144,145,144,144,144,63,66,69,72,76,79,88,100,107,114,118,120,124,127,130,133,131,151,158,95,103,151,144,146,147,146,146,147,64,68,70,72,76,80,89,101,108,116,120,123,126,129,132,136,136,145,165,109,80,144,149,149,149,149,149,149,65,68,71,74,77,80,91,102,110,118,122,123,127,131,134,137,142,141,164,131,85,126,155,150,151,151,151,151,65,69,71,75,78,81,92,104,112,118,123,124,128,134,137,140,142,142,162,149,95,105,160,152,153,154,154,153,66,69,72,76,78,82,94,106,113,121,125,125,130,134,138,139,157,147,97,130,108,86,155,157,157,156,156,157,67,69,72,76,78,84,96,107,115,122,125,127,132,137,140,141,170,122,73,103,154,87,143,162,159,159,159,159,67,70,73,76,79,85,97,108,116,124,126,129,134,137,144,143,165,114,86,76,170,95,125,167,161,162,162,161,68,71,73,77,80,86,98,109,118,125,127,132,134,144,136,153,183,133,124,82,120,110,104,170,162,164,164,163,69,71,73,78,80,87,100,111,120,127,129,127,149,187,150,169,157,152,145,100,76,107,91,166,164,165,166,166,70,71,75,78,81,88,101,112,121,127,133,140,151,210,177,178,124,114,150,120,77,82,78,152,170,166,167,166,71,72,75,78,81,88,102,113,124,121,176,197,139,147,183,186,141,73,134,147,103,73,62,133,175,166,168,168,71,72,75,78,81,89,103,115,125,123,184,212,157,84,134,190,134,75,85,150,122,87,57,116,177,168,171,171,71,73,75,79,82,91,105,116,126,131,156,135,165,148,96,132,91,55,58,125,131,102,68,103,177,169,171,172,71,73,76,79,83,92,105,116,127,131,166,120,139,163,83,98,109,48,91,133,131,120,83,91,176,171,172,172,71,73,76,79,83,93,107,118,129,128,177,163,113,97,84,114,117,110,168,156,134,127,95,87,170,174,173,173,72,74,76,79,83,94,108,120,130,131,177,159,134,119,108,116,125,185,185,148,138,121,96,92,169,176,174,174,71,75,77,80,83,96,108,121,132,130,196,189,160,127,124,135,205,211,168,134,121,112,97,100,173,176,175,176,72,74,78,79,83,96,109,121,132,130,196,201,164,137,147,166,226,193,160,136,110,101,93,114,180,176,177,178,73,74,77,80,83,96,110,122,134,129,203,208,162,162,156,176,220,183,151,131,109,95,88,133,183,175,177,178,73,75,77,80,84,97,112,123,134,131,194,198,169,177,161,198,204,169,139,119,104,97,88,145,184,177,178,179,73,75,78,80,85,98,112,124,135,131,179,196,190,183,179,206,185,150,127,108,99,96,93,164,182,178,179,179,73,75,78,80,85,99,112,124,136,132,161,209,203,182,166,180,167,136,115,103,99,88,108,181,179,180,181,181,73,75,79,79,85,100,114,125,135,138,143,198,190,171,153,155,152,139,120,108,100,80,130,186,180,181,181,184,73,75,79,80,87,102,114,127,135,140,138,173,172,158,150,153,150,152,132,107,96,76,146,187,180,182,183,185
23,156,156,156,154,155,157,156,155,153,153,152,150,150,149,148,148,147,145,143,142,141,139,136,134,134,127,15,0,159,158,158,157,157,159,158,158,157,155,156,154,152,151,150,150,148,147,145,143,143,141,139,136,139,120,0,0,159,159,159,160,161,161,161,160,160,158,158,158,156,154,153,152,149,149,148,146,145,143,142,139,149,93,0,0,163,162,162,163,164,164,165,164,162,160,158,158,159,157,157,156,155,151,150,149,148,147,145,139,152,69,0,0,167,165,165,166,167,166,166,166,165,164,163,161,151,153,155,153,147,156,154,151,151,148,146,142,148,42,0,0,167,168,168,167,168,167,167,167,166,165,165,150,116,109,124,122,108,89,147,155,150,150,149,146,144,17,0,0,169,169,170,171,171,170,168,169,168,168,160,137,143,119,117,128,124,59,77,168,151,152,151,149,152,38,0,0,171,171,172,172,172,173,172,171,171,170,159,143,125,84,61,94,85,84,33,117,166,152,152,149,157,70,0,0,173,172,172,173,173,174,174,172,172,167,162,138,106,51,89,108,113,82,68,36,133,161,153,150,154,99,56,0,174,173,174,174,174,174,175,173,173,163,157,118,108,53,165,175,173,136,83,45,106,166,155,153,153,121,91,21,175,174,175,174,175,175,176,175,173,155,147,104,100,92,178,170,170,175,160,143,160,160,157,155,156,133,74,117,175,176,176,176,178,179,176,179,168,152,139,94,85,128,157,142,140,123,133,172,163,160,158,156,157,137,105,110,177,178,179,179,179,179,177,178,152,141,129,112,116,127,132,133,134,112,52,155,160,161,160,158,158,147,128,125,180,180,180,179,179,179,180,154,123,123,130,141,150,159,158,148,131,102,50,141,146,124,160,159,156,158,140,92,181,181,181,180,179,182,172,150,135,126,128,130,141,136,123,114,102,102,61,112,159,101,126,168,158,157,157,109,181,182,182,181,181,183,171,149,136,122,115,122,129,132,136,131,112,99,69,37,117,77,99,173,158,158,158,151,183,184,184,184,182,186,163,155,158,131,121,121,128,135,128,125,122,58,32,1,50,23,95,176,160,160,157,157,185,186,188,188,185,190,156,154,154,124,117,125,134,136,130,126,110,45,9,0,3,34,157,166,163,161,158,156,186,187,188,187,186,191,157,136,152,143,144,145,139,138,126,111,71,27,12,5,14,146,175,164,164,163,160,158,185,187,187,186,185,190,155,131,162,155,148,142,112,96,78,45,40,31,13,1,116,181,165,166,165,163,160,157,187,187,186,187,187,191,154,135,156,145,136,124,93,50,11,16,42,24,5,37,171,167,166,164,162,159,159,160,188,189,189,188,187,192,153,136,145,135,135,126,94,38,1,20,16,14,5,87,183,166,166,163,161,165,159,136,188,189,189,189,188,193,151,137,139,134,138,136,84,20,0,0,6,22,10,134,180,167,166,172,170,127,84,96,187,188,188,188,187,192,151,134,137,147,151,125,65,29,7,11,26,22,35,172,171,176,172,123,78,30,88,104,195,196,197,198,195,201,149,128,140,154,146,106,61,37,13,16,34,9,97,193,173,140,77,12,7,8,96,116,131,137,140,144,150,158,127,128,147,155,139,96,55,39,17,16,19,33,166,140,73,22,3,5,3,0,73,129,62,62,60,60,63,60,101,136,144,147,128,87,52,36,15,13,16,39,60,21,0,14,0,3,0,0,27,129,80,80,82,80,76,74,117,136,138,132,107,75,43,29,13,7,18,15,17,1,0,15,0,0,0,0,0,73
4,119,126,133,136,140,145,148,151,154,156,159,162,164,167,170,171,171,171,174,178,177,178,180,181,181,181,181,182,120,127,134,138,140,144,148,152,154,157,158,161,165,169,168,168,173,177,175,174,180,179,181,182,182,182,182,183,122,129,134,138,143,147,149,152,154,158,160,164,161,169,173,174,169,161,174,180,177,184,183,183,184,184,183,183,123,130,135,140,144,148,152,154,156,158,155,170,183,161,152,198,173,114,92,155,136,127,184,185,184,185,186,186,124,131,136,140,145,149,154,153,157,179,153,141,172,169,102,156,163,108,53,95,129,76,123,196,183,187,187,187,123,131,136,140,146,151,156,149,181,213,184,147,103,114,93,122,160,95,47,129,130,80,69,193,189,189,190,190,125,132,138,141,147,152,153,154,209,173,186,137,93,59,67,137,180,88,103,154,104,53,51,185,190,188,191,190,128,133,139,142,147,153,147,171,195,137,180,104,66,64,60,103,148,142,167,139,111,40,69,193,189,191,192,192,127,134,139,144,149,154,147,189,189,149,167,106,59,82,102,106,143,165,141,149,141,97,94,204,190,193,194,194,125,134,141,145,148,154,152,205,178,157,147,123,39,109,178,149,147,139,120,175,157,140,110,180,197,192,196,197,127,135,142,146,150,152,165,201,149,121,107,83,30,58,136,124,124,84,95,185,176,167,127,105,195,197,197,197,127,135,142,146,153,147,187,201,152,123,101,67,42,32,46,65,66,81,132,161,179,170,149,97,126,206,196,198,128,136,142,148,155,151,212,194,157,138,110,83,59,46,48,58,113,188,181,164,159,138,137,123,76,176,205,198,129,138,142,149,150,161,224,191,172,144,104,83,66,58,106,171,203,202,175,158,140,111,112,115,75,158,210,198,131,138,143,150,146,184,232,196,171,133,108,102,72,108,186,204,202,199,173,149,127,99,88,91,85,192,202,201,131,138,146,151,147,202,234,196,161,135,130,112,102,171,189,193,199,187,164,137,114,91,83,68,146,210,199,201,132,138,144,152,145,210,230,188,167,160,149,123,151,180,188,192,187,173,148,123,104,86,70,94,200,199,204,204,132,139,145,154,148,214,230,197,183,173,152,142,173,183,193,187,167,154,131,111,96,81,63,170,209,199,205,206,134,140,146,152,147,205,230,207,193,173,151,138,165,182,180,172,152,139,119,99,89,62,115,212,201,202,207,207,134,141,147,152,148,191,227,204,192,173,146,128,153,167,165,156,137,126,107,89,74,74,190,208,203,203,206,206,135,142,148,154,153,178,221,192,172,159,138,136,152,164,163,148,124,112,95,79,61,165,210,204,206,207,206,207,136,142,149,155,155,175,209,171,163,154,145,153,144,152,153,138,118,101,87,57,133,211,204,205,206,208,208,208,136,142,147,157,153,172,205,169,174,163,173,169,139,136,145,127,104,95,65,96,205,201,206,206,207,208,208,208,138,143,149,155,156,185,205,186,178,173,168,157,133,119,133,116,95,84,62,178,206,204,208,208,208,209,209,209,138,144,150,150,190,210,177,171,186,178,157,140,124,109,117,105,93,60,111,211,201,206,207,207,209,209,209,209,138,145,145,168,215,200,205,129,138,179,147,130,119,99,100,96,90,50,134,214,201,206,208,208,209,209,210,211,139,146,149,206,203,199,205,202,110,114,132,126,108,81,94,87,82,51,142,215,202,206,208,210,210,210,211,212,142,138,183,214,192,203,202,201,203,99,86,115,96,79,88,80,78,48,149,214,204,207,207,210,211,212,212,213
12,195,196,197,199,201,201,202,203,203,203,203,204,204,205,205,205,205,206,206,205,205,205,206,205,205,204,203,203,197,199,200,200,201,202,203,205,204,205,205,205,205,206,206,208,207,208,208,207,207,207,207,206,206,205,204,204,199,200,201,202,203,203,204,207,206,205,205,207,208,211,209,200,207,208,209,209,209,207,208,208,207,207,207,206,200,202,203,204,205,206,206,207,206,211,218,208,204,231,220,181,167,213,213,193,204,209,208,209,209,208,209,208,201,202,203,206,207,208,207,207,211,247,240,205,183,239,226,173,120,201,217,172,159,211,211,210,210,209,210,209,202,203,205,207,208,209,208,206,216,255,245,202,178,242,224,183,117,205,203,164,119,195,215,210,211,210,210,210,203,205,207,208,208,210,208,208,222,247,242,206,172,244,221,191,144,217,195,145,108,170,220,212,213,212,213,213,204,207,208,208,209,208,219,238,207,204,229,229,161,229,236,182,159,222,201,143,100,156,220,214,214,213,213,213,205,207,209,210,211,209,246,243,202,160,195,201,141,204,222,146,160,228,178,127,96,149,220,215,215,215,215,214,207,209,210,211,210,223,255,246,218,159,167,159,105,126,143,121,170,190,132,103,99,145,223,216,217,216,215,214,208,210,211,211,210,236,250,247,223,180,141,148,103,90,95,186,216,197,153,143,136,152,225,218,218,217,216,215,210,211,213,213,211,242,229,237,229,194,151,107,124,113,184,246,244,223,190,181,164,159,225,219,219,217,217,217,210,212,213,213,215,251,245,218,221,198,158,111,112,165,255,253,243,224,197,173,150,139,223,221,220,218,218,218,212,214,215,213,226,255,248,211,206,200,170,134,103,229,255,251,241,224,198,165,137,138,225,222,222,220,219,220,213,215,217,214,227,255,251,232,195,190,200,175,140,255,254,251,241,222,187,159,131,138,227,222,223,222,221,221,213,215,217,217,221,255,253,233,204,179,180,196,218,255,252,250,241,215,185,157,133,125,223,225,223,223,222,221,214,216,217,216,223,255,254,241,225,216,190,228,245,255,247,246,240,210,189,152,128,123,224,227,224,223,223,222,216,217,218,217,227,255,255,249,238,233,214,227,236,255,244,240,233,214,183,146,118,145,231,226,226,225,225,225,216,217,219,220,225,255,255,253,244,234,221,226,225,249,239,229,221,212,170,135,109,193,231,226,227,226,226,225,217,218,220,222,222,252,255,254,246,229,215,224,226,241,232,220,217,199,154,119,130,229,229,227,227,227,227,227,218,219,221,224,222,243,255,251,243,223,211,218,224,236,230,219,207,179,137,104,191,234,229,228,228,227,228,227,220,222,224,227,223,241,253,234,227,217,211,219,224,239,228,210,190,157,111,139,233,231,231,229,228,228,229,228,209,198,187,179,164,158,157,138,131,130,124,128,120,121,116,111,111,105,89,191,241,233,232,231,231,230,231,230,154,145,139,136,119,107,105,99,89,81,76,73,60,57,58,55,52,52,54,79,132,219,233,231,230,230,229,229,150,138,139,131,120,111,106,100,91,83,79,72,62,59,58,56,52,50,48,45,40,202,234,230,230,229,228,228,173,135,138,132,120,112,103,98,90,82,78,70,61,60,60,58,51,48,48,38,117,238,231,231,230,229,229,229,192,137,137,128,119,112,101,96,88,81,76,69,62,61,60,57,51,45,46,38,194,240,233,233,231,231,232,231,203,139,135,129,122,112,104,95,88,78,73,70,62,61,59,56,51,46,47,52,220,237,235,235,233,232,232,232
22,134,137,140,144,147,150,153,156,159,162,164,165,166,167,168,169,170,171,169,170,170,171,172,172,172,171,172,171,137,140,143,146,149,152,156,159,161,164,166,166,166,169,171,172,171,170,172,173,173,174,175,175,175,174,174,174,139,143,146,149,152,155,159,162,165,167,169,164,147,164,175,176,168,150,168,174,169,172,178,179,178,178,178,177,141,145,148,152,155,158,161,165,168,170,173,156,122,155,178,182,167,126,160,177,152,149,178,181,181,181,181,180,144,147,151,154,157,161,164,168,171,173,177,151,110,153,181,188,168,125,163,182,146,130,176,184,183,183,184,184,146,150,153,157,160,164,167,171,173,176,180,150,107,154,183,192,167,130,169,184,145,126,175,186,186,186,187,187,149,152,156,159,162,166,170,173,176,178,184,157,110,155,186,191,160,131,173,187,150,130,178,189,189,189,189,189,151,154,158,161,165,169,172,176,180,181,188,165,112,152,187,187,150,129,176,188,150,134,181,192,192,191,191,190,153,157,160,164,168,171,175,179,182,184,192,170,114,151,188,178,139,128,178,188,150,136,185,194,194,194,194,193,155,158,162,166,170,173,176,180,184,186,195,179,124,146,181,164,133,128,182,190,150,140,188,195,195,195,196,196,156,160,164,167,171,174,178,182,185,188,195,190,148,135,142,145,134,133,187,192,148,145,192,197,197,198,198,198,158,161,165,169,172,176,180,183,187,189,196,194,169,146,133,132,129,141,191,188,143,152,196,199,199,200,200,200,159,163,167,171,174,178,181,185,189,191,200,204,185,170,167,150,122,137,184,177,137,160,200,201,201,201,202,202,161,165,169,172,176,179,183,187,190,194,194,188,178,152,171,166,126,113,148,149,126,169,202,202,202,203,203,203,163,167,171,174,178,181,185,189,192,196,190,171,160,115,126,162,146,108,104,111,113,175,203,204,203,204,204,204,164,168,172,176,180,182,186,190,193,200,194,165,151,111,85,139,169,134,96,87,109,183,206,205,205,205,206,206,165,169,173,176,180,184,188,191,195,204,193,157,137,113,84,122,183,163,116,87,111,189,207,207,207,208,207,207,166,170,173,177,181,185,189,192,196,209,197,157,123,105,104,155,196,174,133,101,114,191,209,209,209,209,208,208,167,171,174,178,182,185,189,193,198,211,195,154,126,120,139,194,199,165,131,103,118,194,210,210,210,210,210,209,168,172,176,179,183,187,190,194,199,208,190,156,139,133,166,204,188,152,117,95,127,199,211,211,211,212,212,212,169,173,177,181,184,188,192,195,199,205,187,156,145,139,181,204,175,139,108,92,141,206,213,213,213,215,215,215,169,173,177,181,184,188,192,195,198,201,185,158,152,147,188,202,165,129,101,92,149,210,215,215,216,216,216,216,169,173,177,181,184,188,192,196,198,197,185,163,162,151,184,190,156,122,96,91,158,212,215,216,216,217,217,217,169,173,177,181,184,188,192,196,198,196,186,168,164,150,173,174,143,116,92,94,169,213,215,216,216,216,217,217,170,174,178,182,185,189,193,196,198,198,189,169,156,141,159,156,131,112,92,105,182,213,215,216,216,216,217,216,170,174,178,182,186,189,193,197,198,198,190,164,142,132,149,140,125,110,95,132,199,215,216,216,217,217,217,216,170,174,178,182,186,190,193,196,196,199,193,168,146,141,150,133,125,104,103,169,211,216,216,217,217,217,217,216,170,174,178,182,186,190,193,196,195,201,198,177,159,149,150,129,123,97,125,196,215,216,217,217,217,217,217,217
6,206,208,209,211,212,211,211,212,213,214,214,214,214,214,214,214,214,213,212,210,210,209,208,207,205,204,202,202,208,209,210,212,213,213,213,213,213,215,216,216,215,215,215,215,215,215,214,212,211,211,210,208,207,206,206,206,209,209,212,213,214,215,215,215,215,216,216,215,214,217,218,218,217,216,216,215,214,214,211,211,210,207,208,207,211,212,214,214,215,217,217,216,215,216,216,216,217,218,218,217,217,216,216,215,215,214,213,213,211,210,209,207,214,214,215,216,217,217,218,218,218,217,218,218,218,220,220,220,220,220,219,218,216,216,213,214,212,211,209,207,215,216,216,218,219,218,219,220,220,220,221,221,220,220,220,220,221,221,220,220,217,217,216,215,215,214,212,212,215,216,219,220,220,221,222,222,221,220,222,223,222,222,222,223,222,223,222,221,219,218,216,215,214,214,212,213,217,219,220,219,220,223,223,223,223,223,224,224,224,224,223,223,223,223,224,224,220,219,219,218,217,216,215,215,218,220,221,221,221,224,223,224,224,224,225,225,223,223,224,224,223,222,223,222,220,219,219,218,215,215,213,215,221,221,223,222,223,224,224,226,227,230,231,226,217,200,208,219,222,218,218,219,218,211,213,211,207,214,201,234,220,222,224,225,226,229,229,230,224,223,224,222,213,191,164,197,212,217,217,215,202,205,204,204,204,206,195,206,226,229,228,226,223,223,222,220,214,215,218,218,222,208,149,141,154,166,171,173,174,169,168,171,172,173,175,180,240,236,228,217,215,215,214,211,204,206,203,198,195,176,147,135,121,122,162,178,190,196,202,210,215,215,217,221,238,234,227,215,209,204,197,197,199,197,191,189,191,167,136,133,140,138,178,230,232,230,229,229,227,225,225,218,235,230,224,213,202,194,193,194,195,195,196,204,216,196,140,118,130,147,136,159,219,231,228,229,228,229,210,155,230,224,217,211,199,189,183,182,188,195,203,205,203,186,152,137,132,133,141,135,157,231,231,230,228,229,155,128,225,219,216,215,203,193,185,182,184,188,196,210,193,163,153,153,150,141,131,133,140,224,231,229,232,212,135,131,222,215,214,212,205,198,191,187,187,184,185,198,204,168,130,135,160,160,146,125,164,234,231,234,207,141,122,107,211,209,208,207,205,203,196,190,190,190,192,206,199,164,139,125,135,155,160,140,160,224,195,180,143,114,107,93,151,164,182,201,210,211,205,197,193,190,190,201,198,168,148,152,146,134,140,147,140,147,130,120,110,101,91,85,72,76,99,150,208,211,205,199,195,190,185,179,182,168,166,168,159,149,140,121,115,116,124,119,108,98,85,79,65,59,55,62,132,198,189,178,174,170,168,156,150,135,138,159,165,163,147,114,85,94,110,104,100,97,92,81,58,53,53,54,53,110,183,188,193,200,209,215,150,110,110,129,154,147,133,119,87,76,96,96,92,93,97,86,52,48,45,44,43,167,223,224,227,230,231,233,210,168,159,152,147,103,123,116,83,70,75,89,87,86,93,92,48,42,39,33,67,149,146,149,150,151,154,157,160,161,163,159,134,86,115,114,79,63,67,78,80,82,89,92,43,40,37,35,61,131,128,127,128,127,130,131,128,127,144,148,119,76,109,105,75,59,68,71,74,76,82,87,45,43,43,31,65,141,137,136,136,136,133,134,137,143,129,119,106,77,99,96,73,56,62,69,70,71,76,82,52,49,40,23,89,142,137,137,139,139,136,136,136,124,110,96,93,82,90,92,70,58,58,65,65,68,72,78
21,171,174,177,177,178,179,179,179,180,180,180,174,177,180,177,175,173,172,171,171,168,165,163,162,162,160,159,156,172,176,178,179,179,180,181,182,182,181,186,156,126,180,179,177,175,174,173,173,171,169,166,167,163,163,161,158,173,177,180,180,181,182,183,184,184,184,184,165,109,142,189,177,179,178,175,175,173,171,166,152,165,165,162,161,175,177,180,182,184,185,185,187,186,186,186,176,133,97,183,182,180,180,178,177,176,174,164,102,135,173,164,163,177,179,181,183,185,186,187,188,188,187,188,184,151,85,158,190,180,181,181,179,175,177,155,91,128,177,165,165,178,182,184,185,186,187,188,189,188,191,191,189,170,110,126,194,183,184,183,182,178,177,144,86,145,175,168,167,180,183,186,186,187,188,190,190,190,193,192,192,184,129,102,187,187,186,184,183,182,172,125,88,166,173,169,167,182,185,187,188,190,191,193,192,192,193,194,193,194,140,88,171,191,185,185,185,183,167,115,104,180,171,172,170,183,187,189,189,190,193,194,194,194,195,195,194,195,159,97,149,197,186,187,186,176,149,95,129,183,173,174,171,185,188,189,192,191,192,193,194,194,197,197,195,189,177,123,124,199,186,188,186,166,131,76,161,182,174,173,171,185,187,190,192,192,193,194,195,195,198,199,197,193,189,153,109,177,198,191,188,168,114,93,184,177,178,175,173,186,188,190,193,194,195,196,196,197,199,200,199,196,195,188,141,123,167,179,169,151,94,135,190,177,178,177,175,187,189,191,194,196,196,198,199,199,200,200,200,196,143,147,159,118,116,119,128,101,78,169,186,180,180,178,177,188,189,192,195,196,198,198,200,201,201,201,202,192,131,94,137,133,126,132,136,74,95,194,183,182,181,180,178,188,191,193,195,196,198,200,201,201,201,201,203,174,158,113,111,134,115,121,119,77,103,196,183,183,182,181,178,189,192,195,196,197,200,202,202,202,202,203,179,130,154,125,94,116,71,107,140,96,74,184,187,184,183,182,179,189,193,195,198,200,201,203,203,203,203,202,176,123,131,127,72,86,60,91,148,117,67,136,196,182,183,182,180,191,194,196,199,201,202,203,204,204,204,201,181,129,110,109,57,85,86,146,158,145,83,83,192,184,183,182,181,191,195,198,200,201,203,204,204,207,206,196,165,130,100,92,57,88,132,181,162,135,82,79,190,185,185,183,181,192,195,198,201,202,203,205,206,207,206,194,178,158,113,79,67,112,181,169,145,119,65,95,197,185,186,184,182,193,195,198,200,202,204,205,205,206,207,194,183,164,124,101,100,171,188,156,128,115,58,121,200,185,187,185,182,194,196,199,201,203,204,205,207,207,208,192,179,164,133,101,105,176,174,155,129,110,60,144,200,186,186,184,182,193,196,199,201,202,204,205,207,207,209,191,167,157,131,103,105,165,169,146,123,96,59,165,197,188,187,185,183,193,197,201,202,204,205,206,207,208,209,195,164,161,139,116,106,157,162,138,110,76,66,190,192,190,188,186,184,194,195,200,203,204,205,207,208,208,209,206,175,162,144,121,95,137,138,114,93,51,99,204,189,190,188,185,184,193,194,197,200,201,203,205,206,206,206,207,188,172,149,119,97,113,121,100,81,41,148,200,188,188,186,185,183,192,195,197,200,202,204,204,206,207,207,206,193,173,148,121,109,105,114,112,65,73,194,190,189,187,185,184,183,193,195,198,201,203,204,205,206,206,207,204,194,177,152,137,131,115,116,106,52,134,204,189,190,187,186,184,182
16,193,194,196,196,196,196,197,198,198,198,197,198,199,199,199,198,199,199,200,201,199,199,200,200,200,200,200,197,194,195,196,197,198,197,198,200,199,199,199,200,200,199,200,201,200,201,201,202,201,201,201,201,201,201,200,199,195,196,197,199,199,198,198,199,200,200,200,200,200,199,182,175,172,184,202,203,203,202,201,201,200,201,201,200,196,196,197,199,199,199,199,200,200,197,191,188,202,208,175,154,143,125,145,186,202,203,202,201,202,202,201,201,195,197,198,199,199,201,201,200,203,196,178,183,212,213,189,170,152,121,94,103,150,193,204,202,202,202,201,201,196,197,199,200,201,200,195,188,216,210,186,196,217,206,193,179,154,111,101,87,86,117,180,204,202,203,203,202,199,199,199,200,200,209,197,191,209,207,192,200,216,194,182,171,146,99,102,91,86,84,107,178,207,204,204,203,199,200,200,201,200,217,207,192,203,204,200,196,206,182,175,161,133,94,92,86,86,86,81,102,186,206,205,204,198,198,200,200,200,206,204,191,201,208,206,198,204,184,172,153,118,89,82,80,83,87,84,77,125,205,207,206,197,198,200,202,206,200,204,203,198,207,208,202,213,196,174,143,107,83,72,76,84,86,84,80,86,187,208,206,197,198,198,207,206,198,205,213,203,203,208,204,213,199,171,132,98,74,60,75,86,90,90,81,80,173,207,204,198,199,199,202,205,204,201,211,204,201,212,210,209,197,162,118,87,54,54,74,87,95,98,86,85,186,206,204,200,200,200,200,205,212,208,211,211,183,212,216,208,198,158,104,63,26,48,68,81,99,96,87,93,192,205,206,202,201,201,200,205,213,215,193,193,188,204,215,210,198,151,93,42,16,38,57,77,107,92,83,102,197,207,207,200,200,201,201,202,203,215,184,167,195,201,210,214,196,144,86,41,18,26,49,87,116,91,82,119,203,207,207,199,200,201,202,201,195,198,212,197,187,198,211,218,192,140,82,52,38,30,55,112,123,94,81,124,205,207,208,198,199,201,202,202,200,184,195,205,192,196,212,220,188,135,81,65,65,56,78,139,143,109,79,122,205,208,207,154,158,161,164,168,171,167,169,190,173,172,198,217,185,127,80,74,75,66,95,158,168,136,85,123,204,208,210,101,103,103,102,105,107,107,110,135,117,113,177,216,184,118,82,81,82,77,107,161,178,161,110,107,179,218,233,102,102,101,99,100,100,100,99,101,102,95,167,217,186,113,108,96,88,85,111,156,179,178,147,125,201,230,243,101,102,102,101,101,102,102,103,103,104,97,153,217,188,113,154,125,105,94,98,140,169,179,161,128,194,228,234,101,101,101,103,102,103,103,103,104,105,99,131,211,187,119,180,152,124,111,94,107,151,162,145,105,170,219,210,100,100,100,102,102,103,103,103,105,106,102,121,219,181,130,201,176,145,129,109,87,106,133,116,124,179,180,198,100,100,100,101,102,102,102,103,104,105,103,116,211,155,159,214,191,163,145,123,96,82,90,85,166,206,161,177,99,101,100,101,101,101,102,104,104,104,104,107,139,149,207,218,198,173,155,134,105,84,82,76,175,229,197,167,99,101,101,102,101,100,101,104,103,103,103,103,99,167,220,220,205,180,162,143,113,86,83,78,171,235,218,199,100,101,101,103,101,99,100,102,102,102,103,102,100,160,213,217,208,186,166,147,120,90,82,77,157,235,217,192,99,99,101,105,101,99,99,101,102,102,103,103,101,157,210,215,207,186,167,150,125,96,84,78,147,233,223,177
12,209,209,211,212,213,215,216,215,215,214,214,214,214,213,213,211,212,212,211,210,211,209,209,209,207,206,206,205,210,210,211,213,214,216,216,216,216,217,216,216,215,215,216,217,216,212,213,212,210,210,210,209,208,207,208,207,211,211,211,214,216,216,216,217,218,218,217,219,216,216,206,192,207,215,207,209,220,213,210,209,210,210,210,209,211,212,213,216,217,217,218,218,218,218,218,218,216,213,186,149,125,199,180,146,153,209,216,212,208,210,210,210,212,213,216,216,217,218,218,219,220,220,217,217,220,194,166,139,124,183,160,140,84,158,206,206,217,210,211,210,213,215,216,217,219,218,219,220,218,219,210,175,201,196,182,116,158,201,165,136,123,176,159,123,169,219,210,210,214,216,215,218,220,220,219,220,220,225,213,163,185,228,184,112,193,214,168,140,153,163,145,113,91,173,219,210,215,216,216,219,219,221,221,219,228,238,216,173,169,217,158,109,216,213,152,143,194,177,145,118,96,111,218,211,216,217,218,219,220,222,223,219,234,224,209,170,124,130,132,90,149,167,105,157,226,177,161,113,82,104,214,213,217,218,219,219,222,223,221,226,243,221,187,153,127,74,65,112,155,173,150,192,225,172,132,90,80,110,216,212,217,219,219,220,222,222,225,238,221,212,168,140,121,67,128,211,217,206,194,207,169,128,108,107,88,111,222,213,218,219,221,222,223,220,237,239,208,178,167,182,117,151,227,218,206,198,182,192,192,142,143,138,100,140,225,213,219,220,222,222,223,223,247,235,213,191,166,188,178,236,227,210,202,207,188,188,187,153,125,127,92,187,223,214,219,222,222,223,224,228,248,239,224,220,192,194,217,222,227,207,210,201,179,189,171,136,111,101,94,213,218,215,220,222,224,224,224,230,247,243,230,219,209,199,210,212,216,207,206,192,186,183,154,120,105,84,118,228,215,217,221,223,225,226,226,230,246,244,231,213,198,197,201,208,213,206,202,188,183,160,131,106,101,74,150,231,215,218,221,222,224,225,225,229,244,241,218,198,194,202,201,212,217,205,194,182,162,133,111,99,95,69,179,231,219,218,220,223,225,225,226,229,231,224,213,211,209,204,204,222,211,195,177,168,146,119,106,98,78,98,220,223,220,218,222,224,224,227,227,233,240,241,236,229,216,199,201,220,200,177,158,151,128,112,106,78,84,198,227,220,221,221,223,224,225,227,226,240,246,242,234,221,210,199,197,211,189,162,147,132,118,105,78,103,199,228,220,222,221,221,223,225,226,226,229,245,245,240,230,212,202,199,201,197,175,154,135,121,97,88,152,220,230,223,223,223,224,222,221,224,226,224,232,247,240,232,223,210,197,197,200,188,167,141,117,91,98,195,234,225,224,224,224,223,223,221,228,224,224,221,239,238,229,218,217,208,189,194,190,169,153,135,100,87,198,233,223,225,223,223,223,222,221,219,187,223,230,225,237,221,216,209,207,197,197,193,182,158,136,120,89,167,231,223,226,225,224,223,223,222,222,221,105,108,165,242,225,207,199,196,196,204,196,183,175,148,128,101,104,218,228,228,226,226,225,223,223,223,222,222,114,98,93,191,216,198,189,196,205,208,185,171,165,138,119,83,146,236,228,228,228,226,225,224,224,223,223,222,105,107,108,92,110,123,120,128,144,160,157,157,150,127,106,81,194,235,227,229,228,227,226,224,223,223,224,221,104,101,107,95,47,66,71,68,66,68,74,91,108,108,80,111,221,229,228,228,228,227,226,224,223,223,222,222
23,127,130,132,135,138,139,141,144,145,147,147,149,149,150,151,152,153,153,155,155,156,158,158,158,158,159,159,159,127,131,134,136,139,141,142,144,145,147,148,149,150,152,153,154,154,155,157,159,158,159,159,159,160,159,159,161,128,132,134,136,140,141,142,144,146,147,148,150,152,153,151,154,149,152,155,139,155,160,160,161,161,160,162,161,129,131,135,138,141,142,143,145,147,147,149,151,151,151,158,158,147,139,121,91,155,162,161,163,161,162,163,162,131,133,135,138,141,142,144,147,148,149,151,150,152,159,163,146,107,106,100,135,164,160,162,163,163,163,163,163,131,134,136,139,141,142,145,147,147,151,149,157,167,151,142,101,106,143,160,166,162,162,164,163,164,164,164,164,131,134,137,139,142,143,145,148,149,151,147,168,172,126,93,122,163,118,143,165,161,164,165,164,165,165,165,165,132,134,138,140,142,144,145,147,149,152,149,170,174,133,142,182,154,116,117,171,164,164,165,165,165,166,166,167,131,135,138,140,143,144,145,148,150,153,152,174,170,168,180,160,140,147,128,142,152,165,165,165,166,167,167,167,132,136,138,141,143,144,146,150,151,152,154,172,165,172,163,162,163,155,126,87,96,153,168,166,167,167,167,168,133,136,139,142,143,145,148,151,152,152,156,161,157,160,162,158,152,146,112,77,69,119,177,167,167,168,168,167,133,137,139,142,144,145,147,150,151,160,163,153,150,158,156,152,149,135,102,78,73,84,132,171,167,167,167,167,132,136,140,142,144,146,148,150,153,182,169,155,159,150,144,136,119,120,105,79,68,86,84,138,174,167,168,167,133,136,140,143,145,146,148,151,151,177,178,167,161,138,114,81,81,132,104,77,61,86,86,132,175,167,169,168,133,136,140,142,145,147,148,152,152,171,175,162,150,138,114,70,85,133,100,74,74,92,96,164,171,169,169,169,133,137,140,144,146,147,148,151,152,172,176,156,168,135,81,63,105,97,68,67,93,95,124,175,169,170,170,171,133,137,141,144,146,146,149,151,151,172,172,164,161,126,85,53,67,49,60,76,99,98,160,171,169,170,170,170,134,137,141,143,145,147,149,152,152,171,169,169,159,126,96,47,46,65,86,94,91,120,175,168,170,170,170,170,135,139,141,143,146,147,150,152,153,173,169,170,158,124,101,61,61,88,101,105,91,151,174,170,171,171,170,170,136,138,142,144,147,148,151,152,155,173,171,169,153,124,102,67,73,97,104,98,114,175,169,171,171,171,170,171,136,138,142,145,147,148,150,152,156,174,169,162,147,121,101,72,78,101,105,91,139,177,169,172,172,172,171,172,135,138,142,146,146,149,152,152,159,174,160,155,143,119,101,83,80,102,101,92,162,172,170,171,172,172,172,172,135,139,142,146,146,148,151,152,159,172,158,152,139,121,106,89,83,100,91,115,176,170,172,172,172,173,173,174,136,139,142,146,147,148,152,152,162,172,159,155,140,125,111,93,86,93,91,159,173,172,172,173,173,174,174,174,136,139,143,146,146,148,153,151,166,173,159,152,140,129,109,93,88,83,136,175,170,172,172,173,174,174,174,174,136,139,143,146,148,150,152,153,172,168,157,147,138,125,99,94,83,130,175,170,172,172,172,173,174,175,175,174,136,139,143,146,148,152,150,164,174,163,155,140,125,113,99,86,114,176,170,172,172,172,172,173,174,175,175,174,136,140,144,146,147,151,149,171,168,162,151,135,119,112,98,85,158,174,170,172,172,172,174,173,174,175,175,175
1,166,168,170,172,173,174,175,176,177,178,178,178,178,177,175,175,177,179,179,178,178,178,178,178,178,178,177,177,168,170,172,174,175,177,177,178,179,179,179,180,180,181,168,155,175,180,180,180,179,179,180,180,181,180,178,178,171,173,175,177,178,179,179,179,181,181,181,182,175,178,166,128,166,181,181,181,181,182,182,182,183,182,181,180,174,175,177,179,180,181,181,181,183,184,185,190,166,158,165,119,145,163,175,183,184,185,185,185,185,184,183,183,176,177,179,181,182,183,184,184,185,186,187,193,163,151,167,120,124,135,149,183,186,187,187,187,187,186,185,185,178,179,181,183,184,185,186,187,187,187,187,195,166,152,177,135,125,137,129,177,188,188,188,188,188,188,187,187,180,181,183,185,186,187,188,188,189,186,175,191,173,149,179,148,128,145,125,167,190,191,191,190,190,189,189,188,181,183,185,186,187,188,190,191,192,187,152,172,178,144,173,155,136,160,138,155,189,193,193,193,193,192,191,190,183,185,186,188,189,191,192,193,195,189,144,163,178,142,167,162,144,173,154,144,186,195,195,195,194,194,193,192,184,186,188,189,191,193,194,194,198,193,147,165,181,145,168,170,144,167,168,140,176,197,197,196,195,195,194,194,186,187,189,191,193,194,196,196,200,193,149,171,192,153,162,176,141,158,177,143,163,197,198,198,197,197,197,196,187,189,190,192,194,196,197,198,201,190,148,165,191,145,143,170,137,154,185,150,149,194,200,200,199,199,198,197,188,190,192,194,195,197,198,199,203,191,151,146,179,137,135,162,139,150,180,153,140,189,201,201,201,200,200,199,189,191,193,195,196,197,199,200,206,192,147,131,171,167,153,157,164,166,158,141,130,179,203,202,202,201,201,200,190,192,194,196,198,198,199,201,206,189,155,145,155,181,168,170,183,168,145,135,122,160,201,203,203,203,203,202,192,193,195,197,199,199,200,202,204,191,175,162,141,170,184,196,193,177,149,133,117,135,195,206,205,205,204,203,192,194,196,198,199,200,201,203,205,187,171,158,143,171,195,195,184,195,182,150,119,117,183,207,206,206,206,205,192,194,196,198,199,200,201,206,209,184,159,152,161,173,173,161,157,200,210,186,144,114,169,207,207,207,207,206,191,193,195,197,199,199,201,207,216,189,154,147,146,144,141,143,165,197,208,191,159,127,159,206,208,207,207,206,191,193,195,196,198,199,201,208,223,200,156,145,145,148,162,184,204,202,195,178,146,120,147,203,208,207,207,206,192,194,196,197,199,199,200,207,225,212,165,153,161,167,198,217,219,208,189,167,133,103,141,202,208,207,207,207,193,194,196,199,200,200,201,207,225,223,181,164,172,172,204,225,225,211,185,157,125,96,139,203,208,208,207,207,192,194,196,199,200,201,202,205,222,226,194,177,184,173,202,228,228,210,178,147,117,98,150,206,209,209,208,208,193,194,196,199,201,202,202,203,216,225,206,191,192,174,193,227,227,202,170,139,110,103,170,209,210,210,209,209,190,192,194,197,199,200,201,201,209,222,216,202,193,177,181,222,221,194,162,131,103,110,186,211,212,211,210,209,156,159,163,167,169,171,174,176,185,215,222,209,190,174,168,209,211,183,152,123,100,120,190,207,208,208,208,210,105,108,110,112,113,115,118,119,132,194,218,203,184,168,160,190,196,171,141,117,102,113,151,161,166,177,194,209,97,99,100,101,102,102,103,103,111,175,209,195,179,166,157,177,185,165,134,115,103,101,107,112,134,171,193,204
8,143,148,151,154,156,159,161,163,164,165,167,168,168,169,170,169,169,169,169,167,166,166,166,164,163,163,162,161,145,150,153,155,157,160,162,165,166,169,170,170,170,172,172,171,171,170,170,170,170,168,167,167,166,165,163,162,146,151,154,156,160,161,164,167,167,170,171,172,173,173,174,173,173,172,172,172,172,170,169,169,168,166,166,166,147,152,155,159,162,163,165,169,172,172,173,174,175,175,175,175,174,174,174,174,175,172,171,170,169,168,168,167,149,154,156,161,163,164,174,157,153,178,175,175,176,176,176,176,176,175,176,176,175,175,173,172,171,171,169,169,150,155,159,162,165,164,186,152,110,176,177,178,178,178,178,178,178,178,178,177,176,175,175,176,175,173,172,170,152,157,161,163,167,164,185,163,94,160,182,178,180,180,180,180,180,180,179,178,178,176,176,176,175,174,172,171,153,156,160,164,167,166,182,180,94,145,186,180,182,181,180,182,182,181,181,180,180,180,178,177,176,175,175,175,154,157,161,166,168,169,175,178,99,127,190,181,183,184,186,182,182,183,186,181,180,180,180,179,177,176,176,175,156,159,163,167,170,173,173,191,137,110,187,184,182,166,161,186,183,154,149,188,184,186,180,181,181,179,177,175,155,160,164,167,170,174,173,195,156,93,169,186,199,182,136,155,202,159,105,146,155,153,184,181,182,181,179,178,157,161,164,168,170,175,174,189,163,114,138,191,214,211,162,108,194,169,160,113,114,107,130,191,181,181,181,181,159,162,166,170,172,177,177,187,190,148,129,179,208,218,185,106,152,172,169,156,132,129,99,167,186,181,182,181,159,164,167,170,174,179,181,182,196,145,140,171,176,207,189,117,118,166,133,178,179,181,166,106,165,188,181,181,162,166,169,172,176,179,182,182,193,176,162,190,178,179,190,123,92,148,89,147,176,181,174,102,136,195,181,183,162,166,170,174,177,180,183,181,202,210,158,157,173,156,188,144,89,116,92,102,153,183,173,105,130,197,183,184,163,167,172,176,178,181,184,181,202,188,131,135,146,128,168,197,121,88,86,98,174,200,184,107,125,198,183,185,164,169,173,176,178,180,185,184,198,199,156,133,127,120,139,157,114,101,79,105,181,204,184,109,126,198,185,188,163,168,173,177,180,181,185,184,202,215,177,138,126,129,114,146,158,116,98,154,183,206,175,105,112,198,187,189,165,169,175,178,181,181,186,183,207,212,179,150,120,110,118,177,186,162,172,192,177,179,146,97,96,194,188,188,167,171,176,178,182,183,188,185,210,212,185,166,141,110,122,171,193,213,205,186,163,141,122,83,118,198,187,189,167,172,176,178,183,185,188,186,212,211,188,174,155,122,116,166,213,217,208,183,151,116,98,74,171,195,189,189,167,172,177,180,184,187,189,186,209,213,194,176,166,136,130,175,218,212,193,170,138,101,68,118,200,190,191,190,167,172,176,180,182,185,189,189,203,216,201,185,177,148,133,190,213,195,171,149,119,86,72,181,196,193,192,190,166,170,175,177,181,184,188,188,196,214,205,189,180,157,136,190,201,176,154,127,105,67,124,201,190,192,191,189,167,171,176,179,182,185,189,189,194,215,209,191,175,148,133,179,180,164,147,117,88,74,187,195,193,190,191,190,168,171,176,181,182,185,188,190,195,218,202,181,159,129,135,172,155,142,135,112,64,140,204,192,194,192,192,191,168,173,177,181,183,185,189,186,197,219,195,177,145,136,144,163,144,127,123,89,94,198,195,194,194,193,193,191
15,206,181,183,164,122,206,100,50,112,110,111,115,120,123,135,150,165,177,180,184,192,199,204,208,211,214,218,221,206,182,191,156,133,209,85,58,114,111,113,116,120,123,136,153,167,178,182,188,195,202,207,210,214,218,220,224,207,187,199,146,150,209,70,70,116,111,115,119,122,123,139,155,170,181,185,190,197,205,210,213,218,221,224,227,205,190,203,140,166,202,60,83,117,111,115,119,120,125,141,158,173,183,187,192,199,208,213,217,221,225,227,230,205,191,204,129,185,191,41,89,114,110,115,120,126,128,146,164,178,187,190,194,204,212,216,221,224,228,232,234,200,202,199,147,183,176,118,139,139,146,157,158,156,134,135,149,166,184,192,198,207,215,227,230,227,232,235,238,196,217,184,160,162,159,162,148,139,147,143,139,131,139,139,136,139,146,157,168,168,161,175,210,240,239,237,242,202,196,155,151,150,146,138,132,133,135,135,132,133,148,152,148,145,143,141,155,164,149,136,122,164,231,253,246,206,204,171,136,143,130,133,128,134,138,139,137,142,154,155,152,145,138,145,159,159,155,149,132,113,122,196,253,206,213,177,140,222,108,76,122,120,124,127,131,141,153,155,149,139,142,155,157,149,154,147,139,134,121,108,146,210,218,163,156,236,86,59,122,112,115,117,120,121,140,159,188,168,154,153,154,156,154,149,142,141,144,129,108,214,225,153,173,228,71,74,122,114,115,118,122,123,136,171,222,202,171,159,153,143,149,144,146,145,160,140,123,215,227,144,188,221,58,83,123,114,115,118,121,124,137,212,203,179,136,130,142,119,122,144,147,155,171,148,134,216,224,139,204,208,50,93,122,113,116,119,123,117,172,221,177,163,126,84,98,80,87,179,168,173,165,145,142,218,221,134,217,192,44,102,121,114,116,120,119,134,230,198,161,142,119,78,70,56,92,203,191,183,152,136,143,219,215,134,231,178,39,110,122,115,115,120,111,174,246,197,154,133,91,68,72,51,122,206,206,195,156,130,137,225,211,136,240,160,40,116,120,115,116,120,113,151,232,215,171,138,82,61,69,73,132,198,217,202,160,132,128,234,203,142,251,144,42,122,119,115,116,118,122,120,212,237,203,150,98,55,102,115,118,190,210,184,154,132,114,240,197,151,255,129,47,125,118,114,114,118,122,122,172,254,224,167,108,70,77,138,180,195,178,149,144,126,105,245,184,163,255,112,53,127,117,113,113,115,117,127,148,241,238,207,190,181,182,198,178,158,137,124,128,123,108,249,174,178,255,94,61,126,113,112,111,115,115,128,145,205,248,211,195,191,199,195,148,119,121,116,118,124,128,251,163,194,254,79,70,126,112,111,110,114,116,125,155,230,199,168,165,174,200,193,134,111,112,107,121,125,118,248,155,212,244,68,80,126,112,110,109,114,118,119,188,234,174,166,168,166,189,187,142,110,124,216,151,91,87,244,150,228,232,45,79,116,101,101,101,106,110,114,186,214,168,153,151,148,171,171,145,100,216,255,161,93,92,239,147,237,218,116,137,150,137,131,127,123,125,135,164,188,180,193,191,140,120,165,139,116,208,255,169,100,94,232,151,242,223,188,151,164,165,163,159,161,165,162,160,161,172,180,228,195,118,173,172,147,194,229,155,109,98,225,154,248,222,170,135,153,150,151,151,154,153,155,154,152,157,150,182,228,158,144,162,160,157,161,136,105,105,216,160,252,216,171,145,156,157,158,158,158,159,160,162,164,165,164,161,183,174,164,167,168,168,174,141,91,71
20,121,123,124,123,125,124,124,124,124,124,124,124,123,124,123,120,119,118,117,116,114,112,111,110,108,107,106,104,125,126,127,127,128,127,126,127,128,127,127,127,130,116,113,125,121,121,120,118,117,115,114,112,110,109,108,107,128,130,130,130,130,130,130,129,130,130,130,129,144,114,78,130,126,123,123,121,120,119,117,115,114,112,111,110,133,133,134,133,133,134,134,133,134,134,134,132,140,124,61,71,102,130,125,124,123,121,119,118,116,115,113,110,136,136,137,137,137,137,137,137,137,137,137,135,146,121,48,78,71,123,131,127,126,125,123,121,120,118,116,114,138,139,140,140,140,141,141,140,140,141,141,138,150,111,46,116,78,102,139,130,129,128,127,124,123,121,120,117,141,142,143,143,143,144,143,143,143,144,144,141,155,116,56,128,81,86,142,133,133,130,130,127,125,124,122,121,144,145,145,146,146,147,146,147,146,146,146,144,161,112,57,132,102,82,143,136,136,134,134,131,127,127,125,124,146,147,147,148,148,148,148,148,148,149,148,152,162,92,60,141,110,75,143,139,138,137,136,134,131,129,127,127,149,150,151,150,151,151,151,151,152,151,142,154,166,91,79,155,105,67,143,143,140,139,138,136,134,132,131,127,153,153,154,154,154,154,153,153,154,153,135,124,138,104,77,147,110,67,144,144,142,142,140,138,136,134,137,112,155,155,155,156,156,156,156,156,155,157,167,154,117,94,72,131,124,77,140,147,144,143,142,141,139,136,137,123,158,157,158,159,158,158,158,158,160,150,129,154,126,128,79,106,116,74,137,151,147,146,144,143,140,139,138,128,160,159,159,159,159,160,160,161,159,164,112,85,134,142,69,55,79,61,132,156,148,148,146,145,142,140,139,131,161,160,159,160,160,161,161,162,161,169,117,36,123,138,92,53,50,45,123,159,150,149,148,147,143,141,140,139,162,162,161,161,161,163,162,163,162,162,120,65,87,129,118,81,75,34,111,163,151,150,149,148,146,143,142,141,163,163,163,163,164,164,165,165,157,156,127,102,56,65,116,102,85,33,92,167,153,153,151,149,147,146,143,141,165,165,166,166,166,165,167,161,157,143,141,128,86,63,86,108,90,44,74,168,155,155,153,152,150,147,144,142,166,166,166,166,166,166,165,158,142,97,107,132,107,64,64,102,122,75,50,154,160,155,155,153,151,149,146,144,167,168,168,168,168,169,165,157,149,109,47,90,104,49,48,86,132,106,45,103,169,156,156,154,152,150,148,146,169,170,169,169,169,171,167,156,139,114,74,51,82,55,50,123,145,127,59,67,169,158,158,157,154,152,150,148,169,170,171,171,171,171,170,155,152,141,82,57,85,77,95,160,148,113,49,80,171,158,158,157,155,153,152,150,171,172,172,172,172,173,173,153,156,144,94,74,92,146,165,156,127,99,34,113,171,159,159,157,155,154,152,149,173,173,173,173,174,175,174,152,149,139,110,75,93,167,165,140,107,85,38,144,167,160,160,160,157,155,153,150,172,172,172,173,173,174,176,152,136,132,111,79,91,154,146,124,94,63,53,165,164,161,160,160,157,155,159,158,173,173,173,173,174,174,176,159,136,132,111,93,94,153,143,113,81,40,84,176,161,161,159,157,162,159,140,106,174,174,174,174,174,174,176,171,140,131,118,100,84,141,131,96,62,33,141,171,162,162,164,158,135,80,37,33,173,175,175,175,176,176,177,173,149,134,118,97,79,109,100,69,34,68,174,164,164,158,125,76,37,24,20,29
22,219,221,222,224,224,224,225,226,225,226,227,227,226,226,226,226,225,225,227,225,223,224,222,224,201,104,57,57,221,223,225,225,226,228,229,229,228,229,230,230,230,229,229,230,230,229,230,229,226,226,224,226,207,91,65,75,224,226,227,228,229,231,231,231,231,232,233,232,233,232,232,232,233,233,232,231,230,229,228,225,232,139,67,89,225,228,230,231,231,231,233,234,234,234,235,236,232,234,237,234,234,235,233,236,233,232,231,228,233,182,75,79,228,231,232,232,233,235,237,237,237,237,237,237,244,213,220,242,236,241,226,202,239,234,234,231,231,232,99,67,231,233,234,235,237,238,238,238,240,239,239,236,255,203,189,251,237,246,234,156,237,237,237,234,232,209,121,43,232,234,237,238,239,240,239,240,241,241,241,239,255,201,179,254,240,244,219,152,235,240,239,235,248,166,146,113,233,236,238,240,239,239,242,242,243,243,244,241,255,221,169,251,243,244,224,158,230,243,240,244,239,152,183,194,235,239,240,242,243,241,244,244,245,246,246,241,255,250,167,247,245,247,232,168,233,246,239,253,217,159,186,220,237,239,241,244,245,244,245,246,247,246,247,243,255,255,171,241,250,245,224,172,239,248,243,255,209,166,227,219,238,240,242,242,243,246,246,246,247,247,248,246,255,255,175,219,255,241,224,169,237,249,250,255,188,182,252,190,239,241,243,245,246,247,247,246,247,248,248,247,254,255,215,184,255,245,238,176,234,250,255,248,161,200,255,207,240,242,245,245,247,248,249,248,249,251,251,250,251,255,246,165,241,241,236,178,237,254,255,232,149,224,252,237,242,244,246,247,248,248,249,251,252,250,251,254,248,255,238,188,196,186,231,199,247,255,255,203,162,250,246,245,242,244,246,247,247,248,248,251,252,252,253,254,255,255,250,226,219,130,179,217,235,234,236,171,198,255,246,246,241,241,242,246,247,247,248,249,249,251,253,249,255,255,255,224,234,190,153,159,185,190,186,151,241,252,248,247,241,242,245,247,247,248,250,249,249,251,252,253,255,222,250,221,195,239,220,151,130,168,151,157,255,247,247,245,241,243,246,247,248,249,250,249,250,254,251,255,255,243,228,223,134,209,233,202,143,129,131,168,255,245,246,245,239,242,245,246,246,248,249,250,251,254,251,255,255,222,183,221,135,117,210,231,203,137,109,186,255,247,247,246,246,249,252,252,250,252,254,253,255,255,251,255,255,216,185,190,158,101,175,255,244,197,116,207,255,247,247,245,211,216,219,224,227,232,236,239,242,247,245,255,255,230,191,159,174,186,240,245,255,228,159,170,255,255,255,255,131,131,133,137,137,138,141,142,145,152,142,217,255,255,188,167,202,255,255,255,251,225,184,144,202,200,201,210,136,136,137,138,136,135,136,135,135,140,123,206,255,255,191,176,197,255,255,255,242,209,161,126,131,157,192,225,138,136,135,137,139,139,139,140,141,142,134,204,255,255,193,194,191,255,255,255,236,204,137,172,251,255,255,255,135,135,135,135,137,137,138,140,141,143,133,180,255,255,210,215,185,255,255,252,225,189,127,205,255,248,248,255,134,136,135,135,136,136,137,139,140,140,136,151,255,255,231,216,191,242,255,230,203,163,127,198,224,243,246,248,133,134,135,135,137,135,136,139,139,137,140,135,242,255,239,205,184,213,255,208,172,138,133,223,182,197,227,245,134,135,136,136,141,137,136,138,139,140,140,132,231,255,217,190,169,173,225,187,151,124,151,243,177,178,216,240
22,160,162,164,167,171,172,174,177,178,179,178,183,183,183,182,179,186,183,186,187,185,186,186,186,186,186,185,184,162,164,167,169,171,174,177,179,182,183,139,170,189,186,193,136,172,192,177,178,191,189,188,188,188,188,187,186,163,165,169,171,174,177,180,180,186,178,117,163,193,191,201,122,162,201,173,129,191,191,189,190,191,191,190,190,165,168,171,173,177,180,182,182,191,175,104,166,194,197,198,129,171,204,176,118,187,195,192,192,193,194,193,192,168,171,172,175,178,182,184,185,195,178,107,167,196,201,192,131,178,206,175,120,187,196,194,195,196,196,195,194,169,172,174,177,180,183,187,186,197,190,111,166,198,203,180,129,183,207,179,128,190,199,196,197,197,197,196,196,171,174,176,179,182,185,190,189,199,199,115,159,201,203,167,128,185,207,173,129,197,200,199,199,198,198,198,199,172,175,178,181,184,188,191,190,202,200,114,157,209,192,153,130,188,208,173,131,199,202,201,201,201,201,201,201,174,177,180,183,186,189,192,193,199,212,137,148,201,178,151,128,194,210,171,133,204,202,201,202,203,202,203,202,176,179,181,184,187,190,193,194,198,207,170,146,132,154,164,131,202,212,164,140,210,201,203,204,204,203,204,204,177,180,183,185,189,192,195,196,200,209,187,169,154,143,146,145,209,207,154,149,214,203,205,206,206,206,205,205,178,181,184,187,190,194,197,196,208,220,198,187,200,183,129,139,202,195,145,164,214,206,207,206,207,207,207,207,180,183,185,188,191,195,198,200,200,178,196,137,190,188,146,105,153,162,122,178,215,207,208,208,208,208,208,208,182,184,188,190,193,197,198,202,205,179,180,114,110,189,175,129,105,126,109,190,215,208,208,210,209,209,209,209,183,185,188,191,194,198,198,207,209,166,168,146,78,137,201,162,115,100,110,204,213,210,210,210,211,211,210,210,183,187,188,192,195,199,199,211,208,171,149,132,106,120,214,189,143,111,110,209,214,212,212,213,213,213,212,212,184,187,190,193,195,200,200,217,214,171,134,126,115,188,216,187,155,128,112,211,214,212,213,215,214,214,214,213,185,188,190,193,195,199,201,219,205,168,144,147,154,222,209,173,147,122,114,214,215,213,213,215,215,215,215,214,186,189,191,194,196,201,202,214,202,166,163,142,179,221,194,165,133,107,134,222,214,216,214,215,216,216,216,215,186,190,193,195,198,202,203,211,198,163,162,145,195,220,180,152,129,103,150,227,214,217,216,218,217,218,217,216,185,189,193,195,199,202,205,209,198,164,176,152,202,218,172,144,121,100,158,227,216,218,219,219,219,218,218,217,185,188,191,194,198,201,204,203,198,171,185,155,193,202,166,139,119,96,171,226,216,219,219,219,219,219,218,218,185,189,192,194,198,200,204,203,198,177,183,156,185,187,154,135,115,100,186,222,217,218,219,219,220,219,218,218,186,190,193,196,198,202,205,205,202,177,167,143,169,169,141,134,114,110,206,219,218,219,219,219,220,219,219,219,187,191,195,197,200,203,203,203,201,174,150,142,171,153,142,137,105,148,223,217,219,219,220,220,220,219,219,219,187,190,194,196,201,203,200,206,209,184,165,158,177,143,151,122,107,202,222,218,219,219,220,220,220,220,219,219,188,191,196,199,203,206,198,204,208,190,180,165,170,140,147,100,155,225,216,217,219,219,220,221,220,220,220,220,165,170,175,181,185,186,187,202,189,179,184,161,162,142,126,101,189,222,217,218,219,220,219,220,221,221,220,219
22,29,78,102,102,108,112,115,130,149,161,169,173,177,181,185,189,195,195,197,204,203,202,204,202,202,203,202,201,27,83,102,104,108,114,117,131,150,164,171,174,178,183,187,191,195,196,203,181,196,206,206,208,204,204,203,201,31,90,102,105,110,115,117,133,152,166,172,177,179,185,191,196,196,199,221,127,167,216,199,190,210,206,205,203,36,95,104,106,110,115,119,135,153,166,174,178,183,184,193,198,195,209,223,123,176,221,178,133,211,207,207,206,42,97,104,108,112,117,121,137,154,168,172,197,199,128,194,199,196,222,223,121,187,232,165,135,218,209,209,208,49,99,103,109,113,117,122,138,157,173,174,200,185,104,187,203,197,234,215,124,201,240,157,151,223,212,212,210,57,104,105,110,114,118,124,140,159,173,179,192,194,112,174,209,201,230,197,125,214,240,148,175,223,214,214,213,64,105,106,110,115,119,124,144,160,174,182,187,199,124,154,213,205,220,178,120,223,232,132,191,224,215,216,216,69,106,107,111,116,120,126,146,161,175,184,185,201,142,134,210,210,214,163,125,243,204,119,209,224,220,220,219,75,107,107,112,117,119,126,146,165,176,184,183,202,152,107,194,214,196,153,128,252,177,129,224,222,222,223,221,83,108,108,113,117,120,128,148,165,178,186,183,204,188,119,171,209,177,133,148,251,152,144,231,221,225,224,222,90,108,108,112,116,121,128,150,165,177,185,185,204,221,137,134,188,175,155,215,231,132,163,234,223,225,226,225,97,109,109,112,117,120,130,151,166,179,186,202,171,181,121,121,168,199,235,241,201,119,188,235,225,227,227,227,101,109,109,113,116,120,130,151,166,178,193,215,169,151,125,144,175,219,244,231,183,116,210,233,229,230,229,228,103,108,110,114,118,122,132,151,165,179,191,198,217,217,169,109,140,194,221,221,181,114,220,234,231,230,230,230,106,108,109,113,119,121,132,154,168,181,190,211,230,239,165,116,114,150,179,192,162,113,221,237,233,232,232,232,108,109,110,112,118,121,133,154,170,183,186,232,214,189,176,154,121,120,130,135,144,110,209,241,235,235,234,234,109,109,111,113,119,123,133,155,171,184,188,230,212,174,194,185,153,126,118,106,124,107,197,244,236,238,235,235,112,110,110,113,117,122,134,155,170,184,186,235,229,192,180,194,183,170,139,105,107,104,194,247,237,240,239,238,110,109,109,113,117,121,135,156,171,187,187,235,237,203,183,250,197,184,144,113,111,103,196,248,239,241,241,239,109,108,108,112,117,121,136,156,174,187,189,221,254,195,206,255,204,170,139,120,119,107,205,249,240,242,240,240,110,110,109,112,116,121,137,158,173,187,190,210,246,181,220,255,204,167,141,130,119,111,218,248,243,244,243,242,111,110,110,111,116,123,138,158,172,187,191,201,228,187,214,237,211,182,143,128,122,116,219,248,244,245,245,245,111,111,111,114,117,123,140,158,174,186,193,197,215,210,216,226,203,174,143,124,122,117,219,250,246,247,248,248,110,109,110,114,118,122,141,159,175,187,193,196,207,224,205,207,193,149,133,125,120,108,216,253,247,248,248,248,112,108,108,112,117,121,141,159,175,188,192,195,206,219,192,181,187,139,133,129,118,96,201,255,247,249,248,248,110,108,108,110,115,121,139,158,174,187,191,196,207,208,172,179,208,188,162,132,120,95,170,255,244,248,248,247,108,105,106,109,113,118,137,157,173,185,190,196,205,213,213,221,220,203,185,143,114,98,126,245,245,248,247,246
10,150,151,151,153,153,154,155,155,154,155,155,154,154,154,153,152,151,150,149,148,144,155,146,111,141,139,138,137,154,154,155,157,157,157,158,159,158,159,158,158,158,157,156,156,155,153,152,152,146,165,156,90,136,143,139,139,159,159,160,161,162,162,163,163,164,163,162,161,162,162,161,160,158,157,156,156,150,168,157,92,131,149,142,141,163,164,165,165,166,166,166,167,167,166,166,166,166,165,165,163,162,161,159,159,154,171,148,87,130,154,146,145,167,168,169,169,170,170,170,170,171,171,171,172,171,169,169,167,166,165,163,163,158,174,152,90,130,157,149,149,170,171,172,173,174,174,174,174,176,175,174,175,175,174,173,172,170,168,167,167,162,182,157,95,135,161,153,151,173,175,175,176,176,177,178,178,178,177,177,178,179,177,176,176,173,172,170,168,168,188,150,134,138,162,156,154,177,178,178,179,179,180,181,181,181,180,181,181,181,180,179,178,177,176,175,174,175,183,165,155,93,164,159,157,178,180,181,182,182,183,183,183,182,183,183,183,183,183,183,182,181,179,177,173,151,142,172,155,75,149,168,160,182,182,183,185,185,184,185,186,185,185,184,185,186,186,186,184,182,183,183,186,175,144,127,140,96,86,172,163,184,185,186,187,188,188,188,189,189,188,189,189,189,189,189,188,186,175,159,173,189,163,133,102,106,72,123,175,188,188,189,190,190,190,191,190,190,191,191,191,191,191,188,185,191,167,132,103,124,175,174,140,86,82,88,176,190,190,191,191,192,192,193,192,193,192,193,193,192,193,173,134,151,188,161,115,39,120,170,111,73,66,97,179,192,192,193,194,193,194,195,195,195,194,195,195,193,191,181,156,119,176,185,139,68,44,71,114,98,65,106,184,193,193,194,195,195,195,195,195,195,195,196,196,195,183,183,184,146,135,191,149,101,54,54,148,141,73,111,186,195,194,196,197,197,197,196,197,198,198,198,197,194,168,142,175,159,98,153,161,105,61,80,143,158,84,106,187,195,196,197,198,199,199,199,200,200,200,200,197,194,180,123,120,144,73,101,165,105,68,90,140,148,81,102,188,196,198,199,200,201,200,200,201,201,201,202,200,187,169,143,107,124,97,83,157,151,97,94,142,112,67,121,191,197,200,200,200,201,201,201,202,202,202,202,199,192,197,174,122,115,121,89,137,172,119,84,123,92,61,159,189,200,201,201,201,202,202,203,203,203,203,204,203,191,201,182,149,123,115,111,163,160,99,80,109,84,77,186,184,201,201,202,203,203,204,204,203,205,206,207,207,192,197,192,163,134,126,142,197,187,146,113,106,75,106,196,183,201,202,203,204,204,205,206,206,206,207,208,208,196,183,186,170,147,138,145,191,188,164,129,104,65,139,197,184,199,201,202,203,203,202,203,205,206,207,207,208,200,179,185,176,168,151,146,185,180,150,114,92,69,174,193,188,200,200,202,202,203,203,203,205,207,207,207,207,208,182,172,181,177,155,135,170,159,133,105,70,95,197,186,187,201,201,202,204,205,206,207,207,208,208,208,207,209,197,165,172,167,152,129,144,144,118,92,56,145,199,186,186,202,203,203,204,205,206,207,206,206,207,208,208,207,207,181,171,160,146,129,129,144,118,76,84,194,192,189,186,201,203,205,207,208,211,211,211,212,213,213,213,214,209,189,173,157,152,142,128,139,113,63,139,203,189,191,193,130,132,137,141,144,149,154,159,162,166,169,174,180,179,183,177,161,166,149,133,133,102,64,162,196,188,183,146
18,199,199,199,200,200,201,202,202,202,201,202,202,201,201,200,199,200,201,201,201,200,199,197,196,195,194,192,191,199,200,201,202,201,201,202,203,203,203,202,202,202,201,201,201,201,202,201,201,200,198,198,198,196,194,194,194,202,202,203,203,203,204,203,203,202,202,203,202,203,203,203,202,202,204,201,202,200,198,198,198,197,195,195,194,203,203,204,204,205,206,205,204,203,203,204,204,204,203,203,204,204,209,197,191,201,201,200,199,198,197,196,195,204,205,206,206,205,206,206,207,205,204,205,205,204,206,205,205,207,225,199,168,188,202,201,201,200,200,198,196,206,207,207,207,207,207,207,208,207,207,208,208,221,218,195,200,226,237,217,179,181,198,197,199,200,199,198,198,207,207,208,207,207,209,209,209,207,210,208,221,242,222,190,175,213,229,233,221,219,208,172,168,197,199,199,200,208,209,209,208,209,209,210,209,216,228,205,215,242,217,192,168,210,213,232,234,233,215,168,132,179,201,201,201,209,210,210,210,210,210,208,218,243,237,200,181,234,213,188,171,218,203,203,228,237,213,160,121,154,202,202,201,209,209,210,210,209,210,211,242,253,239,204,178,234,218,187,172,223,209,178,231,245,215,153,116,143,204,204,203,211,211,211,211,212,210,228,250,251,243,208,176,231,223,189,175,225,207,182,243,249,213,148,111,155,207,204,203,213,214,214,214,213,218,247,238,241,246,214,177,223,218,185,162,203,190,183,246,245,204,143,111,180,208,206,205,214,215,214,215,216,236,247,229,227,229,204,167,194,202,174,135,159,161,201,250,233,189,138,127,202,208,207,206,215,215,215,214,224,251,235,206,204,197,166,134,162,176,144,111,171,207,232,242,220,177,132,163,210,209,208,207,217,217,218,216,229,253,237,204,183,175,145,114,169,171,136,183,236,241,229,217,204,165,132,193,212,210,209,208,217,219,219,216,238,254,238,212,176,162,143,111,176,172,205,251,249,238,213,192,184,148,132,203,212,213,211,210,217,219,220,220,247,253,240,219,194,168,155,142,151,203,250,253,247,230,197,172,160,129,155,215,213,213,212,212,219,220,221,225,252,254,244,227,208,181,168,170,198,248,254,252,240,214,180,157,143,116,178,217,215,214,214,213,221,221,220,228,253,254,249,236,221,196,189,207,242,254,252,247,232,199,165,145,125,136,206,217,216,215,215,214,221,222,220,228,253,255,252,243,231,212,205,224,249,251,244,236,221,186,154,135,116,183,219,218,217,216,216,215,220,221,220,227,253,255,254,247,233,218,212,222,247,244,234,228,199,173,140,119,135,212,220,218,217,217,217,215,221,221,221,226,252,255,254,244,230,216,214,218,237,230,220,216,186,155,124,108,176,220,219,219,217,218,217,218,221,222,221,225,252,253,248,236,222,210,211,216,227,216,208,202,178,135,110,125,209,220,219,219,219,218,217,220,221,223,222,228,252,241,230,225,212,203,204,210,224,208,196,185,155,115,98,170,222,221,220,219,220,218,211,179,220,220,220,231,254,240,231,227,218,214,206,210,227,197,174,156,124,92,127,212,222,221,221,221,221,216,168,117,174,167,160,194,233,232,228,222,222,223,200,203,216,176,148,126,93,103,199,224,223,222,221,213,192,159,120,104,134,130,124,130,138,139,141,143,149,162,154,165,171,144,121,99,78,163,217,223,225,222,189,146,122,106,97,89,144,119,116,119,114,110,104,98,90,86,85,88,89,81,74,70,65,98,123,150,188,186,121,111,110,104,96,87
12,196,198,198,199,200,200,201,202,201,202,202,203,203,203,203,204,204,203,204,203,202,203,203,203,202,202,202,201,197,198,200,201,201,201,203,203,202,203,203,204,204,204,204,205,204,204,205,205,204,203,203,204,203,203,203,203,198,198,200,202,202,203,205,205,204,205,205,206,205,205,206,206,206,207,207,206,205,205,205,205,205,204,204,204,199,200,201,202,203,204,206,206,204,205,206,206,207,206,207,208,208,209,207,207,206,207,207,206,206,206,205,205,201,202,203,204,204,204,206,207,206,206,207,208,206,215,208,204,210,207,209,210,208,209,208,208,208,208,207,206,203,203,204,205,206,206,207,209,207,215,218,203,215,230,217,174,186,218,210,196,210,208,209,210,209,208,209,207,203,204,205,206,207,209,209,206,220,248,233,189,204,237,222,159,138,220,211,161,180,214,209,211,210,210,210,209,203,205,207,208,209,208,210,203,228,251,237,189,191,243,220,167,129,217,203,159,134,212,213,211,211,211,212,211,204,206,208,209,209,211,210,207,234,249,237,188,188,245,216,180,155,221,188,146,118,198,218,213,213,212,212,211,206,208,209,209,211,208,223,233,207,219,237,214,169,241,225,180,173,222,197,141,111,189,221,213,214,213,214,213,206,208,210,210,210,211,249,234,186,176,212,202,147,228,223,150,178,229,183,133,108,183,223,214,215,215,214,213,208,210,212,213,208,231,251,237,208,154,188,158,114,158,163,123,185,193,137,112,107,181,225,215,217,216,215,215,209,211,212,214,210,242,249,243,215,171,157,154,104,97,114,187,209,187,146,148,133,184,226,216,217,217,216,215,211,212,215,213,215,245,226,241,219,192,142,123,132,115,187,248,242,220,190,189,157,186,227,217,218,217,217,216,211,214,215,212,221,251,235,219,221,195,154,122,123,175,251,246,238,220,192,180,148,169,229,219,220,218,218,217,213,215,216,212,235,251,241,199,215,195,165,129,118,238,251,246,237,221,197,168,137,170,230,220,221,219,218,219,214,215,218,212,240,251,246,224,199,194,205,155,153,251,248,246,236,218,186,164,132,172,231,220,223,221,220,221,215,216,219,214,232,251,247,227,196,176,196,189,218,251,247,246,236,212,184,161,135,154,229,221,223,222,221,222,216,217,219,215,234,251,249,233,220,206,189,228,246,251,244,245,236,208,188,156,133,147,231,224,223,223,222,222,217,217,220,216,237,251,250,243,234,228,213,229,239,251,239,238,230,210,183,153,122,168,234,223,224,223,224,223,217,218,221,217,234,251,251,248,240,231,219,223,230,249,236,227,221,211,172,146,119,206,229,225,226,225,226,224,217,219,221,220,227,251,251,250,242,225,216,223,224,241,230,218,217,201,163,127,146,234,224,226,226,226,226,224,217,219,221,222,221,246,250,247,238,219,209,219,220,231,223,214,208,182,146,114,201,233,227,228,227,226,227,226,219,221,224,227,224,245,251,242,233,219,215,223,229,243,231,216,197,164,118,149,236,227,228,228,228,227,227,227,217,212,208,202,189,199,195,172,168,166,165,170,166,172,160,151,147,133,109,216,245,230,230,230,230,229,229,228,165,161,153,146,129,119,116,110,103,96,90,87,75,74,74,73,72,76,80,126,186,231,231,229,229,229,229,229,145,146,148,141,130,123,120,112,106,100,96,88,79,78,77,75,72,69,66,58,63,212,234,228,229,228,227,228,160,145,148,139,129,122,117,111,105,96,92,86,78,76,76,75,70,66,69,57,116,236,227,230,229,228,228,227
20,38,43,47,57,78,96,103,108,119,126,131,136,140,149,140,152,156,151,153,152,152,152,153,151,151,150,149,147,39,44,48,58,82,100,107,114,126,132,137,142,144,179,113,110,147,157,159,157,157,157,157,156,154,154,154,152,40,45,49,62,86,104,111,119,131,138,144,150,151,195,125,112,115,119,173,162,163,162,161,161,159,158,159,158,41,47,50,66,90,106,113,123,136,144,149,156,156,202,128,118,156,70,165,171,168,167,167,167,165,164,164,161,42,47,50,68,92,109,116,127,140,148,154,160,162,198,125,98,175,63,131,184,172,174,173,171,170,169,168,166,43,47,50,71,94,112,119,129,143,151,157,164,166,198,152,83,168,89,101,189,177,179,178,176,175,175,173,172,43,48,52,75,97,113,121,132,146,154,160,167,167,202,160,77,167,125,83,187,184,184,182,181,181,180,178,176,44,48,53,76,98,115,123,135,148,157,164,171,172,206,146,72,159,132,71,181,191,188,187,185,185,184,183,181,45,48,54,78,100,118,125,137,151,160,167,174,175,216,162,74,160,161,73,172,197,191,191,190,190,189,187,186,45,48,55,80,103,120,126,140,153,163,169,175,178,206,156,70,147,175,82,160,203,193,194,193,193,193,192,188,46,49,57,82,105,121,128,143,157,164,174,173,146,185,110,55,139,170,79,145,210,197,197,197,197,196,191,191,46,48,58,84,108,123,131,146,160,167,183,209,179,175,146,56,118,162,74,128,214,199,199,197,198,202,208,201,46,47,59,86,111,125,132,147,160,164,184,227,212,136,144,121,85,94,61,115,212,198,208,213,206,185,138,69,47,47,60,88,113,127,134,148,172,158,153,162,200,149,76,111,128,78,37,84,221,209,176,125,81,41,11,13,44,47,63,91,114,128,136,147,196,217,172,97,139,196,97,45,106,123,68,48,140,79,29,11,10,23,29,24,42,44,62,91,115,128,136,151,186,188,202,137,75,176,183,62,69,133,128,68,17,7,10,16,16,7,26,21,40,42,61,91,116,128,136,155,176,107,119,157,128,133,186,93,67,120,143,112,45,8,11,1,23,7,10,22,40,42,63,92,117,129,138,156,188,153,93,79,141,128,79,69,61,72,129,128,84,28,16,0,5,17,4,12,35,37,61,93,120,131,141,158,194,162,91,70,80,92,86,106,113,101,130,123,101,51,0,21,0,6,6,8,70,71,78,90,106,114,124,131,178,153,106,100,103,115,135,158,188,191,155,94,89,51,0,14,14,0,5,1,76,77,77,73,77,79,83,72,131,193,153,110,108,140,162,197,216,192,148,90,69,39,0,0,20,8,4,0,77,79,82,85,84,85,88,82,107,199,167,129,110,151,162,204,214,186,142,92,65,37,0,0,10,12,10,1,80,82,82,84,84,87,89,87,92,191,187,159,111,157,161,197,202,167,130,94,66,37,0,0,0,12,10,6,80,80,81,81,82,84,87,90,83,168,195,172,118,156,157,173,194,166,126,92,65,27,8,0,0,10,8,5,78,79,81,81,82,84,85,89,81,127,191,175,133,161,138,145,174,176,127,85,65,11,12,0,0,1,9,0,78,79,80,80,83,84,84,87,88,88,165,187,152,161,132,119,159,165,116,74,56,0,10,2,0,0,9,0,78,79,80,80,82,83,84,85,88,83,110,183,165,152,132,100,126,138,101,76,35,0,5,13,0,0,0,4,77,78,80,80,81,82,84,83,85,88,82,162,176,147,124,104,98,117,100,81,1,0,0,15,0,0,0,2
0,185,187,189,191,193,194,195,198,197,196,196,197,197,195,196,195,194,194,193,193,191,189,189,187,186,186,184,183,186,188,191,193,194,195,196,198,198,197,198,199,199,198,198,196,196,195,194,194,191,189,189,188,188,187,186,184,186,189,192,193,195,196,197,199,200,199,200,200,199,199,199,199,199,196,195,196,194,192,190,186,176,185,187,187,188,189,192,194,197,198,199,201,201,201,202,201,201,200,196,182,183,197,187,169,184,194,197,187,138,172,189,187,188,191,194,196,198,199,200,201,202,203,201,188,173,187,179,139,115,147,154,121,115,182,201,180,118,172,191,188,189,193,195,197,198,200,201,197,187,199,200,164,120,111,149,136,109,83,116,124,92,142,197,167,111,176,192,190,192,194,197,199,200,201,201,186,140,133,181,159,122,90,130,145,126,92,111,131,101,129,186,161,101,163,194,191,193,195,198,200,200,203,204,186,153,111,147,168,131,106,126,156,129,98,106,132,100,105,174,149,89,131,196,193,194,196,199,201,202,212,203,197,171,131,118,174,137,107,108,157,126,93,100,127,95,73,143,141,87,98,192,193,195,197,199,200,207,207,188,207,174,139,101,157,136,103,94,153,123,82,79,104,83,69,124,143,88,97,193,194,196,198,200,202,219,214,172,193,168,143,92,129,136,103,83,140,111,70,60,77,70,84,145,138,83,122,198,195,196,199,201,206,217,202,171,170,143,114,74,108,128,92,68,101,82,63,68,78,69,102,149,132,82,150,199,196,197,200,202,207,211,189,159,157,122,83,66,102,98,74,67,85,78,62,78,79,77,128,149,130,86,174,198,196,197,201,202,205,223,217,189,154,111,97,76,101,98,62,65,101,83,73,100,96,104,143,149,116,92,191,199,197,198,201,204,207,224,224,206,174,125,105,84,115,116,76,96,122,127,144,146,138,127,137,123,94,101,199,199,199,199,201,204,208,224,226,211,188,153,123,112,110,119,153,177,178,177,170,155,146,126,106,94,73,117,203,200,200,198,202,205,207,222,225,211,185,161,133,122,134,158,190,188,188,176,164,151,138,118,87,78,70,158,204,201,200,197,200,203,205,217,220,208,188,171,144,129,148,171,189,185,181,168,155,144,127,107,82,67,126,199,202,201,200,198,200,203,206,212,216,206,191,175,152,138,160,168,180,181,171,157,142,130,115,95,69,105,195,204,202,201,200,199,202,205,207,208,213,204,192,176,155,139,148,159,166,176,162,147,133,119,103,78,88,183,206,204,203,202,200,199,202,204,207,207,209,204,191,176,154,133,127,144,151,158,150,138,124,105,82,82,172,207,205,205,204,202,201,200,202,204,208,209,208,206,191,178,152,121,114,128,135,133,128,123,107,84,81,161,207,206,206,205,204,202,187,200,202,205,209,211,205,188,183,168,136,108,112,119,122,112,102,97,84,113,174,207,208,207,207,205,199,143,87,185,187,187,160,183,212,189,175,157,139,127,122,113,112,98,83,70,132,188,196,195,195,187,178,182,129,59,42,122,124,111,52,125,210,197,182,165,154,138,119,100,99,86,68,63,108,116,117,113,96,73,63,67,49,37,33,115,114,85,59,78,150,179,179,169,151,128,106,90,84,72,54,72,100,91,69,50,36,30,33,34,34,30,27,118,111,74,67,62,70,105,141,148,135,110,92,80,71,55,35,52,73,50,36,31,28,23,23,28,33,30,27,118,102,71,67,62,58,55,75,100,100,85,72,62,53,35,14,5,21,33,25,24,26,22,19,22,29,30,30
0,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,252,250,251,251,249,248,246,245,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,252,249,247,247,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,251,250,248,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,249,255,239,217,251,245,200,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,221,172,143,195,195,154,150,235,159,219,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,245,207,217,218,177,132,101,194,169,106,199,189,154,255,255,255,255,255,255,255,255,255,255,255,255,244,235,255,225,160,112,195,188,164,123,196,172,118,167,219,116,195,255,255,255,255,255,255,255,255,255,255,255,208,139,219,220,166,108,176,200,177,123,200,178,116,127,217,158,116,200,255,255,255,255,255,255,255,255,255,248,214,150,196,226,177,127,169,206,166,116,205,183,115,82,205,189,143,108,255,255,255,255,255,255,255,255,238,234,227,182,177,234,178,135,143,207,167,101,172,156,101,88,215,207,127,128,255,255,255,255,255,255,255,255,230,206,224,195,162,221,172,131,120,205,163,78,88,102,61,140,239,200,99,192,255,255,255,255,255,255,255,255,251,197,199,189,133,191,181,141,89,126,111,39,64,80,109,217,233,175,98,252,255,255,255,255,255,255,255,248,226,159,160,140,74,139,173,132,64,44,62,113,182,169,188,234,213,130,140,255,255,255,255,255,255,255,255,246,237,193,148,101,66,75,111,77,50,80,166,230,226,218,187,203,192,83,195,255,255,255,255,255,255,255,255,247,250,221,171,142,125,117,131,134,162,205,234,231,220,217,176,152,142,70,245,255,255,255,255,255,255,255,255,247,255,227,189,166,146,158,190,229,240,245,248,236,210,203,157,122,75,148,255,255,255,255,255,255,255,255,255,240,255,231,199,161,157,169,219,248,250,255,250,223,198,182,142,74,108,255,255,255,255,255,255,255,255,255,255,230,245,232,206,174,167,184,243,255,251,253,237,204,179,158,102,81,255,255,255,255,255,255,255,255,255,255,255,237,239,240,212,196,185,202,247,252,250,239,211,189,162,130,65,219,255,255,255,255,255,255,255,255,255,255,255,252,225,241,230,214,189,207,242,241,240,224,187,164,143,70,166,255,255,255,255,255,255,255,255,255,255,255,255,255,222,236,229,207,183,198,231,222,215,192,162,141,83,117,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,228,221,196,182,190,216,206,188,166,136,82,86,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,241,229,211,185,182,184,208,197,168,144,93,79,251,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,236,228,216,208,206,194,198,193,153,115,61,232,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,230,239,228,227,211,198,192,180,132,74,131,255,255,255,255,255,255,255,255,255,255,255,167,172,175,178,177,202,238,249,238,225,211,200,183,145,120,68,153,244,238,241,245,249,250,250,252,255,255,255,139,138,135,136,126,187,240,250,231,222,212,197,149,131,107,71,107,140,138,137,138,140,141,142,145,148,149,148
5,97,101,105,108,110,113,115,117,118,121,122,123,123,127,128,130,131,132,134,135,135,136,138,136,137,138,139,138,98,103,106,109,112,115,116,117,120,122,123,124,128,128,129,130,131,134,135,135,137,138,137,137,137,139,139,138,99,103,107,110,113,116,117,119,120,123,125,125,104,128,130,131,133,135,136,136,129,137,137,139,139,139,139,139,99,104,108,110,114,117,116,122,123,123,125,139,79,115,134,132,135,136,135,144,99,118,142,138,139,139,140,140,101,105,109,111,115,118,131,97,119,126,126,144,82,111,138,133,135,135,138,147,83,112,145,139,141,142,142,141,102,106,109,113,118,114,148,105,93,131,128,150,91,112,138,134,136,136,146,115,73,137,142,143,143,143,143,142,103,107,110,115,118,115,135,131,82,129,132,150,97,110,139,135,136,145,142,78,100,149,141,144,145,144,143,143,104,109,112,116,120,119,128,157,99,117,139,136,81,109,142,136,139,144,113,79,140,145,144,145,145,144,144,144,104,109,113,116,121,121,124,170,121,99,142,125,87,107,143,132,132,112,71,115,149,143,144,145,146,146,146,145,106,111,114,117,121,122,120,160,147,92,135,121,101,103,141,126,123,69,90,149,145,146,146,147,148,148,147,147,106,111,115,118,122,123,122,139,168,132,112,109,103,92,120,122,112,73,138,146,145,146,146,148,148,148,148,148,107,111,116,119,122,123,125,127,163,164,124,87,95,76,88,113,87,98,151,146,148,149,148,148,149,149,149,147,107,112,116,119,122,123,126,126,144,174,149,106,77,73,76,82,73,131,149,148,148,146,148,150,151,151,150,150,107,112,116,120,122,123,126,129,130,169,157,117,79,66,70,67,76,148,143,140,137,135,140,142,140,139,144,143,108,113,118,121,123,124,127,130,127,163,161,116,77,62,62,64,76,111,130,131,123,136,150,145,139,139,129,100,109,114,117,121,124,126,128,131,130,173,159,119,84,59,59,63,80,90,111,113,87,90,108,103,106,124,114,78,109,115,118,121,125,125,130,128,138,183,149,114,83,62,58,64,76,81,74,78,89,123,127,127,127,133,103,93,108,113,118,123,124,125,130,125,156,182,139,110,80,61,60,63,65,69,99,127,149,158,155,139,137,104,95,147,109,114,119,123,125,127,130,127,172,172,134,106,75,60,62,65,53,106,157,159,153,143,125,127,120,79,150,156,109,114,119,123,125,128,129,139,184,166,130,94,74,58,59,70,80,101,107,129,129,124,134,131,87,102,161,150,110,115,119,123,124,128,125,156,183,156,120,94,77,57,62,76,95,106,102,98,121,131,126,99,97,145,156,153,110,115,120,123,124,127,128,174,176,146,113,101,82,55,72,100,113,118,110,104,122,104,95,126,157,157,155,154,111,115,121,123,126,124,141,182,170,142,113,104,82,56,80,114,115,118,113,92,82,102,146,160,154,155,155,154,112,116,120,123,126,123,166,179,162,139,115,100,82,59,88,119,108,116,100,72,113,156,156,153,155,155,155,154,112,116,120,125,122,141,181,167,157,135,101,89,74,60,96,113,103,102,87,133,159,153,155,155,155,156,156,154,112,116,121,124,122,166,172,156,147,123,88,82,66,69,93,97,97,88,139,158,153,155,155,155,155,156,156,154,112,116,122,121,145,169,157,149,146,122,78,75,68,75,78,84,101,138,157,152,155,155,155,156,156,156,156,156,112,117,121,123,170,160,153,143,152,116,66,76,79,68,69,110,151,155,153,155,155,155,155,157,156,156,156,156
2,152,162,167,168,171,175,179,182,185,187,188,187,190,194,197,194,200,202,204,201,202,204,204,204,204,205,205,206,154,163,168,169,173,177,179,184,185,185,188,206,221,219,207,205,206,183,164,202,200,200,205,203,204,204,204,203,154,163,168,171,175,179,183,183,192,207,218,208,186,171,143,141,160,139,113,148,155,140,192,206,203,203,203,203,156,164,169,172,176,182,181,194,235,226,182,150,136,133,121,117,120,120,122,125,117,117,191,208,203,203,203,203,158,166,171,173,179,180,198,238,219,169,121,109,114,114,112,115,112,106,123,136,148,191,207,203,203,203,203,202,160,168,172,175,181,184,237,225,153,123,111,99,113,105,104,109,113,140,190,206,209,208,206,205,205,205,204,203,162,170,173,178,181,196,247,194,127,111,108,109,116,104,114,111,183,214,209,208,208,208,208,208,206,205,206,205,164,172,175,181,181,207,246,179,127,109,102,111,107,111,112,138,220,211,211,212,211,212,212,209,213,191,203,209,167,174,177,183,182,224,237,157,112,103,104,103,99,110,105,186,221,215,216,214,216,217,212,216,217,166,204,213,169,176,179,185,184,241,228,157,127,117,115,104,106,106,137,224,217,218,218,218,218,218,217,226,190,151,217,215,172,179,182,184,195,255,224,167,136,124,113,108,122,110,172,230,219,222,222,221,221,218,219,217,161,167,227,217,175,181,185,185,218,255,220,168,133,123,109,110,119,108,196,229,222,225,225,224,226,214,207,202,139,175,231,219,178,183,186,188,227,255,215,164,131,121,109,110,113,110,204,234,226,227,226,228,224,203,208,183,129,167,234,222,180,184,188,190,227,255,211,160,131,118,110,106,115,119,162,225,222,231,235,232,212,212,208,172,125,192,234,225,181,186,190,191,224,255,212,168,138,120,110,109,123,139,134,153,170,174,202,204,207,213,206,155,160,237,228,230,183,188,193,192,227,255,212,171,140,124,110,113,137,147,146,160,175,177,163,187,212,206,178,143,226,235,231,232,185,189,194,195,236,255,212,175,146,127,109,120,143,141,147,166,181,191,188,178,200,191,139,198,243,234,236,234,188,190,196,198,241,251,212,179,154,131,112,125,142,143,165,180,188,180,178,167,169,149,165,246,236,238,237,236,189,193,200,199,241,246,211,183,160,133,116,128,146,157,181,184,181,170,158,153,140,128,230,243,238,239,239,239,192,195,201,204,241,240,209,187,166,136,121,130,148,163,175,178,169,160,149,136,123,201,249,239,241,241,241,240,194,196,203,205,234,231,206,194,173,139,131,133,146,163,167,171,164,152,136,141,219,251,242,244,243,243,243,243,196,198,205,206,229,227,210,202,176,144,138,133,149,160,164,165,159,138,151,240,253,244,246,246,245,245,245,245,198,200,206,208,230,227,216,201,172,148,143,134,154,157,158,158,140,139,236,253,244,247,246,247,247,246,246,246,200,202,209,214,238,230,214,194,170,154,147,134,150,150,147,134,142,228,254,246,248,248,248,248,248,247,247,246,202,204,209,219,247,230,219,196,170,154,145,136,143,148,123,164,241,254,248,250,250,250,249,249,248,247,248,252,203,206,210,226,248,231,226,196,167,150,142,136,143,126,161,252,253,248,251,251,251,251,251,250,252,255,255,235,204,207,212,228,239,225,214,185,152,140,135,137,133,145,242,250,251,252,252,252,252,252,253,255,245,206,156,120,206,209,213,226,227,219,212,185,148,140,141,146,124,198,254,250,253,253,253,253,252,255,239,186,137,105,98,99
18,156,157,159,161,163,167,171,174,176,179,182,183,184,187,188,189,191,191,192,193,193,194,194,195,194,194,194,193,156,158,160,162,164,168,172,174,178,181,183,184,185,187,188,190,192,192,193,195,195,196,196,195,195,195,194,194,156,159,161,161,164,170,174,177,180,182,183,186,187,189,190,192,193,193,194,195,196,196,195,199,197,197,195,195,156,160,161,163,166,169,174,179,181,183,184,187,188,190,191,193,194,193,194,196,196,198,196,158,197,196,196,196,158,160,162,164,167,169,174,179,182,183,185,187,189,192,193,194,194,194,196,197,194,213,199,121,144,210,201,196,160,162,163,164,168,172,176,180,182,185,188,189,190,193,194,194,194,195,197,204,186,206,204,145,114,153,186,203,160,162,164,165,170,174,178,181,183,186,188,190,191,194,197,194,200,178,153,177,183,178,217,184,152,115,111,153,161,163,164,166,170,174,178,181,184,185,188,190,192,193,178,199,211,170,156,111,162,179,216,197,160,151,148,113,161,163,165,166,170,174,179,181,186,188,189,186,199,201,159,132,195,182,167,118,140,178,188,193,178,162,148,130,162,164,166,168,171,175,179,183,186,189,189,192,215,203,184,121,166,201,162,128,105,170,144,140,177,173,149,137,162,164,167,170,173,176,180,184,188,190,187,218,229,208,188,142,136,202,163,134,90,136,129,93,202,196,163,142,164,167,167,170,174,178,181,185,189,191,194,218,227,216,188,151,113,189,157,124,80,90,107,93,192,208,173,140,164,167,167,170,175,178,182,186,190,186,205,232,216,198,190,148,101,149,133,109,85,68,78,68,183,204,180,142,164,167,168,171,175,179,183,187,190,190,225,224,208,173,153,121,96,123,116,107,68,63,127,118,199,210,171,141,165,168,168,171,176,180,184,188,186,207,233,198,190,169,109,101,96,118,128,97,95,184,207,171,169,191,154,134,167,169,170,172,177,182,185,189,188,203,246,222,181,145,119,121,93,145,157,143,208,213,196,178,133,167,142,131,168,169,170,173,178,183,186,190,191,201,244,227,197,146,139,138,94,152,183,216,219,195,173,179,138,141,146,127,167,170,171,174,178,184,188,192,189,209,245,228,205,178,161,162,136,149,230,223,200,181,164,171,165,127,142,116,168,170,171,175,179,183,188,193,190,216,244,223,188,178,156,143,164,229,227,205,189,180,175,171,169,133,123,106,169,171,171,175,180,184,188,193,190,221,242,215,190,179,157,154,201,235,219,197,191,189,165,167,161,128,106,89,170,172,172,176,182,186,189,192,190,224,237,215,191,194,161,192,207,219,210,189,191,175,149,166,149,117,98,70,171,173,173,177,182,186,189,194,192,224,233,217,209,197,167,181,201,198,198,179,179,160,154,163,130,108,77,119,171,172,174,177,182,187,190,194,193,221,229,215,215,188,163,157,186,183,184,176,169,155,153,133,110,89,86,204,170,172,174,178,182,188,191,195,194,220,230,220,212,176,141,164,173,181,184,173,165,148,131,103,96,69,170,223,171,173,174,179,183,188,191,196,196,215,225,220,190,151,144,172,171,184,184,173,153,139,116,103,75,119,225,213,173,173,173,178,183,188,190,195,196,218,213,203,189,180,178,175,171,189,180,161,136,126,111,88,79,203,219,214,172,173,175,179,183,191,197,194,200,232,226,220,217,206,190,173,163,184,171,150,127,113,99,76,180,224,214,217,172,174,177,180,188,171,159,190,207,234,225,226,215,200,179,172,161,175,163,142,123,108,78,146,232,215,218,218
10,117,124,127,130,135,142,148,152,155,159,162,165,168,170,172,174,176,177,178,179,177,180,180,181,180,179,179,178,120,126,130,133,138,144,150,155,158,161,164,167,170,171,173,178,179,180,179,186,192,165,183,184,183,182,182,181,120,128,131,133,140,146,152,157,160,163,165,169,172,173,177,179,180,180,178,206,210,143,181,185,185,185,184,183,121,128,131,135,142,148,153,157,162,164,167,170,174,176,180,182,183,183,181,214,217,144,177,188,187,187,185,185,124,130,133,136,143,150,156,159,163,166,169,172,176,179,181,184,185,186,184,209,231,157,171,191,188,189,189,188,125,132,134,138,145,151,157,160,164,168,171,175,179,180,182,184,186,188,187,206,247,180,161,194,192,192,191,191,127,133,136,140,147,153,158,163,168,171,174,178,180,182,184,186,188,189,189,204,251,197,149,196,194,194,193,194,128,135,137,142,149,155,160,165,170,173,176,180,182,184,186,187,190,192,191,201,251,206,143,196,196,195,195,195,130,136,138,143,150,157,162,167,172,173,177,182,184,185,198,197,161,192,195,200,251,210,139,193,199,197,197,197,132,138,141,144,152,158,163,167,172,181,180,177,183,186,213,210,137,155,198,204,251,215,140,188,202,200,201,200,133,139,142,146,154,160,164,169,171,209,174,128,126,137,179,212,188,158,182,209,245,211,144,176,204,202,202,201,134,139,142,148,156,162,166,172,175,189,155,118,111,116,120,191,232,192,141,208,223,205,155,162,207,203,203,204,135,141,144,150,157,163,168,173,178,181,172,152,139,133,128,141,214,200,136,166,180,185,160,151,209,206,206,205,137,143,146,152,159,165,171,175,180,183,188,187,212,204,122,107,197,225,173,117,123,146,152,134,204,207,207,207,139,143,148,153,160,167,172,176,182,185,187,200,248,205,102,90,156,243,201,134,102,121,135,121,192,210,208,208,139,144,149,154,161,167,173,178,182,187,186,229,255,201,111,109,108,238,224,170,115,109,132,121,183,213,209,209,140,146,148,155,162,169,175,179,185,189,188,225,249,228,133,82,122,231,239,193,135,104,126,121,186,216,212,212,142,147,149,156,164,170,176,180,186,189,191,201,235,242,167,119,145,231,239,192,140,112,119,118,191,218,214,213,142,147,151,157,165,172,178,182,187,190,193,195,216,222,165,151,161,238,234,204,156,120,117,115,197,218,215,216,144,149,152,159,167,172,178,183,188,192,195,198,198,217,210,179,193,248,232,212,176,133,117,112,202,219,217,217,146,150,153,160,167,173,179,184,189,193,197,201,200,232,253,224,224,253,235,207,180,145,121,110,204,219,218,218,145,149,153,160,167,173,179,184,189,193,196,201,202,224,255,241,241,253,235,206,181,152,128,112,206,220,220,220,145,149,152,159,167,172,178,183,188,192,197,200,202,213,255,252,245,250,233,206,177,159,134,113,206,220,219,219,146,150,153,161,169,175,180,185,189,194,198,201,203,211,252,255,251,251,230,206,184,165,138,110,206,221,221,220,146,150,154,161,169,175,181,186,191,195,199,202,205,207,244,255,254,250,228,214,191,163,135,113,213,222,222,222,147,150,155,163,171,176,182,187,191,196,199,203,206,207,233,255,245,240,224,223,200,160,128,119,222,222,223,224,146,151,155,162,170,175,182,188,193,197,201,204,207,210,222,249,232,229,227,225,211,160,120,121,222,225,224,224,143,148,153,160,168,173,180,188,191,196,200,203,207,176,117,210,227,238,236,224,214,158,115,75,85,186,229,224
7,213,215,217,220,221,221,223,224,224,225,224,224,224,224,223,223,223,220,221,221,218,217,218,216,213,214,213,212,215,217,218,222,224,225,226,225,225,225,224,225,224,223,224,224,223,221,222,221,221,219,218,216,215,215,214,212,215,217,221,223,224,226,227,227,228,228,226,226,226,225,224,225,225,223,223,221,222,221,220,218,218,217,216,214,218,219,221,223,225,227,228,228,228,229,228,228,228,228,227,226,225,225,225,224,223,222,221,220,219,217,217,216,219,221,223,225,227,227,227,229,229,229,229,229,229,228,228,229,227,227,225,224,223,223,223,221,220,219,219,217,219,223,225,226,227,228,229,229,229,229,229,230,229,228,228,228,229,229,228,228,228,224,221,223,222,222,220,217,221,223,225,229,229,229,230,231,231,231,231,231,232,232,233,231,229,226,222,217,199,209,224,210,224,222,221,219,223,223,225,229,229,231,232,235,235,236,234,228,224,217,210,207,208,199,192,193,172,210,231,183,219,221,224,221,223,225,228,228,230,233,230,223,214,215,214,206,193,178,171,185,203,199,185,177,167,172,187,167,216,221,207,224,224,227,228,230,233,225,214,194,187,185,183,190,185,180,166,162,168,154,159,165,162,161,173,184,233,232,164,221,226,228,228,230,228,218,203,192,192,184,173,175,183,179,157,153,148,173,193,209,189,187,184,184,187,181,172,226,225,228,226,219,210,206,205,202,189,154,149,171,192,188,175,171,161,177,192,195,178,164,150,144,152,184,221,228,224,220,215,210,207,206,199,202,187,140,143,156,164,161,158,163,151,147,158,144,141,144,173,204,224,233,228,227,218,214,212,211,212,199,191,190,189,168,134,119,110,108,111,123,124,133,153,178,205,225,238,236,231,228,228,227,216,214,211,206,199,194,193,192,196,187,148,114,92,120,171,176,196,213,236,243,240,235,231,231,230,230,229,228,214,208,202,196,192,189,187,186,184,167,145,121,109,122,225,254,244,243,238,234,235,235,234,233,232,231,230,229,210,201,195,188,183,179,174,170,168,160,135,111,114,112,107,221,245,238,238,236,236,235,236,234,234,232,232,231,200,201,187,185,174,173,170,166,165,161,137,106,109,130,103,141,253,239,240,239,238,236,236,235,234,233,233,232,111,172,191,184,178,172,170,171,173,172,139,105,101,121,117,139,250,241,242,240,240,239,238,236,234,233,234,232,81,89,163,192,183,177,168,162,160,150,130,113,108,98,92,169,255,241,243,241,240,240,239,237,235,235,234,233,85,77,87,169,188,179,170,158,146,135,123,120,117,102,96,118,241,246,243,242,241,240,238,237,236,235,235,234,79,81,70,99,172,164,156,147,140,128,121,119,119,108,96,123,243,245,244,243,242,241,240,238,237,237,235,234,77,73,75,71,113,145,133,121,118,95,98,116,110,122,184,218,250,243,242,243,242,241,241,240,239,238,236,235,71,70,72,74,63,74,117,162,92,85,95,104,118,219,255,250,247,246,245,243,244,242,241,240,240,238,236,236,63,66,71,78,52,72,219,225,84,92,104,149,227,255,246,247,247,247,246,243,245,243,241,241,241,239,238,236,65,62,78,67,86,227,255,247,192,185,219,253,254,247,249,248,247,247,247,244,242,243,242,241,241,240,239,236,91,76,66,94,236,251,244,248,255,255,254,247,246,248,248,248,248,247,246,243,243,242,242,241,240,240,237,235,76,73,54,164,255,241,248,248,246,247,247,248,247,248,248,248,248,247,246,244,243,242,242,241,240,239,238,235
1,147,150,151,154,156,159,161,161,162,162,163,164,164,164,164,163,162,161,164,161,160,159,159,157,156,156,155,153,149,152,154,155,158,160,161,163,164,165,165,164,164,165,164,164,168,165,152,163,161,160,161,158,157,156,155,154,151,154,157,158,160,162,164,165,166,166,166,166,167,165,172,159,173,176,114,153,161,162,160,159,159,157,156,156,152,156,159,161,161,164,166,167,168,168,168,168,168,167,192,148,124,171,108,125,138,144,164,160,161,160,158,157,155,158,161,162,164,165,168,169,170,171,171,170,168,177,198,138,104,162,106,124,139,114,168,162,162,162,161,159,156,160,162,164,166,168,169,171,172,172,170,181,176,135,171,127,116,177,112,124,142,108,164,165,164,163,162,161,158,161,164,166,168,169,171,173,174,175,172,197,163,99,144,127,122,176,118,113,142,109,163,168,165,164,163,161,159,163,166,167,169,172,173,174,176,175,176,198,145,99,146,120,112,156,107,128,155,113,158,171,167,167,165,163,161,165,167,169,172,173,174,176,178,176,185,199,143,99,135,108,123,150,101,132,152,110,155,175,169,169,167,166,163,166,168,170,173,173,176,178,180,176,193,190,135,108,140,106,142,160,106,126,145,107,159,175,171,171,168,167,164,167,169,171,174,176,177,179,180,177,196,182,127,118,157,111,127,150,103,144,152,110,162,176,173,172,169,167,165,168,170,172,176,177,178,180,182,179,202,185,145,109,135,92,102,119,94,161,150,111,164,177,174,173,171,170,166,170,172,174,176,177,179,181,184,182,204,172,132,97,101,101,104,104,107,147,128,107,173,177,175,174,173,172,168,172,174,176,178,179,181,184,185,186,198,171,153,147,119,137,110,140,151,117,105,117,183,176,176,175,173,172,169,173,176,177,179,182,184,185,185,192,213,200,161,176,173,164,159,173,142,100,97,142,186,176,177,176,174,172,169,173,178,179,181,183,185,187,184,206,221,171,135,142,169,176,172,158,145,124,83,150,187,178,178,177,175,174,170,174,178,180,184,185,187,188,185,215,202,145,134,106,107,141,132,158,174,139,87,153,188,179,179,178,177,175,173,176,179,182,185,186,188,189,189,220,206,171,133,123,115,103,147,149,192,158,101,139,190,180,181,180,178,176,174,177,181,183,186,189,190,191,194,222,204,178,130,133,109,155,206,161,187,168,119,101,183,185,182,181,179,177,175,179,183,185,188,190,192,193,197,219,206,176,125,137,120,199,208,192,162,143,131,100,177,188,183,182,180,178,176,180,183,186,189,191,193,193,199,218,212,169,131,134,148,218,210,183,161,131,111,109,188,187,185,183,182,179,177,181,185,187,189,192,195,193,201,220,203,161,149,122,176,219,201,180,155,141,94,124,197,187,187,184,183,182,178,183,186,189,191,194,195,195,201,218,195,176,156,130,199,213,194,173,151,129,89,163,196,188,189,186,184,183,179,183,187,190,192,194,195,202,208,210,195,191,160,148,204,206,186,166,142,105,111,196,191,190,189,187,185,183,180,184,187,191,193,194,202,170,162,215,195,197,159,139,187,186,167,148,126,87,165,200,192,191,190,188,187,185,181,185,189,193,194,196,201,109,85,164,193,190,131,123,150,153,142,126,89,120,204,193,194,193,192,189,188,187,182,186,189,192,193,203,168,92,96,87,113,124,107,122,129,128,110,91,95,189,199,194,195,194,192,190,189,187,180,184,189,192,193,202,130,95,93,91,87,90,94,101,100,100,78,57,148,207,194,196,195,194,193,190,189,187
0,171,172,174,175,177,178,179,179,180,181,182,182,183,183,183,183,182,183,183,182,182,180,180,179,179,179,179,178,171,173,174,177,177,178,180,180,182,182,183,183,184,184,183,183,183,183,183,184,182,181,181,182,180,179,180,178,173,174,177,177,178,179,181,182,182,184,185,185,184,184,185,185,183,183,183,184,184,183,182,181,181,180,181,180,173,174,175,177,177,178,181,182,183,185,184,185,185,187,185,186,186,186,183,185,184,184,183,182,181,180,182,181,173,176,176,178,178,180,183,183,185,189,186,184,178,172,185,184,170,172,185,183,184,183,185,182,183,182,182,182,173,176,178,178,180,182,183,183,182,164,174,199,171,134,137,187,158,115,155,198,185,170,154,189,183,183,183,183,175,176,178,179,180,183,182,187,188,159,127,186,187,148,109,188,164,122,107,155,162,180,124,171,190,182,184,184,176,177,179,179,181,183,181,201,200,185,133,129,193,142,114,190,161,127,85,121,140,184,158,130,173,189,183,184,177,178,179,181,184,182,191,193,189,190,141,98,178,148,122,194,164,110,110,155,120,177,178,155,130,163,189,184,178,179,181,182,184,181,201,177,172,181,120,102,175,138,127,187,150,93,124,158,96,162,198,174,134,102,188,186,178,180,182,183,182,182,206,183,173,164,100,116,170,120,120,167,136,87,123,155,105,190,205,169,121,99,187,186,179,180,182,184,182,196,200,173,168,160,110,118,153,109,106,149,127,77,127,143,138,194,180,153,90,139,197,185,180,182,183,184,182,208,202,166,134,144,110,106,153,111,96,155,110,96,160,151,164,167,147,120,88,181,191,188,180,183,183,185,184,208,200,178,152,112,73,113,176,116,101,172,157,172,163,152,132,145,126,87,125,197,188,190,181,183,184,185,187,210,192,178,167,145,104,101,129,100,106,191,189,172,155,146,114,114,115,76,161,197,188,188,181,182,184,184,193,213,194,178,167,158,127,97,111,135,186,198,186,164,147,136,107,99,96,83,187,193,189,189,182,183,185,183,197,214,198,181,169,166,140,115,120,171,203,194,179,156,138,122,97,94,71,134,200,190,189,190,183,183,185,183,197,213,202,184,171,166,148,120,124,183,205,189,173,149,129,107,92,76,95,194,191,191,190,189,183,184,185,186,192,213,203,188,175,163,148,120,150,188,195,181,169,142,117,97,84,73,170,198,192,193,190,190,181,184,186,187,191,213,201,191,179,160,144,134,173,184,173,173,160,132,103,90,66,143,202,192,193,193,193,193,183,184,188,184,193,213,204,200,179,160,152,158,183,164,160,161,146,118,96,69,112,201,194,195,195,194,194,194,183,185,187,181,205,212,206,205,183,166,157,166,175,148,156,148,128,104,79,84,193,197,196,196,195,194,194,194,184,185,184,187,212,201,203,200,172,163,162,163,151,148,149,136,117,89,77,173,201,195,195,195,195,194,194,194,183,185,181,195,195,180,191,185,161,160,161,151,144,142,129,121,95,73,158,201,193,197,195,195,194,193,193,193,183,181,179,201,182,163,164,162,154,153,154,142,134,131,116,100,77,143,197,195,196,196,195,195,194,193,193,193,186,172,190,199,167,157,151,143,142,161,153,120,126,126,102,72,141,197,194,198,197,196,196,196,195,194,194,194,179,172,208,192,154,142,147,129,136,162,135,109,127,114,77,120,196,197,196,197,197,197,196,196,196,195,195,195,167,193,205,188,151,131,137,122,138,149,123,111,118,88,87,183,196,197,198,197,197,197,196,196,196,196,196,194
0,185,185,187,187,187,187,188,188,188,188,187,188,188,187,187,187,187,187,186,185,186,186,184,183,183,184,183,182,187,188,187,189,189,189,189,188,188,188,187,189,188,189,189,188,187,187,188,188,186,188,187,183,184,186,185,184,188,190,190,190,191,191,191,190,189,190,190,189,189,190,190,192,189,188,189,190,188,184,177,188,185,186,185,186,191,192,192,191,192,192,192,192,192,191,192,192,191,191,178,164,183,187,169,159,185,189,136,184,187,186,186,186,191,192,192,192,192,193,194,194,193,193,184,169,186,202,181,149,130,176,166,147,133,173,146,148,195,186,187,187,192,192,193,193,194,194,194,193,194,206,188,154,159,204,182,167,127,170,173,165,127,119,178,134,162,189,190,188,192,194,193,195,194,194,197,177,170,211,192,174,161,201,182,173,125,175,176,161,135,95,163,163,135,140,191,188,192,194,194,195,193,199,209,189,152,185,206,177,153,207,189,169,116,181,174,144,140,81,123,178,159,110,171,194,194,195,195,196,194,207,208,200,181,150,209,181,143,203,192,165,114,157,163,128,128,73,133,188,172,123,157,197,194,196,196,196,201,201,199,206,186,133,190,189,138,181,192,153,113,115,140,121,113,74,162,191,174,125,150,200,194,195,196,195,201,190,160,182,165,121,158,176,132,143,165,132,117,89,111,127,104,94,173,187,169,122,142,200,195,196,197,196,199,202,168,173,146,106,134,154,123,112,139,121,104,80,139,172,155,151,167,176,163,118,139,201,196,198,199,198,201,211,187,177,147,118,122,140,123,97,122,135,132,168,191,181,173,164,149,154,157,122,131,201,197,199,200,198,207,207,183,165,151,130,103,146,146,87,127,188,200,202,191,178,167,157,144,135,143,128,126,199,198,199,200,197,212,219,202,186,166,140,118,142,141,146,195,209,203,195,186,175,163,152,136,128,131,120,138,201,200,199,201,199,213,221,208,190,172,167,167,164,180,205,209,203,198,189,182,171,158,143,129,125,127,114,175,201,200,201,202,199,217,226,210,192,178,174,174,185,197,201,206,203,191,187,175,162,153,136,125,129,116,155,202,197,200,201,204,202,218,229,215,201,192,183,185,195,201,204,205,195,188,184,167,156,144,130,127,118,131,201,199,199,200,201,203,200,217,230,221,208,195,187,186,196,205,203,197,186,179,175,160,147,135,129,125,113,181,203,198,199,201,201,203,202,212,229,226,215,198,186,181,186,191,188,188,176,164,164,147,137,134,126,112,165,204,199,200,200,203,203,204,204,206,223,222,211,198,185,179,184,186,189,186,173,158,155,139,132,126,120,166,204,199,201,202,200,203,204,205,205,203,213,212,200,190,176,178,184,180,187,181,169,161,151,137,122,122,180,206,201,201,202,202,201,203,205,205,205,205,209,200,197,193,184,194,187,168,182,180,164,152,143,126,110,179,208,201,202,202,201,203,202,204,205,206,206,206,209,206,211,205,197,195,188,162,174,179,159,145,136,106,146,211,202,205,204,203,203,203,202,205,205,206,206,205,210,220,218,209,189,188,185,157,172,169,154,142,126,106,187,209,204,205,205,203,204,204,203,205,205,206,206,206,204,226,218,207,182,184,181,161,166,158,151,140,115,117,204,206,205,205,204,204,205,205,204,205,205,206,206,206,201,221,212,200,179,185,187,159,152,156,147,138,112,127,212,205,207,206,205,205,205,204,204,205,205,206,206,205,203,220,205,193,178,186,184,150,157,154,144,135,110,129,211,205,206,206,206,205,206,205,204
14,149,153,158,161,164,165,167,169,171,172,172,174,174,175,175,176,175,176,176,174,173,173,172,172,172,171,170,169,150,155,159,163,166,168,170,172,173,174,174,176,177,178,178,179,177,179,178,178,177,176,175,174,174,173,172,172,152,157,161,164,168,171,173,174,175,176,178,179,179,180,180,181,179,181,182,181,180,179,177,176,175,175,174,173,154,157,162,166,170,173,174,176,178,178,179,181,182,183,182,184,181,181,172,178,181,182,181,179,179,178,176,175,156,160,164,167,171,173,176,178,179,181,182,184,186,184,185,185,200,189,165,165,164,161,183,182,180,181,180,178,157,162,166,170,172,174,176,180,180,181,184,187,187,186,188,205,202,190,174,164,155,138,135,176,184,182,181,181,159,164,168,172,174,175,178,181,183,184,186,187,188,189,205,207,206,182,173,188,162,130,96,116,186,185,183,182,160,166,170,173,176,179,181,183,185,186,187,188,189,197,208,199,187,128,88,155,132,166,93,60,133,192,185,185,162,167,170,174,178,181,182,184,187,188,190,191,200,213,200,136,104,90,62,65,92,188,135,74,98,190,187,186,165,169,172,177,180,181,184,186,187,190,191,202,220,217,184,137,90,54,49,49,46,157,161,102,79,181,190,188,165,171,175,179,180,183,186,188,191,191,194,219,217,184,144,118,93,64,45,51,67,151,139,110,81,155,196,190,165,171,176,180,182,186,188,189,191,189,213,224,207,171,109,74,73,58,49,78,168,199,183,155,93,133,198,191,166,171,177,181,184,186,189,192,189,204,233,216,199,166,111,74,51,49,68,189,203,191,180,135,77,149,200,194,168,173,177,182,184,187,190,190,196,232,224,210,193,146,110,80,42,43,159,209,202,189,169,132,70,113,204,195,170,175,179,184,186,189,192,191,228,237,221,209,182,151,114,65,37,50,106,160,211,176,152,123,81,71,182,199,171,176,181,184,188,192,192,208,242,235,218,200,178,140,99,56,54,67,68,82,176,142,150,124,97,71,166,203,171,178,182,186,190,193,192,233,240,228,211,195,169,116,83,56,83,95,95,93,90,128,150,126,81,109,198,201,174,179,183,188,190,191,209,242,231,220,202,182,148,110,79,77,102,109,109,114,99,126,136,104,89,189,204,202,174,179,185,188,196,195,236,237,223,209,189,176,138,112,86,92,109,113,111,108,111,112,111,86,172,208,203,202,174,179,186,186,134,188,248,232,213,199,184,162,143,111,89,99,113,110,103,100,109,83,73,166,211,206,205,203,175,182,191,146,75,93,185,219,193,175,160,148,124,88,88,91,104,105,94,93,79,74,153,213,208,207,206,206,176,184,174,90,81,75,78,129,165,157,124,92,65,66,76,77,86,89,79,81,136,193,214,210,210,208,207,207,178,185,118,84,74,73,70,71,80,84,73,59,51,54,58,57,62,64,91,175,219,217,214,212,210,209,208,208,183,149,84,81,70,69,67,71,59,21,33,35,31,30,31,28,87,154,203,219,215,214,214,213,212,211,209,209,171,102,82,71,68,66,65,63,71,33,18,27,24,21,20,16,67,220,219,216,216,216,215,214,213,213,211,210,122,81,72,69,68,63,60,61,67,44,10,21,21,19,19,12,94,223,217,217,216,217,216,215,215,214,212,212,92,75,64,63,61,55,56,56,68,41,7,17,17,16,17,12,166,227,219,219,219,218,217,216,215,214,213,213,90,76,67,54,45,86,73,48,69,29,8,15,14,13,13,30,204,223,220,219,219,218,217,217,216,215,213,213
13,187,188,191,192,192,194,196,198,199,199,200,200,201,201,201,201,201,201,200,200,200,200,200,201,200,200,199,198,187,189,192,193,194,196,198,200,200,200,201,201,202,203,203,203,203,202,202,202,201,200,201,201,201,201,201,201,189,191,193,195,196,198,200,201,201,202,202,203,205,205,205,205,205,205,205,204,202,201,202,203,203,203,203,202,191,193,195,196,198,200,201,202,202,203,204,205,206,207,206,207,208,213,210,199,201,204,204,204,205,205,205,204,194,195,196,198,199,201,202,204,204,205,205,206,207,207,207,207,214,230,215,180,187,207,199,199,205,207,206,206,195,196,198,200,201,203,204,206,206,207,207,207,208,213,210,208,223,236,211,168,183,212,181,167,196,207,208,207,196,198,200,201,202,204,206,207,208,208,208,208,217,233,220,205,224,229,205,161,188,210,170,135,172,207,209,208,197,199,202,203,204,206,208,208,209,210,210,211,227,246,232,206,200,190,167,136,185,201,156,119,157,207,210,210,198,201,203,204,206,208,209,209,210,211,216,222,222,237,240,215,170,128,117,123,179,178,130,108,157,209,212,212,200,202,204,206,208,209,210,211,211,215,232,238,215,208,236,224,174,115,99,131,186,180,143,119,162,211,214,214,202,203,205,207,209,210,211,213,213,223,246,248,226,192,211,217,176,121,86,123,196,217,200,156,172,212,215,216,203,205,207,208,210,212,214,214,216,234,247,249,237,197,175,194,170,123,98,146,205,221,211,179,178,213,217,218,204,206,209,210,212,214,215,215,222,243,241,237,229,190,146,172,181,141,149,211,228,216,197,177,169,208,219,219,205,207,210,211,213,215,216,217,231,249,240,223,204,166,124,150,191,180,211,241,235,214,187,164,161,207,220,220,206,208,211,213,214,215,217,219,235,251,243,220,193,162,124,125,193,226,243,243,231,206,176,151,167,213,221,220,208,210,213,215,215,216,218,220,235,252,245,222,193,175,153,154,222,249,250,241,221,192,165,144,179,219,222,221,209,211,214,216,216,217,219,221,238,253,248,232,212,197,203,219,247,252,247,236,211,183,155,140,188,223,224,223,210,212,215,217,218,219,221,223,239,253,252,242,231,218,224,236,250,247,240,230,204,173,143,144,201,225,225,224,211,214,216,218,219,221,222,223,237,253,253,247,237,225,225,233,246,240,230,221,195,155,133,165,217,226,226,226,213,215,217,219,221,222,223,224,233,250,253,247,234,222,224,231,238,229,218,206,172,134,137,198,227,228,228,227,215,217,218,220,222,222,219,215,216,228,225,214,201,195,202,210,218,210,198,179,143,120,164,221,229,229,229,229,216,217,219,221,222,214,187,174,171,167,154,142,134,130,132,136,140,135,131,123,108,123,195,228,230,230,230,230,216,218,221,222,223,207,163,150,147,139,126,118,112,105,98,93,83,75,71,66,65,87,148,204,229,231,231,230,217,219,221,223,225,212,164,146,143,133,123,117,111,102,94,85,75,67,61,55,52,54,71,144,222,232,232,232,218,219,221,223,226,218,169,146,140,131,123,117,109,99,90,82,73,65,59,54,50,51,70,157,227,234,233,233,217,219,221,223,226,219,172,146,139,131,126,118,107,95,86,80,71,63,58,53,50,57,124,212,234,235,234,234,216,218,220,223,225,219,173,144,138,130,125,116,103,91,83,77,70,63,57,53,51,80,183,232,235,235,234,234,216,218,221,224,226,219,173,143,136,129,122,112,100,89,81,77,71,63,57,52,52,107,213,235,236,235,234,234
18,172,173,174,175,176,178,179,178,178,179,180,179,179,178,178,177,176,176,176,176,174,173,173,172,172,171,170,168,174,176,177,177,177,178,180,180,180,180,180,180,180,179,179,179,178,177,177,177,177,175,174,174,173,172,170,170,174,177,179,179,179,180,181,182,181,182,182,181,181,181,180,180,180,179,178,179,178,176,175,175,174,173,172,171,176,178,180,181,181,181,182,183,183,184,184,182,183,183,183,182,182,180,183,165,167,178,178,177,175,174,174,173,178,180,181,181,182,183,184,185,185,186,186,185,185,185,185,183,182,186,200,141,133,180,179,178,177,176,175,174,180,181,182,183,184,185,186,187,186,187,187,186,185,181,180,183,175,188,209,144,101,174,181,180,179,179,177,176,181,183,184,185,186,188,188,188,188,188,188,190,193,163,137,151,141,161,210,168,98,133,183,181,180,181,179,178,183,185,185,187,188,189,189,191,190,190,189,189,192,181,145,118,123,161,209,179,117,92,155,182,181,181,181,180,184,185,186,188,189,190,192,192,192,192,193,166,132,149,163,127,98,124,178,179,140,113,100,160,185,183,182,181,185,187,188,189,191,192,193,192,198,208,198,168,131,98,149,134,94,78,106,157,152,124,93,112,186,183,183,181,186,188,189,191,192,193,193,194,217,215,212,176,141,98,107,122,86,60,68,151,169,132,100,102,186,185,185,184,187,189,191,192,193,194,194,207,210,200,211,177,146,103,74,88,75,55,61,156,177,148,103,103,187,186,186,185,188,190,193,194,195,195,201,225,208,183,191,166,140,98,67,75,64,55,58,139,175,157,105,97,187,188,188,186,190,192,194,195,195,199,216,208,185,178,178,130,105,83,74,92,57,57,71,145,176,157,108,96,188,189,189,188,191,193,195,196,195,208,228,206,171,148,149,103,88,70,91,99,88,122,130,146,163,142,102,92,187,190,190,189,193,194,196,197,197,211,232,215,188,141,119,122,88,44,106,146,169,172,165,134,131,125,101,84,181,192,191,190,194,196,197,199,198,220,232,220,192,150,121,119,78,71,179,199,192,170,153,135,106,114,101,81,178,194,193,192,195,196,198,199,202,227,231,211,172,148,130,114,96,162,210,203,189,164,137,132,104,99,89,92,188,194,193,193,196,197,199,199,207,229,229,204,171,158,124,104,148,204,208,196,178,157,136,124,108,90,74,136,196,196,194,193,195,197,199,200,211,230,226,199,173,164,126,136,182,212,201,186,173,156,129,117,102,79,82,181,197,196,195,194,196,197,200,202,212,228,222,201,184,173,130,160,182,202,192,177,167,146,118,107,92,68,122,197,197,196,195,195,197,199,201,201,212,225,219,204,192,161,131,142,176,183,180,168,155,133,110,96,79,74,173,200,198,197,196,195,197,200,201,201,212,224,217,209,187,146,118,137,163,170,166,160,143,121,99,84,65,125,199,200,199,198,197,197,199,200,202,203,215,215,211,202,167,127,117,144,157,165,159,146,129,105,84,67,89,185,201,201,202,200,198,198,199,199,202,204,219,213,207,193,168,146,141,146,158,161,151,132,115,94,71,73,166,203,202,202,202,201,199,198,200,202,203,207,226,222,219,205,190,171,153,137,153,156,139,115,100,80,67,146,203,203,203,203,201,201,200,199,169,158,188,213,228,222,219,205,184,164,149,129,143,145,123,104,88,71,135,201,205,204,203,203,202,201,201,200,110,82,96,178,220,220,215,200,176,150,142,127,138,132,112,95,72,113,200,207,206,205,205,204,203,202,202,201
23,145,149,152,155,158,159,161,163,165,166,168,168,168,168,170,170,169,169,168,168,168,167,166,167,166,164,163,163,145,150,153,157,160,161,163,165,167,168,169,170,170,171,171,173,171,171,172,171,171,169,169,169,167,166,166,166,147,150,155,159,161,163,164,166,168,170,172,173,173,173,173,174,173,171,174,178,174,171,170,171,171,169,168,167,148,153,157,161,163,165,166,169,171,172,172,174,175,175,174,176,180,169,145,148,172,175,174,173,173,172,170,169,151,155,159,162,165,166,168,170,171,174,174,176,176,176,183,184,185,171,165,137,154,167,174,176,174,173,172,171,153,157,161,164,166,168,171,172,173,176,177,178,179,199,180,177,200,142,148,158,155,108,149,182,175,175,174,172,154,159,162,166,167,170,172,174,176,177,180,177,194,195,163,135,141,85,122,127,107,117,174,180,178,177,176,175,157,162,165,167,170,172,174,176,177,178,181,179,205,185,177,83,118,162,185,181,173,184,183,181,180,179,178,178,158,162,166,168,171,173,175,178,179,181,182,187,207,187,186,102,145,199,181,186,187,182,183,182,181,181,180,179,159,162,167,170,173,175,177,179,182,182,180,190,200,185,183,151,169,183,168,132,168,187,184,184,183,182,181,181,159,164,169,172,174,178,180,181,182,192,187,178,176,178,193,193,195,189,169,93,118,200,184,185,185,183,183,182,161,167,171,173,176,178,181,181,186,208,192,172,159,165,174,165,162,153,141,96,107,201,185,187,188,187,185,183,163,167,171,175,178,180,183,181,192,211,193,166,137,143,184,189,181,167,147,97,93,198,187,190,189,188,187,186,163,168,172,175,178,181,184,182,203,211,196,166,145,142,154,158,164,177,157,97,76,195,192,190,189,188,188,187,164,169,173,177,179,182,184,187,212,214,199,179,178,181,163,137,123,132,124,84,72,190,195,191,192,190,188,188,165,170,176,178,180,184,183,194,216,211,197,179,179,165,178,163,142,128,96,76,64,107,179,202,192,194,191,189,167,171,176,180,182,185,187,207,214,212,200,171,160,131,160,179,147,119,85,68,77,112,106,172,202,193,193,192,167,172,177,181,183,182,197,219,216,210,181,125,115,112,105,139,162,119,72,65,77,105,73,61,186,199,193,194,168,173,178,181,184,184,214,224,213,190,169,137,97,75,65,164,188,104,72,59,74,86,70,48,133,207,193,195,168,174,178,183,181,209,228,219,204,178,166,140,100,73,130,172,151,89,62,67,82,85,69,57,155,204,194,195,170,175,179,181,190,229,225,213,190,176,166,129,93,76,115,116,100,70,52,77,93,82,68,146,205,198,197,196,171,176,181,177,212,233,218,207,189,177,155,125,88,54,59,62,75,71,66,80,79,91,171,210,200,200,199,198,172,177,180,190,231,225,217,198,180,167,147,112,83,62,75,85,91,86,80,65,124,195,208,200,202,200,200,200,172,176,177,225,230,214,203,186,172,157,131,101,81,71,91,99,99,84,72,148,213,207,202,202,202,201,201,201,171,173,194,240,217,203,190,173,158,140,120,97,79,77,95,92,77,63,161,218,205,205,205,203,202,202,202,201,181,174,211,233,211,195,183,167,148,133,115,95,75,75,88,69,75,171,215,206,208,207,206,205,204,202,202,202,61,132,235,216,205,183,161,156,141,119,104,82,68,62,65,106,191,218,208,208,207,207,206,206,205,204,204,203,24,120,216,201,199,170,161,150,107,92,73,50,49,98,159,213,213,207,209,208,208,207,207,207,206,205,203,203
18,152,155,158,160,163,165,168,169,172,173,175,175,176,176,177,178,179,180,180,180,180,180,181,181,180,180,180,179,154,156,159,162,164,167,170,172,173,175,177,177,177,178,178,180,181,181,182,182,181,181,182,182,182,182,182,181,156,158,161,164,166,169,172,174,176,177,179,179,180,181,181,182,183,183,183,183,183,184,184,184,185,185,184,184,159,161,163,166,168,171,175,177,178,180,181,182,183,183,184,185,185,185,184,185,186,187,187,187,187,187,187,186,160,162,165,168,171,174,177,179,180,182,183,184,185,186,187,187,187,181,172,176,186,188,188,188,189,189,188,188,161,164,167,170,173,175,178,180,182,184,185,186,187,187,183,181,189,171,141,139,166,172,172,183,191,190,190,190,163,166,169,172,174,177,179,181,184,186,187,188,189,187,166,152,169,152,115,105,117,141,139,151,185,192,192,192,165,168,171,173,176,179,181,184,186,188,188,182,181,191,163,140,153,146,117,105,101,129,132,119,163,194,194,194,167,170,173,176,179,181,183,186,187,190,193,172,150,163,169,153,155,160,150,142,131,125,119,104,142,193,196,196,168,171,175,178,180,182,185,187,189,193,200,183,153,136,156,158,143,161,173,173,164,135,101,89,137,194,199,199,169,172,176,179,182,184,187,189,191,195,193,191,170,135,128,145,129,138,167,173,171,142,99,82,141,196,201,201,171,173,177,180,183,185,188,190,192,193,172,171,166,136,105,119,123,117,138,151,166,148,107,85,148,198,201,201,172,175,179,182,185,187,189,191,194,193,159,143,148,119,86,96,108,94,103,132,169,161,120,94,158,200,201,202,174,176,180,183,186,188,191,193,196,199,173,146,135,101,74,83,94,77,79,113,174,174,134,102,158,201,203,202,175,178,181,184,186,189,192,195,198,200,176,144,125,96,70,78,89,69,81,132,184,185,146,105,129,194,204,204,176,179,181,184,187,190,193,195,198,201,185,153,124,97,73,78,89,86,133,183,196,183,146,108,108,182,207,207,178,180,183,185,188,191,194,196,199,205,195,165,131,105,87,83,96,138,191,206,198,172,135,106,110,183,208,208,179,181,184,187,189,192,195,197,200,207,199,172,142,120,107,105,132,185,211,205,186,158,120,97,119,192,208,208,181,182,184,188,191,194,197,199,201,206,201,180,156,137,123,120,155,201,213,196,167,140,109,92,134,200,209,209,180,183,185,188,191,194,197,200,200,204,201,184,162,143,131,126,158,201,210,186,155,127,101,93,151,206,210,210,181,184,186,189,192,195,198,201,201,201,199,186,165,149,144,132,151,197,203,174,142,115,95,98,169,210,211,211,182,184,187,191,193,196,199,200,201,200,196,189,172,159,154,135,142,190,189,159,127,104,90,109,186,212,213,213,182,184,187,191,194,197,199,199,201,200,195,189,176,162,157,138,135,180,175,143,115,96,88,125,200,214,214,214,182,184,187,190,193,195,197,199,201,201,197,191,179,162,152,134,128,167,159,127,106,93,90,145,208,214,214,214,181,183,186,189,193,194,197,199,201,201,201,195,178,156,139,120,117,150,139,112,99,92,103,171,211,214,214,214,181,183,187,190,193,195,197,200,201,198,203,195,171,147,125,109,116,138,124,108,99,95,133,196,212,213,214,214,182,184,187,191,194,196,199,201,200,199,207,195,172,151,128,118,123,134,117,108,97,108,171,209,213,214,214,214,182,185,188,191,195,197,199,201,200,201,210,199,179,160,134,124,129,129,115,105,93,133,197,212,214,214,215,215
20,170,173,177,181,183,184,185,188,188,190,191,192,192,192,193,193,194,193,193,193,192,192,192,192,192,191,190,188,172,175,179,182,184,185,187,189,190,192,193,193,194,194,195,194,194,197,196,195,194,193,193,193,193,192,192,190,174,177,180,183,185,187,189,190,192,194,194,195,197,198,194,212,191,180,199,198,197,196,197,197,195,194,193,192,176,178,182,185,187,189,191,192,194,195,196,198,198,199,193,226,187,163,191,177,202,198,198,198,197,196,195,194,178,180,183,187,188,191,194,194,195,196,198,199,200,201,196,225,185,182,206,150,202,200,199,199,199,198,197,196,179,182,185,188,190,192,194,196,197,198,200,200,200,202,198,231,198,184,220,152,197,203,201,201,201,200,199,198,180,183,186,189,191,193,196,198,199,201,201,201,203,203,200,236,198,187,231,162,192,206,203,204,203,202,201,200,181,185,187,190,193,195,198,199,200,201,203,203,202,202,209,234,188,199,231,163,188,210,205,205,204,203,202,201,183,186,189,192,194,197,199,201,202,203,205,204,220,214,194,236,187,207,227,155,187,212,205,206,206,205,204,203,184,188,191,193,196,198,200,202,204,204,203,211,246,228,168,171,175,206,223,155,192,212,208,207,207,206,205,204,186,189,192,195,198,200,202,204,204,208,237,230,185,204,191,160,151,179,201,157,198,213,210,208,208,207,206,205,187,190,193,196,199,202,204,206,202,223,232,226,212,191,213,221,187,143,165,151,202,214,210,210,210,209,207,206,189,192,195,197,200,203,204,207,204,226,211,159,189,144,178,229,198,146,135,139,204,214,212,211,211,211,209,208,190,192,196,198,201,204,205,209,205,229,203,153,145,125,125,205,225,174,132,132,203,216,214,213,212,212,211,209,190,193,197,199,202,205,206,209,206,231,222,197,165,144,140,170,245,203,144,125,205,219,215,214,214,213,213,211,192,194,198,201,203,206,208,210,207,238,233,185,157,150,163,171,245,225,166,123,198,221,215,215,215,214,214,212,192,195,199,202,204,207,210,212,209,239,222,180,163,166,171,202,248,228,184,131,193,222,216,217,216,216,215,213,193,196,199,202,204,207,210,212,211,240,231,194,178,179,187,235,248,219,187,135,193,224,218,219,217,216,216,215,193,197,200,203,206,208,211,214,212,240,237,207,181,192,206,248,245,213,180,138,194,227,219,219,218,218,218,216,193,197,200,203,206,208,212,215,212,238,244,215,191,196,224,248,236,209,177,137,196,227,219,220,219,218,218,218,193,197,201,203,205,209,212,215,211,236,246,217,207,198,234,247,225,205,170,132,192,227,219,220,219,218,218,217,196,200,203,204,207,210,213,216,214,231,247,224,222,208,228,242,218,199,169,125,192,228,219,220,220,219,220,216,197,199,202,204,208,211,213,217,216,223,245,231,227,220,211,228,203,193,162,122,195,229,221,222,222,219,221,223,197,199,203,206,209,210,213,216,217,217,241,240,227,210,196,208,189,193,159,124,209,227,221,223,221,226,220,189,199,201,205,208,210,213,214,218,225,224,241,239,216,189,175,193,186,189,146,136,227,224,223,222,228,210,152,123,190,195,199,202,206,210,215,213,182,160,227,230,197,175,167,196,185,178,123,177,241,228,229,233,207,141,124,118,149,150,152,153,155,156,159,165,112,56,192,236,203,174,174,209,171,154,108,123,179,183,184,186,140,117,115,107,128,132,135,136,134,132,134,146,152,106,145,220,199,175,188,209,148,132,91,67,116,134,135,142,124,104,100,102
24,129,130,132,133,134,134,135,135,135,136,135,135,135,135,135,133,132,132,131,131,130,129,128,127,126,125,124,124,130,132,134,134,135,135,136,137,137,136,136,136,136,135,135,135,134,133,134,134,131,130,130,130,129,127,127,125,131,133,134,135,136,137,137,138,139,138,138,139,139,138,137,136,135,136,134,134,133,132,131,131,131,129,128,127,132,133,135,136,137,138,138,139,139,139,139,139,139,139,138,138,137,136,134,135,134,134,133,132,131,130,129,129,133,133,136,136,137,136,139,141,141,140,140,140,140,140,139,137,137,136,136,136,135,134,134,133,133,131,131,130,134,134,137,135,147,125,106,145,140,141,141,141,140,140,140,139,139,138,137,136,137,136,135,134,134,133,132,131,135,136,138,136,154,108,93,147,140,142,141,142,141,141,140,140,139,139,137,137,137,136,136,135,134,133,133,132,135,136,138,139,151,91,104,148,141,142,143,143,144,142,140,140,140,139,139,138,138,137,136,136,135,135,134,133,136,138,138,144,149,90,112,149,142,144,143,141,138,144,143,141,141,140,140,140,139,138,137,136,135,136,134,134,138,139,139,147,148,88,115,154,144,143,149,147,122,99,142,144,141,141,140,141,141,140,141,139,136,136,136,135,139,140,140,148,138,103,119,128,147,117,118,149,135,98,85,143,144,142,142,141,133,123,117,133,140,137,137,136,139,142,141,151,146,150,145,123,159,122,87,140,144,107,58,102,149,142,139,125,96,83,72,96,144,139,138,136,139,143,142,150,150,166,146,140,159,133,84,135,139,99,59,74,144,141,135,103,74,75,96,119,141,139,138,137,141,143,143,151,145,171,150,149,164,129,72,104,111,79,45,55,127,142,122,86,72,127,144,142,140,140,139,138,142,146,143,154,167,169,143,151,170,120,77,36,76,103,83,91,124,124,96,74,116,151,142,142,142,141,140,139,142,146,145,159,163,154,128,117,144,98,64,61,131,145,134,126,123,101,73,93,148,144,145,144,143,142,141,139,143,144,149,157,137,140,120,89,86,88,123,160,156,141,130,115,107,94,74,137,148,145,146,145,145,143,141,140,144,144,153,168,146,135,124,111,84,160,173,161,153,139,118,104,94,84,107,153,146,147,145,145,145,143,142,142,145,143,158,173,154,136,123,131,164,178,163,158,149,129,108,92,89,84,143,151,147,147,146,145,145,144,142,143,145,144,165,176,158,148,148,169,179,172,165,154,139,118,94,91,76,106,156,149,150,148,147,146,146,145,144,143,146,144,169,177,162,154,166,178,177,168,162,144,124,102,91,83,83,147,152,150,150,149,148,147,146,147,145,144,147,145,169,181,165,156,170,176,165,151,145,129,107,94,85,80,138,156,152,152,151,150,149,148,147,147,146,144,147,145,164,184,168,154,162,164,157,138,128,113,96,87,83,137,158,152,153,152,151,151,150,150,148,147,146,145,148,147,158,170,157,153,165,166,157,139,127,106,87,70,130,161,154,155,154,152,152,152,151,150,149,149,147,146,148,149,153,158,152,159,163,157,154,133,117,97,66,90,160,155,156,155,155,153,153,152,151,150,150,149,147,146,148,150,151,163,170,163,159,149,151,130,110,86,59,126,162,157,157,156,156,154,153,153,152,151,150,148,148,148,148,149,151,172,171,152,157,149,140,124,108,77,67,149,160,158,157,158,157,155,154,154,152,152,151,151,149,147,146,148,150,178,170,144,162,144,132,125,103,80,70,151,159,156,157,157,156,155,153,153,152,152,151,150,149,147
20,167,171,176,181,184,185,187,190,191,193,195,196,196,196,197,198,198,197,197,197,196,196,196,196,195,194,192,190,170,174,178,182,185,187,190,191,193,195,196,197,199,199,200,198,199,202,200,200,198,197,197,198,197,196,195,193,172,175,180,184,187,189,192,194,196,198,198,199,202,203,198,222,194,180,204,204,202,201,202,202,199,198,197,196,175,177,182,187,189,192,194,196,198,199,201,203,204,205,197,240,189,158,194,176,209,203,204,204,202,202,199,198,177,180,184,189,191,194,198,198,199,201,203,205,206,208,201,239,187,183,214,141,208,206,205,205,205,204,202,201,179,182,186,190,194,196,199,201,202,204,206,206,206,209,203,246,204,186,233,143,202,210,207,207,207,206,204,203,180,184,188,192,195,198,201,204,205,207,207,207,210,211,206,254,204,189,247,157,196,213,211,211,210,208,207,206,182,186,189,193,197,199,203,205,206,208,209,210,208,209,218,251,191,205,246,158,190,219,213,213,211,210,209,207,184,188,192,196,199,202,205,207,209,210,212,211,233,224,199,253,190,216,242,148,189,221,213,214,214,212,211,210,186,190,194,198,201,204,206,209,211,211,210,221,255,243,164,168,174,214,237,148,196,222,217,215,216,214,213,212,188,192,196,199,203,206,209,211,211,216,255,246,187,211,195,154,142,179,207,150,203,224,219,217,217,216,214,213,190,193,197,201,205,209,212,214,209,236,248,240,221,194,224,233,189,131,160,142,209,224,219,219,219,218,215,214,191,195,199,203,206,210,212,215,211,240,220,152,192,133,178,244,204,135,122,127,211,224,222,220,220,220,218,217,193,196,201,204,208,211,213,218,213,244,210,145,134,108,108,212,239,172,117,117,210,227,224,223,222,222,221,219,193,197,202,205,209,212,214,219,214,246,235,203,161,132,128,166,255,210,133,109,213,230,226,225,224,223,223,220,195,198,203,207,210,213,217,220,216,255,249,186,149,141,158,168,255,238,161,105,204,233,226,226,225,225,224,222,196,199,205,209,211,215,219,221,218,255,235,180,158,162,168,209,255,243,185,115,197,235,227,228,227,227,226,224,197,201,205,209,212,216,220,223,221,255,246,199,178,179,189,251,255,232,189,120,196,237,229,230,229,228,227,226,197,203,206,210,213,217,221,225,221,255,255,215,181,196,214,255,255,223,181,125,198,241,231,232,230,229,229,227,197,202,206,210,214,217,221,226,222,255,255,226,195,201,238,255,253,218,176,123,200,241,231,232,231,230,230,229,198,203,207,211,213,217,222,226,221,254,255,228,215,204,250,255,239,212,168,117,196,242,231,232,230,230,230,228,201,206,210,212,215,219,223,228,225,247,255,237,234,217,243,255,229,205,166,108,195,243,232,233,232,231,232,227,202,205,208,212,217,220,224,228,227,236,255,247,242,232,220,242,210,198,156,104,199,244,233,235,235,231,233,237,202,205,210,213,218,220,224,228,229,228,255,255,241,220,200,217,191,197,152,106,218,242,234,237,234,240,233,191,205,208,212,217,219,223,225,230,239,238,255,255,228,191,174,197,188,191,136,122,242,237,236,235,243,219,143,105,193,200,205,209,215,220,225,223,183,154,242,246,202,174,163,201,187,178,105,176,255,242,244,249,216,129,107,99,139,141,144,144,147,149,152,160,91,18,195,253,210,172,172,218,168,147,86,106,178,184,185,188,128,97,95,84,112,118,121,122,120,118,120,135,143,83,134,233,205,173,190,217,138,117,63,32,96,119,121,130,107,80,75,79
20,71,74,78,85,102,116,122,126,134,140,144,147,151,158,151,160,163,160,161,160,161,160,161,160,159,159,158,156,71,75,78,86,105,120,125,130,139,145,148,152,154,182,130,127,157,165,165,165,164,164,164,163,162,162,162,160,72,76,79,89,108,122,128,134,144,150,154,159,159,195,139,129,131,134,177,168,169,168,168,168,166,165,166,165,73,77,80,92,111,124,130,137,148,154,158,164,163,200,141,133,163,96,171,175,173,172,172,172,170,169,169,168,73,78,80,94,113,126,132,140,151,157,162,167,168,196,139,117,179,90,144,185,176,178,177,175,174,174,173,171,74,78,80,96,115,128,134,142,153,159,164,170,172,197,160,106,173,110,120,190,180,182,181,179,178,178,177,176,74,78,81,99,117,130,135,144,155,162,166,172,172,200,167,101,172,139,106,188,186,185,184,184,183,182,181,180,75,78,82,101,118,131,137,147,157,164,170,175,176,203,156,97,166,145,96,183,191,188,188,187,186,186,185,184,76,78,83,102,119,133,139,148,159,167,172,178,179,210,168,98,167,167,98,176,196,191,191,191,190,189,188,187,76,78,84,103,122,135,140,150,161,169,174,178,181,203,164,96,156,179,105,166,201,193,193,193,193,193,192,189,77,79,85,105,124,136,141,153,164,170,178,177,155,186,127,84,150,175,103,155,206,196,196,196,196,195,191,191,76,79,86,106,125,137,144,155,166,172,184,205,182,178,155,85,133,168,99,142,209,197,197,196,197,200,204,199,76,77,87,109,128,139,145,157,167,170,185,220,208,148,154,136,108,115,88,131,207,197,204,209,203,187,149,95,77,77,88,110,129,141,146,157,176,165,161,168,198,158,100,128,142,102,70,107,215,205,179,139,104,73,49,51,75,77,90,112,130,142,148,157,195,212,176,117,150,195,117,76,124,138,94,79,151,102,63,49,48,58,63,59,74,75,89,112,131,141,148,160,188,189,200,149,100,179,185,89,95,145,141,94,53,46,48,53,53,46,61,57,72,74,89,112,132,141,147,162,180,125,134,164,141,146,187,113,93,135,153,129,76,47,49,41,58,46,49,58,72,74,90,113,133,142,149,163,189,161,114,103,152,141,102,95,88,97,142,142,107,63,53,40,44,54,44,50,68,69,89,114,135,144,152,165,194,168,112,96,104,113,108,124,129,120,143,138,120,81,40,57,38,45,45,46,95,97,102,112,124,131,138,144,181,161,124,120,122,131,147,165,188,191,163,115,111,81,22,51,52,38,44,41,100,101,101,98,101,102,106,97,144,192,161,127,125,151,168,195,211,192,157,112,95,71,17,35,56,47,44,37,101,103,105,107,107,107,110,105,125,198,172,142,127,159,168,202,209,187,152,113,92,70,23,23,49,49,48,41,103,105,105,107,107,109,111,109,113,191,188,166,128,164,167,196,200,172,143,114,92,70,36,16,38,50,48,45,103,104,104,105,105,107,109,112,106,173,194,176,134,164,164,177,193,171,139,113,92,62,46,18,25,48,46,44,102,102,104,104,105,106,107,110,104,141,191,178,145,167,149,155,178,180,140,108,91,49,50,29,14,41,47,40,102,103,104,103,106,106,107,109,110,110,171,188,160,168,145,135,166,170,132,99,85,40,49,42,15,25,48,36,102,103,104,104,105,106,107,107,110,106,127,185,170,160,145,119,140,149,120,100,68,15,45,50,29,14,38,44,101,102,103,103,104,105,106,106,107,110,105,168,179,156,138,122,118,133,119,104,41,11,32,52,39,20,23,42
12,174,175,177,178,179,178,178,179,179,181,180,179,179,178,180,181,178,174,175,173,173,173,171,170,169,168,166,164,175,179,180,180,181,181,180,180,181,182,182,182,180,180,171,157,168,179,175,175,175,173,171,171,171,169,166,165,177,179,179,181,182,182,183,183,182,183,181,170,179,183,138,113,94,159,184,178,179,176,172,172,172,171,168,166,179,181,181,182,182,183,183,184,182,184,167,124,107,146,149,126,93,101,167,136,125,156,179,172,172,170,169,167,180,182,182,183,183,185,184,184,182,191,165,137,104,95,162,134,112,90,88,112,98,77,156,180,173,172,170,168,181,182,183,183,185,185,186,186,184,195,175,149,129,87,157,144,119,95,69,108,104,62,99,186,174,173,171,169,182,183,183,184,186,186,186,186,190,197,189,157,134,90,132,149,121,99,60,104,101,69,74,183,175,174,173,171,184,186,185,186,187,186,187,186,197,177,196,163,136,97,104,149,123,100,61,91,108,71,76,184,175,175,173,173,184,185,186,186,186,187,184,183,174,120,162,170,128,104,90,150,125,103,67,83,110,69,91,188,175,177,175,174,183,185,186,186,187,184,183,189,158,104,96,165,134,103,72,145,137,109,79,61,95,63,126,189,176,177,177,175,185,186,187,187,187,197,197,178,134,102,69,141,136,93,62,135,163,131,92,58,79,55,145,188,178,179,177,175,186,187,189,187,195,196,173,162,125,114,73,119,138,103,73,143,178,138,95,67,87,70,165,185,180,179,177,176,187,187,188,187,207,186,147,162,133,122,81,91,148,137,91,113,158,115,74,66,93,67,150,191,181,179,178,176,187,187,186,194,191,168,129,128,142,116,82,70,154,146,114,58,57,56,52,84,92,50,89,194,180,180,179,177,188,188,188,195,183,154,130,93,127,123,99,61,131,146,106,61,40,72,82,82,65,58,62,179,185,181,179,178,186,189,189,192,194,170,146,112,98,134,100,66,48,97,100,63,84,107,120,102,75,64,75,184,183,183,180,179,188,190,191,193,197,176,150,125,94,115,94,84,43,103,162,140,132,123,129,108,81,48,118,196,182,184,181,179,189,190,192,194,199,184,158,134,108,88,105,112,79,157,189,173,149,130,124,101,75,45,153,195,184,184,181,179,188,190,191,196,192,176,155,133,107,89,96,108,127,185,180,163,143,127,111,96,66,52,177,189,185,184,182,180,190,191,193,194,180,167,155,133,102,112,87,117,170,178,170,153,136,121,104,92,51,102,198,184,186,183,182,181,190,192,193,192,180,169,158,130,104,123,107,158,173,172,165,145,128,112,97,72,64,182,191,187,186,185,182,182,191,193,193,194,184,168,159,135,118,115,117,164,163,170,161,139,117,101,91,51,112,204,187,188,186,186,185,182,191,193,193,195,187,172,161,144,124,104,115,162,158,161,146,129,104,90,76,46,171,197,191,189,188,187,185,184,190,193,194,195,192,181,162,142,122,99,108,149,149,144,132,110,90,82,48,96,204,192,191,189,187,187,186,185,190,193,195,195,194,180,160,144,127,111,109,137,140,126,114,100,83,64,52,180,197,192,190,188,188,187,186,184,192,193,195,195,197,173,149,137,122,121,112,129,142,127,110,95,80,40,136,204,191,192,191,189,187,187,188,186,193,194,196,194,197,172,152,144,137,136,124,129,139,125,106,90,58,83,201,194,194,193,192,191,189,187,187,187,193,194,195,190,194,173,155,155,148,138,130,131,136,118,87,77,51,156,204,194,196,194,193,192,191,188,187,186
5,146,152,156,158,164,169,173,177,180,182,182,186,188,189,190,191,192,192,191,190,190,189,189,189,187,186,186,185,147,153,157,159,166,172,176,179,178,193,189,151,192,190,192,192,194,194,193,193,192,191,190,190,188,188,188,187,148,156,159,162,168,173,178,181,175,214,184,138,192,193,193,193,194,194,194,195,193,193,192,192,191,189,189,188,149,157,159,162,169,173,177,179,186,234,143,158,197,193,194,195,195,195,195,192,194,191,193,193,192,191,190,188,150,157,160,161,169,176,181,176,213,233,125,180,197,195,196,197,197,194,195,207,221,150,174,198,193,193,190,190,152,159,158,176,172,170,183,174,234,221,133,191,196,197,197,200,195,201,233,218,177,139,186,198,194,193,192,191,152,161,152,212,182,138,189,179,248,202,140,197,197,198,201,197,207,250,221,147,146,191,199,196,196,195,193,192,153,162,152,218,175,134,189,186,255,183,142,202,199,200,198,208,249,226,158,140,195,203,198,197,197,196,195,194,155,163,157,234,161,145,188,196,255,170,137,204,198,199,209,243,212,151,148,200,205,200,200,199,198,197,196,194,156,163,161,233,170,138,188,201,245,184,130,196,202,201,237,222,142,137,199,206,203,202,201,201,199,199,197,195,156,166,159,221,200,130,187,197,242,187,123,191,206,212,226,176,127,181,212,202,204,204,204,201,202,201,199,198,158,167,161,203,226,136,151,193,234,186,110,170,203,190,173,140,156,208,202,204,207,206,204,203,197,199,201,199,160,166,164,186,232,186,165,153,206,208,142,123,144,148,134,141,196,197,229,235,231,227,219,206,146,169,212,198,161,167,170,176,200,213,206,176,175,195,150,124,125,132,131,163,183,209,203,189,201,219,206,188,157,130,188,206,161,168,170,176,180,190,210,224,228,202,152,121,120,124,144,149,151,170,136,128,213,226,185,157,142,135,185,208,162,168,169,176,186,185,190,232,254,228,168,120,121,121,131,142,134,115,148,205,239,190,139,153,192,206,208,204,164,169,171,178,185,193,192,212,249,241,182,126,118,116,122,131,114,156,223,215,211,146,134,209,215,208,208,207,165,170,172,180,186,192,198,196,236,253,207,143,115,116,114,112,101,161,194,200,210,140,167,220,209,209,209,208,166,170,173,181,187,192,199,197,228,255,223,168,121,111,110,118,132,157,167,194,198,135,187,219,211,211,210,208,165,170,173,181,186,190,197,198,212,255,239,194,137,110,112,122,134,167,185,180,183,135,195,219,211,212,211,209,164,170,172,179,186,191,196,198,209,255,251,217,159,115,113,120,146,181,184,160,151,126,200,218,213,211,210,209,164,170,172,179,187,194,200,200,208,255,253,227,179,127,111,128,160,185,176,143,127,153,218,215,215,211,210,210,166,172,172,181,188,193,198,200,206,255,255,230,198,145,117,120,165,178,168,132,128,210,220,216,215,213,211,211,165,172,173,179,186,193,197,201,203,242,255,234,211,166,133,116,153,171,155,125,143,222,215,215,214,213,210,210,163,170,173,181,188,195,200,207,206,234,252,245,222,192,150,125,129,155,142,122,181,230,221,221,221,218,216,218,156,160,164,168,170,175,178,183,176,225,255,255,232,199,156,134,126,141,130,128,178,186,182,182,182,182,183,172,124,124,124,126,124,122,122,127,111,209,255,255,228,184,151,137,129,130,130,124,115,114,111,112,113,110,106,159,129,130,130,130,131,128,130,135,119,205,255,245,206,156,140,133,130,133,129,122,122,122,121,121,117,124,202,243
18,156,159,160,161,162,163,166,167,167,168,169,171,172,172,173,175,175,175,176,177,177,177,178,176,176,176,176,176,157,158,161,162,163,165,167,168,168,170,170,171,172,173,174,176,177,176,175,176,178,178,179,179,178,178,177,177,158,160,162,164,165,166,166,168,169,170,171,171,171,173,174,178,180,176,176,177,176,177,180,180,180,178,177,177,159,159,164,164,165,167,167,169,171,171,172,172,174,174,175,165,161,181,176,179,179,178,181,180,180,180,179,179,159,161,165,164,165,167,168,168,170,172,173,175,178,174,185,163,118,150,183,178,179,182,179,178,180,180,181,181,159,161,164,165,165,166,169,170,170,173,175,168,154,173,179,174,122,83,160,182,161,152,175,182,180,181,179,180,159,160,163,165,166,167,170,172,172,175,188,169,132,135,184,159,137,95,108,145,138,122,125,188,180,181,180,180,159,161,164,165,166,167,169,168,162,188,189,169,139,118,198,174,161,130,96,101,125,120,87,169,185,181,181,180,160,162,165,166,166,165,181,172,130,168,192,164,136,135,196,195,179,138,101,88,110,111,79,143,191,181,182,181,161,163,165,167,164,179,199,172,127,155,193,164,127,151,187,190,176,138,97,77,92,102,75,144,192,181,183,182,162,164,164,167,164,186,202,173,127,144,192,167,117,164,187,188,173,136,96,68,81,90,74,160,189,181,183,183,163,165,165,166,168,177,193,175,131,133,192,165,106,133,174,195,169,130,92,68,74,76,88,176,187,182,184,183,163,165,167,164,174,189,175,173,140,118,173,153,105,70,146,201,162,125,87,71,68,68,111,191,182,184,184,185,162,165,167,169,180,172,154,146,133,88,125,125,93,33,161,204,159,118,83,72,73,71,125,193,181,185,185,186,164,165,164,178,191,159,147,121,104,76,100,113,65,78,203,189,156,120,87,66,73,71,139,194,183,186,186,186,164,167,165,179,199,171,150,127,123,78,100,114,130,189,203,181,150,121,90,75,78,80,172,189,185,187,187,187,165,168,162,190,196,169,150,132,124,107,112,161,214,190,177,172,145,112,86,79,68,102,193,184,186,186,186,185,166,165,166,203,189,168,151,135,133,134,153,214,209,183,159,159,136,101,83,82,77,160,190,184,184,185,184,183,166,164,175,207,184,168,160,143,141,136,196,217,201,176,146,146,126,91,86,77,144,192,184,186,185,185,185,184,167,163,183,207,183,176,168,144,146,175,215,208,190,169,139,133,117,88,76,119,193,184,186,186,187,186,186,185,167,164,184,208,186,181,172,146,165,202,204,199,184,155,132,123,106,81,87,180,188,186,186,186,187,187,186,187,167,165,179,204,189,184,172,154,176,201,194,181,179,145,126,114,97,72,141,193,185,187,186,187,187,187,187,187,168,166,177,204,191,182,170,166,176,197,181,175,158,142,115,106,86,92,187,186,187,187,187,188,189,187,186,187,168,164,181,201,185,175,167,170,174,187,170,171,144,135,107,98,72,133,197,185,187,188,188,188,189,188,186,185,168,164,187,187,172,170,164,169,178,177,159,170,154,121,102,91,75,171,189,186,187,187,188,189,189,188,187,186,168,165,189,170,163,167,165,167,178,170,159,169,153,115,98,77,113,195,183,187,188,187,187,188,189,187,187,187,167,165,197,182,173,174,176,175,182,164,155,160,138,109,89,85,176,189,187,189,188,188,188,189,189,188,187,188,165,168,206,191,174,178,183,179,185,149,148,147,122,102,77,147,195,186,188,188,189,189,189,189,189,189,188,188
1,199,200,201,201,201,203,205,204,205,206,206,203,190,201,204,203,203,202,201,201,200,200,199,197,195,195,194,193,201,203,203,203,206,207,207,207,208,211,213,208,165,153,212,206,209,206,205,206,204,203,202,202,201,201,199,196,204,206,207,207,209,209,209,211,211,199,194,219,183,109,137,158,210,212,209,210,208,207,207,205,203,203,203,200,207,208,210,209,211,212,213,213,216,192,128,203,198,99,117,135,163,224,209,211,210,209,208,208,206,204,204,203,209,211,212,212,214,215,217,216,216,209,129,175,204,108,126,159,112,220,215,215,214,212,211,209,209,208,207,207,211,214,215,217,217,217,217,220,218,220,142,144,210,131,138,173,103,200,223,216,216,215,215,215,212,211,210,210,214,216,216,217,218,219,220,210,207,226,161,125,192,131,146,192,116,178,229,217,219,218,217,217,216,215,213,211,216,218,218,218,219,222,224,189,146,226,177,107,176,133,136,190,123,166,234,219,222,220,218,218,218,218,216,213,218,219,220,221,222,224,226,205,125,205,181,100,183,159,106,193,142,155,235,221,223,221,221,221,220,220,218,218,219,221,223,223,224,224,228,208,128,190,203,114,160,171,103,189,172,146,237,222,224,223,222,224,223,223,220,219,220,223,224,224,225,225,229,214,131,178,214,118,117,155,144,185,146,132,227,228,227,226,225,225,225,224,224,223,222,226,227,226,228,227,229,217,146,140,206,119,121,147,148,170,124,121,124,161,238,226,226,225,225,224,223,224,225,227,228,228,231,231,227,226,161,115,186,145,150,140,151,164,155,131,98,104,216,233,228,228,227,224,225,225,225,227,229,230,231,233,228,223,177,153,168,142,152,140,171,196,154,108,147,134,159,242,227,229,229,227,226,225,227,230,230,232,232,233,234,229,197,164,155,136,148,151,176,186,161,160,212,180,132,224,233,230,230,230,228,227,228,230,233,233,234,234,235,235,203,160,140,133,145,155,185,193,196,188,173,192,126,171,244,228,230,230,229,230,230,231,233,232,235,236,234,238,215,167,128,135,149,160,199,202,224,221,185,155,106,110,239,232,231,231,230,230,231,233,234,235,236,239,234,237,237,186,136,138,151,179,198,207,218,211,184,152,100,95,230,237,234,231,231,232,231,232,236,237,235,238,238,234,245,214,162,133,154,188,204,221,225,208,182,160,96,124,243,234,236,233,233,233,232,234,237,239,239,240,242,229,247,236,193,147,149,178,213,232,227,211,198,157,88,164,252,235,237,237,236,233,233,234,238,239,241,241,244,229,243,246,213,167,157,175,214,238,230,223,195,141,87,203,247,237,238,238,236,233,234,237,238,240,241,240,243,235,230,240,227,181,168,174,209,227,239,222,177,121,101,236,241,239,240,239,238,235,235,239,239,240,241,240,242,243,215,227,229,193,168,167,198,221,222,193,149,95,133,255,241,240,240,240,239,237,233,237,237,239,240,240,241,245,222,208,214,195,177,169,178,194,184,147,111,85,202,251,240,240,240,240,240,238,234,238,237,239,240,241,241,242,240,202,203,196,182,178,155,158,163,130,83,148,252,241,242,240,240,239,238,236,235,238,238,239,240,241,243,243,246,217,211,194,176,172,143,143,148,111,86,223,248,241,241,240,240,239,238,236,236,238,238,239,240,241,242,243,246,222,213,183,167,169,152,144,129,89,120,249,241,243,242,241,241,241,240,237,235,237,240,240,240,241,241,243,249,219,222,210,189,188,165,152,120,81,144,255,242,244,245,242,241,241,240,237
20,191,192,193,192,194,196,196,198,198,197,197,197,197,197,196,194,192,194,191,189,189,187,184,183,180,179,176,174,195,197,198,198,199,200,201,201,201,201,201,201,201,201,199,209,195,147,201,197,192,191,189,186,185,183,180,178,201,202,202,203,204,205,204,205,205,206,206,206,206,206,203,215,208,119,161,189,200,194,193,192,190,187,185,183,205,206,208,208,208,208,210,210,211,212,211,210,210,210,208,214,210,113,94,125,192,202,198,196,194,192,189,187,209,210,211,212,212,214,214,215,216,217,215,214,216,216,212,224,205,96,135,136,155,213,201,201,199,197,193,191,215,216,217,217,217,219,219,219,219,219,218,219,220,221,215,229,200,92,167,160,123,217,205,205,202,200,197,195,218,220,220,221,222,222,224,223,223,223,224,224,224,224,219,238,208,104,172,171,115,216,210,209,206,205,202,198,222,224,224,225,226,226,226,226,227,226,227,227,227,226,221,248,192,97,180,200,120,209,217,212,211,210,207,202,226,227,227,226,229,229,229,230,229,230,230,230,231,231,233,255,169,99,203,199,112,203,224,216,214,212,210,208,229,230,231,231,232,233,235,234,234,233,232,235,234,216,212,254,180,122,223,195,103,197,226,219,219,216,213,210,234,235,236,236,236,236,237,238,237,236,236,237,238,228,199,195,183,114,195,203,117,196,229,221,221,219,218,214,236,237,237,239,239,238,240,240,240,240,239,240,237,247,253,207,158,125,178,211,132,188,235,225,225,221,220,216,239,240,240,241,242,243,244,243,244,244,243,244,241,194,210,209,203,158,130,176,122,179,241,226,226,222,220,218,241,243,244,243,244,245,245,244,246,245,246,244,249,209,109,188,225,148,86,113,102,165,245,229,228,226,222,220,244,244,244,246,246,246,246,246,247,247,247,247,253,215,76,155,222,172,111,90,78,148,248,232,231,228,226,225,245,245,246,247,248,248,247,248,250,248,249,248,243,210,137,121,170,198,146,132,83,124,250,234,234,232,228,227,247,248,249,250,251,251,251,251,251,251,252,241,241,212,175,117,89,165,173,144,90,95,247,238,237,235,231,230,250,251,252,252,253,252,252,253,252,253,246,241,216,215,207,163,112,124,162,161,110,81,233,244,237,236,235,232,252,253,254,254,254,254,254,254,255,254,242,227,169,146,195,184,121,102,139,194,154,78,184,255,238,238,236,233,254,254,254,255,255,255,255,255,255,255,241,233,189,100,111,176,103,79,119,197,191,109,105,249,243,240,239,236,255,255,255,255,255,255,255,255,255,255,243,222,191,148,87,127,110,83,167,228,209,137,78,231,249,243,241,237,255,255,255,255,255,255,255,255,255,255,240,232,228,156,103,128,145,139,237,232,194,114,93,245,246,243,242,238,255,255,255,255,255,255,255,255,255,255,239,233,232,167,130,130,218,251,250,201,175,84,131,255,243,244,243,240,255,255,255,255,255,255,255,255,255,255,240,225,218,183,136,127,233,251,224,178,151,78,178,255,244,245,244,242,255,255,255,255,255,255,255,255,255,255,243,212,207,183,141,128,218,230,202,160,123,77,220,255,245,245,243,240,255,255,255,255,255,255,255,255,255,255,255,215,207,184,158,139,215,229,189,141,90,101,255,247,243,245,251,246,255,255,255,255,255,255,255,255,255,255,255,226,205,189,168,130,194,211,163,115,61,183,255,253,255,242,198,135,255,255,255,255,255,255,255,255,255,255,255,236,213,189,164,133,155,166,117,76,88,254,251,206,169,117,64,53
0,195,195,195,195,196,196,196,197,197,197,197,198,197,197,196,195,196,197,197,198,197,197,197,197,196,195,195,195,196,195,195,196,197,198,198,199,198,198,196,197,197,198,198,197,197,197,198,198,197,198,198,198,198,196,196,195,197,197,197,197,199,200,200,199,198,196,196,198,199,199,199,199,199,198,199,199,199,199,199,198,199,197,196,195,198,198,199,199,200,201,199,198,192,177,178,189,189,190,193,194,193,193,198,200,200,199,199,199,199,198,197,196,199,200,200,200,201,201,200,201,191,148,119,145,164,154,157,175,172,156,165,181,181,185,192,198,200,199,198,198,199,201,201,201,201,201,200,196,187,140,86,106,151,127,104,141,154,114,101,134,134,126,145,181,198,199,200,199,200,201,201,201,200,198,192,175,174,149,100,91,132,112,81,115,133,94,74,113,115,85,87,134,182,199,200,200,202,202,202,202,200,195,185,161,151,154,120,81,107,104,70,103,124,86,71,116,115,78,77,112,145,190,201,201,202,203,203,203,202,196,184,159,133,129,112,73,94,96,60,96,128,90,72,124,128,91,89,118,115,152,197,202,202,203,204,204,203,196,183,161,130,106,90,71,91,85,53,95,126,89,86,139,143,120,108,111,99,110,184,203,203,204,204,204,203,196,187,174,148,113,86,75,81,74,60,90,115,109,134,156,149,132,111,94,80,95,178,203,204,205,206,206,204,198,193,183,167,139,101,77,73,78,86,101,129,154,169,166,152,129,107,90,74,103,186,204,205,206,207,207,205,200,197,189,180,163,128,91,81,86,99,125,160,177,180,172,153,124,101,85,73,121,197,205,206,206,207,207,204,198,201,197,190,180,155,120,107,102,111,145,172,184,188,176,150,120,96,81,78,148,204,206,206,206,207,207,204,193,199,203,198,191,173,149,135,124,123,149,170,185,190,176,145,114,93,78,100,178,206,206,207,207,207,207,206,192,192,205,206,200,184,167,155,143,135,147,169,186,186,169,136,107,92,81,135,198,207,207,207,208,208,208,207,195,183,201,210,205,192,178,167,156,146,144,160,179,178,158,126,100,87,88,166,206,207,208,207,208,208,208,208,202,179,190,207,209,199,185,174,164,151,143,149,164,163,141,114,93,80,107,188,208,208,208,208,209,209,209,209,207,185,179,202,209,198,182,174,164,151,143,142,150,148,123,101,84,80,141,202,208,208,209,209,209,209,210,211,209,197,177,199,207,193,177,174,163,152,142,131,134,134,113,92,78,108,182,208,209,209,210,210,210,210,211,211,210,203,185,201,207,195,183,183,170,155,139,122,120,121,106,84,91,160,205,211,211,211,211,210,210,210,211,211,210,206,189,202,210,202,191,191,175,155,138,120,112,112,101,81,128,196,210,212,213,212,211,210,210,210,211,211,211,206,185,197,210,206,194,190,173,153,136,120,109,107,96,84,158,207,210,212,213,212,211,210,210,210,210,211,212,207,185,196,210,207,195,185,169,151,135,122,108,101,90,92,176,209,210,211,212,212,211,209,210,210,210,211,211,205,192,200,208,206,194,182,168,152,135,122,108,95,85,102,189,211,211,211,211,211,211,209,210,210,211,211,210,202,196,203,203,201,191,178,166,151,134,120,105,91,83,112,194,210,211,211,211,211,211,209,210,211,211,211,210,199,194,200,200,198,185,171,161,149,133,116,100,87,81,126,197,208,211,211,211,211,211,209,210,211,211,211,210,198,191,197,200,197,182,166,156,146,131,112,93,82,80,140,199,208,211,212,212,211,211
6,137,143,148,150,153,158,162,165,168,172,174,176,178,181,182,185,186,188,189,191,191,191,191,192,193,192,192,192,139,144,147,149,153,158,163,165,168,172,175,177,179,181,183,185,186,188,189,191,192,192,193,193,192,193,193,192,138,145,148,149,153,159,164,167,169,173,176,179,181,182,183,185,189,190,191,191,192,193,194,194,193,193,192,192,139,145,149,150,155,160,165,168,171,175,177,179,182,183,184,186,190,192,193,192,194,195,197,196,194,194,194,194,140,147,148,151,154,160,163,168,172,175,178,180,183,184,186,188,190,193,193,193,196,195,197,198,197,197,199,199,141,147,149,152,155,160,165,169,172,177,177,180,183,184,186,187,188,189,190,191,188,191,191,193,192,190,185,187,141,147,151,153,154,160,166,168,172,173,183,188,185,189,192,194,195,201,200,194,198,203,212,202,192,186,165,164,140,145,148,149,153,159,163,165,178,199,210,205,189,181,196,209,214,216,210,196,199,209,214,211,202,190,175,174,139,145,148,150,151,155,170,192,210,213,211,201,184,151,146,175,181,180,177,172,175,166,158,159,157,149,144,151,141,150,149,146,160,187,213,213,204,203,207,210,192,144,107,109,110,116,129,130,133,148,165,172,174,177,179,184,140,143,154,182,205,216,210,204,205,211,213,199,163,139,110,102,99,90,118,171,189,198,201,201,202,203,201,201,146,179,208,217,212,211,205,207,212,210,195,172,143,127,114,112,119,111,108,148,178,199,197,199,199,198,197,198,210,218,214,212,210,213,213,209,208,208,206,203,168,122,110,98,110,125,116,105,86,161,209,199,201,199,198,199,217,214,215,215,211,207,208,206,207,211,218,213,163,122,115,109,100,111,125,130,108,87,172,206,199,200,200,199,222,220,217,210,210,208,210,203,205,216,218,182,146,128,120,122,125,110,96,106,115,97,114,206,198,200,199,198,222,218,211,203,201,198,198,195,201,209,201,168,140,124,125,129,131,122,99,94,93,100,126,201,198,198,198,197,216,213,205,199,200,197,196,193,194,200,198,180,140,110,89,114,133,161,123,107,93,96,118,134,132,132,131,130,213,213,213,206,202,202,203,202,199,205,203,179,131,116,103,100,102,121,130,122,105,105,99,97,97,98,97,95,216,217,210,204,202,200,201,198,202,209,197,165,125,120,126,125,116,103,107,111,115,109,105,107,107,106,107,106,210,207,201,198,198,190,185,182,191,193,178,155,134,131,129,124,115,107,102,100,112,113,110,107,105,104,104,104,197,194,194,188,181,178,168,171,183,177,161,145,134,127,131,129,119,109,108,112,109,111,111,107,107,105,104,103,175,179,172,170,162,163,160,157,157,146,130,119,116,108,108,114,116,115,114,111,108,109,108,106,107,105,103,103,135,137,142,142,145,137,128,121,115,112,111,110,110,110,106,105,107,112,110,108,109,109,109,106,109,105,104,103,123,111,110,110,105,105,109,109,107,111,113,113,112,112,113,111,111,110,110,110,108,107,108,107,109,106,104,105,110,107,98,91,101,109,112,113,113,114,114,113,112,112,111,111,111,112,111,110,108,106,107,107,106,105,104,105,99,88,85,92,105,114,113,112,114,114,112,112,112,112,112,110,110,111,110,109,109,108,106,106,107,106,105,104,124,115,101,97,103,112,113,113,112,112,112,112,111,112,111,110,110,110,109,110,109,107,106,106,106,104,104,104,133,111,101,99,102,111,114,113,112,112,112,111,111,111,110,109,109,110,110,110,108,107,107,105,106,104,104,105
22,167,171,174,176,177,179,182,184,185,186,187,188,188,189,187,188,191,189,189,188,186,188,186,185,184,183,183,182,171,173,176,178,180,182,184,186,188,186,191,191,190,190,196,184,176,192,189,190,189,189,189,188,186,185,184,184,172,176,178,180,183,184,185,188,189,200,169,186,195,189,215,179,134,197,191,191,192,193,190,190,188,188,187,186,173,177,180,183,185,186,188,189,194,219,139,172,201,192,218,175,139,198,193,195,176,179,194,190,190,189,189,189,175,179,182,185,187,190,190,190,197,213,143,166,203,195,210,167,145,201,194,200,157,145,201,191,192,191,191,190,177,180,184,187,189,190,192,193,195,216,156,156,206,197,205,170,153,204,198,208,152,149,203,194,195,193,193,192,178,182,185,188,190,192,194,197,195,219,174,151,206,200,209,178,155,204,203,209,146,164,204,196,196,194,195,195,181,184,187,191,193,194,196,199,196,221,193,148,201,203,203,174,154,205,213,209,140,182,203,197,198,196,196,196,183,187,190,192,194,196,197,200,198,220,196,138,191,206,201,170,154,209,219,202,138,195,204,200,200,199,198,197,183,188,191,193,195,198,200,202,198,224,219,146,175,210,213,166,156,216,219,179,138,206,203,202,202,201,199,199,185,188,192,195,197,200,202,204,200,215,219,152,169,215,214,157,165,227,226,155,151,213,202,204,203,203,201,200,187,190,194,197,198,200,203,205,220,210,199,169,165,193,208,151,184,233,213,136,180,214,206,206,205,204,203,202,187,191,194,197,200,202,203,210,242,203,213,225,206,163,163,207,209,216,186,132,202,211,208,207,206,206,205,205,188,192,195,199,203,204,204,213,235,194,156,231,227,182,123,175,190,195,155,144,215,209,209,209,208,207,206,205,190,195,198,201,204,206,205,219,222,212,137,143,218,208,162,118,145,158,126,165,219,209,210,210,208,208,208,206,192,197,199,202,206,209,205,230,227,193,156,104,156,228,199,145,117,123,114,190,218,211,211,210,209,209,208,208,194,198,201,204,206,210,208,235,215,176,149,151,148,214,229,181,144,120,114,201,218,213,212,211,211,209,209,209,194,199,202,205,208,210,209,239,226,184,168,177,181,239,224,192,167,120,115,213,217,215,214,213,212,210,209,210,195,201,204,207,209,211,212,242,220,182,172,192,220,251,212,181,157,111,122,221,216,216,216,214,214,213,212,211,196,201,205,208,211,214,214,242,225,196,189,190,238,239,206,164,146,108,149,228,216,218,217,216,216,214,213,211,198,202,207,209,212,215,215,240,230,205,197,191,246,225,192,156,137,105,175,229,218,219,218,217,217,215,214,212,199,203,207,210,213,216,215,236,228,211,205,197,237,210,180,150,130,103,185,229,219,221,220,219,217,216,215,214,200,204,208,211,214,216,216,231,232,218,214,199,228,196,171,145,122,104,197,228,221,222,222,220,219,218,217,216,200,204,208,211,214,218,218,224,232,221,218,198,227,188,165,136,120,113,209,226,221,223,222,221,221,220,218,218,201,206,209,213,216,218,219,222,231,217,205,183,210,181,165,142,114,132,227,224,224,224,223,222,221,221,220,218,202,207,210,214,217,219,221,223,234,209,185,183,210,169,174,148,103,174,234,225,226,225,224,223,221,221,221,219,203,208,211,215,218,220,221,224,246,224,205,203,211,164,181,127,112,220,229,227,226,225,226,226,223,222,222,220,202,207,211,214,218,220,220,223,247,234,221,215,203,163,170,111,144,234,228,227,226,226,226,225,225,223,222,220
17,143,146,147,150,152,153,154,156,158,159,159,161,163,164,164,167,167,165,169,168,167,170,169,168,170,169,169,168,142,146,148,151,153,154,155,157,159,161,160,162,164,165,168,168,167,173,172,174,170,171,169,170,171,170,170,168,143,145,149,153,153,155,157,158,158,162,162,163,164,166,167,170,156,136,148,127,171,172,172,172,172,172,171,170,144,146,149,153,155,157,157,159,161,163,162,163,165,169,168,174,175,108,83,79,162,176,173,174,173,173,173,171,145,148,151,153,156,158,159,162,165,165,165,166,168,170,169,173,192,134,69,71,172,175,174,175,173,173,173,171,145,149,153,154,155,158,161,163,163,166,166,169,173,170,172,172,193,154,82,82,184,174,175,175,174,175,175,172,146,150,153,155,158,161,161,163,163,166,170,160,150,181,174,170,197,163,94,116,187,175,177,176,175,176,176,174,149,152,153,155,159,161,162,165,168,167,172,167,113,133,181,180,196,156,99,138,185,177,179,178,177,177,176,176,150,152,154,156,159,161,163,163,164,159,176,175,144,115,139,174,193,154,96,136,187,177,179,179,178,177,176,175,150,153,154,157,161,162,160,180,169,112,132,183,185,178,125,84,151,152,101,136,189,179,181,178,178,179,178,177,152,154,155,159,163,162,167,183,174,119,139,155,176,191,164,88,91,127,92,133,190,179,180,178,180,180,179,178,153,156,157,160,164,162,177,169,150,149,110,96,87,201,190,124,70,96,79,129,192,181,181,180,181,180,180,179,152,155,158,160,164,161,181,166,102,108,97,64,56,184,207,149,77,75,67,125,193,181,183,182,181,181,180,180,152,156,159,161,165,164,186,164,131,129,108,100,100,162,219,162,96,70,70,115,192,181,183,183,182,181,182,182,153,157,160,162,164,168,194,165,141,131,111,129,137,170,208,166,115,70,65,113,193,181,184,185,183,183,182,182,154,157,160,166,162,178,186,140,126,123,127,136,182,214,174,161,122,68,55,112,194,182,185,185,184,184,182,179,154,157,161,167,160,187,187,146,130,123,133,155,220,209,168,143,113,66,47,114,194,184,185,184,185,185,183,181,154,158,160,164,162,196,189,155,135,123,135,193,215,193,164,135,102,67,48,139,196,183,186,184,184,184,185,183,154,159,161,164,162,201,188,163,148,124,157,215,205,190,155,121,97,63,63,174,189,185,186,186,185,183,184,183,154,158,164,166,164,210,189,170,165,136,168,213,192,185,158,111,90,53,102,196,182,187,187,188,186,185,184,183,156,160,164,168,164,212,196,177,176,152,165,205,185,175,151,107,79,55,157,194,184,186,187,188,186,185,185,186,156,161,164,167,161,205,206,183,173,163,159,191,180,177,145,101,68,77,190,186,185,185,187,187,186,186,185,186,157,162,165,169,164,194,209,180,165,160,164,176,168,182,155,97,63,96,197,185,188,188,188,188,187,188,187,185,159,162,164,168,165,192,200,177,165,154,162,173,164,182,146,99,63,131,199,186,189,189,189,189,188,188,187,186,157,160,164,169,165,197,204,186,167,163,167,175,161,175,129,90,72,175,192,188,189,188,189,189,189,189,187,186,155,159,165,169,167,205,213,184,165,173,176,167,148,161,113,69,112,198,186,189,189,189,189,189,189,189,188,187,158,161,165,168,168,214,205,167,167,176,178,152,134,142,95,66,169,193,188,190,190,190,189,189,190,190,188,187,158,162,166,167,171,216,198,162,168,177,172,144,131,124,78,91,194,186,190,190,190,190,190,189,191,189,187,188
22,144,146,149,152,157,159,161,164,166,167,163,170,172,172,171,165,173,173,174,176,175,176,176,176,176,175,175,174,146,149,152,155,158,162,164,167,171,167,126,157,177,177,178,125,159,178,167,164,179,179,178,178,178,178,177,176,148,151,155,158,161,165,168,170,174,160,104,148,180,183,184,111,151,185,160,119,176,181,180,180,182,182,181,180,151,154,157,161,164,168,171,172,179,157,91,149,182,189,183,116,158,190,161,106,173,184,183,183,184,185,184,183,154,157,160,163,166,170,173,176,183,161,93,151,185,193,177,119,166,193,161,107,173,186,186,186,187,188,187,185,156,159,162,164,168,172,177,178,187,173,98,149,187,195,165,116,171,195,164,115,177,189,189,189,189,189,188,188,157,161,164,168,171,175,180,181,190,182,102,144,190,194,151,114,172,195,160,116,183,192,191,191,191,190,191,191,160,163,166,170,173,178,182,183,193,186,104,141,193,182,137,115,176,196,161,118,187,194,194,194,194,193,194,193,162,165,168,172,175,180,183,185,191,197,126,134,181,164,135,113,183,199,159,120,191,195,195,195,196,195,196,195,164,167,170,173,177,181,184,186,191,198,156,131,121,137,143,119,191,200,153,128,197,196,196,197,197,197,197,197,165,169,172,175,179,183,186,188,193,202,178,155,140,129,128,129,197,194,143,138,201,198,199,200,200,200,199,199,166,170,173,177,180,185,188,189,201,208,190,174,184,165,116,121,184,180,132,152,203,201,201,201,201,201,201,201,168,172,175,178,182,186,190,192,194,171,181,129,170,174,129,90,133,140,108,165,205,203,202,202,202,203,203,202,171,173,178,180,184,188,191,195,197,168,163,100,95,167,158,110,86,100,93,177,206,204,203,204,204,204,203,203,172,174,178,182,185,189,191,200,199,156,151,119,61,120,183,146,94,77,90,190,207,205,205,205,205,206,205,205,173,176,179,183,187,191,193,205,200,160,131,108,82,110,198,175,124,88,91,196,208,207,207,208,208,208,207,207,174,177,180,184,187,192,194,212,204,157,118,105,100,172,205,176,136,105,95,198,209,208,208,210,210,210,209,209,175,178,180,184,187,192,196,212,197,155,128,128,140,210,201,162,127,100,99,201,210,209,209,210,211,211,210,209,176,179,182,186,189,193,196,207,192,154,144,129,167,211,186,150,112,88,118,209,211,212,210,211,212,212,212,211,176,180,184,187,190,195,197,204,188,153,146,132,185,211,171,136,105,83,134,215,213,213,213,214,214,214,213,212,175,180,184,187,191,194,198,201,188,154,161,140,192,207,162,126,96,80,143,217,214,215,215,215,215,214,214,214,175,178,182,186,190,194,197,197,188,161,169,144,183,190,152,120,93,77,156,216,214,215,215,216,216,215,214,214,175,179,183,186,190,193,197,196,189,166,167,143,172,172,139,114,90,81,173,214,214,215,216,216,216,215,214,214,176,180,185,188,190,195,198,198,193,166,151,130,154,152,125,111,89,94,193,214,215,216,216,216,216,216,215,215,178,182,186,189,192,196,197,196,193,163,136,128,153,136,125,111,86,134,211,215,216,216,216,217,217,216,215,216,177,181,185,189,194,196,194,199,200,174,151,144,159,127,130,99,93,186,216,215,215,216,217,217,217,216,216,215,176,180,186,189,194,196,191,197,199,180,167,151,154,123,122,83,138,213,215,214,215,216,217,218,217,217,217,216,152,158,164,171,175,178,179,193,182,169,170,148,146,122,104,83,172,215,215,214,215,216,216,217,217,217,217,215
1,138,141,144,147,151,155,157,158,159,160,161,162,163,162,162,161,159,158,162,158,156,156,155,152,151,150,149,146,140,145,148,150,153,157,159,160,163,164,163,163,163,164,162,162,169,165,145,161,158,157,158,154,153,150,150,148,143,148,152,153,156,160,163,164,165,165,165,166,167,164,174,155,175,181,89,147,158,160,157,156,155,152,151,151,145,150,155,158,159,163,166,167,168,168,168,169,169,166,205,138,103,173,80,105,124,133,163,157,158,156,154,152,149,154,158,159,162,165,168,169,172,172,173,172,168,182,212,124,74,160,76,103,126,89,168,160,160,159,158,155,151,156,159,162,165,168,171,173,175,175,172,189,180,120,173,107,92,181,86,104,129,79,163,164,163,161,159,158,153,158,162,166,168,170,173,176,177,178,175,212,161,67,133,107,100,181,94,86,129,81,162,169,164,163,161,158,156,161,166,168,171,174,177,178,180,179,181,213,135,67,135,97,85,150,79,109,149,88,154,174,167,167,164,162,158,164,167,170,174,176,178,181,183,180,194,214,131,67,119,79,102,142,69,115,145,83,149,178,170,170,167,165,161,165,168,171,176,177,180,183,186,180,206,201,119,80,127,76,129,156,76,106,135,78,156,179,173,172,169,168,163,168,170,174,178,180,182,185,186,181,209,189,107,95,153,84,108,142,72,132,145,82,159,180,175,174,171,167,164,169,172,175,180,182,184,186,190,185,220,195,135,80,120,56,70,96,59,158,142,84,163,183,178,176,174,171,165,171,175,177,181,183,185,188,192,189,221,174,115,64,70,69,74,74,78,138,109,78,177,182,179,178,176,175,168,175,177,180,183,184,188,192,194,195,213,173,146,137,96,122,82,128,143,92,75,94,191,180,181,179,177,174,170,176,180,183,185,189,192,194,194,205,235,216,158,181,176,163,155,175,131,68,64,130,195,181,181,181,178,175,170,176,183,184,188,191,194,196,192,224,248,173,120,131,170,181,175,154,134,103,42,142,197,183,184,182,179,177,172,178,184,187,192,194,196,199,194,238,218,134,118,77,77,129,114,154,177,125,49,146,198,186,185,183,182,178,175,181,185,190,195,196,198,200,199,245,225,173,117,102,90,72,137,141,204,153,68,126,202,187,187,186,183,180,178,182,187,191,195,199,201,203,208,249,223,183,112,117,81,150,225,158,197,168,96,69,190,193,189,189,185,182,179,185,190,194,198,202,204,205,211,244,225,180,105,123,97,214,228,205,160,131,114,68,181,198,191,190,187,184,180,186,191,196,200,202,206,206,215,243,234,170,114,118,139,243,230,190,159,113,83,81,199,196,194,191,189,185,182,188,193,197,200,205,208,206,218,246,221,158,140,100,181,244,218,187,149,129,58,104,211,196,196,193,191,189,183,190,196,199,202,206,209,208,218,243,209,180,151,112,215,236,207,176,144,111,52,161,210,198,199,196,192,191,184,191,197,201,204,207,209,219,227,231,209,203,156,138,222,224,196,166,130,75,84,210,202,202,200,197,194,191,186,192,197,202,205,207,219,171,160,238,209,211,156,125,197,195,167,139,107,49,164,216,204,203,201,199,197,193,189,194,199,206,207,210,218,81,45,162,206,201,114,102,142,147,130,106,51,97,221,206,207,206,204,200,198,196,189,196,199,205,205,221,168,56,61,48,87,104,78,100,111,110,83,55,61,200,214,208,208,208,205,201,200,197,187,192,200,204,205,219,112,60,57,54,48,53,59,70,67,67,35,3,139,227,207,210,209,208,205,201,199,196
14,201,204,203,204,206,207,208,208,208,208,208,206,207,208,209,207,209,209,210,208,208,207,207,207,206,205,204,205,203,205,205,207,208,209,208,209,212,209,209,209,220,207,204,212,211,208,211,210,210,211,210,209,209,207,207,206,205,206,207,208,208,212,213,215,212,210,226,228,218,157,156,225,212,213,213,212,212,212,212,212,212,210,208,208,206,207,210,211,211,212,213,211,212,247,234,189,149,126,112,180,208,207,213,213,214,214,213,211,211,212,211,209,208,209,211,213,214,214,209,220,255,250,168,116,113,105,119,159,191,148,161,220,214,215,215,214,212,213,213,212,209,210,213,214,214,211,221,255,249,195,131,101,119,97,107,141,159,115,167,225,215,218,218,216,215,215,215,213,212,213,216,215,215,209,255,255,194,127,99,100,107,91,97,103,125,109,177,223,222,219,221,220,219,218,216,215,213,216,216,217,218,213,255,255,166,91,74,78,93,116,129,104,142,178,169,153,199,225,220,222,221,219,217,217,214,215,216,220,217,229,255,250,163,102,86,89,81,97,105,83,98,152,161,111,198,230,220,224,223,220,220,218,215,215,218,222,216,242,255,224,134,91,97,111,79,90,101,111,113,120,110,106,197,221,227,224,223,222,221,222,219,220,221,224,215,255,255,232,152,95,98,113,94,106,122,133,122,105,135,143,146,136,215,230,224,225,224,223,220,221,224,225,220,255,255,245,179,125,98,92,108,114,84,101,112,153,154,141,135,152,171,221,231,228,225,225,222,224,226,222,232,255,255,242,176,133,108,88,121,111,142,196,218,238,229,209,179,207,157,213,235,229,228,227,222,223,226,222,242,255,255,243,176,129,113,96,112,97,213,245,232,229,234,222,189,201,155,223,233,229,229,227,223,224,230,225,246,255,255,251,192,139,106,105,92,141,242,229,232,232,238,203,182,196,151,228,233,231,230,229,224,226,230,225,249,255,255,255,200,150,106,98,99,223,239,234,235,233,242,199,182,199,139,211,239,231,231,231,225,229,233,226,251,255,255,255,205,154,115,83,131,246,232,237,238,235,247,186,163,190,145,172,245,232,234,233,227,230,234,226,253,255,255,255,211,161,124,76,179,255,236,241,237,244,212,174,185,184,150,160,246,234,235,236,230,233,233,227,255,255,255,255,214,160,133,83,134,214,231,229,245,224,155,179,192,177,137,208,244,235,236,235,230,232,234,229,255,255,255,255,210,165,142,107,80,100,124,130,165,158,157,179,182,153,178,249,237,237,237,237,232,233,238,232,255,255,255,255,209,181,160,120,95,109,114,134,145,147,158,174,161,151,238,244,239,240,240,238,232,235,238,234,255,255,255,255,215,200,173,137,101,121,136,149,156,160,150,156,137,214,250,241,243,241,241,239,235,238,239,235,255,255,255,255,230,211,174,141,116,125,144,150,154,156,152,122,173,254,242,246,243,242,243,242,237,239,240,240,255,255,255,255,245,214,175,143,126,121,143,149,148,152,139,140,240,247,246,246,244,244,245,245,238,240,241,244,255,255,255,255,250,213,170,138,126,120,138,145,143,142,136,232,250,244,247,247,246,244,244,245,237,239,238,246,255,255,255,255,246,198,143,120,118,118,137,137,147,122,201,255,245,248,247,247,247,246,245,245,242,246,245,255,255,255,255,255,223,158,104,106,106,115,126,135,130,159,255,248,250,249,250,249,248,247,247,247,224,206,183,188,185,163,157,133,113,92,73,70,83,107,118,119,144,243,252,250,252,250,252,252,248,249,249,248
19,209,213,215,215,216,219,220,218,219,221,220,220,220,220,218,216,221,218,214,214,214,213,213,212,210,211,210,209,213,214,216,217,218,220,221,221,222,222,222,222,222,220,221,212,174,198,222,215,216,215,215,215,213,212,211,210,214,215,218,220,221,221,223,224,223,223,223,225,225,220,237,209,148,130,225,219,219,217,216,216,214,213,213,212,215,217,219,223,223,224,225,226,227,224,224,226,224,227,247,210,168,112,213,222,221,220,219,220,215,214,215,215,216,220,223,224,225,226,227,227,227,226,227,228,225,234,244,203,161,105,212,226,222,222,219,217,220,217,216,217,218,221,223,224,226,229,230,228,228,228,227,230,224,240,238,178,139,98,209,221,217,212,217,243,201,214,219,219,220,223,224,227,228,230,230,230,230,230,229,229,224,236,233,187,179,195,226,212,224,219,233,255,157,205,222,219,222,223,227,231,230,231,231,231,231,231,228,233,237,235,225,222,232,251,242,218,216,218,190,162,163,223,221,221,224,225,229,231,232,234,232,231,229,238,248,255,255,251,227,201,194,185,180,156,144,144,154,181,223,223,221,222,227,229,230,231,234,234,237,240,240,255,255,255,247,230,222,218,206,127,127,164,193,208,229,235,226,226,225,223,230,230,232,234,234,241,255,252,248,242,245,244,241,241,237,235,223,127,172,248,234,233,228,228,228,227,226,224,231,231,233,235,231,254,255,255,246,244,253,255,255,247,236,229,192,115,140,244,228,230,230,228,229,228,228,225,232,232,236,239,234,253,255,241,234,248,255,255,246,235,237,240,218,121,103,232,233,231,230,229,228,229,229,226,232,234,237,239,236,254,253,233,236,240,232,232,239,250,238,241,231,130,82,191,242,230,232,231,229,230,229,228,234,237,238,240,240,255,236,238,240,227,213,244,249,235,227,227,195,124,80,158,248,232,234,232,231,230,230,229,236,237,239,241,242,253,248,252,249,251,255,255,241,231,221,205,169,113,79,133,249,235,236,234,233,231,232,230,237,239,241,244,244,245,255,255,250,251,252,239,222,212,227,242,232,141,65,168,250,235,237,236,233,232,232,232,239,240,243,245,247,241,255,255,242,236,215,176,208,253,250,234,232,149,99,237,242,239,237,238,236,235,235,233,240,243,246,245,249,243,247,255,240,234,221,231,255,247,220,205,195,132,93,228,245,240,240,239,239,238,237,235,239,243,246,247,248,247,243,253,255,255,246,250,242,221,207,189,164,105,103,240,242,240,241,241,241,239,237,235,242,245,246,249,250,250,246,249,255,248,228,233,223,204,177,135,99,109,216,248,242,243,242,242,241,241,239,238,244,247,248,249,252,254,241,250,252,239,216,209,182,154,119,87,66,201,255,243,244,243,242,244,241,241,240,239,244,248,249,252,252,255,242,246,247,230,203,187,166,133,103,88,133,255,244,247,246,245,245,245,242,241,240,240,244,247,250,254,253,255,243,234,242,224,193,180,178,133,103,91,150,255,247,249,249,248,248,247,246,243,242,240,244,247,250,254,254,255,243,228,230,222,188,168,138,113,105,97,106,250,252,249,249,249,248,247,247,244,243,241,244,247,249,252,253,255,241,227,218,220,206,181,141,117,109,98,103,245,251,248,248,246,246,246,246,242,239,238,245,247,249,251,252,255,232,231,226,214,198,183,145,119,108,95,114,252,249,249,248,246,246,246,245,243,241,239,245,248,250,252,253,255,225,242,249,233,194,159,129,109,106,87,167,255,248,249,249,247,247,248,246,244,241,240
5,146,149,153,156,159,162,164,166,167,169,170,170,171,171,171,170,170,171,170,169,170,169,167,167,165,165,165,164,147,152,155,158,161,164,166,168,169,170,171,172,172,172,173,172,171,171,172,172,171,171,169,169,168,167,166,166,149,153,158,161,164,165,167,170,170,172,173,174,176,174,175,174,172,181,127,157,176,172,172,171,170,170,167,166,151,156,160,162,164,166,169,171,173,172,181,164,133,180,176,174,185,173,104,154,179,174,173,172,172,171,169,167,153,157,161,164,166,168,170,173,176,172,189,156,108,181,179,178,193,130,119,181,177,177,175,175,173,173,171,171,154,158,162,165,169,169,175,176,177,173,202,131,126,188,177,191,167,98,157,184,177,178,177,177,176,175,173,173,155,159,164,167,168,179,150,169,180,183,203,104,152,189,184,189,130,119,187,181,180,180,180,179,178,177,176,176,158,161,165,169,169,190,134,137,184,196,189,99,172,188,186,159,106,165,190,183,183,182,182,182,180,179,179,179,159,163,166,170,171,188,159,116,186,199,153,109,184,183,177,113,127,193,186,186,185,184,184,184,183,182,181,180,160,164,168,172,173,182,180,109,181,188,114,124,191,171,166,102,161,195,187,187,187,187,186,185,184,185,184,183,161,165,169,173,177,178,198,132,155,188,122,126,183,163,150,110,178,193,189,191,191,189,187,186,186,185,186,185,163,167,171,175,178,178,198,164,123,182,133,117,146,152,125,122,195,192,189,176,180,190,193,188,187,186,187,187,163,168,173,175,179,181,191,193,143,133,134,118,126,144,110,136,198,182,183,185,177,170,170,192,189,189,188,187,165,169,175,178,182,184,184,193,180,137,125,130,125,130,109,130,166,178,169,170,180,182,145,169,196,190,190,189,166,171,175,179,181,185,186,186,201,182,141,127,114,114,106,127,137,145,129,118,151,162,168,133,171,195,191,191,167,170,174,179,182,185,190,187,212,213,159,124,111,107,104,121,127,108,133,179,199,191,172,167,136,192,192,192,168,172,177,180,184,185,190,188,202,226,172,124,108,106,105,115,113,132,201,200,198,191,182,144,159,200,193,194,169,173,178,181,185,186,190,190,194,227,171,127,110,105,102,116,100,157,211,196,198,177,160,117,181,200,195,197,169,174,179,183,186,188,192,191,191,214,166,130,112,102,101,117,118,129,174,204,192,172,140,111,183,201,196,196,171,175,179,184,186,188,192,192,189,218,168,132,117,104,103,115,124,138,138,144,173,172,126,132,198,199,198,197,170,175,179,184,186,188,193,192,193,216,167,142,126,107,101,117,130,145,154,130,159,158,124,171,204,199,199,198,171,176,181,184,187,190,194,192,194,208,169,149,128,109,100,124,144,151,155,135,134,143,137,201,200,200,200,199,172,177,182,185,188,191,195,192,192,207,172,150,127,112,101,126,146,148,145,129,121,123,172,207,200,201,199,199,172,178,183,186,189,191,195,194,195,202,168,146,129,116,108,123,138,137,135,123,127,173,205,203,203,202,201,201,174,178,183,187,190,192,195,192,206,204,163,144,134,117,115,124,135,134,126,126,188,209,203,203,203,203,203,202,174,179,184,188,191,191,196,190,212,212,175,149,129,119,115,122,127,122,122,173,210,203,204,203,204,203,203,203,174,180,184,187,191,191,197,192,210,203,172,137,116,119,121,122,123,134,185,208,205,206,205,205,205,204,203,202,175,180,184,187,190,192,197,197,210,200,175,137,116,120,120,118,135,197,213,205,206,206,206,205,205,205,204,203
23,187,188,189,192,192,192,193,194,195,196,198,198,198,197,197,197,197,196,197,196,197,196,197,197,197,197,195,194,189,189,190,193,193,193,196,196,198,198,199,198,199,202,212,220,214,194,192,196,195,197,197,198,198,198,197,196,190,191,192,194,195,196,197,198,199,199,204,211,220,232,234,227,210,198,188,183,159,184,198,201,200,199,199,198,191,192,194,195,197,198,197,200,201,201,241,243,226,218,210,192,159,158,154,141,140,194,200,201,201,201,201,201,193,194,195,196,198,199,200,201,201,209,253,235,195,189,168,146,171,169,165,172,194,201,201,202,203,202,202,202,194,194,195,198,200,201,202,202,200,220,253,224,176,137,152,185,202,204,202,203,203,203,203,205,204,203,203,203,195,195,198,200,201,202,204,204,202,238,249,218,187,158,201,209,217,218,195,204,205,205,205,206,206,205,204,204,196,197,200,201,202,203,204,205,206,249,242,225,183,167,225,241,245,233,166,196,207,207,206,208,208,207,207,206,198,200,201,202,203,205,206,204,215,253,236,232,194,229,251,251,242,213,155,150,166,203,209,209,208,208,208,207,199,201,202,204,205,207,207,204,231,253,235,241,249,252,249,234,220,207,201,165,113,162,210,209,208,209,209,208,201,203,204,206,207,207,208,208,245,251,245,245,247,247,241,235,234,232,227,190,124,131,211,211,212,211,211,210,203,204,206,207,208,208,208,232,249,247,244,238,241,243,243,240,234,222,206,173,122,111,174,212,213,214,212,212,204,204,207,208,208,207,228,250,251,251,245,238,234,236,236,230,219,207,205,185,120,106,126,211,214,214,214,214,205,207,209,210,208,207,238,254,254,253,247,232,227,231,232,227,218,212,211,191,126,103,132,215,216,215,215,216,207,208,210,212,211,212,234,254,254,254,251,241,239,231,222,217,207,201,195,168,126,104,165,217,217,216,216,217,208,209,210,213,216,215,228,254,254,255,252,241,240,220,192,188,175,170,158,156,126,118,201,220,218,218,218,217,209,210,211,214,216,216,224,254,255,255,249,238,232,209,165,132,117,124,149,151,125,140,219,222,220,219,218,218,211,212,213,214,216,216,221,253,255,255,247,236,220,195,163,131,60,95,149,148,124,172,223,222,221,222,221,220,212,213,215,216,216,217,219,253,254,254,249,235,237,230,162,101,72,115,142,131,117,199,222,221,222,223,222,220,214,215,216,217,218,218,219,251,254,255,250,241,240,219,159,103,90,125,118,114,130,221,223,222,223,224,222,222,214,216,216,218,220,220,219,249,255,254,250,245,240,208,161,124,87,100,108,117,145,226,223,223,224,225,224,224,214,217,217,219,221,222,221,246,255,255,250,249,242,208,163,133,87,98,115,119,163,227,226,225,226,227,225,225,216,217,218,220,222,223,222,246,254,254,251,250,240,208,166,138,104,108,121,119,189,227,227,228,228,228,227,228,216,217,219,222,222,224,221,246,254,254,252,248,236,210,170,141,114,117,126,122,214,227,227,228,228,229,228,227,216,218,220,222,223,225,222,247,254,254,251,244,228,201,167,140,122,118,124,145,229,228,229,229,229,229,229,228,217,220,221,222,224,226,223,245,254,254,247,233,215,190,159,138,129,121,118,196,231,230,231,231,231,230,230,229,220,222,223,224,224,227,225,245,254,254,243,222,200,174,152,142,131,120,142,227,232,231,231,232,231,231,231,230,221,222,224,225,226,229,226,246,254,254,242,219,198,174,152,140,131,127,210,232,231,231,232,232,232,232,231,230
0,172,173,176,177,178,180,179,177,177,178,178,177,177,176,176,176,174,174,173,173,172,171,170,168,169,167,166,165,173,174,176,179,180,181,182,181,179,180,179,179,180,178,178,176,175,174,174,174,174,172,172,170,170,167,166,166,175,175,177,180,181,182,182,182,182,181,181,180,181,179,178,176,174,177,176,174,174,172,172,170,169,169,168,169,176,177,179,180,181,183,183,183,183,181,182,181,179,181,179,194,175,149,173,179,175,177,174,173,171,170,168,169,177,179,180,182,182,183,184,185,185,185,183,181,192,176,179,223,183,141,115,160,147,157,179,170,173,171,170,169,179,181,182,183,183,184,184,187,185,184,180,196,217,187,183,226,188,144,110,172,145,104,139,113,151,177,172,171,180,182,184,183,185,186,187,185,187,199,165,208,217,191,180,230,200,131,162,200,139,80,104,87,146,179,172,172,181,184,186,185,187,188,191,181,209,234,184,203,227,188,163,224,205,131,132,176,124,76,112,91,163,178,173,173,184,185,187,188,188,189,189,185,218,249,215,177,236,196,139,188,183,127,92,147,103,101,143,89,158,179,173,175,185,186,187,188,188,191,187,197,207,235,229,156,207,182,116,144,166,123,89,145,96,144,164,93,141,183,173,176,187,188,189,189,189,192,187,206,198,199,195,137,172,162,100,94,170,116,83,155,106,179,173,97,145,185,175,177,186,189,189,190,191,192,186,217,216,185,179,118,146,164,97,72,176,127,87,95,155,201,158,91,158,184,177,177,187,189,190,190,192,192,195,225,185,147,173,136,114,182,108,81,160,183,182,118,169,192,136,90,173,182,179,177,189,191,190,192,192,191,204,235,198,152,135,144,112,165,119,138,198,207,189,164,134,155,123,101,184,181,181,178,189,192,193,194,195,192,207,238,204,171,143,135,174,180,196,210,206,193,168,151,135,114,109,105,186,180,181,179,190,193,196,196,197,191,218,245,210,190,176,158,181,214,222,222,207,186,163,142,127,103,89,112,189,180,181,181,191,194,196,197,198,193,227,244,217,204,186,169,196,225,233,235,210,181,162,138,115,97,84,157,189,184,183,182,192,196,195,197,199,194,229,239,217,199,181,173,200,228,237,234,211,181,153,127,107,85,111,192,186,183,183,182,191,193,196,196,199,194,226,241,220,200,180,170,196,222,225,217,202,174,143,115,97,85,164,191,185,184,184,182,191,193,196,197,199,193,211,237,215,199,186,175,199,213,205,191,172,152,131,108,88,151,193,186,185,185,184,182,191,194,197,197,200,195,208,224,201,203,195,176,196,206,191,167,145,136,117,98,155,194,188,188,187,186,184,182,195,196,198,198,201,197,209,223,204,205,192,177,189,203,181,146,127,119,97,156,197,189,191,189,187,186,184,183,195,196,197,199,200,198,214,240,222,198,182,180,178,189,161,124,115,95,147,199,192,191,192,191,188,187,186,183,194,196,198,196,208,192,188,255,231,197,183,184,165,175,141,111,94,127,199,192,194,192,191,190,189,189,189,183,193,195,199,194,218,255,172,199,221,190,184,175,160,163,121,94,82,175,198,191,192,192,189,190,189,184,170,160,197,198,202,196,223,255,246,134,234,219,205,192,170,159,123,94,87,186,199,199,196,186,193,196,174,151,157,150,145,146,144,137,242,255,255,141,144,235,216,200,174,153,133,121,107,121,134,125,130,179,201,188,167,111,178,163,94,95,82,127,255,255,255,164,93,228,205,186,163,145,127,114,110,101,80,99,178,210,188,164,177,99,149,180
13,145,146,150,154,157,161,164,166,169,170,171,173,175,174,175,175,174,178,180,177,178,177,176,178,178,178,179,178,146,149,154,155,158,163,165,168,171,172,173,176,176,175,177,176,176,173,170,181,178,179,179,179,180,181,181,181,148,151,155,158,160,164,167,169,172,172,174,178,177,176,180,178,182,156,101,115,187,181,181,180,180,180,182,182,150,153,156,160,162,166,168,170,173,173,176,178,177,179,179,189,200,158,96,58,189,176,186,186,181,183,183,184,152,155,158,162,164,168,171,173,174,174,178,176,183,156,122,145,195,152,93,53,119,104,105,159,191,185,186,185,153,156,158,163,166,170,172,174,177,178,179,187,215,153,105,92,184,142,97,28,101,122,60,69,194,186,188,186,154,157,160,164,168,171,173,175,179,179,177,176,198,182,127,99,174,132,75,53,167,138,67,42,170,193,187,188,155,158,163,165,170,173,175,178,178,179,181,121,86,143,143,86,169,160,58,103,183,125,70,43,174,194,189,191,157,160,164,166,171,174,177,179,179,197,179,128,83,77,141,72,189,177,74,124,173,116,64,48,186,193,192,192,158,162,166,170,174,176,178,178,194,179,181,148,103,62,125,86,97,119,42,122,202,137,52,60,198,193,195,194,159,163,168,171,174,177,178,184,191,141,173,151,101,49,96,112,14,0,36,136,176,109,25,86,205,192,195,197,159,164,168,172,174,177,179,190,191,146,139,145,101,42,74,108,46,0,53,153,129,73,32,140,209,193,195,196,161,164,167,172,175,179,182,197,185,144,119,156,93,50,59,93,52,27,112,152,149,137,95,91,205,197,197,197,162,164,168,172,176,179,180,202,187,151,109,145,90,49,49,115,72,101,195,154,130,113,93,49,162,208,196,198,163,165,168,173,177,179,182,202,182,148,105,125,102,65,53,150,107,154,186,165,132,94,73,50,169,209,197,198,163,166,170,173,178,181,185,202,185,161,135,104,100,86,31,138,163,195,179,153,124,84,62,63,195,202,201,200,164,168,172,175,178,180,187,205,187,165,146,120,85,67,81,187,194,200,175,142,111,78,54,82,208,202,205,203,164,168,171,174,177,180,186,201,186,165,150,145,110,100,118,188,195,192,158,124,96,70,48,134,212,201,204,203,163,167,170,174,178,181,183,192,186,173,158,151,121,101,100,179,199,177,137,107,84,60,71,198,203,201,202,202,163,167,171,175,179,181,184,185,184,175,158,155,131,105,107,171,194,159,126,95,75,45,122,211,199,201,202,202,165,168,171,176,179,182,184,185,187,179,159,152,135,108,112,157,172,138,113,85,67,47,168,205,201,202,203,203,166,170,172,177,179,180,183,186,189,178,157,148,128,100,114,150,136,119,96,75,56,87,205,199,203,203,203,204,167,169,171,176,179,181,184,186,190,166,146,134,106,91,122,134,111,107,82,68,48,161,209,200,204,204,204,205,166,168,172,174,180,183,179,185,190,155,145,123,102,105,128,128,108,98,80,53,109,206,201,202,204,204,205,205,170,174,177,180,184,190,178,196,191,159,152,123,108,123,139,114,103,77,63,62,183,206,200,201,202,203,203,203,125,133,140,147,152,153,163,200,194,167,165,125,118,136,126,99,87,66,41,129,214,205,207,209,212,212,212,210,67,70,72,73,76,65,123,196,173,165,164,128,121,132,118,87,69,56,48,97,120,122,128,128,133,141,144,156,81,82,81,79,82,65,135,193,160,149,145,121,113,129,116,71,63,49,54,74,74,75,75,85,106,122,123,138
21,104,117,133,145,153,156,165,173,179,183,186,189,191,194,196,197,199,200,199,199,198,198,197,195,195,194,192,192,103,118,135,146,153,157,168,175,181,185,188,196,197,197,201,202,203,204,204,203,202,201,201,200,199,199,197,197,105,119,135,148,155,159,169,177,182,192,198,152,184,206,203,205,207,207,207,207,206,208,208,204,204,203,202,201,106,121,137,149,155,160,171,179,182,196,204,145,134,212,205,208,209,209,210,210,212,172,190,212,207,206,206,205,107,122,138,150,156,162,173,180,185,193,210,173,112,193,212,208,211,212,212,213,224,159,133,218,210,210,209,208,109,124,140,152,158,164,174,182,188,191,220,189,114,161,220,211,213,213,214,215,229,175,115,207,217,213,213,213,110,126,141,154,159,165,176,184,190,192,219,203,120,128,219,214,215,215,217,219,231,177,114,191,222,214,215,215,110,128,143,156,161,167,177,185,191,194,210,211,139,114,204,218,217,218,219,221,228,169,116,182,226,216,218,217,112,129,144,158,162,169,180,187,193,197,205,225,173,119,180,225,217,220,220,223,224,173,120,181,228,217,219,219,113,130,146,159,164,171,182,190,195,200,203,230,190,125,151,227,218,221,221,226,226,181,122,187,229,219,219,218,115,133,148,160,164,173,184,191,196,201,201,231,200,130,129,219,222,222,222,230,217,172,124,195,228,222,227,230,116,134,150,163,166,174,184,191,197,202,203,229,213,147,121,202,226,224,224,234,204,162,119,213,239,224,199,163,118,135,151,163,167,176,185,193,199,203,205,222,231,178,129,177,231,224,224,238,208,162,121,185,149,111,91,77,120,137,153,164,168,178,188,195,200,205,206,212,219,186,134,151,231,224,227,235,201,165,114,81,71,73,76,87,120,138,154,165,169,179,189,195,201,204,214,205,164,149,138,132,222,227,229,224,189,157,100,73,74,76,68,73,119,137,154,164,169,178,189,195,200,201,225,214,183,193,137,112,201,229,212,201,178,141,92,67,64,78,74,65,120,139,155,165,169,179,189,195,202,203,231,235,219,217,151,113,135,175,184,184,158,122,75,77,60,66,80,71,121,139,156,165,169,180,190,195,201,202,230,243,234,210,162,126,108,123,159,172,146,113,54,69,76,56,70,76,119,138,156,165,170,180,189,196,207,173,172,211,233,213,191,146,131,127,122,133,131,110,52,50,80,70,58,70,128,141,155,164,169,180,188,200,222,176,152,146,206,186,200,174,157,159,123,97,112,109,63,40,65,81,64,61,125,124,129,132,134,139,133,183,234,211,187,139,144,167,154,178,169,162,144,111,95,100,77,39,50,75,76,66,126,125,126,127,128,131,120,185,213,218,201,159,116,122,127,111,146,166,163,142,113,90,85,46,42,66,77,72,129,131,130,131,133,135,125,188,188,171,207,173,122,93,127,99,94,183,191,171,148,110,87,58,38,55,74,72,130,131,131,132,134,136,126,197,209,163,173,189,132,111,109,118,95,153,218,196,170,137,106,73,41,45,69,73,130,131,131,131,133,135,127,197,208,175,129,153,160,150,116,124,122,160,178,217,190,152,122,98,51,37,61,74,130,131,131,131,133,136,126,185,211,160,125,119,148,169,134,140,150,185,169,203,207,165,131,114,65,35,49,69,130,130,130,131,132,135,126,163,209,165,155,137,126,148,155,167,181,195,220,200,188,147,139,118,72,45,40,60,129,129,130,132,132,134,128,148,216,191,168,140,140,152,171,186,215,216,218,195,167,116,132,112,73,59,38,47
18,137,138,141,143,145,148,150,151,153,154,156,158,157,157,158,158,158,158,159,160,161,162,163,162,163,163,162,163,139,141,143,145,148,151,152,153,157,157,159,160,160,160,161,161,160,160,162,163,164,164,165,165,165,166,165,166,141,143,146,148,150,152,154,158,160,160,161,162,163,163,164,164,164,164,165,166,166,166,167,167,168,168,167,166,143,145,148,150,153,155,157,159,161,163,164,165,166,166,166,166,165,166,167,167,167,168,169,168,169,170,170,170,146,147,150,153,155,157,159,161,164,165,166,167,167,168,170,168,167,169,170,172,171,170,173,171,173,172,172,173,147,148,151,155,157,158,160,164,166,167,167,168,170,171,171,172,171,172,156,152,169,174,151,128,145,174,175,175,150,150,154,157,159,161,163,166,167,168,169,171,172,172,172,172,173,174,141,132,159,177,141,87,99,136,182,175,152,153,156,159,160,163,166,168,169,171,172,173,175,175,173,175,173,163,158,157,175,164,161,113,79,84,174,180,153,156,159,161,163,166,168,172,173,173,174,175,176,177,179,152,153,146,158,161,155,135,182,135,84,56,148,187,155,158,160,163,165,168,171,173,174,175,176,176,172,191,187,135,110,122,140,131,100,142,197,148,102,58,132,190,157,159,162,165,167,170,172,174,176,177,176,185,135,139,177,138,112,99,135,96,64,182,198,159,119,65,129,191,158,161,164,165,168,172,174,176,177,175,192,201,128,91,171,157,139,102,176,117,68,194,205,178,136,74,135,194,159,161,165,167,170,174,176,178,177,189,190,197,147,106,145,175,145,99,147,143,102,171,209,189,140,86,95,194,160,163,167,169,172,175,177,179,185,193,154,193,172,130,112,174,147,111,74,127,185,195,187,164,133,100,64,169,161,165,168,170,173,176,179,178,196,198,152,183,182,141,97,149,153,117,138,183,190,193,163,148,131,111,65,150,164,166,170,172,175,178,181,185,196,174,136,151,160,124,80,111,129,150,201,192,178,171,151,137,129,104,72,172,165,168,172,174,177,179,181,185,204,178,138,132,115,88,57,58,128,203,203,187,168,155,144,119,110,79,102,196,167,171,173,176,178,181,183,184,203,183,157,130,81,71,43,66,194,203,191,178,166,153,125,102,86,63,158,198,170,172,174,177,180,183,184,186,204,192,173,139,102,127,91,161,208,201,191,174,161,143,107,87,72,86,195,196,169,172,176,178,180,184,184,191,206,202,167,137,159,152,144,212,204,199,183,165,151,123,93,79,64,125,202,197,171,174,178,180,182,185,185,197,204,205,157,154,172,139,185,219,209,192,173,158,139,104,80,75,69,176,201,197,172,176,178,181,185,186,185,196,208,202,161,162,172,129,210,211,210,183,161,142,118,89,74,62,119,201,198,198,174,177,179,182,185,187,189,187,199,202,170,173,162,142,216,212,197,171,152,128,98,78,70,72,185,203,199,200,175,177,180,183,186,188,192,188,190,193,179,182,158,173,197,200,178,154,139,115,89,78,60,126,207,200,200,201,175,179,182,185,186,189,192,191,182,190,182,189,170,170,177,181,166,148,127,105,86,72,77,190,203,203,201,201,177,181,184,186,188,190,192,193,180,195,189,180,166,150,165,177,167,139,115,97,81,62,145,207,203,203,203,203,177,181,183,186,189,191,193,195,179,185,167,156,151,141,164,170,161,133,102,87,68,87,196,203,204,204,205,205,178,181,183,187,190,192,194,196,186,175,151,156,154,169,174,171,154,128,100,83,60,134,207,204,205,205,206,206
24,118,133,147,157,167,171,172,179,187,191,195,199,202,203,208,210,212,213,216,218,218,219,217,217,217,217,216,215,119,135,149,160,169,172,174,181,189,194,197,201,204,206,210,211,214,216,219,219,220,221,221,220,220,219,219,219,120,136,150,162,170,175,176,185,191,195,200,204,207,211,213,214,216,218,220,221,221,223,222,221,221,221,221,221,122,138,152,165,172,172,181,187,193,197,201,206,209,213,215,218,219,221,222,223,223,225,225,224,223,223,223,222,123,139,152,167,172,209,172,183,197,199,204,207,211,214,218,219,221,223,224,227,226,227,226,226,227,226,225,226,123,140,154,165,179,228,143,154,204,201,205,209,213,217,219,221,224,224,227,228,229,229,228,227,228,228,229,228,124,141,156,168,177,202,137,126,202,203,208,213,215,221,222,224,226,232,231,231,232,229,231,230,229,229,229,228,125,142,158,170,173,204,152,105,187,211,209,217,218,217,221,235,236,199,219,237,232,233,233,232,232,231,231,230,126,144,158,172,177,190,176,118,149,214,209,198,227,223,163,215,254,187,139,227,238,235,234,235,234,234,234,233,128,145,160,172,182,185,207,143,110,199,234,177,227,244,146,184,243,183,116,155,247,236,236,236,236,236,235,234,128,146,161,174,183,184,200,169,136,201,255,204,246,254,160,225,224,140,110,117,230,241,238,237,237,238,238,237,130,147,162,176,185,187,195,219,167,204,255,209,236,250,153,236,212,115,97,105,189,252,237,240,241,241,235,225,132,149,163,176,185,189,192,213,195,229,255,201,213,250,156,243,221,112,99,113,144,255,240,243,241,234,222,201,132,150,164,178,187,191,191,212,255,236,253,215,194,236,159,255,223,97,94,113,103,227,253,239,240,241,205,155,134,151,166,179,188,192,192,222,252,206,216,201,152,211,164,255,186,77,105,125,111,158,237,230,245,219,154,118,136,153,168,181,189,194,195,219,255,231,205,187,139,195,165,131,85,101,117,143,172,185,211,218,203,145,118,209,136,155,169,182,189,193,196,215,255,249,204,183,192,196,219,132,139,208,202,212,209,201,192,179,132,137,234,255,136,155,171,183,191,194,197,211,255,255,226,194,187,195,231,235,255,255,241,225,204,176,157,125,132,247,255,248,137,156,172,183,191,193,199,210,255,255,222,194,207,251,255,255,255,242,227,209,178,150,115,121,241,255,251,252,138,157,172,183,191,194,201,207,255,255,230,214,221,254,255,255,255,231,211,182,149,107,128,236,255,252,255,253,140,158,171,184,193,195,202,205,246,255,241,226,214,251,255,255,248,217,188,157,106,157,255,255,255,255,255,255,140,159,172,185,194,196,203,208,234,255,242,214,199,244,253,240,227,201,169,108,166,255,255,255,255,255,255,255,139,158,171,186,194,195,202,209,227,253,219,192,198,243,233,211,191,164,108,160,255,255,255,255,255,255,255,255,139,158,171,184,192,194,199,208,222,246,218,209,214,244,225,189,163,113,117,255,255,255,255,255,255,255,255,255,139,157,172,185,192,194,201,210,223,255,247,233,225,238,215,170,149,98,192,255,254,255,255,255,255,255,255,255,138,156,173,185,193,193,201,212,221,255,255,239,217,232,197,159,136,107,228,255,255,255,255,255,255,255,255,255,138,157,172,185,193,194,201,210,218,255,245,222,214,232,190,171,116,110,243,255,255,255,255,255,255,255,255,255,136,155,171,184,191,194,202,208,222,250,226,199,209,221,186,161,96,113,252,255,255,255,255,255,255,255,255,255
5,157,158,157,158,159,159,158,158,158,157,157,157,156,155,154,153,152,150,148,147,147,146,145,143,141,142,140,140,162,162,162,161,162,162,161,162,162,160,159,159,158,157,157,156,155,153,151,149,150,149,146,144,143,143,142,142,166,166,167,166,165,166,166,165,166,165,163,163,162,162,158,159,155,152,155,152,151,151,150,147,146,145,142,141,169,169,169,168,168,170,170,169,168,168,167,166,164,161,161,173,121,132,161,156,154,153,151,150,149,146,145,142,171,172,173,173,175,161,169,174,171,171,170,168,171,161,145,111,87,149,161,158,158,157,155,152,151,149,148,145,175,177,178,176,193,132,138,181,177,174,172,182,169,119,98,121,155,166,164,162,161,160,158,156,154,152,150,148,180,180,181,180,189,110,136,185,180,172,179,171,117,104,166,176,174,170,166,165,167,163,161,159,157,155,152,151,184,183,183,184,175,105,160,187,176,158,146,108,110,150,125,129,128,128,127,125,147,162,163,162,161,157,156,155,187,187,187,187,160,107,179,190,175,132,99,102,170,104,88,97,117,130,132,130,127,146,125,160,164,161,159,158,190,190,191,191,172,109,163,194,169,121,98,113,129,93,92,87,94,96,87,98,105,106,110,165,166,163,161,159,193,193,193,193,175,112,147,198,161,118,96,94,103,102,77,63,58,56,59,66,70,75,140,169,170,166,163,162,195,196,196,195,171,122,107,187,156,110,77,77,88,82,61,65,74,73,89,90,114,131,124,111,162,171,166,164,197,199,199,200,164,135,128,128,128,110,90,74,67,53,60,81,68,97,133,141,159,138,126,120,118,167,169,167,200,199,201,202,196,155,150,137,111,113,98,73,70,60,62,67,105,184,192,189,183,160,164,153,116,169,171,170,202,202,202,203,205,190,156,167,160,128,87,66,60,68,61,129,191,192,189,188,160,158,160,116,146,178,172,171,204,204,204,206,205,208,184,174,174,143,103,62,59,58,88,202,197,193,194,172,138,158,130,109,179,179,176,174,205,205,206,207,207,208,204,172,182,155,114,65,60,60,99,174,189,201,183,154,146,137,83,153,187,181,179,176,206,207,207,208,209,210,208,181,187,164,123,76,63,79,81,99,121,150,143,147,137,91,123,188,185,183,181,178,208,208,209,209,210,210,210,177,191,173,128,86,64,81,84,98,121,110,120,137,100,121,192,189,186,184,182,179,208,209,211,210,210,210,212,177,195,173,130,100,69,75,84,99,119,121,99,97,108,192,194,190,187,185,183,181,212,211,212,213,212,212,212,178,197,173,136,112,75,70,87,104,115,107,77,79,183,198,194,192,189,187,185,183,214,213,214,214,214,215,212,182,192,171,141,114,79,65,89,102,105,85,71,173,203,198,195,194,192,189,186,184,215,214,215,216,215,216,214,182,180,164,139,115,81,63,86,90,87,59,130,209,200,200,197,196,195,191,189,186,216,215,216,216,217,217,214,182,177,163,136,115,80,66,81,84,70,76,197,206,203,201,199,198,196,192,189,188,217,217,217,217,218,219,210,184,179,161,136,112,79,67,73,68,61,167,211,206,204,202,201,199,196,193,191,189,218,218,218,218,220,221,206,190,182,164,142,104,73,63,57,65,163,215,208,207,206,203,201,200,197,195,193,190,217,217,217,219,220,218,201,189,180,167,136,92,66,56,95,189,216,212,209,208,207,205,202,201,199,195,194,192,216,217,217,219,218,213,190,172,175,159,123,80,65,67,195,218,210,211,209,207,206,204,201,200,199,196,194,193
21,45,80,93,97,104,114,127,135,141,145,149,151,153,155,157,164,164,165,166,167,169,171,171,171,172,173,173,173,50,84,93,99,105,116,129,136,142,146,149,152,154,161,160,138,164,167,168,169,170,172,173,173,174,175,175,174,55,86,94,100,106,118,130,138,143,147,151,155,152,178,166,100,157,171,169,171,172,174,175,176,176,175,176,176,60,89,95,101,107,120,132,138,144,149,152,156,153,179,168,107,152,174,171,172,172,174,176,176,176,177,177,178,66,91,95,102,110,122,133,139,145,149,153,157,154,180,166,109,146,176,171,174,175,177,178,179,178,181,180,180,71,92,96,103,111,124,134,142,147,150,155,159,154,180,171,117,142,179,172,175,177,178,180,178,141,151,186,181,77,93,97,104,112,127,135,143,148,152,156,159,157,178,173,123,133,181,175,177,179,179,182,165,116,136,189,181,82,93,99,105,114,127,136,144,149,154,158,159,158,177,171,128,122,180,176,178,179,184,179,147,114,174,186,183,85,94,100,106,114,129,137,144,150,155,158,159,159,183,181,129,118,180,176,179,180,187,169,125,139,191,184,185,88,95,101,107,117,132,139,146,150,155,158,162,161,188,186,138,124,181,178,180,182,173,149,117,179,188,186,186,91,96,101,108,118,132,139,146,151,155,158,161,158,178,171,134,120,178,177,182,183,166,120,142,194,186,187,187,92,96,102,109,120,133,141,146,151,157,160,187,157,146,147,118,116,178,179,183,183,153,114,180,189,187,188,188,92,96,104,110,121,134,141,147,154,155,165,193,152,118,113,102,119,166,173,177,171,117,146,194,187,189,189,189,94,98,104,109,122,135,142,148,154,157,186,158,136,116,90,99,121,154,163,160,134,112,187,188,189,189,190,190,93,98,104,110,124,136,143,150,150,185,196,175,150,135,97,90,110,134,146,135,102,154,196,187,190,190,190,190,94,98,105,112,126,136,143,149,154,193,186,202,185,152,108,89,107,118,132,117,113,192,190,190,190,191,190,191,94,99,106,113,127,136,144,146,169,172,171,196,185,131,104,95,99,110,117,100,152,197,190,191,192,192,192,192,94,100,107,114,129,137,147,147,183,181,153,129,155,130,109,98,96,101,103,98,178,193,192,192,192,192,192,192,96,101,107,114,129,137,146,149,185,156,127,115,148,146,116,99,97,95,98,100,183,193,192,194,194,194,193,193,96,102,106,115,129,138,145,156,194,162,157,143,143,165,125,109,102,97,94,101,185,194,193,193,194,195,195,195,96,102,108,115,130,139,143,163,193,173,160,136,191,192,136,128,106,93,93,109,191,193,193,194,194,195,195,195,96,102,109,117,132,139,143,167,202,182,150,162,215,180,141,131,108,94,91,118,196,192,194,194,194,194,195,195,97,104,109,118,131,139,143,168,203,165,150,175,196,160,131,124,112,98,88,140,201,192,194,195,195,195,196,196,99,104,107,118,132,140,145,164,188,160,159,171,188,157,140,116,111,99,89,164,197,192,195,195,196,196,197,197,98,103,107,119,133,140,145,160,174,174,171,167,190,154,149,123,100,97,94,179,196,193,195,195,196,197,197,197,98,103,109,121,132,139,148,154,177,193,158,171,185,144,134,117,98,92,105,188,194,194,196,196,196,197,197,197,97,102,106,120,131,138,148,150,176,187,157,154,168,131,117,103,97,85,121,194,190,194,196,196,196,197,197,197,96,101,105,119,129,138,146,151,165,171,156,154,154,131,117,107,98,81,133,196,188,193,194,194,195,196,196,196
7,141,144,146,147,149,149,152,152,152,153,152,153,152,152,151,151,151,150,151,149,148,147,146,145,144,143,142,141,143,146,148,149,150,150,153,153,153,154,154,154,153,153,153,152,152,150,150,151,150,148,147,146,145,145,144,144,145,147,149,150,153,153,155,155,157,158,157,155,155,156,156,154,153,153,152,153,151,150,149,147,146,146,145,144,146,148,151,152,154,155,158,157,158,158,157,158,159,158,156,155,154,155,153,153,152,152,149,149,148,147,146,146,148,150,153,154,155,157,160,160,159,160,159,159,160,159,158,157,157,155,155,153,153,152,151,151,150,148,149,147,150,153,156,157,159,161,161,162,162,161,161,160,159,160,160,159,158,157,156,155,153,154,153,152,151,150,149,147,152,154,157,158,161,164,166,169,167,165,166,167,167,167,166,165,164,163,162,163,160,156,156,153,153,152,150,149,153,155,159,160,161,160,145,138,148,154,146,136,137,138,144,144,141,138,143,131,131,149,153,155,155,154,151,151,155,158,161,161,160,144,111,85,87,101,114,104,95,84,100,119,118,102,116,88,114,156,126,154,157,154,153,152,156,159,157,155,145,134,124,112,82,65,85,92,96,81,86,106,104,99,96,91,102,129,110,154,160,157,154,153,154,151,142,136,138,143,144,121,67,50,67,80,72,47,58,54,60,69,63,61,68,74,118,160,144,155,157,154,145,140,139,140,132,121,133,102,43,56,69,88,86,72,53,66,100,118,108,89,103,104,139,184,108,138,162,155,143,139,136,129,118,112,117,109,66,38,45,64,72,85,78,65,102,122,112,100,99,96,86,103,102,157,161,158,142,133,125,121,121,119,118,121,92,40,13,14,26,50,56,53,68,66,69,63,69,82,96,121,160,165,160,160,135,127,122,118,117,116,117,108,77,39,14,26,102,78,74,83,97,111,122,136,158,168,171,173,166,163,162,161,127,119,112,110,103,103,100,91,67,32,23,12,137,193,173,178,183,183,180,176,173,169,167,167,166,166,164,162,121,116,112,110,109,107,104,100,80,34,19,18,43,184,176,177,175,174,173,171,171,171,170,168,167,167,164,162,121,119,113,113,108,108,112,113,83,35,23,24,21,168,183,177,178,177,175,174,173,173,172,169,168,168,166,165,127,129,124,113,105,94,98,96,70,43,36,29,9,132,191,178,177,176,177,176,175,174,173,171,171,168,167,166,129,129,125,111,103,90,84,76,55,46,47,37,16,47,191,180,180,179,178,177,176,175,174,173,172,170,168,166,122,117,106,90,82,74,65,59,47,42,49,34,7,72,191,180,180,180,178,176,176,175,174,173,172,170,169,167,105,100,81,60,47,43,47,25,22,34,36,60,121,166,184,180,179,179,178,176,176,175,174,174,173,170,168,167,60,72,62,40,62,111,162,129,91,99,137,177,193,184,182,182,181,180,178,177,176,176,175,174,173,172,168,167,0,0,0,77,187,185,185,191,192,191,192,186,181,183,184,183,183,181,180,179,179,177,175,174,173,172,170,169,0,0,0,157,186,178,182,181,182,183,184,184,186,184,183,183,183,182,181,180,178,177,176,175,173,173,170,167,0,0,61,190,176,181,182,183,186,186,185,186,186,184,184,183,183,181,181,180,177,175,176,174,174,175,174,175,0,0,161,185,180,184,185,187,188,188,189,189,188,187,186,186,185,185,184,184,182,180,181,182,174,168,157,142,0,0,148,167,162,164,166,167,167,168,167,166,166,167,165,163,162,161,161,160,158,156,143,102,59,42,22,6
7,105,115,125,132,135,137,143,149,154,158,160,163,166,168,170,172,174,175,176,177,177,178,178,178,178,179,178,176,105,116,127,133,137,139,144,151,155,158,161,164,168,170,171,173,174,176,177,179,179,179,179,180,179,179,179,177,105,117,128,135,139,140,146,152,156,159,162,165,169,171,173,174,176,177,179,181,181,181,180,180,180,181,180,178,106,116,127,136,140,142,147,153,157,162,164,167,169,171,174,176,177,178,180,181,181,181,183,182,182,183,181,181,106,118,128,136,140,142,148,153,157,162,165,168,170,173,175,177,178,179,180,182,183,183,183,183,183,183,182,183,108,118,128,137,140,142,148,153,158,163,166,169,170,173,177,178,180,180,181,183,184,184,184,184,184,183,184,183,108,119,129,137,140,144,149,154,160,163,167,170,172,174,177,180,182,182,182,183,184,184,186,185,184,184,184,184,108,119,130,138,139,145,151,155,159,163,167,169,171,174,178,180,182,183,184,187,189,188,187,186,185,185,185,185,109,120,131,140,142,142,146,164,173,169,173,179,179,183,181,174,171,178,175,176,175,175,184,189,187,187,188,186,109,122,132,139,139,155,183,198,193,178,173,188,197,198,194,177,176,193,180,169,161,144,168,170,185,189,189,187,112,120,128,148,179,199,200,194,191,172,154,161,173,178,177,159,159,177,171,160,150,142,156,138,184,195,190,188,106,128,168,197,202,194,194,200,190,164,153,169,186,190,196,175,165,174,165,177,174,157,150,159,166,171,186,191,154,193,206,197,201,197,197,199,185,152,137,142,173,180,179,176,178,171,174,183,184,174,169,172,157,173,159,176,207,204,203,202,207,199,199,204,198,138,108,114,111,102,114,130,132,138,141,141,145,148,146,148,142,153,145,179,208,210,207,203,204,201,202,213,182,123,99,104,105,81,63,71,149,169,172,174,170,168,165,165,165,167,180,190,211,207,203,200,202,201,204,201,156,105,102,109,109,101,88,66,171,195,192,194,195,195,196,195,195,196,193,191,202,203,204,202,204,204,206,202,149,96,83,93,112,128,112,79,135,197,187,190,192,192,191,192,191,192,191,191,203,209,207,206,209,208,215,200,139,94,89,56,63,110,111,91,137,196,190,192,193,194,193,192,192,193,192,191,205,201,200,194,187,185,192,155,123,99,95,89,71,96,119,137,179,189,189,190,190,192,190,190,190,190,189,188,188,188,181,171,159,166,162,129,114,106,102,88,88,100,114,120,119,118,118,119,120,117,115,115,114,112,111,110,168,168,160,154,148,145,136,109,103,97,105,98,96,97,96,94,92,93,90,91,92,92,93,94,93,91,88,86,126,139,137,128,115,106,102,103,103,101,103,104,104,104,105,104,101,106,107,103,102,100,98,100,99,98,95,95,104,107,100,95,97,101,103,103,101,102,102,101,101,102,101,101,99,105,106,104,105,100,97,96,96,97,96,97,84,78,85,100,103,105,105,103,103,103,103,103,103,101,102,102,101,100,98,100,102,99,97,97,96,95,97,91,95,85,88,101,104,105,105,105,105,105,105,106,104,103,104,104,103,102,101,101,101,100,100,97,96,98,91,110,111,95,89,97,104,104,104,104,104,105,105,105,103,103,104,103,103,102,102,100,99,99,99,98,98,94,101,191,98,90,92,92,102,104,104,104,104,105,105,105,104,104,103,103,103,102,102,101,101,99,98,99,96,92,182,192,101,95,90,86,102,104,104,104,104,104,103,104,103,102,102,102,102,102,101,101,100,99,99,97,109,164,176,157
4,154,154,154,153,152,152,150,150,150,150,149,149,148,147,146,145,143,143,142,140,139,138,137,135,134,134,134,132,155,155,155,154,153,153,153,152,151,150,150,149,149,147,146,146,144,143,143,142,141,139,138,137,135,134,134,133,156,156,155,155,156,154,153,153,153,153,152,150,150,148,147,147,145,143,142,143,143,140,140,138,137,135,134,134,158,156,156,156,156,156,155,156,155,154,153,152,152,153,151,147,148,149,144,142,142,142,141,139,137,137,136,135,159,159,159,158,157,156,157,155,154,154,154,145,137,139,139,145,127,124,146,147,144,145,140,139,139,138,137,136,160,160,160,158,158,158,157,156,155,156,154,144,137,133,114,92,98,92,98,139,136,139,146,139,140,138,137,135,161,160,159,159,159,160,159,158,156,145,146,131,101,75,119,78,46,100,88,69,73,68,112,147,139,139,138,135,162,161,160,161,160,160,159,159,154,152,145,134,106,48,85,86,35,81,86,45,50,62,56,144,141,140,139,137,161,162,162,161,162,161,160,160,158,122,89,111,131,69,76,101,93,84,69,39,74,85,47,117,148,139,140,138,162,162,163,162,162,162,162,159,161,131,68,34,137,109,79,102,125,108,75,77,75,93,63,106,151,139,140,139,163,164,163,162,163,163,162,162,152,108,63,15,64,90,50,68,81,105,86,86,77,85,64,81,152,140,141,140,164,165,164,164,164,163,163,163,145,112,91,70,40,48,48,41,32,73,99,84,75,75,74,56,143,143,141,140,165,165,165,164,163,165,164,162,150,135,108,74,45,48,61,53,57,52,62,70,74,98,96,47,119,149,140,140,165,166,165,164,165,166,164,162,154,126,90,65,44,48,56,65,82,69,47,62,126,119,102,58,90,153,139,140,167,167,166,166,167,167,163,164,153,120,88,56,43,48,60,77,80,72,79,93,105,121,117,80,67,150,141,141,168,168,167,168,168,167,164,163,157,134,102,66,48,56,68,83,82,87,117,133,116,119,122,87,50,140,144,141,168,168,168,169,169,168,166,161,153,135,110,74,50,55,71,92,101,108,124,129,125,113,96,77,39,134,146,142,168,169,169,169,169,168,167,161,152,144,120,89,58,53,73,94,113,127,136,132,116,103,83,53,48,146,144,142,168,169,169,169,169,169,167,160,148,148,128,100,74,54,62,108,126,140,139,129,109,93,73,30,91,154,143,143,169,169,170,169,169,170,169,158,145,144,131,106,81,63,64,121,135,139,135,120,98,83,56,39,143,147,145,144,170,170,170,168,168,168,169,155,140,139,138,115,86,75,74,125,135,133,127,109,88,73,34,91,157,145,146,144,170,170,170,169,169,169,171,155,139,141,139,119,96,83,84,126,132,130,115,94,79,57,39,144,150,148,146,144,171,170,169,171,170,170,171,160,144,148,142,123,102,82,82,125,125,120,103,79,68,30,94,160,148,149,147,146,171,170,169,171,170,171,172,164,147,152,139,123,109,85,77,116,116,105,87,70,42,46,153,152,150,149,148,147,171,171,171,173,172,171,172,164,156,152,138,126,112,94,79,98,102,88,74,56,24,126,159,151,149,149,148,147,171,171,172,173,172,171,173,165,156,148,136,123,110,101,87,85,92,77,62,24,87,164,152,152,151,149,149,147,171,172,173,173,173,172,170,160,155,148,138,131,122,110,97,80,80,66,40,50,158,156,155,153,152,150,148,147,172,173,173,173,173,174,161,152,157,149,136,133,121,106,99,79,70,56,27,117,165,153,155,153,152,150,149,148
13,195,196,196,196,195,195,197,198,197,196,196,197,198,199,199,198,199,199,200,199,200,198,198,197,197,197,196,195,196,198,198,197,197,197,199,198,198,198,198,198,198,200,201,200,201,200,200,200,201,200,198,199,200,199,197,196,197,199,198,199,199,199,200,199,200,199,200,200,200,200,201,201,200,198,199,202,202,201,200,200,200,199,198,198,197,198,199,199,199,201,201,201,200,199,200,202,202,202,205,211,208,183,163,181,190,196,202,202,202,200,200,200,197,198,199,200,200,202,201,201,200,200,201,202,201,210,226,230,225,194,149,118,129,139,183,204,202,201,201,201,198,198,199,201,201,201,201,201,203,203,201,201,200,206,203,214,223,203,155,110,95,111,134,205,202,202,202,201,199,199,200,201,201,201,201,202,203,202,205,192,174,190,175,171,201,204,175,122,102,141,127,200,203,203,203,202,199,200,201,201,202,203,203,204,203,208,224,192,158,178,188,189,199,194,185,126,96,126,126,197,205,204,204,203,199,200,201,202,202,203,203,203,200,207,227,202,174,148,159,187,200,181,142,102,74,125,183,205,206,205,205,205,199,201,201,201,202,204,202,209,202,156,165,206,194,155,99,124,178,183,155,135,109,112,195,208,206,205,205,204,199,200,202,202,201,201,209,223,197,134,110,178,211,171,106,54,112,145,164,183,164,118,149,208,206,206,205,205,199,200,201,201,202,211,225,211,182,139,107,142,214,178,132,67,61,77,166,206,193,153,116,183,207,206,205,205,200,200,200,201,207,219,204,184,181,155,121,106,206,188,158,101,60,67,137,213,208,175,126,130,203,206,204,204,201,201,201,202,216,207,176,165,187,167,132,84,162,205,179,134,68,75,130,207,211,180,143,110,175,208,206,205,202,201,202,204,220,212,187,161,186,172,146,109,84,185,199,164,112,104,194,205,199,174,148,114,157,210,207,206,201,200,200,204,216,207,189,160,159,175,174,142,73,101,194,192,174,142,201,199,177,149,130,105,163,210,207,206,201,201,201,203,219,221,204,178,152,154,179,160,133,74,151,197,185,184,199,186,164,135,107,100,185,209,207,206,201,201,202,202,217,226,215,193,175,161,164,160,167,122,178,215,209,210,195,176,154,127,101,114,201,209,209,208,156,159,162,164,200,229,222,204,186,177,177,163,141,146,207,226,224,207,190,171,147,118,94,141,206,209,208,207,102,102,102,100,159,228,222,212,197,186,186,182,157,149,198,224,223,204,178,161,139,110,94,126,154,157,160,161,101,101,101,98,127,215,217,215,211,199,190,185,170,144,170,215,214,197,171,145,125,103,95,97,96,96,100,107,102,102,102,102,104,186,213,213,215,210,199,186,172,153,146,197,200,184,163,133,114,99,93,101,109,128,152,175,101,103,104,104,100,138,208,211,216,215,201,186,170,156,144,168,184,169,145,127,108,91,110,165,186,199,205,209,102,103,103,104,105,104,173,213,212,207,191,177,164,152,140,145,164,158,139,120,103,88,163,216,207,199,193,198,102,103,103,102,104,100,127,208,207,191,177,168,160,148,130,130,152,159,143,111,93,102,201,213,198,184,167,162,102,103,103,102,101,103,105,187,207,181,166,164,157,143,124,118,155,166,134,100,87,148,217,210,191,155,142,145,102,102,103,101,101,105,101,168,210,189,180,173,158,140,125,116,160,159,116,93,98,199,220,220,197,146,118,137,102,103,104,101,101,104,99,159,214,198,193,182,163,144,131,115,161,145,106,86,124,213,214,227,212,157,110,122
4,135,136,138,139,140,142,144,147,148,150,151,152,152,154,156,157,158,159,160,161,162,162,162,161,162,163,165,165,134,136,138,140,141,143,145,147,149,150,151,152,154,153,155,157,158,159,161,161,162,162,163,164,164,164,165,166,135,137,140,141,143,144,145,148,149,150,151,152,155,155,153,153,158,159,160,161,162,163,164,166,166,166,166,166,135,137,141,142,143,144,146,148,151,156,153,144,145,163,156,135,129,156,158,161,163,163,165,166,166,166,167,168,136,139,141,144,144,144,147,149,150,157,164,147,112,137,159,126,97,115,133,125,152,165,166,167,167,167,168,168,138,140,142,144,143,149,172,163,141,114,152,145,105,108,149,118,86,92,118,94,116,169,168,168,168,168,168,168,138,141,143,144,143,164,190,173,131,98,133,144,105,91,144,138,85,90,123,98,104,168,167,168,169,169,169,169,138,140,144,146,145,174,168,174,137,102,114,153,115,73,137,150,95,93,138,104,103,169,168,169,170,171,170,171,139,142,144,145,148,181,155,152,151,114,85,147,118,54,105,158,130,109,125,108,109,150,169,170,171,171,171,172,141,143,144,145,152,180,154,136,126,98,63,93,97,52,76,147,140,125,120,119,120,115,162,171,171,172,173,173,142,143,146,145,159,179,158,139,122,103,89,78,97,85,87,127,141,137,125,118,124,122,140,172,172,173,174,174,143,144,147,145,176,178,153,130,119,106,93,95,114,102,110,125,133,126,115,132,152,135,120,170,172,174,174,175,143,145,147,149,185,172,148,125,110,95,91,103,117,114,125,140,127,105,128,165,160,143,114,161,175,175,175,175,143,146,147,156,193,171,148,126,112,99,96,106,116,125,134,148,150,151,150,152,148,137,112,141,177,176,175,175,144,147,147,162,196,173,153,133,112,101,97,109,123,136,143,155,168,166,158,148,133,117,102,114,176,176,175,175,145,146,146,168,200,174,157,139,117,103,103,107,128,145,160,167,170,163,157,144,128,109,92,100,175,177,177,176,147,148,145,173,201,175,161,144,128,113,110,112,137,162,175,174,167,156,150,140,123,104,87,108,177,178,178,177,146,149,146,177,203,181,167,153,141,122,117,130,149,175,181,175,166,153,142,131,115,99,85,141,181,177,179,180,149,150,147,173,205,189,174,162,152,137,127,144,154,173,178,172,165,153,137,120,101,87,100,172,179,178,179,180,149,149,149,166,208,195,179,165,157,145,137,146,157,173,176,168,164,155,135,114,92,82,144,180,178,178,179,180,149,150,150,158,207,198,179,163,154,146,143,148,160,174,174,162,158,153,134,117,89,111,176,179,178,178,179,180,150,150,151,153,206,198,175,166,158,152,151,154,164,169,164,156,148,144,134,113,95,160,181,180,180,179,180,181,149,151,151,154,206,192,175,175,167,161,158,156,162,164,154,147,139,135,125,100,137,180,180,180,180,179,180,182,150,151,150,158,207,186,179,182,174,171,165,157,159,160,150,141,132,120,104,125,175,180,179,180,180,180,181,182,150,151,149,165,207,194,183,179,174,176,168,155,152,153,146,134,120,100,113,173,179,180,179,180,181,181,182,182,149,150,149,172,209,202,180,174,175,179,168,148,144,144,139,125,108,90,155,179,178,179,180,180,181,181,181,182,149,150,149,181,208,202,179,171,176,175,163,145,137,139,133,117,94,110,178,178,178,178,180,180,181,181,181,182,150,151,149,187,209,203,177,170,173,171,158,143,135,141,129,109,86,138,181,179,178,180,181,181,181,181,181,182
4,199,199,201,201,201,200,199,199,198,199,199,197,197,196,197,196,193,193,193,191,189,191,190,188,189,187,185,184,202,201,202,202,202,201,199,199,199,199,198,197,198,196,196,197,196,196,194,193,192,191,190,189,188,189,188,186,203,204,204,204,202,202,201,202,202,200,199,199,197,196,197,198,195,195,196,192,191,192,192,190,188,188,189,188,204,205,204,205,205,204,204,204,203,204,202,200,201,203,200,198,200,197,194,194,193,193,192,190,191,190,190,189,206,206,205,205,206,205,204,202,198,189,196,203,178,170,194,195,181,182,200,195,196,192,191,192,191,191,190,189,207,207,207,207,207,205,208,213,186,168,127,146,173,127,106,169,165,113,135,209,198,199,193,194,192,192,191,189,208,209,207,208,208,203,219,225,193,159,107,84,160,127,73,135,160,111,76,118,138,157,197,194,194,193,192,190,210,210,210,209,205,213,225,198,203,140,92,89,154,111,67,131,151,103,83,52,84,78,127,201,192,193,192,191,211,210,211,211,207,216,224,185,201,142,127,84,161,151,64,121,181,132,84,56,82,73,87,202,192,195,195,191,211,210,212,212,209,214,215,166,190,191,166,88,191,185,65,120,229,156,87,62,126,102,108,204,194,196,196,194,211,211,212,212,207,222,238,205,171,182,132,87,191,161,59,107,214,146,85,92,160,151,101,190,199,196,196,194,213,212,211,213,211,232,224,197,168,136,97,69,108,92,108,191,155,145,155,144,152,144,92,133,209,195,197,194,213,213,216,214,216,228,204,177,145,122,110,96,73,61,126,217,165,155,173,161,156,140,124,96,187,201,196,196,214,213,216,212,219,245,223,197,169,119,93,86,82,87,80,156,167,150,165,155,135,167,162,100,139,210,194,197,214,214,216,214,224,245,223,205,163,113,100,90,81,82,89,112,121,133,153,99,136,192,176,130,94,204,198,197,217,217,219,215,231,244,226,206,155,111,110,92,83,90,107,121,131,158,173,154,150,191,186,138,76,174,206,198,217,218,218,215,233,242,226,184,151,124,109,96,80,116,157,185,195,199,187,196,165,144,157,127,75,134,211,196,218,219,219,216,232,242,222,184,163,117,103,114,149,193,205,205,194,192,175,161,167,124,120,112,85,104,210,196,219,220,219,219,235,239,218,188,169,139,137,166,193,209,201,200,189,179,166,149,150,125,109,109,90,87,209,199,219,219,221,216,220,238,222,196,184,152,153,185,184,214,199,192,182,175,162,144,133,118,103,103,66,119,212,199,221,222,225,128,98,127,178,210,181,154,144,179,178,191,188,181,183,165,139,129,122,102,89,66,90,203,204,202,220,233,192,77,82,71,77,94,94,90,100,141,163,175,178,175,167,145,123,119,102,88,60,74,195,210,205,205,223,232,125,79,79,79,79,41,26,49,47,53,77,107,135,166,155,137,119,101,84,56,72,191,212,204,207,205,237,181,76,83,75,74,77,65,16,40,48,45,41,37,43,72,99,108,93,74,47,84,196,215,206,208,208,207,228,111,76,75,67,66,73,71,15,26,42,45,41,40,37,31,33,49,49,40,113,209,215,209,210,209,209,207,164,76,84,67,62,67,72,62,11,23,38,40,37,34,38,37,36,35,6,94,235,211,211,212,210,210,210,207,94,79,58,92,90,44,80,41,7,26,38,37,32,34,34,32,36,29,16,21,179,224,211,213,212,211,210,209,77,69,55,84,114,60,64,17,14,30,32,31,28,30,31,33,34,21,22,4,116,234,210,215,212,211,210,210
20,146,148,149,148,149,151,151,153,153,152,152,152,152,152,151,150,147,150,146,145,145,143,141,140,137,135,133,131,150,152,153,153,154,155,156,156,156,156,156,156,156,156,154,164,150,106,156,152,147,147,145,142,141,139,136,135,156,157,157,158,159,159,159,159,160,160,161,160,160,160,158,169,162,81,119,144,155,150,149,147,146,143,141,139,159,161,163,163,163,163,164,164,165,166,165,164,164,164,162,168,165,74,57,86,148,156,153,151,149,147,145,143,164,164,165,166,166,168,168,169,170,170,168,168,170,170,166,177,160,59,95,96,114,167,156,156,154,152,149,147,169,170,170,170,171,172,173,172,173,172,172,172,174,174,169,182,155,55,124,118,84,170,159,159,156,155,152,150,172,173,174,175,175,175,177,176,177,176,177,177,177,177,172,190,163,67,129,128,77,169,164,163,161,160,157,153,176,177,177,178,179,179,179,179,179,179,180,180,180,179,175,199,148,60,137,155,81,164,171,166,165,164,162,157,179,180,180,179,181,181,182,183,182,183,182,182,183,184,185,206,127,61,157,154,74,157,177,170,168,166,165,163,182,182,183,184,184,186,187,187,186,186,185,187,187,169,166,205,137,83,176,151,66,153,179,172,172,170,167,164,186,187,188,189,189,188,189,190,190,188,188,189,190,181,154,150,139,76,151,158,78,151,182,175,175,173,171,167,189,189,190,191,191,190,192,192,192,192,191,192,189,198,204,162,116,86,134,165,92,144,187,178,178,175,173,170,191,192,192,193,194,195,196,195,195,195,195,195,193,150,164,163,158,116,91,133,83,136,192,179,179,176,174,171,193,195,195,195,196,196,196,196,197,197,197,196,201,163,71,144,178,107,49,75,64,122,197,182,181,179,176,174,195,196,195,197,197,198,197,197,198,198,198,198,204,169,40,113,176,129,73,53,42,107,200,185,183,181,179,178,196,197,197,199,200,199,199,199,201,199,200,199,195,164,96,82,127,153,106,93,47,84,202,186,186,184,181,180,199,199,200,202,202,202,202,202,202,202,203,193,192,166,132,78,52,122,130,104,54,58,198,190,189,187,184,183,201,202,203,203,204,203,203,204,203,204,197,193,169,168,161,121,73,85,120,119,72,45,185,196,189,188,187,185,203,204,205,205,205,205,205,205,206,205,193,180,126,105,150,140,82,65,99,150,112,43,140,207,190,190,188,186,205,205,205,206,207,206,207,207,209,207,193,185,145,62,73,133,65,43,81,152,147,71,67,201,194,192,191,188,206,207,208,208,209,208,209,209,209,209,195,176,146,107,50,87,72,47,125,181,163,97,42,184,200,194,193,189,209,209,210,210,210,211,211,211,210,213,192,185,181,114,65,88,104,99,189,184,150,75,56,197,198,195,194,190,210,211,212,212,212,211,212,213,212,216,191,186,185,125,90,90,171,202,201,156,131,48,92,212,194,196,195,192,209,211,211,212,212,212,213,213,214,217,192,178,172,139,96,88,185,202,177,134,109,42,135,214,196,196,196,194,209,210,210,211,212,211,212,212,213,217,194,166,162,139,101,88,172,182,157,118,84,41,174,207,196,197,195,192,211,210,212,213,213,213,213,214,215,216,206,169,161,140,116,99,169,182,145,100,54,63,207,199,195,196,202,197,211,211,213,213,214,214,214,215,216,216,218,179,159,145,125,91,149,165,120,76,27,139,215,204,206,193,153,95,211,212,213,214,215,216,215,215,218,217,216,188,167,145,122,93,114,124,79,41,51,205,202,161,126,78,29,19
1,199,205,211,216,221,224,227,230,233,234,235,239,240,241,240,241,239,241,239,238,237,238,238,235,232,232,230,229,201,208,213,219,223,226,231,233,235,237,240,242,242,242,246,244,245,216,224,242,238,239,238,236,234,233,233,232,202,209,216,222,225,228,233,234,238,243,243,243,244,248,214,231,255,182,158,255,238,239,240,237,236,234,233,233,205,210,218,224,227,230,233,237,241,244,245,244,245,255,166,190,255,177,144,228,237,243,241,240,240,238,234,235,208,214,220,226,229,234,237,241,243,245,248,246,255,255,152,203,255,159,149,174,174,255,241,241,241,241,238,237,210,216,222,227,231,236,240,242,244,247,251,242,213,240,143,220,255,147,185,206,138,252,243,243,243,242,240,239,211,217,224,229,232,237,242,243,246,247,255,240,136,205,157,234,255,165,201,209,128,245,248,246,245,243,242,241,213,220,227,231,235,239,242,245,251,249,255,218,119,200,168,229,251,160,212,211,124,242,253,249,247,246,245,244,214,222,228,233,237,241,243,247,252,250,255,198,107,177,146,201,233,146,231,227,133,243,255,250,250,247,246,244,215,223,228,234,239,243,246,250,251,255,255,187,113,198,145,221,235,146,238,218,134,241,255,251,251,249,249,248,217,225,231,235,240,244,249,252,252,255,255,173,123,226,138,229,232,140,250,213,135,245,255,254,254,251,250,248,219,226,233,236,241,246,251,254,253,255,255,176,102,174,100,206,183,139,255,216,143,251,255,255,253,253,252,250,220,228,234,238,243,247,251,255,252,255,255,179,152,171,156,207,211,177,215,211,142,255,255,255,255,254,254,252,219,229,235,239,244,249,252,255,255,255,255,206,175,241,253,255,255,226,148,175,148,255,255,255,255,255,254,254,220,230,236,240,245,251,253,254,255,255,228,184,142,158,225,217,255,255,195,112,136,255,255,255,255,255,255,255,223,230,237,241,247,251,254,252,255,255,220,165,142,125,154,149,255,255,249,135,129,255,255,255,255,255,255,255,222,231,238,242,248,251,255,254,255,255,206,162,158,154,177,227,243,255,252,170,147,255,255,255,255,255,255,255,224,232,238,242,249,253,255,255,255,255,211,164,170,165,213,255,255,237,197,165,121,248,255,255,255,255,255,255,221,230,237,242,248,253,255,255,255,255,222,183,179,187,255,255,252,221,173,131,113,252,255,255,255,255,255,255,222,230,237,241,245,251,253,255,255,255,216,187,183,198,255,255,245,204,162,113,112,255,255,255,255,255,255,255,223,231,238,242,247,252,255,255,255,255,223,210,184,195,255,255,235,190,153,100,137,255,255,255,255,255,255,255,223,232,239,244,247,253,255,255,255,255,238,236,193,185,255,255,222,171,136,93,223,255,255,255,255,255,255,255,225,232,238,244,248,253,255,255,255,255,246,242,192,195,255,247,213,161,110,127,255,255,255,255,255,255,255,255,223,230,236,242,248,251,255,255,255,255,247,230,177,203,255,216,195,146,88,187,255,255,255,255,255,255,255,255,225,233,240,248,255,255,255,255,255,255,241,209,172,208,227,197,175,128,103,255,255,255,255,255,255,255,255,255,186,189,191,193,197,202,196,226,255,255,242,209,187,214,208,193,162,112,119,208,206,207,207,209,210,210,208,206,146,142,141,143,141,145,132,248,255,255,252,211,209,206,183,173,133,100,122,129,129,128,128,130,124,124,121,119,157,155,156,158,159,155,168,255,255,240,238,224,206,178,164,149,104,112,147,145,144,142,142,142,142,139,140,142
7,201,202,203,205,207,207,207,207,208,208,208,208,208,209,209,209,209,208,209,208,207,206,204,203,201,200,198,197,202,204,205,206,207,209,209,210,210,210,209,210,210,210,211,212,211,210,210,210,209,207,206,204,201,201,201,199,203,205,207,209,210,212,211,211,212,213,212,213,213,214,214,213,212,213,213,212,211,210,208,206,205,203,202,201,206,208,209,211,212,212,214,213,213,214,215,215,215,216,215,214,214,214,215,214,212,211,209,208,208,206,204,202,208,210,212,212,214,215,215,215,215,216,216,216,216,216,217,216,216,216,216,215,214,214,212,211,210,208,207,206,210,212,213,214,215,216,216,217,218,217,217,219,218,218,218,218,217,217,217,217,216,214,214,213,211,209,208,206,212,213,213,216,217,218,218,219,220,219,219,220,220,220,220,219,219,220,219,218,218,216,215,214,214,212,210,209,213,215,215,218,219,220,221,221,222,221,221,222,222,222,222,222,222,222,222,220,220,218,217,216,216,215,212,211,214,215,217,219,220,222,225,227,218,200,210,217,218,218,220,221,222,221,220,220,218,217,221,216,216,215,214,213,215,217,219,223,227,229,231,233,224,194,176,192,206,207,209,208,207,209,209,208,207,218,231,206,218,216,215,214,220,225,229,232,231,229,227,224,219,191,162,173,187,195,197,193,190,191,189,196,190,188,181,203,218,217,216,216,233,233,232,229,224,216,209,210,214,196,163,153,162,179,189,195,195,186,188,192,184,183,191,191,212,213,217,217,232,229,222,217,213,209,207,213,221,205,166,155,155,152,156,160,164,168,175,180,179,181,190,185,194,191,218,218,228,219,210,205,201,203,206,212,209,189,165,156,162,166,161,146,147,192,193,189,183,182,183,186,190,210,221,221,226,215,204,199,199,199,196,205,211,190,156,139,153,169,171,162,149,209,229,228,228,227,226,225,225,225,222,222,227,218,210,205,205,204,201,204,214,199,166,152,157,155,153,151,150,219,231,231,231,230,229,227,226,226,225,223,221,218,215,210,206,204,204,207,213,199,172,167,172,165,162,144,188,234,233,233,232,232,231,230,229,228,225,209,209,214,216,214,208,202,199,199,192,181,165,162,167,165,159,162,230,235,234,235,233,233,232,231,231,229,185,142,173,194,209,210,200,194,189,182,170,154,138,110,120,145,147,196,237,236,235,235,234,234,233,233,232,213,139,134,84,111,154,182,179,170,167,171,192,201,144,109,122,145,164,229,236,236,236,235,234,233,232,232,223,173,128,118,60,58,66,86,146,207,223,232,236,237,218,156,172,197,226,238,238,237,236,235,234,234,230,222,169,126,109,92,53,52,51,63,209,235,236,237,237,238,237,234,235,238,238,239,239,238,237,236,232,197,158,138,117,103,92,78,48,46,45,73,231,236,236,238,238,239,239,238,237,238,239,240,240,239,237,212,163,130,126,115,105,92,81,73,49,47,43,66,232,237,237,238,239,239,239,240,240,239,241,240,240,240,213,141,99,94,107,100,95,93,85,71,55,48,34,63,231,236,237,238,238,240,240,241,241,241,241,241,240,212,154,126,93,74,87,92,87,88,89,74,53,38,26,49,191,201,204,207,209,211,213,214,216,218,218,221,205,137,103,121,91,66,67,81,79,81,89,82,41,26,28,53,131,133,134,136,138,141,143,144,145,146,145,155,150,109,89,115,88,60,63,71,73,75,84,86,29,27,32,72,136,135,134,136,135,135,135,136,136,134,138,146,133,98,82,109,82,58,58,65,68,71,78,84
1,153,158,163,166,170,173,176,178,180,181,182,185,186,186,186,186,185,184,184,184,184,184,184,181,179,179,177,177,155,160,164,169,172,174,178,180,182,183,185,187,187,188,188,188,188,168,171,186,185,184,184,182,181,180,180,179,156,161,166,171,173,176,179,181,184,187,188,188,189,190,167,178,195,146,129,190,186,185,185,183,182,181,180,180,158,162,168,172,175,178,180,183,186,189,189,189,192,198,137,153,196,140,116,169,181,187,187,186,185,184,181,181,160,164,169,174,177,181,183,186,188,189,191,192,197,196,126,157,191,129,115,136,140,190,188,187,187,186,184,183,162,166,171,175,179,182,185,187,189,191,193,186,165,178,120,168,189,124,138,150,116,187,189,188,188,187,186,185,163,167,173,177,180,183,187,188,190,192,199,179,116,153,125,178,197,135,152,154,108,184,191,190,189,188,187,186,164,170,175,178,181,184,187,189,193,194,204,164,100,146,130,174,185,131,161,156,105,182,195,193,191,190,189,188,165,171,176,180,183,186,188,191,194,195,204,150,90,131,117,156,171,123,173,167,111,183,196,194,193,191,190,189,166,172,176,181,184,188,191,193,195,199,206,144,93,143,117,168,173,121,179,163,112,182,196,195,195,193,192,192,167,173,178,182,185,189,192,195,197,204,201,136,97,157,112,170,169,117,187,162,112,185,197,197,196,195,193,192,169,174,180,183,187,190,194,196,198,210,204,138,87,127,90,154,143,116,191,165,117,189,199,198,196,196,195,193,170,175,180,184,188,191,195,197,198,215,200,142,117,132,125,160,161,140,162,157,117,192,200,200,199,197,197,195,170,176,181,185,189,192,195,198,202,220,196,156,135,174,187,195,197,172,123,130,117,195,201,201,200,199,197,197,170,177,182,186,190,194,196,198,211,218,178,141,113,126,167,169,198,202,150,95,107,199,202,201,201,201,199,198,172,178,183,187,191,194,196,198,219,213,170,128,109,100,120,127,197,219,185,110,106,202,203,202,201,201,200,199,172,178,184,187,192,195,197,200,225,209,161,126,119,117,137,172,190,207,187,132,117,202,204,203,203,202,201,200,173,179,184,187,192,195,198,203,227,203,163,129,128,129,166,209,200,184,153,123,100,188,207,204,203,203,202,202,171,178,183,187,192,196,198,205,229,205,170,142,137,146,196,219,196,169,133,100,92,189,208,206,204,204,203,202,172,178,183,187,190,194,197,205,228,206,168,146,140,155,212,225,190,157,122,88,92,197,206,204,204,203,202,201,173,178,183,187,191,195,198,204,226,207,174,161,143,154,215,222,182,145,113,81,111,204,207,205,204,204,203,202,173,179,184,188,191,196,199,203,222,211,185,178,150,148,216,207,171,132,100,80,167,209,207,206,206,205,203,202,173,179,184,188,192,196,200,202,219,215,192,182,150,154,208,191,163,121,86,103,202,208,207,207,206,204,203,202,173,178,183,188,193,196,200,202,222,218,192,174,141,158,193,169,148,108,76,145,211,209,207,207,205,204,203,202,171,176,182,188,193,196,199,201,223,212,187,161,137,159,172,153,132,97,85,185,211,209,208,207,205,205,203,202,142,145,146,148,151,154,154,179,226,207,187,161,146,161,158,146,120,87,92,153,158,158,159,160,160,160,158,157,113,111,110,111,111,112,113,190,224,207,192,165,159,156,141,130,101,78,92,102,102,102,102,103,99,99,97,96,118,116,117,118,118,117,130,215,209,189,184,172,157,139,126,112,82,84,107,107,107,105,105,105,105,103,104,104
24,135,141,147,151,156,159,163,167,169,172,176,179,181,182,184,186,186,187,187,187,188,189,189,189,189,189,189,188,137,143,149,154,158,161,164,168,172,175,178,180,183,185,187,187,187,188,189,189,190,191,192,193,192,192,191,191,139,145,151,157,160,164,166,169,174,177,180,182,185,187,188,189,190,191,192,192,193,193,195,195,194,193,194,194,140,147,154,145,161,166,169,172,175,179,182,185,187,189,191,192,193,194,195,195,195,195,196,196,195,195,196,196,141,151,157,103,137,169,170,174,178,181,183,186,188,191,194,194,194,195,195,197,197,196,197,197,197,197,197,197,143,151,149,98,93,173,172,177,180,182,186,188,189,193,195,196,196,196,197,200,200,197,199,200,200,200,200,200,145,153,158,112,72,159,175,177,182,185,187,191,193,196,197,199,200,198,200,201,201,200,200,201,201,202,201,201,146,153,162,129,71,131,180,180,181,184,190,189,177,187,198,179,187,202,200,202,203,202,201,202,203,202,201,201,148,156,163,147,93,92,179,178,143,131,177,185,145,109,153,160,122,175,206,203,203,203,203,203,203,194,172,136,149,156,162,168,119,74,145,169,151,137,139,195,161,108,134,168,118,106,208,205,204,204,205,204,196,173,129,109,151,156,162,170,140,99,104,155,188,168,132,185,173,125,150,172,114,83,195,209,207,207,205,199,180,137,110,193,151,158,163,168,165,130,102,96,186,180,133,162,179,128,147,174,114,70,174,212,209,208,201,195,159,100,162,213,152,159,165,169,174,143,113,115,146,189,149,137,185,134,130,182,132,66,159,214,210,198,198,187,128,95,204,211,154,161,166,172,175,161,168,148,126,164,148,100,166,126,105,183,149,68,120,212,186,181,192,155,93,165,215,211,155,162,167,171,174,184,182,128,97,116,137,78,134,121,97,211,176,63,64,131,154,176,161,103,133,216,212,213,154,160,167,172,175,183,171,134,109,106,126,102,119,132,93,130,111,68,109,144,154,148,115,99,203,215,214,214,155,162,166,170,175,179,195,173,130,112,110,122,98,158,121,103,161,170,175,160,129,112,82,158,218,212,214,213,155,162,167,170,175,179,197,188,159,137,113,102,109,151,174,201,200,189,173,150,112,90,102,207,213,212,214,213,155,161,167,171,176,179,196,197,184,151,116,96,134,180,207,202,193,176,159,133,100,86,179,215,213,215,215,215,156,162,167,171,177,180,196,204,194,153,117,113,156,191,206,199,184,162,138,117,85,143,217,214,215,216,216,216,155,161,167,173,177,180,189,200,201,163,141,145,151,190,200,196,176,153,127,99,96,206,215,214,215,216,216,216,149,157,163,168,174,179,182,192,196,171,149,155,136,172,187,183,165,147,114,85,161,221,216,216,215,217,218,218,103,107,108,111,115,120,123,158,189,171,151,146,118,141,167,154,142,124,98,104,185,191,194,197,199,203,207,208,94,94,96,98,97,98,96,111,192,175,142,131,105,132,161,142,119,103,88,98,106,107,110,112,112,116,118,118,97,98,102,103,103,103,105,102,181,164,132,119,116,135,157,132,105,86,86,106,107,107,107,108,105,105,112,124,97,97,99,100,100,102,103,102,184,161,143,136,135,137,144,121,91,78,93,108,109,108,109,115,135,171,181,169,98,99,102,101,101,103,102,107,197,177,164,157,142,129,136,108,85,75,100,110,109,110,106,134,199,193,208,182,100,100,102,102,102,103,102,112,191,178,174,161,130,119,127,98,84,73,100,110,109,109,111,187,221,190,175,206
19,208,208,209,212,214,215,214,214,215,214,214,213,213,213,212,212,210,208,208,208,207,207,206,204,205,204,202,200,208,209,212,213,213,215,215,215,216,216,216,215,214,214,213,213,212,210,208,209,209,208,207,206,206,206,205,203,209,211,213,213,215,216,216,217,217,217,217,217,216,215,216,213,212,212,211,211,210,209,208,208,209,207,206,206,212,213,214,215,217,217,218,219,219,217,219,217,216,216,217,215,214,213,213,212,212,212,210,209,209,207,207,207,213,214,215,216,218,219,220,221,221,221,222,219,218,218,217,216,214,214,214,214,213,213,212,211,208,208,208,207,213,214,216,217,220,221,222,222,221,222,222,221,222,219,217,217,216,215,215,216,215,214,212,212,210,210,209,208,214,216,219,221,221,222,224,224,224,224,223,222,222,220,220,221,218,217,217,216,216,215,213,213,212,209,210,210,216,219,220,222,223,224,225,224,225,224,224,222,222,221,222,223,223,220,220,219,218,217,215,216,213,215,212,211,218,221,222,223,225,225,226,226,228,227,225,223,223,222,218,200,203,219,213,213,214,214,211,210,217,191,208,212,218,221,222,223,225,224,225,225,226,222,223,226,224,227,225,205,211,226,211,209,218,211,211,210,199,129,197,217,219,223,222,224,227,229,227,230,234,206,194,203,213,217,209,206,212,215,203,212,229,215,192,166,141,167,214,214,221,223,223,224,228,229,226,227,206,195,204,207,204,209,204,191,157,159,157,160,187,174,167,173,198,219,217,216,222,223,224,226,228,223,231,235,216,220,226,218,202,194,168,162,147,120,120,169,211,211,222,225,223,219,216,217,223,225,226,227,230,219,255,255,244,230,227,218,211,190,144,113,134,119,116,209,232,224,222,220,219,220,218,218,225,225,226,229,232,221,255,255,224,197,175,177,180,172,144,121,132,121,131,223,225,222,222,222,221,222,220,219,226,226,228,229,234,221,248,246,204,162,150,115,121,181,152,127,134,122,142,228,226,224,224,223,222,222,221,221,226,228,230,230,234,217,238,242,197,147,117,93,149,191,154,132,137,121,165,235,225,228,226,225,224,222,221,220,227,229,231,231,237,214,239,245,207,173,128,106,152,148,134,135,132,130,151,235,228,228,227,227,224,222,222,221,228,230,230,231,237,212,238,247,212,176,151,126,92,82,86,101,116,128,128,227,231,228,227,227,226,224,222,222,229,231,231,232,239,207,235,246,212,180,150,142,126,101,93,102,119,123,124,215,234,230,229,228,228,225,224,224,230,231,231,233,240,211,227,242,209,179,151,142,142,124,117,123,128,132,128,214,235,230,231,228,228,227,226,226,229,231,232,233,241,214,225,239,205,176,154,144,144,126,121,127,133,137,138,224,233,230,231,230,230,230,230,227,230,232,233,235,242,220,226,235,202,174,154,143,142,129,125,130,138,136,157,236,232,232,232,232,231,230,230,227,230,233,234,235,241,221,234,232,196,170,153,141,141,138,135,138,148,136,197,241,233,233,232,232,231,230,229,227,231,232,235,236,239,219,241,237,201,173,158,143,140,146,144,148,143,163,235,238,237,235,234,233,232,230,231,229,232,233,235,238,238,217,245,232,209,185,160,143,141,149,148,146,174,227,240,237,237,237,236,235,233,231,230,230,231,232,233,236,233,222,241,221,199,185,160,143,146,147,140,186,240,238,236,237,236,234,233,233,233,232,230,228,230,231,233,238,229,239,240,224,194,175,161,146,145,139,141,218,238,235,236,236,236,233,232,232,231,229,229,228
2,150,151,151,151,151,152,153,152,152,151,152,152,150,151,150,149,148,147,146,144,145,144,142,141,139,138,137,136,151,151,153,153,153,154,154,154,155,154,153,152,152,154,154,153,153,153,152,148,145,145,143,141,140,138,137,136,152,153,154,155,156,156,156,156,155,155,155,155,153,141,141,143,138,133,127,133,150,145,143,142,142,140,139,138,155,155,156,157,157,157,157,157,157,157,157,154,136,124,126,128,124,105,88,77,116,150,149,144,143,142,141,139,156,156,157,157,158,158,158,158,159,158,157,143,132,130,122,117,127,99,78,96,103,105,127,147,145,143,142,141,157,158,159,159,159,160,160,159,160,161,159,151,141,126,108,95,84,55,50,73,84,63,54,134,150,144,143,141,158,159,160,161,161,161,162,162,162,156,147,144,130,93,66,55,65,80,124,119,89,65,92,147,147,146,145,142,158,159,162,162,162,163,163,164,164,152,140,126,94,53,36,45,148,164,160,161,157,150,155,150,148,147,145,143,160,160,162,163,163,165,165,165,164,152,131,87,53,44,37,81,168,156,157,156,155,154,152,151,149,149,147,145,161,163,163,164,164,166,166,166,163,154,124,60,37,37,40,136,165,159,159,158,157,154,153,154,152,149,148,145,162,163,164,165,166,165,167,166,163,152,118,60,39,33,69,170,161,162,160,159,157,157,156,146,140,151,148,146,163,164,166,167,168,167,169,164,159,148,103,48,49,43,77,170,161,163,161,159,158,159,122,90,79,121,154,146,164,165,165,167,169,169,170,164,161,143,93,58,58,42,87,173,162,164,162,160,162,126,91,91,73,107,157,147,165,165,166,168,169,170,170,162,161,142,98,71,56,36,110,177,161,165,162,165,135,91,97,87,72,140,153,149,165,166,168,169,170,171,168,161,160,140,98,74,54,41,76,174,169,162,170,145,81,81,90,68,105,160,150,150,166,169,169,169,171,172,168,161,157,134,103,76,51,50,47,83,142,175,149,98,74,74,73,65,154,155,152,151,167,168,169,170,170,172,167,161,156,134,101,70,51,50,56,54,67,113,82,77,88,71,53,126,162,154,155,152,167,169,170,171,171,172,164,160,166,134,97,75,52,51,56,62,68,62,63,75,72,64,134,165,156,157,155,152,167,169,170,172,172,174,160,167,165,128,94,75,54,51,58,60,68,73,64,70,62,140,168,158,158,158,155,153,167,169,170,172,174,173,159,171,157,120,91,76,55,51,59,62,68,72,66,46,128,172,159,159,159,158,156,153,169,170,171,172,176,171,161,168,149,114,93,79,55,51,62,67,69,70,52,107,171,162,161,160,159,158,156,154,169,170,172,173,175,168,161,164,138,112,96,76,55,52,66,68,71,53,73,175,165,164,162,162,160,158,157,156,170,171,173,175,176,168,158,151,129,108,90,72,53,52,66,64,62,43,143,173,165,165,164,163,160,159,157,156,170,171,173,173,175,167,156,145,127,103,88,70,52,53,64,63,39,114,179,167,167,166,164,163,162,160,157,156,170,171,173,174,174,166,148,138,118,97,83,67,54,55,54,39,104,179,169,169,168,167,164,163,162,161,157,157,170,172,172,174,173,165,144,136,116,95,78,64,52,42,51,124,180,171,171,169,168,167,166,163,161,160,159,157,170,172,173,172,172,161,142,131,117,94,72,57,37,86,169,182,173,173,171,170,169,166,166,164,162,161,159,157,171,172,174,172,164,141,130,128,113,86,61,46,53,171,182,173,174,172,172,171,170,169,168,165,162,162,159,157
4,196,198,198,199,200,198,198,198,199,197,196,197,197,194,191,193,196,195,190,189,188,187,187,186,184,183,181,180,199,200,201,202,202,203,201,201,201,198,196,199,196,201,204,191,175,178,194,191,190,190,188,188,187,185,183,183,202,203,204,205,205,206,205,201,200,206,217,214,189,163,206,238,198,137,124,206,197,194,188,189,189,187,186,185,206,207,208,207,207,208,204,208,212,168,206,228,194,122,90,196,194,127,67,131,167,174,198,193,190,187,189,187,207,207,208,209,210,202,224,241,198,134,89,196,170,107,57,137,159,96,68,50,110,103,124,199,190,189,189,189,209,209,208,211,210,209,255,249,181,134,64,172,159,104,48,108,142,98,61,62,104,80,55,189,196,192,190,190,211,211,209,213,209,223,251,242,195,210,94,123,199,169,46,81,175,145,68,82,116,78,55,184,199,195,193,191,211,212,212,214,212,222,255,215,225,245,125,88,234,177,50,60,197,153,64,89,171,120,74,188,201,196,194,193,212,214,214,216,215,215,255,231,214,178,98,69,161,130,65,59,116,126,29,85,215,139,99,201,200,198,195,195,215,216,215,217,214,222,255,255,228,183,137,110,74,69,75,100,163,173,83,74,154,108,137,211,200,198,197,196,217,217,218,222,212,243,255,246,207,186,161,145,124,142,151,174,220,164,113,82,78,49,178,211,204,200,199,198,219,220,219,223,213,255,255,216,175,144,158,237,194,202,224,183,196,148,137,98,80,70,192,209,205,203,203,200,219,222,222,224,218,255,255,220,187,152,149,228,196,200,212,198,176,171,166,116,65,58,188,211,202,204,203,200,221,225,225,223,227,255,255,227,191,159,128,150,161,156,176,152,145,206,194,136,79,50,181,216,205,206,204,203,225,226,227,221,238,255,255,229,187,139,123,109,87,92,147,101,124,220,211,148,98,54,168,221,207,207,206,205,227,228,229,222,249,255,255,229,173,137,139,130,103,134,223,215,165,218,227,147,112,55,154,224,207,207,206,204,228,229,231,223,255,255,255,225,170,146,155,133,110,228,255,237,218,188,212,157,124,69,131,227,208,210,208,206,230,230,233,225,255,255,248,195,169,168,157,116,186,255,255,239,207,196,165,144,119,76,144,227,210,212,209,207,233,232,234,227,255,255,233,192,205,169,134,137,255,255,255,233,194,174,150,116,103,68,191,220,213,212,209,209,234,235,232,241,255,255,228,213,210,162,118,201,255,255,242,216,187,157,137,108,78,84,221,214,216,213,210,209,234,233,247,178,255,255,228,216,217,151,164,238,255,244,222,203,179,147,118,97,48,155,229,216,216,214,212,211,235,245,220,67,111,247,239,221,208,137,180,236,255,225,210,194,162,128,105,72,79,223,219,218,219,217,214,213,242,237,102,73,62,90,195,216,175,130,155,228,230,206,189,173,143,112,89,49,178,233,221,223,222,219,217,215,254,141,63,75,76,59,72,128,132,108,138,187,204,183,166,148,122,96,51,113,238,222,224,223,223,221,218,216,173,77,84,66,60,69,62,54,60,92,125,150,173,155,140,115,97,58,67,225,231,226,226,224,223,222,218,216,80,79,79,62,60,60,58,67,41,47,85,110,132,111,92,83,61,49,196,239,228,230,230,227,225,223,221,219,83,77,63,61,56,58,54,59,57,5,24,40,58,59,42,36,44,185,245,228,232,231,231,228,225,224,222,221,76,68,60,60,53,53,49,50,65,24,0,17,16,17,20,0,111,255,230,234,233,232,232,230,227,224,224,221
21,159,164,169,169,172,175,179,181,183,186,186,188,189,190,192,192,191,195,193,192,192,190,190,189,188,188,187,187,159,165,169,171,173,176,179,182,184,186,187,188,190,192,193,194,195,172,188,194,192,192,192,191,191,189,188,187,160,166,170,171,174,177,181,183,186,189,189,190,192,194,193,199,208,132,154,200,191,193,193,192,190,189,190,190,160,166,170,171,174,179,182,184,186,189,190,191,193,195,194,203,206,134,155,203,195,194,194,193,192,192,191,191,162,168,171,171,176,179,183,186,186,188,190,192,194,195,194,206,201,139,156,204,195,196,196,184,154,185,194,191,163,168,171,173,178,181,183,187,187,189,192,194,194,195,195,210,201,140,158,206,197,198,195,171,125,175,198,192,163,169,172,174,177,181,184,188,189,192,194,195,196,198,196,210,201,146,159,206,198,197,192,165,130,191,196,195,163,169,173,174,177,181,185,188,191,193,195,196,197,200,197,210,199,148,154,207,198,197,188,155,141,201,195,196,163,170,174,175,179,182,186,189,192,194,195,197,199,200,197,212,199,151,145,208,199,196,187,144,164,204,196,197,164,170,173,175,180,184,188,191,193,195,196,198,199,201,197,220,206,148,149,209,197,191,179,133,184,202,198,197,165,172,175,177,181,185,187,190,193,195,196,198,199,201,200,222,198,142,158,210,192,191,161,136,200,199,198,198,166,173,177,177,182,186,187,191,193,195,196,199,201,193,201,215,178,132,157,209,194,193,140,158,208,199,200,200,166,173,177,177,182,186,188,191,194,197,197,207,189,159,166,184,149,121,158,206,200,181,129,186,207,201,201,201,167,174,177,178,182,186,189,193,196,198,198,206,187,154,142,125,123,127,167,194,192,156,136,206,204,202,202,202,167,174,177,178,184,187,190,194,196,197,203,204,197,190,173,142,110,133,160,172,170,131,161,213,203,205,204,203,167,175,177,179,184,187,191,195,198,197,209,221,209,227,198,160,118,118,133,144,147,123,187,211,205,206,205,204,169,176,178,179,185,188,192,195,197,201,203,195,207,214,187,143,123,116,122,131,131,131,206,208,206,206,206,205,170,175,178,179,184,188,193,196,197,209,195,165,202,172,178,155,132,123,115,122,119,144,213,208,207,207,206,206,169,175,177,180,184,189,193,197,197,209,214,184,159,123,170,177,144,125,121,117,114,147,215,209,208,207,206,206,169,176,178,180,186,190,193,197,197,211,202,162,144,131,148,188,158,137,125,122,113,140,216,210,210,209,207,207,170,176,177,181,186,190,194,198,197,218,200,176,180,154,176,211,167,158,135,123,117,143,215,211,210,209,208,208,171,176,177,181,186,190,194,198,199,224,205,194,173,166,230,217,172,164,141,127,120,148,217,211,211,211,210,208,171,176,178,182,187,191,195,199,200,221,221,198,165,200,234,201,167,156,145,132,123,153,217,212,213,212,212,210,171,175,178,181,185,190,194,198,199,223,226,187,176,205,225,194,173,150,145,136,123,167,219,211,212,212,211,210,170,174,177,180,184,190,194,196,196,219,207,182,186,198,224,194,184,159,134,134,122,176,218,211,212,211,210,209,170,174,176,179,185,190,194,196,197,212,194,198,193,189,224,193,175,161,137,134,126,184,218,211,212,211,210,210,169,175,176,179,185,191,195,198,200,205,199,220,192,195,215,184,161,147,137,132,128,194,218,212,212,211,212,211,169,175,176,180,185,190,195,198,200,202,206,211,184,179,202,175,150,137,133,128,128,201,216,212,213,212,211,211
2,92,101,114,135,143,151,158,163,164,168,172,176,179,182,184,186,188,190,190,193,193,193,194,195,194,195,195,194,94,103,117,136,145,153,159,164,166,169,172,176,181,185,185,188,191,191,191,194,196,196,197,196,196,198,197,197,95,104,120,138,147,154,162,165,167,172,172,179,178,169,183,187,188,192,195,199,197,198,198,199,199,199,198,198,96,105,123,140,149,156,164,166,168,173,180,216,203,182,179,171,173,189,183,183,198,200,200,201,200,200,200,201,99,107,127,141,150,156,162,168,175,163,195,217,211,222,220,195,164,151,165,143,146,199,204,200,201,201,201,201,100,108,129,142,152,159,158,208,214,201,203,192,175,172,189,214,189,137,107,145,180,161,192,205,202,203,202,203,99,109,130,143,154,154,183,235,206,211,220,219,204,165,125,132,189,168,117,114,166,116,161,212,202,204,205,204,101,112,132,144,155,155,217,189,166,177,186,177,189,199,161,154,143,170,180,156,106,136,197,204,203,205,205,205,103,114,134,146,151,169,203,198,199,189,170,154,183,178,184,191,146,108,164,159,109,195,208,204,204,207,207,206,104,114,137,147,158,212,213,216,206,198,192,186,191,133,107,134,111,131,136,122,148,207,205,205,204,208,208,206,105,117,140,142,207,219,188,175,153,128,135,138,122,105,88,98,175,206,200,194,208,206,207,209,207,208,209,208,104,120,136,162,234,181,136,113,90,85,87,87,97,95,87,106,208,202,206,210,207,211,212,205,205,213,209,209,105,123,131,206,211,153,117,86,75,88,85,84,94,93,82,98,204,205,205,207,214,189,155,144,139,174,213,208,109,118,164,237,169,125,98,85,83,83,83,90,89,83,77,82,199,208,207,214,167,127,138,147,148,120,198,214,112,115,208,220,150,121,106,96,82,80,85,88,84,82,89,72,170,217,214,175,128,155,166,165,142,124,206,214,111,119,214,197,144,120,105,87,75,79,84,89,88,89,90,84,107,215,206,128,156,169,162,139,143,196,217,213,110,125,214,190,145,115,91,78,77,78,86,95,96,96,101,107,95,108,153,138,162,159,124,156,217,218,214,215,111,129,217,187,140,105,87,83,78,81,93,98,104,110,118,125,123,83,124,158,148,120,112,213,219,215,217,216,110,133,219,186,150,118,98,86,77,83,95,108,120,126,133,135,137,110,139,152,133,98,158,227,215,218,218,217,110,140,214,177,151,120,104,94,81,83,96,120,135,137,142,146,148,124,133,152,126,108,203,223,219,219,219,218,112,139,209,174,151,125,112,104,87,85,102,133,144,149,153,158,151,134,120,152,114,118,224,220,220,220,221,221,115,137,201,173,151,134,121,107,89,84,108,140,150,154,155,158,147,129,120,116,114,187,227,221,224,224,223,222,116,135,192,170,153,139,122,106,93,87,112,139,144,149,147,147,138,122,105,145,210,228,223,225,225,225,225,224,118,130,185,174,152,138,119,104,95,96,118,133,135,134,136,136,126,100,151,231,224,221,225,224,224,225,225,224,119,128,183,180,153,135,116,108,103,103,126,128,130,129,130,122,102,138,218,219,218,220,223,224,224,225,225,224,118,130,196,180,151,133,123,118,111,106,123,121,121,118,104,116,165,219,220,220,221,223,224,224,225,226,223,222,113,175,196,187,156,137,130,121,112,101,102,103,102,106,157,202,222,217,219,221,222,223,224,224,226,222,226,233,137,209,154,180,162,134,121,112,103,95,93,94,83,118,220,214,214,218,219,220,222,223,224,225,224,227,226,230
22,177,178,179,180,180,181,181,182,182,182,183,183,183,182,183,182,182,182,183,182,180,180,179,177,149,79,39,33,178,179,181,182,182,183,184,184,184,185,185,185,185,185,185,185,185,185,185,184,182,182,181,179,153,81,44,44,180,182,183,184,185,186,186,186,187,187,188,188,187,187,187,187,188,188,187,187,186,185,184,182,169,106,54,52,182,184,185,186,186,187,188,189,189,189,190,190,189,187,188,190,190,190,187,186,188,187,186,185,179,135,65,50,184,186,187,188,189,190,191,191,192,192,192,193,193,177,178,192,192,193,182,169,186,190,189,187,185,159,81,44,186,188,189,190,191,192,193,193,194,194,193,194,198,169,163,193,195,196,178,147,181,192,191,190,185,155,92,45,188,189,191,192,193,194,194,195,195,195,195,197,201,168,155,193,197,195,172,140,178,193,193,193,186,140,111,89,189,191,193,194,194,195,196,196,197,197,198,199,207,178,152,191,198,195,174,142,178,195,195,196,180,135,136,145,190,193,194,196,197,196,197,198,199,199,199,200,212,193,154,188,200,197,178,148,181,197,197,199,172,136,150,169,192,193,195,197,198,198,199,200,200,200,200,201,212,206,158,185,201,196,176,151,184,199,201,204,167,144,170,174,193,194,196,197,198,199,200,200,201,201,201,202,212,214,163,174,200,196,176,151,184,201,205,201,158,154,184,165,194,195,197,198,200,200,201,200,201,202,202,202,211,221,178,161,195,197,183,155,184,203,208,191,145,162,192,174,195,196,198,199,201,201,202,202,203,204,204,204,209,221,190,154,181,188,182,159,187,206,208,179,139,174,198,191,196,198,199,200,201,202,202,204,204,204,205,206,208,217,193,160,160,155,170,168,193,207,201,164,146,188,200,198,197,198,199,200,201,201,202,204,205,205,206,207,212,221,204,180,164,129,142,163,181,186,178,147,162,198,201,200,196,196,198,200,201,201,202,203,203,204,205,207,216,213,209,186,175,151,134,133,143,151,144,136,181,202,201,200,195,196,198,200,201,202,203,203,203,204,205,209,214,196,196,178,160,174,163,129,113,122,120,135,192,202,201,200,196,197,199,201,201,202,203,203,204,206,207,215,217,195,182,167,129,153,173,154,120,104,104,139,195,202,200,199,196,198,200,201,201,202,203,204,205,207,208,217,214,182,159,157,114,110,157,177,154,114,98,147,199,203,201,200,194,196,199,200,200,201,203,203,205,207,207,216,214,179,151,143,119,103,149,193,188,148,111,154,201,204,202,201,162,165,168,171,173,176,179,181,184,187,189,207,220,188,152,133,136,150,184,201,202,173,132,144,193,201,200,199,110,111,113,115,116,117,119,121,123,126,131,179,223,204,156,137,158,195,215,211,201,176,140,123,151,162,167,175,101,101,102,102,102,102,102,103,103,104,109,166,225,216,162,144,162,206,224,216,195,166,127,110,125,143,164,181,102,101,101,102,103,103,103,104,104,105,110,162,221,218,168,154,162,207,227,214,189,156,119,137,179,193,203,211,101,101,100,101,102,102,103,104,105,105,108,148,214,219,179,166,162,203,225,205,178,143,114,155,197,203,205,211,100,100,100,100,101,102,102,104,104,104,105,131,202,218,189,170,160,191,213,187,158,126,111,153,178,190,197,202,99,100,100,101,102,101,102,103,104,103,104,119,187,213,190,164,151,171,194,168,136,109,114,160,155,162,182,195,99,100,101,102,104,102,101,103,104,104,104,115,178,202,179,154,138,148,173,151,120,101,122,170,149,148,173,191
1,109,118,101,83,84,74,89,34,71,101,116,126,169,135,116,154,154,161,162,165,169,172,174,176,177,179,182,182,112,122,99,87,82,81,88,35,78,104,122,130,171,149,102,154,122,151,167,167,170,173,175,179,179,181,182,183,115,124,95,91,79,89,81,37,85,101,158,140,141,170,112,167,120,119,172,167,172,173,177,179,180,181,183,185,118,124,93,95,80,95,72,40,90,103,170,149,128,173,117,168,149,105,168,171,173,175,178,180,181,183,185,186,122,121,92,98,78,101,63,46,96,106,172,156,127,190,142,153,162,104,159,176,174,177,179,181,183,185,188,187,126,121,94,101,80,106,53,54,97,106,171,163,129,199,151,148,185,118,144,180,176,179,182,184,186,189,189,190,129,118,98,105,82,110,47,57,129,130,163,185,133,189,154,152,198,135,126,182,178,181,183,187,189,191,190,191,133,117,103,103,86,111,42,65,168,137,155,188,132,177,160,142,192,148,117,180,180,182,185,189,190,192,192,193,135,115,106,101,91,108,37,75,171,132,151,188,128,175,175,135,189,158,115,179,183,184,188,191,192,194,195,195,135,112,110,99,98,104,37,80,176,136,145,196,127,169,188,132,193,168,117,174,185,187,190,192,194,196,196,196,137,111,115,96,106,95,38,83,182,157,141,200,138,145,189,125,181,172,111,167,190,189,190,193,195,197,197,197,133,112,119,95,114,85,43,86,177,161,124,199,144,115,180,116,162,183,112,158,194,188,192,196,197,198,198,198,132,113,120,91,121,74,48,89,165,168,117,181,155,146,167,160,176,157,108,140,196,189,193,196,198,200,200,199,131,114,120,91,126,63,54,91,162,186,118,160,179,156,139,173,174,120,94,124,197,192,195,197,199,200,201,203,128,117,120,90,128,54,61,93,163,174,140,171,171,169,161,198,188,128,88,104,190,194,196,199,200,200,203,204,126,120,119,91,129,46,67,94,165,179,178,160,159,165,173,188,181,155,106,83,179,198,196,199,200,202,202,204,126,123,117,97,129,39,73,96,179,197,170,147,146,152,158,155,177,181,140,85,160,203,196,199,200,202,203,205,122,128,115,104,125,35,76,98,188,191,156,137,146,155,171,186,191,198,173,109,132,203,196,200,201,203,204,204,122,132,112,111,118,34,81,98,175,190,149,132,154,156,179,211,196,199,185,132,114,200,197,200,201,203,204,204,124,134,107,117,108,34,87,98,156,196,159,141,146,164,183,211,206,188,172,127,111,199,198,201,202,204,205,206,125,135,102,125,99,35,89,102,133,192,167,147,143,170,185,212,208,186,161,114,118,203,197,200,203,205,205,206,125,137,101,132,89,37,90,106,118,180,182,157,141,163,184,208,204,181,156,109,121,204,197,200,203,205,205,206,129,140,99,141,80,41,92,106,114,162,190,166,153,151,178,203,194,172,155,106,121,204,198,202,204,204,205,206,133,142,98,149,71,45,93,105,115,137,182,174,167,152,169,196,185,164,147,102,127,204,197,203,204,204,205,206,138,143,101,153,61,49,92,102,115,124,158,180,172,164,159,176,180,157,142,98,144,202,195,200,201,202,203,203,142,139,102,155,51,53,89,100,113,124,136,175,175,167,150,154,167,144,133,102,169,198,195,197,198,199,202,202,145,134,107,154,42,56,88,98,110,125,127,167,176,160,145,145,145,140,131,102,180,193,193,197,199,200,202,202,148,131,112,148,40,61,84,91,102,117,120,157,171,149,147,152,146,139,123,98,181,190,190,193,196,198,199,198
8,126,131,137,141,144,148,151,154,157,158,159,160,162,163,163,163,163,164,164,164,164,164,163,162,161,161,160,160,128,134,140,145,148,158,153,151,160,162,162,163,164,165,165,165,165,166,165,165,165,165,164,163,162,161,160,160,132,138,145,149,154,172,150,136,162,167,168,168,169,169,169,169,169,169,169,168,168,168,167,166,165,163,162,161,136,142,149,153,161,184,147,126,165,173,174,174,175,175,174,174,174,174,174,173,172,172,171,170,169,167,165,164,139,146,152,158,168,192,147,126,169,179,180,180,181,180,180,180,180,180,178,176,176,176,175,175,173,171,169,167,143,150,156,162,172,194,148,129,174,184,185,185,184,185,188,177,172,185,181,162,170,180,181,180,178,176,174,173,148,154,161,166,177,198,155,132,176,189,192,191,173,179,199,172,143,171,186,149,145,177,186,185,183,181,179,177,152,158,165,170,182,203,165,140,177,194,208,213,180,173,194,177,150,163,172,146,129,162,190,190,189,186,184,182,156,163,169,175,185,208,183,160,179,202,222,228,213,191,179,175,179,185,155,119,111,144,190,194,193,191,189,187,160,166,174,179,187,208,194,181,193,210,213,214,219,189,175,177,182,180,154,112,90,128,190,198,196,195,193,191,163,170,177,183,189,208,204,193,205,212,197,182,207,190,167,163,157,159,161,125,90,135,196,201,200,198,197,196,166,172,180,186,191,212,212,191,200,203,191,168,183,188,145,118,118,159,175,141,108,155,202,205,203,201,200,199,170,176,183,188,194,215,217,176,179,184,170,160,167,182,141,94,97,176,195,159,120,151,203,208,207,205,203,202,173,179,186,191,197,216,221,175,152,165,152,147,159,177,158,116,115,183,209,175,126,124,191,211,210,208,206,204,175,181,188,193,199,217,228,190,143,144,152,147,169,186,172,146,177,209,209,177,130,109,173,214,214,211,209,208,178,184,190,195,201,218,235,204,154,135,152,153,189,208,193,190,218,216,191,158,124,111,174,217,217,215,213,211,180,186,192,199,204,220,238,216,173,139,143,157,193,221,223,229,225,202,173,139,113,123,194,221,220,217,211,203,182,188,195,201,207,222,241,226,190,153,143,158,189,226,235,235,218,187,156,125,104,147,211,217,208,188,156,128,183,190,197,203,208,222,241,232,202,171,155,160,184,223,236,229,205,173,142,113,103,160,180,154,127,98,73,62,185,191,198,204,209,221,238,234,212,185,171,163,177,212,232,220,191,158,130,103,89,101,87,69,62,60,57,53,186,193,200,205,210,217,231,234,220,197,186,167,168,198,220,211,180,147,121,93,68,54,49,49,48,55,58,53,187,194,200,206,211,215,224,233,224,204,192,171,161,186,204,200,169,136,112,84,57,43,42,49,44,47,56,57,187,194,200,206,212,215,218,228,223,208,191,167,149,172,186,183,155,124,100,67,50,43,35,44,48,43,46,53,187,194,200,206,211,215,214,224,225,209,188,163,141,154,172,164,141,114,86,46,37,46,37,37,47,45,40,44,188,194,200,206,211,215,214,224,230,213,188,162,140,140,158,151,129,104,73,34,24,41,44,35,40,46,41,39,189,195,201,206,211,215,214,223,226,205,181,161,140,134,143,140,119,89,62,39,19,30,45,40,34,43,44,39,189,195,201,206,211,215,206,221,220,192,180,166,144,131,133,133,111,71,48,45,21,20,39,45,36,37,42,41,185,191,198,204,210,210,184,215,221,195,190,174,148,129,128,128,103,54,36,46,27,14,31,45,41,35,38,42
24,103,108,112,115,117,119,121,123,125,126,128,131,131,132,133,136,137,138,141,141,142,142,143,143,142,144,144,145,104,108,111,113,117,119,122,124,126,128,128,131,133,134,136,137,138,139,141,141,142,144,144,143,145,146,146,147,105,109,111,115,118,120,122,125,127,130,130,133,135,136,137,139,139,140,142,142,144,144,145,145,146,147,147,147,105,110,112,116,118,120,123,126,127,130,131,134,136,137,138,141,140,140,143,144,146,146,147,148,148,148,147,147,105,111,113,117,118,121,124,126,128,131,133,135,137,138,139,141,142,141,143,146,147,148,147,148,148,147,147,147,106,110,114,118,122,123,125,127,130,132,133,135,138,138,139,140,144,146,145,146,147,148,148,148,148,148,149,148,108,109,123,115,97,126,124,128,131,133,134,136,136,136,144,143,140,133,148,147,148,148,148,148,149,150,149,150,108,107,131,131,78,117,128,128,131,133,136,138,138,119,100,143,141,101,101,151,147,148,148,149,150,150,149,150,109,110,117,135,91,87,132,128,131,135,111,132,156,127,81,118,150,114,63,105,156,148,150,151,151,151,152,150,109,113,114,130,123,85,119,130,140,149,117,105,156,132,94,107,153,119,73,57,152,150,151,153,151,152,141,121,108,112,117,122,149,119,87,126,153,164,130,97,146,141,95,90,151,113,71,39,135,155,150,150,153,146,112,82,109,113,117,117,138,135,93,103,142,172,145,104,114,153,105,72,135,99,63,29,120,158,149,152,145,131,97,67,108,114,117,119,122,137,143,124,123,155,153,109,81,132,112,63,103,89,63,31,80,161,152,137,128,117,74,89,109,115,118,120,120,135,148,140,143,151,139,104,64,101,108,61,74,106,73,37,43,132,134,121,118,89,57,133,110,114,117,120,124,124,143,145,139,147,137,103,82,76,122,80,72,139,80,44,87,100,120,122,92,52,111,160,110,115,117,120,125,123,138,157,134,116,116,115,114,73,127,112,51,121,86,111,135,119,112,99,64,86,160,153,110,114,119,121,124,125,134,154,118,108,106,115,113,87,109,101,56,113,147,146,129,112,92,77,67,152,155,154,110,115,120,122,124,126,132,163,138,118,102,103,110,125,108,101,135,154,145,136,124,106,86,60,114,162,153,155,111,115,119,121,124,130,128,166,158,131,106,97,123,138,147,160,162,149,141,131,117,97,67,72,159,156,156,156,111,116,119,122,125,130,128,164,169,139,126,107,113,135,154,171,158,148,144,130,103,80,53,117,162,154,156,156,111,116,119,122,126,128,126,156,174,147,140,127,114,136,152,166,157,151,143,123,100,65,73,158,154,155,156,156,112,117,120,122,125,127,129,140,171,158,145,138,124,133,150,160,156,147,134,119,102,56,128,162,155,156,156,156,111,116,120,123,124,127,131,132,152,163,152,136,125,132,148,155,149,136,120,110,75,90,162,154,157,157,157,156,111,115,119,122,124,128,133,133,143,165,149,135,125,134,140,143,137,125,107,86,64,147,158,155,157,157,158,159,110,115,118,120,123,127,130,131,139,153,136,133,127,130,135,138,133,121,101,63,102,165,153,155,156,156,156,158,108,113,117,119,122,125,128,130,138,142,133,142,139,139,140,136,126,114,92,59,136,158,153,154,155,154,155,155,107,112,116,118,120,125,128,128,137,156,149,155,146,144,137,130,121,108,79,65,150,153,152,153,154,154,156,155,107,111,116,118,119,125,127,127,138,170,154,153,147,142,130,125,121,100,68,76,158,151,153,153,153,154,155,155
17,109,110,112,113,115,117,119,119,120,121,122,124,124,124,125,126,127,128,130,129,129,130,131,130,131,131,130,131,108,110,112,113,115,118,119,120,120,122,123,124,124,124,126,127,129,130,131,133,131,134,132,131,132,131,131,132,109,111,113,115,118,119,119,120,121,123,123,126,127,127,127,128,129,131,124,119,129,108,127,133,133,132,133,133,110,112,113,116,119,119,121,122,122,124,124,126,126,128,128,130,129,133,128,89,84,70,98,140,133,133,133,133,111,113,115,117,119,121,122,123,124,125,127,128,128,128,131,132,130,134,146,108,61,52,101,141,133,135,134,133,112,113,115,118,120,121,124,123,125,127,127,127,129,129,130,132,132,132,149,117,75,40,114,140,133,135,135,135,112,114,116,118,119,122,123,124,125,126,127,129,129,132,133,132,135,132,150,130,90,49,128,138,136,136,135,135,112,115,117,118,120,121,124,125,127,127,127,129,132,116,120,139,133,133,153,131,94,72,140,137,138,136,137,136,113,117,118,119,120,123,125,126,127,129,128,128,134,119,82,111,140,139,153,126,93,81,142,137,138,137,137,137,113,116,118,120,121,123,124,126,126,126,126,129,140,125,105,87,113,134,151,126,90,77,141,138,138,138,138,137,114,117,119,119,121,124,126,124,131,135,108,90,128,141,138,134,96,69,118,123,96,79,140,139,140,139,138,137,115,117,118,121,124,125,127,125,143,145,105,80,120,126,148,144,122,70,70,103,89,76,139,139,139,139,139,138,114,117,119,122,124,125,125,132,135,119,130,102,107,86,107,156,139,96,55,78,77,70,138,140,140,139,138,139,116,118,120,122,123,125,125,135,144,101,98,90,60,48,53,158,151,116,63,59,64,63,138,141,141,140,139,139,116,118,120,122,124,126,125,141,131,94,81,92,66,65,63,144,161,129,79,55,62,59,134,143,140,141,141,141,117,119,121,124,125,127,125,143,138,121,107,98,79,96,85,128,169,130,94,57,61,58,127,145,140,142,141,141,118,119,122,124,125,126,128,150,130,107,102,94,89,110,112,145,151,132,104,62,54,56,129,144,141,142,142,142,117,119,122,124,126,126,134,147,115,100,96,94,104,107,156,165,131,121,103,61,50,50,131,146,142,142,142,142,117,119,121,124,128,125,141,150,120,108,96,99,104,134,172,158,132,112,96,62,46,51,135,145,144,143,142,142,118,119,122,125,128,125,146,153,125,113,96,101,111,161,159,150,129,107,90,59,46,62,146,142,143,143,142,142,118,120,124,125,128,124,151,151,128,121,102,103,132,171,154,147,122,97,85,58,42,89,151,141,142,143,143,143,118,120,124,127,129,123,158,150,132,127,116,104,144,167,147,144,124,89,77,56,46,126,146,142,144,143,142,142,118,121,125,127,130,125,160,156,136,136,127,110,143,158,141,137,123,89,71,48,69,149,142,144,144,143,143,143,119,122,125,127,129,125,154,161,140,140,130,120,130,154,137,136,115,87,66,44,109,150,142,143,143,143,143,143,118,122,126,127,129,126,146,164,144,135,126,128,126,145,132,139,120,81,63,47,129,148,143,144,144,143,143,143,119,123,125,126,130,128,140,162,141,133,122,125,129,135,127,141,122,81,60,54,141,146,145,145,145,144,144,144,120,123,124,126,129,128,142,157,139,132,122,122,128,134,124,140,113,81,57,80,151,144,145,145,145,145,144,144,118,121,124,126,131,128,145,158,148,134,126,128,132,133,120,136,100,74,53,116,150,144,145,145,145,144,144,144
12,121,134,145,152,155,162,169,176,179,182,185,190,194,197,200,203,205,206,209,211,212,213,213,214,216,217,218,218,124,137,148,153,157,165,172,178,181,184,188,191,195,200,203,205,207,214,215,212,213,216,217,217,219,220,219,220,126,139,152,154,158,167,175,180,183,186,191,194,198,202,203,207,208,191,201,220,215,217,220,225,219,221,222,221,128,142,153,156,160,168,176,182,184,189,193,197,201,206,210,215,220,155,123,192,227,190,149,194,228,220,223,223,130,143,154,158,162,171,177,183,187,191,195,199,204,193,171,225,226,166,126,120,174,182,130,113,210,228,224,225,131,145,156,159,164,173,180,184,190,193,196,198,225,184,126,135,217,191,151,114,116,183,155,107,159,239,224,226,134,147,158,161,167,175,181,186,191,197,196,212,235,185,148,109,187,219,164,135,108,171,171,125,137,239,227,229,136,149,159,163,169,176,183,188,193,197,200,226,221,211,172,142,152,230,186,140,101,143,171,133,124,236,230,231,138,152,161,164,170,179,184,190,196,196,212,214,190,230,198,159,120,200,208,144,102,110,153,130,110,231,233,233,140,154,162,166,172,181,186,191,194,196,237,180,171,225,210,158,119,154,210,142,105,92,140,118,103,230,235,235,142,155,164,168,174,182,188,191,180,174,200,173,158,196,206,168,128,113,185,137,105,89,125,113,107,233,236,236,143,156,164,167,174,180,198,213,201,196,193,165,118,103,190,166,116,86,156,142,107,87,118,115,114,238,237,237,145,157,165,168,176,180,208,234,225,228,217,141,106,60,143,140,101,74,123,159,139,93,131,131,129,247,236,238,147,160,166,170,178,179,216,230,193,194,179,118,106,67,95,126,111,63,92,192,160,104,135,149,100,214,245,238,148,161,167,171,179,182,211,213,177,153,173,140,113,77,64,126,119,77,118,186,167,111,113,139,82,170,252,238,150,162,167,172,179,185,203,189,159,123,152,170,109,89,62,98,100,119,181,178,159,109,97,110,93,192,250,239,150,161,168,171,180,184,201,209,180,146,125,170,114,98,78,84,121,173,192,182,163,138,116,104,119,236,245,248,151,162,166,170,178,184,206,210,180,153,128,148,123,98,83,94,161,189,191,190,179,151,125,92,175,255,238,219,152,163,167,170,180,185,207,207,192,180,136,120,138,123,104,112,195,197,196,202,174,142,116,109,232,216,204,167,153,162,168,172,181,187,205,206,201,187,131,131,161,144,115,131,207,205,210,194,152,133,107,139,227,137,143,200,152,163,168,173,181,188,200,200,195,192,132,146,160,137,141,186,214,213,205,171,136,122,106,135,136,152,125,141,152,162,167,172,180,188,195,190,195,186,143,153,162,141,176,197,215,206,186,151,122,109,123,178,134,166,135,127,153,162,166,172,181,190,197,196,201,181,149,156,162,140,176,183,203,195,172,135,115,97,155,211,147,117,170,213,130,135,138,141,145,150,152,172,195,179,158,162,158,142,169,186,184,177,147,118,101,128,139,144,146,135,178,167,126,127,127,128,130,129,123,137,197,181,164,160,153,147,154,177,170,142,120,105,104,141,205,169,161,168,138,161,130,129,132,134,134,136,138,134,193,200,174,157,154,152,151,165,155,123,106,107,181,200,247,224,225,188,164,211,130,131,131,132,134,134,136,132,179,188,171,153,146,141,143,152,138,116,92,136,245,217,192,195,202,173,141,152,130,132,133,135,136,135,137,134,182,185,138,127,126,127,136,136,118,105,87,127,239,201,200,216,240,208,159,134
1,156,158,158,158,159,158,158,159,158,155,156,156,154,152,150,146,146,149,145,144,144,141,138,135,144,64,0,0,157,159,161,160,162,161,160,160,159,158,157,157,156,152,153,158,145,117,145,147,144,144,142,137,146,29,0,0,160,161,163,163,164,164,163,162,162,162,159,157,156,157,138,126,154,65,110,157,149,144,144,140,147,9,0,0,162,164,164,165,167,166,165,164,164,164,161,160,158,162,134,41,105,74,61,112,117,152,144,140,146,43,0,0,164,165,167,167,167,168,165,166,167,165,161,157,151,174,130,35,64,67,58,109,48,145,147,142,154,42,0,0,166,167,168,169,170,170,167,166,166,165,166,153,85,106,118,24,88,87,57,119,32,125,154,142,154,54,0,0,167,169,171,172,172,172,171,169,168,165,173,142,54,51,126,27,89,106,34,99,27,115,157,144,153,103,31,48,168,171,172,173,172,172,173,172,172,169,175,133,44,58,115,28,56,80,36,124,38,102,160,147,151,115,123,129,170,173,174,175,175,175,175,174,172,170,184,140,57,46,84,19,55,56,40,132,49,80,164,149,152,116,111,75,172,174,176,176,176,176,176,175,175,173,190,122,52,52,85,23,84,71,35,110,41,77,167,150,153,132,110,51,174,175,178,179,178,178,178,177,176,175,186,120,49,71,107,31,68,73,30,104,40,83,168,153,154,145,123,103,175,176,180,181,180,180,181,180,177,180,192,128,81,42,74,9,38,36,56,122,54,84,169,153,154,152,130,119,176,179,180,180,180,181,180,180,177,185,178,118,59,16,17,1,32,0,55,112,51,74,171,154,155,154,147,114,178,181,183,183,183,182,182,181,180,187,170,118,91,84,62,56,31,34,67,78,23,90,174,156,156,154,155,139,181,182,182,183,184,183,183,184,178,199,184,139,129,94,154,91,89,82,111,73,5,136,169,161,158,156,155,155,182,183,184,185,187,186,186,186,181,213,171,132,98,54,120,122,124,107,98,71,34,156,166,161,160,157,156,153,182,184,186,188,188,188,188,187,189,211,158,100,69,40,16,86,118,91,106,98,38,113,176,161,160,157,156,153,184,185,187,190,189,190,191,187,194,217,167,120,86,37,18,11,50,68,140,130,57,62,179,161,162,159,157,154,186,188,188,190,192,191,192,188,199,211,165,138,80,51,43,12,115,100,109,156,89,23,148,170,162,162,160,156,188,190,191,192,192,193,193,190,201,203,165,141,64,60,28,77,169,145,109,124,102,15,87,180,160,163,159,156,189,191,193,193,193,193,194,191,199,199,174,142,58,65,39,143,172,147,120,85,73,30,57,180,163,164,160,157,190,193,192,195,196,194,196,193,198,198,176,122,71,49,73,176,169,142,101,85,46,10,99,180,163,165,162,157,191,193,194,196,196,197,198,194,200,194,168,116,94,34,102,179,155,127,89,71,43,6,157,174,166,164,161,161,191,193,195,197,196,196,195,193,193,186,160,126,104,37,123,173,138,112,86,61,12,52,186,169,169,165,163,164,189,191,193,193,192,193,192,191,187,179,155,136,111,50,126,156,120,102,80,43,0,137,180,167,166,162,163,161,190,192,194,196,195,199,203,191,185,183,153,143,108,47,113,133,102,85,63,0,56,186,170,169,168,173,176,103,193,195,195,195,202,185,162,199,176,166,157,144,73,41,85,102,77,59,12,17,170,176,176,178,164,140,81,5,192,194,195,194,212,117,6,75,126,131,125,90,34,41,60,73,48,20,0,137,188,176,156,86,27,0,0,0
13,109,117,123,125,128,133,139,142,146,148,149,152,155,158,159,160,164,164,165,166,166,167,168,166,166,167,168,168,109,118,125,127,130,135,140,143,146,148,150,153,156,158,161,162,164,165,166,167,168,167,168,169,169,168,169,170,112,121,127,128,132,137,143,146,148,151,152,155,158,159,162,164,166,164,165,166,168,173,171,170,170,171,170,171,114,123,128,130,133,138,143,147,150,152,154,157,159,161,164,165,167,177,183,170,131,150,172,171,176,171,172,172,115,123,129,131,135,140,144,148,152,154,157,159,161,163,165,169,168,186,199,170,119,87,114,130,155,178,172,173,116,124,129,132,137,141,145,150,153,155,157,161,164,163,174,157,133,136,171,174,119,79,102,128,85,158,179,174,118,126,130,132,138,142,147,151,153,157,159,162,163,173,202,171,142,106,136,179,153,84,113,129,76,144,183,174,120,128,132,133,138,143,148,153,154,158,158,169,158,128,178,200,168,123,76,162,168,88,109,139,80,157,182,176,121,128,133,135,139,144,150,153,156,156,165,194,163,112,100,196,187,145,75,90,146,84,122,156,94,171,180,178,122,129,135,137,140,146,151,155,156,163,191,189,180,145,78,144,194,137,89,41,79,61,120,139,114,186,177,179,124,132,136,138,143,149,152,155,156,186,165,159,190,160,92,94,181,124,85,41,61,91,120,114,89,172,183,180,125,134,137,138,145,151,154,153,174,198,164,140,173,145,96,76,162,129,84,45,96,136,130,114,95,125,190,179,127,134,138,141,147,152,155,156,186,180,151,128,160,120,85,56,152,155,87,83,161,155,128,93,100,93,171,185,129,136,139,142,149,155,157,164,195,174,150,111,141,111,81,34,130,154,83,146,179,151,125,100,95,81,161,189,131,138,140,143,151,158,160,167,203,183,162,120,108,115,68,46,123,160,145,180,163,139,118,97,80,90,185,185,134,140,141,145,154,160,162,173,206,188,166,134,94,94,95,137,178,189,191,173,152,126,110,94,67,135,194,183,136,142,143,148,156,162,163,178,211,197,169,137,133,136,143,166,184,183,181,166,141,122,103,83,72,177,189,186,138,144,146,151,159,164,164,181,205,200,179,150,155,141,144,174,177,186,173,155,134,116,98,70,92,195,187,188,141,147,148,155,163,168,169,182,196,202,188,165,161,143,152,185,175,178,162,141,122,105,92,57,145,199,188,190,143,148,151,158,165,171,174,174,192,201,192,173,161,145,154,178,179,159,146,128,114,103,71,107,198,191,192,191,146,151,153,160,167,172,177,174,187,194,189,180,166,155,152,167,174,153,135,118,109,89,90,193,196,193,193,193,148,153,155,162,169,173,177,180,178,195,191,184,180,169,153,160,167,148,121,109,100,80,172,202,194,196,195,194,150,154,157,163,171,176,179,183,172,195,190,184,181,169,150,154,154,138,106,103,82,133,207,195,197,198,195,197,151,157,158,166,173,179,181,185,176,192,175,161,170,162,147,147,144,128,107,92,90,194,200,199,199,196,202,192,152,157,159,167,175,180,183,187,178,194,176,163,177,173,160,140,138,124,116,79,124,204,200,201,200,211,189,96,154,157,160,169,175,179,183,187,176,195,188,172,188,176,163,138,134,123,118,74,144,206,200,204,201,159,86,56,154,158,161,169,175,180,183,187,181,191,198,188,199,179,164,142,133,123,116,72,153,208,201,201,118,57,44,48,155,159,162,171,177,181,184,190,179,179,203,193,196,176,161,146,134,124,113,70,148,210,211,148,65,65,54,31
18,144,145,148,149,151,154,155,156,157,158,160,161,161,161,161,162,161,162,162,163,164,165,165,165,165,166,165,165,146,147,150,151,153,156,157,157,160,161,162,163,163,163,164,164,163,164,165,165,167,166,168,167,167,168,167,168,147,149,152,153,155,157,159,161,163,163,164,165,165,165,166,166,166,167,167,168,168,168,168,169,169,170,169,168,150,151,154,155,157,159,161,162,164,166,166,167,168,168,168,168,168,168,169,168,169,170,171,169,170,171,171,171,151,152,155,157,159,161,163,164,166,167,168,169,169,170,171,170,169,171,172,175,173,171,175,174,175,173,173,174,152,153,156,159,161,162,163,167,169,168,169,170,171,172,172,173,172,174,160,156,170,175,155,136,152,176,175,175,155,155,158,161,162,164,166,168,169,170,170,172,173,173,174,173,173,176,147,137,161,179,147,102,110,144,184,174,156,157,160,162,164,165,168,170,171,172,173,174,175,175,173,176,175,165,162,162,177,166,165,125,96,100,176,179,158,160,162,164,166,168,170,173,173,174,175,176,176,176,179,157,160,151,162,165,160,142,182,143,102,75,154,189,159,161,163,166,168,170,172,174,175,175,176,176,172,191,187,141,121,132,147,143,110,147,198,152,118,76,140,191,161,162,165,167,168,171,173,175,176,177,175,185,140,147,179,145,122,113,144,108,81,183,196,161,132,81,138,192,162,164,166,167,170,173,174,176,177,174,190,199,136,102,174,162,146,116,180,128,86,193,200,178,147,88,143,195,162,164,167,169,171,175,177,178,177,187,189,194,155,115,152,179,151,111,154,155,112,170,206,188,148,99,110,195,163,166,169,171,173,176,178,178,183,191,155,191,176,136,124,177,151,124,87,135,185,192,186,166,141,115,82,171,164,167,170,172,174,176,179,177,193,197,155,182,183,148,111,155,161,126,144,184,189,191,165,153,140,126,83,153,166,168,171,173,175,178,180,184,192,175,142,155,166,135,95,126,138,153,201,189,176,172,155,144,139,118,89,174,167,170,173,174,177,179,180,183,200,178,142,139,128,104,81,76,135,202,197,185,169,159,151,130,125,94,115,196,169,172,174,176,178,181,182,182,199,182,161,141,96,91,66,82,197,198,187,178,168,159,134,116,104,80,162,196,171,173,175,177,179,182,183,184,200,188,175,147,113,140,105,164,206,194,189,174,164,150,120,105,90,101,195,191,170,173,176,178,180,183,182,188,200,198,169,141,167,157,149,209,197,196,182,166,156,133,108,99,82,134,201,192,172,174,178,179,181,184,183,194,199,200,160,157,176,144,182,213,203,189,174,162,147,118,98,95,86,178,198,193,173,176,178,180,183,185,183,193,203,197,163,165,174,137,203,205,205,182,164,149,129,105,95,81,129,200,192,194,174,177,178,181,184,185,187,185,195,199,170,175,164,145,212,206,193,172,157,137,112,96,91,89,186,198,194,196,176,177,180,182,184,186,190,186,187,191,177,182,162,172,195,196,178,158,146,127,105,99,78,135,206,194,196,196,175,179,181,183,184,186,190,188,181,188,179,188,174,170,177,180,168,154,136,119,104,91,93,190,198,198,197,196,177,180,183,184,186,188,189,190,180,193,187,181,169,153,167,178,169,146,126,112,101,79,151,205,197,198,198,199,177,181,182,184,187,188,190,192,179,184,168,160,155,147,166,171,165,141,115,105,86,102,196,197,199,199,200,200,177,180,182,185,188,189,191,193,185,175,154,160,157,172,175,172,159,136,114,102,79,143,205,198,200,200,200,201
0,173,175,177,179,181,183,184,185,186,187,188,188,189,189,189,189,189,190,190,189,188,186,186,185,184,185,184,183,174,176,178,181,182,183,186,186,188,189,190,190,191,191,190,190,190,190,191,191,189,187,188,188,185,185,186,184,176,177,181,182,183,185,187,189,189,192,192,192,191,192,192,193,190,190,190,192,191,190,188,188,188,185,187,185,177,178,179,182,182,183,187,189,190,192,191,192,193,195,193,193,194,194,190,192,192,191,189,188,187,185,189,187,176,180,181,183,183,186,190,189,192,198,194,191,184,174,192,192,172,174,193,190,191,190,193,189,189,188,189,188,177,180,182,183,185,189,190,190,189,163,178,211,174,123,127,195,156,97,151,211,193,172,150,198,190,190,190,190,179,181,184,184,186,190,188,196,196,156,113,194,196,141,88,196,164,106,86,151,161,186,110,174,200,189,192,191,181,182,185,185,188,190,187,214,213,192,121,116,204,134,96,200,160,113,56,104,131,191,156,118,177,198,190,192,182,182,185,187,191,188,201,204,199,199,132,73,183,142,106,205,164,90,90,151,104,181,183,152,117,162,198,192,183,185,187,188,192,187,215,182,175,187,103,78,179,128,113,195,145,66,109,156,71,162,211,177,123,78,197,193,183,186,189,190,188,188,221,189,176,164,76,98,172,103,103,168,126,58,108,151,82,199,220,171,104,74,196,193,184,186,188,192,189,207,213,176,169,158,90,101,149,88,84,144,113,44,113,134,129,204,185,149,63,129,208,192,185,188,190,192,189,224,216,166,123,136,90,84,149,90,70,151,90,70,158,147,164,168,140,103,60,187,200,197,186,189,190,193,191,225,214,184,147,93,39,93,181,99,77,174,155,175,162,147,120,138,112,58,110,209,196,199,186,189,191,192,195,227,202,183,167,138,82,78,116,76,85,202,198,174,151,138,95,96,96,44,160,209,197,196,187,189,191,191,204,231,204,183,168,156,113,72,91,124,194,211,194,164,141,125,86,74,70,52,195,203,198,198,188,189,192,190,209,233,211,187,170,166,131,97,103,173,218,206,184,152,128,106,73,68,37,123,213,199,198,200,190,190,193,190,208,231,215,191,173,167,142,103,110,190,220,198,176,143,116,86,65,44,70,205,201,201,199,199,189,191,193,194,202,231,217,197,178,162,142,103,144,197,206,187,171,134,100,71,54,39,173,210,202,203,200,199,188,191,194,195,201,230,215,201,184,159,137,123,176,192,177,177,159,120,80,62,29,135,216,203,203,203,204,203,190,191,197,192,204,232,218,213,185,158,147,155,189,163,158,160,139,101,70,33,93,215,204,206,206,205,205,205,191,192,195,187,220,230,221,221,190,166,155,166,179,142,153,141,114,82,47,55,203,209,207,207,206,205,205,205,192,193,191,195,229,215,218,213,175,162,162,162,145,142,143,126,99,61,45,176,214,206,206,207,206,205,204,204,190,192,187,207,206,186,201,193,159,159,160,146,136,134,116,105,69,38,156,214,204,209,206,206,205,204,204,204,190,188,185,215,189,163,164,161,150,148,150,134,122,118,98,76,45,134,209,206,208,208,206,206,204,204,204,204,194,174,200,212,168,155,146,135,134,160,148,104,111,111,79,38,133,210,205,210,209,208,208,207,206,205,205,206,184,175,223,202,150,133,141,116,126,161,124,88,113,96,44,104,207,209,208,209,208,209,208,208,208,206,206,206,168,203,220,197,147,118,127,106,128,143,107,91,101,60,59,190,208,209,210,209,209,209,208,208,208,207,208,205
2,174,174,175,174,175,175,175,175,174,173,173,174,174,173,172,171,171,170,169,169,169,168,160,110,69,63,60,63,177,176,177,176,177,177,177,177,176,176,176,176,175,175,172,164,165,170,170,171,171,170,166,126,74,63,57,63,179,179,180,179,180,180,179,180,180,180,180,179,178,174,157,127,126,145,148,166,174,173,170,140,79,54,48,60,182,182,183,183,183,183,183,183,182,182,184,182,170,146,116,90,83,99,102,135,167,175,173,153,89,47,46,63,185,185,186,186,186,186,186,186,186,190,191,172,126,94,77,68,65,73,73,90,146,176,177,167,107,52,46,57,188,188,188,189,188,188,188,187,191,195,176,132,85,66,61,57,55,60,64,78,142,178,179,174,135,101,86,71,190,190,191,191,191,191,190,189,196,191,138,88,62,54,56,55,53,61,71,100,159,182,182,179,152,130,149,141,193,193,193,193,193,193,191,191,201,177,113,72,59,53,55,61,77,103,130,158,181,186,185,182,148,139,178,168,195,195,195,194,194,195,194,198,199,156,98,69,65,61,67,90,136,171,183,187,188,187,187,185,158,154,169,141,196,197,196,197,196,196,197,205,190,139,89,66,65,67,98,151,183,192,192,192,191,190,189,187,176,160,139,132,198,198,198,198,199,198,203,210,182,133,92,73,64,75,137,189,195,195,194,194,193,192,191,190,187,173,147,162,200,200,199,200,200,200,211,212,173,124,92,79,69,84,158,197,198,196,196,195,194,193,193,192,190,184,174,172,201,201,201,201,201,203,218,206,161,114,87,79,75,103,178,200,199,198,197,196,196,195,195,194,193,189,185,183,202,202,202,202,200,207,220,196,153,109,83,75,78,121,191,201,201,200,199,198,198,197,197,196,195,192,186,173,204,204,204,202,201,215,216,184,142,104,82,75,79,131,196,202,201,201,201,200,200,198,198,197,197,196,191,171,206,206,206,202,207,222,208,172,132,97,80,75,79,140,199,203,203,202,202,202,201,198,196,194,194,196,196,190,206,206,206,201,214,223,200,162,123,93,75,69,73,122,186,204,205,204,202,200,194,185,176,168,164,174,192,197,207,207,205,203,221,219,191,152,116,90,70,66,73,89,137,192,204,199,189,177,167,163,156,145,133,131,176,197,208,208,203,212,225,213,180,142,109,85,64,68,78,85,99,143,167,163,160,161,157,149,137,134,139,146,181,199,209,206,206,223,224,205,169,133,102,80,64,78,90,97,101,108,121,138,152,153,139,122,131,163,187,194,199,201,209,207,217,227,219,196,160,126,98,79,71,90,103,109,109,109,116,129,134,130,127,137,175,200,204,204,203,202,205,213,224,223,211,187,150,116,93,80,81,99,111,113,110,105,106,113,128,153,177,193,204,207,206,206,205,203,205,217,222,215,201,173,136,106,90,83,91,107,114,110,103,98,106,140,181,201,208,208,208,208,207,207,206,205,211,216,213,200,179,149,118,98,89,86,97,107,109,100,102,126,162,196,212,213,211,211,210,209,208,207,206,206,210,208,196,177,156,131,108,94,89,90,96,102,101,104,142,189,208,214,215,214,212,212,212,210,209,208,207,207,206,197,176,154,138,116,100,93,92,92,93,99,115,154,197,214,216,216,215,215,214,214,213,212,211,210,209,208,199,186,158,130,113,98,92,94,93,96,108,140,179,207,216,217,217,216,216,216,215,215,214,214,213,212,209,203,193,176,144,113,94,88,91,93,94,123,164,199,215,218,218,218,217,217,217,216,216,216,215,215,214,213,208,191
1,63,29,47,63,71,81,97,112,122,129,133,136,138,142,146,148,148,153,156,158,159,160,161,162,163,163,163,164,57,29,50,64,72,82,99,113,123,130,134,137,140,144,150,144,129,147,156,158,160,161,162,163,164,164,164,164,50,30,54,65,74,85,102,116,125,131,136,139,142,145,157,140,106,131,140,155,161,163,164,164,165,165,165,165,42,32,56,67,75,87,105,118,126,132,138,141,147,143,150,137,106,125,118,146,163,164,166,166,166,166,166,166,34,35,58,68,77,89,107,120,128,134,139,143,155,137,138,133,111,131,112,139,164,166,167,168,168,167,167,168,27,38,60,69,78,91,109,121,129,135,140,146,158,130,137,133,114,134,112,133,165,167,168,169,169,169,169,169,22,42,62,70,80,94,111,122,129,136,143,148,156,122,134,132,113,136,115,131,165,168,170,171,171,171,171,171,21,46,65,72,82,97,113,124,131,140,148,138,146,118,137,132,112,134,115,130,167,171,172,173,173,173,173,173,23,50,66,73,83,99,115,125,133,147,144,125,137,120,149,134,113,140,120,128,168,173,174,174,174,174,174,174,26,54,67,74,84,100,116,126,136,155,135,119,133,123,151,128,116,152,125,129,168,174,175,176,176,176,176,176,31,57,68,75,86,103,118,128,141,160,126,122,134,119,137,113,115,150,120,131,170,175,177,177,177,178,178,178,36,59,69,76,87,104,119,129,147,160,116,118,126,113,128,111,125,147,115,132,172,177,178,179,179,180,180,180,40,62,70,78,89,105,120,130,155,159,112,113,133,130,132,140,148,144,112,133,173,178,180,180,180,181,181,181,45,64,71,79,90,107,121,132,163,157,121,123,150,148,138,146,144,133,106,132,175,180,181,182,182,182,182,182,50,65,72,80,92,109,121,137,172,165,147,145,160,158,152,145,134,120,100,131,176,180,182,183,183,183,183,183,54,66,72,80,93,111,122,147,177,158,144,141,138,144,163,162,146,123,99,129,176,181,182,184,185,185,185,185,58,67,74,82,94,112,124,159,174,143,125,118,109,129,163,167,155,132,102,124,175,182,183,185,185,186,186,186,62,68,75,83,96,114,127,166,172,143,131,131,135,161,175,166,146,123,95,107,169,184,185,186,186,187,187,187,65,69,75,83,98,115,128,167,177,152,139,143,167,191,183,161,134,105,85,91,158,185,187,187,188,188,188,188,66,69,76,84,99,115,128,165,184,164,147,146,173,197,183,154,125,95,77,88,157,186,187,188,189,189,189,189,68,70,77,85,100,116,128,159,184,166,151,147,167,190,176,147,117,91,76,102,169,187,189,190,190,190,190,191,68,71,78,87,102,117,128,152,179,166,155,149,160,179,167,140,110,88,81,130,182,189,190,191,192,192,192,192,69,71,78,87,103,118,129,146,171,168,161,155,164,171,152,126,101,84,92,156,187,191,192,192,193,193,193,193,69,72,78,87,104,118,128,141,161,165,160,152,155,157,137,113,95,81,106,173,190,192,193,193,194,194,195,194,69,72,78,87,103,118,129,138,152,161,156,147,140,138,127,109,93,80,119,180,190,192,193,195,195,195,195,195,68,71,77,86,102,116,127,137,148,160,157,147,138,135,129,113,93,82,133,183,189,191,193,194,194,194,194,194,68,70,76,85,102,115,126,138,159,166,158,154,145,135,125,111,89,81,140,185,188,190,192,193,194,195,194,194,68,70,75,85,102,115,126,142,172,173,151,154,147,132,114,101,84,76,134,184,188,191,193,194,195,195,195,195
0,164,165,166,166,167,168,168,168,168,168,167,166,166,167,167,168,168,167,168,168,167,168,168,168,166,167,167,166,166,167,168,167,167,169,169,169,169,168,168,168,169,169,167,167,169,172,168,170,170,169,169,168,168,169,169,169,167,168,169,169,169,169,170,169,169,169,169,168,170,169,178,167,134,144,174,164,166,174,173,171,170,168,169,169,168,168,169,170,172,170,169,170,170,169,172,172,146,138,181,162,133,110,112,128,119,152,168,132,159,173,169,169,169,169,169,170,172,171,170,171,172,173,193,181,147,117,150,168,144,132,72,113,120,102,147,108,140,179,169,171,168,170,170,170,170,172,171,177,159,147,194,179,156,130,144,186,147,138,86,131,132,104,122,114,133,181,171,173,169,170,171,172,172,172,174,198,160,119,155,193,161,137,133,196,160,143,91,144,135,98,97,116,112,184,171,173,170,171,171,172,174,169,186,194,166,143,135,197,169,137,121,195,164,140,87,146,133,88,85,127,79,168,176,173,171,172,172,173,171,185,182,181,177,154,118,180,176,132,106,189,166,129,73,117,121,80,76,133,72,119,184,173,172,173,173,173,173,188,157,173,186,159,111,156,181,131,89,160,157,116,67,93,109,73,78,136,82,98,183,174,173,173,175,171,183,183,147,155,182,157,110,130,173,126,80,127,144,109,73,81,99,63,90,145,94,100,185,176,173,174,174,173,183,178,152,144,164,141,103,105,155,119,76,97,138,106,71,81,101,71,131,157,104,103,185,177,171,172,172,176,184,167,143,118,149,137,99,86,145,117,68,76,137,105,63,97,108,87,159,153,105,109,186,176,170,172,172,172,194,182,152,110,122,140,90,77,139,121,67,72,142,103,111,159,134,102,150,158,105,117,185,175,172,173,173,174,193,183,156,122,89,119,112,74,141,136,76,79,140,142,158,157,142,116,112,147,98,122,187,176,174,174,174,176,196,187,165,139,106,96,118,91,136,145,124,153,165,164,155,145,128,116,99,101,83,117,188,176,174,174,174,176,196,192,171,148,135,126,119,135,150,159,174,176,174,166,153,140,120,104,98,84,70,112,189,176,173,174,174,177,193,192,178,161,151,142,132,133,152,165,174,173,174,168,149,135,119,99,89,85,65,132,188,177,173,173,173,176,188,189,183,172,164,148,139,136,145,162,172,173,169,163,145,130,115,97,86,72,99,177,182,181,177,178,179,173,185,189,190,182,168,152,140,138,147,166,174,174,164,157,142,128,110,94,75,87,171,181,179,180,143,147,152,146,171,190,193,185,168,155,142,138,146,169,175,169,158,151,138,120,102,87,73,158,189,183,186,185,85,86,91,79,126,193,185,180,169,158,147,136,145,166,166,156,145,138,127,110,94,80,92,145,145,148,145,145,91,92,92,83,100,189,175,170,169,162,152,135,142,163,160,146,130,118,109,100,85,84,88,86,82,80,98,130,90,91,93,89,93,183,167,164,171,164,150,135,137,162,157,138,112,96,91,84,85,92,88,87,111,152,186,185,89,90,90,91,92,177,166,165,172,160,149,141,136,156,152,128,95,83,79,85,91,95,119,158,190,191,180,166,89,90,89,92,88,177,178,168,170,156,145,143,132,140,141,114,83,78,79,84,103,167,198,206,194,188,182,164,90,90,90,91,84,175,185,175,169,155,146,148,129,132,135,106,79,75,78,126,188,204,202,197,188,193,197,184,91,90,91,91,86,167,183,180,168,154,146,148,127,125,132,103,77,63,128,196,195,196,199,187,182,190,199,200
21,77,86,99,113,122,129,134,138,142,145,144,149,154,156,158,160,162,164,165,166,166,167,167,168,168,168,168,168,79,88,102,115,124,131,136,138,145,163,118,124,156,157,160,162,164,165,166,168,169,169,169,170,169,169,170,169,80,87,104,117,126,132,137,140,151,172,110,106,158,159,162,164,165,167,167,169,170,171,171,171,172,171,171,171,82,89,105,119,127,133,138,142,152,172,117,101,157,160,163,166,168,168,168,170,171,173,173,173,173,173,173,172,84,91,106,120,128,135,140,144,151,169,121,98,155,162,165,166,169,171,172,166,143,164,176,175,175,175,174,175,85,94,109,121,131,137,140,145,152,171,130,99,152,164,166,169,171,171,173,149,105,145,179,177,177,177,177,177,87,96,111,122,132,138,143,147,152,171,135,99,145,167,168,171,173,176,169,134,104,164,180,178,178,179,179,178,88,97,113,124,133,140,145,149,151,172,138,100,132,169,170,172,174,179,157,117,123,180,180,180,180,180,180,179,88,98,114,125,133,140,146,149,152,180,145,104,125,170,171,172,177,173,143,109,158,183,182,182,182,181,181,180,89,100,117,127,133,140,145,150,153,187,152,112,125,170,171,174,175,157,123,121,179,182,184,184,183,182,182,182,90,102,118,127,135,141,146,150,151,175,141,109,119,172,173,178,174,147,105,151,184,183,184,185,184,184,184,183,91,103,119,128,136,142,153,164,139,149,120,98,114,172,171,176,169,130,116,178,184,184,185,185,185,185,185,185,92,105,120,130,136,140,172,190,139,115,95,86,109,159,164,168,152,107,151,186,185,186,186,186,186,186,186,186,94,107,122,130,137,143,168,172,130,93,77,83,114,149,157,149,118,111,179,185,186,187,187,187,187,188,187,186,94,108,122,131,137,165,180,146,123,97,69,74,102,132,138,122,95,146,187,186,187,187,188,188,188,188,188,187,95,110,123,131,144,196,181,165,142,124,82,69,92,110,120,106,104,177,186,187,188,189,189,189,189,188,188,188,96,111,124,132,158,177,177,189,176,141,94,73,83,95,104,91,134,186,186,188,188,189,189,189,189,189,189,189,98,114,125,132,171,161,167,182,178,126,88,77,77,87,89,83,159,188,188,189,189,190,189,189,190,190,189,189,99,114,124,136,180,151,136,124,142,118,94,82,77,76,80,83,163,189,188,190,191,191,192,192,191,191,190,189,100,115,125,143,176,137,122,118,129,127,103,84,77,77,76,81,161,190,189,191,191,192,193,193,193,192,191,191,101,116,125,151,182,155,144,126,131,155,113,93,84,78,74,82,165,191,191,192,192,192,193,193,193,193,192,192,103,117,125,155,182,167,145,131,181,190,130,110,94,76,73,84,171,190,191,192,193,193,193,194,194,193,193,193,104,117,125,156,190,168,139,145,202,179,135,113,97,76,73,95,179,190,191,193,193,193,194,194,194,194,194,194,105,118,126,153,184,152,143,152,189,156,126,107,97,80,72,112,186,190,191,193,194,194,194,195,195,195,195,194,106,119,128,147,172,148,153,148,178,150,131,105,91,79,71,128,189,190,192,193,194,195,195,196,196,196,195,195,107,118,127,141,161,161,166,148,177,149,131,116,87,76,73,141,191,190,193,194,195,196,196,196,196,196,196,195,106,116,126,136,159,175,157,143,174,141,118,105,83,74,77,157,188,189,192,194,193,194,195,195,196,196,196,195,105,115,126,135,153,173,155,135,154,127,102,88,77,70,82,167,187,188,190,191,192,193,194,195,195,195,195,195
20,163,165,168,169,171,173,173,174,175,175,175,175,174,174,173,172,171,171,170,168,168,166,165,163,163,161,161,160,164,166,169,170,172,174,175,176,177,177,177,177,176,175,176,173,173,171,170,158,166,168,167,165,165,164,163,163,165,167,169,172,173,175,176,178,178,179,179,178,177,176,177,176,174,172,176,127,131,169,168,167,167,165,165,164,166,168,170,173,174,176,178,178,179,180,180,178,178,178,178,177,175,176,176,118,115,151,165,169,168,167,166,165,167,169,171,173,175,177,178,179,181,181,180,179,179,179,179,177,177,181,168,112,85,115,126,171,169,167,166,166,168,171,173,175,176,178,180,181,182,183,182,181,181,180,180,181,178,189,162,105,105,128,112,172,170,169,167,167,169,172,174,176,177,180,181,182,184,184,184,183,182,181,181,181,180,192,157,102,140,133,108,172,172,170,169,168,170,173,175,178,179,181,182,184,186,186,185,185,184,184,183,182,180,190,149,102,162,140,113,173,173,172,172,170,171,174,177,179,180,182,184,185,186,187,187,187,187,185,183,184,185,185,140,113,169,138,120,175,175,173,172,171,173,175,178,180,181,183,184,186,187,187,187,188,187,180,152,160,191,181,136,133,168,129,124,177,176,175,174,172,174,177,178,181,182,184,186,187,188,189,188,188,187,185,148,115,168,167,124,151,174,125,131,179,178,177,175,174,174,177,180,182,183,186,188,189,189,190,189,193,190,186,178,144,122,111,95,149,162,116,144,180,180,178,177,176,175,178,182,185,185,186,188,189,191,192,191,201,195,192,200,179,135,88,68,122,135,107,156,181,181,179,178,178,177,180,182,186,187,189,190,192,193,192,194,188,149,177,179,177,139,95,80,97,105,96,166,182,181,179,179,178,178,181,184,186,188,189,191,193,193,193,202,174,126,160,154,175,157,113,85,80,88,91,174,183,182,180,180,178,179,181,184,186,188,190,193,193,193,194,206,183,148,123,107,153,170,131,93,78,81,96,180,185,183,181,181,180,180,182,184,186,188,191,194,195,195,195,195,157,130,108,84,114,184,147,107,85,79,105,185,185,184,183,182,181,181,182,185,187,188,192,194,196,196,201,193,158,142,121,103,161,191,155,129,94,82,119,187,186,186,185,182,181,181,183,186,188,190,192,195,196,196,207,189,165,140,124,165,203,182,150,137,101,88,128,188,187,186,185,183,182,181,184,186,188,190,193,195,196,198,214,196,162,137,150,213,192,164,138,128,102,93,144,189,187,187,186,184,182,182,184,186,189,192,194,197,198,204,221,191,150,146,184,216,185,155,125,114,102,97,166,189,189,188,186,185,183,182,185,188,190,192,194,196,198,206,218,173,165,146,202,209,181,151,125,101,98,105,182,190,190,188,188,186,184,180,183,187,189,192,193,195,197,207,209,186,180,146,209,199,169,142,121,101,98,122,188,190,189,188,187,186,184,180,182,186,188,191,194,195,196,202,208,203,174,166,204,182,153,129,111,100,97,150,190,191,189,188,187,185,183,181,183,187,189,192,193,195,195,199,207,198,170,156,183,169,139,118,103,98,103,175,192,191,189,188,187,185,184,180,184,187,190,192,194,196,196,198,200,179,163,152,165,161,136,119,103,93,124,189,193,192,189,188,187,186,185,180,184,187,189,192,194,196,196,197,188,173,164,163,163,167,149,118,99,91,149,193,193,191,189,188,188,187,185,179,183,186,189,192,194,196,197,197,199,190,189,179,167,162,148,112,95,93,169,193,191,190,189,188,187,186,185
12,131,132,134,135,135,136,136,137,141,142,140,144,147,144,144,145,147,147,147,148,146,147,146,146,146,146,146,148,131,133,134,136,136,137,137,139,141,138,142,136,131,146,147,140,130,137,148,146,147,148,148,147,147,147,148,148,133,134,135,136,137,138,138,141,139,160,163,127,96,100,161,138,112,89,141,153,150,149,149,149,147,147,147,148,134,135,135,136,138,139,142,137,158,192,169,121,107,77,152,132,115,90,95,117,127,148,149,148,148,149,149,149,133,135,136,137,138,139,141,138,176,161,162,135,137,82,128,147,128,93,70,102,84,95,152,150,151,151,151,151,135,136,137,138,138,141,140,145,186,138,146,149,129,85,117,157,133,86,80,113,98,56,130,159,150,152,152,151,136,137,138,140,142,142,140,154,192,137,150,128,101,65,55,124,102,71,92,127,106,69,126,158,150,152,152,151,136,138,140,141,140,144,135,129,164,98,140,134,110,73,36,64,58,43,141,142,104,70,141,155,152,154,153,151,137,138,141,139,145,165,139,110,96,82,111,138,130,130,111,104,87,51,113,117,80,69,154,153,154,154,153,152,138,140,142,136,174,180,148,125,86,85,107,114,112,130,135,134,133,92,48,57,58,89,162,154,154,153,152,152,139,144,137,158,180,174,161,133,98,86,117,103,79,101,105,136,156,127,84,40,45,117,164,154,154,153,152,152,140,143,137,185,160,160,166,140,106,81,81,92,75,77,86,148,159,149,126,67,44,139,161,156,155,153,153,152,140,137,156,180,133,121,156,143,117,93,72,82,74,88,109,146,154,155,146,102,60,151,158,158,155,155,154,153,140,136,172,168,148,126,120,149,122,92,73,83,73,85,95,136,160,150,151,130,78,152,159,157,155,155,155,154,140,137,180,174,157,129,92,136,130,92,74,72,74,88,110,125,139,155,136,142,89,130,165,154,157,156,156,157,139,140,175,148,120,100,76,92,142,107,97,65,86,89,130,155,142,142,130,122,104,93,165,156,158,157,158,158,139,142,184,160,139,118,100,82,120,129,129,85,93,110,155,160,156,140,122,109,101,80,163,158,158,159,158,157,142,142,189,169,143,123,112,93,88,116,109,98,107,148,171,162,156,139,122,104,83,95,166,157,159,158,158,158,143,145,191,171,148,133,120,95,91,117,88,101,133,170,171,161,153,138,124,103,71,111,168,158,159,159,159,159,142,147,195,174,154,140,127,102,95,126,106,128,164,181,170,159,147,136,123,103,65,123,168,159,159,159,158,159,142,152,200,174,154,145,133,117,98,119,123,142,179,182,170,156,143,134,121,98,62,140,164,159,159,159,158,159,139,154,202,176,160,149,135,130,110,115,134,143,187,177,165,153,141,134,114,90,69,154,163,160,160,160,159,159,140,152,197,180,169,152,141,135,124,111,140,142,188,172,157,151,142,131,111,82,79,161,159,160,161,161,159,159,145,146,186,184,175,159,147,141,134,115,138,144,182,170,148,144,139,126,109,73,99,169,158,161,161,160,160,159,146,142,176,189,174,163,151,147,137,119,127,140,175,167,146,142,137,118,105,65,128,167,158,161,162,160,160,160,146,141,169,194,176,167,157,148,136,124,123,129,164,163,143,138,132,118,97,69,150,164,161,161,163,162,160,160,146,141,159,197,180,167,156,144,131,125,126,124,150,155,134,130,128,121,81,88,167,159,162,162,162,161,161,160,145,140,162,201,176,159,152,141,129,121,125,126,140,145,129,125,128,114,68,122,169,159,162,162,161,161,162,160
24,187,189,190,192,192,193,193,193,194,193,194,194,194,195,194,194,195,194,194,193,192,192,190,193,116,33,21,25,190,192,193,194,194,195,196,196,196,196,197,198,198,198,197,196,198,197,198,196,194,193,195,176,92,41,34,29,193,194,196,197,197,198,199,200,199,200,200,200,200,200,200,199,200,200,200,200,198,196,199,178,74,40,47,58,195,196,199,200,200,201,201,201,202,202,202,202,203,202,202,202,202,202,201,201,201,200,200,193,92,43,65,60,197,199,200,201,201,203,204,204,205,204,204,205,205,205,205,207,206,205,205,204,203,202,198,207,143,45,65,42,199,200,201,203,204,205,206,207,207,207,207,207,207,208,208,208,208,208,208,207,206,205,204,204,189,73,51,36,201,202,203,205,206,207,208,209,208,207,208,209,209,209,209,210,210,210,209,209,208,207,206,203,215,116,42,33,202,204,206,207,206,203,212,209,209,210,210,210,211,212,212,212,213,212,212,212,210,208,209,206,214,167,36,31,204,205,208,208,212,158,195,215,211,213,213,213,213,213,214,213,214,214,214,215,213,211,211,210,211,197,126,125,205,206,209,210,212,149,153,224,211,214,214,215,215,214,215,215,215,216,215,214,214,214,212,212,212,201,148,199,206,208,211,212,216,171,113,211,216,214,215,214,214,216,215,216,216,215,215,219,216,214,215,213,215,197,169,216,207,209,212,214,214,194,121,166,225,212,215,215,216,218,221,218,218,223,220,195,211,218,214,215,214,211,195,163,208,210,213,214,215,212,165,116,212,219,216,216,219,211,199,223,211,187,229,173,144,214,217,215,215,213,194,135,209,212,213,214,215,218,196,134,149,223,219,214,228,213,161,205,209,128,176,206,112,190,225,215,213,205,167,138,210,214,214,215,216,218,209,184,143,176,225,213,240,235,200,161,200,149,156,216,126,191,226,213,223,200,136,108,209,213,214,214,215,217,216,198,167,155,200,220,216,241,228,150,174,181,147,206,146,190,227,215,229,156,114,176,209,212,213,213,215,216,216,212,191,200,187,199,192,213,237,171,136,186,146,214,148,167,201,215,206,110,178,228,209,212,214,215,215,215,218,215,228,216,192,172,162,159,220,193,118,152,161,211,168,109,174,208,154,135,222,210,209,212,215,215,215,216,219,218,228,229,178,159,137,123,174,204,115,141,178,188,198,119,190,176,127,200,219,213,209,212,214,214,215,216,219,219,220,234,232,184,136,142,151,191,141,135,203,138,162,184,186,135,137,224,215,215,216,219,221,221,222,222,223,225,223,233,241,232,185,134,147,177,169,119,204,143,207,202,172,115,178,225,215,215,169,173,176,180,184,189,194,198,198,214,249,240,237,171,135,177,207,174,200,218,221,170,148,136,228,227,221,218,104,104,106,108,107,108,110,111,108,128,244,232,238,208,158,146,209,251,251,242,196,160,133,123,156,156,178,197,113,113,115,114,113,113,113,113,115,103,198,234,238,230,182,154,164,236,241,214,179,148,118,128,155,188,212,225,113,111,112,112,114,115,114,115,116,110,133,234,244,232,193,161,154,210,227,193,172,123,130,230,232,224,226,235,112,111,111,111,113,114,114,115,116,119,104,199,230,201,170,149,154,183,199,175,144,110,169,200,206,222,215,222,111,113,112,111,112,112,113,115,115,118,103,171,228,181,175,164,160,173,183,161,117,126,215,181,172,196,207,207,109,111,111,113,113,113,113,115,114,115,106,153,230,204,201,184,172,175,181,151,102,140,211,197,143,163,192,205
6,145,151,155,156,159,163,166,168,172,175,176,178,180,182,183,186,187,188,189,190,190,190,191,192,192,192,191,192,147,151,154,155,158,163,167,169,172,175,177,179,181,183,184,186,187,188,189,191,191,191,192,192,192,192,192,192,146,152,154,155,158,164,168,171,172,175,178,181,183,183,184,186,189,190,191,190,191,192,194,193,192,192,192,192,147,152,155,156,160,164,168,171,174,177,179,181,183,184,185,187,190,192,193,192,193,194,195,195,193,193,193,193,148,154,155,157,160,164,167,171,174,178,179,181,184,185,186,188,190,192,192,192,195,194,195,197,196,195,197,197,148,153,155,158,160,165,168,172,175,179,179,182,184,184,186,187,189,189,190,191,188,190,191,192,192,189,186,188,149,154,157,158,159,164,170,172,174,176,184,188,186,189,192,194,194,199,198,193,196,200,208,200,192,186,169,168,147,152,155,155,159,163,167,169,180,198,207,203,189,182,195,206,210,211,207,195,197,206,210,207,200,190,177,177,147,152,154,156,157,161,173,191,207,209,207,199,185,157,153,177,182,181,179,175,177,170,163,164,162,155,151,157,149,156,155,153,165,187,210,209,202,201,204,207,191,151,120,122,122,128,139,139,142,155,169,175,176,178,180,185,148,150,160,183,202,212,207,201,203,207,209,197,167,147,123,116,113,106,130,174,189,196,199,199,200,201,199,199,153,180,205,213,208,208,203,204,209,206,194,175,150,137,126,124,130,124,121,155,180,197,196,197,197,197,195,196,206,213,210,208,207,209,209,206,205,205,203,201,172,133,122,112,122,135,128,118,102,165,205,197,199,198,197,197,213,210,211,211,207,204,205,203,204,207,214,209,167,133,126,121,114,124,135,140,121,103,174,203,197,198,198,198,216,215,213,206,206,205,207,201,203,212,213,183,152,137,131,133,135,122,111,119,127,112,126,203,196,198,197,197,216,213,208,201,199,196,197,194,199,206,199,172,147,134,135,138,140,133,114,109,108,114,136,199,196,197,196,196,211,209,203,197,198,195,195,192,193,198,197,182,148,122,105,126,142,165,133,120,108,111,130,143,141,141,140,139,209,209,209,203,200,200,201,200,198,203,201,181,140,127,117,114,116,132,140,133,118,118,114,111,111,112,112,110,212,212,207,201,200,199,199,196,200,205,196,168,135,131,136,135,127,117,120,123,127,122,118,120,120,120,120,119,207,204,199,196,196,190,185,183,190,193,180,161,143,140,139,134,127,120,116,114,124,125,122,120,118,117,117,117,196,193,193,188,182,180,172,173,184,179,165,152,142,137,140,139,130,122,121,124,122,124,124,120,120,119,117,117,177,181,174,173,167,167,165,162,162,153,140,130,128,121,121,126,127,127,126,123,120,122,121,119,120,118,117,117,144,145,149,149,152,145,138,131,126,124,123,123,123,122,119,118,120,124,123,121,122,122,122,120,121,118,117,117,133,123,122,123,118,118,122,122,120,123,125,125,124,124,125,123,123,123,123,123,121,120,121,120,121,119,118,118,123,120,113,107,115,122,124,125,125,125,126,125,124,124,124,123,123,124,123,122,121,119,120,120,119,118,117,118,113,104,101,107,118,126,125,124,126,126,125,124,124,125,124,123,123,123,123,122,121,120,119,119,120,119,118,117,134,126,115,112,116,124,125,125,124,124,124,124,124,124,123,122,122,122,122,122,121,120,119,119,119,118,118,118,141,123,115,113,116,124,126,125,124,124,124,124,123,124,123,122,122,122,122,122,121,120,120,119,119,117,118,119
2,166,167,168,168,168,168,167,166,166,164,162,162,161,160,159,159,159,154,153,154,152,150,149,146,145,142,142,140,169,169,170,169,169,169,168,168,168,167,166,165,164,162,160,160,161,157,158,157,154,151,149,148,148,144,142,140,169,169,171,171,170,169,170,170,168,167,167,167,167,166,161,163,163,162,160,158,157,154,150,150,148,147,144,140,172,172,172,173,171,172,173,171,169,170,170,167,163,159,160,157,156,163,163,161,160,156,153,150,149,148,146,142,175,175,175,174,173,174,173,173,171,172,169,179,171,152,155,150,127,132,138,143,146,151,156,155,150,148,148,145,176,177,176,176,176,175,175,175,175,171,184,212,202,194,195,193,170,136,104,87,86,129,143,148,152,150,149,147,177,177,176,177,176,176,177,176,176,164,168,184,176,166,171,179,173,167,138,91,96,131,96,108,160,149,149,148,178,179,179,179,177,178,179,174,180,195,182,187,192,175,154,138,110,122,146,139,160,111,62,129,160,151,150,149,179,181,182,180,180,180,177,181,212,199,187,185,189,184,172,164,125,131,136,110,117,81,105,164,156,155,153,150,181,182,182,183,182,181,178,209,194,140,122,140,155,141,139,181,136,121,138,70,95,122,157,161,157,154,155,152,182,182,183,184,182,182,203,207,156,158,176,181,181,159,156,168,100,71,95,111,167,167,165,166,163,157,155,155,183,182,184,184,184,187,214,182,180,206,209,177,145,129,108,101,118,158,160,170,170,172,159,134,122,147,160,155,184,183,184,185,184,195,199,197,196,176,145,116,77,60,32,90,187,174,177,170,173,132,75,55,53,67,146,159,185,185,186,185,185,197,203,210,170,116,79,51,41,36,22,38,176,175,171,180,123,48,57,69,75,46,125,164,184,185,187,183,181,205,219,185,132,82,48,34,34,30,32,15,86,191,185,150,54,62,77,84,74,82,152,159,184,185,188,181,177,226,211,147,90,62,43,30,33,33,33,32,24,91,160,91,49,85,84,70,102,150,161,158,186,186,188,180,190,232,183,118,76,66,37,27,35,32,33,36,40,19,28,61,64,80,69,100,166,164,159,158,188,187,189,178,191,210,154,102,76,55,27,33,36,43,45,48,54,50,28,63,71,66,71,154,170,164,162,159,186,187,188,177,187,198,147,98,67,46,29,34,44,54,57,63,67,71,50,65,75,63,107,176,166,166,164,161,183,184,188,170,190,201,147,100,66,51,31,36,49,64,70,75,81,86,69,59,77,62,142,174,166,166,163,159,185,185,190,161,191,193,142,104,75,60,40,37,54,73,86,90,94,92,79,62,68,118,169,168,166,163,157,158,186,186,193,164,189,184,137,105,78,67,54,38,60,81,89,92,96,89,72,71,132,171,170,168,164,164,187,208,185,186,191,164,182,181,142,109,85,75,62,41,60,82,87,89,88,84,63,115,181,170,170,167,190,195,232,234,184,186,191,164,179,175,135,107,92,80,64,46,65,75,78,79,77,65,91,165,174,172,165,220,255,217,201,238,190,191,195,170,175,172,130,108,89,77,66,53,69,68,70,71,65,94,165,181,180,167,206,254,238,253,206,203,153,153,159,143,173,169,131,107,84,75,69,64,68,67,64,69,97,149,160,158,145,199,247,248,234,223,246,188,64,66,63,81,189,162,125,96,81,77,75,68,59,67,72,56,60,59,63,46,139,255,244,249,227,206,232,228,65,70,60,119,189,155,124,90,80,78,74,69,59,68,66,56,55,58,45,107,255,244,244,252,218,193,225,228
2,201,200,201,201,201,202,202,201,201,200,200,200,200,200,198,199,198,197,195,196,196,195,198,141,106,110,107,109,203,202,203,203,203,204,203,203,202,203,203,203,201,201,202,198,202,201,201,199,199,196,202,165,108,113,103,111,205,205,206,205,205,206,205,206,206,206,206,204,204,208,199,152,157,190,180,203,202,199,203,181,112,101,90,109,207,207,208,209,208,209,209,208,208,205,208,210,210,185,149,128,112,141,125,178,204,201,202,194,124,88,94,116,210,210,211,211,211,211,212,211,209,215,221,213,154,125,115,111,110,119,114,111,181,209,201,208,144,76,85,108,212,212,213,213,213,212,212,212,213,224,214,168,117,109,107,103,100,106,114,104,177,211,203,210,166,147,124,95,214,214,215,216,215,215,215,210,219,230,165,118,104,99,106,102,95,101,101,121,200,210,206,209,190,154,197,182,217,216,216,216,217,217,216,210,230,215,141,111,103,97,100,104,110,134,166,199,212,210,209,216,171,155,224,202,218,219,218,217,217,218,216,218,234,187,132,109,116,107,108,113,176,218,218,216,211,212,210,218,179,180,218,158,219,220,219,220,219,220,217,231,220,169,122,105,113,107,128,194,220,216,215,216,215,214,213,213,205,191,157,155,221,221,221,221,222,219,221,239,212,165,132,117,107,107,177,231,216,218,217,218,217,216,215,214,215,206,161,208,223,222,222,222,224,220,233,242,201,157,131,126,113,108,197,225,220,219,219,219,218,216,216,217,215,211,205,194,224,223,223,224,224,220,244,233,190,145,125,123,117,129,222,223,222,221,220,219,219,218,218,217,218,212,211,216,224,224,224,225,220,224,249,221,184,145,122,118,114,153,231,222,223,222,221,220,221,220,220,219,218,217,210,194,226,225,226,226,216,238,243,210,174,140,123,119,114,158,233,222,224,223,223,223,222,220,220,220,219,218,222,187,228,228,228,223,224,248,231,200,165,134,122,122,109,181,236,222,224,224,224,224,224,224,224,222,224,222,219,219,228,227,229,217,234,249,223,191,156,132,118,113,106,157,234,226,226,225,227,228,224,211,201,193,189,208,223,219,228,229,230,217,246,242,216,183,151,131,112,109,120,115,163,237,233,230,219,201,187,190,187,178,162,136,206,224,228,231,221,230,250,237,207,173,145,130,103,110,122,127,120,177,205,188,180,189,191,188,171,155,163,163,209,225,231,228,219,247,245,230,195,165,140,123,101,124,130,139,142,136,145,167,190,193,176,144,145,194,225,229,226,223,234,223,237,251,241,221,189,161,137,121,109,135,143,149,148,149,156,171,171,153,143,152,214,234,226,225,225,225,223,232,248,241,233,214,182,150,132,122,119,141,151,152,151,144,145,141,143,178,214,230,230,227,228,227,226,225,222,239,243,237,229,204,169,141,131,122,133,149,154,151,142,132,124,163,221,236,233,229,228,229,228,228,228,227,233,237,236,224,206,179,151,136,130,124,139,148,150,139,127,148,195,236,238,232,231,231,231,231,229,228,227,227,231,231,221,203,185,166,144,134,128,131,137,144,141,121,168,234,239,234,234,234,232,232,233,230,230,229,228,227,230,222,203,183,175,153,138,133,133,135,133,128,131,183,239,237,235,235,235,235,234,234,233,232,232,231,230,229,224,214,187,160,151,133,131,136,134,130,129,166,219,243,235,236,237,236,236,236,235,235,235,234,234,232,232,225,219,204,173,145,128,127,132,135,127,162,209,242,242,236,238,237,237,237,237,236,236,236,235,235,234,233,233,207
11,125,131,136,139,143,146,149,152,153,156,158,159,161,164,165,167,167,169,171,172,172,173,174,174,174,173,173,173,126,132,138,141,145,147,150,151,154,157,159,162,163,165,167,168,169,170,171,173,174,175,175,175,175,175,175,175,127,133,139,143,146,148,151,154,156,158,160,164,166,167,168,168,173,174,173,175,176,176,176,176,176,175,176,176,128,134,139,143,147,150,152,154,157,158,162,164,166,168,169,170,155,169,175,176,177,176,177,178,177,177,178,177,129,134,139,143,147,150,152,155,159,161,164,166,167,169,169,178,129,131,182,176,177,177,179,179,179,178,178,178,129,134,140,145,148,151,153,156,159,163,166,167,168,170,169,186,132,118,184,176,179,179,179,179,179,178,178,179,130,135,140,145,150,151,154,156,159,163,166,168,169,171,171,190,112,130,185,177,179,180,181,181,180,180,179,179,131,137,141,146,150,151,154,157,160,164,166,168,170,168,179,188,106,146,186,179,181,182,181,182,181,181,181,180,131,137,143,146,150,153,155,159,160,163,166,168,169,170,191,163,101,161,184,180,182,182,182,182,181,182,181,181,132,138,144,147,150,153,156,159,161,164,167,168,168,169,189,122,103,178,181,180,181,182,182,182,182,182,182,181,132,137,142,148,152,154,156,160,164,164,163,176,186,130,125,106,121,187,178,181,182,182,183,183,182,183,182,181,133,137,143,147,150,154,161,159,149,182,161,130,159,128,95,93,155,186,180,182,183,183,183,183,183,183,183,182,132,138,144,146,158,189,189,168,103,145,159,98,129,125,87,89,177,181,181,183,184,184,184,184,184,183,183,183,133,138,143,152,184,160,174,170,102,134,140,97,154,118,72,109,189,180,182,183,183,183,185,185,185,184,183,182,134,139,140,165,162,135,152,164,100,133,120,104,152,102,65,130,190,180,182,182,183,184,185,185,185,185,184,182,134,140,144,181,152,115,127,150,91,122,102,113,133,90,65,142,189,180,181,182,185,187,187,185,184,185,185,183,135,136,160,188,153,120,127,112,87,116,84,120,120,78,57,146,192,181,184,182,177,172,175,188,189,185,185,185,136,135,183,181,149,125,113,100,102,109,66,143,100,61,70,116,179,176,172,167,159,152,134,136,177,190,185,185,135,140,196,173,147,130,109,90,124,94,49,106,92,99,123,122,147,167,173,167,152,132,124,114,107,182,187,185,134,143,190,173,156,139,116,105,116,122,135,142,155,156,146,152,165,154,136,126,122,139,159,150,130,179,188,186,134,142,183,175,162,147,123,123,148,172,163,160,158,154,138,133,130,109,132,163,182,191,192,190,191,188,187,186,133,142,194,178,162,147,124,130,161,167,151,159,153,141,110,99,117,162,191,190,187,185,186,187,187,188,188,187,132,151,202,165,152,133,123,132,152,152,152,149,133,99,90,141,184,189,185,186,186,187,188,189,188,188,188,188,127,164,181,141,139,130,131,135,134,140,141,119,86,102,164,187,182,183,185,185,186,187,188,188,187,188,189,187,126,171,175,144,138,147,137,138,124,123,112,82,125,178,181,177,180,182,182,182,183,185,186,186,186,184,185,186,129,182,182,145,138,163,142,130,112,102,84,137,181,175,175,177,179,181,181,182,183,183,184,185,186,199,203,206,135,189,184,139,139,165,139,119,100,76,120,178,169,174,176,177,179,179,181,182,182,183,185,184,206,215,215,202,135,190,184,134,141,162,137,119,88,76,160,169,170,173,174,176,178,179,180,182,182,183,184,184,176,149,188,201
19,152,154,156,158,159,162,163,164,164,165,165,165,166,167,168,168,168,168,168,168,169,167,168,169,167,167,167,166,154,156,160,162,163,165,166,167,167,168,167,168,169,170,171,172,171,170,171,172,172,171,171,172,171,171,171,169,157,160,163,165,167,168,169,170,171,171,171,172,172,173,176,173,173,174,174,174,174,173,173,173,172,173,172,172,161,163,166,169,170,171,171,173,173,174,173,177,173,138,152,181,175,177,177,177,177,176,177,176,176,176,174,173,163,166,169,171,172,173,173,175,176,177,175,186,178,137,112,181,179,179,179,179,179,178,179,180,179,179,178,177,165,168,171,173,175,176,177,177,178,179,178,190,182,149,97,168,189,186,185,183,182,182,181,182,181,181,181,180,168,171,173,176,177,179,180,181,181,182,182,190,183,145,98,153,168,165,181,182,183,186,188,186,186,184,183,183,171,174,175,178,179,180,182,183,186,188,185,188,175,161,169,175,155,129,152,153,148,156,161,180,179,184,185,184,173,176,178,180,182,183,184,186,184,181,182,179,180,181,175,164,152,125,136,156,154,151,140,160,143,171,191,186,176,178,180,182,184,185,186,183,159,158,165,168,168,163,160,163,157,124,106,127,132,128,124,125,149,186,190,188,177,180,182,184,186,187,191,173,153,151,151,155,159,164,162,162,157,113,162,185,178,173,175,181,194,193,191,190,178,181,184,185,188,189,194,170,168,155,142,144,150,153,149,145,145,116,171,204,197,200,200,198,195,195,193,192,180,183,185,188,190,191,189,192,188,155,134,140,144,153,159,153,146,122,137,205,195,196,197,197,197,196,196,195,182,185,187,189,191,193,188,193,197,173,150,128,128,139,143,135,131,107,140,207,196,199,198,199,198,197,197,196,183,186,189,191,192,194,191,184,193,198,163,135,133,140,141,129,120,100,168,209,200,202,201,200,200,199,197,197,184,187,190,192,195,195,189,193,194,185,151,142,139,137,130,116,107,97,184,207,204,203,201,202,201,200,199,200,187,188,192,195,196,195,191,198,195,176,154,140,143,124,98,80,90,113,205,203,205,205,203,203,203,202,201,201,188,190,194,195,198,196,193,198,191,168,142,145,163,113,77,69,85,152,211,202,204,205,205,204,203,203,201,202,189,192,196,197,200,199,190,196,188,164,140,157,151,99,71,76,127,204,205,204,206,206,206,206,204,204,203,203,190,193,197,199,200,201,190,190,184,157,144,165,139,102,86,75,171,215,204,207,207,207,207,207,206,206,205,204,192,194,197,200,202,202,186,181,177,158,164,170,134,100,92,88,191,212,208,209,208,208,208,208,208,207,207,206,193,195,198,200,201,203,185,178,178,169,173,162,124,98,89,114,214,207,210,209,209,209,209,209,208,208,208,207,194,196,198,200,202,204,179,179,180,171,166,145,114,97,88,158,219,207,209,210,210,210,210,210,209,209,209,208,195,197,199,202,203,204,177,183,174,157,151,127,107,96,107,204,212,210,210,212,212,212,212,211,211,211,211,210,196,198,199,202,205,203,177,183,172,152,136,110,106,94,154,221,211,213,212,213,213,213,212,213,213,213,213,211,197,199,200,202,207,201,180,198,179,152,126,102,100,85,177,220,212,214,213,214,214,213,213,212,212,213,213,212,197,199,202,203,208,194,183,197,169,142,117,102,90,106,211,214,213,213,214,215,215,214,214,213,213,213,213,212,195,197,202,203,209,186,187,185,147,128,114,107,80,144,225,211,213,213,214,214,214,214,214,213,213,214,214,213
4,185,185,185,186,186,186,186,186,186,185,186,186,185,185,185,184,182,179,180,180,179,178,175,174,173,172,171,170,187,187,189,189,189,190,189,189,189,188,188,189,191,188,186,186,187,189,185,182,180,178,178,177,176,174,174,171,193,192,193,192,192,193,192,192,192,193,192,189,186,194,192,182,149,137,182,189,188,186,181,180,180,179,177,175,195,195,194,195,195,194,194,194,194,193,192,174,142,145,191,185,147,94,123,186,142,154,187,182,182,181,179,177,198,197,197,198,198,197,196,197,197,196,201,204,172,133,119,178,170,124,76,142,133,79,140,196,181,183,182,181,199,198,200,200,200,200,199,200,198,191,186,190,200,171,112,112,178,147,78,112,146,85,74,193,185,186,184,183,202,201,201,202,202,203,202,204,193,178,175,121,147,169,95,71,173,146,78,88,149,106,59,187,189,187,186,184,204,204,204,204,204,204,204,204,197,192,182,120,91,144,84,63,148,108,52,113,155,114,74,196,192,190,189,188,205,205,206,205,206,207,206,207,187,136,170,140,84,119,125,61,108,91,36,123,122,67,95,208,192,193,193,191,207,206,208,208,208,208,207,207,204,136,117,172,122,96,159,71,80,114,108,114,71,24,124,211,194,196,194,193,209,208,207,209,209,208,206,210,190,114,82,159,128,148,157,131,135,134,169,130,58,29,172,205,197,198,196,194,209,209,210,210,209,209,208,212,190,158,154,117,57,171,157,143,155,139,152,119,68,58,204,201,200,200,198,195,211,210,210,210,211,211,211,210,205,186,138,91,49,87,127,113,117,113,105,104,91,55,168,212,200,201,199,197,211,211,212,212,212,212,210,208,206,171,120,77,64,61,85,98,98,92,80,119,110,75,79,210,203,202,202,200,213,213,213,212,213,214,212,209,196,148,104,72,69,93,100,137,148,142,118,128,129,118,54,143,218,200,203,201,214,215,216,215,215,215,212,205,197,162,121,82,84,94,124,174,173,191,174,142,177,145,77,73,214,204,204,202,216,217,216,217,216,217,215,202,198,166,123,79,79,105,148,187,188,202,208,183,163,143,73,66,212,206,205,203,217,217,217,217,217,218,217,195,195,179,133,89,88,108,152,197,199,208,196,176,151,110,49,109,223,205,206,204,217,217,217,217,218,218,218,189,194,189,142,107,99,103,164,205,210,209,185,160,137,88,39,174,219,207,207,206,218,218,219,219,219,219,222,189,186,191,155,116,102,109,173,212,210,199,175,148,127,65,67,218,210,210,209,207,218,218,219,220,220,219,223,194,170,178,155,120,103,117,185,208,196,186,161,131,109,46,130,227,208,211,209,209,218,218,218,220,219,219,223,212,166,178,163,124,116,124,191,196,184,172,145,114,82,46,197,221,213,211,210,210,216,217,217,219,218,218,218,222,181,177,170,142,139,119,186,184,180,154,125,100,48,98,229,212,214,212,209,209,217,217,218,219,218,218,218,224,200,171,171,158,139,109,162,172,168,138,102,73,38,187,219,210,211,210,209,208,218,217,219,219,219,219,219,223,210,178,167,149,132,110,138,149,134,104,75,30,119,230,212,213,212,211,210,209,218,219,219,220,219,220,220,223,213,186,171,148,127,113,124,136,108,76,44,51,212,219,216,215,213,212,211,209,218,221,220,220,220,219,221,224,200,188,172,153,136,128,121,129,111,73,28,130,234,214,218,216,212,212,210,211,218,218,219,219,220,219,222,220,182,187,177,167,163,146,130,120,102,62,40,185,226,217,216,216,214,212,212,201
4,137,141,145,148,151,153,155,157,158,160,159,161,163,165,166,165,164,163,164,163,163,164,162,162,162,161,161,161,137,142,146,149,151,152,154,157,159,160,161,163,164,164,165,167,167,163,168,168,165,164,163,163,163,163,163,162,139,144,147,150,152,153,156,158,159,162,162,164,163,174,171,148,153,179,158,153,169,167,165,166,165,163,162,162,140,146,148,150,153,156,157,159,161,159,169,161,167,204,168,146,131,195,155,122,141,171,168,168,166,166,163,163,142,146,148,152,154,156,158,161,158,182,210,177,149,205,177,142,154,200,160,116,108,168,134,164,169,165,165,164,144,147,150,153,155,158,160,162,157,208,226,204,128,168,196,130,167,207,157,106,164,159,101,110,172,164,164,165,143,148,153,154,158,159,161,160,172,212,213,191,119,153,197,127,168,193,144,153,181,125,99,72,152,171,165,166,145,149,153,155,159,160,163,156,194,197,194,180,106,134,171,173,169,178,201,217,164,97,82,71,151,172,166,167,146,149,153,157,160,161,164,158,207,189,178,181,105,107,158,169,192,205,215,198,172,121,75,68,162,171,168,169,145,150,155,158,160,163,161,176,219,187,156,177,110,86,154,103,137,176,182,168,181,140,85,77,171,171,170,169,146,151,154,157,159,165,158,202,206,161,146,130,85,91,159,83,118,164,136,169,191,154,95,103,178,171,171,170,148,152,155,160,161,163,164,219,193,148,130,125,100,103,122,91,112,159,75,176,211,171,112,104,181,171,172,171,150,152,156,160,162,162,170,230,194,149,123,109,95,107,101,113,119,138,120,174,221,185,131,81,160,177,172,172,150,153,158,160,165,161,182,235,193,149,119,103,99,111,111,151,149,173,201,184,198,179,135,86,121,183,172,174,149,154,158,160,166,161,196,237,193,142,120,117,107,101,114,157,172,202,193,194,164,152,144,100,114,184,173,175,149,155,159,162,166,160,205,234,192,140,139,137,110,107,151,194,207,200,192,178,146,121,132,93,140,183,176,175,149,153,157,160,164,160,211,231,190,160,171,145,128,176,212,222,205,199,185,158,131,108,98,94,172,176,175,175,149,153,157,159,165,161,215,230,204,191,187,148,155,214,219,228,209,184,168,144,123,103,79,137,184,174,175,175,150,154,158,161,166,162,214,233,218,196,185,165,159,218,222,223,200,162,153,134,119,90,96,178,177,177,177,177,150,154,158,161,167,161,207,235,221,200,180,168,170,222,219,204,183,151,136,127,109,79,145,185,178,177,177,177,151,156,159,162,167,161,195,234,211,199,181,170,176,206,200,180,161,139,133,121,86,101,183,180,181,178,178,177,151,156,159,162,167,162,194,224,197,191,189,174,173,187,185,167,143,132,131,107,79,158,185,178,179,179,177,176,150,153,159,161,167,162,189,213,184,190,191,170,163,186,182,163,133,120,120,87,124,187,179,179,177,178,177,175,151,156,161,164,169,166,184,208,185,188,183,166,153,184,184,148,115,110,102,107,182,185,184,184,183,182,182,181,123,125,126,126,129,124,150,220,197,194,178,169,148,174,176,130,106,104,89,108,131,125,125,125,123,123,123,126,87,84,83,84,86,79,108,229,212,201,186,179,150,164,175,129,102,93,88,80,78,77,76,75,74,76,74,70,95,95,94,95,98,95,103,221,219,199,187,183,149,147,180,134,98,87,84,88,89,88,86,85,86,84,81,150,95,96,95,96,97,96,92,208,219,193,177,179,151,136,172,131,94,85,82,88,89,89,86,86,88,76,156,216
2,172,173,174,176,175,176,176,177,177,176,175,175,174,174,174,174,173,172,171,168,167,167,165,163,161,159,158,157,174,175,176,177,178,178,178,179,178,177,177,176,177,177,177,176,175,175,174,172,169,168,166,164,164,162,160,158,177,178,179,179,179,180,180,180,180,179,179,179,168,160,163,161,153,147,140,153,174,169,167,166,165,164,162,160,178,179,179,180,181,181,181,181,182,181,181,171,151,145,148,148,137,116,100,91,135,170,171,167,166,165,163,161,180,180,181,182,183,183,183,182,184,184,175,153,150,153,145,146,147,108,102,111,116,118,143,168,168,167,165,163,181,182,183,184,184,185,185,185,186,185,177,164,156,139,127,124,115,73,77,99,106,80,80,161,171,168,165,163,182,182,184,185,186,187,187,188,188,182,176,168,150,122,99,85,99,132,150,125,104,85,119,172,171,169,166,165,183,184,186,186,186,189,189,190,185,166,164,148,116,69,52,98,184,186,184,183,178,173,177,174,171,169,167,165,185,185,187,187,188,189,191,190,183,163,149,112,71,51,48,144,190,184,182,181,179,179,176,175,173,171,168,166,184,186,188,189,189,190,191,191,181,162,117,66,48,42,82,187,187,185,183,181,180,178,178,178,176,172,170,168,186,187,189,190,191,192,193,188,183,160,109,52,46,39,129,194,187,187,185,183,181,182,173,149,142,166,172,170,187,188,189,191,193,193,193,185,182,153,103,52,55,51,126,195,188,188,186,184,184,175,125,93,84,128,175,170,187,188,190,192,194,194,193,185,178,144,86,57,63,54,138,196,190,189,187,187,180,130,104,100,86,125,177,171,188,190,191,193,194,195,191,187,176,138,88,73,63,53,158,196,191,190,190,186,136,101,106,95,87,163,175,173,188,191,192,193,195,196,189,187,175,142,98,77,60,51,117,199,193,191,192,150,87,90,97,79,128,181,176,174,189,192,192,193,195,198,188,185,173,140,102,77,60,59,63,114,174,195,156,106,85,82,81,84,176,179,176,174,190,192,194,195,195,197,188,183,167,138,109,76,60,61,66,67,90,121,90,90,96,80,77,156,183,179,178,175,192,194,195,196,197,196,186,182,168,138,103,74,59,61,66,73,78,75,75,86,81,86,164,187,181,180,178,175,191,194,195,196,198,196,183,187,177,135,103,79,59,63,68,72,80,83,75,80,81,168,189,183,181,181,178,176,193,194,195,196,197,193,182,193,173,130,101,79,60,63,69,73,80,86,76,63,153,193,185,183,181,180,179,177,193,195,196,198,198,190,185,191,164,123,101,83,61,63,73,78,81,81,67,125,192,189,186,185,183,181,180,179,193,195,197,198,200,188,186,185,156,119,102,83,62,65,76,81,82,70,86,192,192,189,188,187,184,182,180,179,194,195,197,198,199,186,187,176,146,120,104,82,62,65,79,78,74,56,153,198,192,190,188,187,185,184,181,180,194,196,198,199,200,184,180,163,138,116,98,79,61,65,77,72,56,110,199,195,193,191,189,187,186,184,182,180,194,195,197,199,197,184,172,158,134,113,95,76,62,66,71,57,95,193,197,194,192,191,189,187,186,184,182,180,194,196,197,199,195,182,163,151,126,107,90,75,62,60,53,100,191,201,196,195,194,192,191,188,186,185,183,180,194,196,198,198,195,178,160,147,123,103,85,70,53,69,146,198,201,198,196,196,194,193,192,188,187,185,183,180,194,196,197,195,193,174,157,143,124,99,80,61,52,162,209,200,198,199,196,196,193,191,191,188,186,184,182,180
1,137,137,138,138,139,140,140,139,140,140,139,139,138,139,138,135,135,137,134,131,130,129,128,127,126,124,122,120,142,142,141,142,142,143,143,143,143,144,142,143,142,141,141,142,138,125,136,135,135,134,133,130,129,127,124,123,146,146,146,145,146,147,147,147,148,147,146,147,146,145,141,134,150,86,114,151,136,137,135,134,133,129,128,127,151,150,149,150,150,150,150,150,150,150,150,151,149,148,154,94,130,94,76,124,142,140,138,136,135,133,131,130,154,152,152,152,153,154,154,154,154,154,154,154,152,153,157,79,125,89,33,61,121,148,140,140,138,136,134,132,156,156,156,155,156,156,156,157,157,156,157,158,158,160,144,69,136,69,60,86,90,155,141,142,142,139,136,135,158,159,159,159,159,159,161,160,158,157,159,154,125,160,131,74,151,70,82,98,75,157,144,145,143,142,140,137,163,162,162,163,164,163,164,163,163,162,161,155,83,139,130,91,146,58,94,107,77,159,148,149,146,144,143,141,164,165,164,165,167,164,164,164,165,164,164,151,75,141,101,110,132,54,120,114,78,160,151,151,149,147,146,143,168,167,168,167,167,167,166,166,167,166,171,138,75,147,86,127,131,69,144,101,76,163,152,153,152,150,149,146,170,170,170,170,171,171,170,171,170,169,172,127,70,158,89,129,136,68,140,99,82,166,154,155,154,153,151,148,171,171,172,172,172,173,173,172,171,172,174,106,73,164,76,115,121,52,143,108,92,169,158,157,156,155,153,150,174,173,173,173,173,173,174,174,174,173,176,105,75,150,52,111,106,52,152,99,90,172,160,159,159,157,155,152,175,175,175,175,175,177,176,176,175,177,169,90,82,134,96,128,128,82,103,84,94,174,162,162,160,158,155,154,177,178,178,178,177,177,178,177,177,177,153,120,124,97,111,113,115,111,88,71,71,168,165,165,164,161,159,157,178,179,179,179,179,179,179,179,178,175,161,132,96,80,86,108,122,98,89,106,61,144,174,165,165,162,159,158,180,180,181,180,180,180,180,181,179,179,158,107,73,80,86,122,127,103,142,141,73,112,181,165,165,163,161,159,180,180,181,181,181,181,182,183,180,174,154,103,69,91,98,130,139,152,113,142,111,87,178,168,168,166,165,162,181,182,183,183,183,183,184,184,182,167,161,118,65,80,115,137,146,162,129,124,110,59,166,172,170,168,166,164,184,183,184,185,185,185,185,186,180,163,167,131,81,69,115,141,149,148,131,112,70,41,168,174,171,169,167,165,185,185,186,186,186,186,186,188,183,158,164,134,94,68,107,158,164,159,124,95,48,75,186,172,173,171,169,167,186,186,187,186,187,187,187,188,185,155,149,133,102,80,118,171,161,149,110,79,33,138,186,172,173,172,170,167,185,186,186,187,187,187,187,188,188,162,150,134,112,92,131,166,152,129,95,56,54,183,177,176,173,173,172,169,183,185,186,185,186,186,187,187,191,170,146,143,126,96,131,155,140,108,76,28,110,191,176,176,174,173,172,170,184,185,186,186,186,187,187,187,189,178,147,146,129,103,119,130,109,82,41,38,175,180,177,175,173,171,170,167,185,185,186,187,187,188,188,187,191,176,153,147,127,107,109,113,84,52,21,140,187,177,178,176,173,172,169,167,185,185,186,187,187,187,187,188,191,164,159,147,139,122,101,94,61,21,129,195,178,180,178,178,175,175,178,167,185,185,186,188,187,187,188,190,183,150,165,152,148,119,96,70,27,65,194,181,183,180,179,177,176,160,130,75
20,154,155,156,157,157,157,158,157,158,159,158,157,157,157,156,154,155,153,151,150,149,147,145,144,143,141,140,138,157,158,158,160,160,160,160,160,161,161,161,160,160,159,157,155,157,156,154,153,151,150,147,146,144,142,141,140,162,162,164,163,163,164,164,163,164,164,164,164,164,167,162,120,156,159,157,156,155,153,151,150,148,145,144,143,165,166,168,167,167,167,168,168,168,168,168,168,167,171,169,106,127,144,160,158,157,156,155,153,152,149,147,146,169,170,171,171,172,171,172,171,171,172,172,172,172,174,169,102,87,104,151,163,161,159,158,157,154,152,150,148,173,173,174,175,175,176,176,175,175,175,176,176,175,179,167,92,109,120,125,167,165,163,162,161,158,156,154,152,176,177,177,178,179,179,179,179,179,179,180,180,178,184,167,94,131,137,105,170,169,167,165,164,161,159,158,156,180,181,181,182,182,183,183,183,183,183,184,183,181,194,169,102,136,145,101,170,172,171,169,168,165,163,161,159,184,184,184,185,186,186,186,185,186,187,187,185,184,201,156,96,148,160,104,166,176,174,173,172,169,166,164,163,187,187,187,187,188,189,188,188,189,190,190,188,187,205,147,99,165,160,102,163,179,177,176,174,173,170,167,166,190,190,190,191,192,192,192,192,191,192,191,177,166,188,153,108,174,160,99,159,182,179,178,177,175,173,171,170,193,194,194,194,194,194,195,195,195,195,195,199,187,161,136,107,151,162,113,157,183,182,181,179,178,175,174,172,195,196,196,196,198,198,198,197,197,197,196,183,191,177,149,126,133,157,118,150,186,184,183,182,180,177,176,174,197,198,199,199,200,199,200,199,200,200,199,173,131,165,177,123,92,116,105,139,188,188,186,184,183,180,178,176,200,200,201,200,201,201,201,202,201,202,201,180,90,137,171,133,88,76,83,126,191,189,188,186,185,182,179,177,201,202,202,201,202,202,202,203,203,203,203,178,100,111,160,158,114,96,74,109,193,192,190,188,187,185,182,179,203,203,203,203,203,203,204,204,204,201,194,176,135,99,97,143,139,118,81,89,194,193,192,190,188,186,184,181,204,204,204,205,205,206,206,206,205,200,191,179,162,127,88,113,135,123,88,75,191,196,195,193,190,188,186,183,206,207,207,207,207,207,207,207,201,189,153,143,163,146,102,95,122,149,116,75,172,199,196,194,193,191,187,185,208,208,208,208,208,208,210,209,198,191,161,103,112,144,92,77,102,155,141,91,116,199,198,196,194,192,190,188,209,209,210,210,210,211,211,211,199,185,153,112,78,115,87,75,124,172,167,109,78,192,201,198,195,194,192,189,211,211,211,212,212,212,212,212,200,192,178,135,86,102,109,100,176,190,161,106,79,193,201,200,197,195,193,191,212,213,214,214,214,214,214,214,200,193,189,138,105,108,159,176,201,173,146,86,97,201,202,201,199,195,193,191,214,214,215,216,216,215,215,216,202,190,186,151,116,111,186,208,193,155,128,76,134,203,202,201,200,197,194,193,215,215,215,216,216,216,216,217,203,180,174,154,120,109,181,193,173,138,108,72,169,205,203,202,201,199,195,195,214,214,215,215,215,216,216,217,208,179,172,154,128,116,176,186,160,123,91,76,195,205,203,202,200,199,197,195,215,215,216,216,216,217,217,217,216,185,170,158,139,118,167,176,145,104,72,118,206,205,203,201,200,197,186,144,216,216,217,216,216,217,218,219,219,193,177,159,137,115,139,149,115,81,60,176,207,206,204,201,191,149,97,55
23,120,123,124,129,134,139,142,145,148,150,152,154,155,158,159,160,161,160,161,161,160,160,159,159,157,157,156,157,121,125,125,130,136,139,144,145,147,151,153,155,157,158,159,161,162,161,161,161,161,161,160,160,160,159,158,158,121,125,126,131,137,140,144,146,149,152,154,156,159,159,160,162,163,162,160,161,163,162,160,161,161,161,160,159,122,126,127,132,137,141,145,148,150,154,155,158,160,162,162,162,162,162,162,164,166,166,167,164,161,160,160,160,123,126,129,133,139,143,147,150,152,156,157,159,160,162,164,164,165,165,164,165,162,145,140,155,165,163,162,161,125,127,129,135,140,145,149,152,154,156,159,159,161,162,164,167,167,165,164,162,155,143,134,125,148,151,165,161,125,127,128,135,140,146,149,152,154,157,160,161,163,165,166,166,168,172,158,165,159,121,145,138,105,80,167,163,125,129,132,137,141,146,150,153,155,159,161,163,166,167,169,167,175,170,127,136,104,54,104,90,76,128,169,163,127,131,133,137,143,147,151,155,158,160,163,165,166,168,168,174,174,165,103,45,94,137,170,155,163,173,167,167,128,132,134,138,144,147,151,154,158,161,163,164,166,169,169,180,169,166,102,77,187,171,173,173,171,168,168,167,129,131,135,139,144,150,153,156,159,161,164,166,167,166,167,173,160,162,141,141,159,132,111,167,171,169,169,169,130,132,136,141,146,151,155,158,160,163,166,167,172,156,152,149,161,167,168,176,162,136,50,132,182,169,170,169,131,133,136,141,147,151,156,158,160,164,166,174,176,152,131,131,138,136,129,145,139,124,51,116,185,169,170,170,132,133,135,143,148,152,156,159,161,165,166,178,169,140,111,101,142,152,142,128,108,113,60,106,187,171,172,171,133,134,136,143,149,153,157,160,164,165,171,183,170,138,115,111,122,141,147,154,136,97,45,95,187,172,173,173,133,134,138,144,150,154,157,162,165,165,180,184,172,155,153,152,133,109,98,111,122,94,26,103,192,172,174,174,134,135,139,146,151,155,159,164,166,168,186,183,172,154,154,142,156,136,110,98,70,57,27,97,175,177,175,174,133,135,140,146,151,155,160,163,165,182,188,189,165,140,136,103,152,154,122,92,60,35,61,104,121,189,174,176,133,135,140,146,151,156,162,159,177,196,188,179,134,91,95,77,82,129,135,81,44,40,67,92,52,127,187,175,135,137,141,146,152,159,157,171,199,196,181,156,132,92,48,57,76,164,152,71,43,39,66,63,32,31,169,180,136,137,140,147,152,155,165,197,199,187,169,144,130,99,41,77,137,158,121,54,37,33,64,55,43,22,138,188,136,138,140,147,153,153,195,202,190,174,153,149,128,85,38,34,68,87,70,32,29,52,61,55,30,58,169,181,136,139,141,148,149,172,208,196,186,167,152,143,112,82,53,25,30,39,46,43,36,65,61,44,83,170,185,179,135,135,145,150,157,206,195,189,176,156,143,128,101,74,45,41,63,70,66,61,47,40,63,129,189,184,180,181,134,137,126,118,195,202,184,177,161,145,131,114,87,63,40,56,76,78,71,53,39,92,175,190,181,181,181,180,133,144,65,23,187,198,174,161,143,128,115,100,76,57,46,65,70,64,38,49,143,191,186,180,182,181,181,181,138,118,36,24,57,142,163,144,133,121,109,91,71,48,45,59,54,32,61,162,194,182,183,183,182,182,181,181,139,64,21,29,23,33,82,105,106,102,90,81,53,25,25,36,38,86,177,193,182,185,185,185,184,182,182,182
10,102,113,133,159,170,180,186,188,191,195,196,199,199,201,201,201,199,199,198,195,197,196,189,188,187,186,182,178,103,114,135,161,173,183,187,191,194,197,199,201,201,202,203,204,204,202,200,202,181,179,196,191,189,186,185,180,104,117,137,162,175,184,189,193,196,200,202,204,205,206,206,206,206,206,203,212,161,119,200,194,193,189,186,184,106,118,139,165,177,185,193,195,197,201,205,206,207,209,210,209,209,209,206,214,167,108,193,199,195,193,189,187,109,119,141,166,179,187,195,197,199,203,207,208,210,211,212,213,212,211,209,216,162,103,189,205,198,197,193,190,110,121,143,169,180,191,198,199,202,206,209,210,213,213,214,216,216,215,213,218,162,102,191,208,202,201,197,194,112,123,145,171,182,193,199,201,202,208,212,213,215,215,217,219,217,217,214,224,172,105,190,211,203,203,200,196,113,123,146,171,184,193,199,201,205,211,216,215,216,218,219,221,221,218,218,225,165,99,190,214,205,204,201,198,114,124,148,172,185,194,200,203,206,212,216,216,220,220,221,222,225,223,225,201,123,93,193,216,208,207,203,200,115,125,149,172,185,195,201,204,208,214,217,220,221,222,222,223,219,205,229,178,86,102,204,217,212,208,205,201,116,127,151,173,186,195,202,206,209,215,219,221,222,224,228,230,214,171,158,144,90,85,214,215,213,210,206,203,117,128,152,173,187,197,204,206,211,217,221,222,224,224,206,215,229,206,148,88,93,77,192,221,213,211,207,205,118,129,154,174,187,198,204,208,212,218,222,224,229,220,164,130,129,167,107,75,97,72,146,232,212,213,210,207,119,130,156,174,188,199,205,209,213,218,223,220,210,227,190,141,47,56,56,109,115,67,133,233,214,214,212,208,120,131,156,175,190,200,206,210,214,218,226,209,154,168,214,159,75,50,55,139,167,82,122,232,216,216,213,210,119,131,159,175,190,199,207,211,216,219,227,219,194,142,191,172,107,50,63,140,192,105,107,231,219,217,214,211,120,132,159,176,191,200,208,212,216,222,226,195,204,163,152,169,113,47,80,168,190,118,86,219,222,217,214,212,121,132,158,176,191,200,207,212,217,221,232,194,158,148,102,156,128,74,123,189,168,113,82,216,224,219,216,213,121,131,159,178,191,200,209,212,217,222,228,200,152,133,108,145,179,117,146,194,134,90,97,229,224,221,216,213,121,133,160,178,191,201,209,212,217,223,225,226,191,135,127,129,175,117,148,178,125,71,117,236,220,220,218,214,120,134,161,176,190,202,211,213,218,223,222,229,207,166,135,118,175,177,173,154,122,62,138,242,222,221,220,217,117,133,160,175,190,201,208,211,216,222,223,217,205,181,156,137,193,217,176,139,113,59,163,239,222,219,216,215,116,130,158,173,188,199,207,209,215,220,226,206,195,184,170,151,185,204,164,126,101,56,189,233,221,218,214,214,115,128,158,171,187,198,206,209,216,220,225,222,195,190,177,151,171,188,150,113,78,70,221,224,220,219,215,213,110,124,154,167,184,195,204,208,213,218,222,227,208,185,168,146,146,161,131,102,57,127,238,221,221,218,216,214,126,140,165,178,192,202,209,213,217,222,226,229,229,193,160,141,135,148,137,100,59,186,230,218,217,213,210,208,160,164,169,168,161,160,160,158,158,157,157,150,167,205,168,165,152,148,142,94,68,121,127,123,121,120,120,110,118,116,116,116,116,116,118,118,120,118,118,115,129,211,190,181,158,147,125,89,67,102,104,102,100,92,53,29
24,124,126,129,130,131,131,133,132,133,133,132,133,132,132,132,130,129,129,128,128,127,124,123,123,122,120,119,119,126,128,131,131,132,132,133,135,135,134,134,134,134,132,132,132,131,130,131,131,128,127,126,126,125,123,122,120,127,129,131,133,134,134,135,136,138,136,136,137,137,136,135,134,133,133,132,131,131,129,127,128,127,125,124,123,128,130,132,134,136,136,136,138,138,137,137,138,138,138,136,136,135,134,132,132,131,131,130,129,127,126,125,125,130,131,133,134,134,133,138,140,139,139,139,138,139,139,137,135,135,134,134,134,132,132,131,130,130,128,127,126,131,132,135,133,147,120,96,145,139,140,140,140,139,139,138,137,137,136,134,134,134,134,133,131,131,130,129,127,132,133,137,134,156,99,80,147,139,141,140,141,140,140,139,138,138,137,135,135,135,134,133,132,131,130,130,129,132,134,136,138,152,77,94,148,140,142,142,142,144,141,139,139,138,137,137,136,137,135,134,133,133,132,131,130,134,136,137,143,150,76,104,150,142,143,142,140,137,144,142,140,140,139,138,139,137,136,135,133,133,133,132,131,136,137,138,147,149,74,108,156,143,143,149,147,116,88,141,143,140,140,139,139,140,139,140,137,133,133,133,132,137,138,138,149,136,92,113,124,147,110,111,149,132,86,70,142,143,141,142,140,130,118,110,130,138,135,135,134,137,141,140,152,146,152,145,117,162,116,73,138,143,98,36,92,150,141,138,120,83,68,53,84,144,137,136,134,138,142,141,152,151,171,146,139,162,130,69,132,138,87,37,57,143,140,133,93,56,58,83,112,140,137,137,135,140,143,143,153,145,178,151,150,169,125,53,94,103,62,20,32,122,141,116,71,54,123,144,141,138,138,137,137,141,146,143,157,173,175,143,152,176,113,60,8,59,93,67,77,119,119,84,56,109,152,141,141,141,140,139,137,141,146,145,162,168,156,124,110,143,86,44,41,128,145,131,121,117,90,55,80,149,143,145,143,143,141,140,138,142,144,150,160,135,139,114,75,71,74,118,164,159,140,126,107,98,81,56,135,148,145,146,145,144,142,140,139,144,143,154,174,146,133,119,102,68,163,179,165,155,138,111,94,81,68,97,154,146,147,145,145,145,142,141,141,145,142,161,179,156,134,118,128,169,186,167,162,150,125,99,78,75,69,142,153,148,147,146,145,145,143,142,142,145,143,170,183,161,148,149,175,187,178,170,156,137,111,81,77,59,96,158,150,151,148,147,147,146,145,144,143,146,144,175,184,166,157,172,187,185,174,166,144,119,91,77,68,67,147,153,151,152,150,148,147,146,147,145,144,148,144,175,190,170,159,177,184,170,152,145,125,98,81,69,64,136,158,153,153,152,151,150,149,148,148,146,144,147,145,169,193,173,156,166,169,160,136,123,105,83,72,67,135,161,154,155,154,153,152,151,151,149,147,147,145,148,148,161,176,160,155,170,172,160,137,122,96,72,51,126,165,157,158,156,154,154,154,153,151,149,150,147,146,148,150,155,161,154,163,168,160,156,130,110,85,46,76,164,158,159,157,157,155,155,154,153,151,151,150,147,147,149,151,153,167,176,167,162,150,152,126,101,72,37,122,166,159,160,159,159,157,155,155,153,153,151,149,149,148,149,150,153,179,178,153,160,150,139,119,99,61,48,150,164,161,160,161,160,158,156,156,154,154,152,152,150,147,146,149,151,186,176,143,166,144,129,119,92,63,51,152,162,159,159,160,158,157,155,154,154,153,152,151,150,148
19,144,148,151,155,159,163,165,167,170,172,173,176,176,177,177,178,180,179,178,178,177,175,175,176,175,174,174,174,146,150,153,157,160,164,166,169,171,173,174,176,177,178,178,180,180,178,178,178,178,178,178,177,176,175,175,175,146,150,155,159,162,166,168,170,172,174,177,178,177,179,180,180,181,181,180,180,179,179,179,179,179,178,178,176,146,151,156,160,164,167,169,170,173,174,177,178,179,182,181,180,181,181,182,181,181,180,180,179,179,179,179,178,149,152,157,161,165,167,170,172,173,176,178,179,181,180,183,185,182,182,184,184,182,181,181,180,180,180,180,178,149,152,157,161,166,169,172,173,175,178,179,178,187,177,132,167,187,183,185,185,183,183,182,182,182,180,179,178,150,154,158,163,168,171,173,174,177,178,181,178,198,185,112,111,191,184,186,185,183,184,184,183,182,181,180,180,151,154,160,164,169,171,174,177,178,178,182,180,204,192,127,87,178,189,186,185,184,186,186,184,183,183,182,181,152,156,161,166,169,172,173,175,180,183,184,179,198,178,128,79,160,194,186,187,186,188,186,182,181,184,183,182,153,156,162,166,170,171,178,181,149,136,154,165,154,145,132,117,130,149,155,148,145,156,136,165,185,169,185,183,153,157,162,166,172,171,190,175,135,133,138,146,153,148,144,135,127,138,159,144,141,148,137,187,194,133,186,185,154,158,164,169,170,182,191,178,149,106,103,106,132,136,138,123,119,123,131,130,127,125,125,142,139,149,191,183,155,160,164,169,172,193,202,187,143,90,81,90,91,92,96,88,87,100,112,115,115,123,130,143,168,188,186,186,154,160,165,167,189,200,203,170,131,101,86,96,99,93,63,100,171,185,188,187,190,196,195,195,194,187,186,186,155,162,163,182,204,202,206,184,140,97,84,83,105,105,83,77,166,202,192,194,194,192,192,190,190,190,188,187,157,160,169,202,202,204,213,194,140,91,80,75,89,110,100,79,69,187,197,193,195,195,193,192,192,191,190,190,159,159,191,205,204,210,210,191,141,94,80,89,85,80,81,95,66,165,204,194,195,196,195,194,193,191,191,190,154,174,207,203,205,208,204,190,151,102,79,76,98,92,71,60,83,194,198,197,196,197,196,196,194,192,192,191,159,199,204,204,205,203,205,200,167,103,81,69,85,97,90,53,139,210,194,197,197,197,196,195,195,194,192,192,192,208,203,205,200,200,207,192,148,107,89,83,79,74,90,66,177,205,197,198,198,198,197,197,196,194,193,193,210,199,204,199,189,188,186,167,129,117,110,98,91,75,60,89,198,200,198,199,199,199,198,197,197,195,194,193,200,198,196,189,187,183,173,160,140,120,107,105,98,86,57,158,211,198,199,200,200,200,199,199,197,196,195,194,194,190,192,186,185,183,173,157,160,140,103,94,100,93,66,175,209,200,200,200,200,200,200,199,197,197,197,196,189,191,191,180,180,180,166,148,149,126,74,72,98,78,113,210,200,202,201,200,200,200,200,199,198,198,197,196,189,194,180,170,169,164,147,125,110,89,55,67,88,82,183,205,200,200,199,199,199,200,200,199,199,197,196,195,190,189,170,149,147,146,121,95,88,77,72,86,113,175,204,198,199,200,200,200,199,200,199,198,198,197,197,196,179,175,163,136,115,114,101,84,79,166,179,184,201,204,198,200,200,201,202,201,200,199,200,199,198,198,197,196,156,164,159,124,83,65,65,47,128,207,198,200,198,199,200,201,203,203,202,202,202,200,200,199,199,198,197,197
0,156,157,157,156,157,158,157,158,158,158,158,160,158,158,158,156,158,158,158,159,158,158,158,159,157,156,156,157,157,157,157,156,158,160,160,161,160,159,156,158,158,158,159,158,159,157,159,160,158,159,159,159,160,158,157,157,158,158,158,159,160,161,162,159,161,162,159,160,162,161,160,161,161,159,159,160,160,159,160,159,160,157,157,157,160,160,160,160,161,162,160,159,155,138,152,163,153,159,163,158,156,163,166,162,164,161,159,160,161,159,158,157,160,162,161,161,162,162,159,165,162,106,67,116,131,112,124,149,137,113,141,155,149,160,164,161,160,161,160,159,160,162,161,163,162,162,163,160,161,109,29,63,141,93,48,112,136,72,47,106,95,81,113,159,162,158,161,160,161,162,162,162,161,160,158,129,147,121,63,49,122,83,35,86,113,62,29,90,91,45,36,95,161,161,161,161,162,163,163,163,162,156,150,121,110,139,101,34,83,85,26,78,102,50,29,101,89,43,43,78,101,172,161,161,162,164,163,164,163,158,149,127,91,99,96,27,69,83,15,66,117,62,24,106,106,48,49,110,64,120,172,161,162,164,164,165,165,158,147,126,92,68,61,33,73,68,4,74,117,49,33,122,116,93,80,88,74,51,163,164,164,164,164,165,164,157,149,141,118,76,54,47,59,47,17,62,89,59,112,129,115,104,81,60,49,43,157,165,164,165,166,166,165,159,155,147,136,111,65,47,41,52,67,65,92,131,141,131,121,95,78,65,40,57,167,165,166,167,167,167,167,160,160,151,143,134,99,52,48,58,66,92,136,145,144,137,123,92,69,61,34,79,178,163,166,166,167,167,166,157,166,158,152,147,125,84,77,70,74,118,142,147,154,142,117,88,66,57,29,120,177,164,167,166,167,168,168,147,164,166,159,155,139,115,105,93,84,120,132,148,158,143,111,83,65,47,50,160,169,165,167,167,168,166,171,149,151,170,169,163,147,131,123,112,99,110,138,154,151,137,102,73,69,38,102,176,165,167,166,168,169,167,171,157,137,167,173,167,154,142,131,123,114,107,125,148,146,128,95,68,65,36,146,174,166,168,167,168,169,168,167,171,128,153,171,171,161,148,140,132,117,107,112,132,132,109,82,66,48,56,171,168,168,167,168,169,170,169,167,176,141,133,168,172,163,143,139,129,116,109,108,120,119,89,69,61,28,108,180,165,168,169,169,169,169,171,172,170,166,124,164,171,153,133,139,125,118,111,96,101,107,80,66,42,58,167,170,167,169,170,170,170,169,171,171,170,170,139,166,170,155,143,150,135,121,107,87,87,93,78,56,37,141,176,170,171,171,171,170,170,170,171,170,170,171,144,167,174,164,149,159,141,120,107,86,79,84,78,37,94,178,167,172,174,172,171,170,170,170,171,170,170,173,137,159,173,169,153,156,137,117,104,89,77,80,74,31,137,176,168,171,173,171,171,170,170,170,170,170,172,175,136,156,175,170,155,147,134,115,102,92,77,73,64,41,157,171,170,171,172,171,171,169,170,169,170,171,171,169,149,162,172,168,157,145,133,118,102,92,79,67,55,52,173,172,171,171,171,171,171,168,170,170,170,171,172,162,155,170,160,163,154,142,131,118,101,90,77,63,52,64,177,169,171,171,171,171,171,169,170,171,172,171,172,159,153,162,160,162,146,134,128,117,101,86,71,61,44,86,175,165,171,171,171,171,171,169,170,171,171,170,173,157,149,159,163,161,145,127,119,113,99,81,62,57,36,114,172,167,172,171,172,171,171
5,62,67,72,77,83,88,92,95,96,99,103,105,107,110,112,111,122,104,106,122,120,122,122,122,122,123,124,123,62,67,72,78,83,88,93,95,97,101,102,107,110,111,113,113,137,88,84,126,121,123,123,123,124,125,125,124,63,68,74,80,85,90,94,97,100,100,109,103,109,114,112,126,130,62,96,127,122,124,125,125,126,126,126,126,64,69,75,81,87,90,95,99,100,102,136,81,92,120,110,144,100,53,116,126,123,126,127,127,127,127,127,127,66,71,75,82,88,90,98,100,98,114,129,64,98,119,123,149,77,71,130,125,126,129,128,128,128,128,129,129,66,72,76,81,94,106,84,103,95,134,102,56,113,115,147,123,64,98,133,127,128,129,130,130,129,131,131,130,67,72,77,78,107,118,62,102,101,146,89,69,117,129,141,79,67,124,129,128,128,129,129,133,131,132,132,131,68,72,79,79,111,132,62,100,111,127,72,87,119,145,123,63,85,134,125,131,148,136,99,127,135,133,133,133,69,73,79,82,106,160,77,86,122,111,67,102,125,151,115,71,109,133,136,147,140,149,101,117,138,134,135,134,69,73,80,87,94,166,131,97,114,119,87,100,138,139,97,76,122,137,158,123,112,150,79,124,138,135,136,135,70,74,81,89,86,152,174,149,116,107,91,93,130,115,86,94,139,150,120,75,110,144,65,119,142,137,137,138,71,74,82,89,92,109,164,171,140,99,79,75,88,86,90,122,146,140,101,61,127,139,66,94,147,138,139,139,70,75,83,89,97,95,121,176,143,107,75,65,67,69,88,126,117,106,78,85,144,125,77,72,143,140,141,141,71,75,84,90,97,103,98,168,153,113,90,70,66,66,79,102,102,77,65,128,150,138,87,74,141,141,142,141,71,76,84,91,98,103,99,166,162,122,106,79,63,64,71,86,88,58,106,144,149,143,94,81,145,143,143,143,72,78,85,93,99,103,102,170,169,134,118,88,64,64,68,86,100,105,128,127,148,141,90,84,147,143,144,145,72,77,86,94,99,105,101,167,172,144,121,86,64,60,73,104,126,134,130,108,114,138,86,92,151,144,145,145,72,79,87,94,99,106,101,162,178,146,122,92,68,58,87,125,131,129,123,102,87,99,74,99,152,144,146,147,73,79,88,96,99,107,100,150,177,145,129,103,75,76,98,121,125,119,110,91,75,74,62,112,152,145,148,148,72,81,90,96,101,106,100,137,174,149,132,108,79,79,108,114,115,101,97,82,72,64,97,145,148,148,149,149,73,81,89,96,102,108,101,139,180,152,122,99,80,68,94,98,99,84,82,74,66,105,149,148,149,149,149,150,73,81,90,96,102,110,100,143,176,136,105,84,74,70,81,89,85,75,71,68,117,151,146,148,150,150,150,150,73,82,91,97,103,111,99,149,169,129,102,79,79,81,76,82,74,68,63,117,152,146,148,149,150,150,151,150,73,83,91,98,105,105,119,155,160,138,110,81,86,89,73,72,66,59,113,151,146,149,150,151,151,151,151,151,74,83,91,100,101,122,170,168,145,122,104,87,87,82,67,64,50,98,151,145,148,151,151,151,152,152,151,152,75,82,92,96,110,161,170,171,160,139,95,79,78,74,65,59,57,139,148,146,150,151,152,152,152,153,153,153,74,82,91,96,153,165,166,157,149,147,132,102,75,64,58,48,71,151,144,147,149,151,152,152,153,153,153,153,74,84,85,127,167,159,159,146,143,131,132,125,93,70,65,56,56,126,146,146,148,150,150,151,153,152,152,153
0,150,151,152,152,153,154,155,154,155,154,154,153,153,154,154,155,155,153,154,154,154,155,155,154,153,154,154,153,152,154,154,153,153,155,156,155,156,154,154,155,155,155,154,154,155,158,155,156,156,156,155,155,155,156,155,155,154,154,155,156,155,155,156,156,156,156,155,155,156,156,165,153,120,130,161,151,152,160,159,158,156,154,156,156,155,155,155,157,159,157,156,157,157,156,159,159,132,124,168,149,119,96,98,114,105,138,155,118,145,160,156,156,155,156,156,157,158,157,157,158,158,159,180,168,134,103,136,155,130,118,57,99,106,88,133,94,126,166,156,158,155,156,157,157,157,159,157,163,146,134,181,166,142,116,130,173,134,124,71,117,118,90,108,100,119,168,158,159,155,157,158,158,158,158,161,186,147,105,142,180,148,123,119,183,147,129,76,130,122,84,82,102,97,171,157,160,157,158,158,159,160,156,173,181,153,129,121,184,156,123,107,182,151,126,72,132,119,73,70,113,64,154,163,160,158,159,159,160,158,172,169,168,163,141,104,167,162,119,92,176,152,115,58,103,107,66,61,119,57,105,171,159,159,159,160,159,160,175,144,160,173,146,97,143,168,117,74,146,143,102,52,79,94,59,63,123,67,83,170,161,160,160,162,158,169,169,133,142,168,144,96,116,160,112,65,113,131,95,59,66,85,48,76,131,79,86,171,162,160,161,161,159,169,164,139,130,150,128,88,90,141,104,61,82,124,91,56,66,87,56,117,144,89,88,172,164,157,159,158,163,171,154,129,104,135,123,85,72,132,103,53,62,123,90,48,82,94,72,145,140,90,95,173,163,157,158,159,159,181,169,138,96,108,126,76,63,125,107,52,57,128,89,97,146,120,88,136,145,91,103,172,162,159,160,160,160,180,170,142,108,74,105,97,60,127,122,61,64,126,128,145,143,128,102,98,133,84,107,174,163,160,161,160,163,183,173,152,125,92,81,104,77,122,131,110,139,152,150,141,131,114,101,85,87,68,102,175,162,161,161,161,163,183,179,158,135,121,112,105,121,137,146,161,162,161,153,139,126,106,90,84,69,55,97,176,163,160,161,160,164,180,179,164,148,137,128,118,119,138,151,161,160,161,154,136,121,105,85,74,70,50,118,175,164,159,160,160,163,175,176,170,159,151,135,126,122,132,149,158,159,155,149,131,116,101,82,72,57,84,163,169,167,163,165,165,159,171,176,177,169,155,138,126,125,133,153,160,161,150,143,128,114,96,80,60,72,157,167,166,167,130,133,139,132,158,177,180,172,155,141,128,124,132,156,162,156,145,137,125,106,88,72,59,145,176,169,173,172,70,72,77,64,112,180,172,167,156,144,134,122,131,153,153,142,131,124,113,96,80,65,78,131,131,134,131,131,77,77,78,68,85,176,162,156,156,149,139,121,128,150,146,132,116,104,95,86,71,69,74,71,67,65,84,116,75,77,78,74,79,170,154,151,158,151,137,121,124,148,144,124,98,81,77,70,70,77,73,72,97,138,173,172,75,76,75,76,78,164,152,152,159,147,135,127,122,142,138,114,80,68,64,70,76,80,105,144,177,178,167,153,75,75,75,77,73,164,165,154,156,143,132,129,118,127,128,100,69,64,64,69,89,153,186,193,181,175,169,151,75,75,75,76,70,162,172,162,155,141,132,134,115,118,121,92,64,60,63,112,175,191,189,184,175,180,184,171,77,75,76,77,71,153,170,167,155,141,133,135,113,111,118,89,62,48,114,183,182,183,186,174,169,177,186,188
12,153,154,155,157,157,156,157,157,158,159,158,157,157,156,158,159,156,153,154,153,152,152,150,150,148,147,146,144,154,157,158,158,159,159,159,159,159,160,160,160,158,158,150,139,148,158,153,154,154,152,151,150,150,149,147,145,156,157,158,159,160,160,161,161,160,160,159,149,157,160,123,101,85,140,162,157,157,155,152,152,151,151,148,146,157,159,159,160,160,160,161,162,160,162,147,110,96,129,131,112,84,90,147,120,111,138,157,151,151,150,148,147,158,160,160,160,161,163,162,162,160,167,145,121,93,86,143,119,100,81,79,100,88,70,138,158,152,151,150,148,159,160,161,161,162,162,164,163,161,171,154,131,115,79,139,127,106,86,63,96,94,57,89,163,153,152,151,149,160,161,161,161,163,163,164,163,166,172,165,138,119,81,117,131,108,89,56,93,91,63,67,161,154,153,152,151,161,163,162,163,164,163,164,163,172,156,172,144,120,87,93,132,109,90,56,82,96,65,70,161,154,154,153,152,162,162,163,163,163,164,162,161,153,107,143,150,114,93,82,133,111,93,62,75,98,63,82,165,154,155,154,153,161,162,163,164,164,162,161,166,139,93,86,145,119,92,66,128,121,98,72,57,86,58,112,166,155,156,155,154,162,164,164,164,164,173,173,156,119,92,63,124,121,84,57,119,144,116,83,54,72,52,128,165,157,157,155,154,163,164,165,164,171,171,152,143,112,102,67,106,122,92,66,127,157,122,85,61,79,65,146,163,158,157,156,155,164,164,165,164,181,164,130,143,118,108,74,82,131,122,82,101,140,103,67,61,84,62,133,168,159,158,156,155,165,164,163,170,168,148,115,113,126,104,74,64,136,129,102,54,53,52,49,76,83,47,80,170,158,159,158,156,165,165,165,171,160,136,116,84,113,109,89,57,116,129,95,56,38,66,74,74,60,54,57,157,163,159,158,157,163,166,166,169,170,150,129,100,88,119,90,61,45,88,90,59,77,96,107,92,68,59,69,162,161,160,158,158,165,167,167,169,173,155,132,111,85,102,84,76,41,92,143,124,117,109,115,97,74,45,106,172,160,161,159,157,165,167,169,170,174,161,139,119,96,80,94,100,72,139,166,152,132,116,110,90,69,43,135,171,162,162,159,157,165,167,168,172,169,155,137,118,96,81,86,97,113,162,158,144,126,113,100,87,61,49,156,166,163,162,160,159,166,168,169,170,158,147,137,118,92,100,79,104,150,156,150,135,120,108,94,83,48,91,174,162,163,161,160,159,166,168,170,168,158,149,139,115,93,110,95,139,152,151,145,128,114,100,87,66,59,159,167,164,163,162,160,159,168,169,169,171,161,148,140,119,105,103,104,144,144,150,142,123,104,90,82,48,100,179,164,165,164,164,162,160,167,169,169,171,164,151,142,128,110,93,103,143,139,142,129,114,94,81,69,44,150,173,168,165,165,164,163,162,167,169,170,171,169,159,143,125,109,89,97,131,132,128,117,99,82,75,45,87,179,168,167,166,164,164,163,162,167,170,171,171,170,158,141,127,113,99,98,122,124,112,102,90,75,59,48,158,173,168,167,165,165,165,164,162,169,170,171,171,173,152,132,122,109,107,100,115,126,113,98,86,72,38,121,179,168,169,168,166,164,164,165,163,169,170,171,171,173,151,134,128,122,120,110,115,123,111,95,81,54,75,176,170,170,169,168,168,166,164,164,164,169,170,171,167,170,152,137,137,131,123,115,116,121,105,79,70,48,138,179,170,172,170,169,169,167,165,164,163
21,156,158,160,162,164,165,167,167,168,168,168,168,167,167,166,165,164,163,163,162,160,158,158,157,155,154,152,151,157,159,161,163,165,167,168,169,170,170,171,170,170,169,169,167,166,165,164,164,163,161,159,158,158,156,154,152,158,160,163,165,166,168,171,171,172,172,172,172,172,171,170,167,148,162,167,165,164,163,161,160,160,158,157,155,159,162,164,165,167,170,173,173,174,174,173,173,173,173,174,172,112,141,169,168,167,165,162,162,161,160,160,158,160,163,166,167,169,172,174,175,175,175,175,175,175,173,178,165,106,145,171,168,167,167,165,165,163,162,161,160,161,164,167,168,171,173,174,175,176,176,176,177,177,174,185,160,108,156,172,170,166,152,159,167,165,164,162,160,162,165,168,170,172,173,175,177,178,178,179,178,178,176,190,156,112,164,174,171,153,115,131,169,166,165,164,163,164,167,170,172,174,175,178,179,180,180,180,180,179,181,191,150,116,171,174,167,145,106,139,169,167,166,165,164,165,168,171,173,175,178,179,180,181,181,182,181,180,184,186,141,115,173,174,162,137,108,161,170,169,168,166,165,165,169,172,174,177,179,180,180,181,182,181,180,181,191,180,128,120,176,170,158,126,127,172,171,170,169,168,166,168,170,173,175,178,180,181,181,183,184,181,156,153,193,173,117,138,176,159,146,110,150,175,173,172,170,169,168,168,171,174,176,178,180,182,183,185,185,187,155,116,139,133,101,152,170,157,126,114,171,176,175,173,171,170,169,168,172,175,177,180,181,183,185,185,189,190,183,153,120,91,91,156,161,149,109,144,179,177,175,174,173,171,170,170,173,176,179,181,183,184,185,190,195,191,201,184,132,90,88,118,128,119,112,171,179,179,177,176,174,173,171,171,174,177,180,182,184,186,188,195,163,175,175,173,131,93,85,91,97,94,141,181,180,179,178,177,175,173,172,172,175,179,181,184,185,186,195,187,144,145,123,162,147,104,84,81,86,104,172,183,181,179,179,179,178,174,173,173,176,180,182,185,187,188,200,183,147,114,87,148,162,118,89,80,82,133,186,184,182,182,181,180,178,176,175,174,178,181,183,186,187,191,199,163,133,114,99,156,173,134,102,84,83,157,188,185,183,183,182,180,178,177,176,175,179,182,184,187,188,198,200,167,148,128,148,198,174,146,116,89,86,163,189,187,185,184,182,181,180,179,177,176,179,181,185,188,188,204,203,177,144,143,200,197,161,142,118,95,96,169,190,189,187,184,184,183,182,180,178,176,179,182,185,188,190,211,212,173,147,172,216,185,151,128,116,99,106,179,190,188,187,187,186,185,182,180,179,177,180,183,186,188,191,213,200,167,159,185,213,182,156,121,105,98,122,188,190,189,188,187,186,184,182,181,180,178,180,184,186,189,191,207,191,185,162,190,206,174,150,121,101,97,144,193,192,190,189,188,187,185,184,182,181,175,179,182,185,189,191,199,203,198,162,197,191,159,134,114,102,101,165,194,191,190,189,188,188,186,183,182,180,174,178,182,185,188,190,196,203,189,156,181,176,145,120,105,98,111,180,193,191,189,187,187,186,185,183,181,179,176,179,182,186,189,191,196,193,175,156,167,166,143,121,105,95,128,190,193,192,190,188,189,187,185,183,182,180,176,179,183,186,189,192,195,189,174,171,171,165,157,123,102,91,144,194,193,193,190,189,189,188,186,184,182,180,175,179,182,186,189,192,193,194,194,191,177,160,156,122,96,91,158,195,194,192,190,189,188,187,186,185,182,181
1,218,219,220,220,220,222,224,223,225,225,225,223,209,221,224,223,222,221,220,220,219,219,218,216,215,214,213,212,221,222,222,223,225,226,226,227,227,231,233,228,183,170,232,226,229,226,225,225,224,223,222,221,221,220,218,215,224,226,226,227,229,229,229,231,231,218,213,239,202,124,153,175,230,231,229,229,228,227,226,224,223,222,222,220,227,228,230,229,231,232,233,233,236,211,143,223,217,113,132,151,181,244,228,231,230,229,228,228,225,223,224,223,229,231,232,232,234,235,237,237,236,228,145,193,223,122,142,177,127,240,235,235,234,232,231,229,229,228,226,226,230,234,235,237,237,237,238,240,238,240,159,161,230,147,154,191,118,220,243,236,236,235,235,235,232,231,230,230,234,236,236,237,238,239,241,230,227,246,178,140,211,147,163,211,131,197,250,237,239,238,238,237,236,235,233,231,236,238,238,238,240,242,245,208,163,246,195,122,194,149,152,209,139,184,255,240,242,240,238,238,238,238,236,233,238,239,240,241,242,244,246,225,141,225,199,115,201,177,121,212,158,172,255,241,243,242,241,242,241,240,239,238,239,241,243,244,245,244,248,228,144,209,222,129,177,189,118,208,190,163,255,242,244,244,243,244,243,243,241,240,241,244,244,245,246,246,250,234,147,196,234,134,132,172,160,204,163,148,248,249,248,247,245,245,246,245,244,243,242,246,247,246,249,248,250,237,163,157,225,135,136,164,165,188,140,137,139,178,255,246,246,246,246,244,244,244,246,247,249,249,251,252,248,246,178,130,204,161,167,157,168,182,173,147,112,119,236,254,248,248,247,245,245,246,246,248,250,251,252,254,249,243,195,170,185,159,169,157,189,215,171,122,163,151,176,255,248,250,250,247,246,245,247,250,251,253,253,254,255,250,216,182,172,152,165,168,194,205,178,177,232,199,148,244,254,251,251,251,249,248,248,251,254,253,255,255,255,255,223,177,157,149,162,172,203,212,215,207,191,211,142,189,255,249,251,251,250,251,250,252,254,253,255,255,255,255,235,185,144,151,165,177,219,221,244,242,204,172,121,125,255,253,252,251,251,251,251,254,255,255,255,255,255,255,255,205,152,154,168,197,217,227,238,230,202,169,115,109,251,255,255,252,252,252,252,253,255,255,255,255,255,254,255,233,180,149,171,207,224,241,245,227,201,177,111,140,255,255,255,254,254,254,253,255,255,255,255,255,255,250,255,255,212,164,165,196,233,253,247,231,217,174,102,182,255,255,255,255,255,254,254,255,255,255,255,255,255,250,255,255,233,185,174,193,234,255,250,243,214,158,100,223,255,255,255,255,255,254,255,255,255,255,255,255,255,255,250,255,248,199,186,192,229,248,255,242,195,137,115,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,235,248,249,212,186,185,217,241,242,212,166,109,149,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,242,228,234,214,195,186,196,213,202,164,126,98,222,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,221,223,216,201,196,173,175,180,146,97,164,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,237,231,213,194,190,160,159,165,126,99,243,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,233,202,185,186,169,161,145,103,135,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,239,242,230,208,207,183,169,135,94,160,255,255,255,255,255,255,255,255,255
20,156,159,161,163,166,170,172,174,176,178,179,181,183,182,184,187,187,186,186,188,189,189,189,188,188,188,189,189,159,161,163,165,169,171,173,176,177,178,179,182,183,184,188,170,177,191,191,189,190,190,191,191,191,191,192,191,159,162,164,168,171,172,175,178,178,179,181,184,186,184,204,148,134,165,166,196,193,194,195,193,192,193,193,193,160,164,167,168,171,173,178,179,180,182,185,187,187,186,215,154,163,168,117,194,195,194,194,193,192,194,195,192,161,164,167,169,172,175,178,179,180,183,187,188,187,189,209,153,180,186,111,185,198,195,196,195,195,196,196,194,163,165,168,171,175,177,179,180,183,185,186,187,185,195,224,167,183,191,119,184,202,198,199,198,198,197,197,197,164,167,169,172,175,177,180,183,185,185,188,191,185,206,222,165,201,194,127,179,204,198,199,199,199,199,199,198,164,167,170,173,176,178,181,184,187,188,178,181,193,208,197,158,205,188,121,172,207,199,201,199,198,200,199,197,165,168,171,174,177,181,182,184,187,193,177,125,166,221,186,150,211,175,115,176,209,202,202,201,201,201,199,198,166,168,172,176,178,182,185,184,185,201,179,141,109,185,174,149,211,172,118,189,206,203,204,202,202,201,200,199,167,169,172,177,179,181,183,192,169,171,189,176,163,125,121,132,183,165,119,194,206,204,205,203,203,203,202,201,167,170,174,178,179,179,194,218,165,131,194,202,192,147,94,93,149,150,114,196,207,204,205,204,204,203,203,204,169,171,174,177,180,181,198,183,193,161,125,162,201,180,125,95,125,122,109,202,206,206,207,206,206,204,204,204,169,171,176,180,182,179,205,174,144,138,74,77,190,208,164,102,104,111,103,200,208,207,208,207,207,206,206,204,169,171,176,180,182,182,202,168,137,132,98,95,154,225,188,128,94,104,102,200,209,207,208,206,206,205,205,205,170,171,175,180,182,182,208,203,172,142,112,125,138,225,208,157,105,90,95,201,210,207,208,206,205,206,205,204,170,172,176,181,183,183,221,193,151,132,124,141,156,225,208,171,120,82,88,199,211,208,209,207,206,206,206,205,171,174,176,181,185,185,219,188,155,145,147,144,210,241,192,168,126,81,89,204,212,210,210,209,207,206,205,206,172,174,178,182,184,187,226,196,166,157,156,160,241,236,194,161,132,85,95,209,210,210,210,209,207,208,208,206,173,176,179,184,186,187,227,203,178,151,169,190,240,221,200,161,132,86,106,216,209,210,210,209,207,208,209,208,173,176,179,183,186,187,230,212,183,165,166,205,235,205,194,155,129,82,123,219,208,210,210,209,208,209,209,208,172,175,179,184,188,185,226,213,188,192,167,210,230,204,189,159,122,82,135,220,207,210,210,210,209,210,209,208,172,176,180,184,188,185,214,221,202,209,185,194,219,195,183,159,119,79,134,221,209,211,211,211,210,211,210,208,172,177,181,185,187,187,198,222,211,212,198,187,205,191,182,158,119,81,140,221,208,212,211,211,211,211,210,210,171,176,180,185,187,189,190,217,215,201,184,187,194,183,181,174,119,82,159,221,209,211,211,211,211,211,211,210,172,175,180,185,187,190,189,216,205,188,172,176,190,181,180,174,123,88,185,217,211,213,212,211,211,211,211,210,171,176,181,185,187,190,190,215,196,184,174,171,190,183,175,170,111,103,211,213,212,213,213,212,212,212,212,211,171,177,181,184,187,190,192,219,213,202,182,177,195,175,164,162,95,132,223,211,213,213,213,213,212,213,213,213
6,229,230,230,231,232,232,233,234,233,234,233,233,232,231,232,232,230,229,230,230,228,225,226,226,225,222,221,222,231,233,233,233,233,233,235,235,235,235,235,235,235,234,235,235,232,232,230,231,231,227,227,226,226,225,223,222,232,234,236,235,235,235,235,236,237,237,238,238,238,238,238,237,236,234,232,232,231,231,228,227,225,225,224,221,233,234,235,236,237,237,236,237,239,239,239,239,237,238,239,238,237,236,234,233,233,231,229,229,227,227,226,225,235,236,237,239,239,238,238,238,239,239,238,239,240,240,239,239,238,238,237,236,234,233,233,230,230,229,227,225,238,238,239,240,241,240,239,239,239,239,239,239,240,240,239,239,238,238,237,238,237,236,234,233,232,230,228,228,238,238,241,240,240,240,241,241,241,240,240,241,242,242,241,241,240,239,238,238,236,236,234,232,232,230,230,230,241,242,242,242,242,242,244,242,241,242,243,244,245,245,245,245,242,242,240,239,239,239,237,236,232,228,230,230,242,242,242,244,244,244,245,247,246,246,240,239,243,242,242,240,241,241,243,233,237,231,233,228,226,250,238,228,243,243,245,245,247,249,252,253,249,241,223,205,228,240,243,240,245,239,230,231,234,230,235,228,230,255,216,226,247,248,250,250,250,245,240,241,244,241,235,192,179,215,227,227,225,218,212,210,204,205,203,203,197,195,211,237,248,244,243,244,243,235,234,239,239,239,240,199,153,150,149,166,171,179,183,184,193,202,207,209,214,226,239,235,240,235,235,234,231,226,227,224,218,212,200,174,162,158,139,168,227,236,240,243,245,247,249,246,244,248,245,243,239,231,224,219,218,222,221,214,211,218,217,174,150,155,171,164,191,248,255,247,247,245,243,244,240,216,201,201,237,227,216,213,215,215,218,218,221,235,239,189,150,139,158,171,156,163,236,251,247,247,246,244,181,147,146,143,234,225,214,205,202,206,215,221,226,224,212,190,167,161,155,153,165,152,184,255,248,244,255,209,145,155,150,146,236,229,219,210,205,206,207,210,225,230,196,169,172,177,174,161,154,146,191,253,244,249,245,175,147,145,141,143,232,228,222,215,210,211,208,205,211,227,213,168,140,162,186,185,166,142,225,255,251,247,169,143,131,116,108,96,226,227,225,220,213,213,213,212,223,231,200,170,158,153,159,174,180,156,196,215,183,161,134,131,118,104,95,87,215,228,230,228,220,216,214,211,215,224,205,178,172,177,166,154,161,161,151,147,142,131,124,115,107,99,90,90,141,212,234,225,223,222,214,210,199,199,196,184,193,191,179,175,157,130,125,139,141,131,123,113,102,96,88,85,75,113,204,210,196,193,186,184,184,168,159,142,162,178,188,182,155,117,100,124,126,119,119,119,110,96,85,82,78,72,92,190,218,218,226,232,244,242,150,136,139,160,174,152,149,123,98,100,119,114,110,117,118,99,87,81,68,54,126,228,233,233,235,237,237,241,222,196,187,176,144,118,150,119,93,86,101,110,105,110,119,108,89,81,57,57,142,155,151,152,156,156,158,160,166,166,178,172,123,109,146,118,86,86,94,99,101,105,115,111,90,82,61,56,134,154,150,149,149,150,151,149,145,157,169,159,113,103,137,111,84,85,93,94,95,98,107,110,93,81,61,54,150,160,156,158,157,154,153,156,163,155,134,128,116,97,130,105,86,76,88,90,92,95,101,107,99,84,46,72,164,157,157,157,159,158,158,154,143,130,127,115,112,98,122,102,85,79,81,84,87,91,98,104,100,87
5,94,99,103,106,108,111,113,114,116,119,120,121,121,125,126,127,128,129,132,132,132,134,135,134,135,136,137,136,95,100,103,106,109,112,114,115,118,120,121,121,125,126,127,128,129,132,133,133,135,135,135,135,135,137,137,136,96,101,104,107,110,113,115,116,118,120,123,123,102,126,128,129,131,133,134,134,127,135,135,137,137,137,137,137,97,102,105,108,111,115,113,119,121,121,123,136,76,113,132,130,133,134,133,142,97,115,140,136,137,137,138,138,98,103,106,109,112,116,129,94,116,124,124,142,79,108,135,131,133,133,136,145,80,109,143,137,139,140,140,139,99,103,107,110,115,111,146,103,90,129,126,149,88,110,136,132,134,134,144,113,70,135,140,141,141,141,141,140,100,104,108,112,116,112,133,129,79,127,130,148,94,108,137,132,134,143,140,75,97,147,139,142,143,142,141,141,101,106,109,113,118,117,126,156,96,114,137,134,78,106,139,133,137,142,111,76,138,143,142,143,143,143,142,142,102,107,110,114,118,119,121,169,118,97,140,123,84,104,141,130,130,110,68,112,148,141,142,143,145,144,144,143,103,108,111,115,119,120,118,158,145,89,133,119,98,100,139,124,121,66,88,148,143,144,144,145,146,146,145,145,103,109,113,116,120,121,120,137,166,130,110,107,100,89,117,120,109,70,136,144,143,144,144,146,146,146,147,146,104,109,113,116,119,121,123,125,161,162,122,84,92,73,85,110,85,95,149,144,146,147,146,146,147,147,148,145,104,109,114,117,120,120,123,124,142,172,147,103,74,70,73,79,70,129,148,146,146,144,146,148,149,149,148,148,104,110,113,118,120,120,123,127,128,168,155,114,76,63,66,64,73,146,141,138,135,133,138,140,138,137,142,141,105,110,115,119,121,121,125,128,125,162,159,114,74,59,59,61,73,109,128,128,121,134,148,143,137,137,127,97,107,112,115,118,122,123,126,129,128,171,157,117,81,56,55,59,77,87,108,110,84,87,106,100,103,122,111,75,107,112,115,119,122,123,127,126,136,181,147,112,80,58,55,61,73,78,71,75,86,120,125,125,125,131,100,90,106,111,116,120,122,123,128,123,154,181,137,108,77,58,56,59,62,65,96,125,148,156,153,137,135,101,92,145,106,111,117,120,123,125,128,125,170,170,132,104,72,57,58,62,50,103,155,157,151,141,123,125,118,76,148,154,107,112,116,120,122,125,126,137,182,164,127,91,71,55,56,66,77,99,105,127,127,122,132,129,84,100,159,148,108,112,117,121,122,126,123,154,181,154,117,91,74,54,58,73,92,104,100,96,118,129,124,96,94,144,154,151,108,112,118,121,122,125,126,172,175,144,110,98,79,52,69,97,111,116,107,102,119,101,92,123,155,156,153,152,108,113,118,121,123,122,139,181,169,140,111,101,79,53,77,111,113,115,111,89,79,99,144,158,153,153,153,152,109,113,118,121,124,120,164,178,161,137,112,97,79,55,85,116,105,113,98,69,110,154,154,152,153,153,153,152,109,114,118,123,119,139,179,165,155,133,98,86,71,57,93,111,100,99,85,131,157,152,153,153,153,154,154,152,109,114,118,122,120,164,170,154,145,121,85,79,63,66,91,94,94,85,137,156,151,153,154,153,153,154,154,152,109,114,119,118,143,167,156,147,144,120,75,71,65,72,75,81,98,136,155,150,153,153,153,154,154,154,154,154,110,114,118,121,169,159,151,141,150,114,63,73,76,64,65,107,149,153,152,153,153,153,153,155,155,154,154,154
15,119,115,113,113,114,117,117,118,121,131,143,156,164,173,180,185,185,190,193,199,205,208,212,215,217,219,223,224,118,114,113,113,113,116,118,118,121,132,144,157,165,174,182,186,186,190,195,200,205,209,214,216,218,221,224,226,118,114,114,113,113,116,121,119,122,133,146,157,166,174,181,186,187,191,196,201,206,210,215,217,220,223,225,228,118,115,113,113,116,115,114,117,122,134,147,157,167,176,181,186,188,191,196,202,206,212,217,219,222,224,225,229,118,115,114,115,112,118,149,130,126,134,147,158,167,176,185,188,189,190,196,202,208,213,217,220,223,224,226,229,118,116,116,116,102,199,204,165,159,155,150,152,166,175,177,178,186,193,201,205,209,212,216,220,223,225,227,231,119,117,115,114,106,194,179,153,154,153,139,152,156,159,155,149,154,160,175,193,209,217,222,223,223,225,229,231,120,116,115,115,110,128,141,122,129,122,117,149,140,141,136,149,161,152,150,155,168,178,193,212,230,226,230,232,120,116,114,113,115,115,115,115,118,113,116,125,119,118,117,153,158,153,156,159,163,155,138,136,174,237,229,232,119,117,114,112,115,118,118,118,124,136,149,148,149,146,134,142,140,138,130,151,175,167,150,146,112,173,243,230,120,118,114,113,114,115,116,116,123,138,150,165,172,180,185,172,139,123,149,178,181,177,147,157,150,102,196,247,120,116,112,113,114,115,116,115,124,138,152,160,170,191,192,173,154,160,221,176,187,160,167,178,157,134,112,219,119,115,113,113,114,114,116,116,124,139,149,165,217,202,163,145,142,138,210,154,143,169,208,164,184,167,116,120,118,115,112,111,112,113,113,114,123,140,140,199,238,161,137,143,146,114,146,124,112,232,179,158,198,179,141,101,117,114,111,111,111,111,113,113,121,140,140,193,210,140,141,162,169,161,136,109,131,210,129,147,200,189,151,115,117,114,111,110,110,111,111,112,124,140,141,182,191,120,154,171,179,171,139,126,136,141,137,161,182,174,146,115,115,113,110,109,109,111,112,112,124,139,141,187,236,147,144,173,185,169,129,122,135,137,152,161,150,129,122,111,114,114,110,109,109,111,112,111,123,139,141,189,208,226,182,146,142,131,117,126,132,135,142,154,146,111,104,106,114,113,109,109,107,109,111,111,120,140,138,232,212,199,217,166,124,86,90,120,136,140,150,164,147,111,105,105,115,111,108,109,107,109,110,111,121,137,145,184,202,217,205,190,166,107,55,67,94,149,149,152,130,108,108,109,104,101,99,99,99,100,101,103,114,129,144,153,164,188,180,183,159,146,89,68,81,143,163,141,121,117,120,120,156,151,147,143,140,135,134,135,141,149,156,164,173,176,159,148,164,194,138,74,99,112,160,171,155,144,134,127,160,155,155,154,152,152,156,156,152,150,147,145,150,154,156,153,155,222,158,101,119,102,118,143,143,133,123,115,143,142,142,140,140,142,143,141,141,143,137,133,137,140,142,145,134,161,141,144,149,141,138,126,115,115,112,106,148,149,150,148,148,148,150,150,148,150,150,148,150,152,151,152,153,149,151,152,155,154,164,164,136,117,110,105,150,151,153,152,151,150,151,151,150,151,152,151,151,151,149,151,152,153,152,154,150,149,164,177,160,138,119,127,151,152,153,153,152,150,152,153,152,153,152,153,153,152,151,151,153,152,153,153,152,150,146,162,206,149,152,161,150,151,151,150,151,150,151,151,151,152,151,152,153,151,151,153,154,153,153,152,151,151,150,149,246,232,204,193
4,121,126,132,135,138,142,145,147,150,152,154,157,159,161,163,164,165,165,167,170,170,171,172,173,173,173,173,174,122,127,133,136,139,142,145,148,150,152,154,157,159,163,163,163,166,168,168,169,172,172,173,174,174,174,174,175,123,128,133,137,141,144,146,149,150,153,155,159,159,162,165,168,163,156,162,169,168,172,175,175,176,175,175,175,124,130,134,138,142,145,148,150,152,154,153,162,170,157,151,180,162,122,104,143,137,132,169,177,176,177,177,178,125,131,135,138,142,146,150,149,155,170,152,144,160,155,117,149,153,111,72,106,123,95,126,179,177,178,178,179,124,130,135,138,143,147,150,149,174,192,173,143,113,113,102,126,149,102,70,124,123,88,87,176,180,180,181,180,126,132,136,139,144,148,149,153,190,168,173,134,98,74,81,131,159,105,109,141,109,69,72,170,180,180,182,181,128,132,137,140,144,148,148,164,181,145,166,111,79,73,76,111,143,141,153,139,112,64,83,176,181,181,182,183,128,133,138,142,146,149,148,178,178,149,157,111,72,89,106,115,141,153,141,147,134,105,104,182,183,183,184,184,126,133,138,143,146,150,152,188,169,150,142,116,61,108,155,144,142,135,124,163,152,137,118,167,184,184,186,187,127,134,139,143,147,150,161,186,150,125,111,89,51,72,125,123,118,98,109,168,168,158,130,119,176,187,187,187,127,134,140,144,148,148,177,185,151,125,105,78,56,50,64,76,83,97,131,157,169,161,141,109,130,186,187,188,128,135,140,145,149,152,195,182,154,135,111,88,69,58,64,78,119,169,169,159,153,138,134,119,95,166,190,189,129,136,140,145,148,160,204,184,164,139,110,90,75,74,111,157,184,188,170,154,138,117,114,112,91,156,192,190,131,136,141,145,147,175,211,187,163,134,113,104,86,114,169,189,191,187,166,146,126,105,95,96,100,177,191,190,131,137,143,146,149,189,213,186,158,137,128,115,112,158,179,185,187,178,158,136,116,97,88,86,142,191,190,190,132,136,142,147,148,195,211,182,163,154,144,128,146,171,180,182,177,166,145,124,107,92,82,106,181,190,192,193,132,138,143,148,150,198,211,189,175,165,149,141,163,175,181,177,162,150,131,113,100,86,84,158,192,190,193,195,133,138,143,147,149,192,211,196,182,166,148,139,159,172,172,165,149,137,120,104,92,79,121,190,192,192,195,195,134,139,144,148,149,182,208,194,181,165,144,132,149,161,160,152,136,125,110,94,83,93,172,194,193,192,194,195,135,140,145,149,152,172,202,183,167,155,139,137,148,158,157,145,126,114,99,85,83,154,193,194,195,195,195,195,135,140,146,150,153,168,193,168,159,151,145,148,143,148,149,136,119,105,91,78,132,189,194,194,195,196,196,196,135,140,145,151,152,167,189,167,166,159,163,159,139,136,140,127,108,97,80,108,182,192,194,195,195,197,196,197,136,141,146,151,156,176,189,176,171,166,161,151,132,122,130,117,100,89,82,163,192,193,196,196,197,197,197,197,137,142,146,151,179,192,175,164,172,169,154,139,125,113,117,108,96,77,115,190,193,194,195,196,197,197,197,198,137,141,145,164,196,192,187,140,140,162,145,130,119,104,104,100,91,71,133,194,193,194,196,196,197,197,198,199,138,143,150,189,192,190,192,182,125,121,128,125,110,91,98,93,86,70,139,195,193,195,196,198,198,198,199,199,138,141,172,197,186,191,192,189,179,111,98,114,102,88,93,88,82,69,144,195,194,195,196,198,199,199,200,200
13,167,170,172,173,174,176,177,179,179,179,180,181,181,181,180,181,180,179,179,179,177,176,175,175,175,173,172,170,168,171,172,173,175,177,178,179,179,181,181,182,182,183,183,182,182,182,181,180,178,178,177,177,176,175,173,172,169,171,174,174,175,178,180,180,182,183,183,183,183,183,183,183,183,183,183,182,181,181,180,179,177,176,175,174,170,173,175,175,176,178,181,182,183,184,184,185,186,186,185,183,184,186,186,183,183,182,181,180,179,178,177,176,171,173,175,176,177,179,182,183,184,185,184,187,188,181,184,189,185,182,186,187,183,183,183,181,181,180,178,176,171,174,176,176,179,181,183,184,185,186,186,188,179,150,128,171,181,146,126,165,190,184,183,182,182,181,179,178,172,175,176,177,180,182,183,184,185,187,186,191,186,159,134,116,151,146,108,105,190,185,185,184,184,182,180,178,173,176,177,178,181,183,185,186,186,188,189,191,200,168,150,103,125,153,124,86,171,191,187,186,185,184,181,180,174,177,178,178,181,184,185,187,188,189,190,189,197,172,142,103,107,145,123,81,159,194,186,187,187,185,183,182,174,177,178,180,182,184,185,188,189,190,193,195,190,171,138,108,93,121,109,77,156,195,186,187,186,185,184,183,175,178,179,181,183,185,187,189,190,186,163,174,173,168,140,118,92,122,115,80,171,195,188,188,187,185,184,183,175,177,179,182,184,187,189,189,192,172,129,115,120,156,172,138,101,127,128,83,169,197,189,189,189,187,185,185,175,179,180,182,184,186,190,190,200,168,135,125,99,142,191,150,102,112,123,78,121,200,189,189,189,188,187,186,176,180,181,183,185,187,188,178,148,161,150,140,108,83,148,122,96,106,103,95,88,170,198,189,189,189,188,186,176,180,182,183,186,184,194,167,119,120,164,143,128,78,60,69,82,110,110,114,103,115,199,191,190,189,188,188,177,180,182,183,184,196,197,152,133,114,143,150,128,107,60,78,92,98,133,132,123,89,173,197,190,190,189,188,177,180,183,184,187,198,165,157,146,132,113,147,133,118,74,79,131,138,142,133,123,88,155,200,190,190,189,188,177,181,184,185,187,202,166,145,144,130,113,125,128,100,76,82,151,165,160,125,112,88,167,200,190,190,189,188,178,181,183,185,190,195,166,130,123,121,102,80,104,94,86,98,164,162,156,132,103,90,188,197,193,191,190,189,179,181,184,185,189,190,181,161,127,101,82,67,94,113,99,138,180,159,149,127,90,108,202,194,195,193,191,189,179,183,185,185,187,190,188,171,146,127,115,111,113,121,129,182,177,152,136,123,83,134,206,195,195,193,192,190,180,184,184,186,188,188,184,176,158,144,125,123,138,169,179,181,165,146,128,116,80,160,205,195,196,193,192,190,180,183,184,187,188,190,181,166,154,139,123,125,134,180,177,168,154,137,123,103,83,184,201,195,195,194,192,190,180,184,185,187,189,192,175,158,155,140,129,131,131,167,173,165,146,128,114,92,96,202,197,196,195,194,193,191,181,184,185,187,189,194,184,163,155,143,137,134,132,163,169,160,140,117,107,74,135,208,196,197,195,195,193,192,181,183,183,186,188,192,195,170,154,151,140,128,125,148,159,148,126,105,90,82,190,201,198,197,196,194,193,192,180,183,184,186,188,191,195,189,162,149,136,128,122,134,147,139,117,103,74,131,210,197,198,196,195,194,194,194,178,182,184,185,188,190,192,195,179,152,136,126,125,129,141,136,116,102,77,173,204,197,197,195,194,193,192,191
16,156,164,169,169,174,181,186,190,194,199,204,206,210,212,214,217,218,220,222,224,225,227,229,230,230,229,230,231,158,166,169,170,175,181,187,192,195,200,205,208,211,214,215,217,220,222,224,226,228,229,231,232,231,230,231,233,161,168,169,172,176,182,188,193,197,202,206,210,213,216,217,220,222,224,226,228,231,231,232,233,233,233,234,234,161,168,170,174,178,184,190,195,199,205,208,211,215,218,221,223,225,226,228,230,231,231,233,234,235,237,237,238,162,169,172,175,180,187,192,198,201,206,209,210,216,220,220,223,226,226,230,231,231,232,235,234,236,239,239,239,165,172,174,176,182,188,193,199,203,209,208,221,219,217,233,222,222,234,231,231,233,233,235,237,239,240,241,240,168,174,176,178,184,190,195,201,206,206,221,255,248,255,255,229,197,199,234,241,237,236,237,239,240,242,243,242,168,175,176,179,186,191,196,204,197,250,255,255,255,255,255,231,200,160,153,197,233,245,239,240,242,244,245,244,169,176,177,180,187,193,198,199,229,255,255,255,255,255,248,217,173,159,135,128,148,194,242,244,242,245,245,246,171,177,179,182,189,197,194,230,255,255,255,255,255,242,226,188,158,164,136,142,131,126,162,241,248,245,247,247,171,176,179,182,189,198,192,251,255,255,255,255,246,212,183,152,154,152,140,151,138,135,123,148,243,249,246,248,170,176,179,183,190,199,196,255,255,255,255,247,223,177,146,145,128,152,149,157,144,137,135,121,157,255,250,248,173,179,181,185,192,200,199,255,255,255,233,213,176,147,135,103,81,159,152,154,147,141,132,134,123,175,243,253,174,181,183,187,193,202,197,255,255,255,234,180,136,116,63,36,80,154,151,159,146,139,134,138,124,43,121,255,176,182,183,187,194,204,197,254,255,255,229,154,125,78,24,29,80,154,161,167,143,135,136,135,75,34,138,255,178,182,184,187,194,202,200,235,255,255,206,135,105,71,41,63,82,128,183,160,141,133,138,87,48,33,194,255,177,182,185,188,195,203,205,220,255,254,179,127,116,118,90,102,100,142,211,137,138,139,99,33,54,37,230,255,178,184,184,188,196,204,205,223,255,222,147,136,141,129,122,114,104,220,198,132,140,97,20,40,48,51,253,255,180,185,185,189,198,206,204,242,255,192,146,151,142,139,143,103,181,249,178,142,101,30,36,55,31,74,255,255,181,185,185,191,200,208,202,249,255,163,179,133,86,111,111,120,255,245,176,127,66,46,54,42,26,107,255,255,182,185,186,192,200,209,201,255,255,132,209,128,99,107,88,142,255,255,197,98,62,50,38,41,24,167,255,255,180,184,187,192,199,204,215,255,181,152,226,126,123,132,110,128,255,255,209,82,52,44,35,46,28,197,255,255,179,183,184,190,200,203,220,212,158,223,209,126,135,138,136,116,219,255,212,90,35,40,41,49,32,191,255,255,181,185,186,191,201,207,210,212,221,235,195,130,143,145,144,116,104,184,147,50,33,40,44,50,36,198,255,255,182,185,187,192,200,208,212,218,219,234,186,134,141,141,117,76,43,41,42,38,43,43,45,49,36,206,255,255,182,185,187,193,200,207,212,219,221,235,177,128,131,121,77,45,48,52,52,53,50,50,46,49,30,146,255,255,183,186,188,193,202,207,215,221,223,237,185,134,118,99,62,54,64,66,67,66,59,54,48,51,30,150,255,255,182,186,190,193,201,208,215,219,226,227,164,138,122,103,78,69,76,75,76,72,64,58,51,54,30,177,255,255
5,181,182,185,188,188,188,189,189,192,190,187,190,191,192,192,192,195,182,187,190,189,188,186,185,184,183,182,181,183,185,187,189,189,190,191,191,200,194,172,189,193,193,193,197,203,168,180,192,191,189,188,187,186,185,183,183,185,186,189,191,191,193,194,193,205,207,164,184,195,195,195,205,207,158,177,194,193,192,190,189,188,187,186,186,187,188,190,193,194,195,192,194,205,218,170,181,197,197,199,215,197,155,184,196,195,194,193,192,190,189,189,187,189,191,193,194,199,204,180,189,207,228,185,179,199,199,207,220,180,158,192,198,197,196,195,195,194,192,190,189,191,193,195,196,200,214,178,177,207,234,198,178,199,202,218,214,167,171,198,200,200,198,197,196,196,194,192,192,194,195,196,198,200,219,194,171,206,231,194,172,199,207,216,190,156,184,202,202,201,200,199,198,197,195,194,194,195,197,198,200,201,221,216,177,202,224,188,166,198,208,200,159,159,197,204,203,203,202,201,200,199,197,196,196,196,198,200,201,202,218,234,192,195,222,195,168,191,199,184,147,176,204,206,205,204,203,202,201,201,199,198,198,198,199,201,203,204,215,240,210,186,215,197,170,171,179,172,153,191,207,207,207,207,205,204,203,202,202,200,199,199,201,202,204,205,212,238,234,199,201,189,169,146,154,157,161,200,209,209,208,208,206,205,205,204,202,201,200,201,202,204,206,207,210,229,247,232,199,173,163,136,134,141,170,206,211,211,209,209,209,208,206,204,203,201,201,202,204,206,207,208,209,218,242,249,222,174,151,133,126,130,170,204,208,210,211,215,218,216,212,206,200,189,191,204,206,207,209,210,211,213,230,250,241,199,150,128,124,124,149,181,194,190,179,187,196,192,194,198,186,162,176,206,207,208,210,211,213,214,220,244,247,212,159,130,122,121,133,151,163,154,145,160,170,173,180,186,176,159,186,207,209,210,211,213,215,215,218,237,247,214,162,131,120,120,126,129,137,150,177,199,204,204,204,199,180,171,198,208,209,211,213,215,216,217,219,236,248,215,165,134,120,118,120,136,172,198,212,216,214,209,206,189,173,192,207,209,211,213,214,216,217,218,220,240,248,216,169,137,121,114,117,170,210,217,218,215,208,201,197,168,178,208,210,210,212,215,216,216,217,218,223,244,247,212,168,136,118,111,118,156,188,205,209,202,198,195,181,156,189,213,212,211,213,216,217,217,218,219,227,247,244,206,165,132,113,110,117,127,146,163,175,182,189,184,166,171,205,209,198,211,213,215,217,218,219,220,231,250,240,202,160,128,110,109,116,127,144,151,160,173,172,168,182,205,209,177,149,211,213,215,217,218,219,221,236,251,235,195,156,130,113,114,124,141,155,154,153,157,161,186,210,216,194,142,125,212,214,216,218,219,220,223,242,250,226,186,159,137,117,121,138,152,158,154,144,155,190,213,218,211,173,126,116,213,215,217,219,221,221,227,247,248,218,184,165,142,120,124,144,154,155,149,157,194,217,221,217,183,132,108,98,214,216,218,221,222,222,233,251,246,217,189,168,142,119,122,141,147,145,151,193,221,223,217,195,145,110,98,87,215,217,219,221,222,224,240,253,244,220,191,160,131,110,112,128,134,142,180,219,225,214,181,144,116,100,88,78,214,216,218,220,220,226,247,252,240,215,173,131,104,88,91,102,128,173,215,226,213,173,134,115,104,95,86,76,202,205,208,208,199,215,249,249,229,195,143,100,81,71,74,80,137,210,227,220,178,130,112,104,96,92,89,81
12,139,140,140,139,139,141,141,140,140,138,136,137,136,136,135,135,134,134,133,131,130,129,128,128,128,127,125,124,142,142,141,141,141,142,142,141,141,140,139,139,138,137,137,136,135,134,135,134,134,132,130,130,129,129,128,126,144,144,143,143,144,144,144,144,144,142,142,142,139,140,139,137,139,138,137,135,135,134,134,132,130,130,129,128,146,146,145,146,146,147,146,146,147,145,144,144,142,143,142,144,140,139,140,142,139,135,136,134,133,131,130,130,148,147,147,148,148,148,148,148,148,147,146,147,144,134,109,118,145,141,131,121,129,142,136,135,135,135,133,132,151,150,148,149,151,150,150,149,149,148,148,148,148,135,114,74,122,142,121,97,72,124,145,139,138,136,135,135,153,152,150,151,153,153,152,150,151,150,149,148,156,150,127,99,72,114,136,109,69,78,146,128,138,140,137,136,153,153,152,153,153,153,153,152,153,153,150,153,158,160,138,116,72,71,145,115,85,57,83,97,86,129,142,137,154,154,154,154,155,155,156,155,154,154,156,155,142,152,145,114,91,55,129,121,96,51,47,92,66,77,148,139,156,156,156,155,155,155,156,157,155,145,138,149,140,144,140,110,80,42,117,120,96,50,42,84,64,42,138,143,157,156,156,155,156,156,157,154,154,132,99,109,134,128,135,99,66,46,128,114,89,46,40,78,59,37,136,145,158,157,158,157,159,160,157,150,155,138,121,103,101,93,137,108,75,58,135,104,83,43,51,87,61,51,150,144,159,158,160,159,161,161,158,155,155,150,138,128,84,63,138,136,88,66,134,107,77,46,81,98,52,85,156,144,161,161,161,160,161,160,161,148,129,147,148,132,105,73,134,134,86,69,147,127,78,71,105,88,45,120,153,146,162,162,162,161,162,159,163,150,105,112,147,135,112,66,88,114,67,88,158,122,72,96,126,90,51,141,151,148,164,164,165,164,164,161,167,165,134,71,96,131,92,56,38,52,31,56,126,105,64,121,137,84,90,155,148,150,164,164,166,166,164,164,158,142,116,79,55,115,77,57,43,46,35,53,83,59,63,160,133,72,92,162,150,152,165,165,166,168,165,160,163,152,135,108,62,88,90,73,62,60,60,110,133,114,112,120,95,50,52,160,152,152,167,166,166,166,166,158,168,162,142,104,73,74,98,92,66,66,120,140,143,126,132,110,56,37,56,159,153,153,168,167,167,167,167,157,167,168,147,114,97,81,89,98,83,124,163,156,152,122,120,113,74,37,92,166,152,154,167,167,167,168,168,158,165,169,150,127,105,93,91,111,147,163,169,163,150,120,110,100,66,38,135,162,154,153,169,169,169,169,169,160,160,164,149,131,106,98,96,125,168,166,166,156,138,113,99,86,56,52,161,158,157,154,170,171,171,170,171,160,154,157,151,131,106,105,99,136,171,164,160,147,125,109,91,77,40,90,169,157,158,157,171,172,172,171,173,161,153,158,149,130,109,109,104,148,165,164,154,133,117,105,85,63,44,148,164,159,159,158,172,173,172,171,173,165,152,155,153,138,117,106,104,153,159,160,147,125,109,95,79,41,82,172,160,161,160,159,173,173,172,172,174,170,154,154,153,146,124,104,102,147,153,149,134,117,99,82,66,35,137,168,162,162,161,160,174,173,172,173,174,173,155,154,152,140,118,104,100,133,143,135,121,100,84,70,39,70,171,162,165,163,162,161,174,173,173,174,175,172,156,153,148,134,114,105,102,123,133,125,110,91,71,55,35,142,170,164,165,164,162,162
7,169,169,170,169,168,169,169,170,169,168,166,166,162,132,163,159,143,127,119,113,97,83,71,35,16,0,26,139,171,172,172,172,171,171,171,170,169,171,169,168,167,155,160,165,146,122,94,86,66,40,24,3,0,0,40,146,173,173,174,174,174,175,174,174,174,174,172,171,168,156,164,165,152,134,92,62,30,9,0,0,0,0,42,148,175,176,176,177,177,177,177,178,178,176,172,170,178,163,160,163,156,151,147,132,102,58,17,0,0,0,42,150,175,176,176,176,177,177,179,178,177,176,175,179,137,142,167,161,154,155,159,151,154,106,39,15,13,0,45,152,178,178,178,177,178,178,179,178,179,178,181,170,84,104,178,167,157,158,162,148,153,107,17,21,20,10,38,153,180,179,179,180,180,179,180,180,179,176,187,141,103,174,144,159,160,150,162,153,145,86,22,26,27,25,0,58,183,181,182,181,182,183,183,183,184,184,184,139,181,222,154,97,146,147,149,143,125,73,31,29,32,28,0,3,185,183,185,184,185,188,189,181,171,160,162,203,210,199,209,152,102,129,142,136,118,86,47,36,38,28,0,2,184,184,187,189,186,174,156,140,128,112,69,63,96,125,137,128,98,82,103,118,116,92,55,44,43,24,5,100,190,187,176,164,146,132,130,125,123,111,61,29,49,70,74,68,78,78,57,59,76,71,59,55,41,18,42,141,157,144,133,127,127,133,130,123,120,96,56,47,48,56,65,70,74,76,58,41,56,45,54,52,47,26,79,89,132,135,140,138,135,138,136,139,129,106,63,41,51,61,65,63,70,67,50,42,48,48,58,56,90,64,123,51,144,141,141,136,138,144,145,140,132,115,60,30,49,64,78,73,73,69,60,53,45,62,52,50,71,65,60,0,139,140,145,145,142,137,138,131,124,90,43,44,55,59,63,64,64,62,61,50,50,68,57,53,47,64,77,47,151,149,144,143,138,140,139,132,127,89,32,30,29,23,28,33,42,46,39,48,42,50,50,43,42,51,72,56,149,149,143,141,142,144,132,128,143,114,31,14,16,10,47,60,45,99,129,80,82,33,31,49,40,35,23,22,136,140,143,137,136,134,123,133,137,96,35,21,26,21,21,35,47,74,87,60,44,56,61,64,3,15,41,10,128,127,134,131,125,123,120,123,117,72,29,30,30,28,22,19,127,137,64,38,36,70,132,17,0,0,55,69,122,121,121,124,123,119,118,121,120,64,19,7,25,37,21,52,110,34,61,38,34,75,67,0,18,3,43,109,118,120,116,121,122,119,120,120,121,64,15,0,1,21,14,27,45,20,29,26,30,42,35,47,53,40,58,106,120,112,101,104,102,101,104,102,88,50,15,5,16,30,25,23,85,30,89,69,50,35,81,36,13,18,57,99,100,102,88,73,68,66,65,58,33,24,23,72,65,42,58,34,61,64,104,24,10,0,80,50,24,36,23,61,76,83,68,52,42,48,49,47,79,141,142,146,103,69,61,55,18,17,80,5,28,0,21,72,20,42,13,27,65,67,84,94,102,110,152,123,135,145,148,110,130,159,158,60,31,15,45,49,18,6,74,26,21,44,11,25,118,66,177,205,179,141,180,76,138,113,140,153,143,140,165,105,11,75,31,30,4,67,169,64,20,44,22,19,120,75,140,175,178,158,158,54,122,89,128,147,140,141,145,131,76,129,121,58,0,96,150,80,72,124,55,14,85,94,159,180,187,190,156,104,49,70,130,137,127,102,115,125,137,115,137,88,0,88,119,72,112,145,101,29
13,175,178,180,181,182,183,185,186,187,186,186,187,187,188,189,188,188,190,189,188,188,188,188,189,189,189,188,188,177,179,181,183,185,186,187,188,188,188,189,188,189,188,181,183,191,190,189,190,190,190,191,191,191,191,190,189,179,181,183,184,186,187,188,188,189,190,192,191,195,186,149,122,172,194,192,191,192,193,193,193,193,193,192,192,180,183,186,186,188,189,190,190,192,187,172,176,200,190,147,91,141,194,190,194,194,195,195,195,195,195,195,195,181,184,186,187,189,192,192,191,204,190,144,126,175,186,146,90,119,140,133,158,194,197,196,195,194,195,195,195,183,185,187,189,191,193,193,188,206,200,158,120,168,187,138,85,108,146,110,84,171,200,198,197,196,197,197,197,185,185,188,191,191,192,194,164,134,155,169,124,162,185,130,86,155,165,117,73,140,203,200,199,199,200,200,199,187,188,191,192,193,200,201,164,125,103,154,122,154,196,132,106,174,153,112,73,142,203,201,201,201,202,202,201,188,191,193,193,199,199,197,179,139,97,132,128,126,163,115,111,181,156,106,70,160,204,202,202,203,203,203,202,190,193,194,196,202,177,181,182,138,94,106,134,88,57,63,118,187,155,92,76,178,204,203,203,203,204,203,203,191,193,194,201,204,178,158,172,140,90,88,127,90,24,64,141,155,110,68,91,195,205,205,205,204,204,205,204,194,195,197,209,200,171,140,172,136,90,80,114,95,39,69,152,167,131,91,124,207,207,207,207,206,205,206,205,194,195,198,215,202,170,132,161,130,90,76,116,106,81,151,163,158,145,121,108,196,208,208,208,207,206,207,207,194,196,200,215,196,164,128,140,130,99,76,144,134,135,189,175,150,126,106,87,168,211,210,209,208,208,208,208,196,197,202,215,197,172,148,129,127,118,67,141,161,186,190,170,144,111,92,86,176,211,210,210,210,209,209,208,196,198,205,215,199,178,159,133,108,94,79,163,197,205,187,160,134,104,87,97,196,211,211,211,212,210,210,209,197,198,206,215,199,178,163,150,120,110,126,195,207,205,177,148,123,96,84,121,209,212,212,212,212,211,210,211,198,198,204,210,200,182,169,160,132,119,128,192,206,193,159,132,110,89,86,165,215,214,215,213,212,212,212,212,198,199,201,204,201,186,172,165,141,120,130,191,202,178,147,121,101,84,119,205,216,216,215,214,213,213,214,213,198,199,200,204,203,188,173,165,145,123,141,179,189,161,138,112,93,83,168,216,214,215,215,214,214,214,214,213,197,199,200,204,203,188,171,161,143,123,146,170,166,144,126,103,87,102,200,214,214,214,214,214,214,214,214,214,197,199,199,205,202,181,166,151,131,122,150,155,142,130,114,96,85,149,214,215,214,214,214,214,214,214,213,214,198,199,195,207,196,173,162,140,126,129,152,143,132,122,104,90,112,197,214,214,214,215,215,215,215,214,214,214,197,196,195,214,192,175,162,140,134,143,153,137,127,109,94,95,174,213,214,215,214,215,215,215,215,215,215,214,197,194,201,216,195,185,166,142,144,152,143,126,114,94,84,141,207,214,214,214,214,215,215,215,216,215,215,215,198,192,202,205,190,187,169,148,151,148,131,113,98,84,99,192,215,214,214,214,214,216,216,216,216,215,215,215,195,187,200,193,177,174,162,144,143,143,121,99,90,77,144,210,214,215,214,214,215,215,216,217,216,216,216,216,151,166,200,187,168,152,144,134,141,145,110,94,86,81,167,205,208,211,212,213,215,215,217,217,216,217,214,207
21,159,163,168,173,175,177,180,182,183,185,186,187,188,188,189,186,185,186,185,183,184,183,181,181,179,176,177,176,159,164,170,174,176,180,182,184,185,186,188,189,191,191,189,189,191,188,187,186,184,184,183,182,181,178,178,177,162,166,170,175,177,181,183,184,186,188,190,192,194,191,200,155,155,197,189,190,188,186,185,183,183,182,181,179,163,167,172,176,179,183,185,185,188,191,193,194,194,194,219,134,104,201,191,190,189,188,186,185,185,183,182,180,163,168,175,178,181,185,187,188,190,193,196,195,193,198,214,133,118,201,192,193,191,188,189,190,187,185,185,184,165,170,175,180,182,184,188,191,192,194,196,197,193,206,213,130,122,204,193,193,192,160,128,189,190,188,186,186,168,173,176,181,185,186,191,193,194,195,196,199,196,212,212,131,130,206,194,194,188,143,95,186,192,189,188,187,168,174,178,183,187,190,193,194,195,196,199,201,199,214,207,133,134,207,195,194,183,133,113,198,191,192,190,187,167,172,178,183,186,190,193,194,197,200,200,202,198,218,203,130,128,210,197,193,176,116,140,205,193,193,191,189,168,174,179,185,187,191,194,195,199,201,201,203,199,224,203,129,123,210,198,190,170,108,174,202,195,194,193,191,171,176,182,188,190,193,195,197,200,202,203,205,201,234,205,120,138,213,190,184,147,113,200,199,197,195,195,193,172,178,183,186,190,194,196,198,202,202,202,201,209,230,183,107,154,211,185,183,113,135,209,198,197,197,196,195,173,179,183,186,191,195,197,200,201,210,184,146,175,205,146,91,160,208,195,168,99,179,207,200,198,197,196,196,173,181,185,188,192,195,198,202,200,213,181,124,113,108,103,83,169,203,194,136,114,208,203,202,201,200,199,196,173,180,185,189,194,197,200,202,208,205,198,175,151,101,78,105,153,172,167,103,154,216,202,203,203,201,200,199,176,182,186,190,195,198,203,201,223,229,216,234,193,138,78,96,113,131,125,96,193,211,204,205,204,203,202,201,177,182,187,192,195,200,200,213,206,204,212,229,180,118,89,83,97,106,96,122,216,208,208,207,206,205,203,202,177,183,188,193,197,201,200,223,173,161,197,167,173,130,99,86,81,95,83,158,222,208,209,208,207,206,203,203,178,183,189,194,199,203,201,227,203,167,134,101,182,159,111,91,80,86,84,182,220,210,210,210,209,207,205,206,178,183,190,195,199,202,206,228,188,136,110,84,156,180,131,101,89,86,78,182,221,211,211,211,210,208,206,206,179,184,190,196,201,201,212,230,178,159,155,117,187,201,151,129,96,91,78,180,224,210,211,212,211,211,208,206,179,185,191,197,202,199,221,232,190,182,142,166,253,203,157,146,105,94,86,188,224,214,214,213,211,211,210,209,179,186,191,198,202,201,223,234,214,170,150,235,240,187,149,142,112,98,91,194,224,216,215,213,213,212,211,210,181,187,192,199,204,202,222,249,215,162,173,242,221,182,144,130,117,99,103,208,223,217,217,216,215,213,212,211,178,186,193,197,203,201,222,239,185,180,177,239,216,187,166,119,108,99,117,220,220,217,217,217,214,213,213,212,176,184,192,195,199,200,216,215,182,208,166,236,217,177,164,125,105,98,135,224,216,217,216,216,213,211,211,210,177,184,191,196,200,202,211,205,221,215,172,232,200,163,140,118,109,97,150,226,217,219,216,215,214,212,212,210,177,185,192,197,201,204,207,210,224,199,165,214,184,148,120,108,106,93,168,227,218,220,218,216,215,212,213,211
11,139,141,145,148,151,152,155,157,158,159,159,160,159,160,160,160,160,159,158,157,157,155,152,152,151,149,146,145,140,144,147,150,152,154,157,158,160,161,161,161,160,161,161,161,160,160,159,158,158,156,154,153,152,150,149,147,143,147,150,153,155,157,159,161,163,163,164,163,163,157,146,163,161,161,160,159,158,157,156,155,153,152,151,149,147,150,152,155,158,161,163,164,165,165,166,165,169,169,112,160,164,163,163,162,160,160,159,156,155,154,154,132,149,153,155,158,161,164,166,166,167,168,168,167,176,178,102,156,167,166,165,165,164,162,160,159,157,157,151,90,151,155,158,161,164,166,167,168,170,171,171,169,186,176,93,156,170,168,167,166,166,165,163,161,160,160,138,61,153,157,159,164,166,168,170,171,173,174,173,173,204,173,96,164,172,171,170,169,167,167,165,165,164,164,127,50,157,160,163,166,168,171,173,175,174,164,180,165,194,161,103,170,174,173,173,172,170,170,168,168,166,166,138,69,159,163,166,169,171,174,175,198,180,126,156,140,111,137,104,156,177,175,175,175,174,173,171,171,169,167,155,87,161,164,168,171,174,175,198,213,198,154,106,118,90,110,98,134,181,178,177,177,176,175,174,173,172,170,166,108,163,166,170,173,175,191,222,182,182,172,110,94,90,118,102,139,184,181,180,180,179,178,177,175,174,172,172,147,165,169,172,175,182,218,202,147,143,167,101,87,84,116,101,145,186,184,183,182,181,180,179,177,176,175,173,167,167,170,174,175,201,224,174,135,147,145,79,90,83,108,95,156,188,186,186,186,183,182,181,179,178,177,176,173,168,172,176,177,212,216,160,113,115,118,78,88,82,105,92,173,189,187,187,186,185,183,182,180,180,179,178,176,170,174,177,178,218,218,171,121,82,79,96,77,92,104,95,182,191,189,188,187,187,185,183,182,182,181,180,178,171,176,179,181,227,217,165,113,78,66,100,74,114,106,74,151,194,192,191,189,185,179,175,173,177,183,182,180,173,177,181,187,235,216,165,121,85,66,75,66,109,97,64,90,168,185,177,161,149,140,133,123,118,150,184,181,174,178,181,192,237,214,168,129,95,75,78,86,104,106,99,99,110,125,132,142,144,130,112,104,94,114,183,184,176,180,183,194,234,211,170,133,102,82,86,123,147,147,137,125,112,115,127,129,117,104,119,154,166,172,185,184,177,182,185,195,233,213,178,142,110,90,102,145,148,137,131,122,107,98,99,108,136,161,186,194,192,190,187,185,179,184,186,200,233,216,183,144,121,100,114,141,141,130,115,107,90,89,131,180,195,196,195,193,193,192,188,186,181,186,185,212,235,216,180,141,121,104,112,125,129,120,99,89,111,165,196,201,199,196,196,194,194,193,190,188,182,186,191,229,229,201,165,132,111,104,112,110,114,107,90,135,193,204,201,201,199,198,197,196,195,194,192,190,183,186,220,236,218,189,154,126,109,107,109,98,97,100,150,202,207,204,202,201,200,199,198,197,195,195,194,192,183,194,236,229,204,179,149,129,114,104,97,87,122,181,207,208,206,205,203,202,201,201,199,198,197,196,194,193,182,206,237,221,180,150,139,126,107,95,81,112,192,211,208,208,207,206,205,204,203,202,200,200,199,196,195,193,184,220,235,212,160,129,121,113,96,84,94,179,211,210,210,209,208,207,206,204,204,203,201,201,200,197,195,194,194,231,233,199,140,121,114,104,87,79,150,210,212,213,212,210,209,208,207,205,204,204,203,202,201,199,197,196
20,132,134,136,139,142,144,147,148,151,155,153,154,155,156,159,160,145,161,167,166,165,166,167,166,167,167,169,168,133,136,139,141,143,146,150,150,152,155,156,157,158,157,163,172,112,136,146,158,169,167,168,168,168,168,169,169,134,137,142,144,145,148,150,152,153,155,158,160,161,158,168,178,119,151,125,119,176,168,170,169,169,169,169,169,135,138,142,144,146,149,151,153,154,157,159,159,161,161,171,171,124,172,143,107,173,169,171,171,171,170,171,172,137,139,142,146,147,149,152,154,157,159,159,160,163,160,179,184,135,171,146,107,171,171,171,172,172,172,171,172,136,141,144,146,149,150,153,155,157,159,160,162,164,160,189,182,142,184,153,110,170,173,172,173,172,172,172,173,137,142,145,147,150,152,154,157,158,160,161,163,167,162,189,164,145,187,151,107,169,176,174,174,174,174,174,175,139,142,145,148,150,152,155,158,161,160,168,139,137,172,186,147,143,184,143,104,171,178,176,176,177,176,176,176,139,143,146,148,151,154,157,159,160,167,169,145,94,137,189,142,149,186,136,104,174,178,177,176,177,177,177,177,140,144,147,148,152,156,156,157,158,157,171,147,127,107,128,127,141,172,133,111,177,176,178,178,178,178,177,178,140,144,147,149,153,157,153,180,175,118,148,169,165,147,101,88,110,151,126,113,181,177,179,179,179,179,179,178,140,145,148,150,153,156,160,179,174,139,134,160,175,159,121,75,96,129,112,114,184,178,179,180,180,179,180,179,142,146,150,151,155,156,164,170,147,161,111,75,144,179,150,100,93,109,96,114,187,179,181,181,181,181,182,181,142,146,150,151,155,157,165,176,118,114,100,67,100,187,174,128,84,97,91,110,187,180,182,182,183,182,181,181,142,146,150,153,155,156,165,174,151,136,113,93,103,168,195,153,99,87,86,109,188,181,183,183,184,183,182,182,143,147,151,152,156,156,170,194,161,131,113,106,121,150,206,166,125,88,76,103,189,181,184,184,184,184,183,183,144,148,151,152,158,157,176,188,144,123,118,125,133,177,199,166,137,93,70,104,190,181,184,184,184,184,183,183,144,149,152,154,157,156,179,188,153,134,135,128,153,215,189,155,137,95,66,109,191,182,184,185,184,184,184,184,144,150,154,155,158,156,181,193,158,140,138,138,180,218,189,153,133,102,67,122,192,183,186,186,186,186,184,185,145,151,154,156,159,156,179,198,168,143,139,158,191,201,182,158,132,103,66,134,193,183,187,186,186,185,184,184,146,149,152,154,159,156,179,201,167,157,147,161,200,190,174,156,125,104,67,154,191,183,186,186,185,185,185,185,146,150,153,156,158,159,178,200,173,172,159,159,201,187,171,157,122,97,71,167,190,185,186,186,186,186,185,185,146,151,155,157,158,161,169,197,184,181,176,158,189,179,166,154,125,91,72,166,191,186,186,186,186,186,186,185,146,150,154,155,159,165,163,186,190,185,178,166,172,176,159,154,122,92,75,172,190,186,187,186,186,186,186,186,147,151,154,156,159,164,162,178,193,181,167,161,167,169,153,163,129,90,88,182,187,187,187,188,187,187,187,187,146,151,154,155,159,164,162,177,189,167,159,148,160,168,151,164,130,86,108,192,185,187,187,188,187,187,187,187,147,151,152,156,159,164,165,180,185,163,159,149,158,173,146,160,122,79,139,195,184,188,188,189,188,187,187,187,146,151,153,157,158,164,163,182,196,178,167,157,161,175,137,151,113,80,168,190,186,189,189,188,188,188,188,188
5,170,172,171,173,175,176,177,176,178,178,179,179,177,179,183,179,179,179,177,177,175,174,172,171,171,169,167,166,174,175,176,177,180,181,181,181,182,182,184,183,184,181,163,182,182,181,181,181,179,178,175,174,174,172,172,170,181,181,181,182,184,185,186,185,187,189,188,192,188,199,115,161,193,186,187,185,183,181,181,179,179,177,176,172,184,185,186,187,188,189,189,190,193,193,190,156,177,217,121,134,203,189,190,189,188,187,186,184,183,182,180,178,188,190,191,192,193,194,194,196,197,194,206,137,135,228,121,113,211,193,195,193,192,190,190,189,188,185,184,181,192,193,196,195,197,201,201,200,201,197,218,157,117,226,115,112,215,197,198,197,195,194,193,193,192,190,188,185,197,195,199,200,201,202,197,202,205,201,225,164,103,224,130,120,218,200,203,203,200,198,197,196,196,194,191,189,200,201,202,205,204,210,164,161,216,202,227,173,103,219,122,129,221,205,208,208,212,204,200,200,200,197,195,194,204,206,207,208,206,218,174,118,217,204,229,178,93,210,107,136,223,208,209,198,167,201,206,203,201,200,200,198,207,209,210,210,209,223,197,94,214,211,226,172,76,212,133,139,225,208,215,204,137,151,221,207,205,205,204,202,208,210,211,212,214,220,198,92,210,216,218,191,82,187,151,139,226,203,192,177,203,155,183,212,210,208,206,204,211,213,214,215,218,219,225,105,187,223,212,206,84,144,158,150,220,212,160,72,181,174,128,213,213,210,208,207,215,215,217,219,219,221,231,148,147,228,215,211,87,129,158,151,211,209,150,140,204,136,159,225,214,213,211,208,217,218,219,219,221,220,214,220,168,181,207,191,126,146,141,125,179,180,142,215,197,108,211,219,216,215,212,211,218,221,221,222,223,226,206,228,209,162,165,163,136,139,131,127,182,172,157,225,161,101,229,218,220,217,216,216,221,224,225,225,225,229,221,223,238,189,154,151,121,127,127,129,176,168,178,235,122,107,238,221,221,220,219,218,223,225,226,228,228,228,229,225,255,216,138,133,110,107,123,135,172,159,182,241,118,136,242,221,223,222,221,219,223,225,227,228,228,228,229,230,255,225,143,101,104,102,118,156,181,145,173,238,128,153,242,223,225,226,224,220,226,226,228,229,230,230,230,231,255,221,154,101,103,102,145,168,197,200,165,221,132,159,243,225,227,227,225,222,227,228,229,231,234,234,233,228,252,216,158,106,95,118,161,184,215,221,176,176,105,155,246,227,228,227,225,225,227,228,230,233,234,234,236,226,249,220,167,107,96,130,181,209,212,212,180,121,64,142,249,229,231,228,227,226,229,232,233,235,235,236,239,228,244,222,168,112,99,128,196,224,220,195,147,87,47,187,244,231,234,232,228,227,231,234,234,235,236,238,240,229,231,220,165,116,108,124,211,230,204,169,125,55,126,249,234,236,235,233,229,228,233,234,235,236,236,238,241,224,214,218,164,130,117,123,205,207,182,150,93,74,232,244,235,236,236,235,231,229,231,233,234,236,237,239,244,227,208,206,156,146,117,124,186,190,171,128,51,164,255,239,239,238,236,235,233,229,230,232,233,235,236,236,240,230,203,195,158,147,109,120,171,174,145,68,94,248,241,241,238,238,237,235,234,232,230,232,234,236,236,237,242,228,211,199,160,144,117,101,148,130,83,67,220,246,239,240,237,238,236,235,234,232,231,234,236,236,236,238,243,222,216,188,137,132,116,92,121,87,52,184,255,239,243,240,239,240,236,235,233,231
19,157,160,162,162,163,165,165,164,165,166,166,166,165,166,164,162,167,165,161,161,161,160,160,160,158,159,158,157,160,161,163,163,164,166,167,166,167,168,168,168,167,166,166,159,128,148,167,162,163,162,162,161,160,159,159,158,161,162,164,166,166,167,169,169,168,168,168,170,170,166,180,157,107,93,170,165,165,164,163,162,161,160,160,160,162,163,165,168,168,169,170,171,171,169,169,171,169,171,188,157,123,77,160,168,166,166,165,166,162,161,162,162,163,166,168,169,170,170,171,172,172,171,171,173,170,177,185,152,118,72,160,171,167,168,165,163,166,163,163,164,164,167,169,169,171,173,174,172,172,172,172,174,169,182,181,132,100,66,157,167,163,159,163,185,150,161,165,165,166,168,169,171,172,174,174,174,174,174,173,173,169,179,176,139,133,146,171,159,169,165,176,215,115,154,168,165,167,169,172,175,174,175,175,175,174,175,173,177,180,178,170,168,176,191,184,164,163,164,141,119,120,169,167,167,169,170,173,175,176,177,176,175,173,180,189,199,202,191,171,150,144,137,134,114,104,104,112,134,168,168,167,168,172,173,174,175,177,177,180,182,182,196,200,197,187,174,168,165,155,90,90,120,143,156,173,178,170,171,170,168,174,174,176,177,177,183,200,192,189,184,186,186,183,183,180,178,168,90,127,188,177,177,173,172,172,171,171,169,175,175,176,178,175,193,208,195,187,186,192,194,197,188,179,173,143,80,101,185,172,174,174,172,173,172,172,170,175,176,179,181,177,192,203,183,178,189,197,199,187,178,180,182,165,85,70,176,176,175,174,173,173,173,173,171,176,177,180,182,179,194,193,177,179,182,176,176,181,190,180,183,175,92,53,142,184,174,176,175,173,174,173,172,178,179,180,182,182,199,179,180,182,172,160,186,189,178,172,171,145,88,51,116,188,176,177,176,174,174,174,173,179,180,181,183,184,192,188,192,190,191,196,196,183,175,167,154,125,79,51,95,190,178,179,177,177,175,175,174,180,181,183,185,185,186,210,199,191,191,192,181,167,160,172,184,175,102,40,124,190,178,180,179,177,176,176,175,182,182,185,187,188,183,206,204,184,179,162,130,156,193,190,177,175,108,67,180,184,182,180,180,179,178,178,176,182,184,187,186,189,184,188,197,182,177,167,175,197,188,166,153,145,94,62,172,186,182,182,181,181,180,179,178,181,185,187,188,189,188,185,193,203,195,187,191,184,167,155,141,120,72,71,182,184,182,183,183,183,182,180,178,184,186,187,189,190,190,187,190,203,189,172,176,168,153,131,97,67,76,162,189,184,184,184,184,183,183,182,181,185,188,189,189,192,193,183,190,192,181,163,157,135,112,84,58,41,151,199,184,186,184,184,185,183,183,182,182,186,188,190,192,192,194,184,187,188,174,152,139,122,95,71,58,95,197,186,188,187,187,187,186,184,183,182,182,185,188,191,193,193,194,185,178,184,169,144,133,131,95,71,61,108,201,188,189,189,189,189,188,187,184,184,182,186,188,190,194,194,196,184,172,174,167,140,123,99,79,72,66,73,191,192,190,189,189,189,188,188,186,184,183,185,188,189,192,193,196,183,172,164,166,154,134,101,82,75,66,71,186,191,189,189,187,187,187,187,184,181,181,186,188,190,191,192,196,175,175,171,161,148,136,105,83,75,64,79,192,189,190,189,187,187,187,186,184,183,182,186,188,190,192,193,198,170,183,189,176,145,116,92,76,73,57,122,199,188,190,189,188,188,188,187,186,183,182
0,190,190,190,190,189,190,190,189,189,188,187,188,187,186,185,185,185,184,182,182,181,180,180,179,178,177,176,175,190,191,190,191,191,190,190,190,189,188,188,189,188,188,187,186,185,185,185,184,182,181,180,179,178,177,177,177,190,191,191,191,192,192,192,191,190,190,189,189,188,188,188,187,185,184,184,183,183,182,180,180,179,178,177,177,192,192,192,192,192,193,193,192,191,190,190,190,192,192,188,189,190,187,183,183,182,183,182,181,180,179,177,177,192,193,194,194,193,193,192,192,193,193,190,181,159,167,192,176,165,178,189,186,187,185,182,183,181,180,179,178,193,195,194,195,194,192,192,186,170,178,188,166,142,120,154,156,133,119,170,166,155,174,186,178,180,181,180,179,195,195,194,194,194,193,192,179,156,138,162,175,145,119,127,164,139,114,113,144,120,108,166,157,155,185,179,178,195,195,195,195,194,194,194,190,173,151,130,173,151,126,127,168,145,118,117,156,136,99,116,155,132,186,179,179,195,195,195,195,194,197,191,185,177,159,120,161,156,129,127,167,147,119,109,152,137,105,97,147,126,180,182,180,196,196,196,196,195,199,188,159,178,145,112,162,153,123,121,161,140,112,97,136,123,98,94,147,117,155,188,181,197,196,197,196,195,195,169,139,174,131,110,157,136,108,116,151,130,104,100,147,131,91,97,152,135,119,179,183,196,196,197,197,198,195,179,157,172,140,121,151,136,105,115,152,130,95,130,164,137,84,101,152,145,110,143,190,197,198,197,197,199,192,175,157,160,147,124,155,151,107,128,165,140,99,151,170,116,80,135,158,145,104,133,190,198,199,199,198,196,174,153,140,130,118,114,164,149,104,134,170,143,101,80,105,76,108,162,160,133,95,166,185,199,199,199,199,196,177,155,135,115,107,104,128,132,101,98,132,118,98,102,78,95,156,162,151,107,124,190,182,199,199,200,197,191,176,158,136,119,118,120,114,120,118,106,110,135,159,164,151,140,158,151,129,96,171,188,183,200,200,200,197,190,179,161,140,121,115,121,126,139,148,153,165,173,166,157,157,136,139,142,101,119,193,183,185,200,200,201,199,193,180,163,147,128,121,122,133,156,166,174,176,171,161,154,149,128,123,127,86,162,191,184,185,200,201,201,199,194,180,167,152,136,135,125,152,178,178,178,175,168,157,151,145,121,112,95,112,193,187,187,185,201,201,200,199,197,184,171,158,147,145,149,175,183,180,180,174,164,154,146,135,113,91,95,179,190,187,188,186,201,201,201,199,197,185,174,164,156,151,171,179,182,183,179,166,159,148,136,123,94,88,175,193,187,188,187,187,201,202,201,197,195,189,178,168,157,155,178,179,183,182,172,158,149,140,127,104,82,168,195,187,190,189,188,187,201,202,202,196,193,190,181,171,158,154,176,180,177,173,161,148,137,129,109,81,159,198,188,190,190,190,188,188,202,203,203,199,194,192,184,177,166,156,173,178,169,162,150,137,125,106,79,151,200,190,192,191,190,190,189,188,201,201,203,200,197,189,184,178,171,161,171,171,161,150,142,127,105,79,149,200,191,193,192,191,190,189,189,189,201,201,203,199,194,187,191,188,178,167,168,164,149,140,132,108,78,153,203,193,194,194,192,192,191,190,188,189,202,202,203,198,196,186,193,188,174,164,160,157,141,127,115,85,156,205,194,196,196,195,193,193,191,190,189,188,203,203,201,196,191,180,190,180,169,163,156,145,132,120,92,125,206,195,197,195,196,194,194,193,191,191,191,189
6,168,168,169,169,169,170,170,169,171,171,171,172,172,171,172,172,170,171,171,172,171,171,170,170,169,169,169,168,169,169,169,171,171,171,171,171,171,171,171,172,173,173,173,173,173,173,173,173,172,173,172,171,171,170,169,170,169,170,170,171,171,171,172,172,171,171,171,172,173,174,174,174,173,173,174,174,175,174,173,172,172,170,170,171,169,170,170,171,172,171,173,174,173,173,173,172,174,174,175,176,176,176,174,176,174,173,173,174,171,173,173,172,170,171,171,171,174,173,174,174,174,175,176,175,175,175,173,169,165,166,165,166,162,155,143,144,160,157,171,174,171,172,172,173,173,174,174,174,175,173,172,169,162,162,163,157,160,163,176,176,166,158,145,136,147,129,166,176,171,172,172,174,174,176,175,171,163,157,160,159,160,172,173,161,153,155,158,151,138,124,117,120,127,145,176,175,170,171,173,175,175,173,170,165,157,149,148,152,155,150,142,128,117,110,110,122,130,139,151,164,172,177,176,175,171,172,173,171,170,169,167,168,157,139,120,113,108,97,95,96,99,130,164,177,180,182,181,179,177,176,175,175,170,170,169,165,163,165,167,166,163,150,113,85,75,80,103,133,163,182,180,179,176,175,176,176,176,175,174,174,170,164,162,164,166,163,166,169,169,142,107,82,77,80,101,179,183,175,177,177,176,175,176,176,176,175,175,174,162,163,164,163,162,166,172,171,146,105,93,82,77,84,81,99,166,184,176,177,177,176,176,176,176,175,175,175,164,165,162,163,163,169,168,168,157,135,100,76,75,89,87,75,80,158,184,177,177,177,177,177,177,176,176,175,169,165,163,165,168,167,168,177,178,154,109,76,71,83,99,97,81,83,175,180,179,179,179,178,176,176,176,175,166,167,166,164,167,171,170,180,172,135,100,79,78,76,83,89,92,70,148,185,177,178,178,178,178,176,176,176,168,167,165,164,166,168,165,170,163,126,92,79,80,80,71,72,78,93,169,185,182,182,182,182,181,181,178,175,170,165,162,160,156,158,160,164,163,138,99,69,76,84,85,82,69,134,163,163,166,168,171,169,165,164,173,179,166,163,162,161,158,161,164,170,173,149,100,72,64,73,100,82,77,90,89,93,95,93,90,98,129,159,183,182,162,167,166,163,163,167,169,175,170,136,88,75,76,67,75,86,87,91,88,87,81,103,129,156,182,182,188,188,164,165,161,160,159,156,152,161,141,111,89,80,79,76,75,93,102,90,98,112,144,182,193,174,163,168,170,181,160,154,150,152,145,136,135,136,118,101,92,87,84,76,77,86,108,152,174,180,186,175,169,170,161,154,164,168,148,150,144,137,130,126,126,121,106,91,88,89,88,79,87,130,186,198,190,181,171,160,152,154,158,151,144,148,129,133,131,123,117,111,101,99,100,91,92,88,90,119,171,200,190,176,174,170,159,146,143,143,151,147,139,143,95,100,100,98,90,86,87,90,91,94,85,117,170,198,198,191,181,171,166,170,150,131,138,138,141,144,139,139,74,74,80,83,84,89,92,92,95,82,130,185,195,189,182,177,168,167,167,167,144,116,130,134,130,139,135,132,83,83,91,93,89,90,92,93,81,137,194,177,179,167,174,170,157,162,167,168,140,106,116,127,128,133,129,135,88,89,90,89,89,90,89,82,141,192,171,164,165,165,172,160,149,152,163,166,142,102,102,119,123,126,133,130,89,88,88,88,90,88,97,152,188,174,165,156,163,165,168,153,142,142,156,167,144,104,97,111,122,128,137,123
0,191,192,193,193,194,195,195,195,196,196,195,194,195,195,195,195,194,194,195,195,194,194,196,196,193,194,194,193,192,194,194,194,194,196,197,196,197,196,195,196,197,197,194,196,198,201,196,198,197,196,197,196,195,196,196,196,194,195,196,196,196,196,197,197,197,197,197,196,196,198,209,189,154,171,203,188,194,202,198,199,197,196,198,198,195,195,196,196,198,197,196,198,198,197,200,198,166,163,215,183,151,125,132,147,139,182,189,150,192,201,199,198,196,197,197,198,200,198,198,199,200,201,225,207,169,130,180,191,169,147,81,137,136,119,174,114,177,207,198,199,197,198,199,199,199,200,198,205,182,172,230,205,180,145,174,211,172,153,99,158,149,114,148,121,168,208,200,201,197,198,200,200,200,200,203,231,181,136,189,219,185,154,162,229,185,157,105,172,152,105,121,127,141,216,199,202,197,198,200,200,202,198,216,225,191,160,162,232,192,153,147,229,189,153,102,175,147,93,107,140,92,201,202,203,198,200,200,201,197,215,211,210,203,175,137,215,200,150,128,226,186,141,82,141,136,85,95,152,78,148,215,201,199,201,201,200,202,219,181,204,213,182,125,189,206,148,105,196,175,127,73,112,121,78,97,156,89,119,216,202,201,201,204,199,213,210,167,183,210,180,122,159,198,141,88,154,161,121,78,95,109,69,116,167,101,123,217,205,200,202,203,201,213,204,175,167,190,163,113,127,178,133,79,120,155,117,76,98,111,81,161,179,112,126,217,206,198,200,200,206,215,192,164,135,173,154,109,103,169,131,70,95,158,113,71,123,114,110,191,175,112,135,217,204,199,200,200,201,227,208,174,124,143,157,99,92,163,137,68,89,166,114,137,186,149,119,180,181,110,148,217,205,200,202,200,204,225,212,179,139,101,136,120,87,167,151,80,99,165,168,186,178,162,130,129,166,103,152,216,204,201,202,200,207,230,216,191,160,121,109,133,107,164,162,145,184,193,189,177,165,145,134,111,116,88,149,217,204,202,202,201,207,231,222,198,171,156,144,139,162,175,187,205,205,202,191,175,158,136,119,112,94,77,146,219,205,202,202,201,207,225,224,207,186,173,163,152,156,180,194,202,202,204,192,169,154,133,111,100,94,73,170,217,208,200,202,201,203,219,221,214,200,189,169,161,158,172,190,201,200,196,186,164,149,129,108,98,80,129,212,211,210,203,206,206,199,217,220,221,210,194,174,162,161,173,194,204,201,188,179,162,145,123,104,80,115,209,208,209,209,165,169,176,167,202,222,225,211,194,178,165,161,173,199,202,194,182,174,158,136,115,93,92,199,217,214,216,217,97,99,105,89,153,225,214,205,196,183,170,156,173,195,190,179,167,158,145,124,106,88,116,169,168,172,170,167,105,105,106,92,121,220,201,196,196,187,174,155,168,190,182,166,147,134,124,114,95,96,98,96,94,90,113,149,103,104,106,99,113,213,189,193,198,188,172,155,163,188,177,155,124,109,104,95,98,107,100,98,129,177,216,214,102,102,103,101,109,210,190,193,199,183,173,161,159,180,171,140,104,93,88,98,106,108,138,183,222,223,210,192,102,101,103,102,104,215,206,194,197,180,168,165,152,164,161,125,93,87,89,96,120,195,232,241,227,218,212,191,102,103,102,101,100,211,214,203,195,178,170,170,147,154,154,116,89,85,88,146,221,239,236,229,219,226,229,213,103,102,102,102,100,200,212,210,194,177,170,170,144,146,150,112,84,73,151,228,226,229,233,217,213,222,232,232
20,165,170,175,181,185,185,188,191,193,196,197,198,199,199,199,201,201,200,200,200,199,199,198,198,198,196,194,192,168,173,178,183,186,188,191,193,195,198,199,200,202,202,203,201,202,205,204,204,201,200,200,200,200,198,198,195,170,174,180,184,188,190,194,196,199,201,201,203,206,207,201,229,196,180,208,208,206,205,205,205,202,201,200,198,174,177,182,188,190,194,196,199,201,203,205,207,207,209,200,250,190,154,196,176,214,207,208,208,206,205,203,201,176,180,184,190,193,197,201,201,203,205,207,209,210,213,204,249,188,183,219,134,213,210,210,209,209,208,206,204,178,183,187,192,196,198,202,204,206,207,211,210,211,214,207,255,208,186,242,136,205,215,212,212,212,210,209,207,180,184,189,194,197,200,204,207,209,211,212,212,215,216,211,255,208,190,255,152,199,219,216,216,215,213,211,210,182,187,191,196,200,203,207,209,210,212,214,215,213,214,224,255,192,209,255,154,192,226,218,218,217,214,213,212,185,189,193,198,202,205,209,211,214,215,218,217,242,232,202,255,191,222,252,142,191,228,219,219,220,217,216,215,186,192,197,200,205,208,210,214,216,216,215,228,255,253,161,166,172,220,246,142,199,229,223,221,222,220,218,217,189,194,199,202,207,211,214,217,216,222,255,255,188,216,197,149,135,179,212,145,207,231,225,223,223,222,220,218,191,195,200,204,209,214,217,219,214,245,255,250,228,197,231,242,190,122,157,135,213,231,226,225,225,224,221,220,193,198,202,206,210,215,217,221,217,250,227,147,193,124,177,255,208,127,112,117,216,231,229,227,227,227,225,223,194,199,204,208,213,216,218,224,218,254,214,138,126,96,95,218,249,170,106,106,215,235,231,230,229,229,227,225,195,200,206,210,214,217,220,225,220,255,244,206,157,124,119,164,255,215,125,96,218,239,233,232,231,231,230,227,198,201,207,212,215,219,223,226,222,255,255,187,144,134,154,166,255,248,158,92,208,242,234,234,233,233,232,229,199,203,209,214,216,221,225,228,224,255,245,179,154,158,166,214,255,253,186,104,199,244,235,236,235,235,233,231,200,204,209,214,217,221,226,230,227,255,255,202,177,179,190,255,255,240,190,110,199,247,238,239,237,236,235,233,200,206,211,215,219,223,228,232,228,255,255,221,181,199,220,255,255,231,181,115,201,252,240,240,238,238,237,235,200,205,210,215,220,223,228,234,229,255,255,234,197,204,248,255,255,224,176,113,204,251,240,241,240,239,238,238,200,206,211,216,219,224,229,234,228,255,255,236,221,208,255,255,249,218,165,106,199,252,239,241,239,238,239,237,204,210,215,217,221,226,231,236,232,255,255,247,244,224,254,255,238,209,164,96,198,253,240,242,241,240,241,235,206,209,213,217,223,227,231,236,235,246,255,255,252,241,227,253,215,200,152,91,203,255,242,244,244,240,242,246,205,209,215,219,224,226,231,236,237,236,255,255,252,227,204,223,193,199,147,94,224,252,243,246,243,250,242,193,209,213,218,223,226,230,233,238,249,248,255,255,236,193,173,199,190,193,128,112,252,247,245,244,254,225,137,92,195,203,209,214,220,227,233,230,183,149,252,255,205,172,160,205,188,178,92,176,255,253,255,255,222,120,94,85,132,134,137,138,141,144,147,156,76,0,198,255,215,170,170,224,166,141,70,93,178,184,186,189,119,83,81,67,100,107,111,112,109,107,109,127,136,66,126,242,210,172,192,224,131,106,43,7,82,109,111,121,94,63,57,61
19,159,161,162,164,166,166,168,169,169,170,170,170,171,170,170,169,169,169,169,168,167,168,167,165,164,164,162,161,160,162,163,165,167,169,169,170,172,173,172,172,173,172,172,171,171,171,170,169,169,169,168,168,166,167,165,165,162,164,166,168,170,170,172,173,174,174,174,174,174,175,174,174,173,172,172,172,171,169,170,170,168,168,165,165,163,165,167,169,171,172,174,174,175,175,175,175,175,175,175,175,176,174,174,173,171,171,170,170,170,169,168,167,164,167,168,170,170,173,174,175,176,177,177,177,177,177,177,175,176,175,175,174,174,173,172,172,170,170,169,168,166,168,169,171,172,174,176,177,178,179,179,180,180,179,177,178,177,177,176,176,175,174,174,173,172,172,171,169,167,169,172,173,174,176,177,179,180,180,180,180,179,178,179,174,183,179,177,177,176,176,175,174,174,173,172,171,168,170,173,175,175,177,179,180,182,182,181,182,188,181,194,161,130,183,178,177,178,177,177,176,175,173,173,173,169,171,174,176,177,180,180,182,182,183,185,161,142,165,198,182,88,145,189,185,182,181,181,179,177,178,176,174,170,172,175,177,180,181,181,182,183,182,172,140,103,106,123,134,117,104,126,137,161,165,170,172,176,170,166,172,171,174,176,179,181,181,183,185,182,171,168,174,168,121,70,94,119,110,109,94,103,120,128,115,136,119,124,168,173,175,177,180,180,182,181,178,162,168,182,184,152,97,67,62,84,96,104,94,98,114,119,116,120,122,118,155,174,175,179,180,182,181,178,170,166,168,172,173,155,114,67,61,60,64,68,63,68,75,84,85,84,89,94,110,174,175,179,181,181,179,178,175,172,163,171,179,179,145,83,59,64,53,74,108,127,129,128,127,136,138,149,166,175,177,180,182,181,179,178,177,174,172,178,181,178,147,87,59,64,51,128,203,192,191,190,191,191,189,187,184,177,178,178,181,179,181,179,179,180,177,175,174,167,153,102,59,60,61,67,182,190,185,184,183,184,183,181,183,174,176,185,185,184,181,182,183,183,175,169,179,177,165,118,63,58,66,46,117,201,185,186,187,186,185,184,184,176,199,202,189,183,184,185,182,175,173,178,183,179,149,109,71,56,69,49,93,201,186,188,188,187,186,185,184,198,205,195,185,180,181,178,175,172,171,165,165,156,127,102,80,64,66,53,149,200,188,189,188,189,188,186,185,205,201,187,181,180,177,174,173,166,164,156,151,145,128,102,84,76,67,43,154,201,190,190,189,188,188,187,186,201,197,188,177,171,172,168,170,168,161,155,147,140,147,107,81,81,68,60,181,197,191,192,191,189,188,188,187,198,194,184,172,160,162,160,161,166,156,148,130,126,142,93,75,87,66,87,205,190,192,192,191,190,189,189,188,194,189,175,159,148,145,149,147,153,143,125,103,104,95,54,74,90,58,127,202,191,192,192,192,191,191,189,188,185,177,158,145,136,120,125,130,135,116,96,93,88,60,69,81,76,136,199,196,194,193,193,193,192,192,190,189,184,156,151,143,119,102,92,102,106,94,83,76,61,58,76,106,159,202,194,195,194,194,194,193,192,192,191,189,152,141,153,139,109,83,77,77,79,68,99,155,144,147,172,194,202,194,195,194,194,194,193,193,192,191,190,188,101,143,149,126,97,63,44,45,92,144,189,205,204,202,200,196,195,196,196,195,195,194,193,191,190,190,189,188,51,92,89,61,41,25,13,12,173,210,195,196,195,196,196,196,196,196,196,196,195,195,194,193,192,190,189,189
24,88,97,105,110,114,120,123,125,129,132,134,138,141,143,145,146,148,149,151,153,155,157,158,157,158,158,157,158,90,99,106,112,117,121,123,127,131,133,136,142,143,145,147,149,151,153,155,158,158,159,160,158,158,158,159,160,93,101,109,113,118,122,125,129,133,135,139,142,147,148,149,151,152,155,158,159,160,160,160,160,161,161,161,162,94,102,111,117,120,125,125,130,134,137,140,144,148,149,150,153,154,158,159,160,161,162,164,161,163,165,164,165,97,104,112,118,122,125,129,131,136,140,144,145,148,149,150,155,157,159,158,162,164,166,166,164,166,165,165,166,98,106,113,120,124,135,120,134,137,141,144,148,150,151,154,157,158,160,161,163,164,166,165,166,167,167,167,165,98,107,114,116,146,143,73,131,140,142,145,150,152,154,158,159,160,162,164,165,165,166,167,168,169,169,168,171,101,109,116,119,170,107,71,137,141,145,148,151,154,155,159,159,162,164,165,169,172,172,168,169,171,172,171,172,103,113,113,137,171,81,89,144,140,148,153,153,156,161,162,161,162,166,166,154,126,143,173,171,172,172,172,172,103,115,108,163,158,65,110,145,146,141,131,153,153,131,148,168,165,170,135,91,64,75,173,175,174,174,174,174,104,114,115,188,132,104,125,126,171,144,85,123,154,116,90,148,176,156,95,57,59,123,178,174,175,176,176,175,108,112,127,192,133,187,142,113,169,140,73,130,141,119,72,97,194,133,76,56,149,182,175,176,177,177,177,176,108,108,149,189,174,197,152,113,161,127,63,123,129,95,55,139,169,108,59,104,190,173,177,178,179,178,178,179,110,107,165,188,172,220,152,105,154,119,53,42,106,99,108,155,116,77,58,163,180,178,180,181,180,181,181,180,113,107,176,206,167,206,144,89,161,100,75,92,141,148,128,120,104,55,100,189,178,182,182,181,181,181,182,182,110,122,191,189,162,181,125,70,154,163,174,179,152,124,102,87,92,55,150,189,181,182,182,183,183,183,183,184,102,155,166,147,130,151,136,103,188,211,189,167,140,112,85,76,71,72,183,184,184,184,184,185,186,186,185,185,109,195,170,140,117,117,139,197,217,200,188,169,131,99,74,72,52,117,196,183,187,186,186,187,186,186,186,186,137,217,171,147,131,104,140,225,200,186,174,145,116,87,67,64,46,157,192,187,187,188,189,190,188,188,188,188,179,221,172,163,151,163,204,214,191,168,155,125,96,77,65,61,53,170,192,188,188,188,189,190,191,191,190,190,203,222,184,173,162,192,206,188,169,149,139,110,84,71,65,55,76,190,188,189,190,190,190,193,192,191,191,191,208,234,195,175,159,177,189,174,161,134,129,98,77,63,60,45,140,195,188,191,191,192,192,194,194,192,192,192,193,240,200,185,166,171,185,178,154,133,120,89,69,57,36,101,194,189,191,192,193,193,193,194,195,194,194,194,165,229,194,178,177,166,165,172,141,116,103,80,53,40,110,184,188,189,191,193,195,196,196,194,194,195,197,196,148,207,197,182,184,165,145,162,141,110,92,65,32,111,194,186,189,191,192,194,194,196,197,196,197,198,197,198,137,203,200,183,170,163,137,151,134,109,87,42,65,180,183,187,190,192,193,194,195,196,197,197,198,198,199,198,138,212,203,175,153,162,137,138,127,102,86,40,111,193,183,188,191,193,194,196,197,197,197,198,198,199,200,199,145,212,203,165,141,166,133,128,128,99,78,44,121,192,183,190,193,193,196,197,198,198,199,200,200,200,201,201
15,153,162,171,179,184,185,190,197,203,208,212,215,219,221,224,226,230,233,235,236,238,240,240,241,241,242,243,243,153,163,172,181,185,186,191,199,204,209,213,216,220,224,226,229,231,234,236,238,240,242,242,242,243,245,245,244,155,166,174,181,186,187,193,200,205,209,214,219,221,225,227,231,233,236,238,240,241,242,243,245,246,247,247,247,158,167,175,183,188,190,195,202,207,212,216,218,222,227,229,232,234,237,240,241,242,244,246,248,248,247,248,250,158,168,177,185,189,192,198,203,209,215,217,221,226,229,232,234,235,239,241,241,244,246,248,249,250,250,250,251,158,168,180,183,186,190,197,204,212,217,220,225,228,230,234,237,238,239,242,245,247,247,250,251,251,252,252,253,160,171,176,208,221,202,202,205,213,217,222,226,230,231,234,239,240,242,245,247,248,250,250,251,252,253,254,254,162,173,174,255,253,221,219,212,217,223,223,222,226,233,238,241,241,245,247,248,249,253,253,254,255,255,255,255,163,174,179,224,236,218,217,207,226,229,225,220,206,211,226,232,237,246,249,251,254,255,255,255,255,255,255,255,164,174,184,191,201,196,191,189,210,215,218,219,211,220,216,218,224,234,241,230,236,249,255,255,255,255,255,255,167,175,186,195,196,197,201,203,209,208,202,201,209,221,217,210,206,218,238,230,218,206,223,255,255,255,255,255,168,177,189,195,197,201,210,216,221,224,219,213,212,209,203,195,192,216,229,244,222,203,189,209,255,255,255,255,168,180,190,197,199,202,210,217,221,227,232,235,238,235,226,209,218,235,229,232,226,213,216,196,197,255,255,255,170,180,191,198,201,203,211,218,222,227,231,234,239,245,247,255,255,243,201,207,246,210,226,225,188,186,255,255,170,181,192,200,202,205,212,219,224,229,231,244,245,216,218,251,255,226,168,175,253,205,229,228,221,175,185,255,171,182,194,201,203,206,214,220,225,231,230,255,243,201,204,255,255,226,186,191,225,221,233,225,213,192,160,180,174,184,194,202,203,206,215,221,226,232,234,253,218,198,211,255,255,221,191,198,195,205,219,205,192,191,178,160,176,186,195,203,204,207,215,222,228,233,238,241,239,204,217,255,252,210,195,206,205,203,214,197,171,182,182,179,174,187,197,203,205,208,215,224,229,234,240,237,255,255,200,177,181,182,204,221,216,219,223,203,180,183,182,179,175,186,198,205,207,210,218,224,229,234,242,238,255,255,230,141,98,85,101,138,202,217,216,201,198,194,177,167,177,187,199,206,208,211,218,225,230,236,242,238,255,255,229,153,122,105,78,60,125,201,198,189,173,153,135,119,178,189,199,205,207,212,220,225,231,236,242,241,255,255,208,154,173,164,134,104,86,135,145,129,110,101,96,86,178,190,199,205,207,213,220,225,232,237,244,245,255,255,215,179,213,193,188,180,130,107,103,102,98,96,96,91,177,190,198,204,205,212,217,225,230,235,242,245,251,255,239,174,227,200,193,157,118,110,108,106,102,99,97,94,177,188,198,203,205,212,219,226,232,237,241,245,244,255,255,163,255,255,205,134,108,105,106,106,102,99,98,95,177,189,200,204,207,213,221,228,233,239,243,249,244,255,244,155,255,255,216,124,104,104,105,107,103,100,101,102,178,190,201,205,208,213,221,228,234,240,243,249,251,255,197,220,255,255,230,125,116,111,108,103,102,101,103,101,178,191,201,206,209,214,222,227,235,240,244,248,253,255,251,255,255,255,255,163,124,117,110,103,102,103,102,98
4,182,183,185,186,187,188,187,187,187,187,189,188,188,191,192,189,188,191,191,189,188,189,188,188,187,187,187,186,185,186,187,187,189,190,189,189,190,190,191,191,190,183,177,187,194,177,172,193,193,189,191,191,189,187,188,188,187,188,188,189,191,192,191,191,193,192,188,190,199,187,157,145,165,171,146,142,185,196,192,193,192,190,190,190,189,189,189,191,192,192,193,194,192,188,176,160,156,196,201,156,102,122,169,122,91,189,196,192,194,193,194,192,191,190,191,193,193,195,195,195,200,207,204,168,116,112,200,156,111,56,115,133,65,158,205,194,194,195,195,195,193,194,195,195,194,191,192,162,145,183,183,190,132,69,155,168,107,59,74,127,73,144,209,196,196,196,196,195,196,196,196,196,195,200,202,158,91,87,131,197,163,78,88,179,150,78,53,153,94,139,211,198,199,198,198,196,197,196,196,196,200,181,172,171,113,62,64,184,199,109,59,182,180,104,53,146,121,150,210,199,200,199,199,199,196,197,198,197,197,188,129,154,160,103,35,142,201,116,63,145,180,116,56,98,104,161,211,200,202,201,202,201,197,199,200,200,200,192,122,114,165,120,67,93,118,99,78,87,124,96,61,79,74,92,209,202,204,203,201,202,200,200,200,200,203,198,178,153,131,99,71,87,88,93,102,103,95,82,75,112,116,82,156,215,201,203,203,202,200,201,202,202,205,207,184,157,126,100,87,97,97,98,119,112,114,82,114,160,152,132,104,201,208,205,205,204,201,202,203,204,206,208,176,147,126,106,108,108,114,132,133,150,167,172,131,158,165,144,84,140,220,204,206,204,202,204,204,204,207,204,169,132,118,100,109,125,136,160,176,185,202,202,189,169,148,112,79,83,206,208,206,207,203,205,206,205,206,210,184,151,126,112,123,132,139,197,188,189,199,193,184,166,138,102,78,71,191,213,206,207,204,207,207,207,205,213,199,163,132,116,120,131,159,203,187,195,194,193,179,160,139,103,74,90,211,209,208,208,205,207,208,209,207,208,206,176,148,121,120,140,160,204,196,204,206,194,178,161,133,101,64,143,222,208,211,210,206,207,208,208,209,207,211,192,159,128,131,153,152,200,205,212,212,202,186,155,119,95,68,194,219,213,212,210,206,208,208,209,209,207,210,204,168,138,142,165,156,195,208,216,217,218,187,144,112,79,102,222,213,214,212,211,207,208,209,210,211,207,203,210,182,142,149,164,167,197,208,221,223,213,173,135,112,63,155,226,213,214,213,214,208,210,211,211,212,205,194,201,190,151,151,161,167,203,207,218,216,187,151,125,101,71,202,219,215,215,214,213,208,210,212,211,214,206,188,201,197,170,152,156,167,196,207,202,193,164,137,116,76,111,227,214,215,215,214,214,208,210,212,213,214,215,190,194,198,183,165,161,169,185,200,190,168,148,121,97,72,188,225,216,217,217,216,216,207,208,209,210,211,216,203,181,189,185,173,167,165,165,173,166,145,122,97,66,137,228,214,216,218,217,216,215,208,209,209,210,210,214,211,182,187,182,172,168,157,149,156,155,133,102,75,76,211,218,216,216,217,216,214,214,209,210,211,211,211,214,211,185,186,173,165,162,150,136,141,143,114,86,63,119,228,214,217,217,217,216,216,215,209,211,213,212,213,213,212,189,182,152,145,154,144,140,139,128,99,85,59,158,226,215,219,217,216,217,217,215,210,211,213,214,214,214,214,190,190,162,159,170,161,152,139,123,104,88,61,183,222,217,218,218,217,218,217,215
12,174,175,177,178,179,178,179,179,180,181,180,179,179,178,179,179,177,175,175,174,173,173,171,170,169,168,166,164,175,179,180,180,181,181,180,181,181,182,182,181,181,180,170,158,166,178,176,176,175,174,171,171,170,169,167,165,177,179,180,181,182,182,183,183,182,182,181,170,177,179,140,115,98,158,181,178,177,175,173,172,172,171,168,166,179,181,181,182,182,183,183,184,183,184,166,126,111,145,148,124,96,103,162,137,126,154,177,173,172,171,169,167,180,182,182,183,183,185,184,184,183,190,165,135,107,98,159,135,110,91,89,112,99,82,155,177,174,172,170,168,181,182,183,183,185,185,186,186,184,195,175,149,127,89,156,143,119,94,70,107,100,66,101,181,176,173,171,169,182,183,183,184,186,186,186,186,190,196,189,157,132,93,132,146,122,98,62,103,99,72,75,180,176,174,173,171,184,186,185,186,187,186,187,186,196,176,195,163,134,100,105,146,124,99,63,91,104,74,77,180,176,175,173,173,184,185,186,186,186,187,185,183,173,124,161,168,129,105,91,148,126,103,69,84,105,73,92,184,177,177,175,174,184,185,186,186,187,185,185,187,157,107,97,162,134,102,73,144,136,109,80,63,91,67,127,185,179,177,177,175,185,186,187,187,188,196,196,177,135,102,71,141,134,94,65,136,160,131,93,59,77,60,146,184,180,179,177,175,186,187,188,188,196,195,173,163,127,111,77,120,134,104,76,142,174,138,95,67,85,72,165,184,181,179,177,177,187,187,188,188,205,185,147,160,133,118,85,91,145,136,94,114,152,115,74,68,89,70,150,188,182,179,178,176,187,187,187,194,191,168,132,128,140,116,85,70,151,147,112,61,59,57,55,83,88,56,90,189,183,180,179,177,188,188,189,195,183,156,129,96,127,121,98,64,129,142,106,61,43,72,82,82,66,58,64,178,185,181,180,178,186,188,190,192,193,170,144,113,100,131,100,67,51,97,101,67,84,105,118,102,75,65,76,182,184,183,180,179,188,190,191,193,197,176,150,125,96,114,95,83,47,106,158,140,132,124,128,107,78,53,118,191,185,184,181,179,189,190,192,194,198,183,158,133,108,89,104,109,81,156,186,172,149,131,123,101,73,49,153,191,186,184,181,179,189,190,192,196,192,176,155,133,107,91,95,110,127,183,181,164,143,127,111,95,66,55,176,188,186,184,182,180,190,191,193,194,181,167,155,132,104,109,89,121,167,178,171,154,136,121,104,89,56,103,193,186,186,184,182,181,190,192,193,192,180,169,157,130,106,122,107,157,172,172,164,145,129,112,96,73,66,178,190,187,186,185,182,182,191,193,193,194,184,169,158,135,117,116,117,163,165,169,160,139,117,101,88,56,113,198,190,188,186,186,184,182,191,193,193,195,187,172,161,144,123,105,115,160,158,160,146,128,105,90,74,50,169,195,192,189,187,187,185,184,190,193,194,195,192,180,162,142,122,101,109,147,149,144,131,111,91,79,52,98,198,194,191,189,187,187,186,185,191,193,195,195,194,179,160,144,126,111,110,137,140,127,115,100,82,64,56,176,196,192,190,188,188,187,186,185,192,193,195,195,197,174,150,137,123,120,113,130,141,128,110,95,76,46,136,200,194,192,191,189,187,187,188,186,193,194,195,195,196,172,153,144,138,135,125,130,138,124,106,87,62,84,196,197,194,193,192,191,189,187,187,187,193,194,194,191,193,173,156,154,147,138,130,131,135,118,89,76,55,154,201,196,196,194,193,192,190,188,187,186
19,123,125,128,129,130,133,134,134,135,136,136,136,136,137,138,139,139,139,139,139,139,138,139,140,138,138,138,137,125,127,131,133,134,135,137,137,138,138,138,139,140,141,141,142,141,141,141,142,142,141,142,142,141,141,141,139,129,131,134,136,138,139,140,141,141,142,142,142,142,143,146,144,143,144,144,144,144,144,144,144,143,143,143,142,132,134,137,139,140,141,142,143,143,144,144,147,143,110,124,151,145,147,148,147,147,147,147,147,146,146,144,143,134,136,139,141,142,143,144,145,146,147,145,156,148,109,85,151,149,149,149,149,149,148,149,150,149,149,148,147,136,138,141,143,145,146,147,148,148,149,148,159,152,120,71,138,159,155,155,153,152,152,151,152,151,151,151,150,139,142,143,146,148,149,150,151,151,152,152,159,153,117,72,125,139,136,151,152,153,156,158,156,156,154,153,153,142,144,146,148,149,150,152,153,156,157,155,158,146,132,140,146,126,102,123,124,120,127,132,150,149,154,155,154,143,146,148,150,152,153,154,156,154,151,152,149,150,151,145,135,123,97,108,127,125,122,112,131,115,141,161,155,146,148,150,152,154,155,156,153,130,129,136,139,139,134,131,134,129,97,79,99,104,101,97,98,121,156,160,158,147,150,152,154,156,157,161,144,124,122,122,126,130,135,133,133,128,86,133,155,149,143,145,151,163,163,160,160,148,151,154,155,158,158,163,141,138,126,114,116,121,124,120,117,117,89,142,173,166,169,169,167,164,165,162,161,150,153,155,157,160,160,159,161,157,126,106,112,116,124,130,124,117,95,109,174,165,166,166,167,166,165,165,164,152,155,157,159,161,162,158,163,166,143,122,100,101,111,115,107,103,81,112,176,165,168,167,168,167,167,166,165,153,156,159,160,162,163,161,154,162,167,134,107,105,112,113,101,93,74,138,178,169,171,170,169,169,168,166,166,154,157,160,162,164,164,159,163,163,155,123,114,111,109,103,89,81,71,154,176,173,172,170,171,170,169,169,169,156,158,161,164,165,164,161,168,164,147,125,112,114,97,72,54,64,87,173,172,173,174,172,172,172,171,170,170,158,160,163,165,167,165,162,168,160,139,114,117,134,86,52,45,60,124,180,171,173,174,174,173,172,172,170,171,159,162,165,166,169,168,160,165,158,135,112,128,122,73,46,51,99,173,174,173,175,175,175,174,173,173,172,172,160,163,166,168,169,170,159,160,154,128,116,136,111,76,60,50,142,183,173,176,176,175,176,175,174,175,174,173,161,164,166,169,171,171,156,151,147,129,135,141,106,74,67,62,160,180,177,178,177,176,177,177,176,176,175,175,162,165,167,169,171,172,154,148,148,140,143,133,97,71,64,87,183,175,178,178,178,178,178,177,177,177,176,176,163,165,167,170,171,173,149,149,150,141,136,117,87,71,62,129,188,176,178,179,179,179,179,178,178,178,177,177,164,166,168,171,172,173,147,153,145,128,122,100,80,70,80,173,181,179,179,180,181,180,180,180,180,180,180,179,165,167,169,171,174,172,147,153,143,124,108,83,80,68,125,190,179,181,181,181,181,182,181,181,181,181,181,180,167,169,169,171,176,171,150,167,149,124,99,76,74,60,148,188,180,182,182,182,182,182,181,181,181,181,182,180,166,168,171,172,177,164,153,166,140,114,90,76,64,79,180,183,181,182,182,183,183,183,182,182,182,181,182,181,164,166,171,172,178,155,157,155,119,101,87,80,55,116,193,179,182,182,182,183,183,182,182,182,182,183,183,181
11,136,139,140,142,142,143,145,145,146,146,147,146,146,149,148,149,148,147,147,147,146,146,146,146,144,143,142,141,137,140,142,142,144,145,146,146,147,148,147,150,152,144,151,151,150,149,149,149,148,147,147,147,147,146,144,143,140,142,143,145,145,146,148,149,150,151,148,157,164,109,150,153,151,150,151,151,151,150,149,149,149,148,146,145,142,143,145,147,147,148,149,151,151,153,148,169,163,93,147,153,152,152,152,153,153,152,152,151,150,149,147,146,142,144,147,148,148,149,150,152,153,153,150,189,148,92,153,153,154,153,153,153,153,153,153,152,151,150,149,148,145,146,148,149,149,151,152,153,155,150,164,197,118,103,159,152,154,155,155,154,155,154,154,154,152,151,151,150,146,148,149,150,151,152,153,154,156,150,185,189,101,129,161,155,156,157,158,156,155,155,155,155,154,152,152,151,148,150,151,152,153,153,154,156,152,163,198,164,93,146,160,158,158,158,159,157,156,157,158,156,154,154,153,153,148,151,152,153,154,155,157,157,157,189,194,129,96,162,160,159,159,159,159,159,159,159,158,157,157,155,154,154,149,151,153,154,155,157,158,154,172,198,182,94,118,167,159,160,160,161,161,161,160,160,160,159,158,158,156,155,152,153,155,156,157,158,160,156,184,198,166,79,148,166,160,161,160,161,162,161,162,161,160,159,158,158,158,157,153,154,156,157,159,160,160,164,196,198,150,127,176,143,160,164,161,162,163,163,164,162,161,161,159,159,159,158,154,155,157,158,160,161,155,179,198,196,193,190,163,100,142,168,162,164,164,164,165,164,163,162,161,160,160,159,154,156,158,159,157,161,170,194,198,198,197,154,104,90,129,170,163,165,166,165,164,164,163,163,163,162,161,159,155,156,159,161,179,191,197,197,198,186,172,138,90,87,114,170,164,166,166,166,166,166,164,164,164,164,161,160,156,159,156,180,198,197,197,197,198,162,101,110,92,94,101,166,167,167,167,167,167,166,165,165,165,164,163,161,157,159,161,194,195,192,197,198,189,144,95,92,94,94,97,161,170,167,169,168,167,167,167,167,165,165,164,164,159,157,174,198,195,198,196,178,149,152,114,90,89,94,98,161,170,169,170,169,167,168,168,168,167,166,166,165,161,158,188,198,197,184,155,121,100,160,134,96,84,84,108,169,169,168,170,169,169,169,169,168,168,166,166,165,159,166,197,198,186,143,105,72,56,162,145,93,93,134,162,173,175,176,175,172,171,174,171,169,169,167,167,167,157,179,198,192,169,132,101,63,110,163,102,70,101,168,174,167,156,136,118,110,110,123,162,174,169,169,168,169,160,192,198,188,153,113,85,60,99,108,55,61,57,70,95,98,98,96,93,99,96,86,92,155,174,170,170,169,172,198,197,174,128,91,71,63,61,64,62,65,70,65,74,93,107,116,111,109,102,92,73,101,177,166,169,169,191,198,191,154,116,89,66,61,62,65,71,76,81,84,100,111,111,110,112,118,136,141,121,135,175,168,168,168,197,198,182,141,109,83,60,62,69,82,90,92,94,99,110,105,124,151,169,175,177,178,179,176,170,171,179,136,198,196,167,129,103,78,60,77,91,100,107,106,103,93,107,145,178,179,177,175,174,174,172,173,179,169,131,84,198,187,152,120,96,78,68,94,106,106,105,111,94,127,170,179,175,175,176,176,175,176,175,179,154,101,75,69,195,173,136,110,94,79,73,97,103,104,105,95,125,183,177,176,177,176,177,178,178,176,179,153,91,80,74,66
18,159,163,167,169,173,176,178,180,183,185,188,188,188,188,189,191,192,193,193,193,193,194,194,194,194,193,193,192,162,165,168,171,175,178,181,184,185,187,191,190,190,192,191,194,195,195,197,196,194,195,196,196,196,197,195,194,164,167,171,174,177,180,185,187,189,190,193,193,194,194,195,196,197,196,196,197,197,198,199,199,200,200,200,198,168,170,174,176,180,183,188,190,192,193,194,196,197,198,198,199,200,200,203,201,200,202,201,202,203,202,202,201,169,172,176,179,183,187,190,192,194,195,199,198,199,202,203,202,200,199,184,199,206,208,207,203,204,204,204,203,170,174,178,183,185,188,192,194,197,198,201,201,202,204,202,199,223,189,137,129,204,188,186,211,208,205,205,206,173,176,181,184,185,189,194,194,199,203,202,205,207,204,172,139,195,161,98,94,100,152,125,152,219,207,209,209,175,179,183,185,188,192,195,198,201,203,204,197,198,237,165,124,163,154,101,95,70,145,152,86,182,219,210,210,177,182,185,189,193,195,198,201,203,203,216,180,126,180,196,156,170,180,157,154,133,117,132,87,137,228,210,212,177,183,188,193,194,196,200,203,204,207,231,200,158,111,181,177,134,184,196,194,190,145,85,67,135,230,214,217,181,183,189,194,195,199,202,206,206,215,211,223,195,132,116,176,115,133,194,191,194,152,90,49,150,230,216,219,182,185,191,193,197,200,203,206,206,219,170,189,186,154,84,124,135,106,154,149,182,159,105,50,161,231,217,220,184,188,193,197,200,202,205,207,208,222,151,127,167,121,66,86,120,80,90,137,194,180,122,56,183,226,218,220,185,189,193,197,201,203,207,210,212,226,195,152,148,91,53,76,98,63,64,84,209,193,140,68,191,231,219,220,188,192,194,199,202,205,209,212,215,225,189,137,130,92,51,66,98,46,45,125,215,213,160,82,114,236,220,222,189,193,195,199,201,205,209,211,215,224,204,159,122,94,50,68,99,45,136,223,216,205,156,105,69,213,231,226,190,194,197,200,202,207,211,213,213,230,219,179,133,98,80,68,69,140,237,232,224,187,137,103,82,216,230,227,193,195,198,202,205,209,212,214,215,231,221,183,143,118,106,98,131,221,239,225,205,174,115,84,98,234,227,228,195,196,199,204,207,210,214,218,217,228,224,195,164,147,127,113,167,231,240,216,173,146,108,67,129,241,226,229,193,197,200,203,207,211,215,219,216,225,223,201,173,146,132,117,167,229,238,203,163,129,98,66,162,242,227,230,194,198,202,205,208,212,215,220,218,219,219,202,173,148,159,126,151,228,231,186,147,114,90,68,195,239,229,232,195,198,201,208,210,213,217,218,221,217,214,209,184,168,172,134,129,226,210,168,126,100,81,84,223,236,233,234,195,199,203,207,210,216,217,217,220,218,210,205,191,168,173,144,120,214,191,147,113,90,72,111,243,233,235,235,196,200,202,206,209,212,215,216,220,222,215,207,195,170,164,143,114,198,175,125,103,90,65,148,249,232,235,235,194,197,200,205,210,210,213,217,220,220,219,218,194,164,149,120,99,173,145,102,94,88,72,196,241,234,236,235,194,197,202,205,210,212,215,218,221,210,224,217,178,151,120,94,109,154,121,106,98,77,124,237,231,234,235,235,195,199,203,207,211,213,216,220,219,211,237,211,180,159,127,121,119,151,111,110,93,78,200,238,233,235,235,235,196,199,203,208,212,214,217,220,217,217,236,220,195,176,137,122,137,135,112,108,69,142,240,231,235,235,236,237
1,164,166,168,169,171,172,173,172,173,173,173,173,172,172,173,170,168,172,167,166,165,164,163,162,160,159,158,157,166,168,170,172,173,174,174,174,175,174,175,175,174,175,173,174,165,139,170,170,166,165,165,164,162,160,159,159,167,170,173,175,175,177,177,177,177,176,177,177,176,176,174,187,170,89,149,166,169,167,167,166,165,164,162,160,169,172,173,176,178,180,181,180,180,179,180,179,177,182,162,165,167,102,151,114,158,173,170,167,166,166,164,163,173,175,177,178,179,181,183,182,182,182,182,183,179,194,145,128,153,103,166,108,143,180,171,170,170,167,166,166,174,176,179,181,181,183,184,183,184,184,185,185,185,197,132,131,156,106,160,106,130,184,173,173,172,170,168,167,176,178,180,183,184,184,186,186,187,187,187,184,177,194,117,128,155,106,158,109,123,186,176,176,174,173,172,170,178,180,183,185,186,187,188,189,190,189,190,188,138,182,114,122,152,105,157,120,122,186,179,179,176,176,174,172,180,183,186,187,188,189,190,189,190,189,199,173,117,171,106,138,154,105,149,118,121,188,180,180,179,177,175,175,182,184,186,188,190,191,191,191,192,191,205,153,108,157,103,170,158,109,167,135,118,191,182,183,181,180,178,176,183,185,189,191,190,191,194,196,194,194,206,140,118,171,109,165,140,106,185,142,123,193,185,185,182,181,180,179,184,187,191,194,194,196,196,197,196,202,206,116,124,164,91,139,109,100,181,130,126,195,186,186,184,182,181,180,187,189,191,195,196,198,197,198,196,209,201,124,158,134,102,140,124,143,176,124,128,196,188,189,187,184,183,181,189,190,193,196,198,199,198,199,196,217,186,117,177,165,156,147,137,166,159,120,130,198,188,189,189,188,186,183,189,191,194,197,199,200,201,201,199,218,184,160,140,172,189,188,150,122,129,113,129,200,192,191,190,188,187,184,191,193,196,198,199,201,202,201,206,215,188,162,114,139,149,179,183,157,120,90,126,203,194,194,192,189,188,186,191,195,197,198,199,202,203,200,214,213,165,136,126,130,135,171,191,182,163,109,121,206,194,195,193,191,191,188,192,197,199,199,201,203,205,201,221,216,156,140,147,139,164,186,188,198,171,146,108,186,201,196,195,192,190,189,194,197,199,201,203,205,206,202,224,216,163,147,150,150,189,213,198,186,164,145,100,172,204,196,196,194,192,190,195,198,200,202,204,205,205,203,221,221,181,158,145,161,210,222,198,171,142,124,100,172,205,196,196,196,193,190,194,198,202,203,205,207,206,204,217,230,199,164,152,157,222,231,191,153,127,106,99,171,207,198,197,197,193,191,196,199,202,204,206,208,209,207,213,227,198,169,157,147,221,214,178,143,121,102,107,191,205,201,199,197,195,194,197,199,202,205,206,207,209,209,211,219,195,179,159,155,209,194,165,135,115,100,125,205,201,202,200,198,197,195,197,199,202,205,207,208,209,210,210,213,204,200,169,181,201,176,150,126,111,101,166,210,202,202,200,198,197,195,198,200,203,205,208,209,208,210,209,208,209,200,166,163,177,160,135,117,105,115,199,206,205,202,201,199,198,196,199,201,204,206,207,209,210,211,212,210,201,183,159,146,153,148,130,117,102,136,212,205,205,204,202,199,198,198,199,201,203,206,209,209,210,210,211,212,195,169,156,158,153,150,146,116,100,166,213,206,204,203,201,199,198,198,197,199,202,205,207,207,209,209,208,208,205,183,182,175,157,144,144,109,97,189,209,204,204,203,200,199,197,197
13,165,167,170,172,173,176,178,179,180,183,182,181,182,182,182,183,182,183,183,182,180,180,181,179,179,179,178,177,166,168,171,174,175,177,178,182,182,182,184,184,184,184,184,184,184,183,184,183,181,182,182,182,179,178,179,179,168,170,174,175,177,179,181,183,184,183,185,185,185,185,186,186,184,184,185,184,182,183,183,182,182,181,181,181,169,172,176,177,178,180,183,185,185,185,186,187,188,187,189,188,187,185,183,185,188,186,183,182,184,184,183,182,170,173,176,178,180,182,183,185,186,187,188,188,189,190,185,187,184,188,199,169,131,173,189,187,188,183,184,184,171,174,177,180,181,183,184,185,187,188,190,189,188,177,201,202,148,151,222,173,97,106,186,159,175,188,185,185,174,176,179,182,182,184,186,187,189,191,187,197,195,137,160,218,156,124,212,170,106,60,154,127,95,188,187,186,174,177,179,182,183,184,186,189,190,190,191,228,207,161,104,202,168,118,207,159,98,67,159,141,65,159,196,186,176,178,180,182,185,187,188,190,194,188,210,229,218,175,102,180,176,97,189,170,79,109,192,144,55,135,200,184,176,179,182,183,186,189,191,192,192,193,225,188,211,177,93,150,179,88,193,192,94,87,126,86,46,138,201,186,177,180,183,185,187,189,190,192,188,207,226,193,208,158,84,147,167,82,106,147,79,62,116,109,58,146,201,188,179,182,184,185,187,190,191,189,202,230,206,175,198,135,86,174,147,99,20,21,25,116,180,178,94,157,200,190,181,183,184,188,190,191,194,187,215,234,194,151,173,137,89,181,154,98,18,81,118,162,177,176,113,157,201,190,182,184,185,189,191,191,195,191,224,228,197,158,134,144,72,192,207,95,101,212,197,167,137,126,97,123,204,191,183,184,186,190,193,194,197,195,235,225,204,186,152,112,70,155,172,142,211,207,178,157,128,99,84,89,198,195,184,186,189,191,194,196,195,199,242,224,205,188,174,132,126,128,180,215,214,193,169,145,116,94,78,91,201,195,186,189,191,192,196,197,195,202,242,224,204,193,178,149,133,152,221,223,206,179,153,133,106,92,65,143,207,195,186,189,191,194,197,199,198,200,238,228,207,196,182,155,140,173,220,222,202,172,141,120,97,79,76,195,200,198,187,190,193,196,197,199,199,200,237,229,212,197,182,160,157,193,207,203,185,162,137,110,92,58,111,213,198,201,188,192,194,197,198,200,200,200,237,229,209,196,176,160,177,196,179,178,164,146,126,102,69,74,183,205,199,200,189,192,196,198,199,201,203,199,238,226,215,197,174,170,189,187,165,163,143,125,109,72,89,187,207,201,202,201,191,192,196,199,200,202,203,204,244,229,224,199,183,183,196,178,159,144,125,114,77,88,197,207,203,204,204,204,191,193,197,200,202,203,196,222,249,234,229,197,190,195,188,164,145,120,114,85,82,191,211,205,204,205,205,204,192,193,197,198,203,204,197,236,236,233,225,195,193,190,176,147,123,108,92,73,172,210,206,207,206,206,206,205,192,195,197,200,203,202,203,236,217,214,208,188,184,186,159,128,113,102,69,151,215,207,209,208,207,206,206,205,193,196,198,202,205,198,208,233,208,194,190,173,182,182,137,122,112,78,100,206,211,210,208,209,207,206,205,206,193,197,200,201,207,191,220,233,198,190,185,170,174,156,125,118,95,68,156,215,212,212,208,208,208,208,206,206,194,197,200,203,204,192,238,226,184,181,186,169,158,140,118,107,72,88,195,214,212,212,211,210,210,208,208,206
12,202,203,204,206,206,206,206,206,207,208,207,206,206,205,208,209,205,202,203,201,201,201,199,198,197,196,194,192,203,207,207,207,208,208,208,208,208,209,209,210,208,207,199,186,196,207,202,203,202,201,199,199,199,197,195,193,205,206,207,209,209,209,210,210,210,210,209,198,207,210,168,144,126,188,212,206,207,204,200,200,200,199,196,194,206,208,209,210,210,210,210,212,210,211,195,154,138,175,178,156,124,132,195,165,155,185,206,200,199,198,197,195,208,209,209,210,211,212,211,211,209,218,193,166,135,127,191,163,142,121,119,143,129,110,185,207,201,200,198,196,208,209,210,211,212,212,213,213,211,222,203,178,159,119,186,173,149,127,101,139,135,95,130,213,202,201,199,197,209,211,211,211,213,213,213,213,217,223,216,185,164,121,162,178,152,131,93,135,132,102,106,210,203,202,201,199,211,213,212,213,214,213,214,213,223,205,223,191,165,128,135,178,153,132,94,123,139,103,109,211,203,203,201,200,211,212,213,213,213,214,212,211,202,150,191,198,158,135,122,179,155,134,100,115,141,102,122,215,203,204,202,202,211,212,213,214,214,211,211,216,186,135,127,193,163,134,104,174,166,140,111,94,126,95,156,216,204,205,204,202,212,213,214,214,214,224,224,205,164,133,101,170,166,124,95,164,192,161,124,91,111,89,174,215,206,207,204,203,213,214,216,214,222,222,201,190,155,144,106,150,167,134,105,173,206,167,126,99,119,103,194,213,208,207,205,204,214,214,215,214,233,214,176,190,162,152,113,123,177,167,122,144,187,145,106,99,124,100,179,218,208,207,206,204,215,214,213,221,218,196,159,157,171,147,114,102,183,175,145,91,90,89,85,116,124,83,120,221,208,208,207,205,215,215,215,222,210,183,160,124,157,153,130,94,161,175,137,94,73,105,114,114,98,91,95,207,213,208,207,206,213,216,217,219,221,198,175,143,129,164,132,99,81,129,131,96,116,138,150,134,107,97,108,211,211,210,207,207,215,217,218,220,224,203,178,155,125,145,125,116,77,134,191,169,162,153,159,139,113,82,149,223,210,211,208,206,216,217,219,221,226,211,186,164,139,120,136,142,111,186,216,201,178,160,154,132,107,79,182,221,211,212,209,207,215,217,218,223,219,203,183,162,138,121,127,139,157,212,208,192,172,157,142,128,99,86,205,216,213,211,209,208,217,218,219,221,208,195,184,162,133,142,119,148,198,206,198,182,165,151,135,123,84,133,225,211,213,211,209,208,217,219,220,219,208,197,186,159,135,153,137,187,201,200,193,174,158,143,128,105,97,209,218,214,213,212,210,209,218,220,220,221,211,196,187,164,148,145,148,192,192,198,189,169,147,132,123,84,143,230,214,215,213,214,212,209,218,220,220,222,214,200,190,173,154,135,145,190,187,189,175,158,135,122,108,80,198,224,218,216,215,214,212,211,217,220,221,221,219,208,191,171,153,131,139,178,178,174,161,141,122,114,81,128,230,219,218,216,215,214,213,212,217,220,222,222,221,207,188,173,157,142,140,167,169,156,145,131,115,97,85,208,224,219,217,215,215,215,213,212,219,220,222,221,224,201,178,167,153,151,143,159,172,157,141,127,112,73,166,231,218,219,218,216,215,215,215,213,220,220,222,221,224,200,181,173,167,165,154,159,168,155,137,121,91,114,228,221,221,220,219,218,216,214,214,214,220,221,222,217,220,201,184,184,177,168,160,161,166,149,119,109,84,185,231,221,223,221,220,219,218,216,214,213
13,207,210,212,213,214,215,217,219,219,218,217,219,219,220,222,220,219,222,220,220,220,220,220,221,221,220,220,220,209,211,213,215,217,218,220,220,220,220,220,219,220,221,214,221,226,221,221,222,222,222,224,223,222,223,222,221,211,213,216,216,217,219,220,219,221,223,228,224,227,221,178,144,208,228,222,222,224,224,225,225,225,226,224,224,212,215,218,218,220,221,222,222,222,220,203,209,238,225,183,109,172,240,225,231,225,227,227,227,227,227,227,227,213,216,218,219,221,224,225,221,240,223,170,147,209,223,182,116,152,172,157,194,232,227,227,227,226,226,227,227,215,217,219,221,223,225,225,219,248,241,193,143,202,227,170,111,131,186,139,99,210,236,229,229,228,228,228,229,217,217,220,223,223,222,228,195,154,189,212,148,194,224,161,105,197,208,154,94,170,244,230,231,231,233,232,231,218,220,222,225,223,232,238,195,155,123,197,147,185,245,160,133,215,184,147,96,174,243,230,233,233,234,234,233,220,224,225,224,233,233,231,214,175,123,169,161,155,214,145,137,222,190,140,89,197,243,232,234,235,235,234,234,222,225,226,226,239,202,212,221,171,122,136,178,113,82,87,146,235,195,124,98,218,238,234,235,235,236,235,234,223,225,225,233,239,208,187,208,175,117,116,170,127,44,96,182,188,136,91,116,237,237,236,237,235,236,237,236,226,226,227,243,233,203,166,212,171,119,111,151,131,65,88,193,205,165,114,159,251,236,239,238,237,237,237,237,225,226,228,249,236,204,157,200,164,119,104,151,139,105,195,195,191,184,158,132,237,239,239,240,239,238,238,239,226,227,231,250,227,196,153,174,168,127,103,192,165,162,233,209,182,156,141,107,199,250,240,241,239,240,240,240,228,228,233,249,229,205,182,158,163,161,87,175,192,222,223,202,178,142,125,110,212,247,240,242,241,240,241,240,227,229,237,250,230,210,193,165,137,124,100,198,234,241,220,192,168,137,118,122,237,243,242,243,243,242,242,241,228,228,237,250,231,209,194,187,152,139,161,238,239,239,209,180,156,130,111,147,250,241,244,243,244,242,242,242,230,229,236,244,232,214,201,196,163,151,156,227,240,227,190,164,143,123,107,200,254,244,247,244,244,243,243,244,230,231,232,235,233,217,204,199,175,150,157,229,237,210,179,154,135,112,145,249,246,248,247,245,245,245,245,245,230,230,231,235,236,219,204,199,179,153,171,214,226,192,171,144,128,105,206,254,244,247,246,246,246,246,245,245,228,231,232,236,237,221,203,194,178,152,178,206,199,175,160,137,119,125,241,245,245,246,246,245,246,246,245,245,228,232,230,238,236,212,198,185,162,151,186,189,173,164,146,132,107,181,255,244,245,245,245,245,246,245,244,245,229,232,225,239,229,203,195,171,155,158,188,175,164,157,138,119,136,240,246,245,245,246,246,246,246,246,246,246,229,228,225,249,222,206,196,171,166,175,190,169,161,142,129,115,214,250,244,246,246,246,246,246,246,246,246,246,230,224,232,254,225,218,199,171,177,188,176,159,149,128,108,172,249,245,245,246,246,247,247,247,247,247,246,246,230,223,234,239,220,222,203,179,186,182,164,146,132,115,122,235,247,245,245,245,245,247,248,248,248,247,246,246,233,218,233,225,207,208,196,175,175,176,154,129,126,100,180,251,245,247,245,246,246,247,248,248,248,248,247,248,178,195,237,218,199,182,175,164,173,182,140,126,121,106,207,240,238,242,244,245,246,247,249,249,247,249,246,237
24,125,131,139,149,157,163,167,171,176,178,182,184,186,187,187,187,186,185,184,183,182,179,178,178,176,174,171,169,127,132,142,153,161,166,171,175,179,183,186,188,190,192,192,192,191,190,189,188,187,185,184,182,180,178,175,174,130,134,145,156,163,170,174,178,183,187,190,193,195,195,195,195,195,195,194,194,192,190,189,187,186,184,181,179,132,137,147,158,166,172,177,181,185,190,194,196,197,197,199,199,199,199,198,197,196,194,193,192,191,189,186,183,134,138,150,161,169,175,180,184,188,192,196,199,201,201,202,202,202,201,201,200,200,199,197,197,195,194,191,189,136,141,157,163,172,178,182,187,191,195,199,202,203,203,204,205,205,204,203,203,203,202,201,201,200,199,196,193,138,152,165,137,174,180,184,189,193,197,201,203,205,206,206,208,208,207,206,206,205,205,206,205,204,202,200,197,140,162,153,103,174,182,186,191,196,200,203,205,206,208,209,209,209,209,208,209,208,208,208,208,206,204,202,201,141,170,149,96,172,184,189,193,198,201,204,207,209,210,212,188,167,202,209,209,209,209,207,202,206,208,205,203,142,173,139,92,170,185,191,193,194,203,206,205,177,190,226,187,135,137,209,211,205,187,166,140,156,209,207,205,144,168,135,92,168,187,197,182,154,182,212,211,146,120,168,192,150,111,188,195,191,158,121,104,175,210,200,175,146,168,146,97,161,188,212,208,181,162,201,210,157,124,115,191,165,119,148,167,190,134,102,166,180,139,83,61,148,169,161,109,145,190,210,229,219,186,151,208,178,148,113,177,163,113,105,181,164,102,83,90,66,50,51,42,151,164,181,148,154,187,206,204,228,202,155,158,197,158,111,130,138,99,125,192,127,80,52,47,53,55,51,49,150,157,192,177,173,188,202,173,191,203,151,108,194,175,117,76,90,100,165,173,101,56,44,41,41,53,52,45,152,158,183,197,194,209,213,192,168,180,143,96,167,181,120,65,76,145,172,142,79,37,38,48,36,44,51,51,153,161,177,218,200,187,190,174,150,158,146,113,118,146,104,91,116,153,147,110,56,46,29,40,43,37,44,53,153,162,174,217,202,171,177,164,135,134,152,136,107,111,151,169,161,161,121,85,27,45,38,29,40,36,40,47,150,160,171,205,207,158,143,149,137,140,155,166,149,164,219,209,181,168,106,68,15,31,48,35,31,37,36,39,118,124,127,163,207,169,132,141,169,150,190,217,203,220,232,208,180,159,98,64,21,18,43,47,35,36,31,35,109,111,111,131,214,194,150,129,162,162,201,222,230,237,226,197,171,145,90,52,34,11,31,48,43,39,32,28,110,112,113,119,203,206,170,140,141,168,191,227,235,230,211,185,161,136,85,34,43,9,21,43,43,44,36,25,113,114,115,115,186,211,189,156,140,164,178,224,233,221,200,175,153,132,85,24,45,17,10,34,44,42,38,33,111,113,115,114,163,212,201,170,154,161,170,214,225,209,191,170,144,125,82,26,41,28,6,22,42,39,36,35,110,112,113,114,134,207,204,182,163,165,164,200,215,200,188,168,132,113,74,27,36,38,11,11,36,39,33,33,110,111,112,113,116,185,200,191,173,171,162,177,202,194,188,160,120,103,57,14,31,42,22,5,25,40,29,30,110,111,111,112,113,142,199,198,182,174,163,158,184,184,176,149,112,95,46,3,18,43,32,11,12,34,31,23,109,110,110,111,113,115,175,198,186,173,159,145,156,168,156,133,107,85,33,2,6,39,36,21,6,22,36,19
0,211,211,214,214,214,214,215,215,215,215,214,215,215,214,214,214,215,213,212,211,213,212,210,209,208,209,208,207,213,215,214,216,216,216,216,216,215,215,214,217,216,216,217,215,214,214,216,215,213,215,213,208,209,212,211,209,215,217,219,219,220,220,219,219,217,219,218,217,217,218,219,221,217,216,217,218,215,209,200,215,211,212,211,212,219,222,221,220,221,221,221,222,221,220,221,222,220,220,200,180,207,214,188,172,211,216,139,210,214,213,213,213,220,221,221,221,222,223,224,223,222,222,210,188,212,236,205,158,130,197,184,155,134,193,154,157,226,212,213,213,220,222,222,222,224,224,224,223,224,242,216,165,174,239,206,185,126,189,193,181,127,115,201,136,177,217,218,216,221,223,223,225,225,224,228,199,189,248,221,194,175,235,207,194,123,196,197,176,138,80,178,179,137,145,220,215,221,224,224,225,223,232,246,217,162,211,242,199,164,243,216,188,110,205,194,151,145,59,121,200,173,102,191,223,224,225,226,228,224,243,245,233,205,160,246,205,149,237,222,181,107,170,179,128,128,47,134,215,192,120,170,229,225,227,227,227,234,234,231,242,213,135,218,216,141,205,221,165,105,108,145,117,105,49,178,219,195,123,160,232,224,226,227,225,235,218,174,207,181,117,172,198,133,150,182,133,111,70,102,125,93,77,193,213,187,119,149,232,225,226,228,227,231,235,187,193,154,96,137,166,120,104,143,117,93,57,144,193,167,161,185,197,179,113,144,234,226,229,232,230,235,249,213,199,155,113,119,145,121,82,118,138,134,186,220,204,193,180,158,165,170,119,132,234,229,232,233,230,242,243,209,182,161,131,91,154,154,68,126,216,233,235,219,201,185,170,150,138,150,127,125,231,231,232,233,228,250,255,236,213,183,144,114,148,146,154,226,246,237,225,212,196,179,162,139,128,132,116,142,234,232,232,235,231,252,255,244,218,192,185,184,180,204,240,247,237,230,216,206,191,171,149,129,123,126,107,196,234,233,234,236,231,255,255,247,221,201,195,194,210,228,235,242,237,220,214,197,178,164,139,123,128,110,167,235,228,233,234,238,235,255,255,255,235,220,209,210,225,234,239,239,225,215,209,185,168,151,130,127,113,132,235,231,231,233,234,237,233,255,255,255,244,226,214,212,227,240,237,229,212,203,197,175,156,138,129,123,106,205,237,230,231,234,235,238,235,250,255,255,255,229,212,205,212,220,215,216,197,180,180,156,141,136,125,105,182,239,231,233,233,237,237,239,239,241,255,255,249,231,211,202,209,212,216,213,193,171,167,144,134,125,116,183,238,232,235,236,233,238,238,240,240,237,251,251,232,218,197,201,209,203,214,206,188,175,161,140,118,119,203,241,235,234,235,235,234,238,240,240,241,241,246,232,228,222,210,224,214,186,207,203,180,163,150,125,101,203,245,234,236,235,235,237,236,239,240,241,241,241,246,241,249,240,228,225,216,177,195,203,173,152,139,95,154,249,235,239,239,238,238,237,236,240,241,241,241,241,248,255,255,246,217,215,211,170,192,187,165,147,124,96,213,246,238,240,240,237,238,239,238,239,240,242,242,241,239,255,255,243,207,210,205,176,183,171,162,145,108,111,238,241,241,241,239,238,240,239,238,240,241,242,242,242,235,255,250,233,201,211,214,173,163,169,156,142,104,126,250,240,243,241,241,240,241,239,238,240,240,241,242,241,238,255,239,223,200,212,210,160,170,166,151,138,102,129,249,241,242,242,242,240,241,240,239
13,157,160,163,166,168,170,171,173,175,177,177,177,178,179,180,180,180,180,179,179,178,176,175,174,174,173,171,171,158,161,164,167,169,171,172,175,176,178,179,179,180,180,181,181,181,181,181,181,180,178,177,176,175,175,173,172,158,162,166,168,170,172,173,176,178,179,181,182,182,183,182,180,181,182,182,181,180,180,179,179,177,176,175,174,159,162,166,169,171,173,175,178,180,180,182,184,184,183,177,161,158,174,174,159,157,173,181,180,179,178,177,176,160,163,167,170,172,174,176,178,180,181,183,185,185,185,173,146,126,139,150,132,112,140,178,182,181,179,178,177,160,164,168,171,173,175,177,180,181,183,184,185,186,190,185,156,127,106,125,128,100,108,170,184,182,181,180,178,161,165,169,172,174,176,179,181,183,184,185,186,187,190,190,163,128,94,106,123,99,93,162,185,183,182,181,180,162,166,170,173,175,177,180,183,184,186,187,187,188,189,185,161,124,90,88,106,90,86,157,185,184,183,183,182,162,166,170,174,176,178,181,184,185,187,188,185,180,180,173,157,126,95,82,98,87,86,159,186,186,185,184,182,163,167,171,175,177,179,182,184,186,188,188,174,146,134,134,147,142,111,89,105,95,91,162,188,187,186,184,183,164,168,172,175,177,180,182,185,187,188,188,166,130,109,104,136,157,125,92,100,94,81,144,186,188,187,185,185,164,168,173,176,178,181,183,185,187,181,168,155,137,120,97,101,132,110,84,87,84,76,111,173,189,188,187,186,164,169,173,177,179,181,184,186,187,168,131,125,142,132,105,70,67,64,70,83,87,90,94,144,187,189,187,187,164,169,174,178,180,181,184,190,189,159,123,110,132,136,114,79,44,49,68,89,106,108,96,112,176,190,188,187,164,169,174,178,180,182,186,193,178,152,132,116,115,131,120,93,55,63,96,114,123,115,98,95,165,191,189,188,165,170,175,178,180,182,188,192,165,143,134,118,103,114,114,90,60,73,124,144,137,112,92,94,165,191,190,189,166,170,175,179,181,183,188,190,163,131,119,108,90,83,90,76,63,88,139,150,140,111,84,102,176,193,191,190,166,171,176,180,182,184,187,187,170,141,114,93,71,58,75,82,82,119,155,150,135,107,80,118,186,194,192,190,167,172,176,180,182,184,187,188,181,159,129,103,85,77,88,100,117,157,164,144,124,99,80,139,192,194,193,191,168,172,177,181,183,185,187,187,182,167,144,125,108,105,119,140,158,171,158,135,114,91,85,159,195,195,193,192,167,172,177,181,182,185,187,187,178,164,146,127,111,111,131,165,172,164,146,125,104,83,95,175,197,195,194,193,167,172,177,181,183,185,188,188,172,157,145,128,116,115,128,160,167,156,135,113,94,76,111,187,198,196,195,193,167,172,177,181,184,186,189,190,176,158,146,133,123,118,125,153,161,150,126,101,83,75,138,195,199,197,195,193,168,173,178,181,183,186,189,192,185,163,148,138,126,116,118,140,150,138,112,88,72,92,171,199,199,196,195,193,168,173,178,181,183,185,189,192,192,177,155,139,125,114,112,127,137,126,101,81,71,129,192,200,198,197,195,194,168,173,178,182,183,186,189,192,194,189,168,143,125,115,114,121,130,121,98,78,85,164,199,200,199,197,195,194,167,172,177,181,183,185,188,191,193,191,177,153,136,129,128,127,128,120,94,77,108,184,199,199,198,196,195,193,166,171,176,180,181,184,187,190,192,188,180,161,148,143,138,132,128,116,91,77,128,193,199,198,196,195,194,193
0,194,196,197,199,200,202,202,203,203,204,205,205,206,206,206,206,206,206,207,206,205,203,203,203,202,203,202,202,195,197,198,200,201,202,204,204,205,206,206,207,207,207,207,207,206,207,207,207,206,204,205,205,203,203,203,202,196,197,200,201,202,203,205,206,206,208,208,208,208,208,208,209,206,206,207,208,207,206,205,205,205,203,204,203,197,198,199,201,201,202,205,206,206,208,207,208,209,210,209,209,209,210,207,208,208,207,206,205,204,203,205,205,197,199,200,201,202,204,207,206,208,212,209,207,202,195,208,208,194,195,209,206,207,207,209,206,206,205,206,205,197,199,201,202,203,206,206,207,206,187,197,222,195,158,160,210,182,139,178,222,209,194,178,212,206,207,207,207,198,200,202,202,203,206,205,211,211,182,150,209,211,171,132,211,187,146,131,178,186,204,148,195,214,206,208,207,200,201,203,203,205,206,204,224,224,208,156,153,217,165,138,214,185,150,109,144,163,207,182,154,197,212,207,208,201,201,203,204,207,205,214,217,213,213,164,121,202,171,145,217,188,134,134,178,144,200,202,179,153,186,213,208,201,203,204,205,208,204,225,200,195,205,143,125,199,161,150,210,173,116,147,182,120,186,222,197,158,125,212,209,201,204,206,207,205,205,229,206,196,188,123,140,194,143,143,191,160,110,147,178,128,213,228,193,144,122,211,209,202,204,205,208,205,219,223,196,191,184,134,142,177,132,129,173,150,100,150,166,162,217,203,176,114,162,220,208,203,205,207,208,206,231,225,189,158,167,134,129,177,134,119,178,134,119,183,175,188,191,170,143,112,205,214,212,203,206,207,209,207,232,224,202,175,136,97,136,200,140,124,195,181,195,186,175,156,169,150,110,149,221,211,213,204,206,207,208,211,233,216,202,190,168,128,125,153,123,130,215,212,195,178,169,137,138,138,100,185,220,212,211,204,206,208,207,216,237,217,202,190,182,151,120,134,158,209,222,209,188,171,159,131,122,119,106,210,216,212,213,205,206,208,207,220,238,222,204,192,189,163,138,143,194,227,218,202,179,162,146,121,118,95,158,223,213,212,214,206,207,209,207,220,237,225,208,194,190,171,143,148,206,228,213,196,173,153,131,116,100,119,218,214,214,213,213,206,207,208,209,215,236,226,212,198,186,171,143,173,212,218,204,193,166,141,120,108,96,194,221,215,216,214,213,205,207,210,210,215,236,225,214,202,184,168,158,196,208,197,197,184,155,126,113,89,167,225,216,216,216,217,216,207,207,212,208,217,237,227,224,203,183,175,181,206,187,183,184,169,141,119,92,136,225,217,218,218,218,217,218,207,208,210,205,229,236,229,229,206,189,181,189,198,172,179,171,151,128,102,108,216,221,219,219,219,218,217,218,208,209,207,210,235,225,227,224,196,186,186,186,174,171,172,160,140,113,100,196,224,218,218,219,219,218,217,217,206,208,204,219,218,204,215,209,184,184,185,174,167,166,153,144,119,96,182,224,217,220,218,218,218,217,217,217,207,205,203,225,206,187,188,186,177,176,177,165,157,154,140,123,101,166,220,218,220,220,219,218,217,217,217,217,210,195,214,223,190,181,174,167,166,185,176,144,149,149,125,96,165,221,218,221,220,220,220,219,219,217,217,218,202,196,231,215,177,165,171,152,160,185,158,132,151,138,100,144,219,220,219,220,220,220,220,219,219,218,218,218,191,216,229,212,175,154,161,145,162,173,146,134,142,112,111,206,220,220,221,221,220,220,220,219,220,219,220,218
15,209,184,195,152,139,211,77,63,114,110,112,115,119,123,138,155,168,179,185,189,197,203,209,212,217,219,222,227,207,189,202,144,156,208,64,74,115,111,113,117,121,125,141,157,172,183,187,192,200,207,212,215,220,223,226,230,206,191,205,135,172,200,53,86,116,111,116,120,122,126,143,159,175,185,189,194,202,210,216,220,223,227,230,233,204,195,204,128,190,187,43,94,114,110,112,115,117,125,147,164,178,188,191,196,206,214,219,223,227,231,234,237,199,196,201,123,207,169,47,110,123,124,135,146,150,131,144,160,179,192,196,201,210,217,228,233,231,234,239,241,198,209,196,156,186,170,152,156,152,161,165,159,147,142,141,143,149,160,170,178,175,166,174,209,242,244,241,245,206,215,176,162,167,159,155,140,141,142,137,134,134,149,151,149,149,146,145,161,166,154,140,123,156,224,255,252,208,193,152,149,143,143,137,131,136,137,138,135,140,155,156,152,144,139,143,159,163,160,153,134,114,116,178,246,209,211,168,138,156,124,121,125,131,135,135,135,146,155,152,146,141,140,154,159,151,157,150,139,135,125,108,128,213,222,160,162,235,80,72,122,113,116,119,122,128,143,159,176,158,152,153,154,157,157,150,142,140,146,130,112,215,226,148,179,228,64,76,124,113,114,119,121,121,136,166,221,195,169,161,153,144,153,144,146,142,162,143,126,215,226,143,195,216,53,86,123,113,115,119,121,124,135,202,207,177,144,134,144,122,122,141,150,153,174,152,136,218,224,136,210,202,45,96,122,112,115,119,122,120,158,225,181,164,132,86,98,85,75,169,174,175,169,145,142,220,220,134,224,187,40,105,120,114,116,118,121,123,212,208,165,147,125,82,68,57,73,193,196,188,159,135,141,222,215,133,237,172,38,112,120,115,115,119,113,153,247,205,159,139,101,68,69,51,103,203,206,201,162,131,133,231,209,138,245,152,39,118,119,114,116,119,114,145,229,215,174,141,91,58,67,76,118,193,215,209,168,133,129,238,202,145,255,138,43,122,118,114,116,118,121,119,200,237,204,157,108,55,88,125,115,175,215,192,160,135,118,243,194,156,255,122,47,127,117,114,114,117,121,124,161,248,229,178,116,68,60,98,167,196,191,158,146,132,106,249,180,169,255,104,54,126,115,111,111,115,116,128,145,228,246,205,179,165,162,188,190,170,147,127,129,126,109,252,171,185,255,87,63,125,112,111,110,114,115,126,148,187,250,230,212,202,201,206,164,129,121,120,118,122,124,251,159,202,252,73,73,126,111,110,109,112,115,128,147,211,228,181,170,174,199,203,150,113,113,104,112,121,113,248,154,220,242,59,81,123,109,108,108,112,115,124,162,245,188,168,173,168,192,197,154,114,109,178,156,91,90,244,147,234,226,50,90,120,103,101,101,104,107,115,170,229,177,161,157,152,175,181,157,108,141,255,177,94,92,238,149,241,221,165,159,169,159,154,150,146,149,152,169,198,178,173,188,150,125,164,163,125,157,255,178,103,96,229,152,245,225,178,136,155,154,154,153,158,162,161,154,149,160,157,214,209,130,129,170,149,162,187,148,110,102,223,156,251,220,171,140,156,154,155,155,156,156,159,159,160,163,155,166,230,183,137,166,165,164,166,140,99,97,213,165,255,216,170,147,156,156,159,158,157,161,162,162,165,165,163,161,177,184,160,168,167,166,171,141,94,69,202,174,254,215,170,150,158,155,157,158,158,161,161,162,165,165,164,166,164,164,165,165,166,165,168,140,106,84
4,180,179,179,178,177,177,176,175,176,175,174,174,173,172,171,170,168,168,166,165,163,163,161,160,158,158,158,156,181,181,180,179,178,178,178,178,177,176,175,174,174,172,171,170,169,168,167,166,166,163,162,161,160,159,158,157,181,181,181,180,181,180,179,179,179,178,177,176,175,174,173,172,170,168,167,167,167,165,164,163,161,159,158,158,183,182,182,181,182,182,181,181,180,179,178,177,176,176,175,172,171,171,169,168,167,167,166,164,162,161,160,159,185,185,185,184,183,182,182,181,180,180,179,170,163,165,163,164,151,149,165,170,168,168,166,164,163,162,161,160,186,186,185,184,183,183,183,182,181,180,179,168,159,152,139,119,118,118,126,155,156,158,166,165,164,162,162,160,186,186,185,185,185,185,185,184,181,172,170,155,126,102,132,101,75,114,109,95,95,97,132,167,165,163,162,160,187,187,186,186,186,186,185,184,180,174,165,155,127,80,106,102,68,101,101,70,73,83,86,160,166,164,163,161,187,188,188,187,187,187,186,186,181,148,119,129,145,98,99,118,113,106,89,65,91,99,76,139,169,165,164,163,188,188,189,188,188,188,187,185,183,149,93,66,145,126,101,122,138,126,99,95,96,108,88,128,169,166,164,163,189,190,189,188,189,189,188,187,175,132,85,46,85,104,76,90,102,121,109,105,98,102,89,106,169,167,165,165,190,191,190,190,190,190,189,187,170,138,112,86,64,69,68,62,59,94,113,105,97,97,95,84,160,168,166,165,191,191,191,190,189,190,190,187,175,155,126,93,65,66,77,72,75,75,83,90,100,118,112,78,139,170,166,164,191,192,192,190,191,191,190,188,178,149,113,85,64,66,76,85,97,86,74,88,139,140,121,86,114,170,166,165,193,193,193,193,193,192,189,189,177,145,111,78,63,67,80,96,100,94,100,115,130,142,135,103,94,167,167,166,194,194,193,194,194,193,190,188,180,156,123,87,68,74,87,102,105,111,136,150,141,142,139,107,79,158,168,166,195,195,195,195,195,194,192,187,178,159,132,96,71,74,92,112,122,131,147,153,147,136,118,95,69,154,169,167,195,195,195,195,195,195,193,187,177,167,143,110,80,74,92,116,136,150,159,155,140,125,103,75,76,162,169,167,195,195,195,195,195,195,193,185,174,171,150,122,94,76,86,128,149,162,162,152,131,114,90,59,113,171,170,168,196,196,196,195,195,196,194,184,170,168,154,129,102,84,89,140,157,163,158,143,121,102,76,69,157,172,170,169,196,196,196,195,195,195,194,181,166,164,160,137,109,96,98,145,158,158,149,131,110,90,62,114,173,172,171,169,197,196,196,196,196,196,196,181,166,166,162,142,117,105,107,146,156,152,137,116,98,76,70,159,175,173,171,169,198,196,196,197,197,196,196,185,171,171,166,146,124,105,106,144,148,142,124,101,83,60,116,176,175,174,172,171,197,196,195,197,197,198,197,189,174,175,164,147,130,108,102,135,137,127,108,88,65,77,165,178,175,174,173,172,198,198,198,199,198,198,198,191,181,176,163,149,134,116,103,119,123,110,93,72,58,141,180,177,175,174,173,172,198,198,199,199,199,198,198,190,182,173,160,148,134,123,109,108,111,97,78,54,110,178,179,177,176,175,174,172,198,198,199,200,200,199,195,186,181,173,163,154,144,132,118,102,99,84,63,79,169,182,180,178,177,175,174,172,199,199,199,200,200,199,188,179,181,174,161,156,144,129,119,101,90,74,56,131,183,181,180,179,177,176,174,173
1,78,82,96,114,128,135,138,145,150,154,156,159,163,166,168,171,171,172,173,173,173,175,175,175,177,177,176,176,78,83,99,117,130,137,141,147,154,158,161,163,167,176,178,140,174,176,177,176,177,178,178,178,179,178,177,177,80,86,103,121,134,140,144,152,159,163,165,168,172,189,193,111,157,151,167,184,181,181,182,182,181,181,180,180,82,89,106,124,137,142,148,156,163,167,173,185,137,187,194,108,148,154,123,190,186,186,187,186,186,185,183,182,83,91,110,127,139,145,151,161,167,170,180,202,120,172,192,105,149,170,104,180,193,192,191,190,190,189,188,187,83,94,114,130,142,147,154,163,170,175,184,208,125,161,197,117,153,177,105,164,199,195,195,195,194,194,192,192,85,97,117,134,146,151,158,166,173,177,188,213,133,146,189,120,156,189,121,153,204,199,199,199,198,198,197,195,85,99,120,137,148,153,159,169,177,186,152,207,139,127,174,121,155,187,126,148,210,203,203,203,203,202,201,200,86,102,124,141,151,156,163,172,189,193,122,197,142,107,181,128,148,196,136,148,214,207,207,207,207,206,204,204,87,105,127,144,153,157,168,177,200,184,115,200,151,99,170,124,146,204,146,149,218,212,212,212,211,210,208,208,88,107,129,146,156,160,170,179,205,182,108,191,166,104,145,139,147,187,146,145,221,216,216,215,214,213,212,211,90,109,131,148,157,162,173,182,213,191,107,163,184,156,158,160,143,134,126,141,224,217,217,216,217,216,214,214,91,112,133,150,161,165,176,184,216,196,108,141,154,162,161,133,137,162,125,142,229,221,221,221,221,220,219,218,93,115,137,154,163,168,180,188,213,202,147,158,102,142,122,110,181,201,181,142,205,227,222,223,223,222,221,222,94,118,140,158,166,171,182,190,222,207,162,139,100,129,96,143,197,202,204,153,124,215,227,227,226,225,225,223,95,120,141,160,168,174,185,194,232,208,158,121,106,135,137,197,221,208,186,129,99,150,234,228,229,228,228,227,97,122,145,162,169,176,188,198,238,217,161,117,120,145,160,215,228,213,173,123,94,133,235,231,230,230,230,230,99,125,147,164,172,178,191,199,239,228,173,120,130,157,181,216,227,211,171,125,86,152,240,233,234,233,232,234,102,128,150,167,173,181,193,201,236,234,192,132,137,165,189,227,228,203,162,123,84,174,242,235,236,240,241,227,105,131,153,169,175,183,196,202,233,238,210,148,145,168,186,230,224,198,152,117,81,191,241,241,235,204,145,89,108,134,155,172,178,186,198,204,227,235,221,161,161,159,182,221,218,191,141,111,83,209,244,183,108,68,50,51,111,136,158,174,179,187,199,207,218,226,226,176,175,155,184,209,213,180,134,103,91,225,156,69,43,44,46,41,113,137,160,175,180,188,199,208,210,219,224,192,179,163,168,206,196,167,122,98,101,137,64,61,50,30,44,48,114,139,162,175,179,188,198,206,210,213,217,198,185,174,153,188,181,154,118,97,77,48,38,58,65,25,28,52,116,142,164,178,180,190,201,208,214,209,215,204,192,184,155,162,178,146,116,93,64,54,36,34,63,40,17,38,117,143,166,180,182,193,202,210,216,211,217,212,200,186,152,147,166,142,111,83,67,55,43,18,45,56,17,21,116,143,167,180,184,194,203,211,216,215,219,203,184,176,154,147,145,131,100,77,70,47,43,21,28,55,32,10,128,146,164,173,180,189,196,206,212,211,217,209,182,182,173,146,131,124,96,73,65,55,35,25,17,42,44,12
10,46,99,83,0,32,66,69,76,84,96,115,124,133,141,146,151,153,154,157,162,166,170,170,172,176,178,179,180,54,106,73,0,41,67,70,79,86,96,117,126,134,141,145,152,153,155,163,164,168,170,172,174,176,179,180,182,68,110,61,0,49,67,72,79,88,101,118,127,138,144,149,151,162,157,145,168,169,171,173,175,179,180,182,185,85,112,49,0,55,67,74,80,87,105,122,129,138,146,152,148,186,157,107,169,170,172,175,177,179,180,184,187,96,112,35,2,60,67,75,82,89,108,124,131,140,147,152,150,190,170,104,164,173,173,177,179,181,183,186,187,99,113,22,10,63,69,76,84,93,110,124,133,141,148,154,151,186,176,97,152,178,175,179,181,183,185,187,187,106,113,10,17,64,69,76,84,93,114,126,135,141,148,154,156,178,186,114,130,184,176,179,182,186,187,188,190,113,107,0,27,66,69,78,86,95,114,131,138,144,150,157,157,170,189,127,105,184,177,181,184,187,188,189,192,119,100,0,37,67,71,76,86,94,150,131,98,144,151,155,159,166,179,140,89,169,183,183,185,189,190,191,193,125,88,0,44,69,69,88,93,102,167,121,76,111,158,156,161,163,192,164,83,143,188,182,186,189,190,193,195,131,75,0,52,62,91,167,96,84,143,144,96,76,149,159,163,160,213,185,95,117,191,181,188,189,191,194,196,134,58,0,59,66,90,132,77,57,99,165,128,72,120,171,161,162,207,171,109,98,191,183,189,192,194,194,197,133,44,0,62,70,74,88,87,66,80,162,131,85,69,130,165,170,190,160,118,85,182,188,189,194,196,196,198,135,28,8,69,70,77,85,93,94,83,157,136,88,65,62,113,169,164,153,130,79,170,193,190,194,198,199,201,133,16,18,72,72,79,87,94,110,119,181,165,111,74,60,58,100,123,141,130,82,160,195,191,195,198,200,201,126,5,26,71,72,78,88,93,108,158,205,178,137,86,63,45,62,85,118,123,77,147,199,192,196,198,200,202,117,0,34,73,73,80,87,95,184,195,190,188,156,111,76,62,68,93,104,110,69,125,202,193,197,200,201,201,105,0,44,75,74,82,82,118,217,201,190,188,175,140,93,71,72,83,97,97,63,118,204,191,198,202,202,203,90,0,51,75,74,81,84,112,222,201,191,198,176,147,93,69,61,70,88,83,56,153,203,193,199,202,202,205,74,0,57,74,76,83,88,98,180,134,198,206,167,136,88,70,63,76,90,74,84,193,196,199,200,201,203,205,55,0,62,75,77,83,90,96,134,108,223,188,154,134,98,79,68,77,86,64,136,201,193,200,200,201,203,205,38,1,68,74,76,84,93,91,171,195,219,191,151,128,104,83,75,75,77,72,180,196,196,198,201,202,205,206,21,8,71,73,76,84,91,102,212,219,217,179,154,112,104,87,79,73,62,112,200,194,199,200,201,203,206,207,10,17,72,73,76,85,85,121,231,215,204,165,149,103,95,91,82,68,63,172,197,196,200,202,202,204,207,209,0,23,74,73,77,85,86,119,229,218,191,152,134,99,89,88,85,58,106,198,192,197,199,201,203,205,207,209,0,30,76,74,78,87,86,122,235,208,184,143,125,98,87,82,78,50,150,199,194,196,198,201,203,206,207,209,0,38,77,74,78,88,87,127,220,189,188,154,138,107,83,76,63,60,172,193,194,197,198,202,205,207,208,209,0,43,77,74,79,87,92,114,182,186,196,180,152,113,82,68,51,78,188,191,195,199,200,202,205,207,208,210
6,156,158,160,162,164,165,166,167,168,168,168,166,166,166,166,166,166,164,165,165,164,162,162,162,160,160,159,156,157,159,162,164,165,167,167,168,169,170,170,169,169,168,167,167,168,167,167,165,165,164,165,164,162,161,160,158,158,161,164,165,166,167,170,170,170,171,171,171,171,171,170,169,168,168,167,166,166,165,166,165,164,164,162,161,159,162,164,166,167,169,171,172,172,171,171,172,172,173,173,173,172,171,171,169,169,167,164,165,167,165,165,164,161,164,166,167,169,171,172,173,173,173,174,174,173,168,161,158,159,161,155,157,148,147,176,149,149,171,165,165,162,166,168,170,171,173,175,175,173,174,173,171,168,160,145,142,154,165,156,158,146,144,181,132,125,174,166,166,165,166,168,171,173,174,175,175,176,179,185,185,182,171,157,149,151,153,148,142,142,125,123,118,156,172,168,167,165,167,170,172,172,173,173,179,188,189,185,171,158,139,127,108,104,108,118,124,128,137,150,166,173,171,171,168,165,167,170,170,182,189,174,175,174,167,154,146,139,125,121,111,101,149,164,170,174,178,178,175,172,172,172,170,165,168,171,168,201,190,166,162,158,165,172,170,159,151,150,153,107,140,186,176,177,176,175,175,175,173,173,172,165,168,171,174,191,163,154,161,167,175,180,177,168,160,151,135,97,105,184,178,179,177,177,177,175,173,173,172,166,170,169,189,197,160,154,157,162,169,172,173,163,146,142,123,84,86,171,182,178,178,178,177,175,175,174,173,168,172,170,193,175,162,165,161,162,165,172,175,160,137,143,137,84,73,146,187,177,178,178,178,177,178,175,173,169,172,171,188,177,181,174,173,174,181,185,174,160,152,148,124,91,76,133,188,178,179,179,178,178,177,175,175,169,172,173,183,203,200,171,169,171,170,168,162,154,143,125,99,91,83,122,188,179,180,180,179,179,179,176,175,171,174,173,182,210,200,174,165,154,135,133,143,141,140,137,89,84,88,138,189,180,181,181,180,179,178,178,176,171,174,172,186,199,194,181,163,148,151,168,169,153,145,154,108,71,111,183,182,182,181,181,181,180,180,178,176,171,174,172,189,193,196,191,164,159,173,180,160,147,139,130,107,84,136,190,181,182,182,182,181,180,180,179,178,172,176,173,189,196,188,185,168,163,168,167,156,142,128,109,96,91,157,189,183,183,182,183,183,182,181,179,178,172,176,173,188,196,189,181,169,162,162,147,135,116,99,93,88,109,179,186,185,184,183,183,183,181,181,179,178,172,176,172,182,191,192,178,162,150,139,116,97,75,69,80,121,176,188,185,185,186,186,184,183,181,181,180,179,171,175,171,178,188,179,158,146,135,116,95,79,66,81,106,180,191,185,185,186,186,185,184,184,182,180,179,179,171,175,171,172,183,162,147,144,137,106,91,89,74,88,151,190,184,186,185,185,183,182,182,183,182,180,179,177,171,176,167,164,177,152,150,151,124,100,94,96,82,131,189,186,186,187,187,185,183,183,182,182,181,180,178,177,171,175,164,160,172,145,156,151,118,99,93,98,123,185,188,186,187,187,186,185,184,182,182,182,181,180,179,178,171,177,162,163,166,149,159,147,118,98,93,101,168,192,186,187,188,186,185,185,184,184,183,182,181,180,180,178,170,177,154,169,169,147,153,135,107,93,97,109,178,188,186,187,188,186,185,184,185,184,184,184,182,180,179,178,169,172,150,177,163,141,139,116,98,94,98,124,188,185,185,184,185,184,183,184,183,181,183,182,181,180,180,177
23,140,143,145,150,152,156,159,160,162,163,165,166,167,168,169,169,169,169,168,167,168,167,166,166,166,166,164,162,141,143,146,150,153,156,159,161,163,164,166,168,168,169,170,170,170,170,170,169,169,168,167,167,167,167,166,164,142,144,147,150,154,158,160,162,164,165,167,169,169,171,171,171,171,171,171,171,171,170,169,169,168,167,167,166,144,145,149,153,156,159,161,163,164,166,169,169,170,169,165,169,173,173,173,173,173,172,171,170,169,169,168,168,145,145,150,154,158,160,163,165,166,166,169,176,185,180,150,133,161,170,175,174,173,173,172,171,170,169,169,168,145,146,152,155,158,161,164,166,166,174,190,187,184,172,156,145,145,132,172,175,174,174,173,173,172,170,170,169,146,147,151,155,158,162,164,167,168,187,185,154,147,127,131,139,124,131,173,175,175,175,175,174,173,172,171,171,147,148,152,156,160,164,166,169,170,186,169,138,96,129,168,169,164,173,177,176,176,176,175,175,174,174,173,171,146,149,153,157,161,165,168,170,170,189,171,149,89,144,180,179,181,180,180,179,179,178,176,175,176,175,174,172,148,150,154,159,163,165,168,171,171,192,175,157,113,159,178,140,170,181,180,180,179,179,178,177,177,176,175,174,149,152,155,158,163,166,168,172,173,197,186,189,194,198,178,104,136,185,182,180,180,181,180,179,178,177,177,176,150,153,157,160,164,167,169,171,177,203,210,211,196,183,141,99,122,182,184,182,183,182,181,180,180,179,178,178,150,153,158,161,165,168,172,184,196,204,208,202,192,173,107,117,139,125,161,177,182,184,183,183,181,180,180,179,151,154,158,162,166,169,196,203,200,204,208,201,186,151,94,109,134,89,88,114,145,184,184,183,182,182,181,180,152,155,159,164,167,173,204,195,189,194,194,183,177,132,85,81,109,92,85,96,101,173,187,185,184,184,182,181,152,155,160,166,167,176,203,193,198,206,200,190,169,124,90,74,79,92,92,100,103,168,188,186,186,185,184,183,151,155,160,166,168,170,212,212,209,200,180,162,140,109,95,82,55,73,93,101,108,171,189,187,187,186,185,184,153,155,161,166,169,170,213,209,187,154,124,111,101,104,102,74,42,69,96,106,113,177,190,188,188,188,186,186,154,157,161,166,170,169,203,191,164,125,100,69,81,109,99,64,62,79,97,106,113,180,191,190,189,189,188,187,153,157,162,167,170,167,193,188,153,109,85,61,89,86,67,64,79,91,94,105,122,186,191,191,191,190,189,188,155,158,163,168,172,165,190,186,148,116,95,72,58,51,65,79,93,100,98,109,159,193,192,192,192,192,189,188,154,158,163,168,173,164,188,186,154,124,101,91,68,62,88,103,109,111,104,135,192,194,194,193,193,192,190,189,154,158,164,168,174,161,186,190,159,129,108,102,87,78,103,113,115,112,107,158,198,196,196,195,194,194,192,191,155,158,165,169,174,162,180,187,157,133,113,106,95,83,104,113,114,110,114,178,197,196,196,196,195,194,193,193,156,159,165,170,174,165,176,183,154,133,114,107,98,90,103,110,113,110,140,196,198,196,197,197,196,194,193,193,155,159,165,170,175,170,175,179,152,131,113,104,101,99,106,110,111,130,183,199,199,198,197,197,197,196,194,193,155,160,166,171,175,172,175,175,145,124,109,105,105,104,104,110,131,184,200,200,200,200,199,198,197,196,195,194,155,159,165,170,175,172,178,177,142,121,109,107,107,107,106,110,167,199,200,200,200,200,199,199,197,196,195,194
3,92,104,111,113,119,126,128,132,136,139,142,144,145,147,148,147,151,142,149,149,150,151,151,150,150,150,151,151,93,105,112,114,121,129,130,134,137,140,144,147,148,149,150,148,177,114,126,157,150,151,151,150,149,149,150,151,95,107,113,115,124,131,134,137,140,143,147,149,151,152,154,152,190,122,91,161,155,154,154,151,152,151,151,150,98,109,114,118,125,133,137,141,144,147,150,154,157,157,158,153,196,134,75,166,149,155,157,155,155,154,153,152,101,111,116,121,129,136,140,144,148,152,157,157,159,163,163,169,173,118,72,188,125,131,166,158,158,157,157,157,105,115,120,123,132,140,142,147,151,158,155,161,170,147,180,215,177,164,119,171,146,90,173,162,162,161,161,161,108,117,122,129,137,143,147,149,150,148,178,209,204,148,101,130,180,194,156,99,147,85,127,177,166,165,165,164,112,121,126,133,140,146,148,181,178,147,183,160,175,186,156,45,89,140,84,67,122,122,84,140,177,169,170,169,116,125,129,136,145,146,176,181,156,163,133,81,75,166,179,83,90,96,63,129,135,134,95,99,184,173,174,173,119,128,132,140,148,155,192,127,71,129,72,64,38,56,95,60,73,52,45,159,172,170,109,100,186,176,178,177,121,130,135,141,151,161,197,144,82,138,111,102,70,81,67,46,52,55,52,163,201,187,118,104,191,179,181,181,125,132,136,145,156,159,202,163,113,150,169,145,116,101,87,82,72,67,55,143,203,187,117,109,194,182,184,184,128,135,139,149,160,161,199,186,157,139,138,103,106,114,113,122,94,108,99,136,201,180,106,107,196,185,188,187,131,138,142,151,162,166,205,188,143,123,119,105,112,123,140,135,147,168,191,189,174,150,95,104,200,189,191,190,133,141,145,155,165,168,208,188,138,112,108,116,121,137,155,165,190,196,204,190,147,108,92,99,201,192,193,193,136,143,148,158,168,170,206,201,160,123,108,128,128,144,178,185,196,203,200,172,127,94,76,116,208,195,197,197,139,145,151,160,170,172,202,217,177,144,114,113,128,160,188,192,205,211,196,158,113,86,63,178,206,199,200,199,141,147,152,163,173,175,195,222,194,166,135,113,129,157,186,201,216,210,181,140,110,63,112,215,201,203,202,201,143,149,155,166,174,179,191,224,209,180,152,132,132,146,180,207,214,202,167,123,94,59,176,211,202,205,204,202,147,150,158,168,176,184,188,219,217,196,163,153,148,144,174,205,205,187,148,111,72,87,213,205,204,204,208,213,149,153,161,170,179,186,187,204,214,210,183,167,158,142,183,192,197,165,126,96,54,147,218,205,214,220,202,165,151,156,163,172,182,188,191,190,207,211,194,178,164,139,175,184,172,140,104,72,69,210,221,211,181,123,65,33,153,158,166,176,184,191,195,188,196,204,196,184,165,139,138,171,149,118,92,52,150,219,143,83,42,25,25,23,156,159,169,178,185,191,195,196,189,204,197,184,166,141,123,149,143,108,77,86,179,82,29,22,26,22,24,17,159,162,171,179,187,194,196,200,189,207,193,175,160,133,120,132,127,100,69,87,71,32,41,15,13,32,18,11,161,164,172,181,188,194,197,200,194,205,175,155,153,132,124,120,111,100,71,32,18,30,50,18,0,24,30,5,158,163,171,182,189,193,197,201,188,208,189,167,170,151,129,120,104,100,60,35,20,4,41,33,0,6,34,21,159,164,174,183,190,195,197,206,181,204,207,187,190,156,134,120,100,97,52,30,31,0,14,41,6,0,18,30
1,165,167,169,170,171,171,170,170,170,168,166,166,167,165,165,168,166,161,158,159,156,154,150,149,147,145,142,140,167,167,170,171,171,171,171,170,170,168,167,168,166,169,168,134,148,164,157,157,156,154,150,150,147,146,143,141,167,167,169,172,172,173,173,173,172,171,169,172,165,124,146,106,94,173,162,158,156,154,152,151,148,146,145,143,168,170,171,172,172,174,173,173,173,172,171,172,171,96,97,123,63,95,120,166,157,155,154,152,149,147,146,145,171,173,174,174,175,176,176,177,175,174,173,173,166,87,100,123,41,74,71,158,162,157,155,154,150,148,147,145,173,175,175,177,177,178,178,178,178,175,173,179,158,72,111,109,39,98,65,143,166,157,157,155,154,151,149,148,175,176,177,180,181,181,180,180,180,180,132,144,154,70,128,111,46,106,57,132,170,160,159,157,155,154,151,148,177,179,181,182,181,182,182,182,180,184,117,101,158,76,127,104,48,114,65,129,173,162,163,160,157,155,153,149,180,182,182,182,183,183,183,184,184,182,97,107,134,66,129,82,59,129,68,122,176,164,164,162,159,157,156,155,182,183,184,185,187,186,186,185,188,175,79,119,114,68,134,80,83,133,55,123,179,166,166,164,161,158,156,155,182,183,184,186,187,188,189,187,190,176,81,120,131,75,137,96,81,128,57,132,181,169,168,167,164,161,158,155,184,185,186,187,188,189,190,188,194,166,66,120,143,72,129,95,70,132,74,128,182,170,169,167,165,162,160,157,183,186,188,189,190,191,192,189,197,167,72,115,130,52,106,64,67,139,67,125,187,170,172,169,167,164,161,158,185,188,191,191,191,193,194,190,198,175,77,93,128,81,104,115,113,95,67,104,175,174,172,170,169,165,163,161,187,189,191,193,193,194,194,192,200,162,99,118,114,118,113,120,122,78,79,59,102,185,171,170,169,166,165,163,189,190,192,193,195,197,197,197,200,173,146,112,84,94,98,108,105,91,70,75,73,170,175,171,169,166,165,163,189,191,193,194,196,198,199,198,205,177,128,85,76,79,103,117,93,82,106,126,73,134,185,171,171,166,165,162,191,192,193,196,197,197,199,201,207,172,121,78,79,86,114,123,127,137,121,137,100,98,185,173,173,168,165,163,193,192,195,197,198,199,200,201,202,176,128,80,80,94,120,134,146,167,129,123,118,70,172,177,172,171,167,164,193,193,197,198,198,200,201,202,197,177,139,92,68,98,122,141,145,148,143,111,86,45,163,179,172,171,168,165,194,195,196,199,199,200,201,202,194,181,151,109,76,81,124,155,157,150,126,98,66,53,179,177,173,170,169,167,192,193,196,199,200,201,202,203,193,174,149,113,86,81,131,167,158,142,118,92,47,102,193,176,174,172,171,167,193,196,198,200,201,202,203,204,192,170,150,121,93,96,142,164,149,132,107,83,39,156,188,178,175,173,171,167,194,197,199,200,201,202,204,205,199,174,152,134,111,107,151,158,149,125,97,57,68,192,180,180,176,175,173,170,195,197,199,202,203,203,205,207,205,179,155,141,122,106,139,143,130,108,82,27,139,195,181,181,178,176,173,171,196,198,199,202,204,205,206,207,207,192,165,147,128,104,121,126,104,84,34,78,196,187,184,182,180,177,174,172,196,198,200,201,200,203,206,208,206,196,169,137,125,115,113,108,83,40,71,193,192,187,184,182,179,176,174,171,195,199,200,201,201,205,208,209,199,192,171,142,144,120,104,92,53,37,178,199,188,189,184,182,179,176,174,172
4,153,156,159,160,163,165,167,170,170,172,172,173,175,175,175,176,175,175,173,173,173,173,173,172,172,171,171,170,153,157,159,162,164,166,167,170,172,173,173,177,177,175,173,174,180,176,176,175,175,174,174,172,173,172,172,171,155,158,161,163,166,167,169,171,173,172,172,168,174,188,173,135,146,182,177,177,176,175,175,174,174,174,172,172,156,159,161,164,167,170,171,174,172,186,179,147,138,205,180,139,98,182,183,181,178,178,176,176,176,175,174,174,157,161,164,166,168,171,172,172,168,211,201,160,112,179,186,140,92,135,152,163,183,178,178,178,177,176,175,175,158,162,166,168,169,168,180,194,176,154,199,180,123,154,192,141,74,91,140,107,155,185,177,179,178,177,176,176,159,162,166,169,171,172,202,208,182,112,176,182,118,130,180,127,71,98,144,112,90,182,181,180,179,178,177,176,160,162,167,170,171,175,198,190,173,109,161,165,111,104,150,116,67,116,153,116,76,172,185,181,179,179,179,178,160,165,168,169,171,172,197,174,176,112,146,154,108,80,123,106,79,166,159,107,77,175,185,180,179,181,179,178,161,165,167,170,173,172,201,167,159,147,132,158,139,84,109,88,87,165,131,79,77,184,184,180,180,181,180,179,163,166,169,172,173,174,208,196,164,126,94,171,154,149,138,129,131,151,142,97,78,188,185,183,182,182,181,179,163,166,171,172,173,178,211,190,160,119,87,103,107,162,143,156,172,183,176,120,95,191,185,185,183,183,183,181,164,167,171,172,172,185,209,170,135,113,96,83,76,108,144,154,166,172,160,118,90,182,186,185,184,183,183,183,164,167,171,174,171,192,209,173,141,109,89,86,95,95,117,133,132,140,146,129,81,154,193,184,184,183,184,184,164,168,171,175,171,197,208,177,141,113,98,93,100,122,115,121,143,150,160,141,91,122,198,184,185,185,184,184,165,169,172,176,173,203,205,171,133,107,100,93,96,130,127,160,182,183,186,153,110,85,186,189,186,186,184,184,166,169,173,176,175,205,203,170,135,112,101,101,103,127,143,189,200,193,197,165,122,72,150,198,187,189,186,186,167,169,173,177,176,203,196,171,139,125,114,106,105,125,185,198,202,185,179,153,116,71,143,199,187,189,187,186,166,169,172,176,175,200,190,171,146,127,113,108,112,163,209,205,192,176,152,131,96,80,178,193,188,189,187,186,166,167,172,175,174,198,197,173,137,116,110,117,135,198,209,200,176,155,131,107,74,125,197,188,188,188,187,185,166,168,172,175,175,194,202,175,145,143,125,126,156,207,202,187,162,138,114,87,79,182,192,189,188,188,187,185,166,169,172,175,176,187,198,182,159,154,136,113,169,206,188,169,146,124,100,67,129,201,189,190,189,189,187,186,166,170,172,176,177,186,202,184,160,155,138,112,177,194,169,148,124,103,82,76,185,193,190,189,189,189,187,186,167,170,172,178,173,189,210,192,167,150,126,113,173,176,150,128,103,91,59,131,201,189,190,190,190,190,188,186,167,170,172,177,170,207,208,184,158,135,104,121,162,145,114,99,87,66,86,190,191,190,190,190,190,189,187,186,168,171,176,173,184,216,200,183,163,128,114,135,145,111,89,86,76,74,175,197,191,193,192,192,191,191,190,189,158,160,163,159,202,207,199,188,160,136,129,133,128,99,92,95,71,135,184,177,180,180,180,180,180,181,180,179,112,111,103,133,210,191,182,173,144,132,144,116,105,92,89,84,77,106,107,107,107,106,106,106,107,110,111,109
18,165,166,167,168,169,170,171,171,171,172,172,172,171,171,171,170,168,168,169,168,167,165,166,165,164,164,162,161,166,168,170,170,170,171,172,173,173,173,173,173,172,171,172,171,170,170,170,169,170,168,167,166,166,165,163,163,167,170,172,172,172,172,174,175,174,175,174,174,173,173,173,173,173,172,170,173,172,169,167,167,167,166,165,164,168,171,173,174,173,173,175,175,175,177,177,175,175,175,175,174,174,171,176,158,161,172,170,170,168,167,167,166,171,173,174,174,174,175,176,178,177,178,178,177,178,179,177,175,174,177,202,126,122,180,170,171,170,169,168,167,172,174,175,175,176,177,178,179,178,179,179,178,176,174,176,181,167,183,210,133,85,178,172,172,171,172,169,169,174,175,176,177,179,180,181,180,180,181,179,182,189,151,122,149,131,147,211,166,81,126,185,171,173,174,172,171,175,177,178,179,180,181,181,183,183,183,181,182,192,181,137,107,115,158,210,174,110,72,157,180,172,174,173,172,176,178,178,180,181,183,184,185,184,182,188,159,114,147,165,121,88,117,181,178,134,111,84,160,181,175,175,173,178,179,180,181,183,184,185,184,188,202,190,162,125,80,151,134,89,68,96,153,148,121,82,98,189,173,176,174,178,180,182,183,184,185,186,182,212,209,207,167,139,89,101,126,80,56,56,148,167,126,93,91,187,175,177,176,179,181,183,185,185,187,183,200,200,189,209,169,143,98,65,86,74,52,51,160,175,145,92,94,188,177,178,178,180,183,185,186,188,187,190,224,202,172,184,161,139,94,62,72,62,54,48,134,172,155,95,85,188,180,180,178,182,184,186,187,187,188,209,200,173,173,176,121,101,79,67,98,48,46,60,143,173,156,99,84,189,179,181,180,183,185,187,189,185,199,223,196,157,140,150,90,85,67,91,93,75,123,126,141,163,139,93,81,190,181,182,181,185,186,187,189,187,200,226,207,184,132,107,125,88,27,99,140,170,171,166,124,125,122,96,71,181,185,183,182,186,187,189,191,187,212,225,213,187,143,112,121,70,50,185,198,187,162,147,131,95,113,101,67,176,189,184,185,186,188,190,191,191,220,223,204,161,141,127,112,79,162,211,193,182,157,126,130,98,96,85,76,189,185,185,185,188,189,191,190,197,221,222,195,162,154,119,88,143,204,198,188,169,150,130,120,104,88,62,130,197,186,186,185,187,189,192,191,201,223,219,190,162,161,117,126,181,207,192,178,167,151,123,113,99,75,68,184,189,188,187,186,188,189,191,192,203,221,213,192,175,173,118,159,175,197,185,168,162,141,111,103,92,55,114,199,187,188,187,187,188,191,193,192,203,216,210,194,186,156,124,132,173,174,173,161,150,127,105,93,78,57,175,195,189,189,187,187,189,192,193,191,203,217,208,203,183,140,108,130,158,163,159,155,137,116,95,85,50,118,202,189,191,190,189,189,191,192,193,193,207,206,201,196,159,115,107,142,149,160,153,140,125,100,82,60,73,191,193,193,194,192,190,190,189,189,193,194,211,203,197,184,158,138,136,141,153,156,147,126,112,92,69,53,170,199,192,194,193,192,190,190,195,200,194,196,219,214,213,198,186,168,148,128,148,152,134,109,96,79,47,145,204,192,195,194,193,192,191,191,165,149,189,209,221,212,211,197,176,157,144,120,138,143,117,100,88,54,130,205,194,196,195,195,194,192,192,191,102,67,78,172,214,210,206,191,168,141,136,120,134,127,105,94,61,108,208,197,197,196,196,195,195,194,194,193
0,199,199,199,199,199,199,198,198,198,199,199,199,198,198,196,196,195,195,194,193,192,191,191,191,189,188,187,186,200,201,200,200,201,201,201,200,200,200,200,200,200,199,198,197,196,195,194,194,194,193,193,192,190,188,188,187,202,202,201,201,201,201,201,201,201,201,202,202,201,201,199,199,198,197,197,196,196,195,194,193,192,191,190,189,202,202,202,202,202,201,201,201,202,202,203,203,203,202,200,199,199,199,198,196,195,192,189,194,194,193,192,191,203,203,204,203,203,203,202,202,203,203,203,204,203,201,191,178,179,189,179,168,177,179,164,185,195,195,194,193,204,204,205,205,205,204,204,204,204,204,205,203,199,192,170,140,126,141,146,129,129,157,142,163,195,196,195,193,205,205,206,206,206,206,206,205,204,204,201,185,163,158,156,133,106,101,132,121,102,138,139,136,185,196,195,194,207,206,206,206,207,207,206,201,185,177,185,167,129,109,137,138,118,103,134,124,98,123,143,115,147,188,196,196,207,208,208,207,207,206,202,191,161,133,159,160,124,98,127,143,126,106,137,128,94,103,142,121,110,149,191,196,209,208,208,208,208,205,194,184,158,128,146,159,131,104,123,144,123,102,135,127,88,83,138,136,106,113,182,197,209,209,209,209,208,202,185,175,164,140,140,160,133,105,113,141,120,89,111,106,77,85,145,144,103,117,188,199,209,209,210,210,208,198,178,163,161,143,131,151,131,102,98,129,109,66,69,72,66,110,159,140,99,143,197,200,211,211,211,211,207,196,180,152,145,131,108,131,128,100,75,85,76,50,60,72,93,146,163,127,104,171,200,200,212,213,213,211,205,190,170,135,120,100,73,97,113,88,53,47,64,90,119,123,136,162,151,108,121,191,202,201,212,214,213,212,204,189,175,145,114,84,61,69,83,69,56,73,117,152,162,156,144,146,129,90,144,201,203,201,213,214,214,213,204,191,185,162,129,104,89,88,99,105,118,143,166,173,167,158,133,116,98,89,168,204,204,202,213,214,214,213,203,191,190,170,142,121,110,116,138,160,172,181,184,175,160,147,117,88,78,123,194,206,205,203,213,213,213,213,204,188,190,174,149,126,119,131,162,183,189,191,185,168,149,132,100,72,105,178,206,207,205,205,211,212,212,213,205,184,184,175,155,134,129,143,176,190,191,188,176,155,135,112,81,92,167,204,207,206,205,205,212,213,213,214,209,186,180,177,162,148,141,154,181,189,188,179,160,140,118,91,84,150,201,207,207,206,204,204,214,214,214,214,213,193,177,178,171,158,146,157,178,181,178,165,142,121,98,80,129,195,208,208,207,206,205,204,214,214,214,214,214,201,177,176,170,155,143,151,169,168,160,144,121,97,78,110,184,208,209,208,207,207,206,205,214,214,214,214,215,208,182,173,165,149,140,145,159,155,141,122,96,74,97,171,207,210,210,209,208,207,207,206,214,214,214,214,214,208,185,173,160,146,140,143,152,146,126,102,76,92,164,205,211,211,211,209,208,208,207,206,214,214,214,214,214,202,182,173,164,157,152,147,148,139,113,83,78,154,205,212,212,211,211,210,209,208,207,206,195,197,198,199,199,188,179,179,173,168,159,150,143,128,97,69,105,191,210,211,212,211,210,209,208,207,206,205,136,138,140,141,144,158,177,185,178,169,159,149,133,110,84,65,108,166,175,176,178,180,181,181,182,183,184,183,108,108,107,106,110,143,176,186,177,168,159,145,118,98,77,60,85,114,119,119,120,121,122,123,125,127,127,127
11,180,183,185,187,188,189,190,191,192,192,193,192,192,195,195,196,194,193,193,194,192,192,192,192,190,188,187,186,181,185,187,187,189,191,193,193,194,194,194,196,199,189,197,198,197,196,196,196,194,194,193,193,193,192,189,188,185,187,189,191,191,193,194,196,196,197,196,204,213,150,196,200,198,197,198,198,198,197,196,195,195,194,192,191,187,188,191,193,194,194,196,199,199,199,197,218,211,132,192,200,199,199,200,200,200,199,199,198,197,195,194,193,188,190,193,194,195,196,198,200,200,200,200,240,194,131,198,201,201,201,200,201,201,201,200,199,198,197,196,194,191,193,194,196,196,198,200,201,202,199,216,248,163,142,204,201,202,203,203,202,202,202,202,201,200,198,199,197,192,194,195,197,199,200,200,202,203,199,239,239,143,172,207,204,204,205,206,204,203,203,203,203,202,200,200,198,194,196,198,200,201,201,201,204,201,214,254,213,132,192,208,207,207,207,207,206,205,206,206,204,202,202,201,200,195,198,199,201,202,203,205,205,207,244,247,174,135,208,209,208,208,208,208,208,207,207,207,205,205,203,202,202,196,198,200,202,204,206,206,204,225,255,232,133,160,214,210,209,209,210,210,210,209,209,208,207,207,206,204,203,199,201,202,204,205,207,208,205,240,255,215,119,194,214,210,210,209,210,211,211,211,210,209,208,207,207,207,205,201,202,204,206,207,209,209,214,253,255,201,170,223,190,208,213,211,212,212,213,214,212,210,210,208,208,208,206,201,203,205,207,209,209,206,232,255,254,249,241,209,141,188,216,213,213,214,214,215,213,212,211,210,209,209,208,201,204,207,208,207,211,222,250,255,255,252,204,143,127,171,218,214,215,216,215,214,214,213,213,213,211,210,208,203,205,208,211,232,246,253,254,254,241,221,181,125,123,153,218,215,216,216,217,217,216,214,214,214,214,210,209,204,207,206,233,255,254,254,255,254,212,141,147,126,130,138,215,218,218,218,218,218,217,215,215,215,214,213,211,205,207,212,250,252,249,255,255,243,190,133,126,128,130,133,210,220,219,219,218,218,218,218,217,216,215,214,214,207,207,227,255,253,254,251,230,195,198,154,124,123,128,135,211,220,220,222,220,218,219,218,218,217,216,216,216,210,207,243,255,253,238,203,165,139,207,177,132,118,123,147,219,222,221,222,221,221,221,220,219,219,216,216,215,209,217,253,255,240,190,143,105,90,207,188,130,126,177,211,224,226,226,225,222,221,223,222,221,219,217,217,217,207,232,255,248,220,175,135,96,147,205,140,105,137,212,223,217,204,180,159,149,150,166,209,224,220,220,219,219,210,248,255,243,201,153,117,92,133,144,87,89,87,104,131,135,137,134,130,135,132,121,129,200,224,221,221,220,225,255,253,225,170,127,102,92,91,94,91,94,99,96,107,129,143,153,148,148,140,126,111,142,226,219,220,220,247,255,246,202,157,123,96,90,90,94,102,107,114,117,134,147,151,151,152,159,180,185,163,179,225,220,220,218,255,255,235,186,147,115,89,91,100,114,125,127,130,133,148,146,166,198,219,225,228,228,229,225,223,223,227,180,255,252,218,173,139,110,90,109,125,137,144,143,138,131,147,191,228,230,229,228,227,227,226,227,229,217,174,120,255,241,200,161,131,109,99,129,143,144,143,148,132,171,218,230,229,228,229,229,227,228,227,230,200,139,109,100,250,225,181,150,129,111,105,132,140,141,141,134,167,232,230,230,230,229,229,230,230,230,231,200,130,114,104,95
23,123,126,127,132,138,143,146,150,153,155,157,159,160,163,165,166,167,166,167,167,165,165,165,164,162,162,162,162,124,128,128,134,140,144,148,150,152,156,158,160,162,164,165,167,168,167,167,166,167,166,166,166,165,165,164,163,124,128,129,135,141,144,148,151,154,158,159,161,164,164,166,168,168,168,166,167,168,168,166,166,167,166,166,165,125,129,131,135,141,145,150,153,155,159,161,164,166,168,168,168,168,168,168,170,171,172,173,169,167,166,166,166,127,129,132,137,143,148,152,154,157,161,162,164,166,167,170,170,171,171,170,171,167,150,145,161,170,169,167,167,128,130,132,139,144,150,154,157,159,162,164,165,167,168,170,173,172,171,170,168,160,147,138,129,153,156,171,167,129,131,132,139,145,150,154,157,159,163,165,167,168,170,172,172,174,178,163,171,165,124,150,142,107,81,173,169,128,132,136,141,145,151,155,158,161,165,167,169,172,173,175,174,182,176,131,140,106,53,106,91,76,131,175,169,130,135,137,141,147,152,156,160,163,166,168,171,172,175,174,181,181,170,105,43,95,142,176,160,169,179,173,173,132,136,138,143,148,152,156,160,163,167,169,170,172,175,175,187,176,172,104,77,194,178,180,180,177,174,174,173,133,135,138,143,149,155,158,161,165,167,170,172,173,172,173,179,165,167,145,146,165,136,114,173,177,175,175,175,134,136,140,145,150,156,160,163,166,169,172,173,178,161,157,154,167,173,174,183,168,140,49,136,189,175,176,175,135,137,140,146,151,156,161,164,165,169,172,180,182,157,135,134,142,140,133,149,143,127,49,119,192,175,177,176,136,136,139,147,153,157,162,165,166,171,172,184,175,144,113,103,146,157,146,132,111,116,59,108,194,178,179,177,137,138,140,147,154,158,162,165,170,171,177,191,176,142,118,113,125,146,152,159,140,98,43,96,194,178,180,179,136,138,142,149,155,159,162,167,171,170,187,191,178,160,158,158,137,112,100,113,125,95,23,105,200,178,180,180,137,139,143,150,156,160,165,169,172,174,193,190,178,159,159,147,162,139,113,99,70,56,24,99,181,184,181,181,137,139,144,151,156,160,165,169,170,189,195,196,171,144,140,105,158,160,125,93,59,32,60,106,124,197,180,182,137,139,144,151,156,162,167,164,184,204,195,186,138,92,96,77,82,133,139,82,42,38,67,93,50,130,194,181,139,141,145,151,157,164,162,178,207,204,187,161,135,93,46,55,76,170,157,71,41,37,66,62,29,28,176,187,140,141,145,151,157,161,171,205,207,195,175,149,134,100,39,77,141,163,124,52,35,30,63,53,41,18,142,195,141,142,145,152,158,158,202,210,198,181,159,154,131,86,36,31,68,88,70,29,26,51,61,54,27,57,176,188,141,143,146,153,154,178,216,204,193,172,157,147,115,82,52,22,27,37,45,41,34,64,60,42,83,176,192,186,139,139,150,155,163,214,203,197,183,161,147,132,103,74,43,38,63,69,66,60,45,38,63,133,196,192,186,188,138,141,130,120,203,210,191,183,166,150,134,117,88,62,38,55,76,78,71,52,37,93,182,197,188,188,188,187,137,149,64,20,194,206,180,167,147,131,118,102,76,56,44,65,70,63,36,47,148,199,193,187,189,188,188,187,142,121,34,20,56,147,169,148,137,123,111,92,70,47,43,58,53,29,60,168,201,189,190,190,189,189,188,188,144,63,17,26,20,31,82,107,108,103,91,82,51,22,22,33,36,87,184,200,189,192,192,192,191,189,189,189
15,113,126,136,145,152,153,157,164,170,175,180,185,189,193,196,200,203,206,209,210,211,213,213,216,216,217,219,218,116,128,137,146,154,156,159,166,173,177,181,187,189,193,199,203,206,210,211,211,213,215,215,218,218,219,222,221,117,129,140,149,157,159,161,168,176,179,184,188,193,196,200,205,208,210,211,213,214,216,217,217,218,219,221,223,119,132,141,150,156,158,161,171,177,181,186,191,195,199,203,206,209,212,214,215,217,219,220,219,221,223,223,224,120,133,144,152,157,158,163,173,178,183,188,193,195,200,203,207,212,214,216,218,220,221,222,222,225,226,226,226,121,134,145,154,159,161,166,174,181,187,191,194,197,202,206,210,212,216,217,218,220,222,224,226,227,227,228,229,123,135,147,155,157,163,168,175,182,188,192,196,200,205,207,210,214,217,219,220,223,225,227,229,229,228,229,230,123,136,147,160,225,200,181,179,182,190,194,199,203,209,209,214,218,220,222,224,225,226,229,230,230,230,230,232,125,140,144,176,255,210,196,194,187,198,198,196,194,200,210,218,220,222,224,225,226,228,228,231,232,233,234,234,127,140,150,160,195,194,185,178,179,204,202,197,189,173,188,200,207,216,223,225,230,235,233,233,235,236,236,236,128,140,153,162,165,169,166,158,166,184,187,189,187,189,198,188,192,198,211,212,201,213,232,239,234,237,238,238,131,144,155,163,169,172,177,184,186,187,183,173,172,185,190,183,178,175,200,213,201,184,173,216,247,237,240,242,132,146,156,163,170,173,178,187,194,199,203,200,196,192,184,171,160,173,198,210,220,183,173,158,206,249,241,243,132,146,157,165,172,175,180,187,193,200,205,210,215,217,216,206,197,211,209,202,210,201,185,193,155,196,251,241,135,148,160,167,174,177,181,188,195,201,206,212,215,221,219,233,255,237,201,155,208,208,182,208,186,144,202,255,137,148,160,169,175,176,181,189,196,202,209,212,238,207,181,200,234,227,180,116,199,208,187,207,204,177,133,205,137,151,162,170,177,177,183,191,198,205,208,221,245,203,166,207,255,241,178,153,181,193,202,202,194,176,147,128,140,153,162,173,178,179,185,193,199,207,211,220,219,177,170,217,255,233,171,165,166,164,183,189,164,165,155,139,140,154,165,175,178,181,186,193,200,208,213,215,226,225,183,208,239,207,178,177,179,176,182,185,152,144,154,150,140,154,166,175,176,180,187,195,202,208,214,215,231,255,237,147,127,131,149,183,192,188,196,191,162,152,154,151,142,155,167,175,178,181,189,197,203,209,217,219,223,255,252,169,77,46,36,62,131,187,189,186,171,171,159,142,142,156,169,177,179,181,190,197,204,211,218,220,222,255,250,162,100,90,60,27,31,143,175,165,154,135,113,93,143,156,169,177,179,181,190,199,205,212,218,223,221,255,250,135,142,145,127,87,57,67,114,100,84,66,61,52,144,158,170,177,179,181,191,201,207,214,218,225,221,255,255,148,184,180,166,159,123,77,68,64,63,57,59,56,143,158,170,178,181,184,191,199,208,212,218,225,222,254,255,159,174,194,174,146,98,72,69,67,69,60,60,56,143,158,170,177,178,182,190,200,207,212,218,222,224,235,255,167,170,254,221,130,82,64,68,68,67,61,60,58,145,158,170,177,179,184,192,202,208,214,218,224,226,237,255,140,191,255,234,120,72,65,68,67,64,60,62,61,146,160,171,179,181,186,193,202,208,215,219,225,226,239,206,170,245,247,248,125,84,75,73,64,61,62,63,63
1,68,49,36,30,33,26,0,30,52,65,77,83,92,97,99,101,106,110,112,114,117,119,120,122,124,125,125,126,70,46,40,29,39,18,0,36,55,64,91,97,63,95,102,107,108,111,113,116,118,121,122,124,127,127,127,127,71,45,46,29,46,10,0,40,56,69,99,116,46,72,95,86,113,113,116,119,120,122,125,128,129,129,130,130,70,46,49,28,52,2,2,39,78,107,65,117,65,67,103,46,98,118,118,120,122,125,128,130,130,130,131,131,70,47,51,30,55,0,9,40,88,115,57,114,80,67,117,52,69,124,118,122,125,128,129,131,132,132,133,133,67,48,51,32,57,0,16,44,85,123,64,105,98,65,120,76,52,121,121,124,128,129,131,133,134,134,134,135,65,52,51,36,56,0,23,43,83,128,62,107,125,74,103,94,46,108,125,126,128,130,133,134,136,135,136,136,63,56,50,41,49,0,30,67,76,134,79,102,131,77,103,120,55,86,131,126,129,132,134,135,136,136,137,137,61,59,46,47,44,0,61,112,65,137,96,87,124,80,100,130,71,66,131,126,130,133,135,137,138,138,138,139,59,61,44,55,36,0,71,107,59,129,99,75,122,87,84,124,83,59,128,130,132,134,137,138,139,139,140,140,58,64,40,60,26,0,70,110,54,120,106,65,127,101,74,128,93,56,124,132,132,135,138,138,139,140,142,141,60,67,38,66,16,0,69,121,56,117,120,57,115,113,68,132,102,54,115,134,134,136,138,139,140,142,142,142,61,69,38,72,7,0,65,136,69,98,130,61,78,115,49,108,109,50,106,138,134,137,139,140,140,142,143,143,65,70,38,75,0,3,55,126,70,75,131,64,66,110,64,108,112,51,86,141,134,137,139,140,140,142,143,142,68,68,40,74,0,12,47,118,91,61,113,94,94,96,109,116,83,49,65,139,134,137,139,141,142,142,142,142,71,66,45,70,0,18,43,121,103,57,106,113,90,77,99,111,69,36,48,130,137,137,140,141,142,142,142,143,73,63,49,67,0,23,42,116,96,102,106,107,111,96,129,137,82,34,25,114,140,136,140,142,143,144,144,144,78,61,55,62,0,28,42,116,117,119,90,95,103,103,128,124,88,55,20,90,144,136,141,142,143,144,144,144,83,59,65,59,0,30,44,129,128,100,81,74,85,93,99,106,108,81,34,58,142,139,142,143,143,144,145,145,87,57,72,51,0,31,42,120,121,87,67,80,87,102,126,122,123,107,66,40,130,140,140,141,142,142,143,144,90,54,79,39,0,31,35,101,120,82,67,83,89,108,139,137,129,122,86,47,124,138,137,137,139,141,141,139,90,50,86,28,0,29,34,73,122,92,73,74,95,109,136,146,125,111,78,52,126,135,136,137,139,139,145,167,89,49,90,19,0,32,37,51,110,100,82,72,93,108,135,143,121,100,66,43,125,135,136,138,141,137,146,178,88,52,85,63,45,59,64,63,96,113,94,77,82,103,129,136,116,95,62,41,111,118,119,121,120,123,113,116,86,52,87,69,19,25,27,26,40,108,100,90,80,93,123,126,104,88,57,37,48,49,53,48,72,118,116,109,83,55,91,64,23,28,30,33,29,62,105,96,90,86,106,115,94,78,51,37,49,50,47,51,114,121,113,105,79,56,91,61,23,29,30,30,33,29,81,102,96,83,81,95,82,64,45,41,47,48,42,89,130,117,111,103,73,52,93,56,20,27,28,29,32,28,49,104,89,75,69,73,68,57,37,41,45,44,48,120,124,114,105,100
11,116,121,125,129,132,134,137,140,141,144,145,147,148,151,154,153,155,156,156,158,159,160,160,161,161,160,160,159,117,121,127,130,132,137,139,141,143,145,147,149,152,154,154,155,156,158,159,161,162,162,162,162,162,162,161,161,118,122,127,131,133,137,139,142,145,146,148,150,153,154,154,157,158,159,160,162,162,163,164,163,163,163,162,163,119,124,128,132,135,137,138,142,146,147,149,151,153,156,156,154,161,161,162,163,163,163,163,164,164,164,164,165,120,126,130,133,135,138,141,144,147,150,152,153,155,156,161,142,121,165,163,164,165,165,165,165,165,165,166,166,122,127,130,134,137,140,142,146,148,151,153,155,156,155,164,150,85,158,166,165,165,167,168,167,167,167,167,166,122,127,131,135,139,141,143,147,150,152,154,155,157,155,174,142,84,159,167,167,167,167,167,168,167,167,167,166,122,128,133,136,138,141,145,148,151,154,156,156,158,157,182,117,94,171,165,168,169,168,168,168,168,168,168,169,123,129,134,138,139,141,145,148,152,154,156,158,157,166,184,106,113,175,167,169,170,170,170,170,170,169,169,168,124,130,133,138,140,142,146,148,152,155,156,157,156,179,156,89,134,174,168,170,171,171,171,171,171,170,170,170,125,130,133,138,141,144,146,149,153,155,154,154,160,185,113,83,158,170,169,170,170,171,171,171,171,170,170,170,125,131,134,138,142,143,148,150,150,150,168,166,117,132,96,100,174,168,170,170,170,171,172,171,172,171,170,170,125,131,135,137,140,147,139,151,171,131,134,154,104,80,80,135,176,168,171,171,171,172,172,171,171,172,171,170,125,131,135,158,181,172,130,94,163,126,84,128,101,70,74,162,170,169,171,172,172,172,172,172,173,172,172,173,126,126,154,166,152,172,130,83,146,104,97,143,91,57,93,176,168,170,171,172,172,174,174,174,174,172,173,173,125,133,158,142,124,160,125,86,140,86,113,134,81,51,117,180,169,171,172,172,172,174,175,175,175,175,173,172,121,146,165,123,96,142,115,81,122,80,125,113,67,50,132,178,168,171,172,172,173,173,174,175,175,175,174,173,121,167,163,127,101,124,82,87,101,73,117,93,60,46,141,177,169,173,174,175,174,177,178,174,175,174,174,174,134,184,153,129,103,103,73,99,75,81,134,70,49,53,117,175,169,167,159,151,145,142,160,180,174,175,174,174,154,185,146,128,106,89,83,117,47,58,107,55,77,97,99,136,153,159,158,149,138,119,105,139,179,175,174,174,157,175,151,134,115,95,92,106,91,108,119,131,137,133,140,149,155,150,135,117,110,116,108,81,162,178,174,175,150,172,155,142,122,105,116,142,158,153,149,150,146,131,136,137,109,105,121,136,157,170,158,138,169,178,175,175,154,180,156,146,124,111,128,158,151,142,148,143,134,106,97,96,126,161,178,181,180,179,180,182,177,176,176,176,171,180,148,137,116,111,128,148,141,139,142,126,97,75,109,157,179,177,175,175,176,177,176,176,177,177,177,177,182,147,130,122,116,118,125,130,136,132,115,78,79,135,174,176,173,174,175,176,177,178,178,177,176,177,177,178,179,141,128,130,127,123,123,115,119,100,67,103,161,175,169,171,175,175,175,176,177,178,177,177,177,178,177,176,173,157,119,142,141,125,116,98,89,72,126,169,167,165,168,170,172,172,172,174,175,176,176,177,174,175,177,181,172,159,114,150,145,119,100,85,64,119,170,160,163,165,167,169,170,172,172,173,174,174,175,175,186,195,196,197
12,155,158,161,163,165,167,169,171,173,175,176,176,177,178,179,180,180,180,180,180,180,182,181,181,182,182,183,182,157,159,161,164,167,169,171,173,175,177,178,178,180,180,181,181,181,182,182,181,182,183,182,182,183,184,184,184,159,161,164,166,169,171,173,175,177,179,179,180,182,182,182,182,183,184,185,184,184,185,183,184,186,186,185,186,161,163,165,168,170,173,175,177,179,181,181,181,185,185,185,185,186,186,186,188,186,186,187,187,188,188,187,187,162,165,167,170,172,174,177,179,181,182,182,184,180,167,170,186,188,175,157,163,188,187,189,190,189,188,189,189,164,166,169,171,173,175,179,181,182,183,184,197,187,160,135,169,199,180,147,112,175,186,186,191,191,190,190,190,166,167,171,173,176,178,180,182,184,185,187,216,209,182,145,130,200,182,153,117,129,143,143,151,189,192,192,192,167,169,172,174,177,180,182,184,185,187,192,217,221,195,157,124,197,191,158,126,81,126,133,104,150,196,194,194,169,171,173,176,179,181,183,186,188,188,196,207,217,208,172,134,188,197,156,115,77,143,141,95,104,194,195,196,171,173,175,178,180,182,184,187,188,189,194,164,151,192,175,130,168,184,142,101,78,149,144,92,92,191,197,197,172,174,177,179,181,184,186,188,190,204,198,143,108,137,157,116,151,165,134,104,78,142,141,98,90,190,199,199,173,176,178,180,183,186,188,190,204,207,193,148,119,102,138,107,138,161,129,98,80,146,139,102,94,193,200,200,174,176,180,182,184,186,189,196,203,184,194,164,129,89,106,104,125,158,134,95,91,165,154,108,103,199,202,201,175,178,180,183,185,187,189,200,188,157,183,162,126,87,83,120,122,170,153,104,112,201,174,112,129,204,203,202,176,178,181,184,187,189,192,204,191,157,160,158,127,86,68,117,106,148,146,101,99,175,144,85,117,200,204,202,177,179,182,185,188,189,195,200,181,148,144,162,119,86,45,65,56,76,136,113,127,151,114,94,87,153,206,202,178,180,183,186,189,191,198,206,183,152,135,156,109,87,47,40,49,120,181,182,175,165,136,110,89,117,205,204,178,181,184,187,190,192,202,206,183,151,121,141,108,94,49,56,106,178,194,188,171,155,129,103,86,130,207,205,179,181,184,187,190,190,202,206,185,162,130,119,114,105,65,90,169,200,204,190,162,145,122,96,84,159,210,207,180,183,185,188,191,191,203,206,191,173,155,128,110,101,108,145,203,207,211,185,153,136,114,92,89,182,211,208,181,183,186,189,192,193,203,208,197,179,167,157,136,123,144,162,208,213,208,176,143,126,105,87,114,201,210,209,182,184,186,189,192,194,201,207,199,185,174,169,157,136,141,157,209,212,193,165,136,117,98,84,153,210,210,209,182,185,188,190,192,194,198,201,196,189,178,170,159,141,133,162,208,205,177,153,128,108,92,89,185,211,210,210,182,186,190,192,193,195,197,196,194,191,178,171,159,142,129,162,194,190,160,138,118,99,86,110,205,210,210,211,182,186,189,192,194,195,198,198,197,194,179,170,160,142,126,158,179,167,143,124,108,93,84,153,213,211,212,212,183,186,188,191,192,194,196,198,200,191,175,164,152,134,121,153,162,142,128,110,98,88,106,195,212,212,213,212,184,186,187,190,193,195,196,196,201,184,163,153,135,119,123,148,150,130,119,102,93,90,157,209,210,210,212,212,184,186,187,191,193,195,195,195,204,182,164,151,126,120,128,147,145,126,113,98,89,119,200,209,209,210,212,212
13,182,185,188,189,191,191,193,196,196,194,194,196,196,197,199,197,196,200,198,198,197,197,197,198,198,197,197,197,185,187,189,191,194,195,197,197,197,197,197,197,197,198,190,199,204,199,199,199,199,199,201,200,200,201,199,198,187,189,192,193,194,196,198,197,198,201,206,202,206,199,148,109,183,207,200,199,202,202,203,203,204,204,202,202,188,191,195,195,197,199,199,199,200,197,177,185,219,204,154,67,141,221,203,210,204,206,206,205,205,206,205,205,189,193,195,196,199,202,203,199,220,201,139,112,185,201,153,75,118,141,123,167,211,206,206,205,204,205,206,205,191,194,196,199,200,203,203,196,231,222,165,107,176,206,139,70,93,158,103,55,186,216,208,208,207,207,207,208,193,194,197,200,201,200,207,169,120,161,188,113,167,202,128,62,171,183,120,50,138,225,209,210,210,212,211,210,195,197,200,203,201,211,218,168,121,84,170,111,157,227,128,96,192,156,112,53,143,225,209,212,213,213,213,212,197,202,204,202,212,213,210,190,145,84,138,128,121,190,109,100,200,162,104,44,170,224,211,213,215,214,214,214,199,203,205,205,219,176,188,198,140,82,99,148,72,36,42,111,215,168,85,54,195,219,214,215,214,216,215,214,200,203,203,212,219,184,159,184,144,77,76,139,88,0,52,153,160,99,46,75,217,217,216,217,215,216,217,216,204,205,206,224,213,178,135,188,139,79,70,117,93,16,43,165,180,133,73,126,234,216,220,219,218,217,218,217,204,205,207,231,216,178,124,173,132,79,61,117,103,62,168,168,163,155,124,94,217,220,220,220,219,218,219,219,204,206,210,233,206,169,118,143,137,89,60,164,132,129,212,184,153,123,105,66,173,232,221,222,220,220,220,220,206,207,212,232,207,179,153,125,130,128,42,145,165,199,200,177,149,106,86,68,188,229,221,223,222,221,221,220,206,207,217,232,209,186,166,132,100,84,57,171,213,222,197,164,136,100,78,82,217,224,223,224,225,223,223,222,207,207,217,233,210,184,167,158,118,102,128,218,219,220,185,151,122,92,70,112,233,222,225,225,225,223,223,224,209,208,216,225,211,190,175,169,131,117,122,205,220,205,162,131,108,84,66,174,237,226,229,226,225,224,225,225,209,210,212,215,213,194,179,172,144,115,124,207,217,185,149,120,98,70,110,231,228,230,229,227,226,227,227,226,209,210,210,215,216,197,179,172,150,119,140,191,205,165,140,108,90,62,180,238,225,229,228,228,227,227,227,226,207,210,211,216,217,198,178,167,148,117,148,181,173,145,127,100,79,86,222,227,226,228,227,227,227,227,227,227,207,211,209,218,216,188,172,156,130,116,157,161,142,132,111,94,65,152,238,226,227,227,227,227,227,227,226,227,208,211,203,220,207,177,168,140,122,125,160,144,131,123,101,79,99,221,228,227,227,228,228,228,228,228,227,228,207,207,203,232,200,181,169,140,134,145,162,138,129,106,90,75,190,232,226,228,228,228,228,228,228,228,228,227,209,202,211,237,203,195,172,140,146,160,146,125,114,89,66,142,231,226,227,227,228,229,229,229,229,228,228,228,209,200,214,220,197,199,178,149,157,153,131,111,94,74,82,214,229,227,227,227,227,229,230,229,230,229,228,228,213,195,212,204,182,184,169,145,145,146,120,91,88,57,150,233,227,229,227,228,228,229,230,230,230,230,229,230,148,168,218,195,172,153,145,132,143,153,103,87,81,63,182,220,218,223,225,226,228,229,231,231,229,232,227,218
10,58,89,90,94,98,103,109,118,125,128,131,134,138,142,144,146,149,149,151,152,152,152,152,153,154,153,152,152,62,90,91,95,99,104,111,119,126,130,133,137,141,144,146,149,150,159,150,153,155,154,154,154,154,154,154,153,67,92,92,96,100,104,113,121,128,132,136,140,144,147,149,148,157,187,134,143,159,156,157,156,156,155,155,154,72,92,93,97,100,105,114,124,131,135,138,143,146,148,151,151,161,186,142,128,164,158,160,159,159,158,158,156,76,93,94,98,101,105,116,126,133,134,139,144,148,152,154,154,159,188,162,123,163,161,161,161,160,160,159,158,81,92,95,98,101,107,118,128,133,148,145,143,153,154,156,157,158,194,185,124,158,165,163,162,161,162,161,160,85,94,96,98,102,108,119,128,136,190,144,107,145,157,159,161,160,192,185,129,150,170,165,165,165,164,163,162,88,93,96,99,103,110,120,130,136,163,132,104,101,166,146,138,165,187,192,134,139,173,167,167,166,167,166,165,90,92,95,100,104,110,121,132,139,143,138,118,107,161,121,117,167,190,200,140,127,176,169,170,168,168,167,166,92,94,96,100,104,111,123,132,141,144,149,142,137,170,119,84,161,188,175,132,109,173,172,172,171,170,169,169,94,95,97,100,104,111,124,134,142,146,149,161,148,172,131,83,130,176,129,112,96,167,175,172,173,173,171,171,95,95,97,101,104,112,125,136,144,147,150,158,153,174,149,122,98,118,107,110,93,160,180,175,176,174,173,172,96,96,97,101,104,113,126,137,145,148,152,161,170,145,166,157,135,91,85,101,92,143,186,177,178,177,175,174,96,96,97,100,105,114,127,137,147,150,150,178,182,125,132,189,164,138,101,92,88,114,187,179,180,179,178,177,96,97,97,101,105,114,128,139,148,150,157,173,192,159,91,157,190,161,139,88,79,96,184,183,182,181,180,178,96,96,97,101,104,114,129,140,146,158,194,149,175,152,102,145,201,172,147,93,73,97,185,185,183,183,182,181,97,96,98,102,104,115,130,142,146,165,209,153,133,163,130,190,191,164,147,103,79,78,171,191,185,185,184,183,97,96,98,102,104,116,131,142,149,155,191,170,122,187,174,202,194,160,142,109,85,74,167,193,187,187,185,184,97,97,98,101,104,116,131,142,152,151,175,173,128,189,146,182,196,168,133,106,90,78,175,193,188,189,187,185,98,97,98,102,104,117,132,144,152,152,173,188,162,160,101,196,192,159,129,104,92,85,182,193,190,190,190,188,98,97,97,100,104,118,132,144,153,156,157,199,199,152,131,208,185,154,126,101,93,90,187,195,191,191,189,188,97,97,98,101,105,118,132,146,154,156,159,180,214,204,188,202,176,147,121,102,95,97,193,194,193,192,190,190,98,96,97,100,104,118,133,145,153,156,161,172,211,208,188,177,163,138,120,109,93,111,201,193,194,193,192,191,98,96,95,98,104,118,132,144,152,155,162,163,157,202,169,149,158,146,133,122,91,128,202,192,194,193,192,191,96,95,95,97,102,117,132,144,151,154,165,154,65,188,155,163,169,167,159,135,86,128,202,192,194,194,193,191,95,93,93,96,101,117,132,144,153,153,167,147,36,160,196,178,157,162,152,116,72,67,198,196,195,194,194,192,92,90,91,94,99,114,130,143,151,154,168,127,39,107,167,153,135,137,115,73,37,92,206,194,195,194,193,192,97,93,94,94,99,114,129,142,149,153,163,112,51,74,74,68,62,62,52,39,26,131,206,192,195,194,194,192
22,94,98,103,120,135,146,149,153,161,167,171,175,179,181,185,185,188,189,189,187,187,186,186,183,182,182,180,179,95,98,105,122,136,147,150,154,163,167,173,181,180,183,187,188,190,182,184,191,188,189,187,189,186,184,181,181,96,98,106,125,139,148,152,157,164,179,183,149,185,185,189,188,206,161,132,197,190,189,192,173,183,189,183,182,96,99,108,127,140,151,155,161,162,198,202,113,179,190,190,191,217,159,114,198,192,195,200,127,143,197,186,184,97,99,109,128,141,151,157,163,164,196,213,119,168,196,190,196,213,148,125,205,191,206,197,117,148,199,188,187,97,100,110,130,144,153,158,164,168,188,219,130,153,200,192,199,206,142,141,206,195,209,178,110,179,197,190,188,96,99,111,131,144,154,159,166,171,184,227,159,138,201,195,197,186,127,151,206,209,218,153,122,202,192,192,190,97,100,113,131,144,156,160,166,173,181,225,169,127,194,199,199,188,116,159,208,215,202,133,156,205,194,195,192,97,101,113,131,146,158,161,167,176,181,219,179,117,179,204,198,192,118,173,220,215,166,112,187,201,197,196,194,97,100,114,134,147,159,163,168,178,181,212,208,138,159,209,186,172,101,198,234,210,144,123,207,199,198,198,196,98,100,114,134,149,161,166,170,178,184,200,216,144,129,197,161,158,128,218,220,195,117,162,212,201,200,198,197,97,101,115,136,151,162,165,172,180,188,193,212,136,93,152,167,189,214,221,200,153,107,200,207,203,202,200,198,97,101,117,136,152,162,166,173,182,189,188,209,158,121,173,179,189,207,203,186,111,150,218,203,204,204,202,200,98,101,118,138,152,163,167,175,181,202,190,151,158,134,162,174,197,190,199,159,100,194,215,207,206,205,205,202,97,102,118,138,154,165,168,176,182,218,183,175,157,166,131,112,163,179,168,119,103,205,213,210,209,207,205,203,95,101,119,138,155,165,168,177,183,225,201,187,188,176,134,97,89,135,133,102,111,217,211,211,210,209,207,205,95,101,120,140,156,166,170,175,190,232,209,162,140,156,160,146,110,82,85,88,111,220,212,212,212,211,208,205,97,102,121,141,157,167,170,179,191,236,217,148,88,98,160,164,144,113,96,78,86,212,218,213,212,211,209,208,95,101,121,140,157,166,170,179,186,234,228,173,157,85,204,187,157,134,114,68,70,206,220,213,212,211,211,210,93,98,120,140,156,166,170,179,183,230,237,185,161,130,226,208,169,139,118,64,82,218,216,213,211,211,212,211,92,97,119,141,158,166,169,180,182,225,238,186,162,195,217,188,170,128,108,59,109,230,213,214,212,212,212,210,91,96,119,141,158,167,170,179,184,214,234,209,172,217,216,168,175,146,101,54,131,230,213,216,214,211,211,210,84,90,115,138,157,166,171,181,189,206,226,212,173,208,208,174,164,150,97,50,171,232,219,220,217,214,214,213,114,118,127,138,150,158,162,168,178,174,215,213,175,171,189,157,140,120,74,64,189,203,197,197,197,196,195,195,123,123,119,113,117,120,119,120,127,86,118,213,153,126,142,128,106,86,67,84,115,111,109,109,109,108,111,108,121,121,123,123,123,122,122,124,124,79,43,114,131,125,135,143,120,91,58,85,121,113,113,113,112,112,91,63,123,124,123,124,124,124,124,129,102,58,63,45,89,134,137,143,111,66,20,61,125,114,114,115,95,67,44,36,123,123,123,123,123,123,126,123,72,65,63,60,48,69,96,84,46,21,10,82,124,112,116,95,53,48,38,28
17,143,146,147,149,151,152,152,154,155,157,156,158,159,160,160,163,163,161,164,163,163,165,164,164,165,164,165,164,143,146,148,150,152,153,153,155,156,158,157,159,160,161,163,163,163,167,167,168,165,165,164,165,166,165,165,164,143,145,149,152,152,153,155,156,156,159,159,159,160,162,163,165,154,138,147,131,166,167,166,166,167,167,166,165,144,146,148,151,153,154,155,157,158,159,158,160,161,164,163,168,169,116,96,93,159,170,167,168,167,168,167,166,145,148,150,152,154,155,156,159,161,161,161,162,163,165,164,167,183,137,85,86,166,169,168,169,167,168,168,166,145,148,151,152,153,155,158,160,160,162,162,164,168,165,167,166,183,153,95,95,176,168,169,169,168,169,169,167,146,149,151,153,155,158,158,159,159,162,165,157,149,174,168,165,186,160,105,122,179,169,170,170,169,169,170,168,148,150,152,153,157,158,159,161,163,162,166,162,120,136,174,173,185,154,109,140,177,171,172,171,171,170,170,170,149,151,153,154,156,158,160,159,160,156,170,169,144,122,141,168,183,153,107,138,178,170,172,172,171,171,170,169,149,152,153,155,158,158,157,173,164,120,135,175,177,172,130,97,150,151,110,138,180,172,174,172,171,172,171,170,151,153,153,157,159,159,162,175,168,125,140,153,169,182,160,100,102,131,104,136,181,172,173,172,173,173,172,172,151,154,155,157,160,159,170,164,149,148,117,107,100,189,181,128,86,107,93,132,182,173,174,173,173,173,173,172,151,153,155,157,160,158,174,162,111,116,107,81,75,176,194,149,92,90,83,129,183,173,175,174,174,173,173,173,151,154,156,158,161,160,177,160,134,133,116,110,110,159,204,159,107,86,86,122,182,174,175,175,174,174,174,174,152,155,157,158,160,163,184,161,142,134,119,132,139,165,195,162,122,86,82,120,183,174,176,176,175,175,175,174,152,154,157,161,159,171,178,141,130,128,131,138,175,200,168,158,127,85,74,119,184,174,176,176,176,176,174,172,152,154,158,162,157,178,178,146,134,128,136,153,204,196,164,143,120,83,68,121,184,176,177,176,176,177,175,174,152,156,157,160,158,185,180,153,137,128,137,183,201,183,160,138,112,84,69,140,185,175,177,176,176,176,177,175,152,156,158,161,159,189,179,159,148,129,155,201,192,180,153,126,108,80,80,168,180,176,177,178,177,176,176,175,153,156,160,162,160,196,180,165,161,138,163,199,182,176,156,118,102,72,111,186,175,178,178,179,177,177,176,175,154,157,160,163,161,198,185,170,170,151,161,192,177,169,150,115,93,74,155,184,176,178,179,179,177,177,177,177,154,158,160,162,158,193,194,175,167,159,156,181,173,170,145,110,84,91,180,178,177,177,178,178,177,177,177,177,155,158,161,164,160,184,195,173,161,157,160,170,163,174,153,107,80,107,186,177,179,179,179,179,179,179,178,177,156,159,160,163,161,182,189,170,161,152,159,168,160,174,146,109,80,134,188,177,180,180,180,180,179,179,178,177,155,157,161,164,161,186,192,178,163,159,163,169,158,169,132,102,88,169,182,179,180,179,180,180,180,180,178,177,153,157,161,164,163,193,199,176,161,167,170,163,148,158,120,85,119,187,178,180,180,180,180,180,180,180,179,178,155,158,161,163,163,200,193,163,162,169,171,151,137,143,106,83,164,183,179,180,181,181,180,180,181,180,180,178,156,158,162,163,166,201,187,159,163,170,166,144,134,129,92,103,184,178,180,181,181,181,181,180,181,180,179,179
18,137,138,138,140,142,141,140,141,141,139,138,137,137,136,135,135,135,135,134,132,131,131,129,128,127,126,124,123,138,139,140,142,142,142,142,142,143,142,140,139,138,138,138,139,139,136,136,135,133,131,130,129,127,126,124,123,141,141,141,142,142,143,144,144,143,142,143,144,146,144,142,137,131,141,137,139,139,137,130,130,129,128,127,125,141,142,143,143,143,144,145,146,144,143,143,112,88,130,138,98,69,89,144,125,102,112,136,131,129,130,128,127,142,143,143,144,145,146,146,147,146,152,143,99,66,57,109,102,67,37,85,96,68,46,97,141,131,130,128,128,144,144,145,145,146,147,149,127,98,117,142,107,88,55,86,131,72,60,32,84,77,45,34,132,134,131,129,129,144,146,147,148,147,147,155,126,97,75,102,131,88,67,63,130,76,68,64,60,71,59,22,107,140,132,131,130,145,148,147,149,150,149,153,139,118,102,67,114,106,71,45,90,95,81,78,68,86,73,25,107,140,133,132,131,145,147,148,150,149,155,139,138,129,106,81,66,105,76,51,62,104,91,80,79,83,69,24,112,143,134,134,133,147,148,150,151,149,158,142,102,116,104,72,32,92,84,51,44,93,84,80,76,72,66,22,97,146,135,133,132,148,149,150,152,149,156,131,61,88,102,44,21,68,64,33,30,72,44,65,95,92,71,29,80,149,136,135,134,148,150,151,152,150,158,130,93,85,95,39,24,51,42,24,20,48,25,47,130,106,78,38,61,150,137,137,135,149,151,151,152,152,159,142,121,80,88,59,31,47,52,26,19,44,24,21,108,110,84,51,40,143,140,138,136,151,151,151,152,154,160,145,113,83,65,51,23,50,62,23,17,33,69,104,110,129,100,62,25,125,145,139,138,151,151,152,153,155,158,124,92,73,53,34,22,33,30,21,30,66,124,131,116,118,103,65,21,109,150,139,138,151,152,154,155,156,157,138,113,91,70,50,48,40,43,65,92,125,136,130,125,98,87,55,18,115,149,139,139,153,154,156,156,155,159,148,123,97,68,48,47,58,75,99,122,142,139,122,111,90,62,41,28,138,144,142,141,154,155,156,157,156,157,150,129,103,75,59,57,61,76,119,139,149,138,114,98,80,55,20,60,154,142,143,142,154,155,156,156,157,156,150,136,111,89,70,67,59,90,136,146,144,128,107,90,75,48,11,110,153,142,142,141,155,156,156,158,158,154,148,134,112,94,77,74,65,101,144,139,133,121,102,82,68,37,27,145,147,144,143,142,156,158,159,160,160,153,138,125,111,96,84,82,71,104,141,131,124,111,96,74,59,20,65,158,143,146,144,142,156,158,159,159,160,157,136,128,117,100,90,94,75,108,131,128,115,96,84,67,49,11,113,156,145,146,145,142,158,158,159,159,161,161,142,126,118,107,98,97,77,109,125,121,111,89,71,56,29,32,152,148,147,145,145,143,157,160,160,159,160,164,152,126,121,114,102,91,75,95,120,112,100,80,59,47,7,91,161,148,148,147,146,144,158,160,160,160,160,162,159,140,127,115,104,93,79,83,106,102,86,67,51,26,26,151,151,150,149,148,146,144,158,158,159,161,162,164,162,149,133,121,108,99,87,81,96,94,76,58,45,4,93,163,149,150,150,148,147,144,158,159,159,159,162,163,162,157,142,118,103,94,90,87,90,88,72,56,26,32,154,153,152,151,150,149,147,144,159,160,161,160,162,163,161,156,142,120,113,112,106,99,85,83,66,48,12,92,165,151,152,151,151,149,147,145
4,157,159,161,165,166,169,172,173,172,175,176,176,177,179,179,178,178,178,177,176,177,176,176,176,175,174,173,174,157,160,162,166,167,170,172,173,174,175,177,178,178,181,180,178,179,180,179,177,178,176,176,176,177,177,176,175,158,161,164,166,168,170,172,174,176,176,179,179,179,179,182,182,180,180,182,180,179,178,178,177,178,177,176,174,159,163,165,168,170,172,173,175,178,177,178,180,178,189,177,167,183,184,171,182,182,180,180,180,178,176,176,176,161,164,166,169,171,174,175,176,177,177,180,174,200,206,174,138,179,194,151,145,184,184,182,181,180,178,177,177,161,165,169,170,172,174,176,179,174,209,211,172,183,219,174,143,197,192,162,103,167,168,173,185,181,179,178,178,163,167,168,172,174,174,178,177,184,240,237,192,135,215,180,139,218,197,139,129,189,137,113,177,182,179,180,180,165,168,169,174,176,175,180,173,206,230,230,178,127,208,181,145,209,184,167,189,154,127,85,134,190,179,182,181,165,167,171,175,177,179,180,177,225,202,217,161,112,182,191,193,192,214,240,202,127,94,84,122,192,182,183,182,166,170,173,175,177,181,178,187,229,190,202,174,92,162,175,198,213,224,215,196,160,100,69,136,193,182,184,183,167,170,174,175,178,181,176,216,225,184,176,177,83,148,145,117,172,195,182,199,175,120,70,150,193,183,184,184,166,170,174,176,179,178,185,234,197,164,156,123,84,151,147,85,182,149,165,216,185,137,89,173,190,185,185,185,168,172,175,178,181,175,201,237,186,150,143,126,111,128,125,97,175,115,136,242,203,156,100,178,191,186,186,186,169,173,175,178,182,174,218,239,187,148,128,111,115,119,120,132,144,152,167,231,216,165,100,137,197,187,188,186,169,173,176,179,183,176,232,236,187,145,124,111,120,118,144,169,182,216,212,200,200,159,119,105,193,189,189,188,171,174,177,181,183,181,241,234,182,140,141,125,116,109,159,192,216,212,207,188,154,163,129,111,191,189,190,189,170,173,177,180,181,189,248,230,178,155,166,137,119,155,209,224,215,211,194,166,131,137,106,137,198,189,190,189,167,172,174,180,179,193,250,228,192,192,179,141,181,226,240,228,213,203,176,148,125,108,100,176,193,190,190,189,170,173,176,181,179,198,249,236,216,206,190,152,213,234,240,236,198,185,162,141,120,92,134,198,189,192,190,190,170,173,177,182,179,197,251,243,224,200,195,163,217,240,237,222,182,165,150,135,110,97,183,195,193,193,191,190,171,174,177,182,182,188,247,242,225,202,188,179,219,235,218,200,170,149,142,123,90,141,201,192,193,192,192,191,172,174,178,181,184,184,240,232,216,207,190,184,205,214,195,173,156,150,138,102,101,191,197,195,193,192,192,190,171,173,178,181,184,184,235,218,206,211,198,185,196,204,187,163,143,143,126,89,159,201,193,194,193,191,190,188,170,175,178,182,185,184,229,207,205,209,192,170,192,207,183,150,128,130,106,129,202,197,198,195,194,194,193,192,166,169,171,174,179,175,225,217,210,200,188,169,182,206,168,130,120,116,107,174,186,183,184,182,181,181,182,175,112,112,112,112,115,106,218,232,220,205,192,173,171,199,157,122,114,105,97,105,105,103,103,102,102,105,95,111,100,101,101,100,106,90,205,247,225,210,202,179,157,196,165,121,104,98,96,94,93,94,92,91,93,84,128,207,108,108,109,110,114,96,189,248,222,203,200,179,146,188,166,116,101,95,99,101,99,98,99,101,89,142,225,216
5,103,107,111,113,115,118,120,121,123,125,126,127,127,131,132,133,134,135,137,138,138,139,140,139,140,141,141,141,104,108,111,114,117,119,121,122,124,126,127,128,131,132,133,133,134,137,138,138,140,140,140,140,140,141,142,141,105,109,112,115,117,120,122,123,125,127,129,129,110,131,134,134,136,138,139,139,133,140,140,142,142,142,142,142,105,110,113,115,119,121,120,126,127,127,129,141,87,120,137,135,138,139,138,147,105,122,145,141,142,142,143,142,107,111,114,116,119,123,135,103,123,130,130,146,89,116,140,136,138,139,141,149,90,116,148,142,144,145,145,144,107,111,114,117,122,118,150,111,99,134,132,152,97,117,141,137,139,139,148,120,81,140,145,145,146,146,146,144,109,112,115,119,122,119,138,134,89,133,135,152,103,115,142,138,139,148,145,85,105,151,144,147,147,146,146,145,110,114,117,120,124,123,132,159,105,121,142,139,89,114,144,139,142,147,118,86,143,147,146,147,148,147,147,147,110,115,118,120,125,125,128,171,125,105,144,129,94,112,146,136,136,117,79,119,151,145,147,148,149,148,148,147,111,116,119,122,125,126,125,161,150,98,139,125,107,108,144,130,127,77,97,151,147,148,149,149,150,150,149,149,111,116,120,123,126,127,126,142,169,136,117,114,109,99,124,126,116,81,141,149,147,148,149,150,150,150,151,150,112,116,120,123,126,127,129,131,164,165,128,94,101,84,95,117,94,104,153,148,150,151,150,150,151,151,151,149,112,117,121,124,126,127,129,130,146,174,151,111,85,81,84,89,81,134,151,150,150,148,150,152,152,153,152,152,112,117,120,124,126,127,130,132,134,170,159,121,86,74,78,75,84,150,145,142,140,138,142,145,143,142,147,145,113,118,122,125,127,128,131,134,131,164,162,121,85,71,71,73,84,116,133,134,127,139,152,147,142,142,133,106,114,119,122,125,128,130,132,134,134,173,160,124,91,68,68,71,87,97,116,118,94,96,114,109,111,128,118,86,115,119,122,125,129,129,133,132,141,182,151,119,90,70,67,73,84,88,81,85,95,127,131,131,131,136,108,99,113,118,123,127,128,129,133,129,157,181,142,115,87,70,68,71,73,77,105,131,151,160,156,142,140,109,101,150,114,118,123,127,129,131,134,131,172,172,137,111,83,69,70,74,62,111,158,160,155,145,129,131,124,87,152,157,114,119,123,127,129,131,132,142,183,166,133,100,82,67,68,78,88,107,112,133,132,128,137,134,94,108,162,152,115,119,124,127,128,132,129,158,182,157,124,100,85,66,70,84,101,111,108,104,125,134,130,105,103,148,157,155,115,119,125,127,128,131,131,174,176,148,118,106,89,65,80,105,118,123,115,110,126,109,101,130,158,159,157,156,116,120,125,127,129,128,144,182,171,144,118,109,90,65,87,118,120,122,118,98,89,108,148,161,156,156,156,155,116,120,124,127,130,127,166,179,163,142,119,105,89,67,95,123,113,120,106,80,117,158,158,155,156,156,156,156,116,120,125,129,126,143,180,167,159,138,107,95,81,69,102,118,109,108,94,136,160,155,156,157,157,157,157,156,116,121,125,128,126,166,172,157,150,127,95,90,74,77,100,103,103,95,142,159,155,157,157,156,157,157,157,156,117,121,126,125,147,169,159,151,148,126,85,82,76,82,85,91,107,141,159,154,156,157,157,157,157,157,157,157,117,121,125,127,171,161,154,145,154,121,75,84,86,76,77,115,153,156,155,156,156,157,157,158,158,157,157,157
20,71,75,79,88,108,125,132,137,147,153,158,162,167,175,166,177,181,177,178,178,178,178,178,177,176,176,175,173,71,76,80,90,112,129,136,142,153,159,163,168,170,203,141,138,173,183,184,183,182,183,182,181,180,180,179,178,73,77,81,93,116,132,139,147,158,165,170,176,176,219,153,140,143,147,197,187,188,187,186,187,185,184,184,183,74,79,82,97,119,135,141,150,163,170,175,182,181,225,155,145,181,101,190,196,193,192,191,191,190,189,189,187,74,80,82,99,121,137,144,154,167,174,179,185,187,221,152,127,199,94,158,207,197,198,198,195,194,194,193,191,75,79,82,102,124,140,147,156,169,176,182,189,191,221,178,113,193,118,130,213,201,203,202,200,199,199,197,196,75,80,84,105,126,141,148,159,172,180,185,191,192,225,185,108,192,152,113,211,208,208,206,205,205,204,202,201,77,80,85,107,127,143,150,162,174,183,189,196,196,228,172,103,184,159,102,205,214,211,210,209,209,208,207,205,77,80,86,108,129,146,152,164,177,185,192,199,200,237,187,104,185,186,104,196,220,214,215,214,213,212,211,209,77,80,87,110,132,148,154,166,179,188,193,199,202,228,182,101,173,199,112,185,226,216,217,216,216,216,215,212,78,81,89,112,134,149,155,169,183,189,199,198,172,209,138,87,166,195,109,171,232,220,220,220,220,219,215,214,78,80,90,113,136,150,158,172,185,191,206,231,203,199,172,88,146,187,104,155,236,222,222,220,221,224,230,224,78,79,91,116,139,153,159,173,185,189,208,248,234,163,170,149,115,123,92,143,234,221,230,235,229,209,164,100,79,79,92,118,141,154,161,174,197,183,179,187,223,175,106,139,155,108,70,114,242,231,200,152,111,74,45,48,77,79,94,120,142,156,163,173,219,239,196,126,166,219,126,77,134,151,98,80,166,109,62,46,44,56,62,57,74,76,93,121,143,155,163,177,210,212,224,164,106,200,207,93,100,160,155,99,51,42,44,50,50,42,59,55,73,75,93,121,144,155,162,180,201,135,146,182,155,160,209,122,98,148,169,141,77,42,45,36,56,42,45,56,73,75,94,122,145,156,165,181,212,178,123,109,167,155,109,100,92,102,156,155,114,61,50,35,39,51,39,46,68,69,93,123,147,158,168,183,217,187,120,101,110,122,116,134,141,130,157,151,130,83,34,55,32,41,41,42,100,102,108,120,134,142,152,158,202,179,135,129,132,143,162,184,211,214,181,123,119,83,13,48,49,32,39,36,106,107,107,104,107,109,113,103,158,216,178,138,136,167,187,220,238,216,174,120,100,72,7,29,54,43,39,31,108,109,112,115,114,114,118,112,136,222,192,156,138,176,187,227,235,210,168,121,96,70,14,14,45,46,44,36,110,112,112,114,114,116,119,117,121,214,211,185,139,182,186,220,225,192,157,123,97,70,29,6,32,46,44,41,110,110,111,111,112,114,117,120,113,193,218,196,146,182,182,197,217,191,153,121,96,60,42,9,16,44,42,40,108,109,111,111,112,113,115,118,111,154,215,199,160,186,165,171,198,201,154,115,96,46,46,22,4,36,43,35,109,109,110,110,113,113,114,117,118,117,190,211,178,186,159,147,184,190,144,105,88,34,45,37,5,17,44,30,108,109,110,110,112,113,114,115,118,113,139,207,190,178,159,129,154,164,130,106,68,4,40,47,22,4,33,39,107,108,110,110,111,112,113,113,115,118,112,187,200,173,152,132,127,145,129,111,36,0,25,49,34,10,14,37
14,99,104,108,112,116,118,120,123,126,128,130,132,135,135,135,136,138,140,142,143,144,144,145,146,146,146,147,147,101,105,109,113,117,120,122,125,127,128,132,134,137,137,139,141,143,144,144,145,144,146,147,147,147,147,148,149,102,106,112,116,118,120,123,126,128,129,131,132,133,142,117,113,128,131,145,149,150,148,148,148,148,147,150,151,104,107,112,116,119,121,125,128,129,128,137,140,142,132,72,61,113,119,137,113,126,155,149,148,149,148,151,151,104,107,112,116,119,123,126,127,129,149,152,132,107,87,66,55,99,124,114,57,92,162,148,153,153,153,153,152,105,110,113,118,120,124,125,131,163,164,128,66,42,49,64,62,74,85,81,45,45,145,154,152,155,154,154,154,106,110,115,120,123,125,124,170,170,130,86,35,11,20,44,59,91,82,90,97,69,106,150,154,155,155,154,154,107,110,116,120,125,122,137,183,123,66,30,39,28,45,57,24,47,73,79,111,121,87,98,164,154,156,155,155,108,113,118,121,125,120,164,167,89,31,24,37,30,65,54,32,56,72,86,75,83,51,57,161,156,156,157,157,110,115,119,121,123,128,183,139,77,23,20,20,23,44,30,59,79,37,82,102,92,80,67,95,163,160,157,159,110,114,118,122,119,150,178,111,44,18,28,36,35,21,26,68,64,52,147,164,150,111,88,62,114,151,160,158,110,116,119,125,122,173,149,87,47,42,35,43,39,41,46,35,53,135,161,155,159,160,121,115,77,138,165,159,111,117,121,121,141,186,137,90,68,43,35,38,39,49,55,28,114,167,154,156,162,143,128,111,73,162,160,161,111,117,123,119,170,183,131,86,55,38,33,32,37,48,41,62,160,156,158,159,160,130,132,76,104,172,159,161,111,117,123,120,178,168,121,84,44,31,30,34,43,46,27,86,167,152,159,162,155,122,124,56,109,174,161,163,112,118,124,122,184,164,112,68,34,31,33,39,45,34,24,65,161,161,161,161,113,117,119,61,89,174,160,163,112,119,121,132,190,150,111,71,39,33,38,42,47,46,54,60,100,150,152,129,125,127,114,58,102,174,161,163,113,120,118,146,191,146,109,69,42,32,35,49,53,63,80,91,80,76,105,129,139,132,87,88,162,164,162,163,113,121,115,160,187,142,107,68,44,34,37,49,60,76,90,102,105,92,128,134,133,99,92,164,167,163,163,163,113,121,116,171,178,140,108,75,50,36,40,53,76,92,106,106,108,102,121,129,92,90,163,169,165,167,165,164,113,120,119,180,169,138,107,79,57,40,39,64,96,109,119,118,107,102,98,89,76,159,169,165,167,167,165,165,114,119,125,179,159,135,104,84,60,42,40,74,113,117,116,117,112,100,60,63,152,167,163,167,166,166,167,167,114,118,133,176,149,128,109,90,64,45,42,83,119,113,113,112,113,73,71,153,169,163,166,168,167,167,167,167,117,117,140,172,141,129,117,92,71,52,47,82,119,112,96,106,85,71,160,169,164,167,167,168,168,168,167,167,116,115,153,174,143,137,121,93,73,60,45,71,107,99,84,86,67,146,171,165,167,167,167,168,168,168,168,168,114,115,171,175,150,142,119,93,74,59,44,61,87,79,85,54,132,170,163,167,167,166,167,168,168,168,168,168,115,123,186,167,158,141,105,82,67,49,47,61,68,61,76,129,170,161,165,168,168,168,168,169,169,169,169,169,109,145,185,155,153,128,85,71,58,47,55,57,47,65,137,169,162,163,165,168,168,169,169,169,169,169,169,169
0,215,216,217,216,217,218,219,219,219,219,218,217,218,218,218,218,218,217,218,219,218,218,219,219,217,217,218,217,216,217,218,217,218,219,220,219,220,219,219,219,220,220,218,219,221,223,219,221,220,219,220,219,219,220,219,219,218,218,219,219,219,219,220,220,220,220,220,219,219,221,229,214,184,199,225,213,217,224,221,221,220,219,221,221,218,219,219,219,221,220,219,221,221,220,223,221,194,192,235,208,182,160,166,178,172,207,213,181,216,223,221,221,219,220,220,221,222,221,221,222,222,224,243,229,197,164,206,215,197,178,124,170,169,155,201,152,204,228,221,222,220,221,222,222,222,222,221,226,208,199,247,227,205,177,201,232,199,183,139,187,181,152,179,157,196,229,222,223,220,221,223,222,222,222,225,248,207,170,214,238,210,184,191,246,210,187,144,200,182,144,157,162,174,235,222,224,220,221,222,223,224,220,236,243,215,190,191,249,216,184,179,246,213,184,141,201,179,134,146,173,133,223,224,225,221,222,222,223,220,235,231,230,225,202,170,235,222,181,162,244,211,174,125,174,170,127,136,182,122,179,235,224,222,223,224,223,224,238,207,226,233,207,160,214,227,180,144,219,201,162,118,150,157,121,137,186,131,155,235,224,223,223,225,222,233,230,195,208,231,206,158,188,221,174,130,185,190,157,122,136,147,114,153,195,141,159,236,227,223,224,225,223,233,226,202,195,214,191,150,162,204,167,123,156,185,154,120,138,148,124,190,205,149,161,237,228,221,222,222,227,234,216,192,169,200,184,147,142,197,166,114,135,187,150,115,158,152,148,215,202,150,169,237,226,222,222,223,223,244,229,201,160,175,187,139,133,192,170,113,131,194,151,170,211,180,156,205,207,148,180,237,226,223,224,223,225,243,232,205,172,141,169,157,129,195,182,123,139,194,196,211,204,191,165,164,195,142,183,236,226,223,224,222,229,247,236,215,189,157,147,167,145,193,191,177,209,217,213,204,193,177,168,149,153,130,180,237,226,224,224,223,228,248,241,220,198,186,176,172,191,202,212,226,227,224,215,202,188,169,156,150,135,121,178,238,227,224,224,223,228,243,242,228,211,200,191,182,186,206,218,224,224,226,216,197,184,167,149,140,135,118,198,236,229,223,224,223,225,238,239,234,222,213,197,191,187,199,214,223,223,219,211,193,181,163,146,138,123,163,232,232,230,225,227,228,222,236,239,240,231,217,201,191,190,200,218,226,223,213,205,191,177,159,143,123,152,229,229,230,230,194,197,203,195,224,241,243,232,218,204,193,190,200,221,224,218,208,201,188,170,152,134,133,222,236,234,236,236,137,139,143,131,184,243,234,227,219,208,197,186,200,218,214,205,195,188,177,160,145,129,153,196,196,199,198,196,144,144,144,133,157,239,223,219,219,212,201,185,196,215,208,194,179,168,159,151,135,137,138,137,135,131,151,180,142,143,145,139,150,233,214,217,221,213,199,185,192,213,204,185,160,147,143,136,138,145,139,138,163,203,236,234,141,141,142,140,147,231,214,217,221,209,200,190,188,206,198,173,143,134,129,138,145,146,171,209,240,242,230,215,141,141,142,141,143,235,227,218,220,206,196,193,183,193,190,160,134,129,131,136,156,218,249,255,244,238,232,215,141,143,141,141,140,231,234,225,218,204,197,198,179,185,184,153,131,127,130,178,240,255,252,247,238,244,247,233,142,142,142,142,140,222,233,231,218,204,197,198,176,178,181,150,127,117,182,246,244,247,249,237,234,240,249,249
5,143,146,149,151,154,157,159,161,161,163,164,164,165,165,165,164,164,165,165,163,164,163,162,161,160,160,159,158,144,148,151,153,157,158,160,163,163,164,166,166,166,166,167,166,166,165,166,166,165,165,164,163,162,161,161,160,145,149,153,156,159,160,162,164,165,166,167,168,170,168,169,168,166,174,126,153,170,166,166,165,165,164,162,161,147,151,155,157,159,161,163,166,167,166,174,159,130,174,170,168,178,167,105,150,173,168,167,166,166,165,163,162,149,153,156,159,161,162,164,167,169,167,182,151,107,174,172,172,185,128,118,174,170,170,169,168,167,167,166,165,150,154,157,160,163,163,168,170,171,167,193,129,124,181,171,183,161,99,153,177,171,172,171,171,170,169,167,167,151,155,159,161,163,173,146,163,173,176,194,104,148,182,177,181,128,118,179,174,173,173,173,173,172,170,170,170,153,156,160,164,163,183,132,135,177,188,181,100,166,181,179,154,106,160,182,176,176,175,175,175,174,173,172,172,154,158,161,164,165,180,155,115,179,191,148,109,177,176,171,113,126,185,179,178,178,177,177,177,176,175,174,174,155,158,162,166,167,176,173,108,174,181,114,123,184,165,160,103,156,187,180,180,180,179,179,178,177,178,177,176,156,160,164,167,170,172,189,130,150,180,121,125,176,158,147,109,172,186,182,184,184,182,180,179,179,178,178,178,158,162,165,169,172,171,190,159,122,176,131,116,142,148,123,121,187,184,181,170,173,183,185,181,180,179,180,179,158,162,167,169,173,174,183,185,140,130,131,117,124,140,110,133,190,176,176,178,171,164,164,184,182,182,181,180,160,164,169,171,175,177,177,185,174,135,124,128,124,128,109,128,161,172,163,164,173,175,142,163,188,183,183,181,161,165,169,172,174,178,179,179,192,175,138,125,113,114,106,125,135,141,127,117,147,157,162,130,165,187,183,183,161,165,168,172,175,178,182,180,203,203,154,123,111,107,104,119,125,108,131,172,191,183,166,162,133,184,185,184,162,166,171,174,177,178,182,181,193,215,166,122,108,106,105,114,112,130,193,192,189,183,175,141,154,191,185,186,163,167,172,174,177,179,183,183,186,216,165,125,110,106,103,115,101,152,202,188,190,170,155,116,174,191,187,188,164,168,172,176,179,181,184,183,184,205,160,128,112,102,102,117,117,127,168,195,184,166,137,111,176,192,188,188,166,169,173,177,179,181,184,184,182,208,163,129,117,104,103,114,123,135,135,141,167,166,124,130,190,190,190,189,165,169,173,177,179,181,185,184,185,206,161,138,124,107,101,116,128,141,149,128,154,154,122,165,196,191,191,190,165,170,174,177,180,183,186,184,186,199,163,145,126,109,101,122,140,147,151,132,131,140,135,193,191,192,191,191,166,171,175,178,181,183,187,184,184,198,166,146,125,111,102,125,142,145,142,127,120,121,166,198,192,192,191,191,166,171,176,179,182,183,187,186,187,193,163,143,127,115,108,121,135,135,133,121,125,167,196,194,194,194,192,193,168,172,176,180,182,184,187,184,197,195,158,140,131,116,114,122,132,132,125,124,181,200,194,194,194,195,194,194,168,173,177,180,183,184,188,182,203,203,169,145,127,118,114,120,125,120,121,167,200,194,195,195,195,195,194,194,168,173,177,180,183,184,189,184,201,194,166,134,116,118,119,121,122,132,177,199,196,197,196,196,196,195,195,194,169,173,177,179,183,185,189,188,201,191,169,134,115,118,119,117,133,189,203,196,197,197,197,196,196,196,195,194
7,142,153,161,167,172,174,176,177,180,183,184,185,185,187,187,188,187,187,186,186,185,182,181,180,178,177,176,174,143,154,162,168,173,176,177,178,182,185,186,187,187,188,189,189,188,188,188,187,186,185,183,181,180,180,178,175,144,155,163,169,174,176,178,180,183,186,186,188,189,190,191,191,190,190,190,189,187,186,184,183,182,181,180,178,146,156,165,170,175,177,180,182,185,186,187,190,191,192,193,192,192,192,192,191,189,188,187,186,185,183,182,180,147,156,165,171,175,179,181,184,187,188,189,191,192,193,193,194,194,193,193,192,191,189,189,188,186,185,184,181,148,157,166,172,177,180,181,184,187,189,191,192,193,194,195,195,195,195,194,194,193,192,191,190,188,186,184,183,149,158,166,173,178,181,182,185,189,190,192,193,194,195,196,198,198,198,196,195,194,192,191,190,190,188,186,185,149,158,167,173,179,182,183,187,190,191,192,192,190,188,185,179,170,168,168,168,158,150,162,166,175,189,187,186,150,159,168,173,179,183,180,169,162,158,156,156,150,139,132,134,114,117,122,122,119,120,154,154,147,189,189,187,151,160,168,173,179,180,164,136,122,128,130,134,133,126,120,111,106,105,108,104,109,107,116,114,142,183,189,189,152,160,168,173,176,170,153,124,106,110,113,116,119,120,121,121,120,107,107,115,111,107,101,97,112,135,160,189,153,161,168,168,165,156,147,130,116,112,119,127,132,133,133,129,121,99,99,114,106,98,96,90,103,119,125,185,158,166,165,162,156,154,148,135,127,128,133,139,132,128,125,120,103,91,92,96,91,88,87,85,90,104,141,189,172,168,165,162,160,156,142,117,101,108,117,118,110,108,105,100,96,107,120,135,144,152,156,160,164,172,187,193,174,170,169,165,156,141,131,99,85,94,92,81,98,136,150,168,181,192,199,203,203,203,202,201,199,197,195,194,173,171,167,154,139,133,122,98,84,74,65,59,73,103,111,152,206,206,204,204,203,202,202,200,198,197,195,194,174,170,156,141,130,124,125,121,100,73,68,71,70,66,60,73,186,207,206,205,204,203,202,201,200,197,196,194,168,156,137,129,126,125,133,134,107,75,70,73,73,71,66,74,186,208,206,205,205,204,203,202,202,200,198,195,148,136,125,123,119,114,118,112,86,67,61,61,67,67,63,68,178,209,206,206,206,205,203,202,201,200,198,195,133,127,122,120,114,103,99,92,76,60,53,63,70,69,63,81,179,209,207,207,206,205,203,202,201,200,197,195,127,120,114,108,100,89,87,92,86,70,69,76,75,68,90,178,207,208,207,207,206,205,203,202,201,200,199,196,116,107,102,98,95,94,100,106,92,75,71,73,81,103,173,208,208,207,207,207,206,204,202,201,201,200,198,196,111,107,105,100,96,95,97,94,79,80,119,151,176,195,205,205,206,205,205,205,204,203,201,200,199,198,196,195,103,103,101,95,89,86,85,87,110,163,195,202,204,204,204,205,206,205,205,204,203,203,201,201,200,198,196,194,74,76,94,94,95,104,130,164,188,197,198,200,202,203,204,205,206,206,205,204,203,202,201,201,199,197,196,193,33,45,147,158,167,177,186,190,193,196,198,201,202,202,203,204,204,204,204,204,203,202,201,200,197,195,194,192,14,56,163,173,179,182,184,188,192,194,196,199,201,203,203,203,203,202,203,202,202,201,199,198,196,194,193,189,7,81,179,176,177,178,179,180,181,182,180,180,182,182,181,178,176,176,175,171,168,166,163,160,157,152,145,121
7,218,219,220,220,220,221,220,220,219,219,219,218,217,217,216,215,214,212,211,210,209,210,195,112,96,84,87,113,222,222,221,222,223,223,222,223,222,222,221,220,219,219,219,218,217,213,212,212,212,209,217,136,85,68,79,99,223,224,224,226,228,226,224,226,225,226,224,223,222,222,220,220,219,216,216,215,214,212,220,166,65,56,77,85,226,227,230,229,230,230,228,227,227,228,226,226,226,224,222,221,221,220,219,217,216,216,215,207,75,41,63,78,227,229,231,230,231,231,230,230,230,230,229,229,229,230,227,225,224,223,221,220,220,216,215,220,163,95,70,94,229,230,232,233,233,232,232,233,234,233,231,229,229,214,213,220,217,209,201,207,194,215,213,213,167,168,185,169,232,234,236,237,237,236,236,235,233,233,232,234,234,208,192,219,227,208,192,196,177,228,209,193,118,194,219,203,235,237,238,239,238,238,239,239,240,246,254,252,238,211,204,211,194,195,174,173,165,163,162,203,149,211,160,185,236,238,239,241,240,236,233,246,255,255,255,248,235,223,223,212,163,162,196,179,173,159,156,160,146,177,144,222,238,241,243,242,255,250,236,240,249,247,241,237,236,236,227,204,182,172,195,191,182,184,165,135,139,181,158,224,239,243,240,255,255,255,245,235,241,245,242,241,239,233,230,201,183,173,162,150,147,144,131,124,114,129,162,210,241,243,243,255,255,255,226,215,228,244,243,239,227,210,195,170,156,144,136,143,150,160,158,167,181,190,218,227,246,243,255,255,255,250,210,212,226,213,206,195,180,170,154,137,132,213,240,230,235,238,235,237,233,233,214,147,248,243,255,255,255,244,230,225,208,196,201,205,199,192,186,195,167,124,218,244,236,234,232,230,228,225,228,154,244,254,255,255,255,255,255,235,207,214,215,213,200,187,184,178,160,87,72,225,242,236,234,233,230,228,229,210,239,255,255,255,255,255,255,229,187,203,201,195,185,177,168,155,134,99,51,190,251,236,236,234,232,230,228,228,255,255,255,255,255,255,255,217,195,178,150,131,144,163,175,184,187,110,87,226,242,238,239,237,235,232,230,227,255,255,255,255,255,255,250,227,205,182,158,157,197,220,203,188,204,140,217,249,240,240,241,238,235,234,230,228,255,255,255,255,255,255,239,212,210,213,186,197,212,197,183,173,167,124,236,249,243,243,241,239,236,234,233,230,255,255,255,255,255,238,208,217,238,224,195,194,190,180,172,163,129,114,247,248,246,244,241,241,239,236,234,232,255,255,255,255,248,230,235,255,251,229,201,169,151,134,118,102,104,197,255,246,249,246,243,241,240,238,235,232,255,255,255,255,249,251,254,247,236,207,171,133,131,149,112,169,229,255,250,250,249,248,245,242,239,238,235,233,255,255,255,255,255,255,238,224,220,196,160,133,225,255,250,255,255,253,253,250,249,248,247,244,240,239,237,236,255,255,255,254,249,247,228,223,210,167,124,226,255,255,255,255,254,255,254,252,249,248,248,246,243,241,238,235,252,248,254,246,234,229,222,204,165,116,210,255,255,255,255,255,255,255,255,253,253,250,248,246,244,240,240,229,251,244,239,225,213,210,195,163,112,195,255,255,255,255,255,255,255,255,253,250,249,249,248,246,243,247,241,216,246,235,220,198,189,178,145,114,197,255,255,255,255,255,255,255,255,255,252,251,250,248,248,243,245,219,211,230,220,204,182,162,149,130,109,200,255,255,255,255,255,255,255,255,255,254,253,252,251,249,247,246,235,108,82,163
12,49,53,57,63,75,86,91,97,101,106,106,109,111,113,116,118,121,122,123,124,125,127,128,128,129,129,129,129,50,54,59,63,76,88,92,98,103,106,107,110,112,115,117,118,121,123,125,124,127,128,129,129,130,130,131,131,51,54,60,64,77,88,94,100,104,106,108,111,114,115,119,123,121,125,120,128,128,130,130,130,131,133,133,133,51,56,61,67,80,89,95,100,104,107,111,112,113,127,99,98,131,134,89,85,133,127,133,134,132,135,134,134,52,56,62,68,82,90,96,100,105,109,113,107,133,145,107,76,113,137,100,62,90,98,84,128,137,134,135,135,53,57,63,69,82,92,97,102,106,111,114,108,154,153,118,89,96,138,112,85,60,96,67,84,139,136,137,137,53,58,64,70,84,93,98,103,107,111,114,115,156,168,134,93,93,143,111,86,54,89,87,55,123,141,136,137,53,60,65,73,86,94,99,105,109,113,109,123,143,153,146,94,84,149,112,80,50,88,82,56,126,141,139,139,55,60,66,74,87,94,101,105,108,105,116,129,132,121,126,85,66,122,103,71,51,90,75,64,136,142,140,140,55,60,66,75,88,94,100,106,108,146,162,107,69,74,108,71,53,96,77,59,55,85,66,79,147,140,141,141,56,61,66,77,90,95,102,100,132,179,137,93,74,50,95,81,50,83,79,60,56,79,61,88,149,141,142,142,56,62,67,78,89,95,104,103,153,130,121,102,87,53,79,108,52,82,109,69,65,108,75,95,152,141,143,144,57,62,68,79,90,96,101,111,154,112,105,114,90,68,35,58,30,53,89,62,70,114,85,51,114,150,143,145,57,63,69,81,92,98,98,119,153,118,92,107,84,74,31,19,46,74,74,73,98,86,65,55,72,149,145,146,58,64,69,82,92,97,99,121,165,128,101,84,74,60,26,38,86,120,124,117,110,88,83,71,82,150,145,146,60,64,71,85,93,99,99,127,165,129,113,82,60,61,49,76,121,139,136,123,107,85,78,63,110,152,145,147,60,64,71,86,94,100,99,130,161,135,117,89,76,95,90,124,145,145,137,116,96,83,68,63,135,149,147,147,61,65,72,86,92,101,102,125,154,130,112,91,91,96,95,142,142,143,135,105,88,80,61,86,152,146,148,148,60,65,73,87,92,100,105,118,150,126,110,97,93,86,103,134,135,140,121,97,82,75,61,124,152,146,148,148,60,65,75,88,94,101,107,113,146,124,114,109,97,98,119,131,136,129,108,91,78,65,77,149,148,148,148,149,62,66,75,89,95,103,107,109,135,129,122,119,107,101,119,126,125,109,91,80,74,60,109,154,148,149,150,151,62,66,77,90,96,102,108,108,126,137,121,114,103,91,96,111,109,95,80,74,67,75,144,149,148,149,151,151,63,66,78,89,94,102,107,111,121,144,116,107,96,85,86,93,89,82,73,73,60,115,153,147,150,151,151,151,63,66,79,91,95,103,107,112,116,147,129,106,88,82,90,87,88,83,72,65,79,148,146,149,151,152,151,152,63,67,80,91,96,103,108,114,115,146,142,112,99,98,101,86,88,83,70,55,112,153,147,151,152,152,153,153,63,69,81,90,96,103,109,111,126,158,152,119,111,105,102,84,80,73,66,47,121,154,149,151,152,152,153,153,63,68,82,91,97,105,106,128,152,141,167,126,118,104,98,83,72,65,63,45,123,154,147,152,152,152,154,154,64,68,83,92,98,105,108,156,164,123,141,127,117,101,94,78,64,64,62,48,131,153,149,152,152,153,154,154
4,186,187,186,187,186,185,185,183,183,181,182,180,180,179,180,179,172,172,171,170,170,170,169,169,166,162,162,160,188,187,188,188,188,186,186,187,186,187,186,185,182,178,165,166,181,174,172,172,171,170,169,170,167,163,162,161,190,190,189,189,189,188,187,187,184,163,150,164,180,173,133,95,126,186,176,174,179,172,170,169,168,166,163,162,192,192,190,189,189,191,189,191,189,174,163,134,123,131,154,129,83,133,142,109,121,172,173,171,169,168,166,163,193,192,191,191,191,192,190,183,185,178,175,170,137,90,90,137,121,77,73,95,53,120,184,169,170,169,168,166,194,193,192,193,193,192,179,167,166,149,100,101,147,88,42,106,117,79,42,86,72,70,179,172,170,169,166,165,194,194,195,194,194,193,190,192,171,151,102,53,116,92,42,77,97,58,50,101,88,53,161,176,169,169,168,166,195,196,195,196,194,196,167,139,123,161,115,61,91,119,86,74,86,40,62,106,84,53,161,177,170,169,168,167,197,197,196,197,195,199,179,117,55,117,156,101,100,132,148,124,94,88,85,97,110,70,162,177,172,170,169,168,197,198,197,198,196,199,178,121,44,24,152,124,85,104,134,139,94,102,101,96,118,61,117,188,172,172,170,169,198,200,199,199,197,197,150,99,79,68,62,82,62,55,60,107,102,94,93,92,87,66,70,183,174,173,171,171,201,200,200,200,197,194,166,152,123,87,49,41,62,54,51,55,88,95,83,74,88,90,48,158,181,174,171,170,201,201,200,200,200,195,173,156,116,77,49,52,57,62,82,64,46,38,78,110,122,103,49,115,188,172,171,169,201,202,202,201,201,196,183,143,100,67,48,50,63,86,87,85,78,84,108,140,129,109,76,74,186,173,173,171,201,203,203,203,199,199,172,134,102,66,50,61,75,89,103,101,125,156,143,115,156,140,102,52,165,180,175,173,203,203,203,204,200,199,183,157,119,80,59,64,73,105,121,124,140,158,168,151,141,140,103,41,144,185,174,173,204,204,204,205,203,197,183,158,126,87,56,60,85,110,126,144,150,166,163,152,134,106,85,37,152,184,174,174,204,204,204,204,205,193,180,169,140,103,70,64,73,109,136,152,165,172,160,136,121,94,52,60,184,179,176,174,204,204,204,205,205,189,173,175,151,118,89,68,65,114,151,164,178,173,153,126,108,82,28,125,190,177,176,175,204,204,204,204,204,188,167,171,152,123,98,78,69,114,162,168,174,162,140,115,96,62,47,182,182,180,178,176,204,205,206,205,207,187,165,161,151,131,105,85,81,119,169,162,158,148,125,102,86,38,111,197,179,180,177,175,205,205,208,206,209,188,161,159,160,140,109,100,90,124,162,156,149,132,110,92,68,41,173,188,182,179,178,176,205,206,207,206,207,197,165,163,162,145,117,109,89,127,153,149,143,119,93,80,33,97,200,184,185,180,179,178,207,208,207,207,208,207,176,168,170,150,127,109,87,119,148,139,129,103,80,55,39,178,191,186,186,181,180,178,207,208,207,208,208,207,183,180,171,148,133,114,91,103,131,122,105,81,65,23,133,201,187,186,185,183,180,178,208,208,208,209,209,205,192,184,167,150,136,118,98,96,111,104,83,67,28,84,200,188,188,185,184,184,181,179,208,208,208,208,210,205,193,183,163,147,132,117,109,97,96,94,75,47,35,182,194,189,188,186,184,183,181,179,208,208,208,208,210,199,190,178,165,154,147,136,127,106,90,87,67,27,106,205,191,192,188,186,185,183,181,179
11,194,196,199,200,201,202,203,205,205,206,206,206,205,208,208,209,207,206,207,207,205,205,205,205,203,201,200,200,195,199,200,200,202,204,206,206,207,207,207,209,212,203,211,211,210,209,209,209,207,207,206,206,206,205,202,202,199,200,202,204,204,206,207,209,209,211,208,218,226,161,210,213,211,210,211,211,211,209,209,208,208,207,205,204,200,201,204,206,207,207,209,212,211,213,207,232,225,143,206,213,212,212,213,213,213,212,212,211,210,208,207,206,201,203,206,207,208,209,210,213,213,213,210,255,207,142,213,214,214,214,213,214,214,213,213,212,211,210,209,207,204,206,207,209,209,211,212,214,216,210,227,255,173,154,221,213,215,215,216,215,215,214,214,214,212,211,212,210,205,207,208,210,212,213,213,215,217,209,251,255,153,185,223,216,217,218,219,217,216,216,216,216,214,213,212,211,207,209,211,213,214,214,214,217,213,225,255,227,143,205,222,219,219,219,220,218,217,218,219,217,215,215,214,213,208,211,212,213,215,216,218,218,218,255,255,185,147,224,221,221,221,221,221,221,220,220,219,218,218,216,215,215,209,211,213,215,216,218,219,215,236,255,247,145,173,230,220,221,222,223,222,222,221,221,221,220,220,219,217,216,212,214,215,216,218,219,221,217,250,255,228,127,207,229,222,223,221,223,223,223,223,222,221,220,220,219,219,218,213,214,217,218,220,222,222,226,255,255,210,182,240,202,221,226,223,224,225,226,226,224,222,223,221,220,220,219,214,216,218,219,222,222,216,243,255,255,255,255,225,152,200,231,224,226,227,226,227,226,225,224,222,221,221,221,214,217,220,220,218,223,234,255,255,255,255,214,156,140,185,233,225,227,228,228,227,227,225,225,225,224,222,221,215,217,220,222,244,255,255,255,255,252,235,196,139,136,168,233,226,228,229,229,229,228,227,226,227,227,223,222,216,220,217,245,255,255,255,255,255,224,152,163,142,144,152,229,230,230,230,230,230,229,228,228,227,227,225,223,218,220,223,255,255,255,255,255,255,203,145,142,144,144,148,223,233,230,232,230,230,230,230,230,228,227,227,226,221,218,239,255,255,255,255,243,209,212,167,140,138,145,149,223,233,232,234,232,230,231,230,231,229,229,228,228,223,219,254,255,255,250,216,176,151,222,191,147,132,133,161,232,233,231,233,233,232,232,232,231,231,229,228,228,221,228,255,255,253,202,157,118,100,224,204,143,143,191,224,237,240,240,240,236,235,239,235,232,232,229,230,229,219,244,255,255,233,189,152,108,163,225,154,117,153,231,238,230,217,194,173,163,163,178,224,238,232,232,231,232,222,255,255,255,214,167,133,105,150,160,99,106,101,116,145,149,149,146,143,150,147,134,142,215,238,233,233,232,236,255,255,238,183,141,118,108,106,109,107,111,116,111,120,143,159,170,164,162,153,142,119,153,242,229,232,232,255,255,255,214,170,138,111,106,106,110,117,123,129,133,151,164,165,163,166,173,193,200,176,192,239,231,231,231,255,255,247,199,162,131,104,106,115,130,140,142,145,150,163,158,179,211,232,239,242,243,244,240,234,234,244,193,255,255,230,186,155,126,105,124,141,152,159,158,154,143,159,204,243,244,242,239,238,238,236,237,243,232,188,133,255,254,212,175,147,125,114,145,159,159,158,164,144,183,233,244,240,239,241,240,239,240,239,244,215,152,122,115,255,237,193,164,145,126,120,147,155,156,157,146,180,249,241,240,241,241,241,242,242,241,244,213,141,128,121,111
7,176,182,188,195,199,202,205,208,210,213,215,215,215,215,215,215,215,215,214,213,212,212,210,209,208,206,205,204,178,185,190,196,200,202,207,210,211,213,217,217,220,219,218,218,219,217,215,215,214,213,213,212,210,207,207,206,179,186,193,199,202,206,209,212,215,215,217,219,221,220,220,220,219,219,217,217,217,216,214,212,211,210,210,209,182,189,194,201,205,208,211,215,217,218,220,222,222,223,223,223,222,221,221,218,219,219,216,214,215,212,211,210,184,192,196,202,207,209,214,218,218,221,223,224,225,225,224,224,226,226,226,222,217,216,216,219,216,214,214,212,186,192,197,204,208,213,214,217,218,223,224,226,230,231,230,225,221,213,210,184,207,244,188,215,221,218,215,213,189,194,201,206,211,214,217,221,222,224,226,226,219,208,201,204,200,185,186,169,195,219,153,209,218,216,220,216,190,195,203,209,212,215,218,221,220,220,212,198,180,154,170,189,194,166,151,140,132,155,161,230,244,159,218,219,193,199,206,211,215,217,213,188,182,183,183,182,171,159,139,145,128,129,159,162,160,169,185,216,209,132,217,222,193,199,206,212,218,225,204,182,183,174,161,164,168,151,134,128,150,189,213,191,175,166,144,122,141,193,226,220,194,200,206,214,229,216,195,191,182,147,147,175,191,169,161,150,149,169,175,150,123,108,128,170,212,231,225,224,195,201,213,222,209,204,204,199,158,109,134,152,156,141,138,136,111,118,106,113,146,192,232,238,232,226,226,225,196,210,221,214,210,207,194,198,170,119,115,97,84,73,75,86,100,135,186,222,242,241,233,231,229,229,227,226,215,222,218,219,215,195,189,186,189,162,105,74,45,108,178,186,217,242,247,240,235,233,236,236,233,231,231,229,226,220,214,209,198,191,191,192,189,159,114,84,75,104,212,255,244,242,240,239,238,237,235,235,235,234,233,232,226,216,201,194,187,182,174,169,160,135,106,76,83,77,56,177,253,241,243,241,241,240,238,236,235,235,234,234,217,201,191,182,174,167,161,153,149,137,104,66,71,99,76,89,251,244,245,243,242,242,241,239,237,236,235,234,207,202,182,177,166,162,161,158,159,157,111,67,59,85,80,100,255,245,245,245,244,243,242,242,240,237,235,234,105,177,180,174,167,163,157,157,158,146,104,74,73,52,57,65,197,255,243,245,245,244,243,243,242,239,236,234,30,56,146,183,174,167,156,145,132,111,92,87,84,68,55,47,169,255,244,248,247,245,244,243,242,241,239,238,41,25,33,136,182,164,152,138,125,105,93,85,90,70,92,142,237,254,250,251,249,248,246,244,243,243,241,239,33,31,23,29,133,145,125,109,104,80,58,75,79,80,234,255,253,253,253,251,250,248,246,245,244,242,242,240,28,25,23,16,37,88,86,92,77,40,40,57,94,215,255,249,253,254,253,251,250,249,248,247,245,244,243,241,22,18,16,21,13,0,26,213,172,68,105,157,238,255,253,255,254,255,254,252,251,251,250,247,246,245,244,242,5,11,14,21,16,8,190,255,251,244,252,255,255,255,255,255,255,255,255,254,253,253,252,249,248,247,244,243,52,11,9,27,11,175,255,241,249,255,254,253,255,255,255,255,255,255,255,255,255,252,252,250,250,248,245,244,38,46,22,7,68,255,237,245,249,250,253,255,255,255,255,255,255,255,255,254,254,252,252,250,249,247,245,244,0,26,23,0,103,255,237,245,247,249,252,254,255,254,254,255,255,255,254,254,253,252,251,251,247,244,245,245
18,147,149,150,152,153,155,155,155,157,157,157,158,157,156,155,156,155,155,154,153,154,153,153,153,151,150,150,148,149,150,152,153,154,156,157,157,159,158,159,160,160,159,157,158,157,156,155,156,157,155,154,152,153,153,152,151,152,153,154,155,157,158,158,159,158,159,159,160,159,159,159,159,159,158,157,157,157,156,156,155,155,154,153,152,153,154,156,158,159,159,160,159,160,160,160,160,161,161,160,160,160,160,159,159,158,158,159,155,156,154,154,153,153,154,157,158,160,160,160,160,160,161,161,162,162,162,162,162,161,161,161,159,159,157,153,158,157,157,155,155,154,155,158,159,160,161,162,161,162,163,163,163,164,163,164,163,162,160,161,157,179,143,111,164,158,158,157,156,156,159,159,160,161,161,164,164,164,165,165,164,164,164,164,164,167,166,162,164,195,144,73,155,161,159,158,157,157,160,161,161,162,164,165,166,166,166,166,166,166,165,169,152,124,147,137,129,193,164,82,112,171,158,160,160,158,160,161,163,164,166,167,167,167,168,168,168,167,168,184,169,124,101,111,129,193,174,113,63,143,168,158,161,159,161,163,165,165,167,167,168,169,170,170,168,172,159,122,147,158,117,86,112,173,173,128,96,82,149,166,160,160,162,164,166,166,167,168,171,171,170,169,179,177,155,119,74,136,131,89,67,100,149,139,115,88,81,168,162,161,164,165,167,168,169,170,171,172,168,187,195,192,161,135,91,88,131,86,58,50,108,158,118,99,64,159,166,163,165,166,167,169,171,170,172,171,175,194,176,199,166,139,103,62,86,74,54,39,130,167,137,103,70,161,166,165,165,167,169,172,172,172,174,170,196,195,157,179,156,145,101,62,63,66,54,40,107,165,150,106,66,158,168,165,166,168,170,172,172,174,172,186,194,179,161,169,130,112,84,60,79,59,41,41,109,157,153,110,65,159,170,166,168,170,171,172,174,172,177,203,184,151,130,157,92,80,71,73,96,56,74,94,123,158,141,102,62,158,173,167,170,170,171,173,174,174,179,209,195,170,129,109,105,98,38,72,103,128,153,156,121,126,121,100,58,149,174,168,170,171,173,175,177,174,186,209,197,181,140,99,112,91,18,117,177,178,157,143,129,92,106,102,59,138,178,169,171,172,174,176,179,175,197,208,195,163,132,120,110,76,93,196,185,173,153,123,124,97,88,95,55,149,179,171,172,174,175,177,178,178,201,206,187,151,142,119,90,95,177,188,179,164,147,124,112,102,81,72,76,175,172,171,172,173,176,177,177,182,203,205,182,153,148,118,94,149,192,182,171,159,144,120,106,96,79,53,133,181,170,172,172,173,176,177,178,184,203,201,183,158,163,115,134,161,183,178,162,155,140,109,99,88,66,65,175,175,174,173,173,175,177,178,178,185,201,196,182,171,157,120,122,161,165,170,153,146,126,102,90,82,49,116,187,174,176,173,174,175,177,179,178,184,200,195,185,177,142,112,110,148,154,152,147,136,115,96,82,64,61,173,178,177,177,173,174,176,178,179,179,188,196,192,189,163,120,95,123,136,149,145,135,124,102,84,70,42,133,187,176,179,178,174,176,178,176,180,180,192,190,180,174,145,118,114,132,137,145,141,126,112,91,75,44,98,186,176,178,179,178,175,176,179,179,180,179,199,198,196,183,172,156,140,124,136,145,132,111,94,83,52,79,182,180,179,179,179,178,173,178,173,166,181,184,205,198,197,186,169,153,138,115,125,139,118,98,87,65,62,168,185,181,180,179,180,179
1,135,111,96,88,91,83,29,88,115,132,146,154,165,172,174,177,183,187,190,192,196,199,201,203,205,207,207,208,138,108,101,87,99,73,35,96,119,130,164,171,129,169,178,183,185,190,192,195,198,201,203,206,208,209,209,210,138,107,108,87,108,63,42,100,120,137,174,195,108,140,169,157,191,192,195,198,200,203,207,210,211,212,213,212,138,107,112,86,115,53,53,99,148,183,131,197,132,134,180,108,173,198,198,200,202,206,210,212,213,213,214,214,138,110,114,88,119,44,62,100,160,194,122,192,151,134,197,115,136,205,198,203,206,211,212,214,215,216,216,216,134,110,115,90,122,36,71,105,157,204,130,181,173,132,200,146,115,201,201,205,210,212,214,216,218,218,218,218,131,115,114,95,120,32,79,104,154,210,128,184,207,143,179,168,108,185,207,208,211,213,216,218,220,219,220,220,129,120,112,102,112,29,88,135,145,218,149,178,214,146,179,200,119,158,214,208,212,215,218,219,220,221,222,222,126,125,108,109,105,22,127,191,132,222,170,159,205,150,176,212,139,133,214,208,213,216,220,222,223,223,223,224,124,127,105,119,95,24,140,185,125,212,174,145,203,159,155,206,154,125,211,212,215,217,221,222,224,224,225,225,123,131,100,126,83,32,138,188,118,200,183,132,209,177,142,210,167,121,205,215,216,220,222,223,224,226,227,227,125,134,97,133,70,37,136,202,121,197,200,121,194,192,136,215,177,118,194,218,217,220,223,224,225,228,228,228,127,136,97,140,59,45,131,220,136,173,213,126,148,194,112,186,187,113,182,222,218,222,224,225,226,228,229,229,132,138,98,144,48,55,119,207,138,144,214,130,133,187,130,185,190,114,158,226,217,222,224,225,226,228,229,228,136,135,101,143,39,65,110,198,164,127,192,168,168,171,186,195,154,112,131,224,218,222,224,226,227,227,228,228,139,133,106,138,31,73,104,201,178,122,183,192,163,147,174,189,136,96,110,213,221,222,225,226,228,228,228,229,142,129,112,134,27,79,103,195,170,177,183,184,190,171,212,222,152,93,82,193,225,221,226,227,229,230,231,230,148,127,119,127,25,85,103,196,197,199,163,169,179,179,210,205,160,119,75,163,231,221,226,228,230,230,231,231,154,124,131,124,25,88,106,211,210,175,151,143,157,167,174,183,186,151,93,123,228,224,228,229,230,230,231,232,160,122,140,114,25,89,102,200,202,159,135,151,159,177,207,202,205,185,133,101,213,225,225,226,228,228,229,230,163,117,149,100,28,89,94,176,200,153,134,155,161,186,224,222,211,202,158,109,205,222,221,222,225,227,226,224,162,113,158,86,27,87,94,142,203,166,142,143,170,187,221,233,206,189,147,116,208,219,220,222,224,224,231,255,161,111,163,74,42,91,96,114,188,176,153,140,167,185,218,229,202,175,133,104,207,219,220,223,226,221,233,255,160,115,156,129,106,124,131,129,170,192,168,147,153,179,211,220,196,169,127,102,189,198,200,202,201,204,192,195,158,115,159,137,74,82,85,83,101,185,175,163,151,167,204,208,180,160,121,97,111,112,116,110,141,198,196,187,154,119,164,130,79,86,88,92,87,128,182,171,163,158,182,194,167,148,114,97,111,113,109,114,193,201,192,181,149,121,165,127,79,86,88,88,92,87,151,178,170,155,151,169,153,130,107,101,109,110,102,161,213,197,189,179,142,116,166,121,75,84,85,87,91,85,111,180,162,144,137,141,135,121,97,102,107,105,111,200,206,193,182,176
13,197,198,199,199,199,199,199,200,199,199,200,201,201,201,202,203,202,202,202,201,200,200,200,200,199,198,196,197,198,199,199,199,199,200,201,200,199,201,203,201,200,200,197,197,204,204,203,202,200,200,202,201,200,199,197,198,199,200,200,200,201,201,200,200,201,202,201,203,215,217,197,163,156,185,186,200,202,203,203,203,201,201,199,199,199,200,201,200,201,201,201,201,201,201,201,221,232,231,216,168,124,99,130,135,203,203,203,202,201,202,199,200,200,201,201,201,201,201,202,202,200,201,201,192,196,220,222,180,129,85,110,92,172,207,202,203,202,202,202,202,200,200,201,202,202,202,202,204,202,172,188,187,169,187,212,194,142,92,122,131,152,210,204,204,203,203,203,203,200,200,202,203,203,203,201,220,219,163,163,186,193,201,197,197,166,94,121,127,145,211,206,204,205,204,203,203,201,201,202,203,203,203,202,232,221,186,160,131,166,193,190,159,122,81,74,129,191,208,207,205,205,205,204,204,200,202,202,203,202,212,171,155,200,210,186,124,71,144,187,164,140,117,96,113,210,208,207,206,205,205,206,204,200,201,201,197,216,220,153,110,129,218,203,153,68,59,111,146,172,184,156,106,149,214,207,206,206,205,205,203,200,200,200,216,225,200,148,124,87,194,213,162,115,55,58,81,194,211,195,154,102,175,212,205,205,205,204,202,201,200,211,224,192,188,161,144,85,142,218,177,151,82,62,61,150,221,212,174,129,108,200,206,204,205,204,203,202,203,218,192,157,180,173,155,104,72,195,204,175,123,56,91,165,212,212,176,147,106,164,211,205,205,205,205,201,208,223,203,168,167,185,158,139,82,94,205,193,161,107,127,219,207,194,165,147,107,159,213,207,207,207,206,201,208,217,202,180,152,170,176,173,131,54,115,203,193,180,149,213,199,176,141,120,94,176,212,208,206,206,206,202,207,220,217,198,174,145,164,182,157,131,65,168,193,184,196,203,185,164,133,100,92,198,210,208,207,207,206,192,192,221,227,213,189,172,160,164,162,174,114,196,217,212,212,196,176,155,125,95,114,213,212,211,210,209,207,117,115,209,229,221,200,183,178,179,161,137,154,215,228,227,205,190,173,147,115,92,131,193,192,194,194,196,196,99,86,176,231,223,210,194,184,187,185,157,152,203,227,223,204,177,158,138,108,95,101,108,110,110,112,113,115,103,96,133,224,218,215,209,196,189,187,174,143,169,218,214,197,173,144,122,102,94,100,97,92,92,104,132,158,103,103,101,197,209,211,213,209,197,186,173,156,142,198,200,182,163,135,113,99,90,106,122,143,172,195,206,198,102,105,98,138,210,206,212,216,201,187,171,156,144,164,184,167,142,127,110,91,98,167,205,212,208,203,207,201,103,103,104,96,174,210,210,208,192,179,165,152,141,141,159,159,143,123,103,81,154,231,218,203,194,180,181,190,104,103,104,98,111,206,205,189,176,167,158,148,128,124,145,162,149,114,93,85,209,223,211,195,170,151,147,162,103,103,101,102,93,178,211,181,160,161,156,145,126,111,148,172,138,101,81,131,235,218,214,195,150,122,140,152,104,104,101,104,96,145,213,188,175,174,160,141,126,111,152,170,119,95,77,195,227,212,225,207,155,108,125,151,103,104,100,103,97,128,216,199,188,187,168,148,136,113,149,158,112,89,95,224,210,204,226,225,174,113,108,141,104,105,101,103,97,126,209,207,200,193,171,158,145,108,143,152,111,80,123,226,208,200,217,233,192,123,98,121
12,80,92,101,107,109,115,121,127,129,132,135,139,142,145,148,150,152,153,155,157,158,159,159,160,161,162,163,163,83,94,103,108,111,117,124,129,131,134,137,140,144,147,150,152,154,160,160,158,158,161,162,162,164,165,164,164,85,96,106,109,112,119,126,131,133,136,140,143,146,149,151,154,155,140,148,165,160,162,165,169,164,166,166,166,86,98,108,110,114,121,127,132,134,138,142,145,148,153,156,161,165,109,82,141,171,139,104,142,172,165,168,167,88,99,108,112,115,123,128,133,137,140,143,147,151,141,123,169,170,118,85,79,125,132,88,73,156,172,168,169,89,101,110,113,117,125,131,134,139,142,144,146,169,134,85,93,162,140,106,74,76,133,109,68,113,181,168,170,91,103,112,115,119,126,132,136,140,145,144,158,178,135,103,70,137,164,117,92,70,123,123,84,94,181,171,173,93,104,113,116,121,127,133,137,142,145,148,170,166,157,124,98,107,173,136,97,64,99,123,90,83,178,173,174,95,106,115,117,122,130,134,139,144,144,158,159,139,173,146,112,80,147,154,100,64,71,107,88,71,174,176,176,97,108,115,118,124,132,136,140,142,144,179,130,123,169,156,112,78,108,156,98,67,56,97,77,65,174,178,178,98,110,117,120,125,132,137,140,131,126,148,125,112,144,152,121,86,73,135,94,67,53,84,74,69,176,179,178,99,110,117,120,126,131,146,159,148,144,142,118,78,65,139,118,76,50,111,99,68,52,77,75,75,180,179,179,101,111,118,120,127,130,154,177,169,172,162,98,68,28,99,97,63,40,82,113,96,56,89,89,87,188,178,181,103,113,118,122,129,130,161,173,141,143,130,77,68,35,58,84,72,31,56,141,113,65,92,104,63,160,186,180,104,115,119,123,130,132,157,158,128,107,124,97,74,43,31,85,79,43,78,136,120,71,73,96,47,122,192,180,105,115,120,124,130,135,150,138,112,82,107,122,71,53,30,60,62,79,132,129,112,70,60,71,56,141,190,181,105,115,121,123,130,134,149,155,131,101,84,122,74,60,44,49,80,125,141,132,116,94,76,66,79,178,186,189,106,115,119,122,129,134,153,157,130,108,87,103,82,61,48,57,114,138,140,139,130,106,84,56,126,198,180,164,107,116,119,122,131,135,154,153,141,131,93,80,95,82,66,73,143,145,144,149,126,99,76,70,175,161,151,120,107,116,120,123,131,136,152,152,148,137,89,89,114,100,76,89,154,152,156,143,107,90,69,96,170,94,99,148,107,116,120,124,131,137,148,147,143,141,90,102,114,94,98,136,160,159,152,123,93,81,67,92,94,107,84,97,107,116,120,124,131,137,143,139,143,135,99,107,115,98,127,145,161,153,136,106,81,70,82,129,92,119,92,85,107,116,119,124,132,139,145,145,149,132,104,110,115,96,128,133,150,143,123,93,75,60,109,157,103,77,122,158,88,92,95,97,101,105,107,124,144,130,112,115,112,98,121,135,134,128,102,78,63,86,96,100,102,92,129,120,84,85,85,86,88,87,82,94,145,131,117,114,107,103,109,128,122,98,79,67,66,97,152,121,114,120,95,115,88,87,90,91,92,93,95,91,142,147,126,111,108,107,106,118,110,82,68,69,131,147,188,168,169,137,117,157,88,89,89,90,91,91,93,90,129,138,123,107,102,98,99,107,95,76,55,93,186,162,141,143,149,124,98,107,88,89,90,92,93,92,94,91,132,135,95,85,84,86,93,93,78,67,51,85,181,149,148,161,182,155,113,92
1,104,87,75,69,70,61,29,66,90,103,116,123,127,135,138,141,144,148,150,152,155,157,159,161,162,164,164,164,106,86,78,70,74,55,33,71,92,105,127,132,107,130,139,143,147,150,152,154,157,159,160,163,165,166,166,166,107,85,82,70,79,49,38,75,95,112,133,145,96,112,131,126,147,152,154,157,158,161,164,166,167,167,168,168,107,86,85,70,84,44,44,78,114,138,112,146,109,108,134,97,134,154,156,158,160,163,166,168,168,169,169,169,106,88,87,72,87,38,49,80,123,146,106,145,120,110,145,99,111,156,158,160,163,166,168,169,170,171,171,171,104,88,88,73,88,34,54,83,123,152,111,141,134,111,149,116,98,153,160,162,166,168,169,171,172,172,172,173,102,91,89,76,87,32,60,86,121,157,112,143,154,120,140,129,94,143,162,165,167,168,171,172,174,173,174,174,101,94,88,80,82,30,69,106,117,163,125,140,160,124,140,149,103,126,164,166,168,170,173,174,174,175,175,175,99,96,87,84,76,30,94,139,113,165,137,128,155,126,138,158,115,110,163,166,168,171,174,175,176,176,176,177,98,97,85,89,70,32,103,139,108,160,139,119,154,130,125,156,124,104,161,168,170,172,175,176,177,177,178,178,98,99,83,94,63,36,103,141,104,153,142,111,158,140,118,159,132,102,158,169,171,174,176,177,177,179,180,180,99,102,81,98,55,39,103,150,107,151,151,106,148,146,113,161,138,100,151,170,172,174,176,177,178,180,181,181,101,104,81,102,48,43,101,160,116,136,157,108,121,143,101,145,141,98,142,172,173,175,177,178,179,180,181,181,104,106,82,104,42,47,94,154,117,117,157,111,111,139,112,144,141,98,126,173,173,175,177,178,179,181,181,181,106,105,83,103,37,52,88,150,129,106,147,133,130,134,142,150,121,92,107,170,174,175,177,179,180,180,181,180,108,104,86,100,32,56,85,151,138,106,142,148,130,122,140,147,110,80,90,162,175,176,178,179,180,181,181,181,110,102,89,97,30,59,85,147,138,138,142,146,145,138,163,167,120,77,72,147,175,176,178,180,181,182,182,182,113,102,94,93,28,62,85,151,154,152,131,133,139,142,162,159,127,92,69,127,176,177,179,181,182,182,183,183,117,101,101,91,28,64,87,159,162,139,120,116,125,133,142,146,144,117,80,101,172,178,180,181,182,182,183,183,121,100,107,85,29,65,85,152,156,127,109,118,126,140,161,161,160,142,105,89,163,177,178,179,180,181,181,182,123,97,112,76,29,64,79,135,153,124,108,120,128,147,173,175,167,155,122,94,158,174,176,176,178,179,180,180,123,95,117,67,30,63,77,112,153,132,113,114,133,148,173,182,164,148,117,97,159,173,175,176,178,178,183,202,123,93,119,63,40,68,77,94,143,138,121,113,130,147,171,178,160,138,106,90,157,171,173,175,176,175,183,208,123,94,120,98,80,92,98,101,130,146,132,118,122,142,165,172,154,132,101,86,141,152,154,156,157,161,156,159,122,95,121,105,63,66,68,69,85,138,138,128,121,134,158,162,143,124,96,78,90,93,95,95,119,153,154,148,120,97,123,102,64,66,68,70,72,102,137,135,128,126,142,150,132,115,90,78,86,87,86,96,146,157,152,144,117,98,123,100,64,66,68,69,70,74,117,137,133,122,122,131,120,102,84,80,84,85,85,126,162,157,149,142,112,95,123,96,62,64,66,67,69,69,92,137,129,114,110,112,107,95,78,80,83,83,91,151,161,153,144,139
5,171,172,172,172,173,173,172,172,172,171,171,171,171,170,169,168,167,165,164,163,163,162,162,160,159,159,158,158,175,175,175,175,175,175,174,175,176,174,173,173,172,171,171,170,170,168,167,165,166,165,163,161,160,160,160,159,178,178,179,178,178,178,178,178,178,178,176,176,175,175,171,173,171,168,170,167,166,166,166,164,163,162,160,158,180,181,181,180,179,182,182,181,180,180,179,179,177,173,175,189,141,149,177,170,169,168,167,166,165,163,162,160,183,183,184,183,186,174,181,185,182,183,181,179,182,176,163,133,112,165,176,172,172,171,169,167,167,165,164,162,186,187,188,185,203,150,153,194,186,185,182,191,184,140,120,141,171,179,176,175,174,173,172,170,169,168,166,164,190,189,191,188,200,131,152,197,188,183,189,186,135,127,183,191,186,182,179,179,181,177,174,173,172,170,167,167,192,192,192,193,188,127,173,198,186,171,165,130,132,170,146,147,147,148,147,144,163,175,177,176,174,172,171,170,195,195,195,195,174,131,189,199,186,153,122,127,188,127,113,123,140,151,153,151,148,164,144,173,177,174,173,172,197,197,198,198,185,131,174,203,180,144,121,139,151,118,123,117,124,124,115,125,131,130,134,179,177,176,174,173,199,200,199,200,190,132,163,209,172,142,124,120,129,130,108,95,92,91,94,100,102,104,160,184,181,178,176,176,201,202,202,201,184,143,128,199,172,133,107,107,118,113,95,99,108,104,117,118,137,152,143,132,176,184,178,177,203,204,204,206,176,154,148,147,149,134,118,106,101,87,95,115,98,122,154,157,173,156,147,141,140,179,181,179,205,205,206,207,204,168,167,155,132,138,126,105,103,95,97,97,129,197,201,198,194,174,177,172,137,181,183,181,207,206,207,207,210,198,168,181,175,148,115,99,94,104,93,147,203,198,194,196,173,170,177,135,162,191,182,183,208,208,209,210,208,213,192,185,185,161,130,95,96,90,117,214,202,197,202,183,154,175,149,131,192,188,186,184,209,209,210,211,210,212,208,182,191,170,138,98,97,93,126,186,196,209,192,168,163,159,108,168,197,189,188,186,210,211,211,211,212,213,211,189,195,177,145,107,97,112,110,123,142,166,159,163,159,115,143,199,192,192,190,188,211,212,212,212,213,213,213,186,199,185,148,115,98,112,114,125,144,131,141,160,123,141,204,195,193,193,191,189,212,212,214,213,213,213,215,186,201,185,148,127,101,106,114,125,142,144,127,122,130,203,199,197,195,194,192,190,215,214,215,216,215,215,215,187,204,184,154,138,106,102,117,129,139,134,107,105,196,204,200,199,197,195,194,192,216,216,216,216,216,217,215,190,199,182,158,138,109,98,118,128,131,115,100,187,209,202,201,200,199,196,195,193,217,216,217,218,217,218,216,191,190,176,157,139,111,97,116,118,119,89,150,218,203,205,203,202,201,198,196,194,218,217,218,218,219,219,217,190,187,176,155,139,110,99,111,117,102,104,206,209,207,206,204,203,202,199,197,195,219,219,218,218,219,221,213,192,189,174,155,136,110,100,108,102,90,182,216,208,209,207,206,205,202,200,198,196,219,220,220,220,221,223,210,197,192,177,160,130,104,99,91,93,178,220,210,211,209,207,206,205,203,201,200,197,219,219,219,220,221,220,206,197,189,180,155,120,101,90,120,200,221,213,212,211,211,209,207,206,204,202,200,199,218,219,218,220,220,215,197,182,186,173,144,110,99,99,206,222,211,214,212,210,210,208,206,205,204,202,200,200
10,52,53,55,58,63,66,72,83,92,98,104,107,109,113,117,119,122,125,126,128,130,130,131,133,134,132,134,135,52,54,56,59,63,67,73,85,94,100,106,109,111,115,117,120,123,124,125,131,130,132,132,134,135,134,134,135,52,55,57,60,64,67,74,87,96,102,108,110,111,116,119,122,122,132,132,112,133,133,133,135,136,135,135,135,51,55,58,62,65,68,77,89,97,104,109,111,114,118,121,125,120,155,144,71,124,138,136,137,138,138,137,137,52,56,58,62,66,69,78,91,99,106,111,113,116,119,123,126,124,145,152,86,94,145,137,139,140,140,140,140,53,57,60,62,66,70,80,92,100,108,112,115,119,122,125,129,129,138,159,101,71,137,143,143,143,143,143,143,54,58,61,64,67,70,82,94,102,110,115,116,120,124,127,130,135,134,158,123,75,118,149,143,145,145,145,145,55,59,61,65,68,71,83,95,104,110,115,117,121,126,130,133,136,135,156,142,86,96,154,146,147,148,148,147,55,59,62,66,68,72,85,97,105,113,117,118,122,126,132,132,151,141,88,123,100,77,149,151,151,150,150,150,57,59,62,66,68,74,87,99,107,114,118,120,125,130,134,134,164,114,63,95,148,77,136,157,153,153,153,153,57,60,63,66,69,75,88,100,108,116,118,121,127,130,137,136,159,106,76,66,164,86,117,161,155,157,156,155,57,61,63,67,70,76,90,101,110,117,120,124,127,138,129,147,179,126,116,72,112,102,96,164,157,159,158,158,58,61,63,68,71,77,92,102,112,119,121,119,142,183,144,164,150,145,138,91,66,98,82,160,159,160,160,161,60,61,65,68,71,78,92,104,113,120,126,133,145,206,172,173,116,106,143,112,67,72,68,145,164,161,161,161,61,62,65,68,71,79,94,104,116,113,171,193,132,141,178,181,134,63,127,141,94,63,52,126,169,161,163,162,61,62,65,68,71,80,95,107,117,116,179,208,151,74,127,185,127,65,76,143,114,77,47,108,172,163,165,165,60,62,65,69,73,81,96,107,118,124,150,128,160,141,87,125,82,44,47,118,123,94,58,95,172,164,166,166,61,62,66,69,73,83,97,108,119,124,160,112,133,157,73,89,101,36,82,126,123,112,74,82,171,166,166,167,61,63,66,69,73,84,98,110,122,121,172,157,105,88,75,106,110,101,162,150,127,119,86,77,164,169,168,168,62,64,66,70,73,85,100,112,123,123,172,154,127,111,99,108,118,180,181,142,131,114,87,83,163,171,168,169,61,65,67,70,73,87,100,113,125,123,192,185,154,119,116,128,201,207,162,127,113,103,88,91,168,170,170,170,62,64,68,69,73,87,100,113,125,123,192,197,159,130,141,160,223,189,154,129,101,92,84,106,175,171,172,172,63,64,67,70,74,87,102,114,127,122,199,204,156,156,149,171,217,179,145,124,101,86,79,126,178,170,172,173,63,65,67,70,74,88,103,116,127,124,190,194,164,172,155,194,200,164,132,111,96,88,79,138,179,172,173,174,63,65,68,70,75,89,103,116,128,124,174,191,185,178,174,203,181,143,119,100,90,87,83,158,177,173,174,174,63,65,69,70,75,90,104,116,129,125,155,205,199,177,161,175,161,129,106,94,90,79,99,176,174,175,176,176,62,65,69,69,76,91,106,118,128,131,137,194,186,166,147,149,146,132,112,100,91,70,123,181,175,176,177,179,62,65,69,70,77,93,106,119,127,133,131,167,166,152,143,147,143,146,125,98,87,66,139,182,175,177,178,180
14,159,161,161,163,165,164,164,165,165,164,163,163,163,161,160,160,159,158,157,156,155,153,151,150,149,148,147,147,161,162,163,163,165,165,166,167,166,166,165,165,164,165,162,160,159,159,159,158,156,154,153,153,151,149,147,147,162,164,165,165,166,167,167,167,168,168,169,168,168,158,162,169,165,160,160,160,157,156,154,153,153,152,149,148,164,166,166,167,168,168,169,169,169,169,160,146,143,116,105,126,144,165,165,162,159,159,157,155,154,153,151,149,165,167,168,169,170,169,170,171,172,158,134,115,92,70,61,79,89,117,140,158,163,160,158,157,155,155,152,151,166,168,168,170,171,171,172,172,167,148,111,76,62,63,61,70,87,94,98,103,164,161,159,158,156,156,154,152,168,169,170,172,172,173,170,163,150,123,70,46,51,54,51,53,59,78,72,72,163,164,161,160,158,156,155,153,168,169,170,172,173,175,167,150,131,85,56,49,44,49,50,54,50,62,66,63,100,161,162,161,159,158,156,154,168,169,172,174,174,175,165,148,104,55,59,54,52,51,51,45,49,50,69,76,66,159,165,161,160,159,156,155,169,172,173,174,175,176,170,152,112,56,54,49,54,57,49,118,121,129,86,59,62,133,173,164,161,160,159,157,171,173,174,176,175,176,170,150,114,59,49,46,55,47,86,184,178,182,163,103,76,78,117,150,164,159,160,158,171,173,174,176,176,177,171,153,106,60,61,55,45,68,167,176,172,172,174,170,104,95,83,117,169,159,160,159,173,174,175,176,178,178,172,157,116,78,65,61,49,139,186,175,176,174,177,132,100,102,81,129,170,161,161,160,173,174,176,176,178,177,171,161,127,89,67,57,53,160,182,178,176,179,162,100,100,93,77,159,168,163,162,161,174,176,178,179,180,173,170,164,129,96,72,52,67,183,181,177,177,179,114,87,96,78,102,175,165,165,163,162,175,177,179,180,180,172,169,161,131,100,70,54,58,141,176,183,185,145,95,83,89,57,134,175,166,165,163,162,174,177,179,179,180,173,170,161,131,99,72,60,58,63,83,135,151,93,97,94,65,90,173,169,168,167,165,163,176,177,179,180,181,170,173,166,129,103,77,60,63,70,73,76,77,80,92,78,81,170,173,170,168,167,166,164,177,179,180,181,180,168,177,163,127,101,80,59,61,69,77,82,79,77,87,71,158,178,171,171,168,166,165,164,177,179,180,182,178,168,177,159,123,101,85,60,61,70,75,81,84,77,59,128,184,172,172,171,169,167,166,165,177,180,181,184,177,169,173,154,122,107,86,61,62,74,80,82,82,65,83,178,176,175,173,172,170,169,168,166,178,180,180,184,174,171,166,144,121,105,85,61,62,77,83,83,74,62,168,181,176,176,175,173,172,169,168,167,178,179,180,184,175,168,158,139,116,100,83,61,62,78,80,78,54,108,190,177,178,176,174,173,173,170,168,166,178,180,181,184,174,164,155,139,112,97,81,61,63,75,77,64,62,174,181,178,178,176,174,173,173,171,169,166,179,180,181,182,176,159,149,132,110,90,76,61,63,71,69,46,144,190,178,179,178,178,176,173,172,170,169,168,179,181,182,182,175,156,150,130,107,86,72,59,61,53,49,133,192,180,182,181,179,177,175,174,173,172,170,168,178,181,181,181,173,156,145,130,106,84,66,54,51,76,153,191,183,184,182,181,179,177,176,175,174,172,171,169,176,180,178,180,165,147,141,129,106,77,61,44,102,189,189,180,181,182,180,180,178,176,175,173,172,171,169,168
18,175,178,182,185,188,191,195,198,201,202,206,207,209,211,213,213,213,213,214,212,213,214,214,215,215,216,216,216,177,182,183,186,189,193,197,201,204,206,208,209,211,213,213,213,215,216,218,220,214,217,218,217,218,218,218,219,179,182,184,188,192,196,198,202,207,209,210,212,214,215,218,218,217,205,176,195,228,218,218,225,219,221,222,221,181,183,187,190,195,199,200,204,208,208,214,215,216,217,214,212,242,202,153,116,179,183,157,189,231,222,224,224,181,185,190,194,197,200,202,206,209,212,215,218,219,218,178,148,205,182,118,116,88,159,157,110,195,233,225,226,184,188,190,195,199,202,207,209,213,214,216,210,229,240,171,140,185,159,103,105,85,154,181,119,119,239,226,227,187,189,193,198,201,206,210,211,215,216,223,178,155,213,198,170,195,167,144,135,114,121,154,123,103,233,229,229,189,192,195,199,204,209,210,214,216,222,240,197,161,139,205,185,167,196,187,186,175,137,104,97,108,235,231,231,190,193,196,200,204,208,212,216,216,229,232,231,202,141,144,189,141,169,208,200,199,160,98,66,109,239,232,232,191,195,199,203,206,209,214,216,220,230,193,225,200,168,104,142,156,113,173,200,193,153,108,68,109,245,232,234,193,197,201,205,210,214,217,216,221,232,154,151,184,147,83,96,143,95,98,156,182,170,131,74,128,249,232,236,194,198,202,207,211,215,217,220,222,234,179,141,168,111,72,77,114,85,67,99,193,194,151,85,119,252,233,239,195,200,202,207,211,215,217,220,222,239,215,168,155,111,76,66,105,79,54,71,186,216,167,118,82,221,243,237,196,200,205,208,212,215,218,222,224,240,205,154,136,113,80,60,111,88,37,157,222,231,193,137,79,126,252,238,198,202,206,210,214,217,221,224,224,235,227,197,155,118,89,77,91,64,138,242,239,223,188,135,101,108,247,241,200,203,206,210,214,219,222,227,225,238,235,203,158,122,103,95,85,129,232,255,248,223,174,126,96,128,253,240,200,203,209,211,214,219,223,227,226,239,238,211,168,138,122,126,128,203,250,255,231,207,164,113,84,152,255,239,202,205,210,212,216,220,223,227,229,236,239,219,186,164,153,128,140,215,249,250,210,175,142,108,78,183,255,242,201,206,209,213,217,221,224,228,227,233,235,220,196,170,156,138,140,199,251,242,199,166,127,103,83,205,255,245,200,204,210,215,218,221,225,231,231,230,233,223,200,169,163,165,137,185,250,231,182,148,117,95,93,230,251,246,199,204,210,213,216,220,225,226,232,231,228,221,205,181,188,177,137,164,248,209,169,130,108,89,113,248,249,249,200,204,208,211,216,219,225,224,229,233,226,216,208,191,182,184,146,148,233,190,151,117,100,84,137,255,245,249,200,205,209,213,216,219,226,226,228,231,228,218,211,195,180,180,153,131,211,178,128,107,100,80,162,255,244,248,203,207,212,215,216,222,226,227,229,234,232,226,220,197,177,165,141,112,187,152,110,98,99,89,213,252,247,249,203,207,212,215,218,223,225,228,230,233,225,240,219,185,160,140,107,109,157,127,108,103,86,142,255,248,249,249,202,207,211,215,219,222,225,227,232,229,224,246,213,178,155,121,111,115,148,121,108,102,93,214,251,247,249,250,203,208,211,215,220,224,225,228,233,226,232,248,218,190,170,139,124,128,147,111,114,79,145,255,247,248,248,250,202,208,210,214,219,223,225,227,230,223,233,239,226,200,185,142,116,146,136,114,101,76,200,252,244,249,248,249
4,190,190,191,191,191,190,189,189,189,189,189,188,187,186,187,186,184,184,183,182,180,181,180,179,180,178,176,175,192,192,192,192,192,192,190,190,189,190,188,188,188,186,187,187,186,186,184,183,182,182,181,180,179,179,179,176,193,194,194,194,193,192,192,192,192,190,189,189,188,188,188,188,186,186,186,183,182,182,182,180,179,179,180,178,194,195,195,195,195,194,194,193,192,192,191,191,189,189,189,188,187,185,185,184,184,183,182,181,181,180,180,179,196,196,195,195,196,195,195,193,188,181,183,185,170,163,180,182,173,172,184,186,187,184,182,183,181,182,181,180,197,197,197,197,197,196,197,201,177,160,125,138,160,124,107,158,152,118,129,185,185,184,183,184,183,182,182,180,198,199,198,198,197,195,208,210,184,147,106,85,146,114,79,129,141,107,77,111,129,148,180,184,185,183,182,181,200,200,200,199,197,200,213,189,189,134,95,83,141,106,71,123,138,100,78,57,80,83,121,184,184,184,182,182,201,200,200,200,199,203,212,177,190,136,124,85,146,138,68,118,161,125,82,52,75,76,88,185,184,185,185,182,201,200,201,201,201,203,203,163,184,170,151,91,172,160,72,119,198,143,88,62,112,101,100,187,186,186,186,184,201,201,202,201,200,211,220,193,165,167,129,88,169,141,70,110,189,138,89,89,143,138,100,177,187,187,186,185,202,202,201,203,202,220,212,187,159,130,93,70,101,94,101,171,153,140,143,135,142,131,99,128,189,188,187,185,203,203,205,205,205,215,196,170,139,116,102,87,69,69,113,187,159,147,159,151,147,134,116,97,176,188,187,187,204,203,205,204,210,230,211,187,158,114,89,80,75,81,81,147,153,142,153,143,132,156,146,106,134,189,187,187,204,204,206,205,214,230,213,193,152,107,94,85,75,75,83,108,119,131,141,106,133,174,163,127,94,187,189,188,207,207,208,206,220,231,215,193,148,108,102,85,79,86,103,115,126,151,161,149,144,176,171,126,80,165,189,190,207,208,208,206,222,229,214,177,144,116,102,91,83,112,148,175,181,183,176,176,158,139,144,116,82,129,190,189,208,208,209,207,222,229,211,176,153,113,101,111,140,177,189,192,184,182,166,155,156,118,116,103,87,101,191,189,209,209,209,209,222,227,208,180,159,136,129,155,179,194,193,190,180,170,157,143,140,117,104,98,88,87,192,190,209,209,209,202,207,217,205,188,172,145,145,173,176,200,189,183,173,165,152,136,125,111,97,89,74,116,192,191,211,211,208,123,101,122,166,187,165,143,134,164,168,183,179,173,171,155,132,122,113,96,80,69,93,182,193,193,212,214,178,84,78,74,78,88,87,86,96,130,149,161,165,166,157,138,118,111,95,78,63,80,175,195,196,195,213,211,121,78,71,71,69,46,31,46,46,54,73,100,126,149,141,128,110,93,74,61,78,171,196,196,197,195,216,168,82,75,69,69,68,58,16,34,41,41,41,39,44,68,91,98,84,68,56,86,176,198,198,198,198,197,207,108,76,68,61,62,66,62,14,23,36,39,36,34,33,32,34,45,44,44,111,186,201,200,200,199,198,197,152,79,75,64,60,61,64,54,11,20,32,35,32,30,33,31,30,29,17,84,197,203,202,201,200,200,200,198,91,72,59,82,79,47,66,37,9,21,32,31,28,29,29,28,30,23,14,25,167,206,203,202,202,201,200,199,72,63,55,75,101,56,57,16,12,24,27,27,24,26,27,28,29,17,14,12,112,208,204,204,201,201,200,200
15,203,194,169,178,136,129,189,57,57,104,101,105,109,113,116,130,147,161,172,176,181,189,194,199,203,206,210,213,212,194,172,184,129,147,188,45,68,105,102,105,110,114,119,134,149,164,175,178,184,193,198,203,207,210,214,218,219,191,175,189,120,165,180,35,79,107,103,106,111,114,120,138,153,167,177,181,187,194,201,206,210,214,217,220,223,194,182,191,115,184,166,30,89,106,105,107,111,115,122,141,157,170,179,183,191,198,205,209,213,217,220,223,223,194,189,190,115,202,149,31,98,106,106,109,115,115,124,142,159,174,182,185,192,201,208,212,216,221,224,226,223,193,194,183,117,213,129,31,103,104,104,107,109,111,126,146,161,176,184,187,194,203,211,217,221,224,228,231,224,194,199,174,122,224,110,42,113,110,116,124,134,131,126,148,165,181,191,193,201,213,221,222,223,227,232,235,220,198,209,175,154,181,153,146,144,143,154,157,151,139,130,132,140,153,169,180,188,190,196,221,239,234,234,240,213,205,201,158,155,156,149,146,130,135,135,129,125,129,142,139,137,138,138,145,158,151,138,138,172,234,250,244,214,202,174,143,141,137,134,129,126,131,130,131,129,138,150,150,143,139,134,142,161,158,149,132,107,124,202,255,214,201,206,139,147,142,113,118,121,130,132,130,132,146,150,146,142,134,136,153,150,149,149,139,129,112,103,150,211,203,216,126,200,196,42,93,114,109,112,114,120,132,149,155,150,136,145,149,152,149,150,138,132,134,124,102,210,213,213,122,215,177,28,97,112,106,109,112,114,118,139,177,211,174,158,151,148,149,144,145,132,146,142,121,211,217,207,123,230,160,29,104,111,107,109,113,115,122,142,211,205,176,146,149,137,127,132,144,133,158,156,134,216,218,200,130,238,140,29,110,110,106,110,114,117,115,178,220,173,159,101,104,111,84,110,162,147,170,158,138,220,223,188,136,242,120,35,115,109,107,110,113,113,130,221,188,158,141,101,64,68,44,118,197,177,172,142,134,222,226,178,148,246,102,42,118,109,109,110,115,106,195,238,170,146,122,85,61,57,41,145,205,196,176,135,125,222,231,166,160,246,84,51,120,109,108,110,114,108,207,228,186,146,112,61,55,52,59,165,206,214,187,140,121,226,238,156,177,241,68,59,121,108,109,111,115,107,158,237,213,169,122,63,52,91,88,138,203,214,182,141,124,229,243,146,196,240,56,70,121,108,107,109,113,115,125,224,240,198,135,74,44,92,123,153,201,185,156,139,114,231,244,140,213,233,45,80,121,107,106,108,112,115,123,187,255,214,163,129,110,117,178,189,172,142,127,130,111,235,241,134,230,218,36,87,118,106,105,105,108,110,130,157,241,238,220,208,199,208,192,145,126,117,115,116,110,239,235,134,244,201,29,96,114,104,104,104,107,109,130,155,231,216,178,170,182,200,177,121,107,112,99,115,123,241,225,136,255,181,28,104,113,103,101,102,106,112,123,204,230,168,165,164,176,203,176,117,102,99,139,108,98,243,214,145,255,160,21,105,107,99,98,100,105,110,123,225,203,165,157,157,163,185,174,127,99,211,254,99,85,246,203,152,255,146,50,119,113,102,100,99,100,105,123,192,190,164,161,147,136,155,157,122,103,255,255,109,91,249,194,168,253,200,163,162,165,159,155,150,151,154,156,163,175,180,210,211,138,110,189,144,139,238,246,116,98,251,182,181,249,209,140,137,146,146,146,147,153,153,152,145,147,151,153,223,200,122,154,156,150,162,160,113,102
24,91,103,116,125,133,137,138,144,151,155,158,162,164,166,170,172,173,175,177,178,178,179,178,178,178,178,177,176,92,105,117,127,135,138,140,146,153,157,160,164,166,168,171,173,175,177,179,180,180,181,181,180,180,180,180,180,93,106,118,129,136,140,142,149,154,159,162,166,169,172,174,175,177,178,180,181,182,182,182,181,181,181,181,181,94,108,120,131,138,142,145,150,156,160,164,168,171,174,176,178,179,181,182,183,183,184,184,183,183,183,183,182,95,109,121,132,139,166,137,148,158,162,166,169,173,175,178,180,181,183,184,186,185,186,186,186,186,185,185,185,95,110,122,133,144,177,121,127,160,164,167,171,174,177,180,181,184,185,187,187,188,188,187,187,187,187,187,187,97,111,123,134,142,162,112,102,159,166,170,174,176,180,182,185,187,188,188,190,190,188,190,189,188,188,188,188,97,112,125,135,142,161,119,90,149,169,172,175,178,179,179,189,192,166,178,191,192,191,192,191,191,190,190,189,98,113,126,137,144,151,137,99,118,169,171,164,186,178,140,178,198,157,117,180,194,194,193,193,193,192,192,191,100,114,127,138,146,149,164,114,96,162,184,153,189,187,131,156,187,145,99,127,195,196,195,194,194,194,194,193,100,116,128,139,147,150,160,133,118,162,207,173,203,198,137,183,175,116,85,94,185,197,197,195,196,196,196,195,102,116,129,141,149,152,157,172,143,168,224,179,196,196,131,192,167,96,73,86,152,201,198,198,198,198,193,184,103,117,130,141,149,152,157,174,161,188,220,173,176,194,133,201,174,90,75,91,114,202,201,200,199,193,182,163,104,119,131,143,151,154,158,175,213,194,206,178,157,186,134,208,173,78,71,84,85,183,202,199,198,194,163,127,105,119,133,144,152,155,160,180,203,177,175,162,125,171,137,211,142,65,79,95,95,131,189,190,197,172,129,100,107,121,134,145,153,157,161,178,223,193,168,150,117,155,130,109,76,82,94,114,136,151,172,175,160,122,104,165,107,123,135,147,153,156,162,176,226,203,170,148,158,161,170,120,116,162,164,169,167,161,153,140,112,118,185,204,108,123,136,147,155,157,162,173,222,211,185,157,155,159,188,192,209,205,195,182,165,142,121,105,114,193,207,207,109,124,137,147,155,157,163,173,220,211,183,161,171,203,223,226,215,201,186,169,144,116,97,104,189,209,209,208,109,125,138,147,155,157,163,171,214,214,190,177,182,209,228,228,212,190,172,147,116,93,108,187,211,211,211,209,110,125,137,148,156,158,164,171,202,215,199,184,177,208,225,220,204,178,152,122,94,130,200,212,213,213,212,211,111,126,138,149,157,159,165,173,192,215,198,175,166,200,206,198,185,161,131,97,138,208,215,214,214,214,213,212,110,125,137,150,157,158,164,172,185,207,182,160,165,197,191,174,154,128,94,133,208,215,214,215,215,214,213,212,110,125,137,149,155,157,163,171,181,203,182,173,176,198,182,154,129,94,99,200,215,214,214,214,213,213,213,213,109,125,138,149,156,158,163,173,182,221,204,190,184,194,173,138,115,84,155,210,213,214,215,215,215,214,214,214,109,124,138,149,156,157,164,174,181,226,216,196,180,189,159,129,106,86,184,214,215,215,216,216,215,215,215,215,109,124,137,149,156,158,164,173,178,212,203,184,175,189,154,133,95,89,194,215,215,216,216,216,215,215,216,216,107,123,137,148,155,158,164,172,180,205,187,166,170,178,150,125,81,91,200,215,216,216,216,216,216,216,216,216
5,150,152,156,157,158,159,160,160,161,163,163,162,163,164,164,163,164,165,164,164,163,162,162,160,159,158,159,157,154,156,159,160,160,162,164,164,164,165,167,167,167,168,168,166,143,161,166,166,166,165,165,163,162,161,161,159,158,160,163,164,164,166,167,168,168,169,171,170,169,168,171,178,124,143,172,170,170,169,168,167,166,165,164,163,162,164,167,168,168,170,171,172,172,173,173,173,172,145,155,185,128,125,176,174,173,172,171,171,170,169,167,166,166,167,170,172,173,174,175,175,175,177,177,177,182,142,130,187,128,113,180,177,177,175,175,173,172,172,171,170,169,171,175,176,176,178,179,179,180,180,181,180,189,150,119,183,128,115,183,181,180,179,178,177,175,175,174,173,171,173,177,179,179,182,182,182,177,179,185,184,192,154,111,181,136,121,185,185,184,183,183,181,179,178,178,176,175,176,179,182,182,185,185,186,158,149,187,186,195,163,113,177,129,125,188,187,187,186,185,185,182,181,180,179,177,179,182,185,186,187,186,189,164,122,186,189,198,165,103,171,124,127,192,190,189,184,158,170,187,184,182,182,179,182,185,187,188,188,189,193,179,108,181,192,197,164,97,170,141,129,194,188,190,185,154,135,183,187,186,184,181,184,187,189,189,190,192,194,180,110,179,194,194,175,104,151,150,133,194,185,174,155,174,157,157,186,188,187,184,186,190,191,192,193,194,195,193,121,164,196,191,183,109,121,151,139,192,186,162,93,151,167,133,177,192,190,186,189,193,193,195,195,195,197,199,148,144,194,191,186,113,115,148,137,182,180,153,125,175,155,136,191,193,192,187,190,194,195,196,196,198,197,193,189,161,169,185,176,129,134,138,123,158,165,138,170,188,131,163,197,194,194,189,192,195,198,199,199,199,200,190,200,186,159,158,155,133,132,130,124,157,164,141,187,174,108,179,198,196,195,192,195,196,199,200,201,201,202,198,199,208,177,150,145,124,127,125,126,152,162,152,197,156,97,189,199,198,197,193,196,198,199,201,203,203,203,203,202,221,195,143,131,115,111,119,129,150,158,153,200,153,110,199,201,200,199,195,198,200,201,202,203,204,205,205,205,225,203,145,110,107,103,117,141,158,152,146,195,155,123,203,202,201,201,197,200,201,202,203,204,206,207,207,206,220,201,151,110,105,105,130,154,174,181,158,184,153,129,205,204,202,202,197,200,201,202,205,207,208,208,209,205,217,197,152,112,101,112,144,163,190,198,169,162,131,123,206,206,204,202,200,201,202,204,206,208,208,209,210,205,217,197,158,114,102,119,158,184,193,194,175,135,97,111,206,207,206,205,200,201,203,206,207,208,209,210,211,205,214,198,162,116,104,120,166,197,197,185,155,108,73,135,210,208,208,207,200,202,206,207,208,209,210,212,213,207,207,196,162,119,109,116,174,204,193,166,132,88,95,193,212,209,209,207,202,203,206,208,208,209,211,213,214,204,195,193,161,124,117,114,171,192,174,145,110,81,165,215,212,210,209,208,202,203,206,208,209,209,212,212,215,205,188,185,155,133,122,115,158,175,159,129,88,116,210,215,214,213,210,209,201,203,206,207,208,208,210,211,213,207,185,177,150,137,119,111,149,161,144,102,85,182,216,215,214,213,212,211,201,203,206,207,207,208,209,212,213,206,188,178,152,136,118,101,134,133,108,81,154,215,214,214,214,213,212,211,201,203,206,207,208,208,210,213,215,204,193,178,145,130,119,98,116,102,75,125,211,215,215,214,214,213,211,210
23,170,170,170,168,170,171,170,169,167,167,166,164,164,163,162,162,161,159,157,155,154,153,150,148,148,141,27,3,173,172,173,171,172,173,172,172,171,169,170,168,166,165,164,164,162,161,159,157,157,155,153,149,153,134,12,0,173,173,173,174,175,175,175,174,174,173,172,172,170,168,167,166,163,163,162,160,159,157,156,152,163,106,0,0,177,177,176,178,178,179,179,178,176,174,173,172,173,171,171,170,169,165,164,163,162,161,158,153,166,82,0,0,181,179,179,180,181,181,180,180,179,178,177,176,165,167,169,167,161,170,168,165,165,162,160,156,162,54,0,0,181,182,182,181,182,181,181,181,180,179,179,164,130,123,137,136,121,102,161,169,164,164,163,160,157,29,0,0,183,183,185,185,185,185,182,183,183,182,174,151,157,132,130,142,137,72,89,183,165,166,165,163,167,50,0,0,186,185,186,186,186,187,186,185,185,184,173,157,138,97,73,107,97,97,45,131,180,166,166,163,171,83,0,0,187,186,187,187,187,188,188,186,186,182,176,151,119,64,102,121,126,95,81,48,146,175,167,164,168,113,69,0,188,187,188,188,189,189,189,188,187,177,171,132,122,66,180,189,188,150,96,57,120,181,169,167,167,134,105,33,190,189,189,189,189,190,191,190,188,170,161,117,113,105,193,184,184,189,175,156,175,174,171,169,170,146,86,131,190,190,190,190,192,193,191,193,182,166,153,107,98,141,171,156,154,137,147,186,177,174,173,171,171,150,118,124,192,192,193,193,193,193,192,192,166,155,142,125,129,141,145,147,148,126,64,169,174,175,174,172,172,161,142,138,194,195,195,194,193,193,195,168,137,136,144,154,164,173,172,162,145,115,62,155,160,138,174,173,170,172,154,105,195,196,196,194,194,197,186,164,148,140,142,144,155,149,137,127,116,115,74,125,173,114,140,182,173,171,171,123,196,197,197,196,195,197,185,163,150,136,128,136,143,146,150,144,125,113,82,50,130,90,112,187,172,172,172,165,198,198,199,198,197,201,177,169,172,145,135,135,142,149,142,138,136,71,44,13,62,35,108,190,174,174,171,171,199,201,202,203,199,204,170,168,169,138,130,139,148,150,144,140,124,57,21,7,15,46,171,180,177,175,172,170,201,202,203,202,201,206,171,150,166,157,158,159,153,151,139,125,84,40,24,16,26,160,189,178,178,177,174,172,200,201,201,201,200,204,169,145,177,169,161,155,125,109,91,57,52,43,25,13,129,195,179,180,179,177,174,171,201,202,201,201,201,205,168,148,170,158,150,137,106,63,23,28,54,36,16,49,185,181,180,179,177,173,173,174,203,203,203,203,202,207,167,150,159,149,148,140,107,50,13,32,28,26,16,100,198,180,180,177,175,180,173,150,203,203,203,203,203,207,165,151,153,148,152,150,97,32,8,10,18,34,22,148,194,181,180,187,184,141,97,109,202,203,202,203,201,207,165,148,151,161,165,139,78,41,19,23,38,34,48,187,185,190,187,137,91,43,101,117,210,211,212,212,210,216,163,142,154,168,160,119,74,49,25,28,46,21,110,208,187,154,90,24,19,20,109,129,145,150,154,158,164,172,141,142,161,169,153,109,67,51,29,28,31,45,180,154,86,34,15,17,15,7,85,142,75,75,73,72,75,73,114,149,158,161,142,100,65,49,27,24,28,51,73,33,8,26,12,15,5,5,39,143,93,93,95,93,89,87,130,150,151,146,120,88,55,41,24,19,30,26,29,13,5,27,8,7,5,6,3,86
5,134,135,137,139,141,141,141,141,142,139,154,107,115,144,138,139,138,136,137,139,134,134,133,131,135,71,24,29,136,137,139,141,142,142,143,143,143,140,167,87,85,149,139,140,139,141,132,124,138,134,135,141,106,23,36,50,137,139,141,142,143,144,145,145,147,146,167,78,102,151,141,142,138,151,109,72,144,136,136,135,56,20,39,57,138,141,142,144,145,146,147,146,131,158,151,69,127,150,143,142,142,133,71,84,146,136,142,112,32,28,38,50,139,142,144,145,147,148,151,160,71,152,136,68,143,148,145,147,127,95,60,132,143,138,146,87,26,40,53,61,141,142,145,147,149,152,149,167,75,128,133,73,151,148,150,134,102,60,106,149,141,140,146,98,37,49,52,58,142,145,147,148,150,152,149,174,101,104,117,82,156,152,132,107,77,81,153,144,143,141,147,117,46,53,50,43,143,146,148,150,153,153,153,164,112,91,89,99,163,130,92,83,63,135,152,146,145,143,144,134,53,40,35,37,146,147,150,151,153,155,153,168,127,81,68,117,153,90,73,57,115,155,147,148,147,145,144,150,80,16,22,40,147,149,151,151,154,156,154,173,147,86,77,107,120,76,61,87,161,149,150,149,148,147,146,153,104,26,28,24,149,150,152,153,157,157,157,169,146,85,79,85,91,76,59,121,159,152,150,149,150,148,147,151,129,96,96,61,150,152,153,156,158,157,158,161,143,87,66,65,69,68,67,151,159,146,151,154,151,151,149,150,137,70,128,128,152,154,155,157,158,160,159,160,150,107,72,64,55,52,99,158,112,86,96,146,158,152,150,151,132,86,140,101,152,154,156,158,160,161,160,159,158,124,74,57,56,50,80,87,73,91,93,101,127,150,152,154,151,121,79,86,153,155,156,158,160,161,162,159,167,143,96,62,55,58,54,63,78,72,100,120,110,122,129,127,136,151,98,120,154,156,158,159,161,162,163,163,174,163,129,79,56,57,65,55,49,56,91,90,109,120,114,82,82,137,139,132,154,157,159,161,164,164,164,164,174,173,143,87,58,52,60,48,87,142,153,125,115,96,111,111,95,66,138,140,155,158,159,161,164,165,165,164,179,182,145,91,62,53,40,94,179,159,163,160,123,121,128,106,83,96,146,90,156,158,160,163,165,166,166,165,182,187,149,98,66,48,32,71,127,170,153,105,105,124,99,75,132,156,156,116,156,158,160,163,165,167,167,166,182,189,152,102,70,42,41,51,56,124,92,98,116,89,55,131,162,151,152,148,157,159,161,164,166,167,167,170,184,186,149,102,71,42,43,57,63,50,72,104,87,64,123,160,153,154,153,151,157,159,162,165,165,168,166,170,189,183,145,103,71,43,45,60,65,68,77,82,71,141,166,156,156,155,153,151,158,159,161,163,165,166,165,169,188,178,136,99,71,46,49,68,70,72,65,60,138,165,157,158,155,154,152,151,158,161,162,164,165,167,165,172,183,168,129,100,72,43,52,73,75,71,56,128,166,157,160,158,156,153,153,152,158,160,162,164,166,166,161,178,182,162,130,104,69,43,48,71,78,59,87,172,158,160,160,159,156,154,155,153,158,160,161,164,167,161,165,188,181,157,131,104,69,48,49,72,75,49,132,166,159,160,159,159,156,154,155,153,159,161,163,165,167,154,183,190,175,151,133,102,65,50,58,75,53,82,168,161,160,160,159,158,156,155,155,152,158,161,164,168,156,159,192,184,163,147,132,96,60,51,61,61,58,152,166,162,161,159,160,159,158,156,156,145
4,56,65,84,98,105,111,116,121,125,129,130,132,136,139,143,146,147,149,151,151,152,154,155,157,157,156,157,158,58,67,86,100,106,114,117,122,127,129,132,135,137,140,142,145,150,152,152,156,155,156,156,159,159,158,159,160,59,70,89,100,107,113,118,124,128,131,129,132,137,143,151,144,129,142,152,140,152,161,158,160,162,162,162,163,61,70,91,102,108,114,120,126,130,129,151,153,130,134,185,156,93,64,130,100,74,156,164,160,163,163,163,163,61,73,93,102,111,117,121,124,136,138,135,170,166,100,128,145,84,37,75,101,44,111,174,161,164,165,165,164,61,76,96,103,111,117,123,122,168,165,128,107,123,90,70,118,74,32,95,108,40,93,177,161,166,166,167,166,62,79,97,105,113,119,120,140,184,176,150,112,56,55,66,153,83,43,136,89,20,107,178,163,167,169,169,170,63,81,99,105,114,120,116,163,160,132,142,85,46,36,60,136,94,132,139,92,30,128,175,165,169,170,171,171,64,84,100,105,114,122,117,171,135,114,137,57,34,46,26,81,127,150,120,121,83,116,178,168,170,171,172,173,66,85,100,107,115,122,123,185,151,135,122,69,20,83,113,126,130,115,109,138,117,88,132,181,172,173,173,174,69,89,102,109,116,118,135,188,137,109,99,71,2,90,131,108,108,66,103,155,139,127,79,139,182,172,175,175,70,92,103,109,117,115,147,179,124,95,73,41,8,13,51,62,49,45,101,138,155,141,103,68,156,180,176,176,73,93,103,110,119,113,168,188,139,110,90,61,31,16,22,25,76,159,154,148,144,124,117,71,93,185,175,178,74,93,103,111,120,115,187,184,139,127,96,63,44,41,80,135,174,181,162,148,125,91,94,69,94,187,177,180,75,94,104,111,119,119,198,185,161,136,95,76,57,71,149,179,184,183,163,135,112,78,69,58,144,184,179,180,75,96,105,111,117,124,208,190,166,129,95,91,65,115,172,174,184,178,152,122,96,73,52,84,185,178,181,182,78,96,105,113,118,123,203,191,159,126,108,108,89,141,169,169,177,167,138,109,87,67,44,146,188,179,182,183,81,97,106,114,121,125,201,188,155,139,137,120,116,152,164,173,163,146,122,96,81,53,84,187,179,181,182,184,81,99,106,114,121,124,187,187,169,158,148,125,128,156,163,163,143,125,106,85,70,46,153,188,180,182,184,185,84,98,104,115,123,121,170,194,183,168,146,121,107,137,147,141,126,109,94,78,48,94,189,181,183,184,186,186,86,98,105,115,124,123,154,194,171,161,142,115,97,121,131,127,110,94,82,65,53,167,185,184,186,186,187,187,88,100,106,115,124,127,142,188,159,142,129,104,105,119,132,126,106,87,76,44,122,190,181,186,187,187,187,188,90,99,107,117,124,128,137,175,144,134,121,108,128,113,114,118,95,78,54,66,182,184,184,185,188,188,188,189,91,99,109,118,125,131,134,178,148,142,129,133,140,114,98,105,87,69,42,130,191,181,183,185,188,189,190,190,90,100,110,118,126,128,170,171,168,147,138,136,124,107,89,91,80,65,46,164,187,181,184,188,189,189,190,191,92,100,109,120,118,150,189,165,139,146,146,132,112,101,82,78,69,60,41,163,188,182,186,189,190,190,190,192,94,100,110,118,126,189,173,181,150,88,130,123,104,95,67,66,65,54,42,165,187,185,188,188,190,191,191,192,94,101,114,113,156,189,168,172,189,130,66,98,99,87,57,63,61,50,37,161,187,187,188,189,191,191,192,192
24,137,141,145,148,150,152,154,157,158,160,161,164,164,165,167,169,170,171,174,174,175,175,176,176,175,177,177,178,137,141,144,146,150,152,155,157,159,161,161,164,166,167,169,170,171,172,174,174,175,177,177,177,178,179,179,180,138,142,145,148,151,153,156,158,160,163,164,166,168,169,170,172,172,173,175,175,177,177,178,179,179,180,180,180,138,143,145,149,151,153,156,159,161,163,165,167,169,170,172,174,173,173,176,177,179,180,180,181,181,181,181,180,139,144,146,150,152,154,157,159,162,164,166,168,170,171,172,174,175,175,176,179,180,181,180,181,181,181,180,180,139,143,148,151,154,156,158,160,163,165,166,168,171,171,172,173,177,178,179,180,180,181,181,181,181,181,182,181,141,143,155,148,132,158,158,161,164,166,168,169,169,169,175,176,173,167,179,181,181,181,181,181,182,183,182,183,141,143,162,162,115,149,160,162,164,167,169,171,171,153,135,175,172,138,136,181,181,181,181,182,183,183,183,183,142,144,150,165,127,122,163,162,164,167,147,165,187,159,119,153,178,146,101,138,186,183,183,184,184,185,185,183,142,145,148,162,155,121,150,163,174,180,153,139,188,163,129,141,182,153,107,93,182,184,185,186,185,185,173,154,141,146,150,156,179,151,122,159,185,195,163,131,179,170,133,124,180,147,104,75,167,187,184,184,186,178,146,117,142,146,150,152,171,165,129,139,173,204,176,140,148,180,141,107,166,131,95,67,151,189,184,185,178,163,130,101,142,147,150,153,156,170,174,157,159,188,184,143,115,164,144,98,136,121,96,68,112,190,186,170,161,147,111,123,142,148,151,153,155,167,180,174,176,183,173,137,101,135,138,98,109,137,106,70,80,165,166,156,150,121,94,165,143,147,151,153,157,158,177,178,171,179,170,135,118,111,151,116,105,165,115,81,118,135,153,154,123,91,144,190,143,148,150,154,158,158,171,187,168,151,149,147,145,109,157,141,88,153,121,145,165,151,145,130,99,122,188,187,143,148,152,155,157,159,167,187,152,141,139,148,146,122,142,133,95,148,177,178,163,146,126,111,102,182,189,188,143,148,153,156,157,160,165,195,171,151,135,136,144,157,142,138,166,184,178,171,157,139,117,96,147,192,188,188,144,148,152,155,158,162,163,199,189,165,140,131,155,171,180,191,194,183,174,164,149,129,102,107,188,190,189,189,144,149,152,155,158,162,163,197,200,174,158,141,147,168,187,203,192,181,177,162,137,111,90,150,192,189,189,189,145,149,152,155,159,160,161,189,206,181,172,160,148,169,185,199,191,184,176,156,132,100,108,188,189,188,189,189,145,150,153,155,158,160,163,174,203,191,179,171,158,166,183,193,189,180,167,152,132,93,160,193,190,190,189,189,144,149,153,156,157,160,164,166,185,195,185,169,159,165,180,187,182,169,154,141,111,124,191,189,190,190,191,189,144,148,152,155,157,161,165,167,176,197,182,168,158,167,174,176,171,158,140,119,101,178,190,189,190,190,191,192,143,148,151,153,156,160,163,165,172,186,171,167,161,163,168,172,166,154,132,101,136,194,188,188,189,189,189,191,141,146,150,152,155,159,161,164,170,176,167,174,172,172,173,169,160,147,124,95,168,189,187,187,188,188,188,188,141,145,149,152,153,158,160,162,170,189,182,187,179,177,170,163,154,140,113,99,182,186,186,186,187,187,189,188,140,144,149,151,153,158,160,161,171,201,187,186,180,175,164,158,154,132,104,110,189,186,186,186,186,187,188,188
19,163,165,166,167,169,170,170,170,170,170,170,171,170,169,170,169,169,168,167,167,166,166,165,164,163,162,162,162,164,164,166,168,169,170,171,171,170,170,171,171,170,170,171,170,169,169,168,168,167,165,165,166,164,163,164,162,165,165,167,168,169,171,173,172,172,172,171,171,170,171,172,171,170,169,169,169,168,166,167,167,166,165,165,164,165,166,168,170,170,171,172,172,172,173,173,172,171,172,172,171,170,170,170,170,170,168,168,167,166,165,165,164,166,168,168,170,171,172,172,174,174,172,172,174,175,171,172,172,172,172,170,169,170,170,169,168,166,165,165,164,167,171,170,171,174,175,175,174,176,179,160,140,161,178,173,174,173,172,171,171,171,171,171,169,167,167,166,166,169,170,172,173,174,175,175,176,176,205,185,152,111,160,179,174,175,173,172,172,172,172,171,170,168,168,167,166,169,170,172,173,174,175,177,179,171,196,208,175,125,98,176,175,176,174,173,174,173,172,172,171,169,169,168,167,172,172,172,175,176,177,178,178,177,182,207,180,137,78,138,185,174,176,174,173,173,172,171,171,170,169,169,168,172,173,174,177,177,178,179,181,175,181,200,171,130,81,110,188,174,176,174,173,174,173,171,170,170,170,170,169,172,174,176,178,178,180,182,180,189,216,192,164,149,108,117,177,175,180,180,177,175,173,174,173,171,170,170,169,173,175,178,179,181,182,180,180,221,208,178,159,169,180,175,163,155,157,164,173,178,176,176,173,173,172,170,170,175,177,178,180,181,183,176,206,217,184,140,118,139,179,196,194,183,171,147,149,152,166,173,177,173,171,171,171,176,180,179,180,181,180,191,229,211,191,161,115,97,131,169,184,191,191,179,167,158,163,152,153,166,175,175,170,179,180,180,182,184,180,215,220,198,181,164,159,138,129,135,143,150,163,175,186,191,195,178,146,139,136,164,175,178,179,180,183,182,191,220,206,172,148,148,140,166,171,153,141,127,111,121,139,150,173,185,177,160,127,122,155,177,180,183,185,183,214,235,213,172,145,138,130,137,172,179,171,152,118,97,141,159,152,152,152,151,152,147,155,180,182,182,181,195,230,231,205,174,159,161,162,157,140,149,165,163,139,122,116,179,184,174,164,152,148,144,147,180,181,184,182,211,229,218,190,166,165,178,176,176,156,94,131,134,139,142,113,161,188,182,183,182,177,169,165,181,183,181,198,224,225,213,176,148,128,160,191,191,187,114,132,110,110,113,129,182,184,183,182,181,181,181,180,181,181,186,220,220,233,213,173,145,130,118,152,164,177,171,147,125,118,110,177,186,183,183,183,181,180,179,178,181,179,200,223,228,235,202,166,155,153,153,142,118,142,185,161,140,114,164,192,183,184,184,184,180,178,178,176,183,184,217,223,231,219,200,173,164,159,158,149,139,133,132,132,124,148,189,185,186,185,183,181,182,181,179,178,179,196,225,224,222,213,197,181,167,168,165,149,132,125,128,104,158,191,187,185,186,185,185,183,182,181,179,179,178,209,225,221,221,208,185,171,151,152,159,150,140,134,122,147,198,188,187,185,187,187,186,185,183,181,182,180,183,217,221,216,213,201,185,153,122,108,115,129,128,131,150,186,192,190,190,187,187,186,186,186,184,183,182,181,197,218,209,201,199,181,153,125,108,84,143,185,172,180,193,191,191,190,191,190,188,186,185,185,183,182,180,180,214,214,193,187,175,150,125,112,107,94,183,200,196,195,192,192,192,192,190,189,187,186,185,185,182,182,181,180
11,200,199,199,199,198,197,198,198,195,198,195,193,193,192,190,189,187,186,184,184,181,179,178,178,175,174,172,174,203,202,202,203,202,202,202,201,204,173,194,197,195,195,194,192,191,189,187,186,185,182,181,179,178,176,180,162,207,207,206,206,206,206,207,205,215,159,155,209,199,199,197,195,193,192,191,189,188,186,184,180,181,180,126,69,211,211,211,210,210,211,210,209,206,188,124,192,208,202,200,199,197,195,193,191,190,189,186,184,180,108,50,51,214,214,214,214,215,215,213,213,210,202,136,156,216,205,205,203,201,199,198,196,195,192,189,194,132,68,61,63,219,218,218,218,218,217,217,216,214,202,147,133,218,208,208,206,205,202,202,199,198,195,195,186,87,82,75,60,220,221,221,221,221,220,220,220,218,207,181,122,205,217,211,209,208,207,205,203,201,198,202,176,76,82,74,70,223,224,224,223,223,222,224,223,221,223,196,118,186,223,214,213,212,209,208,207,205,200,205,170,77,73,58,63,227,228,227,226,226,226,227,226,222,225,205,121,168,229,215,216,215,212,210,209,207,203,210,155,67,74,54,68,229,229,229,228,229,228,227,229,226,209,202,139,144,230,218,217,216,215,214,212,210,205,216,143,59,70,53,60,230,230,230,230,230,231,230,230,232,209,202,182,124,206,230,225,218,218,216,215,214,209,217,130,58,67,50,56,233,233,233,234,233,234,234,232,235,224,209,217,143,183,163,194,228,219,219,217,216,213,211,99,60,49,50,68,235,235,235,235,236,235,234,233,234,230,208,216,227,217,123,124,233,221,222,221,218,216,214,115,104,114,101,76,236,236,236,237,236,236,236,235,237,238,215,222,197,165,137,104,219,228,223,222,219,217,207,191,186,178,161,110,238,237,237,238,238,238,239,239,228,196,219,234,177,97,123,106,188,235,223,223,221,210,208,204,183,140,114,97,240,240,241,240,240,242,238,228,222,146,132,202,172,104,107,110,151,238,222,226,211,215,216,193,140,128,109,76,242,241,241,242,243,241,229,233,214,159,118,135,176,126,100,111,114,231,236,221,195,207,203,139,116,178,171,69,242,243,244,244,241,229,237,216,172,174,149,112,153,147,94,111,107,171,211,181,190,197,151,136,184,191,181,122,245,244,245,246,234,229,213,169,118,152,154,117,122,151,98,104,119,97,124,165,186,161,133,224,174,146,163,161,246,247,247,247,231,228,211,176,111,117,169,90,85,155,113,95,152,129,126,162,165,120,200,230,209,84,143,163,248,249,248,249,226,228,213,171,123,110,140,64,71,162,112,88,172,143,123,151,117,149,236,220,231,174,161,174,249,249,249,250,236,221,211,193,177,128,89,76,75,159,140,106,121,137,137,126,107,220,231,225,222,226,193,160,250,249,250,251,248,223,218,208,187,155,113,99,118,166,162,122,136,182,143,96,183,241,227,227,223,226,198,154,251,251,252,252,253,233,216,207,200,171,139,111,128,191,172,132,163,153,118,105,228,234,230,228,225,227,202,133,251,252,252,252,255,241,221,209,195,173,143,125,118,170,198,178,159,137,95,144,246,231,231,229,227,228,206,123,251,251,252,251,251,248,216,207,185,172,151,134,123,148,174,166,152,120,89,212,241,231,230,229,226,230,198,162,252,252,252,252,250,255,226,198,191,175,160,145,129,128,148,141,131,86,165,244,231,231,229,228,231,220,176,174,253,253,254,254,251,254,247,199,189,178,168,151,127,113,126,118,92,137,243,234,234,231,229,227,183,169,167,174
24,192,195,196,198,200,203,204,204,204,207,204,205,204,205,203,202,203,203,202,201,201,200,199,196,196,196,195,194,193,195,198,201,202,203,206,206,205,207,206,207,205,206,205,206,205,204,204,203,202,202,201,200,198,195,194,194,194,196,199,200,206,206,205,208,207,208,208,208,208,208,208,208,207,204,204,204,204,203,202,202,200,196,195,195,196,199,199,205,183,202,208,209,210,210,210,209,209,209,209,209,208,206,205,205,204,204,202,202,201,199,197,197,198,200,203,220,138,189,214,209,210,210,211,211,210,209,209,208,209,208,207,207,205,205,204,203,202,200,200,200,200,200,209,207,128,191,214,211,212,212,213,215,211,209,211,210,210,209,208,208,207,205,204,203,202,201,200,202,200,199,212,203,128,190,215,211,213,212,208,203,216,212,212,212,211,209,208,210,210,211,209,204,204,203,201,201,202,201,214,209,131,191,220,213,216,219,215,163,169,215,214,212,213,212,211,198,184,168,197,209,205,203,203,202,202,203,214,206,135,177,214,211,180,211,225,197,131,142,216,216,213,212,189,151,134,116,165,214,205,205,204,204,203,203,213,202,201,199,198,229,159,170,232,203,135,104,166,223,214,206,155,117,128,173,202,211,208,207,206,205,205,205,212,223,241,218,221,235,180,153,229,195,124,98,119,209,223,189,130,122,205,218,213,211,209,208,209,207,205,208,213,214,248,220,228,237,182,121,185,154,117,85,117,199,206,155,116,183,222,210,212,211,210,209,209,208,207,209,211,221,252,222,238,245,179,118,72,144,182,166,191,201,163,123,143,223,215,215,214,213,212,211,210,209,207,210,211,246,243,203,208,224,154,103,120,225,224,209,194,186,145,116,201,223,217,217,217,215,212,212,210,210,208,210,216,232,216,188,148,149,126,178,247,237,216,195,175,160,134,148,227,218,218,218,217,216,215,213,211,211,210,208,228,230,213,191,163,119,204,255,246,235,211,181,156,142,125,194,229,219,219,219,219,217,216,215,213,211,211,207,237,247,220,192,181,208,255,251,244,230,196,164,143,134,132,219,224,220,220,219,219,219,217,216,215,213,211,209,246,251,227,213,225,255,255,251,238,214,179,146,142,117,166,233,223,223,223,222,220,220,218,217,215,214,212,209,250,253,235,235,255,255,253,244,224,193,157,139,130,129,220,229,225,224,223,223,221,219,219,218,217,215,212,209,249,255,241,249,255,252,230,218,200,168,145,136,123,202,234,226,226,226,223,223,222,221,220,219,218,217,214,211,247,255,244,236,243,235,214,195,178,148,138,119,193,236,227,227,226,226,224,224,223,222,221,219,218,218,214,212,238,255,235,232,242,240,219,198,174,144,111,143,234,230,231,230,227,227,225,225,226,224,222,221,220,218,213,215,226,232,219,235,241,236,218,192,167,131,93,187,237,230,231,231,230,227,225,225,225,225,224,223,222,219,213,217,219,228,235,242,234,227,218,188,159,117,106,215,236,231,232,232,232,230,227,226,226,226,225,223,222,220,211,215,215,239,248,231,229,222,209,183,158,114,118,227,232,230,231,231,230,227,226,227,226,225,224,223,222,221,210,214,214,244,244,220,234,212,200,183,155,122,110,221,232,230,230,231,228,226,227,227,226,224,223,223,220,219,211,215,213,250,246,219,236,207,203,183,150,123,104,209,236,231,231,232,229,227,226,227,226,224,223,223,220,219,211,215,215,251,249,225,236,216,200,180,148,124,101,199,238,231,233,230,230,228,226,226,225,225,224,223,222,220
13,170,170,173,175,176,177,178,178,180,180,181,180,181,180,181,180,179,177,176,175,175,174,172,169,168,166,165,165,170,171,173,176,178,179,179,181,181,182,182,181,182,182,180,180,179,179,178,177,175,175,174,172,171,169,167,166,171,173,175,178,180,181,181,182,183,182,169,146,150,181,167,141,147,179,180,179,177,176,175,174,172,172,170,167,172,175,176,179,181,181,183,185,185,187,169,138,113,137,144,120,85,152,183,181,179,179,177,176,174,173,171,169,173,176,178,180,181,183,185,186,186,194,188,152,124,83,135,124,91,113,185,182,181,180,179,177,175,173,172,170,174,177,180,182,182,184,185,187,186,190,192,154,120,76,110,118,88,93,185,185,182,181,179,178,177,175,173,172,175,178,181,183,184,185,187,187,187,192,182,150,115,80,85,99,77,84,185,185,183,182,180,179,179,177,175,173,176,179,181,183,186,187,188,186,174,178,164,149,119,92,78,109,80,92,187,185,185,184,183,181,181,179,177,174,177,179,182,185,187,189,188,172,129,110,113,151,151,107,87,115,89,97,187,187,186,186,183,182,181,180,177,176,178,181,183,186,187,189,192,167,127,109,95,145,155,114,80,105,78,70,167,188,188,187,185,183,182,180,179,177,179,182,184,186,187,177,148,148,141,128,97,78,111,83,70,80,77,80,111,187,189,187,186,184,184,181,180,178,180,183,185,186,190,170,121,102,150,135,112,61,38,39,65,83,96,104,85,160,190,187,187,185,185,183,181,179,181,183,185,194,195,155,124,108,127,140,118,87,37,59,71,103,119,115,91,112,191,189,188,186,185,183,182,180,181,184,186,197,164,152,138,122,99,135,123,99,51,75,124,139,127,107,91,96,191,190,187,187,186,184,182,180,180,184,186,198,161,134,134,116,99,108,109,80,51,89,141,152,135,100,80,109,193,191,189,189,187,186,183,180,182,185,189,188,158,122,109,103,83,60,83,73,60,113,151,148,132,97,68,140,194,192,189,188,186,186,183,181,182,185,188,190,179,149,112,84,60,49,83,89,93,157,162,142,124,92,66,170,195,193,190,188,187,186,184,181,183,186,188,189,183,162,134,117,96,94,109,111,151,176,157,133,112,87,78,189,194,193,192,189,188,187,185,183,184,187,188,188,181,168,145,123,103,110,144,168,175,167,147,124,103,79,99,197,196,194,192,189,188,186,185,184,184,187,189,190,172,158,143,123,107,114,137,169,169,156,133,113,94,69,129,197,197,195,193,190,188,187,186,186,183,186,189,190,167,156,144,127,118,117,129,161,166,150,124,100,84,61,165,198,198,195,193,191,189,188,187,185,184,187,189,192,179,157,146,134,124,114,121,154,157,138,110,87,70,82,194,198,197,195,194,192,189,188,187,186,183,186,189,193,192,163,149,138,123,112,110,136,142,124,97,78,59,145,199,199,198,196,194,193,190,190,188,186,184,186,190,193,195,187,156,134,119,113,111,124,135,118,93,75,72,189,199,199,197,196,195,193,191,190,189,186,184,187,191,194,195,193,170,143,125,118,122,124,131,117,89,73,116,200,200,199,198,198,195,193,193,191,189,187,184,187,190,192,194,188,178,155,146,143,138,130,131,113,83,71,159,200,199,198,196,196,195,192,192,190,188,186,182,185,188,192,192,182,186,165,157,151,142,135,124,103,79,72,183,199,198,196,195,195,193,191,189,188,186,184,182,186,188,191,192,179,192,168,159,157,140,127,108,97,75,81,194,199,198,196,196,195,194,192,190,188,185,184
4,97,104,114,121,124,127,130,133,136,137,139,142,143,145,147,149,151,153,155,157,158,159,160,161,162,163,165,165,98,105,115,121,124,128,132,134,137,138,141,143,144,145,146,148,152,154,155,158,159,160,160,161,162,163,164,165,100,107,115,121,125,130,133,136,138,139,139,141,146,155,143,136,137,152,153,156,159,161,162,163,163,163,163,164,101,108,118,122,127,131,134,136,139,150,153,138,135,157,168,144,112,115,136,124,143,161,162,164,164,165,164,165,103,110,119,124,128,131,134,137,140,167,175,163,134,114,160,141,107,84,127,104,106,162,162,165,165,166,166,167,103,111,120,125,130,132,137,155,156,145,129,161,135,97,128,131,99,76,117,105,97,160,164,165,165,166,167,168,105,113,121,126,130,132,151,184,171,136,100,137,130,91,103,141,108,78,128,118,93,156,165,167,167,167,168,168,105,115,123,126,129,131,161,171,168,134,98,115,142,97,80,142,122,75,136,124,89,150,165,167,167,168,168,169,106,116,123,127,130,132,165,167,152,148,121,92,143,111,55,116,145,100,111,115,121,121,150,167,168,169,170,170,108,116,123,128,132,133,166,166,137,140,120,69,101,102,65,104,151,128,111,114,123,113,125,167,169,171,171,172,110,118,125,129,133,133,168,172,153,131,105,83,79,98,92,110,134,134,127,118,116,128,115,159,171,171,171,172,112,120,126,130,134,137,180,173,148,127,110,91,93,113,105,121,135,132,121,120,138,146,118,141,173,173,173,173,113,121,127,131,135,142,187,172,140,119,103,90,99,114,119,131,144,128,106,136,162,154,131,123,172,174,174,174,114,122,128,131,135,147,191,169,141,120,105,96,105,115,133,139,151,160,158,146,149,154,134,111,162,176,174,174,115,122,128,132,135,153,197,172,144,122,110,100,108,121,142,150,161,174,172,162,154,138,122,97,144,177,176,176,117,123,129,133,135,153,201,177,150,129,110,101,109,124,148,161,172,179,174,165,153,132,108,88,139,179,178,179,119,124,128,133,136,152,203,182,158,137,113,107,112,127,155,172,179,180,172,163,146,128,104,88,154,179,178,179,120,125,128,133,137,154,205,183,164,144,125,117,118,132,164,182,185,179,167,155,141,121,97,102,174,178,179,179,120,125,128,134,137,151,200,185,170,152,139,124,126,145,171,190,188,178,165,149,133,111,87,130,180,178,179,179,120,125,129,135,138,146,190,188,177,162,151,137,132,157,168,186,185,175,163,144,124,98,89,162,180,179,180,180,120,125,130,135,138,142,179,191,182,170,159,148,137,153,164,180,180,171,158,140,119,92,115,179,179,179,180,180,121,125,130,135,139,142,168,198,186,175,162,150,140,149,161,177,175,162,153,138,117,94,152,180,180,180,181,181,122,126,130,136,139,143,161,205,189,174,160,147,143,148,161,171,164,152,141,132,111,116,177,181,181,180,181,181,123,126,130,136,141,144,159,208,184,169,160,152,149,152,159,161,149,140,128,117,110,159,180,181,181,181,181,181,122,126,130,136,141,144,160,202,176,169,166,162,158,153,155,156,144,133,118,99,145,178,180,181,181,181,181,181,123,127,131,136,140,143,162,198,178,175,171,168,166,156,151,149,139,124,103,109,175,178,180,180,182,182,182,182,122,126,131,137,141,144,164,200,190,177,169,171,173,157,144,139,132,115,89,134,179,178,179,181,182,182,182,182,122,127,132,137,141,144,165,198,195,177,171,176,174,153,140,133,130,107,86,155,180,179,181,182,182,182,183,183
4,82,89,104,116,122,128,132,136,139,142,144,146,149,151,154,157,159,160,162,162,164,165,166,167,167,166,167,168,83,91,106,117,124,129,133,137,141,143,145,148,149,152,155,157,159,162,163,164,165,166,167,168,169,168,169,169,84,93,108,118,124,130,134,139,142,144,145,148,150,155,162,156,144,150,159,152,158,168,169,169,171,171,171,171,85,93,110,119,125,130,135,140,143,145,158,161,149,150,180,161,117,96,135,121,106,159,172,170,172,172,172,172,86,96,111,120,127,132,136,140,150,152,151,170,165,127,141,150,105,72,101,112,82,130,174,172,173,174,174,173,86,98,113,121,128,133,137,142,172,170,146,131,133,110,100,132,97,68,112,115,75,117,175,173,174,175,175,175,87,100,115,122,129,134,137,153,184,179,157,125,88,82,93,149,107,83,137,107,64,124,177,175,176,177,177,178,88,102,116,123,130,134,137,167,168,151,149,106,74,69,84,139,121,140,146,112,72,137,177,176,177,178,179,179,89,104,117,123,130,135,138,174,152,135,143,88,64,73,67,108,138,154,137,132,108,133,176,178,178,179,180,181,91,105,118,124,131,136,142,184,161,144,133,92,56,100,124,136,140,132,128,147,132,117,145,180,181,180,181,181,93,108,119,126,131,135,150,186,152,128,116,89,46,101,132,124,118,97,123,158,152,138,112,149,182,181,182,183,94,110,120,126,132,135,158,181,143,116,97,70,44,51,78,86,81,83,122,151,162,149,120,104,160,183,184,184,96,111,120,127,133,135,174,187,153,127,108,84,60,49,58,67,104,157,162,159,154,139,127,99,120,183,184,185,97,112,121,128,134,137,187,187,156,139,114,87,71,71,102,143,173,184,171,157,139,115,111,95,120,185,185,187,98,113,121,128,134,140,197,190,170,146,115,97,84,98,153,181,189,188,171,148,127,101,92,91,152,186,187,187,98,114,122,128,133,143,204,194,173,143,117,108,95,131,174,182,189,183,162,137,115,94,82,111,181,186,187,188,101,114,123,129,134,143,201,194,169,142,127,123,114,151,175,179,183,174,150,127,107,89,82,153,188,187,188,189,103,116,123,130,136,144,198,192,168,153,147,136,134,161,173,179,172,157,137,116,100,83,110,182,187,188,189,190,103,116,123,130,136,143,189,191,178,167,157,140,142,163,170,170,156,140,124,106,91,84,157,189,188,189,190,191,105,116,122,131,137,140,176,195,188,175,157,137,128,149,157,153,140,126,113,98,82,118,184,189,189,190,192,192,107,117,122,131,138,141,165,193,180,169,153,131,119,136,145,141,127,114,103,88,90,166,189,191,191,192,192,193,108,118,123,131,138,142,156,188,170,155,143,125,124,134,143,139,123,107,95,81,136,187,189,191,192,193,193,193,110,117,124,132,139,143,151,179,159,148,137,129,139,131,131,132,115,98,83,98,177,190,190,191,193,194,194,194,111,118,126,133,139,144,152,180,161,154,144,146,148,130,119,121,107,91,78,141,189,189,189,191,194,194,195,195,110,118,126,134,140,146,175,178,172,159,151,148,139,125,110,110,101,88,80,165,190,189,190,193,194,194,195,196,112,118,126,134,138,162,187,175,156,154,154,145,129,118,103,99,92,83,77,167,191,190,192,194,195,195,195,196,113,118,127,134,145,187,183,183,161,120,139,136,123,112,92,90,87,79,77,167,190,192,193,194,195,196,196,197,114,119,128,134,163,190,179,181,185,142,100,116,117,107,85,86,84,75,73,164,190,193,194,195,196,196,196,197
7,179,181,184,187,189,189,191,192,192,193,192,192,193,192,191,190,191,188,189,188,185,184,185,182,179,180,179,177,181,183,185,189,192,193,194,194,193,194,193,194,192,191,192,192,191,189,190,188,188,186,185,183,182,181,180,178,181,184,188,191,192,194,196,195,197,197,195,195,195,194,193,194,193,192,191,188,189,188,187,185,185,184,182,180,185,186,189,191,194,195,197,197,198,198,198,197,197,197,196,195,193,193,193,192,192,190,189,187,187,184,184,182,186,188,191,193,196,196,196,198,198,198,198,198,198,196,197,198,196,196,194,192,191,191,191,188,187,186,186,184,186,191,193,194,196,197,198,198,198,198,199,199,199,198,197,196,199,198,197,197,196,192,189,191,189,189,188,183,189,191,193,198,198,198,199,201,200,200,201,201,201,202,203,201,199,195,189,184,162,174,192,175,192,190,188,187,191,192,193,198,199,201,202,206,206,207,204,197,193,184,175,172,173,162,154,155,130,175,200,142,186,189,192,189,191,193,197,197,199,203,200,190,180,182,180,170,155,137,128,146,167,162,144,135,123,130,148,124,183,189,172,192,192,196,196,199,203,194,180,156,147,145,142,151,145,140,122,117,124,107,114,121,117,116,131,143,203,202,119,188,195,198,198,199,197,185,167,153,153,144,130,132,142,138,112,106,100,131,155,174,150,147,144,144,148,140,129,195,194,197,194,186,175,170,169,166,150,108,102,128,154,149,133,128,116,135,153,157,136,120,102,95,105,143,189,197,193,188,181,175,172,171,162,165,148,91,95,110,119,116,113,119,105,100,113,96,91,96,130,167,192,203,197,196,185,181,177,177,177,162,152,152,150,125,84,65,54,53,55,70,71,83,107,137,169,194,209,206,201,197,197,196,183,180,176,170,162,156,154,153,158,148,100,60,33,67,129,135,158,179,207,216,211,206,201,200,199,199,199,197,180,173,165,159,154,150,147,147,144,124,97,67,53,69,193,228,216,215,209,205,205,205,204,203,202,201,199,198,175,164,157,148,142,137,132,127,125,114,84,56,59,57,51,189,217,209,210,207,207,205,206,205,204,202,202,200,163,165,148,145,132,131,127,122,121,116,87,50,53,78,46,92,227,210,211,210,209,207,206,205,204,203,203,202,56,129,152,144,136,130,127,129,131,129,90,49,44,68,63,90,223,213,213,212,211,210,209,207,204,204,204,201,19,29,118,153,142,135,125,117,115,103,78,58,52,41,32,125,230,213,215,212,211,211,210,208,206,205,205,203,24,14,26,126,149,137,127,112,98,84,71,67,63,44,37,64,213,219,215,213,213,212,210,208,207,206,205,204,17,19,6,41,129,120,110,99,91,76,68,66,66,52,37,70,215,218,216,215,214,213,212,210,208,207,205,204,14,10,12,7,58,96,82,67,65,37,40,62,54,69,143,185,224,215,214,215,214,213,213,211,210,209,206,205,8,6,9,11,0,11,63,118,33,24,36,48,65,187,238,223,220,219,217,215,216,213,213,212,211,209,207,206,0,1,7,16,0,9,186,193,23,33,47,101,196,230,219,221,220,220,219,215,217,215,213,213,212,210,209,207,0,0,16,3,26,196,233,220,153,145,186,227,228,220,222,221,220,220,220,216,214,216,214,213,213,211,211,206,32,14,1,36,207,225,217,221,231,232,229,220,219,221,221,221,221,220,219,215,215,214,214,213,212,211,208,205,14,10,0,120,235,213,221,221,219,220,220,221,220,221,221,221,221,220,219,216,215,214,213,213,211,211,209,206
16,148,160,167,172,178,185,191,197,201,205,208,213,218,220,224,227,229,230,231,233,234,234,235,236,237,237,238,238,152,164,172,175,181,188,195,202,205,208,212,217,221,225,228,232,233,233,238,240,239,240,239,241,241,240,241,241,155,168,174,178,184,193,199,205,210,213,217,221,225,229,232,236,238,235,231,228,232,240,246,245,243,245,246,245,157,170,176,181,188,195,202,208,212,216,219,222,227,232,236,232,219,208,194,175,168,169,192,236,250,248,249,250,160,174,179,183,190,198,206,213,216,221,226,228,230,225,213,200,194,199,186,165,154,143,123,142,222,252,251,251,163,175,180,186,193,201,208,216,217,220,220,212,204,197,192,195,188,180,172,146,144,147,122,107,133,242,255,255,164,177,182,186,196,204,211,214,230,223,203,177,186,187,197,182,171,174,152,128,128,129,116,116,105,198,255,255,167,179,185,190,199,206,213,229,255,236,238,179,197,217,200,163,172,158,138,123,121,117,113,115,106,173,255,255,170,180,186,192,202,209,216,237,229,235,234,191,232,235,159,156,154,127,125,116,112,111,116,118,107,194,255,255,174,184,189,196,204,210,220,215,221,245,215,207,255,226,161,151,130,115,114,112,111,108,113,117,115,228,255,255,176,187,192,197,205,212,221,219,230,252,229,224,249,205,188,168,136,111,107,111,112,111,112,108,147,255,255,255,177,189,194,198,207,216,223,227,229,247,241,225,244,220,196,162,132,111,105,108,113,114,113,105,186,255,255,255,179,191,194,201,210,220,226,231,225,247,242,237,240,213,171,134,116,102,106,112,115,115,112,111,225,255,255,255,183,191,194,202,212,221,228,235,231,245,248,245,219,183,137,112,89,84,110,121,116,116,111,122,254,255,255,255,185,194,197,204,213,222,230,235,238,245,250,231,190,147,111,66,47,91,116,124,118,116,105,140,255,255,255,255,189,197,199,207,217,225,231,237,241,237,233,199,158,130,65,29,43,93,119,134,130,121,97,161,255,255,255,255,190,197,202,210,219,226,232,238,243,227,207,168,140,104,39,37,42,77,114,136,140,121,93,184,255,255,255,255,190,200,203,210,221,227,234,240,246,231,185,145,123,84,54,44,60,61,102,145,141,116,98,199,255,255,255,255,193,199,204,212,223,229,236,241,249,226,162,114,100,102,97,77,76,84,118,154,130,119,101,210,255,255,255,255,197,201,205,214,224,230,238,242,248,219,139,135,115,90,100,95,94,138,141,159,124,119,102,227,255,255,255,255,198,202,206,216,226,233,237,248,239,189,116,249,255,178,143,117,157,159,154,155,118,117,102,234,255,255,255,255,197,201,207,217,225,232,235,233,215,130,175,255,255,255,236,196,167,161,176,154,112,115,97,224,255,255,255,255,197,201,207,217,226,232,231,221,165,123,255,255,255,248,226,194,159,181,191,158,111,111,96,196,255,255,255,255,197,202,208,217,225,239,246,198,111,215,255,255,255,249,221,195,161,192,199,161,113,107,108,121,166,144,179,228,197,202,209,214,236,255,212,119,177,255,255,255,255,247,216,193,161,189,208,169,105,110,113,94,73,75,148,174,199,202,208,212,255,213,138,190,255,253,255,255,255,243,220,195,161,166,210,186,109,110,110,101,74,114,110,99,198,203,209,218,232,194,224,255,250,255,255,255,252,240,218,193,163,145,195,201,126,107,108,92,40,86,106,94,198,204,211,221,228,243,246,245,252,255,255,255,249,238,219,187,158,145,154,189,148,109,109,78,35,70,106,86
16,111,120,127,132,137,143,149,154,158,161,164,168,172,175,178,181,182,183,185,186,187,188,188,189,190,190,190,190,114,124,130,134,139,146,152,158,161,164,167,172,175,178,181,184,186,186,189,190,190,192,192,193,193,192,193,193,117,127,133,137,142,149,155,161,164,167,171,175,178,182,185,187,188,186,182,179,181,187,192,196,196,196,197,197,119,129,134,139,146,152,158,163,167,171,174,177,180,184,186,182,173,164,152,138,131,133,150,181,197,199,200,200,122,132,137,142,147,154,161,167,170,174,178,180,180,176,168,159,153,154,143,125,115,107,95,112,169,199,202,203,124,133,138,144,150,157,164,169,173,175,173,165,160,155,152,151,145,139,129,110,106,105,86,79,106,185,206,206,125,135,140,144,152,160,166,171,183,176,162,141,145,148,152,140,132,131,114,94,92,92,82,78,81,154,207,208,128,137,142,147,155,162,168,182,200,187,183,143,155,167,152,127,128,117,101,88,85,82,79,79,79,137,206,210,130,138,144,149,157,164,172,185,185,187,182,155,182,179,128,117,112,94,89,82,78,77,80,81,81,151,209,213,133,142,146,152,160,166,173,172,179,192,174,167,198,177,128,113,96,82,79,78,76,75,78,81,89,177,213,215,136,144,149,154,161,167,174,175,184,198,184,179,196,165,145,125,98,79,74,76,77,76,77,78,114,199,216,217,137,146,150,155,163,170,177,180,183,196,192,181,192,173,150,121,95,77,71,74,78,79,77,79,144,212,220,220,138,147,151,157,165,173,179,183,181,196,194,191,188,165,130,99,81,69,72,77,80,80,77,85,174,219,220,221,141,148,151,159,167,175,181,186,186,196,198,194,172,140,102,75,57,56,74,84,81,80,78,95,197,221,221,222,143,150,154,160,168,176,183,187,190,196,198,182,147,111,74,38,26,57,79,88,84,80,75,109,211,223,223,224,146,153,156,163,171,178,184,189,192,190,183,155,120,90,38,9,18,57,82,95,93,83,72,125,219,223,223,223,147,153,158,165,173,179,185,190,193,181,161,129,102,68,19,10,18,46,78,98,100,83,71,142,225,226,225,225,148,155,159,166,175,180,187,192,196,181,143,108,85,55,29,19,30,37,71,104,101,81,74,154,227,227,227,227,151,155,160,167,176,182,189,193,198,176,123,86,70,65,59,46,46,56,83,110,95,82,77,164,229,228,229,229,153,157,161,169,177,183,190,194,196,168,108,103,87,68,69,64,67,96,103,115,90,82,79,177,232,230,230,231,154,158,162,170,179,185,190,196,187,143,100,186,191,140,108,90,111,118,116,113,86,80,79,182,233,230,231,231,154,157,163,171,178,185,188,185,162,107,139,212,213,202,180,147,127,124,131,114,81,77,75,174,235,233,233,233,154,157,163,171,179,185,185,170,126,105,193,213,212,201,180,151,125,138,144,118,80,74,73,150,229,227,224,224,154,158,163,171,180,193,190,148,98,164,211,213,210,199,175,151,126,147,151,121,81,73,75,90,124,116,142,177,154,158,164,171,189,206,162,105,138,201,209,212,208,197,172,149,125,145,158,128,77,75,76,64,52,58,107,128,155,158,163,171,200,168,121,149,197,205,209,210,205,194,173,150,124,129,158,140,81,75,75,65,45,72,76,72,155,159,165,173,183,159,174,197,202,206,209,211,203,192,172,149,124,113,147,150,94,75,72,56,22,54,68,63,155,159,166,175,182,189,195,198,202,206,209,212,200,190,172,145,119,109,119,142,108,78,72,47,15,40,68,56
11,108,113,118,121,125,127,130,133,134,137,139,140,141,144,146,147,148,149,151,152,152,153,153,154,154,153,153,153,109,115,120,123,127,128,131,133,136,138,140,142,144,146,147,148,149,150,151,153,154,155,155,155,154,154,155,155,110,115,121,125,127,130,132,135,137,139,141,144,146,147,149,148,153,154,153,155,156,156,156,156,155,155,156,155,111,116,121,125,129,131,133,136,138,139,142,145,147,148,149,150,136,150,155,156,156,156,156,157,157,157,157,157,112,116,121,125,129,131,133,136,140,142,144,146,148,149,149,158,111,113,162,155,157,157,158,159,159,158,157,157,111,116,122,126,129,132,134,137,140,144,146,147,148,150,149,165,114,101,163,156,159,159,159,159,159,158,158,158,113,117,122,127,131,132,135,137,140,144,146,148,149,151,151,169,96,112,165,157,159,160,160,160,160,159,159,159,114,119,123,127,132,133,135,138,141,144,147,148,150,149,158,167,90,128,165,159,161,161,161,161,161,160,160,160,114,119,125,128,131,134,136,139,141,143,146,148,149,150,169,144,86,142,163,160,161,161,162,161,160,161,161,161,114,120,125,129,132,134,137,139,142,144,147,148,148,149,168,105,88,158,161,160,161,161,161,161,161,162,161,161,114,120,124,129,134,135,137,140,145,145,143,155,165,112,108,90,104,166,158,160,161,161,162,162,161,162,162,160,115,119,124,129,132,135,142,140,131,161,141,112,140,111,79,78,136,165,159,162,162,162,162,162,162,162,162,162,115,120,126,128,139,168,168,148,87,127,140,83,112,107,72,74,157,161,160,163,163,163,163,163,163,162,162,162,115,120,124,133,163,141,154,150,86,117,121,81,135,102,58,93,168,159,161,162,163,163,164,164,165,164,163,161,116,121,122,145,142,117,133,145,84,116,103,89,133,87,51,112,169,159,162,162,162,164,164,164,164,164,164,162,116,122,126,161,133,98,110,132,76,105,86,97,116,75,51,124,168,159,161,162,165,166,166,164,163,165,164,162,118,118,141,167,134,103,110,95,72,100,69,103,103,64,44,128,171,161,163,161,157,152,155,167,168,165,164,164,118,117,162,160,131,108,96,84,86,92,52,125,85,48,56,100,159,156,152,147,140,133,117,119,156,169,164,164,117,122,175,153,129,112,93,75,107,79,37,90,77,83,106,105,129,147,153,147,133,114,107,97,91,161,166,165,116,125,169,153,137,121,99,89,100,105,117,124,136,137,127,133,145,135,118,109,105,121,140,131,113,158,167,165,116,123,162,155,143,128,106,106,130,152,144,141,139,135,120,115,112,93,114,144,161,170,170,169,169,167,166,165,116,123,173,158,143,128,107,113,142,147,132,139,134,123,94,83,101,143,170,169,166,164,165,166,166,167,167,166,114,132,180,145,133,115,106,114,134,133,133,130,115,84,75,123,163,168,164,165,165,166,167,168,167,167,167,167,110,144,160,123,121,113,113,117,117,122,123,102,71,86,144,166,162,162,164,165,165,166,167,167,166,167,168,166,108,151,155,126,120,129,119,120,107,106,96,67,108,158,160,156,160,161,162,162,162,164,165,165,165,163,164,165,112,162,161,126,120,144,124,113,96,86,69,119,161,155,155,157,159,160,160,161,162,162,163,164,165,177,181,184,118,168,163,121,121,145,121,102,85,62,103,158,150,154,155,156,158,159,160,161,162,162,164,163,184,193,192,180,117,169,163,117,123,142,119,102,73,62,140,149,150,153,154,155,158,158,160,161,162,163,163,163,156,131,167,179
1,148,151,155,157,160,161,161,163,164,164,165,165,165,167,166,165,166,166,166,167,167,167,167,166,165,166,165,163,152,154,157,160,163,164,165,166,167,168,168,171,162,154,169,169,169,169,169,168,169,170,170,169,168,167,167,166,155,158,161,164,165,167,168,169,170,171,168,177,166,114,169,174,173,173,172,172,172,173,173,173,172,171,170,169,158,161,164,167,169,171,171,172,172,186,171,144,170,101,143,153,174,177,176,176,176,176,176,176,175,175,174,173,160,164,166,170,172,174,174,177,176,194,171,126,170,102,104,116,147,182,179,178,179,179,179,178,177,178,177,175,162,166,170,173,175,176,177,179,179,196,177,126,175,124,106,128,115,182,181,181,182,182,182,180,179,179,179,178,165,169,173,175,177,180,181,183,178,186,191,128,172,144,105,139,104,169,184,185,185,184,185,184,183,182,181,181,169,172,175,178,179,182,183,190,181,137,194,135,153,152,112,153,125,148,189,187,187,187,187,187,186,185,184,182,172,175,178,181,183,186,186,197,182,116,189,143,136,160,128,165,155,128,186,189,189,190,189,188,188,187,186,184,175,178,180,183,185,188,187,198,185,119,186,153,137,178,146,148,173,126,170,194,193,192,191,190,190,189,188,186,177,179,182,184,187,189,190,201,195,127,188,179,136,181,153,129,187,147,146,197,194,195,195,194,193,191,190,189,179,181,184,186,190,191,192,204,197,129,176,187,126,153,153,118,192,167,130,192,197,197,196,196,195,194,193,192,181,184,186,189,193,194,193,203,200,144,142,180,108,135,159,113,178,172,126,177,201,199,198,198,197,197,195,194,184,186,188,192,194,195,196,205,209,154,113,178,151,155,161,166,183,147,126,152,203,200,200,200,199,198,197,195,184,187,190,193,195,197,199,205,209,148,120,165,191,164,156,196,180,135,131,118,195,203,202,201,200,199,199,197,184,188,191,194,196,199,200,205,207,174,173,143,170,168,175,204,165,135,134,108,167,206,205,203,202,201,200,200,185,189,192,194,198,201,201,207,211,190,177,139,145,182,211,204,187,159,125,107,132,207,207,206,204,203,202,202,186,190,194,196,198,201,202,213,212,175,161,141,162,201,203,172,183,198,171,126,108,200,208,207,206,205,205,204,187,191,195,198,200,202,202,216,219,169,147,155,176,166,150,125,170,218,206,167,120,180,211,209,208,208,207,205,187,191,194,197,201,201,202,214,230,184,143,142,135,131,131,173,194,206,203,167,129,143,212,210,210,208,207,206,187,191,193,195,200,201,201,208,230,203,146,148,156,175,204,223,219,204,188,154,110,135,212,210,209,209,208,207,187,191,194,196,200,201,201,206,228,222,164,156,169,182,222,230,225,203,177,145,99,141,213,209,209,209,208,207,189,192,194,197,200,201,203,205,225,235,188,164,180,175,219,237,229,203,168,136,96,154,213,211,211,210,209,208,189,192,194,197,200,201,203,204,218,234,206,176,197,169,207,238,228,196,158,125,94,167,215,212,212,210,209,209,189,193,194,197,200,202,204,206,210,226,217,192,205,174,188,233,218,185,151,117,92,175,216,213,213,211,209,208,183,188,192,195,198,201,202,205,205,216,223,208,200,180,164,220,211,179,143,111,92,186,217,214,213,212,212,211,120,124,128,133,137,140,143,146,147,179,226,216,193,173,151,190,199,166,130,105,100,181,199,207,213,216,213,210,98,97,98,99,100,101,103,103,100,135,217,204,182,164,144,164,182,153,119,102,100,119,157,204,205,203,217,209
5,182,183,183,183,185,185,184,184,183,182,182,183,181,179,178,177,175,173,171,170,169,168,167,164,162,163,161,160,189,188,188,188,189,189,187,188,189,186,185,185,184,182,182,181,179,177,175,173,173,172,169,166,164,164,163,163,194,194,195,193,192,194,193,193,193,193,191,190,189,189,182,185,182,176,181,176,174,175,173,170,168,167,164,161,197,197,197,197,195,200,199,198,196,197,195,194,191,186,188,211,133,146,192,180,178,176,175,173,171,168,167,163,201,201,203,201,206,187,198,204,200,200,198,195,200,191,169,121,87,173,189,183,183,182,179,176,175,172,171,167,205,207,210,204,234,147,153,219,205,204,200,215,203,132,100,133,181,195,190,188,186,186,183,180,179,176,173,171,212,211,213,210,229,118,151,224,210,201,211,206,125,111,201,214,207,200,195,195,197,191,186,185,183,180,176,175,216,215,215,217,209,112,184,225,205,182,172,115,119,180,142,143,143,144,143,138,168,188,192,190,187,183,181,180,220,220,220,221,187,117,211,226,205,152,103,111,210,110,89,105,132,150,152,149,145,171,138,184,192,187,185,184,224,224,225,225,205,117,187,234,197,139,101,131,150,96,104,95,105,106,92,108,118,116,122,194,192,190,187,185,227,228,227,229,212,118,168,243,183,135,105,101,115,115,81,60,55,53,58,67,71,75,164,202,198,193,190,189,230,231,232,230,202,136,113,227,183,120,79,79,96,89,59,66,80,74,95,96,128,151,137,119,191,202,193,192,233,236,235,238,190,154,144,144,146,122,97,77,69,47,59,92,65,104,154,160,185,157,144,134,131,195,198,194,237,236,238,240,234,178,176,157,120,128,109,75,73,59,63,63,114,223,230,226,219,186,192,183,127,198,201,198,239,239,240,239,244,225,178,197,189,145,92,66,58,74,56,142,233,225,219,222,184,181,191,125,167,213,199,200,241,242,242,244,242,249,216,204,205,166,115,59,61,52,95,251,232,224,231,201,154,189,147,117,215,209,206,203,244,243,245,246,245,247,242,200,214,181,128,64,62,56,109,207,221,243,216,177,168,162,80,177,224,210,210,207,245,246,246,247,248,249,247,212,220,192,139,78,62,87,84,105,136,174,163,169,163,91,137,227,216,215,212,209,246,247,248,248,249,249,250,206,226,205,145,91,64,86,90,109,139,117,134,164,104,133,235,221,218,217,214,211,247,248,250,250,249,250,253,206,230,204,146,112,69,78,91,107,135,139,111,103,116,234,228,223,221,218,215,212,252,250,252,254,252,253,253,208,234,203,154,128,77,71,94,115,130,122,80,76,222,236,228,227,223,221,218,215,254,254,255,255,255,255,252,212,227,200,162,129,82,65,97,112,118,91,67,207,243,232,231,229,227,222,220,217,255,255,255,255,255,255,254,213,212,191,159,130,85,63,93,97,98,50,148,255,233,236,233,232,230,226,222,219,255,255,255,255,255,255,255,212,207,190,155,130,84,66,86,94,71,74,239,243,240,238,236,234,232,227,223,221,255,255,255,255,255,255,249,215,211,187,155,126,83,67,80,70,51,199,255,241,243,239,238,236,232,228,226,223,255,255,255,255,255,255,244,224,215,192,164,116,75,66,53,56,193,255,244,246,244,240,238,237,233,230,228,224,255,255,255,255,255,255,238,223,211,196,156,99,68,51,100,229,255,250,248,247,246,243,239,238,235,231,229,227,255,255,255,255,255,253,223,200,205,185,138,84,65,65,238,255,245,251,248,245,244,241,238,236,235,232,229,228
20,136,140,142,146,147,150,152,153,154,155,157,157,157,156,160,160,158,160,160,160,160,161,161,160,161,160,159,158,140,143,147,150,151,153,155,156,159,160,161,161,159,173,141,149,166,162,162,163,163,164,164,163,165,164,162,161,143,146,150,152,154,157,159,161,162,162,163,164,164,195,123,118,165,166,165,166,166,166,168,167,167,166,165,163,146,149,153,155,158,161,162,163,165,166,167,167,171,196,126,107,136,137,176,169,170,169,170,170,169,169,167,166,149,153,157,159,161,163,165,167,168,169,170,171,174,193,123,127,156,106,178,172,172,172,172,173,172,172,170,170,153,155,159,162,164,166,168,169,171,171,173,173,177,195,127,140,168,100,170,178,175,175,176,176,176,174,173,173,154,158,161,164,168,169,171,173,174,175,176,174,181,199,132,140,180,103,165,183,178,178,179,178,177,177,176,175,156,160,163,167,170,172,174,175,176,177,179,175,188,197,132,140,191,111,156,187,180,181,182,181,181,181,180,178,159,162,165,168,171,174,176,179,180,181,181,178,196,200,136,146,192,118,145,191,182,184,184,183,183,184,182,181,161,164,168,171,174,177,179,181,183,184,182,156,186,213,134,151,202,126,138,195,184,187,187,187,187,186,184,183,163,166,169,173,176,179,182,182,177,190,204,158,143,165,116,138,206,133,137,197,186,189,189,189,188,187,187,185,165,169,172,175,178,182,183,188,178,161,202,183,121,100,86,123,179,133,134,198,189,192,191,190,190,190,189,188,167,171,175,177,180,184,184,195,203,157,159,183,146,140,114,111,146,129,130,201,191,193,193,193,192,192,191,189,168,172,175,180,182,186,188,186,183,161,129,173,164,176,160,105,106,119,121,200,192,194,194,193,194,193,192,193,171,174,178,181,184,188,190,184,154,158,115,183,165,169,165,113,82,91,117,202,193,196,196,195,196,195,194,194,172,176,180,182,185,189,190,191,184,159,134,137,125,95,166,140,94,72,110,202,196,198,199,199,198,196,195,195,172,176,180,184,187,191,191,200,178,130,98,70,72,59,145,173,119,78,93,201,200,200,200,200,199,199,197,196,174,178,181,185,188,192,194,200,180,146,113,97,96,100,164,200,148,100,85,192,203,200,201,202,200,200,200,199,176,179,182,186,189,192,193,201,195,151,120,112,125,170,212,191,151,119,89,188,206,201,202,203,203,202,201,201,176,180,183,187,190,194,194,203,198,161,130,132,144,199,211,180,137,109,93,198,205,202,203,204,203,202,202,201,176,182,185,188,192,195,193,203,206,177,152,140,150,207,196,166,126,93,99,205,205,204,205,206,205,204,203,203,178,182,187,190,194,195,194,202,211,185,155,150,155,208,189,152,119,91,102,207,206,207,208,207,206,206,205,203,178,182,187,190,194,196,196,197,205,182,167,172,156,204,184,140,109,88,112,210,206,208,208,208,207,207,206,204,178,182,186,189,193,195,196,195,190,184,168,173,150,195,169,132,103,81,124,215,205,207,207,208,208,208,207,205,178,182,187,191,193,195,196,196,193,184,168,170,137,173,149,117,104,79,144,215,204,206,207,208,208,207,207,206,180,183,187,190,192,195,196,196,198,188,161,149,118,153,132,113,105,86,185,211,206,207,208,208,208,207,207,206,179,184,187,190,192,195,197,194,200,189,163,135,124,160,123,121,91,126,213,207,208,208,209,209,208,208,208,207,180,184,188,190,193,194,198,193,202,198,175,153,148,159,114,116,82,178,211,207,208,209,211,209,209,209,208,207
23,119,121,123,127,129,132,134,135,137,138,139,140,141,141,142,143,142,142,141,140,142,141,140,140,140,140,138,136,120,122,124,127,129,132,134,136,138,138,140,141,141,142,143,143,143,143,143,143,142,141,141,141,141,141,140,138,121,122,125,127,130,134,135,137,138,139,141,142,143,144,145,144,144,143,144,144,144,143,143,142,142,140,141,140,122,123,126,129,132,134,136,138,139,140,143,142,142,142,139,146,147,145,145,145,146,145,144,144,142,142,142,141,123,123,128,130,134,135,138,140,140,139,139,147,157,154,125,107,138,147,147,147,146,146,145,144,143,142,143,142,123,124,129,132,133,136,138,140,139,146,163,160,157,148,135,124,124,106,147,148,146,146,146,146,145,144,143,143,124,125,128,131,133,136,139,142,139,159,159,126,128,102,106,120,100,106,149,147,147,147,147,146,145,144,144,144,124,126,129,132,135,138,140,143,141,158,143,117,76,108,147,142,138,150,149,148,148,148,148,147,147,147,145,144,124,127,130,133,136,139,141,144,141,161,145,132,67,124,157,153,154,151,151,151,150,150,148,147,148,147,146,145,125,127,131,134,138,139,141,144,143,162,147,133,86,134,154,114,145,152,151,151,150,150,149,149,149,148,148,146,126,128,131,134,138,140,142,145,143,167,154,159,169,170,159,78,112,161,150,151,151,152,151,151,150,149,149,148,127,130,133,135,138,141,143,143,147,171,177,179,163,155,121,80,100,163,155,153,153,153,152,151,151,150,150,150,127,130,134,136,139,141,142,154,165,171,174,168,160,151,83,103,124,99,142,154,156,154,154,154,152,151,152,150,128,130,133,137,140,140,166,173,168,171,175,169,158,131,75,96,123,69,72,94,124,159,154,154,153,153,152,151,129,131,134,139,141,144,174,162,156,161,161,149,152,113,70,69,98,81,74,83,79,149,158,155,155,155,153,152,129,131,135,140,140,148,172,158,165,174,169,163,146,106,78,64,70,84,81,89,86,144,160,155,156,155,154,154,128,131,135,140,141,140,180,178,177,171,154,139,121,92,83,76,47,65,83,88,90,147,160,156,157,156,155,154,129,131,136,140,143,141,181,177,157,128,102,95,86,89,92,68,33,62,86,92,94,152,160,157,158,157,156,156,131,132,136,140,143,140,172,160,138,105,87,57,68,100,91,55,56,71,86,93,93,154,161,159,158,158,157,157,129,133,137,141,144,139,162,160,130,92,74,51,85,78,57,56,72,81,81,91,100,160,160,160,160,160,158,157,131,134,138,142,147,136,161,158,124,99,84,65,50,42,58,70,81,88,86,89,136,165,160,160,161,161,158,157,130,133,138,141,147,136,158,158,130,106,87,82,59,55,80,91,95,98,87,114,168,162,162,162,162,161,159,158,130,133,139,141,148,132,157,163,134,109,92,90,77,68,92,98,100,99,88,134,170,163,164,163,163,162,161,160,131,134,139,142,148,134,152,161,132,113,96,92,83,72,91,98,98,95,93,152,167,164,164,164,163,163,162,161,132,134,139,143,148,137,148,158,129,114,98,93,86,78,90,95,100,91,116,169,165,164,165,165,164,163,161,162,131,134,140,143,149,142,147,153,129,112,97,90,88,86,92,97,93,106,159,168,166,165,165,165,165,164,162,162,131,135,140,144,149,144,147,149,121,106,94,91,92,90,90,94,108,160,169,167,167,168,167,166,165,164,163,162,131,134,140,143,148,144,150,152,120,103,94,93,93,93,93,91,146,170,165,167,167,167,167,167,165,164,163,163
6,179,181,183,185,187,187,188,189,189,189,189,188,187,186,185,185,183,182,180,179,178,177,174,173,171,169,168,166,180,182,185,187,188,189,189,190,191,191,189,189,188,187,187,186,186,184,181,181,180,179,177,174,173,171,169,168,182,185,188,188,189,190,192,193,193,193,191,190,191,189,188,187,187,185,184,182,181,180,179,176,174,172,170,169,183,186,189,190,191,192,193,194,194,194,193,192,191,191,189,188,187,187,186,185,183,181,179,178,176,174,173,172,185,188,190,191,192,194,194,194,195,195,194,193,193,192,192,190,189,188,187,186,184,182,181,179,177,175,174,172,184,188,190,192,194,195,195,195,195,195,195,195,195,194,192,192,190,189,187,187,186,184,183,182,178,175,175,173,185,188,191,193,195,195,195,195,195,196,196,195,196,195,194,194,192,190,189,186,185,184,183,178,174,172,171,171,186,189,191,194,195,195,195,197,197,196,197,196,196,195,192,188,179,167,153,139,128,135,137,128,120,132,151,140,187,191,193,194,195,196,196,197,197,194,183,170,158,154,149,144,137,130,120,112,102,113,111,114,113,116,129,116,188,190,193,195,195,191,181,170,162,153,139,130,123,126,128,133,130,124,108,103,97,95,95,98,95,97,116,146,189,191,189,181,169,149,139,137,135,131,126,112,95,96,99,98,98,97,99,108,121,138,148,158,163,170,177,178,171,157,148,147,146,139,136,136,134,133,131,119,84,66,61,101,141,165,181,188,192,190,189,187,186,183,181,179,152,146,147,149,148,144,142,143,143,142,137,122,85,71,70,147,184,197,197,196,193,191,190,189,187,184,182,180,153,150,147,146,143,141,138,135,136,138,126,99,74,74,79,79,89,124,172,195,194,193,191,189,187,184,182,181,155,151,147,144,141,136,131,127,123,121,109,86,72,75,81,83,82,75,79,143,195,194,191,189,187,185,184,182,153,148,144,140,137,131,128,124,122,128,122,94,66,60,73,85,87,84,77,91,193,194,193,192,188,187,185,182,146,141,138,132,129,125,123,118,121,130,129,98,69,62,56,54,64,78,76,119,196,196,193,192,189,187,186,184,142,137,129,123,122,119,116,108,110,115,103,80,72,75,75,66,52,68,134,189,198,197,194,193,190,188,186,185,130,129,123,116,113,110,106,98,96,99,85,65,65,74,77,73,67,84,193,199,198,196,194,193,191,189,187,186,120,126,122,115,109,106,103,101,103,105,87,59,49,60,72,76,70,72,186,199,197,196,194,193,192,190,187,185,106,116,119,117,110,101,98,101,108,102,82,65,67,67,57,63,82,134,199,200,199,198,196,194,192,190,187,186,73,91,107,112,106,100,97,97,95,86,76,72,71,68,63,104,185,201,202,201,200,197,196,194,192,190,187,187,26,93,128,110,91,94,97,103,105,119,134,131,103,83,101,176,204,203,203,201,200,198,196,194,193,192,189,186,18,157,198,194,184,189,194,199,202,205,206,207,203,195,202,204,203,203,202,200,199,197,195,193,192,191,189,186,61,188,197,199,200,202,203,204,205,206,205,206,206,205,205,203,202,201,201,200,197,195,194,192,190,189,187,185,145,195,197,198,200,201,202,205,206,206,206,206,206,205,204,203,202,201,200,199,197,195,193,192,190,188,187,185,190,194,196,199,200,202,203,205,206,206,206,206,206,206,205,203,202,201,200,199,197,195,194,192,190,187,186,185,189,194,197,198,200,202,203,204,205,205,206,205,206,206,205,204,201,200,199,199,197,195,193,190,190,187,185,184
1,131,134,136,138,142,146,148,148,149,150,152,153,154,156,156,156,156,156,161,158,159,159,159,159,158,157,158,159,134,137,139,142,144,148,150,152,152,153,155,155,156,155,159,159,165,161,140,162,162,160,160,159,159,159,159,160,138,141,143,145,148,150,153,155,156,157,159,159,159,170,144,150,181,165,107,162,165,165,162,162,161,161,161,161,141,144,146,149,151,154,156,159,160,161,162,161,165,188,124,138,185,151,109,163,149,157,168,165,165,165,164,164,144,147,149,153,155,158,160,162,163,164,165,164,175,184,116,146,186,141,113,173,143,122,173,167,168,167,166,165,147,150,153,156,159,161,164,166,166,167,173,156,164,179,116,152,187,134,120,184,145,113,174,170,170,170,169,168,150,154,156,159,162,165,168,171,171,171,189,145,136,164,122,157,191,140,132,188,139,113,176,174,173,173,172,171,154,157,159,162,166,169,172,174,175,176,195,132,135,154,129,157,183,135,135,192,140,115,180,177,176,176,175,174,157,160,162,165,170,171,175,176,178,181,186,122,139,141,121,140,178,128,143,196,144,120,184,180,179,179,178,176,159,162,165,168,172,175,176,181,181,184,191,131,141,146,122,141,190,132,157,191,140,125,189,184,183,181,181,180,161,164,168,170,175,177,179,184,182,188,190,129,133,160,132,142,191,131,166,195,140,130,192,186,186,185,185,184,164,167,170,174,178,180,183,185,184,193,198,142,126,151,119,134,171,119,177,196,143,139,196,187,188,189,188,187,166,170,172,176,180,182,184,188,187,194,205,146,116,137,119,139,154,137,183,183,136,148,199,190,192,191,189,188,169,172,174,178,183,185,187,190,189,196,202,150,141,171,161,170,174,163,153,174,130,156,200,192,194,193,192,191,170,173,177,180,184,186,189,192,191,201,210,174,149,149,183,195,203,171,121,146,120,163,202,195,196,195,194,193,172,175,179,182,185,187,191,194,192,209,201,160,138,111,132,156,172,190,154,104,101,177,203,197,197,197,196,194,174,177,181,185,187,189,193,196,194,213,196,158,128,118,122,133,171,210,188,125,95,192,203,200,199,198,198,197,175,179,182,186,189,191,194,198,196,217,202,157,133,136,140,169,185,204,208,155,104,190,207,202,201,200,200,200,177,180,184,187,190,194,197,198,199,218,198,155,133,142,146,196,205,191,190,159,108,172,212,202,203,202,201,201,179,183,185,189,193,195,197,199,202,217,198,163,139,151,163,214,212,189,160,135,102,172,213,204,204,203,203,202,180,183,187,191,194,196,198,201,202,214,200,165,151,146,175,221,208,176,149,118,100,187,212,205,206,206,205,204,181,185,188,191,196,197,200,202,203,210,197,166,157,145,175,218,196,164,139,107,123,212,208,208,208,206,206,207,182,186,189,192,195,197,201,205,204,206,196,173,167,149,167,208,181,153,127,98,159,219,207,209,209,208,208,208,184,186,191,193,196,199,201,204,205,203,193,176,172,152,164,202,172,144,117,102,191,215,210,211,210,210,209,209,185,187,191,194,197,200,203,204,206,207,199,178,172,146,158,190,161,136,106,118,213,212,212,212,212,212,211,211,185,188,192,196,198,200,203,206,205,208,203,179,166,135,151,166,140,128,99,154,222,213,214,213,212,212,212,211,183,187,191,195,198,199,201,206,200,212,205,194,165,139,153,154,134,115,113,203,216,214,214,213,213,213,212,212,184,187,191,194,198,202,203,203,201,212,206,196,171,148,154,144,130,100,167,220,212,214,214,213,213,213,212,212
7,206,208,210,212,213,213,215,215,215,216,216,215,216,216,215,214,215,213,213,213,210,210,210,208,206,207,206,205,208,209,211,214,215,216,217,217,216,217,216,217,216,215,215,215,215,213,214,213,213,211,210,209,208,208,207,205,208,210,213,215,215,217,218,218,219,219,218,218,217,217,216,217,217,215,215,213,214,213,212,210,210,209,208,207,210,211,213,215,217,218,219,219,220,220,220,220,219,219,219,218,216,216,216,215,215,214,213,212,212,210,209,208,211,213,215,216,218,218,219,220,220,220,220,220,220,219,219,220,219,219,217,216,215,215,215,213,212,211,211,210,211,215,216,217,218,219,220,220,220,220,221,221,220,220,219,219,221,220,219,219,219,216,213,215,214,213,212,209,213,215,217,220,220,220,221,222,222,222,222,222,223,223,223,222,220,218,214,210,193,202,215,203,216,214,213,212,215,215,217,220,221,222,223,226,226,227,224,219,216,209,203,201,202,193,187,188,169,203,222,179,211,213,216,213,215,216,219,219,221,224,221,214,206,208,207,199,188,175,168,181,197,193,180,174,165,170,183,165,209,213,201,216,216,218,219,221,224,217,207,189,182,181,179,185,181,177,164,160,165,153,157,163,160,159,170,180,224,223,162,213,218,220,220,221,219,211,197,187,187,180,170,171,179,176,156,152,147,170,188,202,185,182,180,180,183,177,169,218,217,219,217,211,203,199,198,196,184,153,149,168,187,184,172,168,159,173,187,190,174,162,149,144,151,180,213,219,216,213,207,203,200,200,194,196,183,140,143,155,162,159,157,161,151,147,157,144,141,144,170,197,216,224,219,219,211,207,205,205,205,193,186,186,185,166,136,122,114,112,114,125,126,135,152,175,199,217,228,226,222,219,220,219,209,206,204,200,194,189,188,187,191,183,147,118,98,123,169,173,190,206,227,233,230,226,222,222,221,221,221,219,207,202,196,191,187,184,183,182,180,165,145,123,113,124,216,243,234,233,228,225,225,225,224,224,223,222,221,220,203,195,190,183,179,175,171,168,166,158,136,115,117,115,111,213,234,228,229,226,227,226,226,225,224,223,223,222,194,196,183,181,171,171,168,164,163,160,137,110,113,131,108,142,241,229,230,229,229,227,226,226,224,224,224,223,115,169,186,180,174,169,168,169,170,169,140,109,106,124,120,140,239,231,231,230,230,229,228,226,225,224,225,223,88,95,161,187,179,173,166,160,159,150,131,116,112,103,97,166,244,231,233,231,230,230,229,227,226,225,225,224,91,84,93,166,184,175,167,157,146,136,126,123,120,106,101,121,231,235,233,231,231,230,229,228,227,226,225,224,86,87,78,104,169,162,155,147,141,129,124,122,122,112,101,125,233,235,234,232,232,231,230,229,228,227,226,225,84,81,82,79,117,145,134,123,121,101,103,119,114,125,180,210,239,233,232,233,232,231,231,230,229,228,226,225,79,78,80,81,72,82,120,161,98,91,100,109,121,212,250,239,236,236,234,233,234,231,231,230,230,228,226,226,72,74,78,85,62,80,211,217,90,98,108,148,219,244,236,237,236,237,236,233,234,233,231,231,231,229,228,226,73,71,85,76,92,218,246,236,187,181,211,241,242,237,238,237,236,236,236,234,232,233,232,231,231,230,229,226,97,84,74,100,227,240,234,237,244,245,243,236,236,237,237,237,237,236,236,233,233,232,232,231,230,230,228,225,84,81,64,162,248,231,237,237,236,236,236,237,237,237,237,237,237,237,236,233,233,232,231,231,230,230,228,226
12,118,132,143,150,153,160,168,175,178,181,185,190,194,197,200,203,206,207,210,212,213,214,214,216,217,219,219,219,121,134,146,152,155,163,171,177,180,183,188,191,195,200,204,205,208,216,216,213,214,217,218,218,221,222,220,221,123,137,150,153,156,166,174,180,182,186,191,194,198,202,204,208,209,191,201,221,216,218,221,227,220,223,223,223,125,139,151,154,159,167,175,181,184,189,193,198,201,206,211,217,221,153,120,192,229,190,147,194,230,222,225,224,127,141,152,156,160,170,177,182,187,191,195,199,205,193,170,227,228,164,123,116,173,182,127,109,211,230,226,227,128,143,154,158,163,172,179,184,190,193,196,199,227,183,123,133,218,191,150,110,112,183,153,103,158,241,226,228,131,145,156,160,165,174,181,186,191,197,196,213,237,185,146,105,187,220,163,132,104,170,170,122,135,242,229,231,133,147,158,162,167,175,182,188,193,197,200,227,223,212,171,140,150,232,186,138,97,140,170,130,121,238,231,233,136,150,160,163,169,179,184,190,196,196,213,215,190,232,198,157,117,200,209,142,98,106,151,127,106,233,236,235,138,152,161,164,171,181,186,191,194,196,239,179,170,226,211,156,115,152,211,140,101,88,138,114,99,232,238,237,139,154,162,167,173,181,188,191,180,173,201,172,157,196,206,167,125,109,184,135,101,84,122,110,103,235,238,238,141,155,163,166,173,180,198,214,201,196,193,163,115,99,190,164,113,81,155,140,103,82,114,112,111,240,239,239,143,155,164,167,175,179,209,236,227,230,218,139,102,53,140,138,97,68,119,157,137,88,128,128,126,249,238,241,145,158,164,169,178,179,217,232,193,194,178,114,102,61,90,123,107,56,87,192,158,99,132,147,96,215,248,241,146,160,165,170,178,182,212,214,176,151,172,138,109,72,57,123,116,72,114,186,166,107,109,136,76,169,255,240,148,161,166,171,179,185,204,189,157,120,150,169,106,84,55,93,95,115,181,178,157,105,93,106,88,192,253,242,148,160,167,170,179,184,202,210,180,143,122,169,110,93,73,79,118,172,192,182,162,135,113,100,116,238,248,251,149,160,165,169,178,184,206,211,179,151,125,146,120,94,78,89,160,189,191,190,179,149,122,88,174,255,240,221,150,161,166,169,180,184,208,207,192,180,133,117,136,120,100,109,195,198,196,203,173,140,112,105,234,217,204,166,151,161,167,171,180,186,205,206,201,187,128,128,159,141,112,128,208,205,211,195,150,130,103,137,228,134,141,201,151,161,166,172,180,187,201,200,195,192,130,144,158,135,139,186,215,214,206,170,133,118,102,132,134,151,122,139,150,161,166,171,179,188,195,190,195,185,141,151,160,139,175,197,217,207,186,149,119,105,120,178,132,165,132,124,151,161,165,171,181,190,198,197,202,181,147,155,161,137,176,183,203,195,171,133,111,93,153,212,145,113,169,214,127,132,135,138,143,148,150,171,195,178,157,161,156,139,168,185,184,176,145,115,97,125,136,142,144,132,177,166,123,124,123,124,127,126,120,135,197,180,162,159,151,145,153,176,169,140,116,101,100,138,205,168,159,166,135,160,127,126,129,131,132,133,135,131,193,200,173,156,152,150,149,164,154,120,102,103,180,200,250,225,226,188,163,212,127,128,128,130,131,131,133,129,178,188,170,151,144,139,140,150,136,112,87,134,248,218,192,195,202,172,139,150,127,129,130,132,133,132,134,131,181,185,136,123,123,124,133,133,115,101,81,124,242,202,201,217,242,209,157,131
6,162,163,163,164,164,164,164,164,165,166,166,166,166,165,166,167,164,165,166,167,166,165,165,165,164,163,163,163,163,163,164,165,165,165,165,165,165,166,166,166,168,167,168,168,167,168,167,167,167,167,166,165,166,164,164,164,164,164,165,165,165,166,166,167,166,165,166,166,167,168,168,169,168,168,169,169,169,169,167,167,166,165,165,166,164,165,165,166,166,166,168,168,168,168,168,167,168,169,170,171,171,170,169,170,169,167,168,169,165,168,167,166,165,166,166,166,168,168,168,168,168,169,171,170,170,170,168,164,159,160,159,160,156,149,137,137,154,151,166,168,166,166,167,168,168,168,168,169,170,168,166,164,157,156,158,152,154,157,171,171,160,152,139,129,141,123,160,171,165,167,167,168,169,170,169,165,158,151,154,154,154,166,167,155,147,149,152,144,132,117,110,113,120,138,171,170,164,166,167,169,169,168,164,160,151,143,141,146,149,144,136,121,109,102,103,114,123,133,145,158,167,172,171,170,165,166,168,165,165,163,162,162,151,132,113,106,100,89,87,88,92,124,158,171,175,176,176,174,171,170,170,170,164,165,163,160,158,160,161,160,158,144,105,77,67,71,95,126,157,177,174,174,171,169,170,171,171,170,169,169,164,158,157,158,160,157,160,164,163,135,100,73,68,72,93,174,177,169,172,172,170,170,171,170,171,170,169,168,156,157,158,158,156,160,166,166,139,97,85,73,69,76,73,91,160,179,171,172,171,171,171,170,171,170,170,169,158,159,156,158,158,163,162,163,152,128,92,67,67,81,79,67,72,152,179,172,172,172,172,172,172,171,170,170,164,160,157,160,163,161,162,172,173,148,102,68,62,75,92,89,73,75,170,175,173,174,173,173,171,170,171,170,160,161,161,158,161,166,164,175,166,129,93,71,69,68,74,81,84,61,141,180,172,173,173,173,172,171,171,171,162,162,159,158,160,162,159,164,157,119,84,70,71,71,62,64,69,85,163,180,177,176,177,177,176,176,173,170,164,159,156,154,150,152,154,159,157,132,91,60,67,75,76,74,61,127,157,157,160,163,165,164,159,159,168,174,160,157,156,155,152,155,159,164,168,142,92,63,55,64,92,74,69,82,81,85,87,85,82,90,122,153,177,177,156,162,160,157,158,162,164,169,164,129,79,67,67,59,66,78,79,83,80,78,73,96,122,150,177,176,183,184,159,159,155,154,154,150,146,155,135,104,81,72,70,67,66,85,94,82,91,104,137,177,188,169,157,163,164,176,154,148,144,146,138,130,128,129,111,94,83,79,76,67,69,77,100,146,169,174,181,170,163,165,155,148,158,162,142,144,138,130,123,119,119,114,98,83,80,81,80,70,78,123,181,193,185,176,166,154,146,148,153,144,138,141,123,127,125,116,110,103,93,91,92,83,84,80,82,112,165,195,185,171,169,165,153,140,137,137,145,141,132,136,87,93,92,90,82,78,78,82,83,86,77,109,164,194,193,186,176,165,161,165,144,124,131,131,135,137,132,132,65,66,72,74,76,81,84,84,87,73,123,180,190,184,177,171,162,161,161,162,138,109,123,127,123,133,128,125,74,75,83,85,81,82,84,85,72,130,189,171,174,162,169,164,151,156,161,163,134,99,109,120,121,126,122,128,80,80,82,81,81,82,81,73,135,188,166,159,159,160,166,154,143,146,157,160,136,94,95,112,116,119,127,123,81,80,80,80,82,80,89,146,183,169,159,150,158,159,163,147,135,136,150,162,138,96,89,104,115,121,131,116
11,180,179,179,179,178,177,178,178,174,178,174,172,172,171,170,168,166,165,164,163,160,158,157,156,154,152,150,152,183,183,182,183,182,182,182,181,184,151,174,177,174,174,173,172,170,168,167,166,164,161,160,158,156,155,158,139,187,187,186,187,186,187,187,185,196,136,132,189,179,179,177,175,173,172,171,168,167,165,163,159,160,158,101,41,192,191,192,191,191,192,190,190,187,167,99,171,189,182,181,179,177,175,173,171,169,169,166,163,159,82,21,22,195,195,195,195,196,195,194,194,191,182,112,133,197,185,185,183,182,179,177,175,174,172,169,174,108,39,32,34,200,199,199,199,199,198,198,197,195,182,124,109,199,189,189,187,186,183,182,179,178,174,175,165,60,54,47,31,202,203,203,203,202,201,201,201,199,188,160,97,185,198,192,190,189,187,186,184,181,178,182,154,48,54,46,41,205,205,205,204,205,204,205,205,202,205,176,93,165,205,195,194,192,189,188,187,185,180,185,149,50,44,29,34,209,210,209,208,207,207,208,208,204,207,185,96,145,211,196,197,196,193,190,190,188,183,191,132,38,46,25,40,211,211,211,210,211,210,209,210,207,190,182,115,120,212,200,198,197,196,195,193,191,185,197,119,30,42,23,31,213,212,212,212,212,213,212,212,214,190,182,161,99,187,212,206,200,199,198,196,194,189,198,106,29,38,20,27,215,215,215,216,215,216,216,214,217,206,190,198,119,161,140,174,209,200,200,198,197,194,192,72,30,19,21,39,217,217,217,217,218,217,216,215,216,212,188,198,208,198,98,99,216,202,203,202,199,197,195,89,78,88,75,48,218,219,219,220,219,218,219,217,219,221,196,203,177,143,113,78,200,209,205,204,200,198,188,170,165,157,139,85,220,220,220,221,221,220,222,221,210,176,201,216,156,71,98,80,167,218,205,205,202,191,189,184,162,117,89,71,222,223,223,223,223,225,221,210,204,123,107,182,150,78,81,85,128,221,204,208,192,196,197,173,116,103,83,48,224,224,224,225,226,224,211,215,195,136,93,111,155,101,73,86,88,213,218,202,175,188,184,115,91,156,149,41,225,225,227,226,224,211,220,197,150,152,126,86,130,124,68,85,81,149,192,160,169,177,127,112,163,171,160,97,228,227,228,229,216,211,194,147,93,129,132,91,97,128,71,78,93,70,99,143,165,138,108,206,153,123,140,139,229,230,230,230,213,209,191,154,85,91,147,63,58,132,87,68,129,104,101,140,143,95,180,212,190,56,119,141,231,233,231,232,208,210,194,149,98,84,117,35,43,139,87,61,150,120,98,128,92,126,218,201,213,153,138,152,233,232,232,234,218,203,192,173,156,103,61,48,47,137,116,80,96,113,113,101,81,201,213,207,204,208,173,137,234,233,233,235,231,204,199,189,166,132,88,72,93,143,140,97,112,160,120,69,161,223,208,209,204,208,178,131,235,235,235,236,237,215,197,187,180,149,115,85,103,170,150,108,140,129,93,79,210,216,212,210,206,208,182,109,235,235,236,235,238,224,202,189,175,151,120,101,93,148,177,157,137,113,68,121,229,213,213,211,209,210,186,98,234,234,235,235,235,231,197,188,164,150,128,109,98,124,152,144,129,95,62,193,223,214,212,211,207,212,177,139,235,235,236,236,234,239,208,178,170,154,138,122,105,103,125,117,106,59,143,227,213,213,211,210,213,201,155,152,236,237,237,237,234,237,230,179,169,156,146,128,102,88,101,93,65,113,226,216,216,213,211,208,162,147,145,153
6,144,146,147,149,151,151,152,153,153,153,153,152,152,152,152,152,152,151,151,151,150,149,148,148,147,147,146,144,144,146,148,150,151,153,153,153,154,155,155,155,154,154,153,153,153,153,152,151,151,150,151,150,149,148,147,146,145,148,150,151,152,153,155,155,155,156,156,156,156,156,155,154,154,154,152,152,152,151,152,151,150,150,149,148,146,148,150,152,153,154,156,157,156,156,156,157,157,157,158,158,157,156,156,154,154,152,150,151,153,151,151,150,148,150,152,153,155,156,157,158,157,158,158,158,157,154,148,145,146,148,143,145,138,137,160,138,138,156,151,151,149,152,153,155,156,157,159,159,158,158,158,156,153,147,135,133,142,151,144,145,136,134,164,124,119,159,152,152,151,152,154,156,157,159,159,159,160,162,167,167,165,156,145,138,140,142,137,132,132,119,117,113,144,157,154,153,151,153,155,157,157,157,157,162,170,171,168,156,145,130,120,105,101,104,113,117,121,129,139,152,157,156,156,154,151,153,155,155,165,171,159,159,159,153,142,136,130,118,115,107,99,138,150,155,159,161,162,160,157,157,157,155,151,153,156,154,180,172,152,149,145,151,157,156,146,139,139,142,104,131,168,160,161,160,159,159,159,158,157,157,151,153,156,158,172,149,142,148,153,159,163,161,154,147,139,127,96,102,167,161,162,161,161,161,159,158,158,157,152,155,154,170,177,147,142,144,149,154,157,157,149,136,132,117,85,87,156,165,162,162,161,161,159,160,158,157,153,157,155,174,159,148,151,148,149,151,157,159,147,128,133,128,85,76,135,169,161,162,162,162,161,161,159,158,154,157,156,170,161,164,158,157,158,164,167,158,147,141,137,118,91,79,125,170,162,163,162,162,162,161,160,159,154,157,157,166,182,179,156,155,156,156,153,149,142,133,118,98,91,84,116,170,163,163,163,162,163,162,160,159,156,158,157,165,187,180,159,151,142,126,125,133,131,131,128,90,85,89,129,170,164,164,164,163,163,162,162,160,156,158,157,168,179,175,164,149,137,140,153,154,141,135,143,105,75,107,166,165,165,164,164,164,163,163,162,160,156,159,157,170,174,176,172,150,146,158,163,147,136,130,123,104,86,128,171,164,165,165,165,164,163,163,163,161,157,160,158,170,176,170,168,154,149,154,153,144,132,121,106,95,91,145,171,166,166,165,166,165,165,164,163,162,157,160,157,169,176,170,164,155,149,148,136,127,111,98,92,89,106,163,168,167,167,166,166,166,164,164,162,162,157,160,157,165,173,173,162,149,139,130,111,96,78,73,82,115,160,170,168,167,168,169,167,166,164,164,163,162,156,159,156,162,170,162,145,136,127,111,94,81,71,83,103,164,172,167,167,168,168,167,167,167,165,163,163,162,156,159,156,157,166,149,137,134,129,103,91,89,77,88,139,171,167,168,168,167,166,165,165,166,165,163,162,161,156,160,152,151,161,140,139,140,118,98,93,95,84,124,171,169,168,169,169,167,166,166,165,165,164,163,162,161,156,159,150,147,157,135,144,139,113,98,92,97,117,167,170,168,169,169,168,168,166,165,165,165,164,164,162,162,156,161,148,149,152,138,146,136,113,96,93,99,153,173,168,169,170,168,168,167,167,167,166,165,164,164,163,162,155,161,142,154,154,136,142,126,104,92,96,105,161,170,168,169,169,168,167,167,168,166,167,166,165,164,163,162,154,157,139,161,149,132,130,111,97,93,96,118,170,167,167,166,167,166,165,166,166,164,165,165,164,164,163,161
12,111,113,116,119,121,123,125,127,129,131,133,135,138,140,139,138,140,142,143,143,143,144,142,142,143,145,145,145,112,115,118,120,122,125,126,129,130,132,135,137,139,142,143,144,141,142,138,136,146,145,145,145,145,146,146,146,114,118,119,122,124,126,129,130,132,134,138,139,139,127,107,128,148,147,125,90,103,154,148,150,151,146,148,146,115,118,120,123,125,128,129,131,134,136,136,142,157,131,108,84,151,157,131,106,59,141,129,122,133,152,148,149,116,119,122,125,125,128,130,133,135,138,136,152,173,148,132,81,123,165,125,117,76,71,108,104,74,127,156,148,117,119,123,125,127,129,132,135,137,139,137,157,175,158,131,88,119,171,127,118,72,50,122,106,73,60,157,150,118,121,124,127,129,131,134,136,137,139,140,156,175,170,139,104,118,176,134,114,57,66,135,102,63,38,140,156,119,123,125,128,130,132,135,137,140,141,141,145,136,166,150,111,106,168,127,98,42,78,137,98,60,36,128,161,121,124,126,128,131,133,136,137,140,140,153,127,80,107,147,94,91,146,104,88,46,69,126,96,64,35,125,163,121,124,127,130,132,134,137,139,139,159,158,108,85,63,115,83,76,131,99,89,49,65,117,95,67,32,125,165,123,125,128,131,132,135,138,136,155,158,144,118,100,62,78,84,56,121,98,73,47,65,120,99,67,33,139,160,123,127,129,131,133,136,138,140,156,124,141,133,101,70,45,80,71,104,120,85,54,89,157,121,73,43,158,156,123,127,130,132,134,137,138,146,158,120,125,128,96,75,34,79,89,99,140,100,57,106,162,128,56,37,152,160,124,129,131,132,136,138,138,149,152,128,103,118,102,74,29,46,77,50,98,95,36,83,118,67,51,49,80,165,126,129,130,133,136,139,138,153,152,128,96,121,97,63,43,11,21,1,74,124,110,128,116,90,77,66,54,152,126,130,131,134,137,140,139,156,156,128,101,108,92,58,50,15,22,54,138,153,149,137,123,97,76,59,64,157,127,130,133,136,138,140,140,156,155,128,99,88,91,67,60,23,42,112,154,152,147,129,114,89,70,50,76,168,128,130,134,136,139,141,142,158,154,135,116,90,75,82,62,42,88,151,155,162,143,121,105,85,66,47,90,172,128,131,133,136,139,141,142,158,153,140,127,114,91,76,79,98,127,164,161,166,135,112,97,76,61,48,130,168,129,131,134,138,140,142,142,156,157,146,131,123,118,100,102,116,127,165,164,157,123,102,90,73,53,73,165,162,129,131,134,137,139,142,144,151,155,149,136,129,127,114,102,109,124,168,160,141,116,95,82,68,45,106,171,160,128,131,134,135,138,143,145,148,149,147,140,133,128,118,105,99,130,168,154,128,110,89,72,63,45,135,169,161,129,130,133,136,140,143,145,146,143,145,142,135,130,119,104,93,128,154,142,112,97,80,65,55,59,159,164,162,129,131,134,137,140,143,144,146,146,147,145,136,130,118,106,89,123,140,124,99,85,69,62,45,101,169,161,164,129,131,134,138,141,143,144,147,148,150,141,131,125,111,97,84,118,122,101,89,73,61,56,56,151,165,162,163,129,132,134,137,141,143,145,147,145,149,132,116,111,96,79,85,110,109,89,82,66,61,50,110,169,162,162,163,129,132,135,137,140,143,145,144,144,152,126,112,103,81,80,86,107,104,88,77,66,55,65,158,164,162,163,163,129,132,135,139,141,143,147,141,149,156,127,120,105,89,92,95,111,100,87,68,59,46,111,167,162,164,164,164
1,165,167,170,171,173,174,175,175,177,177,177,178,178,177,177,177,177,179,179,178,177,178,178,178,178,178,177,177,168,170,173,174,175,177,177,178,179,179,179,180,181,182,168,150,180,181,180,180,179,179,180,180,181,180,178,178,171,174,175,177,178,179,178,179,180,181,181,182,175,184,175,104,179,182,181,181,181,181,182,182,183,182,181,180,174,175,177,179,180,181,181,181,183,185,184,195,168,148,175,100,157,164,181,184,185,185,185,185,185,184,183,183,175,177,179,181,182,184,184,184,185,186,185,199,163,142,178,110,119,130,145,187,187,187,186,187,187,186,185,185,177,179,181,183,184,185,187,187,187,187,186,201,166,141,191,135,116,149,110,188,188,188,188,189,188,188,187,187,179,181,183,185,186,187,188,188,189,188,170,202,176,132,197,149,114,156,107,178,190,191,191,190,189,189,189,188,181,183,185,187,187,188,191,191,191,192,142,174,184,125,190,155,121,175,132,155,191,193,193,193,193,192,191,190,183,185,186,188,189,191,192,193,194,196,134,166,182,127,179,161,130,192,156,130,194,195,195,195,194,194,193,192,184,186,188,189,192,193,195,194,196,201,137,167,182,133,181,169,135,177,171,123,187,197,197,196,195,195,195,194,186,188,190,191,193,194,197,196,199,201,140,176,199,149,164,182,137,157,181,136,164,200,198,197,198,197,197,196,186,188,190,192,194,196,198,198,200,195,142,165,202,146,133,179,132,153,192,151,138,200,199,200,199,199,198,197,188,190,192,194,195,197,198,199,203,195,153,131,197,120,123,173,133,139,190,161,121,201,202,201,201,200,200,198,188,191,193,195,196,197,198,200,208,196,147,110,187,167,157,154,168,172,155,143,113,192,203,202,202,201,201,200,190,192,194,196,199,198,200,200,209,189,147,147,146,193,165,168,186,166,141,140,111,165,204,203,203,203,203,201,192,193,195,197,199,199,200,201,208,191,179,170,127,176,179,206,193,181,141,131,120,121,207,206,205,205,204,202,192,194,196,198,199,200,201,202,207,186,170,161,130,172,201,204,179,202,185,147,114,99,199,207,206,206,206,205,191,194,196,199,199,200,201,204,214,182,156,150,172,181,175,164,140,211,216,192,147,95,178,208,207,207,207,206,191,193,195,198,199,199,201,205,222,189,147,149,140,138,136,128,158,198,212,195,163,126,158,210,208,208,207,206,191,193,194,196,198,199,201,205,229,203,148,145,146,143,161,188,212,202,195,181,142,120,139,209,207,207,207,206,192,194,196,197,199,199,200,204,228,219,160,148,164,163,204,221,220,209,189,168,133,96,137,209,208,207,207,206,193,194,196,199,200,200,201,204,228,230,179,158,176,167,206,228,225,213,185,157,125,90,132,210,208,207,208,207,191,193,196,199,200,201,202,203,225,232,193,170,190,165,204,232,231,212,178,147,116,89,149,211,209,209,208,208,193,194,196,200,201,202,202,201,217,229,206,186,198,168,193,231,230,202,170,139,109,90,181,211,210,210,209,208,193,194,196,199,200,202,202,201,208,225,217,201,194,180,172,229,224,193,163,131,102,92,203,212,212,212,209,209,160,164,168,174,176,178,182,185,188,220,226,212,190,178,153,220,213,184,153,121,99,107,208,211,212,212,210,211,97,100,102,103,104,106,109,110,112,206,221,204,183,169,149,197,197,171,140,115,101,108,157,163,167,171,190,213,98,100,101,101,103,102,103,104,100,180,209,193,178,167,152,178,186,165,132,114,103,98,101,102,125,177,196,204
6,169,174,178,180,182,186,189,192,195,198,199,201,203,205,206,208,210,211,212,213,213,213,213,214,215,215,214,214,170,174,177,179,182,186,190,192,195,198,200,202,203,205,207,209,210,211,212,214,214,214,215,215,215,215,215,215,170,175,178,178,182,187,191,194,195,198,201,203,205,206,207,208,211,212,213,213,214,215,216,216,215,215,214,214,170,176,178,180,184,188,192,194,197,200,202,204,206,207,208,209,213,214,215,214,216,216,218,217,216,216,215,216,171,177,178,181,183,187,190,194,197,200,202,204,207,208,209,211,213,215,215,215,218,217,218,219,219,218,220,220,172,177,179,181,183,188,192,195,198,202,202,205,207,207,209,210,211,212,212,213,211,213,214,215,214,212,208,210,172,177,180,182,183,187,193,195,197,199,207,211,208,212,215,216,217,222,221,216,219,223,231,222,214,209,192,191,171,175,178,179,182,186,190,192,203,220,229,225,212,205,218,228,233,234,229,217,220,228,232,230,223,212,200,200,170,175,177,180,181,184,196,214,229,231,230,221,208,181,176,200,205,204,202,198,200,193,186,187,186,179,175,181,172,179,178,176,188,210,232,232,224,223,227,229,214,174,144,146,146,151,162,163,165,178,192,198,199,201,203,208,171,174,183,206,225,234,229,224,225,230,232,220,191,170,147,140,137,130,153,197,211,219,222,222,223,224,222,221,176,203,228,235,231,230,225,227,231,229,217,198,174,161,149,148,153,147,144,178,203,220,218,220,220,219,218,219,229,235,233,231,229,231,231,229,228,228,226,224,195,156,146,136,146,158,152,142,126,188,228,220,222,220,219,220,235,233,234,233,230,227,228,226,227,230,236,232,190,156,150,145,138,147,159,163,145,127,197,225,220,221,221,220,239,237,235,229,229,227,229,223,225,234,236,206,176,161,155,157,158,146,135,143,151,136,150,226,219,221,220,219,239,236,230,224,221,219,220,217,222,228,222,195,171,158,159,162,164,157,138,133,132,138,160,222,219,219,219,218,234,232,225,220,221,218,218,215,216,221,219,204,171,146,129,150,165,188,157,144,132,135,153,166,164,164,164,163,231,232,231,226,222,223,224,222,220,225,223,204,164,151,141,138,139,155,163,157,142,142,138,135,135,136,136,134,234,234,229,224,223,221,221,219,223,228,218,191,158,155,159,159,151,141,144,147,151,145,142,144,144,143,144,143,229,227,222,219,219,213,208,206,213,215,203,184,166,164,162,158,151,144,140,138,148,149,146,144,142,141,141,141,218,216,216,211,205,203,195,196,206,202,188,175,166,160,164,162,154,145,144,148,146,147,147,144,144,143,141,141,200,204,197,196,190,190,188,185,185,176,163,154,151,145,145,150,151,150,149,147,144,146,145,143,144,142,140,141,167,169,173,173,175,168,162,155,150,148,147,146,147,146,143,142,144,148,146,145,145,146,146,143,145,142,141,141,157,147,146,147,142,142,145,145,144,147,148,149,148,148,149,147,147,147,146,146,145,144,145,144,145,143,142,142,146,144,137,131,139,146,148,149,149,149,149,148,148,148,147,147,147,148,147,146,145,143,144,143,143,142,141,142,137,128,125,131,142,150,148,148,149,150,148,148,148,148,148,147,147,147,146,146,145,144,143,143,144,143,142,141,158,150,139,136,140,148,149,149,148,148,148,148,147,148,147,146,146,146,146,146,145,144,143,143,143,142,142,142,165,147,139,137,140,147,149,149,148,148,148,147,147,147,146,146,146,146,146,146,145,143,144,143,143,141,142,142
20,162,166,171,177,181,182,184,188,189,192,193,194,195,195,195,197,197,196,196,196,195,195,194,194,194,192,191,188,164,169,174,179,182,184,187,189,191,194,195,196,198,198,199,197,198,201,200,200,197,196,196,197,196,195,194,191,167,171,176,181,184,186,190,192,195,197,197,199,202,203,197,224,192,176,204,204,202,201,201,201,198,197,196,194,170,173,179,184,187,190,193,195,197,199,201,203,203,205,196,246,186,150,192,172,210,203,204,204,202,201,199,197,172,176,181,186,189,193,197,197,199,201,203,205,206,208,200,244,184,180,215,131,209,206,205,205,205,204,202,200,175,179,183,188,192,195,198,200,202,203,207,206,207,210,203,253,204,183,237,133,201,211,208,208,208,206,204,203,177,181,185,190,193,196,200,203,205,207,208,207,211,212,207,255,204,186,253,149,195,215,211,212,211,209,207,206,178,183,187,192,196,199,203,205,206,208,210,211,209,210,220,255,188,205,252,151,188,221,214,214,213,210,209,208,181,185,190,195,198,201,205,207,210,211,213,212,237,227,198,255,187,218,247,139,187,224,215,215,215,213,212,211,183,188,193,196,201,204,206,210,212,212,210,223,255,248,158,163,169,215,242,139,195,224,218,217,217,215,214,213,185,190,195,198,203,207,210,212,212,218,255,252,184,212,193,146,132,175,208,142,203,226,221,219,219,217,216,214,187,192,196,200,205,209,213,215,210,241,254,245,224,193,227,237,186,120,153,132,209,227,221,221,221,220,217,215,189,194,198,202,206,211,213,217,212,246,222,144,189,122,174,250,204,124,109,115,212,227,224,223,223,222,221,219,191,195,200,204,208,212,214,219,214,250,210,135,123,93,93,213,244,167,104,103,211,230,227,226,225,225,223,221,191,196,202,205,210,213,216,221,216,252,240,202,154,121,116,161,255,210,122,94,214,234,229,228,227,226,225,222,194,197,203,208,211,215,219,222,217,255,255,184,141,131,150,162,255,243,155,90,204,238,230,230,229,228,227,225,195,199,205,210,212,217,221,224,220,255,240,176,150,155,163,210,255,249,182,102,195,240,230,232,230,230,229,227,196,200,205,210,213,217,222,225,223,255,253,198,173,175,186,255,255,236,187,108,195,242,233,234,232,231,231,229,196,202,207,211,215,218,223,228,224,255,255,217,178,195,216,255,255,226,177,113,197,247,235,236,233,233,233,231,196,201,206,211,216,219,224,230,225,255,255,229,193,200,243,255,255,220,172,111,200,246,235,237,235,234,234,233,196,202,207,211,215,219,225,229,224,255,255,232,217,204,255,255,244,214,162,104,195,247,235,236,234,233,234,232,200,206,211,213,217,221,226,231,228,253,255,242,239,219,249,255,233,205,160,93,194,248,236,237,236,235,236,231,202,205,209,213,219,223,227,232,231,241,255,254,248,236,223,248,211,196,148,89,199,251,238,239,239,235,237,242,201,205,211,215,219,222,226,231,233,232,255,255,247,222,200,219,189,195,144,91,220,247,239,241,238,245,237,189,205,208,213,219,222,225,228,233,244,243,255,255,231,189,169,196,186,189,125,110,247,242,240,239,249,221,134,90,191,199,205,210,216,222,228,226,179,146,247,252,201,169,156,201,184,174,90,172,255,248,250,255,218,118,92,83,129,131,134,135,138,141,144,153,74,0,194,255,211,167,167,219,163,138,68,91,174,180,182,185,116,80,79,65,98,104,109,110,107,104,107,124,134,64,123,237,205,169,188,219,128,103,41,6,80,106,108,119,92,61,56,59
0,221,221,221,221,220,220,220,220,219,218,217,218,217,215,214,214,213,212,210,210,209,207,207,205,204,203,201,201,221,223,221,222,222,221,221,221,220,218,218,219,218,217,216,215,215,214,213,212,210,208,207,205,204,203,203,203,221,222,222,223,223,223,223,222,221,220,219,219,218,218,218,216,214,213,213,211,211,210,207,206,205,204,203,202,224,224,224,224,224,224,224,224,222,221,221,221,223,223,218,220,220,216,211,211,210,211,210,208,207,205,203,203,223,226,226,226,225,225,223,223,225,226,221,208,177,188,224,202,186,204,220,215,216,214,209,211,209,207,205,203,226,227,227,227,226,224,224,216,193,205,219,187,154,123,171,173,141,122,194,187,172,199,215,204,207,208,206,205,227,227,226,227,226,225,224,205,173,149,182,201,158,122,134,185,150,115,114,157,123,107,188,174,172,214,205,205,228,228,227,227,226,227,226,221,197,166,137,197,167,132,133,190,159,121,119,173,145,94,118,172,139,216,206,205,228,228,228,228,226,231,222,213,203,177,123,181,174,136,132,189,161,122,108,168,147,102,91,161,132,207,210,207,230,229,229,229,227,233,218,177,204,159,112,182,170,128,125,180,151,113,91,146,128,93,87,161,118,173,218,208,230,229,230,229,228,228,191,150,198,139,109,175,146,106,118,166,137,100,96,161,138,82,91,168,144,122,206,211,230,229,230,230,231,228,205,175,195,151,125,167,146,103,116,169,137,89,137,185,147,74,97,167,159,110,156,221,231,232,231,230,234,224,201,174,178,161,128,173,166,106,134,186,151,93,166,193,118,67,144,177,158,101,142,221,231,233,233,232,229,199,169,151,137,121,115,185,164,101,143,192,156,97,68,102,61,106,181,180,141,88,187,214,233,233,234,234,229,203,173,145,116,105,101,134,139,97,92,140,120,92,99,65,89,174,182,166,105,129,221,209,234,233,234,231,222,201,177,145,122,120,123,115,124,121,104,109,145,177,184,167,151,177,166,136,89,194,218,210,235,235,235,230,221,205,180,151,124,117,124,132,149,163,169,186,198,187,175,175,146,150,154,97,121,225,211,213,235,235,236,234,225,206,183,161,135,124,126,141,174,187,199,202,195,181,170,163,135,127,132,76,182,223,213,213,235,236,236,233,227,206,188,168,145,144,130,168,205,204,204,200,190,174,166,159,125,111,88,113,226,217,216,213,235,236,235,233,230,212,194,176,162,159,163,201,211,206,206,198,184,170,159,143,113,83,89,205,221,217,218,215,236,236,235,234,231,214,198,185,173,166,195,205,209,212,205,188,178,162,146,127,87,79,200,224,217,218,217,216,236,237,237,231,228,219,204,190,174,172,204,205,211,210,196,176,163,151,132,100,70,191,228,217,220,220,218,216,236,237,237,230,226,221,208,194,176,170,202,207,203,198,180,162,147,136,108,68,178,232,218,221,220,221,218,218,237,238,239,233,226,224,213,203,187,173,197,204,192,181,165,147,130,104,66,167,235,221,223,222,220,221,219,217,237,237,240,235,230,219,212,204,195,180,194,194,180,165,154,134,102,65,164,235,223,226,223,222,221,220,219,219,236,237,239,234,226,216,223,218,204,188,189,184,164,152,141,106,65,170,239,225,226,227,224,223,222,220,219,219,237,238,239,232,229,216,225,219,198,185,180,175,152,132,117,75,173,242,226,229,229,227,225,224,222,221,220,219,239,239,236,229,222,206,220,207,192,184,173,158,140,123,84,130,244,228,230,228,229,226,226,224,222,222,222,220
4,180,179,179,178,177,177,176,176,176,175,174,174,173,172,171,170,169,168,167,165,164,163,161,160,158,158,158,157,181,181,180,179,179,178,178,177,177,176,175,175,174,173,171,170,169,168,167,166,165,163,162,161,160,159,158,157,181,181,181,180,180,180,179,179,179,178,177,176,175,174,173,172,170,169,168,167,167,165,164,163,161,159,159,158,183,182,182,182,182,181,181,181,180,179,178,176,175,175,174,171,169,169,168,168,167,167,165,164,162,161,160,159,185,185,184,183,183,182,182,181,180,180,178,171,165,164,162,159,151,149,160,168,167,167,166,164,163,162,161,160,186,186,185,184,184,183,183,182,181,179,176,167,156,148,139,123,118,121,130,147,151,153,162,165,164,163,161,160,186,186,185,185,185,185,184,183,180,174,170,156,130,112,124,103,85,108,109,100,100,105,132,162,165,163,162,160,187,187,186,186,186,186,185,184,179,171,160,151,126,91,104,101,80,99,98,75,77,85,98,151,165,164,163,161,187,188,188,187,187,187,186,185,178,152,124,127,137,104,102,115,111,106,91,74,88,95,88,136,166,165,164,163,188,188,188,188,188,188,187,186,178,145,96,82,128,120,103,117,130,122,100,93,97,103,93,127,165,166,164,164,189,189,189,189,189,189,188,186,172,134,89,61,87,99,82,89,102,116,109,104,99,101,92,112,161,167,165,165,190,191,190,190,190,190,189,186,169,139,110,83,68,71,70,66,69,93,107,103,98,100,94,96,151,167,166,165,191,191,191,190,190,190,190,186,174,152,123,92,68,68,74,73,75,79,85,93,105,116,108,89,135,167,166,165,192,192,192,191,191,191,190,187,175,149,115,86,66,67,76,85,93,86,79,94,129,136,120,93,118,164,166,165,193,193,193,193,193,192,190,188,175,146,113,82,66,69,81,94,99,96,102,116,132,140,132,103,104,158,167,166,194,194,194,194,194,193,190,188,178,154,122,88,70,74,87,101,106,113,132,145,141,141,134,105,92,150,168,166,195,195,195,195,195,194,192,187,177,159,131,98,75,76,92,110,121,132,146,151,145,134,118,94,84,146,168,167,195,195,195,195,195,195,193,186,177,165,141,110,83,77,92,116,135,149,157,153,140,124,102,78,89,153,169,168,195,195,195,195,195,195,193,185,175,168,149,121,95,79,90,125,148,160,160,150,131,113,89,70,114,164,169,168,196,196,196,195,195,196,193,183,172,166,153,129,103,87,95,135,156,161,156,142,121,101,78,83,146,170,170,169,196,196,196,195,195,195,193,181,168,164,157,136,111,97,103,141,157,157,148,131,110,89,73,115,166,172,171,169,197,196,196,196,196,196,194,181,168,166,160,141,119,105,110,142,154,151,137,116,98,77,84,148,173,173,171,170,197,196,196,197,197,196,195,185,172,171,163,145,124,107,110,139,147,140,123,102,83,71,117,169,175,174,172,171,197,196,196,197,197,198,197,188,177,174,163,147,130,110,107,131,136,126,108,88,69,89,154,176,175,174,173,172,198,197,198,199,198,198,197,190,181,174,162,149,133,116,107,118,122,110,93,73,73,134,174,177,175,174,173,172,198,198,199,199,199,198,197,190,182,173,161,149,136,123,111,109,109,97,78,66,112,169,179,178,176,175,174,172,198,199,199,200,199,198,194,186,181,173,162,153,142,130,117,104,98,84,67,89,157,180,180,178,177,175,174,172,199,199,199,200,200,198,189,181,180,173,162,155,144,130,118,102,91,75,66,123,176,181,180,179,177,175,174,173
0,200,200,202,204,204,208,209,209,210,210,211,214,216,216,215,215,215,216,217,217,216,216,217,216,217,216,216,215,199,201,204,206,207,209,209,210,211,212,212,214,215,216,216,215,217,217,217,217,217,217,216,217,217,217,217,218,199,202,204,208,208,209,212,211,213,216,214,216,216,215,215,218,217,215,217,219,218,219,220,220,219,219,220,218,201,203,205,207,208,210,212,213,214,215,215,217,220,218,224,217,217,221,232,219,214,240,208,213,224,221,220,219,202,205,207,208,209,211,213,215,215,222,240,218,201,242,243,208,185,231,247,215,190,239,207,188,228,221,222,221,204,206,208,209,211,214,213,217,213,246,252,226,175,213,240,213,172,186,241,220,178,210,227,175,219,226,222,223,205,207,210,211,213,211,232,235,204,248,244,233,188,187,239,221,188,171,245,222,173,172,230,191,182,215,226,223,206,208,210,213,212,224,255,238,200,224,252,232,205,188,239,224,188,184,247,213,173,135,209,214,189,176,206,228,208,210,211,213,210,243,255,244,216,207,252,229,210,182,243,233,180,188,245,196,166,103,170,223,211,166,175,234,209,211,212,213,216,253,255,253,229,196,244,232,205,180,248,234,169,163,219,181,144,97,190,235,218,172,182,236,210,211,213,210,227,248,235,254,236,189,229,234,197,173,239,221,167,132,178,172,123,117,234,236,223,168,205,235,211,213,216,209,243,249,229,240,212,164,204,221,186,158,197,194,163,124,175,166,114,186,244,232,199,162,226,232,212,215,213,219,255,247,212,221,179,136,175,199,177,142,155,179,138,123,198,198,204,231,231,214,171,173,237,229,212,216,210,236,255,241,206,204,186,148,162,194,181,128,134,171,150,207,242,240,230,212,207,187,163,188,239,231,215,219,213,229,255,251,232,199,185,162,154,210,187,117,124,201,243,254,245,234,219,198,181,174,151,201,240,233,217,221,217,228,255,255,242,221,195,179,182,207,183,166,223,255,255,246,239,228,207,184,171,163,161,231,236,235,217,220,216,233,255,255,247,233,222,198,200,213,229,253,255,255,252,241,226,211,191,172,162,155,218,240,236,236,216,219,217,234,255,255,255,244,235,219,210,232,246,255,255,254,246,233,213,192,173,165,147,198,241,234,238,237,217,219,218,231,255,255,255,250,241,232,223,231,244,255,255,248,240,222,202,177,164,150,171,241,236,237,238,238,218,220,220,228,255,255,255,252,240,229,224,226,237,250,246,234,225,210,183,167,152,152,229,241,238,239,238,238,218,220,223,224,253,255,255,246,233,219,218,223,229,234,228,217,201,189,169,152,144,220,245,238,239,240,239,239,220,224,227,225,248,255,255,246,233,218,219,226,229,229,216,201,178,165,148,127,203,248,238,240,241,240,239,240,218,215,215,206,216,228,212,204,198,191,201,212,210,207,189,178,163,145,124,190,247,239,242,241,241,242,241,240,180,166,165,160,150,145,143,134,126,118,117,115,107,106,104,106,113,111,130,231,249,240,241,241,243,242,241,241,158,160,157,151,149,147,138,129,124,112,106,95,89,88,85,83,81,86,91,101,189,251,240,242,243,242,242,242,164,162,161,154,151,144,136,129,120,111,105,97,92,90,88,86,84,86,89,67,146,255,240,244,243,243,243,243,182,160,162,155,153,142,135,126,114,109,103,98,90,88,87,83,83,82,84,81,223,249,242,245,243,244,244,244,195,162,158,156,152,142,132,124,115,108,100,97,91,90,87,83,81,84,73,137,255,240,243,244,245,245,245,245
8,235,235,235,235,236,234,241,200,164,239,234,235,235,233,232,230,230,229,227,225,224,222,221,220,217,216,215,213,237,236,236,236,236,236,234,171,110,237,237,236,236,237,236,234,233,231,230,229,227,226,225,222,220,219,217,215,239,238,238,239,239,241,221,136,124,251,239,239,239,239,238,237,235,235,234,232,231,229,227,225,223,221,220,219,243,241,242,243,243,237,206,100,173,255,239,241,243,243,241,239,237,238,237,235,233,232,230,228,227,225,224,222,243,244,243,244,245,238,180,82,227,249,243,243,242,244,243,241,242,242,238,237,235,234,233,231,230,227,227,223,245,245,245,246,246,238,175,94,241,248,247,250,253,246,244,243,241,243,241,239,238,237,236,235,234,230,228,226,248,247,246,247,247,235,160,101,250,250,248,217,200,253,250,248,250,243,244,241,235,241,236,237,236,233,231,229,249,249,249,250,250,227,149,93,248,253,232,191,127,167,200,152,210,255,243,246,183,216,244,237,238,236,234,231,251,251,252,251,251,231,197,110,218,254,228,215,172,97,142,135,110,207,163,185,193,148,255,239,239,238,236,234,251,252,252,253,254,235,220,140,190,252,225,235,187,115,110,143,116,185,149,111,196,146,184,255,240,239,237,235,253,253,254,253,255,243,213,170,174,211,218,240,195,121,92,116,156,192,135,91,173,187,110,188,248,241,238,236,255,255,255,254,255,248,225,214,188,187,165,218,198,136,84,84,169,176,116,72,133,209,160,100,191,254,238,237,255,255,255,255,255,248,243,206,172,161,158,177,209,140,74,77,175,158,107,51,129,225,172,84,181,255,239,238,255,255,255,255,255,250,226,174,138,117,118,138,227,182,102,86,177,139,79,31,183,227,139,89,242,246,242,241,255,255,255,255,255,247,230,198,160,111,95,75,206,244,153,91,178,125,50,86,198,199,94,163,255,243,244,243,255,255,255,255,255,239,233,215,162,101,97,89,193,229,155,100,147,132,148,157,202,145,84,237,253,247,245,244,255,255,255,255,255,233,240,216,158,117,92,113,229,173,85,120,157,172,180,133,157,94,120,255,246,250,246,243,255,255,255,255,255,238,240,207,172,126,102,130,204,191,187,217,209,180,167,108,104,56,200,255,250,250,248,245,255,255,255,255,255,240,237,216,175,120,115,180,237,238,252,234,200,175,145,93,49,145,255,252,253,251,250,248,255,255,255,255,255,229,237,226,174,126,143,221,245,245,245,217,187,158,123,52,127,255,255,255,254,252,251,249,255,255,255,255,255,232,228,221,186,138,166,231,239,255,237,200,171,143,70,106,255,255,254,254,252,252,249,246,255,255,255,255,255,239,229,219,188,139,175,224,219,227,205,177,151,90,86,252,255,254,253,253,253,251,248,245,255,255,255,255,255,239,232,223,184,152,174,219,204,199,165,143,93,69,236,255,254,255,254,254,253,252,250,245,255,255,255,255,255,241,227,210,190,173,172,212,195,175,145,89,57,220,255,255,255,255,255,253,251,250,248,251,255,255,255,255,254,237,223,216,211,186,172,199,179,147,104,58,210,255,255,255,255,255,254,254,255,255,255,232,255,255,255,255,243,232,227,227,208,185,185,196,159,111,55,190,255,255,255,255,255,255,255,255,240,218,168,102,176,183,189,192,209,243,239,230,206,186,188,176,132,77,92,247,245,249,249,251,251,222,167,124,87,71,49,50,117,118,120,112,195,251,236,216,196,190,166,150,116,66,88,127,133,138,138,139,120,81,50,49,44,42,50,42
21,95,97,102,108,112,116,119,121,125,127,131,132,134,137,138,138,139,141,141,141,142,143,142,142,143,143,143,143,96,99,105,110,115,118,121,123,127,130,132,134,136,139,140,140,145,143,144,144,144,144,144,144,146,146,145,145,97,100,107,112,116,120,123,126,129,132,133,136,139,141,145,127,111,147,145,146,146,148,151,148,148,149,148,148,99,103,109,113,118,122,125,127,130,133,136,139,141,143,150,134,69,140,150,147,150,138,129,153,150,150,150,150,101,104,110,116,120,124,127,129,132,134,138,140,144,143,152,143,75,122,156,149,152,142,81,134,158,152,152,151,103,105,112,118,122,125,128,131,134,137,140,143,146,146,153,146,82,104,160,149,154,149,88,108,163,153,153,153,104,108,114,120,124,127,130,134,136,139,142,145,147,149,152,148,97,92,158,153,155,147,94,93,162,154,154,155,105,110,115,121,125,128,132,134,137,141,144,147,149,150,152,158,123,86,149,157,156,149,100,86,161,157,157,157,107,111,117,123,127,130,133,136,139,142,144,148,150,152,151,163,132,86,134,162,156,155,118,83,159,160,159,159,108,112,119,124,128,132,134,138,140,144,146,149,151,154,155,168,138,92,115,166,157,156,125,80,153,162,161,162,108,113,120,126,129,132,136,139,141,145,148,151,152,152,147,173,156,113,106,165,160,155,131,80,148,165,161,162,109,114,122,126,130,133,136,139,143,146,149,151,153,149,135,140,171,137,104,160,162,164,146,87,145,167,162,162,110,115,122,127,131,135,138,141,144,148,151,152,163,178,167,134,128,125,98,154,165,164,150,88,143,169,162,163,111,117,124,128,133,136,140,143,145,148,151,154,158,153,163,157,122,85,73,135,164,152,144,86,141,171,164,165,111,116,124,128,133,138,139,143,146,150,152,155,155,138,120,112,132,104,96,93,109,129,132,84,137,175,165,166,113,119,125,130,134,138,141,144,147,151,154,155,161,168,148,102,99,137,139,130,95,80,113,79,130,176,165,167,114,120,126,131,135,138,143,146,148,151,154,158,150,141,156,121,62,97,148,144,109,62,79,69,129,176,167,168,114,121,127,131,135,138,142,145,148,152,155,159,150,87,116,132,75,41,92,135,120,91,60,54,123,177,167,169,114,122,128,133,136,139,143,146,149,153,156,159,148,123,104,120,106,77,26,102,143,115,75,45,101,180,168,170,114,121,127,132,136,139,143,147,149,153,156,159,162,149,98,78,106,91,42,66,145,137,101,61,79,177,170,171,113,120,126,131,134,138,143,146,149,153,156,157,168,144,117,94,69,61,70,99,142,155,117,88,69,165,173,171,115,121,127,132,136,138,143,147,150,153,157,157,171,164,143,95,74,82,103,160,159,142,117,93,67,159,174,171,116,122,128,132,137,139,144,147,150,154,158,157,170,165,129,89,94,103,125,180,161,134,101,80,64,160,174,171,115,122,128,132,137,141,145,147,150,154,156,157,166,164,125,113,107,96,139,181,152,126,95,70,65,163,174,172,115,122,128,132,136,140,144,146,150,153,155,157,163,160,140,119,100,97,146,178,149,120,90,70,68,166,174,173,117,125,130,136,140,144,147,150,154,158,160,161,162,156,144,108,108,106,141,170,146,119,85,66,72,168,172,172,94,97,102,108,111,115,120,126,131,137,140,142,148,154,144,111,128,110,130,158,130,106,80,62,80,178,175,176,71,72,71,71,71,73,74,77,78,79,80,81,87,143,145,122,130,115,119,151,114,90,73,64,74,120,123,128
7,168,168,167,168,168,168,168,168,167,167,167,165,164,164,163,162,162,160,159,158,155,154,154,151,150,148,147,144,170,170,169,169,170,170,170,169,169,169,169,168,167,166,165,164,163,161,161,160,158,156,156,153,152,150,149,146,170,170,171,171,171,171,172,172,171,170,171,170,169,169,168,165,165,164,163,161,160,158,155,155,155,152,151,149,172,171,173,173,173,172,172,174,173,172,171,171,171,170,168,167,167,165,164,163,163,163,161,160,158,155,153,150,173,174,174,175,174,174,174,174,175,175,173,171,171,170,170,171,172,170,169,163,158,150,144,143,149,158,155,153,175,175,176,175,175,175,175,174,175,177,177,177,178,174,170,158,142,133,123,128,115,96,121,147,118,149,158,154,177,176,176,177,176,176,177,180,180,173,167,158,143,130,117,115,99,89,103,97,93,89,105,118,99,155,160,155,177,177,177,177,177,180,173,153,132,120,112,115,113,108,106,102,90,76,81,70,73,67,51,72,110,128,151,159,179,179,178,179,182,168,142,123,98,99,109,104,104,99,97,81,79,86,75,73,78,71,70,65,54,67,93,156,178,177,180,180,158,141,142,124,90,81,77,73,78,84,93,102,107,108,79,60,81,71,60,54,41,64,66,147,177,182,174,146,137,142,137,123,109,95,92,97,109,116,112,113,102,94,67,45,50,40,38,45,48,63,108,162,182,173,142,134,138,137,130,130,125,114,112,106,109,103,91,84,72,59,44,53,83,109,130,144,156,162,166,162,175,142,136,137,139,132,137,135,118,83,64,71,74,61,53,81,93,111,135,161,178,179,176,173,170,166,163,162,146,142,142,142,139,138,135,117,96,50,43,50,38,33,24,88,184,187,183,179,173,170,169,169,169,167,164,163,142,146,144,141,140,131,110,105,82,52,41,28,25,26,28,6,103,188,174,175,174,173,171,170,168,167,164,163,144,145,141,144,135,117,106,100,95,97,76,34,26,30,20,30,139,181,174,174,172,172,169,168,166,164,166,165,139,142,148,144,125,106,98,93,102,112,76,31,27,23,32,139,188,176,176,175,174,171,169,169,172,173,155,88,140,146,145,128,100,86,86,83,88,80,43,24,21,4,86,197,175,178,175,175,173,176,179,168,142,99,53,32,141,140,124,101,92,91,90,78,72,59,43,29,28,9,81,189,175,181,181,180,184,153,109,73,42,28,25,31,134,119,101,100,99,95,86,62,49,58,62,38,19,54,174,190,184,164,155,153,121,59,35,24,29,28,29,30,111,100,101,96,83,67,52,46,55,72,59,25,41,143,155,135,96,49,44,39,31,28,40,28,16,23,27,31,103,103,91,71,60,56,55,57,57,49,30,48,70,63,53,50,19,17,29,16,29,20,21,27,5,15,23,29,104,97,78,70,70,67,58,47,39,36,69,81,58,46,41,38,32,5,24,14,16,15,15,15,2,8,18,26,90,70,60,59,56,52,42,41,56,79,82,57,42,35,29,23,22,7,8,16,8,11,12,8,0,4,18,23,51,31,41,46,51,54,62,77,88,78,40,35,32,27,18,22,17,12,0,12,4,6,10,2,0,6,16,22,20,56,83,85,91,88,85,84,78,52,29,17,25,25,14,17,12,12,0,1,6,4,11,0,0,8,13,19,35,87,88,85,91,84,82,78,58,23,20,14,13,22,7,10,3,8,0,0,5,3,10,0,2,8,14,17,48,88,88,85,85,84,78,63,33,5,21,16,3,18,2,8,0,6,3,0,3,5,7,0,6,7,15,15
7,119,140,154,161,167,172,176,176,178,181,184,185,186,187,187,188,189,189,189,188,186,186,184,183,182,180,179,178,121,142,155,163,168,173,176,178,179,182,185,186,188,188,188,189,191,190,190,189,188,187,186,184,184,182,180,179,123,144,155,164,169,174,177,179,181,184,186,187,189,190,191,192,192,192,192,191,190,188,188,187,185,184,182,181,124,145,156,165,171,175,178,181,183,186,187,188,190,192,193,193,193,193,192,192,192,190,190,189,188,186,185,183,125,145,156,165,172,176,179,181,184,187,187,189,191,193,194,194,194,194,194,194,193,192,192,191,189,187,186,184,126,146,157,166,172,177,180,182,185,187,189,190,193,194,195,195,195,195,194,193,190,186,185,185,187,189,188,185,126,146,157,166,172,177,181,183,185,188,190,189,188,184,178,171,160,158,155,156,145,138,160,164,160,189,188,187,127,147,158,167,173,178,179,170,163,158,157,156,150,138,133,134,115,121,123,119,119,122,153,151,138,188,191,189,129,149,159,168,174,179,164,137,128,133,135,139,137,128,121,113,108,108,111,109,111,108,109,107,128,167,181,190,130,149,158,168,177,173,154,123,113,118,118,120,122,122,123,125,123,110,114,122,117,111,107,101,108,131,136,179,131,150,162,171,171,161,147,126,112,110,118,128,135,138,136,131,120,100,104,118,108,99,97,91,99,118,115,170,133,161,169,167,161,156,150,138,133,134,140,144,136,133,128,121,104,93,95,98,94,91,92,92,97,112,141,187,163,171,167,165,163,159,143,120,111,116,124,123,116,113,107,99,95,107,123,141,154,165,173,177,183,187,192,194,179,172,170,168,161,145,131,98,90,101,99,87,81,97,138,159,178,190,199,204,204,204,203,202,200,198,196,195,176,173,170,159,142,135,120,92,85,79,68,59,63,73,96,116,187,206,204,204,203,202,202,201,200,198,196,195,175,174,162,146,136,129,123,113,94,74,70,73,72,68,63,57,137,207,204,205,204,203,202,202,201,199,197,196,174,164,145,134,129,127,135,136,107,78,74,76,75,73,70,63,134,209,206,205,204,204,204,203,202,199,198,196,159,144,129,125,124,122,125,120,90,70,67,65,68,69,67,56,107,204,207,206,206,205,203,203,201,200,199,196,137,130,124,122,117,108,108,97,77,62,53,60,71,73,69,68,132,204,206,207,206,206,203,202,201,201,199,197,131,127,123,118,108,94,89,89,85,71,68,77,79,74,71,140,203,207,206,206,206,205,203,202,202,201,199,196,123,114,107,101,94,91,95,104,97,78,73,73,75,83,131,196,205,205,205,204,204,204,202,202,200,199,197,195,115,107,104,101,98,97,100,102,88,73,90,125,154,181,199,202,203,204,203,203,203,202,202,201,200,198,196,195,110,107,105,101,94,90,88,84,84,123,176,197,201,202,202,203,203,203,203,203,203,202,202,201,200,199,196,195,88,89,91,90,86,85,97,128,162,190,197,198,200,200,202,202,203,203,203,202,203,202,202,201,199,198,196,195,56,37,89,129,136,152,171,184,188,192,195,197,199,201,201,202,202,202,202,203,203,202,202,201,198,197,195,194,40,11,113,171,174,180,182,184,186,189,192,194,196,197,198,198,198,197,197,197,195,194,194,192,189,188,186,184,20,17,121,153,148,147,146,146,146,146,145,142,142,143,143,142,139,137,136,135,132,130,128,125,122,115,96,88,4,26,96,109,108,110,109,109,111,110,108,108,109,110,110,107,106,105,104,104,104,103,101,99,96,69,35,30
4,220,220,221,222,222,221,220,220,219,220,219,218,217,217,218,216,214,214,213,212,210,211,210,209,210,208,206,205,223,222,222,223,223,222,220,220,220,220,219,218,219,217,217,218,217,217,214,214,213,212,211,210,209,209,209,206,223,224,224,225,223,222,222,222,222,221,219,219,218,217,218,218,216,216,216,213,212,213,212,210,209,209,210,208,225,226,225,226,225,225,225,224,223,225,222,221,221,224,221,219,221,218,215,214,214,214,213,211,211,211,211,209,227,227,226,226,227,226,225,223,218,210,216,223,199,191,215,216,201,203,220,216,217,213,212,213,211,212,211,210,228,228,227,228,227,226,228,234,207,189,147,167,194,148,127,190,186,134,156,229,219,219,214,215,213,213,212,210,229,229,228,228,228,224,240,246,214,179,127,104,181,147,93,155,181,132,97,138,159,178,217,215,215,214,212,211,231,231,231,230,225,234,246,218,224,160,112,109,175,131,88,152,172,123,104,73,104,99,147,222,213,214,212,212,231,231,231,232,228,236,245,206,222,163,148,105,181,172,84,141,201,153,105,77,103,94,107,222,213,215,215,212,232,231,232,233,230,235,235,186,210,211,187,108,212,206,86,141,249,176,107,83,147,123,129,225,214,217,217,214,232,232,233,233,228,243,255,226,192,203,153,108,212,181,80,128,235,167,105,113,180,171,122,211,219,217,217,215,233,232,232,234,231,253,245,218,189,157,117,90,129,113,129,211,175,166,175,164,173,164,113,154,230,216,218,215,234,234,237,235,236,248,225,197,165,142,131,117,94,82,146,238,185,176,194,181,176,161,145,117,208,222,216,217,234,234,237,232,240,255,244,218,190,140,114,107,103,107,101,177,188,170,185,176,156,188,183,121,159,230,215,218,235,235,237,235,245,255,244,226,184,133,121,110,101,103,109,133,142,154,174,120,157,213,197,151,115,225,219,218,238,238,239,236,252,255,247,227,175,131,131,113,104,110,128,142,151,179,194,175,170,211,207,159,97,195,227,219,238,239,239,236,254,255,247,205,172,145,130,116,100,137,177,206,215,219,208,217,185,165,178,148,95,155,232,217,239,239,240,237,252,255,243,205,183,137,124,135,169,213,225,226,215,213,195,182,188,144,141,133,106,125,231,216,240,241,240,240,255,255,239,209,190,160,158,187,213,230,222,221,210,200,187,170,170,146,130,129,111,107,229,219,240,240,242,237,241,255,243,217,205,173,174,206,204,235,219,213,203,196,182,165,154,139,124,123,86,140,233,219,242,243,246,148,119,148,199,231,201,175,164,200,199,212,209,202,203,186,160,149,143,122,110,86,111,224,224,223,241,253,213,98,103,92,98,115,115,111,121,162,183,196,199,196,188,166,144,140,123,108,80,95,215,230,226,226,244,252,146,99,100,100,99,62,47,70,68,74,98,128,156,187,175,157,139,122,105,76,93,212,232,224,227,226,255,202,97,104,96,95,98,86,37,61,69,66,62,58,64,92,120,129,113,95,68,105,217,235,227,229,228,227,249,132,97,96,87,87,94,92,36,47,63,66,62,60,57,52,54,70,70,61,133,230,236,229,231,230,229,228,185,97,105,88,83,88,93,83,32,44,59,61,57,55,59,58,57,56,26,114,255,232,231,232,230,231,231,228,115,100,79,112,111,65,101,62,28,47,58,57,53,55,55,53,57,49,37,42,200,245,232,233,233,232,231,230,97,90,76,104,135,81,85,38,34,50,53,52,49,51,52,53,55,42,42,24,137,254,231,236,232,231,231,231
12,131,133,134,136,138,138,141,143,144,145,145,145,146,145,145,147,146,145,146,146,146,145,145,145,144,143,143,143,133,135,136,138,139,140,143,145,146,146,146,146,147,147,148,148,148,147,148,149,148,147,146,145,145,144,144,144,133,136,138,139,140,141,144,144,146,148,148,147,148,149,148,149,149,150,149,150,149,150,149,148,147,146,145,145,134,135,138,140,140,142,144,145,146,148,148,150,151,149,149,151,151,150,149,150,151,151,150,149,149,148,147,147,135,137,140,141,143,144,146,147,148,150,151,151,151,150,154,153,151,151,153,152,150,151,150,150,150,149,149,148,136,138,140,142,145,146,148,149,149,151,151,150,152,151,141,149,157,145,127,145,154,150,150,151,151,151,151,150,137,139,141,143,145,147,149,151,152,151,152,149,168,167,124,119,175,140,91,96,162,153,157,152,152,152,152,152,139,140,143,144,145,146,149,151,152,152,152,151,191,176,133,112,171,137,90,61,127,117,123,158,152,153,154,154,140,142,145,146,148,148,149,151,151,153,160,125,134,166,127,103,165,132,85,67,141,108,58,129,159,153,154,156,140,142,144,146,148,150,152,153,148,177,169,137,85,126,123,94,161,132,76,100,151,117,65,85,165,154,155,155,140,142,144,146,149,151,153,152,162,191,180,146,98,85,140,93,174,162,100,122,156,126,68,77,164,156,156,155,141,145,146,148,150,151,153,149,179,167,176,148,100,73,152,97,151,152,80,129,185,139,62,80,165,157,157,157,142,144,147,149,150,154,154,153,186,160,164,148,100,59,92,83,57,109,93,128,145,91,42,86,166,157,157,158,144,146,148,150,151,155,151,176,186,146,153,144,102,64,45,46,43,133,166,153,128,107,51,94,168,157,159,158,145,147,149,151,153,154,154,188,172,130,135,140,103,71,59,63,134,157,147,139,120,111,70,112,170,159,160,158,146,147,150,152,154,154,163,188,164,142,116,132,135,71,52,153,177,153,139,127,100,88,69,115,169,159,161,160,146,148,151,153,156,153,175,188,167,153,122,103,113,72,114,188,175,150,135,119,93,83,61,124,171,161,162,161,148,150,151,154,157,153,181,187,167,147,139,110,107,126,175,186,173,144,129,109,86,78,57,138,169,162,163,162,148,150,153,155,158,154,181,186,169,154,144,123,125,133,179,185,166,138,120,102,82,76,50,129,171,161,163,163,150,151,153,156,158,155,180,190,174,161,153,134,116,143,183,179,157,136,113,93,78,71,50,147,170,162,163,163,150,152,155,156,158,157,175,190,174,161,152,138,121,162,176,163,147,130,108,86,76,52,104,173,163,164,164,164,151,153,156,157,159,158,170,188,169,157,143,130,139,166,154,151,136,119,98,82,57,92,170,167,165,165,166,164,152,154,156,157,159,158,174,185,164,156,140,138,155,164,144,144,127,107,92,67,88,168,168,167,167,166,166,166,153,155,157,159,162,157,182,184,170,164,151,150,163,162,142,135,119,104,80,72,158,171,168,168,167,167,167,167,153,155,158,159,163,157,194,191,180,165,157,161,162,150,139,116,104,91,63,125,173,169,170,168,168,168,167,167,153,156,158,159,160,161,197,190,188,170,164,162,151,142,124,100,96,65,103,172,171,171,170,169,169,169,168,167,154,157,159,161,158,165,189,178,181,164,161,151,146,128,110,98,81,72,156,174,172,173,172,170,169,169,169,168,155,157,160,162,156,169,185,163,161,151,151,153,140,116,112,94,65,109,173,173,173,173,172,171,170,170,170,169
3,140,140,142,143,144,144,145,145,144,144,144,144,143,143,141,141,140,139,139,137,135,135,134,132,131,130,129,129,145,145,146,146,147,148,148,147,146,147,146,146,147,145,144,143,144,143,140,139,138,136,134,134,133,131,130,129,149,150,149,150,152,151,151,150,149,151,150,149,149,148,146,152,131,132,146,141,141,139,137,136,135,133,132,131,152,153,153,154,155,155,155,154,154,154,154,153,152,151,149,158,121,100,152,144,144,142,141,139,137,136,134,133,157,157,157,158,158,159,158,158,158,158,157,157,156,154,153,157,127,86,150,148,147,146,145,142,140,139,137,135,160,161,161,161,162,162,161,162,163,161,160,159,158,157,156,159,127,76,148,152,150,148,147,146,143,140,140,138,163,164,164,164,165,165,164,165,165,164,164,163,162,160,160,160,128,75,147,157,153,152,150,149,146,144,142,140,167,167,167,167,168,168,168,167,168,168,168,166,165,164,163,167,138,77,143,161,155,154,153,151,149,147,145,144,170,170,170,171,171,171,170,170,171,171,170,169,168,167,165,171,131,71,146,162,158,158,156,154,151,150,148,146,172,173,173,174,173,174,174,173,173,172,172,172,170,170,168,163,127,82,147,166,160,160,159,156,154,152,150,149,176,176,176,176,176,177,177,176,176,175,175,175,173,172,170,163,131,84,136,171,161,161,160,159,157,155,153,151,178,178,178,178,178,178,177,178,178,178,178,177,175,175,174,177,132,69,127,174,163,164,162,161,159,157,155,153,179,180,180,180,180,180,179,180,180,180,179,181,181,175,160,148,154,107,120,185,166,165,165,163,161,159,157,155,181,182,182,182,183,182,182,182,182,181,182,169,158,173,142,80,136,144,84,137,167,170,165,165,163,160,159,157,182,183,183,183,184,184,184,184,185,182,176,150,97,138,152,94,97,135,80,71,95,163,170,166,165,163,160,158,184,184,182,184,185,185,186,186,186,179,169,152,124,107,156,118,75,122,104,88,70,130,178,167,167,165,163,160,184,185,185,186,187,187,187,188,183,172,130,126,143,106,132,126,70,75,106,94,59,117,181,169,168,166,165,162,187,188,187,187,187,187,188,189,178,167,136,88,122,91,98,132,73,68,103,125,72,99,182,169,170,168,166,163,188,188,189,189,188,189,189,190,180,164,133,83,96,62,90,107,56,77,97,147,99,80,177,172,171,169,167,165,188,189,190,190,190,190,190,191,184,160,148,120,82,69,102,89,60,117,148,146,103,79,180,175,172,170,169,167,190,190,190,190,190,191,191,193,187,162,160,133,95,93,117,104,123,175,152,125,69,129,186,175,174,172,170,168,190,190,191,192,192,193,193,194,191,160,159,141,111,95,121,169,176,165,129,93,75,179,180,177,175,173,170,169,190,191,193,193,194,193,194,194,196,162,144,135,113,100,113,165,157,141,109,67,112,191,177,178,177,175,172,170,190,191,190,192,193,193,193,193,197,175,136,137,121,111,110,151,147,123,86,62,164,186,180,179,177,175,172,169,189,191,191,192,193,194,194,193,194,192,145,135,133,117,98,124,120,95,55,130,190,180,180,177,175,173,176,176,189,191,192,193,194,194,194,194,194,193,164,146,134,107,88,95,90,53,110,194,180,180,178,179,183,178,156,117,191,192,193,193,193,194,195,195,197,181,166,159,134,111,99,93,81,69,182,187,187,187,184,171,131,94,63,47,191,192,193,193,193,195,195,195,197,170,156,163,143,131,113,97,62,111,197,182,162,131,105,78,54,51,46,46
24,165,167,168,169,170,170,171,172,172,172,172,171,171,170,170,169,166,165,164,163,162,160,158,157,154,152,151,150,166,169,170,171,172,173,173,173,174,174,174,173,172,171,170,170,169,168,166,165,164,162,160,158,156,154,153,152,168,170,172,174,174,175,175,176,176,177,176,175,174,173,172,172,170,170,169,166,164,163,162,160,158,156,155,154,170,172,173,175,176,177,178,178,178,179,179,178,177,175,175,174,172,171,170,168,166,166,165,163,161,159,158,156,170,175,167,149,174,179,180,181,180,181,181,180,180,178,178,177,175,174,172,171,170,168,166,164,163,162,159,158,172,179,153,109,143,182,182,183,183,183,183,182,182,181,180,179,177,176,174,173,172,170,168,166,165,163,161,160,174,176,149,110,102,172,184,185,185,184,184,184,183,183,182,180,179,178,177,174,173,173,171,168,167,165,164,162,175,179,168,124,89,143,187,186,186,186,186,187,185,184,184,182,181,180,180,178,176,174,172,170,168,166,164,164,176,180,180,147,97,106,180,188,188,185,171,169,186,186,182,182,182,170,164,178,178,175,174,172,170,161,141,130,178,180,183,171,126,93,145,191,188,173,138,115,157,167,136,133,160,141,111,140,179,177,175,173,164,142,112,110,179,181,184,184,151,101,99,179,188,164,149,124,108,130,111,86,109,131,99,85,165,180,176,165,151,122,100,151,180,182,184,187,170,118,94,143,188,158,163,143,108,100,110,90,108,132,100,77,159,182,166,143,134,97,115,168,181,183,185,188,185,155,119,111,168,144,155,155,120,88,107,98,116,134,101,86,171,179,133,122,116,82,142,172,182,185,187,189,191,180,135,111,134,133,129,156,129,97,86,87,109,129,96,102,183,158,112,119,102,98,167,172,184,186,188,190,192,190,160,146,133,121,109,133,135,101,73,68,79,97,77,88,169,124,110,117,89,143,176,173,184,187,190,192,193,194,187,165,133,104,89,92,133,118,94,61,50,67,61,63,102,102,113,104,96,171,176,174,186,188,191,193,194,195,194,168,123,102,90,84,118,142,125,73,40,67,80,98,107,112,113,89,127,180,177,174,186,188,192,194,195,197,196,175,149,127,95,87,111,140,121,84,68,93,120,127,124,109,98,82,159,182,179,176,187,189,193,194,195,198,196,187,167,136,100,91,105,133,125,126,119,120,131,129,121,98,73,107,179,181,180,179,188,191,193,194,196,200,197,187,177,148,119,97,91,128,159,159,154,142,135,125,112,82,80,164,183,182,181,180,188,191,194,195,198,200,199,185,178,156,130,101,95,124,167,169,163,148,133,119,99,70,138,187,184,183,181,180,188,192,195,195,199,201,201,186,169,154,138,109,106,131,162,161,153,139,123,107,81,100,181,187,186,184,181,180,190,193,195,196,199,200,201,190,164,157,145,120,111,131,150,151,145,127,107,88,76,159,189,188,187,185,183,181,191,193,194,197,200,201,201,200,177,159,146,125,104,118,137,139,132,111,90,71,129,189,189,188,186,185,183,182,190,194,195,197,201,201,201,203,192,169,146,123,100,105,122,121,112,91,70,117,187,193,190,188,187,185,183,182,190,193,195,198,201,202,202,203,196,169,143,118,106,106,116,113,95,71,91,186,195,193,191,189,187,186,184,182,190,193,196,199,200,201,202,202,195,172,148,133,124,120,119,111,84,64,148,198,195,193,191,190,188,186,184,181,189,192,195,197,198,201,202,197,191,180,163,142,125,127,122,102,74,82,183,196,194,193,191,189,188,186,184,181
4,166,169,173,175,178,181,183,186,187,189,189,190,193,193,193,194,192,192,190,191,191,190,190,189,189,188,187,187,167,171,174,177,180,182,183,187,189,190,191,195,195,193,191,191,198,194,194,193,193,191,191,189,190,189,188,187,169,173,175,179,182,183,186,188,190,189,189,184,192,208,190,145,157,201,195,195,194,192,192,191,192,191,189,189,170,174,176,179,183,186,188,191,189,206,197,159,148,228,199,150,101,201,202,199,196,196,194,193,194,193,191,191,172,175,179,182,185,188,189,188,184,235,223,175,118,197,205,151,93,145,165,178,202,196,196,196,195,194,193,192,172,177,181,184,186,185,198,216,194,168,222,198,131,168,213,152,73,93,150,112,168,205,195,197,197,195,194,193,174,177,182,185,188,189,224,232,201,118,193,201,125,139,199,136,69,101,155,117,91,201,199,198,197,196,195,194,174,178,182,186,187,192,219,210,190,114,175,180,116,108,162,123,64,123,166,122,74,189,204,199,197,198,197,195,174,180,184,185,188,189,219,191,193,118,157,168,113,80,131,110,78,182,173,111,76,193,204,199,197,199,198,196,176,181,183,187,190,189,224,183,174,159,141,173,150,84,114,89,87,180,141,79,76,204,203,199,199,200,198,197,178,182,185,189,191,192,232,217,179,134,96,188,168,162,149,137,140,164,154,100,77,209,205,202,201,201,200,198,179,182,187,189,190,197,236,211,174,125,88,107,111,177,154,170,189,202,193,127,97,211,205,205,202,202,201,200,179,183,188,189,189,204,233,187,145,119,99,82,75,113,155,167,182,189,175,125,92,201,206,204,203,201,202,201,179,183,187,192,188,213,232,190,152,114,90,87,98,98,124,142,142,150,158,138,81,168,214,204,203,202,203,203,180,184,188,192,187,219,232,195,151,118,101,95,103,129,121,128,154,162,174,152,92,129,220,203,205,204,203,203,180,185,189,193,191,226,228,187,142,111,104,95,98,139,135,175,201,202,206,167,115,86,205,209,206,205,204,203,182,186,190,194,193,228,226,187,145,118,105,104,106,136,155,209,222,214,219,180,129,70,162,220,206,209,205,205,183,185,190,194,193,225,217,187,150,133,119,110,109,133,205,220,225,205,198,167,123,69,154,221,207,209,207,206,182,185,189,194,193,222,211,188,158,135,119,113,117,178,233,228,213,193,166,140,98,79,196,214,208,209,207,205,182,183,189,193,191,220,219,190,147,123,115,123,145,219,233,223,194,168,141,111,72,132,219,208,208,208,207,205,182,184,189,192,192,215,225,192,157,154,133,135,170,231,225,207,177,149,120,88,78,201,213,209,208,208,207,205,182,186,189,193,194,207,220,200,173,168,146,118,185,229,208,185,158,132,103,64,138,223,209,211,209,209,207,205,182,186,189,194,195,206,225,203,175,169,148,118,195,215,186,160,131,107,82,74,204,214,210,210,210,209,207,206,182,186,189,196,190,209,234,213,183,163,134,119,190,194,163,137,107,92,55,141,223,210,211,210,210,210,207,206,183,186,189,195,186,230,231,203,172,144,109,128,177,157,120,103,88,62,86,210,211,210,210,210,210,209,207,205,184,187,194,190,204,241,222,202,178,137,121,145,156,116,90,86,75,72,193,218,212,213,212,212,212,212,210,209,173,174,179,174,225,230,221,208,175,146,138,143,137,102,93,97,68,145,203,195,198,198,198,199,199,199,198,197,117,117,107,143,234,212,201,190,155,142,155,123,109,94,90,84,76,110,112,112,112,110,111,111,112,115,116,114
15,168,159,142,141,112,109,140,47,43,75,78,81,84,88,91,104,118,131,140,144,149,156,161,165,169,172,175,178,174,160,144,145,108,121,140,39,50,77,79,81,85,89,94,107,121,134,143,146,152,159,164,168,172,175,178,181,180,159,147,149,102,133,136,32,56,79,80,82,86,89,95,110,124,136,145,149,154,161,167,171,175,178,181,184,184,161,152,152,99,146,127,28,63,80,81,83,86,90,97,112,127,138,147,151,157,164,170,174,177,181,184,186,184,162,156,152,100,156,116,28,69,81,81,84,88,90,99,114,129,142,149,153,159,167,173,177,180,184,187,189,184,162,159,149,103,163,102,29,74,80,82,85,87,89,100,117,132,145,152,155,161,170,176,181,184,187,191,193,185,163,162,144,109,166,93,41,83,87,93,99,105,103,101,118,132,146,155,158,165,174,181,185,188,191,195,197,183,167,168,144,127,144,122,112,112,113,120,122,118,110,104,107,114,124,137,147,154,156,161,179,193,196,199,202,179,170,162,132,125,126,120,115,105,108,108,105,102,104,112,112,110,112,113,120,129,125,116,117,143,186,204,206,178,167,146,118,115,111,107,103,100,104,104,103,103,111,120,120,114,110,108,115,128,127,119,105,92,109,163,203,177,169,164,115,122,114,88,91,95,101,103,103,105,115,120,118,114,108,110,121,122,121,119,111,100,91,91,122,175,171,171,110,158,147,42,70,87,86,88,90,95,105,119,126,124,113,117,121,122,120,120,111,105,105,97,85,175,177,172,108,170,138,29,69,85,83,85,87,89,95,114,145,167,142,127,122,119,118,116,115,106,116,112,96,176,179,169,110,178,126,28,74,85,83,84,88,90,96,119,170,166,143,118,116,109,99,105,116,108,127,124,108,180,179,164,115,182,113,28,78,85,83,85,88,91,96,145,175,146,126,84,81,82,66,89,129,122,136,126,111,184,182,157,121,184,98,31,82,84,83,85,88,90,112,175,156,130,110,77,50,47,37,94,153,147,139,116,107,187,184,150,130,186,85,35,85,85,84,85,88,89,155,189,146,119,95,63,42,36,34,113,164,162,143,111,100,188,186,142,139,186,72,41,87,85,84,85,88,91,164,186,155,119,87,46,36,36,47,127,168,175,152,114,97,192,191,135,151,183,60,46,89,85,84,86,88,89,132,190,176,138,95,47,35,61,70,115,165,173,147,114,98,195,195,128,164,183,51,53,90,85,83,85,88,90,107,181,196,163,109,59,37,71,99,126,161,151,127,110,91,196,196,124,176,179,43,59,90,84,82,83,86,89,102,154,208,180,136,104,89,99,140,148,138,116,103,101,87,198,195,120,186,170,36,63,88,83,81,81,84,87,103,133,197,195,178,165,158,163,154,121,102,93,89,91,87,200,192,121,194,158,31,69,86,81,80,80,83,86,103,132,188,177,151,144,153,164,144,100,85,85,81,89,93,200,185,123,201,144,29,74,85,79,78,78,82,87,103,163,184,146,135,134,146,163,142,95,80,87,111,84,76,200,178,130,205,130,26,75,82,77,75,77,81,85,103,176,167,138,128,127,133,149,138,101,86,166,194,86,65,201,171,136,206,125,50,89,90,82,80,79,81,85,103,155,154,137,132,123,114,123,127,99,93,202,209,94,70,202,164,146,202,164,127,128,129,125,122,119,119,122,125,134,142,148,166,167,118,95,144,117,117,191,194,98,75,203,157,154,201,172,118,114,119,118,118,119,122,123,122,118,120,124,133,179,157,102,124,124,122,136,133,91,79
0,169,171,172,174,176,178,178,179,179,181,182,182,183,182,183,183,182,183,183,182,181,179,179,179,178,179,178,178,170,172,173,176,177,178,180,180,181,182,183,183,184,184,183,183,183,183,184,184,182,181,181,181,179,179,179,178,171,173,176,177,177,179,181,182,182,184,185,185,184,184,185,185,183,183,183,184,184,183,181,181,181,179,181,179,172,173,174,176,177,178,181,182,183,185,184,185,185,188,186,186,186,187,183,185,185,184,182,182,180,179,182,181,172,175,176,177,178,180,183,183,185,190,186,184,178,170,185,184,168,170,186,183,184,183,185,182,183,181,182,182,172,175,177,178,179,182,183,183,182,161,173,201,170,127,131,187,155,106,151,200,185,168,150,190,183,184,183,184,174,176,178,178,180,183,181,188,188,155,119,186,188,143,99,188,161,114,97,151,159,180,117,170,191,182,185,184,175,176,179,179,181,183,180,203,203,185,126,122,195,136,105,191,158,119,72,112,134,184,155,123,172,189,183,185,176,177,179,180,184,182,192,195,190,191,135,86,177,143,113,195,162,101,100,151,112,176,178,152,123,160,190,184,177,179,180,182,184,181,204,176,170,181,111,91,174,132,119,187,145,80,116,155,85,160,200,173,128,91,189,186,177,180,182,183,182,182,209,183,171,162,88,107,168,111,111,165,130,74,115,151,94,191,208,168,112,87,188,186,178,180,182,185,182,197,202,172,165,157,101,109,149,99,95,145,119,63,119,137,132,195,179,149,78,133,198,185,179,182,183,185,182,211,204,164,128,138,101,95,149,101,84,151,100,84,157,147,162,165,142,111,76,181,192,189,180,182,183,186,184,212,203,178,148,103,58,103,175,107,90,170,154,171,160,148,126,140,119,74,117,199,188,190,180,183,184,185,188,213,193,178,164,140,93,90,122,89,96,193,190,170,151,140,105,105,105,62,158,198,189,188,180,182,184,184,194,217,195,178,165,155,120,85,101,128,186,200,186,162,143,129,97,87,84,69,187,194,189,190,182,182,185,183,199,219,200,181,167,163,134,106,111,169,206,196,178,152,132,114,86,83,56,128,202,190,190,191,183,183,186,183,198,217,204,184,169,164,143,111,117,183,208,190,172,145,122,97,80,62,84,196,192,192,191,190,183,184,185,186,193,217,205,189,173,160,143,111,145,189,197,181,168,137,109,85,71,58,169,200,193,194,191,191,181,184,187,187,192,217,204,192,178,157,139,127,171,185,172,172,157,125,92,77,50,138,205,194,194,194,194,194,184,184,189,185,195,217,207,202,179,156,148,154,182,161,157,158,141,109,84,54,103,204,195,196,196,196,195,196,184,185,188,181,208,216,209,208,183,164,154,163,174,144,152,143,121,94,65,71,194,199,198,197,197,196,196,196,185,186,184,187,215,204,206,203,171,160,160,160,146,143,144,130,108,76,63,171,203,196,197,197,197,196,195,195,183,185,180,197,196,180,192,186,158,157,158,146,139,137,122,113,83,58,155,203,195,199,196,196,196,195,194,194,183,181,179,204,182,160,162,159,150,149,150,136,127,123,107,89,63,137,198,196,198,198,197,196,195,195,194,194,187,170,191,201,165,154,146,138,137,158,149,112,118,118,91,57,136,199,196,200,199,198,198,197,197,195,195,196,178,171,211,193,150,136,142,122,130,159,128,99,120,105,62,112,197,199,198,199,198,199,198,198,198,196,196,196,165,194,208,189,147,124,131,114,132,145,114,101,110,76,75,183,198,199,200,199,199,199,198,198,198,197,198,196
16,105,101,99,97,97,100,100,103,103,109,124,136,148,158,167,175,178,181,186,187,193,200,205,209,214,218,222,224,104,101,99,97,97,98,100,102,101,109,124,136,147,157,166,176,180,179,182,189,194,197,204,209,213,217,221,224,103,101,98,96,97,98,99,99,99,109,122,134,146,157,166,173,177,200,183,159,183,204,207,205,212,216,219,223,103,99,97,96,96,96,98,99,98,109,122,133,146,153,166,172,211,219,184,151,126,142,188,216,213,214,219,222,104,99,95,95,96,96,97,97,98,108,123,138,136,198,218,214,220,191,161,153,134,103,99,152,212,224,222,223,102,99,96,95,96,97,97,95,97,106,124,121,163,243,214,200,193,172,152,133,124,119,101,84,115,175,206,223,100,99,98,95,95,95,96,96,95,109,113,144,228,209,181,178,167,156,138,113,118,122,109,101,92,91,112,143,101,99,96,95,95,94,95,96,98,101,118,213,209,177,170,156,136,127,113,111,107,121,123,105,105,96,92,89,99,95,94,93,94,91,94,98,87,127,188,190,168,161,144,124,114,104,106,108,85,124,122,131,110,101,95,90,96,94,92,91,94,92,94,86,105,223,191,159,153,136,113,106,96,90,103,89,76,133,126,145,118,108,95,86,93,90,86,86,87,87,92,65,192,242,187,152,120,107,101,93,81,92,92,59,83,138,130,142,124,110,94,88,163,157,155,150,144,142,131,142,241,216,171,127,94,82,81,74,80,90,62,41,100,134,128,150,133,123,103,97,140,137,136,134,133,133,127,223,219,186,138,101,78,73,70,53,58,49,30,27,100,128,129,165,158,138,115,99,131,131,131,132,132,118,163,221,177,144,107,84,70,75,59,31,25,16,20,17,85,129,138,175,161,139,131,93,137,137,137,139,133,138,223,192,141,100,87,75,72,74,57,23,13,15,19,13,60,116,151,182,132,137,137,85,138,140,139,142,123,192,222,154,107,73,70,75,80,82,81,64,22,17,21,24,22,111,189,154,108,129,122,76,139,141,145,131,156,211,162,114,75,101,87,79,85,89,87,87,55,49,54,43,48,183,180,124,102,107,91,77,137,141,138,141,212,165,113,72,95,154,109,111,106,99,94,84,74,71,73,49,150,198,146,107,91,85,75,76,140,140,127,200,187,115,74,79,135,122,103,109,111,101,97,88,77,77,52,90,218,174,122,86,79,72,73,78,139,141,135,178,133,79,83,130,138,124,128,112,94,84,86,79,72,77,69,168,222,175,96,72,70,67,76,74,137,140,140,139,126,121,135,138,140,140,137,130,120,104,115,114,111,127,130,221,220,182,94,57,65,84,81,73,136,138,139,139,140,141,138,137,138,138,139,141,142,142,143,141,142,142,133,224,226,182,106,58,101,91,80,78,134,137,139,138,137,137,137,136,139,139,139,140,139,139,139,139,139,140,130,195,207,169,95,114,170,106,100,96,133,136,137,137,137,138,137,137,138,138,139,140,140,139,140,139,140,142,134,157,177,126,95,137,176,140,109,110,133,135,136,137,137,137,137,138,138,138,138,139,140,140,140,140,140,140,140,140,145,116,118,133,163,194,139,124,133,135,135,137,137,136,136,136,137,138,138,139,140,140,140,140,140,140,139,139,140,140,143,137,137,208,177,156,133,134,135,138,136,136,136,136,137,138,138,138,139,139,139,139,141,141,139,140,139,139,141,143,127,199,207,176,135,133,136,136,135,135,137,136,137,137,136,136,137,137,137,137,139,140,139,139,140,139,141,144,124,183,223,190
22,169,174,178,181,183,185,189,192,193,194,195,197,197,198,195,197,200,198,198,196,195,196,195,193,192,191,190,189,174,178,181,184,186,189,191,194,197,194,201,201,200,199,207,192,180,203,199,200,199,198,199,197,194,192,192,191,176,181,184,186,190,191,194,196,198,213,172,194,206,198,233,185,126,209,201,201,203,203,200,200,198,196,195,194,177,183,186,190,193,194,197,198,205,238,131,176,214,202,237,180,132,211,203,206,181,185,205,199,199,199,198,199,180,185,189,193,196,199,200,200,208,230,137,168,217,206,226,170,140,214,205,213,155,140,214,201,203,201,201,200,183,187,192,195,198,200,202,204,206,234,154,154,221,209,219,174,150,218,211,223,149,146,217,205,206,203,203,202,184,189,193,197,200,202,205,209,206,238,179,148,220,212,225,184,153,218,217,226,141,165,219,207,208,205,207,206,187,192,196,201,203,205,208,212,208,241,204,144,214,217,217,178,151,220,230,225,133,189,218,210,210,208,208,208,190,195,200,203,205,208,209,213,210,240,207,131,201,221,215,173,152,224,238,216,131,207,218,213,212,212,210,209,191,197,201,203,207,210,212,215,211,244,238,141,180,226,230,168,154,234,238,186,131,220,217,216,215,215,212,211,193,198,202,206,209,212,215,218,213,233,238,149,172,232,231,156,166,249,247,153,148,231,216,218,217,216,215,213,195,200,204,209,210,213,217,219,240,227,212,172,166,203,224,147,192,255,230,128,186,231,221,221,219,218,217,215,196,201,205,209,213,216,217,226,255,217,230,247,221,164,163,222,224,234,194,123,216,228,224,222,221,220,219,219,197,203,207,212,216,218,219,231,255,204,155,254,249,189,111,180,200,206,153,138,233,225,225,225,223,223,221,220,200,206,210,214,219,221,220,238,242,229,129,138,237,223,163,104,140,157,114,167,238,225,227,226,224,224,223,221,203,208,211,215,220,224,220,253,249,204,154,86,154,250,212,140,102,111,98,200,237,228,227,226,225,225,224,224,205,210,214,218,221,226,223,255,233,181,145,148,144,232,251,187,138,106,99,214,237,230,229,228,228,225,225,225,205,212,216,219,224,226,225,255,248,192,171,183,188,255,245,202,169,107,100,230,236,233,232,231,229,227,226,226,207,214,218,222,225,228,229,255,240,188,176,202,239,255,229,188,156,95,109,241,235,234,234,232,231,230,229,227,208,214,220,223,227,231,231,255,246,207,199,200,255,255,220,166,141,90,145,250,234,237,235,234,234,232,230,227,210,216,222,225,229,233,233,255,253,220,209,200,255,247,202,155,129,87,180,252,236,238,236,236,235,233,231,229,211,217,222,226,231,234,233,255,250,228,219,209,255,226,186,146,120,85,193,251,239,240,239,238,236,234,233,232,213,218,223,227,231,235,234,254,255,237,232,211,250,208,175,140,110,86,209,250,240,242,242,239,238,237,235,235,213,218,224,228,231,237,237,244,255,241,237,210,249,198,166,128,106,97,225,248,241,243,242,241,241,239,237,236,214,221,225,230,234,237,239,243,255,236,219,191,226,187,166,137,99,122,249,245,245,245,243,242,241,240,239,237,216,222,226,232,235,238,241,243,255,225,193,191,226,172,178,144,84,179,255,246,248,246,245,243,241,241,241,238,217,223,228,233,236,240,241,244,255,245,220,217,227,166,187,116,96,239,252,249,248,246,247,247,244,242,242,239,215,222,227,232,236,240,240,244,255,255,241,233,216,164,173,94,138,255,250,249,248,248,247,247,246,243,242,240
4,162,162,161,162,161,160,160,159,159,157,158,156,156,155,156,155,150,150,149,148,148,148,147,147,144,141,141,140,163,162,163,163,163,161,161,162,161,162,161,160,158,154,143,144,157,152,150,149,149,148,147,148,145,142,141,140,164,165,164,164,163,163,162,162,160,142,131,143,156,151,116,85,111,161,153,151,156,150,148,147,146,144,142,142,166,167,165,164,164,165,164,165,164,151,142,118,109,115,134,114,75,117,125,97,107,149,150,148,147,146,144,142,167,167,166,165,165,166,165,159,160,154,152,148,120,80,81,120,107,70,67,85,49,106,160,147,148,147,146,144,168,167,166,167,167,166,156,145,144,130,89,90,128,79,41,94,103,71,41,78,65,64,156,149,148,147,145,144,168,168,169,168,168,167,165,166,149,132,91,49,103,83,40,69,87,53,47,90,79,49,140,153,147,147,146,145,169,170,169,170,168,170,145,122,108,141,102,57,82,105,77,67,78,39,57,94,75,49,141,154,148,147,146,145,170,171,170,170,169,172,156,104,51,103,136,90,89,116,129,109,84,79,76,87,97,64,141,154,150,148,147,146,170,171,170,171,170,172,154,107,42,25,132,109,76,93,118,121,84,91,90,85,104,56,103,163,149,149,148,147,172,173,173,172,170,170,131,88,72,62,57,74,57,51,56,95,91,84,83,82,78,60,64,159,151,150,149,149,174,173,173,173,171,168,145,133,108,78,46,40,57,50,48,51,79,85,75,68,79,80,45,138,157,151,149,148,174,174,173,173,173,169,150,136,102,70,46,49,53,57,73,59,44,37,71,97,108,92,46,101,163,150,149,147,174,174,175,174,174,170,159,125,89,61,45,47,57,77,78,77,71,76,96,123,113,97,68,67,161,150,151,148,174,175,176,176,172,172,150,118,90,60,47,56,68,80,91,90,110,136,125,102,136,123,90,49,143,156,152,150,176,176,176,176,173,172,159,137,105,72,54,59,66,93,107,109,122,137,147,132,123,123,92,39,126,160,151,150,176,177,176,177,176,170,159,138,111,78,52,55,76,98,111,126,131,144,142,132,117,94,76,36,133,160,151,151,177,176,176,177,177,167,157,147,123,92,64,59,66,97,119,133,144,150,139,119,107,84,48,55,160,155,153,151,177,177,176,177,177,163,151,152,132,104,80,62,59,101,132,142,154,150,134,111,96,74,29,110,164,153,153,152,177,176,176,177,177,163,145,149,133,108,88,70,63,101,141,146,151,141,122,102,86,57,45,158,158,156,154,153,177,177,178,178,179,162,143,140,132,115,93,77,73,105,147,141,138,130,110,91,77,37,99,170,156,156,154,152,177,177,179,178,180,163,141,139,139,123,97,89,80,109,141,136,130,116,98,82,62,40,150,163,158,156,155,153,178,178,179,178,179,171,144,142,141,127,104,97,80,112,134,130,125,105,83,72,33,86,173,159,160,156,156,154,179,180,179,179,180,179,153,146,148,131,112,96,78,105,130,122,113,92,72,51,38,155,165,161,161,157,156,155,179,180,179,179,180,179,159,156,149,130,117,101,81,92,115,107,93,73,60,24,117,174,162,161,160,159,156,154,180,180,180,180,181,177,166,159,145,131,119,104,88,86,98,92,75,62,28,76,173,163,163,161,160,159,157,155,180,180,180,180,181,178,167,159,142,128,116,104,96,86,86,84,68,45,34,158,168,164,163,161,159,159,157,156,180,180,180,180,182,172,165,154,143,134,129,119,111,94,81,78,61,28,94,178,165,166,163,161,160,159,157,155
11,174,176,177,179,181,181,182,182,182,182,180,180,178,178,178,177,175,174,172,172,171,169,167,166,165,164,163,160,176,178,179,181,182,184,183,183,183,183,182,181,180,181,180,179,178,176,175,174,172,171,170,168,166,165,163,161,176,179,182,182,184,185,185,185,185,185,184,182,181,181,170,176,180,178,177,176,173,172,171,170,168,167,165,164,179,181,183,185,186,186,186,186,186,187,186,185,184,191,149,135,181,180,179,178,176,174,174,172,170,168,166,165,180,182,185,187,188,188,187,187,188,188,188,187,185,195,150,109,181,181,180,180,179,177,176,174,172,169,167,166,182,184,186,188,188,189,189,189,190,190,189,188,187,195,147,110,180,182,181,181,180,179,177,175,174,172,170,168,184,186,188,188,190,192,191,192,192,192,190,189,188,207,158,115,179,185,182,182,181,180,179,176,175,172,171,169,185,188,189,191,192,193,193,193,193,192,192,192,191,213,163,113,176,186,183,183,182,181,180,177,176,173,172,171,187,189,190,193,194,194,194,195,194,194,193,193,196,207,154,108,176,187,185,185,184,182,181,178,177,175,174,172,188,190,192,194,194,195,195,195,196,195,194,193,200,198,153,104,180,188,186,186,185,184,183,181,178,177,174,173,189,192,194,195,196,196,197,198,197,194,171,163,201,190,154,110,185,189,188,188,187,186,184,182,179,177,174,173,192,194,195,196,197,198,197,181,174,185,150,113,162,163,135,111,191,191,189,188,188,187,185,183,181,179,176,174,193,195,197,196,188,177,196,156,113,135,155,116,91,104,97,119,195,194,191,189,188,188,186,184,182,180,178,175,194,196,199,204,178,122,154,157,111,121,155,113,74,81,82,148,195,194,192,191,190,188,186,185,182,181,180,178,196,198,205,211,187,135,123,163,115,114,142,104,71,77,78,157,195,195,194,191,188,180,173,177,183,182,180,178,197,199,217,217,192,139,97,147,107,102,132,96,69,69,72,157,197,196,193,183,178,159,141,132,137,176,181,178,198,204,219,204,183,138,82,119,98,113,141,109,66,67,75,161,195,195,200,183,152,129,114,107,94,148,182,180,199,206,229,206,182,132,81,133,109,127,182,127,74,80,87,146,189,194,178,129,90,95,123,138,132,169,184,182,201,209,231,212,172,120,93,164,145,130,205,129,78,100,122,154,183,175,129,86,114,180,190,189,188,187,184,181,200,211,230,207,169,157,120,184,184,99,139,112,108,135,132,147,150,122,88,129,191,195,194,191,188,187,185,182,201,210,227,208,182,162,121,157,148,100,153,171,157,145,122,123,106,83,129,195,198,196,195,192,190,188,186,184,202,208,223,212,192,172,171,180,190,174,169,162,150,136,114,95,83,110,193,200,199,197,195,193,191,189,188,185,203,207,218,210,192,169,159,170,185,175,165,155,137,127,102,79,121,190,202,201,199,198,195,194,192,191,188,187,203,207,216,205,181,152,144,160,167,160,153,136,125,112,84,136,199,204,203,202,200,198,195,194,193,192,189,187,100,149,197,189,163,139,155,161,158,147,135,121,103,91,150,202,205,204,202,201,201,198,196,194,193,191,188,187,61,73,163,184,182,177,167,155,147,127,102,78,116,180,205,207,205,203,202,201,200,198,197,194,192,189,187,186,65,64,83,141,170,168,153,140,129,102,74,108,203,209,208,207,206,205,203,202,200,199,197,195,194,191,188,187,60,61,60,70,105,122,129,121,102,76,62,176,211,210,209,208,207,206,205,202,200,200,197,196,194,191,188,180
21,153,154,156,160,162,163,163,164,165,168,168,166,167,167,167,168,168,167,166,166,166,166,166,164,163,163,161,161,155,156,159,160,162,164,166,167,167,167,167,168,167,168,169,170,169,168,168,168,168,167,166,166,165,163,162,162,156,158,160,162,164,165,167,168,168,167,196,169,148,172,172,172,172,171,170,170,170,169,168,167,166,166,165,164,158,160,162,165,167,167,168,169,171,169,206,190,128,162,175,172,173,173,173,173,172,171,171,172,169,168,167,165,160,162,164,166,168,169,170,172,174,169,186,211,138,138,179,173,175,175,175,174,174,174,174,163,171,170,170,167,161,163,166,168,170,173,172,173,174,174,174,212,181,139,169,176,176,177,177,177,173,186,177,117,167,173,172,170,163,165,167,170,172,174,173,175,175,177,171,205,212,148,150,182,178,178,178,179,173,200,166,110,170,175,173,173,164,166,169,172,175,175,175,177,178,179,176,195,219,158,134,180,180,179,180,176,186,205,146,128,181,174,175,174,165,167,170,173,175,176,177,178,179,179,179,183,219,175,132,172,183,180,181,178,203,196,131,152,184,176,177,175,167,169,172,173,176,177,178,179,180,181,181,198,206,191,129,158,188,183,180,187,202,173,117,171,181,178,179,177,168,171,173,175,178,179,180,179,180,177,192,228,204,188,135,115,183,185,181,203,198,142,128,187,179,180,180,177,170,173,174,177,179,180,180,182,181,198,199,201,212,186,161,132,152,188,191,207,191,124,164,188,181,181,181,179,171,173,176,179,180,180,182,184,186,225,201,179,217,203,196,192,142,144,180,186,156,123,188,184,184,182,181,180,173,175,178,180,181,183,185,182,196,199,202,189,149,152,207,199,149,104,138,150,115,151,193,185,186,185,182,181,174,177,180,181,184,185,188,183,200,203,151,132,95,87,159,207,164,113,108,120,105,178,189,186,186,186,184,183,175,179,180,182,185,187,188,184,205,192,152,152,124,107,119,212,191,134,97,99,116,192,188,188,186,186,185,184,177,179,181,184,185,187,188,185,210,213,191,160,127,132,123,198,214,153,104,85,134,198,189,190,189,188,187,186,178,180,183,185,187,188,190,187,220,216,168,142,130,149,149,209,221,173,123,83,140,199,190,190,190,189,189,188,179,182,184,185,187,189,191,191,220,202,162,150,156,163,177,228,217,179,137,92,139,201,190,192,191,190,189,189,180,183,185,186,189,190,192,192,222,214,182,171,169,173,204,229,210,176,140,92,141,203,191,193,193,192,191,190,179,183,185,186,188,189,192,191,222,218,192,171,181,188,217,229,210,169,144,96,141,204,192,195,194,193,193,191,180,183,185,186,188,190,193,190,219,224,199,176,182,199,227,227,210,169,139,96,149,204,193,194,193,192,192,191,181,184,186,187,189,192,193,190,216,227,200,190,185,208,229,218,202,165,136,94,155,205,192,194,195,193,192,191,182,184,186,188,191,193,195,193,212,229,207,208,198,211,229,216,195,165,130,91,153,207,195,196,196,196,194,193,182,184,186,190,192,193,195,194,203,228,216,215,209,205,221,200,185,160,121,87,154,208,196,198,196,195,197,191,182,185,187,191,193,195,197,197,196,222,223,217,206,195,206,183,172,158,115,84,162,208,197,200,201,204,196,131,184,188,190,194,195,197,199,199,198,217,226,213,189,174,186,176,167,161,109,84,186,206,199,202,197,157,113,86,166,171,175,177,180,182,185,191,176,186,224,201,172,153,167,179,162,152,90,100,207,199,202,196,131,91,87,81
13,163,165,167,169,170,173,174,176,177,180,179,178,179,179,179,179,179,179,179,179,177,177,178,176,176,175,175,174,164,166,169,171,172,174,175,178,178,179,181,180,180,181,180,181,180,180,181,180,178,179,179,178,176,175,176,176,165,168,171,172,174,176,177,180,181,180,181,181,181,182,182,183,181,180,181,181,180,180,179,179,178,177,178,177,167,169,173,174,175,177,180,181,182,181,182,184,184,184,185,184,183,183,181,181,182,182,180,180,181,180,180,179,168,170,173,175,177,179,180,182,182,183,184,184,185,186,183,184,181,184,194,166,133,168,184,183,183,181,181,181,169,171,174,176,178,179,181,182,184,184,186,185,184,175,194,195,150,150,213,168,105,110,176,160,171,184,182,181,171,173,176,179,179,180,182,183,186,186,185,193,188,141,158,207,157,127,205,165,108,69,150,130,100,181,184,183,172,174,176,179,180,181,183,185,186,186,188,220,201,158,110,195,165,120,200,157,102,74,155,137,74,158,188,184,173,175,177,179,182,184,185,186,189,186,205,220,212,169,107,175,169,104,185,164,89,109,179,139,65,136,191,183,173,176,179,180,183,185,187,188,188,190,218,187,205,171,100,150,169,98,185,180,101,89,125,90,56,137,192,185,174,177,180,182,183,185,186,187,186,203,218,191,202,153,92,147,157,91,109,137,82,71,118,109,68,146,192,186,176,179,180,182,184,186,187,186,198,222,201,171,192,135,91,170,144,101,29,33,38,116,172,169,100,157,192,188,177,179,181,184,186,187,189,186,209,225,191,152,170,135,91,178,152,98,28,85,118,159,174,169,116,156,193,188,179,181,182,185,187,188,190,189,218,220,193,157,135,140,80,186,193,104,106,198,190,165,138,124,102,124,195,189,179,181,183,186,189,190,192,192,228,219,199,181,150,113,78,153,168,146,202,201,178,155,127,101,88,93,192,192,180,182,185,187,190,192,192,195,234,218,201,184,169,132,126,130,179,208,209,190,167,144,117,95,83,96,194,192,182,185,187,188,192,192,192,198,234,219,200,189,174,147,135,150,211,218,202,177,151,133,108,92,73,143,198,193,183,185,187,190,193,194,194,196,231,221,203,192,178,154,140,171,214,215,197,169,141,120,99,83,81,188,196,194,184,186,189,192,193,194,195,196,230,223,207,193,177,159,155,188,202,198,182,160,136,112,90,68,114,202,196,197,184,188,190,193,194,195,195,196,230,222,205,192,173,159,174,191,176,175,162,145,126,101,75,82,177,199,196,195,186,188,192,194,195,197,198,195,231,220,210,192,172,168,185,184,164,160,142,126,107,78,96,179,200,198,197,197,187,188,192,195,196,197,199,200,236,223,218,195,180,180,191,175,157,143,126,112,83,95,187,202,200,199,199,199,187,189,192,195,198,197,194,216,240,228,222,194,187,190,184,162,144,122,112,88,89,183,205,202,200,200,200,200,188,189,192,194,198,199,194,229,229,226,218,192,189,185,173,146,124,108,94,81,166,203,203,202,201,201,201,201,188,190,193,195,198,198,199,228,213,209,202,185,182,181,157,129,114,101,76,149,206,204,204,203,202,202,201,201,189,192,194,197,199,195,204,225,204,190,186,172,178,176,138,123,110,83,104,197,207,205,203,204,202,201,201,201,189,193,195,197,201,189,215,224,195,186,181,168,170,155,126,118,96,76,153,208,208,207,204,203,203,203,202,201,190,193,196,198,199,189,230,219,182,178,181,167,156,139,119,107,78,92,186,209,207,207,206,205,205,203,203,201
5,141,145,149,152,154,157,159,161,162,165,167,167,167,171,172,174,175,176,178,179,179,180,182,181,181,182,183,182,142,147,150,153,156,159,160,162,164,166,167,168,172,173,173,174,175,178,179,179,182,182,182,181,182,183,184,183,143,147,151,154,157,160,162,163,164,167,170,169,148,172,175,175,177,180,181,181,173,181,182,183,183,183,183,183,144,148,152,155,158,161,160,166,167,167,169,183,124,159,178,176,179,181,179,188,144,162,186,182,183,184,184,184,145,150,153,155,159,162,175,141,163,171,170,188,126,155,182,177,179,180,182,191,127,156,190,183,185,186,186,185,146,150,153,157,162,158,192,150,137,175,172,195,135,157,182,178,181,181,190,159,117,181,186,187,187,187,187,186,147,151,155,159,162,159,179,175,126,173,176,194,141,154,183,179,180,189,187,122,144,193,185,189,189,188,187,187,148,153,156,160,164,163,173,202,143,161,183,180,126,153,186,180,183,188,157,123,185,189,188,189,189,189,188,189,148,154,157,160,165,165,168,215,165,143,186,169,131,151,187,177,177,156,115,159,194,187,188,190,191,190,190,189,150,155,158,162,165,166,165,204,192,136,180,165,145,147,185,170,168,113,135,194,189,190,191,191,192,192,191,191,150,155,159,163,166,168,166,183,212,176,156,153,147,136,164,166,156,117,182,191,189,190,190,192,193,192,193,192,151,156,160,163,166,167,169,171,207,208,168,131,139,120,132,157,132,142,195,190,192,193,192,192,193,193,194,191,151,156,160,163,166,167,170,171,188,218,193,150,121,117,121,126,117,175,194,192,192,190,192,194,195,195,194,194,151,156,160,164,166,167,170,173,174,214,201,161,123,110,114,111,121,192,187,184,181,179,184,186,184,184,188,187,152,157,162,165,167,168,172,174,171,208,205,160,122,106,106,109,120,155,174,175,167,180,194,189,183,183,173,144,153,158,162,165,168,170,172,175,174,217,203,164,128,103,103,107,124,134,155,157,131,134,153,147,150,168,158,123,154,159,162,165,169,170,174,173,182,227,194,159,127,106,102,108,120,125,118,122,133,167,171,171,171,177,147,137,153,157,163,167,169,169,174,169,200,226,184,155,124,105,104,107,109,113,143,171,194,202,199,183,181,148,139,192,153,158,163,167,169,171,175,172,216,216,178,150,119,104,106,110,97,150,201,203,197,187,169,172,164,124,194,200,153,158,163,167,169,172,173,183,228,210,174,138,118,103,103,114,125,146,151,174,173,168,178,175,131,147,205,194,155,159,164,167,169,172,170,200,227,200,164,138,122,101,106,121,139,150,147,143,165,175,170,143,141,190,200,197,154,159,165,167,169,171,172,218,220,190,157,145,126,100,116,144,157,162,154,149,166,148,139,170,201,201,199,198,155,159,165,167,170,168,185,226,215,186,158,148,127,100,124,158,159,162,157,136,126,146,190,204,199,199,199,198,156,160,164,167,170,167,210,223,206,183,159,144,126,103,132,163,152,160,144,116,157,200,200,198,199,199,199,198,156,160,165,169,166,185,225,211,201,179,145,133,118,104,140,157,147,146,132,177,203,198,199,199,199,200,200,198,156,160,165,169,166,210,216,200,192,167,132,127,110,113,138,141,141,132,183,202,197,199,200,199,199,200,200,198,156,160,166,165,189,213,202,193,190,166,122,119,112,119,122,128,145,182,201,196,199,199,199,200,200,200,200,200,156,161,165,167,215,204,197,187,196,161,111,121,123,112,113,154,195,199,198,199,199,199,199,201,201,200,200,200
0,191,192,193,193,194,195,195,196,196,196,195,194,195,195,195,195,195,195,195,196,195,195,196,196,193,194,194,193,192,194,194,194,194,196,197,196,197,196,196,196,196,197,196,195,195,197,197,197,196,197,197,197,196,196,196,196,194,195,196,196,196,196,197,197,197,197,197,196,194,196,204,188,161,171,194,188,191,198,198,195,196,197,198,198,195,195,196,197,198,197,197,198,198,199,201,197,170,165,210,182,154,132,133,147,145,179,184,153,192,199,199,198,196,196,197,198,199,198,198,199,199,199,220,205,169,141,183,186,167,146,92,138,136,125,168,121,182,201,199,199,197,198,199,199,199,199,200,204,183,176,223,204,177,153,174,202,174,152,101,157,143,121,145,122,173,201,201,201,197,198,200,200,200,201,204,224,180,152,188,212,185,161,162,219,186,158,107,169,147,114,119,129,145,204,202,202,197,199,200,200,202,200,215,220,190,167,162,224,191,161,147,221,188,155,104,169,143,102,105,136,102,194,201,203,198,200,200,200,200,211,208,212,200,174,143,213,194,156,129,218,183,142,87,140,130,94,96,141,93,151,204,204,199,201,201,201,203,215,187,205,207,178,136,188,195,151,110,193,170,127,80,114,114,86,99,146,102,123,206,205,201,201,203,201,211,205,174,184,202,176,133,158,187,142,96,156,155,121,82,98,103,79,118,155,113,126,207,207,200,202,203,202,213,202,177,168,187,161,121,127,171,132,87,123,148,116,80,101,107,89,158,170,123,130,207,208,199,200,201,205,213,194,165,140,171,150,116,105,162,128,79,99,148,113,82,121,118,112,180,171,123,139,207,207,199,200,201,202,223,206,171,133,141,145,112,93,156,134,78,96,155,124,139,175,150,124,174,171,120,152,207,207,200,201,201,204,224,211,178,142,107,133,125,95,159,146,93,106,161,168,180,176,158,134,133,155,113,155,206,206,201,201,201,207,228,215,190,158,125,114,131,111,161,161,148,179,191,187,178,165,147,132,114,115,98,151,207,207,202,202,202,208,228,220,198,172,154,144,143,158,176,187,198,202,201,191,175,158,137,120,111,94,88,149,209,208,202,202,202,207,223,223,207,187,172,161,152,158,179,192,203,203,202,191,170,154,133,112,101,91,86,171,209,209,201,202,203,204,219,220,213,199,188,170,161,159,173,190,201,200,195,186,165,149,128,109,96,89,132,203,211,210,199,201,201,197,216,220,220,209,193,175,163,162,173,194,203,199,189,179,162,145,123,103,89,121,198,208,211,210,165,169,173,169,201,218,224,210,195,178,166,162,174,197,200,194,182,172,157,136,114,96,96,186,208,210,210,210,102,105,107,104,155,214,216,204,196,183,169,158,173,193,190,179,167,157,144,124,106,94,114,161,167,169,173,173,104,105,103,101,123,212,204,196,196,187,174,158,169,188,182,166,147,135,123,112,97,96,99,102,105,105,122,152,103,104,104,104,113,208,193,193,197,187,172,158,164,185,176,154,125,111,104,97,98,105,104,105,132,174,208,206,102,102,103,103,110,206,192,194,197,184,172,163,159,177,168,139,106,94,90,97,108,116,141,182,213,215,209,194,102,101,102,103,107,210,204,196,195,181,169,165,153,164,158,125,96,88,89,103,126,192,224,232,226,221,213,194,102,103,102,102,103,208,211,203,194,179,170,169,148,155,152,117,91,85,96,146,212,231,235,230,220,225,227,213,103,102,102,103,104,198,210,209,194,179,170,169,145,147,148,112,86,80,150,215,225,231,232,219,216,222,231,231
6,255,255,255,254,255,255,255,255,255,254,254,253,250,249,248,245,245,243,242,241,239,238,236,233,233,231,227,224,255,255,255,255,255,255,255,255,255,255,255,255,254,253,251,249,248,246,245,244,242,240,239,237,235,233,231,228,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,251,250,249,247,244,243,242,239,238,234,231,230,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,253,251,249,248,248,247,245,241,239,234,232,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,244,241,238,230,224,225,224,235,237,255,255,255,255,255,255,255,255,255,255,255,255,255,253,242,233,224,207,187,191,199,200,182,190,249,229,207,241,255,255,255,255,255,255,255,255,252,226,214,203,206,203,198,188,188,183,166,191,189,178,180,180,217,191,193,244,255,255,255,255,255,255,255,240,213,189,185,193,197,207,207,202,182,168,155,147,138,145,149,142,157,191,234,242,255,255,255,255,255,250,229,224,214,183,158,167,175,168,151,146,127,121,139,169,192,214,226,240,251,253,247,243,255,255,255,255,236,217,222,218,202,176,131,116,93,130,204,211,221,229,252,255,255,255,255,255,252,249,248,247,255,255,255,231,213,219,223,219,216,206,169,110,74,118,207,246,255,255,255,255,255,255,255,255,254,252,250,248,255,255,236,218,225,230,230,230,233,214,147,95,93,87,80,88,121,248,255,255,255,255,255,255,255,254,252,250,254,225,225,235,234,235,232,219,226,173,99,84,88,94,98,96,67,158,255,255,255,255,255,255,255,255,253,250,219,225,237,236,232,233,214,208,215,171,130,92,66,82,91,98,90,76,245,255,255,255,255,255,255,255,254,250,226,232,237,238,236,219,208,216,217,220,198,129,77,77,75,76,89,161,255,255,255,255,255,255,255,255,255,253,229,231,239,239,228,210,209,213,210,217,185,113,86,86,91,69,199,255,255,255,255,255,255,255,255,255,255,254,228,237,239,225,212,207,205,201,197,192,150,90,76,81,91,58,196,255,255,255,255,255,255,255,255,255,255,255,231,229,214,212,214,208,207,193,177,178,166,115,65,75,70,142,255,255,255,255,255,255,255,255,255,255,252,252,217,203,201,209,203,192,181,172,177,196,202,141,84,93,67,209,255,255,255,255,255,255,255,255,255,255,255,255,203,203,203,193,176,170,170,178,188,200,187,122,86,82,60,214,255,255,255,255,255,255,255,255,252,226,182,140,203,201,188,176,171,172,171,165,161,157,119,76,88,99,191,255,255,255,255,255,255,255,255,207,124,91,80,77,187,172,158,168,171,168,149,125,108,94,89,169,242,255,255,255,255,230,213,158,140,142,128,89,83,87,69,76,144,115,107,132,143,135,113,97,101,151,217,255,255,255,255,255,169,109,98,58,69,68,62,73,66,79,67,52,93,74,91,119,121,117,111,117,137,160,163,153,156,162,161,133,99,91,90,70,53,74,59,65,57,61,62,44,78,97,155,151,151,153,152,150,149,144,143,142,124,109,92,82,79,77,63,77,43,63,55,53,55,58,50,45,73,132,170,157,158,165,160,153,160,160,161,144,95,74,83,76,66,68,63,70,48,47,53,48,52,56,43,50,81,143,154,151,154,155,151,149,152,147,124,86,78,58,68,74,61,59,57,61,54,35,49,47,51,54,38,51,92,151,151,152,157,154,151,152,143,116,99,60,69,60,54,71,55,55,50,53,55,34,45,47,50,51,40,50
12,153,154,155,157,157,157,157,157,158,159,158,157,157,156,158,159,156,154,154,153,153,152,151,150,149,148,147,145,154,157,158,158,159,159,158,158,159,159,160,160,158,158,151,140,149,158,154,154,154,152,151,151,151,149,147,146,156,157,158,159,160,160,160,160,160,160,159,150,157,160,125,105,89,141,162,157,157,155,152,152,151,151,148,147,157,159,159,160,160,160,161,162,160,161,147,113,100,131,133,115,88,94,148,123,114,139,157,151,151,150,149,148,158,160,160,160,161,162,161,161,160,167,146,123,97,90,144,121,103,86,84,104,92,76,139,158,152,151,150,149,159,160,161,161,162,162,163,163,161,170,154,133,117,84,140,129,109,90,69,100,98,63,93,163,153,153,151,150,159,161,161,161,163,163,163,163,166,171,165,139,121,86,120,133,111,93,62,97,95,69,73,160,154,153,152,151,161,163,162,163,163,163,164,163,171,156,171,145,122,92,97,133,112,94,62,87,100,71,75,161,154,154,153,152,161,162,163,163,163,164,162,161,153,110,144,150,117,97,86,134,114,97,67,80,102,69,87,165,154,155,154,153,161,162,163,163,164,161,161,165,140,97,91,146,121,96,71,130,123,101,77,63,90,64,115,166,155,156,155,154,162,163,164,164,164,172,172,156,121,96,69,126,123,88,63,122,145,119,88,61,77,58,130,164,157,157,155,154,163,163,165,164,170,171,153,143,114,105,73,110,124,96,72,129,157,124,90,67,84,70,146,162,158,157,156,155,163,164,164,164,180,163,132,144,120,111,79,87,133,124,87,105,141,106,73,67,88,68,134,167,159,157,157,155,164,164,163,170,167,149,117,116,128,107,79,70,137,131,105,60,59,58,55,81,88,54,85,169,158,158,158,156,164,165,164,170,160,137,118,88,116,112,93,63,119,130,99,63,46,72,79,79,66,60,64,157,162,159,158,157,163,165,166,168,169,150,131,104,92,122,94,67,52,92,94,65,82,100,110,96,74,65,74,161,161,160,158,158,164,166,167,168,172,155,134,114,89,106,89,81,48,96,144,126,120,112,117,100,79,52,109,171,160,161,159,157,165,166,168,169,173,161,140,121,100,84,98,104,77,140,165,153,134,118,113,94,74,50,136,170,161,161,159,157,165,166,167,171,168,155,138,120,100,85,90,101,116,162,158,145,128,115,103,91,67,56,156,165,162,161,159,158,166,167,168,169,158,147,138,120,96,103,84,108,150,156,150,137,123,111,97,88,55,96,173,161,163,161,160,159,166,168,169,167,158,150,140,118,97,112,99,140,153,151,146,130,117,104,91,72,65,159,166,163,163,162,160,159,167,168,169,170,161,149,141,122,108,106,108,145,145,150,143,125,107,95,87,55,104,177,164,165,163,163,162,160,167,169,169,170,163,151,143,130,113,97,106,144,140,143,131,117,98,86,75,51,151,172,167,165,164,163,162,161,166,169,169,170,168,159,144,127,112,93,101,133,133,130,119,102,86,80,52,91,177,168,167,165,164,163,163,162,166,169,170,170,170,158,142,129,116,103,101,124,126,115,105,94,80,65,55,158,172,167,166,165,165,164,163,162,168,169,170,170,172,153,133,124,112,110,104,118,128,116,102,90,78,46,123,178,167,168,167,166,164,164,164,163,168,169,171,170,172,152,136,129,124,123,113,117,125,114,99,86,60,80,175,170,170,168,167,167,165,164,164,163,168,169,170,166,169,153,138,138,132,125,118,119,123,109,84,76,55,139,177,169,171,169,168,168,167,165,164,163
14,167,169,171,173,173,174,176,175,176,177,178,176,177,177,176,175,174,173,173,173,171,171,170,169,167,167,165,165,168,171,172,174,175,176,178,179,179,179,180,179,180,179,179,179,177,176,175,175,174,174,172,171,170,169,169,168,171,173,174,176,178,179,180,180,180,181,181,181,182,183,181,182,180,179,178,177,176,174,174,174,172,172,171,170,172,174,176,179,179,181,183,183,183,184,183,184,182,182,183,184,183,181,180,180,179,178,177,175,174,173,173,172,173,176,178,180,181,183,186,186,186,186,186,187,195,175,166,174,174,185,183,182,181,180,179,177,176,175,175,174,174,177,180,181,183,185,186,187,187,188,191,204,197,178,165,161,146,155,182,185,183,182,181,181,179,178,177,176,177,179,182,185,186,186,187,189,190,191,207,204,199,180,185,170,140,115,122,190,185,185,184,182,181,180,179,178,180,182,183,186,188,188,187,190,190,202,209,203,180,104,159,160,156,115,68,136,192,187,186,183,182,182,181,180,181,183,185,187,189,191,189,193,198,213,177,133,117,80,74,90,168,156,74,81,183,188,187,186,185,183,182,182,182,185,187,190,192,194,193,211,221,206,160,107,66,59,50,37,142,180,119,76,169,192,189,188,186,184,184,184,186,188,188,191,194,193,204,223,208,170,136,108,75,42,55,40,87,140,120,77,139,196,191,189,187,187,186,185,186,188,190,193,194,194,223,218,193,138,86,80,68,50,45,75,174,160,158,112,115,199,191,191,190,188,187,187,186,188,191,194,192,219,228,208,189,135,87,55,53,45,99,185,200,189,164,95,110,200,194,194,191,190,189,188,188,191,195,190,212,233,215,205,171,124,96,58,44,73,194,206,198,175,154,86,98,202,196,196,195,193,192,191,190,193,193,202,237,227,215,198,165,133,91,41,33,108,183,207,199,161,145,88,65,172,201,197,197,195,194,192,193,196,192,228,240,225,209,189,160,118,77,44,56,65,76,180,173,144,136,101,75,133,206,200,198,196,195,194,194,194,207,242,235,219,202,183,139,96,62,67,88,89,87,97,122,152,140,98,78,169,205,201,199,197,197,196,194,195,231,237,225,211,192,167,120,96,66,94,105,109,112,100,114,142,125,79,146,206,203,202,200,200,199,197,195,214,242,228,216,199,185,158,121,95,85,106,110,115,107,113,107,129,91,121,206,203,203,202,201,200,199,198,172,236,241,221,203,192,174,152,127,92,93,110,110,109,97,114,96,80,111,205,208,206,205,203,202,202,200,199,82,156,221,209,183,166,151,135,99,84,91,100,106,99,92,95,65,96,199,211,207,207,207,205,203,203,202,200,80,73,111,161,171,140,106,76,64,76,78,84,92,85,76,98,150,205,214,209,209,208,207,207,206,204,203,202,72,73,69,79,90,84,71,58,57,61,62,63,66,72,128,205,219,214,212,211,209,209,208,207,206,206,203,202,69,67,70,69,32,29,37,35,32,33,29,66,123,174,217,216,215,214,213,213,212,210,209,208,207,207,205,203,67,66,63,69,56,14,27,26,22,21,16,47,199,224,217,216,216,215,214,214,213,211,210,209,208,207,206,205,64,61,60,64,63,14,19,23,21,20,17,32,198,222,218,217,217,217,215,215,214,212,212,210,209,208,207,206,54,58,54,61,63,10,16,19,19,18,12,96,229,220,220,219,218,217,216,216,215,214,213,212,211,209,208,207,66,94,48,65,46,6,16,16,15,15,10,150,229,219,220,220,218,217,216,216,216,214,214,213,212,209,209,208
10,140,143,147,150,152,155,157,159,158,160,161,162,163,162,163,163,163,163,164,164,164,164,165,163,163,163,161,161,143,146,150,153,155,158,160,162,162,163,164,165,166,166,167,165,166,166,166,166,166,166,167,166,166,165,165,164,146,149,152,156,158,161,164,165,166,166,167,168,170,169,168,172,170,169,170,170,168,168,169,170,170,168,168,167,148,152,155,159,162,164,166,168,169,170,171,171,171,173,171,137,173,173,172,172,171,172,173,172,172,172,171,170,151,154,158,160,164,167,170,171,172,173,174,174,173,177,186,117,148,182,173,174,173,175,175,176,175,174,174,172,153,157,160,163,166,170,172,173,174,175,177,177,178,176,190,158,116,177,177,177,177,178,178,178,178,176,175,174,156,159,162,166,169,172,174,175,177,177,178,179,182,180,187,188,128,153,186,178,179,179,181,180,180,179,179,177,157,161,165,168,171,174,176,177,178,179,179,180,175,173,190,208,165,125,186,181,181,182,182,182,181,180,180,179,159,162,166,171,174,176,177,178,179,181,180,187,173,110,158,215,195,119,161,190,184,186,185,185,185,183,181,181,160,164,169,173,175,178,179,181,182,183,183,188,192,132,97,196,207,138,129,194,185,187,187,187,186,186,185,184,163,167,171,172,176,179,181,183,185,186,186,185,208,195,141,142,193,162,109,191,187,188,190,189,188,188,187,186,164,168,172,174,178,180,182,184,186,188,187,199,181,221,189,111,128,182,98,180,191,191,191,191,190,190,188,188,166,169,173,176,179,182,185,185,186,188,198,200,140,148,192,127,84,125,94,161,198,190,192,192,192,192,192,191,166,169,173,177,179,183,186,188,185,203,210,183,137,61,151,163,97,69,73,115,202,193,194,193,192,193,194,193,166,170,174,178,180,185,187,188,186,204,217,145,90,26,94,159,126,76,65,80,183,199,194,195,194,193,193,193,167,171,175,179,182,186,187,191,201,180,211,171,104,33,71,147,150,118,77,70,162,204,194,197,196,195,194,194,168,171,176,180,184,187,187,194,216,199,182,212,180,75,84,174,165,145,87,62,151,207,195,198,199,197,195,195,169,171,176,181,185,187,188,190,193,217,188,167,197,147,136,193,170,149,95,58,146,210,197,199,199,198,198,197,168,171,176,179,183,186,186,192,170,179,181,121,171,176,113,198,172,140,104,61,140,210,198,200,199,198,198,198,169,172,176,179,182,186,186,191,203,172,155,132,112,159,181,209,180,139,96,65,139,210,197,199,198,197,197,197,169,172,176,179,182,185,186,189,212,202,158,143,137,212,224,206,174,129,92,67,147,210,197,199,198,197,197,198,169,173,177,179,182,186,188,188,202,209,178,172,169,221,210,193,163,114,91,72,139,210,198,199,199,199,198,198,170,174,177,181,183,185,187,189,195,209,188,199,176,216,202,174,150,116,107,83,128,211,198,200,200,200,199,198,168,174,179,183,187,190,192,195,197,203,201,209,177,192,197,168,154,128,132,90,139,214,200,202,202,201,200,199,104,110,114,117,122,128,132,134,135,195,211,206,188,165,185,169,168,142,130,87,142,196,189,194,196,198,199,200,90,90,89,86,86,88,89,92,84,146,209,191,178,163,164,175,185,145,114,88,93,101,104,106,110,112,112,116,96,97,96,100,102,102,100,99,99,103,187,174,168,162,160,179,184,142,106,86,101,100,98,99,98,97,95,95,94,94,95,98,98,100,99,97,100,90,162,179,167,165,172,168,173,143,102,86,111,108,106,110,109,110,110,112
6,185,188,191,194,198,201,203,205,207,209,211,210,212,214,215,216,216,216,216,216,217,218,218,217,216,216,215,214,186,190,193,196,199,201,203,206,208,209,211,211,213,215,215,216,216,216,217,218,218,218,218,217,217,217,216,216,186,189,192,196,199,201,204,206,208,209,212,212,214,214,216,217,217,217,218,218,218,218,218,218,218,218,217,216,187,190,193,197,200,203,207,208,209,210,212,214,215,216,217,218,218,218,219,219,219,220,220,219,218,217,218,218,187,192,195,198,201,203,206,208,209,211,212,215,216,218,217,218,220,222,222,221,221,220,220,220,220,219,219,219,188,191,196,199,202,205,207,209,211,211,212,216,218,218,217,218,221,220,222,222,221,222,223,223,223,221,220,219,189,193,196,200,202,204,207,209,211,210,212,211,213,216,213,214,214,219,218,213,213,203,201,211,218,221,221,220,190,194,198,198,204,216,220,209,211,217,221,224,227,230,218,221,221,236,232,220,215,199,185,204,208,192,223,220,189,190,192,211,231,237,229,208,193,201,223,229,231,228,217,213,223,219,216,214,205,193,184,193,186,179,225,220,185,198,223,239,236,233,227,215,177,153,174,180,183,186,186,184,178,173,177,177,174,175,181,188,193,216,224,221,216,239,238,228,229,235,239,218,177,139,130,124,126,147,158,169,190,208,213,216,218,221,223,223,225,223,222,222,240,234,228,232,237,236,218,181,164,145,137,138,129,139,200,228,226,224,224,225,225,225,223,223,222,222,222,222,237,233,234,232,232,222,207,185,157,141,136,145,149,139,145,170,224,226,224,225,224,224,225,224,224,223,222,222,237,237,234,232,233,232,239,213,158,143,129,130,147,151,149,122,152,226,225,224,225,225,224,224,224,224,223,223,232,233,232,230,232,242,237,197,159,147,148,144,137,138,150,148,117,164,232,224,226,225,224,224,224,224,223,222,230,231,228,226,235,242,212,178,160,154,151,153,151,128,126,132,134,137,227,226,226,225,225,224,224,225,223,223,222,223,220,221,228,229,207,177,152,142,150,160,168,148,135,126,122,165,225,222,223,221,221,221,220,220,220,220,224,224,222,220,225,227,217,181,148,127,125,138,172,168,151,136,129,151,161,158,156,157,155,155,154,153,152,151,226,227,229,227,233,232,216,171,147,150,147,142,133,144,152,146,143,133,128,130,131,131,130,127,127,127,125,125,225,224,221,220,231,223,202,168,154,158,156,151,144,136,131,138,140,137,138,138,138,139,137,136,135,135,135,133,216,209,203,210,216,205,191,172,162,161,160,150,141,136,138,143,143,142,139,137,136,136,136,137,135,134,133,132,202,198,193,202,202,187,173,163,153,148,154,152,150,147,143,143,142,143,139,139,138,136,136,137,136,135,136,134,188,185,178,174,170,158,147,142,139,130,134,139,145,145,141,139,141,140,138,137,136,136,136,136,135,135,134,135,166,158,148,143,142,143,144,143,143,143,142,140,142,142,141,141,140,140,139,139,137,137,137,136,136,134,135,130,135,139,141,141,143,144,145,145,144,144,144,143,143,142,142,141,139,140,139,140,137,136,137,136,136,135,128,149,140,143,144,144,144,143,143,143,143,143,143,141,142,142,141,139,138,139,138,138,137,136,137,136,138,128,138,224,144,144,144,145,145,143,143,143,143,143,142,142,142,141,141,140,139,139,139,138,138,138,137,139,138,126,210,228,144,144,144,144,143,143,142,141,142,142,141,142,142,141,141,140,139,138,138,139,138,137,137,143,129,185,237,202
6,202,202,203,204,204,204,204,204,205,207,206,207,207,206,207,207,205,206,206,207,206,206,205,205,204,203,203,203,203,203,204,206,206,205,206,206,206,206,206,207,209,208,208,209,208,208,208,208,207,208,207,206,206,205,204,204,204,204,205,206,206,206,207,208,207,206,206,207,208,209,210,210,209,209,210,210,210,210,208,207,207,205,205,207,204,205,205,206,207,207,209,209,209,209,208,208,209,210,211,212,212,211,210,212,210,208,208,210,206,209,208,207,205,206,206,206,209,209,209,209,209,210,213,211,211,211,209,204,198,200,198,199,194,187,172,173,193,189,206,209,207,207,208,209,209,209,209,210,211,209,207,204,195,195,197,189,193,196,212,212,200,189,175,163,177,155,200,212,205,207,207,209,210,212,211,206,197,189,192,192,192,207,208,194,184,187,190,181,166,148,139,144,151,174,212,211,204,206,208,211,210,208,205,199,189,179,177,183,187,180,171,153,139,131,131,145,155,167,182,197,207,213,212,211,205,207,208,206,205,203,202,202,189,166,143,135,128,115,113,113,118,156,198,213,217,219,218,215,213,212,211,211,205,205,203,199,197,199,201,200,197,181,134,100,88,94,122,159,196,220,217,216,212,211,212,212,212,211,210,210,205,197,195,197,200,196,200,204,203,170,128,96,90,95,120,216,220,210,214,213,212,211,212,212,212,211,210,209,195,196,197,196,195,199,207,206,175,125,110,96,91,99,95,117,199,222,212,214,213,212,212,212,212,211,211,211,197,199,195,196,197,203,202,202,189,162,119,89,89,106,103,89,95,190,222,213,214,214,214,214,213,212,211,211,204,199,196,199,203,200,202,214,215,185,130,90,83,98,118,115,95,98,211,217,215,216,215,214,212,212,212,211,200,201,200,197,201,206,204,217,207,162,119,93,91,90,98,105,109,82,177,223,214,215,214,215,214,212,212,212,202,202,199,197,200,202,199,205,196,151,109,93,94,94,83,85,91,110,203,224,219,219,219,219,219,218,214,211,204,198,194,192,188,190,193,198,196,166,117,81,89,99,100,97,81,160,196,196,200,203,206,204,198,198,209,216,200,196,195,193,190,193,198,204,208,178,119,84,74,85,118,97,91,107,105,110,113,111,106,116,154,191,220,220,195,201,200,196,197,201,204,211,205,163,103,89,89,79,88,102,103,108,104,102,96,123,154,188,220,219,227,227,198,199,193,192,192,187,183,193,169,132,105,95,93,89,88,110,121,107,117,133,172,219,233,210,196,203,205,218,193,185,180,183,174,163,162,163,141,121,108,103,99,89,91,101,128,183,210,217,225,211,203,205,194,185,197,202,178,180,173,164,156,151,150,145,126,108,104,106,105,93,102,155,224,239,229,218,207,192,182,185,191,181,173,177,155,160,157,146,140,132,120,118,118,107,109,104,107,142,206,241,229,212,210,205,191,175,172,172,181,177,166,171,113,119,119,116,107,102,102,106,108,111,101,139,204,240,239,230,219,206,200,205,181,157,165,165,169,172,166,167,86,87,95,97,99,105,109,109,113,96,156,223,235,228,220,213,202,201,201,201,173,139,155,161,156,167,162,158,97,98,108,110,105,107,110,110,95,164,234,213,216,201,210,204,188,194,201,202,169,126,139,152,153,159,154,162,104,105,106,105,105,107,106,96,169,232,206,198,199,199,207,193,179,183,196,200,171,121,122,142,147,151,160,155,105,104,104,105,106,104,115,183,227,210,198,187,197,198,203,184,170,171,188,201,173,124,115,132,146,154,164,147
24,174,176,177,179,179,180,180,180,181,181,181,182,182,182,181,181,182,181,181,181,180,179,178,172,104,33,17,20,177,179,180,181,181,182,183,183,183,183,184,184,185,185,184,183,184,184,184,183,182,181,181,159,86,38,29,26,180,181,183,183,184,185,185,186,186,186,187,187,186,187,187,186,187,187,187,186,185,184,184,161,74,38,40,48,182,183,185,186,187,188,188,188,188,188,189,189,189,189,189,189,189,188,188,188,187,187,186,173,90,43,54,52,184,185,186,187,188,189,191,191,191,191,191,192,191,191,192,193,192,192,192,191,190,189,187,185,130,50,53,39,185,187,188,190,190,192,193,193,193,193,193,194,194,194,194,194,194,194,194,193,192,191,190,189,168,73,46,31,187,189,190,192,192,193,195,195,194,194,195,195,195,195,196,196,196,196,196,195,194,194,193,192,190,108,43,27,189,191,193,193,192,187,196,196,195,196,196,197,197,198,198,198,199,199,198,198,196,195,195,194,194,149,46,33,191,192,195,195,194,156,180,199,198,199,199,199,199,199,200,199,200,200,200,200,199,197,197,196,196,178,117,113,192,193,195,196,192,146,147,200,199,200,200,200,200,200,201,201,201,201,201,201,201,199,199,198,197,185,142,176,193,194,197,198,197,159,118,188,201,201,201,200,200,202,202,202,202,202,202,202,201,201,200,199,199,186,162,193,194,195,198,200,199,176,124,155,202,201,201,201,202,203,204,204,204,204,204,185,192,202,201,201,200,196,179,155,195,197,199,200,201,194,153,122,188,203,203,202,204,197,188,204,196,178,203,166,143,194,202,202,201,197,177,132,195,198,199,200,201,201,178,132,146,199,204,203,211,197,164,186,187,136,165,180,121,177,206,202,200,189,156,127,196,199,200,201,202,203,194,168,140,167,203,203,220,216,186,157,178,145,149,188,129,177,207,202,206,180,129,109,196,199,200,200,201,203,200,184,156,153,185,201,205,221,206,150,159,164,143,183,143,175,206,203,206,148,117,158,195,198,199,200,201,202,202,196,181,183,176,184,182,197,213,162,132,165,144,189,145,155,185,199,184,118,163,202,196,198,200,201,201,202,203,203,209,200,179,161,150,154,198,175,118,141,152,189,154,114,163,185,149,135,196,200,196,198,200,201,201,202,204,205,212,211,172,150,128,123,162,178,118,131,164,174,174,124,170,160,128,181,202,200,197,199,201,201,202,203,205,206,208,218,211,173,133,130,142,171,135,128,177,139,156,167,169,131,134,200,203,201,197,200,202,202,203,204,205,207,207,217,224,211,172,131,137,163,156,124,181,146,187,182,157,118,167,206,203,202,156,159,162,166,169,173,177,180,182,196,229,224,213,161,133,161,186,168,190,199,200,162,140,129,196,205,203,202,102,102,103,105,105,106,108,108,108,129,217,220,220,192,150,143,190,225,230,220,184,149,125,118,148,155,171,186,102,103,104,104,103,103,104,104,104,105,180,216,223,211,170,146,160,216,224,201,167,137,114,126,151,177,197,209,104,102,103,103,104,105,104,105,105,103,131,211,226,213,178,150,149,193,207,182,156,119,128,198,208,206,209,218,103,102,102,102,104,104,104,106,106,106,106,183,211,189,161,142,145,170,184,163,133,110,156,185,193,205,202,207,102,103,103,102,103,103,104,106,106,106,102,159,205,175,164,153,151,162,169,148,113,121,189,173,164,182,192,195,100,101,102,103,104,103,104,105,105,104,103,145,207,191,184,170,160,163,165,138,102,131,190,180,141,155,179,190
21,153,155,158,159,160,160,160,161,162,162,162,165,164,164,164,163,162,162,162,163,162,161,160,160,159,157,157,156,157,159,163,163,164,163,164,165,166,167,163,142,166,167,167,166,166,166,167,167,166,165,164,163,161,160,160,159,161,163,165,166,168,168,167,168,169,171,174,108,146,174,170,171,171,170,169,169,168,168,167,166,165,165,164,162,165,166,168,169,170,171,172,173,173,174,179,112,124,180,175,175,174,175,172,172,171,171,170,168,168,168,166,165,168,170,172,173,174,174,175,176,176,177,183,114,107,182,178,166,137,165,179,176,176,174,173,173,172,171,170,167,172,173,176,177,179,179,179,180,180,180,190,132,101,181,181,162,115,120,185,180,178,177,176,175,176,174,173,171,175,177,180,181,182,182,183,182,183,181,199,165,103,172,187,162,117,103,186,184,182,181,180,179,178,176,175,173,178,180,182,182,184,184,185,186,186,185,202,173,105,155,191,164,119,98,179,189,185,184,183,182,180,180,179,177,180,182,185,186,186,187,188,188,188,186,203,185,123,140,195,173,142,106,175,190,188,187,186,186,184,183,182,180,183,185,186,188,188,189,190,190,189,190,180,171,149,128,197,170,141,107,172,193,190,189,188,187,186,186,184,182,186,189,188,189,190,191,191,192,192,198,174,133,127,118,197,166,152,107,171,197,193,191,190,189,189,188,187,184,187,189,190,191,192,193,193,195,193,211,198,150,88,98,194,172,170,122,172,199,195,193,193,192,191,190,189,188,189,191,193,194,195,196,196,197,197,210,208,155,113,146,150,140,148,129,135,201,197,196,195,194,194,193,191,189,191,193,195,196,196,198,199,197,191,177,191,157,105,127,120,133,127,130,113,180,202,198,197,196,195,195,193,192,194,196,197,199,199,201,201,200,183,124,144,174,94,56,100,118,97,163,136,140,206,200,200,199,198,196,195,194,195,197,200,201,201,202,202,205,193,144,100,178,127,67,75,71,134,196,169,118,190,203,201,200,200,198,197,195,196,199,199,201,201,202,205,197,189,170,101,161,148,69,88,150,138,188,175,118,138,208,202,201,201,199,199,198,198,200,200,202,203,204,205,210,177,168,108,86,92,56,91,184,180,167,141,106,96,200,204,202,201,199,200,199,199,201,201,203,205,206,204,199,159,153,108,75,62,75,135,191,194,163,115,93,95,199,206,204,202,201,200,200,200,202,202,206,208,208,204,199,190,141,131,110,78,122,185,202,187,158,114,87,118,211,207,206,204,203,201,201,201,203,204,206,207,209,205,208,182,160,142,131,95,157,208,201,188,154,110,77,162,215,208,207,206,205,203,202,202,204,206,207,208,210,208,210,193,173,135,176,164,202,216,207,187,137,99,81,196,213,209,208,207,207,205,203,203,205,206,208,208,210,210,207,202,163,158,176,189,217,226,215,171,119,84,106,215,211,210,209,209,207,206,205,204,206,207,208,210,210,211,195,196,177,172,161,184,207,219,199,149,109,77,147,220,214,211,210,210,208,208,206,204,205,206,208,209,210,211,191,190,184,176,160,176,194,192,166,122,94,82,194,217,214,213,212,210,209,210,210,202,205,206,208,208,209,213,203,180,178,173,168,160,165,168,136,97,76,136,220,216,214,213,213,211,210,207,195,203,205,207,208,209,209,212,213,181,176,170,173,152,150,155,120,85,83,200,216,215,213,213,212,211,209,205,132,205,206,208,208,210,211,212,215,188,170,157,158,143,140,142,112,74,111,217,215,215,215,214,212,215,179,146,104
12,134,139,143,145,148,151,152,155,155,156,156,156,157,156,156,155,156,156,156,154,153,152,151,150,150,149,147,145,136,140,144,147,150,152,154,157,157,157,158,158,158,158,158,161,159,156,157,155,155,156,154,154,153,150,149,148,137,140,144,148,150,153,156,157,158,160,159,158,160,164,158,141,152,162,159,163,158,158,158,157,156,154,152,151,138,142,145,149,152,155,157,158,160,160,167,152,119,145,176,136,97,143,155,131,157,161,159,158,157,156,154,154,139,143,146,149,154,156,157,159,162,159,188,187,153,108,134,188,136,79,110,112,97,162,161,160,158,158,157,156,142,145,148,151,155,158,161,163,160,174,187,186,180,128,64,150,157,81,47,119,78,111,171,160,161,159,158,157,143,147,151,155,157,159,162,164,158,196,160,159,183,117,57,123,143,82,38,86,87,55,164,163,161,161,160,158,145,148,153,156,159,164,163,162,167,137,102,167,163,100,47,132,130,71,47,90,75,56,166,164,163,162,161,160,147,150,155,157,162,162,165,190,179,105,57,110,145,117,40,117,158,89,48,114,78,72,174,164,165,164,162,160,149,153,157,160,161,170,196,192,180,124,61,56,151,120,26,122,177,86,59,158,81,105,177,163,165,165,164,163,151,155,160,162,167,198,167,153,188,136,63,15,112,104,1,62,164,70,48,142,88,151,172,167,166,165,164,163,154,157,164,163,186,196,161,129,169,125,64,16,29,39,18,57,85,88,96,108,56,144,178,168,168,168,165,164,156,160,163,168,186,162,133,89,141,125,67,20,24,28,113,178,137,133,112,96,72,86,181,168,170,169,167,165,158,163,166,165,190,166,137,79,109,126,63,26,33,84,152,168,159,132,96,68,84,61,161,175,170,170,168,165,162,164,170,165,192,173,144,101,84,121,93,36,60,139,166,160,154,133,93,69,63,58,168,175,171,171,169,167,164,168,170,174,197,177,153,124,77,98,115,45,131,175,171,162,159,114,86,70,32,97,187,174,172,170,168,167,166,171,170,183,201,184,161,130,100,80,82,104,175,175,179,175,143,95,81,59,35,164,180,174,176,179,181,174,168,172,174,188,198,189,171,136,123,107,92,144,162,170,181,165,118,88,80,34,83,195,186,186,168,142,103,61,171,174,176,184,191,193,176,145,138,123,103,144,145,178,178,145,106,83,69,35,161,171,126,83,40,21,14,8,173,177,180,177,192,195,178,154,150,133,108,152,148,174,168,123,94,74,53,53,86,31,12,3,5,6,10,19,176,178,184,177,186,187,174,158,152,135,117,143,167,150,140,104,82,65,43,11,1,1,7,4,8,2,0,14,179,182,186,183,179,187,175,162,147,134,125,131,155,137,112,92,71,59,17,0,1,11,0,0,6,9,0,1,179,183,187,183,174,192,175,160,145,133,117,119,142,126,100,82,65,42,17,0,0,13,5,0,0,10,3,0,181,184,189,183,178,190,167,149,139,131,111,119,134,117,82,71,52,18,24,0,0,0,12,0,0,0,8,0,185,188,193,184,179,189,151,132,137,126,110,123,123,101,69,56,15,0,13,15,0,0,3,7,0,0,3,3,186,189,193,184,177,199,153,142,150,137,122,124,112,86,65,36,8,0,0,17,0,0,0,5,1,0,0,5,188,190,199,169,164,201,162,163,169,139,119,118,102,79,59,13,7,0,0,4,5,0,0,0,7,0,0,0,189,189,208,130,125,204,177,185,172,128,120,121,98,75,48,12,0,0,0,0,9,0,0,0,5,2,0,0
5,137,141,145,148,152,155,157,159,160,162,163,164,164,165,164,164,164,164,164,162,163,162,161,160,158,158,158,156,138,143,147,150,154,156,159,161,162,164,165,166,166,166,166,166,165,165,165,166,164,165,163,162,161,160,160,159,140,145,150,153,157,158,161,163,164,166,167,168,170,168,169,168,166,176,117,150,170,165,166,164,164,163,160,159,142,148,152,155,157,159,162,165,166,166,176,157,123,175,170,168,180,166,91,146,174,168,167,166,166,165,162,161,145,150,154,157,160,161,163,166,170,166,185,148,95,175,173,173,189,120,107,176,171,171,170,169,167,166,165,164,146,151,155,158,162,163,169,170,171,167,199,120,115,184,172,187,160,85,149,179,172,172,171,171,170,169,167,167,148,152,157,160,162,174,141,162,174,178,200,91,144,185,179,184,120,107,182,176,174,174,174,173,173,171,170,170,150,154,158,163,162,186,124,128,178,192,184,86,165,183,181,152,94,158,185,178,178,177,177,176,175,174,173,173,151,156,159,164,165,183,152,104,181,195,144,97,179,177,171,101,117,188,181,181,180,179,179,179,177,177,175,175,152,156,161,165,166,177,174,96,175,183,102,113,187,165,159,89,154,191,182,182,182,182,181,180,179,180,179,177,154,159,163,167,171,172,194,122,147,183,111,116,177,155,142,97,173,189,184,187,187,185,182,181,181,180,181,180,156,160,165,169,172,172,194,157,112,177,123,106,137,143,114,111,191,188,184,170,174,186,189,183,182,182,182,182,156,161,166,169,174,175,187,188,134,123,124,106,115,135,98,126,195,177,177,180,172,163,163,188,184,184,183,182,158,163,169,172,176,179,179,189,175,128,114,120,115,120,97,119,159,173,162,163,174,177,137,162,192,186,186,184,159,165,169,173,176,180,182,181,197,177,132,116,102,102,93,116,128,136,118,106,142,155,161,122,164,191,186,186,160,164,168,173,177,180,185,182,210,211,151,113,99,94,91,109,116,96,123,173,196,187,165,161,126,187,188,187,161,166,172,175,179,180,185,184,198,225,166,113,96,94,92,103,100,122,198,197,194,186,176,135,151,196,189,190,162,167,173,176,179,181,186,186,190,226,165,117,98,93,89,104,87,149,209,192,195,171,152,105,175,196,191,193,163,168,173,177,181,184,187,187,187,212,159,120,100,89,88,106,107,118,168,201,187,166,131,99,177,197,192,192,165,169,173,178,181,184,187,187,185,216,161,121,106,91,90,103,113,128,129,135,166,166,115,122,195,195,195,194,164,169,173,179,181,184,188,188,188,214,160,132,115,94,87,106,120,136,145,120,151,151,113,164,201,196,196,195,165,170,175,179,182,186,189,187,190,205,162,140,117,97,87,113,134,142,148,125,124,134,128,198,196,196,196,196,166,171,176,180,184,187,191,188,188,204,166,141,116,99,88,116,137,140,136,119,110,112,166,205,196,197,196,196,166,172,178,181,185,187,191,189,190,199,162,137,118,104,96,112,128,128,126,112,116,167,202,200,200,199,198,198,168,173,178,182,185,188,191,188,203,201,156,135,124,106,103,112,125,124,116,115,184,207,200,200,200,200,200,199,168,174,178,183,186,187,192,185,210,210,169,141,119,107,103,110,116,110,111,167,207,200,201,200,200,200,200,199,168,174,179,182,186,187,193,187,208,200,165,127,105,108,109,111,112,124,179,206,202,203,202,202,201,201,200,199,169,174,178,182,186,188,193,193,207,196,169,127,104,108,108,106,125,193,211,202,203,203,203,202,201,201,201,200
15,132,133,126,79,141,101,18,75,83,83,85,89,93,99,113,125,133,140,144,147,152,157,162,165,169,172,174,175,137,137,124,82,148,93,19,78,83,84,87,91,94,99,115,126,136,142,144,147,153,159,164,167,171,174,176,178,141,142,120,87,156,84,23,83,82,84,88,92,94,100,116,128,138,144,146,150,156,161,166,171,172,175,178,180,144,148,116,94,162,74,27,85,82,85,88,93,94,102,119,128,138,146,149,151,157,162,167,172,175,176,179,181,145,152,111,102,165,63,34,87,83,86,89,94,94,103,119,130,140,147,150,153,159,165,170,173,176,179,181,183,148,156,104,112,165,55,42,90,84,88,91,95,96,104,119,132,142,148,151,155,161,167,171,173,177,181,183,186,151,160,100,122,162,39,41,83,79,81,86,92,95,105,121,133,144,150,152,156,163,168,173,176,180,182,185,186,154,163,97,147,165,107,105,125,117,114,109,102,98,106,120,133,143,152,154,157,164,168,173,177,180,183,186,187,158,159,114,181,148,147,145,168,155,152,154,158,142,128,118,130,139,142,144,161,165,168,174,177,181,186,187,188,158,159,99,144,103,109,109,140,123,118,151,167,144,123,128,156,164,144,116,114,170,171,175,180,183,186,188,190,160,160,90,155,118,58,83,107,102,97,134,151,130,107,142,168,159,157,165,100,115,177,178,180,185,188,190,192,165,157,89,174,135,15,78,89,87,90,94,119,119,139,180,158,146,172,175,153,97,103,183,184,185,189,191,194,170,153,90,180,121,18,86,91,89,87,98,134,137,140,175,140,137,168,155,169,129,81,103,187,190,187,193,195,173,148,96,188,112,17,89,90,88,87,174,161,113,102,110,105,143,152,153,151,132,113,72,98,181,196,193,197,179,142,102,195,100,21,93,90,85,97,183,173,128,93,58,66,145,167,157,116,106,104,93,70,82,177,201,196,186,138,113,198,90,24,95,89,88,76,148,192,159,144,123,129,140,143,132,92,81,89,84,83,68,84,195,199,192,130,123,198,78,29,98,87,87,127,171,175,170,144,125,127,120,117,124,101,81,85,81,78,77,59,120,213,194,123,133,196,69,35,101,79,153,176,159,139,158,130,89,105,102,101,103,89,80,86,83,79,76,75,67,153,196,117,141,195,60,40,101,82,163,142,119,108,124,99,77,81,79,77,78,81,87,100,99,80,73,79,76,74,196,111,153,193,49,46,102,85,106,102,81,103,101,78,74,89,75,65,95,98,107,118,103,73,71,79,80,76,198,108,164,189,41,53,100,88,86,88,87,120,167,130,99,96,93,79,88,100,107,106,91,73,73,81,83,81,196,105,175,185,34,58,100,87,88,89,92,90,110,113,84,66,105,126,70,78,105,99,83,78,79,87,83,81,197,102,190,184,27,65,99,87,87,89,90,93,96,112,125,136,147,128,109,104,91,85,81,84,88,87,83,81,194,102,200,178,21,70,100,86,86,87,89,90,98,118,135,147,160,148,71,92,115,117,106,97,82,68,63,59,188,106,209,168,17,76,99,87,86,87,88,89,97,117,131,142,162,122,63,58,127,104,65,45,30,25,25,16,181,107,215,158,14,81,95,84,85,85,86,88,97,115,131,144,162,101,74,75,30,37,38,27,23,20,16,12,171,115,221,146,14,85,93,83,82,84,86,86,95,114,131,147,151,87,69,75,54,16,45,31,24,21,17,12,164,125,227,136,14,89,92,82,81,82,84,85,94,113,129,149,133,73,72,69,68,9,30,31,19,15,16,11
12,178,179,180,182,183,183,184,185,185,185,185,186,186,187,187,186,186,187,188,187,186,187,187,187,186,186,185,185,180,181,182,182,183,184,185,187,186,187,187,187,187,187,187,190,188,189,190,188,188,189,188,187,187,187,186,185,182,183,183,184,185,185,186,188,187,187,186,189,189,192,191,182,190,189,189,191,190,188,189,189,188,188,188,188,183,184,185,186,186,187,187,189,187,191,198,188,186,209,201,165,153,196,194,175,187,190,189,190,190,189,190,189,183,184,185,187,188,189,188,188,191,223,219,185,167,217,205,160,109,184,201,156,146,194,191,191,191,190,191,190,184,185,187,189,189,190,190,186,195,229,221,182,162,219,203,168,108,187,187,152,110,179,197,190,191,191,191,191,184,186,188,190,189,191,190,187,201,224,218,185,158,222,199,174,134,198,177,136,100,156,202,191,193,193,193,193,186,188,189,189,191,188,198,217,186,185,210,211,146,207,216,166,148,201,185,136,93,145,203,192,194,194,194,193,187,188,190,191,192,189,222,221,182,146,178,185,129,186,208,132,148,211,165,121,90,140,202,194,195,195,195,194,188,190,191,192,189,201,229,221,200,144,154,151,97,119,138,108,155,177,119,99,92,135,205,195,197,196,195,194,189,191,192,192,190,213,226,223,202,165,131,140,99,86,88,172,197,179,140,136,126,140,207,196,197,197,196,195,191,191,193,194,190,219,206,215,208,179,140,100,122,105,169,226,221,204,174,170,150,147,207,197,198,197,197,196,191,193,194,193,194,227,222,196,200,182,146,107,104,152,229,225,218,202,179,160,138,129,204,199,199,198,197,198,193,194,196,192,205,229,224,189,187,184,156,126,95,209,229,225,218,203,181,153,126,129,206,200,201,199,199,199,193,195,197,193,206,229,226,211,177,171,188,160,127,229,227,226,218,201,170,148,121,129,207,200,202,201,200,200,194,195,197,196,200,229,227,211,185,162,166,178,198,229,226,225,217,195,169,146,124,117,203,204,202,202,201,200,195,196,198,195,202,229,229,217,204,197,172,206,222,229,222,221,218,191,174,141,120,115,203,205,203,202,202,201,196,196,198,196,206,229,229,225,214,211,195,204,213,229,219,216,211,194,168,138,109,134,212,202,205,203,204,204,196,197,199,198,204,229,229,227,220,212,200,204,204,225,216,206,200,194,156,129,101,177,212,203,205,205,205,204,197,198,200,201,201,227,229,228,222,207,195,204,204,218,210,198,198,183,144,111,121,211,206,205,205,205,205,205,197,198,199,203,199,217,229,225,219,201,189,197,201,212,207,197,188,164,130,95,175,214,206,206,206,206,206,206,200,203,204,208,203,218,229,213,207,199,194,202,205,219,209,193,176,149,103,129,213,207,209,207,206,207,207,206,191,181,172,164,151,146,145,128,123,122,117,121,114,115,111,106,106,103,84,178,224,210,210,209,208,208,209,208,143,133,128,126,111,100,99,94,86,78,74,72,59,57,59,56,53,54,58,77,124,199,211,208,208,208,207,207,139,128,131,124,115,107,103,98,90,83,80,75,66,64,62,61,57,55,53,50,37,184,214,207,208,207,206,206,160,125,131,124,114,108,100,95,89,82,78,71,64,63,63,61,56,53,55,40,113,221,206,209,207,207,207,207,176,127,130,121,114,107,98,93,86,80,77,70,64,64,63,60,55,50,52,40,180,220,208,210,209,209,210,209,185,129,127,122,116,107,101,93,87,78,74,71,65,64,62,59,55,51,51,55,201,214,212,212,210,210,210,210
12,176,177,177,177,177,178,178,178,179,179,179,179,179,179,179,178,178,179,179,179,179,179,178,177,176,175,175,174,178,179,179,180,179,179,180,180,181,181,181,182,181,181,181,180,180,180,181,181,180,181,180,179,178,178,177,175,180,180,180,181,181,182,183,182,183,182,184,185,184,183,184,182,181,182,183,183,182,182,181,181,180,178,178,177,182,182,183,184,183,184,184,184,185,185,186,186,185,185,186,185,183,184,184,185,184,183,182,182,181,180,180,179,184,184,185,186,185,185,186,186,186,185,180,182,190,179,178,186,186,187,186,186,186,186,186,185,183,183,183,182,186,187,187,188,187,188,188,187,199,200,171,146,189,183,150,163,189,188,189,188,187,188,188,187,186,185,185,184,188,188,189,189,189,189,191,190,221,223,191,136,158,205,164,135,179,172,170,187,190,189,190,189,188,187,187,186,188,188,190,192,191,191,191,194,222,228,206,153,130,201,184,142,126,149,128,153,193,192,191,190,190,189,189,188,190,192,193,193,193,193,193,196,219,215,214,175,126,169,186,148,99,113,118,106,185,194,192,192,192,191,190,190,192,193,194,194,194,194,198,187,199,192,203,191,148,118,152,127,81,78,100,95,179,195,195,194,194,193,192,191,193,194,195,196,194,207,215,161,139,154,166,165,125,90,106,110,94,138,110,97,185,196,197,196,194,194,194,194,194,195,196,197,214,228,203,149,119,131,119,139,132,115,142,171,171,159,105,107,194,199,199,198,196,195,195,195,195,196,196,207,224,208,198,161,123,91,91,98,130,143,164,204,216,188,127,126,200,200,200,200,198,198,197,196,195,197,198,218,208,187,202,177,133,90,88,90,88,98,136,203,222,215,173,134,167,201,201,200,199,199,198,198,196,196,204,219,200,171,196,182,155,104,86,96,104,119,165,198,203,192,174,154,123,185,202,201,201,200,200,199,197,197,212,227,203,166,156,193,183,129,90,103,130,176,205,200,195,166,153,156,116,171,205,202,202,201,201,200,199,199,209,232,218,188,149,159,177,173,119,119,192,212,204,196,184,157,132,125,109,187,204,203,202,201,201,201,199,199,208,234,227,200,168,158,148,150,145,190,226,216,200,188,169,147,117,97,128,203,206,205,203,202,202,201,200,200,207,229,230,215,187,175,159,138,179,223,225,216,187,170,151,139,106,90,165,207,206,206,204,204,203,203,200,201,203,222,228,225,205,187,171,160,172,219,219,205,173,148,142,131,97,110,198,208,206,206,205,205,204,204,199,200,197,212,232,228,211,193,177,172,170,211,207,184,159,134,142,122,88,147,209,208,206,206,206,206,206,206,198,200,197,196,227,220,202,191,181,176,175,194,191,163,143,137,139,107,94,185,209,208,206,206,206,206,206,206,200,201,201,193,221,208,193,186,183,177,173,180,177,160,138,134,124,93,129,205,208,207,207,206,206,206,205,204,201,201,201,198,219,209,198,197,191,179,170,177,181,159,126,116,102,102,183,209,208,207,207,207,206,206,205,204,202,201,201,198,219,214,206,204,193,185,168,178,180,141,110,101,93,159,208,209,209,208,207,207,207,206,206,205,201,202,202,198,220,220,212,211,196,192,165,172,167,130,103,89,127,205,210,209,209,208,209,209,207,207,207,206,200,201,202,196,214,226,217,215,200,191,161,159,157,129,98,90,179,211,209,209,208,209,209,209,208,207,207,207,198,199,202,196,211,228,214,208,198,187,156,148,155,124,89,109,203,210,210,209,209,210,209,208,208,207,208,208
13,112,114,121,127,132,135,139,142,144,146,149,150,152,153,154,154,155,155,155,155,155,155,155,154,153,152,149,151,114,115,122,128,134,136,140,143,145,147,149,151,152,154,154,155,155,155,155,157,157,157,155,155,155,154,151,151,114,116,123,129,134,138,140,144,147,149,151,152,154,156,157,155,157,157,158,159,159,158,157,157,156,154,153,153,115,118,125,130,135,138,142,146,147,150,154,152,154,153,155,160,158,159,159,160,160,159,158,157,157,156,155,155,115,118,125,132,136,140,144,147,149,151,153,154,192,170,116,143,163,158,161,163,160,160,160,159,158,157,156,155,116,119,125,132,138,141,144,147,149,150,150,165,226,202,136,110,169,164,137,139,164,160,161,161,161,158,157,156,117,120,125,133,138,143,146,148,146,161,157,151,219,206,162,108,128,148,115,69,145,167,161,162,161,159,159,157,117,120,126,132,138,144,146,143,167,206,157,123,167,175,144,75,108,105,80,54,107,172,160,162,161,161,161,160,117,121,128,133,139,140,161,145,173,214,171,119,141,162,127,72,120,87,57,51,102,174,161,164,164,163,162,161,119,123,130,135,137,152,210,152,114,193,192,136,102,169,168,152,139,108,54,34,107,175,164,164,163,163,162,161,120,124,131,138,131,183,214,169,116,144,199,149,74,85,162,168,150,152,116,39,124,175,165,165,164,164,162,162,120,123,130,137,138,188,195,184,134,99,185,153,100,15,73,115,146,167,169,100,130,176,165,167,167,165,164,163,118,122,128,132,142,192,175,181,144,84,146,173,112,31,26,51,133,192,193,164,95,155,170,165,164,163,163,162,117,121,129,129,157,212,174,172,159,93,87,178,117,36,31,125,168,167,171,162,99,104,176,165,166,164,163,163,119,123,131,127,196,208,162,145,157,112,48,148,144,91,145,191,174,167,142,121,123,79,158,170,167,166,165,164,120,125,132,127,201,210,175,130,126,153,79,114,189,199,193,172,162,156,128,102,107,81,153,171,167,167,166,165,118,123,131,128,205,215,186,171,146,151,171,189,206,205,178,162,160,133,111,91,75,112,173,167,167,168,166,164,115,122,129,130,208,219,196,184,170,152,179,203,203,197,169,146,137,118,105,72,81,161,170,167,166,166,165,163,119,125,133,130,201,219,203,184,168,154,172,198,198,180,153,127,116,115,88,71,149,178,173,173,170,169,168,168,101,102,108,96,173,219,204,190,171,161,175,195,179,148,133,122,120,101,71,78,114,110,110,108,106,106,105,106,69,70,75,58,119,218,202,192,175,168,172,188,167,133,118,125,113,83,70,67,62,60,60,59,58,58,56,56,78,80,81,75,91,206,195,191,177,163,163,186,170,124,104,108,89,71,72,73,74,71,69,69,68,67,67,66,77,78,80,81,77,188,188,191,183,164,158,181,164,108,92,89,73,70,73,70,71,72,71,69,68,68,68,66,81,81,81,83,70,171,190,196,192,172,152,174,162,105,89,78,70,74,74,71,70,71,71,70,69,70,68,66,82,84,83,85,68,158,199,205,201,183,148,164,166,112,85,70,70,76,73,71,70,71,71,69,68,69,67,66,80,82,83,87,72,131,209,208,202,181,148,156,167,113,80,65,71,77,75,72,71,72,70,68,70,69,68,60,81,82,81,82,78,98,201,196,177,163,147,149,158,113,80,63,72,76,73,73,72,75,70,67,70,70,59,133,81,82,83,83,83,81,190,192,157,155,159,141,147,118,81,61,70,76,74,73,72,76,70,68,70,61,107,200
17,165,168,170,172,173,176,175,176,178,178,178,178,178,177,176,176,176,174,173,174,172,172,170,168,166,165,163,161,166,170,172,175,176,176,178,179,180,180,180,180,180,180,179,179,179,177,176,177,174,173,172,170,169,167,165,162,169,174,175,177,179,180,180,180,182,182,183,183,183,183,182,181,180,179,180,179,177,176,174,173,171,169,167,166,171,175,177,178,181,182,182,183,184,184,185,186,186,186,185,181,185,184,178,182,180,179,177,175,173,172,169,168,174,178,179,181,181,184,185,185,186,187,187,188,187,188,184,194,196,156,147,188,181,181,179,179,175,174,172,171,176,179,181,183,184,186,187,187,187,188,189,188,188,190,184,201,224,131,119,191,183,183,182,181,179,177,174,173,179,181,183,185,186,188,189,190,191,191,191,191,191,192,190,191,236,165,126,192,185,186,184,182,181,179,178,176,181,183,187,188,188,189,191,193,193,193,193,195,194,194,193,193,247,201,140,190,188,187,186,184,183,182,181,179,182,186,188,190,191,192,193,194,195,195,195,196,197,195,194,202,255,224,145,178,194,189,188,187,186,185,183,181,185,187,189,192,194,195,196,196,197,198,199,198,197,197,192,216,249,226,147,165,199,192,190,188,188,187,185,183,187,189,192,194,196,196,196,198,199,198,197,198,222,223,185,186,235,236,154,155,202,192,193,190,189,188,187,185,188,191,193,196,198,197,200,200,200,202,207,199,244,234,210,163,187,217,168,148,202,194,194,194,192,190,189,187,190,193,195,197,199,200,202,201,199,237,255,203,183,223,220,231,225,165,137,141,201,197,197,195,194,191,190,189,191,194,197,199,200,201,202,202,207,239,227,218,167,183,164,224,237,186,117,123,202,200,199,196,195,194,193,191,193,195,199,200,201,202,205,204,212,238,160,181,202,126,102,130,237,219,140,102,194,204,199,199,196,196,195,193,194,197,200,201,202,204,207,204,216,232,177,164,155,129,128,104,221,248,176,97,171,209,199,200,198,197,196,194,196,199,200,203,205,207,209,205,220,246,217,178,153,153,161,143,207,255,200,114,163,211,201,202,201,197,196,196,199,200,201,204,207,208,209,206,225,246,187,161,165,181,185,196,241,248,208,130,160,215,204,203,204,208,206,196,198,200,203,205,207,208,209,207,223,245,205,182,179,199,194,239,255,233,196,136,157,217,204,208,195,160,151,125,199,201,203,205,207,207,209,207,220,255,224,193,178,202,215,252,255,228,182,130,163,215,207,200,123,105,103,98,199,201,203,205,208,209,211,210,218,255,234,212,185,207,241,255,243,217,174,123,158,214,212,156,101,108,104,102,199,203,205,207,210,210,212,213,217,255,245,226,204,204,243,255,233,209,168,112,162,228,165,101,90,79,72,58,199,204,207,209,211,213,213,214,215,252,253,235,224,211,233,249,222,202,167,106,154,158,101,90,82,63,61,46,202,205,208,210,211,214,214,214,213,243,255,242,232,215,210,236,211,201,156,109,104,101,100,91,75,52,49,52,196,200,204,208,209,212,213,216,214,230,255,244,227,204,194,209,198,201,151,103,86,97,94,97,87,56,39,43,128,130,134,137,134,135,138,142,140,164,255,241,212,186,183,189,199,192,138,96,64,81,82,79,99,77,41,34,108,112,113,110,110,110,109,108,107,129,252,216,189,174,177,186,197,172,110,87,70,49,73,63,86,94,54,32,119,121,121,118,122,124,123,121,128,82,211,213,184,174,185,182,175,142,83,26,53,45,53,57,67,92,70,37
5,148,150,151,155,157,157,156,156,158,154,172,116,126,160,153,154,153,150,152,153,148,149,147,145,149,74,19,26,150,152,153,156,157,157,159,159,159,155,187,93,91,166,154,156,154,157,146,136,153,148,149,156,116,19,33,49,152,154,156,157,159,160,161,161,164,162,186,83,111,168,156,157,153,167,119,75,160,150,151,149,57,15,37,58,153,157,158,159,161,162,164,162,145,176,168,72,140,167,158,158,158,147,75,89,162,150,158,122,28,24,35,50,154,157,160,161,163,165,169,179,75,169,150,70,158,165,161,163,140,103,61,146,159,152,162,93,22,38,53,62,156,158,161,163,165,169,165,187,80,141,147,77,168,164,167,149,111,62,116,166,156,156,162,106,34,49,52,59,158,161,163,165,167,169,166,195,110,113,128,87,173,169,145,116,81,86,170,160,159,156,164,128,45,53,50,42,159,162,164,166,170,171,171,184,122,98,96,107,182,143,99,88,65,149,169,162,161,159,160,148,53,38,32,34,162,164,167,168,171,172,170,188,140,86,71,128,171,97,76,58,126,172,163,164,163,161,160,167,84,10,18,38,163,165,169,169,171,174,171,194,164,92,81,116,132,80,62,93,179,166,167,165,165,164,162,170,113,22,24,20,165,167,169,171,175,175,175,189,162,91,84,91,98,80,60,133,178,170,167,166,167,165,163,168,142,104,103,62,166,169,170,174,176,175,176,179,158,93,68,67,72,71,70,168,178,162,168,172,169,168,165,167,152,74,141,141,169,171,173,175,176,178,177,179,167,116,75,66,56,52,107,176,123,92,104,162,176,170,167,168,146,91,156,110,169,172,174,177,178,180,179,177,177,137,78,58,57,50,85,93,77,98,100,109,140,167,169,172,168,133,84,92,170,172,174,177,179,180,181,178,187,159,104,63,56,59,54,65,83,76,108,132,120,134,143,140,150,169,106,132,171,174,176,177,179,181,182,182,195,182,142,83,57,58,67,56,48,57,98,97,119,131,124,87,88,152,154,146,171,175,178,179,183,183,184,183,195,194,159,94,59,52,62,48,93,157,171,137,125,103,121,121,103,68,153,156,173,176,178,180,183,184,184,184,200,205,161,98,64,53,39,101,201,178,182,179,135,133,141,116,88,104,163,96,173,176,179,183,184,185,186,184,205,210,166,106,68,48,29,75,140,190,170,115,114,137,107,79,146,174,174,127,174,176,179,182,185,186,187,186,204,213,169,111,73,40,40,51,57,137,100,106,127,96,56,145,181,168,169,165,175,177,180,183,185,187,186,190,207,209,165,111,75,40,41,58,65,50,76,113,93,66,135,179,171,172,170,168,175,178,180,184,185,188,185,191,212,205,160,112,75,42,44,62,68,71,81,88,74,156,186,173,174,173,170,169,176,177,179,182,184,186,184,190,211,200,151,107,75,45,48,71,73,76,68,61,153,185,175,176,172,171,170,168,176,179,180,183,185,186,185,193,205,188,142,108,75,42,53,76,79,74,57,141,186,175,178,176,173,170,171,169,177,179,181,184,185,186,180,200,205,180,143,113,72,41,48,75,83,61,93,193,176,178,178,178,174,171,172,170,177,178,180,183,187,179,184,211,204,175,144,113,72,48,49,76,79,49,145,186,177,179,178,177,174,172,172,170,177,179,182,184,186,172,206,214,196,169,147,111,67,50,60,80,53,88,188,179,179,179,178,176,174,173,173,169,177,179,183,188,174,178,216,207,182,163,146,104,62,51,63,63,59,169,185,181,179,178,178,177,176,174,174,161
17,123,124,125,127,131,133,133,136,137,136,138,139,141,142,143,145,145,145,146,146,147,147,147,147,146,147,147,147,123,124,126,130,132,132,134,136,137,138,140,141,142,143,144,146,146,146,146,146,147,148,149,149,149,150,150,149,124,126,129,132,134,134,135,137,139,139,141,142,143,145,145,146,147,148,148,147,149,149,149,150,150,151,151,151,126,127,131,132,134,136,137,138,139,141,142,143,144,146,147,147,149,150,150,150,152,150,150,152,151,152,152,152,125,128,131,133,135,137,138,139,141,142,143,144,146,147,148,149,150,150,147,154,151,151,153,152,152,153,153,152,126,128,131,133,136,138,138,140,142,142,144,146,146,147,149,150,149,154,132,110,112,106,157,153,153,154,154,153,128,129,132,134,136,138,140,141,143,144,146,146,147,148,150,151,149,160,155,93,64,85,157,153,154,154,154,154,129,130,133,136,137,139,140,142,145,147,148,148,150,151,150,152,151,160,164,114,57,92,164,154,155,155,154,155,130,131,133,136,138,139,141,143,146,146,147,149,150,148,155,153,153,156,170,133,68,111,166,155,156,155,155,157,130,132,135,138,139,140,144,144,144,146,148,147,152,134,118,157,154,157,170,132,83,139,162,158,158,156,156,156,129,133,136,137,139,141,144,144,146,147,148,151,158,144,100,109,156,170,166,125,86,149,161,159,158,158,157,157,130,133,136,138,140,142,144,145,145,151,140,120,153,160,146,127,105,135,158,128,84,148,163,159,159,159,158,158,131,133,137,139,141,144,146,144,150,173,139,92,132,158,173,160,112,70,123,120,86,147,164,160,159,159,159,159,131,135,138,140,142,145,147,144,159,145,150,123,121,108,145,175,142,80,84,105,80,144,164,160,159,159,160,160,132,135,139,141,142,144,147,144,167,136,108,112,82,50,90,189,159,102,68,83,71,144,166,161,161,160,160,160,134,136,138,140,143,145,147,149,164,126,94,111,88,76,89,186,173,124,69,73,66,141,166,161,162,161,160,161,133,136,138,141,143,146,146,154,169,144,128,118,97,119,105,174,177,134,82,69,67,135,168,161,162,162,161,161,133,136,139,143,144,147,145,164,161,126,119,113,109,128,152,175,159,141,92,64,63,138,168,161,164,163,162,162,135,137,139,142,146,148,146,172,149,123,113,114,122,141,196,173,141,130,90,60,56,139,170,163,164,164,163,163,136,138,139,142,146,148,146,178,152,130,116,116,124,179,188,169,138,119,85,59,58,149,168,165,164,164,164,164,135,138,140,143,145,146,151,181,155,140,118,117,149,194,175,163,130,113,79,56,74,168,164,164,163,164,164,164,135,137,141,144,147,145,157,183,155,147,131,118,168,191,170,161,123,101,77,51,111,173,163,164,164,164,162,163,135,137,141,144,149,146,162,189,159,155,147,126,172,179,163,155,125,90,70,59,152,168,164,166,166,166,164,164,135,139,143,146,148,146,159,192,166,160,154,136,158,173,160,149,119,87,58,96,175,164,165,165,167,166,165,164,136,138,143,146,149,148,154,189,173,156,146,144,148,163,154,157,116,82,55,127,173,163,164,165,166,165,165,165,137,139,143,146,148,151,151,184,169,156,141,143,151,152,153,158,117,80,59,144,172,166,167,167,167,166,166,166,137,139,142,145,148,149,154,183,167,156,142,142,152,150,153,149,108,77,79,167,168,167,167,168,167,167,167,166,136,138,140,144,149,148,157,186,176,158,147,150,157,144,149,137,97,66,120,175,166,167,167,167,167,167,168,166
5,183,185,186,189,191,191,191,191,193,188,206,152,162,195,188,189,188,185,187,188,183,184,182,180,184,110,56,63,185,186,188,191,192,192,194,193,194,189,221,129,127,201,189,190,189,192,181,171,188,183,184,191,151,56,70,86,187,189,191,192,194,195,196,196,198,197,221,119,146,203,191,192,188,202,154,111,195,185,186,184,93,52,74,95,188,192,193,194,196,197,198,197,180,211,203,108,175,202,193,192,193,181,111,125,197,185,193,158,65,61,72,87,189,192,195,196,198,199,203,213,111,204,185,107,193,200,196,197,176,139,97,181,194,187,196,128,58,75,89,98,191,193,196,198,200,204,200,222,116,176,182,113,203,199,202,183,147,98,151,201,191,190,197,142,71,85,89,95,192,195,198,199,201,204,201,230,145,148,163,123,208,204,180,151,117,122,204,195,194,191,198,164,82,90,86,79,194,197,199,201,204,206,205,218,158,133,132,142,216,178,135,124,102,184,203,197,196,193,195,183,90,75,69,71,197,199,202,203,205,207,205,222,175,122,107,164,205,132,113,94,162,207,198,199,198,196,195,202,120,47,55,75,198,200,203,203,206,208,206,228,198,128,117,152,167,116,98,129,214,201,202,200,199,198,197,205,148,59,60,57,200,202,204,206,210,210,209,223,197,127,120,127,134,116,97,168,212,204,201,200,201,199,197,202,177,139,139,99,201,204,205,208,211,210,211,214,193,129,104,103,108,107,106,202,212,197,203,206,203,203,200,202,187,110,176,176,204,206,207,210,211,213,212,213,202,152,112,102,92,89,142,210,158,128,140,197,211,204,201,202,181,127,190,145,204,206,208,211,212,214,214,212,211,172,114,95,94,86,121,129,113,134,136,145,175,202,204,207,202,168,120,128,205,207,209,211,214,215,215,212,221,194,139,100,92,95,91,102,119,112,144,167,156,170,178,175,185,203,141,167,206,208,211,212,214,215,217,216,229,216,177,119,93,94,103,92,85,93,134,132,154,166,160,123,124,186,189,181,206,209,212,214,217,218,218,217,229,228,194,129,96,89,98,84,128,192,205,172,161,139,156,157,139,105,188,190,208,210,212,214,217,218,218,218,234,239,196,133,100,90,75,136,235,212,217,213,170,168,176,151,124,139,197,132,208,210,213,217,218,220,220,219,239,244,201,141,104,84,66,111,175,225,205,150,149,172,143,115,181,208,208,162,209,211,214,216,219,221,221,220,238,247,204,147,109,77,76,87,94,172,135,142,162,132,92,180,215,203,204,199,210,212,214,218,220,221,221,224,241,243,200,147,111,77,78,94,101,86,112,148,129,102,170,213,205,206,205,203,210,212,215,218,219,222,220,225,246,239,195,147,111,78,81,98,104,107,117,123,110,191,220,208,208,207,205,203,211,212,214,217,218,220,219,224,245,234,186,142,111,81,85,107,109,112,104,98,188,219,210,210,207,206,204,202,211,214,215,218,219,221,219,227,239,223,177,144,111,79,89,112,115,110,93,176,220,209,213,211,208,205,205,203,211,213,215,218,220,220,214,234,239,215,178,148,108,78,84,111,118,97,129,227,210,213,213,212,209,206,207,205,211,212,215,217,221,214,219,245,238,210,179,149,109,84,85,112,115,85,180,220,212,213,212,212,209,207,207,205,212,214,217,219,221,207,240,248,230,203,182,147,104,87,96,116,90,124,222,214,213,214,212,211,209,208,207,203,211,214,217,223,209,212,250,241,216,198,181,140,98,88,99,99,95,203,220,215,214,212,213,212,211,208,208,195
6,187,189,192,192,192,192,194,193,192,192,192,191,190,189,189,190,188,187,185,184,182,181,181,180,179,177,174,172,189,190,192,195,196,196,196,195,195,194,195,194,192,189,189,190,188,187,186,185,185,185,185,181,181,179,176,174,189,192,194,196,197,197,198,197,197,196,195,195,193,192,191,191,191,188,187,186,187,186,184,182,181,180,178,177,190,193,196,197,198,200,199,199,200,198,198,198,195,195,193,192,193,192,189,189,188,187,186,184,183,182,180,179,193,195,196,199,200,201,201,200,202,200,199,198,199,197,196,196,196,194,190,186,186,185,186,181,180,178,171,177,194,196,198,201,202,203,203,202,202,203,204,203,200,195,189,184,178,178,175,149,155,170,169,151,166,157,177,209,196,198,200,202,204,204,202,204,202,201,188,178,181,183,175,179,180,181,170,164,155,180,177,159,168,163,168,194,196,198,201,204,204,205,204,202,208,208,177,157,170,182,185,191,192,189,170,149,150,144,145,130,121,121,111,122,198,201,202,203,205,206,206,201,220,217,186,172,160,161,162,156,152,143,133,121,92,92,78,99,133,139,161,176,200,201,203,205,205,206,207,205,229,221,204,186,165,151,145,136,129,117,100,77,48,34,50,178,199,194,192,187,202,202,204,205,207,209,205,218,234,228,216,177,140,136,143,152,147,140,127,120,116,68,149,203,188,189,187,186,202,203,206,205,208,211,205,230,238,233,203,142,119,130,135,147,152,147,136,125,127,84,159,202,193,192,190,187,202,206,209,209,210,208,209,239,232,229,169,127,136,130,118,125,145,129,121,121,107,66,168,201,195,192,190,188,204,206,209,209,212,203,221,238,229,228,193,174,152,134,107,117,148,136,132,134,103,96,203,197,196,194,192,189,205,208,209,211,210,209,233,232,232,234,230,212,161,131,142,151,148,137,124,110,110,91,180,202,195,195,192,190,206,210,210,213,203,221,235,234,234,228,229,216,150,119,129,135,137,129,111,102,100,70,179,202,196,196,194,191,205,209,210,209,204,227,233,236,229,223,219,196,149,125,117,107,115,121,118,110,80,106,204,198,197,197,194,189,204,205,210,194,213,230,232,232,222,215,208,204,183,159,116,80,99,121,115,111,73,155,208,195,198,195,189,192,203,210,200,188,227,231,231,225,224,224,213,207,216,189,130,103,124,142,125,102,87,97,202,197,195,194,201,179,206,211,188,207,227,229,227,226,229,220,207,217,215,172,115,102,112,109,98,86,67,92,202,201,206,198,135,61,209,196,199,222,224,224,221,215,210,205,205,213,190,143,109,106,100,88,77,72,81,179,212,191,136,73,27,19,203,190,213,218,223,215,205,200,192,197,193,174,148,119,105,90,78,126,139,161,187,165,110,55,20,16,18,17,190,199,216,216,218,205,192,188,185,182,177,150,126,113,118,101,133,171,137,111,68,34,5,0,8,15,11,9,178,214,213,213,201,189,175,170,181,173,161,147,135,115,87,55,48,23,9,6,9,18,0,0,2,8,6,7,195,217,213,208,197,186,169,161,161,151,138,126,102,70,37,14,1,7,6,11,16,6,0,0,0,3,5,2,211,214,211,201,190,167,146,144,133,113,98,81,54,24,13,23,0,0,0,5,11,0,0,0,0,2,2,0,216,213,208,204,173,135,133,128,117,99,63,36,18,7,6,19,4,0,1,1,4,0,0,0,0,3,0,0,216,212,206,196,139,126,148,133,106,78,27,15,4,1,1,12,5,0,0,0,0,0,0,0,0,2,0,0
12,194,198,201,205,207,209,211,215,217,219,220,221,222,223,224,226,225,225,226,225,226,228,228,227,228,229,229,228,197,199,202,206,209,212,214,217,219,222,223,224,226,225,227,227,227,228,229,227,228,231,228,228,229,232,231,232,199,203,206,208,212,215,217,219,222,225,225,227,228,228,227,229,230,231,231,230,230,232,229,230,234,233,233,233,201,205,207,210,214,217,220,222,225,227,227,226,234,237,235,231,234,234,238,240,232,234,234,235,236,236,235,235,203,207,209,213,216,217,222,224,227,229,228,231,226,205,215,237,237,220,189,207,240,233,238,237,236,236,237,237,205,208,212,215,217,219,224,228,229,231,229,250,235,197,155,215,255,227,183,118,232,242,237,247,240,239,239,239,207,210,214,218,221,223,226,229,231,232,231,255,255,232,180,147,255,228,194,140,159,181,173,186,246,240,241,241,209,213,215,219,222,226,228,231,233,234,238,255,255,244,197,139,255,243,197,164,81,157,172,112,189,255,242,244,212,215,217,222,224,227,230,233,236,235,248,255,255,255,218,157,242,255,196,144,82,189,185,109,116,255,242,247,214,217,220,224,226,228,231,234,237,234,249,202,177,254,228,150,212,241,175,121,86,199,187,106,103,251,247,247,216,218,222,225,227,231,234,236,234,255,255,174,117,170,209,129,192,212,167,131,85,184,182,118,100,251,250,250,217,220,223,226,230,234,237,235,255,255,245,183,148,118,186,121,174,210,159,121,87,190,175,121,106,254,250,252,219,221,226,228,231,234,236,246,255,228,250,208,165,102,136,123,151,205,165,112,101,214,197,127,114,255,253,253,220,223,227,230,233,236,235,255,236,185,238,205,158,104,97,157,145,228,201,125,138,255,235,131,159,255,252,254,220,224,226,231,235,237,240,255,245,193,198,202,162,102,77,163,129,197,190,113,107,233,184,87,142,255,254,254,222,225,228,233,236,237,245,253,228,179,177,214,145,109,45,82,59,72,177,126,153,193,130,118,92,192,255,251,223,225,230,234,238,239,249,255,232,189,165,206,130,109,55,43,44,149,240,237,227,213,176,142,104,133,255,253,224,227,231,235,239,240,254,255,229,188,142,184,132,120,54,61,130,238,244,234,213,196,161,128,97,158,255,255,224,227,231,234,239,237,255,255,232,205,158,141,147,137,67,104,222,254,255,240,202,182,152,121,91,202,255,255,226,230,232,235,240,238,255,255,238,217,198,157,133,122,131,185,255,255,255,233,189,171,143,115,96,235,255,255,227,230,234,237,241,242,255,255,249,223,209,202,168,152,185,203,255,255,255,220,176,159,131,102,134,255,255,255,228,231,234,237,241,243,252,255,252,232,217,213,201,168,174,191,255,255,243,207,168,145,125,91,195,255,255,255,229,232,236,239,241,243,248,253,246,238,224,213,201,177,161,201,255,255,220,192,161,133,116,97,241,255,255,255,229,233,239,242,243,246,247,245,243,240,222,215,199,179,156,202,248,242,198,173,147,123,100,127,255,255,255,255,228,233,238,241,244,245,250,248,248,247,224,215,202,180,151,199,229,211,178,155,134,119,89,192,255,255,255,255,230,233,236,239,241,243,247,248,253,241,219,206,193,168,144,195,207,175,159,135,122,105,119,255,255,255,255,255,230,233,235,239,242,244,246,245,255,231,202,191,168,145,150,187,190,160,150,126,117,98,201,255,255,255,255,255,230,233,235,239,243,245,244,243,255,226,205,190,154,148,159,187,182,157,140,122,103,146,255,255,255,255,255,255
15,12,43,50,62,70,77,85,93,102,106,109,113,117,120,122,124,126,129,130,132,134,136,136,137,139,141,142,144,15,45,50,63,71,79,85,94,103,106,110,115,118,121,123,125,128,129,131,133,135,136,137,138,140,142,144,145,17,46,54,65,72,79,85,95,104,106,111,115,118,121,124,126,129,130,132,134,135,137,138,141,141,143,145,145,22,48,55,67,74,77,85,96,105,106,110,115,118,121,124,128,129,129,132,135,135,137,140,141,142,143,144,146,28,50,56,66,72,96,93,94,104,109,112,115,118,122,125,127,129,130,133,135,136,139,140,142,143,144,144,147,32,50,59,65,79,136,106,90,85,98,113,118,119,122,125,128,129,131,134,135,137,139,140,142,144,144,146,148,38,50,59,68,77,113,112,102,92,81,87,104,119,126,126,128,130,133,135,135,138,141,142,143,143,143,145,147,41,50,59,70,75,83,97,97,95,90,92,91,91,102,124,132,130,132,135,136,138,140,142,144,143,144,146,148,43,50,61,68,76,83,89,96,86,91,98,103,98,88,83,107,129,135,136,135,137,140,142,145,145,146,148,150,45,52,62,70,77,85,91,102,101,100,99,100,100,97,87,84,88,113,136,139,139,141,143,144,145,146,149,150,48,54,64,71,78,84,90,101,106,110,112,101,88,91,100,101,91,82,90,116,138,144,142,143,145,147,149,151,47,55,64,72,79,85,93,103,106,110,115,117,107,98,84,85,91,86,84,90,89,117,145,144,146,148,149,151,48,55,65,73,79,85,95,104,106,112,125,96,84,102,98,71,64,77,96,100,101,80,102,148,145,149,150,151,48,56,66,74,79,85,94,104,104,119,125,99,75,72,96,95,88,97,98,106,112,96,65,111,156,148,151,152,50,56,67,74,80,86,96,105,105,115,104,92,92,95,103,85,94,100,89,101,108,99,91,71,140,151,150,152,51,58,67,74,81,86,96,103,106,111,115,95,105,124,114,90,68,69,57,94,115,99,110,80,91,156,149,151,51,60,68,74,80,86,96,103,107,107,137,110,96,121,111,94,90,81,65,78,85,94,102,92,60,130,155,150,52,60,67,73,81,86,95,105,104,119,131,93,66,72,99,108,106,103,92,77,75,74,81,88,71,83,157,151,51,60,67,74,81,86,97,105,102,129,109,72,63,26,33,78,116,117,111,103,97,75,63,73,76,56,132,158,52,61,69,74,81,88,99,102,109,135,90,56,52,37,25,15,60,120,123,118,110,83,63,69,73,57,87,161,53,62,69,76,82,88,100,98,119,123,68,55,84,72,55,32,6,83,127,119,109,89,77,72,71,67,58,135,53,61,68,75,83,90,99,107,124,88,50,101,112,88,85,72,21,42,129,118,111,102,95,84,74,72,61,83,54,63,70,76,83,89,98,113,91,62,78,130,120,94,94,91,73,52,118,124,120,113,108,95,81,73,70,62,56,64,70,76,82,89,101,104,92,93,115,115,113,104,86,87,87,79,100,124,123,119,111,100,90,80,75,71,56,64,70,76,82,90,100,103,110,116,117,120,114,97,75,72,68,91,95,107,120,116,110,102,93,84,80,74,56,63,70,77,81,92,100,103,107,112,116,119,125,127,118,108,93,91,103,83,101,108,106,102,95,88,78,77,56,63,69,74,80,91,100,103,107,113,116,119,123,127,132,133,133,134,121,103,96,109,104,101,98,91,81,78,56,63,68,73,79,89,98,101,106,112,115,119,124,127,128,130,134,144,145,135,123,121,107,96,95,97,91,85
20,163,165,168,169,171,173,173,174,175,175,175,175,174,174,173,172,171,171,169,171,168,166,165,163,163,161,161,160,164,166,169,170,172,175,175,176,177,177,176,178,176,175,176,173,172,171,170,158,168,167,166,165,165,164,163,163,165,167,170,172,173,175,176,178,178,178,179,178,177,176,177,176,173,172,183,117,127,181,167,167,167,166,165,164,166,168,171,173,174,176,178,178,179,180,180,178,178,178,178,177,174,176,184,110,111,157,166,170,168,167,166,165,167,169,171,174,175,177,179,179,181,181,180,179,179,179,178,178,175,184,172,106,82,108,123,177,168,167,166,166,168,171,173,175,176,178,180,180,182,183,182,181,181,180,180,181,176,192,168,94,103,131,107,177,169,170,167,167,169,172,173,176,177,180,181,182,184,184,184,183,182,181,181,181,179,194,162,94,142,136,104,176,171,170,169,168,170,173,175,178,179,181,183,184,186,186,185,185,184,184,182,181,181,193,150,97,165,140,109,176,173,172,172,170,171,174,177,179,180,182,184,185,186,187,187,187,187,185,187,186,185,188,134,110,176,132,117,180,174,173,172,171,172,175,178,179,182,183,184,186,187,187,187,188,189,182,146,157,201,187,126,132,180,119,121,185,174,175,174,172,174,177,178,181,182,184,186,187,188,190,188,187,185,188,144,99,170,181,114,152,188,114,128,186,177,178,175,174,174,177,179,182,183,186,189,189,189,191,188,194,192,186,181,143,117,112,87,151,175,106,142,187,178,178,177,176,175,178,182,185,185,186,188,189,192,192,190,203,201,192,205,187,135,84,60,122,143,100,154,187,181,179,178,178,177,180,183,186,187,189,190,192,193,191,198,187,145,177,178,182,137,92,78,96,105,91,166,186,181,179,179,178,178,181,184,186,189,189,191,193,194,191,206,178,117,161,157,176,162,112,83,79,88,88,176,185,181,180,180,178,179,181,184,186,188,190,193,194,193,193,209,189,149,124,99,154,181,129,90,76,78,94,183,186,183,181,181,181,180,182,184,186,188,191,194,195,194,196,197,155,128,108,68,107,195,145,106,84,73,105,190,184,184,183,182,181,181,183,185,187,188,192,194,196,194,204,195,154,143,122,93,163,198,153,131,95,73,119,195,184,186,185,182,180,180,183,186,188,190,192,195,196,194,209,189,167,142,117,165,218,182,149,140,102,78,127,197,185,186,185,183,182,181,184,186,188,190,193,195,196,198,215,200,162,129,149,223,192,161,137,130,103,85,143,196,186,187,186,184,182,182,184,186,189,192,194,197,197,203,228,193,146,140,185,225,182,155,123,113,103,91,167,194,188,188,187,184,182,182,185,188,190,193,194,197,196,207,223,166,165,143,201,214,180,153,125,98,97,101,185,192,190,188,188,186,184,180,182,187,189,192,193,196,194,209,209,185,181,141,212,203,168,142,122,100,92,121,194,189,189,188,187,185,184,180,182,185,188,191,194,195,195,201,209,211,167,163,213,181,152,129,110,102,91,150,196,190,188,187,187,185,183,181,183,187,189,192,193,195,195,198,209,203,167,153,189,169,137,116,102,97,98,178,195,191,188,188,187,185,184,180,184,188,190,192,194,196,195,199,200,178,160,148,165,161,134,119,104,87,122,195,192,192,189,188,188,186,185,179,184,187,188,192,194,196,196,198,187,171,163,164,163,170,153,116,100,84,150,199,191,191,189,188,188,187,185,179,183,186,189,192,194,196,197,197,199,191,191,182,166,162,152,110,94,88,171,197,190,190,189,188,187,187,185
3,125,128,133,135,136,137,138,139,141,141,141,141,136,159,140,124,142,138,137,136,135,133,131,129,128,127,124,121,129,132,136,137,139,141,142,143,144,145,145,145,137,173,172,92,141,144,140,139,138,137,134,133,131,129,125,124,132,135,137,140,143,144,145,145,147,147,148,148,144,161,197,90,121,151,143,142,141,140,138,136,133,131,128,126,134,136,140,143,144,147,147,148,149,149,149,151,150,151,207,130,106,155,147,146,145,143,141,138,136,134,131,129,135,139,142,144,147,149,150,151,151,152,152,153,156,146,205,162,91,151,150,148,146,145,143,142,139,137,134,134,139,142,145,149,150,151,153,155,154,155,153,154,151,174,209,167,104,143,157,151,150,147,144,144,142,140,138,135,141,144,148,150,151,153,155,157,157,155,169,195,175,189,213,216,161,121,155,155,152,150,149,148,145,143,141,139,142,146,150,153,153,155,156,158,162,152,195,222,222,199,149,174,178,93,154,154,140,155,151,150,148,146,145,143,144,148,152,156,157,159,159,160,159,173,209,208,171,187,148,94,174,133,162,127,124,163,153,153,150,149,147,145,148,151,155,158,160,161,161,164,161,211,221,211,153,128,162,118,138,177,159,103,91,166,156,156,154,152,149,148,150,153,158,160,163,164,165,164,171,209,168,135,181,163,129,154,96,96,147,123,77,133,167,157,156,154,152,151,152,155,160,163,164,165,166,165,179,211,139,54,83,119,79,91,75,40,123,155,108,101,167,160,158,157,155,153,154,158,162,164,165,167,169,166,186,206,121,89,75,70,71,69,65,43,105,168,114,113,168,162,160,159,157,156,156,160,164,165,167,170,172,166,195,204,159,130,90,77,77,83,62,52,146,176,112,128,170,162,162,162,160,158,158,162,165,167,170,171,173,169,201,213,169,115,83,80,89,87,92,121,178,182,115,142,171,164,165,164,161,159,160,163,165,169,172,173,176,173,202,211,152,99,80,85,99,102,153,188,195,176,107,153,173,167,167,165,164,161,161,164,169,170,172,174,176,173,201,210,154,105,89,92,104,130,193,208,190,155,100,159,176,171,169,166,165,164,162,166,170,171,173,176,180,176,200,215,165,116,98,99,109,160,209,205,176,124,109,171,174,171,170,169,166,165,164,168,171,174,176,177,180,176,196,218,172,127,104,107,125,188,207,196,168,108,115,181,174,173,178,176,173,164,164,169,172,174,175,178,179,177,193,220,185,139,110,113,136,202,205,182,156,102,129,184,175,178,137,105,100,83,165,168,171,174,177,178,179,180,190,217,190,150,122,123,142,197,198,169,142,97,147,183,186,142,73,75,68,64,165,169,174,178,179,180,181,183,185,208,194,163,136,138,138,180,178,147,122,97,166,185,177,99,69,67,62,58,166,170,174,177,180,181,182,184,186,204,199,173,146,145,122,145,150,117,97,111,190,175,105,63,49,33,18,1,167,171,173,177,180,181,182,192,158,174,213,180,150,132,103,109,114,99,78,141,133,82,65,55,37,21,21,10,172,175,178,182,184,184,191,163,26,127,222,178,135,104,80,84,87,87,42,18,42,67,65,64,45,15,10,14,149,155,160,163,167,168,176,78,0,98,207,155,105,73,59,73,73,57,0,0,9,51,50,56,65,30,3,10,80,81,85,85,85,83,95,71,1,40,140,146,97,54,67,78,54,17,0,0,37,31,32,37,62,52,13,1,79,77,84,83,79,81,87,94,64,46,75,128,91,61,81,67,38,10,0,12,41,14,11,24,46,59,31,2
13,160,161,162,163,163,164,165,165,164,164,164,164,165,164,163,162,162,162,160,160,159,158,157,156,156,156,155,154,162,162,163,164,165,166,167,168,167,166,165,165,166,165,165,163,162,162,161,162,160,160,158,157,157,156,156,155,163,164,165,165,167,168,168,169,169,167,167,166,167,165,166,165,163,163,163,164,162,161,160,159,158,158,157,156,164,166,167,167,168,169,168,168,168,168,169,167,167,168,168,167,166,168,166,164,163,161,162,161,161,160,158,158,165,167,167,168,169,170,169,169,169,168,169,169,169,169,167,167,153,144,165,165,163,170,164,162,162,162,161,159,166,169,170,170,170,170,172,171,171,174,172,172,167,168,172,165,131,85,100,162,135,128,162,165,162,163,163,160,168,169,171,170,172,174,172,176,164,145,171,176,145,124,164,155,125,89,65,123,120,76,103,170,163,163,163,162,168,170,172,174,173,173,177,185,165,110,122,170,143,103,147,162,121,99,65,111,115,93,69,144,171,163,163,163,170,172,174,175,175,172,199,190,165,119,119,166,135,108,162,185,133,98,75,137,125,101,58,136,174,164,165,164,172,174,175,175,175,175,205,193,169,120,129,170,131,103,188,190,129,90,106,166,123,88,62,147,172,166,165,165,173,174,176,176,174,194,204,181,171,114,124,166,136,91,138,163,103,81,92,117,88,65,70,163,171,168,168,167,174,176,177,175,184,203,180,157,134,90,121,162,128,94,52,78,104,98,89,88,92,67,95,177,169,169,169,168,175,176,177,174,198,201,168,129,100,74,115,132,111,73,34,47,87,84,104,123,124,96,108,181,169,171,170,169,176,177,178,178,211,208,189,151,121,70,98,109,89,88,112,146,150,142,144,132,140,122,89,167,175,172,172,171,177,179,178,187,216,204,190,179,154,105,102,137,153,180,185,177,170,161,153,121,112,109,80,140,182,173,174,172,179,180,178,192,215,203,194,182,157,145,149,178,190,183,176,170,164,151,140,123,104,106,85,118,185,174,175,173,181,181,178,195,213,204,194,182,163,162,172,182,190,180,174,170,162,148,132,123,109,103,83,101,184,175,175,174,180,180,178,196,211,202,194,181,166,164,172,180,191,181,175,170,154,137,127,116,100,96,67,124,184,175,175,175,181,181,179,191,208,200,191,173,158,156,167,175,179,176,171,159,141,129,118,103,92,65,99,182,177,177,176,176,180,184,191,189,197,192,174,156,150,162,168,170,164,166,162,148,136,120,103,90,64,72,173,182,178,178,177,176,188,166,125,178,189,178,169,162,157,167,172,164,155,149,143,128,112,97,81,58,77,165,185,179,180,179,178,176,188,119,56,100,193,190,186,183,165,157,168,157,136,123,126,110,92,69,74,123,178,185,181,181,180,180,179,177,142,83,90,72,112,184,190,183,164,146,154,141,116,108,107,85,60,100,174,192,183,181,184,182,181,181,180,179,97,80,81,82,70,96,143,141,138,135,148,126,105,97,82,60,131,190,188,182,185,185,183,183,182,181,180,180,89,81,76,77,84,44,51,66,66,69,82,83,79,74,55,138,200,186,185,186,186,185,183,184,183,182,181,180,83,76,75,73,82,64,31,58,57,50,46,44,45,47,45,152,190,189,187,187,186,185,184,185,184,182,182,180,79,77,73,70,78,71,25,46,54,47,47,45,43,39,22,58,191,187,186,187,186,185,184,184,184,182,181,180,78,74,73,64,74,67,24,38,48,45,45,42,43,36,19,136,196,184,187,186,185,184,184,183,182,181,180,180
12,116,120,123,124,128,130,132,132,134,135,135,135,138,140,140,139,139,139,140,140,139,140,138,137,136,136,136,134,118,121,123,125,129,131,133,134,134,135,135,138,139,140,140,140,141,140,140,140,139,139,139,138,138,137,137,135,119,121,125,127,129,131,132,134,136,137,139,139,140,140,137,140,143,143,140,141,140,140,140,139,139,137,138,138,119,122,125,128,130,132,133,136,137,138,138,141,138,136,161,139,116,132,144,141,142,140,141,141,140,139,140,138,120,123,127,129,131,133,135,137,139,136,152,175,155,116,156,166,109,86,143,141,143,144,141,141,141,139,139,139,121,125,127,130,132,134,137,139,141,136,177,198,173,133,96,154,138,78,125,160,124,125,144,142,141,140,140,139,122,125,127,130,133,135,138,139,141,136,175,181,183,156,130,98,129,108,102,169,120,81,122,147,141,141,141,140,122,126,129,132,134,136,138,140,139,135,171,150,137,162,132,67,110,125,68,111,125,71,84,148,143,142,141,141,123,126,130,132,134,136,139,135,149,169,131,113,125,142,128,107,125,95,49,73,102,70,70,145,144,142,141,142,123,127,130,133,135,138,135,148,196,167,115,74,102,150,152,151,135,103,83,128,89,65,72,146,145,143,142,143,124,128,131,133,135,138,134,185,184,154,123,78,50,126,140,133,147,156,142,134,83,57,81,152,145,145,144,145,124,128,132,134,137,134,157,178,164,168,131,85,32,64,92,119,145,176,163,129,78,43,106,153,144,146,145,145,126,129,132,134,138,133,180,170,157,172,138,99,43,44,45,68,138,161,168,145,115,66,130,152,145,146,145,145,125,129,132,136,133,157,181,158,142,178,158,117,50,51,53,100,162,154,146,124,126,94,102,154,146,147,146,145,123,128,132,135,131,182,185,158,117,137,175,128,69,44,119,172,164,149,141,109,105,94,84,151,147,146,147,147,125,129,131,133,132,188,187,158,118,97,139,166,98,110,188,161,155,144,132,106,89,74,100,153,147,146,146,146,126,130,133,134,138,196,189,158,143,141,107,115,124,187,187,164,151,144,121,103,80,66,122,154,148,148,147,147,126,130,134,133,140,197,185,166,165,156,128,126,178,191,188,169,140,129,110,101,75,70,141,152,149,149,147,147,126,130,134,133,139,192,188,178,171,158,140,136,180,189,178,160,132,113,105,95,69,87,154,150,149,149,147,147,125,130,132,135,137,186,193,184,170,154,142,136,174,183,166,145,119,108,107,85,62,122,156,150,150,151,148,146,124,127,130,136,130,171,191,177,166,157,147,143,165,169,151,128,113,111,105,72,81,151,150,149,149,148,147,145,126,130,134,138,135,157,184,166,158,154,147,144,158,164,143,122,110,107,92,67,130,158,153,153,152,151,151,151,103,105,106,108,103,133,182,152,151,151,142,129,147,164,141,114,100,95,79,72,106,106,104,104,104,103,103,104,69,68,67,70,59,100,184,147,151,153,141,127,139,158,126,94,86,83,72,64,60,61,60,59,59,58,58,59,78,77,76,78,70,103,188,152,160,158,142,128,133,153,113,87,80,75,71,71,70,70,69,68,68,66,66,66,77,76,77,80,70,102,193,165,173,165,147,129,124,148,112,89,73,69,71,72,72,69,68,67,68,66,66,66,78,76,77,80,71,97,189,173,180,165,146,125,117,142,113,87,71,68,70,71,71,69,69,69,68,69,67,64,77,78,78,79,74,87,181,175,175,154,140,126,113,133,109,81,70,67,71,71,70,69,68,68,70,68,64,73
1,153,158,163,166,170,173,176,178,180,181,182,185,186,186,186,186,185,184,184,184,184,184,184,181,179,179,177,177,155,160,164,169,172,174,178,180,182,183,185,187,187,188,188,188,188,168,171,186,185,184,184,182,181,180,180,179,156,161,166,171,173,176,179,181,184,187,188,188,189,190,167,178,195,147,130,189,186,185,185,183,182,181,180,180,158,162,168,172,175,178,180,183,186,189,189,189,192,198,137,153,195,140,117,169,181,187,187,186,185,184,181,181,160,164,169,174,177,181,183,186,188,189,191,192,197,196,127,157,190,129,116,137,140,190,188,187,187,186,184,183,162,166,171,175,179,182,185,187,189,191,193,186,166,177,121,168,189,124,138,150,117,187,189,188,188,187,186,185,163,167,173,177,180,183,187,188,190,192,199,179,117,152,126,178,196,135,152,153,109,183,191,190,189,188,187,186,164,170,174,178,181,184,187,189,193,194,204,164,101,145,131,174,185,132,161,156,106,181,195,193,191,190,189,188,165,171,176,180,183,186,188,191,194,195,204,150,91,131,117,156,171,124,173,166,112,182,196,194,193,191,190,189,166,172,176,181,184,188,191,193,195,199,205,144,94,143,117,167,173,122,178,163,113,182,196,195,194,193,192,191,168,173,178,182,185,189,192,195,197,204,201,136,98,156,113,170,169,118,186,162,113,184,197,197,196,195,193,192,169,174,180,183,187,190,194,196,198,210,204,138,88,127,91,154,143,118,190,165,118,188,199,198,196,196,195,193,170,175,180,184,188,191,195,197,198,215,200,142,117,132,126,160,161,141,161,157,118,191,200,200,199,197,197,195,170,176,181,185,189,192,195,198,202,220,196,156,135,173,186,194,197,172,124,130,118,194,201,201,200,199,197,197,170,177,182,186,190,194,196,198,211,218,178,141,114,126,166,169,198,202,150,96,108,198,202,201,201,201,199,198,172,178,183,187,191,194,196,198,219,213,170,128,109,100,120,128,196,219,184,110,107,201,203,202,201,201,200,199,172,178,184,187,192,195,197,200,225,208,161,126,119,117,137,172,190,207,186,132,117,201,204,203,203,202,201,200,173,179,184,187,192,195,198,203,227,203,163,129,128,129,166,208,200,184,153,123,101,188,206,204,203,203,202,202,171,178,183,187,192,196,198,205,228,205,170,142,137,146,196,218,196,169,133,101,93,189,208,206,204,204,203,202,172,178,183,187,190,194,197,205,228,205,169,146,141,155,211,224,190,157,122,88,93,196,206,204,204,203,202,201,173,178,183,187,191,195,198,204,225,207,174,161,143,154,214,221,182,145,113,81,112,204,207,205,204,204,203,202,173,179,184,188,192,196,199,203,222,211,185,178,150,149,215,207,171,132,100,81,166,208,207,206,206,205,203,202,174,179,184,188,192,196,200,202,219,215,192,182,150,154,208,191,162,121,87,104,201,208,207,207,206,204,203,202,173,178,183,188,193,196,200,202,222,217,192,174,142,158,193,169,148,108,77,144,210,209,207,207,205,204,203,202,171,176,182,188,193,196,199,201,223,212,187,161,137,159,172,153,132,97,86,184,210,208,208,207,205,205,203,202,142,145,146,148,151,154,154,180,225,207,187,161,147,161,158,146,120,87,93,152,158,158,159,160,159,159,158,157,113,111,111,112,111,112,114,190,223,207,192,165,159,156,141,130,101,78,92,102,103,102,102,103,100,99,98,96,118,116,117,118,118,117,131,214,210,189,184,172,157,139,126,112,82,84,106,107,107,105,105,105,105,103,104,104
15,85,96,104,112,118,119,123,129,133,137,142,146,150,153,156,159,162,164,167,168,169,170,171,173,173,174,176,175,87,98,106,113,120,121,124,130,136,139,143,148,150,154,158,161,165,167,168,168,170,172,172,174,175,175,178,177,88,99,108,116,122,125,126,132,139,142,145,149,153,155,159,163,166,168,169,170,171,173,174,174,175,176,177,179,90,101,108,117,121,124,126,134,139,143,148,152,155,159,162,164,167,170,171,172,173,175,177,176,177,179,179,180,91,102,111,118,122,123,128,136,141,144,149,153,155,160,162,165,169,171,173,174,176,177,178,178,180,182,181,181,92,103,113,120,124,126,130,137,143,148,151,154,157,161,164,168,169,173,174,175,176,178,180,181,182,182,183,184,93,104,114,120,122,128,132,138,144,149,152,156,159,164,166,168,171,174,175,176,179,180,182,184,184,183,184,185,94,105,114,125,181,159,143,141,144,150,154,159,162,167,167,171,175,176,178,180,181,182,184,185,185,185,185,187,95,108,112,138,207,168,156,154,148,158,157,156,154,159,167,174,176,178,180,181,181,183,184,185,186,187,188,188,97,108,117,125,155,154,147,141,141,163,161,157,150,136,149,159,165,173,179,181,185,189,188,187,189,190,190,190,98,108,119,126,129,133,131,123,130,145,148,149,148,150,157,149,152,157,168,169,160,170,187,193,188,191,192,191,100,111,121,128,133,136,139,145,147,148,144,136,135,146,151,145,140,138,159,170,160,146,136,173,199,191,193,195,101,113,122,128,133,136,140,148,154,158,162,159,156,153,145,134,125,136,157,167,176,144,136,123,165,201,194,196,101,113,123,130,135,138,142,148,154,159,163,168,172,174,173,165,156,169,167,161,168,160,147,153,121,156,203,194,104,115,125,131,137,140,143,149,155,160,164,169,172,177,176,187,214,191,160,121,166,166,143,166,147,111,161,209,105,115,125,133,138,139,143,150,156,161,167,170,191,165,143,159,189,183,142,88,159,166,148,165,163,139,102,163,106,118,127,134,139,139,145,152,158,163,166,177,198,162,130,165,207,194,140,119,143,153,160,161,154,139,114,98,108,119,127,136,140,141,146,153,158,165,169,176,175,140,134,174,208,187,135,129,130,129,144,150,128,129,120,107,108,119,130,138,141,143,147,153,159,166,170,172,182,181,144,166,193,165,140,139,142,139,144,147,118,112,120,117,108,120,130,138,139,142,148,155,161,166,171,172,186,230,191,114,97,100,116,145,152,149,155,151,127,119,120,117,109,121,131,138,140,143,150,157,162,167,173,176,179,228,203,133,54,27,19,42,100,148,150,147,134,135,124,110,110,121,133,139,141,143,151,157,163,169,174,176,178,227,202,127,74,65,40,11,15,110,138,129,120,104,85,68,110,122,132,139,141,143,151,159,164,170,175,179,177,222,202,103,110,112,97,62,37,46,86,74,60,45,41,33,111,123,133,139,141,143,151,160,165,171,175,180,177,214,214,115,146,142,130,124,93,54,47,43,42,37,38,36,111,123,134,140,143,146,151,159,166,170,174,180,178,205,229,124,137,154,137,113,72,50,48,46,47,40,40,36,111,123,133,140,140,144,151,159,165,170,174,178,180,189,230,131,133,205,177,99,59,43,47,47,45,40,40,38,112,124,134,140,141,145,152,161,166,171,175,180,181,191,212,108,152,212,188,91,50,44,46,46,43,40,41,41,113,125,134,141,143,147,154,161,166,172,176,181,182,193,165,133,198,199,200,95,60,52,50,43,40,42,42,42
14,155,159,162,165,167,169,171,172,174,176,176,177,177,177,176,176,176,176,175,175,174,173,172,171,169,169,167,166,157,160,164,166,169,171,172,174,176,177,178,179,179,178,178,177,176,176,177,176,175,174,174,172,171,170,169,169,158,162,166,169,171,173,174,176,178,179,180,180,180,180,179,175,164,164,170,172,175,175,174,173,172,172,171,171,160,164,168,170,172,175,177,179,180,180,181,181,181,182,180,171,160,151,148,145,157,171,174,174,174,173,173,173,161,165,169,171,174,177,179,180,181,182,183,183,185,192,188,178,172,155,132,113,113,133,159,173,175,174,174,174,163,166,171,174,176,178,180,182,183,184,185,186,194,201,179,158,170,156,131,98,79,84,104,143,171,175,175,174,164,168,172,175,177,180,181,183,185,186,187,194,200,191,151,106,119,125,139,110,72,71,67,84,139,174,176,176,165,169,173,176,179,181,183,184,186,188,193,201,185,150,111,75,69,88,137,130,88,77,73,66,92,157,178,178,166,170,174,177,180,182,184,186,188,194,204,206,170,118,80,58,52,63,111,133,106,86,88,77,78,128,174,179,167,171,175,178,181,184,186,188,191,202,214,207,170,125,87,66,57,56,81,120,124,101,92,82,81,98,156,179,168,171,176,179,182,185,187,189,195,210,216,195,153,114,84,66,61,71,117,159,172,154,122,93,83,83,129,175,170,173,177,180,183,186,188,190,201,216,210,174,125,87,68,58,63,108,172,189,190,188,171,123,95,91,122,174,171,175,179,182,185,188,189,191,207,216,203,175,130,86,61,50,76,147,187,192,192,192,174,128,113,95,120,176,173,177,180,184,187,189,190,197,215,212,196,177,136,94,61,43,55,99,151,186,193,187,153,122,116,89,103,168,174,178,181,185,188,191,192,209,218,206,193,176,134,97,59,44,49,61,92,152,179,157,118,113,111,84,82,146,175,179,183,186,189,191,199,218,214,199,193,174,135,98,59,50,60,67,74,95,115,105,103,112,103,80,82,141,175,180,184,188,190,193,210,221,212,199,192,170,135,95,61,62,77,81,82,80,79,87,102,109,97,87,122,172,177,181,185,189,191,199,220,222,211,196,184,165,129,89,66,76,90,94,92,89,83,87,98,96,97,130,174,190,178,182,186,189,192,207,224,219,204,188,174,156,121,88,74,86,97,99,96,91,87,83,86,99,142,181,192,193,180,183,187,190,195,216,224,212,196,180,164,145,114,91,82,91,100,99,94,86,83,80,96,149,188,195,195,194,181,184,188,191,199,223,221,206,190,172,155,137,113,93,84,91,100,95,88,81,88,116,159,191,199,197,196,195,182,185,189,193,207,226,218,198,180,164,147,130,112,92,83,87,92,89,82,92,141,182,197,200,200,199,197,196,183,186,190,197,217,226,210,186,166,154,139,122,100,85,82,81,84,84,97,147,192,202,202,201,200,199,198,197,184,187,191,205,224,219,201,177,164,150,127,104,85,82,81,82,98,124,164,196,204,204,203,202,201,200,199,199,183,187,188,206,220,212,196,176,160,135,115,96,82,78,88,128,170,193,205,207,207,205,204,202,201,201,200,199,159,157,169,204,217,209,192,172,147,119,106,91,79,78,129,192,209,210,210,208,207,206,205,204,203,202,201,200,80,67,120,199,213,203,185,162,131,107,96,84,74,97,173,209,211,211,210,209,208,207,207,205,204,203,202,201,55,43,97,184,208,198,180,153,120,98,88,77,72,130,198,211,211,211,210,209,208,208,207,206,204,203,202,201
22,120,125,129,133,138,143,148,151,154,157,159,160,161,162,163,163,162,161,161,160,160,159,158,158,157,156,155,153,121,127,130,134,140,146,149,151,155,157,159,160,163,164,164,164,164,164,163,162,161,160,159,159,158,158,156,155,123,129,132,135,142,148,150,153,156,158,160,163,164,164,164,165,162,163,164,164,163,162,160,160,159,159,157,157,124,129,132,137,143,148,152,155,157,160,159,164,164,166,167,193,131,157,164,164,167,168,148,161,161,160,159,157,125,130,134,138,145,150,153,157,161,197,131,160,166,168,171,201,120,147,166,165,184,163,123,162,162,160,160,159,127,131,133,139,146,151,155,158,163,204,128,153,168,169,175,196,124,143,168,166,193,146,124,164,163,162,161,160,128,132,134,141,147,153,157,160,161,204,145,144,170,170,181,199,134,146,170,172,192,138,127,166,164,163,162,161,128,133,137,143,149,153,158,161,162,211,172,137,172,172,185,198,139,148,171,186,197,133,141,167,166,165,165,163,129,135,138,144,151,155,158,162,164,207,191,135,171,173,190,190,139,147,172,204,191,128,152,168,167,167,166,164,130,136,140,145,151,157,161,165,167,200,202,137,164,173,195,194,141,145,178,212,177,116,160,170,169,168,167,166,132,137,141,146,152,158,163,166,168,193,217,162,150,176,200,200,142,150,198,211,160,111,168,172,170,169,167,166,133,138,142,148,154,160,164,167,181,194,173,165,138,177,199,194,138,164,219,202,143,126,173,173,171,170,169,167,134,139,143,150,157,161,166,168,218,221,192,161,116,163,186,184,173,195,214,189,124,151,176,174,173,172,171,170,135,140,144,151,158,163,168,172,226,234,213,169,113,113,157,175,192,191,183,157,117,172,178,176,175,173,172,171,136,141,145,153,159,165,170,177,220,211,196,201,159,121,117,139,171,174,163,124,128,179,179,178,177,175,174,172,136,141,146,154,161,165,170,181,228,206,182,211,208,162,114,100,136,158,148,110,138,181,181,180,179,178,175,174,137,142,146,154,162,166,171,192,231,193,170,170,213,197,152,103,100,130,138,111,152,183,182,181,180,180,178,176,138,142,147,155,163,168,172,204,228,190,150,131,172,207,189,145,99,98,111,103,170,185,184,183,182,181,179,177,138,143,146,155,163,168,173,213,233,191,145,157,150,205,215,186,139,94,88,103,181,186,185,184,182,182,180,179,138,142,146,155,163,168,172,215,228,194,139,172,169,221,222,202,169,125,92,110,187,186,185,184,182,182,180,179,138,142,147,156,164,168,173,214,228,189,148,174,197,232,225,204,180,132,91,119,189,187,186,186,184,182,181,180,138,142,148,157,165,170,174,212,232,180,166,167,219,239,228,198,163,121,90,132,189,189,188,186,185,184,182,181,137,142,148,156,164,171,175,207,231,179,183,165,233,236,223,197,147,107,92,152,190,190,188,185,185,184,182,181,136,140,146,153,162,168,173,198,232,187,193,168,238,230,217,186,137,102,94,172,190,189,187,186,185,183,182,181,122,125,128,131,134,136,138,158,232,204,199,176,232,218,203,167,126,102,96,132,136,135,135,134,134,133,130,128,104,105,105,106,105,104,105,117,226,211,196,172,217,202,175,146,116,102,96,97,95,94,94,93,91,89,97,141,108,108,109,109,108,109,110,116,216,198,181,167,186,181,154,134,120,106,98,99,99,98,96,97,103,126,186,192,109,110,110,110,109,109,109,110,194,176,163,157,161,168,158,135,123,108,100,101,100,99,98,98,142,200,197,176
15,87,91,93,94,98,100,105,116,126,134,140,145,151,153,155,158,161,164,167,171,173,174,177,179,181,182,183,184,87,89,91,93,95,98,105,116,126,134,141,146,151,153,156,158,162,165,168,171,174,176,179,181,183,182,183,184,88,87,117,144,115,101,104,116,127,135,141,148,153,154,155,158,162,166,168,172,174,176,179,182,183,182,183,185,89,83,147,181,164,142,128,121,126,130,141,149,152,155,155,158,162,167,170,173,176,178,179,181,182,182,185,186,88,86,115,160,156,151,156,149,145,135,133,135,141,146,152,158,163,168,170,173,176,178,179,181,183,184,186,188,88,90,91,112,121,120,136,145,150,154,148,140,138,137,140,142,143,149,157,165,176,178,180,182,185,186,187,189,88,89,92,95,99,102,115,120,123,144,148,145,140,141,150,153,142,126,118,113,156,181,182,185,186,187,188,190,88,90,93,95,96,99,108,115,112,126,134,133,128,126,149,163,162,140,127,101,100,164,184,185,187,188,190,192,88,89,91,94,96,99,110,120,126,133,134,133,128,126,156,161,163,149,146,125,102,113,172,186,187,190,191,193,87,89,90,93,96,99,110,119,127,137,144,147,144,158,172,161,157,166,156,146,127,100,116,177,188,191,192,193,87,88,90,93,96,100,109,122,134,138,142,149,159,181,173,140,154,169,154,165,146,114,88,122,184,189,192,193,87,88,89,93,96,99,115,155,147,149,144,138,160,162,135,117,141,161,150,176,156,121,97,84,142,189,193,194,87,88,90,93,95,97,123,163,162,172,174,149,126,128,105,83,128,144,149,174,158,125,103,86,90,157,192,196,87,88,91,93,95,98,112,135,146,175,182,152,131,139,129,112,128,135,149,155,148,126,106,89,82,94,165,195,86,87,89,91,93,98,108,122,139,156,153,137,143,149,142,143,146,139,120,113,125,116,103,88,82,76,105,176,86,87,87,88,91,97,108,120,129,136,134,124,138,147,148,153,158,144,111,90,99,100,96,93,86,82,78,113,84,86,86,88,90,95,108,119,127,136,182,134,107,112,139,151,154,139,106,89,93,93,93,96,91,86,83,76,82,83,85,88,89,94,106,118,127,136,194,154,97,54,83,127,144,131,105,93,94,93,95,98,94,90,86,79,82,83,84,87,87,94,107,117,127,135,183,148,88,65,59,80,123,109,94,92,97,98,97,98,95,92,89,82,81,82,84,85,86,94,106,117,128,134,181,145,83,103,72,78,106,117,103,99,103,104,101,97,94,92,89,87,80,81,82,84,86,92,104,115,125,132,175,141,81,139,91,117,100,126,122,114,108,102,99,95,91,90,88,89,79,80,80,83,84,90,102,114,125,128,184,138,76,151,132,102,142,125,109,101,97,94,93,93,92,92,91,89,81,80,79,82,82,89,102,113,123,129,176,123,79,147,158,84,153,144,100,114,85,78,81,80,81,85,88,91,122,118,117,119,119,122,124,127,131,132,141,96,105,149,137,99,150,157,149,155,109,72,68,68,70,74,81,87,102,101,102,105,107,106,104,102,100,99,101,90,102,109,107,102,111,113,113,113,107,84,75,81,87,92,95,97,100,101,101,101,101,100,101,99,95,96,99,102,102,101,102,103,101,101,101,101,102,100,99,108,104,109,108,113,103,102,102,104,102,102,103,103,102,102,105,104,103,105,107,105,104,104,105,105,107,107,105,130,121,121,116,123,105,103,102,103,103,104,105,106,106,106,106,104,103,105,106,106,105,105,105,104,105,107,103,134,148,136,131,133
7,113,116,118,119,122,123,125,125,127,129,130,131,133,133,134,134,135,135,136,136,136,136,136,136,137,137,135,135,114,117,119,120,122,124,125,126,129,130,131,132,133,133,134,135,135,136,136,136,137,137,137,137,137,138,137,136,116,118,119,121,124,125,126,127,129,130,130,133,133,134,134,135,135,137,137,137,137,137,137,137,137,137,137,137,117,119,120,123,125,126,128,129,130,131,133,132,134,136,135,135,135,137,137,138,138,138,138,138,138,138,138,137,117,119,122,124,125,128,130,131,131,132,134,135,135,136,136,137,137,137,138,139,139,139,139,139,139,139,139,137,118,120,123,125,127,128,130,131,133,135,137,137,137,137,138,138,140,140,139,139,140,140,140,138,141,141,139,138,118,120,123,125,127,129,130,133,134,135,138,138,137,139,140,137,131,133,137,136,134,128,126,146,120,135,143,139,119,122,124,126,127,130,132,134,135,136,138,139,138,135,127,121,119,109,111,117,120,112,108,125,92,128,138,135,122,123,125,127,129,131,131,134,133,132,133,135,139,131,125,125,122,104,110,110,115,111,108,105,99,121,123,103,123,124,126,128,130,132,133,137,119,113,122,129,134,127,122,117,106,104,100,92,95,97,91,90,88,87,88,112,123,124,127,129,130,130,144,135,107,111,116,111,102,94,94,92,84,80,82,92,92,92,96,101,107,115,127,145,123,124,128,131,129,145,150,133,122,107,100,87,75,64,72,95,98,117,140,145,144,144,146,149,149,150,148,145,124,126,129,128,143,155,143,144,135,99,92,94,97,96,92,99,120,150,149,147,148,148,148,146,145,145,147,147,125,128,126,139,155,146,145,141,124,104,97,89,93,98,93,77,65,92,151,147,148,148,148,147,148,148,147,148,126,125,135,151,149,144,139,127,117,109,98,77,70,85,91,88,80,72,147,150,149,149,149,149,149,148,149,148,122,132,151,150,140,131,127,121,115,109,98,78,64,66,69,71,74,78,150,151,150,150,150,150,149,149,149,149,130,150,148,142,135,127,124,123,121,117,103,82,77,80,67,51,53,79,156,151,151,151,150,150,149,150,149,149,149,145,136,136,134,126,126,121,117,114,105,91,85,83,79,73,64,69,138,156,150,151,152,152,151,151,151,149,143,138,136,132,127,125,119,113,116,113,98,85,81,79,81,77,72,46,55,132,157,151,153,153,153,153,151,150,139,137,130,129,126,123,111,112,118,102,84,72,59,49,67,74,72,53,53,110,161,151,153,153,153,153,151,151,136,133,127,124,117,114,120,116,99,84,73,52,44,42,37,69,73,60,97,149,154,153,153,154,153,154,153,153,134,130,124,114,117,120,116,100,85,76,64,48,53,49,49,65,69,131,159,156,154,154,154,154,154,154,154,154,125,122,111,116,119,111,98,86,79,65,67,84,95,102,66,79,137,159,153,155,155,155,156,154,155,154,154,154,106,106,104,104,100,92,85,74,64,80,133,154,156,161,139,143,160,154,156,157,157,156,157,155,154,154,154,154,94,88,84,83,83,75,70,77,110,147,155,151,152,152,158,157,155,157,157,157,157,157,157,155,155,155,154,154,90,77,71,67,58,72,118,143,154,149,149,152,153,154,154,156,157,157,157,157,157,158,157,155,156,156,155,155,89,73,61,58,99,136,152,148,148,149,152,155,154,155,156,157,158,158,158,158,158,158,158,157,158,156,156,156,90,74,59,64,145,147,144,148,151,151,152,155,155,156,158,158,158,159,160,158,158,158,158,158,158,158,157,157
20,164,166,170,172,175,177,179,180,181,182,184,185,185,185,185,185,184,185,184,185,184,184,182,180,179,179,178,177,166,169,172,174,177,180,181,182,183,184,185,187,186,198,188,173,185,186,186,186,186,185,185,184,183,181,180,179,168,172,174,176,179,182,183,185,185,186,187,188,187,214,190,144,184,170,186,188,187,187,187,186,185,183,181,181,171,174,177,178,182,184,185,187,188,189,190,192,190,218,191,148,197,144,179,192,190,190,190,188,187,186,184,183,173,177,179,180,184,186,187,189,190,192,193,194,193,220,193,158,211,147,168,195,194,193,192,191,190,188,186,185,174,179,180,182,186,188,189,191,193,194,194,195,194,227,206,163,217,163,162,197,196,196,195,193,192,191,189,188,176,179,182,185,188,191,192,193,195,196,197,198,197,231,200,168,225,176,160,199,199,199,197,196,194,193,191,190,178,180,184,186,190,192,194,196,196,196,198,200,201,231,193,177,226,174,156,201,201,201,199,198,196,195,194,193,179,183,186,189,192,194,196,197,198,199,215,213,201,228,194,179,228,169,155,204,203,202,201,200,198,197,196,195,181,185,188,190,193,196,198,199,199,207,245,241,196,164,170,176,223,168,161,206,204,204,203,202,200,199,198,197,184,187,190,193,195,197,200,201,218,227,216,215,193,140,123,149,196,159,166,209,206,206,204,204,202,201,200,199,185,188,192,194,197,199,200,211,243,240,202,176,195,177,163,139,153,144,166,210,209,207,206,205,204,203,202,200,186,189,192,196,199,201,202,218,221,184,210,186,172,209,205,154,121,123,165,211,209,209,207,206,206,205,203,202,188,191,194,198,200,202,203,220,214,143,135,131,116,182,210,169,122,113,162,212,211,211,209,208,208,207,206,205,190,192,195,199,201,204,205,223,207,171,148,117,112,133,217,202,146,109,161,215,213,213,211,210,210,209,207,206,191,194,198,201,203,206,205,230,232,195,153,129,133,130,212,228,173,114,152,217,215,215,213,212,212,211,209,207,192,196,199,202,205,207,207,234,232,181,144,135,148,158,218,244,196,132,146,216,216,216,214,213,213,212,211,209,194,198,200,204,207,209,208,235,232,186,157,152,162,184,241,245,204,147,145,217,217,217,216,215,215,214,212,211,195,199,202,205,208,210,211,236,241,201,171,166,179,219,254,240,195,151,142,217,218,217,218,217,216,215,213,213,196,200,203,206,209,213,213,236,246,214,180,178,195,240,254,235,189,150,142,217,220,219,218,218,219,217,214,213,197,199,202,206,209,212,212,232,249,224,191,184,208,248,246,225,186,145,137,218,222,221,220,220,220,219,216,215,198,200,202,206,209,212,212,229,250,227,203,197,212,249,238,210,180,139,131,215,222,221,219,218,218,218,216,215,198,201,205,208,211,213,214,223,247,234,217,215,210,240,228,202,175,134,128,216,223,222,221,219,218,217,216,216,198,201,206,209,212,213,216,219,241,240,225,223,205,217,209,186,166,126,131,221,224,224,223,221,220,219,219,204,200,203,207,209,212,215,218,219,237,247,229,213,190,189,191,171,164,118,148,227,226,226,224,223,224,216,190,138,201,204,207,209,213,216,219,219,234,248,222,193,163,166,181,166,155,109,179,230,228,227,226,224,196,146,112,95,199,203,207,211,214,216,184,126,179,240,201,172,150,161,186,156,136,109,211,229,228,229,226,186,126,106,96,88,170,174,180,184,188,190,125,41,125,231,207,174,150,169,189,138,113,75,148,218,220,222,186,121,101,94,86,84
1,83,66,54,48,51,44,5,48,68,81,91,97,105,110,112,114,118,122,124,125,128,130,132,133,135,136,136,137,85,63,58,47,57,37,9,54,71,79,105,110,79,108,115,119,120,124,125,127,130,132,133,135,137,138,138,138,86,62,63,47,63,30,15,57,72,85,112,128,63,87,108,100,125,125,128,130,131,133,136,139,140,140,141,140,85,63,66,47,68,23,22,57,93,119,80,129,81,82,116,63,111,129,129,131,133,136,139,140,141,141,142,142,85,64,68,48,71,16,29,57,102,127,73,125,95,83,129,68,84,135,130,133,136,139,140,141,142,143,143,143,82,65,68,50,73,10,35,61,99,134,79,117,111,81,131,91,68,132,132,135,139,140,142,143,144,145,144,145,80,69,67,54,72,7,42,60,97,139,78,119,136,89,116,108,63,120,136,137,139,141,143,144,146,145,146,146,78,72,66,59,66,4,49,83,91,144,94,115,142,91,115,131,71,100,142,137,140,142,145,145,146,146,147,147,77,75,63,64,61,0,77,124,81,147,109,101,135,94,113,140,86,82,142,137,141,143,146,147,148,148,148,149,75,77,61,71,53,1,87,120,75,140,112,90,133,100,98,135,97,75,139,140,142,144,147,148,149,149,150,150,74,80,57,76,44,6,85,122,71,131,118,81,138,114,88,138,107,72,135,142,143,146,148,148,149,150,151,151,76,83,55,81,35,10,84,133,72,129,131,73,127,125,84,142,115,70,127,144,144,146,148,149,150,152,152,152,77,84,55,87,27,17,80,146,84,111,141,76,93,127,66,121,121,67,118,148,144,147,149,149,150,152,153,153,81,86,56,90,18,24,72,137,86,89,142,79,82,122,79,120,124,67,100,151,144,147,149,150,150,152,153,152,84,83,58,89,12,32,64,130,104,77,125,107,107,109,121,128,97,66,80,149,144,147,149,150,152,152,152,152,86,81,62,85,6,37,60,132,115,74,119,125,103,92,112,123,84,54,65,141,147,147,150,151,152,152,152,152,88,79,66,82,3,42,59,127,109,114,119,120,123,110,140,147,96,52,44,126,150,146,150,151,152,153,154,154,92,77,71,77,1,46,60,128,129,131,104,108,116,115,139,135,102,71,39,104,154,147,151,152,153,154,154,154,97,75,80,75,1,48,61,139,138,113,95,89,99,107,112,118,121,95,52,74,152,149,152,153,153,153,154,155,101,73,87,68,2,49,59,131,132,101,83,95,101,114,137,133,135,120,81,58,141,150,150,150,152,152,153,154,104,70,94,57,4,49,53,114,131,97,82,98,102,121,149,148,140,133,100,64,135,148,147,148,149,151,150,149,103,67,100,46,3,48,52,88,133,106,88,89,109,121,146,156,136,123,92,69,137,145,146,147,149,149,154,175,103,66,104,38,14,50,54,67,123,113,96,87,107,120,145,152,133,113,82,60,136,145,146,148,151,147,156,185,101,68,99,78,62,75,80,79,109,125,107,92,97,115,139,146,128,108,77,59,123,130,131,133,132,134,125,128,100,69,101,85,38,44,46,44,58,120,112,104,95,107,134,137,116,101,73,55,65,66,69,65,87,129,128,121,97,71,104,79,42,47,48,51,47,78,118,109,104,100,118,126,107,93,67,55,65,66,64,67,126,132,125,117,93,72,105,77,42,47,48,49,51,47,95,115,109,98,95,108,96,79,62,58,63,65,59,103,141,129,123,116,88,69,106,73,39,45,46,47,50,46,65,117,103,89,85,88,83,73,55,58,62,61,65,131,135,126,118,113
4,198,200,201,202,202,204,205,205,207,207,207,207,208,207,207,208,208,208,207,206,206,207,207,207,207,206,205,204,199,201,202,203,204,206,207,207,208,208,208,208,209,209,209,208,208,208,207,208,207,207,207,208,208,208,207,206,200,202,204,204,204,207,208,208,209,209,208,209,209,210,209,209,209,211,209,209,209,210,210,210,210,209,209,208,203,203,205,207,207,209,209,209,210,210,210,210,211,212,210,212,213,213,209,210,211,211,212,212,212,211,210,209,204,205,207,207,208,210,210,210,211,211,212,215,233,236,218,215,241,230,193,195,211,211,213,214,214,213,211,209,205,207,208,208,209,210,211,212,212,220,232,231,212,237,219,170,196,215,183,142,207,201,187,213,214,213,212,212,208,208,209,210,210,212,213,212,224,250,250,217,164,190,199,154,150,194,158,156,234,199,142,196,215,215,214,214,208,210,211,213,213,213,214,212,242,249,246,213,157,167,206,146,125,201,167,211,235,191,133,195,217,217,217,216,209,211,212,215,215,214,215,212,245,240,225,225,188,138,204,154,141,211,222,245,233,214,153,198,219,218,218,216,211,212,214,216,216,215,217,213,247,237,212,205,167,100,159,218,214,220,228,223,225,232,195,185,220,218,217,218,211,214,215,217,217,216,218,220,252,244,216,186,148,114,108,188,190,196,201,183,234,247,227,176,211,221,220,220,212,214,216,218,219,219,218,229,253,239,200,171,156,139,130,138,139,160,161,148,243,253,241,199,177,223,221,220,215,216,217,219,219,222,220,235,254,240,204,167,144,139,142,149,137,160,145,174,245,251,239,205,157,215,222,222,216,217,218,220,220,222,220,241,254,242,208,170,150,141,149,160,166,195,204,248,250,241,219,186,154,196,224,224,217,217,219,221,223,223,221,245,254,244,217,184,155,144,156,175,182,216,246,253,248,233,204,168,148,196,225,224,218,220,221,223,223,224,222,245,255,246,227,198,163,146,156,179,207,242,254,253,244,224,190,158,144,213,226,224,219,221,223,223,224,224,223,245,255,249,235,206,178,161,162,191,236,253,255,251,235,210,176,150,156,225,227,226,219,221,223,224,225,226,223,244,255,253,241,216,199,177,183,206,247,254,253,245,224,194,162,141,182,229,228,228,222,222,223,224,226,227,225,240,254,254,247,224,213,201,190,211,239,253,247,231,208,179,149,136,211,231,229,229,222,223,224,225,226,227,229,236,254,254,251,233,222,210,193,199,229,249,232,216,196,163,142,150,228,231,230,229,223,224,225,226,227,227,225,225,246,247,242,229,216,199,188,189,209,233,214,197,182,150,132,187,232,232,231,230,225,225,224,213,196,181,166,156,156,153,142,132,126,129,134,146,168,192,190,181,167,142,132,223,235,234,233,232,225,226,185,167,154,150,143,138,130,119,109,97,90,85,73,70,81,88,99,121,139,124,166,234,235,234,233,231,226,227,170,154,151,147,141,137,124,115,103,93,89,81,68,68,72,70,63,60,69,92,211,235,235,234,233,232,227,230,185,149,147,143,140,134,118,107,99,90,88,77,70,69,73,65,59,57,57,56,123,234,235,235,235,235,228,230,201,151,147,140,138,129,117,104,98,89,85,77,70,70,71,63,56,54,54,54,54,196,237,237,237,237,229,231,211,155,144,143,138,129,114,105,96,87,82,78,70,70,67,61,54,52,53,54,66,216,238,237,237,237,229,231,217,153,143,146,134,123,111,103,93,86,79,76,71,69,65,59,53,50,54,50,143,240,239,238,238,238
1,130,132,135,135,137,138,138,139,141,141,141,141,141,139,141,144,140,142,142,141,141,141,141,141,141,141,141,140,132,135,137,138,139,140,141,141,142,142,142,143,144,147,131,118,145,142,143,143,142,142,143,143,144,143,141,141,136,138,139,141,142,142,142,142,143,144,143,145,136,150,142,72,145,150,143,143,144,144,145,145,145,144,143,143,138,139,140,142,143,144,143,144,145,148,144,161,126,113,150,69,121,132,146,146,147,147,147,147,147,147,146,145,139,141,142,144,145,146,146,146,147,149,145,164,123,108,151,74,94,97,110,156,147,149,148,149,149,148,147,147,141,143,144,145,147,147,148,149,149,149,148,164,127,110,161,97,93,119,78,156,149,149,149,150,149,150,149,148,142,144,145,147,148,149,150,150,150,150,133,166,140,100,163,114,87,127,75,141,155,152,152,151,150,151,151,149,144,146,148,149,148,149,152,152,152,159,101,136,157,92,152,122,94,143,95,120,158,152,154,154,154,153,152,151,145,147,148,149,151,152,153,153,155,163,93,129,157,91,138,131,100,157,120,98,161,154,155,155,155,155,154,153,146,148,149,150,153,154,155,154,157,168,99,130,156,95,143,143,99,138,144,90,148,159,157,156,155,155,155,154,148,149,151,152,154,154,157,155,160,168,100,140,172,109,130,158,97,121,157,96,126,166,157,157,158,157,157,157,148,150,151,153,154,156,158,156,162,160,99,132,173,105,102,154,92,121,167,109,105,167,157,159,159,159,158,157,149,152,153,155,156,157,158,157,164,158,117,102,164,82,92,148,92,105,163,124,92,163,161,160,160,160,159,158,149,152,154,155,156,157,159,157,169,161,111,78,154,137,122,116,133,142,122,109,87,153,165,161,161,160,161,159,151,153,155,157,159,158,160,158,169,153,111,114,113,164,126,127,156,131,107,113,80,129,170,160,162,162,162,161,153,154,155,157,159,158,159,160,166,152,145,141,92,137,143,167,158,142,106,102,88,91,172,163,164,164,163,161,153,155,157,158,159,160,160,162,167,147,136,127,96,135,168,166,143,164,150,112,85,71,161,168,163,164,165,164,152,155,157,159,159,160,160,163,173,143,122,116,139,150,142,127,101,173,177,159,118,62,140,172,164,166,165,165,152,154,155,158,158,159,159,164,181,150,114,116,109,106,98,93,122,159,173,156,134,92,122,176,165,166,165,165,152,154,155,156,158,159,160,163,188,164,113,112,112,112,124,150,177,159,154,144,113,86,107,175,164,165,165,165,153,154,156,157,159,159,159,161,186,178,121,117,131,129,171,180,176,168,151,135,106,62,106,176,164,165,165,165,153,155,157,159,159,160,160,162,183,190,138,125,141,127,167,183,181,172,147,124,100,58,101,176,165,165,166,165,152,154,156,159,159,160,161,161,180,190,151,135,155,126,164,188,187,171,140,115,92,58,116,177,165,166,166,166,153,153,156,158,159,160,161,158,173,187,163,147,164,126,152,190,186,161,134,109,84,62,144,174,167,168,167,167,158,159,160,162,163,164,164,162,167,182,174,160,157,139,134,189,181,154,129,103,75,66,164,169,168,168,167,167,127,130,134,140,141,143,147,149,152,178,183,172,150,141,118,180,173,146,120,95,69,82,178,173,176,176,169,168,70,73,75,75,76,78,81,82,80,166,182,162,144,134,114,157,160,135,109,90,74,83,127,128,129,130,151,173,75,77,78,78,79,78,78,81,68,142,174,151,141,132,117,140,150,131,101,87,80,73,72,71,91,139,156,163
7,206,207,208,210,212,212,212,212,213,213,213,213,213,214,214,213,213,213,214,213,212,211,209,208,206,205,204,202,207,210,210,211,212,214,214,215,215,214,214,214,215,214,216,217,215,215,215,215,214,212,211,209,206,206,207,205,209,211,213,214,215,216,215,215,217,218,217,217,218,219,218,218,217,218,218,217,216,215,212,211,210,209,207,206,211,213,214,215,217,217,218,218,218,219,220,220,220,220,220,219,218,219,220,218,217,216,214,212,213,211,209,207,213,215,217,216,218,220,220,219,220,220,221,221,221,221,221,221,220,220,221,220,219,218,217,216,215,213,212,211,215,217,218,219,219,221,221,221,222,221,221,223,222,222,223,222,222,222,221,221,220,219,218,218,216,214,213,211,216,218,218,220,222,223,223,223,224,223,223,224,224,224,224,223,224,224,223,223,222,221,220,219,219,216,215,214,218,220,220,222,223,224,225,224,227,229,228,226,227,227,227,226,226,226,226,225,225,224,220,220,221,220,217,216,218,220,222,223,223,225,229,232,221,202,216,224,224,222,225,227,228,226,225,224,222,221,227,223,221,219,219,217,219,220,223,227,231,233,236,239,230,197,178,198,212,210,213,213,211,213,214,216,212,224,240,209,224,220,220,219,223,229,233,237,237,233,231,228,227,198,165,179,195,203,204,198,194,197,194,202,195,194,182,206,225,221,221,221,237,238,237,233,228,221,212,212,220,202,169,160,168,186,197,205,204,195,196,199,190,191,195,198,222,218,221,222,236,233,227,222,218,213,212,217,228,214,173,162,161,157,162,167,169,170,179,183,183,185,195,188,196,194,223,222,232,223,213,209,205,207,211,219,215,194,172,165,174,176,170,148,152,201,196,194,188,186,188,191,192,214,227,224,230,219,208,203,205,204,200,209,217,195,161,144,159,177,180,174,154,216,243,235,235,235,233,232,233,231,226,226,231,223,215,210,210,210,206,207,222,207,172,157,163,162,161,160,152,222,236,233,234,233,232,231,229,230,228,229,225,223,220,215,211,210,209,213,221,207,178,176,183,172,173,144,191,245,235,237,236,235,234,233,232,232,233,215,217,219,220,219,214,208,205,207,200,190,175,172,179,175,164,166,241,238,237,238,236,236,236,235,234,237,191,143,181,205,222,217,207,202,196,186,171,156,142,117,127,158,147,200,248,237,238,238,238,237,237,235,240,222,140,144,91,118,164,196,186,170,171,174,196,212,148,107,125,145,169,237,239,239,239,238,237,235,235,237,235,179,135,130,73,66,75,89,149,217,227,240,244,250,229,160,181,203,234,243,241,240,239,237,237,242,238,234,176,130,121,102,68,68,64,67,219,247,241,241,239,239,242,242,243,247,242,242,242,241,239,243,244,205,164,145,125,114,104,91,62,62,53,87,244,237,239,241,242,242,241,241,239,239,241,243,243,240,243,222,169,134,133,124,116,103,92,85,63,63,52,77,242,239,239,241,241,241,242,242,242,241,243,242,241,251,224,142,102,104,121,112,107,106,98,82,70,66,40,74,249,244,245,245,245,247,247,248,248,248,247,248,250,221,159,135,105,84,99,105,98,101,103,86,70,54,36,60,204,210,211,214,216,219,221,221,223,225,225,229,216,136,108,138,101,77,80,96,92,93,103,95,56,40,40,66,139,137,138,140,142,145,148,148,150,151,148,160,159,116,99,130,98,71,76,84,86,87,97,99,44,44,41,87,151,142,143,145,144,143,143,144,144,141,146,155,144,106,93,122,94,71,72,80,82,83,90,97
4,96,104,114,121,124,127,130,133,136,137,139,142,143,146,147,149,151,153,155,157,158,159,160,161,162,163,165,165,98,105,115,122,124,128,132,134,137,138,141,143,144,145,146,149,154,154,155,158,159,160,160,161,162,163,164,165,99,107,115,121,125,130,133,136,139,139,138,141,147,156,141,134,137,155,154,158,160,161,162,163,162,163,163,164,101,108,118,122,127,131,134,136,138,150,153,135,132,160,172,145,108,114,138,121,145,162,161,164,164,165,164,165,102,110,120,124,127,132,134,136,137,172,181,166,133,107,167,142,107,78,132,101,100,166,162,165,165,166,166,167,103,111,120,125,130,132,135,155,157,144,124,166,136,92,129,132,97,71,119,104,92,165,164,165,165,166,167,168,105,113,122,126,130,131,150,191,173,136,94,141,130,87,102,146,107,73,133,119,86,160,165,167,166,167,168,168,105,115,123,126,129,130,163,170,172,132,93,115,147,94,75,149,124,65,144,127,79,156,167,167,167,168,168,169,106,117,123,127,130,130,167,168,152,150,123,86,152,114,44,117,151,97,110,114,124,117,151,168,168,169,170,170,108,116,123,128,132,131,169,167,132,141,123,61,102,104,59,102,157,130,109,114,125,110,122,171,169,171,171,172,109,119,125,128,133,131,170,174,155,131,103,83,75,99,92,109,134,135,128,118,113,129,110,163,171,171,171,171,111,120,127,130,135,134,184,174,147,127,111,91,92,116,103,121,136,133,121,118,138,149,114,140,175,173,173,173,112,121,127,131,135,139,192,173,139,118,102,88,99,114,119,131,146,126,97,137,166,155,131,119,176,174,173,174,113,122,128,131,134,144,196,169,141,120,105,95,105,114,134,138,151,162,162,144,147,157,136,106,165,176,174,174,114,123,128,132,134,152,202,173,143,121,111,98,108,121,143,150,160,176,173,163,155,137,123,91,144,179,176,176,117,123,129,133,134,150,206,176,149,129,110,100,108,123,149,161,173,180,174,165,154,132,107,83,139,182,178,179,119,124,128,134,135,149,208,182,159,137,111,105,111,125,156,173,179,181,173,164,146,128,104,81,157,180,178,179,120,125,128,133,136,151,211,183,163,143,124,117,117,130,165,184,186,179,167,156,142,121,96,96,180,178,179,179,120,125,128,134,137,149,205,185,170,152,139,122,125,144,172,192,188,178,165,149,133,111,82,130,184,178,179,179,120,125,129,135,138,143,193,189,178,162,152,137,130,160,167,188,186,175,164,143,124,97,82,167,181,179,180,180,120,125,130,135,138,139,181,191,183,170,159,149,135,154,163,181,181,171,159,140,120,88,112,184,179,179,180,180,121,125,130,136,139,141,167,200,187,176,162,150,139,149,160,178,176,162,154,139,117,87,156,182,180,180,181,181,122,125,130,136,139,142,159,209,189,174,160,146,142,148,161,172,165,152,141,134,110,110,182,181,180,180,181,181,123,126,130,136,141,143,157,214,183,169,160,151,149,152,159,162,148,140,128,117,103,163,181,181,181,181,181,181,122,126,130,136,141,144,158,207,174,169,166,163,158,153,155,157,144,133,119,93,147,180,181,181,181,181,181,181,123,127,131,137,140,142,161,201,175,175,172,168,167,156,151,150,140,125,102,103,181,178,180,180,182,182,182,182,122,126,131,137,141,143,163,203,190,177,168,171,175,157,143,139,133,116,84,135,182,178,179,181,182,182,182,182,122,127,132,137,141,143,163,200,196,176,171,177,176,152,140,133,131,107,80,161,181,179,181,182,182,182,183,183
4,151,151,152,152,152,152,151,151,150,151,150,149,149,148,149,148,146,146,145,144,143,144,143,142,142,141,139,138,153,153,153,153,154,153,151,151,151,151,150,149,150,148,148,149,148,148,146,146,145,144,143,143,141,142,141,139,154,155,155,155,154,153,153,153,153,152,150,150,149,148,149,150,147,147,148,145,144,145,144,143,142,142,142,141,155,156,155,156,156,155,155,155,154,155,153,152,152,154,152,150,152,149,146,146,146,146,145,143,144,143,143,142,157,157,156,156,157,156,155,153,150,143,148,154,133,126,147,147,135,136,151,147,148,145,144,145,144,144,143,143,158,158,157,158,157,156,158,163,140,125,89,106,128,89,71,126,122,78,96,159,150,150,145,146,145,145,144,142,159,159,158,158,158,154,168,173,146,116,72,52,117,89,43,96,117,76,46,81,99,115,149,146,147,146,144,143,160,160,160,159,156,163,173,150,154,100,59,56,113,75,38,93,110,68,52,25,52,47,89,153,145,146,144,144,161,160,161,161,158,165,172,139,152,102,90,53,118,110,35,84,135,94,53,29,51,43,55,153,145,147,147,144,161,161,161,162,159,164,164,122,143,144,123,56,144,139,37,83,176,114,55,34,88,68,73,155,146,149,148,146,161,161,162,162,158,170,184,156,127,136,94,55,144,118,31,72,164,105,53,59,117,109,67,143,151,148,148,146,162,162,161,163,161,179,172,149,124,97,63,40,73,59,73,144,113,105,113,103,111,103,59,95,159,147,149,147,163,163,165,164,165,175,155,132,104,85,75,63,43,33,88,166,121,113,129,118,114,100,87,63,140,153,148,149,163,163,165,162,168,190,171,149,125,82,60,55,51,55,49,114,123,109,121,113,96,124,119,67,99,160,147,149,164,164,166,163,172,190,171,156,120,77,66,57,50,51,56,77,84,94,112,65,97,145,131,92,61,155,150,149,166,166,168,164,178,189,174,157,113,75,75,60,52,57,72,84,92,116,129,112,109,144,140,99,46,129,157,150,166,167,167,164,180,187,174,138,110,87,74,63,49,80,115,139,147,150,141,148,122,104,115,89,45,95,161,148,167,168,168,165,179,188,170,138,120,80,69,78,108,145,156,156,147,145,130,118,124,86,83,76,53,70,161,148,168,169,168,168,182,185,167,142,125,100,98,123,145,159,153,152,143,134,123,108,109,87,74,73,58,55,159,150,168,168,170,165,169,184,170,148,138,111,112,139,138,164,150,145,137,130,119,104,94,82,69,68,37,82,162,151,169,170,173,90,65,89,133,160,135,112,103,134,133,144,142,135,137,122,99,91,85,68,57,37,58,154,155,154,169,179,145,46,51,42,47,61,61,58,67,101,120,131,133,131,123,105,86,82,68,56,32,44,147,160,156,156,171,179,88,48,48,48,48,16,3,23,21,26,46,72,96,123,113,98,82,67,53,28,43,144,162,155,157,156,183,136,45,52,45,44,47,37,0,15,22,19,16,12,18,42,66,73,60,44,21,53,148,164,157,159,158,157,176,76,46,45,38,37,43,41,0,3,17,19,16,15,12,8,9,23,23,15,77,159,165,159,160,159,159,158,121,46,53,38,34,38,43,34,0,1,13,15,12,10,13,12,11,11,0,61,181,161,161,161,160,160,160,158,61,48,30,59,58,19,49,16,0,3,13,12,8,10,10,8,11,5,0,0,134,172,161,162,162,161,160,159,46,40,28,52,78,32,35,0,0,6,8,7,5,7,7,9,10,0,0,0,80,180,161,164,161,161,161,160
4,173,174,174,175,176,174,174,174,175,173,172,172,173,172,170,170,171,170,168,167,166,165,166,165,163,162,160,160,175,175,176,177,177,178,176,176,176,175,174,176,173,176,178,169,157,159,169,169,169,168,167,166,165,164,162,162,177,178,179,179,180,180,179,177,176,179,187,186,166,148,178,202,173,129,117,175,172,170,167,167,167,165,164,163,180,181,182,181,181,181,179,182,183,152,179,195,170,115,93,170,168,118,74,122,148,155,171,170,168,166,166,165,181,181,182,183,182,179,195,206,173,125,92,171,151,101,66,126,140,96,71,61,103,101,116,172,168,167,167,167,182,183,182,184,183,184,220,213,162,123,73,153,141,101,59,103,127,96,68,66,98,82,65,165,172,170,168,168,184,184,183,185,184,192,216,208,172,180,94,120,170,148,59,84,152,130,75,81,107,80,63,162,174,172,170,169,184,185,185,186,186,192,220,190,195,204,117,92,193,153,62,68,163,136,71,90,149,113,79,165,175,173,171,170,185,187,186,188,188,188,221,201,187,158,99,75,142,119,70,68,112,115,47,86,178,128,98,174,176,174,172,172,187,188,188,189,187,193,233,223,197,164,127,105,81,76,79,98,146,151,85,78,136,106,128,181,177,174,174,173,189,189,190,192,187,209,237,213,181,163,143,132,116,128,137,155,186,147,108,83,80,61,157,182,179,176,175,174,190,191,191,193,188,221,226,190,156,135,143,200,172,175,191,164,172,137,126,95,80,73,169,181,180,178,177,175,191,193,193,194,191,230,226,192,164,139,136,194,173,176,185,171,157,154,147,109,70,66,166,183,178,179,178,176,192,195,195,194,197,239,227,197,168,141,120,137,144,141,155,139,133,179,170,125,80,61,160,186,180,180,179,178,195,196,196,193,206,240,222,199,165,129,115,105,89,93,132,103,119,188,185,134,94,63,150,189,183,181,180,179,197,198,198,195,215,238,222,198,154,127,128,118,101,126,191,185,151,189,193,136,103,66,140,190,183,181,180,179,198,198,199,195,219,237,223,194,153,134,138,122,109,194,219,205,188,169,184,141,113,76,122,192,185,183,182,181,199,199,201,197,224,236,214,173,152,150,139,113,166,225,224,207,182,172,148,132,110,80,133,192,186,185,182,181,201,201,202,199,229,232,202,171,177,149,127,128,218,231,223,201,172,154,136,111,97,74,168,189,186,185,183,182,202,202,202,205,235,228,199,186,182,145,116,175,231,225,209,189,165,142,126,101,81,87,189,188,188,186,184,183,202,204,209,160,217,228,200,189,187,138,150,202,231,211,193,178,159,133,111,91,61,140,194,190,188,187,185,184,205,209,186,78,109,206,205,193,179,128,161,202,218,196,183,171,146,119,99,76,83,189,192,190,191,189,187,186,209,200,102,75,69,93,168,185,156,122,142,194,200,180,167,154,131,106,85,62,157,199,194,193,193,190,189,187,213,130,72,75,75,66,78,117,121,105,128,165,178,163,149,134,115,90,62,109,200,196,194,194,194,192,190,188,153,83,82,70,66,71,67,63,66,89,116,136,153,140,128,109,92,66,75,190,200,196,196,195,194,193,190,188,83,80,79,67,65,65,64,68,52,56,83,104,120,105,91,81,67,64,169,204,200,199,199,197,195,193,192,191,83,78,68,66,62,63,61,64,61,24,38,50,64,64,51,46,56,161,207,200,200,200,200,198,196,194,193,192,77,71,66,65,60,59,57,59,66,36,18,30,32,32,31,20,104,213,204,202,202,201,201,199,197,195,194,192
11,100,104,108,111,113,115,118,120,121,124,125,126,127,129,131,131,133,134,133,135,136,137,137,138,137,137,136,136,101,105,109,112,114,117,119,121,123,125,126,127,130,132,132,133,133,135,136,138,138,138,139,138,138,139,138,137,102,106,110,113,114,118,120,122,124,125,127,128,131,132,132,134,135,136,137,138,138,139,140,139,139,139,139,139,103,107,111,114,116,118,119,122,125,126,128,129,131,133,133,132,138,137,138,139,139,139,140,140,140,140,140,140,104,108,112,114,116,119,121,124,126,128,130,131,132,134,137,122,105,141,139,140,141,141,141,141,141,141,141,141,105,109,112,116,117,120,122,125,127,129,131,132,134,133,140,128,74,135,142,141,141,143,143,143,142,142,143,141,105,109,113,116,119,121,123,126,128,130,132,133,135,133,148,122,74,136,143,143,143,143,143,143,143,142,142,142,105,110,114,117,119,121,124,127,130,131,133,133,135,135,155,102,82,146,141,143,144,143,144,144,144,143,144,144,106,111,115,118,120,121,124,127,130,132,134,135,135,142,156,92,98,149,143,144,145,145,145,145,145,144,144,143,107,112,115,119,120,122,125,127,130,133,134,134,133,152,133,78,115,148,144,145,146,146,146,146,146,145,145,145,108,112,115,118,121,123,126,128,131,132,131,132,137,157,98,73,135,145,144,145,145,146,146,146,146,145,145,145,108,113,115,119,122,122,127,128,128,129,144,142,101,114,84,87,148,143,145,145,145,146,147,146,146,146,145,145,108,112,116,118,120,126,120,129,146,112,115,132,90,70,71,116,150,144,146,146,146,146,147,146,146,146,146,145,108,112,116,135,154,146,112,82,140,109,74,110,88,62,66,138,145,144,146,147,146,147,147,147,147,147,147,147,109,109,132,141,130,147,112,73,125,90,85,123,80,51,81,150,144,145,146,147,147,148,148,148,148,147,147,147,107,114,135,122,107,137,107,76,120,75,98,116,71,47,101,153,144,146,147,146,147,149,149,149,149,149,148,147,104,125,141,106,84,122,99,72,105,71,107,98,60,45,114,151,144,146,146,147,148,148,148,149,149,149,148,147,105,143,139,110,88,107,72,76,88,65,101,81,54,42,121,151,144,147,148,149,148,151,151,148,149,148,148,149,115,156,131,111,90,89,65,86,67,71,115,62,45,48,101,150,145,142,136,129,125,122,137,153,149,149,149,148,132,158,125,110,92,78,73,101,43,52,93,50,68,85,86,117,131,136,135,127,119,102,91,119,153,149,149,148,135,150,129,116,100,83,81,92,80,94,103,113,117,115,120,127,133,128,116,101,95,101,94,71,139,152,149,149,129,147,133,122,105,92,100,122,135,131,128,128,125,113,117,118,94,91,105,117,134,145,135,119,144,151,149,149,132,153,134,125,107,96,110,135,129,122,127,122,115,92,85,83,109,138,152,154,154,152,153,155,151,150,150,150,146,154,127,117,100,97,111,127,121,119,122,108,85,66,95,134,153,151,149,149,150,151,150,150,151,151,151,150,155,126,112,105,100,102,108,112,117,114,100,69,70,116,149,150,148,149,149,150,151,152,152,151,150,151,151,151,153,121,110,112,109,106,106,99,103,87,59,89,137,149,145,146,149,149,149,150,151,151,151,151,151,152,151,150,148,134,103,121,121,108,101,85,78,64,108,144,142,141,143,145,147,147,146,148,149,150,150,150,148,149,151,154,147,136,99,128,124,103,87,74,57,103,145,136,139,141,143,144,145,147,147,147,148,148,150,149,158,165,167,167
24,209,210,210,210,210,211,211,211,211,210,210,210,209,207,205,204,203,201,199,198,196,194,194,191,189,186,185,182,213,213,213,214,214,215,214,213,213,214,213,213,212,210,209,208,206,204,202,206,202,198,198,196,194,192,188,185,217,217,218,219,218,218,218,216,217,218,218,218,215,214,213,212,211,210,206,169,195,206,201,200,197,194,191,188,219,220,221,220,221,220,220,221,220,220,221,220,219,217,216,215,214,212,215,131,150,215,201,202,199,197,195,192,223,223,222,223,224,227,228,222,222,222,221,221,220,220,219,218,216,216,222,133,142,218,205,205,202,201,198,195,228,227,227,228,231,198,203,232,225,226,226,226,224,223,221,221,218,222,223,129,147,223,210,209,207,205,202,200,229,229,230,230,230,172,124,225,232,231,231,230,229,227,226,225,220,230,219,120,165,225,211,212,210,206,204,204,231,232,231,231,230,186,114,175,244,230,233,233,231,229,229,228,222,238,214,121,184,226,214,214,211,209,207,205,235,234,234,234,239,210,137,134,247,231,234,235,233,231,231,230,233,238,187,110,204,225,218,216,214,213,210,207,237,237,237,236,240,227,162,105,231,239,235,236,240,238,234,224,227,243,161,105,225,223,221,222,218,216,212,210,238,239,239,237,239,236,196,108,188,251,237,239,210,211,237,199,132,173,155,135,239,223,225,223,219,218,215,212,240,240,241,241,240,242,212,130,131,253,241,220,188,162,178,172,129,103,115,171,241,227,228,225,221,220,218,215,243,244,244,244,243,248,218,160,103,228,240,214,207,176,163,150,180,141,66,202,240,229,229,227,224,223,221,217,246,246,245,246,245,248,230,200,128,171,220,208,218,172,177,176,184,135,79,227,237,232,230,230,227,223,222,219,247,248,248,247,246,247,241,222,147,119,165,176,239,178,132,136,167,160,86,207,245,235,233,231,229,226,224,222,248,249,249,249,249,251,251,226,186,166,146,146,214,185,93,63,191,185,101,142,255,233,236,233,232,230,226,222,250,250,250,251,251,253,252,232,237,183,124,96,187,159,88,57,165,209,157,85,216,242,236,235,235,232,229,226,253,253,253,254,254,253,255,238,228,156,123,100,180,144,78,103,226,227,192,86,156,254,233,236,235,232,229,228,254,255,255,255,255,255,255,247,225,193,182,122,174,173,103,198,242,217,168,81,163,253,235,237,235,233,230,229,255,255,255,255,255,255,255,252,229,225,193,134,154,141,173,255,224,197,150,66,196,253,238,239,237,234,232,230,255,255,255,255,255,255,255,254,220,237,207,171,124,147,244,250,219,182,139,76,223,250,240,240,238,237,235,231,255,255,255,255,255,255,255,255,225,220,210,190,136,159,246,235,209,175,121,86,238,245,240,239,237,236,233,231,255,255,255,255,255,255,255,255,225,209,207,204,161,146,234,234,197,159,99,101,252,242,241,239,237,234,230,227,255,255,255,255,255,255,255,255,233,211,212,207,192,142,218,231,186,138,71,145,255,242,243,241,238,233,235,239,255,255,255,255,255,255,255,255,251,220,218,206,206,128,178,205,149,107,51,200,255,242,243,239,239,249,224,176,255,255,255,255,255,255,255,255,255,226,224,207,188,139,138,168,128,79,74,247,250,247,249,254,237,191,103,56,178,183,189,196,199,204,209,214,217,232,221,195,178,164,128,158,134,58,150,255,241,241,222,166,104,57,48,49,120,121,123,123,120,120,120,114,132,235,228,211,205,177,147,160,117,65,115,134,129,116,87,52,51,57,48,46
4,198,197,198,196,195,195,194,193,194,193,192,192,191,189,188,187,186,185,184,182,180,179,178,176,174,175,174,172,200,200,199,198,197,197,196,196,195,194,193,192,192,190,188,188,187,185,185,184,183,180,179,178,176,175,175,174,200,200,199,199,200,198,197,197,197,197,196,193,193,191,190,189,187,185,184,185,185,182,181,180,178,175,175,174,202,201,200,200,201,201,199,200,199,197,196,196,196,197,195,190,191,193,186,184,184,184,183,181,179,178,176,175,204,204,204,203,201,201,201,199,198,198,198,187,178,181,180,187,167,162,189,189,187,187,182,181,180,179,178,176,205,205,205,203,202,202,202,200,199,200,198,186,178,173,151,125,133,125,133,181,177,180,188,181,181,179,179,176,206,205,204,204,204,205,204,203,201,188,188,172,136,105,157,109,72,135,120,98,103,97,148,190,180,180,179,176,207,206,205,206,205,205,204,203,198,196,187,175,142,73,118,118,59,112,119,71,76,90,83,186,182,181,180,178,206,207,207,206,207,206,205,205,203,161,122,148,172,99,107,136,126,116,99,63,105,117,72,154,191,181,181,180,207,207,208,207,207,207,207,203,206,171,98,57,178,145,111,138,163,144,105,107,105,127,92,141,194,181,181,180,208,209,208,207,209,208,207,208,195,144,92,35,92,123,77,98,113,141,118,118,108,118,93,113,196,182,183,182,210,211,210,210,209,209,208,209,188,149,125,100,64,74,74,66,55,104,133,116,106,105,104,84,185,186,183,181,211,211,211,209,208,210,209,207,194,176,144,105,70,74,89,80,84,78,91,100,105,133,130,73,157,193,182,181,211,212,211,210,211,211,210,207,198,165,123,93,69,74,83,94,113,98,73,90,166,157,137,85,123,196,181,182,213,213,212,212,213,213,208,209,197,158,121,83,68,74,88,107,111,101,110,127,140,159,154,111,96,194,183,183,214,214,213,214,214,213,209,208,201,174,138,95,73,83,97,115,113,120,154,173,154,157,161,120,76,182,187,183,215,214,215,216,216,215,212,207,196,176,146,104,76,82,101,126,136,144,163,169,164,150,130,108,64,175,189,183,215,215,215,216,216,215,214,206,196,186,158,122,86,79,103,128,150,167,177,172,153,139,115,79,73,188,187,184,214,215,215,215,215,215,214,205,191,191,167,135,105,81,91,144,165,182,180,169,145,126,103,52,124,198,185,185,216,216,216,215,215,217,215,203,187,186,171,142,112,91,93,159,175,181,175,158,133,115,84,63,185,190,187,187,216,216,216,215,214,215,216,200,182,181,179,152,118,106,104,164,176,174,166,146,121,104,58,125,202,187,189,186,217,216,216,216,216,215,218,199,180,183,180,157,130,115,116,165,172,170,152,128,110,85,64,187,194,191,188,187,218,216,215,217,217,216,218,205,186,191,184,161,137,113,114,164,164,158,138,110,97,52,127,205,190,192,190,188,218,216,215,218,217,218,219,210,190,196,181,162,145,117,108,153,153,140,119,100,67,71,196,196,193,193,191,190,218,218,218,220,219,218,219,210,200,195,179,166,149,128,111,133,138,121,104,83,46,165,204,194,193,193,191,190,218,218,219,220,219,217,220,210,201,191,177,162,147,136,120,118,125,108,90,45,119,210,195,196,194,192,192,190,218,219,220,220,220,219,217,205,200,191,180,171,160,147,131,111,111,95,64,76,203,200,199,197,196,193,191,190,219,220,220,220,220,221,206,196,201,192,177,173,159,142,133,110,100,83,50,154,210,197,199,197,195,194,192,191
11,165,165,164,164,164,163,163,163,161,160,160,158,158,157,156,154,152,151,150,149,146,144,143,143,140,139,138,137,168,168,167,168,167,167,167,166,166,142,156,162,160,160,159,157,156,154,152,151,149,147,146,144,143,141,138,121,172,172,171,171,171,172,172,171,173,131,124,167,165,164,162,160,158,157,156,154,152,151,149,146,145,135,89,43,176,176,176,175,176,176,175,175,171,149,100,153,171,168,166,164,162,160,159,157,155,154,152,149,137,75,24,17,180,179,179,180,180,180,179,179,175,160,108,125,174,172,170,168,166,164,163,161,160,157,156,153,97,40,25,24,184,183,183,183,183,183,182,182,179,163,117,105,175,175,174,171,170,168,167,165,163,160,160,144,59,44,36,25,186,187,187,187,186,186,186,185,183,172,142,96,165,180,177,175,174,172,170,169,166,164,164,136,48,43,36,32,189,189,189,189,189,188,189,189,187,186,156,94,149,184,180,178,177,174,173,172,170,167,166,130,47,35,23,27,193,193,193,192,191,191,192,191,189,188,163,97,133,187,183,181,180,178,175,174,172,170,170,118,38,34,19,29,195,195,194,194,194,194,193,194,191,176,163,111,113,186,186,183,181,180,179,177,175,172,173,106,30,30,17,23,196,196,196,196,196,197,196,196,195,177,167,143,101,168,187,187,185,183,182,180,179,176,174,94,28,25,14,20,198,199,199,199,199,200,199,198,199,189,176,174,119,148,132,158,189,186,184,183,181,179,170,70,30,18,19,30,201,200,200,201,201,201,200,199,199,195,176,182,183,169,99,99,188,188,187,186,183,181,172,88,72,75,65,43,202,202,202,203,202,202,202,201,201,198,183,186,162,129,98,79,176,192,189,188,185,181,172,152,144,133,114,74,204,203,203,204,204,204,205,203,192,165,179,190,143,74,82,77,151,195,191,189,185,177,174,166,143,109,83,61,205,206,206,206,206,207,204,196,183,120,108,157,134,74,70,78,118,195,192,190,177,180,178,152,110,94,77,44,207,207,207,208,208,205,197,196,174,124,91,104,133,92,66,75,86,185,196,183,164,171,161,110,93,135,127,45,208,209,210,209,206,197,198,177,139,133,110,83,114,106,64,73,76,134,167,151,156,155,120,111,139,150,141,89,210,210,211,211,200,194,177,137,91,114,115,83,87,108,67,69,81,72,96,130,146,126,111,173,143,113,125,124,212,213,213,212,198,193,175,137,84,85,119,61,55,110,78,64,109,92,92,123,124,98,161,190,167,71,109,126,214,215,214,213,195,192,176,137,93,77,95,37,41,115,80,61,123,107,92,108,90,120,190,189,188,140,128,134,215,215,215,215,202,188,176,158,136,93,59,41,47,118,101,74,90,102,100,89,85,175,195,191,189,185,156,128,216,216,216,217,212,190,182,171,151,117,79,64,82,128,122,91,104,134,104,72,144,198,195,192,189,189,162,121,217,217,218,218,217,198,183,172,162,134,102,78,94,146,136,104,122,115,84,80,184,199,196,193,191,190,165,104,217,218,218,218,219,206,187,174,159,137,108,90,88,133,156,139,123,98,68,114,201,199,196,195,193,192,166,97,217,217,218,218,217,212,184,171,152,137,116,98,90,113,135,129,114,83,69,169,202,198,195,195,193,191,161,128,218,218,218,218,217,218,193,166,154,140,125,109,94,94,111,105,91,65,129,200,199,197,195,194,192,180,145,138,219,219,219,220,218,219,209,167,154,143,132,114,92,80,90,82,64,102,194,201,200,197,195,189,152,138,133,139
17,143,144,145,148,151,153,154,156,157,157,158,160,161,162,164,165,165,165,166,166,168,167,167,167,166,167,168,167,144,145,147,150,152,153,154,157,158,158,160,161,162,164,164,166,166,166,167,167,168,168,169,169,169,170,170,169,145,146,149,152,154,155,156,158,159,160,162,162,163,165,166,166,167,168,168,168,170,169,170,170,170,171,172,171,146,148,151,153,155,156,158,158,160,161,163,163,165,166,167,167,169,170,170,171,173,171,171,172,171,172,172,172,146,148,151,153,155,157,158,159,161,162,164,165,166,167,168,170,171,170,168,172,170,170,173,173,172,173,173,172,147,149,151,153,157,158,159,161,162,162,165,166,167,167,170,170,170,173,154,131,133,127,175,174,174,174,174,174,148,150,152,154,156,159,160,162,163,165,166,167,167,169,171,171,171,179,173,117,88,105,176,174,175,175,175,175,149,151,153,156,158,159,161,163,165,168,168,169,170,171,171,172,173,180,183,133,81,112,181,176,176,175,174,175,150,151,153,157,158,159,162,164,166,167,168,170,170,169,173,174,174,177,190,150,92,133,182,177,176,176,176,177,150,152,155,158,159,161,164,164,165,166,168,168,172,155,140,174,176,179,190,151,105,160,180,179,178,177,176,177,150,153,156,158,160,162,164,165,166,167,168,170,178,163,125,131,174,188,186,146,108,169,180,180,179,178,178,177,151,153,156,158,161,163,165,165,166,171,160,142,173,180,166,148,129,155,176,147,107,168,182,180,179,179,178,178,151,154,157,159,161,164,166,165,171,190,160,117,153,176,191,178,134,95,142,139,108,168,183,181,179,179,180,179,152,155,158,160,162,165,167,165,179,165,168,143,140,129,166,193,161,101,106,122,103,165,183,182,180,180,181,180,153,156,159,161,163,164,167,166,186,157,131,131,101,77,112,205,180,123,90,101,94,165,184,182,181,181,181,180,154,156,158,161,163,165,168,169,184,146,118,130,107,99,110,205,192,145,91,92,88,161,184,183,182,182,181,181,154,156,159,162,164,166,167,174,188,164,146,137,120,135,128,196,195,154,104,89,88,156,186,183,183,183,182,182,154,156,160,163,164,166,167,184,179,148,140,133,130,149,172,195,180,160,113,84,86,158,186,183,184,184,183,183,155,157,160,162,166,168,168,191,170,144,134,134,143,163,213,194,163,149,110,80,79,160,188,185,184,184,184,184,157,158,159,163,166,168,167,198,172,151,136,136,147,198,208,191,159,139,106,79,80,169,187,186,184,184,184,184,156,158,160,164,165,167,171,201,176,159,139,139,169,213,196,183,151,132,99,79,95,186,185,185,184,184,184,184,155,158,162,165,166,167,177,202,177,166,152,141,187,210,191,180,144,122,95,75,132,190,185,185,184,184,183,183,156,158,162,165,169,168,182,207,181,175,166,149,191,199,185,175,145,111,90,82,171,187,185,186,186,186,185,185,156,159,163,166,168,168,179,211,187,180,173,159,178,192,181,169,140,106,82,116,191,186,185,186,187,187,185,185,156,159,163,167,169,169,175,209,193,177,167,165,168,184,176,176,137,101,79,147,190,185,185,186,186,185,185,186,157,160,163,167,169,171,172,204,189,176,162,164,170,174,174,176,138,100,82,165,190,187,187,187,187,186,187,187,157,160,163,165,168,170,174,203,187,176,163,163,171,171,174,167,129,99,101,185,189,188,188,188,188,187,187,187,157,158,161,165,169,169,177,205,196,179,168,170,176,165,170,155,117,91,140,192,188,188,187,187,188,188,188,187
0,190,192,193,193,193,195,195,195,195,195,194,193,194,194,194,195,195,194,195,195,194,195,196,195,194,194,194,193,192,194,195,194,194,196,197,196,197,195,195,196,196,196,195,194,195,198,197,197,197,197,196,196,196,196,196,196,195,195,196,196,196,196,197,197,196,197,196,196,196,196,205,192,158,166,199,190,192,200,201,197,197,195,196,197,195,195,196,198,200,198,197,198,198,198,201,200,170,161,209,187,155,129,130,147,140,176,192,154,185,199,197,197,196,196,197,198,199,199,198,199,199,200,224,210,170,139,175,193,167,151,86,131,136,122,166,127,166,204,198,199,196,197,198,198,198,200,199,205,185,173,223,208,179,153,167,212,174,158,98,152,147,123,137,130,157,207,201,201,196,198,199,200,199,200,204,229,184,145,180,221,187,161,154,225,188,164,105,166,153,116,109,134,130,209,201,201,198,199,199,200,201,198,217,224,193,166,156,227,196,161,140,225,192,162,100,168,151,103,96,143,94,192,204,202,199,200,200,201,200,213,211,212,205,177,139,209,201,156,123,218,192,148,85,134,136,94,87,148,87,139,210,203,200,201,201,201,202,217,186,203,214,183,133,181,206,152,104,185,179,134,79,107,120,86,89,153,98,113,210,205,201,202,203,200,212,210,173,181,208,181,131,149,197,145,94,148,164,125,84,92,109,75,104,162,112,116,211,206,201,203,202,201,213,205,177,167,189,163,120,120,177,135,89,111,156,121,81,92,112,84,151,177,123,120,212,208,199,200,200,205,214,195,166,138,171,156,116,99,166,133,80,88,153,119,76,111,124,101,181,176,125,127,212,207,198,200,200,201,225,210,174,130,139,156,109,87,158,138,79,83,158,123,129,180,156,120,173,178,125,136,211,206,200,201,201,203,224,213,181,141,104,136,128,87,160,154,91,92,159,165,182,180,162,135,131,163,117,142,213,207,202,203,202,205,228,217,192,160,123,112,133,106,157,166,145,176,191,189,180,168,149,132,114,115,98,135,214,207,202,203,203,205,228,223,199,172,155,144,139,155,174,185,200,204,202,193,178,161,139,120,111,93,83,130,216,207,202,202,202,206,225,224,207,188,174,163,152,154,175,190,203,202,202,195,173,156,137,114,102,92,78,153,215,208,202,202,203,206,220,220,213,200,190,172,161,157,169,188,200,201,197,189,168,151,132,111,96,84,115,202,213,211,204,205,206,200,215,220,221,212,196,176,162,160,170,193,202,202,190,182,165,147,127,106,87,104,195,211,211,211,166,170,174,169,199,220,225,215,196,179,165,159,169,196,203,196,184,175,160,139,116,98,86,179,216,212,213,212,99,101,104,95,146,221,218,209,197,183,170,158,168,192,193,181,168,159,146,127,107,92,105,164,168,169,169,170,103,104,103,97,115,217,206,197,197,188,176,157,165,189,186,169,150,137,125,114,98,95,99,99,97,97,117,151,102,104,104,102,107,210,195,191,199,190,174,157,160,187,182,159,129,110,103,96,96,103,101,101,128,174,212,212,102,103,102,104,106,204,193,192,199,186,173,163,157,180,175,147,109,94,90,95,104,112,138,183,218,219,210,195,102,102,102,104,101,205,206,196,196,182,169,165,153,163,163,131,95,88,88,98,122,192,228,237,227,221,213,192,103,102,102,103,98,203,214,204,195,180,170,171,149,153,155,122,90,83,91,146,216,236,236,231,219,225,229,215,104,103,103,103,100,193,212,210,195,179,170,171,147,145,151,118,87,73,148,222,228,230,232,219,213,222,232,233
10,83,93,112,136,146,155,161,163,165,169,170,173,172,174,175,174,173,172,172,169,171,170,164,162,161,160,157,153,84,95,113,138,148,158,162,165,168,171,173,175,175,176,177,177,177,176,174,175,156,155,170,165,164,161,159,156,85,97,115,139,151,159,163,167,170,173,176,177,178,179,179,179,180,180,176,185,138,99,174,168,167,163,161,158,87,98,118,141,153,160,167,169,171,175,178,179,180,182,183,182,182,182,179,187,144,89,168,172,169,168,164,161,90,99,119,142,154,162,169,171,173,176,180,181,182,184,185,185,185,184,182,189,139,84,164,178,172,171,168,165,90,101,121,145,155,165,172,173,175,179,182,183,186,186,187,188,188,187,186,190,139,83,165,181,175,174,171,168,92,102,123,147,157,167,173,175,176,181,185,186,188,188,189,192,189,189,187,196,148,86,164,184,177,177,174,170,94,103,124,147,159,167,173,174,178,184,188,188,189,190,191,193,193,191,190,197,141,80,164,186,179,178,174,171,94,103,125,148,159,168,174,176,179,185,189,189,192,192,193,194,196,195,197,174,102,75,167,188,181,180,177,174,95,104,126,148,160,169,175,177,181,186,189,192,193,194,194,195,191,179,200,154,68,83,177,189,184,181,178,174,96,106,128,148,160,169,176,179,182,187,192,193,194,196,199,201,187,147,135,122,72,67,187,188,185,183,179,177,97,107,129,149,161,171,177,180,183,189,193,194,196,196,179,188,200,179,126,70,75,60,167,193,185,184,180,179,98,109,132,150,162,172,177,181,185,190,194,196,201,192,141,109,108,143,88,58,78,55,123,203,185,186,183,180,99,109,133,150,163,173,178,182,185,190,195,192,183,199,164,119,32,41,40,89,95,51,112,204,186,187,185,181,100,110,133,150,164,173,179,183,187,190,198,182,131,144,186,136,58,36,40,117,143,65,102,203,188,188,186,182,99,110,136,151,164,173,180,184,188,191,199,191,168,120,166,147,87,35,47,118,166,86,88,202,191,189,186,184,100,111,135,152,165,173,181,185,189,194,198,169,177,140,129,145,93,32,63,144,164,98,69,191,194,189,187,184,100,110,135,152,165,174,180,185,189,193,203,168,135,126,83,133,107,57,103,163,144,94,65,189,196,191,189,185,100,110,136,153,165,174,182,185,189,194,200,174,129,112,89,123,154,97,124,168,113,72,79,201,196,193,189,186,100,112,137,153,165,174,182,185,189,195,196,198,165,114,106,108,151,97,126,153,104,55,97,207,193,192,190,187,100,112,138,152,165,175,184,186,190,195,194,200,180,143,114,98,151,153,149,131,101,46,117,212,194,193,192,189,97,111,137,151,164,174,181,183,188,194,195,189,179,156,133,116,167,189,151,117,93,44,139,210,194,192,189,187,96,109,135,148,162,173,180,182,187,192,198,179,169,159,146,129,159,178,140,106,82,40,163,204,193,190,187,186,95,108,134,147,161,172,179,182,188,192,197,194,169,164,152,129,146,162,127,93,61,53,193,195,193,191,187,185,91,104,131,143,158,169,177,181,186,190,194,199,181,160,144,123,123,137,110,83,42,106,209,193,193,190,188,186,106,118,141,154,166,175,182,186,190,194,198,200,201,168,137,120,114,126,115,82,43,161,202,190,189,185,183,181,136,140,145,144,138,137,137,135,135,134,134,128,143,178,144,141,130,126,120,76,52,101,107,103,100,100,100,90,98,96,96,96,96,96,98,98,99,98,98,95,108,184,164,156,134,125,104,71,51,83,85,83,82,74,38,16
22,66,68,73,86,98,106,108,111,117,123,126,129,131,133,136,137,138,139,139,138,138,137,137,135,134,134,132,131,66,68,74,87,99,106,109,112,119,123,127,133,133,135,138,138,140,134,136,141,139,139,138,139,137,135,133,133,67,69,75,89,100,108,111,115,120,131,135,108,136,137,139,139,153,117,95,146,140,139,141,127,135,139,135,134,67,70,77,91,101,110,113,118,118,146,150,80,132,140,140,141,161,116,81,147,142,144,148,91,103,146,137,136,68,70,77,92,102,110,114,119,120,144,158,85,123,145,140,145,158,108,90,152,141,152,146,84,108,147,139,138,68,70,78,94,104,111,115,120,123,139,163,93,112,148,142,147,152,103,102,153,144,155,131,78,131,145,140,139,67,69,79,94,104,113,116,121,125,136,169,116,100,149,144,145,137,91,110,153,155,162,112,87,149,142,142,140,68,71,80,94,105,114,117,122,127,133,167,124,91,144,147,147,139,83,116,154,160,150,96,114,151,143,144,142,68,71,81,95,106,115,118,122,129,133,163,132,83,132,151,147,142,84,127,163,160,121,80,138,149,146,145,143,68,70,81,97,107,116,119,123,131,133,157,154,100,116,155,137,126,71,147,174,156,104,88,154,147,147,146,145,69,71,81,97,108,118,121,124,131,135,148,160,104,93,145,118,116,92,162,163,144,83,119,157,149,148,147,146,68,71,82,98,110,118,121,126,133,139,143,157,98,65,110,122,139,159,164,148,112,76,148,153,150,150,148,146,68,71,83,98,111,118,121,127,134,139,139,155,115,86,127,132,139,154,150,137,79,109,162,150,151,151,150,148,68,71,85,100,111,119,122,128,133,150,140,110,115,96,118,127,145,140,148,116,70,144,160,153,152,152,152,150,68,72,85,100,112,120,123,129,134,162,135,128,115,122,95,80,120,131,123,85,72,152,158,155,155,153,152,151,66,71,85,100,113,120,123,130,135,167,148,138,139,129,97,68,62,97,96,72,78,161,156,156,156,155,153,152,67,71,86,101,114,121,124,129,140,173,155,118,101,114,117,106,78,56,59,61,79,163,157,157,157,157,154,152,68,72,87,102,115,122,125,132,141,176,161,107,61,68,117,120,104,80,67,53,60,157,162,158,157,156,155,154,67,71,87,102,114,121,124,132,137,174,169,127,114,58,151,138,115,96,81,45,47,152,163,158,157,157,156,155,65,69,86,102,114,122,124,131,135,171,176,136,118,94,168,154,124,101,84,42,57,162,160,158,157,157,157,157,64,68,85,102,115,122,124,133,134,167,178,137,119,144,161,138,124,92,76,39,77,171,158,159,157,157,157,156,63,67,85,102,115,122,124,132,136,159,174,155,126,161,160,123,128,106,71,35,94,171,158,160,158,157,157,155,58,62,82,100,114,122,125,133,139,152,168,157,127,154,154,127,120,109,68,32,125,173,162,163,161,159,159,158,81,84,91,100,109,115,118,123,131,128,160,158,128,125,140,115,102,86,50,43,139,150,146,145,145,145,144,144,88,88,85,80,84,85,85,86,91,60,84,158,111,90,103,92,75,59,44,58,82,79,77,78,78,77,79,77,87,87,88,88,88,87,88,89,89,54,26,81,94,90,97,104,86,63,38,58,87,80,80,80,80,80,63,42,88,89,88,89,89,89,89,92,72,37,42,28,62,97,99,103,79,44,8,40,90,81,81,82,66,45,27,21,88,88,88,88,88,88,90,88,49,43,42,39,30,46,67,58,29,9,0,56,89,80,82,66,34,30,22,14
23,120,123,126,129,133,135,137,140,141,143,144,147,147,148,148,150,150,151,154,154,155,157,157,157,157,158,158,159,120,124,128,131,134,136,138,140,142,144,145,146,148,149,151,152,153,153,156,159,157,158,158,158,159,158,158,160,122,125,128,131,135,137,138,141,143,144,145,147,150,150,149,152,146,150,154,134,153,160,159,160,160,160,162,160,123,125,129,133,136,138,139,142,144,144,147,149,149,149,157,157,143,134,113,77,154,162,160,163,161,162,163,162,124,128,130,133,137,138,140,143,145,147,148,147,150,158,163,143,96,95,87,130,164,160,161,163,162,163,163,162,124,128,131,134,137,138,141,144,144,148,147,155,168,149,138,89,95,138,159,166,161,162,164,163,164,164,164,164,125,129,132,134,138,139,142,145,146,149,144,169,173,118,80,114,163,110,139,165,160,164,165,164,165,165,165,165,125,128,133,135,138,141,142,144,146,150,146,171,176,127,138,185,152,107,108,172,164,164,165,165,165,166,167,167,125,130,133,136,139,140,142,145,147,150,149,176,171,169,183,160,136,144,121,138,150,165,165,166,166,167,167,167,125,130,133,137,139,141,143,147,149,150,152,174,166,173,163,161,163,153,119,72,83,151,169,167,168,168,168,168,127,131,134,138,139,141,144,148,149,149,155,160,156,159,162,157,150,143,102,60,51,110,179,167,168,169,168,168,127,131,135,138,140,142,143,147,148,159,163,151,147,157,155,150,147,129,91,61,56,68,125,173,168,168,168,167,126,131,135,138,141,142,145,147,151,186,170,153,159,147,140,131,110,112,94,63,50,71,69,133,176,168,169,168,127,131,136,139,141,143,145,149,149,180,180,167,161,133,104,65,66,126,93,60,42,72,71,126,178,168,170,169,127,131,136,138,141,144,145,149,150,173,177,162,147,133,105,53,70,128,88,57,56,78,83,164,172,170,170,171,128,132,136,140,142,144,145,149,149,174,178,154,169,130,66,44,94,84,49,49,80,82,116,177,170,171,171,172,127,132,137,141,142,143,146,149,149,173,173,164,161,119,69,32,49,28,40,59,87,86,159,172,170,171,171,171,129,132,137,139,142,144,146,150,150,173,170,170,158,118,83,24,24,46,71,81,78,112,177,169,171,171,171,171,129,134,137,139,142,144,147,150,151,175,170,172,156,116,88,41,42,74,89,94,77,149,177,171,172,172,171,171,130,133,137,140,143,145,148,150,153,175,172,170,151,116,90,48,56,84,93,85,104,178,170,173,173,172,172,172,130,134,138,142,143,145,147,150,154,176,170,162,144,113,89,54,62,89,94,77,134,180,170,173,173,173,173,173,130,133,138,142,143,146,149,150,158,176,160,153,139,111,89,68,64,90,89,78,162,173,172,173,173,174,173,174,130,134,138,142,143,145,149,150,158,174,157,150,134,113,96,75,68,88,78,106,179,171,173,173,174,175,175,175,130,135,138,142,144,145,150,149,162,174,158,153,135,117,101,80,71,79,77,158,175,173,174,174,175,176,176,175,130,134,139,143,143,145,151,148,167,175,158,150,136,122,99,79,74,67,130,177,171,174,174,174,175,176,176,176,130,135,139,143,145,148,149,151,174,168,156,144,133,118,87,80,68,123,177,171,173,173,174,174,176,177,177,176,131,135,139,143,145,150,147,164,176,163,153,135,118,103,87,71,104,178,171,173,173,173,174,174,176,177,177,176,131,136,140,143,144,148,146,172,169,162,148,130,111,102,86,70,156,176,172,174,174,174,176,175,176,177,177,177
13,194,195,196,196,196,197,197,197,197,196,197,198,199,198,199,200,198,198,198,199,197,198,197,197,197,194,193,195,195,196,196,196,197,197,198,197,196,199,200,198,196,197,194,194,204,203,201,199,197,197,199,198,197,196,195,195,196,197,197,197,198,198,198,197,198,199,197,199,212,215,195,157,150,184,182,199,200,200,201,200,198,199,196,196,196,197,198,197,198,198,198,198,199,198,197,221,233,231,215,165,116,91,124,130,202,200,200,199,198,199,196,197,197,198,198,198,198,198,200,199,197,199,199,188,191,219,221,177,125,76,106,81,166,209,197,201,199,200,199,199,197,197,198,199,199,199,199,200,200,165,185,185,160,182,211,191,139,82,121,128,145,212,199,201,201,201,200,200,197,198,200,200,200,201,196,218,218,156,158,187,191,199,191,196,168,84,121,119,136,213,201,201,202,202,200,200,198,198,199,201,200,199,198,235,220,182,156,123,165,193,185,153,115,72,64,124,189,206,204,202,202,202,202,201,197,199,199,200,198,211,168,148,199,209,185,117,57,141,189,160,133,112,85,107,214,203,204,203,203,203,203,202,197,198,199,192,213,221,149,97,122,220,199,153,57,48,108,141,170,183,156,92,142,218,202,204,203,202,202,200,197,198,196,214,225,197,142,120,77,191,212,157,111,47,47,71,196,208,193,153,90,173,213,201,202,202,202,200,198,196,208,226,188,184,157,145,72,137,222,169,150,73,57,50,142,223,208,171,123,98,200,204,201,202,201,201,198,200,216,190,149,177,171,152,96,60,198,201,172,118,45,84,161,210,210,172,146,96,158,213,201,202,202,203,197,205,222,202,161,163,186,150,138,71,83,213,189,159,97,120,225,203,190,161,146,98,153,216,202,204,204,204,196,205,215,199,177,146,166,175,171,129,38,107,204,192,178,141,212,196,172,135,116,85,172,213,204,203,204,203,199,204,218,215,195,170,138,160,179,155,131,50,164,193,177,194,201,181,161,129,93,83,196,208,204,204,204,202,190,191,219,226,211,186,169,154,158,158,175,106,193,215,208,211,193,173,150,122,86,108,215,209,209,208,207,205,111,107,208,229,218,197,179,175,177,157,127,150,215,226,226,201,187,170,142,111,82,127,195,189,193,193,196,197,94,74,173,233,219,207,191,179,185,185,153,146,202,225,221,201,172,155,134,101,89,94,100,104,103,104,104,105,100,88,127,226,214,213,207,193,185,183,172,134,164,219,210,194,170,139,117,96,87,96,89,82,83,94,126,154,97,97,92,196,207,207,210,207,194,183,169,152,135,196,198,179,159,130,107,93,84,98,117,139,170,194,207,198,96,101,89,133,212,200,210,214,198,184,167,153,138,159,183,162,136,121,105,84,90,164,204,212,208,200,204,197,97,97,99,86,171,209,206,206,189,176,162,147,136,136,155,155,138,118,100,70,150,238,213,199,191,176,177,188,98,98,99,91,103,206,202,186,172,163,154,144,123,117,140,159,146,108,87,75,208,221,206,192,167,146,141,158,97,97,95,99,83,174,212,175,155,156,151,141,121,103,143,171,133,97,69,126,239,212,212,193,144,115,137,148,98,98,94,100,86,139,216,182,171,171,155,136,121,103,148,169,110,91,65,193,229,207,224,205,150,100,121,148,97,99,94,100,88,122,218,194,185,185,164,143,132,105,145,157,105,80,87,226,206,200,225,225,171,106,101,139,98,99,94,98,88,120,210,202,197,190,167,154,143,99,138,150,106,68,118,230,203,197,214,232,191,117,90,116
7,165,168,171,173,176,177,178,180,180,181,181,182,183,184,185,183,182,182,182,182,182,182,180,178,177,175,172,172,169,171,174,176,178,179,181,184,184,183,184,185,185,185,185,186,185,184,185,184,185,185,182,182,179,177,176,174,171,175,177,177,180,181,184,185,186,186,186,186,186,185,186,186,187,187,186,186,186,186,185,184,183,180,178,176,172,175,178,179,182,185,184,186,188,188,188,189,189,188,189,190,189,190,190,189,188,188,187,186,185,183,181,180,175,176,178,181,183,186,187,188,190,189,189,191,191,193,193,194,194,192,191,192,191,191,190,189,186,185,183,183,176,178,182,184,185,188,190,191,191,193,193,193,193,195,194,194,195,193,194,193,194,193,191,189,188,186,186,184,177,182,185,187,189,191,191,192,194,194,195,196,196,196,195,194,195,196,196,196,196,194,193,192,191,190,189,187,180,184,187,189,191,192,193,195,196,196,197,197,196,198,199,198,198,199,199,198,197,196,195,194,193,193,191,188,184,186,188,190,193,194,196,198,199,198,201,202,199,199,201,201,201,200,201,200,199,198,197,196,194,193,193,191,183,186,189,193,195,197,197,197,202,203,191,197,201,201,200,202,202,204,204,202,200,200,196,196,199,195,195,193,185,189,192,193,194,197,202,209,217,211,169,150,176,192,190,189,192,197,190,195,187,195,180,224,204,189,198,194,186,190,191,197,204,212,214,215,217,215,197,139,140,166,176,176,173,164,167,171,169,176,162,172,155,194,200,197,187,197,208,216,217,215,211,206,197,196,180,137,125,139,160,172,173,175,168,158,163,164,150,158,153,186,200,194,213,219,217,217,210,204,196,183,179,195,197,149,118,113,118,132,146,153,141,149,156,158,153,170,162,170,166,179,226,216,211,203,193,189,184,185,190,201,197,152,124,131,130,122,110,93,133,143,140,140,135,138,148,148,160,198,222,212,201,188,179,174,176,176,186,194,170,135,114,120,139,146,135,111,148,221,209,204,204,204,202,205,209,207,216,209,200,187,176,176,177,170,171,187,184,140,101,100,118,123,127,113,129,220,211,213,212,210,210,209,207,206,212,208,203,192,184,181,183,182,179,194,196,151,124,133,132,122,119,88,193,222,213,215,212,212,211,210,210,207,205,199,197,195,192,187,183,180,180,186,185,154,136,146,142,135,115,145,227,214,215,213,213,213,213,212,211,209,189,187,190,193,194,189,181,176,176,167,145,132,110,106,116,125,98,203,217,216,217,214,214,214,212,210,210,215,97,113,147,183,191,179,167,153,139,127,122,119,55,49,78,100,131,223,217,218,217,216,213,213,215,220,216,144,10,11,28,67,121,140,126,136,147,177,205,220,118,74,109,137,206,221,219,219,219,217,216,223,202,178,140,77,9,4,0,0,0,38,187,213,222,224,220,224,209,180,208,223,223,220,221,220,219,223,222,170,103,83,65,55,1,0,0,0,0,64,238,213,217,217,218,220,222,226,222,219,220,220,219,219,223,200,112,66,76,73,61,50,0,0,0,0,0,52,236,214,219,220,221,221,221,219,221,222,221,220,218,225,227,119,56,32,50,55,46,45,0,0,0,0,0,44,231,207,215,217,219,220,222,222,223,224,226,225,229,207,113,88,67,27,20,44,39,34,2,2,0,0,0,9,123,114,118,123,125,129,133,136,137,140,142,140,153,122,40,74,64,17,10,24,29,26,13,7,0,0,0,1,89,82,81,83,84,85,85,86,89,87,86,91,110,90,28,64,57,12,5,16,20,22
12,165,171,175,181,184,187,190,193,197,198,199,199,201,204,202,199,199,203,206,197,199,197,196,198,197,196,194,192,167,172,177,181,184,189,193,196,197,199,201,202,201,192,189,208,203,167,170,207,201,202,202,198,199,198,197,195,168,172,177,182,186,190,194,197,198,201,205,200,218,198,153,168,221,192,126,155,188,150,178,206,200,200,199,197,170,175,179,185,188,192,196,198,201,204,204,204,244,241,206,139,149,236,190,100,117,155,107,192,206,202,201,198,173,177,181,185,190,195,197,200,202,205,200,232,222,226,224,160,81,179,194,112,59,138,112,113,213,202,202,202,175,179,183,187,192,196,199,203,206,205,201,246,182,206,224,144,76,162,175,107,61,106,117,66,199,207,203,203,178,181,186,190,195,199,202,207,205,208,213,155,123,211,195,125,66,172,164,94,67,118,100,73,206,205,206,204,179,184,188,193,197,201,206,204,217,244,216,127,75,139,183,151,53,153,205,119,70,152,108,95,218,204,205,205,182,187,191,196,199,204,203,224,244,233,220,152,76,82,197,145,38,162,219,108,81,201,110,137,222,206,207,206,184,189,194,198,204,204,221,245,190,193,233,160,77,28,140,124,7,78,199,93,66,169,111,195,217,211,210,209,187,192,197,201,207,207,240,234,193,165,210,147,82,25,45,48,43,82,100,119,126,137,73,175,224,210,211,211,190,195,200,205,206,218,227,191,158,113,185,148,86,32,43,50,160,222,171,167,141,126,98,109,226,212,212,212,191,198,202,208,209,213,237,201,168,96,154,149,83,39,57,119,195,211,196,164,127,90,111,83,205,220,213,213,194,201,205,210,210,216,240,207,174,118,121,152,116,48,93,180,208,202,193,167,125,90,85,83,215,220,216,215,198,203,207,213,213,229,245,217,187,149,97,139,139,64,179,219,214,205,201,147,116,89,48,134,234,215,214,213,203,207,212,216,215,238,247,226,198,159,121,110,107,145,225,222,223,220,185,124,107,75,57,209,223,223,228,227,205,210,214,218,218,242,243,231,207,168,153,131,127,188,207,217,229,213,158,113,102,47,124,251,227,206,165,123,208,213,216,220,221,235,238,238,213,180,172,148,140,181,188,220,226,193,137,105,88,49,173,155,96,51,28,24,213,218,220,222,225,225,242,239,217,192,186,161,144,191,183,224,216,166,120,93,74,46,42,19,15,17,20,17,215,221,223,226,231,223,239,231,215,198,193,171,149,190,204,198,187,140,102,83,62,20,15,16,18,14,20,9,219,223,227,230,235,226,231,233,216,199,187,173,161,175,201,174,151,120,92,79,31,0,22,19,3,6,23,15,220,224,228,231,236,225,224,239,216,197,182,167,150,157,183,161,133,108,83,65,16,0,9,28,7,0,11,22,221,225,228,231,239,223,228,235,207,187,179,164,142,156,172,150,110,96,76,38,32,0,0,17,24,0,0,16,224,228,232,236,241,225,231,229,185,171,174,155,139,159,156,133,92,82,25,7,33,12,0,0,20,13,0,1,226,230,234,238,243,222,232,239,184,182,184,166,153,161,139,114,86,55,1,0,20,28,0,0,6,20,3,0,227,232,236,237,248,199,226,242,195,205,201,173,151,155,128,107,77,28,14,0,3,25,0,0,0,15,16,0,234,238,242,241,255,130,198,249,218,233,207,164,153,153,121,99,64,15,11,0,0,14,11,0,0,5,17,5,196,202,209,213,230,85,110,240,219,226,189,149,159,151,115,95,45,24,6,0,0,6,15,0,0,0,14,13
5,155,156,155,156,158,159,159,159,160,160,161,160,159,161,164,161,161,161,159,159,158,157,156,155,156,154,153,152,157,158,158,159,161,162,162,162,162,163,164,163,164,162,150,163,163,162,162,162,161,160,158,157,157,156,156,155,162,162,162,163,164,165,165,165,166,167,167,170,167,174,118,149,170,165,166,165,163,162,162,161,160,159,158,156,164,165,165,166,167,167,167,168,170,170,168,145,159,187,122,130,177,168,168,167,167,166,166,164,163,162,161,160,167,168,169,169,170,171,171,172,173,171,179,133,131,193,121,116,182,170,171,170,169,168,168,167,167,165,164,162,170,170,172,171,173,175,175,175,176,173,187,146,119,192,117,115,185,173,174,173,172,171,170,170,169,168,167,165,172,172,174,175,176,176,173,176,178,175,191,150,110,191,128,121,187,175,177,177,175,174,173,172,172,171,169,168,174,175,176,178,177,181,150,148,186,176,193,157,110,187,122,127,189,178,180,180,183,177,175,175,175,172,172,171,177,179,179,180,179,187,157,120,186,178,195,160,103,182,112,132,191,180,181,173,153,175,179,177,175,175,175,174,179,181,181,182,181,190,173,103,184,182,192,156,91,183,130,134,192,180,185,178,132,142,189,179,178,178,177,176,180,182,182,183,184,188,174,102,182,186,187,169,95,166,142,134,192,177,170,159,177,145,163,183,181,180,179,177,182,183,184,185,187,188,191,111,166,190,183,179,96,137,146,141,188,183,148,89,162,157,126,184,184,182,180,180,185,185,186,187,187,189,196,139,139,194,185,182,99,127,146,142,182,181,141,135,178,132,147,191,184,183,182,180,186,187,188,188,189,188,184,188,153,162,179,169,125,139,135,124,161,161,136,185,173,113,182,188,186,185,183,182,187,189,189,190,190,192,179,194,181,149,151,150,131,134,128,125,163,156,146,192,148,108,194,187,188,186,186,186,189,191,191,192,191,194,189,190,200,168,144,142,122,126,126,127,159,153,160,199,122,112,201,189,189,189,188,187,190,191,192,193,194,194,195,192,213,186,133,129,114,112,123,131,156,147,162,202,120,132,203,189,190,190,189,188,191,192,193,193,193,194,194,195,214,192,137,108,110,109,120,145,162,138,157,201,126,143,203,190,192,192,191,188,192,192,194,194,195,195,195,195,212,189,144,108,110,109,137,153,173,175,151,189,129,147,203,191,193,193,192,189,193,194,194,196,198,197,197,194,209,185,146,111,104,119,149,164,185,189,159,158,111,145,206,193,193,193,192,191,193,194,195,197,198,198,199,192,208,188,153,112,104,127,162,181,183,183,161,122,83,136,208,195,195,194,193,192,194,196,197,198,198,199,201,193,204,189,153,116,107,126,172,191,188,172,139,98,72,166,204,196,198,196,194,193,195,198,198,198,199,200,201,195,195,188,151,119,113,124,182,195,177,154,124,77,125,207,197,199,199,197,194,194,197,198,198,199,199,201,203,191,184,187,151,128,119,123,178,180,163,141,103,90,196,204,199,199,199,198,196,194,196,197,198,199,199,201,204,193,180,179,145,138,119,124,165,168,155,126,74,150,212,201,201,200,199,199,197,194,195,196,197,198,199,199,201,195,177,171,146,139,114,121,155,157,138,86,103,207,203,203,200,201,200,199,198,197,195,196,198,199,199,200,203,193,182,174,148,137,119,108,140,128,96,85,188,206,201,202,200,200,199,199,198,196,196,198,199,199,199,200,204,190,186,167,132,129,118,102,122,99,75,164,212,201,204,202,201,202,199,198,197,196
1,110,114,115,117,121,125,127,127,128,129,131,132,133,135,135,135,135,135,140,137,138,138,138,138,137,136,137,138,114,116,119,121,124,127,129,131,131,132,134,134,135,134,138,138,144,140,120,141,140,139,139,138,137,137,138,139,117,120,122,124,127,129,132,134,135,136,138,138,138,149,123,129,160,144,87,141,144,143,141,141,140,140,139,140,120,123,125,128,131,133,135,138,139,140,141,140,144,166,103,117,164,131,88,142,128,136,146,144,144,144,143,143,123,126,128,132,134,136,139,141,142,143,144,143,154,162,96,125,164,120,92,152,122,102,152,146,147,146,145,144,126,129,132,135,138,140,143,145,145,145,152,135,143,157,95,131,165,113,99,162,124,93,153,149,149,149,148,147,129,133,135,138,141,144,147,149,150,150,168,124,115,143,101,136,170,119,111,166,118,93,155,152,152,151,151,150,133,136,138,141,145,148,151,153,153,155,173,111,115,133,109,136,161,115,114,170,119,94,158,156,155,154,154,153,136,139,141,144,148,150,153,155,156,160,164,102,118,120,101,120,156,108,122,174,123,99,163,159,158,157,157,155,138,141,144,147,151,153,155,159,159,162,169,110,120,125,101,121,169,112,136,169,119,104,167,163,162,160,159,158,140,143,147,149,154,156,158,162,161,166,168,108,113,139,111,121,169,111,145,173,119,109,170,164,165,164,163,162,143,146,149,153,156,158,161,164,163,171,176,121,105,130,99,114,150,99,156,175,123,118,174,165,166,167,166,165,145,149,151,155,159,161,162,166,165,172,183,125,95,116,99,119,133,116,162,162,115,127,177,168,170,169,167,167,148,151,153,156,161,163,165,168,167,174,180,129,120,150,140,149,153,142,132,152,110,135,179,170,172,171,170,170,149,152,155,159,162,165,168,171,169,180,188,153,128,128,162,174,181,150,101,125,100,142,180,174,174,174,172,171,151,153,157,160,163,166,169,173,171,187,179,139,117,90,112,135,151,168,133,84,81,156,182,175,176,176,174,173,152,155,159,163,166,167,171,175,172,191,174,137,107,98,102,113,150,188,167,105,75,171,181,178,177,177,176,175,154,157,161,165,167,170,173,176,175,195,180,136,113,115,119,148,163,182,186,134,84,169,185,180,180,178,178,179,156,159,162,165,168,172,175,176,178,196,177,134,112,121,125,174,184,169,169,137,88,151,190,181,181,180,179,179,158,161,164,167,171,173,176,177,180,195,176,141,119,130,142,192,190,167,139,115,82,151,191,182,182,182,181,180,159,162,166,169,173,175,177,179,180,192,178,144,130,125,154,198,186,154,128,98,79,166,190,183,184,184,183,182,160,164,166,169,174,175,178,180,181,188,175,145,136,124,154,196,174,143,119,87,103,190,186,186,186,184,184,185,161,164,167,170,173,175,179,183,182,184,174,151,146,128,146,186,160,132,106,78,138,197,185,187,187,186,186,186,163,165,169,172,175,178,180,182,183,182,172,155,151,131,143,180,151,123,96,81,169,193,188,189,188,188,187,187,164,166,170,172,176,178,181,183,185,185,177,156,151,125,137,168,140,116,86,98,191,190,190,190,190,190,189,189,163,166,170,174,177,178,181,184,183,187,181,158,145,114,130,145,120,107,78,133,200,191,192,191,190,190,190,189,162,166,170,173,176,178,180,184,179,190,183,172,144,118,132,133,114,95,93,182,194,192,192,191,191,191,190,190,163,166,169,172,176,180,181,181,179,191,184,175,150,127,133,124,109,80,146,198,191,192,192,191,192,191,190,190
15,109,119,130,139,146,147,152,160,167,173,178,181,186,189,192,194,199,202,204,206,208,211,211,212,212,213,215,215,109,121,131,141,146,148,153,163,169,174,179,183,188,192,194,197,201,203,206,208,210,213,213,213,214,217,217,216,112,124,133,142,147,149,155,164,169,175,180,186,189,194,196,200,203,206,209,210,212,213,214,216,218,219,219,219,114,125,135,144,150,152,158,166,172,178,183,186,190,195,198,201,204,208,211,212,213,215,217,220,220,219,220,222,114,127,137,147,151,154,161,167,175,181,184,188,194,198,201,204,206,209,212,213,215,218,220,221,222,222,223,224,115,127,141,144,148,153,161,169,178,183,187,193,197,199,204,207,208,210,213,216,219,219,222,224,224,225,225,226,117,130,136,173,189,166,167,170,179,183,190,194,199,200,204,210,211,213,216,219,220,223,223,224,225,226,227,228,119,132,133,235,226,189,187,178,184,191,191,190,195,203,209,212,212,216,219,220,222,226,226,227,229,229,229,229,120,134,140,192,206,185,184,173,195,198,193,187,171,177,195,201,208,218,221,224,227,228,228,229,231,231,232,232,122,134,146,154,165,160,153,151,176,182,185,186,177,187,183,185,192,204,212,200,206,222,234,228,232,234,234,235,125,135,148,158,160,160,166,168,174,173,166,165,175,189,184,176,171,185,209,199,186,171,191,240,235,232,236,236,126,137,151,158,160,165,175,182,189,192,186,179,178,174,167,158,154,182,198,215,190,168,152,174,240,238,234,238,126,140,152,160,163,166,176,183,188,195,201,205,209,205,194,174,185,205,198,202,195,179,183,159,160,235,242,239,128,141,153,162,165,168,177,185,190,196,201,203,209,216,219,252,240,214,165,172,218,175,194,194,150,147,239,244,129,141,155,164,166,170,178,186,192,198,200,215,217,183,185,224,232,194,126,135,226,170,198,197,188,135,147,244,130,142,156,165,167,171,181,187,194,201,199,238,215,166,168,232,246,194,148,154,193,188,203,193,179,155,117,140,133,145,156,166,168,171,181,188,195,202,204,226,186,162,177,242,248,189,153,162,158,169,187,170,154,154,138,117,135,148,158,168,168,172,181,190,197,203,208,212,209,168,184,237,225,176,158,170,170,167,180,160,130,143,143,139,134,148,160,168,169,173,182,192,197,203,210,207,255,255,164,137,142,142,169,189,183,186,190,167,141,145,143,139,135,148,162,169,172,175,185,192,198,204,213,208,254,255,199,95,45,29,48,92,166,183,183,165,161,157,137,126,137,149,162,171,173,177,186,193,199,206,213,209,248,255,198,109,73,53,21,0,76,165,161,151,133,109,88,69,138,150,163,170,173,178,187,193,200,207,214,212,241,255,173,110,132,122,87,51,31,87,99,81,59,48,42,30,139,153,163,169,172,180,187,194,201,207,215,216,232,255,181,140,180,156,149,140,82,55,50,49,45,43,43,36,137,152,162,168,170,178,184,193,199,205,213,217,224,255,210,133,195,164,156,114,67,58,56,54,49,45,43,40,137,150,162,167,169,177,186,195,201,208,212,217,215,255,235,120,229,233,170,86,56,53,54,54,50,46,44,41,137,152,164,168,172,179,188,196,203,210,214,221,215,255,216,111,235,253,183,74,52,52,53,54,50,47,48,49,138,152,165,170,173,179,189,197,204,211,214,221,223,240,160,187,244,251,200,76,66,60,56,50,49,48,50,48,138,154,166,171,175,180,189,196,205,211,215,220,226,228,223,240,239,244,248,121,75,67,58,50,50,50,49,44
4,124,127,130,133,135,138,140,141,143,145,146,147,148,149,150,151,151,150,149,150,149,149,148,148,148,147,147,146,125,129,131,134,136,138,141,142,144,146,148,149,149,151,151,151,152,155,153,150,151,151,150,149,148,148,148,147,126,130,133,135,138,140,142,143,146,147,148,148,148,151,154,158,139,120,145,155,153,152,151,151,150,150,149,148,127,130,133,136,138,140,142,145,148,151,149,156,144,118,145,179,145,100,97,164,154,153,153,152,152,152,151,149,127,131,135,137,141,142,144,146,147,145,158,186,155,118,107,180,146,108,83,143,141,154,155,153,152,152,152,150,129,132,136,139,141,142,144,145,155,154,145,175,166,129,94,167,151,105,55,92,113,104,155,155,154,153,153,152,130,133,136,140,143,144,144,152,180,178,131,118,176,143,92,153,154,101,49,93,123,79,104,163,153,155,154,153,129,134,137,139,143,147,144,162,177,169,121,99,167,130,81,126,135,86,49,100,123,86,68,160,156,156,154,154,130,134,137,142,143,145,145,161,162,161,120,90,149,118,76,94,116,81,60,127,129,83,66,160,157,155,154,155,132,135,138,142,144,147,145,162,157,144,128,98,133,114,78,62,99,61,85,155,118,68,72,163,158,155,155,156,132,136,139,142,145,149,147,163,173,145,133,114,111,144,103,81,97,68,89,125,96,50,74,166,158,159,157,156,133,137,140,143,145,149,147,166,182,160,126,79,85,142,118,137,116,120,125,136,126,74,79,169,157,160,158,157,133,137,141,144,145,149,147,174,178,145,115,86,69,71,86,136,118,139,152,160,145,86,88,169,158,161,159,158,133,137,141,144,147,149,148,179,166,126,101,82,68,64,63,96,121,130,140,143,126,89,75,161,161,161,159,159,134,138,142,145,148,150,151,183,169,138,112,83,72,73,84,87,96,107,110,116,119,103,62,139,167,160,159,159,134,138,142,146,147,149,155,184,167,135,102,85,78,73,84,107,95,122,132,130,132,113,69,103,173,159,161,160,135,139,143,147,149,150,158,184,164,131,100,83,81,74,90,111,117,161,159,164,156,122,84,64,160,164,163,162,136,141,143,147,151,150,160,182,162,131,107,93,86,83,92,107,148,170,173,167,166,132,92,53,134,171,162,163,136,141,143,146,150,150,161,176,158,134,112,102,93,89,88,133,174,173,175,152,148,120,88,55,138,170,162,163,135,139,143,144,148,150,158,173,155,138,114,97,86,93,110,170,180,176,160,142,123,101,68,79,166,163,162,163,135,139,143,144,149,150,156,175,164,133,103,97,92,105,137,183,178,166,142,125,102,80,53,133,170,162,162,162,136,140,143,146,149,153,153,172,166,140,125,124,100,110,154,180,170,153,130,109,89,57,86,171,163,164,163,163,136,140,143,147,150,153,153,169,168,147,128,129,104,100,167,170,156,135,115,94,73,51,144,170,164,165,163,163,136,140,143,146,149,154,150,170,173,151,134,129,102,105,163,157,137,117,95,79,50,91,174,165,165,165,164,164,136,141,145,146,149,153,148,182,178,155,133,119,89,107,150,141,117,97,77,62,50,152,169,165,164,165,164,163,136,141,144,146,152,146,165,186,170,145,125,98,82,114,131,107,81,72,62,43,118,172,164,165,165,164,164,163,134,138,142,145,147,146,183,180,168,152,127,101,99,117,107,77,67,68,51,100,170,164,165,165,164,165,164,165,102,105,104,105,97,140,187,172,168,151,122,110,107,107,94,71,72,71,57,98,107,106,107,106,107,108,108,110
24,168,172,173,174,175,175,177,177,177,177,178,177,176,175,175,174,171,169,167,167,166,163,161,160,155,154,153,151,170,174,176,177,178,179,178,179,180,181,181,178,178,176,175,176,174,173,171,169,168,165,162,162,159,156,154,154,172,175,178,179,180,181,181,182,183,183,183,182,180,178,178,177,176,175,174,171,168,167,166,164,161,159,158,156,175,177,180,186,182,184,184,185,185,186,186,184,183,182,182,180,178,176,174,173,170,170,170,167,164,161,161,159,174,184,174,147,187,186,187,188,187,188,188,187,187,185,185,184,181,180,178,177,176,173,170,168,168,166,162,160,175,191,159,85,145,196,188,192,191,190,191,190,190,188,187,187,184,182,180,179,178,176,173,171,170,168,165,163,179,186,150,99,83,188,191,192,193,192,191,192,191,190,189,187,187,185,182,180,179,178,176,173,171,169,167,165,180,188,178,122,65,145,203,192,195,194,197,199,192,192,192,188,187,190,190,183,183,180,178,175,172,171,171,173,182,186,192,151,79,89,200,195,196,197,177,177,200,196,194,197,194,175,170,191,185,182,180,178,177,168,141,124,185,187,192,181,125,70,148,208,197,182,132,92,166,181,128,127,174,141,90,142,194,182,181,181,169,144,100,95,186,188,191,196,157,86,77,198,199,165,152,120,90,133,104,61,95,138,87,57,176,189,184,171,154,120,81,163,187,189,191,198,179,110,72,144,209,157,172,146,96,87,112,73,100,138,91,51,166,196,172,141,138,80,105,183,188,190,193,196,197,161,114,94,184,138,160,163,116,69,108,87,111,142,91,63,184,195,125,115,117,54,146,184,189,193,196,197,201,194,129,95,132,133,121,168,127,86,75,74,104,140,81,90,208,163,97,120,92,78,182,177,192,194,197,200,201,203,160,149,133,118,98,137,139,90,54,50,66,94,59,70,198,112,99,122,66,147,190,177,192,196,199,201,203,204,199,173,133,93,73,75,139,112,85,40,29,53,42,36,89,90,112,96,76,187,182,180,194,197,200,202,204,204,207,174,111,91,81,67,112,150,132,58,10,53,66,92,100,107,116,69,122,197,181,179,194,196,202,205,204,207,209,180,150,127,86,73,104,147,117,66,48,83,122,129,125,103,93,57,168,193,186,183,194,198,202,204,205,209,207,198,175,134,87,78,97,135,116,124,117,115,131,126,119,92,48,92,198,187,188,186,196,200,203,204,206,211,208,195,187,150,115,89,73,126,170,165,158,143,134,123,108,69,52,181,193,188,188,187,196,200,205,205,208,210,212,192,187,160,129,92,80,118,178,176,169,151,131,115,96,38,141,206,189,190,188,186,197,201,205,205,210,211,214,193,172,155,139,100,96,129,170,165,154,138,119,104,62,81,204,193,194,192,188,187,199,202,205,206,210,211,214,200,163,161,148,115,102,131,155,152,148,124,100,81,44,173,202,195,195,194,190,188,200,203,204,207,211,212,211,214,183,160,147,124,92,113,139,139,133,106,85,39,127,210,195,197,194,192,191,189,199,204,205,207,212,212,211,215,204,174,148,120,87,95,120,117,107,84,43,106,212,201,200,197,195,193,191,189,198,203,205,208,213,213,212,216,209,173,143,110,96,98,112,107,88,49,68,215,204,202,201,198,196,195,192,189,199,203,207,210,212,213,214,213,207,177,147,131,123,115,116,109,75,33,156,217,203,203,201,199,197,195,192,188,197,202,205,207,209,212,215,206,200,189,169,144,120,125,120,96,55,63,206,206,204,202,201,198,196,194,191,188
12,141,143,145,147,147,148,148,149,154,155,153,157,160,158,157,158,161,161,160,161,159,160,159,160,160,159,160,162,142,145,145,147,148,149,149,151,154,150,155,148,142,159,161,152,140,149,162,160,160,162,162,161,160,161,161,162,144,145,146,148,149,149,150,154,152,176,179,137,100,104,177,150,119,92,154,168,165,164,164,163,161,161,161,161,145,147,147,148,150,151,155,148,174,214,186,130,113,78,167,143,123,93,98,125,136,162,163,161,162,163,163,163,144,146,147,149,150,151,153,150,195,178,178,147,149,83,138,160,138,96,69,107,86,99,167,164,165,166,166,165,146,147,149,150,150,153,152,158,207,150,160,164,140,87,125,172,145,88,81,120,102,53,141,174,165,166,167,165,148,149,150,152,155,155,153,169,214,148,164,138,106,64,51,133,107,71,95,137,113,68,135,174,165,167,166,165,148,150,152,154,153,158,147,139,180,103,153,145,117,73,28,62,55,37,154,155,110,69,154,170,167,169,167,165,149,150,153,151,158,182,151,117,100,84,118,149,141,140,118,109,90,46,121,125,82,68,169,167,169,169,168,166,150,153,155,148,193,200,161,134,88,87,113,122,119,140,146,145,144,96,43,54,55,91,179,169,169,168,167,166,151,157,148,174,200,193,177,144,102,88,125,108,80,106,111,147,171,137,85,33,40,125,181,168,169,168,167,167,152,156,148,206,176,176,184,153,112,83,83,96,75,77,88,162,175,163,135,65,38,151,177,171,170,168,167,167,152,149,172,199,144,130,171,156,125,96,72,84,74,91,115,160,169,171,160,108,57,165,174,173,170,170,169,168,152,148,190,185,162,135,129,164,131,95,72,85,72,87,99,147,176,164,166,140,78,167,175,172,170,170,170,169,152,149,200,193,172,139,95,148,140,95,74,71,74,90,117,134,151,170,148,154,91,141,182,169,173,171,172,172,151,152,194,162,129,105,77,95,155,113,102,63,88,92,140,170,155,155,141,132,109,96,182,172,173,173,174,174,151,154,204,176,152,126,105,84,129,139,140,87,96,117,171,176,172,152,131,116,106,81,180,174,174,174,173,173,155,155,210,187,156,133,120,96,91,123,115,102,113,162,189,179,172,151,130,109,84,98,183,173,175,174,174,174,156,158,213,190,162,144,128,98,95,125,91,106,145,188,190,178,168,150,133,109,70,118,186,173,175,175,174,175,155,161,217,193,169,153,137,107,99,136,112,139,181,201,188,175,161,148,132,108,63,133,185,174,175,175,174,174,154,167,224,193,169,158,144,125,103,127,132,155,199,202,188,172,155,146,129,102,60,152,181,175,175,175,174,174,151,169,226,195,176,163,146,141,116,123,145,156,208,196,182,168,154,145,121,93,69,169,180,176,177,176,175,175,153,166,220,200,187,166,153,146,133,118,153,155,209,191,173,166,154,142,118,83,80,178,175,176,177,177,176,176,158,160,207,205,194,176,160,154,145,122,150,157,203,188,162,157,152,136,116,73,104,186,174,177,177,176,176,176,159,155,196,211,193,180,166,161,149,127,137,153,194,184,159,154,149,126,110,63,138,185,174,178,179,177,176,176,159,153,186,216,195,185,172,162,148,133,132,139,181,180,156,150,143,126,101,68,165,181,177,177,179,178,177,177,159,154,175,221,200,184,171,157,141,135,135,133,164,171,145,140,138,129,83,90,185,175,178,179,178,177,177,176,158,153,178,225,195,175,166,153,140,130,135,135,152,159,140,135,138,122,67,131,187,175,178,179,177,177,179,176
15,168,169,160,101,180,129,24,95,106,106,109,114,118,126,144,158,170,178,183,186,193,199,206,210,215,219,221,223,174,175,158,105,188,118,25,100,105,107,110,116,119,126,146,161,173,180,183,187,195,202,208,213,217,221,223,226,179,181,153,111,198,108,30,105,105,107,112,117,120,128,148,163,176,183,186,191,198,205,211,217,219,222,226,229,183,188,148,119,206,94,34,108,105,109,113,118,120,130,151,163,176,186,189,192,200,205,212,218,222,224,228,230,185,193,141,130,210,80,43,111,106,109,114,119,120,132,152,165,178,187,190,195,202,209,216,219,223,227,230,233,188,199,133,143,210,71,54,114,108,113,116,120,122,132,152,168,180,188,192,197,205,212,218,221,226,230,232,236,192,203,127,155,206,50,53,106,101,104,110,117,121,134,154,170,183,190,194,199,208,214,219,223,229,232,235,237,196,208,124,187,210,136,133,159,149,145,138,130,125,135,153,169,182,194,196,200,208,213,220,225,229,233,236,238,200,203,145,229,188,187,184,214,197,194,196,201,181,163,150,165,177,180,183,205,209,214,222,225,230,236,237,239,201,203,127,184,131,138,138,177,156,150,192,212,183,156,163,199,208,184,147,145,216,218,222,229,233,236,239,242,203,204,115,197,151,74,105,136,130,124,170,192,166,136,181,214,202,199,210,127,146,225,226,229,235,239,241,244,210,200,113,221,172,20,100,114,111,115,120,151,151,177,229,201,185,219,222,194,124,131,233,234,235,240,243,247,216,194,115,229,155,23,110,115,113,111,124,170,174,178,223,179,175,214,197,215,164,104,131,238,241,238,246,248,220,189,123,239,142,22,113,114,112,111,221,204,143,129,140,134,181,193,194,192,168,143,92,125,231,249,245,250,228,181,130,247,127,27,118,115,109,123,232,219,163,118,74,85,185,212,199,148,135,132,118,89,105,225,255,249,237,175,144,252,114,31,121,113,113,97,188,244,202,183,157,165,178,181,167,117,104,114,107,106,87,107,247,253,243,165,156,252,100,37,125,111,111,161,217,223,216,183,159,162,153,149,158,128,103,108,104,99,98,76,153,255,246,157,170,249,88,45,128,100,195,223,203,177,201,165,113,133,130,128,132,113,102,109,106,101,97,96,85,194,249,149,179,248,76,51,129,104,207,181,151,138,158,126,98,103,100,99,100,103,111,128,126,102,94,101,97,95,249,141,195,246,62,59,130,108,135,129,104,132,129,100,94,113,96,83,121,125,137,150,132,93,91,100,101,97,252,137,208,240,53,67,128,112,110,112,111,152,213,166,126,122,119,101,112,127,136,135,116,93,94,103,106,103,250,133,223,236,44,75,127,111,112,114,117,115,140,144,107,84,134,161,90,99,134,126,106,100,101,111,106,103,250,130,242,234,35,82,127,110,110,113,115,118,123,143,159,173,187,163,138,132,116,108,104,107,113,111,106,104,247,130,254,226,27,89,127,110,110,111,113,115,125,150,171,186,204,188,91,117,146,149,136,124,104,87,80,75,238,134,255,214,22,97,125,111,110,111,112,114,124,148,167,181,206,156,80,74,162,133,83,58,39,33,32,21,230,137,255,201,19,103,121,107,108,109,110,113,124,146,167,183,207,128,95,96,39,47,49,35,30,26,21,15,217,146,255,186,18,108,118,105,104,107,109,110,121,146,166,187,193,111,88,95,69,21,57,39,31,27,22,15,208,159,255,172,18,113,117,104,104,104,107,108,119,143,164,189,170,94,91,87,87,12,38,40,25,19,21,15
0,155,155,156,155,156,156,155,157,156,157,157,159,157,157,156,155,156,157,157,158,157,156,156,158,156,155,155,156,156,155,156,155,157,159,158,159,158,158,155,157,157,157,157,157,157,156,157,159,156,158,158,158,158,156,156,156,157,157,157,158,158,160,160,158,159,160,158,159,160,160,159,160,160,158,158,159,159,158,159,158,159,156,156,156,158,158,158,159,160,161,158,157,154,138,151,161,152,158,161,156,155,162,164,161,163,160,157,159,160,158,156,156,159,160,159,160,160,160,158,164,161,109,72,118,132,114,126,148,137,116,141,154,149,159,163,160,159,160,158,158,158,160,160,161,160,160,162,158,160,111,38,69,141,97,55,115,137,78,54,109,99,85,115,158,161,157,160,159,160,161,161,161,159,158,157,130,146,122,69,56,123,88,44,90,115,68,37,94,95,52,44,98,160,160,159,160,161,162,161,162,160,155,149,122,113,139,104,42,88,89,35,83,105,57,38,104,93,50,50,83,104,170,159,160,161,162,162,162,162,157,149,128,95,102,100,36,75,87,24,72,119,68,33,109,109,55,56,113,70,122,170,160,161,163,162,163,163,156,147,127,96,74,67,42,78,74,14,79,119,56,41,123,118,96,84,92,79,58,162,162,162,163,162,163,162,156,149,141,120,81,61,55,66,54,27,68,93,65,115,130,117,107,86,66,56,51,156,163,163,163,164,165,163,158,154,146,136,113,71,54,49,58,72,71,96,132,141,132,122,99,82,71,48,63,165,163,164,165,165,165,165,159,159,150,143,134,103,59,55,65,72,96,136,144,143,138,124,96,75,67,42,84,175,161,164,164,165,165,164,155,164,157,151,147,127,89,82,75,80,120,142,147,153,142,119,92,72,63,37,121,175,162,165,164,165,166,166,147,162,164,158,154,139,117,108,97,88,122,133,148,156,143,114,88,71,54,57,159,167,163,165,165,166,164,168,148,151,167,167,161,146,132,124,114,102,112,138,153,150,137,105,78,74,46,105,174,164,165,164,166,166,165,169,156,138,165,171,165,153,142,132,124,116,110,126,148,145,129,98,73,71,44,145,172,164,166,165,166,167,166,165,169,129,152,168,169,160,148,140,133,119,110,114,132,132,112,87,71,55,63,168,166,166,165,166,167,168,167,165,173,141,133,166,170,161,143,139,130,118,111,111,121,121,93,75,67,37,110,177,163,166,167,167,167,167,168,169,168,164,126,162,168,152,134,139,126,120,113,99,104,110,85,72,49,64,165,168,165,167,168,168,168,167,169,169,167,168,139,164,168,154,143,149,136,123,110,91,91,96,83,62,45,141,173,167,169,168,168,168,168,168,169,168,168,169,144,165,171,162,148,158,141,121,110,91,84,88,83,45,97,175,166,169,171,169,169,168,168,168,168,168,168,170,137,158,171,167,153,155,138,119,107,93,82,84,79,40,137,173,166,169,171,169,169,168,168,168,168,168,169,172,137,155,172,168,154,147,135,117,105,96,82,78,70,48,156,169,168,169,170,169,169,167,168,167,167,168,169,167,149,160,169,166,156,145,133,120,105,96,83,72,62,58,171,169,168,169,169,169,169,166,168,168,168,169,170,160,154,168,159,161,153,142,132,120,104,94,82,69,59,70,175,167,169,169,169,169,169,167,167,169,169,169,170,158,153,160,158,161,145,135,129,119,104,90,76,67,52,90,172,163,169,169,169,169,169,167,168,169,169,167,171,156,148,158,161,160,145,128,121,116,103,86,68,63,44,116,169,165,169,169,170,169,169
8,112,120,125,130,136,140,144,147,150,153,156,158,160,160,162,163,163,164,164,164,164,164,164,164,164,163,163,162,116,122,128,134,140,145,148,150,156,158,160,162,164,164,165,165,165,166,166,166,166,166,165,165,165,163,163,163,121,127,132,139,146,150,153,172,146,162,166,168,169,170,170,170,169,170,172,171,170,170,169,168,167,166,166,165,124,132,135,142,150,154,161,192,123,150,174,174,175,175,175,176,175,175,176,175,175,174,173,172,171,171,170,168,127,135,139,146,153,158,169,204,119,137,181,179,181,182,182,182,182,181,181,180,181,180,178,178,176,176,176,173,131,138,142,150,158,162,173,212,119,135,187,185,185,187,188,187,186,186,188,189,176,178,185,183,182,181,181,178,135,141,146,154,162,166,175,210,125,133,192,189,190,189,186,193,204,152,153,211,170,129,178,190,188,187,186,183,139,143,150,158,164,171,179,217,139,126,195,193,201,206,153,178,214,160,120,178,180,135,132,195,193,192,191,188,142,146,154,163,170,175,183,221,158,133,190,197,226,236,211,195,175,168,177,199,149,104,105,181,198,196,194,193,144,149,158,167,174,178,184,222,183,162,184,213,226,226,229,187,171,176,183,183,152,104,73,157,205,199,198,197,147,153,161,170,178,183,186,217,192,185,205,218,197,175,233,193,166,173,156,145,165,125,74,168,207,202,201,200,151,155,164,173,180,187,189,214,212,191,208,217,196,145,180,208,135,109,102,151,183,144,97,187,210,206,204,202,153,159,168,177,184,190,192,214,229,171,196,190,179,161,150,201,141,79,66,190,204,165,109,152,215,209,208,206,156,161,170,180,186,192,195,214,236,169,150,181,148,147,142,183,163,118,74,169,225,187,126,100,207,214,211,208,158,163,174,183,188,195,199,211,237,197,128,147,148,134,154,178,177,130,167,220,215,187,133,85,177,220,214,213,159,165,177,185,192,198,202,212,244,219,155,121,162,140,178,215,186,167,225,227,193,154,125,93,179,223,217,215,160,168,179,186,193,199,205,210,245,228,181,131,135,150,184,227,219,234,235,207,178,139,109,101,210,224,220,220,164,170,181,190,195,200,207,212,245,238,204,158,129,152,175,231,234,241,231,197,160,126,92,137,235,231,225,208,164,170,182,190,197,203,208,213,242,244,217,178,148,155,167,221,239,237,215,182,147,116,85,186,204,159,119,80,165,171,183,192,199,204,209,212,237,243,226,190,173,162,163,201,236,231,203,166,135,108,83,101,70,53,54,58,166,173,184,194,200,206,211,214,230,238,232,203,188,179,151,186,216,222,194,153,128,100,68,45,47,49,46,58,166,175,186,195,202,207,212,216,221,235,234,214,196,189,148,179,193,212,182,144,118,93,56,41,41,55,41,46,167,175,187,195,202,207,213,218,216,227,230,217,200,184,149,150,186,187,167,130,107,76,54,42,30,49,53,39,165,174,186,195,201,206,212,217,219,214,229,219,202,178,150,130,171,168,151,122,100,49,37,54,32,34,53,46,166,176,187,195,201,206,211,216,222,212,235,229,205,179,150,127,147,161,138,114,85,27,21,48,48,28,41,50,167,177,188,196,202,207,212,218,222,215,233,225,197,172,152,129,135,145,129,102,70,38,11,30,52,40,29,46,167,176,188,196,203,207,212,217,222,206,236,207,178,177,161,135,127,133,129,90,50,53,13,17,44,52,33,35,164,173,182,190,197,204,211,216,216,173,244,210,189,194,170,136,122,126,124,74,30,54,26,8,33,52,43,34
6,207,208,208,208,209,209,210,211,211,211,211,211,210,209,210,209,208,207,207,207,205,203,203,203,202,200,199,199,208,209,210,210,210,211,211,212,212,212,212,212,212,212,212,211,210,209,208,208,207,205,204,203,202,201,200,199,209,211,212,212,212,212,212,213,214,214,214,214,214,214,215,214,212,211,209,209,208,207,205,204,203,202,201,200,210,211,213,213,214,214,214,214,215,216,216,215,215,215,216,215,214,213,211,211,210,208,207,206,204,204,203,202,213,213,214,215,216,215,215,215,216,216,215,216,217,217,216,216,215,214,213,213,212,210,209,208,207,206,204,203,215,215,216,217,217,217,217,216,216,216,216,217,218,217,217,216,216,215,215,214,213,213,211,210,208,207,205,205,216,216,217,217,218,218,218,218,218,217,218,218,219,219,219,218,217,217,216,215,214,213,212,210,209,208,207,207,218,218,219,219,219,219,220,220,219,219,219,220,221,221,221,220,219,218,217,216,215,214,213,211,209,209,209,207,219,219,220,221,221,222,223,224,223,221,215,213,217,219,219,219,219,218,216,212,212,210,210,207,208,219,212,207,221,221,222,223,224,225,226,226,224,218,204,191,199,211,216,216,216,213,207,205,206,204,205,202,205,215,202,204,223,224,225,225,225,222,219,220,220,217,205,177,167,182,192,196,195,192,188,186,185,186,186,185,184,188,196,208,223,221,220,220,218,213,212,213,213,212,203,171,143,139,141,153,165,172,175,176,181,187,190,191,194,202,211,213,217,214,212,210,208,204,204,202,198,194,183,157,138,132,129,148,184,203,209,211,214,216,217,216,215,215,213,212,215,208,202,198,197,198,198,194,193,196,188,157,134,132,139,147,170,204,222,224,223,223,222,219,206,188,178,175,212,204,195,191,191,192,194,195,199,206,200,165,135,126,135,142,143,160,202,224,225,224,223,208,167,141,133,131,210,203,193,185,183,185,191,196,201,201,188,164,145,137,136,135,137,139,175,221,226,224,221,184,139,128,125,123,211,205,196,188,184,184,186,190,199,200,178,153,145,148,148,141,134,134,174,220,225,222,203,157,126,118,114,113,208,204,199,193,188,187,186,186,193,199,181,149,131,140,153,154,142,138,186,219,216,201,157,126,109,97,88,81,203,204,202,197,192,190,189,190,197,200,179,151,137,137,142,148,148,142,167,181,166,145,120,107,95,83,74,67,185,200,205,203,197,193,191,189,191,193,178,158,151,150,145,139,139,133,132,132,125,114,103,94,85,76,69,66,131,171,199,200,196,192,187,183,178,174,167,157,160,161,156,148,133,113,106,113,114,107,99,91,82,73,66,63,72,106,159,182,182,179,175,174,172,161,142,131,140,153,159,151,129,101,87,97,102,98,95,93,86,74,64,60,53,60,101,165,190,194,198,202,208,196,149,128,130,141,144,132,123,99,79,81,91,91,89,92,91,78,65,59,43,48,103,173,192,194,197,199,201,199,178,161,154,146,123,108,117,97,74,69,79,84,84,88,92,83,68,59,36,48,106,139,142,143,145,146,147,149,148,148,152,141,107,95,111,94,69,65,71,76,78,83,89,85,69,60,36,47,104,129,129,129,129,129,130,129,130,136,139,127,97,88,104,88,66,62,68,71,73,77,83,83,72,61,36,50,112,133,133,133,132,131,131,132,133,128,117,107,92,83,98,83,65,58,64,67,69,73,78,82,75,64,31,58,121,135,134,134,135,134,134,130,123,113,105,96,88,82,93,80,64,58,59,62,65,69,75,80,76,66
10,112,121,125,128,134,142,150,154,159,163,167,171,174,177,179,182,184,185,187,187,184,190,189,190,189,188,188,187,115,123,128,131,137,144,152,158,162,166,170,174,177,178,181,186,188,189,187,197,204,170,194,193,193,191,192,190,115,126,130,131,140,147,155,161,164,168,171,176,180,181,186,188,189,190,183,223,230,139,191,196,196,195,194,193,117,126,129,133,143,150,156,161,166,170,174,177,181,184,189,191,193,195,187,232,239,141,184,201,197,197,196,196,120,128,131,135,143,153,159,163,168,172,176,180,184,188,190,194,196,198,191,225,255,157,176,205,198,200,201,199,121,130,133,137,146,154,160,165,169,174,178,182,187,190,192,194,197,199,195,220,255,186,163,211,202,204,203,203,124,132,135,140,149,156,162,169,174,178,182,187,190,191,194,196,198,201,198,218,255,207,148,211,205,206,206,206,126,134,137,142,151,158,164,171,177,181,185,189,191,195,195,198,204,204,201,214,255,220,141,211,208,208,208,208,127,135,137,144,153,161,167,173,179,180,185,192,194,192,211,211,164,207,206,213,255,226,136,205,213,210,210,210,130,138,141,145,155,163,169,174,178,190,189,186,195,197,233,231,127,156,214,216,255,234,136,199,218,213,215,214,132,139,142,147,157,165,169,176,177,227,185,124,124,135,188,232,200,160,191,225,255,229,140,183,222,215,216,215,132,140,143,150,159,167,172,179,183,201,158,108,102,111,109,203,255,205,135,227,245,221,155,166,226,216,217,218,133,141,145,152,161,169,175,180,186,191,179,156,139,132,125,138,233,215,130,170,194,197,162,154,228,220,221,220,136,143,148,154,163,171,178,183,189,193,201,197,231,224,116,95,212,249,181,107,118,148,154,131,220,223,222,222,138,144,149,156,165,173,180,185,191,196,197,208,255,223,90,73,161,255,215,131,91,118,136,114,203,229,223,224,139,145,151,157,166,174,181,187,192,199,194,249,255,212,103,103,96,255,244,177,109,101,133,113,191,233,223,225,140,147,150,158,167,176,182,188,195,201,198,244,255,251,130,65,117,253,255,206,134,94,127,115,196,237,227,228,142,149,151,160,169,177,184,190,196,201,203,212,255,255,172,111,147,252,255,202,138,104,116,111,203,239,229,230,143,149,154,161,171,179,186,191,197,201,206,205,236,241,169,153,163,255,255,220,159,115,114,107,209,238,231,233,145,151,154,164,173,179,186,193,199,203,207,212,210,232,230,183,204,255,251,230,185,131,113,104,217,238,233,235,147,153,157,165,173,181,188,194,200,204,210,216,212,255,255,241,243,255,255,222,189,146,117,101,219,239,235,236,147,151,156,165,174,181,188,194,200,205,209,216,214,243,255,255,255,255,255,221,190,155,125,103,222,240,238,238,146,151,154,164,174,180,186,193,199,204,210,214,214,229,255,255,255,255,254,221,186,164,133,105,222,240,236,237,148,153,156,166,176,183,189,195,201,206,211,215,217,226,255,255,255,255,250,221,194,172,138,100,222,241,238,238,147,152,157,166,176,183,190,197,203,207,212,216,220,221,255,255,255,255,248,230,203,169,134,104,231,241,240,240,148,153,159,168,178,184,191,197,203,209,213,217,222,219,252,255,255,255,241,243,215,164,123,114,243,238,242,243,148,153,159,167,177,183,191,199,205,210,215,219,223,228,244,255,251,249,246,245,229,165,112,116,249,246,242,243,143,150,156,164,174,181,189,199,203,208,214,217,224,185,105,226,248,255,255,243,233,161,111,59,66,199,251,242
6,214,214,214,214,215,214,214,214,213,213,214,213,212,211,208,208,207,205,205,203,202,199,198,197,196,194,192,188,218,218,218,219,219,218,218,217,217,217,217,215,214,212,210,210,209,207,207,205,205,203,201,199,198,196,195,192,220,221,221,220,220,222,222,220,220,220,220,219,218,216,215,213,213,211,210,209,207,205,204,202,202,199,197,195,223,223,222,222,223,223,223,223,222,222,223,221,220,220,219,217,215,214,212,210,209,209,207,205,204,203,199,197,226,226,226,225,226,227,226,225,225,225,225,225,223,222,221,219,218,216,215,213,212,211,210,208,206,206,203,201,227,227,228,227,227,228,228,227,227,228,227,226,226,225,223,222,221,220,218,216,214,213,213,211,209,206,205,204,228,229,230,230,229,230,230,230,229,230,229,228,227,227,226,224,222,221,221,219,217,215,213,213,211,209,206,204,230,231,231,232,233,233,233,232,232,233,231,231,230,228,226,226,224,225,226,224,223,220,219,218,215,209,210,208,233,232,233,234,234,234,234,234,234,234,235,235,234,235,234,231,229,222,214,207,201,202,198,185,186,198,193,208,234,233,233,233,234,235,236,235,239,237,232,224,217,215,205,194,184,182,160,154,164,172,163,153,192,230,182,190,235,235,235,236,235,235,236,239,225,196,175,173,168,174,175,171,167,166,156,151,169,151,152,147,147,164,153,198,237,238,237,237,236,239,234,215,197,182,159,162,169,173,179,173,164,135,130,117,114,117,134,138,145,171,200,216,239,239,239,239,242,225,201,196,195,177,141,119,132,131,122,122,123,117,128,159,190,208,217,222,228,228,222,216,239,239,241,243,218,190,193,193,187,173,152,111,86,61,164,223,230,230,232,240,237,233,229,227,222,221,220,219,240,242,244,217,187,192,197,195,197,197,182,130,82,73,105,146,182,232,236,232,232,229,228,228,226,224,222,221,244,240,214,197,199,202,205,204,202,201,155,95,76,79,74,68,61,107,238,235,234,233,231,229,228,226,224,222,227,199,195,207,206,204,208,192,190,184,116,77,69,73,83,86,87,63,182,247,233,235,233,230,228,227,225,221,195,195,207,210,206,205,196,181,188,184,156,126,77,57,70,75,80,51,127,249,234,234,234,231,229,228,225,223,199,202,206,210,211,202,185,186,192,192,196,158,93,69,71,63,71,134,219,239,235,234,234,232,230,228,227,225,202,203,210,213,204,188,181,184,181,182,177,125,78,72,75,72,79,245,246,236,237,235,234,233,231,229,227,225,203,206,207,200,189,183,182,180,171,163,154,113,66,58,71,64,89,237,239,238,238,235,234,232,230,229,228,226,204,200,188,182,188,185,178,171,156,154,164,150,90,61,63,77,217,244,237,235,235,234,233,231,228,225,224,224,190,179,175,182,177,164,153,148,153,165,181,166,97,76,74,79,239,242,238,235,234,233,233,230,233,236,232,222,182,179,180,170,157,147,150,154,159,161,164,126,78,66,54,121,245,238,238,237,240,238,237,241,217,184,147,110,176,174,165,154,152,152,150,136,127,120,104,67,84,122,158,240,243,248,249,242,222,222,220,192,109,77,61,67,160,148,123,125,142,145,134,111,91,79,86,149,237,255,255,249,247,190,162,126,88,96,86,74,64,78,65,55,113,92,70,83,106,107,97,85,89,132,184,218,221,218,220,224,168,90,87,65,47,65,52,58,56,54,65,42,89,64,77,111,117,113,111,111,121,127,127,121,118,120,120,103,82,79,70,74,43,55,53,48,51,48,52,43
5,180,182,185,188,188,188,188,189,191,190,189,191,191,191,192,191,197,182,189,190,188,187,186,185,184,182,181,181,182,185,187,189,189,189,191,190,202,196,165,192,193,193,193,193,213,156,182,192,192,189,187,187,186,185,183,182,184,186,189,191,191,193,194,193,204,218,150,189,196,194,194,202,219,145,179,195,193,192,190,189,188,187,186,186,187,188,190,193,193,194,194,195,202,229,158,183,199,197,196,219,203,141,189,196,195,194,193,192,190,189,189,187,189,191,193,194,197,211,172,191,204,239,177,178,201,199,204,229,178,149,198,197,197,196,195,195,194,192,190,189,191,193,195,196,197,223,169,175,205,245,198,173,202,199,221,223,159,169,201,200,200,198,196,197,196,194,192,192,194,195,196,198,197,225,193,161,207,240,193,165,202,206,223,194,143,188,203,202,202,200,199,198,196,195,194,194,195,196,199,200,199,224,223,166,204,231,184,155,203,210,205,152,152,203,204,203,203,202,201,200,199,196,196,195,196,198,200,202,200,216,245,184,192,230,198,159,198,201,189,134,180,207,206,205,204,203,202,202,201,200,198,198,198,199,201,203,203,211,249,209,173,226,198,165,173,180,177,143,198,208,207,207,207,204,203,203,202,202,201,199,199,200,202,204,205,208,243,241,189,205,189,173,139,155,158,154,205,210,209,209,208,207,206,205,204,202,201,200,201,202,204,206,207,208,228,253,237,195,168,169,130,132,138,170,211,211,211,208,208,207,207,205,204,204,202,202,202,204,206,207,208,209,214,246,253,227,165,150,132,125,123,176,210,208,212,215,220,223,221,215,206,202,190,193,204,206,208,209,210,211,211,229,254,247,202,145,126,123,120,146,185,199,193,178,188,200,191,194,202,189,152,175,205,207,208,210,211,213,213,216,247,252,216,156,128,122,120,131,150,166,152,132,150,161,163,175,182,176,149,194,207,209,210,211,213,215,215,215,237,253,216,158,129,119,119,127,126,128,138,179,207,209,210,209,205,183,163,203,208,209,211,213,215,216,217,216,236,253,217,163,132,118,119,118,128,175,205,217,217,216,209,208,192,163,195,210,209,211,213,214,215,218,218,218,242,253,218,168,135,120,114,107,182,220,219,218,217,209,198,203,161,176,213,210,209,212,215,216,216,218,218,220,246,252,212,167,134,118,111,113,160,192,212,214,202,197,197,184,142,192,215,212,210,213,216,217,217,217,219,224,251,248,206,165,130,111,109,118,123,139,159,172,180,191,188,159,164,211,213,203,211,214,215,217,218,219,219,229,254,244,202,159,126,107,108,114,125,144,150,159,177,173,160,179,212,216,177,139,210,213,215,216,218,219,219,236,255,238,194,153,129,110,113,121,141,158,155,151,158,151,186,216,219,200,133,122,212,214,216,218,219,220,220,243,254,227,184,158,138,114,121,139,155,160,156,139,144,193,219,218,218,179,122,117,213,215,217,219,221,221,224,250,252,217,182,167,143,116,123,146,157,156,147,149,200,222,221,223,186,124,106,95,213,216,218,221,222,222,231,254,249,216,188,169,143,116,122,144,148,145,141,198,226,224,222,206,141,107,98,85,215,217,219,221,221,222,241,255,247,222,193,162,132,108,112,130,135,133,179,225,226,221,183,138,112,99,86,76,216,217,220,221,222,225,250,254,242,219,175,129,103,86,90,101,122,172,223,229,221,173,128,113,103,95,86,73,201,204,207,207,194,210,254,250,228,194,137,92,77,67,71,69,137,225,229,224,171,118,109,102,94,91,91,80
6,165,166,168,170,171,173,173,172,172,172,173,173,173,172,172,171,172,171,171,170,169,169,169,169,168,167,166,165,166,167,169,171,172,173,174,174,175,175,175,174,175,174,174,173,173,172,171,171,170,171,171,170,170,169,166,165,166,168,170,171,173,175,176,176,177,176,175,175,176,175,174,173,173,172,172,172,171,172,172,170,170,169,167,166,165,168,170,172,174,176,176,176,176,175,176,176,175,175,176,175,174,173,173,172,171,172,172,171,170,170,169,168,166,169,171,172,174,175,176,177,177,176,177,177,176,175,174,174,173,174,175,175,174,176,174,173,172,170,170,169,167,169,171,173,175,175,176,177,177,176,174,171,165,158,142,143,149,154,152,154,155,151,161,164,170,172,170,170,167,170,172,173,175,175,173,177,177,179,176,172,169,159,141,143,153,159,149,150,137,130,171,156,139,175,170,170,168,171,172,176,179,170,174,183,185,186,181,173,166,155,142,141,150,157,153,150,148,137,162,147,124,174,170,170,170,172,172,195,186,170,172,173,171,163,156,153,144,142,129,109,106,119,124,128,132,129,132,133,159,175,171,171,170,172,174,203,184,168,162,157,161,166,166,160,148,146,150,122,107,161,160,162,163,166,167,172,176,173,172,171,171,171,177,188,164,160,163,168,175,180,174,164,157,154,153,131,103,180,182,181,181,180,178,177,176,175,173,171,171,170,193,186,159,157,162,168,176,180,177,170,161,151,137,117,92,151,184,177,178,178,177,176,177,176,174,172,172,172,194,173,159,156,159,162,166,168,169,163,151,145,133,98,92,125,185,177,179,179,178,177,177,177,175,174,172,175,183,160,169,167,166,165,169,176,176,163,144,146,147,98,89,115,181,180,179,180,179,178,178,176,175,174,172,173,181,182,182,172,175,175,181,185,172,158,149,150,139,105,93,111,177,182,182,181,179,178,177,176,176,174,173,171,184,205,188,169,172,172,175,173,168,159,152,140,118,104,101,115,182,181,182,181,179,178,177,177,176,175,171,170,187,202,185,169,166,158,147,144,146,144,138,127,98,96,107,159,185,181,180,180,181,178,177,176,175,174,171,170,186,190,183,172,159,145,140,153,162,155,154,157,110,82,115,180,182,181,179,179,179,178,177,175,174,172,173,171,187,183,193,178,159,160,176,182,167,152,146,151,117,91,135,185,180,180,180,179,178,178,177,176,174,172,173,171,187,181,189,175,161,163,171,170,157,147,140,130,111,102,150,188,180,180,180,179,178,178,177,176,175,174,171,166,183,185,179,169,164,163,165,160,153,139,125,109,98,106,165,183,181,181,181,180,179,178,177,176,176,175,174,167,176,184,183,169,161,157,151,136,124,109,99,109,138,161,182,180,182,182,180,181,181,180,179,178,177,170,163,158,173,182,172,159,149,140,126,110,100,86,101,155,178,176,174,174,174,174,173,174,174,173,174,173,165,199,106,109,167,173,154,145,140,133,109,99,103,102,108,110,109,108,109,109,109,109,107,107,108,108,109,101,187,239,104,107,164,165,144,146,141,123,105,101,107,112,101,98,98,97,97,97,97,96,95,95,94,94,84,173,241,231,104,113,167,157,143,154,139,113,103,101,111,108,102,103,102,103,101,105,111,105,106,109,108,89,175,241,233,231,100,121,172,154,147,153,136,114,101,101,117,106,102,103,102,101,101,102,103,102,102,106,90,160,241,235,232,225,100,132,175,151,143,145,126,107,99,107,116,104,103,103,102,101,100,101,101,101,104,94,135,239,234,237,224,221
0,197,195,196,196,197,197,196,197,197,198,200,200,197,198,198,198,198,197,198,199,197,197,197,198,198,196,196,195,197,197,197,197,198,199,199,199,199,200,200,200,201,199,197,197,198,196,199,199,197,198,198,199,198,197,197,197,197,198,199,198,198,200,199,198,200,201,200,200,202,201,199,198,199,199,200,200,199,199,199,199,199,198,197,197,199,200,200,200,201,201,200,199,193,183,192,195,195,196,198,194,194,199,202,201,202,200,199,200,200,199,198,198,200,199,200,201,202,201,199,206,188,134,121,163,166,152,170,180,166,152,181,187,186,195,198,200,200,200,199,199,201,200,200,201,201,202,201,202,192,122,66,130,160,111,102,164,151,97,97,143,123,120,155,195,201,200,199,199,202,201,201,201,199,200,193,173,184,135,83,104,145,99,72,140,127,80,71,132,110,71,85,144,198,201,200,200,202,202,203,202,198,195,182,152,160,159,106,76,125,95,61,125,120,69,72,135,106,64,83,114,153,203,200,201,203,203,204,203,200,194,181,152,128,138,106,60,111,88,47,117,132,72,75,143,120,75,98,128,104,169,204,200,204,203,204,204,202,194,179,151,118,102,82,67,103,76,40,120,127,68,93,153,141,118,112,113,93,112,205,201,204,205,205,205,202,194,184,168,139,99,81,75,84,69,53,106,110,103,148,158,147,130,107,86,74,103,202,202,205,206,206,206,203,198,190,180,163,127,87,73,69,83,92,104,135,163,172,165,149,123,104,84,66,122,206,203,206,206,207,208,204,200,196,185,176,157,113,80,78,90,101,135,171,181,181,171,150,117,96,82,65,148,210,205,207,207,207,207,204,199,203,193,188,176,143,110,106,98,116,159,179,189,192,174,144,113,92,78,74,182,209,206,207,208,208,208,205,191,206,203,199,190,168,145,135,119,125,160,177,191,196,174,138,107,89,72,110,205,208,206,208,209,209,209,208,185,199,209,208,197,181,165,155,142,136,157,179,192,187,166,128,101,89,75,163,209,208,207,209,209,209,209,211,187,186,208,212,203,190,176,164,154,146,148,170,188,178,155,119,96,82,91,196,209,208,208,209,209,208,210,211,197,171,199,212,210,197,184,173,163,148,142,155,171,163,137,110,92,72,123,210,209,208,209,209,209,209,209,211,209,172,185,209,212,196,180,174,163,148,141,147,157,148,119,99,85,73,172,210,209,210,209,209,209,210,211,210,211,189,175,209,208,186,174,174,160,152,140,132,139,135,107,89,70,118,205,211,208,210,210,210,210,211,212,211,211,201,182,207,208,190,183,185,166,154,137,121,122,125,102,78,87,184,211,211,211,212,212,210,210,212,213,212,212,205,187,209,213,199,190,194,171,152,135,116,110,115,98,71,150,210,213,213,213,213,213,210,211,212,213,212,213,206,180,207,213,205,194,191,169,149,132,118,106,110,91,80,188,213,214,214,213,213,213,210,209,211,211,212,214,206,176,205,212,205,192,183,165,147,132,120,103,104,84,96,201,210,215,214,214,214,214,209,208,209,209,211,213,204,187,205,211,205,192,180,165,149,131,121,103,97,78,112,213,212,214,214,214,214,214,210,210,209,210,211,212,199,197,205,204,201,188,177,163,149,131,119,100,91,76,129,215,212,213,213,214,214,214,211,211,210,211,212,211,196,194,201,200,199,181,169,160,148,130,114,94,85,73,147,209,210,212,212,213,213,213,212,211,210,211,213,212,193,189,199,202,198,177,161,153,146,129,110,88,80,73,167,209,211,213,213,213,213,213
6,169,172,174,174,175,175,176,176,175,175,175,173,172,171,172,172,170,170,167,166,165,164,164,163,162,160,157,155,172,173,175,178,178,178,178,178,177,177,178,177,175,172,172,172,171,170,168,168,168,168,167,164,164,162,159,157,172,174,176,179,180,180,181,180,179,178,178,178,176,175,173,174,173,171,170,169,169,168,166,164,164,163,161,159,173,176,178,179,180,182,181,181,183,181,180,180,178,178,176,174,175,175,172,171,171,170,168,167,166,164,163,162,175,178,179,181,183,184,183,182,184,183,181,181,181,179,178,178,179,176,173,168,169,168,169,164,163,160,154,160,177,179,180,184,185,185,186,185,185,185,186,185,183,178,171,167,161,161,158,133,139,153,152,135,149,140,160,191,179,180,182,185,186,186,185,186,184,183,171,160,163,165,158,161,163,164,153,147,139,163,160,142,151,146,151,177,179,181,184,186,186,187,186,185,190,190,160,141,152,165,168,173,174,172,153,133,133,127,129,114,105,105,95,105,180,183,184,186,187,188,188,184,202,199,169,155,143,144,145,139,135,126,117,104,76,76,62,83,117,123,144,159,182,184,186,187,188,189,189,188,211,204,187,169,148,134,128,119,112,101,84,61,32,19,35,161,182,176,175,170,184,185,187,187,189,191,187,200,216,210,198,160,124,119,127,135,131,123,111,103,100,52,132,185,171,172,170,169,185,186,189,188,190,193,187,212,220,215,185,126,103,113,118,130,135,130,120,109,111,68,142,185,176,174,172,170,185,188,191,191,192,190,191,221,214,211,152,110,119,114,102,109,128,113,105,105,91,50,151,184,177,175,172,171,186,188,192,192,194,185,203,220,211,210,176,157,136,117,91,101,131,119,116,117,87,80,186,180,178,177,174,172,187,190,191,193,192,191,215,214,214,216,212,195,144,115,126,134,132,120,108,94,93,75,163,185,178,177,174,173,188,192,192,195,186,203,217,216,216,210,211,198,133,103,113,118,120,113,95,86,84,54,162,185,179,178,176,174,187,191,192,191,187,209,215,218,211,205,201,178,132,109,101,91,98,105,101,94,64,90,187,181,180,180,176,172,186,187,192,176,196,212,214,214,204,198,191,187,166,142,100,64,83,105,99,95,57,138,191,178,180,177,172,175,186,192,183,171,209,213,213,207,206,206,195,189,198,172,113,87,108,125,108,86,71,81,185,180,177,177,184,161,189,194,171,189,209,211,209,208,211,202,189,200,197,155,99,86,95,93,82,70,52,76,185,184,188,180,119,45,191,179,182,204,206,206,203,197,192,188,188,195,173,127,93,90,84,72,62,56,66,162,195,174,120,58,12,5,186,172,196,201,205,197,188,182,174,179,175,157,131,103,89,74,63,110,122,144,169,148,94,39,5,2,3,3,173,182,198,199,200,187,174,171,168,165,160,134,110,97,102,85,117,154,121,95,53,19,0,0,0,1,0,0,161,196,195,196,184,172,158,153,164,156,144,131,119,99,72,40,33,8,0,0,0,4,0,0,0,0,0,0,178,199,195,190,179,168,152,144,144,135,121,110,86,55,22,0,0,0,0,0,1,0,0,0,0,0,0,0,194,197,194,184,172,150,130,128,117,96,83,66,39,10,0,8,0,0,0,0,0,0,0,0,0,0,0,0,198,195,190,187,156,119,116,111,101,83,48,21,3,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,198,194,189,179,123,109,132,117,90,63,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
24,116,123,132,145,154,160,166,170,176,179,183,185,187,188,189,189,187,186,185,184,182,179,177,177,176,173,169,167,119,124,135,150,159,164,170,175,180,184,188,190,193,194,195,194,194,192,191,191,189,187,185,183,181,178,175,174,122,127,139,153,162,169,174,179,184,189,192,196,198,198,199,199,198,198,197,197,195,193,191,190,188,186,182,179,124,130,142,155,164,172,177,181,187,192,197,200,201,201,203,203,203,203,202,200,199,197,196,195,193,191,187,184,126,132,143,158,168,175,181,185,190,195,200,204,205,206,207,206,206,205,205,204,205,203,201,200,199,197,193,191,129,134,155,165,171,178,184,188,194,198,203,207,208,207,208,210,210,209,208,207,207,207,206,205,205,203,199,196,126,153,164,125,179,181,186,191,196,201,205,208,211,211,211,213,212,212,212,211,210,210,211,209,208,207,204,201,127,165,151,80,177,184,188,193,199,204,208,210,210,213,214,216,221,216,213,215,213,212,214,215,211,208,207,205,129,173,150,74,171,187,191,197,203,205,209,213,221,218,219,190,160,213,217,213,216,217,215,210,218,213,209,206,131,178,137,68,169,190,192,196,200,212,210,212,172,194,251,191,109,125,223,219,210,189,171,123,142,221,212,217,133,172,131,66,169,191,203,184,137,179,230,220,130,96,171,202,148,86,193,208,192,156,104,72,178,236,211,177,135,171,147,69,161,192,222,218,176,149,212,223,152,107,95,202,167,107,134,166,204,123,82,177,197,134,60,30,137,173,165,81,139,198,213,246,234,186,136,223,181,146,98,182,170,100,79,189,171,79,70,84,37,14,23,17,143,164,187,141,146,188,212,209,245,214,140,154,213,155,91,121,145,74,112,210,118,60,25,15,32,38,31,27,145,151,201,178,169,192,213,163,188,219,145,84,204,181,104,52,69,78,174,178,84,32,21,19,15,35,31,21,148,151,187,202,196,219,221,195,163,184,139,65,170,199,114,37,45,145,184,138,59,7,14,30,10,20,33,29,149,156,176,231,206,187,194,177,143,158,147,92,107,149,78,68,108,150,146,100,32,23,0,19,23,10,22,34,147,160,171,229,208,166,181,163,120,127,152,123,89,87,143,175,161,159,114,68,0,27,16,0,18,13,16,26,149,162,172,217,219,146,133,147,127,130,152,165,138,161,239,220,183,171,96,47,0,6,32,8,3,15,12,16,108,115,111,162,223,166,116,134,177,141,195,231,207,235,246,212,181,160,83,46,0,0,24,28,10,11,5,11,94,97,89,119,230,201,142,115,163,160,209,231,239,252,236,199,171,142,71,33,10,0,8,29,21,16,6,2,100,102,102,105,212,216,169,130,130,168,194,238,246,241,218,185,159,132,64,8,23,0,0,22,22,22,12,0,102,103,106,97,188,226,192,152,130,160,179,235,245,230,204,174,148,130,69,0,27,0,0,12,23,18,15,8,100,102,107,94,161,229,205,167,148,159,167,221,237,214,193,170,138,120,66,0,21,6,0,0,22,15,13,12,99,101,104,98,126,219,209,183,159,165,157,205,227,203,190,169,122,106,57,0,15,18,0,0,15,17,8,9,99,100,101,102,100,189,210,194,170,173,154,178,213,196,193,160,106,95,36,0,11,22,0,0,0,20,2,5,98,99,100,102,96,132,212,203,183,174,159,152,188,187,178,145,97,86,23,0,0,24,9,0,0,14,6,0,97,99,99,100,103,96,175,209,187,173,156,135,150,168,151,124,95,71,7,0,0,18,15,0,0,0,15,0
4,69,81,93,98,103,106,110,112,114,116,119,121,123,125,127,128,131,130,132,134,133,134,135,134,135,135,135,136,69,83,94,99,104,107,111,113,115,118,122,122,125,127,127,130,129,132,134,135,138,137,136,137,138,137,138,137,71,86,95,100,105,108,112,115,117,118,120,122,118,122,134,136,112,103,131,127,124,139,138,138,139,139,139,138,73,87,96,101,106,109,113,117,118,115,128,152,123,105,134,150,109,66,100,120,72,95,143,139,140,140,141,141,75,89,97,102,107,110,114,117,123,129,110,128,152,107,96,139,97,62,64,102,78,54,131,144,140,141,143,142,75,91,98,104,107,110,115,114,146,142,118,93,108,100,72,107,87,55,65,104,77,45,125,147,141,143,144,143,77,91,99,104,108,111,112,127,156,149,131,109,66,69,66,123,100,43,102,108,63,47,140,144,142,144,145,144,80,93,99,105,109,113,111,143,130,122,127,89,60,52,64,131,98,85,125,88,41,64,149,145,144,146,147,146,81,93,101,106,110,114,113,152,115,110,117,64,50,58,42,81,106,137,119,102,63,82,156,144,146,146,147,147,85,95,100,106,110,113,121,158,126,126,106,68,38,81,94,107,122,120,104,111,93,84,148,147,146,148,147,148,86,96,99,106,113,112,131,152,113,100,95,73,27,106,122,109,109,91,104,126,110,87,99,153,146,151,150,149,88,96,101,109,112,109,141,143,107,86,74,48,28,45,80,81,76,49,103,132,125,112,73,114,156,149,152,152,88,97,102,109,113,113,160,147,116,97,80,61,42,36,42,47,68,105,107,125,134,117,91,67,140,153,152,151,90,98,102,109,112,120,170,141,119,107,80,62,52,62,87,110,139,150,136,127,116,110,101,68,105,160,151,152,93,98,102,111,110,129,175,146,134,109,79,74,62,92,132,148,154,148,131,120,100,89,93,66,112,159,152,154,94,98,103,111,108,140,175,149,130,99,84,81,74,125,149,154,156,153,129,109,89,75,72,75,147,154,154,154,94,98,104,112,109,144,174,146,121,99,96,85,97,142,147,152,155,142,118,100,83,70,60,121,159,153,155,154,94,98,104,112,108,145,171,141,123,115,111,98,119,142,145,149,145,126,108,89,78,59,85,158,154,155,157,157,95,99,105,111,110,143,165,145,139,131,117,112,134,140,145,139,127,116,95,83,70,61,142,159,155,157,158,159,95,99,106,112,112,134,165,152,146,131,115,110,129,135,133,123,111,102,85,76,58,108,163,155,155,158,159,158,96,100,107,113,113,126,161,147,141,129,111,98,112,121,121,113,99,90,80,63,79,156,156,157,157,158,158,159,96,101,108,113,117,123,159,141,129,120,104,98,107,117,115,102,87,81,69,61,137,159,156,158,159,159,159,160,96,101,108,113,117,120,152,131,119,112,100,106,103,110,112,97,83,75,53,113,162,155,158,158,159,160,160,160,96,101,108,113,116,128,152,132,122,117,118,121,102,96,103,87,77,60,81,157,156,158,159,160,160,160,160,160,97,102,109,113,120,161,137,127,130,122,120,112,97,88,93,81,71,55,130,160,156,158,159,159,160,160,160,161,97,103,110,110,151,160,156,94,106,129,113,102,93,82,82,76,67,53,145,158,157,159,159,160,160,161,161,162,97,105,106,127,166,152,158,145,63,97,103,93,87,71,75,70,61,55,149,157,157,159,160,160,160,162,162,163,98,104,108,158,155,154,153,162,124,50,79,89,78,60,69,66,59,54,147,159,158,159,160,162,162,162,163,164
16,140,146,150,151,156,161,166,170,174,178,182,185,188,190,191,194,195,197,199,201,202,203,205,206,206,205,206,207,141,147,150,152,156,162,167,171,174,179,183,186,189,192,193,195,197,199,200,203,205,206,207,208,207,207,207,209,144,149,151,153,157,163,168,172,176,181,185,188,191,193,195,197,199,201,202,204,206,207,208,209,209,209,210,210,144,150,152,155,159,164,170,174,178,183,186,189,192,195,197,199,201,203,205,206,207,208,209,209,211,212,213,213,145,150,153,156,161,167,171,176,180,184,187,189,193,196,198,200,202,204,206,207,208,208,210,210,212,214,214,214,147,153,155,157,163,168,173,178,182,186,188,199,198,200,208,200,199,205,208,209,209,209,211,212,214,216,216,216,150,155,157,159,164,169,175,180,183,189,203,236,225,233,235,205,181,180,202,211,212,213,213,214,215,217,218,217,150,156,157,160,166,171,176,181,183,222,242,251,248,249,235,206,176,148,143,174,202,214,215,216,217,219,220,219,151,157,158,161,167,172,177,183,208,248,253,253,249,239,221,193,157,141,123,121,137,173,209,218,218,219,220,220,153,157,159,162,169,175,177,206,247,252,253,250,236,218,199,168,144,143,123,124,119,120,150,205,221,221,222,222,153,157,160,163,169,175,177,224,248,252,251,242,219,190,164,140,135,135,126,133,123,118,115,141,207,223,223,222,153,157,160,164,170,176,180,233,251,251,238,221,196,159,134,125,114,134,132,138,128,122,117,114,147,220,224,223,154,159,162,165,172,178,182,238,255,242,213,190,158,131,113,90,81,135,135,138,131,124,118,117,115,155,206,226,156,161,163,167,173,179,181,235,255,242,208,162,124,99,58,38,72,131,136,141,130,123,120,120,101,58,119,227,158,162,164,167,174,180,181,227,255,244,202,141,108,69,27,29,71,130,144,146,129,120,121,112,66,42,126,231,159,162,164,168,174,180,182,212,254,239,184,124,94,65,40,54,74,117,159,141,127,119,116,77,43,41,167,234,158,163,165,168,174,181,185,202,249,224,161,117,105,100,80,86,90,132,177,128,124,116,82,37,43,46,196,233,159,164,165,169,175,181,186,203,243,198,137,122,122,115,107,100,104,184,173,124,118,81,28,32,40,58,213,232,161,164,166,169,177,183,186,216,239,176,136,130,123,121,119,102,162,210,164,124,87,35,31,41,32,74,224,233,162,165,166,171,178,185,186,223,235,156,156,117,86,97,100,116,224,217,161,111,61,40,41,34,30,101,234,234,162,165,167,171,179,185,187,232,216,135,176,116,91,94,87,129,242,229,173,92,54,41,33,32,33,145,238,235,161,164,167,171,178,184,195,233,172,146,188,118,108,112,101,122,232,231,182,80,46,37,31,35,36,169,239,235,160,163,165,170,178,183,194,190,156,190,182,119,119,122,118,112,188,220,180,80,35,32,34,38,40,168,239,235,161,164,167,171,179,185,189,191,194,204,173,121,125,128,123,101,101,152,124,50,30,33,37,40,43,172,239,235,162,165,167,172,179,185,190,194,198,205,166,124,123,122,101,67,44,45,43,35,36,37,38,39,43,175,240,236,163,165,168,172,179,185,190,196,200,205,160,119,114,104,69,43,41,43,44,45,43,42,39,38,37,136,241,237,163,166,168,173,180,186,192,197,201,206,163,122,105,87,57,48,54,56,57,56,51,46,41,40,37,136,241,237,163,166,170,173,180,186,192,197,202,199,150,123,107,90,68,60,64,64,65,61,55,50,44,42,38,154,242,239
24,174,177,178,179,181,181,182,183,182,182,183,182,182,181,181,179,176,175,173,173,172,168,166,166,161,159,158,156,176,180,181,182,183,184,184,185,186,186,186,184,183,182,181,182,180,178,176,175,173,171,168,167,164,162,160,159,178,181,184,184,185,186,187,188,188,189,189,187,186,184,183,183,181,181,180,176,174,173,172,169,166,164,163,161,180,182,185,191,187,189,190,191,191,192,191,190,189,187,187,185,183,182,180,179,176,176,175,172,170,167,166,165,180,189,179,153,192,192,192,194,193,194,194,193,192,190,191,189,186,185,183,182,181,178,175,174,173,171,167,166,180,197,164,91,151,202,194,197,196,196,196,196,196,194,192,192,190,188,185,184,184,181,179,177,175,173,170,168,184,191,155,105,89,193,197,198,199,198,197,197,197,196,195,193,192,190,188,185,185,184,182,179,177,175,173,170,186,193,183,127,71,150,209,197,200,200,203,204,197,197,197,193,192,195,195,189,188,185,184,180,178,177,176,179,188,192,197,156,85,94,205,201,202,202,182,183,206,201,200,202,200,181,176,197,190,187,186,184,182,174,146,130,190,193,198,186,130,76,153,214,202,187,137,98,172,186,133,133,179,147,96,147,199,187,186,187,175,150,106,101,192,194,197,202,162,92,82,204,204,171,158,125,95,138,110,67,101,143,92,62,182,195,189,177,160,125,86,168,192,194,197,203,184,115,78,150,215,162,178,152,102,93,118,79,106,143,97,56,171,202,178,146,144,85,110,189,193,196,198,202,203,166,120,99,190,144,165,169,122,75,114,93,116,147,96,69,190,200,130,120,123,60,152,189,195,199,201,202,206,199,135,101,138,138,127,174,133,91,81,80,110,146,86,95,214,169,103,125,97,83,187,183,197,200,202,205,207,209,165,154,138,124,104,143,145,95,60,56,72,100,65,76,203,118,105,127,72,152,195,182,198,201,204,207,208,210,205,179,138,99,78,80,144,117,91,46,35,59,47,42,94,95,117,102,81,193,188,185,199,203,206,208,210,210,213,180,117,97,87,73,117,156,137,64,15,59,72,98,105,113,121,75,127,202,186,185,200,202,208,210,210,212,214,186,156,133,91,78,109,152,122,72,53,89,128,134,130,109,99,62,174,198,191,188,200,204,208,209,210,215,213,204,180,140,92,84,103,141,122,130,122,120,136,132,124,98,53,97,203,192,193,192,202,206,209,209,212,217,214,200,193,156,120,94,79,132,176,171,164,148,140,128,114,74,58,187,199,194,194,192,202,205,210,211,214,216,217,198,192,165,134,98,86,124,183,181,175,156,137,120,102,43,147,211,195,196,194,192,202,207,210,211,215,217,220,199,178,161,145,106,101,135,176,170,160,144,125,110,68,87,210,199,200,198,194,193,205,208,211,212,215,217,220,205,169,167,153,121,108,137,160,158,154,130,106,86,49,179,208,201,201,200,196,194,206,209,210,213,216,217,217,220,189,166,153,130,98,118,145,144,139,111,90,44,132,216,201,203,200,198,196,195,205,209,210,213,218,218,217,221,210,180,154,126,92,101,125,123,112,90,48,112,217,206,205,202,201,199,197,195,204,208,211,214,218,219,218,221,215,178,148,116,102,103,117,113,94,55,74,221,210,207,207,204,201,201,197,195,205,209,212,216,217,218,220,219,212,183,152,137,128,121,121,114,80,39,161,222,208,209,206,205,203,200,197,194,202,207,211,212,214,217,221,212,206,195,174,149,125,131,125,102,60,69,212,211,210,208,206,204,202,200,197,193
0,167,168,167,167,167,167,167,166,165,165,163,164,163,162,161,160,160,159,157,156,155,154,153,152,151,150,147,147,168,169,168,169,169,168,167,167,166,165,164,165,164,164,163,162,161,160,160,158,156,154,153,151,150,150,149,149,168,169,169,169,170,169,170,169,167,167,166,165,165,165,164,163,160,159,159,157,157,157,154,153,151,151,150,149,170,170,170,170,171,171,171,170,168,167,168,167,170,170,165,166,167,162,158,158,157,157,157,155,153,152,149,149,169,172,173,173,172,172,170,169,172,172,168,154,124,135,170,148,133,150,166,162,163,161,155,158,155,154,151,150,172,174,173,174,173,170,170,162,140,151,165,133,100,70,118,120,88,68,140,134,119,145,162,151,154,154,153,152,174,174,173,174,173,172,171,152,120,95,128,147,104,69,80,131,97,61,61,103,70,53,134,121,118,160,152,151,174,174,174,174,173,173,172,168,143,113,83,144,113,78,79,136,105,67,66,120,92,41,65,118,86,162,152,152,175,175,175,174,173,177,168,160,149,124,70,127,120,82,79,135,108,68,55,115,93,48,37,107,78,153,156,154,176,175,175,175,174,179,165,124,150,105,59,129,116,74,72,127,97,59,38,92,74,39,33,108,65,119,164,154,177,176,176,176,175,174,138,97,144,86,56,121,93,52,64,113,84,47,42,107,85,29,38,114,90,68,152,157,176,176,177,177,178,175,152,121,142,97,71,113,93,49,62,115,84,36,84,131,93,20,44,114,105,56,102,168,177,178,177,177,180,171,147,121,125,107,75,119,113,52,80,132,97,40,112,139,64,14,91,123,105,47,88,168,178,180,180,179,175,146,115,97,83,67,61,131,111,47,89,139,102,44,15,49,8,53,128,126,88,35,133,161,180,180,180,180,175,149,119,91,63,51,48,80,86,43,38,87,66,39,45,11,36,120,129,113,52,76,168,156,180,179,181,177,168,148,123,92,68,67,69,61,70,67,51,55,91,124,131,114,97,123,113,83,36,141,164,157,181,181,182,177,168,151,127,98,71,63,71,78,96,109,115,133,144,134,121,122,92,97,100,44,68,171,158,160,182,182,182,180,171,153,130,108,81,71,73,88,120,134,146,148,141,127,117,110,81,73,79,22,128,169,159,160,182,182,182,180,174,153,135,114,92,91,77,115,151,150,151,146,136,121,112,105,72,58,35,59,172,164,163,160,182,183,182,180,177,159,141,123,108,105,110,147,157,153,153,145,131,117,105,90,60,29,35,152,167,164,164,162,182,183,182,180,178,160,145,131,119,113,141,151,156,158,151,134,124,108,92,73,33,25,147,171,163,164,164,163,182,184,183,177,174,165,151,136,121,118,151,152,158,156,143,122,109,98,79,47,16,137,174,163,167,166,164,162,182,184,184,176,172,168,154,141,122,117,148,153,149,144,127,108,94,82,54,15,125,179,165,167,167,168,165,164,184,185,185,179,172,170,159,150,133,119,143,150,138,128,112,94,77,51,13,113,182,168,170,168,167,167,166,164,183,183,186,182,176,166,158,151,141,127,141,140,127,112,100,80,49,12,110,182,169,172,169,169,167,166,165,165,183,183,186,180,173,163,169,164,151,135,136,131,110,98,87,52,12,116,186,171,173,173,171,170,169,167,165,165,183,184,185,178,175,162,172,165,145,131,126,121,98,79,63,21,119,188,173,175,175,174,172,171,169,168,166,165,185,186,183,175,168,153,167,153,138,130,120,104,87,69,31,77,190,175,176,175,175,173,172,171,168,169,168,166
24,181,183,186,186,187,188,189,189,189,190,189,189,189,188,188,186,185,185,184,184,183,181,180,179,178,176,175,175,182,185,187,187,188,189,190,191,191,190,190,191,191,189,189,189,187,187,187,187,184,183,183,182,182,179,179,177,183,186,188,189,190,191,191,193,194,193,193,194,194,193,191,190,189,190,188,187,187,185,184,184,183,182,180,179,185,186,188,190,192,192,193,194,194,193,194,194,194,194,193,192,192,190,188,189,188,187,187,186,184,183,182,181,186,187,190,191,191,190,194,196,196,195,195,195,195,195,193,192,192,190,190,190,189,188,187,187,186,184,183,182,187,188,191,189,204,176,152,201,195,197,197,196,196,196,195,194,194,192,191,191,191,190,189,187,187,186,185,184,189,190,193,190,212,155,135,204,196,197,197,198,197,196,196,195,195,194,192,192,192,191,190,189,188,187,186,185,188,191,193,194,209,133,150,205,196,198,198,199,200,197,195,195,195,194,193,193,193,192,191,190,189,188,187,186,191,193,193,200,206,132,160,206,198,200,198,197,193,200,199,196,197,196,195,195,194,193,191,190,189,190,188,187,193,194,195,204,206,129,164,213,200,200,206,204,172,144,198,200,196,197,196,196,197,196,197,194,190,190,190,189,194,195,195,205,192,148,169,180,204,167,167,206,189,142,125,198,200,197,198,196,187,174,166,187,195,191,191,190,193,198,196,209,203,208,202,173,219,172,128,195,200,154,91,147,207,198,195,176,139,123,109,140,200,193,193,190,194,199,198,208,207,228,203,195,219,187,124,188,194,143,92,112,200,197,189,149,111,113,139,168,196,194,193,191,197,199,199,209,202,235,208,206,226,181,109,150,159,118,75,87,178,198,172,127,109,179,201,198,195,195,194,193,198,202,199,213,230,232,200,209,234,169,115,63,114,149,123,133,175,175,140,111,165,209,197,198,197,196,195,194,198,202,201,219,225,213,180,166,200,142,99,96,184,202,188,177,173,145,110,136,206,200,202,200,199,197,196,194,199,200,207,216,192,195,170,130,126,130,174,221,216,197,182,163,153,136,111,191,205,202,203,201,201,199,197,195,200,200,211,231,203,189,175,158,124,220,237,222,212,194,167,150,136,124,153,211,202,204,202,201,202,198,198,197,201,199,218,237,213,191,174,184,226,243,224,218,207,181,155,134,131,124,199,209,205,204,203,202,202,200,198,199,202,200,227,241,218,205,205,232,244,235,227,213,194,167,137,133,114,152,215,207,208,205,204,203,203,201,200,200,202,200,232,242,223,213,229,244,243,231,223,201,176,147,133,123,123,204,210,208,209,206,205,204,203,204,202,201,204,201,232,248,227,215,234,241,227,209,202,182,153,137,125,119,192,215,210,210,209,208,207,206,204,204,203,201,204,201,226,251,230,213,223,226,217,192,180,161,139,128,123,192,218,210,212,210,209,209,207,207,205,204,203,202,205,205,218,233,217,212,227,229,217,194,178,152,128,106,182,222,213,214,212,211,211,210,209,208,206,206,204,203,205,207,211,218,211,219,225,217,213,186,166,141,101,131,221,215,216,214,214,212,212,211,210,208,207,207,204,203,205,208,210,224,233,224,219,207,209,182,157,127,92,178,223,216,217,216,216,213,212,211,210,210,208,206,206,205,205,207,209,236,235,210,217,206,195,175,154,116,103,206,221,218,217,217,217,214,213,212,211,210,209,209,207,204,203,206,208,243,233,200,223,201,185,176,148,119,106,209,219,216,216,217,215,214,212,211,211,210,209,208,206,204
24,73,83,91,96,100,106,109,111,115,118,120,124,127,130,132,133,134,136,138,139,142,143,144,144,144,144,144,144,76,84,92,98,103,107,110,113,117,120,122,128,129,132,133,136,138,139,142,144,145,146,146,145,144,144,146,146,78,87,95,99,104,108,111,115,119,121,125,129,133,134,135,138,139,141,144,146,146,147,146,146,147,148,147,148,80,88,97,103,106,111,112,116,120,123,127,131,134,136,136,140,141,144,146,147,147,149,151,147,150,151,150,151,82,90,98,104,108,111,115,117,123,126,130,131,134,135,137,141,144,145,145,148,151,153,152,151,153,152,152,153,84,92,99,106,110,121,106,120,123,127,130,134,136,137,140,144,145,146,148,150,151,152,152,152,153,154,154,152,84,93,100,102,132,129,58,117,126,129,132,137,138,141,144,145,147,148,151,151,151,153,154,155,156,156,155,158,86,95,102,104,157,93,56,123,127,131,134,138,141,142,145,145,149,151,152,155,159,159,155,156,158,159,158,158,89,99,99,123,158,67,75,130,127,134,140,139,142,148,149,148,149,152,153,141,112,130,160,157,159,159,159,159,88,100,94,150,144,50,96,131,132,127,117,140,139,117,134,155,151,157,122,76,49,60,160,162,161,161,161,161,90,100,101,176,118,90,111,112,158,130,71,109,140,102,75,134,163,143,80,42,44,109,165,161,162,163,163,162,93,98,113,180,119,174,128,98,156,127,58,116,127,105,57,82,181,120,61,41,135,169,162,163,164,164,163,163,94,94,135,176,161,184,139,99,148,113,48,109,115,81,40,126,155,94,44,90,177,160,164,165,166,164,165,166,96,93,151,175,159,208,139,91,140,105,38,26,92,85,94,141,102,62,43,149,167,165,167,168,167,168,168,167,98,93,163,193,153,193,131,75,148,85,60,77,127,135,114,106,90,40,86,176,165,169,169,168,168,168,169,169,96,108,178,176,149,168,111,56,141,149,161,166,138,110,87,73,77,40,136,176,168,169,169,170,170,170,170,171,88,142,153,133,116,138,122,89,175,198,176,154,126,98,70,61,56,57,170,171,171,171,171,172,173,173,172,172,94,182,157,126,103,103,125,184,205,187,175,156,117,85,59,57,37,103,183,170,174,173,173,174,174,173,173,173,124,205,158,133,117,90,126,212,187,173,161,131,102,72,52,49,31,144,179,174,174,175,176,177,175,175,175,175,166,209,159,149,137,150,191,201,178,155,142,112,82,62,50,46,38,156,179,175,175,175,176,177,178,178,178,177,191,210,171,160,148,179,193,175,155,135,125,96,70,56,50,40,61,177,175,177,177,177,177,180,179,178,178,178,195,221,182,162,145,164,176,161,148,121,115,84,62,48,45,30,126,183,175,178,178,179,179,181,181,179,179,179,181,228,187,172,153,158,172,165,140,119,106,75,54,41,21,87,182,176,178,179,180,180,181,182,182,181,181,181,152,217,181,165,164,153,151,158,127,102,89,65,38,25,96,171,175,176,178,180,182,183,183,181,181,183,184,183,134,195,185,169,171,152,131,148,127,96,78,50,16,96,181,173,176,178,180,181,182,184,184,183,184,185,184,185,123,190,187,170,157,150,123,138,120,95,72,27,50,167,170,174,177,179,180,181,183,184,184,185,185,186,186,185,124,200,190,162,139,149,123,124,113,88,71,24,97,180,170,176,178,180,181,183,184,184,185,185,186,187,187,186,132,200,191,152,128,153,119,114,115,85,63,29,107,179,170,177,180,181,183,184,185,186,186,187,187,187,188,188
13,221,223,225,227,226,228,230,231,233,232,233,234,234,235,234,234,235,234,234,234,235,234,234,235,234,233,233,232,221,223,227,227,227,230,233,234,235,234,235,235,236,237,237,237,236,236,235,235,234,234,235,235,234,235,235,235,223,226,228,229,231,233,234,235,235,236,236,237,239,239,239,239,239,238,237,239,235,235,236,237,237,236,237,236,225,228,229,230,232,234,235,236,236,237,237,239,241,242,239,241,239,244,246,233,241,236,239,238,238,239,239,238,228,229,231,232,234,234,236,238,238,239,239,239,241,240,241,241,242,255,255,200,215,248,234,241,241,241,240,240,228,231,232,234,235,237,239,239,240,241,241,241,239,243,243,239,254,255,246,187,210,255,205,191,243,241,242,240,230,232,234,235,236,237,240,241,241,241,243,241,244,255,254,226,255,255,255,180,228,255,208,146,210,249,241,241,231,233,236,237,238,240,242,242,243,244,244,237,255,255,255,230,238,236,213,144,232,254,198,139,186,255,242,243,232,235,237,238,240,242,243,243,243,245,245,255,250,255,255,254,194,143,149,136,227,218,153,124,194,255,244,246,233,236,238,240,242,242,243,245,245,242,255,255,238,224,255,255,217,138,131,172,238,207,165,134,199,255,247,248,236,237,238,241,243,243,244,248,245,250,255,255,255,202,254,255,214,162,105,143,247,255,255,178,202,255,247,249,236,238,241,242,243,246,247,249,243,255,255,255,255,231,194,243,203,156,112,167,245,255,255,213,208,255,249,252,237,240,243,244,245,248,249,248,247,255,255,255,255,236,160,212,232,160,166,255,255,247,228,217,189,253,251,252,238,241,244,244,247,249,250,247,255,255,255,250,239,200,138,188,251,194,255,255,255,250,220,199,176,250,255,252,240,241,244,247,248,248,251,248,255,255,255,254,227,198,154,129,230,255,255,255,255,243,213,176,195,255,253,253,242,244,246,249,249,248,253,250,255,255,255,255,216,213,182,156,255,255,255,255,255,223,202,165,215,255,254,254,242,244,247,249,249,250,252,250,255,255,255,255,249,223,246,255,255,255,255,255,243,219,194,159,227,255,255,255,243,245,249,250,251,252,255,252,255,255,255,255,255,249,255,255,255,255,255,255,238,211,176,159,246,255,255,255,244,247,249,251,251,254,255,252,255,255,255,255,255,255,255,255,255,255,255,255,236,191,155,191,255,255,255,255,246,249,250,253,254,254,255,255,255,255,255,255,255,254,255,255,255,255,249,246,209,164,152,248,255,255,255,255,248,250,251,254,255,255,255,255,253,255,255,255,244,237,253,255,255,255,247,225,181,133,191,255,255,255,255,255,249,251,253,254,255,254,214,203,200,193,177,163,158,155,156,161,173,166,167,165,145,154,255,255,255,255,255,255,248,251,254,254,255,248,181,182,182,173,159,153,148,140,132,127,110,101,99,95,93,114,194,255,255,255,255,255,250,252,254,255,255,255,191,181,183,170,159,156,151,140,134,125,116,109,103,95,91,90,77,153,255,255,255,255,251,253,254,255,255,255,197,178,178,167,159,155,148,137,129,121,112,104,99,94,90,96,79,189,255,255,255,255,249,252,254,255,255,255,201,180,177,167,166,158,145,134,126,120,112,103,98,93,93,78,150,255,255,255,255,255,249,252,253,255,255,255,203,175,178,165,163,156,142,128,121,117,110,103,98,94,91,91,247,255,255,255,255,255,249,252,254,255,255,255,202,174,173,165,159,150,138,127,120,117,111,104,98,94,81,139,255,255,255,255,255,255
24,183,183,183,184,183,184,184,184,184,183,183,183,182,181,179,178,177,175,174,173,171,169,169,167,164,162,161,159,186,186,186,187,187,187,186,186,186,186,186,186,185,183,182,182,180,178,176,180,176,173,172,170,169,167,163,161,189,190,190,191,190,190,190,188,189,190,191,190,188,186,185,185,184,183,179,147,170,179,175,174,172,169,166,164,191,192,193,192,193,192,192,193,192,192,192,192,191,189,188,187,187,185,187,114,130,188,176,176,174,172,170,167,194,195,194,195,195,198,199,193,194,194,193,193,192,192,191,191,189,189,194,115,123,190,179,179,176,175,172,170,199,198,198,199,202,173,177,202,196,197,197,197,196,194,193,193,190,194,194,111,128,194,183,182,181,179,176,175,200,200,201,201,200,150,107,197,202,202,201,200,200,198,197,196,192,201,191,104,144,196,184,185,183,180,178,178,202,202,202,202,201,162,98,153,213,201,204,204,202,200,200,199,194,208,186,104,160,198,186,186,184,182,180,178,205,205,204,204,209,183,119,116,216,202,204,206,203,201,201,201,203,208,163,95,178,196,190,189,187,186,183,180,207,207,207,206,209,198,141,90,202,208,205,206,210,207,204,195,198,212,140,90,197,195,193,193,190,188,185,183,208,209,208,207,209,206,171,94,163,220,207,208,183,184,207,173,114,151,134,117,209,195,197,194,191,190,188,185,210,210,210,210,210,211,184,113,114,221,210,192,163,140,155,149,111,89,99,148,211,198,199,196,193,192,190,188,212,213,213,213,212,217,190,139,88,199,210,186,181,153,142,130,157,122,56,176,210,200,200,198,196,195,193,189,215,215,214,215,214,217,201,174,111,148,192,181,190,150,154,153,161,117,67,198,207,203,201,201,198,195,194,191,216,217,216,216,215,216,211,194,127,103,143,153,208,155,114,118,146,139,74,180,214,206,203,201,200,197,196,194,216,217,218,217,218,219,219,198,162,145,127,126,187,161,80,54,167,161,87,124,222,204,206,203,202,201,197,194,219,219,219,219,219,221,220,203,207,159,108,83,163,138,76,48,144,182,136,73,188,211,206,205,205,202,200,197,221,221,221,221,222,221,222,208,199,135,106,86,157,125,67,89,198,199,167,74,135,222,204,206,205,203,199,199,222,223,223,223,224,224,225,216,197,169,158,106,151,150,89,172,211,189,146,69,142,221,205,207,205,203,201,200,223,224,225,225,225,226,227,220,200,196,169,116,134,122,151,224,196,172,130,56,171,221,208,209,207,204,202,201,223,224,225,225,225,224,227,222,192,207,180,149,108,128,213,219,191,159,121,65,195,219,209,210,208,207,205,202,224,224,223,224,225,226,227,223,196,192,183,166,118,138,215,205,182,152,105,74,208,214,210,209,207,206,203,201,225,225,225,226,227,228,226,228,196,182,180,178,140,127,204,204,171,138,85,87,220,211,211,208,207,204,201,198,226,226,227,228,228,229,228,232,203,184,185,180,167,123,190,201,162,120,61,126,229,211,212,210,208,203,205,208,226,226,227,227,226,228,228,230,219,192,190,179,180,111,155,179,129,92,43,174,224,211,212,209,209,218,195,153,232,234,235,235,235,238,237,238,235,197,196,181,164,121,120,146,111,68,63,215,219,216,218,222,207,166,88,47,155,159,165,170,174,178,182,186,189,202,193,170,155,143,111,137,116,49,130,225,210,211,194,144,89,48,41,41,104,105,106,106,104,104,103,98,114,205,199,184,178,154,128,139,102,56,100,116,112,100,75,44,43,48,40,39
4,135,136,138,139,140,142,144,147,148,150,151,152,152,154,156,157,158,159,160,161,162,162,162,161,162,163,164,165,134,136,138,140,141,143,145,147,149,150,151,152,154,153,155,157,158,159,161,161,162,162,163,164,164,164,165,166,135,137,140,141,143,144,145,148,149,150,151,152,155,155,153,153,157,159,160,161,162,163,164,166,166,166,166,166,135,137,141,142,143,144,146,148,151,156,153,145,145,163,156,135,129,156,157,160,162,163,165,166,166,166,167,168,136,139,141,144,144,144,147,149,150,156,164,147,113,137,158,126,98,115,133,126,152,165,166,167,167,167,168,168,138,140,142,144,143,149,172,163,141,114,151,145,106,109,148,119,86,93,118,94,117,168,168,168,168,168,168,168,138,141,143,144,143,164,190,173,131,99,133,143,106,92,143,138,86,90,123,99,104,168,167,168,169,169,169,169,138,140,144,146,145,174,169,173,137,102,114,152,114,74,136,150,96,94,137,105,103,168,168,169,170,171,170,171,139,142,144,145,148,180,155,152,150,114,86,146,117,55,105,158,130,109,125,108,110,150,169,170,171,171,171,172,141,143,144,145,152,180,154,136,126,98,64,93,97,53,77,146,140,125,120,119,120,116,161,171,171,172,173,173,142,143,146,145,159,179,158,139,122,103,89,79,97,85,87,127,141,137,125,118,125,123,140,172,172,173,174,174,143,144,147,145,176,178,153,130,119,106,93,95,114,103,110,125,133,126,115,132,151,135,121,170,172,174,174,175,143,145,147,149,185,172,148,125,111,96,91,103,117,114,125,140,127,105,128,164,160,143,115,161,175,175,175,175,143,146,147,156,193,171,148,126,112,99,96,106,116,125,134,148,150,151,150,152,148,137,112,141,176,176,175,175,144,147,147,162,196,173,153,133,113,101,98,109,123,136,143,155,167,166,158,148,133,117,102,115,176,176,175,175,145,146,146,168,199,174,157,139,117,103,103,107,128,145,160,167,170,163,157,144,128,109,92,101,174,177,177,176,147,148,145,173,201,175,161,144,128,114,110,112,137,162,175,174,167,156,150,139,123,104,88,108,177,178,178,177,146,149,146,177,203,181,167,153,141,122,117,130,149,175,181,175,166,153,142,131,115,99,86,141,180,177,179,180,149,150,148,173,204,189,174,162,152,137,128,144,154,173,178,172,165,153,137,120,101,87,101,171,179,178,179,180,149,149,149,166,207,195,179,165,156,145,137,146,157,173,176,168,164,154,135,114,92,83,143,179,178,178,179,180,149,150,150,158,207,198,179,163,154,146,143,148,160,173,174,162,158,153,134,117,90,112,175,179,178,178,179,180,150,150,151,154,205,197,175,166,158,152,151,154,164,169,164,156,148,144,134,113,96,159,181,180,180,179,180,181,149,151,151,155,206,192,175,175,167,161,158,156,162,164,154,147,139,135,125,101,137,179,180,180,180,179,180,182,150,151,150,159,206,186,179,181,174,171,165,157,159,160,150,141,132,120,104,126,174,180,179,180,180,180,181,182,150,151,150,165,207,194,183,179,174,176,168,155,152,153,146,134,120,101,113,172,179,180,179,180,181,181,182,182,149,150,149,172,209,201,180,174,175,179,168,149,144,144,139,125,108,91,154,178,178,179,180,180,181,181,181,182,149,150,149,181,208,202,180,171,176,175,163,145,137,139,133,117,95,111,178,178,178,178,180,180,181,181,181,182,150,151,149,186,209,202,178,170,173,171,158,143,135,141,129,109,87,138,180,179,178,180,181,181,181,181,181,182
4,185,185,186,186,186,187,187,187,187,185,187,187,186,186,186,184,182,178,180,179,179,177,175,174,172,171,170,168,188,188,190,190,190,191,190,190,190,189,189,189,192,189,187,187,187,190,185,182,180,178,178,177,175,174,173,170,194,193,194,194,193,194,193,193,193,194,193,190,187,195,194,182,146,133,182,190,189,187,181,180,180,178,176,175,197,196,195,197,196,195,195,195,195,194,193,173,139,141,192,186,144,86,118,187,138,151,188,183,182,181,179,177,200,199,198,199,200,199,198,198,198,198,204,207,172,129,113,178,169,118,65,138,128,69,136,197,181,184,182,181,201,200,202,202,202,202,201,202,200,192,186,191,202,170,105,105,177,144,68,105,143,76,63,195,186,187,185,183,204,203,203,204,204,205,205,207,194,178,175,115,144,168,86,60,173,142,68,78,146,98,47,188,190,188,186,184,206,206,207,207,207,206,207,206,199,194,182,114,82,141,74,51,145,101,39,107,153,107,64,197,193,191,190,189,207,207,208,207,208,209,208,210,188,131,169,136,74,112,120,49,101,82,22,117,116,56,87,211,193,195,194,192,210,209,211,210,211,210,210,209,207,131,111,171,116,87,157,61,70,107,101,107,60,8,118,215,195,198,196,194,212,211,210,211,212,210,209,213,191,107,72,156,123,145,155,127,131,129,168,125,45,13,171,207,199,200,197,196,212,212,213,213,212,212,211,215,191,156,151,111,44,170,155,139,153,135,149,113,57,46,206,204,202,202,200,197,214,213,213,213,214,214,214,213,207,186,134,82,36,78,122,106,111,106,98,96,82,43,167,216,202,203,201,199,214,214,215,215,215,215,213,211,209,170,114,66,52,49,75,90,90,83,70,113,103,64,68,213,205,204,204,202,216,216,216,215,216,217,215,212,198,145,97,62,58,85,92,132,145,138,112,122,124,111,41,140,222,202,205,203,218,219,219,219,219,219,216,208,199,161,115,73,75,85,119,173,172,192,174,138,177,141,67,62,217,206,206,204,220,220,219,220,220,220,218,205,199,165,117,68,69,98,145,188,189,204,211,184,161,139,63,55,215,209,208,205,220,221,221,220,220,221,220,196,197,179,128,80,79,101,150,199,200,211,198,176,148,102,36,102,227,208,209,207,221,220,221,221,222,222,222,190,196,190,138,100,91,95,163,207,213,212,186,158,132,79,25,173,223,210,210,208,221,221,223,223,223,223,226,190,187,192,152,109,94,102,172,215,213,201,174,145,121,54,55,221,213,213,212,210,222,222,223,224,224,223,227,196,169,178,153,114,95,111,185,211,197,187,160,126,102,32,125,232,211,214,212,211,221,222,222,224,223,223,227,215,164,178,162,119,110,118,192,197,184,171,141,107,73,32,198,225,216,214,212,213,220,221,221,222,222,222,222,226,182,176,168,138,135,113,186,184,180,151,120,92,34,89,234,215,217,215,212,212,221,221,221,222,222,221,221,228,202,170,170,156,135,101,160,171,167,134,94,62,23,188,223,213,214,213,212,211,222,221,223,223,223,223,223,227,213,177,166,146,127,103,134,146,130,96,64,15,113,235,215,217,215,215,213,212,222,223,223,224,223,224,224,228,216,186,170,144,122,106,118,131,101,65,30,38,215,223,220,219,216,215,214,212,222,225,224,224,224,223,225,229,202,189,171,150,132,122,115,124,105,62,13,125,239,218,222,219,215,215,213,214,221,222,223,223,224,223,226,224,182,187,176,166,161,143,125,113,94,50,26,185,230,221,220,219,218,215,215,203
8,225,225,225,225,226,224,231,192,157,228,224,224,225,223,222,220,220,219,217,215,214,212,211,210,208,207,205,203,227,226,226,226,226,226,224,164,106,226,227,226,226,227,226,224,223,221,220,219,218,216,215,213,211,210,208,206,228,227,228,229,228,231,212,131,119,240,228,229,229,228,228,227,225,225,224,222,221,219,218,215,214,212,210,209,232,231,231,232,232,227,197,96,165,246,229,231,232,232,231,229,227,228,227,225,223,222,220,218,217,215,214,212,233,233,232,233,234,227,172,79,218,238,232,232,232,233,233,230,231,231,228,227,225,224,223,221,220,218,217,213,234,234,234,235,235,228,167,90,231,237,236,239,242,235,234,232,231,233,231,229,227,227,225,225,224,220,218,216,237,236,235,236,237,225,153,97,239,239,237,208,192,242,239,237,239,233,233,230,225,230,226,227,226,223,221,219,238,238,238,239,239,217,143,89,237,242,222,182,121,160,191,146,200,244,233,235,176,206,234,227,228,225,224,221,240,240,241,240,240,221,188,105,209,243,218,206,165,93,136,129,106,198,156,177,184,142,246,229,229,228,226,224,240,241,241,242,243,225,211,134,182,241,215,225,179,110,106,137,111,177,143,107,188,140,176,248,230,229,226,225,242,242,243,242,244,233,203,163,167,202,209,230,187,116,89,111,150,184,130,87,166,179,105,180,238,230,228,226,243,246,244,243,244,237,215,205,180,179,158,209,189,130,81,80,162,169,112,70,128,200,154,96,183,243,228,227,245,247,245,246,247,237,232,198,165,154,151,170,200,134,71,75,168,151,103,49,124,215,165,81,173,247,229,228,247,248,249,247,249,239,216,166,133,112,114,132,218,175,98,82,169,133,76,31,175,217,133,85,232,235,231,230,248,249,249,248,249,236,220,189,153,106,91,72,197,233,146,88,171,120,48,83,190,190,90,156,251,232,234,232,249,250,249,249,250,228,223,206,156,97,93,85,185,219,148,97,141,127,142,151,194,139,81,227,242,236,234,233,250,250,250,251,249,223,229,207,151,112,89,108,219,166,82,115,150,164,172,128,151,90,115,255,236,239,236,233,250,251,252,252,249,228,230,198,165,120,98,125,196,183,179,208,200,172,160,104,100,54,191,252,239,239,237,234,250,251,252,252,248,229,226,207,168,115,111,172,227,227,241,224,191,167,139,90,48,139,254,241,242,240,239,237,251,250,251,252,248,219,226,216,167,121,137,211,234,234,235,208,179,151,118,50,122,255,246,244,243,241,240,238,249,249,252,252,249,221,218,211,178,132,159,221,228,245,226,191,164,137,68,102,252,246,243,243,241,241,238,236,251,251,252,253,253,228,219,209,180,133,168,215,210,218,196,170,145,87,83,241,248,242,242,242,242,240,237,234,253,252,252,253,252,229,222,213,176,146,167,209,195,190,158,137,90,67,226,255,243,245,243,243,242,241,239,235,252,252,252,253,250,230,217,201,182,165,165,203,187,168,139,85,56,210,255,246,250,249,244,242,240,239,238,240,251,251,250,253,243,226,213,206,202,178,165,190,171,141,100,56,201,255,248,251,249,247,243,243,244,247,252,222,255,255,255,255,232,222,217,217,199,177,177,188,152,107,54,182,255,249,255,252,251,255,255,247,229,209,161,98,169,175,181,184,200,232,229,220,197,178,180,169,127,74,89,236,234,238,238,240,240,212,160,119,84,68,48,49,112,114,115,107,187,240,226,206,188,182,159,144,111,64,85,122,128,132,133,133,115,78,49,48,42,41,49,41
10,60,85,70,26,40,62,70,76,82,92,105,114,120,126,131,134,136,138,141,144,147,149,151,152,155,156,157,158,65,87,66,25,43,64,71,77,83,93,106,115,121,127,131,135,138,139,141,145,148,150,152,153,155,157,158,159,74,89,60,24,48,65,72,77,85,95,108,116,123,129,133,136,143,139,133,145,149,151,153,154,156,158,160,161,85,91,54,25,51,67,73,78,85,98,110,117,125,130,134,138,152,138,118,141,150,152,154,156,157,159,161,163,92,91,48,28,55,68,74,80,87,100,112,119,126,131,135,140,157,143,114,138,151,153,155,157,159,161,163,163,96,90,42,31,58,69,75,81,89,102,113,121,127,132,136,140,156,146,112,132,152,155,157,159,160,162,164,164,99,89,37,34,60,69,75,82,90,104,115,122,128,133,137,141,154,151,117,123,152,156,158,160,162,163,165,165,102,86,33,38,62,70,76,83,92,108,117,120,128,134,138,141,151,153,121,112,149,157,159,161,164,165,166,167,105,82,30,42,64,71,77,84,96,122,116,104,121,134,139,142,148,153,126,104,140,158,160,162,165,166,167,168,107,76,28,45,65,75,89,90,100,129,114,90,105,132,139,143,148,160,138,101,127,157,161,163,165,167,168,169,108,70,27,49,67,88,116,94,89,118,122,97,90,124,140,144,150,170,150,105,115,155,161,164,166,167,169,171,107,62,27,53,68,87,106,84,73,99,130,111,86,108,137,144,150,168,147,108,107,152,162,165,167,169,170,171,105,54,29,57,69,77,86,82,74,90,129,116,86,83,112,136,150,158,141,110,100,147,163,166,169,171,171,173,103,48,32,61,70,76,82,87,87,95,131,122,90,72,77,105,134,141,134,113,97,141,164,167,170,172,173,174,100,42,35,64,72,77,83,90,100,116,148,139,105,77,65,71,95,113,122,112,96,136,165,168,170,172,174,175,94,36,38,65,72,77,84,92,112,141,164,153,122,88,67,59,70,89,106,105,91,128,165,169,171,173,174,175,88,32,42,67,73,78,84,102,147,165,167,160,137,105,78,65,70,85,96,96,83,118,164,170,172,174,175,175,80,30,46,69,74,79,84,114,169,174,168,163,149,122,90,72,71,80,89,87,78,117,164,170,172,175,176,176,71,28,50,70,74,79,85,113,168,169,168,168,153,126,92,72,67,73,82,79,79,131,168,171,173,175,176,177,61,27,53,71,75,80,85,103,142,140,167,170,148,122,90,73,68,74,81,77,96,152,170,173,174,175,177,178,51,27,56,72,76,81,86,97,123,131,173,166,140,119,94,78,71,75,78,79,121,164,171,173,174,175,177,178,41,29,60,72,76,81,87,100,143,164,181,164,137,115,97,82,75,74,75,89,144,168,172,173,175,176,178,179,31,31,62,72,76,81,87,109,167,184,181,158,134,108,95,85,77,72,74,110,160,170,173,174,175,176,178,180,25,34,64,73,76,81,87,119,179,187,174,149,128,102,91,85,78,71,83,138,167,171,173,175,176,178,179,181,18,36,66,73,76,81,88,120,181,185,166,139,120,97,87,83,78,71,104,157,169,171,173,175,176,178,180,181,15,40,68,74,77,82,88,122,181,180,160,134,116,96,85,79,73,73,125,165,170,171,173,175,177,179,180,181,15,44,70,74,77,83,89,121,171,170,161,141,123,100,83,74,66,78,139,166,170,172,173,175,178,180,181,181,17,46,70,74,78,83,90,114,156,165,166,153,132,104,82,69,62,86,148,167,170,172,174,176,178,180,181,182
0,186,186,188,188,189,189,189,190,190,190,189,190,189,189,189,189,189,188,187,187,188,187,185,184,184,185,184,183,188,189,189,190,191,191,190,190,190,189,189,192,190,190,191,190,189,189,190,189,188,190,188,184,185,187,186,185,190,192,193,193,193,194,193,193,191,193,192,192,191,192,193,195,191,190,191,192,190,184,177,189,187,187,187,187,193,195,195,193,194,195,195,195,194,194,195,195,194,194,178,160,183,188,167,154,186,191,127,185,189,188,188,188,194,195,194,194,195,196,197,197,196,196,185,167,187,207,182,142,120,175,164,140,123,172,139,142,199,188,188,188,194,195,195,196,197,197,197,196,197,212,190,148,155,209,182,165,116,168,171,162,117,107,178,125,158,191,192,190,194,197,196,198,198,197,200,176,168,217,194,172,157,206,183,172,114,174,175,157,126,78,159,160,126,132,194,190,195,197,197,198,196,204,216,191,146,186,212,176,148,213,191,167,103,181,173,137,132,60,112,177,155,96,169,197,197,198,199,200,197,213,214,204,181,144,215,181,135,208,195,162,100,152,159,117,117,50,123,189,170,111,153,201,198,200,199,200,205,206,203,212,188,123,192,191,129,181,195,148,99,101,132,109,99,52,159,193,173,114,144,204,197,199,200,198,206,192,156,183,162,109,154,175,122,136,162,122,104,70,97,116,89,76,172,188,167,110,135,204,198,199,201,200,203,206,166,171,139,91,125,149,111,98,130,109,89,59,131,171,150,145,164,175,160,105,131,205,199,202,203,202,206,217,188,176,140,105,111,131,112,80,110,126,123,166,194,181,172,161,143,149,153,110,121,205,201,203,204,202,212,213,184,162,145,120,87,139,139,68,116,190,204,206,193,178,165,152,136,126,136,117,115,203,202,203,204,201,219,228,207,188,163,131,106,134,133,139,199,215,208,198,188,174,160,146,127,118,121,108,129,205,204,204,206,203,220,230,214,192,171,165,164,161,181,210,216,208,202,191,182,169,153,135,119,113,116,100,174,205,205,205,207,203,225,236,216,194,178,173,172,186,201,206,212,208,194,189,174,159,147,127,113,118,103,150,206,201,204,205,209,206,226,240,222,206,194,184,186,198,206,209,210,198,190,185,164,151,137,120,117,105,121,206,203,203,205,205,208,204,224,240,229,214,198,189,187,199,210,208,201,187,180,174,157,140,126,119,113,99,182,208,202,203,205,206,208,206,218,239,236,223,202,187,182,187,193,189,190,175,160,160,141,129,125,115,98,162,210,203,205,204,208,208,209,210,211,233,231,218,202,186,179,185,188,190,188,171,153,150,131,122,115,108,163,209,203,206,207,205,208,209,210,210,208,220,219,204,192,175,178,185,180,189,182,167,157,145,128,110,110,180,211,206,206,206,206,206,208,210,210,211,211,216,204,200,196,185,197,189,166,183,180,160,147,136,115,95,179,214,206,207,206,206,207,207,209,211,211,211,211,215,212,218,210,201,198,190,158,173,179,155,138,127,91,139,218,206,210,209,208,208,208,207,210,211,211,211,211,217,228,226,215,191,190,186,152,171,166,149,134,114,91,188,216,209,211,210,208,209,209,209,210,211,212,212,211,209,236,226,212,183,185,182,157,164,153,146,132,101,104,209,211,211,211,209,209,210,210,209,210,211,212,212,212,206,230,219,204,178,187,189,155,147,151,141,129,98,116,218,210,213,211,211,210,211,210,209,210,210,211,212,211,208,229,210,196,177,187,185,144,153,149,137,126,96,118,218,211,212,212,212,211,211,211,209
0,189,189,189,189,188,188,188,188,187,186,184,186,185,183,182,181,181,180,178,177,176,175,174,172,172,170,168,168,189,191,190,190,190,189,189,189,188,186,186,187,186,185,184,183,182,181,181,179,177,175,174,172,171,170,170,170,190,191,190,191,191,191,191,191,189,188,187,187,186,186,186,184,181,181,180,179,178,178,175,174,172,171,170,169,192,192,192,192,192,193,193,192,190,189,189,189,192,191,186,188,188,184,179,179,178,178,178,176,174,173,170,170,191,194,194,195,194,193,191,191,194,194,190,175,143,155,192,169,153,171,188,183,184,182,176,179,176,175,172,171,194,195,195,196,195,192,192,184,160,172,187,153,119,87,137,139,106,85,160,154,138,166,183,172,175,175,174,173,196,196,195,195,194,194,192,172,139,113,148,168,123,86,97,151,115,78,77,122,87,70,154,140,137,181,173,172,196,196,195,196,194,195,194,190,164,132,101,164,132,96,97,156,124,84,82,139,110,56,81,137,103,184,173,172,197,197,197,196,194,199,190,181,170,143,87,147,140,99,96,156,126,85,71,134,111,64,53,126,96,174,177,175,198,197,197,197,196,201,186,143,171,124,75,149,135,92,89,146,115,75,53,110,91,55,48,126,81,138,186,175,199,198,198,198,197,196,158,115,165,103,72,141,111,68,81,132,101,63,58,126,102,44,53,133,108,85,173,178,198,198,199,199,200,197,173,140,162,116,88,132,111,65,79,134,101,51,101,151,111,35,59,133,124,72,121,189,199,201,200,199,202,192,168,140,144,126,92,138,132,68,98,152,115,55,131,159,81,28,109,142,123,63,106,190,200,202,202,201,197,166,134,116,100,84,78,151,129,63,107,159,120,59,29,65,22,69,147,146,106,50,153,182,202,202,202,202,197,170,138,109,79,67,63,98,104,59,54,105,83,54,61,25,51,140,148,132,68,93,189,177,203,202,203,199,190,168,143,110,85,83,86,78,87,84,67,71,109,143,151,132,116,142,131,100,51,161,185,178,204,203,204,199,189,172,147,116,88,80,88,95,114,128,134,153,164,154,140,141,110,115,118,59,84,193,179,181,204,204,205,202,193,174,149,126,99,88,90,105,140,154,166,169,161,147,136,129,99,90,96,37,148,191,180,181,204,205,204,202,195,174,155,133,110,109,94,134,172,171,172,167,157,140,131,124,88,74,50,75,194,185,184,181,204,205,204,202,199,180,161,142,127,124,128,168,178,174,174,165,150,136,124,108,76,44,50,173,189,185,186,183,205,205,204,202,200,182,165,151,139,132,162,172,177,179,172,154,144,127,110,90,48,40,167,193,185,186,185,184,204,206,206,199,196,187,172,156,140,137,172,172,179,177,163,142,128,116,96,63,30,157,196,185,188,188,186,184,205,206,206,198,194,189,175,161,142,136,169,174,170,165,146,127,112,100,71,29,144,201,186,189,188,189,186,186,206,207,207,201,194,192,180,170,153,139,164,171,158,147,131,112,94,66,27,132,204,190,191,190,188,189,187,185,206,206,209,204,198,187,180,172,161,146,161,160,146,130,119,97,65,26,129,204,191,194,191,191,189,188,187,187,205,205,208,203,195,184,191,185,172,155,156,151,129,116,105,68,26,135,208,193,195,195,193,191,190,188,187,187,206,206,207,200,197,183,193,187,165,151,146,140,117,96,80,36,138,211,195,197,197,196,194,193,190,190,188,187,208,208,205,197,190,174,188,174,159,150,139,122,104,86,46,94,213,197,198,197,197,195,194,193,190,190,190,188
15,121,120,123,121,126,128,129,132,134,143,156,166,174,179,185,190,192,195,198,203,206,209,211,214,215,218,220,222,120,121,121,120,124,126,123,129,134,145,156,165,174,180,186,191,192,196,199,202,205,210,213,214,216,219,221,223,122,121,122,121,124,124,141,129,130,145,157,167,176,181,186,192,193,195,200,205,206,210,214,215,219,222,225,225,122,121,121,124,109,165,227,180,149,144,151,165,177,186,190,195,195,195,198,204,208,211,215,217,219,222,223,224,123,121,120,124,111,168,231,215,202,188,170,171,165,178,188,194,197,198,202,206,208,210,215,219,220,221,223,225,122,122,122,123,123,125,179,182,177,196,194,195,182,173,168,174,179,185,194,203,212,217,219,218,220,222,225,227,121,122,121,122,126,124,128,143,144,163,174,180,200,194,185,180,177,180,179,171,175,182,201,226,221,225,226,228,121,122,121,122,123,127,128,129,136,146,150,145,175,183,182,175,179,195,204,188,163,147,127,190,229,223,227,229,122,123,122,123,125,129,130,130,135,147,157,160,166,170,168,162,157,194,203,206,182,171,137,116,209,231,225,230,120,122,122,123,125,127,129,129,134,148,159,169,178,181,180,172,172,208,205,206,193,189,167,140,133,223,231,229,121,122,122,122,124,125,128,131,135,145,154,168,176,187,195,186,219,219,192,198,213,196,190,171,129,139,229,231,122,122,123,122,125,125,128,131,135,145,176,175,177,176,183,214,226,210,162,201,213,195,216,185,150,112,155,240,121,123,123,123,125,125,129,132,126,175,218,192,200,194,171,187,185,152,132,193,192,190,226,192,154,131,108,181,121,122,122,122,122,125,127,130,130,170,193,200,226,225,184,151,165,142,106,180,170,198,219,192,162,138,119,115,121,120,120,121,123,126,127,130,133,146,165,181,219,218,177,177,186,175,165,166,171,183,190,181,160,136,120,117,120,120,120,119,121,125,125,127,134,147,159,174,186,171,170,192,190,182,189,193,177,142,137,155,145,132,119,115,119,118,118,119,120,121,122,124,133,149,159,163,177,186,154,176,192,194,200,203,179,137,119,129,130,127,128,118,117,116,117,119,120,120,121,123,132,146,159,163,189,253,166,119,123,179,190,195,172,132,123,129,127,128,131,125,115,116,116,117,117,119,122,123,132,147,157,162,186,240,171,110,68,103,166,180,155,133,132,130,127,129,133,130,116,116,116,117,117,119,121,121,132,147,157,162,182,230,159,99,122,85,113,164,132,125,128,134,135,132,132,129,115,115,115,116,117,118,121,121,130,146,157,162,182,229,149,117,137,113,129,154,168,146,145,144,140,137,131,127,113,113,114,113,115,117,119,120,129,142,153,164,176,235,131,132,163,138,180,135,179,160,151,142,135,132,129,124,110,110,111,111,112,114,117,118,127,142,153,160,184,245,113,139,228,103,201,188,152,125,128,127,127,127,128,127,114,111,113,114,113,112,115,115,124,139,152,158,181,196,105,158,229,100,183,219,158,156,163,103,107,112,109,111,171,169,167,164,160,160,163,163,165,165,167,168,179,157,135,189,177,139,193,197,201,208,207,137,99,102,102,104,138,136,135,133,134,135,139,142,137,136,134,130,134,133,139,143,140,141,143,142,144,140,143,140,114,114,124,130,138,137,137,135,135,135,136,134,133,137,135,132,133,136,136,137,135,136,139,138,136,134,135,137,137,144,150,142,139,138,138,138,136,138,140,137,138,139,143,141,140,143,139,138,141,141,143,141,142,141,142,144,142,145,181,153
12,181,182,182,181,181,183,183,182,182,179,178,178,178,177,177,177,175,175,175,172,172,170,169,169,169,169,167,166,184,184,183,183,183,184,184,183,183,182,181,181,180,179,179,178,177,176,177,176,175,174,171,171,171,171,169,168,186,186,186,185,186,186,186,186,186,184,184,184,181,182,181,179,181,179,179,177,177,176,176,174,172,172,171,170,189,189,188,188,188,189,188,189,190,188,186,186,184,185,184,186,182,181,182,184,181,176,177,176,175,173,172,171,190,190,190,190,190,190,190,190,190,190,188,189,187,176,150,159,187,183,173,162,171,184,178,177,177,176,174,174,193,192,190,191,193,193,192,192,192,190,190,190,190,177,154,113,163,184,162,137,111,165,187,181,180,178,177,176,196,195,193,194,195,195,194,192,193,193,192,190,198,193,169,139,111,155,178,149,107,117,188,170,180,182,179,178,196,196,195,195,195,195,196,195,195,195,192,196,201,203,180,157,110,109,187,156,124,95,123,137,125,171,184,179,197,197,197,197,197,197,198,198,196,197,199,198,184,195,188,155,130,93,170,162,136,89,85,132,104,116,190,181,199,199,199,198,197,197,199,199,198,188,180,191,182,187,182,151,119,79,158,161,136,88,79,124,102,79,180,186,199,199,199,198,199,199,200,197,196,173,139,150,176,170,177,139,105,84,169,155,129,83,77,117,97,74,178,188,201,200,200,200,202,203,200,192,197,180,162,143,141,132,179,148,114,96,176,144,122,80,89,126,99,89,193,186,202,201,202,202,204,204,201,198,198,193,180,169,123,101,180,178,128,104,176,148,116,83,120,138,90,124,199,187,204,204,204,203,204,203,204,190,170,189,190,174,145,112,175,176,125,108,189,168,117,109,145,127,82,161,196,188,206,205,205,204,205,202,206,192,145,153,189,177,153,105,128,155,105,127,201,163,111,136,167,129,89,183,194,190,207,207,208,207,207,204,210,208,176,109,136,172,132,93,75,90,68,94,167,146,103,162,179,124,130,198,191,192,208,207,209,210,207,207,200,184,157,118,93,156,116,95,81,83,72,91,123,97,102,203,174,110,132,205,192,194,209,208,209,211,208,203,206,195,176,148,100,128,129,111,100,98,98,151,175,155,152,161,135,87,90,203,194,194,210,209,210,210,209,201,211,205,184,145,111,112,138,132,105,105,161,182,185,168,173,151,94,74,94,202,195,195,211,211,210,210,211,200,211,212,189,154,137,120,129,138,122,165,206,199,194,163,161,154,112,74,132,209,195,196,211,210,210,211,211,201,208,212,192,169,145,132,131,152,189,206,213,206,193,161,150,140,104,75,176,205,197,196,212,212,212,213,213,203,203,207,192,172,146,138,136,167,211,209,209,199,180,154,139,125,93,89,204,201,199,197,214,215,215,214,215,203,197,200,193,173,146,145,139,178,214,207,203,189,167,149,131,116,77,129,213,199,201,200,215,216,215,214,217,204,196,201,192,171,149,149,144,191,209,207,196,175,158,146,124,101,82,191,207,202,201,201,216,216,216,215,217,208,195,198,196,180,158,146,145,196,202,203,189,167,150,135,118,78,121,215,202,204,203,202,216,216,216,216,218,213,197,197,196,188,165,144,142,190,195,192,176,157,139,121,105,71,179,212,205,205,204,203,218,217,216,216,218,217,197,197,194,182,159,145,140,175,185,177,162,140,124,109,76,108,215,206,209,206,205,204,217,216,217,218,219,216,198,196,191,176,155,145,143,164,175,166,150,131,110,93,72,184,214,207,208,207,205,205
10,68,70,72,76,82,86,93,107,118,127,133,137,140,145,150,153,157,161,162,164,167,167,169,171,171,170,172,173,68,71,73,76,82,86,94,109,121,129,137,140,142,147,150,154,158,159,161,168,167,169,169,172,173,171,172,173,68,72,74,79,83,87,96,112,123,131,139,141,143,149,152,157,157,169,169,143,171,170,171,173,174,174,174,173,67,72,75,80,85,89,99,115,125,134,140,142,147,151,155,161,154,199,185,92,159,177,174,176,177,176,176,176,68,73,76,80,86,90,101,117,127,136,142,145,149,153,157,162,159,186,194,111,121,186,176,179,180,179,179,179,69,75,78,80,86,91,103,118,129,139,144,148,153,157,161,166,165,177,203,129,92,175,183,183,183,183,183,183,71,76,79,83,87,91,105,121,131,141,147,149,154,159,163,167,173,172,203,158,98,152,191,184,186,186,186,185,71,76,79,84,88,92,107,123,133,142,148,150,155,162,166,171,174,174,200,182,111,124,197,186,189,189,189,188,72,77,80,86,89,93,110,125,135,145,150,151,157,162,169,170,194,180,113,158,129,99,191,193,193,193,193,193,74,77,81,85,89,96,113,128,138,147,151,154,161,167,171,172,210,146,82,122,190,100,175,201,196,196,196,196,74,78,82,86,90,97,114,129,139,149,152,156,163,167,176,175,204,137,98,86,210,111,150,207,198,200,200,198,75,79,82,87,91,99,116,130,141,151,154,160,163,176,166,188,228,162,149,94,144,131,123,210,200,203,202,202,76,79,82,88,92,100,118,132,144,153,156,153,182,234,185,210,193,186,177,117,85,126,106,205,203,205,205,205,78,79,84,88,92,101,119,133,145,154,161,170,186,255,220,222,149,137,183,144,87,93,89,186,210,206,207,206,79,80,85,88,92,102,120,134,149,145,219,246,169,181,228,232,172,81,162,180,121,82,67,162,217,206,208,208,79,81,84,89,93,103,122,137,151,149,229,255,193,96,163,237,163,85,98,183,146,100,61,139,219,208,211,212,79,81,85,89,94,105,124,138,152,159,192,164,204,181,113,160,105,58,61,151,159,121,75,122,220,210,212,213,79,81,85,90,95,107,125,139,153,159,205,144,170,201,94,114,130,48,106,161,158,144,95,106,218,212,213,214,80,82,85,90,95,108,126,141,157,155,220,201,135,114,97,137,141,131,208,192,163,153,111,100,210,217,215,215,80,83,86,90,95,110,129,144,158,158,220,197,163,142,128,139,151,230,231,182,168,146,113,107,209,218,215,216,80,84,87,90,95,112,129,145,160,158,245,236,198,153,149,164,255,255,207,163,146,133,114,118,215,218,217,218,80,83,88,90,95,113,129,145,161,157,246,252,203,166,181,205,255,241,198,165,131,119,108,136,224,218,220,221,82,83,87,91,95,113,131,147,163,157,254,255,200,200,191,218,255,228,185,159,130,112,102,161,228,218,220,221,82,84,87,91,96,114,133,149,163,159,243,247,210,220,198,248,255,209,169,143,123,113,102,177,229,220,221,222,82,84,88,91,97,115,133,149,165,159,223,245,237,228,223,255,231,184,153,129,116,113,108,202,226,221,223,223,82,84,89,91,97,116,133,149,165,160,198,255,255,227,206,223,206,165,137,121,116,102,128,225,223,224,225,225,81,85,89,90,98,118,136,151,164,168,175,248,238,212,188,191,187,169,144,129,117,91,158,232,224,225,226,229,81,84,89,91,100,120,136,153,164,170,168,214,213,195,184,188,184,187,160,127,112,85,178,233,224,226,228,230
19,78,82,88,93,102,110,116,122,126,128,131,135,138,141,144,146,149,150,152,153,155,158,158,160,161,161,163,163,78,83,88,93,103,110,117,123,127,130,132,135,139,142,145,149,150,151,154,156,157,159,159,163,163,164,165,165,80,85,90,96,105,113,119,126,130,131,134,137,140,143,146,150,152,154,157,158,160,161,162,164,165,166,167,167,81,86,93,98,106,115,121,127,131,133,136,139,143,147,150,153,156,158,158,160,163,164,166,166,168,168,168,169,81,87,93,98,108,116,123,129,133,135,137,141,144,149,151,155,158,161,159,162,164,165,166,167,169,169,176,162,82,88,94,100,109,118,125,130,134,136,139,142,147,149,162,160,137,150,164,164,165,168,168,169,169,186,194,109,82,88,94,101,111,119,127,132,136,137,141,144,148,149,195,167,127,102,157,166,167,168,176,179,188,188,135,94,82,89,95,102,112,120,128,134,137,138,142,147,149,149,184,184,137,119,160,178,171,175,187,185,167,125,100,151,83,91,95,103,114,121,128,135,138,139,147,142,148,155,170,183,174,178,177,173,164,149,161,148,108,111,157,180,85,91,96,104,116,123,130,136,137,166,181,148,140,146,160,167,160,152,143,147,133,114,112,115,144,176,179,178,86,91,96,104,115,124,132,137,140,196,168,151,151,157,167,167,156,143,139,125,126,95,159,177,182,180,181,181,85,92,96,106,116,124,132,135,153,184,145,142,150,165,171,168,164,156,135,96,91,107,185,181,180,182,182,181,87,93,98,107,117,124,133,132,170,178,153,150,156,155,146,140,143,127,109,88,73,132,186,180,182,183,183,183,88,94,99,108,118,126,133,136,208,194,173,169,168,161,158,150,134,90,83,84,75,155,186,183,184,184,185,185,88,94,99,110,121,129,136,141,208,190,170,155,146,153,155,147,122,86,78,86,84,169,184,183,185,186,187,187,88,94,100,111,120,129,137,142,190,181,155,134,112,108,125,123,117,90,81,85,107,184,184,184,185,186,188,187,89,94,100,112,121,130,137,141,180,179,155,109,93,68,63,99,121,94,84,89,106,188,185,185,186,187,188,189,90,94,100,113,123,132,139,140,178,182,155,111,80,46,87,118,120,89,83,83,86,177,187,185,187,189,190,190,90,94,102,114,123,132,141,135,175,184,156,124,99,69,72,82,75,67,74,83,85,169,189,187,188,189,190,190,91,94,103,114,124,133,142,134,178,187,158,131,103,89,77,62,62,72,79,84,88,172,191,189,189,190,191,190,91,94,104,115,125,135,143,134,179,185,157,129,106,96,94,79,70,73,79,83,95,180,189,191,192,192,192,192,92,96,105,117,126,135,142,135,169,178,152,127,105,96,93,81,72,78,83,84,114,191,189,192,193,192,192,192,91,96,106,118,128,135,144,136,167,172,148,121,103,95,91,83,78,83,88,83,149,194,192,193,193,194,195,195,90,96,107,118,128,137,144,142,172,168,143,117,101,93,92,89,86,87,85,104,184,191,192,193,194,195,195,195,91,96,108,118,128,137,142,145,181,167,139,113,98,94,96,92,87,84,113,174,190,190,192,193,194,195,196,196,92,97,109,120,129,138,142,148,179,161,140,119,102,97,96,93,85,106,180,189,189,191,194,195,196,196,196,196,92,97,109,120,130,139,142,157,171,154,137,120,103,92,88,87,80,145,188,189,192,193,194,196,196,197,197,198,91,97,108,120,131,140,143,175,170,150,128,111,95,84,81,83,83,161,188,190,192,193,195,196,196,197,199,200
18,189,189,189,189,190,191,192,192,191,191,192,192,191,191,190,189,190,190,191,191,190,189,187,186,184,184,182,180,189,190,191,192,191,191,192,192,193,193,192,192,192,190,191,191,191,191,191,191,190,188,188,188,186,184,183,184,191,192,193,193,193,194,193,193,192,192,193,192,192,193,193,192,192,194,191,193,190,188,188,188,187,185,184,184,193,193,193,194,195,196,194,194,193,192,194,193,194,193,192,194,193,200,186,181,194,190,189,189,187,187,186,185,193,194,195,196,195,196,196,197,195,194,195,195,192,195,196,194,193,220,188,148,178,194,192,190,191,190,188,186,196,197,198,197,196,197,196,197,197,197,198,195,211,212,181,190,221,230,209,162,165,189,188,192,190,189,188,188,197,197,198,197,197,199,199,200,196,199,197,212,238,214,177,158,204,220,225,212,213,200,156,156,191,188,188,190,198,199,198,198,199,199,201,197,203,224,190,207,237,207,183,150,202,200,226,225,224,209,157,111,173,194,190,191,199,200,200,201,201,200,196,204,238,231,187,160,230,203,175,156,216,188,190,218,229,205,150,103,142,198,190,190,199,198,199,200,198,201,196,234,245,230,193,160,230,209,173,156,219,201,157,222,240,207,142,99,128,201,192,193,201,201,201,201,203,197,217,243,242,235,198,156,227,217,175,160,225,198,165,238,243,206,137,92,144,204,191,193,203,204,204,204,202,203,243,225,230,241,206,159,220,213,173,148,203,180,164,242,238,196,131,90,174,202,194,195,204,205,203,205,203,227,242,218,217,223,199,152,186,196,168,120,146,139,188,245,224,180,124,107,201,197,197,196,205,204,205,202,213,245,225,189,195,188,155,117,147,170,133,80,160,198,225,237,211,169,113,152,207,197,198,197,206,207,208,204,217,245,228,191,171,167,132,95,165,166,107,174,238,236,220,206,196,156,112,189,205,199,198,198,207,208,210,203,228,245,228,203,161,152,134,87,181,154,194,245,238,229,201,179,178,137,110,199,202,203,201,199,207,208,211,207,238,244,230,210,185,156,144,133,127,192,245,241,238,221,187,160,154,112,141,213,201,203,201,201,209,210,210,212,245,244,235,217,199,170,157,157,185,245,243,242,231,205,168,145,137,93,169,213,204,204,204,202,211,211,209,216,245,244,239,226,213,183,177,198,236,245,241,238,224,188,153,136,111,118,204,207,206,205,205,204,211,212,208,217,245,244,243,233,222,202,193,216,241,241,234,225,214,175,142,128,94,178,216,206,207,206,206,204,210,211,208,214,245,244,245,238,224,207,201,210,240,235,223,220,187,165,130,104,117,212,209,208,206,207,207,204,210,211,210,213,245,244,244,235,220,206,204,207,229,220,208,209,175,144,115,86,170,216,207,209,206,208,206,207,211,212,211,213,244,244,240,227,212,199,200,206,218,204,196,194,171,124,97,106,209,209,208,208,209,207,206,215,210,213,210,215,245,228,217,215,201,190,192,198,216,198,186,178,146,106,74,163,220,209,210,209,208,207,208,167,214,215,214,224,245,228,220,216,205,204,194,198,222,186,163,147,116,72,107,214,211,211,209,210,214,218,158,95,164,156,143,186,236,230,227,220,220,225,191,195,216,165,137,117,78,76,202,215,211,211,215,211,187,149,105,94,118,117,110,114,121,122,126,129,137,155,142,159,168,135,112,91,55,170,224,219,219,219,184,131,105,90,85,77,137,106,106,109,102,97,90,83,72,67,67,70,71,64,60,58,51,82,104,131,180,179,96,97,101,95,86,76
2,174,173,175,174,174,175,175,174,174,173,173,173,173,173,171,171,171,170,169,168,168,168,165,105,64,63,61,62,177,176,177,176,177,177,177,177,176,176,176,177,175,175,173,168,171,171,171,172,172,170,169,130,67,65,57,65,179,179,180,179,180,180,179,180,180,180,180,179,178,179,165,121,124,155,148,172,175,173,172,147,71,54,44,63,182,182,183,184,183,183,184,183,183,181,183,184,178,151,114,89,73,101,88,146,172,175,174,161,83,43,44,68,185,185,186,187,186,186,187,186,185,192,195,182,120,88,73,68,63,75,69,76,150,177,177,174,106,40,41,60,188,188,188,188,188,188,187,187,189,199,184,133,79,65,59,56,53,59,65,68,149,179,180,179,130,107,81,55,190,190,191,192,191,191,190,188,196,201,133,82,58,52,58,55,49,57,63,84,168,183,182,181,160,116,162,150,193,192,192,193,193,193,192,188,206,184,107,70,57,49,52,60,70,94,133,167,184,186,186,183,149,131,188,168,195,195,195,194,194,195,194,195,207,157,95,65,69,59,66,78,142,183,188,189,187,187,186,186,156,151,181,131,196,197,197,197,196,196,195,208,194,137,83,62,65,64,90,159,190,192,192,192,191,190,189,188,177,162,130,124,198,198,198,198,200,197,200,215,185,131,91,73,60,70,143,196,196,195,194,194,193,192,191,190,188,178,133,176,201,200,199,200,201,199,212,219,174,123,90,81,67,71,168,198,198,196,196,195,195,193,193,193,190,185,176,168,202,201,200,202,201,200,224,209,161,109,84,79,76,88,193,200,199,198,197,196,195,194,195,194,194,189,186,188,202,202,202,202,200,203,227,197,154,107,81,73,77,114,202,202,201,200,199,198,198,197,197,196,195,193,185,169,204,204,204,203,196,219,220,185,143,101,81,73,77,125,204,202,202,200,201,200,200,198,198,197,197,196,195,163,207,206,206,203,203,227,210,172,131,95,80,76,73,144,205,203,202,202,202,202,201,199,198,197,197,197,196,193,206,206,206,197,215,227,201,162,121,92,74,67,68,121,200,205,206,204,203,203,199,187,175,165,162,178,197,196,207,208,208,196,227,222,191,153,114,90,67,65,73,80,132,205,207,204,194,175,160,162,157,146,132,112,182,197,208,209,201,211,229,216,181,141,107,88,58,66,78,83,87,146,173,160,153,162,160,152,138,125,129,134,185,199,209,208,199,227,226,207,168,132,100,81,56,80,89,98,101,104,114,136,156,158,141,116,116,166,197,201,202,201,211,204,218,231,222,197,160,126,96,80,65,92,104,110,110,110,117,132,136,124,113,121,185,205,205,204,203,203,204,213,227,223,212,189,150,114,91,81,78,99,113,114,113,105,104,109,113,149,187,201,206,207,206,206,205,203,201,218,224,217,205,175,136,104,89,81,92,108,117,112,101,96,92,133,192,208,209,209,208,208,207,207,206,206,212,217,215,201,180,147,116,96,89,84,98,107,111,98,94,116,166,207,214,213,211,210,211,210,208,207,206,206,210,210,198,177,156,131,107,93,87,90,96,102,101,92,137,203,213,214,215,214,212,211,212,210,209,208,207,206,208,198,177,153,141,115,98,93,92,92,93,94,101,152,209,216,217,215,215,215,214,214,213,211,211,210,209,208,201,188,158,126,114,95,91,95,92,93,95,134,189,215,216,217,217,216,216,216,215,215,215,214,213,211,210,203,195,177,141,109,89,86,90,93,89,127,180,213,218,218,219,218,217,217,217,216,216,216,215,215,214,213,211,183
18,118,125,130,137,147,155,163,172,177,178,180,183,189,193,197,199,205,206,207,208,210,211,214,215,216,218,219,224,121,127,130,138,148,158,165,173,177,180,183,181,190,189,195,203,201,202,211,213,211,213,214,216,217,218,221,224,123,128,131,140,148,158,168,171,175,183,176,202,217,160,141,182,222,191,158,204,218,214,217,217,218,222,223,224,122,128,134,143,153,160,163,177,220,169,150,230,209,179,158,211,242,184,136,118,203,220,217,219,222,225,225,227,122,129,133,144,150,161,154,238,246,171,159,245,192,201,207,222,198,170,168,119,129,227,217,220,223,225,228,228,124,130,133,139,168,190,151,248,234,189,181,214,193,190,191,193,159,175,174,160,106,192,226,222,225,227,228,229,125,130,136,138,254,215,159,159,251,199,191,144,180,154,162,148,146,196,182,176,139,125,229,224,226,227,230,232,127,133,123,184,255,227,201,147,218,229,183,122,184,173,122,82,179,208,200,194,172,114,156,237,226,230,232,234,126,134,122,222,245,244,230,173,147,231,187,130,144,216,158,79,128,200,206,218,181,148,105,188,239,229,230,233,127,133,128,223,180,233,221,173,109,173,180,128,101,167,145,79,108,207,236,227,186,153,128,121,234,229,232,234,127,131,137,243,172,185,174,129,99,110,133,110,76,105,83,169,245,229,218,212,183,157,134,118,226,237,234,236,128,127,145,255,212,206,167,109,90,86,110,99,51,63,186,255,239,224,206,181,163,146,125,140,239,233,235,237,129,123,170,255,203,187,165,117,79,74,118,94,41,163,255,255,241,216,193,158,137,132,112,181,243,234,237,238,131,118,186,255,230,205,177,137,97,94,107,93,148,255,255,255,237,202,178,150,129,120,114,223,237,236,239,239,130,120,177,255,248,233,213,179,158,160,147,169,245,255,255,248,218,187,162,140,124,106,147,242,234,238,239,241,131,124,171,255,255,239,210,185,179,183,179,228,255,255,255,227,201,174,153,133,122,104,192,242,236,240,241,242,132,127,165,255,255,239,215,200,199,194,207,243,255,254,229,207,188,163,144,132,119,115,228,237,239,240,241,242,130,130,152,255,255,246,225,217,211,211,225,240,243,238,203,187,170,152,134,128,105,152,241,234,238,241,242,242,129,136,135,255,255,255,245,229,216,212,218,226,219,216,191,171,156,142,130,125,104,210,239,235,236,241,242,243,128,138,133,219,255,255,255,244,217,201,188,198,195,192,181,155,141,133,127,105,145,241,235,237,238,242,244,244,130,137,141,172,255,255,255,248,216,190,177,177,183,186,175,149,135,129,123,95,198,240,235,237,239,241,243,244,130,137,148,147,237,252,230,225,209,185,172,172,174,182,178,154,138,132,107,119,233,233,236,239,242,242,244,246,129,136,149,150,185,253,221,204,188,169,172,177,158,173,174,151,131,129,94,158,241,232,238,240,242,243,245,245,128,135,150,160,163,230,203,188,186,175,197,192,157,163,172,151,130,124,91,180,242,233,238,241,242,244,245,246,127,136,150,161,158,207,209,198,206,191,190,192,160,149,164,151,133,122,84,163,247,234,238,241,242,245,245,245,123,135,148,158,160,189,235,216,212,191,180,187,163,142,154,147,131,125,90,133,243,232,237,240,241,243,245,245,124,135,147,157,165,174,254,236,219,195,177,182,170,143,138,142,132,123,102,102,234,234,237,240,241,242,244,244,124,136,145,158,167,170,251,248,219,194,172,176,175,139,133,143,130,120,108,93,218,237,238,240,241,243,244,244
20,142,145,148,151,153,156,159,160,162,163,164,164,164,163,163,164,164,164,164,163,161,159,159,158,156,155,154,153,143,146,150,153,155,158,161,162,164,165,166,166,168,155,154,165,166,165,165,164,163,162,160,159,158,158,157,155,145,149,152,155,159,162,164,165,167,168,169,170,178,144,132,158,164,167,167,167,165,164,163,162,161,160,159,158,148,151,155,158,161,164,166,168,169,171,171,174,185,146,129,140,149,168,169,169,168,166,165,164,164,163,162,161,150,153,158,161,164,166,169,171,173,173,174,176,186,150,144,144,132,167,172,171,171,170,168,167,166,166,165,164,153,156,160,163,165,168,172,174,175,176,176,180,192,160,152,154,126,162,174,174,173,172,171,170,170,169,168,166,156,159,163,166,168,171,174,176,178,178,179,183,197,166,154,165,128,158,177,176,175,174,173,172,172,171,170,169,159,162,165,168,170,173,176,178,180,180,180,186,198,163,154,172,132,153,179,179,178,176,175,174,174,173,172,171,161,164,167,170,173,176,178,180,185,187,176,183,200,165,156,177,137,149,180,181,180,179,178,177,176,175,174,172,162,165,169,172,175,178,181,185,189,195,178,166,170,151,149,182,144,146,180,182,182,181,180,179,178,177,175,174,164,167,171,174,177,179,188,199,178,171,182,161,139,125,128,167,143,143,180,184,184,183,182,181,180,179,178,177,166,169,172,176,179,182,194,194,176,160,180,181,173,152,125,134,130,137,181,187,186,185,183,182,181,180,180,179,167,171,174,178,181,184,193,187,165,147,152,168,181,178,135,105,105,127,180,188,187,186,185,183,182,182,181,180,169,172,176,179,183,186,194,198,171,133,109,109,134,175,155,106,85,117,180,189,189,188,187,185,184,183,182,182,170,174,178,182,185,188,195,207,180,136,104,95,110,170,179,130,87,109,178,192,191,190,189,188,187,185,183,182,172,176,180,183,187,189,196,208,182,142,115,115,136,185,199,157,106,105,174,194,193,191,190,189,188,187,185,183,174,178,182,185,189,192,199,213,189,148,128,129,164,206,202,163,119,106,172,195,194,192,191,190,189,188,187,185,175,179,183,187,191,194,201,217,195,157,139,144,186,213,189,148,111,106,175,196,195,194,193,192,191,190,189,187,176,181,184,188,192,195,202,218,201,169,152,156,199,209,173,130,98,114,183,197,197,195,195,194,193,192,190,188,178,183,187,190,193,196,201,214,202,173,161,163,202,201,161,119,91,119,189,199,199,197,196,196,195,193,191,188,180,184,188,192,195,197,201,210,202,179,169,166,197,189,147,110,86,124,192,201,201,199,198,196,195,194,192,190,180,185,189,193,196,198,201,207,205,188,178,166,189,174,133,100,84,135,197,202,201,201,200,198,196,196,194,192,181,186,190,194,197,199,202,206,208,192,177,159,175,157,120,94,87,153,201,204,203,201,200,199,198,197,195,193,182,186,191,194,197,200,203,208,211,190,164,148,162,142,119,96,103,176,205,206,204,202,201,201,200,198,196,194,183,187,192,195,199,202,204,210,216,195,166,155,158,135,121,97,134,197,207,207,206,204,203,202,201,200,197,195,183,187,192,196,199,202,203,212,219,204,182,169,152,127,113,99,165,206,208,208,207,205,204,203,202,201,198,196,183,186,190,195,199,202,202,210,211,194,184,169,143,118,100,111,185,208,208,207,206,204,203,203,202,201,199,197,182,186,191,195,199,202,201,211,204,182,173,159,131,107,91,125,195,209,208,207,206,205,203,202,201,200,199,196
7,176,178,180,181,183,183,185,186,186,187,186,186,186,186,185,185,185,184,185,183,182,181,180,179,178,177,176,176,178,180,181,182,184,185,187,187,187,188,188,188,187,187,187,186,186,184,184,185,184,182,181,180,179,179,178,178,179,181,183,184,186,187,188,189,190,191,190,189,189,189,189,188,187,187,186,186,185,184,183,181,180,180,179,179,181,182,184,186,187,189,191,191,191,191,191,191,192,191,190,189,188,188,187,186,186,185,183,183,182,181,180,180,182,184,187,188,189,191,193,193,193,193,193,193,193,192,192,191,190,189,188,187,187,186,185,184,184,182,182,181,184,186,189,190,192,194,195,196,196,195,195,194,194,194,194,193,192,191,190,190,188,187,187,185,185,184,183,182,186,188,191,191,194,196,197,198,198,197,197,197,197,197,197,196,195,194,193,193,191,189,189,187,187,186,184,183,187,189,192,194,195,191,179,172,179,184,179,171,171,171,177,178,176,173,175,166,168,183,185,188,189,187,185,185,189,191,194,194,191,177,151,130,129,139,148,141,135,126,139,154,153,143,148,132,152,182,165,187,190,188,186,185,190,191,190,187,180,170,159,145,119,107,121,128,129,117,123,137,138,134,130,127,137,159,152,186,191,190,188,187,187,184,178,172,172,175,174,151,106,92,106,117,111,92,97,97,104,111,107,104,110,120,154,189,179,187,190,188,179,175,174,173,166,159,165,138,90,93,104,120,120,107,96,104,133,149,141,127,134,139,169,198,153,176,192,190,177,173,170,164,155,150,152,142,105,81,83,99,107,116,111,104,133,150,143,133,133,133,130,145,146,187,193,192,175,167,161,157,155,153,154,152,124,80,57,59,76,93,97,97,111,112,114,109,115,125,138,160,188,196,194,193,169,162,156,153,152,151,150,142,114,78,58,68,129,121,117,124,137,149,158,170,186,195,198,200,198,197,195,195,161,155,149,146,141,140,137,129,105,74,60,62,157,208,202,204,207,208,206,205,204,202,201,201,200,199,197,195,157,152,147,146,144,143,141,135,114,75,59,62,94,207,211,210,210,209,207,205,204,204,203,201,200,200,198,196,157,155,149,148,144,143,146,144,118,77,64,62,70,192,214,211,210,209,208,207,206,206,205,202,201,201,199,198,162,163,158,149,141,132,134,131,108,83,74,66,60,159,216,212,210,209,209,208,208,207,206,204,203,201,200,199,163,162,158,146,137,126,120,112,95,85,83,73,59,99,212,214,213,211,210,209,208,207,207,205,204,203,201,199,156,152,141,127,118,109,103,94,84,81,84,74,64,117,214,214,213,212,211,209,208,208,207,206,205,203,201,200,139,135,118,99,90,90,93,76,71,79,85,106,153,193,215,213,212,211,210,209,208,208,207,206,205,203,201,200,96,104,95,85,109,147,184,161,132,139,169,201,216,215,215,214,214,213,211,210,209,208,207,206,206,205,201,200,30,38,42,118,202,212,215,216,215,215,218,218,216,216,216,215,215,214,213,212,211,209,208,207,206,205,203,202,8,9,29,177,214,214,215,215,216,217,217,217,218,216,216,216,215,214,214,213,211,209,208,208,207,206,203,202,13,7,100,209,213,214,215,216,218,219,218,218,219,217,216,216,216,214,214,213,211,209,209,208,207,207,205,204,23,23,176,213,212,214,215,217,218,218,219,219,218,217,216,216,215,215,214,214,212,210,210,207,199,193,183,171,26,29,173,199,197,199,201,201,202,202,201,201,200,201,199,197,196,196,196,195,193,190,178,143,106,89,72,58
20,163,165,168,169,171,173,173,174,175,175,175,175,174,174,173,172,171,171,170,169,168,166,165,163,163,161,161,160,164,166,169,170,172,174,175,176,177,177,177,177,176,175,175,174,172,171,170,158,164,168,167,165,165,164,163,163,165,167,170,172,173,175,176,178,178,178,179,178,177,176,177,176,173,173,175,127,132,171,169,167,167,166,165,164,166,168,170,172,174,176,178,178,179,180,180,178,178,178,178,177,175,177,175,117,114,151,163,169,168,167,166,165,167,169,171,173,175,177,178,179,181,181,180,179,179,179,178,178,177,182,168,110,88,113,129,171,169,167,166,166,168,171,173,175,176,178,180,181,182,183,182,181,181,180,180,180,178,188,163,103,105,126,115,170,170,169,167,167,169,172,174,176,177,180,181,182,184,184,184,183,182,181,181,181,180,191,158,104,137,133,113,170,172,170,169,168,170,173,175,178,179,181,183,184,186,186,185,185,184,184,183,182,182,189,149,107,157,139,117,171,173,172,171,170,171,174,177,179,180,182,184,185,186,187,187,187,187,185,183,184,186,184,139,117,166,135,123,174,175,173,172,171,173,175,178,180,182,183,184,186,187,188,187,188,188,180,153,158,192,182,133,135,170,127,126,178,176,175,174,172,174,176,178,181,182,184,186,187,188,189,188,188,187,184,147,116,165,168,123,150,175,123,132,180,178,177,175,174,174,177,180,182,183,186,188,189,189,190,189,194,191,187,177,144,123,113,95,146,163,116,143,181,180,178,177,176,175,178,182,184,185,186,188,189,191,192,191,200,195,192,199,180,134,88,70,119,136,109,153,183,181,179,178,178,177,180,183,186,187,188,190,192,193,192,196,186,153,176,179,178,139,95,80,96,104,99,163,183,181,179,179,178,178,181,184,186,188,189,191,193,193,193,202,176,129,156,155,173,158,114,85,81,87,95,170,184,182,180,180,178,179,181,184,186,188,190,193,194,193,194,205,183,146,124,107,151,172,131,93,78,80,99,177,185,183,181,181,180,180,182,184,186,188,191,194,195,195,196,194,159,131,108,81,118,183,147,108,84,77,108,183,185,184,183,182,181,181,182,185,187,189,192,194,196,195,202,192,158,141,120,104,160,190,155,128,95,80,120,187,186,186,185,182,181,181,183,186,188,190,192,195,196,196,206,190,165,140,125,164,204,182,151,136,102,85,129,189,187,186,185,183,182,181,184,186,188,190,193,195,196,199,213,196,161,136,153,211,193,164,139,128,103,92,143,190,188,187,186,184,182,182,184,187,189,192,194,197,198,205,221,190,151,145,183,217,185,155,126,113,102,98,163,190,189,188,187,185,183,182,185,188,190,193,194,196,198,207,217,174,163,149,198,210,180,152,125,101,98,108,179,191,190,188,188,186,184,180,183,187,189,192,193,195,196,207,208,187,177,151,206,200,169,142,121,101,96,125,187,190,189,188,187,185,184,180,182,186,188,191,194,195,196,202,209,204,172,166,204,182,153,129,111,100,97,149,191,191,189,188,187,185,183,181,183,187,189,192,193,195,195,199,207,198,169,157,184,168,139,118,103,97,105,173,193,191,189,188,187,185,184,180,184,187,190,192,194,195,196,199,198,179,162,152,165,161,136,119,103,92,125,188,193,192,189,188,187,186,185,180,184,187,189,192,194,196,196,197,189,173,165,164,163,166,149,117,99,91,148,193,193,191,189,188,188,187,185,180,183,186,189,192,194,196,197,197,197,190,188,179,167,162,149,113,95,95,166,194,191,190,189,188,187,186,185
2,178,177,178,178,178,179,179,178,177,176,176,177,177,177,175,175,174,173,172,172,172,172,174,111,72,76,73,75,180,179,180,180,180,181,181,180,179,180,180,181,178,178,179,174,179,178,178,175,176,173,179,138,74,80,68,77,183,182,183,183,183,184,182,183,183,184,183,182,182,186,176,124,129,165,155,180,179,176,180,155,78,66,54,75,185,185,186,187,186,187,187,186,186,183,186,188,188,160,120,97,78,110,93,152,181,178,179,170,92,52,59,83,188,188,189,190,189,189,190,189,187,193,201,192,126,93,82,78,76,86,80,77,156,186,178,186,114,38,49,73,191,191,191,191,191,190,190,190,191,203,193,141,84,75,72,68,65,71,80,70,151,189,180,188,139,118,92,59,193,193,194,195,194,194,193,188,198,210,137,85,70,64,72,67,60,66,66,89,177,188,184,187,165,126,174,157,196,195,195,195,196,195,195,188,211,193,111,77,69,62,65,70,76,103,139,176,191,189,187,195,144,126,204,179,197,198,197,196,196,197,195,197,215,162,101,76,82,73,74,80,150,197,197,194,190,190,188,197,153,155,197,130,198,199,199,199,198,199,196,211,199,142,89,71,80,73,96,170,200,194,193,194,194,193,191,192,182,167,129,126,200,200,200,200,202,199,201,220,190,138,100,84,73,73,151,212,195,197,196,197,196,194,193,192,193,184,133,185,203,201,201,202,203,199,214,224,178,129,99,94,79,75,173,205,199,198,199,198,197,195,195,196,193,189,183,170,203,203,202,204,204,199,226,214,165,115,93,91,84,97,201,202,201,200,199,198,198,197,197,196,197,191,189,195,204,203,203,205,200,204,232,200,159,115,90,85,81,124,211,202,203,202,201,200,200,199,199,199,197,196,188,171,206,205,205,206,195,220,225,188,148,110,90,86,81,130,214,202,203,202,203,202,202,199,199,199,198,197,201,163,208,208,208,203,204,231,211,177,138,103,90,90,75,156,217,201,204,204,203,203,204,203,203,202,203,202,198,198,208,207,210,196,215,232,203,167,128,101,85,80,72,128,215,206,206,205,206,208,204,189,178,169,165,186,203,198,208,209,210,196,228,224,195,158,122,100,78,75,87,81,136,219,214,210,198,178,162,166,162,153,134,105,184,204,208,212,200,211,232,218,185,147,116,98,69,77,90,95,87,151,182,163,154,165,166,163,144,126,136,136,187,205,211,208,198,230,228,210,172,138,110,90,66,92,99,108,112,105,115,140,166,169,150,114,115,170,204,209,206,203,214,203,218,234,223,200,164,133,106,88,75,104,114,120,119,120,127,144,144,124,113,123,193,215,206,204,204,204,203,213,231,223,214,193,156,121,101,90,87,111,122,123,122,115,116,111,113,152,192,210,211,207,208,207,206,204,201,220,224,218,210,181,142,111,100,89,101,120,126,122,112,101,92,135,200,217,214,210,209,210,208,208,208,207,213,218,218,204,184,153,122,105,99,92,108,118,121,109,95,119,171,217,219,213,211,211,212,211,209,208,207,207,212,212,201,181,160,138,114,103,96,100,107,114,111,89,141,214,220,215,215,215,212,212,213,211,210,210,209,207,210,201,180,158,149,124,107,102,102,104,102,97,100,157,220,218,216,216,216,216,215,215,213,212,212,212,211,210,203,193,163,132,122,103,100,105,103,99,97,139,198,225,216,217,218,217,217,217,216,216,216,215,214,212,212,205,198,181,147,115,97,95,101,105,95,134,187,224,224,217,219,219,218,218,218,217,217,217,216,216,215,214,214,185
0,193,195,197,199,201,203,203,204,205,206,208,208,209,209,209,209,208,209,210,208,207,205,205,204,204,204,204,203,194,196,198,201,202,203,205,206,207,208,209,209,210,210,210,210,209,210,210,210,208,206,207,207,205,204,205,203,196,197,201,202,203,205,207,209,208,211,212,212,211,211,212,212,209,209,210,211,210,209,207,207,207,205,206,205,196,197,199,202,202,203,207,208,209,211,211,212,212,215,212,213,213,213,209,212,211,210,209,208,206,205,208,207,196,200,201,202,203,206,209,209,212,217,213,210,203,194,212,211,192,194,212,209,210,210,212,208,209,207,208,208,197,200,202,203,205,208,209,209,208,184,197,230,194,144,148,214,176,119,171,229,212,192,171,217,209,210,210,210,198,201,203,204,205,209,207,215,216,177,135,213,215,162,111,215,184,128,108,172,182,206,132,194,219,209,211,211,200,202,204,204,207,209,206,233,232,211,143,138,223,155,118,219,180,135,79,126,152,211,177,139,196,217,209,211,201,202,205,206,211,208,220,223,218,218,153,96,203,163,128,224,184,113,113,172,126,201,203,173,139,183,218,211,202,204,206,208,211,207,234,201,194,207,125,101,199,149,135,214,165,89,131,176,94,182,229,197,145,101,216,213,202,205,208,209,208,208,240,209,196,185,99,121,192,125,125,188,147,82,130,172,105,218,238,191,126,97,215,213,204,206,208,211,208,226,232,196,189,179,113,123,170,111,106,164,135,68,135,156,150,223,205,169,86,151,227,212,205,208,210,211,208,242,234,187,145,157,113,107,170,113,94,172,113,93,178,167,184,188,161,125,84,207,219,217,205,209,209,212,210,243,232,203,168,115,63,116,200,121,100,194,175,195,183,168,142,159,134,81,132,228,215,218,206,209,210,211,215,245,221,203,188,159,104,101,138,99,107,221,217,194,171,160,118,118,118,68,180,227,216,216,206,208,211,210,223,249,223,203,188,177,135,95,113,145,213,229,213,184,162,146,109,97,93,76,215,222,217,218,208,209,212,209,228,251,229,207,190,186,152,119,125,193,236,225,204,173,150,128,96,92,61,145,232,218,217,219,209,210,212,210,227,249,234,211,193,187,163,125,132,209,238,217,196,164,138,109,89,68,93,224,220,220,218,218,209,210,212,213,221,249,236,216,198,182,163,125,165,216,225,206,191,155,122,94,78,63,193,229,221,222,219,219,207,210,214,214,220,249,234,220,203,179,158,144,196,211,197,197,179,141,103,85,54,156,235,222,222,222,223,222,210,211,216,211,223,250,237,232,204,178,168,176,209,183,179,180,160,123,93,58,115,233,223,225,225,224,224,224,210,212,215,207,239,248,240,239,209,187,175,186,198,163,173,162,136,105,71,78,222,228,226,226,225,224,224,224,211,212,210,214,247,234,236,232,195,183,182,182,166,163,164,147,122,85,68,196,233,225,225,226,225,224,223,223,209,212,206,226,225,205,220,212,180,179,180,166,158,155,138,127,93,63,176,233,223,228,225,225,224,223,223,223,210,207,204,233,208,183,184,182,170,169,171,155,144,140,121,99,69,156,227,225,227,227,225,225,223,223,223,223,214,194,219,231,188,175,166,157,155,180,169,126,133,133,101,62,154,229,224,229,228,227,227,226,225,224,224,225,204,195,242,221,171,155,162,138,147,181,145,111,135,118,68,126,226,228,227,228,227,228,227,226,226,225,225,225,189,222,239,216,167,140,148,128,150,164,129,113,123,83,82,209,227,228,229,228,227,228,227,227,227,226,227,224
2,20,30,44,68,79,87,96,101,102,107,112,116,119,123,126,128,131,132,133,136,136,136,137,138,137,138,138,137,21,32,48,70,80,89,97,102,105,108,112,116,122,127,127,130,133,133,134,137,139,139,140,140,139,141,141,141,22,33,51,72,83,91,100,104,106,112,111,119,119,108,124,129,130,135,138,143,141,141,142,143,142,143,142,142,24,34,55,75,85,94,102,105,107,112,120,163,148,123,119,111,113,131,124,124,142,144,144,145,144,144,144,144,27,37,60,76,87,94,100,107,115,101,138,164,157,169,167,137,102,87,104,78,81,143,149,144,145,145,145,145,29,38,62,77,88,96,95,153,160,145,147,134,115,112,131,160,131,71,37,81,120,99,134,150,146,147,147,147,27,39,63,78,90,90,124,184,151,157,167,166,149,104,58,65,131,107,48,45,105,47,98,158,146,149,149,149,30,42,66,80,91,92,163,131,105,117,127,117,131,142,99,91,78,109,121,94,36,70,140,149,148,150,150,150,32,45,67,82,87,109,148,142,143,132,109,91,124,118,126,133,82,37,102,97,39,139,154,148,149,151,152,151,34,45,71,83,96,158,159,162,151,141,135,128,133,67,36,67,41,64,70,53,84,151,149,150,149,153,153,151,34,48,74,77,152,166,130,115,90,61,69,72,54,34,15,26,116,151,144,137,153,151,152,154,152,153,154,153,33,52,70,100,183,122,70,43,16,11,14,14,25,23,13,36,153,146,151,155,152,156,158,149,150,159,154,154,35,55,64,150,156,90,48,12,0,15,12,10,22,20,7,26,148,149,149,152,160,131,92,79,74,114,158,153,38,49,103,187,108,57,26,12,9,9,9,17,16,9,2,8,143,153,152,160,105,60,72,83,84,52,141,160,42,45,153,166,86,53,35,24,8,5,11,14,10,8,16,0,109,163,160,115,60,91,104,103,77,56,150,160,41,51,160,141,79,51,34,14,0,5,10,16,15,16,17,10,36,161,151,61,93,108,100,74,78,139,164,159,40,58,160,132,80,45,18,3,2,3,12,23,23,24,29,36,22,38,90,73,99,97,56,93,164,165,160,161,41,62,164,129,74,34,13,9,3,7,20,26,33,40,49,57,56,9,56,95,84,51,43,159,166,161,163,162,40,66,165,127,86,49,26,13,2,9,23,38,51,59,67,68,71,40,74,89,66,26,95,175,161,165,164,163,40,74,160,118,87,52,33,21,7,9,24,51,69,71,77,82,84,56,66,89,58,37,147,171,166,166,166,165,42,74,154,114,87,57,42,33,14,11,31,66,79,85,90,96,88,68,51,88,45,49,171,166,167,167,168,168,45,71,145,113,87,68,52,37,16,10,38,75,86,91,92,96,83,62,52,47,45,129,175,168,172,172,171,169,47,69,135,109,90,74,54,36,21,14,42,73,80,85,83,82,72,54,34,80,156,176,171,173,173,173,172,171,50,63,127,114,89,72,50,34,23,24,50,66,69,68,70,70,58,29,87,179,172,168,172,172,172,172,172,171,50,60,124,120,90,69,47,38,32,32,59,61,63,62,63,54,31,73,164,166,164,167,171,171,171,172,173,171,49,63,139,121,87,66,55,49,41,35,55,53,52,49,33,47,104,165,167,167,168,170,171,172,172,173,171,169,43,115,139,129,93,71,63,52,43,29,30,32,30,36,94,146,169,164,166,168,169,170,171,172,173,169,173,181,71,154,91,121,101,68,52,43,32,23,21,22,9,49,167,159,159,164,166,167,169,170,171,173,172,175,174,178
20,177,181,186,191,195,195,198,201,202,205,206,207,207,207,208,209,209,209,209,208,207,207,207,207,207,205,203,201,179,184,189,193,196,197,200,202,204,207,208,209,210,210,211,210,210,213,212,212,210,209,209,209,209,207,206,204,182,186,191,194,198,200,203,205,207,209,209,211,214,215,210,234,205,190,216,215,214,213,213,213,211,209,209,207,185,188,193,198,200,203,205,207,209,211,213,215,215,216,208,253,199,167,205,187,221,215,216,216,214,213,211,209,187,190,194,199,202,205,209,209,211,213,215,216,217,220,212,252,198,194,226,149,220,218,217,217,216,216,214,212,189,193,197,201,205,207,210,212,214,215,218,218,218,221,215,255,215,196,246,151,213,222,219,219,219,218,216,215,191,194,198,203,206,209,212,215,216,219,219,219,222,222,218,255,216,199,255,166,207,225,222,223,222,220,219,217,192,197,200,204,208,211,215,217,217,220,221,222,220,221,230,255,202,217,255,167,201,232,225,225,223,221,220,219,195,199,203,207,210,213,216,219,221,222,224,223,246,237,210,255,201,228,255,156,200,234,225,226,226,224,223,222,196,201,206,209,213,215,218,221,223,223,221,233,255,255,174,178,184,226,250,156,207,234,229,227,228,226,225,224,199,203,207,210,215,218,221,223,223,228,255,255,197,223,206,163,150,189,219,159,215,236,231,229,229,228,226,225,201,204,209,212,216,221,223,226,221,249,255,253,234,205,236,246,199,139,170,151,220,236,231,231,231,230,227,226,202,206,210,214,218,222,224,227,223,253,232,161,202,141,188,255,215,143,129,134,223,237,234,233,233,232,231,229,203,207,212,215,220,223,225,230,225,255,221,153,142,115,115,224,252,182,124,124,222,240,236,236,234,235,233,231,204,208,213,217,221,224,226,231,226,255,248,214,170,140,136,176,255,222,141,116,225,243,238,237,237,236,235,232,206,209,215,219,222,225,229,232,228,255,255,197,158,149,167,178,255,252,171,112,216,246,239,239,238,238,237,234,207,211,217,221,223,227,231,234,230,255,249,190,167,171,178,221,255,255,196,123,208,248,240,241,239,240,238,236,208,212,217,221,224,228,232,235,233,255,255,210,188,190,200,255,255,244,200,128,208,251,242,243,241,240,240,238,209,214,218,222,225,229,233,237,234,255,255,227,192,207,227,255,255,236,191,133,210,255,244,244,242,242,242,240,209,213,218,222,226,229,234,239,234,255,255,239,206,212,251,255,255,230,187,131,212,254,244,245,244,243,243,242,209,214,219,222,225,229,234,239,234,255,255,241,227,216,255,255,252,224,177,124,207,255,244,245,243,242,243,241,212,217,222,224,227,232,236,240,237,255,255,251,247,229,255,255,242,217,176,115,206,255,245,246,245,244,245,240,213,217,220,224,229,233,236,241,240,249,255,255,255,245,233,255,222,209,165,111,211,255,246,248,248,244,246,250,213,217,222,225,230,232,236,240,242,241,255,255,255,232,212,229,202,208,161,113,230,255,247,250,247,253,246,202,217,220,224,229,232,235,238,242,252,251,255,255,240,202,184,208,199,202,144,130,255,250,249,248,255,231,152,112,204,211,217,221,227,232,238,236,193,163,255,255,213,184,172,213,198,188,112,187,255,255,255,255,228,137,113,105,147,149,152,153,156,158,161,169,97,20,206,255,222,182,182,230,178,155,92,113,189,194,196,199,136,103,102,90,119,125,129,130,127,125,127,143,152,88,142,246,217,183,201,230,147,124,68,36,103,127,129,138,114,86,81,84
5,155,157,160,164,163,163,164,165,166,165,168,166,167,167,168,166,172,158,167,165,164,163,161,161,159,157,156,156,157,160,163,165,165,165,168,162,185,173,130,174,169,169,170,166,200,120,158,170,168,165,163,163,162,160,158,157,159,162,165,167,167,170,171,166,181,207,108,168,173,170,168,177,212,104,153,175,168,168,166,165,164,163,162,161,162,164,166,170,169,168,173,170,176,220,119,158,179,174,167,203,187,99,170,173,170,170,170,168,166,165,165,162,164,167,169,170,174,195,138,170,177,232,144,149,183,174,176,219,148,111,184,172,174,173,171,171,170,168,166,164,167,170,171,173,169,214,134,146,182,236,173,141,186,170,202,214,122,141,184,175,177,174,172,173,172,171,168,168,170,171,172,176,168,212,169,123,189,229,166,133,184,180,209,175,102,167,182,179,179,177,175,175,173,171,170,170,171,173,175,178,171,207,210,127,183,218,153,120,186,188,189,115,117,189,179,180,180,179,178,177,176,173,172,172,172,174,177,179,174,191,236,150,166,218,176,124,180,180,170,91,158,189,182,182,181,179,179,178,178,176,175,174,174,176,178,181,180,185,236,183,134,216,175,135,146,158,157,106,180,187,183,184,185,181,180,179,179,179,177,176,176,177,179,181,183,182,227,230,152,183,168,150,101,131,133,121,188,187,186,186,186,184,183,183,181,179,177,176,177,179,181,183,185,182,206,236,224,163,137,151,95,103,106,143,194,188,189,184,183,182,181,180,180,180,181,180,178,181,184,185,185,186,187,229,236,212,128,122,104,96,86,157,194,183,191,199,204,206,206,198,183,182,168,170,181,183,185,186,187,189,186,207,236,232,184,110,95,95,88,115,164,179,173,152,164,181,165,168,183,167,114,148,183,184,186,187,189,191,192,190,229,236,198,128,96,94,89,99,122,147,122,87,113,128,126,144,153,151,114,175,184,187,188,189,191,193,194,190,216,236,195,128,98,89,87,100,95,87,98,158,194,190,194,191,189,162,128,186,185,187,189,191,193,195,196,192,214,236,197,134,102,87,91,89,87,150,191,201,194,196,186,186,172,125,176,190,186,188,191,192,193,196,197,193,222,236,197,141,106,90,85,64,171,215,197,195,198,186,171,189,126,148,199,185,186,190,193,194,194,196,197,195,227,236,191,139,104,88,79,78,136,170,197,198,178,171,176,167,99,170,196,190,188,191,194,196,195,195,197,200,235,232,182,138,100,79,77,91,86,104,129,143,151,170,171,122,131,195,196,185,189,192,193,195,196,198,195,207,236,226,179,132,95,74,77,82,94,118,119,131,157,150,123,151,198,201,153,101,186,191,194,194,196,199,195,215,236,220,171,123,100,78,83,89,114,135,128,125,134,111,162,202,198,182,93,92,189,192,194,196,197,199,196,224,236,208,156,130,111,81,90,112,129,134,132,108,101,174,205,192,205,159,87,90,191,193,195,198,199,200,200,233,236,194,153,143,117,82,92,120,132,131,120,111,185,207,195,208,166,85,75,61,191,193,197,200,202,199,208,236,232,192,162,145,117,83,90,120,121,121,100,181,212,200,206,194,106,73,69,51,192,195,196,199,199,196,221,236,228,201,172,138,106,76,82,106,108,90,154,212,201,210,162,101,79,68,52,41,196,197,200,202,205,204,232,236,224,202,153,98,71,50,57,69,86,146,211,207,210,148,90,82,73,64,53,37,176,180,184,187,163,184,236,231,206,171,103,53,41,30,39,22,108,222,205,208,140,77,78,71,61,58,61,47
4,203,203,204,204,204,204,204,203,203,204,203,204,204,204,205,205,205,204,204,204,204,204,203,203,203,202,201,200,205,205,205,205,204,204,205,206,204,205,204,204,204,207,205,206,207,206,205,205,204,205,203,204,204,202,201,202,207,205,206,206,206,205,206,206,207,206,206,204,203,207,210,206,207,209,212,207,205,205,205,205,205,203,203,203,206,207,206,206,208,207,206,207,208,207,206,220,206,178,184,208,194,171,192,214,210,208,204,205,205,205,205,205,206,206,208,208,209,209,208,206,210,205,196,209,236,202,151,198,213,166,129,191,184,197,211,205,206,206,206,205,208,209,209,209,210,209,210,206,219,227,212,159,204,228,153,191,226,181,132,189,170,127,188,216,206,208,207,206,210,210,210,210,210,210,209,211,217,221,216,167,176,223,141,177,236,176,153,215,184,129,124,214,209,209,208,208,210,210,211,211,211,212,207,222,212,202,222,155,156,216,152,145,217,148,143,215,192,137,118,214,209,210,208,209,209,211,211,212,211,210,210,227,191,162,212,167,138,212,194,170,182,170,192,225,208,143,143,221,208,211,209,210,209,210,211,213,213,209,219,221,191,155,185,170,125,164,188,197,189,205,213,212,191,160,138,215,212,211,211,210,210,211,211,213,212,214,225,213,203,174,150,127,115,138,135,171,178,186,193,192,170,185,120,182,221,210,212,212,211,211,211,213,213,219,221,195,173,162,145,119,116,150,113,130,150,150,170,158,175,192,135,145,225,210,213,212,212,212,212,214,213,221,222,190,158,139,136,126,128,150,132,159,164,149,120,158,219,199,164,119,206,216,213,215,211,211,212,214,212,227,234,205,171,138,119,118,137,138,152,189,192,162,151,183,221,210,193,125,162,226,212,217,211,211,211,214,212,229,235,213,176,137,121,118,143,146,187,191,191,186,213,212,201,220,193,134,130,224,214,216,211,211,211,212,211,231,235,222,182,135,130,123,131,156,185,187,205,217,212,214,203,193,173,141,118,210,216,215,211,211,212,212,212,234,231,227,184,138,148,141,133,164,182,206,215,212,209,202,192,165,149,136,121,209,216,214,210,211,212,213,216,232,229,217,181,167,162,143,173,201,212,224,217,210,200,189,174,152,130,111,179,220,214,215,211,211,213,213,215,232,230,220,198,184,168,143,191,223,219,225,217,203,190,177,161,140,109,152,221,215,216,215,211,212,213,213,210,233,228,226,213,187,182,159,182,224,219,221,210,187,178,167,150,122,124,214,218,217,216,216,211,211,212,215,205,224,228,230,219,197,186,173,182,222,218,212,197,177,167,152,136,110,185,223,217,218,216,215,215,215,216,219,211,214,229,221,206,198,186,176,184,211,208,197,185,167,157,142,112,145,226,218,219,219,219,218,158,160,162,168,160,199,238,215,200,196,192,180,186,198,197,182,168,155,149,130,113,201,223,220,222,221,216,214,117,118,119,124,106,182,236,212,206,206,197,182,187,197,193,180,156,143,139,118,123,149,148,148,146,150,172,203,127,127,126,130,114,183,236,214,210,209,197,182,187,200,198,178,141,132,124,116,123,114,111,122,167,185,197,210,126,126,126,130,113,182,241,216,211,210,208,186,179,197,193,159,129,124,117,123,126,140,194,215,210,231,218,191,127,128,127,131,115,180,241,216,211,217,220,188,167,193,179,142,125,114,111,159,197,215,230,217,177,181,214,210,125,127,126,130,117,181,235,210,206,216,220,186,164,188,171,134,116,109,175,229,232,216,200,188,176,155,175,203
14,199,200,200,200,200,201,201,201,201,200,200,201,200,201,200,198,198,197,195,195,193,193,192,191,190,189,187,185,202,203,203,204,203,203,203,204,203,202,203,204,204,203,203,201,201,199,198,198,195,196,195,193,193,191,189,188,204,205,205,206,206,205,206,206,205,205,205,206,205,204,206,207,204,203,203,203,200,199,197,197,196,195,193,191,206,208,207,208,209,209,209,209,209,208,208,209,208,207,198,188,198,202,198,195,196,201,205,197,199,197,196,195,210,211,210,210,211,211,211,211,211,210,211,212,210,203,187,167,174,178,172,178,172,141,176,212,200,199,197,196,212,212,213,212,213,214,213,213,213,212,210,191,186,198,204,199,194,178,136,147,167,138,108,160,208,204,199,198,214,214,215,214,216,216,213,214,215,213,212,211,206,212,211,203,194,183,163,131,143,156,127,121,160,192,203,199,216,216,216,216,217,217,216,216,216,214,214,201,182,173,162,146,123,126,162,167,166,174,126,133,155,127,199,206,217,217,218,219,218,218,218,217,218,218,212,181,176,180,152,122,105,105,102,131,149,131,100,86,116,88,115,205,219,219,219,219,219,220,219,220,217,201,202,213,210,193,171,153,153,181,125,173,192,164,189,145,89,84,78,128,222,222,221,221,221,221,222,223,216,203,208,202,189,159,139,132,130,121,131,217,222,222,217,229,179,78,96,101,223,224,223,223,223,222,223,225,212,205,197,166,134,84,67,70,68,104,211,220,216,216,216,213,122,107,123,118,224,224,224,224,224,224,223,222,212,201,152,103,72,63,68,73,57,163,234,216,220,216,228,159,106,140,132,105,224,226,226,225,227,226,227,221,214,195,136,84,73,76,79,86,71,181,230,220,220,223,205,117,130,137,124,94,227,227,227,227,228,228,229,222,212,190,138,80,78,79,77,79,71,208,227,222,220,232,151,106,129,131,99,141,229,228,228,229,229,229,231,220,213,176,109,79,93,77,74,76,59,184,244,220,229,204,114,111,117,118,92,201,230,230,230,229,230,231,229,217,213,173,121,105,90,76,77,73,59,77,175,230,227,126,118,126,115,85,156,227,232,232,232,231,230,232,226,216,216,186,136,107,84,77,82,81,83,83,76,139,138,98,124,125,100,122,227,217,232,233,233,232,231,233,227,212,216,181,136,113,84,79,89,96,99,105,110,107,95,111,122,111,100,209,226,219,233,234,233,232,232,234,226,207,211,181,154,115,80,82,91,105,106,111,117,128,124,106,128,96,166,235,220,221,233,234,234,233,232,236,227,202,207,190,154,114,90,79,93,109,111,111,117,131,131,116,103,104,222,227,225,223,233,233,235,235,235,237,227,205,214,191,162,132,100,79,94,112,114,116,124,137,136,123,86,164,237,225,225,224,235,234,236,237,237,238,226,207,217,190,159,127,107,82,90,116,115,120,130,138,133,103,119,236,228,228,227,225,237,238,238,238,237,240,225,210,213,181,152,131,112,90,84,117,115,120,133,133,126,84,172,242,227,230,228,226,236,237,237,238,236,240,223,208,209,176,148,135,115,97,82,107,115,119,128,126,108,94,224,233,230,230,228,228,236,236,237,238,236,241,220,202,205,172,149,137,113,98,83,99,116,114,116,117,76,167,244,230,231,230,229,228,236,236,237,238,237,241,221,197,195,171,148,126,108,98,86,93,110,110,110,85,121,236,230,231,230,229,227,226,237,237,239,238,237,242,218,194,188,169,142,123,109,99,88,93,102,105,90,107,227,236,231,230,231,230,229,226
21,105,110,115,115,117,121,124,127,129,132,132,133,135,136,137,137,137,140,139,137,137,136,136,134,133,133,133,132,106,111,115,116,119,122,125,128,130,132,133,134,136,138,138,139,140,118,134,140,138,137,137,137,136,135,134,133,107,112,116,117,120,123,126,129,132,134,135,135,137,140,139,144,154,79,101,146,137,139,139,138,136,135,135,136,107,113,116,117,120,125,128,130,131,134,135,136,139,140,139,148,152,81,101,149,140,140,140,138,138,138,137,137,108,114,117,117,122,125,129,131,132,134,136,138,139,141,139,151,146,86,102,149,141,141,142,129,100,131,140,136,109,114,117,119,124,127,129,133,133,135,138,139,140,141,140,155,146,87,104,151,143,144,140,117,71,121,144,138,109,115,118,120,123,127,130,134,135,138,139,140,142,144,142,156,146,92,105,152,143,143,138,111,77,137,141,141,109,115,119,120,123,127,131,133,137,139,140,141,143,145,142,156,144,94,100,152,143,143,134,101,88,147,141,141,110,116,120,121,125,128,132,135,138,139,141,142,144,146,143,158,145,97,92,153,145,142,133,91,110,149,142,142,111,116,119,121,126,129,134,137,139,140,142,144,145,146,143,165,152,95,95,154,143,136,125,80,129,147,143,143,111,118,121,122,127,131,133,136,138,140,142,144,144,147,146,167,143,89,104,155,138,137,107,82,145,145,144,143,112,119,123,123,127,131,133,136,139,140,142,145,147,139,147,160,124,78,104,155,139,138,86,104,154,144,146,145,112,119,123,123,128,132,134,137,140,142,143,152,135,105,112,130,96,68,105,151,145,127,76,132,153,146,146,146,113,120,123,124,128,132,135,138,142,143,144,151,133,100,88,71,70,74,113,140,138,102,83,151,150,148,148,147,113,120,123,124,129,133,135,139,141,142,148,149,143,136,119,88,57,80,106,118,116,78,107,158,149,150,150,149,113,121,123,125,130,133,136,140,143,143,155,166,154,172,144,106,65,65,80,90,94,69,133,157,150,151,151,149,115,122,124,125,131,134,137,141,142,147,149,140,152,160,133,89,70,63,69,78,77,78,151,154,151,152,151,150,116,121,124,125,130,134,139,141,142,154,141,111,148,118,124,101,79,69,62,69,66,91,158,153,152,152,151,151,115,121,123,126,130,134,139,142,143,155,159,130,105,70,116,122,91,72,67,64,61,94,160,154,154,153,152,151,115,122,124,126,131,135,138,143,143,157,148,108,90,77,95,134,104,83,71,69,60,87,161,155,155,154,153,153,116,122,123,126,131,136,139,143,143,163,146,122,125,100,122,156,113,104,82,70,64,90,161,156,156,155,154,154,117,122,123,126,132,136,140,144,144,169,150,139,119,112,175,162,118,110,88,74,66,95,162,157,156,156,156,154,117,122,124,128,133,136,141,144,145,166,166,144,112,145,179,146,113,102,91,79,69,99,163,157,158,157,157,155,117,121,124,127,131,136,140,144,145,168,171,132,122,150,170,140,119,97,91,83,69,113,164,156,158,157,156,155,116,120,123,125,130,136,139,141,142,164,152,128,132,143,169,140,130,106,80,81,69,122,163,156,157,157,155,155,116,120,122,125,131,136,139,142,142,158,139,144,139,134,170,139,120,107,83,80,73,129,164,157,158,157,156,155,115,121,122,125,131,136,140,143,146,151,145,165,137,140,160,129,107,93,83,79,75,139,163,157,158,156,157,156,115,121,122,126,130,136,140,143,146,147,151,156,129,125,147,121,97,84,80,74,74,147,161,158,158,157,157,157
22,174,175,176,175,176,177,176,176,175,177,177,177,175,174,173,172,172,172,170,168,167,166,165,163,161,159,157,155,178,179,178,179,179,180,180,179,179,180,182,180,178,177,178,178,174,174,172,171,171,170,167,165,164,162,160,158,181,181,182,182,183,183,182,182,182,182,155,176,183,180,170,160,178,177,175,175,173,172,170,168,168,167,163,161,184,184,185,185,186,186,186,186,185,180,134,143,188,185,179,118,169,181,179,178,177,175,173,173,145,154,167,164,186,187,188,188,188,188,188,188,187,180,150,114,189,185,184,116,149,185,181,180,179,177,176,179,124,117,173,166,188,189,191,192,190,190,192,190,189,187,165,101,179,188,186,118,129,190,184,182,180,179,181,174,108,125,175,171,191,192,194,194,193,193,194,193,194,188,167,98,163,194,189,124,119,190,186,185,183,181,187,159,97,146,176,172,194,195,194,195,195,196,196,195,196,193,177,121,137,199,195,133,110,191,188,188,185,184,191,142,94,170,176,173,197,196,196,197,198,198,198,196,197,197,189,143,113,200,196,125,99,190,190,189,187,191,182,128,110,183,178,176,199,199,198,199,200,199,200,199,200,200,194,152,92,191,198,121,98,189,193,191,188,189,162,100,144,185,180,179,200,201,201,201,201,201,200,201,202,202,195,166,98,159,202,133,101,187,197,193,191,179,139,87,178,185,181,180,202,202,202,202,202,202,201,202,202,203,190,174,136,114,195,139,100,184,200,196,197,181,119,119,193,186,184,182,204,203,203,203,203,203,203,204,203,204,198,181,160,127,170,140,116,160,199,198,193,165,100,164,193,188,187,186,206,206,206,205,205,205,205,205,205,206,206,186,183,190,186,171,172,118,124,181,180,135,101,191,192,188,187,185,207,207,207,207,207,207,206,207,207,208,209,196,187,171,159,162,172,121,87,96,125,96,137,201,192,190,189,186,208,208,208,208,207,208,209,209,209,208,209,205,195,144,77,106,160,140,112,100,101,68,171,200,195,193,190,188,209,209,209,210,209,209,210,210,210,210,209,205,186,126,81,62,119,142,127,120,113,63,177,202,197,195,193,191,210,210,211,211,211,211,211,211,212,211,210,202,186,154,111,70,67,77,104,122,98,59,139,207,198,197,193,192,212,212,213,213,214,214,213,214,215,213,212,198,187,161,108,73,78,83,109,154,126,81,86,201,199,197,194,194,214,214,215,214,214,215,215,215,216,216,213,196,187,150,109,83,85,115,174,186,160,112,59,152,204,198,196,195,213,213,214,214,214,215,215,215,216,215,214,198,190,165,124,89,92,148,197,206,182,145,69,117,207,198,196,195,214,213,214,214,214,214,215,215,215,215,214,196,188,171,133,91,101,168,204,200,178,132,64,130,206,196,195,194,214,214,215,215,215,216,216,216,217,216,215,192,183,183,137,98,111,184,206,185,152,112,54,163,202,196,195,193,216,216,216,216,217,217,217,218,217,217,216,189,178,179,139,101,110,191,193,166,130,101,66,190,202,199,198,199,216,217,217,217,217,217,218,218,218,218,218,188,173,170,139,99,100,178,179,161,119,84,82,202,203,204,193,142,218,219,220,220,220,221,223,222,222,221,223,200,172,169,139,105,101,172,174,148,102,62,115,214,195,149,92,49,147,151,155,161,165,168,173,175,178,184,189,186,172,163,138,119,98,161,165,129,85,53,143,148,87,52,46,41,104,103,104,105,104,103,104,102,101,103,104,116,175,165,137,121,93,128,132,95,64,48,65,54,33,40,49,35
20,158,161,165,168,171,173,175,176,176,178,180,178,177,177,177,174,177,162,171,173,172,171,170,168,166,166,165,164,159,163,167,170,172,174,177,178,179,180,181,181,180,179,178,180,188,129,139,174,173,171,171,169,169,169,167,165,160,165,168,171,174,177,178,180,181,181,182,182,181,180,180,187,189,123,105,152,135,173,172,171,171,170,168,167,163,167,169,172,175,179,180,182,183,184,184,183,182,182,181,192,182,118,108,158,99,161,176,174,173,171,170,169,164,168,172,174,178,180,182,185,186,184,186,186,185,183,182,203,188,121,113,159,102,151,179,176,175,173,172,171,166,170,172,175,179,181,183,186,186,186,187,187,187,186,184,211,182,120,124,161,109,152,181,177,176,175,174,171,167,172,174,177,180,182,185,186,186,188,188,188,189,188,190,205,161,106,150,172,117,146,184,179,178,177,174,173,169,174,177,179,181,184,185,188,188,189,190,189,191,190,200,201,152,90,158,164,111,145,185,180,179,178,177,174,171,175,178,180,183,186,187,190,190,191,192,191,171,159,208,200,146,89,168,159,100,152,186,182,181,180,179,176,172,176,179,181,185,187,189,190,193,194,193,201,165,108,185,172,108,111,186,157,100,161,188,184,182,181,180,178,174,177,181,183,186,188,190,191,194,195,199,211,177,134,139,100,69,130,173,143,94,172,188,184,182,183,181,179,175,178,181,185,187,190,193,194,195,192,167,187,197,164,120,94,78,127,138,113,95,186,188,186,186,185,183,181,176,180,183,187,189,192,194,194,208,200,144,144,198,159,144,135,130,133,103,90,122,195,189,188,187,186,184,182,177,181,185,188,191,193,194,202,222,211,163,144,174,170,161,150,157,142,85,71,155,196,190,189,188,187,185,183,179,182,187,189,193,195,194,214,208,214,164,136,187,177,146,141,146,127,97,65,165,197,192,190,189,187,187,186,180,183,188,190,193,196,197,227,205,193,172,116,157,145,79,82,143,137,116,72,159,199,193,192,190,188,189,186,181,185,189,192,195,196,203,220,187,176,174,98,70,70,50,55,140,169,131,89,106,198,195,193,192,190,188,187,183,186,189,193,196,198,203,231,216,194,164,132,87,52,90,158,173,181,147,103,70,169,198,194,193,192,190,188,183,187,191,194,196,198,206,234,222,193,158,166,107,84,177,210,194,164,142,105,76,158,200,195,194,193,192,188,184,188,192,195,197,200,206,234,225,186,153,137,97,146,213,196,170,157,115,102,79,180,199,196,196,194,192,189,185,189,194,195,198,200,206,231,220,186,179,131,146,218,205,171,147,154,108,85,92,201,198,197,196,195,193,191,186,190,195,197,201,202,206,227,218,194,185,137,184,220,191,170,151,146,121,66,130,207,201,199,198,196,194,192,186,191,195,199,201,203,207,220,215,197,185,142,175,197,178,163,141,128,105,67,182,205,201,200,198,197,195,192,187,192,195,198,200,205,205,216,213,198,176,143,142,164,156,140,120,109,72,122,209,203,202,201,199,198,195,193,186,190,194,198,206,180,91,166,206,194,150,118,120,131,148,129,103,74,77,196,207,204,202,201,200,198,196,194,185,188,193,200,189,95,57,71,146,161,129,121,128,132,150,120,86,65,165,209,203,202,202,201,199,196,195,193,186,190,196,195,105,60,65,59,70,123,140,134,131,131,138,104,66,136,213,206,204,203,202,200,199,197,195,193,186,191,199,126,67,69,58,60,57,66,106,118,121,119,106,82,83,200,210,206,205,203,202,201,200,198,196,195
2,104,111,122,140,148,154,161,164,166,169,173,176,178,182,184,185,187,188,189,191,191,191,192,192,192,193,193,192,105,113,125,141,149,156,162,166,168,170,173,176,180,184,184,186,189,189,189,192,193,194,194,194,193,195,195,195,106,114,127,143,151,157,164,167,169,173,173,179,178,170,182,186,187,190,193,196,195,195,196,196,196,197,196,195,107,114,130,145,153,159,165,168,169,173,179,211,200,181,179,172,174,187,182,182,196,197,197,198,197,197,197,197,109,116,134,146,154,159,164,169,175,165,192,212,207,216,215,192,166,154,167,148,150,196,201,197,198,198,198,198,110,117,135,147,155,161,161,204,209,198,199,190,176,173,188,209,188,142,117,150,179,163,190,201,199,199,199,200,109,118,137,147,157,157,182,227,202,207,215,213,201,167,132,138,187,169,125,122,168,124,163,207,198,201,201,201,111,120,138,149,158,158,211,188,168,177,185,177,187,196,163,157,147,171,180,159,116,142,194,201,200,202,202,201,113,122,139,150,155,170,200,196,196,188,171,157,182,178,184,189,150,117,166,162,118,193,204,200,201,203,203,203,114,122,142,151,161,208,208,211,202,195,190,185,189,139,116,139,119,137,141,129,152,203,201,202,201,204,204,202,114,125,145,147,203,214,187,175,156,135,141,143,130,115,100,108,176,203,197,192,204,202,203,205,203,204,205,204,114,128,141,164,227,181,142,121,101,97,99,99,108,106,99,116,204,199,202,205,203,206,207,201,202,208,205,205,115,130,137,202,206,156,125,98,89,100,98,96,105,104,94,108,200,201,201,203,209,187,158,148,144,175,208,204,118,126,166,229,170,132,108,97,96,96,95,102,101,95,90,95,196,204,203,209,168,134,143,151,152,128,195,209,120,123,204,214,154,128,115,107,95,93,97,100,96,95,101,86,171,211,209,175,134,158,167,166,147,131,202,209,120,127,209,195,148,127,114,99,89,92,97,101,100,101,102,96,116,210,202,134,159,170,164,144,147,193,212,208,119,132,209,188,149,123,102,91,90,91,98,106,106,107,111,116,106,117,157,143,164,162,131,159,212,213,209,210,120,135,212,186,145,115,99,96,91,94,104,108,114,119,126,132,131,95,131,160,152,127,121,208,214,210,212,211,119,139,213,185,153,126,108,98,90,96,106,117,127,133,139,140,143,119,144,156,139,109,160,221,210,213,212,212,119,145,210,177,154,128,113,105,94,95,107,127,141,143,147,150,152,131,138,156,132,117,200,217,213,214,214,213,121,144,205,175,154,132,120,113,99,97,112,139,148,153,156,161,155,140,127,155,122,126,218,214,215,215,215,215,123,142,198,174,155,140,128,116,101,97,117,145,154,157,158,161,151,135,128,124,123,186,220,215,218,218,217,216,124,141,190,171,156,144,129,116,104,99,120,144,149,152,151,151,143,129,114,149,206,221,217,219,219,219,218,217,126,136,184,174,156,143,127,114,106,107,126,139,141,140,142,142,133,110,155,224,218,215,219,218,218,219,218,218,126,134,182,179,156,141,124,117,113,113,133,135,136,136,136,130,112,144,212,213,213,214,217,218,218,218,219,218,126,136,193,180,154,139,130,125,120,115,130,128,128,126,113,124,167,213,215,214,216,217,218,218,218,219,217,216,121,175,193,186,158,142,136,128,121,111,112,113,112,116,159,199,216,212,214,215,216,217,218,218,219,216,219,225,142,205,157,180,164,140,128,121,113,106,105,105,95,126,214,209,209,213,213,215,216,217,217,219,218,220,220,223
11,106,111,116,122,126,130,133,137,139,141,143,143,145,149,148,148,148,148,148,148,148,147,145,149,115,92,131,169,108,112,118,123,127,131,134,137,140,142,144,143,161,135,147,147,148,148,147,147,147,145,143,148,121,107,132,172,112,116,122,127,130,134,137,141,143,145,147,143,180,115,130,153,148,149,148,148,147,145,145,142,133,171,164,168,115,119,127,132,136,140,143,146,148,149,151,148,193,123,108,159,149,150,150,149,148,147,146,140,158,143,166,169,119,124,131,136,140,145,148,152,154,155,156,155,195,119,99,162,155,154,154,153,152,151,150,149,152,123,175,169,123,128,137,142,145,150,154,157,160,161,162,162,194,111,106,168,159,161,159,159,157,156,155,151,154,170,164,169,126,131,141,148,152,155,159,162,166,167,167,172,201,107,113,175,165,166,165,164,163,160,158,156,157,142,130,171,128,135,145,153,157,161,165,168,171,173,169,192,204,86,129,181,170,170,170,169,168,166,164,161,160,151,151,168,131,139,151,157,161,166,171,174,175,178,173,198,186,86,147,185,176,176,175,174,173,171,168,166,165,161,165,174,134,143,154,161,165,170,174,179,181,179,194,197,112,78,156,188,180,179,179,179,178,175,173,171,169,165,168,185,137,146,158,165,170,174,178,181,182,184,183,187,118,78,164,190,184,184,184,184,182,180,178,176,173,169,169,186,141,150,161,168,172,177,182,187,206,203,105,104,139,91,170,193,188,188,188,187,186,184,182,181,176,174,177,185,143,153,164,171,176,179,185,173,194,190,116,81,132,104,154,200,190,191,192,190,189,187,185,182,182,169,157,189,145,155,166,174,177,183,209,157,92,127,152,95,111,105,133,205,192,195,194,193,193,191,190,186,196,115,88,193,147,158,170,173,187,210,198,173,132,88,136,112,87,111,105,201,196,198,198,195,189,178,163,160,157,80,63,93,149,161,170,186,211,174,131,158,172,107,91,102,79,125,99,186,207,199,192,184,189,170,148,146,126,82,69,60,150,163,171,208,196,138,101,92,161,114,76,95,70,141,138,141,192,191,196,195,186,160,134,114,95,73,66,65,153,164,174,205,177,122,95,63,132,122,79,107,62,106,147,93,153,196,198,173,135,104,70,53,62,58,61,64,154,166,173,196,159,110,89,69,102,131,87,121,84,112,138,126,167,179,153,107,79,59,50,52,53,52,54,63,156,168,173,195,177,129,102,84,83,110,105,130,112,175,151,122,142,125,84,50,58,64,49,48,50,51,59,33,155,167,175,200,183,136,114,92,90,102,143,175,180,177,136,111,108,54,49,53,45,60,60,43,42,48,49,28,155,167,175,201,187,153,126,97,103,113,180,208,196,157,118,99,63,49,37,58,45,44,60,54,38,38,39,41,155,168,175,197,188,162,129,106,114,121,187,194,166,135,109,68,26,57,44,40,56,44,46,55,48,37,39,39,159,172,183,192,183,169,135,120,120,123,170,184,151,117,99,65,23,39,58,38,47,53,42,43,51,39,37,38,130,138,142,155,183,173,141,134,121,123,154,172,144,113,76,56,37,24,55,52,38,48,49,38,43,46,31,37,105,106,101,117,183,169,148,140,121,111,144,146,123,89,37,46,51,17,41,55,46,42,45,41,35,45,34,28,111,112,109,124,187,173,153,139,121,105,123,116,93,54,25,38,59,23,27,54,49,45,42,39,32,36,38,28,110,112,112,115,184,175,147,132,118,107,112,104,52,38,36,31,58,38,16,43,53,43,41,39,36,33,30,32
21,147,149,151,153,155,156,157,158,159,159,159,159,158,158,157,156,154,153,153,153,150,149,149,148,146,145,143,143,148,150,152,154,156,158,159,160,161,161,161,161,161,160,160,157,160,156,154,155,154,152,150,149,149,147,145,143,149,151,154,156,157,159,161,162,163,163,162,162,162,162,161,158,139,155,158,156,155,154,152,151,151,149,148,145,150,153,155,155,158,161,163,164,165,164,164,164,163,163,164,171,92,130,165,157,158,155,152,153,152,151,151,149,150,154,157,157,160,162,165,165,165,165,165,165,165,162,169,162,89,136,165,157,158,160,156,156,154,153,152,151,152,155,158,159,161,164,165,166,166,166,166,167,168,162,178,154,92,151,165,160,159,144,153,159,156,155,153,151,153,156,158,161,163,163,166,167,168,168,170,169,168,164,184,149,97,159,165,163,148,98,118,165,155,156,155,153,155,158,161,163,164,165,168,169,170,170,170,170,169,170,186,140,102,166,165,159,140,91,130,164,156,157,156,155,155,158,162,164,166,168,169,170,171,171,172,171,168,174,181,130,101,169,165,154,130,92,157,161,159,159,157,156,156,160,163,165,167,169,170,170,171,172,171,173,173,181,176,115,105,174,160,153,115,114,169,160,160,159,158,157,158,161,164,165,168,170,172,171,173,174,173,143,141,196,172,101,129,173,146,143,93,143,169,163,162,161,159,158,158,161,164,166,169,170,172,173,176,174,181,144,95,129,130,85,146,165,150,117,99,169,166,165,164,162,161,160,159,163,165,167,170,171,172,175,174,179,180,176,146,109,79,79,156,155,146,92,136,174,166,165,164,164,162,160,160,164,166,169,170,173,174,175,179,190,179,195,182,126,80,81,111,122,112,96,169,169,169,168,166,165,163,161,161,164,168,170,172,174,176,177,190,148,167,167,167,121,84,78,83,92,79,133,177,169,169,168,168,165,163,162,163,165,169,171,174,176,174,186,181,129,140,109,157,142,95,77,76,80,91,170,173,170,169,169,169,168,165,163,163,167,170,172,175,177,176,191,177,141,104,69,140,160,108,81,75,71,126,183,172,172,172,171,170,169,167,165,164,168,172,173,176,176,180,193,150,120,109,81,148,171,124,94,79,71,154,181,173,173,173,172,170,168,167,166,165,170,172,174,177,176,188,192,155,145,116,137,200,164,139,111,82,72,158,182,175,175,173,172,171,171,169,167,166,169,171,175,178,176,194,194,169,132,127,199,190,149,135,112,88,84,164,182,178,177,174,174,173,172,170,169,166,169,172,175,178,177,201,208,163,132,164,213,172,140,119,111,91,94,175,180,178,177,177,177,175,172,170,169,167,171,173,176,178,178,206,191,154,147,174,208,171,150,111,99,89,111,185,179,178,178,177,176,174,172,171,170,168,171,174,176,180,179,200,177,178,147,179,202,163,143,115,94,85,135,188,180,180,178,177,177,175,174,172,171,165,169,172,175,178,181,188,193,194,147,191,184,150,126,106,97,88,159,187,180,179,179,178,178,176,173,172,170,164,168,172,175,178,179,185,195,182,141,173,168,135,110,98,91,99,176,183,180,178,177,177,176,175,172,171,169,166,169,172,175,179,180,187,183,164,143,156,159,132,114,100,84,118,187,181,182,180,178,179,177,175,173,172,170,166,169,173,176,179,182,185,179,161,162,161,157,153,115,97,78,137,189,181,182,179,179,179,178,176,174,172,170,165,169,172,175,178,181,183,183,186,184,167,150,150,113,89,77,153,189,182,182,180,179,178,177,176,175,172,171
8,206,206,206,206,207,206,206,207,208,208,208,206,206,206,206,205,205,205,206,205,204,204,201,200,201,204,186,83,206,207,209,209,209,208,208,209,210,208,205,209,207,208,210,208,207,207,207,206,206,206,203,203,204,202,202,148,209,211,211,210,211,211,210,210,212,215,159,199,215,212,213,212,211,210,210,209,209,207,205,204,204,204,205,123,210,212,212,212,212,212,212,210,217,216,131,193,218,213,213,213,213,212,211,211,210,209,209,207,206,207,198,140,212,212,213,213,213,213,215,210,227,196,115,207,217,214,213,215,214,214,213,213,212,211,211,209,209,208,204,175,214,214,215,215,215,213,215,213,238,177,115,222,217,216,216,218,216,214,215,215,213,211,212,211,210,210,206,207,214,214,217,217,216,218,215,219,242,166,131,226,217,218,219,219,217,217,216,215,214,214,214,212,212,211,209,209,216,216,218,219,218,219,216,228,235,138,155,228,218,224,220,219,223,218,218,217,216,217,213,214,214,212,211,208,218,219,219,218,220,221,215,234,223,134,162,236,198,193,223,213,205,223,223,224,220,217,218,214,215,212,213,213,219,220,220,220,220,220,217,239,219,144,168,255,201,144,193,207,147,172,199,195,211,170,177,223,215,217,216,214,221,221,221,220,222,221,220,241,221,150,212,255,224,162,156,201,168,112,137,155,200,139,126,228,216,218,216,214,221,221,221,221,223,221,225,240,216,162,243,255,238,179,128,194,165,136,184,157,219,142,121,229,217,217,217,216,221,221,222,222,223,221,233,225,210,195,226,255,246,187,116,183,147,174,199,159,224,177,129,224,220,218,219,217,222,222,222,222,223,225,231,198,215,219,193,234,248,192,111,154,149,193,178,156,215,202,152,183,230,219,220,218,221,221,222,222,222,230,229,172,208,205,189,213,251,201,112,113,155,199,164,124,208,204,145,132,233,218,220,219,220,220,222,222,219,234,230,159,169,186,165,186,243,195,104,94,149,190,143,117,213,188,116,161,232,220,221,220,221,221,222,223,220,242,246,158,144,150,143,143,220,206,116,84,155,207,130,148,202,144,108,217,222,220,219,219,221,222,222,222,225,250,253,179,129,146,136,140,191,218,155,65,147,169,128,179,152,100,153,232,218,220,219,219,221,222,222,221,229,251,252,201,123,133,136,132,176,188,121,108,197,175,190,191,122,99,215,224,220,221,221,220,221,222,223,223,233,251,251,212,125,135,148,136,198,207,178,213,211,185,171,179,110,121,234,221,224,223,220,220,220,221,222,221,234,252,253,213,129,147,145,166,229,236,238,222,203,187,146,141,97,155,236,221,225,224,222,220,228,230,230,229,235,249,250,203,148,165,143,213,245,240,238,225,203,173,136,103,104,219,228,224,224,224,223,221,160,163,167,162,213,255,247,209,175,171,147,222,248,252,238,219,193,155,120,85,159,238,228,227,220,218,222,224,100,100,102,86,167,255,244,222,183,180,158,211,255,255,220,202,176,133,107,92,125,137,134,148,182,220,231,227,113,112,114,102,144,255,242,220,184,183,162,210,255,238,206,181,151,115,101,92,97,127,168,211,227,226,228,223,112,110,113,102,142,252,229,205,180,177,165,226,245,216,189,152,129,99,100,159,192,227,237,236,237,228,213,214,110,110,117,101,164,247,218,200,184,175,179,220,218,202,165,132,122,79,162,255,242,210,202,208,217,230,224,211,110,109,115,99,189,243,213,199,188,179,188,205,201,189,147,126,115,110,207,212,241,235,205,192,200,203,198,203
12,47,54,67,87,94,102,108,116,118,121,125,128,132,135,138,141,142,144,146,148,149,150,151,152,152,152,152,153,48,55,68,88,96,105,111,117,118,122,125,129,133,135,138,141,145,145,147,149,150,151,152,153,154,154,154,154,49,55,70,88,98,107,113,116,120,125,126,128,135,142,139,146,136,147,150,152,153,152,154,157,156,157,156,156,51,57,74,91,99,107,113,117,122,127,131,146,103,104,152,160,94,81,153,148,152,159,155,159,158,159,158,158,51,59,76,94,101,110,115,120,128,120,169,168,114,71,127,164,110,55,88,106,80,139,165,158,160,160,161,160,53,61,76,94,102,110,116,121,129,121,194,178,135,92,101,165,125,90,48,101,66,71,162,161,161,162,163,163,55,64,82,96,103,111,117,123,126,132,196,201,154,99,95,170,130,98,43,87,92,45,127,171,161,163,165,165,56,65,84,97,105,113,120,126,121,154,165,189,172,104,84,176,131,91,38,82,90,46,138,170,165,165,167,167,58,66,84,97,108,116,118,117,129,164,159,146,152,93,60,148,128,78,35,86,80,53,156,170,167,167,168,168,57,67,86,97,108,113,129,182,195,120,69,78,124,72,41,102,88,57,41,84,69,65,169,168,170,168,169,169,58,69,90,98,109,107,174,224,164,97,68,38,103,72,34,80,72,51,38,70,57,74,174,168,171,170,171,170,59,72,89,100,108,118,190,154,138,104,84,38,82,115,44,74,110,68,50,102,75,84,181,169,172,172,173,173,60,73,92,102,105,135,184,116,121,121,89,55,23,70,22,41,103,64,51,125,100,45,113,182,171,174,173,174,60,74,93,102,103,146,176,122,93,120,87,74,9,0,21,54,63,56,89,98,68,42,55,171,175,174,174,175,61,76,94,102,102,151,197,142,102,87,75,58,3,16,74,123,130,118,118,96,75,68,69,173,176,175,175,175,61,80,97,105,101,160,196,141,119,77,53,45,26,57,122,154,155,142,122,91,81,61,103,184,175,176,176,176,63,81,99,106,103,161,190,153,129,88,67,92,84,126,164,168,162,135,106,87,66,50,145,182,176,177,178,178,65,82,97,107,107,155,180,147,124,93,92,105,96,165,167,167,161,125,96,83,58,76,179,176,178,179,179,179,65,84,97,108,111,140,176,143,120,98,96,85,104,158,155,163,148,111,87,76,52,126,186,176,180,179,179,179,67,86,97,106,115,130,174,138,122,110,101,98,126,149,154,154,128,99,80,64,62,168,180,179,180,181,182,183,69,89,101,108,118,122,163,144,135,133,114,106,134,145,148,129,105,86,73,54,100,185,177,179,182,182,183,182,71,88,99,110,120,119,151,157,137,129,112,97,109,129,129,106,82,72,67,60,156,183,178,179,183,184,184,184,73,91,99,109,119,123,141,169,129,120,104,88,83,99,98,86,69,71,55,110,185,178,181,183,183,184,184,184,73,91,99,110,119,125,133,177,145,116,92,80,86,88,87,80,67,63,66,169,179,179,182,184,184,184,184,185,73,92,100,110,119,125,130,175,163,121,95,93,104,89,88,86,68,45,108,186,177,181,184,184,185,185,185,185,75,91,100,109,121,123,146,190,177,133,118,112,111,88,77,72,61,32,121,189,177,182,184,184,185,186,186,186,76,93,101,112,115,148,178,169,202,142,128,112,104,85,71,60,56,28,124,189,177,182,184,184,185,187,186,186,77,94,102,113,116,188,196,134,181,150,133,110,97,82,59,57,54,30,137,188,179,183,185,186,186,186,186,187
4,159,160,160,161,162,160,160,160,161,159,158,159,159,157,155,156,158,158,154,153,153,152,152,151,150,149,148,147,161,161,162,163,163,163,162,162,162,160,159,161,159,162,164,155,144,146,157,155,154,154,153,153,152,151,149,149,163,164,164,165,165,166,165,163,162,166,173,172,154,135,165,189,160,116,107,166,159,157,153,154,154,152,151,151,166,166,167,166,166,167,164,167,170,138,166,182,157,105,82,159,157,109,66,112,138,143,160,156,154,152,153,152,166,167,167,168,168,163,179,191,160,114,82,158,140,95,59,116,132,87,67,54,97,92,107,161,154,154,153,154,168,168,167,169,169,168,203,196,148,114,64,141,132,93,52,96,120,88,62,63,93,75,58,153,159,156,155,154,169,169,168,171,168,178,198,192,158,169,86,106,161,139,51,76,144,122,67,77,101,74,58,150,161,158,156,155,170,170,170,172,170,178,203,172,180,194,107,81,186,145,54,61,159,128,64,82,141,104,71,153,162,159,157,157,170,172,171,173,172,172,203,184,172,146,88,68,134,111,65,60,101,108,39,79,172,117,89,162,161,160,158,158,172,173,173,174,172,177,215,206,181,149,117,97,71,68,72,90,135,142,77,71,129,95,117,170,161,160,160,159,174,173,174,177,170,192,220,195,166,152,133,122,107,120,126,143,176,136,99,77,74,53,146,169,164,162,161,160,175,175,175,178,171,203,209,173,143,121,131,188,157,163,178,149,158,124,116,88,75,68,156,168,165,164,163,161,175,177,177,179,174,212,208,176,152,127,125,182,158,161,170,160,144,141,137,101,64,60,153,170,163,164,163,161,177,180,179,178,181,220,209,181,155,132,110,125,134,130,145,127,122,165,157,116,75,54,148,173,165,166,164,164,179,180,181,176,189,222,203,182,152,118,106,96,80,84,123,91,107,176,169,124,89,56,138,177,167,166,166,165,181,182,182,178,197,220,203,183,142,116,118,111,92,114,178,173,136,174,181,123,98,57,129,178,167,167,166,165,182,182,184,178,201,218,205,180,140,123,129,113,97,181,203,188,175,153,170,130,107,67,112,181,167,168,167,166,183,183,185,180,205,218,196,158,139,139,130,101,152,210,205,190,166,159,137,122,103,72,122,181,169,170,168,167,185,185,186,181,209,214,185,156,165,139,114,116,203,211,205,185,157,143,126,101,92,67,155,176,171,170,168,168,186,186,184,191,216,209,182,171,169,134,103,162,215,205,192,173,152,130,116,95,74,78,177,172,173,171,169,168,186,185,195,146,201,212,181,173,174,126,136,188,213,193,177,164,147,123,103,88,53,129,183,173,173,172,170,170,186,193,176,66,98,195,189,177,167,116,147,187,201,180,169,157,134,110,93,70,75,178,175,174,175,173,172,171,191,188,91,71,62,82,158,173,144,111,129,181,183,165,153,142,121,98,82,53,146,185,177,178,177,175,174,172,200,119,63,72,73,61,70,110,112,96,117,152,164,149,137,124,106,87,54,99,189,178,179,178,178,177,175,173,142,74,78,65,61,68,63,56,61,84,108,126,142,129,119,101,88,60,66,179,184,180,180,179,178,177,175,173,75,75,74,63,61,61,60,66,48,52,79,97,112,97,84,77,62,53,159,190,182,183,183,181,179,178,176,175,78,73,63,62,58,59,57,60,59,22,35,47,60,60,48,44,50,151,194,182,184,184,184,181,180,178,178,176,73,66,61,61,56,56,53,54,64,35,16,30,29,30,32,14,97,202,183,186,185,184,184,183,181,179,178,177
11,160,163,165,168,170,173,174,176,176,177,177,176,176,176,176,177,176,176,175,173,173,172,171,170,167,165,164,163,161,164,167,170,171,174,176,177,178,178,178,179,177,180,179,177,177,177,176,176,174,173,171,170,170,167,166,167,164,167,169,171,173,176,177,180,181,180,181,180,186,159,171,182,178,178,177,176,175,175,174,172,171,168,170,148,166,169,172,175,176,179,180,182,183,183,184,177,206,151,138,189,179,180,179,177,177,178,175,173,172,172,171,91,169,173,174,177,180,182,182,184,186,185,186,179,214,160,124,192,181,183,183,181,180,179,177,176,173,180,139,65,171,176,177,179,183,184,184,187,188,188,188,182,223,150,121,194,184,185,183,182,182,181,178,177,175,181,107,69,174,176,179,183,185,187,188,190,191,194,187,194,243,139,134,197,186,187,186,185,183,182,181,180,181,177,92,74,176,180,184,185,188,189,190,190,192,184,200,189,219,137,148,201,188,190,189,187,187,185,184,184,183,183,116,85,178,182,186,187,190,193,188,213,203,128,183,160,115,158,122,180,197,192,192,190,189,187,188,186,183,191,139,86,181,183,187,189,193,189,212,236,212,169,112,141,104,126,108,153,205,192,193,193,192,189,190,190,187,191,162,83,182,186,189,192,192,206,248,195,200,199,126,115,111,136,117,158,205,195,195,195,194,194,192,190,190,189,188,105,184,188,191,191,199,240,221,155,151,194,124,106,104,138,118,163,207,197,198,197,197,197,193,192,192,190,193,149,186,190,193,190,226,240,185,148,166,179,95,112,104,130,113,174,209,201,201,200,199,198,196,196,194,192,194,171,188,191,195,192,238,229,170,123,145,150,90,114,100,125,105,191,208,203,202,202,201,199,197,196,196,194,196,163,189,192,197,192,241,234,188,141,99,102,115,96,107,122,116,209,204,205,203,202,204,202,201,201,198,196,197,185,190,193,197,197,250,232,180,130,94,79,127,88,133,128,92,195,214,206,209,209,202,194,188,187,198,203,197,195,191,195,197,204,255,229,178,136,104,86,98,83,133,119,75,115,202,204,190,168,156,148,145,133,124,172,203,195,194,199,197,211,255,225,182,147,113,97,99,100,118,119,117,115,123,138,141,155,162,145,122,119,101,141,207,196,195,200,199,211,252,221,182,149,120,101,104,141,165,165,154,143,126,133,150,145,125,112,140,183,193,196,202,199,197,201,201,213,251,224,190,156,126,105,115,162,162,152,146,142,128,118,112,122,159,184,211,213,209,205,202,201,198,203,202,219,250,227,199,159,137,115,128,157,155,147,133,129,106,100,152,208,217,215,210,208,207,205,203,201,199,206,199,233,252,229,197,157,139,122,129,141,145,137,120,102,125,192,222,216,211,211,211,209,209,207,204,203,202,202,206,251,242,215,180,146,129,122,129,128,134,128,99,152,219,221,215,216,214,213,212,210,210,209,206,204,203,202,241,251,230,203,168,140,124,125,128,120,114,105,164,228,218,216,217,217,216,214,213,212,211,210,208,206,198,214,255,240,217,195,164,144,130,124,122,104,134,199,228,220,219,219,218,217,216,215,214,214,211,210,209,207,197,228,253,235,193,165,156,142,127,118,98,127,221,228,222,222,221,220,219,219,218,216,216,215,213,212,210,208,201,239,251,227,172,143,138,132,117,104,109,208,227,222,224,223,221,221,219,219,219,217,216,214,215,213,210,209,215,248,247,214,151,137,132,123,108,95,178,234,226,227,225,225,223,222,221,220,219,219,217,216,214,213,212,210
19,76,80,85,89,97,105,110,115,119,121,123,127,129,133,135,137,139,141,142,143,145,147,148,149,150,150,152,152,76,80,85,90,98,105,111,117,120,122,124,127,130,134,136,139,141,141,144,146,147,148,149,152,152,153,154,153,77,82,87,92,100,107,113,119,122,124,126,129,132,134,137,141,142,144,147,147,149,150,151,153,154,155,156,155,78,83,89,93,101,109,114,120,124,125,128,130,134,138,141,143,145,147,147,149,152,153,155,155,156,157,156,158,79,84,89,94,103,110,116,121,125,127,129,132,135,139,141,144,148,150,148,151,153,154,155,155,158,156,163,153,79,85,90,95,104,112,118,123,126,128,130,133,138,139,151,150,127,142,156,152,154,156,156,157,155,174,184,101,80,85,91,96,105,113,120,125,128,129,132,135,140,138,183,158,118,93,146,154,154,156,164,166,174,180,126,87,80,86,91,97,106,113,121,126,129,131,133,138,141,137,172,173,128,110,150,167,159,163,174,174,159,115,92,144,81,87,91,99,108,114,121,127,130,129,137,132,139,145,158,171,161,169,166,161,153,140,152,138,98,103,149,169,82,88,92,99,110,116,123,128,127,155,171,137,130,137,149,155,150,140,132,139,125,106,105,107,134,167,167,165,83,88,92,100,109,117,124,129,131,184,157,142,142,147,156,156,146,133,130,119,119,89,148,166,172,167,167,168,82,89,92,101,110,117,125,125,143,172,132,132,140,155,160,156,153,147,129,92,84,104,176,166,167,169,169,168,84,90,94,102,111,117,126,122,158,167,141,139,145,144,136,130,134,120,104,86,68,124,175,166,169,170,169,170,85,90,95,103,112,119,126,126,194,181,161,158,158,150,147,141,127,85,79,83,71,146,175,169,171,171,172,172,85,90,95,105,114,121,127,133,194,176,159,144,137,144,146,139,116,82,75,85,79,158,172,170,172,172,174,174,85,90,95,105,114,122,129,133,176,168,144,127,105,102,119,116,111,86,79,81,102,173,170,171,172,172,174,174,86,90,95,107,114,123,129,132,167,167,145,102,91,67,58,94,116,89,82,84,101,177,171,172,172,173,175,175,87,90,96,108,116,124,131,131,165,171,145,105,78,46,85,115,115,85,81,81,81,165,174,172,174,175,176,176,87,90,97,108,116,124,133,125,163,172,145,118,96,68,71,80,72,65,72,81,81,158,177,173,175,176,176,176,87,90,98,109,117,125,134,124,166,175,147,123,98,87,74,60,60,71,77,82,83,161,178,175,175,176,177,176,87,91,99,109,118,127,135,125,167,173,146,122,101,92,92,78,69,72,78,80,90,168,176,176,178,178,178,178,88,92,100,111,119,126,135,126,157,167,142,120,100,92,90,79,70,76,82,80,108,179,174,178,179,178,178,178,88,92,101,112,121,126,136,126,155,162,138,114,98,91,88,80,76,81,88,77,139,183,176,179,179,180,180,180,86,92,102,111,121,128,135,133,160,157,134,111,97,89,89,86,83,85,80,97,173,176,178,179,180,181,181,181,87,92,103,112,121,129,133,136,170,156,130,107,94,90,92,89,85,80,105,164,177,176,178,179,180,181,181,182,88,93,104,114,122,131,132,138,168,150,132,112,97,93,93,90,81,99,171,175,175,177,179,181,181,182,182,182,89,93,104,114,122,131,132,147,160,143,129,114,99,89,85,86,75,136,177,174,178,179,180,182,182,182,183,183,88,93,103,114,123,132,133,163,160,140,120,105,92,81,78,81,79,151,175,176,178,179,180,182,182,183,185,185
13,187,188,189,188,187,188,189,191,190,189,189,190,191,193,193,191,192,192,193,192,193,191,191,190,190,189,188,188,189,191,192,190,190,190,192,191,191,191,192,191,191,193,195,194,195,195,193,193,195,193,191,192,193,193,190,188,190,192,191,192,193,192,193,193,193,193,194,193,193,194,194,193,192,191,197,198,197,194,193,194,194,193,192,191,189,191,192,193,192,195,194,195,193,192,194,196,196,194,196,205,203,171,144,178,189,195,199,195,196,193,193,194,190,192,193,193,193,195,195,194,194,193,194,197,193,205,230,232,227,188,132,89,112,117,180,201,195,194,194,194,191,191,193,194,194,194,194,195,197,197,195,195,195,203,196,211,225,200,140,86,69,82,108,211,193,195,195,195,193,193,193,194,195,195,195,196,198,194,200,184,159,186,158,148,195,203,169,101,79,140,102,200,197,196,197,196,192,193,194,195,196,196,197,198,197,200,228,184,134,173,187,180,193,187,190,110,73,112,94,197,199,198,198,197,192,193,194,195,196,196,197,197,191,206,237,196,164,125,149,190,197,171,120,76,35,109,185,199,200,199,199,199,193,195,194,195,196,199,193,204,202,133,150,209,189,146,60,105,181,180,142,120,85,84,205,202,200,199,199,198,192,194,196,195,195,191,200,228,195,113,74,172,216,165,84,6,96,137,153,181,162,85,130,214,197,201,199,199,192,193,195,196,193,205,230,209,171,126,78,122,225,165,120,37,27,39,166,205,188,144,80,184,205,200,200,199,193,193,193,193,200,221,198,172,174,145,102,73,219,176,149,78,35,34,117,221,203,170,102,102,209,198,198,198,195,194,195,193,215,203,157,150,185,156,121,40,158,212,169,123,32,45,103,208,211,171,132,78,167,209,199,198,195,195,195,196,219,211,180,142,186,161,133,89,39,197,197,155,86,73,205,198,194,166,141,88,140,215,199,201,195,194,193,197,213,200,182,144,141,171,168,137,28,66,205,187,174,115,202,196,167,132,118,75,151,213,199,201,193,193,194,193,216,221,199,171,132,135,177,150,129,25,132,199,169,175,195,178,154,119,85,68,183,206,201,200,200,200,201,198,214,226,211,184,168,146,149,146,170,97,169,217,201,210,187,165,142,112,76,87,204,201,202,201,145,148,154,152,195,231,219,198,177,168,169,150,117,129,211,226,225,199,183,162,134,102,63,130,217,207,209,207,75,74,79,62,145,237,217,207,189,176,179,179,143,130,197,223,221,199,166,150,125,91,67,112,146,147,151,151,82,82,83,74,104,223,211,211,208,191,181,176,164,120,157,218,209,191,161,129,110,81,75,75,66,63,65,75,82,82,82,85,74,186,211,207,210,206,193,178,163,141,123,197,196,175,153,116,95,79,70,74,84,108,139,172,81,83,85,87,73,119,215,202,213,213,195,180,158,145,126,157,180,158,129,111,90,66,83,159,184,201,208,208,82,83,84,84,89,73,167,213,207,203,184,167,153,139,125,128,154,146,123,103,86,52,156,228,202,192,183,193,83,84,83,82,88,76,102,215,200,182,166,156,148,135,112,111,138,148,131,92,70,69,206,208,190,177,154,147,82,84,83,82,81,85,75,185,206,167,150,152,145,130,106,95,145,162,119,81,53,133,224,201,184,137,126,131,82,83,84,81,80,89,71,157,214,177,171,164,145,124,108,92,154,153,94,71,66,206,218,218,193,128,94,127,83,83,85,81,81,87,70,146,221,188,187,175,152,130,117,90,156,133,85,55,107,220,203,229,213,146,84,105
12,141,141,143,145,147,147,148,150,151,151,151,151,150,150,149,148,148,148,148,146,146,146,145,145,144,142,142,143,142,143,145,147,147,149,150,151,153,152,152,152,152,152,152,151,150,149,149,148,148,148,147,146,145,144,143,143,144,145,146,147,149,151,152,153,153,153,154,154,153,153,152,152,153,151,150,150,148,149,148,148,147,147,145,144,145,146,147,149,151,152,152,154,154,154,154,155,157,155,154,154,155,156,153,151,150,150,150,150,148,148,147,146,146,147,149,150,152,153,154,156,157,157,156,156,152,156,159,154,141,132,152,157,156,154,151,152,149,149,148,148,146,149,151,152,154,155,155,157,157,158,159,158,130,106,148,160,125,69,92,153,131,147,158,151,152,151,151,149,148,151,152,154,156,158,159,159,160,157,168,171,132,82,85,158,110,86,52,112,99,65,122,158,151,152,151,151,151,152,153,157,158,159,161,160,159,157,168,162,118,81,61,158,119,96,57,96,103,59,53,146,155,152,152,152,152,153,156,158,159,158,159,161,169,130,135,161,109,71,56,170,161,112,77,93,93,66,46,133,160,153,154,153,153,154,156,158,159,161,160,185,174,136,101,153,149,75,46,190,183,103,82,133,107,72,44,140,161,154,155,155,155,156,158,160,162,161,171,202,174,149,83,148,184,84,57,134,130,60,111,162,106,60,46,150,161,158,157,156,155,158,159,159,163,159,179,190,174,143,82,100,145,83,67,79,117,99,126,125,67,33,68,165,159,160,159,157,157,159,160,161,163,165,196,178,146,110,80,44,57,57,78,95,142,171,135,96,71,35,128,168,159,161,160,159,158,159,163,165,161,188,193,172,119,81,70,43,16,92,168,164,155,141,117,105,104,50,139,168,161,161,160,160,159,160,163,166,161,192,199,157,113,113,79,23,81,183,181,170,147,135,106,98,91,51,143,171,163,163,161,160,160,161,164,166,164,196,200,150,109,136,90,83,169,193,182,169,147,127,111,90,73,48,156,168,165,164,163,162,160,162,164,166,168,203,197,165,152,125,131,157,188,188,179,162,143,119,106,82,61,41,152,170,166,165,164,164,161,164,166,167,172,203,197,178,172,137,131,164,189,183,168,158,133,108,96,76,56,34,144,175,166,167,165,165,164,165,167,168,171,200,197,184,175,143,141,171,178,171,155,146,121,100,87,66,48,34,157,173,168,169,166,166,164,166,167,170,171,195,195,189,174,147,133,164,165,156,150,136,109,89,72,60,28,90,178,168,170,168,167,167,165,165,168,170,167,191,193,187,172,138,128,146,151,149,139,123,95,77,68,41,72,174,172,170,170,170,169,168,165,166,167,174,177,184,189,186,152,118,130,143,147,151,135,112,95,79,52,73,173,174,171,171,171,170,170,169,164,165,173,152,137,184,176,162,142,138,145,144,156,154,130,99,93,69,44,157,180,173,173,172,171,170,170,169,165,166,179,98,25,159,189,168,164,154,137,129,154,143,107,87,83,40,117,185,174,175,174,173,173,172,171,170,165,173,149,74,56,69,158,171,160,144,126,114,137,115,87,79,48,82,186,176,177,175,176,175,174,173,172,171,164,179,107,59,79,33,54,85,79,75,71,75,95,84,72,54,48,171,181,176,176,176,177,176,176,174,173,173,168,162,76,63,74,49,6,40,35,31,22,18,19,26,34,17,44,164,181,177,177,177,176,176,175,173,174,173,174,120,63,66,70,61,0,24,37,33,23,21,17,14,9,5,0,117,189,175,178,176,176,175,174,173,173,172
15,136,115,124,88,77,138,23,11,55,52,53,56,60,63,76,90,101,110,116,120,126,131,136,139,143,145,148,151,134,119,130,81,91,136,12,21,56,53,54,58,61,64,78,92,105,114,117,122,129,135,139,142,146,148,151,154,133,121,133,73,105,128,3,31,57,53,57,60,62,65,80,93,107,116,119,123,131,137,142,146,148,152,154,156,132,124,132,67,120,117,0,38,55,52,54,56,58,65,83,98,109,118,121,125,134,141,144,148,152,155,158,160,128,125,130,63,134,102,0,52,62,64,73,82,86,70,81,95,110,122,125,130,137,143,153,157,155,157,162,164,127,137,125,91,117,103,88,91,88,95,99,93,83,79,78,79,85,95,103,110,108,99,106,136,164,166,164,167,133,141,108,96,100,94,90,77,78,79,75,72,72,85,87,85,85,82,82,95,99,89,77,62,91,149,177,173,136,122,87,85,80,80,75,70,74,75,75,73,78,90,91,88,81,77,80,94,97,94,89,72,55,56,110,168,136,138,101,76,91,64,61,65,70,73,73,73,82,90,88,83,78,78,90,94,87,92,85,77,73,65,50,67,140,148,94,96,158,26,19,62,54,57,59,62,67,80,93,108,92,87,88,89,92,92,86,79,78,82,69,54,141,151,84,111,153,12,23,63,54,55,59,61,61,74,100,147,124,102,95,88,81,88,81,83,79,96,80,65,141,151,80,125,143,3,31,63,55,56,59,61,64,73,130,134,109,80,73,81,62,62,78,85,88,107,88,74,144,149,74,137,130,0,40,62,53,56,59,62,60,93,149,112,98,70,31,42,30,22,102,107,107,102,82,79,146,146,72,149,118,0,47,61,55,57,58,61,62,139,136,99,83,65,28,16,7,20,123,125,118,94,73,78,148,141,72,160,104,0,53,60,56,56,59,55,88,168,133,94,76,44,15,17,1,46,131,134,129,96,70,72,155,136,76,167,88,0,58,59,55,56,59,55,81,153,141,106,78,35,7,15,22,59,122,142,136,101,71,68,161,130,82,178,75,0,62,59,55,57,59,61,60,129,160,132,92,50,5,33,64,56,107,142,122,94,73,59,166,123,91,184,62,0,66,58,55,55,58,61,63,95,169,154,110,57,16,9,42,100,125,121,92,83,70,48,170,111,102,184,46,4,65,56,53,53,56,56,67,81,152,168,133,110,99,96,118,120,103,83,66,68,65,51,173,104,116,181,32,12,65,53,53,52,55,55,65,84,118,172,154,138,130,129,134,98,68,61,60,58,62,64,172,94,130,173,20,20,65,52,52,51,53,56,67,83,138,153,113,103,106,128,131,86,54,55,47,54,61,54,170,89,145,164,8,27,63,51,50,50,53,56,64,96,167,119,101,105,102,122,126,89,55,51,110,91,36,35,166,83,158,150,0,34,60,46,44,44,46,49,56,103,154,109,96,91,87,107,113,92,50,78,208,108,38,37,161,85,164,146,99,94,102,93,89,86,83,85,87,102,127,110,106,118,86,65,98,97,65,92,199,109,46,40,154,88,167,150,110,74,90,89,89,88,92,96,95,89,85,94,92,140,136,69,68,103,85,96,117,84,52,45,149,91,172,146,104,77,91,89,90,90,91,91,93,93,95,97,90,99,155,114,75,99,99,98,99,77,42,41,140,99,176,143,103,83,91,91,93,93,92,95,96,96,99,98,97,95,109,115,95,101,100,99,104,79,38,16,130,107,175,141,103,86,93,90,92,93,93,96,95,96,99,98,98,100,98,97,99,99,100,99,101,77,48,29
2,153,164,170,171,175,179,183,187,190,193,194,192,196,201,204,201,207,210,212,209,210,212,212,212,212,213,213,214,155,166,171,172,177,181,184,189,190,190,194,215,231,229,216,213,215,189,167,209,208,207,213,210,211,212,212,211,156,165,172,175,179,184,188,188,198,216,228,216,192,175,142,141,162,138,109,149,156,139,198,215,211,211,211,211,158,167,172,175,181,187,186,200,248,237,187,151,134,132,118,114,117,116,119,123,113,113,197,216,210,211,211,211,160,169,174,177,183,185,205,250,229,173,117,104,109,110,108,111,108,101,120,134,148,197,215,211,211,210,210,210,162,171,176,179,186,189,249,236,154,119,106,93,108,100,98,104,108,139,196,214,218,216,214,213,213,214,212,211,165,173,177,183,186,203,255,201,124,106,103,104,112,98,110,107,188,224,218,217,216,216,216,217,214,213,214,213,167,175,179,186,186,216,255,184,125,104,96,106,102,107,107,137,230,220,220,221,220,221,221,217,222,197,210,217,169,178,181,188,187,235,250,158,107,97,99,97,92,105,100,192,231,224,225,224,225,226,221,225,226,169,212,223,173,181,184,190,189,254,239,159,124,113,111,99,100,100,136,235,227,228,228,228,228,228,227,237,196,152,227,224,176,184,187,190,202,255,234,170,135,121,109,103,119,105,175,242,229,232,232,231,232,228,228,227,163,170,238,226,179,185,190,191,228,255,230,171,131,120,104,106,116,103,203,240,233,235,236,234,237,223,216,210,139,179,242,230,182,188,191,194,238,255,225,166,129,118,104,105,108,105,212,246,237,238,237,239,235,211,217,188,127,169,246,233,184,189,194,196,238,255,220,162,129,114,105,101,111,116,165,235,233,242,247,244,221,221,217,175,122,198,246,236,185,191,196,197,234,255,221,171,137,117,105,103,120,138,132,154,173,178,210,212,216,223,214,156,162,249,240,241,188,193,199,199,238,255,221,174,140,121,105,109,136,148,146,161,179,181,166,193,221,214,182,143,237,248,243,244,191,195,201,202,248,255,221,179,146,124,104,117,142,140,147,169,186,197,194,183,207,198,138,205,255,246,248,246,193,197,203,205,254,255,221,183,155,128,108,122,141,142,167,185,194,185,183,170,172,149,167,255,248,250,250,249,195,199,207,207,253,255,220,188,162,132,113,126,146,159,186,190,185,174,160,153,140,125,242,255,251,252,252,252,198,202,208,212,254,253,217,192,169,134,118,128,148,165,179,183,173,162,150,134,120,209,255,252,253,254,254,252,200,203,210,213,246,243,214,200,177,138,129,131,147,166,170,174,166,153,135,140,229,255,255,255,255,255,255,255,203,205,214,214,240,238,219,210,180,144,137,131,149,162,167,167,161,137,152,253,255,255,255,255,255,255,255,255,205,208,215,217,241,238,226,209,175,149,143,133,155,158,160,159,139,138,249,255,255,255,255,255,255,255,255,255,207,210,217,223,251,241,223,200,173,156,148,133,150,151,147,132,142,239,255,255,255,255,255,255,255,255,255,255,210,212,218,230,255,242,229,203,173,156,145,135,142,148,120,167,254,255,255,255,255,255,255,255,255,255,255,255,211,214,218,237,255,243,237,203,170,150,141,134,142,123,163,255,255,255,255,255,255,255,255,255,255,255,255,247,212,215,221,239,251,236,223,190,153,140,134,136,131,145,255,255,255,255,255,255,255,255,255,255,255,214,157,117,214,218,223,237,238,229,221,191,148,139,141,146,122,205,255,255,255,255,255,255,255,255,251,191,135,100,92,93
16,216,217,216,216,218,218,219,219,219,220,219,218,219,221,220,221,220,220,220,221,221,219,220,221,221,219,221,220,217,218,219,219,219,220,220,220,221,221,220,220,220,220,220,222,221,221,222,224,224,222,222,223,223,222,222,221,218,219,219,221,221,220,220,221,223,224,222,223,222,222,223,221,223,223,224,226,225,224,224,224,224,225,225,223,219,219,220,220,221,222,222,223,224,223,224,224,225,224,223,226,229,229,226,224,224,224,226,225,225,225,225,224,219,220,221,222,223,223,223,223,224,224,226,227,226,225,222,204,203,202,223,234,225,225,225,226,225,226,225,224,219,220,220,223,224,223,224,223,225,224,222,214,210,228,240,186,162,151,136,188,235,232,224,227,226,227,226,225,219,221,221,222,224,226,226,226,225,226,218,190,202,247,241,207,185,168,127,88,133,210,236,226,227,228,227,226,219,221,222,224,225,226,224,216,206,251,235,201,223,248,229,215,201,168,118,111,83,95,173,237,225,227,228,226,221,222,223,224,227,223,237,212,212,241,232,210,227,249,211,203,191,160,101,117,99,91,80,160,238,227,229,228,223,223,224,226,227,223,255,227,218,231,230,226,218,234,195,195,178,144,97,104,92,97,96,74,163,242,226,230,224,224,225,227,225,226,236,226,211,231,237,230,223,228,200,191,166,125,95,91,85,94,95,92,70,196,240,230,223,223,224,225,228,232,223,233,226,219,240,232,227,242,217,193,157,113,89,78,80,92,92,92,76,123,242,229,222,221,223,221,239,229,222,236,243,222,232,231,229,239,222,188,141,104,76,62,84,97,96,90,81,94,230,231,221,223,224,223,231,232,228,227,240,223,233,239,237,235,221,174,123,95,51,58,84,100,103,106,81,108,237,229,223,224,225,226,225,234,240,230,243,235,196,249,245,233,222,166,110,62,22,59,79,92,112,106,83,121,242,227,224,223,225,226,226,235,242,245,210,227,202,236,244,235,224,157,95,25,15,48,66,88,121,96,83,130,240,228,224,224,225,226,228,226,228,255,174,186,230,224,238,242,218,147,85,25,10,29,56,100,129,92,77,164,243,230,224,225,225,226,226,226,212,226,251,218,209,224,242,246,210,144,79,46,29,19,64,127,129,93,79,188,243,232,225,226,227,228,227,227,217,198,231,226,216,222,246,247,203,136,76,67,69,46,92,160,144,99,75,186,242,232,213,216,218,221,223,227,232,215,215,218,204,194,236,244,198,124,78,80,80,60,121,188,180,125,71,197,243,229,122,128,132,134,139,145,148,151,153,153,122,126,222,245,196,112,84,88,89,78,135,190,198,160,84,179,237,248,106,106,106,105,103,105,103,101,102,103,105,96,218,253,197,108,112,100,94,93,144,188,205,197,118,168,255,255,113,114,115,113,111,114,114,113,113,113,120,96,202,255,191,116,172,122,110,93,126,177,198,211,150,183,255,255,110,111,111,111,111,112,113,112,113,114,117,100,172,255,185,128,211,145,128,113,93,147,191,186,141,123,255,250,110,110,110,113,113,113,114,113,114,116,120,101,159,255,172,150,237,173,149,134,108,92,148,158,114,154,222,226,110,110,109,110,111,113,113,112,115,115,119,102,155,255,128,202,245,196,168,154,124,91,90,102,105,233,173,196,109,110,109,109,111,111,111,112,114,114,115,110,126,154,183,251,239,209,183,167,135,99,88,81,97,255,220,173,108,110,108,112,111,109,110,114,115,113,114,116,108,115,242,253,245,217,191,175,148,105,89,85,100,255,255,222
4,198,199,200,200,200,199,199,198,198,198,198,197,196,196,197,195,193,193,193,192,190,191,190,189,190,188,186,185,201,200,201,201,201,200,199,198,199,199,197,197,198,195,196,197,196,196,194,193,192,191,190,190,189,189,189,186,201,202,202,203,201,201,200,201,201,199,198,198,196,196,197,197,195,195,195,192,191,192,192,190,189,189,190,188,203,204,203,204,203,203,203,203,202,203,201,200,200,202,199,198,199,197,194,193,193,193,192,191,191,190,190,189,205,204,204,204,204,204,203,201,197,190,195,201,180,173,194,195,182,184,199,195,196,192,192,192,191,191,191,190,206,206,205,206,205,204,206,211,187,171,134,152,175,135,116,172,169,123,142,207,197,198,193,194,192,192,192,190,207,207,206,206,206,202,216,221,193,163,117,97,164,135,87,142,164,121,90,127,145,162,196,194,194,193,192,191,208,208,208,207,203,211,221,197,202,146,104,101,159,121,82,138,156,113,96,69,96,92,134,200,192,193,192,191,209,208,209,209,205,213,220,186,200,148,135,97,165,156,79,129,182,139,97,73,95,87,99,201,192,194,194,192,209,208,209,210,207,212,212,169,190,191,169,100,191,186,80,129,224,160,99,77,134,113,118,203,193,196,195,193,209,209,210,210,205,219,232,204,174,183,140,100,191,164,75,117,212,151,98,104,164,156,112,190,198,196,196,194,210,210,209,211,209,228,221,197,171,143,108,84,118,104,118,191,159,151,159,149,157,149,104,140,207,195,197,194,211,211,213,212,213,224,203,179,150,130,120,108,87,77,134,214,168,159,175,164,160,146,132,108,188,201,195,196,211,211,213,210,216,239,219,197,172,128,105,99,95,99,93,161,170,155,168,160,142,170,166,111,145,208,194,196,212,212,214,211,220,239,219,204,166,122,111,102,94,96,101,122,130,140,158,110,143,192,178,138,106,203,197,197,215,214,216,212,227,238,222,205,159,120,120,104,96,102,117,130,138,162,175,159,155,191,187,144,90,176,205,197,214,215,215,212,228,236,222,185,156,132,119,107,93,125,161,186,195,198,188,196,168,150,161,135,89,141,209,196,215,216,216,213,227,236,219,185,166,126,114,123,154,193,203,204,194,192,177,165,170,132,129,122,98,115,208,195,216,217,216,216,230,234,215,189,172,146,144,169,193,207,200,199,190,181,169,155,155,133,119,119,102,99,207,198,216,216,218,213,217,233,219,196,185,157,158,186,185,212,198,192,184,177,165,150,140,127,114,113,81,128,210,198,218,218,221,135,110,135,180,208,182,159,149,181,180,191,189,182,184,168,145,136,130,113,101,81,102,202,202,201,217,228,192,91,95,86,91,106,106,103,111,147,166,177,180,177,170,151,132,128,113,100,75,89,194,208,204,204,219,227,133,92,93,93,92,59,46,66,64,70,91,117,142,169,159,143,127,112,97,72,87,191,209,202,205,204,232,183,90,96,89,88,91,80,37,58,65,62,59,56,61,86,111,118,105,88,64,97,196,212,205,207,206,205,224,121,90,89,82,81,87,85,36,46,60,62,59,58,55,51,52,66,66,58,122,207,213,207,208,207,207,206,167,90,97,82,77,82,87,78,33,43,56,59,55,53,57,55,55,54,28,105,230,209,209,209,208,208,208,206,106,92,74,104,102,62,93,59,29,46,56,55,51,53,53,51,54,48,37,41,181,221,209,210,210,209,208,207,90,83,72,96,123,76,79,38,35,49,51,50,48,50,50,52,53,41,42,26,125,229,208,212,209,208,208,208
3,56,49,2,35,59,71,79,90,97,102,106,109,112,115,117,119,121,123,126,126,129,131,131,134,135,135,135,136,63,45,3,41,63,74,83,93,99,104,109,112,114,116,118,120,124,123,124,130,130,132,134,135,136,137,138,138,69,40,5,45,65,75,85,95,100,105,110,113,114,117,120,122,125,132,89,124,134,134,135,136,136,137,139,138,70,31,8,49,66,76,86,95,101,106,111,114,116,117,121,123,128,146,82,108,138,134,136,137,138,139,140,140,71,22,14,51,68,77,87,97,103,107,111,114,116,119,122,124,131,144,79,108,138,135,137,139,139,140,140,141,71,16,21,54,69,79,89,99,103,109,113,115,118,121,125,125,135,147,80,113,138,135,138,139,140,141,141,142,69,9,26,56,71,79,91,100,105,111,115,118,122,120,120,121,144,136,77,115,142,138,140,141,142,143,143,143,65,6,33,58,73,81,93,102,107,112,113,116,116,148,134,99,136,114,71,118,143,140,141,142,143,143,143,144,59,5,39,61,75,84,94,102,108,110,130,136,107,123,155,114,89,105,69,127,143,141,143,143,143,145,146,146,51,6,44,63,75,85,96,104,109,107,136,167,144,93,120,124,92,115,75,136,141,142,143,144,146,147,147,147,42,8,48,65,77,87,98,103,112,149,134,101,135,110,85,148,127,109,69,132,145,142,145,146,146,147,148,149,33,12,51,66,79,88,99,103,120,160,147,103,82,123,82,86,99,115,72,92,146,144,146,147,148,148,149,149,23,17,54,68,81,90,101,101,128,135,95,122,106,107,112,49,74,129,122,81,112,152,146,148,149,150,150,150,15,24,56,70,81,90,102,101,136,130,67,84,85,77,86,82,77,115,138,86,107,154,147,149,149,151,151,151,7,29,58,71,82,92,103,102,138,131,109,86,60,74,87,100,83,120,139,79,123,155,149,150,151,152,152,152,3,35,59,71,82,92,102,103,148,142,107,77,66,84,105,106,93,140,145,80,136,152,149,151,152,152,153,153,2,40,61,73,83,92,102,105,147,131,91,73,76,94,116,118,133,155,133,78,140,151,151,152,153,153,153,154,5,43,61,74,84,93,104,104,144,138,103,83,78,100,122,141,161,145,119,75,142,152,152,153,153,154,154,155,9,45,64,76,85,95,104,104,143,144,111,89,83,99,134,163,161,131,95,83,152,152,153,154,154,153,154,155,13,47,65,77,86,95,104,104,140,152,125,94,90,103,150,162,155,130,76,90,157,151,154,154,154,154,155,155,16,49,65,76,85,96,104,105,134,151,126,105,98,108,157,161,146,124,70,101,158,151,154,154,154,155,155,155,20,52,66,76,85,95,103,108,122,142,130,121,110,112,152,153,135,116,65,121,158,151,153,154,155,155,155,156,24,53,67,77,86,96,103,109,115,136,137,127,121,109,137,138,122,100,69,142,154,152,154,154,155,156,156,155,28,54,68,77,86,97,102,109,113,140,142,130,116,102,118,122,114,93,84,155,151,153,155,155,156,156,156,156,31,55,68,77,86,97,103,110,113,151,147,126,111,100,112,110,115,79,118,157,150,153,154,155,156,157,156,157,34,56,68,77,87,97,103,110,116,160,147,129,115,105,119,109,100,75,144,151,152,154,155,155,156,156,156,156,38,57,69,78,86,97,103,109,119,159,155,142,113,117,127,101,75,87,153,149,152,153,155,155,156,157,157,157,41,58,70,79,87,97,102,109,119,160,162,143,112,124,119,95,63,100,155,150,152,153,155,156,156,158,159,158
14,182,182,182,182,182,183,183,183,183,184,184,183,184,183,184,183,184,184,183,183,184,183,182,183,182,182,183,155,184,184,184,184,185,184,185,186,187,186,187,186,185,185,186,186,186,187,185,185,185,184,184,184,183,182,186,142,186,186,186,185,187,187,187,188,187,187,186,187,187,188,186,190,190,187,188,188,188,186,185,185,185,185,186,166,189,188,188,189,189,189,188,188,191,195,187,179,189,188,178,176,186,191,191,189,189,189,188,189,187,187,187,180,191,191,191,192,191,191,189,198,209,183,179,177,180,170,148,160,173,177,181,194,191,193,192,191,189,189,189,186,193,193,193,195,193,198,208,205,191,138,119,138,147,146,115,111,160,147,129,195,193,194,194,192,191,191,191,189,195,195,195,197,191,210,216,158,131,112,83,95,109,115,99,95,120,122,99,178,202,196,191,194,193,192,192,192,196,196,196,198,191,216,211,149,97,89,85,80,85,92,94,89,97,104,115,126,178,176,154,164,197,193,194,194,198,198,198,200,192,221,207,161,113,93,90,86,85,84,92,89,90,118,154,127,109,172,151,152,201,195,196,195,201,199,200,200,194,222,196,142,97,85,89,97,94,84,92,95,92,103,118,97,150,188,128,172,205,197,198,197,200,200,201,199,203,223,193,159,123,95,85,94,87,97,91,110,151,179,161,136,188,178,120,181,205,199,199,199,202,202,203,200,209,225,199,170,142,115,103,87,90,115,98,148,217,205,211,193,192,177,119,176,207,200,201,200,204,205,206,200,215,230,206,174,132,113,106,101,101,104,100,180,209,202,204,182,189,170,119,167,210,201,201,201,205,205,206,201,217,235,211,175,127,107,102,99,113,101,118,210,204,207,198,187,190,165,119,148,214,202,202,202,205,206,206,204,218,234,213,185,145,112,95,96,111,100,144,218,203,208,190,199,193,160,109,171,212,203,205,203,205,206,209,203,217,237,215,187,156,121,96,95,105,90,158,210,210,200,181,202,194,141,128,211,207,206,206,205,208,209,211,202,212,236,216,193,164,125,102,98,96,94,127,144,178,176,183,193,179,122,177,216,206,208,206,206,210,209,211,202,212,235,218,195,170,137,109,86,98,108,121,143,157,165,178,182,151,131,209,210,210,211,209,208,210,210,211,204,213,234,222,197,174,147,121,88,102,113,137,159,168,165,161,160,125,167,218,210,212,212,210,209,211,210,213,203,211,233,222,201,178,151,127,98,101,123,152,169,172,155,144,132,116,203,214,212,212,212,211,211,212,210,213,203,205,233,221,204,181,155,129,110,100,122,154,170,169,153,130,115,137,220,210,211,212,213,213,213,212,211,214,205,203,230,220,207,184,160,132,118,102,115,151,168,164,142,122,116,194,217,213,214,212,213,213,212,214,214,214,205,207,227,220,207,187,166,139,125,112,112,157,166,156,135,108,156,226,213,215,214,214,213,213,212,215,215,217,203,210,231,219,206,192,172,139,129,124,108,154,154,143,127,104,193,222,215,216,216,214,214,215,214,215,215,220,204,215,233,218,206,197,175,142,130,126,110,138,143,137,117,123,220,218,217,216,216,215,215,215,214,216,216,218,205,225,230,220,216,197,175,143,129,123,114,126,132,130,104,173,227,218,218,217,216,216,215,215,215,216,216,214,203,231,231,222,211,190,164,137,125,120,115,121,123,114,135,221,221,219,219,218,217,216,216,216,215,217,218,208,205,228,228,220,200,174,150,130,120,115,119,120,121,115,199,226,219,220,220,219,217,218,217,217,216
15,103,107,109,110,115,115,120,132,141,149,156,159,166,168,170,173,175,178,182,186,188,189,191,193,195,196,197,198,102,106,104,104,109,113,121,132,141,149,156,161,166,168,170,172,177,180,182,186,188,190,193,196,198,196,197,198,105,99,133,166,125,112,117,131,142,151,156,162,168,169,170,172,177,180,182,186,189,190,193,196,198,196,197,199,108,90,170,207,182,160,142,134,140,144,157,166,169,171,170,172,177,181,184,187,191,192,194,195,196,196,200,201,105,98,127,182,171,169,176,166,162,148,146,148,156,161,167,174,181,185,187,188,190,193,194,195,198,198,201,203,103,107,102,125,136,131,152,162,167,172,164,153,152,150,154,155,156,164,173,184,193,192,195,196,199,200,201,203,104,104,108,109,113,116,129,134,134,162,165,163,157,158,166,170,155,137,129,120,177,199,195,199,201,201,202,204,104,106,109,112,112,115,124,130,124,139,149,147,142,138,163,179,180,155,144,112,104,187,200,198,201,202,204,206,104,105,107,110,112,113,125,137,143,148,148,148,141,136,172,175,180,162,163,143,113,120,196,200,201,204,206,207,103,104,106,109,112,114,126,135,142,152,161,164,156,174,190,176,171,183,171,162,146,110,124,201,202,205,206,208,102,104,106,109,111,116,124,134,150,152,156,164,174,201,194,150,171,187,166,183,162,132,95,134,208,201,206,207,102,104,104,108,113,112,128,177,160,162,157,147,180,179,150,129,157,181,158,196,172,135,114,88,159,211,205,208,103,104,106,109,112,109,140,186,176,190,193,165,134,143,118,83,147,161,159,195,173,140,119,102,95,178,212,209,102,103,107,110,111,112,126,149,158,193,203,168,143,155,148,124,142,150,166,173,165,142,122,105,97,98,187,213,102,102,105,106,109,113,123,136,154,172,169,149,160,165,155,161,162,155,132,125,142,132,118,102,100,87,113,203,102,102,102,103,107,112,124,135,143,151,143,134,157,167,162,168,176,161,126,101,114,116,111,109,101,100,88,128,100,103,102,104,106,110,123,134,142,148,207,147,117,128,161,168,170,155,120,103,109,108,108,112,107,102,100,88,98,98,100,105,104,109,122,134,142,146,218,173,111,58,95,148,162,149,120,108,111,108,110,114,110,105,102,95,98,98,99,103,102,109,123,133,142,146,202,165,100,79,71,89,144,120,107,107,112,114,112,114,110,108,105,97,97,98,100,101,102,109,122,133,144,146,201,164,91,123,89,86,123,135,116,113,119,121,117,113,109,108,105,103,95,96,98,100,101,107,119,130,141,143,193,160,86,167,98,141,108,146,141,133,125,117,115,111,106,105,103,105,95,96,96,100,100,106,117,129,143,136,209,158,76,177,148,112,167,136,124,112,114,110,110,110,109,109,108,105,94,93,92,94,93,101,115,127,139,138,201,141,80,166,187,81,176,163,104,130,96,93,98,96,96,101,105,108,142,137,136,138,138,141,143,145,149,149,161,104,119,175,153,108,172,178,169,184,126,83,83,82,84,87,95,103,117,116,117,120,124,122,119,117,113,113,115,103,118,124,120,118,125,125,126,125,125,99,88,96,104,108,111,113,115,116,115,116,115,114,115,114,109,111,114,119,117,114,116,118,115,115,115,115,116,116,116,124,118,126,124,129,119,117,118,121,118,118,119,119,118,118,122,119,119,122,124,121,120,120,121,122,123,124,118,150,135,136,129,139,121,119,118,119,119,119,121,121,122,122,121,119,118,120,121,121,121,121,120,120,120,124,114,151,168,150,147,149
5,143,146,148,151,152,155,158,159,159,159,160,162,162,161,162,162,162,162,161,163,162,161,161,161,161,162,162,162,145,148,150,152,155,157,159,160,161,162,163,163,163,163,164,164,164,164,164,165,164,164,164,164,164,164,164,164,146,148,151,154,158,159,161,162,163,163,164,164,165,165,160,158,167,166,166,166,166,167,168,167,166,165,165,165,148,150,153,156,158,161,162,163,164,165,165,167,164,175,150,109,171,168,168,168,169,168,169,170,168,167,167,166,149,152,155,157,160,162,163,167,167,167,168,166,176,178,129,125,172,169,169,170,170,171,171,171,170,170,168,167,151,153,157,159,163,164,168,147,159,170,168,172,195,131,112,170,172,170,170,169,171,168,169,173,173,171,170,169,153,155,158,160,164,162,181,117,130,176,165,195,176,96,157,176,171,170,178,179,175,128,129,181,173,174,173,171,153,156,159,161,163,169,178,97,148,175,172,186,127,120,180,170,172,187,187,153,137,113,151,178,174,175,175,173,153,157,160,163,162,184,145,103,176,173,171,144,99,159,177,168,182,182,132,105,150,168,179,175,176,176,176,175,154,157,162,163,163,189,132,121,180,172,153,118,105,181,165,167,160,113,114,167,182,178,176,178,176,177,177,176,156,158,162,164,164,191,134,124,182,167,148,125,111,180,154,163,106,105,176,181,177,177,177,179,179,178,178,177,156,158,161,164,166,187,138,119,181,165,151,118,122,159,147,149,92,152,184,177,179,178,179,179,179,180,179,178,157,160,163,166,167,177,171,122,158,170,153,96,119,127,143,126,111,176,180,181,180,180,176,181,182,180,180,180,157,160,164,167,169,168,184,157,119,159,134,119,95,106,129,111,139,186,178,175,180,187,166,132,182,181,180,180,156,159,163,164,170,164,174,187,139,122,116,109,99,102,102,111,159,180,174,181,191,170,176,131,153,190,180,181,157,160,162,165,169,168,169,195,172,128,98,90,92,93,94,120,141,168,181,166,142,121,148,163,127,163,184,180,158,161,164,165,168,170,169,190,181,134,93,89,89,88,94,119,130,137,149,109,114,162,165,160,117,140,185,179,158,162,165,166,167,171,170,183,187,134,90,85,86,84,92,106,113,99,110,139,177,171,170,129,124,185,181,181,159,162,164,166,169,171,170,181,190,140,91,82,86,86,89,98,94,106,170,187,174,167,144,101,177,186,182,182,161,165,167,169,171,171,171,178,191,147,97,81,84,88,85,90,74,133,194,179,168,158,101,121,190,179,182,182,142,148,154,157,160,165,165,172,190,154,104,81,83,84,88,104,110,118,160,171,170,132,95,171,192,186,186,187,89,90,93,94,96,104,95,148,198,161,114,83,85,84,87,107,129,139,119,160,171,117,108,159,158,162,164,166,94,93,92,92,91,94,81,147,197,166,124,87,82,89,98,117,134,144,131,150,150,99,90,91,93,94,96,96,93,93,93,100,99,100,89,153,193,170,130,91,83,88,117,137,149,141,115,116,115,97,103,100,103,101,97,95,92,92,93,95,96,99,89,144,190,172,135,102,94,85,125,143,144,125,100,88,93,104,108,103,102,98,119,153,92,93,94,94,94,97,88,143,184,168,137,113,100,82,119,140,134,107,89,91,99,102,100,91,116,158,183,175,93,94,94,95,94,96,88,159,187,165,142,119,99,83,102,122,113,94,88,99,103,100,95,144,193,187,171,158,92,92,93,94,94,94,91,172,186,161,137,108,91,81,90,99,93,89,97,101,104,101,160,202,183,170,162,144
7,236,237,238,240,243,243,242,243,243,244,244,244,244,245,244,244,244,244,245,244,242,241,239,238,236,235,233,231,237,240,241,242,243,244,245,246,246,245,245,245,246,245,247,248,246,246,246,246,244,243,242,239,236,236,237,234,239,241,243,245,246,248,247,246,248,249,248,249,250,250,250,249,248,250,249,248,248,246,243,242,241,239,237,236,241,243,245,247,248,249,250,249,249,250,252,252,252,252,252,250,250,251,251,250,248,248,245,243,244,241,240,237,244,246,248,248,250,251,251,251,252,252,252,253,253,252,253,253,252,252,253,252,251,250,248,247,246,244,242,242,246,248,250,251,251,253,253,254,254,254,253,255,254,255,255,254,254,254,254,253,252,250,250,250,247,245,244,242,248,250,249,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,251,250,248,246,244,249,251,252,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,251,253,251,248,247,250,252,254,255,255,255,255,255,253,231,247,255,255,255,255,255,255,255,255,255,254,253,255,255,253,251,250,249,251,252,255,255,255,255,255,255,255,225,204,227,243,241,244,244,241,244,245,247,242,255,255,239,255,252,251,250,255,255,255,255,255,255,255,255,255,227,188,205,224,233,233,226,222,226,222,231,223,222,208,236,255,253,253,253,255,255,255,255,255,253,243,243,252,231,193,182,192,212,225,235,233,223,224,228,217,218,224,226,254,250,253,254,255,255,255,254,250,244,242,249,255,245,197,185,184,179,185,190,193,194,204,210,209,212,223,215,224,222,255,254,255,255,244,239,235,237,242,251,247,222,196,189,199,202,194,169,174,230,225,222,214,213,215,219,219,245,255,255,255,251,238,232,234,233,228,239,248,223,184,165,182,203,205,199,176,247,255,255,255,255,255,255,255,255,255,255,255,255,246,240,241,240,235,237,254,237,196,179,186,185,183,183,173,255,255,255,255,255,255,255,255,255,255,255,255,255,252,246,242,240,240,243,253,237,203,201,209,197,198,165,219,255,255,255,255,255,255,255,255,255,255,247,248,251,252,251,245,237,235,237,229,217,200,197,204,200,188,190,255,255,255,255,255,255,255,255,255,255,219,163,207,235,254,248,237,231,224,213,196,179,162,133,144,181,167,229,255,255,255,255,255,255,255,255,255,254,160,164,103,135,188,224,212,194,195,199,224,243,169,122,142,166,193,255,255,255,255,255,255,255,255,255,255,204,154,149,82,75,85,101,170,248,255,255,255,255,255,183,207,232,255,255,255,255,255,255,255,255,255,255,201,148,138,116,77,77,72,75,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,187,165,142,130,118,103,70,69,59,98,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,193,153,151,142,132,117,104,97,71,71,58,87,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,162,116,118,138,127,121,121,111,93,79,75,45,84,255,255,255,255,255,255,255,255,255,255,255,255,255,253,182,154,120,95,112,120,112,115,117,98,79,60,40,68,233,240,242,245,248,250,253,254,255,255,255,255,247,155,123,157,115,87,90,109,104,106,117,108,63,45,45,75,159,156,158,160,162,166,169,169,171,172,169,182,182,132,113,149,112,80,86,95,97,99,110,112,50,49,46,98,173,162,163,165,164,163,163,165,164,160,166,177,164,121,106,139,107,80,81,90,92,94,103,110
14,167,169,171,173,173,174,176,176,177,177,178,177,178,177,176,176,175,174,173,173,172,171,171,169,168,167,166,166,169,171,173,174,175,176,178,178,179,179,179,179,180,180,179,179,177,176,175,175,174,173,172,171,170,169,169,168,171,173,174,176,177,179,180,180,181,181,181,181,182,182,181,181,180,179,178,177,176,175,174,173,172,172,171,170,172,174,176,178,179,181,183,183,183,184,184,184,184,181,180,182,181,181,180,180,179,178,176,175,174,174,173,172,174,176,178,180,181,183,185,186,186,186,187,189,190,178,171,172,173,179,182,182,181,180,179,178,176,175,175,174,175,177,180,182,183,185,186,187,187,189,193,199,195,179,169,162,152,156,172,183,183,182,181,180,179,178,177,176,178,179,182,184,186,186,187,189,190,194,203,203,192,174,174,165,144,125,132,173,185,185,184,182,181,180,179,178,180,182,183,186,187,188,188,190,193,201,202,192,167,127,145,152,149,121,93,135,181,186,185,184,182,182,181,180,182,183,185,187,189,190,191,195,201,204,178,142,116,86,85,102,149,145,92,103,169,187,187,186,184,183,182,182,183,185,187,189,192,193,197,208,213,197,158,113,79,62,55,61,128,158,116,96,156,188,189,187,186,185,184,184,186,187,189,191,193,195,205,216,204,170,134,104,74,51,52,56,105,140,123,97,140,187,190,189,188,187,186,185,187,188,190,192,194,201,216,214,190,143,99,81,67,53,59,95,151,160,147,113,129,185,192,191,190,188,187,187,187,189,191,193,198,215,222,208,182,135,91,64,55,59,106,165,190,182,156,107,122,185,194,193,191,190,189,188,188,191,193,196,212,226,217,201,170,129,93,60,50,86,166,198,194,176,147,98,110,181,196,196,194,193,192,191,191,193,195,207,228,226,213,195,164,129,89,51,48,98,162,196,190,164,139,96,90,160,196,197,196,195,194,192,193,195,200,223,234,224,208,187,156,117,78,54,59,76,103,159,166,149,134,102,88,143,196,199,198,196,195,194,194,197,211,234,232,218,201,178,140,101,71,70,84,89,93,110,129,144,133,102,102,162,199,201,199,198,197,196,195,202,225,234,224,210,191,165,126,96,77,90,102,106,107,104,116,135,120,102,144,192,202,202,200,199,199,198,196,215,234,228,215,199,182,156,123,97,89,102,109,111,108,109,110,118,107,134,188,203,203,202,201,200,199,198,172,215,233,220,202,188,171,149,121,96,94,106,109,107,102,106,97,95,127,184,205,206,205,204,202,202,200,199,107,155,199,201,184,166,147,126,100,87,90,98,103,98,93,95,89,118,179,206,208,207,206,205,204,203,202,201,80,90,121,151,156,135,108,84,71,75,78,84,89,87,90,115,149,186,208,209,209,208,207,206,205,204,203,202,73,73,77,88,92,83,71,59,56,59,60,67,78,95,136,184,206,212,212,211,210,209,208,207,206,205,203,202,69,68,69,67,47,37,40,37,35,36,37,69,123,165,199,213,215,214,213,213,212,210,209,208,207,206,205,203,66,65,64,66,50,24,26,27,24,23,24,65,170,212,216,216,216,215,214,214,213,211,210,209,208,207,206,205,63,61,61,63,54,22,19,22,21,20,21,64,180,218,218,218,217,216,215,215,214,213,212,210,209,208,207,207,59,61,57,61,53,19,16,19,19,18,24,102,204,219,219,219,218,217,216,215,215,214,213,212,211,209,208,207,68,78,57,60,45,15,15,16,16,16,30,133,215,219,220,219,218,217,216,216,215,214,214,213,211,210,209,208
24,169,172,173,176,179,181,182,183,184,185,185,187,186,187,187,187,187,187,187,186,186,186,186,185,185,183,182,181,171,174,176,179,181,184,184,185,186,187,187,188,189,189,189,189,190,190,189,189,188,188,188,187,187,185,184,183,173,175,178,180,183,185,186,187,188,190,190,191,192,191,190,191,192,192,193,192,190,189,190,189,188,187,185,185,174,176,179,181,183,186,188,190,191,192,193,193,194,193,194,194,195,194,194,193,192,192,192,192,191,190,189,188,175,177,180,183,184,187,190,192,193,194,194,195,195,195,196,197,197,196,197,196,195,196,195,194,194,193,192,190,178,180,183,186,189,194,188,193,195,195,195,196,197,198,198,199,199,200,200,198,196,197,197,196,196,195,194,192,180,182,186,187,204,212,168,191,197,198,198,199,201,201,199,200,201,201,201,199,199,199,199,199,197,196,196,194,182,185,188,190,204,221,167,178,200,201,200,200,202,201,203,202,203,226,216,186,196,201,201,201,200,199,199,196,183,186,189,193,196,221,192,167,198,203,202,210,201,207,232,203,185,240,229,173,164,203,202,201,202,201,201,199,184,187,191,194,195,210,229,187,181,202,215,240,211,209,245,217,171,220,235,179,136,194,205,203,203,202,202,200,186,189,193,195,198,200,232,213,170,193,227,251,232,202,238,229,179,202,232,180,125,184,208,207,205,206,203,185,188,191,195,198,200,200,214,229,210,197,220,253,240,202,219,230,180,177,214,167,117,177,211,209,206,211,193,152,190,193,196,200,201,203,205,229,236,224,225,248,245,208,190,226,186,147,184,151,108,155,213,207,196,198,168,137,192,195,198,201,203,206,206,213,235,230,241,246,238,199,163,205,187,129,149,153,105,119,190,189,194,182,141,165,194,196,199,202,204,206,208,208,231,244,233,222,219,192,157,169,175,134,142,167,125,151,174,195,190,146,156,204,195,198,201,203,206,207,209,210,224,245,217,195,192,205,187,151,186,151,135,182,198,217,206,189,161,144,199,212,196,200,203,205,207,209,211,213,220,244,224,202,194,204,199,179,190,168,175,234,237,221,197,163,136,172,214,212,198,201,204,206,208,211,214,215,218,248,246,220,196,199,219,228,215,217,239,243,230,212,185,148,143,203,216,215,199,202,205,208,209,212,214,216,215,241,253,234,208,199,223,243,251,254,251,240,225,201,171,138,171,218,217,216,200,203,207,209,212,213,215,216,215,235,255,244,226,211,216,243,253,255,248,240,222,191,151,140,204,220,219,216,201,205,207,209,212,215,217,219,219,229,254,251,238,226,220,238,252,254,245,236,214,182,140,169,221,221,220,218,202,206,208,211,214,216,218,220,221,224,247,253,244,230,219,229,243,245,235,219,196,169,148,208,224,222,222,220,203,207,210,213,215,217,219,222,223,223,235,254,243,224,209,217,226,225,211,190,162,136,180,226,226,224,223,223,203,208,210,214,216,218,219,220,221,223,229,251,234,208,193,197,204,207,191,162,127,144,220,226,225,225,225,224,204,207,210,214,215,217,216,180,164,167,175,206,192,187,189,195,205,195,174,142,110,184,232,226,225,225,225,224,204,208,211,214,215,218,218,156,130,127,112,108,105,108,106,109,107,99,96,90,83,130,180,225,227,225,224,223,204,209,212,215,216,220,224,166,130,126,109,95,87,77,68,61,53,50,48,47,47,45,116,225,227,227,227,225,206,209,213,215,217,220,225,176,131,123,108,93,86,76,68,59,52,49,48,46,45,49,175,232,228,228,228,226
8,125,130,137,141,143,146,150,154,157,158,159,160,161,162,162,162,163,164,164,164,164,164,163,162,161,161,160,160,127,133,141,145,146,160,153,152,160,161,162,163,164,165,165,165,165,165,165,165,165,165,164,162,162,161,160,160,131,138,145,150,151,180,148,130,166,167,168,168,169,169,169,169,169,169,169,168,167,168,167,166,165,164,162,161,135,142,149,154,157,194,144,115,170,173,174,174,175,175,174,174,174,175,174,173,172,172,170,170,169,167,165,163,138,146,153,158,163,206,144,115,176,179,180,181,181,180,180,181,181,179,178,178,177,176,175,175,174,171,169,167,142,149,157,162,168,205,142,118,181,184,185,186,187,186,188,178,174,190,183,158,175,182,181,180,178,175,174,173,147,155,161,166,173,210,152,120,184,189,191,191,166,177,210,169,128,173,198,140,137,183,186,186,183,180,179,177,151,158,164,170,178,214,161,128,182,193,209,222,171,161,203,180,141,156,178,151,120,166,193,191,189,186,184,182,155,163,170,175,181,217,183,154,178,201,227,234,220,195,175,172,181,197,153,110,110,141,197,195,193,191,189,187,159,166,174,179,184,214,193,179,193,214,215,216,226,184,173,179,187,185,155,108,80,120,199,198,196,195,193,191,162,169,178,183,186,212,203,191,209,216,195,170,219,189,167,170,158,155,167,125,78,131,203,201,200,198,197,196,165,172,180,186,189,213,217,187,203,207,197,161,182,197,138,112,109,159,181,142,96,162,207,205,203,201,200,199,169,176,183,188,192,217,225,165,183,186,167,160,162,192,138,83,80,192,200,161,110,152,211,208,207,204,202,202,172,180,186,191,195,218,228,170,142,171,147,145,154,182,163,112,97,185,218,178,122,110,202,212,210,208,206,204,173,182,188,193,197,217,234,192,133,142,156,142,169,188,174,132,185,214,215,183,129,93,177,218,214,211,209,208,177,184,190,195,200,216,242,207,150,126,160,146,196,213,191,184,228,220,190,158,124,98,177,222,217,215,213,211,179,186,192,199,204,218,245,218,173,132,141,154,195,225,226,235,228,202,175,137,112,109,204,223,220,219,217,212,181,189,195,201,206,220,246,229,191,150,138,156,188,230,236,239,221,187,155,124,95,142,225,225,220,201,162,120,182,190,197,203,208,221,246,236,203,170,152,160,180,229,239,230,206,173,142,111,92,181,196,158,123,86,61,53,184,191,199,204,208,219,241,236,213,184,171,160,175,215,236,222,190,157,130,103,85,103,75,58,56,59,56,53,185,193,200,205,209,216,233,236,222,194,189,165,164,197,226,214,180,145,121,93,66,48,46,48,45,57,60,50,186,194,200,206,211,214,224,235,226,203,194,172,155,189,207,203,169,135,113,85,54,42,40,53,41,46,58,58,187,194,201,207,212,216,217,230,224,208,192,169,140,178,186,188,154,123,102,66,50,42,31,46,50,40,46,54,186,194,200,206,211,216,212,225,226,209,188,162,136,152,175,165,140,114,90,39,36,51,34,35,51,45,37,44,187,194,201,206,211,216,213,225,235,216,188,162,137,136,162,153,129,105,75,27,20,44,47,32,40,48,40,38,188,195,201,206,211,216,214,224,229,207,180,161,137,131,144,142,120,90,61,40,12,29,49,40,31,44,46,37,189,195,202,207,211,217,205,224,223,185,180,166,143,129,132,136,114,69,45,50,17,17,41,48,34,35,44,41,183,190,198,204,210,216,167,221,225,191,195,176,148,126,126,131,105,47,30,51,27,9,31,48,42,34,36,43
5,168,169,171,172,176,176,176,176,177,176,176,177,176,173,175,173,173,172,171,170,167,167,165,163,163,162,161,159,171,172,174,175,178,178,178,179,178,178,177,176,180,178,176,175,175,175,172,171,169,168,168,166,165,164,161,161,172,175,177,178,179,181,180,180,182,181,180,190,143,170,181,178,177,178,176,174,172,171,170,169,167,166,164,163,176,176,178,180,181,182,183,187,185,182,186,202,108,140,189,179,179,178,176,174,174,172,172,171,169,168,168,165,178,179,179,182,181,191,184,147,192,182,195,197,91,143,190,180,181,179,178,177,176,175,175,172,171,171,167,166,179,180,181,186,181,208,165,99,190,183,200,166,81,171,190,184,184,183,180,181,181,178,177,175,174,173,170,168,181,182,186,184,188,216,120,107,196,188,188,142,92,190,187,188,185,181,194,153,162,184,178,178,177,175,172,171,182,184,188,185,204,188,75,163,201,180,164,119,107,195,191,186,183,198,187,100,137,192,181,181,178,177,174,174,184,185,190,184,223,181,79,191,198,165,147,87,139,203,172,172,179,159,99,107,179,186,185,183,180,178,176,175,187,188,189,189,238,167,83,193,191,157,133,75,177,149,155,182,124,77,128,184,189,186,186,185,182,179,178,176,188,191,192,198,235,128,83,209,166,162,139,90,115,108,139,120,80,147,202,189,188,187,186,185,183,181,179,178,189,192,195,196,225,195,88,163,150,149,117,77,80,98,70,95,164,199,191,192,189,188,187,187,186,183,181,178,192,196,200,196,219,219,125,89,111,117,85,68,98,82,94,196,200,193,193,193,191,189,188,188,187,186,183,180,195,197,201,200,211,218,178,120,101,105,77,65,98,85,175,209,197,196,194,194,193,191,191,189,189,187,184,182,198,200,202,203,204,243,219,160,101,86,86,82,78,161,201,178,183,200,201,199,197,194,193,191,190,188,185,184,200,202,204,205,206,243,218,152,94,76,74,87,88,135,136,147,155,160,174,182,189,199,195,192,192,189,187,186,202,203,206,207,214,240,206,142,81,69,67,87,94,104,146,153,188,180,177,182,183,137,183,198,193,190,189,187,204,205,209,204,226,240,216,154,89,62,63,86,97,93,115,85,130,159,154,172,170,116,165,205,193,192,191,189,205,207,210,207,239,233,213,145,95,66,61,75,75,67,94,100,168,170,149,170,204,145,136,207,194,194,191,190,206,211,207,223,238,223,208,140,95,61,53,66,56,151,215,207,218,212,201,210,163,99,192,203,198,196,193,189,209,211,208,240,230,225,204,142,86,59,57,77,86,100,183,226,203,167,171,186,83,143,217,199,201,198,196,194,209,209,217,246,226,221,194,118,78,55,72,81,93,101,107,155,164,179,171,131,48,184,212,204,202,199,197,195,213,205,244,241,219,220,175,104,77,64,97,115,127,122,102,115,158,169,147,71,88,208,209,207,204,202,199,198,212,97,137,230,233,202,155,104,78,82,111,127,129,114,107,109,146,121,79,125,207,212,210,209,205,203,201,198,119,59,53,93,189,191,147,113,79,90,121,117,109,89,103,89,68,92,176,223,214,211,212,210,205,203,201,199,70,64,61,52,59,106,127,89,62,74,104,100,90,79,69,55,116,213,225,215,214,213,211,210,208,205,203,202,75,58,53,57,52,46,33,26,31,41,58,71,63,50,124,197,230,221,217,218,219,216,213,211,209,205,203,203,61,53,51,50,44,52,20,5,18,17,21,26,43,150,235,228,222,221,221,220,219,217,215,211,210,207,204,204
8,166,168,170,170,172,173,174,175,174,174,173,173,173,172,172,172,172,171,171,168,167,167,166,165,165,164,162,160,167,170,172,173,175,175,175,175,176,175,175,175,175,174,174,174,173,173,172,171,169,168,167,167,167,166,164,162,170,172,174,174,176,177,178,177,178,178,178,177,176,177,175,176,175,175,173,173,171,171,170,170,169,166,165,164,172,174,175,178,179,178,178,179,180,179,179,179,177,170,177,176,175,175,176,175,173,172,172,171,171,169,166,165,174,176,177,179,180,181,180,181,182,181,178,189,188,129,168,180,178,176,176,176,175,174,174,172,171,170,168,167,176,179,180,179,181,182,182,183,183,182,179,203,174,102,158,182,180,179,179,178,175,175,174,173,172,170,171,170,178,180,181,181,182,183,184,185,184,184,182,207,151,96,168,183,181,181,180,179,177,176,174,174,174,173,172,171,179,181,183,184,184,186,186,186,186,186,187,207,140,97,179,185,183,182,181,179,178,178,177,177,175,175,173,172,182,182,184,185,186,186,187,188,188,187,195,209,138,109,183,185,184,182,182,181,180,179,179,178,176,175,174,173,183,184,186,187,188,188,189,190,190,187,201,195,121,115,186,186,186,185,184,182,181,180,179,178,177,176,175,174,184,186,187,189,190,190,190,192,191,188,207,192,122,125,191,187,186,181,186,184,182,182,181,181,179,179,176,176,187,189,189,192,193,193,193,194,194,190,215,192,145,141,188,189,197,141,150,189,186,185,182,181,181,180,178,176,187,190,191,193,195,195,196,196,196,193,217,186,159,152,196,206,201,147,104,131,136,171,187,186,182,182,180,178,188,191,193,194,195,195,196,197,197,196,215,192,173,164,211,207,204,176,134,84,86,98,170,163,185,182,182,181,191,193,195,196,196,197,198,199,197,208,223,187,174,180,201,189,193,194,158,142,110,74,106,84,125,187,182,181,193,195,197,199,199,200,200,201,198,219,207,170,164,161,197,173,130,183,177,171,130,76,76,78,64,169,185,182,194,196,198,200,200,201,201,198,206,215,174,141,150,142,187,152,100,104,177,164,128,75,50,67,58,139,191,183,197,199,200,202,202,202,202,201,227,216,182,144,123,113,181,173,134,61,192,176,136,81,46,61,67,167,190,184,197,200,201,202,203,204,202,216,234,209,173,142,124,101,170,177,119,68,174,188,138,84,54,54,120,193,189,187,197,200,203,204,205,205,204,232,230,200,164,139,126,89,98,146,122,114,177,194,140,85,53,104,189,192,190,188,200,200,202,204,206,206,212,236,215,182,169,149,127,101,171,201,191,188,177,179,133,79,94,193,195,193,193,190,201,202,204,206,206,208,225,233,206,191,172,136,123,181,221,211,185,193,163,147,123,84,101,204,196,195,194,191,201,203,206,207,211,186,221,231,205,197,162,131,175,219,212,193,166,176,152,121,115,79,133,203,196,195,195,193,202,204,207,209,207,108,138,228,209,198,149,173,210,220,201,183,159,162,151,98,95,79,191,201,197,196,195,194,203,205,208,215,141,80,74,130,194,185,155,179,204,209,194,179,147,149,138,89,63,135,208,201,200,198,196,194,203,207,213,179,88,77,77,71,93,134,140,167,183,193,182,166,141,142,109,68,74,197,204,202,201,200,198,195,205,209,198,102,79,76,73,77,53,41,70,90,117,148,155,145,135,116,77,54,164,210,204,203,202,201,199,197,205,205,129,79,78,73,71,71,71,23,42,47,45,52,70,84,85,68,48,128,211,206,205,204,203,201,199,196
2,209,210,211,211,211,211,211,211,210,210,210,205,211,207,208,208,206,206,205,204,203,203,201,200,199,198,196,195,212,213,213,213,213,212,212,212,212,212,208,221,224,169,188,213,210,210,208,206,207,206,204,203,202,200,199,197,215,215,216,216,216,215,214,215,212,211,235,230,180,142,144,196,202,167,204,212,208,207,207,206,205,203,200,200,217,217,216,217,218,217,218,215,219,243,238,171,143,136,145,169,174,137,183,212,208,208,208,207,206,206,203,202,218,219,217,218,219,218,217,227,255,245,193,146,142,135,127,137,139,135,130,182,218,209,211,208,207,206,205,204,219,219,219,220,219,220,215,251,251,190,152,134,136,139,134,115,131,143,133,134,181,219,211,210,208,207,206,205,219,221,221,222,223,218,230,255,214,150,130,117,120,128,129,130,131,133,131,121,178,219,211,212,210,209,208,207,222,223,222,224,224,221,255,244,184,148,134,126,114,131,149,154,135,146,158,186,216,214,213,213,212,212,210,208,224,224,225,225,220,244,255,202,155,135,138,136,128,143,140,144,190,214,219,221,218,216,214,214,214,213,211,210,225,225,227,223,236,255,242,184,147,127,135,132,141,134,161,212,226,223,221,219,220,218,217,215,215,215,212,211,226,227,226,227,255,255,226,179,154,144,131,134,144,170,234,226,223,224,224,223,221,220,219,218,217,215,213,213,228,229,225,238,255,249,206,169,152,152,140,138,140,195,235,224,225,225,226,224,223,222,220,220,219,217,216,215,230,232,227,253,255,240,193,159,150,150,147,136,153,228,230,228,225,226,225,225,224,223,222,221,220,219,218,216,232,229,238,255,255,226,183,158,147,146,148,139,196,238,229,230,228,226,227,226,225,224,223,223,221,220,219,218,233,230,255,255,250,208,170,155,151,145,144,147,225,234,231,231,230,229,228,227,226,226,224,224,223,221,220,220,232,241,255,255,237,196,162,152,150,150,139,167,241,231,233,232,231,231,230,229,227,227,228,227,224,223,221,220,232,254,255,255,223,180,155,151,148,149,126,190,245,232,234,234,233,231,231,231,231,227,224,218,224,226,223,222,242,255,255,246,202,166,154,147,141,137,126,156,239,239,233,234,233,233,232,232,221,205,200,191,170,221,225,224,255,255,255,227,191,169,158,143,132,133,138,132,165,232,242,238,238,237,235,211,205,200,185,157,169,224,227,225,255,255,249,216,194,174,157,135,128,138,138,146,148,158,198,224,214,206,208,201,210,184,163,200,231,229,226,225,255,255,252,217,190,170,150,134,135,150,153,166,174,162,157,181,188,200,206,210,199,160,214,239,230,229,229,228,208,216,224,206,186,164,146,138,144,158,171,175,182,182,174,196,199,203,198,182,157,188,240,231,232,231,230,229,113,113,106,107,121,118,119,130,150,165,173,179,184,186,175,189,178,173,179,191,211,235,235,235,234,232,230,229,120,111,93,89,97,92,85,89,117,162,171,176,181,176,155,160,188,218,234,243,242,236,236,235,234,233,232,231,115,106,92,95,100,92,86,82,77,107,167,171,162,160,191,226,245,246,241,239,240,240,238,236,236,235,234,232,110,103,95,95,95,88,83,79,81,76,117,162,186,231,249,247,242,241,242,241,239,239,238,237,236,236,234,234,106,102,94,96,93,86,80,78,83,74,109,234,249,246,242,243,244,245,243,242,242,240,240,238,237,237,235,234,106,100,94,94,92,85,80,78,85,71,195,255,241,244,245,245,245,244,243,243,243,241,242,242,239,237,237,236
7,183,186,187,188,189,190,192,192,192,193,192,192,192,192,192,191,191,190,191,189,189,188,187,187,186,185,184,183,185,187,189,189,191,191,193,193,193,194,194,193,193,193,193,192,192,191,190,191,191,189,188,187,187,186,186,185,186,188,190,191,193,193,194,195,196,196,196,195,194,195,195,194,193,193,192,192,191,191,189,188,187,187,187,186,188,189,191,192,193,194,197,196,197,196,196,196,197,196,195,194,194,194,193,193,192,192,190,189,189,188,188,187,189,191,193,194,195,196,198,198,198,199,197,198,198,197,197,196,196,194,194,193,193,192,191,191,191,189,189,188,190,193,195,196,197,199,199,200,200,199,199,198,197,198,198,198,197,196,195,194,193,193,192,192,191,190,190,188,192,194,196,197,199,201,203,206,204,202,203,204,204,204,203,202,201,201,200,201,199,196,195,193,193,192,191,189,192,194,197,198,199,198,187,181,189,193,187,179,180,181,186,186,183,181,185,176,176,190,193,194,194,193,191,191,194,196,199,199,198,185,159,139,141,152,162,154,147,139,151,166,165,153,163,141,162,196,171,194,196,194,193,192,195,197,196,194,187,177,170,161,137,123,139,145,148,136,140,156,154,150,148,144,153,174,159,194,198,196,194,193,194,191,184,179,181,185,185,167,125,112,125,135,128,109,118,114,119,127,122,120,126,130,165,198,186,194,196,193,186,183,182,182,176,168,177,152,106,116,126,141,140,129,114,124,151,165,157,142,153,154,182,217,157,181,200,195,185,182,179,174,165,161,164,158,124,102,107,123,129,139,134,123,152,169,161,151,150,148,140,153,153,196,199,197,184,177,171,168,167,166,165,168,145,103,82,83,93,112,116,114,126,124,127,121,126,136,148,168,198,202,198,198,178,172,168,165,164,163,164,157,133,103,83,93,153,133,130,137,149,160,168,180,197,205,207,208,203,201,200,199,172,166,161,159,154,153,151,144,125,97,90,82,180,224,209,212,216,216,214,211,208,205,204,204,203,203,201,200,168,164,160,159,158,157,154,151,135,99,87,86,106,218,211,212,210,210,208,207,207,207,206,205,204,204,202,200,168,166,161,161,157,157,161,161,138,100,90,91,88,205,217,212,212,211,210,209,209,209,208,206,205,204,203,202,173,174,170,161,155,146,150,148,128,106,100,95,79,176,223,212,212,211,212,211,210,210,209,207,207,205,203,203,174,174,171,160,153,143,138,132,116,109,109,101,84,109,222,214,214,213,212,211,211,210,210,208,208,206,204,203,168,165,156,143,137,130,123,118,109,105,111,99,78,129,223,214,214,214,213,211,211,210,209,209,208,206,205,204,155,151,136,120,109,106,109,92,90,99,101,120,167,203,218,214,214,213,212,211,211,210,209,209,208,206,205,204,119,129,121,104,121,159,200,173,144,150,180,212,224,217,216,216,215,214,213,212,211,211,210,209,209,208,205,204,59,70,64,133,220,218,218,223,223,222,223,219,215,216,218,217,216,215,214,213,213,212,210,210,209,208,206,205,44,43,47,196,219,213,215,215,216,217,217,218,218,217,217,217,217,215,215,214,213,212,211,211,209,208,206,204,52,38,120,222,211,215,215,217,219,219,218,219,219,217,217,216,216,215,215,214,212,210,211,209,210,210,210,210,58,47,199,218,214,217,218,220,220,220,221,221,221,220,219,218,218,218,218,217,216,214,215,216,209,204,196,184,61,53,189,204,200,202,203,204,204,204,204,203,203,204,202,200,200,199,199,198,197,195,185,153,118,105,90,77
10,144,146,147,149,149,151,152,153,154,154,155,155,156,158,160,161,159,159,160,159,160,161,161,160,159,159,160,160,147,148,150,152,153,154,155,156,156,157,157,158,159,160,161,159,161,161,162,162,162,162,162,162,161,161,161,161,150,152,154,155,157,158,159,159,160,160,161,162,162,162,180,141,143,167,163,165,165,165,165,164,163,162,162,161,153,156,159,159,160,161,162,163,163,163,165,165,165,164,189,141,126,172,166,167,167,167,167,167,166,165,164,164,157,159,162,162,164,165,164,166,166,166,168,168,167,168,192,148,121,173,168,170,170,170,168,168,168,167,167,166,161,162,164,167,168,167,168,169,171,170,170,170,170,171,195,157,122,174,172,172,172,172,171,170,171,170,168,168,164,165,168,171,170,169,171,175,168,175,176,176,175,174,197,165,125,174,177,175,174,174,174,173,173,172,171,170,166,168,171,172,172,172,174,183,139,121,167,162,173,178,199,174,124,170,180,179,178,178,177,176,174,174,174,173,169,171,173,175,176,176,179,166,114,82,105,110,135,186,198,178,121,167,184,181,181,180,179,178,177,177,177,175,171,174,175,177,179,178,180,181,127,88,101,100,107,187,208,185,121,169,187,182,184,184,183,181,180,180,179,177,172,176,178,180,180,182,181,187,171,122,152,117,96,177,188,171,119,172,189,185,186,186,186,185,184,182,182,181,175,178,181,183,183,182,186,196,171,111,187,159,109,130,124,136,115,173,192,189,189,189,188,187,186,185,184,183,178,180,183,184,186,183,183,206,177,88,158,181,133,93,95,114,108,175,194,190,191,191,190,189,188,187,185,185,180,182,185,185,193,202,190,204,186,107,104,194,159,111,98,118,103,175,195,192,193,193,192,192,190,189,189,188,182,184,186,188,192,210,187,193,190,139,77,172,187,136,103,113,100,178,199,194,195,195,194,193,193,192,191,190,183,186,188,190,189,182,166,154,218,180,88,116,197,159,116,100,100,173,201,195,196,196,196,196,195,195,192,190,185,188,190,191,193,184,164,137,189,151,80,99,172,171,142,102,95,177,204,198,198,198,197,197,196,195,194,193,188,190,191,191,194,198,162,154,143,88,96,136,159,171,144,104,92,180,205,200,200,200,200,199,197,195,195,196,189,191,193,194,195,206,188,157,138,114,168,203,175,154,136,105,96,187,204,201,201,201,200,199,198,197,197,197,190,193,194,196,197,212,191,173,173,161,210,211,180,143,128,105,112,203,202,202,203,201,201,199,199,199,199,198,193,194,194,196,198,208,201,189,183,173,215,201,173,142,122,103,128,210,202,203,203,202,202,201,201,201,200,199,193,195,196,198,198,206,202,184,182,178,210,190,164,138,119,99,134,213,204,205,205,204,203,202,202,201,201,200,194,196,198,200,199,201,203,194,195,174,195,184,156,133,115,98,139,214,204,206,206,205,205,205,204,202,201,201,195,197,198,200,201,198,197,198,194,169,191,183,151,128,114,100,148,214,205,207,207,207,206,205,205,203,202,202,196,199,199,200,202,201,198,195,182,159,180,178,150,130,117,102,170,214,206,207,207,206,206,206,205,205,204,204,196,198,199,199,201,200,206,188,166,160,178,161,159,146,114,112,201,211,209,210,209,207,208,208,207,206,205,205,196,198,199,201,202,199,211,199,184,177,174,165,172,154,103,142,215,210,211,210,211,211,210,209,208,208,207,206,195,196,199,200,200,192,209,205,193,182,167,169,165,142,99,183,215,209,211,211,210,209,210,211,209,208,207,206
12,217,218,219,219,219,219,219,219,220,221,221,221,221,221,220,220,220,221,221,221,221,220,219,219,217,217,216,215,220,221,221,222,220,220,222,222,222,223,222,223,223,223,223,222,221,221,223,222,222,223,221,221,220,220,219,216,222,222,222,223,223,224,226,223,225,224,225,227,226,224,226,224,223,224,225,225,224,224,223,223,222,220,220,219,224,224,225,226,224,226,226,225,227,227,230,228,226,229,229,227,225,226,225,226,226,225,224,224,222,221,222,221,226,226,227,228,227,227,229,229,227,226,220,227,235,218,221,231,227,229,227,228,227,228,228,226,225,225,225,223,228,229,229,230,229,230,231,227,242,246,209,176,240,226,179,203,237,231,234,229,229,230,230,229,228,227,227,226,230,231,231,231,231,231,234,228,255,255,239,163,196,255,201,162,232,211,211,234,232,231,233,231,230,229,229,228,230,230,232,234,234,233,234,233,255,255,253,190,157,255,229,179,157,198,157,193,242,232,234,231,233,232,231,230,232,234,236,236,235,236,234,239,255,255,255,219,152,213,240,192,129,155,162,130,235,237,234,234,235,233,232,232,234,235,237,236,237,234,241,229,248,234,250,241,193,148,200,170,111,100,140,123,225,240,237,237,236,235,235,233,235,236,238,239,232,249,255,197,171,194,210,210,158,115,137,142,116,193,150,124,235,239,239,238,237,236,237,236,236,238,239,236,255,255,247,185,151,175,152,183,175,149,185,217,217,204,133,136,246,240,241,241,239,238,237,238,237,239,237,248,255,250,241,203,162,123,126,130,176,191,209,253,255,233,154,160,255,240,243,242,241,241,240,238,238,241,237,255,251,226,250,220,171,122,126,128,116,126,166,250,255,255,222,162,210,251,242,243,241,241,241,240,239,238,247,255,243,205,247,223,198,139,119,137,142,149,207,243,246,234,217,199,147,232,247,243,243,242,242,242,240,237,255,255,246,202,187,247,234,162,120,141,162,222,255,242,241,203,190,209,144,210,254,243,245,244,243,243,243,241,250,255,255,233,180,195,222,228,153,142,245,255,244,239,227,198,168,165,136,235,249,245,245,244,244,243,242,240,250,255,255,244,208,196,182,191,179,237,255,255,243,232,211,188,156,125,162,255,247,248,246,245,245,244,243,241,249,255,255,255,226,219,202,165,224,255,255,255,227,211,190,181,145,114,210,255,248,249,247,246,246,245,243,244,245,255,255,255,249,229,214,200,209,255,255,250,214,186,181,174,130,140,251,250,249,249,248,248,247,246,242,244,237,255,255,255,255,236,218,214,206,255,252,226,201,167,187,165,112,188,255,249,249,249,249,249,249,249,240,243,239,233,255,255,244,234,222,219,215,238,236,201,180,176,183,145,118,236,254,250,249,249,249,249,249,249,242,244,244,231,255,250,233,227,225,219,214,221,217,200,176,176,168,119,162,255,249,250,249,250,249,249,247,247,244,244,245,239,255,251,240,241,234,220,209,218,226,203,163,155,140,126,235,255,250,250,250,250,249,249,248,246,245,244,244,238,255,255,248,248,234,228,205,221,228,178,145,142,117,202,255,250,252,251,250,250,250,249,249,248,244,245,246,237,255,255,254,255,237,238,201,215,212,165,143,120,159,255,252,253,252,251,252,252,250,250,250,249,243,244,247,235,255,255,255,255,243,238,199,199,202,168,136,115,229,255,251,252,251,252,253,252,251,250,250,250,240,242,246,237,254,255,255,250,240,231,193,185,200,164,119,143,255,252,253,252,252,253,252,251,251,250,251,251
17,177,178,180,181,183,186,187,188,189,189,191,193,193,193,194,195,196,198,199,198,198,199,200,199,200,200,200,201,176,178,180,181,183,187,188,188,189,191,192,193,194,194,195,197,198,200,201,202,201,204,202,200,202,201,201,202,177,179,181,184,186,187,188,189,190,192,192,195,196,196,196,198,199,200,193,187,198,175,197,203,203,202,202,203,178,180,182,184,187,188,189,191,191,193,194,195,195,197,197,200,199,203,197,155,150,135,165,211,203,203,203,202,179,181,183,185,187,190,191,192,193,194,197,197,197,198,200,201,200,204,217,175,125,115,168,212,202,205,204,203,180,181,184,187,188,190,193,192,194,196,196,197,199,199,200,202,202,202,220,185,140,102,182,211,203,205,205,205,180,182,185,186,188,191,193,193,194,195,196,199,199,202,203,202,204,202,221,200,156,112,198,208,206,206,205,205,180,183,186,187,188,190,193,194,196,196,197,199,202,185,188,209,203,202,224,201,161,137,211,207,208,206,207,206,181,185,186,188,189,192,194,195,196,198,198,197,203,188,148,179,211,209,225,195,160,147,212,207,208,207,208,207,181,184,187,188,190,192,193,196,196,195,195,198,211,194,173,153,181,204,222,196,157,142,211,208,208,208,208,208,182,185,188,188,190,193,195,193,201,205,176,157,198,212,208,204,163,133,186,192,163,144,210,209,210,210,209,207,183,186,187,189,193,194,196,194,214,216,173,145,188,196,219,214,190,135,134,171,155,141,209,209,209,209,209,208,182,186,188,191,193,194,195,201,204,188,200,169,175,152,174,227,209,163,119,144,143,135,209,211,210,210,208,209,184,187,188,191,192,194,195,205,215,168,165,156,124,111,117,230,222,184,127,123,128,127,208,211,211,211,210,210,185,187,189,191,193,195,194,211,200,161,146,158,130,129,127,215,233,198,145,119,127,122,204,214,210,211,211,211,185,187,190,193,194,196,194,214,208,190,174,165,145,163,151,197,242,199,161,121,125,122,196,215,210,212,212,212,186,188,191,193,194,195,197,222,199,175,169,161,156,178,180,216,222,202,172,126,118,120,198,215,211,212,212,212,185,188,191,193,195,196,204,218,183,167,162,161,172,175,228,237,201,190,171,125,113,113,200,217,213,213,212,213,186,188,190,194,198,195,211,221,189,175,163,166,172,204,245,230,202,181,162,126,109,114,205,215,215,213,212,212,186,188,191,194,198,195,217,224,194,181,162,168,179,233,231,221,199,175,156,123,109,126,217,212,214,213,212,212,187,189,193,194,198,193,222,222,197,190,169,170,202,244,226,218,191,163,151,122,104,155,222,211,213,214,213,213,187,189,193,196,198,193,229,222,202,196,184,172,214,239,218,215,193,155,142,119,109,195,217,212,214,214,213,213,187,190,194,196,200,194,232,228,206,206,196,178,213,230,212,207,192,155,136,111,133,220,212,214,214,214,213,213,187,191,194,196,198,194,226,233,211,211,200,189,200,226,207,206,183,153,130,106,177,222,212,214,213,213,214,214,187,191,195,197,199,195,216,236,215,205,195,197,195,215,201,210,188,146,127,109,198,219,214,215,214,214,214,214,188,192,194,195,199,198,210,234,212,203,190,194,199,206,196,212,191,147,124,118,211,216,215,216,216,215,215,215,189,191,193,196,199,197,212,229,209,202,190,191,197,204,193,210,181,146,121,146,223,214,216,216,216,215,215,215,187,190,193,196,200,197,216,230,219,204,195,197,202,202,189,206,167,139,117,185,222,214,216,216,216,215,215,215
8,231,233,234,235,235,236,237,238,239,238,237,237,238,238,239,238,238,237,235,233,231,228,228,227,225,225,222,219,234,235,235,237,238,239,241,242,242,241,239,241,241,240,242,240,239,238,237,235,234,231,230,230,227,226,224,221,236,238,238,239,243,242,243,243,243,248,255,216,242,243,243,243,242,241,239,237,237,234,233,232,230,228,226,224,238,239,240,241,244,244,245,246,240,255,255,185,243,247,245,245,244,242,241,240,240,238,236,234,232,232,230,228,239,240,242,243,245,246,246,249,241,255,255,184,250,245,250,250,244,246,243,241,242,238,238,238,234,234,233,231,242,244,246,247,248,248,248,251,243,255,255,193,255,255,237,241,255,237,238,246,241,249,237,228,241,235,235,233,246,247,249,249,249,251,250,252,245,255,255,191,255,255,234,208,255,234,199,247,231,255,233,199,246,237,237,235,246,249,250,250,251,251,251,253,245,255,255,192,255,255,252,199,255,246,183,242,234,253,243,185,245,241,238,236,248,250,250,252,252,254,254,255,250,255,255,235,255,255,255,197,255,253,171,244,236,218,255,195,213,245,240,237,250,251,252,254,255,255,255,255,253,255,255,255,255,255,255,188,245,247,168,252,226,172,238,234,182,219,247,239,251,251,254,255,255,255,255,255,255,255,255,255,255,255,255,180,246,235,172,250,202,162,222,255,179,214,249,240,252,253,255,255,255,255,255,253,255,255,255,255,255,255,255,185,241,229,158,213,191,167,249,255,184,233,248,244,253,255,255,255,255,255,255,255,255,255,236,228,224,233,255,182,244,233,143,216,175,192,255,246,185,248,248,244,255,255,255,255,255,255,255,255,255,255,255,208,217,221,229,218,249,218,172,226,184,250,255,211,190,255,249,251,255,255,255,255,255,255,255,255,255,255,255,220,196,216,237,255,237,232,255,255,255,253,241,188,206,252,241,216,255,255,255,255,255,255,255,255,255,255,255,236,200,211,248,255,255,255,255,255,253,220,202,174,165,166,155,139,255,255,255,255,255,255,255,255,255,255,255,255,215,206,250,255,255,255,255,255,238,201,175,156,154,149,142,137,255,255,255,255,255,255,255,255,255,255,255,255,242,223,254,255,255,255,255,251,217,183,160,151,149,140,139,139,255,255,255,255,255,255,255,255,255,255,255,255,255,232,255,255,255,255,255,226,188,161,146,139,118,108,93,79,255,255,255,255,255,255,255,255,255,255,255,255,255,238,251,255,255,255,236,197,163,142,132,123,109,94,91,75,255,255,255,255,255,255,255,255,255,255,255,255,252,235,248,255,255,234,212,171,145,140,133,116,96,84,86,81,255,255,255,255,255,255,255,238,230,255,255,255,236,226,246,249,229,204,174,141,131,134,136,132,105,79,75,78,234,237,239,241,245,246,255,161,136,255,255,252,235,233,239,231,203,173,140,106,113,125,120,132,127,91,70,72,158,157,153,156,156,157,170,158,92,202,255,253,243,232,220,211,179,147,90,73,88,111,106,118,135,109,77,66,156,156,160,158,157,156,160,173,152,152,208,231,231,212,197,180,149,111,45,51,85,101,98,103,127,122,89,66,162,160,164,164,166,164,171,170,148,155,153,163,185,185,165,161,123,69,37,79,117,121,85,93,115,127,104,74,165,161,164,165,166,164,173,172,147,146,145,135,132,135,135,135,104,50,62,109,130,121,76,85,104,124,115,88,165,162,165,168,168,167,177,167,151,148,144,139,127,117,113,108,102,90,91,92,93,81,63,74,94,113,119,98
20,171,175,179,184,188,190,193,196,197,199,200,201,203,203,206,205,208,203,207,204,205,203,204,203,203,202,201,200,173,177,182,187,190,192,194,198,199,201,203,204,205,206,207,206,240,174,187,205,206,207,205,205,205,204,203,203,176,179,184,189,193,195,197,201,202,204,205,206,209,210,209,209,255,165,185,192,177,216,208,209,209,207,205,205,178,182,185,190,195,196,199,202,203,205,207,209,210,211,210,213,251,170,209,208,149,218,211,212,211,210,210,207,179,183,187,192,197,198,202,205,206,207,210,212,213,214,211,216,255,189,206,228,146,213,215,214,213,212,211,210,181,186,189,193,198,200,203,207,209,210,212,213,215,218,212,222,255,188,211,246,156,207,219,217,217,216,214,213,183,187,191,195,199,202,206,209,211,213,214,214,215,215,213,233,253,183,226,242,155,203,223,219,219,218,216,214,185,190,194,198,202,205,208,211,213,213,217,219,219,233,217,233,255,181,233,237,149,203,225,220,220,219,218,216,187,192,196,200,204,206,210,212,215,217,218,212,241,255,246,176,202,180,233,233,151,210,226,223,222,221,220,218,188,194,199,203,206,209,212,213,217,218,224,248,241,223,233,181,131,140,208,212,154,216,229,226,223,223,222,220,190,195,200,203,208,211,215,216,219,215,248,255,255,191,209,215,204,167,153,177,149,220,229,227,225,224,224,223,193,197,201,205,209,213,217,218,221,220,255,211,203,239,166,218,247,204,132,137,142,226,228,228,227,226,225,225,194,199,203,207,211,215,218,219,222,220,255,198,128,145,110,144,237,220,156,122,131,225,231,230,230,228,228,227,195,200,204,209,212,217,219,222,224,225,252,206,188,149,126,116,200,255,194,127,125,227,234,232,231,230,229,229,197,202,205,210,215,218,220,223,226,228,255,246,193,154,145,148,172,255,228,151,115,223,236,234,233,232,231,231,199,202,207,211,215,218,222,225,226,231,255,229,172,151,156,172,200,255,249,178,119,214,240,235,235,233,233,232,201,204,208,214,218,220,224,226,226,231,255,234,188,172,176,185,242,255,246,194,128,212,241,234,236,235,234,234,203,206,209,215,220,222,226,228,230,233,255,249,205,182,193,213,255,255,233,191,131,211,246,239,238,236,236,235,203,207,212,216,220,224,225,230,232,234,255,255,221,187,207,237,255,255,228,184,134,211,249,240,239,237,238,238,203,207,212,216,218,223,226,230,232,232,255,255,226,205,208,255,255,253,223,179,128,208,250,239,239,239,239,239,203,208,213,217,219,223,226,230,232,231,255,255,232,228,214,255,255,240,214,172,121,205,251,240,240,237,237,237,204,210,214,217,221,226,228,231,233,231,255,255,244,244,228,245,255,227,205,169,113,206,252,241,242,240,238,237,204,210,213,217,222,226,229,231,234,234,246,255,253,249,235,219,239,205,197,157,111,214,251,243,243,242,241,240,205,210,215,219,223,226,228,233,234,236,240,255,255,243,213,196,212,191,196,153,117,236,248,243,244,241,246,244,206,212,216,221,224,226,229,232,239,249,240,255,255,222,183,172,199,191,188,129,148,254,244,246,245,252,233,163,202,208,214,221,224,229,233,242,222,125,100,255,240,201,172,164,210,185,171,104,196,255,251,253,255,231,145,115,157,158,161,164,166,172,173,180,168,93,34,209,254,211,171,180,228,161,136,82,73,185,216,214,210,138,104,105,121,118,123,126,127,125,124,126,142,149,104,136,223,199,176,197,218,132,109,57,42,98,127,134,144,118,92,81
4,145,150,153,157,160,163,166,168,170,173,174,176,176,178,179,180,180,179,178,179,178,177,177,176,176,176,175,174,147,151,154,159,161,164,167,169,171,174,176,177,178,181,181,180,182,185,183,180,180,180,179,178,176,177,176,175,148,153,157,160,163,167,168,171,173,176,177,176,177,181,184,190,165,141,172,185,183,182,180,180,179,179,178,177,149,153,158,162,163,166,169,172,177,180,177,187,171,138,173,216,172,114,110,198,184,183,183,182,182,181,180,178,150,154,159,163,167,169,171,175,176,172,189,226,186,137,124,217,174,125,93,169,167,185,186,182,182,182,181,179,152,156,161,164,168,169,172,173,185,184,172,212,200,152,106,201,180,122,57,104,132,120,186,186,184,183,183,182,153,158,161,166,170,172,172,181,218,215,155,138,213,170,104,183,184,116,48,106,144,87,119,195,184,186,184,183,152,158,162,165,170,175,172,194,214,203,142,114,200,153,90,148,160,97,49,115,145,96,73,192,187,186,185,184,154,158,162,168,169,173,173,194,194,193,140,102,178,138,83,107,135,90,63,149,152,93,71,192,188,185,185,185,155,160,164,169,171,175,173,194,188,171,150,112,158,133,86,66,114,64,96,186,138,73,79,196,189,186,185,187,156,161,165,169,173,178,175,196,209,173,157,132,129,172,119,90,111,74,100,147,109,51,82,200,189,191,188,187,157,162,167,170,173,177,175,200,221,192,149,87,96,169,138,162,135,141,147,161,148,82,88,204,189,192,189,188,158,162,167,171,173,178,176,209,216,172,134,97,75,77,97,162,138,165,181,192,173,97,100,204,190,193,191,190,158,162,167,172,175,178,177,216,200,148,116,92,74,69,67,110,141,153,166,170,148,100,82,193,193,193,190,190,158,164,168,172,176,179,180,221,204,163,130,93,78,80,94,98,109,124,127,135,139,118,66,165,201,191,191,191,159,164,169,173,175,178,186,223,201,160,118,95,86,80,94,123,108,142,155,154,156,131,75,118,208,191,194,191,160,165,170,175,177,179,190,222,198,154,115,92,91,81,102,129,136,193,191,197,186,143,95,68,191,197,196,194,161,167,171,175,181,179,192,220,194,155,124,105,97,93,104,123,176,205,209,201,200,156,105,54,158,206,194,196,161,168,171,173,179,179,193,213,189,159,130,117,105,101,99,158,210,208,211,181,177,140,100,57,164,205,194,196,159,165,170,172,177,179,190,209,186,163,133,110,97,105,127,205,218,212,192,169,144,117,73,87,199,196,195,195,159,165,170,172,177,179,186,211,198,157,119,111,105,122,162,221,215,200,169,147,117,88,54,157,205,194,194,195,160,166,170,174,178,182,183,208,199,166,147,145,115,128,184,218,204,183,154,126,101,60,96,206,196,197,195,196,162,166,170,175,179,183,182,204,202,176,151,152,119,115,200,205,187,160,135,107,80,52,172,205,198,198,196,196,161,166,171,174,178,184,179,205,209,181,158,152,118,121,196,188,162,137,108,87,51,104,210,198,198,198,197,197,161,167,172,174,178,183,177,220,215,186,157,139,101,123,179,167,136,110,85,66,50,181,203,198,197,198,197,196,161,168,172,174,182,174,198,226,204,172,147,112,91,132,154,123,91,78,66,42,138,208,197,199,198,197,197,196,158,164,169,173,176,174,221,218,203,182,149,116,113,136,124,85,72,74,51,115,204,197,199,198,198,199,197,198,117,121,120,121,110,166,226,207,202,180,143,127,124,123,107,77,78,77,59,112,124,123,123,122,123,124,125,127
6,152,153,153,154,156,156,157,157,158,158,158,157,157,157,157,156,157,157,158,157,158,157,156,156,154,153,153,154,157,158,158,158,159,158,158,159,159,160,159,159,159,159,159,159,160,160,159,159,160,159,158,157,156,156,156,155,160,160,160,161,161,162,162,162,162,163,163,163,163,163,163,164,164,163,162,162,163,162,160,159,160,160,159,152,163,163,163,164,164,164,164,164,165,166,166,165,165,166,166,166,166,165,165,165,164,165,163,163,164,163,162,144,166,166,166,166,166,167,167,167,168,169,168,167,169,169,168,168,168,168,169,169,167,166,172,167,165,165,165,157,169,168,170,169,169,170,170,171,171,172,173,159,147,169,171,171,170,170,166,167,162,169,194,165,163,168,167,164,172,172,173,173,172,173,174,175,174,174,183,146,102,151,163,164,170,170,160,161,160,153,167,145,163,170,169,169,173,174,176,176,175,176,178,179,178,179,187,154,150,166,162,157,164,161,151,139,131,120,123,150,171,172,172,171,176,177,178,179,179,180,181,180,178,178,182,183,184,173,152,141,124,116,108,106,116,142,166,175,175,175,174,172,179,180,181,181,181,181,176,172,174,178,181,176,160,139,123,107,106,119,139,162,174,180,180,178,177,176,175,174,181,182,183,183,185,182,172,168,165,163,152,128,104,92,106,148,172,179,182,183,182,183,182,180,179,178,178,176,184,184,184,184,191,190,186,179,148,122,119,108,92,103,152,178,186,187,186,186,185,185,185,183,181,181,180,179,186,186,186,186,196,199,202,172,125,112,111,119,126,127,124,127,143,165,188,188,187,186,187,186,184,183,182,181,188,188,188,191,202,204,206,166,138,139,118,112,124,131,123,118,114,104,167,191,189,189,189,188,186,185,184,184,189,189,190,200,210,208,208,198,195,177,129,104,113,120,113,107,105,88,151,195,192,191,190,190,188,187,186,186,191,191,193,205,212,209,208,209,210,188,139,104,110,117,119,112,102,91,142,196,193,192,192,192,190,189,189,188,193,193,196,204,209,209,208,208,204,196,171,138,109,97,112,117,112,98,104,191,195,193,193,193,193,192,192,191,194,194,194,207,208,210,208,208,206,207,205,172,120,94,107,113,106,92,109,193,197,195,194,195,195,194,193,193,195,194,196,208,212,213,211,210,207,208,207,170,123,102,103,106,101,90,101,182,199,198,196,196,196,195,194,194,198,193,201,209,213,215,217,210,206,206,192,151,117,108,102,103,100,93,84,165,202,199,198,197,197,196,196,196,198,187,202,210,213,216,213,203,200,192,167,137,119,111,95,97,97,94,110,187,202,200,200,199,198,198,197,197,195,186,204,211,212,212,200,194,191,175,150,131,130,129,93,77,81,99,174,202,202,202,201,201,200,199,198,198,189,192,209,208,206,200,189,185,183,169,150,141,135,131,83,67,95,166,205,204,203,203,202,201,201,200,200,199,183,197,208,204,199,192,184,181,176,166,156,144,122,106,133,157,189,207,208,206,204,204,204,202,202,202,201,200,182,200,205,195,190,183,185,184,170,159,150,126,98,133,205,208,208,208,208,207,206,205,205,205,204,203,202,201,188,198,198,191,186,175,179,177,162,150,134,109,97,182,210,210,208,207,207,208,207,207,206,206,205,204,203,202,191,195,191,187,180,168,168,163,151,135,113,96,138,208,210,210,210,209,208,209,208,207,208,207,207,206,205,203,192,193,193,187,175,166,161,152,134,113,96,102,189,211,209,210,210,210,209,209,209,208,208,208,207,207,206,205
0,169,169,172,172,172,172,173,173,173,173,172,173,173,172,172,172,172,171,170,169,171,170,168,167,167,167,167,166,171,172,172,174,174,174,174,173,173,173,172,175,174,174,175,173,172,172,174,172,171,173,171,167,167,170,169,168,173,175,176,176,177,177,177,176,175,176,176,175,174,175,176,179,175,174,174,176,173,167,159,173,169,170,169,170,177,179,178,177,178,178,179,179,178,177,178,179,178,178,160,141,166,172,148,134,169,174,104,168,172,171,171,171,178,178,178,178,179,180,181,180,179,179,168,148,170,192,164,121,96,157,144,118,100,153,117,121,183,171,171,171,178,179,179,179,181,181,181,180,181,197,173,127,135,194,165,146,92,150,153,142,93,82,160,101,138,174,175,173,178,180,180,182,182,181,185,158,149,203,178,154,137,191,166,154,90,155,157,137,103,50,140,140,102,110,177,173,178,181,181,182,180,188,201,175,125,169,198,158,127,198,174,148,77,163,154,115,110,31,87,159,135,70,151,181,181,182,183,184,181,198,200,189,163,123,201,164,113,193,179,142,75,132,140,93,93,20,100,172,152,86,132,185,182,184,184,184,190,190,188,197,171,100,175,174,106,164,179,127,73,76,109,84,73,22,139,176,154,89,123,189,181,183,184,182,191,175,136,165,142,84,134,157,98,114,142,98,79,41,71,91,62,48,153,171,147,85,112,189,182,183,185,184,187,191,147,153,117,65,102,128,86,72,107,84,62,29,108,152,129,124,145,157,140,80,108,190,183,186,188,187,191,203,171,158,119,80,86,109,87,52,85,103,99,146,177,163,153,141,121,128,132,85,97,190,186,188,189,187,198,198,167,142,124,97,60,117,117,39,92,173,189,191,176,160,146,132,114,103,114,93,91,188,187,188,189,185,205,214,192,171,144,109,81,112,110,117,183,201,193,182,171,156,140,125,104,94,98,83,107,190,189,188,191,187,207,217,200,176,152,146,145,141,163,196,202,193,187,174,165,151,133,113,95,89,92,75,156,190,189,190,192,188,212,223,202,178,160,155,154,169,185,191,197,193,177,172,156,139,126,104,89,94,77,129,191,185,189,190,194,191,213,228,209,191,178,167,169,182,190,194,195,182,173,168,145,130,114,96,93,80,98,191,187,187,189,190,193,189,211,229,217,199,182,172,170,183,195,193,185,170,162,156,136,119,103,95,89,74,164,193,187,187,190,191,194,191,204,227,224,209,186,170,164,170,177,172,173,157,141,141,119,106,101,91,73,143,195,187,189,189,193,193,195,195,197,220,218,204,187,169,161,168,170,174,171,153,133,129,108,99,91,83,143,194,188,191,191,190,194,194,195,196,193,206,205,188,175,157,160,167,162,172,164,148,137,124,105,85,86,162,197,191,191,191,191,190,193,195,196,196,196,201,189,185,179,168,181,172,146,166,162,141,126,113,91,69,162,200,191,192,191,191,192,192,194,196,197,197,197,201,197,204,195,185,182,174,139,154,162,135,116,104,64,117,204,191,195,195,193,193,193,192,195,196,196,196,196,203,215,212,201,175,173,169,132,152,147,128,111,90,65,171,201,194,196,195,193,194,194,194,195,196,197,197,197,194,224,213,198,165,168,164,137,144,133,124,109,76,79,194,197,196,196,195,194,195,195,194,196,196,198,197,197,191,218,205,189,161,169,172,134,125,131,119,106,72,92,204,195,198,197,196,196,196,195,194,195,196,197,197,196,193,216,195,180,159,170,168,123,132,129,115,103,70,95,204,196,198,197,197,196,197,196,195
13,139,144,149,152,154,156,158,159,162,165,164,164,166,168,167,168,168,168,167,167,165,163,162,161,160,160,157,156,141,145,150,153,155,157,159,162,164,166,167,167,168,169,169,169,168,170,169,169,168,166,165,164,163,162,160,158,141,146,151,155,157,158,160,164,167,168,169,171,171,172,174,175,177,171,171,177,175,167,168,167,165,164,162,162,142,147,152,155,157,160,162,166,169,169,171,173,173,173,168,140,138,179,168,140,145,173,169,169,168,166,165,163,143,148,154,157,159,161,164,167,169,170,173,176,173,176,159,118,76,123,143,103,53,120,181,169,169,167,167,164,144,149,155,159,160,161,166,168,170,172,173,176,174,183,185,139,113,53,107,119,63,52,180,172,171,169,168,166,145,150,156,159,161,164,168,170,172,174,174,176,177,179,194,149,112,46,79,119,73,33,166,178,172,171,169,167,146,152,157,160,161,165,169,172,174,175,177,178,179,178,178,149,99,51,45,88,58,23,159,180,172,172,172,170,146,151,156,162,163,166,170,173,174,177,178,179,174,187,171,148,94,62,34,76,52,24,161,180,174,174,174,171,146,153,158,163,164,167,171,174,176,178,180,167,113,103,106,132,129,84,44,94,72,36,175,179,177,175,173,171,148,154,159,162,164,169,171,174,178,178,192,156,96,71,56,128,167,107,50,81,77,16,144,188,177,177,175,174,148,154,160,163,166,170,172,175,178,174,160,151,112,104,55,60,149,96,42,56,52,25,67,187,178,177,177,176,148,155,161,165,167,170,175,173,178,162,85,89,140,111,86,7,20,13,34,54,47,67,39,130,193,177,177,176,148,154,161,166,168,169,172,179,197,142,93,62,123,123,92,50,0,4,20,52,87,89,63,59,188,180,179,176,148,155,162,166,169,171,172,192,167,132,112,93,76,123,97,77,7,24,75,87,105,95,75,33,165,187,179,178,149,157,162,167,169,170,176,196,140,125,123,97,65,98,102,65,13,24,118,137,126,79,66,35,168,187,180,180,151,157,162,168,170,171,177,192,149,93,93,88,64,43,68,35,13,44,132,135,128,86,42,50,187,183,182,180,150,158,164,169,172,172,178,179,158,121,79,57,26,0,38,56,34,90,156,131,119,84,26,83,200,182,183,180,152,158,164,169,171,173,177,181,178,148,105,70,49,38,52,65,75,162,159,123,102,77,18,124,200,184,184,181,152,159,165,170,171,176,177,178,174,158,127,111,84,81,99,124,152,171,144,114,88,65,22,162,194,185,185,183,151,159,166,170,171,176,177,179,169,150,129,103,79,79,108,172,164,150,127,102,78,46,37,189,190,186,186,183,151,159,165,169,171,174,178,182,155,136,128,104,86,88,97,151,154,141,113,86,69,28,64,203,188,189,186,184,151,159,165,171,173,176,179,187,162,139,129,109,102,94,95,145,151,138,104,71,58,9,120,205,189,189,186,184,152,160,167,170,172,175,178,185,182,141,128,120,105,89,85,125,138,120,83,55,31,29,187,193,191,188,186,184,153,160,167,170,171,174,178,183,189,168,134,119,100,88,80,103,121,104,69,51,8,110,206,189,190,188,187,185,153,160,167,171,172,176,179,183,185,190,156,119,96,82,83,92,111,100,69,46,20,174,197,192,191,190,187,184,152,159,166,170,172,174,178,181,184,185,168,134,114,106,109,104,108,104,64,31,66,200,190,191,190,187,186,184,149,157,164,168,169,172,177,180,184,176,174,145,132,129,121,111,108,93,59,23,110,205,190,189,187,187,185,183
13,141,142,148,153,157,159,162,165,167,168,170,171,173,174,174,175,175,175,175,175,175,175,175,174,174,172,171,172,142,143,149,153,158,160,163,165,167,168,170,172,173,175,175,175,176,175,175,176,177,176,175,175,175,174,172,172,143,144,149,154,158,162,163,166,169,170,172,173,174,176,177,175,177,177,177,178,179,178,177,177,176,175,173,174,143,145,151,155,159,162,164,168,169,171,174,172,174,174,175,179,178,178,178,179,179,178,178,177,177,176,175,175,143,146,151,157,160,163,166,168,170,172,173,174,204,187,144,166,182,177,180,182,179,179,179,178,178,177,176,175,144,146,151,157,161,164,167,168,171,171,171,183,232,213,160,139,186,183,161,162,183,179,180,180,180,178,177,176,144,147,151,157,162,165,168,170,168,180,177,172,226,216,181,137,153,169,143,106,167,185,180,181,180,179,178,177,144,147,152,156,162,166,168,165,185,216,177,149,185,191,167,111,137,135,115,94,137,189,179,181,180,180,180,179,145,148,154,158,162,163,180,167,190,223,188,146,164,181,153,109,147,121,97,92,132,190,180,182,182,181,181,180,146,149,155,160,161,173,220,173,142,205,205,160,133,186,186,173,162,137,94,78,137,191,182,182,182,181,181,180,147,150,156,161,156,198,222,186,144,166,210,170,111,119,181,186,171,173,144,82,150,191,184,183,182,182,181,181,147,150,155,160,161,201,207,198,158,130,199,174,131,63,109,143,168,185,187,131,155,192,183,185,185,184,182,181,145,149,153,157,165,205,192,196,166,118,168,190,141,76,72,92,157,205,205,182,127,175,187,183,183,181,182,181,145,148,154,154,177,221,190,189,179,125,120,194,145,80,76,151,185,185,188,181,130,134,192,183,184,182,182,181,146,149,156,153,208,217,181,167,177,141,90,170,166,123,167,204,190,185,165,148,150,114,178,187,185,184,183,182,147,151,157,153,212,219,191,155,152,173,114,142,202,210,206,189,181,176,154,132,137,116,173,188,184,185,184,183,145,150,156,154,216,223,200,188,168,172,188,203,216,215,194,180,179,157,140,124,111,141,189,185,185,185,184,182,143,149,154,155,218,227,208,199,187,173,194,213,213,209,186,168,161,145,135,109,116,180,187,184,184,184,183,182,146,151,157,155,212,227,214,198,186,174,189,210,209,195,173,153,144,143,122,108,170,194,189,189,187,186,186,186,132,132,138,128,190,227,215,203,188,180,191,208,195,169,157,149,147,132,107,113,142,139,139,137,136,136,135,136,106,107,111,98,146,226,213,205,191,186,189,202,185,157,145,151,142,117,107,104,101,99,99,98,97,97,96,96,113,115,116,111,124,216,208,204,192,181,182,200,187,150,135,137,122,108,108,109,110,108,106,106,105,105,104,104,113,114,115,116,113,201,202,204,198,183,177,196,183,138,125,122,110,107,109,107,108,109,108,106,105,106,105,104,116,116,115,117,107,188,203,208,205,189,173,191,181,135,122,114,107,110,110,108,107,107,108,107,106,107,105,104,117,118,117,119,105,177,210,215,212,197,170,183,184,140,119,107,107,112,109,108,107,107,108,106,105,106,104,104,115,117,117,120,108,156,219,217,213,196,170,176,185,142,115,103,107,112,111,109,108,109,107,105,107,106,105,99,116,117,116,116,114,130,212,208,192,181,169,170,178,142,115,101,109,112,109,109,108,111,107,105,107,107,98,158,116,116,117,118,117,116,204,205,177,175,178,164,169,146,116,100,107,112,110,109,109,112,107,105,107,100,137,211
15,0,27,36,52,62,71,81,91,103,108,113,118,122,126,129,132,134,137,139,142,144,146,147,148,151,153,154,157,0,30,36,53,63,73,81,92,104,108,114,120,124,127,130,132,137,138,141,143,146,147,148,149,152,155,157,158,0,32,41,55,65,74,81,94,106,109,115,120,124,127,131,135,137,139,141,145,146,148,149,153,153,156,158,159,0,34,42,58,67,71,81,96,107,109,114,120,124,128,132,136,138,138,142,146,146,148,152,153,154,156,157,159,8,36,43,56,65,95,92,93,106,113,116,120,123,129,133,136,138,139,142,145,147,151,153,154,156,157,158,161,13,36,47,56,73,147,108,88,82,97,117,124,125,129,133,137,138,141,144,145,148,151,152,155,157,157,159,162,20,37,48,59,71,117,117,103,90,76,84,106,125,134,134,136,139,143,145,146,149,153,154,156,156,156,158,161,25,36,48,62,69,79,97,96,95,88,90,89,89,103,132,142,139,142,145,147,149,152,155,157,156,157,160,163,27,37,50,60,70,79,86,96,83,89,98,104,98,85,79,110,138,146,146,146,148,152,155,158,158,159,162,164,30,39,51,62,71,81,89,103,102,101,100,100,100,96,84,80,85,118,146,151,150,153,156,157,158,160,163,165,33,42,54,63,72,80,88,101,109,113,116,101,85,89,101,102,88,77,87,121,149,158,154,156,158,161,164,166,33,42,55,64,73,81,92,105,108,113,120,122,110,98,80,81,89,83,80,87,87,122,159,157,160,162,164,166,33,42,55,65,73,81,94,106,108,116,133,95,80,103,98,64,54,71,96,101,102,75,103,163,158,163,165,166,34,44,57,67,74,81,93,106,106,125,132,100,68,64,95,95,85,96,98,109,116,95,56,114,172,162,166,167,36,44,58,67,75,83,96,107,107,120,106,90,90,94,104,81,93,100,87,102,111,100,89,64,152,167,165,168,37,46,58,67,76,83,95,105,109,115,120,94,106,131,119,88,59,61,45,93,119,99,114,74,89,173,164,166,37,49,59,67,75,83,95,105,110,109,148,113,95,128,114,93,88,76,56,72,81,93,103,90,50,140,172,165,38,49,59,66,76,82,95,107,106,125,140,92,57,65,100,111,109,105,90,72,68,67,76,85,63,79,174,166,38,49,58,66,76,83,97,107,104,138,112,64,53,6,14,72,121,123,114,104,97,69,53,66,70,44,142,175,39,50,60,68,76,85,99,103,112,145,88,44,39,19,4,0,49,126,130,124,113,79,53,61,65,45,84,179,40,51,61,69,78,85,101,98,125,130,59,43,81,64,43,13,0,79,135,125,113,86,71,65,63,59,46,146,40,50,60,68,79,88,99,110,131,86,36,102,115,85,81,65,0,27,138,124,115,103,94,80,68,64,50,79,41,53,61,70,79,87,98,117,89,51,72,139,126,93,93,89,66,39,124,132,126,117,110,94,76,66,62,52,44,54,62,70,77,87,102,106,90,92,120,120,118,106,83,84,83,73,101,131,130,125,115,100,87,75,68,63,44,54,61,70,77,88,100,104,113,121,122,127,118,97,68,65,59,89,94,110,126,122,113,103,92,80,74,68,44,53,61,70,77,90,101,104,110,117,121,125,133,135,124,111,91,89,105,79,102,111,108,103,94,85,73,70,43,53,60,67,75,89,101,104,110,117,121,125,131,135,141,143,143,144,127,104,95,112,106,102,98,89,76,72,44,53,59,66,74,87,99,102,108,116,120,126,131,135,137,139,144,157,158,145,130,128,110,95,94,97,90,81
19,164,165,166,168,170,171,171,171,171,171,171,171,171,170,170,170,169,168,168,167,167,167,166,165,164,163,163,163,165,165,167,168,170,171,172,171,171,171,171,172,171,171,171,171,170,169,169,169,168,166,166,166,165,164,165,163,165,166,167,168,170,171,173,172,173,172,172,172,171,171,173,171,171,170,170,170,169,167,168,167,166,165,165,164,165,167,169,170,170,172,173,173,173,173,173,173,172,173,173,172,171,171,170,170,170,169,169,167,167,166,165,164,167,168,169,171,172,173,173,174,175,174,172,173,174,173,173,173,172,172,171,170,171,171,170,168,167,166,166,165,168,171,170,172,174,175,175,175,176,179,163,144,160,174,175,175,174,173,172,172,172,171,171,170,168,168,167,166,169,171,173,174,174,176,176,177,177,202,183,155,120,158,176,175,175,174,173,173,173,172,172,170,169,169,167,167,170,171,172,174,175,176,178,178,176,195,203,173,129,105,171,176,177,175,174,174,174,172,172,171,170,169,169,168,172,173,173,176,177,178,179,179,179,184,204,179,133,88,140,178,177,177,175,174,173,173,172,171,170,170,170,168,173,174,175,178,178,179,180,181,179,184,199,172,132,93,114,179,177,177,176,174,175,173,172,171,171,171,170,169,173,174,177,179,179,181,182,183,191,211,192,166,147,115,121,174,176,179,178,176,176,174,174,173,172,171,171,170,174,176,179,180,182,182,182,184,219,207,179,158,165,175,173,166,158,160,165,173,176,175,176,174,174,173,170,171,175,178,179,181,182,183,182,206,213,186,145,125,141,174,191,192,183,173,152,153,155,168,173,174,173,172,172,171,177,181,180,181,182,183,193,226,211,190,160,120,106,135,168,182,188,186,177,169,162,165,155,156,166,172,173,172,179,181,181,183,184,184,214,218,200,180,163,154,138,134,139,146,152,162,172,182,185,190,177,150,143,140,163,172,179,180,181,183,185,194,218,206,174,152,149,142,162,165,155,144,130,117,123,140,155,174,182,172,157,133,127,154,178,180,183,185,187,215,232,213,174,149,139,135,141,169,174,167,150,121,106,142,158,156,155,155,153,151,146,155,180,183,182,184,198,227,229,205,175,159,162,161,158,145,149,163,159,137,123,118,175,181,176,166,155,149,145,147,181,182,184,185,212,227,219,192,168,164,174,177,174,158,102,134,134,138,134,120,166,184,182,181,180,176,171,167,182,183,184,200,222,226,212,178,151,133,161,185,184,186,119,131,115,112,117,131,180,184,184,183,182,181,179,179,182,183,189,219,223,232,211,175,147,134,124,153,163,176,167,147,124,120,118,172,185,185,184,183,182,181,180,179,182,183,201,222,229,232,204,169,156,152,151,144,127,146,176,158,137,122,163,186,185,184,185,184,181,180,178,177,184,186,217,225,231,219,201,175,165,160,158,148,137,134,135,133,130,149,185,187,186,186,184,183,182,181,180,179,183,198,223,225,223,214,197,181,167,166,164,149,134,126,128,112,159,185,188,186,187,186,186,184,183,181,180,180,182,210,223,223,222,208,187,170,152,151,155,149,139,133,130,148,190,190,188,186,188,187,187,186,184,182,182,181,185,218,221,216,213,200,183,153,125,111,120,132,132,135,152,183,192,192,190,188,188,187,187,187,185,183,183,182,198,216,210,202,198,181,153,126,108,92,145,180,175,181,190,191,192,191,191,190,189,187,186,186,184,183,181,181,214,213,196,189,176,152,129,114,106,97,179,195,194,193,193,193,193,192,191,189,188,187,186,186,183,183,182,181
15,111,121,130,138,143,145,148,154,159,163,167,172,175,179,181,185,187,190,192,193,194,196,196,198,199,199,201,200,113,123,131,139,145,147,150,156,161,165,169,173,176,179,184,187,190,193,194,194,196,198,198,200,200,201,203,203,114,124,133,141,148,150,152,158,164,167,171,174,178,181,185,188,191,194,194,196,197,199,200,200,200,201,203,204,115,126,134,142,147,149,152,159,165,168,173,177,180,184,187,190,192,195,197,198,199,201,202,201,203,204,204,205,117,127,137,144,148,149,153,161,166,170,175,179,181,185,188,191,194,197,198,200,201,203,204,204,206,207,207,207,118,128,138,145,149,151,156,162,169,173,177,179,183,187,190,193,195,198,199,200,202,204,205,206,208,208,209,209,119,129,139,146,150,154,158,164,169,174,177,182,185,189,191,193,197,200,201,202,204,206,208,209,209,209,210,211,120,130,140,151,204,185,170,167,169,176,180,184,187,192,193,197,200,202,203,205,206,207,209,210,211,211,211,212,121,132,139,163,226,194,180,178,173,183,183,182,180,184,193,199,201,203,205,206,207,209,209,211,212,213,214,214,123,133,142,151,182,180,172,166,167,186,186,182,175,163,175,185,190,198,204,206,210,213,213,214,215,215,216,216,124,134,144,152,156,159,156,151,157,171,174,174,173,174,182,175,178,183,193,194,187,196,211,216,215,216,217,217,126,137,146,153,158,161,164,170,173,174,170,163,162,172,176,170,165,164,185,196,186,172,164,198,222,218,219,220,127,138,147,154,159,162,166,173,179,183,187,185,182,178,172,161,153,163,183,193,200,170,162,152,190,223,221,222,127,138,148,155,161,163,168,174,179,185,189,193,196,199,198,190,182,193,192,185,193,187,171,176,151,182,225,222,130,140,150,156,163,165,169,175,180,186,190,195,198,202,201,212,236,216,185,149,190,191,172,189,171,142,186,229,131,141,151,158,163,164,169,176,181,187,192,196,216,190,170,186,214,208,167,119,182,188,177,189,187,163,132,187,131,143,152,159,165,165,170,177,183,188,193,201,221,186,158,192,230,219,166,146,168,177,186,186,179,163,139,126,134,144,153,161,166,167,172,178,184,190,195,201,201,169,160,199,231,213,163,155,156,156,170,176,155,154,145,132,134,145,155,163,166,169,173,179,185,192,195,199,207,206,173,192,214,189,165,165,167,164,170,171,145,139,145,142,134,145,155,163,165,168,174,180,187,192,196,199,212,255,215,143,123,125,140,167,176,175,180,176,153,145,146,143,135,146,157,163,166,169,175,182,187,193,198,202,206,253,227,158,82,56,48,69,124,171,177,173,160,158,148,135,136,147,158,165,167,169,176,182,188,194,200,202,205,252,226,153,100,90,65,41,47,134,161,154,144,128,110,94,136,147,158,165,167,169,177,184,189,195,200,204,204,246,225,133,136,135,121,87,64,73,110,100,87,72,67,60,137,148,158,165,167,169,177,185,191,196,201,205,204,240,236,144,171,165,156,146,116,80,73,70,68,63,63,61,136,149,159,165,168,171,177,184,191,195,200,205,205,231,249,154,164,176,165,139,99,75,72,71,72,65,65,62,137,149,159,165,166,169,176,184,191,195,200,203,206,216,253,160,164,223,204,126,85,69,72,72,71,66,65,63,138,149,159,165,167,171,178,186,191,196,200,205,208,216,233,140,180,231,213,118,77,69,72,71,69,66,67,66,139,150,159,166,168,173,179,186,192,197,201,206,209,215,192,162,219,226,224,122,87,77,76,68,66,67,68,68
12,79,85,96,112,118,125,130,137,138,141,144,147,150,152,155,158,159,160,161,163,165,165,166,167,167,167,167,167,79,85,96,113,120,127,132,137,138,142,144,148,151,153,155,158,161,161,163,165,165,166,167,167,168,168,168,169,80,85,98,113,121,129,134,137,140,144,145,147,153,158,156,161,153,163,166,167,167,167,168,171,171,171,170,170,82,87,101,115,122,129,134,138,142,146,150,162,126,126,167,174,118,107,168,163,167,173,169,173,172,173,172,172,82,89,103,118,124,132,136,140,146,140,181,180,135,99,146,177,132,85,113,128,106,156,178,172,174,174,174,173,83,90,103,118,125,131,137,141,147,141,202,189,152,116,124,178,144,115,79,124,95,98,175,175,175,175,176,176,85,92,108,120,125,133,138,142,145,150,204,208,169,123,119,182,149,121,75,112,117,77,146,183,174,176,178,178,86,94,110,120,127,134,140,145,140,169,178,198,184,127,109,187,149,116,71,108,114,78,155,182,178,178,180,180,88,94,110,121,130,136,138,137,147,177,173,161,167,118,89,164,147,105,69,111,107,83,170,182,180,180,180,180,87,95,111,121,130,134,147,193,203,140,97,105,143,100,73,125,113,87,73,109,97,94,182,181,182,181,181,181,88,97,115,122,130,129,186,228,177,121,97,71,125,100,67,106,100,82,71,98,87,101,186,181,183,182,182,182,89,99,114,123,130,138,199,169,155,127,110,71,108,136,76,101,131,96,81,125,102,110,191,182,183,183,184,184,89,100,116,125,127,152,194,137,141,140,114,85,58,98,58,74,126,93,82,144,123,77,134,192,183,185,185,185,90,101,117,125,125,162,187,142,117,140,112,101,46,30,56,85,92,86,114,121,96,74,85,183,187,186,185,186,90,103,118,125,125,166,205,158,125,112,102,88,41,52,101,142,149,139,139,120,102,96,97,185,187,186,186,186,91,106,120,128,124,173,204,158,139,104,84,77,61,87,142,169,169,159,142,115,107,90,126,194,186,187,187,187,92,108,122,128,126,175,199,168,147,113,96,117,110,145,177,181,175,153,128,113,95,81,161,192,187,188,189,189,93,108,120,129,129,169,190,163,144,117,116,127,120,178,180,179,175,144,119,109,88,103,190,187,189,189,189,189,94,110,120,130,132,157,187,159,140,121,120,110,126,172,169,176,163,133,112,103,83,145,195,187,190,189,190,190,95,111,120,129,136,148,186,155,141,131,124,121,145,164,169,168,146,122,106,93,91,180,190,190,191,191,192,193,97,114,124,130,138,142,177,160,152,151,135,128,152,161,163,147,127,111,100,85,123,195,188,190,192,192,193,192,99,113,122,131,140,139,166,171,154,147,133,121,131,148,148,128,108,100,95,89,170,193,189,190,193,194,194,194,101,115,122,131,139,142,158,181,148,140,126,113,109,123,122,112,97,98,86,132,195,188,191,193,193,194,194,194,101,116,122,132,139,145,151,188,161,137,117,107,112,113,113,106,95,92,95,181,189,190,192,193,194,194,194,195,100,116,123,131,139,144,149,186,176,141,119,118,126,114,113,111,96,77,130,196,188,191,193,194,195,195,195,195,102,116,124,131,141,143,162,199,188,151,138,134,132,113,104,100,91,66,141,198,188,192,193,194,195,195,195,195,103,117,124,133,136,163,189,181,209,158,147,133,126,111,99,89,86,63,143,198,188,192,194,194,195,196,196,196,104,118,125,134,137,197,204,152,191,165,151,131,121,108,89,87,85,65,155,197,189,193,194,195,196,196,196,196
24,134,137,138,139,141,141,142,143,142,142,143,142,142,141,141,139,136,135,133,133,132,129,127,126,122,120,119,117,136,140,141,142,143,144,144,145,146,146,146,144,143,142,141,141,140,138,136,135,134,131,128,128,125,123,121,120,138,141,143,144,145,146,147,148,148,149,148,147,145,144,143,143,141,141,140,136,134,133,132,129,127,125,124,122,140,142,145,151,147,149,150,150,150,151,151,149,149,147,147,145,143,142,140,139,136,136,135,133,130,127,127,125,140,149,139,114,152,151,152,153,152,153,154,152,152,150,151,149,146,145,143,142,141,138,136,134,133,132,128,126,140,156,125,54,112,161,153,157,156,155,156,155,155,153,152,152,149,148,145,144,144,141,139,137,135,133,130,129,144,151,116,67,52,153,156,157,158,157,156,157,156,156,154,152,152,150,148,145,144,144,142,139,137,135,133,131,145,153,143,89,34,111,168,157,160,159,162,164,157,157,157,153,152,155,155,149,148,145,144,140,138,137,137,139,148,151,157,117,48,57,165,160,161,161,142,143,165,161,159,162,159,141,136,156,150,147,145,143,142,134,107,91,150,152,157,146,92,39,114,173,161,147,98,60,132,146,95,94,139,108,58,108,159,147,146,147,135,111,68,63,151,154,156,161,123,55,46,163,163,131,118,87,58,100,72,30,63,105,55,26,141,154,149,137,120,87,49,129,152,154,156,163,144,77,41,111,174,123,138,113,64,56,80,42,68,105,59,20,132,161,138,107,105,48,72,149,153,155,158,161,162,127,82,62,150,105,126,129,84,38,76,55,78,108,59,32,149,160,92,82,85,24,113,149,154,158,161,162,165,159,96,63,99,100,89,134,94,54,44,43,72,107,49,58,173,129,65,87,60,46,147,142,157,159,161,165,166,168,126,115,100,86,66,104,106,58,24,20,35,62,28,39,162,80,67,89,35,113,155,142,157,160,164,166,168,169,164,139,100,62,41,43,105,79,53,10,0,22,11,6,57,58,79,64,44,153,147,145,159,162,165,167,169,169,172,140,79,59,50,36,79,117,99,27,0,23,35,60,68,75,83,38,89,161,146,145,159,161,167,169,169,171,173,145,117,94,54,42,71,113,84,35,17,51,89,96,92,71,61,26,134,158,151,148,159,163,167,168,169,174,171,163,140,101,55,47,65,102,83,91,84,82,97,93,86,60,17,60,163,152,153,151,161,165,168,168,171,176,173,159,152,116,82,57,42,93,136,131,124,109,101,90,76,37,21,147,158,153,153,152,161,165,169,170,173,175,176,157,152,126,96,60,49,85,143,141,135,117,98,82,64,8,108,170,154,156,153,152,161,166,169,170,174,176,179,158,138,121,106,68,64,96,136,130,120,105,86,72,31,50,169,158,159,157,154,152,164,167,170,171,174,175,179,165,129,127,114,83,70,98,121,118,115,91,68,49,13,139,167,160,160,159,155,153,165,168,169,172,175,176,176,179,148,126,114,91,60,80,106,106,100,73,53,8,94,174,160,162,159,157,156,154,164,168,169,172,176,177,176,180,169,140,115,88,55,63,87,84,74,52,12,74,176,165,164,162,160,158,156,154,163,167,170,173,177,177,177,180,174,138,109,78,64,66,79,75,56,19,37,179,169,166,166,163,160,160,157,154,164,168,171,174,176,177,178,178,171,143,113,98,90,83,83,76,43,3,122,181,168,168,165,164,162,160,157,153,162,166,170,171,173,176,179,171,165,154,135,110,87,92,87,64,24,32,171,170,169,167,165,163,161,159,156,153
16,86,84,81,79,80,82,82,84,85,90,103,114,124,133,140,147,150,152,157,158,163,169,173,177,181,185,188,190,86,83,81,80,80,80,82,84,83,90,103,113,123,131,139,147,152,152,154,158,163,168,174,177,180,184,187,189,85,83,80,79,80,80,81,81,81,90,102,112,122,131,139,146,150,168,154,136,154,170,174,175,180,183,186,189,84,82,80,79,79,79,81,82,81,90,101,111,121,130,141,147,178,183,155,128,107,120,157,179,181,183,186,188,85,82,78,78,79,79,80,80,81,89,102,113,116,167,183,181,185,162,136,127,110,87,84,128,176,187,188,190,84,81,79,78,79,79,79,78,80,88,101,104,138,201,182,169,163,145,128,111,103,97,83,72,97,146,173,187,83,81,80,78,78,78,78,79,79,88,95,123,189,177,155,149,140,131,115,94,98,101,90,81,76,78,94,119,83,81,79,78,78,77,78,79,79,84,101,176,175,151,142,130,114,105,94,91,89,100,101,88,85,78,76,75,81,78,77,76,77,74,77,78,74,108,155,161,143,135,120,104,94,85,88,88,70,103,100,108,91,83,77,73,79,76,75,74,76,74,75,71,91,184,162,136,127,113,95,87,79,74,83,74,62,110,106,119,98,89,78,71,78,75,72,72,73,73,74,59,161,200,160,126,100,89,82,76,67,75,73,50,68,113,109,118,103,91,77,72,135,131,129,125,120,117,110,121,201,183,144,105,77,67,65,60,65,71,49,33,80,111,109,124,111,103,85,80,116,113,112,111,110,109,107,185,184,158,116,83,63,58,56,42,45,38,22,21,80,106,110,138,132,115,96,81,111,110,110,111,109,102,139,184,151,121,88,69,57,59,47,23,17,11,12,12,69,105,118,146,134,117,108,77,114,114,114,115,111,117,185,162,118,82,70,60,58,59,45,17,7,8,11,9,46,95,128,150,113,114,112,71,115,117,116,116,107,161,183,131,88,61,57,60,65,66,65,50,16,11,13,16,18,94,155,130,92,106,100,63,116,118,119,112,132,175,137,94,63,83,70,65,70,73,71,69,43,39,41,33,41,151,150,105,84,87,75,63,115,117,116,121,175,138,93,61,78,124,92,91,86,81,77,68,60,57,55,42,124,162,125,89,74,69,61,62,117,116,109,166,154,97,62,65,110,102,86,89,90,82,78,71,62,60,46,75,179,148,102,71,63,58,59,63,117,117,113,148,111,67,68,106,115,105,106,94,79,70,71,65,59,61,60,140,185,148,80,58,55,55,61,60,114,117,117,117,106,101,111,115,117,116,115,108,99,86,95,94,92,105,108,186,186,152,78,46,52,68,65,59,114,115,116,115,116,117,115,115,116,116,116,117,118,118,118,117,118,118,113,189,190,152,88,48,82,74,65,63,112,115,116,115,115,115,115,114,116,116,116,117,117,117,117,116,117,117,110,165,173,140,81,93,138,91,82,79,111,113,114,114,115,115,114,115,115,116,116,117,117,117,117,116,117,118,114,132,146,107,79,113,147,117,92,91,111,113,114,114,114,114,114,115,115,115,115,116,117,117,117,117,117,117,116,117,121,98,97,113,137,160,119,104,111,113,112,114,114,114,114,114,114,115,115,116,117,117,117,117,117,117,116,116,116,116,118,115,116,174,149,131,111,112,113,115,114,113,114,113,114,116,115,115,116,116,116,116,118,117,116,117,116,116,119,118,108,168,172,150,112,111,113,114,112,112,114,113,114,115,114,114,115,115,115,115,116,117,116,116,117,116,118,118,106,155,185,162
8,132,138,141,145,146,150,153,154,155,157,160,160,161,161,162,161,161,161,161,159,158,158,158,155,155,155,153,152,135,139,143,146,148,151,153,156,158,161,162,162,163,164,164,163,163,163,163,163,162,161,159,159,158,156,154,154,135,141,145,147,151,152,155,159,159,162,164,165,165,166,167,166,165,164,165,165,164,162,161,161,160,158,158,157,136,142,146,150,154,155,157,161,164,164,166,167,168,168,167,168,167,167,167,167,167,165,164,162,161,160,161,159,139,144,147,152,155,156,167,148,144,171,167,168,169,169,168,169,169,168,169,169,168,167,166,165,164,163,162,161,140,146,150,153,157,156,180,142,96,169,170,171,171,171,171,171,171,172,171,170,169,168,167,169,168,166,164,162,142,148,152,155,158,156,179,154,78,151,176,171,173,174,173,173,174,173,173,171,171,169,169,169,168,167,165,164,143,147,152,155,159,158,176,174,77,134,180,173,176,175,174,176,176,174,174,173,173,173,171,170,169,168,168,168,145,148,153,158,160,162,168,171,83,114,185,174,177,178,180,176,176,177,180,175,174,174,174,173,171,170,169,168,146,150,154,159,163,166,166,186,126,95,181,178,176,158,152,180,177,144,139,182,178,180,174,175,174,172,170,168,146,151,155,159,162,166,165,190,147,77,162,180,195,176,124,146,198,150,90,136,145,144,178,174,176,175,173,172,148,152,156,160,163,168,167,184,155,100,126,186,211,208,153,94,189,161,152,99,100,92,118,186,174,175,175,174,150,153,158,162,165,170,170,181,185,137,116,172,205,216,179,90,142,165,161,147,120,117,83,159,180,174,175,174,150,156,159,162,167,172,174,176,192,134,128,163,170,203,183,103,104,158,121,171,173,175,158,91,157,182,174,174,153,158,161,164,169,172,176,175,188,169,153,184,172,173,184,110,75,137,72,137,169,175,166,87,124,190,175,177,154,158,162,167,170,173,177,175,198,207,149,148,165,147,183,133,72,102,76,87,144,177,165,90,118,192,177,178,155,159,164,169,171,175,177,174,198,183,118,123,136,115,160,192,108,71,69,82,167,195,177,92,112,193,177,179,156,161,166,169,172,174,179,177,194,195,147,121,114,107,128,147,100,86,61,89,175,200,178,94,113,194,179,182,155,161,166,170,173,175,179,178,198,213,170,127,113,116,100,136,149,102,82,145,177,202,168,90,98,193,181,183,156,162,168,171,174,175,180,177,204,209,173,140,106,95,105,170,181,153,164,186,170,172,136,81,80,190,183,183,158,164,168,172,175,176,182,179,207,209,180,158,129,95,108,163,189,211,201,180,155,130,108,65,105,194,182,183,159,164,168,172,176,179,183,180,210,209,182,166,146,109,102,157,211,215,205,177,141,102,82,55,163,190,183,183,159,165,170,174,178,181,183,181,206,210,189,169,158,124,118,168,216,210,188,163,127,86,48,105,196,184,185,184,159,164,170,174,176,179,183,183,199,214,197,179,170,138,121,185,210,190,163,139,106,69,53,174,191,188,186,184,158,163,168,171,174,178,182,183,191,212,201,183,174,148,124,184,197,169,145,114,90,48,111,197,184,187,186,183,159,164,169,172,176,179,183,183,189,213,206,186,168,138,121,173,174,156,137,103,71,56,181,190,188,185,186,184,160,164,169,174,176,179,183,185,190,216,198,175,150,116,124,164,145,131,124,98,43,129,200,187,189,187,187,185,161,166,170,174,177,179,183,181,192,217,190,170,134,125,133,154,133,115,110,71,78,194,190,189,189,188,188,185
1,72,19,49,63,71,80,96,112,123,128,133,136,138,142,146,149,151,153,156,158,159,160,160,162,163,162,163,164,65,19,53,64,71,81,99,113,124,130,134,137,140,143,151,146,123,152,158,159,159,161,161,163,164,164,164,165,54,22,57,65,73,84,103,117,125,131,137,139,141,144,161,145,90,136,139,158,161,163,163,165,165,165,165,165,44,27,59,66,75,85,106,119,126,132,138,140,147,142,155,141,96,132,105,150,164,165,166,166,166,166,166,166,34,31,61,68,77,88,108,120,128,135,139,141,161,132,138,135,102,142,103,141,167,166,167,168,168,167,167,168,24,37,62,69,78,90,111,122,129,135,140,144,166,123,141,137,106,144,103,133,168,167,168,169,169,169,169,169,17,42,63,70,79,93,112,123,129,135,144,146,168,112,138,134,104,147,110,129,169,168,170,171,171,171,171,171,16,48,66,72,81,96,115,124,131,138,155,132,155,106,141,135,103,141,108,127,172,171,172,173,172,173,173,173,17,53,66,73,83,98,116,125,132,147,150,116,145,109,159,137,102,149,115,123,173,173,174,174,174,175,175,174,21,56,67,73,83,100,117,126,133,162,135,110,139,113,163,129,107,166,122,124,174,174,175,176,176,176,176,176,26,59,68,75,85,103,119,128,138,170,121,121,143,112,145,108,107,161,114,127,175,176,177,178,177,178,178,178,31,62,69,76,87,105,120,129,145,170,107,118,128,101,133,101,120,156,106,130,176,177,179,178,179,180,179,180,36,64,69,77,88,106,120,128,156,168,103,109,135,132,131,146,153,151,103,132,178,179,180,180,180,181,181,181,42,66,71,79,89,108,121,129,168,158,113,117,156,148,133,149,144,137,98,131,180,180,181,182,182,181,181,182,47,67,72,79,91,111,121,132,179,167,150,146,168,162,153,142,130,118,93,129,181,180,181,183,183,184,183,183,52,67,72,80,92,112,121,144,187,157,145,144,139,142,168,166,149,123,90,127,182,181,183,184,185,185,185,185,57,68,74,81,93,113,121,162,181,139,119,113,97,117,166,168,158,137,97,121,183,182,183,185,185,186,186,186,61,68,75,82,96,116,123,172,175,139,130,134,131,167,178,169,146,125,92,97,179,184,185,186,186,187,187,187,64,69,75,83,97,117,124,172,181,151,135,142,170,198,185,162,134,103,84,78,165,187,187,187,188,188,188,188,66,69,75,83,98,116,124,168,190,165,145,143,174,203,186,153,126,92,75,75,163,188,187,189,189,189,189,189,68,70,77,84,99,116,125,159,191,166,149,144,166,195,178,147,117,90,72,91,179,188,188,190,190,190,190,191,68,71,78,86,102,118,128,150,185,164,154,147,155,182,169,142,109,88,71,131,189,190,190,190,192,192,192,192,69,71,78,86,103,118,129,142,177,167,162,155,166,176,153,125,100,82,81,165,189,191,192,192,193,193,194,193,68,71,78,87,104,119,128,139,164,166,160,150,157,161,136,112,94,77,98,183,190,192,192,193,194,194,195,194,68,71,77,85,104,118,129,138,152,163,156,147,137,138,126,107,94,74,115,188,191,192,193,195,195,195,195,195,68,71,77,84,103,116,128,137,145,162,157,145,136,135,131,115,93,72,136,188,189,191,193,194,194,194,194,194,68,70,75,84,103,115,126,136,160,168,160,156,146,136,126,113,88,70,146,189,188,190,192,193,194,195,195,194,68,69,75,84,103,115,127,139,180,177,143,156,147,132,112,99,84,65,135,189,188,191,193,194,195,195,195,195
2,175,175,174,175,175,175,175,173,172,171,169,169,168,165,165,163,161,161,160,156,158,157,156,153,152,152,150,147,177,177,178,178,178,178,177,175,175,175,172,171,169,168,167,167,166,165,163,166,161,160,158,157,155,153,152,150,181,181,182,181,181,180,178,177,177,176,175,173,173,174,170,165,157,148,108,128,160,161,163,158,158,154,153,152,183,183,183,183,182,182,181,180,180,179,177,176,170,163,158,148,124,97,56,41,107,125,116,164,159,157,155,153,185,185,185,185,185,184,183,183,182,181,181,175,158,154,148,111,69,44,30,40,76,89,53,149,163,159,159,156,188,188,187,187,186,186,185,185,185,184,181,165,163,142,97,38,24,24,19,21,35,44,27,69,171,161,160,159,190,190,190,189,189,189,187,187,186,186,173,169,148,80,34,18,10,21,18,8,15,24,18,95,175,163,162,160,192,192,191,193,193,192,190,188,189,182,172,167,108,32,26,18,19,12,16,44,42,48,83,164,171,166,165,163,195,194,195,194,193,193,192,191,192,177,174,147,71,27,25,20,17,44,114,172,165,168,178,174,170,169,167,164,197,197,197,197,197,195,194,195,186,175,167,106,35,17,27,17,112,183,186,180,181,178,174,174,173,170,168,166,197,197,197,199,198,198,199,191,172,185,160,88,43,26,23,38,186,186,180,180,181,180,177,176,174,173,171,168,200,198,200,199,199,199,202,172,180,191,148,86,55,34,9,122,195,182,184,184,183,181,178,178,176,175,173,170,201,201,203,202,200,203,192,168,193,178,137,88,50,24,58,195,189,189,189,187,185,183,180,180,178,175,174,173,202,202,204,204,203,205,176,174,202,168,120,73,39,16,98,207,187,191,191,189,185,184,183,181,178,177,176,174,204,204,205,204,205,200,164,191,201,150,110,71,39,15,132,206,190,192,191,189,187,184,181,183,184,181,176,176,207,206,205,204,210,183,174,207,186,128,105,68,32,24,185,199,193,193,192,191,187,188,189,179,163,164,183,176,207,206,206,208,207,169,197,203,160,121,114,65,32,17,137,210,196,193,191,190,197,180,139,113,104,92,122,180,207,206,207,212,189,180,206,182,139,135,109,57,24,28,39,101,194,199,198,195,152,94,86,101,102,72,88,179,209,209,209,210,179,193,195,168,137,131,96,46,20,32,48,36,98,202,162,114,79,75,105,101,65,112,179,181,210,209,213,197,182,191,186,158,134,122,76,33,26,47,51,53,49,71,66,75,91,92,82,52,128,191,184,180,213,212,212,186,189,188,176,145,128,104,63,29,46,61,59,58,58,46,67,81,74,58,46,129,197,185,184,183,213,215,200,190,193,185,165,140,113,92,58,36,61,61,59,58,55,50,55,49,65,123,172,196,189,190,187,185,214,207,192,197,194,182,163,123,94,89,52,45,60,58,54,52,41,23,42,120,183,207,196,189,191,190,189,186,216,192,192,182,187,177,143,105,87,72,40,49,56,58,51,28,46,97,171,209,201,196,196,196,194,192,190,187,200,185,173,178,174,155,116,76,62,44,43,47,47,38,17,70,184,215,207,199,200,199,198,197,193,191,190,189,189,182,162,171,157,142,101,62,54,44,33,19,23,45,123,209,210,204,202,201,202,200,198,198,196,191,191,190,189,173,164,172,164,148,84,60,53,35,58,117,159,200,220,208,206,206,204,203,201,200,199,198,197,193,192,190,184,169,163,171,162,136,69,57,41,66,197,225,220,211,205,207,207,204,204,204,200,199,198,197,195,193,192,189
17,200,203,206,208,210,213,212,213,215,215,216,216,215,214,213,213,214,211,210,210,208,208,206,203,202,200,198,195,201,206,209,212,214,213,215,216,217,218,218,218,218,218,217,216,217,215,213,214,211,209,208,206,205,202,200,197,205,210,212,214,217,217,218,218,220,221,221,222,222,221,220,219,218,217,218,217,215,213,210,209,207,205,203,201,207,212,214,216,219,220,220,221,222,223,224,225,225,225,224,219,224,223,216,221,217,217,214,212,209,208,205,203,211,215,217,219,220,222,223,223,225,226,226,227,226,228,223,234,236,189,178,227,219,219,217,216,212,210,208,207,213,217,219,221,223,226,226,227,226,227,229,228,228,229,223,243,255,159,145,231,221,222,220,219,216,214,211,210,216,219,221,224,225,227,229,230,231,231,231,231,231,232,230,231,255,200,154,232,223,225,223,221,219,217,215,213,219,221,226,227,228,228,231,233,233,234,234,236,235,234,233,234,255,243,170,229,228,226,225,223,221,220,219,216,220,225,227,229,231,232,234,235,236,236,236,237,238,236,234,244,255,255,176,216,234,228,228,226,225,224,221,219,224,227,229,233,235,236,236,237,238,240,241,239,238,239,232,255,255,255,179,200,241,232,230,228,228,226,224,222,226,229,232,235,237,237,237,240,241,240,238,240,255,255,224,225,255,255,187,188,244,233,233,230,229,227,226,223,227,231,233,236,239,238,241,242,241,245,249,241,255,255,254,197,227,255,204,179,244,235,235,234,232,230,229,227,230,233,236,238,241,242,244,243,241,255,255,245,222,255,255,255,255,201,167,172,243,238,238,236,235,232,230,228,232,235,238,240,242,243,244,244,250,255,255,255,202,221,199,255,255,225,143,150,244,242,240,237,236,235,233,230,233,236,240,242,243,244,247,246,255,255,194,219,244,154,126,159,255,255,170,125,234,246,241,240,237,237,236,233,234,238,241,243,244,246,249,246,255,255,214,199,188,157,156,127,255,255,213,119,208,252,241,242,240,238,237,234,237,240,242,246,247,250,253,248,255,255,255,215,186,185,196,174,250,255,241,139,198,255,243,244,242,239,237,237,240,241,243,247,250,252,253,249,255,255,226,195,200,219,224,237,255,255,252,159,193,255,246,246,246,251,249,237,240,242,246,248,250,251,252,249,255,255,247,220,216,240,235,255,255,255,237,165,191,255,247,252,235,194,183,152,240,243,245,248,250,250,252,250,255,255,255,233,216,244,255,255,255,255,220,159,197,255,250,241,150,129,126,120,241,243,246,248,251,252,254,254,255,255,255,255,224,250,255,255,255,255,211,150,192,255,255,189,124,133,128,126,241,245,248,250,253,254,255,255,255,255,255,255,247,247,255,255,255,253,204,137,197,255,200,124,111,97,89,73,241,246,250,252,255,255,255,255,255,255,255,255,255,255,255,255,255,245,203,130,187,191,123,111,101,78,76,59,244,247,251,253,255,255,255,255,255,255,255,255,255,255,253,255,255,242,189,133,127,124,123,112,93,66,62,65,237,241,247,251,253,255,255,255,255,255,255,255,255,246,235,253,240,242,183,127,107,119,115,119,107,70,51,55,156,159,164,166,163,164,168,172,170,199,255,255,255,225,221,228,241,232,168,117,79,100,101,98,121,95,52,44,132,137,138,134,134,134,133,133,131,157,255,255,228,211,214,225,238,208,135,108,87,63,91,79,107,116,68,41,146,148,148,144,149,151,150,148,156,101,255,255,222,211,223,220,212,173,103,35,67,57,67,71,84,113,87,47
5,166,170,172,176,178,181,185,186,186,187,187,190,190,188,190,190,189,190,189,191,190,189,189,188,189,190,190,190,168,172,175,178,182,184,186,188,189,190,191,191,191,191,192,193,192,193,193,193,192,192,193,192,192,192,193,192,170,172,176,180,185,186,188,190,191,192,192,193,193,194,187,185,196,195,195,194,195,196,197,196,195,194,193,194,172,175,179,182,185,188,190,192,193,193,194,197,193,206,175,124,201,197,197,198,199,198,199,200,197,196,196,195,174,178,182,183,188,190,191,196,197,196,197,195,207,210,149,144,202,198,199,200,200,201,202,201,201,199,198,197,176,179,183,187,191,192,197,171,187,200,198,202,231,151,128,200,202,200,199,199,201,198,199,204,203,201,200,199,178,181,185,188,192,190,213,134,151,208,193,231,207,108,184,208,201,200,209,211,206,147,149,214,203,205,204,202,178,182,186,189,191,199,210,109,172,206,203,221,146,138,213,201,202,221,221,179,159,129,177,210,205,207,206,204,179,184,188,191,190,218,168,117,207,203,201,168,112,186,209,198,216,215,152,119,175,198,211,206,207,208,208,207,180,184,189,192,191,224,153,139,212,202,178,134,119,213,194,196,188,128,130,196,215,210,208,210,208,208,208,208,182,186,190,193,193,226,155,143,215,196,173,144,127,212,180,192,120,119,208,213,208,209,209,212,211,210,210,209,183,185,189,193,196,221,160,136,214,194,176,135,140,186,171,174,103,178,217,209,212,209,212,211,211,212,211,209,183,187,191,195,196,208,202,140,185,199,178,108,136,147,166,146,126,207,212,213,213,212,208,214,214,213,213,212,184,188,193,197,199,198,217,183,137,186,155,136,106,120,149,126,161,220,210,206,213,221,194,152,215,214,213,212,183,186,191,193,199,193,205,221,162,140,133,123,111,115,115,127,186,213,205,214,226,200,207,152,179,225,213,213,183,188,191,194,198,198,199,232,203,148,110,101,103,104,106,138,164,198,214,196,165,138,173,191,147,191,218,213,184,189,192,194,197,200,199,225,214,155,104,99,99,97,105,137,150,159,174,124,130,190,194,187,134,163,219,211,185,190,193,195,197,201,200,217,221,155,100,94,96,93,103,120,129,112,125,161,209,201,200,149,142,219,214,214,186,190,193,195,199,201,200,213,225,163,101,90,95,95,98,110,105,120,200,221,205,197,167,114,209,220,215,215,189,194,196,199,201,202,201,210,226,172,108,89,93,98,94,100,80,154,230,211,198,185,113,139,225,212,215,215,166,173,181,184,188,193,194,202,225,180,117,89,92,93,98,117,126,135,188,201,200,152,107,202,227,220,220,221,99,100,104,106,108,117,107,172,236,188,129,91,94,93,97,121,149,162,137,187,201,134,123,186,185,190,193,195,105,103,102,102,101,105,89,172,233,195,142,96,90,99,110,134,155,168,151,174,175,112,100,101,104,105,108,107,104,104,104,112,112,112,99,178,228,200,149,102,92,98,134,158,173,163,132,132,131,109,116,112,117,114,109,107,103,102,104,106,107,112,99,168,225,203,156,115,105,93,144,166,168,144,112,98,104,117,122,116,114,110,137,179,103,103,105,106,105,109,97,166,217,198,159,129,113,90,137,163,155,122,98,101,111,115,113,102,133,185,216,206,103,105,105,106,105,107,98,186,221,194,165,136,112,91,115,140,129,106,98,111,117,112,107,168,229,222,201,186,102,103,104,105,105,106,101,202,220,189,159,122,101,89,101,111,104,98,109,114,118,113,188,240,216,199,190,167
24,164,167,168,169,170,170,171,172,171,171,172,171,171,170,170,169,166,165,164,163,162,160,158,157,153,152,151,149,166,169,170,171,172,173,173,173,174,174,175,173,172,171,170,170,169,168,166,165,164,162,159,158,156,154,153,152,168,170,172,174,174,174,175,176,176,177,177,175,174,172,172,172,170,170,169,166,164,163,162,160,158,156,155,154,170,172,174,177,176,177,178,178,178,179,179,177,177,175,175,174,172,171,169,168,166,166,165,163,161,158,158,156,170,176,168,147,178,180,180,181,180,181,181,180,180,178,178,177,175,174,172,171,170,168,166,164,164,162,159,157,171,182,154,101,144,185,182,183,183,182,183,182,183,181,180,179,177,176,174,173,172,171,168,166,165,163,161,160,174,178,148,108,95,178,184,185,185,184,184,184,183,183,182,180,180,178,177,174,173,173,171,168,167,165,164,162,175,180,171,123,82,144,190,186,186,186,187,188,185,184,184,182,181,181,181,178,176,174,172,170,168,167,166,166,176,180,182,148,93,99,187,188,188,187,172,171,189,187,185,186,184,171,165,181,178,175,174,173,171,163,141,128,178,180,184,174,126,86,146,194,189,175,134,106,161,171,133,131,165,141,104,140,182,177,175,175,165,142,109,106,179,181,184,186,153,98,90,186,190,162,149,123,102,134,109,81,105,134,98,74,169,181,177,166,152,123,93,156,180,181,184,188,172,115,88,143,194,156,166,144,105,97,112,88,107,135,100,68,163,185,168,142,136,93,112,172,180,183,185,188,188,157,118,104,175,141,157,158,120,84,110,97,117,137,101,78,177,184,129,121,118,73,146,174,182,185,187,189,192,183,133,106,133,134,126,162,129,96,84,86,111,133,95,99,191,161,108,120,101,91,172,173,184,186,188,191,192,192,158,148,133,121,107,136,137,100,69,67,78,99,76,83,182,120,108,120,82,146,179,173,184,187,190,192,193,194,189,167,133,103,87,86,138,117,94,58,47,67,59,56,99,99,115,105,88,177,177,174,186,188,191,193,194,195,196,169,118,99,89,81,119,146,129,72,34,67,78,100,107,113,116,85,126,183,176,174,186,188,192,195,194,197,197,175,150,129,94,85,110,144,122,80,64,92,124,130,126,110,99,73,164,183,179,176,186,189,193,194,195,198,197,188,168,136,97,90,104,135,122,127,119,119,132,129,122,98,68,101,185,181,180,179,188,191,193,194,196,200,198,187,179,149,119,96,87,128,162,161,156,143,136,126,113,81,71,171,185,182,181,180,188,191,195,195,198,200,200,185,179,156,131,100,92,122,170,171,164,149,133,119,100,60,141,191,184,183,181,179,188,192,195,195,199,201,202,185,168,153,139,108,105,130,165,162,153,139,123,108,78,94,189,187,186,184,181,180,190,193,195,196,199,200,202,191,162,158,146,119,110,132,151,152,147,127,107,88,65,165,191,188,187,186,183,181,191,193,194,197,200,201,201,202,177,158,146,126,102,117,139,140,133,112,91,62,129,195,189,188,186,184,183,182,190,194,195,197,201,201,201,203,193,169,146,123,97,103,123,121,113,91,63,113,195,193,191,188,187,185,184,182,190,193,195,198,201,202,202,204,198,169,143,116,104,105,117,113,95,68,83,196,196,193,192,189,187,186,184,182,190,193,196,199,201,201,202,202,196,172,147,133,125,120,120,113,83,56,152,201,195,193,191,190,188,186,184,181,188,192,195,197,198,201,203,197,191,181,164,143,124,127,123,102,71,76,192,197,194,192,191,189,188,186,184,181
19,95,100,108,113,124,135,142,149,154,157,160,165,169,173,176,178,182,184,186,188,190,193,193,195,197,197,200,200,95,101,107,114,126,135,144,151,156,159,161,165,170,174,177,182,184,185,189,191,193,194,195,199,200,200,202,201,97,104,110,117,128,138,146,154,159,161,164,168,172,175,179,184,185,188,192,193,195,197,199,201,202,203,204,204,98,105,113,119,130,141,148,156,160,162,167,169,175,180,184,187,190,193,193,196,199,201,203,203,206,206,204,207,99,107,113,120,132,142,151,158,162,165,167,172,176,182,184,189,194,197,194,199,201,202,204,204,207,204,215,201,99,108,115,122,134,144,153,159,164,167,169,174,181,181,199,197,165,185,204,200,203,205,206,207,203,230,243,129,100,108,116,123,135,146,156,162,166,168,172,176,182,180,242,207,152,119,192,203,203,205,216,219,230,237,164,110,100,109,116,124,136,146,157,164,168,170,173,180,184,179,227,228,166,142,197,221,209,214,229,230,210,149,117,188,101,111,116,126,139,148,157,165,169,168,178,173,181,190,208,226,212,222,218,212,201,183,199,180,126,132,196,223,103,111,117,126,142,151,159,167,165,204,226,179,170,179,195,204,196,184,172,182,162,137,135,138,175,220,221,217,104,112,117,128,141,151,161,167,170,244,207,185,186,193,205,205,191,174,170,154,155,113,194,219,227,219,221,221,103,113,117,130,141,151,163,162,188,227,172,172,183,203,210,205,201,192,168,118,106,133,232,219,220,223,223,222,106,114,120,131,143,152,164,159,208,220,184,182,190,189,177,170,174,156,134,109,84,162,231,218,223,224,223,224,107,114,121,132,144,154,163,164,255,240,211,208,208,196,193,184,165,108,100,105,88,191,230,223,226,225,227,227,108,115,121,135,148,157,165,173,255,233,208,189,179,188,191,182,151,104,94,107,99,207,227,224,227,227,229,229,107,115,122,135,147,159,168,173,233,221,189,165,135,131,154,150,143,109,100,102,131,228,223,226,227,228,230,230,109,114,122,138,148,159,168,172,219,221,190,130,115,83,70,121,150,113,104,107,129,233,226,227,227,229,230,231,110,114,123,138,150,161,170,170,217,225,190,135,98,54,107,149,149,107,102,102,102,217,229,226,229,231,233,233,110,115,124,139,150,161,174,163,214,227,190,152,122,84,88,101,90,81,90,102,102,207,234,228,231,232,232,232,111,115,126,140,151,163,175,162,218,231,192,160,126,110,92,73,73,88,96,104,105,211,236,231,232,233,233,233,111,115,127,140,153,165,176,162,220,229,191,158,130,117,117,98,86,90,97,101,114,222,232,233,235,235,235,235,112,117,128,143,155,164,176,163,206,220,185,156,128,116,114,99,87,95,103,100,139,237,229,236,236,236,235,236,111,117,130,144,157,164,177,164,204,213,180,148,126,116,111,101,95,102,111,97,182,242,233,236,236,237,238,239,110,117,131,144,157,167,177,173,211,207,175,143,123,113,113,109,104,107,100,124,229,233,235,237,238,239,239,239,111,118,133,145,157,168,173,178,224,205,170,137,119,114,118,113,107,100,135,216,233,232,235,237,238,239,240,240,112,118,134,147,158,170,172,180,221,196,172,145,124,119,118,115,102,127,226,231,231,234,237,239,239,240,240,240,112,119,134,147,159,171,172,192,210,187,167,148,126,112,107,108,94,178,233,229,235,236,238,240,241,241,242,243,111,118,133,147,160,173,173,215,210,183,156,135,117,102,98,102,100,198,231,232,235,237,238,240,240,241,244,245
0,145,146,146,145,145,145,145,145,145,144,143,143,143,143,141,141,140,140,139,138,136,136,136,135,134,133,131,131,146,147,146,147,147,146,145,146,146,145,144,143,144,143,142,141,141,140,140,140,137,137,136,135,133,133,133,132,147,147,147,147,147,146,147,147,146,146,145,145,146,144,143,142,143,139,140,140,139,139,137,136,134,134,133,133,149,148,148,148,147,147,149,148,147,146,146,144,138,146,146,144,144,147,141,141,140,138,138,137,136,135,134,133,149,149,150,150,148,148,148,148,146,150,146,128,99,100,140,120,102,109,146,138,137,142,137,139,138,135,134,134,149,149,150,150,149,149,149,138,114,118,140,121,101,71,91,111,88,61,96,105,84,97,141,124,126,138,134,134,151,150,150,150,149,148,149,135,116,90,104,136,101,77,81,123,97,72,60,101,79,48,94,110,91,142,134,134,151,151,150,149,149,150,149,149,128,110,79,124,107,82,78,122,101,72,69,111,92,56,53,107,81,139,136,135,152,152,151,150,150,153,147,135,134,111,69,113,112,82,76,121,100,72,54,99,86,57,44,99,73,126,140,137,153,152,152,152,151,154,138,104,131,94,62,114,102,72,69,110,89,64,44,89,77,49,45,101,75,88,144,135,153,153,152,153,153,149,122,91,128,85,63,109,86,58,63,101,81,54,53,107,89,43,43,104,96,64,116,141,153,152,152,152,155,150,137,113,125,98,75,104,93,61,65,109,87,46,89,126,89,35,56,106,98,65,79,147,153,153,154,153,155,143,124,107,107,98,73,110,106,61,81,121,96,54,81,115,58,34,96,113,96,53,90,146,153,155,155,156,152,126,104,88,76,64,58,111,99,56,72,122,95,50,16,32,21,71,118,113,81,50,131,141,155,155,156,154,150,133,111,89,69,62,59,69,77,55,40,64,64,63,82,54,63,116,114,102,54,87,149,137,156,156,156,153,146,132,113,90,72,69,75,71,75,80,73,76,104,124,120,115,96,105,104,77,48,132,143,138,156,156,157,155,148,134,116,96,75,68,74,82,97,108,115,127,129,120,110,109,90,87,92,50,77,149,139,140,155,156,156,154,149,134,118,102,84,76,75,85,114,125,133,131,126,116,107,104,84,72,74,37,120,148,141,141,156,157,156,154,151,137,122,107,90,89,82,111,137,135,135,131,123,111,103,99,75,63,40,73,150,142,143,142,157,157,156,154,153,141,126,114,103,99,106,132,139,136,135,129,119,109,97,86,65,36,57,141,146,143,143,143,157,157,157,155,153,143,129,119,111,106,125,134,138,140,134,119,112,102,89,76,42,48,141,148,145,145,144,143,157,158,158,154,151,146,135,123,112,108,131,136,139,137,126,111,102,93,80,51,39,133,150,144,145,146,144,142,157,158,158,153,149,145,136,127,115,108,129,137,131,127,113,101,89,81,57,34,123,154,146,147,145,146,144,143,158,159,160,156,150,148,139,134,123,113,125,131,122,115,103,90,78,57,30,113,156,147,149,147,146,145,144,143,159,158,160,157,153,145,138,135,128,118,122,126,115,102,94,81,55,31,111,158,148,150,148,147,147,145,145,144,159,159,160,156,151,143,146,146,136,125,120,118,104,93,84,60,32,115,160,151,152,151,148,147,147,146,145,144,159,159,159,154,153,142,146,146,131,123,115,111,94,77,69,37,112,162,151,152,152,151,149,148,148,146,145,144,159,159,157,151,147,128,143,135,125,119,111,97,86,73,46,70,163,152,153,152,152,151,150,149,148,147,146,145
18,182,183,185,187,188,190,190,190,192,192,192,193,193,191,191,192,190,190,189,188,189,188,188,188,186,185,185,183,183,185,187,188,189,191,192,192,194,194,195,196,196,194,193,193,193,192,191,191,192,191,189,187,189,188,187,186,187,188,189,190,193,193,194,194,194,195,195,196,195,195,195,194,195,194,193,192,193,191,192,190,191,189,188,187,188,189,191,193,194,195,196,195,196,196,196,196,196,196,196,196,195,196,195,194,193,194,195,191,191,190,189,189,188,189,192,193,195,196,196,196,196,197,196,198,198,198,198,198,197,197,197,195,195,192,188,194,192,192,191,190,190,190,193,195,196,196,198,197,198,199,198,199,200,199,200,199,198,196,197,193,216,177,142,200,193,194,193,192,192,194,194,196,196,197,200,200,200,201,201,201,200,200,200,200,203,203,198,201,233,178,101,190,197,195,193,193,193,195,196,197,198,200,202,203,202,203,202,202,203,201,206,187,157,182,171,162,232,200,111,144,207,194,196,195,194,195,197,199,200,202,203,203,203,204,204,204,204,204,221,206,157,132,142,162,231,211,145,91,177,204,194,197,195,197,199,201,201,203,203,205,206,207,207,204,209,195,155,182,193,149,116,144,209,209,161,127,112,184,202,196,196,197,200,202,202,204,205,207,207,207,205,217,215,190,152,103,170,164,119,95,131,184,173,147,117,110,205,198,197,200,201,203,204,205,207,207,209,205,225,234,230,197,169,121,118,164,115,85,77,140,194,150,129,92,195,203,199,201,202,204,206,207,207,208,208,212,232,213,238,202,173,134,89,116,102,81,65,163,203,171,134,98,197,202,201,202,203,206,208,208,208,211,207,235,234,192,216,191,179,132,90,91,94,81,65,139,201,184,138,93,194,205,202,202,204,207,208,209,210,209,224,233,216,197,206,163,144,113,87,108,87,66,67,141,193,188,141,92,195,206,202,204,207,207,209,211,209,214,242,222,186,163,192,123,109,99,101,127,84,103,125,155,194,175,133,90,194,210,203,206,206,208,210,211,211,216,249,234,207,162,141,136,129,64,101,134,161,188,191,154,159,153,131,85,184,211,204,206,208,210,212,214,211,224,248,236,218,174,130,144,121,42,149,215,215,193,178,162,122,137,133,86,172,215,205,208,209,211,213,216,211,236,248,234,199,166,153,142,105,123,234,223,210,188,156,156,128,118,125,82,183,216,208,209,211,212,214,215,215,240,245,225,186,176,151,120,126,215,226,216,200,182,156,144,133,110,100,105,212,209,207,208,210,213,214,214,219,243,244,220,188,183,151,124,184,231,219,208,195,179,153,137,127,108,80,166,219,207,209,209,210,213,214,215,222,243,240,220,193,199,147,168,197,221,215,198,191,174,140,130,118,94,93,212,212,211,210,210,212,214,216,215,223,240,235,219,208,192,153,155,196,201,206,188,180,159,133,120,111,75,148,224,211,213,210,210,212,215,216,215,222,239,233,222,214,176,143,141,183,190,187,182,170,147,126,111,91,89,209,215,214,214,210,211,213,215,217,216,226,234,230,227,199,153,126,155,169,184,179,169,157,133,113,98,68,167,225,213,216,215,211,213,215,213,217,217,230,228,218,211,180,151,146,165,171,179,175,159,144,121,103,71,129,223,213,215,217,215,212,213,216,217,217,216,238,237,235,220,209,192,174,156,169,179,165,142,125,112,78,108,220,217,216,216,216,215,210,215,210,202,218,221,245,237,236,224,206,188,172,147,158,173,150,128,117,93,89,205,222,218,217,217,217,217
5,142,142,143,143,144,145,146,146,147,149,149,151,151,151,151,152,151,150,150,150,150,149,149,150,148,147,146,145,145,145,147,148,148,149,150,150,150,151,152,152,153,154,157,133,150,153,152,152,151,150,150,150,150,149,148,114,149,150,151,152,152,152,154,154,154,154,155,157,157,160,166,93,139,156,155,155,153,151,152,152,152,152,122,54,153,154,155,156,156,157,158,158,158,158,159,152,156,178,150,91,149,159,158,158,159,124,145,154,154,138,64,36,158,159,159,160,161,161,161,162,163,162,175,128,138,184,118,118,163,162,158,155,136,95,143,158,157,105,39,42,162,163,163,165,165,166,165,165,165,164,187,132,138,168,101,149,166,163,149,137,101,114,159,161,152,77,45,60,166,167,167,168,169,170,169,169,169,168,189,138,137,143,106,167,167,150,136,105,106,158,166,164,150,70,56,60,170,171,171,171,173,173,173,173,173,173,186,136,125,114,127,169,144,128,113,100,156,169,169,168,162,93,62,60,173,174,174,175,176,176,176,177,176,177,195,145,106,95,151,136,108,101,94,146,175,172,172,171,167,110,61,54,176,177,178,178,179,179,179,179,179,181,200,155,104,99,139,104,89,82,139,177,177,175,173,173,172,130,57,39,179,179,180,181,181,182,181,181,182,183,193,150,103,96,104,96,84,118,181,181,180,178,176,176,176,152,62,41,181,182,183,184,184,184,184,184,185,185,188,160,104,85,83,93,87,152,177,174,183,181,179,179,180,166,119,114,183,184,186,186,186,186,186,186,187,187,190,176,120,81,74,83,96,155,128,127,158,182,183,182,181,177,124,153,185,186,188,188,189,188,188,189,189,190,190,187,139,90,77,78,89,104,109,131,141,153,172,183,184,178,130,182,188,189,190,190,191,190,191,192,192,193,195,201,167,113,81,79,80,90,95,118,148,152,152,160,164,159,160,147,191,191,192,192,194,194,194,194,194,194,198,209,186,133,87,78,84,79,80,109,130,135,146,151,138,129,141,120,192,193,193,194,195,195,195,196,196,197,198,214,197,142,93,73,80,78,121,178,177,163,144,143,162,149,118,125,194,195,195,196,197,196,197,198,199,199,200,218,201,148,100,70,70,101,191,198,197,183,159,167,153,124,152,177,195,196,197,198,199,198,199,199,200,199,200,221,201,152,105,70,55,105,173,200,187,154,157,145,110,147,192,191,197,198,199,200,201,200,200,200,201,200,202,223,199,150,105,68,59,82,98,158,143,146,146,110,117,188,196,194,199,200,200,201,201,202,202,201,202,200,208,223,194,149,106,68,64,85,91,101,118,136,118,125,183,198,197,196,199,200,201,202,202,203,203,203,204,197,209,221,191,148,106,73,69,89,97,108,113,113,121,186,200,199,198,197,200,201,203,203,204,205,204,205,205,198,211,217,186,146,105,75,74,97,105,108,100,108,179,203,201,201,199,198,201,203,204,205,206,206,206,206,204,198,215,211,181,142,102,75,74,98,107,103,95,164,205,202,203,202,201,201,202,204,205,206,206,206,207,209,199,205,223,207,176,135,100,78,74,99,107,93,124,204,207,205,206,204,203,201,204,206,206,207,207,207,208,208,196,221,222,201,171,134,98,80,81,103,100,90,171,209,208,208,207,206,204,202,206,207,207,207,209,209,210,201,205,225,214,196,172,131,95,81,86,100,91,132,206,209,209,208,207,207,205,204,206,207,207,208,209,210,208,195,214,215,208,191,158,114,88,79,87,93,113,193,212,211,210,209,208,206,205,204
18,169,170,171,173,175,176,176,176,178,178,179,179,179,178,177,178,177,176,176,175,175,175,174,174,172,172,171,170,170,172,174,174,176,177,178,178,180,180,181,182,182,180,179,180,179,178,177,177,178,177,176,174,175,174,173,173,174,174,175,176,179,179,180,180,180,181,181,182,181,181,181,180,181,180,179,179,179,177,178,176,177,175,174,174,174,175,178,179,180,181,182,181,182,182,182,182,182,182,182,182,181,182,181,180,179,180,181,177,177,176,175,175,175,176,178,179,181,182,182,182,182,183,182,183,183,183,184,183,183,182,183,181,181,178,175,180,178,178,177,176,176,177,179,181,182,182,183,183,184,185,184,185,186,185,186,185,184,182,183,179,200,164,132,186,179,180,179,178,178,180,180,182,182,183,185,186,186,186,186,186,186,186,185,186,189,188,183,186,216,165,94,176,183,181,180,179,179,181,182,182,184,185,187,188,188,188,187,188,188,187,191,173,146,169,159,151,215,186,103,134,192,180,182,181,180,181,183,185,186,188,188,189,188,190,189,189,189,189,205,191,145,123,132,150,215,196,135,85,165,189,180,182,181,183,185,187,187,188,188,190,191,192,192,189,193,181,144,169,179,139,108,133,194,194,150,118,104,171,187,182,182,183,185,187,188,189,190,192,192,192,191,201,199,177,141,96,158,152,111,89,121,171,160,137,109,103,190,184,183,185,186,189,189,190,192,192,194,190,209,217,213,183,157,113,110,152,107,79,72,130,180,139,120,86,181,188,185,187,187,189,191,192,192,193,193,196,215,198,221,187,160,124,83,108,95,75,61,151,189,159,125,91,183,187,186,187,189,191,193,193,193,196,192,218,217,178,201,177,167,123,84,84,87,76,61,129,187,171,128,87,180,190,187,188,190,192,193,194,195,194,208,216,200,183,191,152,134,106,81,100,81,62,63,131,179,174,132,86,181,191,188,190,192,192,194,196,194,198,225,205,172,151,178,114,101,92,94,118,78,96,116,144,180,162,124,84,180,194,189,191,192,193,194,196,195,200,231,217,192,150,131,127,120,60,94,124,150,175,177,143,147,143,122,79,171,195,189,191,193,195,196,199,196,208,230,219,202,161,121,134,112,40,138,199,199,179,165,151,114,127,123,80,159,199,191,193,194,196,198,201,196,219,230,217,185,154,142,132,98,114,217,206,195,175,145,145,119,110,117,76,170,201,193,194,195,196,199,199,200,223,227,208,173,164,140,112,117,199,209,200,186,169,145,134,123,102,93,98,197,193,192,193,195,197,199,198,203,225,226,204,175,170,140,115,171,214,204,193,181,166,142,128,118,101,74,155,203,192,193,194,195,197,199,200,206,225,223,204,180,185,136,156,183,205,200,184,177,162,130,121,110,88,87,196,196,196,195,195,196,199,200,200,207,222,218,203,193,179,142,144,182,186,191,174,167,148,124,111,103,70,137,208,195,198,195,195,196,199,201,200,206,222,216,206,199,164,133,131,170,176,174,169,158,137,117,103,85,83,194,200,198,198,195,196,197,199,201,200,209,217,213,210,185,142,117,144,157,171,167,157,146,124,105,91,63,155,208,198,200,200,196,197,199,198,201,201,214,212,202,195,167,140,136,153,158,166,163,147,133,113,96,66,120,207,198,200,201,199,196,198,201,201,202,201,221,220,218,204,194,178,161,145,157,166,154,132,116,104,73,101,204,201,201,201,201,200,195,200,195,187,202,205,227,220,219,208,191,175,160,136,147,160,140,119,108,87,83,190,206,202,201,201,201,201
7,180,180,181,180,179,180,180,181,180,179,178,178,174,149,175,172,158,145,138,133,118,106,97,66,50,21,58,154,182,183,183,183,182,182,181,181,181,181,180,179,179,168,173,177,160,140,116,109,92,70,57,38,35,15,70,160,184,184,184,185,184,185,184,185,184,184,183,182,179,169,176,176,166,150,115,88,61,43,32,25,22,24,71,162,186,186,186,187,187,187,187,188,187,186,183,181,188,175,172,175,169,165,161,148,122,85,50,31,36,30,71,164,186,186,186,186,187,187,188,188,187,186,185,188,153,157,178,173,167,169,172,165,167,126,69,48,47,35,74,165,188,187,188,187,187,188,188,188,188,188,190,181,107,124,187,178,170,171,174,162,167,127,50,54,53,44,68,166,189,189,188,190,189,189,189,189,189,186,196,157,124,185,158,172,173,164,174,166,160,110,54,58,59,57,36,85,192,191,191,190,191,192,192,193,193,193,193,155,190,225,167,119,160,161,163,158,142,98,62,60,63,59,26,39,194,192,194,193,194,197,197,190,182,173,174,209,215,206,215,165,123,146,157,152,137,109,76,66,68,59,22,38,193,193,195,197,195,184,169,155,145,131,94,90,117,142,153,145,120,106,124,137,135,115,82,74,72,56,40,121,198,196,186,176,160,148,147,143,141,131,88,60,78,96,99,94,102,102,85,86,101,96,86,83,71,51,72,156,170,158,149,145,145,149,147,141,138,118,84,76,77,84,91,95,99,100,85,71,84,74,82,81,76,58,103,112,149,151,155,153,151,154,152,155,146,126,89,71,79,88,91,90,96,93,78,72,77,77,85,84,113,90,141,79,159,156,156,152,154,159,160,155,149,134,87,61,78,91,103,98,98,94,87,81,74,89,80,79,97,92,87,24,155,155,159,160,157,153,154,147,142,113,73,73,83,86,90,90,91,89,88,78,78,94,84,81,76,91,101,76,164,163,159,158,154,155,154,148,144,112,63,61,61,56,60,64,72,75,69,77,72,78,79,73,72,79,97,83,163,163,158,156,157,159,148,145,158,133,62,48,50,45,76,87,74,121,146,104,106,64,63,78,70,65,56,54,152,155,158,152,152,150,141,149,153,118,66,54,58,54,54,66,76,99,110,87,73,84,88,91,38,49,71,44,145,144,151,148,143,141,139,141,136,97,60,62,61,60,55,52,144,153,91,68,67,95,148,51,1,15,83,94,140,139,139,142,141,138,137,139,139,90,52,41,57,67,54,80,130,65,88,68,65,100,93,5,51,38,73,129,137,139,135,139,140,138,138,138,139,90,48,34,37,54,48,59,74,53,60,58,61,71,66,76,81,70,85,126,139,131,122,124,123,122,125,123,111,78,49,40,50,61,57,55,108,62,112,94,78,65,105,66,47,51,84,120,121,123,111,98,94,93,92,86,64,56,55,97,92,71,86,65,88,90,124,57,44,31,104,78,56,67,56,88,101,106,94,80,72,76,78,76,103,156,157,160,124,95,88,83,51,50,104,40,60,27,53,98,53,72,47,59,91,93,107,116,123,129,165,141,151,159,162,129,147,172,171,87,62,48,75,77,51,41,99,58,54,73,46,57,136,92,187,211,189,156,189,101,153,133,155,166,158,155,177,126,45,100,63,61,39,93,180,90,53,74,55,52,139,100,156,185,187,171,171,82,140,112,145,161,155,157,159,148,101,146,139,85,17,118,164,105,97,142,83,48,109,116,172,190,196,198,169,125,78,96,147,152,145,123,134,143,153,134,153,111,27,111,137,98,132,160,122,60
10,102,108,113,111,95,79,90,57,48,79,78,86,89,102,115,120,125,132,136,141,147,150,152,156,157,159,162,163,109,116,121,113,102,82,100,51,56,80,81,82,110,144,113,122,126,134,138,143,147,151,153,157,158,160,161,163,119,125,131,116,108,84,108,44,64,80,84,76,151,171,98,123,130,137,141,145,148,152,156,158,160,161,163,163,128,135,139,120,113,88,111,39,71,80,85,80,137,179,100,112,138,139,144,147,151,155,159,161,162,163,163,164,136,144,145,123,115,96,111,37,76,81,85,84,116,179,118,98,142,145,149,153,156,161,164,167,168,168,168,168,145,154,151,128,116,105,106,38,83,82,86,90,102,177,148,95,139,152,155,158,163,168,171,173,173,174,174,173,152,162,154,134,115,116,98,42,87,83,88,92,99,168,168,103,128,161,159,165,170,174,177,179,179,179,180,180,158,168,156,140,113,128,88,49,87,84,89,94,103,155,179,113,112,167,165,171,175,180,183,185,185,185,186,186,163,174,155,145,111,138,75,57,89,85,89,95,106,154,197,130,106,171,171,176,181,185,188,192,192,192,192,192,168,178,156,149,111,146,66,62,86,86,90,96,109,157,195,138,105,174,178,182,186,190,193,196,197,198,197,197,172,180,157,153,111,149,50,92,95,86,89,98,113,155,182,138,100,170,183,185,191,195,199,201,202,203,203,203,176,183,158,152,116,140,102,144,89,95,108,98,119,162,164,143,96,164,190,190,196,201,204,206,206,207,207,208,179,182,159,149,120,136,134,137,85,79,81,85,114,171,150,171,92,153,196,193,200,205,208,210,210,210,210,211,182,182,162,145,125,159,107,127,112,85,74,66,71,100,125,146,88,138,201,196,203,208,211,212,213,213,214,215,185,182,166,140,133,133,76,84,130,117,97,66,50,79,104,114,97,116,202,201,206,210,212,215,215,215,216,217,187,179,173,137,143,118,74,123,145,131,96,69,59,67,83,97,95,99,199,204,209,213,216,216,217,218,218,219,190,178,176,131,159,91,102,192,167,128,101,80,73,69,77,84,88,97,200,207,210,215,218,219,220,221,221,222,191,179,176,126,165,77,113,193,163,114,121,102,79,74,73,79,81,100,205,208,213,217,220,221,222,223,224,224,193,179,177,124,171,68,79,207,197,101,92,120,99,86,70,72,78,109,210,209,215,220,222,223,223,224,225,226,192,180,179,125,174,58,83,206,204,94,124,123,120,98,74,73,71,123,214,209,215,220,223,223,225,226,227,227,191,182,180,127,180,51,81,191,152,113,182,144,120,113,81,76,67,130,217,209,216,221,224,225,226,228,229,229,191,185,175,132,177,47,77,175,192,157,188,165,129,117,96,83,71,139,216,210,216,220,224,225,226,228,229,228,193,190,170,140,170,43,79,146,195,171,180,167,154,123,99,88,72,144,216,210,216,219,223,225,226,227,229,229,194,193,163,151,157,33,85,98,183,195,180,177,153,130,106,91,72,138,215,209,215,218,222,225,226,226,228,229,193,195,155,157,155,67,106,90,173,197,176,192,147,128,102,93,78,152,221,217,223,227,230,232,234,235,236,239,185,196,151,157,181,123,118,115,146,195,173,184,146,119,103,99,81,129,161,164,168,172,178,181,184,187,191,189,190,195,147,165,176,110,109,114,113,177,171,160,152,133,122,102,77,104,122,120,120,122,121,122,122,122,122,86,193,191,143,172,172,115,114,118,114,140,150,142,153,157,148,104,71,76,130,127,130,133,132,130,129,134,108,76
24,150,154,158,160,163,164,166,168,169,171,172,175,175,176,177,180,180,181,184,184,184,185,185,185,185,186,186,187,150,154,157,159,162,164,166,169,170,172,172,175,176,177,179,181,181,182,184,184,185,186,186,186,187,188,189,189,151,155,157,160,163,165,167,169,171,174,174,176,179,179,180,182,182,183,185,185,186,186,188,188,189,189,189,189,152,156,158,161,163,165,168,170,172,174,175,177,179,180,182,184,183,183,185,187,188,189,189,190,190,190,190,189,152,157,159,162,163,166,169,170,173,175,176,178,180,181,182,184,184,184,186,188,189,190,189,190,190,189,189,189,153,156,160,163,166,167,169,171,174,175,177,178,181,181,182,183,187,188,187,189,189,190,190,190,190,190,191,190,155,155,168,160,145,170,169,172,174,177,178,179,179,180,186,185,183,177,190,189,190,190,190,190,191,192,191,192,154,154,175,175,127,162,172,172,175,177,179,181,181,164,147,186,184,148,148,193,189,190,190,191,192,192,191,192,155,156,162,178,139,136,176,172,174,178,157,175,197,171,130,163,191,159,114,152,198,190,192,193,193,193,194,192,155,158,159,174,168,133,164,174,183,191,162,151,197,175,141,153,195,164,123,108,194,192,193,194,193,194,184,166,154,158,162,167,191,164,135,170,195,204,174,144,188,184,143,138,193,159,121,93,178,197,192,192,194,188,158,131,155,159,162,162,181,178,141,150,185,212,187,150,160,194,151,122,179,146,114,84,165,199,191,194,188,175,144,118,155,159,163,164,167,180,186,169,167,197,194,155,130,175,158,114,150,137,114,85,130,202,194,180,172,163,124,137,155,160,163,165,165,178,190,183,186,193,182,151,115,148,155,112,124,152,123,90,96,176,177,166,164,137,109,177,156,160,163,165,169,169,185,187,182,189,180,150,131,126,167,129,122,182,129,97,135,147,165,167,139,104,157,201,156,160,163,165,170,168,181,198,177,162,161,161,160,123,171,158,103,166,134,157,179,164,158,146,114,135,201,194,156,160,164,166,168,169,178,196,163,154,152,160,158,136,155,148,108,159,189,188,173,158,140,127,117,193,196,196,156,160,165,167,169,171,175,204,181,163,149,150,156,169,154,148,178,195,187,180,168,152,134,111,159,202,194,196,157,161,164,166,169,174,172,206,199,175,153,144,168,182,190,201,202,191,183,175,162,145,117,122,200,197,197,197,157,161,164,167,169,174,172,204,209,182,170,154,159,179,195,211,199,190,187,174,150,129,105,162,203,195,197,197,157,161,164,167,170,172,170,198,214,189,183,171,159,179,193,206,198,193,186,167,147,116,123,199,196,196,197,197,158,163,165,167,169,172,173,183,211,199,187,181,169,177,192,201,197,189,178,164,149,107,172,203,197,198,197,197,157,161,165,168,169,171,175,176,194,203,193,179,170,175,190,196,191,179,165,156,124,138,202,196,198,198,198,197,157,161,164,167,168,172,176,176,186,206,191,179,169,178,183,185,181,169,153,135,115,189,199,196,198,198,199,200,156,160,163,165,168,171,174,175,182,195,180,177,172,174,178,182,177,166,148,114,149,205,194,197,197,197,197,199,154,159,162,164,167,170,172,174,181,185,177,185,182,182,183,179,171,160,140,110,179,199,194,196,196,196,196,196,154,158,162,163,165,169,172,172,180,197,191,197,188,187,180,174,166,154,128,116,192,194,194,195,195,196,197,196,153,157,162,163,164,169,172,171,181,209,195,194,189,185,174,169,166,147,118,126,199,193,195,194,195,195,197,196
8,140,142,142,144,144,144,147,144,145,144,143,143,142,142,141,139,138,138,138,136,135,133,133,131,128,128,127,125,142,144,145,145,146,140,130,147,147,146,145,144,144,143,142,141,140,139,139,138,137,136,134,133,130,129,127,126,144,145,147,146,150,137,74,130,154,148,148,146,145,144,143,143,142,139,139,139,138,137,135,133,131,130,129,129,145,146,148,147,152,121,66,114,158,148,149,147,147,147,145,144,144,143,141,141,139,138,137,135,133,130,130,130,146,148,149,149,153,120,58,118,160,150,151,148,148,148,146,146,146,145,143,142,141,139,138,137,135,131,132,131,148,149,150,151,152,116,51,130,158,151,151,153,152,149,148,147,146,145,147,148,140,141,140,138,136,134,133,132,149,151,152,151,155,118,51,128,160,153,153,142,151,154,151,153,148,110,87,122,121,113,145,138,139,137,136,134,151,152,153,152,157,132,62,117,164,154,136,98,89,146,121,98,115,112,78,56,103,83,146,139,139,138,137,135,152,153,153,154,157,129,56,103,168,147,131,117,81,94,110,73,66,119,99,52,68,76,130,146,139,139,138,136,152,154,155,156,157,130,78,84,165,142,138,130,95,73,112,87,72,119,90,53,46,69,78,148,141,139,139,137,153,155,157,158,157,150,118,77,151,144,133,139,101,62,103,100,67,102,79,48,34,78,58,99,150,140,140,138,154,156,156,157,158,156,124,82,123,126,110,137,104,64,84,106,58,87,111,66,34,81,61,73,152,140,141,139,154,156,157,158,159,160,130,121,113,114,90,123,105,60,62,105,62,80,130,69,46,95,53,98,154,141,142,140,157,157,158,159,160,162,156,138,108,98,91,107,107,66,51,84,58,24,70,40,64,96,49,126,150,143,143,141,158,158,159,160,160,161,160,123,94,72,68,86,119,104,50,34,35,42,32,72,108,83,56,146,147,145,144,143,159,158,159,161,162,163,157,122,101,75,61,64,125,113,68,35,78,120,113,104,113,64,71,158,145,145,143,142,158,159,161,162,163,163,163,142,114,79,65,64,102,96,62,71,123,121,121,92,81,46,93,160,146,146,144,143,157,159,163,163,163,164,162,146,116,87,69,63,92,109,110,129,139,117,110,83,58,40,136,154,148,147,145,144,158,160,162,163,164,164,161,150,123,98,78,64,96,142,151,147,134,110,100,76,31,88,162,149,150,147,146,145,159,160,163,164,165,166,158,148,128,101,79,74,109,150,143,139,122,101,88,61,41,149,156,151,150,149,147,146,160,162,162,164,165,165,153,143,134,105,84,84,119,143,140,135,111,95,79,37,100,165,152,152,151,150,147,146,161,162,163,165,166,167,155,147,139,109,93,88,124,135,139,126,101,86,59,47,155,158,154,152,152,151,149,147,162,163,164,166,167,168,163,152,144,118,97,84,120,128,125,110,88,74,32,108,168,155,155,154,153,151,149,147,161,163,165,166,166,169,166,158,142,118,99,89,111,119,109,94,75,44,56,163,159,159,156,154,153,151,149,147,162,164,165,166,167,168,167,156,136,115,101,95,101,113,100,83,61,34,143,165,158,158,155,155,153,152,150,149,163,165,166,166,166,168,167,157,137,123,115,109,99,108,94,77,36,107,173,159,159,158,156,155,152,152,151,149,162,164,166,168,168,166,164,161,143,137,121,114,104,102,81,53,59,167,163,162,160,159,157,155,152,152,151,148,163,165,167,167,169,161,156,163,146,141,119,114,104,85,72,39,109,174,162,163,160,158,158,157,154,153,152,150
16,135,137,137,140,144,147,150,152,154,157,158,160,162,163,163,164,165,166,169,167,168,169,169,169,168,167,167,168,136,137,138,139,144,148,150,152,155,157,158,160,162,164,166,168,170,170,172,173,172,171,168,169,170,170,169,169,136,137,138,139,144,149,152,154,156,157,159,163,164,162,155,148,143,139,139,143,151,165,175,172,169,170,170,170,137,138,138,141,145,149,152,155,157,156,154,149,140,132,121,111,102,99,99,91,83,88,121,155,175,169,171,171,137,137,138,141,146,148,151,150,157,134,132,124,120,121,116,108,101,91,89,91,79,64,62,69,119,175,172,171,136,137,139,144,146,152,162,163,172,141,133,120,113,118,113,106,101,95,84,86,87,72,68,66,56,122,179,170,137,138,139,144,143,157,177,174,172,150,135,116,106,108,108,106,98,99,88,84,82,73,72,69,72,61,152,178,136,137,140,144,144,152,169,176,173,146,131,105,98,99,98,103,98,94,94,86,82,76,72,68,74,61,90,183,137,138,140,144,144,157,168,181,172,145,116,96,84,89,91,96,97,93,98,94,80,77,80,72,65,74,57,150,137,138,140,144,144,158,171,182,165,137,96,82,66,78,93,100,105,100,103,101,82,76,83,69,67,76,61,89,137,138,141,144,147,152,173,182,157,118,85,81,53,39,93,104,118,116,116,106,86,80,86,68,69,75,74,53,138,139,140,145,148,147,174,178,144,106,77,69,38,13,70,99,117,138,137,117,86,82,87,70,69,75,78,66,138,138,140,143,148,149,170,169,130,100,71,60,53,35,59,82,121,147,137,117,86,83,79,70,70,72,76,76,137,138,140,144,147,150,162,152,116,94,64,67,67,64,69,59,138,142,121,111,91,84,72,72,72,73,75,78,135,136,138,142,145,149,157,142,102,74,56,73,71,65,58,74,149,128,117,107,90,73,72,72,72,76,76,78,134,137,139,142,146,151,165,135,85,74,47,63,67,84,118,143,140,116,114,98,74,65,72,74,73,75,75,76,137,137,140,144,146,152,165,130,80,100,88,104,141,168,168,148,120,111,104,82,63,67,71,76,77,76,75,74,136,137,139,144,146,153,171,127,71,142,169,169,171,170,158,139,105,96,88,83,67,68,72,75,79,78,77,77,135,137,140,144,146,154,167,115,75,158,165,165,167,168,160,126,99,75,98,101,73,72,73,75,79,78,79,78,134,136,140,143,144,154,162,93,90,168,164,165,167,169,162,125,87,80,140,117,89,80,74,76,77,78,79,80,134,137,140,142,144,155,154,77,109,168,162,165,167,168,165,133,66,113,170,128,104,86,79,76,77,79,80,82,132,134,137,143,141,164,146,67,133,166,163,164,167,170,163,142,72,132,182,137,118,98,86,79,78,78,78,81,132,135,138,140,135,177,120,75,149,155,157,159,159,161,155,140,93,115,177,140,128,109,95,85,81,80,80,83,96,96,98,100,95,122,89,78,99,99,100,103,104,104,105,104,94,91,103,103,133,118,104,95,90,85,82,84,89,87,88,90,88,88,88,87,87,89,88,88,90,88,88,89,87,86,84,83,121,127,113,102,95,90,86,84,92,93,93,93,94,94,93,92,94,96,97,95,94,95,95,94,95,93,94,86,108,137,120,108,101,96,91,88,92,92,92,93,94,93,91,93,94,94,94,94,93,94,93,92,97,101,100,95,98,138,129,115,107,103,97,93,93,93,92,93,94,93,92,94,93,93,93,93,92,94,93,92,93,93,94,94,91,135,137,125,116,109,99,94
13,159,161,165,172,177,180,183,184,187,189,194,195,196,198,200,201,202,203,202,204,205,203,204,203,204,205,204,203,161,163,167,172,178,181,184,185,187,191,194,196,197,200,202,202,203,204,204,206,206,205,205,204,207,207,207,205,163,165,169,175,181,183,185,187,190,192,195,197,199,201,203,204,204,206,206,205,206,206,207,207,208,208,208,207,165,167,171,176,182,185,187,189,191,194,196,198,201,203,204,202,205,201,205,212,212,209,208,209,210,209,208,207,166,168,172,178,182,186,189,191,194,196,198,200,203,204,209,229,227,190,155,187,199,209,214,210,210,211,210,209,167,169,174,180,184,188,190,193,195,198,201,201,204,202,204,221,230,189,138,117,155,158,192,215,210,212,212,211,167,171,176,180,185,189,192,194,196,201,202,207,216,177,161,172,219,194,143,113,166,146,127,215,213,212,212,212,168,171,177,181,187,190,191,196,198,202,193,225,238,207,172,134,184,221,169,116,171,144,126,214,214,214,213,213,168,172,179,183,188,191,194,196,199,215,171,156,227,232,197,139,120,218,175,117,177,154,135,220,214,215,214,214,171,174,179,184,189,192,194,195,223,229,188,136,156,244,211,160,95,136,158,108,202,160,164,223,215,216,215,214,172,175,180,186,189,193,192,220,222,228,212,167,107,213,205,154,100,82,108,108,179,139,183,225,215,217,216,216,173,176,183,188,192,192,208,227,181,207,219,178,102,172,198,143,99,78,116,152,163,140,141,222,219,218,218,218,174,178,185,189,193,194,231,225,187,188,200,158,104,145,197,161,96,108,174,180,156,142,128,185,227,218,220,218,177,181,187,192,193,206,226,202,169,172,185,139,94,120,208,173,102,176,206,184,152,128,134,143,226,219,220,220,178,183,189,195,194,217,235,208,177,154,169,140,90,85,193,158,147,219,202,179,151,132,121,138,227,221,221,221,179,184,192,198,196,220,240,213,190,146,142,133,92,124,200,200,216,210,190,164,146,129,105,179,232,221,223,223,180,186,195,200,198,227,245,221,195,159,137,139,165,205,226,229,223,201,178,155,140,118,118,220,224,224,224,223,181,189,196,202,200,232,248,230,195,175,182,177,190,210,224,220,214,192,169,152,132,102,150,235,222,225,225,225,185,193,200,205,204,233,240,238,205,192,194,170,202,212,220,221,202,181,162,143,126,95,187,235,225,226,225,225,188,196,203,208,208,225,235,241,217,202,196,179,206,223,212,208,187,167,150,137,108,123,233,228,228,228,227,227,191,198,206,211,212,215,237,236,225,208,194,184,198,218,209,188,174,157,147,128,111,211,236,230,230,229,229,229,193,200,207,211,216,213,230,229,225,214,205,194,190,209,204,182,164,147,141,110,189,243,231,232,232,231,229,228,195,203,209,212,218,216,220,234,227,223,218,202,189,202,198,173,146,144,118,157,243,232,235,235,233,231,237,237,197,205,212,216,220,218,214,235,222,217,213,195,183,192,184,163,136,133,125,227,239,235,237,235,234,240,210,160,198,207,214,219,221,221,217,230,200,200,207,197,184,186,174,158,142,114,178,247,237,238,236,238,243,178,102,82,200,208,215,219,222,223,218,236,207,209,217,209,188,176,169,159,142,112,212,241,240,239,247,245,170,95,95,75,200,209,215,218,221,224,215,240,218,220,226,210,192,173,168,158,140,115,226,241,240,244,202,134,90,96,105,77,201,210,216,220,222,227,216,236,233,234,233,211,195,175,166,159,136,117,229,239,248,202,106,88,77,86,104,91
4,198,200,202,202,202,204,205,205,207,207,207,207,208,208,208,208,208,207,206,206,206,207,207,207,207,206,205,204,199,201,202,203,204,206,207,207,208,208,208,208,209,209,209,208,208,208,207,208,207,207,207,208,208,208,207,206,200,202,204,204,204,207,208,208,209,209,208,209,209,210,209,209,209,210,209,209,209,209,209,210,210,209,209,208,203,203,205,207,207,209,209,209,210,210,210,209,211,212,210,213,215,213,209,211,212,212,212,212,212,211,210,209,204,205,207,207,208,210,210,210,211,210,211,216,232,236,218,213,238,230,194,193,210,211,214,214,214,213,211,210,205,207,207,208,209,210,211,212,212,221,232,229,214,236,218,170,197,217,179,148,206,202,188,212,214,213,212,212,208,208,209,210,210,212,213,212,224,249,250,217,163,190,201,151,152,193,156,159,231,198,145,193,216,214,214,214,208,209,211,213,213,213,214,213,241,250,247,214,155,167,206,144,126,198,171,209,236,192,136,191,219,217,217,216,209,211,212,215,215,214,215,213,243,239,226,225,183,142,201,157,146,210,223,244,234,213,155,194,220,218,218,216,211,212,214,216,216,215,217,215,245,237,214,205,165,104,158,215,213,220,228,222,226,233,193,185,220,218,218,218,211,214,215,217,217,216,217,222,250,244,216,185,148,113,112,185,190,196,201,186,231,248,226,180,208,222,220,220,212,214,216,218,219,219,217,230,254,239,201,171,155,139,130,138,140,159,158,152,240,254,241,197,180,222,221,220,215,216,217,219,219,222,220,235,254,240,203,167,145,138,143,148,138,158,146,176,244,251,239,204,161,211,223,222,216,217,218,220,221,222,220,240,255,242,208,171,149,141,149,160,167,192,206,246,250,241,220,187,154,194,226,224,217,217,219,221,223,223,221,244,255,244,217,184,155,145,155,174,184,215,246,254,248,233,203,169,148,194,227,224,218,220,222,223,223,224,222,244,255,246,227,198,163,147,155,179,208,242,254,253,244,224,191,158,147,210,226,224,219,221,223,223,224,225,223,244,255,249,235,206,178,161,162,191,236,254,255,251,235,210,177,148,159,224,227,226,219,221,223,223,225,226,223,243,255,253,241,216,199,178,182,207,245,254,253,245,224,194,162,140,182,230,228,228,221,222,223,224,226,227,225,240,255,254,247,225,213,200,192,210,238,253,247,231,208,179,149,139,208,232,229,229,222,223,224,225,226,227,228,237,254,255,251,234,222,209,194,198,228,249,232,216,196,163,140,153,226,231,230,229,223,224,226,227,227,227,224,224,243,244,240,227,214,198,189,189,211,235,214,197,181,151,131,186,234,232,231,230,225,225,223,212,196,182,168,158,159,156,145,135,129,130,134,144,166,189,189,182,168,141,136,219,236,234,233,232,225,225,188,167,155,149,142,137,128,118,107,96,88,84,73,70,82,91,102,121,137,123,167,234,235,234,233,231,226,226,172,152,151,146,141,137,124,115,103,93,88,81,68,67,72,69,62,60,70,94,204,238,235,234,233,232,227,230,186,148,147,143,140,134,118,107,99,90,87,77,70,70,73,65,58,57,56,56,127,231,236,235,235,235,228,232,200,151,146,141,139,129,116,104,97,89,85,77,70,70,71,63,56,54,54,53,57,191,240,236,237,237,229,232,209,155,144,143,139,128,114,105,96,88,82,77,70,70,67,61,54,52,53,52,73,210,240,237,237,237,229,232,214,154,143,145,134,123,112,103,93,86,79,76,71,69,65,59,53,51,54,48,140,241,238,238,238,238
20,71,75,79,88,108,124,132,137,147,153,158,162,167,175,166,176,179,178,179,178,178,178,178,177,177,176,175,173,71,76,80,90,111,129,136,142,153,159,163,168,172,199,144,141,170,183,184,183,182,183,182,181,180,180,179,178,73,77,81,94,115,132,139,147,158,165,170,176,178,214,155,141,143,150,193,188,188,187,186,186,185,184,184,183,74,78,82,97,119,135,141,151,162,170,175,181,183,220,159,144,176,107,188,195,193,192,191,191,190,189,188,187,74,79,82,99,121,137,144,154,166,174,180,185,189,217,155,129,192,101,159,203,198,198,198,195,194,194,193,191,75,79,82,102,123,140,147,156,169,176,182,189,193,219,176,117,189,122,132,208,203,203,202,200,199,199,197,196,75,80,84,105,126,141,148,159,172,180,185,191,194,223,181,113,189,150,116,208,209,208,206,205,205,204,202,201,77,80,85,107,127,143,150,162,174,183,189,195,198,227,170,110,182,156,107,203,213,212,210,209,209,208,207,205,77,80,86,108,129,145,152,164,176,185,192,198,202,235,182,111,184,180,110,196,218,215,215,214,213,212,211,209,77,80,87,110,131,148,154,166,179,188,194,199,202,227,177,107,172,191,119,185,222,218,217,217,216,216,215,212,78,81,89,112,134,149,155,169,182,190,198,198,175,207,139,93,164,189,116,172,227,222,220,220,220,219,217,216,78,81,90,113,136,150,158,172,184,192,206,230,206,196,168,95,145,179,111,157,230,224,223,223,222,223,226,220,78,79,91,116,139,153,160,173,185,190,208,244,231,168,167,145,119,120,96,143,231,226,228,231,225,206,163,102,78,79,92,118,141,154,161,175,196,185,181,187,221,175,112,138,150,110,76,114,235,228,198,152,111,76,50,51,77,79,94,120,142,155,162,175,219,234,196,135,166,211,131,83,132,147,101,84,162,109,66,50,48,56,60,56,74,76,94,120,143,155,163,177,210,211,219,162,114,197,201,97,103,157,153,100,57,45,44,47,48,43,58,55,73,75,93,121,143,155,163,180,199,141,147,177,156,162,203,122,100,144,167,138,78,42,44,37,54,42,46,55,72,74,94,122,145,157,166,182,212,176,125,113,163,154,113,100,94,106,156,155,113,63,49,35,40,49,40,46,69,71,93,122,146,157,167,182,215,185,122,103,112,122,117,136,141,132,157,150,128,83,35,52,34,41,40,42,100,102,108,120,134,143,151,160,200,178,137,128,131,144,160,183,210,211,179,126,118,82,16,46,48,34,39,36,106,106,107,104,108,110,113,108,158,212,178,138,138,165,186,220,236,216,174,121,99,71,10,29,52,43,39,32,108,110,112,114,114,114,116,114,136,219,193,156,140,177,186,228,235,210,168,122,96,69,16,15,44,46,44,36,110,111,112,114,114,116,118,117,123,213,210,183,143,182,185,221,223,193,157,123,97,69,29,8,31,46,45,40,110,110,111,111,112,114,117,118,115,192,216,196,149,182,181,199,215,191,154,121,95,60,41,10,17,43,43,40,109,109,111,111,112,113,115,117,114,154,212,200,162,185,164,174,198,198,154,116,94,47,46,21,6,34,43,35,109,109,110,110,112,113,114,116,117,120,189,208,180,184,160,150,181,188,144,106,86,35,44,35,7,17,42,31,108,109,110,110,112,113,114,115,116,115,140,204,191,178,158,131,154,163,132,105,67,8,39,45,22,6,32,38,107,108,110,110,111,112,113,113,115,117,115,187,198,174,151,133,128,144,130,109,37,0,24,48,33,11,16,36
4,159,162,164,167,169,172,175,178,179,180,184,184,185,187,190,190,189,190,191,192,193,193,193,192,193,193,192,192,160,163,165,168,170,173,177,180,180,182,184,185,188,188,190,192,194,191,193,194,193,195,194,194,195,195,193,193,161,165,166,168,172,175,178,179,183,184,186,191,187,195,185,157,178,199,191,193,198,195,196,196,196,196,195,195,163,166,167,170,173,176,179,181,182,187,179,175,191,216,196,158,139,184,177,147,182,201,196,197,198,197,196,196,164,167,168,171,175,178,180,180,192,213,186,169,170,214,200,182,154,142,179,141,130,195,200,199,200,199,198,199,165,167,168,171,175,178,183,177,209,237,209,195,154,186,212,183,166,125,169,160,127,164,207,198,200,200,199,199,166,168,169,172,176,179,181,179,201,222,232,210,174,154,217,191,166,120,164,165,130,158,209,200,201,201,201,200,166,168,171,174,178,178,191,198,188,186,199,218,176,130,181,197,152,117,158,164,124,155,209,200,201,201,201,201,167,169,171,174,180,174,214,228,213,202,172,156,154,119,136,164,132,116,143,149,118,165,209,200,203,202,201,202,167,169,172,175,180,176,218,215,212,207,169,121,123,120,110,140,118,97,119,117,110,181,208,202,205,204,203,203,168,169,172,175,180,179,211,166,162,177,145,116,110,131,99,128,133,147,168,125,103,196,206,202,205,204,204,204,170,171,172,176,180,182,206,152,112,147,152,120,108,125,126,144,182,209,193,146,116,169,211,206,204,206,205,205,170,172,173,177,182,182,205,169,145,132,158,132,131,164,172,181,200,206,172,142,135,124,155,201,210,205,206,206,171,172,174,178,182,181,205,183,163,135,129,117,133,186,165,176,183,173,148,138,141,138,127,132,182,211,206,207,171,174,175,179,183,181,202,194,155,128,118,109,103,143,144,146,143,138,129,135,139,140,140,129,122,200,210,206,172,173,176,180,184,181,201,202,164,147,133,122,108,100,119,133,138,130,119,125,138,146,140,136,126,186,212,206,173,173,176,180,184,182,198,212,186,152,137,126,117,112,130,165,170,166,161,145,141,157,141,133,137,199,211,207,172,174,176,181,184,184,197,211,186,161,155,137,126,119,148,191,202,203,196,177,159,152,141,132,162,212,209,209,172,175,177,181,185,185,195,214,188,180,169,142,131,125,155,206,211,206,193,172,155,140,135,137,195,213,209,210,173,174,177,182,184,186,193,209,191,188,169,138,133,132,155,207,202,194,184,167,149,138,132,154,213,210,211,210,174,175,178,182,184,189,191,206,192,181,162,135,138,137,156,197,188,183,178,161,142,139,135,180,217,211,211,211,174,174,178,182,186,190,190,204,194,179,157,137,145,143,167,189,181,179,168,150,138,139,145,203,214,211,212,213,173,175,179,183,186,189,192,199,199,177,154,149,162,151,169,180,175,170,152,140,138,137,171,215,212,213,214,213,174,175,178,183,187,189,193,196,196,177,162,165,165,153,152,164,160,152,139,136,136,147,203,214,213,214,214,213,175,175,179,183,187,190,194,195,199,184,169,166,157,146,136,141,141,137,135,141,136,174,218,214,215,215,214,213,174,175,179,183,187,190,194,195,200,197,168,152,146,137,135,136,136,136,138,142,127,181,220,214,215,214,214,214,175,176,181,184,188,191,194,197,197,201,170,141,132,131,133,139,138,137,138,139,120,165,222,213,214,216,215,215,175,177,180,184,187,190,194,198,197,197,181,148,140,142,143,144,141,136,137,135,123,152,220,213,214,216,217,216
3,20,11,0,0,23,40,51,65,74,80,85,90,94,97,100,103,106,109,113,113,116,119,120,123,124,125,124,126,29,4,0,0,28,43,55,68,76,83,89,93,96,98,101,105,109,108,110,117,118,121,123,124,125,126,128,129,37,0,0,5,31,45,58,71,78,85,92,95,97,100,105,107,111,121,63,109,123,123,125,125,126,127,130,129,38,0,0,10,33,46,59,72,79,86,92,96,99,101,106,109,115,139,53,89,128,122,126,127,129,130,131,131,40,0,0,13,35,48,60,74,81,88,92,96,99,104,107,110,119,136,49,88,129,124,127,129,130,131,132,132,39,0,0,17,37,50,63,76,82,90,95,98,102,106,111,111,124,141,51,95,129,125,129,130,131,132,132,133,36,0,0,20,39,51,65,78,84,92,97,102,107,104,105,106,136,126,47,98,133,129,131,132,133,134,135,135,31,0,0,23,41,53,69,80,87,94,95,99,99,142,123,77,125,97,39,101,135,131,133,133,134,135,135,137,24,0,0,26,44,56,70,81,89,91,118,126,87,109,151,96,63,84,36,113,134,133,135,135,136,138,139,139,13,0,3,28,45,58,72,83,89,87,126,167,136,68,105,110,68,98,45,126,132,134,135,137,138,140,141,140,1,0,9,32,47,61,75,82,93,143,122,80,124,91,58,142,113,90,36,120,138,133,137,139,140,141,142,143,0,0,12,33,50,62,77,81,104,158,140,82,54,108,54,59,77,97,40,67,139,136,139,140,142,142,143,144,0,0,17,35,52,64,79,80,116,125,71,108,86,87,94,10,43,117,107,53,94,147,139,142,143,144,144,145,0,0,19,39,53,65,81,79,125,118,34,56,58,47,59,54,48,97,128,59,88,150,141,143,143,145,146,145,0,0,22,39,54,67,82,81,129,118,90,59,25,43,60,78,55,104,130,50,109,150,143,145,145,147,147,147,0,0,24,40,53,68,80,81,141,134,87,47,33,57,85,86,69,131,138,51,125,147,143,146,147,147,148,149,0,0,25,43,55,68,80,84,141,119,66,42,46,70,99,102,122,151,122,48,131,146,145,146,148,149,149,149,0,2,26,43,56,68,83,84,137,128,82,55,48,78,108,133,159,138,102,45,133,146,147,148,149,150,149,150,0,4,30,46,58,71,83,83,136,137,93,63,56,77,123,162,159,118,71,55,146,147,148,149,149,149,150,151,0,8,31,47,59,72,83,83,132,147,111,69,64,82,145,161,151,118,46,64,153,145,149,149,149,150,150,150,0,10,31,46,58,72,83,84,122,145,113,84,75,88,154,159,139,110,38,79,155,145,149,149,150,150,151,151,0,14,32,45,58,72,82,88,108,133,118,105,91,93,146,148,124,100,32,106,154,146,149,149,150,151,151,152,0,16,34,47,59,73,81,89,98,125,127,114,106,89,127,128,107,78,37,133,150,147,150,150,151,152,152,151,0,17,35,48,60,73,81,89,96,131,134,117,100,81,101,107,97,68,57,151,146,149,150,151,152,153,152,152,0,18,35,47,60,73,82,91,95,146,141,113,92,78,93,91,97,50,102,153,145,149,150,151,152,153,153,153,0,19,36,47,60,73,82,91,99,158,140,116,98,85,103,90,77,44,136,146,147,149,150,151,152,153,153,153,0,21,36,48,60,73,82,89,103,156,150,133,96,101,113,79,45,61,148,143,147,148,151,151,152,154,154,153,0,23,38,50,61,73,81,89,103,157,161,135,94,110,103,71,29,78,151,144,147,149,151,152,153,155,156,155
7,186,186,186,186,186,186,186,186,186,185,185,183,182,181,180,179,178,177,176,174,170,169,169,165,164,162,160,157,188,188,188,188,188,189,189,188,187,187,187,186,185,184,183,181,180,178,178,176,174,172,171,168,167,164,163,159,189,188,190,190,190,190,191,192,190,189,190,189,188,187,186,183,182,181,180,178,177,174,171,171,170,167,165,163,191,190,192,193,193,192,192,193,192,192,190,190,190,189,187,185,185,183,181,181,181,180,177,177,174,170,168,165,193,193,194,194,194,194,194,194,194,195,192,190,190,189,189,190,191,189,187,180,175,164,157,156,163,174,170,168,195,195,196,195,195,195,194,194,195,197,198,197,198,194,189,174,155,143,131,138,122,98,128,160,125,163,175,169,197,196,196,197,196,196,198,201,201,193,185,174,156,139,123,121,101,90,107,99,94,89,110,125,102,171,177,170,197,198,198,198,198,201,193,168,143,128,117,121,118,113,111,105,91,74,80,66,70,63,43,69,115,137,166,176,200,199,199,200,203,186,154,131,100,102,114,107,108,102,99,80,77,85,73,69,76,67,66,60,47,62,95,172,198,197,201,200,174,154,154,133,91,80,75,70,75,83,95,105,112,113,78,54,80,67,54,46,30,58,62,161,198,203,193,160,148,154,148,132,114,96,93,100,114,122,118,118,105,95,63,35,41,29,27,35,39,57,113,178,204,193,155,145,150,149,139,139,134,120,118,110,113,107,92,84,68,52,35,45,82,114,139,157,172,179,184,179,196,155,147,149,151,143,148,145,125,83,59,67,71,56,46,80,95,117,146,178,198,200,197,193,189,184,180,179,159,154,154,154,150,150,145,123,98,41,33,41,27,21,10,88,206,209,205,200,193,189,188,188,187,185,181,180,154,160,157,153,152,142,115,108,81,44,30,14,11,12,14,0,107,211,193,195,194,192,190,189,187,185,181,180,157,158,154,157,146,123,111,103,96,99,74,21,12,17,5,17,151,202,194,194,192,191,187,186,184,181,184,183,150,155,162,157,134,110,100,95,106,118,73,18,14,8,19,150,211,196,196,195,194,191,187,188,191,192,170,88,152,159,158,137,102,86,86,83,89,79,33,9,7,0,86,222,195,199,196,195,192,197,200,187,155,102,46,19,153,152,132,104,93,92,91,76,68,53,33,15,14,0,80,212,195,202,202,201,206,169,114,70,32,15,11,18,145,126,104,103,101,97,86,57,40,51,56,27,3,46,193,214,207,182,170,168,128,53,23,10,16,15,16,16,117,103,104,98,82,63,44,37,48,68,53,11,30,156,170,146,97,40,34,28,19,15,29,15,0,8,14,18,106,106,92,67,53,49,47,51,50,40,17,40,66,58,45,42,4,1,16,0,15,5,6,13,0,0,8,16,107,99,76,66,66,63,51,38,28,25,65,79,51,36,31,27,20,0,10,0,0,0,0,0,0,0,2,12,91,66,53,52,49,43,32,30,50,78,81,50,31,24,16,8,8,0,0,0,0,0,0,0,0,0,2,9,42,18,30,36,43,47,56,75,88,76,29,23,19,13,2,7,1,0,0,0,0,0,0,0,0,0,0,7,5,48,82,85,92,88,84,84,76,44,16,1,10,11,0,1,0,0,0,0,0,0,0,0,0,0,0,4,23,87,89,85,92,83,80,76,52,9,5,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,2,40,88,88,84,85,84,76,58,21,0,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,88,94,103,108,110,113,116,118,121,122,123,125,126,129,130,131,132,134,136,137,138,139,140,141,141,142,144,144,89,95,103,109,110,114,117,119,121,122,125,127,126,127,128,131,136,134,136,138,139,140,140,141,142,143,143,144,91,97,104,109,111,116,118,120,123,122,121,124,130,138,123,118,122,138,135,139,141,140,142,142,142,143,142,144,92,98,106,109,113,117,119,121,122,132,135,118,116,143,152,128,96,102,124,107,128,143,141,143,143,144,144,144,93,99,108,111,114,117,119,120,120,150,160,146,118,94,147,127,96,71,121,88,90,147,140,144,144,145,145,145,93,100,107,112,116,118,119,136,138,127,109,147,123,82,114,119,87,67,108,93,84,146,142,145,144,145,146,147,95,102,109,112,116,115,131,168,151,121,83,124,119,78,91,132,98,67,119,109,79,140,144,146,145,146,146,146,95,103,110,113,116,114,143,149,150,119,82,102,134,84,69,136,111,58,130,115,70,138,147,146,146,147,147,147,96,105,111,113,117,114,147,147,131,136,110,78,139,105,40,106,137,85,98,103,113,104,133,148,146,148,148,148,97,105,110,114,119,115,148,148,115,126,112,56,92,98,54,91,142,115,96,102,114,96,108,151,146,149,149,150,99,106,112,114,119,115,148,153,136,116,92,77,68,90,85,99,118,119,116,106,99,117,98,142,150,149,149,149,100,108,113,116,120,118,160,153,129,114,102,83,86,106,92,109,121,118,108,105,122,134,100,123,155,149,151,151,101,109,114,117,119,122,167,151,122,106,93,81,90,103,106,116,130,112,85,121,148,136,115,106,155,151,151,152,102,110,114,117,118,127,170,147,124,108,95,88,95,102,119,122,132,143,143,126,128,139,122,94,145,154,151,151,103,110,114,118,118,134,176,150,126,108,101,90,98,109,127,132,140,154,152,143,136,121,111,82,127,159,152,153,105,110,115,119,118,132,179,153,131,115,99,91,98,111,131,141,151,156,151,144,136,117,98,75,122,161,153,156,106,111,114,119,118,131,181,157,139,122,100,96,99,112,138,150,156,157,151,143,129,115,96,74,138,158,154,155,107,112,114,119,120,133,183,158,143,127,111,106,105,115,145,159,161,156,145,136,126,110,87,87,158,154,155,155,107,112,114,119,120,131,178,159,148,133,124,108,112,127,150,167,163,155,144,131,118,102,73,115,163,153,156,156,108,112,115,120,122,125,168,164,155,141,134,121,115,140,146,163,161,152,144,126,111,88,74,147,158,155,156,156,107,112,115,120,123,122,158,167,158,148,139,131,119,135,143,157,157,149,139,123,109,79,100,163,154,156,156,157,108,112,115,120,124,123,146,174,161,153,142,132,123,131,140,156,153,141,136,123,107,79,137,160,156,156,157,157,109,112,115,121,124,124,139,181,163,152,140,128,125,130,141,151,144,133,125,121,98,98,161,156,157,156,157,157,110,112,115,120,125,126,137,186,158,147,140,132,131,133,140,142,130,124,114,105,91,144,158,157,157,157,157,157,109,112,116,120,125,126,138,180,150,147,145,143,138,134,136,138,127,118,109,83,130,159,156,158,157,157,157,157,110,113,116,121,124,124,141,175,151,152,150,146,146,137,132,132,124,113,91,92,160,153,156,156,158,158,158,158,109,112,116,121,125,124,143,176,165,154,146,149,152,138,126,123,118,106,75,119,160,153,156,157,158,158,158,158,109,113,118,122,125,125,143,174,169,153,148,155,153,133,123,118,117,97,73,141,159,154,157,158,158,158,159,159
18,61,66,69,74,81,86,91,96,100,101,102,104,108,110,113,114,118,119,120,120,122,122,124,124,126,126,127,130,63,67,69,74,81,87,92,97,100,102,104,103,108,108,111,117,115,116,122,123,122,124,124,125,126,127,129,130,64,68,70,75,81,87,94,96,98,103,99,116,126,89,76,103,129,109,87,117,127,124,126,126,127,129,130,131,64,68,72,78,84,89,91,100,128,95,82,135,121,101,88,122,142,104,73,62,117,128,126,127,129,131,131,132,64,68,71,79,82,90,85,140,145,96,88,144,110,116,120,129,113,95,94,62,68,132,126,128,130,131,133,133,65,69,71,75,94,109,83,146,137,108,103,124,111,108,109,110,88,99,98,89,54,110,132,129,131,132,133,134,66,69,73,74,150,124,88,88,148,114,109,78,102,85,90,81,80,112,103,99,75,66,134,131,132,133,134,136,67,71,65,104,167,133,116,80,126,134,104,64,105,97,64,38,101,120,115,111,97,59,86,139,132,134,136,137,67,72,64,129,144,143,134,97,80,135,106,69,78,125,87,36,68,115,119,127,102,81,53,107,140,134,135,136,67,71,68,130,102,136,128,97,55,97,101,68,50,93,79,36,55,120,139,132,106,84,68,63,137,134,136,137,67,70,74,143,97,105,98,68,49,56,71,56,34,53,39,95,144,134,127,123,104,87,72,61,132,139,137,138,68,67,79,156,122,119,93,55,43,40,56,49,18,26,106,157,140,131,119,102,91,80,66,76,140,137,138,139,69,64,95,154,117,107,92,61,36,33,61,46,11,91,164,153,141,125,110,87,74,71,58,102,143,137,139,140,70,61,106,171,134,118,100,74,48,46,54,45,81,156,157,155,139,116,101,82,68,62,59,130,139,139,140,140,69,63,100,179,146,136,123,101,87,89,81,94,144,159,158,146,127,107,90,76,65,53,80,142,137,140,140,141,70,66,96,180,154,140,122,105,101,103,101,133,157,155,151,132,115,98,84,71,64,52,110,142,138,141,142,142,70,67,92,178,157,141,124,115,114,111,120,143,152,150,134,120,107,91,78,70,62,59,133,139,140,141,142,142,69,69,83,170,159,145,131,126,122,122,131,141,143,140,117,106,95,84,72,68,53,83,142,137,139,142,142,142,69,73,73,153,162,152,144,134,125,123,127,132,127,125,109,96,86,77,69,66,52,121,141,138,138,142,143,143,68,74,71,127,167,159,157,144,126,116,107,114,111,110,102,86,77,71,67,53,79,141,138,139,140,142,143,143,69,74,76,97,164,155,154,146,125,108,100,100,103,106,98,81,73,69,64,46,113,141,138,139,140,142,143,144,69,74,81,80,139,149,134,131,121,105,97,96,98,103,101,85,74,70,54,62,137,136,139,140,142,142,143,145,69,73,82,82,105,149,128,117,107,94,97,100,88,98,98,83,70,69,46,87,141,136,140,141,142,143,144,144,68,72,82,89,90,135,117,107,106,99,113,110,87,91,97,83,69,65,44,102,142,137,139,142,142,144,144,145,67,73,82,89,88,119,121,114,119,109,108,110,89,82,92,83,71,64,39,91,145,137,140,142,142,144,144,144,64,73,81,88,89,108,138,125,123,109,102,107,91,77,85,80,70,66,43,71,143,136,139,141,142,143,144,144,65,73,80,87,92,98,150,139,127,112,100,103,95,77,74,77,71,65,51,51,137,137,139,141,142,142,143,144,66,73,79,87,93,95,148,146,127,111,97,99,98,75,71,78,69,63,55,45,126,139,140,141,142,143,143,144
1,85,87,92,95,105,121,133,138,141,146,151,155,158,161,167,167,169,171,172,173,174,175,177,177,177,178,178,179,86,88,93,97,108,123,135,140,143,149,154,157,161,173,155,170,173,171,172,173,174,175,176,176,176,177,177,177,87,91,94,98,110,126,138,143,147,154,157,158,173,197,123,148,164,174,174,174,175,175,176,177,176,177,177,177,88,91,95,98,113,129,141,146,151,156,167,161,165,204,119,130,135,154,182,178,178,177,178,178,177,178,177,177,89,92,96,100,115,132,144,148,155,157,195,170,134,204,118,133,147,122,188,182,182,182,182,181,180,180,179,179,90,94,97,101,117,135,147,151,159,160,199,175,127,191,117,128,157,106,181,188,187,187,187,186,184,184,184,183,91,94,98,104,121,137,148,153,162,162,202,178,117,185,134,128,162,108,173,196,190,191,191,191,189,189,188,187,92,95,99,106,125,141,151,156,166,170,194,181,110,162,133,130,176,116,164,203,195,197,196,194,193,192,191,190,92,96,99,108,128,144,154,155,179,177,170,182,108,142,132,118,171,115,161,208,199,200,200,199,197,196,195,195,93,97,100,111,131,147,157,155,202,169,160,179,108,157,143,116,190,132,159,213,202,204,204,203,202,201,201,200,94,98,100,112,134,150,158,159,209,153,155,192,116,151,143,117,197,146,154,216,206,208,208,206,206,205,205,203,96,99,101,115,137,153,160,165,211,146,142,192,110,120,131,117,192,148,145,219,209,210,210,210,209,209,208,206,98,101,102,118,139,155,162,171,215,152,118,180,117,120,130,148,176,138,139,221,212,214,214,213,212,211,211,210,98,101,103,121,142,158,165,175,221,162,99,193,185,152,153,168,153,114,130,221,215,217,216,215,214,213,214,214,97,100,103,123,145,161,167,177,218,153,133,168,157,146,149,142,138,137,115,212,221,218,219,219,218,216,216,216,98,100,104,125,147,163,168,183,222,176,167,134,126,146,149,128,147,171,139,167,230,220,222,222,221,221,220,219,98,100,105,128,149,166,169,193,229,183,153,124,137,131,155,168,187,198,185,132,189,231,221,223,222,222,223,223,98,100,107,131,152,169,170,202,231,178,140,122,138,147,183,224,196,198,202,137,120,222,226,225,225,225,224,222,98,100,108,134,155,172,172,206,233,178,135,129,145,159,202,226,230,205,167,118,110,206,233,226,225,226,232,236,99,100,110,137,158,174,175,203,237,186,135,133,151,175,209,222,226,199,151,113,114,219,230,229,238,233,204,157,99,100,112,139,160,176,176,200,234,197,148,133,159,183,216,228,218,188,148,110,126,233,234,229,176,123,82,66,99,100,114,142,163,178,180,199,232,212,167,137,162,181,221,229,205,176,143,106,144,248,216,121,67,64,70,68,98,99,115,144,164,178,181,196,222,215,179,146,158,182,221,221,199,168,136,98,175,212,102,76,78,55,72,71,96,97,116,144,166,177,181,193,209,213,187,158,160,180,217,211,191,158,128,104,137,91,58,72,87,55,54,78,96,97,118,147,168,180,183,194,202,210,194,170,168,166,207,198,182,146,121,102,91,79,74,52,77,72,43,64,91,92,116,147,170,182,186,196,204,207,195,174,171,156,187,185,166,134,114,94,99,84,72,52,55,82,50,47,107,107,124,149,168,180,186,195,205,205,195,179,173,158,160,176,154,126,104,89,99,86,65,57,45,68,66,40,134,135,134,132,135,141,145,148,149,162,203,184,176,160,148,163,146,120,93,85,95,75,74,55,45,54,73,44
3,86,97,103,107,111,116,122,128,131,133,134,136,137,137,139,139,140,144,142,141,141,140,141,142,143,140,139,139,90,101,109,113,116,121,128,132,135,138,140,142,142,143,144,147,152,102,139,147,145,146,146,146,145,145,144,143,97,107,114,120,124,129,135,139,142,145,147,148,149,150,149,157,166,63,110,161,151,154,153,152,151,150,148,147,103,113,119,124,130,134,140,145,148,151,153,154,155,157,156,162,168,60,78,170,157,159,159,157,155,155,153,152,110,117,124,130,136,140,145,151,154,157,158,159,162,163,163,167,173,61,59,170,165,165,164,164,161,160,158,157,113,124,130,134,141,146,152,156,160,163,164,166,167,169,170,173,185,85,52,170,170,170,170,169,168,166,164,163,117,128,135,139,145,151,156,161,164,168,169,171,174,173,172,165,197,93,36,161,179,175,176,174,173,172,169,166,121,131,138,142,149,154,160,167,168,171,174,175,175,185,205,146,107,83,58,152,186,180,181,179,179,177,173,170,125,136,143,147,154,160,166,172,175,178,182,187,159,145,222,190,85,157,84,140,195,183,184,183,182,180,178,177,130,140,146,150,158,163,170,176,180,178,164,209,203,138,178,196,127,168,46,95,205,184,187,187,185,185,184,182,133,142,149,154,162,167,173,178,182,196,168,148,209,170,142,186,113,160,90,45,175,198,191,191,190,188,187,186,135,145,152,158,166,171,176,180,186,209,216,150,116,188,125,174,111,135,148,69,94,210,194,194,194,192,190,190,138,148,155,161,168,173,179,184,193,166,157,140,51,151,90,161,185,92,152,91,69,206,199,198,195,195,194,194,141,152,158,163,170,175,183,187,198,160,103,136,46,119,94,73,94,20,122,99,72,208,203,203,200,199,198,195,145,154,160,167,173,178,185,187,198,199,147,115,81,86,161,74,0,18,161,108,64,205,205,205,202,201,201,201,146,156,162,169,176,181,186,190,202,195,118,65,46,27,106,62,11,90,193,113,48,185,212,205,204,203,202,202,148,158,164,170,177,183,189,192,201,197,148,96,61,28,30,73,123,161,163,102,45,176,219,208,209,208,205,204,151,160,167,173,179,185,192,193,204,216,169,103,70,69,84,175,224,196,132,76,57,196,217,211,212,209,209,207,152,161,169,174,181,188,194,194,203,217,180,124,99,99,108,212,224,172,122,56,73,217,214,213,214,212,210,208,152,163,170,176,183,189,193,197,202,213,191,146,111,95,122,212,209,152,107,46,102,229,214,216,215,214,212,211,152,161,169,176,182,188,192,199,202,205,190,148,121,117,118,205,200,139,89,40,141,230,216,219,217,217,214,212,153,162,170,177,184,188,193,197,202,200,188,156,141,134,106,192,178,123,74,43,177,228,215,216,217,217,214,212,155,164,171,178,185,190,194,198,202,205,188,165,141,135,95,156,156,102,62,58,204,222,217,217,215,213,215,216,155,163,170,176,183,189,192,197,201,201,203,171,142,121,76,119,117,74,49,121,229,217,220,219,219,221,206,172,158,171,179,184,192,200,203,206,210,203,216,169,140,104,77,98,83,63,67,200,221,222,211,217,208,199,165,119,95,102,108,117,126,132,139,150,150,194,216,172,147,106,93,91,80,46,121,221,177,172,195,145,162,185,118,111,62,63,64,66,67,64,64,69,66,181,205,169,149,137,104,82,64,41,185,240,183,146,165,154,120,166,80,131,71,73,77,77,76,81,88,82,93,201,191,146,139,144,92,70,45,82,170,216,187,162,119,160,131,119,76,151
14,201,203,206,208,208,208,211,211,212,212,213,212,213,212,211,210,209,208,208,207,206,206,205,203,202,201,199,199,203,205,207,209,210,211,214,215,214,215,215,214,217,215,215,215,213,211,211,210,209,209,207,205,204,204,204,202,206,208,210,212,213,215,216,216,216,217,217,217,219,219,216,218,215,215,213,213,212,209,209,209,207,207,206,205,207,209,211,214,215,217,219,219,220,220,220,220,218,217,219,221,220,216,215,216,215,213,212,211,209,208,208,207,208,211,214,215,217,219,222,223,223,223,222,222,234,209,200,210,209,223,219,217,217,216,215,213,211,210,210,209,209,212,216,217,219,221,223,224,223,224,227,243,235,213,197,193,177,188,221,221,219,218,217,217,215,214,213,212,213,215,218,221,223,223,224,226,227,228,247,243,236,218,223,206,172,139,152,232,221,221,220,218,217,216,215,214,216,218,220,222,225,225,224,228,226,240,249,245,220,124,197,197,188,146,83,168,233,221,222,219,218,218,217,216,217,219,221,223,225,228,226,230,235,254,212,160,147,102,96,112,204,194,91,103,222,225,223,222,221,219,218,218,218,221,224,227,229,231,230,250,255,248,193,131,87,82,72,51,174,226,151,95,204,233,224,224,223,221,220,220,222,225,225,228,232,229,241,255,247,202,167,140,100,59,82,57,105,172,148,94,170,239,225,226,224,223,222,222,223,225,227,230,231,230,255,255,229,169,108,104,92,73,61,97,213,191,193,138,141,241,226,229,227,225,224,223,223,224,228,232,227,255,255,246,228,167,111,75,77,60,120,228,239,230,203,115,138,242,230,231,228,228,226,224,224,228,234,225,252,255,253,245,206,151,123,81,62,96,240,246,233,211,189,104,125,246,231,234,232,230,229,228,227,231,230,239,255,255,255,237,198,165,117,62,47,137,225,246,237,195,179,113,83,208,242,234,234,233,231,229,230,235,228,255,255,255,248,225,195,147,100,63,79,85,91,221,210,172,168,131,95,159,251,235,236,234,233,231,233,230,246,255,255,255,240,221,170,123,82,88,115,116,111,120,151,185,173,127,97,204,247,238,237,235,234,233,231,230,255,255,255,250,229,202,148,122,88,120,133,136,143,124,140,176,158,95,178,251,239,240,238,238,237,235,233,252,255,255,255,236,222,190,150,122,109,134,138,143,134,141,134,166,110,147,251,240,242,240,239,239,237,236,206,255,255,255,241,230,209,186,158,117,118,139,139,136,122,144,127,99,134,250,246,244,244,242,240,240,239,237,102,188,255,250,216,201,183,167,125,108,116,126,134,125,120,121,80,118,242,251,245,246,246,244,242,241,240,239,105,91,136,196,210,171,134,97,85,101,101,110,121,111,95,121,182,249,254,247,248,247,246,246,244,243,241,240,95,99,89,101,115,109,93,79,79,84,84,82,84,90,156,249,255,253,251,250,248,248,247,246,245,245,241,240,92,89,94,94,46,45,57,53,51,53,45,92,154,208,255,255,253,253,252,252,251,249,248,247,246,246,243,242,89,89,84,94,80,28,47,44,39,40,31,65,244,255,253,255,255,255,254,254,253,250,250,248,247,246,245,244,87,83,82,87,86,30,35,41,39,38,34,45,234,255,255,255,255,255,255,254,254,252,252,250,248,247,247,245,75,79,74,83,86,25,33,36,35,39,20,124,255,255,255,255,255,255,255,255,255,253,253,252,250,248,246,246,88,122,66,89,67,20,34,33,32,35,19,184,255,255,255,255,255,255,255,255,255,254,253,253,251,248,248,247
10,139,143,146,150,153,156,159,161,164,166,166,168,169,169,169,169,170,171,171,171,171,171,171,171,171,171,171,171,142,145,148,152,155,159,161,164,166,168,169,171,171,172,172,172,173,173,173,173,173,173,173,172,173,173,172,172,145,148,151,155,158,161,164,167,170,171,173,174,174,175,175,176,176,176,176,177,176,176,175,175,176,176,176,175,147,150,154,158,161,165,168,171,173,175,176,177,178,178,178,178,179,172,170,178,179,179,178,179,179,179,179,178,150,153,157,160,164,167,171,174,177,178,179,180,181,181,181,181,184,169,149,173,181,181,181,182,182,182,182,181,152,156,159,163,166,170,173,176,179,181,181,182,183,184,184,184,188,181,147,158,182,184,184,185,185,185,185,184,154,158,162,165,169,172,175,179,181,182,183,184,185,186,186,186,189,192,165,148,178,187,187,187,187,187,186,186,156,160,164,167,171,174,178,181,183,184,185,187,187,188,187,179,180,198,191,154,167,188,189,189,189,189,189,188,158,162,166,169,173,177,180,183,185,186,187,189,189,190,190,164,147,186,205,169,151,185,192,192,192,192,192,191,160,163,167,171,175,179,182,184,186,188,189,191,192,192,196,179,141,158,199,181,143,174,194,194,194,194,194,194,161,165,169,174,177,180,183,186,188,190,192,193,194,195,199,204,181,154,168,180,143,162,194,196,196,196,196,196,162,166,170,175,179,182,185,187,189,191,193,194,195,199,192,189,198,161,129,156,141,148,193,197,198,199,198,198,164,167,172,176,180,183,186,188,191,193,194,196,201,200,175,140,159,164,124,114,115,128,188,200,200,200,200,199,164,168,172,177,181,184,187,190,193,194,195,199,211,196,152,97,100,153,138,98,84,101,170,201,202,201,201,201,165,169,173,177,182,185,188,191,194,195,197,200,210,191,132,72,64,130,149,117,83,83,143,198,203,202,202,202,167,170,174,179,183,186,190,193,195,196,204,206,201,202,170,103,68,127,163,147,104,82,124,194,205,204,203,202,168,171,175,179,183,187,191,194,196,198,207,214,204,193,196,155,110,154,182,165,119,82,113,190,206,206,205,204,168,172,176,179,183,188,191,194,196,197,199,202,205,178,175,183,149,171,189,166,124,84,109,189,208,208,207,206,168,171,175,179,183,187,190,193,195,197,196,187,185,162,142,164,160,184,195,164,122,87,108,189,208,208,207,207,168,172,176,179,183,186,189,193,195,196,203,201,181,158,138,156,199,212,199,161,116,87,111,189,207,207,206,206,168,172,175,180,184,187,190,193,195,196,205,213,192,168,159,185,221,216,192,151,110,89,115,191,208,207,206,206,168,172,175,180,184,187,190,193,195,197,202,213,203,190,184,201,220,204,178,142,109,96,114,189,208,207,207,207,168,172,176,180,184,187,190,193,196,198,201,209,209,204,198,197,212,194,170,143,124,110,117,189,208,208,208,208,155,159,164,169,174,178,182,185,188,190,193,201,211,212,203,187,196,187,174,155,138,116,123,191,208,208,208,209,110,113,117,122,126,128,132,137,140,142,146,163,202,211,200,182,180,182,183,165,137,109,119,172,185,188,189,191,95,96,97,98,98,98,99,101,102,103,104,118,173,197,188,178,173,178,189,169,131,102,100,117,122,125,127,129,96,97,98,98,99,101,102,102,101,101,102,104,143,184,181,177,176,179,184,166,127,99,99,104,105,106,106,106,95,96,97,98,98,99,101,103,102,101,101,102,125,177,184,179,180,178,176,165,127,99,103,110,109,111,111,111
12,176,177,177,177,177,178,178,178,179,179,179,179,179,179,179,178,178,179,179,179,179,179,178,177,176,175,175,174,178,179,179,180,179,179,180,180,181,181,181,182,181,181,181,180,180,180,181,181,180,181,180,179,178,178,177,175,180,180,180,181,181,182,183,182,183,182,184,185,184,183,184,182,181,182,183,183,182,182,181,181,180,178,178,177,182,182,183,184,183,184,185,184,185,185,186,186,185,185,186,185,183,184,184,185,184,183,182,182,181,180,180,179,184,184,185,186,185,185,186,186,186,185,180,182,190,179,178,186,186,187,186,186,186,186,186,185,183,183,183,182,186,187,187,188,187,188,188,187,199,200,171,146,190,183,150,163,190,188,189,188,187,188,188,187,186,185,185,184,188,188,189,189,189,189,191,190,221,223,191,135,158,206,164,134,180,172,170,187,190,189,190,189,188,187,187,186,188,188,190,192,191,191,191,193,223,228,206,153,129,202,184,141,125,150,128,153,193,192,191,190,190,189,189,188,190,192,193,194,193,193,193,196,219,215,214,175,125,169,187,148,98,113,118,105,186,194,192,192,192,191,190,190,192,193,194,194,194,194,198,187,200,192,204,191,148,118,152,127,80,77,100,94,180,195,195,194,194,193,192,191,193,194,195,196,194,207,216,161,139,154,166,166,125,89,106,109,93,139,110,96,186,196,197,196,194,194,194,194,194,195,196,197,214,228,204,149,119,131,118,139,132,114,142,172,171,159,105,106,195,199,199,198,196,195,195,195,195,196,196,206,224,208,198,161,123,91,91,97,130,143,164,205,216,188,126,126,201,200,200,200,198,198,197,196,195,197,198,219,208,187,202,177,133,89,88,90,87,98,136,204,222,216,174,133,167,202,201,200,199,199,198,198,196,196,204,220,200,171,196,182,155,104,86,96,104,119,165,198,203,193,174,155,122,185,203,201,201,200,200,199,197,197,212,227,203,166,156,194,183,129,89,103,130,176,205,200,195,166,153,157,115,171,205,202,202,201,201,200,199,199,209,232,218,188,148,158,177,174,119,118,193,212,204,196,184,157,132,125,108,187,204,203,202,201,201,201,199,199,208,234,227,200,168,158,147,150,145,190,226,216,200,188,170,147,116,96,127,204,206,205,203,202,202,201,200,200,207,229,230,215,187,175,159,138,179,223,225,216,187,170,151,139,106,89,166,208,206,206,204,204,203,203,200,201,203,222,228,225,205,187,171,160,172,219,219,205,173,148,142,132,97,109,199,208,206,206,205,205,204,204,199,200,197,212,232,229,211,193,177,172,170,212,207,184,159,133,143,122,87,147,210,208,206,206,206,206,206,206,198,200,197,195,227,220,202,191,181,177,175,194,191,163,143,137,139,107,93,186,209,208,206,206,206,206,206,206,200,201,201,192,221,208,193,186,183,177,173,180,177,160,138,135,124,92,129,206,208,207,207,206,206,206,205,204,201,201,202,198,219,209,198,197,191,179,169,177,181,159,126,116,102,101,184,209,208,207,207,207,206,206,205,204,202,201,201,198,219,214,206,204,193,185,167,178,180,141,110,101,92,159,209,209,209,208,207,207,207,206,206,205,201,202,202,198,220,220,212,211,196,192,165,172,167,130,103,89,126,205,210,209,209,208,209,209,207,207,207,206,200,201,202,196,214,227,217,215,200,191,161,159,157,129,98,89,180,212,209,209,208,209,209,209,208,207,207,207,198,199,202,196,211,228,214,208,198,187,155,148,155,124,89,108,204,210,210,209,209,210,209,208,208,207,208,208
6,189,190,189,189,189,189,190,189,190,188,188,187,186,186,185,186,184,184,183,182,180,180,180,179,177,177,175,174,190,191,191,191,191,191,190,191,191,189,189,188,188,188,188,186,185,186,184,183,182,181,181,180,179,177,177,175,193,193,193,193,193,192,192,193,192,191,191,191,190,189,188,187,187,187,186,184,184,182,182,181,180,179,178,176,194,195,195,195,194,194,194,194,193,193,193,192,191,190,189,188,189,187,186,185,185,184,183,181,180,179,178,177,195,196,197,196,196,196,195,195,194,194,194,193,194,192,191,191,191,189,187,187,186,185,184,182,181,180,180,179,196,198,199,198,199,199,198,197,196,196,195,194,195,193,193,193,192,190,189,188,188,186,186,184,183,181,180,180,197,199,200,201,201,200,199,199,199,197,196,195,196,195,195,194,194,192,191,190,189,187,185,185,185,182,181,180,199,201,201,201,202,201,201,201,200,200,199,199,196,195,195,195,193,192,190,188,186,182,175,173,182,181,182,181,201,203,203,202,203,202,201,199,194,185,181,183,182,176,166,163,156,164,165,164,157,156,143,154,185,168,173,181,202,204,205,205,203,202,193,180,171,157,143,138,137,157,151,142,131,141,158,161,151,145,142,142,168,143,170,183,204,205,207,204,194,182,161,156,160,159,154,133,90,118,136,136,108,126,130,130,122,108,108,116,133,158,183,184,205,202,192,179,168,161,153,149,153,159,151,107,74,63,76,84,87,100,110,123,129,148,161,172,182,187,187,185,190,180,170,163,155,150,147,141,146,151,140,104,68,57,67,96,128,164,186,191,193,195,194,193,192,190,188,187,182,176,167,158,152,152,150,145,145,148,148,128,79,56,120,192,199,201,199,199,198,197,197,195,193,191,189,188,188,176,167,159,154,152,151,146,147,149,149,128,81,60,77,196,203,203,201,200,199,198,198,195,194,193,191,190,178,170,166,159,154,153,151,152,149,150,147,132,85,61,58,160,203,204,203,202,200,199,198,197,194,193,193,191,171,167,164,158,156,154,154,153,154,156,154,140,94,61,57,108,206,205,204,202,201,200,199,198,196,194,193,192,177,159,156,159,164,160,154,147,143,144,144,124,89,63,57,69,201,207,204,203,202,201,200,199,197,195,194,193,170,152,154,162,165,165,152,146,139,137,129,108,87,68,58,98,203,207,205,204,204,203,202,200,199,196,195,195,146,140,154,159,158,154,146,136,129,134,122,95,87,76,58,178,208,207,205,205,205,205,203,201,199,199,196,194,105,120,136,150,146,136,127,117,108,105,90,84,83,83,59,187,207,207,206,206,205,204,202,201,199,197,196,194,50,73,96,123,121,111,101,94,86,70,55,69,88,83,57,175,207,208,207,205,204,204,202,201,199,197,195,193,40,25,32,58,77,83,78,74,69,59,56,77,87,82,75,191,208,208,207,206,205,203,202,201,199,197,195,194,42,30,11,15,19,43,93,120,100,77,74,94,109,159,187,208,209,209,207,207,206,205,203,202,201,199,196,195,39,37,10,11,13,129,209,214,205,177,159,172,199,210,212,211,209,209,207,207,206,205,203,202,202,200,198,196,38,38,12,10,43,203,217,217,217,215,215,214,214,213,212,211,210,209,208,208,207,205,204,202,201,200,199,197,41,33,10,14,141,217,217,216,217,217,215,214,214,214,213,212,210,209,209,208,206,206,202,198,189,162,136,136,42,19,7,69,213,217,217,216,217,216,215,215,213,213,213,212,211,211,207,184,152,135,117,97,76,52,37,35
0,178,180,181,180,181,183,183,184,185,184,183,182,183,183,183,183,182,182,183,184,182,182,184,184,181,181,182,181,179,181,182,182,182,184,185,185,186,184,184,184,185,185,182,184,187,190,185,187,185,184,186,185,184,185,184,184,182,183,184,184,184,184,185,185,185,186,185,184,184,187,200,176,132,153,193,175,181,192,187,188,186,185,187,187,183,183,184,185,187,186,184,187,187,186,190,187,147,143,209,168,128,96,105,123,113,166,175,127,179,190,188,187,184,185,186,187,189,187,187,188,189,191,220,199,150,102,165,178,150,123,40,111,109,88,157,82,161,198,187,189,186,187,188,188,188,189,187,195,167,154,226,196,164,121,157,203,154,130,63,137,126,83,125,91,150,199,189,190,186,187,190,189,189,189,193,228,166,110,176,214,171,132,142,226,170,136,71,155,129,71,91,98,116,209,188,192,185,187,189,190,192,186,210,220,178,140,142,229,179,131,123,226,175,131,67,158,124,56,73,115,55,191,192,193,187,189,189,190,186,208,203,201,192,159,111,208,189,127,99,221,172,116,42,116,110,46,58,129,37,124,208,191,189,190,191,190,192,213,166,194,206,167,95,176,197,125,71,184,158,98,31,80,90,37,61,135,51,88,209,191,190,191,194,189,206,201,149,168,202,164,92,138,187,116,50,132,141,91,37,59,75,26,85,148,66,93,211,196,190,191,193,191,205,195,158,149,176,143,80,98,162,106,39,89,134,86,35,62,78,41,141,163,79,97,211,197,187,189,189,197,208,179,144,109,156,132,76,69,151,104,26,58,137,80,28,93,82,77,178,158,79,109,211,195,188,189,190,191,222,200,157,95,118,135,63,55,143,110,25,51,147,82,110,172,125,89,164,166,77,125,211,195,190,191,189,194,221,204,163,113,66,109,90,48,148,128,40,64,146,150,171,162,142,103,100,147,68,129,209,194,191,192,189,199,227,209,178,139,91,76,106,73,145,142,121,169,181,176,161,145,121,107,78,84,50,125,211,194,191,192,190,198,228,217,186,153,134,120,114,142,159,173,195,196,192,178,158,137,109,89,80,58,36,122,213,196,192,192,191,198,220,219,198,172,155,143,129,134,164,182,192,192,194,179,151,132,106,79,64,57,31,152,210,199,190,192,191,193,213,215,206,189,175,151,141,136,154,177,190,190,184,172,145,126,100,74,63,39,100,204,203,201,194,197,197,188,211,215,216,202,182,157,142,141,155,182,194,190,174,163,142,121,93,70,40,83,200,199,201,200,146,151,160,148,192,217,220,203,182,162,145,140,156,188,192,182,167,156,137,110,83,55,54,188,210,207,210,210,61,63,70,51,131,220,207,196,184,168,152,134,156,183,177,163,148,137,120,95,72,49,84,150,150,154,152,149,70,71,72,55,91,215,190,184,185,174,157,133,149,177,167,147,123,107,94,82,58,60,62,60,57,52,81,126,68,70,72,63,81,206,176,181,187,175,154,134,143,174,161,133,95,76,69,59,63,73,64,62,100,160,209,207,67,67,69,66,75,202,177,181,188,169,155,141,138,164,153,114,69,56,49,62,72,74,112,169,216,218,201,179,67,66,68,67,70,208,197,182,185,165,150,145,129,145,140,95,56,49,51,59,89,183,229,240,223,212,204,178,67,69,67,66,65,203,206,193,183,162,152,152,123,132,132,85,51,45,49,122,216,238,234,226,213,221,226,206,68,67,67,67,65,189,205,202,182,161,152,152,119,122,127,80,45,30,128,224,222,226,230,211,206,216,230,229
14,202,204,206,204,206,208,210,205,214,237,223,186,156,122,186,210,211,213,208,209,209,209,208,209,207,206,206,205,204,206,208,208,208,210,204,218,249,220,158,133,119,109,135,186,187,186,211,209,209,210,209,209,208,209,208,207,205,207,209,210,210,205,231,255,232,174,111,111,108,111,144,170,151,123,211,212,212,213,213,212,211,211,210,209,207,210,211,210,208,216,255,235,173,128,109,116,103,88,112,134,112,153,224,211,213,215,213,213,214,212,211,209,209,211,212,214,205,234,255,213,120,92,88,97,102,116,111,123,136,153,193,217,214,215,216,215,216,213,213,212,210,211,213,216,208,249,255,206,121,90,84,88,106,125,99,109,167,177,134,168,224,214,218,218,215,215,214,214,210,211,215,216,214,255,255,181,114,97,105,85,87,98,94,93,119,136,105,189,231,218,218,219,219,217,217,216,211,214,216,215,222,255,247,175,106,97,117,95,101,119,129,128,112,118,111,153,178,219,220,219,220,220,219,218,215,216,219,213,233,255,254,202,138,104,102,102,112,104,112,103,113,130,135,134,117,185,223,220,221,220,219,219,216,218,221,212,250,255,254,204,151,117,89,115,119,105,141,169,213,196,166,145,178,159,203,228,222,221,222,222,218,220,220,217,255,255,255,201,146,122,98,115,103,191,238,230,226,231,229,186,198,156,209,229,223,224,222,223,219,221,220,222,255,255,255,211,156,119,104,98,113,223,227,226,227,232,205,169,191,151,219,228,225,224,224,225,222,224,222,229,255,255,255,218,168,123,103,94,189,236,227,229,228,234,196,171,189,143,216,230,227,226,225,226,223,225,222,230,255,255,255,224,173,132,93,114,235,229,230,230,228,239,188,161,189,138,187,238,228,228,228,227,224,227,227,232,255,255,255,227,181,142,90,153,244,227,232,231,234,230,171,161,178,147,159,239,229,229,231,229,225,228,228,233,255,255,255,230,184,144,94,159,241,237,239,240,238,168,163,186,177,138,180,240,230,231,231,230,227,227,225,236,255,255,255,231,183,148,123,88,126,161,164,193,180,142,170,175,161,155,233,234,232,231,230,230,227,228,226,236,255,255,255,227,185,161,140,98,98,107,118,131,137,151,167,169,141,209,241,232,233,232,231,231,228,230,227,242,255,255,255,223,196,178,152,110,111,127,137,149,153,147,159,145,179,244,235,237,234,235,233,233,231,232,228,248,255,255,255,230,209,188,156,123,117,138,143,147,153,150,135,144,239,239,238,238,235,234,234,234,231,234,230,251,255,255,255,242,219,189,155,134,120,137,145,145,150,148,122,206,246,238,239,238,237,236,236,236,232,233,231,255,255,255,255,250,225,189,154,135,123,132,146,141,148,129,189,248,238,239,240,239,239,238,239,238,231,233,229,255,255,255,255,250,220,174,134,124,119,130,140,143,132,152,249,240,242,240,240,240,239,238,238,238,239,242,244,255,255,255,255,244,201,139,112,115,113,125,133,139,126,222,247,240,242,241,242,241,241,240,239,239,208,192,181,191,172,165,146,127,110,87,78,89,108,123,126,120,195,252,241,244,243,243,244,243,241,241,240,241,121,110,98,89,81,75,66,62,64,58,47,47,60,90,112,188,253,241,244,244,243,243,245,244,243,243,241,243,115,110,99,94,90,83,72,68,67,57,47,46,44,38,71,251,246,246,247,246,247,245,245,245,244,243,244,243,114,107,98,91,83,79,70,66,62,54,45,42,46,39,76,253,247,249,247,247,248,246,245,245,244,245,245,245
12,100,105,113,127,131,137,141,146,148,150,153,154,157,159,161,163,164,165,166,167,169,169,170,170,171,171,170,171,100,105,114,128,133,139,143,147,148,150,152,155,158,159,161,163,166,166,167,169,169,170,171,171,172,172,172,172,101,105,115,127,134,140,144,147,149,152,153,154,159,163,162,166,160,167,169,171,171,171,172,174,173,174,173,173,103,106,118,129,135,141,145,147,150,154,157,167,138,138,170,176,131,123,171,168,170,175,173,175,175,175,175,175,103,108,119,131,136,142,146,149,154,149,182,181,145,116,154,179,142,105,127,139,122,162,179,175,176,176,176,176,104,109,119,131,137,142,146,150,155,150,199,188,159,130,136,180,152,129,100,136,113,116,177,177,177,177,178,178,105,111,123,133,137,143,147,151,153,157,200,204,172,135,132,183,156,134,97,127,130,98,154,183,176,178,180,179,106,112,125,133,139,144,149,153,149,172,179,195,184,138,125,187,156,130,94,124,129,99,161,183,179,180,181,181,107,112,125,134,141,146,148,147,155,178,175,166,171,131,108,168,154,121,92,126,122,104,173,183,181,181,181,181,107,113,126,134,141,144,155,191,200,149,115,121,152,117,95,137,127,107,96,125,114,112,182,182,182,182,182,182,107,115,129,134,141,140,186,219,179,133,114,94,137,117,91,122,117,102,94,115,106,118,186,181,183,183,183,183,108,116,128,135,141,147,196,172,161,138,125,94,123,146,98,118,142,114,102,137,119,125,190,182,184,184,184,184,108,117,130,137,139,159,192,146,150,149,128,105,84,115,83,96,138,111,103,152,136,99,144,191,184,185,185,185,109,118,131,137,137,167,187,150,131,149,127,118,74,61,82,105,111,106,128,134,114,96,105,183,186,186,185,186,109,119,131,137,137,170,201,164,137,126,119,107,70,79,118,151,156,148,148,133,118,114,115,185,187,186,186,186,110,122,133,139,136,176,200,163,148,120,104,98,86,106,151,172,172,164,150,129,123,109,137,192,186,187,187,187,110,123,135,140,137,177,196,172,155,128,113,130,125,153,179,182,177,159,140,127,113,102,166,191,187,187,188,188,112,123,133,140,140,172,189,167,152,130,130,139,133,179,181,180,177,153,133,124,107,119,189,187,188,188,189,189,112,125,133,141,143,162,187,165,149,134,133,125,138,174,172,178,168,143,127,119,103,153,193,186,189,188,189,189,113,126,133,140,145,156,186,161,150,142,136,134,153,168,172,172,154,135,122,112,110,181,189,189,190,190,191,191,114,128,136,141,148,150,178,165,159,158,145,139,158,166,168,155,139,126,117,105,135,193,187,189,191,191,192,191,116,128,135,142,149,148,170,174,160,155,143,134,142,155,155,140,123,117,113,108,173,191,188,189,191,192,192,192,117,129,135,142,148,151,163,182,155,149,138,127,124,135,134,126,115,116,105,142,193,188,190,191,191,192,192,192,117,130,135,142,148,153,158,187,166,146,130,122,126,127,127,122,113,111,113,182,188,189,191,192,192,192,192,193,117,130,135,142,148,152,156,186,178,150,132,131,138,128,127,126,114,98,141,194,187,190,192,192,193,193,193,193,119,130,136,142,150,151,166,196,187,158,148,144,143,128,120,117,109,90,150,195,188,191,192,192,193,193,193,193,119,131,136,144,145,168,188,182,204,164,154,144,138,125,116,108,106,87,152,195,187,191,192,192,193,194,194,194,120,131,137,144,146,195,200,159,190,169,158,142,134,123,108,107,105,89,161,195,188,192,193,193,194,194,194,194
14,128,131,134,137,141,144,147,149,149,149,151,155,156,156,158,160,159,158,159,160,160,161,161,161,161,160,160,160,128,132,134,138,143,145,148,148,150,151,155,157,158,158,161,162,160,162,163,163,164,165,163,163,163,161,163,162,129,132,135,139,143,145,148,150,152,154,155,157,159,159,160,166,168,165,165,164,165,166,165,164,165,164,164,164,130,134,136,141,145,146,150,153,152,155,163,159,164,160,145,134,141,159,166,170,169,167,167,167,167,167,166,166,132,139,141,144,146,149,151,154,149,178,187,172,157,138,124,127,118,120,114,117,160,171,166,167,167,167,166,167,133,138,143,146,148,151,153,147,171,210,167,129,112,86,61,85,103,93,68,66,83,175,169,169,169,169,169,169,135,139,141,145,150,151,153,150,218,190,121,74,57,48,47,44,58,63,62,74,54,120,183,171,172,174,172,168,136,139,142,148,150,153,146,185,227,149,99,74,37,33,40,25,33,56,76,74,57,63,108,121,130,176,171,172,139,141,145,149,152,154,149,223,186,110,78,48,31,44,39,26,29,45,80,81,42,71,50,81,100,177,172,175,140,143,146,149,155,146,179,231,152,94,69,33,22,33,29,41,34,142,177,169,135,78,74,85,109,183,173,174,140,144,148,150,155,151,225,214,143,92,75,63,36,11,28,36,73,181,177,176,189,107,109,87,108,186,173,175,140,145,152,156,146,187,243,199,141,90,75,63,43,32,32,37,147,182,174,179,175,102,120,90,79,181,175,175,141,147,153,157,142,203,239,196,139,83,69,56,36,42,34,81,188,175,177,180,173,94,117,99,59,150,185,175,143,149,152,159,140,198,243,196,146,99,65,45,30,38,26,118,188,176,178,183,171,89,108,100,66,128,188,175,144,150,154,161,142,200,244,196,150,113,76,46,34,35,19,133,192,180,178,186,156,108,127,109,74,144,187,176,144,151,155,162,140,209,241,200,158,115,83,59,29,32,19,98,180,181,184,194,138,113,133,113,83,164,187,178,146,151,154,164,141,212,243,206,159,125,95,77,38,35,46,46,71,90,122,162,104,114,128,108,93,176,185,183,148,151,155,164,140,211,239,203,162,131,106,90,54,34,54,56,61,73,85,87,89,120,127,99,102,188,183,183,148,154,159,164,144,209,232,201,166,137,109,89,67,34,55,66,84,96,105,108,85,92,121,93,118,193,183,184,149,156,160,164,144,212,230,203,166,137,107,86,77,45,61,80,99,105,106,106,90,79,99,85,143,193,184,186,152,158,161,164,142,209,221,195,161,132,101,85,78,59,66,84,99,105,105,104,94,87,95,78,163,192,185,186,152,159,161,167,147,202,212,185,158,129,104,93,82,71,77,89,97,101,99,97,94,95,83,115,188,186,186,186,153,157,163,166,155,207,212,187,160,132,115,102,89,78,84,93,95,102,96,93,98,90,129,185,190,190,189,187,154,159,163,167,158,217,216,188,165,134,114,98,89,84,82,93,96,100,95,101,88,141,196,191,190,192,189,190,154,160,165,169,154,219,216,193,168,134,106,89,91,92,87,94,99,101,102,88,118,192,191,190,192,192,188,190,156,162,165,168,156,222,208,186,162,126,99,91,96,95,92,99,104,104,89,115,187,192,191,192,192,192,189,191,157,163,166,168,159,219,204,187,165,131,96,93,96,91,89,97,104,92,126,192,193,193,193,193,192,193,191,190,159,163,166,168,167,213,206,190,177,145,96,89,90,90,89,95,93,121,191,195,194,193,193,193,192,192,193,192
15,92,103,115,119,121,127,135,144,149,155,160,165,169,171,174,178,181,185,187,191,194,196,198,199,201,202,203,205,94,104,115,120,122,127,136,144,150,156,161,165,169,172,176,178,183,186,188,193,196,197,199,201,203,204,205,206,95,106,116,120,124,130,138,145,151,159,163,165,169,173,177,181,185,188,193,195,197,198,201,203,204,205,206,208,97,108,119,122,126,133,140,147,153,158,162,167,171,175,178,182,186,189,194,195,196,199,202,204,205,206,207,209,97,108,117,121,126,131,139,148,154,158,164,167,170,176,179,182,187,188,192,195,199,201,203,205,205,206,208,209,108,116,127,129,132,142,148,152,149,154,159,163,170,175,179,182,187,193,197,196,199,203,205,207,208,208,209,211,147,133,139,141,143,157,166,168,174,171,161,157,159,160,173,173,166,167,178,199,204,202,207,209,209,210,210,211,127,103,110,121,138,155,160,170,190,182,171,173,177,187,181,182,183,156,137,127,182,210,204,209,209,211,212,212,88,86,95,99,108,122,132,150,182,191,190,190,191,195,199,181,177,199,144,106,93,171,215,207,210,211,212,213,104,118,122,121,124,128,134,136,146,163,181,205,209,173,177,187,141,208,142,109,127,101,171,217,206,212,211,212,102,114,122,124,131,140,143,155,145,124,132,138,170,167,145,156,131,213,147,95,145,153,83,179,213,209,211,213,105,117,123,124,130,136,143,178,135,112,100,114,151,162,121,114,121,167,143,119,143,155,96,85,207,210,210,211,104,117,122,124,131,133,160,195,113,98,110,134,169,160,125,112,123,110,111,128,147,132,84,55,118,223,207,211,105,117,122,124,130,137,153,209,129,97,134,149,165,149,120,114,116,115,114,132,149,145,88,60,52,144,219,214,105,117,123,124,132,135,174,214,207,161,135,118,124,115,94,95,98,111,128,141,146,141,98,65,62,56,128,210,105,117,122,124,130,133,188,216,199,210,177,112,52,46,47,40,46,72,109,131,125,116,89,75,75,67,53,94,105,116,121,124,131,136,164,212,203,180,189,200,104,11,24,16,22,31,66,118,126,119,108,105,91,77,70,61,92,98,105,109,115,118,125,189,206,178,170,208,115,34,25,19,31,23,63,133,146,144,136,128,108,84,74,73,67,71,73,72,76,72,85,209,195,174,160,157,72,42,29,23,37,34,49,111,136,141,138,128,110,87,72,79,77,77,79,79,82,83,85,178,212,183,139,129,105,48,31,33,38,48,60,76,105,117,124,119,106,87,75,78,78,77,79,82,82,85,82,96,150,171,152,136,126,71,40,41,36,47,65,70,84,109,115,108,93,86,83,78,79,79,81,81,82,84,86,83,84,91,94,94,84,75,52,45,35,41,63,75,64,91,105,102,92,88,85,84,79,79,81,82,83,82,84,85,85,88,87,86,85,92,87,70,69,61,74,90,79,79,95,91,86,79,80,84,78,78,79,82,83,83,86,86,86,90,91,91,93,103,109,127,122,102,121,131,137,126,118,110,85,73,89,94,78,78,79,80,82,84,85,85,86,88,89,90,90,90,88,120,110,137,171,173,164,156,138,122,97,94,116,113,77,78,78,80,82,84,84,84,86,89,89,90,90,92,89,88,89,108,136,150,157,132,111,98,106,116,119,138,77,78,79,80,82,82,85,85,86,87,88,88,89,88,90,91,92,93,86,103,116,98,114,125,116,105,122,154,76,78,79,80,81,81,84,84,84,85,85,86,87,88,89,90,91,92,93,93,90,109,134,137,105,113,133,155
7,160,163,164,166,167,168,170,170,171,171,171,171,170,171,170,169,169,169,170,167,167,166,165,164,163,162,161,160,162,164,166,167,169,169,171,171,172,173,173,172,172,172,171,170,171,169,169,169,169,167,165,165,164,163,163,162,164,165,167,169,171,172,173,174,175,176,175,174,173,174,174,173,171,171,171,171,169,169,167,166,164,164,164,163,165,167,169,170,172,173,176,175,176,176,175,176,177,176,175,173,173,173,171,171,171,170,168,167,167,166,165,165,166,169,171,173,174,175,178,178,177,178,177,177,178,177,176,175,175,173,173,172,171,171,169,169,169,167,167,166,168,171,174,175,177,179,179,180,180,179,179,178,177,178,178,177,176,175,174,173,171,172,171,170,169,169,168,166,171,173,175,176,179,182,183,187,185,183,184,184,185,185,184,183,182,181,180,181,179,175,174,172,171,170,169,167,171,173,177,178,179,178,164,157,167,172,165,155,156,157,163,163,160,157,162,151,151,168,172,173,173,172,170,170,173,176,179,179,178,162,131,107,109,122,134,125,116,106,121,139,138,123,136,109,134,175,145,172,175,173,171,170,175,177,176,173,164,153,144,132,104,88,107,114,117,103,108,126,125,120,117,112,123,149,130,173,178,175,172,171,173,169,161,155,157,161,162,141,89,73,89,101,94,70,81,77,82,92,86,84,91,96,138,178,163,173,175,172,164,159,158,159,151,141,153,123,67,79,91,109,107,94,76,88,121,138,128,110,123,124,158,201,128,157,180,174,162,158,155,149,138,133,137,129,89,62,68,87,94,106,100,87,122,142,133,121,120,117,108,124,123,175,179,176,161,152,145,141,140,139,138,141,114,63,38,38,51,73,79,76,90,89,92,85,91,103,117,141,178,183,178,178,154,146,141,138,137,136,137,128,99,63,39,50,123,99,96,104,118,131,142,155,176,186,189,190,184,181,180,179,147,139,132,131,124,123,121,113,89,56,47,37,156,209,191,195,200,200,197,194,190,187,185,185,184,184,181,180,141,136,132,130,130,128,125,121,101,57,44,42,67,201,194,195,193,192,190,188,188,188,187,186,185,185,182,180,141,139,133,133,129,129,132,133,105,59,48,48,45,186,200,194,195,194,193,191,191,191,190,187,186,185,184,182,147,149,144,133,125,115,119,117,93,66,59,53,34,151,207,195,194,194,194,193,193,192,190,189,188,186,184,184,149,148,145,132,123,112,105,98,78,70,70,60,40,70,207,198,197,196,195,194,193,192,192,190,189,188,186,184,141,137,127,112,104,96,88,81,70,66,72,58,32,94,208,198,198,197,195,194,193,192,191,191,190,187,186,185,126,121,102,83,70,67,71,50,47,58,60,83,141,184,201,197,197,196,195,193,193,192,192,191,190,188,186,185,83,94,84,64,85,131,180,148,112,120,156,194,209,201,199,199,199,197,195,194,194,193,192,191,191,190,186,185,10,23,16,99,204,202,202,208,208,207,208,203,198,200,201,200,200,198,197,196,196,194,192,192,191,190,188,187,0,0,0,175,203,196,199,198,199,200,201,201,202,201,200,200,200,199,199,198,196,194,193,193,191,190,187,185,1,0,83,207,194,198,199,200,203,203,202,203,203,201,201,200,200,198,198,197,194,193,193,192,192,192,192,192,9,0,179,202,197,201,202,204,205,205,206,206,205,204,203,202,202,202,201,201,199,197,198,199,191,185,175,161,12,3,167,185,180,182,184,185,185,185,185,184,184,184,183,181,180,179,179,178,176,174,162,123,81,65,47,31
10,62,102,90,22,51,77,79,85,91,100,115,122,128,134,138,142,143,144,147,150,153,156,157,158,161,162,163,164,68,108,83,19,58,78,80,87,92,100,116,123,129,134,138,143,144,145,151,152,155,156,158,160,161,163,164,165,79,110,73,19,64,78,81,87,93,104,117,124,132,137,141,142,150,147,137,155,156,157,159,160,163,164,166,168,91,112,64,22,69,78,83,88,93,107,120,125,132,138,143,140,169,147,109,156,156,158,161,162,164,164,167,169,100,112,53,28,73,78,84,89,95,109,121,127,134,139,143,141,172,156,106,152,159,159,162,163,165,167,169,169,102,113,43,34,75,79,85,91,97,111,122,128,135,139,144,142,169,161,101,143,162,160,163,165,166,168,170,169,107,113,34,39,76,79,85,90,97,113,123,130,135,140,144,146,162,169,113,126,167,161,164,166,169,169,170,171,113,108,26,48,77,79,86,93,99,114,127,132,137,141,147,146,156,171,124,107,168,162,165,167,170,171,171,173,118,103,22,55,78,81,85,92,98,141,127,101,136,142,145,148,153,164,134,95,156,166,166,168,171,172,172,174,122,94,19,60,79,79,94,98,104,154,119,85,111,147,145,149,151,174,152,90,136,170,166,169,171,172,174,175,127,84,20,67,74,96,154,100,91,136,136,100,84,141,148,151,149,189,168,99,116,173,165,171,171,173,175,176,129,71,23,72,77,96,128,85,70,103,153,125,81,118,158,150,151,185,157,110,102,172,167,171,173,175,175,177,129,60,26,74,80,83,94,93,77,88,151,126,91,80,126,153,157,172,149,116,91,166,170,171,175,177,177,178,130,48,32,79,80,86,92,98,99,90,146,130,94,77,74,113,156,152,143,126,87,156,174,172,175,178,179,180,128,39,40,82,82,87,93,99,111,117,165,153,111,83,72,71,103,121,135,126,89,149,176,173,176,178,179,180,123,31,46,81,82,86,94,98,109,148,183,163,131,92,75,61,74,92,117,120,85,139,179,173,176,178,180,181,116,24,52,82,82,88,93,99,167,176,171,171,146,112,85,74,78,98,106,111,79,122,181,174,177,180,180,180,107,21,60,84,83,89,89,116,193,180,172,170,160,134,97,81,81,90,100,101,75,117,182,173,178,181,181,182,95,21,66,84,83,89,91,113,196,180,172,178,161,139,98,79,74,80,94,90,69,144,182,174,179,181,181,183,83,21,70,83,85,90,94,102,164,129,178,184,154,130,94,80,75,85,95,83,91,174,176,179,179,180,182,183,69,22,74,84,85,90,95,100,129,109,197,171,145,129,101,87,79,85,92,76,131,180,174,179,180,180,182,183,55,28,79,83,85,90,98,96,158,176,194,173,142,124,106,90,84,84,86,82,164,177,177,178,180,181,183,184,43,32,81,83,85,91,96,104,188,194,192,163,144,112,106,93,87,83,74,112,179,175,178,179,180,181,184,185,34,39,82,82,84,92,92,119,203,191,183,153,140,105,99,96,89,79,75,158,177,176,179,181,181,183,185,186,26,44,83,82,85,92,93,117,201,194,172,143,129,102,95,94,91,71,108,178,174,177,179,180,181,183,185,186,21,49,85,83,86,93,92,120,206,185,167,136,122,102,93,90,86,65,141,178,175,177,178,180,182,184,185,186,20,56,86,83,86,94,93,124,195,171,170,144,132,108,90,84,75,73,158,174,175,177,178,181,183,185,186,187,21,59,85,83,87,93,97,114,166,168,176,164,142,113,89,79,65,86,171,173,175,178,179,181,184,185,186,187
14,171,171,171,173,173,173,173,173,173,173,172,171,171,170,168,168,167,165,164,163,161,160,159,158,157,154,152,151,173,172,173,174,175,176,176,176,176,175,175,173,173,172,171,170,169,167,165,166,165,163,161,160,159,158,156,155,174,175,175,177,177,179,179,178,177,176,177,176,175,173,172,171,170,169,167,167,165,164,163,162,160,158,157,156,175,177,177,179,179,180,179,179,180,180,179,178,178,175,173,173,171,171,169,168,167,166,164,164,162,159,158,157,177,178,179,180,180,181,182,181,182,183,182,176,166,177,178,178,174,173,172,170,169,167,165,165,164,162,160,158,179,180,181,182,182,183,185,184,180,168,157,147,104,117,125,152,171,176,176,172,171,169,167,165,166,164,161,159,181,181,182,184,184,185,186,179,158,137,113,88,64,72,92,100,121,136,160,176,173,171,170,168,167,165,163,161,182,182,183,184,185,185,186,174,143,102,72,61,63,58,75,89,99,89,118,182,174,172,171,169,167,167,165,163,182,184,185,187,186,181,175,152,110,56,48,50,52,50,54,58,73,61,80,156,177,173,172,171,168,167,166,164,183,185,187,188,187,171,158,122,73,54,45,46,51,50,51,52,59,69,72,82,171,176,174,172,171,170,166,165,185,186,187,188,186,165,141,84,55,57,52,51,51,47,52,54,56,68,64,93,181,178,175,173,171,170,168,167,187,187,188,188,188,172,144,79,53,50,51,55,52,73,157,147,149,84,67,74,148,180,176,174,172,171,169,167,187,189,190,190,189,173,145,88,51,46,48,55,51,140,196,191,194,169,110,80,89,116,165,176,173,172,171,168,188,189,190,190,189,174,143,86,58,58,50,43,114,193,190,189,188,190,167,102,101,87,142,181,174,173,172,171,189,190,190,192,189,178,147,93,69,64,57,63,185,193,193,190,190,185,124,106,102,83,158,180,176,174,173,172,190,191,192,194,189,181,158,111,80,62,54,78,195,193,192,191,193,153,102,103,91,94,181,180,177,175,173,172,190,193,194,193,186,179,163,116,87,62,50,103,203,195,193,194,180,106,93,97,74,131,186,180,179,177,175,173,191,193,194,193,183,181,162,123,93,64,51,75,165,191,198,192,135,97,85,85,63,166,184,181,180,178,176,173,190,193,194,192,184,179,161,125,91,65,60,59,71,96,158,140,98,102,92,64,123,187,183,182,181,179,177,174,192,193,195,191,183,185,163,125,97,70,61,65,72,78,83,80,88,94,76,106,188,186,183,181,180,179,177,175,192,193,196,189,183,189,162,123,97,72,58,66,74,80,84,80,82,85,87,182,189,186,184,182,180,179,178,177,193,194,196,187,185,186,157,119,100,75,58,66,75,79,86,87,75,66,157,194,188,186,185,183,181,180,178,177,194,195,196,186,186,181,153,118,104,79,59,66,77,82,85,84,65,107,194,190,188,188,186,184,182,180,179,177,193,195,196,184,186,174,147,121,105,80,59,69,81,86,86,72,80,189,193,190,189,188,186,186,184,181,179,177,194,195,196,183,181,164,141,116,102,78,58,69,82,83,77,55,134,201,193,193,190,188,187,186,184,182,179,177,195,196,196,183,175,160,138,115,98,78,60,67,79,77,63,79,192,195,193,193,192,189,187,186,184,183,180,178,195,197,195,183,169,159,133,109,91,75,60,66,72,68,57,163,201,196,194,193,192,189,188,187,185,183,181,179,194,196,194,183,163,154,129,106,85,70,58,62,61,53,141,204,197,196,195,193,192,189,189,187,185,182,181,179
2,219,221,223,224,224,224,224,224,224,223,221,221,221,220,220,218,217,216,215,216,215,215,211,213,195,82,71,86,221,223,224,225,225,225,225,225,224,225,224,223,224,221,220,220,220,219,217,216,216,215,212,219,175,70,77,96,223,224,225,228,226,226,227,227,227,226,226,226,223,221,222,219,211,218,220,220,217,215,216,218,193,95,85,93,225,226,228,227,229,229,228,228,228,227,226,224,225,229,230,195,127,149,187,146,217,221,217,214,220,125,91,94,226,228,230,230,231,230,231,230,229,228,230,241,235,215,169,131,98,88,122,88,168,225,217,215,223,142,78,77,227,228,232,232,232,232,233,233,230,237,249,248,186,124,103,91,81,84,90,92,80,181,228,215,225,179,70,52,228,230,232,233,233,234,234,235,231,245,247,199,127,72,78,81,67,72,80,85,66,173,232,220,220,222,88,34,230,233,234,234,236,235,236,235,237,255,201,113,92,71,64,75,79,73,85,106,160,224,222,223,220,225,152,102,232,233,235,234,236,238,238,231,251,255,163,90,87,86,76,81,72,152,213,224,233,225,225,224,222,225,176,160,233,234,235,236,238,240,239,232,255,241,151,97,85,88,76,94,176,233,233,227,225,226,228,226,221,233,123,159,234,235,236,239,240,241,237,245,255,209,128,78,77,77,75,153,251,229,232,230,228,229,228,226,224,231,134,195,236,235,238,240,241,241,236,255,255,195,136,95,92,77,72,164,246,232,233,232,231,230,227,226,226,229,189,172,238,240,241,242,243,241,243,255,251,183,129,106,101,95,71,197,244,234,235,233,231,231,230,228,227,227,225,186,240,243,243,243,244,240,255,255,229,165,117,100,97,98,98,225,241,235,236,234,233,233,232,230,229,228,225,212,240,242,243,244,244,239,255,255,213,153,107,96,95,96,100,229,242,237,237,235,234,234,233,231,230,229,228,217,242,242,243,246,243,243,255,255,204,145,106,97,99,99,108,236,240,238,238,236,235,234,233,232,233,230,227,224,241,243,245,248,240,255,255,245,192,137,104,98,102,91,109,249,240,239,241,239,235,235,237,237,234,233,234,228,242,244,248,247,242,255,255,228,179,127,99,96,91,91,78,182,254,237,239,241,243,237,217,201,185,174,182,225,245,247,248,241,254,255,255,213,163,121,100,87,85,90,94,94,241,253,246,237,206,181,181,177,173,159,104,170,248,248,250,238,255,255,247,197,154,119,97,76,81,89,98,82,145,216,202,177,175,180,189,173,141,142,144,195,247,250,243,246,255,255,238,187,145,116,90,70,90,98,100,105,93,114,153,180,197,185,148,114,156,222,235,233,246,248,234,255,255,255,226,183,139,107,82,77,107,114,125,124,124,132,162,182,162,126,99,172,243,235,231,231,248,233,255,255,255,255,218,175,130,106,80,91,118,125,136,133,131,138,145,126,123,167,213,242,233,233,232,229,234,248,255,255,255,244,211,165,122,106,84,105,123,129,134,131,122,106,104,162,226,247,242,236,234,234,231,230,240,255,255,255,255,234,199,149,116,106,93,121,131,134,125,114,90,113,202,249,246,239,239,240,236,234,232,231,255,255,255,254,234,207,175,129,112,99,100,121,127,128,102,91,179,241,249,241,242,241,240,240,237,235,233,231,255,255,247,224,198,180,141,112,99,97,108,111,117,95,91,199,255,245,242,243,242,241,240,239,237,235,234,234,255,252,228,197,175,163,121,97,95,102,99,99,94,120,219,255,241,243,244,244,243,241,241,240,238,235,235,234
11,129,133,138,142,144,147,149,152,154,156,157,159,161,163,165,165,167,168,168,169,171,171,172,172,172,172,171,170,130,134,139,142,145,149,151,153,155,157,159,161,164,165,166,167,168,170,171,172,173,173,174,173,174,174,173,172,131,135,140,143,145,149,152,154,157,158,160,162,165,166,166,168,170,171,172,173,174,174,175,174,175,174,174,174,132,137,141,145,147,149,151,154,158,159,161,163,165,167,167,166,169,172,173,174,174,174,175,175,175,176,176,176,133,138,142,145,148,150,153,156,159,161,163,165,166,168,169,157,137,173,175,176,176,176,177,177,176,177,177,177,135,139,143,147,149,152,154,158,160,163,164,166,168,169,173,159,107,170,176,177,177,178,179,179,178,178,178,177,135,139,143,147,150,153,155,159,161,164,166,167,169,170,181,151,104,170,177,178,179,179,179,179,179,178,178,177,135,140,145,148,151,153,157,160,163,165,167,168,169,170,187,136,113,176,178,179,180,179,179,180,180,179,180,180,136,141,146,150,151,153,157,160,163,166,168,170,171,177,186,128,129,178,180,180,181,181,181,181,181,180,180,180,137,142,146,150,152,155,158,160,164,166,168,168,170,186,161,112,149,178,181,181,182,182,182,182,182,181,181,181,138,143,146,150,153,155,158,161,164,166,168,168,168,187,129,104,168,179,181,181,181,182,182,182,182,181,181,181,138,143,147,150,154,156,159,161,164,164,173,172,134,143,114,117,179,180,181,182,182,183,183,182,183,182,182,181,138,143,147,151,155,158,153,161,176,147,146,160,122,97,99,148,180,181,182,182,182,183,183,183,183,183,182,181,138,143,149,169,186,179,145,113,169,137,106,142,113,86,93,171,180,181,182,183,183,183,184,184,184,183,184,184,138,143,163,171,164,178,143,102,156,123,110,147,106,81,107,180,181,182,183,183,183,185,185,185,185,184,184,184,138,145,167,156,140,168,139,101,145,108,126,137,96,77,128,182,182,183,183,183,184,185,186,186,186,185,184,183,138,157,171,140,113,151,127,98,130,99,136,122,83,73,144,182,181,182,183,184,185,185,186,186,186,186,185,184,138,178,169,141,116,134,102,101,111,90,128,105,74,69,149,181,182,183,184,184,183,185,186,186,186,185,185,185,147,191,166,142,117,117,91,110,92,94,135,89,68,76,132,179,181,179,172,163,158,156,171,185,186,186,185,185,164,190,161,141,120,106,97,123,76,79,116,79,93,110,118,149,163,169,168,158,149,135,124,149,186,186,185,185,168,182,164,147,128,110,107,120,107,123,134,142,145,144,148,158,163,159,149,135,127,130,124,109,175,186,186,186,163,180,168,153,135,119,130,154,162,160,157,159,155,143,145,146,129,125,137,151,170,180,169,152,181,187,187,186,166,185,169,156,137,125,140,166,162,156,160,154,143,120,117,116,142,171,185,186,187,188,187,187,187,187,187,187,181,184,161,148,131,127,140,158,154,151,152,135,114,99,126,167,183,185,186,187,187,188,188,188,188,188,188,188,190,160,146,136,130,132,138,142,146,142,126,101,102,146,178,183,185,186,186,187,188,189,189,188,188,188,188,188,188,157,142,142,140,135,135,128,129,114,93,120,166,180,181,183,185,186,186,187,188,188,188,188,188,189,188,188,183,168,135,151,152,138,128,112,105,94,138,171,176,178,179,181,183,184,183,185,186,187,187,187,187,188,188,192,181,171,132,158,154,133,114,98,86,131,170,173,175,177,178,180,181,183,183,184,185,185,186,186,197,204,206,206
14,145,144,144,145,145,145,146,146,146,146,147,146,146,146,147,146,147,147,146,146,146,145,145,145,144,144,146,110,148,147,147,147,148,148,149,150,151,150,151,150,148,149,149,149,150,150,148,148,148,148,147,147,146,144,149,92,150,150,150,148,150,151,151,152,150,151,149,150,151,151,150,154,154,151,152,152,152,150,149,149,148,149,150,123,153,152,152,153,154,153,153,152,156,161,150,140,154,153,140,136,149,156,156,154,154,153,152,153,151,150,151,142,156,156,156,158,157,156,153,165,179,146,140,138,141,129,100,116,133,139,144,160,156,158,158,156,154,153,154,149,159,159,158,161,158,165,178,174,155,88,64,88,100,98,58,53,116,99,76,162,159,160,160,158,156,156,156,154,161,161,161,163,156,180,189,113,79,55,17,32,51,58,38,32,65,68,37,140,171,162,156,160,159,158,158,157,163,162,162,165,156,188,182,102,35,25,19,14,20,28,31,25,36,44,59,73,139,137,108,122,163,158,160,160,165,164,165,167,158,195,177,118,55,29,26,21,20,19,28,25,26,62,108,73,51,131,104,106,169,161,163,161,168,167,168,167,160,196,162,93,35,19,25,35,31,19,29,33,28,43,61,35,103,152,75,131,174,164,165,164,168,167,169,167,171,197,159,114,69,32,19,31,23,35,27,51,104,140,117,85,152,139,65,143,174,166,166,166,170,170,172,168,179,200,166,129,93,58,43,22,26,59,36,101,189,174,182,159,157,138,63,137,176,168,168,168,173,174,175,168,187,206,175,134,81,55,46,40,40,44,38,142,179,171,173,144,153,128,64,125,180,169,169,169,174,174,176,169,190,212,182,135,74,48,41,38,55,40,62,181,173,176,165,150,155,123,63,101,185,170,170,170,174,175,176,173,191,212,184,148,97,54,33,34,52,38,95,191,172,178,155,167,159,116,51,130,183,172,174,172,175,176,179,172,189,215,187,151,111,66,34,32,46,26,114,180,180,168,144,170,160,91,75,182,176,176,176,174,177,179,182,170,183,214,189,159,121,71,42,36,33,31,74,96,139,136,145,159,140,67,138,188,175,178,175,175,180,180,182,170,183,213,190,161,129,87,51,20,36,49,65,94,112,122,140,144,105,78,180,180,180,181,180,178,180,180,182,173,184,212,195,164,134,99,65,23,41,55,86,114,126,122,117,116,71,125,191,181,183,182,181,179,181,181,184,171,181,211,196,169,139,105,74,36,40,69,105,128,131,110,96,80,59,172,186,183,183,183,182,181,183,181,184,171,174,210,194,173,143,110,76,51,39,68,108,128,128,107,78,58,87,194,181,182,183,184,184,184,183,182,185,174,172,206,194,176,146,116,80,62,42,58,105,127,121,93,67,59,160,190,184,185,183,184,184,183,186,185,185,174,176,202,193,177,151,124,89,71,54,54,112,124,111,83,49,111,200,184,186,186,185,185,184,183,187,187,189,171,181,207,192,175,157,131,89,76,69,50,109,108,94,74,44,159,197,187,188,188,186,186,187,186,187,187,193,173,187,211,190,176,163,135,93,77,73,52,88,94,87,60,69,193,191,189,188,188,187,187,187,186,189,188,191,174,200,206,193,188,164,136,94,77,69,56,73,80,78,44,133,202,190,191,190,189,188,187,187,186,189,188,185,172,208,208,196,182,155,121,87,72,64,59,66,68,57,83,194,194,192,192,191,189,189,189,188,187,190,191,178,174,204,204,193,167,134,103,78,65,59,63,65,65,58,167,201,192,193,193,192,190,190,190,189,188
22,128,133,137,139,141,144,147,150,151,152,153,155,155,155,153,155,158,155,156,154,152,154,153,151,150,149,148,147,133,136,140,142,144,147,149,152,154,152,158,158,158,157,164,150,139,160,156,157,156,156,156,155,152,150,150,149,135,139,142,144,148,149,151,154,156,170,131,152,163,156,189,143,87,166,158,159,160,160,157,157,155,154,153,152,135,141,144,148,151,152,154,156,162,194,92,134,171,160,192,139,93,168,160,163,139,143,162,157,157,156,156,156,138,143,147,151,154,157,158,158,165,186,97,127,174,163,183,128,101,171,162,170,115,101,171,158,160,158,158,158,141,145,150,153,156,158,159,161,163,190,114,114,178,166,176,132,110,174,168,179,108,106,173,162,163,160,161,160,142,147,151,155,158,159,162,166,163,194,137,108,177,169,182,142,113,175,174,182,102,124,175,164,165,163,164,163,145,149,154,158,161,162,165,169,165,196,161,104,171,174,173,137,111,176,186,181,94,147,174,167,167,165,165,165,148,153,158,160,162,165,166,170,167,195,164,92,158,178,171,131,112,181,194,173,91,164,175,170,169,169,167,166,149,155,158,161,164,167,169,172,168,200,193,102,138,182,186,127,114,190,194,144,92,177,174,172,172,171,169,168,150,155,159,163,166,169,172,175,170,189,193,108,131,188,187,115,125,204,203,112,108,187,173,174,174,173,171,170,153,158,162,166,167,170,174,176,195,183,169,131,125,161,181,107,150,211,186,89,144,187,177,177,176,174,174,172,154,158,163,166,170,173,174,182,223,173,186,202,178,123,123,179,181,190,152,84,172,184,180,179,177,177,176,176,155,160,164,169,173,175,175,187,213,162,114,209,204,147,73,138,157,163,113,99,189,181,182,181,180,179,178,177,157,163,167,171,175,178,177,193,198,185,90,98,193,180,122,66,100,117,76,126,194,182,183,182,180,181,179,178,160,166,168,172,177,181,177,208,204,161,114,48,114,205,169,101,64,73,60,157,193,184,183,182,181,181,180,180,162,167,171,174,178,182,179,214,189,140,105,107,104,188,206,145,99,68,61,171,193,186,185,184,184,182,181,181,162,169,173,176,180,182,181,220,203,149,130,141,146,219,201,160,128,69,62,186,192,189,188,187,185,183,182,182,164,171,175,178,182,184,185,223,196,146,134,159,195,234,185,146,115,57,71,196,191,190,190,188,187,186,185,183,165,171,177,180,184,187,187,223,201,165,156,158,218,219,177,125,101,53,105,205,190,193,191,190,190,188,186,183,167,172,179,181,185,189,189,220,208,176,166,158,228,202,160,115,90,50,138,207,192,194,192,192,191,189,187,185,168,174,179,183,187,190,189,215,205,184,176,166,217,182,145,106,81,48,151,207,194,196,195,193,192,190,189,188,170,175,180,183,187,191,190,209,211,193,188,168,206,165,133,101,72,49,166,205,196,197,197,195,194,192,191,191,170,175,180,184,187,193,193,200,210,197,193,167,204,155,125,89,68,59,181,203,197,198,198,197,196,195,193,192,171,177,182,186,190,193,194,198,210,192,176,148,182,145,125,97,61,83,204,201,200,200,199,197,197,196,195,193,172,178,183,188,191,194,196,198,213,181,150,149,182,131,136,104,47,137,213,201,203,202,200,199,197,197,196,194,173,179,184,189,192,196,196,200,228,200,177,174,183,125,145,78,58,195,207,204,203,202,202,202,200,198,197,195,172,179,184,188,192,196,195,199,230,213,196,189,173,123,132,57,98,212,205,205,203,203,203,202,201,199,198,196
6,139,141,143,144,147,149,151,153,155,157,158,159,160,161,162,163,164,164,163,163,164,164,165,166,166,166,166,165,140,141,143,145,147,150,152,154,156,157,158,159,161,161,162,164,164,164,164,164,164,165,165,165,166,166,166,165,141,142,143,145,148,150,152,154,156,157,158,160,162,162,163,163,164,163,164,165,164,164,165,165,166,167,166,165,141,142,144,147,150,151,153,155,157,158,159,161,163,164,163,162,160,161,163,162,160,160,159,162,164,166,167,166,143,144,146,149,151,153,154,157,158,159,161,163,163,162,159,150,140,141,147,146,143,138,132,145,153,153,164,167,144,145,147,151,152,154,156,158,159,160,162,165,165,162,155,140,122,122,129,130,126,120,114,122,132,133,160,167,145,145,147,151,153,155,157,158,160,162,166,167,164,157,142,124,111,105,106,108,107,107,107,109,117,137,164,169,146,147,149,151,153,156,160,160,160,161,160,155,146,133,115,98,96,104,110,118,126,133,137,142,150,163,169,170,147,149,151,153,154,161,165,155,146,143,142,139,135,128,116,104,108,126,139,159,167,169,171,170,171,172,172,171,149,150,152,154,158,174,170,145,130,126,128,130,134,134,130,123,119,116,117,155,174,175,175,174,174,174,173,173,150,151,153,155,161,181,167,144,136,129,124,121,122,125,125,120,112,104,98,146,175,176,176,176,176,175,175,175,150,151,154,157,163,183,168,158,155,139,126,123,123,127,128,122,111,101,101,148,177,178,178,177,177,177,177,176,151,152,155,157,167,186,181,180,169,145,127,122,120,121,122,120,114,107,102,130,171,179,179,179,179,179,178,177,152,153,156,158,172,189,189,185,173,158,143,127,112,106,110,112,106,100,92,94,142,178,180,180,180,180,180,179,153,154,157,159,177,191,190,186,182,174,159,137,120,114,118,116,105,95,88,77,116,175,182,181,180,181,181,180,153,155,157,161,182,194,192,190,188,177,163,144,127,120,121,118,109,101,95,89,130,177,182,181,181,182,182,182,154,155,157,163,186,194,192,191,187,176,161,142,129,124,120,117,112,105,100,121,165,181,182,182,182,183,183,182,154,156,158,166,190,193,191,189,184,169,151,138,129,122,112,105,106,104,106,152,181,183,183,183,183,184,184,183,156,157,159,169,191,192,189,187,176,154,142,138,127,110,93,76,86,97,117,169,183,183,184,185,185,185,184,183,156,158,159,172,189,188,187,181,165,142,136,135,122,95,69,60,78,102,144,180,184,184,185,186,186,185,184,183,157,158,160,176,187,184,182,172,152,136,136,132,114,92,70,77,112,144,174,185,186,186,186,186,186,186,185,184,158,159,162,179,184,179,176,163,146,137,140,130,110,91,77,104,164,181,185,186,187,187,187,187,186,186,186,185,159,160,163,179,181,177,169,156,143,144,144,127,108,90,84,128,181,187,187,187,188,188,188,187,187,187,187,186,159,160,161,175,178,171,159,150,142,146,140,120,102,89,99,156,186,188,188,188,189,188,188,188,188,188,187,186,159,160,160,172,174,166,155,144,141,144,132,113,98,94,132,178,188,189,189,189,189,189,189,189,189,188,187,186,159,159,159,174,175,164,153,140,140,140,124,108,95,117,169,188,190,190,190,190,190,190,190,189,189,188,188,187,159,156,159,175,172,159,148,139,139,132,115,101,96,146,186,191,192,192,192,191,190,191,191,189,189,189,189,188,159,155,160,172,165,150,141,138,134,124,108,95,99,159,189,191,192,192,192,192,192,192,191,190,189,189,189,188
24,152,153,154,155,155,156,158,158,158,158,159,159,158,158,159,157,156,155,153,152,152,150,149,147,146,144,143,141,156,157,158,159,160,161,161,162,162,163,163,161,162,162,161,161,161,159,158,156,155,154,151,153,152,147,146,146,159,161,162,163,164,164,164,167,167,166,167,165,163,165,166,164,164,162,162,161,160,159,155,142,143,155,151,149,162,164,166,166,168,169,170,170,169,170,168,169,169,168,169,169,167,167,165,163,162,160,164,131,76,156,154,151,165,168,169,170,170,170,171,170,171,174,174,171,171,170,170,170,170,169,168,167,166,161,171,135,55,148,158,154,168,170,171,171,172,174,175,175,177,171,168,178,173,173,173,173,172,171,170,169,169,165,178,133,58,152,162,158,171,173,174,174,177,178,178,177,181,165,90,158,184,177,180,178,177,176,174,172,172,169,183,119,64,163,164,161,175,177,178,180,180,179,180,180,185,154,80,91,191,179,183,182,180,179,178,177,174,176,189,115,75,173,165,164,178,179,181,182,182,182,182,181,187,169,113,58,173,186,182,184,184,181,180,179,173,185,178,94,87,181,167,166,181,182,183,183,185,186,186,186,186,184,139,54,139,197,182,185,186,186,181,183,181,201,161,62,107,184,168,170,184,184,187,187,187,187,188,187,187,191,159,77,92,201,185,189,186,180,190,178,128,138,164,55,143,183,173,173,186,187,189,189,189,188,189,189,189,192,174,115,56,182,195,187,156,119,142,158,105,42,93,71,173,181,177,175,189,189,190,191,191,192,192,193,192,194,183,133,47,129,208,170,158,137,110,104,101,99,44,68,188,179,180,178,189,191,193,193,194,194,195,195,195,195,191,150,93,80,201,157,172,135,125,118,129,136,29,88,199,178,180,179,192,194,194,195,196,197,197,196,196,196,198,173,139,55,126,121,174,156,107,113,115,113,48,95,200,181,182,180,194,195,196,197,196,198,199,199,198,197,201,188,143,90,97,102,143,174,88,26,87,150,85,49,191,186,185,182,194,195,197,198,199,199,199,199,200,201,204,192,172,163,104,69,96,158,78,9,52,154,117,38,127,200,183,184,197,198,201,202,202,202,202,202,202,202,204,194,184,159,79,42,81,133,55,7,84,174,163,81,44,192,187,186,199,200,203,204,204,204,204,204,205,205,204,202,185,145,108,86,88,130,77,40,178,184,157,87,34,179,191,187,200,203,204,205,205,206,207,207,207,207,207,207,188,172,157,104,84,131,81,136,198,167,139,55,45,194,188,189,201,202,205,206,206,207,208,208,207,207,208,210,185,175,178,117,99,69,122,202,194,151,123,44,69,208,188,189,198,200,204,204,205,207,206,206,207,207,207,211,188,168,179,141,115,65,175,197,180,146,112,38,97,209,189,189,200,202,204,205,206,207,206,206,207,208,209,211,193,165,160,150,131,73,151,192,169,133,97,23,118,207,189,189,203,202,204,206,207,208,208,209,209,210,209,213,199,159,160,159,150,96,133,194,167,119,75,16,157,205,192,191,203,203,205,206,208,209,209,210,210,210,213,212,211,172,166,155,161,116,98,177,145,93,40,32,198,195,194,192,213,212,213,213,214,215,216,215,214,214,216,214,219,188,173,163,158,119,73,136,109,64,6,73,213,192,192,195,156,160,167,171,177,181,185,191,194,198,203,204,210,190,176,160,141,112,85,91,104,52,7,161,213,201,203,190,74,73,72,75,76,78,81,86,87,89,92,96,90,144,188,155,142,135,105,89,109,37,27,139,142,140,120,70
19,190,191,192,194,196,197,196,196,197,196,196,195,195,195,194,194,193,190,190,190,190,189,188,187,188,186,184,183,190,192,194,195,195,197,197,197,198,198,198,197,196,196,195,195,194,192,191,191,191,190,189,189,189,188,187,186,192,194,195,195,197,198,198,198,199,198,199,198,197,197,197,195,194,194,193,193,193,191,191,190,191,189,188,189,194,195,196,197,198,199,200,200,200,199,200,199,198,198,198,197,196,195,195,194,194,194,193,192,192,189,190,190,195,196,197,198,199,201,202,202,202,202,203,201,200,199,199,198,196,196,196,196,195,195,194,193,191,190,190,189,195,196,198,199,201,203,203,203,203,203,203,203,203,201,199,199,198,197,197,198,197,196,194,194,192,192,191,190,196,198,200,202,203,203,205,205,205,205,204,203,203,202,201,202,200,199,199,198,198,197,195,195,194,192,192,192,198,201,202,203,204,205,206,205,206,205,205,204,204,203,203,204,204,202,202,200,199,198,197,197,195,197,194,193,200,202,203,204,206,206,207,207,208,208,206,204,204,204,200,183,186,200,195,195,196,196,193,193,198,174,191,194,199,202,203,205,206,206,206,206,207,204,204,207,205,208,206,188,193,207,193,191,200,194,193,193,182,117,180,198,200,204,204,205,208,210,208,211,215,189,178,186,195,198,191,188,194,197,186,194,210,197,175,152,129,152,196,196,203,204,204,205,209,210,207,208,189,179,186,189,187,191,187,174,144,146,143,146,171,159,152,158,181,201,199,197,203,204,205,207,209,204,212,216,198,201,207,199,185,178,154,148,134,109,109,155,193,193,204,207,204,200,198,199,205,206,207,208,210,200,238,243,223,211,208,200,193,173,132,103,122,109,105,191,212,205,204,201,201,201,199,199,206,206,207,210,212,203,243,238,205,180,160,162,164,157,132,110,120,110,120,204,206,204,204,203,202,203,202,200,207,207,209,210,214,203,227,225,187,148,137,104,110,165,139,116,122,111,129,209,207,205,205,204,203,204,203,202,207,209,210,211,215,199,218,222,180,134,106,84,136,175,140,120,125,110,150,215,206,209,207,206,205,203,202,202,208,210,212,212,217,196,219,225,189,158,117,96,139,135,122,123,120,119,138,215,209,209,208,208,205,203,203,202,209,211,211,211,217,194,218,226,194,161,137,114,83,74,78,91,105,117,116,208,212,208,208,208,207,205,204,203,210,212,212,213,219,189,216,226,194,165,136,129,115,91,84,93,108,112,113,197,215,211,210,209,209,206,205,205,211,212,212,213,220,193,208,222,192,163,138,129,129,112,106,112,117,121,117,196,215,211,211,209,209,208,207,207,210,212,213,214,221,196,206,219,188,160,141,132,131,115,110,115,121,124,126,205,214,211,211,210,210,211,210,208,210,213,213,215,222,202,207,216,185,159,140,130,129,118,114,118,125,124,143,217,213,212,213,212,211,211,210,208,211,213,215,216,221,202,214,213,179,155,139,128,129,126,123,126,135,124,180,221,214,213,213,213,212,210,210,208,212,213,215,217,219,201,221,218,184,158,144,130,128,133,131,135,130,149,215,218,217,216,214,214,213,211,211,210,212,213,216,218,218,198,224,213,191,169,146,131,128,136,135,133,159,208,220,217,218,218,216,216,213,212,210,210,211,212,214,216,213,204,221,203,182,169,146,131,133,134,128,170,220,218,216,217,216,215,213,214,213,212,211,209,211,212,214,218,210,220,220,205,178,160,147,133,132,126,129,200,218,215,216,216,216,214,213,213,212,210,209,209
18,90,93,96,100,106,113,117,124,132,140,147,152,157,160,163,164,168,172,174,177,180,183,185,187,190,191,191,194,89,94,97,102,108,114,117,124,132,141,148,153,159,160,162,165,170,174,175,179,181,182,185,187,189,191,193,195,90,93,98,102,107,114,118,124,134,142,148,155,160,161,163,165,171,175,176,179,183,185,187,189,190,192,195,197,92,95,99,102,107,115,118,126,136,143,149,156,161,163,164,167,170,174,179,183,184,188,190,191,190,192,196,198,92,95,99,104,110,116,119,127,136,145,152,157,161,163,168,167,179,175,161,177,188,183,181,196,196,195,196,199,92,95,99,103,111,117,120,128,136,146,155,155,164,172,158,171,219,164,129,119,192,196,150,138,197,198,198,200,93,95,99,102,110,116,122,132,139,148,154,150,223,182,127,179,206,168,162,166,219,194,148,106,122,201,199,200,93,96,100,102,111,118,121,132,135,151,146,191,250,182,139,197,201,173,186,194,193,162,154,143,90,161,210,201,95,98,100,103,112,120,125,126,155,208,148,157,231,182,172,166,179,165,172,176,154,144,164,155,122,117,213,203,95,99,101,106,113,118,126,118,228,229,175,128,188,210,174,136,137,157,133,140,113,164,172,162,150,100,164,220,96,99,102,105,114,120,117,142,251,226,201,165,140,221,178,139,116,191,131,85,104,199,178,180,169,131,101,192,96,98,101,105,113,122,110,175,214,216,221,190,117,167,192,145,96,176,171,113,61,162,183,197,183,146,112,111,96,99,102,108,114,123,110,189,173,167,206,162,111,110,164,127,88,118,138,91,77,162,206,216,188,151,127,102,97,99,101,108,114,122,109,213,206,161,177,112,99,79,111,104,71,76,73,118,215,220,197,197,178,150,132,116,97,100,102,107,115,119,114,227,211,178,181,104,92,65,97,102,59,37,132,234,227,207,198,174,154,138,129,107,96,100,103,107,116,116,136,244,206,170,158,114,87,53,94,91,53,113,238,242,230,207,183,159,131,121,114,114,97,99,101,107,115,116,130,255,229,199,182,151,114,99,100,95,127,224,246,242,227,192,172,146,120,113,99,155,98,99,103,109,115,117,127,255,242,217,200,170,148,153,143,151,216,244,243,235,208,177,157,136,116,106,103,199,96,100,103,109,115,120,125,255,252,226,199,174,161,168,165,194,235,236,234,216,188,166,144,126,115,96,132,223,96,100,103,108,115,122,122,254,251,226,202,185,181,176,183,213,230,235,218,193,179,155,134,125,117,91,176,223,98,101,103,109,116,123,119,232,252,230,211,200,194,191,199,215,219,221,195,172,162,142,126,118,107,111,215,217,98,101,103,112,118,125,119,201,255,235,231,215,198,191,196,200,200,196,178,159,146,131,118,115,95,164,224,213,98,101,105,113,119,124,124,167,252,241,247,227,204,186,173,174,177,173,168,146,131,122,115,103,107,211,216,216,98,101,105,113,117,123,134,136,234,242,234,226,205,180,164,158,164,162,160,140,121,118,116,87,155,222,214,218,98,100,105,112,118,122,138,134,189,239,208,205,195,175,158,155,159,164,162,144,125,119,107,91,200,218,216,221,98,101,105,112,119,121,133,142,153,225,208,187,174,155,155,162,145,152,157,142,123,117,94,116,218,212,216,220,97,101,106,113,117,123,136,149,145,200,192,168,173,161,175,180,146,141,156,142,121,116,86,138,225,212,216,219,95,99,105,112,115,124,134,147,147,182,203,179,188,174,170,174,151,131,147,142,122,110,82,127,225,215,218,219
10,121,127,133,130,113,97,108,74,64,97,96,104,107,121,135,139,145,153,156,162,168,172,173,177,178,181,183,185,129,135,141,132,121,100,119,67,73,98,99,100,129,165,133,142,146,155,159,164,168,172,175,178,180,182,183,185,138,145,151,135,127,102,127,61,81,98,102,94,172,193,117,143,150,157,162,166,170,173,177,180,181,183,185,185,148,155,160,140,132,106,131,55,88,98,103,98,158,201,119,131,158,160,165,168,172,176,181,183,184,184,185,186,157,165,166,143,134,114,131,53,94,99,103,103,136,202,137,117,162,166,170,174,177,182,186,188,190,190,190,190,166,176,172,148,135,124,125,53,101,100,104,108,121,200,169,114,160,174,177,179,185,190,194,195,196,196,196,196,173,184,175,154,134,136,116,58,105,101,106,110,117,190,190,122,148,182,181,187,192,197,200,201,202,202,202,203,180,190,177,161,133,148,106,65,105,102,107,113,122,176,202,132,132,189,187,193,197,203,205,208,208,208,208,209,185,196,177,165,131,158,93,74,107,103,107,114,125,175,220,150,125,193,194,199,204,208,211,215,215,216,216,216,190,200,178,170,130,167,83,79,104,105,108,114,129,178,218,159,124,196,201,205,209,213,216,219,221,222,221,221,195,203,179,174,131,171,67,110,113,104,107,117,133,177,205,158,119,193,206,208,215,219,222,225,226,227,227,227,199,205,180,173,135,161,121,165,107,114,127,117,139,184,185,164,115,186,213,213,219,224,227,230,230,230,231,232,202,204,181,170,140,157,155,157,103,97,99,104,134,193,172,193,110,174,219,216,223,229,232,234,234,234,234,235,205,205,184,166,145,180,126,147,132,103,91,83,88,119,145,167,106,158,225,220,227,232,235,237,237,237,238,239,208,204,188,161,153,154,94,102,150,136,115,84,67,96,122,134,115,135,226,224,230,234,236,239,239,239,240,242,210,202,195,158,163,138,91,143,166,152,115,87,76,84,101,116,113,117,223,228,233,237,240,241,242,242,243,244,213,201,198,152,181,109,121,215,189,148,120,98,90,86,95,102,106,116,224,231,234,239,242,243,245,245,245,246,214,201,199,146,187,94,132,217,185,133,141,120,97,91,90,97,99,119,228,232,237,241,244,246,247,248,249,249,216,201,199,144,194,86,97,231,220,119,110,140,118,104,88,89,96,128,234,233,239,244,247,247,248,249,250,251,215,203,202,145,197,74,101,230,228,112,144,143,140,117,91,90,89,143,238,233,240,245,248,248,250,251,251,252,215,205,202,148,203,68,99,214,173,132,205,165,140,132,99,94,84,150,241,233,241,245,249,250,251,253,254,254,215,208,198,152,199,63,95,197,215,179,211,187,149,137,114,101,88,159,240,234,240,244,249,249,250,253,254,253,216,214,192,161,192,59,96,167,218,193,202,188,175,143,118,106,89,164,241,234,240,244,248,250,251,252,254,254,218,216,184,172,178,49,103,116,206,219,202,200,174,150,125,110,90,159,239,233,239,243,246,250,251,250,252,254,216,218,176,178,176,85,126,108,196,220,198,215,168,148,121,112,95,173,246,241,248,252,255,255,255,255,255,255,208,220,172,178,204,143,138,134,167,219,195,207,167,139,122,118,99,149,183,185,190,194,201,203,206,210,214,212,213,218,168,187,199,129,128,133,132,200,193,181,173,154,142,121,95,123,142,139,140,141,141,142,142,142,142,104,216,214,164,194,194,134,134,138,134,161,171,163,174,179,169,123,88,94,150,147,151,153,152,150,150,155,127,93
0,204,206,207,207,208,209,210,209,210,209,208,208,208,209,208,209,209,208,209,209,208,209,210,209,208,208,208,207,207,208,209,208,208,210,211,210,211,209,209,210,210,210,209,208,210,214,210,211,211,211,210,210,209,211,210,210,209,209,210,210,210,210,211,211,210,211,210,210,211,211,221,208,170,181,217,205,207,216,215,213,211,209,211,211,209,209,210,212,214,212,210,212,212,211,214,214,184,174,225,203,169,142,144,163,152,191,210,167,199,215,210,211,210,210,211,212,213,213,212,213,214,215,239,225,185,149,188,210,181,168,97,145,153,132,184,139,177,222,211,213,210,211,212,212,212,214,212,219,199,185,239,222,195,165,181,230,185,175,113,166,167,135,155,146,168,225,213,215,210,212,213,214,214,214,217,245,200,152,194,238,201,173,168,242,200,180,119,181,171,128,126,148,143,228,212,215,212,213,213,214,216,211,231,240,207,180,171,243,211,173,155,241,205,177,114,184,169,115,112,161,105,209,219,215,213,214,214,215,213,229,226,224,219,193,151,223,218,168,137,234,207,164,98,149,154,107,102,169,97,152,229,215,214,215,215,215,216,233,197,216,230,199,143,196,225,166,117,200,196,149,91,122,140,99,104,172,108,127,227,217,215,216,217,213,226,226,184,195,225,197,142,164,215,160,106,162,182,140,99,107,129,87,119,183,123,130,229,218,215,217,217,215,226,221,191,181,204,178,133,135,194,151,101,126,174,136,95,107,131,95,166,197,134,133,230,220,213,214,214,219,228,209,180,151,187,173,129,114,183,150,93,102,173,135,87,126,140,114,198,192,135,141,230,219,212,214,214,214,240,226,190,142,155,176,118,103,176,154,92,96,179,134,142,199,170,132,188,198,136,150,230,218,214,216,215,216,238,227,195,156,117,152,143,100,177,172,102,105,176,179,198,196,179,149,144,185,128,155,231,219,216,217,216,219,242,231,206,176,137,125,151,119,171,182,158,192,206,204,194,182,162,148,129,131,110,149,233,218,216,217,217,219,242,238,213,186,171,160,152,171,189,199,216,218,216,207,192,176,153,135,128,111,95,143,234,219,215,216,216,220,238,238,221,201,189,178,168,168,191,206,216,215,217,209,187,171,152,129,117,112,88,167,233,220,215,215,216,219,233,234,227,214,205,186,176,172,183,202,214,215,210,203,182,165,147,126,114,97,128,219,226,224,220,221,222,215,229,234,235,226,210,190,177,175,184,207,216,216,204,196,179,162,142,123,101,114,213,224,223,223,181,185,191,183,213,235,239,229,210,194,179,174,183,211,218,210,198,190,175,154,132,114,99,198,234,226,230,229,112,114,119,105,160,239,230,223,211,197,185,172,182,207,207,195,182,174,161,142,123,106,121,182,183,186,183,182,119,120,121,110,129,234,218,211,211,203,191,171,179,204,200,183,165,151,140,130,113,111,116,113,109,106,128,164,118,120,121,117,122,227,209,205,213,205,189,171,174,202,197,174,144,125,119,111,112,120,115,114,143,190,230,229,117,118,118,119,121,220,207,206,214,200,187,177,171,195,190,162,123,110,105,112,119,124,152,197,235,236,223,207,117,118,117,120,115,220,221,209,211,196,183,180,167,177,178,146,110,104,105,111,134,208,245,254,240,233,226,205,118,118,118,119,111,218,229,217,210,194,184,186,164,167,171,137,105,100,103,160,233,252,249,244,233,239,244,228,119,118,119,119,113,208,227,224,209,193,184,186,161,159,167,134,103,86,163,242,241,242,246,232,226,235,246,247
20,141,144,148,151,153,155,159,160,162,163,164,164,164,164,164,164,164,163,163,162,161,159,158,158,156,154,153,152,143,146,150,153,155,158,161,162,164,165,166,166,169,153,156,167,166,165,165,164,163,162,160,159,158,158,157,155,145,149,152,155,159,162,164,165,166,169,169,168,186,139,123,164,167,167,168,167,166,164,163,162,161,161,159,158,147,151,155,158,161,165,166,168,169,171,171,171,194,143,122,137,148,171,169,169,168,166,165,164,164,163,162,161,149,153,158,161,164,167,169,171,173,173,174,174,193,144,144,147,122,173,171,172,171,170,168,167,166,166,165,163,152,156,161,164,165,168,172,174,175,176,176,177,200,156,151,162,112,169,174,174,173,172,171,170,170,169,168,166,156,159,163,166,168,170,174,177,178,178,179,180,205,165,149,177,114,164,178,176,175,174,173,172,172,171,170,168,158,162,165,168,170,173,176,178,179,180,181,184,205,159,147,183,121,156,182,179,178,176,175,174,173,173,172,171,160,164,166,170,173,176,178,180,185,188,171,183,212,164,151,187,127,147,183,181,180,179,177,177,176,175,174,172,162,165,169,172,175,178,180,183,192,206,175,162,176,153,143,197,140,142,185,182,181,181,180,180,178,177,175,174,163,167,171,174,177,178,188,207,173,164,189,158,125,116,117,180,141,136,186,184,184,183,182,181,181,179,178,177,165,169,172,176,179,181,197,194,182,152,187,185,179,156,116,138,131,130,188,187,186,185,183,182,181,180,180,179,167,171,174,178,181,183,195,186,161,144,155,176,191,188,132,95,105,121,188,188,187,186,185,183,182,181,181,180,168,173,176,179,183,186,193,203,173,129,98,99,126,185,157,98,78,111,189,189,189,188,187,185,184,184,182,182,170,173,179,182,185,188,193,216,182,134,101,91,94,176,187,129,78,100,188,192,191,189,189,188,187,185,183,182,171,176,180,183,187,189,194,212,182,141,111,115,133,189,209,161,102,91,185,195,193,191,190,189,188,187,185,183,173,178,182,185,188,192,196,219,190,145,126,124,163,215,207,165,122,91,182,196,194,192,192,190,189,188,186,185,174,179,183,187,191,194,199,224,196,154,136,140,190,221,191,146,111,91,184,197,195,194,193,192,191,189,189,187,176,181,184,188,192,195,199,223,203,168,151,149,205,214,173,127,93,104,194,197,197,195,195,195,193,191,190,187,178,183,187,190,193,195,199,219,204,170,161,156,211,206,161,117,86,111,200,199,199,197,196,196,195,194,190,188,179,184,188,192,194,197,199,212,204,174,171,159,205,192,147,108,80,117,202,201,201,200,197,196,195,194,192,190,180,185,190,193,196,198,200,207,208,187,182,159,197,177,131,98,75,133,205,202,201,201,200,197,196,196,194,191,180,186,190,194,197,199,202,206,210,191,181,153,183,157,118,92,75,156,207,204,202,201,200,199,198,197,195,193,181,186,191,194,198,200,204,207,216,188,162,138,168,139,119,95,88,186,207,206,205,202,201,201,200,198,196,194,182,187,192,195,199,202,204,208,220,196,161,152,165,131,127,88,130,206,208,207,207,204,203,202,201,200,197,195,183,187,192,196,200,202,203,212,224,207,182,171,154,125,116,82,173,210,207,208,207,206,204,203,202,201,199,196,182,186,190,195,199,202,200,211,212,193,187,171,144,116,99,98,196,209,207,207,206,204,203,203,202,201,199,197,182,186,191,195,199,203,198,215,205,177,172,159,128,105,83,122,206,209,208,208,206,205,203,202,201,200,199,196
8,188,188,189,189,189,189,189,189,190,190,189,189,188,189,189,188,188,188,188,187,187,186,184,184,184,183,162,107,189,190,191,191,191,190,190,191,191,189,184,188,190,190,191,190,190,189,189,189,188,187,186,186,186,185,174,135,191,192,193,192,192,192,192,192,194,187,162,179,193,193,193,193,192,192,191,191,190,189,187,187,187,186,175,134,192,193,194,193,194,193,193,193,197,183,145,174,194,195,195,194,194,193,193,192,192,191,190,189,189,188,176,143,194,194,195,195,194,194,195,195,200,172,135,177,196,196,195,196,196,195,194,194,193,192,192,191,190,189,182,166,195,195,196,196,196,195,196,198,203,163,134,185,198,197,197,198,197,196,196,196,194,193,193,193,192,191,188,186,196,196,197,198,198,198,198,202,204,157,141,190,199,199,199,200,199,198,197,196,196,195,195,194,193,192,191,191,197,198,199,199,199,200,199,206,198,147,150,195,198,199,200,199,199,199,199,199,197,197,196,195,195,193,192,191,199,199,199,200,200,200,201,208,193,143,157,200,188,180,193,193,186,193,198,199,197,192,193,196,196,195,194,194,200,201,201,200,201,201,202,211,192,149,168,212,187,156,172,179,156,159,173,179,184,165,167,194,197,197,196,196,201,201,201,201,202,202,204,213,193,159,191,224,200,158,152,171,150,127,140,154,172,141,139,191,199,198,197,196,202,202,202,202,203,203,207,211,193,170,208,231,211,165,137,163,150,137,155,156,178,143,134,190,199,198,198,197,202,202,202,202,203,204,208,203,192,185,204,226,216,170,129,151,146,157,168,160,185,161,141,186,200,200,199,198,202,202,202,202,204,206,205,188,192,192,189,211,215,173,123,134,144,166,162,153,184,176,148,168,200,201,200,199,202,202,202,202,203,208,201,172,181,183,177,195,213,176,118,113,141,168,149,136,178,176,140,147,196,202,201,200,201,201,202,202,203,211,202,160,157,163,157,174,204,173,112,100,137,163,138,131,174,162,128,155,198,202,201,200,201,202,202,203,205,217,210,159,138,140,136,148,187,177,119,95,136,163,134,141,163,136,127,179,201,201,200,200,202,202,202,203,208,223,217,168,130,130,128,137,171,179,132,94,135,153,139,152,139,115,147,195,201,201,200,200,202,202,203,203,211,225,221,179,128,124,126,132,161,168,133,124,161,163,163,160,122,115,176,201,202,201,201,201,202,202,203,205,213,226,222,185,131,126,132,139,175,185,171,179,184,170,158,149,114,129,193,203,203,203,201,201,202,203,203,205,214,226,223,187,136,133,137,160,199,210,207,200,186,166,141,125,109,149,200,204,204,204,202,201,196,197,198,200,211,225,221,186,148,145,145,185,215,219,215,203,183,157,126,104,118,180,205,205,204,203,203,202,149,150,152,156,191,224,221,192,163,154,151,193,222,225,214,197,174,142,112,97,135,186,194,195,196,200,203,204,105,105,105,108,160,220,221,199,172,161,156,192,225,225,203,183,158,126,102,93,115,137,145,159,179,199,207,206,103,102,102,103,145,214,218,197,173,164,160,193,223,214,189,164,138,110,97,98,112,134,160,185,200,205,205,203,103,103,103,104,144,210,209,189,169,162,163,198,214,197,171,143,120,99,109,147,169,188,199,206,210,207,200,197,103,103,104,106,154,208,201,184,170,163,169,194,198,182,153,127,110,98,147,204,210,199,192,193,199,203,199,194,102,102,104,108,164,208,197,183,172,166,172,186,185,171,141,119,108,113,170,201,214,207,190,182,185,188,186,187
22,22,61,81,81,86,89,92,104,119,130,136,139,142,146,149,152,157,157,158,164,163,163,164,163,163,164,163,162,20,66,81,83,86,91,93,105,120,132,138,140,143,147,151,154,157,158,164,146,158,166,166,167,164,165,163,162,23,71,81,84,88,92,93,107,122,133,138,142,144,149,154,157,158,160,178,102,134,174,160,153,169,166,165,164,27,75,83,85,88,92,95,108,123,133,140,143,148,148,156,159,157,168,179,99,141,178,144,106,170,167,167,166,32,77,83,86,90,93,97,110,124,135,138,159,161,103,156,161,158,179,180,97,150,187,133,108,175,169,168,168,38,79,82,87,90,94,97,111,126,139,140,161,149,83,150,164,159,189,174,99,161,194,126,121,180,171,171,169,44,83,84,88,91,94,99,112,128,139,144,154,156,90,140,168,162,185,158,100,173,193,119,141,180,172,173,172,50,84,85,88,92,95,100,115,128,140,147,151,160,99,124,171,165,178,143,96,180,187,106,154,181,173,174,174,55,84,85,89,93,96,101,117,129,141,148,149,162,114,107,169,169,173,131,100,196,164,96,168,180,177,177,177,60,85,86,89,94,95,101,117,132,142,148,147,163,122,86,156,173,158,123,103,203,143,104,181,179,179,180,178,66,86,86,90,93,96,102,119,133,143,150,147,164,152,95,138,169,142,106,119,202,122,116,186,178,182,181,179,71,86,86,89,93,97,103,120,132,143,149,148,164,178,109,107,152,140,125,173,187,106,131,189,180,182,182,182,77,87,87,89,93,96,104,121,134,144,150,163,138,146,96,96,135,160,189,195,162,95,151,189,182,183,183,183,80,87,87,91,93,96,104,121,134,143,156,173,135,122,100,115,141,177,197,186,148,93,169,188,184,185,185,184,82,86,88,91,94,97,106,121,133,144,153,159,175,175,136,87,113,156,178,178,145,91,178,189,186,186,186,186,85,86,87,90,95,97,106,123,135,145,153,170,186,193,133,93,91,120,144,154,130,90,178,191,188,187,187,187,86,87,88,90,94,97,106,124,137,148,150,187,173,152,141,124,97,96,104,108,116,88,168,194,189,190,189,189,87,87,88,90,95,98,107,124,137,148,151,186,170,140,156,149,123,101,95,85,99,86,159,197,190,192,190,190,89,88,87,90,94,97,107,125,137,148,150,190,185,155,145,156,147,136,112,84,85,83,156,199,191,194,193,192,88,87,87,90,93,97,109,125,138,150,150,189,192,163,148,202,159,148,116,90,88,82,158,200,193,194,194,193,87,86,86,89,93,97,109,126,140,151,152,179,205,157,166,224,164,137,112,96,95,85,165,201,194,195,194,193,88,88,87,90,93,97,110,127,139,151,153,169,199,145,177,208,165,134,113,104,95,89,176,200,196,197,196,196,88,88,88,89,93,99,111,127,139,150,154,162,184,151,172,191,170,147,114,102,98,93,177,200,197,197,197,197,89,88,88,91,94,98,112,127,140,150,155,159,173,169,174,183,164,140,114,99,98,93,177,202,199,200,200,200,88,87,88,91,94,98,113,128,141,151,155,158,167,180,165,166,155,120,107,100,96,86,174,205,200,201,201,200,89,86,86,89,94,97,113,128,141,151,155,157,166,177,155,146,150,111,107,103,95,76,162,207,200,201,201,200,88,86,86,88,91,96,111,127,140,150,154,158,167,168,138,144,167,152,130,106,96,75,137,207,197,200,200,199,86,84,85,87,90,95,109,126,139,149,153,158,165,172,172,178,177,164,149,114,91,78,101,198,197,200,200,199
3,72,58,29,49,75,90,100,110,118,124,128,132,135,138,140,143,145,147,149,151,153,155,157,158,160,160,161,161,76,56,30,53,78,92,102,113,120,126,130,134,136,139,141,144,147,147,145,151,155,157,158,159,160,162,162,163,79,53,31,57,81,94,105,115,121,127,132,135,137,140,143,146,150,149,127,143,156,158,160,161,161,163,164,164,79,48,33,61,83,95,106,116,123,128,133,136,138,141,144,148,154,155,119,133,156,159,161,162,163,164,165,165,77,43,36,64,84,97,107,117,124,129,133,137,139,142,146,149,157,156,116,131,157,160,162,164,164,165,166,166,76,39,40,67,86,98,109,119,125,131,135,138,141,144,147,150,160,157,117,134,158,161,163,164,165,166,167,167,73,36,43,70,88,99,111,121,127,133,137,140,144,147,147,147,160,149,114,136,161,164,165,166,167,168,168,168,69,34,48,74,90,101,113,122,128,134,139,142,144,159,155,137,146,133,107,138,163,166,167,167,168,169,169,170,65,33,52,77,92,104,114,123,130,136,151,157,143,149,161,139,124,121,106,143,165,167,168,169,169,171,172,172,58,33,56,79,94,105,116,125,131,140,159,171,157,133,141,144,127,125,110,149,166,168,169,170,171,172,173,173,52,34,60,82,96,107,118,126,139,162,158,142,145,132,123,147,141,127,107,143,166,169,170,172,173,173,174,175,45,36,63,84,98,109,119,127,146,171,159,132,122,131,114,112,122,129,109,123,158,170,172,173,174,175,175,176,38,39,66,86,99,110,120,128,149,155,130,130,123,125,117,90,103,137,135,116,140,170,173,174,175,176,176,176,32,42,69,88,100,111,122,129,153,147,110,108,105,103,107,101,105,136,147,118,137,171,175,175,176,177,177,177,26,45,72,89,101,112,122,131,156,152,125,104,89,96,109,115,113,142,151,119,145,174,176,177,177,178,178,179,23,49,74,90,102,113,122,133,163,158,127,100,90,104,122,127,129,157,155,121,153,175,176,177,178,179,179,180,23,52,76,91,103,113,122,134,163,154,120,98,97,115,135,145,157,170,150,119,156,175,177,178,179,180,180,180,25,55,78,93,104,114,123,134,162,157,127,105,102,121,146,166,178,167,138,116,158,176,178,179,180,180,181,181,29,58,80,94,105,115,124,133,162,164,136,112,107,125,158,182,182,156,121,118,165,178,180,180,180,180,181,182,33,60,81,95,105,116,124,132,160,169,146,120,114,131,169,186,178,149,110,121,170,179,180,180,180,181,181,181,36,63,82,95,105,116,124,132,155,168,151,130,123,137,174,183,170,142,105,128,173,179,180,181,181,181,182,182,40,65,83,95,105,116,124,132,147,162,155,143,134,140,169,174,159,133,104,141,176,179,180,181,181,182,182,182,44,67,84,96,106,116,124,131,142,158,160,151,141,137,156,159,145,121,108,155,178,179,181,181,182,182,182,182,47,69,85,96,106,117,124,131,141,162,165,153,139,130,141,144,135,116,120,167,178,180,181,182,182,183,183,183,50,70,85,96,107,117,125,132,142,169,170,152,136,127,134,134,129,113,140,174,178,180,181,182,183,183,183,183,53,71,86,96,107,117,125,132,146,176,173,155,139,132,138,130,117,113,157,176,179,180,181,182,183,183,183,183,57,73,87,97,107,117,124,132,147,178,179,163,142,140,142,123,103,118,166,177,179,180,182,182,183,184,184,184,59,74,88,98,107,117,124,132,148,179,184,166,143,144,139,116,96,124,170,177,179,180,182,182,183,185,185,185
20,153,155,155,156,156,156,157,156,157,158,157,156,156,157,156,154,154,152,151,150,149,147,145,145,143,142,140,139,157,157,157,159,159,159,159,159,160,160,160,159,159,158,155,157,156,154,154,153,151,150,147,146,145,143,142,141,161,161,162,162,162,163,162,162,163,163,163,163,161,168,163,119,160,162,156,156,154,153,151,150,149,146,144,144,163,164,166,166,165,165,167,167,166,166,166,166,164,170,173,106,124,148,162,157,157,156,155,153,152,149,148,146,167,168,169,169,169,169,170,169,169,170,170,170,169,173,174,102,86,106,151,164,160,158,157,156,154,152,150,148,170,171,172,172,173,173,173,172,172,173,173,173,171,178,170,87,116,124,123,172,163,162,161,160,157,156,154,152,173,174,174,176,176,176,176,176,176,176,177,177,174,183,171,88,137,142,102,173,167,166,163,163,160,158,157,156,177,178,178,179,179,180,179,179,180,180,180,180,175,192,175,96,139,153,100,170,171,169,167,166,164,161,160,158,181,181,181,181,182,182,182,182,183,183,184,182,178,199,160,89,148,170,103,164,176,171,170,170,168,164,162,162,183,183,183,183,184,185,184,184,185,186,186,184,184,208,148,93,167,168,100,160,181,174,173,172,171,168,166,164,186,186,186,187,188,187,187,188,187,188,188,173,159,186,158,105,173,168,95,156,184,175,176,174,172,171,169,168,189,189,189,190,190,190,190,190,190,190,190,198,184,157,139,104,149,173,109,153,186,178,178,177,175,173,171,169,190,191,191,192,193,193,193,192,192,192,192,178,195,175,151,126,132,170,114,147,189,179,180,178,177,175,173,172,192,193,194,194,195,194,195,195,195,194,197,167,130,162,182,126,90,126,103,139,193,182,183,181,180,177,175,173,194,195,196,195,196,195,196,196,196,196,199,185,80,133,180,135,88,81,81,129,196,182,184,183,181,179,176,175,196,196,197,196,197,196,197,197,197,197,200,178,96,110,168,162,116,103,73,112,198,186,186,184,183,182,178,176,197,197,198,198,197,198,199,198,199,195,192,173,139,101,94,149,144,126,80,92,198,187,187,186,184,182,181,178,198,199,199,199,200,200,200,201,199,196,190,179,164,129,87,115,141,128,89,79,192,192,190,189,185,184,182,179,200,201,201,201,201,201,201,202,196,187,148,142,171,150,108,96,126,156,121,73,172,200,190,190,189,187,183,181,202,202,202,202,202,202,204,203,193,189,161,95,113,154,95,78,103,158,149,86,116,204,191,191,190,188,185,184,203,203,203,204,204,205,205,205,195,183,154,115,77,119,95,75,122,176,171,113,77,189,197,193,190,189,188,185,204,205,205,206,206,206,205,207,195,186,178,139,87,108,113,96,177,193,163,108,80,191,198,194,193,190,189,186,206,207,207,207,208,207,207,209,194,189,191,138,107,112,157,178,202,172,149,82,100,204,195,196,194,191,188,187,208,208,208,209,209,208,208,211,196,186,185,152,118,109,188,211,190,153,134,72,133,209,194,196,195,192,189,189,208,208,209,210,209,209,209,212,198,175,172,155,121,109,179,191,171,139,115,72,166,207,196,196,196,194,190,189,207,207,208,208,208,209,209,212,203,173,170,154,130,116,173,187,160,127,95,77,194,201,197,196,195,193,194,198,208,209,209,209,209,210,210,210,211,181,167,157,143,117,165,181,146,111,68,120,211,198,197,196,195,198,187,142,210,210,210,210,210,210,211,212,213,190,174,159,141,113,138,153,117,87,61,178,207,199,199,196,189,149,97,55
18,58,61,63,66,70,76,79,85,90,97,102,106,110,112,114,116,119,122,123,125,128,130,132,134,135,136,136,139,57,61,64,67,72,77,79,84,91,97,103,107,112,113,114,116,120,123,124,127,128,130,132,133,135,136,138,140,58,61,64,67,71,77,80,85,92,98,103,108,112,113,115,117,121,124,125,128,130,132,133,135,136,137,140,141,59,62,65,68,71,77,80,86,94,99,104,109,113,115,116,118,120,124,127,130,131,134,136,136,136,137,140,142,59,62,65,69,73,78,81,86,94,101,106,110,113,115,119,118,127,124,113,126,134,131,129,140,141,139,141,142,59,62,65,68,74,79,81,87,94,102,109,108,115,121,111,121,158,115,88,81,137,140,104,95,141,142,142,143,60,62,65,67,74,78,83,90,96,103,108,105,161,130,87,127,148,118,114,117,158,139,103,71,83,144,143,144,60,63,66,68,75,80,82,91,93,106,101,136,182,130,96,141,144,123,132,139,138,114,108,99,58,113,151,144,62,64,66,68,75,81,85,86,109,150,103,110,167,129,121,117,127,116,122,125,108,100,116,109,83,79,154,146,62,65,67,70,76,80,86,80,165,166,124,88,134,151,124,94,95,110,91,97,76,116,122,114,105,66,116,159,63,65,67,70,77,81,79,98,183,164,144,117,97,160,126,96,78,137,90,54,69,143,126,128,119,90,67,137,62,64,67,70,76,83,73,124,154,156,160,135,79,118,137,101,63,125,121,76,36,114,130,141,131,101,75,74,63,65,67,72,77,84,74,135,123,118,148,114,75,73,116,87,57,80,95,59,48,114,148,156,134,105,87,67,64,65,67,72,76,83,73,153,149,113,125,75,65,49,74,69,43,47,45,80,155,159,142,141,126,105,91,78,63,65,67,71,78,81,76,165,152,126,129,69,60,38,64,67,34,17,90,170,165,149,142,123,108,95,88,71,63,65,68,71,78,78,94,178,148,121,111,77,56,29,61,59,29,76,173,176,167,149,130,112,90,82,76,77,63,65,67,71,77,78,89,193,166,143,130,105,76,65,66,62,87,163,179,176,165,138,121,102,81,76,65,109,64,65,68,73,77,79,87,191,176,157,143,120,103,107,99,106,156,178,177,171,150,126,110,94,78,70,68,143,63,65,68,73,78,81,85,190,184,163,143,123,113,118,116,139,171,172,170,156,134,117,100,86,77,63,91,161,63,66,68,72,78,83,83,186,183,164,145,132,129,125,130,154,167,171,158,138,127,108,93,85,79,59,125,161,64,66,68,73,78,84,81,169,184,167,152,144,139,136,143,155,158,160,139,122,114,99,86,79,71,74,155,157,64,66,68,75,80,85,81,144,186,171,168,155,142,136,140,144,143,140,126,112,102,90,80,78,62,115,162,154,64,66,69,76,81,84,85,118,184,176,180,165,147,133,122,123,126,122,119,102,90,82,77,68,71,152,156,156,64,66,70,76,79,84,92,94,170,176,170,164,147,128,115,111,116,114,112,97,82,80,78,56,108,161,154,157,64,66,70,75,80,83,95,92,135,174,150,147,140,124,111,108,112,115,114,100,85,81,71,59,143,157,156,159,64,66,70,75,80,82,92,98,107,163,150,133,123,109,108,114,100,106,110,98,83,79,61,78,158,153,156,159,63,66,70,76,79,84,94,104,101,144,137,119,123,113,124,128,102,98,109,99,82,78,55,95,163,153,156,158,62,65,70,75,77,84,93,102,102,129,146,127,134,123,120,123,105,90,103,98,83,74,52,87,163,155,158,159
2,198,202,205,206,207,208,209,210,210,209,209,209,207,207,208,207,207,207,208,205,200,198,197,196,195,193,191,189,202,203,206,207,207,209,211,212,211,212,212,212,214,214,212,210,208,202,192,200,210,202,199,197,195,193,193,191,203,204,207,208,209,210,211,213,212,213,213,199,174,175,183,181,168,161,143,120,159,199,206,202,197,196,194,192,204,207,210,211,211,211,213,213,213,214,214,191,164,162,167,169,161,147,137,109,90,129,159,181,202,197,197,194,205,208,210,211,213,213,215,215,215,218,202,178,182,181,180,176,163,136,114,119,124,119,124,134,203,197,197,194,205,208,210,212,214,215,216,215,217,213,181,172,187,188,177,167,162,137,126,134,150,147,111,123,204,199,197,196,206,209,211,213,214,214,216,216,218,209,190,182,175,160,147,171,182,113,94,115,125,118,108,174,207,200,198,197,208,210,213,214,215,216,217,217,219,210,184,184,176,160,150,147,119,134,191,164,142,150,201,210,201,201,199,198,209,212,212,214,216,218,219,219,217,207,204,191,168,146,119,114,136,205,222,220,218,215,208,208,210,209,205,198,210,212,212,215,218,219,219,218,198,197,193,171,136,76,140,216,222,219,213,212,212,209,213,195,155,138,181,204,210,212,215,216,217,218,221,215,190,186,169,138,87,46,147,234,216,219,218,215,212,215,195,129,96,89,122,206,210,213,215,217,218,220,219,207,181,168,134,86,67,64,136,231,217,220,218,214,218,199,139,106,100,93,117,209,211,215,215,217,220,221,214,206,190,159,96,62,75,67,151,231,217,220,216,219,205,141,112,111,101,82,164,210,212,214,217,217,219,220,214,209,189,158,100,65,78,67,134,239,218,218,220,221,149,95,97,103,87,114,211,202,212,214,218,219,220,220,217,208,185,152,92,69,79,72,70,178,226,228,220,169,113,81,84,88,85,191,210,203,213,215,217,220,221,220,213,206,185,140,88,84,79,73,74,74,123,183,143,106,100,101,84,83,177,215,205,205,213,215,218,220,222,220,213,208,183,138,104,93,77,76,81,85,82,89,84,85,97,95,89,185,219,210,207,205,213,215,219,220,223,220,212,204,183,149,110,90,76,77,78,85,92,96,89,91,99,85,181,221,210,211,209,205,212,215,219,220,222,220,206,197,183,146,115,96,75,76,78,85,91,97,96,89,75,151,228,211,212,211,208,205,212,215,219,220,222,220,202,194,178,145,124,95,72,76,81,85,91,99,104,84,99,215,217,213,211,211,208,206,213,215,219,220,223,218,203,194,173,149,122,94,75,75,82,87,93,98,100,79,186,226,215,215,213,211,210,208,213,216,219,221,223,217,198,201,186,149,120,101,76,74,83,90,95,101,86,102,225,219,219,216,214,212,211,208,213,215,218,220,225,212,197,210,191,147,119,101,78,72,86,92,97,100,69,168,229,217,217,216,214,211,209,207,211,213,216,218,221,208,201,210,183,143,118,104,82,69,87,94,96,76,105,225,218,217,216,213,212,210,208,207,210,212,214,217,220,204,202,202,175,137,116,105,85,71,85,93,83,75,197,225,216,216,215,213,212,209,207,206,210,212,214,216,220,203,199,194,165,135,119,105,86,72,84,85,66,172,228,216,217,215,213,212,211,209,206,204,210,211,213,216,218,200,195,180,153,131,115,100,83,74,75,75,165,230,217,219,217,215,213,213,211,208,207,205,207,210,213,215,215,199,185,172,148,125,112,97,85,71,83,191,228,218,219,218,215,213,211,209,208,207,205,203
3,57,0,18,48,67,77,87,98,106,111,117,120,123,126,128,131,133,135,138,139,124,143,146,148,151,152,151,152,49,0,24,50,69,78,88,99,107,112,117,121,124,126,128,132,135,137,140,153,88,120,152,149,150,151,152,155,37,0,29,52,71,80,90,102,108,114,118,122,125,127,130,133,137,137,144,165,91,102,157,149,150,152,154,155,25,0,34,55,72,82,92,104,109,115,121,125,126,129,132,134,138,137,149,162,83,106,156,148,151,153,154,156,15,0,37,58,73,83,94,105,109,116,121,125,127,131,133,134,142,140,155,161,82,116,157,151,154,155,156,158,3,0,41,61,74,84,97,106,112,118,123,125,129,134,138,138,127,131,165,145,80,115,158,153,156,157,158,160,0,8,44,64,77,86,97,109,114,119,124,126,128,117,151,177,136,97,150,121,75,117,162,155,157,158,159,160,0,15,47,66,77,88,99,109,114,121,119,154,178,133,107,148,158,87,117,118,63,133,162,157,159,159,160,162,0,21,50,68,78,90,101,111,115,119,127,146,163,173,118,94,155,121,132,107,67,150,159,159,160,161,162,163,0,27,51,71,81,92,104,111,111,141,188,152,89,118,140,73,140,142,134,98,64,153,159,159,161,163,164,164,0,32,54,72,83,93,105,113,112,153,164,152,126,86,134,113,58,59,133,115,78,107,165,160,163,164,165,166,0,35,57,73,83,93,105,113,113,160,139,89,132,118,100,136,59,48,119,152,134,72,139,167,163,165,166,168,1,37,60,75,84,94,107,113,116,169,126,60,72,73,78,81,81,84,91,151,138,75,137,169,163,165,167,168,5,41,61,75,86,95,108,110,121,165,125,113,93,62,79,80,102,96,102,158,133,74,153,167,165,167,168,168,9,45,63,75,87,96,109,109,132,174,147,116,84,67,86,105,122,99,120,179,130,81,166,166,168,169,170,171,16,47,65,77,88,98,108,108,135,176,130,94,72,76,94,122,127,123,153,177,116,89,171,165,167,168,172,172,22,49,66,78,89,99,109,109,137,172,128,99,80,84,102,131,136,166,172,167,105,89,172,166,169,169,171,172,27,51,68,78,89,100,110,109,136,178,142,108,89,85,105,135,162,188,164,141,99,93,175,166,170,172,171,173,30,52,70,80,90,101,110,110,135,179,147,120,94,94,107,150,186,184,161,120,77,113,177,167,171,172,173,173,34,52,71,81,90,101,109,112,132,181,158,129,100,100,113,168,184,175,158,114,60,126,175,167,171,172,173,173,36,55,71,81,91,101,109,114,126,172,156,130,117,107,120,177,183,167,149,106,56,143,173,167,171,174,173,173,40,57,71,81,91,102,109,115,121,156,157,139,134,119,125,171,176,158,141,94,61,160,170,170,171,173,173,174,42,58,72,81,91,103,108,115,119,142,162,150,142,132,120,156,161,142,126,83,80,173,169,170,172,173,173,174,42,60,73,82,92,105,110,115,119,139,166,155,145,128,116,137,145,130,126,67,111,178,168,171,171,173,175,175,43,61,73,82,92,104,110,116,118,144,178,155,140,118,112,127,128,126,121,69,148,173,169,172,172,173,176,176,45,62,73,82,93,105,110,116,118,151,184,151,140,120,116,130,121,127,93,89,173,166,170,171,173,174,175,175,45,63,74,84,94,104,109,117,117,164,183,162,148,124,130,139,120,115,72,124,174,166,170,172,173,174,175,175,46,64,73,83,94,104,109,118,118,170,185,178,143,125,139,138,115,92,66,147,170,168,171,171,173,174,175,175
16,155,156,157,160,165,168,171,174,177,179,180,182,185,186,187,188,189,191,193,192,192,193,192,192,192,191,191,192,156,157,158,160,165,169,172,174,177,179,180,183,185,187,188,189,190,190,192,193,193,194,193,193,194,193,193,192,155,157,158,160,165,170,173,175,178,179,181,184,184,182,175,169,163,159,160,164,172,184,192,193,194,194,193,193,157,158,158,162,166,170,173,176,179,177,175,170,160,152,141,131,122,119,117,109,102,106,140,173,192,193,195,195,157,157,158,162,167,170,174,172,179,156,153,144,140,140,134,125,117,107,103,104,94,80,80,89,137,190,196,195,156,157,159,164,167,172,187,186,192,164,152,139,131,135,129,122,116,110,100,100,99,84,79,78,80,139,195,196,157,158,160,164,167,177,198,198,194,171,154,134,123,125,124,122,114,113,103,98,95,86,84,80,83,84,169,197,156,158,160,164,168,173,191,201,195,168,149,122,114,114,114,118,114,110,108,101,96,89,85,81,83,81,108,198,157,158,160,164,167,179,191,206,193,164,134,111,97,104,106,112,113,109,113,108,94,91,92,84,77,84,75,168,157,159,161,164,167,180,193,206,187,154,115,96,79,91,105,116,121,117,119,115,97,91,96,81,80,85,79,105,157,159,161,165,169,176,195,204,178,136,102,89,67,53,102,119,134,134,134,122,101,94,99,81,82,87,85,68,158,159,161,165,169,171,197,198,165,123,93,78,50,29,81,113,134,155,153,133,103,96,100,83,82,87,89,79,158,159,160,164,169,171,192,189,149,115,87,72,64,47,70,96,138,164,155,134,103,97,92,83,83,85,89,88,157,158,161,165,169,171,184,173,133,107,77,79,76,73,79,77,153,159,142,128,106,96,86,84,84,86,88,91,155,157,159,163,166,170,177,162,118,90,68,82,82,81,79,91,163,147,136,122,104,86,85,85,84,88,89,91,154,157,159,163,167,173,185,154,102,93,64,80,84,102,135,156,159,135,130,112,88,80,84,87,86,88,88,89,156,157,160,164,168,174,185,147,100,115,102,125,160,184,184,166,139,129,118,97,77,79,84,88,89,89,88,87,156,157,160,164,168,174,191,143,92,162,181,186,190,192,181,159,123,112,104,97,81,81,84,87,92,91,90,89,155,157,160,165,168,175,185,134,95,178,187,189,191,192,180,146,114,94,116,112,89,85,85,88,92,91,92,91,154,156,160,164,167,174,178,117,109,184,188,188,190,192,183,144,105,98,155,134,105,93,88,89,90,91,92,93,154,157,160,163,167,175,168,102,129,184,187,188,190,192,185,149,92,127,184,150,120,102,93,89,90,92,93,95,151,154,158,163,166,182,159,93,153,182,186,187,190,192,183,158,98,150,196,158,135,114,100,93,92,91,92,94,149,152,156,157,156,190,136,95,162,172,176,178,178,179,173,154,114,135,187,158,147,125,111,99,95,94,94,96,112,112,114,115,114,139,106,94,114,117,118,121,122,122,123,121,109,108,122,120,150,135,121,110,104,98,96,97,104,104,105,107,105,106,103,102,105,106,106,106,107,105,106,106,103,102,101,101,138,143,131,118,110,105,100,98,106,107,107,107,108,108,107,107,108,110,111,109,108,109,109,108,109,107,107,104,125,152,139,126,117,111,106,103,107,107,107,108,109,108,106,108,109,109,109,109,108,109,108,108,112,115,115,112,115,155,147,133,123,118,112,108,108,108,107,108,108,108,107,109,108,108,108,108,107,109,108,107,109,108,109,109,108,154,154,143,134,126,115,109
21,165,167,169,171,172,173,174,175,176,175,176,176,175,175,174,173,172,171,171,171,168,168,167,166,165,164,162,162,166,168,170,172,173,174,176,176,177,177,178,177,177,176,176,174,176,173,172,172,171,170,168,168,167,166,164,163,167,169,172,173,174,176,178,178,179,179,178,179,178,178,177,175,159,173,175,173,173,171,169,169,169,167,167,164,168,171,172,173,175,177,179,179,180,180,180,180,179,179,180,185,121,151,180,174,175,173,170,171,170,169,169,168,168,172,174,174,176,178,180,181,181,181,181,181,181,178,184,178,117,157,181,174,175,176,174,173,172,170,170,169,170,173,175,175,177,180,180,181,181,182,182,182,183,178,191,172,120,169,181,176,175,163,170,175,173,173,170,169,171,173,175,177,179,179,181,183,183,183,185,184,184,180,196,168,124,176,180,179,166,125,142,181,172,173,172,171,172,175,177,179,180,181,183,184,185,185,185,185,184,185,198,160,129,182,181,175,160,120,152,180,173,174,173,172,173,175,178,179,181,183,184,185,186,185,187,185,183,188,194,152,128,184,181,172,152,121,174,178,176,176,174,173,173,176,179,180,182,184,185,185,186,186,186,188,187,194,190,139,131,188,176,170,139,139,184,177,177,176,175,174,175,177,179,181,183,185,186,186,187,188,187,162,161,206,186,128,151,187,165,162,121,162,184,179,178,177,176,175,175,178,180,181,184,185,186,188,189,188,194,164,123,151,152,115,165,180,168,141,126,184,181,181,180,178,177,176,175,179,181,183,185,186,187,189,188,192,193,190,165,134,110,110,173,173,165,120,157,188,182,181,180,180,178,176,177,180,182,184,185,187,188,189,192,201,192,206,195,148,111,111,136,145,137,124,184,184,184,183,181,181,179,177,178,180,183,185,186,188,190,190,201,166,182,182,182,144,114,109,113,120,110,154,191,184,184,183,183,181,179,178,179,181,184,186,188,189,188,198,194,151,160,134,174,161,123,108,107,110,119,185,188,185,184,184,184,183,180,179,179,182,185,186,189,191,189,202,190,161,130,101,160,177,133,111,106,103,148,195,187,187,186,186,185,184,182,181,180,183,186,187,190,190,193,204,169,144,134,111,166,186,147,122,109,103,171,194,187,187,187,187,185,183,182,181,181,185,186,188,190,190,200,203,172,164,140,157,210,180,159,136,112,104,174,195,189,189,188,187,186,185,184,182,181,184,186,189,192,189,204,204,184,154,149,209,201,167,156,137,117,114,180,195,191,190,188,188,187,186,185,184,182,184,186,189,192,191,210,216,179,153,180,220,186,160,143,136,119,122,189,193,191,191,190,190,189,187,185,184,183,185,187,190,191,191,214,202,171,166,188,216,185,168,136,126,117,136,197,192,191,191,190,190,188,187,185,185,183,185,188,190,193,193,209,190,192,166,192,211,179,162,139,122,115,156,200,193,193,192,191,190,189,188,186,185,181,184,186,188,192,194,200,204,204,166,202,196,168,148,132,124,117,176,198,193,192,192,191,191,190,188,187,185,180,183,186,189,191,192,197,205,194,161,188,183,156,135,125,119,126,190,196,193,191,190,190,190,189,187,186,184,181,184,186,189,192,193,199,195,180,162,173,175,154,139,127,113,142,199,194,194,193,191,192,190,189,187,186,185,181,184,187,190,192,194,198,192,178,178,178,174,171,139,125,109,157,200,194,195,192,192,192,191,190,188,187,185,181,184,187,189,192,194,195,195,198,196,183,168,168,138,118,108,171,200,195,195,193,192,191,191,189,189,187,186
15,92,88,87,86,88,90,90,91,94,102,114,125,132,141,147,151,151,155,159,164,169,172,175,178,180,182,185,186,91,87,87,87,87,89,91,91,94,104,114,126,133,141,148,152,152,155,160,165,169,172,177,179,180,183,186,188,91,88,87,86,86,89,93,92,95,104,116,126,134,142,148,152,153,156,161,165,170,173,178,180,182,185,187,189,91,88,87,86,89,89,88,90,94,106,117,126,135,143,148,152,154,157,161,166,170,175,179,181,184,186,187,190,91,89,88,88,86,91,119,102,98,105,117,127,135,143,151,154,155,156,161,166,172,176,179,182,185,186,188,191,91,89,89,89,77,164,168,133,128,124,120,121,134,142,144,145,152,159,166,169,173,175,179,182,185,187,189,192,92,90,89,88,80,159,146,122,123,123,110,122,125,128,124,119,123,129,142,158,172,180,185,185,185,187,190,193,92,90,89,89,84,100,112,95,101,94,90,119,111,111,107,118,130,121,120,124,136,145,158,175,192,188,191,193,93,89,88,87,89,88,88,88,91,87,89,97,92,91,91,122,127,123,125,128,131,124,109,107,141,197,191,194,92,90,88,86,88,91,91,91,97,108,118,118,118,116,106,113,111,109,102,121,142,135,119,116,86,140,203,192,93,91,87,87,87,88,89,90,96,109,119,133,140,147,151,139,110,95,119,144,147,144,117,126,119,76,161,206,93,90,86,87,88,88,89,89,96,109,121,129,137,156,157,140,124,128,183,143,153,128,135,145,126,106,86,182,92,88,87,86,87,88,89,89,97,110,119,133,180,166,132,115,112,109,174,124,113,136,172,132,150,135,90,93,91,88,85,85,85,87,87,87,96,111,111,163,198,130,108,113,116,88,116,96,86,193,146,127,163,146,111,76,90,87,85,85,85,85,87,87,94,110,111,158,174,111,111,131,136,129,107,83,103,173,101,117,165,155,121,88,90,87,85,84,84,85,85,86,97,111,112,148,156,93,123,139,146,139,110,99,107,112,108,129,148,141,116,88,88,86,84,83,83,84,85,86,97,110,111,153,197,117,114,141,151,137,100,94,106,108,122,130,120,101,95,85,87,87,84,83,83,85,85,85,95,110,112,155,171,188,148,116,113,102,90,98,104,106,113,123,116,85,79,80,88,86,83,83,81,83,85,85,93,110,109,193,175,163,180,134,96,62,66,93,107,111,120,132,117,85,80,79,88,85,82,83,82,83,84,85,94,108,116,150,167,180,169,156,134,81,35,45,69,118,119,122,101,82,82,83,79,76,74,74,74,75,76,78,87,101,114,122,133,154,147,149,128,116,65,46,58,114,132,111,94,90,93,93,125,120,117,114,111,106,105,106,112,119,125,133,140,143,128,118,133,159,109,52,74,86,129,139,124,114,105,99,129,125,124,123,121,122,125,126,121,119,117,115,119,123,125,123,124,185,127,76,92,77,91,113,114,105,95,89,114,113,113,111,111,112,114,112,112,113,108,104,108,111,112,115,105,129,111,114,119,112,109,98,88,88,85,81,118,119,120,118,118,118,120,120,118,119,120,118,120,121,121,121,123,119,121,121,124,124,132,132,107,90,84,80,119,121,123,121,120,119,120,120,120,121,121,121,121,121,119,121,122,122,122,123,120,119,132,144,128,109,92,99,120,122,123,122,122,119,121,123,122,123,122,122,123,122,120,121,122,122,122,122,121,120,116,130,170,119,122,130,120,121,121,120,120,120,121,121,121,121,121,121,122,121,121,122,124,123,122,122,121,121,120,119,205,193,168,159
5,149,151,154,155,156,157,158,158,159,160,160,159,160,160,161,160,164,162,160,161,159,159,159,158,157,156,157,155,152,155,157,157,158,160,161,161,161,162,163,163,164,164,163,164,141,160,163,162,163,162,161,160,159,158,158,157,156,158,160,161,161,163,164,164,164,165,166,166,164,166,166,177,122,143,171,165,166,165,164,163,163,162,161,160,159,161,163,164,164,165,167,167,167,168,168,168,169,142,152,186,128,125,177,167,168,167,167,166,165,165,163,162,162,163,166,167,168,169,169,170,170,171,171,170,180,139,126,192,126,113,181,170,171,170,169,168,167,167,167,165,164,166,170,170,170,172,173,173,174,173,174,172,185,149,117,187,126,116,183,172,173,172,172,171,170,169,169,168,166,168,172,172,173,175,175,175,171,174,178,175,188,153,109,185,137,121,184,176,176,176,175,174,173,172,172,170,169,170,173,175,175,177,177,181,153,145,184,176,189,162,112,181,129,125,186,178,179,178,181,179,174,174,174,172,171,172,175,177,178,179,177,183,161,120,183,178,191,165,102,176,124,127,189,180,180,178,151,166,181,175,175,175,173,175,178,179,180,180,179,186,178,106,178,182,190,163,95,175,142,127,191,178,183,183,149,129,181,180,178,177,174,176,179,181,181,181,182,186,177,108,177,185,185,176,104,156,153,129,190,176,169,154,176,155,152,181,180,179,177,178,181,183,183,184,184,185,190,117,161,190,181,182,109,125,155,137,188,179,163,87,149,171,129,171,185,181,178,180,184,184,185,185,185,186,194,143,138,192,182,185,112,120,153,136,179,175,153,124,177,154,132,187,183,183,178,181,184,185,186,186,188,187,183,186,155,163,181,173,130,139,142,124,156,164,134,168,190,126,161,191,183,184,180,183,185,188,188,189,188,190,179,191,181,152,155,155,135,135,134,126,158,164,136,182,174,107,176,189,186,185,183,185,186,188,189,190,190,191,187,188,199,170,149,148,128,133,130,129,153,161,148,195,154,96,186,189,188,187,184,186,188,188,190,191,192,192,192,189,209,188,140,136,122,117,125,132,151,157,148,198,150,110,196,189,189,189,185,187,189,190,191,192,192,193,194,192,211,195,144,115,116,111,122,143,159,147,141,194,151,122,199,189,190,190,187,189,190,191,192,192,194,194,195,192,207,193,150,116,115,112,135,153,168,178,152,183,151,127,200,191,191,190,187,190,190,191,193,195,195,195,197,192,204,188,150,118,110,119,146,159,183,192,163,162,134,123,200,193,192,191,189,190,191,192,194,195,196,196,197,191,204,189,156,119,110,125,157,178,183,185,173,139,103,112,201,193,194,194,189,190,191,194,195,196,197,196,199,192,202,189,160,121,111,124,164,189,187,179,155,117,78,134,204,193,195,195,189,191,194,195,196,196,197,198,201,195,195,188,160,123,117,118,172,196,185,163,137,97,96,193,199,196,196,195,190,191,195,196,196,196,198,199,201,192,183,186,159,127,124,117,170,186,168,146,121,84,166,208,197,197,196,196,191,191,194,195,196,196,199,199,202,194,178,180,153,137,128,119,159,171,157,138,94,116,207,199,201,199,197,197,190,192,194,195,195,196,197,198,200,195,176,172,148,141,123,117,151,160,149,111,83,183,205,200,201,200,199,198,189,191,194,195,195,195,196,198,200,194,179,174,152,140,125,108,139,138,118,82,156,208,198,200,200,200,198,198,190,191,194,195,195,196,197,200,203,192,184,174,143,133,127,105,124,113,82,131,209,199,201,200,200,200,198,197
7,180,179,180,180,180,179,179,179,178,178,177,176,175,175,173,173,172,171,170,168,167,166,164,163,162,159,158,157,181,180,181,181,180,181,180,181,180,180,179,179,178,177,176,175,174,174,172,170,169,168,167,165,164,162,159,158,181,182,181,182,183,182,182,182,182,182,181,180,180,179,178,176,175,175,174,172,170,169,169,167,164,164,162,160,182,183,183,183,185,184,184,184,183,183,182,182,181,180,178,177,178,176,176,177,175,173,172,168,167,166,163,162,185,185,185,185,185,185,186,186,185,184,182,182,182,183,183,183,180,175,170,162,162,159,167,172,169,168,165,164,186,186,185,185,186,185,185,186,185,186,187,187,183,173,165,152,149,147,129,124,163,157,139,172,170,170,167,165,187,187,187,187,187,188,190,191,188,181,170,158,146,137,118,128,129,119,118,118,138,127,135,181,173,170,169,166,187,188,188,189,189,182,171,158,152,143,135,129,131,124,111,112,107,97,103,89,82,109,134,134,163,173,170,168,188,188,190,183,159,138,130,131,134,137,136,130,122,103,106,101,99,103,103,100,99,91,83,101,115,172,171,169,189,192,181,159,150,127,117,126,118,113,110,109,111,118,129,123,96,106,113,95,92,80,75,93,95,168,174,171,190,175,160,160,151,124,109,101,98,107,119,133,139,135,126,112,82,86,86,68,69,71,77,95,139,177,173,172,166,154,159,157,148,141,133,135,136,141,144,133,128,119,110,87,69,75,97,120,142,158,172,181,181,176,175,173,152,155,158,153,151,148,135,126,119,120,117,103,99,96,93,103,131,164,186,191,190,186,182,180,178,176,175,173,155,160,156,155,156,141,109,83,91,90,78,68,60,93,180,194,195,193,186,184,183,182,181,181,180,177,174,173,161,160,158,153,137,123,85,68,74,61,55,54,55,49,98,193,187,188,188,187,186,184,182,181,180,178,174,172,159,160,154,134,127,116,91,84,66,56,57,55,57,45,89,189,190,187,187,186,185,182,181,180,179,176,177,180,161,159,144,132,125,122,127,124,82,58,61,62,50,95,188,189,189,187,186,185,184,181,179,177,177,181,167,133,162,153,133,123,118,122,131,115,70,57,54,41,78,193,193,190,190,188,187,186,184,182,183,186,177,150,86,57,153,131,111,111,109,109,110,83,60,51,50,50,71,197,189,191,187,186,186,185,189,186,165,131,92,63,58,53,131,117,115,118,112,101,92,80,73,58,60,45,112,196,188,191,196,194,193,192,146,99,75,59,55,56,58,50,121,123,122,118,101,79,81,96,87,60,50,114,202,197,197,187,150,139,138,108,70,64,55,56,56,57,58,47,123,116,102,85,75,78,91,99,73,54,82,143,145,134,123,87,57,58,51,56,54,61,59,41,49,56,58,47,108,90,84,84,85,85,81,66,61,90,100,86,76,73,73,54,42,59,46,56,49,47,53,36,41,51,57,43,99,95,97,92,81,72,67,71,102,116,97,81,73,67,59,60,36,48,45,43,45,45,45,32,37,48,54,37,88,86,83,77,70,72,91,108,108,92,77,65,60,54,52,50,42,33,46,37,41,42,39,32,37,47,51,34,68,74,80,84,93,104,108,106,97,64,56,59,56,47,50,46,44,27,38,35,36,42,36,32,40,45,50,31,103,108,110,115,109,105,104,97,69,56,44,50,54,43,44,40,41,27,29,36,34,42,34,32,40,43,47,29,108,109,107,110,105,104,98,79,48,48,45,41,51,37,39,34,38,31,25,35,35,42,31,35,40,45,46,26
18,191,194,196,196,197,198,200,202,202,202,204,205,206,206,207,209,209,209,210,211,211,211,212,211,210,210,211,210,192,194,197,197,198,199,201,202,203,204,205,206,206,207,208,210,211,210,209,211,212,212,213,213,212,212,211,211,193,195,197,198,200,201,201,203,203,204,205,206,206,207,208,212,214,210,210,211,210,211,214,214,214,212,211,211,194,195,199,199,200,202,201,204,205,205,206,206,208,208,210,200,196,215,210,213,213,212,214,214,213,214,213,213,194,196,200,199,200,201,202,203,205,207,208,209,212,209,219,198,156,186,217,212,213,215,213,212,213,214,214,214,194,196,199,200,200,201,203,204,204,207,209,202,190,208,213,208,160,123,195,215,196,187,209,215,214,215,213,214,194,195,198,200,201,201,205,206,206,209,221,204,169,171,217,194,173,134,146,181,174,160,162,221,214,215,214,214,194,196,199,200,200,202,203,203,197,222,222,204,175,156,231,208,196,167,135,140,162,158,126,204,218,215,215,214,195,197,199,201,201,200,215,206,167,203,225,199,172,171,229,228,213,174,140,127,148,149,119,179,225,215,216,215,196,198,200,202,199,213,232,206,164,190,226,198,164,187,221,223,210,175,136,117,132,141,115,180,225,215,216,216,197,198,199,201,199,220,234,207,165,180,226,202,155,199,221,221,207,172,135,109,121,130,115,195,223,215,217,217,198,200,200,201,202,212,226,210,168,170,225,200,144,170,208,228,204,167,131,109,114,117,127,210,220,215,218,216,198,200,202,199,208,223,209,207,176,155,207,189,143,110,182,234,197,162,126,112,109,109,149,224,216,218,218,219,197,199,201,203,214,207,189,182,170,127,163,162,133,76,196,236,195,156,123,112,113,112,163,227,215,218,218,220,199,199,199,212,224,194,183,158,142,117,138,151,106,118,236,223,191,158,127,107,114,112,175,227,217,220,219,220,199,201,199,213,232,205,186,164,161,118,139,152,167,223,236,215,186,158,129,116,118,120,206,222,219,220,220,220,200,202,197,223,229,203,186,169,162,145,150,196,246,224,211,207,181,150,126,119,109,141,226,217,220,219,219,219,201,200,200,236,222,203,186,172,169,171,188,246,241,217,194,194,172,140,123,121,117,195,223,218,218,219,218,217,201,199,209,240,218,203,195,179,177,173,229,248,234,210,182,182,163,130,126,117,180,225,218,220,219,219,218,217,202,198,216,239,217,210,203,180,182,210,246,240,223,203,176,170,154,128,116,156,226,218,220,220,220,220,219,219,202,199,218,240,220,215,207,182,199,234,236,231,218,191,169,161,144,121,126,214,221,219,219,220,220,220,220,220,202,200,213,237,223,217,206,190,210,234,227,215,213,181,163,152,136,112,177,226,219,220,220,220,220,220,221,220,203,201,211,237,224,216,204,201,210,230,215,209,193,178,153,145,125,131,221,219,220,220,221,221,222,220,219,220,203,199,215,234,218,210,201,205,208,221,204,206,180,172,145,137,112,170,230,219,221,221,221,222,222,221,219,219,202,198,221,221,206,204,199,204,212,211,194,204,190,158,141,131,116,205,223,219,220,221,221,222,222,222,220,220,203,199,222,205,198,202,200,202,212,205,194,204,188,153,136,117,151,228,217,221,221,221,221,222,222,221,220,221,202,200,230,216,207,208,210,209,216,199,191,195,174,147,128,125,210,222,221,222,222,221,222,222,222,221,220,221,200,202,238,224,208,212,217,213,219,185,183,183,160,141,117,183,228,220,221,221,222,223,222,222,223,222,221,221
15,89,99,106,113,117,118,121,127,131,134,138,142,145,148,150,153,155,157,159,160,161,162,163,165,165,165,167,166,91,100,107,113,119,120,123,128,133,136,139,143,145,148,152,155,157,160,161,161,162,164,164,165,166,166,168,168,92,101,109,116,121,123,124,130,135,138,141,144,147,150,153,156,158,160,161,162,163,165,165,165,166,167,168,170,93,103,109,116,120,122,125,131,136,139,143,146,149,152,155,157,159,162,163,164,165,166,168,167,168,170,169,170,95,104,112,118,121,122,126,133,137,140,144,148,149,153,155,158,161,163,165,165,167,168,169,169,171,172,171,172,95,105,113,119,123,124,128,134,139,143,146,148,151,154,157,160,161,164,165,166,167,169,170,171,172,172,173,174,96,106,114,120,121,126,129,135,140,144,147,150,153,157,158,160,163,165,166,167,169,171,172,174,174,173,174,175,97,106,114,124,171,152,139,137,139,145,148,152,155,159,160,163,166,167,169,170,171,172,174,175,175,175,175,176,98,109,112,135,193,160,150,148,143,152,151,150,148,152,160,166,167,169,171,171,171,173,173,175,176,177,177,178,100,109,116,123,149,149,142,137,137,156,154,151,145,133,144,153,157,164,170,171,175,178,177,177,178,179,179,179,100,109,118,125,127,130,128,122,128,141,143,144,143,145,151,144,147,151,160,161,154,162,176,181,178,180,180,180,103,112,120,126,130,133,136,141,142,143,140,133,132,142,146,140,137,134,153,162,153,141,133,165,187,180,182,183,103,113,121,126,131,133,137,143,148,152,155,153,150,147,141,132,124,133,151,160,167,140,133,122,157,188,182,184,103,113,121,127,132,134,138,144,148,153,156,160,164,165,164,157,150,161,159,154,160,154,142,147,120,150,190,183,105,115,124,128,134,136,139,144,149,154,157,161,163,168,167,176,199,180,154,120,159,158,139,158,142,112,154,195,107,115,124,130,134,135,139,145,150,154,159,162,180,158,139,153,178,173,138,92,152,158,143,158,156,136,104,156,107,117,125,131,136,136,140,146,152,156,159,168,186,155,128,158,193,183,137,119,139,147,154,154,148,135,114,100,109,118,125,133,137,137,142,147,152,158,161,167,167,136,131,165,194,177,132,127,128,127,140,145,126,127,120,108,109,119,127,134,137,139,143,148,153,159,162,164,172,171,140,159,181,158,136,136,138,135,140,142,118,112,119,116,109,119,128,134,135,138,143,149,154,159,163,164,175,213,179,114,100,102,116,141,147,144,150,146,125,118,119,117,110,120,129,134,137,139,145,150,155,159,165,167,170,211,191,130,63,40,33,52,102,144,145,142,131,132,123,111,111,120,130,136,137,139,146,151,156,161,166,167,169,211,189,125,80,73,51,26,30,111,134,127,119,105,89,75,111,121,130,136,138,139,146,152,157,162,166,170,168,206,189,105,111,112,100,70,48,56,90,80,68,55,52,45,112,122,130,136,137,139,146,153,158,163,166,171,168,200,200,115,141,138,128,123,96,63,57,54,52,49,50,48,111,122,131,136,138,141,146,152,158,162,166,171,169,192,212,123,134,148,134,114,78,59,57,56,57,51,51,48,111,122,131,136,137,140,145,152,158,162,166,169,170,178,213,129,131,192,168,102,67,54,57,57,55,51,51,49,112,122,131,136,137,141,147,154,158,163,166,171,172,179,198,109,146,197,177,95,60,54,56,56,54,51,52,52,114,124,131,137,139,142,148,154,159,163,167,171,172,181,157,131,185,187,188,98,68,61,60,53,51,52,53,53
7,123,140,153,161,167,172,175,177,178,181,184,186,186,187,187,188,189,189,189,188,187,186,184,183,182,180,179,178,124,141,154,162,168,173,176,178,180,182,185,186,187,188,188,189,190,190,190,189,188,187,186,185,183,182,180,179,126,143,155,164,169,174,177,179,181,184,186,187,189,190,191,191,192,192,192,191,190,188,188,187,185,184,182,181,127,144,156,165,171,175,178,181,183,185,187,188,190,192,192,193,193,193,192,192,192,190,190,189,188,186,184,183,128,144,156,165,171,176,179,181,184,186,187,189,191,193,194,194,194,194,194,193,193,192,191,190,189,187,186,184,129,145,157,166,172,177,180,182,185,187,189,190,192,193,194,193,192,191,190,189,185,182,182,183,185,188,188,186,129,145,157,166,172,177,180,182,183,184,186,185,184,180,175,169,160,158,156,155,148,146,161,164,165,185,189,187,130,146,158,167,173,177,176,168,162,159,159,158,153,143,138,134,121,123,125,122,120,125,145,146,147,180,190,189,132,148,159,167,174,176,163,141,132,134,136,138,136,128,122,117,112,111,112,112,112,111,114,114,129,162,177,187,133,148,159,168,175,171,153,127,116,118,120,123,125,125,125,124,120,110,113,119,115,110,106,102,112,131,143,173,134,150,162,169,169,161,147,128,116,115,121,129,133,135,133,129,118,103,105,114,108,100,97,93,101,116,126,165,140,159,167,167,162,156,148,136,129,130,135,138,134,131,126,118,105,96,99,104,102,101,102,103,109,123,147,180,162,169,168,165,163,156,142,121,113,117,122,121,115,113,112,109,107,116,129,143,152,160,166,169,174,179,187,193,176,173,170,166,158,146,129,103,94,99,97,89,85,99,128,148,168,181,191,196,199,200,200,199,199,197,196,195,176,173,169,158,144,135,120,97,87,81,72,65,67,78,98,121,176,202,203,204,203,202,202,201,200,198,196,195,175,171,161,147,136,129,123,112,95,77,71,71,71,69,66,72,141,200,204,205,204,203,202,202,201,199,197,196,171,162,146,135,129,127,132,128,104,79,73,74,74,72,69,69,132,200,206,205,204,204,203,203,202,200,198,196,156,144,131,126,123,121,123,116,92,72,66,65,69,70,67,65,118,195,206,206,206,205,203,202,201,200,199,196,138,131,125,122,116,109,107,97,80,65,58,63,71,72,70,81,138,197,206,206,206,205,203,202,201,200,199,197,130,126,121,116,107,96,92,91,84,72,68,74,77,75,84,138,190,205,206,206,206,205,203,202,202,200,199,197,122,115,109,103,96,93,95,100,93,79,75,79,85,97,134,185,203,205,205,204,204,204,202,202,200,199,197,196,114,109,105,101,97,96,98,99,89,82,100,127,149,171,191,201,203,204,203,203,203,202,202,201,200,198,196,195,108,105,103,99,94,90,90,90,97,126,166,188,196,200,202,203,203,203,203,203,203,202,202,201,200,199,196,195,87,86,92,95,93,95,107,130,156,181,194,198,200,201,201,202,203,203,203,203,203,202,201,201,199,198,196,195,55,48,89,126,135,147,163,177,186,191,194,197,199,200,201,201,202,202,202,202,202,201,201,200,198,196,195,193,36,29,106,161,168,174,178,180,182,185,187,189,190,191,192,192,192,191,191,190,188,187,187,185,182,180,177,174,20,30,108,146,147,147,146,146,147,147,147,145,145,146,146,145,143,141,140,139,137,135,133,130,127,118,102,94,8,32,92,113,114,115,114,114,115,115,113,113,113,114,114,112,110,109,108,108,107,106,104,102,96,74,46,38
7,206,207,206,207,207,207,207,207,206,206,205,204,203,202,201,200,200,199,197,196,192,192,191,188,187,185,183,180,209,208,208,208,209,209,209,208,207,207,208,207,206,205,204,202,201,199,199,198,196,194,193,191,189,187,186,182,209,209,210,210,211,210,211,212,210,209,210,209,208,208,206,204,203,202,201,200,198,196,193,193,192,189,188,186,211,210,212,212,212,212,212,213,212,212,210,210,210,209,207,206,205,204,202,202,202,201,199,198,196,193,190,188,212,213,213,214,214,214,213,214,214,214,212,210,210,209,209,210,211,209,207,202,196,187,181,180,186,196,192,191,214,215,215,214,214,215,214,214,214,217,217,216,217,214,209,195,178,168,158,163,149,127,155,183,152,186,196,192,216,216,216,217,215,216,217,220,219,212,206,196,180,165,150,149,131,120,136,128,124,120,138,152,131,193,198,192,217,217,217,217,217,220,213,191,168,154,145,148,146,141,139,134,121,106,111,99,102,96,79,101,143,163,188,197,219,218,218,219,222,206,178,158,130,131,142,136,137,131,129,111,109,116,105,102,108,100,99,93,82,96,125,194,217,217,220,219,195,177,178,159,121,112,107,103,108,115,125,134,140,141,110,88,112,100,88,81,67,92,95,184,217,222,213,183,173,178,173,158,142,126,123,129,142,149,145,146,134,125,96,71,77,66,64,71,75,91,141,200,222,213,178,170,174,173,165,165,160,147,145,139,141,136,122,115,101,87,71,80,114,142,165,180,194,201,205,200,215,178,171,173,175,168,173,170,152,114,92,100,103,90,81,111,125,145,170,199,218,219,216,212,209,205,201,200,183,178,178,178,175,174,170,150,128,77,69,77,64,59,49,119,224,227,224,219,212,209,208,208,208,206,202,201,178,183,180,177,176,167,143,137,112,79,67,53,50,50,52,28,135,228,213,215,213,212,210,209,207,205,202,201,180,181,178,181,171,150,139,132,126,129,106,59,51,55,44,56,175,221,214,214,212,211,208,207,205,202,205,204,175,179,185,181,160,138,130,125,135,145,105,56,52,47,57,175,229,215,215,214,214,211,207,208,211,212,192,119,176,182,181,163,132,117,117,114,119,111,70,48,46,27,117,239,215,218,215,214,212,216,219,207,179,131,81,57,177,176,158,133,123,122,122,108,101,87,70,54,53,32,112,230,215,221,221,220,225,191,142,102,68,53,50,56,169,152,133,132,130,126,117,91,76,86,90,64,43,82,213,231,225,203,192,191,155,87,60,49,54,53,54,55,145,132,133,128,113,96,79,73,83,101,87,50,67,180,192,171,127,76,70,65,57,53,66,53,40,47,52,56,135,135,123,100,88,84,82,85,85,76,55,75,99,92,80,78,44,40,54,39,54,45,45,52,28,38,47,54,136,129,108,99,99,96,86,74,65,62,98,111,86,72,67,64,58,28,49,38,40,38,38,39,24,31,42,51,121,99,88,87,84,79,69,67,84,109,113,85,68,61,55,47,47,30,31,40,31,34,35,31,19,26,42,48,78,56,67,73,79,82,90,107,118,108,66,60,57,52,42,46,41,35,18,35,26,29,34,24,20,29,40,47,44,83,113,116,122,118,115,115,108,79,54,41,49,50,37,40,36,36,14,24,29,26,34,21,21,31,36,43,60,118,119,116,122,114,112,108,86,48,44,37,36,46,30,33,25,31,18,16,28,26,33,18,25,31,37,41,75,119,118,115,116,115,108,92,59,28,45,40,25,42,24,31,19,28,26,10,25,27,30,19,29,30,39,38
3,56,0,21,48,65,74,83,93,100,104,109,113,116,118,120,122,124,126,128,129,116,133,135,137,140,141,140,142,49,0,26,50,67,75,84,94,101,105,110,113,116,118,120,124,125,127,130,142,84,113,141,138,139,141,141,144,38,0,31,52,68,77,86,96,102,107,111,114,117,119,122,124,127,128,134,153,86,97,145,138,139,141,143,144,28,0,36,54,69,78,88,98,102,108,114,117,118,120,123,125,129,128,138,150,79,100,145,138,140,142,143,145,18,0,38,57,70,79,89,99,103,109,114,117,119,123,124,125,132,130,144,150,78,109,146,140,143,144,145,146,7,5,41,60,72,80,92,100,105,111,115,117,121,125,128,129,118,122,153,135,77,108,147,142,145,146,147,148,0,12,44,62,74,82,92,102,107,112,116,117,120,110,140,163,127,91,139,114,72,110,150,143,146,146,147,148,0,19,47,64,74,84,94,103,107,113,111,143,164,124,101,137,147,83,110,111,61,124,150,146,148,147,149,150,0,24,50,66,75,86,96,104,108,112,119,136,151,160,111,89,144,113,123,101,65,139,148,148,148,149,150,151,0,29,51,69,78,88,98,105,104,131,173,141,85,111,130,70,130,133,125,93,62,142,148,147,149,151,152,152,0,33,53,70,79,88,99,106,105,142,152,141,118,82,125,106,57,58,124,108,75,100,153,148,151,152,152,154,0,37,56,70,80,88,99,106,106,148,130,85,123,111,94,127,58,48,111,142,125,69,130,155,151,152,153,155,6,38,58,72,81,89,100,106,109,156,118,58,69,71,75,78,77,80,86,140,128,72,128,157,151,153,155,155,9,42,60,72,82,90,101,104,113,153,117,106,88,61,75,77,97,91,96,147,124,71,142,155,153,155,156,155,13,45,61,73,83,91,102,103,123,161,136,109,80,65,82,99,114,93,113,165,122,78,153,154,155,156,157,158,19,48,63,74,83,92,102,102,126,163,121,90,70,73,90,114,119,115,142,164,109,85,158,153,155,156,159,159,25,49,64,75,84,94,103,103,128,159,119,94,77,80,96,122,127,154,159,154,99,85,159,154,156,157,158,159,29,50,66,75,85,95,104,102,127,164,132,101,85,81,99,126,150,173,152,131,94,88,162,154,157,159,159,160,32,51,68,76,86,95,103,104,126,165,136,113,89,89,101,140,171,170,150,112,74,106,163,154,158,159,160,160,36,52,68,78,86,96,103,105,124,167,146,120,95,95,106,155,170,162,147,107,59,118,162,154,158,159,160,160,38,54,69,78,87,96,103,107,118,159,145,121,110,101,113,164,169,155,139,100,55,133,160,155,158,161,160,160,41,56,69,77,87,97,102,108,113,144,145,130,125,112,117,158,163,146,131,89,60,148,158,158,158,160,160,161,43,57,69,78,87,97,102,108,112,133,150,139,132,124,113,145,149,132,118,79,76,160,156,158,159,160,160,161,43,58,71,79,87,99,104,108,112,130,153,144,135,120,109,128,134,122,118,65,104,165,155,158,159,160,162,162,44,59,70,79,88,99,104,109,111,134,165,144,130,110,105,118,120,118,113,67,138,160,156,159,159,160,162,162,45,60,70,79,88,99,103,109,110,140,170,141,130,113,109,121,113,119,88,85,160,154,157,158,160,161,162,162,46,61,71,80,89,98,103,110,110,152,169,150,138,116,121,129,112,108,70,116,161,154,157,159,160,161,162,162,46,62,71,79,89,98,102,111,111,157,170,164,133,117,129,129,108,87,64,137,157,156,158,159,160,161,162,162
4,99,100,102,102,103,104,106,109,109,111,112,112,113,114,116,116,117,118,119,120,120,121,120,119,121,121,123,123,98,100,102,103,103,106,107,109,110,111,112,113,114,114,115,117,117,119,119,120,121,121,122,123,123,122,123,124,99,101,103,103,106,106,108,109,110,111,111,113,116,114,113,114,120,118,120,119,120,122,122,124,124,124,124,124,99,101,104,105,106,106,108,109,112,117,113,105,107,126,117,97,92,121,118,123,122,121,123,124,124,124,125,125,100,102,104,107,107,106,106,109,111,119,126,111,73,102,124,91,64,82,100,88,116,124,124,125,125,125,126,126,101,103,104,106,105,108,131,122,105,74,116,112,70,75,115,84,56,61,90,58,80,132,124,125,126,125,125,125,102,103,106,107,103,122,150,130,95,63,98,110,71,59,111,106,53,62,94,67,70,131,124,125,127,127,126,127,101,103,106,109,105,133,124,134,102,68,80,122,83,42,107,117,60,62,112,70,68,134,123,126,128,128,127,128,102,105,107,107,107,140,112,111,120,83,51,121,90,23,74,127,96,75,93,75,75,114,128,126,128,128,128,129,103,105,107,107,111,139,113,97,91,69,34,64,72,24,46,117,103,91,85,88,89,75,125,128,128,129,129,129,104,106,109,106,118,138,117,104,88,73,65,49,69,60,57,93,106,103,93,82,91,87,102,133,127,129,130,131,105,106,110,104,134,136,113,94,87,77,64,68,86,72,80,90,99,93,78,95,117,98,82,131,128,130,130,131,105,107,109,107,142,129,108,90,79,66,62,73,87,80,91,106,91,66,91,130,120,108,77,122,132,130,132,131,106,109,107,115,150,127,109,91,82,70,68,76,83,91,98,111,111,115,112,112,110,104,76,104,136,131,131,131,106,109,107,119,152,128,113,97,80,71,68,78,90,101,103,114,127,126,118,110,96,84,70,79,137,131,131,131,107,109,105,125,156,129,117,103,83,72,73,75,93,106,120,126,128,121,117,106,94,79,61,66,136,132,132,132,108,110,104,130,157,128,120,106,93,82,79,78,100,121,132,131,125,115,112,104,89,76,58,72,138,133,134,133,107,112,104,133,158,134,124,114,104,87,83,95,110,134,137,132,124,114,104,96,83,73,52,105,140,131,134,135,110,113,106,130,159,141,130,121,114,101,91,108,113,130,134,129,123,113,100,87,72,58,65,135,134,133,134,135,111,111,108,123,162,146,135,123,117,108,100,107,117,130,133,125,123,116,99,81,65,49,109,139,133,134,134,135,110,111,111,114,161,150,134,120,114,107,105,109,118,131,132,120,117,115,98,87,58,76,139,133,133,134,134,135,111,111,112,110,159,151,129,124,117,112,112,114,123,127,123,116,108,106,100,83,58,125,138,135,135,134,135,136,110,112,112,111,161,146,129,133,125,120,118,116,121,123,113,109,102,100,95,63,101,140,133,135,135,135,135,136,111,112,111,115,161,137,134,138,130,128,123,116,119,120,111,104,97,89,69,88,138,134,134,135,135,135,136,137,111,113,109,122,161,146,137,134,130,132,127,114,113,114,108,98,88,68,75,138,134,135,135,135,136,136,136,137,110,112,108,128,162,153,134,129,131,136,127,108,107,106,103,92,79,55,119,136,133,134,135,135,136,136,136,137,110,112,107,136,160,154,134,127,132,132,121,107,100,103,98,86,62,75,141,131,133,134,135,135,136,136,136,137,111,113,107,141,161,154,132,126,130,129,117,105,98,106,94,80,53,104,140,133,133,135,136,136,136,136,136,137
24,188,191,193,195,197,200,202,202,202,205,202,203,202,203,201,200,201,201,200,198,198,197,196,193,193,193,192,191,189,192,195,198,199,201,204,205,203,206,204,205,203,204,203,204,203,202,202,200,200,200,199,198,195,192,191,190,191,192,196,197,205,204,204,206,206,206,207,206,206,206,206,206,205,202,202,202,202,201,199,199,197,193,192,192,193,196,196,203,177,200,206,207,208,209,209,208,208,208,207,207,206,204,203,203,201,202,200,200,199,196,194,194,195,197,201,221,126,185,213,208,208,209,210,210,209,208,208,207,207,207,205,206,203,203,202,201,200,197,197,198,197,198,208,206,115,187,213,210,211,211,213,214,210,208,210,209,209,208,206,207,205,203,202,201,200,198,198,199,197,196,211,200,114,185,215,210,212,212,207,200,216,211,211,211,210,208,207,209,208,210,207,202,201,201,199,199,199,198,213,207,118,187,220,212,215,219,214,155,161,215,214,211,212,211,209,195,179,160,194,207,203,201,201,200,200,200,213,204,122,171,214,210,174,210,226,194,118,131,216,215,212,211,184,140,121,101,157,214,204,202,202,202,201,201,212,200,198,196,195,231,150,162,234,201,122,87,158,224,213,204,145,102,114,166,199,210,207,205,204,203,203,203,211,224,245,218,221,237,175,143,230,192,110,80,104,208,224,184,116,107,203,218,212,210,207,206,207,205,203,206,212,214,253,221,229,240,177,106,180,144,101,65,102,196,204,145,101,178,223,209,211,210,209,208,208,206,205,208,210,222,255,222,241,249,173,102,50,132,177,158,186,198,155,108,132,224,214,214,213,213,211,210,208,207,205,209,209,250,247,201,206,225,144,85,105,226,225,207,190,181,134,100,198,224,216,217,216,214,212,211,209,209,206,208,216,234,215,183,137,139,112,172,252,240,215,192,168,151,122,138,228,218,218,218,217,216,215,212,210,209,209,207,229,232,212,187,155,103,202,255,250,238,210,175,147,131,111,190,231,219,219,219,219,216,216,215,212,210,210,206,240,252,221,188,175,207,255,255,248,231,193,156,132,121,119,219,225,221,220,220,219,219,217,216,215,212,210,208,250,255,229,212,226,255,255,255,242,213,173,134,131,102,158,235,223,223,224,223,220,220,218,216,214,213,211,208,255,255,238,237,255,255,255,248,225,189,148,127,117,116,220,231,226,225,224,223,221,220,219,218,217,215,211,208,254,255,244,253,255,255,232,218,197,161,134,123,108,199,236,227,227,227,224,223,222,221,220,219,218,216,213,210,252,255,248,239,247,238,213,192,172,138,126,104,189,239,228,228,227,227,225,225,224,223,221,220,218,218,213,211,241,255,238,235,246,243,219,195,167,132,95,132,237,231,233,231,228,228,226,226,227,224,223,221,220,218,212,214,227,235,219,238,245,239,218,188,159,118,74,182,240,232,233,233,232,229,227,226,226,226,225,224,223,219,212,217,219,229,238,246,237,228,218,184,150,102,89,214,239,233,234,235,234,231,228,228,227,227,226,224,223,221,210,215,215,242,252,234,231,223,207,178,148,98,102,228,234,232,233,233,231,229,228,228,227,226,225,223,222,221,209,213,213,248,248,220,237,211,197,177,145,107,94,221,234,232,232,233,229,228,228,229,227,225,224,224,221,220,210,215,212,255,250,219,239,205,200,177,139,108,87,208,239,233,233,234,230,228,227,228,227,225,224,224,221,219,209,215,215,255,253,226,239,215,197,174,138,110,83,196,241,233,235,232,232,230,228,228,226,226,225,223,222,220
24,156,158,160,162,163,166,167,167,168,169,168,168,168,168,167,166,167,167,166,165,164,163,162,160,160,160,159,158,157,159,162,164,165,167,169,169,169,170,169,170,169,169,168,169,168,167,167,166,166,165,164,163,161,159,158,158,158,160,162,164,167,168,169,170,170,171,171,171,171,171,171,170,170,168,167,167,167,166,165,165,163,160,159,159,160,162,163,167,149,164,171,172,172,173,173,172,172,172,172,171,171,169,168,168,167,167,166,166,165,163,161,161,162,164,167,173,118,153,173,173,173,173,174,174,173,172,172,172,172,171,170,170,169,168,167,167,165,163,163,164,163,165,171,165,108,153,173,174,174,174,175,176,175,173,174,173,173,172,171,171,170,169,168,167,166,164,164,165,163,165,173,161,107,152,175,175,176,176,172,166,174,175,175,175,174,173,172,172,170,170,170,168,167,166,165,165,165,166,175,165,109,153,177,176,176,180,174,138,139,169,176,176,176,174,171,159,146,136,158,170,168,167,166,166,166,167,175,164,116,145,172,173,151,171,183,156,108,116,170,178,176,173,151,120,105,99,136,172,170,168,167,167,166,168,174,168,163,163,166,181,136,141,186,162,103,83,130,178,178,165,122,92,103,136,162,173,171,170,169,169,168,169,175,184,196,181,183,189,148,125,179,153,95,71,95,168,180,149,103,100,159,175,175,174,172,171,171,170,168,171,175,181,204,186,191,193,147,99,138,121,92,67,95,158,163,122,96,144,178,176,175,174,173,172,172,171,170,172,175,187,206,186,197,197,142,87,64,114,141,132,149,159,130,98,116,176,179,177,176,176,174,174,172,172,170,173,176,201,199,171,170,175,122,85,100,175,180,168,156,147,113,96,158,182,180,179,179,177,175,174,173,173,171,173,180,193,179,153,123,118,107,145,192,196,179,159,140,125,106,120,180,182,181,181,180,179,177,175,174,173,172,173,188,192,176,154,129,104,165,210,207,196,173,146,124,109,101,155,186,182,181,181,181,179,178,177,176,174,173,173,197,203,182,158,150,170,216,213,204,189,160,130,112,102,107,175,186,183,182,182,181,181,180,179,177,176,173,175,204,208,190,178,188,215,220,211,198,175,144,115,106,94,134,187,186,185,185,184,182,182,180,179,178,177,174,175,207,211,198,197,214,221,212,203,184,156,125,106,99,108,174,190,187,186,185,185,183,182,181,180,179,178,174,175,207,215,204,208,221,212,193,181,162,135,113,102,103,159,190,189,188,187,186,185,184,183,182,181,181,179,175,177,206,220,206,199,205,197,179,161,143,117,103,96,153,190,191,189,188,188,186,186,185,184,183,182,181,180,176,177,198,212,198,196,202,199,181,160,138,109,86,115,185,193,192,191,189,188,187,187,187,186,184,183,182,181,176,178,188,194,186,196,201,196,180,156,131,98,75,147,193,193,193,192,191,189,188,187,187,187,186,185,184,181,175,179,182,190,196,201,196,189,178,152,124,89,84,170,195,193,193,194,193,191,189,188,188,187,187,185,184,183,174,177,180,198,205,194,192,184,171,148,122,87,92,180,193,192,192,192,191,189,188,188,188,187,186,185,184,183,174,176,179,203,204,186,193,176,164,146,120,91,88,175,193,192,192,192,190,188,189,189,187,186,185,185,183,182,174,177,179,207,205,185,194,172,165,146,117,91,83,167,194,193,193,193,190,189,188,188,187,186,185,185,183,181,174,177,180,209,207,189,195,178,163,144,115,92,80,159,194,194,194,192,191,190,188,188,187,187,186,185,184,182
19,198,199,202,202,201,200,201,200,200,199,200,199,199,198,197,197,195,195,194,193,192,192,191,190,189,188,186,185,200,200,201,201,201,201,201,201,201,201,201,199,199,198,197,197,197,196,194,193,193,192,192,190,190,190,187,185,201,202,201,203,205,204,204,206,206,201,202,202,201,199,199,198,198,197,196,195,194,193,193,192,191,189,187,187,201,203,205,205,204,206,196,181,188,208,201,203,203,200,200,199,199,198,197,195,195,194,194,193,191,189,188,187,204,205,205,207,201,223,215,183,143,180,210,203,204,201,202,201,199,199,198,196,196,196,194,193,191,191,190,188,205,205,205,207,203,213,242,211,167,119,195,208,204,203,200,201,200,200,199,198,197,196,196,193,193,193,191,188,207,208,207,208,207,205,238,223,183,113,140,216,204,203,201,202,202,200,199,198,197,197,197,195,194,192,190,190,209,209,208,209,209,202,230,221,173,122,107,206,206,204,204,202,202,202,198,198,198,198,197,196,195,193,191,190,210,209,210,211,207,229,226,201,172,123,102,200,212,210,207,205,203,204,201,199,200,199,197,197,197,195,192,190,210,211,213,207,238,255,224,196,197,185,165,188,191,198,208,209,206,204,203,201,199,199,198,198,197,196,193,193,213,214,209,222,249,213,176,169,190,221,227,212,194,181,172,186,200,206,206,201,200,201,200,199,198,196,193,192,213,214,211,252,244,217,165,124,138,189,223,231,228,220,191,179,172,185,193,202,205,203,201,200,198,197,196,193,216,209,239,255,235,217,196,164,136,148,176,197,211,219,217,215,210,207,181,167,181,197,207,201,198,198,197,194,215,215,249,235,207,194,187,188,194,179,166,161,159,169,187,202,216,229,219,188,168,146,171,200,202,198,196,194,211,236,255,231,188,164,166,153,193,211,198,183,160,128,128,168,172,190,199,200,192,166,155,174,188,200,197,196,217,255,255,230,199,183,178,174,169,190,210,205,185,149,131,173,209,193,183,174,174,177,185,174,157,205,197,197,235,255,249,220,200,199,203,204,197,154,147,184,184,170,157,133,207,216,212,207,196,185,175,170,188,203,198,198,252,255,234,203,178,191,223,215,219,168,128,156,142,158,163,146,209,212,212,211,212,211,205,204,204,199,200,198,253,255,231,189,164,138,180,214,233,200,176,155,143,128,130,190,216,212,212,210,208,207,206,205,202,200,199,197,255,255,220,190,179,174,163,167,154,208,213,169,163,134,183,219,212,213,212,211,210,207,206,205,204,202,200,198,255,249,216,196,189,189,187,174,156,179,190,184,147,165,222,213,213,214,213,211,210,208,207,206,206,204,202,199,255,240,222,204,200,197,185,169,158,156,146,134,175,215,218,216,216,214,213,212,211,209,208,207,205,204,202,200,252,231,213,199,192,199,190,174,157,163,143,169,224,219,218,216,217,214,213,213,211,210,209,209,207,205,203,200,245,229,209,174,153,155,161,162,159,154,166,219,220,219,219,217,214,214,213,212,212,210,209,208,206,205,203,202,231,211,182,145,124,107,160,186,175,196,223,225,225,224,224,221,218,218,219,218,218,213,208,206,209,213,212,204,209,178,146,136,123,114,191,207,202,202,197,197,196,195,194,194,194,194,196,189,182,194,211,220,219,205,198,190,172,151,137,133,127,124,125,122,119,117,117,119,117,115,114,116,116,114,108,130,175,210,213,202,195,203,206,170,147,137,132,129,131,128,125,124,121,119,120,120,118,117,116,116,115,112,165,224,216,204,193,198,181,205,233,178
7,186,187,189,190,190,191,190,190,190,190,189,187,188,186,185,184,183,181,180,180,179,178,176,181,144,32,19,34,188,189,191,192,192,193,193,192,191,191,190,189,189,188,192,187,185,184,181,179,181,177,175,182,170,128,101,90,190,191,194,196,196,196,196,195,195,195,193,190,192,182,162,176,179,175,160,161,156,159,187,171,141,87,175,172,193,195,196,198,197,197,197,196,195,193,194,196,198,185,158,164,187,182,158,152,145,150,191,150,128,120,199,131,195,196,197,198,198,198,198,198,202,207,216,216,208,180,167,172,154,142,145,130,131,116,113,140,159,133,125,101,196,198,199,200,201,201,191,198,213,221,221,210,200,191,187,182,154,113,145,156,140,134,121,122,103,130,124,162,198,199,203,200,217,220,202,196,204,208,203,200,198,196,195,176,152,136,145,153,142,141,134,112,87,122,121,131,199,200,203,206,238,228,213,196,198,206,205,202,200,196,193,176,150,133,118,109,100,101,93,87,82,84,104,173,202,204,202,223,243,228,202,175,181,199,204,199,189,171,153,133,113,122,114,117,125,137,140,139,153,163,172,164,205,206,203,239,236,223,186,166,184,177,166,157,141,132,123,107,102,132,210,202,200,201,200,199,195,191,192,148,207,202,219,246,232,216,197,190,180,162,163,168,165,158,152,149,158,90,103,191,199,195,195,192,189,187,187,186,207,204,241,242,236,231,231,214,174,172,177,175,167,150,146,141,133,99,20,99,210,196,197,195,192,190,187,188,201,218,248,242,239,239,240,214,155,156,165,159,152,140,133,123,109,85,34,65,208,197,199,197,195,192,190,188,207,242,246,244,241,237,229,196,161,151,125,101,99,118,132,141,152,123,48,140,207,197,200,198,197,196,192,189,231,248,245,243,241,229,217,196,175,154,131,118,138,176,175,153,159,136,131,216,199,200,200,199,197,196,194,190,243,247,247,243,233,222,209,184,164,174,158,149,169,167,150,140,137,99,131,217,202,203,201,200,199,197,195,192,246,247,244,240,228,209,179,168,189,195,165,154,157,146,140,130,117,64,155,216,205,205,202,201,200,198,196,193,246,245,242,235,218,194,191,204,213,198,174,144,124,106,92,73,68,112,207,208,208,208,205,202,200,199,196,194,245,239,230,221,211,208,211,207,200,182,149,118,80,127,97,114,173,211,212,211,209,208,206,204,201,199,196,195,237,230,220,217,213,218,207,186,181,168,144,99,135,219,218,221,222,213,213,211,207,207,207,206,202,200,199,195,225,217,219,215,208,206,197,181,179,153,97,131,225,218,216,215,214,215,215,212,211,208,207,207,204,202,200,197,214,205,209,207,197,189,182,173,148,96,112,222,219,218,217,215,216,215,214,211,212,211,208,207,205,203,198,193,212,206,200,189,176,171,162,144,93,102,214,222,216,217,216,216,215,215,212,211,209,209,208,206,201,203,204,186,209,198,185,166,150,145,126,82,108,211,225,221,219,219,217,216,215,214,213,212,211,210,206,203,212,175,92,146,186,168,151,129,117,98,71,121,218,226,220,222,221,221,218,216,216,215,213,212,210,208,210,213,186,78,19,26,158,142,131,121,95,93,161,228,224,221,222,222,221,221,218,217,217,216,213,213,219,219,196,129,55,28,23,18,151,147,125,95,93,217,233,221,221,222,222,222,221,221,219,217,217,218,221,209,176,122,59,28,25,30,24,21,175,161,127,80,110,236,220,223,222,221,222,222,221,220,218,216,209,199,151,88,38,13,19,23,18,20,21,21
24,99,106,113,118,121,126,128,130,133,136,138,141,144,146,148,148,150,151,153,154,156,157,158,158,158,158,158,158,100,108,114,119,123,127,129,132,135,137,139,144,146,148,149,151,152,154,156,158,159,159,160,159,158,158,159,160,103,110,116,120,124,128,130,134,137,139,142,145,148,149,150,152,153,156,158,159,160,160,160,160,160,161,161,161,104,110,118,123,126,130,131,134,137,140,143,147,149,151,151,154,155,158,159,160,161,162,163,161,163,164,163,164,106,112,119,124,128,130,133,135,140,143,146,147,150,150,152,155,158,159,159,161,163,165,165,163,165,164,164,165,107,114,120,126,130,138,125,138,140,144,146,150,151,152,155,158,159,160,161,162,163,165,164,165,166,166,166,165,107,115,120,124,147,142,89,135,142,145,148,152,153,155,158,159,160,161,164,164,165,166,166,167,168,168,167,169,110,117,122,126,166,116,86,139,144,147,150,152,155,157,159,159,161,164,165,167,168,169,167,168,170,170,169,170,111,119,122,140,166,97,100,144,145,149,153,154,156,160,161,162,162,165,164,153,131,144,170,170,171,170,171,171,111,120,119,162,152,86,118,144,149,144,136,153,153,137,148,165,165,168,138,101,81,91,169,173,172,172,172,172,113,120,123,182,136,114,130,132,168,144,101,130,151,125,103,148,173,156,105,73,77,127,174,173,173,174,173,173,115,120,131,186,140,179,146,121,166,141,88,135,142,122,88,110,183,138,89,74,148,176,173,174,175,174,174,174,115,119,147,185,173,189,156,120,160,130,80,124,130,106,75,142,163,115,77,113,180,174,175,176,176,175,175,176,116,118,162,183,173,207,155,115,154,122,72,65,112,110,116,152,123,90,76,161,177,176,177,178,177,177,178,177,118,118,174,195,169,198,146,101,158,110,90,103,143,148,131,126,110,74,109,181,177,179,179,178,178,178,179,179,118,128,183,183,163,177,130,87,156,162,171,172,152,130,112,99,99,74,151,182,179,179,179,180,180,180,179,180,113,155,163,150,136,152,136,116,184,200,185,168,143,119,96,87,85,86,178,181,181,180,180,181,182,182,181,181,118,189,168,143,125,123,142,190,206,196,184,167,135,108,87,82,72,123,186,182,183,182,182,183,183,183,182,182,141,206,171,149,134,117,144,211,197,183,171,147,122,98,81,76,66,157,185,184,183,184,185,185,184,184,184,184,176,209,173,162,152,163,196,205,186,168,155,131,106,89,79,75,70,168,186,184,184,184,185,186,186,186,186,185,197,210,183,170,162,186,198,185,168,151,141,118,96,84,78,72,90,183,185,185,186,186,186,188,187,187,187,186,201,219,192,173,160,175,185,173,161,139,133,107,89,77,72,67,142,187,185,186,186,187,187,189,189,187,187,187,189,224,196,180,166,170,180,175,155,137,125,100,82,70,60,110,185,186,186,187,188,188,189,189,190,189,189,189,165,215,192,176,174,165,164,169,144,123,111,91,68,61,118,177,185,185,187,188,190,191,190,189,189,190,191,191,150,198,194,180,179,164,148,160,143,118,102,77,55,118,183,184,185,187,188,189,189,191,191,191,192,192,192,192,140,195,194,180,168,163,141,151,138,116,96,62,80,172,181,184,186,187,188,189,190,191,192,192,192,193,193,192,141,203,196,173,155,161,141,141,132,111,94,61,117,184,182,184,186,188,189,191,192,191,192,192,193,194,194,194,147,203,197,165,146,163,138,133,132,109,88,64,127,184,182,185,188,189,190,192,193,193,193,194,194,194,195,195
5,161,165,168,171,173,176,180,181,181,182,182,184,184,184,185,185,185,185,184,186,185,184,184,183,184,185,185,185,163,167,170,173,177,179,181,183,184,185,186,186,186,186,186,186,187,188,188,188,187,187,187,187,187,187,187,187,165,167,171,175,179,181,183,185,186,186,187,188,188,189,183,179,190,190,190,189,190,191,192,191,190,189,189,189,167,170,174,177,181,183,185,187,188,189,189,191,191,196,171,128,192,193,192,192,193,193,194,194,192,191,191,190,169,173,176,179,183,185,187,188,190,191,192,192,201,196,152,144,193,194,194,195,195,195,196,196,195,194,193,192,171,174,178,181,185,188,190,167,183,192,194,199,215,151,133,188,196,195,196,195,195,191,192,198,198,196,195,194,173,176,180,183,186,188,199,137,156,193,194,219,195,118,178,197,197,197,203,201,191,152,153,200,200,199,199,197,174,177,181,184,187,192,197,116,170,196,198,204,151,139,197,198,199,213,207,175,158,133,175,200,201,201,201,199,174,179,183,186,188,205,167,120,194,198,193,163,116,180,199,195,206,199,155,127,172,189,201,202,202,202,203,202,175,179,184,186,188,211,156,138,198,197,171,140,117,199,191,191,176,134,135,186,203,203,204,205,203,203,203,202,177,180,184,187,189,213,158,143,199,194,165,144,125,199,177,181,124,125,193,204,205,205,204,206,206,205,205,204,178,180,184,188,191,210,162,137,199,191,165,137,132,174,169,162,111,170,204,206,206,205,206,206,206,207,206,205,179,182,186,189,192,203,190,145,179,189,171,112,132,138,160,142,127,198,206,207,208,208,204,204,208,208,207,207,179,183,187,191,194,194,206,181,138,178,151,128,106,116,138,129,156,206,207,203,208,210,191,155,206,209,208,207,178,181,186,188,193,190,201,208,160,140,127,117,106,110,112,127,178,203,201,207,212,193,197,153,178,210,209,208,179,183,186,189,193,194,196,222,193,145,108,98,98,99,104,131,159,191,202,185,163,144,169,178,146,189,209,209,180,184,187,189,192,195,196,217,204,151,102,94,93,92,102,129,146,152,164,133,135,182,188,177,140,165,207,208,181,185,188,190,192,195,197,211,210,152,99,89,90,89,99,114,122,113,129,158,197,192,187,148,146,204,209,209,182,185,188,190,194,196,197,207,215,158,100,86,89,91,93,104,104,118,191,206,199,190,161,120,198,211,210,210,181,185,188,191,193,195,197,203,216,166,107,86,87,92,89,94,88,147,208,207,192,175,123,140,211,210,211,211,160,166,173,176,180,184,187,196,215,174,115,87,86,89,94,110,121,134,183,194,191,149,110,187,212,211,211,211,98,99,102,104,107,112,113,169,219,182,126,90,87,89,95,117,141,154,139,182,186,135,120,174,180,183,186,187,100,99,99,99,99,100,98,168,216,189,138,94,86,94,107,130,151,159,148,165,163,112,99,103,105,106,108,107,99,99,99,106,106,104,101,172,214,194,145,100,89,94,127,151,164,156,129,127,126,108,109,106,109,108,108,108,98,98,99,101,102,104,101,164,211,196,152,112,101,91,137,158,160,138,109,97,102,111,114,109,113,112,133,169,98,98,99,101,101,102,99,164,205,192,155,124,106,89,131,152,148,117,97,97,106,109,108,107,132,178,204,195,98,99,100,100,100,101,99,181,209,189,159,130,106,90,112,131,123,102,95,105,110,108,111,163,213,209,197,183,97,98,99,100,100,100,101,195,210,184,154,119,97,87,97,105,101,95,103,108,112,113,180,222,211,197,186,164
11,174,176,177,179,181,181,182,182,182,182,180,180,178,178,178,177,175,174,172,172,171,169,167,166,165,164,163,160,176,178,179,181,182,183,183,183,183,183,182,181,180,180,180,179,178,176,175,174,172,171,170,168,166,165,163,161,176,179,182,182,184,185,185,185,185,185,184,182,181,181,170,175,180,178,177,176,173,172,171,170,168,166,165,164,179,181,183,185,186,186,186,186,187,187,186,185,184,190,148,137,181,180,179,179,176,174,174,172,170,168,166,165,180,182,185,187,188,188,187,187,188,188,188,187,187,194,147,114,178,181,180,180,179,177,176,174,172,169,167,166,182,184,186,188,188,189,189,190,190,190,189,188,188,193,147,115,176,183,181,181,180,179,177,175,174,172,170,168,184,186,188,188,190,192,192,192,191,191,190,189,190,204,158,119,175,185,182,182,181,180,179,176,175,172,171,169,185,188,189,191,192,193,193,193,193,192,192,192,193,210,163,117,171,187,184,183,182,181,180,177,176,173,172,171,187,189,190,193,194,194,194,195,194,194,194,193,197,205,154,112,171,188,185,185,184,182,181,178,177,176,174,172,188,190,192,194,194,195,195,196,196,195,194,193,202,198,152,109,175,189,186,186,185,184,183,181,178,177,174,173,189,192,194,195,196,197,197,198,198,194,171,162,199,192,152,115,180,189,188,188,187,186,184,182,180,177,174,173,192,194,195,196,197,199,197,181,173,183,151,113,158,166,132,116,187,191,189,188,188,187,185,183,181,179,176,174,193,195,197,197,187,176,192,157,114,136,156,114,93,106,95,122,195,194,191,189,188,188,186,184,182,180,178,175,194,196,199,203,178,124,153,160,108,121,156,112,74,81,81,145,197,194,193,191,190,189,187,185,183,181,180,178,196,197,205,212,188,131,124,164,112,116,144,103,72,77,79,154,198,195,194,190,187,180,172,175,182,183,180,178,197,199,216,218,192,137,101,144,104,104,133,96,69,69,72,154,199,196,194,184,178,160,142,134,139,174,181,178,198,205,219,205,184,137,85,117,97,114,143,108,67,67,76,157,197,196,200,181,152,128,112,105,93,147,184,180,198,207,227,206,181,131,84,129,106,129,181,128,76,78,88,145,190,195,177,129,91,99,125,138,133,167,185,182,200,210,231,213,171,121,99,161,141,133,201,129,79,99,122,153,183,174,128,86,116,176,190,190,188,187,184,181,200,212,230,207,168,155,122,180,181,103,138,116,109,134,133,146,150,122,88,130,190,196,194,191,189,187,185,182,200,211,227,207,182,163,125,158,152,104,149,169,156,144,123,122,106,83,128,195,199,197,195,192,190,188,186,184,202,209,223,212,193,171,169,180,186,172,169,164,150,136,115,94,81,113,190,201,199,197,195,193,191,189,188,186,203,207,218,210,192,169,160,171,185,176,165,154,137,127,101,79,122,188,203,201,199,197,195,194,192,191,188,187,202,208,214,205,181,152,144,160,167,160,153,137,125,111,86,136,198,205,203,202,200,198,195,194,193,192,189,187,102,149,199,190,164,142,154,161,158,147,135,120,102,95,148,202,206,204,203,201,201,198,196,194,193,191,188,187,56,76,161,184,181,176,166,155,147,127,101,80,118,177,206,207,205,203,202,201,200,198,197,194,192,189,187,186,65,64,84,139,170,169,154,141,129,102,72,110,201,211,208,207,206,205,203,202,200,199,197,195,194,191,188,187,61,61,59,72,107,124,129,121,102,76,65,170,213,210,209,208,207,206,204,202,200,200,197,196,194,191,189,180
21,87,89,93,98,102,105,108,111,113,114,116,118,118,119,118,118,119,118,116,116,116,115,114,112,112,112,109,107,88,90,94,99,104,107,110,112,113,116,119,119,119,120,119,120,117,118,120,117,117,116,115,114,113,113,111,109,90,92,96,101,106,109,111,113,115,118,119,121,121,121,122,120,131,111,100,122,118,118,118,117,114,114,113,111,91,93,98,103,107,110,112,115,117,119,121,123,123,123,124,119,149,115,71,126,118,119,118,117,117,116,114,113,93,95,99,105,109,111,115,117,118,120,122,124,124,125,125,119,151,113,67,124,120,120,119,119,113,115,115,114,93,96,100,105,110,113,114,118,119,121,123,125,126,125,125,121,157,113,66,122,122,122,120,140,89,97,121,116,95,98,102,107,111,114,117,119,120,122,125,125,125,125,126,123,163,119,72,122,124,122,127,145,70,97,122,116,96,99,104,109,113,116,119,119,122,124,126,127,126,127,128,124,167,120,78,123,127,120,139,133,66,108,122,118,96,98,105,110,112,117,119,121,124,126,127,128,128,128,128,127,168,114,81,123,127,123,152,117,70,116,121,118,98,99,105,111,114,118,121,123,124,127,128,130,130,128,126,135,177,118,82,121,127,129,162,110,79,124,121,120,98,101,107,111,116,119,122,125,125,127,130,131,128,144,138,122,167,134,87,123,125,145,161,97,89,129,122,121,99,102,107,113,117,120,123,125,127,129,130,129,133,183,155,108,91,123,90,126,128,166,148,82,99,130,123,123,101,103,109,115,118,122,125,126,129,129,135,156,126,153,173,122,61,75,92,127,143,169,128,73,114,129,124,124,101,104,110,116,121,124,127,129,131,126,160,185,136,99,163,120,61,54,90,130,152,153,106,81,129,126,125,125,102,106,112,118,122,125,128,130,133,131,173,191,163,88,122,129,66,46,68,108,131,134,86,101,134,127,126,126,103,107,112,118,124,126,130,132,133,139,171,160,169,83,97,157,106,56,48,74,98,102,78,126,132,129,127,126,104,108,115,120,124,127,130,134,133,145,179,151,158,112,74,158,146,89,46,63,88,73,85,138,131,130,130,128,104,108,116,121,124,128,131,135,132,163,187,148,133,129,65,121,153,121,68,44,71,61,93,140,132,132,131,129,105,109,116,122,126,129,132,137,132,174,174,128,107,92,79,87,146,147,108,52,51,54,105,140,134,133,132,131,106,110,117,123,128,131,133,138,134,178,174,127,99,100,108,111,143,168,138,86,49,54,125,140,135,135,133,132,106,111,118,124,128,132,136,139,137,181,174,127,98,114,120,159,163,168,158,115,64,64,140,138,137,138,135,133,106,111,118,124,128,132,136,139,139,181,174,129,102,125,135,178,170,162,151,130,84,76,145,139,139,138,136,134,104,110,118,123,127,132,136,139,139,182,177,126,114,125,148,186,176,162,134,116,84,78,146,139,139,138,136,134,105,110,118,124,130,132,137,141,139,181,179,125,136,122,164,192,177,157,134,93,64,84,147,140,139,138,137,136,105,111,119,125,131,134,137,142,141,176,176,138,153,122,169,194,174,153,129,85,56,103,150,141,141,139,138,136,106,112,119,124,129,134,137,142,139,169,175,158,158,120,162,189,163,142,111,80,61,127,147,141,141,139,138,136,105,111,119,126,131,135,139,144,142,162,181,168,156,119,153,177,144,121,94,69,76,149,146,145,144,143,142,137,100,104,108,111,114,117,119,122,121,135,180,164,148,116,133,163,127,101,85,66,81,122,117,117,115,115,112,120
1,178,179,179,180,180,182,183,183,184,184,184,180,169,171,181,182,182,181,180,180,179,179,178,177,175,175,174,173,180,181,181,182,183,184,185,185,186,186,186,181,155,145,169,178,184,184,184,183,182,181,181,180,179,178,177,175,183,184,184,185,186,187,187,188,187,178,172,182,156,114,126,147,176,188,187,187,186,185,184,183,182,181,180,179,185,186,187,188,189,190,191,191,189,169,140,168,161,105,106,124,149,187,189,189,188,187,186,185,184,183,182,182,187,189,190,190,191,192,193,194,192,175,133,152,162,111,112,127,124,179,192,192,191,190,189,188,187,186,185,185,189,191,192,193,194,194,195,195,193,183,138,137,162,124,124,137,116,167,195,194,193,192,192,191,190,189,188,188,192,193,194,194,195,196,195,187,182,187,146,124,151,125,130,148,121,157,195,196,196,195,194,194,193,192,191,189,194,195,195,196,197,198,196,172,152,181,152,115,142,125,124,150,125,151,196,199,198,197,196,196,195,195,193,191,195,196,197,198,199,200,198,173,136,168,154,112,142,134,114,150,135,147,196,200,200,199,198,198,197,197,196,195,197,198,199,200,201,202,200,177,134,161,163,117,132,136,115,152,145,144,195,202,201,200,200,200,200,199,198,197,198,200,201,201,202,203,202,181,135,153,167,117,112,129,130,150,132,130,177,194,203,203,202,201,201,201,200,200,200,202,203,203,204,205,203,186,139,134,159,119,112,125,133,142,120,111,121,150,197,204,203,202,202,201,200,201,202,203,204,205,206,207,204,191,146,124,148,130,126,126,136,145,131,110,99,116,177,205,205,204,203,202,201,201,203,204,205,207,208,208,205,194,160,138,141,129,130,130,148,159,136,114,124,126,152,200,206,206,205,204,203,202,204,206,207,208,209,209,209,201,173,146,134,124,128,135,154,162,148,145,164,151,137,185,207,207,206,206,205,204,205,207,209,209,210,210,210,206,180,146,125,119,127,140,161,171,172,168,162,153,124,154,204,208,207,206,206,206,206,208,209,210,211,212,211,210,190,151,121,119,130,146,171,181,192,187,163,137,103,119,194,209,208,207,207,207,207,209,210,211,212,213,212,212,203,166,128,122,134,156,176,187,194,186,163,131,94,107,189,211,210,208,208,208,208,209,211,213,213,214,213,212,213,187,147,126,136,162,182,196,198,185,163,133,95,122,198,212,212,210,209,209,209,210,212,214,215,216,215,211,217,205,170,137,137,159,187,204,202,189,169,132,97,146,208,213,213,212,211,210,210,211,213,215,216,217,216,211,216,213,187,152,143,158,188,207,206,195,167,123,101,170,213,214,214,214,212,210,211,213,214,216,216,217,217,212,208,211,197,165,150,157,183,202,207,190,153,110,111,190,216,215,215,215,214,212,211,214,214,216,216,216,217,214,201,201,197,172,153,153,174,191,191,166,128,97,132,206,218,216,216,215,215,213,210,213,214,215,216,216,217,216,202,191,188,174,158,152,158,168,161,132,100,101,169,215,218,216,216,216,215,214,211,213,214,215,216,217,217,217,209,189,183,174,161,153,142,142,138,111,90,136,203,218,218,216,216,215,214,213,212,213,214,215,216,217,218,219,215,197,186,171,157,149,132,128,123,97,99,178,216,218,217,216,216,215,214,212,212,213,214,215,216,217,218,219,217,200,188,169,155,149,136,125,109,87,117,200,219,219,218,217,216,216,215,213,212,213,215,216,216,217,217,219,218,201,194,182,167,160,144,128,103,84,130,208,220,220,219,218,217,217,216,214
15,100,99,102,100,105,107,108,111,113,122,135,144,153,158,163,168,170,173,176,181,184,187,189,191,193,196,198,200,100,100,101,100,104,105,102,109,113,124,135,144,152,159,164,169,170,174,177,180,183,188,191,192,194,197,199,201,101,100,101,101,103,103,120,108,109,124,136,146,155,159,165,170,172,174,178,183,184,188,192,193,196,200,203,202,102,100,100,103,88,144,204,158,128,123,130,144,155,164,168,173,174,174,176,182,186,189,192,195,197,200,201,202,102,100,99,103,90,147,208,193,180,166,149,150,144,156,166,173,175,176,180,184,186,188,192,197,198,198,201,202,101,101,101,102,102,104,158,160,156,174,172,173,160,151,147,152,157,164,172,181,190,195,197,196,198,199,203,204,100,101,100,101,105,104,108,122,123,141,152,158,178,173,163,159,156,158,157,149,153,161,179,204,199,203,204,206,100,101,100,101,102,106,107,108,115,125,129,124,153,161,161,154,158,173,182,166,142,126,106,168,207,200,205,206,102,102,101,102,105,108,109,110,114,125,136,138,145,149,146,141,136,172,181,184,161,149,116,96,187,208,203,208,99,101,101,102,104,106,108,108,113,127,137,147,157,159,158,151,150,186,183,184,171,167,146,119,112,200,208,207,100,102,102,101,103,104,108,110,114,124,133,147,154,165,173,164,197,197,170,176,191,175,169,150,108,118,207,209,101,102,102,102,104,105,107,110,114,124,154,154,156,154,161,192,203,188,141,179,191,173,194,163,128,91,134,218,101,102,102,103,104,105,108,111,105,154,195,170,178,172,149,165,163,131,111,171,170,168,203,170,133,110,87,159,101,101,101,101,101,104,106,109,109,148,171,179,204,203,163,130,144,121,86,158,149,176,196,170,140,117,99,94,100,99,99,100,102,105,106,109,112,125,144,159,197,195,155,155,164,153,143,144,150,161,168,160,138,115,99,96,99,99,99,99,101,104,104,107,113,126,138,153,165,150,148,170,168,160,168,171,156,121,116,134,124,111,98,95,98,97,97,99,100,100,102,103,112,127,138,142,156,164,133,154,170,172,178,181,157,116,98,109,109,106,107,97,96,96,96,98,99,99,101,103,111,125,137,142,167,230,144,98,102,157,168,173,150,111,102,108,106,108,110,104,95,95,96,96,97,99,101,103,111,126,136,141,165,218,149,90,49,83,145,158,133,112,111,109,106,108,112,109,95,95,95,96,96,98,100,101,111,126,135,141,161,207,138,78,101,65,92,142,112,104,107,113,114,111,112,108,95,94,95,95,96,98,100,101,109,125,136,141,160,206,128,96,116,93,108,132,147,125,124,123,119,116,110,107,93,92,93,93,94,96,98,99,108,121,132,143,154,213,110,111,141,117,158,114,158,138,130,121,114,111,109,103,89,89,90,91,91,93,96,97,106,121,132,139,163,223,93,118,206,83,179,166,131,104,107,107,106,106,107,107,93,91,92,93,92,92,94,94,104,118,131,137,159,175,84,137,206,80,161,197,137,135,141,83,86,91,88,91,150,148,145,142,139,139,142,142,143,143,146,147,158,136,114,167,156,118,171,175,179,186,185,116,79,81,81,84,117,115,114,112,113,114,118,121,116,116,113,110,113,112,118,122,119,120,122,121,123,119,122,119,94,94,103,109,117,116,116,114,114,114,115,113,113,116,114,111,112,115,115,116,114,115,118,117,115,113,114,116,116,123,129,121,118,118,117,117,115,117,119,116,117,118,122,120,119,122,118,117,120,120,122,120,121,120,121,123,121,124,159,132
11,163,167,171,174,176,178,180,183,184,186,187,188,190,192,194,193,195,196,196,197,198,199,199,200,199,199,199,198,164,168,172,175,177,180,182,183,186,187,189,190,193,194,194,195,196,197,198,200,200,200,201,200,201,201,200,200,165,169,173,176,177,180,182,184,187,187,189,191,194,194,194,196,197,198,199,200,201,201,202,201,201,201,201,201,166,170,173,177,179,181,181,185,187,188,190,191,193,195,195,194,200,199,200,201,201,201,202,202,202,202,202,203,167,171,175,177,179,181,183,186,188,191,192,193,195,196,200,185,168,203,201,202,203,203,203,203,203,203,203,203,168,172,175,178,180,183,185,187,189,192,193,195,196,195,202,191,138,198,204,203,203,205,205,205,204,204,205,203,169,172,175,179,182,183,185,189,191,192,194,195,197,195,210,184,138,198,205,205,205,205,205,205,205,204,204,204,168,173,177,180,182,184,187,189,192,194,195,196,197,197,217,165,146,208,203,205,206,205,205,206,206,205,206,206,169,174,178,181,182,184,187,189,192,194,196,197,197,204,218,155,161,211,205,206,207,207,207,207,207,206,206,205,170,174,178,181,183,185,187,189,192,195,196,196,196,214,195,142,178,210,206,207,207,207,208,208,208,207,207,207,171,175,178,181,183,186,188,190,193,195,194,194,199,219,161,137,197,207,206,207,207,207,208,208,208,207,207,207,171,176,178,182,184,185,189,191,191,191,206,204,165,176,148,151,210,205,207,207,207,208,208,208,208,208,207,207,171,175,179,180,183,188,182,192,208,175,178,194,154,135,135,179,212,206,207,208,208,208,208,208,208,208,207,207,171,175,179,197,216,208,175,146,202,172,138,173,151,127,130,201,207,206,208,208,208,209,209,209,209,208,209,209,172,172,194,203,193,208,175,137,187,154,149,186,144,116,145,212,205,207,208,208,209,210,210,210,210,209,209,209,170,177,197,184,170,199,171,140,183,139,161,178,136,111,164,215,206,208,208,208,209,210,211,211,211,211,209,208,168,188,203,169,148,184,163,136,168,135,170,161,125,110,177,213,206,207,208,209,210,210,210,211,211,211,210,209,168,205,201,173,152,170,137,140,151,129,164,145,118,107,183,213,206,209,210,211,210,213,213,210,211,210,210,210,178,218,193,174,153,153,129,150,131,135,178,127,110,113,164,211,206,204,198,192,187,184,199,215,210,211,210,210,194,219,188,173,155,142,137,164,109,117,156,115,133,149,150,180,193,198,197,190,181,166,155,182,214,211,210,210,197,211,191,178,163,147,144,155,144,157,166,176,180,178,183,190,195,191,179,164,159,164,158,136,201,214,210,211,191,208,195,185,168,155,163,185,198,193,190,191,188,175,180,181,158,155,168,179,197,207,198,181,206,213,211,211,194,215,196,187,170,159,173,197,191,184,190,185,178,156,148,147,172,200,213,216,215,214,215,216,213,212,211,211,208,215,189,180,163,160,174,189,184,182,185,171,149,131,158,197,214,213,211,211,211,212,212,212,212,213,212,212,216,189,175,168,163,165,171,175,180,177,163,133,134,179,210,211,209,210,211,212,212,213,213,212,212,213,213,213,214,184,173,175,172,169,169,162,166,150,124,153,200,211,206,208,211,211,211,211,213,213,213,212,213,214,213,212,210,196,166,184,184,171,164,149,142,128,171,206,204,203,205,207,208,209,208,210,211,211,211,212,210,211,212,216,209,198,162,191,187,166,150,139,122,166,207,199,201,203,204,206,207,208,209,209,210,210,211,211,220,227,228,228
24,132,134,135,137,139,142,143,143,143,146,143,144,143,144,142,141,142,142,141,140,140,139,138,135,135,135,135,134,132,134,137,140,141,142,145,145,144,146,145,146,144,145,144,145,144,143,143,142,141,141,140,139,137,135,134,133,133,135,138,139,145,145,144,146,146,147,147,147,147,146,147,147,146,143,143,143,143,142,141,141,139,135,134,134,135,138,138,144,122,141,147,148,148,149,149,148,148,148,148,147,147,144,144,144,143,143,141,141,140,138,137,136,137,139,142,159,79,128,153,148,148,149,150,150,149,148,148,147,148,147,146,146,144,144,143,142,141,139,139,140,139,139,148,146,68,131,152,150,151,150,152,154,150,148,150,149,149,148,147,147,146,144,143,142,141,140,139,141,139,138,151,142,68,129,154,150,152,151,147,142,155,151,150,151,150,148,147,149,149,150,148,143,143,142,140,141,141,140,153,148,71,131,158,152,155,158,154,103,108,154,153,151,152,150,149,138,124,108,136,148,144,142,142,141,141,142,153,145,75,117,153,150,119,150,164,136,71,82,155,154,152,151,128,91,74,57,105,153,144,144,143,143,142,142,152,141,140,138,138,168,99,109,171,142,75,45,105,162,153,145,94,58,68,112,141,150,147,146,145,144,144,144,151,162,180,157,159,173,120,93,167,134,65,39,60,148,162,128,70,62,144,157,152,150,148,147,147,146,144,147,152,153,187,159,166,176,122,61,124,94,57,26,58,138,145,95,57,122,161,149,151,150,149,148,148,147,146,148,150,160,190,161,176,183,118,58,13,84,121,106,130,140,103,63,83,162,153,154,152,152,151,150,149,147,146,149,150,184,182,142,147,163,94,44,61,164,163,148,133,125,85,56,140,162,155,156,155,154,151,151,149,149,147,148,155,171,154,127,87,89,66,118,185,175,154,134,114,100,75,88,165,157,157,157,156,155,154,152,150,149,149,147,166,168,152,131,103,59,143,201,184,174,150,120,96,82,65,133,168,158,157,158,157,155,155,154,152,150,150,146,176,185,159,131,120,147,205,189,182,168,135,104,83,74,72,158,163,159,159,158,158,157,156,155,154,152,150,148,184,189,166,152,164,201,198,190,177,153,119,85,82,58,106,171,161,161,162,161,159,159,157,155,154,153,150,148,188,191,174,173,195,202,191,182,162,132,97,79,70,70,158,168,164,163,162,161,160,158,158,157,156,154,151,148,187,196,179,187,204,191,169,157,139,108,85,76,63,141,172,165,165,164,162,161,161,159,158,158,157,155,153,150,185,203,183,174,182,174,153,134,118,88,78,59,132,175,166,165,165,165,163,163,162,161,159,158,157,157,153,151,177,195,174,171,181,178,157,137,113,84,51,83,173,168,170,168,166,165,163,164,164,162,161,159,159,157,152,154,164,171,158,174,180,175,157,131,107,71,34,126,176,169,169,170,168,166,164,164,164,163,163,162,161,158,151,156,157,166,174,181,173,166,157,127,99,57,47,154,174,170,170,171,170,168,165,165,164,164,163,162,161,159,150,154,154,177,186,170,168,161,148,123,97,54,58,166,170,169,169,169,168,166,165,165,165,164,163,161,161,159,149,153,153,182,183,159,173,150,139,122,94,62,51,159,171,168,169,169,166,165,166,166,164,162,162,162,159,158,150,154,152,189,184,158,175,146,142,122,89,63,45,148,175,170,170,170,167,165,165,165,164,162,162,162,159,157,150,154,154,190,187,164,175,154,139,119,88,65,41,138,176,169,171,168,169,167,165,165,164,164,163,161,160,159
10,46,47,49,52,55,68,86,102,125,124,115,136,143,149,154,159,163,167,170,173,176,177,179,180,180,182,183,183,46,47,49,52,55,69,88,104,138,128,91,123,147,151,156,161,165,169,172,176,178,180,181,183,183,184,185,185,46,47,50,52,56,71,90,108,129,132,97,83,134,155,159,163,167,171,175,179,181,182,184,186,186,187,187,187,47,48,50,53,57,74,94,111,122,128,103,76,85,152,162,165,170,173,176,181,183,185,187,188,188,189,190,190,47,48,51,53,58,77,97,113,124,129,110,86,68,113,165,168,172,175,180,183,186,189,190,191,191,191,192,192,47,48,51,52,59,79,99,115,126,131,128,105,83,71,142,172,174,179,183,187,189,191,193,193,193,193,194,194,47,48,51,53,60,81,101,117,127,131,141,127,94,71,90,169,178,182,187,189,191,194,194,195,195,195,196,196,47,49,51,55,69,84,104,119,137,107,125,148,120,97,71,146,183,184,188,191,193,194,195,196,197,198,199,199,47,49,51,92,109,73,89,122,144,91,80,149,145,113,79,105,182,186,189,192,194,196,197,198,199,200,201,200,47,49,50,99,101,56,47,77,109,89,57,112,157,117,85,71,163,188,190,193,195,198,200,200,201,202,202,202,47,49,50,62,74,55,44,43,55,82,70,65,136,122,87,66,117,190,192,195,197,200,202,203,203,203,203,204,47,49,52,53,70,72,53,45,46,83,91,71,73,114,99,92,72,166,195,197,198,201,202,203,203,204,204,205,47,48,52,54,72,93,95,74,56,78,106,88,59,62,79,94,66,115,195,199,201,202,203,204,205,206,207,207,46,48,51,55,74,96,115,126,106,72,107,110,83,52,52,69,63,71,178,200,202,203,204,205,206,207,208,208,46,47,49,55,75,96,114,141,143,83,65,131,116,79,49,45,53,56,156,202,202,204,204,206,207,207,208,209,45,46,48,55,76,103,124,146,154,112,41,112,146,109,75,52,48,49,140,201,201,202,203,205,206,207,208,209,45,45,47,54,76,122,143,142,167,135,60,72,162,129,102,71,48,44,124,202,202,203,204,206,206,208,208,209,43,44,46,54,76,115,152,136,158,144,91,98,165,141,119,82,49,43,111,201,203,204,206,207,208,209,209,210,47,46,46,55,77,99,137,136,136,142,113,128,158,128,115,79,54,48,103,201,204,204,207,208,209,209,210,211,81,78,79,82,89,95,114,137,137,153,128,120,155,119,111,81,58,51,92,190,197,200,202,205,207,208,210,212,78,79,82,84,84,81,91,138,145,154,158,118,138,125,113,87,61,52,69,119,126,130,133,137,141,144,148,152,80,81,82,85,87,88,89,140,166,150,164,122,89,120,112,90,66,55,57,92,101,102,103,102,102,102,102,103,81,82,83,86,88,89,89,116,169,160,151,135,88,104,107,88,68,56,54,89,105,103,104,105,105,106,107,107,80,82,84,86,88,89,90,99,155,166,162,164,151,119,101,82,66,56,55,84,104,103,103,105,105,105,107,107,80,82,84,85,87,89,90,90,125,160,165,162,166,140,99,75,66,59,57,82,103,103,103,104,104,104,106,106,79,81,82,84,86,88,89,91,98,144,165,159,155,146,105,75,72,66,58,81,102,103,103,104,103,104,105,106,78,79,81,84,86,88,90,91,92,113,154,154,142,132,113,94,88,73,56,73,100,103,103,106,103,103,104,104,77,79,80,82,85,87,89,90,91,93,133,143,133,120,117,113,103,83,60,63,95,102,103,103,103,104,103,128
10,120,127,138,144,147,151,154,157,160,161,163,166,166,167,168,171,175,174,175,176,177,180,180,181,181,181,183,184,120,128,139,144,148,153,155,157,161,163,164,166,167,168,169,172,158,173,177,178,179,181,180,181,183,183,184,185,122,130,141,145,148,153,155,158,162,164,165,166,169,170,174,185,136,158,182,177,180,182,183,183,185,185,186,185,124,133,142,147,150,154,157,159,162,164,166,167,170,170,180,190,141,141,183,178,181,182,183,185,185,186,187,187,126,133,143,147,151,154,158,161,163,165,167,169,171,171,179,189,151,133,182,179,183,185,185,185,187,188,188,189,125,135,145,148,151,155,159,161,163,165,167,168,173,175,175,190,163,131,178,182,183,186,186,186,188,189,189,190,126,136,146,148,152,158,160,161,164,166,167,178,158,161,178,195,177,132,167,186,183,185,185,186,189,189,189,190,128,138,146,150,154,158,161,163,165,166,168,184,156,120,176,193,181,138,151,190,183,186,186,188,189,190,190,191,130,140,146,150,154,158,161,166,170,169,177,174,153,105,158,191,177,140,141,190,185,187,187,190,190,190,192,192,131,141,148,151,153,164,161,153,149,149,167,186,163,125,135,194,164,138,132,190,186,188,188,190,192,192,192,193,131,141,148,151,152,170,149,118,106,105,107,168,180,140,110,180,147,137,125,187,187,189,190,191,193,193,193,194,133,143,148,152,155,157,138,115,98,112,111,133,183,154,109,159,129,134,120,182,189,190,192,192,193,194,194,194,134,143,147,150,156,160,159,154,146,125,110,119,181,165,118,131,114,129,114,174,193,190,192,193,194,195,195,195,134,143,148,153,157,162,161,184,195,141,93,136,190,171,127,101,110,126,116,163,196,191,193,193,194,195,195,195,136,145,148,153,159,161,159,186,190,145,88,129,204,170,138,99,108,126,117,147,199,191,193,193,195,195,195,195,136,145,149,155,156,171,181,182,197,154,79,135,216,168,143,105,107,122,116,132,198,193,194,194,196,197,197,197,138,146,149,155,152,181,197,178,190,152,83,172,202,170,137,106,98,116,112,119,198,193,194,195,195,197,197,198,138,147,150,155,156,168,196,173,180,148,147,210,181,172,137,108,101,113,103,132,201,192,194,195,197,197,197,198,138,146,150,154,158,161,173,156,165,168,200,207,179,166,143,112,104,110,98,167,199,193,195,196,197,197,197,198,139,146,149,154,158,160,173,153,167,201,213,201,181,159,140,116,105,101,109,191,193,194,196,197,198,198,199,199,141,147,150,153,159,160,183,185,162,192,214,194,176,156,139,117,106,93,134,200,192,194,196,197,198,197,198,199,141,147,150,153,160,157,192,200,162,172,213,193,177,153,139,119,105,92,163,199,193,194,195,197,198,198,198,199,142,147,151,156,161,159,197,204,178,191,207,192,177,154,140,123,103,103,189,193,193,195,197,198,198,198,199,199,141,146,150,155,160,160,204,212,186,195,205,192,179,156,141,125,95,133,200,191,194,196,198,199,198,198,199,200,142,146,151,156,161,159,203,209,192,195,197,196,188,159,140,123,94,164,198,192,194,195,196,198,199,200,200,201,142,145,151,156,160,159,197,202,185,196,194,197,193,163,139,117,104,187,193,193,195,196,197,198,199,200,200,201,142,145,151,156,160,161,187,190,187,196,195,198,191,160,137,107,132,199,192,194,195,197,199,199,199,199,200,201,142,147,152,157,160,163,178,188,196,203,193,193,187,157,134,103,164,197,191,194,196,197,199,199,199,199,200,201
5,55,61,67,73,79,84,89,92,94,98,102,104,106,109,112,111,123,103,105,123,122,123,124,124,124,125,125,124,56,62,67,74,79,85,91,93,95,100,101,107,110,111,114,113,141,85,80,128,122,125,124,125,126,127,127,126,57,62,69,75,81,88,92,95,98,99,109,102,109,114,112,128,133,55,94,129,123,125,127,127,128,129,129,128,58,64,70,77,83,88,93,97,99,101,139,77,90,122,110,149,99,45,117,128,125,128,129,129,129,129,129,129,60,65,71,78,84,87,96,99,96,115,132,57,96,120,125,154,72,65,132,127,128,131,131,130,130,131,131,131,60,67,72,77,92,106,80,102,93,137,100,48,114,115,152,124,57,96,136,129,131,131,132,132,132,133,133,133,61,67,73,74,106,119,56,101,99,150,86,64,118,132,146,74,61,125,131,130,130,132,131,136,134,134,135,134,62,67,74,74,111,135,55,98,111,129,67,84,121,150,125,56,81,137,127,133,153,139,97,129,138,136,136,135,63,67,75,78,106,167,72,83,124,111,61,101,127,157,116,66,109,136,140,152,144,155,100,118,142,137,138,137,63,68,76,83,92,173,134,95,115,120,84,99,141,143,96,71,124,141,164,125,112,155,75,126,141,139,140,139,64,69,77,86,83,158,182,154,117,106,89,90,132,115,82,92,143,156,122,70,109,148,59,121,147,141,141,141,66,69,78,86,89,109,171,179,144,97,75,71,85,83,88,123,150,144,100,54,129,143,60,91,152,141,142,142,64,70,80,87,96,93,122,185,147,106,71,59,62,64,85,129,118,105,73,82,148,127,72,67,147,144,145,145,65,71,80,87,95,102,97,176,158,114,87,64,60,59,74,101,101,73,58,131,156,141,84,68,145,145,146,145,66,72,81,88,97,102,97,173,169,124,105,75,57,58,65,83,85,51,105,148,154,148,92,77,150,147,148,147,66,73,82,90,98,102,100,178,176,138,119,85,57,57,62,83,99,104,130,130,153,145,88,81,152,148,148,149,66,73,83,92,97,104,100,175,180,149,122,82,57,53,68,103,128,137,133,107,114,142,83,90,156,148,149,150,67,74,84,92,97,105,100,169,187,151,123,90,62,50,84,127,134,131,125,100,83,97,69,97,158,149,151,152,67,75,85,94,98,106,98,155,186,150,132,102,70,71,96,123,127,120,110,88,70,69,55,112,157,149,153,153,67,76,87,94,100,106,99,141,183,154,135,107,75,74,108,114,116,99,95,78,66,58,95,149,153,153,155,155,67,77,86,94,101,107,100,143,189,157,123,97,76,62,92,97,97,81,78,69,60,104,154,152,154,155,154,155,68,77,87,94,101,109,98,147,185,139,105,81,69,65,77,86,82,70,65,62,118,157,151,153,155,155,155,155,68,78,88,96,102,110,98,154,177,132,101,75,75,77,71,78,69,62,57,118,158,151,153,154,156,156,157,155,68,79,89,96,104,105,120,161,166,142,110,77,83,86,68,67,60,52,114,157,151,154,156,156,157,156,157,156,69,79,89,98,99,123,178,176,150,123,103,83,84,78,61,58,42,97,157,150,153,156,156,157,157,157,157,158,70,78,89,94,110,168,179,179,166,142,93,75,73,69,58,52,50,143,153,151,155,157,158,157,157,159,158,159,69,78,88,93,158,172,174,164,154,151,135,101,70,57,51,40,66,156,149,152,155,156,158,158,159,159,158,159,69,80,82,129,175,165,165,151,147,134,134,127,90,64,59,49,49,128,151,151,153,155,156,157,158,158,158,159
13,176,178,186,193,199,203,207,211,214,216,219,221,223,224,225,226,226,226,226,227,226,226,226,225,225,222,220,221,177,179,187,194,201,204,208,212,215,217,220,221,224,226,226,227,227,227,227,228,229,228,227,227,226,225,222,221,178,180,188,196,202,206,209,213,217,219,222,223,225,227,229,227,229,229,230,231,232,231,229,229,228,226,224,224,179,182,191,197,202,207,211,216,218,221,225,223,225,224,227,233,230,231,231,232,232,231,230,229,229,227,227,226,179,183,191,200,204,208,213,217,219,222,224,226,255,245,180,213,237,230,234,237,233,233,232,231,231,229,228,227,180,183,191,200,206,210,214,217,220,220,221,239,255,255,204,173,243,238,206,207,238,232,234,234,234,231,229,228,181,185,191,200,207,212,215,218,216,234,229,221,255,255,235,170,194,218,180,124,215,241,234,235,234,232,231,230,181,185,192,199,207,214,215,212,241,255,229,188,241,250,214,131,171,167,137,107,170,247,233,235,234,234,234,232,182,186,195,201,207,208,234,215,248,255,245,183,209,235,193,128,184,146,110,103,163,249,234,237,237,236,235,233,183,188,197,203,205,223,255,223,178,255,255,204,164,243,242,223,207,170,106,82,170,250,237,237,236,236,235,234,185,189,198,206,198,255,255,243,180,213,255,219,131,143,235,242,221,223,181,88,189,251,239,238,237,237,235,235,185,189,197,205,206,255,255,255,201,160,255,224,161,60,128,179,216,241,244,161,197,252,239,241,241,239,237,236,183,188,194,199,211,255,251,255,213,141,216,248,175,79,73,103,200,255,255,237,156,226,244,239,238,236,237,235,182,186,195,196,229,255,249,247,232,153,145,254,181,85,79,191,242,241,246,235,160,165,252,239,240,237,236,236,184,188,198,193,255,255,235,214,230,176,100,219,214,150,215,255,249,241,212,186,188,136,231,244,241,240,238,237,184,190,199,193,255,255,250,197,192,224,136,177,255,255,255,247,235,228,195,163,169,138,224,246,240,241,240,238,183,189,198,195,255,255,255,246,216,222,246,255,255,255,254,234,232,200,175,150,131,175,248,241,241,242,240,237,179,187,195,197,255,255,255,255,244,223,255,255,255,255,243,216,205,182,167,128,139,234,244,240,239,239,238,237,184,191,200,197,255,255,255,255,242,226,247,255,255,255,224,194,180,179,147,127,219,254,247,248,245,243,243,242,162,163,171,156,248,255,255,255,246,233,250,255,255,218,200,187,185,163,126,134,177,173,173,170,169,169,167,168,124,125,131,111,184,255,255,255,251,242,247,255,241,200,182,190,177,140,125,121,116,113,113,112,111,111,109,109,135,137,138,132,150,255,255,255,252,236,237,255,244,190,166,170,148,127,128,129,130,126,124,124,123,122,121,121,134,135,138,139,134,255,255,255,255,238,230,255,238,171,152,148,129,126,129,126,126,128,126,124,123,123,123,121,138,138,138,140,125,246,255,255,255,247,223,249,235,167,148,135,125,130,130,126,126,126,127,125,124,125,123,121,139,142,141,144,123,230,255,255,255,255,218,238,239,175,143,125,125,132,129,127,125,126,126,124,123,124,122,121,138,140,141,145,128,198,255,255,255,255,218,228,241,177,138,120,126,133,131,128,126,128,125,123,125,124,122,113,139,140,139,139,135,159,255,255,252,236,217,219,231,177,137,117,128,133,129,128,127,131,126,122,125,126,112,201,139,139,141,141,140,138,255,255,229,227,231,209,217,183,139,115,125,133,130,129,128,133,125,123,125,114,169,255
6,214,214,215,216,217,218,218,218,218,219,221,220,219,219,216,216,216,217,216,215,214,213,213,211,209,210,208,207,214,216,216,218,219,220,221,221,221,221,222,222,221,222,218,217,217,218,217,217,215,215,215,214,211,210,212,210,216,219,220,220,221,222,222,222,222,222,222,222,222,222,220,219,219,218,218,218,216,217,216,215,213,212,212,211,217,219,222,220,222,223,222,222,225,223,224,223,222,222,222,221,222,220,219,219,216,217,217,217,215,212,213,211,219,221,223,222,224,226,226,226,227,226,225,225,224,224,222,222,221,221,222,221,220,220,218,210,209,221,211,211,220,221,222,223,224,226,227,227,227,227,225,225,225,226,224,224,226,225,223,219,215,204,202,177,217,250,193,201,222,223,224,225,229,228,228,228,228,228,229,230,228,226,222,218,208,198,202,208,203,193,194,178,196,212,165,203,224,225,226,227,231,232,231,230,229,229,224,222,221,216,200,190,165,173,182,203,190,177,153,139,135,154,194,218,224,226,228,230,231,233,234,232,231,223,192,189,174,185,202,191,180,150,161,157,137,121,124,149,178,209,220,216,227,229,229,232,232,235,235,231,225,214,200,200,165,115,147,145,129,105,116,125,155,179,213,228,227,223,218,218,229,231,231,235,236,235,231,210,214,216,219,205,148,99,82,80,85,117,170,217,232,232,225,223,223,222,220,220,233,233,234,237,232,226,220,210,203,209,217,187,128,95,85,91,180,218,237,233,230,228,227,227,225,223,222,221,234,233,233,230,224,219,214,207,196,205,204,194,173,111,87,89,213,243,227,233,232,231,231,229,226,223,224,224,234,232,230,226,220,209,208,205,199,201,205,210,190,126,91,85,101,237,234,233,232,231,231,229,228,226,226,224,228,229,233,224,214,207,208,207,203,204,206,202,187,136,89,93,77,162,250,234,234,234,231,230,230,228,228,226,240,243,235,223,214,208,206,208,204,198,203,205,200,167,97,85,90,90,225,241,235,235,233,231,230,230,229,227,249,245,228,218,220,210,205,205,208,209,213,212,203,163,104,86,84,78,220,243,236,236,236,233,233,231,231,228,243,232,222,224,217,209,204,204,204,195,193,189,173,142,110,93,74,151,253,236,238,237,236,236,234,233,232,229,247,228,217,220,206,204,209,201,195,182,174,170,155,131,116,105,74,148,255,238,241,238,237,236,235,236,234,231,249,239,214,200,200,206,210,205,193,182,172,172,157,124,115,116,95,82,230,248,242,239,239,237,236,236,235,232,230,232,203,185,189,199,199,196,184,169,150,144,123,106,108,123,98,82,230,249,244,242,239,237,237,237,235,234,108,169,176,163,174,186,185,174,157,142,128,114,74,88,110,117,89,180,254,245,245,244,241,240,238,239,237,236,61,73,119,139,152,166,160,143,121,106,95,89,80,99,112,121,204,255,247,246,246,244,243,240,239,239,238,236,65,64,60,72,88,112,124,115,126,156,184,150,128,132,176,233,255,248,248,246,246,245,244,242,242,240,238,237,58,61,60,35,30,43,49,58,230,255,255,255,250,252,255,255,251,251,249,247,246,247,246,244,243,242,238,237,54,52,64,52,27,36,17,117,255,252,253,253,253,253,250,251,251,249,248,250,247,246,246,244,243,241,239,238,51,49,59,58,28,33,25,215,255,251,255,254,253,253,252,252,251,250,249,249,247,247,245,244,243,241,239,239,48,46,59,60,33,18,97,255,251,255,254,254,254,255,254,253,252,251,250,250,248,248,246,245,244,242,240,239
15,54,53,54,56,57,58,61,72,83,92,100,108,115,119,120,123,127,131,136,140,143,146,147,150,152,154,155,158,53,53,55,56,56,57,62,72,82,92,101,109,115,119,120,123,127,132,137,141,144,147,149,152,154,156,157,160,53,54,54,56,57,57,62,74,84,94,101,111,117,120,119,123,128,133,138,141,145,148,150,153,155,158,160,161,53,54,54,56,59,58,63,73,85,94,103,111,117,121,121,123,129,136,139,142,146,148,151,154,156,159,160,162,53,53,56,54,55,57,63,75,87,95,104,112,117,121,122,124,130,135,139,143,147,149,152,155,157,160,160,162,55,55,50,67,83,65,65,75,87,97,105,113,120,122,123,126,131,136,141,144,148,150,153,155,158,160,161,163,55,53,52,147,121,98,96,89,85,90,103,110,109,110,117,127,135,139,143,145,147,151,153,156,159,161,162,164,54,52,60,136,104,89,89,86,75,91,91,94,87,88,89,96,107,124,138,148,153,154,154,156,159,160,162,165,54,56,52,76,76,60,66,56,60,84,74,77,72,93,95,89,89,92,101,108,116,137,160,157,159,161,163,166,55,53,55,54,55,55,58,52,57,62,58,55,61,92,90,87,90,93,102,89,74,68,110,168,158,162,165,167,53,54,54,57,57,58,65,77,86,87,89,86,77,78,74,71,66,97,111,100,86,83,51,116,172,159,166,168,53,54,54,55,56,57,64,78,88,101,109,117,122,103,69,65,99,116,114,107,82,99,78,45,136,172,164,168,54,54,55,55,57,57,66,78,89,96,111,130,118,101,81,110,149,101,116,89,116,106,93,70,52,158,170,167,53,53,54,55,57,55,66,80,84,116,154,123,89,82,68,79,133,80,74,124,131,99,125,96,48,74,178,168,52,52,52,52,55,54,64,79,78,150,154,84,74,84,82,60,81,44,74,165,91,99,132,109,74,31,119,182,52,52,51,52,53,54,64,80,78,137,125,72,82,100,105,97,74,47,88,120,58,95,132,117,83,49,46,135,51,51,50,51,53,54,65,79,79,132,114,53,93,106,116,104,70,66,73,76,83,101,107,99,76,51,42,49,50,50,50,52,53,53,64,79,78,133,163,87,82,107,115,95,60,62,72,76,89,94,80,59,56,48,43,46,49,49,50,51,51,52,63,79,80,133,133,157,115,76,67,60,56,68,70,74,81,95,79,47,46,46,46,50,49,49,48,51,50,52,62,77,81,170,134,137,141,99,61,19,26,56,75,79,89,99,75,48,46,47,49,51,45,47,47,48,48,50,62,75,84,117,130,145,132,122,94,41,0,8,36,88,85,81,59,48,50,52,50,49,48,47,45,46,45,48,60,73,85,91,103,116,108,111,93,84,26,16,33,85,99,78,63,61,63,62,55,50,100,96,92,88,90,92,92,95,97,101,105,106,90,84,110,137,64,18,47,48,93,105,92,78,69,61,53,51,80,79,79,81,84,82,81,80,73,72,75,79,82,78,87,151,68,57,62,47,60,72,73,66,58,53,49,47,84,83,83,84,83,82,84,86,80,79,83,84,85,86,79,94,74,88,88,83,81,68,54,51,49,45,42,43,88,86,85,86,86,86,85,87,88,87,89,88,87,89,90,85,90,87,89,90,106,99,76,59,52,46,42,43,90,90,87,87,89,87,88,89,89,89,88,89,88,88,88,89,89,89,87,86,101,107,97,69,63,74,63,47,89,88,87,86,89,90,90,90,89,90,91,89,89,89,88,88,89,89,88,90,79,108,142,90,98,104,87,70
0,162,165,168,170,173,174,176,178,178,179,180,179,179,179,179,180,180,179,178,178,178,177,177,177,178,177,174,173,164,165,169,171,174,176,178,180,180,181,182,182,183,181,181,182,181,181,180,180,179,179,178,178,178,178,176,175,165,167,171,173,175,178,180,180,181,182,183,184,185,183,184,185,184,182,183,182,180,180,180,180,177,177,177,176,168,169,173,174,177,180,181,182,182,184,186,186,187,189,185,185,186,188,184,181,181,182,182,180,181,179,178,178,169,172,174,175,179,182,183,183,186,189,188,183,180,166,184,187,155,153,187,187,184,182,184,183,182,181,179,179,171,173,175,177,181,182,184,184,188,175,176,212,178,119,116,194,152,83,150,180,175,164,143,188,183,182,180,180,173,175,176,179,182,183,185,186,198,161,118,194,199,150,98,193,164,112,65,89,138,182,101,177,188,183,184,182,172,175,178,180,182,184,183,193,215,196,141,123,208,154,100,190,167,116,58,117,136,186,128,117,192,183,186,183,172,176,179,181,184,186,185,208,206,205,173,90,171,162,91,186,176,104,83,148,102,178,164,105,133,190,185,185,174,177,180,182,183,185,191,208,158,197,162,70,129,168,93,182,166,83,84,144,67,144,180,147,89,137,197,183,177,180,182,183,185,181,204,212,150,186,131,62,128,144,82,153,136,72,77,131,76,176,206,160,84,107,198,183,178,180,182,184,187,185,213,205,166,178,114,61,124,115,69,115,113,68,73,116,95,203,197,152,69,151,195,187,179,180,182,186,186,192,223,190,140,145,133,68,103,107,63,104,105,45,123,136,153,196,174,112,77,192,189,188,180,182,185,189,188,193,230,207,165,112,94,48,115,133,64,125,116,100,169,159,161,176,135,72,125,204,188,189,180,183,187,189,187,198,229,203,180,144,92,66,101,110,60,102,173,195,174,160,130,130,106,57,171,200,192,190,181,184,188,190,188,207,230,200,183,164,131,87,89,117,131,182,208,193,165,149,117,89,81,65,193,196,194,193,183,185,188,192,189,210,230,203,183,166,146,96,91,135,188,218,210,186,153,137,102,77,50,114,207,193,196,195,184,186,188,192,188,206,229,209,185,171,161,116,103,130,201,215,207,175,142,120,88,59,60,191,200,195,197,196,185,187,189,192,189,201,227,212,189,173,165,134,105,140,211,216,192,159,126,100,75,43,145,207,195,197,197,196,185,188,189,194,192,197,226,214,196,173,159,136,104,153,208,204,171,147,114,85,48,100,209,198,199,197,197,198,184,188,191,194,193,198,226,210,194,175,152,129,112,170,190,171,160,137,102,64,52,186,204,201,201,200,198,198,186,188,191,194,192,197,228,208,197,176,145,126,133,173,152,149,142,115,86,40,143,212,200,202,202,201,200,198,185,188,189,195,186,212,231,212,210,179,149,135,150,164,133,138,118,97,49,102,211,204,205,203,203,202,200,199,186,189,193,191,192,233,224,214,207,173,147,142,152,142,128,125,107,68,76,201,209,205,204,203,203,202,201,200,185,188,194,186,212,225,202,204,199,158,139,147,139,125,119,106,76,65,182,210,207,205,204,204,204,203,201,200,185,187,190,179,222,210,179,170,171,145,133,142,126,114,106,84,60,156,208,204,205,204,205,204,203,202,202,201,184,191,182,186,227,198,168,145,140,121,137,143,103,102,99,53,118,209,206,205,206,206,205,204,203,203,202,201,186,191,175,211,225,186,149,140,126,103,142,129,86,101,72,65,186,207,205,206,206,207,205,204,203,203,203,203
22,25,61,79,82,86,89,93,104,119,129,136,139,142,146,149,152,156,157,159,162,163,163,165,164,163,164,163,162,24,64,80,83,87,91,94,105,120,131,137,140,143,147,151,154,157,159,162,146,157,165,166,166,165,165,163,162,27,69,81,84,88,92,94,107,122,133,138,142,144,149,153,157,158,161,170,113,138,168,160,153,167,166,165,164,31,73,82,85,88,92,96,108,123,133,140,144,148,146,155,159,159,168,172,108,142,171,145,116,165,167,167,166,35,75,82,86,90,93,97,110,124,134,141,156,155,112,152,160,161,178,172,107,150,178,136,115,169,170,168,168,41,77,83,87,90,94,98,111,126,138,143,157,146,95,147,162,162,185,168,109,160,184,132,126,173,172,171,170,47,80,84,88,91,94,100,112,128,138,145,153,150,99,139,164,165,182,156,109,169,185,127,142,175,174,173,172,52,81,85,88,92,95,100,115,128,140,147,151,154,106,126,166,167,174,143,106,175,179,116,154,177,175,174,174,57,82,86,89,93,96,102,117,129,141,148,150,157,117,111,164,170,168,133,109,186,162,107,165,179,177,177,177,61,83,86,89,93,96,102,117,132,142,148,149,159,123,96,153,170,155,124,112,190,145,112,175,179,179,179,178,67,84,87,90,93,96,103,119,133,143,149,149,162,147,104,136,163,142,114,127,188,130,121,179,180,181,181,179,72,85,87,89,93,97,104,120,132,143,149,151,161,167,113,112,148,142,132,169,177,116,134,182,182,182,182,182,78,86,87,89,93,97,105,120,133,144,151,160,141,143,101,101,135,160,184,189,160,105,150,184,183,183,183,183,81,86,87,90,93,97,105,121,133,144,155,168,141,127,105,113,139,173,194,185,147,102,165,185,185,185,185,184,83,86,88,91,94,98,106,121,133,144,153,162,172,168,132,95,114,154,176,174,143,101,172,187,187,186,186,186,85,86,87,90,94,97,106,123,135,145,153,171,183,183,135,97,95,121,142,150,129,99,173,189,188,187,187,187,86,87,88,90,94,98,107,123,136,147,153,183,173,156,142,123,100,99,106,110,113,96,165,191,190,190,189,189,87,87,88,91,95,99,107,124,137,147,154,183,170,146,152,146,123,104,96,88,96,92,158,192,191,192,190,190,89,88,88,90,94,98,108,124,137,147,153,186,182,157,147,158,146,133,110,87,85,89,155,194,193,193,193,192,88,87,87,90,93,98,109,125,138,149,154,187,188,165,153,194,160,145,115,92,87,89,156,195,194,194,194,193,87,87,86,89,93,97,109,125,139,149,155,179,197,162,169,212,166,138,113,97,93,92,163,197,195,195,194,194,88,88,87,90,93,98,110,126,139,150,155,170,192,153,177,202,166,136,114,103,95,96,171,197,197,197,196,196,88,88,88,89,93,99,111,127,139,150,155,163,181,155,173,189,169,145,116,103,97,99,173,197,197,198,197,197,88,88,88,91,94,99,112,127,139,149,155,159,173,169,174,181,162,139,114,100,97,99,173,199,199,200,200,200,88,87,88,91,94,98,113,127,140,150,155,158,168,176,167,166,153,123,108,100,95,93,170,201,201,201,200,200,89,86,87,89,93,98,113,128,140,151,155,158,166,174,156,148,149,118,109,103,93,85,159,202,201,201,200,200,87,86,86,88,92,97,111,127,140,150,154,159,166,167,144,147,164,149,129,107,94,82,137,200,199,200,200,199,86,84,85,87,90,95,110,126,139,149,153,158,165,171,170,176,176,162,146,115,91,82,108,191,198,200,200,199
15,150,151,144,96,160,119,33,91,100,100,102,106,110,116,131,143,152,159,162,165,170,176,181,185,189,192,194,195,155,156,142,99,167,110,34,95,100,101,104,108,111,116,133,144,155,160,163,166,172,178,183,187,190,193,195,198,159,161,138,104,175,101,38,99,99,101,105,109,112,118,134,146,157,162,165,169,175,180,186,190,192,195,198,200,162,166,134,111,181,90,42,102,99,102,105,110,112,120,137,147,157,165,167,169,176,181,186,191,194,196,199,201,164,171,128,119,184,79,49,104,100,103,106,111,111,121,137,148,158,166,169,172,178,184,189,192,195,199,200,203,167,175,122,130,184,71,58,106,101,105,108,112,113,121,137,150,161,167,170,174,180,186,191,193,197,201,203,206,170,179,117,140,182,54,56,100,96,98,103,109,112,123,139,152,162,169,171,175,183,188,192,195,200,202,205,206,173,183,115,166,185,125,122,143,135,131,126,120,116,123,138,151,162,171,173,176,183,187,193,197,200,203,206,207,177,179,132,200,167,166,163,188,174,171,173,178,161,146,135,148,158,160,163,180,184,188,194,197,201,206,207,208,177,179,117,163,120,126,126,158,141,136,170,186,163,141,146,175,183,163,133,131,190,191,194,200,203,206,208,211,179,179,107,174,136,74,99,124,120,114,152,170,148,124,161,187,178,176,185,117,133,197,198,200,205,208,210,212,185,176,105,194,153,30,95,106,104,107,111,137,137,157,200,177,164,191,195,172,114,121,203,204,205,209,212,215,190,172,107,200,139,33,103,108,106,104,115,152,155,158,195,159,156,187,174,189,147,98,121,207,210,207,214,216,193,167,114,208,129,32,106,107,105,104,194,180,130,119,128,123,161,170,171,170,151,130,88,115,201,216,213,217,199,161,120,215,117,35,110,107,102,114,203,192,146,110,74,83,164,186,176,134,124,121,110,86,99,197,221,217,206,156,131,219,107,39,112,106,105,93,167,212,178,162,141,148,159,161,150,109,98,106,101,100,84,101,215,220,212,148,141,219,95,44,116,104,104,145,191,195,189,162,143,145,138,135,142,118,97,102,98,94,93,75,138,234,214,141,152,217,85,50,118,95,172,195,179,158,177,148,106,122,120,118,121,106,97,103,100,96,93,92,83,171,216,135,160,216,76,55,118,98,182,161,137,126,142,116,94,98,95,94,95,97,104,118,116,96,90,95,92,91,217,129,172,214,64,62,119,102,123,119,98,121,118,95,90,105,92,81,112,116,125,136,121,90,88,95,96,92,218,125,183,209,57,68,117,105,103,104,104,138,187,149,116,113,110,96,105,117,124,124,108,89,90,97,100,98,217,122,195,205,49,74,117,104,105,106,109,107,128,131,101,82,122,145,87,94,123,116,100,95,96,104,100,97,217,119,210,204,42,81,117,104,103,106,107,110,113,130,143,154,165,146,126,121,108,101,98,101,105,104,100,98,214,119,220,198,36,86,117,103,103,104,106,107,116,136,153,165,180,167,88,109,132,135,124,114,98,85,79,75,208,123,230,188,31,93,116,104,103,104,105,106,114,134,150,161,182,140,79,74,145,122,81,61,45,40,40,31,200,125,236,177,29,97,112,101,101,102,103,105,114,133,150,163,182,118,91,92,45,52,54,42,38,35,31,26,191,133,243,165,28,101,110,99,99,100,102,103,112,132,149,166,170,104,85,91,69,31,60,46,39,35,31,26,183,143,248,154,28,105,109,99,98,98,101,102,111,130,147,168,152,90,88,85,84,23,45,46,34,29,31,26
11,129,133,138,142,144,147,149,152,154,156,158,159,161,163,165,165,167,168,168,170,171,172,172,172,172,172,171,170,130,134,139,142,145,149,151,153,155,157,159,161,164,165,166,167,168,170,171,172,173,173,174,173,174,174,173,172,131,135,140,143,145,149,152,154,157,158,160,162,165,166,166,168,170,171,172,173,174,174,175,174,175,175,174,174,132,137,141,145,147,149,151,154,158,159,161,163,165,167,167,166,169,172,173,174,174,174,175,175,175,176,176,176,133,138,142,145,148,150,153,156,159,161,163,165,166,168,170,156,139,172,175,176,176,176,177,177,176,177,177,177,135,139,143,147,149,152,154,158,160,163,164,166,168,169,174,157,110,167,176,177,177,178,179,178,178,178,178,177,135,140,143,147,151,153,155,159,161,164,166,167,169,169,181,151,108,167,178,178,178,178,179,179,179,178,178,178,135,140,145,148,151,153,157,160,163,165,167,168,169,171,186,135,115,175,178,179,180,179,180,180,180,179,180,180,136,141,146,150,151,154,157,160,163,166,168,169,170,178,185,126,130,179,180,181,181,181,181,181,181,181,180,180,137,142,146,150,152,155,158,160,164,166,168,168,170,186,162,112,147,180,181,181,182,182,182,182,182,181,181,181,138,143,146,150,153,156,158,161,164,166,167,168,170,185,130,106,165,180,181,181,181,182,182,182,182,181,181,181,138,143,147,150,154,155,159,162,163,163,174,172,136,141,113,119,178,181,181,182,182,183,183,182,183,182,182,181,138,143,147,151,156,159,153,160,175,147,147,159,121,98,99,146,182,181,182,182,182,183,183,183,183,183,182,182,138,143,150,169,185,179,144,117,167,138,109,139,113,86,95,168,181,181,182,183,183,183,184,184,184,183,184,184,138,142,163,172,166,178,142,105,152,121,113,146,106,78,109,180,181,182,183,183,183,185,185,185,185,184,184,184,138,146,167,155,141,166,138,105,143,107,126,139,96,74,128,184,182,183,183,183,184,185,186,186,186,185,184,183,137,158,171,139,116,149,126,101,128,100,133,123,83,72,142,184,181,182,183,184,185,185,186,186,186,186,185,184,139,176,171,141,117,132,101,101,111,93,127,105,74,69,147,184,182,183,184,184,183,185,187,186,186,185,185,185,150,189,166,141,118,115,92,109,91,95,134,88,68,75,130,179,181,178,172,164,159,156,170,185,186,186,185,185,166,190,161,140,120,105,99,121,74,80,115,82,93,109,119,150,165,170,167,158,148,134,125,150,185,187,186,185,169,183,164,147,128,110,108,120,108,121,133,140,145,144,149,158,162,158,148,134,129,131,124,111,172,187,186,186,164,181,168,153,135,120,129,152,163,160,158,159,155,143,145,145,128,127,138,151,167,177,167,153,179,187,187,186,168,186,169,156,137,125,140,165,163,156,160,154,143,120,115,118,142,169,184,187,188,189,188,188,187,187,187,187,182,185,161,148,130,127,141,158,154,152,151,135,113,100,127,165,184,186,187,187,187,188,188,188,188,188,188,188,189,162,145,136,130,131,138,143,147,142,125,100,103,145,178,184,185,186,186,187,188,189,189,188,188,188,188,188,187,157,142,142,140,135,135,128,129,113,93,120,164,181,182,183,185,186,186,187,188,188,188,188,188,189,188,188,183,166,136,151,152,138,128,112,103,96,136,171,177,178,179,181,183,184,183,185,186,187,187,187,187,188,189,192,182,169,133,158,155,133,114,99,86,129,172,173,175,177,178,180,181,183,183,184,185,185,186,187,196,203,205,206
7,157,184,200,209,216,221,226,226,228,231,235,237,237,238,239,240,241,241,241,240,237,237,235,234,233,231,229,228,160,186,202,210,217,222,226,228,230,233,237,238,240,239,240,241,243,243,242,241,240,239,237,236,235,232,230,230,162,189,202,212,218,224,227,229,232,235,238,239,241,242,243,244,245,245,245,243,242,240,239,238,236,235,233,232,163,190,203,213,220,225,229,231,235,237,238,239,242,245,245,245,246,245,245,245,245,242,241,241,240,237,236,234,163,191,203,213,221,226,230,232,235,239,239,241,244,246,246,246,246,246,246,246,246,246,246,244,240,239,237,235,165,192,203,215,222,227,230,232,235,238,240,242,245,248,251,252,253,254,252,250,247,242,238,236,242,242,240,237,165,192,204,214,221,228,232,236,240,243,246,244,244,239,231,222,207,204,200,204,187,175,208,211,203,244,239,239,167,193,205,215,222,227,231,221,211,204,203,201,193,177,172,177,147,158,163,156,156,158,206,201,174,247,245,240,170,195,206,217,223,231,213,176,167,175,177,183,181,170,159,149,145,146,149,144,150,144,145,138,169,219,235,245,171,196,204,216,229,225,201,160,150,158,155,157,159,161,163,167,168,147,154,166,157,152,146,138,144,173,174,234,172,195,210,221,221,207,191,166,148,144,156,169,179,183,182,175,164,134,142,165,149,136,135,125,134,162,143,221,170,210,220,216,206,201,198,185,180,181,188,193,180,177,172,165,140,125,125,128,120,117,118,119,125,140,182,245,211,223,214,212,212,209,188,159,147,154,167,165,156,152,137,124,118,139,160,183,201,217,227,233,241,245,251,248,232,221,219,218,211,189,175,130,122,140,137,121,111,133,193,218,237,249,255,255,255,255,255,255,255,252,248,247,226,222,221,207,183,178,160,123,118,111,96,83,90,104,135,153,252,255,255,255,255,255,255,254,253,251,250,248,224,225,210,190,178,170,162,153,130,104,102,107,105,98,89,64,175,255,255,255,255,255,255,255,255,253,250,249,226,214,189,177,171,167,181,186,149,109,107,111,110,107,108,86,180,255,255,255,255,255,255,255,255,253,251,249,209,187,167,166,165,162,167,163,124,101,98,93,99,100,101,77,135,255,255,255,255,255,255,255,255,255,253,249,180,170,165,163,157,145,148,132,107,91,78,87,104,107,103,85,169,255,255,255,255,255,255,255,255,255,253,250,173,169,166,159,147,128,120,123,120,101,100,115,118,109,86,186,255,255,255,255,255,255,255,255,255,255,253,249,165,153,143,136,128,124,131,145,137,114,104,98,98,103,170,255,255,255,255,255,255,255,255,255,254,253,251,248,154,144,141,138,135,135,140,144,124,95,116,165,202,240,255,255,255,255,255,255,255,255,255,255,253,251,249,248,151,146,146,141,131,126,120,109,104,160,237,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,249,248,124,128,124,120,114,111,125,169,216,253,253,250,252,253,255,255,255,255,255,255,255,255,255,254,253,252,249,247,87,52,120,174,176,199,226,242,243,241,246,249,252,254,255,255,255,255,255,255,255,255,255,255,252,250,248,246,74,20,161,238,231,239,239,238,242,247,251,254,255,255,255,255,255,255,255,255,254,253,254,252,248,246,247,245,45,28,171,204,190,191,190,190,190,190,188,184,183,185,185,184,180,176,176,175,170,168,166,162,159,154,128,118,20,47,134,141,140,144,142,142,145,144,141,142,142,143,144,140,140,139,137,138,138,137,135,132,131,96,50,47
15,144,153,160,166,171,172,175,180,184,187,191,194,197,200,202,205,207,209,211,212,213,214,215,217,217,217,219,218,145,154,161,167,172,174,176,181,186,189,192,196,198,200,204,207,210,212,213,213,214,216,216,217,218,218,220,220,147,155,162,169,175,176,178,183,188,191,193,197,200,202,205,208,210,213,213,214,215,217,217,217,218,219,220,221,148,157,163,170,174,176,178,184,189,191,195,199,201,205,207,209,211,214,215,216,217,218,220,219,220,222,221,222,149,158,165,171,175,175,179,186,190,193,197,200,202,205,208,210,213,215,217,217,219,220,221,221,222,224,223,223,150,158,167,173,176,178,181,187,192,196,199,201,203,207,209,212,213,216,217,218,219,221,222,223,224,224,225,225,150,159,167,173,175,179,182,188,192,197,199,203,205,209,210,212,215,217,218,219,221,223,224,225,225,225,226,227,151,160,167,177,223,205,192,190,192,198,201,205,207,212,212,215,218,219,220,222,223,224,226,226,227,227,227,228,152,163,166,188,245,212,202,201,196,204,203,202,201,205,212,218,219,221,222,223,223,225,225,227,228,229,229,229,154,163,170,177,202,201,195,190,190,208,206,203,197,186,196,205,210,216,222,223,227,230,229,228,230,230,231,231,154,163,172,178,180,183,181,176,181,194,196,197,196,198,203,197,199,204,213,213,206,214,228,233,229,231,232,232,156,165,173,179,183,186,189,194,195,196,193,186,185,194,198,193,190,187,205,214,205,194,186,217,238,231,233,235,157,167,174,179,184,186,190,196,201,204,207,205,202,200,194,185,177,186,204,212,219,193,186,175,210,239,234,236,157,167,175,181,185,187,191,196,200,205,209,212,216,217,216,210,203,213,211,207,212,206,195,200,173,202,241,234,159,168,177,182,187,189,192,197,201,206,209,213,215,220,219,228,250,231,206,173,211,211,192,211,195,165,207,246,160,169,177,183,187,188,192,198,202,207,211,214,232,210,192,205,229,225,191,146,205,210,196,210,208,189,158,208,161,171,178,184,189,189,193,199,204,208,211,220,237,207,181,210,245,234,189,172,191,200,206,207,201,188,167,154,163,172,179,186,189,190,194,200,205,210,213,219,218,189,184,217,245,228,185,180,181,180,193,198,180,180,173,162,163,172,181,187,190,192,195,200,205,211,214,216,224,223,193,211,233,210,189,189,191,188,193,195,171,166,173,170,163,172,181,187,188,191,196,201,207,211,215,216,227,255,231,168,154,156,169,193,199,197,202,199,178,172,173,171,164,174,182,187,189,192,197,203,208,211,217,219,222,255,242,183,118,96,89,108,156,196,198,195,184,185,176,164,164,174,183,189,190,192,198,203,208,213,218,219,221,255,240,178,135,127,106,83,86,165,187,180,172,159,144,129,165,174,183,189,190,192,198,205,209,214,218,222,220,255,240,159,164,166,154,125,104,111,144,135,123,111,107,100,165,175,184,189,190,192,199,206,210,215,218,223,220,251,251,168,194,191,181,176,150,118,112,109,108,104,105,103,165,175,184,189,191,194,199,205,210,214,218,223,221,243,255,176,187,201,187,167,133,114,113,111,112,106,106,103,165,175,184,189,190,192,198,205,210,214,218,221,222,230,255,182,184,243,220,156,122,109,112,112,111,107,106,105,166,176,184,189,190,193,199,206,211,215,218,222,223,231,249,162,199,248,229,149,115,110,112,111,109,106,108,107,167,177,184,190,191,195,200,206,211,215,219,223,224,233,210,184,237,238,239,152,123,117,115,109,107,108,109,109
8,134,139,143,147,149,153,156,157,158,161,163,164,164,165,166,165,165,164,164,163,162,161,161,158,158,158,156,155,136,141,146,148,151,154,156,159,162,164,165,165,167,168,168,167,167,166,166,166,166,164,163,163,161,159,157,157,137,143,147,150,154,155,159,163,163,166,167,169,169,170,171,170,169,168,169,169,168,166,165,165,163,161,161,161,138,144,148,152,156,158,160,165,168,168,170,171,172,172,171,172,171,171,171,171,172,169,168,166,165,164,164,162,141,146,149,155,158,159,171,150,146,176,172,172,173,173,173,173,173,172,173,173,172,171,170,169,167,167,165,164,142,148,153,156,160,159,185,144,94,173,174,175,175,175,176,175,176,176,175,175,174,172,172,173,172,170,168,166,144,150,155,158,162,159,184,157,74,154,180,176,178,178,178,178,178,178,177,176,175,173,173,173,172,171,169,167,145,149,154,159,162,161,181,179,74,136,185,178,181,180,178,181,181,179,179,178,178,178,176,174,173,172,172,172,147,151,156,161,164,165,172,176,80,114,190,179,181,183,185,181,181,182,185,179,179,178,178,177,175,174,173,172,149,153,157,162,166,170,170,191,126,93,186,183,180,162,155,185,181,146,141,188,183,185,178,180,179,177,174,172,148,154,158,163,166,170,169,196,149,73,165,186,201,180,125,148,205,152,88,138,148,146,183,179,181,180,177,176,151,155,159,164,166,172,171,190,158,98,127,191,219,215,156,92,195,164,154,98,98,89,118,192,179,180,179,179,152,156,161,166,169,175,174,186,191,139,116,176,212,224,184,88,144,169,165,149,120,117,80,162,185,179,180,179,153,159,163,166,171,177,179,180,198,135,129,167,174,210,189,102,103,161,121,175,177,180,161,88,160,187,179,179,156,161,165,168,173,176,180,180,194,173,156,190,176,177,190,109,72,139,69,138,173,180,170,84,125,196,180,182,157,162,166,171,174,178,181,180,204,214,152,150,169,149,188,134,68,100,72,84,146,182,169,88,118,199,182,183,158,163,168,173,176,180,182,179,205,188,118,124,137,115,164,199,107,67,65,79,171,202,182,90,112,200,182,184,159,164,169,173,176,179,184,182,200,201,149,121,114,106,128,150,98,83,56,87,180,207,183,92,113,200,184,187,158,164,170,174,178,179,184,183,205,220,175,128,112,116,98,137,152,101,80,147,182,209,172,87,96,200,186,189,159,165,172,175,179,180,185,182,211,217,177,141,105,93,104,175,186,156,168,192,175,177,137,78,77,196,188,188,162,167,173,176,180,181,187,184,214,216,185,162,130,93,108,167,194,218,208,186,158,132,108,61,104,200,187,189,162,168,173,176,181,184,188,185,217,216,187,170,148,108,101,161,218,223,212,182,143,101,79,50,167,196,189,189,163,169,174,179,183,186,189,186,213,218,195,173,162,125,118,172,225,217,194,167,127,83,43,104,203,190,191,190,162,168,174,178,181,184,189,189,206,221,204,184,174,139,122,190,218,196,167,140,105,65,48,179,197,194,192,190,161,167,172,175,179,183,188,188,198,220,208,189,178,150,125,190,203,174,147,114,88,42,111,204,190,192,191,188,162,167,173,176,180,185,189,189,195,221,213,191,172,139,121,177,178,159,138,102,67,51,187,196,194,191,191,190,163,168,173,179,181,184,188,190,196,224,205,180,153,116,124,168,148,132,124,96,37,130,207,193,195,193,193,191,164,170,174,179,182,184,189,186,198,225,196,174,136,125,134,157,134,115,110,68,74,200,196,195,195,194,194,191
12,171,171,173,174,175,177,177,177,176,176,176,176,176,175,175,173,174,174,173,173,173,172,171,171,170,169,169,168,172,172,173,175,176,177,178,177,178,178,178,178,177,176,177,178,177,174,175,174,172,172,172,171,170,170,171,170,173,173,173,176,178,177,178,178,179,179,178,180,178,177,168,156,170,177,169,171,180,175,173,171,172,172,172,172,173,174,175,177,178,179,179,179,179,179,179,180,178,175,151,118,97,162,146,116,122,172,178,173,171,172,172,172,174,175,177,178,178,179,179,180,181,181,178,179,181,158,133,109,96,148,128,110,61,126,168,169,178,172,173,172,175,176,177,178,180,179,180,181,179,180,172,141,164,160,147,89,126,164,133,107,96,142,127,95,136,180,172,172,176,177,177,179,181,181,180,181,181,185,175,130,150,188,149,86,157,175,135,110,122,131,115,87,67,139,180,172,177,177,178,180,180,182,182,180,188,196,178,139,136,179,126,83,177,175,121,113,158,143,115,91,72,85,179,173,177,179,179,180,181,183,183,180,193,185,171,137,97,101,104,66,119,135,80,125,186,143,129,87,60,79,175,175,178,179,180,180,183,184,182,186,201,182,152,122,99,53,45,86,124,140,119,156,185,139,103,66,58,84,178,173,179,180,180,181,183,182,185,196,182,174,135,111,94,46,100,173,178,169,158,170,136,99,82,82,64,85,183,175,179,180,182,183,184,181,196,198,170,144,134,148,90,120,187,179,169,162,147,156,156,112,113,109,76,110,185,175,180,181,183,183,184,184,205,194,174,155,134,153,144,195,187,172,165,169,153,153,152,122,97,99,69,152,184,176,180,182,183,184,184,188,206,197,184,181,157,158,178,183,187,170,172,164,144,154,138,107,85,76,70,175,179,177,181,183,184,185,184,190,205,201,190,180,171,162,172,174,177,170,169,156,151,148,123,93,80,61,91,188,177,178,182,183,185,186,186,190,204,202,191,175,162,161,164,170,175,168,166,153,148,128,102,81,76,52,119,191,177,179,182,183,184,185,185,189,202,200,180,162,158,165,165,174,178,168,158,148,130,105,85,74,71,48,145,190,180,179,181,184,185,186,186,189,191,185,175,173,171,167,167,182,173,159,143,135,116,92,81,74,55,73,181,183,181,179,182,185,185,187,187,192,199,199,195,189,178,163,164,181,163,143,126,120,100,86,80,56,62,162,187,181,182,182,183,184,185,187,187,198,204,200,193,182,172,162,160,173,153,130,116,103,91,79,56,78,163,188,181,183,182,182,183,185,186,186,188,203,203,199,190,174,165,163,164,161,141,122,106,94,72,65,121,181,190,183,184,184,184,183,182,185,186,184,191,205,199,192,184,172,160,161,164,152,134,112,90,68,73,159,193,185,184,185,184,184,183,182,188,184,185,182,197,197,189,180,179,170,154,158,155,136,122,106,76,64,161,192,183,186,184,184,184,183,182,180,151,183,190,185,196,182,177,172,170,161,160,157,148,126,107,93,65,134,191,183,186,185,185,184,184,183,182,182,80,82,133,201,186,170,163,160,160,167,160,149,142,118,100,76,79,179,188,188,186,186,185,184,184,183,183,183,87,74,69,155,177,162,154,160,168,170,150,138,132,109,92,60,116,195,188,188,188,186,185,185,184,183,184,183,79,82,83,68,84,96,93,100,114,128,126,125,119,99,80,58,158,194,187,189,188,187,186,185,184,183,185,182,79,76,81,71,29,45,50,47,46,48,53,67,82,82,58,85,182,189,188,188,188,188,186,184,183,183,183,183
24,217,218,219,220,220,221,223,223,223,224,224,224,223,223,224,222,221,220,218,217,217,215,214,211,211,208,207,205,221,223,224,224,225,226,226,227,228,228,228,227,227,227,227,226,226,225,223,221,220,219,216,218,217,212,211,210,224,226,227,228,230,230,230,233,233,232,232,230,229,231,232,230,229,228,227,226,225,224,220,206,208,220,216,214,228,229,231,231,233,235,236,236,235,235,234,234,235,234,234,234,233,232,230,229,227,226,230,195,137,221,219,216,231,234,235,236,236,236,237,236,237,240,240,237,237,236,236,236,235,235,234,232,231,227,237,199,115,213,223,219,234,236,236,237,238,240,241,241,243,237,234,245,239,239,239,239,238,237,236,235,235,230,245,197,118,217,228,223,237,239,240,240,243,244,244,244,247,231,151,223,251,243,246,245,244,242,240,238,238,235,250,182,125,228,229,226,241,243,245,246,246,245,246,246,252,219,141,153,255,245,249,248,246,245,244,243,240,242,255,178,137,239,231,229,244,245,247,248,248,248,249,248,254,235,176,118,239,253,248,250,250,248,246,246,239,251,245,156,149,247,232,232,248,249,250,249,251,252,252,252,253,251,203,114,204,255,248,251,252,253,247,249,247,255,227,123,169,251,234,236,250,251,253,254,253,253,254,254,253,255,224,139,154,255,252,255,253,247,255,245,192,202,229,115,207,249,239,239,252,254,255,255,255,255,255,255,255,255,240,178,116,249,255,254,221,182,206,223,168,101,155,132,239,247,243,241,255,255,255,255,255,255,255,255,255,255,250,196,107,193,255,235,223,201,173,167,163,162,104,129,255,246,246,244,255,255,255,255,255,255,255,255,255,255,255,214,155,141,255,222,238,199,189,181,193,200,88,150,255,245,246,245,255,255,255,255,255,255,255,255,255,255,255,239,203,115,189,185,240,221,170,176,178,176,107,157,255,247,248,246,255,255,255,255,255,255,255,255,255,255,255,255,207,152,159,164,207,240,150,84,149,215,146,109,255,253,252,249,255,255,255,255,255,255,255,255,255,255,255,255,237,228,166,130,158,223,139,67,112,219,180,97,190,255,249,250,255,255,255,255,255,255,255,255,255,255,255,255,251,225,140,102,142,197,116,65,145,240,229,143,104,255,253,253,255,255,255,255,255,255,255,255,255,255,255,255,252,210,171,148,150,193,138,99,244,250,222,149,93,245,255,254,255,255,255,255,255,255,255,255,255,255,255,255,254,238,222,166,146,195,142,200,255,233,203,115,105,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,241,244,180,161,130,186,255,255,216,187,103,129,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,233,246,205,178,126,241,255,246,211,175,97,159,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,231,225,215,194,134,216,255,235,197,160,81,182,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,224,225,224,214,158,197,255,232,182,136,74,222,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,238,232,220,226,179,161,243,209,155,99,91,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,239,229,223,182,134,200,172,125,64,134,255,255,255,255,221,226,232,237,243,248,252,255,255,255,255,255,255,255,242,226,205,175,146,152,167,112,65,226,255,255,255,255,135,134,133,136,137,139,142,148,149,150,154,158,151,208,255,220,206,199,167,151,172,96,86,203,207,205,183,131
4,218,218,218,219,220,221,220,218,221,220,220,223,222,222,222,222,222,222,222,221,224,222,218,218,220,218,218,217,220,221,220,221,221,222,222,222,222,223,223,224,222,223,222,222,224,223,222,223,222,222,222,222,221,222,220,218,222,223,223,222,223,224,223,223,224,223,222,222,222,224,227,224,224,226,229,225,224,223,224,223,222,223,222,220,223,224,224,224,225,224,224,224,225,225,226,226,225,209,199,220,223,203,198,226,229,227,223,223,224,224,223,221,223,225,225,224,225,225,226,224,225,224,214,222,255,230,184,175,236,205,160,161,222,211,227,228,225,226,225,223,225,224,225,227,225,226,229,228,226,240,234,203,208,255,214,160,242,232,177,121,193,164,153,227,229,225,225,224,226,225,225,226,228,229,229,227,232,254,253,220,159,241,230,147,235,241,179,163,230,188,114,156,238,224,227,226,226,228,229,229,229,230,232,226,243,230,245,221,156,212,232,127,210,245,163,167,236,187,126,129,238,228,229,228,227,230,230,230,231,230,230,232,255,202,231,227,140,188,238,150,169,220,142,177,245,211,126,144,242,228,231,228,227,229,230,231,232,232,227,244,238,166,183,235,153,162,240,211,196,197,202,231,251,215,141,164,245,230,232,230,229,230,230,231,233,232,232,249,237,203,173,204,153,131,169,209,211,211,228,231,226,196,171,134,232,234,233,232,229,230,230,231,233,231,244,246,226,207,175,149,116,118,138,134,177,187,195,209,196,178,198,120,190,245,232,233,229,230,231,231,233,232,247,233,199,171,163,144,116,126,150,110,147,153,156,171,157,197,205,141,142,246,232,234,230,231,232,232,234,233,251,237,200,160,136,130,123,139,146,144,183,180,152,113,183,243,214,176,115,215,241,233,230,231,232,233,234,234,255,253,218,174,138,116,124,149,137,180,208,200,168,186,204,238,232,209,130,158,250,232,229,231,231,232,234,236,255,255,226,178,136,122,124,151,165,213,198,208,220,240,237,223,240,200,141,126,243,236,229,230,231,232,231,238,255,255,238,180,137,138,128,136,175,199,208,233,240,232,235,217,203,178,147,114,226,239,229,230,231,232,230,239,255,255,244,182,146,164,146,152,188,203,230,238,235,227,219,207,173,154,134,130,234,237,230,231,231,232,231,242,255,253,231,189,183,170,153,202,226,239,245,240,230,216,202,185,157,130,114,205,242,236,230,231,231,232,231,242,255,253,236,211,199,175,153,222,245,244,250,238,220,204,189,167,142,107,172,245,237,238,231,232,232,233,232,234,255,251,248,227,198,197,163,209,248,245,245,226,201,190,178,154,121,134,238,239,240,238,231,231,231,232,234,225,251,253,255,236,211,200,180,206,247,240,232,213,190,176,158,138,110,209,247,238,239,238,235,235,236,235,238,225,240,252,242,224,214,198,187,203,235,228,216,200,176,163,146,112,152,247,238,240,239,238,208,211,217,217,223,215,236,255,232,213,214,204,190,201,215,214,197,180,163,154,133,115,229,251,247,246,246,245,130,132,132,133,139,126,219,254,227,220,222,212,193,200,210,207,192,165,149,145,115,144,210,207,215,217,211,209,126,126,124,125,128,109,211,255,230,229,224,212,194,201,215,213,191,148,137,127,117,123,125,125,116,119,154,169,129,128,129,130,134,114,212,255,232,229,228,222,197,195,214,209,170,133,126,114,124,127,122,126,167,198,238,255,127,127,129,129,134,112,208,255,233,229,236,239,200,181,210,194,149,127,117,119,141,143,170,213,255,246,199,224
15,64,63,64,67,67,68,72,84,97,107,117,126,134,139,139,143,148,153,158,163,167,170,171,174,177,180,181,184,63,63,65,66,66,68,73,85,96,108,118,127,135,139,140,144,148,154,160,164,168,171,173,176,179,181,183,186,63,64,64,66,68,68,73,86,98,110,119,129,137,140,139,143,149,155,161,164,169,172,174,178,180,183,186,188,63,63,64,66,69,69,74,86,99,110,121,129,137,141,141,143,151,158,161,165,170,173,176,180,181,185,186,188,63,63,67,64,65,67,74,88,102,111,122,131,136,141,142,145,151,157,162,166,171,173,177,180,182,186,186,189,65,65,60,79,97,77,77,88,102,113,122,132,139,142,143,147,152,158,164,167,172,175,178,180,183,186,187,189,65,63,62,171,142,114,112,105,100,105,121,129,127,129,136,148,157,162,166,169,171,175,178,181,185,187,188,191,64,62,71,159,121,104,105,101,88,107,107,110,101,103,105,112,125,145,161,172,178,179,179,181,185,186,189,192,64,66,61,90,89,71,78,66,70,99,87,90,85,109,111,104,104,108,117,126,135,160,187,183,185,187,190,193,65,63,65,64,65,65,68,62,68,73,69,65,72,108,105,102,105,109,119,105,87,80,129,195,183,188,191,194,63,64,64,67,67,69,76,91,100,101,104,100,90,92,87,84,78,113,130,117,100,98,61,135,199,185,192,195,63,64,64,65,67,67,75,91,103,118,127,136,142,121,82,76,115,135,133,125,96,116,92,54,159,200,190,195,64,64,65,65,67,68,77,92,104,112,130,151,138,118,95,128,173,118,135,104,136,124,108,82,62,184,198,194,63,63,64,65,67,66,77,94,98,135,180,143,104,96,80,92,155,94,87,145,152,116,146,113,57,87,207,195,62,61,62,62,65,63,75,93,91,175,179,99,87,99,96,71,94,52,87,192,106,116,154,127,87,38,139,211,62,61,61,62,63,64,75,93,92,159,146,84,97,116,122,113,87,56,103,140,68,111,153,136,97,58,54,158,61,60,59,61,63,64,77,93,92,154,133,63,109,124,136,121,82,78,86,89,97,118,125,116,89,60,50,58,60,59,59,62,63,63,75,93,92,155,190,101,97,125,134,111,71,73,85,90,104,110,94,70,66,56,52,54,58,59,59,61,61,62,74,92,94,155,154,182,134,90,78,70,66,81,83,86,95,111,93,56,54,54,54,59,58,59,57,60,59,61,73,90,95,198,156,160,164,115,72,24,32,66,88,92,104,116,88,57,55,55,58,60,54,55,56,57,57,59,73,88,98,136,151,168,154,143,110,49,1,11,43,103,100,95,70,57,60,62,59,58,57,56,54,54,54,57,71,85,99,107,120,136,126,130,109,98,32,20,39,100,115,92,74,72,74,73,65,59,117,112,108,103,105,107,108,111,113,118,122,124,105,99,128,160,75,23,56,57,109,122,107,92,81,72,63,60,94,93,92,95,98,96,95,94,85,85,88,93,97,92,102,176,80,67,74,56,71,85,86,78,68,62,58,56,98,97,97,98,97,97,98,100,94,93,98,98,99,100,93,109,87,103,103,97,95,80,64,61,58,53,51,51,103,101,99,101,101,100,100,102,103,102,104,103,102,104,106,100,105,102,104,106,124,116,89,70,62,55,50,51,105,105,102,102,104,102,103,104,104,104,103,104,103,103,103,104,104,104,102,101,118,125,113,81,75,87,75,56,104,103,101,101,104,105,105,105,105,106,106,104,104,104,103,103,104,104,103,106,93,126,165,105,115,122,102,82
22,154,160,163,167,173,177,182,185,188,190,192,193,194,195,196,196,195,194,194,194,193,192,192,191,190,190,188,187,156,162,165,169,174,180,183,185,188,191,193,194,196,197,197,198,197,197,196,195,194,194,192,192,192,191,190,189,158,164,166,170,176,182,184,187,190,191,193,196,197,198,197,195,198,198,197,197,196,194,195,193,193,192,191,190,158,164,166,171,178,182,186,189,190,191,195,197,197,199,199,231,163,187,200,196,202,203,180,196,194,193,192,191,159,165,168,172,179,184,187,189,194,235,163,191,202,199,204,243,146,175,206,193,223,198,150,200,195,194,193,193,162,166,167,173,180,185,189,190,197,245,155,183,205,198,210,233,151,175,207,196,231,176,154,203,195,195,194,194,163,167,168,175,181,187,190,193,193,240,175,173,209,199,216,239,160,177,207,205,230,164,158,205,196,197,196,194,163,168,172,177,183,187,192,195,192,249,204,166,210,200,219,239,165,180,205,219,238,159,171,206,199,198,198,196,164,169,172,178,185,189,191,197,191,243,228,163,207,203,223,231,165,178,207,236,233,156,184,206,200,200,199,197,165,171,174,179,185,190,194,200,193,236,242,161,197,205,227,234,168,174,214,247,212,145,192,206,201,201,200,199,166,172,175,180,185,192,197,200,195,225,255,191,182,208,232,241,170,175,235,249,190,140,203,206,203,202,201,199,168,173,176,182,188,193,198,197,213,227,203,196,174,211,233,234,161,190,255,239,170,156,212,205,204,203,202,200,169,173,177,184,191,194,200,196,252,255,223,192,144,199,222,217,204,228,251,227,150,182,214,206,206,204,204,203,169,174,178,185,192,197,201,203,255,255,252,204,136,140,195,210,230,225,217,191,147,207,212,209,208,206,205,204,170,175,179,186,193,198,201,211,250,238,229,235,192,150,147,175,206,208,199,150,160,218,210,211,210,208,207,205,171,176,179,187,194,199,201,213,255,236,212,248,247,199,142,128,172,196,186,137,170,220,211,212,211,210,208,206,171,176,180,188,195,200,199,225,255,223,200,199,251,233,186,132,131,168,177,141,183,222,213,213,213,212,210,208,172,177,181,189,197,202,199,236,255,220,181,155,202,243,225,180,127,130,149,135,203,221,216,216,215,214,212,210,172,177,180,189,196,203,201,245,255,223,173,194,180,234,252,222,174,125,120,137,216,219,217,216,214,215,213,211,173,176,180,189,196,202,200,245,255,226,168,204,202,254,253,236,205,162,121,145,225,217,218,216,215,214,212,211,173,176,180,189,197,203,201,244,255,217,180,205,226,255,254,235,217,170,117,154,229,217,218,219,217,215,213,212,172,177,181,190,198,205,202,242,255,206,198,200,247,255,255,230,196,157,116,166,229,219,220,219,218,216,214,213,171,176,181,189,197,204,203,236,255,207,213,198,255,255,254,232,178,142,121,184,227,219,219,216,216,215,213,212,173,177,183,190,199,206,207,234,255,218,222,199,255,255,250,221,171,136,127,212,232,226,225,223,223,221,220,221,157,160,163,166,168,171,167,190,255,237,230,208,255,250,236,201,159,136,131,168,170,169,169,168,168,169,163,155,138,138,138,139,137,136,134,146,255,244,229,203,249,237,207,179,150,137,132,128,126,125,125,123,124,113,121,173,145,145,146,146,145,146,145,151,251,231,215,196,216,217,185,167,156,142,133,137,137,136,134,136,134,159,227,235,145,146,146,145,144,145,144,142,227,209,195,188,191,203,192,168,158,144,136,137,136,136,135,130,177,243,232,205
0,163,164,166,166,166,166,167,167,167,167,166,167,167,166,166,166,166,165,165,164,165,165,163,162,162,162,161,161,166,166,167,168,168,168,168,167,167,167,167,168,168,168,168,168,166,166,168,167,166,166,165,162,162,164,164,162,167,169,170,170,170,171,170,170,169,170,170,169,169,169,169,170,168,168,167,168,166,163,154,166,164,165,164,164,170,172,172,171,171,172,172,172,171,171,171,171,171,171,155,141,159,164,146,136,162,165,111,161,166,165,165,165,171,172,171,171,172,173,173,173,173,173,162,147,164,182,159,124,103,152,142,121,107,145,121,125,170,167,166,166,171,172,172,173,174,174,174,173,173,187,165,133,135,182,161,140,99,148,148,138,101,90,151,108,137,165,169,167,171,173,173,175,174,174,176,155,148,191,170,152,135,181,162,148,96,152,151,136,105,63,136,135,110,113,168,168,172,174,174,175,174,180,191,167,130,163,185,156,127,188,168,145,86,157,149,118,108,47,95,152,132,83,148,171,174,175,176,176,175,188,190,180,158,125,189,159,118,184,170,139,84,131,136,99,95,37,105,163,146,95,133,173,175,176,176,177,180,182,179,185,162,107,169,162,114,158,168,127,83,83,108,91,80,39,136,168,148,98,124,176,174,175,176,176,180,171,139,160,138,93,133,148,107,116,137,104,83,54,81,95,74,61,148,165,143,96,115,177,175,176,177,177,179,181,146,150,117,78,105,125,95,80,109,91,72,47,111,145,129,124,143,152,136,91,111,178,176,178,179,179,183,191,166,152,117,89,90,110,93,63,91,106,106,142,167,159,148,139,123,128,128,95,102,178,178,180,180,180,188,188,165,141,123,103,72,116,115,57,99,163,179,181,171,156,144,132,116,107,114,99,96,177,179,180,180,179,194,201,183,164,141,113,89,113,114,120,173,189,185,176,165,152,139,125,107,99,100,91,111,178,181,180,182,180,196,205,190,169,149,142,141,140,159,183,191,186,179,168,160,147,132,115,99,94,95,86,151,179,181,182,183,181,201,210,193,172,156,152,152,162,177,184,189,184,171,166,152,138,126,107,95,96,87,130,179,179,181,182,184,183,202,213,199,183,171,162,163,174,182,186,185,175,167,162,143,130,116,101,95,88,104,178,180,179,181,182,183,182,200,214,205,190,175,166,165,176,186,184,177,165,157,152,135,120,107,98,93,85,157,183,180,179,182,183,184,184,194,213,211,198,179,165,159,165,171,167,167,154,140,138,121,109,103,95,85,140,183,181,181,181,184,184,185,186,188,207,206,194,178,163,157,162,165,168,164,150,133,129,112,102,95,93,141,182,181,182,183,181,185,185,186,187,185,195,194,181,169,154,157,162,158,165,159,145,135,124,106,91,95,156,185,184,182,183,183,182,185,186,187,187,187,191,181,177,172,164,173,166,145,160,157,140,126,115,95,81,155,187,184,183,183,183,184,183,186,187,187,188,188,191,189,194,185,177,174,167,138,151,156,134,118,104,76,119,189,185,186,186,185,185,184,183,186,187,187,187,188,192,203,201,190,170,167,163,133,148,144,128,113,94,76,164,190,186,187,186,184,185,185,185,186,187,188,188,188,186,210,201,188,161,163,159,136,141,133,125,110,85,86,183,188,187,187,186,185,186,186,185,187,187,188,188,188,182,205,195,180,157,164,165,134,127,130,120,107,83,97,191,188,189,188,187,187,187,186,185,186,187,187,187,188,184,204,187,173,156,164,162,126,131,128,117,104,81,100,190,188,188,188,188,187,187,187,186
11,159,161,163,165,165,166,168,169,169,170,170,170,169,172,171,172,171,170,170,170,169,169,169,169,168,166,165,164,160,163,165,165,167,168,170,170,171,171,171,173,175,167,174,174,173,172,172,173,171,171,170,170,170,169,167,166,163,165,166,168,168,170,171,172,173,174,172,181,188,130,174,176,175,173,174,174,174,173,172,172,172,171,169,169,165,166,168,170,171,171,173,175,175,176,171,194,187,113,170,177,175,175,176,176,176,176,176,175,173,172,171,170,165,168,170,171,172,172,174,176,176,177,174,214,171,113,176,177,177,177,176,177,177,177,177,176,174,174,173,171,168,170,171,172,173,174,176,177,179,174,189,223,140,124,183,176,178,178,179,178,178,177,177,177,176,175,175,173,170,171,172,174,175,176,176,178,180,173,210,215,122,151,185,179,180,181,181,180,179,179,179,179,178,176,176,175,171,173,174,176,177,177,177,180,176,187,224,188,114,169,184,182,182,182,182,181,180,181,182,180,178,178,177,176,171,174,175,177,178,179,180,181,180,215,220,151,117,186,184,183,183,183,183,183,183,183,182,181,181,179,178,178,173,175,176,178,179,181,182,178,197,224,207,115,140,191,183,184,184,185,185,185,183,184,184,182,182,181,179,179,176,177,178,179,181,182,184,180,209,224,190,99,171,191,184,185,184,185,186,185,186,185,184,183,182,182,182,180,177,177,180,181,183,184,184,188,221,224,174,149,201,166,184,188,185,186,187,187,188,187,184,185,183,183,183,182,177,179,181,182,184,185,179,204,224,222,218,215,187,121,165,192,186,188,188,188,189,188,187,186,185,184,184,183,177,179,182,183,181,185,195,220,224,224,223,177,125,111,151,194,187,189,190,189,189,188,187,187,187,186,185,183,178,180,183,185,204,217,223,223,224,212,196,161,110,107,136,194,188,190,190,191,191,190,188,188,189,188,185,184,179,183,180,205,224,223,223,222,224,186,122,131,113,114,122,190,191,191,191,191,191,191,190,189,189,189,187,185,181,183,186,220,220,218,223,224,214,168,116,112,114,115,118,185,194,192,193,192,191,192,192,191,190,189,189,188,183,181,199,224,221,224,222,203,173,176,135,111,109,115,119,185,194,193,195,193,192,192,192,192,191,190,190,190,185,181,213,224,222,209,179,143,121,184,156,117,104,105,129,193,194,192,194,194,193,193,193,193,193,190,190,189,183,190,223,224,212,166,126,91,75,186,168,114,113,157,186,198,200,201,200,197,196,199,196,193,193,191,191,191,181,204,224,217,194,155,122,83,131,187,123,90,122,193,199,192,180,159,140,132,131,145,186,198,193,194,193,193,184,217,224,214,177,135,105,79,120,129,74,80,76,90,116,119,119,117,113,119,117,106,113,178,198,194,194,194,197,224,223,199,150,112,91,82,80,83,81,85,89,85,93,114,128,138,133,130,123,112,92,123,202,190,193,193,217,224,217,177,138,109,85,81,81,84,91,96,101,105,121,133,133,132,134,140,159,164,143,158,199,192,192,193,223,224,207,164,130,103,79,81,89,102,111,112,115,120,131,127,146,174,193,200,202,203,204,200,195,195,204,159,223,222,191,152,124,98,79,97,112,121,128,127,124,114,128,168,203,204,202,200,199,198,197,198,203,194,154,105,224,213,176,142,117,97,88,115,128,128,127,132,115,149,194,204,200,200,201,201,200,200,199,204,178,122,95,89,220,198,159,132,115,99,93,117,124,125,127,116,147,208,202,201,202,201,201,202,202,201,204,176,112,100,94,85
17,104,107,109,114,116,117,118,120,122,124,125,126,128,131,129,132,133,132,133,133,134,135,133,132,132,132,133,131,107,110,113,117,118,121,122,124,124,125,126,128,129,130,133,132,133,133,134,135,136,136,134,133,133,133,132,131,111,116,117,120,122,123,126,127,127,127,129,128,150,107,107,141,135,135,135,136,137,138,136,135,135,135,134,133,116,119,121,125,127,128,129,130,132,133,131,142,143,71,75,146,137,140,139,139,139,139,139,137,136,136,136,135,122,125,127,130,132,132,133,134,135,137,135,146,160,67,71,152,139,143,142,142,142,142,143,142,140,141,140,139,126,130,132,134,137,137,139,140,140,141,139,153,178,102,59,145,144,145,146,145,146,145,146,145,144,142,143,143,131,134,138,140,142,142,143,144,146,148,143,163,183,123,42,118,156,148,150,150,150,150,150,151,149,145,144,144,135,140,142,144,147,148,148,149,152,153,147,173,174,139,66,87,163,151,153,153,154,154,155,154,152,150,148,149,140,143,147,150,151,152,153,154,156,157,149,186,150,160,92,63,160,159,158,159,159,158,158,157,156,154,153,153,145,149,152,154,156,156,158,159,159,160,160,190,129,174,107,54,152,165,162,164,163,162,162,162,159,158,157,156,148,152,155,160,161,161,163,163,163,161,156,195,142,189,144,62,136,173,166,167,167,167,166,165,163,162,160,160,152,155,159,162,163,163,166,167,169,174,139,109,112,179,159,75,118,179,168,171,171,170,169,167,166,166,165,164,156,159,163,165,166,166,168,167,184,196,158,97,49,129,156,81,101,183,170,175,175,175,173,171,169,168,168,167,159,161,165,167,168,170,172,172,179,148,145,144,113,91,103,76,83,185,174,176,177,177,176,176,173,172,170,169,160,164,167,170,173,173,174,177,183,119,126,161,175,139,57,46,71,183,178,180,180,180,180,179,177,174,173,174,164,168,171,175,175,175,173,181,207,188,117,130,158,119,46,33,49,169,185,183,183,183,182,181,181,178,176,176,166,170,174,177,177,177,184,170,122,206,141,62,137,126,59,34,29,144,194,184,185,185,185,184,183,182,181,178,167,172,176,177,179,180,193,154,76,118,152,27,85,165,78,34,18,130,199,186,188,187,187,187,185,185,184,182,171,176,178,180,181,185,198,169,110,63,133,71,75,189,103,48,14,124,204,186,190,190,189,187,186,186,185,184,174,177,181,184,183,189,185,119,74,40,107,102,109,199,127,73,16,128,206,189,192,192,191,190,188,188,186,186,176,178,182,185,185,192,177,136,90,82,79,124,169,180,133,89,25,141,205,190,193,193,192,192,193,192,189,188,178,181,184,188,186,199,194,128,111,103,109,212,190,145,110,82,31,168,202,194,196,195,193,193,193,192,192,191,179,183,186,189,190,215,176,145,134,86,147,210,151,130,101,59,42,189,200,198,197,198,197,196,194,193,192,192,182,184,187,190,193,217,191,171,106,102,163,187,134,128,100,44,51,201,201,201,201,199,199,198,196,196,194,193,183,186,189,190,195,211,209,140,134,100,197,186,132,122,86,36,68,209,201,202,202,201,201,200,199,199,196,194,184,187,190,193,193,195,194,149,140,117,215,180,128,104,70,28,88,213,201,203,203,202,202,201,199,199,198,196,184,188,190,193,192,184,181,165,127,124,209,161,108,77,55,21,125,216,202,207,205,203,202,202,201,200,200,200,185,190,192,193,198,183,159,163,129,128,188,141,92,59,41,34,180,211,205,206,206,205,206,205,202,202,201,201
4,184,185,185,186,187,185,185,185,186,185,184,184,184,183,181,182,184,183,180,179,179,178,178,177,176,175,174,174,186,187,187,188,188,188,187,187,187,186,184,186,184,188,189,181,170,172,183,181,180,180,179,179,178,177,176,176,188,189,189,190,190,191,190,188,187,191,198,196,179,162,190,212,186,145,137,190,185,183,179,180,179,178,177,177,190,191,192,191,191,192,189,192,194,165,190,205,183,135,114,184,183,138,99,141,165,170,185,182,180,178,179,178,191,191,192,193,193,188,202,214,185,143,113,184,167,125,92,145,160,118,99,87,127,122,136,186,180,179,179,179,192,193,192,194,193,192,225,219,174,143,97,168,159,123,86,126,148,119,95,95,123,107,91,179,184,182,180,180,194,194,193,195,193,202,220,215,184,193,117,136,186,166,85,108,170,150,99,108,131,106,91,176,186,183,182,181,194,195,195,196,194,201,225,197,203,217,137,112,209,172,87,94,185,156,96,113,167,134,103,179,187,184,183,182,195,196,196,197,197,197,225,207,196,172,119,100,161,140,97,93,131,138,73,110,197,146,120,187,186,186,184,183,197,197,197,198,196,201,236,228,205,176,145,127,103,100,104,121,162,169,109,103,156,125,145,194,187,185,185,184,198,198,199,201,194,215,241,217,191,178,161,150,136,148,154,169,200,163,129,109,106,87,172,194,189,187,186,185,199,200,199,202,195,225,231,198,170,150,159,211,182,188,202,175,184,152,145,119,107,101,181,192,190,189,188,187,199,201,201,202,198,233,229,200,178,155,153,205,184,186,195,185,171,167,164,131,97,93,179,194,188,189,188,187,201,203,203,202,204,241,230,205,181,159,139,153,161,158,171,155,150,190,183,145,107,87,174,197,190,191,189,189,203,204,205,200,212,242,225,206,178,146,136,126,112,115,152,121,136,200,194,152,119,90,165,201,191,191,190,190,205,205,206,202,219,241,225,206,169,145,146,140,123,143,202,197,163,198,205,151,128,91,156,202,191,191,191,190,205,206,207,202,223,239,227,203,167,151,157,142,127,205,225,211,199,179,195,158,136,100,141,205,192,193,192,191,207,207,209,203,227,239,219,183,166,166,158,131,177,231,227,213,191,184,164,150,133,104,150,204,193,194,192,191,208,208,209,205,231,235,208,181,190,166,143,145,225,232,227,208,183,169,154,131,123,99,181,200,195,194,193,192,209,210,208,214,237,230,206,195,193,161,132,187,236,227,215,198,178,158,145,125,106,110,201,196,197,195,193,193,209,209,218,172,223,233,205,197,198,154,163,212,234,216,201,189,173,151,132,119,86,157,206,197,197,196,195,194,210,216,200,98,128,218,212,201,192,145,174,210,223,203,193,183,162,139,124,102,106,202,199,199,199,198,196,195,214,211,122,103,95,114,183,197,170,140,157,205,207,190,179,169,149,128,113,87,172,209,201,202,201,199,198,196,223,147,96,104,104,93,102,139,141,126,146,178,189,175,164,152,135,118,88,129,212,202,203,202,202,201,199,197,169,105,110,98,94,100,95,90,94,115,137,154,168,157,147,131,119,93,98,203,207,204,204,203,202,201,199,197,107,106,106,95,94,94,93,98,81,86,110,127,141,127,115,109,95,86,184,213,205,207,206,205,203,202,200,199,109,105,96,95,91,92,90,93,92,57,70,80,93,93,82,78,83,177,216,205,208,207,207,205,203,202,202,200,104,99,94,94,89,89,87,87,97,70,52,65,65,65,67,50,127,224,207,209,209,208,208,207,205,203,202,201
14,194,196,197,196,197,200,200,200,207,222,208,177,150,124,179,198,200,201,200,200,200,201,200,200,199,198,197,197,196,198,199,200,199,200,200,211,231,206,156,133,119,111,135,174,180,179,201,201,201,201,201,200,200,200,200,199,197,199,200,201,200,199,222,237,216,168,118,111,108,112,137,159,149,130,200,203,203,204,204,203,202,202,201,200,198,201,202,201,202,209,246,222,169,128,108,112,104,94,112,129,122,151,204,204,204,205,204,204,204,204,202,201,201,202,203,204,201,224,249,204,125,97,90,97,102,112,112,121,133,148,182,203,206,206,207,206,206,204,204,203,201,202,204,206,203,238,246,195,121,93,87,90,104,116,102,112,151,164,141,167,208,207,208,209,207,206,205,205,201,203,206,207,207,249,239,177,116,98,101,87,91,98,96,99,118,132,114,181,209,209,209,209,209,208,208,207,203,205,207,208,214,253,233,171,112,100,110,96,103,114,121,122,114,117,111,144,172,206,210,210,210,210,209,209,206,207,208,208,224,254,240,191,136,105,104,100,109,108,114,112,115,128,135,137,127,179,209,211,212,211,210,209,207,209,210,207,239,254,240,195,146,116,94,111,116,110,139,166,199,187,162,145,167,158,199,213,213,212,212,212,209,211,210,210,248,254,242,193,145,121,100,109,110,182,213,214,214,215,211,176,184,154,203,215,214,214,213,213,210,211,212,213,251,254,245,201,153,119,103,102,119,208,217,218,218,218,200,169,180,150,209,216,216,214,214,215,212,214,214,219,254,255,248,208,163,124,102,102,181,217,219,219,219,218,191,169,177,145,206,217,217,216,215,216,213,215,215,220,254,255,249,213,168,130,100,115,215,220,220,219,220,220,182,164,174,143,182,219,219,218,217,217,214,216,218,222,254,255,250,216,175,136,103,146,221,222,223,223,222,212,169,159,167,149,160,222,220,219,220,219,215,217,219,223,254,254,250,218,178,137,105,156,215,221,222,222,219,167,162,174,166,144,177,222,221,220,220,220,217,217,217,225,254,254,250,219,178,143,122,96,125,154,162,181,174,146,162,168,158,156,216,223,222,220,220,220,217,217,219,226,254,254,250,216,180,156,136,100,104,113,123,134,139,146,160,160,147,199,224,224,222,222,221,221,219,219,220,231,254,255,249,215,190,171,146,111,111,122,132,143,147,145,150,147,176,224,226,226,224,224,222,222,220,221,221,236,254,255,249,221,201,180,150,124,117,133,139,143,147,144,137,147,220,227,227,227,225,224,224,223,221,223,222,239,255,255,249,230,209,181,151,131,119,134,141,142,145,142,132,196,228,229,228,227,226,226,225,225,222,222,223,244,255,255,250,237,213,181,149,132,122,130,140,138,141,134,182,228,229,228,229,228,228,227,228,227,222,224,223,248,254,254,250,237,209,168,133,122,118,127,136,137,134,153,227,230,230,229,229,229,228,227,228,227,223,226,226,251,253,252,244,223,187,136,111,112,113,123,130,134,134,208,231,230,231,230,230,230,230,229,228,228,197,185,173,182,166,158,143,126,110,90,81,90,104,117,123,130,185,232,232,233,232,232,233,232,230,230,229,230,123,115,105,100,92,86,78,72,70,63,54,54,64,89,112,179,231,232,233,233,232,232,233,233,232,232,230,231,113,107,98,94,88,82,73,69,67,59,51,50,50,51,79,227,234,235,235,235,235,234,234,234,233,232,232,232,112,106,97,92,84,79,72,68,64,57,50,47,48,51,81,233,236,237,236,236,236,234,234,234,233,233,234,233
14,167,166,166,166,166,167,168,168,167,168,168,167,168,167,168,168,168,169,167,168,168,167,166,167,166,166,168,133,169,169,169,169,169,169,170,171,172,171,172,171,170,170,170,170,171,172,170,170,170,169,168,169,168,166,171,117,171,171,171,170,172,172,172,173,172,172,171,172,172,173,171,175,176,172,173,173,173,171,170,170,169,170,171,146,174,173,173,175,175,174,174,174,177,182,172,162,175,174,162,158,171,177,177,175,175,175,174,174,172,172,172,163,177,177,177,179,178,177,175,185,199,167,162,160,163,151,124,139,155,160,165,180,177,179,179,177,175,174,175,171,180,180,179,181,179,186,198,194,176,112,89,112,123,122,84,79,139,123,101,182,180,181,180,179,177,177,177,175,182,181,182,184,177,200,208,136,103,80,45,59,77,84,64,59,90,93,64,162,191,183,177,181,180,179,179,178,184,183,183,186,177,208,202,125,61,52,46,41,47,55,58,52,62,71,84,97,161,159,132,144,184,179,181,180,186,185,186,188,179,214,197,141,81,56,53,48,47,46,55,52,53,87,131,98,77,154,128,130,190,182,183,182,189,187,188,188,181,216,183,117,61,46,52,61,58,46,56,60,55,69,87,62,126,174,100,154,194,184,186,185,189,188,189,187,191,216,180,137,94,59,46,58,50,62,54,77,128,162,140,110,174,161,90,164,195,187,187,187,190,191,192,188,199,219,187,152,117,84,69,50,53,84,62,125,209,194,202,180,178,159,88,159,196,188,189,188,193,194,195,188,206,225,195,156,105,81,72,67,66,70,65,164,199,191,193,166,174,151,89,147,200,189,190,189,194,194,196,190,209,231,202,157,99,74,67,64,81,67,87,201,194,196,185,172,176,146,88,124,205,191,191,191,194,195,196,193,211,230,204,170,121,80,60,61,78,65,119,211,192,198,176,187,180,139,77,152,203,192,194,192,195,196,199,192,209,233,206,172,134,91,61,59,72,54,137,200,200,189,165,190,181,115,100,202,196,196,196,194,197,199,202,190,202,232,208,180,144,96,68,63,60,58,99,120,161,158,167,180,162,93,160,207,195,198,196,195,200,200,202,191,203,231,210,182,152,111,77,48,62,75,91,118,136,145,162,166,129,103,200,200,200,201,200,198,200,200,202,193,204,230,215,185,156,123,91,50,68,81,110,137,149,145,140,139,96,147,210,201,203,202,201,199,201,201,204,191,201,229,216,190,161,128,99,62,66,94,129,150,154,133,120,104,84,192,205,203,203,203,202,201,203,201,204,191,195,228,214,193,164,133,101,77,65,93,131,151,150,130,103,83,111,213,201,202,203,204,204,204,203,202,205,195,192,225,213,196,168,139,105,88,68,84,129,149,144,117,92,85,181,210,204,205,203,203,204,203,205,205,205,194,196,221,213,197,172,146,113,96,79,80,135,147,134,108,75,134,219,204,206,206,205,205,204,203,207,206,208,192,201,226,212,196,178,153,113,101,94,76,132,132,118,99,70,180,216,207,208,207,206,206,207,206,207,207,212,193,206,229,210,196,184,157,117,102,98,78,112,118,111,86,94,213,211,209,208,208,207,206,207,206,208,208,211,194,219,225,213,208,185,158,118,101,94,82,98,105,102,70,155,221,210,211,209,208,208,207,207,206,208,208,205,192,227,227,215,202,176,143,111,97,89,84,91,94,83,108,213,214,211,211,210,209,208,208,208,207,209,210,198,194,223,223,212,188,156,126,103,90,84,88,90,91,84,187,220,211,213,212,212,209,210,210,209,208
11,123,126,131,133,137,138,141,143,145,146,146,146,146,146,146,146,146,146,145,144,143,141,138,138,137,135,132,130,125,130,132,136,138,140,143,145,147,147,148,148,147,148,150,148,146,146,146,145,144,143,140,139,137,136,134,132,128,132,136,139,142,144,146,147,150,150,151,150,152,141,131,152,147,148,147,145,145,144,143,141,140,138,136,137,132,136,138,142,144,148,150,151,153,152,153,151,158,161,81,153,152,149,150,149,146,146,146,143,141,139,144,118,135,139,142,144,147,151,153,153,155,155,156,152,165,175,71,146,157,152,152,152,151,150,146,145,143,143,144,65,136,141,145,148,151,154,155,155,157,158,160,152,177,173,59,146,159,156,154,152,153,152,150,148,145,150,128,31,139,143,146,151,154,155,158,159,162,164,160,157,203,166,62,158,160,158,157,156,154,154,153,152,150,156,112,18,143,147,150,154,156,158,161,162,161,151,177,146,198,153,73,168,161,161,161,160,157,158,156,155,153,157,125,42,145,150,153,156,159,163,157,193,172,91,153,126,79,131,78,145,169,163,163,163,162,161,158,159,156,155,147,61,147,152,155,159,163,158,188,212,193,143,75,108,63,93,73,112,177,164,165,165,164,163,161,162,160,157,159,84,150,153,158,162,161,176,228,163,172,170,88,73,69,108,79,121,180,167,168,168,167,166,165,163,162,159,163,132,152,156,159,163,166,217,199,122,121,167,78,66,61,106,78,129,182,170,172,171,169,169,167,165,164,163,161,156,154,158,163,159,193,225,159,114,140,139,46,75,60,95,69,143,182,173,175,175,172,171,170,168,167,166,164,161,155,159,165,160,206,213,143,86,101,108,49,72,59,91,64,166,181,175,176,175,173,172,170,168,168,167,166,164,157,161,166,161,212,215,159,106,54,56,85,50,72,88,70,183,179,178,177,175,176,174,173,172,170,168,169,166,159,164,168,165,224,213,151,93,55,39,92,47,105,96,41,144,193,180,182,183,177,170,165,163,171,177,170,168,161,165,169,171,235,210,151,104,64,42,54,38,96,80,31,58,165,181,167,146,131,122,118,105,95,137,176,169,161,167,168,179,236,206,155,114,76,54,57,64,83,85,81,79,85,106,112,127,135,119,91,81,62,82,180,171,163,169,170,181,233,202,156,117,83,61,64,110,139,139,126,113,94,97,118,117,95,74,95,144,158,164,175,172,165,171,173,181,231,205,166,127,92,68,82,137,134,120,115,107,91,80,74,79,117,150,182,189,185,181,176,174,167,173,173,188,230,208,173,129,106,79,97,129,127,115,97,93,66,56,111,177,193,190,184,181,182,181,177,174,168,177,170,203,234,209,170,125,105,84,94,109,115,105,82,60,84,158,196,193,187,184,185,184,183,182,179,177,170,175,174,226,224,190,152,115,93,85,96,92,100,92,57,116,196,199,189,190,189,187,187,186,184,184,182,179,172,171,215,234,210,179,139,108,89,89,93,80,74,67,136,206,197,193,192,191,190,189,188,186,185,185,183,181,170,180,235,222,195,170,134,114,98,87,82,60,98,179,206,197,196,196,193,192,191,191,189,188,186,185,184,182,166,196,235,214,167,133,126,112,89,79,55,84,195,206,196,198,197,197,196,194,193,192,190,190,189,186,185,182,169,212,232,205,144,110,104,96,78,62,64,178,206,199,201,200,199,197,197,194,194,193,191,191,190,186,185,184,181,227,228,191,119,103,97,86,68,50,143,210,200,204,203,201,201,198,198,195,195,194,193,192,191,189,187,186
12,71,75,79,86,98,110,116,122,127,132,133,135,138,139,143,145,148,150,151,152,153,155,156,156,157,157,157,158,71,76,81,86,100,112,117,123,128,132,133,136,138,141,144,145,148,151,153,152,155,156,157,157,158,158,159,159,73,76,82,87,100,112,119,126,130,132,135,138,141,142,146,151,149,153,147,156,156,158,158,158,159,161,161,161,73,78,84,89,103,113,120,126,130,133,137,139,140,155,125,123,159,163,114,110,161,155,162,162,160,163,162,163,74,78,84,91,106,115,121,126,131,135,140,134,162,174,133,100,140,166,126,85,115,123,108,157,165,163,163,163,74,79,86,92,106,117,123,128,133,137,141,134,184,183,145,114,121,167,139,110,82,122,90,108,168,164,165,165,75,80,87,93,109,118,123,129,134,138,141,142,187,199,162,118,118,173,138,111,76,114,112,77,151,170,165,166,75,82,88,96,111,119,125,131,135,139,136,151,172,183,175,119,109,179,139,104,72,112,106,78,154,170,168,168,77,83,89,97,112,120,127,131,135,132,143,157,160,149,154,109,89,150,129,94,72,115,99,86,165,171,169,169,77,82,89,99,113,119,126,132,134,176,193,133,93,98,135,94,74,121,101,81,77,110,89,103,177,169,171,170,78,84,89,101,114,120,128,126,160,211,166,118,98,72,120,105,71,108,103,82,78,103,84,112,178,170,172,171,79,84,90,102,114,120,130,129,183,159,149,128,111,74,103,134,74,107,136,92,88,134,98,120,181,170,173,173,80,85,91,103,115,122,126,138,184,139,131,141,114,91,55,80,50,75,113,85,94,141,109,73,141,180,172,174,79,85,92,105,117,123,124,147,183,145,117,133,109,97,51,38,67,98,98,97,123,111,88,77,96,178,174,175,81,86,92,106,117,123,124,149,196,156,127,108,97,83,46,59,110,148,152,144,137,113,108,94,106,180,175,176,82,86,94,109,118,125,125,155,196,157,139,106,82,83,71,100,149,167,165,151,133,110,102,86,136,182,175,176,82,87,94,111,119,126,125,159,192,163,144,113,100,121,115,152,174,174,166,143,121,108,91,85,164,179,176,177,83,88,95,111,117,126,128,153,184,158,139,116,116,121,120,171,171,173,163,131,113,104,84,111,182,175,177,178,83,88,96,112,118,126,131,145,180,154,136,122,118,111,129,163,164,169,149,122,107,98,83,151,182,176,178,178,83,88,98,113,119,126,133,140,176,152,141,135,123,123,147,159,164,157,134,116,102,88,101,179,178,178,178,179,84,89,99,114,121,129,134,135,164,157,150,147,133,127,146,153,153,135,116,105,97,82,136,184,177,179,180,181,85,89,100,115,121,128,134,134,154,165,149,140,128,116,122,137,136,120,104,97,90,99,173,178,178,179,181,181,85,89,102,114,120,128,134,137,148,173,143,134,121,109,110,119,113,107,96,97,83,142,183,177,180,181,181,181,86,89,103,116,120,129,133,139,143,176,157,132,113,106,115,112,112,107,96,88,103,178,176,179,181,182,181,181,85,90,104,116,121,129,134,140,142,176,171,138,124,124,127,110,113,108,93,77,138,183,177,181,182,182,183,183,86,92,105,115,122,129,136,137,154,189,182,146,138,131,128,108,104,96,89,68,148,184,178,180,182,182,183,183,85,91,106,116,123,132,132,156,182,170,199,154,146,130,123,107,96,87,86,66,151,184,177,181,182,182,184,184,86,91,107,117,123,132,135,186,195,151,170,155,145,127,119,102,87,87,84,69,159,183,179,182,182,183,184,184
19,118,127,134,141,146,147,150,153,158,161,164,168,170,173,176,177,179,179,182,184,186,187,188,187,187,189,188,189,120,128,135,143,145,148,152,155,160,164,168,171,173,176,177,179,182,183,185,186,189,190,188,190,188,192,191,190,121,131,138,144,147,150,153,157,162,167,169,172,178,180,176,182,183,185,187,188,189,187,198,182,189,192,192,192,123,132,140,145,150,152,154,160,165,165,184,178,149,170,186,182,185,188,188,190,184,209,225,116,172,196,191,192,125,134,142,148,151,153,158,162,168,165,223,188,135,109,178,185,184,188,199,201,214,216,145,104,188,196,194,194,126,136,144,150,153,154,158,166,170,163,210,207,152,135,187,203,190,196,212,209,187,132,102,175,200,197,196,195,127,136,145,153,154,153,168,156,161,171,191,206,196,204,196,192,183,165,181,158,110,125,183,203,195,198,198,198,130,138,147,154,148,198,208,165,155,161,178,186,177,161,153,162,147,123,120,124,165,205,202,198,200,200,200,201,130,140,149,151,160,225,178,167,172,180,190,188,175,160,155,135,135,103,183,201,206,199,201,201,200,201,202,201,130,140,152,146,178,201,152,153,164,183,187,183,182,175,147,102,90,126,215,201,201,203,203,201,202,203,204,204,132,140,152,147,205,204,170,169,177,171,158,155,155,131,116,95,74,157,211,201,204,204,203,203,206,206,205,205,134,143,150,158,246,215,192,187,189,180,176,170,147,89,89,93,81,183,209,204,205,205,205,205,207,207,206,205,136,145,150,165,235,208,183,165,156,169,171,162,130,91,87,94,93,196,206,206,209,208,208,208,207,207,209,208,137,147,151,162,213,201,168,143,117,110,127,127,126,94,92,89,125,211,204,207,209,209,210,210,209,209,210,209,137,148,153,160,204,203,168,110,97,63,63,122,137,99,97,91,123,215,206,209,209,210,211,212,213,212,210,210,139,150,157,157,202,206,169,123,84,51,108,136,127,90,89,87,97,204,211,210,211,212,213,213,214,214,213,213,139,150,160,152,204,204,169,134,108,74,73,77,70,69,81,91,94,197,214,211,213,213,214,214,213,214,214,214,140,151,159,151,212,207,172,141,111,97,85,65,67,79,86,92,98,201,214,211,212,215,214,213,214,214,213,213,142,152,160,148,210,206,170,138,114,104,104,85,76,81,89,88,110,210,211,213,216,217,217,216,216,218,216,216,143,151,161,146,198,196,165,136,111,103,100,87,77,85,94,88,140,221,210,216,217,217,216,216,218,217,217,217,145,152,161,151,196,189,160,129,110,103,99,88,84,91,98,89,183,220,213,217,217,218,219,219,219,219,219,219,146,155,160,163,202,183,155,125,107,101,102,95,93,97,86,127,215,212,216,218,218,219,219,220,220,219,220,219,146,157,156,170,207,181,149,121,105,103,105,99,95,90,138,207,214,214,217,218,218,219,220,219,219,219,220,220,147,158,157,177,198,176,151,128,111,106,104,101,86,130,215,210,212,216,218,219,219,220,221,220,221,221,221,221,148,157,158,186,191,166,147,129,109,97,94,95,88,180,213,210,216,216,218,221,221,221,221,221,223,223,222,222,148,157,163,208,184,162,135,116,102,89,88,87,100,197,211,214,217,217,219,221,222,222,224,224,224,224,224,224,149,154,172,212,187,169,144,128,128,96,87,81,115,208,210,214,216,218,219,220,220,222,224,224,224,224,225,225,149,159,168,196,190,172,151,142,135,96,87,79,117,210,208,211,214,216,219,220,221,221,223,223,223,224,224,224
14,183,188,192,196,200,203,205,207,211,212,212,214,216,216,217,217,217,216,217,217,216,216,215,214,214,213,212,212,183,189,193,197,202,205,206,209,211,211,213,215,216,218,219,218,218,218,218,218,217,217,216,216,215,214,213,213,184,189,195,200,204,204,207,210,212,213,215,217,218,219,219,222,221,219,219,218,218,218,217,216,216,216,215,214,185,191,197,201,204,206,209,212,214,215,218,218,219,221,220,224,223,221,221,219,219,219,218,218,218,218,217,216,187,193,198,202,204,209,210,213,216,216,219,221,220,221,228,220,223,222,220,224,224,219,220,220,220,218,217,217,187,192,198,203,206,209,210,215,217,218,220,224,217,254,255,251,254,243,214,199,211,226,218,220,221,219,218,217,187,195,200,204,208,209,211,217,218,219,221,219,229,255,255,255,255,239,225,209,196,196,223,224,219,220,220,218,189,197,201,205,209,212,215,216,220,220,224,217,255,255,248,223,201,174,178,196,188,129,144,219,223,220,221,220,190,197,203,207,210,213,216,218,221,224,223,228,255,255,205,138,126,126,128,148,146,137,126,140,225,224,222,221,192,198,202,207,212,215,217,220,221,226,217,255,255,250,171,108,116,127,110,118,141,170,152,104,165,232,223,224,193,199,204,209,212,216,218,220,223,224,220,255,255,202,122,94,123,130,114,123,128,130,138,158,134,183,230,223,195,201,205,209,214,217,219,220,224,220,247,255,223,146,98,97,96,105,126,124,132,134,148,168,162,172,180,227,197,202,206,211,215,217,220,224,224,226,255,255,204,148,122,118,109,98,128,133,186,169,160,148,206,180,164,231,197,203,209,212,217,218,221,227,220,253,255,255,198,150,135,123,123,126,113,188,242,236,228,208,224,149,172,236,198,205,210,215,219,220,223,228,219,255,255,253,189,146,135,121,122,127,147,238,234,234,234,213,218,148,169,238,199,204,210,216,218,222,226,228,222,255,255,250,179,136,123,113,123,119,190,243,233,238,228,207,209,152,153,235,199,205,211,215,219,222,226,227,224,255,255,250,191,138,115,114,112,96,206,251,233,241,211,197,198,163,150,227,200,207,212,216,221,223,225,225,231,255,255,248,191,139,115,103,103,99,121,206,247,235,194,202,186,158,179,234,201,205,211,216,220,224,228,224,247,255,255,243,192,142,108,98,112,126,121,125,164,175,202,215,186,158,225,235,201,206,212,216,221,225,231,222,255,255,255,238,194,145,108,97,112,122,128,144,141,160,207,199,161,195,240,232,200,207,213,216,222,226,231,223,255,255,255,231,197,149,112,103,114,122,141,166,170,167,194,170,174,239,235,234,198,204,213,216,220,225,228,227,255,255,255,228,213,152,119,121,133,145,166,175,166,161,166,153,220,240,234,235,198,207,214,218,222,226,226,231,255,255,248,243,217,144,135,126,146,163,178,169,159,154,143,185,242,235,236,235,201,208,214,219,224,227,226,235,255,255,252,255,214,161,149,126,151,172,178,163,152,144,194,241,239,239,239,236,200,208,215,219,223,227,226,238,255,255,255,255,224,179,152,131,145,169,170,158,143,165,247,240,240,240,239,237,200,208,215,220,224,228,226,246,255,255,255,255,227,181,154,138,141,162,159,152,141,214,246,240,242,240,238,235,201,207,213,218,223,228,223,251,255,255,255,255,212,173,154,143,143,153,151,141,189,245,241,242,241,239,238,235,199,204,210,215,220,225,220,255,255,255,255,231,192,164,152,147,149,150,146,186,244,241,242,241,239,238,236,234
7,156,168,177,183,187,189,191,192,195,198,199,200,200,202,203,203,203,202,201,201,200,197,196,195,194,192,191,189,157,169,177,183,188,191,192,193,197,200,201,202,203,203,204,204,204,204,203,202,201,200,198,196,196,195,193,190,159,171,179,184,189,191,194,195,198,201,202,204,204,205,207,207,206,205,205,204,202,201,200,198,198,196,195,193,160,171,180,185,190,193,195,197,200,202,202,205,207,208,208,208,207,207,207,207,205,203,202,202,200,199,197,195,161,171,180,187,191,195,196,199,202,203,204,207,207,208,209,209,209,209,208,208,206,204,204,203,202,200,199,196,163,172,182,187,192,195,196,200,203,204,207,208,208,209,209,210,210,210,208,208,207,206,206,205,203,201,200,198,163,174,182,188,194,196,197,200,203,204,207,208,209,211,212,215,217,217,215,213,213,212,209,208,207,203,201,200,163,173,182,189,194,197,199,204,208,210,211,211,209,207,204,196,188,185,184,186,173,161,176,179,191,206,201,202,164,174,183,189,195,199,197,185,178,172,171,171,163,150,143,150,123,127,135,134,131,130,176,171,156,210,203,202,166,175,183,189,194,197,180,148,134,143,144,149,149,141,133,124,120,120,124,116,125,122,132,125,158,206,207,204,167,175,184,188,193,187,169,137,117,124,126,128,132,135,136,137,138,122,122,133,126,122,116,109,127,146,176,208,166,177,184,184,180,170,162,146,130,125,133,143,148,150,150,146,140,113,113,135,124,115,115,105,120,136,131,205,172,182,180,177,170,168,165,152,146,147,152,159,149,146,143,138,118,103,104,106,99,95,95,92,97,109,154,210,189,183,179,177,176,174,159,132,112,121,134,135,123,115,111,105,101,116,132,149,158,168,173,178,182,190,208,208,190,185,185,182,172,154,149,112,97,112,109,91,113,160,173,191,201,213,222,226,226,224,223,222,219,216,210,209,187,187,184,170,152,149,138,109,97,88,77,70,86,124,125,174,231,221,218,217,217,216,215,214,212,211,210,209,189,187,172,155,145,138,140,139,116,87,83,88,84,75,66,69,206,225,220,220,219,218,218,216,216,212,211,210,186,172,151,144,142,141,150,155,125,88,87,90,90,89,83,83,209,225,221,221,221,220,218,218,217,215,214,210,164,150,139,138,135,129,134,129,99,82,75,74,82,82,79,72,199,227,220,221,221,221,219,218,216,216,213,211,148,142,137,136,131,117,115,106,90,73,65,77,86,87,75,81,198,228,220,222,221,220,218,218,216,216,213,210,143,136,130,124,115,102,100,107,103,84,87,96,93,77,93,205,227,223,223,223,221,220,218,217,217,215,214,211,131,120,116,112,110,109,117,125,111,90,81,79,88,109,197,229,222,223,223,222,221,220,218,216,216,215,214,211,126,122,121,116,112,112,116,111,88,84,133,169,196,220,223,218,221,220,220,220,219,218,217,215,214,214,211,210,120,121,118,111,103,98,94,93,119,185,220,223,222,218,218,221,221,220,220,220,219,218,217,216,216,213,211,209,90,91,105,104,105,113,144,185,212,217,212,214,216,218,219,221,222,221,221,220,219,217,216,216,215,212,211,208,45,49,175,176,186,199,208,209,208,210,213,216,216,217,218,219,219,218,218,218,218,216,216,215,212,210,209,207,23,65,189,188,197,198,198,204,208,211,213,217,219,221,220,221,221,220,221,221,221,220,218,218,215,214,213,210,15,97,206,188,191,193,194,195,195,196,194,194,196,196,195,192,189,189,188,184,180,178,176,172,169,164,159,129
15,175,167,149,155,123,117,164,63,63,99,96,99,102,105,108,119,131,142,151,154,157,164,168,171,174,177,179,182,181,168,150,160,118,131,163,54,71,99,97,99,103,106,110,122,133,145,153,155,160,167,170,174,177,180,183,186,186,166,153,164,111,145,157,46,79,101,98,100,104,107,111,125,136,147,155,157,162,168,173,177,180,183,185,188,189,168,158,165,107,160,146,42,87,100,99,101,104,107,113,127,139,149,156,159,165,170,176,179,182,185,188,190,190,168,163,165,107,174,133,43,94,100,100,103,107,107,114,128,141,152,158,161,166,173,178,182,184,188,190,192,189,167,168,159,108,182,118,43,98,99,99,101,103,104,116,131,143,154,160,162,168,175,180,185,188,190,194,195,190,167,171,152,113,190,104,51,106,103,108,114,122,119,115,132,145,158,165,166,173,182,188,189,190,193,197,199,188,171,179,153,137,157,136,131,129,128,137,139,135,125,118,120,126,136,148,157,163,164,169,188,202,198,198,203,182,176,173,140,138,139,133,131,119,122,122,118,115,118,128,125,124,124,124,130,140,135,125,125,151,198,211,205,183,174,152,128,127,124,122,118,116,119,119,119,118,125,134,134,128,125,121,127,142,140,133,120,101,114,174,215,183,173,177,125,132,128,106,109,111,118,120,119,120,130,134,131,127,122,123,136,134,133,133,126,118,105,98,134,180,174,184,115,172,169,51,90,106,102,105,106,111,120,133,138,134,123,130,133,135,133,134,124,120,122,114,97,179,182,182,112,183,155,41,93,105,100,102,105,106,109,126,155,181,152,140,135,132,133,129,130,120,130,127,112,180,185,178,113,195,141,41,99,104,101,102,106,107,112,127,181,176,154,131,133,124,116,120,129,121,140,138,121,184,186,172,118,201,126,41,103,103,100,103,106,109,107,156,187,151,140,96,99,104,83,103,143,131,149,140,125,187,190,163,123,204,111,46,107,102,101,103,106,105,119,188,163,140,127,97,68,71,53,109,169,155,151,127,121,189,192,155,132,208,97,51,109,102,102,103,107,100,168,201,149,131,113,84,66,63,50,130,176,169,153,122,115,189,196,146,142,207,84,58,111,102,102,103,107,101,177,194,161,130,105,66,61,59,64,145,176,183,162,126,111,192,201,139,155,203,71,65,112,102,102,104,107,101,140,200,182,148,112,68,58,88,87,125,174,182,158,127,114,194,205,131,169,203,62,73,112,102,101,103,106,107,115,191,203,171,123,76,52,89,113,136,173,160,138,125,106,196,206,126,182,198,53,80,112,101,100,101,105,107,113,162,217,183,144,118,103,109,155,163,150,128,116,119,104,199,203,121,195,186,46,86,109,100,99,100,102,103,118,139,203,201,187,178,172,178,166,130,115,109,107,108,103,202,199,122,206,173,42,92,106,99,98,99,101,103,118,138,196,185,156,149,159,172,154,112,101,105,94,107,113,203,191,123,216,157,41,98,106,98,97,97,100,105,113,175,195,148,145,145,154,174,154,108,97,95,125,101,94,205,183,130,223,141,35,99,101,95,94,96,100,104,113,191,175,145,139,139,144,161,152,116,95,181,213,95,84,207,175,135,225,131,57,110,106,97,96,95,96,99,113,166,164,145,142,132,123,138,139,112,98,217,222,102,89,210,167,148,213,172,144,143,145,141,138,134,135,137,138,144,153,157,179,181,124,103,163,129,125,201,207,108,94,211,159,157,210,179,126,124,131,130,131,131,136,136,135,130,132,135,136,190,172,112,137,139,134,143,142,106,97
22,23,62,80,82,86,89,92,104,119,130,136,139,142,145,149,152,157,157,159,163,163,163,165,164,163,164,163,162,21,66,80,83,86,91,93,105,120,132,138,140,143,148,151,154,157,158,163,146,158,165,166,167,165,165,163,162,24,71,81,84,88,92,94,107,122,133,138,142,144,149,154,157,158,161,175,106,137,170,161,153,168,166,165,164,28,75,82,85,88,92,95,108,123,133,140,143,148,147,155,159,159,168,176,102,143,174,146,109,168,167,167,166,33,76,83,86,90,93,97,110,124,134,140,157,159,106,155,160,160,179,176,100,152,182,135,110,172,170,168,168,39,78,83,87,90,94,98,111,126,138,142,159,147,88,149,162,161,187,171,103,162,189,130,123,176,172,171,170,45,81,84,87,91,94,99,112,128,139,145,154,154,93,140,166,164,184,157,103,172,189,123,142,176,174,173,172,51,83,85,88,92,95,100,115,128,140,147,150,157,102,125,168,167,177,143,99,179,183,110,155,178,175,174,174,55,83,86,89,93,96,101,117,129,141,148,149,160,115,108,167,170,170,133,103,192,163,99,168,179,178,177,177,60,84,86,89,93,95,101,117,132,142,148,148,161,122,90,156,172,156,124,105,198,145,106,179,179,179,179,178,66,85,86,90,93,96,103,119,133,143,149,149,164,149,100,136,166,142,111,122,195,127,117,183,180,181,181,179,72,85,87,89,93,97,103,120,133,143,149,150,162,173,112,108,150,141,127,172,181,111,132,185,182,182,182,182,77,86,87,89,93,96,104,121,134,144,150,162,139,146,98,97,135,161,188,193,161,99,151,186,183,183,183,183,81,86,87,90,93,97,105,121,134,144,155,171,138,124,102,114,140,175,197,186,147,95,168,186,185,185,185,184,83,86,88,91,94,98,106,121,133,144,153,161,174,172,134,90,113,156,178,176,145,94,176,188,187,186,186,186,85,86,87,90,95,97,106,123,135,145,153,171,185,189,134,94,92,120,143,153,130,93,177,190,188,187,187,187,86,87,88,90,94,97,107,124,137,147,151,186,172,155,141,123,98,97,104,109,114,91,169,192,190,190,189,189,87,87,88,90,95,98,107,124,137,147,152,185,169,143,154,147,123,102,95,86,97,88,160,194,192,192,190,190,89,88,88,90,94,97,107,124,137,147,151,189,183,156,145,158,147,135,111,85,84,86,156,196,193,194,193,192,88,87,87,90,93,97,109,125,138,149,152,189,189,165,149,199,159,148,116,91,86,85,158,197,194,194,194,193,87,87,86,89,93,97,109,125,140,150,154,180,201,160,167,218,166,138,112,97,93,88,165,198,195,195,194,194,88,88,87,90,93,97,110,126,139,150,154,169,196,149,177,206,166,135,113,104,94,91,175,198,197,197,196,196,88,88,88,89,93,99,111,127,139,150,155,161,183,152,173,191,169,146,115,102,97,95,176,198,197,197,197,197,88,88,88,91,94,98,112,127,139,150,155,158,174,168,175,182,163,140,114,100,97,95,176,200,200,200,200,200,88,87,88,91,94,98,113,128,141,151,155,158,168,177,167,167,153,121,107,100,95,89,174,202,201,201,201,200,89,86,86,89,93,97,113,128,141,151,155,158,166,175,156,147,149,115,108,103,93,80,162,204,201,201,201,200,88,86,86,88,91,96,111,127,140,150,154,159,167,167,141,145,166,151,129,106,94,79,137,203,199,200,200,199,86,84,85,87,90,95,110,126,140,149,153,158,165,171,171,178,177,162,148,115,90,80,103,195,198,200,200,199
20,35,39,44,54,76,95,102,108,120,127,132,137,142,150,141,153,158,153,155,154,154,154,155,153,153,152,151,148,35,40,45,56,80,100,107,114,126,133,138,143,145,182,113,110,149,160,161,160,159,159,159,158,156,156,156,154,37,42,46,60,84,103,111,119,132,140,146,152,152,199,126,112,115,120,176,164,165,164,163,164,162,160,161,160,38,43,47,64,89,106,113,123,137,145,151,158,158,206,129,118,158,68,168,174,171,170,169,169,167,166,166,164,38,44,47,66,91,109,116,127,141,149,156,162,164,202,125,97,178,61,132,187,175,177,176,174,172,172,171,169,39,44,47,69,94,112,119,130,144,152,159,167,169,202,154,81,171,88,101,193,180,182,181,179,178,178,176,175,39,45,49,73,97,113,121,133,147,156,162,169,170,207,162,76,170,125,82,191,188,187,185,185,184,183,181,179,41,45,50,75,97,115,123,136,150,159,167,174,174,210,148,70,161,133,69,184,195,191,190,189,188,188,186,185,42,45,52,76,100,118,125,138,153,162,170,177,178,221,165,72,162,163,71,175,201,194,195,194,193,192,191,189,42,45,52,78,102,121,127,141,155,165,171,177,181,210,158,68,148,178,81,162,207,197,198,197,197,197,195,192,43,46,54,80,105,122,128,145,159,166,177,176,147,188,109,53,141,173,78,146,214,201,201,201,201,200,195,194,42,45,56,82,107,123,132,147,162,169,186,214,182,178,147,54,118,165,72,129,219,203,203,201,202,206,212,205,42,43,57,85,110,126,133,149,162,166,187,233,217,137,146,122,84,93,58,115,216,202,212,218,211,189,139,67,43,44,58,87,113,128,135,150,175,160,155,164,204,151,74,111,129,76,34,83,226,213,179,125,80,38,6,9,41,44,61,90,114,129,137,149,200,222,174,96,141,200,96,41,105,124,65,45,141,77,25,7,5,18,25,19,39,40,60,90,115,129,138,153,190,192,206,138,73,179,187,59,67,134,129,66,12,2,5,12,11,2,22,16,37,39,59,90,116,128,137,157,179,107,119,159,129,134,189,92,65,120,144,112,42,3,6,0,18,2,5,18,36,39,61,91,117,130,139,158,192,154,93,77,142,129,77,67,58,70,130,129,83,24,11,0,0,12,0,7,31,33,59,93,120,132,143,160,198,165,90,68,78,91,85,105,113,100,130,124,100,48,0,16,0,1,1,2,68,69,76,89,106,114,125,132,181,155,106,100,102,116,136,160,191,195,157,93,88,48,0,9,10,0,0,0,74,75,75,71,75,77,82,70,132,197,155,110,107,142,164,201,221,196,149,89,67,35,0,0,16,3,0,0,76,77,80,83,83,83,87,81,107,203,169,130,110,152,165,209,218,189,143,91,63,34,0,0,5,7,5,0,78,80,80,83,83,85,88,86,91,195,191,162,111,159,163,201,206,169,131,93,63,33,0,0,0,7,5,1,78,78,79,80,80,83,86,89,81,171,199,175,119,158,159,176,197,168,126,91,63,23,3,0,0,5,3,0,77,77,79,79,81,82,84,87,79,128,195,178,134,163,139,147,177,180,127,84,62,6,7,0,0,0,4,0,77,77,79,78,81,82,82,86,87,86,168,191,154,163,133,120,161,167,116,72,53,0,5,0,0,0,4,0,76,78,79,79,80,82,83,84,87,81,110,187,167,154,133,99,127,139,100,74,31,0,0,8,0,0,0,0,75,76,78,78,80,81,82,82,84,87,81,164,179,148,125,103,97,117,99,79,0,0,0,10,0,0,0,0
7,208,208,208,208,207,208,208,209,208,207,205,205,202,179,203,200,188,176,169,165,152,141,132,104,89,63,97,184,209,210,210,210,209,209,209,208,208,209,208,207,206,197,201,205,190,171,149,143,128,107,95,79,76,58,108,190,211,211,211,212,212,212,211,212,211,212,210,210,207,198,204,204,195,181,148,124,100,83,73,67,64,66,109,191,213,213,213,214,214,214,214,215,214,213,210,209,215,203,201,203,198,194,190,179,155,121,90,72,77,71,109,193,213,214,213,213,214,214,215,215,214,213,212,215,183,186,206,201,196,197,200,194,196,159,107,88,86,76,111,194,215,214,215,214,214,215,215,215,215,215,217,209,141,157,214,206,199,199,202,192,196,159,90,93,92,84,106,195,216,216,215,216,216,216,216,216,216,213,222,186,156,212,188,200,201,193,203,195,189,144,93,96,97,96,76,121,219,217,218,217,218,218,218,219,220,220,219,185,217,249,196,152,190,191,192,187,174,133,101,99,101,98,68,79,220,219,220,220,220,223,223,217,209,201,202,234,240,231,239,194,156,176,187,182,168,143,113,104,106,98,64,78,220,220,221,223,221,211,198,185,176,163,130,126,151,173,183,176,153,140,156,168,166,148,119,111,110,95,81,154,224,222,213,204,190,179,177,174,172,163,124,99,115,131,134,130,137,137,121,122,136,132,122,119,109,90,109,186,198,188,180,175,176,180,177,172,170,151,120,113,114,120,127,131,134,135,121,108,120,111,118,117,113,96,138,146,179,182,185,183,181,184,183,185,177,159,125,108,116,124,127,126,131,128,115,109,114,114,122,120,147,126,172,116,188,186,186,182,184,189,189,185,179,166,123,100,115,127,137,133,133,130,123,118,111,125,117,116,132,127,123,66,185,185,189,189,187,183,184,178,173,147,110,110,119,122,126,126,126,125,124,115,115,129,120,118,113,126,136,113,193,192,188,188,184,185,184,179,175,145,101,100,99,95,98,102,109,112,107,114,109,115,115,110,109,116,132,120,192,192,187,186,186,188,179,176,187,165,100,87,89,85,113,123,111,154,176,139,140,102,101,115,108,103,95,93,183,185,187,183,182,180,172,180,183,151,104,93,96,93,93,104,113,134,144,123,110,120,124,126,79,88,108,84,176,175,181,178,174,172,170,172,168,133,99,100,100,99,94,91,175,183,126,106,105,131,179,90,45,57,119,130,171,171,170,173,172,169,168,170,170,126,91,82,96,105,93,117,162,103,124,106,103,135,129,49,90,79,110,161,168,170,167,171,171,169,170,169,170,126,88,75,77,93,87,97,112,92,99,96,100,109,104,113,118,108,121,159,170,163,155,157,156,155,157,156,145,115,88,81,89,100,96,94,142,100,146,130,115,103,140,104,87,90,120,153,154,156,145,133,129,128,127,122,102,95,94,132,127,109,122,103,124,126,157,95,84,72,138,115,95,104,95,124,136,141,129,117,109,113,115,113,138,186,187,190,157,130,124,119,90,90,138,81,98,69,93,133,92,109,87,98,127,128,142,150,156,162,194,172,181,189,191,162,178,200,200,123,100,88,112,114,90,81,134,97,93,111,85,96,168,128,214,235,216,186,216,135,183,165,185,195,188,185,205,158,85,135,101,99,79,128,208,126,92,111,94,91,170,135,186,213,214,199,199,119,171,145,176,191,185,186,189,178,135,177,171,121,59,151,193,139,132,173,119,88,143,150,200,216,222,224,198,157,115,131,177,183,176,156,166,174,183,166,183,145,68,145,169,133,164,189,155,99
3,116,124,129,132,135,139,144,149,151,152,154,155,156,156,157,158,159,158,159,159,159,159,159,160,160,158,157,157,119,127,133,136,139,143,148,152,154,156,158,159,160,160,161,164,164,132,155,163,162,162,163,163,162,162,161,160,125,132,137,142,145,149,154,157,159,162,163,164,165,166,166,171,171,109,136,169,168,169,168,167,166,166,165,164,130,136,141,146,150,154,158,161,164,166,168,169,170,171,172,175,172,103,114,174,173,173,173,171,170,170,168,167,134,140,145,150,154,158,162,166,169,171,172,173,175,176,177,179,177,104,101,174,178,178,177,176,175,173,172,172,137,145,150,153,158,162,167,171,173,176,177,178,179,181,181,183,187,118,96,174,182,182,182,181,180,179,177,176,140,148,154,157,162,166,171,174,177,180,181,182,184,185,185,180,190,121,89,169,187,186,186,185,184,183,181,179,143,151,156,160,165,169,174,179,181,183,185,186,185,191,204,168,137,116,100,165,191,190,190,189,188,187,184,182,147,154,160,164,169,173,178,183,186,187,190,194,177,168,214,190,129,160,117,157,195,193,193,192,191,190,188,187,150,157,162,166,172,176,181,186,189,188,182,206,201,167,188,196,150,169,99,125,198,196,195,195,193,193,192,191,153,159,165,169,175,179,184,188,192,200,183,172,201,181,164,188,145,167,120,97,177,201,199,198,197,196,195,194,155,162,167,172,178,182,186,190,195,208,207,168,146,185,151,178,145,154,153,110,129,203,202,201,200,199,197,197,157,164,169,175,180,184,189,193,197,182,171,153,102,158,128,167,176,127,157,122,112,202,205,204,202,202,201,200,159,167,172,176,181,186,192,196,200,176,139,147,96,136,125,113,115,77,140,126,112,203,208,207,205,204,204,202,162,169,174,179,184,188,193,196,203,198,160,136,110,117,157,104,49,71,162,134,108,200,209,209,207,206,206,206,163,170,175,181,186,190,194,198,205,198,145,105,86,77,123,96,69,119,185,137,97,188,212,210,209,208,207,207,165,172,177,182,187,192,196,200,206,202,164,124,96,74,81,110,144,171,172,127,95,183,215,213,212,211,209,208,167,173,179,184,189,194,198,201,208,213,178,131,105,102,116,178,214,197,153,110,101,196,216,215,214,213,212,211,168,174,180,185,190,196,200,201,208,216,189,147,126,124,137,208,220,184,142,98,112,209,217,216,216,215,213,211,168,175,181,186,192,196,200,203,207,213,196,162,136,126,147,210,210,169,130,92,132,218,218,218,217,216,215,214,168,174,181,187,191,195,199,204,207,209,196,166,144,140,146,204,201,158,117,89,158,221,220,219,219,218,216,215,169,175,181,187,192,196,199,203,206,205,195,172,158,151,138,193,184,145,106,92,183,222,219,218,219,218,216,215,170,177,182,188,193,197,200,204,207,207,196,178,160,151,128,167,166,129,98,104,202,221,219,219,218,217,216,215,171,177,183,188,193,198,201,204,207,207,205,182,160,141,114,140,137,107,94,146,219,221,220,220,219,218,208,185,169,177,183,188,194,199,202,205,208,207,214,182,158,130,112,123,114,99,109,196,218,219,215,214,209,202,178,149,124,129,134,140,147,152,157,163,168,199,213,185,163,134,122,118,107,92,145,213,194,186,196,169,177,187,145,138,99,101,102,104,105,104,104,107,113,188,205,181,165,152,129,112,97,92,186,227,193,169,173,169,149,168,120,148,102,103,106,107,106,109,113,112,124,198,196,167,158,157,122,103,88,113,179,214,195,174,147,171,150,142,115,161
23,153,156,160,163,166,169,171,173,174,175,175,175,175,175,175,173,173,173,172,170,169,168,168,168,166,169,180,189,156,160,164,167,170,174,176,177,179,179,180,179,179,179,180,178,178,177,174,173,172,172,171,170,169,169,157,150,160,164,168,171,175,179,181,182,184,185,185,185,184,183,184,183,178,177,180,177,176,176,176,174,173,172,160,115,164,168,172,176,179,183,186,188,189,190,191,192,192,201,213,211,185,159,170,179,181,180,180,177,176,176,174,143,167,171,176,180,183,187,190,192,194,195,199,219,220,224,228,213,197,182,174,169,169,185,184,182,180,179,178,174,170,174,179,182,186,190,194,196,198,199,211,230,207,180,172,143,152,166,160,139,147,188,188,186,184,183,182,180,173,177,181,185,189,194,197,200,201,202,224,222,197,119,128,160,179,165,148,150,182,194,192,190,188,187,185,183,175,180,183,188,191,195,199,202,204,208,232,219,198,154,173,176,205,204,201,201,200,199,198,196,193,191,189,187,178,182,185,190,194,198,202,205,207,215,229,219,224,225,192,120,186,210,207,204,204,202,201,201,198,195,193,192,180,184,188,192,196,200,204,207,209,221,231,236,241,228,186,119,175,202,209,209,208,206,206,205,203,200,198,196,181,186,189,194,199,202,205,209,211,229,241,238,219,210,175,168,214,165,160,183,199,210,209,208,207,205,203,160,184,188,192,196,201,205,207,212,224,234,229,209,191,200,186,190,210,158,99,90,116,181,214,211,209,209,188,92,186,190,194,198,202,206,214,227,232,223,212,212,216,221,212,177,166,148,97,78,84,131,215,213,212,212,144,75,187,192,196,200,204,219,227,226,224,225,230,233,228,216,198,157,105,130,106,89,88,130,217,216,217,201,101,72,188,194,199,202,207,226,218,214,210,209,217,215,201,186,173,139,81,76,92,92,89,139,215,191,164,123,77,71,190,195,200,203,212,234,222,202,197,202,205,205,198,189,175,136,83,55,84,101,98,106,118,91,68,63,67,69,192,196,200,204,213,229,220,206,206,211,215,208,189,175,159,120,84,64,101,121,107,66,51,62,59,61,65,64,194,197,201,206,210,218,221,218,217,208,203,167,142,143,137,112,82,63,88,118,107,66,45,47,48,62,61,60,194,198,202,207,211,215,220,218,211,191,164,124,83,99,133,111,77,72,93,107,94,59,53,49,45,50,55,52,195,200,204,209,212,212,213,223,218,173,130,98,72,100,138,103,69,80,96,101,78,55,50,50,51,47,47,49,195,199,203,208,211,209,208,227,209,138,99,69,72,99,97,75,80,94,96,92,65,57,54,43,43,49,48,51,196,199,204,208,211,207,205,221,191,136,104,73,53,56,64,80,96,106,103,80,49,53,57,47,36,40,43,54,196,200,205,209,212,203,206,222,191,140,111,80,58,64,88,103,112,112,102,70,40,43,55,54,40,34,39,43,196,201,205,209,212,202,213,225,196,147,118,92,73,75,103,113,116,110,92,59,40,41,47,55,46,33,36,35,197,202,206,211,214,204,211,220,196,155,124,104,83,78,96,113,116,109,78,43,41,41,43,48,51,38,31,34,165,170,175,180,186,184,208,213,192,155,126,114,91,84,87,110,116,103,60,36,41,37,38,42,45,44,29,29,116,118,120,122,120,137,202,205,182,147,129,126,95,88,90,103,108,76,52,43,40,36,31,38,40,42,34,24,120,121,122,123,115,123,201,194,167,138,139,131,96,91,90,99,76,42,49,46,44,38,29,32,37,38,36,22
7,43,56,74,105,119,129,137,140,142,147,150,152,153,154,156,157,158,157,156,154,152,152,150,148,146,144,141,138,43,57,76,107,121,131,138,141,145,150,152,155,156,157,159,160,160,160,159,157,155,155,153,151,149,147,144,142,45,59,78,108,122,132,139,143,147,150,153,157,158,160,161,162,163,162,161,160,159,157,155,154,151,150,147,145,48,60,80,109,122,134,141,145,148,152,156,158,160,162,163,165,165,165,164,162,161,159,157,156,154,153,150,147,49,61,82,111,124,135,142,147,149,154,158,159,161,162,163,166,166,166,165,162,162,161,159,158,157,155,152,150,51,62,84,112,125,135,144,148,151,155,159,161,163,164,165,167,170,170,170,171,170,167,166,161,159,156,153,151,52,63,84,114,126,137,144,147,150,155,161,164,168,171,169,169,166,163,156,142,142,143,155,165,160,159,157,154,53,64,84,114,127,138,146,153,154,155,154,153,142,134,123,96,98,102,92,81,133,138,106,171,162,160,159,156,54,65,87,115,127,138,145,128,117,110,114,112,94,85,78,59,74,63,65,69,83,77,95,157,167,163,159,157,55,65,89,115,124,147,133,85,87,97,96,92,85,74,73,72,66,75,75,69,61,53,71,97,116,167,160,158,55,68,88,117,143,147,116,72,57,58,66,79,91,98,100,79,53,87,82,61,56,42,55,77,69,164,163,159,57,62,100,143,142,126,115,99,90,94,109,110,103,96,85,55,41,49,41,31,34,37,45,67,124,171,162,161,48,89,146,141,130,132,114,91,84,90,98,85,78,69,44,33,55,83,109,130,149,159,167,173,176,169,165,161,91,155,147,137,136,120,92,44,46,61,48,30,22,35,114,157,172,187,189,187,184,180,177,173,172,170,166,163,157,153,142,140,114,95,73,32,32,21,0,0,0,5,14,106,192,175,177,177,177,177,177,176,173,170,168,164,145,144,145,124,101,89,79,67,38,15,19,22,19,14,0,36,191,178,181,180,180,179,179,177,174,170,170,166,143,146,127,98,88,83,97,103,52,18,23,22,19,16,8,13,169,186,181,181,181,180,179,178,175,171,169,166,142,121,92,78,77,74,79,68,25,6,0,0,11,15,0,0,155,189,181,182,180,180,179,178,175,172,169,167,113,91,83,81,77,61,49,35,19,2,1,25,32,16,15,154,186,182,183,183,180,179,178,177,176,173,170,167,88,87,79,70,56,40,32,45,45,24,20,15,10,15,117,189,178,180,180,179,178,178,177,174,173,170,168,165,87,74,57,50,45,43,50,64,46,9,21,67,112,161,184,176,180,181,179,178,178,178,176,175,172,170,167,162,76,67,60,60,54,44,37,28,11,55,145,179,182,180,176,178,178,179,178,177,178,177,175,175,172,169,164,159,37,35,41,37,28,24,26,61,117,163,171,167,169,174,176,177,178,178,179,179,179,178,176,175,172,170,167,167,3,0,0,1,111,112,140,161,167,161,166,171,173,175,177,179,179,177,177,175,173,172,169,166,165,166,161,105,4,0,0,5,130,105,105,98,96,97,97,94,92,92,94,93,88,84,84,81,78,73,69,71,53,26,5,0,0,0,0,9,62,51,54,55,55,57,55,55,57,56,56,54,54,55,52,50,48,48,49,29,0,0,0,0,0,0,0,32,72,66,65,64,65,65,64,64,64,64,64,63,63,64,63,59,58,46,1,0,0,0,0,0,0,0,0,16,68,63,63,64,64,64,65,64,64,63,63,62,59,56,56,57,27,0,0,0,0,0,0,0
0,212,212,214,213,213,215,216,215,216,216,215,216,216,215,215,214,216,219,216,215,216,215,216,215,214,214,215,215,213,214,214,214,214,214,215,215,216,218,216,216,216,217,217,222,205,190,214,220,215,220,218,217,218,216,217,217,214,215,215,216,215,216,216,216,217,218,218,218,212,193,208,234,194,168,164,187,179,188,219,202,194,219,217,219,214,215,216,216,217,218,217,217,217,219,221,237,213,183,167,218,199,190,151,131,171,159,175,193,152,223,217,219,216,216,217,217,219,218,219,218,219,202,219,245,211,197,167,220,210,196,161,142,186,169,148,188,150,219,220,220,216,216,217,218,219,220,216,226,236,186,172,235,220,205,167,216,229,201,164,152,198,169,134,175,145,207,224,220,216,216,218,219,220,220,217,239,234,201,175,213,239,206,166,205,237,204,160,155,202,163,122,167,145,166,231,217,217,217,218,220,221,217,232,227,229,212,187,183,243,204,162,188,241,200,154,136,185,156,114,158,162,123,215,224,218,218,219,221,219,224,233,205,234,221,191,161,234,205,161,160,230,187,144,117,162,147,111,160,171,117,193,230,219,219,221,221,219,232,218,185,222,223,192,150,215,203,158,136,203,177,144,116,145,136,110,173,178,126,192,231,219,220,221,220,221,233,220,194,206,210,181,138,186,193,154,118,179,173,145,114,148,133,131,197,189,132,194,232,218,218,220,218,227,225,206,179,178,199,172,133,163,188,150,104,160,174,135,112,163,132,168,211,189,133,197,232,217,218,219,217,228,238,215,186,153,191,170,124,154,187,151,100,159,183,136,172,197,156,171,211,190,135,207,230,216,219,221,218,226,241,220,192,150,151,174,135,146,196,160,106,153,190,188,210,200,181,153,185,187,134,211,228,218,220,221,218,230,242,226,203,175,139,158,155,143,201,176,167,203,210,208,198,188,172,159,145,156,126,210,229,219,220,221,218,229,243,231,210,189,176,166,170,187,197,209,224,224,217,205,196,180,161,154,139,131,121,208,230,219,220,221,219,229,241,234,217,202,194,185,176,188,207,217,222,223,221,206,192,177,157,144,137,127,124,219,228,218,220,222,220,227,237,236,225,214,205,192,185,184,201,214,220,218,215,203,186,175,155,141,134,120,177,233,226,219,221,223,219,219,236,235,235,223,210,194,188,187,201,216,223,215,208,199,184,170,151,137,120,166,230,225,226,211,212,216,217,211,231,236,240,224,211,198,188,188,203,220,220,212,204,196,182,164,146,125,143,229,229,229,229,148,149,152,157,149,216,236,234,221,212,201,189,184,203,216,210,199,192,185,172,154,141,121,185,221,217,221,220,135,137,137,138,122,188,236,219,215,214,206,193,182,200,212,202,187,174,164,156,145,134,133,145,149,147,144,155,141,141,142,144,130,177,232,209,215,217,207,193,182,196,210,197,177,155,145,140,132,136,141,135,131,145,183,217,140,139,139,142,132,169,231,204,216,216,204,195,184,192,205,191,163,138,133,128,140,142,141,154,192,231,239,228,140,139,138,142,134,165,240,215,217,213,199,193,185,182,191,182,148,131,127,133,140,152,206,237,249,238,228,218,138,138,140,141,133,160,242,224,221,211,198,194,190,175,184,176,140,128,126,132,171,233,252,248,243,237,241,234,141,139,139,142,134,158,233,227,225,209,198,196,191,170,179,172,137,122,121,187,240,242,245,245,231,231,241,244,141,139,140,142,134,158,226,226,222,204,195,195,193,167,173,167,136,109,165,244,228,243,240,232,228,232,238,243
8,209,211,212,213,213,214,215,215,216,215,214,214,215,215,216,216,215,215,213,211,210,208,207,207,205,205,203,201,212,213,213,214,215,216,217,218,218,218,216,217,217,217,218,217,216,215,214,213,212,210,209,209,207,206,204,202,213,215,215,216,219,219,219,219,219,223,230,198,219,219,219,220,218,217,216,215,214,212,211,210,209,208,206,205,215,216,217,217,220,220,220,222,217,234,237,174,219,222,221,221,220,219,217,217,217,215,214,212,211,210,209,207,216,217,219,219,221,222,222,224,217,242,233,174,224,221,224,224,220,222,219,218,219,215,215,215,212,212,211,209,218,220,221,222,223,223,223,226,219,248,239,180,228,237,214,218,231,215,215,221,217,224,214,208,217,213,213,211,221,222,223,224,224,225,224,226,221,255,237,179,247,255,212,192,251,212,185,222,210,236,212,185,222,214,215,213,222,224,224,225,225,226,225,227,221,255,239,180,255,255,226,185,243,221,173,218,212,227,219,174,221,218,215,213,223,224,225,226,227,228,228,230,224,255,255,213,255,255,234,183,234,227,163,220,213,200,229,181,196,221,216,215,225,225,226,227,229,230,230,231,227,255,251,253,255,255,237,177,221,222,161,226,206,164,215,212,172,201,222,216,225,226,227,229,230,230,230,229,235,255,249,252,254,249,229,170,221,213,164,225,187,157,203,229,170,197,224,217,226,227,228,230,231,232,233,227,246,255,229,232,230,238,241,174,217,208,153,196,179,160,224,236,173,212,223,220,227,229,230,231,232,233,233,228,254,255,214,208,204,211,245,172,220,212,141,199,166,179,246,222,174,223,223,220,229,230,231,232,233,233,235,230,255,255,228,192,199,202,208,200,224,200,164,206,174,225,245,194,178,230,224,225,230,232,233,233,234,234,237,233,255,255,236,201,182,198,214,236,214,210,231,234,230,227,218,176,190,226,218,198,230,231,233,234,234,235,238,233,255,255,243,214,186,194,223,234,241,255,255,250,227,201,187,166,159,159,151,138,230,231,233,233,233,235,236,233,255,255,250,229,198,191,225,251,255,255,253,241,216,186,166,151,150,146,140,137,231,231,233,235,236,236,237,233,255,255,255,241,219,203,228,255,255,255,245,225,199,172,154,148,146,139,138,138,232,234,233,236,238,236,239,235,252,255,255,248,232,211,230,255,255,248,231,206,177,155,144,138,122,114,103,92,232,235,236,236,238,237,239,237,243,255,255,252,231,215,226,254,250,232,214,183,157,141,133,126,115,104,101,89,232,234,235,235,237,239,240,242,245,255,255,245,226,213,223,238,230,212,195,163,143,139,134,120,105,95,97,93,237,239,240,240,241,241,248,215,209,255,233,228,214,206,221,224,208,189,166,140,132,134,136,133,112,92,89,91,212,215,216,218,221,221,237,155,136,255,229,227,213,211,216,210,188,165,139,113,118,128,124,133,129,101,85,86,153,152,150,151,152,152,163,153,102,188,235,227,219,211,202,195,169,144,100,87,99,117,113,122,135,115,90,82,152,151,154,153,153,151,155,165,148,148,192,210,210,195,183,170,146,116,66,70,97,109,107,110,129,125,99,82,156,155,158,158,159,158,163,162,145,151,149,157,174,174,158,155,126,84,59,92,121,125,97,102,120,129,111,88,159,156,158,158,159,158,165,164,145,144,143,135,133,135,135,136,111,69,78,115,132,124,89,97,111,127,119,98,159,156,158,161,161,160,168,160,148,146,143,139,129,122,118,114,109,100,101,102,102,94,79,88,103,118,123,106
4,180,180,180,180,180,180,179,179,177,175,175,174,175,176,173,172,172,169,167,167,165,165,165,165,162,160,158,158,181,181,181,181,181,181,179,180,179,177,177,177,177,177,174,170,170,172,168,167,168,167,166,165,163,162,159,158,183,183,183,182,182,181,181,181,181,179,168,156,159,171,172,146,119,137,173,171,170,170,166,165,164,162,160,159,185,185,184,183,183,182,183,183,181,182,173,165,150,131,131,142,133,99,137,155,135,146,168,166,165,164,162,160,185,185,184,185,185,185,184,184,177,176,170,162,156,150,110,88,122,125,96,88,95,77,135,170,165,164,164,162,187,186,186,186,185,186,184,180,168,168,154,123,84,129,112,66,88,123,93,60,85,79,85,171,166,165,165,163,188,187,187,188,187,186,185,182,179,167,157,129,79,95,114,72,71,104,78,58,100,95,68,156,169,166,165,164,187,187,187,187,186,186,187,180,138,111,131,147,96,88,124,116,99,95,67,69,107,99,66,152,171,166,165,164,189,189,188,188,188,187,187,187,149,92,57,154,130,103,126,141,143,104,97,99,100,116,82,149,170,167,164,164,189,189,190,189,189,189,189,179,133,82,38,94,128,90,91,107,134,110,103,104,100,108,79,113,175,169,166,165,190,190,191,192,189,189,189,168,131,112,96,68,69,77,66,63,84,111,105,100,96,93,85,80,172,170,167,166,191,191,192,192,190,189,190,173,157,133,99,70,58,73,70,75,68,81,92,90,89,104,100,66,152,172,169,167,193,192,193,193,191,190,191,178,159,126,94,66,63,71,76,93,87,65,55,95,133,131,109,72,120,175,169,166,193,193,194,194,193,191,191,180,146,110,81,61,63,74,94,99,98,96,107,118,133,136,121,92,89,174,169,166,195,195,195,194,194,191,190,179,152,124,92,69,73,83,96,110,110,128,150,152,132,153,142,106,71,165,171,167,196,195,196,195,195,193,190,184,162,131,99,72,71,83,109,123,130,139,154,161,153,137,129,99,59,156,172,168,194,195,195,196,196,194,190,180,166,140,110,76,71,88,111,128,144,152,161,157,143,131,105,80,62,166,173,169,194,195,195,196,197,194,187,175,172,151,122,92,75,77,110,138,152,165,167,154,134,117,94,57,101,178,171,169,195,195,195,196,197,196,186,170,171,157,129,105,85,76,111,150,162,171,164,147,124,108,81,53,156,176,172,170,195,195,195,195,196,196,185,166,163,155,132,110,91,84,112,159,163,164,153,134,114,96,64,95,181,174,173,172,195,196,196,197,198,198,186,164,159,157,142,117,99,94,122,160,158,152,140,121,104,84,55,152,179,175,172,171,196,196,198,198,198,198,190,162,160,161,147,123,110,98,129,155,152,145,128,106,90,62,86,181,178,176,174,172,196,197,198,197,198,199,197,171,164,166,152,131,113,96,125,148,146,137,116,92,75,52,152,183,179,177,175,173,197,199,198,198,198,199,199,177,172,169,151,136,118,97,114,140,133,120,98,79,50,104,186,180,178,177,175,173,197,198,197,199,199,200,197,183,178,165,151,140,123,104,107,122,115,100,82,59,68,176,183,179,178,176,174,174,199,199,199,199,199,199,197,185,179,163,148,135,122,110,101,107,103,86,68,46,153,186,182,179,179,177,176,174,200,200,199,199,199,199,192,184,174,163,153,145,134,125,108,100,96,78,51,101,188,184,182,180,178,177,176,174,200,200,200,200,199,199,183,183,176,165,155,151,137,128,111,97,89,68,53,162,189,185,182,180,179,177,176,174
0,206,207,206,206,206,205,205,204,205,207,206,206,205,205,203,202,202,201,199,200,197,195,196,196,194,193,191,190,208,209,208,208,209,210,209,209,209,208,207,208,208,207,205,204,202,201,200,200,200,199,199,197,194,192,192,192,211,210,209,210,210,210,209,209,209,208,211,211,209,209,207,206,204,204,202,202,203,202,202,199,199,196,195,193,211,210,210,210,209,209,209,209,211,211,211,212,212,210,209,212,211,206,211,212,205,200,200,202,201,200,198,197,212,212,213,212,211,212,210,210,212,211,211,212,210,211,204,180,194,217,184,162,196,190,145,203,202,201,200,200,212,214,214,215,214,213,213,213,213,211,214,217,219,212,166,117,88,140,140,100,95,180,104,164,213,200,201,199,214,214,215,216,216,216,215,214,218,222,217,190,152,163,163,122,77,46,139,114,51,144,134,99,223,200,202,201,217,216,216,216,216,216,216,216,189,180,200,170,105,57,140,133,109,68,141,117,63,112,164,61,140,221,200,203,217,218,218,217,216,216,213,200,154,84,164,165,111,53,121,145,122,68,145,123,61,72,162,103,61,145,213,201,219,219,218,218,218,217,200,193,159,95,141,171,122,72,114,151,111,62,150,129,61,27,150,134,88,53,207,203,219,219,219,219,219,215,183,179,172,127,122,179,123,80,88,152,112,46,117,101,46,33,160,152,72,73,219,204,220,220,220,220,220,207,175,151,169,140,107,166,117,76,65,150,109,23,33,47,6,85,184,145,44,137,225,204,222,222,222,222,219,203,196,142,144,134,78,136,126,86,34,71,56,0,9,25,54,162,178,120,43,197,212,208,222,225,225,223,218,194,171,104,105,85,19,84,118,77,9,0,8,58,127,114,133,179,158,75,85,227,206,209,223,226,225,225,214,191,182,138,93,46,11,20,57,22,0,25,111,175,171,163,132,148,137,28,140,230,209,209,224,226,225,227,214,192,195,166,116,87,70,62,76,80,107,150,179,176,165,162,121,98,88,15,190,219,211,210,224,227,225,228,213,192,204,172,134,111,91,103,135,174,185,190,193,181,155,148,102,67,20,93,231,212,214,211,224,225,224,228,215,185,206,176,144,106,102,114,164,193,195,200,195,168,143,127,87,19,53,218,218,217,215,214,221,223,222,225,220,175,190,177,151,119,112,129,188,200,196,198,182,149,125,103,47,26,203,224,215,216,215,214,222,225,226,225,228,182,184,185,157,141,130,147,192,197,195,184,156,134,107,75,10,164,230,214,217,216,213,212,226,226,225,225,232,197,170,186,175,160,134,152,187,186,185,169,132,109,88,16,111,235,214,218,217,216,214,213,226,226,225,226,229,215,167,181,174,152,128,143,176,167,160,137,107,86,28,62,227,220,218,219,217,217,216,213,225,226,226,226,227,228,179,173,166,141,127,135,162,151,133,111,81,27,32,208,225,220,221,219,218,218,217,215,225,225,225,225,226,227,186,174,156,130,127,129,153,142,113,89,38,24,196,229,220,223,224,219,218,217,216,215,228,227,227,225,229,216,181,173,161,153,151,139,143,138,98,60,6,177,234,219,222,220,222,220,218,217,216,214,217,221,223,223,230,196,175,184,173,172,156,143,137,125,77,19,76,247,227,233,232,229,228,226,225,222,221,218,112,117,120,123,122,147,183,194,183,170,156,145,128,90,65,14,98,189,183,186,190,194,195,195,197,200,201,200,85,84,80,81,71,132,186,195,176,167,157,143,94,76,52,16,52,85,83,82,83,86,86,87,90,93,94,93
20,115,118,121,124,125,127,130,131,133,133,134,135,134,136,136,134,135,134,134,133,132,130,130,129,128,126,126,125,117,120,123,126,127,130,132,133,135,136,136,136,140,125,129,140,136,136,136,135,134,133,131,131,130,130,128,127,118,122,125,127,131,133,135,136,137,139,140,135,161,108,92,142,138,137,138,137,136,135,134,133,132,132,131,129,121,124,127,130,133,135,136,138,139,141,141,138,167,115,96,110,119,144,138,139,138,136,136,134,134,134,133,132,122,125,130,132,134,137,139,141,142,142,143,140,165,111,120,123,91,148,140,141,141,140,138,137,136,136,135,134,124,128,132,135,136,138,142,144,144,145,145,143,171,124,123,139,81,143,143,143,142,142,141,140,140,139,138,136,127,131,134,136,138,140,143,145,146,147,147,145,175,133,118,155,83,137,148,145,144,143,142,142,142,141,140,138,130,133,135,138,140,142,145,147,147,147,151,150,172,125,117,161,89,128,154,146,146,145,144,143,143,142,141,140,132,135,136,140,143,145,147,147,153,155,137,151,187,131,121,164,95,118,156,148,148,147,146,146,144,144,143,141,133,136,139,142,144,147,148,147,159,179,141,128,150,126,114,176,107,113,158,148,149,149,149,148,147,146,144,143,134,137,141,143,146,146,153,181,136,128,164,126,92,87,89,160,111,107,159,150,151,151,149,149,149,148,146,145,135,139,142,144,148,147,164,162,153,120,159,155,152,130,89,116,107,101,161,153,153,153,151,149,149,148,148,147,137,140,143,147,150,149,163,151,128,117,128,152,164,163,105,70,86,95,161,153,154,153,152,150,149,149,149,148,138,142,145,147,151,152,159,171,143,103,73,72,97,160,131,76,55,89,162,155,156,155,154,152,152,151,150,150,139,142,147,150,152,154,157,183,152,108,80,71,64,147,160,105,54,78,162,158,157,156,156,155,154,153,150,150,140,145,149,151,154,156,159,177,150,114,87,95,107,156,179,134,79,66,158,161,159,157,157,156,155,154,152,150,143,147,150,152,155,158,160,185,159,116,104,97,133,184,174,138,102,65,155,163,159,158,158,157,156,155,154,152,143,147,151,155,157,160,162,189,162,124,110,111,157,188,157,119,90,65,157,163,161,160,159,159,157,156,156,154,144,149,152,154,159,160,163,188,169,138,125,118,173,181,142,103,70,80,167,162,162,161,161,161,160,158,157,154,146,151,154,157,159,161,163,183,170,138,132,123,179,173,131,96,63,87,172,163,165,163,161,161,161,160,156,155,147,152,155,159,160,163,163,176,170,141,141,127,173,161,120,89,58,92,174,164,166,165,163,162,161,160,159,156,147,152,156,159,162,164,165,171,174,153,152,127,167,148,106,80,52,107,176,165,166,166,165,163,162,162,160,158,148,153,157,160,163,164,167,170,175,157,153,122,154,131,93,76,51,129,176,166,167,166,165,164,164,163,161,159,148,153,158,160,163,165,168,170,180,154,131,106,141,113,96,78,61,160,173,169,169,166,166,165,165,163,161,160,150,154,158,160,164,167,168,171,184,161,129,122,140,104,109,63,104,179,170,171,171,169,168,167,166,165,163,160,150,154,158,162,165,167,166,175,189,173,150,144,126,100,99,54,148,177,170,172,172,170,168,168,167,166,164,162,149,154,156,160,164,167,164,175,177,157,156,143,117,96,79,72,169,172,171,171,170,168,168,167,167,165,164,162,149,153,157,161,164,169,161,180,170,142,141,131,103,86,60,98,178,172,172,171,170,169,168,166,166,165,164,161
15,222,192,195,173,124,221,99,41,112,110,112,116,122,125,140,157,173,187,192,196,205,214,219,223,227,231,235,239,222,193,204,163,137,225,82,51,115,111,114,117,122,125,141,160,177,189,194,200,208,216,222,226,231,234,237,242,223,199,213,152,156,225,64,65,117,111,116,121,124,125,143,163,180,192,197,202,211,220,226,229,235,238,242,246,220,203,218,145,174,217,52,79,119,112,117,120,122,128,147,165,183,195,199,205,214,223,229,234,238,242,246,249,219,204,219,132,197,204,31,86,115,110,116,122,129,131,152,173,188,200,203,207,219,228,232,238,242,247,251,253,215,217,213,153,194,187,120,144,144,152,164,166,163,138,139,156,175,196,205,212,222,231,245,248,245,251,255,255,210,233,195,169,170,167,170,154,144,154,149,144,135,144,144,140,144,152,164,177,177,170,186,225,255,255,255,255,216,209,163,157,157,152,143,136,137,140,139,136,137,154,159,155,151,148,146,163,172,156,140,124,172,250,255,255,221,219,181,140,148,133,137,131,138,143,144,141,148,161,162,159,151,143,151,166,167,163,155,136,114,124,209,255,221,229,188,145,240,108,71,124,122,127,130,134,147,160,163,156,144,147,162,165,156,161,153,144,138,123,108,152,225,235,171,163,255,82,52,124,113,116,118,122,123,145,167,200,177,161,160,161,163,161,155,147,147,150,132,108,230,243,160,183,247,66,69,124,115,117,120,124,126,141,181,240,216,181,167,160,149,155,149,152,151,168,145,125,232,245,149,200,238,51,80,126,115,116,120,123,127,141,228,218,190,140,134,147,121,124,149,153,163,181,154,138,232,242,144,218,223,41,91,124,114,117,121,126,118,182,239,187,172,129,81,97,75,84,190,177,183,174,150,148,235,239,138,234,205,34,101,124,115,117,122,120,138,249,211,169,147,121,73,65,48,90,218,204,194,158,141,149,236,232,138,249,189,29,110,124,117,116,121,111,185,255,211,161,137,88,62,66,43,124,221,221,208,163,134,141,243,227,140,255,168,30,118,122,116,118,122,114,157,252,232,181,143,78,54,64,68,135,211,234,216,168,135,131,253,218,147,255,149,32,124,120,116,117,120,124,122,228,255,217,157,97,47,101,117,120,202,226,195,161,136,115,255,210,158,255,132,38,128,119,115,115,119,124,124,182,255,242,176,108,64,73,143,191,208,189,156,149,129,104,255,196,171,255,113,45,130,118,114,113,116,119,130,154,255,255,222,202,193,193,212,189,166,142,127,131,125,108,255,184,189,255,92,54,129,114,113,112,116,116,131,150,220,255,227,208,204,213,208,154,121,123,118,119,127,132,255,172,207,255,75,64,128,113,112,111,115,117,128,162,249,213,177,174,184,215,207,138,111,113,107,123,127,120,255,163,228,255,62,76,129,112,110,110,115,119,120,200,253,184,175,178,175,202,200,147,111,126,233,158,89,83,255,156,246,251,35,74,117,100,100,100,106,111,115,198,231,177,160,158,154,181,181,151,99,233,255,169,90,90,255,153,255,235,117,141,157,141,135,130,126,127,139,173,200,191,206,203,145,122,174,144,117,223,255,178,99,92,251,158,255,241,200,158,173,173,171,167,169,174,170,168,170,182,191,247,208,119,183,181,153,208,248,163,109,97,243,161,255,239,180,139,160,156,158,158,162,161,163,162,159,164,156,193,247,165,150,170,168,164,169,141,105,105,233,168,255,233,180,150,163,164,166,166,165,166,169,170,173,174,173,169,195,184,173,176,177,178,184,146,88,66
4,177,180,182,187,188,192,196,197,196,200,200,201,202,204,204,203,203,204,202,200,202,201,200,201,200,199,198,198,178,181,183,189,190,193,196,197,198,200,202,203,203,206,206,204,205,206,205,202,203,201,200,200,202,201,200,199,179,183,186,188,190,194,196,198,200,201,204,204,204,205,207,208,206,206,207,205,204,203,203,202,203,202,201,198,181,185,188,191,193,196,197,199,203,202,203,206,203,216,202,190,209,211,195,208,208,205,205,205,203,201,201,201,182,186,189,192,195,198,200,201,202,202,206,199,230,237,198,155,204,223,171,164,211,210,208,206,205,203,202,202,182,187,192,193,196,198,201,204,198,241,243,196,209,253,199,161,226,220,183,112,190,191,197,212,207,205,203,203,184,189,192,195,199,199,203,202,211,255,255,220,151,247,205,156,251,226,156,144,217,154,125,201,208,204,206,205,187,191,192,198,201,200,206,197,237,255,255,204,141,240,207,163,240,211,189,217,174,142,91,150,217,205,207,207,188,190,195,199,201,204,205,202,255,232,250,183,123,207,219,222,220,246,255,233,142,101,90,135,220,208,209,208,188,194,197,200,202,206,203,214,255,218,232,198,99,184,200,227,245,255,248,225,181,109,72,152,221,208,210,209,189,194,198,199,203,207,201,249,255,210,201,202,88,166,163,129,196,224,208,229,199,133,72,170,221,210,211,210,189,194,198,201,204,203,212,255,226,187,176,136,89,171,165,91,208,168,187,249,211,154,95,196,218,212,212,211,191,196,200,203,206,200,231,255,213,169,160,140,122,142,139,105,199,127,152,255,233,176,109,203,219,213,213,213,192,197,200,203,208,198,251,255,214,167,143,121,126,132,133,148,162,171,190,255,249,188,108,153,226,214,215,213,192,197,200,204,210,200,255,255,214,163,138,122,133,130,162,192,208,249,244,229,229,180,131,115,221,217,217,215,194,198,202,207,209,207,255,255,208,157,158,139,129,120,180,220,249,244,238,216,174,185,144,122,219,217,217,216,194,197,202,206,206,217,255,255,203,176,188,153,131,175,241,255,248,244,222,189,146,153,117,154,228,216,217,216,190,196,199,205,204,222,255,255,219,220,205,158,206,255,255,255,246,233,201,167,138,119,108,200,222,218,217,216,193,197,200,207,204,227,255,255,249,237,217,172,245,255,255,255,227,212,183,158,132,99,149,227,217,220,218,217,193,197,202,208,205,227,255,255,255,230,223,185,251,255,255,255,208,187,169,152,120,105,210,224,221,221,219,218,195,198,202,208,208,215,255,255,255,232,215,204,253,255,252,230,194,168,159,137,97,159,230,220,221,220,220,218,196,199,204,207,210,211,255,255,249,238,217,211,236,246,224,198,176,169,155,112,110,219,226,223,222,220,219,217,194,197,203,207,210,211,255,252,237,243,227,211,225,235,214,185,161,160,140,95,180,231,221,223,221,219,217,216,194,199,203,208,212,210,255,239,236,241,220,194,220,238,209,169,143,145,116,144,232,226,227,223,223,222,221,220,188,192,195,199,205,199,255,250,242,230,216,192,208,236,191,145,133,128,117,199,213,209,210,208,207,206,208,200,124,124,124,123,127,115,252,255,254,236,220,197,194,229,178,136,126,115,106,115,114,113,112,111,111,114,102,122,108,110,110,109,115,96,236,255,255,242,232,204,177,225,187,135,114,106,104,101,100,101,99,98,100,89,143,238,118,119,119,121,126,104,217,255,255,234,229,204,164,215,189,128,110,103,107,110,108,106,108,109,96,159,255,249
20,151,154,157,158,161,163,163,163,165,165,165,165,164,164,162,162,161,160,159,160,157,155,154,152,151,149,149,148,152,155,159,159,162,165,165,166,168,168,167,168,166,165,166,163,162,161,159,146,157,157,155,154,153,152,152,151,153,156,159,161,163,165,166,168,168,169,170,169,167,166,167,166,163,162,174,100,110,172,156,156,156,155,153,153,155,157,160,162,164,166,168,169,170,170,171,168,169,169,168,168,164,167,175,91,92,144,155,159,157,156,155,154,156,158,160,163,165,167,169,170,172,172,170,170,170,170,169,168,165,175,162,87,60,89,107,167,157,156,155,155,157,161,163,165,166,168,170,171,173,174,173,172,172,171,170,172,166,184,157,74,83,115,88,167,158,159,156,156,159,162,163,166,168,170,172,173,176,176,175,174,173,172,172,172,169,187,151,73,128,120,85,167,161,160,159,157,160,162,165,169,169,171,174,175,177,177,176,176,175,175,174,172,172,185,136,76,154,125,90,167,163,162,161,160,161,164,167,169,171,173,175,176,178,179,178,179,179,177,179,178,177,180,119,91,166,116,100,171,163,163,162,160,162,165,168,170,173,174,175,177,179,179,179,180,181,174,133,144,195,179,109,117,171,102,103,176,164,165,164,162,164,167,169,172,173,176,178,179,180,182,180,178,176,180,130,79,160,172,96,138,180,96,112,178,167,168,165,164,164,167,170,173,174,177,180,180,181,183,179,187,184,178,172,129,99,94,65,137,165,87,127,179,169,169,167,166,165,168,173,176,177,178,180,181,184,184,182,197,195,184,199,178,119,62,35,104,129,81,141,178,171,169,169,168,168,171,174,178,178,180,182,184,186,183,191,178,131,168,169,173,122,71,55,75,86,70,155,177,172,169,169,168,169,172,175,177,180,181,183,186,186,183,200,168,99,149,144,166,150,94,61,56,66,67,166,177,172,171,171,169,169,172,176,177,180,182,185,186,186,185,203,180,135,107,79,141,171,113,69,53,55,73,174,177,174,172,172,171,171,173,176,178,180,184,186,187,187,189,190,143,112,89,43,88,188,131,87,62,49,85,183,175,175,174,173,172,172,174,176,179,180,184,187,189,186,197,187,141,128,105,72,151,191,141,115,75,49,101,188,176,178,177,173,171,171,174,177,179,182,184,187,189,187,203,181,155,128,99,154,214,173,135,126,82,55,110,190,176,177,177,174,173,172,175,178,180,183,185,188,189,191,210,193,150,113,135,220,184,150,122,114,84,63,129,189,177,179,177,175,173,173,176,178,181,184,187,190,190,197,225,185,132,126,177,222,173,142,106,95,83,70,156,186,179,180,178,176,174,173,177,180,182,185,187,190,189,202,220,154,154,129,195,210,171,140,108,78,76,82,176,185,182,180,180,178,175,170,174,178,181,184,186,188,187,203,204,177,172,126,207,196,157,127,105,80,71,104,187,181,181,179,179,177,175,170,173,177,180,184,186,188,188,195,204,206,156,151,209,172,139,113,92,82,69,137,189,182,180,179,178,176,174,171,174,178,181,184,186,188,187,191,204,197,156,140,181,158,122,99,83,76,78,169,188,183,180,180,179,177,176,171,175,180,182,184,186,189,188,192,194,168,149,134,154,149,118,102,85,65,105,188,185,184,181,180,179,177,176,170,175,179,180,184,187,189,189,192,179,160,151,152,151,159,140,98,80,62,136,193,184,184,181,180,179,179,176,170,174,178,181,184,187,189,190,190,192,184,183,173,155,150,138,91,73,67,161,190,182,182,181,180,178,178,177
12,182,184,184,185,186,187,188,189,189,190,189,190,191,191,190,191,191,191,191,191,189,190,190,191,189,189,189,188,184,185,187,188,188,188,191,191,189,191,191,191,192,191,192,192,192,192,192,192,191,190,190,192,191,191,191,190,184,185,187,190,190,191,193,193,192,192,193,194,193,193,193,194,194,194,195,194,192,193,192,192,192,192,192,191,185,187,188,189,190,191,194,194,192,193,194,194,194,193,195,196,196,197,195,194,194,195,195,194,194,194,193,193,188,189,190,191,191,192,194,195,194,194,195,197,194,204,196,191,198,195,197,199,196,197,196,196,196,196,195,194,190,191,192,193,194,194,195,197,194,204,208,190,204,221,206,157,171,208,198,183,199,196,198,198,197,197,197,195,191,192,193,194,195,197,197,193,210,242,225,175,191,230,212,140,116,210,200,142,164,203,197,200,199,199,199,198,191,192,195,196,197,196,199,191,220,246,229,174,177,236,210,149,106,207,191,140,111,201,201,200,200,199,200,199,192,194,196,197,198,199,198,195,226,243,230,173,173,239,205,164,135,211,173,125,93,185,208,202,202,200,200,200,193,196,197,197,199,196,213,225,195,209,229,203,152,234,216,164,156,212,183,119,84,174,211,202,203,202,203,202,194,197,198,199,199,200,244,226,171,159,201,190,126,220,214,129,162,221,167,110,81,168,213,203,205,204,203,202,196,198,200,202,196,223,246,230,196,134,173,139,88,139,144,98,169,179,115,86,80,165,216,204,207,205,205,204,198,200,201,203,198,235,243,236,204,153,137,134,76,69,88,172,198,172,125,127,110,168,217,205,207,207,205,204,199,201,204,202,204,239,217,234,209,178,120,99,109,89,171,242,235,210,175,174,137,171,218,207,208,207,206,206,200,203,204,201,211,246,227,209,211,182,134,97,98,158,246,240,230,210,178,164,127,151,220,209,210,207,207,207,202,204,205,200,227,246,234,186,205,181,147,105,93,230,246,239,230,211,183,151,114,152,222,210,211,208,208,209,203,205,207,201,233,246,239,214,186,180,193,135,133,246,242,240,228,207,171,145,109,155,223,210,213,211,210,211,204,206,209,203,223,246,241,219,183,159,183,174,208,246,241,240,228,201,168,142,112,134,221,211,214,213,211,212,205,206,209,204,227,246,244,225,210,193,174,219,240,246,237,238,228,196,173,136,110,125,222,214,213,213,212,212,206,207,210,206,229,246,245,237,226,220,202,221,231,246,232,231,221,199,168,133,97,150,226,214,215,214,215,214,206,208,211,207,226,246,245,243,233,222,208,214,222,243,228,218,211,199,155,125,94,194,220,215,217,215,216,215,207,209,212,210,218,246,246,244,235,216,205,214,215,235,222,207,206,188,144,103,125,226,214,217,217,217,217,215,207,208,211,212,211,240,245,241,230,209,198,209,210,223,213,203,196,166,124,88,188,225,217,219,219,217,218,217,208,211,214,218,215,239,246,235,225,209,204,213,220,237,223,205,183,146,93,128,228,218,220,219,219,218,218,218,207,201,196,189,175,186,181,154,150,148,146,153,147,155,141,131,126,110,82,205,239,221,222,221,221,221,221,219,147,142,133,124,105,93,90,83,75,67,60,57,43,42,42,40,40,44,48,101,171,222,223,220,221,221,221,220,124,125,127,119,106,98,95,86,79,72,67,57,48,46,45,43,39,35,33,24,29,201,226,219,220,220,218,219,141,124,127,116,105,97,91,84,78,67,62,55,47,44,44,43,37,33,36,22,91,228,218,221,220,219,219,218
19,60,69,77,84,90,91,94,97,102,105,109,114,115,119,122,123,125,126,128,131,133,134,135,134,134,136,136,136,61,71,78,86,89,92,96,99,105,109,113,117,119,123,123,126,128,130,132,133,136,137,135,138,135,139,138,137,62,73,81,88,91,95,98,102,107,112,115,117,124,126,123,129,130,132,134,135,136,134,146,128,137,139,139,139,65,75,83,89,94,97,99,105,110,110,131,125,93,115,133,129,132,135,135,137,131,158,175,58,118,144,139,140,67,77,86,91,95,97,102,107,114,110,173,136,78,50,124,132,131,135,147,150,163,165,89,44,135,144,142,142,68,78,88,95,97,98,103,112,116,108,159,156,96,78,134,152,138,144,161,158,135,74,42,121,149,145,144,143,69,79,89,97,98,98,113,100,106,116,139,155,143,152,144,140,130,110,127,102,51,67,130,152,143,146,146,146,72,82,90,98,91,146,157,110,99,106,125,132,123,106,97,107,91,64,61,66,110,153,150,146,148,148,148,149,73,83,93,95,105,175,125,112,118,126,137,135,121,105,99,78,78,43,130,149,155,147,149,150,148,150,151,150,72,83,96,89,124,149,96,98,110,130,135,130,129,121,91,42,30,68,164,149,149,151,151,150,151,152,152,152,75,84,96,91,153,152,116,115,123,117,103,99,99,73,57,35,12,101,160,150,152,153,152,152,154,155,153,153,77,86,94,102,198,165,139,134,136,126,122,116,91,28,28,32,19,130,158,153,154,154,154,154,156,155,155,154,79,89,94,111,186,157,130,111,100,114,116,107,72,30,25,34,33,144,155,155,158,157,157,157,156,156,158,157,80,90,95,107,162,149,114,87,58,51,70,70,69,33,31,28,67,161,153,156,158,158,159,159,158,158,158,158,80,91,98,105,152,151,114,51,36,0,0,64,80,38,36,30,64,165,155,158,158,159,160,161,162,162,159,159,83,94,102,101,151,154,115,65,23,0,48,79,69,29,28,26,37,152,160,159,160,161,163,163,163,163,162,162,82,94,105,96,152,152,115,77,48,11,10,15,7,7,19,30,34,145,163,160,162,163,163,163,163,164,163,163,83,95,103,95,161,156,118,84,52,36,24,2,4,17,25,31,38,149,164,161,161,164,163,163,163,163,162,162,86,96,105,92,159,154,116,81,55,45,44,24,14,19,28,27,51,159,160,163,165,167,166,165,165,167,166,165,87,95,106,90,146,144,110,78,52,43,40,26,15,24,33,27,83,171,159,165,167,167,166,166,167,167,167,167,88,96,106,96,144,136,105,71,51,43,39,27,22,30,38,28,130,170,163,166,166,168,168,168,169,169,169,169,90,99,105,108,150,130,99,67,47,41,42,35,32,36,25,69,165,161,165,168,168,169,169,169,169,169,169,169,90,102,101,116,156,127,93,62,46,44,46,39,34,29,81,156,163,163,166,167,167,169,169,169,169,169,169,170,91,103,101,123,146,122,95,70,51,46,45,41,24,72,164,159,162,165,167,169,169,170,170,170,171,171,171,171,91,102,102,133,138,112,91,71,49,37,34,34,27,127,162,159,165,166,168,170,171,171,171,171,173,174,172,172,91,102,108,156,131,108,77,57,42,28,27,25,40,145,160,163,166,167,168,171,172,172,174,174,174,174,174,174,93,98,118,161,134,114,87,70,70,36,25,19,56,157,158,164,165,167,169,170,170,173,174,174,174,174,175,175,93,104,113,144,138,117,95,86,78,36,26,17,59,159,157,160,163,166,168,170,171,171,173,173,174,174,174,174
5,150,152,156,157,158,159,160,160,161,163,163,162,163,164,164,163,164,164,164,164,163,162,161,160,159,158,159,157,154,157,159,160,160,163,164,164,164,165,167,167,167,168,168,167,141,162,166,166,166,165,165,163,162,161,161,159,158,160,163,164,164,167,167,168,168,169,171,170,169,169,170,180,123,145,171,170,170,169,168,167,166,165,164,163,162,165,167,168,168,170,171,172,172,173,173,173,172,144,156,184,129,125,175,174,173,172,171,171,170,169,167,166,165,167,171,172,173,174,175,175,175,177,177,177,183,144,128,186,131,112,179,178,177,175,175,173,172,172,171,170,169,171,175,176,176,178,179,179,179,180,181,181,189,152,117,183,129,114,182,181,180,179,178,177,175,175,174,173,171,173,177,179,179,182,182,181,177,179,184,185,191,156,108,182,138,119,185,185,184,183,182,181,179,178,178,176,175,176,179,182,182,185,185,185,160,147,187,187,195,165,110,179,130,124,187,187,187,186,184,184,182,181,180,179,177,179,182,185,186,187,187,188,166,119,188,189,197,165,100,175,124,127,190,190,189,184,158,172,186,183,182,181,179,182,185,187,188,189,189,191,183,103,185,192,196,164,94,174,141,128,194,188,190,185,155,131,184,187,186,184,181,184,187,189,189,190,192,192,182,105,184,194,193,176,104,154,150,130,195,184,175,156,175,159,158,186,188,187,184,186,190,191,192,193,194,194,194,120,168,195,189,183,111,122,153,136,193,185,163,88,153,166,131,180,191,190,186,189,193,193,195,195,195,196,199,148,143,195,189,187,114,113,150,134,184,181,154,124,176,157,133,192,193,192,187,190,194,195,196,196,198,197,192,190,161,171,185,176,129,135,137,122,158,165,136,171,187,129,167,195,194,194,189,192,195,198,199,199,199,200,190,201,185,160,157,155,132,132,130,124,158,165,138,188,175,104,184,196,196,195,192,195,196,199,200,201,201,202,199,198,207,177,150,146,123,127,124,126,152,165,149,197,158,91,194,198,198,197,193,196,198,199,201,203,203,203,203,202,222,195,143,132,114,112,119,130,149,162,152,198,158,105,201,201,200,199,194,198,200,201,202,203,204,205,206,205,225,202,145,109,107,103,116,142,158,154,141,194,160,119,204,202,201,201,197,200,201,202,203,204,206,207,207,205,221,201,151,110,107,104,130,154,175,183,155,186,157,124,206,204,202,202,197,200,201,202,204,207,208,208,209,205,218,196,152,112,102,112,145,162,190,198,169,164,133,119,207,206,204,202,200,201,202,204,206,208,208,209,209,204,219,196,158,114,103,119,158,185,192,194,175,135,100,107,207,207,206,205,200,201,203,206,207,208,209,209,211,204,216,197,162,116,106,120,165,197,196,185,155,108,75,134,209,207,208,207,200,202,206,207,208,209,210,212,213,207,209,195,161,118,111,115,174,203,193,166,133,89,92,195,211,209,209,207,202,203,206,208,209,209,211,213,213,204,195,192,162,123,119,114,170,191,174,145,111,81,168,213,212,211,209,208,202,203,206,208,209,209,212,212,214,206,188,185,155,133,124,114,157,176,159,130,91,113,210,214,214,213,210,210,201,203,206,207,208,208,210,211,213,207,184,177,149,138,120,108,149,162,143,103,83,185,214,215,214,213,212,211,201,203,206,207,207,208,209,212,213,206,187,179,152,136,119,99,136,132,108,80,155,213,214,214,214,213,212,211,201,203,206,207,208,208,210,213,215,205,193,178,144,129,120,97,117,101,77,126,210,215,215,214,214,213,211,210
19,56,62,69,74,86,97,104,111,117,120,123,128,132,137,139,142,146,148,150,152,154,157,157,159,161,162,164,164,56,62,68,75,88,97,106,114,119,122,124,128,133,138,141,146,148,149,153,155,157,158,159,163,164,165,166,166,58,65,72,79,90,100,108,116,122,124,127,131,135,139,142,148,149,152,156,157,160,161,163,165,166,168,169,168,59,66,75,81,92,103,110,119,123,125,130,133,139,143,148,151,154,157,157,160,164,165,168,168,170,171,169,172,60,68,75,82,94,104,113,121,125,129,131,136,140,146,148,153,158,162,159,163,166,167,168,169,172,169,180,165,61,69,77,84,96,107,116,122,128,130,133,138,145,145,163,161,128,149,169,164,167,170,170,171,168,195,209,91,61,69,77,84,98,108,119,125,130,131,136,140,146,144,208,172,115,81,156,167,167,170,181,184,195,203,127,71,61,71,78,86,99,109,120,128,131,133,137,144,148,142,192,194,129,105,161,186,174,179,195,195,174,112,78,152,63,72,78,88,101,110,119,129,133,132,142,136,145,154,172,191,177,188,183,177,166,147,164,144,88,94,160,188,65,73,79,88,104,113,122,130,128,168,191,142,133,142,160,169,160,147,135,146,125,99,97,100,139,185,186,182,66,73,79,89,103,114,124,131,133,209,171,149,150,157,170,170,155,137,133,117,118,75,158,184,192,184,186,186,65,74,79,92,104,114,126,125,152,192,136,136,147,167,175,170,166,156,131,79,67,95,198,184,185,188,188,187,67,75,81,93,106,115,127,122,173,186,148,146,154,153,141,133,138,119,96,70,45,125,196,183,188,189,189,189,69,76,83,94,107,117,126,127,223,205,176,173,173,160,157,148,128,69,61,66,49,155,196,188,191,190,192,192,69,77,83,97,110,120,128,136,223,198,173,153,143,152,155,145,113,65,55,68,60,172,192,189,192,193,195,194,68,77,83,97,110,122,131,137,198,186,153,128,98,93,117,112,105,70,61,63,93,194,189,191,192,193,195,195,70,76,84,100,110,122,131,135,184,186,154,92,77,43,30,82,112,75,65,68,92,199,191,193,193,194,196,196,71,76,84,101,113,124,133,134,182,190,154,98,59,13,68,112,112,69,63,63,63,182,195,191,194,197,198,198,71,76,86,101,113,124,137,126,179,192,155,115,84,44,49,62,51,41,51,63,63,172,200,194,196,197,198,198,72,77,88,102,114,126,139,125,183,196,156,123,88,71,53,33,34,49,57,65,66,176,201,196,197,198,199,198,72,77,89,103,116,128,140,125,185,194,155,121,92,79,79,59,46,50,58,62,76,187,198,198,200,201,201,201,74,79,90,106,117,127,139,126,171,185,149,119,89,78,76,60,47,56,64,61,101,202,194,201,201,201,201,201,73,79,92,106,120,127,141,127,168,178,144,110,88,77,73,62,56,63,73,58,146,208,198,202,202,203,204,204,71,79,93,106,120,130,140,137,175,171,138,106,85,74,74,71,65,69,61,86,194,198,200,202,203,204,205,205,72,79,95,107,120,131,136,141,189,169,133,100,81,76,79,74,68,61,97,181,199,198,201,202,204,205,205,206,74,80,96,110,121,134,136,144,186,160,135,108,86,80,80,77,63,89,191,197,196,199,203,205,205,206,206,206,74,81,96,109,122,134,136,156,175,151,131,111,88,74,69,70,55,142,199,195,200,201,204,206,206,206,207,208,73,80,95,110,123,136,136,180,175,147,119,97,78,63,59,63,61,162,196,197,201,202,204,206,206,207,210,210
22,120,124,130,149,166,177,181,185,193,201,205,209,213,216,220,221,223,225,225,223,222,221,221,218,217,216,214,213,121,124,132,151,167,178,182,187,196,201,207,216,215,218,222,223,226,217,220,227,224,224,222,224,222,219,216,216,122,125,134,154,169,180,184,190,197,213,218,180,220,221,224,224,244,194,161,234,225,225,227,207,218,224,219,217,123,126,136,156,171,183,187,194,194,235,239,141,214,226,226,227,255,191,142,235,228,231,237,156,174,234,222,220,123,126,136,158,172,183,189,196,197,232,251,147,201,232,226,232,251,180,155,242,227,243,234,146,180,235,224,223,124,127,138,160,175,185,190,197,201,224,255,160,185,237,228,236,243,172,172,244,231,247,212,138,213,233,226,224,123,125,139,160,175,187,192,199,204,220,255,191,169,238,232,233,222,156,183,243,247,255,185,150,239,228,228,226,124,127,141,161,176,189,193,200,207,216,255,203,157,231,236,236,224,144,192,246,253,239,163,189,242,230,231,228,124,128,141,161,177,191,194,200,210,216,255,214,145,214,241,235,228,146,207,255,254,199,141,223,238,234,233,230,123,127,143,165,179,192,196,202,213,216,249,246,169,191,247,222,206,128,235,255,248,175,152,245,236,235,234,232,124,127,143,165,180,194,199,204,213,219,237,254,175,159,233,194,191,158,255,255,231,145,195,250,238,237,235,234,124,128,144,166,183,195,199,206,215,224,229,250,166,119,183,200,224,252,255,236,185,134,237,245,240,239,237,234,123,128,145,166,184,195,199,207,217,224,224,247,190,150,208,214,225,245,240,221,139,182,255,240,241,241,239,237,124,128,147,168,184,196,200,209,216,239,226,183,190,164,195,208,233,225,236,192,127,231,253,245,243,242,242,239,124,129,147,168,186,198,201,210,217,255,218,209,190,199,161,140,197,213,201,147,130,243,251,247,246,244,243,241,121,128,147,168,188,198,201,212,218,255,238,222,223,211,164,124,115,165,163,129,138,255,249,248,248,247,244,242,122,128,149,171,188,199,204,210,226,255,246,195,171,189,193,177,137,107,111,114,139,255,250,250,250,249,245,242,123,129,150,171,190,200,204,214,227,255,255,179,114,124,193,198,175,141,122,103,112,250,255,250,250,248,247,246,122,128,150,171,189,199,203,214,221,255,255,207,189,110,241,223,190,164,143,92,93,243,255,252,249,249,249,247,119,125,149,171,188,199,203,213,218,255,255,220,194,160,255,246,202,170,146,87,108,255,254,251,249,249,250,249,118,124,148,171,190,200,203,215,217,255,255,222,195,232,255,223,203,157,135,82,137,255,251,253,250,250,250,248,117,123,147,171,191,200,203,214,219,252,255,246,206,255,254,202,209,177,128,77,161,255,251,254,252,249,249,247,109,116,143,169,189,200,204,215,224,243,255,250,207,246,246,208,197,181,124,72,205,255,255,255,255,252,252,251,143,146,157,169,181,190,195,202,212,208,253,252,209,205,225,190,171,148,98,88,224,240,234,233,233,232,232,231,152,153,148,141,146,148,148,148,156,112,147,251,185,155,173,158,133,111,90,109,144,139,137,137,137,136,139,136,150,150,152,152,153,151,151,153,153,104,64,143,161,155,165,174,149,116,81,110,150,141,141,141,140,140,117,87,152,153,152,153,153,153,153,158,129,80,87,67,115,164,168,174,139,90,38,84,154,142,142,143,121,91,66,56,153,153,152,152,152,152,155,153,96,88,86,82,70,92,122,109,68,40,27,107,153,140,144,121,76,69,59,47
10,124,125,125,125,126,126,127,128,127,126,126,127,126,125,124,123,122,122,119,120,119,117,116,116,115,114,112,112,128,129,129,130,129,130,129,130,130,129,129,129,128,128,126,125,124,123,125,117,116,120,118,116,115,115,114,113,133,133,133,134,134,134,135,135,134,134,133,132,132,131,130,128,128,123,144,116,85,124,119,117,117,116,116,115,137,137,137,138,139,138,138,137,138,137,136,136,136,134,132,131,131,127,149,122,74,122,121,120,119,118,117,116,141,141,141,141,142,142,142,140,141,142,141,140,139,138,135,135,134,131,151,121,72,120,127,123,121,120,118,117,145,145,145,144,146,146,144,145,145,145,145,144,142,141,140,138,138,135,152,113,69,122,131,126,124,123,122,120,148,149,148,148,150,149,148,149,149,149,148,147,146,145,143,142,142,139,156,126,73,124,135,129,128,126,124,122,152,153,152,152,153,153,153,152,153,153,153,151,149,148,147,146,144,144,162,121,101,127,137,132,130,129,126,124,154,154,155,156,156,156,156,155,156,157,155,154,153,152,150,149,146,156,158,140,122,95,144,135,133,131,129,127,157,157,158,159,159,159,159,158,159,159,158,157,157,155,154,152,147,136,140,156,114,68,145,138,136,134,133,130,159,160,160,161,161,160,160,160,161,161,160,160,159,158,157,157,155,135,115,126,126,60,106,151,138,138,135,133,162,162,162,163,163,163,163,162,163,164,163,162,160,160,157,153,167,165,134,98,90,85,56,132,146,140,137,137,164,164,165,165,166,166,165,166,167,167,166,166,167,164,139,112,106,142,148,143,104,76,61,90,154,140,140,140,166,166,167,168,168,168,168,168,168,168,168,152,130,154,156,128,77,43,137,152,91,57,51,91,156,144,143,142,169,169,169,170,171,169,169,170,170,168,167,151,118,106,168,151,110,34,42,79,85,67,47,101,159,146,146,144,171,171,171,171,172,172,171,171,172,170,165,166,155,112,133,169,123,72,32,41,132,103,50,108,160,149,148,145,172,172,172,172,173,172,172,173,172,171,143,137,160,131,92,152,131,85,43,66,133,129,59,106,164,151,150,148,173,174,174,173,174,174,174,175,173,172,154,104,122,125,54,104,139,79,49,76,123,129,58,99,164,151,151,149,174,175,175,176,176,176,176,176,175,166,144,108,89,109,65,72,142,117,67,84,122,97,50,111,165,153,153,150,177,177,177,177,177,178,177,178,175,168,164,143,94,99,98,71,128,149,92,74,108,71,51,141,163,155,154,152,177,178,177,178,178,179,178,179,176,170,177,152,117,99,97,85,134,135,79,64,95,62,67,164,158,157,156,154,178,178,178,178,179,179,179,179,180,168,177,165,136,110,103,123,173,156,108,86,88,55,97,173,159,159,157,155,180,180,179,180,181,181,182,182,183,169,166,165,145,122,114,131,171,167,142,108,85,49,126,172,160,160,158,156,180,180,181,181,181,183,183,183,184,172,158,163,151,141,126,131,165,159,127,96,75,55,156,168,163,161,159,157,179,179,179,180,181,182,183,182,183,181,157,156,158,155,131,122,155,141,114,87,55,82,175,165,165,162,160,158,179,180,180,180,181,182,183,183,182,185,165,144,154,147,130,110,131,124,98,77,40,126,174,163,163,161,159,157,180,181,182,182,182,183,184,184,184,184,181,153,149,141,127,109,115,124,97,61,67,168,167,164,163,161,159,161,181,182,183,183,183,184,184,184,185,185,181,165,150,135,127,119,110,121,93,48,122,179,166,166,164,161,162,129
6,225,227,230,232,233,236,237,237,237,236,236,236,235,233,232,231,231,230,228,226,224,223,223,220,221,220,217,216,227,230,234,234,234,237,237,238,238,237,237,238,237,236,234,232,232,231,230,228,226,225,224,224,225,222,219,217,230,232,235,235,238,239,239,239,239,239,239,239,239,237,236,235,236,234,232,231,230,228,226,226,224,223,221,219,232,234,236,237,240,239,240,241,241,241,241,240,239,238,239,237,236,235,234,234,233,230,228,227,225,224,222,220,232,236,239,238,240,242,243,242,242,243,242,242,241,240,237,238,237,235,235,235,233,233,230,229,226,226,224,223,234,237,240,240,242,242,243,244,243,243,243,242,241,240,239,241,240,238,239,240,238,239,236,232,229,228,225,223,237,238,242,242,244,247,246,245,244,244,245,247,246,244,241,240,236,231,222,215,216,207,199,194,192,169,200,218,240,241,242,243,245,247,247,247,247,246,242,228,219,223,220,204,186,170,149,166,183,192,174,173,172,143,202,219,240,243,245,246,246,247,248,250,250,233,218,182,172,176,181,192,179,163,153,157,173,185,165,158,149,128,147,167,241,242,247,249,249,249,251,247,243,231,215,194,177,160,120,146,155,150,126,107,116,108,107,110,121,129,153,190,242,244,247,249,250,253,246,243,231,213,208,193,189,189,119,76,76,72,77,121,156,182,198,217,232,234,237,236,244,246,249,252,252,246,232,236,210,193,201,201,207,163,102,81,60,145,208,240,252,251,248,245,241,239,235,232,245,248,252,249,240,230,226,214,201,198,193,203,204,145,85,81,75,134,255,247,243,241,241,240,241,239,237,235,245,249,247,240,231,228,219,210,208,196,191,202,192,177,133,83,81,58,157,255,244,244,243,243,242,239,237,236,250,242,237,237,230,224,211,206,202,193,189,191,192,194,157,99,75,83,73,224,254,245,244,243,242,241,238,237,215,248,240,231,221,217,206,198,192,187,186,187,195,193,144,96,80,84,56,180,255,245,246,245,243,242,242,240,88,167,249,240,218,206,197,188,185,184,182,184,192,192,160,107,74,77,80,234,255,248,247,247,246,243,242,240,86,69,122,215,218,200,198,193,189,187,189,186,194,192,181,130,78,71,79,240,255,251,249,249,247,245,243,242,80,83,50,71,173,215,194,187,187,185,191,193,191,193,174,120,82,84,62,214,255,250,250,249,247,248,245,243,78,58,54,41,57,153,186,186,189,189,182,171,167,162,134,110,91,88,78,239,255,252,252,250,248,247,245,243,57,49,46,52,46,43,121,180,185,178,167,152,142,130,113,103,100,99,63,169,255,252,253,251,249,248,246,243,47,54,52,49,44,42,38,103,178,180,162,145,131,145,134,97,100,99,56,169,255,252,254,253,251,250,247,245,49,55,57,48,38,46,41,27,97,157,140,123,100,122,95,77,94,97,157,255,255,255,255,254,251,251,249,247,52,55,49,42,37,39,32,33,27,91,96,92,152,236,211,185,213,238,255,255,255,255,255,255,254,252,250,248,50,49,37,35,33,31,29,26,29,7,102,240,255,255,255,255,255,255,255,255,255,255,255,255,255,252,249,248,51,36,31,29,32,28,24,24,17,61,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,250,249,247,43,26,29,30,25,21,21,24,3,129,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,251,249,245,36,31,30,19,27,28,13,25,7,173,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,247,243
6,215,216,216,217,217,218,217,217,219,220,219,220,220,219,220,220,218,219,219,220,219,219,218,218,217,216,216,216,216,217,217,219,219,218,219,219,219,219,219,220,221,221,221,221,221,221,221,221,220,221,220,219,219,218,217,218,217,217,218,219,219,219,220,221,220,219,219,220,221,222,222,222,221,221,223,223,223,223,221,220,220,218,218,220,217,218,218,219,220,220,221,222,222,222,221,221,222,222,224,225,225,224,223,224,223,221,221,223,219,222,221,220,218,219,219,219,222,222,222,222,222,223,225,224,224,224,222,217,212,213,212,213,208,201,187,188,206,203,219,222,220,220,220,221,222,222,222,223,223,222,220,217,209,208,210,203,206,209,225,225,213,204,190,179,192,171,213,225,218,220,220,222,223,224,223,219,210,203,206,206,206,220,221,208,198,201,204,195,181,164,157,160,168,189,225,224,218,219,221,223,223,221,218,212,203,194,192,197,201,195,186,169,156,148,149,162,172,182,196,211,220,226,225,224,219,220,221,219,218,217,215,216,203,182,160,152,146,134,131,132,136,172,211,225,229,231,230,228,226,224,224,224,218,218,217,212,210,212,214,213,210,195,152,120,108,114,140,175,210,232,229,228,225,223,224,225,225,224,223,223,218,211,209,210,213,210,213,217,216,185,145,116,110,114,139,228,232,223,226,226,224,224,225,224,225,224,223,222,209,209,211,210,209,213,220,219,190,143,129,116,111,119,115,136,213,234,225,226,226,225,225,224,225,224,224,223,211,212,209,210,210,216,216,216,203,177,137,109,109,125,122,109,114,204,234,226,226,226,226,226,226,225,224,224,217,213,209,213,216,214,215,226,227,200,148,110,103,118,136,134,115,118,224,229,228,229,228,227,225,224,225,224,213,214,214,211,214,219,217,230,220,178,138,113,111,110,117,124,128,102,192,235,226,228,227,227,227,225,225,225,216,215,212,211,213,215,212,218,209,168,128,112,114,114,103,105,111,129,217,236,232,231,232,232,231,230,227,224,217,212,208,206,202,204,206,211,209,181,136,101,109,118,119,117,102,176,210,209,213,216,219,217,212,211,222,229,213,210,208,207,204,207,211,217,221,193,137,105,95,106,137,117,111,126,125,129,132,130,125,135,170,205,232,232,209,215,213,210,210,215,217,223,218,178,123,109,109,100,108,121,122,127,124,122,115,141,171,202,232,231,238,239,211,212,207,206,206,202,197,207,185,150,124,114,113,109,108,129,140,126,135,150,188,232,244,223,209,216,218,230,206,199,195,197,189,179,177,178,158,139,127,123,119,109,111,121,146,197,223,229,237,224,217,218,208,199,211,215,192,195,188,180,172,167,167,161,144,127,123,125,124,113,122,171,236,250,241,231,220,206,197,199,205,195,188,192,171,176,173,163,157,149,138,136,137,127,128,123,126,159,219,252,241,225,223,218,205,190,187,187,196,192,182,187,132,137,137,135,126,121,122,125,127,130,120,156,218,251,250,242,231,219,214,218,195,173,181,181,184,187,182,182,107,108,115,117,119,125,128,128,131,116,172,235,247,240,232,225,216,214,214,215,188,156,171,176,172,182,177,174,117,118,127,129,124,126,128,129,115,180,245,225,228,215,223,217,203,208,214,216,184,144,156,168,169,175,171,177,124,124,125,125,124,126,125,116,185,244,219,211,212,212,220,207,193,197,210,213,186,139,140,159,164,168,176,172,124,123,124,124,125,123,134,198,239,222,212,201,210,212,216,199,185,186,202,215,188,142,134,150,163,170,180,163
22,154,156,158,159,159,159,160,162,160,161,162,162,161,161,162,161,160,161,163,161,158,159,157,159,135,31,0,0,156,159,160,161,161,163,164,164,164,165,166,166,166,165,165,165,166,164,165,165,162,161,159,162,141,17,0,1,159,161,162,164,165,166,166,167,167,168,169,168,168,168,168,168,169,169,168,167,166,165,164,161,168,69,0,15,161,164,166,166,166,167,169,170,170,170,171,172,168,170,173,170,170,171,168,172,169,168,167,164,169,114,1,5,163,167,168,168,169,171,173,173,173,173,174,173,181,148,155,178,172,177,162,136,175,170,170,167,167,168,26,0,166,169,171,171,173,174,174,175,176,176,175,172,197,137,122,188,174,183,170,87,174,173,173,170,167,143,50,0,168,170,173,174,175,176,175,176,178,178,177,176,197,135,111,191,176,181,154,82,171,176,175,171,185,98,76,42,169,172,174,176,176,176,179,179,179,180,181,177,204,156,101,188,179,181,159,89,166,180,176,181,175,82,116,127,171,175,176,178,180,178,180,181,182,183,183,177,206,187,98,184,182,184,168,99,169,182,175,190,152,91,119,155,173,175,177,181,182,181,182,183,184,183,184,180,199,211,102,177,187,181,160,104,175,185,180,204,143,97,162,154,175,176,178,179,180,182,183,183,184,184,185,182,194,225,107,154,193,178,159,100,173,186,187,203,121,115,189,124,176,177,180,182,183,183,184,183,184,185,185,184,192,231,150,116,195,182,174,109,170,187,197,185,93,134,193,142,176,178,181,182,184,185,186,185,186,188,188,187,188,223,183,97,178,177,172,111,173,192,201,168,80,159,189,173,179,180,183,184,185,185,186,188,189,187,188,191,185,209,175,121,129,119,167,133,184,202,197,137,93,187,183,181,179,181,183,184,184,185,185,188,189,190,190,191,193,222,187,161,154,59,112,152,172,170,172,103,131,196,182,183,178,178,179,183,183,184,185,186,187,188,190,186,210,199,209,160,170,123,84,91,118,124,119,81,177,189,184,183,177,178,182,184,184,185,187,186,186,188,189,190,210,157,187,156,128,175,155,82,59,100,81,88,195,184,184,182,177,180,183,184,185,186,187,186,188,191,189,202,214,179,164,158,63,144,169,136,73,58,60,100,196,182,183,182,176,179,182,183,183,185,186,187,189,192,188,208,206,157,116,156,64,46,144,167,137,66,37,119,198,184,183,182,183,186,189,190,187,189,191,190,192,196,188,205,209,151,117,123,89,28,107,194,181,130,44,141,197,184,184,182,145,150,154,159,163,167,172,175,179,184,182,197,221,166,124,90,106,118,176,181,198,163,91,102,204,196,195,192,60,61,63,66,66,68,71,72,76,83,72,152,230,196,121,99,135,193,213,195,188,160,117,74,136,134,134,144,66,66,67,67,65,65,65,65,64,70,52,140,233,218,124,108,131,201,215,206,178,144,92,55,60,88,125,161,68,65,65,67,69,69,69,70,70,72,63,139,224,220,127,128,124,204,221,204,172,138,67,104,188,194,203,209,64,65,64,64,67,67,68,70,70,73,63,112,221,217,145,150,118,196,228,189,160,122,56,139,201,185,185,199,63,65,65,64,65,66,66,69,69,70,66,81,207,215,167,150,124,178,213,165,137,94,56,131,160,180,182,185,63,64,65,65,66,65,65,69,69,67,70,64,179,213,175,139,116,148,194,142,104,67,63,158,114,130,163,181,63,64,65,65,71,67,65,68,69,70,70,62,167,194,152,124,101,105,161,120,82,52,82,180,109,110,151,177
4,156,158,160,163,165,167,169,171,171,173,174,174,175,176,177,176,176,176,175,174,175,174,174,174,173,173,172,172,156,158,161,164,165,168,170,171,172,173,175,175,176,177,178,177,177,177,177,176,176,175,174,174,174,174,173,173,157,160,162,164,166,168,170,172,173,174,176,176,177,178,178,177,178,178,177,177,177,176,176,175,175,175,174,173,159,161,163,166,168,170,171,173,175,175,176,177,180,184,175,168,177,179,171,173,178,178,177,177,176,175,174,174,160,162,165,167,169,171,173,174,175,180,181,178,189,194,173,155,175,182,159,152,173,178,178,178,177,176,175,175,160,163,166,168,170,172,174,175,180,200,201,180,182,199,174,156,184,184,154,132,161,165,166,177,178,177,176,176,162,165,167,170,172,173,175,176,190,220,219,184,160,193,176,158,194,186,152,144,163,143,131,162,178,177,177,177,163,166,168,171,173,174,176,179,201,219,215,176,147,185,179,165,192,188,176,173,153,123,105,139,176,179,179,179,164,166,169,172,174,176,177,184,208,206,202,164,132,169,183,185,195,207,213,190,141,105,94,130,176,181,180,180,165,168,171,173,175,177,178,192,211,196,191,162,119,152,171,182,198,210,208,191,153,108,90,134,178,182,181,180,165,168,171,173,176,177,182,205,209,185,174,154,111,139,145,138,171,186,186,191,167,121,96,144,181,182,182,181,166,169,172,174,176,178,190,214,196,168,153,129,107,136,135,116,159,157,169,199,180,137,111,158,183,183,183,182,167,170,173,175,177,178,199,218,187,155,140,124,114,126,124,118,151,138,157,211,196,152,120,160,184,184,184,183,168,170,173,176,178,181,210,221,186,150,130,117,116,120,126,135,151,157,175,211,201,159,120,141,181,186,185,184,168,171,174,177,179,184,218,222,185,148,128,117,118,122,142,164,180,197,200,198,187,158,124,127,176,187,186,185,169,171,175,178,180,189,225,221,182,149,139,127,119,126,160,189,204,207,200,182,161,151,128,129,176,187,187,186,169,171,174,178,180,194,229,220,183,162,157,139,135,160,197,212,211,204,189,164,139,131,119,143,183,187,187,186,167,170,173,177,179,197,231,222,196,185,172,153,175,208,225,222,208,196,174,149,127,113,119,163,186,188,187,186,168,171,174,177,180,199,233,229,211,199,182,166,200,225,232,223,198,181,161,140,119,108,139,181,188,189,188,187,168,171,175,178,180,199,234,234,218,200,186,175,208,229,228,213,184,164,149,132,113,118,166,188,190,189,188,187,170,172,175,179,181,194,231,233,218,200,187,183,209,222,213,194,170,152,140,121,109,143,184,190,190,189,189,188,170,172,176,179,181,191,225,225,213,202,189,186,200,207,194,174,157,147,133,111,121,172,191,191,190,189,188,187,169,172,176,179,181,190,219,215,206,203,193,184,193,198,184,162,145,138,123,113,152,188,192,191,190,189,188,187,168,171,174,178,181,187,214,209,203,201,189,177,188,196,177,150,132,126,117,136,179,191,191,190,189,188,187,186,156,159,161,163,166,173,209,214,207,198,186,173,181,191,167,136,122,116,116,149,169,170,170,169,168,168,167,166,120,120,121,121,122,134,199,223,215,202,189,174,174,185,159,128,114,107,104,113,117,116,115,114,114,115,119,134,105,105,106,106,107,116,190,229,220,206,194,176,165,181,160,126,108,101,99,98,98,97,97,96,96,105,139,178,107,108,108,109,109,115,183,229,219,203,194,175,159,176,160,123,105,99,99,100,99,99,99,98,100,136,190,207
19,84,89,95,100,111,121,128,135,140,142,145,150,153,158,160,163,166,168,170,172,174,177,177,179,180,181,183,183,84,89,95,101,112,121,130,137,141,144,146,150,154,159,161,166,168,169,172,175,176,178,178,182,183,184,185,185,85,92,98,104,115,124,132,139,144,146,149,153,156,160,163,168,169,172,176,177,179,180,182,184,185,186,188,187,87,93,101,106,116,127,134,141,146,147,152,154,160,164,168,171,174,176,177,179,183,184,187,187,189,189,187,190,87,94,100,107,119,128,136,143,147,150,152,157,161,166,168,173,178,181,178,182,185,186,187,187,190,188,198,184,88,95,102,109,120,130,139,144,149,152,154,159,165,165,182,181,150,169,187,183,186,189,189,190,186,211,225,116,88,96,103,110,122,132,141,147,151,152,157,161,167,165,223,190,138,106,175,186,186,188,199,201,212,219,149,98,88,97,103,111,123,132,142,149,153,155,158,165,169,163,209,210,151,128,181,203,192,197,211,212,192,135,104,172,89,98,104,113,125,133,142,150,154,153,163,157,166,174,191,208,195,205,201,195,185,167,183,165,113,119,179,206,91,99,104,113,128,136,144,152,150,187,208,163,154,163,179,187,180,168,157,166,147,123,121,124,160,202,203,199,92,99,105,114,127,137,146,152,155,225,190,169,170,176,189,189,174,158,155,140,140,101,178,201,209,202,203,204,91,100,105,116,127,137,148,147,172,209,157,157,167,186,193,188,185,176,152,105,94,120,214,202,202,206,205,204,93,101,107,117,129,138,149,144,191,203,168,166,174,173,161,155,159,141,120,97,73,147,213,201,205,206,206,206,95,102,108,118,130,140,148,149,238,221,194,191,191,180,176,168,150,95,88,93,77,175,212,206,208,207,209,209,95,102,108,121,133,143,150,158,238,214,191,173,163,172,175,166,136,92,83,95,87,190,209,206,209,210,211,211,95,102,109,121,133,144,152,158,214,204,173,150,122,118,140,135,129,97,88,90,118,210,206,208,209,210,212,212,97,102,109,124,133,145,153,156,202,203,174,117,103,72,60,108,135,101,91,95,116,215,208,209,209,211,212,213,97,102,110,125,136,146,155,155,200,207,173,122,86,44,95,135,135,95,90,90,90,200,211,208,211,213,215,215,97,102,111,125,136,146,158,148,197,209,174,138,109,73,77,89,78,70,78,90,90,190,216,210,213,214,214,214,98,102,113,126,137,148,160,147,201,213,176,145,113,97,81,62,63,77,85,92,93,194,217,213,213,215,215,215,98,103,113,126,138,150,161,147,202,211,175,144,116,105,104,86,74,78,86,89,102,204,214,215,217,217,217,217,100,104,115,129,140,149,160,148,190,203,169,141,114,104,102,87,75,83,91,88,125,219,211,217,218,217,217,217,99,104,116,130,142,149,162,149,187,196,164,134,113,103,99,89,83,89,99,85,166,224,215,218,218,219,220,220,97,104,117,130,142,152,161,158,193,190,159,129,110,100,100,97,92,95,88,111,211,215,217,219,219,220,221,221,98,105,119,131,142,153,158,162,206,188,154,124,107,102,105,100,95,88,121,199,215,214,217,219,220,221,221,222,100,105,120,133,143,155,157,165,203,180,157,131,111,106,105,102,90,114,208,213,213,216,219,220,221,221,222,222,100,106,120,133,144,156,157,176,193,171,152,134,113,100,95,96,82,163,215,211,217,218,220,222,222,222,223,224,99,106,119,133,145,157,158,198,193,167,141,121,104,90,86,90,88,181,213,214,217,218,220,221,222,223,225,226
0,208,209,211,213,214,219,219,220,221,222,223,226,229,228,227,227,228,229,230,230,228,229,230,229,230,229,228,228,208,210,214,216,218,220,221,222,222,224,224,226,228,229,229,228,230,230,230,230,230,230,229,230,230,230,230,231,208,211,214,218,219,220,223,222,225,228,227,229,229,227,227,231,230,228,230,232,232,233,234,234,232,232,234,232,210,213,215,218,219,221,223,225,227,228,227,230,234,232,239,230,230,235,249,232,226,255,219,225,239,236,234,232,211,215,218,219,220,223,225,228,227,236,255,231,210,255,255,219,190,248,255,228,197,255,218,194,244,235,236,235,214,216,219,219,222,226,225,230,224,255,255,241,177,226,255,225,173,191,255,234,180,221,242,177,233,242,236,237,215,218,221,222,225,223,249,253,214,255,255,251,194,192,255,235,193,172,255,236,174,172,246,197,185,227,241,237,216,219,221,225,224,239,255,255,209,239,255,249,215,194,255,239,193,188,255,225,175,126,221,227,195,178,216,244,218,221,222,225,221,255,255,255,229,217,255,245,221,186,255,251,183,193,255,204,165,85,171,238,222,166,177,252,220,222,224,225,228,255,255,255,245,203,255,250,215,183,255,252,169,162,233,184,137,79,195,253,231,173,186,254,222,223,225,221,242,255,254,255,254,195,245,251,205,175,255,235,167,123,180,173,111,104,251,254,238,168,215,253,223,224,229,220,255,255,246,255,223,164,214,235,191,156,205,201,162,112,177,166,100,190,255,249,207,160,242,249,224,228,225,233,255,255,224,235,182,128,178,207,179,135,151,182,131,111,206,206,214,248,247,227,172,175,255,246,224,228,221,254,255,255,216,214,191,142,160,201,185,117,126,172,145,218,255,255,246,223,217,192,162,194,255,248,228,232,226,246,255,255,249,208,189,160,150,221,192,103,113,209,255,255,255,252,233,205,184,176,147,210,255,250,230,235,230,244,255,255,255,235,202,183,186,218,188,165,237,255,255,255,255,244,217,189,172,161,159,248,254,253,230,234,229,250,255,255,255,251,236,206,208,225,245,255,255,255,255,255,241,222,197,173,160,152,231,255,254,254,229,233,230,252,255,255,255,255,253,232,221,249,255,255,255,255,255,250,225,199,175,164,141,206,255,252,255,255,230,233,231,248,255,255,255,255,255,249,237,248,255,255,255,255,255,236,211,180,163,145,171,255,255,255,255,255,231,233,235,244,255,255,255,255,255,246,239,241,255,255,255,252,240,221,187,167,147,148,245,255,255,255,255,255,231,233,237,238,255,255,255,255,250,233,232,237,245,252,245,230,209,195,170,148,138,234,255,255,255,255,255,255,234,239,242,240,255,255,255,255,250,231,232,242,245,246,229,209,181,165,143,117,213,255,255,255,255,255,255,255,232,228,228,216,229,244,223,214,206,198,210,224,221,217,195,181,162,139,112,196,255,255,255,255,255,255,255,255,183,166,165,158,145,139,137,124,115,104,104,101,91,90,87,90,98,96,120,248,255,255,255,255,255,255,255,255,156,157,154,146,144,141,131,119,112,97,89,76,68,67,63,60,58,64,71,83,195,255,255,255,255,255,255,255,163,160,159,150,146,137,128,118,108,95,89,78,72,70,67,64,62,64,69,40,140,255,255,255,255,255,255,255,186,158,161,151,149,135,126,115,100,93,86,80,70,67,65,61,60,59,61,58,238,255,255,255,255,255,255,255,203,161,156,153,147,135,122,113,101,92,82,78,71,69,65,60,58,61,47,129,255,255,255,255,255,255,255,255
19,175,175,176,178,179,180,179,180,180,179,179,179,178,178,178,178,177,175,175,175,174,174,173,172,173,172,170,169,175,176,178,179,179,180,180,180,181,181,181,180,180,179,179,178,178,176,175,176,175,175,174,174,174,173,173,171,176,177,179,179,180,181,181,181,182,181,181,181,180,180,180,178,178,178,177,177,177,176,175,175,176,174,173,174,178,178,179,180,181,181,182,183,183,182,183,182,181,181,181,180,179,179,178,178,178,178,177,176,176,174,174,174,179,179,180,181,182,183,184,184,184,184,185,183,183,182,182,181,179,179,180,179,179,178,178,177,175,175,175,174,179,180,181,182,183,185,185,185,185,185,185,185,185,183,182,182,181,180,180,181,180,179,178,178,176,176,175,175,179,181,183,184,185,185,186,186,187,187,186,185,185,184,183,184,182,182,181,181,181,180,178,178,178,176,176,176,181,183,184,185,186,187,187,187,187,187,187,185,185,185,185,186,186,184,184,183,182,181,180,180,178,180,178,177,182,184,185,186,187,187,188,188,189,189,187,186,186,185,183,169,171,183,179,178,179,179,177,177,181,162,175,178,182,184,185,186,187,187,188,188,188,185,186,188,186,189,187,173,177,188,177,176,182,177,177,177,168,117,167,181,183,186,185,187,189,190,189,191,194,174,165,171,179,181,176,173,178,180,172,178,191,180,163,145,126,145,180,180,185,186,186,187,190,190,188,189,174,166,172,174,172,176,172,162,138,140,138,140,160,150,145,149,168,183,182,181,185,186,187,188,190,186,192,195,181,183,188,182,171,165,146,141,130,111,111,147,177,177,185,188,186,183,181,182,186,187,188,189,191,183,212,217,201,191,189,182,177,162,129,106,121,110,108,176,192,186,185,183,183,183,182,182,187,187,188,190,192,185,216,213,187,167,151,153,154,148,129,111,120,112,119,186,188,185,185,185,184,185,184,183,188,188,189,190,194,185,204,202,172,142,133,107,111,155,134,116,121,112,127,190,188,186,186,186,185,185,185,184,188,189,191,191,194,182,197,200,167,130,109,91,132,163,135,120,123,111,143,195,188,189,188,187,186,185,184,184,189,190,192,192,196,179,198,202,174,149,117,101,134,132,121,122,120,118,134,195,189,190,189,189,187,185,185,184,189,191,191,192,196,178,197,203,177,152,133,115,90,83,86,97,108,117,116,189,192,189,189,189,188,186,185,185,190,192,192,193,198,174,195,203,178,155,132,127,115,97,91,98,110,113,114,180,194,191,191,190,189,187,186,187,191,192,192,193,198,177,189,200,176,154,133,127,127,113,108,113,117,120,117,180,195,191,191,190,190,189,188,188,190,192,192,193,199,179,187,198,173,151,136,129,128,115,111,116,120,123,124,187,193,191,191,191,191,191,191,189,191,193,193,194,200,184,188,195,171,150,135,127,127,117,115,118,124,122,138,196,193,192,192,192,191,191,191,189,191,193,194,195,199,184,194,193,166,147,135,126,126,124,122,124,131,122,167,199,193,193,193,193,192,191,190,189,192,193,195,196,198,183,199,196,170,150,138,127,126,130,128,132,127,142,195,197,196,195,194,193,192,191,192,190,192,193,195,197,197,181,202,193,175,158,140,128,126,132,131,130,150,189,198,196,196,196,195,195,193,192,191,191,192,192,193,196,193,185,199,185,168,158,140,128,130,130,125,159,198,197,195,196,195,194,193,193,193,192,191,190,191,192,194,196,190,198,198,186,165,151,140,129,129,125,126,182,197,194,195,195,195,194,192,193,192,190,190,189
11,106,112,117,122,125,128,131,135,137,140,141,143,145,148,151,150,152,154,154,156,157,158,158,159,159,158,158,157,108,113,119,123,126,131,134,136,139,141,143,145,149,151,152,153,154,156,158,159,160,160,161,160,161,161,160,159,109,114,120,124,126,131,134,137,140,141,144,146,150,151,152,154,156,157,159,160,161,161,163,162,162,162,161,161,110,116,121,126,129,131,133,137,141,143,146,147,150,153,153,151,160,159,160,161,162,162,162,163,163,163,163,164,111,118,123,126,129,133,135,140,143,146,149,150,152,154,159,137,113,164,161,163,164,164,165,165,164,164,165,165,113,119,124,128,131,134,138,141,144,148,149,152,154,153,163,146,70,156,165,164,164,167,167,167,166,166,167,165,114,120,124,129,133,136,138,144,146,149,151,153,155,153,174,137,69,157,167,166,166,166,167,167,167,166,166,165,114,121,127,130,133,136,140,144,148,151,153,154,155,155,184,108,81,171,164,167,168,167,168,168,168,168,168,168,115,122,127,132,134,136,141,144,148,152,154,156,155,165,186,95,103,176,166,169,170,169,170,170,170,169,169,168,116,123,127,132,135,138,141,144,148,152,154,155,153,180,153,75,128,174,168,170,171,171,171,171,171,169,169,169,117,123,127,132,135,139,142,145,150,152,151,151,159,187,103,68,155,170,168,170,170,171,171,171,171,170,170,170,118,124,128,133,137,138,144,146,146,147,168,166,108,125,83,88,175,168,170,170,170,172,172,171,172,171,170,170,117,124,129,131,135,143,134,148,171,124,128,151,93,64,65,129,177,168,171,171,171,172,172,171,172,172,171,170,117,124,128,156,183,172,124,81,162,118,70,121,89,53,58,161,170,169,171,172,172,172,173,173,173,172,173,173,118,119,152,165,149,172,123,68,142,93,85,139,78,37,80,177,168,170,172,172,172,174,175,175,174,173,173,173,117,126,156,137,116,158,117,72,135,71,103,128,66,31,107,182,168,172,172,172,173,175,175,176,175,175,174,172,112,142,164,115,84,137,105,66,113,65,117,103,50,29,126,179,168,171,172,172,174,174,175,175,176,176,175,173,113,167,161,120,89,116,67,72,89,57,108,80,41,24,136,179,169,173,175,176,174,178,179,175,176,174,175,175,128,186,150,122,92,91,56,87,59,65,128,53,28,32,108,176,169,166,157,148,141,137,159,181,175,175,175,174,152,188,142,120,94,75,68,108,26,38,96,36,61,85,87,130,150,157,155,145,133,110,94,133,181,176,175,175,155,176,147,128,106,82,79,94,78,98,110,125,131,127,135,145,152,146,129,107,99,107,98,66,161,180,175,175,147,172,153,137,114,94,106,137,156,150,146,146,142,124,130,131,98,94,113,130,155,170,156,133,168,179,176,176,151,182,154,141,116,100,121,156,147,137,145,138,128,96,84,83,118,160,179,183,182,180,181,184,178,177,177,176,171,182,144,131,106,101,121,144,136,134,137,118,85,59,99,155,181,178,176,176,177,178,177,177,178,179,178,178,184,143,124,114,106,109,118,123,130,126,106,62,64,129,175,177,174,175,176,177,178,179,179,178,178,178,178,179,181,137,121,123,119,115,114,105,111,88,49,91,159,176,169,171,175,176,176,177,178,179,179,178,179,180,178,177,174,154,110,137,137,118,107,85,76,55,118,168,166,164,167,170,172,173,172,174,176,177,177,178,175,176,178,183,173,157,104,146,140,110,87,70,46,111,170,158,161,165,166,168,170,172,172,173,175,175,176,176,189,199,201,201
11,136,139,144,146,149,151,153,155,157,158,158,159,158,159,158,159,159,158,157,156,156,153,150,151,149,148,144,142,138,143,145,148,150,153,156,157,159,160,160,160,159,161,162,160,159,159,158,157,157,155,152,152,150,149,147,145,141,145,149,151,154,156,158,160,162,162,163,162,164,154,143,164,160,160,159,158,157,156,155,153,152,151,148,149,145,148,151,154,157,160,162,163,165,165,165,163,170,173,96,165,164,162,162,161,159,159,158,155,153,151,156,131,148,151,154,156,159,163,165,165,167,167,168,164,176,187,86,158,169,164,165,164,163,162,159,158,155,155,156,79,149,154,157,160,163,166,167,167,169,169,172,164,188,184,74,158,171,168,166,165,165,164,162,160,158,162,140,46,152,156,158,163,166,167,170,171,174,175,172,169,213,178,77,170,172,170,169,168,166,166,165,164,162,168,125,34,155,159,163,166,167,170,173,173,173,163,188,158,209,165,88,179,173,173,173,172,169,169,168,167,165,169,138,57,158,162,165,168,170,175,169,204,183,105,165,138,94,143,93,158,180,174,175,175,174,172,170,171,168,167,160,76,159,164,167,171,175,169,199,222,203,155,89,122,77,107,88,126,188,176,177,177,176,174,173,173,171,169,171,98,162,165,170,174,172,187,237,175,184,182,102,88,84,122,94,134,191,179,180,180,178,177,177,174,173,171,174,145,165,168,171,174,177,227,210,135,134,178,92,81,76,119,92,141,193,182,184,182,181,180,179,177,176,174,173,168,166,170,175,171,204,235,170,127,153,151,61,89,75,109,84,155,193,185,187,186,183,183,181,179,178,178,175,173,167,171,177,172,217,223,156,100,115,122,64,86,74,105,79,178,192,187,188,187,185,183,181,179,179,179,177,176,169,173,178,173,222,226,171,120,69,71,99,65,87,102,84,194,190,189,188,187,187,186,184,184,182,180,180,177,171,176,179,177,234,223,163,107,70,55,106,63,119,109,56,156,204,191,193,194,188,181,177,175,183,188,182,180,173,177,181,182,244,220,163,117,78,58,69,54,110,94,47,73,177,192,179,158,144,135,131,119,108,150,188,180,173,179,180,190,245,217,167,127,91,69,72,79,97,99,95,93,99,120,125,140,148,132,105,96,77,96,191,182,175,181,181,193,242,213,168,131,97,76,78,123,152,152,139,127,108,111,131,130,109,89,109,156,170,175,187,184,177,182,184,192,241,216,177,140,106,83,96,150,147,133,128,121,105,94,88,93,130,162,193,200,196,192,188,185,179,184,184,199,240,218,185,141,119,93,111,142,140,128,110,107,81,71,125,189,204,201,195,192,193,192,189,186,180,188,181,213,243,219,181,138,119,99,108,122,128,118,96,75,98,170,207,203,198,195,196,195,194,193,190,188,182,186,185,236,234,201,164,128,106,99,110,105,114,106,72,129,206,210,200,201,200,198,198,197,195,195,193,190,184,182,225,244,220,190,151,121,103,103,107,94,89,82,148,216,208,204,203,201,201,200,199,197,196,196,194,192,181,192,245,232,206,182,147,127,112,101,96,75,112,190,216,207,207,207,204,203,202,202,200,199,197,196,195,193,178,206,244,225,178,146,139,125,103,93,70,98,206,216,207,209,208,208,206,205,204,202,201,201,200,197,196,193,180,222,242,215,156,123,118,110,92,77,79,190,216,209,211,210,210,208,208,205,205,204,202,202,201,197,196,195,192,237,238,202,132,116,111,100,82,66,156,220,211,215,214,211,211,209,208,206,206,205,204,203,202,200,198,197
3,122,125,129,130,131,132,133,134,135,135,136,135,132,151,135,121,136,133,132,131,130,129,127,126,125,124,121,119,125,128,131,132,134,135,136,137,138,139,139,139,132,161,161,95,136,138,135,133,133,132,129,129,127,125,122,121,128,130,132,135,137,138,139,139,141,141,141,141,138,152,181,93,119,143,137,136,136,135,133,131,129,127,125,123,130,131,135,137,138,140,141,141,142,142,142,144,143,144,190,126,106,147,140,139,138,137,135,133,131,130,127,125,131,134,136,138,141,142,143,144,144,144,144,145,148,139,189,153,94,144,142,141,140,139,137,136,134,132,130,129,134,136,139,142,143,143,145,147,146,147,146,146,144,163,191,157,105,137,149,144,143,140,138,138,136,135,133,131,136,138,141,143,143,145,147,149,149,147,158,180,164,175,195,197,152,119,147,147,145,142,142,141,139,137,136,134,136,140,143,145,145,147,148,149,153,145,180,202,202,184,142,163,166,96,146,146,134,147,144,143,141,140,138,137,138,141,145,148,149,150,150,151,150,162,192,191,161,174,141,97,163,129,153,123,122,153,146,145,143,142,141,139,141,143,147,150,151,152,152,154,152,193,201,193,145,124,153,116,133,165,150,104,94,156,148,148,147,145,142,141,143,145,149,151,154,154,155,155,160,191,157,131,169,154,125,146,98,98,140,121,82,129,157,149,148,146,145,143,145,147,151,154,155,156,156,155,167,193,134,63,88,117,84,94,81,52,121,147,108,103,157,151,149,148,147,145,146,150,153,155,155,157,159,156,173,189,119,92,81,76,77,76,72,54,106,158,113,112,158,153,151,150,149,148,148,151,154,156,157,159,161,156,180,187,150,127,93,82,82,88,70,61,140,164,112,125,160,153,153,152,151,149,149,152,155,157,159,160,162,159,185,195,159,114,87,85,92,91,95,119,166,169,114,136,161,155,155,155,152,151,151,153,155,158,161,162,164,162,185,193,144,101,85,89,101,103,145,174,180,164,107,145,162,157,157,156,154,152,152,155,159,160,161,163,165,162,185,192,146,106,93,95,105,126,179,191,176,147,101,150,164,160,158,156,156,154,153,156,159,160,162,165,167,164,184,197,156,115,99,101,109,151,192,188,165,121,108,160,163,160,159,158,156,155,154,158,160,162,165,166,168,164,181,199,161,124,105,107,123,174,190,181,158,108,114,168,162,162,166,164,162,154,155,158,161,163,164,166,167,165,178,201,172,134,110,112,131,186,188,169,148,103,125,171,164,166,132,106,102,87,155,158,160,163,165,166,167,168,176,198,176,143,119,120,136,182,183,159,137,99,140,170,173,136,79,81,75,72,155,159,162,166,167,168,168,170,172,191,179,154,132,133,133,168,166,140,120,99,156,172,165,101,76,74,70,66,156,159,163,166,167,168,169,171,172,188,183,162,140,139,120,139,143,115,99,111,176,164,106,71,59,46,34,19,157,161,162,165,167,169,169,177,149,163,195,168,143,128,104,109,113,101,83,135,128,86,72,64,49,36,36,27,161,163,166,170,171,171,177,153,40,124,202,166,130,105,85,88,91,90,54,33,53,74,73,72,56,31,27,30,142,147,151,153,157,158,165,83,0,100,190,147,105,79,68,79,79,66,16,0,26,61,60,65,73,44,21,27,85,86,89,89,89,87,97,77,19,52,135,140,99,63,74,83,64,33,0,7,49,45,45,49,70,62,29,20,84,82,88,87,84,86,90,96,72,57,81,125,94,69,86,74,50,27,11,29,52,30,28,39,57,68,44,20
22,122,127,131,134,138,141,145,149,151,155,159,158,158,161,162,164,165,165,163,164,165,165,167,167,167,166,167,166,127,131,134,138,141,145,150,153,155,159,161,161,168,167,167,168,168,173,169,169,170,169,171,171,170,171,170,171,129,136,138,142,145,149,153,156,160,162,165,167,128,165,172,173,168,130,173,171,166,175,175,177,175,175,175,172,131,137,141,144,148,151,155,161,163,165,172,161,79,153,180,179,179,76,161,186,133,130,186,177,177,177,179,178,134,139,143,147,151,155,159,164,167,167,182,152,64,157,180,191,176,83,166,197,134,91,191,180,181,181,181,181,137,142,146,151,154,158,162,167,169,169,188,149,58,160,181,200,172,92,174,196,132,88,188,183,184,185,185,185,140,145,149,153,156,161,165,168,173,172,190,162,64,160,187,200,158,96,181,200,141,96,191,187,187,186,188,188,143,148,151,156,159,164,168,173,179,174,192,178,66,152,192,198,140,93,185,198,138,103,196,190,191,189,190,188,145,151,154,158,163,167,172,176,181,177,199,180,64,149,198,184,122,97,189,199,136,103,201,192,193,193,194,193,147,152,156,160,166,168,173,178,183,180,200,193,77,139,211,160,114,96,196,200,138,110,204,193,194,194,195,195,148,154,158,161,166,170,174,178,184,184,196,206,134,114,122,143,128,98,203,206,128,120,208,193,197,198,197,197,150,156,160,165,169,172,177,181,185,187,194,194,163,131,104,109,123,117,209,199,117,134,213,196,199,201,201,200,152,157,162,166,169,175,178,184,188,186,203,225,184,176,176,152,90,127,206,191,107,151,213,200,201,201,202,202,154,159,164,168,172,176,180,185,189,193,197,181,187,131,193,173,103,74,160,153,92,172,210,202,202,203,204,204,156,162,166,171,176,178,183,187,190,197,189,155,170,64,108,183,142,74,75,103,73,185,209,203,202,204,205,204,157,163,167,172,177,179,183,189,191,202,205,154,155,101,21,142,186,123,65,61,76,202,209,206,206,206,207,207,159,164,169,173,177,183,187,190,191,210,197,140,131,112,48,79,208,166,101,55,78,211,209,208,209,210,208,208,160,165,169,174,177,182,187,192,191,217,206,151,101,81,68,151,216,177,126,81,79,213,209,210,210,211,210,210,161,167,170,174,179,183,186,192,193,224,200,142,104,110,115,223,209,158,124,85,78,218,211,211,212,211,211,211,162,168,172,175,180,185,189,193,197,217,193,144,135,113,162,221,189,145,101,64,100,222,210,212,212,214,214,213,163,169,173,178,182,186,191,195,196,214,189,141,139,109,186,219,168,129,95,55,131,227,212,215,215,218,218,217,164,168,174,179,182,187,192,195,196,207,186,140,151,121,201,219,155,116,86,56,140,229,215,219,219,220,219,218,163,169,175,177,181,187,191,195,198,199,187,149,168,126,191,200,148,109,80,50,156,229,215,219,219,220,220,220,163,169,174,178,182,185,192,195,200,195,186,156,170,128,180,177,133,102,74,51,177,225,216,219,218,218,220,220,165,170,175,179,184,186,192,196,199,199,193,162,157,119,158,156,114,100,71,63,198,219,217,219,219,219,220,218,165,170,175,180,185,188,192,197,198,198,193,155,126,105,149,129,109,104,65,106,220,216,217,218,220,220,219,219,164,170,175,180,184,188,192,197,194,201,197,161,132,127,157,113,123,89,56,181,225,218,219,219,220,220,219,218,165,170,175,179,184,188,193,197,190,205,205,174,157,137,152,107,125,59,111,224,216,219,220,220,220,220,220,219
15,119,128,137,145,151,152,156,163,170,174,179,182,186,188,191,193,197,200,202,203,205,207,208,208,208,209,211,211,119,129,138,147,151,153,158,166,171,176,179,183,187,191,193,196,199,201,203,205,207,209,209,209,210,212,212,212,121,132,140,147,152,153,159,167,171,176,181,186,188,192,194,198,201,203,205,207,208,209,210,212,213,214,215,215,124,133,141,149,154,156,162,169,173,179,183,185,189,194,196,199,202,205,207,208,210,211,213,215,215,215,215,217,124,134,144,152,155,158,164,169,176,181,184,188,193,196,199,201,203,206,208,209,211,214,216,216,217,217,217,218,124,135,147,149,152,157,164,171,179,183,187,192,195,197,201,204,205,207,209,212,214,215,217,218,219,219,219,221,126,137,142,174,188,168,169,172,180,183,189,193,197,198,201,206,208,209,212,214,216,217,218,219,220,220,221,222,128,139,140,228,220,188,186,179,184,190,190,189,193,200,205,208,208,212,214,215,217,220,220,221,223,223,223,223,129,140,146,191,203,185,184,174,193,196,192,187,173,178,193,199,205,213,216,219,222,222,222,223,225,225,225,226,130,141,151,158,167,163,157,155,177,182,185,186,178,187,183,185,191,202,208,198,203,217,228,222,225,227,227,228,133,141,153,162,163,164,168,170,176,175,169,167,176,188,184,177,173,185,205,197,185,172,190,232,228,226,229,229,134,143,155,162,163,167,176,182,188,191,186,180,179,176,169,161,158,183,196,211,189,170,156,175,233,231,228,231,134,146,157,164,166,169,177,183,188,194,199,202,205,202,193,175,185,202,197,199,194,180,183,163,163,228,234,231,136,147,157,165,168,170,178,184,189,194,198,201,206,212,215,243,232,210,167,174,214,177,193,192,155,152,232,236,136,147,159,166,169,172,179,186,191,197,198,211,213,183,185,218,225,193,134,141,221,172,196,195,188,142,152,236,137,148,160,168,169,172,181,187,192,199,197,231,210,168,170,225,238,193,152,158,192,187,200,192,180,159,126,146,140,150,160,169,170,173,182,188,193,199,201,220,185,165,178,235,239,188,157,165,161,171,186,172,158,158,144,126,142,153,162,170,170,174,182,189,195,201,205,208,206,171,184,230,219,177,162,172,172,170,180,164,137,148,148,145,141,153,163,170,171,175,182,191,196,201,207,204,255,249,167,143,148,148,171,188,183,186,190,169,147,150,149,145,141,153,165,171,173,176,185,191,196,201,209,205,245,255,197,107,63,50,66,104,169,184,183,167,164,161,143,133,143,154,165,172,174,178,185,192,197,203,210,206,240,255,196,119,88,70,43,24,90,168,164,155,140,119,101,85,144,155,166,172,174,179,187,192,198,204,210,209,234,255,174,120,139,130,100,69,51,100,110,94,75,66,61,51,145,157,166,171,173,180,187,192,199,204,211,212,225,255,181,146,180,159,154,146,96,72,68,67,63,61,61,56,144,156,165,170,172,179,184,192,197,203,209,212,218,255,206,140,194,167,160,123,83,75,73,71,67,64,62,59,143,155,165,170,171,178,185,193,199,205,208,213,211,255,229,129,223,227,172,99,73,70,71,71,68,64,63,60,143,156,166,170,174,180,188,195,200,206,210,216,211,250,212,121,229,244,183,89,69,69,70,72,68,65,67,67,144,157,167,172,174,180,188,195,202,207,210,216,218,233,163,187,236,242,198,90,81,76,73,68,67,67,68,66,144,158,168,173,176,181,189,194,202,207,211,215,220,222,218,233,232,236,239,129,90,83,75,68,67,68,67,63
8,129,131,133,133,135,136,137,138,137,137,136,136,136,135,135,135,135,134,134,132,131,130,130,129,129,127,125,123,130,133,135,136,138,138,138,138,139,138,138,138,138,137,137,137,136,136,135,134,133,132,131,131,131,129,127,126,133,135,137,137,139,140,141,140,140,140,141,140,138,140,138,138,138,138,136,136,135,134,134,133,132,130,128,127,135,137,138,141,142,141,141,142,142,142,142,142,139,134,141,139,138,138,139,138,136,135,135,134,134,132,129,129,137,139,140,141,143,143,143,143,145,144,139,151,153,91,131,144,141,139,139,139,138,137,137,135,134,133,131,130,139,141,143,142,143,145,145,145,146,145,140,165,141,64,120,147,141,142,141,141,138,138,137,136,135,133,134,133,141,142,144,144,144,146,147,147,147,147,144,170,116,59,132,148,143,144,143,141,140,139,137,137,137,136,135,134,142,143,146,147,147,148,149,148,149,148,150,170,103,62,144,148,146,145,144,142,141,141,140,139,138,138,136,135,145,144,146,148,148,148,149,150,151,148,157,173,101,74,147,148,146,144,144,144,142,142,142,140,139,138,136,136,146,146,148,149,150,150,152,152,153,148,164,159,81,80,151,148,148,148,146,144,144,143,142,141,140,139,138,137,146,149,150,151,152,153,152,154,154,148,169,157,82,91,156,148,148,144,150,145,143,144,144,143,141,141,139,139,149,151,151,154,156,155,155,156,157,150,178,156,108,107,150,149,161,103,113,157,149,149,143,143,143,143,141,139,150,152,153,155,157,157,158,158,158,155,179,149,121,116,158,169,164,109,67,98,100,135,152,149,144,144,143,141,150,153,155,156,157,157,158,159,159,158,176,155,136,126,173,170,164,141,99,48,49,63,136,126,150,144,144,144,153,155,157,158,158,159,160,162,158,169,186,149,136,142,165,149,157,159,120,109,77,39,73,47,90,154,142,144,155,157,158,161,161,162,162,163,159,180,170,133,127,122,162,136,91,149,139,136,97,43,45,47,27,133,149,144,156,158,160,162,162,162,164,159,168,177,135,104,115,105,150,119,61,68,142,126,93,41,17,39,23,101,158,144,159,161,162,164,164,163,164,162,188,178,145,108,89,78,143,140,102,24,157,140,100,48,14,31,32,132,154,146,158,162,163,164,165,167,162,177,196,170,136,107,90,64,135,145,84,30,137,154,101,51,24,17,85,159,149,149,159,162,165,165,167,167,164,192,192,162,126,102,93,53,61,111,86,76,139,160,103,53,18,69,156,153,152,151,161,162,164,165,168,166,173,198,176,144,133,116,93,63,134,164,155,151,141,144,99,43,60,162,156,155,155,152,162,163,165,167,167,169,185,194,166,153,137,100,84,145,187,173,146,155,127,110,91,47,66,170,155,158,156,154,163,164,167,167,175,148,184,193,164,161,125,91,139,182,171,156,126,141,116,83,86,43,95,168,156,156,157,155,164,165,168,170,175,68,99,197,168,161,111,135,176,181,161,145,122,127,115,63,63,42,157,163,158,158,157,156,164,167,167,180,105,45,39,94,161,150,117,141,166,169,155,142,111,113,103,60,26,99,175,160,162,160,158,156,165,167,177,144,50,46,47,35,58,101,105,133,149,157,146,129,104,108,77,34,37,164,165,163,163,161,160,157,166,172,163,65,46,44,40,48,19,6,39,55,82,114,121,110,102,84,45,16,130,175,164,165,164,162,161,158,166,169,92,43,46,41,38,38,41,0,11,14,11,18,37,50,51,36,12,95,178,165,166,166,164,163,161,158
0,214,216,217,217,218,219,220,219,220,219,218,218,218,219,218,219,220,218,219,219,218,219,220,219,218,218,219,218,217,218,219,218,218,220,221,220,221,219,219,220,220,220,219,218,220,224,220,221,221,221,220,220,220,221,220,220,219,219,220,221,220,220,221,221,221,221,220,220,221,221,231,218,180,191,227,215,217,226,225,223,221,219,221,221,219,220,220,222,224,222,221,222,222,221,225,225,194,184,235,213,179,152,154,173,162,201,220,177,209,225,221,221,220,221,221,222,224,223,222,223,224,225,249,235,195,159,198,220,191,178,107,155,163,142,194,149,187,233,221,223,220,221,222,222,222,224,223,229,209,195,249,232,205,175,192,240,195,185,123,176,177,145,165,156,178,235,223,225,220,222,223,224,224,224,227,255,210,163,204,248,211,183,178,253,211,190,129,191,181,138,136,158,154,239,222,225,222,223,224,224,226,221,241,250,217,190,181,253,221,183,165,252,215,187,124,194,179,125,122,171,115,219,229,225,224,225,225,225,223,239,236,234,230,203,161,234,228,178,147,244,217,174,108,160,165,117,112,179,107,162,239,225,224,225,226,225,226,243,207,226,240,209,153,206,235,176,127,210,207,159,101,132,150,109,114,183,118,137,238,227,226,226,227,223,237,237,194,205,235,207,152,174,225,170,116,172,192,151,109,117,139,97,129,193,133,140,239,228,226,227,227,225,237,231,201,191,214,188,143,145,204,162,111,136,184,146,105,117,142,105,176,207,144,143,240,230,223,225,224,229,238,219,190,161,197,184,139,124,193,160,103,112,183,145,97,136,150,125,208,202,145,151,241,229,222,224,224,224,250,236,201,152,165,186,128,113,186,164,102,107,189,144,153,209,180,142,198,208,146,160,240,228,224,226,225,226,248,237,205,166,127,162,154,110,187,182,112,115,186,189,208,206,189,159,154,195,138,165,242,229,226,227,226,229,252,241,216,186,147,135,161,130,182,193,168,202,216,214,204,192,172,158,139,141,120,159,243,229,226,227,227,229,252,248,224,196,181,170,162,181,199,209,227,228,227,217,202,186,163,145,138,121,105,153,244,229,226,227,226,230,249,248,231,211,199,189,178,178,201,216,226,225,227,219,198,181,162,139,127,122,98,177,243,230,225,225,226,229,243,244,237,224,215,196,186,182,193,212,224,225,220,213,192,175,157,136,124,107,138,230,236,234,230,231,232,225,239,244,245,236,220,200,187,185,194,217,226,226,214,206,189,172,152,133,111,125,223,234,233,234,191,195,201,193,223,245,249,240,220,204,189,184,194,221,228,221,208,200,185,164,142,124,109,208,244,237,240,239,122,124,130,115,170,249,240,233,221,207,195,182,193,217,217,205,193,184,172,152,133,116,131,192,193,196,193,192,130,130,131,120,139,244,228,221,221,213,201,181,189,214,210,193,175,161,150,140,123,121,126,123,119,116,138,174,128,130,131,127,132,237,219,215,223,215,199,181,184,212,207,185,154,135,130,122,122,131,126,125,153,200,240,240,127,129,128,129,131,230,217,216,224,211,197,188,182,205,200,172,133,120,115,122,129,134,162,207,246,247,233,217,128,128,127,131,125,230,231,219,221,206,193,190,177,187,188,156,120,115,115,121,144,218,255,255,250,243,236,215,128,128,128,129,122,228,239,228,220,204,194,196,174,177,181,147,115,110,114,170,243,255,255,254,243,249,254,238,130,128,129,130,123,218,237,234,219,203,194,196,171,169,177,144,113,96,173,252,251,252,255,242,236,245,255,255
8,170,174,177,180,183,180,184,185,185,184,185,185,186,184,183,183,180,180,179,178,176,175,174,173,171,171,170,168,173,176,181,174,161,187,185,186,185,185,185,186,187,185,185,184,184,182,180,178,178,178,177,176,175,173,172,170,176,174,190,175,101,175,191,188,186,187,187,188,188,187,187,186,184,183,184,182,181,180,180,177,177,175,174,172,177,177,193,191,88,146,199,189,191,190,189,190,189,188,188,187,186,185,185,184,182,182,181,178,178,177,174,174,177,180,189,209,94,127,203,190,194,191,190,190,191,190,189,187,186,187,186,185,184,182,182,181,180,178,177,177,179,184,187,199,101,111,206,193,196,196,199,191,194,197,194,190,188,189,188,186,186,183,185,184,182,181,179,177,182,187,186,208,147,95,200,198,193,178,177,199,189,166,180,199,197,193,189,190,187,186,186,186,185,184,182,178,184,187,184,211,169,78,182,201,215,187,127,169,212,138,105,181,174,190,195,188,191,189,187,188,187,184,182,181,185,189,188,205,179,103,140,208,234,230,161,99,205,164,157,106,105,108,189,197,191,193,189,190,189,185,183,181,189,192,191,203,212,147,123,194,225,238,195,90,151,171,178,157,138,116,132,189,194,193,192,193,190,186,184,184,191,193,193,197,217,143,137,180,185,224,200,103,106,159,131,193,196,199,154,95,190,194,191,192,191,188,185,184,190,194,196,197,213,191,163,199,182,187,203,103,74,133,68,157,180,197,167,76,174,200,192,193,193,191,189,186,192,196,200,198,227,223,151,153,178,153,202,146,70,103,68,109,176,205,171,78,172,203,192,193,194,194,191,187,194,197,201,198,223,192,127,126,139,117,176,200,96,73,57,122,204,220,177,77,174,204,194,196,196,195,194,190,196,199,202,198,223,221,164,125,115,107,128,145,103,84,50,139,211,221,173,77,175,206,197,198,198,197,195,191,195,200,203,198,229,230,183,136,109,109,104,165,163,107,132,185,204,207,150,66,160,211,198,199,198,198,195,191,196,200,203,200,234,227,190,156,113,90,123,191,190,193,206,194,173,162,117,58,146,214,200,200,199,199,197,193,195,200,205,203,238,227,196,173,140,94,115,182,223,231,217,186,146,116,91,58,184,208,202,200,199,199,196,193,197,202,205,205,240,229,201,177,156,114,113,195,239,231,210,175,125,91,53,110,217,202,203,202,201,199,196,195,200,203,207,206,234,233,211,187,171,130,129,213,234,217,180,150,104,65,56,195,209,205,205,203,203,202,198,196,201,203,210,207,227,237,216,194,184,141,135,220,217,187,152,119,88,40,135,222,205,207,207,204,204,203,201,199,201,204,208,208,221,238,222,199,179,139,140,204,200,172,140,103,66,65,207,209,208,207,205,204,204,203,201,198,199,202,206,207,222,242,219,193,161,119,147,185,162,153,132,94,38,152,220,204,207,207,206,203,202,202,200,198,201,205,210,202,227,237,207,181,145,131,153,168,138,128,124,57,83,218,207,208,209,208,205,204,204,201,198,197,201,205,210,200,241,233,208,186,158,151,158,151,128,118,91,57,190,216,209,209,208,208,206,205,201,199,208,204,201,205,203,213,245,226,211,190,162,165,154,125,117,100,51,147,221,209,210,209,208,207,205,209,213,209,160,92,202,207,196,223,234,200,190,176,158,159,141,105,103,64,91,216,212,213,210,210,213,215,213,187,139,78,22,4,202,207,191,233,227,183,158,147,144,159,133,83,97,45,166,222,212,213,210,200,179,158,110,47,3,0,0,1
13,163,165,168,169,170,173,174,176,177,180,179,178,179,179,179,179,179,179,180,179,177,177,178,176,176,175,175,174,164,165,169,171,172,174,175,179,178,178,181,180,180,181,180,181,181,180,181,180,178,179,179,178,176,175,176,176,165,168,171,172,174,176,177,180,181,180,181,181,181,182,182,183,181,180,182,181,179,180,179,179,178,177,178,177,167,170,173,174,175,177,180,181,181,182,182,184,184,183,185,184,183,182,180,181,184,183,180,179,180,180,180,179,168,170,173,175,177,178,180,182,182,183,184,185,185,187,182,183,181,185,195,167,130,170,185,184,184,180,181,181,168,171,174,176,178,179,181,182,184,185,186,186,184,174,197,197,147,149,216,170,99,108,182,157,172,185,181,181,171,173,176,179,179,180,182,183,186,187,184,193,190,136,158,212,154,124,207,168,107,64,153,127,97,184,184,183,171,174,176,179,180,180,183,185,186,186,187,222,202,159,105,197,165,119,203,157,100,71,157,140,69,157,192,183,173,175,177,179,182,184,184,186,190,185,205,223,213,172,104,177,173,99,185,167,82,110,188,143,60,135,196,180,173,176,179,180,183,185,187,188,188,189,219,184,206,174,95,149,176,91,189,188,96,90,126,89,51,137,197,182,174,177,180,182,183,185,186,188,184,203,220,189,203,156,87,146,164,85,107,146,82,66,117,111,62,145,196,184,176,179,180,182,184,186,187,185,198,224,201,172,193,135,88,171,146,101,26,28,31,117,177,175,96,155,196,186,178,180,181,184,186,187,190,184,210,227,190,150,170,137,92,178,152,99,24,84,119,160,174,173,113,155,197,187,179,181,182,185,187,187,191,187,218,222,192,156,133,143,75,188,202,97,103,207,193,165,136,126,99,123,199,187,179,181,183,186,189,190,193,191,228,219,199,182,150,113,74,154,169,142,206,202,175,155,128,101,86,91,193,191,180,182,185,187,190,192,191,195,235,218,200,184,171,132,126,128,177,210,209,189,166,144,117,96,81,93,197,191,182,185,187,188,192,193,191,198,235,218,199,189,175,147,132,150,216,217,202,176,151,133,107,94,69,142,202,191,183,185,187,190,193,195,194,196,232,221,202,192,179,154,139,171,214,216,197,169,141,120,99,82,80,190,196,193,184,186,189,192,193,195,195,196,231,223,206,193,178,158,155,189,202,198,182,160,136,111,94,62,112,208,194,197,184,188,190,192,194,195,195,196,230,222,204,192,173,158,174,192,175,175,162,145,126,103,72,78,180,200,195,195,186,188,192,194,194,197,199,195,231,220,210,192,171,167,186,184,163,160,142,125,110,75,92,183,202,196,197,197,187,188,192,195,196,198,198,199,237,223,218,195,180,179,192,175,157,143,125,115,80,91,192,203,198,200,199,199,187,189,192,195,198,199,192,216,242,227,223,193,187,191,184,162,144,121,115,87,84,187,206,200,200,200,200,200,188,189,192,194,198,199,193,229,230,226,219,191,189,186,173,146,123,109,94,77,169,205,202,202,201,201,201,201,188,191,193,195,199,198,199,229,211,208,203,184,181,182,157,128,114,103,72,149,210,202,204,203,202,202,201,201,189,192,194,197,200,194,203,227,203,190,186,171,179,178,137,123,113,81,102,201,206,205,203,204,202,201,201,201,189,192,195,197,202,187,215,226,193,186,181,168,171,155,125,119,97,72,154,210,207,207,203,203,204,203,202,201,190,193,196,198,199,188,231,220,180,178,182,167,156,139,119,109,75,90,190,208,207,207,206,205,205,203,203,201
5,123,128,132,136,138,141,143,145,147,150,151,152,153,156,157,159,160,161,164,164,165,166,167,166,167,168,169,168,125,130,133,136,140,143,144,146,149,151,152,153,156,158,159,159,160,164,165,165,167,168,167,167,167,169,169,168,126,130,134,138,141,144,145,148,149,152,154,154,132,156,160,161,163,165,166,166,159,166,167,169,169,169,169,169,127,131,136,138,142,145,145,149,152,153,154,166,108,145,162,162,165,166,166,173,128,148,170,169,169,170,170,170,128,133,136,139,143,147,160,125,147,155,156,172,110,140,164,163,165,166,169,173,111,142,173,170,171,172,172,171,129,133,137,141,145,144,174,134,122,158,159,178,120,141,166,164,166,168,175,143,101,165,172,173,174,174,173,172,130,134,138,143,146,145,163,159,110,157,163,177,125,139,167,165,167,176,169,107,128,176,173,175,175,174,174,173,131,136,140,144,148,149,158,186,128,147,167,163,111,138,169,167,169,172,141,107,168,175,174,176,176,175,175,175,132,137,141,144,149,150,153,199,151,129,169,152,117,136,170,164,161,138,101,142,178,174,175,176,177,177,176,176,133,138,142,146,150,151,150,190,177,122,164,146,131,130,168,157,150,98,118,176,177,176,177,178,179,179,178,178,133,139,143,147,151,152,152,170,197,163,142,134,132,118,147,151,138,100,166,177,176,177,177,179,179,179,179,179,135,139,144,147,151,152,154,158,194,194,154,115,120,102,115,137,116,126,179,178,179,179,179,179,180,180,181,178,134,140,144,148,151,152,154,157,175,205,179,134,103,98,101,106,100,160,179,179,179,178,179,181,181,182,181,181,134,140,144,148,151,152,155,158,161,201,187,145,104,90,93,92,102,176,174,170,166,165,170,173,171,170,174,172,136,141,146,150,152,153,157,159,158,196,191,145,103,86,85,89,102,139,159,160,151,164,178,174,169,169,159,128,137,142,146,149,153,155,158,160,161,205,189,148,109,83,82,87,105,117,137,138,116,120,137,133,135,152,140,105,137,142,146,150,154,155,158,159,169,214,181,143,108,86,82,88,100,105,102,105,116,151,157,157,158,160,132,121,136,141,147,151,153,154,158,157,187,213,171,138,105,85,83,87,89,94,127,157,179,186,183,167,164,132,125,175,137,142,148,151,154,156,159,159,204,203,165,133,100,84,85,88,79,133,182,187,184,174,157,157,146,109,178,186,137,142,147,151,154,156,159,170,216,198,159,121,99,82,83,94,106,128,137,159,159,155,163,156,119,131,189,183,138,143,148,152,154,156,156,188,214,188,149,120,102,81,86,102,122,133,131,127,150,158,153,129,126,175,187,185,138,143,149,152,153,156,158,206,208,177,142,127,106,80,96,125,141,146,137,131,147,132,125,155,185,188,187,186,139,143,149,152,154,154,172,214,203,172,142,130,107,81,106,140,144,146,139,118,111,131,175,189,187,187,186,185,140,144,149,152,154,153,198,211,195,169,143,126,107,84,114,145,137,143,126,101,141,184,187,186,186,186,186,185,139,144,149,153,152,172,212,200,188,164,129,114,98,85,122,139,130,129,116,161,187,186,187,187,187,187,187,185,140,144,149,153,153,197,203,189,177,152,115,107,91,93,119,122,125,118,167,187,186,187,187,186,187,187,187,186,140,145,150,151,175,200,190,181,176,150,105,99,93,99,104,111,129,167,187,185,186,187,187,187,187,187,187,187,140,145,149,152,202,192,184,175,181,144,94,101,103,92,95,137,179,186,186,186,186,186,187,188,188,187,187,187
6,135,140,145,147,150,154,158,161,165,168,170,172,174,177,178,181,182,183,185,186,186,186,187,188,188,188,187,188,136,141,144,146,150,155,159,162,165,168,171,173,175,177,179,181,182,184,185,187,187,188,188,188,188,188,188,188,136,142,144,146,150,155,160,163,165,169,172,175,177,178,179,181,184,186,186,187,188,189,190,190,189,189,188,188,137,142,145,147,152,156,161,164,167,171,173,175,178,179,180,182,186,188,189,188,189,190,192,191,190,190,189,190,137,144,145,148,151,156,160,164,168,171,173,175,179,180,181,183,185,187,188,188,190,190,192,193,192,191,192,192,138,144,146,149,152,156,161,165,168,172,175,177,179,180,183,184,185,186,186,187,185,187,189,189,188,186,182,183,139,144,147,149,151,156,162,164,169,172,179,183,181,183,187,190,192,196,195,189,193,198,204,198,188,181,165,162,137,142,145,146,150,155,161,165,175,194,203,199,185,177,188,199,205,206,201,190,193,199,203,201,192,182,169,168,136,142,144,146,150,156,168,187,202,205,205,196,179,152,146,168,173,174,172,167,171,166,161,160,157,150,145,150,138,145,146,147,160,182,204,205,201,200,202,201,182,142,111,111,112,117,129,133,136,149,163,170,173,175,176,181,139,145,154,177,197,207,204,200,201,205,206,193,161,136,110,102,100,95,118,160,180,189,192,192,194,195,193,194,147,175,199,208,206,206,201,202,206,203,191,172,144,126,112,108,112,110,108,142,169,190,194,195,195,194,193,194,203,208,208,208,205,208,207,204,204,204,202,195,162,122,108,99,109,118,114,108,97,156,194,196,196,195,194,194,211,210,210,209,205,202,203,201,203,206,211,202,159,123,113,107,101,110,119,122,106,97,165,196,195,195,195,195,216,213,211,204,204,202,203,198,201,209,209,179,145,125,118,120,120,109,98,105,108,101,118,195,194,195,194,194,216,212,207,199,196,194,194,192,196,203,195,167,138,122,120,124,126,122,101,95,93,101,122,188,189,189,188,188,211,208,201,195,195,192,192,189,191,196,193,174,137,110,93,114,128,152,117,106,94,98,115,131,131,131,130,129,208,208,206,201,197,197,198,196,195,200,195,173,131,114,104,101,101,117,125,117,103,103,100,99,99,100,99,98,210,210,205,199,197,195,195,193,197,201,190,161,126,119,121,120,114,106,106,108,112,107,103,104,104,103,103,103,205,202,197,193,192,186,181,179,186,187,173,152,132,128,126,122,113,104,102,100,110,111,108,105,103,102,102,102,191,190,188,183,177,174,166,167,176,171,156,141,130,124,126,124,116,108,106,108,108,109,109,105,105,103,102,102,170,172,167,166,159,158,155,152,152,143,129,119,114,108,108,112,113,112,111,109,106,107,107,104,105,103,101,101,135,136,139,139,140,133,127,120,115,112,110,109,109,108,106,104,106,109,108,107,107,107,107,105,106,103,102,102,120,111,108,108,105,106,108,109,107,110,110,111,110,109,110,108,108,109,108,108,106,105,106,105,107,104,103,103,107,104,98,93,100,107,109,110,111,111,111,111,110,110,110,109,109,109,109,108,106,104,105,105,104,103,102,103,101,89,85,91,102,110,111,110,111,112,111,110,110,110,110,108,108,109,108,108,107,105,104,104,105,104,103,102,120,111,99,96,101,110,111,111,110,110,110,110,109,110,109,108,108,108,108,108,107,105,104,104,104,102,103,103,126,109,100,97,101,109,111,111,110,110,110,109,109,109,108,108,107,108,108,108,107,105,105,104,104,102,103,103
24,59,73,86,96,105,109,110,116,124,128,131,135,137,139,143,146,147,149,151,152,153,153,152,152,152,152,151,150,60,75,88,98,107,110,111,118,126,130,133,137,140,142,145,147,149,151,154,154,154,155,155,155,155,154,154,154,60,75,89,100,107,112,113,121,127,132,135,140,142,146,148,149,151,153,154,155,156,157,157,156,155,155,156,155,63,78,91,103,110,110,118,124,129,133,137,142,145,148,150,152,153,156,157,158,157,159,159,158,157,157,157,156,63,79,91,105,109,144,110,120,133,135,140,142,147,149,152,154,155,157,159,161,160,161,161,160,161,160,160,160,63,80,93,103,117,162,83,93,140,137,141,145,148,152,154,156,159,159,161,162,163,163,162,162,162,162,163,162,65,80,95,106,114,138,77,66,137,139,144,148,150,156,157,159,160,166,165,165,166,163,165,164,163,163,163,163,65,82,96,107,111,140,91,47,124,146,145,152,153,152,156,169,170,135,154,171,166,167,167,166,166,165,165,164,66,83,97,109,115,127,113,59,88,149,144,134,161,158,101,150,187,124,79,161,172,169,168,169,168,167,168,167,68,85,99,110,119,121,143,82,52,135,168,114,161,177,86,121,176,120,57,94,180,170,170,170,170,170,169,168,68,86,99,111,120,121,136,107,75,136,200,140,179,187,99,160,159,80,52,58,164,175,172,171,171,171,172,171,70,86,100,113,122,124,131,154,105,140,216,145,170,183,92,170,148,56,39,47,126,185,171,174,174,174,169,159,72,88,101,113,122,125,128,148,132,163,206,137,149,183,95,177,156,54,41,54,84,188,174,177,175,168,157,136,72,89,102,115,123,127,127,148,199,169,185,150,130,170,97,192,158,39,36,55,45,162,186,172,173,174,141,94,74,90,104,117,125,129,129,157,185,142,151,137,91,146,102,203,123,21,46,65,53,96,171,164,178,154,93,59,76,92,106,118,125,130,131,154,206,165,140,124,79,131,104,71,28,43,58,82,109,122,146,153,139,84,59,144,76,93,107,119,125,129,132,150,209,182,140,120,128,132,154,72,79,143,138,147,144,137,128,116,72,76,168,188,76,93,108,120,128,130,134,147,202,189,161,130,123,132,165,169,197,188,175,160,139,113,96,65,72,180,188,181,77,95,109,120,128,130,135,146,200,190,157,130,142,184,203,209,191,175,161,144,116,89,56,62,174,191,184,184,78,96,110,120,128,130,137,143,193,193,164,149,156,187,208,206,189,165,146,119,88,49,68,170,194,185,187,185,79,96,109,121,129,131,138,141,179,197,174,160,149,184,207,199,181,152,125,96,47,96,188,193,188,190,188,187,80,97,110,122,130,132,139,144,168,196,176,149,135,177,186,173,162,137,107,50,104,200,193,189,191,191,189,188,79,96,109,123,130,131,138,144,161,186,154,129,134,176,167,146,128,102,50,98,199,191,190,192,192,191,190,188,78,96,109,121,128,130,135,143,157,179,153,145,149,177,160,126,101,54,58,189,193,190,190,190,190,189,190,189,78,95,110,122,129,130,137,145,157,201,180,167,159,172,150,108,88,40,128,197,187,190,192,192,191,191,191,190,78,95,110,122,129,130,137,147,156,209,197,173,152,166,133,98,76,48,162,195,191,192,194,193,192,192,192,192,78,95,109,122,129,130,137,146,153,189,179,157,149,166,126,109,57,52,176,194,191,193,192,192,192,192,193,192,76,93,109,121,128,131,137,143,157,183,161,135,144,156,123,100,38,55,184,193,192,192,193,193,193,193,193,193
1,152,154,157,159,160,162,162,162,163,163,163,163,162,162,162,159,157,161,156,155,154,153,152,150,148,147,145,145,155,156,159,161,163,164,164,164,164,164,165,165,164,165,162,164,153,123,159,159,155,154,153,152,150,148,147,146,156,159,162,165,165,167,167,167,168,166,167,167,167,167,163,178,159,65,135,154,158,156,156,154,153,152,150,148,158,162,163,166,168,170,171,171,171,170,170,170,167,173,150,153,156,81,137,95,145,163,159,156,155,155,152,151,162,164,167,169,170,172,174,173,173,173,173,174,169,187,130,110,140,82,154,87,128,170,161,160,159,156,155,154,164,166,170,172,172,174,175,174,175,176,176,176,176,190,115,114,143,86,148,85,113,176,162,163,161,159,157,156,166,168,170,175,175,175,177,178,178,178,179,175,167,187,98,110,141,86,145,89,105,178,166,167,164,163,161,159,169,171,174,176,178,179,180,181,182,181,182,180,122,173,95,104,138,84,144,101,103,178,169,169,167,166,163,162,170,174,177,179,180,181,182,181,182,181,193,162,98,161,85,122,141,84,135,99,103,180,170,171,169,167,165,165,173,175,178,180,182,183,184,184,184,183,199,139,87,144,81,159,146,88,155,119,99,183,174,174,172,170,168,166,174,176,181,183,182,184,187,189,187,186,201,124,99,160,89,153,124,85,176,127,105,185,176,176,173,172,170,169,175,179,183,187,187,189,189,190,189,196,200,97,106,152,68,123,89,78,172,113,109,187,177,178,176,174,172,171,178,181,184,187,190,192,190,191,189,204,195,106,145,117,81,124,106,128,167,106,111,189,179,181,178,175,175,172,181,183,186,189,191,193,192,193,189,213,177,98,167,154,143,133,122,154,146,102,113,191,180,181,181,179,177,174,182,184,187,190,193,194,195,195,193,215,176,148,125,161,181,180,136,104,112,93,112,194,184,184,183,179,179,175,183,186,190,191,192,195,196,195,201,211,180,150,94,124,135,170,174,144,102,67,109,197,187,186,185,181,180,178,183,188,191,191,193,196,198,194,210,208,153,120,108,113,119,161,183,172,151,89,102,201,187,188,185,184,183,180,185,190,192,193,195,198,199,194,218,212,143,125,133,123,152,178,180,191,160,131,88,177,195,189,188,184,182,181,187,190,193,195,198,199,201,197,222,213,151,133,136,136,181,209,191,178,152,130,79,161,199,189,189,187,184,182,188,191,194,196,198,200,200,197,217,218,171,145,130,149,205,219,191,160,127,107,78,161,200,189,189,189,186,182,187,192,196,198,199,202,201,198,214,229,193,153,139,145,219,229,183,140,110,85,78,161,202,191,190,190,186,184,189,192,196,198,201,203,204,202,209,225,192,158,145,133,217,210,169,128,102,81,86,184,199,195,193,190,189,186,190,193,197,200,201,202,204,204,207,216,188,170,146,142,204,187,153,119,96,79,108,200,195,196,194,191,191,188,190,192,197,200,202,203,204,205,205,209,199,193,158,172,195,166,136,108,91,80,154,205,196,197,194,191,190,188,191,194,197,200,202,204,203,205,204,203,204,194,155,151,167,148,118,98,85,96,192,200,199,197,195,193,191,189,192,195,198,200,202,204,205,206,208,206,195,175,146,131,139,134,114,98,81,120,208,199,199,198,196,193,191,191,192,195,198,201,204,204,205,205,207,207,188,158,143,145,140,136,131,97,78,155,209,200,199,198,195,193,192,192,190,193,196,200,202,202,204,204,203,203,199,174,173,165,144,129,129,89,75,181,204,198,199,197,194,192,191,190
13,170,172,175,176,178,180,182,184,185,187,187,186,187,187,187,187,187,187,187,186,185,184,185,184,183,183,182,182,171,172,176,178,180,182,183,186,186,186,189,188,188,188,188,188,188,188,189,188,186,186,187,186,183,182,184,183,172,175,178,180,182,183,185,188,188,188,189,189,189,190,190,191,189,188,190,189,187,187,187,187,186,185,185,185,174,177,180,181,183,184,187,189,189,189,190,192,192,191,193,192,191,190,188,189,192,191,187,187,188,188,187,186,175,177,180,183,185,186,188,190,190,191,192,193,193,195,189,191,189,193,203,174,136,177,193,192,192,188,189,188,176,178,181,184,186,187,189,189,192,193,194,194,192,182,205,206,153,156,225,177,103,112,190,164,180,193,189,189,178,181,184,187,186,188,190,191,194,195,192,201,199,142,165,222,161,129,216,175,111,67,159,132,100,192,192,191,179,181,183,186,188,188,190,193,194,194,195,231,211,165,109,206,172,123,211,164,104,74,163,146,72,164,200,190,180,182,184,187,190,192,192,194,198,193,214,233,222,179,108,184,181,103,193,174,85,114,196,149,62,140,205,188,181,184,187,188,191,193,195,196,196,197,228,192,215,182,99,155,184,94,197,196,99,93,131,92,52,143,205,190,182,185,188,190,191,193,194,196,192,211,229,197,212,163,90,152,171,88,112,152,85,68,121,115,64,151,205,192,183,186,188,189,192,194,195,193,206,233,210,179,202,141,91,179,152,105,27,28,32,121,184,183,100,162,204,194,185,187,188,192,195,195,198,192,219,237,198,156,178,142,95,185,159,103,25,87,124,166,182,180,118,162,205,195,187,189,190,193,195,195,199,195,227,231,201,162,139,149,78,196,211,101,107,216,201,172,142,131,102,128,208,195,187,189,191,195,197,198,201,199,238,229,208,190,156,117,76,160,176,147,215,211,182,161,133,105,90,94,202,199,188,190,193,195,198,200,199,203,246,228,209,192,178,138,132,134,185,219,218,197,174,150,122,100,84,97,205,199,190,193,195,196,200,201,200,207,245,228,208,197,182,154,138,157,225,226,210,184,157,139,112,98,72,148,211,199,191,193,195,198,202,203,202,204,242,231,211,200,186,160,145,178,224,225,206,176,146,125,103,85,82,199,204,202,191,194,197,200,201,203,203,204,241,233,216,201,186,164,162,197,211,207,190,167,142,116,98,64,117,217,202,205,192,196,198,201,202,204,204,204,240,232,213,200,181,165,181,200,183,182,169,151,131,107,75,80,187,209,203,204,194,196,200,202,203,205,207,203,241,230,219,201,178,174,194,192,170,167,148,130,114,78,95,191,211,205,206,205,195,197,200,203,204,206,207,208,248,233,228,203,188,187,200,183,164,149,130,120,83,94,201,211,207,208,208,208,195,197,201,204,206,207,200,226,253,237,232,202,195,199,192,168,150,126,119,91,87,195,215,209,208,209,209,208,196,197,201,202,207,208,201,240,240,236,229,199,197,194,180,152,128,113,98,79,177,214,210,211,210,210,210,209,196,199,201,204,207,206,207,240,221,218,212,192,189,190,164,133,118,107,75,156,219,211,213,212,211,210,210,209,197,200,202,206,209,202,212,237,212,198,194,178,186,186,143,128,117,84,106,210,215,214,212,212,211,210,209,210,197,201,204,206,211,195,224,236,202,194,189,175,179,161,130,124,101,75,160,219,216,216,212,212,212,212,210,210,199,202,204,207,208,196,242,230,188,185,190,174,163,145,123,113,78,94,199,218,216,216,215,214,213,212,212,210
21,85,98,114,126,134,137,146,154,160,164,167,170,172,175,177,178,180,181,180,180,179,179,178,176,176,174,173,173,84,99,116,127,134,138,149,156,162,166,169,177,178,178,182,183,184,185,185,184,183,182,182,181,180,180,178,178,86,100,116,128,136,140,150,158,163,173,179,133,165,187,184,186,188,188,188,188,187,189,189,185,185,184,182,182,87,102,118,130,136,141,152,160,163,177,185,125,115,193,186,189,189,190,190,191,193,153,171,193,187,187,187,186,88,103,119,131,137,143,154,161,166,174,191,154,93,174,193,189,192,193,193,194,204,140,114,199,191,191,190,189,89,105,121,133,139,145,155,163,169,172,201,170,95,142,201,192,194,194,195,196,210,156,96,188,198,194,194,193,91,107,122,135,140,146,157,165,171,173,199,184,101,109,200,195,196,196,198,200,212,158,95,172,203,195,196,196,91,109,124,137,141,148,158,166,172,174,191,191,120,95,185,199,198,199,200,202,209,150,97,162,207,197,199,198,93,109,125,139,143,150,161,168,174,178,186,206,154,100,161,206,198,201,201,204,205,154,101,162,209,198,200,200,94,111,127,140,145,152,163,171,176,181,183,211,171,106,132,208,199,202,202,207,207,161,103,168,210,200,200,199,96,114,129,141,145,154,165,172,177,182,182,212,181,111,110,200,203,203,203,211,198,153,105,176,209,203,208,211,97,115,131,144,147,155,165,172,178,183,184,210,193,128,102,183,207,205,205,215,185,143,100,194,220,205,180,144,99,116,132,144,147,157,166,174,180,184,186,203,212,159,110,158,212,204,205,219,189,143,102,166,130,92,72,58,101,118,134,145,149,158,169,176,181,186,187,193,200,167,115,132,211,205,208,216,182,146,95,62,52,54,57,68,101,119,135,146,150,160,170,176,182,185,195,186,145,130,119,113,203,208,210,205,170,138,80,54,55,57,49,54,100,118,135,145,150,159,170,176,181,182,206,195,164,174,118,93,182,209,193,182,159,122,73,48,44,59,55,45,101,120,136,146,150,160,170,176,183,184,212,216,200,198,132,94,116,156,165,165,139,103,56,58,41,47,61,52,102,120,137,146,150,161,171,176,182,183,211,224,215,191,143,106,89,103,140,153,127,94,35,50,57,37,50,57,100,119,137,146,151,161,170,177,188,153,153,192,214,194,172,127,112,108,103,114,112,91,33,31,61,51,39,51,109,122,136,145,150,161,169,181,203,157,133,127,187,167,181,155,138,140,104,78,93,90,44,21,46,62,45,42,106,105,110,113,115,120,114,164,215,192,168,120,125,148,135,159,150,143,125,92,76,81,58,20,31,56,57,47,106,106,107,108,109,112,101,166,194,199,182,140,97,103,108,92,127,147,144,123,94,71,66,27,23,47,58,53,110,112,111,112,114,116,106,169,169,152,188,154,103,74,108,80,75,164,172,152,128,91,68,39,19,36,55,53,111,112,112,113,115,117,107,178,190,144,154,170,113,92,90,99,76,134,199,177,150,118,86,54,22,26,50,54,111,112,112,112,114,116,108,178,189,156,110,134,141,131,97,105,103,141,159,198,171,133,103,79,32,18,42,55,111,112,112,112,113,117,107,166,192,141,106,100,129,150,115,121,131,166,150,184,188,146,112,95,46,16,30,50,111,111,111,112,113,116,107,144,189,146,136,118,107,129,136,148,162,176,201,181,169,127,119,99,53,26,21,41,110,110,111,112,113,115,109,129,197,172,149,121,121,133,152,167,195,197,199,176,148,97,113,93,54,40,19,28
20,130,132,136,138,140,142,144,145,145,147,148,146,145,146,146,143,145,133,142,143,141,140,139,138,136,136,135,135,130,134,138,140,142,144,146,147,148,148,149,149,148,147,146,148,158,101,113,146,143,141,141,139,139,139,137,136,131,135,138,141,143,145,147,148,149,149,150,149,149,149,147,155,159,97,84,125,109,143,141,141,141,140,139,137,134,137,139,142,144,147,148,150,151,151,151,150,150,150,147,158,153,91,87,135,75,132,147,142,142,140,140,139,135,138,141,144,146,148,150,152,153,152,153,154,152,151,148,168,159,94,92,136,78,123,150,144,144,142,141,140,136,140,142,144,147,149,151,153,153,153,154,154,154,154,150,175,153,93,100,137,84,124,152,145,145,144,143,141,137,141,143,146,148,150,152,154,153,155,155,155,155,153,157,169,133,83,124,148,91,118,154,146,146,145,143,143,139,143,146,147,149,151,153,155,155,156,156,156,159,157,165,166,126,69,129,140,85,118,156,147,148,147,145,143,140,144,147,149,151,153,154,157,156,157,158,157,141,129,173,167,120,69,137,134,77,124,156,148,149,148,147,144,141,145,147,149,153,154,155,157,159,160,158,166,137,80,154,149,83,90,157,130,79,132,158,151,150,149,148,146,143,146,149,151,153,155,156,158,160,160,166,176,147,109,112,84,50,106,146,118,74,142,157,151,150,150,149,148,144,147,149,152,154,157,159,159,161,159,136,153,164,137,95,74,60,103,114,90,75,155,154,153,153,152,151,149,145,148,151,154,156,158,160,160,172,168,113,114,169,128,118,112,106,111,85,69,98,165,154,155,154,153,152,150,146,149,153,155,157,159,160,166,185,176,132,118,145,137,134,122,130,119,68,53,129,164,156,156,155,154,152,151,147,150,154,156,159,161,159,177,173,179,133,111,158,145,119,118,119,103,80,48,136,165,157,157,156,154,154,153,148,151,155,157,159,161,161,189,168,158,144,92,132,123,61,65,119,112,96,54,131,167,158,158,157,155,156,153,149,152,156,159,161,161,168,183,151,144,145,75,53,56,37,36,115,142,108,68,85,168,159,159,158,157,155,154,150,153,156,159,162,163,167,192,179,162,133,109,72,37,72,133,142,149,122,84,52,139,166,159,159,158,156,155,150,154,158,160,162,163,169,194,184,159,127,141,87,63,150,177,160,135,117,86,59,128,169,159,160,159,158,155,151,155,159,161,163,164,170,194,187,153,125,114,75,118,180,159,140,129,92,85,61,149,166,161,161,160,158,156,152,156,160,161,164,165,170,192,182,152,149,104,119,184,168,139,118,128,89,65,73,169,162,162,162,161,159,158,153,157,160,162,166,167,170,189,181,160,154,110,151,183,157,139,124,121,103,48,106,176,164,164,163,161,160,158,153,157,160,164,166,167,170,181,177,162,154,115,143,165,146,135,115,105,88,49,151,170,164,165,163,162,161,158,154,158,161,164,164,169,172,180,176,164,147,117,115,136,127,114,97,91,53,98,177,165,167,166,164,163,161,159,153,157,160,162,172,152,68,138,173,160,121,94,96,106,121,105,85,58,57,165,171,168,167,166,165,164,161,160,153,155,158,166,160,75,41,53,122,134,104,98,104,107,125,98,70,46,138,175,166,167,166,166,164,162,161,159,153,156,161,164,83,44,55,46,53,102,117,111,107,107,115,86,47,111,180,167,168,167,166,165,164,162,161,159,153,156,168,101,49,58,45,49,44,50,86,95,98,96,87,63,65,169,172,170,169,167,167,166,165,164,162,161
24,73,82,89,95,98,104,106,109,112,116,118,121,124,126,129,129,131,132,134,135,138,140,140,140,140,140,140,140,75,83,91,96,101,105,107,110,114,117,119,125,126,128,130,132,134,135,138,141,141,142,142,141,141,140,142,142,77,85,93,97,102,106,109,113,117,119,122,125,130,131,131,134,135,137,140,142,142,143,142,142,143,144,143,144,79,86,95,101,104,108,109,113,117,120,123,127,131,132,133,136,137,140,142,143,143,144,146,143,146,147,146,147,81,89,97,102,106,108,113,115,120,123,127,128,131,131,133,137,140,141,141,144,146,149,148,146,148,148,147,149,83,90,97,104,108,118,103,117,120,124,127,131,133,133,137,140,141,142,144,145,146,148,148,148,149,150,150,148,83,91,98,100,129,126,58,114,123,125,128,133,135,137,140,141,143,144,147,147,147,149,150,151,151,152,151,153,85,94,100,102,152,91,56,120,124,128,131,134,137,138,141,141,144,147,148,151,154,155,151,151,153,154,153,154,87,97,97,120,154,67,74,127,124,131,136,136,138,144,145,144,145,148,148,137,109,126,155,153,155,154,155,155,87,99,92,146,141,51,95,128,129,124,115,136,135,114,131,151,147,152,119,76,50,60,155,157,156,156,156,157,88,98,99,170,115,88,109,110,153,127,70,107,137,100,74,131,158,139,79,43,44,107,160,156,157,158,158,157,92,96,111,174,116,168,125,97,152,124,58,113,124,103,57,81,176,117,61,42,132,164,157,158,159,159,159,158,92,92,132,171,156,179,135,97,144,111,48,107,112,80,41,122,151,92,44,88,172,155,160,160,161,160,160,161,94,91,147,169,154,201,135,89,137,103,39,28,90,84,92,137,100,62,44,145,162,160,162,163,162,163,163,162,97,92,158,187,149,187,128,74,144,84,60,77,124,131,111,104,89,41,85,171,160,164,164,163,163,163,164,164,94,106,172,171,144,163,109,56,137,145,156,161,134,107,86,72,76,41,133,171,163,164,164,165,165,165,165,165,86,138,148,130,113,134,119,88,170,192,171,150,123,96,70,61,56,57,165,165,166,166,165,167,168,168,167,167,93,176,152,123,101,101,122,179,198,181,170,151,114,84,59,57,38,101,177,165,168,168,168,168,168,168,168,168,121,198,153,130,115,89,123,205,181,168,156,128,100,72,53,49,33,140,174,168,169,170,171,171,169,170,170,170,161,202,154,145,134,146,185,195,172,150,138,109,81,62,51,47,39,152,174,169,170,170,171,172,172,172,172,171,185,203,166,155,144,174,187,170,151,132,122,95,69,57,51,41,61,172,170,171,172,172,171,174,173,173,173,172,189,214,177,157,141,159,171,156,143,118,112,83,62,49,46,31,123,177,169,172,172,174,173,175,175,174,173,174,175,220,181,167,149,153,167,160,136,116,104,74,54,42,23,85,176,170,172,174,175,174,175,176,176,175,176,175,147,210,176,160,159,148,147,154,124,100,87,65,39,27,94,166,170,171,173,175,177,178,177,175,175,177,178,178,131,188,179,164,165,148,128,144,124,95,77,50,18,95,175,168,171,173,174,175,176,178,178,177,179,179,178,179,120,184,181,165,152,146,120,134,117,93,72,28,50,162,165,169,172,174,175,176,177,178,179,179,179,180,180,179,121,193,184,157,136,145,120,121,111,87,71,26,95,174,165,170,173,175,175,178,179,178,179,179,180,181,181,181,128,193,185,148,124,149,116,111,112,84,63,30,105,174,165,171,174,175,177,179,180,180,180,181,181,181,182,182
13,155,157,163,168,173,175,178,181,184,185,187,188,190,191,192,193,193,193,193,193,193,193,193,192,192,190,188,189,156,158,163,169,174,176,179,182,184,186,188,189,191,192,193,193,193,193,193,194,195,194,193,193,193,192,189,189,157,158,164,170,174,178,180,183,186,187,190,190,192,194,195,193,195,195,195,197,197,196,195,195,194,192,191,191,157,160,166,171,175,178,181,185,186,189,192,190,192,191,193,198,196,196,196,197,197,196,196,195,195,194,193,193,157,160,166,173,176,179,183,186,188,190,191,192,226,207,158,182,201,196,198,201,198,198,197,196,196,195,194,193,158,161,166,173,178,181,183,186,188,188,189,202,255,235,176,153,205,201,177,179,201,197,198,198,198,196,195,194,159,162,167,173,178,182,185,187,185,199,195,189,250,238,199,151,169,186,158,116,184,204,198,199,199,197,197,195,159,162,167,172,178,183,185,182,204,239,195,164,204,211,184,121,151,148,126,103,150,208,198,199,199,199,198,197,159,162,169,174,179,179,199,184,209,246,207,161,180,199,168,119,161,132,106,100,145,210,199,201,201,200,199,198,160,164,171,176,177,190,243,190,156,227,226,176,146,205,205,191,178,151,103,85,150,211,201,201,200,200,199,199,161,165,171,178,172,218,246,206,158,183,232,188,121,130,200,205,189,190,158,89,165,211,202,202,201,201,200,199,162,165,171,177,178,222,229,219,174,143,220,191,144,68,119,157,185,204,206,143,171,212,202,204,204,202,201,200,160,164,169,172,181,226,211,216,183,129,185,209,154,82,78,100,173,226,227,201,140,193,206,202,201,200,200,200,159,163,170,170,195,244,210,208,197,137,132,214,159,87,82,167,204,204,207,200,143,147,212,202,203,201,200,200,161,164,171,168,229,240,200,184,195,155,97,187,183,135,184,225,210,204,182,163,164,125,196,206,204,203,202,201,161,166,173,168,235,242,211,171,167,191,125,156,223,232,227,209,199,194,169,145,150,127,191,208,203,204,203,202,160,165,172,169,238,247,221,207,185,189,208,224,239,238,214,199,197,173,154,136,121,155,209,204,204,204,203,201,157,164,170,171,241,251,230,219,206,191,214,236,236,231,206,185,177,160,148,119,127,199,206,203,202,203,202,201,161,166,173,171,234,251,236,219,205,192,208,232,231,215,191,168,158,157,133,118,187,214,209,209,207,205,205,205,144,145,151,140,209,251,237,225,208,198,211,229,215,186,173,164,162,145,117,124,156,153,153,151,150,149,148,149,116,117,121,106,161,250,235,227,211,205,209,223,204,173,159,166,156,128,117,114,110,108,108,107,106,106,105,104,124,126,127,122,136,238,229,225,212,200,201,220,206,165,148,151,134,118,119,120,120,118,116,116,115,114,114,113,124,124,126,127,123,222,223,225,218,201,196,217,201,151,137,134,120,117,119,117,118,119,118,116,115,115,115,113,127,127,126,128,117,207,225,230,226,208,190,210,199,149,134,124,117,121,120,118,117,117,118,117,116,117,115,114,128,129,129,131,115,196,232,238,234,218,187,202,203,154,130,117,117,122,120,118,117,117,118,116,115,116,114,114,126,128,129,132,119,172,242,240,235,216,187,194,204,156,126,113,117,123,121,119,118,119,117,115,117,116,115,108,127,128,127,127,124,142,234,230,212,200,186,187,196,156,126,110,119,123,120,119,118,121,117,115,117,117,107,174,127,127,128,129,128,127,225,226,195,193,196,180,186,160,127,109,117,123,121,119,119,122,117,115,117,109,150,233
4,202,203,203,203,204,205,204,203,205,205,204,206,206,206,206,206,206,206,206,205,207,205,203,203,204,203,202,202,204,205,204,205,205,206,206,206,206,207,206,207,206,206,206,206,207,207,206,206,206,206,206,206,205,206,204,203,206,206,207,206,206,207,206,207,207,207,206,206,206,207,210,208,208,209,211,209,207,206,207,206,206,206,206,204,206,207,207,207,208,207,207,207,208,208,209,209,209,196,188,204,207,190,186,209,211,210,207,207,207,207,207,205,207,208,208,208,208,208,209,208,208,208,200,206,236,213,176,168,217,192,156,157,206,197,210,211,209,209,208,207,208,208,208,210,209,209,211,211,209,220,215,191,194,240,200,156,222,214,170,125,182,159,150,210,211,208,208,208,209,208,208,209,211,211,211,209,214,231,230,204,155,221,212,146,216,221,171,158,212,178,119,153,219,207,210,209,209,211,211,212,211,212,214,209,222,213,224,205,153,198,214,130,196,224,158,162,217,177,129,131,218,211,211,211,210,212,212,212,213,213,212,214,232,190,213,210,140,178,219,148,164,204,142,170,224,197,129,144,222,211,213,211,210,212,212,213,214,214,210,223,218,161,175,216,151,158,220,197,185,185,190,213,229,200,141,159,224,212,214,212,211,212,212,213,215,214,214,227,217,190,167,192,151,133,164,196,197,197,211,213,209,185,165,135,213,215,215,213,212,212,212,213,215,213,224,225,209,194,168,147,121,123,138,135,170,178,184,195,185,170,187,124,180,224,213,214,211,213,213,213,214,214,226,214,188,165,159,143,121,129,148,116,146,151,153,165,153,186,192,141,141,225,214,215,212,213,214,214,215,214,229,218,188,156,137,132,127,139,145,143,174,172,150,118,175,223,200,169,120,200,221,214,212,213,214,214,216,215,236,231,202,167,138,121,127,147,138,172,194,188,162,177,191,218,214,195,132,155,228,214,212,213,213,214,215,217,235,234,209,171,137,125,127,149,160,199,186,195,204,220,218,207,220,188,141,129,223,217,211,212,213,214,213,219,236,235,218,172,138,139,131,136,168,187,194,215,220,214,216,202,190,171,145,120,209,220,211,212,213,214,212,219,237,232,223,173,145,159,145,150,178,191,212,218,216,210,203,193,167,151,135,132,216,218,212,213,213,214,213,222,233,231,213,179,175,164,151,190,209,219,225,220,212,201,190,176,154,132,119,192,222,217,212,213,213,214,213,222,234,230,217,197,187,168,151,205,225,223,229,218,204,191,179,162,142,114,166,224,217,219,213,214,214,214,214,216,236,229,227,209,187,186,159,195,227,224,224,209,189,180,170,151,125,135,219,219,220,219,213,213,213,214,215,208,229,231,233,217,197,188,172,193,226,220,214,199,180,169,155,138,116,195,226,219,220,218,216,216,217,217,219,209,220,230,222,208,199,187,177,191,216,211,201,188,169,158,145,117,150,226,219,220,220,219,194,197,202,202,206,200,217,232,214,199,199,191,180,189,200,199,186,172,158,152,134,120,211,229,225,225,225,224,132,133,133,134,139,129,204,232,210,204,206,197,183,188,196,194,182,160,147,144,120,143,197,194,200,201,197,196,129,129,127,128,131,115,197,234,212,211,207,198,184,189,200,199,181,147,138,129,122,126,128,128,121,123,151,163,131,130,132,132,135,119,198,238,214,211,210,206,185,184,200,195,164,135,129,119,127,130,126,129,162,187,218,233,130,130,131,131,135,118,194,242,215,212,217,219,188,173,196,183,147,130,121,124,141,143,164,199,240,225,187,208
4,188,188,188,188,188,187,187,186,186,185,185,183,184,183,183,183,178,178,178,177,177,177,176,176,174,172,171,170,189,189,189,189,189,188,188,188,188,188,188,187,185,182,173,174,184,180,179,178,178,177,176,177,175,172,172,170,190,191,190,190,190,190,189,189,186,172,163,173,184,179,151,125,147,188,181,179,183,178,177,176,175,174,172,172,192,192,191,190,190,191,190,191,190,180,172,152,145,150,166,149,117,152,158,135,143,178,179,177,176,176,174,172,192,192,191,191,191,192,190,186,187,182,180,177,154,122,122,154,144,113,111,126,97,143,187,176,177,176,175,174,193,192,192,193,193,192,183,175,174,162,129,130,161,121,90,133,140,114,90,120,110,109,183,178,177,176,174,173,194,193,194,193,193,193,191,192,178,164,131,97,140,124,89,113,127,100,95,130,121,97,171,181,176,176,175,174,194,195,194,195,193,195,175,155,144,171,139,103,123,142,119,111,120,88,103,133,118,97,171,182,177,176,175,174,195,195,195,195,194,196,183,141,98,140,167,129,129,151,162,145,125,121,118,127,136,109,171,182,178,177,176,175,195,196,195,196,195,197,182,144,90,77,164,145,119,132,152,155,125,131,130,126,141,102,140,189,178,178,177,176,196,197,197,197,195,195,163,128,115,107,103,117,103,98,102,134,130,125,124,124,120,106,108,186,180,179,178,178,198,198,198,197,195,193,174,165,144,120,94,89,103,97,96,98,121,125,117,111,121,122,93,169,184,180,178,177,198,198,198,197,197,194,179,167,140,113,94,96,99,103,116,105,92,87,114,136,144,131,94,139,189,179,178,176,198,198,199,198,198,195,186,159,129,106,93,94,103,120,120,119,114,118,134,156,148,135,112,111,188,179,179,177,198,199,200,199,197,197,178,153,130,105,94,102,112,122,131,129,146,167,158,139,167,157,130,96,173,183,180,179,199,200,200,200,197,196,186,168,142,115,101,104,110,132,143,145,156,168,176,164,157,156,131,88,159,187,180,179,200,200,200,200,200,195,186,169,147,120,99,102,119,136,147,159,163,174,172,164,152,133,119,86,165,186,180,179,200,200,200,200,201,193,184,176,157,131,108,104,110,135,154,165,174,178,170,153,143,125,96,102,187,183,181,179,200,200,200,200,201,190,179,180,164,141,122,107,105,139,164,172,182,179,165,147,134,117,80,146,190,181,181,180,200,200,200,200,200,189,175,178,165,144,128,114,108,138,172,176,179,171,156,140,126,103,93,185,185,183,182,181,200,200,201,201,202,188,173,171,164,150,132,119,116,142,176,171,169,162,146,130,119,86,137,195,183,184,182,180,200,201,203,202,203,189,171,170,170,156,135,129,122,146,171,167,162,151,136,123,107,89,179,189,185,183,182,181,201,202,202,202,202,195,174,172,171,160,141,135,122,148,165,162,158,142,124,115,83,127,197,186,187,184,183,182,202,203,202,202,203,202,181,175,177,163,148,135,120,142,162,156,149,131,115,98,87,182,191,188,188,184,184,183,202,203,202,203,203,202,186,184,178,162,151,139,123,131,150,144,132,116,105,76,152,198,188,188,187,186,184,182,203,203,203,203,204,201,192,186,175,163,153,141,128,126,136,132,117,107,79,118,198,189,189,187,187,186,184,183,203,203,203,203,204,201,192,186,172,161,151,141,135,127,127,125,112,93,84,185,193,190,189,188,186,186,185,183,203,203,203,203,205,197,191,182,173,166,161,153,147,133,122,120,106,79,133,201,191,192,189,188,187,186,184,183
7,186,185,186,186,186,185,185,185,184,183,182,180,179,178,176,175,175,173,171,168,166,165,162,161,159,156,153,151,187,187,187,187,187,188,187,187,186,185,185,184,183,181,180,179,177,177,175,171,170,169,167,165,162,159,155,154,188,189,188,189,191,189,190,190,188,189,188,187,186,184,183,180,179,179,177,174,172,170,169,167,163,163,159,157,190,191,191,190,193,192,192,193,191,190,190,190,187,186,184,181,183,181,181,182,178,176,174,168,167,165,161,160,193,193,194,194,194,194,195,195,194,192,189,189,189,191,190,190,186,179,171,160,159,155,167,175,170,168,164,162,195,195,194,194,195,194,194,195,194,196,197,197,190,175,163,145,141,137,111,103,161,153,125,174,172,171,168,165,196,196,196,196,197,198,201,203,198,187,172,153,135,123,94,108,110,96,94,94,124,107,120,187,176,172,169,166,196,197,198,199,200,190,173,154,145,132,120,110,113,104,83,85,78,63,71,51,40,81,119,119,160,176,171,169,198,198,201,191,155,123,111,113,117,123,120,112,99,72,76,69,66,71,72,67,66,55,42,69,90,175,173,170,200,204,188,155,141,108,93,107,94,87,82,80,84,94,111,101,61,77,86,60,56,38,31,57,60,169,178,172,201,178,156,157,143,104,80,68,65,78,96,116,125,119,105,85,41,47,46,20,22,24,34,60,126,182,176,174,165,148,154,153,139,129,116,119,121,129,133,116,109,96,83,48,21,31,63,96,129,153,175,188,188,180,178,175,145,149,153,147,144,139,119,107,96,97,93,72,66,62,56,72,114,163,195,203,201,195,189,186,183,181,179,176,150,156,150,150,151,128,81,42,55,53,35,20,8,57,186,207,208,205,196,193,191,189,188,188,186,181,178,176,158,156,153,147,122,101,45,19,28,10,0,0,0,0,64,206,196,198,198,196,195,192,189,188,187,183,178,175,155,157,147,117,108,90,55,43,17,2,3,0,3,0,51,199,200,196,196,195,193,188,188,187,184,180,182,186,158,154,133,115,104,100,107,104,41,5,9,11,0,60,199,200,200,197,195,194,192,187,185,182,182,188,167,116,159,146,117,101,95,100,113,89,22,4,0,0,35,205,205,201,201,198,196,195,192,189,191,195,181,142,47,4,147,113,83,84,81,81,83,41,9,0,0,0,24,211,199,202,197,195,195,193,200,196,164,113,55,12,5,0,113,93,90,94,85,69,56,37,27,5,8,0,85,211,198,202,210,208,206,204,136,66,30,7,1,3,6,0,99,102,100,95,68,37,39,61,48,8,0,88,219,211,212,196,142,125,124,79,23,14,1,2,3,3,5,0,102,91,71,46,30,34,55,66,27,0,41,132,134,118,101,48,3,5,0,3,0,9,6,0,0,2,5,0,79,53,44,44,45,45,39,17,9,53,67,47,31,27,27,0,0,6,0,2,0,0,0,0,0,0,3,0,66,60,63,56,40,26,18,25,70,92,63,39,27,18,7,8,0,0,0,0,0,0,0,0,0,0,0,0,50,46,42,34,23,26,54,80,79,56,33,16,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,29,38,43,57,73,79,77,62,13,2,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,79,82,89,81,74,74,64,22,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,79,81,78,82,75,73,65,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
23,144,147,149,152,155,157,159,161,162,163,163,162,162,163,162,161,161,160,160,158,157,156,157,156,155,157,170,179,147,150,153,156,158,162,164,164,166,166,167,166,166,167,167,165,166,164,161,161,160,160,159,158,157,159,145,142,149,154,157,160,162,166,168,169,170,171,172,171,170,168,167,168,164,167,170,164,163,164,164,162,161,162,151,102,153,157,161,163,166,170,172,174,174,175,176,175,174,183,196,197,171,141,157,167,170,167,167,164,164,163,166,135,156,159,164,167,170,172,176,177,179,179,181,203,203,209,216,202,188,172,164,162,157,173,171,169,167,166,165,164,159,162,166,169,172,175,178,181,183,181,192,215,189,167,161,123,135,156,152,125,132,178,173,172,170,170,169,167,160,164,168,171,174,179,181,184,185,183,206,202,186,99,113,153,168,151,133,136,172,180,177,175,174,173,172,170,162,167,170,173,177,180,183,186,187,189,214,201,182,137,165,170,196,190,190,190,185,182,182,181,178,176,174,173,165,168,171,176,179,182,185,188,189,196,209,196,204,214,183,98,174,196,187,185,186,185,185,184,182,179,178,176,166,170,173,178,180,184,187,191,190,202,210,214,223,210,176,101,160,192,196,194,190,188,189,188,186,184,181,184,167,172,175,179,183,186,188,192,190,209,222,220,199,194,156,155,209,146,148,176,190,197,190,190,190,186,191,150,170,174,177,180,185,188,189,192,204,214,211,188,168,184,168,176,202,149,89,82,105,173,198,192,191,192,182,80,172,176,179,182,186,188,194,209,213,201,189,192,198,205,201,161,157,144,93,81,78,119,204,192,190,201,136,70,172,177,181,184,186,201,208,206,205,206,213,217,211,199,184,149,94,133,106,92,86,121,204,197,205,199,93,74,174,178,183,186,188,208,198,196,192,189,199,196,182,169,160,134,77,75,95,94,83,135,215,180,158,118,77,75,175,180,184,186,193,217,203,183,179,184,186,186,182,176,167,132,84,56,85,102,96,105,117,85,62,62,73,73,177,181,184,187,194,211,201,187,188,195,199,196,177,164,152,115,86,67,105,122,109,64,49,70,67,68,70,70,178,181,184,189,191,199,202,200,200,191,192,155,133,138,130,109,85,65,86,119,109,71,53,54,54,70,67,65,178,182,186,190,193,197,201,199,192,176,153,118,77,93,132,111,78,75,94,107,96,62,62,57,52,57,63,58,179,184,187,192,194,194,194,203,203,162,123,100,71,98,144,104,67,83,98,103,81,60,56,58,60,54,55,57,179,183,187,191,194,192,187,210,197,125,98,68,76,107,98,73,82,96,95,95,69,63,62,50,51,59,57,59,180,183,187,191,194,189,185,204,177,126,104,77,57,58,63,82,97,106,105,83,53,61,65,55,43,49,51,63,180,184,188,191,195,185,187,205,177,131,110,83,60,69,92,104,111,111,104,75,46,50,63,63,48,43,48,52,179,184,188,191,194,182,195,209,183,137,115,92,76,78,106,111,113,109,95,65,48,50,55,64,55,41,47,44,185,189,192,196,200,188,192,203,181,146,119,103,85,79,96,112,113,109,82,49,51,50,52,55,62,47,41,46,155,160,164,169,176,170,192,197,179,146,120,112,92,86,85,109,115,107,64,42,52,46,47,51,54,55,38,40,108,110,111,114,109,125,191,189,170,138,122,124,94,89,90,103,112,79,57,52,49,46,41,48,49,52,44,35,118,119,119,122,110,113,192,178,154,128,134,128,94,92,91,102,77,44,58,55,54,49,39,41,47,48,47,33
1,168,174,181,185,190,194,197,200,203,203,205,209,210,211,209,211,209,211,209,208,207,208,208,204,202,201,199,199,170,177,183,188,193,196,200,203,205,207,210,212,212,212,216,214,215,185,194,212,208,208,208,206,204,203,203,201,171,179,186,191,194,197,202,204,208,212,213,212,214,218,183,200,234,151,126,230,208,209,209,207,205,204,203,203,174,179,188,193,196,200,203,207,211,214,215,214,215,237,134,159,241,146,112,198,207,213,211,210,209,208,204,204,178,183,190,195,199,204,206,211,213,214,217,216,230,236,121,172,231,128,118,143,143,225,210,211,211,211,208,206,179,185,191,197,201,206,210,212,214,217,220,212,183,210,111,190,227,115,154,175,106,222,213,213,213,212,210,209,181,187,194,198,202,207,212,212,216,217,229,210,104,174,125,204,241,133,170,178,96,215,218,216,215,213,211,211,183,190,196,201,205,208,212,214,221,219,239,188,87,169,136,198,221,128,181,181,91,212,223,219,217,216,215,213,183,191,197,203,206,210,213,217,222,220,240,167,75,146,114,170,202,114,200,197,101,213,225,220,220,217,215,214,185,192,198,204,208,212,216,220,221,226,244,155,81,167,113,191,205,114,207,187,102,211,225,221,221,219,218,218,186,195,201,205,210,214,219,222,222,235,237,141,90,195,106,199,202,109,220,183,103,215,226,224,224,221,220,218,189,195,203,206,211,216,220,224,223,242,243,145,69,143,68,176,151,108,234,186,112,221,228,225,223,223,222,219,189,197,203,208,213,217,221,226,222,250,234,148,120,140,124,176,180,146,184,181,110,225,229,228,227,224,224,222,189,198,205,209,214,219,222,226,228,255,228,175,144,211,223,228,232,195,116,144,116,229,229,230,229,226,224,224,190,199,206,210,215,220,223,224,243,255,197,153,110,127,195,186,227,240,164,80,104,237,230,230,230,229,227,226,192,200,207,211,217,221,224,222,255,249,190,133,110,93,123,118,228,255,219,103,97,243,230,230,230,229,228,227,192,201,208,212,217,221,225,224,255,243,176,130,126,122,145,196,212,241,221,138,116,244,231,232,231,231,229,228,193,202,208,212,219,223,225,230,255,233,180,133,139,134,183,250,231,207,166,133,89,218,240,233,232,232,231,230,191,200,207,212,218,223,225,233,255,235,191,152,148,156,226,255,222,190,142,99,81,222,241,235,234,233,231,230,192,200,206,211,215,221,223,232,255,236,185,156,152,168,248,255,215,173,130,81,79,235,236,233,233,232,231,230,193,201,207,212,217,222,225,232,255,238,192,179,153,164,251,255,204,159,121,68,105,246,235,235,233,233,231,230,193,201,209,214,217,223,227,229,255,243,208,206,162,154,255,239,191,140,104,61,193,246,236,236,236,235,232,231,194,202,207,213,218,223,228,229,254,249,216,211,161,164,249,217,182,129,77,95,246,237,238,237,237,234,232,231,193,200,206,212,218,221,227,228,255,254,217,199,146,172,229,186,164,114,55,156,251,235,236,235,232,231,230,229,194,203,210,218,226,228,235,230,255,244,211,178,140,177,196,166,144,96,71,227,252,245,245,244,241,241,238,237,154,158,160,162,166,172,165,195,255,235,211,178,155,183,177,162,131,80,87,177,175,176,177,179,179,179,178,175,114,110,109,111,109,113,100,218,255,236,222,180,179,175,152,142,101,67,90,97,96,96,96,97,92,91,89,87,125,124,125,127,127,123,137,255,239,210,208,193,175,146,133,117,72,80,116,113,112,110,110,110,110,107,108,110
18,36,39,42,45,50,57,60,67,73,81,87,91,96,99,101,103,106,110,111,114,116,119,122,123,125,126,126,129,35,39,43,47,52,58,60,66,74,82,88,93,98,99,101,103,108,111,112,115,117,119,121,123,125,126,128,130,36,39,44,47,51,58,61,67,75,82,88,94,98,100,102,104,109,112,113,116,120,121,123,124,126,127,130,132,38,40,44,47,52,58,62,68,77,83,89,95,100,102,103,105,108,112,116,119,120,124,126,126,126,128,131,133,38,40,44,48,54,59,62,69,77,86,92,96,100,102,106,105,115,112,100,114,124,120,118,131,131,130,131,133,38,40,44,48,55,60,63,70,77,86,94,94,102,109,97,109,151,102,71,62,127,131,90,79,132,133,133,135,38,41,45,47,54,60,65,74,80,88,93,90,155,119,69,116,140,106,100,104,152,130,88,51,65,136,134,135,39,42,45,47,55,61,64,74,76,91,86,126,179,119,80,132,135,111,122,129,129,100,93,84,36,100,144,135,40,43,45,48,56,63,68,68,95,142,88,96,162,118,109,104,116,103,110,113,93,84,102,94,65,60,146,137,41,44,46,50,57,61,68,61,159,161,112,71,124,143,112,78,78,96,74,81,57,103,109,100,90,45,102,152,41,44,47,50,57,63,60,82,181,158,136,104,81,153,115,80,60,127,73,32,48,134,115,117,107,73,46,128,41,44,46,50,57,64,54,113,147,149,153,125,60,105,127,85,41,113,109,57,11,100,120,132,120,86,56,55,42,44,47,53,58,66,54,125,111,105,140,101,55,54,102,70,35,61,79,37,24,101,140,149,124,91,69,47,43,44,46,53,57,65,53,146,140,99,114,56,44,26,55,49,19,23,21,61,148,153,132,132,115,90,74,59,42,45,47,51,59,62,57,159,145,115,118,48,38,14,43,47,9,0,73,165,159,141,133,111,94,79,71,51,42,45,47,51,60,59,77,174,140,108,97,58,34,3,40,37,3,57,169,172,161,141,119,98,73,64,57,58,42,44,46,51,58,59,72,192,161,134,119,90,57,44,45,41,69,157,176,172,159,128,109,86,63,57,44,95,43,44,48,53,58,60,69,189,172,150,135,108,88,93,84,91,149,174,173,166,142,114,96,77,59,50,48,134,42,45,48,53,59,63,68,189,181,158,134,111,100,106,103,129,166,167,165,149,124,104,85,69,58,41,74,155,42,45,47,52,59,65,65,183,180,158,136,121,118,113,119,146,162,166,151,128,115,94,76,67,60,37,113,155,43,46,48,53,59,66,62,164,181,162,145,135,129,126,134,148,152,154,130,109,100,83,68,61,51,55,148,150,43,46,48,55,61,67,62,136,184,166,163,148,133,126,131,135,134,131,115,98,86,72,61,59,40,102,156,146,43,46,49,57,62,67,67,105,181,172,176,159,139,122,110,111,114,110,106,86,73,64,58,48,51,145,149,149,43,46,50,57,60,66,75,77,165,172,165,158,139,117,102,97,102,100,98,81,64,61,60,34,94,155,147,151,43,45,49,56,61,65,79,76,125,170,142,139,130,112,97,94,98,102,100,84,68,62,51,37,134,150,149,153,43,46,50,56,62,64,75,83,92,157,142,123,111,95,94,101,85,92,96,83,65,60,40,60,151,146,149,152,42,46,51,57,60,66,77,89,86,135,127,106,110,100,112,116,86,82,95,83,64,59,32,79,157,146,149,152,40,44,50,56,59,66,76,87,87,118,137,116,124,111,108,111,91,73,88,83,64,54,29,70,157,148,151,152
3,168,171,174,176,178,180,182,183,183,183,184,183,182,182,181,181,179,178,179,176,175,175,173,171,170,168,166,164,171,174,176,178,181,183,184,185,186,186,186,185,184,184,183,182,189,179,161,180,176,176,175,174,171,170,168,167,172,176,179,181,184,186,187,187,188,188,188,188,187,186,186,181,204,182,114,174,181,178,177,176,174,172,170,168,174,177,181,183,185,187,189,189,190,190,189,189,189,189,188,184,203,181,109,157,187,180,179,178,176,174,172,170,177,180,183,185,187,189,191,192,192,191,191,191,191,191,191,186,201,183,113,153,190,181,182,181,178,175,174,172,178,181,184,187,189,191,192,195,195,193,193,193,194,192,191,187,203,208,132,143,191,184,184,181,180,177,175,173,179,183,186,187,191,193,195,196,197,196,196,195,196,195,194,189,207,216,135,128,191,186,184,183,181,179,177,175,181,184,188,191,194,196,197,198,198,198,199,198,198,197,197,192,209,209,129,122,191,186,187,185,183,180,178,176,183,186,190,193,196,198,199,200,200,200,200,199,199,199,199,192,217,216,137,123,193,189,188,187,184,181,180,177,185,189,192,196,198,200,201,202,202,203,202,202,200,199,198,195,191,185,135,119,192,191,190,189,186,183,181,179,187,192,195,197,199,202,203,205,205,205,205,204,202,199,210,215,145,109,99,114,199,191,192,190,188,185,182,181,189,193,197,199,202,204,206,206,207,207,206,208,215,200,157,167,193,145,83,137,209,197,193,191,190,187,184,182,191,196,199,201,204,206,209,209,210,207,211,180,197,201,134,107,217,154,117,119,152,172,195,192,190,189,185,183,192,198,201,204,206,208,210,212,211,216,223,168,123,184,166,118,177,157,135,117,142,121,169,200,190,189,188,184,195,199,203,205,207,210,211,212,214,234,219,198,143,154,179,114,134,173,158,134,148,105,151,204,192,191,188,186,197,201,205,207,209,211,214,211,228,219,212,209,152,127,164,112,131,141,116,135,128,94,146,207,194,193,189,187,198,203,206,209,211,212,215,213,240,226,188,194,155,109,144,110,134,187,104,148,158,99,136,209,195,195,192,190,199,204,207,211,212,214,217,217,225,208,173,181,133,95,142,94,131,222,118,128,171,103,111,206,197,196,193,190,200,205,209,211,213,216,218,218,223,230,207,178,128,116,137,110,107,169,125,131,145,98,106,204,199,198,195,193,201,206,209,211,215,217,219,219,231,235,221,180,132,117,148,134,170,206,169,152,118,84,152,212,199,200,197,196,200,207,210,212,216,217,220,219,228,239,229,186,147,127,132,189,213,189,149,130,112,92,201,206,202,200,198,197,199,205,210,213,216,217,219,220,224,237,223,183,179,136,158,227,199,160,138,125,102,134,216,201,202,200,198,196,200,207,212,213,217,219,221,221,226,229,217,195,184,152,153,193,182,149,134,114,94,188,211,204,203,200,197,194,201,208,212,215,218,221,221,232,139,186,221,197,182,158,131,152,148,131,115,95,160,218,207,205,202,201,203,204,201,207,211,215,217,219,224,215,83,98,188,194,182,139,113,112,117,117,96,156,219,209,213,215,215,207,179,133,205,212,216,219,222,222,236,158,83,85,93,136,144,104,102,99,103,88,83,215,222,218,196,163,149,118,79,63,161,163,166,168,168,168,167,106,89,86,78,74,82,102,100,83,80,60,28,102,143,111,75,54,49,48,55,61,130,131,132,132,131,132,112,90,97,80,79,75,73,60,53,52,48,43,36,48,55,46,50,51,57,56,47,53
7,97,117,129,135,141,145,148,148,150,152,155,156,157,157,158,159,160,159,159,158,157,157,155,154,154,152,151,149,99,119,130,136,142,145,148,150,151,154,157,157,158,158,159,159,161,161,160,159,159,158,157,155,155,153,152,151,101,121,131,138,142,147,149,151,153,155,157,158,159,160,161,162,162,162,162,161,160,159,158,157,156,155,154,153,102,121,131,139,144,147,150,152,155,157,157,158,160,162,163,163,163,163,162,162,162,160,160,160,159,157,156,154,102,122,131,139,145,148,151,153,155,158,158,159,161,163,163,163,163,163,163,163,163,163,163,162,159,158,157,155,103,123,132,140,145,149,152,153,155,157,159,160,163,165,167,167,168,169,167,166,164,160,157,156,160,160,158,156,103,123,132,140,145,149,152,156,158,161,163,162,162,158,152,145,134,132,129,132,120,111,135,138,132,161,158,158,104,124,133,141,145,149,152,144,137,132,131,130,124,112,108,112,89,98,101,96,97,98,133,130,110,164,162,159,106,125,134,141,146,152,139,111,105,111,112,117,115,106,99,91,88,89,91,88,92,88,88,83,106,143,155,162,107,126,132,141,151,148,130,100,92,98,96,97,99,100,102,105,105,90,95,104,97,93,89,83,88,109,109,154,108,125,136,145,145,134,123,104,90,88,97,106,114,116,115,111,102,80,86,103,91,82,81,73,80,101,87,145,107,136,144,141,134,130,127,118,114,115,120,124,114,112,108,103,85,74,74,75,70,67,68,69,73,85,116,163,137,146,140,138,138,135,120,99,90,95,104,103,97,93,82,72,69,84,99,116,130,142,149,153,159,162,167,164,153,144,143,142,137,121,111,77,71,85,82,71,63,79,124,142,156,165,175,179,177,176,174,172,171,167,165,164,148,145,144,134,117,113,99,72,68,63,52,42,47,58,81,94,167,176,170,171,170,170,169,169,168,167,166,164,147,148,137,122,113,107,101,94,77,58,56,60,59,54,47,29,110,183,170,173,172,172,171,170,170,168,166,165,148,139,121,112,107,104,115,118,91,61,60,63,62,60,61,45,114,185,172,173,172,173,172,171,171,168,167,165,135,119,105,104,103,101,105,102,72,55,54,50,54,55,56,38,81,181,173,174,174,174,172,171,170,170,169,165,114,107,103,102,97,88,90,79,60,48,39,45,58,60,57,44,106,178,173,175,174,174,172,171,170,169,168,166,109,106,104,99,90,76,70,72,69,56,55,66,68,61,44,119,184,174,174,175,174,173,172,171,171,170,168,166,103,94,87,81,76,72,78,88,82,65,58,53,54,57,107,174,173,173,173,173,173,172,171,170,169,168,167,165,95,87,85,83,81,81,84,88,73,51,67,103,130,159,176,171,171,172,172,171,171,171,170,170,169,167,165,164,92,89,89,85,78,74,70,62,58,99,156,174,175,172,170,171,172,172,172,171,171,171,170,170,169,169,166,164,72,76,73,70,66,63,74,106,141,169,168,166,167,169,170,171,172,172,171,171,171,171,170,169,168,168,165,164,45,19,70,110,111,128,148,160,161,160,163,165,168,169,169,170,170,170,170,171,171,170,170,170,168,166,164,163,36,0,100,157,152,158,158,157,160,164,167,169,170,171,173,173,172,171,172,171,169,168,169,167,164,163,164,163,14,2,108,132,122,123,122,122,121,122,120,117,116,118,118,117,114,111,112,110,107,105,103,101,98,95,76,68,0,16,80,85,84,87,86,86,88,87,85,86,86,87,87,85,84,84,83,83,83,82,81,79,78,52,18,16
15,166,167,160,111,176,134,47,106,115,115,117,121,125,131,146,158,168,175,178,181,187,192,197,201,205,208,210,212,171,172,158,114,183,125,48,110,115,116,119,123,126,132,148,160,170,176,179,182,189,194,199,203,207,210,212,214,175,177,154,119,191,116,52,115,114,116,120,124,127,133,150,162,173,178,181,185,191,196,202,207,209,211,214,216,178,183,150,126,198,105,56,117,114,117,121,125,127,135,152,162,173,181,183,186,192,197,203,208,211,212,216,217,180,187,144,135,201,94,63,119,115,118,122,126,127,136,153,164,174,182,185,188,194,200,206,209,212,215,217,220,183,192,137,145,201,86,72,122,116,121,123,127,128,136,153,166,177,183,186,190,197,203,207,210,214,218,220,222,186,195,132,155,198,68,71,115,111,113,118,124,127,138,154,168,178,185,187,192,199,204,209,212,216,219,222,223,189,199,130,182,201,140,137,159,150,147,142,135,131,139,154,167,178,188,189,192,200,204,209,214,216,220,222,224,193,195,148,217,183,182,179,204,190,188,189,194,177,162,151,164,174,176,179,197,200,204,211,214,218,222,224,225,193,195,132,179,136,142,142,174,156,151,186,202,179,156,162,192,200,179,149,147,206,207,211,216,220,223,225,227,196,196,122,190,152,88,114,140,135,130,168,186,164,140,177,204,194,192,201,132,148,213,214,217,222,225,227,229,201,192,121,210,169,44,110,121,119,123,126,152,152,174,217,194,180,208,211,188,130,136,220,220,222,226,228,231,206,188,123,217,155,47,118,123,121,119,130,168,171,174,211,175,172,204,191,205,163,113,136,224,227,224,230,233,209,183,129,225,145,46,121,122,120,119,210,196,146,134,143,138,177,187,188,186,166,146,103,131,218,233,230,234,216,177,135,232,133,50,125,122,117,129,219,209,162,125,89,97,180,203,192,149,139,137,125,101,114,214,238,234,223,172,146,236,122,53,127,121,120,108,183,229,195,178,157,163,175,177,166,124,113,121,116,115,99,116,232,237,229,164,157,236,110,58,131,119,119,160,207,211,206,178,159,161,154,151,158,133,112,117,113,109,108,90,154,251,231,157,168,234,100,65,134,110,188,212,195,174,193,164,121,138,135,133,136,121,112,118,115,111,108,107,98,188,233,150,176,233,90,70,134,113,199,177,153,141,158,131,109,113,110,109,110,112,119,133,131,111,105,110,107,106,233,144,188,230,79,76,135,117,139,134,113,136,134,110,105,121,107,96,127,131,140,151,136,105,103,110,111,107,235,140,199,226,71,83,133,120,118,120,119,153,203,165,131,129,126,111,120,132,140,139,123,104,105,112,115,113,234,138,212,222,64,89,132,120,120,122,124,123,143,146,116,97,138,160,101,109,138,131,115,110,111,119,115,112,234,135,227,221,56,95,132,119,119,121,122,125,129,145,159,170,182,162,142,136,124,117,113,116,120,119,115,113,231,135,237,214,50,101,132,118,118,119,121,123,131,151,169,181,196,183,102,124,148,150,139,130,113,100,93,90,224,138,247,204,46,108,131,119,118,119,120,121,130,150,165,177,198,156,93,89,161,137,96,75,60,54,54,44,217,140,253,194,43,112,127,116,116,117,118,120,130,148,165,179,198,133,106,107,60,67,68,56,52,49,45,40,207,148,255,181,42,117,125,114,114,115,118,118,127,148,165,182,187,119,100,106,84,45,75,60,53,49,45,40,200,159,255,170,42,121,124,114,113,113,116,117,126,146,163,184,168,105,103,100,99,37,59,60,48,43,45,40
0,186,184,185,185,187,186,185,187,186,187,190,191,186,188,188,188,189,186,187,189,186,186,186,189,188,185,185,185,187,186,187,186,188,189,189,190,189,190,191,191,192,189,186,187,188,185,189,190,186,189,189,189,189,187,187,186,186,188,189,188,188,191,190,188,192,194,189,191,195,192,188,189,190,188,190,189,188,190,189,189,189,187,186,186,190,190,190,190,192,192,189,189,181,170,191,188,186,192,191,183,184,197,195,194,195,189,187,190,191,189,188,188,191,189,191,192,193,192,187,203,180,95,82,149,146,124,159,170,144,125,179,177,176,195,195,189,191,191,189,189,191,191,191,193,192,194,191,197,189,89,0,103,154,68,51,157,135,46,47,124,85,82,137,196,191,190,189,190,193,192,192,192,188,191,185,150,180,111,30,68,136,58,14,124,102,33,15,113,78,15,29,119,201,189,191,191,194,193,194,194,188,184,170,121,140,155,70,21,106,58,3,104,94,14,23,121,72,8,44,72,129,208,188,192,194,194,195,195,190,184,169,131,92,120,76,0,87,53,0,89,119,21,21,131,92,16,61,116,48,159,202,189,196,194,195,195,194,184,163,127,81,63,38,14,80,34,0,103,112,5,44,144,118,88,79,88,49,62,211,189,195,196,197,197,193,182,171,152,115,57,38,32,46,22,0,77,73,56,136,138,123,106,73,42,23,57,206,190,197,198,199,199,194,188,178,166,147,99,42,28,20,44,58,61,106,152,157,147,127,90,69,47,8,88,212,191,198,198,199,202,195,190,186,171,161,141,78,31,33,53,61,109,163,167,165,155,129,83,57,45,4,125,214,193,199,199,200,201,195,190,197,181,175,164,119,72,72,57,81,145,165,177,183,159,120,79,52,37,13,177,207,196,199,201,200,201,197,175,202,195,189,180,152,121,112,84,91,143,159,179,189,159,111,72,52,19,68,212,198,199,200,202,202,201,203,166,190,204,201,188,167,146,134,119,105,136,166,182,174,150,97,63,54,17,150,210,199,199,202,202,201,201,210,169,170,205,207,194,178,159,145,133,123,121,153,180,163,137,85,59,39,40,201,201,200,200,202,202,201,202,207,188,145,194,206,205,187,172,158,145,123,115,132,157,145,111,75,57,16,85,218,199,200,202,203,202,202,202,203,208,146,169,206,208,186,164,158,144,124,114,123,139,126,86,61,50,9,164,210,200,203,202,202,202,204,205,201,210,176,149,207,203,170,154,157,137,130,115,102,115,111,70,53,12,79,213,202,200,204,203,203,203,205,207,203,207,193,163,202,203,176,169,175,147,134,110,87,90,98,68,32,29,186,207,203,204,206,205,203,204,206,207,205,208,199,171,206,210,188,176,189,155,130,109,82,74,85,66,11,133,216,204,207,207,208,208,203,204,206,207,205,208,200,157,202,209,197,182,182,150,126,104,86,69,80,51,23,188,210,207,209,207,207,207,203,202,204,204,205,210,200,151,200,207,198,180,169,147,121,104,90,65,73,39,47,205,200,210,209,208,208,208,203,201,201,202,205,209,197,170,199,208,197,181,164,146,126,102,91,66,64,27,71,224,202,208,208,209,209,209,203,203,202,204,204,207,187,186,200,194,193,175,162,144,126,102,89,63,56,22,95,225,202,206,207,208,208,209,205,205,203,205,206,207,184,181,194,190,191,164,152,140,126,101,81,53,48,18,124,211,201,206,206,206,207,207,205,204,202,205,208,208,180,175,190,195,191,161,138,131,123,101,76,46,41,16,157,208,203,207,207,207,207,207
23,142,147,150,154,156,157,160,162,164,165,166,167,167,167,169,169,168,168,167,167,167,166,165,165,165,163,162,161,143,148,152,156,158,159,161,163,165,167,168,169,169,170,170,172,170,170,171,170,170,168,168,168,166,165,164,164,145,149,154,157,159,161,163,165,166,169,171,172,172,172,172,173,172,170,172,177,173,169,169,170,170,168,166,165,146,151,156,159,161,163,164,167,169,170,171,173,174,174,173,175,179,168,143,146,171,174,172,172,171,171,168,167,149,153,158,161,164,165,167,169,170,172,173,175,175,175,182,183,184,169,163,134,153,165,173,175,173,172,171,170,151,155,160,163,165,166,170,171,172,175,176,178,178,198,179,176,200,140,146,156,153,105,147,181,174,174,172,171,152,157,161,165,166,169,171,173,175,176,179,176,194,195,162,133,139,81,119,124,104,114,173,179,177,176,175,174,155,160,164,166,168,171,173,175,176,178,180,178,205,184,176,79,116,161,184,181,172,183,182,180,179,179,177,177,157,160,165,167,170,172,174,177,178,180,181,186,207,186,185,99,143,199,180,185,187,181,182,181,180,180,179,178,157,161,165,168,172,173,176,178,181,181,179,189,199,185,183,150,168,182,167,130,167,186,183,183,182,182,181,180,158,162,168,171,173,177,179,180,181,191,187,177,175,177,193,192,195,189,168,89,115,199,183,184,184,182,182,181,159,165,170,172,175,177,180,180,186,208,191,171,158,163,173,163,161,152,138,93,104,201,184,187,187,186,184,182,161,166,170,174,177,179,182,180,192,211,193,165,135,141,183,188,181,166,145,94,89,198,187,189,189,187,187,186,162,166,171,174,177,180,183,181,203,212,196,165,143,140,152,156,163,176,155,94,72,195,191,190,189,188,187,186,162,167,172,175,178,181,183,186,212,214,199,178,177,180,162,134,120,130,121,80,67,189,195,191,192,190,188,187,163,169,174,177,180,183,182,193,217,211,196,178,178,164,177,161,140,126,92,72,60,104,178,202,192,193,190,188,166,170,175,179,181,184,186,207,214,213,200,170,159,129,159,178,145,116,81,63,73,109,103,171,202,193,193,191,166,171,176,180,183,181,196,220,217,210,180,123,112,108,102,136,161,116,68,61,72,101,69,57,185,198,193,193,166,172,177,180,183,183,214,225,213,189,167,135,93,70,61,163,187,100,67,55,70,82,66,43,131,207,192,194,167,173,177,182,180,209,228,219,203,177,165,138,97,69,127,171,149,85,57,62,78,81,64,52,153,204,193,195,168,174,178,180,189,230,225,213,190,175,164,127,90,71,112,113,96,66,47,73,90,78,64,144,205,197,196,196,170,175,180,176,212,233,219,207,188,176,153,123,85,49,54,57,71,67,61,76,75,87,170,210,199,199,199,197,170,175,179,189,232,225,218,198,179,165,145,109,79,57,71,81,88,82,76,60,122,194,208,199,201,200,200,200,171,175,176,225,231,214,203,186,170,155,128,97,76,67,87,95,95,80,68,146,213,207,201,202,201,201,201,201,170,172,194,241,217,202,190,171,156,137,117,93,74,72,91,89,73,59,160,218,205,205,205,203,202,201,202,201,180,173,212,233,211,194,183,166,146,131,112,92,70,71,84,64,71,170,215,206,208,207,205,205,204,202,202,201,56,130,236,216,205,183,160,155,139,117,101,78,63,57,60,103,191,218,208,208,207,207,206,206,205,204,203,203,18,117,216,201,199,168,159,148,104,88,68,45,44,95,157,213,214,206,209,208,208,207,207,207,206,204,203,203
3,108,43,71,99,118,126,136,146,154,159,164,167,170,173,175,177,179,181,184,184,171,189,191,193,196,197,196,198,100,39,77,102,119,128,137,148,155,159,164,168,171,173,175,179,181,183,186,198,137,167,197,194,195,197,197,200,89,41,82,103,121,130,139,150,156,161,165,169,172,174,177,180,183,183,190,209,140,151,202,194,195,197,199,200,78,44,87,106,122,131,141,152,157,162,168,172,173,175,178,180,184,183,194,206,132,154,201,194,196,198,199,201,68,48,89,109,123,132,143,153,157,163,168,171,174,178,179,180,188,186,200,206,131,163,202,196,199,200,201,203,57,54,93,112,124,133,145,154,159,165,170,172,176,180,184,184,173,177,209,191,130,162,203,198,201,202,203,204,47,62,96,114,127,135,146,156,161,166,171,172,175,164,196,220,182,145,195,168,125,164,206,199,202,203,203,204,42,69,98,117,127,137,147,157,161,168,166,199,221,179,155,193,203,136,165,166,113,179,206,202,204,203,205,206,39,74,101,119,128,139,149,158,163,166,174,191,208,217,165,143,200,168,178,155,118,195,204,204,205,206,207,208,41,80,103,121,131,141,152,159,159,187,231,197,138,165,186,123,186,188,180,147,114,199,204,204,205,208,208,209,45,84,105,122,132,141,153,161,159,198,209,197,173,135,180,160,109,110,179,162,128,154,210,204,207,208,209,210,49,88,108,123,133,142,153,160,160,205,185,138,178,165,148,182,110,100,166,198,181,122,185,211,208,209,210,212,56,90,110,125,134,143,154,160,164,213,173,110,122,123,128,131,130,133,139,196,184,125,183,214,208,210,211,212,59,93,112,125,135,144,155,158,168,210,171,160,142,113,128,130,150,144,150,203,179,124,198,212,210,211,212,212,63,96,113,125,136,145,156,157,178,218,192,163,133,118,135,153,169,147,167,223,177,131,210,211,212,213,214,215,70,99,115,127,137,146,156,156,181,220,176,143,122,126,143,169,174,170,198,221,163,138,215,210,211,212,215,216,75,101,116,128,138,148,157,157,183,216,174,147,130,133,150,178,182,210,216,211,153,138,216,210,213,213,215,216,80,102,118,128,138,149,158,156,182,221,188,156,138,134,153,181,207,231,209,186,148,142,219,210,214,216,215,217,83,103,120,129,139,149,158,158,181,223,192,167,143,143,155,195,229,227,206,167,127,160,220,211,215,216,217,217,87,104,121,131,139,149,157,160,179,224,203,175,148,148,160,212,227,219,203,162,111,173,219,211,215,216,216,217,89,106,121,131,140,149,157,162,173,216,201,176,164,155,167,221,227,211,194,154,107,188,217,211,215,218,217,217,92,107,121,130,140,151,156,162,168,200,202,185,181,166,172,215,220,203,187,142,112,205,214,214,215,217,217,218,94,109,122,131,140,151,156,162,166,188,206,195,188,179,167,201,206,187,172,133,129,217,213,214,215,217,217,218,94,110,123,132,140,153,158,163,166,185,210,200,191,175,164,183,190,177,173,117,158,222,212,215,215,217,219,219,95,111,123,132,141,153,158,163,165,189,222,200,185,165,159,173,175,173,168,119,194,216,213,216,216,217,219,219,96,112,123,132,142,153,157,164,165,196,227,197,186,167,163,177,168,174,141,138,217,210,214,215,217,218,219,219,97,113,123,133,142,152,157,165,164,208,227,207,193,171,176,185,167,162,122,171,218,210,214,216,217,218,219,219,97,114,123,132,142,152,156,165,165,214,228,221,188,172,185,184,162,140,116,193,214,213,215,215,217,218,219,219
5,125,131,135,137,143,148,152,156,158,160,161,163,166,167,168,169,170,170,169,169,168,167,167,167,165,164,164,163,126,132,136,138,144,150,154,157,158,169,167,132,168,169,170,170,171,171,171,171,170,169,168,168,166,166,166,165,128,134,137,141,146,152,156,158,157,189,160,122,168,171,171,171,172,172,172,172,171,171,170,170,169,167,167,166,129,135,138,141,147,152,156,158,164,207,126,138,172,172,172,173,173,173,172,172,173,167,170,170,170,169,168,167,130,136,139,141,147,154,158,158,188,206,111,158,173,173,174,175,174,173,175,185,193,132,155,173,171,170,168,167,131,137,138,154,150,149,159,156,208,195,117,168,174,174,175,177,174,181,208,191,155,122,164,175,172,171,169,169,132,138,136,185,158,123,163,160,222,179,122,173,175,176,177,176,187,222,194,131,129,167,175,174,174,173,171,170,132,139,136,192,152,119,164,166,228,163,124,177,177,177,176,188,221,199,141,123,170,179,177,174,174,174,172,172,134,141,139,206,141,126,164,175,226,153,118,178,177,177,188,216,187,134,130,174,182,179,178,177,176,175,174,172,135,142,142,206,150,119,165,180,218,163,112,173,179,181,211,196,126,119,174,183,181,179,179,178,177,177,175,173,135,143,141,196,175,114,163,175,216,164,106,168,183,189,200,154,111,158,187,182,182,182,181,179,180,178,177,176,137,144,143,179,198,121,133,168,208,165,96,148,178,169,151,123,135,183,182,182,185,183,182,180,174,176,179,177,139,144,145,164,205,165,145,136,182,182,123,105,123,127,116,121,172,177,204,209,206,204,196,181,130,148,185,177,140,145,148,155,178,189,180,158,155,170,130,105,105,111,112,141,160,185,178,169,180,195,183,165,135,114,166,182,140,146,149,154,160,168,187,200,204,180,133,102,100,104,122,129,131,146,120,115,189,201,163,137,122,118,163,183,141,146,148,155,163,164,170,207,227,204,147,102,101,101,112,120,113,100,129,180,211,168,122,134,169,181,184,182,143,147,150,156,163,169,171,190,225,216,161,107,98,96,102,109,97,134,194,192,188,128,116,183,190,187,185,184,143,148,151,158,164,170,175,176,213,227,184,124,96,96,94,91,85,139,171,179,184,123,146,194,188,187,187,185,145,149,151,159,165,170,175,176,205,232,201,147,102,91,90,99,112,137,148,172,173,118,165,194,190,188,187,186,143,149,151,159,164,168,174,177,190,237,216,172,117,91,92,101,114,145,162,159,159,116,174,194,190,189,188,186,143,148,150,157,164,169,173,176,187,239,227,193,138,96,93,101,126,158,162,139,130,109,178,193,191,188,187,186,143,148,151,158,165,172,177,178,186,237,230,204,157,108,92,107,139,163,154,122,110,133,193,193,192,189,188,187,145,150,151,159,166,171,176,178,185,231,232,208,175,125,98,100,143,156,146,113,110,184,196,194,192,190,189,188,144,150,152,158,165,172,175,179,183,218,233,211,187,145,112,98,131,147,133,108,124,197,195,194,193,191,189,188,142,148,151,158,165,172,177,182,182,211,227,222,199,169,129,106,110,132,121,105,157,202,197,196,196,193,192,191,135,139,142,146,149,153,156,159,156,202,234,233,209,176,135,114,106,120,110,109,155,163,160,160,160,159,159,154,104,105,105,107,105,104,104,106,97,187,243,232,204,163,130,116,109,110,110,104,97,96,94,95,95,93,93,139,109,109,109,109,110,108,109,111,103,183,237,223,184,137,120,113,110,112,109,103,101,101,100,99,97,106,177,213
15,134,126,109,115,84,78,123,26,26,60,58,61,64,67,69,79,92,102,110,113,117,123,127,131,134,136,138,141,140,127,110,119,79,92,122,16,34,61,59,61,65,68,71,83,94,105,113,115,119,126,130,133,136,139,141,144,145,125,113,123,72,105,117,9,42,62,60,61,65,68,72,85,96,107,114,117,121,127,132,136,139,141,144,146,148,127,118,125,68,120,106,6,49,62,61,62,66,68,74,87,99,109,115,119,124,130,135,138,141,144,146,148,149,127,123,124,68,133,93,6,55,62,61,64,68,69,75,89,101,112,118,120,126,132,137,140,143,147,149,151,148,126,127,119,70,141,79,6,60,60,60,62,64,66,77,91,103,114,119,122,127,134,139,144,147,149,152,154,149,126,130,112,74,149,65,14,67,64,69,75,83,80,76,93,105,117,125,126,132,141,147,148,149,152,155,157,146,130,138,113,98,117,96,91,90,89,97,99,95,86,79,81,87,96,108,117,122,124,128,147,160,156,157,161,141,135,132,101,98,99,94,91,80,83,83,78,76,78,88,86,85,85,85,91,100,95,86,85,111,156,169,164,142,133,112,89,88,84,83,78,77,80,80,80,79,86,94,94,89,86,82,88,102,100,93,81,62,75,133,173,142,132,136,86,92,88,67,71,73,79,81,80,81,91,94,91,88,83,84,96,94,93,93,86,79,66,59,95,139,134,143,76,131,129,14,52,67,64,66,68,72,81,93,98,94,84,91,94,95,93,94,85,81,83,75,59,138,141,141,73,142,115,4,55,66,62,64,66,67,71,86,115,140,112,100,95,93,93,90,90,81,91,88,73,139,144,137,74,153,102,4,60,66,62,64,67,68,73,88,139,135,114,91,93,84,77,81,90,82,100,99,82,143,145,131,79,159,87,5,65,65,62,64,67,70,68,115,146,111,101,58,60,66,45,65,103,92,109,100,85,146,148,123,84,162,72,9,68,64,62,65,67,67,80,147,123,100,87,58,31,33,16,70,129,115,111,88,82,148,151,115,93,166,58,14,70,64,64,64,68,61,128,159,109,91,74,46,28,25,13,90,135,129,113,83,76,148,154,106,102,165,46,21,72,64,63,64,68,63,136,152,121,91,66,28,24,21,27,105,135,141,122,87,72,151,159,99,114,161,34,27,73,63,63,65,68,63,100,158,141,108,73,30,21,50,49,85,133,141,118,87,75,153,163,92,128,161,24,35,73,63,62,64,67,68,76,149,161,130,83,38,15,51,74,96,132,120,99,86,68,154,164,87,141,156,16,42,73,63,62,63,66,68,74,121,175,142,104,78,64,70,115,123,110,88,77,80,65,157,161,82,154,145,9,48,70,61,61,61,63,65,79,99,162,160,146,137,131,137,125,91,76,70,68,69,65,160,157,83,164,132,5,54,68,60,60,60,63,64,79,98,154,143,115,109,118,131,114,73,62,66,56,68,74,162,150,84,173,117,4,60,67,59,58,59,62,66,74,134,153,108,105,105,114,133,114,69,59,57,86,63,55,163,142,90,181,101,0,61,62,56,55,57,61,65,74,149,134,106,99,99,104,120,112,77,57,140,171,57,46,165,134,95,182,91,20,72,67,59,57,57,57,61,74,126,124,105,102,92,84,98,99,74,59,175,179,64,51,168,126,108,171,131,104,103,105,101,98,94,95,97,98,104,112,116,138,140,85,65,123,90,86,159,166,69,56,169,118,117,168,138,87,85,91,91,91,92,96,97,96,90,92,95,97,149,131,73,97,99,94,103,102,67,58
13,130,131,138,143,147,150,153,156,158,160,162,163,165,166,166,167,167,167,167,168,167,167,167,166,166,164,162,164,131,133,138,144,149,151,154,157,159,160,162,164,165,167,167,168,168,167,167,169,169,169,168,167,167,166,164,164,132,133,139,145,149,152,154,158,160,162,164,165,167,168,169,168,169,169,170,171,171,170,169,169,169,167,165,166,132,135,141,145,149,153,156,159,161,163,166,164,167,166,168,172,170,171,171,172,171,171,170,169,169,168,167,167,132,135,141,147,151,154,157,160,162,164,165,167,200,181,133,157,175,170,173,175,172,172,171,171,170,169,168,168,133,135,141,147,152,155,158,160,162,163,163,176,230,209,150,128,179,176,152,153,176,172,173,173,173,170,169,168,134,137,141,148,153,157,159,161,160,173,169,164,224,212,173,126,143,161,133,92,158,178,173,174,173,171,171,170,134,137,142,147,153,158,159,156,178,212,169,139,178,185,158,97,126,123,101,79,125,182,172,174,173,173,173,172,134,137,144,148,153,154,173,159,183,220,181,135,155,174,143,94,136,108,81,76,120,184,173,175,175,174,174,172,135,139,146,150,151,165,216,165,131,201,200,151,121,180,179,165,153,126,78,61,125,185,175,175,175,174,174,173,136,140,146,152,147,192,219,180,133,158,206,162,96,106,174,179,163,165,133,65,140,185,177,176,175,175,174,174,137,139,146,151,152,196,203,193,149,118,194,166,119,44,95,132,159,178,180,118,146,186,177,178,178,177,175,174,135,139,144,147,156,200,185,190,157,104,160,184,129,58,54,76,148,200,201,175,115,167,180,176,176,174,175,174,134,138,144,145,169,218,184,182,171,113,107,188,134,63,58,141,179,178,182,174,118,122,186,176,177,175,174,174,136,139,146,143,203,214,174,158,170,130,73,162,158,111,159,199,184,178,156,138,139,100,170,180,178,177,176,175,136,141,147,143,208,216,185,146,142,166,101,131,197,206,201,183,174,169,144,120,125,102,165,182,178,178,177,176,135,139,146,144,212,220,195,182,159,164,182,198,212,212,188,173,172,148,129,111,97,130,183,178,178,179,178,175,132,138,144,145,215,224,204,193,180,165,188,209,209,204,180,160,152,135,123,94,102,173,180,178,177,177,176,175,136,141,148,145,208,224,210,193,179,167,182,205,205,189,165,143,133,132,109,94,162,188,183,183,181,179,179,179,119,120,126,115,183,224,211,199,182,172,185,203,189,161,148,138,137,120,93,99,131,128,128,126,125,125,123,124,92,92,97,82,136,223,209,200,185,179,183,197,178,148,134,141,131,104,92,89,86,83,83,83,82,82,80,80,99,101,102,97,111,212,203,199,186,174,175,194,180,140,123,126,109,94,94,95,96,93,92,91,91,90,90,89,99,100,102,102,99,196,197,199,192,176,170,191,176,126,112,109,95,93,95,93,93,94,93,91,91,91,90,89,102,102,102,104,93,182,198,203,200,183,165,184,173,124,109,100,92,96,96,93,93,93,94,93,92,92,91,89,103,105,104,106,90,170,206,211,208,192,161,176,177,129,106,92,93,98,95,93,92,93,93,91,91,92,90,89,102,103,104,107,94,147,215,214,209,190,161,168,178,131,102,88,93,98,96,94,93,94,93,91,92,92,90,84,102,103,102,103,100,117,208,204,186,174,160,162,170,131,101,86,94,98,95,95,94,97,93,90,92,93,83,148,102,103,104,104,104,102,199,200,169,168,171,155,161,135,102,85,92,98,96,95,94,98,93,91,92,84,125,207
21,122,130,136,139,143,149,154,158,161,164,166,168,170,171,171,171,172,171,170,170,171,169,169,168,166,165,165,163,124,132,138,141,145,150,156,159,163,166,168,170,171,172,174,174,173,173,172,172,172,171,171,168,167,165,165,165,126,134,140,143,147,153,157,161,165,168,171,172,172,174,173,174,176,175,175,175,173,173,172,171,169,167,166,166,127,136,141,144,147,154,159,164,167,170,172,174,174,189,159,145,178,177,177,177,176,175,174,173,172,170,168,167,128,137,142,144,149,155,161,165,168,171,174,175,176,202,165,114,173,179,179,179,178,177,177,174,173,172,171,169,130,139,144,145,151,158,163,166,170,173,176,177,178,198,180,123,156,181,180,180,180,179,180,167,137,171,173,172,131,140,145,146,153,159,165,168,172,175,178,180,181,191,206,155,141,184,183,182,181,181,186,158,104,161,175,174,133,142,146,149,155,161,167,170,173,177,179,182,184,189,219,171,126,183,185,185,183,184,185,153,104,166,177,176,135,143,148,151,157,164,168,171,175,179,181,184,185,187,218,174,123,173,187,186,186,192,184,145,109,178,179,178,136,144,149,152,159,165,170,174,178,180,182,186,187,187,220,184,134,157,188,188,187,199,179,132,128,182,181,179,137,144,150,153,160,166,171,176,179,182,184,187,188,188,217,200,148,148,190,188,193,192,158,112,156,184,183,181,138,146,151,154,161,167,172,176,180,183,186,188,189,190,207,201,145,140,192,192,204,190,148,100,176,185,183,182,140,149,152,156,162,169,174,178,181,185,187,189,192,192,199,200,132,126,191,194,203,181,133,123,187,186,185,184,141,150,154,158,164,170,176,179,183,186,188,191,191,164,156,202,133,140,177,187,182,152,105,157,189,187,187,186,141,150,156,159,165,172,178,181,184,187,190,195,202,154,125,165,141,138,166,179,175,126,102,185,190,189,188,187,142,151,158,160,167,174,179,183,186,189,191,184,198,158,144,129,146,138,127,157,158,107,145,193,192,191,190,188,143,152,157,161,168,175,180,184,188,191,205,163,154,161,165,156,166,137,85,107,126,92,162,194,194,193,192,190,144,154,158,162,169,176,181,185,189,206,217,185,128,155,163,150,152,130,102,79,81,80,172,196,194,194,193,192,145,155,159,163,170,176,182,186,190,208,216,191,136,124,147,114,122,136,124,97,71,72,178,197,196,196,194,193,146,155,160,165,171,178,184,188,191,218,211,184,145,106,154,147,92,147,144,116,89,69,153,200,198,196,195,194,147,156,161,165,173,179,185,189,192,217,204,187,143,92,152,196,115,144,170,127,103,80,117,202,199,198,197,195,148,158,161,165,173,180,186,191,193,218,227,201,136,124,113,155,112,163,163,132,107,86,110,203,200,199,198,196,149,157,161,166,174,181,187,192,194,215,230,213,160,164,103,136,179,168,157,118,104,78,123,203,201,201,199,197,149,158,163,167,175,182,187,193,196,209,231,205,172,149,125,171,191,155,148,138,97,74,140,204,202,201,200,200,150,159,162,168,176,183,188,194,197,205,228,202,193,157,163,204,184,161,150,143,106,67,167,205,203,202,201,201,149,158,161,167,175,182,188,193,197,201,221,202,192,167,173,200,179,159,136,125,93,75,194,205,203,202,202,201,149,157,160,166,175,182,188,192,196,199,211,203,189,171,143,174,157,134,113,97,71,109,205,205,203,202,202,200,151,158,162,168,176,182,188,192,197,179,176,206,188,161,129,134,134,121,101,83,66,168,207,206,204,202,202,200
8,178,178,178,178,179,178,178,179,179,179,179,178,178,178,178,177,177,177,178,177,176,176,174,173,174,176,162,82,178,179,180,180,180,179,179,180,180,179,177,180,179,179,181,180,179,178,178,178,178,177,176,176,176,175,175,133,180,182,182,181,181,182,181,181,183,185,141,172,185,182,183,182,182,181,181,180,180,178,177,176,177,176,177,114,181,183,183,182,183,182,183,181,186,185,119,168,187,183,183,183,183,182,182,181,181,180,180,178,178,179,171,127,182,183,183,183,183,183,184,181,194,170,107,179,187,184,183,185,184,184,183,183,182,181,182,180,180,179,176,154,184,184,184,185,184,183,184,183,203,155,107,190,186,186,185,187,186,184,185,185,183,182,182,182,181,181,178,179,184,184,186,186,186,187,185,187,206,147,119,193,186,187,188,188,186,186,186,184,184,184,184,183,182,182,180,180,185,186,187,188,187,188,186,195,201,125,138,195,187,192,189,188,191,187,187,187,185,186,183,184,184,182,181,179,187,188,187,187,189,189,185,199,191,121,144,201,172,168,191,183,177,191,191,192,189,186,187,184,185,183,183,183,188,189,189,188,189,189,187,204,188,129,148,219,174,129,168,178,132,151,173,169,181,150,155,191,184,186,185,184,189,189,189,189,190,190,189,205,189,134,182,222,192,144,139,174,148,105,124,138,173,126,115,195,185,187,186,184,189,189,190,189,191,190,193,204,186,144,206,223,203,157,117,168,146,123,161,140,188,128,112,196,186,186,186,186,190,190,190,190,191,189,199,193,181,169,194,220,209,163,108,160,132,153,173,141,191,155,118,192,188,187,187,187,190,190,190,190,191,192,197,172,184,188,168,200,210,167,104,137,133,168,156,139,185,175,136,160,196,188,188,187,189,190,190,190,190,196,196,151,180,177,164,183,212,174,105,106,138,172,145,114,180,176,131,120,199,187,189,188,189,189,190,190,188,200,197,141,149,163,146,162,207,169,99,91,134,165,129,109,183,163,108,143,198,189,189,188,189,189,190,191,189,206,209,141,129,134,129,129,189,177,108,83,138,178,118,132,175,130,102,186,190,188,188,188,190,190,190,190,193,212,214,156,118,131,124,126,166,187,138,68,132,149,117,157,136,95,137,198,187,189,188,188,190,190,191,190,195,213,213,174,114,121,124,120,154,163,112,101,170,154,165,166,112,95,185,192,189,189,189,189,190,190,191,191,199,213,213,182,114,123,132,123,172,179,156,183,181,162,151,156,103,112,200,189,192,191,189,189,189,189,190,189,200,213,215,183,118,132,130,147,196,201,203,190,175,163,131,127,93,138,201,189,192,192,190,189,194,196,197,195,200,211,212,176,133,146,129,183,208,204,203,193,176,152,123,98,98,188,195,192,192,191,191,189,142,144,147,143,183,216,210,180,154,150,132,190,211,213,203,188,168,138,111,83,141,203,195,194,188,187,190,192,95,95,97,85,148,221,207,190,160,157,141,181,217,216,189,175,154,121,101,89,115,124,122,133,159,188,197,194,106,105,106,97,130,217,206,189,161,160,144,181,219,202,178,158,135,107,96,89,93,116,148,181,194,194,195,191,105,103,105,97,128,214,195,177,158,155,146,194,208,185,164,136,118,94,95,141,167,194,202,201,202,195,183,184,103,104,108,96,145,210,187,173,161,154,157,189,187,174,146,120,113,79,143,223,206,181,175,179,186,196,192,182,103,102,107,95,164,206,183,172,164,157,163,177,174,164,132,115,107,103,178,183,205,200,177,167,173,175,171,176
8,159,160,161,161,161,162,162,163,163,162,161,161,161,159,159,159,158,157,156,155,155,154,152,151,151,149,147,147,160,161,162,162,162,162,164,165,164,164,164,162,162,161,160,160,159,158,157,156,155,155,155,153,152,150,148,148,162,161,163,164,164,167,167,166,165,165,166,164,164,164,162,162,161,160,159,157,156,156,155,154,153,152,149,148,162,162,163,168,156,128,166,167,166,167,167,166,165,165,164,163,162,162,161,160,158,158,157,156,155,152,150,149,163,165,164,169,143,91,150,172,167,168,167,167,167,166,166,164,163,162,162,161,160,159,158,157,156,154,152,150,165,166,167,167,123,87,150,175,169,169,169,168,167,167,166,166,167,166,164,163,164,160,159,158,156,156,155,153,166,166,169,166,115,87,164,173,171,171,172,170,168,168,167,166,161,153,164,163,153,162,160,159,157,157,155,154,167,168,169,161,104,90,173,172,172,174,165,171,173,171,172,172,139,108,105,151,119,151,164,159,158,157,156,155,168,168,170,166,109,87,169,174,174,151,118,120,169,149,129,139,142,121,84,114,112,130,170,160,160,158,157,156,169,170,172,168,118,83,164,178,163,141,131,103,121,134,105,88,133,133,103,80,111,106,169,162,162,161,158,157,169,171,172,164,116,77,143,183,156,153,144,119,102,135,113,93,133,132,104,71,98,87,131,170,161,161,159,158,169,171,173,168,142,105,117,184,151,153,154,126,95,126,128,99,123,118,88,67,86,104,85,151,166,161,160,159,170,172,173,172,162,124,102,165,143,140,158,130,94,112,136,96,101,119,100,66,79,108,77,133,170,160,160,160,170,173,173,175,164,125,122,136,132,120,154,128,99,92,128,100,88,138,121,77,91,111,79,152,167,161,161,160,171,172,174,176,173,156,151,128,131,112,135,131,94,79,120,109,75,129,119,71,106,105,89,168,165,164,162,161,172,172,174,175,177,168,149,124,108,107,124,129,99,78,92,92,54,63,75,84,118,94,106,175,165,165,162,161,172,173,175,176,178,169,133,113,96,88,101,135,126,94,68,64,93,100,97,132,127,82,127,176,165,165,163,161,172,174,177,176,178,167,146,129,106,97,95,134,137,104,82,103,141,143,131,125,119,72,145,175,166,166,164,163,173,174,176,178,178,176,159,135,106,95,92,124,125,101,89,132,146,143,134,103,94,76,166,169,167,166,165,165,173,176,178,178,178,174,162,137,113,103,95,112,140,138,140,158,148,135,124,98,68,119,178,167,167,166,165,165,175,177,178,178,178,172,165,144,124,108,99,113,161,167,169,162,142,126,116,84,76,170,173,170,168,167,166,165,175,177,179,179,179,170,160,145,125,106,105,121,166,161,157,150,130,117,107,68,128,181,170,171,169,167,166,166,176,177,178,179,180,167,155,149,129,110,111,129,160,154,152,140,122,111,90,78,173,174,173,171,170,168,167,166,176,178,180,179,182,172,158,154,130,116,112,133,153,153,149,131,114,104,69,128,184,171,172,172,171,170,168,166,176,178,179,180,181,180,164,158,138,124,109,129,148,144,138,122,105,85,78,176,178,175,173,173,171,170,168,166,176,178,179,180,181,181,172,160,139,124,111,122,140,132,124,107,92,61,140,185,175,175,173,173,172,170,167,167,176,178,179,180,182,182,174,156,139,122,114,118,130,124,110,98,66,111,188,177,178,176,174,173,172,170,168,167,177,178,179,180,182,182,175,153,138,125,122,118,124,121,106,85,80,178,181,179,178,177,174,173,172,171,169,168
19,79,83,88,93,102,110,116,122,126,129,131,135,138,141,144,146,149,150,152,153,156,158,158,160,161,161,163,163,79,83,88,94,103,110,117,123,127,130,132,135,139,142,145,149,150,151,154,156,157,159,159,163,163,164,165,165,80,85,90,96,105,113,119,125,130,131,134,137,140,143,146,150,152,154,157,158,160,161,162,164,165,166,167,167,81,86,93,97,106,115,121,127,131,133,136,139,143,147,150,153,155,158,158,160,163,164,166,166,168,168,168,168,82,87,93,98,108,116,123,129,133,135,137,141,144,148,151,155,157,159,160,162,164,165,166,167,169,170,175,161,82,88,94,100,109,118,125,130,134,136,139,142,147,150,162,159,139,149,163,164,165,168,169,170,170,183,188,113,83,89,95,101,111,119,127,132,136,137,141,144,148,150,192,165,131,108,158,165,167,169,175,178,185,183,137,100,83,89,95,102,112,120,128,134,137,139,142,147,149,152,182,179,139,122,160,175,171,174,185,181,164,130,107,150,84,91,95,103,113,121,128,135,138,141,147,143,149,156,170,182,173,175,175,172,163,148,159,149,114,116,156,176,85,91,96,104,115,123,130,135,139,165,177,149,142,147,160,167,160,153,145,146,133,117,115,119,146,173,177,178,86,92,96,105,115,124,131,137,140,192,166,150,151,157,166,166,156,143,139,125,126,99,159,175,179,180,181,180,85,92,97,106,116,124,132,137,152,181,148,144,150,164,170,167,163,154,134,99,96,107,180,180,180,182,182,181,87,93,98,107,117,124,132,135,169,176,154,151,156,155,147,141,142,126,109,89,79,132,181,180,182,183,183,183,88,94,99,108,118,126,133,137,206,192,172,168,166,160,157,149,133,93,85,84,79,155,182,183,184,184,185,185,88,94,99,110,120,128,136,141,206,189,169,154,146,150,152,144,122,88,79,86,87,168,183,183,185,186,187,187,88,94,100,111,120,129,138,142,189,180,155,134,114,109,123,123,117,91,81,88,106,181,183,184,185,186,188,188,89,94,100,112,121,130,138,141,180,177,155,112,94,71,68,100,118,94,84,91,105,184,185,185,186,187,188,189,90,94,101,113,123,132,139,140,177,180,154,113,83,50,87,113,117,90,83,84,89,176,185,186,187,189,190,190,90,94,102,114,123,132,140,136,175,181,156,124,99,71,73,81,76,68,75,83,88,170,187,187,188,189,190,190,91,95,103,114,124,133,141,135,178,184,157,131,103,89,78,65,64,73,79,84,90,172,188,189,189,190,191,190,91,95,104,115,125,134,142,136,178,182,157,130,107,96,93,78,70,74,79,85,97,179,188,190,192,192,192,192,92,96,105,117,126,134,142,137,169,175,152,128,105,96,93,81,73,78,83,88,115,187,189,192,192,192,192,192,91,96,106,117,128,135,143,138,167,170,148,121,104,95,91,83,79,83,87,89,149,190,192,193,193,194,194,195,90,96,107,118,128,136,144,142,171,167,143,118,102,93,92,89,86,87,89,107,181,189,192,193,194,195,195,195,91,97,108,118,128,137,143,145,179,167,139,114,99,94,96,92,87,87,115,170,188,191,192,193,194,195,196,196,92,97,109,120,129,138,144,147,176,161,140,119,103,97,96,92,88,107,175,186,189,191,194,195,196,196,196,196,93,98,109,120,130,139,144,157,169,154,137,120,104,92,88,87,84,144,184,189,191,193,194,196,196,197,197,198,92,97,108,120,131,140,144,174,168,151,128,111,96,85,81,84,85,160,186,190,192,193,195,196,196,197,199,199
17,131,134,136,141,145,148,150,154,156,158,159,161,162,163,163,162,162,163,161,156,162,160,161,160,160,159,157,156,132,135,137,142,147,150,153,156,157,160,161,162,163,164,164,165,162,168,169,119,150,165,161,161,161,159,158,157,133,136,138,142,147,151,154,156,159,161,162,164,165,165,167,165,173,167,125,96,139,170,162,162,161,161,160,159,135,138,140,143,148,154,155,157,160,162,164,166,167,168,169,164,181,176,133,77,136,172,163,164,162,162,161,160,136,138,141,145,150,155,156,159,161,163,165,167,169,168,169,166,176,180,156,89,142,172,165,165,164,163,162,161,137,140,142,146,151,155,158,161,163,165,166,168,169,169,170,168,173,191,171,112,151,172,167,166,166,165,164,162,138,140,143,148,152,156,159,161,164,166,167,169,171,171,172,171,176,198,177,127,148,174,168,168,167,166,165,164,139,142,145,149,153,158,160,162,165,167,168,171,171,172,172,171,177,200,179,130,131,177,169,170,167,167,167,166,140,143,145,151,155,158,161,164,166,169,171,172,174,176,174,171,188,203,189,144,114,176,171,172,170,169,168,166,141,144,146,152,156,159,162,166,167,169,172,172,157,160,178,176,197,200,186,149,109,172,173,172,171,171,169,167,143,145,148,152,157,161,164,167,169,171,176,175,148,103,169,188,168,174,180,144,105,168,175,173,172,172,171,169,143,145,149,153,158,161,165,167,168,166,177,169,148,87,115,149,133,168,177,146,100,167,177,174,174,172,172,171,144,146,149,154,158,163,165,170,176,177,179,150,144,132,102,93,137,179,163,149,104,165,179,175,174,173,173,173,145,147,151,156,160,165,165,179,191,181,195,179,175,159,113,84,136,167,156,145,108,156,182,176,174,175,174,173,146,148,151,158,161,166,167,179,190,144,170,188,176,155,140,103,96,130,139,133,102,143,185,176,177,176,175,174,147,149,152,158,162,166,169,173,183,154,104,121,148,162,161,135,93,84,107,114,98,134,187,177,178,177,176,175,147,149,154,159,163,167,171,172,185,169,125,73,101,141,174,154,126,96,84,101,91,141,188,178,179,179,177,176,148,150,154,160,164,169,171,175,195,179,190,106,98,152,184,160,141,120,85,83,78,147,188,179,180,180,178,177,149,150,155,160,165,169,173,173,203,193,156,120,123,207,187,164,146,126,82,70,70,158,188,181,181,180,179,178,150,151,155,162,166,171,175,173,204,189,146,151,180,201,185,151,145,116,80,69,79,181,184,183,182,181,180,179,150,152,156,162,167,171,175,174,204,184,170,167,209,178,176,157,129,113,82,62,127,194,182,183,183,182,182,180,151,152,157,163,168,172,176,177,200,196,171,174,207,180,175,173,134,100,79,69,172,190,184,184,183,182,182,181,151,153,157,164,168,173,177,177,196,202,172,180,199,177,162,159,125,89,72,84,188,186,186,186,184,183,183,182,151,153,157,164,169,173,177,177,191,202,176,168,182,155,143,130,97,83,66,113,197,185,187,186,184,184,183,183,151,154,159,164,169,173,178,179,187,196,165,145,158,146,132,111,89,86,68,164,196,187,188,187,186,184,184,183,150,152,158,163,168,173,177,177,187,191,142,135,150,158,140,113,97,75,102,196,188,189,188,188,187,185,184,183,150,152,158,163,167,178,127,55,159,187,169,169,157,161,149,113,95,71,153,196,188,189,188,187,185,185,184,183,150,152,158,163,172,159,90,51,119,188,173,162,157,156,147,116,86,82,179,191,189,189,188,188,186,185,184,183
4,178,181,183,187,189,192,195,196,196,199,200,200,202,203,204,203,203,203,202,200,202,201,200,200,200,199,197,198,179,182,184,189,190,193,196,197,198,200,202,202,202,206,206,203,204,205,204,201,203,201,200,200,201,201,200,199,180,184,186,189,191,194,196,198,200,201,204,204,204,204,207,208,205,205,207,205,204,203,203,202,203,202,201,198,181,185,188,191,193,196,197,199,203,202,203,205,202,215,201,190,209,210,195,207,207,205,205,205,202,201,201,200,183,187,189,192,195,198,200,201,202,202,205,199,228,235,198,157,204,222,172,165,210,209,207,206,205,203,202,201,183,188,192,193,196,198,201,204,198,238,240,196,209,250,199,162,224,219,184,116,190,191,197,211,206,204,203,202,185,190,192,195,198,199,203,202,210,255,255,219,153,245,205,158,249,224,158,147,216,156,128,201,208,203,205,205,188,191,192,198,200,199,205,197,235,255,255,203,144,237,206,164,238,210,189,216,175,144,95,152,216,204,207,206,188,190,194,199,201,204,205,202,255,230,248,183,127,207,218,220,219,244,255,231,144,106,94,138,219,207,209,207,188,194,197,199,202,206,203,213,255,217,230,198,104,184,200,225,243,255,246,224,182,113,77,154,220,207,209,208,189,194,198,199,203,206,200,247,255,209,201,202,93,168,165,132,196,222,208,227,199,136,78,171,220,209,210,210,189,194,198,201,203,203,211,255,224,187,177,139,94,172,166,96,207,169,187,246,210,155,100,196,217,211,211,211,192,196,200,202,206,199,229,255,212,170,162,143,125,145,142,109,199,130,154,255,231,177,113,202,218,212,212,212,192,196,200,202,208,198,249,255,213,168,145,125,129,135,136,150,163,172,190,255,246,188,112,155,224,213,214,212,192,197,200,204,209,200,255,255,213,165,141,126,136,133,164,192,208,246,242,228,227,181,134,119,220,215,216,214,194,197,202,206,208,206,255,255,207,159,159,142,132,123,181,219,246,241,236,215,175,185,146,125,218,216,216,215,194,197,202,205,206,216,255,255,203,177,189,155,134,176,239,255,245,241,221,189,149,155,120,156,226,215,216,215,191,196,199,205,204,220,255,255,218,219,204,160,206,255,255,255,243,232,201,168,141,122,112,200,220,217,216,215,193,196,200,206,204,225,255,255,246,235,216,173,243,255,255,255,225,211,184,160,135,103,152,226,216,219,217,216,193,197,202,207,204,225,255,255,255,228,222,185,248,255,255,254,207,187,170,154,124,109,209,222,219,220,217,217,195,198,201,208,207,214,255,255,255,230,214,203,250,255,249,228,194,169,161,139,102,160,229,218,220,219,219,217,196,198,203,207,209,210,255,255,246,236,216,210,234,244,222,197,177,170,157,116,114,218,224,222,220,219,218,216,194,197,203,206,209,210,255,249,235,241,225,210,224,233,213,186,162,162,143,100,180,230,220,221,220,218,216,215,194,199,202,208,211,209,255,236,234,239,219,194,219,236,208,170,145,148,119,146,230,225,225,222,221,221,220,219,188,192,195,198,204,199,255,247,239,228,215,192,207,234,191,147,135,131,120,199,212,208,210,207,206,206,207,199,127,127,127,126,130,119,249,255,251,234,219,197,194,227,179,138,129,119,110,119,118,117,116,115,115,118,106,126,112,114,114,113,119,101,234,255,255,240,230,203,178,224,187,137,118,111,108,106,105,105,104,103,105,94,145,236,122,122,123,124,129,108,216,255,253,232,227,204,166,214,189,131,114,107,111,114,112,110,112,113,100,161,255,246
4,173,174,174,175,176,174,174,174,175,173,172,173,173,172,170,170,170,170,168,167,167,166,166,165,163,162,161,160,175,175,176,177,177,178,176,176,176,175,175,176,173,174,177,171,159,158,166,169,169,168,167,166,165,164,162,162,177,178,179,179,180,180,179,177,177,178,186,185,167,150,174,196,171,131,121,169,171,169,168,167,167,165,164,164,180,180,181,181,181,181,180,183,181,154,174,191,167,118,101,166,164,118,81,120,146,154,168,170,168,166,166,165,181,181,182,183,182,180,195,203,172,127,101,166,150,103,72,125,138,98,72,67,103,104,119,169,169,167,167,167,182,183,182,184,183,186,216,210,164,126,81,147,142,104,64,102,126,98,70,69,96,83,74,161,172,170,168,168,184,184,183,185,185,193,215,206,175,174,100,121,166,142,65,86,147,127,77,82,106,83,70,158,173,172,170,169,184,185,185,186,186,193,217,193,193,196,118,99,183,148,67,73,155,133,74,91,144,112,86,161,175,173,171,170,185,186,187,188,188,190,219,202,187,159,103,82,137,118,73,72,114,114,55,89,168,127,104,170,176,174,172,172,187,188,188,189,188,195,230,220,195,163,127,105,86,81,82,101,144,145,87,82,131,107,129,178,177,174,174,173,189,189,190,191,188,209,234,212,181,161,143,134,119,128,137,153,180,146,108,85,82,70,153,180,179,176,175,174,190,191,191,193,190,220,225,191,158,138,145,192,170,173,186,166,170,139,125,96,80,78,163,181,179,178,177,176,191,193,193,194,193,228,224,193,164,140,139,187,172,174,182,169,157,154,146,109,73,72,161,182,179,179,178,176,192,195,195,194,199,236,226,197,168,141,122,137,142,141,154,139,136,175,168,125,82,67,156,184,181,180,179,178,195,196,196,194,207,237,222,198,165,130,116,107,93,99,133,111,124,184,182,135,95,69,147,186,183,181,180,179,197,198,198,196,215,236,222,197,156,129,127,117,103,130,186,181,155,186,189,137,104,72,138,187,183,181,180,179,198,199,199,196,218,235,222,193,154,135,136,122,116,189,216,203,186,172,180,141,112,80,125,189,185,183,182,181,199,199,201,198,223,234,212,175,154,149,137,118,166,221,223,206,183,170,150,131,109,84,135,189,186,185,182,181,201,201,201,201,227,230,202,173,175,150,128,134,212,229,222,200,173,154,136,112,97,81,163,188,186,185,183,182,202,202,202,204,232,227,200,186,180,145,122,174,228,224,209,189,165,142,125,101,82,94,183,188,188,186,184,183,203,204,205,163,210,225,201,189,184,141,150,200,228,211,194,178,158,133,112,91,69,139,191,190,189,187,185,185,205,207,179,89,116,197,202,192,177,132,160,200,216,197,183,170,145,119,99,78,91,182,192,190,191,189,187,186,208,193,108,77,73,100,163,180,155,124,144,191,198,181,167,153,131,106,85,71,153,196,194,193,193,190,189,187,205,132,77,75,74,69,83,116,119,107,129,164,176,163,149,134,114,90,68,113,193,196,195,194,193,192,190,188,149,88,81,71,67,70,67,66,69,89,115,136,151,139,127,109,92,69,84,182,199,197,196,195,194,193,190,188,87,80,78,68,65,65,64,67,54,57,82,103,117,104,91,81,69,74,163,201,200,199,199,197,195,193,192,191,82,78,69,66,62,63,61,64,59,29,39,52,65,64,53,48,63,156,203,201,200,200,200,198,196,194,193,192,77,71,66,65,60,59,57,59,64,36,20,31,33,34,32,26,103,204,204,202,202,201,200,199,197,195,194,192
7,221,223,224,227,230,230,229,230,230,231,231,231,231,232,232,231,231,231,232,231,229,228,226,224,222,220,219,216,223,226,227,229,230,232,232,234,234,233,232,233,233,233,234,236,234,233,233,234,232,230,229,225,222,222,222,220,225,228,230,232,234,235,234,234,236,237,236,237,238,238,238,237,236,238,237,236,235,233,230,229,227,225,224,222,228,231,232,234,236,236,238,237,237,239,240,240,240,240,240,238,238,239,240,238,236,235,232,230,231,228,226,223,231,233,236,236,238,240,240,239,240,241,241,241,241,241,241,241,240,241,241,240,239,238,236,235,233,231,229,228,233,236,238,239,239,241,241,242,243,242,241,244,243,243,244,243,243,242,242,242,241,238,238,238,235,232,231,228,235,238,237,240,243,244,244,244,245,244,244,246,245,246,246,245,245,245,244,244,243,241,240,239,238,235,234,232,237,240,240,243,244,246,246,246,249,252,250,248,249,250,249,248,248,249,249,246,246,245,241,240,241,240,236,235,238,241,242,244,244,247,252,255,241,216,235,245,245,243,247,249,251,248,247,246,243,241,249,244,241,239,239,237,239,241,244,249,255,255,255,255,254,209,185,211,230,227,231,231,228,231,232,234,229,245,255,226,246,241,240,238,245,252,255,255,255,255,254,251,249,211,167,186,208,218,218,211,205,210,205,216,206,205,190,221,247,242,241,241,255,255,255,255,251,241,230,230,240,216,172,160,171,195,209,220,218,207,208,213,200,201,208,211,243,238,241,243,255,255,249,242,238,231,229,236,251,233,177,162,162,156,163,169,172,174,185,191,190,194,207,198,208,205,245,243,255,244,231,225,221,224,228,239,234,206,176,167,179,182,173,145,150,214,209,205,197,195,198,202,202,233,249,246,254,239,224,218,220,219,213,225,236,207,162,139,160,184,187,179,153,235,255,255,255,255,255,255,255,255,248,248,255,244,233,227,227,227,221,223,242,224,176,157,165,163,161,161,150,243,255,255,255,255,255,255,252,254,251,253,247,244,240,233,229,227,226,230,242,223,184,181,191,177,178,139,202,255,255,255,255,255,255,255,255,255,255,234,236,239,241,239,232,224,220,223,213,200,180,177,185,181,166,168,255,255,255,255,255,255,255,255,255,255,202,137,188,221,243,236,223,216,208,195,175,156,137,103,116,158,143,214,255,255,255,255,255,255,255,255,255,243,134,139,69,105,166,209,194,174,174,180,208,229,145,90,114,141,172,255,255,255,255,255,255,255,255,255,255,185,127,121,44,36,47,66,145,236,249,255,255,255,252,161,188,217,255,255,255,255,255,255,255,255,255,255,181,120,109,83,38,38,32,36,238,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,220,165,140,114,99,86,68,30,30,18,63,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,242,173,126,124,113,102,84,70,61,32,32,17,50,255,255,255,255,255,255,255,255,255,255,255,255,255,255,246,136,83,86,109,96,90,89,77,57,41,36,1,46,255,255,255,255,255,255,255,255,255,255,255,255,255,242,159,128,88,59,79,88,78,82,85,63,41,19,0,28,218,227,228,233,235,238,241,242,244,247,247,252,235,129,91,131,82,50,54,75,69,71,84,74,23,2,1,36,133,129,132,134,136,141,144,145,147,148,145,160,159,101,80,121,79,42,49,59,62,64,76,79,7,6,3,63,149,137,138,140,139,138,138,140,139,135,141,154,139,89,72,110,73,41,43,53,56,58,68,76
4,173,174,174,175,177,178,180,180,180,180,180,180,180,181,180,181,179,180,181,180,181,180,182,181,180,179,178,179,175,175,176,178,180,180,181,181,181,181,181,181,181,181,181,183,185,183,181,182,184,183,181,182,182,180,180,181,177,178,180,181,181,181,182,181,182,183,183,184,185,186,180,163,154,176,177,154,156,186,186,183,185,183,182,181,179,180,181,182,182,183,183,184,183,184,184,175,170,176,194,186,159,134,140,165,141,121,174,189,186,186,184,184,180,181,182,183,184,185,185,186,186,187,187,185,168,136,139,193,180,136,86,114,151,95,115,198,184,186,186,186,182,183,184,185,185,186,186,184,184,175,188,194,181,142,95,130,184,132,92,66,125,102,98,195,186,187,187,187,184,185,185,186,186,187,186,187,184,140,119,149,186,149,97,64,168,147,108,58,113,125,98,191,190,189,188,189,185,186,187,187,188,186,189,187,187,144,89,75,169,171,113,52,141,188,138,69,108,153,105,189,191,190,189,190,185,188,189,188,189,187,190,164,161,152,118,57,147,193,113,88,151,185,144,88,84,140,126,196,191,191,190,191,186,187,188,190,191,190,192,171,116,152,154,78,105,176,118,81,110,143,137,85,74,97,84,184,195,191,192,192,187,188,190,190,191,191,194,177,145,142,144,95,81,104,102,94,90,105,113,83,90,114,90,126,203,191,194,193,188,189,192,191,192,191,196,191,172,143,113,89,87,97,93,102,106,99,94,85,143,150,138,105,174,200,193,193,191,191,192,192,193,192,198,190,162,143,118,102,104,107,109,123,124,127,137,133,146,170,158,118,114,203,194,195,190,191,192,194,194,193,198,186,151,129,116,104,116,124,141,150,162,177,192,188,163,157,136,106,78,171,203,194,190,191,193,195,195,194,198,190,160,137,122,113,129,130,161,188,173,187,188,183,173,151,124,95,76,135,210,194,192,193,195,197,196,195,197,201,175,148,125,118,127,134,180,187,178,186,185,179,164,148,124,97,74,154,206,195,192,194,196,197,197,197,195,201,184,159,135,118,127,142,183,188,187,192,190,177,166,150,120,91,88,193,200,198,193,195,196,197,197,198,196,200,196,170,145,121,142,144,176,191,197,200,196,184,167,137,114,82,129,211,199,201,194,196,196,197,198,199,197,198,201,180,152,132,153,152,168,193,201,203,206,194,160,127,107,80,172,208,200,201,195,196,197,198,199,200,198,195,199,194,156,140,155,160,175,194,204,208,210,187,148,126,94,98,205,202,202,201,196,197,198,199,200,201,201,191,189,194,165,146,154,159,178,197,201,211,196,164,136,123,81,138,215,201,203,202,197,198,198,199,201,201,204,188,185,194,178,156,150,157,176,196,194,193,173,149,129,110,79,184,209,202,203,203,198,198,199,199,199,200,204,194,180,194,186,169,157,160,172,187,189,172,156,137,115,86,125,214,203,203,203,203,198,198,198,198,200,201,202,203,181,179,182,174,165,163,162,166,170,154,137,114,91,93,197,207,205,206,205,204,195,197,197,198,198,199,200,204,187,175,181,172,166,162,151,150,158,145,121,100,72,150,214,202,204,205,206,204,196,197,197,198,199,200,201,205,189,180,177,166,160,156,142,139,146,134,101,89,80,191,208,204,204,204,204,204,198,198,199,200,200,201,201,204,192,180,168,145,151,150,143,142,137,120,97,82,103,209,204,206,206,204,205,204,198,198,200,201,201,201,201,204,195,181,175,156,167,164,155,146,134,119,105,75,127,213,204,206,206,205,204,204
7,179,181,182,183,185,185,187,187,187,188,187,188,187,188,187,187,186,186,187,185,184,184,183,182,181,180,179,179,180,182,184,185,186,186,188,188,188,189,189,189,188,189,188,187,187,186,186,187,186,185,183,183,182,181,181,181,182,183,185,186,188,188,190,190,191,192,191,190,190,190,190,189,188,188,187,188,186,186,185,184,182,182,182,181,183,184,186,187,189,190,192,191,192,192,191,192,193,192,191,190,189,190,188,188,187,187,185,185,184,183,183,182,184,186,188,189,190,191,194,194,193,194,193,193,194,193,192,191,191,189,189,188,188,188,187,186,186,185,185,183,185,188,190,191,193,194,194,195,195,195,195,194,193,193,193,193,192,191,190,190,188,189,188,187,186,186,185,184,187,189,191,192,194,196,198,201,199,198,199,199,199,200,199,197,196,196,195,196,194,191,190,188,188,187,186,185,188,190,193,194,195,193,182,176,184,189,183,175,176,176,181,181,179,176,180,171,171,185,188,189,190,189,187,187,189,192,194,194,193,181,155,135,136,147,157,150,142,134,146,161,161,148,159,137,157,191,167,189,191,189,188,187,191,193,192,190,182,173,166,156,132,119,135,140,143,131,135,151,150,146,143,139,148,169,154,189,193,191,189,188,189,186,180,175,176,180,181,163,120,107,120,130,124,104,113,110,114,122,117,116,121,126,160,194,181,190,191,189,182,178,177,178,172,163,173,148,102,112,122,137,135,124,109,119,147,161,152,137,148,149,177,212,153,176,196,190,180,177,175,169,160,156,159,153,120,98,103,118,124,134,129,118,148,164,156,146,145,143,135,149,148,191,194,192,179,172,166,163,163,161,161,163,140,99,78,78,88,107,112,109,121,120,122,117,122,132,144,163,193,198,194,193,174,168,163,161,160,159,160,152,128,99,78,88,148,129,126,133,144,155,164,175,192,200,203,204,198,196,195,195,168,161,156,154,149,148,146,140,120,92,85,77,175,219,204,208,212,211,209,207,204,201,199,199,199,198,196,195,163,159,155,154,154,152,150,146,130,94,82,81,101,213,207,207,206,205,204,202,202,202,201,200,199,199,197,195,163,161,156,157,153,153,156,156,133,95,86,86,84,200,212,207,208,207,206,205,204,204,203,201,200,200,198,197,168,169,165,156,150,141,145,144,123,101,95,90,74,171,218,208,207,207,207,206,206,205,204,202,202,200,199,198,169,169,166,155,148,139,133,127,111,104,104,96,80,104,218,210,210,209,208,207,206,205,205,204,203,202,200,198,163,160,151,139,132,126,119,114,104,101,106,94,73,124,218,210,210,209,208,206,206,205,204,204,203,201,200,199,150,147,131,115,104,101,105,87,85,94,96,115,163,199,213,210,209,208,208,206,206,206,205,204,204,202,200,199,115,124,116,99,117,155,195,169,139,146,176,207,220,212,211,211,211,210,208,207,206,206,205,204,204,203,200,199,54,65,60,128,215,213,213,218,219,218,219,214,210,212,213,212,212,210,210,209,208,207,206,205,204,203,202,201,39,38,43,191,214,208,211,210,211,212,212,213,214,213,212,212,212,211,211,210,208,207,206,206,204,204,201,199,48,34,115,217,207,210,211,212,214,214,214,214,214,212,212,212,212,211,211,209,207,206,206,205,205,205,205,205,54,42,194,214,210,213,213,215,216,216,217,217,216,215,214,214,213,214,213,213,211,209,210,211,205,200,191,179,56,48,184,199,195,197,199,199,199,200,199,199,198,199,197,196,195,194,194,193,192,191,180,148,114,100,85,72
2,147,148,150,151,151,152,152,152,152,152,151,150,149,148,149,149,147,146,145,141,142,141,138,136,134,132,130,129,150,151,151,153,154,154,154,155,154,153,153,151,154,155,155,153,153,152,152,149,142,142,140,138,137,135,132,130,153,154,155,155,156,156,156,156,156,156,155,157,142,130,136,134,124,117,108,125,153,143,140,140,138,137,135,132,154,155,156,156,157,158,158,157,159,157,158,147,121,113,118,117,104,80,58,46,102,147,147,141,140,139,136,134,156,157,157,159,160,160,161,159,161,162,150,122,121,126,114,117,122,73,65,78,81,83,115,144,141,141,138,136,157,159,160,161,162,162,162,162,163,164,152,138,128,108,92,91,80,22,30,59,69,34,29,136,146,141,139,137,159,159,161,163,163,165,165,166,167,159,152,143,121,89,62,42,56,100,122,90,65,40,84,150,144,143,140,138,160,161,163,164,164,167,167,168,163,139,137,120,81,25,0,57,169,165,164,164,157,151,157,149,145,144,141,139,162,163,165,165,166,167,169,169,159,135,121,76,25,5,0,115,173,157,158,156,155,155,150,149,147,146,143,140,161,163,166,167,167,168,170,170,157,136,81,19,0,0,41,169,163,163,160,158,156,154,154,157,154,148,144,142,163,164,167,168,169,170,172,166,159,134,72,2,0,0,97,179,162,165,163,160,157,159,151,119,110,142,147,144,164,166,168,169,171,172,172,162,159,125,66,3,12,0,91,180,164,166,164,161,161,153,89,51,37,93,154,143,165,166,168,171,172,174,171,162,154,115,42,8,21,1,105,180,166,167,164,165,160,96,64,66,43,88,157,143,166,168,170,172,173,174,170,165,153,106,46,30,20,0,133,178,166,168,167,167,104,60,71,56,43,138,152,147,166,170,171,172,174,175,167,165,152,112,59,34,15,0,81,189,171,166,175,121,41,50,62,31,93,163,150,150,167,170,171,172,174,178,166,162,150,109,63,34,13,14,14,76,152,180,128,66,42,42,37,38,157,155,152,150,169,171,174,174,173,177,166,160,141,106,73,33,13,16,23,17,47,88,45,48,61,36,27,131,162,154,154,151,170,173,175,175,177,176,164,159,142,107,64,30,12,15,21,31,36,27,31,47,38,39,142,168,156,157,155,150,169,173,174,176,178,176,159,165,155,102,64,36,12,18,23,27,38,43,33,39,34,147,170,158,158,157,154,151,172,173,174,176,177,172,157,173,149,96,63,37,13,18,25,29,37,45,35,10,127,177,159,160,158,157,155,153,172,175,176,178,179,168,162,171,137,88,62,41,14,17,29,35,38,42,18,90,176,165,164,162,160,157,157,155,172,175,176,178,181,165,163,163,128,83,64,42,15,19,34,39,43,23,41,178,168,166,166,164,162,159,157,155,174,175,177,178,180,163,165,152,116,86,66,40,15,20,37,34,35,2,126,182,168,168,166,165,163,161,158,157,173,175,178,180,180,161,157,136,106,80,59,36,13,20,35,33,2,72,185,171,171,170,167,165,163,162,158,157,173,175,177,179,177,161,147,131,102,77,56,33,15,21,32,4,51,178,175,173,171,169,168,165,163,161,158,156,173,175,177,179,174,159,136,122,91,69,50,31,17,13,0,58,176,182,174,174,173,171,169,166,164,163,160,157,173,175,178,178,175,154,132,118,88,64,43,28,4,20,117,183,181,176,176,175,173,172,171,166,164,163,160,156,172,175,177,174,171,149,129,112,90,60,38,16,0,139,199,177,177,179,176,175,172,170,169,166,164,161,159,156
1,130,134,137,139,144,150,153,153,154,155,158,159,161,163,163,164,164,164,170,167,167,168,167,167,166,166,167,168,135,138,141,144,148,153,155,158,159,160,162,162,164,162,167,167,176,171,143,172,171,170,169,168,167,167,168,169,139,143,146,149,153,156,160,163,164,166,167,167,167,183,148,156,198,176,97,172,177,175,172,172,171,171,170,171,144,148,150,154,158,161,164,167,169,170,172,170,176,207,120,139,203,158,100,174,155,165,179,176,176,175,174,175,148,151,154,159,163,166,169,172,173,175,176,174,190,201,110,150,204,143,105,187,146,118,187,179,180,179,178,176,151,156,160,164,168,170,175,177,178,178,187,164,175,194,110,158,205,133,115,201,149,106,188,183,183,182,182,180,156,161,164,168,172,176,180,183,185,184,209,148,136,175,117,166,211,142,131,207,141,106,191,188,187,186,185,184,161,166,167,172,177,181,185,188,189,191,216,131,136,161,128,165,200,136,135,212,142,108,196,192,191,190,189,188,165,169,172,176,182,184,189,191,193,197,204,118,141,143,117,143,193,126,147,218,147,115,202,196,195,194,193,191,168,172,176,180,186,189,191,197,197,201,211,129,143,151,118,144,210,132,165,211,142,122,208,202,200,198,197,196,171,175,180,183,190,193,195,201,199,206,209,127,133,169,131,145,211,131,177,216,142,129,212,204,204,203,202,201,175,179,183,188,193,195,200,203,202,214,220,145,123,157,114,135,184,114,192,218,147,141,218,205,207,208,206,205,178,182,186,191,197,199,201,206,205,215,230,150,109,138,114,141,161,138,200,201,136,153,222,209,212,210,208,207,181,186,189,193,200,203,205,209,208,217,226,156,143,185,171,183,188,174,160,187,129,164,224,212,215,214,212,211,183,187,192,197,201,205,209,213,211,225,237,188,155,154,200,217,227,184,117,150,115,173,226,217,217,217,215,214,185,189,194,199,202,206,211,216,213,235,224,169,139,103,132,164,186,210,161,93,89,193,228,219,220,220,218,215,187,192,197,202,206,208,213,218,215,241,218,166,125,113,118,133,184,236,207,122,81,212,227,223,222,221,220,219,190,194,199,205,208,212,216,220,218,246,226,165,133,136,142,181,203,229,234,162,94,210,232,226,225,223,223,224,192,197,201,205,209,215,219,221,222,247,221,163,132,144,151,218,231,211,210,167,99,186,239,226,227,226,225,225,195,200,203,208,213,216,219,221,225,245,220,173,141,157,173,242,239,208,169,136,91,186,241,228,229,228,227,226,196,200,206,211,215,218,221,224,226,242,223,176,158,151,190,251,234,190,154,112,88,206,239,230,232,231,230,229,198,204,207,211,217,219,223,226,227,237,219,177,165,149,190,247,217,174,141,98,120,239,233,234,234,231,231,233,199,204,208,212,216,219,224,229,229,231,218,186,178,154,179,234,198,160,124,85,168,248,233,235,235,234,234,234,201,205,211,214,218,222,225,228,230,228,214,191,186,159,175,225,185,148,111,90,211,244,236,238,237,237,235,236,203,206,211,215,220,223,227,229,232,233,222,193,186,150,167,209,171,137,97,113,241,239,239,239,239,239,239,238,202,206,212,218,221,223,227,232,229,235,227,195,178,135,157,178,143,125,86,160,252,241,242,240,240,239,240,238,201,206,211,216,220,222,225,231,224,239,230,215,176,140,160,161,135,109,106,228,245,242,242,240,241,241,239,239,202,206,211,215,221,226,227,227,224,240,231,218,184,153,161,148,128,89,178,250,240,242,242,240,241,241,240,239
10,84,93,96,100,106,114,121,126,130,134,139,142,145,148,150,153,155,156,158,158,155,161,160,161,160,159,159,157,87,95,99,103,109,116,124,130,133,137,141,145,148,149,152,157,159,160,158,168,175,141,165,164,164,162,162,161,87,97,101,103,111,119,127,132,136,139,142,147,151,152,157,159,160,161,154,193,200,111,162,167,166,166,164,164,89,98,101,105,114,121,127,133,138,141,145,148,152,155,160,162,163,165,158,202,209,113,155,171,168,168,166,167,92,100,103,107,115,124,131,134,139,143,147,151,155,159,161,165,166,168,162,195,227,128,147,176,169,171,171,170,93,102,105,109,118,125,132,136,141,145,149,153,158,161,162,165,168,170,166,190,248,156,134,182,173,174,174,173,96,104,107,112,121,128,134,140,145,149,153,158,160,162,165,167,168,172,168,188,251,178,119,182,176,177,176,177,97,105,108,114,122,129,136,142,148,152,155,159,162,165,166,168,175,175,172,184,250,190,113,181,179,178,178,178,99,107,109,116,124,132,138,144,150,151,156,162,164,163,182,181,135,178,176,183,248,196,108,176,183,180,180,180,102,110,113,117,126,134,140,145,149,161,160,157,166,168,204,201,99,127,185,186,248,205,108,169,189,183,185,184,104,110,114,119,129,136,141,147,148,198,156,96,96,107,159,202,171,131,162,195,240,199,111,154,192,185,187,186,104,111,114,122,131,138,143,150,153,172,129,80,74,83,81,174,229,175,107,198,215,192,126,137,197,187,188,188,105,113,116,123,132,140,146,151,157,162,150,127,110,103,96,110,203,185,101,142,164,168,133,125,198,190,191,191,108,115,119,126,134,143,149,154,159,164,172,167,201,194,88,68,182,219,152,79,90,120,125,103,190,193,192,192,110,116,121,128,136,144,151,156,162,167,168,179,246,193,62,46,132,242,185,102,63,90,107,86,174,199,193,194,111,117,122,128,137,145,152,158,163,170,165,218,251,182,75,75,69,234,214,148,81,73,105,86,162,203,193,195,112,118,122,130,138,147,153,159,166,172,168,214,244,221,102,37,89,223,235,177,106,66,99,87,166,207,197,198,113,120,123,131,140,148,155,160,167,172,174,182,228,241,143,83,118,222,234,173,110,76,88,83,173,209,200,200,114,120,125,133,142,150,157,162,168,172,177,175,206,211,140,125,134,233,224,190,130,87,86,79,180,208,201,203,116,122,126,135,145,150,157,164,170,174,178,183,181,202,200,154,174,246,221,200,156,103,85,76,187,208,203,205,119,124,128,136,145,152,159,165,171,175,180,186,183,224,251,211,213,251,226,192,160,117,89,73,190,209,205,206,118,123,127,136,145,152,159,165,171,176,180,186,185,213,251,231,233,249,226,191,161,126,97,76,192,210,208,208,118,122,126,135,145,151,157,163,170,174,180,184,185,199,251,246,237,246,224,191,156,135,105,77,193,210,206,207,119,125,127,137,147,154,160,166,171,176,182,186,188,197,248,250,245,246,220,191,164,143,110,73,192,211,208,208,119,124,128,137,147,154,161,167,173,178,183,187,191,191,237,251,249,245,218,200,173,140,105,76,202,211,210,210,120,124,130,139,149,155,162,168,173,179,183,188,192,189,222,251,238,234,212,213,186,136,95,86,213,208,212,213,119,125,130,138,148,154,162,170,176,181,185,189,193,198,214,245,221,219,216,215,199,137,84,88,219,216,212,213,114,121,128,135,145,152,160,169,174,179,184,187,194,156,77,196,218,230,228,213,203,132,83,32,39,170,221,212
23,159,159,160,160,162,162,162,163,162,163,164,164,163,163,164,163,163,163,162,163,163,160,160,160,159,158,155,153,163,164,163,166,166,166,167,168,168,168,169,168,167,167,167,166,167,168,166,167,166,164,163,162,162,161,160,157,167,169,169,171,171,172,173,173,174,174,172,171,172,171,169,175,175,171,171,170,170,169,167,167,165,164,163,161,172,172,173,176,175,175,177,178,178,176,185,174,176,181,176,140,165,184,174,174,175,173,170,171,170,167,167,166,177,177,178,180,179,179,181,183,179,185,223,191,178,200,183,142,103,162,187,179,178,177,176,174,173,172,171,170,181,181,182,183,184,183,185,188,181,210,210,171,98,119,108,138,140,117,146,186,181,180,180,178,178,177,175,173,185,185,186,187,186,188,189,189,191,220,198,155,79,159,169,149,116,93,106,191,184,184,185,183,182,180,179,177,188,189,189,189,190,192,192,190,205,203,202,131,146,204,152,187,181,165,185,194,188,188,187,187,186,185,183,182,190,193,192,194,195,196,198,195,207,198,203,210,217,189,95,145,218,198,197,196,194,193,190,190,189,188,187,185,194,196,197,196,198,190,176,182,188,198,201,199,192,180,96,79,177,202,197,197,197,196,195,194,190,189,189,189,198,199,199,201,196,170,140,151,163,167,162,161,154,138,96,27,43,170,209,199,199,197,196,198,196,194,192,191,199,201,201,199,204,193,189,176,182,173,157,150,128,65,55,28,17,142,218,201,204,202,200,200,199,198,197,195,201,203,204,200,199,206,203,192,165,109,105,113,109,49,51,27,35,190,211,204,206,206,204,204,202,200,198,197,205,206,208,204,186,189,211,191,108,75,23,82,125,50,53,27,82,222,208,210,209,208,207,206,205,204,201,199,207,207,211,209,186,180,217,186,90,32,10,115,131,57,48,9,104,229,209,213,211,209,209,208,207,206,203,201,208,209,212,212,186,178,220,194,120,40,40,101,67,46,30,14,83,225,212,214,213,213,212,211,210,208,207,206,213,213,215,214,183,180,231,199,121,66,14,7,2,13,22,32,74,222,215,214,214,215,213,213,212,211,209,208,214,213,216,212,175,197,235,198,125,85,27,0,19,26,37,38,100,230,216,216,217,216,216,213,213,213,213,211,214,217,219,212,177,201,224,200,135,90,62,38,56,56,57,42,116,235,217,220,218,217,216,215,215,215,214,213,217,221,221,221,182,188,204,180,123,92,78,48,63,63,62,43,145,237,219,222,221,219,219,217,217,215,214,214,221,222,223,224,187,178,184,162,130,124,87,53,63,63,62,52,196,234,223,223,224,223,222,221,219,217,216,214,222,222,224,227,195,183,183,161,138,124,82,59,64,72,51,98,237,227,227,224,225,225,224,223,221,220,218,215,222,223,225,228,201,200,181,158,126,100,73,63,67,69,60,200,238,228,228,227,226,225,224,223,223,221,220,218,223,224,226,224,207,216,188,165,141,101,69,60,61,62,186,243,231,230,230,231,229,227,226,224,224,223,222,221,224,224,229,222,209,216,186,170,148,93,59,59,45,155,251,231,234,232,232,232,231,230,229,226,226,224,223,221,225,227,232,224,207,191,171,155,124,65,50,52,64,225,236,235,235,233,233,233,232,231,230,229,229,225,224,223,227,229,231,220,208,173,156,151,139,62,56,49,106,244,234,238,235,233,235,235,233,233,232,231,229,228,226,225,227,229,229,217,220,178,152,169,172,70,61,49,126,253,235,237,236,236,236,235,234,234,233,231,230,231,226,216
6,180,181,183,185,187,188,189,189,189,189,189,188,187,186,185,185,184,182,181,179,179,177,175,173,171,170,168,167,180,182,185,187,188,189,190,190,191,191,190,189,188,187,187,186,185,184,182,181,180,179,177,174,173,171,169,168,182,185,187,188,189,190,192,192,193,192,191,191,190,189,188,187,187,185,184,182,181,180,178,176,174,172,171,170,184,186,189,190,191,192,193,194,194,194,193,192,191,191,189,188,188,187,186,185,183,181,179,178,176,174,172,171,185,187,190,191,192,194,194,194,195,195,194,194,193,192,191,190,189,188,187,186,184,182,181,179,177,175,174,173,185,188,190,192,193,194,195,195,195,195,195,195,195,194,193,192,190,189,188,187,186,184,183,181,178,175,174,173,186,188,191,193,194,195,195,195,196,196,196,196,196,195,194,193,191,188,185,181,178,178,177,172,167,167,168,167,187,189,192,194,195,195,196,196,197,196,196,194,192,190,187,182,175,164,154,143,135,139,139,134,129,137,149,144,187,190,193,194,195,195,195,195,193,188,179,168,160,156,153,149,142,133,122,113,106,111,112,112,111,116,126,123,188,191,193,194,192,186,177,169,163,155,143,132,124,124,127,129,127,120,109,103,99,100,103,107,107,111,126,143,187,186,183,178,168,154,144,140,137,133,127,114,99,96,97,101,106,109,113,120,129,138,145,151,155,161,169,174,169,161,154,151,148,141,137,137,135,134,130,116,88,71,72,107,141,158,170,178,184,186,186,186,185,183,181,179,153,148,147,148,147,143,141,141,141,140,134,117,87,71,78,127,166,186,194,195,193,191,190,189,187,184,182,181,153,150,147,146,144,140,137,135,135,135,124,100,78,74,79,88,103,129,161,187,194,193,191,189,187,184,183,181,154,151,147,144,141,136,131,128,125,123,111,89,73,74,80,83,82,81,95,144,189,194,192,190,187,185,184,182,151,148,143,139,136,131,127,124,123,126,119,94,69,63,71,80,83,82,77,110,182,194,193,191,188,187,185,183,146,142,137,132,129,125,122,118,120,127,123,96,71,63,61,61,66,76,84,129,188,195,194,192,189,188,186,184,140,136,129,123,121,118,115,109,110,113,103,82,72,73,72,64,57,79,132,178,196,196,194,193,191,188,186,185,130,129,124,117,113,110,106,100,99,100,86,68,64,72,76,73,67,94,173,198,198,196,194,193,191,189,187,186,121,124,121,115,110,106,103,101,103,102,85,62,56,63,70,73,71,94,174,199,197,196,194,193,192,190,187,186,106,114,118,116,109,102,99,101,105,99,82,68,65,65,61,72,96,139,190,200,199,197,196,194,192,190,187,186,74,92,107,109,104,98,96,96,95,89,82,76,72,69,68,110,168,193,201,201,200,198,196,194,193,190,188,187,39,95,133,122,109,109,112,116,119,127,136,132,114,101,116,167,201,203,203,201,200,198,196,194,193,192,189,187,44,139,188,182,174,176,181,186,190,195,199,198,190,183,190,200,203,202,202,200,199,197,195,193,192,191,188,186,87,171,197,198,200,201,203,204,206,206,206,206,206,205,205,203,202,201,201,199,197,195,194,192,190,189,187,185,150,189,197,198,200,201,203,205,206,206,206,206,206,205,204,203,202,201,200,199,197,195,193,192,190,188,187,186,187,193,196,198,200,202,203,205,206,206,206,206,206,206,205,203,202,201,200,199,197,195,194,192,190,188,186,185,190,193,196,198,200,202,203,204,205,206,206,206,206,206,205,204,202,200,199,199,197,195,193,191,190,187,185,184
2,169,172,174,175,175,176,177,178,178,177,178,178,176,176,177,176,176,176,177,174,170,169,167,167,166,164,163,161,171,173,175,176,176,178,179,180,179,180,180,180,182,182,180,178,177,171,164,170,178,172,169,168,166,164,164,162,173,174,176,177,177,179,179,181,180,181,181,170,148,150,156,154,144,137,123,104,136,169,175,172,168,167,165,164,173,176,178,179,179,179,180,181,181,182,182,163,140,138,143,145,137,126,118,95,79,111,136,154,172,168,167,165,174,177,178,179,181,181,183,182,183,185,171,152,155,154,153,150,140,117,99,103,107,103,107,116,172,168,168,166,174,177,178,180,182,182,183,183,184,181,154,147,159,160,151,142,139,118,109,115,129,126,97,106,174,169,168,166,175,177,179,181,181,182,183,184,185,178,162,155,149,137,126,146,155,98,82,99,108,102,94,148,176,170,168,167,177,179,181,182,183,183,184,185,186,178,157,157,150,137,129,126,103,115,162,140,122,128,171,179,171,171,169,168,177,180,180,182,183,185,186,186,185,176,173,162,143,125,103,99,117,174,188,186,185,183,177,177,179,178,174,169,178,180,180,182,185,186,186,185,168,168,164,146,117,67,121,183,188,186,181,180,180,178,181,166,133,119,154,173,178,180,182,183,184,185,187,183,161,159,144,118,76,42,126,198,183,186,185,182,180,182,166,112,84,78,105,175,178,181,183,184,185,187,186,176,155,144,116,76,60,58,117,196,184,187,185,182,185,170,120,92,88,82,101,177,179,182,182,184,186,187,182,175,162,136,84,56,67,60,130,196,184,187,183,186,175,121,97,97,88,72,140,179,180,182,184,184,186,187,182,177,161,135,87,58,69,60,116,202,185,185,187,188,128,83,84,90,77,99,179,172,180,182,185,186,186,187,184,177,158,130,81,62,70,64,63,152,192,193,187,145,98,72,74,78,75,163,178,172,181,183,184,187,187,187,181,175,157,120,77,74,70,65,66,66,106,156,123,92,88,88,74,73,151,182,174,174,181,182,185,187,188,187,181,177,156,119,90,81,69,68,71,75,72,78,74,75,85,83,78,158,186,178,176,174,181,182,186,187,189,187,180,173,156,128,96,79,68,68,69,75,80,84,78,80,87,75,154,187,179,179,177,174,180,183,186,187,188,187,175,167,156,126,100,84,66,67,69,75,80,85,84,78,66,129,194,179,180,179,177,175,180,182,186,187,189,186,172,165,152,125,107,83,64,67,71,75,80,87,91,74,86,183,184,181,179,179,177,175,181,183,186,187,189,185,172,165,148,128,105,82,67,67,72,77,81,85,88,70,158,192,182,183,181,179,179,177,181,183,186,187,189,184,169,171,159,128,104,88,67,66,73,79,83,88,75,89,191,185,186,184,182,180,179,177,180,183,185,187,191,180,168,179,163,126,103,88,69,64,75,80,85,88,61,144,194,184,184,183,181,179,178,176,179,181,183,185,188,177,171,178,156,123,102,90,72,62,77,82,84,67,91,190,185,184,183,181,180,178,177,176,178,180,182,184,187,174,172,172,149,118,100,91,75,63,75,81,73,66,167,191,183,183,182,180,180,178,176,175,178,180,181,183,187,173,169,165,141,116,103,91,76,64,74,75,59,147,193,183,184,182,181,180,179,177,175,174,178,180,181,183,185,170,166,153,131,113,99,87,73,66,67,66,141,195,185,185,184,182,181,181,179,177,176,174,176,178,181,183,183,169,157,147,127,108,97,85,75,63,73,163,194,185,186,185,182,181,179,178,177,176,174,173
4,124,126,127,131,132,134,137,138,138,140,141,141,142,143,143,143,143,143,142,141,142,141,141,141,140,139,139,139,124,127,128,132,133,135,137,138,139,140,142,142,142,145,145,143,144,145,144,142,143,141,141,141,142,141,141,140,125,128,130,132,133,136,137,139,140,141,144,143,143,144,146,146,144,144,146,144,143,143,143,142,143,142,141,139,126,129,131,134,136,137,138,140,143,142,143,144,142,152,142,133,147,148,137,146,146,144,144,144,142,141,141,141,128,130,132,134,137,139,140,141,142,142,145,139,162,167,139,107,143,157,119,114,148,147,146,145,144,143,142,142,127,131,134,135,137,139,141,143,139,170,171,138,147,179,139,112,159,155,128,76,133,133,138,149,145,144,143,142,129,133,134,137,139,139,143,142,148,197,195,155,104,175,144,108,178,159,108,100,152,107,86,141,146,143,144,144,131,134,135,139,141,140,145,138,168,188,188,143,98,169,145,113,170,148,133,152,122,98,61,104,153,144,146,145,131,133,136,140,141,143,144,142,184,164,177,128,84,146,154,156,155,174,198,164,98,69,60,93,155,146,147,146,132,136,138,140,142,145,143,151,188,154,164,139,67,128,140,160,173,183,176,159,126,74,47,106,156,146,148,147,133,136,139,140,142,146,141,176,184,148,141,142,59,116,114,88,138,158,146,161,140,92,47,118,156,147,148,148,132,136,139,141,143,143,149,192,159,131,123,94,60,119,115,61,146,117,131,176,148,107,64,138,153,149,149,149,134,138,140,142,145,140,163,194,150,118,111,97,83,98,96,71,140,87,106,199,164,123,74,142,154,150,150,150,134,138,140,142,146,139,178,196,150,116,99,83,87,91,91,102,112,119,133,189,176,131,73,106,159,150,151,150,135,138,141,144,147,141,190,193,151,113,95,84,91,89,113,135,147,176,173,162,162,126,90,79,156,152,153,152,136,139,142,145,147,145,198,192,146,109,110,96,88,82,126,155,176,172,168,152,121,129,99,83,154,153,153,152,136,138,142,145,145,153,205,189,143,123,132,106,90,122,170,184,175,172,156,132,101,106,80,107,161,152,153,152,133,137,139,144,143,156,206,186,155,155,144,110,145,185,197,187,174,165,141,116,95,81,73,141,156,153,153,152,135,138,141,145,144,160,205,194,176,167,153,120,173,192,197,193,160,149,128,110,91,67,104,160,152,155,153,153,135,138,142,146,144,160,207,200,183,162,157,129,177,197,195,182,146,131,118,105,82,71,147,158,155,156,154,153,137,139,142,146,146,151,204,199,184,163,151,143,179,193,178,162,136,117,111,94,65,110,163,155,156,155,155,154,137,139,143,146,148,148,197,190,176,168,153,148,166,174,158,139,123,118,107,76,75,154,159,157,156,155,155,153,136,139,143,145,148,148,193,178,167,172,160,148,159,166,150,130,112,111,97,64,125,163,156,157,156,154,153,152,136,140,142,146,149,148,187,168,166,170,155,136,155,168,147,118,99,101,79,99,164,159,160,157,157,156,156,155,132,134,137,139,144,140,184,177,171,162,152,134,146,167,134,100,91,88,80,139,150,147,148,146,145,145,146,140,85,85,85,84,87,79,178,190,180,166,155,138,136,162,124,94,86,78,72,79,78,77,77,75,75,78,69,84,74,75,75,74,79,65,167,204,184,171,164,143,124,159,131,93,77,72,70,68,68,68,67,66,68,59,99,168,81,81,82,83,86,70,153,204,181,165,162,143,114,152,132,88,75,69,73,75,73,72,73,74,64,111,184,176
0,154,155,154,154,153,153,154,153,152,151,150,151,150,149,148,147,147,146,144,143,143,141,141,139,139,137,135,135,154,156,155,155,155,154,154,154,153,152,151,152,151,151,150,149,148,147,147,145,144,142,141,139,138,137,137,137,155,155,155,156,156,156,156,155,154,154,153,152,152,151,151,150,147,147,146,145,144,144,141,140,139,138,137,136,157,157,157,157,157,157,157,157,155,154,154,154,156,156,151,153,153,149,145,145,144,145,144,142,141,139,137,137,156,158,159,159,158,158,156,156,158,159,155,142,113,123,157,136,121,138,153,149,150,148,143,145,143,141,139,138,158,160,159,160,159,157,157,149,128,139,152,122,91,62,107,109,79,61,128,123,108,133,149,139,141,142,140,139,160,160,159,160,159,158,157,139,109,86,117,135,95,62,72,120,88,54,54,94,62,47,123,110,108,147,139,139,161,161,160,160,159,160,159,155,131,103,75,132,103,70,71,125,95,60,59,109,83,35,58,108,77,149,140,139,161,161,161,161,159,163,155,147,137,113,62,116,110,74,71,124,98,61,48,105,84,42,32,98,71,141,143,141,162,162,162,161,160,165,152,113,138,96,52,118,106,67,64,116,88,52,32,84,66,34,28,98,58,109,151,142,163,162,163,162,161,161,126,88,132,77,49,111,84,46,57,103,75,41,36,98,76,24,33,104,82,61,140,145,162,162,163,163,164,161,139,111,130,88,64,103,84,43,55,105,75,30,75,120,84,16,38,104,96,50,93,154,163,164,164,163,166,157,135,110,114,97,67,109,103,46,72,121,88,34,102,128,57,10,82,112,95,41,80,155,164,166,166,165,161,134,105,88,75,60,54,120,101,41,81,127,93,38,11,43,4,47,117,115,79,30,122,148,166,166,166,166,161,137,109,82,56,45,42,72,78,37,33,79,59,33,39,7,30,110,118,103,46,68,154,143,166,165,167,163,155,135,113,83,61,60,62,54,63,60,45,49,83,113,120,103,88,112,103,75,31,129,151,144,167,167,167,163,154,139,116,89,63,56,63,70,87,99,105,122,132,123,111,111,84,88,91,38,60,158,145,147,167,168,168,166,158,140,119,98,73,63,65,79,110,123,134,136,129,117,106,100,73,66,71,18,117,156,146,147,168,168,168,165,160,140,123,104,83,82,69,105,139,138,139,134,125,110,102,96,64,51,30,52,158,151,150,147,168,168,168,165,163,146,129,112,98,96,100,135,144,140,140,133,120,106,96,81,53,24,30,139,154,151,151,149,168,169,168,166,164,147,133,120,109,103,130,139,143,145,139,123,113,98,83,66,28,21,135,157,150,151,150,150,168,169,169,163,161,152,138,125,110,108,139,139,145,144,131,112,100,89,71,41,12,126,161,150,153,153,151,149,168,170,169,162,158,154,142,129,112,106,136,141,137,132,116,98,85,74,48,11,114,165,152,154,154,154,152,151,169,170,171,165,159,157,146,137,122,109,132,138,126,117,102,85,69,44,9,103,167,155,156,155,153,154,153,151,169,169,172,168,162,153,146,139,129,116,129,129,116,102,91,72,43,8,100,168,156,158,156,155,154,153,152,152,168,169,171,166,159,150,156,151,139,123,125,120,100,89,79,46,8,106,171,158,159,159,157,156,155,153,152,152,169,170,171,164,161,149,158,152,133,120,115,111,89,71,56,17,109,173,159,161,161,160,158,157,155,155,153,152,171,171,168,161,155,140,153,141,127,119,109,95,78,62,26,69,176,161,163,161,161,159,159,157,155,155,155,153
4,175,175,176,176,176,176,175,175,174,175,174,173,173,172,173,172,169,169,169,168,166,167,166,165,166,164,162,161,177,177,177,177,178,177,175,175,175,175,174,173,174,172,172,173,172,172,170,169,168,167,166,166,164,165,164,162,178,179,179,179,178,177,177,177,177,176,174,174,173,172,173,174,171,171,172,169,167,168,168,166,165,165,166,164,180,180,180,181,180,180,180,179,178,179,177,176,176,179,176,174,176,173,170,170,169,169,168,167,167,166,166,165,182,181,181,181,181,180,180,177,173,166,172,178,155,148,171,171,158,159,175,171,172,168,168,169,167,168,167,166,182,183,182,183,182,181,183,188,163,146,107,125,150,107,87,147,143,94,115,184,174,174,169,170,169,168,168,165,184,184,183,183,183,179,194,199,170,137,88,66,138,107,56,114,138,92,59,98,118,136,173,170,170,169,168,167,185,185,185,184,180,188,199,174,179,119,74,71,133,92,51,111,130,84,66,37,66,61,107,177,168,169,168,167,186,185,186,186,182,190,198,162,177,121,108,67,139,130,48,101,158,112,67,41,65,57,69,177,168,171,171,168,186,186,187,187,184,189,189,143,166,167,144,70,167,162,49,101,203,134,69,46,106,84,90,180,170,172,172,170,187,186,187,187,182,196,211,180,149,159,112,70,167,139,43,89,189,125,67,74,138,129,83,166,175,172,172,170,188,187,186,188,186,206,198,173,146,116,79,53,89,74,90,167,133,124,133,123,131,123,74,113,184,171,173,171,188,188,191,189,190,202,180,154,124,102,91,78,56,45,106,192,143,133,150,139,134,119,105,78,163,177,172,172,189,188,191,187,194,218,197,173,147,99,75,69,65,69,63,135,145,128,143,134,115,145,140,82,118,185,170,173,189,189,191,189,198,218,197,180,141,94,82,72,64,65,71,93,102,113,132,81,116,169,154,110,76,180,174,173,192,192,193,190,205,217,200,182,133,92,91,75,66,72,89,102,110,136,150,133,129,167,163,117,59,151,182,174,192,193,193,190,207,215,200,161,130,104,90,78,63,97,135,162,171,174,164,172,143,123,135,107,58,114,186,172,192,193,194,191,205,215,196,161,141,97,85,95,127,169,180,180,170,168,152,139,145,104,100,93,68,86,186,172,194,194,194,194,209,213,193,165,147,119,117,144,169,184,177,176,166,156,144,128,129,105,90,90,73,69,184,174,194,194,196,191,195,211,196,172,161,131,132,162,160,189,174,168,159,152,140,124,113,99,85,84,50,100,187,175,195,196,199,108,80,107,155,185,157,133,123,156,155,167,165,158,159,143,118,109,102,83,72,50,73,179,179,178,195,206,168,60,65,55,60,76,76,73,82,121,141,153,155,153,145,124,104,100,84,70,44,58,171,185,180,180,197,205,106,62,62,62,62,27,12,34,32,38,60,88,115,144,133,116,99,83,67,40,56,167,187,179,182,181,210,158,59,66,58,58,60,49,3,26,33,30,27,23,28,55,81,89,75,57,32,67,172,190,182,184,183,182,202,93,59,58,51,50,57,55,2,12,28,30,27,25,22,17,19,34,34,26,94,184,190,184,185,184,184,183,142,59,67,51,46,51,56,46,0,10,23,26,22,20,24,23,22,21,0,76,208,186,186,187,185,185,185,183,76,62,42,74,72,29,63,26,0,13,23,22,18,20,20,18,22,15,3,8,156,199,186,188,187,186,185,184,60,53,40,66,95,44,48,4,1,16,18,17,14,17,17,18,20,7,8,0,97,207,186,190,187,186,186,185
7,117,125,137,157,166,173,178,180,181,185,187,188,189,189,191,191,192,191,191,189,188,188,187,186,184,183,181,179,117,126,139,159,168,174,179,181,183,186,188,190,191,191,193,193,193,193,193,191,190,190,189,187,186,185,183,181,118,127,140,159,169,175,180,182,185,187,189,191,192,193,194,194,195,195,194,193,193,191,190,189,187,187,185,183,120,128,141,160,169,176,181,183,185,188,191,192,193,195,195,197,196,196,196,194,194,193,191,190,189,189,187,185,121,129,142,161,170,177,182,185,186,189,192,193,194,195,195,197,197,197,197,195,194,194,193,192,191,190,188,187,122,130,143,162,170,177,183,185,187,190,193,194,195,196,196,198,200,200,200,200,200,198,197,194,192,191,189,187,123,130,143,163,171,179,183,185,187,190,194,196,198,200,199,199,197,195,191,182,181,182,190,197,194,192,191,189,123,131,144,163,172,179,184,189,189,190,190,189,182,176,169,152,153,156,149,142,176,179,158,201,195,194,193,191,124,131,146,164,172,179,183,173,165,161,163,162,150,144,140,127,137,130,132,134,143,139,151,192,198,195,192,191,125,131,147,164,170,185,175,145,146,152,151,149,144,137,137,136,132,138,138,134,129,123,135,152,164,198,193,192,125,133,146,165,182,185,165,136,126,127,132,140,149,153,154,140,124,146,142,129,125,116,125,139,134,196,195,193,126,129,154,182,181,171,164,153,148,150,160,161,156,151,144,125,115,121,115,109,111,113,118,133,170,200,194,194,120,147,184,181,174,175,163,148,144,148,153,144,140,134,117,111,125,143,160,174,186,192,198,202,203,199,196,194,148,190,185,179,178,167,149,118,119,129,120,108,103,112,163,191,201,211,212,211,209,206,205,202,201,200,197,195,191,189,181,180,163,151,137,110,110,103,89,84,89,93,98,158,214,203,204,204,205,204,204,203,202,200,198,196,184,183,184,170,155,147,141,133,114,99,101,104,101,98,82,113,213,205,207,207,206,206,205,204,203,200,200,197,182,184,171,153,147,143,152,156,123,101,104,103,101,100,94,98,199,210,207,207,207,206,206,205,203,200,199,197,182,168,149,140,139,137,140,133,105,93,86,89,96,99,89,89,190,212,207,208,207,206,206,205,203,201,199,198,163,148,143,142,139,129,121,112,101,90,90,105,110,100,99,189,210,208,208,208,206,206,205,205,204,202,200,198,146,145,141,134,125,115,110,118,118,105,102,99,96,99,165,213,205,206,207,206,205,205,204,203,201,200,199,197,145,137,126,121,118,117,122,131,119,95,102,133,162,194,209,204,206,207,205,205,205,205,204,203,201,200,198,195,139,132,128,128,124,117,113,107,96,125,183,206,208,206,204,205,205,206,205,205,205,204,203,203,201,199,196,192,113,112,116,113,108,105,106,129,165,195,200,198,199,203,204,205,205,205,206,206,205,205,204,203,201,200,198,198,91,87,64,90,162,162,180,194,198,194,197,201,202,203,204,205,206,204,205,203,202,201,199,197,197,197,194,157,92,86,42,92,174,158,158,153,152,152,152,150,149,149,150,150,146,144,144,142,140,137,134,135,123,106,92,65,84,63,41,95,129,122,124,125,125,126,125,125,126,125,126,124,124,125,123,121,121,120,121,108,73,55,52,49,42,38,48,110,136,132,131,131,131,131,131,131,131,131,131,130,130,131,130,127,127,119,89,63,55,54,50,44,51,66,73,100,133,130,130,130,131,131,131,131,131,130,130,130,127,126,126,126,107,76,51,51,49,47,47,43
20,146,148,150,154,157,159,162,163,166,170,169,169,171,172,175,175,160,177,183,182,181,183,184,183,184,184,185,185,146,150,153,156,157,161,165,165,168,171,171,172,174,173,179,189,124,149,161,174,185,184,185,184,185,185,185,185,148,151,156,159,160,163,165,167,169,171,173,176,177,173,185,195,131,166,139,131,193,184,187,186,186,185,185,186,148,152,156,159,160,164,167,169,170,172,175,175,177,177,188,188,137,189,158,118,190,186,188,188,188,187,188,188,151,153,156,160,162,164,168,170,172,175,175,176,180,176,197,202,149,188,161,118,187,188,188,189,189,189,188,189,150,155,159,161,164,165,168,170,173,174,176,178,180,176,208,200,156,202,169,121,187,191,189,190,189,189,189,190,151,156,160,162,165,167,170,173,174,176,177,179,184,178,207,181,160,205,167,118,186,193,191,191,191,191,192,192,153,157,160,163,165,167,171,174,177,176,184,153,151,188,204,162,158,202,158,115,188,196,194,194,194,194,194,193,153,157,161,163,166,170,172,175,176,183,186,160,104,151,207,156,164,204,150,116,191,196,194,194,195,194,194,195,154,158,162,163,167,172,172,173,174,173,188,162,140,119,142,140,155,189,146,123,195,194,196,195,195,195,195,195,155,159,162,164,168,172,168,198,192,130,163,186,181,161,113,98,121,166,139,126,199,194,197,197,197,197,197,195,155,159,163,165,169,172,176,197,191,154,147,176,193,175,134,84,106,142,124,126,202,195,197,197,198,197,197,197,157,161,165,167,170,172,181,186,162,177,122,84,158,196,165,111,104,121,107,126,205,197,199,198,198,199,199,199,156,161,165,167,170,173,181,193,130,126,111,75,111,206,191,142,93,108,101,122,205,197,200,200,200,199,199,199,157,161,165,168,170,172,181,191,166,150,125,104,114,184,214,169,110,97,95,121,206,199,201,201,202,201,200,200,157,162,167,167,172,172,186,213,177,145,125,118,134,166,226,182,138,98,85,114,207,199,202,202,202,201,201,200,158,163,166,168,173,172,193,206,159,136,130,138,146,194,218,183,151,103,78,115,209,199,202,202,202,201,201,201,159,164,168,170,173,171,197,206,169,148,149,141,169,235,207,171,151,105,74,121,209,200,202,202,202,202,202,202,159,165,169,171,174,171,199,212,174,155,152,152,197,238,207,169,146,114,75,135,210,200,204,204,204,204,202,203,160,166,169,171,175,172,197,217,185,158,153,173,209,220,200,173,145,114,74,148,211,200,205,204,204,203,202,202,160,165,168,170,175,172,197,220,184,173,162,177,219,208,191,172,138,115,76,169,210,201,204,204,204,203,203,203,161,165,169,172,174,174,195,220,190,188,174,175,220,206,187,173,135,107,80,184,208,202,204,204,204,204,203,203,161,166,170,172,174,176,185,216,202,199,193,174,207,196,182,170,138,101,81,183,209,204,204,204,204,204,204,203,161,166,170,171,175,181,179,204,208,202,196,182,189,194,175,170,135,103,84,188,209,204,205,204,204,204,204,204,162,166,169,172,175,181,178,195,211,198,183,176,183,186,168,179,143,100,98,200,205,205,205,206,205,205,205,205,161,167,169,171,175,181,178,195,207,184,175,163,176,185,166,180,144,96,120,211,203,206,206,206,205,205,205,205,161,166,167,171,174,180,181,197,203,179,174,164,174,190,161,176,135,88,153,213,202,206,207,207,206,205,205,205,161,166,169,173,174,181,179,200,215,196,184,172,177,192,151,166,125,89,185,209,204,207,207,207,207,206,206,206
4,73,81,99,112,119,125,130,135,138,142,143,145,149,151,155,158,159,161,163,163,164,166,167,168,168,168,169,170,74,83,101,114,120,128,131,136,140,142,145,148,149,152,154,157,162,164,164,168,167,168,168,170,171,170,171,172,75,86,104,115,121,127,132,137,142,144,142,145,150,156,163,156,142,155,164,152,164,173,170,172,174,173,174,174,77,85,106,116,122,128,134,139,143,142,163,165,143,147,196,168,107,80,143,114,89,168,176,172,175,175,175,175,77,89,108,116,125,130,134,137,149,150,148,181,178,114,141,157,99,55,91,115,61,125,185,172,176,176,176,175,77,92,110,117,125,130,137,135,179,176,141,121,136,105,86,132,89,50,109,122,57,108,188,173,177,178,178,178,78,94,112,119,127,132,134,152,194,187,162,125,73,71,82,165,98,60,149,104,38,121,188,175,178,180,180,181,79,96,113,119,127,133,129,174,172,145,155,100,63,54,76,149,109,145,152,107,48,141,186,177,180,181,182,182,80,99,115,119,127,135,131,183,148,128,149,73,51,63,44,97,140,162,133,135,98,129,189,179,181,182,183,184,82,100,115,121,128,135,137,196,163,147,135,85,39,98,127,139,143,129,123,151,130,103,145,192,183,184,184,185,84,104,116,123,130,131,148,198,149,123,113,87,21,105,144,122,122,82,118,167,152,141,94,151,193,183,186,186,86,106,117,123,131,129,159,190,137,109,89,58,27,31,68,78,65,62,115,151,167,153,117,84,167,190,187,187,88,107,117,124,133,127,179,199,151,124,105,78,48,34,40,43,91,170,166,161,156,137,131,87,108,196,186,189,89,108,117,125,133,128,197,195,152,140,111,79,61,59,96,148,185,192,173,160,138,106,109,84,109,197,187,191,90,109,118,125,132,133,208,196,173,149,110,91,74,87,161,190,195,194,175,147,126,93,85,74,156,195,190,191,90,110,119,125,131,137,218,200,177,142,110,106,81,129,183,185,194,189,164,135,110,89,68,99,195,189,191,192,94,111,120,127,132,137,213,201,171,139,122,122,104,154,180,180,188,178,150,123,102,83,61,158,199,190,193,194,97,112,120,128,135,138,211,198,167,152,150,133,129,164,176,184,175,158,135,111,97,69,99,197,190,192,193,195,96,113,120,128,135,138,197,197,180,170,160,138,141,168,174,174,156,138,120,100,86,63,165,198,191,193,195,195,99,112,119,128,137,134,181,204,193,179,158,135,121,150,159,154,139,123,108,94,65,109,199,192,194,194,197,196,101,113,119,128,137,136,166,204,182,173,155,129,111,134,144,140,124,109,98,81,69,178,196,195,196,196,197,198,103,115,120,129,137,140,154,198,171,154,142,118,119,132,145,139,120,102,92,61,135,200,192,196,197,198,198,198,105,113,121,130,138,142,149,186,156,147,134,122,141,127,128,132,110,93,71,82,192,194,194,196,198,199,198,199,105,114,123,131,138,144,147,189,160,155,142,146,153,128,112,119,102,85,60,143,201,191,194,195,199,199,200,201,105,114,124,132,139,141,181,182,180,159,150,148,138,122,104,106,96,81,63,176,197,192,195,198,199,199,200,201,107,115,123,133,132,162,199,177,151,158,158,145,126,115,97,93,85,76,58,174,199,193,197,199,200,200,201,202,108,114,124,131,139,200,184,191,162,103,143,136,119,109,83,82,81,71,59,176,197,196,198,198,200,201,202,202,109,116,128,127,168,199,180,183,199,143,82,112,114,102,74,79,77,67,54,172,197,197,199,200,201,201,202,202
10,93,100,112,118,123,127,131,133,136,139,140,143,144,145,146,149,151,153,154,155,156,159,159,160,160,161,163,164,93,102,113,119,123,128,131,133,138,140,141,144,145,146,148,150,136,150,155,156,158,160,160,161,162,163,164,165,95,104,115,120,124,129,132,134,139,141,142,144,147,149,153,159,119,135,157,157,159,161,162,163,164,165,165,165,98,107,117,122,126,130,133,136,139,141,143,145,148,150,158,164,122,120,157,158,161,162,163,164,165,166,167,167,99,107,117,123,127,130,134,138,140,143,145,147,149,151,158,165,130,111,157,159,162,164,164,165,167,168,168,169,99,109,119,124,127,132,136,138,140,143,145,147,149,152,155,167,140,110,153,161,163,165,166,166,168,169,169,170,100,110,120,124,128,134,137,138,141,144,145,154,137,137,156,173,152,112,144,163,163,165,165,166,169,169,170,171,102,112,120,125,130,135,138,140,143,144,148,158,132,101,150,171,156,117,129,165,164,165,166,168,170,170,171,172,104,114,121,125,130,135,138,142,145,146,153,152,128,87,133,167,153,118,119,165,166,167,167,170,171,171,172,172,105,116,123,126,130,140,136,128,123,125,141,160,139,102,112,166,141,116,110,165,167,168,168,171,172,172,173,173,105,115,123,127,129,144,123,94,80,80,88,141,153,116,90,151,124,112,103,162,167,169,171,172,173,174,174,174,107,117,123,128,131,133,115,90,75,81,84,111,155,129,88,130,105,106,97,158,169,171,172,173,174,175,175,175,108,117,123,127,132,136,135,130,120,98,83,97,155,140,94,103,88,99,92,150,171,171,172,173,175,176,176,176,108,118,123,129,133,138,140,160,165,115,71,109,164,147,102,76,81,96,93,139,172,173,174,173,174,175,176,176,110,119,124,129,135,138,141,164,166,119,65,105,176,149,111,73,79,94,93,124,174,173,174,174,175,176,176,176,111,120,124,130,134,148,160,163,171,125,60,114,185,150,116,78,78,91,90,109,173,175,175,175,177,178,178,178,113,121,125,130,132,157,174,160,165,125,68,147,176,149,112,78,71,85,85,98,172,175,175,176,176,178,179,179,113,122,126,131,133,147,171,153,155,129,126,182,164,148,112,80,72,81,78,110,175,174,175,176,178,178,178,179,113,121,126,130,134,139,151,136,143,149,178,185,160,143,117,85,75,78,75,141,175,175,176,177,178,178,178,179,114,121,125,130,135,138,149,135,146,176,194,182,160,136,114,89,76,72,86,164,174,175,177,178,179,179,180,180,116,122,125,129,135,139,160,161,145,171,194,176,155,133,113,90,75,68,110,174,174,175,177,178,179,179,180,180,117,122,126,130,136,138,171,176,146,156,190,175,155,130,113,92,75,69,138,175,174,175,176,179,179,179,179,180,117,122,127,132,137,139,177,182,161,171,186,173,156,131,114,94,75,81,162,173,174,176,178,179,179,180,180,181,116,121,126,132,136,140,183,190,169,176,184,173,157,133,115,95,72,108,173,174,175,177,179,180,180,180,180,181,117,121,126,132,137,140,182,188,174,176,179,177,166,137,115,94,72,138,174,174,175,176,178,179,180,181,181,182,117,121,126,132,136,140,175,180,169,176,175,178,171,140,113,90,83,161,173,174,176,177,178,179,180,181,182,182,117,121,127,133,137,141,166,170,169,176,176,178,169,138,110,84,108,172,174,175,176,178,180,180,181,181,181,182,118,122,128,133,137,141,157,168,176,182,175,174,165,135,107,81,138,174,173,175,177,178,180,180,181,181,181,183
0,164,164,166,166,166,166,166,167,166,167,166,166,166,166,166,166,166,165,165,164,165,165,163,162,162,163,162,161,165,166,166,167,167,167,167,167,167,166,166,168,167,167,168,167,166,166,167,166,165,166,165,162,163,164,164,163,167,168,169,169,169,170,169,169,168,169,169,168,168,168,169,171,168,167,168,169,167,162,157,166,164,165,164,164,169,171,170,169,170,170,170,171,170,169,170,171,170,170,157,144,162,166,149,139,164,167,118,163,166,165,165,165,170,170,170,170,171,171,172,172,171,171,163,149,164,180,160,130,112,155,146,128,115,152,127,130,173,165,165,165,170,171,171,171,172,172,172,172,172,184,167,134,140,182,161,147,109,150,152,145,110,102,157,116,142,168,168,167,170,172,172,173,173,172,175,156,150,188,170,153,141,179,161,153,108,154,155,141,117,80,143,144,117,122,170,167,170,172,172,173,171,177,187,168,132,164,184,156,134,184,167,149,99,160,153,125,122,66,106,157,140,94,151,172,172,173,174,175,172,184,185,178,160,131,186,160,124,181,171,145,97,138,143,110,110,58,115,166,152,105,138,175,173,174,174,174,178,179,177,184,165,115,168,167,119,160,171,134,96,98,122,104,96,60,143,169,153,107,131,178,172,173,174,173,179,168,140,161,145,104,139,155,114,125,145,114,100,74,94,109,88,78,153,165,149,105,124,178,173,174,175,174,177,180,148,152,127,90,116,135,105,95,120,104,88,65,121,152,135,132,147,155,144,101,121,179,174,176,177,176,179,188,165,156,128,101,105,121,106,81,105,117,115,148,170,160,153,144,130,135,138,105,113,179,176,177,178,176,184,184,162,145,132,113,87,127,127,72,109,167,178,180,169,157,147,138,125,117,125,110,108,177,176,177,178,175,189,196,180,165,146,121,101,124,122,127,174,186,181,173,165,154,144,132,118,111,113,103,120,178,178,177,179,177,190,198,185,169,152,147,147,144,159,183,187,181,176,167,161,151,138,124,111,107,110,97,155,178,178,178,180,177,194,202,187,170,157,154,153,163,175,179,184,180,170,166,155,143,134,118,107,111,99,136,179,175,178,179,181,179,195,205,192,179,170,162,163,173,179,182,182,173,167,163,147,136,125,112,110,101,113,179,177,177,178,179,181,178,193,206,197,185,173,166,165,174,182,181,175,165,159,155,141,128,117,111,107,96,160,181,176,177,179,179,181,179,189,205,203,192,176,165,160,164,169,166,167,155,144,144,129,119,116,109,96,145,182,177,178,178,180,181,182,182,183,200,198,188,176,164,158,163,165,167,165,152,138,136,121,114,109,103,146,181,177,179,180,178,181,181,182,183,181,190,189,177,168,155,158,163,159,166,160,149,141,132,118,104,105,159,183,179,179,179,180,179,181,182,183,183,183,187,178,175,171,163,172,166,148,161,159,144,133,125,109,93,159,185,179,180,179,179,180,180,182,183,183,183,183,186,183,188,182,175,173,167,142,153,159,140,126,118,90,127,188,179,182,182,181,181,181,180,182,183,183,183,183,188,197,194,186,168,166,164,137,152,148,135,123,108,90,165,187,181,183,182,181,181,182,181,182,183,184,184,183,182,203,195,184,161,163,160,141,146,138,132,121,98,100,181,183,183,183,182,181,182,182,182,183,183,184,184,184,179,198,189,178,158,164,166,139,133,137,128,120,95,109,189,182,184,183,183,183,183,182,181,182,183,183,184,183,181,197,182,172,157,164,163,131,138,135,125,117,94,111,188,183,184,184,184,183,183,183,182
2,202,201,201,202,202,201,201,200,198,197,195,195,194,192,191,189,187,187,186,182,183,183,182,179,178,178,175,172,204,204,204,204,204,204,203,202,201,201,198,197,195,195,193,194,192,191,189,192,187,185,184,183,180,178,177,175,208,207,208,208,208,206,204,204,203,202,201,200,199,200,197,191,183,173,132,153,186,187,189,184,184,180,179,178,210,210,210,210,209,208,207,206,206,206,203,203,196,189,184,173,149,121,79,63,131,150,141,190,185,183,181,179,212,212,211,212,212,211,210,209,208,208,208,201,184,179,174,136,92,67,51,62,99,113,75,174,189,184,185,182,214,215,214,214,213,213,212,212,212,211,208,191,189,168,121,60,45,46,40,43,57,66,49,92,197,187,186,185,216,217,216,216,216,216,214,214,213,212,199,196,173,103,56,39,31,42,39,29,37,46,39,118,201,189,188,186,219,219,218,220,219,219,217,215,216,209,199,193,132,54,48,39,41,33,37,66,65,71,106,190,197,192,191,189,222,221,222,221,220,220,219,218,219,204,201,173,94,49,47,42,38,66,139,198,191,195,204,200,196,195,193,190,224,224,224,224,224,222,221,222,213,201,193,130,57,38,49,38,136,209,213,207,207,205,201,200,199,197,194,192,224,224,225,226,226,225,226,218,199,212,186,112,65,48,44,60,213,212,206,207,207,206,204,203,200,200,197,194,227,226,227,227,226,226,229,199,207,218,174,110,77,56,30,147,222,209,211,210,210,208,205,205,202,201,199,197,228,228,230,229,227,230,219,194,220,204,162,112,72,45,80,222,215,216,215,214,211,210,207,207,204,202,200,199,229,229,231,231,230,232,202,200,229,194,144,96,61,37,121,234,214,218,218,216,212,210,209,208,205,203,202,201,231,231,232,231,232,227,190,218,228,175,134,95,61,36,157,234,217,219,218,216,214,211,208,210,211,208,203,202,234,233,233,231,237,209,200,235,213,153,129,91,54,46,212,226,220,220,219,217,214,215,216,206,189,190,210,202,234,234,234,235,234,195,224,230,186,146,138,88,54,38,162,238,223,220,218,217,224,207,164,138,128,115,147,207,234,234,234,240,216,206,233,209,164,160,134,80,46,50,61,125,221,226,226,222,178,118,109,125,126,95,112,206,237,236,236,237,205,220,222,194,162,156,120,68,41,53,71,58,122,230,188,138,102,99,129,125,87,136,206,208,238,237,241,225,208,218,213,184,159,146,99,55,48,69,74,75,71,94,89,98,115,115,105,75,153,218,211,207,241,240,240,212,216,215,203,171,152,128,86,51,69,84,82,81,81,68,90,105,98,81,68,154,224,212,211,210,241,243,227,217,220,212,191,165,138,116,80,58,84,84,82,81,78,72,78,71,88,148,199,224,215,217,214,212,242,235,219,224,221,209,189,148,118,113,74,67,83,81,76,74,64,45,64,144,210,234,223,216,218,217,216,213,244,219,219,208,213,203,168,129,111,96,62,71,78,80,74,50,68,121,197,236,228,223,223,223,221,219,217,214,227,212,200,205,200,181,140,99,84,66,65,70,70,60,39,93,211,243,234,227,227,226,225,224,220,218,217,215,216,208,188,197,183,167,125,85,77,66,55,40,44,67,148,236,237,231,230,229,229,227,226,225,223,218,218,217,216,199,190,198,190,173,108,83,76,57,81,142,185,227,248,236,233,234,231,230,228,227,226,225,224,220,219,217,211,195,189,197,187,161,92,80,63,88,224,253,248,238,232,235,234,231,232,231,228,226,225,224,222,220,219,216
5,83,88,95,102,108,115,120,123,126,130,133,137,140,143,145,148,153,136,136,154,157,158,159,159,159,160,160,160,84,89,96,103,109,116,121,124,127,131,135,138,142,144,147,152,158,124,124,154,158,159,160,160,161,162,162,162,85,90,97,104,111,117,122,126,129,133,141,134,139,146,149,160,150,106,127,156,159,160,162,162,163,163,164,163,86,92,99,106,113,118,124,128,130,139,152,121,127,148,154,168,131,98,140,160,161,163,164,164,164,164,165,165,88,93,99,107,115,121,124,129,132,148,148,107,127,151,164,167,116,109,153,163,164,165,166,166,166,166,167,167,89,94,100,108,123,130,117,128,135,157,132,100,135,156,173,148,106,128,162,165,166,167,167,168,168,169,169,169,90,95,101,109,134,139,106,125,140,162,123,107,144,166,166,118,106,147,165,167,169,168,163,168,170,170,170,170,91,95,102,110,141,153,108,124,144,150,112,118,153,176,153,105,118,160,167,173,181,172,148,161,172,172,172,172,91,96,103,112,142,175,127,123,147,141,110,130,162,179,146,110,137,168,178,180,179,177,142,155,173,174,174,174,92,97,105,114,136,187,169,143,148,143,120,134,166,168,132,117,153,177,183,160,158,170,129,153,175,176,176,176,93,98,106,114,128,181,204,185,158,138,120,125,151,145,123,132,170,181,156,122,146,163,116,146,177,178,178,178,94,99,107,115,124,153,196,207,176,135,109,105,116,116,123,151,175,168,132,109,153,160,110,129,175,180,179,179,94,99,108,117,125,134,167,207,184,141,107,92,93,97,118,149,152,136,113,125,169,159,112,114,170,181,181,182,94,100,109,118,126,132,148,200,192,151,119,96,88,90,106,129,128,108,109,155,184,168,122,115,169,183,183,183,95,101,110,119,127,132,145,199,201,164,135,106,88,86,96,113,115,104,134,173,188,174,129,122,173,185,185,185,96,102,111,121,129,133,147,203,209,177,148,114,89,85,94,115,130,137,157,167,180,171,128,126,176,186,186,186,96,102,113,122,129,135,147,202,214,186,154,116,89,84,101,133,156,164,162,148,152,157,123,131,180,187,187,188,96,104,114,123,129,135,146,198,217,190,158,122,94,88,115,151,165,165,155,134,122,123,109,136,183,188,189,190,97,105,115,124,130,136,143,188,215,191,164,132,104,102,127,152,159,153,141,120,104,100,103,148,186,189,191,191,97,106,116,125,131,136,141,180,212,194,167,137,108,107,131,144,145,133,124,108,97,101,132,174,190,191,192,193,98,106,116,125,132,138,141,180,214,192,158,128,106,100,119,128,126,114,107,100,106,138,174,189,192,193,193,193,98,107,117,126,133,139,142,183,210,179,142,115,101,98,107,114,111,100,96,108,146,179,189,191,193,194,194,193,98,107,118,127,134,140,145,187,205,172,137,110,105,105,102,104,98,92,104,146,181,190,192,193,194,194,195,194,99,108,119,127,135,144,165,195,199,173,140,113,111,110,98,94,88,98,142,180,190,192,194,194,195,195,195,195,100,108,119,128,138,166,201,210,192,165,136,115,111,105,91,84,84,129,177,189,192,194,195,195,196,196,196,196,100,108,119,129,155,195,215,214,199,174,137,113,104,96,85,78,94,160,188,190,193,195,196,196,196,197,197,197,99,108,118,139,184,207,211,204,193,182,161,133,105,89,79,74,101,170,188,190,192,195,196,196,197,197,197,198,99,108,120,158,201,207,204,193,185,175,168,152,119,94,84,77,94,157,185,189,192,194,195,196,197,197,197,197
12,149,150,151,153,154,154,155,156,155,156,156,157,156,158,158,157,157,158,159,158,157,158,158,158,157,156,156,155,151,152,153,153,154,155,156,158,157,157,158,158,157,158,158,160,159,160,160,159,159,159,159,158,158,158,157,156,153,153,154,155,156,156,157,159,158,158,157,159,160,163,161,153,160,160,160,161,160,159,160,160,159,159,159,158,154,155,156,157,157,158,158,159,158,162,169,159,157,180,172,136,124,167,164,146,157,161,160,161,160,160,160,160,154,155,156,158,159,160,159,159,162,193,189,156,138,187,176,131,81,155,171,127,117,165,162,162,162,161,162,161,155,156,158,159,160,161,161,157,166,199,191,153,134,189,174,139,80,158,157,124,82,150,168,161,162,162,162,161,155,157,159,160,160,162,161,158,172,195,189,156,129,192,170,145,105,169,148,108,73,128,173,162,164,164,164,164,157,159,160,160,161,159,169,188,157,156,180,181,118,178,186,137,119,171,156,107,65,117,173,163,165,165,164,164,158,159,161,162,163,160,192,192,153,117,149,156,101,157,179,104,119,182,136,93,62,112,172,164,166,166,166,165,159,161,161,163,160,172,199,191,171,116,125,122,69,91,109,80,127,148,91,71,65,106,175,165,167,167,166,165,160,162,162,163,161,183,197,193,173,136,103,112,71,58,60,143,168,150,112,108,97,112,177,166,168,168,166,166,162,162,164,164,161,189,177,185,178,150,112,72,94,77,140,196,191,174,145,141,122,118,177,168,169,168,168,167,162,164,164,164,165,197,192,166,171,153,118,79,76,123,199,195,188,173,150,131,109,101,174,170,170,168,168,168,164,165,166,163,175,199,195,160,158,155,127,98,67,179,199,195,188,173,152,124,98,101,176,171,171,170,169,170,164,166,168,164,176,199,196,182,148,143,158,131,99,199,197,196,188,172,141,120,93,101,178,171,172,172,171,171,164,166,168,167,170,199,197,181,156,133,138,149,168,199,196,196,188,166,140,118,96,89,174,174,173,173,172,171,165,166,168,166,173,199,199,187,174,168,143,176,192,199,192,192,188,161,145,113,91,87,174,176,173,173,173,172,167,167,169,167,176,199,199,195,185,182,166,175,184,199,190,187,181,165,139,110,81,106,183,173,176,174,174,174,167,168,170,169,174,199,199,197,190,182,171,174,175,195,186,177,171,165,127,101,73,148,182,174,176,175,175,175,168,169,170,172,171,197,199,198,192,177,165,174,174,188,180,169,168,154,116,83,93,181,176,176,176,176,176,176,168,169,170,173,170,187,199,196,189,172,160,168,172,182,178,168,159,135,101,68,146,185,177,177,177,176,176,176,171,173,175,178,174,188,199,184,177,170,165,172,176,189,180,163,147,121,75,101,184,177,180,178,177,177,178,177,162,152,143,136,122,118,117,100,94,94,89,93,86,87,83,78,78,75,57,149,194,181,180,180,179,179,179,179,114,105,100,97,83,73,71,67,59,51,46,44,32,30,32,29,26,27,31,50,96,170,181,178,178,178,178,178,111,100,103,96,87,79,76,70,62,56,53,47,38,36,35,33,30,28,26,23,10,155,185,177,178,177,177,177,132,97,102,96,86,80,72,68,61,54,50,44,36,35,36,34,28,26,28,13,85,191,177,179,178,178,178,177,147,98,101,93,86,79,70,65,59,53,49,43,37,36,36,33,28,23,25,13,151,190,179,181,179,179,180,179,156,101,99,94,88,79,73,65,59,51,46,44,38,36,35,32,28,24,24,27,171,185,183,182,181,180,180,180
8,145,155,160,167,174,179,183,187,190,195,198,200,202,203,205,206,206,207,207,207,208,207,207,207,207,206,206,205,149,158,164,172,178,184,189,190,198,200,203,205,207,208,208,208,209,210,210,210,210,209,208,209,208,206,207,206,156,164,169,177,186,191,194,217,186,205,210,212,213,214,215,214,213,214,217,216,215,214,213,213,211,210,209,208,159,169,173,181,191,195,202,245,154,189,223,218,220,220,221,222,221,220,221,221,220,218,218,217,216,215,214,212,163,172,177,186,194,199,213,255,149,173,232,224,227,228,228,228,229,228,226,226,229,227,223,224,222,222,221,218,168,176,181,190,200,203,218,255,148,170,240,230,233,235,237,234,232,235,238,237,219,225,234,229,228,228,227,223,173,180,185,195,204,208,219,255,157,170,245,235,238,235,233,243,255,191,190,255,216,160,226,239,235,235,233,230,177,183,191,200,208,214,225,255,174,160,248,239,252,255,188,224,255,201,148,225,232,168,169,248,240,241,239,236,181,186,196,206,215,219,230,255,199,167,241,244,255,255,255,246,219,211,225,252,187,135,137,227,250,244,243,242,183,190,200,211,220,224,230,255,232,203,230,255,255,255,255,233,216,221,231,232,194,137,92,198,255,246,248,246,187,194,204,215,224,230,232,255,241,230,255,255,243,215,255,239,208,223,198,181,210,165,95,211,255,251,251,250,191,197,208,218,226,235,235,255,255,238,255,255,248,179,226,255,170,140,132,193,232,184,125,237,255,255,255,252,195,201,212,223,231,239,238,255,255,212,247,238,227,205,188,255,180,101,84,243,255,210,135,193,255,255,255,255,198,204,214,226,233,241,242,255,255,208,189,233,183,187,182,227,210,157,91,212,255,235,159,128,255,255,255,255,200,206,219,229,236,244,247,255,255,248,159,188,190,170,194,221,229,160,211,255,255,236,173,108,222,255,255,255,200,208,222,232,241,248,252,255,255,255,196,152,211,177,224,255,232,208,255,255,240,193,165,118,224,255,255,255,203,212,225,234,242,249,255,255,255,255,228,166,174,189,233,255,255,255,255,255,225,177,141,129,255,255,255,255,208,214,228,238,244,250,255,255,255,255,255,200,164,191,221,255,255,255,255,247,202,165,115,172,255,255,255,255,207,214,229,239,247,253,255,255,255,255,255,224,188,196,211,255,255,255,255,229,186,153,108,239,255,200,154,104,208,215,230,240,249,255,255,255,255,255,255,238,218,204,205,252,255,255,253,209,172,141,111,134,92,69,73,80,209,217,231,243,250,255,255,255,255,255,255,252,236,227,191,231,255,255,243,193,164,132,93,61,70,72,68,83,210,220,234,244,252,255,255,255,255,255,255,255,244,240,187,224,244,255,228,182,152,124,78,60,63,80,59,67,210,220,235,245,252,255,255,255,255,255,255,255,250,233,187,190,235,233,212,166,141,103,76,62,45,72,75,57,208,219,234,244,251,255,255,255,255,255,255,255,252,224,190,164,216,213,192,157,133,69,55,80,48,52,77,67,210,222,235,244,251,255,255,255,255,255,255,255,255,225,192,162,187,206,175,148,115,42,35,71,70,43,61,72,211,223,236,245,252,255,255,255,255,255,255,255,246,216,193,165,172,185,166,133,97,57,23,48,76,60,45,68,211,222,237,246,254,255,255,255,255,255,255,255,222,222,204,173,162,171,167,118,70,78,26,31,65,75,50,53,207,218,229,238,247,255,255,255,255,216,255,255,236,245,216,175,155,162,162,99,45,78,44,20,51,75,63,52
1,143,145,148,150,151,153,154,154,153,154,155,156,156,156,156,156,157,157,157,157,157,157,158,156,155,155,155,155,147,149,151,154,155,155,156,157,157,158,159,159,159,159,158,159,161,159,147,159,160,160,160,160,159,158,159,158,151,152,155,158,158,159,159,160,161,162,163,163,163,165,140,156,172,165,104,157,163,163,162,162,162,161,160,159,154,156,160,161,162,162,164,164,164,164,165,165,171,177,116,145,176,156,95,159,159,164,166,165,164,163,162,161,158,160,164,165,166,167,168,167,168,169,169,167,180,172,108,152,178,142,101,163,138,131,169,168,167,166,165,165,162,164,168,169,171,171,171,170,172,172,166,139,175,161,107,163,179,130,111,170,141,103,172,171,170,169,168,167,165,167,171,172,173,174,175,175,176,183,163,115,154,151,110,172,186,133,129,180,141,100,174,174,173,173,172,171,168,171,173,174,175,178,179,178,179,189,156,110,147,151,118,173,176,129,141,184,134,104,177,177,176,175,174,174,171,174,175,177,179,182,180,180,181,190,145,113,139,136,114,162,161,121,153,186,135,111,181,181,179,178,177,176,173,176,178,180,182,183,184,182,183,195,148,122,133,134,98,171,158,116,171,183,135,121,186,184,182,181,181,180,176,179,180,183,184,185,186,186,186,197,139,116,134,145,99,181,164,120,182,172,128,134,187,187,187,186,184,183,179,181,182,185,186,188,187,187,190,202,154,111,125,134,93,171,148,125,190,178,124,151,189,188,188,187,187,186,181,184,186,187,189,190,190,189,192,201,150,102,120,123,97,154,134,135,187,173,117,167,192,192,191,189,188,188,182,185,188,190,192,192,193,192,196,203,161,132,144,169,166,175,171,135,153,164,111,179,194,194,193,192,191,190,184,186,189,191,193,194,195,194,205,203,165,134,115,148,176,180,184,158,114,133,107,190,197,196,195,194,193,193,187,188,192,193,194,195,196,196,211,191,153,121,102,99,127,142,192,189,133,89,106,198,198,198,198,196,195,194,187,190,193,194,196,197,198,198,217,192,153,115,105,108,121,145,199,208,169,95,122,201,200,199,199,198,197,196,190,193,195,197,198,199,200,202,219,190,147,119,117,122,150,182,177,203,177,117,132,203,202,201,201,200,200,199,192,195,196,198,199,200,202,206,217,187,149,119,128,129,179,202,188,172,150,119,106,202,203,202,202,200,201,201,194,196,198,199,199,200,203,209,215,189,153,133,135,145,202,207,184,160,124,103,109,204,205,204,204,203,203,202,196,197,199,200,201,203,205,210,214,189,156,142,132,163,213,211,174,146,111,89,126,206,208,206,206,205,205,204,197,199,200,202,203,203,206,208,211,188,160,150,135,161,213,205,164,135,102,85,161,209,209,208,207,207,206,205,198,199,201,204,204,205,206,206,206,189,168,158,141,155,209,186,151,120,95,103,202,211,209,208,208,207,207,207,197,200,202,204,204,205,207,207,205,191,171,160,137,162,199,173,144,108,87,146,211,212,211,209,209,209,210,209,199,201,204,206,206,206,209,208,211,194,174,157,129,164,182,156,133,99,88,189,213,213,212,210,210,210,211,209,199,201,205,207,208,208,209,207,214,199,180,153,132,161,156,137,119,91,116,210,215,214,214,213,213,212,212,211,199,201,203,206,207,208,204,211,213,210,189,156,140,158,144,132,110,91,170,214,216,215,215,215,215,214,213,212,198,202,203,204,205,205,201,210,207,201,185,155,148,147,137,118,95,124,209,216,216,215,216,216,215,214,214,213
14,194,197,196,197,198,199,200,200,200,200,200,199,199,200,201,199,201,200,201,200,200,199,199,199,198,197,196,197,196,197,197,199,200,200,200,201,203,201,200,200,209,199,196,203,203,200,202,201,201,202,202,201,201,199,199,198,197,198,199,200,200,203,204,205,203,202,214,215,207,161,160,213,203,204,204,203,203,203,203,203,203,201,200,200,198,199,201,202,202,203,204,202,203,230,220,185,154,136,125,178,200,199,204,204,204,204,204,202,202,203,202,200,200,201,202,204,205,205,201,209,237,232,169,128,126,120,130,162,187,153,163,209,205,205,205,205,203,204,203,203,200,201,204,204,205,202,210,248,232,190,140,117,131,113,122,148,161,128,168,213,205,208,208,206,205,205,205,204,203,204,206,205,206,200,239,248,189,137,115,116,121,109,114,118,135,123,176,211,211,209,210,209,208,207,206,205,204,206,206,207,207,204,248,243,167,109,95,99,110,128,138,119,148,177,169,157,193,213,209,211,210,208,207,207,205,205,206,209,207,216,253,232,165,117,105,108,101,114,120,102,114,156,163,124,192,217,209,212,211,209,209,208,205,206,208,210,206,226,253,212,142,109,114,125,99,108,116,125,126,132,124,120,191,210,214,212,211,211,210,211,209,209,210,212,205,237,253,218,157,112,114,126,111,120,133,141,133,120,143,150,152,144,205,217,212,213,212,212,209,210,212,213,209,247,253,228,177,135,114,110,122,127,103,116,125,157,158,148,143,157,171,210,217,215,213,213,211,212,214,211,219,253,252,226,175,141,122,107,132,124,149,190,208,223,216,200,177,199,160,204,220,216,216,215,211,211,213,211,226,253,253,227,175,138,126,113,125,114,204,229,219,216,220,210,185,194,159,211,219,216,216,215,211,213,217,213,229,253,253,233,187,146,121,120,109,148,226,216,219,218,223,196,180,191,156,215,219,217,217,216,213,213,217,213,231,253,253,236,194,154,121,114,115,212,224,220,221,219,226,193,180,192,146,202,224,218,218,218,213,216,219,214,233,253,253,239,198,158,127,103,140,229,218,222,223,221,230,183,165,186,151,172,229,218,220,219,215,217,220,214,235,253,253,239,202,163,135,97,177,239,221,226,222,228,203,173,182,181,155,162,229,220,221,221,217,219,219,214,236,253,253,241,204,163,142,103,142,205,217,216,228,212,159,177,188,176,144,200,228,221,222,221,217,219,220,216,239,253,253,241,201,167,149,121,100,116,134,139,166,161,160,177,180,157,177,232,223,223,222,222,219,219,223,218,244,253,253,239,200,179,163,131,112,123,126,143,151,152,161,174,163,155,223,228,224,225,225,223,219,220,223,220,248,253,253,238,205,194,172,144,116,132,144,154,159,162,155,159,145,204,233,226,227,225,225,224,221,223,224,220,248,253,253,241,217,202,173,148,128,135,150,155,158,160,156,133,173,236,226,229,227,227,227,226,222,224,224,224,251,253,253,244,229,204,174,150,136,132,149,154,153,157,146,147,225,230,229,229,228,228,228,229,223,225,225,228,253,253,253,248,233,204,170,145,136,131,146,151,149,148,144,218,233,228,230,230,229,228,228,229,222,224,223,229,253,252,252,248,229,192,149,131,130,130,145,145,153,133,194,239,229,231,230,230,230,229,229,229,226,229,229,244,253,253,253,240,212,161,119,120,120,128,136,143,139,161,236,231,232,232,233,231,231,230,230,230,212,198,180,184,182,165,160,142,126,110,95,93,103,122,130,131,150,227,234,233,234,233,234,234,231,232,231,231
14,133,135,138,141,140,141,144,144,145,145,146,145,146,145,144,143,142,141,140,140,138,138,138,135,134,133,131,131,135,138,140,142,143,144,147,148,148,149,149,148,150,148,148,148,146,145,144,143,142,142,140,138,137,136,136,134,139,140,143,145,147,148,149,150,149,151,151,150,153,153,150,151,149,148,147,146,145,142,141,142,140,140,139,137,140,141,144,148,149,150,153,153,154,154,154,154,152,151,153,155,154,150,149,150,149,146,145,144,142,141,141,139,141,144,147,149,151,153,157,157,157,157,156,156,170,142,132,143,142,157,153,151,151,149,148,146,145,143,143,142,142,145,150,151,153,155,157,158,158,158,162,180,170,147,128,124,107,119,155,155,153,152,151,150,149,147,146,145,146,149,152,155,157,157,158,160,162,163,183,179,172,152,157,138,101,65,79,167,155,156,154,152,151,149,148,148,150,152,154,156,159,159,158,163,161,176,186,182,154,49,129,129,118,73,3,96,168,155,156,153,152,151,151,149,151,153,155,158,160,163,161,165,170,192,145,88,73,24,18,36,137,125,12,25,156,159,157,156,155,153,152,151,152,155,158,162,164,167,165,187,202,184,124,56,7,2,0,0,103,161,78,17,136,168,159,159,157,155,154,154,157,159,160,163,168,164,177,204,184,134,96,66,22,0,2,0,28,102,75,15,99,174,160,161,159,157,157,156,157,159,161,165,166,165,203,197,164,97,31,27,13,0,0,18,147,122,125,64,67,177,160,163,162,160,158,157,157,159,163,168,161,199,211,182,162,96,34,0,0,0,43,162,175,165,135,39,64,178,165,166,162,162,161,159,159,163,169,160,189,217,190,181,138,78,48,1,0,17,176,182,168,144,120,27,49,183,166,169,167,165,164,162,162,166,165,175,222,206,192,173,130,93,41,0,0,62,160,182,173,126,109,36,3,141,178,169,170,168,166,164,165,170,163,209,224,204,185,160,127,74,22,0,0,6,12,155,143,101,97,56,16,87,188,170,172,169,168,166,168,166,182,228,216,197,176,155,99,47,3,9,38,40,34,44,78,116,102,51,18,137,183,174,173,170,170,169,166,165,213,221,204,187,164,134,75,46,9,44,59,62,69,49,66,106,85,16,107,188,175,176,174,173,173,171,168,189,228,207,194,171,156,121,77,46,32,59,64,69,60,67,60,95,33,74,188,175,178,176,175,175,173,171,138,224,226,198,177,165,142,116,86,40,42,65,64,62,46,70,52,20,59,187,182,180,181,178,176,176,174,173,24,119,208,187,150,133,113,96,49,31,40,51,59,50,44,45,0,41,179,188,182,182,182,181,178,177,176,174,28,12,61,128,143,100,59,19,5,23,23,33,45,34,17,45,112,186,192,183,185,183,182,182,181,179,177,176,17,20,10,23,39,32,15,0,0,4,5,3,4,11,84,186,203,190,188,187,185,185,184,183,182,181,178,176,13,10,15,15,0,0,0,0,0,0,0,13,82,141,202,193,190,191,190,190,189,186,185,184,183,182,180,178,10,9,4,16,0,0,0,0,0,0,0,0,181,210,190,194,194,193,191,191,190,187,187,185,184,183,181,180,7,4,2,8,7,0,0,0,0,0,0,0,170,201,194,195,195,195,193,192,191,189,189,187,185,184,183,182,0,0,0,4,7,0,0,0,0,0,0,49,219,194,198,197,196,195,193,193,192,190,190,189,187,184,183,183,9,47,0,10,0,0,0,0,0,0,0,114,216,193,198,198,197,195,194,194,193,191,191,190,189,185,185,184
7,161,164,167,171,173,173,176,176,176,178,177,176,177,177,176,175,175,172,173,172,168,167,169,165,162,163,162,160,164,167,169,174,176,178,179,179,178,179,177,179,177,176,176,176,176,173,174,173,172,170,168,166,165,164,163,161,165,167,172,176,177,179,181,181,182,183,180,180,180,179,178,179,178,176,176,173,174,173,171,168,168,167,165,163,168,170,173,176,179,181,182,183,183,183,183,183,183,182,182,180,178,178,178,176,176,174,173,171,171,168,167,166,170,173,176,178,181,181,181,184,184,184,184,184,183,182,183,183,182,181,179,177,176,176,176,172,171,169,169,167,170,176,178,180,181,182,184,184,184,184,185,185,184,183,182,182,184,184,182,182,182,177,173,175,173,173,172,167,173,176,178,184,184,183,185,187,186,186,187,187,188,189,189,187,184,180,174,167,142,155,176,157,177,175,172,171,176,176,178,184,185,187,188,193,193,194,190,182,177,167,157,154,155,142,133,134,105,157,186,119,169,173,177,173,176,178,182,182,185,190,186,175,162,165,163,151,134,113,103,123,148,142,122,111,98,105,126,98,166,173,154,177,177,181,182,185,189,179,163,135,125,122,120,130,123,116,96,90,98,79,86,94,90,89,106,121,189,188,93,172,180,183,183,185,183,169,148,132,132,121,106,108,120,114,84,78,71,106,134,156,128,125,121,122,126,117,104,180,179,182,180,170,157,151,150,147,128,79,73,103,133,127,108,103,89,111,132,136,112,94,73,65,77,121,173,182,178,172,164,157,153,152,142,146,125,60,64,82,93,89,85,92,76,70,85,65,61,66,105,148,177,189,182,181,169,164,160,159,160,142,130,130,129,99,52,30,18,16,19,36,37,51,78,113,150,179,196,193,187,182,183,181,166,162,158,152,143,136,133,132,138,126,70,24,0,32,104,111,138,162,194,204,199,193,187,186,185,185,184,183,163,155,146,138,133,128,125,124,121,98,67,33,17,34,178,219,205,203,197,191,192,192,190,189,188,187,185,183,157,145,136,126,120,114,107,102,99,87,52,19,23,21,14,173,206,196,197,194,194,192,193,191,190,188,188,186,143,145,126,122,108,106,102,96,95,89,55,13,16,45,8,61,217,197,199,198,197,194,193,192,190,190,189,188,20,104,130,121,112,105,102,104,106,104,59,11,6,34,28,59,213,201,201,200,199,198,196,194,191,190,191,188,0,0,92,132,119,111,99,90,88,74,45,22,15,2,0,100,220,201,203,200,199,199,198,195,193,192,191,190,0,0,0,100,127,114,101,85,68,53,37,32,28,6,0,29,201,207,204,201,201,199,197,195,194,193,192,190,0,0,0,2,104,94,82,70,60,43,33,31,31,16,0,36,203,207,205,203,202,201,199,197,196,194,192,191,0,0,0,0,23,66,50,33,30,0,1,27,18,35,121,169,213,203,202,204,202,201,201,199,198,196,193,192,0,0,0,0,0,0,27,91,0,0,0,10,30,171,230,213,209,208,206,203,205,201,201,200,199,197,193,193,0,0,0,0,0,0,170,178,0,0,9,72,182,220,208,210,209,209,208,203,206,203,201,200,200,198,196,194,0,0,0,0,0,181,224,209,132,123,170,217,218,210,212,211,209,209,209,205,202,204,202,201,201,199,198,193,0,0,0,0,194,215,205,211,221,223,219,209,208,210,210,210,210,209,208,204,203,202,202,200,199,199,195,192,0,0,0,93,226,201,210,210,208,209,209,210,210,210,210,210,210,209,208,204,204,202,201,201,199,198,196,193
17,124,129,131,137,142,146,149,153,156,158,160,162,163,165,164,163,164,164,162,156,164,161,161,161,161,159,157,156,126,130,133,138,144,148,152,155,157,160,162,163,165,166,166,167,163,171,172,109,149,167,162,162,162,160,158,158,128,131,133,138,145,150,154,156,159,162,164,166,167,168,169,167,177,169,118,81,134,173,164,163,162,161,161,160,129,133,136,140,146,153,155,157,161,163,166,169,169,170,172,166,186,181,128,57,130,175,165,166,164,163,162,161,130,134,137,142,148,154,156,160,163,165,168,169,171,171,172,169,181,186,156,72,138,175,166,167,166,165,164,162,132,136,138,144,150,154,158,162,164,167,169,170,172,173,173,171,177,199,175,101,149,176,169,169,168,167,166,164,134,136,140,146,151,156,160,162,166,169,170,172,174,175,175,174,180,208,182,119,146,179,171,170,169,169,167,166,135,138,141,147,153,158,161,164,167,169,171,175,175,176,176,174,182,211,185,124,125,182,172,173,170,170,170,168,136,139,142,149,154,159,162,166,169,172,174,176,178,181,179,175,196,215,197,140,103,180,174,175,173,172,170,169,137,140,143,151,156,160,164,168,170,173,176,176,157,161,183,180,208,211,194,147,97,176,178,176,175,174,172,170,139,142,145,151,157,161,166,169,172,175,181,180,145,89,172,196,171,178,186,141,92,171,179,177,176,176,175,173,140,142,147,152,159,162,168,170,171,169,182,172,146,69,105,147,127,171,182,144,86,169,182,178,178,176,175,175,141,143,148,154,159,164,167,173,181,182,185,148,141,126,88,77,132,184,165,147,91,167,185,179,178,178,176,176,142,145,149,156,161,166,167,184,199,187,205,184,179,159,103,65,130,169,156,142,96,156,188,180,179,179,178,177,143,146,150,158,162,168,169,185,198,141,173,196,180,155,135,89,81,123,135,127,88,139,192,181,182,181,180,179,144,147,151,158,163,169,172,177,190,154,91,112,146,163,162,129,77,67,94,104,83,129,194,182,183,183,181,180,145,147,153,159,164,170,175,176,192,172,117,53,88,137,178,153,118,81,66,87,74,137,196,183,185,184,182,181,146,148,153,161,166,172,175,179,204,184,198,94,83,150,191,161,137,111,68,65,59,144,196,184,186,185,184,182,148,149,154,161,167,173,177,177,214,202,155,111,115,220,195,166,143,119,64,49,49,159,195,186,187,186,185,183,148,150,155,163,169,174,179,177,216,197,143,150,186,212,191,150,142,106,61,47,60,187,191,189,188,187,186,185,148,151,156,163,169,175,179,179,215,191,174,169,222,184,181,157,122,103,63,38,119,204,188,190,189,189,188,185,149,151,158,164,170,175,180,182,210,205,175,178,219,186,179,177,129,86,59,47,176,198,191,191,190,189,189,186,150,152,157,166,171,177,182,182,206,214,176,185,210,182,163,159,118,73,51,66,196,193,193,193,191,190,189,188,150,152,158,166,172,177,182,182,199,213,181,170,188,154,140,124,83,65,44,103,208,192,195,193,191,190,190,190,150,153,160,166,173,177,183,185,194,206,167,142,158,143,125,99,72,69,46,166,206,195,196,194,193,191,191,190,149,151,159,165,170,177,183,183,194,199,139,130,148,158,135,103,82,55,88,206,196,197,196,195,194,192,191,190,148,150,158,165,169,184,119,30,159,195,172,172,157,162,147,103,79,49,152,206,196,197,195,194,193,192,190,190,149,151,158,165,176,159,74,24,109,195,177,164,157,155,144,106,68,63,184,200,197,197,196,195,194,192,191,190
4,103,109,123,132,137,142,145,149,151,154,154,156,159,161,163,166,167,168,169,169,170,172,172,173,173,173,173,174,105,111,124,134,138,143,146,149,152,154,156,158,159,161,163,165,169,170,170,173,172,173,173,175,175,174,175,176,105,113,126,134,139,143,147,151,154,155,154,156,160,164,169,164,154,163,170,161,170,177,174,176,177,177,177,177,106,113,128,135,140,144,148,152,154,154,170,171,155,158,193,173,129,109,155,133,115,173,178,176,178,178,178,178,107,115,129,135,141,145,148,151,159,160,158,183,180,134,153,165,122,90,116,134,95,142,185,176,179,179,179,178,107,117,131,136,142,145,150,149,181,179,153,139,149,127,113,147,115,86,130,139,92,129,187,177,179,180,180,180,107,119,132,137,143,147,148,161,192,187,169,142,104,102,110,170,122,94,159,126,78,139,188,178,180,181,182,182,108,120,133,137,143,148,145,178,175,156,163,123,97,90,106,159,130,156,161,128,85,153,186,179,182,182,183,183,109,122,134,137,143,149,146,183,158,144,159,104,88,97,82,121,152,169,148,149,122,145,188,181,182,183,184,185,111,123,134,138,144,149,150,193,169,158,149,113,78,122,143,152,155,145,140,160,145,126,156,190,184,185,185,185,112,126,135,140,145,146,158,195,159,140,133,114,66,127,155,139,139,110,136,172,161,153,119,161,191,184,186,186,113,128,136,140,146,144,166,189,151,130,115,93,70,73,100,108,98,95,134,161,172,162,136,111,172,189,187,187,115,129,136,141,147,143,181,195,161,141,127,107,85,75,80,82,117,175,171,167,164,150,146,113,129,193,186,188,116,129,136,142,148,144,194,192,161,152,131,108,95,93,120,158,185,190,177,167,151,128,130,112,130,194,187,190,116,130,137,142,147,147,202,193,176,159,130,117,104,114,168,189,192,192,178,158,142,118,113,104,164,192,189,190,116,131,137,142,146,150,209,196,180,154,131,127,110,144,184,185,192,188,170,149,131,115,100,123,193,188,190,191,119,131,138,143,147,150,205,197,175,152,139,139,126,163,182,182,187,180,160,140,125,111,95,166,195,189,191,192,121,132,138,144,149,151,204,195,172,161,159,147,145,170,179,185,178,166,149,131,121,101,123,194,189,190,191,192,120,133,138,144,149,151,194,194,182,174,167,151,153,173,178,177,164,151,138,124,113,96,170,195,190,191,192,193,123,132,137,144,150,148,182,199,191,181,166,148,139,160,166,162,152,140,129,119,98,130,196,190,192,192,194,194,124,133,137,144,151,150,171,199,183,176,163,144,131,148,155,152,141,130,121,109,101,180,193,192,194,193,194,195,125,134,138,144,151,152,163,195,175,163,154,137,137,147,156,152,138,125,117,95,149,196,190,193,194,194,195,195,127,133,138,146,151,154,159,186,164,158,148,139,153,143,144,147,130,118,102,110,191,192,192,193,195,195,195,195,127,133,140,146,151,156,158,188,167,163,154,157,162,143,132,137,125,113,94,155,197,190,192,193,195,196,196,197,127,134,141,146,152,153,182,183,181,167,160,159,151,139,126,128,120,109,96,179,194,190,192,195,195,196,196,197,128,134,140,148,147,168,195,179,161,166,166,156,142,134,121,118,113,106,92,177,195,191,194,195,196,196,197,197,129,134,141,146,152,196,184,190,169,125,155,150,137,130,111,110,109,102,94,179,194,193,195,195,196,197,197,198,130,135,143,143,173,196,181,184,195,155,110,132,133,125,104,108,106,99,90,176,194,194,195,196,197,197,198,198
15,119,126,134,141,146,148,153,159,165,169,173,176,180,183,185,187,190,193,195,196,198,200,200,201,201,202,203,203,119,127,135,142,147,149,154,160,166,170,174,177,181,184,187,189,192,194,196,198,200,201,202,202,203,204,205,204,121,129,137,143,148,150,155,162,167,171,175,179,182,186,188,191,193,196,198,199,201,202,203,204,205,206,207,207,123,130,138,145,149,152,157,163,168,173,177,180,184,187,190,192,195,197,199,201,202,204,205,207,207,207,208,209,123,131,140,147,150,154,159,165,170,175,178,182,186,189,192,194,196,198,200,202,204,206,207,208,209,209,210,210,124,132,142,150,154,156,160,166,172,177,181,185,188,191,194,196,198,200,202,204,206,207,209,210,210,211,211,212,126,134,144,169,177,168,166,169,174,179,182,186,189,192,195,198,200,202,204,206,208,209,210,211,212,212,213,214,127,135,149,193,200,182,176,174,178,183,184,184,185,190,195,199,201,204,206,208,209,212,212,213,214,214,215,215,128,136,149,179,189,178,173,171,181,185,184,180,174,178,186,191,196,203,206,207,210,212,214,215,216,217,217,217,130,137,147,159,165,162,159,160,172,177,177,176,174,178,179,180,185,193,199,196,197,203,211,215,217,218,219,219,131,139,148,156,159,160,163,166,171,172,170,168,172,178,176,171,171,182,194,192,183,177,188,209,218,219,220,221,133,140,150,156,159,163,169,175,179,181,179,177,177,176,170,163,164,179,191,195,183,169,165,180,207,219,221,222,133,142,152,158,161,165,171,177,182,186,190,192,193,192,186,181,184,190,187,189,187,175,173,167,175,204,221,224,135,143,152,159,163,166,172,178,183,188,192,196,199,198,202,214,212,195,169,173,192,179,182,178,162,168,204,223,135,144,154,161,164,167,173,179,185,189,193,202,200,184,187,210,213,186,149,155,190,179,186,185,172,151,163,201,137,145,155,162,165,168,175,181,186,191,196,210,196,172,177,211,218,186,154,157,178,180,187,182,170,151,138,150,139,147,156,163,165,169,175,181,187,192,197,204,187,168,179,215,218,184,159,160,164,170,177,168,156,150,139,132,140,148,157,163,166,169,176,183,188,193,198,202,199,181,181,201,198,172,161,166,167,169,173,160,144,145,143,140,140,149,158,164,167,170,177,184,189,194,199,205,229,220,176,151,142,137,148,164,172,177,177,163,148,146,144,140,140,149,159,165,168,172,178,185,190,195,200,205,232,236,184,121,86,75,83,108,149,171,173,162,153,146,135,126,142,150,160,166,169,173,179,185,191,196,201,205,229,236,185,124,94,77,60,59,98,144,152,143,130,115,101,90,143,151,160,166,169,174,180,186,191,197,201,206,225,235,178,133,130,120,99,78,75,100,108,99,86,76,69,61,143,152,160,166,169,174,180,186,192,197,202,206,221,236,185,150,161,153,141,122,92,79,77,73,68,65,62,58,143,152,160,165,168,173,179,185,191,196,201,205,217,238,197,156,178,171,153,120,88,76,73,71,68,65,63,61,142,151,159,164,167,173,180,186,192,197,201,205,212,233,204,156,197,203,163,108,79,72,72,71,69,66,65,63,142,151,160,165,169,174,181,188,193,199,202,206,211,226,194,158,207,220,172,103,76,72,72,71,69,67,67,67,143,152,161,166,170,175,182,188,194,199,203,207,212,214,184,185,218,224,184,110,83,77,73,70,69,68,68,67,143,153,162,167,171,175,182,188,194,199,203,208,212,213,205,214,223,226,206,131,92,82,75,70,69,69,68,66
24,180,182,183,183,184,184,185,185,185,185,185,184,185,185,184,183,181,179,179,180,178,176,175,175,173,172,169,167,184,185,186,187,188,188,188,188,188,188,188,188,188,188,188,187,186,185,183,182,180,180,179,176,175,174,173,170,187,188,190,190,190,190,191,191,191,190,191,191,191,191,191,190,189,188,186,185,183,182,183,184,179,178,176,174,190,191,192,193,194,195,196,195,194,194,194,194,194,194,194,192,190,190,189,188,187,188,166,161,187,180,179,178,194,194,196,196,195,196,196,196,196,196,196,195,196,196,196,195,194,193,191,191,188,193,159,108,186,184,181,179,197,197,197,198,200,198,198,199,199,204,199,198,198,197,197,196,196,195,195,194,190,200,162,104,184,188,184,181,199,200,200,202,203,202,202,204,193,160,202,202,201,202,201,199,198,197,197,196,193,204,154,108,190,190,187,184,201,202,203,203,203,203,203,205,185,115,159,212,203,205,204,203,202,200,199,197,198,207,145,118,197,189,189,187,203,204,205,205,206,205,204,208,186,137,115,211,205,207,207,206,204,203,203,197,206,206,137,130,203,191,191,189,205,207,207,208,208,208,208,209,203,161,100,191,213,206,208,206,204,204,204,204,213,189,114,146,207,194,194,191,207,209,209,210,210,211,210,209,210,179,105,159,221,207,209,211,212,209,204,193,215,181,94,169,206,197,198,195,209,210,211,211,211,211,211,210,213,196,136,119,219,210,213,195,176,205,195,137,127,168,106,198,203,200,198,196,211,212,213,213,213,213,213,212,215,203,158,94,195,220,201,179,152,150,158,137,101,107,122,212,203,203,201,198,212,214,214,215,216,216,216,215,217,211,171,108,152,227,190,191,166,154,141,156,156,73,136,218,202,204,202,200,215,216,217,217,217,217,217,217,217,215,190,152,115,197,175,204,168,157,160,163,147,76,162,218,206,205,204,202,216,217,217,218,219,218,218,218,216,218,205,168,108,142,148,198,188,127,112,144,164,99,136,222,206,208,205,204,217,218,218,219,219,220,219,219,221,222,212,184,167,139,129,163,188,116,53,134,182,125,92,209,210,208,206,205,218,220,222,221,221,221,221,221,221,224,213,210,186,126,91,137,167,98,60,116,192,169,93,144,222,207,208,208,221,223,223,223,223,224,224,223,223,225,217,208,165,125,102,139,154,99,77,189,204,187,114,99,219,209,209,208,223,224,224,224,225,225,225,225,226,226,224,207,187,174,130,135,169,114,149,218,198,168,98,110,221,210,210,209,224,225,225,225,226,228,227,226,227,228,228,207,202,190,137,132,131,141,219,211,179,156,79,132,228,211,212,211,223,224,224,225,226,226,227,227,226,228,229,204,201,202,162,136,112,202,222,204,172,146,77,157,228,210,212,211,224,224,225,226,227,225,226,227,228,228,228,210,194,192,176,148,120,202,212,193,166,133,74,179,223,211,211,210,225,225,226,227,227,227,228,228,230,227,231,212,187,187,184,168,127,185,215,187,151,112,76,200,219,212,212,210,226,226,226,227,227,229,229,229,230,230,232,221,190,191,184,184,138,165,209,176,136,86,97,224,216,215,213,211,226,226,226,228,229,230,229,228,229,231,230,230,201,196,185,189,140,131,185,145,110,59,136,232,214,216,214,213,220,223,226,228,230,232,232,233,236,237,236,240,211,199,187,176,144,121,146,133,93,59,192,227,217,219,220,205,138,142,146,150,153,158,164,168,171,176,180,183,200,204,180,166,157,130,133,140,75,99,218,209,211,199,150,96
0,180,180,180,180,180,180,180,180,179,178,177,177,177,177,175,174,174,174,172,171,169,169,168,167,166,165,163,163,181,182,181,182,182,180,180,181,181,179,178,178,179,177,177,175,175,174,174,173,171,170,169,167,165,165,165,164,182,182,182,182,182,181,182,182,181,180,180,180,180,179,178,176,177,174,173,173,172,172,170,169,167,166,166,165,184,183,183,183,182,182,184,183,182,182,181,178,171,179,180,178,177,179,175,175,174,172,171,170,169,167,166,165,184,184,185,185,184,183,183,183,180,184,181,159,127,125,171,150,129,136,177,170,169,174,171,172,171,168,167,166,184,185,185,186,185,184,184,171,144,148,171,151,125,94,115,137,112,83,121,129,109,122,170,155,157,170,167,166,187,186,185,186,184,184,184,168,144,118,131,165,126,100,103,150,120,92,80,125,101,68,117,137,118,173,168,166,187,187,186,185,185,185,184,184,157,136,102,153,131,106,98,150,126,94,87,134,114,73,70,131,104,171,169,168,188,188,186,186,186,189,181,168,165,137,90,141,137,106,96,148,124,93,71,121,107,74,59,121,94,156,172,170,189,188,188,188,188,190,172,133,162,118,82,140,125,94,87,135,111,82,59,111,97,65,60,121,98,113,174,170,189,189,188,189,189,184,152,116,159,108,82,135,108,78,81,125,102,72,71,132,109,59,59,126,118,86,144,172,189,188,189,189,191,185,167,141,156,122,95,130,115,80,85,133,108,66,109,152,110,49,75,130,121,87,102,177,189,190,190,190,192,177,155,135,132,121,93,136,129,81,102,146,119,72,101,134,77,50,118,140,118,73,114,176,190,191,192,193,187,158,131,111,97,85,77,136,121,76,92,145,118,67,30,45,34,91,144,140,102,69,160,174,192,192,193,191,185,165,138,113,88,79,77,89,97,72,56,83,84,83,101,73,82,141,143,124,75,111,179,172,193,193,193,189,181,164,141,113,91,87,94,91,96,100,93,99,130,151,147,139,119,132,129,98,65,162,176,172,193,193,194,192,183,166,144,120,96,87,94,103,121,134,143,154,158,150,139,136,115,111,111,69,98,180,175,174,192,193,193,191,185,167,147,127,106,96,96,108,142,156,165,163,157,145,134,130,106,92,90,54,148,180,176,175,193,194,193,190,186,170,152,134,114,111,105,139,168,167,168,163,153,139,129,123,95,77,57,94,181,178,177,175,194,194,193,191,189,175,157,142,129,125,133,163,172,170,168,160,148,136,122,108,80,51,78,170,181,178,178,177,194,195,194,192,189,177,161,148,138,132,155,166,172,173,166,149,139,128,112,93,57,67,169,182,180,179,178,177,194,195,195,190,187,180,167,153,141,135,162,169,173,170,156,139,128,117,98,67,57,161,184,180,180,180,179,176,194,196,195,190,185,180,169,158,143,136,160,169,163,157,142,127,113,100,72,52,149,188,183,182,180,180,178,177,195,197,197,193,186,183,173,166,153,142,155,163,152,143,130,113,97,72,48,139,189,185,184,182,181,179,178,177,196,196,198,194,189,180,172,168,159,148,152,155,143,129,118,100,70,49,136,190,185,185,183,182,182,180,179,178,196,197,197,193,187,179,181,180,169,155,149,146,130,116,105,76,51,141,193,189,188,186,183,182,182,180,179,179,196,196,197,191,189,176,180,180,164,153,143,137,118,98,86,54,138,194,190,188,188,187,185,183,183,181,180,179,197,197,195,187,183,161,176,168,157,149,139,122,108,90,64,90,194,191,189,188,188,187,185,185,183,182,181,179
1,141,144,147,149,152,155,158,159,160,160,161,162,162,162,162,161,160,159,160,159,157,156,156,153,152,152,150,148,143,147,150,151,154,157,159,161,162,163,163,163,163,163,162,162,166,164,147,158,158,158,158,155,154,152,151,150,146,149,153,154,157,160,162,164,164,164,165,165,165,165,170,158,168,169,111,145,155,158,158,157,156,154,152,152,148,152,155,158,159,163,165,166,167,167,167,167,167,169,190,145,120,159,101,114,130,138,160,158,158,157,155,154,151,155,158,160,162,164,167,168,170,170,170,170,170,175,194,133,97,150,98,111,127,108,161,161,160,159,158,156,153,157,159,162,165,167,169,171,172,172,172,183,173,133,163,120,107,164,106,111,128,100,158,163,162,161,159,158,155,158,162,165,167,169,171,174,174,175,176,198,157,95,134,116,113,163,110,102,128,101,157,166,164,163,161,159,157,161,165,167,169,172,174,175,177,177,180,199,140,88,130,108,103,142,100,117,141,106,153,169,167,166,164,162,159,163,166,168,172,174,176,178,179,179,189,199,137,88,120,97,113,136,93,120,139,103,150,172,169,168,166,164,161,165,167,170,173,174,177,180,181,180,196,190,129,96,126,96,130,145,97,117,132,100,154,173,172,170,168,166,163,166,169,172,175,177,179,181,182,182,199,181,124,105,140,100,115,134,93,135,140,102,157,175,174,172,169,167,164,167,170,173,177,178,180,182,184,185,207,184,138,97,117,80,87,102,84,149,139,103,160,177,176,174,172,170,165,169,172,175,178,179,181,184,187,187,208,172,127,87,87,85,87,92,95,134,117,99,169,178,177,175,174,172,167,172,174,177,179,181,184,187,189,191,204,174,148,138,112,123,102,130,137,105,93,109,179,179,178,176,174,172,169,173,177,179,181,184,187,189,190,200,220,200,160,170,167,163,154,166,134,87,83,133,183,180,178,177,175,173,169,174,179,181,184,187,189,190,190,214,225,173,134,136,162,172,166,157,139,108,72,142,186,181,180,179,177,175,171,175,180,183,187,189,191,192,193,223,208,147,123,96,99,130,130,154,168,128,77,145,187,183,182,180,178,176,173,177,181,185,189,191,192,194,197,229,213,170,125,110,100,97,142,149,188,150,92,130,187,185,183,182,180,178,175,179,183,187,190,193,195,197,203,231,212,178,123,119,100,151,201,167,187,160,109,94,179,188,185,184,181,179,176,181,186,189,192,195,197,199,205,230,214,175,120,126,115,198,216,194,163,137,116,91,175,190,187,185,183,181,177,182,187,190,194,196,199,200,208,229,218,169,125,126,147,222,218,188,158,122,98,98,185,191,189,186,185,182,179,184,188,192,194,198,200,201,210,230,211,162,140,119,177,225,210,183,152,127,83,117,194,193,191,188,186,185,180,186,190,193,196,199,202,203,212,227,204,176,152,129,201,221,201,174,146,115,80,158,197,194,193,190,187,186,181,186,191,195,198,200,203,206,212,221,204,193,159,146,205,212,190,164,131,93,104,192,198,196,194,191,189,187,182,187,192,196,199,202,205,170,163,214,204,199,156,136,185,188,166,141,110,80,159,202,199,197,195,193,191,189,185,189,193,198,200,203,198,103,80,155,188,184,127,117,143,149,133,110,78,114,200,201,200,199,197,195,193,191,185,190,194,198,201,206,163,80,73,74,101,112,94,106,116,115,94,73,86,182,205,202,201,200,198,195,194,192,183,188,194,198,200,202,125,79,71,68,68,73,74,83,83,81,55,41,134,207,204,202,202,201,199,195,194,191
14,141,145,149,151,153,155,157,159,160,162,161,163,164,163,162,163,162,161,161,161,160,159,158,157,155,155,153,152,142,147,151,153,155,158,159,160,162,164,165,166,166,165,164,163,166,167,166,162,160,161,161,159,157,158,156,155,144,149,152,155,158,159,161,163,164,167,166,166,167,166,167,166,145,150,163,165,165,161,160,160,159,158,158,157,145,151,155,157,159,161,163,166,166,166,167,168,168,167,166,153,144,130,136,128,151,171,160,159,161,159,159,159,147,152,157,158,160,163,165,167,168,169,170,170,167,181,181,171,161,144,115,95,91,121,165,167,160,161,160,161,149,153,158,160,162,165,167,169,169,171,173,168,178,199,168,141,180,153,118,74,59,58,77,148,170,160,162,160,149,154,159,162,164,166,167,169,171,172,172,179,195,193,146,63,116,104,140,99,42,66,39,45,143,169,161,163,151,155,160,163,165,169,169,171,173,174,175,193,175,134,100,57,43,63,149,128,65,63,66,42,53,167,165,165,152,157,161,164,167,168,170,173,174,179,189,203,154,89,54,38,36,35,109,143,91,69,87,70,47,117,175,163,152,157,163,165,168,170,173,175,174,189,204,202,164,117,75,55,46,37,43,98,109,68,77,65,73,67,159,169,154,158,162,166,168,171,174,175,178,197,208,190,141,105,74,52,52,44,101,156,176,152,99,70,71,52,111,176,155,160,164,167,170,173,175,174,185,208,203,156,99,64,54,46,37,79,187,181,175,182,181,113,73,77,101,176,157,162,166,168,172,174,178,171,194,208,191,166,121,67,46,31,59,179,187,176,178,178,175,102,113,72,106,181,158,164,167,170,173,175,176,177,208,201,179,170,124,83,50,24,33,75,152,186,175,188,145,101,116,66,78,182,160,165,167,171,174,180,171,197,212,192,177,171,117,88,41,29,36,36,53,157,194,156,84,98,107,70,47,151,161,165,170,172,176,176,180,213,200,178,184,166,120,91,39,33,47,57,56,67,104,75,88,106,92,69,40,138,161,166,172,174,179,173,197,213,197,184,184,158,123,85,40,49,69,70,71,66,53,72,91,104,90,49,104,180,162,167,172,175,177,179,213,211,199,182,171,156,119,72,46,65,83,84,81,80,72,73,94,85,59,113,183,178,164,168,173,176,176,191,217,206,191,173,160,149,106,73,56,78,87,89,85,79,77,73,74,60,132,188,179,179,165,169,174,177,176,207,215,198,181,167,151,135,99,76,67,80,92,87,84,71,77,56,52,148,193,179,181,181,166,171,174,177,179,216,209,191,177,158,141,127,98,82,69,80,93,82,77,68,55,86,161,192,183,184,182,181,168,172,177,177,188,222,205,185,169,153,133,116,105,78,68,74,83,80,69,52,134,194,191,185,187,186,183,182,169,173,178,176,206,218,198,172,146,138,129,116,87,69,70,70,74,60,55,141,201,188,187,188,187,185,185,183,169,173,175,190,219,206,188,156,154,144,112,87,65,70,74,55,64,97,166,199,189,190,189,188,187,186,186,185,171,179,171,193,211,198,184,162,152,120,103,84,69,68,57,107,176,199,199,192,193,192,189,188,187,187,186,185,163,167,157,194,207,198,178,162,135,101,95,77,70,47,109,211,201,195,195,194,193,192,191,190,189,189,188,186,59,13,92,211,200,190,172,150,117,90,86,73,58,62,181,199,196,198,197,194,194,193,193,192,190,189,188,186,48,15,71,184,198,182,167,140,101,82,75,66,40,129,204,196,197,197,196,195,195,194,194,192,190,189,188,187
23,155,156,157,159,160,160,160,161,162,163,165,166,166,163,161,162,162,163,164,162,163,164,164,164,164,164,162,161,157,157,158,160,160,161,163,163,165,166,165,163,163,166,178,187,181,160,159,165,166,164,164,165,165,165,164,163,157,158,159,161,162,163,164,165,167,165,168,176,186,198,202,196,182,169,157,158,124,148,168,167,167,166,165,164,158,160,161,162,164,165,164,166,168,165,205,211,193,184,181,159,121,125,121,105,105,163,168,167,168,168,168,168,160,161,162,163,165,166,167,168,164,174,217,199,158,159,134,109,137,138,130,138,165,169,167,169,169,169,169,168,161,161,162,165,167,167,169,170,163,183,217,190,139,103,119,154,173,174,175,174,170,169,169,171,170,169,169,169,162,162,165,167,168,168,171,171,165,200,217,187,148,122,176,175,182,182,162,170,170,172,171,172,172,171,171,170,163,164,167,167,168,170,171,170,170,214,207,195,139,129,197,202,213,205,131,166,183,172,172,174,174,173,173,172,165,167,168,168,169,171,173,167,180,217,198,197,156,192,217,215,206,179,116,111,137,173,175,174,174,174,174,173,166,168,169,170,171,173,174,166,195,217,196,203,215,216,211,196,183,170,173,133,70,134,182,173,174,175,175,174,168,169,171,172,173,173,174,171,209,215,208,207,209,209,203,197,198,200,202,167,91,100,185,176,178,177,176,176,169,170,172,173,174,174,171,196,212,210,206,201,204,207,207,205,199,185,170,140,93,79,145,182,177,180,178,178,170,170,173,174,175,170,193,217,212,214,208,201,197,199,200,194,183,171,172,157,90,76,96,179,180,180,179,179,172,173,175,175,175,170,202,217,216,216,210,194,190,195,196,192,183,178,181,166,97,70,104,185,180,180,181,181,173,174,176,178,177,175,197,217,215,216,214,204,204,197,189,184,173,169,165,138,99,69,136,190,180,182,181,182,174,175,175,178,182,178,191,217,215,217,215,204,206,185,155,157,149,140,128,127,97,85,170,188,182,183,183,182,175,176,176,179,182,179,188,217,216,217,211,201,198,174,131,102,89,93,122,126,92,110,191,185,185,184,183,183,176,178,179,180,182,180,186,217,216,217,210,199,185,161,137,107,27,64,127,125,88,141,195,185,186,187,186,184,177,179,180,181,182,181,184,216,216,217,211,197,201,199,134,69,45,93,118,105,83,166,192,185,187,188,187,185,179,180,181,182,183,183,183,214,216,217,212,203,205,187,131,69,64,106,92,81,102,192,188,187,188,188,187,187,180,181,181,183,185,186,183,211,217,216,212,207,205,173,133,97,61,76,83,84,116,198,186,188,189,190,188,188,180,182,182,184,186,188,184,209,217,216,212,212,208,174,132,106,60,71,94,85,132,200,188,190,190,192,190,189,181,182,183,185,187,188,185,209,217,216,213,212,205,175,134,111,78,81,100,86,156,199,190,192,192,193,192,192,181,182,184,186,187,189,184,209,217,216,214,211,201,177,139,114,87,90,102,91,180,194,191,192,193,193,192,191,181,183,185,187,188,190,185,209,217,216,213,208,193,168,136,112,94,93,92,114,201,191,193,193,193,193,193,192,182,184,186,187,188,191,186,208,217,216,210,197,181,159,129,110,102,97,83,164,201,193,195,195,195,194,194,193,185,186,188,188,188,193,188,207,217,216,207,186,166,142,122,114,106,87,111,200,195,195,194,196,195,195,195,194,186,187,189,189,190,194,189,208,217,216,206,183,165,142,123,112,103,96,182,200,194,195,196,196,196,196,195,194
23,186,189,194,196,197,199,201,202,202,204,205,204,204,202,203,204,205,205,205,206,204,205,205,204,205,203,204,202,189,192,196,198,199,201,202,203,205,204,203,203,204,205,206,208,209,208,210,206,205,206,207,206,206,205,205,205,193,196,197,202,202,204,204,205,208,207,206,207,209,205,205,202,190,195,208,213,209,209,210,210,209,209,207,206,194,197,201,203,204,207,208,209,209,211,213,211,206,222,238,213,187,168,184,167,198,216,213,213,212,213,211,208,196,199,203,205,207,208,211,212,211,213,214,211,227,240,223,193,161,158,136,106,200,219,215,215,215,214,214,212,198,202,205,206,210,212,213,213,212,213,215,232,232,182,173,129,144,152,150,192,219,214,217,216,217,218,217,217,200,203,206,208,211,213,213,215,216,214,216,225,198,132,125,178,227,224,228,224,217,220,220,218,219,220,220,218,204,206,209,213,213,214,215,216,218,217,218,214,179,142,133,242,217,218,209,210,224,219,222,223,223,221,221,220,206,208,211,214,214,217,218,218,220,220,222,216,179,176,126,217,218,232,214,128,193,228,223,224,225,225,222,222,206,211,214,215,216,219,220,221,222,222,220,223,201,176,155,233,249,239,211,111,148,240,224,226,225,225,223,223,209,214,215,215,220,221,221,222,223,223,220,229,212,222,250,245,223,218,201,91,111,178,184,231,224,225,224,223,209,213,216,217,221,221,221,223,224,224,222,221,227,242,233,222,226,213,166,98,42,124,132,233,229,226,226,225,212,213,217,220,221,221,223,225,226,225,220,221,231,239,241,221,220,206,111,77,34,92,82,128,240,230,228,229,213,214,217,221,221,222,224,226,225,229,227,226,228,232,224,213,220,193,98,68,39,66,81,53,135,241,227,229,214,216,219,222,222,224,226,228,226,236,242,219,221,222,222,223,208,147,90,75,42,51,79,82,72,227,233,230,215,217,220,222,224,226,227,229,228,229,235,222,226,228,215,185,133,80,95,82,45,46,77,69,134,242,230,231,216,218,220,221,225,227,228,229,230,220,229,224,220,199,165,116,51,61,99,77,38,61,86,76,214,242,232,232,215,219,222,224,227,228,228,230,232,223,226,220,213,199,141,87,44,86,83,41,35,69,76,148,246,233,235,234,214,219,221,224,227,228,229,230,232,225,222,216,223,202,112,60,46,60,36,36,52,67,83,220,242,236,237,236,215,218,220,223,223,225,228,229,230,223,217,216,227,178,109,79,39,34,41,55,77,63,136,249,235,238,239,238,216,219,221,223,225,227,227,228,229,222,218,224,230,184,122,93,43,40,75,89,97,72,190,251,238,238,238,238,215,219,222,224,227,228,228,227,231,220,214,235,224,185,136,100,64,48,86,99,102,78,210,246,237,237,237,237,214,219,222,224,228,228,229,228,231,220,208,235,222,184,141,103,78,51,87,101,96,94,233,241,238,238,237,237,214,219,222,224,227,228,230,229,231,217,208,226,218,181,137,100,83,57,83,106,81,132,251,237,239,239,238,237,216,219,221,223,226,228,229,229,234,206,204,223,212,173,134,98,82,66,75,97,73,206,246,236,238,238,239,239,218,222,226,227,231,234,236,236,240,203,219,224,198,167,130,99,81,74,70,75,168,253,241,243,241,243,241,236,130,136,143,147,150,153,157,165,160,184,242,227,194,155,122,99,82,79,65,149,228,220,223,231,232,225,223,220,96,96,98,98,98,100,102,102,87,200,255,226,191,144,120,101,80,78,87,112,126,147,157,189,207,193,203,202
20,132,134,137,140,142,144,147,149,151,154,154,154,155,157,159,159,145,158,164,165,165,166,167,167,167,168,169,168,133,136,139,141,143,146,149,150,152,155,156,157,158,158,163,166,122,138,145,157,167,168,168,168,168,168,169,169,134,137,141,144,145,148,150,152,153,155,158,159,160,160,167,171,126,147,130,126,169,169,170,169,169,169,169,169,135,138,142,144,146,149,151,153,154,157,159,159,161,162,170,168,132,165,142,115,167,170,171,171,171,170,171,171,137,139,142,145,147,149,152,154,157,158,159,160,162,163,178,178,142,168,145,114,166,171,171,172,172,172,171,172,137,140,144,146,148,150,153,155,157,159,160,162,164,164,186,178,148,178,151,117,166,173,172,173,172,172,172,173,138,141,145,147,149,152,154,157,159,160,161,161,164,165,185,165,149,181,150,114,166,175,174,174,174,174,174,175,139,142,145,148,150,152,155,158,161,162,164,143,139,166,182,152,147,178,144,112,167,177,176,176,177,176,176,176,139,143,146,148,151,154,157,159,161,165,167,143,107,138,175,147,150,177,139,112,169,178,177,177,177,177,177,177,140,144,147,149,152,155,156,159,159,156,167,149,128,115,128,128,140,165,135,117,172,177,178,178,178,178,177,178,141,144,147,149,153,156,156,176,169,130,148,164,162,142,107,94,112,145,128,119,175,178,179,179,179,179,179,178,141,145,148,150,153,156,161,177,170,141,135,154,170,158,121,84,97,124,115,119,178,179,179,180,180,180,180,179,142,146,150,151,155,157,163,169,150,150,112,90,140,172,148,104,94,106,101,118,180,181,181,181,181,181,181,181,142,146,150,152,155,158,164,170,127,118,100,76,108,178,171,129,90,95,94,114,180,181,182,182,182,182,181,181,143,146,150,153,155,158,165,173,151,133,111,94,109,165,188,152,103,88,88,112,180,182,183,183,184,183,182,182,143,147,151,152,156,158,170,187,159,132,114,107,124,155,197,166,124,89,80,107,181,183,184,184,184,184,183,183,144,148,151,153,157,159,175,184,149,126,119,124,137,176,194,166,134,93,76,107,182,183,184,184,184,184,183,183,145,149,152,154,157,159,178,184,155,135,133,131,156,205,189,158,135,95,73,112,183,184,184,185,185,184,184,184,145,150,154,155,157,159,180,189,160,141,138,143,178,210,188,155,132,100,75,122,184,185,186,186,186,186,184,185,145,150,153,156,158,159,179,193,168,146,140,158,189,199,182,157,131,101,75,134,186,185,186,186,186,185,184,184,146,149,152,155,158,159,179,196,170,157,149,163,195,190,175,155,125,101,78,150,186,185,186,186,186,185,185,185,146,150,153,156,158,161,177,196,176,170,160,163,195,187,171,155,123,96,80,161,187,186,186,186,186,186,185,185,146,151,154,157,158,161,170,193,185,180,174,162,185,179,166,153,124,92,81,162,187,186,186,186,186,186,186,185,147,150,154,156,159,164,166,185,189,184,177,167,172,175,160,152,123,93,84,167,187,187,187,186,186,186,186,186,147,151,154,156,159,164,164,178,190,180,167,161,166,169,155,158,128,93,95,176,187,187,187,187,187,187,187,187,147,151,154,156,159,163,164,177,186,169,159,151,160,167,152,160,128,92,113,184,186,187,187,188,187,187,187,187,147,151,152,156,159,164,166,179,184,166,159,151,159,170,148,156,121,89,138,188,186,188,188,188,188,187,187,187,146,151,153,157,159,164,165,181,192,178,166,157,161,171,141,148,114,89,161,187,187,188,189,188,188,188,188,188
21,166,170,172,174,176,178,180,183,185,187,186,187,187,187,187,188,189,189,187,188,188,188,189,188,186,186,185,183,168,171,173,176,179,180,183,185,186,188,188,193,202,172,187,191,192,191,190,190,190,190,190,190,189,188,187,186,170,173,176,178,181,183,185,186,187,190,191,205,224,170,165,193,194,193,194,193,193,193,192,192,192,190,190,187,172,175,177,180,183,185,187,189,191,193,194,195,230,194,144,189,196,195,196,195,195,195,194,196,187,181,191,190,173,177,179,182,184,186,189,191,193,195,195,196,215,219,171,171,197,197,198,197,197,197,196,212,176,143,193,193,174,178,181,184,185,188,191,194,195,195,196,196,202,238,202,158,193,200,200,200,200,198,202,219,168,146,195,193,176,180,183,185,187,190,193,195,196,197,198,199,199,236,217,164,176,200,201,200,200,199,217,213,152,168,196,195,178,181,184,186,189,192,193,195,197,199,199,200,200,224,227,178,156,202,202,202,203,204,229,201,145,189,199,199,180,183,186,188,192,194,195,197,199,200,201,202,202,217,226,195,150,198,204,204,203,216,219,183,143,199,201,200,181,185,188,191,193,195,197,199,201,202,203,204,213,240,223,196,139,165,204,205,207,228,209,154,164,203,202,201,183,186,189,192,195,197,199,200,201,203,204,211,219,237,225,198,160,138,189,206,217,227,200,141,195,205,204,202,184,187,190,193,196,199,200,201,202,205,209,240,219,211,234,215,205,189,160,183,205,207,171,153,206,206,206,204,185,189,192,195,198,200,201,202,205,207,216,228,226,205,195,197,227,211,157,131,165,167,137,182,208,207,207,206,186,190,192,195,199,201,202,204,206,207,218,218,193,157,113,122,203,213,169,124,132,136,128,204,209,209,208,207,188,191,193,197,200,202,204,207,208,208,223,212,161,153,130,123,157,225,194,139,113,118,139,211,211,210,209,208,188,192,194,198,200,203,206,208,209,209,229,223,205,177,142,143,142,228,215,158,113,107,156,214,213,212,211,210,190,193,197,200,202,205,207,209,210,210,240,236,198,169,150,162,163,233,232,182,128,104,162,215,213,213,213,213,192,195,198,201,203,206,207,209,212,212,243,224,180,163,168,183,193,247,236,194,146,111,158,216,213,214,213,213,192,195,198,201,204,207,208,210,212,214,243,229,200,188,188,195,221,253,232,194,150,113,158,217,214,214,213,213,190,194,198,201,204,206,208,209,212,212,243,239,211,195,199,210,239,253,229,188,156,116,157,217,215,215,214,214,193,196,199,202,205,207,208,211,213,212,241,246,222,199,205,219,249,251,232,189,155,118,161,218,216,216,215,214,194,198,201,203,206,207,209,212,214,213,237,249,227,209,209,230,252,244,225,185,152,117,166,218,218,217,216,216,195,198,201,203,206,208,211,213,216,218,232,251,233,226,219,235,253,240,217,185,146,115,160,221,220,219,218,218,195,199,201,206,207,210,213,215,217,219,225,250,241,238,232,229,245,227,208,182,140,113,157,222,221,221,220,219,196,199,202,205,207,211,215,216,218,219,219,242,246,242,234,223,228,212,196,177,134,108,165,223,224,222,221,216,188,192,196,199,203,207,209,211,213,214,215,230,249,240,222,202,209,205,185,179,130,99,187,224,224,223,204,154,139,141,144,147,149,151,155,156,156,156,160,175,244,230,204,179,187,204,178,175,122,92,169,183,185,184,132,109,111,113,113,113,113,114,117,117,116,117,108,96,225,212,184,168,181,204,167,167,107,77,97,113,121,122,100,95
1,198,200,200,200,201,201,201,202,202,201,201,202,202,200,200,202,191,175,195,193,194,192,190,188,188,187,184,182,202,203,204,204,205,205,206,205,206,205,204,205,205,206,195,192,202,128,190,206,196,196,193,192,191,189,187,185,207,208,208,208,209,209,209,210,209,209,208,210,207,215,199,140,200,124,136,168,201,198,197,195,195,193,190,188,211,211,212,212,213,213,212,213,212,212,213,212,210,222,190,133,199,112,95,116,183,206,200,197,197,196,194,191,214,214,214,214,217,217,216,216,216,217,217,219,217,226,165,138,196,96,129,134,159,214,201,201,200,199,196,194,218,218,219,218,218,219,219,219,218,217,221,197,200,229,144,153,201,103,153,139,143,218,204,205,203,202,199,197,222,222,223,223,223,224,224,223,221,220,224,185,147,230,143,174,189,99,162,142,142,221,208,209,205,203,202,199,225,225,225,227,226,226,226,226,226,224,228,171,144,217,132,190,162,100,184,153,143,224,211,212,209,206,205,203,227,228,228,229,228,227,227,227,227,227,230,144,162,192,130,203,158,128,208,143,142,226,213,214,211,210,207,205,231,231,231,231,231,231,230,230,230,231,229,136,170,194,141,209,164,136,208,133,146,230,215,216,214,211,210,209,232,232,233,233,233,234,233,233,232,234,219,122,175,205,131,205,160,119,203,148,159,232,217,218,216,215,212,211,235,234,234,235,235,236,234,235,233,238,209,113,186,189,107,191,131,118,214,145,160,235,220,220,220,218,215,212,237,237,237,237,237,239,238,238,237,240,215,118,178,173,118,197,128,134,208,135,159,237,222,224,222,221,218,215,239,240,240,240,239,239,239,239,238,242,195,124,187,179,179,201,172,138,163,137,163,238,225,227,224,221,219,218,239,241,240,240,240,240,240,240,241,236,195,192,177,153,167,170,176,158,140,130,134,234,227,227,226,223,221,220,241,242,242,242,241,242,242,242,241,235,215,180,146,137,150,172,177,152,140,146,113,213,235,227,227,226,223,221,242,243,243,243,243,243,244,244,245,238,198,149,133,136,153,190,181,164,198,188,118,180,245,230,230,227,226,224,245,244,245,245,245,246,246,247,241,233,191,139,137,149,164,196,206,205,182,201,150,150,245,231,231,228,227,225,245,247,248,247,247,247,247,248,236,229,201,144,125,153,181,206,218,230,170,198,175,122,232,235,232,230,228,226,247,247,248,248,248,248,247,251,232,228,212,158,117,154,188,208,215,219,199,180,140,103,229,237,233,233,231,228,249,249,248,249,249,250,249,253,229,225,217,173,133,136,189,222,222,216,184,169,108,127,248,235,234,234,233,230,248,249,249,249,250,251,250,255,230,212,209,174,143,134,201,235,230,215,174,142,93,191,250,236,236,235,234,233,248,249,249,250,251,251,250,254,239,205,198,177,151,145,210,227,210,191,156,116,107,242,241,239,238,235,234,233,247,249,249,249,250,250,250,253,247,212,201,184,161,156,210,217,200,169,139,90,159,255,239,240,239,236,234,233,247,249,250,250,250,251,251,251,253,216,200,196,171,156,198,201,183,148,111,87,226,245,240,239,237,235,233,230,248,250,250,250,251,252,251,252,255,224,205,195,172,155,177,170,144,115,70,170,254,240,242,240,238,234,230,230,248,249,250,251,251,252,251,253,249,223,210,195,174,159,161,150,115,76,160,255,244,244,242,241,239,238,241,230,248,249,249,251,251,252,252,255,234,216,219,200,193,173,149,133,83,117,255,247,246,245,243,240,240,224,190,132
14,113,117,120,124,127,129,130,132,135,136,136,138,139,139,140,140,140,139,140,139,139,139,139,138,138,137,136,136,113,118,121,125,128,130,131,133,135,135,137,138,139,140,141,141,141,141,141,140,140,140,139,139,138,138,137,137,114,118,123,126,130,130,132,134,136,137,139,140,141,141,142,143,143,141,141,141,141,141,140,139,139,139,138,137,115,120,124,127,130,131,133,136,137,139,141,141,142,143,143,145,144,143,143,141,142,142,141,140,140,141,140,139,116,121,125,128,130,133,135,137,139,139,141,143,142,143,148,142,144,144,142,145,145,142,142,142,142,141,140,140,117,121,125,129,132,134,135,138,140,140,142,145,140,168,183,166,168,160,138,126,135,147,141,142,143,142,141,140,117,122,127,130,133,134,135,139,140,141,143,142,149,184,181,181,170,157,146,134,124,124,144,145,141,142,142,141,118,124,128,131,133,136,138,139,142,142,145,140,175,188,164,145,127,107,110,123,117,71,83,141,145,142,143,143,119,125,129,132,134,137,139,140,143,146,145,148,192,181,130,78,69,69,71,86,85,78,69,80,146,145,144,143,120,125,128,132,136,138,140,142,143,147,140,169,195,165,104,55,61,70,57,63,81,103,90,52,99,151,145,145,121,126,130,133,136,139,141,142,145,146,142,194,182,129,66,44,67,72,60,67,71,73,78,94,75,114,150,144,123,127,131,134,138,140,141,142,146,142,164,199,144,85,47,47,46,52,69,68,74,75,86,102,97,105,111,148,124,128,132,135,138,140,142,145,146,147,198,187,130,86,66,63,56,48,71,75,115,102,96,87,131,111,99,151,124,129,133,136,139,141,143,148,142,168,210,176,125,88,76,67,66,69,59,118,159,155,148,133,145,87,105,155,125,130,134,138,141,142,144,149,141,183,210,168,118,85,76,65,66,70,85,156,153,153,153,137,140,86,103,156,126,130,134,139,141,144,147,149,143,190,207,165,111,77,66,59,67,64,119,160,153,156,149,132,134,89,90,154,126,131,135,138,142,144,147,147,145,200,202,166,119,79,61,60,58,46,132,166,153,158,135,124,125,98,87,148,127,132,136,139,143,144,146,146,151,208,197,164,120,80,61,52,51,48,65,132,163,154,122,128,116,94,110,153,127,130,135,139,142,145,149,145,163,210,191,160,121,82,55,47,58,69,65,68,99,107,128,138,116,94,146,153,128,132,136,139,143,146,151,143,178,210,187,156,122,84,55,46,58,66,71,83,81,96,132,126,96,123,158,151,126,132,137,139,144,147,150,145,191,206,182,151,125,87,58,51,60,66,81,100,104,101,122,104,106,157,154,153,125,130,136,139,143,146,148,147,197,199,173,148,137,89,64,65,75,84,100,107,100,96,101,90,142,158,153,154,125,132,138,141,144,147,147,151,198,191,164,160,140,83,76,69,85,98,110,103,95,91,82,115,159,154,155,154,127,133,138,141,145,147,147,154,196,183,167,170,138,97,87,69,89,105,109,98,90,83,122,159,157,157,157,155,127,133,138,141,144,148,147,156,193,184,176,175,145,110,90,73,84,102,104,94,82,99,163,158,157,158,157,155,127,133,139,142,145,149,147,162,200,192,185,178,148,112,91,78,80,97,95,89,81,138,162,158,159,158,156,154,127,132,137,141,144,148,145,166,202,192,190,171,136,106,91,82,82,90,89,81,118,162,158,159,159,157,156,154,126,130,135,139,142,146,142,171,199,190,185,151,120,98,90,86,87,88,85,116,161,159,159,159,157,156,154,153
11,129,132,136,139,142,144,147,149,150,152,151,152,152,152,151,152,152,151,151,149,149,146,143,144,142,141,137,135,131,136,138,141,144,146,149,151,153,153,154,153,152,154,156,153,152,152,151,150,150,148,145,145,143,142,140,137,134,138,142,144,147,150,152,153,155,156,157,156,157,147,136,158,153,154,153,151,150,149,149,146,145,144,142,142,138,141,144,148,150,153,156,157,159,158,159,157,164,167,86,159,158,155,156,155,152,152,151,148,147,144,150,123,141,144,147,150,153,157,159,159,161,161,162,158,171,182,76,151,163,158,158,158,157,155,152,151,149,148,150,69,142,147,151,154,157,159,161,161,163,163,166,158,183,179,63,152,165,162,160,158,159,158,156,154,151,156,133,34,145,149,151,157,160,161,164,165,168,170,166,163,210,172,66,164,166,164,163,162,160,160,158,158,156,162,117,21,149,153,156,160,161,164,167,168,167,157,183,152,205,158,78,174,167,167,167,166,163,164,162,161,159,163,130,46,151,156,159,162,165,169,163,200,178,96,159,131,84,136,83,151,175,169,169,169,168,167,164,165,162,161,153,66,153,157,161,165,169,163,195,219,199,148,79,114,67,98,78,118,183,170,171,171,170,169,167,168,166,163,165,89,156,159,164,168,167,182,235,169,178,177,93,78,74,113,84,127,186,173,174,174,173,172,171,169,168,165,169,138,158,162,165,169,172,224,206,128,126,173,82,71,66,111,83,134,188,177,178,177,176,175,173,171,170,169,167,161,160,164,169,165,199,232,165,119,146,144,50,79,65,100,73,148,188,179,181,181,178,177,176,174,173,172,170,167,161,165,171,166,213,220,149,91,106,113,53,76,64,96,69,172,187,182,183,182,180,178,176,174,174,174,172,170,163,167,172,167,219,222,165,112,59,60,90,54,77,93,74,189,185,184,183,182,182,181,179,178,177,174,175,172,165,170,174,171,231,220,156,98,59,43,97,52,110,101,45,150,200,186,188,189,183,176,172,169,177,183,176,174,167,172,175,177,242,217,157,109,68,46,58,42,101,84,35,62,171,187,173,152,137,127,123,110,99,143,183,175,167,173,175,185,243,213,161,119,81,59,62,68,87,90,85,84,90,111,117,132,141,124,96,86,66,87,186,177,169,175,176,188,240,209,162,123,87,65,68,115,145,145,132,119,99,102,123,122,100,79,100,150,164,170,182,179,171,177,179,187,239,212,172,133,97,73,87,143,140,126,120,112,96,85,78,84,122,156,188,196,191,188,183,180,173,179,179,195,237,215,180,134,111,83,102,134,133,120,102,98,70,60,117,184,200,197,191,188,188,187,184,180,175,183,176,209,241,216,176,131,110,89,99,114,120,110,87,65,89,164,203,199,193,190,191,190,190,188,185,183,177,181,180,234,231,197,157,120,98,90,101,96,105,97,61,121,202,206,196,197,196,194,194,192,191,191,188,185,179,177,222,241,217,185,145,113,94,94,98,85,79,72,141,212,204,199,199,197,197,196,195,193,191,191,190,187,176,187,243,229,201,176,140,119,103,91,86,64,104,185,213,203,202,203,200,199,198,197,196,194,193,192,190,189,173,202,242,221,173,139,131,117,94,83,59,89,202,213,203,205,204,204,202,201,200,198,196,196,195,192,191,188,175,219,240,212,150,115,109,101,83,67,68,185,213,205,208,207,206,204,204,201,201,200,197,198,196,193,191,190,187,234,235,197,125,108,102,90,72,55,149,217,207,211,210,207,207,205,204,202,201,201,200,199,198,195,193,192
13,174,174,176,174,174,174,176,177,176,175,175,177,177,179,179,178,178,178,179,179,179,178,177,177,177,176,175,174,175,177,178,177,176,177,178,177,178,178,178,177,177,180,181,181,182,181,180,179,181,179,178,178,180,179,176,175,176,179,178,178,179,178,179,179,180,179,180,180,180,180,180,179,179,178,183,185,183,181,179,180,180,179,178,178,176,178,179,179,179,181,181,181,179,179,180,182,182,180,183,192,190,158,130,164,175,181,185,182,182,180,180,180,177,178,179,180,179,182,182,180,180,179,181,183,179,191,217,218,213,175,119,76,98,103,166,187,182,181,181,180,177,178,179,181,181,180,180,181,184,183,181,182,182,189,182,198,212,186,127,73,55,69,94,197,179,182,182,181,179,179,180,181,181,181,181,182,184,180,186,171,145,172,144,135,182,189,155,88,65,126,89,186,183,183,184,182,179,180,181,182,183,183,183,185,183,187,214,171,121,159,174,166,180,173,176,96,59,98,80,184,185,185,185,183,179,180,181,182,182,183,184,183,177,192,223,182,150,112,135,176,183,158,107,62,21,96,171,186,186,186,185,185,179,181,180,181,182,186,179,190,188,120,136,196,175,132,47,91,168,167,128,106,72,70,191,188,186,186,185,185,178,180,182,182,181,177,186,214,181,100,60,159,202,152,71,0,83,124,139,168,148,71,116,201,184,187,186,185,178,179,181,182,180,192,216,195,157,112,65,109,211,152,106,24,13,25,152,192,174,131,66,170,191,186,186,185,180,179,180,179,186,208,184,158,160,131,88,60,205,162,136,65,21,20,103,207,190,157,88,89,196,185,184,184,182,181,182,180,202,189,143,136,171,142,107,26,144,198,156,109,18,32,89,195,197,157,119,64,153,195,185,185,182,181,182,183,205,197,166,128,172,148,120,75,25,183,184,141,72,59,192,185,181,152,127,74,126,202,186,187,181,180,179,184,200,186,168,130,128,157,154,124,15,52,191,173,160,101,188,182,153,119,105,61,137,199,186,187,179,179,180,180,202,207,186,157,119,121,164,136,115,12,119,185,156,161,181,164,140,105,71,54,169,193,187,186,186,186,188,185,200,212,198,171,154,133,135,132,157,83,155,203,187,196,173,152,129,99,63,73,190,188,189,187,131,135,141,138,182,217,206,184,163,154,156,136,103,116,197,212,211,186,169,148,120,88,50,116,203,194,195,193,62,61,65,49,132,223,204,194,176,162,165,165,129,117,183,209,207,185,153,137,112,77,53,98,133,133,137,137,69,68,70,60,90,209,197,198,194,178,167,163,151,107,143,205,196,178,148,116,96,67,62,61,53,49,52,61,68,69,68,71,60,173,197,193,197,193,179,165,149,127,110,184,182,162,139,103,81,65,56,61,70,95,126,158,68,69,71,74,59,105,202,188,199,199,181,166,145,132,113,143,167,144,116,97,76,52,69,146,171,188,195,195,68,70,70,71,75,59,153,200,193,189,170,153,139,125,112,115,140,132,109,89,73,39,142,214,188,179,170,180,69,70,70,68,74,62,88,201,187,169,153,143,134,122,99,97,125,134,118,78,57,55,193,195,176,164,140,134,68,70,69,69,67,72,62,171,193,153,136,139,131,117,92,81,131,148,106,67,40,119,211,187,170,124,112,117,68,69,70,68,67,75,58,143,201,164,157,150,132,111,94,78,140,140,80,57,53,193,204,204,179,114,81,113,69,70,71,67,67,74,57,132,207,175,174,161,138,117,103,76,142,119,71,41,94,207,189,215,200,132,70,92
2,157,170,177,178,183,187,192,197,200,203,205,203,207,213,216,213,221,223,225,222,223,226,226,225,226,227,227,228,160,172,178,179,185,190,193,199,200,200,205,229,248,246,231,227,229,199,173,223,221,220,228,224,225,226,226,225,160,171,179,182,188,193,198,198,210,230,244,231,202,182,144,143,167,139,106,152,161,141,210,229,224,225,225,224,162,173,179,183,189,197,195,212,255,255,197,155,135,132,116,111,115,114,117,121,110,111,208,231,224,225,225,225,165,176,182,185,192,195,218,255,246,180,115,100,106,106,104,108,104,96,118,135,151,209,230,224,224,224,224,223,167,178,183,188,195,199,255,254,158,118,102,86,105,95,93,99,104,141,208,228,233,231,228,227,227,228,226,225,170,180,185,192,196,216,255,213,123,102,98,100,109,93,107,103,198,240,233,231,231,231,231,231,228,227,229,227,173,183,187,195,195,231,255,193,124,99,91,102,98,103,103,138,247,235,235,236,236,236,237,232,238,208,224,232,176,186,190,198,197,253,255,163,103,92,93,92,86,101,94,202,249,240,241,240,242,243,236,241,243,175,226,238,180,189,193,201,200,255,255,164,123,110,108,94,95,95,137,253,244,245,245,245,245,245,243,255,207,156,243,240,184,193,196,200,214,255,252,177,136,119,105,98,117,101,183,255,246,249,250,248,249,245,245,243,169,177,255,243,187,195,200,201,245,255,247,178,131,118,99,102,113,99,216,255,251,253,254,252,255,239,231,223,140,188,255,246,191,198,202,205,255,255,241,172,129,116,100,101,104,100,226,255,255,255,255,255,253,225,232,198,127,176,255,250,193,200,205,207,255,255,236,167,129,112,101,96,108,113,171,253,250,255,255,255,236,237,232,183,120,210,255,254,195,202,208,208,252,255,236,178,138,115,100,99,118,139,132,158,181,186,224,226,231,238,229,161,167,255,255,255,198,204,211,210,255,255,236,182,141,120,101,105,137,151,149,167,188,189,172,203,237,229,191,145,255,255,255,255,201,206,213,214,255,255,237,187,149,123,100,114,145,142,150,175,195,208,204,192,220,209,139,217,255,255,255,255,204,208,216,218,255,255,236,192,160,128,104,121,143,144,173,194,204,194,192,177,180,153,174,255,255,255,255,255,207,211,220,220,255,255,236,197,167,132,110,125,149,164,196,200,195,181,165,158,141,124,255,255,255,255,255,255,210,214,222,226,255,255,232,203,176,135,116,128,151,171,187,192,180,167,153,135,118,222,255,255,255,255,255,255,212,215,224,227,255,255,229,212,185,139,129,132,149,172,176,182,173,157,136,142,246,255,255,255,255,255,255,255,215,218,228,228,255,255,235,224,189,147,138,131,153,168,173,174,166,138,156,255,255,255,255,255,255,255,255,255,218,221,229,232,255,255,242,223,183,152,145,134,159,163,165,164,140,140,255,255,255,255,255,255,255,255,255,255,221,224,232,239,255,255,239,212,180,160,151,133,154,155,150,133,144,255,255,255,255,255,255,255,255,255,255,255,223,226,233,246,255,255,246,215,181,160,148,135,145,151,119,173,255,255,255,255,255,255,255,255,255,255,255,255,224,229,233,255,255,255,255,215,176,154,143,135,145,122,168,255,255,255,255,255,255,255,255,255,255,255,255,255,226,230,236,255,255,254,239,200,157,141,135,137,131,148,255,255,255,255,255,255,255,255,255,255,255,229,162,114,228,233,238,255,255,246,237,201,151,141,143,148,120,218,255,255,255,255,255,255,255,255,255,201,136,95,85,87
24,135,136,137,137,138,138,139,139,139,139,139,139,139,139,138,137,136,134,134,135,133,131,131,131,129,128,126,124,138,139,140,140,141,141,141,141,142,142,141,142,141,141,141,141,140,139,137,137,135,135,134,132,131,130,129,127,141,142,143,143,143,143,144,144,144,143,144,144,144,144,143,143,142,141,140,139,138,136,137,138,134,133,132,130,143,144,145,146,146,147,148,147,146,146,146,146,146,147,146,145,143,143,142,141,141,141,123,119,140,135,134,133,146,147,148,148,148,148,148,148,148,148,148,147,148,148,148,147,147,145,144,144,142,146,117,76,140,138,136,134,149,149,149,150,151,150,150,151,151,155,150,149,149,149,149,148,148,147,147,147,143,151,120,72,138,141,138,136,151,151,151,153,154,153,153,155,145,118,153,153,152,153,152,151,149,149,148,148,145,154,113,75,143,143,140,138,152,153,154,154,154,154,154,156,139,81,117,162,154,156,155,154,153,152,151,149,150,157,105,83,149,142,142,141,154,155,155,156,156,155,155,158,139,99,81,160,156,157,157,156,155,154,153,149,157,156,100,93,154,144,144,142,156,157,157,158,158,158,158,159,154,119,69,144,162,157,158,157,155,155,155,155,162,142,80,107,157,146,146,144,157,158,159,159,159,160,160,159,160,134,73,117,169,158,159,161,161,158,155,145,164,136,63,126,157,149,149,147,159,160,160,160,160,160,160,160,162,148,99,85,167,159,162,147,131,155,147,99,91,125,73,149,154,151,150,148,161,161,162,162,162,162,162,162,164,154,117,64,147,168,152,134,112,110,117,99,69,74,87,161,154,154,152,150,161,163,163,164,164,164,164,164,165,160,127,75,112,174,143,144,123,113,102,115,115,47,99,166,153,154,153,151,164,164,165,165,166,165,165,166,165,164,143,112,81,149,131,154,125,116,118,121,108,49,120,166,156,155,154,153,165,166,166,166,167,166,166,166,165,166,155,125,75,104,109,150,142,91,79,105,122,68,99,169,157,158,155,154,165,166,167,167,167,168,167,167,168,170,161,138,124,101,93,121,141,82,30,97,137,90,62,159,160,158,157,155,166,168,169,169,169,169,169,169,169,171,162,160,140,90,62,99,124,67,36,82,144,126,63,105,170,157,158,158,169,170,171,171,171,171,171,171,170,172,166,158,123,89,70,101,113,67,49,142,155,140,80,68,167,159,159,158,170,171,171,172,172,172,172,172,173,172,171,157,141,130,94,98,126,80,109,166,150,125,67,77,168,160,160,158,171,172,172,172,173,174,173,173,174,174,174,157,153,143,100,95,94,102,167,161,134,115,52,95,174,160,161,160,170,172,172,172,173,173,173,174,173,174,175,155,152,153,120,98,79,153,169,155,129,106,49,116,175,160,161,161,171,171,172,173,173,172,173,173,174,175,175,160,146,145,132,108,85,153,161,146,123,96,47,134,170,160,161,160,172,172,172,173,173,173,174,175,176,174,177,161,141,141,138,125,91,139,164,141,111,78,49,151,167,162,161,160,173,173,173,173,174,175,175,175,176,176,177,168,143,144,138,138,100,122,159,131,98,57,66,171,164,164,162,160,173,173,173,175,175,176,176,174,175,177,176,176,152,148,139,142,102,94,139,106,77,34,98,177,163,165,163,162,168,171,173,175,176,178,178,178,181,182,181,184,160,151,141,131,105,86,107,96,63,35,144,174,166,167,168,155,100,103,106,110,113,117,122,125,128,132,135,137,151,155,135,123,116,93,96,102,48,68,166,159,160,151,110,66
4,208,210,212,212,212,214,215,215,217,217,218,218,218,218,218,219,219,218,217,216,217,218,217,217,218,217,215,214,208,211,212,213,214,217,218,218,219,218,219,219,219,220,220,219,219,219,217,219,218,217,218,218,218,218,218,216,210,212,214,214,214,218,219,219,220,220,219,220,220,222,221,218,219,222,220,219,220,220,220,220,220,220,219,219,213,213,216,218,217,220,220,220,221,221,221,219,218,219,219,226,224,222,221,224,223,223,222,223,223,222,221,220,214,215,217,218,219,220,221,221,222,220,219,225,252,255,228,225,255,249,198,204,223,221,229,225,225,224,222,220,216,217,218,219,220,221,222,224,221,230,247,247,224,255,238,163,208,238,187,138,220,212,194,228,225,224,222,223,218,219,219,220,220,223,225,221,234,255,255,231,152,197,218,147,154,211,150,153,255,210,134,202,231,224,226,225,219,220,222,224,224,224,226,220,255,255,255,229,146,171,231,139,112,222,164,222,255,199,124,201,236,227,229,227,220,221,223,226,227,225,228,221,255,252,235,249,196,138,232,151,137,227,239,255,248,231,146,207,237,229,230,227,221,224,225,227,227,226,229,222,255,252,220,219,175,86,163,245,232,234,246,232,235,254,198,189,239,228,229,230,222,225,226,228,229,227,228,231,255,255,231,193,150,109,98,203,201,206,217,189,246,255,244,176,222,236,231,232,223,226,227,230,231,231,227,241,255,253,207,176,165,146,134,136,137,164,161,139,255,255,255,203,180,243,231,232,226,227,228,230,230,235,229,247,255,255,213,172,145,140,149,155,134,166,137,175,255,255,255,218,156,227,236,233,228,229,230,232,232,235,229,254,255,255,218,176,153,144,154,167,174,204,216,255,255,255,232,198,151,201,245,235,228,229,231,233,235,236,230,255,255,255,229,192,159,148,160,184,190,225,255,255,255,248,213,175,144,203,245,234,230,232,234,235,235,238,232,255,255,255,240,210,166,149,159,184,217,255,255,255,255,238,200,162,143,225,241,236,230,233,235,236,236,238,232,255,255,255,250,217,184,166,165,197,254,255,255,255,250,222,185,147,159,245,238,239,231,233,235,235,237,239,232,255,255,255,255,226,211,182,189,219,255,255,255,255,237,204,169,136,189,251,238,240,234,234,235,236,238,240,234,254,255,255,255,235,225,210,200,223,252,255,255,245,220,187,153,133,224,249,240,241,234,235,236,237,237,239,240,250,255,255,255,247,234,221,201,202,240,255,243,228,207,169,140,151,248,243,243,241,235,236,238,241,244,245,241,240,255,255,255,249,235,214,205,200,224,255,224,205,190,158,124,195,255,242,244,242,237,237,241,227,206,189,171,158,159,158,143,132,127,130,138,149,177,206,205,197,177,144,127,240,251,246,246,245,236,242,193,168,155,150,143,139,128,116,104,91,81,78,62,57,73,81,96,123,150,119,168,255,246,247,246,244,238,244,172,154,158,152,146,142,127,118,104,93,89,81,64,64,70,65,53,48,61,84,233,255,247,247,246,245,237,249,194,148,152,148,144,138,118,107,99,89,86,75,67,66,72,62,55,55,52,39,126,255,247,248,249,248,239,250,212,150,152,143,144,131,118,104,97,88,84,74,67,67,69,59,51,49,50,53,25,200,255,247,251,250,241,248,223,157,149,147,144,132,114,105,95,86,80,75,66,67,64,57,49,47,49,47,53,231,255,250,251,250,241,248,230,153,147,152,136,125,112,103,92,84,77,73,68,66,62,55,48,45,54,29,151,255,248,252,252,251
8,243,243,244,245,244,244,246,244,243,241,244,211,217,243,238,237,238,237,235,232,231,231,230,228,226,225,223,220,243,244,245,246,246,246,246,245,245,245,251,182,170,251,239,241,240,240,236,234,232,232,231,230,227,226,225,221,245,246,247,248,247,248,248,251,245,255,245,151,167,253,239,243,243,242,238,237,235,235,233,232,230,227,225,223,247,248,249,252,250,249,252,252,246,255,235,129,192,255,242,243,243,241,241,240,238,236,235,234,233,229,226,226,249,250,251,253,255,253,252,253,248,255,234,137,210,255,245,246,245,243,242,240,238,238,237,235,234,231,229,228,250,252,252,254,255,254,253,254,251,255,210,134,222,255,246,251,247,243,242,241,240,240,238,237,234,233,231,230,252,254,255,253,253,255,255,255,255,255,199,141,231,255,246,199,233,255,247,242,241,241,239,239,236,235,234,229,254,255,255,255,255,255,255,254,255,255,216,187,229,255,255,195,167,213,231,250,241,243,240,239,238,237,235,230,255,255,255,255,255,255,255,252,255,255,232,211,237,249,255,248,193,163,150,182,253,235,248,242,238,236,235,232,255,255,255,255,255,255,255,255,255,255,247,222,255,252,236,255,238,235,188,110,166,164,162,239,243,238,237,234,255,255,255,255,255,255,255,255,255,247,232,247,255,246,196,221,243,222,194,119,79,104,84,164,254,238,240,236,255,255,255,255,255,255,255,255,255,225,236,226,248,224,182,123,230,239,199,134,80,90,91,120,252,241,239,237,255,255,255,255,255,255,255,255,249,204,200,206,244,195,158,75,176,255,206,142,85,112,87,151,255,239,239,239,255,255,255,255,255,255,255,255,255,223,167,174,228,172,124,95,179,255,215,149,83,84,93,231,250,242,242,241,255,255,255,255,255,255,255,255,255,220,184,171,234,221,216,254,236,243,205,154,93,62,199,255,243,243,242,239,255,255,255,255,255,255,255,255,250,225,206,168,193,255,255,246,245,196,186,162,89,164,255,248,247,246,244,242,255,255,255,255,255,255,255,255,254,223,179,178,251,255,249,216,249,175,166,156,86,232,255,251,248,247,246,244,255,255,255,255,255,255,255,255,255,211,182,244,255,255,239,206,228,173,137,118,107,255,254,253,252,247,245,245,255,255,255,255,255,255,255,255,255,207,231,255,255,251,230,194,199,167,120,80,174,255,253,255,253,249,248,246,255,255,255,255,255,255,255,255,245,215,230,255,249,232,207,182,184,138,98,78,239,255,255,255,254,252,250,247,255,255,255,196,113,242,255,248,221,210,220,235,234,213,190,178,153,113,68,133,255,255,255,255,255,252,250,246,255,255,246,113,95,98,192,236,214,212,211,226,231,197,174,146,110,90,71,231,255,255,255,255,255,253,252,248,255,255,153,92,103,96,91,166,219,224,202,221,215,171,143,112,100,62,173,255,255,255,255,255,255,254,252,250,255,210,99,101,93,94,92,55,99,132,153,203,186,128,106,99,64,138,255,255,255,255,255,255,255,255,253,250,250,115,96,96,90,85,99,63,46,64,66,95,111,94,80,59,156,255,255,255,255,255,255,255,255,254,253,250,137,95,98,93,84,82,95,71,31,64,60,46,44,53,38,183,255,255,255,255,255,255,255,255,255,253,252,249,94,88,85,88,84,75,93,63,23,55,54,44,44,38,33,102,222,255,255,255,255,255,255,255,255,253,250,246,101,83,58,122,104,62,90,40,26,48,47,39,38,39,41,11,136,255,255,255,255,255,255,255,255,255,252,248
10,131,133,135,138,138,140,142,142,144,144,144,145,146,149,151,151,150,150,151,151,151,152,152,151,149,150,151,151,134,137,139,141,142,143,145,146,146,147,147,149,150,151,153,148,151,152,153,153,153,153,154,153,152,152,152,152,139,141,143,145,147,148,149,150,151,151,152,153,154,154,170,132,133,155,156,157,157,157,156,156,155,153,153,153,143,146,149,149,151,153,153,154,155,155,157,157,157,157,181,134,114,160,159,159,160,160,160,159,158,157,156,155,147,149,153,154,156,156,156,158,159,158,161,161,160,161,187,140,106,162,162,163,164,163,161,160,161,160,159,159,152,153,157,159,160,160,161,162,164,164,164,164,164,164,191,149,107,165,166,165,166,166,164,164,164,163,161,160,155,157,161,164,163,163,165,168,160,164,168,168,168,169,194,157,110,167,171,170,169,169,168,167,167,165,164,163,159,161,164,166,166,167,168,174,127,108,152,151,166,173,198,166,110,165,173,174,173,173,172,171,169,169,169,167,162,165,167,169,171,172,172,157,99,66,84,94,122,176,198,170,109,163,176,177,177,176,175,174,173,172,172,170,165,168,170,172,174,174,176,172,111,68,82,82,90,179,205,177,109,165,180,180,180,180,179,177,176,175,175,173,166,171,174,175,176,177,179,181,162,101,137,100,79,166,176,160,105,168,183,183,183,183,183,182,180,179,178,177,170,174,177,179,179,180,183,193,165,92,176,144,95,118,105,121,99,169,186,187,187,187,186,184,183,182,181,180,173,176,179,181,183,183,181,203,168,78,148,165,120,76,75,94,90,170,189,189,190,189,188,187,186,184,183,182,176,179,182,184,191,200,189,202,175,99,90,178,149,94,75,94,85,169,190,191,192,192,191,190,189,187,187,186,178,181,183,186,191,206,187,191,183,127,61,160,173,123,84,89,83,172,194,194,194,194,193,192,192,191,189,188,180,184,186,188,189,177,165,151,208,162,74,104,181,149,101,78,81,168,196,196,195,196,195,195,194,194,191,189,183,186,188,190,190,180,159,128,180,133,62,85,161,160,126,80,78,171,199,199,198,198,197,197,196,194,193,192,186,188,190,191,193,194,157,140,131,79,78,120,154,158,130,82,73,176,201,201,200,200,201,200,197,195,195,195,187,189,192,194,195,207,185,149,123,104,160,190,171,144,120,84,78,184,202,202,202,201,201,200,199,198,197,197,189,192,193,196,197,213,189,169,163,154,209,206,175,132,110,87,93,198,203,203,204,202,202,200,200,200,199,198,191,194,194,196,199,210,200,186,179,168,216,200,167,129,102,88,110,205,205,204,204,204,203,202,202,202,201,200,192,194,196,198,200,207,202,182,183,173,209,187,156,124,98,85,118,207,207,207,206,206,205,203,203,202,202,201,194,196,198,201,200,202,204,194,192,172,194,178,147,118,93,84,125,208,208,208,208,207,207,207,206,203,202,202,195,197,198,200,201,200,198,197,189,166,190,173,141,112,92,85,138,209,209,209,209,209,208,207,207,205,204,204,195,199,200,201,203,202,198,193,178,157,175,168,141,115,95,86,165,210,210,210,209,208,208,208,207,207,206,205,196,198,200,200,202,202,206,185,163,155,170,154,151,130,98,98,198,212,213,213,212,210,210,210,209,209,208,207,196,198,200,202,203,199,213,198,181,173,166,159,163,136,93,130,210,214,215,214,214,214,213,212,211,210,209,208,194,196,199,201,201,192,211,205,191,179,160,162,154,127,84,176,213,214,214,214,214,213,214,214,212,211,209,208
0,191,192,194,196,197,199,199,200,201,202,203,203,204,204,204,204,203,204,205,204,203,201,201,200,199,200,200,199,191,193,194,197,198,199,201,201,203,203,204,204,205,205,205,205,204,205,205,205,203,202,203,203,201,200,201,199,193,194,197,198,199,200,202,204,204,206,206,206,206,206,206,207,204,204,205,206,205,204,203,202,203,201,202,201,193,194,196,198,198,199,202,204,204,206,205,206,207,209,207,207,207,208,204,206,206,205,204,203,202,201,203,202,193,196,197,198,199,201,204,204,206,211,208,205,199,191,206,206,190,192,207,204,205,205,207,204,204,203,203,203,194,196,198,199,201,203,204,204,203,183,194,222,191,150,153,209,177,128,172,221,207,190,172,211,204,205,205,205,195,197,199,200,201,204,203,209,210,177,141,208,209,165,122,209,183,136,120,173,181,201,139,191,212,204,206,205,197,198,200,200,202,204,202,224,224,206,148,144,216,158,128,213,180,142,95,135,156,205,177,146,194,211,204,206,198,198,200,202,205,203,213,216,212,212,157,109,199,165,136,217,183,123,123,173,134,197,199,174,145,182,211,206,198,200,202,203,206,202,225,198,192,202,133,114,196,154,142,208,167,103,138,177,108,181,221,194,150,113,210,207,199,201,203,204,203,203,230,204,193,184,111,130,190,134,134,187,152,97,138,173,117,212,229,189,135,110,209,207,200,201,203,206,203,218,223,193,187,179,123,132,171,122,118,167,141,86,142,159,155,216,200,171,101,155,219,206,201,203,205,206,203,232,225,185,150,160,123,118,171,123,107,173,123,107,178,169,183,187,164,134,99,202,213,210,201,204,204,207,205,233,224,199,170,125,82,126,197,130,113,192,176,192,182,170,148,162,141,97,140,220,209,212,202,204,205,206,209,234,215,199,186,162,116,113,144,111,119,214,211,192,173,162,127,128,128,85,180,220,210,210,202,204,206,205,215,238,216,199,186,177,142,108,123,151,208,221,208,183,165,151,120,110,107,92,209,215,211,211,203,204,206,204,220,239,221,202,188,185,156,128,134,191,227,217,200,174,154,136,109,105,80,150,223,212,211,213,204,205,207,205,220,238,225,206,190,186,165,134,139,204,228,211,193,166,144,120,103,85,106,217,213,213,212,211,204,205,207,207,214,238,226,210,195,182,165,134,167,210,218,202,189,159,131,108,94,81,190,221,214,215,212,212,202,205,208,208,213,237,225,213,199,179,161,150,193,206,194,194,179,147,115,100,73,160,226,215,215,215,216,215,205,205,210,206,216,238,228,224,200,178,170,176,204,183,179,180,163,132,107,77,125,225,216,217,217,217,217,217,205,206,209,202,229,237,230,229,204,185,176,185,195,166,174,165,143,116,88,94,215,220,219,218,218,217,217,217,206,207,205,208,236,225,227,224,193,182,181,182,168,165,166,152,131,99,86,193,224,218,218,218,218,217,216,216,204,206,202,218,217,201,214,207,179,179,180,168,161,159,144,135,106,81,176,224,216,220,217,218,217,216,216,216,205,202,200,225,204,182,183,181,172,171,172,159,149,146,130,111,86,159,220,217,219,219,218,217,216,216,216,216,208,192,213,222,186,176,168,160,159,180,170,134,140,140,114,81,158,221,217,221,220,219,219,218,218,217,217,217,200,192,232,214,172,158,164,144,152,180,150,121,142,128,85,134,218,220,219,220,219,220,219,219,219,217,218,217,187,215,229,210,169,146,153,136,154,167,137,124,132,99,98,204,219,220,221,220,220,220,219,219,219,219,219,217
19,170,170,171,173,174,175,174,175,175,175,175,174,174,174,173,173,172,170,170,170,169,169,168,167,168,166,165,163,170,171,173,174,174,176,176,176,177,177,176,176,175,175,174,174,173,171,170,171,170,169,169,168,168,168,167,166,171,173,174,174,176,177,177,177,177,177,177,177,176,176,176,174,173,173,172,172,172,171,170,170,171,169,168,168,173,174,175,175,177,177,178,178,178,177,179,177,176,177,177,175,174,174,174,173,173,173,172,171,171,169,169,169,174,175,176,176,178,179,180,180,180,180,181,179,178,178,177,177,175,175,175,174,174,174,173,172,170,170,170,169,174,175,177,178,179,181,181,181,181,181,181,181,181,179,177,177,176,176,176,176,176,175,173,173,172,171,170,170,175,176,179,180,181,181,183,183,183,183,182,181,181,180,179,180,178,177,177,176,177,176,174,174,173,171,171,171,177,179,180,181,182,183,183,183,184,183,183,182,182,181,181,182,182,180,180,179,178,177,176,176,174,175,173,172,178,180,181,182,183,184,185,184,186,185,183,182,182,181,178,164,166,178,174,174,175,175,172,172,177,156,170,173,178,180,181,182,183,183,184,184,184,181,182,184,183,186,183,167,172,185,172,170,178,173,172,172,163,105,161,177,179,182,182,183,185,187,185,188,191,168,159,166,174,177,171,168,173,175,166,173,187,176,157,136,116,136,175,175,181,182,182,183,186,187,185,185,168,159,166,169,167,171,167,156,128,130,128,130,153,142,136,141,162,179,177,176,181,182,183,185,186,182,189,192,176,179,184,178,165,159,137,132,120,98,98,138,172,172,181,184,182,179,177,178,182,183,184,186,187,179,212,216,199,188,185,178,172,155,118,92,109,98,95,170,189,183,181,179,179,179,178,178,184,184,184,187,189,181,216,212,183,161,143,145,147,140,118,99,108,99,107,182,184,182,181,181,180,181,180,178,185,185,186,187,191,181,202,201,167,133,122,94,99,147,124,104,109,100,116,186,184,183,183,182,181,182,181,180,184,186,188,188,191,177,195,197,160,120,96,76,122,156,126,108,112,99,135,192,184,186,184,183,183,181,180,180,185,187,189,189,193,175,195,200,169,141,105,87,124,121,110,110,108,107,124,192,186,186,185,185,183,181,181,180,186,188,188,188,193,173,194,201,173,144,123,103,75,67,70,82,95,105,104,185,188,186,186,185,185,182,182,181,187,189,188,190,195,169,192,201,173,147,122,116,103,82,76,84,97,101,102,175,191,188,187,186,186,184,182,183,188,189,189,190,196,173,185,198,171,146,123,116,116,101,96,100,105,108,105,175,192,188,188,186,186,186,185,184,187,188,189,190,197,174,184,195,168,143,126,118,118,103,99,103,108,112,113,183,190,188,188,187,187,188,187,185,187,190,190,192,198,180,184,192,165,142,125,117,116,106,102,106,112,111,128,193,190,189,189,189,188,188,187,185,188,190,191,192,197,180,191,190,160,138,125,115,115,113,110,113,121,111,161,197,190,190,190,190,189,187,187,185,189,190,192,193,195,179,196,194,164,142,129,117,115,120,118,121,117,133,192,194,193,192,191,190,189,188,188,187,189,190,192,194,194,177,200,190,170,151,131,117,115,122,121,119,142,186,196,194,194,194,193,192,190,189,187,187,188,189,190,193,190,181,197,181,162,151,131,117,120,120,114,152,196,194,193,194,193,191,190,190,190,189,188,186,188,188,191,194,187,195,196,183,159,143,131,119,119,113,115,178,195,191,192,193,192,191,189,189,189,187,187,186
11,115,120,126,132,137,140,145,148,151,154,155,159,169,146,158,159,158,159,158,158,158,157,156,155,143,161,171,178,118,124,131,137,141,145,150,153,157,159,159,165,181,121,154,163,161,161,160,159,158,157,156,154,154,170,178,182,122,128,136,144,148,152,156,160,162,164,165,172,197,115,140,168,165,165,164,163,162,161,159,157,167,136,175,184,127,132,141,149,154,157,162,166,169,172,172,180,201,112,130,175,171,170,169,168,167,166,164,162,164,166,183,184,131,137,147,155,160,164,169,173,176,178,179,187,197,108,132,180,177,176,175,174,173,172,170,167,166,168,150,176,134,141,152,160,166,170,175,179,182,185,185,197,201,110,139,187,183,183,182,181,179,177,174,172,170,164,149,179,137,145,157,165,171,176,181,185,188,191,191,214,196,99,151,193,190,189,189,187,185,182,180,178,175,172,170,186,141,150,163,171,176,181,186,191,194,197,197,226,191,97,167,199,196,195,195,193,191,189,186,183,181,177,176,194,145,154,167,175,181,186,191,196,199,201,206,207,139,96,175,203,201,199,199,199,197,195,193,189,186,183,181,198,149,158,170,179,185,191,196,200,203,204,223,198,111,90,181,208,205,204,204,203,202,200,198,195,191,188,186,199,152,161,174,183,189,194,200,204,212,205,155,161,133,101,189,211,209,208,208,207,206,204,201,199,196,192,184,200,154,165,178,186,192,198,203,211,235,200,109,101,142,109,184,215,213,212,212,210,209,208,206,203,202,170,114,195,157,168,181,190,195,201,209,175,172,175,133,96,132,111,164,218,215,215,215,214,212,210,209,206,203,123,70,123,159,171,183,192,199,217,223,163,109,121,153,107,108,113,137,218,218,219,218,217,211,200,187,183,170,87,68,64,161,173,186,196,218,218,192,182,147,102,128,110,93,121,111,209,223,221,216,210,207,188,168,161,135,82,67,64,163,175,189,218,220,164,127,154,171,113,92,99,84,141,130,182,220,217,215,213,206,178,149,128,103,70,61,62,165,177,192,226,199,142,104,93,156,116,84,100,73,135,151,122,179,216,220,198,163,127,88,61,56,54,52,58,166,179,191,217,178,122,89,70,129,122,90,111,76,108,145,124,178,206,188,140,98,72,50,47,47,47,51,47,167,180,190,208,175,126,98,80,99,125,102,128,105,150,160,141,166,161,119,73,51,59,55,41,42,45,51,28,166,180,190,211,190,143,111,90,90,109,124,153,150,189,159,125,129,95,52,52,44,46,57,49,35,36,37,33,168,181,192,215,198,155,127,99,99,114,168,208,210,185,141,113,84,55,39,41,49,41,46,52,42,34,32,34,169,182,193,215,203,170,138,107,114,124,192,218,200,164,124,93,37,37,50,35,45,47,39,42,46,35,31,32,159,169,180,205,203,177,144,120,124,129,186,205,176,140,110,78,33,22,48,45,36,46,43,36,39,40,28,31,117,120,121,160,198,184,152,134,130,130,168,191,165,127,96,58,45,17,37,50,41,39,43,36,31,38,29,24,115,115,115,132,189,186,159,145,134,124,154,172,150,112,65,34,52,21,23,46,45,41,38,36,28,32,33,22,116,117,117,125,186,185,164,150,133,113,136,140,117,78,35,24,50,33,13,36,48,40,37,35,29,27,28,27,116,117,118,124,186,192,168,148,129,113,118,116,83,35,30,27,43,46,16,23,45,42,35,35,32,27,24,24,116,117,118,116,176,189,156,135,124,114,114,102,64,27,13,29,37,51,28,14,36,43,33,33,33,26,25,21
4,106,109,112,116,119,123,128,131,133,134,139,140,141,144,147,147,147,148,149,150,152,152,151,151,151,152,151,150,107,111,114,117,121,125,130,133,135,137,139,141,145,145,147,151,153,149,152,153,152,154,154,153,154,154,152,152,108,114,114,118,122,127,131,133,138,139,142,149,143,155,141,103,131,160,149,152,159,155,156,156,156,155,154,154,110,115,116,120,124,128,132,136,137,143,133,127,149,184,156,104,77,140,129,89,136,163,155,158,158,157,156,156,112,116,118,122,127,131,134,134,150,179,142,119,120,181,161,137,99,83,133,81,65,154,161,160,161,160,159,160,114,116,117,122,127,132,139,129,173,212,174,154,99,142,178,138,115,58,119,106,61,112,171,159,161,162,160,161,115,117,118,123,129,133,135,133,163,191,205,175,126,99,185,149,115,52,112,113,66,103,174,161,163,163,163,162,115,118,122,126,132,131,149,159,145,142,160,186,128,65,135,157,96,47,104,112,58,100,174,162,163,163,163,163,117,119,122,126,133,126,180,200,179,164,122,101,98,50,74,112,68,47,83,91,49,113,174,162,165,164,163,164,117,119,123,127,134,128,187,183,178,171,120,53,56,52,38,79,49,20,50,47,38,136,172,165,168,166,165,165,117,119,123,128,134,133,177,115,110,130,87,47,38,67,23,63,70,88,118,58,29,156,170,165,168,167,167,167,120,122,123,129,135,137,170,96,41,88,95,52,36,58,60,84,136,173,152,88,46,119,176,170,166,170,169,168,121,123,124,130,136,136,169,119,86,68,104,69,67,112,123,135,161,169,124,82,72,57,100,162,175,169,170,170,121,123,125,131,137,135,168,138,110,72,65,47,70,142,113,129,139,124,90,76,80,77,61,69,136,177,169,171,122,125,128,132,138,136,165,153,100,63,48,36,29,83,84,87,83,76,63,73,78,79,79,64,55,161,175,170,123,125,129,134,140,136,163,164,112,88,70,54,35,25,51,70,76,66,50,58,76,88,78,74,59,142,178,169,124,125,128,134,140,137,159,178,142,96,75,60,48,41,65,114,120,115,108,85,81,102,80,70,75,160,177,171,123,126,129,135,140,140,157,177,143,108,100,75,60,50,90,149,164,165,157,129,105,95,81,69,110,178,173,174,123,127,130,136,141,141,154,180,145,134,118,82,66,59,100,170,176,169,152,122,100,79,72,75,154,179,174,176,125,126,130,136,140,142,151,174,149,144,119,76,69,68,99,171,164,153,140,117,91,77,69,98,180,176,177,176,126,127,131,136,140,146,149,169,151,136,109,72,76,75,101,157,145,137,131,108,83,78,73,134,185,176,177,177,126,126,131,136,142,148,148,167,153,132,103,75,86,84,116,146,135,132,118,93,77,78,86,165,180,176,178,179,125,127,132,138,143,147,150,161,160,131,98,92,109,94,119,135,128,121,95,79,76,75,122,183,177,179,180,179,126,127,132,138,143,147,152,156,157,130,109,114,114,97,95,112,106,96,78,73,74,89,166,181,180,180,180,179,127,128,133,139,144,148,153,155,161,140,119,114,103,87,74,81,80,74,72,80,74,126,186,181,182,182,181,180,126,127,133,138,143,148,153,154,161,157,117,96,87,76,72,74,74,74,76,82,62,136,189,180,182,181,180,181,127,129,135,140,144,149,153,157,158,162,120,80,69,67,70,78,77,75,76,77,51,114,192,179,181,183,183,183,128,130,135,139,144,148,153,158,158,157,135,90,79,82,83,85,81,73,74,72,56,95,188,180,181,183,184,184
14,159,160,162,161,162,164,165,161,169,189,177,145,118,88,144,166,166,169,164,164,165,165,164,164,163,162,162,161,160,162,163,164,163,165,161,173,200,174,120,98,85,76,99,145,145,144,166,165,165,165,165,164,164,164,164,163,161,163,165,165,165,161,184,207,185,133,79,78,76,78,107,130,114,89,167,167,167,168,168,167,166,166,165,164,163,165,166,166,164,171,216,188,133,93,77,83,71,58,79,98,79,115,178,166,168,170,168,168,169,168,166,165,165,167,167,169,161,187,217,168,87,61,58,66,71,83,78,88,100,115,150,171,169,170,171,170,171,168,168,167,165,167,168,171,164,200,216,162,87,60,54,58,73,90,68,77,128,137,99,128,178,169,172,173,170,170,169,169,165,167,170,171,169,213,205,140,81,66,73,55,57,67,63,62,85,100,73,147,184,172,172,173,173,172,171,171,167,169,171,170,177,217,198,134,74,66,83,64,69,85,94,93,79,84,78,115,137,174,175,173,174,174,173,173,170,171,173,168,186,217,204,159,102,72,71,70,79,72,79,72,80,95,99,98,84,143,177,175,175,175,174,173,171,173,175,168,201,217,205,160,114,83,59,82,86,73,105,130,169,153,126,109,138,120,159,182,176,175,176,176,173,175,174,172,210,217,207,158,109,88,67,82,71,149,190,183,180,184,182,144,155,118,164,183,177,178,176,177,174,175,175,176,214,217,209,166,118,85,72,67,80,177,180,180,180,185,161,130,149,113,173,182,179,178,178,178,176,178,176,182,217,217,212,173,129,89,71,63,147,188,181,182,182,186,153,131,147,107,171,184,180,180,178,179,177,179,176,183,217,217,213,178,133,97,62,81,188,182,184,183,181,191,146,123,147,102,145,190,181,181,181,180,178,180,181,185,217,216,213,181,140,106,60,115,195,181,185,184,187,183,131,122,137,110,121,191,182,183,184,183,179,181,181,186,217,216,214,183,142,107,63,121,193,189,191,192,190,129,124,144,136,102,139,192,183,184,184,184,181,181,179,188,217,216,214,184,142,110,89,58,91,123,125,150,139,105,130,135,122,117,186,187,185,184,183,183,181,181,180,188,217,216,215,180,144,122,104,67,67,75,84,96,101,113,128,129,104,164,193,185,186,185,184,184,182,183,181,193,217,216,214,177,153,137,114,77,78,92,101,112,115,110,121,108,138,195,187,189,187,187,186,185,184,185,181,199,217,216,212,183,165,146,118,89,83,102,106,110,115,112,99,108,191,191,190,190,188,187,187,187,184,187,183,201,217,216,212,193,174,147,117,98,86,101,108,109,113,111,88,162,197,191,191,190,189,189,188,188,185,186,184,206,217,216,212,201,178,147,116,99,89,97,109,105,111,94,147,199,190,191,192,191,191,190,191,190,184,186,182,208,216,215,212,201,175,134,98,90,85,95,104,106,97,115,200,192,193,192,192,192,191,190,191,190,191,194,196,217,217,217,214,195,158,103,79,82,80,91,98,103,92,176,198,192,194,193,193,193,193,192,191,191,164,149,140,149,132,126,109,93,78,57,49,59,76,89,92,86,152,203,193,196,195,195,196,195,193,193,192,193,87,77,66,59,52,47,39,35,36,32,22,22,34,59,79,146,203,193,195,196,195,195,196,196,195,195,192,194,82,77,68,63,60,54,43,41,39,30,22,21,20,14,43,201,197,197,198,198,198,197,197,197,195,195,195,195,81,75,67,61,54,50,42,39,35,28,20,18,21,14,47,203,198,200,199,198,199,197,197,197,196,196,196,196
6,233,236,238,240,241,244,245,245,245,244,244,244,243,242,240,240,239,238,237,235,233,231,231,229,230,228,226,225,236,239,242,242,242,245,245,246,246,245,245,246,245,244,242,240,240,239,239,236,235,233,233,233,233,230,227,226,238,241,243,243,246,247,247,247,247,247,247,247,247,245,244,243,244,242,240,239,239,236,235,234,233,231,230,228,240,242,244,245,248,247,248,248,248,249,249,248,247,246,247,245,244,243,242,242,241,239,236,235,233,232,230,229,240,244,247,246,248,250,250,250,250,250,250,249,249,248,245,246,245,243,243,243,241,241,238,237,235,234,232,231,242,245,248,248,250,250,251,252,251,251,250,249,249,248,247,249,248,246,247,247,246,246,244,240,237,236,234,231,245,246,250,250,252,254,253,253,252,252,253,254,254,251,249,248,244,239,230,224,225,216,208,204,201,179,209,227,248,249,250,251,252,255,255,254,255,254,250,236,228,231,229,213,195,180,160,177,193,201,184,183,182,154,212,228,248,250,253,254,254,255,255,255,255,241,226,192,183,186,190,202,189,173,164,167,183,194,175,168,160,139,158,177,248,250,255,255,255,255,255,255,250,239,223,204,187,171,132,157,165,161,137,119,128,120,119,122,133,141,163,200,250,252,255,255,255,255,254,251,239,222,217,203,199,198,130,89,89,85,90,133,167,192,207,225,241,242,245,244,251,254,255,255,255,253,241,244,219,202,210,210,215,173,114,93,74,156,217,248,255,255,255,253,249,247,243,241,252,255,255,255,248,238,235,222,210,207,202,212,213,156,97,94,88,145,255,254,251,249,248,248,248,247,245,243,253,255,255,248,239,237,228,219,216,205,200,211,201,187,144,96,94,72,168,255,251,252,251,251,250,247,245,244,255,250,245,245,239,232,220,215,211,202,199,200,201,203,168,111,88,96,86,232,255,252,252,251,250,249,246,245,224,255,247,239,229,226,215,207,201,196,195,197,204,202,155,109,93,96,70,189,255,252,253,252,251,250,250,248,100,177,255,248,227,215,206,198,195,193,191,194,201,202,171,119,87,90,93,242,255,255,255,255,254,251,250,248,99,83,134,224,227,209,207,203,198,197,198,195,203,201,191,141,91,84,92,248,255,255,255,255,254,253,251,250,93,96,64,84,183,224,204,197,196,195,200,202,201,202,184,132,95,97,75,223,255,255,255,255,255,255,253,251,91,71,67,55,71,163,196,196,199,198,191,181,177,172,146,122,104,101,91,247,255,255,255,255,255,255,253,251,71,63,60,66,60,57,133,190,195,188,178,163,153,141,125,115,113,111,76,179,255,255,255,255,255,255,254,251,61,68,66,62,58,56,52,115,188,190,172,155,143,156,145,110,112,112,70,179,255,255,255,255,255,255,255,252,63,69,70,62,52,60,55,42,109,167,151,135,113,134,107,90,107,109,167,255,255,255,255,255,255,255,255,255,66,69,63,56,51,53,46,48,42,104,108,105,162,244,220,195,222,246,255,255,255,255,255,255,255,255,255,255,64,63,51,49,48,46,44,41,43,22,114,248,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,65,50,45,44,47,43,39,39,32,75,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,58,41,43,44,40,35,36,39,19,141,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,50,46,45,34,42,43,28,40,22,183,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251
20,177,180,183,185,189,193,194,197,198,200,202,204,206,205,208,211,210,209,210,212,213,212,212,211,212,212,213,212,180,183,185,187,191,194,195,198,200,201,202,206,207,207,211,192,200,215,214,212,214,214,215,215,215,215,215,215,180,183,186,190,194,195,198,201,201,202,204,207,210,207,229,169,155,187,188,220,217,218,219,217,216,217,217,217,182,186,189,190,194,196,201,202,203,205,209,211,211,210,240,175,185,191,136,218,220,219,218,217,216,218,219,216,183,186,189,192,195,198,201,202,203,206,210,211,210,212,234,174,203,209,130,208,222,219,220,219,219,221,220,218,185,188,191,193,197,200,202,204,206,208,210,211,209,219,250,189,207,215,138,207,226,222,223,222,222,222,221,221,186,190,191,194,198,200,203,206,209,209,211,215,208,231,248,187,226,218,146,202,228,223,224,223,223,223,223,222,186,189,193,196,199,201,204,207,210,211,201,204,217,233,222,180,230,212,140,195,232,224,225,223,223,224,223,222,187,190,194,196,200,204,206,207,210,216,200,144,188,247,209,171,236,198,134,199,234,227,227,225,225,226,224,223,188,191,195,199,201,205,208,207,208,226,202,161,127,209,197,170,237,195,137,212,231,227,229,226,226,225,224,223,190,192,195,200,202,205,207,216,192,194,212,199,185,144,141,152,207,187,138,218,231,228,229,227,228,227,227,225,190,193,197,201,202,202,218,243,187,150,219,227,216,168,112,110,171,172,133,220,231,229,230,229,229,228,228,229,191,193,196,200,203,204,222,206,217,183,145,183,226,203,144,112,144,141,128,227,231,230,232,231,230,228,228,229,192,194,199,203,205,202,230,197,165,158,91,94,213,233,186,120,122,130,121,224,232,231,233,232,232,231,230,229,192,193,198,203,206,205,227,191,158,152,116,112,175,251,211,148,111,123,120,225,234,232,233,231,230,230,230,230,192,194,198,203,205,205,233,228,194,163,131,144,158,251,233,179,123,108,112,226,235,232,232,231,229,231,230,228,193,195,199,205,207,206,247,217,172,152,143,161,178,251,233,194,139,99,105,224,237,233,234,232,231,230,231,230,193,197,199,204,208,208,244,211,176,165,168,165,236,255,216,190,146,98,106,229,237,235,235,234,232,231,230,231,195,197,201,206,207,211,252,220,189,178,178,182,255,255,218,183,152,102,113,234,235,235,235,234,232,233,233,231,196,198,202,207,209,211,254,228,201,172,191,214,255,247,225,183,152,103,124,241,234,235,235,234,232,233,234,233,195,199,202,206,210,211,255,237,206,187,188,230,255,230,218,176,149,99,142,244,233,235,235,234,233,235,234,233,195,198,202,207,212,209,252,239,211,216,189,235,255,228,213,181,142,98,156,246,232,235,235,235,234,235,234,233,195,199,203,207,211,209,239,247,227,234,208,219,245,219,207,181,138,95,154,247,234,237,236,236,235,236,235,233,195,199,204,208,210,211,223,248,236,237,222,210,230,215,205,180,138,98,160,246,233,237,236,236,236,236,235,235,193,199,204,209,210,212,214,243,241,225,207,211,218,207,204,196,139,98,181,246,234,237,236,236,236,236,237,235,194,198,203,208,211,214,212,241,229,212,195,199,214,204,203,196,142,105,209,243,237,238,237,236,236,237,236,235,194,199,205,208,210,213,214,240,220,207,197,193,214,207,197,193,130,121,236,238,238,238,238,238,238,238,237,236,193,200,205,208,211,214,215,245,239,226,205,199,220,198,186,184,113,152,249,236,239,239,238,238,238,238,238,238
22,120,125,128,131,132,135,138,140,142,142,144,145,145,146,144,145,148,146,146,144,143,144,143,142,140,139,139,138,124,128,131,133,135,138,140,142,145,142,149,148,148,147,154,140,130,150,146,147,146,146,146,145,142,141,140,140,126,130,133,135,138,140,142,144,146,159,122,142,153,146,177,134,81,156,148,149,150,150,147,147,145,144,144,142,127,132,135,139,142,143,145,146,152,182,86,126,160,150,180,130,87,157,150,153,131,134,152,147,147,147,146,146,129,134,138,141,144,147,148,148,155,174,91,119,163,153,171,120,94,160,152,159,108,94,160,149,150,148,148,148,132,136,140,143,146,148,149,151,153,178,107,106,166,156,165,124,103,164,157,168,102,99,163,152,153,150,151,150,133,137,142,145,148,149,152,156,153,182,129,101,166,159,170,133,106,164,163,170,95,116,164,154,155,152,153,153,136,140,144,148,151,152,155,159,155,184,151,98,160,163,163,128,104,165,174,170,88,137,163,156,157,155,154,154,139,143,148,150,152,155,156,159,156,183,154,86,148,167,161,123,105,170,182,162,86,153,164,159,159,158,157,156,139,145,148,151,154,156,159,161,157,187,181,95,130,171,174,119,107,178,182,135,86,166,163,162,161,161,158,157,141,145,149,153,156,159,161,164,160,177,181,102,123,177,175,108,117,191,190,105,101,175,162,164,163,162,161,159,143,148,152,156,157,159,163,165,183,171,158,123,117,151,169,101,141,198,174,83,135,175,166,166,165,164,163,161,144,148,152,156,159,162,163,171,209,162,174,189,167,116,115,167,170,178,142,79,162,172,169,167,166,166,165,165,145,150,154,159,162,164,164,175,200,152,107,196,191,138,68,130,147,153,106,92,177,170,170,170,168,168,167,166,147,153,157,160,164,167,166,181,185,173,84,92,181,168,114,62,94,109,71,118,182,170,172,171,169,169,168,167,150,155,158,161,166,170,166,195,192,151,107,45,106,192,158,94,60,68,57,148,181,172,172,171,170,170,169,169,152,157,160,163,167,171,168,201,177,131,99,101,98,176,193,136,92,64,57,161,181,175,173,173,173,170,170,170,152,158,162,165,169,171,170,206,190,140,122,132,137,205,188,150,120,64,58,175,180,177,176,175,174,171,170,171,154,160,164,167,170,173,173,209,183,137,126,149,183,220,173,137,108,53,66,184,179,178,178,176,175,174,173,172,155,161,166,168,172,175,176,209,189,154,147,148,204,206,166,117,95,49,98,192,178,181,179,178,178,176,175,172,156,162,168,170,173,177,177,206,195,165,155,148,214,190,150,107,84,47,130,194,180,182,180,180,179,178,176,174,158,163,167,171,175,178,177,202,192,173,165,155,203,171,135,100,76,44,142,194,182,184,183,181,180,178,177,176,159,164,169,172,176,179,178,196,197,181,176,157,193,154,125,94,67,45,156,192,184,185,185,183,182,180,179,179,159,164,169,173,176,181,181,187,197,184,181,156,191,145,117,83,63,55,170,191,185,186,186,184,184,183,181,180,161,166,170,174,178,181,182,186,197,180,165,139,171,136,117,91,57,78,192,188,188,188,186,185,185,184,182,181,162,167,171,176,179,182,184,186,200,170,141,139,171,122,128,97,44,128,200,189,190,189,188,186,185,185,184,182,163,168,173,177,180,183,184,187,214,188,166,163,172,117,136,73,55,183,194,192,190,189,190,190,187,185,185,183,161,167,172,176,180,183,183,187,215,200,184,178,162,115,124,53,92,199,192,192,191,190,190,189,189,186,185,184
2,189,188,189,188,188,190,189,189,188,187,187,187,188,187,185,185,184,183,181,182,182,181,184,110,65,69,65,68,191,190,191,190,191,192,192,191,190,191,191,192,188,188,190,184,190,189,189,185,186,182,189,142,67,74,60,71,194,194,195,194,194,195,193,195,195,195,195,193,193,198,186,125,131,174,161,191,190,186,191,162,72,58,44,68,196,197,198,199,198,199,199,198,198,194,198,200,200,168,121,94,72,110,89,158,192,188,190,179,88,41,49,78,201,200,201,202,201,201,203,202,199,207,215,205,127,89,76,71,69,81,74,71,163,198,189,198,114,25,37,66,203,203,204,204,204,203,203,203,204,218,206,145,78,68,65,60,56,64,74,62,157,202,191,200,142,118,87,49,206,206,207,208,207,207,206,201,212,226,141,80,62,55,64,59,50,57,57,84,187,201,196,199,174,128,184,164,209,208,208,209,209,209,208,200,227,207,111,71,61,53,56,62,70,101,143,186,203,201,199,209,149,128,219,189,211,212,211,210,210,211,208,211,231,170,99,69,77,66,67,74,156,211,211,208,202,203,200,211,159,161,211,132,212,213,213,213,212,213,210,227,213,147,85,63,74,65,93,179,214,208,206,208,207,206,204,205,194,176,131,128,214,215,214,215,217,213,215,238,203,142,98,78,66,66,157,228,209,211,209,210,210,208,206,205,206,196,136,197,217,216,216,216,218,213,230,243,188,131,97,90,73,68,183,220,213,212,213,212,210,209,208,209,206,201,194,179,218,218,217,219,219,213,245,231,174,115,90,87,78,94,216,217,216,215,213,212,212,210,211,210,211,203,202,208,219,218,218,221,214,219,251,214,167,115,85,80,75,126,228,216,218,217,215,214,214,213,214,213,211,210,201,180,221,220,221,221,209,237,243,201,154,109,86,81,75,132,230,216,218,217,217,217,217,213,214,214,212,211,216,171,224,223,224,218,219,250,228,187,141,101,86,86,68,162,234,216,219,219,218,218,219,218,218,217,218,217,212,212,223,222,226,210,232,252,218,176,130,99,80,74,65,130,232,221,221,220,222,224,219,202,189,178,173,198,218,212,224,225,226,210,247,243,208,165,123,97,72,68,82,75,139,236,230,226,212,188,170,175,170,159,137,104,196,219,224,228,214,227,252,235,197,152,115,95,61,70,85,92,82,158,194,171,161,173,175,171,149,128,139,139,199,220,227,224,212,249,247,226,181,142,109,86,58,88,96,107,112,103,115,144,174,178,156,114,115,179,220,225,221,218,231,217,235,254,241,214,173,137,105,84,68,103,113,121,120,120,129,149,149,126,112,124,206,232,221,219,219,219,218,230,250,241,231,206,163,122,99,85,82,110,123,125,123,115,116,110,113,158,205,226,227,223,224,223,222,219,216,238,243,235,226,192,147,110,97,85,99,121,127,123,112,98,88,138,214,234,231,226,224,226,224,224,224,223,230,236,235,219,195,160,124,103,96,88,107,119,122,108,92,119,181,234,237,229,228,228,228,227,225,224,222,223,228,228,215,192,168,142,114,101,93,97,105,114,110,84,145,231,238,231,232,231,229,229,230,227,227,226,224,223,226,216,191,165,155,126,106,100,100,102,100,93,97,164,238,236,233,233,233,233,232,231,230,229,229,228,227,226,218,206,171,134,123,100,97,103,101,96,94,143,212,243,233,234,235,234,234,234,233,233,233,232,231,229,228,220,212,192,152,115,93,91,99,103,92,137,200,242,242,234,237,236,235,235,235,234,234,234,233,233,232,230,231,196
4,170,172,173,177,178,181,183,184,184,187,187,187,188,190,190,190,189,190,189,187,189,188,187,188,187,186,185,185,170,173,174,178,179,182,184,185,186,187,188,189,189,192,192,190,191,191,191,188,190,188,187,187,188,188,187,186,171,174,176,178,180,182,184,186,187,188,190,190,190,190,193,193,191,191,193,191,190,189,189,189,189,188,188,186,172,175,178,180,182,184,185,186,189,188,190,191,189,199,188,179,194,195,183,193,193,191,191,191,189,188,188,187,173,177,179,181,183,185,187,188,189,189,191,186,210,215,186,152,190,204,165,159,195,194,193,192,191,189,189,188,173,177,181,181,184,185,188,190,185,218,220,184,194,228,186,157,207,202,174,120,179,180,184,196,192,190,189,189,175,179,180,183,186,186,190,188,195,246,244,202,149,223,191,153,226,207,153,144,200,152,129,188,193,190,191,191,177,180,181,185,187,187,191,185,215,237,237,190,142,217,192,159,217,195,179,200,167,142,103,149,200,191,193,192,177,179,183,186,188,190,191,189,233,211,225,174,128,193,202,204,202,222,247,212,143,112,103,138,202,193,194,193,178,182,185,187,189,192,190,198,237,201,212,186,110,174,187,207,221,232,224,206,172,117,89,150,203,193,194,194,179,182,186,186,189,192,187,225,233,195,188,188,101,161,159,132,184,205,193,209,186,136,89,164,203,194,195,195,178,182,186,188,190,190,196,241,207,177,169,138,102,164,160,104,193,162,177,224,195,151,107,184,200,196,196,196,180,184,187,189,192,187,211,243,197,163,157,141,127,143,141,115,186,131,150,249,212,169,117,189,201,197,197,197,181,184,187,189,193,185,226,246,198,161,143,127,131,135,136,147,158,165,179,238,224,178,117,151,207,197,198,197,181,185,187,190,194,187,239,242,198,159,140,128,135,134,158,181,193,224,221,209,209,172,134,122,203,200,200,199,183,185,189,192,194,192,248,241,193,154,155,141,132,126,172,202,224,220,216,199,167,175,144,127,201,200,200,199,182,185,189,192,192,200,254,237,189,168,178,151,135,168,218,232,224,220,204,178,146,151,123,152,208,199,200,199,180,184,186,191,190,203,255,235,202,202,190,155,192,234,246,235,222,212,188,162,140,125,117,187,204,200,200,199,181,184,187,192,190,207,255,243,224,215,200,165,221,241,246,243,207,196,174,155,135,110,148,208,200,202,201,200,181,185,189,193,190,207,255,249,231,210,205,175,225,246,244,230,193,177,163,150,126,114,194,205,203,203,201,201,183,186,188,193,193,198,253,248,233,211,198,190,227,242,226,209,182,162,156,139,108,155,210,202,203,202,202,201,184,186,190,192,195,195,246,239,224,216,200,195,214,222,205,185,168,163,152,119,118,201,207,205,203,202,202,200,182,185,189,192,195,195,242,226,215,220,208,195,206,213,197,176,157,157,141,107,171,211,203,204,203,202,200,199,182,186,189,193,196,194,236,216,214,218,202,182,202,216,194,163,143,145,122,144,211,207,208,205,204,204,203,202,178,181,183,186,191,186,233,225,219,210,199,181,193,215,180,145,135,132,123,186,197,194,195,193,192,192,193,187,128,129,129,128,131,122,227,239,228,214,202,185,183,209,170,138,130,122,115,122,121,120,120,119,119,121,112,128,117,118,118,117,122,108,215,253,233,219,212,190,170,206,177,137,121,115,114,111,111,111,110,109,111,102,143,216,124,125,125,126,130,113,200,254,230,213,209,190,160,199,178,132,118,113,116,118,117,115,116,118,107,156,233,224
21,52,69,89,104,115,119,130,140,147,153,157,160,163,166,169,171,173,174,173,172,172,171,170,168,168,166,164,164,51,70,91,106,115,120,133,143,151,155,159,169,170,170,175,177,178,179,179,178,177,176,175,174,173,172,171,170,53,72,92,108,117,122,135,145,151,164,171,113,154,182,178,181,183,183,183,183,182,184,184,179,180,178,176,175,55,74,94,110,118,124,137,147,152,170,179,104,90,189,181,184,185,185,186,187,190,139,161,189,182,182,181,180,57,76,95,111,118,126,140,149,155,165,187,140,63,165,189,185,189,190,189,191,204,122,89,197,187,187,186,185,58,78,98,114,120,128,141,151,159,163,199,160,65,124,199,188,191,191,192,193,210,142,66,183,195,190,190,190,60,81,100,116,122,130,143,154,162,164,198,178,72,83,198,192,193,194,196,198,213,145,65,163,203,192,193,193,61,83,102,118,124,133,145,155,163,166,186,187,97,65,179,197,195,197,198,201,210,135,68,151,207,195,197,196,63,84,103,120,126,135,148,158,165,170,180,205,140,71,148,205,195,200,200,204,204,141,73,150,209,196,198,198,64,86,106,122,128,138,152,161,168,174,177,212,161,80,112,208,197,201,201,207,207,149,76,158,211,198,198,197,66,89,108,124,129,140,153,162,169,176,175,213,174,85,84,199,202,202,202,212,196,138,78,168,209,202,208,213,68,91,111,127,131,141,154,163,170,177,178,211,190,107,74,177,207,204,204,218,180,126,72,190,223,204,173,128,70,92,113,128,132,144,155,166,172,178,180,202,214,146,84,145,213,204,205,222,185,125,74,155,110,62,36,19,72,94,115,129,134,146,158,167,174,180,182,189,199,156,90,112,213,204,209,219,175,129,65,23,11,14,17,31,73,95,116,130,135,147,160,168,175,179,192,181,128,109,96,88,202,208,211,204,160,120,47,13,14,18,7,14,72,95,116,129,134,146,160,168,175,175,205,192,153,166,94,63,175,210,189,176,147,99,38,5,1,19,15,3,73,96,117,129,135,147,161,168,176,178,213,218,198,195,112,64,92,143,154,154,122,76,16,19,0,4,22,11,74,97,118,130,135,149,161,168,176,177,212,229,218,187,126,80,58,76,122,139,106,64,0,9,17,0,9,17,71,96,119,130,136,149,161,169,182,139,139,188,216,191,163,105,87,82,76,89,87,60,0,0,22,9,0,9,83,100,118,129,135,149,159,174,203,144,114,106,182,157,175,141,119,122,76,44,62,59,1,0,3,23,2,0,79,78,84,88,90,97,89,153,217,188,158,97,103,133,116,147,135,125,104,62,42,47,19,0,0,16,17,4,80,79,81,81,83,87,72,155,191,197,176,122,67,76,82,62,105,132,127,101,64,35,28,0,0,4,18,12,84,86,85,86,89,92,79,158,159,138,184,140,75,39,81,46,40,153,162,138,108,60,31,0,0,0,14,12,85,87,87,88,91,93,80,170,186,128,140,160,88,61,59,70,42,115,197,169,136,94,54,13,0,0,8,13,86,87,86,87,89,92,82,171,185,142,84,115,123,110,68,78,75,123,147,196,161,113,75,45,0,0,0,14,85,87,87,86,89,93,80,156,189,123,79,72,109,135,91,98,111,155,135,178,183,130,86,65,3,0,0,9,85,86,86,87,88,92,80,127,185,130,117,94,81,109,117,132,151,168,200,174,159,106,96,70,13,0,0,0,84,85,85,87,88,90,83,108,195,163,133,98,98,114,138,156,193,194,197,168,133,68,89,63,14,0,0,0
19,170,171,173,175,177,178,179,181,181,181,181,182,182,182,181,181,181,181,180,179,178,179,178,176,175,175,173,172,171,173,174,176,179,180,180,182,183,184,184,183,185,184,183,182,182,182,181,181,180,180,180,179,177,178,176,176,173,175,177,180,181,181,184,185,186,186,185,185,185,186,186,185,185,183,184,184,182,181,181,181,179,179,176,176,174,176,178,180,182,183,185,185,187,187,187,187,187,187,187,186,187,185,185,185,183,183,182,182,181,181,179,178,175,178,179,181,182,185,186,187,188,189,189,189,189,189,189,187,188,187,187,185,185,185,184,184,182,181,180,179,177,179,181,183,183,186,188,189,190,192,192,192,192,191,189,189,190,189,188,187,187,186,186,185,184,183,182,181,179,181,184,185,185,187,189,191,192,192,192,193,193,191,192,186,192,191,189,189,188,187,186,186,186,185,184,183,180,181,185,187,187,189,191,192,194,194,194,194,197,194,206,173,140,192,191,190,191,190,190,188,187,185,185,185,181,183,185,188,189,192,193,194,194,196,195,171,153,177,208,189,100,156,196,196,193,193,192,191,189,189,187,185,182,184,187,189,192,193,194,194,196,194,183,151,113,114,131,140,123,112,135,146,171,176,181,183,187,181,177,184,182,186,188,191,193,193,196,197,194,183,181,185,174,126,77,100,124,117,117,101,112,128,136,124,144,129,134,177,185,187,189,192,193,195,193,190,174,180,193,195,163,104,71,66,88,100,107,96,101,118,124,121,124,129,124,163,185,187,191,193,195,193,190,182,177,180,184,185,166,121,72,62,63,67,73,70,75,83,92,92,92,97,102,119,186,187,191,193,193,191,190,187,183,175,184,191,189,152,88,62,65,56,79,115,135,138,136,136,145,148,159,176,187,189,192,194,193,191,190,189,187,183,190,194,189,157,93,62,63,57,133,209,203,201,199,200,201,199,197,195,188,190,190,194,191,193,191,192,192,189,187,187,180,162,108,63,62,64,74,192,204,200,198,197,198,197,195,196,186,188,198,198,196,194,194,195,195,187,182,191,189,174,124,67,60,66,53,125,210,201,199,200,199,197,197,196,189,212,214,202,195,196,197,194,187,184,189,195,190,159,115,76,59,69,55,101,210,202,201,201,200,199,198,197,212,219,209,198,193,194,190,187,183,182,177,176,166,136,109,84,67,66,58,157,209,203,202,201,202,201,199,198,218,215,200,193,192,189,186,184,178,175,167,162,155,137,109,88,79,67,49,165,211,205,203,202,201,201,200,199,215,211,201,189,183,184,180,181,179,172,165,157,150,155,112,86,84,71,65,192,209,206,205,204,202,201,201,200,212,208,197,183,171,172,171,171,176,167,157,138,134,148,98,79,88,72,93,214,206,205,205,205,203,202,202,201,207,202,187,170,158,155,158,157,163,152,132,111,109,100,59,76,90,68,136,213,207,206,205,205,204,204,202,201,198,188,169,155,144,128,133,138,142,124,101,96,90,62,71,85,85,145,208,210,207,206,207,206,205,205,203,202,195,167,161,151,127,109,98,108,110,98,88,83,68,64,81,113,169,212,209,209,207,207,207,207,206,206,204,202,161,152,162,147,116,87,80,79,84,77,107,163,154,157,183,204,213,210,208,208,207,207,207,206,205,204,203,201,108,150,155,132,101,66,45,47,98,152,199,215,214,213,213,210,210,209,209,209,209,208,207,205,203,203,202,201,55,96,94,66,43,25,13,15,180,217,210,212,211,212,211,210,210,210,210,209,209,209,207,206,205,204,202,202
6,164,164,165,166,167,167,168,168,168,169,170,170,168,168,166,166,166,167,166,165,165,164,164,162,160,161,160,159,164,166,166,168,168,169,170,170,170,170,171,171,170,171,168,167,167,167,166,167,165,165,165,165,162,161,163,161,166,169,169,169,170,171,171,171,171,171,171,171,171,171,169,168,169,168,167,167,166,166,166,165,164,163,162,162,167,169,171,170,171,172,171,171,173,172,172,172,171,171,171,170,171,169,168,168,166,167,166,167,165,163,163,162,168,170,171,171,172,174,174,175,175,174,173,174,172,172,171,171,170,170,171,170,169,169,168,161,160,170,162,162,169,170,171,172,173,174,175,175,175,175,173,173,174,174,173,173,174,174,171,168,165,156,154,134,167,193,148,154,170,171,172,174,176,176,176,176,176,176,177,177,175,174,171,167,159,152,154,160,155,147,148,135,150,163,125,155,172,173,174,175,178,179,178,177,177,176,172,171,170,166,153,145,124,131,139,155,145,134,115,103,100,115,148,168,173,174,176,178,178,180,180,179,178,172,146,144,132,141,154,146,137,112,121,118,101,88,91,111,135,160,170,166,175,177,177,179,179,181,181,178,174,165,153,153,124,84,110,108,95,76,85,92,116,136,164,176,175,171,168,167,177,178,179,182,182,181,178,161,164,166,169,157,111,70,56,55,59,86,128,167,179,179,174,172,172,171,169,169,180,180,181,183,179,174,169,161,156,161,167,142,94,68,59,64,137,167,183,180,177,176,175,175,173,172,171,170,180,180,180,177,173,168,164,159,149,157,156,148,131,81,61,63,163,188,175,180,179,178,178,177,174,172,172,172,180,179,178,174,169,161,159,157,152,154,157,161,145,93,64,59,72,183,180,180,179,179,178,177,176,174,174,173,176,177,180,173,164,159,159,159,155,156,158,155,142,101,63,66,53,122,194,180,181,180,178,178,177,176,176,174,186,188,182,172,165,160,157,159,156,152,156,157,153,126,69,59,63,63,173,187,182,181,180,178,178,177,176,175,193,189,176,168,169,161,157,157,159,160,163,163,155,122,75,60,58,54,170,188,182,183,182,180,180,179,178,176,188,179,171,173,167,160,157,156,156,149,147,144,131,106,80,66,50,113,196,182,184,183,182,182,180,180,179,177,191,176,167,169,158,156,160,154,149,138,132,129,116,97,84,75,50,110,199,184,186,184,183,183,182,183,181,178,193,184,164,153,153,158,161,157,147,138,130,130,118,91,83,84,67,57,177,192,187,185,184,183,182,183,181,179,178,179,156,141,144,152,152,150,140,128,112,107,90,77,78,90,70,57,178,193,189,187,185,183,183,183,182,180,78,127,133,123,132,142,141,132,118,105,94,83,50,61,80,85,62,137,197,190,190,188,186,185,184,185,183,182,39,50,87,103,114,125,120,107,89,76,68,63,56,70,81,89,156,198,191,190,190,189,188,186,185,185,184,183,43,42,39,49,62,81,91,84,93,117,140,113,94,98,133,180,199,192,192,190,190,190,189,187,187,186,184,183,37,40,39,18,15,25,30,37,178,204,203,201,194,195,200,197,195,194,193,192,191,191,191,189,188,187,184,183,34,33,42,33,12,19,4,86,206,195,196,196,196,196,194,194,195,193,192,194,191,190,190,189,188,187,185,184,32,30,38,37,13,17,10,165,206,195,198,197,196,196,195,195,194,194,193,193,192,191,190,189,188,186,185,184,29,27,38,39,16,5,69,207,195,198,197,197,197,197,197,196,195,195,194,194,192,192,191,190,189,187,186,184
16,78,80,84,89,100,110,116,123,128,131,132,135,139,145,148,153,155,156,157,160,163,163,165,167,168,168,170,171,79,81,85,91,101,110,119,125,130,132,133,136,141,146,148,151,155,158,160,161,163,164,166,167,169,169,169,171,79,82,86,91,102,112,120,126,131,132,134,138,142,146,149,153,155,158,160,162,163,165,167,169,170,170,171,172,80,83,86,91,103,113,120,126,131,134,136,140,143,146,151,154,156,159,160,162,165,167,169,170,170,171,172,173,79,84,86,92,105,116,123,128,133,135,138,140,147,152,152,157,162,161,162,165,167,168,171,171,171,173,173,173,80,84,87,94,107,117,126,128,132,136,137,136,137,132,120,113,125,163,165,164,169,171,172,171,174,175,175,175,82,85,89,97,109,117,121,130,140,135,122,108,97,84,76,80,72,93,161,172,169,172,174,175,176,176,177,178,83,86,88,98,107,116,134,152,144,119,90,86,84,73,65,74,84,62,82,165,175,171,176,179,178,178,179,179,83,87,91,94,107,143,159,131,105,84,65,78,80,68,64,74,78,69,69,85,178,174,178,179,179,180,181,180,84,88,80,114,146,138,101,87,81,68,65,82,80,66,69,77,76,68,88,54,117,188,176,180,180,181,182,182,82,82,124,159,119,87,68,72,71,54,75,88,77,68,77,78,67,78,85,71,60,171,180,179,183,185,185,185,77,166,180,114,81,68,58,57,86,116,83,67,45,70,86,74,49,82,82,71,50,108,195,181,185,185,185,186,105,205,134,97,70,53,75,115,185,185,100,44,47,50,77,59,40,93,79,66,63,46,145,193,183,185,186,187,87,151,108,76,74,128,195,191,197,172,119,62,55,50,40,20,51,101,75,78,78,69,63,155,192,185,188,189,82,91,94,84,176,198,194,182,196,164,121,79,61,54,10,0,60,99,73,87,90,89,73,78,191,189,190,190,87,88,90,114,201,176,195,188,192,149,107,81,76,66,57,4,41,91,73,84,95,82,73,50,153,199,189,191,87,91,84,135,210,178,202,190,173,122,77,81,86,77,71,47,20,71,81,127,112,74,62,44,108,205,189,192,88,91,82,165,213,175,201,187,149,99,85,92,94,89,73,62,24,36,134,169,164,143,106,41,108,207,190,193,89,92,83,175,211,171,174,164,103,73,77,99,94,80,74,65,56,40,159,187,187,187,183,133,142,201,193,195,88,90,86,148,218,170,115,105,65,62,72,78,74,65,61,58,75,55,152,195,189,192,196,182,128,151,202,195,87,89,93,116,183,114,78,70,70,80,86,76,58,54,59,52,58,45,120,206,183,189,189,164,118,95,201,196,88,89,97,108,132,86,68,87,81,67,59,56,47,44,47,44,59,78,85,155,176,175,174,148,93,126,205,197,89,91,97,111,122,123,75,73,55,76,79,86,79,56,44,67,78,87,76,59,85,138,150,128,142,197,201,199,89,90,98,111,129,117,63,63,52,59,137,104,76,67,51,38,38,28,26,26,0,88,204,192,205,203,200,200,88,90,98,111,128,95,65,58,62,45,22,48,25,11,2,0,0,0,0,2,0,59,214,198,200,200,201,202,88,91,98,115,117,77,64,56,51,65,15,0,15,12,3,0,0,0,0,0,0,150,211,197,201,201,203,205,87,90,98,116,100,68,61,53,50,53,47,0,4,14,4,0,0,0,0,0,19,198,199,200,203,204,204,205,87,91,99,113,78,62,58,51,46,50,56,0,0,8,3,0,0,0,0,0,76,219,197,201,204,205,205,205
16,206,207,208,209,208,208,209,210,211,210,209,210,211,211,211,209,210,211,212,213,211,211,212,212,212,212,212,209,207,207,208,209,210,210,210,212,211,211,210,212,213,210,214,215,216,214,211,213,212,212,213,213,212,212,212,211,208,208,209,211,211,210,210,211,212,213,213,214,211,211,194,190,186,201,221,216,213,213,213,212,212,213,212,212,208,209,209,211,211,211,211,212,211,210,204,199,213,223,186,167,160,138,161,209,220,214,213,213,213,214,213,212,208,209,210,211,211,213,213,213,214,209,189,193,226,225,202,187,173,145,111,119,170,215,218,212,214,214,213,213,208,210,211,212,213,211,208,197,230,224,196,208,230,218,206,196,175,132,129,112,104,133,204,220,212,214,214,214,211,211,211,212,211,222,207,201,222,219,203,211,230,205,196,188,168,119,129,119,114,106,121,202,222,214,215,214,211,212,212,213,210,231,220,203,216,214,212,206,219,193,190,179,155,118,118,112,114,116,104,115,211,218,216,216,210,210,212,212,211,218,216,201,213,220,218,209,216,196,188,172,140,114,109,107,110,114,115,96,142,226,216,217,209,210,211,213,219,210,215,215,208,219,220,212,226,209,190,163,130,109,100,104,111,113,110,109,103,206,221,217,209,211,209,220,219,208,216,227,214,214,218,214,225,212,188,153,123,103,88,104,114,116,117,109,98,190,222,214,210,211,210,214,216,215,211,222,212,214,223,220,220,210,179,139,116,83,83,104,115,120,126,113,104,207,218,215,211,212,212,212,215,225,218,223,228,189,225,228,218,212,177,128,94,54,81,99,108,126,123,112,112,212,217,217,214,213,213,212,216,224,229,201,207,200,214,227,220,214,169,119,71,48,73,88,103,136,118,107,121,217,218,218,212,211,213,212,213,212,233,193,171,214,212,219,225,211,163,112,72,50,59,78,113,144,116,104,140,223,217,218,210,211,212,212,213,205,206,231,213,196,209,221,230,207,161,106,83,72,59,82,140,147,119,103,145,223,217,219,214,215,216,217,217,216,196,208,219,205,209,223,233,203,156,105,94,99,86,102,165,165,132,99,141,223,218,218,172,177,180,183,186,192,186,186,210,192,188,210,231,201,147,104,102,106,92,118,182,188,160,102,144,227,215,219,120,122,122,121,124,126,126,128,158,137,125,192,232,200,138,104,109,112,102,129,181,196,182,128,122,192,230,243,128,128,127,125,125,125,124,123,122,128,111,184,234,203,130,131,121,114,109,135,176,195,198,166,139,220,239,252,126,128,127,126,126,128,128,128,128,132,116,170,236,205,126,180,147,129,119,119,164,186,197,182,146,212,238,243,126,126,125,128,127,127,127,127,129,131,121,147,229,203,131,202,170,144,137,115,127,176,181,169,115,182,238,217,125,125,125,127,127,128,127,128,130,132,124,136,241,197,140,222,191,163,151,134,108,127,160,136,141,198,191,214,125,125,124,126,127,127,127,127,128,130,126,132,243,163,168,234,203,179,165,146,121,105,116,101,189,227,166,193,124,126,125,126,126,126,127,129,129,129,128,130,158,160,226,229,210,188,174,155,128,110,112,94,194,248,209,176,124,126,126,127,126,124,126,129,128,128,127,129,113,187,236,229,217,194,179,163,136,111,114,96,190,251,228,214,125,126,126,127,126,124,125,127,127,127,127,129,120,176,228,226,220,200,182,167,143,115,112,96,173,253,223,203,124,124,126,130,126,124,125,126,126,127,127,129,120,174,225,225,219,199,183,169,148,120,113,99,163,251,233,186
20,177,179,180,179,181,180,180,180,180,180,180,180,179,180,179,176,175,174,173,172,171,169,168,167,165,164,163,162,181,182,182,183,183,182,182,183,183,183,183,182,186,173,169,181,177,177,176,174,173,172,171,169,167,166,165,164,184,185,185,185,185,185,185,185,185,185,186,184,198,171,138,185,182,179,179,177,176,175,173,171,171,169,168,167,188,188,189,188,188,189,189,188,189,189,189,187,194,180,122,132,160,186,181,180,179,177,176,174,173,172,170,167,191,191,192,192,192,192,192,192,192,192,192,190,200,177,111,138,132,179,186,183,181,180,179,177,176,174,172,170,193,193,194,195,195,195,195,194,194,195,195,193,203,168,109,173,138,160,193,186,185,183,182,179,179,177,176,173,196,196,197,197,197,198,197,197,197,198,198,195,208,173,118,183,141,146,196,188,188,185,185,183,181,180,178,177,198,199,199,200,200,200,200,200,200,200,200,198,214,169,119,187,160,142,197,191,191,189,189,186,183,183,181,180,200,201,201,201,202,202,202,202,202,203,202,205,215,151,122,196,167,135,197,193,192,192,191,189,186,185,183,182,202,203,204,204,205,204,204,204,205,204,196,207,218,150,139,208,163,128,197,197,195,193,192,191,189,187,186,183,206,206,207,207,207,207,206,206,207,206,190,180,192,162,137,201,167,128,198,198,196,196,194,192,191,189,191,169,208,208,208,209,209,209,208,209,208,210,219,207,173,152,132,187,180,137,195,201,198,197,196,195,193,191,191,179,210,210,210,211,211,211,211,210,212,204,185,207,181,183,139,164,172,134,191,205,201,200,198,197,195,194,193,184,212,212,211,212,212,213,213,213,212,216,169,144,189,196,130,117,139,123,187,209,202,202,200,199,196,194,194,186,214,213,212,213,213,214,214,214,213,220,174,100,179,193,151,115,113,108,179,212,204,202,202,201,197,195,194,193,214,214,214,213,213,215,214,215,215,214,176,126,146,184,174,140,135,98,168,215,205,204,203,202,199,197,196,195,215,215,215,215,216,217,217,217,210,209,183,160,118,126,173,160,145,97,151,219,206,206,205,203,201,199,197,195,217,217,218,218,218,217,219,214,210,197,195,183,145,124,145,165,149,108,134,220,208,208,207,205,203,201,198,196,218,218,218,218,218,218,217,210,196,155,164,187,165,125,126,160,178,135,113,207,213,208,208,207,205,202,200,198,219,220,220,220,220,221,217,209,203,166,110,149,162,112,111,145,187,164,108,160,221,209,209,207,205,203,201,200,220,221,221,221,221,222,219,209,193,170,134,113,142,117,113,179,199,182,120,128,221,211,211,210,207,205,203,202,221,222,223,222,223,223,221,208,206,195,142,119,145,137,153,212,201,170,112,140,222,211,211,210,208,206,205,203,223,223,224,224,224,225,224,206,209,198,153,134,150,200,217,209,183,157,98,170,223,211,212,210,208,207,205,203,224,224,224,224,225,226,225,206,203,194,167,135,152,219,217,194,165,144,102,198,219,213,213,212,210,208,206,203,224,224,224,224,224,226,227,205,191,187,168,139,150,207,200,180,153,125,116,217,216,214,213,212,209,208,211,211,224,224,224,224,225,225,227,212,191,187,168,151,152,206,197,170,141,103,144,227,213,213,211,210,215,212,194,163,225,225,225,225,226,225,227,223,194,186,175,158,144,195,186,154,123,98,195,222,215,215,217,211,190,140,101,97,225,226,226,226,227,227,228,225,203,189,174,156,139,166,158,129,98,129,225,216,216,210,181,136,101,89,85,93
8,176,178,181,181,183,184,186,187,186,185,185,185,184,184,184,183,183,182,182,179,178,177,176,175,175,174,171,169,177,181,183,184,186,187,187,187,188,187,187,187,187,186,186,186,185,184,183,181,180,179,178,178,178,176,173,172,180,184,185,186,188,189,190,190,190,190,191,189,187,190,187,187,187,186,185,184,183,182,181,180,179,176,175,174,183,185,187,191,192,190,191,191,192,192,192,192,188,182,191,188,187,187,188,187,185,184,183,182,182,179,176,175,185,188,189,191,193,194,193,193,195,194,188,204,206,129,178,194,190,188,188,188,186,185,185,184,182,181,179,177,188,191,193,191,193,195,195,196,196,196,190,221,191,95,165,199,191,191,191,190,187,187,185,185,183,181,182,181,191,192,194,194,195,196,198,199,198,198,194,227,159,88,179,199,193,195,193,191,189,188,186,185,186,184,183,182,191,194,197,198,198,200,200,200,200,199,201,227,143,92,194,200,196,195,194,192,191,191,189,189,187,187,185,183,195,195,197,199,199,200,201,202,203,199,211,231,141,107,198,199,197,194,195,194,192,192,191,190,188,187,185,185,197,197,199,201,202,202,204,204,206,199,219,214,116,114,203,199,200,199,197,194,194,193,192,191,189,188,187,186,197,200,201,203,205,205,205,206,207,200,226,211,117,128,209,200,199,195,202,196,194,195,194,194,191,191,189,188,201,203,203,207,209,209,209,210,211,202,237,209,149,148,202,201,216,143,155,210,201,200,194,193,194,193,190,188,202,204,205,208,210,211,212,211,211,208,238,200,166,159,212,225,219,150,98,137,140,183,204,201,194,195,193,191,202,206,208,210,210,210,212,213,213,212,234,208,185,172,231,227,220,190,138,74,76,93,184,172,202,195,195,194,206,208,211,212,212,213,214,217,212,226,247,201,184,192,221,201,211,213,164,151,111,64,106,73,128,206,192,194,208,210,212,215,215,216,216,218,213,239,226,181,173,167,217,184,128,200,189,185,135,68,71,73,48,181,200,194,209,212,215,217,217,217,219,213,224,236,183,144,158,146,201,163,91,100,192,172,131,66,36,63,44,141,212,194,213,215,217,219,219,218,219,217,249,237,196,150,125,112,193,189,142,45,211,189,140,75,32,53,55,179,207,196,212,217,218,219,220,223,217,236,255,226,185,148,128,95,184,196,119,53,186,207,141,79,45,36,121,214,201,201,213,216,220,221,223,223,220,255,254,216,172,142,131,81,91,153,122,110,189,215,143,81,37,101,209,205,204,203,216,217,219,221,225,222,230,255,234,194,180,159,131,94,182,220,208,203,190,194,138,68,89,217,209,208,208,204,217,218,221,223,224,226,246,255,222,206,185,140,120,195,248,231,197,208,174,152,128,74,97,227,208,211,209,206,218,220,223,223,233,199,244,255,220,216,171,128,188,242,228,209,172,190,159,118,122,68,133,225,209,210,210,208,219,221,225,226,233,100,138,255,225,215,153,183,234,240,216,195,167,173,158,94,94,67,211,218,212,212,211,210,220,223,223,239,146,71,63,131,216,202,161,190,221,226,208,192,153,155,144,89,47,138,233,215,216,214,212,210,220,223,235,195,78,72,74,59,87,141,146,180,200,210,196,176,145,150,111,57,61,219,220,218,218,216,214,211,221,229,218,96,73,69,64,75,38,22,63,83,118,157,165,152,142,119,71,34,177,233,220,221,219,217,216,212,221,226,130,69,73,66,62,63,66,4,28,32,29,37,61,77,79,60,30,133,236,221,222,221,220,218,215,212
19,88,93,99,103,112,120,126,132,136,139,141,145,148,152,154,156,159,161,162,163,166,168,168,170,171,171,173,173,88,93,98,104,113,120,128,134,137,140,142,145,149,153,155,159,161,161,164,166,168,169,169,173,173,174,175,175,90,95,100,106,115,123,130,136,140,142,144,147,150,153,156,160,162,164,167,168,170,171,172,174,175,176,177,177,91,96,103,108,116,125,131,138,141,143,146,149,153,157,161,163,166,168,168,170,173,174,176,176,178,179,177,180,92,98,103,108,118,126,133,139,143,145,147,151,154,159,160,165,169,171,169,173,175,176,176,177,179,177,186,174,92,98,104,110,120,128,136,140,145,147,149,152,158,158,172,171,145,162,177,173,176,178,178,179,176,198,209,116,92,99,105,111,121,129,138,142,146,147,151,154,159,158,208,180,135,108,167,176,176,178,187,189,198,204,144,100,92,100,105,111,122,130,138,145,147,149,152,158,161,156,195,197,146,127,171,190,181,185,198,198,181,132,106,164,93,101,105,114,124,131,138,145,149,148,156,151,158,165,180,195,183,192,189,184,175,160,173,158,113,118,170,193,95,101,106,114,126,133,140,147,145,177,195,156,149,156,170,177,170,160,151,159,143,122,121,123,154,190,190,187,96,102,106,115,125,134,142,147,149,209,179,161,162,168,178,178,166,152,149,136,137,103,169,189,196,189,190,191,95,103,106,116,126,134,143,143,164,195,151,151,160,176,182,178,175,167,147,107,97,119,200,189,190,193,192,191,97,103,108,117,127,135,144,140,180,190,161,159,165,165,155,149,153,138,120,100,79,142,199,189,192,193,193,193,98,104,109,118,128,136,144,144,220,206,183,180,180,171,168,160,145,98,92,96,83,166,198,193,194,194,195,196,99,104,109,120,131,139,145,152,220,200,180,164,156,164,166,159,133,95,88,98,91,180,196,193,196,196,197,197,98,104,110,121,131,140,147,152,200,191,165,145,121,118,136,133,127,99,92,94,118,197,193,195,195,196,198,198,100,104,110,123,131,141,148,150,189,190,166,117,105,78,68,109,133,103,95,98,116,201,195,196,196,197,198,199,100,104,111,123,133,142,149,150,188,194,165,121,91,55,98,132,132,98,93,94,94,187,198,195,197,199,200,200,100,104,112,124,133,142,152,143,185,195,166,135,110,79,82,93,84,76,84,94,94,180,202,197,199,199,200,200,101,104,113,125,134,143,154,142,189,199,167,141,113,100,86,70,71,82,89,95,96,183,203,199,199,200,201,200,101,105,114,125,135,145,154,143,190,197,166,140,116,106,106,91,81,84,90,93,104,191,200,200,202,202,202,202,102,106,115,127,137,144,154,144,179,190,161,138,115,106,104,92,81,88,95,92,124,204,197,203,203,202,202,203,101,106,116,128,138,144,155,144,177,184,157,131,113,105,101,93,88,93,101,89,159,208,200,203,203,204,205,205,100,106,117,128,138,147,154,152,182,179,153,127,111,103,103,100,96,98,92,112,197,200,202,204,204,205,206,206,101,107,119,129,139,147,152,155,193,178,149,123,108,104,106,103,98,92,120,187,201,200,202,204,205,205,206,206,102,107,120,130,139,149,151,158,191,170,151,129,112,107,107,104,93,114,194,199,199,201,204,205,206,206,206,206,102,108,119,130,140,150,151,167,182,163,147,131,114,102,98,99,87,156,201,198,202,203,205,206,207,207,207,208,101,107,119,130,141,151,152,186,182,160,138,121,106,94,91,94,92,172,199,200,202,203,205,206,206,207,210,210
13,164,164,166,168,169,170,171,171,173,173,173,173,172,173,173,173,170,170,169,168,168,168,165,163,162,160,159,159,164,165,167,170,171,172,172,173,174,174,176,177,180,174,175,177,177,172,171,170,168,168,167,166,165,163,161,160,165,167,168,171,173,174,174,175,175,176,163,137,144,182,162,134,143,177,172,172,170,169,169,168,166,166,164,161,166,168,170,172,174,174,175,178,176,181,162,131,104,135,142,115,74,148,182,172,172,172,171,169,167,166,165,163,167,169,171,173,174,176,177,178,176,188,184,148,125,77,134,130,82,107,187,173,174,173,172,170,168,167,166,164,167,170,173,174,175,176,178,179,178,180,186,150,119,73,109,124,82,91,185,176,175,174,172,171,170,168,167,165,168,171,174,176,177,178,179,179,183,185,176,147,112,77,83,102,70,83,184,176,176,174,173,172,172,170,168,166,169,172,174,176,178,179,180,179,168,172,162,146,115,89,79,113,72,93,186,176,177,177,176,174,174,172,170,167,170,172,174,177,179,181,181,166,122,102,109,149,149,104,88,121,83,98,190,177,179,178,176,174,173,172,170,169,171,174,176,178,180,181,191,165,121,107,87,148,163,114,79,108,79,63,166,185,179,179,177,176,175,173,172,170,172,174,176,179,179,173,140,145,140,128,92,76,117,83,72,81,79,74,108,189,179,180,178,177,177,174,172,171,173,175,178,176,185,166,109,96,150,132,115,58,34,41,66,84,97,108,78,155,188,178,179,177,177,175,173,172,173,176,176,186,193,149,122,101,124,143,116,90,39,64,70,101,121,119,84,106,192,179,180,179,177,176,174,173,174,177,178,192,156,148,138,122,96,135,124,104,52,74,129,139,125,107,87,92,190,180,179,179,179,177,175,173,173,176,179,193,153,127,134,117,96,109,114,82,50,86,143,151,133,101,73,107,193,181,181,181,179,178,176,173,174,176,183,182,153,115,106,106,80,61,85,76,57,109,151,144,131,100,60,135,195,182,181,180,179,179,176,174,174,177,180,183,174,147,109,82,61,49,82,88,89,157,160,137,123,93,61,165,192,184,182,180,179,179,177,174,176,178,179,181,178,158,132,115,98,96,106,106,150,176,152,129,112,86,76,186,186,185,184,181,180,179,178,175,176,180,180,180,175,163,142,121,104,107,142,170,172,161,143,122,105,72,97,197,185,186,184,181,180,178,177,177,176,179,181,183,165,152,139,119,106,108,133,168,163,150,130,112,98,60,124,199,186,187,185,182,180,179,178,178,176,178,182,184,159,150,141,124,118,112,125,159,161,147,122,100,88,55,159,196,188,186,185,183,180,180,180,178,177,179,181,186,173,150,143,131,123,111,118,152,153,136,108,89,66,78,194,189,188,187,186,184,181,180,180,178,175,178,180,185,186,156,143,135,121,110,108,134,140,121,96,82,51,141,200,188,190,187,186,185,182,181,180,179,176,179,182,184,188,182,150,131,116,110,107,121,134,116,95,74,69,188,191,190,188,187,186,184,183,182,181,179,177,180,183,186,187,187,164,139,122,115,120,121,130,117,93,64,114,202,189,190,189,189,187,185,185,184,181,179,176,179,182,184,185,182,171,148,142,140,136,127,130,113,85,65,154,199,189,189,188,187,186,184,183,182,181,178,175,178,180,184,184,174,179,159,152,147,138,134,122,103,80,70,179,192,189,187,186,186,185,182,181,180,178,177,175,178,180,184,184,171,185,163,154,153,137,125,106,99,72,81,192,189,190,188,187,187,185,184,182,180,178,177
1,77,9,49,64,70,79,97,114,125,131,136,139,141,145,149,152,159,156,159,162,163,164,164,167,168,166,168,168,68,9,56,64,71,81,100,116,127,133,137,139,143,146,156,151,121,160,164,163,163,166,165,167,168,168,169,169,55,13,60,65,73,84,106,120,128,134,140,142,145,145,172,153,77,141,143,165,165,167,168,169,169,169,169,169,43,19,62,65,75,85,108,122,129,135,142,142,152,143,161,149,89,141,97,156,170,169,170,171,171,170,171,170,32,25,64,67,77,88,111,123,131,138,143,140,172,131,138,142,96,155,96,145,175,169,171,172,172,172,171,173,20,32,64,68,78,91,113,124,132,138,144,144,178,119,146,144,101,156,96,134,178,170,173,174,174,173,173,174,11,40,65,69,79,93,115,125,132,138,146,149,181,104,142,140,98,161,105,130,179,171,174,175,176,176,176,176,10,48,67,72,81,97,118,126,135,139,164,131,166,99,146,141,97,151,102,127,183,174,177,178,177,178,177,178,11,53,67,72,83,100,118,128,133,153,157,111,155,102,171,142,95,162,111,121,185,176,179,179,179,180,179,179,15,58,68,73,82,102,120,129,132,173,137,105,147,108,179,129,102,186,118,122,185,177,180,181,180,181,181,181,21,61,68,75,84,105,122,131,138,185,116,123,154,107,156,103,102,178,106,126,186,179,183,183,182,183,184,183,26,64,68,76,87,106,123,129,148,185,99,122,134,92,144,89,119,172,98,130,187,180,184,183,184,185,184,185,32,66,68,78,87,107,124,126,162,183,94,108,141,134,132,155,161,161,97,134,189,182,185,185,185,186,186,186,39,68,70,79,89,110,125,126,177,165,106,113,167,153,130,157,148,147,92,131,193,183,187,188,187,187,186,187,45,69,71,79,91,113,124,130,189,175,156,150,178,170,157,140,129,122,86,130,194,183,187,188,189,189,189,188,49,68,71,80,92,115,122,145,201,159,149,153,143,143,178,175,153,127,82,128,194,184,188,189,190,191,190,190,56,68,74,81,93,117,118,169,193,137,116,112,86,110,174,172,166,147,92,121,196,184,188,190,191,191,191,191,60,68,75,82,96,120,119,182,184,137,133,140,129,175,185,174,150,131,89,92,194,189,191,191,192,192,193,192,64,69,75,82,98,122,121,181,190,152,137,143,179,211,191,167,136,102,85,69,174,195,191,193,193,193,193,193,65,68,75,83,99,121,122,174,202,168,149,142,179,215,192,156,129,91,75,66,170,197,192,194,195,194,194,194,68,69,78,84,101,120,123,164,204,168,152,144,170,206,183,150,119,92,68,85,192,193,194,196,195,195,196,196,68,70,79,86,104,121,128,153,196,166,159,147,155,191,175,146,111,91,62,134,203,193,196,196,198,198,198,198,68,70,79,86,104,121,131,144,186,172,168,158,173,185,157,127,100,82,72,177,197,197,197,197,199,199,200,198,67,71,78,86,106,121,131,140,170,172,165,152,162,169,138,112,96,73,94,197,195,198,198,199,199,200,201,200,68,71,78,85,106,121,132,140,156,169,160,150,137,140,127,107,98,66,113,202,195,198,199,201,201,201,201,201,67,71,77,84,105,118,130,140,146,167,161,147,138,137,137,119,97,64,140,200,192,196,199,200,200,200,200,199,68,69,75,83,105,117,129,136,166,173,164,162,150,139,130,117,89,61,155,200,192,196,198,199,200,201,200,200,67,68,74,84,105,117,129,139,191,186,140,163,152,135,111,99,87,55,138,201,191,197,199,200,201,200,201,201
23,148,151,155,157,157,159,160,161,161,163,164,163,163,162,162,163,164,164,164,164,163,164,164,163,164,162,163,162,151,153,157,158,159,161,161,163,164,163,163,163,163,164,165,166,167,167,168,165,164,165,165,165,165,164,164,164,154,156,158,161,162,163,163,164,167,165,165,166,167,164,164,161,151,155,167,171,167,168,168,168,168,167,166,165,155,157,161,162,163,166,166,167,167,169,171,169,165,178,191,171,149,133,146,133,158,173,171,171,170,170,169,167,156,159,162,164,166,167,169,170,169,171,172,169,182,193,179,154,127,125,107,82,160,176,172,173,172,171,171,170,158,161,164,165,168,170,170,170,170,171,173,187,186,145,138,101,114,120,118,154,175,172,174,173,174,174,174,174,160,163,165,167,169,171,171,172,173,171,173,181,158,103,98,142,182,180,183,180,174,176,176,175,175,176,176,175,163,165,168,170,170,172,173,173,175,174,175,171,143,112,105,195,174,174,167,168,179,176,178,179,179,177,177,177,165,166,169,171,172,174,175,175,176,176,178,173,143,140,98,174,175,186,172,100,154,183,179,179,180,180,178,178,165,169,171,172,173,176,177,177,178,178,177,179,161,140,123,187,201,192,169,86,117,193,179,181,180,180,179,179,167,171,172,173,176,177,177,178,179,179,177,184,170,178,201,197,179,175,161,70,86,141,147,186,180,180,179,179,167,170,173,174,177,177,178,179,180,179,178,177,182,195,187,178,182,170,131,75,29,97,104,187,184,182,182,181,169,171,174,177,177,177,179,180,181,180,176,177,185,192,194,177,176,165,86,59,22,70,63,100,193,185,183,184,170,171,174,177,178,178,180,181,181,184,182,181,183,186,180,171,177,154,76,51,27,49,62,38,106,194,183,184,172,173,175,178,178,179,182,183,181,190,194,175,177,178,178,179,166,116,69,56,29,37,60,62,54,182,187,185,172,174,177,178,180,181,182,184,183,184,188,178,181,183,172,147,105,60,73,62,32,33,58,51,105,195,185,185,173,175,176,178,181,183,183,184,185,176,184,180,176,159,131,90,36,45,76,58,26,45,66,57,171,195,186,186,172,176,178,180,182,183,183,184,187,179,181,176,170,159,111,66,31,66,63,28,24,52,57,117,198,187,189,188,172,175,177,180,182,183,184,185,186,180,178,173,179,162,87,44,33,44,24,24,37,49,63,176,194,189,191,190,172,175,176,179,179,181,183,184,185,179,174,173,182,142,85,60,27,23,28,40,58,46,107,200,189,191,192,192,173,176,177,179,180,182,182,183,184,178,175,180,184,147,95,71,30,27,56,68,74,54,151,202,191,191,191,191,172,176,178,180,182,183,183,183,185,176,172,189,180,148,107,77,48,34,66,76,79,59,168,198,190,191,191,191,172,175,178,180,183,183,184,183,186,176,166,189,178,147,111,80,59,36,66,78,74,72,187,194,191,191,190,190,171,175,178,179,182,183,184,184,186,174,167,182,174,144,107,77,63,41,63,82,61,104,202,190,192,192,192,191,173,176,177,179,182,183,184,184,188,165,163,179,170,138,105,76,62,49,57,74,55,165,198,189,191,191,192,193,174,178,181,182,186,188,190,190,193,162,175,179,159,132,102,76,61,56,53,56,133,204,194,196,194,195,193,189,102,107,113,116,118,121,125,131,127,147,194,183,155,123,95,76,62,60,48,118,183,177,179,186,187,181,179,176,73,74,76,75,76,77,79,79,66,160,205,181,152,114,94,78,61,59,67,87,99,116,124,151,166,154,162,161
19,148,149,151,153,153,154,156,157,157,158,159,158,156,157,155,157,158,155,155,154,153,153,152,151,150,149,149,149,149,151,152,155,156,157,158,159,159,159,158,159,158,157,156,138,140,159,156,155,156,155,155,154,152,152,150,150,150,152,155,157,158,159,159,160,161,160,161,160,157,167,162,119,73,144,161,156,157,157,157,156,154,151,150,152,151,153,156,158,159,160,160,161,160,160,161,162,157,178,160,125,66,113,169,156,157,158,157,157,155,153,154,153,153,155,158,159,160,161,163,163,162,162,163,163,161,182,155,128,68,101,170,157,159,158,158,158,156,155,155,155,155,157,159,161,163,163,165,164,165,164,165,164,165,181,144,118,60,95,173,158,161,159,157,156,158,156,157,156,156,159,161,163,164,164,165,165,165,165,166,164,169,181,130,93,56,98,171,153,157,150,163,169,143,157,157,158,157,160,163,163,165,165,166,166,165,166,166,163,168,176,142,120,137,155,162,149,168,150,190,201,102,156,158,159,159,161,163,164,166,169,169,167,166,166,171,174,172,164,164,162,180,183,168,154,167,158,147,128,111,164,159,159,160,163,164,166,168,168,169,167,174,182,188,194,189,171,149,141,141,140,127,109,101,100,98,116,158,162,162,161,164,165,166,169,167,175,178,173,186,194,193,185,168,158,148,140,103,68,89,107,128,141,161,168,164,163,163,161,164,165,168,168,174,195,185,180,177,176,176,173,174,173,172,176,125,69,165,171,173,170,167,164,163,163,163,161,165,166,171,167,183,199,188,184,176,180,185,186,183,176,172,161,116,55,155,170,166,167,167,165,165,163,163,163,167,169,172,170,180,199,186,178,183,190,189,191,182,169,165,145,98,44,116,179,166,170,167,166,166,165,164,164,169,171,172,171,180,194,172,168,175,185,188,175,165,174,180,179,120,48,67,173,171,170,169,168,166,166,165,165,170,172,175,172,188,181,165,166,167,154,154,176,190,181,173,183,120,51,46,153,176,171,170,170,169,169,166,166,170,173,175,174,188,166,167,172,168,155,177,189,173,163,165,156,103,56,34,134,182,171,171,172,170,170,169,169,170,174,176,176,180,181,186,183,188,193,190,176,168,162,149,125,82,52,33,151,179,172,173,172,172,172,170,169,172,175,177,178,176,198,197,184,181,183,181,168,151,147,162,169,124,36,99,184,173,173,173,174,174,173,171,170,173,175,177,180,175,188,198,176,169,160,132,125,164,187,185,186,147,49,131,186,174,176,174,175,174,172,173,172,173,177,178,180,180,173,187,170,163,153,147,172,197,176,153,149,124,52,80,189,176,177,175,176,175,173,172,172,174,176,179,181,183,177,176,190,188,180,187,187,171,152,140,129,96,33,113,190,177,178,178,177,174,173,173,172,174,176,179,181,186,180,173,192,191,168,167,168,155,138,118,84,77,119,174,182,179,179,180,178,176,175,175,173,174,177,179,182,185,181,170,178,179,155,155,146,127,104,70,39,153,194,180,181,180,180,179,178,177,177,176,174,173,176,178,180,183,180,163,172,168,142,131,113,90,68,53,42,136,189,179,179,180,179,178,177,176,175,175,174,175,178,179,181,184,183,158,161,161,133,119,116,101,61,56,43,86,193,179,181,180,179,177,177,177,176,175,174,176,179,180,183,185,183,160,154,152,132,110,94,77,57,54,42,84,193,180,181,180,178,177,179,178,176,175,174,176,179,181,183,185,180,160,161,146,142,118,90,68,61,57,41,93,196,181,182,181,179,179,179,179,178,177,175
1,169,171,173,175,176,178,178,178,179,179,179,179,178,178,178,175,173,177,172,171,170,169,168,166,164,163,161,161,171,172,175,177,179,180,180,180,180,180,181,180,180,181,178,180,169,140,175,175,171,170,169,169,166,164,163,162,172,176,178,181,181,183,183,183,183,182,183,183,183,183,179,194,175,83,151,170,174,172,172,170,170,168,166,164,174,178,179,182,184,186,187,187,187,186,186,186,183,189,166,169,172,98,154,112,162,179,175,172,171,171,168,167,178,180,183,185,186,188,190,189,189,189,189,190,185,202,147,127,156,100,170,104,145,186,177,176,175,172,171,170,180,182,186,188,188,190,191,190,191,191,192,192,192,206,132,131,160,103,164,102,130,191,178,179,177,175,173,172,182,184,186,190,191,191,193,194,194,194,194,191,183,203,115,127,158,103,161,106,121,193,182,182,180,179,177,175,184,187,189,192,193,195,196,197,197,197,198,196,139,189,112,121,154,102,160,118,120,194,185,185,183,182,179,178,186,190,193,195,196,196,198,197,198,197,208,178,115,177,102,139,157,101,152,116,120,195,186,187,185,183,181,181,189,191,194,196,197,199,199,199,200,199,214,155,105,161,99,175,162,105,171,136,116,199,189,190,188,186,184,182,190,192,197,199,198,199,203,204,203,202,216,141,116,176,106,169,141,102,192,144,122,201,192,192,189,188,186,185,191,195,199,202,202,204,204,206,204,211,216,114,123,169,85,140,107,95,188,129,126,203,193,194,191,189,188,187,194,197,200,203,205,207,206,207,205,220,211,123,161,134,98,141,123,145,182,123,128,205,195,197,194,191,190,188,196,198,201,205,207,209,207,208,205,229,193,115,183,170,160,149,138,170,163,119,130,207,195,197,197,195,193,190,197,199,203,206,209,209,210,210,208,230,191,164,141,177,197,196,152,121,129,110,129,209,200,200,198,195,194,191,199,201,205,206,208,210,211,210,216,226,196,166,111,140,151,186,190,161,119,85,125,213,203,202,200,197,196,194,199,204,206,207,208,211,213,210,225,224,169,137,125,130,135,177,199,188,167,106,119,217,203,204,201,199,199,196,200,206,208,209,210,213,214,210,234,227,159,141,149,140,169,194,195,207,176,148,105,193,210,205,203,200,197,197,202,206,209,210,213,215,216,212,237,228,168,149,152,153,196,224,206,194,168,147,96,177,214,205,205,202,200,198,203,207,210,211,213,215,215,213,233,233,187,162,147,165,221,235,207,176,143,123,96,177,215,205,205,205,202,198,203,207,211,213,215,217,216,214,229,244,209,169,155,161,234,244,199,156,127,102,95,177,217,207,206,205,202,199,205,208,211,214,217,219,219,217,224,240,207,174,161,149,233,226,185,145,119,98,103,199,215,210,208,205,204,202,206,208,212,215,216,217,220,219,222,231,203,186,163,158,220,203,169,135,113,96,124,215,211,212,210,207,206,203,206,208,212,215,217,218,220,220,220,224,214,209,174,188,210,182,153,125,108,97,170,220,212,212,210,207,206,204,207,210,213,215,218,219,219,220,220,219,219,209,171,167,183,164,135,115,102,113,208,216,214,212,210,208,207,205,208,210,214,216,218,219,221,222,223,221,211,190,162,148,155,151,130,115,98,137,223,215,215,214,211,208,207,207,208,210,213,216,219,219,221,221,222,222,203,174,159,161,156,153,148,114,96,171,224,216,214,213,211,209,207,207,206,209,212,215,217,218,219,219,219,219,215,190,189,181,160,146,146,106,92,197,220,214,214,213,210,208,206,205
22,118,127,131,135,144,150,155,159,163,166,168,170,174,175,174,175,176,175,173,173,173,172,170,169,167,165,164,164,120,128,133,137,145,151,157,160,165,167,169,176,176,177,177,178,175,178,181,176,175,175,173,171,168,168,167,166,122,131,136,140,147,153,160,164,166,188,154,130,183,178,180,178,182,161,152,182,176,176,174,176,176,170,169,167,124,134,138,141,148,156,162,166,165,210,159,88,183,180,182,179,194,144,83,180,179,177,180,157,153,176,171,169,125,134,138,143,151,157,163,168,167,214,171,88,180,183,183,185,189,128,81,187,180,182,185,122,85,178,173,171,127,136,140,145,153,158,165,171,167,212,184,94,175,188,185,187,181,110,107,195,178,188,181,110,95,185,174,174,128,137,140,146,155,162,168,172,168,217,204,105,162,193,185,179,172,93,137,195,186,195,159,76,145,188,176,175,129,139,142,148,156,164,169,174,170,215,200,105,149,198,185,173,154,77,160,191,201,195,129,89,186,181,178,177,130,140,144,149,157,166,171,177,172,213,198,105,130,201,184,184,159,73,176,197,194,162,99,137,193,181,181,180,132,142,146,151,160,167,172,177,176,206,219,140,118,200,182,186,136,86,203,217,191,120,81,184,187,185,182,182,134,143,146,152,161,168,173,178,181,194,219,144,99,196,161,162,85,110,230,216,181,90,121,200,185,186,185,184,135,144,147,154,163,171,177,180,183,186,219,130,60,148,143,161,146,185,214,191,147,71,179,195,189,187,186,184,137,144,149,155,163,171,177,180,194,161,164,117,86,155,169,169,199,199,192,161,82,110,203,190,191,189,186,186,138,145,149,156,163,172,178,185,205,160,136,121,132,134,149,178,184,184,180,119,70,185,197,193,192,191,188,186,139,148,150,157,167,177,177,198,213,175,185,169,158,93,62,142,164,177,144,79,119,212,194,195,194,193,191,189,140,149,152,159,169,176,178,205,228,185,168,172,159,133,94,56,106,120,90,63,149,212,196,195,195,194,192,191,141,149,152,160,169,176,178,219,218,173,104,95,150,162,141,95,52,62,70,56,181,208,201,199,198,197,193,192,141,148,152,161,172,177,181,225,219,173,103,47,94,171,158,132,93,62,51,55,195,206,203,200,200,198,194,193,142,150,154,162,171,179,181,228,242,178,187,80,120,209,176,140,118,91,41,33,184,210,203,201,200,199,196,194,143,150,154,163,171,180,183,230,240,178,167,87,176,230,187,146,125,93,38,25,182,213,202,202,200,200,199,196,144,150,153,162,171,180,181,229,242,179,152,162,222,194,183,140,109,80,31,46,204,208,202,202,202,202,200,196,142,150,153,161,171,180,178,220,234,199,159,191,234,174,160,162,102,72,21,88,220,201,202,201,201,201,200,196,143,150,152,163,172,181,181,212,231,210,161,197,225,175,156,156,116,59,15,130,221,202,203,202,201,202,200,196,144,150,153,163,173,182,183,205,224,213,165,179,211,170,150,140,97,46,19,172,216,206,206,203,202,202,200,198,143,150,153,162,172,180,187,182,223,204,166,146,175,142,119,105,63,24,54,211,206,205,205,201,200,199,198,197,145,152,155,166,176,185,192,50,143,203,122,110,128,126,100,71,49,25,145,229,214,215,213,210,208,208,207,205,118,122,124,127,130,139,110,24,27,110,116,124,130,144,119,72,48,39,135,145,141,140,141,142,141,141,141,141,91,91,90,92,92,83,37,30,30,22,93,126,126,135,116,64,25,12,77,78,75,75,73,73,71,71,60,40
4,157,161,165,169,172,175,177,179,181,184,185,187,187,189,190,191,191,190,189,190,189,188,188,187,187,187,186,185,159,163,166,170,173,175,179,180,182,186,187,188,189,192,191,191,193,196,194,191,191,191,190,189,187,188,187,187,160,165,168,172,174,178,180,182,184,187,188,187,188,192,195,200,176,153,183,196,194,193,191,191,190,190,189,188,161,165,169,173,175,178,180,184,188,191,188,197,182,150,184,226,183,127,123,208,195,194,193,193,192,192,191,189,162,166,171,174,178,180,182,186,187,183,200,235,197,150,137,227,185,138,106,181,179,195,196,193,193,193,192,190,164,167,172,176,179,181,183,184,196,195,183,222,210,164,120,211,191,134,72,117,144,133,197,197,195,194,194,193,165,169,173,177,181,183,183,192,228,225,167,150,223,181,118,194,195,129,63,119,156,101,132,206,194,196,194,194,164,170,174,176,181,186,183,205,224,213,154,127,211,165,103,160,171,110,64,128,157,110,88,202,198,197,196,195,165,170,174,180,181,184,184,204,205,204,153,116,189,150,97,120,147,104,78,161,164,107,85,202,199,196,195,196,167,171,175,180,182,186,184,205,199,182,162,125,169,145,100,80,127,79,109,196,150,88,93,206,199,196,196,198,167,172,177,181,184,189,186,206,219,184,169,144,142,183,131,104,124,88,114,159,122,66,96,210,200,201,199,198,168,174,178,182,184,188,186,210,230,202,160,101,109,181,151,174,147,153,159,173,160,96,101,214,199,202,200,199,169,174,178,182,184,189,187,220,225,183,147,110,89,91,110,173,150,177,192,203,184,110,113,214,201,203,201,200,169,174,179,183,186,189,188,226,210,160,129,105,88,83,81,123,153,165,177,181,160,114,96,203,204,204,201,201,170,175,180,183,187,190,191,231,214,175,142,107,92,94,108,111,122,137,140,147,151,131,81,176,212,202,202,201,170,176,180,185,186,189,197,233,211,172,131,109,100,94,108,136,121,155,167,165,167,143,89,131,218,201,204,202,172,177,182,186,188,190,200,232,208,166,128,106,104,95,115,142,148,204,201,207,197,155,108,83,202,208,206,205,173,178,182,186,192,190,202,229,205,166,137,119,111,107,117,136,187,216,219,211,210,168,118,69,170,216,205,206,172,179,182,184,190,190,203,223,200,170,142,130,118,114,113,169,220,218,221,192,188,152,113,71,175,215,205,206,171,177,181,183,188,189,200,219,197,175,145,123,110,118,140,215,228,222,203,180,156,129,87,101,209,206,205,206,171,176,181,183,188,190,197,221,208,168,132,124,118,134,174,231,225,210,180,159,130,102,69,168,215,204,205,206,172,177,181,185,189,193,194,218,209,178,159,157,128,140,195,228,214,193,165,138,114,74,110,216,206,208,206,206,173,177,182,186,189,194,193,214,212,187,163,164,132,128,211,215,198,171,147,120,94,67,183,215,208,208,206,206,173,178,182,185,189,195,190,215,219,192,170,163,131,134,206,198,173,149,121,101,66,117,220,208,209,209,207,207,173,179,183,185,189,193,188,230,225,197,168,151,114,136,190,179,149,124,99,80,65,192,213,208,208,209,208,206,173,179,183,185,192,185,208,235,215,183,159,125,105,145,166,136,104,92,80,57,150,218,207,209,208,207,207,206,170,176,180,184,187,185,231,228,213,193,161,129,126,148,137,99,86,88,66,128,215,207,209,209,208,209,207,209,130,133,133,134,123,177,236,217,212,191,155,140,137,136,120,92,93,91,74,125,137,136,136,135,136,137,138,140
7,133,152,163,168,173,177,180,180,182,184,186,188,188,189,189,190,191,190,190,190,188,188,187,186,185,183,182,181,135,153,164,169,174,177,180,182,183,185,188,188,190,189,190,191,192,192,191,190,190,189,188,187,186,184,183,183,136,155,164,171,175,179,181,183,184,187,188,189,191,191,192,193,193,193,193,192,191,190,189,189,187,186,185,184,137,155,165,172,176,179,182,184,186,188,188,189,191,193,193,194,194,193,193,193,193,191,191,191,190,188,187,186,137,156,165,171,177,180,183,184,187,189,189,191,192,194,194,194,194,194,194,194,194,194,194,193,190,189,188,186,138,157,165,173,177,181,183,184,187,188,190,191,194,196,197,198,199,199,198,197,195,191,188,187,191,191,190,188,139,157,165,172,177,181,184,187,190,192,194,193,192,189,184,178,167,165,162,165,154,146,168,170,165,192,189,189,140,158,166,173,177,181,184,177,170,165,165,163,158,147,143,147,126,133,137,132,133,134,166,163,145,195,193,190,142,159,167,174,178,184,172,146,140,146,147,151,150,142,135,128,125,126,128,124,128,124,125,120,141,175,187,193,142,160,165,173,182,180,163,135,128,133,132,133,135,136,137,140,140,126,131,139,133,129,126,120,124,144,144,186,143,159,169,177,177,167,157,139,127,124,132,141,148,151,150,146,138,117,123,139,128,119,118,111,117,136,123,177,142,169,176,173,167,163,161,152,148,149,154,158,149,147,143,139,122,111,111,113,108,106,106,107,111,122,150,193,170,179,172,171,171,168,155,135,127,131,140,139,133,129,119,110,107,121,135,151,163,174,181,185,190,193,197,195,184,177,175,175,170,155,145,115,109,122,119,109,101,116,157,175,187,196,205,208,207,206,204,203,201,198,196,195,180,178,177,167,151,147,135,110,107,102,92,82,87,97,118,130,198,206,201,201,201,200,200,199,199,197,196,195,179,180,169,156,147,142,137,130,114,97,95,99,97,93,87,70,145,212,200,203,203,202,201,201,201,199,197,196,180,172,155,147,142,140,149,153,128,100,99,102,101,99,99,85,149,214,202,203,202,203,202,202,201,199,197,196,168,154,140,139,138,137,140,137,110,95,93,89,93,94,95,78,118,210,204,204,204,204,202,201,200,200,199,196,149,142,138,137,133,125,127,116,99,88,79,85,97,99,96,84,141,207,203,205,204,204,202,201,200,200,198,196,144,142,139,134,127,114,108,110,107,95,94,104,106,100,84,153,213,204,204,205,204,204,202,201,201,200,199,196,139,130,124,118,113,110,115,125,119,103,97,92,93,96,142,204,203,203,203,203,203,202,201,201,199,199,197,195,131,124,122,120,118,118,121,124,110,91,105,138,164,190,205,201,201,202,202,201,201,201,201,200,199,198,196,195,129,126,126,122,115,112,108,100,97,135,188,204,205,202,200,202,202,202,202,201,202,201,201,200,200,199,196,195,110,114,111,108,104,101,111,141,173,199,199,197,198,199,200,201,202,202,202,201,201,201,200,200,199,198,196,195,85,61,108,145,146,162,180,191,192,191,194,196,198,199,200,200,200,201,201,201,201,200,201,200,198,197,195,194,76,39,136,188,184,189,189,189,191,195,197,199,201,201,203,203,203,202,202,201,200,199,199,198,195,194,195,193,56,45,143,165,156,157,156,156,155,156,155,152,151,152,152,151,149,146,146,145,142,140,139,136,134,131,113,106,39,58,118,122,121,124,123,123,125,124,122,123,123,124,124,122,121,121,120,120,120,119,118,116,115,91,60,58
20,187,191,195,200,204,206,209,212,213,215,216,217,218,219,222,221,223,219,223,220,221,219,220,219,219,218,217,216,189,193,198,202,206,208,210,213,215,217,219,220,221,222,223,222,255,190,203,221,222,223,221,221,221,220,219,219,191,195,200,205,208,211,213,217,218,220,221,222,224,226,225,224,255,180,201,207,192,231,224,224,225,223,221,220,193,198,201,206,211,212,215,218,219,221,223,225,226,227,226,228,255,186,225,224,164,234,227,228,227,226,225,223,194,199,203,207,212,213,217,221,222,223,226,228,228,229,227,231,255,205,222,244,162,228,230,230,229,228,227,226,197,201,205,209,213,216,219,222,225,225,228,229,231,234,228,238,255,204,227,255,171,223,235,233,233,232,230,228,199,203,207,211,215,218,222,225,227,228,230,230,231,231,229,249,255,198,242,255,171,219,239,235,235,233,232,230,201,206,210,213,218,221,223,226,229,229,233,235,235,249,233,249,255,196,249,252,164,219,241,236,236,235,234,232,203,208,212,216,220,222,226,228,230,233,234,228,255,255,255,192,218,196,249,249,167,226,242,239,238,237,236,234,204,210,214,219,222,224,227,229,232,234,240,255,255,239,249,197,146,156,224,227,170,232,244,241,239,239,237,236,206,211,216,219,224,227,230,232,235,231,255,255,255,206,224,231,219,183,169,193,165,236,245,243,241,240,240,239,209,213,217,221,225,229,232,233,237,235,255,227,219,255,182,233,255,220,147,153,157,242,244,244,243,242,241,241,210,214,218,223,227,230,234,235,238,235,255,214,144,160,126,160,253,235,172,138,147,241,247,246,245,243,244,243,211,216,220,225,228,232,235,238,240,241,255,222,204,165,142,132,216,255,210,143,141,242,250,248,247,245,245,244,213,217,221,226,230,234,236,239,241,244,255,255,208,170,161,164,188,255,244,167,130,239,252,250,249,247,247,247,215,218,222,227,231,234,238,241,242,246,255,245,188,167,172,187,216,255,255,194,134,230,255,250,251,248,248,248,217,220,224,229,233,236,240,242,242,247,255,250,203,188,192,201,255,255,255,210,143,228,255,250,252,250,250,250,218,222,225,231,235,238,241,244,246,248,255,255,221,197,209,228,255,255,248,207,147,227,255,255,254,252,252,251,219,223,227,232,236,240,241,246,248,250,255,255,237,203,222,253,255,255,244,200,150,227,255,255,255,253,254,254,218,223,227,232,234,238,242,246,248,247,255,255,242,220,224,255,255,255,239,195,144,224,255,255,255,255,255,255,219,224,228,233,234,239,242,246,248,246,255,255,247,244,230,255,255,255,230,188,137,220,255,255,255,253,253,253,220,226,229,233,236,241,244,247,249,247,255,255,255,255,244,255,255,243,221,185,129,221,255,255,255,255,253,253,220,226,229,233,238,242,245,247,250,250,255,255,255,255,251,235,255,221,212,173,126,230,255,255,255,255,255,255,220,226,230,235,239,242,244,248,250,252,255,255,255,255,229,212,228,207,212,168,133,252,255,255,255,255,255,255,222,228,232,236,239,242,245,248,255,255,255,255,255,238,199,188,215,207,204,144,164,255,255,255,255,255,249,179,218,224,230,236,240,245,248,255,238,141,116,255,255,217,187,180,226,201,186,119,212,255,255,255,255,247,160,131,173,174,177,180,182,187,188,196,184,109,49,225,255,227,187,196,243,177,152,98,89,200,232,230,225,154,120,121,137,134,138,141,143,141,139,142,158,164,120,152,239,215,192,213,233,148,125,73,58,114,143,150,159,134,108,97
24,224,225,225,226,225,227,226,226,226,225,225,225,224,222,220,219,217,216,214,213,210,209,208,206,203,200,199,196,228,228,228,229,229,230,229,228,228,229,228,228,227,225,224,223,221,219,217,221,217,213,212,210,208,206,202,199,232,233,234,235,234,233,233,231,232,233,234,233,231,229,228,227,226,225,220,182,209,220,216,214,212,208,205,202,235,235,236,235,236,236,235,237,236,236,236,235,234,233,231,230,229,227,230,142,162,230,216,217,214,212,209,206,239,239,238,239,239,243,244,237,237,238,237,237,236,236,235,234,231,232,238,144,153,233,220,220,216,215,212,210,244,243,243,244,247,213,217,248,241,242,242,241,240,238,237,236,234,237,238,140,159,239,225,224,222,220,216,215,245,245,246,246,246,185,135,241,248,247,247,246,245,243,242,241,236,246,235,131,178,241,226,228,225,221,219,219,247,248,247,247,246,200,124,189,255,246,249,249,247,245,245,244,237,255,229,131,197,242,229,229,226,224,221,219,251,251,250,250,255,225,149,145,255,248,250,252,249,247,247,246,249,254,201,120,219,241,233,232,229,228,225,222,253,253,253,252,255,242,175,115,247,255,252,253,255,254,250,240,243,255,174,115,241,239,237,237,233,231,228,225,254,255,255,254,255,253,210,118,202,255,254,255,225,226,254,213,143,187,167,147,255,239,241,238,234,233,231,227,255,255,255,255,255,255,227,141,142,255,255,236,202,174,192,185,140,113,125,184,255,242,244,241,237,236,234,230,255,255,255,255,255,255,233,172,112,244,255,229,222,189,176,162,194,153,74,216,255,245,245,243,240,239,236,232,255,255,255,255,255,255,246,215,139,184,236,223,233,186,190,189,198,146,87,243,253,248,246,246,243,239,238,235,255,255,255,255,255,255,255,238,158,130,178,189,255,191,143,147,180,172,95,222,255,252,249,247,245,242,240,237,255,255,255,255,255,255,255,242,200,179,158,157,229,199,102,71,206,199,111,154,255,249,252,249,248,246,242,238,255,255,255,255,255,255,255,248,253,196,135,106,201,171,97,64,178,224,169,94,231,255,252,252,251,248,245,241,255,255,255,255,255,255,255,255,243,168,134,110,194,156,87,113,242,243,206,95,168,255,250,253,252,248,244,243,255,255,255,255,255,255,255,255,241,208,196,133,187,186,113,212,255,232,181,89,176,255,251,253,252,249,246,245,255,255,255,255,255,255,255,255,245,241,208,145,166,153,186,255,240,211,162,74,210,255,254,255,254,250,248,246,255,255,255,255,255,255,255,255,235,254,221,184,135,159,255,255,234,196,151,85,239,255,255,255,254,254,251,247,255,255,255,255,255,255,255,255,240,236,225,205,147,172,255,251,224,188,132,95,255,255,255,255,254,253,249,247,255,255,255,255,255,255,255,255,240,224,222,219,173,158,250,250,211,172,108,111,255,255,255,255,253,250,246,243,255,255,255,255,255,255,255,255,249,226,227,222,206,154,233,247,199,150,79,157,255,255,255,255,255,249,251,255,255,255,255,255,255,255,255,255,255,236,233,221,221,139,191,220,161,117,59,214,255,255,255,255,255,255,240,189,255,255,255,255,255,255,255,255,255,241,240,222,202,151,150,181,139,88,82,255,255,255,255,255,253,205,112,63,192,197,203,210,214,219,224,229,232,248,236,209,192,177,139,171,146,66,162,255,255,255,238,179,113,65,55,56,131,131,133,134,131,130,130,124,143,251,244,226,219,190,159,172,128,73,126,146,140,126,96,59,58,64,55,53
4,127,130,133,136,139,143,147,150,152,153,157,158,160,162,165,166,166,166,167,168,169,169,169,169,169,169,168,167,128,132,134,137,141,145,149,152,154,155,158,160,163,164,165,165,168,168,169,170,170,171,171,170,171,171,170,169,130,134,135,138,142,147,150,152,156,157,159,163,163,172,159,132,149,171,166,166,172,173,173,173,173,172,171,171,132,135,137,140,144,148,151,154,157,162,153,149,165,192,171,130,112,151,147,121,151,175,174,175,175,174,173,173,133,136,138,142,146,150,153,155,169,190,163,143,144,188,177,152,123,112,144,110,101,164,177,177,177,176,176,176,135,137,138,142,147,151,155,154,186,215,191,167,132,160,187,159,133,92,136,122,95,136,180,177,178,178,177,177,136,138,139,143,148,152,154,156,179,202,210,188,146,128,188,166,133,86,130,128,97,127,182,179,179,179,179,178,136,139,141,145,150,152,167,175,168,167,178,189,144,101,150,163,119,81,122,125,91,125,182,180,179,179,180,179,137,139,142,146,151,151,191,205,193,177,147,126,116,84,100,128,95,75,104,107,84,135,183,180,181,181,180,180,137,139,143,147,152,152,196,193,189,180,137,87,82,79,70,99,79,59,81,76,74,152,183,182,183,182,181,181,138,139,143,147,153,155,185,142,134,145,112,77,68,86,60,89,98,114,131,87,69,162,184,183,183,183,183,183,140,141,143,148,153,157,179,121,84,110,114,82,68,87,88,111,151,178,162,109,81,137,181,185,184,185,184,184,141,143,144,149,154,157,180,139,110,97,118,93,93,130,138,151,174,179,144,108,95,92,125,170,185,186,185,185,141,143,145,150,155,157,180,155,128,98,90,78,94,147,136,145,153,143,115,102,102,99,92,103,151,187,186,186,142,145,147,151,156,157,178,167,125,92,77,67,64,104,108,112,110,102,91,96,102,103,100,91,94,172,188,187,143,145,148,153,157,158,177,176,137,111,93,79,64,61,80,98,103,95,83,88,101,110,103,95,92,161,189,187,144,145,148,153,157,159,175,188,158,120,101,86,74,69,92,131,140,136,127,111,108,120,105,96,105,172,190,187,143,146,148,154,158,160,174,188,162,132,120,99,85,80,114,162,178,178,168,145,125,117,103,98,133,186,190,189,143,146,149,154,158,161,171,190,165,151,136,107,91,88,123,179,189,183,168,143,122,105,98,105,167,191,190,191,145,146,150,155,158,162,169,187,168,160,137,103,94,95,124,180,180,171,158,137,115,101,97,124,187,192,192,191,146,146,150,155,159,163,168,183,169,154,130,100,99,102,126,169,164,157,148,129,108,101,103,152,194,193,192,192,146,146,150,155,160,165,167,180,170,151,125,103,109,110,136,161,155,150,137,116,102,102,115,177,194,192,193,194,145,147,151,157,161,164,168,176,174,150,123,116,126,119,137,150,147,138,118,104,100,104,143,191,194,194,195,194,146,147,151,157,161,165,169,173,172,150,132,133,132,120,119,131,127,118,104,99,100,117,177,194,195,195,195,194,146,147,152,157,162,165,170,172,175,159,139,133,124,110,101,105,105,100,98,102,102,144,194,197,197,196,195,194,146,147,152,157,161,166,170,172,176,171,139,119,110,100,97,99,99,99,100,102,94,152,197,197,197,196,195,195,147,148,154,158,162,166,171,173,175,175,141,108,96,94,96,101,101,99,100,98,86,136,198,196,196,197,197,197,147,149,153,158,162,166,171,174,175,172,151,115,103,105,106,107,104,98,98,95,87,122,195,196,196,198,198,198
4,150,153,158,160,163,165,167,169,171,172,172,174,175,176,177,177,177,175,177,176,176,176,175,174,174,173,173,173,150,154,158,162,163,164,166,169,171,172,173,175,176,177,177,178,178,177,179,178,177,176,175,175,175,175,175,174,151,156,159,162,164,165,168,170,171,173,175,175,177,186,181,164,167,187,170,167,177,179,177,178,177,176,174,174,153,158,160,163,165,168,169,171,172,174,182,176,178,209,179,165,147,200,168,142,155,178,178,179,178,177,175,175,154,158,160,164,166,169,171,172,173,194,215,190,165,211,185,163,165,205,170,136,128,172,152,172,179,178,177,176,156,159,162,166,167,170,172,174,173,217,231,209,152,182,194,157,177,206,171,129,172,162,124,125,178,177,176,177,156,160,165,166,170,171,173,175,183,220,223,196,143,166,196,154,181,198,167,165,185,141,110,94,165,179,178,178,158,162,165,168,171,172,174,174,202,208,207,185,131,148,177,185,182,193,210,218,178,117,96,89,165,179,179,179,158,162,166,169,172,174,175,174,215,203,193,181,127,124,165,179,197,212,221,208,182,134,94,86,172,181,181,181,158,163,167,170,172,175,176,189,223,197,172,180,127,107,159,124,155,185,192,183,191,151,103,95,179,183,182,181,159,163,166,170,172,175,175,211,212,177,159,141,105,108,158,108,136,165,153,181,199,164,116,117,183,184,183,182,160,164,167,171,173,175,178,227,203,165,143,137,115,117,131,111,128,161,108,190,213,180,132,118,185,184,184,183,162,165,168,172,174,176,183,236,204,163,137,123,109,119,118,127,133,151,139,188,222,194,144,103,170,185,185,184,162,165,170,172,175,177,194,240,204,163,133,119,113,123,124,159,161,185,202,197,208,186,146,109,138,187,185,186,162,166,170,173,176,178,207,239,204,158,135,130,119,118,131,169,185,210,205,203,177,165,151,120,131,188,187,187,162,167,171,174,176,177,217,238,203,158,154,145,126,128,164,204,214,211,204,188,161,137,139,113,154,189,189,187,162,165,169,172,175,176,222,236,204,174,180,158,145,187,218,230,217,210,195,170,144,122,115,113,179,187,187,187,161,165,169,172,176,176,226,237,217,201,194,167,168,218,231,237,219,196,180,157,136,115,102,149,189,188,187,187,162,166,170,173,177,177,225,240,228,208,194,181,174,225,234,231,211,176,165,147,130,108,114,183,189,189,189,189,162,166,170,174,177,178,218,241,231,211,191,183,183,228,229,214,194,164,150,138,119,102,157,190,191,189,189,189,163,168,171,174,178,178,207,238,223,210,194,184,188,215,211,193,174,153,145,131,106,119,187,192,193,190,190,189,164,168,171,174,178,179,205,229,211,204,199,186,186,199,196,179,157,145,141,119,102,167,192,191,191,191,189,188,163,166,171,174,178,180,199,220,201,201,200,183,177,196,192,174,146,134,130,110,140,191,193,191,190,190,189,188,160,165,170,172,176,178,192,217,200,199,194,179,169,194,192,160,131,122,118,121,182,191,191,190,190,189,189,187,137,138,139,140,141,143,161,225,211,205,191,181,164,185,183,145,121,116,106,120,141,139,138,138,136,136,136,138,103,102,101,101,102,103,124,232,224,211,198,188,166,176,181,143,117,106,101,96,96,95,95,94,94,94,94,95,107,107,106,107,109,110,117,227,228,210,199,191,165,162,184,146,114,101,98,100,101,100,98,97,98,97,100,159,108,109,108,109,109,110,109,218,226,206,191,188,165,153,178,143,110,99,96,101,102,102,100,99,100,97,165,213
23,104,108,111,114,118,120,123,126,127,129,130,133,133,134,135,137,137,137,141,140,141,144,144,144,144,145,145,146,105,109,113,116,119,122,123,126,128,131,131,132,134,136,137,139,139,140,143,146,144,145,145,145,146,145,145,147,106,110,113,116,121,123,124,127,129,131,132,134,137,137,135,138,132,137,140,119,140,147,146,147,147,147,149,148,108,110,114,118,122,123,125,128,130,131,133,135,136,136,144,144,130,120,97,59,141,149,147,150,148,149,150,149,109,113,115,119,122,124,126,129,131,133,135,133,137,145,150,129,79,78,70,115,152,147,149,151,150,150,150,150,109,113,116,119,123,124,127,130,131,135,133,142,156,135,124,72,78,124,146,154,148,150,151,151,151,152,152,152,109,114,117,119,123,125,128,131,132,135,130,156,161,103,62,98,151,94,125,153,147,151,153,152,153,153,152,153,110,114,118,121,124,127,128,130,133,136,132,159,165,112,123,174,138,90,92,161,152,151,153,153,153,154,155,155,110,115,119,121,125,126,128,131,133,137,136,165,159,157,172,147,121,131,106,124,136,152,152,153,154,155,155,155,110,115,119,122,125,127,129,133,135,137,139,162,153,161,151,149,150,140,104,54,65,138,157,154,155,156,155,156,112,117,120,124,125,127,131,135,136,136,142,148,143,147,150,144,136,129,86,41,31,94,168,155,155,156,156,156,112,117,120,124,126,128,129,134,134,147,151,137,133,144,142,136,133,115,73,42,36,50,110,161,155,156,156,155,111,116,120,124,127,128,131,133,138,174,158,140,146,134,126,116,94,96,77,43,30,53,50,118,164,155,156,155,112,116,121,125,127,129,132,135,135,169,169,155,148,118,88,46,47,111,76,41,21,53,53,111,166,156,157,157,112,117,122,124,128,130,132,136,137,161,166,150,133,119,89,33,51,113,71,37,37,60,66,151,160,157,158,158,113,118,122,126,128,130,132,135,136,162,167,141,156,115,47,23,77,67,29,29,62,64,100,166,157,159,159,160,113,118,123,127,128,129,132,135,135,161,161,151,148,103,51,11,29,6,20,39,69,68,146,160,158,159,159,159,114,117,122,125,128,130,133,137,137,161,158,158,145,103,65,3,2,26,53,63,59,96,165,157,159,159,159,159,114,119,123,125,128,130,133,137,138,163,158,159,143,100,71,20,21,56,72,77,58,135,165,159,160,160,159,159,116,119,123,126,129,132,135,136,140,163,160,158,137,101,73,28,37,66,76,67,88,166,157,161,161,160,160,160,116,119,123,128,129,131,134,136,141,164,157,149,130,97,71,35,43,72,77,59,120,168,158,161,161,161,161,161,115,118,124,128,129,132,136,136,145,164,147,140,125,95,72,49,45,73,71,60,149,162,160,161,161,162,161,162,115,119,123,128,129,132,135,136,145,162,144,137,120,97,79,57,49,70,60,89,167,159,161,161,162,163,163,164,116,120,124,128,130,132,137,136,149,162,145,140,120,101,84,62,52,61,59,145,163,161,162,163,163,164,164,164,115,120,124,129,129,132,138,135,154,163,145,136,121,107,82,61,55,49,116,165,159,162,162,162,164,165,165,164,116,120,125,129,131,134,136,138,162,156,143,130,118,102,69,62,49,108,166,159,161,161,162,162,164,165,165,164,116,120,125,129,131,136,134,152,165,150,140,121,102,86,69,53,88,167,159,161,161,161,162,162,164,165,165,165,116,121,126,129,130,134,132,160,157,149,135,115,95,85,68,51,143,164,160,162,162,162,164,163,164,165,165,165
13,136,138,143,150,157,161,164,166,169,173,177,179,181,183,186,187,188,189,189,190,191,190,190,190,191,191,190,190,138,141,145,152,158,162,165,167,170,174,178,180,182,185,187,188,189,190,191,192,192,192,192,191,193,193,193,192,140,143,148,154,160,164,167,170,173,176,179,182,185,187,189,190,190,191,192,193,194,194,194,194,195,195,194,193,142,145,150,156,162,166,169,172,175,178,180,183,186,189,191,194,194,186,184,192,195,196,196,196,197,196,195,195,144,147,152,158,164,168,171,175,178,180,183,185,188,190,197,210,207,176,147,159,176,186,195,198,198,198,197,197,145,148,154,160,165,170,173,177,180,183,186,188,190,185,186,202,208,171,121,107,134,146,168,196,199,199,199,199,146,150,155,161,167,171,175,178,181,185,188,196,199,172,154,161,191,175,124,98,129,123,127,187,201,201,200,200,147,151,157,162,168,173,176,180,183,186,181,199,215,192,154,128,159,186,143,104,134,121,118,186,202,202,201,201,148,152,158,164,170,174,177,181,190,193,163,156,198,211,175,122,115,167,145,107,142,130,129,191,204,204,203,202,150,153,159,165,171,175,179,188,206,208,171,131,149,208,189,130,83,106,115,100,153,140,150,199,205,205,204,203,152,155,161,168,172,177,184,201,206,210,190,140,111,178,181,127,71,59,79,95,140,129,156,203,207,206,205,205,153,157,164,170,174,179,196,205,183,192,192,146,96,145,168,121,69,55,90,120,134,118,132,191,208,208,207,207,155,159,166,172,176,186,210,205,174,173,174,131,87,120,164,131,77,88,137,150,132,113,114,163,206,209,209,208,158,162,169,175,179,194,211,192,159,153,154,113,72,98,164,141,99,143,175,161,129,105,104,135,200,210,210,210,160,164,172,178,183,204,218,194,160,137,136,106,64,79,155,148,141,183,182,156,126,103,96,131,200,212,211,211,161,167,175,181,186,210,225,202,168,130,117,102,80,110,173,185,191,193,172,144,119,97,93,155,209,214,214,213,162,169,178,184,190,216,231,210,177,139,121,120,137,174,206,212,207,186,159,133,110,89,107,186,214,215,215,214,165,172,181,187,193,220,235,218,184,159,155,153,171,195,211,211,199,175,148,125,100,83,132,206,215,216,216,216,169,176,184,190,196,220,232,225,196,177,171,162,183,201,208,205,187,162,138,115,91,87,163,215,218,217,217,217,173,180,188,194,199,215,228,228,207,189,177,168,189,205,201,191,170,147,126,105,87,118,198,220,220,219,219,219,176,183,192,197,201,209,225,226,213,196,181,172,185,201,194,174,154,134,117,99,109,178,220,223,222,221,221,221,179,186,194,199,203,206,219,222,216,204,191,179,179,192,187,163,141,123,108,106,164,217,226,225,224,223,223,222,181,188,196,201,206,206,213,222,218,211,202,186,176,183,177,152,125,112,103,144,211,227,228,228,226,225,222,215,183,191,199,205,208,207,209,220,211,205,198,182,170,173,164,140,114,103,121,194,228,230,230,229,227,214,180,145,185,193,202,207,211,210,210,216,197,192,194,183,170,165,154,135,112,101,156,222,232,232,232,230,211,154,93,62,187,195,203,208,212,212,211,219,201,198,202,192,172,158,148,133,112,105,183,229,234,234,228,206,146,84,59,40,188,196,203,208,212,213,211,224,212,211,212,197,175,156,145,132,110,109,196,232,235,222,177,120,72,59,59,42,189,197,204,209,213,214,211,225,223,223,219,199,178,157,144,132,108,110,200,233,233,188,107,63,43,49,61,51
2,204,207,209,211,211,212,213,214,214,213,213,213,211,212,212,211,211,212,212,209,205,204,203,202,201,200,198,196,207,208,211,212,212,214,215,215,215,216,216,215,218,218,216,214,212,207,199,206,214,207,205,203,202,200,199,198,208,209,212,212,213,214,215,216,216,217,217,205,183,184,191,189,178,172,157,138,170,204,211,208,203,202,200,199,209,211,214,215,215,215,216,217,217,218,217,198,175,173,178,179,172,160,151,128,111,145,171,189,208,203,203,201,209,213,214,215,216,217,218,218,219,221,207,187,190,189,188,185,174,151,132,137,141,136,140,149,208,203,203,201,210,213,214,216,217,218,219,219,220,217,189,181,194,195,186,177,173,152,143,149,163,160,130,139,209,205,203,202,211,213,215,217,217,218,219,219,221,213,197,190,184,171,160,181,190,131,115,133,141,135,127,183,211,206,204,203,213,214,216,218,218,219,220,220,222,214,192,192,185,171,163,160,136,149,198,175,156,163,207,214,207,207,205,204,213,215,216,218,219,221,222,222,220,212,209,197,178,159,136,132,151,210,225,222,221,219,213,212,214,214,209,204,214,216,215,218,221,222,222,221,203,203,199,180,151,100,154,219,224,222,217,216,216,213,217,201,167,153,189,209,214,216,218,219,220,221,223,219,197,194,179,152,109,74,160,235,219,222,221,218,216,218,201,145,117,110,139,211,214,217,218,220,221,223,222,212,190,178,149,108,92,89,151,232,220,223,221,218,221,205,153,125,120,114,134,213,215,218,218,220,222,223,218,211,197,171,117,87,99,92,164,232,220,223,219,222,210,155,130,130,121,105,175,215,216,218,220,220,222,223,218,213,196,170,120,90,101,92,149,239,221,221,223,224,162,116,117,123,109,132,215,207,216,218,221,222,222,223,220,213,193,164,114,94,102,96,95,186,228,229,223,179,131,104,106,110,107,198,214,208,216,219,220,223,223,223,216,211,193,154,110,106,102,97,98,98,140,191,157,125,120,121,106,105,186,218,210,210,217,218,221,223,224,223,216,212,191,153,123,114,101,100,104,107,105,111,107,107,117,116,111,193,222,214,212,210,217,218,222,223,225,223,215,209,191,162,129,112,100,100,101,108,113,117,110,112,119,107,189,223,214,215,213,210,215,218,222,223,224,223,210,203,191,160,133,117,98,99,101,107,112,118,117,111,99,163,230,215,216,215,213,210,215,218,222,223,225,222,208,200,187,159,141,116,96,99,104,107,112,119,124,106,119,218,220,217,215,215,213,211,216,219,222,223,225,221,208,200,183,162,139,115,99,99,104,109,114,118,120,102,193,228,218,219,217,215,214,213,216,219,222,223,225,220,204,206,194,162,137,121,99,98,106,111,116,121,108,122,227,221,222,220,218,216,215,213,216,218,221,223,227,216,203,214,198,160,136,121,101,96,108,113,117,120,93,179,231,220,220,219,217,215,214,212,215,217,219,221,224,212,206,214,191,157,135,123,104,94,109,115,117,100,124,227,221,220,219,217,216,214,212,212,214,216,218,220,223,209,207,207,184,152,133,124,107,95,107,114,105,98,203,227,219,219,218,216,215,214,211,210,214,216,217,219,223,208,205,200,176,150,136,124,108,96,106,107,91,182,229,219,220,218,217,216,215,213,211,209,214,215,217,219,221,206,201,188,166,147,133,120,105,98,99,99,176,231,220,221,220,218,216,216,215,212,211,210,212,214,217,219,218,205,192,182,161,141,130,118,108,95,106,198,230,221,222,221,218,217,215,214,213,211,210,208
7,158,163,168,171,174,175,176,176,176,178,179,180,179,179,178,178,178,178,177,177,176,175,176,161,180,189,191,194,164,169,173,175,178,179,180,181,182,183,183,183,183,182,180,179,179,178,178,177,176,175,175,174,187,139,199,195,171,174,178,181,183,184,186,187,187,187,188,187,185,185,184,185,184,182,181,180,179,178,176,177,172,148,200,195,177,180,184,188,190,190,192,192,192,192,192,192,191,190,189,189,187,187,185,184,183,181,180,177,185,200,188,194,182,186,190,193,195,197,197,197,198,197,197,197,196,195,195,194,192,191,191,188,188,185,182,182,181,168,146,194,186,192,196,198,200,202,202,202,202,202,202,203,202,201,200,200,199,197,196,194,193,191,187,185,184,176,167,196,191,196,200,203,205,207,207,207,207,207,208,207,207,206,205,203,204,202,201,200,197,195,192,190,188,185,185,199,196,200,205,207,209,210,212,213,212,212,212,212,211,210,210,208,208,208,205,203,201,199,197,195,193,191,193,208,201,205,209,211,215,215,217,219,220,218,218,218,217,216,216,215,214,212,210,208,206,204,201,200,197,194,194,212,206,210,214,217,220,219,211,190,173,187,195,200,199,196,193,190,199,207,212,213,212,209,205,203,201,197,198,213,209,214,219,219,217,214,203,165,114,131,159,176,168,168,167,157,148,155,163,163,181,192,205,208,204,205,204,215,214,218,216,213,213,208,197,164,132,131,139,153,152,156,159,148,128,141,146,141,152,154,182,184,209,170,174,218,213,212,212,218,216,212,199,160,122,135,140,148,144,147,154,146,128,123,128,136,144,150,175,159,188,76,131,226,217,218,218,223,220,213,192,155,105,114,131,150,158,151,156,141,140,132,142,153,137,138,143,153,162,89,82,162,222,219,219,223,217,209,191,142,108,120,127,138,140,142,141,139,133,127,138,152,141,140,142,163,176,146,81,67,222,223,220,221,222,214,210,165,101,97,93,84,117,135,129,127,127,132,137,140,132,129,128,127,144,120,79,68,225,220,217,222,214,206,217,174,99,88,92,82,112,174,228,226,229,228,203,143,82,82,81,79,80,74,71,71,218,211,209,211,197,198,198,154,105,95,98,99,89,81,195,210,153,119,82,61,58,52,51,65,63,65,69,69,211,210,204,198,192,190,188,153,100,86,99,111,106,90,84,67,54,56,68,66,56,58,54,54,58,57,66,68,205,200,194,191,190,191,200,164,96,67,54,89,99,88,84,65,57,47,62,72,58,47,56,56,54,61,56,34,191,187,192,191,190,188,185,158,97,73,63,71,92,103,104,69,57,56,45,63,68,52,42,50,54,66,32,7,181,174,174,169,165,163,149,121,97,85,76,65,42,63,71,42,43,65,49,45,61,66,48,38,44,45,38,30,171,157,140,132,128,126,123,103,90,77,50,71,37,30,53,56,35,55,60,45,49,60,61,41,40,38,40,38,154,147,127,122,117,133,133,78,50,62,27,60,57,22,41,61,46,38,59,57,46,47,58,52,35,38,38,38,124,130,134,147,183,205,94,72,49,53,33,41,65,30,26,54,59,36,48,59,49,44,44,54,38,34,38,37,116,218,232,245,245,123,62,74,59,37,43,27,55,48,16,43,61,45,42,51,53,44,38,43,46,28,33,37,65,176,173,180,140,66,67,57,46,49,36,24,37,58,19,28,55,53,45,46,47,44,36,36,45,33,26,33,46,133,131,115,84,63,59,57,31,49,40,17,23,58,33,15,46,58,46,46,43,42,34,33,37,40,24,26
1,42,66,70,78,88,106,118,127,132,136,140,141,144,149,153,153,155,161,159,160,162,164,163,165,166,166,166,166,48,66,71,80,89,110,120,127,133,138,141,143,145,150,150,167,138,124,167,164,162,165,166,167,167,167,167,167,53,66,73,81,91,111,121,128,134,139,143,145,149,153,154,181,125,90,147,142,168,166,168,168,168,168,168,168,58,67,75,82,94,114,121,130,136,140,144,145,149,160,139,174,123,111,139,101,170,167,168,170,170,170,169,169,61,68,75,83,96,116,124,132,136,142,145,147,152,172,117,166,119,122,153,97,162,170,170,171,171,171,171,171,62,69,75,84,99,118,127,133,138,143,147,144,164,163,115,173,121,125,156,93,156,174,171,172,173,173,173,172,65,71,77,85,101,120,127,134,139,144,148,146,170,153,107,168,116,126,162,99,154,177,173,174,174,175,174,174,67,71,78,87,104,121,128,136,140,142,163,142,151,144,110,171,117,124,155,96,152,179,175,176,176,176,176,175,66,71,79,88,107,120,129,137,141,144,174,114,151,129,132,178,111,127,166,95,150,181,175,177,177,177,178,177,68,73,81,89,110,121,129,139,139,156,169,99,155,115,154,173,103,145,179,98,152,182,177,178,178,178,180,179,68,73,81,91,112,122,130,139,137,175,150,102,169,116,142,148,87,150,165,96,157,184,179,180,181,181,180,181,70,74,83,93,112,123,132,140,141,184,132,102,159,94,132,129,83,162,156,91,163,184,180,181,181,182,181,182,70,76,84,94,114,124,133,137,151,188,123,94,143,133,135,142,156,166,148,90,167,184,182,183,182,183,183,183,72,77,84,97,116,125,135,135,167,181,118,109,151,176,133,147,157,152,136,88,170,184,183,184,183,183,183,183,72,78,85,99,118,126,135,135,180,181,163,153,171,172,164,153,135,129,116,87,169,186,183,184,185,186,186,185,72,78,86,100,119,128,134,142,194,165,152,154,146,136,178,180,166,138,110,84,170,186,184,186,187,187,187,186,74,80,86,101,119,129,130,164,194,145,122,115,99,98,171,173,167,153,123,83,171,186,184,187,187,188,188,188,74,81,88,104,122,130,129,180,184,140,136,142,128,162,188,176,153,135,112,70,156,193,186,188,188,188,190,189,74,81,88,107,123,130,130,184,189,155,138,142,168,212,193,166,145,110,95,66,123,198,186,189,189,189,190,189,74,82,88,107,122,131,132,181,202,170,149,142,174,216,197,162,138,103,82,67,108,197,187,190,191,190,190,190,76,82,89,108,121,130,133,173,202,169,155,146,169,208,187,161,128,102,79,63,133,198,188,191,191,191,191,192,77,84,92,110,123,133,135,166,198,168,161,149,156,194,180,152,120,98,79,75,177,194,191,192,193,193,193,194,77,83,92,111,123,132,138,156,193,175,171,159,171,188,161,135,110,93,69,118,199,191,193,193,194,194,194,194,76,84,92,113,123,131,140,148,179,175,169,156,170,175,146,121,103,88,69,160,197,192,194,194,195,195,196,195,78,84,93,114,124,134,141,144,168,172,165,153,144,149,136,114,105,84,79,182,195,194,195,197,197,196,196,196,77,82,92,111,121,133,141,143,156,169,163,151,143,144,142,125,105,75,94,192,191,193,194,196,197,196,196,195,76,81,91,112,119,130,140,145,158,174,170,161,154,143,141,130,101,70,119,198,188,192,194,194,195,196,196,195,75,80,92,111,119,131,140,143,188,174,166,171,155,141,123,114,97,62,122,199,188,192,194,196,195,196,196,196
15,88,91,95,98,101,107,117,129,138,144,148,151,156,161,165,167,171,173,175,177,178,181,182,182,183,183,184,183,89,92,94,99,102,107,118,130,138,145,149,151,156,161,165,169,172,175,177,179,181,181,183,184,184,185,187,186,90,91,94,99,103,109,121,131,140,147,151,153,158,164,167,171,174,177,178,181,183,184,185,186,187,187,187,187,90,92,95,100,104,110,122,132,141,149,152,155,159,166,169,173,177,178,180,183,185,186,187,188,190,189,189,189,90,92,96,102,132,138,138,138,146,153,153,156,161,167,171,175,177,179,183,185,186,188,189,191,192,192,192,193,90,94,96,135,195,157,146,145,160,166,154,149,153,161,164,172,178,181,184,186,188,190,192,193,194,194,194,194,91,94,95,134,169,126,120,119,152,148,134,137,170,170,151,138,150,169,180,186,190,192,193,195,196,196,196,195,92,93,96,102,116,108,110,108,138,131,119,126,171,172,151,125,141,147,153,154,173,193,195,197,197,197,198,197,92,94,97,101,104,112,123,131,138,134,126,130,164,165,135,129,170,159,160,148,124,165,197,198,199,199,199,199,92,95,97,101,105,114,128,139,149,155,157,159,150,129,112,191,170,170,141,170,147,113,173,199,201,201,202,201,94,94,97,101,104,115,128,140,150,157,166,189,143,112,115,166,159,144,133,169,154,135,106,186,201,202,202,202,92,94,96,101,104,116,129,141,151,157,182,198,169,114,94,96,121,119,153,141,150,144,106,119,201,204,204,204,93,95,97,101,104,116,131,141,151,158,177,203,191,149,130,111,99,110,170,137,143,121,109,85,156,206,206,206,92,94,97,100,105,117,131,142,152,159,185,183,190,170,181,160,111,108,111,114,115,92,80,82,88,185,207,207,93,95,97,101,105,117,130,143,153,171,193,168,168,152,179,158,98,97,98,96,102,86,70,74,71,99,197,209,94,95,97,101,105,118,132,143,154,169,170,141,140,140,159,125,92,94,93,96,103,94,77,75,70,68,129,209,93,95,97,101,105,118,132,143,154,163,178,146,137,112,101,91,83,83,87,89,93,89,87,84,74,71,76,190,94,95,96,101,105,119,133,144,154,169,188,186,163,124,102,118,104,67,91,99,98,96,100,97,81,72,69,129,93,95,97,101,105,119,133,145,155,163,174,190,170,138,128,119,124,77,93,117,116,117,120,108,84,69,73,73,94,94,97,101,106,120,133,145,156,163,167,169,152,130,96,93,123,134,94,122,131,131,121,102,77,72,75,74,94,93,96,99,105,119,134,147,156,162,164,166,149,123,95,81,107,133,103,104,138,136,112,90,74,77,79,77,93,93,96,98,105,120,134,147,156,162,164,170,176,181,180,163,130,152,149,129,122,118,96,83,78,80,80,77,90,91,94,96,104,118,133,146,156,162,164,169,176,181,187,182,104,122,137,141,111,111,97,74,60,58,58,61,89,91,94,95,102,119,133,146,156,161,163,169,176,183,188,161,89,80,62,64,67,70,56,43,35,32,29,23,89,90,92,94,101,117,132,145,156,161,164,170,177,183,189,136,87,81,76,39,39,49,44,37,34,30,25,17,87,89,91,94,100,116,132,145,155,162,165,171,177,184,187,114,82,77,73,65,16,35,41,37,33,30,25,17,85,86,89,92,100,115,131,144,155,162,165,170,177,183,173,91,78,74,70,73,17,18,34,33,25,23,23,14,83,83,87,90,98,114,128,142,153,160,163,169,177,184,144,84,80,72,69,76,20,11,23,26,21,24,26,11
14,203,205,206,208,209,208,209,209,210,209,207,208,207,205,204,204,203,202,201,200,198,196,195,194,193,191,190,189,205,206,208,208,210,210,211,211,211,210,210,210,209,209,207,204,203,203,203,202,200,198,197,196,195,192,190,189,207,208,209,210,211,212,212,212,213,213,214,213,212,202,207,215,210,204,204,204,201,199,197,196,197,195,192,191,209,210,211,211,212,213,214,214,214,214,204,189,186,156,144,167,186,210,209,206,203,203,200,198,198,197,195,192,209,211,212,214,215,214,215,216,217,202,176,155,129,106,95,115,126,157,182,202,207,204,202,200,198,198,196,194,211,213,213,215,217,216,217,217,212,191,150,111,97,98,95,105,124,132,136,142,209,205,203,202,200,199,198,195,212,213,215,217,217,218,215,208,193,163,105,79,84,87,84,87,93,114,108,107,208,208,205,204,202,200,198,196,213,214,216,218,219,220,212,193,172,121,90,82,77,82,84,87,83,96,100,98,138,205,206,205,203,201,199,197,213,214,217,219,220,221,209,190,143,89,93,87,85,85,84,77,82,83,104,112,101,203,209,205,204,203,200,198,214,217,218,220,221,221,215,195,151,89,87,83,87,91,82,158,161,170,123,93,96,175,218,208,205,204,203,201,216,218,219,222,221,222,215,193,153,93,82,79,89,80,123,231,224,228,208,141,112,114,157,193,208,203,204,202,216,219,220,222,221,223,216,196,144,94,95,88,77,103,212,221,218,218,220,215,142,132,120,157,214,203,204,203,218,219,220,221,224,224,217,201,156,114,100,95,82,180,233,220,222,220,223,173,138,141,117,170,215,205,205,204,218,219,221,222,224,223,216,205,168,126,102,91,87,204,228,224,222,225,206,139,138,131,113,203,213,207,206,205,220,221,223,225,226,219,215,209,170,133,107,85,101,229,227,222,223,225,154,124,134,113,140,220,210,210,207,206,221,222,224,226,227,217,214,205,172,138,105,88,92,183,221,230,232,187,132,119,126,90,175,221,210,210,208,207,220,223,225,225,226,218,215,205,172,137,108,94,92,98,119,176,194,130,135,132,100,127,218,214,213,212,210,208,221,223,225,226,227,216,219,210,170,141,113,94,98,105,108,112,113,116,130,114,118,215,218,215,213,212,211,208,223,225,226,227,226,213,223,207,168,139,116,93,95,104,112,119,115,113,124,106,202,223,216,216,213,211,209,208,223,225,226,228,224,212,222,203,163,139,121,94,95,105,111,117,121,113,93,169,231,218,218,217,214,212,210,209,223,226,227,230,223,214,218,197,162,146,123,95,96,109,117,119,118,100,120,224,222,220,219,217,215,214,213,210,224,226,226,231,220,216,211,187,161,144,121,95,97,113,119,120,110,96,212,227,221,221,220,218,217,214,213,212,224,225,226,231,220,212,201,181,155,139,120,95,97,114,116,114,87,147,237,222,224,221,219,218,218,215,213,211,224,226,227,230,219,208,199,181,152,135,117,96,98,110,113,98,96,220,228,224,224,222,219,219,218,216,214,211,225,227,227,228,221,203,192,174,149,127,112,96,97,106,104,79,187,237,224,225,224,224,222,219,218,216,215,212,225,227,228,228,220,200,193,171,146,122,107,93,95,86,82,175,239,226,228,227,225,223,221,220,219,217,215,213,224,227,227,227,219,199,188,171,145,120,100,88,84,112,197,238,230,230,229,227,225,223,222,220,219,218,216,214,222,226,224,226,210,190,183,170,145,113,96,77,141,236,236,226,228,228,227,226,224,221,221,218,218,216,214,212
7,128,127,127,128,127,127,127,125,125,122,123,123,121,120,119,119,118,117,116,115,113,112,111,110,109,107,106,105,130,130,129,129,127,128,128,127,127,125,124,124,122,122,122,122,120,119,117,116,115,114,114,111,111,109,108,107,132,132,130,130,129,128,129,128,128,128,127,125,125,125,124,122,122,121,119,119,117,116,115,113,113,111,109,108,134,133,133,133,132,131,131,131,130,129,128,128,127,127,125,124,124,122,121,121,119,117,116,115,114,113,111,109,135,135,134,134,134,133,133,132,131,131,130,129,129,129,128,126,125,123,122,122,121,120,119,118,116,114,113,112,137,137,136,135,135,134,134,133,133,132,131,130,129,129,130,127,127,127,124,123,122,121,120,118,115,115,114,113,138,138,137,137,136,136,136,136,134,134,133,132,131,130,130,130,129,128,127,125,123,122,122,120,119,117,116,114,140,140,138,139,139,138,137,136,134,133,137,138,136,133,132,131,130,129,128,127,126,124,123,121,121,119,117,116,141,142,140,139,140,139,136,144,127,101,122,111,123,132,136,137,136,131,128,128,127,126,124,122,122,121,118,117,141,141,142,141,141,139,139,158,135,143,132,70,56,72,93,104,116,132,136,131,128,127,125,124,124,123,121,118,143,142,143,143,143,139,149,151,147,159,130,85,71,57,54,64,65,74,97,121,128,130,129,127,125,123,122,120,144,143,144,144,143,142,153,146,153,150,130,125,128,89,51,50,56,56,54,55,69,81,99,117,129,124,123,122,146,146,145,146,142,147,155,155,158,146,139,144,133,106,77,53,53,54,48,52,52,54,51,82,130,126,124,122,147,147,146,147,145,151,153,158,155,144,143,140,126,119,107,79,50,53,47,48,56,56,54,50,68,91,122,124,147,146,147,145,148,156,159,153,146,142,136,130,131,132,117,89,58,49,55,51,61,55,49,45,43,53,116,127,149,148,148,145,149,157,161,153,145,139,124,126,135,132,115,85,64,56,44,69,129,117,102,93,90,105,127,126,149,149,149,142,152,158,158,146,141,137,128,128,133,119,99,78,61,60,52,63,138,138,138,137,135,133,128,126,150,149,149,141,158,163,155,137,138,139,131,127,118,94,87,76,59,63,68,58,120,139,132,133,132,130,129,128,151,151,144,142,164,159,150,138,137,132,125,120,97,88,88,73,65,62,60,89,136,137,134,134,132,130,129,128,151,154,136,149,164,153,143,144,135,127,121,106,92,94,83,71,48,41,86,134,140,137,137,135,133,131,130,129,153,149,133,158,157,146,142,141,125,122,113,100,100,92,74,68,68,113,143,141,138,138,138,136,132,131,129,128,155,137,139,160,152,143,142,133,125,118,107,103,96,83,64,108,148,146,142,140,140,139,137,135,134,133,131,128,152,129,150,152,148,143,135,132,120,107,106,97,86,67,84,146,146,143,144,143,142,140,138,137,135,133,133,130,141,137,151,146,147,145,127,117,104,101,98,86,71,77,137,149,145,144,144,143,142,140,140,138,136,134,133,130,133,147,146,145,147,133,110,100,93,87,83,70,85,138,151,146,146,145,145,142,141,141,141,138,136,134,133,131,132,147,150,154,129,111,100,87,79,72,63,76,143,152,147,148,147,146,145,143,142,142,141,139,136,135,133,132,137,139,154,142,107,113,93,74,68,63,70,128,155,148,149,148,148,146,145,145,143,142,140,139,138,136,134,132,137,137,143,129,111,118,92,67,60,70,137,155,152,151,150,148,147,147,146,146,144,142,141,140,138,136,135,133
22,148,149,150,151,151,151,152,153,152,153,154,154,153,153,154,153,152,153,154,153,151,151,150,152,133,52,14,13,149,151,152,153,153,154,156,155,155,156,157,157,156,156,156,156,156,156,156,156,153,153,151,154,137,41,20,28,152,153,154,155,156,157,157,157,158,158,159,158,159,158,158,158,159,159,158,157,157,156,155,153,158,81,22,40,153,155,157,157,157,158,159,160,160,160,161,161,158,160,162,160,160,161,159,161,159,158,157,155,159,117,28,32,155,157,158,159,159,161,162,162,163,162,163,162,168,143,149,166,162,165,153,133,164,160,160,157,157,158,48,21,157,159,160,160,163,163,163,164,165,164,164,161,181,134,123,174,163,170,159,95,163,162,163,160,158,139,66,2,158,160,162,163,164,165,164,165,166,166,166,164,181,133,114,176,165,168,147,92,161,165,164,161,172,104,87,60,159,161,163,165,164,164,167,166,167,168,168,165,186,149,106,174,167,169,151,97,157,168,165,168,164,92,118,127,161,164,165,166,167,166,168,168,169,170,170,165,188,173,104,170,169,171,159,105,159,169,164,175,146,98,120,148,162,164,166,168,169,168,169,170,171,170,171,168,182,192,107,165,173,169,152,108,164,172,168,186,139,103,154,148,163,165,166,167,168,170,170,170,171,171,171,169,178,203,111,148,178,166,151,106,162,173,173,186,122,117,174,124,164,165,167,169,170,170,171,170,170,172,172,171,177,207,144,118,179,169,163,112,160,173,181,172,100,132,177,138,165,166,169,169,171,171,172,172,172,174,174,173,174,201,170,103,166,166,162,114,163,177,184,158,90,151,174,163,167,168,170,171,171,172,172,174,174,173,174,177,172,190,163,122,128,120,157,131,171,185,181,134,100,173,170,169,167,168,170,171,171,171,172,174,175,175,176,176,178,200,173,153,148,73,115,146,161,160,161,108,130,180,169,170,166,166,167,170,170,171,172,172,173,174,176,172,191,183,190,152,160,123,93,98,119,124,120,91,165,175,171,170,165,166,169,170,171,171,173,172,172,174,174,175,191,150,173,149,127,164,148,92,74,105,91,96,179,170,171,169,166,167,170,170,171,172,173,173,173,176,174,185,194,167,155,151,77,140,159,133,84,73,75,105,180,169,170,169,164,167,169,170,170,171,173,173,174,177,174,190,188,150,118,149,78,63,140,157,134,79,56,120,182,171,170,169,170,172,175,175,173,175,176,175,177,180,174,187,190,145,119,123,97,49,111,179,168,129,62,138,181,171,171,169,141,145,148,152,154,158,161,164,167,171,169,181,200,156,124,98,110,120,165,169,181,155,98,107,187,180,179,177,74,75,77,79,79,80,83,84,87,92,84,146,207,180,122,104,133,178,193,179,174,152,119,85,133,132,132,140,79,79,80,80,78,78,78,78,78,82,68,136,209,197,124,111,129,184,195,188,166,139,99,70,75,96,125,153,81,78,78,79,81,81,81,82,82,84,77,135,202,199,126,127,124,186,199,187,161,135,80,109,174,178,186,190,78,78,78,78,79,80,80,82,82,85,76,115,199,197,140,144,120,180,205,175,152,122,71,136,184,171,172,183,77,79,78,78,79,79,79,81,82,82,79,91,189,195,157,145,124,166,194,156,134,101,71,130,152,168,170,172,76,77,78,78,79,78,78,81,81,80,82,78,167,193,164,136,118,143,178,138,108,80,77,151,117,129,154,169,77,78,79,78,83,80,78,80,82,82,82,76,158,179,146,124,106,109,153,121,91,68,91,167,113,113,145,165
13,163,163,167,170,171,172,173,174,175,176,176,176,175,176,176,176,172,171,170,169,170,169,165,162,161,158,157,156,163,165,167,171,173,175,175,177,177,178,180,181,185,178,178,181,181,174,173,172,169,169,168,166,165,162,159,158,165,168,169,173,176,177,177,179,179,180,163,126,136,189,161,122,135,181,175,174,172,171,170,169,166,166,163,160,166,169,171,174,177,178,179,182,181,187,162,119,81,123,134,97,40,141,188,175,175,174,173,170,168,167,165,162,167,170,173,176,177,179,182,184,181,197,191,142,110,44,122,118,52,86,195,176,177,176,174,172,169,167,167,163,168,172,175,178,179,181,182,184,183,186,194,145,102,39,88,109,51,63,192,180,179,177,175,173,172,170,167,165,169,174,177,180,181,182,184,185,190,192,181,141,93,45,53,79,35,52,191,180,180,177,176,175,175,172,170,167,171,174,178,180,183,184,186,184,170,175,161,139,97,61,47,94,38,66,194,180,182,181,180,177,177,175,171,168,172,175,178,181,185,187,187,167,105,78,89,144,143,82,59,104,52,73,199,181,184,183,180,178,177,175,172,170,173,177,180,183,186,186,201,165,105,86,58,142,163,95,47,87,48,25,166,192,184,184,182,180,178,176,175,172,175,178,180,184,184,176,131,137,131,115,65,43,99,53,37,50,47,40,86,197,184,185,183,181,181,178,175,173,176,179,183,181,193,166,88,70,145,120,97,18,0,0,29,55,72,87,45,152,196,183,184,182,182,179,177,174,176,180,180,194,203,144,106,78,109,135,98,63,0,26,35,78,104,102,54,85,203,185,185,184,182,180,178,176,177,181,183,202,152,142,128,105,70,124,109,82,10,41,115,129,110,86,58,66,199,186,184,184,184,181,179,176,176,180,184,204,148,113,122,99,70,89,95,51,7,56,134,146,122,77,39,85,204,187,187,187,185,183,180,176,178,180,189,188,149,96,84,85,49,22,55,42,17,88,146,136,119,76,20,124,206,189,187,186,184,184,180,177,178,182,186,189,177,141,88,51,22,6,51,59,61,154,158,127,108,66,23,165,202,191,188,186,184,184,181,177,180,183,185,188,183,155,120,96,73,70,85,84,144,181,147,115,92,56,43,194,194,192,191,187,186,184,182,179,181,185,186,186,179,162,134,105,81,85,133,172,174,160,134,106,83,38,72,209,193,194,191,187,186,183,182,181,180,185,187,190,165,147,130,103,85,87,121,169,162,145,117,92,73,22,109,212,194,195,192,188,185,184,183,183,180,183,188,191,157,144,132,109,101,93,110,157,160,140,106,75,60,14,156,208,196,194,193,190,186,185,185,182,181,184,187,194,176,144,134,119,108,91,101,147,149,125,87,61,30,46,205,197,197,195,193,191,187,185,185,183,179,184,186,192,194,153,135,124,104,89,86,123,131,105,70,52,9,132,213,197,199,196,193,192,188,188,186,184,181,184,189,192,197,188,145,118,98,90,86,105,123,98,69,40,33,197,201,199,197,196,194,192,190,188,187,184,181,185,190,194,195,195,164,129,105,97,103,104,117,99,66,27,95,216,198,200,199,198,195,192,192,191,187,184,181,185,188,191,193,188,174,142,133,130,125,113,117,94,56,28,150,211,197,198,196,196,194,191,190,188,187,183,179,182,186,192,191,178,184,157,148,140,128,122,107,80,49,34,184,203,198,196,194,194,192,189,187,185,183,181,178,183,186,191,191,174,193,162,150,149,127,110,84,74,37,50,202,199,199,196,195,195,193,191,188,185,182,181
15,123,135,143,145,150,157,165,171,176,180,185,188,192,195,199,203,205,207,210,211,212,214,214,215,216,217,217,217,126,138,145,148,151,160,168,174,178,183,186,189,193,197,201,204,206,209,212,214,215,215,215,217,217,218,218,218,127,139,147,149,152,161,168,175,180,184,186,191,195,199,202,205,209,211,214,215,216,217,218,218,218,221,219,219,128,139,148,149,154,163,170,175,180,185,188,193,196,199,202,207,210,212,214,216,217,218,219,220,221,223,222,222,129,141,149,150,156,164,172,178,183,188,190,194,198,200,204,208,211,214,216,217,218,219,220,222,222,223,223,224,131,143,150,152,158,165,172,179,185,189,191,195,198,202,206,210,212,215,216,216,218,220,221,222,224,224,223,224,133,145,151,152,160,168,174,180,186,191,194,199,206,210,212,215,218,220,223,225,228,228,223,222,223,223,224,225,135,147,152,153,160,170,176,182,186,188,187,177,170,176,183,189,195,194,186,177,179,201,221,230,232,231,230,227,135,146,152,157,162,168,168,164,165,167,160,150,145,142,145,146,155,164,155,150,134,122,134,151,176,199,220,230,137,148,158,167,163,169,162,143,142,137,123,135,155,155,150,137,154,178,170,169,154,137,128,112,99,101,116,143,139,150,157,139,119,116,99,79,85,84,80,86,100,99,93,94,138,153,153,150,139,139,145,135,118,105,97,102,140,151,155,154,145,129,123,136,156,171,181,176,167,156,142,116,132,133,140,119,122,132,160,143,127,112,105,114,142,150,154,160,171,179,187,193,196,198,203,208,211,222,207,164,152,131,119,101,121,147,172,153,141,125,117,127,142,150,155,159,166,174,180,185,191,194,199,203,207,204,174,182,146,82,93,60,133,187,177,155,153,140,131,132,142,150,154,158,166,175,180,186,191,194,198,202,206,192,175,154,137,54,59,42,156,200,181,152,153,143,133,125,143,151,153,158,166,174,182,186,191,195,199,205,198,190,188,136,81,48,60,31,150,205,176,149,135,126,120,108,144,152,154,160,168,176,183,187,190,194,199,204,202,171,190,165,77,50,58,39,155,190,171,141,113,106,93,90,144,152,156,160,169,177,182,187,191,195,199,204,212,197,183,186,131,72,111,164,170,165,166,126,99,91,81,89,143,152,155,160,168,176,182,187,193,196,201,205,207,216,196,186,169,159,165,156,147,136,111,81,74,67,73,78,144,151,154,160,169,176,183,186,191,196,200,204,208,215,198,171,177,157,115,119,105,83,87,139,132,133,154,179,144,152,154,162,171,177,185,191,197,202,206,209,212,190,151,139,146,128,96,83,67,53,58,197,248,238,242,240,115,120,124,128,133,137,145,149,152,159,165,168,187,175,141,117,96,94,75,56,57,51,55,112,240,225,232,234,100,102,101,104,107,105,104,103,105,105,108,104,135,155,103,78,68,87,101,80,77,105,94,108,141,142,147,152,108,110,112,114,115,116,115,116,118,121,121,120,124,119,90,97,111,121,123,122,120,122,123,119,116,116,115,115,107,108,110,111,113,113,114,115,116,118,118,120,120,117,124,131,127,123,121,122,123,122,121,123,125,125,126,125,108,111,112,113,114,114,115,116,115,116,116,117,120,119,121,123,124,127,123,122,121,121,124,125,124,125,126,127,109,110,113,115,115,116,116,118,118,118,118,119,121,121,120,120,120,124,123,121,121,122,124,125,125,126,126,128,108,109,112,114,115,116,116,117,118,119,119,120,120,121,122,121,120,122,122,123,122,122,123,124,124,124,126,126
1,112,114,116,118,119,120,121,121,120,121,122,123,123,123,122,123,123,123,125,123,123,124,124,123,122,122,122,122,116,117,119,121,122,122,122,124,124,124,125,125,125,125,127,126,128,125,116,126,126,126,126,126,125,124,125,124,119,120,122,125,124,125,125,126,126,128,129,128,128,131,110,120,139,134,75,123,131,128,128,128,128,127,126,125,121,123,126,127,127,128,129,129,129,129,130,128,135,147,83,107,146,124,68,126,127,131,131,130,129,129,127,127,124,126,130,130,131,131,132,132,133,133,133,131,146,142,77,116,148,108,75,134,103,101,138,131,132,131,130,130,128,129,133,133,135,135,134,134,135,136,132,106,141,129,77,128,148,95,83,142,107,74,140,134,134,133,132,132,129,132,135,135,137,137,138,138,137,147,131,85,122,120,82,137,154,99,98,150,108,74,140,137,137,136,135,135,132,135,136,137,137,141,142,141,139,154,122,82,119,118,91,140,145,95,108,154,100,78,143,139,138,138,137,137,135,137,138,140,141,144,142,142,141,154,111,86,114,103,85,128,132,86,119,157,99,84,148,141,141,141,140,138,137,139,141,142,143,145,146,143,143,159,113,94,109,105,71,135,130,83,135,153,98,92,153,144,144,143,143,142,139,141,142,144,145,146,147,147,147,159,104,86,111,119,73,146,134,89,145,142,92,102,154,146,148,147,145,145,141,143,144,146,147,148,148,147,151,163,121,81,99,108,67,138,115,93,155,147,89,115,156,147,149,148,147,147,143,145,147,148,149,150,150,148,152,163,116,72,97,94,69,123,96,105,157,140,86,129,157,151,151,149,149,148,144,146,148,150,152,152,153,150,156,164,125,99,118,140,131,140,139,101,120,137,81,140,157,153,153,152,151,150,145,147,149,151,153,153,154,152,163,164,130,108,86,116,149,146,148,123,82,107,82,151,157,155,154,153,153,153,147,149,151,152,153,155,155,153,169,152,119,95,75,71,95,108,155,154,103,58,82,160,156,157,156,155,154,153,148,150,153,154,155,156,156,156,174,153,119,88,80,85,90,110,160,170,139,62,94,167,156,157,157,156,155,155,150,153,154,156,157,158,157,159,175,152,114,92,92,94,119,146,139,163,146,84,103,169,158,159,158,158,158,158,152,154,155,156,157,159,158,162,174,148,117,91,100,99,141,164,149,133,120,91,79,163,160,160,159,158,159,158,153,155,156,157,157,158,159,166,172,150,121,102,105,115,162,166,146,127,97,74,83,166,161,161,162,161,160,160,154,155,157,158,159,161,161,166,172,150,121,111,100,129,172,169,137,115,88,59,97,171,162,163,162,162,162,161,156,157,158,160,160,161,162,164,169,148,126,118,102,127,172,164,128,106,80,57,127,172,164,164,164,164,163,162,156,157,159,161,162,163,162,163,164,149,132,126,105,122,171,146,119,94,70,77,166,167,165,164,165,164,164,164,156,158,160,161,161,162,164,164,162,151,134,129,103,127,163,136,115,84,59,115,175,166,167,166,165,166,167,165,157,159,161,163,163,163,166,165,168,153,136,126,96,129,147,124,105,75,62,151,173,167,168,166,166,167,167,165,157,159,162,164,164,165,164,163,171,157,143,119,100,128,123,108,95,63,87,173,169,169,169,169,168,168,168,167,158,159,160,163,164,166,160,166,170,169,151,121,109,126,114,105,86,61,136,175,170,170,170,171,170,169,169,168,156,159,160,161,162,162,159,167,164,159,147,121,117,115,107,95,66,97,175,170,171,170,171,171,170,169,169,168
7,240,240,240,240,240,240,240,240,240,239,239,237,236,235,234,233,232,231,230,228,224,223,223,219,218,216,214,211,242,242,242,242,242,243,243,242,241,241,241,240,239,238,237,235,234,232,232,230,228,226,225,222,221,218,217,213,243,242,244,244,244,244,245,246,244,243,244,242,242,241,240,237,236,235,234,232,230,228,225,225,224,221,219,217,245,244,246,247,247,246,246,247,246,246,244,244,244,242,241,239,239,237,235,235,235,234,231,231,228,224,222,219,247,247,248,248,248,248,248,248,248,249,246,244,244,243,243,244,245,243,241,234,228,218,211,210,217,228,224,222,249,249,250,249,249,249,248,248,248,251,252,251,252,248,243,228,209,197,185,192,176,152,182,214,179,217,229,223,251,250,250,251,250,250,252,255,255,247,239,228,210,193,177,175,155,144,161,153,148,143,164,179,156,225,231,224,251,252,252,252,252,255,247,222,197,182,171,175,172,167,165,159,145,128,134,120,124,117,97,123,169,191,220,230,254,253,253,254,255,240,208,185,154,156,168,161,162,156,153,134,131,139,127,123,130,121,120,114,101,116,148,226,252,251,255,254,228,208,208,187,145,134,129,124,129,137,149,159,166,167,132,108,134,121,108,100,84,112,116,215,252,255,247,214,202,208,202,186,168,150,147,154,168,176,172,172,159,149,117,89,95,83,81,89,93,111,167,232,255,247,209,199,204,203,193,193,188,174,172,164,167,161,146,138,122,106,89,99,136,168,193,211,226,233,238,232,249,209,201,203,205,197,202,199,179,137,113,121,125,110,100,134,149,171,200,232,252,254,250,246,243,238,234,233,213,208,208,208,204,204,199,177,152,95,87,95,81,75,64,142,255,255,255,254,247,243,242,241,241,239,235,234,208,214,211,207,206,195,169,162,135,98,84,68,65,66,68,41,161,255,247,249,248,246,244,243,241,239,235,234,211,212,208,211,200,177,165,157,150,153,128,75,66,71,59,71,205,255,248,248,246,245,241,240,238,235,238,237,204,209,216,211,188,164,154,149,160,172,127,72,68,62,73,204,255,250,250,249,248,245,241,242,245,246,224,142,206,213,212,191,156,140,140,136,143,133,87,63,61,39,140,255,249,253,250,249,246,250,254,241,209,156,100,73,207,206,186,158,147,146,145,130,122,107,87,69,68,45,134,255,249,255,255,255,255,222,168,124,86,69,65,72,199,180,158,157,155,151,140,111,94,105,110,81,57,100,247,255,255,236,224,222,182,107,77,64,70,69,70,70,171,157,158,152,136,117,98,91,102,122,107,65,84,210,224,200,151,94,88,82,73,69,83,69,54,62,68,72,160,160,146,121,107,103,101,105,104,94,71,93,120,112,99,96,58,55,70,54,69,59,60,67,41,52,62,70,161,153,130,120,120,117,105,92,82,79,118,133,105,90,85,81,74,40,64,51,54,52,52,53,36,44,56,66,145,120,107,106,103,97,86,84,103,132,135,104,85,78,70,62,62,43,44,54,44,48,48,44,30,39,56,63,96,72,84,90,97,101,110,129,142,130,83,77,73,67,56,61,55,49,30,48,39,42,47,36,32,42,54,61,59,102,136,139,146,142,138,138,130,98,70,55,64,65,51,55,49,50,25,36,42,39,47,33,33,44,50,58,77,141,143,139,146,137,134,130,106,63,59,51,50,61,43,47,38,44,29,27,40,38,46,29,37,44,51,56,94,142,142,138,139,138,130,112,75,41,60,54,38,57,37,44,31,41,38,20,37,40,43,31,42,43,52,52
1,177,178,179,180,179,181,183,182,183,184,184,181,171,177,181,182,181,180,180,180,179,178,178,176,174,174,173,172,180,181,181,182,183,184,185,185,185,187,188,183,153,135,181,182,185,184,184,184,182,181,181,180,180,179,177,175,182,184,184,185,186,187,187,188,188,179,173,189,160,101,123,139,184,189,187,187,186,185,184,183,181,181,180,179,185,186,187,187,189,190,191,191,191,170,121,179,168,97,102,121,148,192,189,189,188,187,186,186,184,182,182,181,187,189,190,190,191,192,194,194,193,180,122,156,170,103,107,136,105,190,192,192,191,190,189,187,187,186,185,185,188,191,192,194,194,194,195,195,193,191,132,130,174,119,121,146,97,179,195,194,193,192,193,192,190,188,188,188,192,193,193,194,195,196,196,189,184,196,144,113,163,119,129,159,109,162,197,196,196,195,195,194,193,192,191,189,194,195,195,196,197,199,198,172,134,196,153,98,155,119,120,159,117,150,200,199,199,197,196,196,195,195,193,191,195,196,197,198,199,201,200,180,117,181,154,95,160,134,98,165,132,140,201,200,200,199,198,198,197,197,196,195,196,198,200,200,201,202,201,182,118,168,170,108,139,140,101,162,150,131,203,202,201,200,199,200,200,199,197,197,198,200,201,201,202,203,203,188,122,156,179,113,105,133,128,155,134,117,195,200,203,202,202,201,202,201,200,200,199,202,203,203,205,204,204,191,132,127,174,110,107,127,132,145,115,105,114,142,205,204,203,202,202,201,200,201,202,203,205,205,207,207,203,198,144,108,160,124,132,127,132,143,133,113,92,99,189,206,205,204,203,201,201,202,202,204,205,206,208,208,205,198,159,133,147,125,133,129,147,165,136,100,123,124,145,207,206,206,205,203,202,202,204,206,207,208,209,209,209,204,174,144,138,117,131,135,156,160,148,147,177,156,120,198,207,207,206,206,205,204,204,207,209,209,210,210,210,209,181,144,124,116,129,136,162,173,170,167,156,160,119,154,209,207,207,206,206,206,206,207,209,209,211,211,210,212,191,149,115,118,131,140,178,181,195,194,165,136,98,100,208,209,208,207,206,207,207,209,210,211,212,214,212,212,209,166,122,122,133,155,177,188,193,188,162,132,90,87,204,211,211,208,207,208,207,209,211,213,212,214,214,210,218,189,145,120,137,163,181,199,200,186,163,137,91,110,210,212,212,210,209,209,209,210,213,215,215,216,217,207,221,209,171,132,135,157,188,208,203,189,173,134,87,146,215,213,213,213,212,210,209,211,214,215,217,217,217,208,219,217,189,150,141,154,190,212,206,198,171,122,83,181,215,214,214,213,212,210,211,213,214,216,216,216,217,212,208,212,201,162,149,154,187,203,211,195,155,108,91,206,216,215,215,215,214,211,211,214,215,216,216,216,218,217,195,203,202,171,151,150,176,195,195,169,128,92,120,218,219,216,216,215,215,213,210,213,213,215,216,216,217,218,200,189,190,174,157,150,158,171,162,130,96,83,178,218,218,216,216,215,215,214,210,213,214,215,216,217,217,217,214,182,182,174,161,155,139,140,141,111,81,132,214,218,218,216,216,215,215,212,211,214,214,215,216,217,218,219,219,194,189,172,156,151,129,127,126,96,80,194,219,218,217,216,216,215,214,212,212,214,214,215,216,217,218,219,219,198,190,164,149,149,134,126,110,85,104,215,219,218,218,217,217,216,216,213,212,213,215,216,216,217,217,219,221,197,200,186,168,165,144,132,101,79,125,218,220,220,220,218,217,216,216,214
24,71,82,93,101,109,112,113,118,124,127,130,134,136,137,141,143,144,145,147,148,148,149,148,148,148,148,147,146,71,84,95,103,110,113,114,119,126,130,132,136,138,140,142,143,145,147,149,149,150,151,150,150,150,150,149,150,72,84,96,105,111,115,116,122,127,131,134,138,140,143,145,145,147,148,150,151,151,152,152,151,150,151,151,151,74,86,97,107,113,113,120,124,129,132,136,139,142,145,146,148,149,151,152,152,152,154,154,153,152,152,152,151,74,87,98,108,113,141,113,121,132,134,137,140,143,146,148,149,151,152,153,155,155,156,155,155,155,154,154,154,74,88,99,108,118,156,90,99,138,135,139,142,145,147,149,151,153,153,155,156,157,157,156,156,156,156,157,156,76,88,100,109,117,136,85,77,136,137,141,144,146,151,152,153,155,160,159,158,159,157,159,158,157,157,157,157,76,90,102,111,114,137,97,61,125,143,142,148,148,148,151,162,163,133,150,163,159,160,160,160,160,159,158,158,77,91,102,113,117,127,116,70,95,145,141,133,155,153,106,146,176,125,87,155,164,162,161,162,161,161,161,160,78,92,104,113,120,122,140,90,65,134,161,116,155,169,93,122,168,121,69,100,171,163,163,162,162,163,162,161,78,93,104,114,122,122,135,111,84,135,187,138,170,176,103,154,153,88,65,70,157,167,164,163,163,164,164,163,80,93,105,116,123,125,131,149,109,137,201,142,163,173,98,162,144,69,55,61,126,175,163,166,166,166,162,154,81,95,106,116,123,126,128,144,131,157,193,135,145,173,100,168,151,66,56,67,91,177,166,168,167,161,152,135,82,96,107,117,124,127,127,144,187,162,175,146,130,163,103,181,153,54,52,67,59,156,176,165,166,166,139,99,83,96,108,118,125,129,128,152,175,139,147,135,97,143,106,190,124,39,60,76,66,102,164,158,170,149,99,71,84,98,110,120,126,130,131,149,192,159,138,124,87,130,108,81,45,58,70,90,112,123,143,149,137,92,71,141,85,99,111,121,126,129,132,146,195,173,138,121,128,131,149,81,87,141,136,144,141,135,128,118,81,85,161,178,85,99,112,121,128,130,133,143,189,178,155,130,124,131,159,162,185,178,167,154,137,116,101,76,82,171,178,172,86,100,112,121,128,129,134,143,187,179,152,130,140,174,190,195,180,167,155,142,118,95,69,73,166,180,174,175,86,101,113,121,128,130,135,140,182,182,158,145,151,177,194,193,178,159,143,121,95,63,78,163,182,175,177,175,88,102,112,122,129,130,136,139,170,185,166,154,145,174,193,187,172,148,125,101,61,101,177,181,177,179,178,177,88,102,113,123,130,132,137,141,161,184,167,145,133,169,176,165,156,135,110,63,108,187,182,179,180,180,179,178,87,102,112,123,130,130,136,141,156,176,149,129,133,168,160,143,128,107,63,103,187,180,179,181,181,180,179,178,87,102,112,122,128,130,134,141,152,170,148,142,146,168,154,126,106,67,70,179,182,179,179,179,179,179,179,178,87,101,113,123,129,130,135,142,152,188,171,160,154,164,146,111,95,55,128,185,177,179,181,181,180,180,180,179,86,101,113,123,129,129,135,144,151,195,185,165,148,159,132,103,85,62,156,183,180,181,182,182,181,181,181,181,86,101,112,123,129,130,136,143,148,179,170,152,146,159,126,112,69,65,168,182,180,181,181,181,181,181,181,181,84,99,112,122,128,130,136,141,152,174,155,134,141,151,124,105,54,67,175,182,181,181,182,182,182,182,182,181
13,163,164,167,171,173,177,179,181,184,185,186,188,189,189,190,190,189,192,194,191,192,191,191,192,192,192,193,192,163,166,170,172,174,178,180,183,186,186,188,190,190,190,191,190,190,188,185,195,192,193,193,193,194,194,195,195,165,168,172,174,176,179,182,184,187,187,189,192,192,190,194,192,196,172,123,135,200,195,195,194,194,194,196,196,167,170,173,176,178,181,183,185,188,188,190,192,191,193,193,202,212,174,119,84,202,190,199,199,195,196,197,198,169,171,174,177,180,183,186,188,189,189,192,191,197,172,142,162,208,168,116,80,139,126,127,175,204,199,199,199,170,172,174,179,182,185,187,189,191,192,193,200,225,170,127,115,198,160,120,58,123,142,86,95,207,199,201,199,170,173,176,180,183,186,188,190,193,193,191,190,210,195,147,122,189,151,99,80,182,157,93,70,185,206,200,201,172,174,178,181,185,187,190,192,192,193,194,141,109,160,161,109,184,176,85,125,196,144,95,71,188,207,202,204,173,176,180,181,185,188,191,193,193,209,193,147,107,102,159,97,202,191,99,144,188,137,90,76,199,206,205,205,174,177,181,185,188,190,192,192,206,193,194,165,125,88,144,110,120,139,71,142,214,155,79,86,210,206,207,207,175,179,183,186,188,191,192,197,204,159,188,168,123,77,119,133,45,21,65,154,190,130,55,110,217,204,208,209,175,179,183,186,188,191,193,203,204,163,157,163,123,70,99,130,74,6,81,170,148,98,61,158,220,205,208,208,176,179,182,186,190,193,196,209,198,162,139,173,116,77,86,116,79,57,133,169,166,155,118,114,216,209,209,209,178,180,183,187,190,193,194,214,200,168,130,163,113,77,77,136,97,123,207,170,149,134,115,76,177,219,208,210,179,180,183,187,191,193,195,214,196,165,126,145,124,91,80,167,128,170,199,181,151,117,98,77,184,220,209,210,179,181,185,188,192,195,199,214,198,176,153,126,122,110,60,156,178,208,193,169,143,108,88,89,207,214,212,212,180,183,186,189,192,194,200,216,200,180,164,140,108,92,106,200,207,211,189,160,132,102,81,106,219,214,216,215,179,183,186,188,191,194,199,212,199,181,167,162,131,122,139,201,207,205,174,144,118,96,75,153,223,213,215,214,178,182,185,189,192,194,196,205,200,187,174,168,141,123,122,193,211,191,156,128,108,86,96,210,214,213,214,214,179,182,186,189,193,195,197,198,197,190,174,171,150,126,129,186,206,175,146,118,100,73,142,222,211,213,213,213,180,183,186,190,193,195,197,199,200,193,175,169,153,129,133,173,187,156,134,109,93,75,183,216,213,214,214,215,182,185,187,191,193,194,197,200,202,192,173,165,147,122,135,167,155,139,119,100,83,110,216,211,215,214,215,215,182,184,186,190,193,195,197,199,202,181,164,153,128,115,142,153,132,129,106,94,76,177,219,212,215,215,215,216,181,183,187,189,194,197,193,198,203,171,162,142,124,127,148,148,130,120,104,80,130,217,212,214,215,215,216,216,185,189,191,194,198,203,192,208,204,175,169,143,130,143,157,134,125,102,90,88,196,217,212,213,214,214,215,215,145,151,158,165,169,169,178,212,206,182,180,144,138,155,145,122,111,92,70,148,224,216,218,220,222,223,222,221,93,96,97,98,101,91,143,208,188,181,180,147,141,151,138,110,94,82,76,119,140,142,148,147,151,159,161,172,105,106,105,103,106,91,153,206,176,166,162,141,134,148,136,96,89,77,81,99,99,100,99,108,127,142,143,156
24,179,181,182,183,184,184,185,186,185,185,186,185,185,184,184,183,181,180,178,178,178,175,174,173,169,168,168,166,180,184,184,185,186,187,186,187,188,188,188,186,186,185,184,185,184,182,181,180,179,177,175,174,172,170,169,168,182,184,186,187,188,188,189,189,190,190,190,189,188,186,186,186,185,184,183,181,179,178,177,175,173,172,171,170,184,185,187,192,189,190,191,191,191,192,192,191,190,189,189,187,186,185,184,183,180,180,180,178,176,174,173,172,183,191,183,163,193,192,193,194,193,194,194,193,193,191,192,190,188,187,186,185,184,182,180,179,179,177,174,173,184,196,172,118,162,200,194,196,195,195,196,195,195,194,193,192,191,189,187,187,186,185,183,181,180,178,176,175,187,192,165,128,116,194,196,197,197,197,196,196,196,195,194,193,193,191,189,188,187,187,185,183,181,180,178,176,188,193,186,145,102,162,205,196,199,198,201,202,196,196,196,193,193,195,195,190,190,187,186,184,182,181,181,183,189,192,196,166,113,120,202,199,200,200,185,186,203,199,198,200,198,184,180,196,191,189,188,186,185,179,158,146,191,193,197,188,147,106,164,209,200,189,152,123,178,188,149,149,183,159,121,159,198,189,188,189,180,161,128,125,192,194,196,200,171,118,111,201,202,177,167,143,121,153,132,99,125,156,119,96,185,195,190,181,169,143,114,175,193,194,196,201,187,136,108,161,209,170,182,163,126,119,137,108,128,156,122,92,177,200,182,158,157,113,132,190,193,195,197,200,200,173,139,124,191,156,173,175,140,106,134,119,136,159,121,101,191,199,147,139,141,95,163,190,194,197,199,200,203,198,150,125,152,153,144,179,149,118,110,109,131,158,114,121,209,175,126,143,122,112,189,185,196,198,200,202,203,205,173,164,153,142,127,156,158,121,95,91,103,124,98,106,201,138,128,144,103,163,195,185,197,199,202,203,205,206,202,183,153,124,108,110,157,137,117,84,76,94,85,81,120,121,137,126,110,193,189,187,198,201,203,204,205,205,208,183,137,122,115,104,137,166,152,97,61,94,103,122,128,134,140,106,145,200,188,187,198,200,204,206,206,207,209,188,166,149,118,108,131,163,141,103,90,116,145,150,147,131,123,96,179,197,192,190,198,201,204,205,206,209,208,201,184,154,119,112,127,155,140,146,141,139,151,148,142,123,90,122,201,193,193,192,200,203,205,205,207,211,209,198,193,166,139,120,109,148,180,177,172,160,154,145,135,105,93,189,197,194,194,193,200,202,206,206,208,210,211,197,193,172,150,122,114,142,186,184,180,166,152,139,126,82,159,207,194,195,194,192,200,203,206,206,210,211,213,198,182,169,157,129,125,150,181,176,169,157,143,132,100,115,206,197,198,197,194,193,202,204,206,207,210,211,213,202,175,174,164,140,130,151,169,167,164,146,129,114,87,183,204,199,199,198,195,194,203,205,206,208,210,211,211,213,190,173,163,146,123,138,158,157,153,132,117,83,148,210,199,201,198,197,196,194,202,205,206,208,211,212,211,214,206,183,164,143,119,125,143,141,133,117,86,133,211,203,202,200,199,197,196,195,201,204,207,209,212,212,212,214,209,182,160,136,126,127,137,134,120,91,105,214,206,204,203,201,199,199,196,194,202,205,207,210,211,212,213,212,208,186,163,151,145,140,140,135,110,79,170,215,205,205,203,202,200,199,196,194,200,204,206,208,209,211,214,207,203,194,179,161,143,147,143,125,95,101,207,207,206,204,203,201,200,198,196,193
11,166,169,171,174,177,177,179,180,181,181,180,180,181,180,179,178,177,175,174,174,172,171,170,169,167,166,165,163,168,171,173,176,178,179,181,182,183,183,182,182,182,182,182,180,179,178,176,175,174,174,173,172,169,168,166,165,170,174,175,178,181,182,183,184,185,185,185,183,184,183,182,181,181,181,178,177,177,176,173,173,171,170,167,166,172,175,177,179,182,183,185,186,185,187,186,187,186,185,184,183,177,180,183,180,178,177,176,174,173,172,170,168,173,177,179,181,183,186,188,188,187,188,187,187,188,188,185,191,176,124,179,181,179,179,179,176,176,174,171,169,175,179,180,182,185,187,188,188,188,189,189,189,189,188,185,197,184,100,156,189,180,181,181,179,178,175,173,172,176,180,183,184,187,188,189,191,190,190,190,191,190,189,187,197,178,107,149,192,181,181,182,181,178,177,175,174,178,181,184,187,187,189,192,193,194,193,192,192,192,192,186,203,189,116,148,194,184,182,181,181,180,177,176,174,179,182,185,188,189,192,194,194,194,194,194,192,193,195,188,210,198,124,139,196,185,184,183,182,181,178,177,176,182,184,186,188,191,193,194,195,195,195,195,194,193,194,190,211,183,113,138,197,184,185,185,184,182,181,178,177,182,186,187,190,193,194,195,195,196,195,196,195,197,200,196,211,176,107,143,198,186,187,186,186,184,182,180,178,184,187,190,193,195,196,196,196,197,198,202,202,187,153,176,217,173,112,152,198,187,189,188,186,185,183,182,179,187,188,191,195,196,197,198,203,206,193,163,178,175,121,110,190,149,101,163,199,189,189,189,188,187,184,182,180,187,190,192,195,198,198,199,167,175,187,130,87,158,144,85,93,100,85,184,197,192,191,189,188,188,186,182,181,188,192,194,195,198,203,203,154,98,173,145,83,158,142,83,72,77,104,202,193,193,193,193,192,191,190,185,182,189,193,195,199,197,215,209,181,96,152,154,84,147,124,81,74,73,115,205,194,195,193,188,183,173,170,184,187,192,194,196,199,207,227,213,177,99,114,136,75,130,119,77,65,62,109,208,194,195,189,178,170,147,132,130,163,193,196,198,198,218,210,191,175,105,81,121,77,151,132,87,58,67,115,209,189,199,197,162,131,105,99,82,100,194,196,200,199,222,224,196,164,88,100,139,81,187,175,102,66,85,110,184,192,193,147,86,75,117,142,135,151,195,197,201,200,226,228,199,145,107,127,199,109,179,174,82,80,122,133,171,185,148,81,86,174,203,199,197,192,195,198,202,200,228,224,184,160,153,114,224,128,85,137,113,136,138,131,149,132,80,99,195,202,193,191,189,187,194,198,201,200,225,220,197,176,144,130,171,119,130,178,171,150,129,113,112,76,90,201,201,195,195,193,191,188,196,200,203,202,219,220,206,183,166,182,191,197,176,163,153,137,125,99,74,82,189,206,198,198,197,195,193,190,197,200,204,203,213,216,201,180,154,154,172,178,164,159,137,129,117,67,99,191,207,201,201,200,199,195,193,192,196,201,201,208,212,209,194,157,133,152,166,160,154,140,130,119,73,113,208,210,202,202,201,200,199,195,194,193,195,204,106,74,189,196,178,150,153,162,160,150,137,121,94,75,135,213,207,204,203,201,201,200,198,195,193,191,206,152,58,49,101,177,188,184,175,152,150,131,104,67,99,189,216,207,206,206,203,202,201,200,198,196,193,191,196,89,59,68,57,89,155,167,156,140,129,110,75,73,206,219,207,208,207,206,204,202,201,200,198,195,194,192
6,157,157,158,159,160,160,161,161,161,162,163,163,161,161,159,159,159,160,159,158,157,157,156,154,153,154,152,151,157,159,159,161,161,162,163,163,163,163,164,164,163,164,161,160,160,160,159,160,158,158,158,157,154,154,155,154,159,162,162,163,163,164,164,164,164,164,164,164,164,164,162,161,162,161,160,160,159,159,159,158,157,156,155,154,159,162,164,163,164,165,164,164,166,165,166,165,164,164,164,163,164,162,161,161,159,160,159,160,158,155,156,154,161,163,165,164,165,167,167,168,168,168,167,167,166,166,164,164,163,164,164,163,163,162,161,154,153,163,155,154,162,164,164,165,166,167,168,168,169,169,167,167,167,167,166,166,167,167,165,161,158,149,146,125,159,188,139,146,164,165,165,167,170,169,169,169,169,169,170,171,169,167,164,160,152,144,147,152,148,139,140,126,142,156,115,148,166,166,167,169,171,173,172,171,170,170,165,164,164,158,145,136,115,122,130,147,137,125,104,92,88,105,139,161,166,168,169,171,172,174,174,173,172,165,138,135,123,132,146,137,128,102,111,108,90,76,79,100,126,153,163,159,168,170,170,172,173,175,175,172,167,157,145,145,114,71,99,98,83,63,72,80,105,127,156,169,168,165,161,160,170,172,172,176,176,175,172,154,157,159,162,149,100,57,42,41,45,73,119,160,173,173,167,165,165,164,163,162,173,174,175,177,173,167,162,154,148,153,160,133,83,54,45,50,128,160,177,174,171,169,169,168,167,165,164,163,174,174,174,171,166,161,157,151,141,149,148,140,122,68,47,49,156,182,169,173,173,172,172,170,167,165,165,166,174,172,171,167,162,153,151,149,144,146,150,154,136,81,50,45,59,177,174,174,173,172,172,170,170,167,167,166,169,171,174,166,157,151,152,151,147,148,150,147,133,90,49,52,38,112,188,174,175,174,172,171,171,170,169,168,180,182,175,165,157,152,150,152,149,144,148,149,145,116,56,45,49,50,167,181,176,175,174,172,171,171,170,168,187,184,169,161,162,153,150,149,152,153,156,156,147,112,62,46,44,39,163,183,176,177,176,174,173,172,171,170,182,173,164,166,160,152,149,148,148,141,139,136,121,95,67,52,35,102,191,176,178,177,176,176,174,173,172,170,185,169,160,162,150,148,153,146,141,129,122,119,106,85,72,62,35,100,194,178,180,178,177,177,176,177,174,172,188,178,157,145,145,150,153,149,139,129,120,120,108,79,71,72,54,43,171,186,181,179,178,177,176,177,175,172,171,173,148,132,136,144,144,142,131,118,102,97,78,64,65,78,56,42,171,187,183,181,179,177,177,177,176,174,65,118,124,113,122,133,132,122,108,94,82,70,36,47,67,73,49,128,192,184,184,183,180,179,178,179,177,176,24,35,75,92,103,116,110,96,77,63,54,49,41,57,69,77,148,193,185,185,185,183,182,180,179,179,178,177,28,27,24,34,48,68,79,71,81,106,131,102,82,86,124,173,194,186,187,185,185,184,183,181,181,180,178,177,22,24,23,1,0,8,14,21,171,200,198,196,188,190,195,192,189,189,188,186,185,186,185,183,182,181,178,177,19,17,27,17,0,3,0,73,201,190,191,191,191,191,189,189,189,188,187,189,186,185,185,184,182,181,179,178,16,14,22,22,0,0,0,158,201,189,193,192,191,191,190,190,189,188,188,187,186,185,184,183,182,180,179,178,13,11,23,23,0,0,55,202,189,192,192,192,192,192,192,191,190,189,189,188,187,186,185,184,183,182,180,178
4,155,162,169,171,175,180,183,185,188,190,193,196,198,201,204,205,205,205,208,211,211,212,214,214,214,215,215,216,156,162,169,173,175,179,183,186,189,191,192,196,199,204,202,202,207,210,209,208,214,213,215,216,216,216,216,217,157,164,169,174,178,181,184,187,189,192,194,198,196,203,207,208,203,195,208,213,210,218,217,216,218,217,217,217,159,166,170,175,179,183,186,188,191,192,190,204,216,195,186,232,207,150,128,189,171,162,218,219,218,219,219,220,159,167,171,175,180,184,189,187,191,213,188,176,206,203,138,191,197,144,90,132,164,113,158,229,217,221,221,221,159,166,171,175,181,186,190,184,215,246,217,181,139,149,130,157,194,131,85,165,166,117,107,227,222,222,223,223,160,168,173,176,181,186,188,188,242,207,220,172,130,96,104,172,214,125,139,189,140,91,89,219,224,222,224,224,163,168,174,177,182,187,182,205,229,172,213,140,103,101,97,140,183,177,201,174,147,78,106,226,222,224,225,225,163,169,174,179,184,189,181,223,223,183,201,142,96,119,138,142,178,199,176,183,176,133,131,237,223,226,228,227,160,169,175,180,183,188,186,238,212,191,182,159,77,145,211,184,182,174,155,209,191,175,146,214,230,226,230,230,162,170,177,180,185,186,199,234,184,156,143,120,68,95,171,160,159,121,132,218,210,201,163,142,228,230,230,230,162,170,177,181,188,181,221,234,186,158,137,105,80,71,84,102,103,118,167,195,213,204,183,133,161,239,229,232,163,171,177,182,189,185,245,227,191,173,146,120,96,84,86,96,149,221,215,198,193,173,172,159,113,210,238,231,164,173,177,184,185,196,255,225,206,179,141,120,103,95,143,205,236,235,209,193,175,147,148,151,112,193,243,231,166,173,178,184,181,217,255,230,205,169,144,138,109,144,220,237,235,233,207,183,162,135,125,127,122,226,235,234,167,173,181,186,182,235,255,229,195,170,165,148,138,205,222,226,232,221,198,172,150,127,120,106,181,243,232,234,167,173,179,187,180,242,255,221,201,195,183,159,185,214,222,226,220,207,183,159,140,123,107,130,234,232,237,237,168,174,180,188,182,247,255,230,217,207,187,177,207,216,226,220,201,189,166,147,132,117,101,204,242,232,238,239,169,175,181,187,182,238,255,240,226,207,186,173,199,215,214,206,187,174,155,135,126,100,151,245,234,235,240,240,169,176,182,187,183,225,255,237,225,207,181,163,188,201,199,190,172,161,143,126,111,111,224,241,236,236,239,239,170,177,183,188,187,212,253,225,206,193,173,172,187,199,197,183,160,147,131,116,98,199,243,237,239,240,239,240,171,177,184,190,189,209,242,205,198,188,179,188,179,187,188,173,154,137,124,95,168,243,237,238,239,241,241,241,171,177,182,191,188,206,238,203,208,198,207,203,174,172,180,162,140,131,102,133,238,234,239,239,240,241,241,241,173,178,184,190,190,218,238,220,211,207,202,191,168,154,168,152,131,121,99,212,239,237,241,241,241,242,242,242,173,179,185,184,223,243,211,205,219,212,192,175,160,145,153,141,130,98,147,244,234,239,239,240,241,242,242,242,173,179,180,202,247,233,238,164,173,213,181,165,155,136,136,132,126,87,169,247,234,239,241,241,241,242,242,244,174,181,184,239,236,232,238,235,146,149,168,161,144,118,130,124,119,88,177,247,235,239,241,243,243,243,244,245,176,173,216,247,226,236,235,234,236,136,122,151,132,116,125,117,115,86,184,246,237,240,240,243,244,244,245,245
11,100,104,109,115,119,121,125,128,131,133,134,138,147,126,138,137,137,137,137,137,137,136,135,136,119,139,148,152,103,108,114,120,122,126,130,133,136,137,136,142,161,97,136,142,139,139,138,137,137,136,136,132,132,152,153,158,107,111,119,125,128,132,136,139,140,142,142,147,180,92,121,149,142,142,141,141,140,139,137,134,151,108,150,161,110,115,123,129,133,136,140,143,146,148,147,154,183,89,110,156,147,147,146,145,145,143,142,140,141,145,163,158,113,119,128,134,138,141,146,150,152,154,153,161,177,84,113,161,151,152,151,150,149,148,147,144,143,148,125,153,116,122,132,139,143,147,151,155,157,159,158,169,182,87,119,167,156,158,157,156,155,153,150,148,148,140,125,156,119,125,136,143,148,152,156,159,162,166,161,187,175,73,132,171,162,163,163,161,160,157,155,153,151,149,147,161,122,129,141,147,152,156,160,164,167,171,166,201,175,71,149,175,168,167,168,166,164,163,160,157,156,153,151,169,125,133,145,151,156,160,165,169,171,172,175,182,118,76,155,178,172,171,171,171,170,168,166,163,161,158,155,171,128,136,147,154,160,165,169,172,175,172,203,177,88,71,161,181,175,175,175,175,174,172,170,168,164,162,159,172,131,138,151,158,163,167,172,174,180,180,127,145,119,80,169,183,179,178,179,178,177,175,173,172,168,167,162,171,133,142,154,161,166,171,173,182,215,177,82,81,133,88,161,189,182,182,182,180,180,178,177,173,177,150,89,182,135,145,156,164,168,171,182,146,147,158,117,78,123,91,141,194,183,185,185,184,182,182,182,178,185,105,50,112,137,147,159,165,168,187,200,138,80,102,144,89,95,96,114,196,185,188,188,187,182,172,160,158,151,70,61,52,138,150,161,166,189,194,167,162,132,81,116,98,78,109,86,187,192,191,185,178,178,161,142,141,119,71,60,59,140,152,160,190,195,138,101,137,158,95,77,88,68,131,107,160,198,184,184,183,182,157,133,115,93,62,54,56,142,153,164,199,174,121,90,73,144,99,70,92,56,123,139,94,153,187,193,175,142,111,75,49,48,49,46,54,142,154,164,190,154,103,78,54,118,109,74,104,60,87,130,101,156,183,166,121,84,62,41,44,44,42,48,44,143,156,162,181,151,107,86,68,86,115,83,117,85,132,141,122,148,143,104,60,41,56,52,36,40,42,51,24,142,155,161,184,167,124,97,79,76,94,106,131,125,171,139,105,116,83,40,49,39,41,54,46,31,34,34,32,144,157,164,188,172,132,112,86,87,96,147,185,187,161,121,100,75,48,34,38,48,36,42,50,39,32,31,32,145,158,165,187,177,147,120,92,100,104,170,192,172,142,107,84,28,34,51,29,43,46,34,39,45,32,30,31,139,149,157,181,176,153,124,103,109,108,164,180,151,119,97,72,28,19,48,42,31,44,41,32,37,39,25,31,100,102,97,138,175,159,130,117,113,111,146,168,143,110,87,52,43,13,36,48,37,35,41,34,29,38,28,23,100,101,98,110,166,162,136,127,116,105,135,152,132,101,57,27,53,18,21,45,42,38,35,35,26,30,34,21,102,102,103,105,164,160,141,130,116,95,120,122,104,72,29,21,50,33,10,36,46,37,35,33,28,26,28,28,102,103,104,104,165,168,145,129,113,97,103,103,73,27,31,25,41,46,13,22,45,39,32,34,31,27,24,24,101,102,105,96,154,167,132,116,107,99,100,91,57,24,11,30,34,50,28,12,35,41,31,32,32,26,25,21
20,82,86,91,101,124,143,151,157,169,176,182,187,192,201,191,204,208,204,205,205,205,205,205,204,203,203,201,199,82,87,92,103,128,149,156,163,176,183,188,194,196,234,163,159,200,210,212,210,210,210,210,209,207,207,207,205,83,89,94,107,133,152,160,169,182,190,196,203,203,252,176,161,165,169,227,215,216,215,214,215,213,211,212,211,85,90,94,112,137,155,162,173,187,195,201,209,209,255,178,167,209,116,219,225,222,221,220,220,218,217,217,215,85,91,94,113,139,158,165,177,192,200,207,213,215,254,175,146,230,108,182,239,226,228,228,225,224,223,222,220,86,91,94,117,142,161,169,180,194,203,210,218,220,254,205,130,222,136,150,245,232,234,232,231,229,229,227,226,86,92,96,121,146,163,171,183,198,207,213,220,221,255,213,124,221,175,130,242,240,239,237,236,236,235,233,231,88,92,98,123,146,165,173,186,201,210,218,225,226,255,199,118,212,183,117,235,247,243,242,241,240,239,238,236,89,92,99,124,149,168,175,188,203,213,221,229,230,255,216,120,213,214,119,226,253,246,247,246,245,244,242,241,89,92,100,126,151,170,177,191,206,216,223,229,233,255,209,116,199,230,129,213,255,249,250,249,249,249,248,244,90,93,102,128,154,172,178,195,210,218,229,228,198,240,159,100,191,224,126,197,255,253,254,253,253,252,247,246,90,92,103,131,157,173,182,198,213,220,238,255,234,229,198,101,168,216,120,179,255,255,255,254,254,255,255,255,89,90,104,134,160,176,183,200,213,218,239,255,255,188,196,171,132,142,106,165,255,255,255,255,255,241,189,115,91,91,105,136,162,178,185,200,226,211,206,215,255,202,122,160,179,125,80,131,255,255,230,175,128,85,52,55,88,91,108,138,163,179,187,200,253,255,226,145,191,252,145,88,155,173,113,92,191,125,72,52,51,65,71,66,86,87,107,139,164,178,188,204,242,244,255,189,122,231,238,107,115,184,179,114,58,48,51,58,57,48,68,63,84,86,107,139,165,178,187,207,231,156,168,210,179,184,241,140,113,170,194,162,89,49,52,41,64,48,51,64,83,86,108,140,167,180,190,208,244,205,141,126,193,178,125,115,106,118,180,179,131,71,57,40,45,59,45,53,78,80,106,141,169,182,193,211,250,216,138,116,127,140,133,154,162,149,180,174,149,95,39,63,37,47,47,48,116,117,124,138,155,164,174,182,232,205,155,149,152,165,186,211,243,247,208,142,137,95,15,55,56,37,45,41,122,124,123,119,123,125,130,118,182,249,205,159,157,192,215,253,255,248,200,138,115,82,8,33,62,49,45,36,124,126,129,132,131,132,135,129,156,255,221,180,159,203,216,255,255,241,194,139,111,80,16,16,51,53,51,41,126,128,129,131,131,134,137,134,139,247,243,213,160,210,214,254,255,220,181,141,111,80,34,7,37,53,51,47,126,127,127,128,129,131,134,138,129,222,251,226,168,209,210,227,250,220,176,139,110,69,48,10,18,51,49,46,125,125,127,128,129,131,132,136,128,178,247,229,184,214,190,197,228,231,177,133,110,52,53,25,4,41,50,40,125,126,127,127,129,130,131,134,135,135,219,243,205,214,183,169,212,218,166,120,101,39,51,43,6,19,50,34,125,126,127,127,128,130,131,132,135,130,160,238,218,205,183,148,177,189,149,122,78,5,46,54,25,4,37,44,124,124,126,127,128,129,130,130,132,136,129,215,230,199,175,152,146,167,148,128,41,0,28,56,38,12,16,42
3,110,124,132,135,141,149,152,157,161,165,168,170,172,174,176,174,179,168,177,177,178,179,179,178,178,178,179,179,111,125,134,135,144,153,154,159,162,166,171,174,175,176,178,176,209,136,150,185,178,179,179,178,177,177,178,179,114,127,135,137,147,155,159,163,166,169,174,177,179,181,183,180,224,145,109,190,184,183,183,179,180,178,179,178,117,129,135,140,148,158,163,167,170,174,178,182,186,186,187,181,232,160,90,196,177,183,186,184,184,182,182,180,121,132,138,144,153,161,166,171,175,180,186,186,188,193,193,200,205,140,87,222,148,156,197,187,187,186,186,186,125,137,143,146,156,165,168,174,179,187,184,191,202,174,212,254,209,195,142,202,173,108,204,192,192,191,191,190,129,139,145,153,162,169,174,177,178,175,211,247,241,175,120,155,213,230,185,118,175,102,150,209,196,195,196,194,133,144,150,158,166,173,175,214,210,174,216,189,207,220,184,55,107,166,100,80,145,145,100,165,209,200,201,199,138,149,153,161,172,173,209,214,184,193,158,96,89,197,212,99,108,114,76,153,160,159,113,118,217,205,206,204,141,152,157,165,176,184,227,151,85,153,86,77,47,68,113,72,88,64,55,188,203,201,130,120,220,209,211,210,144,154,160,167,179,190,233,171,98,164,132,122,84,97,80,56,63,66,63,193,237,221,140,124,225,212,214,214,148,156,162,172,184,188,238,192,134,178,200,172,138,121,104,98,87,80,67,170,240,221,140,130,229,215,218,217,152,161,165,176,189,191,235,220,186,165,164,123,126,136,135,145,112,128,118,162,238,213,126,128,232,219,222,221,155,163,168,179,192,196,242,222,169,146,142,125,134,146,166,161,174,199,226,224,206,177,113,123,236,223,226,225,158,167,171,183,195,199,246,222,164,133,128,137,144,162,184,195,225,232,240,225,175,129,110,118,237,227,228,228,161,170,175,187,198,201,244,237,189,147,129,152,152,171,211,219,231,240,237,204,151,112,91,138,245,231,233,233,165,172,179,189,202,203,239,255,210,171,136,134,152,190,223,227,243,249,232,187,135,103,76,210,243,236,236,235,168,174,180,192,205,207,231,255,229,197,160,134,153,186,220,238,255,248,214,166,130,75,133,254,237,240,239,237,170,176,184,196,206,211,225,255,247,213,180,156,156,173,212,244,253,239,197,147,112,71,208,249,239,242,241,238,174,178,187,199,208,217,223,255,255,232,193,182,175,171,206,242,243,221,176,132,86,104,252,242,241,241,246,251,176,181,191,201,212,220,221,241,252,248,216,198,187,168,217,226,233,195,149,115,65,175,255,242,253,255,238,195,179,185,193,204,215,222,226,225,245,249,230,210,194,165,207,218,204,167,124,87,83,248,255,249,214,146,78,40,181,187,196,208,217,225,230,222,231,241,231,217,195,165,163,203,177,140,110,63,178,255,170,100,51,32,31,29,185,189,200,210,219,226,231,232,223,241,233,217,196,167,146,176,169,129,92,103,212,98,36,27,33,28,31,22,189,192,202,212,221,229,231,236,223,245,228,207,190,158,143,156,151,120,83,104,85,39,50,20,18,40,23,15,191,194,203,214,223,230,233,237,229,242,207,184,181,156,148,143,132,119,85,40,23,37,60,23,0,30,37,8,187,193,203,215,223,228,233,238,222,245,223,198,201,179,154,143,124,119,72,43,25,7,50,40,0,9,42,26,188,194,206,216,225,230,233,244,214,241,245,221,225,185,159,143,119,116,64,37,39,0,19,51,9,0,23,38
15,127,131,135,135,111,101,102,103,91,61,104,109,52,13,48,67,71,75,80,85,91,104,114,119,126,130,134,137,128,132,135,134,110,104,104,106,87,66,107,110,44,17,52,67,71,76,80,86,92,105,114,119,126,131,134,138,129,133,137,133,110,107,106,108,79,74,110,106,35,21,56,67,72,76,81,87,93,107,115,119,126,131,135,139,131,134,137,131,110,106,107,110,73,82,112,103,26,23,58,67,72,77,81,87,95,107,114,120,127,131,136,140,133,136,138,132,127,119,112,107,76,90,111,96,19,26,61,68,72,76,82,88,96,109,115,122,128,132,137,140,132,137,139,133,125,123,120,116,108,107,109,95,55,52,69,72,74,77,82,87,97,111,116,123,129,133,137,140,134,138,141,127,109,103,94,103,108,109,113,117,113,106,103,99,95,91,88,88,98,112,117,124,130,133,138,141,135,139,141,125,111,105,88,85,88,88,97,118,115,113,111,113,121,121,106,94,92,97,115,124,130,134,139,142,136,140,141,123,115,114,113,96,68,87,84,98,102,101,98,105,124,135,125,106,96,76,92,123,131,135,138,142,137,140,141,121,115,115,118,94,70,115,112,67,71,91,88,110,131,136,129,119,112,87,74,110,131,136,139,143,139,142,142,120,116,116,120,88,74,119,120,42,21,63,93,137,133,137,139,136,128,106,82,82,125,137,140,143,139,142,141,120,119,118,123,90,86,119,116,33,20,70,108,143,115,135,145,150,143,116,88,72,95,136,141,143,140,143,139,121,121,126,119,106,108,109,102,44,71,119,117,97,101,138,146,152,143,116,94,78,70,116,142,144,142,145,137,121,125,128,112,115,127,124,104,85,99,105,96,72,94,151,140,129,129,117,102,84,69,82,136,145,142,145,135,121,125,117,94,104,125,126,103,92,101,100,100,104,116,120,105,105,116,115,100,83,73,64,106,145,143,146,134,124,127,124,103,88,114,113,94,96,104,104,109,117,118,101,83,87,101,102,92,81,74,65,71,126,144,146,133,127,128,128,117,73,112,93,78,88,96,100,108,117,110,91,78,79,87,89,89,87,79,71,63,79,144,146,133,129,129,130,111,76,122,79,57,64,80,86,98,108,105,90,79,80,84,84,89,91,83,77,68,60,145,146,132,131,130,132,108,94,93,64,49,42,86,96,80,93,95,87,84,86,86,86,89,89,83,78,72,64,145,145,131,132,130,133,125,87,62,55,41,25,121,131,80,87,91,87,90,95,96,93,91,87,83,80,74,68,145,145,132,134,131,137,117,68,53,70,34,15,96,133,99,91,110,109,113,114,106,97,91,84,82,83,79,71,147,143,131,135,134,135,87,61,82,115,33,17,62,104,112,83,90,114,115,112,105,94,87,81,81,83,83,77,148,142,131,137,136,139,76,96,134,123,27,21,63,74,87,73,65,94,109,101,96,89,84,83,84,86,85,82,148,143,134,140,140,141,73,119,145,120,21,24,65,73,72,73,76,91,116,101,90,85,83,85,90,90,84,81,148,140,137,142,143,140,70,125,148,113,15,27,68,72,72,75,79,82,109,127,106,83,80,79,85,91,90,84,146,139,139,143,143,135,71,132,148,102,12,30,69,71,71,74,78,82,89,124,140,114,92,80,82,92,99,90,146,140,143,145,145,129,75,138,151,91,11,36,70,70,70,73,78,81,88,105,136,116,102,107,106,110,105,97,148,143,145,146,147,122,77,141,151,81,10,39,71,69,70,73,77,81,88,100,111,108,117,124,119,120,118,113
15,137,146,152,154,157,163,169,174,177,181,184,186,189,192,195,198,199,201,203,205,205,207,207,208,208,209,209,209,139,148,154,156,159,165,171,176,179,183,185,188,191,193,196,199,201,203,205,206,207,207,207,209,209,210,210,209,140,149,155,157,159,166,172,177,181,184,185,189,192,195,197,200,203,204,206,207,208,209,209,209,210,212,211,210,140,149,156,157,161,167,173,177,181,184,187,191,193,195,197,201,203,205,207,208,208,210,210,211,211,213,213,212,141,150,157,158,163,169,175,179,183,187,188,191,194,196,199,202,204,206,208,209,210,211,211,212,213,213,214,214,143,152,158,159,163,169,174,180,184,187,189,192,194,197,201,203,205,207,208,208,210,211,212,213,214,214,214,214,145,154,158,159,165,171,176,181,185,189,191,195,200,204,205,208,210,211,213,215,218,218,213,213,213,213,214,215,146,155,159,160,165,173,178,182,185,187,186,178,173,177,183,188,192,191,185,179,180,196,212,219,220,220,219,216,146,155,159,163,167,171,171,169,169,171,165,158,154,152,154,155,162,168,161,158,146,136,145,159,178,195,211,219,148,156,164,171,168,172,166,152,152,147,137,146,161,161,158,148,161,179,173,172,161,148,141,129,119,120,131,153,149,158,163,149,134,132,119,103,108,107,104,109,120,119,114,115,149,160,160,158,149,149,154,146,133,123,117,121,150,158,162,161,154,141,137,147,162,174,181,177,171,162,151,132,144,145,150,134,136,144,165,152,140,129,123,130,151,158,161,165,173,180,186,191,193,195,198,202,204,213,201,168,159,143,134,120,135,155,174,160,151,139,133,140,151,158,161,165,170,176,181,185,189,191,195,198,201,199,176,182,155,105,114,88,145,186,178,161,160,150,143,144,151,158,160,164,170,176,181,185,189,191,194,197,201,189,177,160,148,84,88,75,162,196,181,159,160,152,144,139,152,158,160,164,170,176,182,185,189,192,195,199,194,188,187,147,105,79,89,67,158,200,177,157,146,140,135,125,153,159,161,165,171,177,183,186,188,191,195,199,198,173,188,169,102,81,87,73,162,188,173,150,129,124,114,112,153,159,162,165,172,178,182,186,189,192,195,199,205,193,183,185,143,98,128,169,173,169,170,139,118,112,105,111,152,159,162,165,172,178,182,186,190,193,196,200,201,208,193,185,172,164,169,162,156,147,127,105,100,94,99,103,153,158,160,165,172,178,183,185,189,193,196,199,202,207,194,173,178,163,131,134,123,106,110,149,144,145,161,180,153,159,161,167,174,179,184,189,194,198,200,203,205,188,159,149,154,141,116,106,94,83,88,194,233,225,228,226,131,135,138,141,145,148,154,157,159,164,169,171,186,176,151,132,116,115,100,86,86,82,85,129,226,215,220,222,120,121,120,122,125,123,122,122,124,124,126,122,146,161,122,102,95,110,120,104,102,123,115,126,151,151,155,159,126,127,128,130,131,132,131,131,133,135,136,135,137,134,112,117,128,136,137,136,135,136,137,134,132,132,131,131,125,126,127,128,130,129,130,131,131,133,133,135,135,132,138,143,140,137,135,136,137,137,136,137,138,138,139,139,126,128,128,129,130,130,131,131,131,132,132,132,134,134,135,137,138,140,137,136,135,136,138,138,138,139,139,140,126,127,130,131,131,132,132,133,133,133,133,134,135,135,135,134,134,137,137,136,136,136,137,138,138,139,139,141,125,126,129,130,131,132,132,133,133,134,134,135,135,136,136,135,135,136,136,137,137,136,137,138,137,137,139,139
1,111,90,76,68,71,64,15,69,93,108,121,129,138,144,147,149,155,159,161,163,167,169,171,173,175,176,177,177,114,87,80,67,79,55,21,76,97,107,138,144,106,142,151,155,157,161,163,166,169,171,173,175,178,179,179,179,114,86,87,67,87,46,27,80,98,113,147,166,87,116,142,132,162,163,166,169,171,173,177,179,181,181,182,182,114,86,90,67,93,37,37,79,123,155,108,167,108,110,152,87,146,168,168,170,172,176,179,182,182,182,183,183,114,88,93,68,97,29,45,80,134,165,99,163,125,111,168,93,112,175,169,173,176,180,181,183,184,185,185,185,110,89,93,70,99,21,53,84,131,174,107,153,146,108,170,121,93,171,172,175,180,181,183,185,186,187,186,187,108,93,92,75,98,18,60,83,129,180,105,156,176,119,151,141,87,156,177,178,180,182,185,186,188,188,188,189,105,98,91,81,90,15,69,111,121,187,124,150,183,121,151,171,97,132,183,178,181,184,187,188,189,189,190,190,103,102,87,88,84,9,104,162,108,190,143,133,175,125,148,182,115,110,183,178,182,185,188,190,191,191,191,192,101,104,84,96,75,11,116,156,102,181,147,120,173,133,130,175,128,102,180,181,184,186,189,191,192,192,193,193,101,107,80,103,64,17,114,159,96,170,155,108,179,149,118,179,140,98,175,184,185,188,191,191,192,193,195,195,102,111,77,109,52,22,112,172,98,168,170,99,165,163,112,184,150,95,165,187,186,189,191,192,193,195,196,196,104,112,77,116,42,30,108,189,113,145,182,103,123,165,90,157,158,91,154,191,186,190,192,193,194,195,197,197,109,114,78,119,32,38,97,177,114,119,183,107,110,159,107,157,161,92,132,194,186,190,192,193,194,196,197,196,112,111,80,118,24,48,88,169,137,104,163,141,141,144,158,166,128,90,108,192,186,190,192,194,195,195,196,195,115,109,85,114,17,55,83,172,151,100,155,163,136,122,147,160,112,76,89,182,190,190,193,194,196,196,196,196,117,106,90,111,13,60,82,166,143,150,155,156,161,144,181,190,127,73,63,164,193,189,193,195,196,198,198,198,123,104,97,104,11,66,82,167,167,169,137,142,152,151,179,175,134,96,57,137,198,189,194,196,197,198,198,198,128,101,108,101,11,68,85,180,179,148,126,119,131,140,146,154,157,126,73,100,196,192,196,197,197,198,198,199,134,99,116,92,11,70,82,170,172,133,111,125,133,150,177,173,175,156,109,80,182,193,193,194,196,196,197,198,136,95,124,79,14,69,74,149,170,128,111,129,135,157,192,190,181,173,132,88,175,191,190,190,193,194,194,192,136,91,132,66,13,68,74,117,173,139,118,118,143,158,189,200,176,161,123,94,178,187,188,190,192,192,199,224,135,90,137,55,27,71,76,92,160,148,127,116,140,157,187,196,172,148,110,83,176,188,188,191,194,189,200,236,134,93,131,105,85,101,107,106,143,163,141,122,128,151,180,189,166,142,104,81,161,168,170,172,171,174,163,166,132,93,133,113,56,63,65,64,80,157,147,137,126,140,174,178,152,134,99,76,89,90,94,89,117,168,166,158,128,97,137,107,60,67,69,72,67,104,154,143,136,132,154,164,141,123,92,77,90,91,87,92,164,171,163,153,124,98,138,104,60,67,68,69,72,68,126,151,143,129,126,142,127,107,85,81,87,89,82,135,182,168,160,151,117,94,139,98,57,64,66,67,71,66,90,152,136,119,113,117,111,99,76,81,86,84,89,171,175,164,154,148
22,176,178,179,180,180,180,181,182,181,182,183,183,182,182,182,182,181,182,183,182,180,180,179,179,155,76,34,31,178,179,181,181,182,183,184,184,184,185,186,186,185,185,185,185,185,185,185,184,182,182,181,181,160,70,40,45,180,182,183,184,185,186,186,186,187,187,188,187,187,187,187,187,188,188,187,187,186,185,184,183,178,105,46,55,182,184,185,186,186,187,188,189,189,189,190,190,189,188,190,189,189,190,188,188,188,187,186,185,184,140,55,49,184,186,187,188,188,190,191,192,192,192,192,192,195,173,178,193,192,193,183,163,190,190,189,187,187,174,73,41,186,188,189,190,192,192,193,193,194,194,193,193,204,166,156,197,195,198,184,131,187,192,192,190,187,160,90,32,187,189,191,192,193,194,194,194,196,195,195,196,206,164,146,199,197,196,174,125,185,194,194,192,194,133,112,84,188,191,192,194,194,194,196,196,197,197,198,197,212,178,140,198,198,197,177,129,183,196,195,197,187,122,142,148,190,193,194,196,197,196,198,198,199,200,199,198,215,199,139,195,200,199,183,137,186,198,196,203,174,126,150,175,192,193,195,198,199,198,199,200,200,200,200,200,213,216,143,191,202,198,179,140,190,200,200,211,168,134,177,176,193,194,196,197,198,199,200,200,201,201,201,201,210,225,149,176,204,196,178,139,189,202,204,209,154,148,194,158,194,195,197,199,200,200,201,200,201,202,202,202,209,231,176,151,203,199,187,145,188,202,211,196,134,161,199,170,195,196,198,199,201,201,202,202,203,204,204,204,207,228,195,139,190,191,187,148,191,207,213,183,125,178,201,192,196,198,200,201,201,202,202,204,205,204,205,206,205,220,194,152,159,149,177,163,198,212,206,163,133,196,201,199,197,198,199,201,201,201,202,204,205,205,206,207,210,226,206,179,170,112,141,168,187,188,184,140,160,204,201,200,195,196,197,200,200,201,202,203,203,204,205,205,220,214,217,183,183,149,125,127,144,150,146,123,189,204,201,200,195,196,199,200,201,202,203,203,203,204,205,207,218,187,200,178,157,183,170,122,104,124,118,126,201,202,201,199,195,197,200,201,201,202,203,203,204,206,206,215,222,196,182,173,114,161,181,157,113,98,100,134,203,201,200,199,195,197,200,201,201,202,203,204,205,207,206,220,217,181,150,167,107,96,162,183,158,106,87,146,205,203,201,200,197,199,202,202,202,203,205,205,206,209,206,218,218,177,148,145,119,86,142,201,194,151,97,160,206,204,202,201,166,170,173,177,179,183,186,188,191,195,195,210,226,187,152,126,135,148,189,200,208,178,128,137,205,206,204,203,102,103,105,107,108,109,112,112,115,118,118,176,231,208,153,132,157,203,220,211,203,178,142,114,157,161,164,171,101,101,102,102,101,101,102,102,102,103,100,165,234,224,155,141,157,213,226,218,196,166,125,99,110,130,157,182,103,101,101,102,103,103,103,104,105,104,105,162,229,226,159,155,154,215,229,217,190,158,111,136,191,202,209,216,101,100,100,100,102,102,103,104,105,106,104,143,224,225,173,169,152,209,231,206,180,145,103,159,206,203,204,213,100,101,100,100,101,102,102,104,105,104,103,121,213,223,188,171,154,195,219,187,160,125,101,157,179,194,199,202,99,100,100,101,102,101,101,104,104,103,104,108,193,218,192,163,148,171,201,167,134,106,105,171,148,159,182,197,99,100,101,101,105,102,101,103,104,104,104,106,184,205,177,151,135,139,177,149,116,96,117,185,143,143,172,194
1,72,98,102,111,121,141,154,164,170,173,177,179,182,188,192,192,194,200,199,199,202,203,203,205,206,206,206,206,78,98,103,112,123,145,156,164,170,175,179,181,184,189,189,207,176,160,207,204,202,205,206,206,207,207,207,206,84,98,105,114,125,147,157,165,172,176,181,183,188,192,193,222,162,123,185,180,208,206,208,208,208,208,208,208,89,99,107,115,128,149,158,167,173,178,182,184,188,199,177,214,159,146,177,136,210,207,208,210,210,210,209,209,92,100,108,116,130,152,161,169,174,179,183,185,191,212,152,206,155,158,192,131,202,210,210,211,211,211,211,211,94,101,108,117,133,154,163,170,176,181,185,182,203,203,151,214,157,161,195,127,195,215,211,213,214,213,213,212,96,103,109,118,136,156,163,171,177,182,187,184,211,192,143,208,152,163,202,133,193,218,213,215,214,215,215,215,98,103,111,121,139,157,165,173,178,180,202,180,189,182,145,211,153,160,194,130,191,220,215,217,216,217,217,216,98,104,112,121,142,156,166,175,179,182,215,149,189,166,169,219,147,164,206,129,189,222,216,218,218,218,218,218,100,106,114,122,145,157,166,177,177,196,209,133,194,151,193,213,138,183,220,132,191,223,218,219,219,219,221,220,100,105,114,125,148,159,167,177,175,215,189,137,209,152,180,186,121,189,205,130,196,225,220,221,222,222,222,222,102,107,116,127,148,160,169,177,179,226,169,137,199,128,169,166,116,202,195,125,202,225,221,222,222,223,222,223,102,109,117,129,150,160,171,175,189,230,159,128,181,170,172,180,196,205,187,123,207,225,223,225,223,224,224,224,104,110,118,131,152,161,172,172,207,222,154,145,189,216,170,186,196,190,173,122,211,226,224,226,224,224,224,224,104,110,119,134,154,163,173,172,221,222,202,192,211,212,204,192,173,166,151,120,209,227,224,225,227,227,227,227,104,111,119,135,155,164,172,180,236,205,190,193,184,174,219,221,206,175,145,117,210,228,225,227,228,228,228,228,106,113,120,136,155,166,167,204,236,184,158,151,134,132,211,213,207,191,160,117,211,228,225,228,228,229,230,229,107,114,121,139,158,167,166,221,226,177,173,180,165,202,229,217,192,173,148,103,195,235,227,230,230,230,231,230,107,114,122,142,159,167,167,225,231,194,175,180,208,255,235,206,183,145,129,98,159,240,228,231,231,231,232,231,107,115,122,142,158,168,170,222,245,210,187,180,214,255,239,201,175,138,115,99,143,240,228,232,232,232,232,232,108,115,123,143,157,167,171,214,245,209,194,184,209,251,229,200,165,136,112,94,170,241,229,233,233,233,233,234,109,117,126,146,159,170,173,205,241,208,201,188,195,236,221,190,156,133,111,107,218,237,233,234,235,235,235,236,109,117,126,146,160,169,175,195,235,215,212,199,211,230,201,172,145,127,101,154,241,233,235,235,237,236,236,236,109,118,126,149,159,169,178,186,220,216,209,195,210,215,184,158,138,122,100,200,239,234,236,236,237,238,238,238,110,117,127,149,161,172,179,183,208,212,205,191,182,188,173,150,140,117,112,223,237,236,238,239,239,239,239,239,109,115,125,147,157,170,178,181,195,209,202,190,181,182,179,162,140,108,128,234,233,235,236,238,239,238,238,238,108,114,125,147,155,167,177,183,197,215,210,200,192,181,179,167,136,102,155,240,230,234,236,237,237,238,238,238,107,113,126,146,155,168,178,181,229,215,206,212,194,178,159,150,131,94,158,241,229,234,236,238,238,238,239,239
23,91,101,116,124,128,132,137,139,141,144,145,148,150,152,153,155,156,157,158,159,160,162,163,164,165,166,167,167,92,102,117,125,129,133,138,141,143,145,146,150,151,153,154,155,156,158,159,159,162,163,164,165,165,166,167,167,94,106,120,125,130,134,138,141,144,145,149,151,152,155,156,157,157,158,160,159,163,165,166,166,167,167,168,169,96,108,121,126,132,135,138,141,145,148,151,152,152,156,157,159,160,162,162,163,164,165,166,166,168,170,170,169,97,109,122,127,133,137,140,143,146,149,151,152,153,156,158,159,161,163,163,163,163,166,168,169,169,171,171,172,98,111,124,129,134,138,141,144,147,149,152,154,156,158,158,160,162,163,165,167,154,154,155,122,160,173,172,173,101,113,125,129,135,138,142,145,149,151,153,155,157,159,159,160,161,171,178,164,140,129,109,96,167,173,173,174,104,117,126,131,136,138,143,147,150,152,155,156,158,160,160,166,175,170,161,126,94,115,125,161,175,174,175,177,104,118,128,133,137,140,144,147,150,152,154,157,159,160,159,188,174,139,113,96,144,153,176,176,175,176,177,179,105,120,128,133,136,141,144,147,150,152,155,158,159,160,161,195,174,113,106,174,167,103,160,177,176,177,178,178,106,120,127,133,137,141,145,148,151,153,157,159,160,161,166,198,179,159,191,187,147,116,135,182,178,179,180,179,107,121,128,134,139,142,147,149,151,153,156,159,160,162,172,195,184,195,185,162,149,156,126,142,150,181,180,180,108,123,128,133,139,143,147,150,152,154,156,159,162,162,173,185,181,183,173,176,176,162,117,79,97,167,185,182,110,123,129,133,139,144,147,151,153,155,156,161,162,165,174,172,168,177,182,173,162,144,100,60,67,121,185,183,112,124,129,134,141,144,148,152,153,155,160,161,169,182,175,163,164,169,164,160,159,136,88,59,64,76,122,180,113,125,130,135,141,145,149,152,154,157,159,158,187,198,172,166,165,165,160,153,136,119,85,62,58,80,83,144,114,125,130,135,140,145,149,152,154,156,158,159,176,202,182,179,161,134,114,101,104,122,84,59,54,79,85,159,116,126,131,137,140,145,150,153,155,156,158,161,171,198,183,170,149,131,90,47,103,126,83,61,71,87,109,187,117,127,132,137,142,147,151,154,157,157,160,163,173,192,171,160,169,120,76,60,115,103,60,60,87,88,150,191,119,127,131,136,142,147,151,155,158,158,161,163,171,195,169,174,169,110,54,57,62,44,53,72,93,104,185,189,120,127,132,137,142,147,151,154,157,159,161,164,172,190,172,179,162,121,71,28,33,52,78,88,86,139,191,188,121,128,133,138,142,148,151,153,157,159,160,164,174,187,173,183,162,122,86,37,55,81,95,98,96,177,187,188,122,128,133,138,143,149,152,155,158,159,162,163,176,186,178,181,162,124,96,53,69,93,99,94,128,192,187,189,122,127,133,140,144,148,152,156,158,161,164,164,179,185,181,179,157,125,95,57,77,98,99,86,156,192,189,190,122,127,133,140,144,148,152,156,158,160,164,165,181,187,175,169,153,124,96,71,75,97,95,93,180,189,189,190,122,128,133,141,143,148,153,156,158,161,165,166,180,185,169,163,147,123,99,83,76,93,86,124,192,187,188,189,123,127,134,140,143,148,153,156,159,161,164,166,181,183,170,163,145,126,106,87,79,87,88,173,190,188,189,189,121,127,134,139,145,149,153,157,160,161,165,166,188,182,172,163,146,129,110,89,81,82,135,191,188,190,190,191
11,150,154,157,159,160,161,163,164,165,166,166,166,165,169,168,170,168,167,167,167,165,164,164,165,163,160,158,158,152,157,159,159,162,164,166,166,167,168,167,171,174,162,173,173,171,170,170,170,168,167,167,167,167,165,161,160,157,159,161,164,164,166,168,169,170,172,168,181,193,109,171,176,173,171,172,173,173,171,170,169,169,168,165,164,159,160,163,166,167,168,170,173,173,175,168,200,191,85,166,176,174,173,175,175,175,174,174,173,171,169,167,166,160,163,166,168,169,169,172,175,175,176,172,230,168,84,175,176,177,176,175,176,176,176,176,174,172,171,170,168,163,166,168,170,170,172,175,176,179,172,193,242,124,100,185,175,177,178,179,178,178,177,177,176,174,173,173,171,165,168,169,171,173,175,175,178,180,171,224,231,97,139,188,179,180,182,183,180,179,179,179,179,177,175,174,173,168,171,172,175,176,176,177,180,175,190,244,193,86,165,187,183,183,183,184,182,181,182,183,180,178,177,176,175,168,172,174,176,178,179,181,182,181,230,238,139,90,189,186,185,185,185,185,185,184,184,184,182,181,179,177,178,170,173,175,178,179,182,184,178,205,244,220,87,124,197,185,186,187,188,187,187,186,186,186,184,184,183,180,179,174,176,178,180,182,184,186,180,223,244,195,64,168,196,186,188,186,188,189,188,189,187,186,185,184,184,183,181,176,177,180,182,184,186,186,192,240,244,172,136,211,161,186,192,188,190,190,191,192,190,187,188,185,185,185,183,177,179,181,183,187,187,179,214,244,240,236,231,190,96,159,198,190,192,193,192,193,192,190,189,187,186,186,185,177,180,184,184,182,188,202,238,243,243,242,176,102,81,139,201,191,193,195,194,193,193,191,191,191,189,187,185,178,181,185,187,215,234,243,242,243,226,204,154,80,76,117,201,192,195,195,196,196,195,193,192,193,193,188,186,180,185,181,216,244,242,242,241,244,190,97,110,84,86,97,195,197,197,197,197,197,196,194,194,193,193,191,188,182,184,189,238,239,235,242,244,230,163,88,83,86,86,92,188,201,197,199,198,197,197,197,197,195,194,193,192,185,182,208,244,239,243,241,213,170,175,117,81,79,87,93,188,201,199,202,199,197,198,198,198,196,195,195,194,188,183,228,244,242,223,179,128,96,186,146,90,71,72,108,200,200,198,201,201,200,200,199,199,199,195,195,194,185,195,242,244,226,161,103,53,30,190,164,85,85,147,190,206,210,210,210,205,203,208,203,199,199,196,197,196,182,215,244,234,201,144,97,40,111,191,99,51,98,199,208,197,181,151,123,111,111,130,190,207,200,200,199,199,186,234,244,229,176,115,73,36,95,107,28,37,31,51,88,92,93,89,85,93,90,74,84,178,207,201,201,200,205,244,242,207,137,82,52,40,37,41,39,44,50,44,56,85,106,120,113,109,98,83,55,98,213,196,200,199,234,244,233,177,120,79,44,38,38,43,52,59,68,72,96,113,113,111,114,123,150,158,127,149,208,198,198,199,242,244,219,157,109,69,35,38,49,68,81,83,87,94,110,104,132,173,199,209,212,214,215,210,202,203,215,150,243,241,197,140,100,63,36,61,82,96,106,105,100,86,106,163,214,215,212,209,207,207,205,206,214,200,143,72,244,227,175,126,90,62,48,87,105,105,104,112,87,136,201,215,210,209,211,211,209,210,208,215,178,97,58,49,238,206,150,112,87,64,55,91,100,101,104,89,133,222,212,210,212,211,211,213,213,211,215,175,82,66,57,44
20,147,150,153,157,160,162,164,167,167,169,170,171,172,172,174,174,176,172,175,173,173,172,173,172,172,172,171,170,148,152,155,159,162,163,165,168,169,171,172,173,174,175,175,175,201,149,159,174,175,175,174,174,174,173,172,172,150,153,157,161,164,166,167,170,172,173,173,175,177,178,177,176,213,142,158,163,151,182,176,177,177,175,174,173,152,155,158,162,166,166,169,172,172,174,175,177,178,178,178,180,210,146,177,176,129,184,179,179,178,178,177,175,153,156,159,163,167,168,171,173,174,175,177,179,180,180,178,182,217,161,175,192,127,180,181,181,180,179,178,177,154,158,161,164,168,170,172,175,177,177,179,180,182,184,179,187,220,161,178,206,135,175,185,183,183,182,181,180,156,160,163,166,169,171,174,177,178,180,181,181,181,181,180,196,211,156,190,203,134,172,188,185,184,184,182,181,158,162,165,168,171,174,176,178,180,180,183,184,184,196,183,196,214,154,196,199,129,172,189,186,186,185,184,182,159,163,166,170,173,175,178,179,181,183,184,179,202,230,206,151,172,154,196,196,131,177,190,188,187,186,185,184,160,165,169,172,174,176,179,180,183,184,188,208,202,188,196,155,115,122,176,179,133,182,192,190,188,188,187,185,162,166,169,172,176,178,181,182,185,181,208,227,214,162,176,181,172,144,133,152,129,186,193,191,190,189,189,188,164,167,170,174,177,180,183,183,186,185,213,179,172,200,143,183,207,173,116,120,124,190,192,192,191,190,190,189,165,168,172,175,178,181,184,185,187,185,214,168,113,126,99,125,199,185,135,108,115,189,194,194,193,191,192,191,166,170,173,177,179,183,185,187,189,189,211,174,160,129,111,103,169,216,165,112,110,191,196,195,194,193,192,192,167,171,174,178,181,184,185,188,190,192,222,206,164,133,126,129,148,228,192,131,102,188,198,196,196,195,194,194,169,171,175,178,182,184,187,190,190,194,224,193,147,131,135,147,170,230,208,152,105,181,201,197,197,195,195,195,170,173,176,180,184,185,188,190,190,194,224,197,160,148,151,158,203,230,206,165,112,179,202,197,198,197,197,197,172,175,177,181,185,187,190,192,193,195,228,208,174,155,164,180,229,229,195,163,115,178,206,201,200,198,198,197,172,175,179,183,186,188,190,194,195,197,228,217,186,159,175,199,230,225,192,157,118,179,208,201,200,199,199,199,172,175,179,182,184,187,190,193,195,195,225,222,190,173,176,215,229,212,188,153,113,176,209,200,201,200,201,200,172,176,180,183,184,188,191,193,195,194,222,225,195,192,181,218,227,201,181,148,108,173,210,202,201,199,199,199,173,177,180,183,186,190,192,194,196,194,214,227,204,205,192,205,217,191,174,145,101,174,210,202,203,201,199,199,173,177,180,183,187,190,192,194,197,197,206,227,212,208,197,185,201,174,167,136,99,180,210,203,203,203,202,201,173,178,181,185,188,190,192,195,197,198,201,226,220,203,180,167,179,163,167,132,104,198,207,204,205,202,206,204,175,179,182,186,188,190,192,195,200,208,202,225,213,187,156,147,169,162,160,113,128,213,205,206,206,211,195,140,171,176,181,186,189,193,195,203,187,110,91,216,201,170,147,141,177,158,146,93,167,224,210,211,214,194,126,103,136,137,139,141,143,147,148,154,145,85,38,177,213,179,147,154,191,139,119,77,69,158,182,181,177,121,94,95,107,105,109,111,112,110,109,111,124,129,94,119,188,169,151,168,184,116,98,57,45,89,112,117,125,105,85,76
2,200,201,200,202,201,201,203,202,202,203,204,202,201,201,201,201,201,198,200,200,198,198,198,198,196,195,194,193,204,203,204,204,204,203,204,205,203,206,206,204,204,204,206,206,205,206,200,199,196,199,199,198,197,196,195,194,206,205,206,205,206,205,206,206,206,206,207,206,201,196,184,181,156,173,216,207,202,200,200,198,198,197,196,197,207,206,206,208,208,207,207,205,208,208,204,190,162,133,109,89,79,115,184,171,197,203,201,201,202,199,197,198,210,209,209,210,209,210,208,208,203,201,180,135,98,82,78,56,55,67,105,83,189,208,204,204,204,202,202,201,210,211,212,210,211,211,211,203,193,170,123,80,57,51,47,49,54,70,77,82,188,209,205,204,206,204,201,203,211,212,211,211,212,211,209,195,188,121,64,49,43,45,55,43,44,54,69,76,91,211,205,204,205,205,202,204,213,212,211,210,211,213,207,199,164,94,44,33,46,50,49,44,59,73,76,81,153,215,205,207,207,208,207,205,214,213,213,212,213,214,203,198,132,68,39,49,48,35,54,69,57,59,102,186,215,208,210,210,205,189,200,208,214,213,214,213,215,213,204,191,128,72,44,57,40,54,65,52,91,182,211,217,210,211,213,207,184,140,155,216,215,215,215,216,219,208,208,186,127,77,56,41,47,75,68,138,210,221,212,211,212,214,210,180,179,106,165,218,217,216,216,219,209,194,216,181,122,74,58,36,64,59,124,238,213,213,215,213,213,216,193,172,156,97,207,212,220,219,217,222,196,182,217,181,135,84,52,42,61,56,192,222,214,217,217,215,215,217,176,180,112,116,224,208,220,220,219,225,193,178,222,187,151,93,50,51,48,113,233,215,218,219,217,217,218,198,167,167,100,129,225,210,220,220,220,227,190,193,230,193,159,111,58,54,40,159,238,222,225,225,220,222,199,176,181,165,84,127,228,212,220,220,220,229,191,203,233,195,164,122,65,52,45,153,224,194,187,198,212,203,175,184,178,128,80,193,218,215,221,222,222,227,189,209,233,192,165,136,73,47,59,79,114,126,134,139,149,137,165,172,137,83,182,222,213,216,223,223,224,228,187,209,230,193,171,139,81,51,65,93,129,151,153,130,127,118,128,130,77,171,227,214,218,216,222,224,223,227,184,210,226,202,178,140,86,70,77,124,142,160,146,126,105,101,102,70,148,230,215,220,219,218,223,224,225,223,188,210,223,205,175,138,97,84,75,124,133,146,141,118,96,93,61,112,231,218,220,220,219,219,226,226,229,222,194,213,218,207,171,135,106,95,76,110,123,126,127,108,93,65,88,212,226,220,222,221,221,220,226,226,228,220,203,218,215,213,173,129,109,94,74,106,106,107,104,91,68,127,214,228,222,222,222,221,221,220,228,227,229,217,210,221,211,206,160,112,96,84,73,101,90,97,79,74,170,232,227,224,222,222,222,221,220,219,227,226,229,212,212,220,207,194,145,94,85,79,78,94,81,72,83,189,237,223,225,225,223,224,223,222,222,221,226,226,228,213,204,210,206,199,157,89,90,90,85,86,55,106,211,233,226,227,228,226,224,225,223,222,222,221,226,227,227,213,208,200,205,212,176,86,97,98,94,60,104,229,226,224,227,226,224,225,224,224,222,219,220,220,226,228,220,214,223,209,213,213,184,90,99,104,89,93,219,230,226,228,227,227,225,225,224,224,222,221,220,219,227,229,218,218,221,220,215,209,181,98,92,100,79,166,238,226,229,229,229,228,225,226,226,225,223,223,221,220
5,180,182,185,188,188,188,188,189,190,191,189,190,191,191,192,190,198,181,189,190,188,187,186,185,184,182,181,181,182,185,188,189,189,189,191,191,201,197,163,193,193,193,193,191,219,150,185,192,192,189,187,187,186,185,183,182,184,186,189,191,191,193,194,194,200,222,146,192,196,194,194,199,223,140,183,194,193,192,190,189,188,187,186,186,187,188,190,193,193,194,194,195,199,233,153,187,198,197,196,219,205,137,192,196,195,194,193,192,190,189,189,187,189,191,192,194,195,215,168,194,200,242,176,180,200,199,202,230,180,146,199,197,197,196,195,195,194,192,190,189,191,193,195,196,196,226,166,179,200,247,199,172,201,199,221,223,158,171,200,200,200,198,196,197,196,194,192,192,193,195,196,198,197,225,195,160,204,243,195,163,203,205,224,195,140,191,202,202,202,200,199,198,196,195,194,194,195,196,199,200,200,224,225,162,203,233,186,151,204,209,206,152,151,204,204,203,203,202,201,200,199,196,196,195,196,198,201,202,201,214,246,183,193,231,200,155,202,199,190,130,183,206,206,205,204,203,202,202,201,200,198,198,198,199,201,203,204,209,250,212,168,229,197,162,177,178,178,139,201,208,207,207,207,204,203,203,202,202,201,199,199,200,202,204,205,207,245,241,185,210,185,175,138,155,159,152,207,210,209,209,208,207,206,205,204,202,201,200,201,202,204,206,207,208,228,253,239,194,166,171,128,133,139,169,210,211,211,207,207,206,206,205,205,204,202,202,202,204,206,207,208,209,213,247,252,229,163,151,131,127,122,179,208,208,212,216,220,223,222,215,205,201,191,195,204,206,208,209,210,211,211,229,254,247,203,144,126,124,120,146,184,199,194,177,191,202,193,196,203,191,151,177,205,207,208,210,211,213,214,215,248,252,216,156,128,122,120,131,149,167,153,129,147,157,160,175,179,177,146,198,207,209,210,211,213,215,215,215,237,252,216,158,129,120,119,126,127,127,134,181,209,211,211,208,205,186,158,205,208,209,211,213,215,217,217,217,236,253,217,163,132,118,120,119,125,177,208,217,216,215,209,208,193,161,197,209,208,211,213,214,215,218,218,218,242,253,217,168,135,120,114,105,186,217,218,218,217,210,197,204,161,178,212,210,209,212,215,216,216,218,218,219,247,252,212,167,134,118,111,112,160,193,215,216,201,197,198,185,140,195,214,212,210,213,216,217,217,217,219,223,252,248,205,165,130,111,108,118,124,139,156,170,179,191,188,159,161,212,214,204,211,214,215,217,218,219,219,228,254,244,202,160,127,107,108,114,124,143,151,160,176,174,159,179,213,216,177,137,210,213,215,216,218,219,219,236,254,238,194,153,130,110,114,121,141,159,155,150,160,149,187,216,217,202,130,123,212,214,216,218,219,220,220,244,254,228,184,157,138,114,121,138,155,160,155,141,141,195,218,218,217,182,123,117,213,215,217,219,221,221,223,251,252,217,182,166,144,116,124,145,157,156,149,146,203,222,221,221,187,121,105,95,213,216,218,221,222,222,230,254,250,215,188,169,143,116,122,144,147,146,139,200,224,224,222,209,139,109,98,85,215,217,218,221,221,222,242,254,247,221,193,163,133,109,112,130,136,133,179,225,225,222,183,136,112,99,87,75,215,217,219,221,222,223,251,254,243,219,175,130,103,86,91,101,121,171,224,228,223,174,128,113,104,96,86,73,200,204,207,207,194,209,254,250,228,193,135,92,76,66,71,70,138,225,228,225,168,117,109,101,94,91,91,80
20,81,84,88,96,113,127,133,138,147,152,156,160,164,171,164,173,176,173,174,174,174,174,174,173,172,172,171,169,81,85,89,97,116,131,137,142,152,157,161,165,167,195,142,139,170,178,179,178,177,178,177,177,175,175,175,173,82,86,90,100,119,134,140,146,156,162,167,172,172,209,152,141,143,147,190,182,182,181,181,181,179,179,179,178,83,88,90,103,123,136,142,150,160,167,171,177,177,214,154,145,176,107,184,189,187,186,185,185,184,183,183,181,84,88,90,105,124,138,144,153,164,170,175,180,181,211,151,129,192,101,157,199,190,191,191,189,188,187,187,185,84,88,91,107,127,141,146,155,166,172,177,183,185,211,174,117,187,122,132,204,194,195,194,193,192,192,190,190,85,89,92,110,129,142,148,157,168,175,180,185,186,215,180,113,186,151,117,202,200,199,198,197,197,196,195,193,86,89,93,112,130,144,149,160,170,178,183,189,189,217,169,109,179,157,108,197,205,202,202,201,200,200,199,197,86,89,94,113,131,146,151,161,172,180,186,192,192,225,182,110,180,181,109,190,210,205,206,205,204,203,202,201,86,89,95,114,133,148,152,163,174,182,187,192,195,217,177,107,169,192,117,180,215,207,208,207,207,207,206,203,87,89,96,116,135,149,154,166,178,183,192,191,168,200,139,95,163,188,114,168,220,210,210,210,210,209,206,205,87,89,97,118,137,150,156,168,180,185,198,220,196,192,168,96,146,182,110,154,224,212,211,210,211,214,219,213,87,87,98,120,140,152,157,170,180,183,199,235,222,161,167,148,119,126,99,144,222,211,219,223,218,201,162,106,88,88,99,122,142,153,159,170,190,178,174,181,213,171,111,140,154,113,80,118,230,220,193,151,116,83,58,61,86,88,101,124,142,154,160,170,210,226,189,129,163,209,129,86,136,150,105,89,163,114,73,59,58,68,73,69,84,85,100,124,143,154,161,173,202,203,214,161,111,193,199,100,106,158,154,105,63,56,58,63,62,55,71,67,83,84,100,124,144,154,160,176,193,137,146,177,154,158,201,125,104,147,166,141,86,56,58,50,68,55,58,68,82,84,101,125,145,155,162,176,203,174,126,114,165,154,114,106,99,108,155,154,118,73,63,50,54,64,53,59,78,79,100,126,147,156,165,178,208,182,124,107,115,125,120,136,141,132,155,150,132,91,49,67,47,55,55,56,106,108,113,123,136,143,151,156,194,174,136,131,133,144,160,179,202,205,176,126,122,91,30,61,61,47,53,50,112,112,112,109,112,114,117,109,156,207,174,139,137,164,182,210,225,206,170,123,106,81,25,44,66,56,53,46,113,114,116,119,118,119,121,117,137,212,186,155,139,172,182,216,224,201,165,124,103,80,32,31,58,59,58,50,114,116,116,118,118,120,122,120,124,205,202,179,140,177,180,210,214,185,155,126,103,80,45,25,47,59,58,55,115,115,115,116,116,118,120,123,117,187,209,190,146,177,178,191,207,185,152,124,103,71,56,27,33,58,56,54,113,114,115,116,116,118,119,122,116,153,205,192,158,181,162,168,191,193,153,119,102,59,59,38,22,50,57,49,113,114,115,115,117,118,118,121,121,121,184,202,173,181,157,147,179,184,144,110,95,49,58,51,24,34,57,45,113,114,115,115,116,117,118,119,121,117,140,199,184,174,157,131,153,162,132,111,78,23,54,60,38,23,48,53,112,113,115,115,116,117,118,117,119,122,117,181,193,169,151,134,130,145,131,115,50,19,41,62,48,28,32,51
7,248,248,248,247,246,248,247,249,248,246,244,244,239,205,241,236,218,200,190,183,164,148,135,93,72,32,83,213,250,251,251,251,250,250,249,249,248,249,248,246,245,231,237,243,221,193,161,152,128,98,81,56,51,25,99,221,253,252,253,254,253,254,253,254,253,253,251,250,247,233,242,243,228,207,159,124,87,63,47,38,34,37,101,223,255,255,255,255,255,255,255,255,255,255,251,249,255,241,237,241,233,227,222,205,170,119,72,46,53,45,101,225,255,255,255,255,255,255,255,255,255,255,254,255,210,216,245,238,230,232,236,227,230,175,98,69,67,52,104,228,255,255,255,255,255,255,255,255,255,255,255,249,149,172,255,245,234,235,239,223,230,175,72,77,75,64,96,229,255,255,255,255,255,255,255,255,255,255,255,216,171,254,218,236,237,225,240,229,220,152,78,82,84,81,52,119,255,255,255,255,255,255,255,255,255,255,255,213,255,255,230,164,221,222,224,217,197,136,89,86,89,84,40,56,255,255,255,255,255,255,255,255,250,238,239,255,255,255,255,228,170,201,217,209,189,151,106,94,96,84,34,55,255,255,255,255,255,253,233,214,201,182,132,126,163,197,211,200,166,148,171,189,186,159,115,104,102,80,59,167,255,255,255,242,221,205,202,197,194,181,123,86,109,134,138,132,142,142,118,120,140,134,120,116,100,73,101,215,233,218,206,199,200,206,202,195,191,163,118,107,108,118,128,133,138,140,119,100,118,104,115,113,107,82,144,156,205,209,214,211,208,212,210,213,201,175,125,100,111,123,128,125,133,130,110,101,108,108,119,117,157,126,195,111,219,215,215,210,212,219,220,214,205,186,121,87,109,127,143,137,137,132,122,114,104,124,112,111,135,128,121,37,213,214,219,220,216,211,212,203,195,157,103,103,116,120,125,126,127,124,123,110,110,131,118,114,107,127,141,107,226,225,219,218,212,214,213,205,199,155,89,87,86,79,85,90,101,105,98,108,102,110,110,102,102,111,135,117,224,224,217,215,216,219,205,200,217,184,88,69,71,65,107,122,104,167,201,145,147,91,89,109,99,92,79,77,210,214,217,210,209,207,195,206,211,163,93,77,82,77,77,93,107,138,153,121,103,117,123,127,56,70,100,64,200,199,208,204,197,194,192,194,188,136,85,88,87,85,78,74,199,211,127,96,94,133,204,73,6,24,116,132,194,192,192,196,194,190,189,192,192,126,75,60,82,95,77,113,180,92,123,96,92,139,130,11,73,56,103,179,189,191,187,193,193,190,191,191,192,126,69,51,54,77,69,83,105,76,85,82,87,100,93,106,114,99,119,175,191,181,170,172,171,169,172,171,154,110,70,59,71,87,81,79,150,88,155,132,110,92,146,94,68,73,118,167,168,171,154,137,131,129,128,120,90,80,79,135,128,101,120,91,123,126,172,81,64,46,145,110,80,94,80,123,140,148,131,112,101,107,109,106,143,215,216,221,172,132,123,116,73,72,144,59,85,41,76,136,76,101,68,84,127,130,149,161,170,179,228,195,208,220,223,179,203,236,235,122,88,70,105,109,73,59,138,83,77,103,66,81,188,129,255,255,255,215,255,140,211,183,214,229,218,214,243,174,65,139,89,87,57,130,247,126,76,104,78,74,191,139,215,255,255,235,235,115,193,155,200,222,214,216,219,204,140,202,192,119,27,164,225,145,136,196,116,69,151,161,236,255,255,255,233,172,109,134,202,210,200,171,186,197,211,186,211,154,41,154,189,136,182,220,169,85
6,196,198,199,201,203,203,204,205,205,205,205,204,203,202,201,201,199,198,197,196,195,194,191,189,188,187,185,183,196,198,201,203,204,205,205,206,207,207,205,204,203,204,203,202,202,200,197,197,197,196,194,191,190,188,186,185,198,201,204,205,205,206,208,209,209,209,207,206,207,205,204,203,203,202,201,199,197,197,196,193,191,189,188,186,199,202,205,206,206,208,209,210,210,209,209,208,207,207,205,204,203,203,202,201,199,197,196,194,192,191,190,189,201,204,206,206,208,210,210,210,211,211,210,209,209,208,208,206,205,204,203,202,201,198,197,195,193,192,190,189,200,204,207,208,209,210,210,211,211,211,211,211,211,209,208,208,206,204,203,203,202,200,199,199,196,192,192,190,201,204,207,209,210,210,211,211,211,211,211,210,211,210,210,211,211,210,208,205,205,205,203,197,193,189,188,189,202,205,208,210,211,211,210,212,212,212,215,216,216,214,211,205,197,184,172,158,146,155,156,148,136,152,175,160,203,207,209,209,210,212,214,217,215,212,201,187,176,172,167,161,154,147,138,130,121,134,132,135,133,135,148,130,203,206,210,213,214,209,198,187,180,171,156,147,141,144,148,156,154,148,129,122,113,109,110,115,113,113,132,166,207,209,207,198,187,165,154,153,151,148,145,132,114,118,122,113,110,112,116,127,140,156,166,175,179,189,198,199,189,174,164,163,162,157,155,155,153,152,150,141,104,86,78,124,163,180,198,208,215,214,211,209,207,202,197,195,169,162,165,169,167,164,162,163,163,163,159,146,108,93,88,172,216,227,220,211,208,205,204,204,202,200,198,197,172,169,166,165,162,159,157,153,155,158,147,119,94,97,104,94,103,141,193,218,209,209,207,205,203,200,198,198,174,170,166,163,160,155,150,146,142,140,128,106,94,100,106,107,102,89,89,164,217,208,207,205,204,202,201,199,171,167,163,159,157,150,147,144,141,148,145,117,87,81,95,111,113,111,96,103,215,209,209,208,204,203,201,198,165,160,157,151,148,144,143,138,141,152,155,121,90,84,79,75,86,102,84,137,220,210,209,208,205,204,202,200,161,157,148,142,143,139,137,128,130,138,124,102,96,100,100,88,71,90,156,211,215,212,210,209,207,204,203,201,149,149,143,136,133,131,127,118,115,120,105,85,88,98,101,99,87,107,221,216,213,211,210,208,207,205,203,202,140,146,142,135,129,127,125,122,125,128,111,80,71,83,96,102,91,81,202,217,212,211,210,209,208,207,203,202,128,140,143,140,132,123,120,124,133,128,107,90,93,91,81,83,96,155,221,214,215,213,211,210,208,206,203,202,97,109,121,130,127,120,116,115,112,100,89,87,89,92,73,119,212,223,217,217,215,213,211,210,208,206,203,203,39,110,158,125,108,112,116,123,123,137,156,153,121,100,116,200,227,216,218,217,215,214,211,210,209,208,206,203,31,177,231,212,201,207,213,219,222,228,230,231,225,213,226,223,217,218,217,216,214,212,211,209,208,207,205,202,78,211,211,214,219,220,219,220,221,219,218,219,220,222,219,217,217,216,216,215,213,211,209,207,206,205,203,201,165,217,211,213,215,216,217,219,221,221,221,221,221,220,219,218,217,216,215,214,213,211,209,208,206,204,203,202,211,209,212,214,216,217,219,220,221,221,221,221,221,221,220,218,218,216,215,214,213,211,210,208,206,204,202,201,204,210,212,214,215,217,218,219,220,220,221,221,221,221,221,219,217,216,215,214,212,211,209,206,206,203,201,200
21,124,130,136,139,143,149,154,158,161,164,166,168,170,171,172,172,172,171,170,170,170,170,169,168,166,165,165,164,125,132,138,141,145,150,155,159,163,166,168,170,171,172,174,174,173,173,172,172,172,171,171,169,167,166,165,165,127,134,139,143,147,153,157,161,165,168,170,172,173,175,172,172,175,175,175,175,173,173,172,171,169,167,166,166,128,135,141,144,148,154,159,163,167,170,172,174,176,183,162,151,173,177,177,177,176,175,174,173,171,170,168,167,129,137,142,145,149,155,161,165,168,171,174,175,179,193,164,132,163,179,179,179,178,177,176,173,170,171,171,169,131,138,143,146,151,157,162,166,170,173,175,177,180,194,178,135,154,180,181,180,180,179,179,164,146,165,173,172,133,140,144,147,153,159,164,168,172,175,178,180,181,194,197,155,148,179,183,182,181,182,181,156,122,154,174,174,134,141,146,149,155,161,167,170,173,177,179,182,183,194,208,169,141,174,185,184,183,185,181,150,120,158,176,176,136,143,148,151,157,163,168,172,175,178,181,184,185,193,208,175,137,165,186,186,186,191,181,142,125,168,179,178,137,144,149,152,159,165,170,174,177,180,183,185,187,192,210,185,142,157,187,188,189,193,175,134,136,177,181,180,138,144,150,154,160,166,171,175,179,181,184,187,188,191,210,196,150,153,187,189,193,189,158,123,151,182,182,181,139,146,151,155,161,167,172,176,180,183,186,188,189,191,205,196,147,147,187,194,200,187,146,120,165,185,183,182,141,148,152,156,162,169,174,178,181,185,187,189,191,189,197,191,138,138,183,194,197,177,134,133,179,186,185,184,142,149,154,158,164,170,176,179,183,186,188,191,189,168,167,183,142,143,174,186,181,151,118,152,187,187,187,186,142,150,156,159,165,172,177,181,184,187,190,195,193,157,139,155,144,143,162,177,168,129,120,173,190,189,188,188,143,151,157,161,167,174,179,183,186,189,191,186,186,161,145,140,144,137,131,152,151,116,142,188,192,191,190,189,144,152,157,161,168,175,180,184,188,195,198,171,158,161,160,156,157,134,99,109,119,103,154,193,194,193,192,190,145,153,158,162,169,176,181,185,190,204,211,181,141,149,158,150,148,131,103,86,84,93,160,195,195,194,193,192,147,154,159,163,170,176,182,186,191,207,213,187,139,130,145,124,123,134,123,97,76,86,162,196,196,195,194,193,148,155,160,165,171,178,184,188,193,211,209,184,142,119,147,140,112,138,143,116,89,81,146,196,198,196,195,194,148,156,161,166,172,179,185,189,195,213,208,185,142,109,146,172,126,142,160,129,102,84,126,194,199,198,196,195,150,157,161,166,173,180,186,191,195,215,223,196,147,123,124,147,133,155,161,131,106,86,121,193,200,199,198,196,150,157,161,166,174,181,187,192,196,214,227,206,165,149,117,138,168,165,153,125,102,84,128,196,201,200,199,198,151,158,162,167,175,182,187,192,196,211,226,204,175,152,135,168,185,160,149,133,101,82,139,200,202,201,200,200,151,158,163,168,176,183,188,193,197,208,222,204,187,161,164,194,184,161,149,137,103,85,157,203,203,202,201,201,151,157,161,167,175,182,188,193,197,204,216,204,191,169,171,194,177,156,137,121,92,96,177,205,204,202,202,201,151,157,161,167,175,182,188,192,196,199,206,203,189,168,153,167,156,136,115,97,78,120,194,205,204,202,202,201,152,157,162,168,175,182,188,192,196,182,184,201,187,162,137,138,136,123,103,84,80,151,203,206,204,202,202,201
1,75,83,69,55,56,48,60,17,45,69,81,89,123,96,81,111,111,116,117,120,122,125,126,128,129,131,133,133,78,86,67,58,55,53,59,17,51,71,85,92,124,107,70,111,86,108,121,121,124,126,127,131,131,132,133,134,80,87,65,61,52,59,54,18,57,69,114,100,100,123,78,121,84,83,125,122,125,126,129,131,132,133,134,135,83,87,63,64,52,65,46,21,60,71,124,107,90,126,82,122,107,72,122,124,126,128,130,131,133,134,135,136,86,85,62,66,51,69,39,26,65,73,125,113,90,139,102,110,118,71,115,128,126,129,131,133,134,136,137,137,89,85,64,69,53,73,31,32,66,73,124,118,91,146,109,106,136,82,103,132,128,131,133,134,136,138,139,139,91,82,67,72,54,76,27,35,91,92,118,136,95,138,111,109,146,96,89,133,130,132,134,137,139,140,140,141,95,82,70,71,57,77,23,40,122,97,112,138,94,129,116,102,141,107,82,132,132,133,136,138,140,141,141,142,96,80,73,69,61,75,19,48,124,93,108,137,91,127,128,96,138,114,80,131,134,135,138,140,141,142,143,144,96,78,76,67,67,72,18,53,128,96,104,144,90,123,138,93,142,122,81,127,135,137,139,141,142,144,144,144,97,77,80,65,73,64,20,55,133,114,100,147,99,104,139,88,132,125,77,121,140,138,140,142,144,145,145,145,94,78,83,64,80,56,23,58,129,116,88,146,103,80,132,81,117,134,78,114,142,137,141,144,145,146,146,146,93,78,84,61,85,48,27,60,119,122,82,132,112,105,121,115,128,113,74,100,144,139,142,144,146,147,147,147,92,79,84,61,89,39,32,61,117,136,82,116,131,112,99,126,127,84,64,87,145,141,143,145,146,147,148,149,90,82,84,60,91,32,38,62,118,127,100,124,125,123,117,146,138,90,59,71,139,142,144,146,147,148,150,150,89,84,84,61,91,26,42,64,119,131,130,116,115,120,126,137,132,112,73,55,130,145,144,147,148,148,149,151,89,86,82,66,91,20,47,65,131,145,123,106,104,109,114,111,129,132,100,56,115,149,144,147,147,149,150,151,86,91,80,71,88,17,50,67,138,140,113,98,104,112,125,136,140,146,126,75,94,150,144,147,148,150,150,151,85,93,78,77,83,16,54,67,128,140,107,94,111,112,131,156,144,146,135,94,79,147,145,148,148,150,150,150,87,95,74,82,74,16,58,67,112,144,115,100,105,119,134,156,152,138,125,90,77,147,146,148,149,150,151,152,88,96,70,88,68,17,60,70,94,141,121,105,102,123,136,157,153,136,117,79,83,149,145,147,150,151,151,152,88,98,69,94,60,19,61,73,83,131,133,113,101,118,135,153,151,132,113,76,85,150,145,148,149,151,152,152,91,100,67,100,52,22,62,73,79,118,139,121,110,109,130,150,143,125,112,73,85,150,146,149,150,151,151,152,94,102,67,107,45,25,63,72,80,98,133,127,121,110,123,144,136,119,106,70,90,150,145,149,150,151,151,152,98,102,69,110,37,28,62,70,80,88,114,131,125,119,115,128,131,113,102,67,103,149,144,147,148,149,150,150,102,99,70,112,30,31,59,69,78,87,97,128,128,121,108,111,121,103,94,70,123,146,143,145,146,147,149,149,104,95,74,111,23,34,59,67,76,88,90,121,128,115,104,104,104,100,93,70,132,141,142,145,146,147,149,149,106,92,78,106,21,38,56,61,70,82,84,114,124,107,106,110,105,99,87,67,132,139,139,142,144,145,146,146
3,131,139,144,148,150,154,159,164,166,168,169,170,171,172,173,173,174,177,176,174,175,174,174,175,176,174,173,173,134,142,149,152,155,159,164,168,170,172,174,175,175,176,177,179,184,143,173,179,178,178,178,179,178,177,177,176,139,148,153,158,161,165,170,173,175,178,179,180,181,182,181,188,195,112,150,191,182,185,184,183,183,182,181,180,144,152,157,161,166,169,174,178,180,183,184,185,186,187,187,192,196,109,124,198,188,189,189,188,186,186,184,183,150,156,161,166,170,174,178,182,185,187,188,189,191,192,192,195,200,111,109,198,194,194,193,193,191,189,189,188,152,161,165,169,174,178,183,187,190,192,193,195,195,197,198,200,210,130,103,198,198,198,198,197,197,195,193,192,155,164,170,173,178,182,187,191,193,196,197,199,201,200,200,194,220,136,91,190,205,202,203,201,201,200,197,195,159,167,172,176,181,185,190,195,197,199,201,202,202,210,226,179,147,128,108,183,210,206,206,205,205,203,200,198,162,171,176,180,185,190,195,200,202,204,208,212,189,178,240,214,130,187,129,174,217,208,209,208,207,206,204,204,166,174,179,182,188,192,198,203,206,204,193,229,224,172,204,219,164,196,98,138,225,209,211,211,210,209,209,208,168,175,181,185,191,196,200,204,208,219,197,180,229,198,176,210,152,190,133,98,201,220,215,214,214,212,212,211,170,178,184,188,194,198,203,206,210,229,235,182,155,212,161,201,150,170,180,117,137,230,217,217,217,215,214,214,172,181,185,191,196,200,205,209,216,195,187,173,102,183,134,191,210,135,183,135,117,227,221,221,218,218,217,217,174,183,188,192,198,202,208,211,220,189,144,171,98,157,137,120,137,78,159,141,119,228,224,224,222,221,220,218,178,185,190,195,200,204,210,212,220,221,179,154,126,131,191,121,46,76,190,148,113,226,226,226,223,222,222,223,179,187,191,197,202,207,211,214,223,218,156,114,99,83,146,112,70,134,216,152,100,209,231,226,225,224,223,224,180,188,193,198,204,208,213,216,223,220,180,139,111,84,85,120,160,191,192,144,98,202,237,228,229,228,226,225,183,190,195,200,205,210,215,216,225,235,197,144,118,117,129,201,241,219,168,123,107,219,235,231,231,229,229,228,183,190,197,201,207,212,217,217,224,236,206,161,141,141,148,231,241,200,159,106,120,235,233,232,233,232,230,228,183,192,198,202,208,213,216,220,224,232,215,178,151,138,159,232,229,184,147,99,143,245,233,235,234,233,232,230,184,190,197,203,207,212,216,221,224,226,214,180,159,155,156,226,222,173,133,93,175,246,235,237,236,236,233,231,185,191,198,203,209,212,216,219,223,222,213,187,174,169,147,216,204,160,121,96,204,244,234,235,236,236,233,231,186,193,199,204,210,214,217,220,223,226,212,194,175,170,138,186,187,143,111,108,225,240,235,235,234,232,233,234,186,192,198,203,209,213,215,219,222,223,224,199,175,159,122,157,155,121,101,158,245,235,238,237,237,238,226,200,188,199,205,209,216,222,224,227,230,224,234,197,174,145,123,140,128,112,115,222,239,239,231,236,228,221,194,157,138,143,148,155,163,167,173,182,182,217,235,200,180,147,136,135,126,99,158,239,204,199,218,178,191,210,156,150,111,112,113,114,115,113,113,117,115,207,226,197,181,171,145,127,113,94,210,254,208,178,194,185,158,195,126,167,119,120,123,123,123,127,132,127,136,222,214,178,173,177,135,117,97,128,198,235,212,192,157,190,167,157,123,183
20,150,152,153,155,157,160,161,163,164,165,166,167,169,168,170,172,172,171,172,173,173,173,173,173,173,173,173,173,152,153,155,156,159,161,162,164,165,165,166,169,169,170,172,160,165,175,175,173,174,174,175,175,175,175,175,175,152,154,156,158,161,162,164,165,166,166,168,170,171,170,184,144,134,156,157,178,177,177,178,177,176,176,176,176,153,156,158,158,161,162,165,166,167,168,171,172,172,172,192,148,155,159,121,177,178,177,177,176,176,177,178,176,153,156,158,159,161,164,166,166,167,169,172,172,172,173,188,147,167,171,118,171,180,178,178,178,178,179,179,177,155,156,159,160,163,165,166,167,169,171,172,172,171,178,198,158,169,175,123,170,182,180,180,180,180,179,179,179,155,158,159,161,163,165,167,169,171,171,172,175,171,185,197,156,182,177,129,166,184,180,181,181,180,181,180,180,155,158,160,162,164,166,168,170,172,172,166,168,176,187,179,151,185,173,125,161,187,181,182,181,180,181,181,180,156,158,161,162,165,168,169,170,172,176,165,127,157,197,171,145,189,164,120,164,188,183,183,182,182,182,181,180,157,159,162,164,165,169,170,170,171,182,166,139,116,171,163,145,190,161,122,173,186,183,185,183,183,182,181,180,158,159,161,165,166,168,169,176,159,161,173,164,155,127,125,133,169,156,123,177,186,184,185,183,184,183,183,182,158,160,163,166,167,166,177,194,156,132,177,183,176,144,105,105,145,146,120,179,186,184,185,184,184,184,184,184,159,160,162,165,167,167,180,169,176,153,128,154,182,167,127,106,127,125,116,183,186,185,186,186,185,184,184,184,159,161,164,167,168,166,185,163,141,137,91,93,174,187,155,111,112,118,112,181,187,186,187,187,186,186,185,184,159,160,164,167,169,168,183,159,136,133,108,106,148,199,173,130,105,113,111,181,188,186,187,186,185,185,185,185,160,161,163,167,168,168,187,184,161,140,118,127,137,199,187,151,113,103,106,182,188,186,187,186,185,186,185,184,160,162,164,168,169,169,196,176,146,133,127,139,150,199,187,161,124,97,101,181,190,187,188,186,186,185,186,185,160,163,164,168,170,170,195,172,149,142,143,141,189,211,175,158,128,96,102,184,190,188,189,188,186,186,185,186,161,163,166,169,170,172,200,178,157,150,150,153,211,207,177,153,132,99,106,188,189,188,188,188,186,187,187,186,162,164,166,170,171,172,201,184,165,146,159,174,210,196,181,154,132,100,114,193,188,188,188,188,186,187,188,187,162,164,166,169,171,172,203,190,169,156,157,185,207,185,177,149,130,97,126,195,187,188,189,188,187,188,188,187,161,164,166,170,173,171,200,191,172,176,157,188,203,184,174,152,126,96,135,196,187,188,189,188,187,188,188,187,161,164,167,170,173,171,191,197,183,188,171,177,195,178,169,152,123,94,134,197,188,189,189,189,189,189,188,187,161,164,168,171,172,172,180,197,189,190,180,172,185,175,168,151,123,96,138,196,187,190,189,189,189,189,189,188,160,164,167,171,172,173,174,194,192,182,170,172,177,169,168,162,123,96,152,196,188,190,189,189,189,189,190,189,161,164,167,170,172,174,173,193,185,173,162,164,174,167,167,162,126,101,171,194,190,191,190,189,189,190,189,189,161,164,168,170,172,174,174,192,178,170,163,160,174,169,163,160,117,112,189,190,190,191,190,190,190,190,190,189,160,165,168,170,172,174,175,195,191,182,168,165,178,164,156,154,106,132,198,189,191,191,191,190,190,191,190,190
24,140,143,144,146,149,150,150,151,153,153,154,155,154,155,155,155,155,155,155,154,154,154,155,153,153,152,151,150,142,144,146,149,150,153,153,153,155,155,155,156,156,157,156,157,158,158,157,156,156,156,156,155,155,154,153,152,143,145,148,150,152,154,155,155,156,158,158,158,159,158,158,159,159,159,160,160,158,157,158,157,156,155,153,153,144,147,148,150,152,154,155,157,158,160,160,160,161,160,161,161,162,160,161,160,159,159,159,159,158,158,157,156,145,147,149,152,153,155,158,159,160,161,161,162,161,161,162,163,163,163,163,162,162,162,162,161,161,160,159,157,148,149,152,155,156,160,157,160,161,162,162,162,164,164,164,165,165,166,166,164,162,164,163,163,162,162,161,159,149,151,155,153,171,180,133,161,163,164,164,165,166,167,165,166,166,164,166,167,165,165,165,165,163,162,162,161,151,153,156,156,170,190,131,147,168,166,165,165,168,166,166,168,168,190,180,151,166,167,166,167,165,165,165,162,152,155,157,161,159,188,158,131,169,168,165,174,164,170,198,166,148,206,194,137,133,173,166,166,167,167,166,165,152,155,158,162,160,173,197,152,148,169,176,205,170,171,208,182,133,182,201,148,104,165,170,168,169,167,167,167,154,157,160,162,164,162,197,179,132,157,191,210,194,162,200,196,143,166,200,151,97,154,175,171,170,170,170,154,156,159,161,164,167,164,177,194,175,158,179,210,201,161,181,197,143,144,186,139,90,150,177,173,170,177,163,122,157,160,163,166,166,169,167,191,199,185,183,206,206,171,153,195,153,116,159,126,83,131,185,172,160,167,140,109,159,162,165,166,168,171,170,175,196,188,202,205,199,165,128,175,161,100,123,133,83,90,163,153,162,157,109,138,160,162,165,167,169,171,173,170,191,204,194,183,184,159,124,139,150,105,120,145,94,124,140,163,164,114,125,177,161,164,166,168,171,171,173,172,185,206,177,157,156,174,159,116,161,125,105,151,165,188,174,160,133,113,171,176,162,166,168,170,171,173,175,175,181,204,183,165,160,171,165,144,160,135,138,202,200,183,163,135,106,142,183,174,164,167,169,171,172,175,177,178,178,208,206,183,160,163,183,192,176,178,204,202,189,176,154,122,114,172,179,178,165,167,170,172,173,175,178,179,175,200,210,194,171,162,187,202,210,210,207,198,186,167,145,109,141,186,179,179,165,169,171,173,175,176,178,180,176,193,210,202,187,173,176,203,209,210,204,198,185,159,124,109,174,183,181,179,166,170,171,172,176,178,180,182,180,189,210,208,197,187,180,198,209,210,202,197,179,153,110,138,189,182,182,180,167,170,172,174,177,179,180,182,183,183,205,210,202,191,181,189,202,204,195,182,164,142,115,178,187,183,184,182,168,171,174,177,178,179,181,183,184,182,192,210,201,185,172,181,188,186,175,158,136,105,149,192,186,185,185,185,168,172,174,177,179,181,182,185,187,189,192,210,197,171,157,160,166,171,157,135,101,112,189,186,186,186,186,186,169,172,173,177,178,179,181,147,134,137,145,177,162,159,163,168,179,169,150,124,84,163,203,185,186,186,186,185,169,172,175,177,177,180,185,125,103,105,88,84,83,89,87,91,88,80,80,77,68,111,150,189,187,186,185,184,169,173,176,178,179,180,191,137,106,109,92,80,73,63,55,48,41,40,38,37,42,25,85,196,186,188,188,186,171,173,176,178,180,181,191,147,106,105,90,78,73,66,59,52,46,44,43,41,41,34,157,198,187,189,188,187
10,94,102,113,119,123,128,131,133,136,139,141,143,144,146,147,149,151,152,154,155,156,157,159,159,160,161,162,163,95,103,114,120,124,128,131,133,137,140,142,143,145,147,150,150,148,147,155,156,158,159,160,160,162,163,165,165,96,106,117,122,125,129,132,135,138,141,143,144,146,149,151,157,148,118,155,157,160,160,162,163,164,166,166,167,99,107,117,122,126,130,134,137,139,142,144,146,148,150,152,165,150,107,148,159,161,162,164,165,166,167,168,168,99,109,118,123,127,131,134,138,140,142,144,147,149,151,152,167,154,113,138,159,162,165,166,166,167,167,168,169,100,110,119,123,127,132,136,139,140,143,145,146,149,152,153,162,160,127,127,162,163,164,166,167,168,169,169,170,102,111,120,123,129,133,137,139,141,143,145,148,154,131,150,163,171,140,114,163,165,165,167,168,169,169,170,171,103,114,122,125,130,134,137,140,143,144,146,152,158,114,119,163,171,147,108,161,166,167,168,169,170,172,172,173,104,115,122,126,130,135,137,140,143,144,147,161,147,115,94,159,163,142,105,157,167,169,169,169,170,171,171,172,106,116,123,127,130,136,146,124,115,112,124,152,157,131,95,142,157,132,103,147,167,170,170,170,172,173,173,173,107,117,123,127,131,138,139,109,85,80,81,98,158,142,101,115,144,120,103,136,168,170,171,172,173,175,175,175,108,119,123,128,133,137,134,112,89,80,93,86,138,152,114,106,125,106,103,123,170,171,172,173,174,175,176,175,109,118,124,129,133,138,141,142,139,120,96,80,129,158,125,96,100,93,102,110,171,171,173,174,175,176,175,175,109,119,123,129,134,139,141,142,167,153,100,77,147,163,130,85,79,89,101,103,171,173,174,175,176,176,175,176,109,119,123,129,133,136,141,142,171,154,104,66,162,165,135,92,73,89,100,92,163,173,175,175,177,176,176,176,111,120,124,129,134,138,156,159,171,159,105,63,178,168,134,97,73,86,96,86,153,174,175,176,177,178,178,178,112,121,125,129,134,138,167,168,164,151,105,106,178,162,130,93,73,80,90,79,144,174,175,176,177,178,178,179,113,120,125,131,134,138,153,169,157,150,123,178,171,155,134,96,77,79,82,79,160,174,175,176,178,179,179,179,115,120,125,131,136,139,144,151,136,157,162,194,173,149,131,100,80,78,77,99,173,174,175,176,178,179,179,180,115,121,126,131,136,140,144,155,135,168,189,190,170,145,125,101,81,75,72,135,174,175,176,176,178,180,180,180,115,121,126,130,135,140,144,169,156,150,190,184,167,143,124,102,82,72,76,163,174,176,176,177,179,180,180,179,115,121,126,131,135,139,144,181,168,143,188,181,166,141,122,103,83,71,103,173,174,175,177,178,179,180,180,180,116,122,126,131,134,140,147,188,178,160,191,178,166,144,123,105,82,69,143,173,174,176,178,179,179,179,180,181,116,122,126,131,135,140,149,192,183,171,184,179,173,147,123,105,80,82,169,174,175,177,178,179,180,180,180,181,117,122,127,133,136,140,149,191,178,176,181,177,178,152,121,103,78,111,173,174,175,176,177,179,180,181,181,182,117,121,126,132,136,140,148,184,172,173,179,177,178,154,121,99,74,145,172,174,176,177,178,179,180,181,181,182,117,122,127,133,136,140,147,170,170,181,181,176,175,150,118,94,90,169,173,174,176,177,178,179,180,181,181,182,116,121,127,132,136,140,145,176,181,186,181,171,169,145,114,88,117,171,173,174,176,177,179,180,181,180,181,182
2,198,199,199,199,199,199,199,199,198,198,197,196,199,192,194,196,195,195,193,191,191,190,189,187,186,185,183,181,201,201,201,201,201,201,201,200,200,200,200,208,204,159,173,196,197,194,195,194,194,193,191,190,189,187,185,184,203,204,204,205,205,204,203,203,202,204,222,211,166,128,132,177,184,157,188,198,196,195,194,193,192,190,188,187,205,206,205,206,207,206,206,205,213,230,220,161,129,117,125,150,153,126,165,194,197,196,196,195,194,193,190,189,207,207,207,207,208,207,207,220,245,229,180,131,121,114,109,116,120,114,118,164,198,199,198,196,195,194,193,191,208,208,208,209,209,208,209,241,236,180,137,114,114,116,111,98,110,119,112,120,167,203,200,198,196,195,194,193,209,210,210,211,211,209,223,248,203,138,111,98,99,107,109,109,110,113,112,113,165,203,200,200,198,197,196,195,211,212,212,213,213,216,244,230,171,130,113,104,95,111,126,130,120,131,144,169,199,203,202,201,200,200,198,196,214,214,214,214,214,235,242,191,141,116,116,114,108,120,124,134,173,196,203,207,207,205,203,202,202,201,200,198,215,215,216,214,229,251,230,172,130,109,113,112,119,119,150,193,210,212,211,210,209,207,206,204,204,203,201,200,216,217,216,220,249,250,214,165,136,123,112,113,125,155,212,215,214,214,213,212,211,209,208,207,206,204,202,201,218,219,217,231,255,240,195,154,135,131,121,116,126,181,220,216,215,215,215,214,212,211,209,209,208,206,205,203,220,221,220,245,254,229,181,144,132,130,126,119,141,210,220,218,215,216,215,215,214,213,211,210,209,208,206,205,222,221,231,254,249,214,169,141,129,127,126,126,180,223,221,220,218,217,217,216,215,214,213,212,210,209,208,207,223,223,246,255,240,197,156,137,131,126,125,135,209,223,222,222,220,219,218,217,216,216,214,214,213,211,209,209,224,234,254,253,227,183,147,134,131,129,123,154,224,223,224,223,222,221,220,219,218,217,217,215,213,212,210,209,225,247,255,247,211,166,139,132,129,126,114,170,229,226,225,225,223,222,221,221,219,215,211,207,209,214,212,212,236,254,254,235,191,152,136,128,121,116,109,142,217,229,226,225,224,224,223,220,210,195,187,175,163,207,214,214,250,255,249,217,180,153,139,123,113,113,116,118,155,213,228,227,226,225,222,201,195,185,169,149,161,210,216,215,254,254,242,207,180,157,137,116,109,117,119,126,133,149,184,208,203,197,197,191,193,169,156,186,213,218,217,215,255,254,240,205,176,154,132,115,116,129,136,147,154,147,147,170,178,188,193,192,181,155,199,222,221,220,219,218,194,200,204,186,166,143,125,118,125,140,153,158,166,164,158,178,182,186,183,169,152,177,223,224,222,221,220,219,100,99,92,91,100,97,97,107,128,146,156,163,168,169,159,171,166,164,169,181,198,220,226,225,224,222,220,219,95,86,70,67,73,69,62,68,95,136,154,161,163,158,145,153,178,205,220,228,230,228,227,226,225,224,222,221,91,81,68,69,73,66,59,55,57,87,141,153,150,152,179,211,230,234,232,232,232,231,229,227,227,226,225,223,86,78,70,70,69,62,56,52,53,55,99,149,176,215,233,236,235,234,234,233,231,231,230,228,227,227,225,224,82,77,70,70,67,60,54,51,53,52,99,212,234,237,236,236,236,237,235,234,234,232,231,230,229,228,226,225,81,75,69,69,65,59,53,51,55,56,169,241,237,237,237,237,237,236,235,235,235,233,233,233,230,229,228,227
7,190,192,195,196,199,201,202,203,203,204,204,205,206,206,207,206,205,205,205,205,205,205,203,201,200,199,196,195,193,195,197,199,202,202,204,207,206,206,207,207,208,208,208,208,207,207,207,207,207,208,205,204,202,200,199,198,195,198,200,201,203,204,206,208,208,208,209,208,209,208,208,209,209,209,208,208,208,209,208,207,206,203,201,199,196,199,201,202,205,207,207,208,211,210,211,211,211,211,211,212,211,212,212,211,210,211,210,208,208,206,204,203,198,200,202,204,206,208,209,211,213,212,212,213,213,214,215,215,215,214,213,214,213,213,212,211,209,207,206,205,199,201,205,207,208,211,212,213,213,215,215,215,215,216,216,215,216,215,216,215,216,215,213,211,210,209,208,207,200,205,208,210,211,213,213,214,216,216,217,217,218,218,217,216,217,218,218,217,218,216,215,214,213,212,211,209,203,207,210,211,213,214,215,216,218,218,218,218,218,220,220,219,220,220,220,220,219,218,217,216,215,215,213,210,207,208,210,213,215,216,217,219,220,219,222,223,220,221,222,223,222,222,222,221,221,219,218,217,216,215,215,213,206,208,212,215,217,219,218,218,223,224,213,218,222,222,222,223,223,225,225,223,221,221,217,217,220,217,216,215,207,211,214,215,216,218,223,230,237,231,193,176,199,214,212,211,214,218,212,216,210,216,203,243,225,211,219,216,209,212,213,218,225,232,234,235,237,235,219,165,167,191,199,199,197,188,191,195,193,200,187,196,180,216,221,218,209,218,229,236,237,235,231,226,219,217,203,164,153,166,185,196,197,198,192,183,188,189,175,183,179,209,221,216,233,238,237,237,230,225,218,206,202,216,218,175,146,142,146,159,172,179,168,174,182,183,179,194,186,194,190,202,245,236,231,224,215,211,207,208,212,222,218,178,152,159,158,151,139,124,160,169,166,167,162,165,174,174,184,219,241,232,222,210,202,198,199,199,208,216,194,162,143,149,166,173,162,140,174,241,229,225,225,225,223,226,230,227,236,230,222,209,199,199,200,194,195,210,206,167,131,130,147,151,155,142,157,240,232,233,232,231,230,230,228,227,232,229,224,214,207,204,206,205,202,216,218,177,152,160,159,151,147,119,214,241,233,235,232,232,231,230,230,228,225,220,218,217,214,209,206,203,203,208,208,179,163,172,169,162,144,171,246,234,235,233,233,233,233,232,231,229,211,209,212,215,216,211,204,199,200,192,172,159,140,136,145,153,129,224,237,236,236,234,234,234,232,231,231,235,128,142,173,206,213,202,191,179,166,155,150,147,90,84,110,130,158,243,236,237,237,235,233,233,235,240,236,171,48,50,65,101,149,167,154,163,173,200,225,239,147,107,139,164,227,241,239,239,238,237,236,242,223,202,167,109,48,43,38,36,38,74,210,233,241,243,239,243,229,203,228,242,242,240,240,240,238,242,241,194,133,115,98,90,40,37,35,37,15,97,255,233,237,236,238,239,241,245,241,238,239,240,239,238,242,221,141,100,108,106,95,85,35,32,28,29,10,87,254,234,239,239,240,240,240,239,240,241,241,239,238,244,246,148,91,68,85,89,82,80,32,32,31,35,0,80,249,227,235,237,239,239,241,241,242,243,245,244,247,228,142,119,100,64,57,79,74,71,41,41,36,24,0,47,151,143,146,151,153,156,160,163,164,167,169,167,178,150,76,106,98,55,49,61,65,63,52,45,29,5,0,41,120,114,113,115,116,117,117,118,120,118,117,122,140,121,65,98,92,51,44,54,57,59
23,157,157,158,158,159,159,160,160,159,160,161,161,160,160,160,160,160,160,159,160,160,158,158,157,157,156,154,153,160,161,160,162,162,163,163,164,164,164,165,164,163,163,163,163,163,164,163,163,162,161,160,159,159,159,157,155,163,164,165,166,166,167,168,168,168,169,167,166,167,166,165,169,169,167,166,165,166,165,163,163,162,161,160,159,167,167,168,170,169,169,171,172,171,170,178,169,171,174,171,142,162,177,169,169,169,168,166,166,165,164,163,162,171,171,172,173,173,173,174,176,172,178,207,182,172,189,176,144,113,159,179,172,172,171,170,169,168,167,166,165,174,175,175,176,177,176,178,179,175,197,197,167,109,126,117,140,142,124,147,178,174,174,173,172,172,171,170,168,177,177,178,179,179,180,180,181,182,205,188,154,93,157,164,149,123,105,115,182,177,176,177,176,175,174,173,171,179,180,181,181,182,183,183,181,193,192,191,134,147,192,151,179,174,162,177,184,180,180,179,179,178,177,176,175,182,183,183,184,185,186,188,185,195,188,192,197,203,181,107,145,203,187,187,186,185,184,181,181,181,180,179,178,184,186,186,186,188,181,170,175,179,188,190,188,183,173,107,94,171,191,187,187,187,186,185,184,182,181,180,180,187,189,188,190,186,166,142,151,160,163,159,159,153,141,107,53,66,166,196,188,189,187,186,187,186,185,183,182,188,190,190,189,192,184,181,170,175,168,156,150,132,82,75,54,45,144,203,190,192,191,189,189,189,188,186,186,190,191,193,189,188,194,192,183,162,118,114,121,117,70,72,53,59,182,198,193,194,194,192,192,191,189,188,187,193,194,195,192,178,180,198,182,117,91,50,96,130,71,73,53,96,207,196,197,196,195,194,194,193,192,190,188,195,195,198,196,178,174,203,178,103,57,40,123,135,77,69,38,114,212,196,199,198,197,196,196,195,194,192,190,196,197,199,198,179,172,205,184,126,63,63,111,84,68,55,42,97,209,199,200,199,199,199,198,197,196,195,194,199,199,201,200,176,174,213,188,127,84,42,37,33,42,49,56,90,207,201,201,200,201,200,199,198,198,196,196,200,199,202,199,169,187,217,188,130,98,53,31,46,52,61,62,110,213,202,202,203,202,202,199,199,200,199,198,201,202,204,199,171,190,208,189,138,103,81,61,76,75,76,65,123,217,203,205,203,203,202,201,201,201,201,200,203,206,206,205,175,180,192,174,128,104,93,69,82,81,80,66,146,219,204,207,206,204,204,203,202,201,200,200,205,206,208,208,179,172,176,159,134,129,100,74,81,81,81,72,186,216,207,207,208,207,207,206,204,202,202,200,206,207,208,211,185,176,175,158,140,129,96,78,82,88,72,109,218,210,210,208,209,209,208,207,206,205,203,201,207,208,209,211,190,189,174,156,131,110,89,81,84,86,79,189,219,211,211,210,210,209,208,207,207,206,205,204,208,208,210,208,195,202,180,162,143,111,86,79,80,81,178,223,213,213,213,213,212,211,209,208,208,207,206,205,208,208,212,207,196,201,178,165,149,105,78,78,67,153,229,214,216,214,215,214,213,213,212,210,210,208,207,206,209,211,215,208,195,182,166,153,129,83,71,73,82,209,218,217,217,215,215,215,214,214,213,212,212,209,208,207,211,212,214,205,195,168,155,150,141,80,75,70,115,224,216,219,217,215,217,217,216,215,215,213,212,212,210,209,210,212,212,202,205,171,152,165,167,87,80,70,131,231,217,219,218,217,218,217,216,216,215,214,213,214,210,202
15,75,86,97,101,103,108,116,124,129,135,139,144,147,149,153,156,158,163,165,168,171,173,174,176,178,179,180,181,78,87,97,101,103,108,117,124,129,136,141,144,147,150,154,156,161,163,166,170,173,174,176,178,180,181,182,183,78,88,98,102,105,111,118,125,131,138,142,144,147,151,155,159,163,165,170,172,173,175,178,180,181,181,183,184,80,90,101,104,107,114,120,127,133,137,141,146,149,153,156,160,164,167,171,172,173,176,179,181,182,182,184,185,80,91,99,102,107,112,120,128,133,138,143,146,149,154,157,160,164,166,170,172,176,178,180,181,181,183,185,185,91,97,108,110,113,122,128,132,129,134,138,142,148,154,157,160,164,170,174,173,176,180,181,184,184,185,185,187,127,113,120,122,123,136,144,147,152,149,140,136,138,140,151,151,145,146,157,176,180,179,183,185,185,186,186,187,108,86,93,102,118,135,139,149,168,160,150,151,155,164,159,160,161,135,118,108,160,187,181,185,185,187,188,188,72,70,79,82,90,104,112,130,160,169,167,168,168,172,176,159,155,175,124,89,77,150,191,184,186,187,188,188,86,100,104,102,105,109,114,116,126,142,159,181,185,152,155,164,122,184,123,91,108,84,150,193,182,188,187,188,85,96,103,105,112,120,123,135,125,105,113,119,149,146,125,136,112,189,127,79,125,132,67,157,189,185,187,189,87,98,105,105,111,117,123,156,116,94,83,96,131,141,102,96,103,146,123,101,124,134,79,68,184,187,186,187,87,99,104,105,112,114,139,172,95,81,92,115,148,139,107,94,104,92,93,109,127,113,68,40,100,198,183,187,88,99,103,106,111,117,133,185,110,80,115,128,144,129,102,96,98,97,96,113,129,125,71,46,38,124,195,190,88,99,105,105,113,115,152,190,184,140,116,100,105,97,78,79,81,93,109,122,126,121,81,50,47,42,109,186,87,98,104,106,111,114,165,191,176,187,156,94,38,32,33,26,33,56,91,112,106,98,73,60,59,52,39,77,87,98,103,105,112,117,143,188,179,158,167,177,87,0,12,4,9,18,51,100,107,101,91,88,74,61,55,46,75,81,87,92,97,100,106,166,182,156,148,184,97,21,13,7,18,11,48,114,126,124,117,109,90,68,58,57,52,55,58,57,61,57,69,186,172,153,139,136,57,28,17,11,23,21,35,93,117,121,119,110,92,70,57,63,62,62,63,63,66,67,68,156,188,160,119,110,88,34,18,20,25,34,45,61,88,99,106,101,89,70,60,62,63,61,63,66,66,69,66,79,130,150,132,117,108,56,27,27,23,33,50,54,68,91,97,90,76,70,67,63,63,63,65,65,66,68,70,67,68,75,77,77,68,60,37,32,22,28,48,59,49,74,88,85,75,71,69,68,63,63,65,66,67,66,68,69,69,72,70,70,69,75,71,55,54,47,58,73,63,63,79,74,70,63,64,68,62,62,63,66,67,67,70,70,70,73,74,75,76,86,91,108,104,85,102,112,118,107,100,92,69,58,73,77,62,62,63,64,66,68,69,69,70,72,73,74,74,73,72,101,93,118,149,151,143,136,118,104,80,77,98,95,61,62,62,64,66,68,68,68,70,73,73,73,74,75,73,72,72,90,117,130,136,113,93,81,88,98,101,118,61,63,63,64,66,66,69,69,69,70,71,72,72,71,73,75,76,76,70,86,98,81,96,106,98,88,103,133,61,62,63,64,65,65,68,68,68,68,69,70,71,72,73,74,74,75,76,76,73,91,115,117,88,95,114,135
3,172,174,177,178,180,181,183,182,182,182,182,181,181,181,182,180,179,177,175,175,173,170,168,164,162,161,159,156,173,175,178,180,181,181,184,183,183,184,183,182,181,181,180,183,181,179,176,175,172,171,169,166,163,161,160,157,174,176,178,181,181,182,183,184,184,183,184,183,181,187,159,137,184,178,178,176,174,172,169,167,165,163,161,159,174,177,179,182,181,183,184,185,184,185,184,184,183,190,157,96,175,181,177,176,175,173,170,167,165,163,161,160,176,177,180,183,184,185,185,185,185,186,185,184,184,189,157,90,161,186,178,177,175,174,171,168,166,165,164,162,177,179,182,183,185,186,187,187,188,188,188,186,184,189,152,82,158,188,179,179,176,175,173,170,168,167,164,163,179,181,184,186,187,189,190,190,191,191,191,190,188,193,170,93,149,191,180,180,179,177,175,173,171,168,166,165,181,183,186,188,189,191,192,192,192,192,192,192,190,187,157,90,137,195,182,182,181,178,176,174,173,171,168,167,182,185,187,190,191,192,194,194,194,194,194,191,196,175,132,88,127,193,185,183,182,180,179,176,174,172,170,168,183,186,190,192,193,195,196,196,197,197,197,194,201,208,179,119,152,144,175,189,183,182,180,178,176,174,172,170,184,188,191,194,196,197,198,199,199,198,200,194,150,147,182,136,171,109,129,199,183,183,181,180,177,175,173,171,186,190,193,195,196,197,199,200,201,199,193,197,153,107,131,141,149,134,78,143,193,184,184,182,179,177,174,173,187,191,194,195,197,198,199,200,201,201,145,134,183,143,102,143,148,145,105,83,164,192,184,183,180,178,176,173,189,192,195,197,198,199,201,202,204,197,161,122,147,169,109,129,134,132,128,81,147,198,185,184,181,180,177,175,189,194,196,198,199,200,203,204,204,163,174,153,118,158,121,73,67,140,137,77,163,197,187,185,183,181,178,176,190,194,197,199,200,202,202,208,189,131,128,154,93,119,113,62,56,138,143,83,175,196,189,186,184,182,180,177,191,193,197,199,201,203,203,209,187,140,91,129,71,94,129,89,89,149,141,83,179,196,190,188,185,184,181,178,192,194,198,200,202,203,205,204,169,131,94,104,92,83,133,92,134,153,125,82,186,197,191,189,188,185,182,179,192,195,199,202,204,205,206,203,183,155,109,89,92,105,155,147,157,137,87,104,204,194,193,191,189,186,182,180,193,196,199,203,204,205,208,205,190,166,124,110,99,160,200,181,145,123,70,154,207,193,194,193,189,187,183,180,195,197,199,203,204,206,208,204,188,169,137,116,111,179,183,161,141,113,82,192,200,196,194,193,190,188,184,182,194,197,200,204,205,206,208,205,178,162,141,126,122,178,175,155,136,91,111,212,198,197,195,194,191,189,185,182,192,197,200,204,205,207,210,211,182,165,153,142,128,167,169,145,117,72,166,211,199,199,198,195,193,190,187,184,193,197,202,204,205,208,210,214,198,170,164,146,124,144,147,123,81,98,213,203,201,199,198,196,193,191,188,185,193,197,202,205,206,208,210,212,207,183,165,147,129,126,130,108,64,168,214,203,204,200,198,196,194,191,189,186,194,198,202,205,207,209,209,212,209,192,161,151,145,132,125,87,94,212,205,205,204,201,198,196,194,192,190,186,193,197,201,204,206,210,211,212,199,190,172,168,153,134,115,71,129,219,203,206,205,204,200,196,195,193,191,188,192,197,201,204,207,210,211,211,189,195,183,168,148,124,101,64,158,218,204,204,203,202,199,197,194,192,190,187
4,135,136,138,139,140,142,144,147,148,150,151,151,152,154,156,157,158,159,160,161,162,162,162,160,162,163,165,165,134,136,138,140,140,143,145,147,149,150,150,152,154,153,155,157,158,159,161,161,162,162,163,165,165,164,165,166,135,137,140,140,143,144,145,148,149,150,151,152,155,155,153,154,160,160,161,161,162,163,164,166,166,166,166,166,135,137,141,142,143,144,146,148,151,156,152,143,145,167,156,134,127,160,159,163,163,163,165,166,166,166,167,168,136,139,141,144,144,143,146,148,150,159,167,148,108,137,162,126,94,114,134,123,155,165,166,167,167,167,168,169,137,140,141,144,143,147,174,164,141,108,155,147,103,105,153,117,83,90,120,89,113,172,168,168,168,168,168,168,138,141,143,144,142,164,195,175,129,93,135,145,104,87,147,141,82,88,125,97,99,172,167,167,169,169,169,170,138,140,144,146,143,177,166,178,136,98,114,157,115,67,141,154,91,90,144,103,98,174,167,169,171,171,170,171,139,142,144,145,145,185,153,152,155,116,79,156,121,46,105,164,132,106,126,106,107,152,171,170,171,171,171,172,140,143,144,145,150,184,153,134,125,98,56,92,98,47,71,152,141,125,119,119,121,109,165,171,171,172,173,173,141,143,147,145,158,182,158,140,122,103,91,75,98,85,84,127,143,139,126,116,123,122,140,174,172,173,174,174,143,144,147,143,178,179,153,129,119,106,92,94,117,101,111,124,134,127,111,131,155,135,115,174,172,174,174,175,142,145,148,146,189,172,147,124,110,94,90,103,119,113,125,142,126,98,127,170,162,145,109,164,175,174,175,175,143,146,147,154,197,170,148,125,113,98,96,106,115,126,134,149,150,154,151,152,149,139,109,142,178,176,175,175,144,147,147,160,200,173,153,133,112,100,96,109,123,136,142,154,169,168,159,148,132,116,101,110,180,176,175,175,145,146,145,168,203,174,157,140,116,101,102,106,128,144,161,168,171,163,158,144,128,109,91,95,179,177,177,176,147,148,144,173,204,173,161,144,128,113,110,110,137,162,176,175,167,156,151,140,123,104,86,103,181,178,178,177,145,149,144,177,206,181,167,153,141,121,115,130,149,177,182,176,167,153,141,131,115,100,80,142,183,177,179,180,149,150,146,173,207,189,173,162,152,137,126,146,153,173,179,172,165,153,136,120,100,85,95,177,179,178,179,180,149,149,148,165,211,195,180,164,157,146,136,146,157,173,177,168,164,155,135,114,91,76,146,182,178,179,179,180,148,150,150,155,211,198,179,162,154,145,142,148,159,175,175,162,158,154,134,118,87,107,181,179,178,178,179,180,150,150,151,150,209,198,174,166,158,151,151,154,165,170,165,156,147,144,135,114,88,165,182,180,180,179,180,181,149,151,151,151,210,193,174,176,168,161,158,156,162,165,153,147,139,136,127,95,137,183,179,180,180,179,180,182,150,151,150,156,211,184,179,183,174,171,165,156,159,161,150,141,132,120,100,122,180,180,179,180,180,180,181,182,150,151,149,163,210,194,183,179,174,176,169,154,152,153,146,134,120,98,108,178,179,180,179,180,181,181,182,182,149,150,148,171,212,203,179,173,175,180,169,147,144,143,140,126,108,84,159,180,178,179,180,180,181,181,181,182,149,150,147,181,209,203,179,171,176,176,163,145,136,140,134,117,92,106,184,177,178,178,180,180,181,181,181,182,149,152,147,188,210,204,176,169,173,172,157,143,134,143,129,109,81,141,183,179,178,180,181,181,181,181,181,182
3,122,125,128,130,132,135,136,138,138,138,138,137,136,136,136,136,134,132,133,130,129,129,127,125,123,122,119,117,124,128,131,132,136,138,139,140,142,141,141,140,139,139,138,137,144,134,114,135,131,130,129,128,125,123,122,120,126,130,133,135,139,141,142,143,143,143,143,143,142,142,141,136,160,137,64,128,136,132,131,130,128,126,124,122,128,132,135,137,140,142,144,145,146,145,144,144,145,144,144,139,159,136,58,110,142,135,133,132,130,128,126,123,131,135,137,140,142,144,146,148,148,146,146,147,146,147,146,141,157,138,62,105,146,135,137,135,133,130,128,126,132,136,139,142,144,146,148,151,151,149,149,149,150,148,147,143,159,165,82,95,147,139,138,136,134,131,129,127,134,138,141,143,146,148,151,152,153,152,152,151,152,150,150,144,164,173,86,79,147,141,139,138,136,133,131,129,136,139,143,146,150,152,153,154,154,155,155,154,154,153,153,148,166,166,80,71,147,141,142,140,138,135,133,131,137,141,145,148,152,154,155,156,157,156,156,155,155,155,155,148,175,173,88,73,148,144,143,142,139,136,134,132,140,144,148,151,154,156,158,158,159,159,159,158,156,156,154,151,146,140,86,69,148,147,145,144,141,138,136,134,142,147,151,154,155,159,160,161,162,161,161,160,158,155,167,172,97,58,47,63,155,146,147,145,143,140,137,135,144,149,153,155,159,161,163,163,164,164,163,165,172,157,110,121,149,96,30,88,166,153,149,147,145,142,139,136,147,152,155,158,161,163,166,166,168,164,169,134,153,157,85,55,174,107,66,69,104,126,151,148,146,144,140,138,148,154,157,160,162,165,167,170,168,173,181,121,72,139,120,67,132,110,86,67,93,71,122,156,146,144,143,139,151,156,159,162,164,167,168,169,172,194,177,155,95,106,134,63,85,127,111,85,100,53,103,161,148,147,143,141,153,158,161,164,166,169,171,169,186,177,169,166,105,77,117,61,81,92,66,86,79,41,98,164,150,149,145,143,154,159,162,166,168,169,173,171,199,184,144,149,107,58,96,59,84,142,52,100,111,47,87,166,151,151,147,145,155,160,163,168,169,171,174,175,183,165,127,136,83,42,93,41,82,180,68,78,125,52,60,163,153,152,149,146,156,161,166,168,171,174,176,175,181,188,163,133,78,66,88,59,55,123,75,82,97,46,54,161,155,154,151,148,158,163,166,168,173,174,176,177,190,195,179,135,83,67,100,84,124,162,123,104,68,31,105,169,156,156,153,151,156,163,167,170,174,175,178,177,187,199,187,141,99,77,83,145,171,144,101,80,61,39,157,163,159,157,154,153,155,162,167,170,174,175,177,177,183,196,181,138,133,87,111,185,155,113,89,75,51,84,173,158,159,156,154,152,156,163,169,171,175,177,179,179,184,188,175,151,139,104,105,148,137,101,85,63,42,143,168,160,160,156,153,150,157,165,169,173,176,179,178,191,90,141,179,153,137,111,82,104,100,81,64,43,113,175,164,162,159,157,160,160,158,164,168,172,174,176,182,172,30,46,143,150,137,90,62,61,66,66,44,109,176,166,170,173,173,164,134,84,162,170,174,176,180,180,196,111,30,32,41,87,96,53,50,47,52,35,29,173,180,176,152,117,101,67,25,8,115,116,120,121,121,122,120,55,36,32,24,20,29,50,49,30,26,5,0,51,95,60,21,0,0,0,0,6,81,82,83,83,81,82,61,38,44,27,26,21,19,5,0,0,0,0,0,0,0,0,0,0,2,1,0,0
19,166,166,167,169,170,171,172,172,172,173,173,172,172,171,171,171,170,169,168,167,166,166,165,165,164,163,163,162,166,167,169,170,171,172,173,173,173,174,174,173,173,172,172,172,171,170,169,169,168,167,166,166,165,165,165,164,167,169,170,171,172,173,174,174,175,175,175,174,174,174,173,173,172,171,171,170,170,169,168,168,167,166,165,165,168,169,171,172,173,174,176,176,177,177,177,176,175,175,174,174,174,172,172,172,171,171,170,169,167,167,166,165,169,170,171,173,174,176,177,178,179,179,178,178,178,177,176,176,175,174,173,173,172,172,171,170,168,168,167,167,170,172,172,174,176,177,178,179,179,179,179,179,179,179,178,177,176,175,174,174,173,172,171,170,169,169,168,168,171,172,174,176,177,179,180,181,181,181,180,180,179,179,178,178,178,177,176,175,175,174,172,172,171,170,169,169,172,174,176,178,179,180,181,182,182,181,181,181,180,179,173,166,170,176,176,176,176,174,172,172,169,163,168,169,173,175,177,179,180,181,182,183,182,182,181,181,181,181,168,149,155,174,171,171,173,171,168,166,155,136,160,170,175,176,178,180,181,182,183,183,182,178,174,176,178,180,173,165,169,174,168,169,176,170,160,147,130,128,161,172,176,177,179,180,181,183,183,184,180,168,162,166,170,171,165,156,149,148,144,151,161,152,138,132,139,157,171,174,176,178,180,181,182,183,183,183,173,166,168,169,165,161,152,139,120,110,110,126,149,152,156,163,170,174,174,175,178,179,181,182,183,182,191,197,186,181,180,175,166,152,127,108,102,91,98,144,173,177,178,178,178,176,175,176,180,180,182,183,185,184,204,212,194,178,168,161,155,141,114,93,94,89,102,159,181,181,180,179,178,178,177,177,179,180,182,184,185,185,203,206,182,154,133,121,121,128,115,96,94,91,108,165,182,182,181,181,179,179,179,178,179,181,183,185,185,183,193,196,169,131,107,87,95,128,120,100,97,94,118,172,184,183,183,182,181,180,180,179,180,181,184,185,186,180,188,194,167,129,96,78,103,124,112,99,96,96,127,178,186,185,184,184,183,181,180,179,181,182,184,186,187,179,186,196,172,139,108,86,86,87,83,84,88,94,118,173,187,186,185,184,183,182,181,179,182,184,186,187,188,179,184,196,175,145,118,99,81,65,61,68,80,89,105,164,187,187,186,185,184,183,181,180,183,185,187,188,188,178,180,193,174,147,122,107,97,82,73,78,87,93,104,158,187,188,187,185,184,184,183,182,183,185,187,189,189,179,177,190,172,145,123,110,104,93,85,88,94,99,108,161,188,188,187,186,185,185,184,184,183,185,187,190,190,181,176,188,170,143,122,110,105,96,88,91,97,102,117,169,189,189,188,187,186,186,186,185,184,186,188,190,191,184,179,185,166,140,121,109,105,99,94,96,102,107,132,180,191,190,189,188,187,187,186,185,186,187,188,190,192,186,184,188,166,140,122,111,105,104,103,104,108,115,154,188,191,191,190,189,188,188,187,186,187,188,189,191,192,185,187,190,170,145,126,113,107,108,109,110,117,140,178,192,192,192,191,190,189,188,187,187,186,187,188,191,192,182,187,188,170,151,130,114,108,110,111,119,148,177,191,193,192,191,191,190,189,189,188,187,185,187,187,189,189,184,189,183,165,148,130,114,109,109,109,135,178,192,193,192,191,190,190,189,189,188,187,186,185,187,188,189,188,189,194,185,166,147,131,116,108,106,108,145,185,193,193,192,191,190,190,189,188,187,186,186
17,159,161,163,164,165,167,167,168,169,169,169,170,169,168,168,168,168,166,165,166,164,164,163,161,160,158,157,155,160,162,165,167,168,168,169,170,171,171,171,171,171,171,170,170,170,169,168,168,166,165,164,163,162,160,158,156,162,166,167,168,170,171,171,171,172,173,173,174,174,173,172,171,171,170,171,170,169,168,166,165,164,162,160,159,164,167,169,170,172,173,172,173,174,174,175,176,176,176,175,172,175,174,170,173,171,170,168,167,165,164,162,161,166,169,170,172,172,174,175,175,176,176,177,178,177,178,174,182,184,151,143,177,172,171,170,170,167,166,164,163,167,170,172,173,174,176,177,177,177,178,178,178,178,179,174,189,207,130,120,180,173,174,172,171,170,168,166,165,170,171,173,175,176,177,179,179,180,180,180,180,180,181,179,180,217,158,126,181,175,176,175,173,172,170,169,168,172,173,176,177,178,178,180,181,182,182,182,183,183,182,182,182,226,189,138,179,178,177,176,175,173,173,172,170,173,176,177,179,180,181,182,183,183,183,183,184,185,183,182,189,233,207,142,169,182,178,178,177,176,175,173,172,175,177,178,181,183,183,184,184,185,186,187,186,185,185,181,201,228,209,144,159,187,180,179,178,178,177,175,174,176,179,181,183,184,184,184,186,187,186,185,186,206,207,175,176,216,218,149,150,189,181,182,179,178,178,177,175,177,180,182,184,186,185,187,187,187,189,193,187,224,216,196,157,177,201,161,144,189,183,183,182,181,179,179,177,179,181,183,185,187,187,189,189,187,218,233,190,174,207,204,213,208,159,135,139,189,185,185,183,183,180,179,178,180,183,185,186,188,188,189,189,193,220,210,202,160,173,158,207,218,176,119,124,189,187,186,185,183,183,181,180,182,184,187,187,188,189,191,191,197,219,154,171,189,127,107,130,218,203,138,107,182,191,187,186,184,184,183,182,182,185,187,188,189,191,193,191,201,214,168,158,150,129,128,108,205,227,167,102,164,195,187,188,186,185,184,182,185,187,188,190,191,193,195,192,204,226,201,169,149,148,156,140,194,233,187,116,157,196,188,189,188,185,184,184,187,187,188,191,193,194,195,192,208,225,176,155,158,172,175,184,221,227,194,130,154,200,190,190,191,194,193,184,186,188,190,192,193,194,195,193,207,224,191,172,170,187,183,220,233,214,184,134,152,202,191,194,183,154,147,125,186,188,190,192,193,193,195,194,204,233,207,182,169,189,200,230,233,210,172,130,157,200,193,187,124,109,107,103,187,188,190,192,194,195,196,196,203,233,216,198,175,194,221,233,223,201,166,124,153,199,197,151,106,112,108,107,187,190,192,193,195,196,198,198,202,233,225,209,191,191,223,233,215,195,161,115,156,211,158,106,97,87,81,70,187,191,193,195,197,198,198,199,200,230,231,217,207,197,215,228,205,190,160,110,150,152,105,96,90,74,72,60,189,191,194,196,196,199,199,199,198,223,233,222,214,200,196,217,196,188,151,112,108,105,105,97,84,65,63,65,184,187,191,194,195,197,198,201,199,212,233,224,210,191,183,195,186,188,147,107,94,102,99,102,94,68,55,57,128,130,133,135,133,133,136,139,138,158,233,221,198,176,173,178,187,181,137,101,75,89,90,87,104,86,56,50,111,115,116,113,113,113,112,112,110,129,230,201,178,166,168,176,185,164,113,94,80,63,82,75,94,100,67,48,121,122,122,119,123,124,124,122,128,90,196,198,174,166,175,173,167,140,91,44,66,59,66,69,78,98,80,52
15,172,151,154,122,111,164,51,38,80,80,81,84,88,92,106,121,133,143,149,154,160,167,172,175,179,182,185,188,170,156,160,114,126,163,40,47,81,81,82,86,89,93,108,123,137,147,151,156,164,170,175,178,182,185,188,191,169,158,163,105,140,157,29,56,82,81,84,87,89,94,110,125,140,150,153,158,166,173,178,182,185,189,192,194,166,160,164,98,154,147,21,63,82,81,83,85,87,94,113,129,142,152,156,160,169,177,182,186,189,193,196,198,163,161,164,94,166,133,27,77,90,93,102,112,115,100,111,126,143,155,159,164,172,178,188,193,194,196,200,202,162,171,159,123,149,136,118,120,118,126,129,123,113,109,109,110,116,126,135,143,141,132,140,171,199,203,204,206,169,176,142,127,131,125,120,108,109,110,106,103,102,116,117,116,115,113,114,127,131,120,109,94,123,184,213,212,171,157,120,116,112,110,105,99,103,104,104,103,108,121,122,118,111,107,110,125,128,125,118,100,86,89,143,203,173,171,135,108,120,93,89,93,98,102,102,103,112,121,119,115,109,108,120,125,119,123,116,107,100,93,82,98,178,179,129,132,184,56,47,87,83,85,87,90,96,110,125,141,124,119,119,120,123,123,116,109,108,111,97,83,180,183,118,148,182,40,49,88,83,83,87,89,90,105,132,180,158,134,125,119,111,119,109,113,110,125,110,94,180,184,112,162,173,30,57,88,83,84,87,89,91,105,163,168,143,111,103,108,90,92,107,117,121,137,119,104,181,184,106,173,161,23,65,88,82,84,87,89,90,125,183,147,129,100,59,67,55,50,132,138,140,134,113,109,183,182,104,182,149,19,72,87,83,84,86,88,94,173,170,132,113,92,52,40,31,46,155,160,152,126,103,108,183,178,105,192,137,17,78,87,84,84,86,85,119,203,170,126,106,72,38,39,27,72,163,171,164,128,100,101,189,174,110,197,120,18,83,87,83,84,86,85,111,188,178,140,108,61,32,37,49,86,154,178,171,133,101,97,194,168,118,207,108,22,86,86,83,84,86,88,92,163,196,168,123,75,29,57,88,88,141,176,156,126,103,87,198,161,129,212,93,26,91,86,82,82,86,88,93,127,206,190,144,88,42,36,70,131,158,153,125,112,99,76,203,148,142,213,77,32,90,84,80,80,83,85,95,114,188,204,169,142,129,129,152,151,135,114,96,96,94,80,205,139,156,210,61,39,89,82,80,79,82,83,94,116,154,208,191,172,162,162,166,131,98,90,86,86,90,91,205,128,170,203,48,46,90,81,79,78,80,84,95,116,173,187,149,138,142,163,165,117,83,81,77,83,88,82,204,122,185,196,35,52,88,79,76,76,79,83,93,127,202,155,134,136,134,156,159,120,83,81,140,120,66,61,202,116,195,183,30,60,86,75,72,72,75,77,88,134,188,144,128,125,119,139,145,122,82,112,240,141,68,60,199,117,200,181,133,125,133,125,120,116,113,115,118,135,161,143,138,151,118,98,128,125,98,125,234,142,76,65,192,120,205,184,144,106,119,119,119,118,122,126,125,120,117,124,125,173,166,105,98,132,117,128,150,115,80,70,187,125,208,181,139,110,120,121,122,122,123,123,125,125,126,128,124,135,186,147,107,130,131,131,132,107,70,67,179,133,211,178,136,116,121,123,124,124,124,127,128,128,130,130,128,128,142,148,127,132,133,132,134,107,66,42,169,142,210,177,135,119,122,122,123,124,124,127,127,128,130,130,130,131,130,130,131,131,132,132,133,107,75,54
8,196,196,197,200,201,201,200,200,199,198,198,197,197,196,196,194,193,193,192,190,190,189,189,187,186,184,182,182,199,198,200,201,202,201,201,202,201,200,199,199,201,197,196,195,195,194,194,192,191,191,190,188,187,185,183,183,201,201,201,203,203,202,202,201,202,202,201,195,189,199,197,197,196,197,196,194,192,192,191,189,188,186,185,184,201,202,203,204,204,205,204,202,202,201,205,192,139,191,203,199,199,198,196,194,194,194,193,192,190,188,187,185,202,203,204,205,206,205,205,205,205,201,212,179,116,185,205,201,201,198,197,197,196,195,194,194,193,190,188,186,204,205,205,207,208,206,206,207,207,204,216,155,115,199,204,202,201,199,198,198,197,197,196,195,193,191,190,188,205,207,207,208,210,209,208,209,207,212,219,147,127,210,202,203,202,202,201,199,198,198,196,195,194,192,191,190,206,208,208,208,209,210,210,210,205,220,214,139,142,213,202,206,207,200,201,200,199,198,197,197,195,193,192,190,207,209,209,209,210,210,211,210,206,223,201,124,153,215,207,184,184,210,203,200,199,198,197,197,195,194,193,191,208,209,210,211,211,211,211,212,208,229,198,152,168,211,216,187,143,176,200,207,201,199,198,198,197,195,194,192,210,211,211,211,212,212,213,213,211,231,199,179,179,207,209,213,180,143,146,158,204,205,205,201,198,196,195,194,211,211,212,213,214,214,215,214,213,225,205,187,193,223,187,219,204,195,177,113,127,162,155,199,200,196,196,195,212,213,213,213,214,216,216,212,223,221,189,197,210,212,181,169,202,190,177,132,78,88,84,129,209,196,197,196,212,214,215,215,216,216,216,215,222,200,187,191,200,199,169,117,145,211,179,142,86,75,85,88,197,201,199,196,213,215,216,216,217,217,215,225,220,181,168,170,192,187,141,101,83,221,192,148,89,90,95,93,201,201,199,198,214,216,216,217,218,218,216,239,227,197,159,132,184,170,122,97,108,218,202,151,92,80,73,147,211,200,200,198,215,217,217,218,220,216,226,245,221,194,167,139,175,198,179,200,204,192,187,149,104,59,109,208,202,202,201,199,216,219,220,218,221,217,237,239,210,198,172,158,136,212,228,202,206,176,157,150,107,91,201,210,204,204,203,202,217,219,220,221,221,222,244,230,210,200,159,144,186,226,214,181,195,179,132,145,90,151,220,206,207,206,204,201,218,220,221,221,219,227,246,227,212,195,157,183,229,221,204,179,175,174,118,119,78,188,215,208,208,206,204,202,219,220,222,221,223,231,244,230,214,192,174,213,223,213,195,169,161,156,115,88,103,219,210,210,209,206,206,205,221,221,222,225,203,230,243,229,207,188,176,205,205,194,182,157,158,132,100,67,158,222,210,210,210,208,206,204,220,220,227,209,97,138,216,213,186,173,178,183,198,183,166,152,137,105,79,80,209,214,213,211,209,208,207,205,221,221,228,128,91,84,109,182,194,182,178,177,197,176,153,131,102,88,60,153,223,212,214,211,210,209,208,207,219,233,174,86,91,91,83,90,148,177,168,175,186,152,124,106,94,67,109,222,214,215,214,211,210,209,208,207,229,209,104,89,87,84,88,70,54,87,100,138,160,121,93,89,67,94,211,220,216,216,214,213,211,210,209,208,224,132,84,90,84,80,82,86,45,59,60,60,74,81,74,61,116,212,221,215,215,216,214,212,210,209,208,207,157,83,89,86,82,76,79,84,42,49,62,54,47,49,39,97,229,218,216,216,214,215,214,211,210,208,206,205
8,102,111,119,125,130,135,138,140,143,145,149,152,153,156,160,161,164,166,167,167,168,168,171,174,173,174,174,174,104,113,119,126,131,136,140,142,143,153,136,141,157,158,160,163,165,166,168,168,169,171,174,175,174,175,174,174,106,115,121,127,134,139,144,142,153,183,114,98,165,158,160,164,167,168,169,170,174,176,173,174,175,175,175,176,107,116,124,131,134,139,145,138,168,171,90,92,167,159,162,166,168,168,169,173,176,174,178,177,176,176,177,177,109,115,125,133,136,140,144,139,187,144,70,116,169,160,163,166,170,172,172,175,176,177,153,172,179,177,179,179,113,117,126,134,137,142,143,151,192,121,67,136,168,164,167,168,170,173,177,173,188,177,78,136,190,177,180,181,115,119,128,132,136,144,142,167,191,122,74,156,166,165,168,171,178,175,177,174,202,166,60,130,193,181,184,183,114,121,128,134,141,147,139,179,182,115,80,162,159,167,171,159,149,172,178,158,200,169,83,122,196,182,184,184,115,123,131,136,141,147,139,192,173,99,96,163,125,137,180,155,111,112,171,137,197,177,132,92,179,188,186,187,117,126,136,137,139,148,142,205,178,117,174,171,130,114,176,158,105,98,161,126,163,194,145,83,126,197,184,189,119,127,134,136,143,148,149,215,174,151,222,176,123,118,172,141,85,102,150,99,168,206,148,85,102,202,186,191,118,127,134,140,145,146,161,205,159,127,217,191,108,126,171,122,67,100,134,90,200,200,149,79,119,204,188,192,121,128,135,138,143,144,164,197,175,141,193,182,86,143,165,106,69,73,122,91,202,185,137,69,126,205,190,194,120,130,138,139,148,143,174,201,191,182,193,177,114,140,179,127,64,75,119,131,193,158,119,64,141,206,192,196,122,129,137,140,146,145,200,191,183,162,179,193,142,155,201,142,63,102,148,177,184,143,104,64,159,203,193,196,120,129,137,144,143,157,201,153,149,136,149,162,113,154,150,99,136,181,182,153,158,141,103,61,164,204,194,196,122,130,137,143,141,180,198,156,140,125,103,100,93,98,139,183,202,181,173,137,121,124,100,56,170,204,194,198,123,132,138,144,140,210,197,169,148,119,103,97,104,168,229,229,191,173,156,120,98,99,82,67,198,201,199,200,123,133,139,143,156,226,197,174,146,121,105,81,148,231,228,219,191,157,136,105,86,90,59,117,211,197,200,201,125,134,142,137,181,232,192,173,150,134,114,122,212,223,221,206,174,142,119,93,76,80,54,176,207,199,202,203,126,134,146,132,200,234,191,171,160,149,139,187,216,214,206,191,158,128,108,82,73,69,62,193,207,199,203,205,126,134,145,134,217,230,193,182,175,165,187,212,222,200,181,171,142,116,98,76,72,60,85,207,202,202,204,204,129,135,145,136,226,232,196,183,169,173,208,221,215,182,165,155,129,107,86,72,70,50,148,211,202,206,206,204,129,137,146,137,215,236,205,187,171,174,205,212,189,168,152,141,117,94,78,71,53,104,205,201,204,205,205,207,127,135,146,138,207,236,208,194,174,170,190,193,181,167,142,134,110,86,74,59,87,198,203,203,204,205,206,207,128,137,146,140,192,223,188,183,169,170,178,188,186,169,146,132,108,81,59,61,180,207,202,204,204,206,207,207,128,137,146,142,180,202,188,180,182,183,166,174,177,158,136,122,97,66,42,146,206,200,203,204,205,206,207,208,129,138,147,143,175,209,202,192,196,186,162,163,172,154,126,111,86,42,89,201,199,203,204,206,207,207,207,208
21,126,131,135,136,138,142,145,148,149,152,153,154,155,156,158,158,157,161,159,158,158,156,157,155,154,154,153,153,127,132,136,137,140,142,146,148,151,153,153,155,157,158,159,160,161,138,154,160,158,158,158,157,157,155,154,154,127,133,137,138,141,144,147,149,152,155,155,156,158,160,159,165,174,100,122,166,157,159,159,158,156,155,156,156,127,133,137,137,141,145,148,150,152,155,156,157,159,161,160,168,172,102,122,169,161,160,160,159,158,159,157,157,129,135,137,138,142,146,149,152,152,154,157,158,160,161,160,172,167,107,123,169,161,162,162,150,121,151,160,157,130,135,138,139,144,148,150,154,154,155,158,160,160,161,161,175,166,108,125,172,163,164,161,138,93,142,164,158,130,136,139,141,144,148,151,154,156,158,160,161,162,164,162,176,166,114,126,172,164,163,158,132,98,157,162,161,130,136,139,141,143,147,151,154,157,159,161,162,163,166,163,176,164,115,121,172,163,163,155,122,109,167,161,161,130,137,141,141,145,148,153,155,158,160,161,162,165,166,163,178,165,118,113,173,165,162,153,112,131,169,162,163,131,137,140,142,147,150,154,157,159,161,162,164,165,166,163,185,172,116,116,174,163,157,146,101,150,167,164,163,132,138,142,143,147,151,153,156,159,161,162,164,164,167,166,187,164,110,125,175,158,157,128,103,166,165,164,164,132,140,143,144,148,152,154,157,159,161,162,165,167,159,167,180,145,100,125,175,160,159,108,125,174,165,166,165,133,140,143,143,148,153,155,158,160,163,163,172,155,126,133,151,117,89,126,172,166,147,97,153,173,166,167,166,134,141,144,145,148,152,155,159,162,163,164,171,153,121,109,93,91,95,134,160,158,123,104,171,170,168,168,167,134,141,143,145,150,153,156,160,162,163,168,169,163,156,139,110,79,101,127,138,137,99,128,178,169,170,170,169,134,141,143,145,151,154,157,161,164,163,175,186,174,192,164,127,86,86,101,111,115,91,154,177,170,172,171,169,136,143,145,145,151,155,158,161,163,167,169,161,173,180,153,111,91,84,90,99,99,99,172,174,172,172,172,170,137,142,144,146,151,154,159,162,163,174,161,132,168,139,145,122,100,91,83,90,87,112,178,173,172,172,172,171,136,141,144,147,151,155,159,163,163,175,179,151,126,91,137,143,112,94,89,85,83,115,181,174,174,173,172,171,136,143,145,147,152,156,159,163,163,177,168,129,111,99,116,154,125,104,93,90,81,108,182,175,175,174,173,173,137,143,144,147,152,156,160,164,163,183,166,142,146,122,143,176,134,125,103,92,85,111,181,176,176,175,174,174,137,143,143,147,152,156,160,164,165,189,170,160,140,133,195,182,139,131,109,95,88,116,182,177,176,176,176,174,137,142,145,148,153,157,161,165,166,186,186,164,132,165,199,166,134,123,112,100,91,120,183,177,178,178,177,176,138,142,144,148,152,156,160,164,165,188,191,153,142,171,190,160,140,118,112,104,91,134,184,177,178,177,176,175,137,141,143,146,150,156,160,162,162,184,172,148,153,163,189,160,151,127,102,102,90,143,183,176,178,177,175,175,137,141,143,146,151,156,160,162,163,178,160,164,159,155,189,159,141,128,105,102,94,150,184,177,178,177,176,175,136,142,142,146,152,157,161,164,166,171,165,185,158,161,180,150,128,114,104,100,96,160,183,178,178,176,177,176,136,142,143,146,151,156,161,164,166,167,171,176,150,146,168,141,118,105,101,96,96,167,181,178,178,177,177,177
12,129,129,131,133,134,134,136,138,139,139,139,139,138,138,137,136,136,136,135,134,134,134,133,133,132,130,130,131,130,131,133,135,135,137,138,139,140,140,140,140,140,140,140,139,138,136,137,136,136,136,134,134,133,132,131,131,132,133,134,135,137,138,140,141,141,141,142,142,141,141,140,140,141,139,138,138,136,137,136,136,135,135,133,132,133,134,135,137,139,140,140,142,142,142,142,143,144,143,142,142,143,144,141,139,138,138,138,137,136,136,135,134,133,135,137,138,140,141,142,144,145,145,144,144,140,144,147,142,129,120,140,145,144,141,139,140,137,136,136,136,134,136,139,140,141,143,143,145,145,145,147,146,118,94,136,148,113,57,80,141,119,135,146,139,140,139,138,137,136,139,140,142,144,146,147,147,148,145,155,159,120,70,73,146,98,74,39,100,87,53,110,146,139,140,139,139,138,140,141,145,146,147,149,148,147,145,156,149,106,69,49,145,107,84,45,84,91,46,41,134,143,140,140,140,140,141,144,146,147,146,147,149,157,117,123,149,97,59,44,158,149,99,65,81,81,54,34,121,148,141,142,141,141,142,144,146,147,148,148,173,162,124,89,141,137,63,34,178,171,90,70,121,95,60,32,128,149,142,143,143,143,144,146,148,149,149,159,190,162,137,71,136,172,72,45,122,118,48,98,150,94,48,33,138,149,146,145,144,143,146,147,147,151,147,167,178,162,131,70,88,133,71,55,67,105,87,114,113,54,21,56,153,147,148,146,145,145,147,148,149,151,153,184,166,134,98,68,32,45,45,66,83,130,159,123,84,59,23,115,156,147,149,148,147,146,147,150,153,149,176,181,159,107,69,58,31,4,80,156,151,143,129,105,93,92,38,127,156,149,149,148,148,147,148,151,154,149,180,186,145,101,101,67,10,69,171,169,157,135,123,94,86,79,39,131,159,151,151,149,148,147,149,152,154,151,184,188,137,97,124,78,71,157,181,170,157,134,115,99,78,61,36,144,156,153,152,151,150,148,149,152,154,156,191,185,153,140,113,119,145,176,176,167,150,131,107,94,70,49,29,140,158,154,153,152,152,149,152,154,154,160,191,185,166,160,125,119,152,177,170,156,145,121,96,83,64,44,22,132,162,154,155,153,153,151,152,154,156,159,188,185,172,163,131,129,159,166,158,143,134,109,88,75,54,36,22,145,161,156,157,154,154,152,154,155,158,159,183,183,177,162,135,121,152,153,144,138,124,97,76,60,48,16,78,166,155,158,156,155,155,152,153,156,158,155,179,181,175,160,126,116,134,138,137,127,111,83,65,55,29,60,162,160,157,158,158,157,156,153,154,155,162,165,172,177,173,140,106,118,131,135,139,123,100,83,67,40,61,161,162,159,159,159,158,158,157,152,153,161,140,125,172,164,149,130,126,133,132,144,142,118,87,81,57,31,145,168,160,161,160,159,158,158,157,153,154,167,86,13,147,177,156,152,142,125,117,142,130,95,74,70,28,105,173,161,163,162,161,161,160,159,158,153,161,137,62,44,57,146,159,148,132,114,102,125,103,75,67,36,70,174,164,164,163,164,162,162,161,160,159,152,167,95,47,67,21,42,73,67,63,59,63,83,72,60,42,36,159,169,164,164,164,164,164,163,162,161,160,156,149,64,51,62,37,0,28,22,19,10,6,7,14,22,4,32,152,169,165,165,165,164,164,162,161,162,161,162,108,51,54,58,49,0,12,25,21,11,9,5,2,0,0,0,105,177,163,166,164,163,163,162,161,161,160
0,171,173,176,178,180,182,183,185,185,186,186,186,186,186,186,186,187,186,185,185,185,184,184,184,184,184,181,180,172,174,177,179,181,183,185,186,187,187,188,188,189,188,187,188,188,187,187,187,186,185,185,185,185,185,183,182,173,175,178,180,182,185,186,187,187,188,189,190,191,190,190,191,191,190,189,188,187,187,186,186,185,184,184,183,176,177,180,182,184,186,188,188,189,191,192,192,192,192,191,191,190,190,190,189,188,188,188,187,187,186,185,185,177,179,181,183,186,188,189,190,192,193,193,191,186,175,185,190,168,163,188,191,189,187,187,189,188,187,186,186,178,180,182,184,187,188,190,191,193,183,183,208,184,142,137,192,160,115,155,178,180,174,158,190,190,188,187,187,180,182,183,186,188,189,191,193,200,172,144,191,198,159,123,191,169,125,92,115,151,180,130,178,192,190,190,188,180,182,185,187,189,190,190,200,214,197,156,144,200,163,123,189,172,129,86,129,147,183,144,139,187,191,192,190,180,183,186,188,190,192,192,210,207,206,174,117,174,165,119,187,175,123,103,148,124,177,167,129,147,188,192,191,181,184,186,188,189,192,197,209,176,197,164,100,142,164,120,182,166,108,103,143,100,156,182,153,115,151,195,192,184,186,188,189,190,191,207,209,168,187,141,91,137,147,108,157,142,96,97,134,104,179,202,164,108,130,194,192,185,187,188,190,192,193,214,206,175,179,128,88,131,126,95,128,123,89,97,127,121,198,198,157,99,159,195,194,186,187,189,192,193,198,221,196,158,155,135,91,119,119,88,118,115,81,132,147,163,196,177,129,106,188,195,194,187,188,191,194,194,200,227,208,172,132,109,77,124,134,91,130,131,123,169,167,168,178,144,100,139,199,196,195,187,189,192,194,194,204,227,208,185,153,112,90,114,121,91,125,175,191,181,167,145,141,118,87,172,201,198,196,188,190,193,195,196,210,227,206,189,170,140,106,108,130,145,185,207,198,174,158,131,108,97,94,190,201,200,199,189,191,194,196,197,213,228,208,190,174,154,115,110,144,190,215,213,192,164,147,118,92,80,131,202,201,200,200,190,192,194,196,196,210,227,212,192,179,166,131,120,145,202,218,209,182,153,132,104,81,91,186,203,201,201,201,191,193,195,197,196,206,226,215,196,181,171,144,124,153,210,217,197,168,139,115,90,77,152,204,202,202,202,201,191,194,195,199,198,203,225,217,200,181,167,146,124,164,207,205,180,157,128,100,77,120,200,205,204,202,202,202,191,194,196,199,199,203,225,214,199,182,162,142,131,175,191,180,167,146,116,84,86,182,206,206,205,204,203,203,192,194,196,199,198,204,226,213,202,182,157,141,147,176,164,160,151,128,99,77,151,207,207,206,206,206,204,203,192,194,195,198,195,216,229,217,210,185,160,148,158,169,148,147,132,109,81,122,202,209,209,207,207,206,205,203,192,195,197,197,200,229,225,217,209,180,158,154,159,153,141,136,118,91,105,192,211,210,208,208,207,207,206,204,191,194,197,194,214,224,208,206,200,169,152,155,149,138,131,118,96,98,178,210,211,209,208,208,208,207,205,205,191,193,194,190,221,212,188,179,176,156,147,151,138,128,119,100,91,160,206,209,209,209,209,208,207,207,206,205,191,194,190,196,224,203,176,157,151,137,148,149,121,117,109,83,133,203,211,210,210,210,209,208,207,207,206,206,192,195,186,212,223,193,162,151,139,123,149,140,107,112,93,91,181,209,210,210,210,210,209,208,207,207,207,207
16,81,82,83,83,85,96,107,118,128,136,144,150,153,154,157,162,166,171,175,179,182,185,187,190,193,194,197,200,80,81,83,83,85,97,108,119,128,136,145,150,152,153,156,160,165,171,176,180,182,185,188,192,194,195,198,200,80,80,81,82,84,96,108,119,126,136,144,149,151,151,155,159,163,169,174,179,181,184,186,190,193,196,198,199,79,79,82,82,84,97,107,118,128,137,144,149,151,152,152,160,166,169,173,178,181,184,186,190,194,195,198,200,79,79,81,82,85,97,108,118,127,133,141,145,167,171,142,128,149,171,177,177,180,184,188,190,194,196,198,201,79,79,80,80,85,97,107,118,123,145,154,170,189,169,143,119,98,110,149,178,184,186,188,191,195,196,199,200,78,78,79,78,83,94,106,111,144,197,187,187,176,147,128,122,104,85,77,110,158,180,189,193,195,196,198,199,78,79,79,79,82,95,103,117,193,193,175,165,155,137,120,104,102,93,79,76,82,105,134,163,188,199,198,200,76,77,79,77,81,91,106,188,195,163,152,145,133,122,103,93,95,101,86,83,78,75,76,86,117,166,196,204,74,76,78,75,80,84,146,196,161,145,135,122,109,97,91,90,83,107,95,91,84,78,73,72,73,87,130,181,71,71,72,71,75,131,162,154,140,130,113,99,89,82,85,77,74,103,104,110,90,82,74,71,72,73,72,93,118,113,114,110,141,181,147,133,125,107,91,84,74,78,79,55,77,105,112,113,95,87,74,71,70,72,74,70,109,113,112,114,201,185,148,119,96,88,80,69,65,76,59,40,90,107,113,115,99,91,78,76,70,70,73,72,108,111,99,148,204,173,131,97,72,68,60,56,64,58,29,37,94,105,112,126,114,103,85,78,69,69,71,70,115,111,121,193,180,149,104,76,59,62,47,37,31,23,15,24,90,101,118,141,133,113,98,72,67,69,69,66,116,106,168,176,144,114,80,61,55,55,31,15,11,9,11,15,78,101,125,150,123,118,105,67,65,66,66,64,110,135,186,151,106,78,64,57,58,56,39,13,7,8,8,8,53,95,144,141,101,118,104,64,64,61,64,64,112,183,170,121,80,56,54,60,64,65,64,46,13,15,20,22,23,117,160,117,90,108,87,63,64,62,64,60,151,171,127,85,65,82,67,66,69,71,70,62,43,45,44,33,62,165,142,97,84,84,67,62,61,62,59,58,178,124,85,56,89,107,85,90,82,78,73,64,58,57,52,42,141,159,120,85,71,63,58,62,60,58,60,65,134,88,57,75,105,91,89,87,84,78,73,65,58,55,42,86,177,146,100,70,60,55,56,58,55,60,66,66,92,63,78,111,114,108,105,90,78,71,75,61,61,72,81,151,181,147,81,58,54,57,59,57,59,64,64,64,97,97,110,114,116,115,114,113,106,101,106,102,105,113,110,183,186,151,77,44,50,63,62,60,61,63,64,65,115,114,113,113,114,115,115,116,115,117,115,116,117,116,113,186,190,155,90,52,93,78,72,68,66,68,67,67,114,112,112,113,115,114,114,115,114,115,116,116,117,117,109,160,174,141,83,98,139,92,82,82,80,78,71,68,113,113,112,113,115,114,113,114,115,116,115,116,117,118,113,127,148,112,77,107,152,130,97,88,92,93,84,72,114,113,112,113,115,114,113,113,114,114,113,114,117,116,115,116,121,96,91,110,132,164,131,114,110,108,98,86,112,113,113,113,114,114,114,114,114,114,115,115,117,116,117,116,116,115,115,113,115,178,155,137,127,119,108,96
13,147,151,153,155,156,157,159,162,162,160,160,162,162,163,166,163,162,166,163,164,163,163,163,164,164,163,163,163,150,152,155,157,160,161,163,163,163,163,163,163,163,164,156,165,170,165,165,165,165,165,168,167,166,167,165,164,153,155,158,159,160,162,164,163,164,167,172,168,172,165,112,72,149,173,166,165,168,169,169,169,170,170,168,168,154,157,161,161,163,165,165,165,166,163,143,150,185,170,119,29,105,188,169,176,170,172,172,172,171,172,172,171,155,158,161,162,165,168,169,165,187,167,103,75,150,167,117,37,82,105,87,132,178,172,172,172,170,171,172,172,157,159,162,165,166,169,169,162,198,189,130,70,141,172,103,32,56,122,65,17,151,182,174,174,173,173,173,174,159,160,163,167,167,166,173,134,83,126,154,76,132,169,92,24,136,149,83,11,102,192,175,177,177,178,177,177,161,163,166,169,167,178,185,133,85,46,135,74,122,194,91,59,157,120,76,14,107,191,176,178,179,180,180,179,163,168,170,168,178,179,177,156,109,46,102,91,85,156,72,63,166,127,67,5,136,190,177,180,182,181,181,180,165,170,171,171,186,142,154,164,104,44,62,112,34,0,3,74,181,133,47,15,161,185,180,182,181,182,181,180,166,169,169,178,186,149,123,149,109,39,38,103,51,0,13,117,125,62,7,37,184,183,183,183,181,183,184,182,170,171,172,191,180,143,99,154,103,41,32,80,56,0,4,130,145,97,35,90,201,183,186,185,184,184,184,184,170,171,173,199,183,144,87,139,96,41,23,80,66,24,133,133,128,120,88,57,184,187,187,187,186,185,185,186,171,172,176,200,172,134,82,107,101,51,21,129,96,93,179,150,118,86,68,27,138,199,187,189,187,187,187,187,173,173,179,199,174,145,117,89,94,92,3,109,130,165,166,142,113,69,49,30,154,196,188,190,189,188,188,187,172,174,183,199,176,151,131,96,63,47,18,136,180,188,163,129,100,63,40,44,184,191,189,191,192,189,189,189,173,173,184,200,176,150,132,123,81,65,92,185,186,187,151,115,86,55,32,75,200,189,192,192,192,190,189,190,175,175,182,192,177,155,140,134,95,80,86,172,187,171,127,95,71,47,27,139,204,192,196,193,192,191,191,192,175,176,178,182,179,160,144,137,109,78,87,174,184,151,114,83,61,32,73,198,195,197,196,194,193,194,194,193,175,176,176,182,183,163,144,138,114,82,104,156,171,130,104,71,52,24,146,205,192,196,195,195,194,194,194,193,173,176,178,183,183,164,143,132,113,81,112,147,138,109,90,63,41,48,189,194,193,195,194,194,194,194,193,194,173,177,176,185,183,153,137,120,93,79,122,126,106,95,74,57,27,117,205,193,194,194,194,194,194,194,193,193,174,177,169,187,174,142,133,104,85,89,125,108,95,87,64,41,61,188,195,194,194,195,195,195,195,194,194,195,174,173,169,199,166,147,134,104,98,109,127,102,92,69,53,37,156,199,193,195,194,195,195,195,195,195,195,194,175,169,177,204,169,161,138,104,111,125,110,89,77,52,28,106,198,193,194,194,195,196,196,196,196,195,195,195,175,166,180,186,163,165,143,114,122,117,95,74,57,36,44,181,196,194,194,194,194,196,197,196,197,195,195,195,179,161,179,170,148,149,134,109,109,111,83,54,50,18,115,200,194,196,194,195,195,196,197,197,197,197,196,197,112,133,184,161,138,117,109,96,107,117,66,49,44,25,147,187,185,190,192,193,195,196,198,198,196,199,194,184
6,135,140,145,147,150,154,158,161,165,168,170,172,174,177,178,181,182,183,185,186,186,186,187,188,188,188,187,188,136,141,144,146,150,155,159,162,165,168,171,173,175,177,179,181,182,184,185,187,187,188,188,188,188,188,188,188,136,141,145,146,150,155,160,163,165,169,172,175,177,178,179,181,184,186,186,187,188,189,190,190,189,189,188,188,137,142,145,147,152,156,161,164,167,170,173,175,178,179,180,182,185,188,188,188,189,190,192,191,190,190,190,190,138,144,145,148,151,156,160,164,168,171,173,176,179,180,181,183,186,188,188,188,190,190,191,193,192,191,192,193,138,143,146,149,152,156,161,165,168,172,174,177,179,180,182,184,185,186,187,187,185,188,189,189,188,185,181,182,139,143,147,149,151,156,161,164,168,172,180,184,181,183,188,191,192,196,195,190,193,198,204,198,189,181,165,163,137,142,145,146,150,155,160,165,176,193,202,198,185,177,187,199,205,206,201,190,192,199,203,200,192,181,169,167,137,142,144,146,149,156,169,187,201,205,205,197,180,152,146,167,173,174,172,167,169,165,161,161,158,152,147,152,139,145,146,147,160,182,203,205,201,200,203,202,182,142,112,112,113,118,129,134,139,151,163,169,171,173,175,179,138,144,155,177,196,207,205,201,201,205,205,192,161,135,110,102,99,95,118,159,179,189,192,193,194,195,194,194,150,175,198,208,206,206,202,202,206,204,192,172,145,126,112,108,112,109,110,142,167,190,194,195,195,194,193,193,201,208,209,208,206,207,207,204,204,204,201,194,161,123,108,100,108,118,114,108,100,154,195,196,196,195,194,194,212,210,210,209,205,203,204,201,203,206,211,201,159,123,113,107,102,110,119,121,105,100,163,196,195,195,195,195,216,214,211,205,204,202,203,198,201,209,209,179,145,125,118,120,120,109,99,105,108,99,122,193,195,195,194,194,216,212,206,199,196,194,194,192,196,203,195,167,138,122,120,124,127,121,101,95,93,100,125,185,188,188,187,187,211,208,201,195,195,193,192,189,191,196,193,174,137,110,95,112,128,147,120,105,94,97,115,132,132,131,131,130,208,208,206,201,197,197,198,196,195,200,195,172,131,114,103,101,104,119,124,117,104,103,100,99,99,100,99,98,210,210,205,199,197,195,195,193,197,201,190,161,126,119,121,119,113,105,106,109,112,107,103,104,104,103,103,103,205,202,197,193,192,186,181,179,186,188,174,152,132,127,126,122,113,105,101,101,110,110,108,105,103,103,102,102,191,190,188,183,177,173,166,168,176,171,156,141,130,124,126,124,116,108,106,108,108,109,109,105,105,103,102,102,170,172,167,165,159,158,155,152,151,142,129,119,114,108,108,112,113,112,111,109,106,107,106,104,105,103,101,101,135,136,139,139,139,133,127,120,115,113,110,109,109,108,105,104,106,109,108,107,107,107,107,105,106,103,102,102,120,111,109,109,106,106,108,108,107,109,110,111,110,109,110,108,108,109,108,108,106,105,106,105,106,104,103,103,107,103,97,93,100,107,109,110,111,111,111,111,110,110,110,109,109,109,109,108,106,104,105,105,104,103,102,103,100,91,86,91,102,110,111,110,111,112,111,110,110,110,110,108,108,109,108,108,107,105,104,104,105,104,103,102,119,110,99,96,101,110,111,111,110,110,110,110,109,110,109,108,108,108,108,108,107,105,104,104,104,103,103,103,127,110,100,97,101,109,111,111,110,110,110,109,109,109,108,108,107,108,108,108,107,105,105,104,104,102,103,103
12,188,190,192,194,196,196,199,202,203,204,204,204,206,204,204,206,205,204,205,206,205,204,204,204,202,202,202,201,190,193,194,196,197,198,201,203,205,205,205,205,206,207,207,207,207,206,207,208,207,206,205,204,204,203,203,203,191,193,196,197,199,200,202,203,205,207,207,207,208,208,207,209,208,209,209,209,209,209,209,207,206,205,204,204,191,193,196,198,199,201,203,204,206,207,208,210,210,209,209,211,211,209,208,210,210,211,210,208,208,208,206,206,193,195,198,199,202,203,205,206,207,209,210,211,211,209,214,213,211,211,213,212,209,210,209,209,209,209,209,207,194,196,198,200,203,204,207,208,209,210,211,210,211,211,199,208,217,204,183,204,214,210,209,211,211,211,211,209,195,197,199,202,203,206,208,211,211,210,212,208,230,229,180,175,238,198,144,149,223,213,217,211,211,212,212,211,197,199,201,203,204,205,208,210,212,211,211,210,255,238,191,167,233,195,143,109,184,172,180,218,212,213,213,213,199,201,203,205,207,208,209,210,210,213,221,182,192,227,184,157,226,189,136,117,199,162,106,186,220,212,214,216,198,200,203,205,208,209,211,213,207,239,231,195,137,182,179,147,221,189,126,154,211,172,115,137,227,214,215,215,198,201,203,205,209,210,213,211,223,255,243,204,151,136,198,146,236,223,153,178,216,183,118,128,225,216,216,215,199,203,205,207,209,211,213,209,242,228,238,207,154,124,212,150,211,212,131,186,249,197,112,131,226,217,217,217,201,203,206,208,210,213,214,213,250,221,225,207,154,108,145,134,105,163,146,185,204,144,89,138,228,217,217,218,203,205,207,209,211,215,211,238,250,205,213,203,156,113,92,94,90,191,227,212,185,162,98,147,229,217,219,218,204,206,208,211,212,214,214,252,234,187,193,198,157,121,108,112,191,217,206,197,176,166,120,167,231,219,221,218,205,206,210,212,214,214,224,252,225,200,171,189,193,121,99,212,239,213,197,184,154,140,119,171,231,220,222,220,206,207,210,213,216,213,237,252,229,212,178,157,168,122,170,252,237,209,193,175,145,134,110,181,232,221,223,221,207,209,210,214,218,212,244,251,229,207,197,165,162,183,237,249,235,203,185,164,138,129,105,196,231,223,223,223,208,210,212,215,219,214,245,250,231,214,203,179,182,190,242,249,228,196,176,156,133,127,97,185,233,221,224,224,209,210,213,216,219,215,242,254,236,222,212,191,172,201,246,242,217,194,168,146,129,121,97,206,231,222,224,224,210,212,215,216,219,217,237,254,237,222,212,196,177,222,238,224,207,188,162,138,127,100,158,235,224,225,225,225,210,213,216,217,220,218,232,252,230,218,202,188,197,228,214,210,194,174,152,133,105,145,232,228,226,226,227,226,212,214,216,217,220,218,237,249,225,216,198,197,215,225,203,202,184,162,145,117,140,229,230,229,229,228,228,227,213,214,217,219,223,217,245,248,232,225,211,210,224,222,201,193,174,158,131,122,219,233,229,230,228,228,228,229,213,216,218,220,224,217,255,255,243,226,217,222,223,210,197,171,159,143,112,181,235,230,231,230,230,230,229,228,213,216,219,220,221,222,255,254,252,231,225,223,211,200,180,154,149,114,157,234,233,233,232,231,231,230,230,229,214,217,219,222,219,226,253,241,244,225,222,211,205,184,165,151,132,123,216,236,234,235,234,232,231,231,230,230,215,217,221,223,217,231,249,224,221,211,210,213,198,171,167,147,115,163,235,235,235,235,235,233,232,232,231,230
8,192,191,192,193,192,192,194,192,192,190,193,163,169,192,187,186,187,186,184,182,181,181,180,178,176,175,173,171,192,192,193,194,194,194,194,193,193,193,199,138,127,199,188,189,189,188,185,184,182,182,181,180,177,177,175,172,193,194,195,196,195,195,196,198,193,202,193,110,124,200,188,192,192,190,187,186,185,184,182,182,180,177,176,174,195,196,196,199,198,197,199,199,194,208,184,91,146,203,190,192,192,190,190,189,187,185,184,184,183,179,177,176,196,198,198,200,202,200,199,200,195,219,184,98,162,202,193,194,193,191,191,189,187,187,186,184,183,180,179,178,198,200,200,201,202,201,200,201,198,225,162,96,173,202,194,199,195,191,191,190,188,188,187,186,183,182,180,180,199,201,202,200,201,203,202,202,202,221,153,102,181,203,194,152,182,204,195,190,190,190,188,188,186,184,183,179,201,203,203,203,203,203,204,201,208,222,167,142,179,206,207,149,125,165,180,198,190,192,189,188,187,186,185,180,202,203,203,203,204,204,205,199,213,214,182,163,186,197,209,196,147,121,110,138,200,184,196,191,187,185,184,182,203,204,203,204,204,205,207,202,213,209,195,173,208,199,185,212,187,184,143,74,124,122,120,188,191,187,186,184,204,204,205,207,207,208,208,203,227,195,182,195,210,194,150,172,191,173,148,83,47,69,51,122,201,187,189,185,205,207,207,207,209,211,209,212,210,175,185,177,195,174,137,86,180,188,152,95,48,57,58,83,199,189,188,186,206,208,209,210,211,211,208,228,197,157,153,159,192,149,116,43,132,216,159,102,52,76,54,111,203,188,188,188,207,209,210,210,211,209,217,239,209,174,125,131,178,129,87,61,135,225,167,109,51,52,59,181,197,190,190,189,208,209,210,213,212,209,237,235,204,171,139,128,184,172,168,201,185,191,158,113,59,32,153,203,191,191,190,188,209,211,212,213,212,214,245,221,198,176,159,125,147,224,218,194,193,150,141,120,56,122,210,195,195,194,192,191,210,213,212,213,213,225,242,213,201,173,135,134,198,224,196,167,197,131,124,114,53,182,205,198,196,195,194,192,211,213,214,215,211,235,240,212,204,163,138,192,231,210,188,159,178,129,98,81,71,206,201,200,199,195,193,193,213,214,215,216,215,237,237,217,203,159,181,216,222,198,180,148,153,125,83,47,131,217,200,202,200,197,195,194,215,215,217,213,211,243,232,216,193,167,180,207,197,181,160,138,139,99,64,46,188,210,204,202,201,199,198,195,215,213,230,150,77,190,224,196,172,162,171,184,183,165,145,134,112,76,38,95,217,204,206,203,202,199,197,194,213,221,194,77,61,64,147,186,166,164,163,176,181,151,131,106,74,56,40,181,211,207,206,203,202,201,199,196,214,227,112,59,68,62,58,123,170,175,156,172,167,128,103,76,65,32,130,221,206,209,206,202,202,201,199,198,231,162,64,66,59,60,58,25,64,93,112,156,141,90,71,64,34,99,218,209,209,209,206,204,203,202,200,197,197,79,62,62,57,52,65,33,18,34,35,61,75,60,47,29,115,216,212,209,209,209,207,206,203,201,200,197,98,61,64,59,52,50,61,40,5,34,30,18,16,24,11,138,235,208,209,208,208,208,206,203,202,200,199,197,60,54,52,55,51,43,59,33,0,26,25,17,16,11,6,67,173,216,209,210,209,208,206,203,202,200,198,194,66,50,28,85,69,32,57,13,0,20,19,11,11,12,13,0,97,227,208,211,210,209,207,204,203,202,199,195
1,27,52,53,58,66,84,105,119,124,132,138,142,147,156,156,160,160,161,164,164,165,167,168,169,169,169,170,168,36,52,55,60,67,88,109,123,129,136,144,145,160,182,112,156,167,168,167,169,169,168,169,170,169,170,170,169,44,53,56,62,68,91,114,127,133,141,150,151,174,195,89,111,123,159,178,175,174,175,174,173,172,172,171,171,51,53,59,64,70,95,119,131,138,142,185,150,138,202,91,101,115,112,191,179,182,182,182,180,177,176,175,175,55,55,59,65,74,99,121,133,141,145,203,156,103,195,91,93,135,78,182,189,187,187,187,186,184,183,181,181,55,55,62,66,78,104,125,137,145,149,203,166,93,174,96,87,137,69,165,202,193,194,193,191,190,189,187,186,57,57,63,66,81,109,130,139,148,153,207,168,77,160,119,94,148,84,148,210,198,200,200,198,195,195,193,193,58,58,63,67,86,114,134,142,157,172,178,173,76,123,112,89,155,92,133,218,203,205,205,204,201,202,201,199,59,59,65,69,89,118,139,141,177,175,151,175,78,104,115,72,147,97,125,222,209,211,210,208,207,207,205,203,61,61,66,69,92,122,143,141,203,169,130,172,77,121,132,74,170,128,122,223,213,214,214,213,213,211,209,209,61,63,68,72,96,125,146,147,208,151,117,192,93,109,129,76,169,146,113,224,219,219,219,218,216,215,214,213,61,63,68,72,100,129,149,151,209,146,98,183,100,76,111,87,160,146,97,220,223,223,222,220,219,219,220,218,61,63,67,73,104,133,152,157,214,150,77,156,90,65,101,107,176,146,93,217,228,226,226,226,225,223,223,223,63,64,66,75,107,135,155,161,220,169,68,139,142,133,126,149,181,117,77,202,236,228,229,229,228,228,228,227,63,65,67,78,112,139,160,163,218,168,80,150,197,150,130,141,142,113,64,168,244,229,232,232,229,230,231,228,62,65,67,80,115,143,163,167,217,179,137,142,112,129,119,117,108,122,102,129,245,232,235,235,233,232,233,241,62,65,67,83,119,148,165,171,232,200,143,119,93,119,121,135,122,151,151,106,173,250,234,235,242,249,237,197,61,66,68,85,123,152,166,177,242,198,138,105,101,123,132,202,190,169,193,156,90,203,248,249,218,156,84,37,62,66,67,88,126,156,168,181,242,194,127,100,109,131,168,225,236,182,209,159,76,143,253,130,48,27,21,27,61,64,67,91,129,157,171,180,238,202,128,102,119,141,187,222,244,229,181,117,71,131,116,33,23,19,34,18,59,62,64,92,130,158,171,179,229,209,139,103,124,153,199,231,240,219,164,105,81,55,20,44,42,0,29,29,60,62,64,94,133,162,173,180,224,216,164,110,127,156,201,239,231,198,154,106,75,45,25,13,47,8,2,34,53,56,60,94,135,164,177,182,216,218,184,125,128,155,201,239,214,182,142,100,72,43,31,0,25,32,0,15,74,70,71,100,139,166,179,187,209,211,193,141,131,147,201,224,203,174,128,92,67,44,21,5,0,35,2,0,112,110,112,111,112,122,128,132,143,200,199,151,147,142,188,207,193,162,117,86,59,38,29,5,0,22,18,0,106,106,106,108,107,109,110,113,106,167,204,164,152,141,162,192,176,143,103,76,51,14,33,9,0,12,29,0,108,108,110,112,115,115,117,119,116,128,190,169,152,143,135,166,154,122,87,64,52,16,19,11,0,0,31,9,106,108,109,111,112,114,115,118,120,114,166,181,156,149,128,137,143,110,76,51,54,31,2,0,0,0,25,23
6,185,187,187,188,188,188,187,187,187,187,187,185,185,184,183,182,182,180,179,178,177,178,177,175,173,173,128,143,187,188,188,188,190,189,188,189,189,188,188,187,186,186,185,184,183,182,180,180,179,179,179,178,176,173,169,130,189,189,191,191,191,191,190,189,190,189,188,188,187,188,187,186,184,182,183,182,182,181,179,178,178,175,174,160,190,192,192,193,193,193,192,191,192,192,191,189,188,189,188,186,186,185,185,185,185,181,180,179,178,176,174,167,191,193,194,194,194,194,193,193,193,192,191,191,189,190,189,189,188,187,185,185,184,183,181,181,179,178,175,171,193,193,194,195,196,194,195,195,194,194,194,193,192,190,190,191,190,188,186,186,186,185,183,181,181,179,178,174,193,194,194,196,197,197,197,197,195,195,194,195,194,193,193,191,190,185,186,185,185,183,179,179,174,176,177,177,194,195,196,197,198,199,198,198,200,199,195,193,189,184,182,179,178,159,159,172,173,160,168,165,172,208,161,170,195,196,199,200,199,199,198,196,190,180,182,183,178,179,181,182,173,169,159,178,182,167,170,172,164,191,145,165,196,199,200,200,200,198,199,204,183,164,172,183,185,190,192,191,176,157,158,153,153,143,133,135,126,130,154,181,197,198,199,201,201,198,208,214,189,175,167,166,169,165,161,154,146,137,114,110,103,108,145,150,166,178,184,180,198,199,200,201,202,199,216,216,201,188,174,161,156,148,142,133,121,104,80,68,66,161,200,191,190,187,182,181,198,200,201,202,202,206,222,219,211,185,154,148,152,159,158,152,143,136,133,99,133,200,187,188,187,186,184,183,200,201,202,204,200,214,227,222,208,159,133,140,144,155,159,158,149,139,140,112,144,202,189,190,188,187,185,184,201,203,204,204,200,223,224,220,185,138,146,143,135,137,153,145,136,136,130,91,150,201,191,192,189,187,187,186,201,203,204,202,206,226,220,220,193,174,162,147,126,127,156,149,142,146,130,102,188,196,193,192,191,189,188,186,202,204,206,200,218,222,221,223,221,209,173,144,150,158,159,152,140,129,128,111,164,202,193,193,191,189,187,185,204,205,201,206,224,222,224,220,219,215,168,135,140,145,145,143,130,121,121,93,158,202,194,195,192,190,187,186,203,205,198,213,222,225,222,215,214,197,161,139,134,126,130,136,133,128,109,107,189,198,194,194,193,189,189,192,204,196,198,218,221,223,216,208,203,199,183,167,138,104,111,132,129,128,102,137,204,193,195,193,189,189,188,168,204,185,210,220,222,217,214,213,208,201,206,196,151,120,134,152,142,123,115,103,187,199,193,192,193,199,133,65,193,192,217,220,219,216,218,215,203,207,211,184,136,118,126,128,119,109,99,96,186,199,198,201,176,119,63,53,189,208,214,217,215,211,206,202,199,208,196,161,127,122,121,111,102,98,93,157,208,199,175,122,76,54,54,50,202,210,215,211,204,198,192,193,193,180,162,137,123,114,95,127,142,160,183,190,152,108,66,52,53,52,53,52,209,208,211,205,192,188,186,183,182,163,140,130,130,122,134,183,164,142,115,81,56,36,41,50,50,46,48,46,206,208,201,190,181,171,181,180,169,159,148,136,116,90,92,70,53,46,43,52,42,29,39,43,45,43,45,42,206,204,197,188,176,165,167,162,150,143,127,103,76,56,40,45,44,46,49,50,31,24,34,39,43,41,41,43,208,199,193,179,159,154,148,134,119,109,90,67,47,55,45,34,39,40,45,46,26,21,31,37,42,38,37,42
11,160,160,160,159,159,158,159,159,155,158,155,153,153,152,150,149,147,145,144,142,140,138,137,136,133,132,129,131,164,163,163,164,163,163,163,161,165,131,154,158,155,155,154,152,150,149,147,146,144,141,139,138,136,134,138,118,168,168,168,168,168,168,168,166,177,115,110,171,160,159,158,155,153,152,151,148,147,145,143,139,140,138,78,15,173,173,173,172,172,173,172,171,168,148,76,152,170,163,161,160,158,155,153,151,149,149,146,143,139,59,0,0,177,176,176,177,178,177,176,176,172,163,90,112,178,166,167,164,162,160,158,156,155,152,149,154,85,13,6,7,182,181,181,180,181,180,180,179,176,163,102,86,181,170,170,168,167,164,163,160,159,155,156,145,35,29,21,5,184,185,185,185,184,183,183,183,181,169,139,73,166,180,174,171,170,168,167,165,162,159,163,134,23,29,21,15,187,187,187,186,187,186,187,187,184,187,157,70,145,187,176,175,174,170,169,168,166,161,167,128,24,19,3,8,191,192,191,190,189,190,191,190,186,189,166,72,125,194,178,179,177,174,172,171,169,164,172,111,12,20,0,14,193,194,193,192,193,192,191,193,189,171,163,93,98,194,181,180,179,178,177,174,172,166,179,97,3,16,0,4,195,195,194,195,195,196,195,194,196,171,163,141,76,168,194,188,181,181,179,177,176,171,180,83,3,12,0,1,198,198,198,198,198,199,198,197,199,188,171,179,97,141,119,154,192,182,182,180,179,176,174,48,4,0,0,13,200,200,200,200,201,200,199,198,198,194,170,179,190,180,75,76,198,184,185,184,180,179,177,66,54,65,51,23,201,201,201,202,201,201,201,199,202,203,177,185,158,122,90,54,182,192,187,186,182,179,169,151,145,137,118,61,203,203,203,204,204,203,205,204,192,157,182,199,136,46,75,56,147,200,187,187,184,172,170,165,142,94,65,46,205,206,206,206,206,208,204,193,185,101,85,163,130,54,57,61,106,203,186,190,173,178,179,153,93,80,59,22,207,207,207,208,209,207,194,197,176,115,69,88,135,78,49,62,64,195,201,184,155,169,165,92,67,136,128,15,208,208,210,210,207,193,202,178,129,131,104,62,109,102,43,62,57,128,173,140,149,157,106,89,143,151,139,74,211,210,211,212,199,193,175,126,69,107,110,68,73,107,47,54,70,45,76,122,145,117,86,188,132,101,119,118,212,213,213,213,196,192,173,134,62,68,126,38,33,110,63,44,107,81,78,119,122,71,161,194,171,31,97,120,215,216,215,215,190,192,176,129,75,60,94,9,17,118,63,36,130,97,75,106,68,104,201,183,195,132,117,132,216,215,215,217,201,185,173,153,135,80,37,23,21,116,94,55,73,90,91,78,57,183,195,189,186,190,154,116,217,216,216,218,214,186,181,170,146,110,64,48,70,122,118,74,89,140,98,44,141,206,191,191,186,190,158,110,218,218,219,219,220,198,179,168,161,128,93,61,80,150,130,85,119,108,69,55,193,199,194,192,188,191,163,86,218,219,219,219,222,207,184,171,156,130,97,78,69,128,158,136,116,90,43,99,213,196,195,194,191,192,167,75,218,218,218,218,218,215,178,169,144,130,106,87,75,103,132,123,107,72,37,175,206,196,194,193,190,194,158,118,219,219,219,219,217,222,190,159,150,133,116,100,82,80,103,95,84,34,122,210,195,196,193,193,196,183,134,132,220,220,221,221,218,221,214,160,149,136,125,106,79,64,78,70,40,90,209,199,199,196,194,191,142,126,124,132
16,81,82,83,84,85,96,107,118,128,136,144,150,152,154,157,161,166,171,175,179,182,185,187,190,193,195,197,200,80,81,83,83,85,97,108,119,128,136,145,150,152,153,156,160,165,171,175,180,182,185,188,191,194,195,198,200,80,80,81,82,84,96,108,119,126,136,144,149,151,151,155,159,164,169,174,178,181,184,186,190,193,196,198,199,79,79,82,82,85,97,107,118,128,137,144,149,152,153,152,158,164,169,173,178,181,184,186,190,194,195,198,200,79,79,81,82,86,97,108,118,127,135,142,147,166,168,143,130,149,167,174,177,180,184,188,190,194,196,198,201,79,79,80,80,85,97,107,118,125,146,155,169,185,167,142,121,102,112,148,174,181,185,188,191,195,196,199,200,78,78,79,79,83,95,106,114,145,192,185,184,174,148,129,121,104,89,82,112,156,176,186,190,194,196,198,199,78,79,79,79,82,94,105,120,190,189,174,165,155,137,120,105,101,93,81,79,86,106,134,162,185,196,198,200,76,77,78,77,82,93,109,183,191,164,153,145,133,121,104,94,95,101,86,84,79,78,80,89,119,164,192,201,74,76,78,76,80,90,143,188,162,146,135,122,110,98,91,89,83,107,95,92,84,78,74,73,76,90,130,177,73,73,74,74,80,131,158,154,141,130,113,99,90,83,84,78,75,103,104,108,90,83,74,71,73,75,76,95,117,113,113,112,140,175,148,134,124,107,92,84,75,78,76,58,78,103,112,111,95,87,74,72,70,72,74,72,108,110,111,114,195,182,147,119,97,88,80,70,66,74,59,43,89,105,114,115,100,92,78,75,70,70,73,72,109,111,106,148,198,171,131,98,73,69,61,56,62,57,32,39,92,104,112,125,113,103,86,78,69,69,71,70,114,113,123,188,177,148,104,77,60,61,47,38,31,24,17,26,88,100,118,138,130,113,98,73,67,69,69,66,116,111,166,171,144,114,81,63,56,54,33,18,13,10,12,17,76,101,125,147,122,117,104,69,66,66,66,64,114,136,180,150,108,80,65,58,58,56,39,15,8,9,9,12,54,96,141,138,104,116,102,65,65,62,64,63,116,179,165,121,82,60,56,60,64,65,62,46,15,17,20,23,30,116,154,118,93,105,86,64,64,62,63,60,149,166,127,88,67,81,68,67,70,71,69,61,42,44,42,37,65,157,140,99,85,83,68,62,61,62,60,58,172,124,87,62,88,103,86,89,81,78,73,65,57,56,52,47,138,154,120,86,71,64,58,61,60,59,61,64,131,89,62,76,102,92,89,87,84,78,73,65,59,56,49,87,170,146,101,72,60,56,56,58,56,60,65,66,94,67,79,108,113,108,104,91,80,72,76,63,63,72,84,149,176,146,84,60,55,58,58,58,59,64,64,64,98,98,109,113,116,115,114,113,106,102,106,102,105,111,110,181,182,149,79,48,53,63,62,61,61,63,64,65,114,112,113,113,114,115,115,115,114,116,114,115,116,116,115,183,186,152,93,56,92,79,72,68,67,68,67,67,114,112,112,113,115,114,114,115,114,115,116,116,117,116,112,160,169,139,87,97,134,94,83,82,80,78,72,68,113,113,112,113,115,114,113,114,115,116,115,116,117,118,114,127,145,115,80,107,149,128,99,90,92,92,84,73,113,113,112,113,114,114,113,113,114,114,113,114,117,116,115,116,121,99,92,112,132,159,131,115,110,107,97,87,113,113,113,114,114,114,114,114,114,114,115,115,117,116,117,116,117,114,114,114,116,175,153,136,127,118,108,96
23,172,174,178,180,181,182,183,184,184,186,187,186,186,185,185,186,187,187,187,187,186,187,187,186,187,185,186,185,174,176,179,181,182,184,184,186,187,186,186,186,187,187,188,189,188,188,190,188,187,188,188,188,188,187,187,187,177,179,181,184,185,186,186,187,189,188,188,189,189,189,189,185,177,179,188,190,189,191,191,191,191,190,189,188,178,180,183,185,186,188,189,190,190,192,193,192,191,201,209,192,170,158,165,157,182,194,194,194,193,193,192,190,180,182,185,187,189,190,192,192,192,194,194,195,204,210,198,174,153,148,134,120,181,196,195,195,195,195,194,193,181,184,186,188,191,193,193,193,193,194,196,207,204,170,160,134,142,147,148,173,195,196,197,196,197,197,197,196,183,186,188,190,192,194,194,195,196,195,196,202,179,133,128,164,196,198,199,199,198,199,199,198,198,199,199,198,186,188,190,193,193,195,196,196,198,197,198,194,165,140,133,202,200,199,193,189,199,200,201,202,201,201,200,200,188,189,192,194,195,197,198,198,199,200,200,194,169,159,130,196,201,207,190,136,176,202,203,203,203,203,201,201,188,192,194,195,196,198,199,200,201,201,200,200,183,166,154,207,219,213,185,119,143,203,202,204,203,203,202,201,190,194,195,196,199,200,200,201,202,202,200,205,194,200,216,217,205,198,176,103,110,160,172,205,204,203,203,202,191,193,196,197,200,200,201,202,203,202,201,201,205,215,211,203,203,191,151,98,63,117,131,198,207,205,205,204,192,194,197,199,200,201,202,203,204,203,200,201,208,214,215,201,199,183,115,82,51,89,92,129,201,208,207,206,193,195,197,200,201,201,203,204,204,207,205,204,206,208,203,197,197,171,103,75,52,72,81,75,132,208,207,207,195,196,198,200,201,203,204,206,205,212,214,200,201,202,201,198,183,138,95,78,55,62,80,83,93,199,209,208,195,197,199,201,203,204,205,206,207,207,210,203,203,203,192,167,128,90,95,82,57,58,78,81,131,209,209,208,196,198,199,201,204,205,206,207,207,201,206,202,199,183,155,114,68,72,94,78,53,68,85,93,186,214,211,209,195,199,201,202,205,206,206,207,209,202,204,199,194,180,134,90,59,83,81,55,50,71,86,141,212,212,212,211,195,198,200,203,205,206,207,208,209,203,201,198,200,179,113,72,56,64,52,49,60,73,95,191,215,213,213,213,195,198,200,202,202,204,206,207,207,202,198,198,201,165,111,82,52,48,53,64,78,77,132,213,214,214,215,214,196,199,200,202,203,205,205,206,207,201,198,203,204,168,120,92,56,53,76,89,93,86,170,218,216,214,214,214,196,198,201,203,205,206,206,206,207,200,197,209,201,170,130,99,71,60,86,98,99,92,187,217,215,214,213,213,195,198,201,203,205,206,206,206,208,199,192,209,199,170,134,103,81,63,88,100,97,104,203,216,215,214,213,213,195,198,201,203,205,206,207,207,208,197,191,203,195,167,131,102,85,68,86,100,91,132,215,215,215,215,215,214,197,199,201,203,205,207,208,208,209,190,189,200,190,161,129,100,84,74,80,93,94,182,217,215,215,215,215,215,192,195,198,199,203,205,206,207,208,187,199,201,182,155,125,100,85,79,76,90,153,215,217,217,216,216,215,212,129,133,138,141,143,146,149,154,153,173,212,204,177,146,119,99,86,81,78,135,192,199,201,207,208,204,201,199,100,101,103,103,103,105,107,105,103,180,221,205,175,139,117,100,85,82,89,111,129,143,154,176,188,182,186,185
4,89,103,117,123,129,133,137,140,142,145,148,151,153,155,158,159,162,162,164,166,166,166,167,167,167,168,168,169,90,106,118,125,130,134,138,141,144,147,151,151,154,157,158,161,159,163,166,167,169,170,169,169,170,170,170,170,92,108,119,125,131,136,140,143,145,147,150,153,148,152,164,168,141,129,161,157,154,170,170,171,172,172,172,171,94,110,121,127,133,136,141,145,146,145,158,183,154,135,163,182,135,90,125,144,98,120,173,173,173,173,174,174,96,112,122,128,133,137,142,146,153,160,139,157,182,135,122,169,122,82,85,124,99,75,161,177,174,175,176,176,97,114,123,130,134,138,143,144,179,174,148,122,135,122,95,136,108,74,86,127,98,63,156,179,176,177,177,177,99,115,124,130,135,139,142,157,190,184,160,134,88,89,86,152,121,66,126,130,84,64,170,178,176,178,179,178,102,116,125,131,136,139,142,174,163,155,154,113,77,70,81,157,125,110,151,111,60,83,181,180,178,180,181,180,104,117,126,132,137,141,143,185,147,139,143,86,65,76,59,106,133,166,148,126,86,104,187,180,180,181,181,181,108,119,126,133,138,141,150,192,158,152,131,90,52,102,118,135,149,151,131,137,118,108,179,182,181,182,182,182,109,120,125,133,140,142,162,186,145,127,119,91,42,128,146,135,133,115,130,154,137,113,126,184,182,185,185,184,111,121,126,135,139,139,174,175,136,110,95,64,42,62,102,104,98,71,131,161,156,138,99,143,188,185,187,187,111,122,128,136,141,143,196,179,145,121,101,78,57,51,58,66,90,130,136,156,164,145,114,90,171,188,188,187,114,123,128,136,141,149,207,175,150,133,102,80,68,80,109,138,169,181,167,157,145,137,123,90,134,192,188,188,117,123,128,137,140,160,212,182,164,136,101,94,81,117,162,181,189,184,164,148,126,114,114,88,141,192,189,189,118,123,129,137,138,172,212,186,161,126,106,103,96,154,183,191,192,188,160,136,112,95,93,99,179,189,190,190,118,123,130,139,139,178,210,182,151,125,120,109,123,173,182,188,190,175,147,125,105,89,81,150,193,190,191,190,119,123,130,139,139,179,207,176,154,143,137,124,148,174,180,184,178,157,135,113,97,80,109,191,191,191,193,193,120,124,131,138,140,176,200,180,172,161,146,140,165,173,178,172,158,144,121,105,89,82,173,195,192,193,194,195,120,124,132,139,141,166,201,188,180,162,144,138,159,166,165,153,139,127,109,95,80,136,196,193,192,194,195,195,121,125,133,140,143,156,197,183,174,159,138,124,140,150,150,140,125,113,99,83,102,188,193,193,193,194,195,195,121,127,135,141,146,152,194,174,161,149,131,124,134,145,143,128,110,102,88,83,167,195,193,194,195,196,196,196,120,127,135,141,146,150,187,163,149,139,126,132,129,137,139,122,105,94,74,141,195,193,194,194,196,196,197,197,121,127,135,141,145,160,186,163,153,146,147,149,129,122,127,110,96,81,104,189,193,194,196,196,197,197,197,197,122,128,136,141,151,195,171,158,159,152,149,140,122,112,116,103,90,74,160,194,193,195,196,196,197,197,197,198,122,129,136,140,186,195,190,123,134,155,142,128,117,104,103,96,86,72,178,193,194,195,196,196,197,198,198,200,122,130,135,157,202,190,193,176,88,121,128,118,110,92,95,90,80,73,182,193,194,195,197,197,197,199,200,200,123,130,136,193,191,190,190,195,152,71,100,111,100,79,88,84,77,72,181,195,195,195,197,199,199,200,200,201
7,163,163,163,163,162,163,163,164,163,162,161,161,157,136,159,155,144,132,126,122,109,99,91,64,50,25,57,141,164,165,165,165,164,164,164,164,163,164,163,162,161,152,156,160,146,128,107,101,86,67,56,40,37,20,67,146,166,166,166,167,167,167,166,167,166,167,165,165,162,153,159,160,150,137,106,83,60,44,34,29,26,28,69,147,168,168,168,169,169,169,169,170,169,168,165,164,169,159,156,159,153,150,146,135,113,80,50,34,38,33,69,148,168,168,168,168,169,169,170,170,169,168,167,170,139,143,161,157,152,153,156,150,152,116,67,48,47,37,71,150,170,169,170,169,169,169,170,170,170,170,172,164,100,114,169,161,154,155,157,147,151,117,50,53,52,45,66,151,171,170,170,171,171,170,171,171,171,168,176,142,114,167,144,155,156,149,158,151,145,102,54,57,58,56,38,80,173,172,173,172,172,173,173,174,174,174,174,141,172,202,152,110,146,146,148,143,130,92,61,59,61,58,30,40,175,174,175,174,175,177,178,172,164,156,157,188,193,185,193,150,113,133,143,138,125,101,72,64,66,58,26,39,174,174,176,177,176,166,153,141,133,121,88,85,108,130,139,133,110,99,114,125,123,106,78,71,69,56,42,111,178,176,168,159,146,135,134,131,129,120,83,59,74,90,92,88,95,95,80,81,94,90,81,78,68,51,69,142,154,144,136,132,132,136,134,129,126,109,80,72,73,79,86,89,92,94,81,68,79,71,78,77,73,57,96,104,136,138,141,140,138,140,139,141,133,116,84,68,75,83,86,85,90,87,75,69,73,73,81,79,105,85,129,75,144,142,142,138,140,145,145,141,136,123,82,60,74,85,96,92,92,88,82,77,71,84,76,75,91,86,82,28,141,141,145,145,143,140,140,134,129,104,70,70,78,81,84,85,85,84,83,75,74,88,80,77,73,85,95,72,149,148,144,144,140,141,140,135,131,103,61,60,59,55,58,62,69,71,67,73,69,75,75,70,69,75,91,79,148,148,143,142,143,144,135,132,143,122,60,48,50,45,73,82,71,111,133,97,99,62,61,74,68,63,55,54,139,141,143,139,138,137,129,136,139,109,64,53,57,53,53,64,73,93,102,82,70,79,83,85,40,49,68,45,132,132,137,135,131,129,127,129,125,91,59,60,60,59,54,51,132,139,85,66,64,89,135,51,8,20,79,88,128,127,127,130,129,126,125,127,127,85,52,43,56,65,53,76,119,63,83,65,63,93,88,11,51,40,70,119,125,127,124,128,128,126,127,126,127,85,48,37,39,53,48,57,71,52,59,57,60,68,64,72,77,67,81,116,127,120,113,115,114,112,115,113,103,74,49,42,50,60,56,54,101,60,104,89,75,63,98,64,47,51,80,111,112,114,103,92,88,87,86,81,62,55,55,91,86,69,81,63,83,85,115,56,45,34,97,75,55,64,55,83,94,99,88,76,69,73,74,72,96,142,143,146,114,89,83,78,51,50,97,42,59,30,53,91,53,69,48,58,86,87,100,108,113,119,150,129,138,145,147,119,134,156,155,82,61,49,71,74,51,42,93,57,53,70,46,56,125,87,169,189,170,142,171,94,140,122,141,151,144,141,160,116,46,93,61,60,40,87,163,85,53,71,54,52,127,93,142,167,169,155,155,78,128,103,132,146,141,142,145,135,94,134,127,80,21,109,149,97,91,130,79,48,101,107,155,171,176,178,153,115,74,90,134,139,132,113,123,130,139,123,139,103,30,103,126,91,121,145,112,59
15,47,49,49,50,52,53,55,57,59,63,72,82,93,101,108,113,116,118,119,123,127,131,133,135,138,140,141,143,50,49,48,50,51,55,54,57,60,63,71,84,93,102,107,112,116,118,121,123,127,131,135,136,139,141,142,146,52,49,49,49,51,55,56,58,60,64,75,84,93,103,107,113,117,120,123,124,128,131,135,137,138,141,144,146,51,49,49,49,51,54,49,55,61,65,75,85,93,101,108,114,118,121,123,126,131,133,137,138,141,144,147,149,51,49,49,50,48,50,94,73,56,60,75,87,97,102,108,116,118,120,122,125,130,132,137,139,141,145,147,149,50,48,48,51,43,70,164,134,106,84,76,83,92,103,113,117,120,120,122,126,130,134,137,140,144,145,146,148,51,49,49,50,46,58,131,137,122,128,113,109,97,93,100,109,114,119,123,129,135,136,138,140,144,145,147,150,50,50,50,51,51,47,65,98,84,100,114,121,120,115,100,100,98,102,105,108,117,128,138,146,143,147,148,150,50,49,50,50,51,53,52,58,62,74,86,85,107,121,115,111,106,111,114,107,88,84,74,114,152,145,151,152,50,49,49,50,51,52,56,58,58,67,74,70,79,100,99,96,89,105,129,134,113,93,72,42,115,158,148,153,50,49,49,49,50,52,55,59,58,67,80,89,94,95,93,93,75,103,126,130,119,108,100,66,52,135,155,151,51,49,49,49,51,53,54,58,58,66,79,88,99,107,110,109,103,137,132,125,128,125,115,96,68,56,143,157,51,49,49,49,50,53,55,56,60,68,74,89,99,103,116,119,138,161,118,106,141,122,127,120,92,49,61,153,50,49,49,49,51,53,54,57,60,61,105,112,106,107,97,116,153,115,102,77,146,105,137,138,98,69,39,77,49,49,49,49,51,51,53,56,57,63,137,129,129,136,121,89,95,78,45,54,134,88,140,138,100,74,53,37,49,48,49,48,49,51,53,55,58,66,103,105,133,157,137,93,92,95,65,66,105,105,133,131,101,80,55,46,49,48,48,47,47,51,53,55,58,66,78,93,117,142,114,96,116,109,104,105,99,96,83,100,93,73,52,46,47,47,46,47,46,47,49,52,55,65,79,88,101,100,80,100,117,110,110,122,119,93,54,59,71,61,55,50,46,42,44,45,47,48,48,50,53,65,79,88,88,132,108,73,88,111,118,122,119,85,53,51,57,54,57,58,45,43,43,44,45,47,49,50,55,64,78,91,85,153,151,75,20,38,96,109,111,80,55,57,56,54,60,59,46,43,42,43,45,45,49,49,54,66,78,90,89,139,138,71,23,11,28,88,87,61,53,57,58,57,60,61,45,43,42,42,44,45,47,47,54,66,78,90,88,136,140,54,47,53,16,55,85,59,57,61,66,64,61,57,42,41,40,40,43,45,48,46,52,61,76,88,90,129,138,39,91,75,56,63,80,95,80,77,68,64,60,55,41,40,39,39,42,43,45,47,51,62,74,85,86,130,145,26,91,127,50,96,85,88,68,63,58,57,57,57,36,34,32,31,35,35,37,37,42,55,69,82,81,138,133,27,74,154,65,64,133,54,56,51,41,45,47,47,93,90,86,83,80,79,77,78,80,85,92,97,97,121,78,43,109,132,67,82,141,109,128,97,31,28,30,29,74,73,72,71,68,70,73,76,76,74,71,67,65,72,48,57,80,76,65,78,83,87,83,84,53,33,33,42,62,61,61,60,59,59,60,59,59,60,60,55,54,58,64,65,60,59,63,62,60,58,58,59,64,59,64,62
12,155,157,159,162,163,164,167,170,171,172,172,172,174,173,173,174,173,173,174,174,173,172,172,172,171,170,170,169,157,160,161,163,165,166,169,172,173,174,173,174,175,175,175,176,176,174,176,177,176,174,174,173,173,172,171,171,158,160,163,165,166,168,171,171,174,176,176,175,176,177,176,178,177,178,178,178,178,178,178,176,175,174,173,173,158,160,164,165,167,169,171,173,174,176,176,179,179,178,178,180,180,179,178,179,179,180,179,177,177,176,175,174,160,163,165,167,170,171,173,175,176,178,179,180,180,178,182,182,180,180,181,181,179,180,179,178,178,178,178,176,161,163,166,168,172,173,176,177,178,179,180,179,181,180,168,177,186,172,150,171,183,180,180,180,180,180,180,178,163,165,167,170,172,174,177,180,181,180,181,179,202,197,150,142,206,165,111,112,188,183,185,181,181,181,181,181,164,167,169,171,173,174,177,179,181,181,181,180,225,208,159,132,202,161,104,70,148,139,145,185,182,183,183,183,166,169,172,173,176,177,178,179,180,183,190,150,160,195,152,121,196,154,99,79,163,126,71,150,187,184,184,185,166,168,171,174,176,178,181,182,178,211,202,161,104,148,143,113,190,154,92,116,174,136,77,100,193,186,185,184,166,169,171,174,177,180,181,182,194,227,216,171,115,98,162,114,204,188,119,142,185,148,79,89,192,188,186,185,167,171,173,175,178,180,182,179,214,200,211,174,119,84,173,116,177,175,101,154,213,161,74,92,193,189,187,187,169,172,175,177,179,183,184,184,222,193,197,174,117,67,106,93,67,126,112,153,170,108,50,98,195,189,188,188,171,174,176,178,180,184,182,210,220,176,181,169,119,72,49,51,50,156,193,182,153,123,60,109,196,189,190,188,172,175,177,180,182,183,185,225,204,160,158,163,124,78,63,73,155,185,177,165,141,124,83,131,198,192,191,188,173,175,179,182,183,185,194,224,197,169,137,155,155,81,62,177,208,184,165,150,118,100,81,136,198,192,192,190,174,176,179,183,185,184,209,224,201,180,144,122,129,86,136,220,211,179,160,140,108,92,71,147,200,194,194,192,176,178,179,184,187,183,217,223,201,177,162,130,128,147,208,223,207,172,152,127,99,86,65,163,199,195,194,193,177,179,182,185,188,185,218,223,203,184,171,144,147,156,216,222,199,165,141,119,94,83,57,153,201,194,195,194,178,179,182,186,188,186,215,227,209,192,181,157,138,171,218,214,188,161,132,107,88,77,59,174,200,194,195,195,179,181,184,186,188,188,209,227,210,193,180,163,144,192,209,195,175,153,126,99,82,62,121,202,197,195,196,196,180,183,186,187,189,190,204,224,203,188,170,156,165,198,185,180,161,139,114,91,67,108,198,200,198,197,198,197,181,183,186,187,189,190,208,221,197,186,167,165,185,195,172,170,150,126,104,77,104,195,202,201,200,199,199,198,182,184,187,189,192,188,218,220,204,195,180,179,194,192,169,159,139,119,91,85,184,204,202,201,200,200,200,200,183,185,188,190,194,188,233,229,217,198,187,192,193,179,164,136,122,102,75,146,205,204,203,201,201,201,200,200,183,186,189,190,192,192,236,228,225,203,196,193,181,167,146,118,108,76,122,200,207,205,204,202,202,202,201,200,183,187,190,192,190,196,226,214,217,197,192,181,173,150,130,112,93,85,183,208,207,207,205,203,203,202,202,201,184,187,191,193,188,202,220,197,192,181,180,182,166,137,130,107,77,127,203,208,207,207,206,205,203,204,203,202
10,83,89,94,91,77,62,72,43,35,62,62,69,71,84,96,100,104,111,114,119,124,128,128,132,133,136,138,139,90,96,101,93,83,65,82,37,42,63,65,65,91,122,94,102,106,113,116,121,124,128,130,133,135,136,137,139,99,104,110,96,89,67,89,31,49,63,67,60,128,146,80,103,109,115,119,122,126,129,132,134,136,137,139,139,107,113,117,100,93,71,92,27,55,64,68,63,116,153,82,92,116,117,121,125,128,132,136,137,138,139,139,140,115,122,123,102,95,78,92,24,60,64,68,68,96,154,98,80,120,122,126,129,132,137,140,142,143,143,143,144,122,131,128,107,96,86,87,25,66,65,68,72,84,152,125,77,117,129,132,134,139,144,147,148,148,149,149,148,129,138,130,112,95,96,80,29,69,66,70,74,80,143,143,84,107,137,135,140,145,149,152,153,154,154,154,155,135,143,132,118,94,107,71,35,70,67,71,76,84,131,154,93,93,143,141,146,149,154,157,159,159,159,159,160,139,149,132,122,92,116,59,43,71,68,72,77,87,131,169,109,87,146,147,151,155,159,162,165,165,166,166,166,143,152,133,126,92,123,50,47,69,69,72,78,90,133,168,116,86,149,153,156,160,163,166,169,170,171,170,170,148,154,134,130,92,127,37,74,77,69,72,80,94,132,156,116,82,146,157,159,165,168,171,174,175,176,176,176,151,157,135,129,96,118,83,122,71,77,89,80,99,138,139,120,78,140,163,163,169,173,176,178,178,179,179,180,154,156,135,126,100,115,113,115,68,63,64,68,94,146,127,146,74,130,169,166,172,177,180,181,181,181,182,183,157,157,138,123,104,135,88,106,93,68,58,51,55,82,105,124,70,116,174,169,176,180,183,184,184,184,185,186,159,156,142,118,111,112,60,67,109,97,79,51,37,62,85,94,79,96,174,173,178,182,184,186,186,186,187,188,161,154,148,115,120,98,58,103,122,110,78,54,45,51,67,79,77,80,172,177,180,184,187,187,188,189,189,190,163,153,151,110,136,73,83,165,143,107,82,64,57,53,61,67,70,79,173,179,182,186,189,190,191,192,191,192,164,153,151,105,141,60,93,167,139,94,101,83,63,58,57,62,64,82,177,180,185,188,191,192,193,193,194,194,166,153,151,103,146,53,63,179,170,82,74,100,81,68,55,56,62,89,182,181,186,190,193,193,194,194,195,196,165,155,154,104,149,43,66,178,176,76,104,102,100,80,58,57,55,103,185,180,187,191,194,194,195,196,197,197,165,156,154,107,155,37,65,164,129,93,157,121,100,93,65,60,52,109,188,181,187,191,194,196,197,198,199,199,165,159,150,111,152,33,61,150,165,134,162,141,108,97,78,66,55,117,187,181,187,191,194,195,196,198,199,198,166,164,145,118,145,30,62,123,168,146,154,142,130,102,81,71,56,121,187,182,187,190,194,195,196,197,199,199,167,166,139,128,133,21,68,80,157,168,154,152,130,109,87,74,57,116,186,181,186,189,192,195,197,196,198,199,166,168,131,133,131,52,88,73,148,170,151,165,124,107,84,76,61,129,192,188,193,197,200,202,203,205,206,208,159,169,128,133,156,103,98,95,124,168,148,158,123,99,85,81,65,108,137,140,143,147,153,155,158,161,165,163,164,168,124,141,151,91,90,94,93,152,146,136,129,112,102,84,61,85,102,100,100,101,101,102,102,101,102,69,166,164,121,147,147,95,95,98,95,118,127,120,130,134,125,85,55,60,109,106,109,111,111,109,108,113,89,60
5,149,149,149,149,150,150,150,149,149,148,148,149,148,147,146,145,144,143,142,141,140,139,139,137,136,136,135,135,153,152,152,152,153,152,152,152,153,151,150,150,149,149,148,148,147,145,144,142,143,142,140,139,137,137,137,136,156,156,156,155,155,155,155,155,155,155,154,153,152,152,149,150,148,145,148,145,144,144,143,141,140,139,137,135,158,158,158,157,156,159,159,158,157,157,157,156,154,151,152,167,118,126,154,147,146,145,144,143,142,140,139,137,160,160,161,160,163,152,158,162,159,160,158,156,159,154,141,110,89,143,153,149,149,149,147,145,144,142,141,139,163,164,166,162,181,127,131,171,163,162,160,169,162,117,97,118,148,156,153,152,151,151,149,147,147,145,143,141,167,166,168,166,177,108,129,174,165,160,167,163,113,104,160,168,164,160,156,156,158,154,151,150,149,147,144,144,170,169,169,170,165,105,150,175,163,149,142,107,109,147,123,124,124,125,124,121,140,152,155,153,151,149,148,147,172,172,172,173,151,108,166,176,163,130,99,104,165,104,91,100,117,128,130,128,125,142,121,150,154,151,150,150,175,175,175,175,162,108,151,180,157,121,98,117,128,95,100,94,101,101,92,102,108,107,111,156,155,153,152,150,177,177,177,177,167,109,140,186,149,119,101,98,107,107,86,72,69,68,71,77,79,82,137,161,158,155,154,153,178,179,179,178,161,120,106,176,149,110,84,84,95,90,72,76,85,81,94,95,115,129,120,109,154,161,155,154,180,182,181,183,153,131,125,124,126,111,95,83,78,64,72,92,75,100,131,135,150,133,124,118,117,157,158,156,183,182,183,185,181,146,144,133,110,115,103,82,80,72,75,74,106,174,178,176,171,151,155,149,114,158,160,158,184,184,184,184,187,175,146,158,152,126,92,76,71,81,70,124,180,175,171,173,150,147,154,113,139,168,159,160,185,185,186,187,185,190,169,162,163,138,107,72,73,67,94,191,179,174,179,160,131,153,126,108,169,165,163,162,187,186,188,188,188,189,186,160,168,147,115,75,74,70,103,164,173,186,170,145,140,136,85,145,175,166,166,164,187,188,188,188,189,190,189,167,172,154,122,84,74,89,87,100,120,143,137,140,137,92,120,177,169,169,167,165,188,189,189,189,190,190,190,163,176,162,125,92,75,89,91,103,122,108,119,137,100,118,181,172,171,170,168,166,189,190,191,190,190,190,192,163,178,162,126,104,78,83,92,102,119,121,104,99,107,180,177,174,172,171,169,167,192,191,192,193,192,192,193,164,181,162,131,115,83,79,94,106,116,111,85,82,173,182,177,176,174,172,171,169,193,193,194,194,193,194,192,167,176,159,136,115,86,76,95,105,108,92,77,164,186,179,179,178,176,173,172,170,194,194,195,195,194,195,193,168,167,154,134,116,88,74,93,95,96,66,127,195,180,182,180,179,178,175,173,171,195,194,195,195,196,196,194,167,164,153,132,116,87,76,89,94,79,81,183,186,184,183,182,181,180,176,174,173,196,196,196,196,196,198,190,169,166,151,132,113,87,77,85,79,67,159,193,185,186,184,183,182,179,177,176,174,196,197,197,197,198,200,187,174,169,154,137,107,82,76,68,70,155,197,187,188,187,184,183,182,180,178,177,175,196,196,196,197,198,197,183,174,167,157,132,97,78,67,97,178,198,191,190,188,188,186,184,183,181,179,178,176,195,196,196,197,197,192,174,160,163,150,121,87,76,76,183,199,188,191,189,188,187,185,183,182,182,179,178,177
12,174,176,178,177,177,178,179,178,179,180,180,179,180,182,181,181,181,180,180,180,180,181,179,179,179,178,178,178,177,178,179,179,180,181,181,181,181,182,182,182,183,181,182,183,182,181,181,181,182,183,181,181,181,180,180,178,179,179,180,181,182,183,183,184,183,184,182,173,180,195,174,163,179,185,184,184,185,185,184,182,182,182,181,180,180,181,183,183,184,184,183,185,183,211,196,166,146,214,190,153,138,189,185,185,188,185,185,185,184,184,183,183,182,184,185,185,185,186,187,186,190,234,216,183,131,194,216,174,112,170,179,155,168,190,187,187,187,186,186,185,184,185,186,188,188,188,188,187,195,236,231,193,141,158,229,189,139,107,172,150,112,175,190,190,190,188,187,186,185,186,188,188,188,191,191,189,199,226,234,200,154,130,222,197,160,99,143,154,97,130,197,191,193,191,190,189,186,187,189,189,190,192,192,190,202,213,225,214,167,116,191,201,162,112,90,137,102,121,200,194,193,191,191,190,187,189,191,192,193,193,193,194,192,177,203,215,192,153,136,187,149,96,59,100,98,129,200,195,194,193,194,193,190,191,193,193,194,190,198,217,167,139,161,183,191,150,94,113,113,69,87,122,86,144,202,196,196,195,195,195,190,190,194,196,193,208,231,207,140,115,123,115,148,118,87,102,134,116,157,139,85,170,200,197,198,197,196,195,192,193,193,193,207,235,216,184,139,116,82,78,97,134,127,142,180,205,184,127,85,187,204,199,199,198,198,197,192,194,195,196,225,210,185,191,160,130,86,79,85,86,94,119,170,215,221,197,140,122,188,202,200,199,199,199,194,193,194,200,225,201,172,195,172,134,97,74,92,96,95,93,173,206,223,203,163,125,115,202,201,200,199,199,194,193,193,216,223,196,160,181,183,175,135,82,96,113,109,170,210,204,196,177,168,155,104,184,204,202,201,200,194,196,196,213,234,211,174,134,179,200,154,97,94,122,170,217,214,202,187,148,151,142,105,193,205,203,202,202,195,196,197,207,234,224,195,148,136,169,190,163,103,186,224,215,206,192,177,143,123,108,121,209,205,203,203,203,196,196,198,207,235,230,204,167,160,142,151,149,171,231,228,215,198,183,163,137,105,85,159,210,206,205,204,203,196,197,198,204,228,231,215,181,175,164,134,163,225,230,229,211,184,170,144,130,95,91,196,206,205,206,206,205,196,196,196,199,220,226,225,199,183,170,164,158,222,229,224,200,167,151,132,124,87,125,212,206,206,207,206,206,195,195,196,195,208,228,229,215,194,176,175,156,209,224,209,188,151,132,134,113,79,167,210,206,206,206,206,205,195,196,198,196,193,229,230,217,197,179,172,165,191,216,191,166,138,124,136,100,91,201,208,207,206,205,205,204,196,198,199,201,191,219,218,198,186,177,172,170,176,192,174,146,131,130,123,85,138,213,207,206,206,206,206,206,196,198,199,204,195,213,208,183,175,172,173,166,167,175,164,149,127,122,104,95,195,210,208,207,206,206,206,206,196,200,200,202,198,208,205,185,184,183,176,165,162,176,171,143,111,106,85,159,212,209,208,208,208,208,208,207,197,198,201,200,199,205,211,196,193,189,181,173,158,181,162,122,99,88,114,208,208,210,208,208,208,208,208,207,193,195,198,200,199,202,220,200,201,196,185,181,149,177,145,115,96,83,175,213,210,209,209,209,208,208,207,207,130,132,134,139,139,178,227,211,207,205,190,182,145,166,139,115,88,95,193,198,199,201,204,206,207,208,207,206
11,149,153,156,159,163,164,166,167,169,169,168,167,169,167,166,164,163,161,160,160,157,156,155,153,151,150,149,145,152,156,159,163,165,166,169,170,171,172,170,170,170,169,169,167,166,165,163,162,159,159,158,157,154,152,149,148,155,159,161,165,168,169,171,172,173,174,173,171,172,171,169,168,169,168,165,163,163,162,159,158,156,155,152,150,157,161,164,167,170,171,174,174,174,176,175,176,175,173,172,171,164,167,170,167,164,164,162,159,159,157,155,152,159,163,166,168,171,174,177,177,176,177,176,177,177,177,173,181,162,98,166,168,166,166,166,162,162,160,156,154,161,166,167,170,174,176,177,178,177,178,178,178,178,178,174,188,172,68,137,178,167,169,168,167,165,161,159,158,163,167,171,173,176,177,179,180,179,180,180,181,180,178,176,188,165,77,129,183,168,169,169,168,165,163,161,160,165,168,173,175,177,179,183,184,184,183,183,182,182,182,175,195,178,88,128,185,172,170,169,168,167,164,162,160,166,170,173,177,178,182,185,185,185,185,184,182,183,185,177,204,189,97,116,187,173,172,171,170,169,165,164,162,169,172,175,178,181,184,185,187,186,186,186,185,184,185,179,206,171,83,115,188,173,174,173,173,170,168,165,163,170,174,176,180,183,185,186,187,187,187,187,185,188,192,187,206,162,76,121,190,175,176,175,174,172,169,167,164,172,176,180,184,186,187,187,188,188,190,195,195,176,133,163,213,159,82,132,190,176,178,177,175,174,171,170,166,176,177,181,185,187,188,189,196,200,183,145,165,162,94,79,179,129,68,146,190,179,179,178,177,176,173,169,168,176,179,182,185,190,190,191,151,161,176,104,52,140,122,49,59,68,49,172,189,183,181,179,177,177,175,170,169,178,182,185,187,190,196,196,134,65,159,124,47,140,120,47,33,38,72,194,184,184,183,184,182,181,180,174,169,178,183,187,190,189,211,203,168,63,132,135,47,126,97,43,35,34,85,199,185,187,183,177,171,159,155,173,177,182,185,187,190,201,226,208,163,66,85,112,37,105,91,39,23,20,79,202,185,186,178,165,155,126,107,104,146,183,187,190,189,215,205,181,160,74,44,94,39,131,107,51,15,26,87,204,178,190,189,145,106,73,66,45,67,185,187,193,191,219,223,187,147,52,67,116,44,176,162,70,25,48,80,172,183,183,126,50,36,88,120,112,131,186,189,194,193,225,227,191,123,76,101,191,79,166,160,44,42,95,109,156,173,127,44,50,159,195,190,188,183,186,189,194,193,227,222,172,143,133,85,222,102,49,113,83,113,114,106,128,107,42,66,185,194,184,181,178,176,185,190,194,193,223,218,188,163,122,105,156,91,104,165,156,129,104,83,82,37,55,194,193,186,186,184,181,178,187,192,196,195,215,217,200,170,150,170,181,188,162,146,133,113,98,66,34,45,178,199,189,190,188,186,184,180,188,193,198,197,209,212,193,167,135,135,158,165,147,141,114,103,88,26,66,181,201,194,194,192,191,186,184,182,187,193,193,203,208,204,185,138,109,132,150,142,135,118,104,91,34,84,202,205,194,195,194,193,190,187,185,183,185,197,74,35,179,187,164,130,133,145,142,130,114,93,60,36,111,209,201,197,196,194,193,192,189,186,183,181,200,132,15,3,69,163,178,172,162,132,130,106,73,26,67,178,212,201,199,199,197,194,193,192,190,187,184,181,188,54,16,28,14,53,136,151,137,118,104,79,36,33,200,216,201,202,200,199,197,195,194,192,189,186,185,183
5,161,167,170,173,178,183,187,190,193,195,195,199,201,202,203,204,204,204,203,203,203,202,202,202,200,199,199,198,162,168,171,173,180,185,190,192,192,206,202,165,204,203,205,205,206,206,206,206,205,203,203,202,201,201,201,200,163,170,173,176,181,187,191,194,189,226,197,153,205,205,206,206,207,207,207,208,206,205,205,205,204,202,202,200,164,171,173,176,183,187,191,193,199,244,158,173,210,206,207,208,208,208,207,205,207,204,205,205,205,204,202,201,165,171,174,175,182,189,194,189,225,244,141,194,209,207,208,209,210,207,208,219,232,165,187,211,205,205,203,202,166,173,172,190,185,184,196,187,244,232,149,204,209,209,210,213,208,213,244,229,190,155,199,211,207,206,204,203,167,175,166,224,195,153,201,192,255,214,155,209,210,211,213,210,219,255,233,161,161,204,211,208,209,207,206,204,167,176,167,229,188,150,201,198,255,196,157,214,211,213,210,220,255,237,172,155,207,215,211,209,209,208,207,207,169,177,172,245,175,159,201,209,255,184,152,216,211,211,221,253,224,166,163,212,217,213,212,211,211,210,208,207,170,177,175,243,184,153,201,214,255,197,146,209,214,213,247,233,157,152,212,218,215,214,213,213,212,212,210,208,170,180,173,233,212,146,200,209,252,200,139,204,218,224,237,190,143,195,224,214,217,216,216,214,214,213,212,210,172,181,175,215,237,151,166,205,245,199,127,184,215,203,187,155,171,220,214,216,219,218,216,215,210,211,213,211,174,180,178,199,243,199,179,168,218,220,157,139,159,163,149,156,209,210,240,246,242,238,230,218,161,182,224,210,175,181,183,190,212,225,218,190,188,207,165,140,140,148,147,177,196,221,215,202,213,230,218,201,171,145,201,218,176,182,184,190,194,202,222,235,239,214,167,137,136,140,159,163,165,184,151,144,225,237,198,171,157,150,198,220,176,182,183,190,199,198,203,242,255,239,181,136,137,137,147,157,149,132,162,217,249,203,154,168,205,218,220,216,178,183,185,191,198,205,205,223,255,251,195,142,134,132,138,146,130,170,234,227,223,161,150,221,226,220,220,219,179,183,186,193,199,205,210,209,247,255,219,158,131,132,130,128,118,175,207,212,221,155,181,231,221,221,221,220,180,184,186,194,200,205,211,209,239,255,235,182,137,127,126,134,148,172,181,206,211,151,200,231,223,223,222,220,179,184,186,194,199,203,209,210,224,255,250,207,152,127,128,137,149,181,198,193,196,150,208,230,223,224,223,221,178,183,185,192,199,204,208,210,221,255,255,228,174,131,130,136,161,194,197,174,166,142,213,229,224,223,222,220,178,183,186,193,200,207,212,212,220,255,255,238,192,143,127,143,174,198,190,158,143,167,230,227,226,223,222,222,180,186,186,194,200,205,211,213,218,255,255,241,211,160,133,136,179,191,182,148,144,221,231,227,227,225,223,223,179,185,186,193,199,206,209,213,216,252,255,244,223,180,148,133,167,184,169,141,158,233,227,227,226,224,222,222,177,183,187,194,201,207,213,219,218,245,255,255,234,204,165,141,145,169,157,138,194,241,232,233,232,229,228,230,170,174,178,182,184,189,191,196,190,236,255,255,243,211,170,149,142,156,146,144,191,199,195,195,195,195,196,186,139,140,140,141,140,138,138,142,127,221,255,255,239,197,165,152,145,146,146,140,131,130,128,129,129,126,123,174,145,145,146,145,146,144,146,150,135,217,255,255,218,170,155,148,146,148,144,138,138,138,137,137,134,140,215,253
14,161,162,164,166,165,166,168,168,168,169,169,168,169,168,168,167,167,166,165,165,164,164,164,162,161,161,159,159,162,164,165,167,167,168,170,170,170,171,171,170,172,171,171,170,169,168,168,167,166,166,165,164,163,163,163,161,164,165,167,168,169,170,171,171,171,172,172,172,173,174,172,172,171,170,170,169,168,167,166,166,165,165,164,163,165,166,168,170,171,172,174,173,174,174,174,174,173,172,173,175,174,172,171,171,171,169,168,168,167,166,166,165,166,168,170,171,172,174,176,176,176,176,176,176,184,167,160,167,166,176,174,172,172,171,171,169,168,167,167,166,167,169,171,172,173,175,176,177,176,177,179,191,185,169,158,155,144,152,175,175,174,173,172,172,171,170,169,168,169,171,173,175,176,176,177,178,179,180,193,190,185,173,176,164,140,117,126,182,175,175,174,173,172,171,170,170,172,173,174,176,177,177,177,180,179,188,195,192,174,107,158,158,151,122,78,137,183,175,176,174,173,173,172,171,172,174,175,176,178,180,178,181,185,198,169,132,122,91,87,98,163,156,83,92,176,178,176,176,175,174,173,172,173,175,177,179,181,182,181,195,205,194,155,111,80,77,70,55,142,178,125,86,163,183,177,177,176,175,174,174,176,177,178,180,183,181,189,206,194,162,137,117,89,60,77,59,93,141,124,85,139,187,178,178,177,176,176,175,176,177,179,181,182,181,205,202,181,138,95,93,84,71,62,87,170,153,155,116,118,189,178,180,179,178,177,176,176,177,180,183,179,203,211,192,180,137,97,72,73,61,103,180,188,181,162,100,117,189,181,182,179,179,178,177,177,180,184,178,197,215,197,191,164,125,106,76,63,86,188,192,183,167,152,92,107,193,182,184,183,181,181,180,179,182,181,188,218,208,199,186,159,135,102,63,52,115,178,192,186,156,145,98,77,166,189,184,184,183,182,181,181,184,180,209,219,206,194,178,157,123,90,63,74,79,83,175,167,140,138,111,86,131,196,184,186,184,183,182,183,182,192,222,214,202,189,175,139,105,77,81,100,101,97,104,125,150,141,108,87,163,193,187,186,185,184,184,182,181,212,217,206,195,180,161,124,105,81,103,113,115,120,107,118,143,130,86,144,196,187,189,187,187,186,185,183,196,222,208,200,185,175,153,124,105,96,113,117,120,114,118,114,136,96,123,196,188,189,188,187,187,186,185,164,219,220,203,189,181,167,150,130,101,102,117,117,115,105,120,109,88,113,196,192,191,191,190,189,188,187,186,91,152,209,195,171,160,148,137,107,95,101,108,113,107,103,104,75,102,190,196,192,192,192,191,189,189,188,187,93,83,115,157,167,140,113,88,78,90,90,96,104,97,86,104,147,194,198,193,194,193,192,192,191,190,189,188,86,88,82,90,100,96,85,75,75,78,78,77,78,82,129,194,205,197,196,196,194,194,193,193,192,191,189,188,84,82,85,85,51,50,59,56,55,57,50,84,128,166,205,199,197,198,197,197,196,195,194,193,193,192,191,189,82,81,78,85,75,38,52,50,46,47,41,65,191,210,197,200,200,199,198,198,197,196,195,194,193,193,192,191,80,78,76,80,80,40,44,48,46,46,43,51,184,204,200,201,200,200,199,198,198,197,196,195,194,193,193,192,72,74,71,78,80,36,42,45,44,46,33,106,216,199,203,202,201,200,199,199,199,198,197,197,195,194,193,193,81,105,65,82,66,33,43,42,41,44,32,148,214,199,203,202,201,200,200,200,199,198,198,198,196,194,194,193
7,201,201,201,201,201,201,201,201,201,200,200,199,198,198,197,196,196,195,194,192,190,189,189,186,185,184,182,180,203,203,202,202,203,203,203,202,202,202,202,201,201,200,199,197,196,195,195,194,192,191,190,188,187,185,184,181,203,203,204,204,204,204,205,205,204,203,204,203,203,202,201,199,198,197,196,195,194,192,190,190,189,187,186,184,205,204,206,206,206,205,205,206,206,205,204,204,204,203,202,200,200,199,197,197,197,197,195,194,192,190,188,186,206,206,207,207,207,207,207,207,207,207,206,204,204,203,203,204,205,203,202,197,193,185,180,179,184,193,190,188,207,208,208,207,207,208,207,207,207,209,210,209,210,207,203,192,178,170,161,166,154,137,159,182,156,185,193,189,209,209,208,209,208,209,210,212,212,206,200,192,179,167,155,154,139,131,143,137,134,131,145,156,140,190,194,189,209,210,210,210,210,212,206,188,169,158,151,153,152,148,146,142,132,119,124,113,116,111,97,115,149,166,186,194,211,211,211,211,214,201,178,161,138,139,148,144,144,140,138,124,121,128,119,116,121,114,113,109,100,111,134,191,210,209,212,212,192,177,178,162,131,124,120,117,120,126,135,142,147,148,122,105,124,114,104,99,87,108,110,183,210,213,206,182,174,178,173,161,148,136,133,138,148,155,151,152,142,135,111,91,95,87,85,91,94,107,148,196,214,206,178,171,175,174,167,167,163,153,151,146,148,143,133,126,115,104,91,98,125,148,167,180,191,196,200,196,208,178,172,174,176,169,174,172,156,126,108,115,117,106,99,123,135,151,172,195,210,211,209,206,203,200,197,196,182,178,178,178,175,175,171,155,137,96,89,96,85,81,73,130,216,218,215,211,206,203,202,202,202,200,197,197,178,182,180,177,176,169,149,145,125,97,87,76,73,74,76,56,143,219,206,208,207,205,204,203,202,200,198,197,180,180,178,180,172,155,146,141,136,138,119,81,74,78,69,78,176,213,207,207,205,205,202,201,199,197,200,199,175,178,183,180,163,145,139,135,143,151,119,79,75,71,80,175,219,208,208,207,207,204,202,202,205,206,189,130,176,182,180,165,140,128,128,126,130,123,90,72,70,55,128,228,208,211,208,207,206,209,211,202,178,139,99,79,177,176,162,142,133,132,132,121,115,104,90,77,76,59,124,220,208,213,213,212,216,188,149,116,89,76,73,79,171,157,141,140,139,136,128,107,95,103,106,85,68,99,207,221,216,198,189,188,159,104,82,73,77,76,77,77,151,141,141,137,125,111,97,92,100,115,104,73,88,179,189,172,137,95,90,86,79,76,87,76,65,71,76,78,143,143,133,114,104,101,100,102,102,95,78,94,114,108,98,96,68,66,77,65,77,69,70,75,56,64,71,77,144,138,121,113,114,111,103,93,86,83,112,123,103,92,88,85,80,55,73,64,66,64,64,65,53,58,67,74,131,114,104,104,101,97,89,87,102,122,125,102,88,83,77,71,71,58,58,65,58,61,61,58,48,54,67,72,96,79,87,92,97,100,106,120,129,121,87,82,79,75,67,71,66,62,48,61,55,57,60,53,49,57,65,71,69,101,125,127,133,129,127,127,121,98,77,66,73,74,63,66,62,62,44,52,56,54,61,50,50,58,63,68,82,129,130,127,132,126,124,121,103,72,69,63,62,70,57,60,54,58,47,46,55,54,60,47,53,58,63,67,94,130,129,127,127,127,121,108,81,56,70,66,54,67,53,58,49,56,54,41,53,55,57,49,57,57,64,64
21,117,119,124,130,134,139,142,145,148,149,152,154,155,155,154,154,155,154,152,152,151,150,149,147,146,146,143,141,118,120,125,132,137,140,144,147,148,151,155,155,156,156,155,156,153,154,157,153,153,152,151,149,148,148,146,144,120,123,127,134,139,143,146,148,151,154,155,158,158,157,159,157,170,145,132,159,154,153,154,152,149,149,148,145,122,124,129,135,140,144,147,151,153,155,158,160,160,160,162,155,192,151,97,163,155,155,154,153,153,151,149,148,123,126,131,138,143,146,150,153,155,156,159,161,162,162,162,155,194,148,93,161,157,156,155,156,148,151,151,150,124,127,132,139,144,147,149,154,155,158,160,162,164,162,163,158,202,148,91,159,158,159,156,180,119,129,157,151,126,129,134,141,146,149,152,155,156,159,162,163,163,163,164,160,209,156,99,158,162,158,164,186,96,128,159,152,127,131,137,144,148,151,155,155,159,162,164,164,164,165,166,162,214,157,106,159,165,156,180,172,91,142,158,154,127,130,138,144,147,153,155,158,162,164,165,167,166,166,166,165,215,150,109,160,165,160,195,153,96,151,157,154,129,131,138,145,149,154,157,160,162,164,166,168,168,166,164,174,225,154,111,158,165,167,207,144,107,161,158,157,130,134,140,146,151,155,158,162,163,165,168,170,166,185,179,159,213,173,117,160,163,186,206,129,119,167,159,158,132,135,141,148,152,157,160,162,165,167,169,167,173,232,199,141,122,160,120,164,166,211,190,111,132,169,160,160,133,136,144,150,154,159,162,164,167,168,175,200,163,196,220,158,86,103,123,165,185,215,166,100,149,167,162,162,133,137,145,152,158,162,165,167,170,164,204,235,175,131,208,157,85,77,120,168,195,196,139,109,167,164,162,162,134,139,146,153,159,162,165,169,172,170,220,242,208,118,159,167,92,67,94,142,170,174,116,133,173,165,164,163,136,140,147,154,161,163,168,170,172,179,218,205,216,112,128,201,139,80,69,101,130,135,105,163,171,167,165,164,137,142,150,156,161,165,169,173,172,187,227,194,202,147,101,203,188,119,67,87,118,100,114,178,169,169,168,165,137,142,152,157,162,166,169,175,170,208,237,190,173,167,90,157,197,158,94,64,97,85,124,180,171,171,170,167,138,143,151,158,163,168,171,177,171,222,222,166,140,122,107,117,188,189,141,75,73,77,139,181,173,172,171,169,139,144,153,160,166,169,172,178,174,227,222,165,131,133,142,145,185,215,178,115,70,77,162,180,175,174,172,171,140,146,154,161,166,170,175,179,177,230,222,165,129,149,156,204,208,214,202,150,89,89,180,178,177,178,175,172,139,145,155,161,166,171,175,179,179,231,222,168,134,162,174,226,217,207,193,169,113,103,187,179,179,178,176,173,138,144,154,160,165,171,176,180,179,231,225,163,150,163,190,236,224,207,173,152,113,106,188,179,179,178,176,174,138,145,154,162,168,171,177,181,180,230,228,162,176,159,210,244,225,201,174,123,89,113,189,180,180,178,177,175,139,146,156,163,169,173,177,183,181,224,224,178,196,158,215,246,222,196,167,115,80,136,192,182,182,179,178,175,139,146,155,161,168,173,177,183,179,215,223,202,202,157,208,240,209,183,146,109,85,165,188,182,182,180,178,176,138,146,155,164,170,174,180,185,183,207,230,215,200,155,196,226,185,158,125,95,104,192,188,187,185,184,183,177,132,137,142,146,150,152,155,159,158,174,229,210,191,151,172,208,165,134,114,91,110,158,153,152,150,150,146,156
3,154,154,155,154,155,155,155,156,154,154,153,152,151,151,151,150,148,147,145,143,142,140,139,138,136,135,134,132,155,155,156,156,156,156,156,156,155,155,155,153,152,151,151,150,141,143,146,144,143,141,139,138,137,135,134,133,156,156,157,157,157,157,157,157,157,156,155,154,153,152,153,151,121,130,146,145,144,142,141,139,138,136,135,134,158,158,158,159,158,158,158,158,158,157,157,156,155,154,157,145,106,127,148,146,145,144,143,141,139,138,137,136,160,160,161,161,160,160,160,160,160,159,158,158,157,157,162,130,103,137,150,148,146,145,144,143,141,139,137,136,162,163,163,164,163,163,162,162,161,161,160,159,159,165,159,113,114,147,152,151,150,148,146,145,143,141,139,138,164,164,165,166,165,165,165,165,164,162,162,161,164,173,148,105,128,155,155,154,152,151,148,147,145,143,141,140,166,166,167,168,167,167,167,167,166,165,164,164,172,167,127,104,141,157,158,156,154,152,150,149,147,145,143,142,168,169,170,170,170,170,169,169,168,167,167,168,174,155,113,117,148,152,155,155,155,154,152,150,149,148,146,145,170,171,172,173,172,172,172,171,171,170,169,169,174,161,135,135,149,149,152,150,146,147,152,152,151,150,149,147,172,173,174,174,174,174,174,173,173,172,171,172,180,176,158,144,142,140,141,144,135,124,140,149,145,143,149,150,174,175,175,175,175,176,175,175,174,174,173,176,188,176,157,148,138,125,116,113,117,114,114,125,127,121,142,152,177,177,177,177,177,178,177,177,176,176,176,185,192,171,148,135,126,112,96,89,86,106,111,102,105,115,144,153,179,179,179,179,179,179,179,178,178,178,184,195,181,144,109,99,117,116,99,87,77,83,94,88,95,134,153,155,180,181,181,181,181,181,180,180,179,183,196,193,153,108,77,72,118,144,122,101,85,76,72,80,110,151,157,156,182,182,182,182,182,182,182,182,181,192,203,177,125,87,66,61,94,149,159,143,106,79,77,87,126,158,159,157,183,183,184,184,184,184,184,183,180,197,199,163,115,83,62,54,63,103,148,160,116,82,86,96,140,161,160,158,185,185,185,185,186,185,185,184,179,193,192,161,115,78,59,53,55,65,92,113,91,88,94,107,151,164,161,160,186,186,187,187,186,186,187,186,180,189,195,168,123,85,62,57,61,68,76,81,80,93,98,115,158,165,163,161,187,188,188,188,188,188,188,187,180,188,199,173,134,97,71,63,70,80,90,96,94,95,98,123,163,166,164,163,188,189,190,190,190,190,189,188,180,187,204,179,141,107,83,69,76,91,105,111,104,95,98,134,166,167,166,165,189,190,190,191,191,191,191,190,180,184,204,182,147,117,95,74,80,101,114,115,106,96,113,154,170,168,167,166,190,190,191,192,192,192,192,191,181,180,200,182,151,122,100,80,83,102,111,108,101,106,146,171,172,170,168,167,191,191,193,193,193,193,193,192,183,179,197,183,155,124,100,85,85,98,105,102,98,122,165,175,173,172,170,168,192,193,194,194,195,194,194,194,186,179,194,182,154,124,103,91,88,96,101,99,108,148,174,176,174,173,171,169,193,193,194,194,195,195,195,195,188,183,193,177,151,125,108,97,90,94,98,108,139,171,178,177,175,173,171,170,193,194,194,194,195,195,195,195,188,184,194,176,152,129,112,100,94,95,105,136,170,180,180,178,176,174,172,170,194,195,195,195,195,195,196,195,188,182,190,172,150,129,109,99,97,98,120,164,182,182,181,179,178,176,173,171
5,82,88,95,101,108,115,120,123,125,129,134,136,139,142,145,144,158,135,138,158,156,158,158,159,159,160,160,159,82,89,95,103,109,116,121,124,127,131,133,139,143,144,147,146,177,115,109,163,157,159,159,160,161,161,162,161,83,90,97,104,111,118,123,126,130,130,142,134,142,148,145,163,169,82,126,164,158,160,162,162,163,164,164,164,85,91,99,106,113,118,124,128,130,132,176,107,120,156,144,186,130,70,151,164,160,163,164,164,164,164,165,164,87,93,99,108,114,117,127,130,128,148,167,84,127,154,160,192,101,93,168,162,163,167,166,166,166,166,167,167,87,95,100,106,123,138,110,134,124,173,132,74,147,149,190,159,84,128,172,164,166,167,168,168,167,169,169,169,89,95,102,103,139,153,83,133,131,188,116,92,152,167,183,103,88,160,167,166,165,168,166,172,170,170,170,170,89,95,103,103,144,171,81,130,145,164,95,114,155,188,159,83,111,173,162,169,191,176,129,165,174,172,172,171,91,96,104,107,138,206,101,113,158,144,89,133,162,195,149,94,142,172,176,190,181,193,131,152,179,173,174,174,91,96,105,113,123,213,170,126,148,154,114,130,178,180,127,99,158,177,204,160,145,194,104,161,178,175,176,175,92,97,106,116,113,196,224,193,151,139,119,121,168,149,112,123,179,194,156,98,142,186,86,155,184,177,177,178,94,98,107,116,120,142,211,220,180,129,104,99,116,112,118,158,188,181,132,81,164,180,88,122,190,178,179,179,92,98,109,117,127,124,157,227,185,139,99,86,89,91,115,164,151,138,102,111,186,162,101,95,184,180,182,182,93,99,110,118,127,134,128,217,197,147,118,92,87,87,103,133,133,101,85,166,194,178,114,97,183,183,183,183,94,100,110,119,128,134,129,214,209,159,138,104,84,85,93,113,115,77,137,186,193,185,123,106,188,184,185,185,94,102,111,121,130,134,132,219,217,174,153,115,84,84,90,113,130,136,166,165,191,182,118,111,190,185,186,187,94,101,113,123,129,137,132,215,222,186,157,112,84,80,96,135,163,173,169,140,148,179,113,120,195,186,187,188,95,103,114,123,129,138,131,209,229,189,158,121,89,77,114,162,170,166,160,132,113,129,97,129,197,186,189,190,95,104,115,125,129,139,130,193,227,187,167,134,99,99,127,157,162,155,143,119,99,98,82,145,196,187,191,191,95,106,117,126,131,138,131,178,224,193,171,140,104,103,141,148,150,131,126,107,94,84,126,187,191,191,193,193,96,106,117,125,133,140,132,180,231,196,158,129,105,89,123,128,128,111,108,97,87,136,192,190,193,193,192,193,96,106,117,126,133,142,130,185,226,175,137,110,97,93,107,116,112,98,93,89,152,195,189,191,194,194,194,193,96,107,119,127,134,144,129,193,218,167,133,104,104,107,100,107,98,89,83,152,196,188,191,193,194,194,195,194,96,108,119,127,136,137,154,200,206,178,143,106,113,116,96,95,87,78,147,195,188,193,194,194,195,195,195,195,97,108,119,130,131,158,219,217,187,158,135,113,114,107,88,85,67,128,195,188,191,194,194,195,196,196,195,196,98,107,120,125,143,208,220,220,206,179,124,103,102,98,85,78,76,180,191,189,193,195,197,196,196,197,197,198,97,108,119,125,197,212,214,203,192,189,170,133,99,84,77,65,94,194,186,190,193,195,196,197,198,198,197,198,97,109,112,164,215,205,205,188,185,170,170,162,121,92,86,75,75,163,189,188,191,194,194,195,197,197,196,198
10,131,133,135,138,138,140,141,142,144,144,144,144,146,149,151,151,150,150,151,150,151,152,152,151,149,150,151,151,134,136,139,141,142,143,145,146,146,147,147,148,150,151,153,149,151,152,153,153,153,153,154,153,152,152,152,152,139,141,143,145,147,149,149,150,151,151,152,153,154,154,173,129,131,157,156,157,157,157,157,156,155,153,153,153,143,146,149,149,151,153,153,155,155,155,157,157,157,157,184,130,111,163,159,159,160,160,160,159,158,157,156,155,147,149,153,154,156,157,156,158,159,158,161,161,160,161,189,138,104,164,162,163,164,163,161,160,161,160,159,159,152,153,157,159,160,160,161,162,165,164,164,164,164,165,192,148,105,166,166,165,165,166,164,164,164,163,161,160,155,157,161,164,163,163,164,169,161,167,170,170,169,169,196,157,109,167,171,170,169,169,168,167,167,165,164,163,159,160,164,166,166,166,169,177,125,105,155,152,167,174,199,167,108,164,174,175,173,174,172,171,169,168,169,167,162,165,167,169,171,172,174,158,95,59,81,91,122,181,200,171,105,161,178,177,177,176,175,174,173,172,172,170,165,168,170,172,174,174,177,175,110,63,78,77,87,183,210,180,105,163,182,180,180,181,179,177,176,175,175,173,166,171,174,175,176,177,179,183,163,102,139,97,74,169,182,163,102,167,185,183,183,183,183,182,180,179,178,177,170,174,177,179,179,179,184,195,165,91,181,146,90,115,106,121,96,168,189,187,187,187,186,184,183,182,181,180,173,176,179,181,183,181,181,207,170,69,148,172,119,70,72,93,88,170,191,190,190,189,188,187,186,184,183,182,175,179,182,183,192,202,189,205,178,91,85,187,151,91,73,95,82,169,193,191,193,192,191,190,189,187,187,186,178,181,183,186,191,209,186,192,187,126,53,163,180,123,81,89,79,172,197,194,194,194,193,192,192,191,189,188,180,184,186,188,188,177,161,148,217,169,66,99,190,151,98,76,78,168,199,196,195,195,195,195,194,194,191,189,183,186,188,190,191,180,157,125,184,136,55,78,164,164,128,79,73,171,203,199,198,198,197,197,196,194,193,192,186,188,190,191,194,196,156,141,129,69,73,120,153,162,131,81,68,176,204,201,200,201,201,200,197,195,195,195,187,189,192,194,195,208,186,148,121,97,160,198,171,143,120,83,74,184,205,203,202,201,201,200,199,198,197,197,189,192,193,196,197,215,189,168,164,153,212,212,177,130,110,84,92,201,204,203,204,202,202,200,200,200,199,198,191,194,194,196,199,211,201,187,179,168,219,202,167,129,101,83,111,210,205,204,204,204,203,202,202,202,201,200,192,194,196,198,199,208,202,181,181,174,211,188,156,124,97,79,118,213,207,207,206,206,205,203,203,203,202,201,194,196,198,201,200,202,204,194,193,171,194,180,147,117,92,77,124,214,208,208,208,207,207,207,206,203,202,202,195,197,198,200,201,199,198,198,191,164,190,177,140,111,91,79,136,214,209,209,209,209,208,207,207,205,204,204,195,199,200,200,203,202,198,194,178,153,175,171,140,114,95,81,164,214,210,210,209,208,208,208,207,207,206,205,196,199,200,200,202,201,207,185,160,153,171,153,150,131,95,94,200,214,213,213,212,210,210,210,209,209,208,207,196,198,200,202,204,199,214,199,181,173,167,159,165,139,86,129,215,215,215,214,214,214,213,212,211,210,209,208,194,196,199,201,201,191,212,206,191,179,159,162,156,127,79,177,217,214,214,214,214,213,214,214,212,211,209,208
20,138,141,144,148,150,152,154,155,157,159,160,160,160,161,161,162,162,163,163,163,164,165,165,164,164,164,163,161,141,145,148,152,154,156,158,159,162,163,164,164,163,174,144,153,165,166,166,167,167,167,168,167,169,168,165,165,144,148,152,155,157,160,162,164,165,166,167,168,169,191,132,126,161,168,169,170,170,170,172,171,171,170,168,167,148,152,156,158,161,164,165,167,169,170,171,172,174,194,133,107,138,141,174,174,174,174,174,174,174,173,171,170,151,155,160,162,165,167,169,170,172,173,174,176,177,193,133,126,154,113,178,177,176,176,177,177,177,176,174,174,155,158,162,165,168,170,172,173,175,176,178,179,181,195,139,139,162,106,174,180,180,180,180,181,180,179,178,177,157,161,165,168,171,173,175,177,179,180,180,181,185,199,144,141,172,111,170,184,184,183,184,183,182,182,181,180,159,163,167,171,174,176,179,180,181,182,184,183,192,197,146,142,182,119,163,186,186,186,187,186,186,186,185,183,163,165,169,173,176,179,181,184,185,186,186,185,198,200,150,149,183,129,151,189,189,189,190,189,189,189,187,186,165,168,172,175,178,182,184,186,188,189,186,167,188,202,148,154,192,139,144,193,192,193,193,192,192,192,190,188,166,170,174,177,181,184,187,187,186,193,205,169,147,160,126,141,195,145,143,195,194,195,195,195,194,193,192,191,169,173,177,179,183,187,189,193,184,168,204,183,127,105,93,124,170,143,139,196,197,198,197,196,196,196,195,194,171,175,179,182,186,190,191,201,201,168,165,181,150,138,117,113,141,136,133,199,200,200,200,199,199,199,198,196,173,177,180,185,188,192,193,194,183,166,135,174,169,176,155,109,105,119,123,200,200,201,201,200,200,200,199,199,175,179,183,186,190,194,194,192,157,160,121,178,165,168,162,116,82,94,116,202,201,202,203,202,203,202,201,201,176,181,185,188,191,194,196,198,185,158,137,134,124,99,162,139,94,77,107,203,204,205,206,206,205,203,202,201,177,181,186,190,193,196,198,205,181,133,98,74,71,68,148,167,120,81,92,203,206,207,207,208,206,206,204,203,179,183,187,191,194,198,201,205,185,150,114,94,93,104,169,196,149,101,87,196,208,208,208,209,208,207,207,206,180,184,188,192,195,198,200,207,196,153,122,111,125,171,213,194,152,117,91,195,210,209,210,211,210,209,209,208,181,185,189,193,196,200,201,209,202,165,135,133,145,203,214,185,139,110,93,202,212,210,211,211,211,210,210,209,181,187,191,194,198,201,201,210,210,182,153,145,155,209,201,169,126,98,98,208,212,212,213,213,213,212,211,211,183,187,193,196,200,202,202,209,215,190,158,156,160,209,193,156,118,94,102,210,214,215,215,215,214,214,213,211,183,188,193,196,200,202,203,204,209,189,171,175,162,208,186,142,108,91,111,212,215,216,216,216,215,215,214,212,183,187,192,195,199,201,203,202,197,190,171,176,153,199,170,133,101,87,125,214,215,215,215,216,216,216,214,213,184,188,193,197,199,201,203,203,199,190,171,170,141,177,150,119,99,86,148,213,214,214,215,216,216,215,215,214,185,189,193,196,199,201,203,203,203,193,165,152,124,156,130,113,102,92,188,215,215,215,216,216,216,215,215,214,185,190,193,196,199,201,203,202,206,193,167,138,130,158,120,119,96,128,211,216,216,216,217,217,216,216,216,215,185,190,194,197,199,201,204,201,209,202,179,155,148,161,112,114,86,179,213,216,216,217,219,217,217,217,216,215
18,70,73,76,80,84,90,95,101,107,114,120,125,129,132,134,136,139,143,144,147,150,152,154,156,158,159,160,162,70,73,77,81,86,91,95,100,108,115,121,126,131,132,134,137,141,144,145,148,150,152,154,156,158,159,161,163,71,74,78,81,86,92,95,101,109,116,122,127,132,133,135,137,142,145,147,150,152,154,156,157,159,160,163,164,72,75,78,82,86,92,96,102,111,117,123,128,133,135,136,138,142,145,147,151,154,156,158,160,159,161,164,165,72,75,78,82,88,93,97,103,111,119,125,129,133,136,138,140,149,144,134,144,156,154,151,158,163,163,164,166,72,75,78,82,89,94,97,104,111,120,127,129,139,141,132,144,174,138,112,109,157,159,128,119,156,165,166,167,73,75,79,82,88,94,99,107,113,121,126,132,178,149,115,148,167,142,134,140,176,159,122,94,106,160,167,168,73,76,79,82,89,95,99,106,113,126,125,154,198,154,123,158,163,146,152,158,158,136,127,112,84,132,171,170,75,77,79,83,90,96,100,105,132,165,129,134,185,156,142,138,146,138,141,143,128,123,133,125,101,102,168,172,75,78,80,84,90,95,100,106,182,186,146,117,155,170,145,117,115,128,114,112,98,134,141,134,120,91,134,176,76,78,81,84,91,96,97,121,200,191,167,137,123,174,148,116,99,148,110,77,85,152,150,149,137,107,93,151,76,78,81,84,91,96,95,142,175,181,180,151,105,137,151,118,85,138,131,88,59,132,153,163,150,119,93,94,76,79,81,86,92,97,96,152,149,146,165,132,93,93,128,102,73,96,105,78,74,135,169,177,155,125,102,84,77,78,81,87,92,96,97,171,168,138,144,96,79,65,89,82,57,58,67,105,166,178,167,164,147,123,107,92,76,79,81,85,92,95,101,184,175,148,144,87,71,52,75,76,45,40,110,183,190,176,164,145,127,113,103,88,76,79,82,85,92,95,115,197,175,146,132,93,70,47,71,70,51,97,186,203,193,173,153,131,109,98,93,94,77,79,81,86,92,95,113,211,193,167,150,122,94,80,81,81,109,178,205,204,189,162,142,120,99,90,85,125,77,79,82,87,92,95,111,212,204,183,165,140,121,122,116,127,174,202,205,197,174,149,130,111,94,85,89,158,76,79,82,87,92,97,110,211,211,190,167,146,135,138,139,162,194,200,196,181,158,137,119,103,91,81,111,178,76,79,82,87,93,98,107,206,210,191,170,155,150,147,154,177,193,196,182,162,147,128,110,101,91,81,144,182,77,80,82,88,93,98,105,190,210,195,179,168,162,159,166,179,184,183,164,144,133,117,103,94,87,97,172,182,78,80,83,89,95,99,104,166,209,201,194,181,167,160,163,167,167,163,148,132,120,107,96,90,83,135,182,181,78,80,84,90,96,99,105,141,205,205,205,190,171,155,145,145,147,144,138,121,107,99,92,83,94,168,182,182,78,80,84,91,94,100,108,119,190,203,197,188,171,150,136,132,136,135,131,115,100,95,90,76,128,180,182,183,77,79,84,90,95,99,110,115,158,195,179,172,161,144,132,129,131,134,132,117,102,95,85,81,160,181,182,185,77,80,84,90,95,99,109,117,131,183,173,157,145,131,130,133,121,125,128,116,100,92,78,98,175,180,182,185,77,80,85,90,94,100,111,120,124,164,160,144,143,135,143,145,122,117,126,116,99,90,74,113,181,180,182,184,75,79,84,89,93,100,110,119,124,151,166,151,154,144,142,143,124,110,120,115,99,87,70,107,181,182,183,184
1,177,178,178,178,179,178,179,179,179,176,176,177,175,173,171,168,168,170,167,166,166,164,161,159,166,97,21,14,178,179,181,180,181,181,180,180,179,178,177,177,176,173,174,178,167,143,167,169,167,166,165,160,168,67,16,18,180,181,182,182,183,184,183,182,181,182,179,178,177,178,161,150,175,98,136,178,170,166,166,162,168,49,22,20,182,183,184,185,186,185,184,183,183,183,181,180,179,182,157,77,132,105,94,138,143,173,166,163,168,78,21,8,184,184,186,186,186,187,184,185,186,184,181,177,173,192,154,72,97,100,91,136,83,167,169,164,174,78,15,12,185,186,187,188,189,189,186,185,186,184,185,174,115,133,144,62,117,117,91,145,69,150,174,164,175,88,7,14,186,187,190,191,190,190,189,188,187,184,192,164,88,86,150,64,118,133,70,127,65,141,177,166,174,130,68,83,187,190,191,191,191,191,191,191,190,187,193,157,79,92,141,65,90,110,73,148,75,130,180,168,172,141,148,154,189,191,192,193,193,193,193,192,190,189,201,163,91,81,114,58,89,90,76,155,84,111,183,171,173,142,137,106,190,192,194,194,194,194,194,193,193,191,206,147,87,87,115,61,114,103,72,137,77,108,186,172,174,156,137,85,192,193,196,196,196,196,195,195,194,193,202,146,83,103,134,68,100,104,68,131,76,113,187,174,174,167,148,131,193,194,198,198,198,197,198,197,195,197,208,153,112,78,105,49,74,72,89,147,88,114,188,174,175,173,154,145,194,197,197,197,198,198,198,198,195,202,196,144,92,55,56,42,69,39,89,138,86,105,190,175,176,174,169,140,195,198,200,200,200,199,199,198,197,203,188,144,120,114,95,90,68,71,100,109,61,119,192,176,177,175,175,162,198,199,199,200,200,200,200,201,196,214,201,162,153,123,175,121,119,112,138,105,45,159,188,180,178,176,175,175,199,200,200,202,203,202,203,203,199,226,190,155,126,88,145,147,149,134,126,103,70,177,185,181,180,177,177,174,199,201,202,204,205,205,205,203,205,224,178,128,101,76,55,116,143,120,133,126,74,139,194,181,180,177,176,174,201,202,204,206,206,206,207,203,210,230,186,145,116,73,57,50,85,101,163,154,91,95,196,180,182,179,178,175,203,204,204,206,207,207,207,204,213,224,184,161,111,85,78,52,141,128,136,176,118,61,169,188,182,182,180,177,205,206,207,207,208,209,208,206,215,217,184,163,97,94,65,108,188,167,136,149,130,55,117,197,180,182,179,177,205,207,209,209,209,209,210,207,214,214,192,165,92,98,75,166,190,168,145,115,105,67,91,197,182,183,180,178,206,208,208,210,211,210,211,209,213,213,194,147,103,84,105,194,188,164,129,115,81,50,127,197,183,184,182,178,207,208,209,211,211,212,213,210,215,209,187,142,123,70,130,196,175,152,118,103,78,46,178,192,185,184,181,181,207,208,210,212,211,211,210,209,209,202,180,151,131,73,148,191,161,138,116,94,52,87,202,188,187,185,182,183,206,207,209,209,208,208,207,207,203,196,176,159,137,85,151,176,145,130,111,78,36,160,197,186,185,182,182,181,206,208,210,211,211,214,217,207,202,200,174,166,135,82,140,157,130,115,96,40,90,203,189,188,187,191,194,131,208,210,211,211,216,201,182,214,194,185,177,166,105,77,115,129,108,92,52,56,189,194,194,196,183,163,112,46,208,210,210,209,225,143,47,106,151,155,149,119,71,77,93,105,83,58,30,160,205,194,177,115,64,34,23,32
2,65,73,85,104,113,119,127,131,132,136,140,143,146,149,151,153,155,156,157,159,159,160,161,161,160,161,161,160,66,74,88,106,114,121,128,132,134,137,140,143,148,152,152,154,157,157,158,161,162,162,163,162,162,163,163,163,67,76,90,107,116,123,130,133,135,140,139,146,145,137,150,154,155,159,161,165,163,163,164,165,164,165,164,164,68,76,93,110,118,125,132,134,135,140,147,181,169,149,146,139,141,155,150,150,164,166,166,167,166,166,166,166,71,78,97,111,119,125,130,136,142,131,161,182,177,186,185,161,132,119,133,112,115,165,170,166,167,166,167,167,72,79,99,112,120,127,126,173,179,166,168,158,143,140,156,179,156,106,79,114,147,129,158,170,168,168,168,168,71,80,100,112,122,122,149,199,172,176,185,183,170,133,96,102,155,136,87,85,134,87,129,177,167,170,170,170,73,83,102,113,123,124,181,156,134,144,152,144,155,165,129,123,112,138,147,125,78,106,163,170,169,171,171,171,74,85,103,115,120,137,169,164,165,156,137,123,150,145,151,157,115,79,132,127,80,161,174,169,170,172,172,172,76,85,107,116,127,177,178,181,171,164,158,153,157,103,78,103,82,101,105,92,117,172,170,171,170,173,173,172,76,88,109,112,172,184,155,142,122,98,105,107,93,77,61,70,143,172,166,160,173,171,172,174,173,173,174,173,76,91,105,130,198,148,106,84,62,58,60,60,69,68,60,78,173,168,171,175,172,176,177,170,171,178,174,174,77,93,101,171,176,122,88,59,48,61,58,57,66,65,55,70,170,170,170,172,179,155,124,113,109,142,178,173,80,88,132,201,137,95,70,58,56,56,56,63,62,56,50,55,165,173,173,179,135,97,108,116,117,91,164,179,83,86,173,184,119,91,77,68,55,53,58,60,57,55,61,45,138,181,179,142,98,123,133,132,111,95,171,179,82,90,179,163,113,90,76,60,49,52,57,62,61,62,63,57,78,179,171,98,124,136,130,109,112,162,182,178,81,96,179,156,114,86,63,51,50,51,59,67,68,68,72,78,67,79,122,108,130,127,94,124,182,183,179,179,82,99,182,153,109,77,59,56,51,54,65,70,76,81,89,95,94,56,94,126,117,90,84,178,184,180,181,181,81,103,183,152,118,89,70,59,50,56,67,79,90,97,103,104,107,81,109,121,103,70,126,191,180,183,182,182,81,109,179,145,119,91,75,66,54,56,69,90,105,107,112,115,117,94,102,121,96,79,169,188,183,184,184,183,83,109,174,142,120,95,83,75,60,57,74,103,113,118,122,126,120,104,90,121,85,89,188,184,185,185,185,185,86,106,167,141,120,104,91,78,62,57,80,110,119,123,124,127,116,99,91,87,85,154,191,186,188,188,188,187,87,105,159,138,122,109,92,78,65,60,83,108,113,118,116,116,107,92,76,114,175,192,188,189,189,189,189,188,89,100,152,141,121,107,90,76,67,68,89,103,105,104,106,106,96,72,120,195,188,186,189,189,189,189,189,188,89,98,150,147,122,105,87,79,75,75,96,98,100,99,100,93,74,108,182,183,183,184,188,188,188,189,189,188,89,100,162,147,120,103,93,88,82,77,93,91,91,89,75,87,133,183,185,184,186,187,188,189,189,190,188,186,84,142,162,154,124,106,100,91,83,72,73,75,73,78,125,168,186,182,184,185,186,187,188,189,190,187,190,196,106,174,123,147,131,104,91,83,74,67,66,66,56,89,185,178,179,183,183,185,186,187,188,190,189,191,190,194
0,171,172,174,175,176,177,177,176,176,176,176,175,175,175,174,174,172,172,172,172,171,169,169,167,167,166,165,164,172,173,174,176,177,178,179,178,177,177,177,177,177,176,175,174,173,173,172,172,172,170,170,168,168,167,166,165,173,174,175,177,178,179,180,179,179,178,178,178,178,177,176,176,173,171,173,173,172,171,171,169,168,168,167,167,174,175,177,178,179,180,181,181,180,179,179,179,179,178,179,187,174,158,163,170,170,171,172,170,169,169,168,168,175,177,178,179,180,181,181,182,182,181,180,182,187,179,183,201,179,148,136,156,154,155,165,163,167,170,169,168,177,178,179,180,181,181,182,183,183,183,180,192,201,187,187,207,184,147,135,160,144,124,133,130,152,170,171,170,178,180,181,181,182,183,184,183,188,192,180,197,206,189,186,209,189,148,153,172,139,103,108,110,146,171,171,171,179,181,183,183,184,185,185,185,202,213,192,198,210,188,175,201,188,144,139,158,127,100,110,111,151,172,172,172,181,182,184,185,185,186,186,189,209,227,207,189,209,186,156,176,173,134,116,137,117,114,129,114,150,172,172,173,183,183,184,185,186,187,186,193,205,219,207,174,190,172,135,144,157,127,109,131,118,140,148,117,144,173,173,174,184,185,185,186,186,187,188,198,199,197,186,154,165,156,117,116,150,125,106,131,131,163,157,120,146,174,175,175,184,185,186,187,187,188,190,205,200,182,170,139,146,152,112,103,150,137,113,119,150,178,152,118,152,176,176,175,185,186,187,187,188,189,195,209,188,162,159,139,133,155,120,111,157,172,161,138,158,172,140,117,160,177,177,176,186,187,187,188,189,190,201,216,192,159,146,140,136,156,140,149,183,193,179,157,146,147,127,121,167,178,178,176,186,188,189,190,190,192,206,221,200,171,151,147,163,178,186,195,198,189,170,152,136,123,114,123,170,179,178,177,187,190,191,192,192,193,212,226,207,187,171,163,180,202,212,214,202,184,163,145,128,110,103,128,173,180,179,179,188,190,192,193,193,195,217,228,212,196,181,173,191,214,224,222,204,181,160,139,119,103,107,150,179,181,180,180,189,191,192,193,194,196,218,227,213,196,181,176,195,217,225,221,203,178,153,130,111,101,126,172,183,181,180,180,188,190,192,193,194,196,215,226,213,196,180,176,193,212,216,209,193,170,144,120,105,111,154,181,183,182,181,180,188,190,192,193,194,194,208,221,210,196,184,178,193,205,201,188,171,153,133,114,114,147,178,184,183,182,181,180,189,191,193,193,195,194,204,214,203,197,189,180,190,198,187,167,149,136,122,121,150,178,185,185,184,183,181,180,191,192,194,194,196,196,205,214,205,198,187,179,186,192,175,149,131,122,121,152,180,187,187,186,184,183,182,180,191,192,194,195,196,196,207,224,214,196,183,178,178,180,159,132,118,117,148,181,189,188,188,187,185,184,183,181,191,192,194,194,201,198,197,225,219,195,182,177,169,167,142,117,109,136,178,189,190,188,188,187,186,185,182,178,190,192,194,195,213,227,196,197,210,195,185,176,165,157,129,105,106,159,188,190,189,188,187,187,183,177,170,163,185,186,187,190,219,246,222,172,200,209,199,186,169,154,128,106,110,160,182,182,182,184,189,187,172,156,159,156,147,147,146,161,223,249,237,165,163,209,207,191,171,152,134,119,114,129,136,138,153,179,190,182,163,136,159,164,110,109,108,148,232,250,242,168,137,199,201,185,165,147,131,120,113,108,102,119,164,192,186,172,161,126,150,169
18,62,68,72,78,86,92,99,106,110,111,112,115,120,123,126,128,133,134,135,136,137,138,141,141,142,143,145,148,65,69,72,78,86,94,100,107,110,112,115,114,121,120,124,132,130,131,138,139,138,140,141,142,142,144,146,148,66,70,73,80,87,94,103,105,108,115,109,130,143,96,81,114,147,121,94,132,144,140,143,143,144,146,147,149,65,70,75,82,91,96,99,110,145,104,88,154,136,112,95,138,163,115,77,62,131,145,143,144,147,150,149,151,66,71,74,84,88,97,92,160,167,105,96,166,122,130,135,147,127,104,103,63,71,151,142,145,147,149,151,152,67,72,74,79,103,121,89,168,156,120,114,140,124,121,122,123,95,109,108,97,53,122,150,147,150,151,152,153,68,72,77,78,173,141,96,95,171,128,121,83,113,92,98,86,85,125,115,110,79,67,152,149,150,151,153,155,69,75,67,116,194,151,130,86,143,152,115,66,116,107,66,33,112,136,128,124,106,59,93,159,150,153,155,157,69,75,66,147,165,165,153,107,85,154,118,72,83,142,95,30,71,129,134,144,113,86,52,119,161,152,154,156,69,74,70,148,112,155,146,107,55,107,112,70,48,102,84,31,54,135,159,151,117,91,70,65,156,152,155,156,69,73,78,164,106,117,107,71,47,56,74,56,28,52,34,104,165,153,143,139,115,94,75,62,150,159,157,158,70,69,84,180,138,134,102,55,39,36,56,47,8,17,117,181,161,149,134,113,99,85,68,80,161,156,158,159,71,66,104,178,131,119,100,61,31,26,62,43,0,99,191,177,162,142,123,95,77,74,57,113,164,157,159,160,73,62,118,199,153,133,111,78,45,43,53,42,87,180,182,179,159,130,111,88,71,63,59,147,159,158,160,161,72,64,110,209,168,156,140,112,95,97,86,103,166,184,183,168,144,119,98,80,67,52,86,163,156,160,161,162,73,67,106,210,178,161,137,117,112,115,111,151,182,179,174,151,129,108,90,74,66,51,123,163,158,161,163,163,73,69,100,207,182,161,141,129,128,124,135,164,175,173,152,135,119,99,83,73,63,60,151,159,160,162,163,163,72,72,90,197,184,166,149,142,138,138,149,161,164,160,132,118,105,90,75,71,52,90,162,156,160,163,163,163,71,77,76,177,188,175,165,153,142,139,144,150,144,142,121,105,93,82,72,68,51,137,161,157,158,162,163,164,71,78,75,144,194,184,182,165,143,130,119,128,124,123,113,92,81,74,70,51,84,162,158,159,160,163,165,165,72,77,80,106,190,179,178,168,142,121,110,110,115,117,108,87,76,71,66,43,127,161,157,159,161,162,164,165,72,78,87,86,159,171,153,150,136,116,106,106,108,114,111,92,78,73,53,63,156,156,158,160,163,163,165,166,71,76,87,88,117,172,146,132,119,103,106,110,95,107,108,89,73,71,42,95,162,155,160,161,163,164,165,166,70,76,88,97,98,154,132,119,118,109,126,123,94,99,106,89,71,67,41,112,163,156,160,163,163,165,165,166,69,77,88,97,95,134,136,127,134,121,121,122,97,88,100,89,75,65,35,99,167,156,160,162,163,165,165,166,66,76,87,95,97,120,157,142,139,121,113,119,99,82,92,85,73,68,39,75,164,155,159,161,162,164,165,165,67,76,86,94,100,108,173,159,144,125,110,114,104,82,78,82,74,66,49,49,156,156,159,161,162,163,165,165,67,76,85,94,102,104,171,168,145,124,106,109,108,79,75,82,72,64,54,42,143,159,160,161,163,164,164,165
8,175,175,175,174,176,175,175,175,176,176,176,175,174,175,175,174,174,174,174,174,173,173,170,170,170,173,157,71,175,176,177,177,177,176,176,177,178,176,174,177,176,176,178,177,175,175,175,175,174,174,172,172,173,172,171,126,177,179,179,178,178,179,178,178,180,182,135,169,182,179,180,180,179,178,178,177,177,175,173,173,173,173,174,105,178,180,180,179,180,180,180,178,184,183,111,164,185,180,180,181,180,179,179,178,178,177,177,175,175,176,168,119,180,180,181,180,180,180,182,178,192,166,98,175,184,182,181,182,182,181,181,180,179,179,179,177,177,176,173,149,181,181,182,182,182,181,182,180,202,150,98,188,184,183,183,185,183,181,182,182,181,179,179,179,178,178,174,176,181,182,184,184,183,184,182,185,205,141,111,191,184,185,185,186,184,184,183,182,181,181,181,180,179,179,177,177,183,183,185,185,185,186,183,193,199,118,132,193,184,190,186,185,189,184,184,184,183,184,180,181,181,179,178,176,184,185,185,185,186,187,182,198,189,114,138,200,168,164,189,180,174,189,189,190,187,184,185,181,183,180,181,181,186,186,186,186,186,186,184,203,186,122,143,219,170,122,164,175,125,146,169,165,178,144,150,189,182,184,183,182,187,187,187,187,188,187,187,204,187,127,180,223,190,138,133,170,143,95,117,132,170,118,107,193,183,185,183,181,187,187,187,187,189,188,191,203,183,138,206,223,202,152,109,164,140,115,156,133,185,120,103,194,183,184,183,183,188,187,188,188,189,187,197,191,178,165,192,220,208,159,99,155,125,148,169,135,189,150,110,190,186,185,185,184,188,188,188,188,189,190,195,168,182,186,164,198,210,163,95,131,126,164,151,133,182,171,129,155,195,185,186,184,187,187,188,188,188,195,194,146,177,174,160,181,212,170,96,97,131,169,139,106,177,172,123,112,197,185,186,186,187,187,188,188,186,198,195,135,143,158,140,158,206,166,89,81,127,161,121,100,181,159,99,136,196,187,187,186,187,187,188,188,186,205,208,134,122,127,121,122,187,174,99,72,131,175,110,126,171,123,92,184,188,186,186,185,187,188,188,188,191,212,214,152,110,124,116,119,162,185,132,56,125,143,109,152,129,85,130,196,185,186,186,185,188,188,188,187,194,213,213,170,105,113,116,112,149,159,103,92,167,149,161,162,104,85,182,190,186,187,187,186,187,188,189,188,197,213,213,179,106,115,125,115,168,175,151,180,179,157,146,151,94,103,198,187,189,189,187,186,186,187,188,187,198,213,214,181,110,125,123,141,194,200,201,188,172,159,124,120,83,132,200,187,190,190,188,187,193,194,195,194,199,211,212,172,126,140,122,180,207,204,202,191,172,147,115,88,89,185,193,190,190,189,189,187,136,138,142,137,180,216,209,177,149,145,125,188,210,213,201,186,164,132,102,72,135,202,193,193,186,185,188,190,86,85,87,74,142,222,207,188,155,153,134,178,217,216,187,171,149,113,91,79,107,116,114,126,154,186,196,192,96,95,97,87,123,217,205,187,156,155,138,178,219,201,175,153,128,98,86,78,83,108,143,179,192,192,193,189,95,94,96,87,121,214,194,173,153,150,140,192,207,183,160,129,110,84,85,135,163,192,201,199,201,193,181,181,94,94,100,86,139,209,184,169,156,149,152,186,185,171,140,112,104,67,137,224,205,178,171,176,184,194,190,179,94,93,98,85,160,205,181,168,159,152,159,174,170,160,125,107,98,94,175,180,204,199,173,163,170,172,168,172
21,183,185,187,188,188,188,188,190,190,190,190,194,192,192,191,191,191,190,190,191,191,190,189,189,187,186,186,185,186,188,191,191,191,191,192,192,193,195,191,173,194,194,194,194,194,194,194,194,194,193,191,191,190,189,188,188,190,191,193,194,195,196,195,195,195,197,203,142,175,203,196,198,197,196,196,196,195,195,194,193,193,193,192,191,192,194,195,196,197,198,198,199,199,199,208,147,158,208,199,201,202,201,198,199,198,197,197,195,195,195,194,193,195,197,199,199,200,200,201,202,201,203,210,148,144,209,202,194,168,193,205,201,201,200,199,199,198,198,196,194,198,199,201,202,204,204,204,205,205,204,215,164,139,207,206,193,147,154,213,203,204,202,202,201,202,200,199,198,201,203,205,206,206,206,207,207,208,205,221,196,140,198,213,191,152,141,211,207,206,206,205,204,203,202,200,199,203,205,206,207,208,208,209,210,211,207,223,202,139,184,218,190,155,137,205,213,209,208,207,206,205,205,204,202,205,207,209,209,210,211,211,212,212,208,226,214,153,172,221,198,175,144,201,215,211,211,210,210,208,207,206,205,207,209,210,211,212,212,213,213,212,213,205,200,178,161,223,195,174,144,198,218,212,212,211,211,210,210,208,207,210,212,211,212,213,214,214,215,214,219,201,164,160,156,220,192,184,143,196,222,214,214,213,212,212,212,211,208,211,212,213,214,215,216,216,217,215,230,222,181,126,135,219,199,199,155,199,223,216,216,216,215,214,213,212,212,212,214,215,216,217,218,218,218,218,230,229,183,151,179,180,171,181,162,167,226,218,218,217,217,216,215,214,213,214,216,217,218,218,220,221,219,214,202,216,187,143,165,155,168,162,164,149,204,224,219,219,218,217,217,216,214,216,218,219,220,220,222,222,223,208,154,176,204,131,99,142,156,133,195,167,170,230,220,221,220,219,218,217,216,217,219,221,222,222,223,222,225,217,174,137,207,162,110,122,111,168,223,195,152,214,225,221,221,221,220,219,217,218,220,221,222,222,223,227,217,213,202,136,193,185,113,131,183,170,211,205,151,170,233,221,222,222,221,221,220,220,221,222,223,224,224,226,231,202,196,146,127,135,101,130,212,204,194,174,143,135,222,225,222,222,221,221,221,221,222,222,224,226,226,225,221,186,184,147,117,108,119,167,215,217,191,151,133,136,221,227,224,223,222,221,221,221,223,223,226,228,227,224,220,214,172,166,149,122,158,211,224,210,187,153,126,154,234,225,226,225,223,222,222,222,224,225,226,227,229,225,229,205,188,177,164,132,186,230,220,212,185,150,117,190,237,226,227,226,225,224,223,223,225,226,227,227,229,228,229,217,199,166,204,191,224,233,227,212,169,139,122,219,233,228,228,227,227,225,224,224,226,226,228,228,229,229,226,226,189,187,203,212,237,242,234,198,156,124,145,237,229,230,229,228,227,226,226,224,226,227,228,229,229,230,216,219,203,200,187,207,229,237,221,179,149,118,178,242,231,230,229,229,228,228,226,224,226,226,228,229,229,231,213,213,209,202,188,201,217,215,193,157,136,122,218,237,232,232,231,229,229,230,230,223,225,226,227,228,228,232,224,204,203,198,197,187,192,196,169,139,117,169,241,232,232,232,231,230,228,227,219,224,226,227,228,229,229,231,233,205,201,197,201,181,180,186,156,127,124,224,234,233,232,232,231,231,230,228,164,225,226,228,228,229,230,231,234,211,196,186,187,174,171,175,152,114,150,239,232,234,234,233,230,235,204,176,142
20,107,110,113,117,119,121,123,124,126,127,128,128,128,127,131,132,130,132,132,132,132,133,133,132,132,132,131,129,110,114,118,121,123,125,127,128,130,132,132,132,130,146,112,120,138,134,134,135,135,135,136,135,137,136,134,133,113,117,121,123,126,129,131,132,134,134,135,136,136,169,93,87,137,138,137,138,138,138,140,139,139,138,137,135,117,120,125,127,130,133,134,135,137,138,140,139,143,169,96,76,107,107,149,141,142,141,143,142,141,141,139,138,120,124,128,131,133,135,137,139,140,141,143,143,146,166,93,97,128,75,150,145,144,144,145,145,145,144,142,142,124,127,131,133,136,138,140,141,143,143,146,146,150,168,97,110,141,69,142,150,147,147,148,148,148,147,145,145,126,130,133,136,140,141,143,145,147,147,148,147,154,173,102,111,153,72,137,156,150,151,152,151,150,150,149,147,128,132,135,139,142,144,147,148,149,150,152,148,161,170,103,110,164,80,128,160,152,154,154,154,153,154,152,151,131,134,137,141,143,147,149,151,153,154,153,151,169,174,107,117,165,88,116,164,154,157,157,156,156,156,154,154,133,136,140,143,146,149,152,153,156,157,155,127,159,187,105,122,175,96,109,169,157,160,160,160,160,159,157,155,134,138,141,145,148,152,154,155,150,164,178,130,114,137,85,109,180,104,108,171,159,162,162,162,161,160,159,158,137,142,145,147,151,154,156,161,151,132,176,155,91,68,54,93,151,103,105,172,162,165,164,163,163,163,162,161,139,143,147,149,153,157,157,168,177,129,131,156,116,111,83,80,117,99,100,174,165,167,166,166,165,166,165,162,140,144,148,153,155,159,161,159,155,132,99,146,136,149,132,74,75,88,90,174,166,168,167,167,167,166,166,166,143,147,150,154,157,161,163,157,125,129,84,156,136,141,137,82,50,59,87,176,166,169,169,169,170,168,167,167,144,149,153,155,158,162,163,165,157,131,104,108,95,64,138,110,63,39,80,176,169,172,173,173,172,170,168,168,145,149,153,157,160,164,164,174,150,100,67,38,39,26,116,146,89,46,61,175,173,173,174,174,173,172,171,170,147,150,154,158,161,166,167,174,153,117,83,65,64,69,136,174,119,69,53,165,177,173,175,175,174,173,173,172,148,151,155,159,162,165,166,175,168,122,90,81,95,142,186,164,122,89,57,161,180,175,176,177,177,176,175,174,148,153,156,160,163,167,167,176,171,132,100,103,115,173,186,153,108,78,62,171,179,176,177,177,177,176,176,175,148,154,158,161,165,169,167,177,179,150,123,110,121,181,169,138,97,62,68,179,179,178,179,180,179,178,177,177,150,155,160,163,167,169,168,176,185,158,126,121,126,182,162,124,89,60,71,181,180,181,182,181,180,180,179,177,151,155,160,163,167,169,169,171,179,155,139,144,127,178,157,110,79,56,82,184,180,182,182,182,181,181,180,178,150,155,159,162,166,168,170,169,164,156,140,145,121,168,141,102,72,49,94,190,179,181,181,182,182,182,180,179,151,155,160,164,166,168,169,170,167,157,140,142,108,146,121,87,73,47,115,189,178,180,181,182,182,181,181,180,152,156,160,163,165,168,170,169,171,161,132,120,87,124,102,83,74,54,157,185,180,181,183,182,182,181,181,180,152,157,160,163,166,168,171,167,173,162,135,105,94,132,93,91,60,96,187,181,182,182,183,183,182,182,182,181,152,157,161,164,166,168,171,167,175,171,147,124,119,131,83,86,50,150,185,181,182,183,185,183,183,183,182,181
18,157,158,159,161,163,164,164,164,166,166,167,167,167,166,165,166,165,164,164,163,163,163,162,162,160,160,159,158,158,160,162,162,164,165,166,166,168,168,169,170,170,168,167,168,167,166,165,165,166,165,164,162,163,162,161,161,162,162,163,164,167,167,168,168,168,169,169,170,169,169,169,168,169,168,167,167,167,165,166,164,165,163,162,162,162,163,166,167,168,169,170,169,170,170,170,170,170,170,170,170,169,170,169,168,167,168,169,165,165,164,163,163,163,164,166,167,169,170,170,170,170,171,170,171,171,171,172,171,171,170,171,169,169,166,163,168,166,166,165,164,164,165,167,169,170,170,171,171,172,173,172,173,174,173,174,173,172,170,171,167,188,152,120,174,167,168,167,166,166,168,168,170,170,171,173,174,174,174,174,174,174,174,173,174,177,176,171,174,204,153,82,164,171,169,168,167,167,169,170,170,172,173,175,176,176,176,175,176,176,175,179,161,134,157,147,139,203,174,91,122,180,168,170,169,168,169,171,173,174,176,176,177,176,178,177,177,177,177,193,179,133,111,120,138,203,184,123,73,153,177,168,170,169,171,173,175,175,176,176,178,179,180,180,177,181,169,132,157,167,127,96,121,182,182,138,106,92,159,175,170,170,171,173,175,176,177,178,180,180,180,179,189,187,165,129,84,146,140,99,77,109,159,148,125,97,91,178,172,171,173,174,177,177,178,180,180,182,178,197,205,201,171,145,101,98,140,95,67,60,118,168,127,108,74,169,176,173,175,175,177,179,180,180,181,181,184,203,186,209,175,148,112,71,96,83,63,49,139,177,147,113,79,171,175,174,175,177,179,181,181,181,184,180,206,205,166,189,165,155,111,72,72,75,64,49,117,175,159,116,75,168,178,175,176,178,180,181,182,183,182,196,204,188,171,179,140,122,94,69,88,69,50,51,119,167,162,120,74,169,179,176,178,180,180,182,184,182,186,213,194,160,139,166,102,89,80,82,106,66,84,104,132,168,150,112,72,168,182,177,179,180,181,182,184,183,188,219,205,180,138,119,115,108,48,82,112,138,163,165,131,135,131,110,67,159,183,177,179,181,183,184,187,184,196,218,207,190,149,109,122,100,28,126,187,187,167,153,139,102,115,111,68,147,187,179,181,182,184,186,189,184,207,218,205,173,142,130,120,86,102,205,194,183,163,133,133,107,98,105,64,158,189,181,182,183,184,187,187,188,211,215,196,161,152,128,100,105,187,197,188,174,157,133,122,111,90,81,86,185,181,180,181,183,185,187,186,191,213,214,192,163,158,128,103,159,202,192,181,169,154,130,116,106,89,62,143,191,180,181,182,183,185,187,188,194,213,211,192,168,173,124,144,171,193,188,172,165,150,118,109,98,76,75,184,185,184,183,183,184,187,188,188,195,210,206,191,181,167,130,132,170,174,179,162,155,136,112,100,91,58,125,196,183,186,183,183,184,187,189,188,194,210,204,194,187,152,121,119,158,164,162,157,146,125,105,91,73,71,182,188,186,186,183,184,185,187,189,188,197,205,201,198,173,130,105,132,145,159,155,145,134,112,93,79,51,143,196,186,188,188,184,185,187,186,189,189,202,200,190,183,155,128,124,141,146,154,151,135,121,101,84,54,108,195,186,188,189,187,184,186,189,189,190,189,209,208,206,192,182,166,149,133,145,154,142,120,104,92,61,89,192,189,189,189,189,188,183,188,183,175,190,193,215,208,207,196,179,163,148,124,135,148,128,107,96,75,71,178,194,190,189,189,189,189
8,136,141,145,149,150,154,157,159,160,162,164,165,165,166,167,166,166,165,165,164,163,163,163,160,159,159,157,156,138,143,147,150,152,155,158,161,163,166,167,167,168,169,169,168,168,167,168,167,167,165,164,164,163,161,158,158,139,145,149,151,155,157,160,164,164,167,169,170,170,171,172,171,170,169,170,170,169,167,166,166,165,163,162,162,140,146,150,154,158,160,162,166,169,169,171,172,173,173,172,173,172,172,172,172,172,170,169,167,166,165,165,163,143,148,151,156,159,160,172,152,148,177,173,173,174,174,174,174,174,173,174,174,173,172,171,170,169,168,166,165,144,150,154,158,161,161,185,146,97,174,175,176,176,176,176,176,176,177,176,176,175,173,173,174,173,171,169,167,146,152,157,159,163,160,184,159,78,156,181,176,178,179,178,179,179,179,178,177,176,174,174,174,173,172,170,169,147,151,156,160,164,162,181,179,78,138,185,178,181,180,179,181,182,180,180,179,179,179,177,175,174,173,173,173,149,152,157,162,165,167,173,177,84,117,191,180,182,184,186,182,182,182,186,180,179,179,179,178,176,175,174,173,150,155,159,163,167,171,171,192,129,96,187,183,181,163,157,186,182,148,143,188,184,185,179,180,180,178,175,173,150,155,160,164,167,171,170,196,151,77,166,186,201,181,127,150,205,154,92,140,149,148,184,180,181,180,178,177,152,156,160,165,167,173,172,190,159,101,129,191,218,215,158,95,195,166,156,101,102,93,120,192,180,181,180,180,154,158,162,167,170,176,175,187,191,141,119,177,212,223,185,92,146,170,166,151,123,120,84,164,186,180,181,179,154,160,164,167,172,178,180,181,198,138,132,168,175,210,189,105,106,163,124,176,178,181,163,92,161,188,180,180,157,163,166,169,174,177,181,181,194,174,157,190,177,178,190,112,76,141,73,140,174,181,171,88,127,196,181,183,158,163,167,172,175,179,182,180,204,214,153,152,170,151,188,136,72,104,76,88,148,183,170,91,120,199,182,184,160,164,169,174,177,180,183,180,204,189,121,126,139,118,165,199,110,71,69,83,172,202,183,93,115,200,182,184,160,166,171,174,177,179,185,183,200,201,151,124,116,109,131,151,102,87,61,91,180,207,183,95,116,200,184,188,159,165,171,175,178,180,185,184,205,220,176,130,115,119,102,139,153,104,83,149,182,209,173,91,99,200,187,189,161,166,173,176,180,180,185,183,211,216,178,143,108,97,107,176,186,157,169,192,176,177,139,82,81,196,189,189,163,168,174,177,181,182,188,184,214,216,185,163,133,97,111,168,195,218,208,186,159,134,111,65,107,200,187,189,164,169,174,177,182,185,188,186,217,216,188,171,150,111,104,162,218,222,212,182,145,104,83,55,168,196,189,189,164,170,175,179,183,187,189,186,213,217,195,174,163,127,121,173,224,217,194,168,130,87,48,107,203,190,191,190,164,169,175,179,181,185,189,189,206,221,204,185,175,141,124,191,217,197,168,142,108,69,53,180,198,194,192,190,162,168,173,176,180,183,188,189,198,219,208,189,179,152,127,190,203,175,149,117,91,47,113,204,190,193,192,189,163,169,174,177,181,185,189,189,195,220,213,192,173,141,124,178,179,160,140,105,71,55,187,197,194,191,192,190,165,169,174,180,181,185,189,191,196,224,205,180,154,119,127,169,149,134,127,100,43,132,207,193,195,193,193,191,165,171,175,180,182,184,189,186,198,225,196,175,138,128,137,159,136,117,113,72,78,200,196,195,195,194,194,191
23,180,182,183,184,186,187,189,190,190,191,191,193,193,194,195,194,195,195,194,194,194,193,193,193,192,192,193,193,181,183,185,186,188,189,192,193,193,193,193,195,196,198,198,197,197,197,198,196,195,195,195,196,195,195,195,196,182,185,187,188,189,190,193,194,194,195,195,197,198,199,198,201,208,218,221,208,193,192,196,192,195,197,197,198,184,186,188,189,190,191,194,196,196,196,197,198,200,208,215,225,233,232,220,204,194,184,174,151,189,198,199,199,186,187,189,190,191,193,194,197,197,197,198,198,211,246,239,219,215,206,176,155,155,148,137,156,197,200,201,200,187,188,190,192,193,194,195,197,198,199,200,197,224,254,224,189,180,157,149,176,172,169,181,199,201,201,202,202,188,189,191,193,195,196,198,199,200,201,201,199,235,251,213,160,140,163,192,206,206,204,205,204,202,202,203,203,189,191,193,195,196,198,200,200,201,202,202,205,246,246,213,166,172,205,213,224,214,193,206,205,204,204,204,204,190,193,194,196,198,199,200,201,204,205,202,215,251,239,220,160,188,233,244,247,220,161,200,208,208,206,207,207,191,193,195,197,199,199,201,203,206,207,202,227,252,234,227,199,239,254,248,235,199,147,147,166,205,210,208,208,193,195,197,199,200,201,203,205,207,206,205,241,251,235,245,251,252,244,231,219,210,205,152,113,177,211,209,209,195,197,199,200,202,204,206,208,208,207,214,249,251,244,245,247,245,239,237,236,233,225,175,115,147,211,210,211,196,198,201,202,203,205,207,209,208,214,238,249,247,242,238,242,244,243,238,231,216,201,161,113,115,180,213,212,197,199,201,203,204,206,208,209,209,238,251,252,250,244,235,233,235,235,228,217,207,207,173,111,104,145,215,214,199,200,202,204,206,208,209,210,210,245,254,254,253,245,230,228,231,231,226,216,211,210,180,117,101,155,217,216,201,202,203,206,207,209,211,212,212,241,255,255,254,249,240,239,229,221,214,204,199,191,160,118,109,186,219,217,201,203,205,207,208,210,212,213,212,235,255,254,254,250,240,239,211,187,181,172,165,160,149,120,131,211,219,217,202,204,206,208,210,211,213,214,212,231,255,254,254,246,237,228,197,157,128,110,125,155,147,119,163,221,220,218,204,206,208,210,212,213,214,216,214,229,255,255,254,243,234,217,192,158,113,57,105,153,143,121,190,223,222,221,206,207,209,211,214,214,216,217,217,227,254,255,254,245,234,236,219,149,85,79,124,144,126,128,210,222,221,223,207,208,211,213,214,216,217,217,219,226,253,255,254,246,240,238,208,150,91,97,124,118,111,152,224,223,222,224,208,209,212,214,215,216,218,218,219,224,252,255,254,249,245,237,199,157,112,90,101,110,112,169,227,223,223,224,208,210,212,214,217,218,219,220,221,223,250,254,254,250,248,237,200,157,123,87,102,116,116,185,229,225,225,225,209,210,213,215,217,218,220,221,222,224,250,255,254,251,249,236,201,160,133,102,112,122,122,204,227,227,227,227,209,211,214,215,217,219,221,223,223,224,250,255,253,251,247,232,202,163,135,112,119,124,137,221,226,227,228,228,210,212,214,215,217,219,222,223,224,225,250,255,253,248,240,223,195,160,136,118,120,119,168,231,228,228,229,229,212,214,215,217,219,221,223,224,226,226,249,255,253,243,228,210,184,153,137,125,119,127,212,231,229,230,230,230,213,215,216,218,221,223,224,224,227,227,249,255,253,238,216,195,169,149,139,130,116,160,230,230,230,231,231,231
7,178,178,180,181,181,182,181,181,181,181,180,179,179,178,178,176,175,174,172,172,172,171,170,172,141,48,38,50,179,180,181,182,183,183,183,183,182,182,181,180,180,179,181,178,177,175,173,171,173,170,169,173,162,127,106,96,181,182,184,186,186,186,186,185,185,185,183,181,182,174,158,168,172,168,156,156,153,155,178,162,141,97,161,162,183,185,186,188,186,187,187,186,186,184,185,186,188,176,155,160,177,172,154,148,144,146,179,144,134,123,182,136,185,186,187,188,188,188,188,188,192,196,202,202,196,173,161,165,151,140,142,131,130,118,119,135,154,133,127,108,186,187,189,190,191,190,183,188,200,207,207,198,189,182,179,173,150,118,142,151,139,133,123,122,108,128,125,155,188,189,191,190,204,206,192,186,192,196,193,190,188,186,185,169,149,134,141,147,138,136,129,112,94,120,122,133,189,190,192,195,221,213,200,186,188,194,194,191,189,185,181,167,146,134,121,114,107,108,101,95,90,94,110,165,191,192,192,209,225,213,190,169,174,187,191,187,179,165,150,133,117,121,119,120,127,136,139,139,149,158,164,158,193,194,193,222,220,208,178,162,175,171,162,154,141,132,124,111,108,130,190,188,187,188,186,185,183,181,180,148,194,192,206,227,218,204,188,181,172,157,159,163,160,153,148,145,148,99,111,179,189,187,186,184,181,179,179,176,195,194,224,225,220,216,215,200,168,164,168,166,161,147,143,139,132,99,44,104,193,188,187,185,183,181,179,179,192,205,229,226,223,223,222,200,153,153,159,153,146,138,134,125,113,90,51,78,192,189,188,187,185,183,181,179,196,224,229,227,224,221,213,187,157,146,126,108,106,121,132,140,146,122,65,136,192,189,189,188,187,186,183,180,215,230,228,226,224,214,204,185,168,150,131,121,138,167,165,150,150,135,130,197,190,189,189,189,187,186,184,181,226,229,230,226,218,208,196,176,160,166,152,145,160,160,149,139,133,107,133,200,193,192,190,189,188,187,185,183,229,229,227,224,213,197,173,165,180,184,161,151,152,142,136,127,115,80,152,199,196,194,191,190,190,188,186,184,229,228,225,219,205,185,183,192,199,187,166,142,123,111,100,84,81,115,192,197,197,196,194,191,189,188,186,184,227,223,216,208,199,196,198,195,190,174,146,118,92,127,103,119,165,196,200,199,197,196,194,193,190,188,186,186,221,215,207,204,201,204,196,179,174,162,139,106,135,200,202,204,205,202,201,198,196,195,195,195,191,190,188,186,210,204,205,203,197,194,187,174,171,145,105,133,205,206,204,204,203,203,202,199,198,196,196,195,193,191,190,187,202,194,197,195,187,180,174,166,142,104,118,203,207,205,204,203,203,203,201,199,199,199,197,195,193,192,189,185,200,195,189,180,169,165,157,138,102,110,196,208,204,204,203,203,202,202,200,199,198,197,196,194,191,192,189,176,196,188,176,161,147,141,123,94,114,194,210,208,206,206,204,203,202,202,200,199,199,198,196,195,196,166,101,140,177,163,148,130,118,102,85,124,200,211,208,208,207,207,205,203,203,202,201,200,200,198,198,197,174,87,40,42,154,141,131,120,101,103,155,208,210,209,208,208,207,207,205,204,204,203,201,200,203,202,182,128,69,44,37,34,148,144,125,101,100,200,214,209,208,208,208,208,207,207,206,204,204,204,205,195,167,122,71,46,41,43,39,36,167,155,125,92,112,215,210,209,208,207,208,208,207,207,205,203,198,188,149,95,54,34,36,37,34,35,36,36
22,176,178,179,180,180,180,181,182,181,182,182,183,182,182,182,182,181,181,183,181,179,180,179,180,158,74,32,30,178,179,181,181,182,183,184,184,184,185,186,186,185,185,185,185,185,184,185,185,182,182,181,182,163,63,39,46,180,182,183,184,185,186,186,186,187,187,189,187,187,187,187,187,188,188,187,187,186,184,184,183,183,104,42,56,181,184,185,186,186,187,188,189,189,189,190,190,188,189,191,189,189,190,188,190,188,187,186,185,186,142,50,50,183,186,187,188,188,190,191,192,192,192,192,192,196,171,178,194,192,194,183,161,192,190,189,187,187,183,68,39,186,188,189,190,192,192,193,193,194,194,193,193,207,164,152,199,195,199,188,122,191,192,192,190,188,162,89,25,187,189,192,193,193,194,194,194,196,195,195,195,208,162,142,202,197,197,176,117,189,194,194,191,199,129,112,81,188,190,192,194,194,194,196,196,197,197,198,197,215,179,134,201,198,198,179,123,186,196,195,198,191,116,145,149,190,193,195,196,197,196,198,198,199,200,199,197,217,202,132,199,200,200,185,132,188,198,195,205,175,121,149,179,192,193,195,198,199,198,199,200,201,200,200,199,213,221,135,195,202,198,180,135,193,201,199,215,168,129,180,177,193,194,196,197,198,199,200,200,201,201,201,201,209,231,141,177,205,197,179,133,191,202,204,213,152,145,199,154,194,195,197,199,200,200,201,200,201,202,202,202,208,236,175,146,207,200,190,140,190,202,212,198,129,161,203,168,195,196,198,199,201,202,202,202,203,204,204,204,205,231,198,131,195,193,189,142,193,207,215,185,117,181,202,192,196,198,200,201,201,202,202,204,205,204,205,206,204,221,194,148,158,147,181,160,201,215,209,163,127,200,201,199,196,198,199,201,201,201,202,204,205,205,206,207,209,229,206,179,173,102,141,171,189,190,187,136,158,206,201,200,195,196,197,200,200,201,202,203,203,204,206,204,222,214,221,180,188,148,120,124,145,150,146,117,194,204,202,200,195,196,199,200,201,202,203,203,202,204,205,206,221,182,202,178,155,188,175,117,99,126,117,122,206,202,201,199,195,197,200,200,202,202,204,203,204,206,206,215,224,198,183,177,105,165,184,159,109,94,99,131,207,201,200,199,195,197,200,201,201,202,204,204,205,207,206,221,218,180,145,172,103,88,165,186,160,102,82,146,209,203,200,199,198,201,203,204,202,204,206,205,207,210,206,219,220,176,147,146,120,77,138,206,197,153,89,164,209,204,202,200,168,172,175,179,182,186,190,192,195,199,198,212,229,185,153,121,135,147,192,199,212,180,126,133,211,209,206,204,99,99,101,104,104,105,108,108,111,115,112,175,235,209,151,129,157,208,222,211,205,180,144,110,160,161,162,169,100,101,102,102,101,101,101,101,101,103,96,165,238,228,152,139,154,217,227,219,196,166,124,94,101,123,154,182,103,101,100,102,103,103,104,104,105,104,102,162,232,230,155,155,149,218,230,218,191,159,106,134,198,207,213,219,100,100,100,100,102,102,103,105,105,106,102,141,229,228,170,172,146,212,234,206,181,146,97,161,210,204,203,214,100,101,100,100,101,101,102,104,105,104,103,116,218,225,187,172,151,197,222,187,161,124,95,158,180,196,200,202,99,100,100,101,102,101,101,104,104,103,103,103,197,221,194,162,147,171,205,167,133,104,100,177,144,157,182,198,99,100,101,101,105,102,101,103,104,105,104,101,187,206,176,150,133,135,179,148,115,93,115,192,140,141,172,195
7,141,141,141,142,140,141,140,139,138,135,136,136,134,133,132,132,131,130,129,127,126,125,124,122,121,119,118,117,144,143,142,142,141,141,141,140,140,138,138,138,135,135,135,135,133,131,130,129,128,127,126,124,124,121,120,119,146,145,144,144,143,142,142,142,141,141,140,139,138,138,137,135,135,134,132,132,130,128,128,126,126,124,122,121,147,147,146,147,146,145,144,144,143,142,142,141,141,140,139,137,137,135,134,134,132,130,128,128,127,125,123,122,149,149,148,148,147,146,146,146,144,144,143,142,142,142,141,139,138,136,135,135,134,133,131,130,128,127,125,124,151,151,149,149,149,148,148,147,146,146,145,144,143,143,143,140,141,140,137,136,135,134,133,131,128,128,126,125,152,152,151,150,150,150,150,150,148,147,147,145,144,143,144,143,142,141,140,138,136,135,135,133,132,130,128,127,154,154,152,153,153,152,151,150,148,147,151,152,150,147,146,145,143,143,142,140,139,138,136,134,134,132,129,129,155,156,154,153,154,153,150,158,140,113,135,123,136,146,150,150,149,144,141,141,140,139,137,135,135,134,131,130,155,155,156,155,155,153,153,173,149,157,145,81,66,82,104,116,129,145,150,145,142,140,138,137,137,136,133,131,157,157,157,157,157,153,163,166,161,174,144,96,82,67,64,74,75,85,109,134,141,144,142,140,138,136,135,133,158,157,158,158,158,156,167,161,167,165,143,138,141,101,60,60,66,66,64,65,79,92,111,130,142,137,136,135,160,160,159,160,156,161,169,169,173,160,153,158,147,119,88,63,63,64,57,61,62,64,61,93,143,139,138,135,161,161,161,161,159,166,168,173,169,159,157,154,140,132,120,90,60,63,56,57,65,66,64,59,78,103,136,137,161,160,161,159,162,170,174,167,160,156,149,144,145,146,130,101,68,59,64,61,71,65,59,55,52,63,129,140,163,162,163,159,163,171,176,168,159,152,137,140,149,146,128,96,74,66,53,79,142,130,114,105,102,117,140,139,164,163,164,156,167,173,173,160,155,151,141,142,147,132,111,88,71,70,62,74,152,152,151,151,149,147,141,140,164,164,163,155,173,178,169,150,152,153,144,140,131,106,98,87,69,73,79,68,133,153,146,146,145,144,143,141,166,166,158,156,179,174,164,152,151,146,138,133,109,99,99,84,76,72,71,100,150,151,148,148,146,144,142,141,166,168,150,163,179,168,158,158,148,140,134,119,104,106,94,82,57,50,97,147,154,151,151,149,146,145,143,142,167,164,146,173,172,161,156,154,138,135,126,112,112,104,84,78,78,125,157,155,152,152,152,150,146,144,143,142,170,151,152,175,167,158,156,146,138,130,119,115,108,94,74,120,162,160,156,154,154,153,151,149,147,146,144,142,166,142,165,167,163,157,149,145,133,119,118,109,97,77,95,161,160,157,158,157,156,154,152,151,149,147,146,143,155,151,165,160,161,159,140,129,116,113,110,97,82,88,151,164,159,158,158,157,156,154,154,152,150,147,146,144,147,161,160,159,161,147,122,112,104,99,94,81,97,152,165,161,160,160,159,156,155,155,155,152,150,148,146,145,146,161,165,169,142,124,112,99,90,82,74,86,157,167,162,162,162,160,159,157,156,156,154,152,150,149,147,146,151,153,168,156,120,125,105,85,78,73,80,142,169,163,164,162,162,160,159,159,157,156,154,153,152,150,148,146,150,151,157,142,124,131,104,77,70,80,151,170,166,165,164,162,162,161,160,160,158,156,155,153,152,149,149,147
22,152,159,163,166,173,179,183,186,189,192,194,195,198,200,199,200,200,200,198,198,198,197,195,195,193,191,190,190,153,160,164,167,175,179,184,187,191,193,194,201,200,201,202,202,200,202,205,200,200,200,198,196,194,194,193,192,155,163,167,170,176,181,187,190,192,210,182,162,206,202,204,202,206,187,180,205,200,201,199,201,201,195,194,193,156,165,168,171,177,183,188,192,191,229,186,127,206,204,205,203,216,173,123,204,203,201,204,185,181,200,196,194,158,165,169,173,179,184,189,194,193,233,197,126,204,206,206,208,211,160,121,210,204,205,208,155,124,202,198,197,159,167,170,175,181,186,191,196,193,230,208,131,200,210,208,210,205,145,142,216,202,210,204,145,133,208,199,198,160,168,170,175,183,188,193,197,194,235,224,141,189,215,208,203,197,131,168,216,209,216,186,117,174,210,200,200,161,169,172,177,183,191,194,199,195,233,221,140,178,219,208,197,182,117,187,213,221,217,161,128,209,204,202,201,162,170,173,178,184,192,196,201,197,232,219,141,162,222,207,208,187,114,201,218,215,189,135,168,215,205,204,204,164,172,175,180,187,193,197,202,200,225,236,170,152,220,205,208,167,125,223,235,213,153,120,207,209,208,206,205,165,173,175,180,188,194,198,202,205,216,237,174,136,217,188,189,124,145,246,234,205,128,155,221,208,209,208,207,166,173,176,182,189,196,201,204,206,209,236,161,103,177,172,188,175,208,232,213,176,113,203,217,211,210,209,207,167,174,177,183,190,197,201,204,216,188,190,151,124,183,194,194,220,220,214,188,122,145,223,212,213,211,209,209,168,174,178,183,190,197,202,208,225,187,167,154,164,165,178,202,207,207,204,152,111,208,218,214,214,213,211,209,170,177,178,185,193,201,201,219,231,200,208,195,185,131,104,172,190,201,174,119,152,231,216,217,216,215,213,211,170,177,180,186,194,200,202,225,244,208,193,197,186,165,132,99,142,153,128,105,177,231,218,217,217,216,214,213,171,178,180,187,195,200,202,236,236,198,140,133,178,188,171,133,96,105,111,100,204,227,221,219,219,218,215,214,171,177,180,188,197,201,205,241,236,198,139,92,132,196,186,163,130,105,95,99,217,225,223,221,220,219,216,215,172,178,182,189,196,203,205,244,255,202,210,120,154,228,200,170,152,129,87,81,207,229,223,222,220,220,217,216,173,178,182,190,196,204,206,245,254,202,193,125,200,246,209,176,158,130,84,74,206,231,222,222,221,220,220,218,174,178,181,189,196,204,205,245,255,203,180,188,239,216,207,171,144,120,78,91,224,227,223,222,222,222,220,217,172,179,181,188,196,204,202,238,249,219,186,213,249,199,187,189,138,113,70,126,237,222,223,222,221,222,220,217,173,179,181,190,197,205,205,231,247,229,188,218,241,200,184,183,150,102,65,162,238,222,223,222,221,222,220,217,174,178,181,190,198,206,206,225,241,232,191,203,229,196,179,170,134,91,68,197,234,225,226,223,222,222,221,219,172,178,181,189,197,204,210,205,240,224,192,175,200,172,153,141,106,73,97,230,226,225,224,221,220,219,219,218,174,180,183,192,200,208,214,95,173,223,155,145,160,159,136,112,93,73,174,245,233,233,231,229,227,228,227,225,151,155,156,160,162,170,145,73,75,145,150,157,162,174,153,113,93,85,166,174,171,170,171,172,171,171,171,171,129,129,128,130,130,122,83,77,78,71,130,159,158,166,150,106,74,62,117,118,116,115,114,114,113,112,103,86
23,151,155,159,163,168,170,174,177,178,179,179,178,178,179,179,176,176,175,174,173,171,169,171,170,167,170,190,204,155,160,165,169,172,178,181,181,183,185,185,185,184,185,186,183,184,181,177,176,175,175,174,173,171,173,152,147,159,165,171,174,178,185,187,189,190,191,193,192,191,187,186,187,181,185,190,181,180,181,181,177,176,177,162,87,164,171,176,180,184,190,193,196,197,198,199,197,197,209,229,230,191,146,170,186,190,186,185,181,181,179,184,137,169,174,181,185,189,194,199,201,203,204,207,240,240,249,255,238,217,193,180,178,171,195,191,188,186,184,182,182,173,177,184,189,193,198,203,206,209,207,224,255,219,186,177,120,138,168,163,121,132,202,195,192,191,189,188,185,176,182,187,192,197,203,206,211,213,209,245,239,215,83,105,164,187,162,134,138,193,206,200,198,196,194,192,189,179,185,190,195,200,205,210,214,216,218,255,237,208,140,183,191,230,220,220,221,213,209,208,206,202,199,196,194,182,187,192,198,203,208,213,218,219,230,250,229,242,255,209,82,196,229,215,212,215,213,213,212,209,204,202,199,184,190,195,201,205,211,216,221,220,238,250,255,255,251,200,86,174,222,230,227,221,217,218,217,214,211,207,212,186,194,197,203,210,213,218,223,220,249,255,255,234,226,169,168,249,154,157,199,220,230,221,221,220,215,222,159,189,196,200,205,213,217,219,223,242,255,251,217,188,211,188,200,238,159,69,57,92,194,233,223,221,224,208,54,193,198,203,209,214,217,226,249,254,237,219,223,232,243,237,177,171,151,74,55,51,113,242,224,219,237,138,40,193,200,206,211,214,236,248,245,242,245,254,255,252,234,211,158,76,134,94,73,63,117,241,231,242,234,73,44,196,203,209,214,218,248,232,229,223,219,234,229,208,188,175,136,50,47,77,76,59,137,255,205,172,111,50,47,197,205,211,214,224,255,240,210,203,212,214,214,208,199,186,132,61,18,62,87,78,91,110,62,28,28,43,44,201,206,211,216,226,251,236,215,217,228,233,230,201,181,163,108,63,34,91,118,98,30,8,38,34,36,39,39,202,207,211,218,222,233,238,236,236,221,223,167,134,142,130,97,61,32,64,113,98,41,13,15,15,40,35,32,202,208,214,220,225,230,237,233,224,199,165,112,50,74,132,100,51,46,76,95,79,28,26,20,12,20,29,22,204,211,216,223,227,227,226,240,240,179,120,85,40,82,150,90,35,58,81,89,56,24,19,21,24,15,16,19,204,210,215,221,226,223,216,251,231,122,81,36,49,95,82,44,57,79,78,77,37,29,27,9,11,22,19,22,205,210,215,221,226,219,213,242,200,124,90,50,19,21,29,57,80,93,92,59,14,25,31,16,0,7,11,29,205,211,217,222,227,213,216,243,201,131,99,59,25,37,73,91,101,101,90,46,3,10,29,29,6,0,6,12,204,211,216,221,227,208,228,249,209,140,106,73,49,52,93,102,105,97,76,31,6,9,16,30,16,0,4,0,212,219,223,230,236,217,224,240,207,153,113,89,62,52,78,102,104,98,58,7,10,9,12,17,27,4,0,3,167,175,181,189,198,190,223,231,203,154,115,102,72,63,62,98,107,95,30,0,12,4,5,10,14,16,0,0,97,99,102,105,98,122,221,219,190,142,118,121,75,68,70,89,102,53,20,12,8,2,0,6,7,12,0,0,112,113,113,117,100,104,224,202,167,127,136,127,75,72,71,87,50,0,21,16,14,7,0,0,4,5,4,0
16,132,140,145,146,151,158,163,168,171,176,182,184,188,189,192,195,196,198,200,202,204,205,207,209,209,208,208,210,134,142,146,147,152,158,165,169,172,177,183,186,189,192,193,195,198,200,202,205,207,208,210,210,210,209,210,211,138,144,146,148,153,159,166,170,175,179,184,188,191,194,196,198,200,203,204,206,209,209,210,212,212,212,213,213,137,145,147,150,155,161,167,173,177,183,186,189,193,196,199,201,203,205,207,208,209,210,211,212,214,215,216,217,139,145,148,152,157,164,169,175,178,184,187,188,194,198,198,201,204,205,209,210,210,211,213,213,215,217,218,218,141,148,151,153,159,165,170,176,181,187,186,199,197,196,212,200,200,213,210,210,212,212,214,216,218,219,219,219,144,151,152,155,161,167,173,179,184,184,199,251,227,240,249,208,174,177,212,220,216,215,216,218,219,221,222,221,145,152,153,156,163,168,174,181,175,229,255,255,255,255,244,209,177,136,129,174,212,224,218,219,220,223,224,223,145,153,154,157,164,170,176,177,207,255,255,255,255,246,227,195,150,136,110,104,123,171,221,223,221,224,224,225,148,154,156,159,167,175,172,208,255,255,255,255,243,221,204,165,134,140,112,118,107,101,139,219,227,224,226,226,147,153,156,159,166,175,169,231,255,255,255,252,225,190,160,128,130,128,116,127,114,111,98,124,222,228,226,227,147,153,156,160,167,176,173,242,255,255,246,226,201,153,122,121,103,128,125,133,120,113,110,96,133,242,229,227,149,156,158,162,169,178,176,249,255,250,212,191,153,123,110,77,55,135,128,131,123,116,108,110,98,151,222,232,151,158,160,164,171,180,174,244,255,250,212,157,111,90,36,8,54,130,127,135,122,114,110,114,99,16,96,247,153,159,160,164,172,181,174,233,255,254,208,130,100,51,0,1,54,130,137,143,119,110,112,111,48,7,114,253,154,159,161,164,172,180,177,214,255,250,184,111,80,45,13,36,56,103,160,136,117,109,114,61,20,5,172,252,154,159,162,165,173,181,183,198,255,233,156,102,91,93,64,76,75,118,189,112,114,115,73,5,27,10,209,244,155,161,161,166,173,181,183,201,255,200,123,112,117,105,97,89,78,198,176,108,116,71,0,12,20,24,232,239,157,162,162,167,175,184,182,221,255,169,122,127,118,115,119,77,158,228,155,118,75,2,9,28,3,48,245,237,158,162,163,169,177,186,179,228,255,139,156,109,60,86,86,95,246,225,153,102,40,18,27,14,0,81,255,236,159,162,163,169,177,186,179,243,234,108,187,103,73,82,62,117,255,237,174,72,35,23,10,13,0,143,255,237,157,161,164,169,177,182,193,255,158,128,204,101,98,107,85,104,253,238,187,56,25,17,8,18,0,174,255,238,156,160,162,168,178,180,198,190,135,201,187,101,111,114,111,91,197,240,190,64,8,12,14,21,4,168,255,237,157,162,163,169,179,185,188,190,199,213,172,105,119,121,119,90,78,161,123,23,6,13,16,23,9,176,255,238,159,162,164,169,178,185,190,196,197,213,163,110,117,117,92,49,16,13,15,11,16,16,17,22,8,184,255,239,159,163,164,170,178,185,190,197,200,214,154,103,106,96,51,17,21,24,24,26,23,23,18,22,2,122,255,238,160,163,165,171,179,185,193,199,201,215,163,110,93,73,35,27,37,39,40,39,32,26,21,24,2,126,255,239,159,163,167,171,179,186,193,198,204,205,141,113,97,78,52,42,49,48,49,45,37,31,24,27,2,154,255,241
11,167,170,175,178,181,183,186,188,189,191,190,191,191,191,190,191,191,190,190,188,188,185,182,183,181,179,176,174,169,174,177,180,182,185,188,190,192,192,193,192,191,193,195,192,191,191,190,189,189,187,184,184,182,181,179,176,172,177,180,183,186,189,191,192,194,195,196,195,197,186,175,197,192,193,192,190,189,188,187,185,184,183,180,181,176,180,183,187,189,192,195,196,198,198,198,196,203,206,123,198,197,194,195,194,191,191,190,187,185,183,189,161,179,183,186,189,192,196,198,198,200,200,202,197,210,222,112,190,202,197,198,197,196,194,191,190,188,187,189,106,180,186,190,193,196,199,200,200,203,203,206,198,223,219,99,191,205,201,199,198,198,197,195,193,190,195,171,70,184,188,190,196,199,201,204,204,207,209,205,202,251,212,103,203,206,203,203,201,199,199,198,197,195,201,155,56,187,192,195,199,201,203,207,207,207,196,223,191,245,198,115,214,207,207,206,206,203,203,201,200,198,202,169,82,190,195,199,201,204,208,203,240,218,133,198,169,121,175,120,190,215,208,209,209,207,206,204,204,202,200,192,102,192,197,200,204,208,203,235,255,240,187,116,151,103,135,114,155,223,210,211,211,210,208,207,207,205,202,204,126,195,199,203,208,206,222,255,209,218,216,130,114,110,151,121,165,226,213,214,214,213,212,211,208,207,204,208,176,198,201,205,208,212,255,247,166,164,212,119,107,102,149,120,173,228,216,218,217,215,215,213,211,210,208,207,201,199,204,209,205,240,255,204,157,185,183,86,116,101,137,110,187,228,219,221,221,218,217,216,214,212,212,209,206,201,205,211,206,254,255,188,128,144,151,89,113,100,133,105,212,227,222,223,222,220,218,215,214,213,213,212,210,203,207,212,207,255,255,205,149,95,96,127,90,114,130,111,229,225,224,223,222,222,220,219,218,216,214,214,212,204,210,213,211,255,255,196,135,95,79,134,88,148,138,80,189,240,226,228,229,223,216,211,209,217,223,216,214,206,211,215,217,255,255,196,146,105,82,94,78,138,121,70,99,211,227,213,191,176,165,161,148,137,181,223,214,207,213,214,225,255,254,200,157,118,95,98,105,124,127,122,121,127,149,155,171,179,162,133,123,103,124,226,217,209,215,216,228,255,250,201,161,124,101,104,153,184,184,170,156,137,139,162,160,137,116,137,189,204,209,222,219,211,217,219,227,255,253,212,171,135,109,124,181,178,164,158,150,134,121,115,121,160,195,229,236,231,228,223,220,213,219,219,235,255,255,219,173,149,120,140,173,171,158,139,135,107,96,155,224,240,237,231,228,228,227,224,220,214,223,216,250,255,255,216,169,148,126,136,152,158,148,123,101,126,204,244,240,234,231,232,231,230,229,226,223,216,221,220,255,255,237,197,158,135,127,138,134,143,134,97,159,243,247,236,237,236,234,234,232,231,231,228,225,219,217,255,255,255,225,183,151,131,131,135,122,116,108,180,253,245,240,239,238,237,236,235,233,232,232,230,228,216,227,255,255,242,216,179,157,140,129,123,100,141,225,254,244,243,243,240,239,238,238,236,235,233,232,230,229,212,243,255,255,213,177,170,155,131,120,95,126,242,254,244,245,245,244,243,241,240,239,237,237,236,233,231,229,215,255,255,253,189,153,147,138,119,103,105,225,254,246,248,247,247,245,244,242,241,240,238,238,237,233,231,230,227,255,255,238,163,146,140,127,109,91,188,255,248,252,251,248,248,246,245,243,242,241,240,239,238,236,234,233
0,167,168,168,167,167,167,167,167,166,165,163,163,163,163,161,160,160,159,158,156,154,154,153,151,150,149,146,145,168,170,169,169,170,168,167,169,168,166,165,164,165,164,163,161,160,160,160,159,155,155,154,151,149,149,148,148,169,170,169,170,170,168,169,170,168,168,167,167,168,165,164,162,163,158,159,159,157,157,155,153,150,150,149,149,172,171,171,171,170,169,172,171,170,169,168,166,156,168,168,166,165,170,160,161,159,156,156,154,153,152,150,149,172,172,174,174,172,171,171,171,169,174,169,141,98,98,159,129,101,112,168,156,154,163,155,158,157,152,151,149,173,173,174,174,173,172,173,157,120,126,159,130,100,55,85,116,81,41,93,106,75,95,160,135,139,156,150,150,176,175,174,174,172,172,173,151,122,84,105,153,100,64,71,134,94,56,38,101,67,20,91,114,86,162,151,150,176,175,175,174,173,174,172,173,141,114,68,135,109,71,65,132,101,57,52,115,87,33,28,109,71,158,153,152,177,177,175,175,174,179,170,152,150,116,52,119,118,72,62,130,99,57,29,97,77,33,14,98,58,138,159,154,178,177,177,177,176,181,156,105,146,89,41,119,102,56,52,114,82,44,14,82,64,21,17,101,60,81,166,152,179,178,178,179,178,173,131,85,142,76,42,112,77,35,43,101,70,30,28,109,82,13,12,105,92,44,123,161,178,177,178,178,181,174,154,119,137,96,60,105,88,40,46,112,79,18,82,138,82,1,33,109,97,46,66,170,179,179,180,179,182,163,135,110,110,95,58,115,108,40,70,130,93,30,71,121,36,0,93,119,93,28,83,169,179,182,182,184,177,138,105,81,63,45,36,116,97,32,57,131,91,23,0,0,0,56,125,119,70,23,146,161,182,182,183,181,174,149,116,83,52,42,37,52,65,31,8,45,44,44,72,30,43,123,120,101,30,79,173,155,183,183,183,178,168,147,118,84,56,52,61,55,62,68,58,63,105,135,129,121,92,107,105,64,20,147,164,157,184,183,185,182,171,150,123,93,61,50,59,72,95,111,122,139,143,129,113,112,83,79,87,24,64,173,158,160,183,183,183,181,174,151,126,102,75,63,62,76,120,137,148,145,138,123,110,105,74,57,60,3,128,171,161,160,183,184,184,180,176,155,132,110,84,82,71,116,155,151,151,145,134,116,103,97,61,42,8,58,174,162,164,162,184,185,184,181,179,161,138,119,104,98,108,148,158,154,152,143,128,112,94,77,46,3,35,161,168,164,164,163,185,186,185,182,179,164,143,128,116,107,137,150,157,159,150,128,116,102,82,62,11,20,161,171,166,167,165,163,185,186,186,180,176,168,151,134,118,110,146,153,158,155,138,115,102,88,68,25,7,149,174,165,167,168,166,163,185,187,187,179,173,167,154,140,121,111,143,155,146,139,119,101,83,71,34,0,133,180,168,169,167,168,165,164,186,189,189,183,175,171,158,150,134,118,136,146,132,121,104,83,66,34,0,119,183,170,173,170,168,167,165,164,187,187,190,185,178,167,157,152,141,126,133,137,121,103,90,70,31,0,116,186,171,174,171,170,169,167,166,165,187,188,189,183,175,164,168,168,154,136,128,126,104,88,75,39,0,121,189,175,178,175,171,169,170,168,166,166,188,187,188,181,179,163,168,168,146,134,122,115,89,65,52,3,116,192,176,178,178,176,173,172,171,168,167,166,188,188,185,176,170,141,163,152,137,128,116,95,77,58,17,54,193,177,179,177,177,175,174,173,171,170,168,166
17,149,152,153,155,157,158,159,160,162,163,163,165,166,167,167,169,169,169,171,171,170,172,171,171,172,172,171,171,149,152,154,156,158,159,160,162,163,164,164,165,167,168,170,170,169,171,172,171,172,172,172,172,173,172,172,171,150,152,155,158,158,160,161,162,163,165,165,166,167,169,170,171,162,147,150,140,170,174,174,173,174,174,173,172,150,152,155,158,160,161,162,163,164,166,166,167,168,171,171,174,172,128,105,104,163,175,175,175,174,175,174,173,151,154,156,158,160,162,163,165,167,168,168,169,171,172,172,175,185,141,94,97,167,176,176,176,175,175,175,173,152,154,157,159,160,162,164,166,167,168,169,170,172,173,174,175,188,155,105,106,175,177,176,176,175,176,176,174,153,156,158,159,162,164,165,166,167,169,171,165,157,174,176,175,190,162,116,130,179,178,178,177,176,177,177,176,155,157,158,160,163,164,165,168,169,169,173,166,134,145,175,180,190,159,120,145,180,179,179,179,178,178,177,177,156,157,159,161,163,164,166,168,167,162,173,173,152,135,149,169,184,157,119,145,181,179,179,179,179,178,177,176,156,158,159,162,164,165,166,177,168,134,146,177,181,172,140,113,151,151,121,145,182,181,181,179,179,179,179,178,157,159,160,163,166,166,170,180,171,136,144,157,172,186,162,112,111,130,114,143,183,181,180,179,180,180,180,179,158,160,161,164,166,167,175,171,155,148,123,114,115,188,184,134,96,107,103,139,184,182,181,181,181,180,180,180,158,160,162,164,166,167,179,165,126,123,112,90,91,178,196,154,100,93,93,135,184,183,183,182,181,181,181,181,158,160,163,165,167,169,183,166,141,136,120,113,119,167,203,165,114,90,92,129,184,183,183,183,182,181,182,182,158,161,164,165,167,171,187,166,147,138,127,135,147,174,197,168,126,91,89,126,184,183,183,184,183,183,182,182,159,161,164,167,167,177,182,151,138,134,136,147,181,201,179,162,130,90,83,125,185,184,184,184,184,184,182,180,159,161,164,168,167,184,183,154,139,134,142,163,206,201,172,150,123,87,78,128,185,185,185,184,184,184,183,181,159,162,164,167,168,191,185,161,144,134,148,188,206,192,167,143,116,87,80,145,187,185,185,184,184,184,184,183,159,163,165,167,168,195,186,167,154,138,162,204,200,187,160,132,111,85,91,169,186,185,185,185,184,183,184,183,159,163,166,168,170,201,188,173,166,148,171,203,192,182,160,125,104,82,119,185,184,186,186,186,185,184,183,183,160,164,167,169,170,203,193,179,174,159,169,197,185,176,155,120,97,86,156,187,185,185,186,187,185,184,184,185,161,165,167,169,169,198,199,183,174,166,166,187,180,176,152,115,91,100,179,186,185,185,186,186,185,185,185,185,162,165,168,170,170,191,200,181,169,164,167,177,172,179,156,113,89,116,186,187,187,187,187,187,186,186,186,185,163,165,167,170,170,189,195,180,168,161,166,174,168,178,151,112,92,140,189,187,187,188,188,188,187,187,186,185,162,164,167,170,171,193,198,185,170,167,170,175,165,172,138,106,100,170,188,188,187,187,187,188,187,187,186,185,160,163,167,171,172,199,204,184,170,173,175,169,156,160,125,96,128,186,187,188,188,188,188,188,188,188,187,186,162,164,168,170,174,204,199,173,170,176,176,159,145,145,111,96,165,188,188,188,188,188,188,188,188,188,187,186,162,165,168,170,176,206,195,169,170,177,172,152,141,132,102,110,183,187,188,189,189,189,189,188,189,188,187,187
10,40,42,43,46,50,53,59,69,77,83,88,91,93,97,100,102,105,108,108,110,112,113,114,115,116,115,116,117,41,42,44,46,50,54,60,70,79,85,90,93,94,98,100,103,106,107,108,113,113,114,114,116,117,116,116,117,40,43,45,48,51,54,61,72,80,87,92,93,95,99,102,105,105,114,114,95,115,115,115,117,118,117,117,117,39,43,45,49,53,55,63,74,82,88,93,94,98,101,104,108,103,135,125,58,106,120,118,119,120,119,119,119,40,44,46,49,53,56,65,76,84,90,94,96,99,102,105,109,107,126,132,71,79,126,119,121,122,121,121,122,41,45,47,49,53,57,66,77,85,92,96,98,102,105,108,112,111,120,139,85,57,119,124,124,124,124,124,124,42,46,48,51,54,57,67,79,87,94,98,99,103,107,110,112,117,116,138,106,62,101,130,125,126,126,126,126,43,46,49,52,55,58,69,80,88,94,99,100,104,109,112,115,117,117,136,123,72,81,134,127,128,129,129,128,43,47,49,53,55,59,71,82,89,96,100,101,105,109,114,114,132,122,73,106,85,63,130,132,132,131,131,131,45,47,50,53,55,60,73,84,91,98,101,103,108,112,116,116,144,97,50,79,129,63,118,137,134,134,134,133,45,48,50,54,56,61,74,85,92,99,101,104,110,113,119,118,139,90,62,53,144,71,100,141,135,137,136,135,45,48,50,54,57,63,75,85,94,101,103,107,110,119,112,128,157,109,99,59,96,86,81,144,137,139,138,138,46,48,51,55,57,64,77,87,96,102,104,102,124,161,125,143,131,126,120,76,53,83,68,140,139,140,140,141,48,48,52,55,58,64,78,88,97,103,108,115,126,183,151,152,99,90,124,96,54,59,55,126,144,141,141,141,48,49,52,55,58,65,79,89,99,96,150,170,114,122,157,160,116,50,109,122,79,50,40,109,149,141,142,142,49,49,52,55,58,66,80,91,101,99,158,185,131,61,109,163,110,52,62,124,97,64,35,92,151,143,145,145,48,50,52,56,59,67,81,91,101,107,130,111,140,123,73,107,67,33,35,101,106,79,45,80,151,143,145,146,49,50,53,56,60,68,82,92,102,107,140,96,115,137,59,74,85,26,68,108,106,95,60,68,150,145,146,147,49,50,53,56,60,70,83,94,105,104,151,137,89,73,61,90,93,86,142,131,109,102,71,64,144,149,147,147,49,51,54,56,60,71,85,96,106,106,151,134,110,95,84,92,101,159,159,123,113,97,73,69,143,150,148,148,49,52,54,57,60,72,85,97,108,106,169,163,135,103,99,110,178,184,142,109,97,88,74,77,147,150,149,150,49,51,55,56,60,73,85,96,108,106,170,175,139,112,122,140,198,166,135,111,86,77,69,90,154,150,151,152,50,51,54,57,60,73,86,98,109,105,176,181,137,137,130,150,193,157,126,107,85,72,65,108,157,149,151,152,50,52,54,57,60,74,88,99,110,107,168,171,144,151,135,172,177,143,114,95,81,73,65,120,158,151,152,153,50,52,55,57,62,75,88,99,111,106,153,169,163,157,153,179,159,125,102,84,75,73,69,138,156,152,153,153,50,52,56,57,62,75,88,99,111,108,135,182,176,156,141,153,141,111,91,79,75,65,84,155,153,154,155,155,50,52,56,56,62,77,90,101,110,113,118,171,164,146,128,130,127,114,96,85,76,57,106,160,154,155,155,158,50,52,56,57,64,78,90,102,110,115,113,147,146,133,125,128,125,127,107,83,72,53,121,160,154,156,157,158
5,66,73,80,87,94,101,106,110,112,117,121,123,126,130,133,132,146,122,125,146,145,146,147,147,147,149,149,148,67,74,81,88,95,102,108,111,113,118,120,127,130,132,135,134,167,101,95,152,145,148,148,148,149,150,151,150,68,75,82,90,97,105,109,113,117,117,130,121,129,136,133,152,158,67,112,153,146,149,150,151,152,152,152,152,70,76,84,92,100,105,111,115,117,120,165,93,107,145,131,176,117,55,139,152,148,151,153,153,153,153,153,153,72,79,85,93,101,104,114,117,115,136,156,69,114,142,148,182,87,78,157,150,152,155,155,154,154,155,156,156,72,80,86,92,110,126,96,121,110,162,120,59,135,137,180,147,69,115,161,153,155,156,157,157,156,158,158,158,74,81,87,89,126,141,67,120,118,178,103,77,140,156,172,89,73,149,156,155,154,156,155,161,159,159,159,159,75,80,89,89,131,160,66,117,132,153,80,101,143,178,148,68,97,162,151,158,181,165,116,153,163,161,161,161,76,81,90,93,126,197,86,99,147,132,74,120,151,185,137,79,130,161,166,180,171,183,118,140,168,162,163,163,76,81,91,100,110,204,159,113,136,142,100,117,168,169,114,85,147,167,194,148,133,184,90,149,168,164,165,164,77,83,92,102,99,186,215,183,139,126,106,108,157,137,98,109,169,184,144,84,130,175,71,143,174,166,167,167,79,83,93,103,106,129,202,212,170,116,90,85,102,99,105,146,178,170,119,65,153,170,73,109,180,167,169,169,77,83,95,103,114,111,145,218,174,126,85,71,74,76,101,152,140,125,88,98,176,151,86,80,174,170,171,172,78,85,96,104,113,122,115,208,187,135,104,77,72,72,89,121,120,87,70,155,184,167,100,82,172,172,173,172,79,86,97,105,115,121,116,205,200,147,125,89,68,70,78,99,101,61,125,175,183,175,109,92,177,174,175,174,80,88,98,108,117,122,119,211,208,163,141,101,69,69,75,99,117,124,154,154,182,172,105,97,180,175,176,177,80,87,99,109,116,124,119,206,213,176,145,99,69,64,82,123,152,162,157,128,136,168,99,107,185,175,177,178,80,89,100,109,116,125,119,200,221,178,146,107,74,61,100,150,159,155,148,120,100,116,82,116,187,176,179,180,81,90,102,112,117,127,117,183,219,177,156,121,84,85,114,146,151,143,131,105,85,83,67,133,186,177,181,181,81,92,103,112,119,126,118,167,216,183,160,128,89,89,128,135,138,118,113,93,80,69,113,177,181,181,183,183,81,92,103,112,120,128,119,169,223,186,146,116,91,75,109,115,115,97,94,83,72,124,182,180,183,183,182,183,82,92,104,113,120,130,117,174,218,165,124,96,83,78,93,102,98,84,78,74,140,185,179,181,184,184,184,184,81,93,105,114,121,131,116,183,209,156,120,90,89,92,86,93,83,74,68,140,186,178,181,183,184,184,185,184,82,94,106,114,124,124,142,190,197,168,131,92,99,103,81,80,72,63,135,185,178,183,184,185,185,185,186,185,83,94,106,117,118,146,210,208,177,146,123,100,100,93,73,70,51,115,185,177,182,185,185,186,186,186,186,187,84,93,106,112,131,198,211,212,197,169,111,89,88,83,70,62,60,170,181,179,183,186,187,186,186,188,187,188,83,94,105,111,187,203,205,194,182,179,159,121,84,69,61,49,79,185,176,180,183,185,187,187,188,188,187,188,83,95,98,153,206,195,196,178,174,159,159,151,108,77,71,59,59,151,179,178,181,184,184,185,187,187,187,188
7,190,193,194,196,197,199,200,202,202,203,203,203,202,203,202,202,203,205,204,203,203,202,200,200,199,195,193,192,193,194,196,198,200,202,202,204,203,204,205,206,205,205,206,206,206,207,205,206,206,204,203,202,201,199,197,196,193,196,198,200,202,203,205,206,206,207,207,207,208,209,209,209,209,208,207,208,208,207,205,203,203,201,201,198,195,199,201,203,204,205,207,208,209,208,209,210,210,211,210,210,210,210,210,209,210,208,207,206,205,204,203,201,198,201,204,206,207,207,208,210,210,211,211,211,210,213,212,211,212,212,211,211,211,210,209,207,207,207,206,203,199,203,205,207,208,210,211,212,212,213,213,212,213,214,215,214,214,214,214,213,212,212,211,209,209,209,208,205,202,204,207,209,209,211,214,214,215,214,216,216,215,216,217,216,216,216,216,216,215,214,214,212,212,209,211,209,202,205,208,209,211,213,214,215,215,219,216,216,218,217,216,217,218,217,217,218,217,215,216,211,209,211,210,209,203,206,208,210,211,213,214,219,225,228,201,177,195,209,211,208,211,216,214,214,209,213,205,218,226,208,211,208,207,208,209,211,215,223,226,227,230,229,220,174,155,184,196,195,197,190,188,196,194,203,191,213,201,199,216,210,206,210,221,227,230,229,226,223,216,211,207,170,146,162,181,190,190,186,184,181,177,184,172,168,163,202,212,212,223,231,230,229,226,220,213,203,196,204,214,184,146,137,143,157,173,186,178,176,185,184,177,190,187,188,207,197,242,234,225,220,212,207,202,199,203,211,217,189,150,148,148,141,139,130,143,154,155,162,156,159,168,168,167,191,237,230,220,208,197,192,191,194,199,210,198,168,144,142,157,166,157,131,154,216,207,201,197,197,195,196,205,221,231,226,220,206,196,193,194,189,186,199,205,175,134,121,141,153,155,152,135,224,232,229,230,230,228,227,225,221,225,223,220,211,205,199,199,199,195,202,214,186,150,150,154,143,143,122,164,236,226,228,227,226,225,224,223,222,219,215,212,211,210,204,200,196,197,201,206,185,159,165,167,156,152,134,224,232,229,231,228,228,227,225,226,224,203,200,204,209,210,208,200,194,193,192,175,162,147,140,148,153,128,187,242,228,230,231,230,229,229,228,227,227,107,118,149,188,209,202,189,179,169,156,148,138,98,79,101,133,131,224,234,230,230,231,229,227,225,225,232,199,45,43,52,78,128,163,151,158,166,183,210,225,137,93,120,138,196,238,232,233,232,230,227,231,234,239,192,119,47,41,38,33,34,48,176,228,233,239,236,241,221,176,203,224,238,234,234,233,231,231,239,222,181,160,116,94,39,34,31,34,16,76,247,231,232,232,233,232,235,240,238,235,233,236,235,233,236,235,196,134,111,101,91,78,33,30,27,29,11,80,244,229,232,233,234,234,233,232,233,234,236,236,235,237,233,152,88,87,104,92,85,78,30,32,29,30,3,72,249,231,235,235,236,238,238,237,237,238,238,237,239,241,179,108,78,59,79,79,72,75,38,42,36,26,0,62,230,217,223,225,226,228,230,230,231,233,233,235,232,151,94,116,77,49,56,73,65,67,49,44,29,6,0,35,134,130,133,136,138,142,145,146,148,151,149,155,154,98,72,109,74,42,46,57,58,59,57,36,10,3,4,53,125,114,115,117,116,117,117,117,118,115,115,134,132,87,64,101,69,39,43,49,52,54,49,18,6,12,5,82,137,126,129,130,129,128,128,127,127,125,130,117,99,82,62,91,62,42,39,45,48,50
1,168,168,168,169,169,170,170,170,171,170,169,170,169,169,168,166,166,165,164,162,161,160,159,158,157,155,153,151,172,172,172,172,172,173,173,173,174,174,173,173,172,172,171,170,168,156,164,166,165,164,163,160,159,157,155,154,176,176,176,176,176,177,177,177,178,177,176,176,176,175,172,164,171,128,145,172,168,167,166,164,163,160,158,157,180,180,179,179,180,180,180,180,181,180,180,180,179,179,178,134,156,125,113,148,169,171,168,166,165,163,161,161,183,182,182,182,183,184,184,184,184,184,184,184,183,183,178,120,151,117,76,101,149,174,171,170,168,166,165,162,186,186,186,185,186,186,187,187,186,186,187,187,185,187,170,113,156,106,92,114,128,177,173,172,171,169,167,165,188,189,189,189,189,189,190,190,189,188,189,182,160,183,160,116,167,109,111,126,116,179,176,175,174,172,170,167,192,192,192,192,193,193,194,193,193,192,191,179,128,166,156,129,162,102,123,134,117,181,179,178,176,174,173,171,194,195,194,195,196,194,194,194,195,194,193,175,117,163,137,142,153,100,145,140,118,182,182,181,179,177,176,174,197,197,197,197,197,197,196,196,197,197,197,166,115,166,127,154,155,111,163,135,117,185,184,183,181,180,178,176,199,199,200,200,200,200,200,200,200,200,197,157,113,175,128,156,157,109,162,133,121,187,186,185,184,182,181,178,201,201,201,202,201,202,203,202,201,202,198,142,113,177,117,144,145,98,164,140,129,191,189,187,186,185,183,180,203,203,203,203,203,203,204,204,204,203,198,139,114,166,103,139,135,98,165,134,128,194,192,189,188,186,185,182,205,205,205,205,205,206,206,206,205,205,192,131,119,155,131,153,153,118,131,119,128,195,194,192,190,188,186,184,207,207,208,207,207,207,208,207,207,205,184,152,147,132,138,144,146,137,121,108,109,189,195,194,193,191,189,187,208,208,209,209,208,208,209,209,208,205,189,159,129,115,121,139,149,132,125,131,104,171,199,196,195,192,190,188,209,209,210,210,210,209,210,210,209,206,185,141,109,112,120,150,156,142,165,162,116,146,201,197,195,193,191,190,210,210,211,211,211,211,212,212,210,202,182,137,104,119,131,158,169,176,151,166,140,125,199,199,198,196,194,192,211,211,212,213,213,213,213,213,210,198,188,147,103,112,143,166,177,186,161,154,135,102,190,201,200,197,196,194,213,213,214,214,214,214,214,215,209,194,192,159,115,105,143,171,180,178,160,140,104,88,190,202,201,199,197,195,215,215,215,215,215,215,216,216,211,190,190,163,126,106,139,184,192,185,155,123,87,114,203,204,202,201,199,196,215,215,216,216,216,216,217,217,213,187,180,162,133,117,150,194,191,176,141,108,79,164,208,204,202,201,200,197,215,215,216,216,216,217,217,218,216,193,180,164,142,128,160,191,181,159,124,91,96,199,208,205,203,202,201,199,213,214,215,215,215,216,216,217,217,200,178,171,154,132,160,180,167,139,103,74,141,210,208,205,203,202,201,199,214,214,215,216,216,216,217,217,217,206,180,175,158,137,150,158,140,111,78,86,191,209,207,205,203,201,199,197,215,215,216,216,216,217,217,217,218,205,185,176,158,140,140,140,114,84,74,162,210,209,208,206,203,202,200,197,214,215,216,217,216,216,217,218,217,195,188,178,169,151,133,122,91,70,153,212,211,209,208,207,205,203,201,191,214,215,216,217,216,216,218,219,211,185,192,183,176,150,127,101,69,99,206,213,212,210,208,207,205,190,162,117
1,162,163,163,163,164,163,163,164,163,161,161,162,160,158,156,153,153,155,151,151,150,149,146,143,151,81,4,0,162,164,165,165,166,166,165,165,164,163,162,162,161,158,158,163,152,127,151,153,151,151,149,145,153,50,0,0,165,166,167,167,168,169,168,167,166,167,164,163,162,163,145,134,160,82,121,162,155,151,151,147,153,32,4,3,167,168,169,169,171,170,169,168,168,168,165,165,163,167,142,60,116,89,77,123,127,157,150,148,153,61,4,0,169,169,171,171,171,171,169,170,171,169,166,162,157,177,139,55,81,83,75,120,66,152,153,149,159,61,0,0,170,171,172,173,174,174,171,170,171,169,170,159,99,118,128,45,101,101,75,129,52,134,159,149,160,71,0,0,171,172,175,176,175,175,174,173,172,169,177,149,71,69,134,47,102,117,54,111,48,125,162,151,159,114,51,66,172,175,176,176,176,176,176,176,175,172,178,141,62,75,125,48,73,94,56,133,58,114,165,153,157,126,132,138,174,176,177,178,178,178,178,177,175,174,186,147,74,64,98,41,72,73,59,140,67,95,168,155,158,126,122,90,175,177,179,179,179,179,179,178,178,176,191,132,70,70,99,44,98,86,55,121,60,91,171,156,158,140,121,69,177,178,181,182,181,181,180,180,179,178,187,130,67,87,118,51,84,88,51,116,59,97,172,158,159,152,132,115,178,179,183,183,183,182,183,182,180,183,193,137,95,61,89,32,57,55,73,131,71,98,173,159,159,158,138,129,179,182,183,182,183,183,183,183,180,187,181,128,76,38,39,24,52,21,73,122,69,89,175,159,161,159,154,124,181,183,185,185,185,185,184,183,182,189,173,128,104,98,79,73,51,54,83,93,44,103,177,161,162,159,160,146,183,184,184,185,186,185,185,186,181,199,186,146,138,107,160,104,102,96,122,89,28,143,173,165,163,161,160,160,184,185,186,187,188,187,188,188,184,212,175,140,110,72,130,132,133,118,110,86,54,161,170,166,165,162,161,158,185,186,187,189,190,190,190,188,191,210,163,112,85,59,38,100,128,104,117,110,57,124,179,166,165,162,161,159,186,187,189,191,191,191,192,189,195,215,171,129,100,56,40,33,68,84,147,138,75,78,181,165,167,164,162,160,188,190,189,191,193,192,193,190,199,210,169,145,94,69,62,35,125,112,120,161,102,44,154,173,167,166,165,161,190,191,192,193,193,194,194,191,201,202,169,148,80,77,48,92,173,151,120,133,114,38,100,182,165,167,164,161,190,192,194,194,194,194,195,192,199,199,177,149,75,81,59,150,175,153,130,98,88,50,74,183,167,168,165,162,191,194,193,195,197,195,197,194,199,198,179,132,86,67,88,179,173,149,113,99,65,33,111,182,168,169,167,162,192,194,195,196,197,197,198,195,200,195,172,126,107,53,114,181,160,136,102,86,62,29,162,177,170,168,166,166,193,194,195,198,197,196,196,194,194,188,165,135,115,56,133,176,145,122,99,78,35,70,188,173,172,170,167,168,191,192,194,194,193,193,193,192,188,182,161,144,121,68,135,161,130,114,95,61,19,144,182,171,170,167,167,166,192,193,195,196,196,199,202,192,187,185,159,150,119,65,124,141,114,99,80,22,73,188,174,173,172,176,179,115,193,196,196,196,202,186,167,199,179,170,162,150,88,60,99,113,92,76,34,39,174,179,179,181,168,148,95,28,193,195,196,195,210,127,30,90,135,139,134,103,54,60,77,88,67,41,13,145,190,179,162,99,47,16,6,15
11,174,176,177,179,181,181,182,182,182,182,180,180,177,178,178,177,174,174,172,172,171,169,167,166,165,164,163,159,176,178,179,181,182,184,183,183,183,182,182,181,180,181,181,180,178,176,175,174,172,171,170,168,166,165,163,160,176,179,182,182,184,185,185,185,185,185,184,182,181,181,169,178,181,178,177,176,173,172,171,170,168,167,165,164,179,181,183,185,186,186,186,186,187,187,186,185,184,194,145,132,184,180,179,179,176,174,174,172,170,167,166,165,180,182,185,187,188,188,187,187,188,188,188,187,186,198,147,105,183,181,180,180,179,177,176,174,173,169,167,166,182,184,186,188,188,189,189,190,190,190,189,188,188,196,146,108,181,183,181,181,180,179,177,175,174,172,170,168,184,186,188,188,190,192,192,192,192,192,190,189,188,209,158,113,179,186,182,182,181,180,179,176,175,172,171,169,185,188,189,191,193,193,193,194,193,192,192,192,192,215,164,110,174,188,183,183,182,181,180,177,176,173,172,171,187,189,190,193,194,194,194,195,194,194,194,193,197,209,154,105,175,188,185,185,184,182,180,178,177,176,174,172,188,189,192,194,194,195,195,196,196,195,196,194,202,201,152,101,180,189,186,186,185,185,183,181,178,177,174,173,188,192,194,195,196,197,197,199,200,195,170,160,205,195,153,108,185,189,188,188,187,186,184,182,179,177,174,173,192,194,195,196,198,201,198,181,174,189,150,104,163,171,133,109,192,191,189,188,188,187,185,183,181,179,176,174,193,195,198,197,187,176,199,155,106,133,160,114,87,105,91,118,200,194,191,189,188,188,186,184,182,180,178,175,193,196,199,205,179,114,154,163,104,118,162,113,70,80,76,148,200,194,193,191,190,189,187,186,183,181,180,178,196,197,204,214,190,129,121,171,110,114,148,102,70,77,74,157,200,195,194,191,188,180,173,177,186,183,180,178,197,198,218,221,195,136,95,151,102,101,135,94,68,69,67,156,202,196,194,184,180,161,141,132,137,177,181,178,197,204,221,204,185,139,78,118,94,113,145,108,64,66,70,162,200,196,203,186,153,127,109,102,83,146,186,180,198,206,230,205,183,131,77,133,102,128,189,129,72,78,83,145,193,197,181,128,82,90,122,138,129,168,186,182,200,209,233,215,171,116,92,168,140,129,216,129,73,98,123,154,187,179,128,76,110,183,195,194,192,188,184,181,199,212,233,207,166,159,117,187,192,93,137,110,106,138,133,148,153,122,78,127,198,197,194,192,188,187,185,182,199,211,229,207,181,164,117,158,149,93,151,175,160,146,122,123,106,73,125,203,199,197,195,192,190,188,186,184,201,209,225,213,194,171,172,182,190,176,171,164,151,137,115,94,74,106,199,202,199,197,195,193,191,189,188,185,203,207,219,211,193,169,159,170,188,177,165,156,137,128,102,70,118,196,204,201,199,198,195,194,192,191,188,187,209,211,216,207,182,150,141,159,168,160,154,136,126,112,75,135,207,206,203,202,201,198,195,194,193,192,189,187,95,150,203,190,162,136,155,162,159,148,136,122,99,83,149,210,206,204,202,201,201,198,196,194,193,191,188,187,52,67,168,188,183,179,168,155,149,127,101,71,111,182,211,207,205,203,202,201,200,198,197,194,192,189,187,186,65,62,78,142,175,172,154,141,130,102,67,104,212,213,208,207,206,205,203,202,200,199,197,195,194,191,188,187,60,61,57,65,104,122,129,121,101,74,57,180,216,210,209,208,207,206,205,202,200,200,197,196,194,191,189,179
6,152,153,152,154,155,155,157,157,158,158,157,157,157,157,156,156,157,157,158,157,158,157,156,155,154,153,153,154,157,158,158,158,159,158,158,158,159,159,159,159,159,159,159,159,161,160,159,159,160,159,158,157,156,156,156,155,160,160,160,161,161,162,162,162,162,163,163,163,163,163,163,164,164,163,162,162,163,163,160,159,160,160,159,152,162,163,163,165,164,165,164,164,165,166,165,165,165,166,166,167,166,165,165,165,164,165,163,162,164,163,163,142,165,166,166,166,166,167,167,167,168,169,168,168,171,169,167,168,168,167,169,169,167,166,172,167,165,165,165,158,169,168,170,169,169,170,170,171,171,172,174,159,146,171,172,172,171,170,166,167,162,169,200,165,163,168,167,163,172,172,173,173,172,173,175,175,174,173,186,146,89,152,163,163,171,171,159,162,163,152,172,140,164,171,169,169,173,174,176,176,175,176,179,179,178,179,190,150,151,168,163,156,168,163,153,139,130,116,115,149,172,172,172,171,176,177,178,179,179,180,182,181,178,178,182,185,188,176,152,143,122,113,103,99,110,141,170,177,175,175,174,172,179,180,181,181,181,182,176,172,174,179,183,180,162,140,122,101,100,115,138,166,179,182,181,178,177,176,175,174,181,182,183,183,185,182,170,167,166,166,154,127,100,86,99,150,177,183,185,183,182,183,182,180,179,178,178,176,184,184,184,184,191,191,186,182,148,119,118,106,87,99,160,184,189,189,186,186,185,185,185,183,181,180,180,179,186,186,186,185,197,199,205,173,120,109,109,120,129,128,121,123,141,168,190,188,187,186,187,186,184,183,182,181,188,188,188,191,203,204,209,162,133,140,117,111,125,133,124,119,114,95,170,193,189,188,189,188,187,185,184,184,189,189,189,200,211,209,209,199,199,181,128,102,113,121,112,105,106,81,152,198,193,191,190,190,187,187,186,185,191,191,192,206,213,208,208,210,213,190,136,100,110,118,121,112,101,86,144,200,193,192,192,193,190,189,189,188,193,193,195,204,210,209,208,208,204,197,172,138,107,94,113,118,113,98,95,196,195,193,193,193,193,193,192,191,194,194,193,209,207,211,207,208,206,208,208,176,119,91,107,114,107,91,105,199,197,195,194,195,195,195,193,193,195,194,194,209,212,213,211,211,207,208,211,172,122,101,102,106,101,88,96,188,200,198,196,196,197,195,194,194,198,192,202,210,213,215,218,211,206,208,194,150,115,107,103,103,100,94,76,166,204,200,198,197,197,196,196,196,199,185,203,211,213,217,214,202,201,193,167,136,118,111,93,99,97,93,103,192,203,200,200,199,198,198,197,197,196,183,204,211,213,214,200,193,192,175,149,129,130,133,93,76,79,90,181,205,202,202,201,201,200,200,198,198,188,192,210,208,206,200,188,185,184,169,148,141,136,137,77,57,86,171,209,204,203,203,202,201,201,200,200,199,182,198,209,204,199,192,183,181,176,167,157,145,122,100,132,160,196,210,208,206,204,204,204,202,202,202,201,200,181,200,206,194,190,182,186,185,170,159,152,126,93,129,214,211,209,208,208,207,206,205,205,205,204,203,202,201,188,199,199,191,187,174,180,179,162,151,135,108,87,188,212,210,208,207,207,208,207,207,206,206,205,204,203,202,191,196,190,187,180,167,169,163,152,136,113,91,136,214,210,210,210,209,208,209,208,207,208,207,207,206,204,203,191,193,194,188,174,166,160,152,132,112,93,97,197,212,209,210,210,210,209,209,209,208,208,208,207,207,207,205
4,136,137,137,138,139,137,137,137,138,137,136,136,136,135,133,134,136,135,132,131,131,130,130,130,129,128,126,126,138,138,139,140,140,140,139,139,139,137,136,138,136,139,141,133,123,125,134,133,132,132,131,131,130,129,128,128,139,140,141,142,142,142,141,139,139,142,149,147,132,115,142,163,137,98,91,142,137,135,131,132,132,130,130,129,142,143,143,143,143,143,141,143,146,118,142,156,134,89,69,136,135,93,55,95,118,122,137,134,132,130,131,130,143,143,144,144,145,140,154,164,137,97,68,136,119,80,48,98,113,73,55,44,82,77,90,138,132,132,131,132,144,144,143,145,145,144,175,169,126,97,53,121,112,78,42,81,101,74,51,51,78,63,47,131,136,134,132,132,145,145,144,147,144,153,171,165,135,145,72,90,138,119,41,63,123,103,55,64,85,61,47,128,138,135,134,133,146,146,146,147,146,153,175,148,154,167,91,68,160,124,43,50,136,109,52,69,120,88,59,131,139,136,135,134,146,147,147,148,148,148,175,158,147,125,74,56,114,94,53,49,85,92,30,66,148,100,74,139,138,137,136,135,148,148,148,149,147,152,185,177,156,128,99,82,59,56,60,76,115,121,64,59,110,80,99,146,138,137,137,136,149,149,150,152,146,166,190,168,143,130,114,104,90,102,107,122,151,116,84,64,61,43,125,145,141,139,138,137,150,151,150,153,146,175,180,149,123,103,112,162,134,140,153,128,136,106,98,74,62,56,133,144,141,140,140,138,151,152,152,153,150,183,179,151,130,108,106,156,136,138,146,137,123,120,117,85,53,49,131,146,140,141,140,138,152,154,154,153,155,190,180,156,133,112,93,107,114,111,124,108,104,142,135,98,62,44,127,148,141,142,141,140,154,155,155,152,162,192,175,157,130,100,90,81,67,70,105,76,90,151,145,106,74,46,118,152,143,143,142,142,156,156,157,153,170,190,175,157,121,99,100,94,77,97,153,148,116,150,156,105,83,47,110,153,143,143,142,141,156,157,158,153,173,189,177,154,120,104,110,96,82,156,175,162,150,131,146,111,90,56,95,156,144,145,144,143,158,157,159,154,177,188,169,135,119,118,111,85,130,181,177,163,143,136,116,103,87,60,103,155,145,146,144,143,159,159,160,156,181,185,159,133,141,119,97,99,175,182,177,159,135,122,107,85,77,55,133,151,147,146,144,144,160,160,159,164,186,180,156,147,145,114,87,139,186,177,165,149,130,111,99,80,61,65,152,148,148,147,145,144,160,159,168,124,173,183,156,148,149,107,116,162,184,166,152,140,125,105,87,74,43,110,157,148,149,148,146,146,160,167,151,54,82,168,163,152,143,98,126,161,173,154,145,135,114,93,78,58,62,153,151,150,151,149,147,146,165,162,76,58,51,69,135,149,123,94,110,156,158,142,131,121,103,83,68,43,125,159,152,153,152,150,149,148,173,101,52,59,60,50,58,93,95,81,99,130,141,128,117,106,89,73,44,84,162,153,154,153,153,152,150,148,121,61,65,54,50,56,51,46,50,70,91,107,121,110,101,85,74,49,54,154,158,155,155,154,153,152,150,148,62,62,62,51,50,50,49,54,38,42,66,81,95,82,70,64,51,43,136,163,156,158,157,155,154,153,151,150,65,61,52,51,47,49,47,49,48,15,27,37,49,49,39,35,40,129,167,156,159,158,158,156,154,153,153,151,60,55,50,50,46,45,43,44,53,27,10,23,22,23,25,9,82,174,158,160,160,158,159,157,156,154,153,152
21,153,156,158,159,160,160,160,161,162,162,162,163,163,164,164,163,163,162,162,163,163,162,161,160,159,157,157,156,157,159,163,163,164,163,164,165,166,166,163,142,165,166,167,167,166,166,167,167,166,165,164,163,161,160,160,159,161,163,165,166,168,168,168,168,169,170,171,114,148,171,170,171,171,170,169,169,168,168,167,166,165,165,164,162,165,166,168,169,170,171,172,173,173,173,176,117,127,175,175,174,172,173,173,172,171,171,170,168,168,168,166,165,168,170,172,173,174,174,175,176,176,176,181,119,109,179,177,165,139,164,177,176,176,174,173,172,172,171,170,167,172,173,176,176,179,179,179,180,180,179,188,134,104,179,180,161,122,123,181,180,178,177,176,175,176,174,173,171,175,177,180,181,182,182,182,182,183,182,196,161,107,173,184,161,121,105,183,184,182,181,180,179,178,176,175,173,178,180,182,182,184,184,185,186,186,186,198,170,113,157,186,163,121,101,180,187,185,184,183,182,180,180,179,177,181,182,185,185,186,187,188,188,188,188,198,179,130,142,189,172,141,108,177,189,188,187,186,186,184,183,181,180,183,185,186,188,188,189,190,190,189,190,180,170,151,129,192,170,141,110,174,191,190,189,188,187,186,186,184,182,186,189,188,189,190,191,192,192,192,197,174,137,130,117,193,165,150,111,174,194,193,191,190,189,189,188,187,184,188,189,190,191,192,193,194,195,194,209,194,150,94,101,190,169,166,125,173,196,195,193,193,192,191,190,189,188,189,191,193,194,195,195,196,197,196,206,204,156,114,143,150,140,146,132,138,197,197,196,195,194,193,193,191,190,191,193,195,196,196,198,199,197,190,178,188,156,106,125,121,132,128,130,117,180,199,198,197,196,195,194,193,192,194,196,197,199,199,201,201,198,183,132,143,169,99,64,99,118,102,161,139,143,201,200,200,199,198,196,195,194,195,197,199,201,201,202,202,203,190,146,105,173,127,71,76,79,134,188,167,122,189,201,201,200,200,198,197,195,196,199,199,201,201,202,204,198,187,166,107,157,139,72,91,149,137,185,170,124,141,203,202,201,201,199,199,198,198,200,200,202,203,204,205,208,177,166,110,89,92,62,95,179,178,168,141,109,100,199,203,202,201,200,200,199,199,201,201,203,205,206,203,198,161,153,108,80,68,79,135,188,190,162,118,96,98,198,205,204,202,201,200,200,200,202,203,206,207,207,204,199,189,141,130,111,82,122,181,200,186,157,115,92,120,206,207,206,204,203,202,201,201,203,204,206,207,208,206,205,182,161,139,133,100,157,204,200,187,152,111,84,162,210,208,207,206,205,203,203,202,204,206,207,208,209,208,209,191,173,137,174,164,199,214,206,185,137,101,86,194,210,209,208,207,207,205,203,203,205,206,208,208,210,210,206,199,165,159,177,188,214,223,211,170,121,90,108,210,211,210,209,209,207,206,205,204,206,207,208,210,210,210,196,196,177,172,164,184,204,216,196,149,110,85,148,214,214,211,210,209,208,208,206,204,206,206,208,209,210,210,192,191,183,175,161,177,193,190,165,123,96,88,192,214,214,213,211,210,209,210,208,202,205,206,208,208,209,212,203,182,178,173,167,161,166,166,136,99,83,137,213,215,214,213,213,211,210,207,194,203,205,207,208,209,209,211,212,181,176,170,171,153,151,153,121,89,86,196,213,215,214,213,212,211,208,202,134,205,206,208,208,210,211,212,214,187,171,158,158,143,141,141,112,81,111,211,215,215,215,214,211,213,179,148,106
20,119,124,127,132,134,137,139,141,143,144,146,146,146,145,150,150,148,150,150,150,150,151,151,150,151,150,149,147,124,128,133,137,139,142,144,145,148,150,151,151,148,167,125,136,158,153,153,154,154,155,155,154,156,155,153,152,128,132,136,140,143,146,149,151,152,153,154,155,156,195,102,95,156,157,157,158,158,158,160,159,159,158,156,154,131,136,141,144,148,152,152,154,156,158,160,159,164,196,107,81,119,120,171,161,162,162,163,163,162,161,159,158,136,140,146,149,152,154,157,158,160,161,163,164,168,192,102,108,145,81,173,166,165,165,166,166,166,165,163,162,140,144,149,152,156,158,160,162,164,164,167,167,172,195,107,124,161,72,162,173,169,169,170,170,170,168,167,166,142,148,152,155,160,161,164,166,168,169,170,168,177,201,114,125,176,77,156,179,173,173,175,174,172,172,171,169,145,150,154,159,162,166,168,170,171,172,175,170,186,197,114,124,190,87,145,185,175,177,178,177,176,177,175,173,149,152,157,161,164,169,171,174,176,177,177,173,196,201,119,132,191,96,131,190,178,181,181,180,180,180,178,177,152,155,160,164,168,171,175,177,179,181,178,144,184,218,117,138,204,106,122,195,181,185,185,184,184,183,181,179,153,158,162,167,170,175,178,178,172,189,207,148,128,156,93,122,209,116,121,198,184,187,187,187,186,185,184,183,157,162,166,169,173,178,180,186,173,151,204,179,100,72,54,102,174,115,117,199,187,191,189,189,188,188,188,185,159,164,169,171,176,181,181,195,205,146,149,179,131,124,91,87,132,110,111,202,190,193,193,192,191,192,190,188,160,165,170,176,179,184,186,183,179,151,110,167,155,171,150,79,80,97,99,201,192,194,194,193,194,193,192,192,164,168,173,177,181,186,188,181,142,147,91,179,156,161,156,90,50,61,95,204,192,196,196,196,197,195,194,194,165,171,176,178,183,187,188,190,181,149,116,120,104,66,158,124,66,37,86,205,196,199,200,200,199,197,195,194,166,171,176,181,184,189,190,202,173,111,71,34,36,20,130,167,97,44,63,203,201,201,202,202,201,200,198,196,168,173,177,182,185,192,194,201,176,132,90,68,67,73,155,202,134,73,54,191,205,201,203,204,202,201,201,200,170,174,178,184,187,191,192,203,194,139,99,88,105,163,217,190,139,97,59,187,209,203,204,206,205,204,203,202,170,176,180,185,188,193,193,205,199,151,111,114,130,200,216,176,121,84,64,198,208,204,206,206,205,205,204,203,171,178,182,186,191,195,193,206,209,172,139,124,137,210,196,158,107,64,71,208,207,207,208,209,208,207,205,205,173,178,184,188,193,195,194,204,215,182,143,137,143,212,187,140,97,62,76,211,209,210,211,211,209,210,208,205,173,179,185,189,193,196,196,198,208,178,159,165,145,207,181,124,85,57,89,214,209,212,211,211,210,210,210,207,173,178,183,188,193,195,197,195,189,180,160,167,136,194,161,114,77,49,104,221,208,210,211,211,211,211,210,208,173,179,185,189,192,194,196,197,193,181,160,162,121,167,136,95,77,46,129,221,207,209,211,211,212,211,210,210,175,180,184,189,191,195,196,196,199,185,151,136,96,141,114,90,79,55,182,216,209,210,212,212,212,211,210,210,175,181,185,189,192,195,198,194,201,187,154,118,104,150,102,100,62,106,218,210,212,212,214,213,212,212,212,211,175,181,186,189,192,194,198,193,204,199,169,141,134,149,91,93,49,173,215,210,212,213,215,213,213,213,212,210
6,239,239,240,241,241,241,241,241,243,244,244,244,244,243,244,245,242,243,244,245,244,243,242,242,241,240,240,239,240,240,241,243,243,243,243,243,243,243,243,245,246,246,246,247,246,246,246,246,245,246,244,243,244,242,241,241,241,241,243,243,243,243,245,245,244,243,243,244,246,247,248,248,246,247,249,249,249,248,246,245,245,242,242,244,241,242,242,244,244,244,246,247,247,247,246,245,247,248,250,251,251,250,249,250,248,246,246,248,243,247,246,245,242,244,244,244,247,247,247,247,247,249,252,250,250,249,247,240,234,236,234,235,229,220,201,202,227,222,243,247,244,245,245,247,247,248,248,249,249,247,244,241,230,229,232,223,227,231,251,251,236,223,205,190,208,181,236,251,243,245,245,248,248,250,249,243,232,223,226,226,226,245,246,229,216,220,223,212,194,172,162,167,176,204,251,249,241,244,246,249,249,246,242,235,222,210,208,215,220,212,200,178,161,151,151,169,181,195,213,233,245,252,251,250,243,244,246,243,242,240,238,239,222,195,166,156,148,132,129,130,135,182,233,252,255,255,255,255,252,251,250,250,242,242,240,235,232,235,237,236,232,212,155,113,99,106,140,186,232,255,255,255,251,249,250,251,251,250,249,248,242,233,230,232,236,232,235,241,240,199,147,108,101,106,138,255,255,249,253,252,250,250,251,250,251,250,249,248,230,231,232,232,230,235,244,244,205,144,126,109,102,112,107,134,235,255,251,253,252,251,251,251,251,249,249,249,232,234,230,232,232,240,239,239,223,189,136,99,99,120,116,99,106,224,255,252,253,253,253,253,252,251,250,250,241,235,231,235,239,237,238,253,254,218,150,100,92,111,135,132,107,111,250,255,255,255,255,254,251,250,251,250,236,237,236,232,237,243,241,255,244,190,137,105,102,101,110,119,124,91,208,255,253,255,254,254,253,251,251,251,239,238,234,233,236,238,234,242,231,176,125,104,106,106,92,94,103,126,240,255,255,255,255,255,255,255,254,250,241,234,229,227,221,224,227,233,231,194,134,90,99,112,113,109,90,187,231,231,236,239,243,241,234,233,247,255,235,231,230,228,224,228,233,241,246,209,136,94,82,95,136,110,102,121,120,126,129,126,121,133,180,225,255,255,230,238,236,232,232,238,240,249,242,190,117,99,100,87,98,115,117,123,119,116,108,141,180,221,255,255,255,255,234,234,228,226,226,221,215,227,198,153,119,106,104,100,98,125,139,122,134,154,202,255,255,248,231,239,242,255,227,217,212,215,204,191,189,190,164,138,123,117,112,99,102,115,148,215,248,255,255,249,240,242,229,218,233,238,209,211,203,192,182,176,175,168,145,123,118,120,119,104,116,181,255,255,255,255,244,226,214,217,224,212,203,208,181,186,183,170,162,152,137,135,136,122,125,118,121,165,243,255,255,251,248,243,225,206,201,202,213,208,195,201,129,137,136,133,122,115,116,121,123,127,114,161,241,255,255,255,255,243,236,242,212,183,194,193,198,202,195,195,96,97,107,110,112,120,124,124,129,108,181,255,255,255,255,252,239,237,237,238,202,161,181,188,181,195,189,185,110,111,122,125,120,121,125,125,107,192,255,252,255,238,248,241,222,229,237,239,197,146,161,177,178,186,180,189,119,119,121,120,119,122,120,109,198,255,244,233,234,235,244,227,210,215,231,236,200,139,140,165,171,176,186,181,119,118,119,119,121,118,132,215,255,248,234,220,232,234,239,217,199,200,221,238,203,142,132,153,170,179,192,171
13,166,166,167,166,166,166,167,169,168,167,167,168,169,170,170,169,169,170,170,170,170,169,169,168,168,167,167,166,167,169,169,168,168,168,170,169,169,169,170,169,169,171,172,172,172,172,171,171,172,171,169,170,171,170,168,167,168,170,169,170,170,170,170,170,171,170,171,171,171,171,171,171,170,169,174,175,173,172,170,171,171,170,169,169,168,169,170,170,170,172,172,172,171,170,171,173,173,171,173,181,179,153,130,158,167,172,175,172,173,171,171,171,168,169,171,171,171,173,173,171,171,171,171,174,170,180,201,203,199,167,120,85,103,108,160,177,172,172,172,171,169,169,170,172,172,171,171,172,174,174,172,172,172,179,173,186,197,176,127,82,68,79,100,185,170,172,172,172,170,170,171,171,172,172,172,173,175,171,176,163,142,165,141,134,172,178,150,95,76,127,95,176,174,173,174,173,170,171,172,172,173,173,174,175,174,176,199,163,122,154,166,160,171,165,168,102,71,103,88,174,175,175,175,174,170,171,172,173,173,173,174,174,169,181,207,173,147,115,134,168,174,153,110,74,39,101,164,176,176,176,175,175,170,172,171,172,173,176,170,180,178,121,135,184,167,132,61,98,161,160,128,110,81,80,180,178,176,176,176,175,170,171,173,173,172,169,176,199,172,105,72,153,189,147,80,16,91,124,137,161,145,81,118,188,174,177,176,175,170,171,172,173,171,181,201,184,152,115,76,112,197,147,110,42,33,43,148,181,166,130,77,163,180,176,176,176,171,170,171,170,176,194,175,153,154,131,95,71,192,156,134,76,39,39,107,193,179,152,95,96,184,175,174,175,172,171,172,171,189,179,141,135,164,140,111,44,141,186,151,112,37,48,96,183,185,152,120,75,149,183,175,175,173,172,172,173,192,185,160,128,164,144,121,84,43,174,174,139,82,71,181,175,172,148,127,83,126,189,176,177,172,171,170,174,187,176,161,130,128,152,150,124,34,65,180,166,154,106,178,173,149,120,109,73,136,187,176,177,170,170,171,171,190,194,176,152,120,122,158,135,117,32,120,175,151,156,172,158,138,109,81,67,162,182,177,176,176,176,177,175,188,198,186,163,150,132,134,131,152,91,150,190,177,185,166,148,129,104,74,83,179,177,178,177,131,133,139,136,172,202,192,174,157,149,151,135,107,118,185,197,197,176,162,144,122,95,63,118,190,182,184,182,73,72,76,62,131,207,191,182,168,156,159,159,129,119,173,195,194,175,148,135,115,86,66,103,132,132,135,136,79,78,80,72,97,195,185,186,183,169,161,157,147,110,140,191,184,169,144,118,102,77,73,73,66,63,65,73,79,79,79,81,72,165,185,182,185,182,170,158,145,127,113,174,173,156,137,107,89,76,68,72,80,100,126,153,78,79,81,83,71,109,189,178,187,187,172,159,142,131,115,140,160,141,118,102,85,65,79,142,163,177,183,183,78,80,80,81,84,71,149,187,182,179,163,149,137,125,115,117,138,131,112,96,82,54,140,199,178,170,163,171,79,80,80,79,83,73,95,189,176,162,148,140,133,123,104,103,125,133,120,87,69,68,182,183,168,157,138,133,79,80,79,79,78,81,73,164,182,149,135,137,131,119,98,89,131,145,110,78,55,121,196,177,163,124,115,119,79,79,80,78,77,84,70,141,188,158,152,147,131,114,100,87,138,138,89,69,66,181,191,191,170,117,89,116,79,80,81,77,78,83,69,131,193,167,166,155,136,119,107,85,140,121,81,56,100,193,179,200,187,131,80,98
3,115,126,134,136,142,149,151,155,159,162,165,167,169,170,172,171,175,165,173,173,173,174,174,174,173,173,174,174,116,128,135,137,144,152,153,157,160,163,168,170,171,172,174,172,201,137,149,180,174,174,175,174,173,173,174,174,118,130,136,138,147,154,157,161,163,166,170,173,175,176,178,175,214,145,114,184,179,178,178,175,175,174,174,174,121,131,136,141,148,156,160,164,167,170,173,177,180,181,182,176,220,158,97,190,173,178,180,179,179,177,177,175,124,134,139,144,152,159,163,167,171,175,180,180,182,187,187,193,197,141,94,212,148,154,190,181,182,180,181,180,128,138,143,146,155,163,165,170,175,182,179,185,194,170,204,239,201,188,142,194,169,113,197,186,186,185,185,184,131,140,145,152,160,166,170,173,173,171,202,234,228,171,123,153,204,218,180,122,171,108,150,201,190,189,189,188,135,145,150,156,164,169,171,205,202,171,207,183,199,210,179,67,112,163,106,89,145,145,106,163,201,192,194,192,139,148,152,159,169,169,200,205,179,187,156,103,97,190,203,105,113,118,85,152,158,157,118,121,208,197,198,196,142,151,155,163,172,179,216,150,93,152,94,86,60,78,117,82,95,74,67,183,195,194,132,123,210,200,202,201,144,153,158,165,175,184,221,167,105,161,134,125,92,104,89,68,74,77,74,187,225,211,141,126,215,203,205,205,148,155,160,169,179,183,226,186,136,174,193,169,139,124,109,104,94,89,77,167,228,211,140,132,218,206,208,208,151,159,163,172,184,185,223,210,180,162,162,126,129,137,136,145,116,131,122,159,226,204,129,130,221,209,212,211,154,161,165,174,186,190,229,212,166,146,142,128,135,146,164,159,171,192,216,214,198,173,118,126,224,213,215,214,157,164,168,178,188,192,232,212,161,135,131,138,144,160,179,189,214,220,228,214,171,131,114,122,225,216,217,217,159,167,172,181,191,193,231,225,183,146,131,151,152,168,202,209,220,228,225,196,150,117,98,139,232,219,222,222,163,169,174,184,194,196,227,241,201,168,137,136,151,184,212,217,230,236,220,182,136,108,85,202,230,224,224,223,165,170,176,186,197,199,219,246,218,190,158,136,152,180,210,225,241,234,205,163,132,85,135,239,225,228,226,225,166,172,179,190,198,203,215,248,233,204,175,155,155,169,204,231,239,227,190,146,116,81,200,235,227,229,228,226,170,173,182,192,200,208,212,243,242,220,187,177,171,167,198,229,230,211,172,134,94,110,238,229,228,229,232,237,172,177,185,194,203,210,211,228,238,234,207,191,181,165,207,216,221,188,149,119,76,171,242,230,239,245,226,188,175,180,187,196,206,212,215,214,232,236,219,202,188,162,199,208,196,164,127,95,92,235,246,236,205,146,87,54,177,181,190,199,208,215,219,212,220,228,220,208,188,163,161,195,173,141,115,74,174,244,167,106,64,47,46,44,180,183,192,202,210,216,220,220,213,228,221,208,189,164,146,172,166,131,99,109,203,104,51,43,48,43,46,38,183,185,195,203,211,218,220,224,213,232,217,199,184,156,143,155,151,123,91,110,93,54,62,37,35,54,39,32,185,188,196,205,212,219,221,224,218,230,198,179,176,155,147,143,134,123,93,54,39,52,71,39,17,45,51,26,181,186,195,206,213,217,221,225,212,232,213,191,194,175,153,143,126,123,82,56,41,25,63,54,14,27,55,42,182,188,198,207,214,219,222,231,205,229,231,211,214,180,157,143,123,120,74,52,53,18,35,63,27,14,40,52
16,62,62,63,64,65,75,85,95,104,111,118,123,126,127,129,134,138,142,146,149,152,155,157,160,162,163,166,168,61,62,63,63,65,76,86,96,104,110,119,124,125,127,129,132,137,142,146,150,152,155,158,161,163,164,167,169,60,60,62,62,64,75,86,96,102,110,118,123,125,124,128,131,135,141,145,149,151,154,156,160,162,164,166,168,60,60,63,62,64,76,85,95,104,112,119,123,124,125,124,134,139,140,143,148,151,154,155,159,163,164,166,168,60,60,62,62,66,76,86,95,103,108,115,117,139,144,116,102,123,145,150,147,149,154,157,160,163,164,167,169,60,59,61,60,65,76,85,96,99,118,126,142,160,141,117,95,75,86,124,151,155,155,157,159,163,165,168,168,59,59,60,59,63,73,86,86,117,169,157,158,147,120,103,100,83,64,56,87,132,152,160,163,163,164,166,168,59,60,60,60,62,75,82,90,165,164,145,136,129,112,96,82,81,74,61,55,61,83,110,136,160,169,166,168,57,59,60,58,63,71,81,160,165,133,125,119,108,99,81,71,75,80,66,64,60,55,55,64,93,140,168,172,56,58,60,57,63,59,122,170,130,119,111,98,87,76,70,70,64,86,74,71,65,60,55,54,53,64,105,154,51,51,52,51,53,106,136,126,114,107,90,77,69,62,67,56,55,82,81,89,69,63,56,53,55,55,51,71,96,91,93,86,115,155,118,108,102,84,70,65,55,58,62,36,58,84,89,91,73,67,55,53,52,55,57,51,88,91,91,90,172,155,122,95,76,68,62,50,47,58,43,23,71,86,89,93,78,71,59,57,51,52,54,55,84,89,73,120,175,142,107,76,52,50,43,38,48,43,14,21,75,83,88,102,91,81,65,59,50,50,53,52,93,89,96,166,150,123,81,57,41,46,32,22,18,9,2,9,71,79,94,116,109,90,77,53,49,52,51,48,95,81,140,148,117,91,61,44,38,40,16,2,0,0,0,1,60,81,100,125,98,95,85,48,47,49,48,46,85,109,159,123,84,59,47,40,41,40,24,0,0,0,0,0,37,74,119,116,77,96,84,45,47,44,47,46,86,156,144,97,60,37,37,43,47,47,48,31,0,2,8,9,5,94,137,92,68,88,67,44,47,45,47,43,124,145,102,64,46,64,49,48,51,53,51,45,27,29,31,17,42,142,115,75,64,65,48,44,44,45,42,40,151,100,66,36,70,88,63,72,63,59,55,46,42,42,37,23,118,134,95,64,53,46,41,45,43,41,43,47,110,68,37,57,85,68,68,68,65,59,55,48,41,39,21,65,152,118,79,51,43,38,39,41,38,43,49,49,71,42,58,90,91,86,84,69,58,52,56,43,42,54,59,125,154,120,61,41,38,41,42,40,42,47,46,46,75,76,90,91,93,93,91,91,84,79,85,81,84,93,87,154,157,125,57,26,34,46,44,43,44,45,47,47,94,92,90,90,92,92,92,93,93,94,93,94,94,93,88,156,161,130,69,34,74,59,54,50,48,50,49,50,90,89,89,91,92,92,91,92,91,91,93,93,93,94,85,133,147,117,60,78,118,69,63,63,61,59,53,50,90,90,89,90,92,91,90,91,92,93,92,93,94,96,89,102,124,87,57,85,126,107,74,67,71,73,64,53,91,91,90,90,92,91,90,91,91,92,90,91,94,93,92,92,98,74,72,86,107,139,105,92,87,87,77,66,90,90,91,91,91,92,91,91,91,92,92,92,94,93,94,94,94,93,94,90,91,150,128,112,103,96,87,75
1,166,167,169,169,171,170,169,169,169,168,167,166,167,166,166,167,165,162,160,160,158,156,153,152,150,149,146,145,167,167,169,170,170,171,171,170,169,168,167,168,167,167,166,141,152,164,160,159,158,156,153,153,151,149,147,146,167,168,169,171,171,172,172,172,171,170,169,171,165,134,147,120,109,167,163,160,158,157,155,154,152,150,149,147,168,170,171,171,172,173,172,172,172,171,171,171,167,113,110,127,83,109,129,164,159,158,156,155,153,151,150,149,170,172,173,173,174,175,175,175,174,173,173,173,163,104,112,126,67,92,89,159,163,159,157,156,153,151,150,149,172,174,174,175,175,176,176,176,176,174,172,176,158,93,120,116,65,106,83,148,164,159,159,157,156,154,153,152,174,175,175,178,179,179,178,178,178,176,141,148,153,91,134,119,70,114,79,139,167,162,161,159,157,156,154,152,175,177,179,179,179,180,180,180,179,178,129,115,154,95,134,112,71,120,85,137,169,164,164,162,159,158,156,153,178,180,180,180,181,181,181,181,181,176,113,118,136,88,134,98,80,131,88,131,171,166,165,163,161,159,158,157,179,180,181,182,183,183,183,183,184,171,98,126,121,88,137,98,98,134,80,132,173,168,166,165,162,160,158,158,180,180,181,183,184,185,185,185,185,171,100,128,133,94,140,109,97,130,81,139,175,170,168,167,164,162,159,158,181,182,183,184,185,186,186,186,189,164,89,128,142,91,134,107,88,134,94,137,176,171,169,167,166,163,161,159,181,183,185,185,186,187,188,187,190,165,93,123,134,77,115,86,88,136,90,133,179,172,171,169,167,164,163,160,182,185,187,187,187,188,189,188,192,170,99,107,131,98,116,123,121,107,87,116,170,174,172,170,168,165,164,162,184,186,187,188,189,190,189,189,193,162,114,126,122,125,122,127,127,95,91,82,114,178,172,170,169,166,165,164,185,186,187,189,191,192,192,192,194,171,148,121,100,107,111,120,116,104,90,92,91,169,173,171,169,166,165,164,186,187,188,190,191,192,193,193,198,175,136,101,92,95,114,125,107,99,116,129,93,142,178,172,170,166,165,163,187,188,189,191,192,192,193,195,199,171,130,94,94,100,122,132,134,141,130,139,114,111,179,173,172,168,166,164,188,188,190,192,193,193,194,196,196,174,135,96,95,106,128,140,150,165,139,131,125,89,170,175,172,170,167,165,189,189,192,193,193,194,195,196,192,175,144,106,87,110,129,146,150,152,146,121,100,69,164,176,172,170,168,166,189,190,192,193,194,194,195,196,190,178,154,118,92,98,132,157,159,153,134,109,85,75,174,176,172,170,169,167,188,189,191,194,195,195,196,197,189,173,152,122,99,98,137,166,160,147,126,102,72,114,184,176,173,171,170,167,189,191,192,194,195,196,197,198,188,170,153,129,106,109,146,164,153,139,117,96,65,158,182,178,174,172,171,167,189,192,194,195,196,196,198,199,193,173,155,139,121,118,153,159,152,132,107,78,87,184,180,178,175,174,172,169,190,192,193,196,197,197,199,200,198,177,158,146,130,118,144,147,137,118,93,58,144,187,181,179,177,175,172,171,191,193,194,196,198,199,199,200,200,187,166,150,134,117,129,132,115,96,63,96,187,185,181,180,177,175,173,171,191,193,194,195,195,197,200,201,199,190,168,143,132,124,123,118,96,66,91,183,188,185,181,180,177,174,173,171,191,194,194,195,195,199,201,202,194,188,170,147,147,128,115,104,74,63,171,192,186,185,181,180,177,174,173,171
21,124,127,132,138,143,148,151,155,157,159,162,164,165,165,164,164,165,163,162,162,161,160,158,156,156,156,152,150,126,128,133,140,146,150,153,156,158,161,165,165,166,166,165,167,163,164,167,163,163,162,161,159,157,158,155,153,128,131,136,142,148,152,155,157,161,164,165,168,168,168,169,167,181,155,141,169,164,163,164,162,159,159,158,154,130,132,138,144,149,153,157,160,163,165,168,170,170,171,172,165,204,161,103,174,165,165,164,163,163,161,159,157,131,134,140,147,152,155,159,163,165,166,169,171,172,172,173,165,207,158,98,171,167,166,165,166,158,160,161,159,132,135,141,147,154,157,159,163,166,168,170,173,174,172,173,168,215,157,97,170,169,169,166,192,127,137,168,161,134,138,143,150,155,158,162,165,167,169,172,173,173,173,174,170,222,166,105,169,172,169,175,198,103,137,169,162,135,139,146,153,157,161,165,165,169,172,174,175,174,176,177,172,228,167,113,170,175,166,191,183,97,151,169,164,136,138,147,153,157,162,165,168,172,174,176,177,177,177,177,176,229,159,116,170,176,170,207,163,102,161,167,164,138,140,147,155,158,163,167,171,172,175,177,179,179,177,175,186,240,164,118,168,176,178,221,154,114,172,168,167,139,142,150,155,161,165,168,173,174,176,179,181,177,197,190,169,227,184,124,170,173,199,219,137,127,178,169,168,140,143,150,158,162,167,171,173,176,178,180,178,184,247,212,150,130,170,127,174,177,225,202,118,140,180,171,170,142,144,153,160,164,169,173,175,177,179,186,213,174,209,234,169,91,109,131,175,197,229,177,106,159,178,172,172,142,146,154,162,168,172,176,178,181,175,217,251,187,140,221,167,91,82,128,179,207,209,148,116,178,174,173,172,143,148,156,163,169,173,176,180,183,181,235,255,221,126,169,178,98,72,100,151,181,185,123,142,184,175,174,174,144,149,157,164,171,174,179,181,183,191,232,218,230,119,136,214,148,85,74,108,139,144,112,174,182,178,176,174,146,151,160,166,171,175,180,184,183,199,242,206,215,156,108,216,200,127,72,93,126,106,121,189,180,180,179,176,146,151,162,167,172,177,180,186,181,222,252,203,184,178,96,168,209,168,100,69,104,90,132,192,182,182,181,178,147,152,161,169,174,179,182,189,183,236,236,177,149,130,114,124,200,201,151,79,78,82,148,192,184,183,182,180,148,153,163,171,176,180,184,190,185,241,236,176,140,141,151,155,197,228,189,122,75,82,172,192,186,186,184,182,149,155,163,171,177,181,187,190,188,245,236,176,138,159,166,217,222,228,215,160,94,95,192,190,188,189,186,183,148,155,165,172,177,182,187,191,191,246,236,178,143,173,186,241,231,220,206,180,120,110,199,191,191,190,187,185,146,154,164,171,176,182,187,191,191,246,240,174,159,173,202,251,239,221,184,161,120,113,200,191,190,189,187,185,147,154,164,172,179,182,188,193,192,244,242,173,187,169,224,255,240,214,185,131,95,120,201,192,192,190,189,187,148,155,166,174,180,184,189,195,193,239,238,190,209,168,229,255,236,209,178,122,85,145,205,194,193,191,189,187,148,156,165,172,179,184,189,195,191,229,238,215,215,167,221,255,222,195,155,116,91,176,201,194,194,191,189,187,147,155,165,174,181,186,191,197,195,220,245,229,213,165,209,240,197,168,133,101,110,204,200,199,197,196,195,188,140,146,151,155,159,162,165,170,168,186,243,224,203,161,184,222,176,143,121,97,117,168,163,162,160,160,156,167
13,162,162,164,166,167,168,169,169,170,170,171,170,170,170,170,170,168,167,167,166,166,165,163,161,161,159,158,158,162,163,165,167,168,169,170,171,171,172,173,174,176,171,172,174,174,169,168,167,166,166,165,164,163,161,160,158,163,165,166,168,170,171,171,172,172,173,162,138,144,179,160,135,143,174,170,169,168,167,167,166,164,164,162,160,164,166,167,169,171,171,172,175,173,177,161,133,109,136,143,119,82,148,178,170,170,169,168,166,165,164,163,161,165,167,169,170,171,173,174,175,173,184,180,148,127,84,135,132,89,112,183,170,171,170,169,168,166,165,164,162,165,168,170,171,172,173,174,175,175,177,182,150,122,81,113,127,89,97,181,173,172,171,169,169,168,166,165,163,166,169,171,173,174,174,176,176,180,181,173,148,116,85,90,107,79,90,180,173,173,171,170,170,170,168,166,164,167,169,172,173,175,176,177,176,166,170,161,146,119,95,86,117,80,99,182,173,174,174,173,171,171,169,167,165,168,170,171,174,176,177,177,164,124,107,114,149,149,109,94,124,89,103,186,174,176,175,173,171,171,170,168,167,168,171,173,175,177,177,186,163,124,112,93,148,162,117,86,112,87,72,164,181,176,176,174,173,172,171,170,168,170,172,173,176,176,170,141,145,141,131,98,83,120,90,80,88,86,82,112,184,176,176,175,174,174,171,170,168,170,172,175,174,182,164,113,101,150,134,119,67,46,52,74,91,103,112,85,154,184,175,176,174,174,173,171,169,170,173,173,182,188,149,125,106,127,143,119,96,50,73,78,106,124,122,90,111,188,176,176,175,174,173,172,171,171,174,175,187,155,148,139,124,101,136,126,109,62,82,131,140,127,111,93,98,186,177,176,176,176,174,172,170,170,173,176,188,152,129,135,120,101,113,117,89,60,92,143,151,135,106,81,111,188,177,178,178,176,175,173,170,172,173,179,178,153,118,110,111,87,70,92,83,67,113,151,144,133,105,69,136,190,179,178,177,175,175,173,171,172,174,177,179,171,147,113,89,70,59,89,94,95,156,159,139,126,99,70,163,187,180,178,177,176,175,174,171,173,175,176,178,175,157,134,118,103,102,111,111,150,173,152,131,116,92,83,182,182,181,180,178,177,176,174,172,173,176,177,177,172,161,143,124,108,111,142,168,169,160,143,125,110,80,103,192,181,182,180,178,177,175,174,174,173,176,178,179,163,151,140,122,111,112,135,166,161,150,132,115,103,70,127,194,182,183,181,178,177,176,175,175,173,175,178,180,158,150,142,127,121,116,127,158,160,147,124,105,95,64,157,191,184,182,181,179,177,176,176,174,174,176,177,182,170,150,143,133,126,115,121,152,153,137,113,96,75,86,189,184,184,183,182,180,178,176,176,175,172,175,177,181,182,155,144,136,123,114,112,135,141,124,101,89,61,142,195,184,185,183,182,181,178,178,177,175,173,175,179,181,184,178,150,132,120,114,112,124,136,119,100,81,77,184,187,185,184,183,182,181,179,178,178,175,174,176,179,182,183,183,163,140,124,119,123,124,132,120,99,73,118,197,185,186,185,185,183,181,181,180,178,175,173,176,178,180,181,178,169,148,143,140,137,129,132,117,92,74,153,193,184,185,184,183,182,180,180,178,177,175,172,175,177,181,180,172,176,158,152,147,139,135,125,108,87,78,176,188,185,183,182,182,181,179,178,176,175,174,172,175,177,180,180,169,181,161,153,153,138,127,111,104,80,88,187,185,185,184,183,183,181,180,178,176,175,174
11,157,156,156,156,155,154,155,155,151,154,151,148,148,148,146,144,142,140,139,138,135,133,132,131,128,127,124,126,161,160,159,160,159,159,160,158,162,126,150,154,151,151,150,148,146,144,142,141,139,137,135,133,131,129,133,112,165,165,164,164,164,165,165,163,175,109,104,167,156,156,154,151,149,148,147,144,143,141,138,134,135,133,70,4,170,170,170,169,169,170,168,168,164,143,69,148,167,160,158,156,154,151,149,147,145,145,141,139,134,50,0,0,174,174,174,174,175,174,173,173,169,159,83,106,176,163,163,160,159,156,154,152,151,148,145,150,78,2,0,0,179,178,178,178,178,177,177,176,173,159,96,79,178,167,167,164,164,160,159,157,155,151,152,140,25,19,11,0,181,182,182,182,181,181,181,180,178,165,135,65,163,177,170,168,167,165,163,161,159,155,160,129,12,19,10,5,184,185,185,184,184,183,185,185,181,184,153,61,140,184,173,172,171,167,166,165,163,157,163,123,14,8,0,0,189,190,189,188,187,187,188,187,183,187,163,64,119,191,175,176,175,171,169,168,166,160,169,105,1,10,0,3,191,192,191,190,191,190,189,191,187,168,159,86,91,192,179,177,176,175,174,171,169,163,176,90,0,5,0,0,193,193,192,193,193,194,193,192,194,168,160,136,68,165,192,186,179,178,176,174,173,168,177,76,0,1,0,0,196,196,196,196,196,197,196,195,198,185,168,177,90,137,113,150,189,179,179,177,176,173,171,38,0,0,0,3,198,198,198,198,199,198,197,196,197,192,166,176,188,177,67,68,196,182,183,181,178,176,174,58,45,56,42,12,199,200,200,201,200,199,200,198,200,202,174,183,154,116,83,45,179,189,184,183,180,177,166,146,141,132,112,52,201,201,201,202,202,202,203,202,190,153,180,197,131,37,67,48,143,199,185,184,181,169,167,161,137,88,57,37,203,204,205,204,204,207,202,190,183,94,77,159,124,45,48,52,100,202,183,188,170,175,176,149,86,73,51,12,206,205,206,206,207,205,192,195,173,109,61,81,130,70,40,53,56,193,199,182,151,166,161,85,59,131,123,4,206,207,209,208,205,191,201,175,124,126,98,54,102,95,34,53,48,123,170,135,145,153,99,82,138,147,135,66,209,208,210,211,197,191,172,120,61,101,104,60,65,100,37,45,62,36,68,117,141,111,78,186,127,94,113,112,211,212,212,212,194,189,170,129,53,60,121,29,23,104,55,34,101,74,70,113,116,63,158,192,168,21,90,114,214,215,214,214,188,190,173,123,67,51,87,0,6,112,54,26,125,91,67,100,60,98,199,180,193,127,111,126,215,214,214,216,199,182,170,149,130,73,27,12,11,110,87,47,65,83,84,70,48,180,193,187,183,188,150,110,216,215,215,217,213,184,178,167,142,104,56,39,62,117,113,66,82,136,91,35,137,205,188,189,184,188,155,103,217,217,218,218,219,196,176,165,157,123,86,53,73,146,125,78,114,102,61,46,190,197,192,190,186,188,160,79,217,218,218,218,221,205,182,168,152,125,91,70,61,122,154,132,110,83,34,92,211,194,193,192,189,190,164,67,217,217,218,217,217,214,176,166,140,125,100,80,67,96,127,117,101,64,27,172,205,194,192,191,187,192,154,112,218,218,218,218,216,222,188,155,146,128,111,93,74,73,97,88,76,24,116,209,193,194,191,190,194,181,129,127,219,219,220,220,217,220,212,156,145,131,120,100,71,56,70,62,31,83,208,197,197,194,192,188,137,121,119,127
12,168,173,177,181,183,186,189,191,194,196,196,196,197,200,199,196,196,199,202,195,196,194,194,195,194,193,192,190,169,174,178,181,183,188,191,194,195,196,197,199,198,190,188,203,200,170,172,203,198,199,199,195,196,195,194,193,170,174,178,182,185,188,191,195,195,198,201,197,212,195,158,171,214,191,136,159,187,155,179,202,197,197,196,195,172,176,180,184,187,190,194,195,197,200,200,200,233,230,202,146,154,226,188,114,128,160,120,190,202,198,198,195,174,178,181,185,188,193,195,197,198,201,196,223,215,218,217,164,98,179,192,124,80,146,124,125,207,198,199,198,177,179,182,186,190,194,196,199,202,201,197,235,182,202,217,150,94,166,176,120,81,119,128,86,196,202,199,199,178,181,185,188,193,196,198,202,201,204,207,160,133,206,193,135,86,173,167,109,87,129,114,92,202,201,201,200,180,184,187,191,194,198,202,200,211,233,210,136,93,146,183,156,75,158,201,130,89,157,121,110,212,200,201,201,182,186,189,193,196,200,199,217,233,224,213,157,94,99,194,151,63,165,213,121,98,198,122,145,215,202,203,202,184,187,192,195,200,200,215,234,189,191,224,164,95,55,147,134,37,96,196,108,86,171,123,192,211,206,205,204,186,191,195,198,202,202,230,225,191,168,205,153,99,52,68,71,67,99,114,130,136,145,92,176,216,205,206,206,188,193,197,201,202,212,220,189,162,124,185,154,103,58,67,72,164,215,173,170,148,136,112,122,218,207,207,206,189,195,199,203,205,208,228,198,171,111,158,154,100,64,79,130,192,206,194,167,136,106,123,100,201,213,208,208,192,198,201,205,205,210,230,203,175,129,131,157,127,71,108,180,204,199,191,170,135,106,102,100,209,213,210,209,195,199,203,207,207,221,234,211,186,155,112,146,146,84,180,212,208,201,197,153,127,105,71,142,225,210,208,207,199,203,206,210,210,229,236,219,195,163,132,122,120,151,218,215,216,213,184,134,120,94,78,204,216,216,220,219,201,205,208,212,211,231,233,222,202,170,158,140,137,187,202,210,221,207,162,125,116,70,134,239,219,201,168,133,204,208,210,213,214,226,228,228,208,180,174,153,147,181,187,214,219,191,145,118,104,72,174,160,110,74,55,51,207,211,213,215,217,218,231,229,211,190,185,165,151,190,183,217,210,169,130,108,93,69,66,47,43,46,48,45,209,214,216,218,222,215,229,223,209,195,191,172,154,188,200,195,186,147,116,100,83,48,44,44,46,43,48,38,213,216,219,221,226,218,222,224,210,196,186,175,164,176,198,176,156,130,107,97,57,30,50,47,34,36,50,44,213,217,220,222,227,217,217,229,210,194,182,169,156,161,182,165,141,120,100,85,45,21,39,55,37,27,41,50,214,217,220,223,229,216,220,226,202,186,179,167,149,160,173,155,122,111,94,63,58,24,23,45,51,29,30,45,216,220,223,226,231,217,222,221,184,173,175,160,146,163,161,141,107,99,52,37,59,42,11,30,48,42,24,32,218,222,225,228,233,215,223,229,184,182,184,169,158,165,147,126,103,77,32,24,47,54,15,15,36,48,34,22,219,223,226,227,237,196,218,231,193,201,198,174,156,160,137,119,95,55,43,19,34,52,30,7,23,44,45,25,225,228,232,231,249,139,195,237,212,224,203,167,158,158,131,113,84,44,40,25,17,43,40,7,13,35,45,35,194,199,204,208,222,101,123,230,212,219,187,154,162,157,126,110,69,51,36,28,10,36,43,14,6,27,43,42
6,209,212,215,216,217,220,221,222,221,221,221,220,220,218,216,216,215,214,213,211,209,207,207,205,206,204,202,201,212,215,218,218,219,221,221,223,223,221,222,222,222,220,219,217,216,215,215,212,211,209,209,208,209,206,203,202,214,217,219,220,222,223,223,224,224,223,223,224,224,222,220,219,220,218,217,216,215,212,211,210,209,207,206,203,217,219,220,221,224,224,224,225,225,226,226,224,224,223,223,221,221,220,219,218,218,215,212,211,209,208,206,205,217,221,224,223,225,226,227,227,227,227,227,226,226,224,222,223,221,219,219,219,218,217,214,213,211,210,208,207,218,221,225,225,226,227,227,229,228,227,227,226,226,225,224,226,225,223,224,224,222,223,221,217,213,212,209,207,221,222,227,226,229,231,230,229,229,229,230,231,231,228,226,225,221,215,206,199,200,191,183,178,176,153,184,202,224,225,227,228,229,232,232,231,232,231,227,212,204,207,204,188,170,154,132,150,167,176,158,156,155,126,186,204,225,227,229,231,231,232,233,235,235,217,202,165,156,159,164,176,163,146,137,140,157,168,148,141,132,111,130,150,225,227,232,233,233,234,236,232,227,215,199,178,160,144,103,129,138,134,109,89,99,90,90,92,104,112,136,174,227,229,232,233,234,238,231,228,216,197,192,177,173,172,101,58,58,54,59,104,140,166,182,201,217,218,222,221,228,231,234,237,237,230,217,220,194,177,185,185,191,146,84,63,42,128,192,225,237,236,233,230,226,223,220,217,229,233,237,234,225,214,211,198,185,182,177,187,188,128,67,64,57,117,246,231,228,225,225,225,225,223,222,219,230,234,232,225,215,213,204,194,192,180,175,186,175,160,115,66,63,40,140,247,228,229,228,227,226,224,222,220,235,226,222,222,215,208,195,190,186,177,173,175,176,178,141,81,57,65,55,208,239,229,229,228,227,226,223,222,199,233,224,215,205,201,190,182,176,170,170,171,179,176,127,78,62,66,38,163,249,229,230,229,228,227,227,225,70,150,234,225,202,191,181,172,169,167,165,168,175,176,144,89,56,59,62,218,239,233,232,232,231,228,227,225,68,51,105,199,203,184,182,177,173,171,173,170,178,176,165,112,60,53,61,225,240,235,233,233,231,230,228,226,62,65,32,52,156,199,178,171,170,169,174,176,175,176,157,103,64,66,43,198,249,235,234,233,232,232,230,227,60,39,35,22,39,136,170,170,173,172,165,154,150,145,117,93,73,70,60,223,247,237,236,234,233,232,230,228,39,31,27,34,28,24,104,163,169,162,151,135,125,113,95,85,83,81,44,152,255,237,238,235,234,233,231,228,29,36,34,30,25,23,19,85,162,163,145,128,114,128,117,80,82,82,38,153,255,237,239,238,235,235,232,229,30,37,38,29,19,27,22,8,79,140,123,106,83,105,77,59,77,79,140,242,244,242,241,239,236,236,234,232,33,37,31,24,18,21,13,15,9,73,78,74,135,220,195,169,197,223,251,247,244,243,242,240,239,236,235,233,32,31,18,16,15,12,10,7,10,0,84,224,255,255,255,255,255,254,245,246,245,244,242,241,240,237,234,233,33,17,12,10,13,9,5,5,0,43,245,255,249,250,249,247,247,246,246,244,243,244,242,240,238,235,234,232,25,7,10,11,6,2,2,5,0,112,255,244,252,251,251,249,249,246,244,243,243,243,242,240,238,235,234,229,17,13,11,0,8,9,0,6,0,156,255,250,253,250,251,250,250,248,247,245,244,242,241,241,240,238,232,228
23,144,144,145,145,147,147,147,148,147,148,149,149,149,148,149,148,148,148,147,148,148,146,145,145,144,143,141,139,148,149,149,151,151,151,152,153,153,153,154,153,152,152,152,151,152,153,151,152,151,149,148,147,147,146,145,142,152,154,154,156,156,156,158,158,159,159,156,156,157,156,154,160,160,156,156,155,155,154,152,152,150,149,148,146,157,157,158,161,160,160,162,163,162,161,170,159,161,166,161,126,150,169,159,159,159,158,155,156,155,152,152,151,162,162,162,165,164,164,166,168,163,170,207,176,163,184,167,128,89,147,172,163,163,162,160,159,158,157,155,154,166,166,166,168,169,167,170,172,166,194,194,156,84,105,94,124,125,103,131,171,166,165,165,163,163,162,160,158,170,170,171,172,171,173,173,174,175,204,183,140,65,144,154,134,101,79,92,176,169,168,170,168,166,165,164,162,172,173,174,174,175,176,176,174,189,188,187,116,132,188,137,172,166,150,169,179,173,173,172,172,170,169,168,167,175,177,177,178,180,180,182,180,191,183,188,194,201,174,82,130,202,182,181,180,179,178,174,174,174,173,171,170,178,181,181,181,183,174,161,167,172,183,186,183,176,165,82,65,161,186,181,182,182,180,179,178,175,174,173,173,182,184,183,185,181,155,125,136,148,152,147,146,140,124,82,14,30,155,193,183,184,182,181,182,181,179,177,175,183,185,185,184,188,178,174,160,167,158,142,136,113,51,42,16,5,128,202,185,188,186,184,184,184,183,181,180,186,187,189,184,183,190,188,176,150,95,91,99,95,36,38,14,22,175,195,189,190,190,188,188,186,184,183,182,189,190,192,189,171,173,195,175,94,61,10,69,111,36,40,14,68,206,193,194,194,192,191,191,189,188,185,183,191,192,195,194,170,165,202,171,76,19,0,101,117,44,34,0,90,213,193,197,195,194,193,193,191,191,188,185,193,194,196,196,171,162,204,178,106,27,27,87,53,33,17,1,69,209,197,198,197,197,196,195,195,193,191,191,197,197,199,199,168,165,215,184,106,53,1,0,0,0,9,19,61,207,200,199,199,199,198,197,196,195,193,192,198,197,200,196,160,182,219,182,111,71,14,0,6,14,24,25,86,214,201,200,202,200,200,197,197,197,197,196,199,201,203,197,162,185,208,184,121,77,49,25,43,42,43,29,102,219,201,204,202,202,200,199,200,199,199,198,202,205,205,205,167,173,188,165,108,78,65,35,50,50,48,30,131,221,203,206,205,203,203,201,201,200,198,198,205,206,208,208,172,163,168,147,116,109,73,40,50,50,49,39,180,218,207,207,208,207,206,205,203,201,200,199,206,206,208,211,179,168,167,146,123,110,69,45,51,59,38,84,221,211,211,208,209,209,208,207,205,204,202,199,206,208,209,212,186,184,166,143,112,86,60,50,54,55,47,184,222,212,212,211,210,209,208,207,207,205,204,202,208,208,210,208,192,200,173,150,126,87,56,46,48,49,171,226,215,214,214,215,213,211,210,208,208,207,206,205,208,208,213,206,193,200,171,155,134,79,45,45,31,140,235,215,218,216,216,216,215,214,213,210,210,208,207,206,209,211,216,208,191,175,156,140,109,52,37,39,51,209,220,219,219,217,217,216,215,215,214,213,213,209,208,207,211,213,215,204,192,158,141,136,124,48,42,36,92,228,218,221,219,217,219,219,217,217,216,215,213,212,210,209,211,213,213,201,204,162,138,154,156,57,48,36,112,237,219,221,220,220,220,219,218,218,217,215,214,215,210,200
0,198,199,199,198,199,200,199,200,200,200,201,203,200,200,200,198,200,200,200,202,201,200,200,202,199,198,199,199,199,199,199,198,200,202,202,204,202,201,198,200,200,201,201,200,201,199,201,203,200,201,202,202,202,200,199,199,200,200,200,201,202,204,204,202,203,204,201,203,204,204,203,204,204,202,202,203,203,202,203,201,203,199,199,199,202,202,202,203,204,205,202,201,197,178,194,206,195,201,206,200,199,206,209,205,208,204,201,203,204,201,200,199,203,204,204,204,205,205,201,209,205,141,97,153,170,148,162,190,176,150,181,197,191,203,207,204,203,204,202,202,202,205,204,206,205,205,206,202,204,144,54,93,181,126,75,149,176,103,75,141,129,113,149,201,205,201,204,203,204,205,205,205,204,202,200,168,187,158,93,76,159,116,61,119,150,91,53,123,125,72,62,129,204,204,203,204,205,206,206,206,204,198,191,158,146,179,135,60,115,118,51,110,137,78,55,135,121,70,69,110,136,216,203,204,205,207,206,207,206,200,190,165,124,133,130,52,100,115,38,96,154,92,49,142,142,75,77,146,94,157,216,204,205,207,207,208,208,200,188,164,126,98,90,59,104,98,25,105,154,76,58,159,153,126,111,121,105,79,206,207,207,208,207,208,207,199,191,181,155,107,83,75,88,75,41,92,122,88,149,167,151,139,113,89,77,70,199,208,208,208,210,210,208,201,197,188,175,146,94,74,68,80,97,95,125,169,181,170,158,129,109,95,67,85,211,208,209,210,211,211,210,203,203,192,183,173,134,80,76,87,96,125,175,185,184,177,160,125,100,90,59,110,223,206,209,210,211,211,210,199,209,200,193,188,163,117,109,100,106,155,183,188,195,183,154,121,96,86,54,157,222,207,210,210,210,211,212,188,207,209,201,197,179,151,141,127,116,157,171,189,200,184,147,116,95,74,78,203,213,208,211,211,211,210,215,190,193,213,212,206,187,170,160,148,134,146,177,196,192,176,137,104,99,64,136,221,209,211,210,212,212,211,215,199,177,210,217,211,196,182,169,160,150,142,163,189,186,166,129,98,94,62,186,219,209,212,211,212,212,211,210,215,167,195,215,215,204,189,179,171,154,142,148,170,170,145,114,96,75,85,215,212,211,211,212,212,214,213,211,220,182,172,212,217,206,183,179,167,153,144,144,157,157,122,99,91,53,143,225,208,212,213,213,213,213,215,216,214,210,162,207,215,194,173,178,163,155,146,130,136,143,112,96,68,87,211,214,211,212,214,214,214,213,215,215,213,214,178,209,214,197,183,191,174,159,143,119,120,126,110,84,63,181,220,213,215,215,215,214,214,214,215,214,214,215,185,210,218,207,190,202,181,157,143,119,111,116,109,63,127,223,211,216,218,216,215,214,214,214,215,214,214,217,176,202,218,213,195,199,177,154,139,122,109,111,105,56,176,221,212,215,218,215,215,214,214,214,214,214,216,219,176,199,219,214,197,188,173,152,137,125,108,104,94,67,199,215,214,215,217,215,215,213,214,213,213,215,215,213,191,205,216,212,199,186,172,155,137,125,110,97,84,80,218,216,215,215,215,215,216,212,214,214,214,215,217,205,197,214,203,206,195,182,169,155,136,123,109,93,80,94,222,212,215,215,215,215,215,213,213,215,216,215,216,202,195,205,202,205,186,173,166,153,135,118,102,90,71,118,219,209,216,215,215,215,215,213,214,215,215,213,217,200,190,202,205,204,185,165,157,150,134,113,91,85,62,150,216,210,216,215,216,215,215
3,191,194,199,201,202,204,204,206,208,208,208,208,203,227,207,189,209,205,204,203,201,199,197,195,194,193,190,186,195,198,202,204,206,208,209,210,212,212,212,212,204,241,241,156,208,211,207,205,205,204,200,200,197,195,191,189,198,201,204,207,210,211,212,213,215,215,216,215,211,230,255,154,187,218,210,209,208,207,204,203,200,198,194,192,201,203,207,210,211,214,215,215,217,217,217,219,218,219,255,196,171,222,214,213,212,210,208,205,203,201,197,195,202,206,209,212,215,217,218,219,219,219,219,221,224,213,255,230,154,219,217,215,213,212,210,209,206,204,201,200,206,209,212,216,217,218,221,222,222,223,221,222,219,243,255,236,169,210,225,219,217,214,211,211,209,207,205,202,208,211,215,217,218,220,223,225,225,222,237,255,244,255,255,255,229,187,222,222,220,217,217,215,213,210,208,206,209,213,217,220,221,223,224,226,230,220,255,255,255,255,216,243,247,157,221,222,207,223,218,217,215,213,212,210,211,215,220,224,225,227,227,228,227,242,255,255,240,255,216,158,243,199,230,193,190,231,221,221,217,216,215,212,215,218,222,226,228,229,230,232,229,255,255,255,221,194,230,183,204,246,227,167,155,234,224,224,222,220,217,216,218,221,226,228,231,232,234,233,239,255,236,202,251,231,195,222,160,160,214,189,139,200,235,225,224,222,220,218,220,223,228,231,233,234,235,233,248,255,206,115,147,184,141,154,138,100,189,223,173,166,236,228,226,224,223,221,222,226,230,233,233,235,238,235,255,255,187,153,137,132,133,131,127,103,170,237,179,178,237,231,228,227,225,224,224,228,232,234,235,239,241,235,255,255,227,197,154,140,140,147,124,113,214,245,177,194,239,231,230,230,228,226,226,230,233,236,238,240,242,238,255,255,238,181,146,143,153,150,156,186,248,251,180,209,240,233,234,233,230,228,228,231,233,238,241,242,245,242,255,255,219,163,143,149,163,166,220,255,255,245,171,220,242,236,235,234,232,229,229,233,238,239,241,243,245,242,255,255,221,170,153,156,169,196,255,255,255,223,164,227,245,240,237,235,234,232,230,234,239,240,242,246,249,245,255,255,234,182,162,164,173,228,255,255,246,189,173,240,243,240,238,238,234,233,232,236,240,243,245,247,250,245,255,255,241,193,168,172,191,255,255,255,237,173,181,250,243,242,248,245,242,232,232,238,241,243,245,247,248,246,255,255,255,206,175,178,203,255,255,251,224,166,195,254,245,247,204,170,165,146,233,237,240,243,246,248,249,250,255,255,255,218,187,188,209,255,255,238,209,161,214,252,255,209,136,138,130,126,233,238,243,247,248,249,250,253,255,255,255,231,203,205,205,250,248,214,188,161,235,255,246,163,132,129,124,119,235,239,243,247,249,250,251,254,255,255,255,242,213,213,188,213,217,182,161,176,255,244,170,125,110,93,77,58,236,240,242,246,249,251,252,255,226,243,255,250,217,198,167,174,179,164,141,207,199,145,127,116,97,80,80,68,241,244,247,252,254,254,255,231,85,193,255,247,201,168,143,147,151,150,103,77,102,129,127,126,105,74,68,72,217,223,228,231,235,237,245,140,23,162,255,222,169,135,121,135,135,118,55,18,67,112,111,118,127,90,61,69,143,144,148,149,148,146,158,133,58,100,207,214,161,115,129,141,116,76,26,43,97,91,92,97,123,113,71,59,142,139,147,146,142,144,150,158,126,107,138,194,154,123,144,129,98,68,47,71,101,73,69,84,107,121,91,60
21,166,171,176,176,179,182,186,188,190,193,193,195,196,197,199,199,198,202,200,199,199,197,197,196,195,195,194,194,167,172,176,178,180,183,186,189,191,193,194,195,197,199,200,201,202,179,195,201,199,199,199,198,198,196,195,194,167,173,177,178,181,185,188,190,193,196,196,197,199,201,200,206,215,139,161,207,198,200,200,199,197,196,197,197,167,174,177,178,181,186,189,191,193,196,197,198,200,202,201,210,213,141,162,210,202,201,201,200,199,199,198,198,169,175,178,178,183,187,190,193,193,195,197,199,201,202,201,213,208,146,163,211,202,203,203,191,161,192,201,198,170,175,178,180,185,188,190,194,194,196,199,201,201,202,202,217,208,147,165,213,204,205,202,179,132,182,206,199,170,176,179,181,184,188,191,195,196,199,201,202,203,205,203,217,208,153,166,213,205,204,199,172,137,198,203,202,170,176,180,181,184,188,192,195,198,200,202,203,204,207,204,217,206,155,161,214,205,204,195,162,148,208,202,203,171,177,181,182,186,189,193,196,199,201,202,204,206,207,204,219,206,158,152,215,206,203,194,151,171,211,203,204,172,177,180,182,188,191,195,198,200,202,203,205,206,208,204,227,213,155,156,216,204,198,186,140,191,209,205,204,172,179,182,184,188,192,194,197,200,202,203,205,206,208,207,229,205,149,165,217,199,198,168,143,207,207,205,205,173,180,184,184,189,193,194,198,200,202,203,206,208,200,208,222,185,139,165,216,201,200,147,165,215,206,207,207,173,180,184,184,189,193,195,199,201,204,204,214,196,166,173,192,156,128,166,213,207,188,136,193,214,208,208,208,174,181,184,185,189,193,196,200,203,205,206,213,194,161,149,132,130,134,174,201,199,163,143,213,211,209,209,209,174,181,184,185,191,194,197,201,203,204,210,211,204,197,180,149,117,141,167,179,177,138,168,220,210,212,211,210,174,182,184,186,192,194,198,202,205,204,217,228,216,234,205,167,125,125,140,151,154,130,194,218,212,213,212,211,176,184,185,186,192,196,199,202,204,208,210,202,214,221,194,150,130,123,129,138,138,138,213,215,213,213,213,212,177,182,185,186,191,195,200,203,204,216,202,172,209,179,185,162,139,130,122,129,126,151,220,215,214,214,213,213,176,182,184,187,192,196,200,204,204,216,221,191,166,130,177,184,151,132,128,124,121,154,222,216,215,214,213,213,176,183,185,187,193,197,200,204,204,218,209,169,151,138,155,195,165,144,132,129,120,147,223,217,217,216,214,214,177,183,184,188,193,197,201,205,204,225,207,183,187,161,183,218,174,165,142,130,124,150,222,218,217,217,215,215,178,183,184,188,193,197,201,205,206,231,212,201,181,173,237,224,179,171,148,134,127,155,224,218,218,218,217,215,178,183,185,189,194,198,202,206,207,228,228,205,172,207,241,208,174,163,152,139,130,160,224,219,220,219,219,217,178,182,185,188,192,197,202,205,206,230,233,194,183,212,232,201,180,157,152,143,130,174,226,218,219,219,218,217,177,181,184,187,191,197,201,203,203,226,214,189,193,205,231,202,191,166,141,141,129,184,225,218,219,218,217,216,177,182,183,186,192,197,201,203,204,219,201,205,200,196,231,200,182,168,144,141,133,191,225,218,219,218,217,217,177,182,183,186,192,198,202,205,207,212,206,227,199,202,222,191,168,154,144,139,135,201,225,219,219,218,219,218,176,182,183,187,192,197,202,205,207,209,213,218,191,186,209,182,157,144,140,135,135,208,223,219,220,219,218,218
12,193,194,194,193,193,195,195,194,194,191,190,190,190,189,188,188,187,187,186,184,183,181,180,180,180,179,177,176,196,197,195,195,195,196,196,196,195,194,193,193,192,191,190,190,189,188,188,187,187,185,182,182,182,181,180,178,199,199,198,198,198,199,199,199,198,197,196,196,193,194,193,191,193,191,190,189,188,187,187,185,183,183,182,181,201,201,200,201,201,202,201,201,202,200,198,198,197,197,196,198,194,193,194,197,193,188,189,187,186,184,183,182,203,203,202,203,203,203,203,203,203,203,201,202,199,187,159,169,200,195,184,172,182,196,190,188,188,188,186,185,207,205,203,204,206,206,205,205,205,203,203,203,203,189,164,118,173,196,172,145,116,176,199,192,192,190,189,188,209,208,206,207,209,209,208,205,206,206,205,203,212,206,180,146,116,164,190,158,112,123,201,180,192,194,190,189,210,209,208,209,209,209,209,208,209,209,205,210,215,217,192,167,115,114,199,166,131,99,129,145,132,182,196,191,210,210,211,210,211,211,212,212,210,211,212,211,196,208,200,164,137,96,181,172,144,92,87,139,109,122,203,193,212,212,213,211,211,211,212,213,212,200,192,204,194,199,194,160,125,81,167,171,144,91,81,130,106,81,192,198,213,213,213,212,212,213,214,211,210,185,147,159,187,181,188,147,109,86,180,164,135,85,79,123,101,75,189,200,215,214,214,214,216,217,214,205,211,191,173,151,149,140,191,157,119,99,188,153,128,82,92,132,102,92,206,198,216,215,217,216,218,218,215,211,211,206,192,180,129,105,192,189,135,108,188,156,121,85,126,145,93,130,213,199,218,219,219,217,219,217,218,203,181,202,203,185,154,117,187,188,132,113,202,179,122,114,153,134,84,171,210,201,220,220,220,219,220,216,220,205,154,162,202,189,162,109,135,164,110,134,214,173,116,143,178,136,92,195,207,203,221,221,222,221,221,218,225,223,187,114,143,184,139,97,76,93,69,97,178,154,107,172,191,130,137,211,204,205,222,222,224,224,222,222,214,197,166,123,96,165,122,98,83,85,73,94,129,101,106,217,186,115,139,220,205,207,223,223,224,226,223,217,220,208,188,157,104,134,136,116,104,102,102,160,186,164,161,171,143,90,92,218,208,208,225,224,224,224,224,215,226,220,196,153,116,118,145,139,109,109,171,194,197,178,185,160,98,75,98,216,209,209,226,226,225,225,225,214,225,227,202,164,145,126,136,146,128,175,221,212,208,174,170,163,117,75,139,224,208,210,226,225,225,226,226,215,223,227,205,179,153,140,137,161,202,221,228,221,206,171,159,148,109,76,188,219,210,209,227,227,227,228,228,217,217,222,205,183,155,146,143,177,226,224,224,213,192,163,147,132,97,92,218,215,213,210,229,230,230,229,230,218,211,214,206,184,155,154,147,190,229,221,218,202,177,158,138,122,79,136,228,213,215,214,230,231,231,229,233,219,209,215,205,182,158,158,152,204,223,222,210,186,168,154,130,105,84,204,222,216,215,215,231,232,231,230,233,223,208,211,209,192,168,155,153,209,216,217,202,177,159,143,124,80,127,231,217,218,217,216,232,232,231,231,233,229,210,210,210,201,175,152,150,202,209,205,188,167,147,127,109,72,190,227,219,219,219,217,233,233,231,232,234,232,211,211,208,195,169,153,148,186,198,188,172,148,130,113,78,113,230,220,223,221,219,219,233,232,232,233,234,231,212,209,204,188,164,153,151,175,187,177,159,137,115,97,74,196,229,221,223,221,220,220
13,127,135,141,143,147,151,157,161,165,167,168,171,174,177,178,180,183,183,184,185,185,187,187,186,186,186,187,188,127,136,143,145,149,154,159,162,165,167,169,172,175,177,180,182,184,184,185,186,187,187,187,188,188,187,188,189,130,139,145,147,151,156,162,165,167,170,171,174,177,179,182,184,185,183,184,185,188,192,190,190,189,190,190,190,132,142,147,148,152,157,162,166,169,171,173,176,178,180,183,184,186,196,203,189,150,169,191,190,195,190,192,192,133,142,148,150,153,159,163,167,171,173,176,178,180,183,184,189,187,205,219,189,138,105,132,149,174,197,191,193,135,143,147,151,155,160,164,169,172,174,176,180,183,182,193,176,151,155,190,193,138,96,120,146,103,177,198,193,137,145,149,151,157,161,166,170,172,176,178,181,182,192,222,190,161,124,155,198,172,102,131,148,94,163,202,193,138,146,150,152,157,162,167,172,173,178,178,188,177,146,197,220,187,141,94,181,187,106,128,158,98,176,202,195,139,147,152,154,158,163,169,172,175,175,185,214,183,131,118,216,206,164,93,108,165,102,140,175,112,190,199,197,141,148,153,155,159,165,170,174,175,182,210,209,200,164,96,163,214,155,107,58,97,78,138,157,133,206,196,198,142,150,154,156,161,168,171,174,175,206,185,178,210,179,110,112,201,143,102,58,78,109,139,132,107,192,203,199,144,153,155,157,164,170,173,172,194,217,183,158,192,164,114,93,181,148,102,63,114,154,149,132,113,143,210,199,145,153,157,160,166,171,174,175,205,199,170,147,179,139,103,74,171,174,105,101,180,174,146,111,118,111,191,205,147,154,158,161,168,174,176,183,215,193,169,130,160,130,99,51,149,173,101,165,199,170,144,118,113,98,180,209,150,157,159,162,170,177,179,186,222,202,181,139,127,134,85,63,141,179,163,199,183,158,137,116,98,108,205,205,152,159,160,164,174,180,181,192,226,208,186,152,112,112,113,156,198,208,210,193,171,145,128,112,85,154,214,203,155,161,162,167,175,182,183,197,231,217,189,156,152,155,162,185,204,202,201,185,159,140,121,101,90,197,208,205,157,163,165,170,178,184,183,201,225,220,198,169,174,160,163,194,196,205,193,174,153,135,116,88,110,214,206,207,160,166,167,174,182,187,188,201,216,222,208,184,180,162,171,205,194,197,181,159,140,124,110,74,164,219,208,209,162,167,170,177,184,190,193,194,212,221,211,193,181,164,173,198,199,178,165,146,133,122,89,125,218,211,211,211,165,170,172,179,186,191,196,194,207,214,209,199,185,174,171,186,194,172,154,137,127,107,108,212,215,213,213,212,167,172,174,181,188,193,196,199,198,215,211,204,199,189,172,179,186,167,140,127,118,97,191,222,214,216,215,213,169,173,176,182,190,195,198,202,191,215,210,204,201,188,169,173,173,157,124,121,99,152,227,215,217,218,215,217,170,176,178,185,193,198,201,205,195,212,194,180,189,181,166,166,163,146,126,110,108,213,220,219,219,216,222,212,171,176,179,187,194,200,202,206,198,213,196,182,196,193,179,159,157,142,134,97,142,224,219,220,220,231,208,114,173,176,179,188,194,199,202,206,196,215,207,191,208,195,182,156,152,141,136,91,162,226,220,224,221,178,104,73,173,177,180,189,195,200,203,207,200,211,218,208,219,198,184,161,152,141,134,89,172,228,221,221,136,74,61,65,174,178,181,190,196,200,204,210,198,198,222,213,216,196,180,165,153,143,132,87,167,230,230,167,83,82,72,48
10,134,140,143,148,151,156,158,161,164,167,167,169,170,170,172,171,172,173,173,172,173,173,172,172,174,173,173,173,138,142,146,151,155,159,162,165,168,171,172,174,174,174,175,175,176,176,176,176,176,176,176,175,177,176,175,174,142,146,150,154,158,162,166,169,172,174,176,177,177,178,180,179,179,182,181,180,180,180,179,178,179,180,179,177,143,149,154,158,162,166,170,174,176,178,180,181,182,182,183,182,185,173,176,186,184,184,182,183,183,183,183,182,147,153,158,161,166,169,173,177,181,183,183,184,185,185,186,182,197,170,122,192,185,186,185,186,186,187,187,185,151,155,160,165,168,172,176,180,184,185,185,186,188,189,189,187,195,202,120,157,196,188,190,191,191,190,190,188,152,158,163,167,170,175,179,183,186,187,189,189,190,192,192,195,192,209,165,122,197,193,193,193,193,193,192,192,154,160,166,169,174,178,182,185,188,190,191,193,193,193,193,184,190,214,215,132,172,201,193,195,195,195,194,194,158,163,168,172,176,181,185,188,190,191,193,195,196,195,207,153,113,212,234,166,129,207,197,200,199,199,199,197,159,164,169,174,178,185,187,189,192,194,196,197,199,196,211,191,103,138,239,196,109,188,205,201,202,202,201,201,161,166,172,177,182,185,188,191,194,196,199,200,201,200,204,237,195,134,173,214,116,161,211,201,203,204,204,203,162,168,173,179,183,186,191,193,194,198,201,202,200,212,199,196,243,162,83,187,137,131,218,202,206,207,206,205,164,169,175,180,185,188,191,194,197,200,200,202,205,216,189,107,173,185,101,94,114,105,220,205,209,209,208,207,165,169,175,180,185,189,192,197,200,202,203,202,232,211,161,71,60,184,144,65,59,68,193,215,209,209,209,209,165,171,177,181,186,191,194,198,201,203,204,201,235,202,104,28,15,136,162,108,54,48,138,224,209,211,210,211,167,173,177,183,187,193,196,200,203,201,215,216,194,231,190,82,10,123,173,157,93,52,105,223,212,213,211,210,168,174,178,184,189,193,198,201,204,202,221,241,210,189,236,164,66,172,200,179,113,50,87,219,215,216,215,212,170,175,180,184,188,194,199,201,203,206,203,209,239,172,173,227,137,178,205,169,122,53,79,221,217,218,217,215,169,173,179,183,188,192,196,200,202,204,205,174,193,162,109,182,128,185,217,165,117,64,76,219,218,218,217,216,169,175,180,184,188,191,195,201,202,201,216,218,178,160,120,127,230,237,213,168,104,63,83,218,217,217,214,215,169,174,178,184,190,193,196,200,202,201,214,237,201,160,148,195,253,230,205,150,95,66,91,223,217,217,215,215,170,174,178,184,190,193,196,200,202,205,204,231,213,199,184,213,243,212,184,136,90,80,82,219,218,217,216,216,170,175,180,185,188,192,196,200,202,205,205,221,220,215,207,198,238,197,171,135,117,105,81,215,218,216,218,218,166,172,178,186,192,196,201,205,208,210,214,218,225,224,220,178,214,192,179,152,144,109,93,223,221,220,220,220,89,93,99,106,112,116,121,129,133,137,137,159,229,226,213,182,181,185,195,171,136,89,101,208,206,210,212,215,79,81,82,82,79,77,76,79,80,80,83,81,190,212,191,181,169,177,210,177,123,84,78,94,98,102,106,109,87,87,89,89,89,94,95,94,93,93,97,82,133,205,177,180,179,181,197,171,118,79,88,94,91,92,91,90,83,83,86,86,86,88,89,94,92,90,90,88,101,196,192,181,189,180,177,176,118,78,97,105,101,106,105,107
13,161,162,170,176,181,184,188,191,194,196,198,199,201,203,203,204,204,204,204,205,204,204,204,203,203,201,199,200,162,164,170,177,182,185,189,192,194,196,198,200,202,204,204,205,205,204,204,206,207,206,205,205,204,203,200,200,163,165,171,178,183,187,189,193,196,198,201,202,204,205,206,205,207,206,207,209,209,208,207,206,206,204,202,202,163,166,173,179,183,187,191,195,197,200,203,201,203,202,205,210,208,208,208,209,209,208,208,207,206,205,205,204,163,166,173,181,185,189,193,196,198,201,202,204,242,220,165,192,213,207,211,213,210,210,209,208,208,207,205,205,164,167,174,181,187,190,193,196,199,199,200,215,255,253,185,158,219,214,186,188,214,210,211,211,211,208,206,206,165,169,174,181,187,192,195,197,195,211,207,200,255,255,211,156,176,197,164,116,194,217,211,212,211,209,209,207,165,169,175,180,187,193,195,192,217,255,207,171,217,225,194,122,156,153,127,101,155,222,210,212,211,211,211,209,166,169,177,182,188,189,211,194,223,255,221,167,190,212,175,119,168,135,104,97,149,224,211,214,213,212,212,210,167,171,179,184,186,201,255,202,162,243,243,185,150,219,218,202,188,156,100,79,155,225,214,214,213,212,212,211,168,172,180,187,180,234,255,219,164,193,250,198,121,132,212,218,200,201,165,85,172,225,215,215,214,214,212,212,169,172,179,185,187,238,246,234,183,146,236,203,148,60,119,163,195,217,219,147,179,227,215,217,217,215,214,212,166,171,177,181,191,243,226,231,193,131,196,223,160,76,72,97,181,243,243,213,143,204,220,215,214,213,213,212,166,170,177,178,207,255,224,222,209,140,134,229,165,82,77,174,218,217,221,212,147,151,226,215,216,214,213,213,167,171,180,176,246,255,212,194,207,160,94,198,193,138,194,241,224,217,192,170,172,126,208,220,217,216,215,214,168,173,181,176,252,255,225,179,174,202,126,162,239,250,244,223,212,206,177,149,155,128,202,221,216,217,216,214,166,172,180,177,255,255,237,221,195,200,221,240,255,255,229,211,209,182,159,138,122,160,223,217,217,218,216,214,163,171,177,179,255,255,247,235,220,202,229,254,254,248,219,195,186,166,153,119,128,211,220,216,215,216,215,213,168,174,181,179,252,255,254,234,218,204,222,249,248,230,202,176,164,163,136,118,198,228,223,223,220,219,218,218,148,149,156,144,223,255,255,241,221,210,225,246,229,197,182,171,168,149,117,125,162,158,158,156,154,154,153,154,116,116,122,105,167,255,253,243,225,218,222,239,217,182,166,173,162,130,117,113,109,106,106,105,104,104,103,102,125,127,128,122,138,255,246,242,227,212,213,236,219,173,152,156,136,118,119,120,121,118,116,116,115,114,113,113,124,125,128,128,124,238,239,242,234,214,208,232,214,156,140,136,120,117,120,117,118,119,118,116,115,115,114,113,128,128,128,130,117,221,241,247,243,222,201,224,212,153,137,125,117,121,120,118,117,117,118,117,116,116,115,113,129,131,130,133,114,207,250,255,252,233,197,214,215,160,132,117,117,123,120,118,117,117,118,115,115,116,113,113,127,130,130,134,119,180,255,255,253,231,197,206,217,161,127,112,117,124,121,119,118,119,117,115,117,116,114,106,128,130,128,129,125,146,252,247,227,212,196,198,208,162,127,109,119,123,120,119,119,122,117,114,117,117,106,182,128,129,130,130,130,128,241,243,207,205,208,190,197,167,128,108,117,123,121,120,119,123,117,115,117,107,155,251
7,184,185,185,186,186,186,186,186,185,185,185,184,183,183,183,182,181,180,179,178,177,178,167,105,94,85,87,107,187,187,187,188,188,188,187,188,188,187,187,186,185,185,185,184,184,181,180,180,180,178,184,124,86,73,82,96,188,189,189,190,191,190,189,190,190,190,189,188,187,187,186,185,185,183,183,182,181,180,186,146,71,64,80,86,190,191,193,192,193,193,192,191,191,191,191,190,190,189,187,187,187,185,185,184,183,182,182,176,78,53,70,81,191,193,194,193,194,194,193,193,193,193,192,193,192,193,191,189,189,188,187,185,186,183,182,186,144,93,74,92,192,193,194,195,196,194,195,196,196,195,194,193,193,182,180,186,183,177,171,176,166,182,181,181,146,148,160,148,194,196,197,198,198,197,198,197,195,196,195,196,196,177,165,185,191,177,165,168,154,192,178,166,110,167,185,173,197,198,199,200,199,199,200,200,200,205,211,210,199,179,174,179,167,167,152,151,145,143,143,173,133,179,142,160,198,199,200,201,201,197,195,205,214,217,215,206,197,188,188,180,144,143,168,156,151,141,138,141,131,154,129,187,199,202,203,202,217,208,198,200,207,206,202,199,198,197,191,174,157,150,167,164,158,159,145,123,125,157,140,188,200,203,201,214,230,216,204,197,202,204,202,202,200,196,193,172,159,151,143,134,132,130,120,114,107,119,143,178,201,203,203,229,230,216,190,182,192,203,203,200,191,179,167,149,138,130,123,129,134,141,140,146,157,164,184,191,205,203,212,236,226,208,178,180,190,181,175,167,156,148,137,124,120,181,201,193,197,199,197,198,195,195,181,131,207,203,227,233,222,203,193,189,177,168,172,175,170,165,160,167,146,114,184,203,198,196,195,193,191,190,192,137,203,211,238,230,227,224,222,197,176,182,182,181,171,162,159,155,141,87,76,190,202,197,196,195,193,191,193,179,200,226,237,233,232,232,229,192,161,173,172,167,159,154,147,138,122,96,60,163,208,198,198,196,195,193,191,192,215,238,236,233,231,227,216,184,167,155,134,120,129,143,153,159,161,104,88,190,202,199,200,198,197,195,193,191,235,238,237,234,229,220,208,191,174,158,140,139,169,186,173,162,174,126,183,207,200,201,201,199,197,196,193,191,236,237,237,233,223,216,200,180,178,180,160,169,180,169,159,151,146,115,198,207,203,203,201,200,197,196,196,193,237,236,234,230,218,199,177,183,199,189,167,167,163,156,150,143,118,107,206,207,205,203,201,201,200,198,196,194,238,235,232,225,207,193,197,212,209,192,172,148,135,122,110,98,99,169,212,205,207,205,203,202,200,199,197,194,235,229,223,214,207,208,211,206,198,176,150,121,120,133,106,148,192,212,208,208,207,206,204,202,200,199,197,196,228,221,215,213,213,213,199,189,186,168,141,121,189,217,208,217,214,210,210,208,207,207,205,204,201,200,198,198,217,215,217,211,207,205,192,188,179,146,115,190,222,213,215,211,211,211,211,209,207,207,206,205,203,201,199,197,210,206,211,205,196,192,187,174,145,109,178,224,213,215,213,213,212,212,212,210,210,208,207,205,203,200,200,192,209,204,199,190,181,178,168,143,105,167,224,213,214,214,214,212,212,212,210,208,207,207,207,205,203,205,201,182,205,197,185,170,163,154,130,107,169,223,217,216,215,215,213,213,211,211,210,208,208,207,206,203,205,185,179,193,186,174,158,143,133,119,103,171,226,215,217,217,217,215,213,213,212,211,210,209,209,207,206,205,197,102,84,143
2,164,164,164,165,166,166,166,165,165,165,165,165,165,165,165,164,164,164,164,162,162,159,160,161,157,72,39,59,167,168,169,167,167,168,167,168,168,169,169,170,168,167,168,167,164,169,166,168,162,163,164,168,146,55,53,64,172,173,173,171,171,173,173,172,172,174,174,173,169,175,182,149,96,136,152,137,173,168,166,168,160,77,62,59,175,175,176,174,174,175,175,175,177,175,173,176,184,181,141,100,70,77,102,75,122,163,169,167,172,106,61,66,178,177,178,177,177,178,177,179,178,179,191,200,163,108,81,69,63,64,73,63,56,132,179,167,178,123,58,55,181,181,181,180,181,181,182,182,178,190,204,180,103,60,64,61,55,49,60,63,52,130,181,171,177,147,63,38,183,184,184,183,183,183,185,185,180,208,182,109,70,51,54,59,52,47,51,58,95,172,177,173,174,174,70,23,187,186,187,187,187,186,187,184,192,218,140,71,62,54,48,53,58,70,116,150,181,181,179,176,176,177,110,93,188,188,189,190,189,189,189,183,208,202,123,78,62,71,59,60,72,148,193,186,183,182,181,179,179,181,146,130,188,190,193,192,192,192,190,194,215,173,103,63,60,66,59,84,166,191,183,185,186,185,183,182,180,191,108,141,192,193,193,193,194,194,188,207,210,157,102,67,62,58,64,124,206,187,189,188,187,187,187,186,183,189,124,173,194,196,197,196,195,195,194,222,201,148,103,85,74,62,61,146,201,193,193,190,190,188,188,187,185,185,170,153,195,196,198,199,198,194,206,232,187,134,95,82,79,76,69,184,199,194,194,194,194,192,192,189,187,187,190,161,197,197,198,200,200,193,218,226,176,122,85,77,72,76,93,200,198,197,195,195,194,195,194,192,190,191,187,182,198,200,199,199,197,194,231,212,168,121,86,73,71,73,101,204,197,197,195,195,195,194,193,194,193,193,189,183,199,200,200,202,194,211,230,198,156,111,86,76,79,67,121,213,198,198,198,197,197,195,197,197,196,198,197,190,201,202,202,203,197,229,221,185,144,104,84,74,72,60,108,212,199,201,200,200,202,202,195,185,177,169,179,198,203,203,206,197,200,234,213,177,136,98,80,69,65,77,68,142,216,201,206,204,187,173,163,159,154,143,114,146,204,204,208,193,215,229,205,166,125,97,77,57,68,80,82,76,175,203,187,165,157,158,169,163,140,121,107,130,206,208,203,199,229,223,195,150,115,95,70,53,77,81,88,96,96,122,137,157,173,164,142,107,117,167,191,198,208,211,196,215,229,215,185,143,111,91,61,64,92,97,108,110,109,117,142,163,150,117,89,123,199,205,202,201,211,205,201,231,226,208,171,136,107,90,63,76,103,111,117,113,114,120,132,115,105,129,166,204,204,200,200,199,207,200,226,227,217,198,165,129,97,87,70,89,109,118,120,114,105,97,90,123,182,210,212,206,205,203,202,201,195,213,229,221,212,195,158,119,92,86,78,103,115,118,112,100,84,91,155,212,212,208,207,207,207,205,205,205,206,219,220,213,198,170,132,103,92,83,86,106,110,113,96,82,136,194,217,209,209,211,210,208,208,206,207,207,214,216,211,192,169,142,115,95,90,83,92,99,104,97,79,153,221,216,210,211,211,212,212,212,210,209,208,207,211,210,194,169,150,132,107,93,88,91,91,91,88,99,171,221,213,214,214,213,214,213,213,213,211,210,207,207,209,200,179,145,134,111,90,92,93,92,90,84,136,206,222,214,216,216,216,216,215,214,214,213,212,212,210,209
20,177,182,187,193,197,198,200,204,205,208,210,211,212,211,212,213,213,213,213,213,211,211,211,211,211,209,207,205,180,185,190,195,198,200,204,206,208,211,212,213,214,214,215,214,214,218,216,216,214,213,213,213,213,211,210,207,182,187,192,197,201,203,207,208,211,214,214,215,218,220,214,242,209,192,221,221,219,217,218,218,215,214,213,211,186,189,195,200,203,206,209,211,213,215,218,220,220,222,212,255,202,166,209,188,227,220,221,221,219,218,215,213,188,192,197,202,205,209,213,214,215,217,220,221,223,226,217,255,201,196,232,146,226,223,222,222,222,221,219,217,191,195,199,204,208,211,215,217,218,220,224,223,223,227,220,255,220,199,255,148,218,228,225,225,225,223,221,220,192,197,201,206,210,213,217,220,222,224,225,224,228,229,224,255,221,202,255,164,211,232,229,229,228,226,224,223,194,199,203,208,212,215,220,222,223,225,227,228,226,227,237,255,205,222,255,166,204,239,231,231,230,227,226,225,197,201,206,211,214,218,222,224,227,228,230,230,255,245,214,255,204,235,255,154,203,241,232,232,233,230,229,228,199,205,209,213,218,221,223,227,229,229,227,241,255,255,173,178,184,232,255,154,212,242,236,234,235,233,231,230,202,206,211,215,220,224,227,229,229,235,255,255,200,229,210,161,146,191,225,156,220,244,238,236,236,235,233,231,204,208,213,217,221,226,230,232,227,255,255,255,241,209,244,255,202,134,169,147,226,244,239,238,238,237,234,233,206,210,215,219,223,228,230,234,229,255,240,159,206,136,189,255,220,138,123,129,229,245,242,240,240,240,238,236,207,212,217,221,225,229,231,237,231,255,227,150,137,107,106,231,255,182,117,117,228,248,244,244,242,242,240,238,208,212,218,222,227,230,233,238,233,255,255,219,169,135,131,176,255,228,136,107,231,252,246,245,245,244,243,240,210,214,220,225,228,232,236,240,235,255,255,200,156,145,165,178,255,255,170,103,221,255,247,247,246,246,245,242,211,215,222,227,229,234,238,241,237,255,255,192,166,170,178,227,255,255,198,115,212,255,248,249,248,248,247,244,213,217,222,227,230,234,239,243,240,255,255,215,189,191,203,255,255,254,203,121,212,255,251,252,250,249,248,246,213,219,224,228,232,236,241,246,241,255,255,234,194,211,233,255,255,244,193,127,214,255,253,254,251,251,251,248,213,218,223,228,233,236,241,247,242,255,255,247,210,217,255,255,255,237,188,125,216,255,253,254,253,252,251,251,213,219,224,229,232,237,242,247,241,255,255,250,234,221,255,255,255,231,177,117,211,255,253,254,252,251,252,250,217,223,228,230,234,239,244,249,246,255,255,255,255,237,255,255,251,222,176,107,210,255,254,255,254,253,254,249,218,222,226,230,236,240,244,249,249,255,255,255,255,254,240,255,228,213,164,102,215,255,255,255,255,253,255,255,218,222,228,232,237,239,244,249,250,249,255,255,255,240,216,236,205,212,159,105,237,255,255,255,255,255,255,206,222,225,230,236,239,243,246,251,255,255,255,255,249,206,185,212,202,206,139,123,255,255,255,255,255,238,148,103,208,216,222,227,233,240,246,244,195,161,255,255,218,185,172,217,201,190,103,188,255,255,255,255,235,132,105,96,143,145,149,150,153,155,159,168,87,0,210,255,228,183,182,237,178,152,80,104,190,196,198,202,130,93,92,78,111,118,122,124,120,118,121,139,148,76,137,255,222,184,204,237,143,117,53,16,92,120,122,133,105,73,68,71
22,129,136,139,143,150,155,159,162,165,168,170,171,174,175,174,175,175,175,173,173,173,172,171,170,169,167,166,166,130,137,141,144,151,155,160,163,167,169,170,176,176,176,177,178,175,177,180,176,175,175,173,172,170,169,168,167,132,140,143,147,152,157,163,166,167,185,158,139,182,177,179,178,181,163,156,181,176,176,174,176,176,171,170,169,133,142,145,148,153,159,164,168,167,203,162,105,181,179,181,179,191,150,101,179,179,177,179,161,157,176,172,170,135,142,145,149,155,160,165,170,168,207,172,104,179,182,182,183,187,137,99,185,179,180,184,132,101,178,173,172,136,143,147,151,157,162,167,171,169,205,183,109,175,186,183,185,180,122,120,191,178,185,180,122,110,183,174,174,136,144,147,151,159,164,169,173,169,209,199,118,164,190,183,179,173,108,144,191,184,191,162,95,150,186,176,175,137,145,148,153,159,166,170,175,171,208,196,118,154,194,183,173,158,95,163,188,196,192,138,105,184,180,178,177,139,147,150,154,160,167,172,176,173,206,194,118,138,197,183,183,162,92,176,193,190,164,113,144,190,180,180,179,140,148,151,156,163,169,173,177,176,200,211,147,129,195,181,184,143,103,198,209,188,130,98,182,184,183,181,180,142,149,151,156,164,170,173,178,180,191,211,150,113,192,164,165,102,122,220,208,180,106,131,196,183,184,183,182,143,149,152,158,165,172,176,179,182,184,210,138,81,153,149,163,152,183,207,188,152,91,178,192,186,185,184,182,144,150,154,159,166,172,177,179,191,163,166,128,102,159,170,170,194,194,189,163,100,122,198,187,188,186,184,184,145,151,154,159,165,173,178,183,200,163,143,131,140,142,154,178,182,183,179,129,90,183,193,189,189,188,186,184,146,153,154,161,169,176,176,193,206,175,183,170,161,108,83,148,166,176,150,97,129,206,191,191,191,190,188,186,147,154,156,162,170,176,177,199,219,183,169,173,162,141,109,78,119,130,106,83,154,205,193,192,192,191,189,188,147,154,156,163,171,176,177,211,210,173,117,110,154,164,147,110,74,83,89,78,180,202,196,194,194,193,190,189,147,153,156,163,172,177,180,216,211,173,116,71,109,172,162,140,108,83,74,78,192,200,198,196,195,193,191,190,148,155,158,165,171,178,180,218,230,177,185,98,130,203,176,146,129,107,66,60,182,204,198,196,195,194,192,191,149,154,158,166,172,179,182,220,228,177,168,103,175,220,185,152,134,108,63,53,181,206,197,197,195,195,195,193,150,154,157,165,172,179,180,219,230,178,156,164,214,191,182,147,122,98,57,70,198,202,197,197,197,197,195,192,148,155,157,164,172,179,178,212,223,194,162,188,223,174,163,164,116,91,49,104,211,197,197,197,196,196,195,192,149,155,157,165,173,180,180,206,221,203,164,193,215,175,160,159,127,81,45,138,212,197,198,197,196,197,195,192,150,155,157,165,173,181,181,199,215,206,167,178,204,171,155,147,112,70,48,173,208,200,200,198,197,197,196,194,149,154,157,165,172,179,185,181,214,199,168,151,175,148,130,118,84,52,76,205,200,200,199,196,195,194,194,193,150,156,159,167,176,183,189,73,149,198,132,122,136,135,114,90,72,53,150,219,207,208,206,203,202,202,201,199,128,132,133,136,138,146,122,52,54,122,127,134,139,150,130,91,72,64,142,150,147,146,147,148,147,148,147,147,107,107,106,107,107,100,62,57,57,50,108,135,135,142,127,84,53,42,95,96,94,94,92,92,91,90,81,65
18,130,131,135,137,139,143,145,146,148,149,152,154,153,154,154,155,154,155,155,157,158,159,160,160,160,160,159,160,132,134,138,139,142,146,148,148,153,154,155,157,157,157,157,158,157,157,159,160,162,161,163,163,163,163,163,163,134,137,141,143,146,148,150,154,156,157,158,160,160,160,161,161,161,162,163,163,164,163,164,164,166,166,165,164,137,140,143,146,148,151,154,155,158,160,161,162,163,164,163,163,163,163,164,164,165,166,167,165,166,168,168,168,140,141,145,148,151,153,156,158,161,162,164,164,165,166,168,166,165,167,170,173,170,168,174,171,173,171,170,172,141,143,146,151,153,155,157,162,164,164,165,166,168,169,170,170,170,171,152,146,167,174,145,118,141,175,174,174,145,146,150,153,155,158,160,164,164,166,167,169,171,170,171,170,171,174,134,120,154,179,134,70,82,130,186,172,147,149,152,155,157,160,164,166,167,169,170,171,173,174,171,175,173,160,155,155,176,161,160,103,61,67,175,179,149,152,155,158,161,163,166,170,171,172,173,175,175,175,179,147,151,140,156,159,152,126,183,129,70,32,143,193,151,154,157,161,163,166,169,172,173,174,175,175,170,196,191,126,96,113,134,128,81,134,206,141,92,33,124,196,154,155,159,162,164,168,170,173,175,176,174,188,124,133,179,131,98,85,130,79,41,185,203,153,113,40,121,198,155,157,161,163,166,171,172,175,177,172,195,208,118,71,171,155,132,89,181,107,47,199,209,177,134,50,129,202,155,158,163,165,168,173,176,178,176,190,193,200,145,89,141,179,139,83,144,145,84,167,218,191,135,66,82,202,157,160,165,168,171,174,177,177,185,196,145,196,174,118,101,176,140,101,49,117,188,198,188,161,125,88,42,168,158,162,166,169,171,175,179,176,198,204,145,183,185,135,82,145,153,104,130,185,193,196,159,142,123,104,43,143,161,164,168,171,174,178,180,186,198,174,127,145,161,117,60,103,121,142,210,194,175,169,146,129,123,93,52,172,162,166,171,173,176,179,180,185,209,178,127,123,107,73,40,33,117,212,204,187,165,151,139,109,102,58,88,204,164,169,172,175,178,181,183,184,207,184,153,125,62,54,19,42,204,205,191,177,163,150,116,90,73,40,155,204,168,170,173,176,180,184,184,186,209,192,173,134,86,124,74,158,217,201,193,172,158,138,95,74,53,69,202,197,167,171,175,178,180,185,184,192,209,206,164,125,162,148,137,221,205,203,183,161,146,114,79,66,42,116,211,197,170,173,177,180,181,185,184,200,207,209,153,148,175,129,183,228,213,193,172,155,133,92,64,60,47,177,206,198,171,175,178,180,185,188,185,199,213,205,157,159,171,119,214,216,216,183,157,136,108,74,60,40,108,209,198,201,172,176,178,182,186,188,190,187,202,207,166,174,158,131,225,217,199,169,148,120,84,62,54,51,189,207,201,203,174,177,180,184,186,189,194,189,190,197,176,183,155,170,202,203,177,150,132,105,74,65,36,117,217,200,203,204,174,178,183,185,186,190,194,192,182,192,179,191,171,167,176,181,163,143,118,94,73,55,57,195,207,205,204,204,176,181,184,187,188,191,194,194,180,198,191,181,165,143,162,177,165,132,105,84,69,38,139,215,204,206,207,207,176,181,183,187,190,192,195,197,179,186,164,152,145,133,161,168,159,125,89,74,47,70,203,205,207,208,208,209,177,181,183,188,191,193,196,199,187,173,144,152,149,169,173,169,150,119,87,71,37,128,216,206,208,209,209,210
15,130,139,146,152,157,158,160,165,169,173,176,180,183,185,187,191,192,194,197,197,198,199,200,202,202,202,204,203,132,140,147,153,158,159,162,167,171,174,177,181,183,186,189,192,195,197,198,198,199,201,201,202,203,203,205,205,133,141,148,155,160,162,163,168,173,176,179,182,185,187,190,193,195,198,198,199,200,202,202,202,203,204,205,206,134,143,149,156,159,161,163,170,174,177,181,184,187,190,192,194,197,199,200,201,202,203,204,204,205,206,206,207,135,144,151,157,160,161,165,171,175,178,182,185,187,191,193,195,198,200,202,202,204,205,206,206,207,209,208,208,136,144,152,158,162,163,167,172,177,181,184,186,188,192,194,197,198,201,202,203,204,206,207,208,209,209,210,210,136,145,153,159,160,165,168,173,178,182,184,188,190,194,195,197,200,202,203,204,206,207,209,210,210,210,211,211,137,146,153,163,208,190,177,176,178,183,186,190,192,197,197,200,203,204,205,207,208,208,210,211,211,211,211,213,138,149,152,173,229,197,187,186,181,189,189,188,186,190,197,203,204,205,207,208,208,210,210,212,212,213,214,214,140,149,156,162,187,186,180,175,175,193,192,188,183,171,182,190,195,201,206,208,211,214,213,213,215,215,216,215,140,149,157,164,166,169,167,161,166,179,181,182,181,183,189,182,185,189,198,198,191,199,213,217,214,216,217,217,142,151,159,165,169,171,174,179,181,181,178,172,171,180,184,179,175,173,190,199,191,179,171,202,223,216,218,219,143,153,160,165,169,171,175,181,186,190,192,190,188,185,179,170,163,171,189,197,204,178,172,161,195,224,219,220,143,153,160,166,171,173,177,182,186,190,194,197,201,202,201,195,188,198,196,192,197,191,180,185,159,188,226,219,145,154,162,167,172,175,177,182,186,191,194,198,200,205,204,213,235,216,191,159,196,196,177,196,180,151,192,230,146,154,163,169,173,174,177,183,188,192,196,199,216,195,177,190,214,209,177,132,190,196,181,195,193,174,144,194,147,156,164,170,174,174,178,184,189,193,196,205,222,192,167,195,229,219,175,158,177,185,191,192,186,173,153,140,149,158,164,171,175,176,180,185,190,195,198,204,203,175,170,202,230,213,170,166,167,165,178,183,165,166,159,148,149,158,166,173,175,177,181,185,190,196,199,201,208,208,178,196,217,195,175,174,176,173,178,180,157,152,158,156,149,158,167,173,174,176,181,187,192,196,200,201,212,247,216,153,140,142,155,179,185,182,187,184,164,157,159,156,150,159,168,173,175,177,183,188,193,197,202,204,206,246,226,169,105,83,76,94,142,182,183,181,170,170,161,150,150,159,169,174,176,177,183,188,193,198,203,204,206,246,225,164,121,114,93,70,73,150,173,166,158,145,130,116,150,160,168,174,176,177,184,190,194,199,203,206,205,241,225,145,150,152,140,111,91,98,131,121,109,97,94,87,151,161,169,174,176,177,184,191,195,200,203,208,205,235,235,154,179,176,166,162,136,104,99,96,95,91,92,90,151,161,170,175,177,179,184,190,196,199,203,207,205,227,247,162,172,186,172,153,119,101,99,98,99,93,93,90,151,161,169,174,175,178,183,190,195,199,203,205,207,214,247,167,169,228,205,142,108,96,99,99,98,93,93,91,152,161,170,175,176,179,185,191,196,200,203,207,208,216,233,148,184,233,214,135,101,97,98,98,96,93,94,94,153,162,170,175,177,180,186,191,196,200,204,208,209,218,195,169,221,223,224,138,110,103,102,96,93,95,95,95
11,165,165,164,164,164,163,163,163,161,160,160,158,158,157,156,154,153,151,150,149,146,144,143,143,140,139,138,137,168,168,167,168,167,167,167,166,166,142,155,162,160,160,159,157,156,154,152,151,149,147,146,144,143,141,138,121,172,172,171,171,171,172,172,171,173,131,125,166,165,164,162,160,158,157,156,154,152,151,149,146,145,134,89,43,176,176,176,175,176,176,175,175,171,148,101,153,171,168,166,164,162,160,159,157,155,154,152,149,136,75,25,17,180,179,179,180,180,180,179,178,175,160,108,125,173,172,170,168,166,164,163,161,160,157,156,152,97,40,25,24,184,183,183,183,183,183,182,182,179,163,118,106,174,175,174,171,170,168,167,165,163,160,159,144,60,44,36,25,186,187,187,187,186,186,186,185,183,172,142,97,165,180,177,175,174,172,170,169,166,164,164,136,49,43,36,32,189,189,189,189,189,188,189,189,187,185,156,95,149,183,180,178,177,174,173,172,170,167,166,130,47,35,23,27,193,193,193,192,191,191,192,191,189,187,163,97,133,187,183,181,180,178,175,174,172,170,169,118,38,34,20,29,195,195,194,194,194,194,193,194,191,176,163,112,114,185,186,183,182,180,179,177,175,172,173,106,31,30,17,23,196,196,196,196,196,197,196,196,195,177,167,143,102,168,186,187,185,183,182,180,179,176,173,94,28,25,14,20,198,199,199,199,199,200,199,198,199,189,176,173,121,148,132,157,189,186,184,183,181,179,169,71,30,19,19,30,201,200,200,201,201,201,200,199,199,195,176,182,182,168,100,100,187,188,187,186,183,181,172,89,73,75,65,44,202,202,202,203,202,202,202,201,201,198,183,186,162,129,98,80,175,192,189,188,185,181,172,152,144,133,114,74,204,203,203,204,204,204,205,202,192,165,178,190,143,75,82,78,151,194,191,189,185,177,174,166,143,109,83,61,205,206,206,206,206,207,204,196,182,121,109,156,133,75,70,78,119,194,192,190,177,180,178,152,110,95,77,45,207,207,207,208,208,205,197,195,173,124,92,104,132,92,66,75,87,184,196,183,164,171,161,110,94,134,126,46,208,209,210,209,206,197,198,177,139,133,110,84,114,105,65,72,77,134,166,151,155,155,121,112,139,149,141,89,210,210,211,211,201,194,177,137,92,113,115,83,87,108,68,69,81,73,96,130,145,126,112,172,143,114,125,123,212,213,213,211,198,192,175,137,84,85,118,62,56,109,78,65,108,92,93,123,124,99,160,189,167,73,109,126,214,215,214,213,195,192,176,137,93,77,94,38,42,114,80,62,122,107,92,108,91,120,190,189,187,140,128,134,215,215,215,215,202,188,176,158,136,93,60,41,48,117,101,74,90,103,100,89,87,174,195,191,189,184,156,128,216,216,216,217,212,191,182,171,151,117,79,64,82,127,122,92,104,134,104,73,143,197,195,192,189,189,162,122,217,217,218,218,217,198,183,172,162,134,102,78,94,145,136,105,122,115,85,81,183,199,196,193,191,190,164,105,217,218,218,218,219,206,187,174,159,137,109,90,88,133,155,139,123,98,68,114,200,199,196,195,193,191,166,98,217,217,218,218,217,212,184,171,152,137,116,98,90,113,135,129,114,83,71,169,202,198,196,194,193,191,161,128,218,218,218,218,217,217,193,166,154,140,125,109,94,94,111,105,91,66,129,199,199,197,195,194,191,180,145,138,219,219,219,220,218,219,208,167,154,143,132,114,92,81,90,82,65,102,193,201,200,197,195,189,153,139,134,139
16,52,52,53,54,54,64,74,84,92,99,106,111,114,115,117,121,125,130,133,136,139,142,144,146,148,150,152,154,51,51,53,53,54,65,75,84,92,99,107,112,113,114,117,120,125,130,133,137,139,142,145,147,149,150,153,155,50,50,52,52,54,65,75,84,90,99,106,111,113,112,116,119,122,128,132,136,138,141,143,146,149,151,153,154,50,50,53,52,54,66,74,84,92,100,107,111,112,113,112,121,126,127,131,135,138,141,142,146,149,150,153,154,50,50,52,52,55,65,75,83,92,96,103,105,126,131,104,91,110,132,137,134,136,140,144,146,149,151,153,156,50,49,51,50,54,65,74,84,87,106,114,129,147,128,105,84,64,75,111,138,142,142,144,146,150,151,154,155,48,49,50,49,53,63,75,75,105,156,143,145,134,108,92,89,72,53,45,76,120,139,147,150,149,150,153,154,49,50,50,50,52,64,71,79,151,151,132,124,116,100,85,71,70,63,51,45,50,72,98,124,147,155,152,154,47,48,50,48,52,61,70,147,152,120,113,107,97,88,70,61,64,69,56,54,49,45,45,54,82,127,154,159,46,47,50,47,53,49,110,156,118,107,99,87,76,65,59,59,53,75,63,60,55,49,45,44,43,54,93,141,41,41,42,41,43,94,123,113,102,95,79,67,59,52,57,46,45,72,71,78,58,53,46,43,45,45,41,61,84,79,82,75,103,142,106,96,90,73,60,54,45,48,52,26,48,73,78,80,63,57,45,43,42,45,47,41,77,80,80,79,158,142,110,84,65,57,51,41,37,48,33,14,60,75,78,81,67,60,48,47,41,42,44,45,73,78,62,108,162,129,95,65,42,40,34,29,38,33,5,12,64,72,77,91,80,70,55,49,41,41,43,42,82,78,85,152,137,111,70,47,32,36,23,13,9,1,0,1,60,68,83,104,97,79,67,43,39,42,41,38,83,70,127,135,105,80,51,34,28,30,8,0,0,0,0,0,50,70,88,113,87,83,74,39,37,39,38,36,74,97,146,111,73,49,37,31,32,30,15,0,0,0,0,0,28,63,107,104,66,85,73,36,37,34,37,36,75,143,131,85,50,28,28,33,37,38,39,22,0,0,0,1,0,83,124,81,58,76,57,35,37,35,37,33,112,132,90,54,37,54,39,38,41,43,42,36,18,20,22,8,32,129,103,64,54,54,38,34,34,35,32,31,138,88,56,26,60,77,53,61,52,49,44,37,32,32,28,14,106,122,84,54,43,36,31,35,34,31,33,37,98,57,27,46,74,58,57,57,55,49,45,38,31,30,12,55,139,106,68,41,33,29,30,31,28,33,39,39,60,33,48,79,80,75,73,58,48,42,46,33,33,44,49,113,141,108,50,32,29,31,33,31,32,37,36,36,65,65,79,80,82,82,80,80,73,68,74,70,73,82,76,141,144,113,47,17,24,36,35,33,34,35,37,37,83,81,79,79,81,81,80,82,81,83,82,83,83,82,77,143,148,117,58,24,64,49,44,40,38,40,39,40,79,78,78,80,81,80,80,81,80,80,82,82,82,83,74,120,134,105,50,67,106,58,53,52,51,49,43,40,79,79,78,79,81,80,79,80,81,82,81,81,82,85,78,90,112,76,47,74,114,95,63,57,61,62,53,43,80,80,78,79,81,80,79,79,80,80,79,80,83,82,81,81,86,63,61,75,96,127,94,80,76,76,66,56,79,79,79,79,80,81,80,80,80,80,81,81,83,82,82,82,82,82,83,79,80,137,115,100,92,84,76,65
24,171,173,173,174,175,175,176,176,176,176,176,175,176,176,175,174,172,170,170,170,169,167,166,166,164,162,160,158,174,175,177,178,178,178,179,179,179,179,179,179,179,178,178,178,177,175,174,173,171,171,170,168,166,165,163,161,178,179,180,181,181,181,182,182,182,181,181,181,182,181,181,180,179,178,177,176,174,173,172,171,170,168,167,165,181,182,183,184,185,185,186,185,185,185,184,184,184,185,185,183,181,181,180,179,178,176,159,152,174,172,170,168,184,185,186,186,186,187,187,187,187,187,187,186,187,187,186,186,185,183,182,182,180,180,152,106,173,174,172,170,188,188,188,189,190,189,189,190,190,190,189,189,188,189,188,187,187,186,185,185,183,187,150,100,174,177,175,172,190,191,191,192,194,192,193,193,183,153,189,192,192,193,192,190,189,188,187,186,185,191,146,103,178,180,178,175,192,193,194,194,194,194,195,194,172,121,150,195,196,196,195,194,193,191,190,189,188,193,141,111,182,181,180,178,194,195,196,196,197,196,196,196,174,133,109,195,197,198,198,196,195,194,193,191,196,188,135,123,185,184,182,180,197,197,198,199,199,199,199,199,191,150,98,182,199,198,199,198,197,196,195,193,202,174,115,141,188,187,185,182,198,200,200,201,201,201,201,200,200,163,108,152,202,201,200,200,198,198,195,184,199,165,94,162,190,189,188,186,200,201,202,202,202,202,202,202,202,181,134,114,202,203,201,186,170,192,178,133,121,153,100,186,192,191,189,187,202,203,204,204,204,204,204,204,205,191,148,95,184,205,192,172,148,144,148,127,97,106,111,196,195,193,191,189,203,205,205,206,207,207,207,207,206,200,158,110,144,205,182,181,156,145,138,144,135,79,129,198,196,195,193,191,206,207,207,208,209,208,208,208,208,205,177,144,109,185,169,189,159,147,143,150,132,79,151,199,199,196,194,193,207,208,208,209,210,209,209,209,208,209,190,161,106,133,140,183,172,121,106,132,147,100,127,201,200,199,196,194,208,209,210,210,211,211,211,210,212,212,200,177,156,125,125,153,168,107,57,126,162,122,90,192,200,199,198,196,209,211,213,213,213,212,213,212,213,213,205,196,172,120,96,127,148,91,57,112,174,153,96,139,202,201,199,199,212,214,214,214,215,215,215,215,214,215,209,197,156,117,100,128,136,97,75,173,188,170,110,96,202,202,200,199,214,215,215,216,216,217,217,216,217,217,215,197,180,158,123,128,144,114,142,197,188,155,98,102,204,203,201,200,215,216,216,216,217,218,218,218,218,219,218,198,192,178,130,125,124,134,201,201,171,142,84,124,206,205,203,202,214,216,216,216,217,218,218,218,218,219,218,197,191,190,150,129,111,187,208,194,164,131,78,150,207,204,203,202,215,216,216,217,218,217,217,218,219,220,218,201,186,184,163,139,114,190,201,184,156,119,73,171,206,204,203,201,216,216,217,218,218,218,219,220,221,219,220,203,182,179,172,156,123,176,199,177,141,101,73,190,206,205,203,201,217,217,217,218,219,220,220,220,221,221,221,212,184,181,175,170,134,157,190,165,123,84,90,206,208,206,204,202,216,217,218,219,220,221,221,220,221,223,222,221,192,188,177,174,135,125,167,137,97,64,130,209,209,208,206,203,209,211,213,215,217,219,219,219,222,223,223,223,200,192,177,167,135,115,136,120,84,58,177,210,209,207,204,193,131,134,138,142,145,150,156,160,163,168,172,176,190,193,172,158,145,124,124,121,76,89,198,203,202,189,142,93
13,205,206,206,206,206,207,207,207,207,206,207,208,209,208,209,210,208,208,208,208,207,208,207,207,207,205,204,205,206,206,207,207,207,207,208,208,207,208,210,208,207,207,205,205,212,212,210,209,207,207,209,208,207,206,205,205,207,207,207,207,208,208,208,207,208,209,207,209,219,222,205,174,169,197,195,209,209,209,210,210,208,208,207,206,207,207,208,207,208,208,208,208,209,208,207,227,236,234,222,181,141,121,148,152,211,210,209,209,208,208,207,207,207,208,208,208,208,208,209,209,207,209,209,200,202,225,227,190,149,109,133,112,182,216,207,210,209,209,209,209,207,207,208,209,209,209,208,210,210,181,198,197,177,195,219,202,160,114,145,151,165,220,209,211,210,210,209,209,207,208,209,209,210,210,206,224,225,174,175,199,203,209,203,207,183,115,145,144,157,220,211,211,211,211,209,209,208,208,209,210,210,209,208,238,226,195,174,147,181,204,198,172,140,106,99,148,201,214,213,212,211,212,211,211,207,209,209,210,208,218,183,167,209,217,197,142,93,161,201,177,155,138,116,134,221,212,213,212,212,212,212,211,207,208,209,203,220,227,168,125,146,226,208,172,93,86,135,162,185,196,173,122,162,224,211,213,212,211,211,210,207,208,206,221,230,207,162,144,109,202,219,175,137,85,85,104,206,216,204,171,120,187,220,210,211,211,211,209,208,206,216,231,200,196,174,164,106,158,227,185,168,106,93,88,162,229,216,186,147,126,210,212,210,212,211,210,208,209,223,201,168,191,186,170,125,96,208,210,186,143,83,115,177,218,218,186,166,125,176,221,210,211,212,212,207,213,227,211,178,179,198,169,159,105,114,220,200,176,126,145,230,212,202,178,166,127,171,222,211,213,213,213,207,214,222,208,191,166,182,189,186,152,77,134,213,203,192,161,219,206,187,157,141,116,187,220,213,212,213,212,209,213,224,221,206,185,159,177,193,173,153,87,180,204,191,205,211,194,178,151,122,114,206,216,213,213,213,211,202,202,225,230,218,198,184,172,176,175,189,133,204,222,216,218,204,187,169,146,117,134,222,217,217,216,215,214,137,134,216,233,224,207,193,189,191,174,150,169,222,231,231,211,199,185,162,137,113,150,205,201,204,204,206,207,124,107,187,237,225,215,202,193,197,197,171,166,211,230,226,211,187,173,156,129,119,123,128,131,131,131,131,132,128,118,150,231,221,220,215,204,198,196,187,156,180,225,218,205,185,160,142,125,118,125,119,113,114,124,149,172,126,126,122,206,215,215,218,215,204,196,185,171,157,206,208,192,176,152,134,122,115,126,142,160,185,205,215,208,125,129,119,155,219,210,218,221,208,197,182,171,159,176,196,179,158,145,132,115,120,180,213,219,216,210,213,207,126,126,127,117,186,217,214,214,201,190,178,167,157,157,173,173,159,142,128,103,169,240,220,208,202,190,191,200,126,126,127,121,131,215,211,198,187,180,172,164,147,142,160,176,165,135,117,108,216,227,214,203,182,165,161,176,126,125,124,127,114,189,220,189,173,174,170,161,145,131,163,186,155,125,103,149,242,219,219,204,164,140,158,167,126,126,124,128,117,160,222,195,186,186,173,157,145,131,167,184,137,121,100,204,233,215,229,214,169,128,145,167,126,127,123,128,118,146,224,205,197,198,180,163,155,132,165,174,132,112,118,231,214,210,230,230,186,133,129,160,127,128,123,127,118,145,218,212,207,202,182,172,163,128,159,169,133,102,143,234,212,207,221,236,202,142,120,141
14,194,196,197,197,197,200,200,199,209,222,207,176,148,126,173,197,200,201,200,200,200,201,200,200,199,198,197,197,196,198,199,200,199,200,200,212,230,206,157,133,119,112,137,176,179,179,200,201,201,201,201,200,200,200,199,199,197,199,200,201,200,200,222,236,216,168,118,111,108,110,137,159,147,135,198,203,203,204,204,203,202,202,201,200,199,201,202,201,201,210,246,222,169,128,108,111,103,95,113,129,121,150,204,204,204,205,204,204,204,203,202,201,201,202,203,204,200,225,250,204,127,96,90,97,103,112,110,120,133,151,182,202,206,206,207,206,206,204,204,203,201,202,204,206,204,237,247,194,122,93,87,90,103,116,102,111,151,162,140,169,209,207,208,209,207,206,205,205,201,203,206,207,209,247,238,176,116,98,101,88,91,100,97,99,119,131,115,176,211,210,209,209,209,208,207,207,203,205,207,207,216,252,233,171,113,100,110,96,101,113,121,120,113,117,113,147,172,205,210,210,210,210,209,209,206,207,208,206,225,254,239,191,136,106,102,102,109,106,113,112,119,130,133,134,130,177,209,212,212,211,210,210,207,209,210,207,238,255,240,195,147,115,95,111,115,114,141,165,195,186,163,147,165,160,196,215,213,212,212,212,209,211,210,211,246,255,242,194,145,120,100,109,111,178,214,215,215,217,209,178,183,157,199,216,214,214,213,213,210,211,211,215,250,255,244,202,153,119,103,101,123,205,218,218,218,219,198,170,179,154,205,217,216,214,214,215,212,214,213,220,252,255,247,208,163,123,102,103,177,219,219,219,219,220,190,168,176,148,202,218,217,216,215,216,213,215,214,222,253,255,249,213,168,129,99,120,213,220,220,220,220,221,182,162,174,144,181,221,219,218,217,217,214,216,217,224,253,255,249,216,174,136,100,148,223,222,223,222,223,212,169,160,167,147,162,221,220,219,220,219,215,217,218,225,253,255,250,219,178,138,104,151,214,220,222,224,217,169,161,174,166,143,177,223,221,220,220,220,217,217,217,226,253,255,250,219,178,144,120,99,128,155,163,181,173,146,162,168,157,158,214,224,222,221,220,220,217,217,218,227,253,255,250,217,180,156,135,101,102,112,122,134,139,146,160,160,148,197,225,223,222,222,221,221,219,219,219,232,254,255,249,215,190,171,146,112,110,122,132,143,146,145,150,146,176,224,226,226,224,224,223,222,220,221,220,236,255,255,248,221,201,180,151,123,117,133,139,143,147,144,135,150,218,228,227,227,225,224,224,223,221,223,222,239,255,255,249,230,209,182,151,131,120,133,141,142,145,141,134,194,229,229,228,227,226,226,225,225,222,223,223,243,255,255,250,237,214,181,149,131,122,130,140,139,141,135,181,228,229,228,229,228,228,227,228,227,222,224,224,247,255,255,250,237,209,168,133,122,118,127,136,137,133,156,225,231,230,229,229,229,228,228,228,227,224,226,228,251,253,252,243,222,186,136,112,112,113,123,130,133,137,205,232,230,231,230,231,230,230,229,228,228,195,183,174,181,168,160,145,128,111,90,81,89,104,118,123,130,185,232,232,233,232,232,233,232,230,230,229,230,124,115,105,99,91,85,77,71,70,63,54,54,66,88,113,179,231,232,233,233,232,232,233,233,232,232,230,231,113,107,98,93,88,82,73,69,67,59,51,49,49,50,86,222,236,235,235,235,235,234,234,234,233,232,232,232,112,106,98,91,85,80,72,68,64,57,50,47,48,47,87,228,237,237,236,236,236,234,234,234,233,233,234,233
23,215,216,217,220,221,221,222,223,225,226,229,230,230,226,223,224,225,226,228,225,226,227,228,227,227,227,224,223,217,218,219,222,221,223,226,226,228,230,229,226,227,230,246,255,250,222,220,229,230,227,227,229,229,229,227,225,218,219,221,223,225,226,227,228,231,229,233,243,255,255,255,255,252,234,218,219,172,204,234,231,231,230,229,228,219,221,224,224,228,229,228,231,232,229,255,255,255,255,252,220,168,173,167,146,145,226,233,232,232,232,232,232,222,223,224,226,228,230,231,233,228,241,255,255,219,220,185,150,190,191,180,191,229,235,232,234,235,234,234,233,223,223,225,229,231,232,234,236,225,254,255,255,193,142,165,214,240,241,242,241,236,234,234,237,236,235,234,234,225,224,228,231,232,233,236,237,228,255,255,255,205,169,244,242,252,253,224,236,235,238,237,239,238,237,237,236,226,228,231,232,233,235,237,236,236,255,255,255,192,178,255,255,255,255,181,230,253,239,239,241,242,240,240,239,228,232,233,233,235,238,240,231,249,255,255,255,216,255,255,255,255,248,160,153,190,239,243,242,241,241,241,240,230,233,234,236,237,240,242,231,255,255,255,255,255,255,255,255,254,235,239,185,96,185,253,240,241,243,242,241,233,235,237,239,240,240,241,236,255,255,255,255,255,255,255,255,255,255,255,232,126,138,255,244,247,246,245,244,235,236,239,240,242,242,237,255,255,255,255,255,255,255,255,255,255,255,235,193,129,109,201,253,245,249,246,246,235,236,240,241,243,236,255,255,255,255,255,255,255,255,255,255,254,237,239,217,124,105,132,249,249,249,249,248,238,240,243,243,243,235,255,255,255,255,255,255,255,255,255,255,254,247,251,230,134,97,143,255,250,250,251,251,239,241,243,246,245,243,255,255,255,255,255,255,255,255,255,255,240,234,229,191,136,96,189,255,249,252,252,252,241,242,243,247,253,246,255,255,255,255,255,255,255,255,215,217,206,193,177,176,134,118,236,255,253,253,253,252,243,244,245,248,253,248,255,255,255,255,255,255,255,241,181,142,122,128,168,175,126,152,255,255,255,255,253,254,244,246,248,249,252,249,255,255,255,255,255,255,255,223,189,148,37,88,176,172,122,195,255,255,255,255,255,255,246,248,250,251,252,251,255,255,255,255,255,255,255,255,185,95,61,128,163,146,114,231,255,255,255,255,255,255,249,250,251,252,253,254,253,255,255,255,255,255,255,255,181,95,88,146,127,112,141,255,255,255,255,255,255,255,249,252,251,253,255,255,254,255,255,255,255,255,255,240,185,134,84,104,114,116,161,255,255,255,255,255,255,255,249,253,253,255,255,255,255,255,255,255,255,255,255,242,183,146,82,98,129,118,182,255,255,255,255,255,255,255,251,253,254,255,255,255,255,255,255,255,255,255,255,242,186,154,107,111,137,118,216,255,255,255,255,255,255,255,251,253,255,255,255,255,255,255,255,255,255,255,255,245,193,158,120,124,140,126,250,255,255,255,255,255,255,255,251,254,255,255,255,255,255,255,255,255,255,255,255,233,189,154,130,128,127,158,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,251,220,178,152,140,134,114,228,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,230,196,168,157,147,120,154,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,229,197,170,155,142,132,252,255,255,255,255,255,255,255,255,255
23,126,134,146,152,156,159,163,165,166,168,170,172,173,176,176,177,179,179,180,181,182,183,184,185,186,187,187,187,126,135,147,153,157,160,164,166,168,169,170,174,175,176,177,178,178,180,181,181,184,184,185,185,186,187,187,188,128,138,150,153,157,161,164,166,168,170,173,174,175,177,178,180,179,180,181,181,185,185,187,186,187,188,188,189,129,139,150,154,159,161,164,166,170,172,174,175,175,179,180,181,182,183,183,184,185,185,187,186,188,190,190,189,130,141,151,155,160,163,165,168,170,173,174,175,176,179,180,181,182,185,184,184,184,186,188,191,190,190,191,191,131,142,153,156,161,163,166,169,171,173,175,176,179,180,180,182,184,183,185,188,178,178,181,149,181,193,191,192,133,144,154,156,162,164,167,170,173,174,176,178,179,180,181,182,182,190,197,186,166,156,138,126,188,193,192,193,136,146,155,158,162,164,167,171,173,175,177,179,180,182,182,186,195,191,186,153,125,147,151,184,195,193,194,196,136,148,156,159,163,165,168,171,173,175,177,179,181,182,179,206,194,164,142,126,169,179,198,195,194,195,196,197,136,149,156,159,162,166,169,171,174,175,178,180,181,182,181,211,195,139,133,198,191,130,180,196,194,196,196,197,138,149,155,159,163,166,169,172,175,176,179,181,181,182,186,214,196,179,211,205,172,142,160,205,195,197,198,197,138,150,156,160,164,167,171,173,174,176,178,181,182,182,192,211,200,213,202,181,171,180,154,167,175,200,197,198,139,152,156,160,164,168,171,174,175,177,179,181,184,183,193,202,198,200,191,196,196,185,147,113,129,189,203,199,141,152,156,160,165,168,171,174,176,178,179,182,183,185,193,192,187,196,200,192,183,168,133,101,103,150,207,200,142,153,157,161,166,169,172,175,176,178,182,182,188,200,194,184,185,190,184,180,182,163,123,99,104,112,150,201,144,153,157,161,166,170,173,175,177,179,181,179,204,215,189,186,186,186,183,178,163,147,121,102,98,120,115,168,144,153,158,161,166,169,173,175,177,178,181,180,194,218,199,198,183,159,144,132,135,152,120,99,94,118,119,181,146,154,158,163,166,170,174,176,178,178,181,182,190,213,201,189,172,159,125,85,136,157,120,101,109,121,140,206,147,155,159,163,167,171,175,177,179,179,182,183,192,208,189,181,190,150,112,100,149,137,99,99,125,121,173,209,148,155,158,162,167,171,174,178,180,180,183,184,191,211,188,193,191,141,93,98,103,85,93,111,127,135,204,205,149,155,159,163,167,171,175,177,179,181,183,184,192,207,190,198,183,152,109,72,77,93,116,125,118,165,209,203,150,156,160,164,167,172,175,176,179,181,182,184,193,204,191,201,184,151,122,81,97,118,130,132,128,196,204,204,151,156,160,164,168,173,176,178,180,181,184,184,195,203,195,200,184,152,130,94,108,128,134,125,156,211,202,205,151,155,160,165,168,172,175,178,180,182,185,184,198,202,198,198,180,153,129,96,113,132,134,119,178,210,204,206,151,155,160,165,169,172,175,178,180,182,185,185,199,205,193,189,176,153,130,108,112,132,129,125,199,206,205,206,151,155,160,166,168,172,176,179,180,183,186,186,198,203,188,184,172,152,132,118,113,129,118,151,211,202,204,205,151,155,161,166,168,172,176,179,181,183,185,186,199,201,189,184,169,154,138,122,116,122,121,194,207,204,205,205,150,155,161,165,169,173,176,180,181,182,186,186,205,201,191,185,170,157,141,123,119,116,163,210,203,206,206,207
4,176,178,179,180,180,181,183,183,182,182,184,184,184,185,185,184,184,183,184,185,184,184,184,183,184,184,183,182,178,180,180,181,181,183,183,184,185,185,185,185,186,186,187,186,188,190,186,186,186,186,187,186,185,186,186,185,181,182,181,183,184,185,186,186,186,186,186,185,184,188,191,178,155,165,191,188,190,186,188,188,188,188,188,188,182,182,183,185,186,186,187,188,186,185,189,171,154,166,217,188,153,105,180,194,190,194,188,191,189,188,189,190,184,184,186,187,188,189,188,189,190,193,219,187,177,141,209,201,166,122,131,167,153,166,197,191,192,189,191,192,186,187,187,189,191,190,189,188,178,182,217,216,177,143,171,213,162,133,80,157,151,108,171,199,193,194,194,193,187,189,188,192,193,191,191,200,193,181,148,204,196,153,143,215,170,131,74,162,163,115,105,203,195,196,196,196,188,190,191,192,194,190,197,215,207,194,118,122,203,146,117,213,180,127,68,162,167,122,83,192,199,197,197,198,190,192,193,193,194,191,203,193,186,177,109,95,168,142,113,169,154,104,69,169,163,115,79,191,203,199,199,199,192,194,195,196,196,194,203,194,166,177,105,77,167,153,127,129,111,71,65,166,144,89,92,201,202,200,200,200,193,194,196,197,198,194,199,203,155,167,124,83,149,167,161,145,145,115,75,127,116,79,96,209,200,203,202,201,193,194,196,197,200,198,199,217,194,154,137,88,100,180,190,191,178,161,111,79,96,76,112,214,201,204,203,203,196,196,198,199,201,200,201,217,197,161,116,73,68,144,184,191,190,158,112,70,77,70,134,218,202,203,203,205,196,197,200,202,202,199,203,215,175,135,115,95,74,62,122,174,178,150,117,86,75,67,149,219,204,205,205,205,198,200,201,201,201,198,207,207,170,137,113,94,78,76,81,109,158,157,137,99,80,62,153,217,204,207,206,205,199,200,202,202,202,200,209,216,187,151,124,107,95,87,110,92,156,186,155,116,90,61,163,217,206,208,208,206,200,200,202,203,203,201,211,214,186,138,112,106,95,83,116,159,199,202,182,141,105,64,153,222,207,208,208,208,200,202,202,203,204,203,213,213,177,143,120,105,113,99,142,201,217,206,199,155,116,82,109,222,207,210,210,210,202,202,203,204,206,205,213,209,180,145,127,116,139,111,172,219,223,203,180,145,117,89,111,222,209,211,211,211,202,202,203,205,207,206,214,207,182,149,137,139,138,128,196,221,215,198,173,132,113,79,138,225,212,213,211,211,203,204,205,206,206,206,209,205,180,156,146,144,133,135,204,219,201,176,160,118,99,74,171,221,212,213,211,211,204,205,206,206,207,208,207,202,175,153,135,157,131,136,204,216,186,156,142,107,88,83,201,217,213,213,210,211,203,205,208,207,209,209,205,197,179,153,157,176,127,137,210,205,173,143,123,98,84,110,222,213,215,215,214,214,203,207,207,207,210,211,208,192,180,164,156,175,135,137,211,180,157,131,108,93,76,153,226,214,216,215,215,215,204,205,206,207,209,210,209,198,186,167,152,169,139,143,197,164,144,114,98,91,79,193,222,216,217,216,215,216,203,203,204,205,207,207,201,212,197,169,152,149,131,126,186,155,124,107,94,86,97,214,216,216,216,216,216,216,203,204,204,205,208,199,203,220,195,166,149,130,111,119,161,133,106,99,94,75,147,223,215,216,216,216,216,216,204,205,206,208,208,195,215,211,193,179,154,118,114,132,155,104,106,93,87,100,206,217,216,216,215,215,215,215
10,123,129,132,135,139,145,151,154,158,161,164,166,169,171,172,175,176,177,179,179,177,181,180,181,180,180,179,178,125,131,135,137,142,147,153,157,160,163,166,169,171,172,174,178,179,180,179,186,191,166,184,183,183,182,182,181,126,133,136,137,144,149,155,159,162,165,167,171,173,174,178,180,180,181,176,205,210,143,182,185,185,185,183,183,126,133,136,139,146,151,156,159,163,166,169,171,174,176,180,181,183,184,178,212,217,144,176,189,186,186,185,185,129,135,137,140,146,153,158,161,165,167,170,173,177,180,181,184,185,186,182,207,231,156,170,192,187,188,189,188,130,137,139,142,148,154,159,162,165,169,172,175,179,181,182,184,186,188,184,203,246,177,161,196,190,191,191,190,132,138,140,144,151,156,160,165,169,172,175,178,181,182,184,185,187,189,186,202,248,194,150,197,192,193,192,193,133,139,141,145,152,157,162,167,171,174,177,180,182,184,185,186,191,191,189,198,248,203,145,196,194,194,194,194,134,140,141,147,153,159,163,168,173,174,177,182,184,183,196,196,162,194,192,198,247,207,141,192,198,195,195,195,136,142,145,148,155,161,165,169,172,181,180,178,185,186,213,211,134,155,199,200,246,214,141,187,202,198,199,198,138,143,145,149,157,162,166,171,171,208,177,132,132,140,179,212,188,158,182,207,240,210,144,176,204,199,200,200,138,143,146,151,158,164,168,172,175,189,157,120,116,123,121,191,232,192,140,208,222,204,155,163,208,200,201,202,139,145,147,153,159,165,170,174,178,181,172,156,143,138,132,143,213,199,136,166,183,186,160,154,209,203,203,203,141,146,150,154,161,167,172,176,180,183,189,186,211,206,126,111,197,225,174,119,128,150,154,137,203,205,204,204,142,147,151,156,162,168,173,177,182,185,186,194,245,205,107,94,159,242,199,137,107,127,141,125,191,210,205,206,143,148,152,156,163,169,174,179,182,188,184,224,248,197,116,116,111,236,221,171,121,115,139,124,182,213,205,206,144,149,151,157,164,170,175,179,184,189,186,221,244,226,137,88,126,228,236,193,139,109,134,125,185,216,208,209,145,150,152,159,165,171,176,180,185,189,190,197,231,241,168,122,149,227,236,190,142,117,126,122,190,217,210,210,146,150,154,160,167,173,178,182,186,189,193,192,215,218,165,154,161,235,229,203,158,125,124,119,195,217,211,213,147,152,154,161,169,173,178,183,187,191,194,197,196,212,210,176,191,245,226,210,177,137,123,117,201,217,213,214,149,153,156,162,169,174,179,184,189,191,195,200,197,229,248,219,220,248,230,204,180,148,127,115,202,217,214,215,149,152,156,162,169,174,179,184,188,192,195,200,199,220,248,233,235,247,230,204,181,155,133,117,204,218,216,216,148,152,154,161,169,173,178,183,188,191,195,198,199,210,248,245,238,245,228,204,177,161,138,118,205,218,215,215,149,153,155,163,170,176,180,184,189,192,196,200,201,208,247,248,244,245,225,204,183,167,142,114,204,218,217,216,149,153,156,163,171,176,181,186,190,194,197,200,203,203,238,248,247,244,224,211,190,165,139,117,211,219,218,218,150,153,158,164,172,176,182,186,190,194,198,201,204,202,227,248,239,236,219,220,199,162,131,124,220,216,219,220,149,154,158,164,171,176,182,187,192,196,199,202,205,209,221,244,226,224,223,221,210,162,123,126,225,222,219,220,146,151,156,162,169,174,180,187,191,194,199,200,206,177,118,207,224,232,231,220,213,159,122,83,89,187,226,219
19,166,167,168,170,172,173,172,172,173,172,172,172,171,171,170,170,169,167,166,167,166,166,165,164,164,163,161,160,167,168,170,171,172,173,173,173,174,174,174,173,172,172,171,171,170,168,167,167,167,166,166,165,165,165,164,162,168,170,171,172,173,174,174,175,175,175,175,174,174,173,173,171,171,170,169,169,169,168,167,167,167,166,165,165,170,171,172,173,174,175,176,176,176,175,176,175,174,174,174,173,172,171,171,170,170,170,169,168,168,166,166,166,171,172,173,174,176,177,178,178,178,178,179,177,176,176,175,174,172,172,172,172,171,171,170,169,167,167,166,166,171,172,174,175,177,179,179,179,179,179,179,179,179,177,175,175,174,173,173,174,173,172,170,170,169,168,167,167,172,174,176,178,179,179,181,181,181,181,180,179,179,178,177,178,176,175,175,174,174,173,171,171,170,169,168,168,174,177,178,179,180,181,182,181,182,182,181,180,180,179,179,178,178,177,177,176,175,174,173,173,172,170,170,169,176,178,179,180,182,182,183,183,184,183,182,181,180,180,176,164,166,176,173,172,173,172,170,170,171,151,166,170,176,179,179,181,182,182,183,183,183,179,179,181,181,182,179,165,169,180,170,169,175,170,168,165,152,110,156,172,177,180,180,181,184,185,184,186,186,166,158,163,171,173,169,164,166,168,161,166,180,170,152,132,117,132,169,173,179,180,181,182,185,185,184,183,168,159,164,166,165,167,162,149,126,123,121,129,149,141,135,139,156,172,174,174,180,181,181,183,184,182,189,191,177,177,180,174,163,153,132,123,110,90,93,134,166,169,175,178,178,177,175,175,181,182,183,184,185,180,210,214,196,184,180,173,165,147,112,87,97,86,91,161,183,180,180,178,178,177,176,175,182,182,183,186,187,182,214,211,182,157,140,138,138,134,109,89,96,89,101,175,183,180,180,179,179,179,178,177,183,184,185,186,189,181,202,199,165,129,112,88,96,137,116,95,98,91,111,180,183,181,181,180,180,180,179,178,183,185,186,187,189,178,195,194,157,115,87,69,109,142,117,99,100,93,126,185,184,184,183,182,181,179,178,178,184,186,187,188,190,175,194,197,166,132,97,78,108,110,99,97,96,98,117,184,186,185,184,183,182,180,179,178,185,187,187,188,190,174,193,198,170,139,113,91,69,59,60,71,84,94,101,178,187,185,184,184,183,181,180,180,186,188,188,189,191,170,191,197,171,141,115,105,90,71,64,73,85,90,97,170,188,187,186,185,185,182,181,181,187,188,188,190,192,173,185,194,168,140,116,107,104,89,83,87,93,97,100,169,189,187,187,185,185,184,183,183,186,188,189,190,193,175,183,191,165,138,118,109,107,93,88,92,98,101,108,177,189,188,187,186,186,186,186,184,187,189,189,192,195,180,184,188,162,136,118,108,106,96,92,96,102,103,125,186,189,188,188,188,187,187,186,184,187,189,191,192,195,180,189,187,157,133,117,107,106,103,101,103,108,108,156,192,191,189,189,189,188,186,186,184,188,189,191,193,194,180,195,190,161,136,121,108,106,110,108,111,112,131,185,194,193,192,190,190,189,187,187,186,188,189,191,193,193,178,197,187,166,144,123,109,106,112,112,115,140,179,194,194,193,193,192,191,189,188,186,186,187,188,190,192,189,182,194,180,159,145,124,109,110,110,109,146,188,193,193,193,192,191,189,189,189,188,186,185,187,188,190,192,187,194,194,180,156,138,124,111,109,105,111,170,193,192,192,192,192,190,189,189,188,186,185,185
7,170,174,178,181,183,185,186,186,185,187,188,188,188,188,188,187,187,187,187,186,185,184,188,170,189,201,196,201,175,179,183,185,187,188,189,190,190,191,192,192,191,191,189,188,188,187,187,187,185,185,184,184,195,152,205,201,181,184,187,190,192,193,194,195,195,195,196,195,193,194,192,193,192,191,190,189,188,188,185,188,180,159,209,201,186,189,192,195,197,197,199,199,199,199,199,199,198,198,197,196,195,195,193,192,191,190,189,186,193,209,195,201,190,194,198,200,202,203,204,204,205,203,203,203,202,202,201,200,199,199,198,196,195,193,191,190,191,177,158,202,194,199,202,205,206,208,208,208,208,207,208,209,207,207,206,206,205,204,202,200,200,198,195,193,193,184,178,204,198,203,206,209,210,212,212,212,212,212,213,212,212,211,210,209,209,208,207,206,204,202,199,197,196,193,193,206,202,206,210,212,214,215,216,216,215,215,215,215,215,214,214,212,212,212,210,209,207,205,204,202,200,198,200,214,207,210,213,215,218,219,221,224,226,223,222,222,221,221,221,220,219,217,214,212,210,209,207,206,203,200,201,216,211,215,218,221,224,222,216,198,183,196,201,205,205,202,199,197,206,212,217,219,218,215,211,208,207,202,203,218,214,218,222,222,221,218,209,175,128,145,172,185,178,178,177,169,160,168,175,173,189,198,209,214,209,212,211,218,218,221,219,217,217,212,205,175,148,149,154,166,165,168,171,163,143,155,160,154,163,166,192,190,218,180,182,223,217,216,216,221,220,216,206,172,139,151,154,161,157,159,167,159,144,140,144,153,158,163,186,169,200,90,145,237,220,221,221,226,223,217,200,169,123,131,148,165,173,166,170,156,156,149,157,167,151,153,154,167,175,108,103,176,225,222,222,226,220,213,199,155,127,140,145,154,153,154,155,155,150,142,153,165,156,156,156,174,188,163,102,89,224,225,223,224,225,218,216,176,119,118,115,105,136,153,143,140,139,145,151,157,149,146,144,144,160,138,103,94,228,223,220,226,218,210,223,186,117,109,115,103,130,187,233,230,236,234,212,158,103,105,105,101,103,96,95,96,221,215,214,216,202,204,205,166,125,117,120,121,110,96,206,222,165,138,104,84,84,78,78,91,89,91,95,94,215,215,209,204,199,197,196,165,120,108,121,131,127,113,104,89,75,80,93,92,83,86,82,82,85,83,92,95,210,207,201,198,197,197,208,177,116,91,79,112,120,109,107,92,86,76,88,98,84,75,84,83,81,88,83,63,198,194,199,198,198,196,195,172,117,97,88,94,115,124,127,94,84,84,72,90,94,78,70,78,82,93,61,39,190,184,184,180,176,175,161,138,118,109,102,91,70,90,97,69,71,93,77,72,88,93,75,67,73,73,68,62,181,168,154,148,145,142,140,122,114,101,77,98,65,58,81,84,63,82,88,73,76,87,88,69,69,67,70,67,167,162,142,138,129,147,153,100,77,89,55,88,85,52,71,89,75,67,87,84,73,75,86,80,64,68,67,67,140,143,148,157,192,216,113,96,76,82,64,68,93,60,56,83,87,65,76,87,77,73,72,82,67,64,68,66,134,229,235,249,252,140,84,101,86,66,73,57,84,77,47,73,89,73,70,79,81,73,67,73,76,58,64,67,90,190,180,191,152,86,95,83,74,77,66,55,66,87,49,58,84,81,73,74,75,73,66,65,74,64,56,63,73,146,144,130,104,90,85,84,60,78,70,48,54,87,63,46,75,85,74,75,72,71,65,63,66,70,55,57
23,171,172,172,173,174,174,174,175,175,175,175,175,175,175,175,176,175,174,174,174,174,173,173,172,172,171,172,163,173,174,173,174,175,176,176,176,177,178,177,177,177,176,177,178,178,176,174,175,174,174,174,173,172,173,171,172,173,174,176,177,177,178,178,178,178,178,179,178,178,178,178,178,179,179,179,176,176,175,175,174,174,174,173,173,175,177,178,178,178,178,178,178,179,179,179,179,179,180,179,179,180,181,179,178,178,178,178,178,177,176,175,174,177,178,178,179,179,179,180,180,179,180,180,180,180,180,180,180,180,182,180,179,179,174,175,176,176,178,177,176,178,178,179,181,181,181,181,181,180,181,181,182,180,180,180,181,181,179,186,195,189,182,177,144,122,184,177,178,179,179,180,180,181,182,182,181,181,182,183,184,183,182,183,183,182,192,201,197,162,147,146,112,134,185,178,179,180,181,181,183,182,184,184,184,184,184,185,184,185,185,183,184,200,200,182,157,102,135,152,165,184,181,181,181,181,181,182,183,184,184,184,185,185,184,184,184,185,184,181,197,211,180,114,113,159,189,185,184,181,181,181,181,182,182,183,184,184,184,185,185,185,185,185,185,186,183,189,205,210,147,92,178,191,184,182,185,185,181,183,183,182,183,184,185,184,185,186,185,185,186,186,186,187,184,199,203,203,155,162,189,165,178,187,173,174,186,184,184,183,184,184,185,185,185,186,186,186,185,187,187,188,187,198,197,186,197,200,197,145,135,175,160,140,188,184,183,184,184,185,185,186,185,185,187,187,187,182,168,173,185,188,190,129,169,171,176,145,103,157,168,119,188,185,185,184,185,185,186,187,187,186,188,187,193,190,171,149,161,172,191,176,195,195,180,135,89,129,148,113,191,186,185,185,186,187,187,187,187,188,188,190,202,201,196,176,166,157,155,148,153,172,181,148,91,82,105,93,177,190,186,184,185,187,187,186,187,189,189,187,199,208,200,195,179,163,174,160,143,138,141,145,112,76,89,84,132,196,186,183,184,186,186,186,186,187,189,185,195,210,196,191,171,135,150,177,169,155,139,104,120,85,79,90,109,193,186,183,185,186,186,186,186,187,189,184,195,207,203,199,145,113,102,143,148,139,119,88,115,91,75,85,143,194,184,185,186,186,187,186,187,188,190,183,195,208,211,197,141,98,69,102,161,126,85,96,127,96,74,101,182,188,185,185,185,187,187,187,188,188,190,180,196,211,207,181,146,108,57,123,146,101,64,119,130,97,75,153,194,185,187,184,185,185,186,187,188,188,188,181,200,211,197,170,138,112,66,108,116,57,66,133,119,82,103,192,188,187,187,184,184,184,185,186,187,189,187,186,203,208,189,162,135,110,64,95,94,46,101,127,94,75,155,196,187,189,188,189,188,188,189,190,191,192,187,190,208,202,179,158,136,113,71,90,80,57,117,107,78,93,187,189,187,188,188,161,163,165,168,171,175,180,176,192,200,192,168,149,134,115,74,82,80,79,95,93,83,153,200,193,195,194,193,103,102,101,104,107,107,102,125,193,194,183,154,145,147,113,80,74,84,103,99,87,93,149,153,156,159,162,162,106,105,104,104,104,106,98,122,191,190,175,152,157,156,107,91,79,93,110,108,95,99,94,95,98,94,92,100,105,107,106,106,106,108,101,134,194,183,177,161,166,157,115,97,88,98,105,100,99,107,104,105,109,126,154,177,105,107,107,107,107,110,99,146,202,192,188,173,170,156,123,100,90,95,100,98,108,115,130,161,183,197,190,191
2,172,172,173,173,174,174,175,175,174,174,174,173,173,173,173,172,171,170,168,166,166,165,163,161,160,158,157,156,172,173,174,175,175,176,176,176,176,176,175,174,173,173,173,172,171,170,168,166,166,165,163,162,160,159,157,156,174,175,176,177,178,178,178,178,178,177,177,176,170,163,162,162,158,151,145,148,161,166,165,163,162,161,159,158,177,177,178,179,179,179,180,180,179,179,178,172,159,149,147,147,143,126,110,110,136,158,164,165,164,163,161,160,178,179,179,180,180,181,181,181,181,181,178,167,155,147,139,134,131,109,94,103,116,124,139,160,166,164,163,161,179,180,181,181,182,182,183,183,183,182,178,169,156,139,120,108,99,83,83,96,98,87,98,148,167,166,164,162,180,181,183,183,184,184,185,185,184,178,169,160,141,109,83,77,94,108,130,133,115,100,118,157,168,167,165,163,181,182,184,185,185,186,187,187,185,174,159,138,107,73,56,77,144,168,174,174,166,159,164,170,169,168,166,165,182,183,185,186,186,188,188,188,185,172,147,106,71,55,56,104,171,181,180,179,177,175,174,173,171,170,168,166,184,185,186,187,188,189,189,189,185,171,137,83,53,48,69,141,181,183,181,180,179,177,175,174,171,171,169,167,185,186,187,188,189,189,190,189,184,168,130,76,52,50,90,168,185,185,183,181,180,178,170,159,155,164,169,168,186,187,188,190,191,191,191,187,181,163,118,71,58,59,101,175,186,186,184,182,180,170,142,118,112,141,168,169,187,188,189,190,192,193,192,187,180,158,113,76,65,62,110,179,187,187,185,183,174,145,116,103,98,132,169,170,188,189,190,191,193,194,192,186,180,157,116,84,66,62,118,183,188,188,186,178,149,117,108,99,103,149,171,171,189,190,192,193,194,194,191,185,179,156,117,87,66,60,99,166,186,188,183,155,112,97,98,93,126,168,173,172,190,192,193,193,194,195,191,184,176,152,119,88,65,60,71,109,151,176,158,121,95,87,86,102,156,176,175,173,190,192,193,194,194,195,190,184,176,152,117,86,65,61,65,74,96,121,107,96,93,85,93,138,174,178,176,174,191,192,194,195,195,195,189,185,181,151,115,87,66,62,66,72,79,83,81,85,87,99,141,174,180,179,177,175,191,192,194,195,196,195,187,188,181,147,112,87,67,63,68,73,79,82,77,80,98,146,177,182,181,180,177,175,191,193,194,196,198,195,187,189,175,140,109,88,69,64,69,74,80,82,76,84,138,179,184,182,181,180,178,175,193,193,195,197,198,194,187,186,167,135,109,89,69,64,72,78,80,78,80,126,175,186,184,183,181,180,179,177,193,194,196,198,198,192,185,181,158,131,109,88,69,65,75,79,78,73,106,171,188,187,186,184,182,181,179,178,194,195,197,199,199,191,181,171,149,125,105,85,67,65,75,75,71,83,149,188,190,188,187,185,183,181,180,178,194,195,197,198,198,190,177,164,144,120,101,82,66,65,71,70,77,130,183,192,191,189,188,186,185,182,180,179,194,195,197,198,197,187,172,157,137,114,96,79,66,63,66,77,125,179,194,193,192,190,188,186,185,183,180,179,194,196,197,197,195,185,167,153,134,111,91,75,62,65,89,137,181,195,195,193,192,191,189,187,184,183,181,180,194,196,197,196,192,180,163,149,132,108,85,67,63,108,165,191,197,197,195,194,192,191,189,187,185,183,182,180,195,196,197,195,186,167,153,145,129,102,77,61,79,160,197,200,199,197,196,195,193,192,190,188,185,184,182,180
13,131,135,141,149,156,160,164,167,170,173,178,180,183,186,187,190,192,193,192,193,194,195,194,194,195,194,192,193,132,137,144,151,159,163,167,169,172,175,180,183,186,189,190,189,190,193,199,196,196,195,196,196,198,196,195,195,135,139,146,154,160,165,168,172,175,177,183,186,188,189,195,209,210,164,147,198,196,204,198,200,200,198,197,197,138,141,149,157,162,168,171,176,179,181,185,188,192,195,200,237,223,156,88,96,135,154,202,200,200,199,200,199,138,144,150,157,163,168,172,176,181,186,185,191,196,152,149,171,218,153,85,61,139,91,120,213,199,202,201,200,140,145,152,158,166,169,172,179,181,185,185,231,217,167,120,118,198,197,110,75,151,89,88,213,202,203,203,201,143,147,154,160,167,172,176,178,185,188,132,182,242,211,159,69,126,224,123,71,160,92,109,218,204,206,203,204,143,148,155,162,169,174,178,175,221,208,141,78,193,238,180,96,41,155,119,70,197,105,140,220,204,207,207,206,144,150,157,165,171,177,174,212,224,224,187,98,91,239,173,106,19,41,58,62,183,100,188,215,207,208,208,208,144,151,161,167,172,174,195,213,166,220,203,126,44,195,161,91,23,19,63,110,132,78,143,223,208,210,211,210,146,154,164,170,174,178,229,213,152,187,175,111,38,152,161,104,21,51,136,150,122,105,85,203,216,212,213,210,150,157,167,174,174,193,225,188,140,168,144,89,19,122,192,121,40,159,189,156,104,86,84,138,226,210,212,212,152,160,171,178,176,215,218,183,131,136,132,88,7,75,194,94,112,214,180,148,107,86,73,114,230,213,214,215,153,162,174,180,177,222,235,201,158,104,119,76,17,67,186,156,202,198,167,131,101,79,50,162,227,214,219,218,155,167,178,186,181,230,238,205,169,111,87,85,122,186,222,226,214,183,149,117,96,62,71,218,218,218,220,219,162,173,181,189,188,240,249,215,168,146,146,151,175,208,220,215,204,169,136,111,85,43,129,235,216,220,221,220,165,176,185,192,194,242,244,229,180,173,168,145,195,199,221,210,187,156,129,101,75,36,178,231,220,222,222,220,169,180,189,195,199,232,240,239,200,187,173,157,208,208,207,196,165,139,111,92,52,72,231,225,224,225,223,222,172,182,194,200,201,218,241,237,213,193,173,166,196,216,192,171,145,123,106,77,44,190,237,225,226,226,227,227,175,185,197,202,205,208,235,227,221,200,183,172,181,205,187,155,131,109,99,52,163,245,227,229,229,229,228,226,179,189,198,203,211,206,225,229,222,215,205,181,173,195,179,141,111,103,67,120,247,230,233,234,232,229,235,240,181,193,203,207,215,205,216,235,221,218,207,176,166,178,163,123,94,87,77,225,239,235,236,235,233,241,212,144,184,196,206,211,215,210,216,222,186,191,193,173,160,166,144,118,95,61,164,251,236,238,236,238,244,153,47,21,186,198,207,212,217,214,218,226,184,201,204,193,161,157,137,123,88,69,220,241,241,240,250,249,135,37,22,8,188,198,206,211,217,213,212,242,199,214,215,196,160,145,136,125,83,83,237,240,242,249,201,102,31,38,40,0,188,199,208,213,217,219,213,243,222,236,225,198,167,146,135,126,76,94,247,236,255,174,46,19,7,34,47,13,191,203,211,215,218,224,192,240,233,234,219,190,169,150,135,123,74,83,241,250,222,69,40,41,2,6,38,29,193,205,212,217,221,226,103,223,231,224,208,184,172,152,141,110,76,42,237,254,111,47,37,34,13,0,23,35
12,135,136,138,139,139,140,140,141,144,145,144,147,149,147,146,147,149,149,149,149,148,149,148,148,148,148,149,150,136,138,138,139,140,141,140,142,144,141,145,140,136,148,149,143,134,141,150,148,149,150,150,149,149,149,149,150,138,138,139,140,141,141,142,144,143,160,162,132,106,109,160,142,120,100,144,154,152,151,151,151,149,149,149,150,138,139,139,140,141,142,145,140,159,187,167,127,116,91,154,136,122,101,105,124,132,150,151,150,150,151,151,151,137,139,140,141,142,142,144,142,173,161,161,139,141,94,133,149,133,103,84,111,96,105,153,151,152,153,153,152,139,140,141,142,142,144,143,147,182,141,148,151,134,97,124,157,138,98,93,120,108,73,135,159,152,153,153,152,140,141,142,143,145,145,143,155,186,140,152,133,110,80,72,130,111,85,103,133,115,84,131,158,152,153,153,152,140,142,143,144,143,147,139,134,163,108,144,138,118,87,56,79,74,62,144,145,113,84,144,156,153,155,154,152,141,142,144,143,147,164,143,118,106,95,119,141,135,134,119,113,99,68,121,124,93,84,155,154,155,155,154,153,142,144,145,140,172,177,150,131,98,97,115,122,120,135,139,138,138,103,66,74,74,100,162,155,155,154,154,153,143,146,140,158,177,172,161,137,108,98,124,112,92,110,114,139,157,133,96,59,64,124,164,155,155,154,153,153,143,146,140,181,160,160,165,143,115,94,94,103,88,90,98,150,159,151,131,82,63,142,161,156,156,154,154,153,143,141,157,176,137,127,156,146,124,103,86,95,88,100,117,148,155,156,149,112,76,152,159,158,156,155,155,154,143,140,170,166,150,131,127,151,128,103,87,96,87,97,106,140,160,151,153,135,91,153,159,157,156,156,156,155,143,141,177,172,157,134,103,140,135,103,88,86,88,99,118,130,142,156,140,145,100,135,164,155,158,157,157,157,142,143,173,150,127,110,90,103,145,115,107,80,98,100,135,156,145,145,135,128,113,104,164,157,158,158,158,158,142,145,180,160,143,125,110,95,126,134,134,97,104,118,156,160,157,143,128,118,111,93,163,159,158,159,158,158,145,145,184,168,146,129,120,104,100,123,117,108,115,150,169,162,157,142,128,113,95,105,165,157,159,159,158,158,146,147,186,169,150,137,126,105,102,124,100,111,138,168,170,161,154,142,130,112,85,119,167,158,160,159,159,159,145,149,189,172,155,144,133,111,105,131,115,133,163,177,169,159,149,140,129,112,80,129,166,159,159,159,159,159,145,153,194,172,155,147,138,124,108,125,129,145,176,178,169,157,145,138,127,108,78,143,164,159,159,159,159,159,142,155,195,173,160,151,139,135,118,122,138,146,183,174,164,154,144,138,121,102,84,155,163,160,160,160,159,159,143,153,191,177,167,153,144,139,130,119,144,145,183,170,158,153,144,136,119,94,92,161,159,160,161,161,160,160,147,149,181,180,173,160,149,144,138,122,142,146,179,168,150,147,143,132,117,87,109,167,159,161,161,160,160,160,148,145,174,184,172,163,153,149,141,126,132,143,173,165,148,145,141,124,113,80,133,166,158,161,162,160,160,160,148,144,167,188,173,166,157,150,140,130,129,134,164,163,146,141,136,124,107,83,152,163,160,161,162,161,160,160,148,144,159,191,177,166,157,146,135,131,131,130,151,156,138,135,133,127,94,99,166,159,161,162,162,161,160,160,147,143,162,195,173,159,153,144,134,127,131,131,143,148,134,131,133,122,83,128,168,159,161,162,161,161,162,160
0,223,223,223,222,223,222,222,221,222,223,222,223,222,222,220,219,220,219,218,218,215,214,215,215,213,212,211,210,225,225,225,224,225,226,226,225,226,224,224,224,224,223,222,221,220,219,218,218,218,217,217,216,213,212,212,211,226,226,225,226,226,226,226,225,225,225,227,227,226,225,223,223,222,221,220,220,221,219,220,218,217,215,214,212,227,226,226,226,225,225,225,225,227,227,227,228,227,226,225,228,227,223,227,228,222,218,218,220,219,218,216,216,227,228,229,228,227,227,226,226,228,227,227,228,226,227,221,202,213,232,205,188,215,210,174,220,219,219,218,218,228,229,229,230,229,228,228,228,229,227,229,232,233,227,191,152,128,170,170,137,134,202,141,189,228,218,219,217,229,229,230,230,231,231,230,229,232,235,231,210,179,188,188,155,119,95,169,149,98,173,165,137,236,218,219,219,231,230,231,230,231,231,231,230,209,202,218,194,142,103,170,164,145,113,171,151,108,148,189,107,170,235,218,220,232,232,232,232,231,231,228,218,181,125,189,190,146,100,155,174,156,112,174,156,107,116,187,140,106,174,228,219,233,233,233,233,232,232,218,212,185,134,171,194,155,116,149,179,147,107,178,161,106,79,178,165,128,100,224,220,233,233,233,233,233,230,204,201,195,159,156,201,156,122,128,179,148,94,151,139,95,84,186,180,115,116,233,221,234,234,234,234,234,224,198,179,193,170,144,191,152,119,110,178,145,76,84,95,62,126,205,174,93,167,238,222,235,236,236,235,234,221,215,171,173,165,120,167,158,127,85,114,103,45,65,78,101,188,200,154,92,216,227,224,236,238,238,236,232,213,195,141,142,126,73,125,153,120,65,49,64,104,160,149,164,201,185,118,126,240,223,225,237,239,238,238,229,211,204,168,132,95,67,74,103,75,54,78,147,198,195,188,164,177,167,80,170,242,225,225,237,239,238,240,229,212,214,191,151,128,114,108,119,121,143,178,201,199,190,188,155,136,128,70,210,233,227,226,237,239,238,240,228,212,221,195,165,147,131,140,166,197,206,210,213,203,182,177,139,111,74,133,243,228,229,227,237,238,237,240,230,206,222,199,173,143,140,149,189,212,214,218,214,193,172,160,127,73,100,232,233,231,230,229,235,236,236,238,234,198,210,200,179,153,148,161,208,218,215,216,203,177,158,140,96,78,221,237,230,231,230,229,235,238,238,238,240,203,205,206,184,170,162,176,211,215,214,205,183,165,143,118,66,189,242,229,231,231,228,227,239,239,238,238,244,216,194,207,198,186,165,179,208,207,206,193,164,145,129,70,147,246,229,233,231,231,229,229,238,239,238,239,241,230,192,203,197,179,160,172,199,191,186,168,144,127,80,107,239,234,233,233,231,232,231,229,238,238,238,239,239,240,201,197,191,171,160,166,187,178,165,146,122,79,83,224,238,234,234,233,232,232,231,230,238,238,238,238,239,239,207,197,182,162,159,161,180,172,149,129,88,77,215,242,234,236,237,233,233,232,231,230,241,239,239,238,241,231,203,196,187,180,179,169,173,168,136,106,63,200,245,233,236,234,235,234,233,232,231,229,232,235,236,236,242,215,198,205,196,195,183,172,168,158,120,73,119,255,240,244,244,241,240,239,238,236,235,233,148,152,154,157,156,175,204,213,204,194,183,174,160,130,110,69,136,210,204,207,210,213,214,214,216,218,219,218,125,125,122,122,115,164,206,214,199,191,183,172,133,118,100,70,100,126,124,124,124,126,127,127,130,132,133,132
1,70,95,96,102,109,127,149,163,167,175,181,185,190,199,200,204,203,205,208,208,209,211,212,212,212,212,213,211,80,96,98,104,110,132,153,167,172,180,187,188,203,226,156,200,211,211,211,212,212,212,213,213,213,214,213,213,88,96,100,105,112,135,157,170,177,185,193,194,217,239,132,155,167,202,222,218,218,218,218,216,216,216,214,215,94,97,103,107,114,138,162,174,181,186,228,194,181,246,135,144,158,155,235,223,225,226,225,223,220,220,219,218,98,98,103,108,117,143,165,176,185,189,246,199,147,239,134,136,179,121,226,233,231,231,231,229,227,226,225,224,98,99,105,110,122,148,169,180,189,193,246,210,137,218,140,131,181,112,209,245,236,238,237,235,233,233,231,229,100,100,106,110,125,152,173,183,191,197,250,211,121,204,163,137,192,127,191,254,241,243,244,241,239,238,237,236,101,102,107,111,130,158,177,185,201,216,222,217,119,167,156,132,198,136,176,255,247,249,249,247,245,245,244,242,102,102,108,112,133,162,182,184,220,219,195,218,122,147,158,116,190,141,169,255,252,254,254,252,251,250,249,246,104,105,110,113,135,165,186,184,246,213,174,215,121,164,176,118,214,172,166,255,255,255,255,255,255,255,253,252,105,107,112,115,139,168,189,190,251,194,160,235,136,153,172,120,213,189,157,255,255,255,255,255,255,255,255,255,105,107,111,116,144,173,193,195,252,189,142,227,144,119,154,130,204,190,140,255,255,255,255,255,255,255,255,255,105,107,110,117,148,176,195,201,255,194,121,200,134,109,145,150,220,189,136,255,255,255,255,255,255,255,255,255,106,108,110,119,151,179,198,204,255,213,112,182,186,176,169,192,224,160,121,245,255,255,255,255,255,255,255,255,106,108,111,121,155,183,203,207,255,211,123,194,240,193,174,185,186,157,107,212,255,255,255,255,255,255,255,255,106,108,111,124,158,187,207,211,255,222,181,186,155,172,162,161,151,165,145,173,255,255,255,255,255,255,255,255,106,109,111,126,163,192,208,214,255,244,186,163,136,163,165,178,166,195,195,150,217,255,255,255,255,255,255,240,105,109,111,129,167,195,210,221,255,242,182,148,145,167,175,246,234,212,237,200,133,246,255,255,255,199,127,80,106,109,111,132,170,199,212,225,255,238,170,144,152,174,212,255,255,225,253,203,119,187,255,173,92,70,65,70,105,108,110,135,173,201,214,224,255,245,172,146,163,185,230,255,255,255,225,160,115,175,160,76,67,63,78,61,103,106,108,136,174,202,215,223,255,252,182,147,168,196,243,255,255,255,208,149,124,99,63,88,85,44,73,73,104,106,108,138,177,206,217,223,255,255,208,154,170,200,245,255,255,242,197,149,119,88,68,57,90,52,46,78,97,100,103,137,179,207,220,225,255,255,228,169,171,199,245,255,255,225,185,144,115,87,75,42,68,75,34,58,117,113,114,144,182,210,222,230,253,255,237,185,175,191,245,255,246,218,172,136,111,87,64,49,44,78,45,39,156,154,155,154,155,165,172,176,187,244,242,195,191,185,232,250,237,206,161,130,102,82,72,48,36,65,62,28,149,149,150,151,151,153,153,157,150,211,248,207,195,184,206,236,220,187,147,120,95,57,77,53,29,55,73,35,151,151,154,156,158,159,160,162,160,172,233,212,196,187,179,209,198,165,131,108,96,60,63,55,31,43,74,53,150,152,153,155,156,157,159,161,163,158,209,224,200,193,171,180,187,154,119,95,97,75,45,29,42,35,69,67
6,203,205,206,208,209,210,210,211,211,211,211,210,209,208,208,208,206,205,204,203,202,201,198,197,196,195,193,192,203,204,208,210,210,211,211,212,212,213,211,210,209,210,209,209,208,207,204,204,204,203,201,199,198,196,195,193,205,208,210,211,211,212,213,214,215,214,213,212,213,211,210,209,209,208,207,205,204,204,203,201,199,197,196,195,206,209,211,212,212,213,214,215,215,215,215,214,213,212,211,210,210,210,209,208,206,204,203,202,200,198,197,196,207,210,212,212,214,215,215,215,216,216,216,214,214,214,213,212,211,210,209,208,207,205,204,203,200,199,198,197,207,210,212,213,215,216,216,216,216,216,216,216,216,215,214,213,212,210,209,210,208,207,205,205,203,200,200,198,208,210,213,214,216,216,216,216,216,216,216,215,216,216,215,216,216,215,214,211,211,211,209,204,200,197,196,197,209,211,213,215,216,216,216,217,217,217,220,220,221,219,216,211,204,192,182,170,159,167,168,161,150,164,184,171,209,212,214,215,215,217,219,221,220,218,207,195,186,182,177,173,166,160,152,145,137,148,146,149,147,149,161,145,209,212,215,218,219,215,205,195,189,181,168,159,154,157,161,168,166,161,144,137,130,127,128,132,130,130,146,176,213,215,213,205,195,176,166,165,163,161,158,147,131,134,138,130,128,129,133,142,154,168,177,185,188,197,205,205,197,183,175,174,173,168,167,167,166,165,163,154,122,106,99,140,174,189,205,213,220,219,216,214,213,208,204,202,179,173,176,179,178,175,173,174,174,174,171,159,126,113,108,182,220,230,225,216,213,211,210,210,208,207,205,204,181,179,177,175,173,171,169,165,167,170,160,136,113,116,122,113,121,155,201,222,215,214,213,211,209,207,205,204,184,180,176,174,171,167,163,159,156,154,143,123,113,118,124,125,121,109,109,175,221,214,213,211,210,208,207,205,181,177,174,170,169,163,160,157,155,161,158,133,107,101,114,128,130,128,115,121,219,215,215,213,210,209,208,205,176,172,169,164,161,158,157,152,155,165,167,137,110,104,100,97,106,121,104,151,224,215,214,214,211,210,208,206,172,169,161,155,156,153,151,143,145,152,140,120,115,118,118,108,93,109,167,217,219,217,215,214,212,210,209,207,162,162,156,150,148,145,142,135,132,136,123,105,107,117,120,118,107,124,225,221,218,217,215,214,213,211,209,208,154,159,155,149,144,142,140,137,140,143,129,100,93,104,115,121,111,102,208,222,217,217,215,214,214,212,209,208,143,154,156,153,147,139,136,140,147,143,124,110,113,111,101,103,115,167,225,219,220,218,217,215,214,212,209,208,116,126,137,145,142,136,132,132,129,118,109,107,109,111,95,135,217,227,222,221,220,218,217,216,214,211,210,209,65,127,169,141,125,129,133,138,139,151,168,165,137,118,133,206,231,220,223,221,220,219,217,215,215,214,211,209,58,186,233,217,207,213,218,223,226,231,233,234,229,218,229,227,221,222,222,220,219,217,216,215,214,213,211,208,99,216,216,219,223,224,223,224,225,223,223,223,224,226,223,221,222,221,221,220,218,216,215,213,212,211,209,207,176,221,216,218,219,221,221,224,225,225,225,225,225,224,223,222,222,221,220,219,218,216,214,213,212,210,210,208,216,214,217,219,220,221,223,224,225,225,225,225,225,225,224,223,222,221,220,219,218,216,215,214,212,210,209,208,210,215,217,219,220,222,223,224,224,225,225,225,225,225,225,223,221,220,220,219,217,216,214,212,212,210,208,207
6,186,187,188,189,189,189,188,188,188,188,188,186,185,184,183,182,182,180,179,177,177,177,177,175,173,171,124,140,187,189,189,189,190,189,189,190,189,189,188,187,187,186,186,184,183,182,180,180,179,179,178,177,175,173,165,127,190,190,192,192,192,192,191,190,191,190,189,188,188,189,187,187,184,182,183,182,182,181,179,178,177,174,172,157,190,192,193,194,194,194,193,193,193,193,192,190,189,189,188,187,186,185,185,185,185,181,180,179,178,176,173,165,192,194,195,195,196,195,195,194,194,193,192,192,190,190,190,189,188,188,186,186,185,183,181,181,179,177,174,170,194,195,195,196,197,196,196,196,195,195,195,194,193,191,191,192,190,188,187,187,186,185,182,181,180,179,178,174,194,195,196,198,199,199,198,199,197,196,196,196,195,194,193,191,190,186,186,185,185,183,179,179,174,178,176,176,195,196,197,199,200,201,199,199,201,199,196,194,190,184,182,180,177,157,158,171,172,159,167,165,172,206,160,170,196,198,201,201,200,200,199,198,191,181,182,183,178,180,183,183,172,169,158,176,180,165,166,168,161,188,144,166,198,200,202,202,201,200,201,206,184,164,171,182,184,189,190,189,174,154,154,149,149,139,132,132,124,129,151,179,199,200,201,203,202,200,210,216,190,174,165,165,169,165,160,153,143,133,109,102,97,105,141,150,164,177,183,180,199,201,202,203,204,202,219,219,203,189,173,158,154,145,139,129,116,97,72,58,60,158,196,190,189,186,183,181,200,201,203,204,204,208,226,223,213,184,151,144,149,156,154,148,138,131,124,95,127,196,191,189,188,186,184,183,202,203,204,206,203,218,230,226,209,158,130,136,141,151,157,155,145,136,132,107,141,200,192,191,189,188,186,184,203,205,206,206,202,227,228,223,186,137,142,139,132,135,150,142,133,131,123,88,150,199,194,193,190,188,187,186,203,205,206,205,209,229,225,223,195,174,159,143,122,123,152,146,139,141,125,96,186,197,195,193,192,189,188,187,204,207,208,203,222,226,225,227,224,210,172,141,145,154,155,148,135,125,119,105,163,200,195,195,192,190,188,186,206,207,204,209,227,227,228,224,223,216,167,132,136,142,141,139,125,116,111,90,158,200,196,196,193,191,188,187,205,207,200,216,226,229,225,218,217,199,160,136,130,121,125,132,129,122,103,101,188,199,196,195,193,190,191,191,205,198,201,221,226,227,219,212,206,200,184,165,133,98,105,127,124,120,98,131,201,196,196,195,191,191,187,166,205,187,213,223,226,221,217,216,210,204,208,195,147,115,128,147,136,117,106,97,188,200,195,195,194,194,128,58,195,194,219,224,223,220,221,218,206,210,213,183,133,113,121,122,112,101,92,92,187,201,199,199,172,114,54,40,191,210,217,221,218,214,208,205,202,209,197,159,122,116,113,106,99,94,91,153,205,199,172,116,69,45,40,37,204,212,218,214,207,200,194,195,193,180,161,135,118,107,90,121,135,155,178,185,148,101,58,42,40,38,39,39,211,212,213,207,194,189,187,184,181,162,137,125,123,116,128,176,159,135,107,74,47,25,28,35,36,32,35,32,209,210,203,192,181,171,180,179,168,156,144,130,108,81,81,61,45,38,35,40,27,14,24,29,31,29,31,28,208,206,199,188,175,164,165,160,147,138,121,96,66,45,30,32,30,31,35,35,17,8,19,25,30,27,27,30,210,201,194,178,157,151,145,130,114,103,82,57,36,41,31,20,24,26,31,32,11,6,16,23,27,24,23,28
12,185,185,187,189,190,190,191,193,194,194,194,194,193,193,193,191,191,192,191,190,190,189,189,189,188,186,186,187,186,187,189,190,191,192,193,194,195,195,195,195,195,195,195,194,193,192,193,192,191,191,190,189,189,188,187,187,187,188,190,191,193,194,195,196,196,196,197,197,196,196,195,195,196,194,193,193,192,192,191,191,190,190,189,188,189,189,190,192,194,195,195,197,197,197,197,198,199,198,197,197,197,199,196,194,193,194,193,193,191,191,190,190,189,190,192,193,195,196,197,199,200,199,198,199,195,199,201,197,185,177,195,199,199,196,194,195,192,192,192,191,190,192,194,195,196,197,198,200,200,200,202,201,175,153,192,202,171,119,140,196,176,190,200,194,195,194,194,193,192,194,195,197,198,201,201,202,202,200,209,212,177,131,134,200,157,135,104,159,147,116,168,201,194,195,194,194,194,195,196,200,200,201,203,202,201,199,210,204,164,130,112,200,165,144,108,144,151,110,105,189,198,195,195,195,195,196,198,201,201,201,201,203,211,175,180,203,156,121,108,211,204,158,127,141,141,117,98,177,202,196,197,196,196,197,199,201,202,203,202,225,215,180,148,196,192,125,99,230,223,150,132,177,154,122,97,185,203,197,198,198,197,199,201,202,204,203,213,241,215,192,132,191,224,133,109,179,175,111,157,204,153,112,98,193,203,200,199,198,198,201,201,202,205,202,219,229,215,187,132,148,189,133,118,129,163,147,171,170,117,87,119,207,201,202,201,200,200,202,202,203,205,207,235,219,190,157,129,97,109,109,127,143,186,212,180,144,121,89,173,210,202,203,202,201,200,202,205,207,203,227,233,213,165,130,120,96,72,141,210,205,197,185,163,152,152,102,183,209,203,203,202,202,201,202,205,208,203,231,237,199,159,159,129,77,131,223,222,211,190,179,153,146,140,103,187,212,205,205,203,203,202,203,206,208,205,235,238,193,156,180,139,133,210,232,222,210,190,172,158,139,123,100,199,209,207,206,205,204,203,204,206,208,209,242,236,207,195,171,176,200,228,228,219,204,187,165,154,131,113,94,195,212,208,207,206,206,203,206,208,208,213,242,236,218,213,182,176,206,229,223,210,200,178,155,144,126,108,88,188,215,208,209,207,207,205,206,208,210,212,239,236,224,216,187,185,212,219,212,198,189,167,148,136,117,101,88,200,214,210,211,208,207,206,207,209,211,212,234,234,228,215,191,178,206,207,199,194,181,156,137,123,111,82,138,218,209,211,210,209,208,206,207,210,211,209,231,232,227,213,183,174,190,194,192,183,169,143,126,118,94,122,215,213,211,212,211,210,209,207,208,209,215,218,224,229,225,195,164,175,187,191,194,180,159,143,129,104,123,214,215,212,212,212,211,211,210,206,207,214,195,181,224,217,204,186,182,189,188,199,197,175,147,141,119,96,199,221,214,214,213,213,212,212,211,207,208,219,146,80,201,229,210,206,197,181,174,197,186,154,135,132,93,163,225,215,216,215,214,214,213,212,211,207,214,192,124,108,120,201,213,202,188,171,160,181,161,136,128,100,132,226,217,217,216,216,215,215,214,213,213,206,219,154,111,129,87,106,134,129,125,121,125,143,133,122,106,101,213,222,217,217,217,217,217,216,215,214,214,210,204,126,114,124,102,62,93,88,85,76,74,74,81,87,72,96,206,221,218,218,218,217,217,216,214,215,214,215,166,114,117,121,112,54,78,90,86,78,76,73,70,65,62,50,163,229,216,218,217,216,216,215,214,215,214
3,127,130,133,135,136,137,137,139,140,140,141,140,136,155,140,126,141,138,137,136,135,134,132,130,130,128,126,123,130,132,136,137,139,140,141,141,143,144,144,144,137,166,166,100,140,143,139,138,138,137,134,134,132,130,127,126,132,135,137,140,142,143,143,144,145,146,146,146,142,157,186,98,124,148,141,141,140,139,138,136,134,132,130,128,135,136,139,142,143,145,145,146,147,147,147,149,148,149,195,131,111,151,145,144,143,142,140,138,136,135,132,130,136,139,141,143,145,147,148,149,149,149,149,150,153,144,194,158,98,149,147,146,144,143,142,141,139,137,135,134,138,141,144,146,147,148,150,151,151,152,150,151,148,167,196,162,110,142,154,149,147,145,143,143,141,140,138,135,140,143,146,148,148,150,152,153,154,151,163,185,169,180,200,202,157,124,151,151,149,147,147,146,144,142,140,138,141,144,147,150,150,152,152,154,158,149,185,207,207,188,147,168,171,101,151,151,139,152,148,147,146,144,143,142,143,146,149,152,154,155,155,156,155,167,197,195,165,178,146,101,168,133,158,128,126,158,150,150,148,147,145,144,146,148,151,154,156,157,157,159,157,198,206,198,150,129,158,121,137,170,155,109,99,161,153,153,151,149,147,146,148,150,154,156,158,159,160,159,165,196,162,135,174,158,130,151,103,103,145,126,87,134,161,154,153,151,150,148,149,152,156,158,159,160,161,160,171,198,139,68,92,122,89,99,86,56,125,152,113,107,162,156,154,153,152,150,151,154,157,159,160,161,164,161,177,194,124,97,85,81,82,80,77,59,110,163,118,117,162,158,156,155,154,152,152,156,159,160,162,164,166,161,185,192,155,131,98,87,87,92,75,66,145,169,116,129,164,158,157,157,156,154,154,157,160,162,164,165,167,164,190,200,164,119,92,90,97,95,100,123,171,174,118,141,165,159,160,159,157,155,156,158,160,163,166,167,169,166,190,198,149,105,90,94,105,108,150,179,185,169,112,150,167,162,161,160,159,157,157,159,163,165,166,167,169,167,189,197,151,111,97,100,110,131,183,195,180,152,106,155,169,165,163,161,160,159,158,160,164,165,167,169,172,169,189,202,160,120,104,106,113,156,197,193,169,126,113,165,167,165,164,163,161,160,159,162,165,167,169,170,173,169,185,204,166,128,109,112,127,179,195,185,163,113,119,173,167,167,171,169,167,159,159,163,166,167,169,171,171,170,183,206,177,139,115,117,136,191,193,174,153,108,130,176,169,171,137,110,106,92,160,163,165,168,170,171,172,173,180,203,181,148,124,125,141,187,188,163,141,104,145,175,178,141,84,86,80,77,160,163,167,171,171,172,173,175,177,196,184,158,136,138,138,173,171,145,124,104,161,177,170,105,81,79,75,71,161,164,167,170,172,173,174,176,177,193,188,167,144,144,125,144,147,120,104,116,181,169,110,76,64,51,39,24,162,165,167,170,172,174,174,182,154,167,200,173,147,133,109,114,118,106,88,140,133,91,77,69,54,41,40,31,166,168,171,174,176,176,182,158,45,129,207,171,135,109,90,93,96,95,58,38,58,79,78,76,60,36,32,35,147,152,156,158,161,163,169,88,0,104,195,151,110,84,72,84,84,70,21,0,31,66,65,70,78,49,26,32,90,91,94,94,94,92,102,82,24,56,139,145,104,68,79,88,69,37,0,12,54,49,50,54,74,67,34,25,89,87,93,92,89,91,95,101,77,62,86,129,99,74,90,79,55,32,15,34,57,35,32,44,62,73,49,25
1,194,196,198,200,200,202,203,202,202,203,204,204,206,206,206,206,206,206,204,205,205,206,205,204,203,205,203,203,197,201,204,203,205,205,205,206,207,209,208,208,208,210,208,209,208,210,211,208,207,207,208,208,207,205,204,204,203,206,206,207,209,210,210,211,211,212,213,214,213,212,215,213,215,203,202,215,212,212,211,210,209,207,207,206,208,211,210,213,213,214,214,215,216,218,218,217,219,219,180,206,235,197,145,224,216,215,215,214,212,212,211,211,211,215,215,218,218,217,218,219,218,221,223,220,230,233,139,199,241,182,138,222,212,222,218,217,215,215,214,213,215,218,219,222,222,222,222,225,223,224,221,211,243,218,139,212,236,158,160,221,155,204,227,220,220,219,219,218,218,220,221,223,227,227,226,228,227,232,214,165,221,196,143,231,230,143,181,233,139,183,236,223,223,222,221,221,222,223,224,228,230,229,230,230,228,243,211,147,199,192,153,242,234,152,203,235,139,184,240,226,227,225,224,224,225,227,229,231,234,234,232,235,232,245,189,148,196,182,164,233,217,150,222,230,132,190,240,230,231,229,229,228,228,229,232,234,236,237,236,237,235,252,185,159,182,165,145,225,192,146,239,231,139,204,242,236,235,233,232,231,230,232,236,236,238,237,239,240,238,252,174,153,182,175,135,243,186,163,249,214,142,218,243,238,237,237,236,235,233,236,237,239,239,240,240,241,244,255,186,139,183,177,139,247,181,179,249,201,139,232,245,240,239,238,237,236,235,239,241,242,243,244,244,242,246,255,191,124,162,144,127,219,150,209,254,202,149,246,246,244,242,241,240,238,237,239,243,245,245,246,246,244,251,255,195,152,196,212,191,219,196,182,235,189,163,255,245,246,245,245,244,241,241,243,243,245,246,248,248,246,255,254,206,174,155,215,245,237,236,170,171,171,178,255,248,249,247,246,245,244,242,245,245,246,249,250,250,250,255,240,190,159,128,137,174,200,252,228,147,111,203,255,249,251,249,248,247,245,245,246,249,250,251,253,253,253,255,243,190,147,137,142,146,192,255,255,191,104,226,255,252,253,252,252,251,248,245,248,251,253,253,255,251,255,255,237,183,153,152,159,206,232,229,254,212,131,234,255,254,253,252,252,252,252,247,249,251,254,255,255,252,255,255,233,189,153,166,170,239,255,232,208,187,130,195,255,254,255,255,254,253,253,248,249,252,255,255,255,254,255,255,236,194,169,169,200,255,255,223,195,152,114,203,255,255,255,255,255,255,253,251,252,254,255,255,255,255,255,255,236,195,183,167,220,255,255,208,177,139,110,236,255,255,255,255,255,255,254,252,254,255,255,255,255,255,255,255,236,207,193,169,217,255,246,195,163,123,135,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,238,213,206,164,221,255,224,181,148,111,202,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,242,215,205,164,231,247,212,175,131,126,255,255,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,255,243,222,192,166,223,212,193,161,113,172,255,255,255,255,255,255,255,255,255,254,255,255,255,255,255,255,255,255,255,233,188,179,211,190,180,149,112,233,255,255,255,255,255,255,255,255,255,254,255,255,255,255,255,254,255,255,255,233,196,194,198,183,169,123,167,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,239,241,223,193,190,175,170,135,129,250,255,255,255,255,255,255,255,255,255,255
5,140,141,142,143,146,146,146,146,147,146,145,146,146,144,145,144,144,143,142,141,139,139,138,137,136,136,135,134,142,143,144,145,147,147,147,148,147,147,147,146,149,147,146,145,145,145,143,142,141,140,140,139,138,137,135,135,143,145,146,147,148,149,148,148,150,149,148,156,122,141,149,147,147,147,146,144,143,142,141,141,140,138,137,137,146,146,147,148,149,150,150,153,152,150,153,164,97,120,155,148,148,147,146,145,144,143,143,142,141,140,140,138,147,147,148,150,149,156,152,125,157,150,159,160,85,122,155,149,150,148,147,147,146,145,145,143,142,142,139,138,148,149,149,153,149,168,138,92,156,151,162,139,79,142,155,152,151,150,148,149,149,147,146,145,145,144,142,140,149,150,153,151,154,174,106,97,160,154,154,121,87,156,154,154,152,149,158,129,136,151,147,147,146,145,143,142,150,151,154,152,166,154,74,137,163,149,137,106,97,159,156,152,150,161,153,92,118,157,149,149,147,146,144,144,152,152,155,151,179,150,77,156,161,138,125,83,119,165,143,143,148,134,91,97,148,153,152,151,149,147,145,145,153,154,155,155,189,139,80,158,157,132,115,75,146,127,131,150,109,76,112,151,155,152,153,152,150,148,147,146,154,156,157,161,187,112,80,169,138,136,120,85,103,98,119,106,78,125,164,155,154,154,153,152,151,149,148,147,155,157,159,160,181,159,84,137,128,126,104,76,78,91,71,89,137,162,157,157,155,154,153,153,152,151,149,147,157,160,162,160,176,176,110,84,100,104,81,69,90,80,88,160,163,158,158,158,156,155,155,154,153,152,150,148,159,160,163,163,170,175,147,106,93,96,76,67,91,81,145,169,160,160,159,158,158,156,156,155,155,153,151,150,161,162,164,165,166,193,176,135,93,82,82,79,77,135,163,147,151,163,164,162,160,159,157,156,155,154,152,151,162,164,165,166,167,193,175,128,88,75,73,83,84,117,117,125,131,135,144,150,155,162,159,157,157,155,154,152,164,165,167,168,173,191,167,122,78,70,69,83,88,95,124,129,154,148,146,150,151,118,150,162,157,156,155,153,166,166,169,166,181,191,174,130,84,65,66,82,90,87,103,82,113,134,130,143,141,103,138,166,158,157,156,155,166,168,170,168,190,186,172,123,89,68,65,75,75,69,88,92,140,142,126,142,165,124,117,167,158,158,156,155,167,170,168,179,190,179,168,120,89,64,59,68,61,128,173,168,176,171,164,170,137,91,157,164,161,160,158,155,169,170,168,191,184,180,166,121,82,63,62,75,82,92,151,181,165,139,142,152,80,122,175,162,163,161,160,158,169,169,175,195,181,178,159,105,76,60,72,79,87,93,97,131,137,148,142,114,55,151,171,165,164,162,160,159,172,166,194,191,176,177,145,95,76,67,90,103,111,108,93,103,133,141,125,72,84,168,169,167,165,164,162,161,171,90,118,184,186,164,131,95,76,79,100,111,113,102,97,98,124,107,77,109,168,171,170,169,166,165,163,161,106,63,59,87,155,156,125,101,77,85,107,104,99,85,94,84,70,86,146,179,172,171,171,170,166,165,164,162,71,66,65,58,63,96,111,84,65,74,95,92,85,77,70,60,104,172,180,173,173,172,171,170,168,166,165,164,74,63,59,62,58,54,44,40,44,51,62,72,66,57,109,160,184,178,174,176,176,174,172,170,169,166,165,165,64,58,57,56,52,58,35,25,34,33,36,39,52,127,187,183,178,178,177,177,176,175,173,170,170,168,165,165
0,196,197,199,199,199,200,200,201,200,200,200,200,200,199,200,200,200,199,198,197,198,198,195,194,194,195,194,193,199,200,200,201,201,201,201,201,201,200,200,202,201,201,202,201,199,200,201,200,198,200,199,194,195,197,197,195,201,203,204,203,204,205,204,204,202,204,203,202,202,203,204,206,202,201,202,203,201,195,186,200,197,198,197,197,204,206,206,204,206,206,206,206,206,205,206,206,205,205,187,168,193,199,175,162,197,201,132,195,200,198,198,199,205,206,205,206,206,207,208,208,207,207,195,176,197,219,192,148,123,184,172,146,127,180,145,148,210,198,199,199,205,206,207,207,208,208,208,208,208,225,201,155,163,222,192,173,120,177,180,170,120,109,187,129,166,202,203,201,206,208,208,209,209,208,212,185,177,231,206,181,164,218,193,181,117,183,184,165,131,77,167,168,130,137,205,200,206,208,208,210,207,216,229,202,152,196,225,186,154,226,201,176,105,191,182,142,137,58,115,187,162,97,178,208,208,209,210,212,209,226,227,216,191,150,228,191,140,220,206,169,102,159,167,121,121,47,127,200,179,114,160,213,209,211,211,211,217,218,215,225,198,127,203,202,133,191,206,155,101,103,137,111,101,49,167,204,182,117,150,216,209,210,211,209,218,203,163,193,169,112,161,185,126,141,170,126,106,69,98,119,89,75,181,199,175,113,140,216,209,211,212,211,215,219,175,180,144,92,129,155,114,100,135,112,89,57,136,180,156,151,173,184,168,107,136,217,210,213,215,214,218,231,199,185,146,108,113,136,115,80,113,130,127,174,205,191,181,169,149,155,160,113,125,218,213,215,216,214,225,226,194,170,152,124,87,145,145,66,119,201,217,219,204,187,173,159,142,130,141,120,118,215,214,215,217,212,232,242,220,198,171,136,108,140,138,145,210,228,220,209,198,183,168,152,131,121,125,110,134,217,216,216,218,215,234,245,227,203,180,173,173,168,190,223,229,220,214,202,192,178,160,141,122,116,120,102,183,217,217,217,219,215,239,251,229,206,187,182,181,196,212,218,225,220,205,200,183,166,154,131,117,122,105,157,219,212,216,218,221,218,241,255,236,218,205,194,196,209,218,222,222,210,201,195,173,157,142,123,120,108,125,218,215,215,217,217,220,216,239,255,244,227,210,200,198,211,223,220,213,198,189,184,164,146,131,122,116,101,191,221,214,215,218,218,221,219,232,255,251,237,213,198,191,197,204,200,201,184,168,168,147,133,129,118,100,170,222,215,217,217,220,221,222,222,224,247,245,231,214,197,189,195,198,201,198,180,160,157,136,126,118,110,171,221,216,218,219,217,221,221,223,223,221,233,233,216,203,184,188,195,190,199,192,176,164,151,132,112,113,190,224,218,218,219,219,218,221,223,223,224,224,229,216,212,207,196,209,199,174,193,190,168,153,141,119,97,189,227,218,219,219,218,220,219,222,223,224,224,224,228,224,231,223,212,210,201,166,182,189,162,143,131,91,145,231,219,223,222,221,221,220,219,223,224,224,224,224,230,243,240,228,202,200,196,159,179,175,155,139,118,92,199,229,221,223,223,220,221,222,221,222,223,225,225,224,222,251,240,225,193,196,192,165,172,160,152,137,103,106,221,224,224,224,222,221,223,222,222,223,223,225,225,224,218,245,232,216,188,197,200,162,153,158,146,134,99,119,232,223,226,224,223,223,224,222,221,223,223,224,225,224,221,243,222,208,187,197,196,150,160,156,142,131,98,122,231,224,225,224,224,223,224,223,222
14,176,176,176,178,178,178,179,178,178,178,177,176,176,175,173,173,172,170,169,168,166,165,164,163,162,159,157,156,178,177,178,179,180,181,181,181,181,180,180,179,178,177,176,175,174,172,170,171,170,168,166,165,164,163,162,160,179,180,180,182,182,184,184,183,183,182,182,181,180,178,177,176,176,174,172,172,170,169,168,168,165,163,162,161,180,182,183,184,184,185,184,184,185,185,183,182,184,180,177,177,176,176,174,173,172,171,169,169,168,164,163,162,182,183,184,185,185,186,187,186,187,189,188,182,173,184,185,185,179,177,177,176,174,172,170,170,169,167,165,164,184,185,186,187,187,188,190,189,186,172,163,154,108,121,129,157,177,182,182,177,176,174,172,170,171,169,166,164,186,186,187,190,189,190,191,184,162,142,118,93,67,75,96,103,127,141,164,181,178,177,175,173,173,171,168,166,187,188,189,189,190,190,191,180,149,107,76,66,69,63,81,95,107,89,123,193,177,178,176,174,172,172,170,168,187,189,190,192,191,186,180,159,116,59,53,56,57,54,58,62,80,64,83,164,183,178,177,176,173,172,171,169,188,190,192,193,192,176,163,129,77,58,51,51,55,55,58,58,65,76,75,84,177,181,179,177,176,175,171,170,190,191,192,193,191,170,147,87,60,63,57,56,56,52,54,57,58,75,68,97,191,181,180,178,177,175,173,172,193,192,193,193,193,178,151,82,58,56,56,62,55,76,166,151,156,86,69,78,154,189,181,179,177,177,175,173,192,195,195,195,194,178,152,93,55,52,53,62,50,146,208,197,202,176,116,83,92,122,170,182,177,177,176,173,193,194,195,195,194,179,149,89,62,64,56,45,120,203,192,193,190,198,177,105,109,88,145,189,178,178,177,176,194,195,195,197,194,184,154,96,74,71,62,67,193,198,197,195,194,192,127,110,109,87,163,187,180,179,178,177,195,196,197,199,195,186,163,116,85,68,57,82,200,196,198,195,200,159,105,111,95,97,189,184,182,180,179,178,195,198,199,198,191,185,168,121,92,69,50,110,215,197,196,200,188,108,98,106,76,135,195,183,184,182,181,178,196,198,200,198,187,187,167,128,98,70,55,79,172,198,205,200,140,101,90,92,64,173,190,186,185,183,181,178,195,198,200,197,188,184,166,130,96,70,66,63,73,98,166,146,99,109,100,64,128,197,186,187,186,184,182,179,197,198,200,196,188,191,169,129,103,75,65,71,79,81,86,84,93,102,78,109,199,190,188,186,185,185,182,180,197,198,202,194,187,196,168,128,102,77,63,71,80,87,91,85,89,91,88,191,194,190,189,187,185,184,183,182,198,199,202,191,190,193,162,123,105,80,63,71,80,83,91,92,82,66,164,202,192,191,190,188,186,185,183,182,199,200,202,190,190,187,158,123,110,85,63,71,83,87,90,91,66,111,204,193,193,193,191,189,187,185,184,182,198,200,202,189,192,180,152,126,111,85,63,74,87,92,92,76,82,199,198,195,194,193,192,191,189,186,184,183,199,200,202,188,187,168,146,121,107,83,62,74,88,88,86,54,139,211,195,198,196,193,192,191,190,187,184,183,200,201,201,188,180,166,144,119,104,83,64,72,84,85,66,80,202,199,198,198,197,194,193,191,189,188,185,183,200,203,200,188,173,164,138,113,97,80,65,70,78,74,56,171,209,199,199,198,197,194,193,192,190,188,187,184,199,201,200,188,168,159,134,110,90,75,63,67,67,54,148,213,200,201,200,198,197,194,194,192,190,187,186,184
13,197,198,199,200,200,201,202,202,201,201,201,201,202,201,200,199,199,199,197,197,196,195,194,193,193,193,192,191,199,199,200,201,202,203,204,205,204,203,202,202,203,202,202,200,199,199,198,199,197,197,195,194,194,193,193,192,200,201,202,202,204,205,205,206,206,204,204,203,204,202,203,202,200,200,200,201,199,198,197,196,195,195,194,193,201,203,204,204,205,206,205,205,205,205,206,204,204,205,205,204,203,205,203,201,200,198,199,198,198,197,195,195,202,204,204,205,206,207,206,206,206,205,206,206,206,206,204,204,190,181,202,202,200,207,201,199,199,199,198,196,203,206,207,207,207,207,209,208,208,211,209,209,204,205,209,202,168,122,137,199,172,165,199,202,199,200,200,197,205,206,208,207,209,211,209,213,201,182,208,213,182,161,201,192,162,126,102,160,157,113,140,207,200,200,200,199,205,207,209,211,210,210,214,222,202,147,159,207,180,140,184,199,158,136,102,148,152,130,106,181,208,200,200,200,207,209,211,212,212,209,236,227,202,156,156,203,172,145,199,222,170,136,112,174,162,138,95,173,211,201,202,201,209,211,212,212,212,212,242,230,206,157,166,207,168,140,225,227,166,127,143,203,160,125,99,184,209,203,202,202,210,211,213,213,211,231,241,218,208,151,161,203,173,128,175,200,140,118,129,154,125,102,107,200,208,205,205,204,211,213,214,212,221,240,217,194,171,127,158,199,165,131,89,115,141,135,126,125,129,104,132,214,206,206,206,205,212,213,214,211,235,238,205,166,137,112,152,169,148,110,71,84,124,121,141,160,161,133,145,218,206,208,207,206,213,214,215,215,248,245,226,188,158,107,135,146,126,125,150,183,187,179,181,169,177,159,126,204,212,209,209,208,214,216,215,224,253,241,227,216,191,142,139,174,190,217,222,214,207,198,190,158,149,146,117,177,219,210,211,209,216,217,215,229,252,240,231,220,194,182,186,215,227,220,213,207,201,188,177,160,141,143,122,155,222,211,212,210,218,218,215,232,250,241,231,219,200,199,209,219,227,217,211,207,199,185,169,160,146,140,120,138,221,212,212,211,217,217,215,233,248,239,231,218,203,201,209,217,228,218,212,207,191,174,164,153,137,133,104,161,221,212,212,212,218,218,216,228,245,238,228,210,195,193,204,212,216,213,208,196,178,166,155,140,129,102,136,219,214,214,213,213,217,221,228,226,234,229,211,193,187,199,205,207,201,203,199,185,173,157,140,127,101,109,210,219,215,215,214,213,225,203,162,215,226,215,206,199,194,204,209,201,192,186,180,165,149,134,118,95,114,202,222,216,217,216,215,213,225,156,93,137,230,227,223,220,202,194,205,194,173,160,163,147,129,107,111,160,215,222,218,218,217,217,216,214,179,120,127,109,149,221,227,220,201,183,191,178,154,145,144,122,97,137,211,229,220,218,221,219,218,218,217,216,134,117,118,119,107,133,180,178,175,172,185,163,142,134,119,97,168,227,225,219,222,222,220,220,219,218,217,217,126,118,113,114,121,81,88,103,103,106,119,120,116,111,92,175,237,223,222,223,223,222,220,221,220,219,218,217,120,113,112,110,119,101,68,95,94,87,83,81,82,84,83,189,227,226,224,224,223,222,221,222,221,219,219,217,116,114,110,107,115,108,62,83,91,84,84,82,80,76,59,95,228,224,223,224,223,222,221,221,221,219,218,217,115,111,110,101,111,104,61,75,85,82,82,79,80,73,56,173,233,221,224,223,222,221,221,220,219,218,217,217
20,116,120,124,128,130,134,138,139,142,143,144,146,143,147,147,143,145,144,144,143,140,138,138,137,134,132,131,130,117,122,127,131,133,138,141,143,145,146,147,146,152,130,137,152,146,147,146,145,144,142,140,139,137,137,135,134,120,126,130,133,139,143,145,146,148,151,153,145,184,105,80,156,150,149,150,148,147,145,144,143,141,141,139,137,123,129,133,138,142,146,147,149,152,155,155,150,194,115,86,108,122,158,150,151,149,147,147,144,144,144,142,141,126,131,138,141,144,148,151,154,156,156,158,154,191,110,123,128,80,165,152,155,154,152,150,149,147,147,146,144,129,135,141,145,146,150,155,158,159,160,160,158,199,129,127,152,64,158,158,157,156,155,154,153,152,151,150,146,134,139,143,147,149,153,157,161,162,163,164,161,206,143,120,175,67,148,165,160,159,158,156,156,156,154,153,150,137,142,146,150,153,156,161,164,164,164,169,168,202,131,117,185,76,134,173,163,162,160,159,158,157,156,155,153,140,145,148,152,157,161,164,164,172,176,149,170,224,139,125,189,85,120,176,165,165,164,162,162,160,159,157,155,142,147,151,156,159,163,165,164,181,212,154,135,168,132,113,207,104,112,180,165,167,166,166,165,163,162,159,157,144,149,154,158,162,162,172,214,147,135,188,131,80,73,76,183,109,104,181,168,170,169,167,166,167,164,162,161,146,151,155,159,165,163,189,186,172,123,182,176,171,137,75,117,104,94,184,172,173,172,169,167,167,166,165,163,148,154,157,163,168,166,188,170,135,118,134,170,189,187,101,48,71,85,184,173,173,173,171,169,167,167,167,165,150,156,160,164,169,171,182,200,158,97,52,51,88,183,139,57,24,76,186,175,176,176,174,172,171,170,168,168,152,156,164,168,171,175,178,218,171,105,63,49,38,164,184,100,23,59,186,180,179,177,176,175,174,172,168,168,153,160,166,169,174,177,181,209,168,114,73,85,104,177,211,144,61,42,180,184,181,179,179,176,176,174,171,168,157,163,167,171,176,180,183,221,181,117,98,88,142,219,204,150,95,39,175,188,182,180,180,178,177,176,173,171,158,164,170,175,179,183,186,226,186,128,108,110,179,226,179,121,78,39,179,187,184,183,181,181,179,177,177,174,159,166,171,174,181,184,187,225,196,149,130,119,203,214,155,97,47,62,194,186,186,185,184,184,182,180,178,174,162,169,174,178,182,184,187,218,198,150,140,127,212,202,140,87,37,73,202,187,190,187,185,185,184,183,178,175,164,171,175,181,183,188,188,207,199,154,155,133,203,184,122,76,29,80,204,189,192,190,187,185,184,183,181,178,164,171,178,182,186,188,190,200,204,172,171,133,193,165,102,62,20,103,208,190,192,192,191,187,185,186,182,179,165,173,179,183,187,189,194,198,205,179,173,125,174,139,81,56,19,136,208,193,193,192,191,189,189,187,184,181,166,173,180,183,187,191,195,198,214,174,139,102,155,112,87,59,34,183,202,197,196,193,192,191,191,188,185,182,168,174,181,184,189,193,195,200,219,185,136,125,152,99,107,37,98,212,198,200,199,196,195,193,191,191,187,183,168,175,181,185,190,194,193,205,227,203,168,159,132,93,92,23,165,209,198,201,200,198,195,195,193,192,189,186,167,173,177,184,189,194,188,205,208,179,177,157,118,86,60,51,197,202,199,199,198,195,195,194,193,191,189,186,167,173,179,185,189,196,184,213,199,156,154,140,96,71,32,89,210,201,201,200,199,197,195,192,192,191,189,185
10,76,110,100,43,67,88,90,95,100,108,120,125,131,136,139,142,143,144,146,149,152,154,155,156,158,159,160,160,81,114,93,41,73,89,92,97,101,108,121,127,132,136,139,143,144,145,150,150,153,154,156,157,158,160,161,162,90,116,85,41,78,89,92,97,102,111,122,127,134,138,141,142,149,146,139,153,154,155,157,158,160,160,162,164,101,118,78,43,82,89,94,98,102,113,124,128,134,139,143,141,164,146,115,154,154,155,158,159,160,161,163,165,107,117,69,48,85,90,94,99,103,115,125,130,136,140,143,142,167,154,113,151,156,156,159,160,161,163,165,165,110,119,61,54,87,91,95,100,105,117,125,131,136,140,144,143,164,158,109,143,159,157,160,161,163,164,165,165,114,119,53,58,88,90,95,100,106,119,127,133,136,141,144,145,159,165,119,129,163,158,160,162,165,165,166,167,118,115,47,64,89,91,96,102,107,119,130,134,138,142,146,146,154,166,127,113,164,159,161,163,165,166,167,168,122,110,43,70,90,92,95,101,106,142,130,109,138,142,145,148,152,160,136,103,154,163,162,164,166,167,168,169,126,103,41,75,90,90,103,106,111,153,124,95,117,147,145,148,150,168,150,100,137,166,162,165,167,167,169,170,130,95,42,80,86,105,152,108,100,137,138,108,95,141,147,150,148,181,164,107,121,168,162,166,167,168,170,171,132,84,44,84,89,104,130,96,83,110,152,128,92,123,155,149,149,178,155,116,109,168,163,166,168,170,170,171,131,75,46,86,91,94,103,102,89,98,150,130,100,91,129,151,155,167,148,121,100,162,166,166,170,171,171,172,132,65,52,91,91,96,101,106,107,99,146,133,103,88,86,118,154,151,144,129,97,154,169,167,170,172,173,174,131,57,59,93,93,97,102,107,117,122,161,151,117,94,85,84,110,125,136,129,99,148,170,168,170,172,173,174,126,50,63,92,93,97,103,106,115,147,176,160,134,101,87,76,86,101,122,125,95,140,173,168,171,172,173,175,121,45,68,93,93,97,102,107,163,170,167,166,146,117,95,86,90,106,113,117,91,126,175,169,171,173,174,174,113,43,75,95,94,99,99,121,184,174,167,165,157,136,106,92,92,99,108,108,87,122,176,168,172,174,175,175,104,43,79,94,94,98,100,118,187,174,167,172,158,140,106,90,86,92,102,99,82,144,175,169,173,175,175,176,94,42,83,94,95,99,103,109,161,132,172,177,153,133,103,91,87,95,104,94,100,169,171,173,173,174,176,176,82,43,86,95,95,100,104,108,132,115,188,166,145,131,109,97,90,95,101,88,133,174,169,173,173,174,176,176,71,48,90,94,95,100,106,105,155,170,185,168,142,128,113,100,94,94,96,93,161,171,171,172,174,174,176,177,61,52,92,93,95,100,104,111,181,185,184,160,144,118,113,102,97,93,86,118,173,170,173,173,174,175,177,178,54,58,93,93,95,101,101,123,193,183,176,151,141,112,107,104,99,90,87,156,171,171,173,175,175,176,178,179,46,61,94,93,95,101,102,122,192,185,167,143,131,109,103,102,101,84,114,172,169,171,173,174,175,176,178,179,42,66,95,93,96,102,102,124,195,178,163,137,126,109,102,99,96,79,142,173,169,171,172,174,175,177,178,179,42,71,96,94,96,102,102,128,186,167,166,144,134,115,100,95,87,85,156,169,170,171,172,174,177,178,179,179,43,74,96,94,97,102,105,119,162,164,171,161,143,118,99,90,79,96,166,168,170,172,173,175,177,178,179,180
2,209,210,209,210,210,209,211,211,210,211,212,211,210,210,209,209,210,207,209,209,207,207,207,207,205,205,204,202,212,212,212,212,212,212,213,213,212,214,214,212,213,213,214,215,213,214,209,208,206,208,208,207,207,205,204,204,214,213,214,213,214,214,214,214,215,215,215,214,210,205,195,192,169,185,224,215,211,209,208,207,207,206,205,206,215,215,215,216,216,216,215,214,216,216,213,200,174,148,126,108,98,132,194,182,206,212,210,210,210,208,207,207,218,217,217,218,217,218,216,217,211,210,191,150,116,102,98,78,77,87,123,102,199,216,212,212,212,211,211,210,218,219,220,218,219,219,219,212,202,182,139,100,79,73,69,71,76,91,97,101,198,217,213,213,214,212,210,211,219,220,219,219,220,219,218,204,198,137,85,71,66,68,77,66,67,76,90,96,110,219,214,213,213,213,211,213,220,220,218,218,219,221,215,208,176,112,67,57,68,72,72,67,80,93,96,101,166,223,214,216,215,216,215,214,221,221,221,220,221,222,212,207,147,89,63,72,71,59,76,90,79,81,120,196,222,216,218,218,213,199,209,216,222,221,222,221,223,221,212,200,144,93,67,79,64,76,86,74,109,192,219,224,218,219,221,215,194,154,168,224,222,222,223,223,227,216,216,196,143,97,77,64,70,95,89,153,218,228,220,219,220,221,218,191,190,123,177,225,224,224,224,226,217,203,223,191,138,94,80,60,85,80,140,243,221,221,222,221,221,223,202,184,169,115,215,219,227,226,224,229,205,192,225,192,150,103,74,65,82,78,201,229,222,224,224,222,223,224,187,191,129,132,230,216,227,227,226,232,202,189,229,197,165,112,72,74,71,130,238,222,226,226,224,224,226,207,179,179,118,144,232,218,227,227,227,233,199,202,236,203,171,127,80,76,63,172,243,229,232,231,227,229,208,187,192,177,104,143,235,219,227,227,227,235,200,212,239,204,176,138,86,75,67,166,231,203,197,207,220,212,186,194,189,143,100,203,225,222,228,229,229,233,198,217,239,201,177,150,93,70,81,99,130,141,149,154,162,152,177,183,151,103,192,229,221,223,229,230,230,234,197,217,236,203,183,154,101,73,86,112,144,165,166,146,143,135,144,145,97,182,233,222,225,224,229,231,230,233,195,218,233,210,188,154,105,91,97,140,156,172,160,142,123,119,120,90,162,237,222,227,227,225,230,231,232,230,198,218,230,213,186,153,115,104,95,140,148,159,155,134,114,111,82,129,237,226,227,227,226,226,232,232,235,229,204,221,226,215,183,149,123,113,96,127,139,142,142,125,111,86,107,220,233,227,229,228,228,227,233,233,235,227,212,225,223,221,184,144,126,112,95,123,124,125,121,109,89,142,222,234,229,229,229,228,228,227,235,234,236,224,218,228,219,214,173,129,114,103,93,119,109,115,99,95,182,238,233,230,229,229,229,228,227,227,234,233,235,220,220,227,215,203,159,112,104,98,98,112,101,93,103,199,242,230,232,231,230,231,230,229,229,228,232,232,234,221,213,218,214,208,170,108,108,109,104,105,77,124,219,239,233,233,234,232,231,232,230,228,229,228,233,233,233,221,216,209,214,219,187,105,115,116,113,81,121,235,233,231,234,232,231,231,231,231,229,226,227,227,232,235,227,222,230,217,220,221,194,108,117,122,108,111,226,236,233,234,233,233,232,232,231,231,229,228,227,226,233,236,225,225,228,227,222,217,192,116,110,118,99,178,244,232,235,235,235,235,232,232,233,232,229,230,228,227
18,221,221,221,221,222,223,224,224,224,223,224,224,223,223,222,221,222,222,223,223,222,221,219,218,216,215,214,211,221,222,223,224,223,223,225,225,225,225,224,224,224,222,223,223,223,224,223,223,222,220,219,220,217,216,215,215,224,224,225,225,225,226,225,225,224,224,225,224,225,225,225,224,225,227,223,226,222,220,220,220,219,217,216,216,225,226,226,227,227,229,227,227,225,224,226,226,227,225,225,226,225,233,218,213,226,222,221,221,219,218,218,217,226,227,228,228,227,228,229,230,227,227,227,227,224,227,229,227,225,255,219,177,210,226,224,222,223,222,220,217,228,230,230,229,229,230,229,230,229,230,231,227,245,246,212,222,255,255,243,192,195,221,220,224,222,221,220,220,230,230,231,230,229,231,231,233,229,231,229,245,255,249,208,188,237,255,255,246,247,233,185,185,223,220,220,223,230,231,231,231,232,232,234,230,236,255,222,240,255,240,215,179,235,233,255,255,255,243,187,136,204,226,222,223,232,232,232,234,234,233,229,237,255,255,218,189,255,236,206,186,250,220,222,253,255,238,179,128,170,230,222,222,232,231,232,233,231,234,229,255,255,255,225,190,255,243,204,185,254,234,186,255,255,241,170,124,155,234,224,225,234,234,233,234,236,230,251,255,255,255,231,185,255,252,206,190,255,230,195,255,255,239,165,116,172,237,224,225,236,238,237,237,236,236,255,255,255,255,239,188,254,247,204,176,236,212,194,255,255,228,158,114,205,235,227,228,237,238,237,239,236,255,255,253,251,255,232,181,217,229,198,146,174,167,220,255,255,211,151,133,234,229,230,229,238,238,238,235,247,255,255,222,227,220,184,143,176,201,161,103,189,231,255,255,245,199,138,181,241,230,231,230,240,241,242,237,252,255,255,223,201,198,159,119,195,197,133,204,255,255,254,239,229,186,138,221,238,232,231,231,240,242,244,236,255,255,255,236,191,181,161,111,212,183,227,255,255,255,234,210,209,165,136,232,235,236,234,232,240,242,245,240,255,255,255,243,217,185,173,160,154,224,255,255,255,255,219,190,183,138,169,247,234,236,234,234,243,244,243,246,255,255,255,251,232,200,186,186,217,255,255,255,255,238,198,174,165,117,199,247,237,237,237,235,244,245,242,251,255,255,255,255,247,214,208,230,255,255,255,255,255,220,182,164,136,144,238,241,239,238,238,237,244,246,242,251,255,255,255,255,255,235,225,250,255,255,255,255,248,206,170,155,118,209,250,239,240,239,239,238,243,245,242,249,255,255,255,255,255,240,234,244,255,255,255,255,219,195,157,129,143,246,242,241,239,240,240,237,244,245,244,247,255,255,255,255,254,239,237,240,255,255,241,243,205,173,141,110,200,250,241,242,240,241,240,240,245,246,244,247,255,255,255,255,245,232,233,239,252,237,229,227,202,151,121,131,243,243,241,242,243,240,240,249,244,247,244,249,255,255,251,249,234,222,225,231,250,231,218,209,175,131,97,192,255,243,244,242,242,241,241,197,249,249,248,255,255,255,254,251,238,237,227,230,255,218,193,176,142,94,133,248,244,245,243,244,248,253,187,119,194,186,172,218,255,255,255,254,254,255,224,228,250,195,165,144,101,99,235,249,245,244,249,244,219,178,131,118,144,143,135,140,147,148,152,156,164,185,170,188,198,163,138,115,76,200,255,254,253,253,215,158,130,114,108,100,165,131,131,134,127,121,113,106,94,89,89,93,93,86,81,79,72,106,129,158,211,210,120,122,126,119,110,99
15,68,67,70,68,73,75,76,79,81,90,103,113,121,126,132,137,139,142,145,150,153,156,158,160,162,165,167,169,67,68,68,67,71,73,70,76,81,92,103,112,121,127,133,138,139,143,146,149,151,157,160,161,163,166,168,170,69,68,68,68,71,71,88,76,77,92,104,114,123,128,133,139,140,142,147,152,153,157,161,162,165,169,172,172,69,68,68,71,56,112,174,127,96,91,98,112,124,133,136,142,142,142,145,151,154,158,161,164,166,169,170,171,70,68,67,71,58,115,178,162,149,134,117,118,112,125,135,141,144,145,149,152,155,157,161,166,167,168,170,171,69,69,69,70,70,72,126,129,124,142,141,142,129,120,115,121,125,132,141,150,159,164,166,165,167,169,172,174,68,69,68,69,73,71,75,90,91,110,121,127,146,141,132,127,124,127,126,118,122,129,148,173,168,172,173,175,68,69,68,69,70,74,75,76,83,93,97,92,122,130,129,122,126,142,151,135,110,94,74,137,176,170,174,175,69,70,69,70,72,76,77,77,82,93,104,106,113,117,115,109,104,141,150,153,129,118,84,63,156,177,172,177,67,69,69,70,71,74,76,76,81,95,105,116,125,128,127,119,119,155,152,153,140,136,114,87,80,170,178,176,68,69,69,69,71,72,75,78,82,92,101,115,123,134,142,133,166,166,139,145,160,143,137,118,75,86,176,178,69,69,69,69,72,72,75,78,82,92,122,122,124,122,130,161,173,157,109,148,160,142,163,132,96,58,102,187,68,69,70,70,72,72,76,79,73,122,165,139,147,141,118,134,132,99,79,139,139,137,173,138,101,78,55,128,68,69,69,69,69,72,74,77,77,117,140,147,173,172,131,98,112,89,53,127,117,145,165,139,108,85,66,62,68,67,67,68,70,73,74,77,80,93,112,128,166,165,124,123,133,122,112,113,118,129,137,128,107,83,67,64,67,66,66,66,68,72,72,74,80,94,106,121,133,118,117,139,137,129,136,140,124,88,84,102,92,79,66,62,66,65,65,66,67,68,69,71,80,96,106,110,124,133,101,123,139,141,147,150,126,84,66,76,77,74,75,64,64,63,64,66,67,67,68,70,79,93,106,110,136,200,113,66,70,126,137,142,119,79,70,75,73,75,78,72,62,63,63,64,64,66,69,70,79,94,104,109,133,187,118,57,15,50,113,127,102,79,78,77,74,76,80,77,63,63,63,64,64,66,67,68,79,94,104,109,129,176,106,46,69,32,60,111,79,72,75,81,82,79,79,76,62,62,62,63,64,65,67,68,77,93,104,109,129,176,96,64,83,60,75,101,115,93,92,91,87,84,78,74,60,60,60,60,62,64,66,67,76,89,100,111,123,182,78,79,110,85,127,82,126,107,98,89,82,79,76,71,57,57,58,58,59,61,64,65,74,89,100,107,131,192,60,86,175,50,148,135,99,72,75,74,74,74,75,74,61,58,60,61,60,59,62,62,71,86,99,105,128,143,52,105,175,47,130,166,105,103,110,50,53,59,56,58,118,116,113,111,107,107,110,110,112,112,114,115,126,104,82,136,124,86,140,144,148,155,154,84,46,49,48,51,85,83,82,80,81,82,85,89,84,83,81,77,81,80,86,90,87,87,90,89,91,87,90,87,61,61,71,77,85,84,84,82,82,82,83,80,80,83,82,78,80,83,83,84,82,83,86,84,83,81,82,84,84,91,97,89,86,85,85,85,83,85,87,84,85,86,90,88,87,90,86,85,87,88,90,88,89,88,89,91,89,92,128,100
5,146,147,150,154,153,153,154,154,155,155,157,156,157,157,157,156,161,149,156,155,154,153,151,151,149,147,147,146,148,150,153,155,155,155,157,152,172,161,123,162,158,158,159,156,186,114,148,159,157,155,153,152,152,150,149,148,150,152,155,157,157,159,160,156,169,192,104,157,162,159,158,165,196,100,144,164,158,158,156,154,153,152,152,151,152,154,155,159,158,158,162,159,164,204,113,148,167,163,156,189,174,96,159,162,160,159,159,157,155,155,154,152,154,157,158,159,163,182,130,159,166,214,136,140,171,162,165,203,139,106,171,161,163,162,160,160,159,157,156,154,156,159,160,162,158,198,127,137,169,218,162,133,173,159,188,198,116,133,172,164,166,163,161,162,161,160,158,157,159,160,161,165,157,197,158,117,176,212,155,126,172,168,194,164,98,157,170,167,167,165,164,163,162,160,159,159,160,162,164,166,160,192,194,120,171,202,144,114,173,175,176,110,112,176,167,168,168,167,166,165,164,161,161,161,161,163,166,167,163,178,218,141,156,202,165,118,168,168,159,88,148,176,170,170,169,168,167,167,166,165,163,163,163,164,166,168,168,173,218,171,127,201,164,128,138,148,147,101,168,174,171,172,172,169,168,167,167,167,166,164,164,166,167,169,170,170,211,212,143,171,158,141,97,124,126,115,175,174,174,174,173,172,171,170,169,167,166,165,166,167,169,171,173,170,192,218,207,153,130,142,92,99,102,135,181,175,176,171,171,170,169,168,168,168,169,168,167,169,171,172,173,174,175,212,218,197,122,116,100,93,83,148,181,171,178,185,189,191,191,184,171,170,157,159,169,171,172,174,175,177,173,192,218,215,172,105,92,92,85,110,154,167,162,143,153,169,154,157,171,157,109,139,170,172,173,175,176,178,178,177,212,218,184,121,93,91,87,96,116,139,116,85,108,121,120,136,144,143,109,164,172,174,175,176,178,180,181,177,200,218,182,121,94,87,85,96,92,85,95,148,181,177,181,178,176,152,122,174,173,174,176,178,180,181,183,179,199,218,183,127,98,84,88,87,85,141,178,187,180,183,174,174,161,119,164,177,173,176,178,179,180,183,183,180,206,218,184,133,102,88,83,64,160,199,183,181,185,174,160,176,119,140,185,172,174,177,180,180,180,182,183,181,211,218,178,131,100,86,78,77,129,159,183,184,166,160,164,156,96,159,182,177,175,178,181,182,181,182,183,186,217,215,170,131,96,77,76,88,84,100,122,135,142,159,160,116,124,182,182,172,176,179,180,181,182,184,182,192,218,209,168,125,92,73,76,80,91,113,114,124,147,141,117,142,184,186,143,97,174,178,180,181,182,185,181,199,218,204,160,117,96,76,81,87,109,128,122,119,127,106,152,187,184,170,90,89,176,179,181,182,183,185,182,207,218,193,147,123,106,79,87,107,123,127,125,103,97,163,190,179,190,149,85,87,178,179,181,184,185,186,186,215,218,181,144,135,112,81,90,115,125,124,114,106,172,192,182,193,156,83,74,61,178,180,183,186,188,185,193,218,215,179,152,137,111,82,88,114,115,115,96,169,196,186,191,181,102,72,69,53,179,181,183,185,185,183,205,218,211,187,161,131,102,75,80,102,104,88,144,197,187,195,152,97,78,68,54,43,182,183,186,187,190,190,215,218,208,187,144,95,70,52,58,69,84,137,196,192,195,139,87,80,72,64,54,40,164,168,171,174,152,171,218,214,191,160,99,54,44,34,42,26,104,206,190,193,133,75,77,70,61,59,61,49
1,149,151,155,158,160,161,162,164,164,165,166,166,165,165,166,166,166,166,167,167,167,167,167,166,166,166,165,164,152,154,157,160,163,164,165,166,167,168,168,170,162,154,167,169,169,169,169,169,169,170,170,169,168,168,167,166,155,158,161,163,166,167,168,169,170,172,169,172,160,129,160,172,173,173,172,172,173,173,173,173,172,171,170,170,158,161,164,167,169,170,171,172,174,182,168,153,158,115,136,153,169,176,176,176,176,176,176,176,175,174,174,173,161,164,166,170,172,173,174,176,178,189,168,139,157,113,110,123,147,177,179,178,179,179,179,178,177,177,177,175,163,166,170,173,175,176,178,179,180,191,173,139,162,127,111,123,127,173,181,181,182,182,182,181,180,179,179,178,166,169,173,175,177,180,181,183,178,183,181,141,161,142,115,130,120,162,183,184,184,184,184,184,183,182,181,181,169,172,175,178,180,182,184,189,176,153,179,145,150,148,122,144,132,150,184,187,187,187,187,187,186,185,184,183,173,175,178,181,183,185,186,194,176,135,174,148,141,155,136,157,152,139,178,189,189,190,189,188,188,187,186,185,175,178,180,183,185,188,188,196,179,136,174,157,144,168,148,151,165,138,166,192,193,192,191,191,190,189,188,186,177,180,182,184,187,189,191,200,187,142,177,174,146,169,152,140,175,151,153,190,195,195,194,194,193,191,190,189,179,181,184,186,189,191,193,202,190,143,169,178,135,150,149,132,178,164,143,184,197,197,196,196,195,194,193,192,181,184,186,189,192,194,194,202,195,149,148,169,125,138,152,132,170,166,137,172,198,199,198,198,197,197,195,194,184,186,188,192,194,195,197,204,201,154,129,165,155,153,159,166,175,151,131,154,197,201,200,200,199,198,197,196,185,187,190,193,195,197,199,205,202,155,133,161,180,165,163,188,175,142,129,131,185,202,202,201,200,200,198,197,185,188,191,194,196,199,200,206,203,176,165,151,166,170,179,197,169,141,130,118,164,202,205,203,202,201,200,200,186,189,192,195,197,200,201,208,207,188,172,144,152,182,202,200,183,160,133,113,140,198,207,205,204,203,202,202,186,190,194,196,199,201,203,211,208,179,161,147,164,192,195,175,182,192,168,130,125,189,208,207,206,205,205,204,187,191,194,198,200,202,204,214,214,175,151,154,166,165,153,142,174,209,199,162,131,174,207,209,208,207,206,205,188,191,194,197,200,201,203,214,222,185,148,144,142,141,146,171,193,205,198,166,131,152,204,210,209,208,207,206,188,191,193,196,199,201,202,210,225,200,154,149,156,171,197,216,216,204,187,154,118,143,203,210,209,209,208,207,188,191,194,196,199,201,202,208,225,216,170,159,169,184,217,228,223,203,177,144,109,146,205,210,209,209,208,207,189,192,194,197,200,201,203,207,223,227,189,170,178,181,215,233,226,201,168,135,107,154,207,211,211,210,209,208,190,192,194,197,200,201,203,206,218,229,205,183,190,178,206,233,224,195,159,126,106,163,210,212,212,210,209,209,189,192,194,197,200,202,204,206,212,223,215,197,198,179,191,225,216,185,151,118,105,169,212,213,212,211,210,209,177,181,185,188,191,194,196,198,201,213,220,209,198,179,174,211,208,178,143,112,106,176,212,213,213,212,211,211,126,129,133,137,140,143,146,149,152,181,218,212,192,173,159,186,195,166,132,107,109,167,195,206,212,214,213,210,100,100,102,103,105,106,108,109,110,147,208,205,184,165,150,167,179,154,123,104,104,129,165,200,206,206,214,210
11,132,135,137,140,143,143,145,146,147,147,146,146,147,145,145,143,143,141,140,140,138,137,136,135,133,133,131,129,134,137,139,142,144,145,147,148,149,149,148,148,148,147,147,146,145,144,142,141,140,140,139,138,135,134,132,131,136,139,141,144,146,147,149,149,150,151,150,149,149,148,147,147,147,146,144,143,142,142,139,139,137,136,134,132,138,141,143,145,148,149,151,151,151,153,152,152,152,151,149,149,143,145,148,145,143,143,142,140,139,138,136,134,139,143,145,146,148,151,153,153,152,153,153,153,153,153,151,156,142,92,145,147,144,145,145,142,142,140,137,135,141,145,146,148,151,153,154,154,154,154,154,154,154,154,151,162,149,69,123,154,146,147,146,145,144,141,139,138,142,145,149,150,152,153,155,156,155,156,156,156,156,154,152,162,144,75,116,158,147,147,147,147,144,142,141,140,144,146,150,152,153,155,158,158,159,158,158,157,158,157,152,168,154,84,115,160,149,148,147,146,146,143,142,140,145,148,150,153,154,157,160,159,160,160,159,158,158,160,153,174,163,91,106,161,150,149,149,148,147,144,143,142,147,150,152,154,157,158,160,161,160,160,160,159,159,159,155,176,149,81,105,162,150,151,151,150,148,146,144,143,148,151,153,156,158,160,161,161,161,161,161,160,162,165,161,176,142,75,110,163,151,153,152,151,150,147,145,144,150,152,155,159,160,161,161,161,162,164,167,167,152,119,142,181,139,80,119,163,153,154,154,152,151,149,148,145,152,153,157,160,161,162,163,168,171,158,129,144,141,89,77,155,116,69,129,164,155,155,154,154,152,150,147,146,153,155,157,160,163,164,164,133,141,152,97,56,124,111,54,62,69,54,149,163,158,156,155,154,153,151,148,147,154,157,159,161,163,168,168,120,67,139,112,52,124,109,52,41,46,72,167,159,159,158,158,157,156,156,151,147,154,158,161,164,163,180,174,146,65,119,120,52,113,92,49,43,43,82,170,159,161,158,153,148,139,136,150,153,157,159,161,164,172,191,177,142,67,82,103,44,97,87,46,34,31,77,173,160,160,154,144,136,114,99,97,129,158,161,163,163,183,175,157,140,73,50,89,46,118,99,55,28,36,83,174,154,164,163,128,99,73,67,51,68,160,161,165,164,186,189,161,130,56,68,106,50,153,141,70,35,53,78,149,158,158,114,55,44,84,109,103,117,160,162,166,166,190,192,164,112,75,94,165,77,145,140,50,49,89,100,137,151,114,50,55,140,168,164,162,158,160,163,167,165,192,188,150,127,119,82,188,95,54,104,81,103,105,98,116,99,49,67,160,167,159,157,154,153,160,164,166,165,189,185,162,142,111,97,137,87,97,144,137,116,96,80,80,45,58,166,166,160,161,158,156,154,161,165,168,167,183,185,171,148,133,148,156,162,142,129,119,104,92,67,43,51,154,170,163,163,162,160,158,156,162,165,169,168,178,181,166,146,121,121,138,144,130,125,105,96,85,36,67,157,172,166,166,165,164,160,159,158,161,166,166,173,177,174,160,123,101,118,132,126,120,107,97,86,42,81,173,175,167,167,166,165,164,161,159,158,160,169,74,43,155,161,143,116,119,129,126,117,104,88,63,44,102,178,172,169,168,166,166,165,163,160,158,156,171,119,28,18,70,142,154,150,141,119,117,98,72,36,68,154,180,172,171,171,169,167,166,165,163,161,159,156,162,58,29,38,27,57,121,133,122,107,96,78,44,42,171,183,172,173,172,171,169,168,166,165,163,161,159,158
1,43,69,70,76,83,102,124,138,143,151,158,161,167,176,176,181,180,182,185,185,186,188,189,189,189,190,191,188,53,69,72,78,84,106,128,143,148,156,164,165,180,204,131,177,188,189,188,190,190,189,190,191,190,191,190,190,61,70,73,79,86,110,133,146,153,161,170,171,195,217,107,130,142,179,200,196,195,196,195,194,193,193,192,192,68,70,76,81,88,113,138,150,158,162,206,171,157,224,110,119,134,131,213,200,203,204,203,201,198,197,196,196,72,72,77,82,91,118,140,153,161,165,225,176,122,217,109,111,155,95,204,211,209,209,209,207,205,204,202,202,72,73,79,84,96,123,145,156,165,169,225,187,111,195,115,106,157,86,186,224,214,216,215,213,211,211,209,207,74,74,80,84,99,128,149,159,168,174,229,189,95,181,138,112,169,102,168,232,220,222,222,220,217,216,215,214,75,75,81,85,104,133,154,162,177,193,199,194,94,142,131,107,175,111,153,241,225,227,227,225,223,224,223,221,76,76,82,86,108,138,158,161,198,197,172,196,96,123,134,90,167,116,145,245,231,233,233,230,229,229,227,225,78,79,84,87,110,141,163,161,225,190,150,193,95,140,152,92,191,148,141,246,235,236,236,235,235,234,231,231,79,81,86,89,114,144,166,167,230,171,136,213,111,128,148,94,190,166,132,246,241,241,241,240,238,237,236,235,78,81,85,90,119,149,169,172,231,166,117,204,119,93,130,105,181,166,115,243,246,245,244,243,241,241,242,240,79,81,84,91,123,152,172,178,236,171,95,176,109,83,120,126,197,166,111,239,251,249,249,248,247,246,246,246,80,81,84,93,126,155,175,181,242,190,86,159,162,152,145,169,202,136,95,224,255,251,252,251,251,251,251,250,80,82,85,95,131,159,180,184,240,188,98,170,219,170,150,161,162,132,81,189,255,252,255,255,252,253,254,251,79,82,85,98,134,163,184,188,239,200,157,162,131,148,138,136,127,141,120,149,255,255,255,255,255,254,255,255,79,83,85,101,139,169,186,192,255,222,163,138,111,138,141,154,142,172,171,125,194,255,255,255,255,255,255,219,79,83,85,104,142,172,187,198,255,220,158,124,120,143,151,224,211,190,215,176,108,225,255,255,240,176,102,53,80,83,85,107,146,176,189,202,255,216,146,119,127,150,189,248,255,203,231,180,93,163,255,149,65,43,37,43,79,82,84,109,149,177,192,202,255,224,148,121,138,161,208,244,255,252,203,136,89,151,135,49,40,35,51,34,77,80,82,110,150,179,192,200,252,231,158,122,143,173,221,254,255,241,185,124,99,72,36,61,58,16,46,46,77,80,82,113,153,183,194,201,246,238,185,129,146,177,223,255,254,220,174,125,93,61,41,29,64,24,18,51,70,74,77,112,155,185,198,203,238,240,206,144,147,176,223,255,236,203,162,119,90,60,47,13,41,48,5,31,92,87,88,119,159,187,200,208,231,233,215,161,151,167,223,247,225,195,148,110,85,61,37,21,16,51,17,11,131,129,131,130,131,141,148,152,163,222,221,171,167,162,210,229,215,183,137,104,76,55,45,20,7,38,34,0,124,124,125,127,126,128,129,132,125,188,226,184,172,160,183,214,197,163,122,94,68,29,49,25,0,28,46,6,127,127,129,131,134,134,136,138,136,148,211,189,172,163,155,187,175,141,105,81,69,32,35,27,2,15,47,25,125,127,128,130,131,133,135,137,139,133,187,202,177,169,147,157,163,129,93,68,71,48,17,1,13,6,41,39
3,162,164,164,164,164,165,166,165,166,165,165,165,164,164,162,160,159,152,160,156,156,155,153,152,149,148,146,145,165,167,167,167,167,167,168,168,168,168,169,169,167,166,165,164,169,112,140,165,159,157,156,156,153,151,149,147,168,170,171,171,171,171,172,172,171,172,173,173,172,170,168,169,162,95,112,173,160,161,160,159,157,155,153,150,172,174,174,174,175,175,175,176,177,176,175,174,175,175,172,172,160,93,95,174,165,165,163,162,160,158,156,154,177,177,177,178,179,179,179,180,180,179,179,178,177,177,176,176,160,89,88,177,168,168,167,165,163,161,159,156,179,180,180,180,181,183,182,182,182,182,181,181,181,180,179,178,159,96,84,176,171,169,169,168,166,164,161,159,182,183,184,184,184,185,185,186,185,185,185,184,184,183,181,182,169,103,79,175,175,172,171,169,169,167,165,162,185,186,187,187,187,188,188,188,187,187,187,187,187,186,184,183,165,89,79,180,177,175,174,172,172,169,168,165,187,188,189,189,189,190,189,189,189,188,189,190,189,189,188,182,154,105,86,171,181,177,176,175,174,172,170,167,188,189,189,191,191,192,192,191,191,192,192,192,191,191,190,185,167,131,82,156,188,179,179,178,176,175,172,168,189,191,191,192,192,193,194,194,194,194,194,194,193,192,192,185,171,129,70,144,192,180,180,180,178,176,174,171,192,192,193,193,193,194,195,195,195,194,195,195,194,195,193,190,180,130,74,118,198,179,182,182,180,178,176,173,194,193,194,195,194,194,196,197,196,196,196,197,198,191,175,164,157,154,109,136,175,193,183,182,181,179,177,174,195,195,195,195,196,197,198,198,198,198,200,199,191,183,175,128,86,138,149,177,108,162,193,184,183,181,179,176,196,196,196,198,198,199,199,198,199,201,194,177,130,142,176,127,82,96,152,151,83,58,135,193,183,183,181,178,198,197,199,199,200,201,200,200,202,194,184,168,121,94,141,152,106,78,127,135,90,62,66,181,189,183,182,180,198,198,199,200,201,201,200,202,200,186,172,148,143,124,106,160,118,71,76,102,104,70,60,169,193,184,184,181,199,199,199,200,201,201,201,202,197,178,146,107,128,130,90,126,130,75,65,85,120,83,53,159,196,185,184,183,198,199,199,200,202,203,204,205,200,177,160,105,74,110,56,86,125,64,68,82,126,115,55,137,199,185,186,184,198,199,199,201,202,203,204,204,206,181,151,126,96,77,57,82,89,48,76,121,141,130,61,139,200,187,187,185,198,199,200,200,201,202,203,203,208,181,162,157,122,85,84,104,94,84,149,156,141,97,78,187,191,188,186,182,199,200,201,201,203,204,204,204,207,188,155,156,133,104,96,118,161,167,176,142,114,64,134,202,184,185,188,190,198,198,199,201,202,203,203,203,207,196,152,153,136,110,98,105,168,166,150,122,85,63,177,198,196,196,176,142,205,205,205,206,207,207,208,208,208,211,161,134,129,110,103,101,149,151,131,99,57,117,207,178,155,121,76,55,163,168,172,175,180,185,189,191,193,199,184,129,127,120,117,97,121,133,111,69,76,147,104,72,53,45,45,51,98,99,100,101,102,105,105,106,106,105,117,150,127,125,110,88,88,88,65,53,77,65,46,42,48,43,42,39,107,106,107,108,106,106,112,109,110,106,126,173,153,127,98,83,82,81,59,59,61,53,56,38,43,37,34,35,106,107,107,108,107,108,115,112,115,111,142,160,158,135,113,102,91,80,56,58,54,50,45,45,32,33,30,34
4,145,145,145,145,145,144,144,143,142,141,142,140,140,139,140,139,135,135,134,133,133,133,132,132,130,127,127,125,146,146,146,147,146,145,145,145,145,146,145,144,142,139,129,130,141,136,135,134,134,133,132,133,130,127,127,126,148,148,147,147,147,147,146,146,143,128,117,129,141,135,105,76,100,145,137,136,140,135,133,132,131,130,128,127,149,150,148,147,147,148,147,148,147,136,127,106,98,103,121,102,67,105,112,87,96,134,135,133,132,131,130,128,150,150,149,149,148,149,148,143,144,139,137,133,108,72,73,108,96,63,60,77,45,95,143,132,133,132,131,130,151,150,149,150,150,149,140,130,129,117,80,81,115,71,37,85,93,64,37,70,59,58,140,134,133,132,130,129,151,151,151,151,151,150,148,149,134,119,82,45,92,74,36,62,78,48,43,81,71,44,126,138,132,132,131,130,152,153,152,153,151,153,130,109,97,126,91,51,74,94,70,61,70,35,51,84,68,44,126,138,133,132,131,130,153,153,152,153,151,154,140,93,46,93,122,81,80,104,116,98,75,71,69,78,87,58,126,138,135,133,132,131,153,154,153,154,153,155,139,96,38,23,119,98,69,83,106,109,76,82,81,77,93,50,93,146,134,134,133,132,154,155,155,155,153,153,118,79,65,56,51,67,51,46,50,86,82,75,75,74,70,54,58,142,136,135,134,134,156,156,156,155,153,151,130,120,97,71,42,36,51,45,43,46,71,76,67,61,71,72,41,124,141,136,134,133,156,156,156,155,155,152,135,122,92,63,42,44,48,52,66,53,40,33,64,88,97,82,42,91,147,135,134,132,156,157,157,156,156,152,143,113,80,55,41,42,52,70,70,69,64,68,86,110,102,87,62,61,145,135,135,133,156,158,158,158,155,155,134,106,81,54,42,51,61,72,82,81,99,122,112,92,122,110,81,44,129,140,136,135,158,158,158,158,155,154,143,123,95,65,49,53,60,84,96,98,110,124,132,119,111,110,82,35,113,144,136,135,158,159,158,159,158,153,142,124,100,70,47,50,69,88,100,113,118,129,128,119,105,85,69,32,119,143,136,135,159,158,158,159,159,150,141,132,111,83,57,53,60,87,107,119,129,134,125,107,96,75,44,50,144,139,137,136,159,159,158,159,159,147,135,137,118,94,72,56,53,91,118,128,138,135,120,100,86,67,26,99,148,138,138,136,158,158,158,159,159,146,131,134,120,97,79,63,57,90,127,131,136,127,110,92,77,51,40,142,142,140,139,138,159,159,160,160,160,146,129,126,118,103,84,69,66,94,132,127,124,117,99,82,70,33,89,153,140,141,138,137,159,159,161,160,162,147,126,125,125,110,87,80,72,98,127,122,117,104,88,74,56,36,135,147,142,140,139,137,159,160,161,160,161,153,129,127,127,114,93,87,72,101,120,117,112,94,75,65,30,78,155,143,144,140,140,139,160,161,161,161,161,161,137,131,133,118,101,87,70,94,117,110,102,82,65,46,34,139,148,145,145,141,140,139,161,162,161,161,161,161,142,140,134,116,105,91,73,83,104,97,84,65,54,22,105,156,145,145,144,143,140,139,162,162,161,162,163,159,149,143,130,118,107,94,79,77,88,83,67,56,26,68,156,147,147,144,143,143,141,140,162,162,162,161,163,159,150,143,127,115,105,93,86,78,77,76,61,41,31,142,151,147,146,145,143,142,141,140,162,162,162,161,163,155,148,139,129,121,116,107,100,84,73,71,55,25,84,159,149,149,146,145,144,143,141,140
10,155,158,161,163,163,166,168,168,170,170,171,171,173,176,179,179,177,178,178,178,178,180,179,178,176,178,179,179,160,162,165,167,169,170,171,173,173,174,174,176,177,179,180,176,179,180,181,181,181,181,182,181,179,180,179,180,165,167,170,172,174,176,176,177,178,179,179,181,182,181,207,152,154,188,183,185,185,185,185,184,183,181,181,181,169,173,177,176,179,180,181,183,183,183,185,186,185,185,220,152,131,196,187,188,188,189,188,188,187,185,185,184,174,177,181,182,184,185,185,187,187,187,190,190,189,190,224,161,124,196,190,192,193,192,190,189,190,189,188,187,180,181,185,188,189,189,190,191,194,192,192,193,193,194,228,174,125,198,196,195,195,195,193,193,194,192,190,189,184,186,190,194,192,192,194,200,190,200,202,201,199,198,232,186,129,198,202,200,199,199,198,196,196,195,193,192,188,189,193,196,195,196,198,212,149,124,188,181,197,204,234,199,127,193,207,205,204,204,202,201,199,198,199,197,191,194,197,199,202,202,205,187,113,69,100,108,144,215,232,203,124,189,212,208,208,207,206,204,203,203,203,200,194,198,200,202,205,205,207,208,132,76,96,93,104,217,247,214,123,191,216,210,212,212,210,208,207,206,205,203,196,201,204,206,207,209,209,217,194,124,168,118,87,202,218,194,121,196,219,214,215,215,215,214,212,210,209,208,200,204,208,211,210,210,216,230,194,109,217,177,106,137,128,145,114,197,224,219,219,219,218,216,216,214,213,211,204,207,211,212,216,211,212,243,203,76,175,209,140,84,87,113,105,200,227,221,222,222,221,219,218,217,214,214,206,210,214,214,226,238,220,240,216,104,100,227,177,109,91,119,97,199,228,223,226,225,224,223,221,220,220,218,210,213,216,218,223,249,217,225,221,149,61,195,217,144,98,112,94,204,233,227,228,227,226,225,225,224,222,220,211,216,219,221,220,209,187,171,255,207,77,116,231,178,116,94,94,198,237,227,229,229,229,229,228,228,223,222,214,218,220,223,225,213,184,146,219,166,66,92,196,195,153,97,87,202,241,232,232,232,231,231,230,228,227,226,218,221,223,223,227,232,182,170,155,77,89,145,178,193,156,99,82,207,242,235,235,235,235,234,231,229,228,229,220,222,225,227,228,243,219,174,148,114,190,239,200,169,144,101,88,217,241,236,236,236,236,234,233,231,230,231,221,225,227,229,230,253,222,197,196,180,250,251,207,154,133,101,110,239,237,238,239,237,237,234,234,234,233,232,225,227,227,230,232,247,236,220,211,197,255,237,197,153,124,97,133,250,237,239,239,239,238,237,236,236,235,234,225,228,229,233,233,243,237,212,210,204,249,220,184,148,120,92,141,253,240,242,242,241,240,238,237,237,236,235,227,230,232,235,234,237,239,227,227,199,228,212,173,140,114,90,148,255,241,244,244,243,242,242,241,238,237,236,228,231,232,235,236,233,232,232,226,192,223,211,165,133,113,93,161,255,242,245,245,245,243,242,242,240,238,238,229,234,234,235,238,237,232,228,210,178,207,204,164,136,117,96,193,254,243,245,245,243,244,244,243,242,241,240,229,233,234,234,237,235,243,218,187,179,204,180,177,158,114,111,237,251,248,249,248,246,246,246,245,244,243,242,230,232,234,236,239,233,250,234,212,203,198,186,195,170,98,153,255,249,251,250,250,250,249,248,247,246,245,243,227,230,234,235,235,224,248,242,225,210,188,191,185,152,92,210,255,248,250,251,250,248,250,250,248,247,245,244
11,187,189,190,192,193,193,194,194,194,194,193,192,190,191,191,190,188,187,186,186,185,184,182,181,180,180,179,176,189,191,192,193,194,195,195,195,195,194,195,193,192,193,194,192,191,190,188,187,186,186,184,183,181,181,179,177,189,192,194,194,196,197,197,197,196,197,196,194,194,193,184,192,193,191,190,189,187,186,185,185,183,182,181,179,192,193,195,197,198,197,197,198,198,198,197,197,195,206,161,153,199,191,191,192,189,188,188,186,184,182,182,181,193,194,196,198,199,199,198,198,199,199,199,198,197,209,166,130,197,193,193,193,192,190,189,188,187,184,182,181,194,195,197,199,199,200,199,200,200,201,199,199,199,206,164,134,194,195,193,194,193,192,190,188,187,186,185,182,196,197,199,199,201,202,202,202,202,202,201,200,199,216,175,137,192,198,194,194,193,193,192,190,188,186,185,184,196,199,200,201,203,203,203,203,203,202,202,202,202,222,182,135,187,200,195,195,194,194,192,190,189,187,186,185,198,200,201,203,204,204,204,204,204,204,203,201,206,217,171,130,188,200,196,196,196,194,193,191,190,189,188,186,199,200,202,204,203,204,204,205,205,204,206,205,211,210,169,128,193,201,197,197,196,196,195,193,191,190,188,187,199,202,204,205,205,205,206,209,210,205,185,175,215,207,170,134,197,201,199,199,198,197,196,194,192,190,187,187,202,203,205,205,207,211,207,193,188,201,169,126,180,191,152,135,204,201,199,199,199,198,196,195,194,192,189,188,203,204,207,207,198,189,209,173,128,154,182,138,115,135,118,141,212,203,201,200,199,199,197,195,194,193,191,189,203,206,207,213,193,134,171,184,127,142,183,137,103,114,106,167,212,202,203,201,201,200,199,198,194,193,192,191,205,206,211,220,204,149,143,193,131,141,171,128,105,113,105,174,211,203,203,201,198,193,186,190,199,195,192,191,207,206,224,227,206,155,124,173,126,128,160,122,102,105,99,173,214,203,204,195,193,178,162,155,159,192,194,191,206,212,226,211,197,160,109,144,121,138,167,133,98,102,102,178,211,203,213,198,173,150,133,130,108,163,201,191,206,213,233,211,196,154,107,157,126,150,204,152,106,111,113,163,204,206,195,152,110,117,146,159,150,183,199,193,208,216,236,222,186,139,121,187,157,151,230,150,104,126,148,170,199,194,152,103,135,199,208,206,205,200,195,193,207,218,236,214,178,179,140,199,209,117,158,135,131,161,155,167,173,148,106,149,213,206,202,201,198,198,197,194,207,217,233,214,193,182,138,175,169,117,169,191,178,166,145,146,136,102,148,217,206,205,204,202,200,199,198,196,209,215,229,220,205,184,187,195,199,191,187,180,169,158,141,125,103,132,212,208,207,206,204,203,201,200,199,197,209,213,224,217,203,184,175,185,201,191,180,173,157,153,132,99,142,209,211,208,208,207,204,203,202,201,199,198,220,220,220,215,194,168,160,176,182,176,172,157,152,140,103,156,219,212,211,210,209,207,205,204,203,202,199,198,120,169,215,199,178,155,172,179,176,167,157,148,126,110,168,221,211,211,211,210,209,207,206,204,203,201,199,198,85,97,188,200,194,193,183,172,169,150,131,102,134,197,220,213,213,211,210,209,208,207,206,204,202,200,198,197,104,99,107,163,192,187,172,161,153,132,98,129,224,220,213,214,214,212,211,210,209,208,206,204,204,201,199,199,96,98,93,98,131,145,151,145,129,108,91,196,222,214,216,215,214,213,212,210,209,209,207,205,204,201,200,192
18,178,181,183,183,185,187,189,191,191,191,193,195,196,196,197,199,199,200,200,202,201,202,202,201,200,201,201,201,179,181,184,185,186,188,190,191,192,193,194,195,196,197,198,200,201,200,200,201,203,203,204,203,203,202,201,201,181,183,185,187,189,189,190,192,192,194,195,195,195,197,198,203,205,200,200,201,201,202,205,205,205,202,202,202,181,182,187,188,189,190,190,193,194,195,196,196,198,198,200,188,184,206,201,204,203,203,206,205,204,205,204,204,181,183,188,187,188,190,191,192,194,197,197,199,203,199,211,186,136,172,208,203,203,207,204,203,204,205,206,206,181,184,188,188,189,189,192,194,194,197,199,191,176,198,203,198,140,96,183,207,184,173,199,207,205,206,204,205,181,183,186,188,189,190,194,196,196,200,213,193,152,155,209,181,156,110,125,166,158,140,144,214,205,207,205,205,182,184,187,189,189,190,193,192,185,214,215,193,159,136,225,199,184,149,112,117,143,138,101,193,210,206,206,205,183,185,188,190,190,189,207,196,149,192,218,187,156,154,223,222,203,158,117,102,127,128,92,163,218,206,207,206,184,186,188,191,187,204,227,196,145,177,219,187,146,173,213,216,201,159,112,89,107,118,88,165,218,206,208,208,185,187,187,190,187,212,229,197,146,164,219,190,135,187,213,214,197,155,111,80,94,105,87,183,215,206,208,208,186,188,189,190,191,202,219,200,150,153,218,188,122,153,198,222,193,149,107,80,86,89,102,201,212,207,209,208,186,188,191,187,198,215,199,197,160,135,197,175,121,82,167,229,185,144,101,83,80,80,128,217,208,210,210,211,185,188,190,192,205,196,176,167,153,102,144,144,108,41,184,232,182,136,97,84,86,84,144,220,206,210,210,212,187,188,187,202,217,182,168,139,120,89,115,130,77,91,231,216,178,138,101,78,86,83,159,221,209,212,212,212,187,190,188,204,226,195,172,146,142,91,116,131,149,216,231,206,172,139,104,88,91,94,196,215,211,213,213,213,188,191,185,216,223,192,172,151,143,123,129,184,243,217,202,196,166,129,100,92,80,118,220,209,212,212,212,211,190,189,189,231,215,192,172,155,152,154,174,243,237,209,182,181,155,117,97,95,90,182,216,210,210,211,210,208,190,187,199,236,209,192,183,164,161,156,223,246,229,200,167,167,145,105,100,90,164,219,209,212,211,211,210,209,190,186,208,235,208,200,192,164,167,200,244,236,216,192,160,152,134,103,89,137,220,210,212,212,213,212,211,211,191,187,210,236,212,206,196,167,188,229,231,226,209,177,152,142,122,95,101,205,214,211,212,212,212,213,212,212,191,189,204,232,215,209,196,176,201,229,220,207,204,166,145,132,112,84,162,220,211,212,212,213,213,213,213,212,191,189,202,232,217,208,194,190,200,224,206,199,181,162,133,123,100,107,213,211,213,213,213,214,215,213,211,213,192,187,206,228,210,200,190,194,199,213,194,196,165,155,123,114,84,153,224,211,213,214,213,214,215,213,212,211,191,187,213,213,196,193,187,193,202,201,181,194,176,139,118,106,88,194,215,212,213,213,213,215,215,214,213,212,192,188,215,194,186,190,188,191,203,194,181,193,175,132,113,90,131,222,209,213,214,213,213,214,215,213,213,213,191,188,224,207,197,198,201,199,207,187,178,182,158,126,103,99,200,215,213,215,214,214,214,215,215,214,213,214,188,191,234,217,199,203,209,204,211,170,169,168,141,118,90,169,222,212,213,214,215,215,215,215,215,215,214,214
7,221,223,226,227,229,230,231,232,233,233,234,234,235,235,236,235,234,234,234,234,234,234,232,231,230,229,226,226,224,225,227,229,231,232,233,236,235,235,236,236,236,236,237,237,236,236,236,236,236,237,234,234,232,230,229,228,226,228,230,230,232,233,235,237,237,237,237,237,237,237,237,238,238,238,237,237,237,238,236,236,235,232,231,229,226,229,231,232,234,236,236,237,239,238,239,239,239,239,239,240,240,240,240,239,238,239,238,237,236,235,233,232,228,230,231,233,235,237,238,239,241,240,240,241,241,242,243,243,243,242,241,242,241,241,241,239,237,236,235,234,229,231,234,236,236,239,240,241,241,243,243,243,243,244,243,243,244,243,243,243,243,243,241,240,239,237,237,236,230,234,237,238,239,241,241,242,244,244,244,245,245,245,244,244,244,245,245,245,245,244,243,242,241,241,239,238,232,236,238,240,241,242,243,244,245,245,246,246,245,247,247,247,247,247,247,247,246,245,244,244,243,243,241,239,235,237,239,241,242,243,245,247,247,246,249,249,247,248,249,249,249,249,249,248,248,247,245,245,244,243,243,241,235,237,240,243,245,246,246,246,250,251,241,246,249,249,248,250,250,251,251,250,248,248,245,245,247,245,244,243,236,240,242,243,244,246,250,255,255,255,224,209,229,242,240,239,242,246,240,244,238,244,232,255,252,239,247,244,237,240,241,246,251,255,255,255,255,255,246,200,201,222,229,229,227,220,222,225,224,229,218,226,213,243,248,246,238,245,255,255,255,255,255,253,246,245,232,198,189,200,217,226,227,228,223,215,219,220,208,215,211,237,248,244,255,255,255,255,255,251,245,235,231,244,246,208,183,180,183,194,205,211,202,208,214,215,211,224,218,225,221,232,255,255,255,250,243,240,236,237,240,249,246,211,188,194,193,187,177,164,195,203,201,201,197,199,207,207,216,247,255,255,249,239,232,228,229,229,237,243,225,197,180,185,200,206,197,178,207,255,255,251,251,252,249,252,255,253,255,255,249,238,229,229,230,224,225,238,235,201,170,169,183,187,191,179,192,255,255,255,255,255,255,255,254,253,255,255,251,242,236,233,235,234,232,244,245,210,188,195,194,187,184,160,242,255,255,255,255,255,255,255,255,254,252,248,246,244,242,238,235,233,232,237,237,212,198,206,203,197,181,205,255,255,255,255,255,255,255,255,255,255,239,238,240,243,244,239,233,229,230,223,205,194,177,174,182,189,168,251,255,255,255,255,255,255,255,255,255,255,167,179,206,235,241,231,222,211,200,190,186,184,134,129,152,169,194,255,255,255,255,255,255,255,255,255,255,204,98,99,113,144,186,201,190,198,206,230,252,255,183,149,176,199,253,255,255,255,255,255,255,255,250,231,201,151,98,93,89,88,89,121,238,255,255,255,255,255,255,233,254,255,255,255,255,255,255,255,255,224,172,156,142,134,91,88,86,88,69,141,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,179,143,150,148,139,130,86,84,80,82,65,132,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,184,135,116,130,134,127,126,84,84,83,86,57,125,255,254,255,255,255,255,255,255,255,255,255,255,255,254,180,160,143,111,106,125,121,117,92,92,88,77,53,97,187,180,183,187,189,192,195,198,198,201,203,201,211,186,122,149,141,104,99,109,113,111,101,96,81,61,57,92,161,155,154,156,157,157,158,158,160,159,158,162,178,161,113,141,136,100,94,103,106,108
6,209,210,210,210,211,211,213,213,213,213,213,212,212,211,211,212,210,209,210,210,208,206,206,206,205,203,202,202,211,212,212,212,212,212,214,214,214,214,214,214,214,213,214,214,212,211,210,210,210,207,207,207,206,205,204,203,211,213,214,214,214,214,214,215,216,216,216,216,216,216,217,216,215,213,211,211,211,210,208,207,205,205,205,202,212,213,214,215,215,215,215,216,217,217,218,217,216,216,217,216,216,214,213,212,212,210,209,209,207,207,207,205,214,215,215,217,217,217,217,217,217,217,216,217,219,218,218,218,217,216,215,215,213,212,212,210,209,209,207,206,217,216,217,218,219,218,217,217,217,217,217,218,219,218,218,217,217,217,216,216,215,215,213,212,211,210,208,208,217,217,219,218,218,219,219,219,219,219,218,219,220,220,219,219,218,218,216,217,215,215,213,212,211,210,210,210,219,220,220,220,220,220,221,220,219,219,221,222,222,223,223,222,220,220,218,218,218,218,215,215,212,208,210,210,220,220,220,221,221,221,222,224,223,223,218,217,221,220,220,218,219,219,221,212,215,210,212,208,206,227,217,208,221,221,222,222,224,226,228,229,226,219,203,188,208,218,221,219,222,217,210,211,213,209,214,208,210,235,198,206,224,225,226,227,227,223,218,219,222,219,214,177,166,197,207,207,205,199,194,193,188,188,187,186,181,180,193,216,225,221,221,221,220,214,213,217,217,217,218,183,144,141,140,155,159,166,170,170,178,185,190,192,196,206,217,214,218,214,214,213,210,206,207,204,200,194,184,162,151,148,132,156,207,215,218,221,223,224,225,223,222,225,222,221,218,211,205,200,200,203,202,196,194,200,198,162,142,146,159,153,176,225,231,224,224,223,221,222,218,197,185,185,216,207,198,195,197,197,199,199,202,214,218,174,141,132,148,159,146,153,215,228,224,224,224,222,168,138,138,135,213,205,196,189,186,189,197,202,206,205,194,176,156,150,146,144,154,143,170,233,225,222,232,191,137,146,142,138,215,209,200,193,189,189,190,193,205,210,181,157,160,164,162,151,145,138,176,229,222,226,222,163,139,137,134,135,211,208,203,197,193,193,191,188,193,207,195,157,132,151,172,171,155,135,206,235,228,224,157,135,125,112,106,95,207,207,206,201,195,195,195,195,203,210,184,158,148,144,149,162,167,146,181,197,170,151,128,125,114,102,94,87,196,208,209,208,201,197,196,193,197,205,188,165,160,164,155,144,151,150,142,138,135,125,119,111,105,98,90,90,134,195,213,206,203,202,196,193,183,183,180,170,178,176,166,163,147,124,120,132,133,125,119,110,101,95,88,86,77,109,187,193,180,178,172,171,170,157,149,135,152,165,174,169,146,113,98,119,121,114,114,115,107,95,86,84,80,74,91,175,199,199,206,211,222,220,142,130,132,150,162,143,141,118,97,99,115,111,107,113,114,98,88,82,72,59,121,208,212,212,214,215,215,219,203,181,173,164,136,114,141,115,93,87,100,107,103,107,115,105,89,82,62,62,135,146,142,143,146,146,148,150,155,155,165,160,118,106,138,114,87,87,94,98,99,103,112,108,90,83,65,61,127,145,141,140,141,141,142,140,137,148,158,149,109,101,130,108,85,86,92,93,94,97,105,107,93,82,65,59,141,150,146,148,147,144,144,146,153,146,128,123,112,96,124,103,87,78,88,90,92,94,99,105,98,85,52,75,153,147,148,147,149,148,148,145,136,124,122,111,109,97,118,100,86,81,82,85,88,91,97,102,99,87
2,126,128,132,135,137,139,140,143,145,146,148,149,151,152,152,155,152,157,157,159,161,160,160,162,161,161,162,162,126,129,133,136,138,139,142,143,145,146,148,149,152,151,155,153,114,136,152,157,129,146,167,160,163,163,162,163,127,128,134,136,139,140,142,144,146,147,148,150,149,155,156,129,92,101,140,140,99,115,155,162,162,163,163,163,127,130,135,137,139,140,143,145,147,149,148,152,159,154,126,99,83,94,116,117,110,111,101,154,164,162,163,163,129,131,135,138,140,141,144,147,149,150,151,167,165,132,92,85,87,95,94,108,115,115,82,121,170,163,163,164,129,132,135,138,141,143,145,148,150,149,164,170,143,104,75,75,83,97,94,108,109,103,98,150,168,165,165,165,131,133,136,139,142,144,145,149,148,156,174,141,104,78,70,64,82,107,116,104,121,133,155,169,166,167,167,167,130,133,137,140,143,144,147,148,146,171,160,111,81,78,78,76,99,102,105,144,169,168,169,166,168,168,168,168,130,134,137,140,143,146,148,145,164,170,135,101,77,79,79,89,87,112,154,169,165,165,167,167,168,168,168,168,131,134,138,141,143,147,146,152,174,148,111,77,73,74,85,93,105,171,166,165,166,167,168,169,169,169,169,169,132,135,138,141,146,148,146,174,167,130,97,80,82,74,88,87,138,169,164,167,167,168,169,170,170,170,171,170,133,137,139,142,148,145,165,187,162,124,99,88,87,83,81,107,166,165,166,167,168,169,170,170,169,170,172,172,134,137,141,144,146,144,187,178,147,117,92,86,84,88,88,153,169,166,167,168,169,169,171,173,172,172,173,172,134,137,141,145,145,158,195,170,138,109,88,84,83,84,111,170,166,168,168,168,169,170,171,171,172,173,173,173,135,138,141,145,143,180,189,160,131,101,85,84,86,84,140,170,166,169,169,169,170,172,172,174,175,173,175,173,135,139,143,143,153,196,179,152,126,97,84,85,85,78,154,170,167,169,169,171,171,173,174,163,149,140,152,177,135,139,144,140,179,195,171,144,118,92,82,86,86,79,117,173,168,168,169,172,177,169,150,144,139,114,124,179,135,140,142,150,195,181,160,139,115,91,81,83,86,94,90,129,169,172,173,171,156,148,148,140,121,136,171,175,136,141,137,174,194,173,155,131,109,88,80,83,90,99,108,99,111,142,148,143,135,141,150,114,143,181,175,175,136,138,143,193,184,172,148,123,106,90,77,87,97,109,118,117,107,124,134,148,152,146,123,116,178,174,175,176,137,134,168,194,175,163,140,125,109,90,77,98,114,126,131,125,121,134,145,144,135,126,129,164,178,176,175,176,136,140,190,182,174,160,141,128,109,90,83,111,126,130,135,133,123,132,131,120,138,163,177,176,176,176,175,176,130,164,194,177,172,159,139,126,109,91,89,120,128,128,134,137,109,107,132,162,178,177,175,175,175,177,177,177,136,191,186,175,170,154,133,121,108,91,93,124,126,123,135,116,115,151,174,175,174,174,176,175,176,177,177,177,166,194,175,172,167,144,121,112,100,88,103,118,126,122,118,133,172,176,173,173,174,175,174,176,177,177,177,177,189,180,170,161,156,135,116,106,95,94,106,110,121,112,144,173,171,171,174,174,175,175,174,176,178,177,177,177,179,173,164,153,155,123,107,104,97,102,92,104,135,157,172,169,171,173,174,174,175,175,175,176,177,177,177,177,175,170,159,147,157,117,99,105,104,95,112,154,166,170,169,171,170,172,174,174,175,175,175,177,178,178,177,177
6,187,191,194,197,201,205,207,210,212,214,217,216,218,220,222,222,223,223,223,223,224,225,225,224,223,223,221,221,187,192,196,199,203,205,208,211,213,215,217,218,220,221,222,223,223,223,225,225,225,225,225,224,224,224,223,222,188,191,195,199,203,206,208,211,213,215,218,219,220,221,223,225,224,224,225,226,225,225,225,225,225,225,224,223,189,192,196,200,205,208,212,213,214,216,218,220,222,223,224,225,225,225,227,227,226,227,228,226,225,224,225,225,189,195,198,202,205,208,211,213,215,217,218,221,223,225,224,225,227,229,229,228,228,228,228,227,228,226,227,227,190,194,199,203,207,210,212,215,217,217,219,222,225,225,224,225,229,228,230,230,229,230,232,231,231,228,227,227,192,196,199,204,206,209,212,215,217,216,218,217,220,223,219,220,221,227,226,219,219,207,205,217,225,229,229,228,192,197,202,201,209,223,228,215,217,225,229,232,236,240,225,229,229,246,242,227,222,203,187,209,213,194,231,228,191,192,195,217,241,247,238,214,196,206,231,238,240,237,224,219,231,226,222,221,211,196,186,196,188,179,234,228,187,202,231,249,246,242,236,222,178,149,173,181,184,187,187,185,178,172,178,177,174,174,182,190,195,223,232,228,223,250,249,237,238,245,249,225,177,133,122,115,117,143,155,167,192,214,220,222,225,228,231,231,233,231,229,229,251,243,237,241,248,246,225,181,162,140,131,132,121,132,205,237,235,232,232,234,234,233,231,231,230,229,230,230,247,243,244,242,242,230,213,186,154,136,129,140,145,132,139,170,232,234,232,233,232,232,233,232,232,231,230,230,247,247,244,242,242,242,249,219,155,137,121,122,142,147,145,113,148,235,233,233,234,233,233,233,232,233,231,231,241,243,241,240,242,253,248,201,156,142,144,139,130,131,145,143,107,162,241,232,234,234,232,232,232,232,231,229,239,240,237,235,245,254,218,178,158,150,147,149,147,120,117,125,127,130,235,235,235,233,233,232,232,233,231,231,230,231,228,228,237,238,212,177,147,137,146,157,167,143,128,117,113,163,234,230,231,229,228,228,228,228,228,228,232,232,230,227,234,235,224,182,144,119,116,131,171,167,147,129,121,147,159,155,153,153,151,152,150,149,147,147,235,236,238,235,243,242,223,170,142,146,142,136,126,139,149,141,138,125,120,122,123,124,122,119,118,119,117,116,233,232,229,228,241,231,207,167,150,154,153,147,139,129,124,132,134,131,131,132,132,132,131,129,128,129,128,126,223,215,208,216,223,210,193,171,160,158,157,145,135,129,131,137,137,136,133,130,129,129,129,130,129,127,126,125,207,201,195,206,206,189,172,161,150,143,151,148,145,142,138,138,137,137,133,133,131,129,130,130,130,129,129,127,190,187,178,174,169,155,142,136,132,123,126,133,139,140,135,133,135,133,132,131,130,129,129,130,129,128,127,128,164,155,143,137,136,137,139,138,137,138,136,134,137,136,135,135,134,134,133,133,130,130,130,130,129,127,128,122,128,133,135,136,138,139,139,139,138,138,139,138,138,137,136,136,133,133,133,134,130,129,130,129,129,128,120,144,134,138,139,138,138,138,137,138,138,137,137,135,136,136,135,133,132,132,132,131,130,129,130,129,132,120,131,232,138,139,139,140,140,138,138,137,137,137,137,136,136,136,135,133,133,132,132,132,131,131,131,133,131,118,216,236,138,138,139,138,137,137,137,136,136,136,135,137,136,135,135,134,133,131,132,133,131,131,130,138,121,186,247,206
0,182,183,182,183,182,182,182,181,180,180,178,179,178,176,175,175,174,173,171,170,169,167,166,165,164,162,160,159,183,184,183,184,184,183,183,183,182,180,179,180,179,179,177,176,175,174,174,172,170,168,166,165,163,163,162,162,183,184,184,185,185,185,185,184,183,182,181,180,180,179,179,177,174,174,173,171,171,171,167,166,164,164,162,161,186,186,186,186,186,187,187,186,184,182,183,182,185,185,179,181,182,177,172,172,170,171,170,168,167,165,162,162,185,188,188,189,188,187,185,185,188,188,183,168,133,146,186,161,143,163,181,176,177,175,169,172,169,167,164,163,188,190,189,190,189,186,186,177,151,164,180,144,106,72,126,128,92,70,152,145,127,157,176,164,167,168,166,165,190,190,189,190,188,188,186,165,128,101,138,159,111,71,83,142,103,62,61,110,72,53,145,129,127,175,165,164,191,190,190,190,189,189,188,183,155,121,87,156,121,81,83,147,112,69,67,128,97,39,66,127,90,177,166,165,191,191,191,191,189,194,184,174,162,133,72,137,129,86,82,146,115,70,55,123,98,47,35,114,82,167,170,167,193,192,192,191,190,196,180,133,163,112,59,139,124,77,74,136,103,60,35,97,77,37,30,115,66,128,179,168,193,192,193,192,191,191,149,102,156,90,56,130,98,52,65,121,87,46,40,115,89,25,36,122,95,70,166,171,193,192,193,193,195,191,165,130,154,103,73,121,98,49,63,123,87,33,88,141,98,15,42,122,112,56,109,183,194,195,194,193,197,186,160,130,134,114,78,128,121,52,84,143,103,38,120,151,66,8,96,132,111,46,93,183,195,197,197,196,191,158,123,103,87,69,62,141,118,46,94,150,108,42,9,48,1,53,138,136,92,32,144,175,197,197,197,197,191,162,128,96,64,51,47,84,90,41,36,91,68,37,44,5,33,129,138,121,51,78,183,169,197,196,198,194,184,160,133,97,70,68,71,62,72,69,50,55,96,133,141,121,103,132,120,87,33,152,179,171,199,198,199,193,183,164,137,103,73,64,73,81,101,116,123,143,156,145,130,131,97,102,106,42,69,187,171,174,199,199,200,197,187,166,140,115,85,73,75,92,129,144,158,161,153,137,125,117,85,76,82,18,138,185,173,174,199,200,199,196,190,166,145,122,97,96,80,123,164,163,164,159,147,130,120,112,74,58,32,60,188,178,177,174,199,200,199,196,193,173,152,132,115,112,117,159,171,166,166,157,141,125,112,95,60,26,32,165,183,178,179,176,200,200,199,197,194,175,157,141,128,120,153,164,169,172,164,145,134,115,97,76,30,21,159,187,178,179,178,177,199,201,201,194,191,180,164,147,130,127,164,165,172,170,154,131,117,103,82,46,11,148,191,178,182,182,179,177,200,201,201,193,188,183,168,152,131,125,161,167,162,156,136,115,99,86,54,9,134,195,180,183,182,183,180,179,201,202,203,196,188,186,173,163,144,128,155,163,149,138,120,99,80,50,7,121,199,183,185,184,182,182,181,179,201,201,204,199,193,181,173,164,153,136,153,152,136,119,106,83,48,6,118,199,185,188,185,184,182,181,180,180,200,200,203,197,189,177,185,179,164,146,147,141,118,104,91,52,6,125,203,187,189,189,186,185,184,182,180,180,201,201,203,195,191,177,187,180,157,142,136,130,104,82,64,17,128,206,189,192,191,190,188,187,184,183,182,180,203,203,200,191,183,166,182,166,150,140,129,111,91,71,27,79,209,191,193,191,192,189,188,187,184,184,184,181
8,113,120,125,130,136,141,144,147,151,154,157,158,160,161,162,163,163,164,164,164,165,164,164,164,164,163,163,162,116,123,128,134,140,145,148,151,155,158,161,162,164,164,165,165,166,166,167,167,166,166,165,165,165,164,164,163,121,127,132,139,145,150,154,169,148,160,166,168,169,170,170,170,169,170,172,171,170,170,169,168,167,167,166,165,124,132,135,142,150,154,162,186,129,149,173,174,175,175,175,176,175,175,176,175,175,174,173,172,171,171,170,168,127,134,139,146,153,158,170,198,124,139,179,179,181,182,182,182,182,181,181,180,181,180,178,177,176,176,175,173,132,138,142,150,157,162,174,205,125,136,185,185,185,187,187,187,187,184,186,189,176,176,184,183,182,181,181,178,136,141,146,154,161,166,176,204,130,136,189,189,190,189,185,192,201,157,155,204,171,136,175,189,188,187,186,183,139,144,150,158,165,171,181,211,143,131,191,193,202,204,161,180,207,161,129,178,176,135,137,191,193,192,190,188,142,147,154,163,170,175,185,215,161,138,188,198,224,232,209,194,177,169,176,193,151,108,109,177,197,196,194,193,144,149,158,167,174,178,186,218,184,164,186,212,224,224,226,189,172,176,181,180,152,106,80,157,202,199,198,197,148,153,161,170,178,183,187,214,194,185,204,216,198,180,225,194,166,169,155,148,162,125,83,165,205,202,201,200,151,156,164,173,180,187,190,213,211,191,207,214,194,152,181,202,139,111,106,152,180,144,104,181,209,206,204,202,154,159,168,177,184,190,193,214,225,176,193,190,178,160,154,195,142,84,75,182,201,164,114,152,211,209,208,206,156,161,170,180,186,192,196,214,232,173,154,177,151,147,146,180,162,117,85,171,219,184,127,109,201,213,211,209,158,163,173,182,188,194,199,212,234,195,135,147,148,137,155,178,175,135,166,215,213,184,133,94,176,218,214,213,159,165,176,185,192,197,202,213,241,216,157,127,157,143,177,211,188,172,220,224,193,155,125,99,178,221,217,215,161,168,179,186,193,199,205,212,242,227,181,135,137,151,184,224,219,231,233,207,178,139,110,108,204,223,220,219,164,170,181,189,195,200,206,213,243,237,203,159,133,152,177,227,233,240,229,197,160,127,96,140,227,227,219,203,164,171,182,190,197,203,208,214,241,242,216,178,151,155,169,219,238,235,214,182,147,117,92,175,196,158,122,87,165,171,183,192,199,204,209,213,236,241,225,191,173,163,165,201,233,230,202,166,135,108,85,101,77,59,57,59,166,173,184,193,200,206,211,215,229,237,231,203,188,178,155,186,215,220,193,154,127,100,69,48,48,49,47,57,167,175,186,195,202,207,212,216,221,234,232,213,196,186,152,177,194,209,181,144,118,92,58,42,42,53,42,46,167,175,186,195,201,207,213,217,217,226,229,217,200,183,151,152,184,186,166,131,107,76,54,42,32,48,51,40,166,174,186,195,201,206,212,217,218,216,228,219,202,178,150,134,168,168,151,123,98,52,39,51,33,35,51,46,167,176,187,195,201,206,211,217,221,214,233,228,204,178,151,130,147,159,138,114,84,32,23,46,46,30,41,49,168,177,188,196,202,207,212,217,221,215,232,224,196,173,152,131,135,144,129,102,70,39,14,31,50,40,31,45,167,177,188,196,202,207,212,217,221,207,233,208,181,176,160,136,128,133,127,90,52,50,16,18,43,50,34,35,165,173,182,190,198,204,211,216,214,181,239,210,189,191,169,137,123,126,122,75,35,51,26,11,33,50,42,35
24,93,104,116,125,133,137,139,144,151,155,159,162,164,166,170,172,173,175,177,178,179,179,179,178,178,178,177,177,94,105,117,127,134,138,140,146,152,157,160,164,166,169,171,173,175,177,179,180,180,181,181,180,180,180,179,179,95,106,118,128,136,140,143,149,154,158,162,166,169,172,174,175,177,179,180,181,182,182,182,181,181,181,181,181,96,108,120,131,138,143,145,150,156,160,164,168,171,174,176,178,179,181,182,183,183,184,184,184,183,183,183,182,97,109,121,132,143,157,142,145,158,162,166,169,172,175,178,180,181,183,184,185,186,186,186,186,186,185,185,185,98,109,122,133,147,163,128,129,157,164,168,171,174,177,180,182,184,185,186,187,188,188,187,187,187,187,187,187,99,110,123,134,145,154,118,111,152,166,170,174,176,180,182,185,186,186,188,190,190,189,189,189,189,188,188,188,100,112,125,135,143,152,122,101,141,167,171,174,178,178,177,187,189,171,173,188,192,191,191,191,191,190,190,189,101,113,126,137,144,151,136,105,123,163,171,167,181,177,151,173,191,156,134,170,192,194,193,193,193,192,192,192,102,114,127,138,145,151,152,118,109,157,181,164,184,184,140,160,182,143,107,134,187,196,195,194,194,194,194,193,103,115,128,139,147,151,156,138,122,163,200,179,194,192,148,172,172,119,90,107,172,197,197,196,196,196,195,194,104,116,129,140,148,152,159,163,146,174,212,184,191,190,149,179,165,103,79,93,150,196,198,198,198,197,192,185,105,117,130,141,149,153,158,170,170,189,210,179,179,186,151,185,167,98,77,88,125,190,201,200,198,193,180,164,106,118,131,142,150,154,158,177,200,195,198,175,163,175,153,193,165,89,74,85,101,168,199,198,198,189,162,132,107,119,133,144,151,155,160,182,202,183,177,160,139,158,150,180,138,78,79,93,101,141,184,190,190,167,130,114,109,121,134,145,152,156,162,183,211,192,169,150,132,150,140,119,92,90,102,119,134,150,169,172,157,129,123,154,110,122,135,146,153,157,162,182,216,203,172,153,149,159,161,128,127,153,159,164,163,157,151,139,121,132,173,198,110,123,136,147,154,157,162,180,214,209,182,160,157,169,188,189,198,200,191,179,162,141,123,110,129,180,204,207,111,124,137,147,154,157,163,178,212,210,185,166,172,198,218,222,214,200,186,167,143,117,102,121,177,206,209,208,112,124,137,147,154,158,163,176,207,211,191,177,183,207,225,225,211,191,170,146,118,102,124,175,207,211,211,209,113,125,137,148,155,159,164,173,200,212,198,183,181,205,221,218,202,178,151,122,107,138,186,208,213,213,212,211,113,125,138,149,156,159,165,173,193,210,196,176,172,197,206,197,183,159,129,110,143,195,212,214,214,214,213,212,112,125,137,149,156,159,164,172,188,202,184,166,170,193,191,174,154,127,106,139,195,213,214,215,215,214,213,212,112,125,137,148,155,158,163,171,185,199,185,174,178,193,182,155,129,100,115,185,212,214,214,214,214,213,213,213,112,124,138,148,155,158,164,172,187,211,203,190,185,190,172,140,114,96,149,205,213,214,215,215,215,214,214,214,111,124,138,149,155,158,164,173,187,216,212,195,183,184,161,131,105,102,172,211,214,215,216,216,215,215,215,215,111,124,137,148,155,158,164,172,184,207,201,184,179,181,156,130,96,104,183,213,215,216,216,216,216,216,216,216,110,123,137,148,155,158,164,171,184,200,189,171,172,175,152,124,86,105,188,214,216,216,216,216,216,216,216,216
15,86,87,87,88,90,92,93,95,97,101,109,119,129,137,144,148,151,153,154,158,162,165,168,170,173,174,176,177,88,88,87,88,90,93,93,95,98,101,109,120,130,138,143,148,151,153,156,159,162,166,169,171,173,175,177,179,90,87,87,88,90,93,93,95,98,102,112,121,129,138,143,149,152,155,158,160,163,166,170,172,173,176,178,180,90,88,87,88,89,92,92,95,99,102,112,121,130,138,144,150,153,156,158,161,165,167,171,173,175,178,181,182,89,88,87,88,87,93,128,114,101,101,112,123,132,138,145,151,154,155,158,160,165,167,171,173,175,179,181,183,89,87,87,88,86,109,180,165,140,123,117,123,130,138,146,151,154,155,157,161,165,169,172,175,177,179,180,182,89,88,88,88,87,100,159,167,155,156,146,143,135,133,138,144,149,153,157,162,167,170,172,175,178,179,181,183,88,88,88,89,89,89,108,131,124,137,146,152,152,149,139,137,136,140,143,146,152,160,167,176,178,181,182,184,88,88,88,88,89,91,92,99,102,113,123,125,141,152,148,144,140,145,149,144,130,124,119,147,179,181,184,186,88,87,88,88,89,91,93,96,97,105,111,111,120,136,136,133,128,142,161,164,147,130,111,96,147,184,184,186,88,88,87,88,89,90,93,96,97,105,116,124,130,133,132,130,119,141,160,164,155,144,133,106,103,161,185,186,89,88,87,88,89,91,93,95,97,104,115,125,134,141,145,144,143,168,165,161,163,158,150,131,108,107,167,188,89,88,88,88,89,91,93,95,98,105,115,127,136,141,148,154,171,184,155,146,170,157,161,153,126,95,108,174,88,88,88,88,89,91,92,95,98,103,138,146,144,143,139,152,176,151,135,121,172,146,169,168,135,105,86,115,87,87,87,88,89,90,91,94,96,106,161,161,163,168,155,131,134,118,94,98,160,135,170,169,137,112,91,81,87,87,87,87,88,90,91,94,96,105,137,144,166,184,166,133,132,128,107,107,140,142,161,162,137,116,94,84,87,87,86,86,86,89,91,93,96,104,117,131,153,170,149,135,148,143,138,139,137,132,124,134,127,110,92,86,85,85,85,85,85,86,88,90,94,103,116,125,136,140,125,134,148,146,147,155,151,129,98,100,107,100,94,89,84,82,83,84,85,86,87,89,93,103,115,124,130,161,142,117,123,140,151,156,151,123,94,91,95,93,95,96,84,82,82,82,84,85,87,89,93,102,115,125,129,179,173,115,70,83,126,143,143,117,94,94,94,93,97,97,84,82,81,81,83,84,87,88,93,104,115,125,130,171,167,110,67,58,75,119,123,102,93,95,96,96,98,98,84,82,81,81,83,84,86,87,92,103,115,125,130,167,165,101,87,86,67,95,117,102,97,100,103,101,99,96,81,80,79,79,81,84,86,85,90,100,113,123,130,162,163,92,118,113,95,101,118,125,115,111,105,102,97,94,79,78,77,77,79,81,83,84,89,99,110,121,128,162,167,83,124,150,98,125,125,121,107,101,96,95,94,94,80,78,77,76,78,78,80,81,85,97,109,119,126,165,155,81,118,170,111,111,153,106,100,93,82,83,85,85,124,121,118,115,113,112,111,112,114,118,125,129,132,148,117,90,137,156,110,121,162,144,150,125,78,70,70,71,111,110,108,107,106,107,109,111,112,110,109,106,105,109,92,96,115,115,105,114,122,123,121,117,91,75,75,81,102,101,101,100,99,99,100,100,99,100,99,95,94,98,100,102,100,99,101,102,101,100,99,100,100,96,99,98
0,212,212,214,213,213,215,216,216,216,216,215,216,216,215,215,214,216,219,216,215,216,215,216,216,214,214,215,215,213,214,215,215,214,215,215,216,216,218,216,216,216,217,217,222,205,191,214,220,215,220,218,217,218,216,217,217,214,215,215,216,215,216,216,216,217,218,218,218,212,194,208,234,194,170,165,188,180,189,219,203,195,219,217,219,214,215,216,216,217,218,217,217,217,219,221,237,213,184,169,218,199,191,153,134,172,160,176,194,154,223,217,219,216,216,217,217,219,218,219,218,219,202,219,244,211,198,169,219,211,197,163,144,187,171,150,189,152,219,220,219,216,216,217,218,219,220,216,226,235,187,174,234,220,206,169,216,228,202,166,154,198,170,137,177,148,208,224,220,216,216,218,219,220,220,217,239,234,201,177,213,238,206,167,205,236,205,162,157,203,165,125,168,148,168,231,217,217,217,218,220,221,217,231,226,229,212,188,184,242,204,164,189,240,200,156,139,186,158,118,160,164,126,215,224,218,218,219,221,219,224,232,205,234,221,192,163,234,206,163,162,230,188,147,121,163,149,114,162,172,121,194,230,219,219,220,221,219,232,218,186,222,223,193,152,215,204,160,138,203,178,146,119,148,139,114,174,179,128,193,230,219,220,221,220,221,233,220,195,206,211,182,140,187,193,156,122,180,174,147,117,150,135,134,198,190,134,194,231,218,218,219,218,227,225,207,180,179,200,174,135,165,189,153,108,162,176,138,116,165,135,169,211,190,135,198,231,217,218,219,217,228,238,216,187,155,192,171,127,156,188,153,104,161,185,139,174,198,158,172,211,190,137,207,229,216,219,220,218,226,240,220,193,152,153,176,137,149,197,162,110,155,191,189,210,200,182,155,186,188,137,212,228,218,220,221,218,229,241,225,203,176,142,160,157,146,201,177,168,203,210,208,199,189,174,161,148,158,129,211,229,219,220,221,218,229,243,231,210,190,177,168,172,188,198,209,224,224,217,205,196,181,162,156,142,134,124,208,230,219,220,221,219,228,240,234,217,202,194,186,178,189,207,217,222,223,221,207,193,178,159,147,140,130,127,219,228,218,220,222,220,226,236,235,225,214,205,192,186,185,202,214,220,218,215,204,187,176,157,143,136,124,179,232,226,219,220,222,219,219,235,235,234,223,210,195,189,188,201,216,223,215,208,200,185,171,153,140,123,168,230,225,226,211,212,216,217,211,230,236,239,224,211,198,189,189,203,220,220,212,204,197,183,165,148,128,145,228,228,228,228,151,151,154,159,151,216,236,233,221,213,201,190,185,204,216,210,200,193,186,173,156,144,124,186,221,217,221,220,138,139,139,141,125,189,235,219,215,215,206,194,183,201,212,202,188,175,166,158,147,137,136,147,151,149,147,157,144,144,145,146,133,178,232,209,215,217,207,194,183,196,210,197,179,157,147,142,134,138,144,137,134,147,184,217,143,141,141,144,135,171,231,205,216,216,204,195,185,193,205,192,164,141,135,131,142,144,143,156,192,231,239,228,143,141,141,145,137,167,239,215,217,213,199,194,186,183,192,183,150,133,130,136,142,154,206,236,248,237,228,218,141,141,142,144,136,162,242,223,221,211,198,195,191,176,185,177,143,131,129,135,172,233,251,247,243,236,241,233,143,142,142,144,137,160,233,227,224,209,199,196,192,171,180,174,139,125,124,188,239,242,244,244,231,231,240,244,144,142,143,145,136,160,225,225,222,204,196,196,193,169,174,169,138,113,166,243,228,242,239,232,228,232,237,242
6,205,208,211,211,211,211,213,212,211,211,211,210,208,208,208,208,207,206,203,202,201,200,199,199,198,196,192,191,208,209,211,214,215,215,215,214,214,214,215,213,211,208,208,208,207,206,205,204,204,204,203,200,200,197,195,192,208,210,213,215,216,216,217,216,216,215,214,214,212,211,210,210,210,207,206,205,205,204,202,200,200,199,197,195,209,212,215,216,217,219,218,218,220,218,217,217,214,214,212,211,212,211,208,208,207,206,204,203,202,200,198,198,212,214,216,218,220,221,220,219,221,219,218,218,218,216,215,215,215,213,209,205,205,204,205,200,199,196,190,195,213,215,217,221,222,222,223,222,222,222,223,222,219,215,207,203,197,197,194,167,173,188,187,169,184,175,196,228,215,217,219,221,223,223,222,223,221,220,207,196,199,201,194,197,199,199,188,182,173,198,196,177,186,181,186,213,215,218,221,223,223,224,223,222,227,227,196,175,188,201,204,209,211,208,188,167,167,162,163,147,138,138,128,138,217,220,221,223,224,225,225,220,239,236,205,190,178,179,180,174,170,160,150,137,108,108,93,115,150,157,179,195,219,220,223,224,225,226,227,225,249,241,224,205,183,168,162,153,146,133,116,92,62,48,65,196,218,213,211,206,221,222,224,224,227,229,224,238,254,248,236,195,157,153,161,169,165,157,144,136,132,83,167,222,207,208,206,205,221,223,226,225,228,230,224,250,255,253,222,160,136,147,152,165,169,164,153,142,144,99,177,221,212,210,208,206,222,225,228,228,230,227,228,255,253,249,187,144,153,147,134,142,162,146,138,138,123,81,186,221,214,211,209,207,223,225,229,229,232,222,241,255,249,248,212,193,170,151,123,133,165,153,149,151,120,112,222,216,215,213,211,208,224,227,228,231,229,228,253,252,252,254,251,232,179,148,160,168,166,154,141,126,126,107,199,222,215,214,211,209,225,229,229,233,223,241,255,254,255,249,249,236,168,136,146,152,154,146,127,118,116,85,198,222,215,215,213,210,224,228,230,228,224,248,253,255,249,243,238,215,166,142,134,123,131,138,134,126,95,122,224,218,217,217,213,208,223,224,230,213,233,250,252,252,242,235,228,223,202,177,132,95,115,138,131,127,88,173,228,214,217,214,208,211,223,229,220,207,247,251,252,245,244,244,232,226,235,208,147,119,141,159,142,118,102,113,222,216,214,213,221,197,226,231,207,226,247,250,247,246,249,240,226,237,235,190,131,118,128,125,114,101,82,108,222,220,225,217,153,75,228,215,218,241,244,244,241,235,229,225,225,233,209,161,125,122,116,104,93,87,97,198,232,210,153,88,40,33,222,209,233,238,243,234,225,219,211,216,212,193,165,136,122,106,94,143,156,178,205,183,127,69,33,30,31,31,209,218,236,236,238,224,211,207,204,200,196,168,143,129,134,117,150,189,154,128,83,47,18,11,21,28,25,22,197,233,233,233,221,208,194,188,199,191,179,165,153,131,103,70,63,36,22,19,22,32,2,8,15,21,19,20,215,237,233,227,216,205,187,179,179,169,155,143,118,85,51,27,13,20,19,24,29,19,0,2,8,16,18,15,231,234,231,221,209,186,164,162,150,129,114,97,69,38,26,37,10,7,12,18,24,13,0,0,4,14,15,11,236,233,228,224,192,152,150,145,133,115,78,50,31,19,19,33,17,0,13,14,17,7,0,0,5,16,12,12,236,231,226,215,156,143,166,150,123,94,41,28,17,14,14,25,18,3,13,2,13,0,0,0,6,14,8,7
23,172,172,173,171,172,174,173,172,170,169,169,167,166,165,164,164,163,161,158,157,156,154,151,150,149,142,23,0,176,175,175,174,174,175,175,175,173,172,172,171,168,167,167,166,164,164,161,159,159,157,154,151,155,135,7,0,176,176,176,177,178,178,177,177,177,175,175,174,173,171,170,168,165,165,164,162,161,159,158,154,165,106,0,0,180,179,179,180,181,182,182,181,179,177,175,175,176,174,174,173,171,167,166,165,164,163,160,154,169,81,0,0,184,182,182,183,184,184,183,183,182,181,180,178,167,169,172,169,163,172,170,167,167,164,162,158,164,51,0,0,185,185,185,185,185,184,185,184,183,182,182,167,130,123,138,137,121,101,164,171,167,166,165,162,159,24,0,0,186,186,188,188,189,188,185,187,186,186,177,152,159,133,131,143,138,70,88,186,167,168,167,165,169,47,0,0,189,189,189,190,189,191,189,188,188,187,176,159,139,96,71,107,97,96,42,131,183,168,168,165,173,81,0,0,190,189,190,191,191,191,191,189,189,185,179,153,119,61,101,121,127,94,79,45,148,178,169,166,170,112,67,0,191,190,191,192,192,192,193,191,191,180,174,133,122,63,183,192,191,151,95,54,120,184,171,169,170,135,104,29,193,192,193,192,192,193,194,193,191,172,163,117,113,104,196,187,187,193,177,158,177,177,174,172,172,148,85,131,193,194,194,194,196,197,194,197,185,169,154,107,97,143,174,158,155,138,149,190,180,177,175,173,174,152,118,124,195,196,197,197,197,197,196,196,168,157,144,125,130,142,147,148,150,126,62,172,177,178,176,174,175,163,143,139,198,198,198,197,197,197,198,170,137,137,145,156,167,176,174,164,146,115,60,157,162,139,177,176,173,174,156,104,199,200,200,198,198,201,190,167,150,141,143,145,156,151,138,128,115,115,72,126,176,114,141,185,175,173,173,123,200,201,201,199,199,201,188,166,152,137,129,137,144,147,152,146,126,112,80,46,131,89,112,191,175,175,174,167,201,202,203,202,200,205,180,171,175,146,136,136,143,151,143,139,137,68,41,8,59,31,108,194,177,177,174,173,203,205,206,207,203,209,172,170,171,139,131,140,150,152,145,141,124,54,16,1,10,43,173,183,180,178,175,173,205,206,207,206,205,210,174,151,169,159,160,161,155,153,140,125,82,36,19,11,21,162,192,181,181,180,177,174,204,205,205,205,204,209,172,146,180,171,164,157,126,109,90,54,49,40,20,8,130,199,182,183,182,180,177,173,205,206,205,205,205,209,170,150,172,160,152,138,105,60,18,24,51,32,11,46,189,184,183,182,179,175,176,177,207,208,207,207,206,211,170,151,161,151,150,141,106,47,8,28,24,21,11,100,201,183,183,180,178,183,176,152,207,208,207,207,207,212,167,153,155,149,153,152,96,28,2,5,13,30,18,150,198,185,183,190,188,142,96,108,206,207,207,207,205,212,168,150,152,163,167,140,76,38,14,18,35,30,44,190,188,194,190,138,90,39,100,117,214,216,217,217,214,221,166,143,156,171,162,120,72,46,21,24,43,16,109,212,191,156,88,19,14,15,109,130,146,152,155,160,166,174,142,143,163,172,155,109,65,48,24,24,27,41,183,156,84,30,10,12,10,2,84,144,73,73,71,70,73,71,114,151,160,163,143,100,62,45,23,20,23,48,70,29,3,21,7,10,0,0,35,144,92,91,94,92,87,86,131,151,153,147,121,87,52,37,20,14,26,22,24,8,0,22,2,2,0,1,0,85
1,147,153,159,163,168,171,174,177,179,180,182,185,187,188,186,187,185,188,186,184,184,185,184,181,179,178,176,176,149,155,161,166,170,173,177,180,182,184,186,188,189,189,192,190,191,163,171,188,185,185,185,183,181,180,180,178,150,157,163,169,172,174,179,180,185,189,190,189,191,194,161,177,210,130,107,206,185,186,186,183,182,181,180,180,152,157,165,171,173,177,180,184,187,190,191,190,192,213,114,138,216,126,93,175,184,189,188,187,186,185,181,181,156,161,167,172,176,181,183,187,189,191,194,192,206,212,101,151,207,108,99,123,123,201,187,188,188,188,184,183,157,163,169,174,178,183,187,188,190,193,197,188,160,186,92,167,203,96,133,153,87,198,189,189,189,188,187,185,159,164,171,176,179,183,188,189,192,193,205,187,86,152,106,181,216,114,148,156,78,191,194,192,191,190,188,187,160,167,173,178,181,185,188,191,197,195,214,165,69,148,117,175,197,109,159,159,74,188,199,195,193,192,191,190,161,168,175,180,183,187,189,193,198,196,216,146,58,125,95,148,179,95,178,174,83,189,201,196,196,193,192,190,162,169,175,181,185,189,192,196,197,202,219,135,64,146,94,168,182,95,184,165,84,188,201,197,197,195,195,194,164,172,178,182,186,190,195,198,198,210,212,121,73,172,87,176,179,90,196,161,85,191,202,200,200,197,196,194,166,172,180,183,188,192,197,200,199,217,218,125,52,122,51,154,131,89,210,164,93,197,204,201,199,199,198,196,167,174,180,185,189,193,197,202,198,225,210,128,101,119,105,155,158,125,162,158,91,201,205,204,202,200,200,198,166,175,182,186,190,195,198,202,204,232,203,153,124,187,199,204,208,173,97,124,97,205,204,206,205,202,200,200,167,176,183,186,191,196,199,200,218,231,174,132,91,107,172,164,203,215,143,62,85,212,205,205,206,205,202,202,169,177,183,188,193,197,200,198,230,224,167,114,92,75,103,99,204,236,195,85,79,218,206,205,205,205,203,203,169,178,184,188,194,197,201,200,238,218,154,111,107,103,125,173,189,216,198,118,97,219,207,208,207,207,205,204,171,179,185,188,195,199,201,205,241,208,158,113,119,114,161,225,206,184,145,113,71,194,215,208,208,208,207,206,168,177,183,188,194,199,201,209,243,211,169,131,128,135,202,231,198,168,122,81,63,198,216,210,209,208,207,206,169,177,183,188,191,197,199,208,243,212,163,135,131,146,223,239,192,151,111,64,62,211,211,209,209,208,206,205,170,178,184,188,193,198,201,207,239,214,169,157,132,143,226,236,181,138,102,51,86,221,210,210,209,208,207,206,170,178,185,190,193,199,203,205,234,218,184,182,141,133,231,214,169,120,85,44,170,221,211,211,211,210,207,207,171,179,184,190,194,199,204,204,229,224,192,188,139,143,224,193,160,110,60,77,221,212,213,212,212,209,208,207,170,177,183,188,194,197,203,204,233,228,193,176,125,151,204,164,143,95,39,135,226,210,211,211,207,206,206,205,171,180,187,195,202,204,210,205,234,219,187,157,120,155,173,145,124,78,54,202,226,220,220,219,216,216,214,212,134,137,139,141,145,150,144,173,243,210,188,156,135,161,155,141,111,63,69,155,153,154,155,157,157,157,156,153,95,91,90,92,90,94,82,194,241,212,198,158,157,153,131,122,83,51,72,79,78,78,78,79,74,74,71,69,106,104,105,107,108,104,117,235,214,187,185,170,153,126,113,98,55,62,97,94,93,92,92,92,91,89,90,91
0,187,188,190,192,193,195,198,198,200,201,201,201,202,203,206,204,206,206,206,207,207,206,206,207,207,206,207,207,188,190,193,194,196,197,199,200,201,202,203,203,204,206,208,207,207,207,207,208,209,208,209,208,208,207,208,208,187,190,193,197,198,199,201,202,203,205,206,206,207,208,207,207,210,209,208,208,209,210,210,211,210,209,209,210,188,191,194,197,198,199,202,203,205,207,207,208,209,208,209,210,211,210,210,209,211,213,208,212,212,212,211,213,191,194,196,198,199,201,203,205,206,207,211,211,210,217,221,206,205,218,229,206,208,233,188,207,215,215,215,213,194,196,198,199,201,204,204,206,206,220,240,206,186,239,230,190,168,228,235,199,177,231,189,182,218,214,214,214,194,197,200,202,203,205,207,211,207,248,243,213,159,204,228,202,157,180,232,205,157,203,208,164,208,215,215,217,197,198,200,203,206,206,236,227,193,244,238,223,175,190,227,212,166,180,234,208,147,160,216,179,166,200,219,217,197,199,201,204,200,225,253,230,191,222,243,223,190,188,229,217,164,191,232,196,148,110,202,201,179,153,198,221,196,200,203,205,201,245,255,239,207,202,245,221,191,180,237,222,152,191,224,173,132,72,169,217,198,146,177,227,199,201,204,204,212,250,251,249,218,186,242,221,186,177,240,216,143,151,190,156,104,89,204,228,205,150,194,226,200,202,204,201,226,240,232,248,218,174,225,216,177,164,223,199,142,114,161,146,82,140,231,227,197,150,218,225,202,204,206,203,244,244,225,226,181,139,192,195,166,136,175,168,132,106,165,146,118,212,232,215,166,160,228,225,202,205,207,219,253,236,196,204,154,117,166,176,158,110,138,152,107,135,206,211,214,217,212,188,149,183,229,227,204,206,202,232,255,239,204,187,166,131,152,183,162,95,119,154,177,232,240,231,216,192,178,162,141,197,228,227,208,209,205,225,255,248,225,192,170,146,155,200,162,96,143,228,253,245,238,225,204,178,157,148,131,214,229,229,209,209,209,226,255,252,236,216,192,175,180,195,180,198,248,255,251,238,227,211,186,162,148,134,172,232,228,230,208,211,209,231,255,254,244,230,216,192,198,215,238,255,255,251,243,229,209,190,168,152,137,158,227,231,230,229,207,211,209,230,255,255,251,241,230,214,210,228,244,255,254,247,236,219,195,169,151,139,137,217,233,232,232,231,209,212,210,229,255,254,254,247,236,224,218,224,240,252,246,237,228,204,177,153,140,128,193,236,232,232,232,232,208,212,215,225,255,255,254,246,230,217,215,217,231,240,233,217,206,188,158,144,123,173,236,234,234,234,234,233,210,214,216,217,251,255,250,238,224,209,211,216,224,226,211,196,178,162,142,122,157,235,235,235,234,235,234,234,212,217,218,215,244,255,242,231,217,204,212,219,222,215,197,178,155,134,110,135,229,238,236,236,236,236,234,235,194,185,184,170,174,178,165,154,149,144,155,158,154,148,136,131,121,107,117,227,239,234,237,236,237,237,236,236,151,141,142,134,123,121,117,105,98,85,79,71,65,66,62,61,64,69,97,173,232,238,237,237,238,238,237,236,140,143,140,135,128,123,116,103,96,85,80,68,63,61,58,55,54,57,58,51,167,247,238,238,238,238,237,237,150,142,142,138,131,119,114,105,92,85,77,68,62,59,56,52,54,54,56,46,192,244,238,237,238,238,239,240,163,145,144,137,131,120,113,102,89,85,76,68,62,59,56,52,51,53,49,94,243,238,238,238,239,239,240,241
14,112,115,117,120,124,126,129,132,132,132,134,137,138,138,140,142,141,140,141,142,142,143,143,143,143,142,142,142,111,115,117,121,126,128,131,131,132,134,137,139,140,140,143,144,142,144,145,144,146,146,145,145,145,143,145,144,112,116,118,122,125,128,131,132,135,136,137,139,141,141,142,147,150,147,147,146,147,148,147,146,146,146,146,146,113,117,119,124,127,129,133,135,135,137,145,141,146,142,128,118,124,141,147,152,151,149,149,149,148,149,148,148,116,122,124,127,129,131,134,136,132,159,168,154,139,121,108,110,102,104,98,101,142,153,148,149,148,149,148,149,117,121,126,129,131,134,136,130,152,190,149,113,96,71,47,70,88,78,54,52,69,157,151,151,151,151,150,150,118,122,124,128,132,133,136,132,198,170,105,60,44,35,34,31,45,50,48,60,41,104,164,153,154,155,153,150,119,122,125,130,133,135,129,166,206,132,83,60,25,21,28,13,21,43,62,60,44,50,92,105,113,158,153,154,122,124,128,131,134,136,132,202,167,95,64,36,19,31,27,15,17,33,66,67,30,57,37,66,84,158,154,156,123,126,128,132,137,129,160,210,134,79,56,21,10,21,17,29,21,124,158,151,118,64,60,70,94,164,154,156,123,127,130,133,137,133,204,194,125,78,61,50,24,0,17,24,59,162,158,157,169,92,93,72,92,167,154,156,123,128,134,139,128,167,222,179,124,75,61,50,30,20,20,25,130,163,155,160,156,86,104,75,65,162,156,156,123,129,135,139,125,183,217,177,122,69,55,43,24,29,22,67,169,156,159,161,155,79,102,84,46,132,166,156,126,131,134,141,123,178,221,177,129,84,51,32,18,26,14,102,169,157,159,164,152,75,92,85,52,112,169,157,126,133,136,143,125,181,222,177,132,97,62,34,22,23,7,116,173,161,159,166,138,92,111,93,60,127,168,157,127,134,137,144,123,189,219,180,140,99,69,46,18,20,8,83,161,162,165,175,121,97,116,97,68,146,168,160,128,134,137,145,124,192,221,186,141,108,80,63,26,23,33,34,57,75,106,144,89,98,111,93,78,158,166,164,130,134,137,146,123,191,217,183,144,115,91,75,41,22,41,43,47,59,71,72,74,104,110,84,87,169,164,164,131,136,141,146,127,189,210,181,147,120,93,75,53,22,42,52,69,81,90,92,71,77,105,78,102,173,164,165,132,138,142,146,127,191,209,183,148,121,91,71,62,32,48,65,84,90,90,91,76,65,84,70,126,174,165,167,134,140,143,146,125,189,201,175,143,115,86,71,64,46,53,69,84,89,89,89,79,72,80,64,145,173,166,167,135,141,143,148,130,182,191,166,140,113,88,78,68,58,63,74,82,86,84,82,80,80,69,99,168,167,167,167,135,139,145,148,137,186,192,167,142,116,99,87,74,64,70,78,81,86,81,78,83,75,112,166,170,171,170,167,136,141,145,149,140,196,196,169,147,117,98,83,75,70,68,79,81,85,80,86,74,124,176,171,171,172,170,171,137,142,147,151,136,199,196,173,150,117,91,75,76,78,72,79,84,86,87,73,102,173,171,170,172,172,169,171,138,144,147,149,138,201,188,167,144,110,84,77,81,80,78,84,89,89,75,100,168,172,172,172,172,172,169,172,140,145,148,150,141,198,184,167,147,114,81,78,81,77,74,82,88,78,109,173,173,173,173,173,173,173,172,171,141,145,148,150,149,192,186,171,158,128,81,74,76,75,75,80,78,105,171,176,174,174,174,174,172,173,173,173
14,183,185,185,187,189,188,188,189,190,189,187,188,187,184,184,183,182,181,180,179,178,175,174,173,172,170,169,168,184,186,187,187,190,190,191,191,191,190,190,189,188,189,186,183,182,183,183,181,179,177,176,175,174,171,169,168,186,188,189,189,191,192,192,192,193,193,194,193,192,182,186,195,189,183,184,183,180,179,177,175,176,174,171,170,188,190,191,191,192,193,194,195,194,194,184,168,165,133,120,144,165,190,189,186,183,182,180,178,177,176,174,171,189,191,192,194,195,194,195,196,197,182,154,132,105,80,69,90,102,134,161,182,187,184,182,180,178,178,175,173,191,193,193,195,197,196,197,197,192,170,127,86,71,72,69,80,100,108,112,118,188,184,183,182,180,179,177,174,192,193,195,197,198,198,195,187,172,141,80,52,58,61,58,61,67,89,83,82,187,188,184,184,181,179,178,175,193,194,196,198,199,201,192,172,150,97,64,56,50,56,57,61,57,71,75,72,114,185,186,184,183,181,179,177,193,194,197,199,200,201,189,169,120,63,67,61,59,58,58,51,56,57,79,87,76,182,189,185,183,182,179,177,194,197,199,200,201,202,195,174,128,63,61,56,61,65,55,135,139,148,98,67,71,153,198,188,185,184,183,180,196,199,199,202,201,202,195,172,130,67,56,52,63,54,99,212,205,209,188,118,87,89,134,173,188,182,183,181,196,199,200,202,202,203,196,175,121,69,70,62,51,78,192,202,198,198,200,195,119,109,95,134,194,183,184,182,198,199,201,202,204,204,198,180,133,89,75,69,55,159,214,200,202,200,203,151,114,117,92,148,195,185,185,184,199,200,202,202,205,203,196,185,145,101,76,65,61,183,209,204,202,206,186,115,114,107,88,183,193,187,186,184,200,202,204,205,206,199,195,189,148,109,82,59,76,210,208,203,203,206,131,100,110,89,116,200,190,190,187,186,201,203,205,206,207,198,194,185,150,114,80,62,66,162,202,211,213,166,108,94,101,64,154,201,190,190,187,186,200,204,205,206,207,198,195,185,150,114,83,69,66,72,95,155,173,106,111,108,75,103,198,194,193,192,189,187,202,203,206,207,208,196,199,190,148,118,89,69,72,80,83,87,88,92,105,89,93,195,198,195,193,192,191,188,203,206,206,208,207,193,203,187,146,115,92,67,70,79,88,94,90,88,99,81,182,204,196,196,193,191,189,188,203,206,206,209,205,192,203,182,141,116,97,69,70,80,86,92,96,88,67,147,212,198,198,197,195,192,190,189,203,206,207,211,203,194,198,176,140,123,98,70,70,84,92,94,93,75,95,204,202,201,199,197,195,194,193,190,205,206,207,212,200,196,191,165,139,121,97,69,71,88,95,95,85,71,192,207,202,202,200,198,197,194,193,192,205,206,206,212,200,192,181,160,133,115,95,69,71,89,92,89,61,124,218,203,205,202,200,198,198,195,193,191,204,207,208,211,199,188,178,159,129,111,92,70,72,85,88,73,70,200,208,204,204,202,200,199,198,196,194,191,205,207,208,209,202,183,171,152,126,103,87,70,71,81,78,53,165,218,205,206,205,204,202,199,198,196,195,192,205,207,209,209,200,180,172,149,123,98,82,67,70,60,55,153,221,207,209,208,206,204,201,200,199,197,195,193,204,208,208,208,199,179,167,149,122,96,75,62,58,87,176,219,210,211,209,208,206,204,202,201,199,198,196,194,203,207,205,207,190,169,162,148,121,88,70,50,117,217,217,207,208,209,207,207,204,202,201,199,198,196,194,192
15,57,85,91,102,109,115,122,130,138,142,145,149,152,154,156,158,160,162,163,165,167,169,169,170,172,173,174,176,59,86,91,103,110,117,123,130,139,141,146,150,153,155,157,159,162,163,165,166,168,169,170,171,173,175,176,177,61,88,94,104,111,118,122,132,140,142,146,150,153,155,158,160,162,163,165,167,168,170,170,173,174,176,177,177,65,89,95,106,113,115,122,133,141,142,146,150,153,156,158,161,162,163,166,168,168,170,172,173,174,176,176,178,71,90,96,105,111,133,130,131,140,145,147,150,152,156,159,161,163,164,166,168,169,172,173,174,176,176,177,179,75,91,99,105,117,169,142,127,123,134,148,153,154,156,159,162,163,165,167,168,169,172,173,175,176,176,178,180,80,91,99,107,115,148,148,138,129,119,124,140,153,160,160,162,163,166,168,168,170,173,174,176,176,176,177,179,83,90,99,109,114,121,134,133,132,127,129,128,128,138,158,165,164,165,168,169,171,173,175,176,176,176,178,180,84,91,101,107,115,121,126,133,124,128,135,139,134,125,121,143,163,168,169,168,170,173,175,177,177,178,180,181,86,93,102,109,115,122,128,138,137,137,136,136,136,133,125,121,125,148,169,172,171,173,175,176,177,178,181,182,89,95,103,110,116,122,128,137,142,145,147,137,125,128,137,137,128,120,127,151,171,177,174,176,177,179,181,183,88,95,104,111,117,122,130,139,142,145,150,152,143,135,122,122,128,124,122,127,126,152,177,176,178,180,181,183,89,95,104,111,117,123,132,140,141,147,159,133,122,138,135,110,104,115,133,136,138,118,138,180,177,181,182,183,89,96,105,112,118,122,131,140,140,154,159,136,113,111,132,132,125,133,135,142,147,133,105,146,187,180,182,183,90,96,106,112,118,124,133,141,141,150,140,129,129,132,139,123,131,136,127,137,144,136,128,110,173,183,182,184,92,98,106,113,119,124,132,139,142,146,150,132,140,158,149,127,107,108,97,131,150,135,146,118,128,187,181,183,92,100,107,112,118,124,132,139,143,142,169,145,132,156,146,131,127,119,105,116,122,131,138,129,100,164,186,182,92,100,107,112,119,123,132,141,140,153,164,130,106,111,136,144,142,139,129,116,113,112,119,126,110,121,188,182,92,100,107,112,119,124,134,141,138,163,145,111,103,69,75,116,151,152,146,139,134,114,102,112,115,96,165,189,93,101,108,113,119,125,135,138,144,168,128,96,93,79,68,59,100,154,157,153,145,121,103,108,111,97,125,192,93,101,108,114,120,126,136,135,153,157,107,96,122,111,96,74,50,121,161,153,145,126,115,111,110,107,98,168,94,101,107,113,121,127,135,143,158,126,91,137,147,125,123,111,65,84,163,153,146,138,132,121,113,110,100,121,95,102,109,115,121,127,135,148,128,101,116,164,154,131,131,128,112,93,153,158,154,148,143,132,119,112,109,102,96,103,109,115,120,126,137,140,129,130,150,150,148,140,124,125,124,117,136,158,157,154,146,136,127,118,113,110,96,103,109,115,120,127,136,139,145,151,152,155,149,134,114,111,107,128,132,143,154,151,145,138,130,122,118,113,96,103,109,115,119,129,137,139,143,148,151,154,159,160,153,144,130,128,139,121,137,143,141,138,132,125,117,115,96,103,108,113,118,128,136,139,143,148,151,154,158,160,165,166,166,167,155,139,133,144,140,137,135,128,119,116,96,103,107,112,118,127,135,137,142,147,150,154,158,161,162,164,167,176,177,168,157,156,143,132,132,133,129,122
1,181,181,182,182,183,182,182,183,182,180,180,180,179,177,175,172,172,175,171,171,170,169,166,164,171,107,37,30,181,182,184,183,185,184,183,183,183,181,181,181,180,177,177,182,171,149,171,173,171,171,169,165,172,79,32,34,183,184,185,186,186,187,186,185,185,185,183,181,180,181,166,156,179,108,143,181,174,171,171,167,173,63,37,36,185,186,187,188,189,188,187,186,186,186,184,183,182,185,163,88,139,114,104,145,149,177,170,168,172,89,37,24,187,187,189,189,189,189,187,188,189,187,184,181,176,195,159,83,107,109,101,142,94,172,173,169,178,89,31,28,188,189,190,191,192,192,189,188,189,187,188,178,123,140,150,75,126,125,101,151,81,156,178,169,179,98,23,30,189,190,193,193,193,193,192,191,190,187,194,169,98,96,156,77,126,140,82,134,77,147,181,170,178,137,80,94,190,192,193,194,193,193,194,193,193,190,195,162,90,102,147,77,100,119,84,154,86,137,184,173,176,148,154,159,192,194,195,195,195,195,196,194,193,192,202,167,101,92,122,71,99,100,87,161,94,120,186,175,177,148,144,115,193,195,196,196,196,196,196,196,195,193,208,153,97,97,123,74,123,112,83,143,88,117,189,176,177,161,143,96,195,195,198,199,198,198,198,197,196,195,204,152,94,112,141,80,110,113,80,139,87,122,190,178,178,172,154,138,196,197,200,200,200,199,200,199,197,200,209,158,120,89,114,63,85,84,100,153,98,122,190,178,178,177,159,151,196,199,199,199,200,200,200,200,197,203,198,150,102,68,69,56,81,53,99,145,96,114,192,178,180,178,173,147,198,200,202,202,202,201,201,200,199,205,191,150,128,122,105,100,80,82,109,118,74,127,195,180,180,179,179,166,200,201,201,202,202,202,202,203,198,215,203,167,159,131,179,128,127,121,144,114,59,164,191,184,182,180,179,179,201,202,202,204,205,204,204,204,201,226,192,161,134,99,151,153,155,141,134,112,82,180,188,184,183,181,180,178,201,202,204,206,206,206,206,205,207,224,182,135,111,87,68,124,150,128,140,134,85,146,196,185,183,181,180,178,203,204,205,207,207,207,208,205,211,229,189,151,124,85,69,64,96,110,168,159,101,105,198,184,185,183,181,179,204,206,206,207,209,208,209,206,214,224,187,166,119,96,89,65,147,136,143,180,126,74,174,191,185,185,183,180,206,207,208,209,209,210,210,207,216,218,188,168,106,104,77,117,191,171,142,155,137,68,125,199,184,186,183,180,206,208,210,210,210,210,211,208,215,215,194,169,102,107,87,170,193,173,151,123,114,79,101,200,186,186,183,181,207,210,209,211,212,211,212,210,214,214,196,153,112,95,114,196,191,169,136,123,92,63,135,199,186,187,185,181,209,210,211,212,212,213,214,211,215,210,190,148,131,82,137,198,179,157,126,112,90,60,181,194,188,187,184,185,209,210,211,213,212,212,212,210,210,204,184,156,138,85,154,194,166,145,124,104,65,97,204,190,190,188,186,187,207,209,210,210,209,209,209,208,205,199,180,164,144,95,156,180,151,137,120,89,51,165,199,189,188,185,185,184,208,209,211,212,212,214,218,208,203,202,178,170,142,93,146,162,137,124,106,54,100,204,192,190,190,194,196,138,209,212,212,212,217,203,185,215,196,188,181,170,114,88,123,137,117,102,65,69,191,196,196,198,186,168,120,59,209,211,211,211,225,149,60,115,156,160,155,127,82,88,103,114,94,71,45,165,206,196,180,124,76,48,39,47
6,187,189,192,193,194,196,197,197,197,197,196,196,196,194,193,193,192,191,190,188,187,186,185,184,184,183,181,180,189,192,194,194,195,197,197,198,198,197,197,198,197,196,195,193,193,192,191,190,188,187,187,186,187,184,182,181,191,193,195,196,197,198,199,199,199,199,199,199,199,197,196,195,196,194,193,192,191,190,188,188,187,185,184,183,193,195,196,197,199,199,200,200,200,201,200,200,199,198,198,197,196,196,195,194,194,192,190,189,187,186,185,184,194,196,199,198,200,201,202,201,201,202,202,201,200,199,198,198,197,196,196,196,195,194,192,191,189,188,186,185,195,197,200,200,201,202,202,203,202,202,202,202,201,200,199,200,199,197,197,197,196,196,193,190,188,186,186,185,197,198,201,201,203,205,204,204,203,203,203,203,202,201,199,198,193,188,181,178,179,174,167,163,160,146,167,180,199,200,202,202,204,205,205,205,205,203,199,188,182,183,181,172,157,146,132,141,154,159,148,145,141,126,162,176,200,202,203,205,205,206,206,207,206,195,181,157,148,149,150,156,148,136,126,128,140,146,134,129,123,111,127,142,200,202,205,206,207,207,208,206,201,191,178,161,148,135,108,119,124,119,103,96,103,101,100,102,109,115,133,158,202,203,206,207,208,209,205,201,191,178,172,162,158,149,100,72,68,72,80,107,133,151,163,176,186,188,191,192,203,205,207,209,208,203,195,193,176,164,166,168,168,135,88,67,59,115,165,191,201,202,201,201,200,198,196,194,204,206,209,206,200,193,188,179,169,165,162,168,165,124,79,68,66,110,197,206,204,202,201,201,200,199,197,195,205,206,205,200,193,189,182,175,171,163,160,166,160,144,109,74,66,65,133,206,205,203,202,202,201,199,197,196,205,203,199,197,191,186,176,171,167,161,158,159,160,158,127,84,65,67,75,179,208,205,203,202,201,200,199,198,175,198,199,194,185,180,171,165,160,156,155,157,161,157,122,84,68,66,61,154,210,206,204,204,202,201,201,200,87,139,192,196,183,172,164,158,155,153,152,154,160,158,133,92,65,65,75,183,210,207,206,205,205,203,201,200,71,70,108,166,177,169,164,160,157,156,157,156,161,159,146,106,68,62,74,189,211,209,207,207,205,204,202,201,67,65,51,72,136,169,163,157,156,155,158,159,158,157,140,102,72,68,66,176,213,210,208,207,206,206,204,202,63,50,44,40,59,121,149,156,157,156,151,143,139,133,113,93,77,73,74,185,215,211,209,208,206,206,204,202,48,43,40,42,40,49,99,142,153,149,140,128,120,111,97,87,83,78,64,145,217,212,210,209,207,206,205,203,41,45,44,41,37,36,42,87,139,147,134,120,109,116,105,82,82,80,66,146,217,213,212,210,208,208,206,204,42,46,47,40,34,37,33,34,81,122,115,102,93,108,90,77,86,93,134,202,215,214,213,211,209,209,207,206,44,46,41,36,32,33,28,28,32,72,83,93,132,185,173,157,173,192,212,217,216,215,214,212,211,209,208,206,43,41,33,30,29,27,25,23,22,24,97,186,216,224,223,221,220,220,218,217,216,215,214,213,212,209,207,206,42,32,27,26,27,24,21,20,19,62,197,223,222,222,221,220,219,218,217,216,215,215,213,212,211,208,207,206,36,25,25,24,23,19,18,18,16,108,226,222,222,221,221,220,219,218,216,215,215,214,213,212,211,209,207,204,31,27,25,19,23,23,14,18,20,139,227,223,223,221,221,220,220,219,217,216,215,214,213,213,212,210,206,203
20,132,134,136,139,142,144,147,148,151,154,153,154,155,157,159,159,145,160,165,166,165,166,167,167,167,167,169,168,133,136,139,141,143,146,149,150,152,155,156,157,158,158,163,169,116,137,145,159,168,168,168,168,168,168,169,169,134,137,142,144,145,148,150,152,153,155,158,160,160,159,167,175,122,149,127,122,172,169,170,169,169,169,169,169,135,138,142,144,146,149,151,153,154,157,159,159,160,162,170,170,127,170,143,109,171,170,171,171,171,170,171,171,137,139,142,145,147,149,152,154,157,159,159,160,163,162,179,181,139,171,145,108,169,171,171,172,172,172,171,172,136,140,144,146,149,150,153,155,157,159,160,162,164,162,189,180,144,183,153,111,170,173,172,173,172,172,172,173,137,142,145,147,150,152,154,157,158,160,161,162,166,164,188,165,146,185,151,108,169,175,175,174,174,174,174,175,139,142,145,148,150,152,155,158,161,162,166,140,138,168,186,150,143,182,144,105,171,178,177,176,177,176,176,176,139,143,146,148,151,154,157,159,161,165,169,144,99,138,182,146,148,182,139,106,173,178,177,177,177,177,177,177,140,144,147,148,152,156,156,158,159,156,171,148,127,110,127,128,140,169,135,112,176,177,178,178,178,178,177,178,140,144,147,149,153,156,154,178,172,124,148,167,165,144,103,91,110,148,129,114,179,178,179,179,179,179,179,178,140,145,148,150,153,156,160,179,173,139,134,158,174,159,121,78,96,126,115,114,182,179,179,180,180,179,180,179,142,146,150,151,155,157,163,170,149,156,111,81,142,176,149,101,93,106,99,114,184,181,181,181,181,181,182,181,142,146,150,152,155,158,164,173,122,115,98,71,102,184,173,129,86,95,93,110,185,181,182,182,183,182,181,181,142,146,150,153,155,157,164,174,152,134,112,92,105,167,192,154,101,87,87,109,185,182,183,183,184,183,182,182,143,147,151,152,156,158,170,191,160,131,113,105,124,151,203,167,125,87,79,103,186,183,184,184,184,184,183,183,144,148,151,153,157,158,176,186,146,124,118,124,135,177,198,167,136,92,73,103,187,183,184,184,184,184,183,183,144,149,152,154,157,158,179,186,155,134,134,129,154,211,189,157,136,94,70,109,188,184,184,185,184,184,184,184,144,150,154,155,157,158,181,191,159,141,137,141,179,215,190,154,132,100,71,121,188,185,186,186,186,186,184,185,145,151,153,156,158,158,179,196,168,144,138,158,191,200,183,157,131,101,70,134,189,185,186,186,186,185,184,184,146,149,152,155,158,158,179,199,169,156,147,162,198,190,175,156,125,102,71,153,188,185,186,186,186,185,185,185,146,150,153,156,158,160,177,199,175,170,159,161,199,188,171,156,122,96,74,166,188,186,186,186,186,186,185,185,146,151,154,157,158,161,169,196,184,181,175,160,188,179,167,154,125,91,74,166,189,187,186,186,186,186,186,185,146,150,154,155,159,164,164,186,189,185,178,167,171,176,160,153,122,92,77,171,188,187,187,186,186,186,186,186,147,151,154,156,159,164,163,178,192,181,167,160,166,170,153,161,129,91,88,181,187,187,187,188,187,187,187,187,147,151,154,156,159,164,164,177,188,168,159,149,160,168,150,163,129,89,109,189,186,187,187,188,187,187,187,187,147,151,152,156,159,164,166,179,185,165,158,149,159,172,146,160,120,83,139,191,186,188,188,189,188,187,187,187,146,151,153,157,158,164,164,182,195,178,167,157,161,175,138,150,113,83,167,189,187,188,189,188,188,188,188,188
15,174,152,154,137,100,173,82,38,92,90,91,95,99,101,112,125,138,148,151,154,161,168,172,175,178,181,184,187,174,152,160,130,110,176,68,45,94,91,93,95,99,101,113,127,140,149,153,158,164,170,174,177,181,184,186,189,175,157,167,122,124,176,56,56,95,91,94,98,100,101,115,130,142,152,156,159,166,172,177,180,184,186,189,192,173,159,171,116,138,170,46,66,96,91,95,98,99,103,117,132,144,154,157,161,168,175,180,183,186,190,192,194,172,160,172,107,155,161,30,72,94,90,95,99,104,106,121,137,149,157,160,163,172,178,182,186,189,193,196,198,169,170,167,122,153,148,97,115,116,121,131,132,130,111,112,124,139,154,162,167,174,181,192,194,192,196,199,201,165,183,154,134,135,133,135,123,116,123,119,115,108,116,115,112,116,121,131,141,140,135,147,177,203,202,201,205,170,165,129,125,125,122,115,109,110,112,112,109,110,123,126,123,121,119,117,129,137,124,112,101,137,195,214,208,173,172,143,113,119,107,110,105,111,115,115,114,118,128,129,126,120,115,121,132,132,130,124,109,93,101,165,214,174,180,149,116,188,89,61,100,99,102,105,108,117,127,130,124,116,118,129,131,124,128,123,115,111,100,88,121,177,184,136,130,200,69,46,101,92,94,96,99,100,116,133,158,140,128,128,128,130,128,124,118,117,120,106,88,180,190,127,145,193,57,59,101,94,95,97,100,102,113,143,188,170,144,133,128,119,124,119,121,120,133,116,101,182,191,120,158,186,45,67,102,94,95,97,100,102,113,179,171,150,113,108,118,98,100,119,122,130,143,123,111,182,189,116,172,175,38,75,101,93,95,98,102,96,144,187,148,136,104,68,80,64,70,150,140,145,138,120,118,184,187,111,183,162,33,83,100,93,95,99,98,111,194,166,134,118,98,62,56,43,75,171,160,153,126,113,119,185,181,111,195,149,29,90,100,95,95,98,91,146,208,166,128,110,74,53,57,39,100,173,173,164,130,108,114,190,178,112,203,133,29,96,99,95,96,99,93,125,196,181,143,114,66,47,55,58,109,166,183,170,134,109,106,197,171,118,212,119,31,100,98,94,95,98,101,99,178,200,170,125,80,42,83,95,97,159,177,154,129,109,94,203,165,126,222,107,36,103,97,94,94,97,100,100,144,215,189,140,89,56,62,115,151,164,149,124,119,104,86,208,155,136,223,92,41,105,96,93,92,95,97,105,123,203,201,174,159,152,152,167,149,132,114,103,106,101,89,211,146,150,221,76,48,104,93,92,91,94,94,105,120,173,210,178,164,160,168,164,123,98,100,96,97,102,106,212,136,163,215,63,55,104,92,91,90,93,95,103,129,194,167,140,138,145,169,163,111,91,92,87,99,103,97,210,130,179,206,53,64,104,92,90,89,93,97,98,158,197,146,138,141,138,159,157,118,91,102,182,126,74,70,206,124,192,196,34,63,95,83,82,82,87,90,94,156,181,140,127,126,123,143,143,120,82,183,250,135,75,75,202,122,201,184,95,113,125,113,108,105,102,103,112,137,158,151,162,160,116,99,138,115,95,175,251,141,81,77,196,126,204,188,158,126,137,137,136,133,134,138,135,133,135,144,151,193,163,97,145,144,122,163,194,130,89,80,190,128,210,187,143,112,127,124,126,126,129,128,130,129,127,131,125,153,193,131,120,135,134,131,134,113,86,86,182,134,213,182,143,120,130,131,132,132,131,132,134,135,137,138,137,134,154,146,137,140,141,141,146,117,73,57
24,184,186,188,190,192,196,197,197,198,200,197,199,197,198,196,195,196,196,195,194,194,192,191,188,188,188,187,186,185,187,191,193,194,196,199,200,199,201,199,200,199,200,198,199,198,197,197,196,195,195,194,193,190,187,186,186,186,188,191,192,200,199,199,201,201,201,202,202,201,201,202,201,200,197,197,197,197,196,194,195,193,188,187,187,188,191,192,198,173,195,202,202,203,204,204,203,203,203,202,202,202,199,198,198,197,197,195,195,194,192,190,190,190,192,196,215,124,180,208,203,203,204,205,205,204,203,203,202,202,202,200,201,198,198,197,196,195,192,192,193,192,193,203,201,112,183,208,205,206,206,208,209,205,203,205,204,204,203,202,202,200,199,197,196,195,193,193,194,193,192,206,196,112,181,210,205,207,206,202,196,211,206,206,206,205,203,202,204,203,205,202,197,197,196,194,194,195,194,208,203,116,183,215,207,210,214,209,152,158,210,209,206,207,205,204,191,175,157,189,202,198,196,196,195,195,196,208,199,120,167,209,205,170,205,221,189,116,128,211,210,207,206,180,138,119,99,154,209,199,198,197,197,196,196,207,195,193,191,191,225,147,159,229,196,120,85,154,219,208,199,142,100,112,162,194,205,202,201,200,199,198,198,206,219,239,213,216,231,171,140,225,187,108,79,102,203,218,180,114,105,199,213,207,205,202,201,202,200,198,201,207,209,247,215,223,234,173,104,176,141,100,65,100,192,199,142,99,174,217,204,206,205,204,203,203,201,200,203,205,216,251,217,235,243,169,101,50,130,173,155,182,193,152,106,129,218,209,209,208,208,206,205,203,202,200,204,204,244,241,196,201,220,141,84,104,221,219,202,186,177,131,99,194,218,211,211,211,209,206,206,204,204,201,203,211,229,210,179,134,136,110,168,245,234,210,187,164,148,119,135,222,213,213,213,211,211,210,207,205,204,204,202,223,226,207,183,152,102,198,255,244,232,205,171,144,128,109,186,225,214,213,214,213,211,210,209,207,205,205,201,234,245,215,183,171,202,255,249,241,226,188,152,129,119,117,214,220,215,215,214,214,213,212,211,210,207,205,203,244,249,223,207,221,255,255,250,236,208,169,132,128,100,155,229,218,218,218,218,215,215,213,211,209,208,205,203,248,252,232,232,255,255,252,242,219,185,145,124,115,114,214,225,220,220,219,218,216,214,214,212,212,210,206,203,247,255,238,247,255,251,226,213,192,157,132,121,106,194,230,222,221,221,219,218,217,216,215,214,213,211,208,205,245,255,242,233,241,232,208,187,168,135,124,102,185,233,223,222,222,222,220,220,219,217,216,214,213,212,208,206,235,255,232,229,240,237,213,190,163,130,93,129,231,226,227,226,223,222,220,221,221,219,217,216,215,213,207,209,221,229,214,232,239,233,213,184,156,116,74,178,234,226,227,227,226,223,221,220,221,220,219,219,217,214,207,212,213,223,232,240,231,223,213,179,147,100,88,209,233,227,228,229,228,226,223,222,221,221,220,218,217,215,205,209,210,236,246,228,226,218,202,174,145,96,101,223,228,227,227,227,226,223,222,222,222,221,220,218,217,216,204,208,208,241,242,215,231,205,192,173,142,105,92,216,229,226,226,227,223,222,223,223,221,219,218,218,215,214,205,210,207,249,244,214,233,200,196,173,136,106,86,203,233,227,228,228,225,222,222,222,221,219,218,218,215,213,204,209,209,250,247,221,233,210,192,170,135,108,82,191,235,227,229,226,226,224,222,222,221,221,220,218,217,215
6,150,152,153,155,157,158,159,159,160,160,160,159,159,159,159,158,158,157,157,157,157,155,155,155,153,153,152,150,150,153,155,157,158,159,160,160,161,162,162,161,161,161,160,159,160,159,159,158,158,156,157,157,155,154,153,152,151,154,157,158,159,160,162,162,162,163,163,163,163,163,162,161,161,160,159,159,159,158,159,158,157,157,155,154,152,155,157,158,160,161,163,164,163,163,163,164,164,164,165,165,164,163,163,161,161,159,157,158,160,158,158,157,154,157,158,160,162,162,164,165,164,165,165,165,164,161,154,152,152,154,149,151,143,142,168,144,144,162,158,157,155,158,160,162,163,164,166,166,165,165,165,163,160,153,141,138,148,158,150,152,141,140,172,129,123,166,158,159,157,159,160,163,164,166,166,166,168,170,175,175,172,163,151,144,145,148,143,138,137,123,121,117,150,164,161,160,158,159,162,164,164,164,164,169,178,178,175,163,151,135,125,108,105,108,117,122,125,134,145,159,164,163,162,160,157,159,162,162,172,178,166,166,166,160,148,141,135,123,119,111,102,144,157,162,166,169,169,167,164,164,164,162,158,160,163,161,189,179,159,155,152,158,164,162,152,145,145,147,107,136,176,167,168,167,167,167,166,165,164,164,158,160,163,166,180,156,148,154,159,166,171,168,160,153,145,132,99,105,174,169,169,168,168,168,167,165,165,164,158,162,161,178,185,153,148,151,155,161,164,164,156,141,137,122,87,89,163,172,169,169,169,168,167,167,166,164,160,164,162,182,166,155,158,154,155,157,164,166,153,133,138,133,88,78,141,177,168,169,169,169,168,169,166,165,161,164,163,177,169,171,165,164,166,171,175,165,153,147,143,122,93,81,130,178,169,170,169,169,169,168,167,166,161,164,164,174,190,188,162,162,163,162,160,155,148,139,123,101,93,86,120,178,170,171,170,170,170,170,168,166,163,165,164,173,196,188,166,157,148,131,130,139,137,136,133,92,87,91,134,178,171,172,171,171,170,169,169,167,163,165,164,176,187,183,171,156,143,145,160,161,147,141,149,108,76,111,173,173,172,172,172,171,171,171,169,167,163,166,164,178,182,184,180,157,153,165,170,154,142,135,127,107,88,133,179,172,172,172,172,172,171,171,170,169,164,167,165,178,184,178,175,160,156,161,159,150,137,126,109,98,94,151,179,174,173,172,173,173,172,172,170,169,164,167,164,177,184,178,171,162,155,155,142,132,115,101,95,91,109,170,176,175,174,174,173,173,172,171,170,169,164,167,163,172,181,181,169,155,145,135,115,99,79,74,84,119,167,178,175,175,176,176,174,173,172,172,170,170,163,166,163,169,178,169,152,141,132,115,97,83,72,85,106,171,180,175,175,176,176,175,174,174,173,171,170,170,163,166,162,164,173,155,142,140,134,106,93,92,79,91,145,179,174,176,175,175,174,172,173,174,172,171,169,168,163,167,159,157,168,146,144,145,122,101,96,98,86,128,179,176,176,176,177,175,174,173,173,172,172,170,169,168,163,166,157,154,163,140,150,145,117,101,95,100,121,175,177,176,177,176,176,175,174,173,173,172,171,171,170,169,163,168,155,156,159,144,152,142,117,99,95,102,160,181,176,177,177,176,175,175,175,174,174,173,172,171,170,169,162,168,148,161,161,142,148,131,107,95,99,109,169,178,176,177,177,176,175,174,175,174,174,174,173,171,170,169,161,164,144,168,156,137,135,115,100,96,99,122,178,175,175,174,175,174,173,174,174,171,173,172,172,171,171,168
3,131,131,132,133,134,134,135,135,134,135,134,134,134,133,132,131,131,129,129,127,126,126,125,123,122,121,120,120,135,135,136,136,138,138,138,137,137,137,137,137,137,135,135,134,134,133,131,130,128,127,125,124,124,122,120,119,139,140,139,140,142,142,141,141,140,141,140,139,139,138,136,142,121,122,136,132,131,129,127,127,125,123,123,121,142,144,143,144,145,145,145,145,144,144,144,143,142,142,139,148,112,91,143,134,134,132,131,130,128,127,125,123,147,148,147,148,148,149,148,148,148,148,147,147,146,145,144,147,117,77,140,139,137,136,136,133,131,130,128,126,150,151,151,151,152,152,151,152,153,151,150,149,148,147,146,149,118,67,138,142,140,138,137,136,133,131,130,128,153,154,154,154,155,155,154,155,155,154,155,153,152,150,150,150,118,66,137,147,143,142,140,139,137,134,132,131,157,157,157,157,158,158,157,157,158,158,158,156,155,154,153,157,128,68,133,151,145,145,143,141,139,138,136,134,160,160,160,161,161,160,160,160,161,161,160,159,158,157,155,161,121,62,136,152,148,148,146,144,142,140,138,137,162,163,163,164,163,164,164,163,163,162,162,162,160,160,158,153,118,73,137,156,150,150,149,146,144,143,140,139,166,166,166,166,166,167,167,166,165,165,165,164,163,162,160,153,122,76,127,161,152,151,150,149,147,145,143,141,167,168,168,168,168,168,167,168,168,168,168,166,165,165,164,167,123,60,118,164,153,154,152,151,149,147,145,143,169,170,170,170,170,170,169,169,170,169,169,171,171,165,150,138,145,98,111,175,156,155,155,153,151,149,147,146,171,172,172,172,172,172,172,172,171,171,172,159,148,163,133,71,127,135,75,128,157,160,155,155,153,150,149,148,172,173,173,173,173,174,174,173,174,172,166,141,89,128,142,86,88,125,71,63,86,153,160,156,155,153,151,149,174,174,172,174,175,174,176,176,176,169,159,142,115,98,147,109,67,113,95,79,62,120,168,157,157,155,153,150,174,175,175,176,176,176,177,178,172,162,120,117,133,97,122,116,62,67,97,85,51,108,170,159,158,156,155,152,176,177,177,177,177,177,178,179,168,157,127,79,112,82,89,122,64,60,94,116,64,90,172,159,160,158,156,153,178,178,178,178,178,179,179,179,170,154,123,74,87,53,81,98,48,69,88,138,90,72,167,161,161,159,157,155,178,179,179,179,179,180,179,180,174,150,138,110,73,60,93,80,52,107,138,136,94,70,169,165,162,160,159,157,179,179,180,180,180,180,181,182,177,153,150,124,86,84,108,95,114,165,143,115,60,119,175,165,164,162,160,158,180,180,181,181,182,182,183,184,180,150,149,131,102,86,112,159,166,155,119,84,67,169,170,167,165,163,160,159,180,181,182,183,183,183,184,184,186,152,135,125,104,91,103,155,147,131,100,59,103,181,167,168,167,165,162,160,179,180,180,181,183,183,183,182,187,165,127,127,112,102,101,142,137,114,77,53,154,176,170,169,167,165,162,159,179,181,180,181,183,183,183,183,184,181,135,125,124,108,89,114,111,86,47,121,180,170,170,167,165,163,165,166,179,181,182,183,183,184,184,184,184,182,154,137,124,98,79,86,82,45,101,183,170,170,168,169,172,168,147,108,181,182,183,183,183,184,184,184,187,170,156,149,125,102,90,84,72,60,172,177,177,177,173,161,122,85,54,39,180,181,183,183,183,184,184,184,187,159,146,153,133,122,104,88,53,102,186,171,152,122,96,70,46,43,38,38
22,132,138,141,145,151,156,161,164,167,170,171,172,174,175,175,176,174,173,174,173,172,172,171,170,169,169,167,166,133,140,143,147,153,159,162,164,167,170,172,173,176,177,177,178,177,176,176,174,174,173,172,172,171,171,169,168,135,142,144,148,155,161,163,166,169,170,173,175,176,177,177,175,178,177,176,177,175,173,175,173,172,172,170,169,136,142,144,150,156,161,165,168,169,170,174,177,177,178,178,212,141,166,180,175,182,182,159,176,173,173,171,170,137,143,147,150,157,163,166,169,173,216,140,170,182,179,184,225,123,153,185,172,204,178,127,180,174,173,172,172,140,144,146,152,159,164,168,169,177,227,133,162,185,178,190,215,128,153,187,175,212,154,131,182,174,175,174,173,141,145,147,153,160,166,169,172,172,221,153,151,189,178,196,221,138,156,187,185,212,142,136,185,175,176,175,174,141,146,150,156,162,166,171,175,171,231,184,144,191,180,200,220,143,158,185,200,220,137,149,186,178,178,177,175,142,147,151,157,164,168,171,177,171,225,209,141,187,182,203,212,143,156,187,218,214,134,162,186,179,180,179,177,143,149,152,157,164,169,173,179,173,218,224,139,177,185,208,215,146,152,194,229,193,122,171,186,181,180,180,178,144,150,153,159,164,172,176,180,174,206,242,170,161,188,213,223,149,153,217,231,169,117,183,185,182,182,180,179,146,151,154,161,167,172,178,177,193,208,182,176,152,191,214,215,139,169,242,220,148,134,192,185,184,183,182,180,147,151,155,163,170,174,180,176,235,240,203,171,121,179,203,198,184,209,233,208,127,161,194,186,186,184,184,182,147,153,156,164,171,176,180,183,241,250,234,184,113,117,175,190,211,206,197,170,124,187,192,189,188,186,185,183,149,154,158,165,172,178,181,191,232,219,210,217,171,127,124,153,186,188,179,127,138,199,190,191,190,188,187,185,149,154,158,167,174,179,181,194,244,218,193,230,229,178,119,105,150,175,165,113,149,201,192,192,191,191,188,186,149,154,158,167,175,180,179,206,251,204,180,179,233,215,165,109,107,147,156,117,162,202,193,194,193,192,190,188,150,155,159,168,176,182,179,218,248,200,160,133,182,225,206,158,104,106,127,111,183,201,196,196,195,194,192,190,151,156,159,168,175,183,180,227,254,204,151,173,159,215,234,202,152,101,96,114,197,200,198,197,195,195,193,191,151,155,159,168,175,182,180,227,249,207,147,184,182,236,235,218,185,140,97,122,206,198,198,197,195,194,192,191,151,155,159,168,177,182,181,226,251,197,159,185,207,253,237,216,198,148,92,132,210,197,198,199,197,195,193,192,150,155,160,169,178,184,182,224,255,186,178,179,229,255,242,211,176,135,92,144,210,200,201,199,198,197,195,193,149,154,160,169,176,184,183,218,254,188,193,177,246,253,236,213,157,119,97,163,208,200,200,197,196,196,194,192,151,156,161,170,178,187,187,215,251,199,203,179,254,244,232,202,149,112,103,193,213,207,206,204,204,202,201,201,134,138,141,144,146,149,146,170,250,218,211,188,248,232,218,181,137,113,107,146,149,147,147,146,146,147,141,132,114,114,115,116,114,113,110,123,245,226,210,182,231,219,187,157,127,114,108,104,102,101,101,99,100,89,97,152,122,122,123,123,122,123,122,129,233,212,196,176,197,198,164,145,133,119,110,114,113,112,110,113,111,137,208,216,122,123,123,122,121,122,121,119,208,190,175,167,170,183,171,147,136,121,113,114,113,112,112,106,156,225,213,185
4,150,154,158,161,164,167,170,173,174,177,177,178,181,181,181,183,181,181,178,179,179,178,178,177,177,176,175,174,151,155,159,163,166,168,170,174,177,179,179,184,184,181,179,179,188,182,183,181,181,179,179,178,178,177,176,175,153,158,161,165,168,170,173,176,178,178,177,172,180,199,178,126,140,191,183,184,183,181,181,179,180,179,177,177,154,159,161,166,170,174,176,179,177,197,187,142,129,222,189,131,74,191,192,189,185,185,183,182,183,181,180,180,157,161,166,169,172,176,177,176,171,231,217,160,94,187,196,133,65,125,148,164,193,185,185,185,184,183,181,181,157,163,168,171,173,172,187,208,183,153,215,188,109,153,205,133,41,64,132,87,153,195,184,187,186,184,183,182,159,163,169,172,176,177,218,227,191,94,182,191,102,119,188,114,36,74,138,93,62,191,189,188,186,186,184,183,160,164,169,174,175,180,213,202,179,89,161,167,92,82,146,99,31,99,150,99,43,177,195,189,187,187,186,185,160,167,171,173,175,177,212,180,182,94,140,152,88,49,109,85,47,168,158,86,44,181,195,188,187,189,187,185,162,167,170,174,178,177,218,171,159,142,121,158,131,54,89,60,58,167,120,48,45,194,193,188,188,190,188,186,164,169,173,177,179,180,227,210,165,112,69,176,153,145,130,117,120,148,136,73,46,200,196,192,191,191,190,187,165,169,175,177,178,186,232,202,160,103,59,81,86,163,136,155,177,193,182,104,69,203,196,196,192,192,192,190,165,170,175,177,178,195,229,174,126,95,71,52,43,88,138,151,169,177,160,102,63,191,197,195,193,192,192,192,166,170,175,180,176,205,228,178,134,90,61,57,70,70,101,122,122,132,141,117,50,152,207,194,194,192,193,193,166,171,176,181,175,212,227,184,133,94,74,67,77,107,98,105,136,146,160,133,63,107,214,194,196,194,193,193,167,172,177,182,179,220,223,175,122,86,77,67,70,118,114,161,191,192,196,151,90,56,196,200,197,196,194,194,168,173,178,182,181,222,220,174,125,94,78,77,80,114,137,201,216,206,212,167,107,38,146,213,197,201,196,196,170,173,178,183,182,220,210,175,132,111,95,85,84,112,196,213,219,195,187,151,99,37,136,215,198,200,198,196,169,172,177,182,182,216,203,176,140,114,95,88,93,164,228,222,205,182,150,120,71,49,185,206,199,200,198,196,169,171,177,181,180,213,212,178,128,99,90,100,126,213,229,216,183,153,120,86,40,111,212,199,199,199,198,196,169,171,176,181,180,207,219,181,140,136,111,113,155,226,219,198,163,130,96,58,47,191,205,200,199,200,198,195,169,173,176,182,183,198,213,190,158,152,126,94,173,224,199,173,140,110,77,30,117,217,201,202,201,200,198,196,169,174,177,182,184,197,219,194,160,153,129,94,184,208,173,143,110,81,52,43,195,207,202,201,201,200,198,196,169,174,177,185,179,200,229,205,170,146,113,95,178,182,146,116,81,64,20,120,217,201,202,202,202,201,199,196,170,174,177,184,174,225,226,193,157,125,83,105,163,140,96,76,58,29,57,202,203,202,202,202,202,200,198,196,172,175,182,178,194,238,216,192,164,116,97,125,139,91,61,57,44,40,181,212,204,206,204,204,204,204,201,201,158,160,165,159,219,225,215,200,160,126,117,123,116,75,65,70,36,126,194,185,188,188,188,189,188,189,188,187,93,92,81,123,230,204,191,178,137,122,137,99,84,66,61,55,44,84,87,87,86,84,85,85,87,90,91,89
3,167,170,170,170,170,171,171,171,171,171,171,171,170,169,167,166,164,156,165,161,161,160,158,157,154,152,150,149,171,173,173,173,173,173,174,174,174,174,175,175,173,172,171,170,175,114,144,170,164,162,161,161,158,156,153,152,174,176,177,177,177,178,178,178,178,178,179,179,178,177,175,175,167,95,113,180,166,166,165,165,162,160,157,155,179,180,181,180,181,182,182,183,184,182,181,181,181,181,179,178,166,93,95,180,171,170,169,167,165,163,161,159,183,183,184,185,186,186,186,187,187,186,185,185,184,183,182,182,165,89,87,183,173,173,172,171,169,166,164,161,186,187,187,187,188,190,189,189,189,189,188,188,188,187,186,185,165,96,84,182,177,176,175,174,172,170,166,164,189,190,191,191,191,192,192,193,192,192,193,191,192,190,188,189,175,104,78,182,182,179,177,175,175,173,170,168,192,193,194,194,194,195,195,195,195,195,195,195,194,193,191,190,170,89,78,187,183,182,180,178,178,176,174,171,194,196,197,197,197,197,197,196,196,195,197,197,197,196,195,189,159,105,85,177,188,184,183,181,180,178,176,173,196,196,197,199,199,200,200,199,199,199,200,200,199,199,197,192,173,134,81,160,195,186,186,184,183,181,178,174,197,199,199,200,200,202,202,202,202,202,203,202,201,200,200,193,177,132,68,148,200,187,187,187,184,182,180,177,200,200,201,201,201,202,203,203,203,202,203,204,202,203,201,197,187,133,72,119,206,186,189,189,187,185,182,180,202,202,203,203,202,202,204,205,205,204,205,205,207,199,182,169,162,159,110,139,182,201,190,189,188,186,183,180,203,203,203,204,204,205,206,207,207,206,208,207,199,191,181,130,85,141,154,184,109,167,201,191,190,188,186,182,204,204,205,206,207,207,207,207,208,210,202,184,133,146,183,130,81,96,157,155,82,54,138,201,190,190,188,185,206,206,207,208,208,209,209,208,210,202,191,174,123,93,145,157,107,77,129,138,90,60,63,188,196,191,189,187,206,207,207,208,209,210,209,211,209,194,178,152,147,126,107,165,120,69,74,102,105,68,57,175,201,192,191,188,207,208,208,209,210,210,210,211,205,184,150,108,131,133,89,128,133,74,62,84,122,82,49,164,204,193,191,190,206,208,208,208,211,212,213,214,209,184,166,106,72,111,53,86,127,61,66,81,129,117,51,140,207,193,193,191,206,207,208,209,211,212,213,213,215,188,156,128,96,75,54,81,89,45,75,123,145,132,58,143,209,194,195,192,207,208,209,209,210,211,212,212,217,188,167,162,124,84,84,105,94,83,153,161,145,98,77,195,199,195,193,189,208,209,209,210,212,213,212,213,217,195,160,161,136,105,96,120,167,173,183,146,116,61,137,211,191,193,196,198,206,207,208,210,211,212,212,212,216,204,157,158,140,111,98,106,174,172,155,124,84,61,184,206,205,205,183,145,214,214,214,215,216,216,217,218,217,220,166,137,132,111,104,101,153,155,134,100,54,118,216,185,160,123,74,52,169,174,178,182,187,192,197,199,201,207,191,132,130,122,119,97,123,136,112,67,75,151,105,70,49,41,41,47,98,100,101,101,102,106,106,107,107,106,119,155,130,127,111,87,87,88,63,50,75,63,42,38,44,39,38,35,108,107,108,109,107,107,113,111,111,107,128,179,158,130,98,82,81,80,56,56,58,50,52,34,38,32,29,30,107,108,108,109,108,109,116,113,116,112,146,165,163,138,115,103,90,78,53,55,51,47,41,41,27,28,24,28
21,123,125,129,135,139,143,147,150,152,154,156,158,158,159,158,158,158,157,157,156,155,154,153,152,151,150,148,146,124,126,131,136,141,145,148,151,153,155,158,159,159,160,159,160,159,157,156,157,156,156,155,153,152,152,150,148,126,128,132,138,143,147,150,152,155,157,159,161,161,161,162,162,168,153,143,157,158,157,157,156,154,153,152,150,127,130,134,140,145,148,151,154,156,159,161,163,163,164,164,165,179,152,126,155,160,159,158,157,156,155,153,152,129,131,136,142,147,150,153,156,158,160,162,164,165,165,165,167,183,151,120,153,161,160,160,160,151,151,155,154,130,133,137,143,148,151,154,157,159,161,164,165,166,166,165,169,187,153,119,152,162,162,164,167,137,139,155,156,132,134,139,145,150,153,156,158,160,163,165,166,166,166,167,172,193,158,124,153,164,163,170,169,124,135,156,157,133,136,141,147,151,155,158,160,162,165,167,167,167,168,168,174,196,160,128,155,165,165,177,163,120,141,158,158,133,136,142,148,152,156,159,161,164,167,168,169,169,169,169,177,199,159,130,156,167,170,184,156,122,148,159,159,134,137,143,149,153,157,160,163,165,167,169,171,171,172,171,181,203,163,132,156,168,177,191,152,128,155,162,161,136,139,144,150,155,159,162,165,167,169,171,172,174,187,181,172,189,167,137,157,170,188,190,144,134,160,163,162,137,140,146,152,156,160,164,166,168,170,173,175,181,207,195,157,142,147,137,161,177,199,181,134,140,164,165,163,138,141,147,154,158,162,166,168,170,172,183,193,180,193,201,158,112,114,132,164,187,200,166,127,149,166,166,165,139,142,149,155,161,165,168,170,172,176,202,217,184,161,186,157,104,94,123,163,187,187,149,131,160,167,166,166,140,144,150,157,162,166,169,172,174,181,213,226,197,146,160,161,112,87,104,141,166,165,135,142,167,169,167,167,141,145,152,158,163,167,171,173,176,187,212,212,198,141,143,177,144,99,88,111,135,136,127,157,172,170,169,168,142,147,154,159,164,168,172,175,178,195,216,203,191,151,131,179,175,127,90,95,115,113,128,167,174,172,171,169,143,147,155,161,165,169,173,176,180,206,221,194,175,152,122,157,183,156,109,86,97,101,132,172,175,174,173,171,144,148,155,162,167,171,174,178,183,214,215,178,151,135,123,141,181,182,142,96,85,95,141,175,177,175,174,173,145,149,156,163,168,172,176,179,186,218,214,173,143,139,144,159,189,202,174,123,89,99,154,178,178,177,176,174,145,150,157,164,169,173,177,181,188,220,214,172,144,151,166,194,207,210,192,150,106,111,166,181,180,179,177,176,145,150,158,164,169,174,178,181,190,221,215,174,150,162,183,215,217,208,191,162,122,122,173,182,181,180,178,177,144,149,157,164,169,174,178,182,190,221,216,175,159,168,195,226,223,206,180,152,121,126,175,183,182,180,179,177,144,150,158,165,171,175,179,183,191,221,217,180,174,173,207,234,224,202,172,134,108,129,178,184,183,181,180,178,145,150,159,166,172,176,180,184,191,217,217,191,188,176,210,235,220,196,164,124,104,142,183,186,184,182,180,179,145,151,158,165,171,176,180,184,189,212,220,205,195,176,205,228,209,182,149,116,110,159,186,186,185,183,181,179,143,149,157,164,169,174,178,182,186,205,222,213,196,172,195,214,190,161,132,109,120,171,184,183,182,180,179,177,138,143,148,153,157,160,163,166,169,188,218,212,191,167,181,200,174,145,121,105,120,157,163,161,160,159,158,162
21,28,36,46,62,79,89,96,101,105,109,110,114,118,122,126,127,129,131,133,135,135,136,136,137,138,137,137,137,30,38,48,65,81,91,97,101,106,110,112,117,120,123,120,130,132,134,135,136,138,140,140,140,140,139,140,140,32,41,48,69,83,93,100,104,109,112,115,117,131,136,56,121,138,136,138,138,141,142,141,141,142,142,141,141,34,43,52,71,85,93,101,107,110,113,118,117,142,138,49,113,143,137,139,142,143,143,142,142,144,144,144,144,34,43,54,74,87,95,102,107,113,117,121,118,144,136,56,109,144,140,142,142,146,147,146,149,148,146,145,145,35,45,56,75,87,98,103,108,114,118,121,120,147,145,64,107,147,140,144,143,148,150,143,132,149,148,148,148,37,47,59,78,88,99,105,111,116,117,122,122,149,145,69,99,151,143,147,147,148,149,114,57,130,155,150,151,39,48,61,81,90,100,106,112,117,118,123,123,149,143,71,84,153,143,149,147,152,137,85,64,150,153,152,152,41,48,62,82,91,100,108,114,118,119,125,124,156,146,71,82,154,143,149,154,152,114,58,124,163,153,153,153,42,50,66,85,93,102,109,116,119,119,125,126,166,151,81,88,155,145,151,149,128,80,87,163,155,156,155,154,42,52,69,85,94,104,110,115,118,121,138,110,146,131,76,83,156,146,154,144,103,58,144,160,156,157,157,157,44,53,70,86,96,104,111,117,119,130,134,82,83,83,58,85,156,148,153,136,66,101,167,156,159,159,158,158,46,54,72,87,95,106,112,116,132,152,95,79,46,42,45,88,134,135,137,89,61,157,159,160,160,160,158,158,47,54,74,88,97,106,113,117,160,168,136,108,53,24,43,75,110,110,93,44,122,166,157,160,160,160,160,159,47,55,76,89,98,106,112,128,166,176,181,105,55,26,36,61,82,88,50,74,165,159,161,161,161,161,162,162,48,57,76,89,98,108,111,136,146,134,144,88,50,36,34,51,65,66,43,144,164,161,161,162,162,162,163,162,49,58,78,89,98,109,111,159,144,74,99,108,63,41,35,40,51,33,81,171,158,162,163,163,163,163,163,162,50,59,80,90,100,107,119,160,104,68,80,123,77,47,37,33,42,28,113,170,160,163,163,163,163,164,165,163,49,61,82,90,101,103,135,158,114,109,101,145,96,73,48,33,36,29,122,170,163,165,165,164,164,165,165,163,49,63,80,89,103,103,148,162,139,100,148,179,102,91,54,31,34,33,138,167,164,165,167,167,167,166,165,164,50,65,84,91,104,104,158,176,130,110,189,151,97,86,54,32,31,39,156,167,165,165,166,167,167,167,166,165,51,65,83,91,103,104,167,165,117,130,174,129,92,74,63,38,24,64,170,164,165,165,166,167,167,168,167,167,51,65,82,91,105,106,158,142,130,129,170,125,113,71,49,40,22,104,172,163,166,166,167,168,169,168,167,167,50,67,84,95,106,109,140,149,153,128,173,115,106,75,40,37,25,133,170,163,166,166,167,168,169,169,167,167,50,69,85,95,105,110,130,175,141,122,159,98,81,53,36,31,37,150,167,164,167,168,169,169,170,169,169,169,49,69,84,93,103,111,126,163,135,113,131,89,63,49,38,21,55,164,163,167,168,169,170,170,170,170,169,169,47,67,80,92,102,113,120,141,122,115,119,99,80,59,40,15,69,168,159,163,166,167,168,168,169,169,169,168,47,67,79,92,102,113,118,132,128,123,119,113,97,60,38,10,78,168,157,162,165,166,167,167,168,169,169,168
14,202,204,206,204,206,209,211,205,216,242,226,184,148,110,183,211,212,215,209,209,210,210,209,209,208,207,206,206,204,206,208,209,208,211,205,220,255,222,151,123,106,94,124,184,184,183,212,210,210,211,210,210,209,209,209,208,206,208,210,211,211,205,236,255,236,169,97,97,93,97,135,165,143,111,212,213,213,215,215,213,212,212,211,210,207,211,212,212,209,218,255,240,168,116,95,103,88,70,98,123,98,145,227,212,214,217,214,214,215,214,212,210,210,213,213,216,205,239,255,215,108,75,70,81,87,103,96,110,125,145,191,219,216,216,218,217,218,215,214,213,211,212,214,218,209,255,255,206,108,72,65,71,91,113,83,95,161,173,124,162,227,216,220,221,217,217,216,215,211,213,217,218,216,255,255,177,100,81,89,66,69,82,77,76,105,125,90,186,235,220,220,221,221,219,219,218,213,215,219,217,225,255,254,170,91,81,103,78,85,106,117,117,98,105,97,145,174,222,223,221,222,222,221,220,216,218,221,214,238,255,255,202,128,89,87,86,98,89,97,88,99,119,124,123,104,182,226,223,224,223,222,221,218,221,224,214,255,255,255,204,143,104,71,101,106,90,131,164,215,195,160,137,174,152,202,232,224,224,225,225,220,223,222,219,255,255,255,201,137,110,82,101,87,189,243,234,229,235,233,183,197,149,210,234,226,227,225,226,222,223,223,225,255,255,255,212,148,106,89,82,99,226,231,230,231,237,205,164,189,143,221,232,228,227,227,228,225,227,225,232,255,255,255,221,163,111,87,77,187,241,231,233,232,238,195,166,187,134,218,235,230,229,228,229,226,229,225,234,255,255,255,228,169,121,76,100,240,233,235,234,232,244,186,155,186,128,185,243,231,232,231,230,227,230,231,236,255,255,255,231,177,133,72,145,250,231,236,235,239,234,165,155,174,139,152,245,233,233,235,233,228,232,232,238,255,255,255,234,181,135,77,152,247,242,245,246,243,163,156,183,173,128,177,246,234,235,235,235,231,231,228,241,255,255,255,235,180,139,111,70,114,155,157,191,177,132,165,171,154,147,238,239,237,235,234,234,231,232,230,241,255,255,255,231,182,155,131,82,82,93,105,120,127,143,162,163,131,210,247,237,237,236,235,235,232,234,231,248,255,255,255,226,195,174,144,96,97,115,127,141,145,139,152,136,175,250,240,242,239,240,238,237,235,237,232,255,255,255,255,234,210,186,149,111,103,128,134,139,145,142,125,135,245,244,243,243,240,239,239,238,235,239,234,255,255,255,255,247,222,187,147,123,107,127,136,137,142,140,110,206,252,244,244,243,242,242,241,241,236,238,236,255,255,255,255,255,228,187,146,124,111,121,137,131,139,117,186,255,243,244,245,245,244,244,244,243,235,238,233,255,255,255,255,255,223,170,123,112,106,118,130,133,121,145,255,246,248,246,246,246,244,243,244,243,244,248,250,255,255,255,255,250,201,129,98,101,100,113,122,129,115,224,254,245,248,247,247,247,246,245,245,244,209,190,177,190,167,159,137,116,96,69,59,72,93,111,114,108,193,255,247,250,249,249,251,250,247,246,246,247,108,95,81,71,63,56,45,41,42,36,23,23,39,72,98,185,255,247,250,250,250,249,251,251,249,250,246,249,101,95,83,77,73,65,51,48,46,34,23,21,20,13,51,255,253,253,253,253,253,252,252,252,250,250,250,249,100,92,82,74,65,60,49,45,40,31,21,18,22,13,56,255,254,255,254,254,254,252,252,252,251,251,252,251
4,227,227,227,225,224,224,223,222,223,222,221,220,220,218,217,215,214,214,212,210,208,207,205,204,202,202,202,200,229,229,228,227,226,226,225,225,224,223,222,221,221,219,217,217,215,214,213,212,211,208,207,205,204,203,202,201,229,229,228,228,229,228,226,226,226,226,225,222,222,220,219,218,216,213,212,213,213,210,209,208,206,203,202,202,231,230,230,229,230,230,229,229,228,227,225,225,225,226,224,219,220,221,214,212,212,212,211,209,206,205,204,203,233,234,233,232,231,230,230,229,227,227,227,216,205,209,208,216,194,189,217,218,215,215,210,209,208,207,205,204,234,234,234,232,232,231,231,229,229,229,228,215,206,201,177,150,158,150,157,209,204,208,217,209,209,207,206,204,235,235,234,233,233,234,233,232,230,216,217,199,161,128,183,132,93,160,144,121,126,120,174,218,208,208,206,204,236,236,234,235,235,235,234,233,227,225,215,203,167,94,142,142,79,136,142,92,97,112,104,214,210,209,208,206,236,237,237,236,237,236,235,235,232,187,146,174,199,121,130,161,151,139,121,83,128,141,93,181,220,209,210,207,237,237,238,237,237,236,237,233,235,198,120,77,206,171,134,163,190,170,128,131,128,151,114,167,223,209,209,208,238,239,238,237,238,238,237,237,224,169,114,53,115,148,98,120,136,166,142,142,131,142,115,137,225,210,211,210,239,241,240,240,239,239,238,239,216,175,149,123,85,94,95,86,74,126,158,140,129,128,127,105,213,214,211,209,241,241,241,239,238,240,239,237,222,203,169,128,91,95,111,101,106,100,113,123,128,158,155,94,184,221,210,209,241,242,241,240,241,241,240,237,227,192,147,116,90,95,104,116,137,121,94,112,193,184,162,107,147,225,209,210,243,243,243,242,243,243,238,239,226,185,145,105,88,95,110,131,134,124,133,151,166,186,181,135,118,222,211,211,244,244,243,244,244,243,239,238,231,202,163,117,94,105,120,138,137,144,181,200,180,184,188,144,97,210,215,211,245,245,245,246,246,245,242,236,225,203,172,127,97,103,124,150,161,170,190,196,191,176,155,131,84,202,217,212,245,246,246,246,246,245,244,236,224,214,185,146,108,101,126,153,176,194,204,200,180,164,138,101,94,217,215,213,245,246,246,245,246,246,244,234,219,220,194,160,128,103,113,169,192,210,208,196,170,150,126,72,149,228,213,213,246,246,246,245,246,247,245,232,215,214,198,167,136,113,115,185,203,209,203,185,158,138,105,83,213,218,216,215,247,247,247,245,245,245,246,229,210,208,207,178,142,129,127,191,204,201,193,171,145,127,77,149,231,216,217,215,247,247,247,246,246,246,249,228,208,211,208,184,154,139,140,192,200,197,178,152,134,106,84,215,222,219,217,215,249,247,246,248,247,247,248,234,215,219,213,188,163,137,138,190,191,185,163,133,119,72,152,235,219,220,218,217,248,246,245,248,248,249,249,239,219,224,209,189,171,141,131,179,179,166,143,123,88,92,225,225,222,221,219,218,249,248,248,251,249,249,250,240,229,224,207,193,175,152,134,157,163,145,127,104,65,192,234,223,221,221,220,218,249,249,250,250,250,248,250,240,230,219,204,189,173,161,144,142,149,131,112,64,143,240,224,225,223,221,220,219,249,249,250,251,251,249,247,234,229,220,208,198,187,173,156,134,134,117,84,97,232,229,228,226,225,222,220,218,249,251,250,251,251,252,236,225,230,221,204,201,186,167,158,134,123,105,69,180,240,226,228,226,224,223,220,220
14,235,238,237,239,240,241,242,242,242,242,242,241,241,242,243,241,243,243,244,242,242,242,241,241,240,239,238,239,237,239,239,241,242,243,242,243,246,243,243,243,253,241,238,246,245,242,244,244,244,245,244,243,243,241,241,240,239,240,241,242,242,245,247,249,246,244,255,255,251,194,193,255,246,247,247,246,246,246,246,246,246,244,242,242,240,242,244,244,245,246,247,245,246,255,255,224,185,164,151,215,242,241,247,247,248,247,247,245,245,245,244,243,242,243,245,247,248,248,243,253,255,255,204,154,151,144,157,196,226,185,197,254,248,249,249,248,246,247,246,246,243,244,247,248,248,245,255,255,255,229,169,140,158,136,146,179,195,154,203,255,248,252,252,250,249,249,249,247,246,247,249,249,249,243,255,255,228,165,138,139,146,130,136,142,162,148,212,255,255,253,254,254,252,251,250,249,247,249,249,250,251,247,255,255,202,130,114,118,132,154,167,143,179,214,205,190,234,255,254,255,255,252,251,251,248,249,250,253,251,255,255,255,199,141,125,129,121,137,144,123,137,188,197,149,232,255,254,255,255,254,253,252,248,249,251,255,250,255,255,255,171,131,136,150,119,130,140,150,152,158,148,144,232,254,255,255,255,255,254,255,253,253,254,255,249,255,255,255,189,134,137,152,133,145,160,170,160,144,172,180,183,174,249,255,255,255,255,255,254,255,255,255,253,255,255,255,214,163,137,131,147,152,124,140,150,190,190,178,172,189,206,254,255,255,255,255,255,255,255,255,255,255,255,255,212,170,147,128,159,150,179,230,252,255,255,243,214,241,194,247,255,255,255,255,255,255,255,255,255,255,255,255,211,166,152,135,150,137,247,255,255,255,255,255,224,235,192,255,255,255,255,255,255,255,255,255,255,255,255,255,227,176,145,144,131,178,255,255,255,255,255,238,218,231,188,255,255,255,255,255,255,255,255,255,255,255,255,255,235,186,145,137,138,255,255,255,255,255,255,233,217,233,176,245,255,255,255,255,255,255,255,255,255,255,255,255,239,190,153,123,169,255,255,255,255,255,255,221,199,225,182,208,255,255,255,255,255,255,255,255,255,255,255,255,245,197,162,116,214,255,255,255,255,255,246,209,220,219,187,196,255,255,255,255,255,255,255,255,255,255,255,255,248,196,171,123,172,248,255,255,255,255,192,214,227,213,174,242,255,255,255,255,255,255,255,255,255,255,255,255,244,201,179,146,120,139,161,168,201,194,194,214,218,189,214,255,255,255,255,255,255,255,255,255,255,255,255,255,243,217,197,158,134,148,152,172,182,184,194,210,197,187,255,255,255,255,255,255,255,255,255,255,255,255,255,255,249,235,208,174,140,159,174,185,192,196,187,192,175,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,245,210,178,154,163,181,187,191,193,189,160,209,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,211,181,164,159,180,186,185,189,176,177,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,247,206,175,164,158,176,182,180,179,173,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,233,180,158,156,157,175,174,184,160,235,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,195,143,144,145,154,164,172,167,195,255,255,255,255,255,255,255,255,255,255,255,240,218,223,220,200,193,171,152,132,113,111,123,146,156,157,181,255,255,255,255,255,255,255,255,255,255,255
3,114,114,115,117,118,117,118,118,117,118,118,117,117,116,115,114,114,113,113,111,110,109,108,107,105,105,104,104,118,119,119,119,121,121,121,120,120,121,120,120,120,118,118,117,117,117,114,113,112,110,108,108,108,106,104,103,122,123,122,123,125,125,124,124,123,124,123,122,122,121,119,125,105,106,119,115,114,113,111,110,109,107,107,105,125,126,126,127,128,128,128,127,127,127,127,126,125,125,122,131,96,76,125,118,117,115,115,113,112,110,109,107,130,130,130,130,131,131,131,130,131,130,130,130,128,127,127,130,101,63,123,122,120,119,119,116,114,113,111,109,133,133,133,134,134,134,133,134,135,134,133,132,131,130,129,132,102,54,121,125,123,121,120,119,116,114,114,112,136,136,137,137,137,137,137,137,137,137,137,136,134,133,133,132,102,53,121,130,126,125,123,122,120,118,116,114,139,139,139,139,140,140,140,140,140,140,140,138,137,137,135,139,112,55,116,134,128,127,126,124,122,121,119,118,142,142,142,143,143,143,142,142,143,143,142,141,140,140,137,143,105,49,119,135,131,130,129,127,125,123,122,120,144,145,145,146,145,146,146,145,145,144,144,144,142,142,140,135,102,59,120,138,133,132,131,129,127,126,123,122,148,148,148,148,148,148,148,148,147,146,147,146,145,144,142,135,106,62,110,143,134,134,133,132,130,128,126,124,149,149,150,150,149,149,149,150,150,149,150,148,147,147,146,148,107,47,102,146,135,136,135,133,131,130,128,126,151,151,152,152,151,151,151,151,152,151,150,152,153,147,132,121,127,83,95,156,139,138,137,135,134,131,130,128,152,153,154,154,154,154,154,153,153,153,154,141,131,145,116,57,110,118,62,111,139,142,137,137,136,133,132,130,154,154,154,154,155,155,155,155,156,153,148,124,74,112,125,71,74,109,58,49,71,135,142,139,138,135,133,131,155,155,154,155,156,156,157,157,157,150,141,125,99,83,129,94,53,97,80,65,49,104,150,139,139,138,135,133,155,156,156,157,158,158,158,159,154,144,104,101,116,82,106,101,49,53,82,71,38,92,152,141,140,138,138,134,158,158,158,158,158,158,159,160,149,139,110,65,97,68,75,106,51,46,79,100,51,76,153,142,142,140,138,136,159,159,160,159,159,160,160,160,152,136,107,60,73,41,67,83,35,55,74,121,75,58,149,144,143,141,139,138,159,160,161,160,161,161,161,161,155,133,121,95,59,47,78,66,39,92,121,119,79,57,151,146,144,142,141,139,160,161,161,161,161,161,162,163,158,135,133,108,72,69,92,80,98,147,126,99,47,103,157,147,146,144,142,141,161,161,162,162,163,164,164,165,161,132,132,115,87,72,96,141,148,137,103,70,53,151,151,149,147,145,142,141,161,162,163,164,164,164,165,165,166,134,118,109,89,77,88,138,130,115,85,46,88,162,149,149,148,146,144,142,160,162,161,162,164,164,164,164,168,147,111,111,96,87,86,124,121,98,63,40,136,157,152,150,149,147,144,141,160,162,161,162,164,164,164,164,165,162,119,109,107,93,75,99,95,72,34,105,161,151,151,148,147,145,147,148,160,162,163,164,164,165,165,165,165,163,136,120,108,83,65,72,67,32,85,164,152,152,150,151,154,150,129,92,162,163,164,164,164,165,165,165,168,152,138,132,109,87,75,70,59,47,153,158,158,158,155,143,105,70,41,27,161,162,164,164,164,165,165,165,168,142,129,136,117,106,89,74,40,87,167,153,134,106,81,56,33,30,26,26
15,124,129,133,138,102,90,93,96,81,32,99,109,30,0,28,52,53,60,65,71,78,96,108,114,122,128,133,137,125,130,134,136,100,95,94,102,72,40,105,111,17,0,35,51,54,60,66,73,80,97,109,114,124,129,133,138,126,131,137,135,100,99,97,107,60,51,109,105,4,0,40,50,55,60,67,73,81,100,109,114,123,129,134,139,129,133,138,131,97,96,95,112,50,64,112,102,0,0,43,49,55,62,67,73,83,99,107,115,124,129,135,140,131,136,139,130,127,115,102,102,51,74,111,92,0,0,46,49,56,61,68,75,85,102,108,117,126,131,137,140,130,137,140,133,122,124,121,114,104,99,103,84,26,25,51,52,54,59,68,74,86,104,111,119,126,132,136,141,132,138,143,124,97,92,78,96,103,106,109,115,115,103,97,91,84,78,73,73,89,108,111,120,128,132,138,142,134,139,145,120,103,98,69,67,77,70,84,118,108,108,107,110,120,120,97,81,79,86,113,120,128,133,139,144,135,140,145,118,108,108,114,88,42,76,61,92,97,91,86,93,120,138,124,96,87,51,79,125,128,134,138,144,136,141,143,116,108,108,119,82,43,121,113,41,53,87,70,98,133,136,124,113,107,73,47,106,133,135,139,144,138,143,145,113,110,109,123,71,49,121,126,11,0,42,78,145,132,137,140,137,127,99,66,59,130,136,141,144,138,143,145,112,114,108,127,73,64,121,122,0,0,50,100,160,100,134,148,154,149,111,76,47,82,142,140,145,140,145,139,115,116,125,115,95,102,98,99,7,53,131,117,81,87,137,150,160,147,110,81,65,43,115,147,144,141,148,137,114,122,130,104,111,128,124,94,73,95,96,84,41,75,171,142,125,127,112,95,72,47,60,145,146,142,149,134,113,124,110,76,94,126,128,94,77,92,88,90,97,114,117,92,94,112,113,91,69,59,35,99,155,143,150,132,118,124,124,93,70,109,110,79,85,99,95,101,114,116,90,65,73,94,94,80,65,59,45,45,134,144,150,131,123,125,127,118,44,112,78,60,79,88,92,101,114,103,77,61,62,74,76,77,74,64,56,39,62,145,150,130,126,126,132,103,47,137,60,32,46,64,69,89,103,100,77,63,65,70,70,77,81,69,63,52,37,146,151,129,128,126,137,93,84,88,42,30,9,72,86,58,83,84,73,70,73,72,72,76,78,69,62,55,45,146,148,128,130,127,132,128,72,39,32,20,0,135,143,53,75,77,71,75,83,85,82,80,73,70,66,57,49,147,147,128,133,127,141,119,45,22,56,9,0,92,146,84,78,112,102,109,111,100,87,79,69,67,70,66,52,149,145,127,135,131,139,70,30,64,128,1,0,38,100,116,63,76,115,110,107,98,83,74,66,65,68,70,62,152,143,127,139,133,149,51,82,147,129,0,0,48,53,75,55,36,83,102,90,87,76,70,69,70,73,72,68,151,144,131,142,138,152,45,116,154,123,0,0,52,57,53,57,60,78,119,87,73,73,69,73,80,79,70,66,151,140,135,143,143,149,39,122,159,115,0,0,55,55,56,59,65,64,102,133,96,62,63,63,71,79,79,69,149,138,139,144,146,140,39,135,159,98,0,4,55,53,54,57,62,68,68,126,151,110,81,61,64,79,92,77,149,139,143,146,151,129,46,144,163,82,0,12,58,52,53,56,63,67,74,92,143,111,89,101,98,104,97,85,151,143,147,147,155,118,48,149,165,66,0,17,58,50,53,56,62,66,75,91,102,97,113,125,114,117,115,108
15,187,166,175,139,128,189,75,62,106,103,104,107,111,114,127,141,152,162,167,171,177,183,187,190,194,196,199,202,186,170,181,132,142,187,63,72,107,104,105,109,112,115,129,143,156,165,168,173,180,186,190,193,197,200,202,205,185,172,184,124,156,179,54,82,108,104,108,111,113,117,131,144,158,167,170,175,182,189,193,197,200,203,205,208,183,175,183,118,171,169,45,89,106,103,105,107,109,116,135,149,161,169,172,176,185,192,196,199,203,206,209,211,179,176,181,114,185,153,49,103,114,115,124,133,137,121,132,146,161,173,177,181,188,194,204,208,206,208,213,215,178,188,176,142,168,154,139,142,139,146,150,144,135,130,129,131,136,146,154,161,159,150,157,187,216,217,215,218,185,193,159,147,151,145,142,128,129,130,126,123,123,136,138,136,136,134,133,146,150,140,128,114,142,201,228,224,187,173,138,136,131,131,126,121,125,126,126,124,129,141,142,139,132,128,131,145,148,145,140,124,106,108,161,219,187,189,152,127,142,115,113,116,121,124,124,124,134,142,139,134,129,129,141,145,138,143,137,128,124,116,101,119,191,199,145,147,209,77,70,113,106,108,110,113,118,131,144,159,143,138,139,140,143,143,137,130,129,133,120,105,192,202,135,162,204,63,74,114,106,107,110,112,112,125,151,198,175,153,146,139,132,139,132,134,130,147,131,116,192,202,131,176,194,54,83,114,106,107,111,112,115,124,181,185,160,131,124,132,113,113,130,137,139,158,139,125,195,200,125,188,181,47,91,113,105,107,110,113,111,144,201,163,149,121,82,93,81,73,153,158,158,153,133,130,197,197,123,200,169,43,98,112,106,108,109,112,113,190,187,150,134,116,79,67,58,72,174,176,169,145,124,130,199,192,123,211,155,41,104,111,107,107,111,106,139,220,184,145,127,95,67,68,52,97,182,185,181,148,121,123,206,187,127,218,139,42,110,110,106,108,110,106,132,204,192,157,130,87,59,66,74,110,173,193,187,152,122,119,212,181,133,229,126,46,113,110,106,108,110,112,111,180,211,183,143,101,56,84,116,107,158,193,173,145,124,110,217,174,142,235,113,49,117,109,106,106,109,112,114,146,221,205,161,108,67,60,93,152,176,172,143,134,122,99,221,162,153,235,98,55,116,107,104,104,107,108,118,132,203,219,184,161,150,147,169,171,154,134,118,119,116,102,224,155,167,232,83,63,116,105,104,103,106,107,117,135,169,223,205,190,181,180,185,149,119,113,111,109,113,115,223,145,181,224,71,71,116,104,103,102,104,107,118,134,189,204,164,154,157,179,182,137,105,106,98,105,112,105,221,141,197,215,59,78,114,102,101,101,104,107,115,147,218,170,152,156,153,173,177,140,107,102,161,142,87,86,218,135,209,202,52,85,111,97,95,95,97,100,107,154,205,160,147,143,138,159,164,143,101,130,255,160,89,88,212,136,215,197,150,145,153,144,140,137,134,136,138,154,178,161,157,169,137,116,149,148,116,143,250,161,97,91,205,139,219,201,161,125,142,140,140,140,144,147,146,141,136,145,143,192,187,120,119,154,136,147,168,135,103,96,200,142,223,197,155,129,142,140,141,141,142,142,144,144,146,148,142,151,206,165,126,150,150,149,150,128,93,92,191,150,227,194,154,134,142,142,144,144,143,146,147,148,150,149,148,146,160,166,146,152,152,151,155,130,89,68,182,158,226,192,154,137,144,142,143,144,144,147,146,147,150,150,149,151,149,149,150,150,151,150,152,128,99,80
1,139,140,141,141,141,142,141,142,142,142,142,142,142,141,141,142,132,117,136,134,135,133,131,129,129,128,126,124,143,143,144,144,145,145,145,145,146,145,144,145,145,146,135,133,142,74,131,146,136,136,134,133,132,130,129,126,146,147,148,148,149,148,149,150,149,149,148,149,147,154,139,85,140,70,81,111,142,138,137,136,136,134,131,130,151,151,151,151,152,153,152,152,151,152,152,152,149,161,131,79,139,59,43,63,125,146,140,138,137,136,135,132,153,154,154,154,156,156,155,155,155,156,156,158,156,164,108,83,137,44,75,79,102,154,141,141,141,139,137,135,157,157,158,157,157,158,158,158,157,156,160,138,140,167,88,97,141,51,97,84,88,157,144,145,144,142,140,138,161,161,162,162,162,162,162,161,160,159,163,126,92,168,87,116,130,47,105,87,87,159,148,148,145,143,142,140,163,164,164,165,165,164,165,164,165,163,166,114,89,156,77,131,105,48,125,97,87,162,151,151,148,146,145,143,166,167,166,167,166,165,166,165,165,165,168,89,105,133,76,143,102,74,148,88,87,165,153,153,151,149,147,145,169,169,169,169,169,169,168,168,168,169,167,82,113,135,85,149,107,81,148,79,90,168,154,155,153,151,150,149,170,170,171,171,171,172,171,170,170,172,158,68,117,145,77,145,103,65,143,92,102,170,156,157,155,154,152,150,173,172,172,173,173,173,172,173,171,176,149,60,127,130,54,132,77,65,153,89,104,172,159,159,158,157,154,151,174,175,175,175,175,176,175,175,174,177,154,65,120,116,65,138,74,79,148,80,102,175,161,163,161,159,157,154,176,177,177,177,177,177,177,176,175,179,136,70,129,121,121,141,115,83,106,82,106,175,164,165,163,160,158,157,177,178,178,177,177,178,177,177,178,173,135,133,119,97,110,113,118,102,85,76,79,172,165,165,164,162,160,158,178,179,180,179,179,179,179,179,178,173,154,122,90,82,94,114,119,96,84,91,60,152,173,166,166,164,162,160,179,180,180,180,180,180,181,181,182,175,139,93,78,81,97,131,122,108,139,129,65,122,182,168,168,166,164,162,182,181,182,182,182,183,183,184,179,171,132,84,82,93,107,137,146,145,123,142,94,94,182,169,169,166,165,163,182,184,184,184,184,184,184,185,174,167,142,89,71,97,123,146,157,168,113,139,118,68,170,173,170,168,167,164,184,184,184,185,185,185,184,187,170,166,152,101,64,98,129,148,154,158,140,121,85,50,168,175,171,171,169,166,185,185,185,186,186,186,186,189,167,164,156,115,78,81,130,160,160,155,126,112,55,73,184,173,172,172,171,168,185,186,186,186,187,188,187,191,168,151,149,117,87,79,141,173,168,154,116,87,42,132,187,174,174,173,172,170,184,185,186,187,187,188,186,191,176,145,139,119,95,90,150,166,150,132,99,63,55,179,178,176,176,173,172,171,184,185,186,186,186,187,187,189,183,151,141,125,105,100,150,156,140,112,84,39,102,192,176,177,176,173,172,171,184,186,186,186,187,188,187,188,190,155,141,136,114,99,138,141,125,92,58,36,164,182,177,177,175,172,171,169,185,186,187,187,187,188,187,188,192,163,145,136,114,99,119,112,89,62,20,112,190,177,179,178,175,172,168,168,185,185,186,188,188,188,188,189,186,162,150,136,117,102,104,94,62,26,104,192,181,181,179,178,176,175,178,168,185,185,186,188,187,188,188,192,172,155,158,140,134,115,93,79,33,63,195,183,183,182,180,178,177,163,131,78
4,157,161,167,170,174,176,178,180,182,184,183,186,187,190,191,190,189,188,190,188,188,189,187,187,186,186,186,186,157,162,168,172,173,174,177,181,183,185,185,187,189,189,190,193,193,188,194,193,190,189,187,188,188,188,187,187,159,165,169,172,175,176,179,182,183,187,187,189,188,201,198,170,176,206,182,176,195,192,190,191,190,188,187,186,161,167,170,173,176,179,180,183,185,183,195,185,193,236,194,167,150,226,179,139,162,198,194,193,192,191,188,187,163,167,170,174,177,180,182,186,182,211,243,205,171,238,204,163,178,232,184,132,122,193,154,189,195,191,190,189,165,169,172,177,178,181,184,187,181,241,255,237,146,194,227,149,193,240,181,119,189,183,114,124,198,189,189,190,164,170,176,177,182,184,186,184,199,246,247,221,136,176,229,145,194,224,165,176,209,143,111,80,175,197,190,191,167,172,176,178,183,184,188,180,225,228,225,208,119,154,198,200,196,206,234,252,189,109,91,78,174,198,192,193,167,171,176,181,184,186,189,181,240,219,206,209,119,121,182,195,223,237,249,230,198,138,83,75,187,197,194,195,167,172,178,182,184,188,185,203,254,216,179,204,125,96,178,116,157,203,211,194,210,161,95,85,197,198,196,195,167,173,177,181,184,190,182,234,239,186,168,148,95,102,183,93,134,189,155,195,221,177,106,117,206,198,197,196,169,175,178,184,186,188,189,254,224,171,149,142,113,117,139,102,128,183,83,204,244,197,127,117,209,197,199,197,172,175,180,184,187,187,197,255,225,171,140,124,107,121,115,128,135,158,136,201,255,214,150,90,184,205,199,199,172,176,181,184,190,186,211,255,223,172,135,117,111,126,126,173,171,200,233,213,230,206,155,97,138,212,198,201,171,177,182,185,191,185,227,255,224,163,136,133,121,114,129,181,198,235,224,225,189,175,165,113,129,213,200,202,171,178,183,186,192,184,238,255,223,161,160,157,124,121,173,225,240,232,223,206,168,138,151,104,160,212,203,203,171,176,180,184,190,184,245,255,220,184,198,167,146,204,246,255,238,231,214,181,150,123,111,106,198,204,202,202,171,176,181,183,190,186,250,255,237,221,216,170,178,249,255,255,242,213,194,165,140,116,88,157,213,201,203,203,172,177,182,185,191,186,248,255,254,227,214,190,183,254,255,255,232,186,176,153,136,101,109,206,205,204,205,205,172,177,182,186,192,186,240,255,255,232,208,194,196,255,255,237,211,173,155,144,123,88,167,214,206,205,205,205,173,180,183,187,193,185,226,255,245,230,209,196,203,239,232,208,185,160,152,138,96,115,212,208,209,206,206,205,174,179,183,187,192,187,224,255,228,222,219,201,199,217,214,192,164,151,150,121,88,182,214,205,207,207,205,203,173,176,183,186,193,187,219,247,213,219,221,196,188,215,211,187,152,137,137,97,141,216,207,207,205,205,204,202,173,180,186,189,194,192,213,242,214,218,211,191,176,212,213,169,131,125,115,121,210,214,213,213,212,211,211,209,141,143,144,144,148,141,172,255,228,225,206,196,171,201,203,148,120,118,100,123,150,143,143,143,140,140,141,144,97,94,93,94,97,87,122,255,246,233,216,207,173,189,202,147,116,104,99,89,86,85,85,83,82,84,82,77,107,107,105,107,110,107,116,255,255,230,216,212,171,168,208,154,111,97,94,98,99,99,96,95,96,94,90,173,107,108,107,108,109,108,103,241,254,224,204,207,174,155,198,150,106,95,92,98,100,100,96,96,99,84,179,251
24,160,165,171,175,179,182,185,188,191,193,196,199,201,202,203,205,205,206,206,206,207,208,208,208,208,208,208,207,162,167,173,177,180,183,186,190,193,196,198,200,203,205,206,207,206,207,208,208,209,210,211,212,211,210,210,210,164,170,174,181,182,186,188,191,195,198,201,202,204,207,208,208,209,210,211,211,212,212,213,214,212,212,212,212,165,171,178,169,184,188,190,193,196,199,202,204,206,208,210,210,211,213,213,213,214,213,214,214,213,214,215,214,165,175,183,129,162,193,190,195,198,201,203,206,207,210,212,213,213,213,213,215,215,214,215,215,215,216,215,215,167,175,175,124,122,197,192,197,200,202,206,207,208,211,213,214,213,215,216,218,218,215,217,218,217,218,218,218,169,176,182,141,102,183,197,197,202,204,206,210,213,215,215,219,218,215,218,218,219,218,218,219,219,219,219,219,170,176,186,157,99,157,203,199,202,205,210,208,196,209,220,197,207,222,217,219,221,220,218,220,220,220,219,221,172,178,186,172,122,122,202,198,166,154,199,206,167,134,177,184,144,197,225,219,221,220,221,221,221,213,195,160,173,179,184,191,148,101,170,193,172,159,163,215,186,132,156,198,141,132,229,221,221,222,222,222,214,196,154,134,174,179,184,193,165,127,132,182,210,191,157,204,199,149,174,198,140,113,215,227,224,224,222,217,202,162,136,215,175,181,185,189,188,158,130,122,208,202,154,184,205,149,170,200,142,99,195,232,223,225,218,214,185,125,185,234,176,182,187,190,197,166,141,141,168,213,170,162,210,155,156,206,159,94,183,235,226,215,216,209,153,121,225,227,177,183,188,193,197,182,191,177,150,189,174,127,191,151,133,204,174,98,148,236,203,200,213,181,117,188,233,226,178,184,189,193,194,205,204,152,123,144,165,105,160,150,122,235,204,93,94,157,176,197,186,128,157,237,226,230,177,183,189,193,196,203,192,158,137,135,154,129,148,160,121,155,138,97,138,167,178,174,142,126,224,231,230,230,178,184,188,192,196,198,215,197,155,141,138,151,126,183,146,126,183,193,198,184,155,143,109,181,238,226,230,229,178,185,189,191,195,199,215,207,181,162,142,131,136,174,195,224,222,208,194,174,141,119,129,227,228,228,230,229,178,184,189,192,197,199,214,216,204,176,144,124,161,201,226,218,210,196,182,160,131,113,201,233,228,231,231,231,178,184,189,192,198,199,214,222,213,175,144,141,178,211,223,216,204,184,163,147,112,168,237,228,231,231,232,232,178,183,189,193,197,199,208,217,220,183,166,171,173,210,219,215,196,177,154,128,122,226,230,229,230,232,232,232,174,181,187,191,196,201,204,212,215,192,172,180,159,194,208,202,187,172,144,112,186,242,231,233,232,233,234,234,132,135,136,139,142,148,148,181,211,190,175,172,143,166,190,176,167,152,126,133,208,209,213,216,218,222,226,228,124,124,125,127,126,127,123,138,213,196,167,157,132,158,185,166,146,132,118,128,132,133,137,138,140,143,144,143,128,129,132,133,133,133,136,131,201,187,156,147,142,161,181,158,134,116,117,136,136,136,136,138,133,131,138,151,127,127,129,130,129,131,132,130,205,183,166,162,161,162,169,148,121,109,124,138,138,137,138,142,159,195,203,191,128,129,132,131,131,132,131,135,218,198,186,181,167,154,162,137,116,107,130,139,138,139,133,158,220,212,227,202,129,130,131,131,132,133,131,139,211,198,194,185,155,146,155,127,116,105,130,139,138,138,137,208,240,206,193,226
2,180,180,180,181,181,181,180,179,179,178,176,176,175,175,173,174,173,170,169,169,168,166,165,163,162,160,159,159,181,182,182,181,182,181,181,181,180,180,179,178,177,176,174,175,175,172,172,171,170,167,166,165,164,162,160,158,182,182,183,183,182,182,182,182,181,180,180,180,179,178,175,176,176,175,175,173,172,169,167,166,165,164,161,158,184,184,184,184,183,184,184,183,182,182,182,181,178,174,174,172,170,174,174,174,173,170,169,167,165,164,163,160,186,186,186,185,185,185,185,184,183,184,184,190,184,173,172,168,154,154,156,158,160,166,169,169,166,165,164,162,187,188,187,187,187,186,186,186,186,184,192,209,204,198,198,195,179,157,135,121,122,148,158,163,167,166,165,164,188,188,187,188,187,187,188,187,187,181,184,194,190,183,184,187,181,173,153,125,128,145,127,139,169,167,165,165,188,189,189,189,188,188,189,187,193,199,193,196,197,186,172,160,142,148,160,154,162,134,108,148,171,168,166,165,190,191,191,190,190,190,189,194,210,201,191,191,194,190,181,175,149,150,153,136,139,119,133,170,172,170,168,166,191,192,192,192,192,191,192,209,198,166,154,164,172,165,164,183,154,142,148,114,128,145,168,175,173,170,170,168,192,192,193,193,192,193,207,207,178,176,185,188,186,172,168,172,133,115,128,138,172,177,178,176,173,171,171,170,193,192,193,193,194,197,212,196,192,204,205,184,161,146,132,132,145,166,172,178,182,180,168,151,144,159,171,171,193,193,194,194,195,202,206,204,199,185,162,139,111,96,82,118,183,186,186,184,179,148,112,97,95,107,159,172,194,194,195,194,194,204,209,209,181,142,112,91,81,75,67,85,174,187,186,184,142,96,95,101,102,94,147,173,194,194,195,193,193,210,217,192,152,113,87,74,73,70,69,67,119,185,189,161,100,97,106,110,108,117,163,173,194,195,195,192,192,222,211,165,122,97,81,71,72,72,72,71,74,121,160,122,92,109,111,108,131,161,173,173,195,195,196,192,199,224,192,143,110,96,76,69,73,73,73,76,76,70,78,95,98,108,105,129,171,176,174,173,196,196,196,191,199,210,172,130,106,89,71,72,75,80,82,85,88,84,73,94,102,101,110,164,180,178,176,174,195,196,195,190,196,201,165,126,101,83,71,74,81,89,92,97,100,101,88,97,104,101,133,180,180,179,177,175,193,194,195,185,198,201,164,127,101,86,73,75,85,97,102,107,111,113,102,95,105,105,157,182,180,179,176,174,194,195,196,180,198,196,161,130,107,93,79,77,89,104,114,117,120,118,108,97,108,141,177,181,179,177,175,176,195,196,198,181,196,190,158,131,110,99,89,79,93,109,117,119,122,116,105,108,149,177,182,181,179,181,196,209,195,196,197,181,192,188,160,133,115,106,95,82,94,110,115,117,116,111,104,140,182,183,182,185,199,204,225,231,195,196,197,181,189,183,156,133,120,110,97,85,97,105,109,109,107,104,125,173,185,183,185,220,242,222,213,231,195,196,197,182,186,180,152,133,118,108,99,91,100,101,102,103,103,125,170,187,187,185,212,243,239,242,215,211,165,166,168,162,184,178,151,131,114,107,102,97,100,100,98,102,121,154,167,166,169,207,238,244,234,228,235,204,103,104,104,122,188,175,147,124,112,108,105,100,95,100,102,93,95,99,100,101,166,238,244,244,228,215,229,227,98,100,99,140,190,171,146,120,111,108,105,101,94,99,99,92,91,91,89,134,233,242,243,244,223,205,224,229
20,134,136,136,138,138,138,139,138,140,140,139,138,138,138,137,135,135,133,131,130,128,126,123,122,120,119,116,115,139,139,139,142,142,142,142,142,143,144,143,142,141,140,137,138,138,135,135,133,130,129,126,124,123,120,118,117,144,144,146,146,146,147,146,146,147,147,147,147,145,154,147,87,143,145,137,138,135,134,131,129,128,124,122,121,148,149,152,151,150,150,152,152,151,151,151,152,149,157,161,69,93,127,146,139,139,137,136,133,132,129,126,124,152,155,155,156,156,156,157,156,155,157,157,157,155,160,162,64,42,69,131,149,143,141,139,138,135,132,130,127,157,158,159,160,161,161,162,160,160,160,161,161,158,168,157,43,83,94,92,160,147,146,144,143,139,138,135,132,161,162,163,165,165,166,165,165,165,165,166,167,162,175,158,45,111,118,64,161,152,151,148,147,144,141,139,137,167,168,168,169,169,170,170,170,171,170,171,171,164,187,164,56,115,133,61,157,158,155,153,152,148,145,143,140,172,172,172,172,173,173,174,173,174,175,175,173,168,197,144,46,127,157,65,148,165,159,158,157,154,149,146,145,175,174,175,175,176,177,177,176,177,179,179,176,176,209,126,52,152,154,60,143,171,162,161,159,158,154,151,149,178,178,179,181,181,181,181,181,180,182,182,161,142,179,140,68,162,154,54,137,176,164,165,163,160,158,155,154,183,183,183,184,184,184,185,184,184,184,185,196,176,139,114,67,128,161,74,134,178,168,167,166,163,161,159,156,184,186,185,186,189,189,189,187,187,187,187,168,191,164,131,96,105,157,81,125,183,170,171,168,167,163,161,159,187,189,190,190,192,190,191,191,191,190,194,153,102,147,173,97,47,96,65,114,188,173,174,172,170,167,164,162,190,192,192,191,193,191,193,193,193,192,197,177,34,106,171,108,44,35,35,100,192,174,176,174,172,169,166,163,192,193,193,192,194,193,194,194,194,194,198,168,56,74,155,146,83,65,24,78,195,179,179,177,175,173,168,165,194,195,195,195,194,195,196,196,196,192,187,160,115,63,53,127,121,96,34,50,195,181,181,179,177,174,171,167,195,196,197,197,197,198,198,199,197,192,184,170,148,100,44,82,117,99,45,32,187,187,184,182,178,176,174,170,198,199,199,200,199,200,200,200,192,181,126,118,159,130,72,56,97,138,89,24,160,198,184,184,182,180,175,172,200,200,201,201,200,201,203,202,189,183,144,54,79,135,54,31,65,140,128,41,83,204,186,186,184,181,178,176,202,202,203,204,204,204,204,204,191,175,135,81,29,86,54,26,92,166,158,78,29,184,195,188,184,183,182,178,204,205,205,206,206,206,206,207,191,179,169,114,43,71,79,55,166,188,148,72,33,186,195,190,188,185,183,179,206,207,208,208,208,208,208,210,190,182,185,113,71,78,139,168,201,159,129,37,61,204,192,192,190,185,182,180,209,209,209,211,211,209,208,213,192,179,177,133,86,74,181,213,184,134,108,22,106,210,190,193,191,187,184,183,209,209,210,211,211,211,210,215,196,164,159,136,90,73,170,185,158,114,82,23,151,207,193,193,192,189,184,182,207,208,209,209,210,210,210,214,202,162,158,135,102,83,161,180,143,98,54,29,190,200,194,193,191,189,189,196,209,210,211,210,210,211,212,212,213,173,153,139,120,85,150,172,124,75,17,88,213,195,195,192,192,195,180,119,211,211,212,211,211,212,214,214,217,184,162,141,117,79,113,133,84,43,7,168,208,197,196,193,182,129,57,0
16,74,75,79,83,91,100,105,111,115,118,119,121,124,129,132,136,137,138,139,142,144,144,146,147,148,148,150,151,74,76,79,84,92,100,107,112,116,118,119,121,126,130,131,134,137,140,141,142,144,145,146,147,149,149,149,151,74,77,80,84,93,101,108,113,117,118,120,123,126,130,132,135,137,140,142,143,144,146,147,149,150,150,151,152,75,78,80,84,94,102,108,113,117,120,122,125,127,130,134,136,138,140,141,143,145,147,149,150,150,151,151,152,75,78,80,85,96,105,111,115,119,121,123,125,131,134,135,139,143,142,143,145,147,148,150,150,151,152,152,152,75,78,81,87,97,106,113,115,118,122,122,121,122,118,108,102,112,144,145,145,149,150,151,151,153,154,154,154,77,79,82,89,99,106,109,116,125,121,110,98,89,79,72,75,69,86,142,151,149,151,153,154,155,155,155,156,78,80,82,90,98,105,120,135,128,108,83,80,79,69,63,70,79,61,77,145,154,151,155,157,157,156,157,157,77,81,84,87,98,128,141,118,96,78,63,74,75,66,62,70,74,66,66,79,157,153,156,157,157,158,158,158,79,82,75,104,130,124,92,81,76,65,62,77,75,64,66,73,71,65,82,53,106,165,155,158,158,159,160,159,77,76,112,140,107,81,65,68,68,54,71,82,73,65,73,74,65,73,79,68,58,151,158,157,160,162,162,162,73,146,158,103,76,65,57,56,80,105,78,65,46,67,80,70,50,77,77,68,50,98,170,159,162,162,162,163,96,179,120,89,67,53,71,104,162,162,91,46,48,50,72,57,42,86,74,63,61,47,129,168,161,162,163,164,81,134,98,72,70,115,171,167,172,151,107,60,54,50,42,25,51,93,71,74,74,66,61,137,168,162,164,166,77,84,87,78,155,172,170,160,171,145,109,74,60,53,18,5,58,91,70,81,83,83,69,73,167,166,166,166,81,82,84,103,175,155,170,165,168,132,97,76,72,64,56,13,43,84,69,79,87,77,69,51,136,174,166,167,81,85,79,120,183,156,176,166,152,110,73,76,80,73,67,48,25,67,76,114,101,70,60,45,98,178,165,168,82,84,77,146,185,154,175,163,133,91,80,85,87,83,69,60,29,39,120,149,145,127,97,43,99,180,167,169,82,85,78,153,184,150,153,145,94,70,72,91,87,75,71,63,55,42,141,164,164,164,161,119,127,175,169,171,81,84,80,131,189,149,104,95,63,61,68,73,70,63,59,57,71,55,135,170,165,168,171,159,115,134,176,170,81,83,86,105,160,103,73,67,67,75,80,72,57,54,58,52,57,46,108,180,160,166,165,145,107,88,176,171,82,82,89,98,118,80,65,81,76,64,58,55,48,45,48,45,58,74,79,137,154,154,153,131,86,113,179,172,83,84,90,101,110,110,71,69,55,72,74,80,75,55,45,64,74,81,72,58,80,123,133,115,126,172,175,174,83,83,90,101,116,105,61,61,52,58,122,95,72,65,51,40,40,32,31,31,8,82,178,168,179,177,174,175,82,84,90,101,115,87,63,57,60,46,27,49,30,18,11,7,7,9,8,11,0,57,186,173,174,175,175,177,82,84,90,104,106,73,62,55,52,63,22,0,21,19,12,6,6,7,8,9,0,133,183,172,175,175,177,178,81,84,90,105,92,65,59,53,50,53,48,0,12,21,12,7,6,6,8,1,25,173,174,175,177,178,178,178,81,84,91,103,73,60,57,51,47,51,56,4,1,16,11,7,6,5,9,0,72,190,172,176,178,179,179,179
7,175,178,180,181,183,183,186,186,186,187,186,186,186,186,185,185,185,184,185,183,182,181,180,180,178,177,176,175,178,180,181,182,184,185,187,187,187,188,188,187,187,187,187,186,186,184,184,185,184,182,181,180,179,179,178,178,179,181,183,184,186,187,189,189,190,191,190,189,189,189,189,188,187,187,186,186,185,184,182,182,180,180,179,179,181,182,185,186,187,189,191,191,191,191,191,191,192,191,190,188,188,188,187,186,186,185,183,183,182,181,180,180,182,184,187,188,189,191,193,193,193,193,193,193,193,192,192,190,190,188,188,187,186,186,185,184,184,182,182,181,184,186,189,190,192,194,195,196,196,195,195,194,194,194,194,193,192,191,190,190,188,188,187,185,185,184,183,182,186,188,191,191,194,196,196,197,197,196,197,196,196,196,196,195,194,193,193,192,190,189,189,187,186,186,184,183,187,189,192,194,195,191,179,174,181,184,180,171,173,172,178,178,176,173,175,167,168,183,185,188,189,187,185,185,189,191,194,193,191,177,151,130,129,139,147,141,136,124,139,152,154,142,148,133,153,182,163,188,190,189,186,185,190,191,190,188,180,169,159,144,119,107,121,129,130,117,124,139,139,136,130,128,137,161,149,189,191,190,188,187,187,184,178,172,172,176,173,152,107,92,106,117,110,90,98,95,102,109,104,103,108,120,153,187,177,189,190,187,180,175,174,173,166,158,164,139,90,94,104,120,119,107,97,104,133,151,142,128,134,141,172,197,151,180,191,190,176,173,170,163,156,150,152,143,105,81,83,100,107,116,112,104,132,149,143,133,134,136,131,147,142,189,193,191,175,167,161,157,155,153,154,152,124,80,58,59,78,95,98,98,113,113,114,108,111,122,136,161,189,196,194,193,169,162,157,153,152,151,151,142,114,79,59,66,131,119,115,121,136,149,159,172,189,196,198,199,198,197,195,194,162,155,149,146,141,140,137,128,105,74,61,60,159,207,203,205,206,206,205,203,203,202,201,201,200,199,197,195,157,152,147,146,145,142,141,135,115,75,59,65,90,210,210,210,210,208,207,205,204,204,203,201,200,200,198,196,157,155,149,148,144,144,146,144,118,77,65,63,66,196,212,211,210,209,208,207,206,206,205,202,201,201,199,198,162,163,158,148,141,132,134,130,108,83,74,67,59,163,214,212,210,209,209,208,208,207,206,204,203,201,200,199,163,162,158,145,137,126,120,112,95,85,83,73,62,95,214,214,213,211,210,209,208,207,207,205,204,203,201,199,156,152,141,127,118,109,104,95,84,80,84,76,66,113,214,214,213,212,211,209,208,208,207,206,205,203,201,200,139,134,118,99,92,90,92,75,72,81,86,102,156,195,214,214,212,211,210,209,208,208,207,206,205,203,201,200,96,104,96,85,107,147,188,162,131,138,171,202,214,214,215,214,214,213,211,210,209,208,207,206,206,205,201,200,29,37,43,119,202,211,213,214,214,215,216,217,216,216,216,215,215,214,213,212,211,209,208,207,206,205,203,202,9,11,27,182,211,214,215,215,216,217,217,218,218,216,216,215,215,214,214,213,211,209,208,208,206,206,203,202,14,8,98,209,213,214,215,216,218,219,218,218,219,217,216,216,216,214,214,213,211,209,209,208,207,206,204,202,25,18,182,210,212,214,215,217,218,217,218,218,218,217,216,215,215,214,214,214,212,210,209,208,201,196,187,175,28,23,178,196,197,198,200,201,201,202,201,201,200,201,199,197,196,195,195,194,193,190,177,140,101,84,67,54
13,195,195,196,195,195,195,196,198,197,196,196,197,198,199,199,198,199,199,200,199,199,198,198,197,197,197,196,195,196,198,198,197,197,197,199,198,198,198,199,198,198,200,201,200,201,200,200,200,201,200,198,199,200,199,197,196,197,199,198,199,199,199,200,199,200,199,200,200,200,201,201,201,201,198,199,201,201,201,200,200,200,199,198,198,197,198,199,199,199,201,201,201,200,199,200,202,202,202,204,210,208,182,161,184,192,197,201,202,202,200,200,200,197,199,199,200,200,202,201,201,200,200,201,202,202,209,227,230,226,194,150,116,128,136,186,203,202,201,201,201,198,198,199,201,201,201,201,202,203,203,202,201,200,207,202,216,223,202,155,113,92,114,130,205,202,202,202,201,199,199,200,201,201,201,201,202,203,202,205,192,172,191,174,169,201,202,176,122,99,147,122,203,203,203,203,202,199,200,201,202,202,203,203,204,203,206,225,192,158,180,187,189,200,193,188,127,94,129,119,201,204,205,204,203,199,200,201,202,202,203,203,203,201,209,227,202,175,146,160,186,200,180,141,101,73,129,183,205,206,205,205,205,199,201,201,201,202,204,202,208,203,154,163,208,193,157,96,126,177,184,156,135,111,107,198,207,206,205,205,204,199,200,202,202,201,201,207,223,198,133,109,180,211,170,109,50,115,145,162,184,163,119,149,207,206,206,205,205,199,200,201,201,202,210,227,210,182,138,110,141,214,177,133,66,64,73,169,205,193,154,112,188,206,206,205,205,200,200,200,201,207,220,206,182,181,155,124,100,210,186,158,102,60,68,137,213,208,175,128,126,205,206,204,204,201,201,201,202,217,205,176,161,188,167,132,81,167,203,178,136,66,77,126,207,211,179,143,108,179,206,206,205,202,201,202,203,221,213,189,160,189,171,145,114,78,188,199,163,114,102,197,204,200,174,148,115,158,208,207,206,201,200,200,204,216,206,188,160,158,175,174,142,72,100,199,189,177,138,204,198,178,148,131,104,166,208,207,206,201,201,201,202,219,222,205,178,152,153,181,158,135,71,152,194,184,183,199,186,164,136,107,96,189,208,207,206,201,201,202,201,217,226,215,193,176,162,163,159,171,120,182,215,210,210,194,176,155,127,103,110,203,208,209,208,157,159,163,166,201,228,222,203,186,177,177,162,140,143,210,225,224,206,190,171,147,118,96,140,206,209,208,207,101,101,101,100,159,227,222,211,197,186,186,182,157,148,199,223,223,204,177,160,139,110,93,127,154,158,160,162,102,101,101,101,123,218,217,215,211,198,190,185,170,144,171,214,214,197,171,145,125,102,95,97,96,97,100,105,101,102,101,103,101,191,211,213,215,210,199,186,172,155,143,200,200,183,163,133,114,99,94,101,107,126,152,178,102,103,104,104,101,137,208,211,216,215,201,187,170,156,144,169,184,169,145,127,108,92,108,166,189,201,205,208,102,103,103,104,105,103,175,211,212,207,191,177,164,152,141,144,164,158,139,120,103,88,165,214,206,198,192,198,102,103,103,102,104,102,123,210,207,191,177,168,159,149,130,130,152,158,144,110,95,97,205,212,198,184,167,162,102,103,102,102,101,103,102,191,206,180,166,164,157,144,124,117,156,166,134,100,89,148,216,210,190,154,142,145,102,102,103,101,101,105,100,170,209,189,181,173,158,140,125,115,162,159,116,95,93,205,218,220,197,146,118,138,102,103,104,101,101,103,100,160,213,197,193,181,163,144,132,113,164,143,105,90,122,213,214,228,213,158,110,123
22,175,175,176,175,176,177,177,176,176,177,177,177,175,174,173,172,172,172,170,169,167,166,165,163,161,159,157,155,178,179,178,179,179,180,180,179,179,180,181,180,178,177,177,176,175,174,172,171,171,170,167,166,164,162,160,158,181,181,182,182,183,183,182,182,182,181,157,174,182,180,171,160,177,177,175,175,173,172,170,168,167,166,163,161,184,184,185,185,185,186,186,186,184,178,138,146,186,184,176,125,166,180,179,178,177,175,173,172,147,153,167,164,186,187,188,188,188,188,188,188,186,179,150,121,184,186,181,122,149,184,181,180,179,177,176,176,127,122,170,166,188,189,191,192,190,190,192,190,189,185,162,109,175,188,183,122,132,187,184,182,180,179,181,171,112,127,173,171,191,192,193,194,193,193,194,193,193,188,165,106,160,192,186,127,123,187,186,185,183,181,185,157,103,145,175,172,194,195,194,195,195,196,196,195,196,192,175,124,139,196,192,134,115,187,188,188,185,185,187,142,101,165,176,173,197,196,196,197,198,198,198,196,197,196,186,143,120,195,193,127,106,185,190,189,187,190,179,129,116,179,178,176,199,199,198,199,200,199,200,199,200,200,192,151,102,185,194,124,104,184,193,191,188,187,160,106,143,183,180,179,200,201,201,201,201,201,200,201,202,201,193,164,106,157,196,135,107,183,196,193,190,179,139,97,172,184,181,180,202,202,202,202,202,202,201,202,202,203,191,173,136,122,187,139,107,180,199,196,195,178,122,123,188,186,184,182,204,203,203,203,203,203,203,204,203,204,198,181,159,134,168,142,121,159,194,197,191,163,107,161,192,188,187,185,206,206,206,205,205,205,205,205,205,206,205,187,183,186,183,169,167,123,128,175,176,135,109,186,192,189,187,185,207,207,207,207,207,207,206,207,207,208,208,196,187,171,157,160,169,123,92,101,124,100,138,197,193,190,189,186,208,208,208,208,208,208,209,209,209,208,209,204,192,144,86,108,155,139,112,102,101,76,166,199,195,193,190,188,209,209,209,210,209,209,210,210,210,210,209,204,184,129,84,68,117,137,126,119,110,71,170,201,197,195,193,191,210,210,211,211,211,211,211,211,212,211,210,201,185,152,110,72,71,81,105,121,99,66,138,203,198,197,193,192,212,212,213,213,214,214,213,214,214,213,211,198,186,159,109,75,78,86,113,150,125,84,93,193,199,197,194,194,214,214,214,214,214,215,215,215,216,216,212,197,186,151,111,85,87,117,170,183,158,112,69,151,202,198,196,195,213,213,214,214,214,215,215,215,216,215,213,198,189,164,124,91,95,147,194,203,180,141,74,121,202,198,196,195,214,213,214,214,214,215,215,215,215,215,213,197,187,170,132,94,104,166,201,199,176,131,70,132,202,197,196,194,214,215,215,215,215,216,216,216,216,216,214,193,183,180,137,100,113,181,203,184,152,112,64,159,200,196,195,194,216,216,216,216,217,217,217,218,217,217,215,190,179,177,139,103,113,186,192,166,131,100,74,183,201,199,197,196,216,217,217,217,217,217,218,218,218,218,217,190,174,169,139,101,105,174,178,159,119,85,89,196,202,200,187,143,214,216,217,217,218,218,220,220,220,220,220,198,173,168,139,107,105,168,172,147,103,67,117,204,189,146,96,55,149,152,156,161,165,168,172,174,177,182,186,183,172,163,139,118,102,156,162,128,86,59,133,144,91,57,49,42,106,106,107,108,108,107,108,107,106,108,109,122,171,164,138,120,97,128,132,97,66,51,68,59,38,41,48,36
5,172,174,178,179,180,181,183,182,183,185,185,184,185,186,186,185,190,187,185,186,184,184,184,183,181,180,181,179,176,179,181,182,182,185,186,187,186,187,189,189,190,191,189,190,162,185,189,188,188,187,187,185,184,183,183,181,180,182,185,186,186,189,190,190,190,191,193,193,190,193,193,207,138,163,200,191,192,192,190,189,188,187,186,185,184,187,189,190,190,192,194,194,194,195,195,195,196,162,175,218,145,142,206,194,195,194,194,193,192,191,189,188,188,190,193,194,195,196,197,197,197,199,199,197,211,159,143,225,143,127,211,197,199,197,197,195,194,194,193,192,191,193,198,198,198,200,201,201,202,202,203,200,217,172,132,219,143,130,214,201,202,200,200,199,197,197,196,195,193,195,200,201,201,204,204,204,199,203,207,204,220,177,121,216,156,136,215,205,206,205,204,202,201,200,200,198,197,198,201,204,204,207,206,212,176,166,215,205,221,188,125,212,146,141,218,207,209,208,211,209,203,203,202,200,199,201,204,207,208,208,207,214,186,135,214,208,224,191,113,205,140,144,222,210,210,207,174,193,212,204,204,204,201,204,208,209,210,210,209,218,207,118,208,213,222,189,104,204,162,145,224,208,214,214,172,147,211,210,207,206,202,206,209,211,211,212,213,217,206,121,207,216,217,205,115,180,176,147,222,206,196,177,205,179,175,212,210,208,206,208,212,213,214,215,216,216,223,132,187,222,211,213,122,142,179,156,220,209,190,95,172,199,146,199,217,211,208,211,215,215,217,217,216,218,228,164,157,225,213,217,125,135,176,155,209,204,177,140,206,177,150,219,214,214,208,212,216,217,217,218,220,219,214,217,179,188,212,202,148,159,163,140,180,191,152,195,222,143,186,224,214,216,211,214,217,220,221,221,220,223,209,224,211,176,179,178,154,154,153,143,182,190,156,213,203,119,205,222,217,217,214,217,218,221,222,223,223,224,219,220,233,198,171,170,145,151,148,146,176,186,170,228,177,105,218,222,220,219,215,218,220,221,222,224,225,225,225,222,247,220,160,155,138,132,142,150,174,181,171,233,172,122,231,221,221,221,216,219,222,222,223,225,225,226,227,225,249,229,165,129,130,124,138,164,183,169,162,228,173,138,234,222,223,223,219,222,223,224,225,225,228,228,229,225,244,226,172,130,129,125,154,177,195,208,175,213,174,144,236,224,224,223,219,222,223,224,226,229,229,229,231,225,240,221,172,133,123,134,167,184,214,226,188,188,152,139,235,226,226,223,221,223,224,226,228,229,230,230,232,224,240,221,181,134,122,142,181,208,214,217,202,159,115,125,236,227,227,227,222,223,224,228,229,230,231,231,234,225,237,222,185,137,125,141,191,222,219,209,179,132,83,153,240,227,229,229,222,223,228,229,230,230,232,233,236,229,229,220,185,139,131,133,200,230,216,189,157,106,106,226,234,230,230,229,223,224,228,230,230,231,233,234,237,225,214,218,184,144,140,131,197,218,195,168,136,91,192,245,232,232,230,230,224,224,227,229,230,230,234,233,238,227,207,211,176,156,145,134,183,199,182,157,103,130,244,234,236,234,232,231,223,225,227,229,229,230,231,232,235,229,205,200,171,161,139,131,174,185,172,124,90,214,241,235,236,235,233,232,222,224,227,229,229,229,230,233,235,228,209,202,175,160,142,120,159,158,132,88,180,245,233,236,235,235,233,232,223,224,228,229,229,230,232,235,239,225,215,203,164,152,144,117,140,126,87,149,246,234,237,236,235,235,233,231
15,177,153,163,121,108,179,45,31,83,79,80,84,88,92,107,124,136,147,153,158,165,172,177,181,185,188,191,195,175,157,170,112,125,177,32,43,84,79,82,86,89,93,109,126,140,151,155,160,169,176,180,184,188,192,194,198,174,159,173,104,141,168,21,54,84,80,84,88,90,95,112,127,143,154,158,162,171,179,184,189,192,195,199,201,172,163,172,96,158,155,11,62,83,79,81,83,86,94,116,133,146,156,160,164,174,183,187,191,196,199,203,205,168,164,170,91,175,137,15,79,91,93,104,114,118,100,113,129,147,161,165,170,178,185,197,202,199,202,207,210,167,178,164,124,154,139,120,124,121,129,134,127,116,110,109,111,118,129,139,147,144,134,142,177,210,213,210,213,174,184,145,131,135,128,124,108,109,111,106,103,102,118,120,118,117,114,114,129,134,122,108,91,124,193,225,221,177,161,120,117,112,111,105,99,104,105,106,104,109,123,125,120,113,108,112,128,131,128,122,103,82,84,147,214,177,180,136,107,124,93,90,93,99,104,103,103,114,124,121,115,109,109,123,128,120,125,118,108,103,94,76,97,181,191,128,130,203,49,40,90,82,85,87,90,97,112,127,145,126,120,121,122,125,126,119,110,109,114,99,81,183,195,116,147,197,32,44,92,82,83,87,90,89,105,135,190,163,137,129,121,113,121,112,115,110,130,111,94,183,194,111,164,185,21,55,91,82,83,87,89,93,103,170,175,145,112,103,113,90,90,110,118,121,143,121,104,186,193,104,178,170,14,64,90,81,84,87,90,88,126,193,149,132,100,54,67,53,44,137,143,143,138,114,111,189,189,102,192,156,8,73,89,82,84,86,89,91,181,177,133,115,94,50,36,26,42,162,165,156,128,103,110,191,183,102,205,140,6,80,88,83,84,88,82,121,215,173,127,107,70,36,38,19,72,171,174,169,131,99,102,199,178,107,213,121,7,86,87,83,84,87,83,113,197,183,142,110,59,27,36,44,87,161,184,177,136,101,98,206,170,113,227,106,12,90,86,82,84,87,89,88,169,205,172,126,77,24,57,93,83,143,184,160,128,104,87,212,162,124,234,90,16,96,85,82,82,86,89,92,129,216,198,147,85,36,28,67,136,164,159,126,115,100,74,217,148,137,233,72,22,94,83,80,80,83,84,96,113,196,214,173,147,133,131,156,158,139,115,96,98,94,78,220,139,154,229,56,31,94,80,79,79,82,83,95,116,156,219,198,180,170,169,174,132,97,90,88,86,90,93,219,128,170,220,41,41,94,79,78,77,80,83,97,115,179,196,150,139,142,167,171,119,81,82,73,81,89,81,217,123,188,210,27,49,92,77,76,76,80,84,93,131,213,157,137,141,137,160,165,122,83,77,147,125,60,59,213,116,202,194,18,58,88,72,70,70,72,75,83,138,198,145,130,125,120,144,150,126,77,110,255,145,62,61,207,118,210,189,134,128,137,127,122,118,115,117,120,138,167,147,142,156,119,94,133,131,94,126,251,146,72,65,198,121,214,193,147,105,124,122,122,121,126,130,129,123,117,128,126,182,177,99,97,138,117,130,155,116,79,70,192,125,219,189,140,109,124,122,124,124,124,124,127,127,129,131,124,134,199,152,106,134,133,133,134,108,67,66,182,134,224,185,139,115,125,125,127,127,126,130,131,131,133,133,132,129,145,152,129,136,135,134,139,110,63,37,171,143,223,183,138,118,126,124,125,127,127,130,129,131,133,133,132,134,133,132,134,134,135,134,136,108,74,52
22,61,64,69,76,84,90,94,97,100,104,107,110,112,114,116,118,118,120,119,119,119,120,118,117,118,117,117,116,61,65,70,79,86,92,96,99,102,106,109,112,115,116,118,119,120,121,122,122,122,122,121,120,120,119,119,118,62,66,70,79,87,93,98,100,104,108,112,115,117,117,120,122,122,123,124,124,124,124,123,123,123,122,122,121,63,66,71,80,88,96,100,101,105,109,114,114,120,120,122,123,124,125,125,127,129,127,126,126,124,127,125,123,63,67,73,82,90,98,102,103,107,111,114,134,101,115,126,125,126,127,131,121,113,131,129,127,127,112,124,125,63,66,73,83,91,99,103,105,109,111,122,156,82,102,130,125,129,129,144,111,70,133,129,137,127,69,105,132,64,66,74,84,92,99,103,106,111,113,125,161,91,97,134,127,130,134,146,93,71,138,132,145,120,64,118,133,64,67,74,85,95,101,104,107,113,115,123,165,107,93,135,131,131,143,145,76,96,142,147,140,86,80,138,130,65,68,75,86,95,103,106,108,115,117,125,169,123,87,135,133,133,140,129,66,116,145,154,130,74,118,139,133,65,68,77,87,96,103,107,109,116,120,124,165,126,82,129,135,138,146,114,58,135,154,134,100,84,140,135,135,66,68,77,88,97,104,109,111,116,122,123,161,143,91,119,138,146,160,102,61,167,164,128,70,113,143,137,137,65,68,77,88,98,106,110,113,118,124,123,157,154,105,111,143,144,151,64,92,182,157,110,73,141,139,140,139,66,69,78,89,98,107,111,113,119,125,125,142,150,96,77,130,135,140,116,154,160,137,75,95,151,140,141,140,67,69,79,90,99,109,111,114,120,125,127,128,148,94,98,137,142,148,163,159,145,102,59,134,147,142,141,141,66,70,80,91,101,109,112,115,119,129,142,104,138,115,118,158,139,154,153,154,127,69,94,155,144,145,142,143,66,70,80,92,101,110,112,116,117,147,150,123,109,114,101,123,138,153,149,134,105,64,125,153,146,146,144,144,67,70,80,92,101,110,114,118,121,143,143,145,136,133,98,54,100,133,131,103,94,62,137,153,148,148,146,145,67,70,82,92,102,111,114,118,120,138,148,127,134,123,93,77,57,66,88,86,76,63,149,152,150,149,147,146,66,71,82,93,105,111,115,119,120,143,142,124,110,102,112,102,82,59,55,51,71,60,148,154,150,149,149,148,67,70,82,94,104,111,116,119,122,140,173,148,106,99,110,118,100,83,78,56,45,53,143,155,151,150,150,150,67,71,82,94,104,112,115,119,124,134,181,140,125,123,144,152,115,96,88,52,36,45,145,155,152,151,150,150,67,70,83,94,105,113,116,119,125,131,179,149,131,152,172,164,129,103,85,50,33,56,156,153,153,152,151,151,67,70,83,94,105,114,116,119,127,129,173,159,133,149,173,145,128,94,79,55,29,76,164,153,154,152,152,151,66,70,83,95,105,113,116,120,128,128,162,169,147,142,173,134,129,114,78,56,28,83,166,153,156,154,152,151,63,69,83,95,106,113,115,120,127,129,149,171,154,131,166,141,124,117,80,50,27,97,165,154,156,155,153,152,62,68,83,95,105,112,114,120,127,134,146,166,156,120,147,136,112,101,66,43,33,128,162,154,155,153,153,152,62,68,82,94,105,112,115,120,129,124,101,148,148,107,109,108,87,72,51,41,53,155,157,155,156,154,153,153,60,66,81,94,105,112,115,119,134,73,0,117,136,91,100,105,92,69,57,37,77,167,156,156,156,154,154,154
23,146,149,150,154,160,165,168,171,174,176,178,180,181,184,185,186,187,187,187,187,186,186,185,185,183,183,183,183,147,150,151,156,161,165,170,171,173,177,179,181,183,184,185,188,188,187,187,187,187,187,187,186,186,185,185,184,147,151,152,157,162,166,170,172,175,179,180,182,185,185,187,188,189,188,187,188,189,189,187,187,187,187,186,185,148,151,153,157,163,166,171,174,176,180,182,184,186,188,188,188,189,189,189,191,191,191,191,189,188,187,187,186,149,151,154,159,165,169,173,176,178,182,183,185,186,188,191,191,191,191,191,191,188,172,169,182,190,189,188,187,151,152,154,160,166,171,175,178,180,183,185,186,188,188,191,193,193,192,191,189,182,168,160,152,172,175,191,188,151,153,154,161,166,172,175,178,180,183,186,188,189,191,192,192,195,197,184,189,182,146,168,161,134,111,191,190,151,155,158,163,167,172,176,179,182,185,187,190,192,194,195,194,202,193,155,160,132,85,129,118,105,154,194,191,153,157,159,163,169,173,177,181,184,186,189,192,192,195,195,200,203,187,129,76,120,162,194,183,187,196,193,193,154,157,160,164,169,173,177,181,184,187,190,191,192,195,195,207,197,186,133,109,202,197,198,198,197,195,194,194,155,157,160,165,170,176,179,182,185,187,190,192,193,193,193,199,187,187,169,167,185,160,138,193,198,196,195,195,156,158,162,167,172,177,181,184,186,189,193,194,198,183,178,176,187,192,192,199,187,158,82,160,204,197,196,195,157,159,161,167,173,177,182,184,186,190,193,200,200,177,156,156,163,163,159,172,165,145,80,143,206,198,197,196,158,158,161,169,174,178,182,185,187,191,193,204,195,166,138,129,167,177,168,156,136,135,89,132,208,200,199,197,159,160,162,169,175,179,183,186,190,192,198,209,196,165,141,138,148,166,172,177,159,120,74,121,209,201,200,199,158,160,164,170,176,180,183,188,191,192,207,210,198,181,178,176,159,137,125,137,146,113,58,129,212,202,200,200,159,161,165,172,177,181,185,190,192,195,212,210,198,180,181,167,182,161,136,123,96,81,54,124,197,205,202,201,159,161,166,172,177,181,186,189,192,209,215,214,191,167,159,131,176,177,149,116,83,63,83,130,148,210,202,202,159,161,166,172,177,182,187,186,204,222,215,204,161,119,118,104,111,154,160,107,69,65,92,113,81,152,209,203,161,163,167,172,178,184,184,199,224,223,207,182,157,116,74,82,104,190,174,98,67,64,91,86,59,60,193,206,161,163,166,173,178,182,193,223,225,214,195,171,156,121,68,101,157,180,145,80,61,58,88,79,63,51,166,210,162,164,166,173,178,180,221,228,218,201,181,174,153,110,63,60,94,112,95,59,54,77,85,77,59,86,193,207,162,164,168,174,177,199,232,224,212,193,178,168,138,107,77,51,56,66,72,67,61,86,85,73,110,192,210,206,161,162,169,175,186,230,223,216,202,182,169,154,126,98,70,65,86,93,90,83,70,69,91,155,210,211,207,207,160,162,151,145,219,229,212,203,187,171,156,139,112,88,66,81,99,102,93,77,69,119,197,213,209,208,207,207,160,165,91,54,206,222,201,187,169,154,141,125,100,81,71,89,94,86,66,79,167,213,213,209,209,208,208,207,162,142,62,48,85,166,187,170,159,146,134,115,95,72,69,83,78,61,89,184,216,211,210,210,209,208,208,208,162,90,48,51,49,62,107,131,132,127,116,106,77,51,50,60,63,112,198,217,211,211,211,211,211,209,209,208
18,138,139,139,141,143,142,141,142,142,140,139,138,138,136,136,135,135,135,134,132,131,130,129,127,126,125,123,121,139,140,141,143,143,144,143,143,144,143,141,140,139,139,139,140,139,136,136,135,133,130,130,128,126,125,123,122,142,142,142,143,143,144,146,146,144,143,145,145,147,145,143,138,131,142,138,139,140,138,130,129,129,128,126,124,142,143,144,145,144,146,146,147,145,144,144,110,83,129,139,94,62,84,146,124,98,110,136,131,129,129,128,127,143,145,144,145,147,147,147,149,148,154,144,95,58,48,106,99,59,26,79,91,61,36,92,142,130,130,128,127,145,145,146,146,147,149,151,127,94,115,143,104,83,46,81,131,65,51,21,78,71,34,22,132,134,131,129,128,146,147,149,150,149,149,158,125,93,69,98,131,83,59,55,130,69,60,56,52,64,51,9,105,141,132,131,130,146,149,149,151,152,151,156,140,117,98,59,111,103,63,35,85,90,75,71,61,80,66,12,104,141,133,132,130,147,149,150,152,151,158,140,139,129,103,75,58,102,70,42,53,101,87,74,73,78,61,11,110,144,134,134,133,148,150,152,153,150,161,143,99,115,100,65,20,87,79,41,33,89,78,74,69,66,58,9,93,148,135,134,132,150,151,152,155,151,159,131,52,83,98,33,9,61,56,21,18,65,33,57,91,87,63,17,74,150,136,135,134,150,152,153,155,153,161,130,88,80,90,28,12,41,32,12,7,38,12,37,130,102,72,28,53,153,137,137,136,151,153,153,154,154,163,143,120,74,83,51,19,37,43,14,5,34,12,8,105,108,79,41,30,145,141,139,136,153,154,154,154,156,163,146,111,77,57,41,10,41,53,11,3,22,61,101,107,129,96,54,12,124,146,139,138,153,154,154,155,157,162,123,87,66,44,23,9,21,19,8,19,58,123,131,114,117,100,57,8,107,152,139,139,153,154,157,158,158,160,139,111,87,63,41,38,29,33,57,88,124,137,130,125,94,82,46,4,113,151,140,140,155,157,159,159,158,162,150,122,93,61,38,38,49,68,95,120,143,140,121,109,85,54,30,15,139,145,143,142,156,158,159,160,159,160,152,128,99,69,50,48,53,69,117,140,151,138,111,94,74,46,7,52,156,143,144,143,157,158,159,159,160,159,153,137,109,84,63,60,50,86,136,148,145,128,104,85,68,38,0,107,155,143,143,142,157,159,159,161,161,156,149,135,110,89,71,67,57,97,145,140,133,119,98,76,60,25,15,146,148,145,144,143,158,161,162,163,163,156,139,124,108,92,78,77,64,101,142,131,123,108,91,68,51,7,57,161,145,147,145,144,158,161,162,162,163,160,137,127,115,97,85,89,69,105,131,127,113,91,78,59,39,0,110,158,146,147,146,143,160,162,162,162,164,165,144,126,116,104,94,92,71,106,125,120,108,84,64,47,17,21,154,149,149,147,147,145,160,163,163,163,164,168,155,125,120,112,99,86,68,91,119,109,96,74,50,37,0,86,164,149,150,149,147,145,161,163,163,163,163,166,162,141,126,113,100,89,73,77,103,99,81,59,41,13,14,153,153,152,151,150,148,146,161,161,162,164,165,167,165,151,133,119,105,95,81,75,92,90,69,50,34,0,89,166,151,152,152,150,149,146,161,162,162,162,165,166,166,160,143,117,99,90,85,82,85,83,65,47,14,20,157,155,155,153,152,151,149,146,162,163,164,164,166,167,164,159,143,119,111,109,103,96,79,77,58,39,0,87,169,153,154,153,153,151,149,146
8,75,81,86,90,93,96,98,100,101,103,105,107,108,110,112,113,115,116,117,117,117,118,120,121,121,121,121,121,76,82,86,90,94,97,100,101,101,108,97,100,110,111,112,114,116,116,117,118,118,119,121,122,122,122,122,122,77,83,87,91,95,99,102,101,108,127,83,73,115,111,112,115,117,117,118,119,121,122,121,122,122,122,122,122,78,84,89,94,95,99,103,98,117,120,68,69,117,112,114,116,118,118,118,121,123,121,124,123,123,123,123,123,80,83,90,95,97,100,102,99,130,102,55,84,118,113,114,116,119,120,120,122,122,123,108,120,125,123,124,125,82,85,91,95,97,101,101,106,133,87,53,97,117,115,117,117,119,121,123,121,131,123,60,97,131,123,125,126,84,86,91,94,97,102,101,117,132,88,57,110,116,116,117,119,124,122,123,121,139,116,48,93,133,126,127,127,83,87,92,96,100,104,99,125,126,83,61,114,112,117,119,112,105,120,124,111,138,118,63,88,135,126,128,127,83,89,94,97,100,104,99,133,121,73,71,115,90,97,125,109,81,82,120,98,136,123,94,69,124,130,129,130,85,90,97,97,99,104,101,141,124,85,121,119,93,83,123,111,77,73,113,91,114,134,103,63,90,136,128,131,86,91,95,97,102,105,105,148,121,107,152,123,88,85,120,100,64,75,106,73,118,142,104,64,75,139,129,132,86,91,95,100,103,103,113,141,112,91,149,133,79,90,119,88,53,74,96,68,138,138,105,60,86,140,131,133,87,92,96,98,102,102,115,136,122,100,133,126,65,101,115,78,54,57,88,68,139,128,97,54,91,141,132,134,87,93,98,99,105,102,122,139,132,126,133,123,83,99,125,91,51,58,86,94,133,111,86,51,100,142,133,135,88,92,98,99,103,103,138,132,127,114,125,133,101,109,139,101,50,75,105,123,128,101,77,51,112,140,133,135,87,92,98,102,102,111,138,108,105,97,105,114,82,108,106,73,97,126,126,108,111,100,76,49,115,141,134,135,88,93,98,101,100,125,137,109,99,90,76,74,69,73,99,127,139,126,120,98,87,89,74,45,118,141,134,137,89,94,98,102,99,144,136,118,105,86,75,72,76,118,157,156,133,120,110,87,73,73,62,53,137,138,137,138,88,95,99,101,109,154,136,122,104,87,77,62,105,158,156,150,132,111,97,77,65,67,47,84,145,136,138,138,90,96,101,98,126,158,133,121,106,96,83,88,146,153,151,142,121,101,86,69,58,61,45,122,142,137,139,140,90,96,103,95,138,160,132,119,112,105,99,130,148,147,142,132,111,92,79,62,56,54,49,134,143,138,140,141,91,96,103,96,149,157,134,127,122,116,130,146,152,138,126,119,101,84,72,58,56,48,64,143,139,139,140,141,92,97,103,97,155,159,136,127,118,121,143,151,148,127,116,109,93,78,65,56,55,42,104,145,139,142,142,141,93,98,104,98,148,161,141,129,120,121,141,146,131,117,107,100,85,70,60,55,44,77,141,139,140,141,141,142,91,97,103,98,142,161,143,134,122,119,132,134,126,117,101,96,80,65,57,47,66,136,140,140,140,141,142,142,92,98,103,100,133,153,131,127,118,119,124,131,129,118,103,95,79,62,48,49,125,143,139,141,141,142,142,143,92,98,104,101,125,139,131,125,127,127,116,122,123,111,97,88,72,52,37,103,142,138,140,141,141,142,143,143,93,99,104,102,122,144,139,133,136,129,114,114,120,108,91,81,65,37,67,139,138,140,141,142,143,143,143,143
7,190,193,195,198,200,199,202,202,202,203,202,202,203,202,202,201,201,199,200,199,196,195,196,193,191,192,191,189,193,195,196,200,202,203,204,204,203,204,203,204,202,202,202,202,202,200,201,199,199,197,196,194,193,193,192,190,193,195,199,202,202,204,206,206,207,207,205,205,205,204,203,204,204,202,202,199,200,199,198,196,196,195,194,192,196,197,200,202,204,205,207,207,207,208,207,207,207,207,206,205,203,203,203,202,202,201,200,198,198,196,195,194,197,199,202,203,206,206,206,208,208,208,208,208,208,206,207,208,206,206,204,203,202,202,202,199,198,197,197,195,197,202,203,205,206,207,208,208,208,208,209,209,208,207,207,206,208,208,207,207,206,203,199,201,200,200,198,195,199,202,204,208,208,207,209,210,210,210,210,210,211,212,212,211,208,205,200,195,175,186,202,187,203,201,199,198,202,202,204,208,209,210,211,215,215,216,213,207,203,195,187,185,186,175,168,169,147,187,210,158,197,200,203,199,202,203,207,207,209,213,210,201,191,193,192,183,169,153,145,161,180,175,160,152,141,147,163,141,194,199,185,202,203,206,206,209,212,204,192,170,162,160,158,166,161,155,140,135,142,126,132,139,135,134,148,159,212,211,137,199,205,207,207,209,207,196,180,168,167,159,147,149,158,154,130,126,120,148,169,186,165,162,159,160,163,156,146,205,204,207,205,197,187,183,182,179,165,127,122,145,168,164,149,145,134,151,168,171,152,138,122,116,125,159,200,207,203,199,192,187,184,183,176,178,163,112,115,129,137,135,131,137,124,120,131,116,112,116,147,180,203,212,207,206,196,192,189,189,189,176,166,166,165,142,106,89,79,78,80,93,94,105,126,153,182,204,218,215,210,207,207,206,194,191,188,183,176,171,169,168,172,163,120,84,60,90,146,151,172,191,216,224,220,215,211,210,209,209,208,207,192,186,178,173,168,164,162,162,160,141,118,91,78,92,203,235,224,223,218,214,214,214,213,212,212,210,209,208,187,178,171,163,158,154,149,144,142,133,106,80,83,81,76,200,225,217,218,216,216,214,215,214,213,211,211,210,176,178,163,160,149,148,144,140,139,135,108,75,78,101,72,113,234,218,220,219,218,216,215,214,213,213,212,211,81,146,167,159,153,147,144,146,148,146,111,74,70,92,87,111,230,222,222,220,220,219,217,216,213,213,213,211,48,56,136,168,158,152,142,135,133,123,101,82,77,67,59,143,236,221,223,221,220,220,219,217,215,214,214,213,52,43,54,143,164,154,144,131,118,106,94,90,87,70,64,88,221,226,223,222,221,220,218,217,216,215,214,213,46,48,36,67,146,138,129,119,112,98,91,89,89,77,64,93,223,226,224,223,222,221,220,218,217,216,215,213,43,39,41,37,83,117,104,91,88,64,66,86,79,92,159,196,231,223,222,223,222,221,221,220,219,218,215,214,37,36,39,40,29,41,86,136,60,52,63,73,88,198,244,230,227,227,225,223,224,222,221,220,220,218,215,215,28,32,37,45,17,38,197,204,51,60,72,121,206,236,227,228,227,228,227,223,225,223,221,221,221,219,218,216,30,27,45,33,54,206,239,228,168,161,197,234,235,228,230,229,227,227,227,224,222,224,222,221,221,220,219,215,59,43,31,62,216,232,225,229,237,238,235,228,227,228,228,228,228,228,227,223,223,222,222,221,220,219,217,214,43,40,19,138,241,221,228,228,227,227,228,228,228,228,228,228,228,228,227,224,223,222,222,221,220,219,217,215
24,149,154,159,162,165,167,169,172,174,176,177,181,181,182,183,187,187,189,192,192,193,194,194,194,193,195,196,197,149,154,157,160,165,167,170,173,175,177,177,181,182,184,186,188,188,190,193,192,193,195,196,195,196,198,198,199,150,155,158,162,166,168,171,174,176,179,180,183,185,187,188,190,190,191,193,193,195,196,197,197,198,199,199,199,151,156,159,163,165,168,172,174,177,180,181,184,186,187,189,192,191,191,194,196,198,198,199,200,200,200,200,200,151,157,160,164,166,169,173,175,178,181,183,185,187,189,190,193,193,192,195,198,199,200,199,200,201,200,199,199,152,157,161,166,170,171,174,176,179,181,183,185,188,189,189,191,196,198,197,199,199,200,200,200,200,200,201,201,155,155,172,162,142,175,173,177,180,183,184,186,187,187,195,194,191,184,200,199,200,200,200,200,201,202,202,202,155,154,181,181,119,164,177,177,181,183,187,189,189,167,145,195,193,147,147,204,199,200,200,201,202,203,202,202,155,157,164,185,134,130,182,177,180,185,158,182,210,176,123,166,202,161,102,151,210,200,203,204,203,204,205,203,155,159,161,179,171,128,167,179,192,201,164,151,210,182,138,153,206,167,114,95,205,202,204,206,204,205,192,170,154,159,165,170,201,167,130,174,206,218,180,141,197,192,139,134,203,160,112,75,185,209,202,203,206,198,159,125,155,160,165,165,189,185,137,149,193,228,197,149,161,206,150,113,186,144,102,63,168,212,201,205,197,181,141,107,155,161,165,167,170,188,195,173,171,209,206,155,123,182,159,103,148,132,103,65,123,215,205,187,177,165,115,132,155,162,165,168,169,185,201,192,195,204,190,150,104,147,155,100,115,152,113,72,79,182,184,169,166,133,95,183,156,161,165,168,173,173,194,197,190,199,188,148,124,118,171,122,112,190,122,80,129,145,168,170,135,90,158,215,156,162,165,168,174,172,189,210,184,164,163,162,161,114,176,159,88,169,129,158,186,167,158,144,103,129,214,206,156,162,166,170,172,173,184,207,165,154,151,162,160,130,155,146,95,160,199,198,178,159,136,119,106,205,209,207,157,162,168,171,173,175,181,218,189,165,147,148,157,174,154,147,185,207,197,187,172,151,129,99,161,216,206,208,157,163,167,170,173,179,178,221,211,181,152,142,172,189,200,214,216,202,192,181,164,142,107,113,213,209,209,209,158,163,167,170,173,179,177,219,224,190,175,154,160,186,207,227,212,200,196,179,149,122,91,164,217,207,209,209,158,164,167,170,175,177,174,210,231,199,191,176,161,187,205,221,211,204,195,171,145,105,113,212,208,208,209,209,159,165,167,170,173,176,179,191,227,212,197,189,173,183,203,215,210,199,184,166,147,94,177,216,209,210,210,209,158,163,168,171,173,176,181,182,205,217,205,186,174,181,200,208,201,186,168,157,116,133,216,207,210,210,211,210,158,162,167,171,173,177,183,183,195,220,202,186,173,185,191,194,188,174,153,129,104,199,211,208,210,210,212,213,156,162,166,168,171,176,179,181,190,206,187,183,176,179,185,189,183,169,146,103,148,220,206,209,209,209,209,211,154,160,164,167,170,174,177,180,188,193,183,193,190,189,192,187,175,161,136,98,186,211,206,207,208,208,208,208,154,159,164,166,168,174,177,177,188,209,201,209,198,196,188,179,169,154,120,105,203,206,205,206,207,207,209,209,153,158,164,165,167,173,177,176,188,225,207,206,199,194,179,173,169,145,108,118,212,204,206,206,206,207,209,208
7,239,238,239,238,238,238,238,238,237,237,235,233,232,231,230,229,227,225,224,223,221,221,219,218,215,211,209,208,242,241,242,240,241,241,241,240,240,239,238,237,235,234,232,232,230,229,227,225,224,222,221,218,217,215,211,212,243,243,243,243,244,245,244,243,242,240,239,238,236,236,236,235,233,231,229,227,226,224,223,220,218,216,213,212,244,244,244,245,245,246,245,245,243,242,240,239,240,239,238,236,236,234,231,230,229,227,224,224,222,218,215,214,246,246,246,247,247,248,247,246,245,244,244,244,242,239,239,238,237,236,235,232,231,229,226,225,223,220,218,216,248,247,247,247,248,250,249,247,246,245,246,246,244,242,242,240,238,237,236,233,232,232,230,228,225,223,221,219,250,249,249,251,250,250,251,251,249,247,246,247,245,244,243,242,240,239,237,237,233,231,230,228,226,224,222,221,251,251,252,252,251,250,251,252,251,249,247,246,245,245,244,242,242,240,240,238,237,236,234,233,229,225,224,222,252,252,252,253,252,252,252,252,250,250,249,248,250,250,250,249,245,246,243,238,235,230,227,223,227,230,225,224,253,253,253,254,254,254,253,255,255,255,250,248,242,234,224,212,203,185,181,184,187,162,168,201,193,221,229,225,255,255,255,255,254,255,255,238,213,195,186,181,182,175,165,162,166,140,148,154,149,147,155,191,164,211,233,228,255,255,255,255,255,248,224,201,181,149,155,163,163,167,163,165,142,136,129,128,127,131,114,135,180,228,236,229,255,255,255,255,230,211,208,202,179,142,137,136,136,140,143,147,145,154,147,120,128,124,119,123,130,139,201,235,255,255,249,212,198,203,203,193,183,167,153,151,154,163,168,166,169,162,152,110,119,125,112,108,96,117,147,236,255,242,204,200,201,201,192,192,194,182,166,162,161,171,161,156,150,140,123,96,95,98,95,98,96,108,179,236,236,208,207,205,202,198,196,203,190,168,124,116,130,134,122,119,125,127,131,148,175,191,205,209,214,220,233,230,203,212,213,206,203,204,202,182,170,142,96,101,106,87,167,224,224,240,248,252,254,251,249,248,242,238,238,240,206,212,210,206,205,198,177,163,162,135,111,91,86,87,94,219,255,251,248,245,242,241,240,236,237,241,219,188,205,205,210,212,204,184,166,154,153,163,160,107,82,91,65,162,255,248,251,247,242,242,244,247,234,161,111,97,203,207,213,206,185,159,150,147,150,165,149,96,85,76,106,243,253,250,248,252,255,248,224,176,124,88,82,90,205,208,202,182,160,148,144,139,136,139,108,84,67,94,240,255,254,255,255,233,194,150,110,87,83,89,79,85,203,194,173,162,159,153,151,137,117,114,106,91,69,116,255,245,239,238,201,127,95,84,88,89,89,90,76,76,181,168,164,160,151,139,124,109,103,118,123,93,71,157,184,119,114,110,94,89,102,86,79,85,87,89,74,68,170,168,161,141,122,114,109,109,115,124,103,84,101,116,75,74,84,72,88,78,81,88,62,74,84,87,72,67,168,161,144,129,124,121,115,109,105,95,92,106,104,98,88,63,84,71,76,71,73,76,58,67,80,84,66,70,150,133,124,126,123,117,104,96,99,102,104,96,88,81,83,61,68,72,64,67,71,65,54,63,80,79,61,70,107,93,99,104,106,105,112,118,98,100,90,84,76,80,75,67,53,69,59,63,68,58,55,62,78,76,58,70,85,126,142,140,138,142,143,119,86,76,84,83,70,74,69,69,48,59,60,60,68,55,56,65,76,73,55,75
19,151,154,155,155,156,158,158,157,158,159,159,159,158,158,157,155,159,157,154,154,154,154,153,153,152,152,152,151,153,154,156,156,157,158,159,159,160,160,160,160,160,158,159,153,127,144,159,155,156,155,155,155,153,153,152,152,154,155,157,158,159,159,161,161,160,160,160,161,162,158,170,151,110,98,162,157,158,156,156,155,155,154,154,153,155,156,158,160,160,161,162,162,163,161,161,163,161,163,177,151,123,85,154,160,159,158,158,158,155,154,155,155,156,158,160,161,162,162,163,163,163,163,163,164,161,168,174,147,119,81,153,162,160,160,158,156,159,156,156,156,157,159,161,161,162,164,165,164,163,163,163,165,161,172,171,130,104,76,151,159,156,153,156,174,146,155,158,158,158,160,161,163,163,165,165,165,165,165,165,164,161,169,167,136,131,142,162,153,161,158,167,199,116,148,160,158,160,161,163,166,165,165,166,166,165,166,164,167,170,169,162,160,167,179,173,157,156,157,138,119,120,161,159,159,161,162,164,166,166,168,166,166,164,170,177,186,188,179,163,146,141,135,132,115,107,107,114,132,160,160,159,160,163,164,165,166,168,168,170,172,172,183,187,184,176,165,160,157,149,96,96,120,140,150,164,168,162,163,161,160,165,165,166,168,168,173,186,180,177,173,175,175,172,172,170,169,160,96,126,177,168,167,164,164,163,163,162,161,166,166,167,169,166,181,193,182,176,175,180,182,184,176,169,164,140,88,105,174,163,165,165,164,164,164,163,162,166,167,169,171,168,180,189,173,168,177,184,185,176,168,170,172,157,91,79,166,167,166,165,164,164,165,164,162,166,168,170,171,169,181,181,167,169,172,167,166,171,178,170,172,166,98,65,139,173,165,166,166,164,165,164,164,168,169,170,172,172,186,169,170,172,163,154,175,178,169,163,163,141,94,64,117,177,167,168,167,165,165,165,165,169,170,171,173,173,180,177,180,178,179,183,183,172,166,159,148,124,86,63,100,178,168,169,168,167,166,166,165,170,171,172,175,175,175,194,186,179,179,180,171,160,153,163,173,166,105,54,123,178,168,170,169,167,167,166,166,171,172,174,175,177,173,191,190,173,169,155,129,150,181,178,168,166,111,77,170,173,171,170,170,169,169,168,167,171,174,176,175,178,174,177,184,172,168,159,165,184,177,158,148,141,99,73,164,175,172,172,171,171,170,169,168,171,174,176,177,177,176,174,181,189,183,176,179,173,159,149,138,121,81,80,172,173,172,173,172,172,171,170,169,173,175,176,178,178,178,176,178,189,177,164,167,160,148,129,101,77,84,155,177,173,174,173,173,173,172,171,171,174,177,177,178,180,181,172,178,180,171,156,151,133,114,90,69,55,146,186,174,175,173,173,174,173,172,172,171,175,177,178,180,180,182,173,176,176,165,147,136,122,100,80,69,100,184,175,177,176,175,175,175,173,172,172,172,174,177,179,181,181,182,174,168,173,161,140,132,130,100,80,71,111,187,176,178,178,177,177,176,176,174,173,172,175,177,179,181,181,183,174,164,165,159,137,123,103,86,81,76,81,179,180,178,178,178,177,177,176,175,174,172,174,176,178,180,180,183,172,163,157,158,149,132,105,89,83,76,80,175,179,177,177,176,176,176,175,173,171,171,175,177,178,179,180,184,166,166,163,154,144,133,108,90,83,74,87,180,178,178,177,176,176,176,175,174,173,171,175,177,179,180,181,185,162,173,178,167,141,117,97,84,82,69,122,186,177,178,178,177,177,177,176,175,173,172
1,118,122,126,127,131,134,136,137,138,139,140,140,142,140,141,142,142,141,141,140,142,141,142,141,140,139,138,137,121,126,130,131,135,137,139,140,140,142,143,144,143,144,144,144,145,146,146,144,145,145,145,146,145,143,142,141,124,130,133,135,138,141,143,144,144,145,146,147,147,146,151,151,147,151,150,148,149,150,150,150,148,147,146,145,128,132,137,139,143,144,147,147,148,150,150,150,152,155,129,138,155,151,152,151,152,152,153,152,151,151,149,147,132,135,139,143,147,149,150,151,152,153,151,155,144,165,119,87,173,157,152,153,154,155,155,155,152,152,152,150,134,138,143,148,149,152,154,153,153,155,152,173,136,121,134,61,121,136,160,155,158,158,158,157,156,155,153,153,137,143,147,150,152,154,156,156,156,158,155,179,136,114,148,53,103,75,163,160,161,161,162,161,159,159,157,155,142,146,149,153,155,158,159,161,161,162,154,183,147,108,169,76,116,74,138,169,162,163,164,163,162,161,160,159,146,149,151,155,158,160,162,163,162,170,138,132,173,94,168,91,114,98,110,176,164,166,165,164,165,163,162,161,148,152,155,159,161,162,163,167,164,179,135,95,180,88,151,110,129,149,89,171,169,170,169,169,167,166,165,162,149,153,156,160,162,163,166,169,165,184,142,102,176,94,154,133,108,167,89,152,176,170,171,171,170,168,167,166,151,155,158,161,164,166,169,169,167,191,144,110,199,114,143,152,88,171,110,122,184,172,173,172,171,171,169,169,153,158,161,162,166,168,170,173,170,187,141,101,192,94,98,152,71,177,138,99,184,174,175,175,173,174,172,170,154,160,162,165,168,169,171,175,171,188,160,80,156,107,100,139,99,153,130,88,172,179,178,177,175,175,174,172,155,159,164,166,169,172,174,176,174,193,147,79,125,180,129,127,168,131,102,78,149,187,177,178,178,177,177,175,155,160,165,167,170,174,176,176,176,187,155,150,104,142,148,177,168,118,102,80,102,192,177,180,181,179,178,178,157,161,167,170,172,174,177,176,181,184,158,150,101,120,188,186,163,174,124,78,64,182,183,182,183,180,179,179,158,162,166,171,174,176,176,176,184,193,142,119,129,161,156,120,116,206,189,136,55,159,189,182,185,184,183,181,157,162,167,171,173,177,177,177,185,209,146,111,112,102,89,96,149,186,185,146,89,128,196,183,185,184,184,182,159,161,166,170,171,174,176,176,182,218,169,107,121,121,149,188,203,174,161,123,67,110,198,183,185,184,184,185,160,162,166,170,172,174,177,177,179,212,198,117,142,133,184,208,202,183,149,115,44,111,199,183,185,184,184,185,159,163,167,170,173,176,177,178,179,209,214,137,157,137,174,214,212,185,136,101,42,120,200,184,186,186,184,184,159,162,166,169,172,176,177,180,178,199,213,162,175,149,155,219,211,170,127,86,43,151,197,186,187,186,185,184,163,167,172,173,174,178,180,180,179,187,208,188,176,162,136,212,202,160,120,74,45,173,192,188,187,187,187,186,143,148,154,161,165,171,173,175,180,177,203,208,179,157,122,188,193,147,106,64,64,197,198,200,194,187,186,188,60,62,64,70,76,77,80,84,89,85,181,199,165,147,118,155,171,130,91,64,75,152,148,148,169,196,191,184,62,62,61,61,62,63,63,62,65,51,155,187,157,143,115,133,159,125,82,65,59,54,83,142,177,174,186,182,63,67,75,73,71,70,67,68,71,59,151,186,161,136,121,132,156,118,64,57,84,151,200,202,173,142,141,179
12,178,180,180,180,180,181,181,181,182,183,182,182,182,182,182,181,181,182,182,182,182,182,181,180,179,178,177,176,182,182,182,183,182,182,184,183,184,185,184,185,185,185,185,183,183,183,185,184,183,184,183,182,182,181,180,178,183,184,184,185,185,185,188,185,187,186,187,189,188,186,188,186,185,186,187,187,186,186,185,185,184,181,181,180,185,186,187,188,186,189,189,187,189,189,193,191,188,191,192,189,187,188,188,189,188,187,186,186,184,183,183,182,188,189,190,191,189,190,191,191,190,188,182,190,198,179,183,194,190,192,189,191,190,190,190,189,187,187,187,185,190,191,192,192,192,192,194,190,206,210,169,133,204,188,136,163,200,193,197,192,192,193,193,191,191,189,190,188,193,193,193,193,194,194,197,191,236,239,203,117,154,231,160,117,195,172,172,197,194,194,196,194,193,191,191,191,193,193,195,197,197,196,197,196,235,244,218,148,111,222,192,136,111,157,111,152,207,195,197,194,196,194,194,192,195,197,199,199,198,200,197,203,233,223,229,180,105,174,203,150,80,109,116,81,199,200,197,197,198,196,195,195,197,199,201,200,200,197,205,191,213,197,215,205,152,101,160,126,60,48,92,73,187,204,201,200,200,199,198,197,198,200,202,203,195,214,237,156,127,152,170,170,113,64,89,94,66,152,103,75,199,203,203,202,200,200,200,199,199,202,203,200,224,249,212,143,105,131,105,140,131,102,142,179,178,164,84,88,210,204,206,204,202,201,200,201,201,203,201,213,242,215,204,162,117,73,76,81,133,149,169,218,233,196,108,114,223,204,207,207,205,205,203,202,201,205,200,234,216,188,215,182,127,72,77,79,66,77,121,215,235,236,183,117,170,216,206,207,205,205,205,204,202,201,211,233,207,165,211,185,157,91,69,89,95,103,167,207,210,198,178,158,100,194,212,207,208,206,206,206,204,201,222,243,210,161,145,211,198,117,70,93,117,183,222,206,205,162,148,169,97,170,220,207,209,208,208,207,207,205,216,248,230,196,137,154,184,191,107,94,209,227,209,203,190,157,124,120,88,198,214,209,210,208,208,208,207,204,215,251,241,208,169,155,140,149,136,200,248,223,207,195,172,146,110,76,117,222,212,213,211,210,209,208,207,205,214,242,243,226,189,180,162,121,186,244,234,229,189,172,148,138,97,63,171,222,213,214,211,211,211,210,208,208,210,234,240,239,214,192,174,160,169,234,228,215,175,143,138,130,81,92,216,215,214,214,213,213,212,211,206,208,200,222,248,242,221,200,179,175,166,226,217,189,160,122,144,120,61,145,228,214,214,214,214,214,213,214,204,208,202,196,244,231,208,197,184,180,176,202,199,160,137,133,140,98,67,200,220,215,214,214,214,214,214,214,207,208,209,194,235,215,196,189,187,180,175,183,178,160,133,133,123,69,117,225,213,215,214,214,214,214,212,211,208,208,209,203,231,217,204,205,198,182,169,179,188,163,118,108,92,76,199,220,215,214,215,215,214,214,212,211,209,208,209,202,232,224,213,213,197,191,165,182,191,135,98,94,67,162,226,215,217,216,215,215,215,214,214,213,208,209,211,201,233,231,219,222,200,202,161,176,173,121,95,69,114,227,217,218,217,216,217,217,216,215,215,214,207,208,212,199,223,242,226,227,207,201,158,158,161,123,88,64,192,225,216,217,216,217,218,217,216,215,215,215,204,206,210,200,219,244,221,215,203,194,151,142,159,119,68,95,225,217,218,218,218,218,217,216,216,215,217,216
20,187,190,192,194,196,198,198,199,200,200,200,200,199,199,198,197,196,196,194,195,193,190,190,187,187,185,185,184,188,191,194,194,197,200,200,201,202,203,202,203,201,200,201,198,197,196,195,182,192,192,191,189,189,188,188,187,189,191,194,197,198,200,201,203,203,204,205,204,202,201,202,201,198,197,209,138,148,207,192,191,191,190,189,189,190,193,195,197,199,201,203,204,205,205,206,203,204,204,203,203,199,202,210,129,131,180,190,195,192,191,190,189,192,193,195,198,200,202,204,205,207,207,205,205,205,205,204,203,200,210,197,125,100,128,144,202,192,192,190,191,192,196,198,200,201,203,205,206,208,209,207,207,206,206,205,207,201,219,193,113,122,153,126,202,194,194,192,192,194,197,198,201,202,205,207,208,210,210,210,209,208,207,207,207,204,221,186,113,165,157,124,202,196,195,194,193,195,198,200,203,204,206,208,210,212,212,211,211,209,210,208,206,207,219,173,116,190,162,129,202,198,197,196,195,196,199,202,204,206,208,210,211,212,214,213,214,213,211,214,212,211,215,156,129,201,154,138,206,199,198,197,195,197,200,203,205,207,208,210,212,214,214,213,215,215,208,169,180,229,213,147,154,206,140,141,211,199,200,199,197,199,202,204,206,208,210,212,213,215,216,214,213,211,214,166,118,195,207,134,175,214,135,149,212,202,203,200,199,199,202,205,207,209,212,215,215,216,217,214,221,218,212,207,165,137,132,105,174,200,126,164,213,204,204,202,201,200,203,208,211,211,212,214,215,218,218,217,230,228,219,232,213,156,102,76,142,166,120,177,213,206,204,204,203,203,206,208,212,213,215,217,219,220,217,225,213,167,203,204,208,159,111,95,115,125,109,191,212,206,204,204,203,203,207,209,211,215,215,217,220,220,217,233,203,137,185,180,201,186,132,101,96,106,106,201,211,207,206,206,203,204,207,210,212,215,217,219,220,220,219,237,215,172,145,118,178,206,150,108,93,95,113,209,212,209,207,207,206,206,208,210,212,214,218,220,221,221,223,224,179,150,128,84,127,222,168,126,101,90,124,217,210,210,208,207,206,206,208,210,213,214,218,221,223,221,231,221,177,165,143,111,187,225,177,152,114,89,139,222,210,212,211,208,206,206,209,212,214,216,218,221,223,221,236,215,191,164,137,190,247,207,172,162,121,95,148,224,211,212,211,209,207,207,210,212,214,217,220,222,223,225,243,227,186,151,172,252,219,185,159,152,123,103,166,223,212,213,212,210,208,208,210,213,215,218,221,224,224,231,255,219,169,163,211,254,208,178,144,133,122,109,191,221,214,214,213,210,208,208,211,214,217,219,221,224,223,235,252,190,190,166,228,243,205,176,146,117,116,120,211,219,216,214,214,212,210,205,208,213,215,218,220,222,221,236,237,211,207,163,240,230,193,164,143,119,111,142,221,216,216,214,213,211,210,205,208,211,214,218,220,222,222,229,237,239,192,187,242,207,175,150,130,121,109,173,223,216,214,214,213,211,209,206,209,213,215,219,220,222,221,225,237,230,191,176,215,193,159,137,121,115,117,203,222,217,215,214,213,211,210,205,210,214,216,219,220,223,222,226,227,203,184,171,189,185,156,140,124,105,143,222,219,218,216,214,214,212,211,205,210,213,215,218,221,223,223,225,213,196,187,188,187,194,176,136,119,101,173,226,218,218,216,215,214,213,211,205,209,212,215,218,221,223,224,224,226,218,217,208,190,186,175,130,112,106,196,224,216,216,215,215,213,213,211
13,140,143,149,155,161,165,168,171,173,176,180,182,184,187,188,190,192,192,193,193,194,194,194,194,195,194,193,193,142,145,151,157,163,167,171,173,175,177,181,184,187,189,191,192,192,192,193,195,195,196,196,196,197,196,195,195,143,147,153,160,164,169,172,175,178,180,184,187,188,190,194,204,204,169,157,190,192,197,197,199,199,197,196,196,146,149,155,162,167,171,174,178,181,183,186,189,191,193,197,224,213,161,114,115,143,160,194,199,199,198,199,198,146,151,156,162,168,172,175,179,182,186,187,192,194,162,161,172,209,159,106,88,142,118,136,202,200,200,200,199,148,152,158,163,169,172,175,180,183,186,186,216,210,175,137,133,192,190,127,95,148,112,110,203,202,201,201,200,150,154,159,165,171,175,178,181,187,188,148,182,225,204,160,101,138,201,135,94,160,117,125,205,204,203,202,202,150,154,160,167,173,177,180,183,212,202,151,112,191,219,179,114,74,152,128,92,182,125,153,206,205,205,205,204,151,156,163,169,174,178,181,206,211,217,180,124,114,215,175,115,51,67,79,85,173,123,186,207,206,206,206,206,152,158,165,171,175,180,194,206,178,214,195,134,74,191,163,108,51,54,88,121,137,105,150,208,208,208,208,207,153,160,168,173,177,182,218,204,164,188,172,120,68,162,157,116,53,81,139,151,132,116,109,197,209,209,209,208,156,162,171,176,179,193,217,188,153,170,148,105,54,134,176,130,74,157,180,158,122,102,107,150,211,210,209,209,158,165,174,179,182,210,212,185,150,143,132,102,46,98,179,126,129,197,182,154,120,100,99,131,214,213,211,212,159,167,176,181,183,216,223,197,163,122,126,97,56,91,184,164,196,194,171,140,115,94,83,167,213,213,215,214,162,171,180,185,186,224,227,204,171,127,107,104,135,179,213,214,208,184,157,129,108,87,94,206,214,215,216,216,167,175,183,189,191,232,235,211,174,153,150,153,176,201,214,212,200,173,145,122,98,78,139,216,216,216,216,216,169,178,186,192,195,234,233,222,185,175,170,156,196,198,215,206,187,162,138,114,89,71,180,217,217,218,217,216,173,182,189,195,199,227,232,229,200,188,176,165,202,205,205,193,170,147,124,104,81,98,215,221,220,220,219,218,176,184,193,198,202,215,232,229,210,193,177,172,195,208,193,175,152,134,117,94,81,184,223,222,222,221,222,221,179,187,196,201,204,206,227,222,216,199,185,177,184,201,186,161,140,121,109,87,166,224,225,224,224,224,224,223,182,189,197,202,207,205,221,223,217,210,201,183,177,193,178,149,125,112,97,136,224,227,227,228,227,225,225,224,183,193,201,206,209,206,214,224,216,212,204,181,172,180,165,135,110,105,103,210,229,230,229,230,228,225,202,152,186,196,203,208,211,210,212,215,192,193,191,177,166,170,150,130,106,92,168,230,232,232,232,231,224,155,80,56,188,197,204,209,212,213,213,218,190,200,202,191,167,162,144,132,105,93,211,232,234,234,234,224,144,72,51,37,189,197,204,208,212,213,208,230,202,211,210,194,167,153,143,133,105,102,224,234,236,233,192,120,67,58,59,29,189,198,206,210,213,216,207,234,219,227,217,197,172,153,143,133,102,108,230,234,236,171,83,53,36,56,64,40,192,201,208,212,215,220,191,231,226,227,213,192,173,155,144,131,98,102,229,236,210,99,65,57,33,37,57,52,193,202,209,213,216,219,123,219,223,220,206,187,175,157,147,122,96,72,228,234,129,78,58,56,39,21,46,57
8,195,198,201,203,206,203,206,207,207,206,207,208,208,207,205,206,203,203,202,201,200,199,198,198,196,196,195,193,198,200,204,198,188,209,208,208,207,207,207,209,209,208,207,207,206,205,203,202,202,201,201,200,199,197,196,195,200,199,211,199,138,199,212,210,208,209,209,210,210,209,209,208,207,206,206,205,204,203,203,201,201,199,198,197,201,201,214,213,127,175,219,211,213,212,211,211,210,210,210,209,208,207,207,206,205,205,204,202,201,200,198,198,201,203,211,227,132,159,223,212,215,212,212,211,212,211,211,209,208,209,209,207,206,205,205,204,203,202,201,201,202,206,209,219,138,146,225,214,217,217,219,213,215,217,215,212,210,211,210,208,208,206,207,206,205,204,202,201,205,209,209,226,176,133,220,218,214,201,201,219,211,192,203,219,217,214,210,211,209,208,208,208,207,206,205,202,206,209,207,229,194,119,205,220,232,209,159,194,230,169,141,204,198,211,216,210,212,211,209,210,209,207,205,204,207,211,210,224,202,140,170,227,248,244,187,136,224,190,184,142,142,143,211,217,212,214,211,211,211,207,206,204,210,213,212,222,230,176,156,215,241,251,215,129,179,196,202,184,168,150,164,211,214,214,213,214,212,209,207,207,212,214,214,217,234,173,168,203,208,239,220,139,142,186,163,214,216,219,182,133,211,215,213,213,212,210,207,206,212,215,217,218,231,213,189,219,205,209,223,140,116,164,110,184,203,218,192,117,198,220,213,214,214,213,210,208,213,216,219,218,242,239,179,181,202,181,221,175,113,140,110,144,200,224,195,119,197,222,214,214,215,215,213,209,215,217,220,218,239,213,159,159,169,151,200,220,134,114,102,155,223,237,200,118,198,223,215,217,216,216,215,211,216,219,221,218,238,237,190,158,149,143,160,175,139,124,96,170,229,237,197,118,199,225,217,218,218,217,216,212,216,219,222,219,244,245,206,167,145,145,140,191,190,142,163,208,223,226,178,109,187,229,218,219,219,218,216,213,217,220,222,220,248,242,211,184,147,128,156,212,211,214,224,215,197,188,151,102,175,231,219,220,219,219,217,214,215,220,224,222,252,242,216,198,170,132,150,205,239,246,234,208,175,151,130,102,206,227,222,220,219,219,217,214,217,221,224,224,253,243,221,201,184,149,147,216,252,245,228,199,158,129,98,145,234,222,223,222,220,219,216,216,220,222,226,225,248,247,229,209,195,162,161,231,248,233,203,178,140,108,101,216,227,224,224,222,222,221,218,217,221,222,228,226,242,250,233,215,206,171,166,236,234,209,180,153,127,88,166,238,224,225,225,223,223,222,220,219,220,223,226,227,238,251,238,219,203,170,170,223,219,197,170,139,109,108,225,227,227,226,224,223,223,222,221,218,219,222,224,225,238,255,236,214,188,153,176,208,189,181,163,132,86,180,237,223,225,226,224,222,222,221,220,218,221,224,228,222,242,251,226,204,174,163,181,193,169,160,157,101,123,234,226,227,227,227,224,223,223,220,218,217,221,224,228,220,254,247,227,208,185,179,185,180,160,152,129,102,211,233,227,227,227,227,224,224,220,219,226,223,221,223,223,231,255,241,229,212,188,190,182,158,151,137,97,176,238,227,228,227,226,226,224,227,231,227,187,130,221,226,216,239,248,220,212,200,185,186,171,141,140,108,129,233,230,230,228,228,231,233,230,209,170,119,72,58,222,225,212,247,242,206,185,176,174,186,164,123,134,92,191,238,230,230,228,220,202,185,145,94,57,44,50,55
18,190,192,194,196,198,200,200,200,202,202,203,203,203,201,201,202,200,200,199,198,199,198,197,197,195,194,194,192,192,194,196,197,199,201,202,202,205,204,205,206,206,205,203,204,203,202,200,201,202,201,199,197,198,197,196,196,197,197,199,200,203,203,204,205,204,205,206,206,206,205,205,205,205,204,203,203,203,201,202,200,200,199,197,197,197,199,201,203,205,205,206,206,207,207,206,207,207,207,207,207,206,207,205,205,204,204,206,201,201,199,198,198,198,199,202,204,206,206,206,206,207,208,207,209,209,208,209,209,207,207,208,206,205,202,198,204,202,202,201,200,199,200,204,206,206,207,208,208,209,210,209,210,211,210,211,210,209,207,208,203,229,185,146,212,203,204,203,202,202,205,205,207,207,208,211,212,211,212,212,212,211,212,211,211,215,214,208,212,249,186,99,200,208,205,204,203,203,206,207,207,209,211,213,214,214,214,213,214,214,212,217,196,163,190,179,168,247,211,110,148,220,204,207,206,204,206,208,210,211,214,214,215,215,216,216,216,215,216,235,218,162,134,146,168,247,223,149,88,185,216,204,207,205,207,210,213,213,214,215,217,218,219,219,216,221,205,160,191,203,153,116,147,222,222,167,128,111,193,213,206,207,208,211,213,214,215,216,219,219,219,217,230,228,200,156,101,177,170,119,93,132,193,180,151,118,110,217,209,208,211,212,215,216,217,219,220,221,216,239,250,245,207,176,122,119,170,115,81,71,143,204,154,131,89,205,214,210,212,213,215,218,219,219,221,220,224,247,226,254,213,180,136,86,116,100,76,58,169,215,179,137,96,208,213,212,213,215,217,220,221,221,224,219,251,249,202,230,201,188,134,86,87,91,77,58,142,212,194,141,90,204,216,213,214,216,219,221,221,223,221,238,248,229,208,218,170,147,113,83,107,83,60,60,144,203,197,145,89,205,218,214,216,219,220,221,223,221,227,255,236,195,169,202,123,108,97,99,128,79,101,126,161,204,183,135,86,204,222,215,218,218,220,222,224,223,229,255,249,219,168,144,139,131,57,98,136,167,198,201,159,164,158,133,81,193,223,216,218,220,222,225,227,224,238,255,252,232,181,132,148,121,32,153,228,228,203,186,169,123,140,135,82,179,228,217,220,221,224,226,230,224,252,255,250,210,172,158,145,103,124,250,237,223,198,161,162,129,118,127,77,192,230,220,222,223,224,227,228,228,255,255,239,195,184,156,121,127,228,240,229,211,191,162,148,135,109,98,103,225,221,219,221,222,226,228,227,233,255,255,233,198,192,155,125,193,246,233,220,205,187,158,140,128,107,75,173,233,219,221,221,223,225,227,228,236,255,255,234,204,210,151,174,207,235,229,209,201,182,143,132,118,91,90,224,225,224,222,222,224,227,229,229,237,255,251,233,220,203,158,160,207,212,218,197,189,165,135,120,110,70,152,239,223,226,222,223,225,228,230,228,236,255,249,237,227,184,147,144,192,199,197,190,177,152,127,110,88,85,222,229,227,227,222,224,226,228,230,229,241,250,245,242,210,158,127,161,176,193,188,176,162,135,113,96,61,173,239,226,229,228,224,226,228,226,230,230,246,243,231,223,188,155,150,171,178,187,183,164,147,122,102,65,131,238,226,228,230,228,224,226,229,230,231,230,254,253,251,234,221,202,181,162,177,187,172,146,126,111,73,107,234,230,230,230,230,229,222,228,223,213,232,235,255,253,252,238,218,198,180,151,164,180,155,130,117,90,86,217,236,231,230,230,230,230
8,172,172,173,177,179,179,178,177,176,175,175,173,173,173,172,170,169,168,167,165,164,163,163,161,159,156,154,153,176,176,177,179,180,179,179,180,179,177,177,176,178,173,172,171,170,170,170,167,166,166,165,162,160,157,155,155,179,179,179,181,181,180,180,180,181,180,179,171,163,176,174,174,173,174,172,169,167,166,165,164,162,159,158,157,179,180,182,183,184,184,183,181,181,179,184,167,97,166,181,176,176,175,173,170,169,169,168,166,164,162,160,158,181,181,183,185,185,184,184,184,184,179,193,149,66,158,184,179,179,175,174,173,172,172,170,169,168,165,161,159,182,184,185,186,188,186,186,187,186,183,199,118,65,177,182,180,179,176,176,175,174,173,172,171,169,165,164,162,184,186,187,189,191,190,189,190,186,193,203,107,81,190,180,182,180,180,178,176,175,175,173,171,170,167,165,164,186,188,188,188,190,191,191,191,184,204,196,96,100,194,181,186,186,178,179,178,176,175,173,173,171,169,167,165,187,189,190,189,191,191,192,191,186,208,179,77,115,197,187,156,156,191,181,177,176,175,174,174,172,169,168,165,188,190,191,192,193,192,193,194,188,216,175,114,136,193,199,160,102,145,177,187,179,176,175,175,174,170,169,167,191,192,192,193,193,194,195,195,192,218,176,149,150,187,189,195,150,102,106,122,183,184,184,179,175,173,171,169,192,193,193,195,196,197,197,196,195,211,185,161,168,208,160,203,183,171,147,62,81,127,117,176,178,173,173,171,193,195,195,195,197,198,199,193,208,205,163,174,191,194,152,136,180,165,147,87,16,29,24,83,189,173,174,172,193,196,197,197,198,199,199,198,207,178,160,165,177,177,136,67,104,192,149,100,26,12,25,29,173,179,176,173,195,197,199,199,200,201,197,211,204,152,135,138,167,160,100,45,22,205,167,109,30,31,38,36,179,179,176,175,197,199,199,200,201,202,199,229,214,173,124,87,156,138,74,41,55,202,180,113,33,19,9,108,193,177,178,175,198,200,201,202,204,199,213,238,206,169,134,97,144,175,150,178,183,167,161,110,50,0,57,188,181,180,179,176,199,202,204,202,205,200,227,229,190,174,140,122,92,193,215,180,185,145,120,110,54,33,178,191,183,183,181,180,200,203,204,205,205,206,236,217,191,177,123,103,159,212,196,152,171,150,87,104,32,113,205,185,187,185,182,179,201,204,205,206,203,213,239,213,194,171,121,155,217,205,184,150,145,142,69,70,16,162,198,188,189,185,183,181,203,204,206,205,209,218,236,217,196,167,142,195,208,195,170,136,126,119,64,28,48,202,191,190,189,186,185,184,205,206,207,211,181,218,234,216,186,162,146,184,185,170,153,120,122,87,44,1,121,207,191,191,190,189,186,183,204,204,214,189,41,95,200,194,159,142,149,155,174,155,133,113,94,52,16,19,190,196,195,192,190,188,187,184,206,206,214,82,33,23,56,154,169,154,148,147,174,146,115,86,47,29,0,115,208,193,196,192,191,189,188,186,202,222,143,27,33,32,23,32,108,147,135,144,159,114,77,52,36,1,57,207,196,198,196,192,191,190,188,187,216,189,49,31,28,23,29,5,0,27,45,96,124,73,36,30,0,36,193,204,199,199,196,195,192,191,189,188,210,87,23,31,24,18,21,26,0,0,0,0,10,19,11,0,66,194,205,198,198,198,196,194,191,189,189,187,121,22,30,26,21,12,17,23,0,0,0,0,0,0,0,41,216,201,199,198,196,198,196,192,191,188,186,184
7,110,118,125,130,132,134,139,144,147,150,152,154,156,158,159,161,162,163,164,164,164,165,165,165,165,166,166,164,110,118,126,131,134,135,140,145,148,150,153,154,158,160,160,162,163,164,165,166,166,166,166,167,167,167,166,165,110,119,127,133,136,137,141,145,149,151,153,155,159,160,161,162,164,165,166,168,167,168,167,167,167,168,167,166,110,118,126,133,136,138,142,146,150,153,154,157,159,160,162,164,165,165,167,168,167,168,169,169,169,169,168,168,111,119,127,133,137,138,143,146,149,153,156,158,159,162,163,165,165,166,167,168,170,169,169,170,170,169,168,169,112,120,127,134,136,138,143,147,150,154,157,158,159,161,164,166,167,167,168,169,170,170,170,170,170,170,170,169,112,120,128,134,136,139,143,147,152,154,157,159,161,163,165,167,168,169,169,170,170,170,171,170,170,170,170,170,112,120,129,135,136,140,144,148,151,154,157,158,160,162,165,167,169,170,170,172,174,173,173,172,171,171,171,171,113,121,129,136,138,138,141,155,162,159,161,166,167,169,168,162,160,166,163,164,163,163,170,174,172,172,173,172,113,122,131,135,136,148,169,181,177,166,161,173,180,181,178,165,164,177,167,158,152,140,158,159,171,174,174,172,115,122,127,142,166,181,182,178,175,161,147,153,161,166,165,151,151,165,160,151,144,138,149,135,170,178,174,173,110,127,158,180,184,178,178,182,175,155,146,159,172,174,179,163,155,163,156,165,162,150,144,151,156,160,172,175,147,177,187,180,183,180,180,182,171,146,134,138,162,167,167,164,165,160,163,170,170,163,158,161,149,161,151,164,187,185,185,184,188,182,182,185,181,135,112,116,115,108,116,129,130,135,137,138,140,142,141,143,138,146,141,166,188,190,188,185,185,183,184,192,169,123,105,109,109,91,78,84,143,159,161,162,160,158,156,156,156,157,167,175,190,188,185,182,183,183,185,183,148,110,108,113,112,107,97,80,160,179,176,178,178,178,179,179,178,180,177,175,184,184,185,184,186,185,187,184,144,102,93,100,115,127,115,90,132,180,173,175,176,176,176,176,175,176,175,176,184,189,188,187,189,189,194,182,136,101,97,73,78,113,114,99,134,179,175,177,177,178,177,176,176,177,176,175,186,183,182,178,172,171,176,148,123,105,102,98,84,103,121,134,166,174,174,175,175,176,175,175,175,174,174,173,173,173,168,160,151,156,153,128,116,111,107,97,97,106,117,121,120,119,119,120,121,119,117,117,117,115,114,113,158,158,152,147,142,140,134,113,108,104,110,105,103,103,103,101,100,100,98,99,100,100,100,101,101,99,97,95,126,135,134,128,117,111,108,108,108,106,108,109,109,109,110,109,107,111,111,108,108,106,105,106,105,104,102,102,109,111,106,102,104,107,109,108,107,108,107,107,107,108,107,107,105,110,110,109,110,106,104,103,103,104,103,103,94,89,94,106,108,109,110,108,108,108,109,108,108,107,107,107,107,106,105,106,108,105,104,103,103,102,103,99,102,94,97,107,109,110,109,109,110,110,110,110,109,108,109,109,109,107,106,107,106,106,106,103,103,105,99,113,114,102,98,104,109,109,109,109,109,109,110,110,108,108,109,108,108,108,107,106,105,105,105,104,105,101,107,176,104,99,99,100,108,109,109,109,109,110,110,110,109,109,108,108,108,108,107,107,107,105,104,105,103,100,169,176,107,102,98,95,107,109,109,109,109,109,108,109,108,108,108,107,108,107,107,107,106,105,105,104,112,154,164,149
17,147,149,151,153,155,156,157,158,159,159,161,161,163,164,166,166,167,168,168,168,169,170,170,169,170,171,171,171,148,150,152,154,155,156,157,159,160,161,162,163,164,165,167,168,169,170,170,170,170,171,170,170,171,171,172,171,148,150,152,155,156,157,158,159,162,162,164,165,165,166,168,169,170,170,170,171,169,172,172,172,172,172,173,173,148,150,153,156,158,158,159,161,162,163,164,167,168,168,169,171,171,165,146,152,135,150,175,174,174,173,173,173,150,151,153,156,158,159,161,162,164,165,166,167,168,170,171,172,174,173,139,108,104,126,176,175,175,174,174,174,150,152,155,157,159,161,162,163,165,167,168,169,169,170,172,172,173,187,153,106,84,131,177,175,176,176,175,174,151,154,156,158,159,162,163,164,166,167,167,169,170,171,172,173,173,189,164,121,80,141,179,177,177,176,175,175,152,154,156,158,161,163,164,165,166,167,169,170,171,172,173,174,174,190,175,135,94,159,178,177,177,177,176,175,153,156,157,159,160,163,164,166,167,168,169,171,162,154,173,176,175,193,176,140,110,171,179,178,177,178,178,177,154,156,158,160,162,164,165,167,169,169,170,174,163,131,142,174,179,195,172,138,113,173,179,179,179,179,179,178,154,157,159,160,162,164,166,167,168,165,165,178,169,149,131,146,162,185,171,138,112,172,180,180,180,180,180,179,156,158,159,161,163,165,165,172,177,154,130,160,180,178,174,144,110,138,158,139,113,170,181,181,181,181,179,179,155,157,159,163,165,166,165,181,183,153,123,154,163,181,188,164,119,101,133,128,109,167,182,181,182,181,180,180,156,158,161,164,165,166,168,180,159,164,144,138,128,134,189,182,143,97,106,112,102,164,183,183,182,181,180,181,156,159,161,164,165,166,171,183,147,135,128,98,89,87,181,195,163,109,91,97,95,161,184,183,183,182,182,181,157,159,162,164,166,167,176,175,142,124,126,104,99,102,167,205,175,128,91,94,92,155,184,182,183,183,183,182,157,159,162,165,167,167,181,180,161,144,136,118,124,131,156,209,179,141,99,92,93,149,185,183,183,184,184,183,157,159,162,165,167,168,188,174,149,140,134,127,142,154,180,195,176,149,107,87,88,148,186,185,185,184,184,183,158,159,162,166,169,172,189,163,143,134,132,139,147,187,207,182,164,146,106,83,81,148,186,185,186,184,184,184,158,160,163,166,168,176,193,166,149,136,135,144,165,209,204,182,157,137,103,81,81,155,186,184,185,184,184,184,158,161,165,167,168,180,197,171,155,138,137,150,190,208,194,177,149,131,100,82,87,170,185,184,185,185,184,184,159,162,165,167,167,185,198,175,162,146,138,165,206,204,190,170,140,126,96,81,107,183,185,185,185,185,185,184,160,163,167,168,167,190,200,178,169,160,143,174,208,196,185,169,136,116,93,79,140,187,186,186,185,185,184,183,161,164,167,169,167,191,205,182,177,171,154,173,201,187,179,166,136,107,90,91,171,187,186,186,185,185,185,184,162,165,167,168,168,186,207,188,181,174,163,166,194,182,178,161,133,103,85,119,187,186,186,185,185,185,185,185,160,164,166,169,169,179,206,192,179,170,167,166,183,176,178,165,129,101,83,137,189,185,186,185,185,186,186,185,161,164,166,168,171,176,202,189,177,166,164,168,176,169,179,167,129,100,86,155,189,186,186,186,186,186,186,186,162,164,167,169,171,176,201,184,176,165,161,166,174,166,177,160,124,99,98,176,188,187,187,187,187,186,186,186
2,155,155,154,154,155,155,155,154,153,151,152,152,151,149,147,146,145,143,146,144,142,140,140,141,138,135,134,133,156,157,157,157,157,157,157,157,156,155,154,154,154,153,151,151,149,146,147,145,144,143,141,141,139,137,135,135,157,158,158,159,158,158,158,157,158,157,156,156,157,155,153,145,142,146,146,150,151,149,145,141,141,138,138,137,159,160,162,161,160,160,161,159,160,160,158,159,155,162,162,141,130,131,124,120,126,138,153,144,144,141,140,140,161,163,162,162,162,163,164,163,163,162,160,156,173,180,161,150,143,131,122,99,87,58,83,156,145,144,144,140,163,165,163,162,164,165,164,163,163,162,160,173,186,178,172,171,171,143,127,125,84,78,35,105,150,147,143,141,165,166,165,164,166,165,165,166,165,161,169,184,182,187,101,75,115,67,57,127,118,104,74,50,61,124,147,142,168,168,167,167,167,167,167,168,166,163,180,185,165,135,57,3,11,9,8,50,80,60,22,21,11,117,154,143,170,170,169,170,171,171,170,167,171,184,200,137,67,41,20,7,3,13,136,121,132,104,54,34,80,154,147,147,172,174,173,172,172,173,170,174,195,205,182,113,55,19,0,0,0,80,173,163,164,165,158,148,156,151,149,148,172,174,175,174,174,174,171,190,204,197,153,101,63,35,14,0,65,161,160,160,160,157,158,160,155,153,150,150,176,176,176,176,176,166,185,205,196,156,96,57,41,23,3,71,177,163,165,164,160,159,158,159,158,154,151,149,178,179,178,179,169,184,215,204,178,152,87,16,10,17,8,143,172,164,165,164,164,162,159,159,158,154,153,150,180,180,181,170,186,220,213,185,157,152,86,35,14,0,63,179,166,168,168,166,166,165,163,159,159,158,155,152,181,184,175,186,221,216,191,171,173,120,63,31,5,0,148,180,170,168,169,169,166,165,163,162,162,160,154,154,186,182,179,220,222,207,181,184,153,95,61,14,3,0,119,189,170,171,172,170,169,167,171,165,148,152,163,155,186,179,215,226,218,197,180,166,127,87,44,0,0,1,18,158,177,173,172,170,170,173,146,114,109,86,128,163,179,202,230,219,207,186,170,154,119,63,19,0,4,7,0,65,190,169,177,179,177,121,85,111,120,50,101,167,193,230,220,207,190,179,158,139,95,40,11,11,22,23,19,15,144,191,163,115,72,72,104,113,54,92,164,156,231,233,212,199,179,160,143,121,68,35,14,29,42,42,37,20,29,94,51,53,41,72,101,49,63,175,162,161,98,196,211,186,172,147,133,100,65,35,23,45,48,47,37,32,19,32,36,63,74,70,57,0,147,170,164,164,4,37,131,152,142,135,115,99,58,22,27,51,45,44,38,32,29,46,56,61,65,39,0,55,176,165,166,164,17,6,4,67,93,78,70,45,17,14,22,40,37,37,32,31,36,44,46,35,23,47,109,166,173,169,167,166,4,12,5,0,14,19,8,0,0,8,8,25,31,29,15,14,6,6,29,81,135,176,185,176,174,173,169,168,4,2,1,8,2,0,0,0,0,0,0,4,0,0,20,46,58,107,167,190,189,182,176,175,175,172,170,168,3,0,0,0,9,0,0,0,0,0,0,0,33,101,169,191,194,195,188,182,181,181,178,178,176,173,171,169,1,0,0,0,7,0,0,0,0,0,5,164,203,203,196,191,187,186,186,186,184,184,182,180,177,175,174,171,0,0,0,0,0,0,0,0,0,0,0,0,174,197,190,193,192,191,190,188,187,185,184,182,178,177,175,171
2,70,79,91,109,118,125,132,136,137,141,145,148,151,154,156,158,160,161,162,164,164,165,166,166,166,166,167,166,71,80,93,110,119,126,133,137,139,142,145,148,152,155,157,159,162,163,163,166,167,167,168,167,167,168,168,168,73,81,95,112,121,128,135,138,140,144,146,153,152,146,154,157,159,163,165,168,168,169,169,170,170,170,169,169,74,82,98,114,123,130,136,139,141,145,153,180,172,158,154,147,147,156,155,155,165,170,171,172,171,171,171,171,76,84,102,115,124,130,135,143,148,143,165,183,180,184,183,165,141,128,134,122,129,165,173,172,172,172,172,172,77,85,103,116,125,131,137,174,179,171,173,166,153,149,159,174,156,116,93,117,145,137,161,174,173,173,173,174,77,86,105,117,126,131,156,193,177,178,185,183,170,141,112,118,153,136,100,98,128,103,139,176,174,175,175,175,79,88,107,118,127,134,178,164,148,153,158,153,162,163,134,130,122,137,144,125,92,115,163,174,174,176,176,176,80,90,108,120,127,145,173,171,168,160,146,135,153,149,150,151,118,97,132,126,96,159,176,175,175,177,177,177,82,91,111,121,137,177,181,181,172,163,158,152,152,112,90,107,96,109,115,108,126,173,176,176,176,178,178,177,82,94,112,123,173,182,159,145,126,107,110,111,101,83,70,82,143,168,167,163,173,177,178,178,178,179,179,178,82,96,112,139,191,155,115,91,72,67,68,69,75,72,67,86,168,174,176,178,179,178,177,172,172,179,179,179,83,97,114,171,175,129,94,67,56,64,63,63,70,68,62,79,168,176,176,178,178,158,133,122,121,146,178,179,85,97,139,193,145,103,77,64,60,61,61,67,66,61,57,68,162,178,179,177,141,112,116,122,120,107,167,182,87,98,170,182,129,98,82,71,60,59,63,65,63,61,64,60,137,182,181,146,113,126,135,132,117,110,172,183,87,101,177,166,121,95,80,65,55,57,62,67,66,67,67,65,92,170,169,114,127,138,132,118,125,162,184,184,87,106,177,159,120,91,70,58,56,57,64,72,73,74,78,81,77,91,125,116,132,128,106,134,178,186,185,184,89,109,179,157,116,84,66,61,56,60,69,75,81,86,94,99,95,70,103,126,121,99,99,174,188,187,186,186,89,112,180,157,123,94,75,64,57,61,72,84,95,101,107,110,109,88,112,124,107,85,131,189,188,188,188,187,90,116,177,151,124,97,81,71,60,62,75,95,109,112,117,120,120,102,108,122,101,91,168,190,189,189,189,188,91,116,172,148,124,101,88,79,66,64,80,106,118,123,126,130,124,109,99,117,95,104,185,190,190,190,190,190,93,114,166,146,125,109,96,83,68,64,85,112,123,127,128,130,121,104,95,97,102,156,192,192,193,193,193,192,93,112,159,143,127,113,97,83,71,67,88,111,118,122,121,120,111,96,89,124,172,192,194,194,194,194,194,193,95,108,153,145,127,112,95,82,73,74,94,107,110,110,111,110,98,87,128,187,192,192,194,194,194,194,194,193,94,106,152,149,128,110,93,85,80,81,99,103,105,104,103,98,89,118,178,189,189,190,193,193,193,194,194,193,95,111,161,151,126,109,99,93,87,83,96,96,95,93,88,101,138,180,189,190,191,192,193,194,194,194,193,192,95,145,162,156,130,112,104,96,88,78,79,80,79,87,130,167,185,188,189,190,191,192,193,194,194,193,195,200,114,170,136,150,135,110,97,89,80,73,71,71,66,97,176,183,185,188,189,190,191,192,193,194,194,196,195,199
12,162,164,164,165,166,166,168,168,168,169,169,169,170,170,170,170,170,170,171,170,169,169,169,170,168,169,169,167,163,164,166,167,167,168,170,170,169,170,170,170,171,171,171,172,171,171,172,172,171,169,170,171,170,170,170,169,163,164,166,169,169,170,172,172,171,172,172,173,172,172,173,173,173,174,174,173,172,172,172,172,171,171,171,170,165,166,167,169,170,171,173,173,171,172,173,173,174,173,174,175,175,176,175,174,174,175,174,173,173,173,172,172,167,169,170,170,171,171,174,175,173,173,174,176,173,183,175,170,178,175,177,178,176,176,175,176,175,175,174,174,170,170,171,172,173,173,174,176,174,184,187,170,183,200,186,137,150,188,178,162,178,176,177,177,177,176,176,175,170,171,172,173,175,176,177,173,190,221,204,154,170,209,191,119,95,190,179,121,144,182,176,179,178,178,178,177,170,172,174,176,176,176,178,170,199,225,208,153,156,216,190,129,85,186,170,119,90,180,181,179,179,179,180,179,171,173,176,177,177,179,178,174,205,222,209,152,152,218,185,144,115,191,153,104,72,164,187,181,181,180,180,179,173,175,176,177,179,175,193,204,175,188,209,182,131,213,195,143,136,192,162,99,63,153,190,181,182,182,182,181,173,176,177,178,178,179,223,206,150,138,181,169,106,199,193,108,141,200,146,89,61,147,193,182,184,183,183,181,176,177,179,181,175,202,225,209,175,113,152,118,67,118,123,78,148,158,94,65,59,144,195,184,186,184,184,183,177,179,180,182,178,214,222,216,183,132,116,113,55,48,67,151,177,152,104,106,89,148,197,185,186,186,184,184,179,180,183,181,183,218,196,214,189,158,99,78,88,68,151,222,214,190,155,153,116,150,197,186,187,186,186,185,179,182,183,180,190,225,207,188,190,161,114,76,78,137,225,219,210,189,157,143,106,130,199,188,189,187,187,186,181,183,184,180,206,225,214,165,184,160,126,84,72,210,225,219,209,190,163,130,93,131,201,189,190,188,187,189,183,184,187,180,212,225,219,194,165,159,172,114,112,225,222,219,208,186,150,125,88,134,202,189,192,190,189,190,184,185,189,183,203,225,221,198,162,138,162,154,187,225,220,219,207,180,148,121,91,113,200,191,193,192,190,191,185,185,189,183,206,225,223,204,189,173,153,199,220,225,216,218,207,175,153,115,89,105,202,193,192,193,192,191,185,186,189,185,209,225,224,216,205,199,181,200,211,225,211,210,200,178,147,112,77,129,206,193,194,193,194,193,185,187,190,186,205,225,224,222,212,201,188,193,201,222,207,197,190,179,134,104,73,174,199,194,196,195,196,194,186,188,191,189,197,225,225,224,214,195,185,193,194,214,201,187,186,167,124,83,104,205,194,196,196,196,197,194,186,188,190,191,190,219,224,220,210,188,177,189,190,202,193,182,175,146,104,67,167,205,197,198,198,197,197,196,188,191,194,197,194,218,225,215,204,188,183,193,199,216,202,184,162,125,72,107,207,198,199,198,199,198,198,197,186,180,175,168,154,165,160,134,130,127,125,132,126,134,120,110,105,89,62,185,218,201,201,200,200,200,200,198,126,122,112,104,84,73,70,63,55,47,39,36,22,21,21,19,19,23,28,81,150,202,202,199,200,200,200,199,103,104,106,98,85,77,74,65,58,51,46,37,27,26,25,23,18,15,12,3,8,180,205,198,199,199,198,198,120,103,106,96,85,76,70,63,57,46,41,34,26,23,24,22,16,12,16,2,70,207,197,200,199,199,198,198
13,147,147,149,151,152,153,154,154,155,156,156,156,155,156,156,156,153,153,152,151,151,150,148,146,145,143,142,142,147,148,150,153,154,155,155,156,157,157,159,160,162,157,158,160,160,155,154,153,151,151,150,149,148,146,144,143,148,150,151,153,156,157,157,158,158,159,146,120,127,165,145,117,126,160,155,155,153,152,152,151,149,149,146,144,149,151,152,155,157,157,158,161,159,164,145,114,87,118,125,98,57,131,165,155,155,155,154,152,150,149,148,146,149,152,154,156,157,158,160,161,159,171,167,131,108,60,117,113,65,90,170,156,157,156,155,153,151,150,149,147,150,153,156,157,158,159,161,162,161,163,169,133,102,56,91,107,65,73,168,159,158,156,155,154,153,151,149,148,151,154,157,159,160,161,162,162,166,168,159,130,95,60,66,85,53,66,167,159,159,157,156,155,155,153,151,149,152,155,157,159,161,162,163,162,151,155,145,129,98,72,62,96,55,76,169,159,160,160,158,157,156,155,152,150,153,155,157,160,162,164,164,149,105,85,92,132,132,87,71,104,65,81,173,160,162,161,159,157,156,155,153,152,154,157,159,161,163,164,174,148,104,90,70,131,146,97,62,91,62,46,149,168,162,162,160,159,158,156,155,153,155,157,159,162,162,156,123,128,123,111,75,59,100,66,55,64,62,57,91,172,162,163,161,160,160,157,155,154,156,158,161,159,168,149,92,79,133,115,98,41,17,23,49,67,80,91,61,138,171,161,162,160,160,158,156,155,156,159,159,169,176,132,105,84,107,126,99,73,22,47,53,84,104,102,67,89,175,162,163,162,160,159,157,156,157,160,161,175,139,131,121,104,79,118,107,87,35,57,112,121,108,90,70,75,173,163,162,162,162,160,158,156,156,159,162,176,135,110,117,100,79,92,97,64,33,69,126,134,116,84,56,90,176,164,164,164,162,161,159,156,157,159,166,165,136,98,89,89,63,44,68,58,40,92,134,127,114,83,43,118,178,165,164,163,162,162,159,156,157,160,163,166,157,130,92,65,43,32,65,71,72,140,143,120,106,76,44,148,175,167,165,163,162,162,160,157,159,161,162,164,161,141,115,98,81,79,89,89,133,159,135,112,95,68,59,169,169,168,167,164,163,162,160,158,159,163,163,163,158,146,125,104,87,90,124,153,155,144,126,105,88,55,80,180,168,169,167,164,163,161,160,160,159,162,164,166,148,135,122,102,89,91,116,151,146,133,113,95,81,43,107,182,169,170,168,165,163,162,161,161,159,161,165,167,142,133,124,107,101,95,108,142,144,130,105,83,71,38,141,179,171,169,168,166,163,163,163,161,160,162,164,169,156,133,126,114,106,94,101,135,136,119,91,72,49,61,177,172,171,170,169,167,164,163,163,161,158,161,163,168,169,139,126,118,104,93,91,117,123,104,79,65,34,124,183,171,172,170,169,168,165,164,163,161,159,162,165,167,171,165,133,114,99,93,90,104,117,99,78,56,52,171,174,173,171,170,169,167,166,165,164,162,160,163,166,169,170,170,147,122,104,98,103,104,113,100,76,47,97,185,172,173,172,172,170,167,168,167,164,162,159,162,165,167,168,165,154,131,125,123,119,110,113,96,68,48,137,182,172,172,171,170,169,167,166,165,164,161,158,161,163,167,167,157,162,142,135,129,121,117,105,86,63,53,162,175,172,170,169,169,168,165,164,163,161,160,158,161,163,167,167,154,168,146,137,136,120,108,89,82,55,64,175,172,173,171,170,170,168,167,165,163,161,160
22,176,178,179,180,180,180,181,182,181,182,183,183,182,182,182,182,181,182,183,182,180,180,179,179,155,76,35,31,178,179,181,181,182,183,184,184,184,185,186,186,185,185,185,185,185,185,185,184,182,182,181,181,159,71,41,45,180,182,183,184,185,186,186,186,187,187,188,187,187,187,187,187,188,188,187,187,186,185,184,183,177,105,47,55,182,184,185,186,186,187,188,189,189,189,190,190,189,188,190,189,189,190,188,188,188,187,186,185,183,139,56,49,184,186,187,188,188,190,191,192,192,192,192,192,195,174,178,193,192,193,182,164,190,190,189,187,187,173,73,41,186,188,189,190,192,192,193,193,194,194,193,193,204,166,156,197,195,198,184,132,187,192,192,190,187,159,90,33,187,189,191,192,193,194,194,194,196,195,195,196,205,165,147,199,197,196,174,126,185,194,194,192,194,133,112,84,188,191,192,194,194,194,196,196,197,197,198,198,212,178,141,197,198,197,177,130,183,196,195,197,187,123,142,148,190,193,194,196,197,196,198,198,199,200,199,198,215,199,140,195,200,199,183,138,186,197,196,203,174,127,150,175,192,193,195,198,199,198,199,200,200,200,200,200,213,215,144,191,202,198,178,141,189,200,200,211,168,135,176,176,193,194,196,197,198,199,200,200,201,201,201,201,210,224,150,176,203,196,178,140,188,202,204,208,154,148,193,158,194,195,197,199,200,200,201,200,201,202,202,202,209,230,176,152,202,199,187,145,188,202,211,195,135,161,199,170,195,196,198,199,201,201,202,202,203,204,204,204,207,228,195,140,189,191,186,149,191,207,212,182,126,178,200,192,196,198,200,201,201,202,202,204,204,204,205,206,205,220,194,152,159,150,177,163,198,212,206,163,134,195,201,199,197,198,199,201,201,201,202,204,205,205,206,207,211,226,206,179,170,113,141,167,186,188,183,140,160,203,201,200,195,196,197,200,200,201,202,203,203,204,205,205,219,214,216,183,182,149,126,127,144,150,145,124,188,204,201,200,195,196,199,200,201,202,203,203,203,204,205,207,218,188,199,178,157,182,170,122,105,124,118,127,201,202,201,199,195,197,199,201,201,202,203,203,204,206,206,215,222,196,182,173,115,160,180,157,114,98,100,134,203,201,200,199,195,197,200,201,201,202,203,204,205,207,206,219,217,181,151,166,107,97,161,182,158,107,88,146,205,203,201,200,197,199,202,202,201,203,205,205,206,209,206,218,218,177,148,145,119,87,143,200,194,151,98,160,206,204,202,201,166,169,173,176,179,182,186,188,191,194,194,210,226,187,152,126,135,148,189,200,208,178,128,137,204,206,204,203,103,104,106,108,108,110,112,113,116,119,119,176,230,207,153,133,157,203,220,211,203,178,142,115,156,161,164,171,101,101,102,102,101,101,102,102,102,103,101,165,233,223,156,141,157,213,226,218,196,166,125,100,111,131,158,182,103,101,101,102,103,103,103,104,104,104,105,162,228,225,160,155,154,214,229,217,190,158,111,136,190,202,209,216,101,100,100,100,102,102,103,104,105,106,104,144,223,225,173,169,152,209,231,206,180,145,104,159,205,203,204,213,100,101,100,100,101,102,102,104,105,104,103,122,212,222,188,171,155,195,218,187,160,125,101,156,179,194,199,202,99,100,100,101,102,101,101,104,104,103,104,109,193,218,192,163,148,171,201,167,134,106,105,170,149,159,182,197,99,100,101,101,105,102,101,103,104,104,104,106,183,205,177,151,135,140,177,149,117,96,118,184,144,144,172,193
6,161,162,164,166,167,169,169,168,168,168,169,169,169,168,168,167,168,167,167,166,165,165,165,165,163,163,161,161,161,163,165,167,168,169,170,170,171,171,171,170,171,170,170,169,169,168,167,167,166,166,166,166,166,165,162,161,162,164,166,167,169,171,172,172,173,172,171,171,172,171,170,169,169,168,167,168,167,167,167,166,166,165,163,162,161,163,166,168,169,172,172,172,172,171,172,172,171,171,172,171,170,169,169,168,167,167,168,167,166,166,165,163,162,165,166,168,170,171,172,173,173,172,173,173,172,171,170,169,169,170,171,171,170,172,170,169,168,166,166,164,163,165,166,168,171,171,172,173,173,172,170,166,161,153,137,138,145,149,148,149,150,147,157,160,166,168,166,166,163,166,168,169,171,171,169,173,173,175,172,168,165,154,137,138,149,155,144,146,132,126,167,152,135,171,166,166,164,166,168,172,175,166,170,179,181,182,177,169,162,150,138,136,146,153,149,146,143,132,158,143,120,170,166,166,165,168,168,191,182,166,168,169,167,159,152,148,140,137,124,104,100,114,119,123,128,124,128,128,155,171,167,167,166,168,170,200,180,164,158,152,157,161,162,156,144,141,145,117,102,157,155,158,158,162,163,168,172,169,168,167,167,167,173,184,160,156,159,164,171,176,170,160,153,149,148,126,97,176,179,177,177,176,174,173,172,170,169,167,167,166,189,182,154,153,158,164,172,176,173,166,157,147,132,112,87,147,180,173,174,174,173,172,173,171,170,168,168,168,190,169,155,152,154,157,162,164,165,159,147,140,128,93,87,120,181,173,175,175,174,173,173,173,171,170,168,171,179,156,165,163,161,161,165,172,172,159,139,141,143,93,84,110,177,176,175,176,175,174,174,172,171,170,168,169,177,178,178,168,170,171,177,181,168,154,144,145,134,99,88,106,173,178,178,177,175,174,173,172,172,170,169,167,180,202,184,165,168,168,171,169,163,154,148,135,113,99,96,110,178,177,178,178,176,174,173,173,172,171,167,166,183,198,181,165,162,153,142,140,142,139,134,123,93,91,102,155,181,177,176,176,177,174,173,172,171,170,167,166,182,186,179,168,155,140,135,148,157,150,149,153,105,76,110,176,178,177,175,175,175,174,173,171,170,168,169,167,183,179,189,174,155,155,172,178,163,148,141,147,112,86,130,181,176,177,176,175,174,174,173,172,170,168,169,167,183,177,185,171,157,159,167,166,153,143,136,125,106,96,146,184,176,176,176,175,174,174,173,172,171,170,167,162,179,181,175,165,159,158,161,156,148,134,120,104,93,101,161,179,177,177,177,176,175,174,173,172,172,171,170,162,172,180,179,165,157,152,147,132,119,104,94,104,134,157,178,176,178,178,176,177,177,176,175,174,173,166,159,154,169,178,168,155,144,135,122,104,95,81,96,150,174,172,170,169,170,170,169,170,170,169,170,169,161,195,101,104,163,169,149,140,135,128,104,94,98,97,103,105,104,103,104,104,104,103,102,102,103,103,104,96,183,236,99,101,159,161,140,142,137,118,99,96,102,107,96,93,93,92,92,92,92,90,89,89,89,89,78,169,238,227,99,108,163,152,139,150,135,108,97,95,106,103,97,98,97,97,95,99,105,100,100,103,102,84,171,238,230,228,95,116,168,150,142,149,132,109,96,96,112,101,97,98,96,96,95,96,98,96,96,101,85,156,238,232,228,222,95,127,170,147,138,141,121,101,94,101,111,99,98,98,97,95,95,95,96,96,99,89,130,236,231,234,221,218
21,184,189,191,194,197,200,201,205,209,210,210,209,207,215,211,211,213,213,210,211,211,211,213,212,209,208,207,204,186,190,193,197,200,202,205,208,209,212,209,220,231,187,213,217,216,215,214,214,214,214,215,215,213,211,211,210,189,192,196,200,202,206,209,210,211,215,211,236,255,177,178,225,218,218,219,218,218,219,216,216,218,217,214,211,191,195,198,201,205,208,211,213,215,219,219,216,255,221,143,216,224,220,222,220,220,221,218,222,210,203,218,213,192,197,200,204,207,209,213,216,218,220,222,216,247,255,180,187,229,222,224,222,223,224,219,249,194,145,224,216,193,200,203,207,208,211,215,219,221,220,221,220,228,255,232,167,219,229,226,227,227,223,229,255,177,151,228,217,196,202,205,208,210,215,217,221,222,223,224,226,221,255,255,170,193,233,227,227,228,221,250,253,156,182,229,219,199,203,207,209,213,217,218,221,223,225,226,228,220,255,255,190,170,234,229,229,229,230,255,232,151,212,230,225,202,205,209,212,217,219,220,223,225,227,228,230,225,245,255,220,158,230,233,232,227,246,255,200,149,231,227,226,203,208,211,215,218,221,223,226,227,230,232,227,243,255,255,228,137,178,243,229,234,255,244,158,176,240,227,227,205,209,213,217,220,223,226,226,228,230,230,238,251,255,255,223,173,133,218,239,249,255,230,144,221,237,231,229,207,210,213,218,222,226,227,228,229,233,235,255,245,233,255,246,235,219,169,207,238,245,183,161,244,233,234,231,208,212,217,220,224,227,228,229,234,233,248,255,255,239,217,228,255,250,164,130,187,190,137,202,244,234,236,234,209,214,217,220,226,228,229,232,235,230,253,252,216,168,104,117,237,249,185,124,141,146,132,235,239,237,237,236,211,216,218,223,227,229,232,235,238,232,255,246,166,164,141,114,169,255,220,147,115,117,150,248,239,239,237,236,212,217,219,225,227,230,234,237,239,235,255,255,236,207,154,156,148,255,253,172,115,99,174,254,240,242,240,239,213,218,223,226,228,233,235,238,240,236,255,255,223,184,157,182,177,255,255,204,136,93,181,255,240,244,243,243,216,220,225,227,230,234,235,238,242,240,255,255,195,178,185,205,219,255,255,222,161,102,174,255,241,244,243,243,216,220,224,228,232,235,237,239,242,242,255,255,224,214,213,216,255,255,255,220,167,104,174,255,242,244,243,243,214,218,223,227,232,235,236,238,242,238,255,255,239,218,226,236,255,255,255,210,176,108,170,255,242,245,244,244,217,222,225,228,233,236,237,240,243,237,255,255,254,221,233,250,255,255,255,213,174,112,176,255,244,246,245,244,219,224,228,231,234,236,238,242,245,239,255,255,255,236,234,255,255,255,255,208,170,109,183,255,247,247,247,246,220,224,228,230,234,236,240,243,247,245,255,255,255,255,248,255,255,255,249,210,162,107,175,255,248,251,250,249,220,225,228,234,236,238,244,246,248,248,255,255,255,255,255,255,255,255,238,206,153,103,171,255,250,253,251,250,222,226,230,234,236,241,245,247,249,250,248,255,255,255,255,254,255,240,220,201,146,97,179,255,252,251,255,254,214,220,225,229,236,240,243,246,250,252,248,255,255,255,253,229,242,229,207,207,140,87,217,255,255,255,239,164,148,149,153,158,161,163,168,170,170,170,172,198,255,255,230,195,209,230,203,201,126,87,195,209,207,212,137,103,113,114,116,115,113,115,119,118,114,120,102,84,255,243,204,183,201,232,188,188,107,67,90,111,122,124,95,96
21,172,175,178,180,182,183,184,185,186,187,187,187,188,186,186,186,187,184,183,183,182,182,181,180,179,178,177,176,173,176,178,181,183,184,185,187,188,188,189,190,190,189,188,186,182,186,185,185,184,183,183,182,180,179,179,179,174,177,179,182,184,184,186,188,190,190,191,190,190,190,192,197,134,160,192,185,185,184,184,183,182,180,180,180,176,178,181,184,185,185,187,189,191,192,192,191,192,189,196,197,123,153,194,187,187,186,186,185,184,181,181,181,177,179,183,185,186,187,189,190,193,192,193,193,193,190,202,189,126,162,195,188,189,186,183,188,186,184,183,183,177,181,183,184,187,189,190,192,192,194,194,194,196,191,207,186,127,169,197,188,189,176,137,167,192,185,185,184,179,181,184,186,189,190,191,191,193,194,196,196,197,194,209,182,130,179,195,190,186,165,117,159,193,186,186,185,180,183,186,188,190,191,192,193,195,196,198,197,197,196,210,177,128,183,196,191,182,160,123,182,189,186,186,186,180,183,186,189,190,192,193,196,196,196,197,197,195,200,209,173,125,183,198,190,179,147,135,193,188,189,187,187,181,185,187,190,191,192,194,196,196,197,198,199,194,206,210,165,123,189,195,184,178,132,163,197,189,190,189,188,183,186,189,190,192,194,195,196,198,198,196,195,195,215,206,154,134,201,187,179,163,125,186,194,191,191,190,189,183,186,189,191,192,195,197,198,197,203,197,157,153,202,183,135,138,202,184,182,137,140,200,193,192,193,191,190,184,186,190,192,194,196,197,198,198,201,200,163,132,131,131,113,151,199,187,171,123,177,200,194,193,193,191,191,185,188,190,192,195,197,198,199,201,207,198,197,172,145,111,109,152,177,178,144,132,198,197,195,194,193,192,192,185,188,192,194,196,197,200,199,207,215,207,223,204,164,119,114,127,138,146,120,164,204,196,196,195,195,194,194,186,189,192,194,197,198,200,204,205,179,199,206,195,150,120,113,118,123,121,123,193,200,198,198,197,195,196,195,185,189,192,195,198,199,198,212,192,154,188,155,183,164,131,115,108,117,111,150,207,199,199,200,198,196,196,196,187,191,194,196,198,201,200,215,203,172,145,110,168,184,143,118,107,111,110,176,207,201,200,200,199,198,198,196,188,192,194,197,199,200,202,215,183,150,134,112,146,196,156,128,115,111,111,189,206,202,202,200,200,200,198,197,188,192,195,198,200,200,210,218,179,169,161,135,188,204,166,150,123,115,109,189,209,204,204,202,201,200,199,198,188,192,196,198,200,199,216,214,189,180,151,176,232,201,168,159,129,120,116,193,209,204,205,204,201,200,201,199,189,193,196,197,200,201,218,221,203,167,162,226,221,185,161,157,133,122,125,200,207,205,204,205,203,202,202,200,189,193,196,198,201,201,222,232,193,168,178,232,209,184,156,145,137,121,135,208,205,205,205,204,204,203,201,199,190,194,197,199,203,201,223,217,180,184,181,229,206,186,169,133,130,119,151,213,206,207,207,205,204,203,202,201,189,193,196,198,201,201,217,199,200,192,179,229,202,178,165,136,128,118,170,213,207,207,206,206,205,204,203,201,189,191,193,197,199,201,207,207,223,188,191,221,189,166,149,134,130,122,185,212,206,206,204,204,203,202,202,199,189,192,195,197,200,203,203,213,214,180,178,203,177,153,134,130,125,131,199,210,206,206,206,204,204,203,202,200,190,193,195,197,201,203,205,209,197,178,168,188,174,150,139,130,119,140,209,209,208,207,206,205,204,204,203,201
2,207,210,213,214,215,216,217,218,218,217,217,217,215,215,216,215,215,215,216,213,208,207,205,204,203,202,200,198,210,212,214,215,215,218,219,220,219,220,220,220,222,222,220,218,216,210,201,209,218,211,208,206,204,202,202,199,211,213,215,216,217,218,219,221,220,221,221,208,183,184,192,190,178,170,153,131,169,207,214,211,206,205,203,201,212,215,218,219,219,219,221,221,221,222,222,200,174,171,177,179,170,157,147,120,102,139,169,190,211,206,205,203,213,216,218,219,221,221,223,223,223,226,210,188,191,190,189,185,173,147,125,130,135,130,134,145,211,206,205,203,214,216,218,220,222,223,224,223,225,221,190,181,196,197,186,176,172,148,137,144,160,157,122,133,213,207,206,204,214,217,219,221,222,222,223,224,226,217,199,191,184,169,157,180,191,124,106,126,136,129,119,183,215,209,206,205,216,218,221,222,223,224,225,225,227,218,193,193,185,169,160,157,130,145,199,174,152,160,210,218,210,210,208,206,217,220,220,222,224,226,227,227,225,215,212,199,177,156,130,125,147,213,230,228,226,223,216,216,218,218,213,207,218,220,220,223,226,227,227,226,206,206,201,180,146,88,150,224,229,227,221,220,220,217,221,203,165,149,190,212,218,220,223,223,225,226,228,223,198,195,178,148,99,59,157,241,224,227,226,223,220,223,204,140,108,100,132,214,218,221,223,225,226,228,227,216,190,178,145,98,79,77,146,238,225,228,226,222,226,208,149,117,112,105,128,217,219,223,223,225,227,228,222,215,199,169,108,74,87,80,161,239,225,228,224,227,214,151,123,122,112,94,173,219,220,222,225,225,227,228,222,217,198,168,111,78,90,79,145,246,226,226,228,229,159,106,108,115,99,125,219,210,220,222,226,227,228,228,224,216,194,162,104,82,91,84,83,187,234,235,228,179,124,94,96,100,97,200,218,211,221,223,225,228,229,228,221,215,194,150,100,96,91,86,86,87,134,192,153,117,112,113,96,95,187,223,213,214,221,223,226,228,230,228,221,216,192,149,115,104,90,89,93,97,94,101,96,97,109,107,101,194,227,218,216,213,221,223,227,228,230,228,220,212,192,159,121,102,88,89,90,97,103,107,101,103,111,97,190,229,218,219,217,213,220,223,227,228,230,228,214,205,192,157,126,108,87,88,90,97,103,109,108,101,87,161,236,219,220,219,216,214,220,223,227,228,230,227,211,203,187,155,135,107,84,88,93,97,103,111,115,96,110,223,225,221,219,219,217,215,221,223,227,228,230,226,211,203,183,159,133,106,87,87,94,99,105,109,112,91,194,234,223,223,221,219,218,216,221,224,227,228,231,224,207,209,195,159,131,113,88,86,95,102,107,113,98,114,233,226,227,224,222,220,219,216,221,223,226,228,232,220,206,219,200,157,130,113,90,85,98,103,109,112,81,178,237,225,225,223,222,219,218,216,219,222,224,226,229,216,209,218,192,154,129,115,94,82,99,105,108,88,116,232,226,225,224,221,220,218,216,215,218,220,222,225,228,213,210,210,184,148,127,116,97,83,97,104,95,87,205,233,224,224,222,221,220,218,215,214,218,221,222,224,228,212,208,202,175,145,129,116,98,84,96,97,78,181,236,224,225,223,221,220,219,217,215,213,218,220,221,224,226,209,203,189,163,142,126,112,95,86,88,87,175,238,225,226,224,223,221,221,219,216,215,213,215,218,221,223,223,208,193,181,158,135,123,109,97,83,95,200,236,226,227,225,223,221,219,217,216,215,213,211
4,214,216,216,217,219,221,222,223,223,223,223,223,223,224,223,224,222,223,224,223,223,223,225,224,223,222,221,221,217,217,218,221,222,223,223,224,224,224,224,224,224,223,224,227,229,226,224,225,228,226,224,225,225,223,223,224,219,220,222,224,225,224,225,224,225,226,226,228,229,230,223,202,191,218,219,190,193,230,230,227,229,227,226,225,222,223,224,225,225,226,227,227,227,227,227,216,211,218,240,230,197,166,173,205,175,151,215,233,230,230,228,228,223,224,225,226,228,229,229,230,230,232,231,228,208,168,172,239,223,169,107,142,187,118,143,245,228,230,230,230,225,226,228,229,229,230,231,227,228,217,232,241,224,177,119,162,228,164,115,83,155,128,122,241,230,232,232,231,227,229,228,230,231,231,230,232,228,174,148,184,230,185,121,80,208,182,135,73,141,155,122,236,235,234,232,233,229,231,232,232,232,230,234,231,232,179,111,94,210,211,140,66,175,232,171,86,135,189,131,234,237,235,234,235,229,232,234,233,234,232,235,204,199,188,147,71,182,239,141,110,187,229,178,110,105,173,156,243,236,236,236,236,230,232,233,235,237,235,237,212,144,189,190,97,130,218,146,102,136,177,170,107,92,121,105,227,241,236,237,238,231,233,235,235,236,236,240,219,180,177,179,119,101,129,127,117,113,131,141,104,112,142,113,156,251,237,240,239,233,234,237,237,237,236,242,236,213,178,140,111,108,121,116,127,132,123,117,106,177,186,172,131,216,248,239,239,236,237,238,238,239,238,245,235,200,178,147,127,129,133,135,152,154,158,170,165,181,210,195,146,142,251,240,242,235,237,238,240,240,239,245,230,187,160,144,130,144,154,175,186,200,219,238,232,202,194,168,132,97,211,250,240,236,237,239,241,241,240,244,235,198,170,151,140,160,161,199,232,214,232,232,227,214,188,154,118,95,168,255,240,237,239,241,243,243,241,244,249,217,183,155,147,158,166,223,232,221,230,229,222,204,183,154,121,93,191,255,241,238,240,242,243,244,244,241,248,228,197,167,147,157,177,227,232,231,237,235,220,206,186,149,114,110,239,248,244,239,241,242,243,244,245,243,248,242,211,179,151,176,178,218,236,243,247,242,228,207,170,141,102,160,255,246,248,240,242,243,243,245,246,244,245,249,223,188,164,189,189,208,239,249,251,255,240,198,158,133,100,213,255,247,248,241,243,244,245,246,248,244,241,246,240,193,173,192,199,216,240,253,255,255,231,183,156,117,122,253,250,250,249,243,244,245,246,248,249,248,237,234,240,205,180,191,196,221,244,248,255,242,203,169,152,102,171,255,249,251,250,244,245,245,246,248,248,252,232,229,240,221,193,186,194,217,242,240,239,214,184,160,137,99,228,255,250,251,250,244,245,246,246,246,247,252,240,223,239,230,209,195,198,213,232,234,212,193,170,143,108,156,255,252,251,252,250,244,245,245,245,247,248,250,251,224,222,225,216,204,201,201,206,210,190,170,142,113,116,244,255,253,254,254,252,241,243,243,244,245,247,247,253,231,217,224,213,206,200,187,186,195,179,151,125,90,186,255,250,253,254,254,252,242,243,243,245,246,248,248,253,234,223,219,205,198,194,176,172,181,166,126,112,100,237,255,252,253,252,253,252,245,245,245,247,248,248,248,252,238,223,208,180,187,186,178,176,170,150,121,102,128,255,253,255,254,252,253,252,244,245,247,248,248,249,249,253,241,224,217,193,207,203,192,181,166,148,130,94,157,255,252,255,255,253,252,253
24,140,142,143,143,144,145,145,146,146,146,147,148,147,148,147,147,147,147,147,146,146,145,144,143,89,23,12,4,143,144,145,146,146,147,148,149,148,148,149,150,149,149,149,149,149,149,149,149,148,147,146,147,83,12,18,19,145,145,147,148,149,150,150,151,151,151,152,151,151,152,151,151,151,151,151,151,150,150,148,153,106,20,27,34,145,148,149,149,150,151,152,152,153,154,153,154,154,154,154,154,155,154,154,153,152,151,149,151,144,40,26,28,147,149,150,152,152,153,155,154,155,155,155,155,155,156,156,156,156,156,155,154,154,154,153,149,156,88,20,18,149,151,152,153,154,154,156,156,156,156,156,156,157,157,157,157,158,158,158,157,156,156,156,153,157,132,26,10,150,153,154,154,154,156,157,157,157,158,158,157,158,159,159,159,160,160,159,159,159,156,157,157,154,159,47,2,151,153,155,155,160,159,157,158,159,160,159,160,160,161,161,160,161,162,160,161,161,159,158,158,156,162,108,89,152,154,155,158,135,155,161,160,161,160,160,161,161,161,162,162,161,162,162,162,161,161,160,160,157,163,113,129,154,155,156,161,108,117,168,159,161,161,162,161,161,162,163,162,163,163,163,162,162,162,161,161,159,163,122,151,155,156,158,159,121,77,159,162,162,162,162,162,163,163,163,163,164,164,165,167,163,164,162,162,161,161,151,130,156,157,159,162,143,75,116,172,161,163,163,163,164,167,165,165,168,171,152,146,167,163,163,163,163,162,167,126,156,158,160,162,154,115,76,156,168,163,165,166,163,156,164,169,140,168,155,93,132,172,164,163,161,154,137,126,157,160,161,161,163,145,90,94,168,166,164,167,170,130,136,176,107,104,167,101,98,174,165,163,164,141,98,80,157,160,161,161,163,156,130,99,118,170,164,169,183,157,123,145,130,89,163,117,102,172,164,166,169,116,75,91,156,159,160,160,161,161,147,124,103,132,166,167,179,183,135,106,154,96,144,130,108,174,159,174,150,76,119,169,157,158,161,161,161,163,158,139,126,140,144,153,147,183,153,94,131,114,133,146,93,136,145,168,111,89,168,160,157,159,161,162,162,163,164,160,161,158,134,125,114,148,164,105,86,121,130,157,83,86,150,142,85,143,167,160,156,158,160,160,161,162,164,165,176,149,126,108,88,97,156,116,64,133,122,168,102,111,148,105,101,171,162,162,162,164,167,167,168,168,170,169,175,174,149,111,94,102,126,131,73,130,131,103,121,139,133,77,125,171,162,163,114,119,120,124,128,132,136,138,141,178,180,158,109,95,118,134,96,103,150,100,172,138,114,85,166,175,169,165,66,67,67,69,70,68,71,72,62,159,189,182,161,104,108,146,137,121,152,167,157,115,101,80,105,102,112,134,76,75,76,77,75,75,76,78,65,122,194,171,180,138,107,118,177,189,192,176,135,106,87,75,96,126,148,167,76,73,74,73,74,76,75,77,74,84,172,169,181,164,125,108,136,187,181,153,127,92,82,161,178,174,170,174,74,73,73,72,73,75,75,76,79,70,118,182,185,172,136,115,117,168,167,139,120,75,108,156,150,166,163,162,73,74,75,73,73,74,74,75,77,76,74,166,170,150,120,105,112,139,146,123,93,71,150,149,126,140,154,154,72,72,73,74,74,75,74,74,75,78,66,135,164,125,120,114,115,128,134,111,75,83,144,161,116,106,132,151,72,72,72,72,74,77,73,73,74,77,68,114,170,145,145,133,124,128,131,102,66,91,138,156,127,96,126,141
7,199,199,199,199,199,199,199,198,198,197,196,195,194,193,191,191,190,189,187,185,183,182,180,178,177,174,172,170,201,200,201,200,200,201,200,201,200,199,199,198,197,195,195,194,192,192,190,187,186,185,184,182,179,177,174,172,201,202,201,202,203,202,203,203,202,202,201,200,199,198,197,194,194,193,192,189,187,186,186,183,180,180,177,175,203,204,203,203,205,205,204,205,204,203,203,202,201,200,198,196,197,195,195,196,193,191,190,185,183,182,179,178,206,206,206,206,206,206,207,207,206,205,202,202,202,204,203,203,200,194,187,178,177,173,184,190,186,184,181,179,207,207,206,207,207,206,206,207,206,208,209,209,203,191,181,165,161,158,137,130,178,172,148,190,188,187,184,182,208,208,208,208,209,210,212,214,210,201,188,172,157,147,122,134,135,124,122,122,148,133,144,201,191,188,185,182,208,209,209,211,211,203,188,172,165,154,144,136,138,130,113,115,109,96,103,86,77,111,143,143,178,191,187,185,210,210,212,204,173,147,137,138,142,147,144,138,127,104,107,101,99,103,104,100,99,89,79,101,119,190,189,186,211,215,201,174,162,134,121,133,122,116,112,111,114,122,137,128,95,108,116,94,90,75,69,91,94,185,193,188,212,193,174,175,163,130,111,101,98,109,124,141,148,143,132,115,78,82,82,60,61,63,72,94,149,196,191,189,182,168,173,172,160,151,141,143,144,151,155,141,135,124,113,84,61,69,96,124,152,172,190,201,201,194,193,191,165,169,172,167,164,160,143,133,123,125,121,104,98,95,91,104,139,180,207,214,212,207,202,199,197,195,193,191,169,175,169,169,170,150,111,79,89,88,72,60,50,91,200,218,218,216,208,205,204,202,201,201,199,196,193,191,176,174,172,167,145,128,81,59,67,51,43,43,43,36,97,216,208,210,210,208,207,204,202,202,200,197,192,190,173,175,167,142,134,119,89,79,57,45,46,43,46,31,86,211,212,208,208,207,205,202,201,200,198,195,196,199,176,173,155,140,131,127,133,130,78,48,51,53,37,94,210,211,211,209,207,206,204,201,199,196,196,202,183,141,177,166,142,128,123,127,138,118,62,46,43,27,73,215,215,212,212,210,208,207,205,202,204,207,196,162,83,47,166,138,113,114,111,112,113,78,50,39,37,37,63,220,211,213,209,207,207,206,211,208,181,138,89,53,47,42,138,122,118,122,114,101,90,74,66,47,50,31,115,220,210,213,220,218,216,215,158,98,68,49,44,45,48,38,126,129,127,123,101,74,76,95,83,50,38,117,227,221,221,208,163,148,147,110,62,55,44,45,45,46,47,34,129,120,103,82,68,72,89,99,66,43,78,154,156,143,128,83,46,47,39,45,42,51,48,26,37,45,47,34,110,88,80,80,81,81,76,57,51,88,100,83,69,66,66,42,28,48,33,45,36,33,41,20,27,39,46,29,98,94,96,90,77,65,59,64,102,120,96,76,66,58,49,50,20,35,32,29,31,32,31,16,22,35,42,21,85,82,79,72,62,65,89,110,110,90,71,56,50,43,40,37,27,17,33,21,27,27,24,15,21,34,39,17,60,68,75,79,91,104,110,108,96,54,45,48,44,33,37,32,30,9,23,19,20,27,20,15,24,31,37,14,104,109,113,118,111,106,105,97,62,45,30,37,42,29,30,25,27,8,11,20,17,28,17,15,25,29,33,11,109,112,108,112,107,105,98,73,35,35,32,26,39,21,24,17,22,14,7,18,19,27,13,19,25,31,32,7
2,198,199,199,199,199,199,200,199,198,198,197,196,198,192,194,196,195,194,193,191,191,190,188,187,186,185,183,181,201,201,201,201,201,201,201,200,200,200,200,208,205,157,175,196,197,194,196,194,194,193,191,190,189,187,185,184,203,204,204,205,205,204,203,203,202,203,223,212,165,129,130,177,185,154,190,197,196,195,194,193,192,190,187,187,206,206,205,206,207,206,206,205,212,230,220,160,129,117,126,151,154,125,169,194,197,197,196,195,194,193,190,189,206,207,207,207,208,206,207,219,245,229,180,131,121,114,109,115,119,113,117,164,198,198,198,196,195,194,193,191,208,208,208,209,209,208,208,242,236,179,137,114,114,115,114,97,112,121,112,121,165,202,200,198,196,195,193,193,209,210,210,212,211,210,222,248,203,137,111,98,100,107,109,109,109,113,112,113,166,202,200,200,198,197,196,195,211,213,212,213,213,214,245,230,170,130,113,105,94,111,126,132,118,129,142,170,200,202,202,201,200,200,198,196,214,214,214,214,214,235,242,190,142,117,115,114,109,120,125,132,175,198,204,206,206,205,203,203,202,201,200,198,215,215,216,215,229,251,231,172,131,109,114,111,120,117,148,196,210,211,210,209,209,207,206,204,204,203,201,200,216,217,216,218,250,250,214,164,136,123,112,113,128,155,212,214,214,214,214,212,211,209,208,207,206,204,202,201,218,219,218,230,254,240,195,155,134,131,121,116,126,181,218,217,215,215,215,213,212,211,209,209,207,206,205,203,220,221,220,246,253,230,181,143,131,130,126,120,138,213,220,218,215,216,215,214,214,213,211,210,209,208,207,205,222,221,230,254,249,214,169,142,129,128,126,126,182,221,221,220,218,217,217,216,215,214,213,212,210,209,208,207,223,223,247,254,241,196,155,137,131,126,126,131,212,222,222,222,220,219,218,217,216,216,214,214,213,211,209,209,224,234,254,253,227,183,147,134,130,129,125,151,225,223,224,223,222,221,220,219,218,217,217,215,213,212,210,209,224,248,254,247,211,167,138,132,129,126,115,171,227,226,225,225,223,222,221,221,219,216,212,207,210,214,213,212,235,254,254,235,191,152,137,128,121,116,111,139,220,228,225,225,224,224,223,220,210,194,186,176,161,209,214,214,250,254,249,217,180,153,139,123,112,113,116,118,153,216,227,226,226,225,223,200,195,185,170,148,159,211,216,215,254,254,242,206,180,157,137,116,109,117,119,126,134,146,184,210,203,195,197,189,194,170,154,188,214,218,217,215,254,253,238,204,176,154,132,115,116,129,136,147,154,149,146,169,177,189,193,192,182,153,202,221,221,220,219,218,196,203,208,190,168,143,125,118,126,139,153,158,166,165,157,180,181,186,184,170,151,176,223,224,222,221,220,219,99,98,89,87,98,96,98,108,128,145,156,164,168,168,159,172,166,163,166,181,200,222,226,225,224,222,220,219,95,86,70,67,74,70,62,67,95,136,153,162,162,159,145,151,176,208,222,228,228,227,227,226,225,224,223,221,91,81,68,69,73,66,59,56,57,85,144,154,151,149,178,213,231,232,232,232,232,231,229,227,227,226,225,223,87,77,69,70,69,62,57,52,53,56,99,147,175,218,233,235,235,234,234,233,231,230,230,228,227,227,225,224,82,77,69,71,67,60,54,51,54,54,94,215,235,236,236,236,236,237,235,234,234,232,231,230,228,228,226,225,81,75,69,69,65,59,53,51,55,55,175,238,237,237,237,237,237,236,235,235,235,233,233,233,230,229,228,227
7,134,145,153,158,162,164,165,166,169,171,172,173,173,175,175,176,175,175,174,174,173,171,170,169,167,167,165,163,135,146,153,158,163,166,166,167,170,173,174,175,176,176,177,177,176,176,176,175,174,173,171,170,169,169,167,165,137,148,154,159,164,166,168,169,172,174,175,176,177,178,179,179,178,178,177,177,175,174,173,172,171,170,169,167,138,148,156,160,164,167,169,171,173,174,175,177,179,180,180,180,180,179,180,179,177,176,175,175,173,172,171,169,139,148,156,161,165,168,170,172,175,175,177,179,179,181,181,181,181,181,180,180,179,177,177,176,175,173,172,170,140,149,157,162,166,169,170,173,176,177,179,180,180,181,181,182,182,182,180,180,180,179,178,177,176,174,173,171,141,150,157,163,168,170,170,173,176,177,179,180,181,183,184,187,188,188,186,185,184,184,181,180,179,176,174,173,141,150,157,163,168,171,172,177,180,182,183,183,181,180,176,170,162,160,159,161,150,139,152,155,165,178,174,174,142,150,158,163,168,172,171,160,154,148,147,147,141,129,123,129,106,109,116,115,112,111,152,147,134,182,176,175,143,151,159,163,168,170,156,128,115,123,124,128,128,121,114,106,102,102,106,99,107,104,113,107,136,178,180,177,144,151,159,163,167,161,146,118,100,106,108,110,113,116,117,117,119,104,105,114,108,105,99,93,109,126,152,180,144,152,159,159,156,146,140,125,112,107,114,123,127,129,129,125,120,96,97,116,106,98,98,90,102,117,113,177,148,158,155,153,146,145,143,131,125,126,130,137,128,126,123,118,100,88,88,90,84,80,80,78,82,93,132,182,163,158,155,153,152,150,137,113,96,104,115,116,105,98,95,90,86,100,113,128,136,145,150,154,157,164,180,181,164,160,160,157,149,133,128,96,82,96,93,77,97,138,149,165,174,185,192,196,196,194,193,192,190,187,182,181,162,161,159,146,131,128,118,93,83,74,65,58,73,106,107,150,201,192,189,188,188,187,187,185,184,183,182,181,164,162,149,134,125,119,121,120,99,73,70,75,71,63,55,58,179,195,191,191,190,189,189,188,187,184,183,182,161,148,130,124,122,121,129,133,107,75,73,76,76,75,70,70,181,195,191,191,191,191,189,189,188,187,185,182,141,129,119,118,115,110,115,111,84,69,63,62,69,69,66,61,172,197,191,192,192,191,189,189,187,187,185,182,128,122,118,117,112,100,98,90,76,61,54,65,73,74,63,68,171,198,191,193,192,191,189,189,187,187,184,182,123,117,112,106,98,87,85,91,88,71,73,81,79,64,79,178,197,193,193,193,192,191,189,188,188,187,185,183,112,103,99,96,94,93,100,107,95,76,68,67,74,93,170,199,192,193,193,192,192,190,189,188,188,186,185,183,108,105,104,99,95,96,99,95,75,71,114,146,170,191,194,189,192,191,191,191,190,189,188,186,186,185,183,182,102,103,101,95,87,83,79,79,102,159,191,194,192,189,189,192,192,191,191,190,190,189,188,187,187,185,183,181,76,77,89,88,89,96,124,160,184,188,184,185,188,189,190,192,192,192,191,191,190,188,188,187,186,184,183,180,36,40,151,152,161,172,180,181,180,182,184,187,188,188,189,190,189,189,189,189,189,188,187,186,184,182,181,179,17,54,163,162,170,171,172,176,180,183,185,188,190,191,191,192,191,191,192,191,192,191,189,189,186,185,185,182,10,83,178,163,166,167,168,168,169,170,168,168,169,170,169,166,164,164,162,159,156,154,152,149,146,141,137,110
1,1,26,30,38,48,67,79,89,94,98,101,103,106,111,115,115,118,123,122,122,125,126,126,128,128,129,129,129,7,26,31,39,50,71,81,89,95,99,103,105,107,112,113,130,100,85,129,126,125,128,128,129,129,129,129,129,12,26,33,41,51,72,82,90,96,100,105,107,112,115,116,144,86,50,109,104,131,128,130,131,131,131,131,131,17,27,34,42,55,74,83,91,98,102,106,107,111,122,101,137,84,72,101,62,133,130,131,132,133,132,131,132,20,27,35,43,57,77,86,93,98,103,107,109,114,135,78,129,80,83,115,57,125,133,133,134,134,133,134,134,22,29,35,44,59,79,88,95,100,105,109,106,126,126,76,136,82,86,118,53,118,137,133,135,136,136,136,135,24,31,36,45,62,81,88,96,101,106,110,108,133,115,68,131,77,87,125,59,116,140,136,137,137,138,137,137,26,31,38,47,65,82,90,98,102,104,125,104,113,106,70,134,78,85,117,57,114,142,137,139,139,139,139,138,26,31,39,48,67,81,91,99,103,106,137,75,113,90,93,141,72,89,128,55,113,144,138,140,140,140,141,140,27,33,41,49,70,82,91,101,101,119,131,59,117,76,116,136,64,106,143,58,114,145,140,141,142,141,143,142,28,33,41,52,73,83,91,101,99,138,113,63,132,77,104,110,47,112,127,56,119,147,142,143,144,144,144,144,29,34,43,54,73,85,93,101,103,148,93,62,122,54,93,91,43,125,118,51,125,147,143,144,144,145,144,145,29,36,44,55,75,85,95,99,113,152,84,54,105,94,96,104,119,128,110,50,130,147,145,147,145,146,146,146,31,37,44,57,77,86,97,96,130,144,79,70,113,138,95,109,119,114,98,48,133,148,146,147,146,146,146,146,32,37,45,60,79,88,97,96,143,144,125,115,134,135,127,115,97,91,77,47,132,149,146,147,149,149,149,148,32,38,46,61,80,89,96,104,158,127,114,116,108,98,141,144,129,99,71,44,133,150,147,149,150,150,150,150,34,40,46,62,80,90,92,127,158,107,83,76,60,58,133,135,130,115,85,43,134,150,147,150,150,151,151,151,34,41,48,65,83,92,90,143,148,101,97,104,89,124,151,139,115,97,73,30,118,156,149,151,151,152,153,152,34,41,48,67,84,92,92,147,153,117,99,103,131,176,156,129,107,71,55,26,84,162,149,152,153,153,153,153,34,42,48,68,83,93,94,144,166,132,111,104,137,180,160,124,100,63,42,27,69,161,150,153,154,154,154,154,35,42,49,69,82,92,95,136,166,132,117,108,131,172,150,123,89,62,39,22,94,162,151,155,154,154,155,155,36,44,52,71,84,94,97,128,162,131,124,111,118,158,143,114,81,59,38,35,140,158,154,155,156,156,157,157,36,43,53,72,84,93,99,118,157,138,134,122,134,152,124,96,71,54,28,79,162,154,157,156,158,158,158,158,36,44,53,74,84,93,102,110,142,138,132,118,132,138,108,83,64,48,28,123,161,156,157,158,159,159,160,159,38,44,53,75,86,96,103,106,131,135,128,115,106,111,97,75,66,44,39,145,159,158,159,160,160,160,160,160,37,42,52,72,82,94,102,105,118,132,125,113,105,106,103,87,66,35,54,156,154,156,158,160,160,160,159,159,35,41,52,73,80,91,101,107,120,137,133,123,116,105,103,91,61,29,80,162,151,155,157,158,158,159,159,159,35,40,52,72,80,92,102,104,151,137,128,134,118,102,84,75,57,22,83,163,151,155,158,159,159,159,160,160
12,195,196,198,199,201,201,202,203,203,203,203,204,204,205,206,205,205,206,206,205,205,205,206,205,205,204,203,203,197,199,200,200,201,202,203,205,204,205,205,205,205,206,206,207,207,208,208,207,207,207,207,206,206,205,205,204,199,200,201,202,203,203,204,206,206,206,206,207,208,212,209,200,204,208,209,208,208,208,208,208,207,207,207,206,201,202,203,204,205,206,206,207,207,213,218,208,205,228,218,183,170,210,212,194,201,208,208,209,209,208,208,208,201,202,204,206,207,208,207,207,212,243,238,206,189,234,223,174,130,198,213,174,163,207,211,210,210,210,210,209,202,203,205,207,208,209,208,207,218,253,242,203,183,237,222,181,128,200,202,163,128,191,214,211,211,210,210,210,203,205,207,208,208,210,209,210,221,243,239,207,178,237,221,189,150,211,194,147,114,170,216,212,213,212,212,213,205,207,208,208,209,209,220,234,209,206,227,223,168,224,231,182,164,216,197,144,106,157,216,214,214,213,213,213,205,207,209,210,210,212,243,241,203,167,194,196,147,198,213,152,164,219,176,128,101,150,216,215,215,215,215,214,207,209,210,211,210,224,252,245,216,164,166,159,111,128,143,130,170,189,137,108,103,147,218,217,217,216,215,214,209,210,211,211,211,235,248,245,222,180,146,144,106,94,107,183,212,196,156,144,137,155,220,218,218,217,216,215,210,211,213,213,213,240,232,236,227,193,151,113,122,119,183,240,241,221,189,178,162,162,221,219,219,217,217,217,210,212,213,213,217,249,243,220,219,197,158,115,115,167,247,251,242,223,196,173,150,146,218,221,220,218,218,218,212,214,215,214,227,254,246,214,206,198,171,135,114,221,255,251,241,223,197,165,139,143,220,222,222,220,219,220,213,215,216,215,228,254,250,230,198,190,196,173,151,247,254,251,241,221,187,159,133,142,221,222,223,222,221,221,213,215,217,217,224,254,252,233,205,183,183,197,216,254,252,250,240,215,185,157,133,132,218,225,223,223,222,221,215,216,217,217,225,254,253,241,225,214,194,224,242,254,248,246,239,211,188,153,128,131,218,226,224,223,223,223,216,217,218,218,228,254,254,249,238,231,215,226,237,253,244,239,232,213,182,147,121,150,226,226,226,225,225,225,216,217,219,220,227,254,255,252,244,233,221,225,228,247,239,229,222,210,170,136,117,190,229,226,227,226,226,225,217,218,220,222,224,250,255,253,245,229,217,224,226,240,232,221,216,197,155,122,137,222,229,227,227,227,227,227,218,219,221,224,223,242,254,250,241,223,212,219,225,235,230,218,205,178,137,113,187,231,229,228,228,227,228,227,220,221,222,224,221,236,246,230,222,212,207,214,219,230,221,204,186,155,115,144,226,231,231,229,228,229,229,228,206,196,187,179,165,160,158,142,134,132,127,129,123,124,120,114,112,105,94,179,231,232,232,231,230,230,231,230,157,148,142,137,122,111,108,101,92,84,79,75,64,61,61,58,55,55,58,85,136,214,232,231,230,230,229,229,151,139,138,131,120,111,106,100,91,83,79,72,63,60,58,56,52,50,49,47,59,197,232,230,230,229,228,228,171,138,138,131,120,112,103,98,90,82,78,70,62,60,60,57,52,48,48,44,120,229,231,231,230,229,229,229,188,140,137,128,120,112,102,96,88,81,76,69,62,61,60,57,51,46,46,48,185,237,233,232,231,231,232,231,198,142,135,129,121,112,104,95,88,79,73,69,63,61,59,56,51,46,47,61,209,236,235,235,233,232,232,232
20,123,125,126,125,126,126,125,126,126,125,126,125,124,126,125,122,121,120,119,118,116,114,113,112,110,110,108,107,127,128,128,129,129,128,128,129,129,129,129,128,132,118,115,127,123,123,122,120,119,117,116,114,113,112,110,109,130,131,132,131,132,132,131,131,131,132,132,130,145,116,82,131,128,125,125,123,122,121,119,117,116,114,113,112,134,134,135,134,135,135,135,135,135,135,136,133,141,126,65,75,105,132,127,126,125,123,121,120,118,117,115,113,137,137,138,138,138,139,138,138,138,138,139,136,146,123,54,82,75,125,132,129,127,126,125,123,122,120,118,116,139,140,141,141,141,142,142,141,141,142,141,139,150,113,51,118,82,105,140,132,131,129,128,125,125,123,122,119,142,143,144,144,144,144,143,144,144,145,145,142,155,119,61,129,85,90,143,134,134,132,131,129,127,126,123,123,145,146,146,146,147,147,147,147,147,147,147,145,161,114,62,133,105,86,144,137,137,136,135,132,129,129,127,126,147,148,148,148,149,149,149,149,149,150,149,153,162,95,65,142,112,79,144,140,139,138,137,136,132,131,129,129,149,150,151,151,152,151,151,151,152,151,143,154,165,94,83,155,108,72,144,144,141,140,139,137,135,133,132,129,153,154,154,154,154,154,154,154,154,153,137,126,139,107,81,147,112,72,144,144,143,142,141,139,137,135,138,114,155,156,156,156,157,156,156,156,155,157,167,154,119,97,76,133,125,81,141,148,145,144,143,142,140,137,138,125,158,158,158,159,158,158,159,158,160,151,131,154,127,129,83,109,118,78,138,152,148,147,145,144,141,140,139,130,160,159,159,159,159,160,160,161,159,163,114,89,136,143,73,60,83,66,133,156,149,149,147,146,143,141,140,132,161,160,159,160,160,161,161,162,161,168,119,42,125,139,95,58,55,50,125,159,151,149,149,148,144,142,141,140,162,162,161,161,161,162,161,163,162,162,122,69,90,130,120,84,79,40,114,163,152,151,150,149,146,144,143,141,163,163,163,163,164,164,164,165,157,156,129,105,61,69,118,105,89,39,96,166,153,153,152,150,148,146,144,142,165,165,165,165,166,165,166,161,157,144,142,129,90,67,89,111,94,50,78,168,155,155,154,152,150,148,145,142,166,166,166,166,166,166,165,158,142,100,110,133,110,69,69,105,123,79,56,155,160,156,155,154,152,149,147,145,167,168,168,168,167,169,165,157,150,112,53,93,107,54,54,89,133,109,50,105,169,156,156,155,152,151,148,147,168,169,169,169,169,170,167,157,140,116,78,56,86,60,55,125,146,128,63,72,168,158,158,157,154,152,150,149,169,170,171,170,171,171,169,155,153,142,86,62,89,81,98,160,148,115,55,84,170,158,159,157,155,154,152,150,171,171,172,172,172,173,172,153,157,144,97,78,95,147,164,156,129,102,40,115,171,159,159,158,155,155,152,150,172,172,172,173,173,174,174,153,150,140,112,79,97,167,164,141,110,88,44,145,167,160,160,160,157,155,153,150,172,172,172,172,173,174,175,152,137,133,113,83,94,155,147,126,97,68,58,165,164,161,161,160,157,156,159,158,172,172,172,172,173,174,175,159,137,134,114,96,97,153,144,115,85,46,88,175,161,161,159,158,162,159,141,108,173,173,173,173,174,174,175,171,141,132,120,103,88,142,132,99,66,39,142,170,162,162,164,158,137,84,43,39,173,174,174,174,175,176,176,173,150,135,120,100,83,111,103,73,40,72,173,164,164,158,127,80,43,30,27,35
15,141,153,162,171,178,179,183,190,195,199,204,209,213,217,220,224,226,229,232,233,235,236,237,239,239,240,242,241,143,155,164,172,180,181,184,191,198,202,206,211,214,217,222,226,230,233,234,234,236,238,238,240,241,242,244,244,145,156,166,175,183,185,187,193,201,204,208,212,217,220,224,228,231,234,234,236,237,239,240,240,241,242,244,246,146,158,167,176,182,184,187,196,202,205,211,216,219,223,226,229,232,236,237,238,240,242,243,242,244,246,245,247,148,160,170,178,183,183,189,198,203,207,213,217,219,224,227,231,235,237,239,240,242,244,245,245,247,249,248,248,149,161,172,180,185,187,191,199,206,211,215,218,221,226,229,233,235,239,240,241,243,245,247,248,249,250,250,251,150,162,173,180,183,188,193,200,207,212,216,220,224,229,231,233,237,240,242,243,246,247,249,251,251,251,252,253,151,163,173,186,248,223,206,204,206,214,218,223,227,233,233,237,241,242,244,246,248,249,251,252,253,253,253,254,152,167,171,200,255,233,220,218,211,222,221,220,218,223,233,241,242,245,247,248,248,250,251,253,254,255,255,255,154,167,176,185,219,218,210,203,203,228,225,221,213,198,212,224,230,239,246,248,253,255,255,255,255,255,255,255,155,167,179,187,190,194,192,184,191,208,211,213,211,214,222,212,216,222,234,235,225,236,254,255,255,255,255,255,158,170,181,189,194,197,201,208,210,212,207,198,197,209,214,208,203,200,224,236,224,209,198,239,255,255,255,255,159,172,182,189,195,198,203,211,218,223,227,224,220,216,208,196,186,198,222,233,243,207,198,183,230,255,255,255,159,172,183,191,197,200,205,212,217,224,228,233,238,240,239,230,220,235,232,226,234,225,210,217,181,220,255,255,162,174,186,192,199,202,206,212,219,225,230,235,238,244,242,255,255,255,225,181,232,231,206,231,210,170,226,255,163,175,186,194,200,201,206,214,220,226,232,235,255,230,206,224,255,250,205,144,223,231,211,230,228,202,160,228,164,177,187,195,201,202,207,215,222,228,232,243,255,227,192,230,255,255,203,179,205,217,225,226,218,201,173,155,167,179,188,198,203,204,209,217,223,230,235,243,242,202,195,240,255,255,196,190,192,190,207,214,189,190,180,165,167,179,191,200,203,206,211,217,224,232,236,238,249,248,207,232,255,230,202,202,204,201,207,210,178,171,180,176,167,180,191,200,201,205,212,219,226,232,237,238,253,255,255,173,155,158,175,208,216,212,220,215,188,178,180,177,168,181,193,200,203,206,213,221,227,232,239,242,246,255,255,194,106,76,68,92,158,212,214,210,196,196,184,169,169,181,194,201,204,206,214,221,228,234,241,243,245,255,255,187,129,119,90,58,63,169,200,190,180,162,141,122,169,182,194,201,204,206,215,223,229,235,241,246,243,255,255,161,169,171,154,116,87,97,142,129,113,96,92,82,170,183,195,202,204,206,215,224,231,237,241,247,243,255,255,174,209,204,191,185,150,106,98,94,93,88,89,87,169,183,195,202,205,208,215,223,231,235,241,247,245,255,255,185,199,218,199,173,127,101,99,97,99,91,91,87,170,184,195,202,203,207,214,223,230,235,241,245,246,255,255,192,195,255,244,157,111,94,98,98,97,91,90,88,171,184,195,202,204,208,216,225,231,237,241,247,248,255,255,166,215,255,255,148,102,95,98,97,94,91,92,92,173,186,196,203,205,210,217,225,231,238,242,248,249,255,230,195,255,255,255,152,114,104,102,94,91,92,93,93
1,80,102,103,108,115,132,151,164,168,175,181,184,189,197,197,201,201,202,205,205,206,207,208,209,209,209,210,208,88,103,105,110,116,135,155,167,172,179,186,187,200,221,158,197,207,208,207,209,209,208,209,210,209,210,209,209,95,103,106,111,117,138,159,170,176,184,192,192,213,233,136,157,167,200,218,214,214,214,214,212,212,212,210,211,101,104,109,113,119,141,163,174,181,185,223,192,180,239,138,147,160,157,229,218,221,221,220,219,216,215,214,214,105,105,109,114,122,146,165,176,184,187,240,197,149,233,138,140,178,126,221,227,226,226,225,224,222,221,220,219,105,106,111,115,126,150,169,180,187,191,240,206,140,214,143,135,180,118,206,239,230,232,231,229,228,227,226,224,107,107,112,115,129,154,173,182,190,195,243,208,126,201,164,141,190,131,190,246,235,237,237,235,233,232,231,231,108,108,113,116,133,159,177,184,198,212,217,213,124,167,157,136,196,139,176,254,240,242,242,240,238,239,238,236,109,108,114,118,137,163,181,183,216,215,193,214,126,150,160,121,188,143,169,255,245,247,247,244,244,243,242,240,110,111,115,118,139,166,185,183,240,209,174,212,126,165,176,123,210,172,166,255,249,250,249,249,249,248,246,245,111,113,117,120,142,169,188,189,244,192,162,229,140,155,172,125,209,188,158,255,254,254,254,253,251,251,250,249,111,113,117,121,146,173,191,193,245,188,145,222,146,124,156,134,201,188,143,255,255,255,255,255,254,254,255,254,111,113,116,122,150,176,193,198,250,192,125,197,137,114,147,152,216,188,139,252,255,255,255,255,255,255,255,255,112,113,116,124,153,178,196,201,255,209,117,182,185,176,170,191,220,161,126,239,255,255,255,255,255,255,255,255,112,114,116,126,157,182,200,204,253,208,128,192,234,191,174,183,185,158,113,208,255,255,255,255,255,255,255,255,112,114,116,128,159,186,204,207,253,218,180,185,157,172,163,162,153,166,148,173,255,255,255,255,255,255,255,255,112,115,116,130,164,190,205,211,255,237,185,164,140,164,166,178,167,193,193,152,213,255,255,255,255,255,255,234,111,115,117,133,167,193,206,216,255,236,181,151,147,167,175,239,228,209,231,197,137,240,255,255,253,197,131,89,112,115,117,136,170,197,208,220,255,232,170,146,154,174,208,255,255,220,246,200,124,185,255,173,99,79,74,79,111,114,116,138,173,198,211,219,255,239,172,148,163,184,225,255,255,255,220,162,120,175,161,85,77,73,86,71,109,112,114,139,174,199,211,218,255,245,181,149,168,194,237,255,255,254,204,151,129,105,73,96,93,55,82,82,110,112,114,141,177,203,213,219,255,252,205,156,170,197,238,255,255,236,195,152,124,96,78,67,98,63,57,86,103,106,109,140,178,204,216,221,252,253,223,169,171,196,238,255,250,220,184,146,121,94,83,53,78,84,46,69,122,119,120,146,181,206,218,225,246,247,231,184,175,189,238,255,240,214,172,139,116,95,74,60,55,87,57,51,157,156,157,156,157,166,172,176,186,237,236,193,189,184,226,243,231,203,162,134,109,90,82,59,48,75,72,41,151,151,152,153,153,155,155,158,152,207,241,204,193,183,203,230,215,186,149,125,102,68,85,64,42,66,82,47,153,153,156,157,159,160,162,163,161,172,228,209,194,186,178,206,196,166,134,113,103,70,73,65,44,55,83,64,152,154,154,156,157,159,160,162,164,159,206,220,197,191,171,180,185,155,124,102,104,84,57,42,54,47,78,76
6,216,218,219,221,221,221,221,221,222,223,223,223,223,223,223,223,223,222,222,220,220,219,218,218,215,215,214,213,218,219,220,222,222,222,223,222,222,224,225,224,224,224,224,224,224,223,223,222,221,221,220,219,218,217,216,216,219,219,221,222,223,224,224,224,224,224,225,224,223,225,226,226,225,225,225,224,223,223,221,221,220,218,218,218,220,221,223,223,224,225,226,224,224,224,225,225,225,226,226,226,225,225,224,224,223,223,222,222,221,220,220,218,223,223,224,224,226,226,226,226,226,226,226,227,227,227,228,228,228,228,227,226,225,224,222,223,222,220,219,218,224,224,225,226,227,226,227,228,228,228,228,228,228,228,228,228,229,229,228,227,226,225,225,224,224,223,222,221,224,225,227,228,228,229,229,229,228,228,230,230,229,229,230,230,230,230,229,228,227,226,225,223,223,223,222,222,225,227,228,227,228,230,230,231,230,230,231,231,231,230,230,230,230,231,231,231,228,227,228,226,225,224,224,224,226,228,229,229,229,231,231,230,231,231,232,232,230,231,231,230,230,229,230,229,228,227,227,226,224,224,222,223,228,229,230,230,230,231,231,233,234,236,237,233,225,211,219,227,229,226,226,226,226,221,222,220,218,223,212,241,228,229,231,232,233,235,235,235,231,230,231,229,223,204,182,211,224,227,227,226,215,218,217,216,216,218,208,217,232,235,234,233,230,230,230,228,223,223,227,227,231,221,170,164,176,185,187,188,190,186,185,188,189,189,191,195,244,241,234,225,223,224,223,221,215,217,215,210,207,192,170,161,148,148,183,194,203,208,213,220,224,224,225,230,242,239,233,223,219,215,210,209,212,209,204,202,205,186,161,160,167,163,196,241,240,237,236,236,234,232,232,228,240,235,231,222,214,208,207,207,208,208,209,215,227,211,164,146,156,172,159,177,229,236,233,234,233,235,221,174,236,231,225,220,211,203,198,198,203,209,215,216,214,202,174,162,158,159,168,159,176,238,236,236,233,238,175,153,232,227,224,224,215,206,200,197,200,202,208,221,207,181,175,177,173,165,157,160,163,231,236,232,239,223,159,159,229,223,223,222,216,211,205,202,202,200,199,210,216,187,155,160,182,182,170,149,184,242,236,243,220,164,151,138,222,220,218,217,216,214,209,204,204,204,205,217,212,183,164,152,160,177,183,163,181,235,207,197,166,142,140,127,173,184,199,214,219,220,216,209,207,204,203,214,212,186,170,175,169,158,164,170,165,170,155,147,140,134,126,122,109,113,131,173,222,220,217,213,210,206,201,196,199,188,186,188,180,172,165,149,145,145,153,149,140,132,121,116,107,101,97,100,159,215,201,192,189,186,185,175,172,161,162,181,184,184,171,144,119,129,142,136,133,131,127,118,101,97,97,98,92,138,200,202,207,211,218,227,171,136,139,153,177,171,159,149,122,114,131,130,126,127,132,122,96,92,90,90,86,187,235,233,237,239,239,243,223,187,182,175,172,134,151,147,119,109,113,126,123,121,128,127,92,88,86,77,108,176,167,169,170,171,174,176,180,183,183,181,161,120,145,146,116,104,107,116,118,119,125,127,88,86,84,80,102,158,154,153,154,153,156,157,153,151,167,172,148,112,141,139,112,100,109,110,113,114,119,123,90,88,90,76,105,169,162,162,162,162,159,160,163,168,157,148,139,113,133,131,111,98,103,110,109,111,114,119,95,94,88,69,125,169,161,162,163,164,161,161,162,152,140,129,129,117,125,128,108,100,100,106,105,108,111,116
2,113,120,130,148,155,161,167,171,172,175,179,182,184,187,189,190,192,193,194,196,196,196,197,197,197,198,198,197,114,121,133,149,156,162,168,172,174,176,179,182,186,189,190,192,194,194,195,197,198,198,199,199,198,200,200,200,115,122,135,150,158,164,170,173,175,179,178,184,184,176,187,191,192,195,198,201,199,200,200,201,201,201,200,200,116,123,138,152,160,166,172,174,175,179,185,215,205,187,184,178,180,192,188,188,200,202,202,203,202,202,202,202,118,125,142,153,161,166,170,175,181,171,197,216,211,220,219,197,172,161,173,155,157,201,205,202,203,202,202,203,119,126,143,154,162,168,167,208,213,202,204,195,181,179,193,213,193,149,125,156,185,169,195,206,203,204,204,204,118,126,144,154,163,163,187,231,207,211,219,217,205,173,140,145,192,175,133,131,174,132,169,212,203,205,206,205,120,129,146,156,164,165,215,193,174,183,190,183,192,201,169,164,154,177,185,166,124,149,199,205,204,206,206,206,121,131,147,157,161,176,205,200,201,193,176,164,187,183,189,194,157,125,172,168,126,198,209,205,205,207,208,207,123,131,150,158,167,212,213,215,207,200,195,190,194,147,124,147,128,144,148,137,159,207,206,206,205,208,208,207,123,133,152,154,207,217,192,181,163,142,148,150,137,123,109,117,181,207,202,197,208,207,207,209,208,208,209,208,122,136,148,170,230,186,149,129,110,106,108,108,117,115,108,124,208,203,207,210,208,211,212,206,206,212,209,209,123,138,145,206,211,163,133,107,98,109,107,105,114,113,104,117,205,206,206,207,213,193,165,155,152,180,212,208,126,134,172,233,176,140,117,107,105,105,105,111,110,105,100,104,201,208,208,213,174,141,150,158,159,136,200,213,129,131,208,218,160,136,124,116,104,102,107,109,106,104,110,95,177,215,213,181,142,164,173,172,154,139,206,213,128,135,213,199,155,135,123,108,98,102,106,110,109,110,111,106,125,214,207,142,165,176,171,151,154,198,216,212,127,140,214,193,156,131,111,101,100,101,107,115,115,116,119,124,114,126,163,151,170,168,139,165,216,217,213,214,128,143,216,191,152,123,108,105,100,103,113,117,122,127,134,139,138,105,139,167,159,135,129,213,218,214,216,215,127,146,217,190,160,134,117,107,100,105,115,126,135,141,146,148,150,127,152,162,146,117,167,224,214,217,216,216,127,152,214,183,161,136,122,114,103,105,116,135,148,150,154,157,159,138,146,162,140,125,204,221,217,218,218,217,129,151,209,180,161,139,129,122,108,106,121,146,155,159,163,167,161,147,135,162,131,134,221,218,219,218,219,219,131,149,203,179,161,147,136,125,110,106,126,152,160,164,165,167,158,143,136,132,131,191,224,219,222,222,221,220,132,148,195,177,163,152,137,124,113,108,128,151,156,159,158,157,150,137,123,156,210,225,221,222,223,223,222,221,134,144,189,180,162,150,135,123,115,115,134,146,148,147,149,149,140,119,161,227,222,219,222,222,222,222,222,221,134,142,188,185,163,148,132,126,121,122,141,142,143,143,144,137,121,151,216,217,217,218,221,221,221,222,222,221,134,144,198,185,161,146,138,133,128,124,138,136,136,134,122,132,173,217,218,218,219,220,221,222,222,223,221,220,130,181,198,191,165,149,144,136,129,119,120,122,120,124,166,204,220,216,218,219,220,221,221,222,223,220,223,229,149,209,164,185,171,147,136,129,121,115,114,114,105,134,218,213,213,217,217,219,220,221,221,223,222,224,223,226
24,154,159,164,167,170,171,174,177,178,180,182,185,186,187,188,191,192,193,197,197,197,198,199,199,198,200,200,201,154,159,162,165,170,172,175,178,179,182,182,186,187,189,191,193,193,194,197,197,198,200,200,200,201,202,203,203,156,160,163,167,171,173,176,178,181,184,185,187,190,191,192,194,194,196,198,198,200,200,201,202,203,204,203,203,156,161,164,168,170,173,176,179,181,184,186,189,191,192,194,197,195,196,199,200,202,203,203,205,204,204,204,204,156,162,165,169,171,174,178,180,182,185,187,189,192,194,194,197,198,197,199,202,203,204,204,205,205,204,204,203,157,162,166,171,175,176,179,181,184,186,188,189,193,193,194,195,200,202,201,203,204,204,204,204,204,205,206,205,160,161,177,167,147,180,178,182,185,188,189,191,191,191,200,199,196,188,204,204,205,205,204,204,206,207,206,207,160,159,185,186,125,169,182,182,185,188,191,193,194,172,150,199,197,152,152,208,204,205,205,206,207,207,206,207,160,162,169,189,140,136,187,182,185,190,163,186,214,181,129,171,206,166,108,156,214,205,207,208,208,209,209,207,160,164,166,184,176,133,172,184,196,206,169,156,214,186,143,158,210,172,119,101,209,207,208,210,208,209,197,174,159,164,170,175,205,172,135,179,211,222,184,146,202,197,145,139,208,165,118,81,189,213,207,207,210,202,164,130,160,165,170,169,194,189,142,154,198,232,201,154,166,210,155,119,190,149,108,70,173,216,205,210,202,186,147,113,160,166,170,172,175,192,199,178,176,213,210,160,129,186,164,109,153,138,109,72,128,219,209,192,182,170,121,137,160,167,170,173,173,190,205,196,199,208,194,155,110,152,160,106,121,157,119,78,85,187,188,174,171,138,101,188,161,166,170,173,178,178,199,201,195,203,192,154,130,123,175,127,118,195,127,87,135,150,173,175,141,96,163,219,161,167,170,173,179,177,193,215,188,169,168,167,166,120,181,164,94,174,134,163,190,172,163,149,109,135,218,210,161,167,171,174,177,178,189,212,170,159,157,167,165,136,160,151,101,165,204,203,183,164,142,124,112,209,213,212,162,167,172,176,178,180,186,222,193,170,152,154,162,179,159,152,189,211,201,192,177,157,134,105,166,220,210,212,162,168,172,175,178,184,182,225,216,186,158,147,177,194,204,218,220,206,196,185,169,147,113,119,217,214,214,214,163,168,172,175,178,184,182,223,228,194,180,159,165,190,211,231,216,204,200,184,154,127,97,169,221,211,213,213,163,168,172,175,180,182,179,214,235,203,195,181,166,191,209,225,215,208,199,176,150,111,119,216,212,213,213,214,164,170,172,175,178,181,184,196,231,216,201,194,178,188,207,219,214,203,189,171,153,100,182,221,213,214,214,214,163,168,173,176,178,181,185,187,209,221,209,191,179,186,204,212,205,191,173,162,121,139,220,212,215,214,215,214,163,167,172,175,177,182,187,187,199,224,206,190,178,189,196,199,193,179,158,135,110,203,216,212,215,215,217,217,161,167,171,173,176,181,184,186,194,211,192,188,181,184,189,194,188,174,151,109,153,224,210,213,214,214,213,215,159,165,169,172,175,179,182,184,193,198,188,198,194,194,196,191,180,166,141,104,191,216,210,212,212,212,212,213,159,164,169,171,173,178,181,182,192,214,206,213,202,200,192,184,174,159,126,111,207,210,210,210,211,212,213,213,158,163,169,170,172,178,181,181,193,229,211,210,203,198,184,178,174,151,113,123,216,208,210,210,211,211,213,212
18,86,89,91,94,97,103,106,111,116,121,127,130,133,136,138,139,141,144,145,148,150,152,154,155,157,158,158,160,86,89,91,95,99,103,105,110,116,122,127,131,135,136,137,139,143,145,146,149,150,152,153,155,157,157,159,161,87,89,92,95,98,104,106,111,117,123,127,132,136,137,138,140,144,146,147,150,152,154,155,156,157,158,161,162,88,90,93,95,99,104,106,112,119,124,128,133,137,138,139,141,143,146,149,152,153,155,157,157,157,159,161,163,88,90,93,96,100,105,107,112,119,126,130,134,137,138,141,141,149,146,137,148,156,152,151,161,161,160,162,163,88,90,93,96,101,105,108,113,119,126,132,132,138,144,134,144,177,139,114,107,158,161,129,120,162,163,163,164,88,90,93,95,101,105,109,116,121,128,131,129,180,152,112,149,169,141,137,140,178,160,127,98,109,165,163,164,88,91,94,95,101,106,108,116,118,130,126,157,199,151,121,162,165,145,154,160,159,137,132,124,86,137,171,165,90,92,93,96,102,108,111,111,132,170,127,134,186,151,144,140,149,139,145,147,131,124,139,132,109,105,173,166,90,93,94,98,102,106,112,106,184,185,146,114,156,171,146,119,120,134,117,122,103,139,144,137,129,94,139,178,90,92,95,97,103,107,105,123,200,183,165,140,122,179,148,121,105,158,115,83,96,164,148,150,142,115,94,159,90,92,95,97,103,109,100,147,174,175,179,157,105,141,158,125,91,147,144,103,66,137,152,162,152,126,102,101,91,93,95,99,104,110,101,157,145,141,168,138,101,100,139,113,85,106,120,87,77,137,168,176,155,129,113,95,92,93,94,99,103,109,100,173,169,136,148,102,93,78,101,97,73,76,75,106,175,178,162,162,148,129,116,105,91,93,95,98,104,107,103,183,172,148,151,96,88,69,92,95,65,49,116,188,183,169,163,146,132,120,114,98,91,93,95,98,105,105,119,195,169,143,134,103,84,60,89,87,60,103,191,193,185,169,152,135,115,108,103,104,91,93,94,98,104,105,115,209,185,163,151,129,103,92,93,90,112,181,197,193,183,159,144,126,108,103,93,133,92,93,95,100,104,105,112,207,194,176,164,143,127,131,124,130,175,195,195,189,170,148,134,119,105,97,95,163,91,93,95,100,104,108,111,207,201,182,164,146,137,141,139,160,189,190,188,176,156,140,125,112,104,91,116,180,91,94,95,99,104,109,109,202,200,182,165,154,151,147,152,173,185,189,177,159,149,132,118,111,105,87,147,180,92,94,96,100,105,110,107,187,201,186,172,164,160,157,164,174,178,179,160,144,137,123,112,106,98,101,175,176,92,94,96,102,106,111,107,165,203,189,186,175,163,158,161,164,164,161,148,135,126,115,106,104,90,139,181,173,92,94,97,103,107,110,111,141,201,193,197,183,167,154,145,146,148,145,142,126,115,109,104,95,98,172,176,175,92,94,97,103,105,110,117,119,188,194,188,182,167,150,138,134,139,137,135,122,108,106,105,84,132,180,174,177,92,93,97,102,106,109,120,117,156,192,170,168,161,146,135,132,135,138,137,124,111,107,99,87,164,177,175,179,92,94,97,102,107,108,117,123,131,182,170,155,145,133,132,137,125,130,134,123,110,105,89,105,177,173,175,178,91,94,98,103,105,110,119,128,125,164,158,142,145,136,146,150,126,123,133,123,109,105,83,120,182,173,176,178,90,93,97,102,104,110,118,126,126,151,166,149,156,146,143,146,129,115,127,123,109,101,81,113,182,174,177,178
23,82,85,89,99,110,120,128,131,134,139,146,150,154,157,159,161,164,166,169,169,168,169,169,170,171,170,169,169,82,85,90,101,111,122,129,133,136,142,148,152,156,158,159,162,167,169,169,171,171,171,171,172,172,171,170,170,83,86,91,102,113,123,131,135,136,143,149,154,157,160,162,165,168,169,172,173,173,174,174,173,174,173,172,172,83,86,90,103,114,124,132,136,137,144,150,156,159,162,166,167,169,172,174,174,174,174,174,174,174,174,174,173,85,88,90,103,115,126,133,137,141,147,152,158,160,162,166,168,171,173,173,174,175,174,175,174,175,175,175,172,84,87,93,105,116,127,133,138,142,147,153,158,161,164,167,169,172,174,174,175,178,177,177,176,175,176,175,174,84,87,93,106,117,128,136,137,142,149,155,160,163,166,170,172,174,174,177,178,175,176,174,177,180,176,174,175,85,87,94,107,118,129,136,140,143,151,157,161,165,168,171,174,174,177,178,174,203,213,187,178,174,177,177,175,84,87,95,108,118,129,137,140,144,152,158,164,166,169,173,175,178,177,182,222,238,197,192,168,107,171,181,178,85,87,95,109,120,132,139,142,146,154,160,164,168,172,174,178,177,187,245,215,175,108,139,147,150,183,180,181,85,88,96,110,122,133,141,142,147,155,161,166,169,172,175,179,174,224,255,135,86,153,186,185,189,184,182,182,85,87,96,111,123,134,141,144,149,156,162,167,172,175,178,179,181,246,248,175,189,177,171,188,185,185,184,183,84,87,96,111,123,134,142,144,150,158,163,169,175,174,177,179,206,255,250,253,240,143,133,200,185,187,186,185,84,88,98,111,124,136,144,146,152,159,164,173,170,187,210,219,242,190,215,204,190,124,100,172,186,190,188,187,85,89,99,113,126,138,145,149,154,159,168,168,191,226,220,227,246,200,231,232,199,121,85,140,166,197,189,190,86,89,99,114,127,139,147,150,156,163,167,181,227,206,197,204,204,182,206,221,182,110,76,103,119,203,192,191,86,88,99,114,128,140,148,150,156,165,163,233,253,225,213,215,201,187,187,149,131,110,71,106,87,142,199,192,86,88,100,114,127,140,149,151,157,165,170,250,253,227,187,189,205,201,188,131,106,118,61,102,106,96,177,199,85,87,99,116,128,141,149,151,157,164,173,246,248,210,159,127,140,161,165,116,114,115,53,99,108,116,190,197,86,88,100,116,129,143,149,150,157,164,176,252,252,178,120,98,65,172,164,105,123,90,75,111,106,152,205,197,85,87,102,117,129,142,150,153,161,164,179,255,237,172,124,81,90,173,139,109,96,59,94,119,122,197,201,202,84,87,101,117,130,144,151,153,162,163,189,255,226,169,129,92,82,94,95,75,66,76,94,108,157,211,201,202,82,85,101,117,129,142,149,150,160,160,198,255,219,167,129,89,54,61,67,80,100,102,100,107,189,206,202,202,81,83,99,115,130,143,151,152,162,162,210,255,213,169,129,99,76,89,104,110,117,110,97,149,209,204,204,203,80,84,98,114,129,143,151,153,163,163,209,246,204,164,132,106,88,94,115,120,120,103,118,208,207,206,206,205,78,82,96,114,130,142,151,153,162,163,210,235,193,166,138,113,100,96,118,123,123,97,162,216,205,207,206,205,74,78,94,111,128,142,149,152,161,163,220,224,197,183,153,124,108,97,115,122,111,124,206,210,208,206,206,206,76,81,94,110,125,139,146,150,159,165,235,231,212,198,167,131,113,103,113,114,115,189,212,205,206,205,205,205
21,97,113,132,147,156,160,171,180,187,192,196,199,201,205,207,209,211,212,211,210,210,209,208,207,206,204,203,203,97,115,134,148,156,161,174,183,190,194,198,207,208,208,213,214,216,216,216,216,215,214,213,212,211,210,209,208,99,116,135,150,158,163,175,185,190,203,209,155,193,219,216,218,220,220,220,220,219,221,221,217,217,215,214,213,100,118,137,152,159,165,177,187,191,208,216,146,133,226,218,221,222,223,223,224,227,179,200,226,220,219,219,218,102,120,138,153,160,167,180,189,194,204,224,180,107,203,226,222,226,227,226,227,240,163,132,233,224,224,223,222,103,122,140,155,162,169,181,190,198,202,235,199,110,165,235,225,228,228,229,229,246,182,110,221,232,227,227,227,105,124,142,157,163,171,183,193,201,202,234,216,116,127,235,229,230,230,232,235,249,185,110,202,239,229,230,229,106,126,144,160,165,173,185,194,202,204,224,225,140,110,217,234,232,233,234,238,245,175,112,190,243,232,234,232,108,127,145,162,167,175,188,197,204,209,218,241,180,115,188,241,232,236,236,240,240,180,117,190,245,232,235,235,109,129,148,163,169,178,191,200,206,212,215,248,200,123,154,244,234,237,238,243,243,189,120,197,246,234,234,234,111,132,150,165,169,180,193,201,208,213,213,249,212,128,128,235,238,239,238,248,232,178,122,206,245,238,244,248,113,134,152,168,171,181,193,202,208,215,215,247,227,149,118,214,243,240,240,253,217,167,116,227,255,240,211,168,114,135,154,168,172,184,194,204,210,215,218,239,249,186,128,184,249,240,241,255,222,166,118,194,152,107,82,66,116,137,156,170,174,185,197,206,212,218,220,226,235,195,134,154,248,240,244,254,213,170,110,70,59,61,64,78,117,138,157,171,176,187,199,206,213,217,228,218,169,151,139,131,238,244,247,240,199,161,93,61,62,65,55,62,116,138,157,169,175,186,199,207,212,213,241,229,192,204,137,107,213,246,226,214,186,141,84,54,50,67,63,51,117,139,158,170,175,187,199,206,214,215,249,253,234,232,154,109,135,183,193,193,163,120,63,66,45,53,69,59,118,140,159,170,176,188,200,206,214,215,248,255,253,224,167,123,103,120,163,179,148,109,38,57,64,40,57,64,115,138,160,171,176,188,199,207,220,179,179,225,251,227,201,147,130,125,120,132,130,105,37,34,69,57,43,57,127,142,159,169,176,188,198,212,239,184,155,148,219,196,212,181,161,163,120,90,107,104,50,21,52,70,50,47,123,121,127,131,134,140,132,192,253,225,197,139,146,173,157,186,175,166,146,106,88,93,66,20,34,63,64,52,123,123,124,125,126,131,116,194,228,233,214,163,112,120,126,107,147,172,168,143,108,81,75,29,24,52,66,60,128,130,129,130,132,135,122,197,198,178,221,180,119,85,125,92,86,192,201,178,150,105,78,43,20,39,62,59,128,130,130,131,134,136,124,208,223,168,180,199,131,106,104,114,88,157,234,207,176,137,100,61,23,28,56,61,129,130,130,130,132,135,125,209,222,182,127,157,164,152,113,121,119,164,186,233,200,155,119,91,35,18,46,62,129,130,130,129,132,136,124,195,226,164,123,116,151,175,134,141,153,194,176,216,220,170,130,109,51,16,32,57,128,129,129,130,131,135,124,168,222,170,158,137,124,151,158,173,190,206,236,212,198,148,139,114,60,28,21,45,128,128,129,131,131,133,127,150,232,201,174,141,140,155,178,195,229,231,234,206,173,112,132,108,61,44,19,30
6,232,233,233,233,234,235,236,236,236,236,236,236,235,234,235,235,232,231,233,233,230,227,228,228,226,224,223,223,234,235,236,236,236,236,238,238,238,238,238,238,238,237,238,238,235,234,232,233,233,230,229,229,228,227,225,224,235,236,239,238,238,238,238,239,241,241,241,241,241,241,242,241,239,237,235,235,234,233,230,229,227,227,226,223,236,237,239,239,240,240,240,240,242,243,243,242,240,241,242,241,240,239,237,236,235,234,232,231,229,229,229,226,238,240,240,242,243,242,242,242,243,242,241,242,244,244,243,243,242,241,240,240,238,236,236,233,232,232,229,227,242,241,242,244,245,244,243,243,243,242,242,243,244,244,243,243,242,242,241,241,240,239,237,236,235,233,230,230,242,242,244,244,244,244,245,245,244,244,244,244,246,246,245,245,244,243,241,242,239,239,237,235,235,233,233,233,245,246,246,246,246,246,248,246,245,245,247,248,249,249,250,249,246,246,244,243,243,243,240,239,235,231,233,233,246,246,246,248,248,248,249,251,250,250,244,242,247,246,246,244,245,245,247,236,240,233,236,231,228,255,242,230,247,247,249,249,252,254,255,255,254,245,224,205,230,244,247,244,249,243,233,234,237,232,238,230,233,255,217,228,251,253,254,255,255,250,244,245,248,245,238,190,176,215,229,229,226,219,212,210,204,204,202,202,195,194,211,240,253,248,247,248,247,238,237,242,242,243,244,198,147,143,142,161,166,175,180,181,192,201,207,209,214,228,243,238,244,238,238,237,233,228,229,226,219,213,199,170,156,153,131,163,229,239,244,247,249,252,253,250,248,252,249,247,243,234,226,220,219,223,223,215,212,219,218,170,144,149,166,159,189,252,255,252,251,250,247,249,243,217,200,200,240,229,217,214,216,216,219,219,222,238,243,186,143,131,152,166,149,158,240,255,252,252,251,249,178,140,138,135,237,227,214,205,201,205,216,222,228,226,212,188,162,155,149,147,160,146,181,255,253,248,255,209,138,149,143,139,239,232,220,211,205,205,207,210,227,232,195,164,167,173,170,156,148,139,189,255,248,254,249,171,140,137,134,135,235,230,223,216,211,211,208,204,211,229,213,163,132,157,183,182,161,135,227,255,255,251,164,135,122,105,97,83,228,229,227,221,214,213,214,213,224,233,199,165,152,146,153,170,177,150,195,216,180,156,126,122,108,91,82,73,215,231,232,230,221,216,214,211,216,226,204,174,168,173,161,147,155,155,145,139,135,122,114,104,96,86,76,76,133,213,237,227,224,223,215,210,198,197,194,181,191,189,176,171,151,121,116,131,133,122,114,102,90,82,74,70,59,102,203,210,194,191,183,181,181,164,153,135,157,174,186,179,149,107,87,114,117,108,108,109,99,82,71,68,63,56,78,188,219,219,227,235,249,246,144,128,131,155,170,146,142,113,85,88,109,103,98,106,108,86,73,66,52,36,116,230,236,235,239,240,240,245,223,195,185,173,136,107,143,109,79,72,89,98,93,98,109,96,75,66,40,39,135,149,144,146,149,150,152,155,161,161,174,168,113,97,139,108,72,72,81,87,88,93,104,100,76,67,43,38,125,148,143,142,143,143,144,142,138,152,164,153,101,91,129,100,70,71,79,80,82,86,95,98,80,66,44,36,143,154,150,152,151,147,147,150,158,149,126,119,105,84,121,93,72,61,74,77,78,82,88,95,87,70,27,56,158,151,152,151,153,152,152,147,136,121,118,104,101,85,112,90,71,64,66,70,73,78,85,92,88,73
23,200,202,203,204,206,206,208,210,209,210,210,212,211,212,213,213,214,214,213,213,213,212,212,212,211,211,211,212,202,203,205,206,207,208,211,212,211,212,212,214,215,216,217,216,214,213,214,214,214,214,213,214,214,214,214,214,203,205,207,208,209,209,212,212,213,214,214,215,217,216,214,216,223,234,239,225,209,210,218,214,214,216,215,216,203,205,208,209,209,210,212,215,215,215,215,217,216,223,229,242,250,249,239,226,217,208,199,166,210,217,217,217,206,207,209,210,210,212,213,215,216,215,217,215,225,255,255,235,231,229,195,170,175,169,154,176,219,217,219,218,206,207,209,211,212,213,213,215,216,217,219,212,237,255,236,205,205,173,166,200,193,188,203,223,219,219,219,219,207,208,211,212,213,214,216,217,218,218,220,213,248,255,230,178,157,183,216,225,226,226,224,220,220,220,220,220,208,210,212,214,214,217,218,218,218,220,220,219,255,255,233,186,191,229,227,239,229,210,223,221,221,221,221,222,209,212,213,214,216,217,218,219,221,223,218,228,255,251,241,170,202,251,255,255,241,175,227,230,224,223,224,224,210,212,214,215,217,216,218,221,223,225,216,240,255,245,242,210,255,255,255,249,216,162,165,189,227,226,225,225,212,213,215,217,217,218,221,222,223,224,219,255,255,245,255,255,255,255,242,231,223,231,175,127,203,231,224,226,213,215,217,218,219,221,223,224,225,222,226,255,255,255,255,255,255,250,249,250,251,247,203,137,171,237,225,228,214,216,219,220,220,222,224,226,224,227,253,255,255,254,249,254,255,255,252,245,230,217,183,141,138,205,231,227,215,217,218,220,221,223,224,226,222,253,255,255,255,255,248,245,247,248,241,231,221,227,198,136,132,165,237,228,217,218,219,221,223,224,225,227,223,255,255,255,255,255,240,240,245,244,240,232,228,231,207,144,126,178,239,229,218,219,221,223,224,225,227,229,226,254,255,255,255,255,253,253,244,238,231,221,218,212,183,146,131,210,238,231,219,220,222,224,225,226,228,230,225,248,255,255,255,255,251,255,226,204,204,198,187,181,177,145,153,235,234,232,219,221,223,225,226,227,229,231,226,244,255,255,255,255,249,244,215,176,153,138,150,182,176,141,185,243,233,233,221,223,225,226,228,229,230,232,228,241,255,255,255,254,247,231,209,186,147,79,134,184,173,141,213,241,235,235,223,224,226,228,230,230,231,233,231,240,255,255,255,255,244,252,242,174,112,111,158,174,153,149,233,237,236,237,224,225,227,229,230,231,232,233,233,238,255,255,255,255,251,253,226,175,118,130,159,147,134,176,246,236,237,238,224,226,228,230,231,231,233,233,234,237,255,255,255,255,255,251,216,183,142,120,132,141,137,191,247,235,238,238,225,227,228,230,233,233,234,235,236,235,255,255,255,255,255,252,218,181,153,115,134,150,139,206,248,238,239,239,225,227,229,231,232,233,235,236,237,236,255,255,255,255,255,250,219,182,161,131,142,154,143,225,244,240,241,241,226,227,230,231,232,234,236,237,238,237,255,255,255,255,255,247,221,186,163,140,150,152,157,243,239,241,242,242,226,228,230,231,233,234,236,238,238,237,255,255,255,255,253,239,214,183,162,146,151,142,187,253,240,242,242,243,228,230,231,232,234,235,238,238,240,238,255,255,255,254,242,227,205,176,163,154,148,147,236,246,242,244,244,244,229,231,231,233,236,238,239,238,241,239,255,255,255,250,231,213,189,173,166,161,139,185,252,241,244,244,244,245
0,156,156,156,155,157,157,156,157,157,157,158,160,158,157,157,155,157,158,157,159,158,157,157,159,157,156,156,156,156,156,156,156,158,160,159,161,160,159,156,158,157,158,158,158,158,156,159,160,157,159,159,159,160,157,157,157,158,157,158,159,159,161,162,159,161,162,159,160,162,161,160,161,161,159,159,160,160,159,160,159,160,157,156,156,160,159,160,160,161,162,159,158,154,136,151,163,152,159,163,157,156,163,166,163,165,161,158,160,161,159,157,157,160,161,161,161,162,162,159,166,162,101,57,112,128,107,121,147,134,109,139,155,148,160,165,161,160,161,159,159,159,162,161,163,162,162,164,160,161,103,16,54,138,86,37,108,134,63,36,101,89,73,108,159,162,158,161,160,161,162,162,162,161,159,158,126,145,117,54,37,118,75,23,79,108,52,15,82,84,33,24,88,161,161,160,161,163,163,163,163,162,156,149,117,105,137,95,21,75,78,13,70,96,39,16,95,81,31,31,70,95,173,160,161,162,164,164,164,163,157,148,124,84,93,90,14,60,75,0,56,113,52,11,101,101,36,38,105,54,116,173,161,162,165,164,165,165,157,145,122,86,59,51,21,64,59,0,66,113,37,20,118,111,86,71,81,65,40,164,164,164,165,164,165,164,156,148,139,114,67,44,36,49,36,3,53,82,48,108,126,110,99,73,50,38,31,156,166,165,165,167,167,165,159,155,145,133,105,55,36,29,41,57,55,85,128,139,128,116,89,69,56,28,46,168,165,166,167,168,168,167,160,160,149,141,131,93,41,37,48,57,85,133,143,142,135,119,85,60,51,21,71,180,163,166,167,168,168,167,156,166,158,151,146,122,76,69,60,66,114,140,146,153,140,113,81,56,47,15,116,179,164,167,167,167,168,169,146,164,166,159,155,137,110,100,86,76,116,129,147,157,142,106,75,55,36,39,160,169,165,168,168,168,167,172,147,150,170,169,163,145,128,119,107,93,105,135,153,149,134,96,64,60,26,96,178,166,168,167,169,169,168,172,157,135,167,174,168,154,140,128,119,109,102,121,147,144,124,88,58,55,23,144,175,166,169,168,169,169,168,167,172,125,152,172,172,161,147,137,129,113,102,107,129,129,104,74,56,37,46,172,169,168,168,169,169,171,170,168,177,139,130,169,173,163,141,137,126,111,103,103,115,115,82,60,51,15,102,182,165,169,170,170,170,169,171,173,170,167,120,164,171,152,131,136,121,114,105,89,95,102,72,57,30,48,168,171,168,169,171,171,171,170,172,172,170,171,136,166,171,154,141,149,133,117,102,79,80,86,70,45,24,139,177,170,172,172,171,171,171,171,172,171,171,172,142,167,175,164,148,159,139,115,102,79,71,76,69,25,87,180,168,172,175,172,172,171,171,171,171,171,171,174,134,159,174,170,153,156,135,113,98,81,69,71,66,18,134,177,169,172,175,172,172,171,171,171,171,171,173,176,134,156,176,171,154,146,131,111,96,85,68,64,55,29,156,172,171,172,173,172,172,170,170,170,170,171,172,170,148,162,173,169,156,143,130,114,96,85,70,57,45,41,174,172,171,172,172,172,172,169,171,171,171,172,173,162,154,171,160,163,153,140,128,114,95,83,69,54,41,55,179,169,172,172,172,172,172,169,170,172,173,172,173,159,153,162,159,163,144,131,124,112,95,78,62,51,32,78,176,166,172,172,172,172,172,170,171,172,172,170,174,157,147,159,163,161,143,124,115,109,93,73,52,46,24,109,173,167,173,172,173,172,172
0,180,181,181,181,180,180,180,180,179,178,177,178,177,176,175,174,174,173,171,171,170,168,168,166,166,164,163,162,181,182,181,182,182,181,181,181,180,179,178,179,178,178,177,176,175,174,174,172,171,169,168,166,166,165,164,164,182,182,182,182,183,183,183,182,181,180,179,179,179,179,178,177,175,174,173,172,171,171,169,168,167,166,165,164,183,184,184,184,184,184,184,184,182,181,181,179,179,179,179,178,176,174,173,173,172,172,171,170,168,167,165,164,183,185,185,186,185,184,183,182,181,182,180,167,145,151,176,164,152,162,175,173,172,172,171,171,169,168,166,165,185,186,186,187,185,184,183,175,160,165,173,153,124,100,135,136,114,98,152,147,141,157,170,166,167,168,168,166,186,186,186,186,186,185,182,168,141,124,143,157,122,98,106,141,116,92,90,121,100,85,144,141,139,169,168,166,187,187,187,187,186,186,185,179,156,133,109,155,129,107,100,146,122,95,90,128,108,75,90,135,111,170,168,167,188,188,187,187,186,188,182,173,162,139,97,145,132,109,100,146,123,96,80,125,110,76,67,123,102,165,170,168,189,188,188,188,188,189,177,144,162,124,87,143,129,102,93,138,115,86,67,110,96,69,62,119,95,139,170,170,189,189,189,189,188,185,155,121,158,110,83,135,112,85,87,127,106,76,73,122,102,61,68,124,112,98,162,171,189,189,189,190,190,186,166,141,157,117,93,131,112,80,89,127,103,71,103,139,108,53,76,126,119,90,125,171,190,191,190,190,191,182,160,138,139,123,97,134,126,82,104,140,114,74,123,136,89,51,110,136,119,82,115,170,190,192,192,191,186,161,135,119,105,96,87,138,123,81,109,140,116,74,53,72,47,81,137,139,108,71,149,170,192,192,193,192,187,165,138,113,88,78,75,102,103,74,70,106,94,69,72,52,67,130,142,126,86,102,170,172,193,192,193,189,181,163,140,112,91,88,91,89,95,89,80,87,114,137,138,127,114,136,129,104,70,154,173,172,194,193,193,189,181,166,143,118,95,87,92,99,116,127,132,144,153,148,140,136,114,118,113,78,95,173,174,174,194,194,194,192,184,167,147,126,104,94,97,110,136,150,158,162,156,145,135,128,105,96,94,61,145,175,175,174,194,194,194,192,186,168,151,133,113,110,103,134,162,164,166,162,152,139,130,122,95,78,70,88,175,178,176,174,194,195,194,192,188,173,156,141,127,125,130,159,170,168,167,159,147,135,124,109,81,62,71,159,178,178,178,175,195,195,194,192,189,175,160,147,137,133,155,165,170,171,165,151,141,127,112,92,64,64,153,178,179,178,177,177,194,195,195,190,187,178,165,152,140,138,164,166,172,169,157,140,128,117,97,73,59,146,179,180,180,180,178,177,195,196,195,189,185,181,169,156,142,137,162,167,164,158,144,127,114,101,78,58,138,181,181,181,180,181,179,178,195,196,196,192,185,182,173,164,150,140,159,163,154,145,131,114,96,74,57,130,182,184,182,182,180,181,179,178,195,195,197,194,189,179,173,166,157,145,156,155,144,130,119,99,74,56,127,182,185,185,183,182,181,180,179,179,195,195,197,192,186,178,182,177,165,152,152,146,130,117,105,77,56,132,184,187,186,186,184,183,182,180,179,179,196,196,196,191,187,176,183,177,161,149,144,137,119,101,85,60,135,186,188,188,188,186,185,184,182,181,180,179,197,197,195,187,182,170,179,169,156,147,138,124,108,89,67,99,185,190,189,188,188,186,185,184,182,182,182,180
16,93,95,99,104,114,123,129,136,141,144,145,147,151,156,160,164,166,168,169,171,173,174,176,177,178,179,181,182,93,95,100,105,114,123,131,137,142,144,145,148,153,157,159,162,166,169,171,172,174,175,177,178,180,180,180,182,94,96,101,105,115,125,132,138,143,144,146,150,154,158,160,164,166,169,171,173,174,176,178,179,180,181,182,183,95,97,101,105,117,126,133,138,143,146,149,152,155,158,162,165,168,170,171,173,175,178,179,180,181,182,182,183,94,98,101,106,118,128,135,140,145,147,150,151,157,160,161,165,168,171,173,175,178,179,181,181,182,183,183,183,95,98,102,109,120,130,137,141,145,148,148,147,147,142,132,127,138,167,174,176,179,181,182,182,184,185,185,186,97,99,103,111,121,130,136,143,151,145,133,122,112,101,95,96,94,111,165,179,181,182,184,185,186,186,187,188,98,100,103,111,121,132,146,159,152,131,106,101,98,89,82,89,95,84,103,168,182,183,187,188,188,188,189,189,98,101,104,112,124,151,162,142,120,100,84,94,93,85,80,88,93,81,91,105,179,184,188,189,189,190,191,190,98,101,102,127,151,145,117,104,95,84,82,96,93,83,85,90,92,84,95,82,130,188,189,190,190,191,192,192,98,105,135,160,130,105,87,86,88,80,89,98,91,83,93,90,85,93,95,88,82,176,188,190,193,195,194,195,99,174,176,130,99,83,77,83,102,125,100,83,65,85,96,87,70,97,94,85,75,124,190,194,194,195,195,196,116,199,150,111,89,78,95,130,187,182,116,68,65,67,86,74,62,103,93,83,78,75,153,193,195,195,196,197,103,161,121,95,96,141,195,192,204,181,131,81,70,67,57,41,69,108,91,94,91,86,90,162,196,196,197,199,99,109,107,106,182,196,203,193,205,173,133,94,78,67,33,23,72,107,89,102,102,99,92,99,192,199,199,199,101,103,107,126,203,190,206,197,199,158,121,97,90,81,69,30,60,98,90,102,109,97,84,75,164,200,200,200,101,104,106,147,210,191,210,199,180,135,98,97,99,92,82,64,43,84,99,137,125,95,80,72,125,202,201,202,102,103,105,174,211,189,208,192,159,115,101,104,107,101,88,74,45,61,143,173,172,153,118,76,125,204,203,203,103,104,106,182,210,187,182,166,119,92,92,110,106,94,88,80,71,61,167,193,195,193,183,149,155,200,203,205,102,103,109,158,212,179,131,119,86,81,89,92,88,81,77,75,84,74,163,199,200,202,203,183,147,163,205,206,102,104,110,129,185,130,98,89,86,93,95,89,75,70,74,69,73,72,134,201,195,198,196,172,135,120,205,206,102,104,111,123,144,104,87,98,92,85,80,74,66,64,64,62,76,92,103,161,178,185,182,159,122,143,207,208,104,105,112,124,134,132,91,86,75,88,93,102,91,71,60,79,88,95,89,80,102,144,160,146,157,199,209,209,103,105,112,125,137,126,83,78,73,76,133,111,89,79,66,54,54,47,45,41,35,108,202,203,207,211,210,210,103,105,112,125,137,108,83,75,74,66,46,60,45,33,23,19,19,20,19,19,18,83,208,209,210,210,210,211,103,105,113,126,129,94,79,72,69,73,37,17,31,29,22,15,15,16,17,16,18,157,209,209,210,210,212,213,102,105,113,126,112,85,77,69,67,67,59,9,22,30,22,16,15,15,16,15,40,197,208,210,212,213,213,214,102,105,113,124,93,80,74,67,63,66,68,14,12,25,21,17,15,14,15,14,87,212,210,211,213,214,214,214
14,153,154,155,155,154,156,156,156,156,154,154,155,155,156,155,152,152,150,149,148,147,146,145,143,142,141,139,137,156,157,157,159,158,158,158,160,158,157,158,159,159,158,157,156,156,153,152,152,149,149,149,146,146,144,141,140,159,160,161,162,161,160,162,162,160,160,160,161,161,159,162,163,160,158,158,158,155,153,150,151,150,148,146,144,162,164,163,164,166,165,165,165,165,164,164,165,164,163,152,140,152,156,152,149,149,156,161,150,153,151,150,148,166,167,166,167,168,168,167,167,167,166,168,168,166,158,139,115,124,128,121,128,121,84,126,168,154,153,151,150,168,169,169,169,170,171,170,170,170,168,167,144,138,152,159,154,147,128,78,91,115,81,45,107,164,159,153,152,171,171,172,172,173,173,170,172,173,170,168,167,162,168,168,158,148,134,111,73,86,102,68,60,107,145,157,153,174,173,174,174,174,174,173,173,173,171,171,155,133,123,109,90,63,66,109,115,114,123,67,75,101,68,153,162,175,175,176,176,176,176,176,175,176,176,169,132,126,131,97,62,41,41,38,72,93,73,36,19,55,21,54,161,177,177,177,177,177,178,177,179,175,155,157,170,166,146,120,99,99,131,66,123,145,111,141,88,23,16,10,69,181,181,180,179,180,179,180,181,173,159,164,157,141,105,82,74,72,61,73,174,180,180,174,189,129,9,31,37,182,182,181,181,182,181,182,184,168,160,151,114,76,17,0,0,0,40,167,178,173,173,174,170,62,44,62,57,182,183,183,183,183,183,182,180,168,156,98,39,2,0,0,3,0,110,195,174,178,174,188,105,43,83,74,42,183,185,186,184,187,185,186,180,171,149,78,17,4,7,11,19,0,132,190,178,179,182,160,55,71,79,64,29,187,186,187,187,188,187,188,180,169,143,81,12,10,10,8,10,1,164,187,181,178,192,96,42,71,72,34,84,189,188,188,189,189,189,191,179,170,126,46,10,27,8,5,7,0,135,207,178,189,159,52,48,56,57,26,155,190,190,190,189,190,191,188,174,170,122,61,41,23,7,8,3,0,8,124,190,186,66,57,66,54,17,102,186,192,192,192,192,190,193,185,173,174,138,78,44,16,8,15,13,15,15,7,82,81,34,64,65,35,62,186,174,192,194,194,193,192,194,186,169,173,132,78,51,17,11,22,31,35,41,47,43,29,48,62,49,35,165,185,177,194,195,194,192,193,195,185,163,167,132,100,53,12,14,25,41,42,48,55,68,64,43,69,30,114,196,179,179,193,194,195,194,193,198,187,157,163,142,100,52,23,10,27,47,49,49,56,72,72,55,38,40,181,186,184,181,193,194,195,196,196,199,187,160,171,144,110,73,36,10,29,50,52,55,64,79,78,62,18,112,199,184,185,183,196,195,197,199,198,200,185,163,174,142,105,68,44,14,24,54,54,60,72,80,74,40,58,197,188,188,186,185,199,199,200,199,199,202,184,166,169,132,98,72,50,24,16,56,53,60,75,75,66,16,121,204,187,190,187,185,198,198,199,199,197,203,182,163,166,126,93,77,54,32,14,44,53,58,69,66,45,28,183,193,190,190,188,187,197,197,198,199,197,203,178,156,161,121,93,79,51,33,15,35,54,52,55,56,7,115,207,190,192,190,189,187,198,198,199,200,198,203,179,150,148,120,92,67,45,33,18,28,47,47,47,18,60,197,190,191,190,189,187,186,199,199,200,200,199,204,176,147,141,117,86,63,47,34,21,27,38,42,24,44,187,197,191,191,191,190,188,185
0,185,186,189,191,193,194,195,198,197,195,196,197,197,195,196,195,194,194,193,193,191,189,189,187,186,186,184,183,185,188,191,193,195,195,196,198,198,197,198,199,199,198,198,196,196,195,194,194,191,189,189,189,189,187,186,184,186,189,192,193,195,196,197,200,200,199,200,200,199,199,199,200,200,196,195,197,194,192,190,186,177,186,187,187,188,189,192,194,197,198,200,201,201,201,202,202,202,201,198,183,186,201,188,169,188,194,197,190,132,173,190,187,188,190,194,196,198,199,200,201,203,204,202,189,173,192,182,136,107,150,157,116,107,187,204,183,110,174,192,188,189,193,195,197,198,200,201,197,187,203,203,163,115,105,152,136,108,76,116,125,86,140,202,169,103,180,192,190,192,195,197,200,201,200,202,188,134,127,187,159,121,83,131,146,127,90,111,133,99,127,190,163,94,166,196,191,193,195,198,200,200,202,205,186,153,104,148,172,130,105,127,160,129,96,105,135,99,101,181,150,82,130,199,193,194,196,199,201,201,215,203,198,172,131,112,181,136,106,104,162,126,91,100,131,95,66,147,143,84,91,198,193,195,197,199,200,206,207,185,211,175,140,94,163,136,102,89,159,124,80,78,106,82,64,124,147,85,90,198,194,196,198,200,201,221,218,166,197,168,147,87,130,138,103,78,147,113,68,57,77,68,81,149,140,78,120,202,195,195,199,201,206,219,203,171,171,143,115,69,108,133,92,64,102,80,62,67,79,66,101,153,134,75,152,201,196,196,200,202,207,211,187,155,158,122,79,62,104,97,72,65,85,78,59,78,79,73,131,150,132,77,179,199,196,197,201,202,204,225,219,191,154,108,99,73,102,98,58,62,105,80,67,100,94,102,145,153,117,84,197,199,197,198,201,204,206,226,225,207,175,122,105,79,118,120,69,92,121,126,148,148,140,127,141,124,92,95,205,199,199,199,201,204,207,225,227,212,190,154,122,113,107,115,157,183,181,180,173,156,147,126,105,94,69,113,209,200,200,198,202,205,207,222,227,212,184,161,132,120,135,159,195,189,190,176,165,152,139,119,85,78,61,161,206,201,200,197,200,203,205,217,221,208,188,172,144,127,148,173,191,185,181,168,155,144,127,108,82,60,124,205,202,201,200,197,200,203,206,211,217,206,191,176,152,137,162,168,181,181,171,157,142,130,116,96,64,99,204,205,202,201,200,199,202,205,207,208,214,205,192,176,155,137,148,160,165,178,162,147,133,120,104,76,79,191,208,204,203,202,200,199,202,204,207,207,209,204,191,177,154,133,126,144,151,159,150,138,125,105,80,71,179,210,205,205,204,202,201,200,202,204,208,209,208,208,191,179,153,120,112,128,136,133,129,124,107,80,70,166,211,206,206,206,204,206,192,200,203,206,212,213,205,187,184,170,134,105,111,119,122,112,102,98,77,108,180,212,208,208,208,207,206,145,80,187,190,192,162,184,216,188,174,156,138,127,123,112,113,98,82,64,138,199,202,199,200,193,183,191,130,52,40,119,121,111,37,125,219,199,183,165,155,140,119,99,100,86,67,59,108,113,115,113,94,68,56,63,45,36,32,114,116,84,58,72,154,184,182,171,152,129,106,89,85,72,53,73,103,93,69,47,33,28,32,33,33,29,26,119,113,72,68,61,65,103,144,150,137,110,92,80,72,55,33,54,77,48,34,30,28,22,23,28,34,30,27,118,102,70,67,62,58,51,70,99,99,83,71,61,52,34,13,1,18,33,24,24,26,22,19,21,29,30,30
19,135,137,138,139,141,141,141,142,142,141,142,142,141,141,141,140,140,139,139,139,138,138,137,136,135,134,134,135,137,136,138,139,141,141,142,142,142,142,142,142,142,142,142,142,141,140,140,140,139,137,137,138,136,136,136,135,137,137,139,139,141,142,144,143,143,143,143,142,142,142,144,142,141,141,141,141,140,138,139,139,138,137,137,136,137,138,140,141,141,142,143,143,143,144,144,143,142,143,143,143,142,142,141,141,141,140,140,139,138,137,137,136,138,139,140,142,143,143,144,145,145,144,143,145,146,143,144,144,143,143,142,141,142,142,141,140,138,137,137,137,139,142,141,143,145,146,146,145,147,150,133,114,133,148,144,145,145,144,142,142,143,142,142,141,139,139,138,138,140,142,144,145,145,146,146,147,147,173,155,126,89,133,150,145,146,144,143,144,143,143,143,141,140,140,139,138,141,141,143,144,145,146,148,150,143,164,176,146,101,77,147,146,147,145,144,145,145,143,143,142,141,140,140,139,143,144,144,146,147,148,149,149,148,152,174,151,112,59,113,155,145,147,145,144,144,143,142,142,141,141,141,140,143,144,145,148,148,149,150,151,146,152,168,143,106,62,88,158,146,147,146,144,145,144,143,142,142,142,141,140,143,145,147,149,148,150,153,150,158,183,162,136,123,86,94,148,146,151,150,147,146,145,145,144,143,142,142,141,144,146,149,150,152,152,151,150,188,176,149,132,141,151,146,135,128,130,136,144,149,147,147,144,144,143,141,142,146,148,149,151,152,153,147,174,184,154,115,95,114,149,165,163,153,142,121,122,126,138,145,148,144,143,142,142,147,151,149,151,151,151,160,195,178,161,134,92,76,107,141,154,161,160,149,139,131,135,125,126,138,146,146,142,149,151,150,152,154,150,182,186,166,151,136,132,113,104,110,118,124,135,146,156,160,164,149,120,114,111,136,146,149,150,150,153,152,161,186,174,143,122,122,115,138,142,127,116,103,89,98,114,124,145,155,147,133,103,99,128,148,150,153,155,153,181,200,180,143,119,113,106,112,143,150,142,125,95,76,115,131,125,125,125,125,125,121,128,150,152,152,151,164,195,197,173,145,132,133,134,130,115,123,137,136,114,99,93,150,155,145,136,126,122,119,121,151,152,154,152,178,194,184,159,138,137,148,147,147,129,74,107,109,114,116,91,133,158,152,153,152,147,140,137,151,153,152,167,190,191,180,147,122,104,133,160,160,157,92,108,88,88,90,105,153,154,153,152,151,151,151,150,151,151,156,186,187,198,180,144,119,106,95,125,136,148,142,121,101,95,88,148,156,153,153,153,151,151,150,148,152,150,168,189,193,200,170,138,128,127,127,117,95,117,155,134,114,92,136,161,153,154,154,154,151,149,148,147,153,154,184,189,196,185,168,144,136,132,131,123,114,108,108,108,100,122,159,155,156,155,154,152,152,151,150,149,149,165,191,190,188,180,165,151,139,140,137,123,107,101,104,82,131,160,156,155,156,155,155,154,152,151,150,150,149,176,190,187,187,175,155,142,125,125,132,124,115,110,99,121,167,158,157,155,157,157,155,155,153,152,152,151,153,184,187,182,180,169,155,127,99,86,92,105,104,107,123,156,161,160,159,157,156,156,156,156,154,153,153,151,165,185,176,169,167,151,126,102,86,65,118,155,143,151,163,161,160,160,160,159,157,156,155,155,154,152,151,150,181,181,162,157,146,124,102,90,85,73,154,169,165,164,161,161,161,161,160,158,157,156,155,155,153,152,152,150
23,38,41,45,57,69,81,90,94,97,103,111,116,120,124,126,128,133,135,138,138,137,137,138,138,140,139,137,137,37,41,47,59,71,83,92,97,99,107,114,118,123,125,126,130,136,137,138,140,140,140,140,141,142,140,139,139,38,42,47,60,73,85,94,98,100,108,114,120,124,127,130,133,136,138,141,142,142,143,143,142,143,142,141,141,39,42,47,61,74,86,95,99,101,109,116,122,126,130,134,135,138,141,143,144,144,143,144,144,144,144,144,142,41,44,47,62,76,88,96,101,105,112,118,125,127,130,134,137,140,143,142,143,145,144,145,144,144,145,145,141,40,43,50,63,77,89,97,102,107,113,120,125,128,133,136,138,141,143,144,145,149,147,146,146,145,145,144,144,39,43,50,65,77,91,99,101,106,115,122,127,130,135,138,141,143,144,147,148,144,146,144,147,150,146,144,145,40,44,51,66,79,92,100,104,108,117,124,129,133,136,140,143,143,147,148,143,177,188,158,148,144,147,147,145,40,44,52,67,79,92,101,105,109,118,125,131,135,138,142,145,148,147,153,199,217,170,165,137,67,140,152,149,41,44,52,68,81,95,103,106,112,120,128,132,136,141,143,148,147,159,226,191,145,67,103,112,116,153,151,151,41,44,53,69,83,96,105,107,113,122,129,135,138,142,144,149,143,202,248,98,41,120,157,157,161,155,153,152,41,43,53,70,84,98,105,108,114,122,130,136,141,144,149,150,152,227,229,145,160,147,140,160,157,157,155,154,40,44,54,71,85,97,107,109,116,125,131,138,144,143,147,149,181,240,232,235,220,108,96,174,157,159,158,156,40,44,55,71,85,100,109,111,118,126,132,142,139,158,185,196,222,162,191,178,162,86,58,142,158,161,160,158,41,46,57,73,88,102,110,114,120,127,136,137,163,204,196,205,226,174,209,211,173,83,41,105,135,170,160,162,41,45,57,74,89,103,112,116,122,131,135,151,205,181,170,178,178,153,180,198,153,69,30,62,81,176,164,163,42,45,57,74,91,104,114,116,122,133,131,212,234,202,189,191,175,159,159,115,93,69,25,65,43,106,173,165,42,45,58,74,90,104,114,117,123,133,138,231,235,204,159,161,179,174,160,94,65,79,13,61,65,54,147,173,41,44,57,76,90,106,115,117,123,132,142,226,229,185,126,89,104,128,133,76,74,75,4,57,68,76,161,170,41,44,59,77,92,108,115,116,124,132,146,234,233,148,82,55,18,142,132,64,85,47,29,71,65,118,179,170,41,44,61,77,92,107,116,119,128,132,150,244,216,141,86,37,47,142,103,68,54,10,51,80,83,170,175,175,40,43,60,77,93,109,116,119,129,131,161,246,203,138,91,49,38,51,52,29,19,30,52,67,124,186,175,176,37,41,59,77,91,106,114,116,128,128,171,243,195,135,91,45,5,13,21,35,59,60,59,66,161,180,176,176,36,39,57,76,92,107,117,118,130,129,185,239,188,137,91,57,30,45,62,70,78,69,55,115,184,179,178,177,35,39,56,75,91,108,117,119,130,131,183,226,178,132,95,65,44,51,76,81,82,62,79,182,181,180,180,179,33,37,54,74,92,107,117,119,130,131,185,214,165,134,102,73,58,54,79,85,84,54,130,193,179,181,181,179,28,33,51,71,91,106,115,118,128,131,196,201,170,154,119,86,68,55,76,83,71,86,181,185,182,181,181,180,31,36,51,70,87,103,111,116,127,133,213,209,187,171,136,93,73,61,73,75,75,161,188,179,181,179,180,180
2,183,185,185,186,185,185,186,185,184,184,184,178,185,181,182,182,180,179,178,176,175,175,173,171,170,169,166,164,187,188,188,188,188,187,187,186,187,187,182,198,202,131,155,188,184,184,182,179,180,179,176,174,173,171,169,167,190,190,191,192,192,191,190,190,187,185,217,210,146,96,99,166,174,129,176,187,181,181,180,178,177,175,172,171,193,193,192,194,195,193,194,190,196,226,220,134,98,88,100,131,138,90,149,186,182,182,181,180,179,178,174,173,194,195,194,194,196,195,192,206,247,229,162,101,96,87,78,90,93,88,81,148,195,183,185,182,180,179,178,176,196,196,195,196,196,197,190,237,237,159,109,87,89,92,86,61,82,98,84,86,147,195,185,184,182,181,179,178,196,198,198,200,200,194,209,250,190,107,81,65,69,79,80,81,83,84,82,70,143,195,185,186,184,183,181,180,199,201,200,202,202,199,244,228,150,104,86,75,61,83,106,112,87,102,117,154,192,189,188,187,187,186,184,181,202,203,203,204,197,228,243,173,114,87,91,89,79,98,95,99,159,189,196,199,194,192,190,189,189,188,186,184,204,204,205,200,218,250,225,151,103,77,87,84,95,86,121,187,204,201,198,196,197,195,193,191,191,190,187,186,205,206,204,205,246,248,205,144,112,99,82,87,99,132,216,204,201,202,202,201,199,197,195,194,193,190,188,188,207,209,204,220,250,235,179,132,109,109,94,91,94,164,216,202,204,204,204,202,201,199,196,196,195,193,192,190,210,212,206,239,250,223,162,119,107,106,103,89,110,207,210,207,203,205,204,203,203,201,199,198,197,196,194,192,212,208,220,250,246,205,149,118,104,102,104,93,166,221,208,209,207,205,206,205,204,202,201,200,198,196,196,195,214,210,242,250,236,182,132,113,108,100,99,103,204,214,211,211,210,208,207,206,205,204,202,202,201,199,197,196,212,224,250,249,219,166,123,110,107,107,93,129,224,210,214,212,212,211,209,208,206,206,207,206,202,200,198,197,212,241,250,244,200,146,113,108,104,105,76,158,229,213,216,215,214,211,211,211,210,206,201,195,203,205,200,200,226,250,250,230,174,127,112,103,96,91,76,115,222,221,213,215,213,213,213,213,198,178,172,160,132,198,204,202,244,250,246,206,160,131,117,98,84,85,92,83,126,213,226,220,220,218,216,185,178,171,152,116,131,202,206,203,247,248,234,192,163,137,116,87,78,92,91,102,104,117,169,202,190,179,181,172,184,151,123,172,211,209,205,204,249,250,238,193,159,133,108,86,88,107,111,127,138,123,115,147,156,171,179,184,170,120,190,222,209,208,208,207,181,192,202,179,154,125,102,91,100,118,134,139,148,148,138,166,169,175,169,148,116,156,222,211,212,211,209,208,59,59,50,52,69,66,67,81,107,126,136,144,151,154,139,157,143,136,144,160,185,217,216,216,214,212,209,208,68,57,33,29,38,33,23,28,64,122,134,141,147,140,113,120,156,195,214,226,225,218,217,216,215,213,212,211,62,50,33,36,42,32,25,19,14,52,128,134,123,119,159,204,229,230,224,222,223,222,220,218,217,217,215,213,56,46,35,37,36,28,21,15,18,11,64,122,153,211,234,231,225,224,225,224,222,221,221,219,218,218,215,214,50,45,35,37,34,25,17,14,20,9,54,216,234,231,226,226,228,229,227,226,225,223,222,221,219,218,217,215,50,43,34,35,32,23,16,15,23,5,165,249,224,228,229,229,229,228,227,227,227,225,225,225,222,219,219,217
12,169,168,170,173,174,174,177,177,178,178,178,177,177,177,176,175,175,174,174,174,174,172,172,171,170,168,168,168,170,171,173,174,175,177,178,178,179,179,180,179,179,177,178,179,177,175,175,174,174,174,173,172,171,171,170,169,171,172,174,175,177,179,179,180,181,181,181,181,181,181,181,181,179,177,177,176,176,176,174,174,174,174,171,171,173,174,175,178,179,179,181,182,181,181,182,183,181,182,181,180,180,180,180,179,178,178,177,176,174,174,173,172,174,176,178,180,180,181,183,184,184,184,185,185,185,187,184,181,182,185,186,179,179,179,180,178,177,175,175,173,175,178,179,181,182,184,184,186,186,187,187,184,182,175,182,188,177,151,150,187,185,183,180,180,179,178,176,175,177,179,181,182,184,186,187,187,188,188,186,195,183,140,119,181,169,125,68,151,169,164,186,182,179,179,178,177,179,181,183,185,187,187,189,190,189,190,192,201,182,139,73,135,164,122,83,89,141,91,111,186,180,180,180,179,180,183,186,187,188,188,190,190,191,189,165,193,169,123,70,117,195,141,104,86,128,94,58,134,193,179,181,181,182,183,187,187,189,190,191,190,206,192,131,159,181,133,56,132,237,157,115,110,136,97,61,112,196,181,182,182,184,185,187,189,190,191,189,208,226,192,148,111,219,170,63,118,219,134,89,161,152,109,52,126,197,183,184,184,186,186,187,190,192,195,190,215,217,198,149,89,195,156,88,99,135,102,106,196,135,80,46,140,197,185,187,185,187,188,189,192,193,193,195,228,198,172,125,81,80,102,80,85,137,180,172,137,89,51,57,173,193,187,187,187,187,189,192,194,195,193,220,222,189,125,98,80,40,48,143,178,178,179,162,129,123,65,107,202,187,189,188,189,188,190,193,194,195,196,235,211,168,127,124,65,39,150,216,206,182,165,139,119,123,75,126,205,189,191,189,189,189,191,194,196,196,199,237,214,142,147,151,76,132,224,214,206,181,158,141,116,104,60,136,206,191,193,192,190,191,193,195,197,195,208,239,215,181,162,138,160,210,218,214,198,179,151,133,109,86,50,157,204,193,194,192,192,191,194,196,199,196,215,238,221,200,188,146,180,210,218,204,192,171,137,122,100,78,41,147,207,193,195,194,193,193,194,198,200,197,214,235,224,208,191,155,192,206,208,191,179,156,128,112,89,72,39,145,209,194,197,195,194,195,196,198,202,199,210,230,222,214,188,157,179,199,188,181,173,140,114,96,78,58,47,185,202,197,198,196,195,196,196,198,201,198,206,229,223,214,174,148,170,179,183,171,156,124,102,87,70,39,140,208,199,201,199,198,197,196,196,199,201,211,209,216,215,187,149,148,170,177,184,171,143,125,102,80,55,142,210,199,202,202,200,199,198,195,196,200,200,146,195,218,198,183,177,171,169,185,188,163,128,120,95,50,140,218,201,202,202,202,202,200,198,196,195,207,172,55,100,217,214,204,188,166,148,173,173,136,109,105,59,104,213,204,204,204,202,202,202,201,200,197,198,203,110,88,66,105,169,162,151,142,133,158,145,112,100,71,76,205,209,205,206,205,203,203,202,202,200,194,208,171,77,88,83,23,62,62,61,57,59,84,89,87,75,55,181,215,205,207,207,206,205,204,204,203,202,194,201,117,79,83,91,23,32,54,49,37,30,27,30,38,24,48,191,210,207,207,207,207,206,204,203,203,201,203,168,81,83,80,88,17,15,43,45,36,33,31,28,21,16,0,119,222,204,207,206,206,205,203,203,202,200
11,143,147,152,155,158,160,163,165,167,169,168,169,169,169,168,169,169,168,167,166,166,163,159,160,158,157,153,151,146,151,154,157,160,163,166,168,170,170,171,171,170,171,173,170,169,169,168,167,167,165,162,161,159,158,156,153,149,154,158,161,164,167,169,170,173,173,174,173,175,164,152,176,170,171,170,168,167,166,165,163,162,160,158,159,154,157,160,164,167,171,173,175,176,176,177,175,182,185,97,176,175,173,173,172,169,169,168,165,163,161,166,138,157,161,164,167,170,175,177,177,179,179,180,175,189,202,85,168,181,176,176,176,174,173,169,168,166,165,166,78,158,163,167,171,174,177,178,179,182,182,185,176,203,198,71,169,184,180,177,176,177,175,173,171,168,173,148,40,161,166,168,174,178,179,182,183,186,189,184,181,232,191,75,182,185,182,181,180,178,178,176,176,173,180,130,25,165,170,174,177,179,182,186,186,186,175,203,169,227,176,88,193,186,186,185,185,182,182,180,179,176,181,145,52,168,173,177,180,183,188,182,221,197,108,177,146,94,152,93,168,194,187,188,188,186,185,182,183,180,179,170,74,170,175,179,183,188,182,216,243,221,165,89,127,76,109,87,131,204,189,190,190,189,187,186,186,184,181,183,99,173,177,182,187,185,202,255,188,198,196,104,87,83,127,94,141,207,192,193,194,192,191,190,187,186,183,187,153,176,180,184,187,191,248,228,142,140,192,93,80,74,124,93,149,209,196,198,196,195,194,192,190,189,187,186,179,177,182,188,183,221,255,183,133,162,161,57,89,73,112,83,165,208,199,201,201,198,197,195,193,192,191,189,185,179,184,190,185,236,243,166,102,119,127,60,86,72,107,77,191,208,202,203,202,199,198,195,193,193,193,191,189,181,186,191,186,243,246,184,125,66,68,100,62,86,104,83,210,206,204,203,202,202,200,199,198,196,194,194,191,183,189,193,190,255,244,174,110,67,49,109,59,123,112,51,166,222,206,209,210,203,196,191,188,197,203,196,194,185,191,195,197,255,240,174,121,77,53,66,48,113,95,40,70,190,208,192,169,153,141,137,123,111,159,203,194,186,192,194,205,255,236,179,133,91,66,70,77,98,101,96,94,101,124,131,147,157,138,108,97,75,97,206,196,188,195,195,208,255,231,180,137,98,74,77,128,161,161,147,132,111,114,138,136,112,89,112,166,183,189,202,198,190,196,198,208,255,235,191,148,109,82,97,159,155,140,134,125,108,95,88,94,136,173,209,217,212,208,203,200,193,199,199,216,255,238,199,149,124,93,114,150,148,134,114,109,79,68,130,204,222,218,211,208,209,208,204,200,194,203,195,232,255,239,195,146,123,100,111,127,134,123,97,73,100,182,225,221,215,211,212,211,210,209,206,204,196,201,200,255,255,218,175,134,109,100,113,108,117,108,69,135,224,228,217,218,217,215,215,213,212,211,209,205,198,197,246,255,240,205,161,126,105,106,109,95,89,81,157,235,226,221,220,219,218,217,216,214,212,212,211,208,195,207,255,253,223,196,156,133,115,102,97,72,116,205,236,225,225,225,222,220,219,219,217,215,214,213,211,209,192,224,255,245,192,155,146,131,105,94,67,100,224,236,225,227,226,226,224,223,222,220,218,218,217,213,212,209,194,243,255,235,167,129,122,113,93,75,77,205,236,227,230,229,228,226,226,223,223,221,219,219,218,214,212,211,208,255,255,219,139,121,115,101,81,62,166,240,230,234,233,230,230,227,226,224,223,223,222,221,219,216,214,213
6,157,160,162,165,168,170,172,175,176,177,179,179,180,182,183,184,184,184,184,184,185,185,186,185,184,184,183,182,157,161,164,166,169,170,173,175,177,178,180,180,181,183,183,184,184,184,185,185,186,185,185,185,185,185,184,184,157,160,163,166,169,171,173,175,177,178,180,181,182,182,184,185,185,185,186,186,186,186,186,186,186,185,185,184,159,161,164,167,170,173,176,177,178,178,180,182,183,184,185,185,185,186,187,187,187,187,188,186,186,185,186,186,159,163,166,168,171,173,175,177,178,179,181,183,184,186,185,185,187,189,189,188,188,188,188,187,188,186,187,187,159,162,166,169,172,174,176,178,179,179,181,184,185,186,185,186,188,188,189,189,189,190,191,190,190,188,187,187,160,164,166,170,171,173,176,178,179,179,180,180,182,184,181,182,182,187,186,181,181,172,171,179,186,189,189,188,161,164,168,168,173,184,188,178,179,185,189,191,194,197,186,188,189,201,198,187,184,169,157,174,177,163,190,188,160,161,163,180,197,202,196,177,164,171,190,195,197,194,185,181,190,186,184,183,175,164,156,164,158,151,192,188,157,168,190,204,201,199,194,183,150,129,147,152,155,157,157,156,150,146,150,149,147,148,153,159,163,184,191,188,184,204,203,195,195,201,204,186,150,116,108,103,105,124,133,142,161,177,182,184,186,188,190,190,192,190,189,189,205,199,195,198,203,201,185,153,138,121,115,116,107,116,170,195,193,191,191,192,192,192,190,190,190,189,190,189,202,199,200,198,198,189,176,156,132,118,113,122,125,116,121,144,191,192,191,192,191,191,192,191,191,190,189,190,202,202,200,198,199,198,204,181,133,120,107,108,123,127,125,101,127,193,192,191,192,192,191,191,191,191,190,190,198,199,198,197,198,207,203,167,133,123,124,120,114,115,125,124,97,138,198,191,193,192,191,191,191,191,190,189,196,197,194,193,201,207,180,150,135,129,127,129,127,107,105,110,112,114,193,193,193,192,192,191,191,192,190,190,189,190,187,188,194,196,176,149,127,119,126,134,142,124,113,104,101,139,192,189,190,189,188,188,188,188,187,188,191,191,189,187,192,193,185,153,124,105,104,115,145,142,127,114,107,127,136,133,131,132,130,130,129,129,127,127,193,194,195,193,199,198,184,145,123,126,123,119,111,121,128,122,120,110,107,108,109,109,108,106,105,106,104,103,192,191,188,188,197,190,172,142,129,132,131,127,121,113,109,115,117,115,115,115,116,116,115,113,113,113,112,111,184,178,173,179,184,174,162,145,136,135,135,126,118,114,115,119,120,119,116,114,114,113,113,114,113,112,111,110,172,168,163,172,171,158,146,137,129,124,130,128,126,123,120,120,119,120,116,116,115,114,114,114,114,113,113,112,159,157,150,147,144,133,123,118,116,109,111,117,121,122,118,116,118,117,115,115,114,113,113,114,113,113,112,113,140,133,124,119,119,119,121,120,119,120,119,117,119,119,118,118,117,117,116,116,114,114,114,114,113,112,113,108,113,116,118,118,120,121,121,121,120,120,121,120,120,119,119,118,116,117,116,117,114,114,114,113,113,113,106,125,117,120,121,120,120,120,120,120,120,120,119,118,119,119,118,116,115,116,116,115,114,113,114,114,115,106,115,191,120,121,121,122,121,120,120,120,120,120,119,119,119,118,118,117,116,116,116,115,115,115,115,116,115,105,179,194,120,120,121,120,120,119,119,118,119,119,118,119,119,118,118,117,116,115,115,116,115,115,114,120,107,156,203,172
3,141,143,143,143,143,144,145,144,145,144,144,145,144,143,141,139,138,130,139,135,135,134,132,131,128,126,124,123,145,146,147,147,146,147,147,148,147,147,149,148,146,146,144,144,149,89,118,144,138,136,135,134,132,130,127,126,148,150,150,151,151,151,151,152,151,151,152,153,151,150,148,148,141,71,89,153,139,140,139,138,136,134,131,129,152,153,154,153,154,155,155,156,157,155,154,154,155,154,152,151,140,69,71,154,144,144,142,141,139,137,135,132,156,157,157,158,159,159,159,160,160,159,159,158,157,157,155,155,139,65,63,157,147,147,146,145,142,140,138,135,159,160,161,160,161,163,162,162,162,162,161,161,161,160,159,158,138,72,60,156,150,149,148,147,146,143,140,138,162,163,164,164,164,165,165,166,165,165,166,164,164,163,161,162,148,79,54,155,155,152,150,149,148,146,144,141,165,166,167,167,167,168,168,168,168,168,167,168,167,166,164,163,144,65,54,160,157,155,153,152,151,149,147,145,167,169,170,169,169,170,169,169,169,168,170,170,170,169,168,162,133,81,62,150,161,157,156,154,154,151,150,147,169,169,169,172,172,172,172,172,172,172,173,173,172,172,170,165,147,109,58,134,168,159,159,158,156,154,151,148,170,171,172,173,173,174,175,174,174,175,175,175,174,172,173,166,150,107,45,122,173,160,160,160,157,156,154,150,173,173,174,173,173,174,176,176,175,175,176,176,174,175,173,170,161,108,48,95,179,159,162,162,160,158,155,153,175,174,175,175,175,175,177,178,177,176,177,178,179,172,155,143,136,133,85,114,155,173,163,162,161,159,157,154,175,176,175,176,177,178,179,179,179,179,181,180,172,164,154,105,62,116,128,157,84,141,174,164,163,161,159,155,176,177,177,179,179,179,180,179,180,182,175,157,108,121,156,104,58,72,131,129,58,32,113,173,163,163,161,158,178,178,180,180,181,182,181,181,183,175,164,148,98,69,120,131,82,53,104,113,66,37,40,161,169,163,162,160,179,179,180,181,182,182,181,183,181,166,151,127,122,101,83,139,95,46,51,78,80,45,34,148,173,164,164,161,180,180,180,181,182,182,182,183,177,158,124,83,106,108,65,103,108,50,39,60,98,58,27,138,176,165,164,163,179,180,180,181,183,184,185,186,181,157,139,82,49,87,30,62,102,38,43,58,104,92,28,114,180,166,166,164,179,180,180,182,183,184,185,185,187,161,130,103,72,52,31,57,65,22,51,98,119,107,35,117,181,167,168,165,179,180,181,181,182,183,184,184,189,161,141,135,99,60,60,81,70,59,127,135,119,73,54,168,172,168,166,162,180,181,182,182,184,185,185,185,189,168,134,135,110,80,71,95,140,147,156,121,91,38,111,183,164,166,168,171,179,179,180,182,183,184,184,184,188,177,131,132,114,87,74,82,147,145,129,99,60,38,157,179,177,177,156,120,186,186,186,187,188,188,189,190,189,192,140,112,107,87,80,77,127,129,109,75,31,94,188,158,134,98,51,29,143,147,151,155,161,165,169,172,174,180,164,107,105,97,94,73,98,110,87,44,51,125,81,47,27,19,19,24,74,75,77,77,78,82,82,83,83,81,94,129,105,102,87,64,64,64,40,27,52,40,19,15,22,16,15,12,83,83,84,84,82,82,89,86,87,83,103,152,132,105,74,59,58,56,33,33,35,27,30,11,16,10,7,8,83,84,83,84,84,84,91,89,91,87,120,139,137,112,90,78,66,55,30,32,28,24,19,18,5,6,2,6
6,166,167,170,172,173,175,176,175,174,174,175,176,175,174,174,173,174,173,173,172,171,171,171,171,169,168,167,166,167,169,171,172,174,176,176,176,178,177,178,177,178,176,176,175,175,175,173,173,171,172,172,172,172,171,167,166,167,169,172,173,175,178,178,178,180,179,178,178,178,178,176,175,176,175,174,174,173,174,174,172,172,171,168,167,166,169,172,174,176,178,178,179,179,178,179,179,178,178,178,177,176,176,175,174,173,174,174,173,172,172,171,169,168,170,172,174,177,177,178,180,179,179,180,180,179,178,176,176,176,176,178,177,177,179,176,175,174,172,171,170,168,171,172,175,178,178,179,180,179,179,176,172,166,157,139,140,147,153,151,152,154,150,161,165,172,174,172,171,169,172,174,175,178,177,175,180,180,182,179,174,171,158,138,140,152,159,147,149,133,125,173,156,136,177,171,172,169,172,174,179,182,172,176,187,189,190,184,175,167,154,139,137,149,156,152,149,146,133,162,145,118,177,172,172,171,174,174,201,190,172,174,176,173,164,156,151,142,139,123,100,96,112,118,123,128,124,128,129,159,177,173,173,172,174,176,211,188,170,162,156,161,167,167,160,146,143,148,116,98,162,159,162,163,167,169,174,179,175,174,173,173,173,180,193,165,160,164,170,177,183,177,165,157,152,152,126,93,183,186,185,184,183,182,180,178,177,176,173,173,171,199,191,158,157,162,170,179,183,180,172,161,150,133,110,80,150,188,180,181,181,179,179,180,178,176,174,174,174,200,175,159,155,158,162,167,170,171,164,150,142,128,88,80,118,189,180,182,182,181,180,180,180,178,176,174,177,187,160,171,168,167,166,171,179,179,164,141,143,145,88,77,107,185,183,183,183,182,181,181,179,178,177,174,176,185,185,185,174,177,177,185,189,174,158,147,148,135,95,82,102,180,186,186,185,182,181,180,179,178,177,175,173,188,213,193,170,174,175,177,176,169,158,151,136,111,95,91,107,185,185,186,185,183,181,180,180,179,178,173,172,192,209,189,171,167,157,145,142,144,141,135,122,87,86,98,159,190,185,184,184,184,181,179,179,177,177,173,171,191,195,187,175,159,142,137,152,162,154,152,157,101,69,107,183,186,184,182,182,183,181,180,178,176,174,176,173,191,187,198,181,159,160,178,186,168,151,144,150,110,79,131,189,184,184,183,182,181,181,180,178,177,174,175,173,192,185,193,178,162,164,172,172,156,145,137,124,102,92,148,192,183,184,183,182,181,181,180,179,178,176,173,167,187,189,182,170,164,163,166,160,152,135,119,101,88,97,166,187,184,185,185,183,182,181,180,179,178,177,176,168,179,188,187,171,162,156,150,133,118,101,89,100,135,162,186,183,185,186,184,185,184,183,182,181,180,172,164,158,175,185,174,159,147,136,121,101,90,74,91,154,181,179,176,176,177,176,175,176,177,176,176,176,166,205,96,100,168,176,152,142,136,128,101,89,93,92,99,101,101,99,100,100,100,100,98,98,99,99,100,91,191,252,95,97,164,166,142,144,138,117,95,91,98,104,91,87,88,86,86,86,87,85,84,83,83,83,71,176,255,243,94,105,168,156,140,153,136,106,93,90,103,100,92,93,93,93,91,95,102,96,96,100,99,77,178,255,246,243,90,114,174,153,144,152,132,106,91,91,110,97,93,93,92,91,90,92,93,92,92,96,78,160,255,248,244,236,90,127,177,150,140,143,120,98,89,97,108,94,94,93,92,91,90,90,91,91,95,83,130,253,246,250,235,232
4,119,122,125,126,130,131,133,137,139,141,145,144,144,148,148,148,150,151,148,150,150,152,152,151,149,149,149,149,123,126,128,130,132,135,136,139,140,141,147,147,148,148,148,158,144,144,154,152,152,152,153,152,153,152,151,151,126,130,131,134,137,137,139,142,143,144,145,154,141,161,201,190,123,74,143,157,156,158,155,155,155,155,154,153,129,132,134,137,139,141,142,147,151,154,181,180,118,92,150,170,111,57,64,98,96,143,161,157,158,157,156,154,132,134,138,140,143,144,151,147,119,181,203,184,128,66,41,143,106,55,34,84,62,70,167,158,160,159,159,157,135,137,140,144,145,146,196,180,117,123,127,184,133,84,24,89,131,84,35,102,101,59,160,162,162,161,160,161,138,140,143,147,142,178,186,177,173,143,78,135,160,106,1,92,166,115,75,92,115,85,149,168,163,164,162,163,141,145,147,147,152,198,166,121,126,101,44,65,165,97,11,135,161,108,68,59,77,73,103,176,164,166,165,165,143,147,151,151,155,204,189,148,127,120,109,56,104,72,39,96,122,90,73,74,69,64,78,148,175,166,166,166,145,149,152,155,152,189,187,169,142,118,109,77,67,89,81,92,119,99,99,80,50,88,92,89,178,169,170,167,147,152,154,158,156,183,187,160,131,101,81,70,77,99,102,119,131,120,111,83,86,128,122,75,133,181,170,171,149,154,156,161,157,191,192,162,136,100,78,70,81,92,110,128,145,149,168,185,170,152,133,110,78,169,174,173,152,156,159,164,160,192,201,170,141,106,80,76,83,96,121,158,149,179,190,180,168,148,116,90,52,126,187,173,153,159,161,164,161,188,205,174,152,122,87,76,79,99,140,158,151,178,174,166,151,131,105,80,56,79,184,177,154,161,162,167,166,188,208,181,162,133,100,82,84,100,148,162,171,180,182,166,142,124,103,77,60,65,178,181,157,163,165,169,168,190,211,187,170,140,112,95,95,97,140,169,182,184,178,168,141,117,92,73,51,86,191,181,159,165,167,170,169,187,210,194,178,148,120,114,109,101,136,172,184,183,180,167,134,105,80,69,46,142,195,183,161,165,169,173,173,182,205,200,190,158,133,126,120,109,144,168,182,184,181,161,127,95,77,61,61,185,189,188,163,167,171,173,174,179,199,203,196,170,145,136,127,115,151,168,172,184,172,146,116,91,77,45,105,201,187,189,166,170,173,175,180,175,192,203,197,175,156,144,131,122,144,174,172,172,155,128,105,85,74,46,161,198,190,191,170,174,174,177,182,180,180,197,190,176,158,146,136,121,119,163,168,152,135,111,94,84,62,73,199,191,194,193,171,174,177,180,182,185,173,192,193,179,157,147,140,121,103,148,166,150,125,100,81,85,46,138,204,191,194,194,174,176,180,182,185,191,174,193,201,182,158,147,142,125,105,138,157,140,115,89,77,51,93,201,194,196,195,194,177,179,181,184,187,192,177,197,200,174,149,143,143,121,102,130,143,126,94,80,51,86,194,198,196,196,194,197,177,181,184,187,188,191,184,200,195,165,145,148,145,128,105,119,124,110,80,61,65,190,202,195,198,205,208,196,178,182,185,187,189,194,177,196,202,168,158,161,152,140,111,106,106,100,76,43,147,207,194,205,206,175,119,72,181,184,187,189,191,198,180,196,208,173,169,179,155,143,110,93,94,97,61,61,191,197,209,169,86,39,24,21,183,186,188,190,192,201,143,192,213,191,190,189,157,143,109,90,94,99,49,94,207,204,148,50,33,14,16,11
10,146,150,153,156,159,162,164,166,166,167,168,169,170,170,170,171,171,170,171,171,171,171,172,171,170,170,168,168,149,152,156,159,162,164,167,169,169,170,171,172,173,173,174,173,173,174,173,173,173,173,174,173,173,172,172,171,152,155,159,162,165,167,170,172,173,173,174,175,176,176,176,176,177,176,177,177,176,176,176,177,177,176,175,174,155,158,162,165,169,171,173,175,177,178,179,179,178,179,178,146,177,180,180,179,178,180,180,179,180,179,179,177,157,160,164,167,171,174,177,179,180,180,181,181,181,183,189,133,156,183,182,181,181,182,183,183,183,182,181,180,160,163,167,170,173,177,180,181,181,183,184,185,185,185,195,165,128,182,185,184,185,186,186,185,185,184,183,182,162,166,169,173,176,179,181,183,184,185,185,186,187,188,196,188,143,163,188,187,187,187,188,188,187,187,186,184,164,168,172,175,179,181,183,184,186,187,187,187,184,180,193,212,175,136,188,190,189,190,190,190,189,188,188,187,166,169,173,178,181,184,185,186,187,188,190,193,178,127,166,216,197,133,171,192,193,194,193,193,192,191,189,188,167,171,176,180,182,185,187,189,190,191,192,195,195,145,116,199,203,154,139,194,194,195,195,195,194,194,193,192,170,174,178,180,184,187,189,191,192,193,194,196,212,195,154,154,190,172,119,195,196,197,198,197,197,196,195,195,171,175,179,182,185,188,190,192,194,196,196,207,189,221,188,129,138,175,107,188,197,199,199,199,199,198,196,196,173,176,180,183,186,190,192,194,194,198,205,201,156,156,186,136,99,123,100,170,199,200,200,200,200,200,200,199,173,176,181,184,187,191,194,195,195,210,215,186,141,75,153,159,106,77,83,122,201,203,202,202,201,201,202,201,174,178,181,185,188,193,195,196,197,209,220,159,99,38,101,157,129,85,71,88,189,204,203,203,202,202,202,202,175,179,182,187,190,194,195,199,209,194,217,175,114,46,80,150,153,122,80,81,169,205,204,205,205,203,202,202,175,179,184,188,192,194,196,201,220,209,194,208,177,93,92,173,170,147,90,76,157,207,206,207,207,205,204,203,176,179,183,188,192,195,196,199,203,219,196,179,194,152,142,195,178,152,98,73,152,209,208,208,208,206,206,205,175,179,183,187,191,193,195,198,181,189,183,138,174,181,130,202,179,145,106,76,146,208,209,208,208,207,206,206,176,180,184,187,190,194,195,198,208,182,163,140,123,172,189,213,186,144,99,78,146,209,208,208,207,206,206,206,176,180,184,187,190,193,195,199,218,207,166,151,149,217,224,213,180,135,95,80,152,209,208,208,207,206,206,207,176,180,184,187,190,194,196,198,208,216,187,181,175,228,219,200,169,122,95,85,145,209,209,208,208,207,207,207,177,181,185,189,191,194,196,199,205,216,196,205,184,223,209,183,157,123,110,95,137,210,210,209,209,208,208,207,172,177,182,185,189,192,194,197,200,210,209,214,190,201,200,177,161,134,131,102,146,210,209,209,209,209,208,208,111,116,120,123,128,134,138,140,144,200,217,212,197,174,190,178,174,148,132,99,147,194,196,198,200,202,202,203,97,97,97,95,95,97,99,99,101,153,209,200,186,170,176,182,188,151,120,94,100,109,112,114,118,120,120,123,98,99,99,102,104,104,102,101,103,111,192,182,176,168,169,184,188,148,112,91,104,105,104,105,104,104,103,103,98,98,99,101,101,103,102,101,102,100,169,181,177,172,179,176,179,148,109,91,113,111,109,113,112,113,112,114
4,135,136,136,137,138,136,136,136,137,135,134,135,135,133,131,132,134,134,130,129,129,128,128,127,126,125,124,123,137,137,138,139,139,140,138,138,138,136,135,137,135,138,140,131,119,121,133,131,130,130,129,129,128,127,125,125,139,140,140,141,141,142,141,139,138,142,150,148,130,111,142,166,136,91,82,142,136,133,129,130,130,128,127,126,142,142,143,142,142,143,140,143,146,114,142,158,133,80,57,135,133,85,41,88,114,119,136,132,130,128,129,128,142,143,144,144,145,139,155,167,136,90,57,134,116,70,33,91,108,62,41,28,72,67,82,137,130,130,129,130,144,144,143,145,145,144,179,173,124,90,39,117,108,68,27,71,95,63,36,37,68,50,32,129,135,132,131,130,146,146,144,147,144,154,175,168,134,145,60,82,137,115,26,51,119,97,41,51,76,48,32,126,137,134,132,131,146,146,146,148,146,154,179,149,156,170,83,56,163,121,28,36,135,103,38,57,116,79,46,129,138,135,133,133,146,148,148,149,149,149,180,160,148,122,63,42,109,87,39,35,76,84,13,54,149,93,64,138,137,136,134,134,148,149,149,150,148,153,192,183,158,125,92,72,46,42,47,65,110,118,52,45,104,70,92,146,138,136,136,135,150,150,151,154,146,169,197,171,142,128,109,98,82,95,102,118,152,112,74,52,49,28,122,145,140,138,137,136,151,152,151,155,147,180,186,150,119,97,107,164,133,139,155,125,134,100,91,63,50,43,132,144,141,140,139,137,152,154,154,155,150,189,185,152,128,103,101,158,134,137,146,136,120,116,113,76,39,34,129,146,139,141,139,137,153,156,156,154,157,197,186,157,131,107,85,101,109,106,120,103,97,142,133,91,50,28,124,149,141,142,140,140,156,157,157,153,165,199,180,159,128,93,82,71,55,59,99,66,82,152,146,100,64,31,114,153,143,142,142,141,158,158,159,154,174,197,180,159,118,92,93,87,67,90,154,149,112,151,157,99,73,32,104,155,143,143,142,141,158,159,160,154,177,195,182,156,116,98,105,88,72,158,180,165,151,129,147,106,82,42,87,158,144,145,143,142,160,159,162,156,182,195,173,134,115,115,106,76,127,186,182,166,143,135,112,97,79,47,97,157,145,146,144,143,161,161,162,157,186,191,162,132,141,115,90,92,180,188,182,162,133,119,101,76,67,41,131,152,147,146,144,144,162,163,161,167,193,186,158,147,145,110,78,138,192,182,168,149,128,106,92,70,49,53,153,148,149,147,145,144,162,162,172,121,178,189,158,149,150,102,111,165,190,170,154,140,122,99,78,63,27,105,159,149,149,148,147,146,163,170,152,41,73,172,166,153,143,91,123,164,177,156,145,133,110,85,68,44,49,154,152,151,152,150,148,147,168,165,66,45,37,57,134,149,119,87,105,158,160,142,129,118,96,74,56,28,122,162,153,154,154,151,150,148,177,94,38,46,47,35,44,85,88,71,92,128,140,125,113,100,81,62,29,74,165,154,155,155,154,153,151,149,118,48,53,40,35,42,37,31,35,59,83,101,118,105,94,76,63,34,41,156,160,156,156,155,154,153,151,149,50,49,49,37,35,35,34,41,22,26,54,72,88,72,59,52,37,27,135,166,158,160,159,157,155,154,153,151,53,48,37,37,33,34,32,35,33,0,9,21,34,35,22,18,24,127,170,158,161,160,160,158,156,155,154,153,47,41,36,36,30,30,27,28,39,9,0,4,3,4,6,0,72,179,160,162,162,161,161,160,157,155,155,153
15,94,100,107,114,118,118,122,127,132,136,139,141,144,146,149,150,153,155,157,158,159,161,161,162,162,162,164,164,94,102,108,115,118,119,123,129,133,137,140,143,146,149,150,152,154,156,158,159,161,162,162,162,163,165,165,164,95,104,109,115,119,120,124,130,134,137,141,145,146,150,151,154,156,158,160,161,162,163,163,165,166,166,167,167,97,104,110,117,120,122,126,132,135,139,142,144,147,151,153,155,157,159,161,162,163,164,165,167,167,167,167,168,97,105,112,119,121,123,128,132,137,141,143,146,150,152,155,157,158,160,162,162,164,166,167,168,168,168,169,170,98,105,115,117,119,123,128,133,139,143,145,149,152,153,156,158,160,161,163,165,166,167,168,170,170,170,170,171,99,108,111,136,146,131,132,134,140,143,147,150,153,154,156,160,161,162,165,167,167,169,169,170,170,171,172,172,100,109,110,177,171,146,145,139,143,148,148,147,150,156,160,162,162,165,166,167,168,171,171,172,173,173,173,173,101,110,114,148,158,144,143,136,150,153,150,145,135,139,150,154,159,166,168,170,172,173,173,173,175,175,175,175,102,110,118,123,130,127,123,121,138,142,144,145,138,146,142,144,149,157,162,154,158,168,177,172,175,176,176,177,104,111,119,126,127,128,131,132,137,136,132,130,137,147,144,138,134,144,160,153,144,134,148,180,177,175,178,178,105,112,121,126,128,130,137,142,146,148,145,140,139,137,132,126,124,142,153,164,147,132,122,137,180,179,177,179,105,114,122,128,129,132,138,143,146,151,155,157,160,157,150,137,144,157,153,155,151,140,143,127,127,177,182,180,106,115,123,129,131,132,139,144,147,151,154,156,160,165,167,188,180,163,131,135,166,138,150,150,121,119,180,183,107,115,124,130,132,134,140,144,149,153,154,164,165,142,144,170,175,150,105,111,171,134,153,152,146,111,119,183,108,116,125,131,132,134,141,145,150,154,153,179,163,131,133,175,184,150,119,123,149,146,156,149,140,124,99,114,110,118,125,132,132,135,141,146,150,155,157,171,144,129,138,182,186,146,123,129,126,134,145,134,124,123,113,99,111,119,126,132,133,135,141,147,152,156,159,162,160,133,143,179,170,138,126,134,134,132,140,128,108,116,116,113,110,120,127,133,133,136,142,149,152,156,161,159,198,193,130,112,116,116,133,146,142,145,148,132,115,117,116,113,111,119,128,134,135,137,144,149,152,157,163,159,190,204,153,84,51,41,53,82,132,143,142,130,128,126,112,105,112,120,129,134,136,139,144,149,153,158,163,160,186,201,152,94,70,56,35,21,71,131,128,121,109,94,80,67,113,121,129,134,136,140,145,149,154,158,163,162,181,205,136,94,109,102,79,55,42,79,87,75,60,53,49,41,113,123,129,134,135,140,145,150,155,159,164,165,175,206,141,114,140,125,120,114,76,58,55,54,51,50,50,45,112,122,129,133,134,139,143,149,153,157,162,165,170,206,160,109,151,130,125,97,66,60,58,57,54,51,50,48,112,121,129,132,134,139,144,150,154,159,162,165,164,197,177,101,173,176,134,79,59,56,57,57,54,52,51,49,112,122,130,133,135,140,146,151,156,160,163,168,164,194,164,95,177,189,143,71,56,56,56,57,55,52,53,54,113,122,130,134,136,140,147,152,157,161,163,168,169,181,128,145,183,188,154,72,65,61,58,55,54,53,54,53,112,123,131,135,137,141,147,151,157,161,164,167,171,172,169,181,180,183,186,101,71,66,60,55,54,54,54,51
6,157,158,159,159,160,160,159,159,159,158,159,157,156,156,155,154,154,152,151,150,150,150,150,148,146,146,105,119,158,159,160,160,161,160,159,160,160,159,159,158,158,158,157,156,155,154,153,152,151,152,151,150,148,146,142,107,160,161,162,162,162,162,161,161,162,161,160,159,159,160,158,158,156,154,155,154,154,153,151,151,150,147,147,134,161,163,163,164,164,164,163,163,163,163,162,160,160,160,159,158,158,156,156,157,157,153,152,151,150,149,146,140,162,164,164,165,165,165,164,164,164,163,162,162,161,161,160,160,159,159,157,157,156,155,153,153,151,150,147,144,164,164,165,166,167,165,165,166,165,165,165,164,163,161,161,162,161,159,158,158,158,157,155,153,153,152,151,147,164,165,165,167,168,168,167,168,166,165,165,166,165,164,164,162,161,157,157,157,157,155,151,151,147,149,149,149,165,166,167,168,169,170,168,168,170,169,166,164,161,156,154,151,150,133,133,145,146,134,141,139,145,178,135,143,165,167,169,170,169,169,168,167,161,152,154,155,150,151,154,154,146,143,133,150,154,140,143,145,137,162,120,139,167,169,170,170,170,169,169,174,155,138,145,155,157,161,163,162,149,131,132,127,128,119,110,111,103,107,128,153,168,169,170,171,171,168,177,184,161,148,140,139,142,138,135,129,121,113,93,89,82,87,120,125,139,151,156,153,168,169,170,171,172,170,185,185,171,160,146,134,130,123,118,109,99,83,62,50,49,135,170,162,161,158,154,153,169,170,171,173,172,176,190,187,181,156,128,123,127,133,132,126,118,112,110,79,109,171,159,159,158,157,156,154,170,171,172,174,171,183,195,191,178,133,109,116,120,129,133,132,124,115,116,91,120,172,161,162,160,159,157,156,171,173,174,174,170,191,192,189,156,114,121,119,111,113,128,120,112,112,106,71,125,171,162,163,160,159,158,157,171,173,174,172,175,194,189,188,164,147,135,122,103,104,130,124,118,121,107,81,160,167,164,163,162,160,159,158,172,174,175,171,187,191,189,191,189,178,146,120,125,132,133,126,115,106,104,90,137,172,164,164,162,160,159,157,174,175,172,176,192,191,192,188,187,184,141,111,116,121,120,118,106,98,98,73,132,173,164,165,163,161,159,157,173,175,169,182,190,193,190,184,183,168,134,114,110,103,106,112,109,104,88,85,161,169,165,165,164,161,161,163,174,167,169,187,190,192,185,178,173,169,155,140,114,83,90,109,106,105,81,113,174,164,166,164,160,161,160,141,174,157,180,188,190,186,183,183,177,172,176,166,126,98,110,127,117,101,93,82,158,169,164,163,164,170,110,47,164,163,186,188,188,185,187,184,174,177,180,156,112,96,103,105,97,88,79,76,157,169,168,171,149,97,46,37,160,178,183,186,184,180,176,172,170,177,167,135,104,99,98,89,82,77,73,131,178,170,147,100,58,37,37,34,172,179,184,181,174,169,163,164,164,152,136,113,100,92,75,104,118,134,155,161,126,87,49,35,36,36,37,36,178,178,181,175,163,160,158,155,154,137,116,106,106,100,110,155,138,118,93,62,39,22,26,34,34,30,32,30,176,177,171,162,153,144,153,152,142,133,123,112,94,71,72,52,37,30,28,36,27,15,24,28,30,27,29,27,175,174,168,159,148,139,140,136,125,118,104,83,57,39,25,29,29,30,33,34,17,10,20,24,28,26,26,28,177,170,164,151,133,128,123,111,97,88,70,50,31,39,30,19,24,25,29,30,12,8,17,22,26,23,23,27
7,141,143,144,144,143,143,142,142,142,143,143,143,144,142,142,140,140,140,126,7,0,16,36,39,68,98,116,144,144,146,148,147,147,146,146,146,148,147,147,146,145,145,144,144,143,148,98,0,6,38,30,33,65,93,121,145,150,151,151,150,152,152,152,152,153,152,152,152,151,150,148,148,144,153,66,0,14,26,32,25,59,100,129,148,154,154,154,153,154,154,154,153,156,155,153,149,148,151,146,144,140,146,108,69,90,29,20,46,69,116,138,140,158,159,159,158,159,158,157,158,159,158,161,147,128,147,157,146,128,130,118,143,188,76,12,46,82,133,140,129,162,162,162,163,166,164,160,163,173,180,174,155,138,149,149,144,131,124,117,111,155,82,34,64,106,146,141,128,166,167,166,165,165,166,176,187,191,187,176,156,156,150,110,120,147,135,135,122,119,97,96,146,128,149,152,135,172,170,173,171,163,173,184,183,179,171,169,170,161,146,119,128,152,137,134,127,98,90,74,112,106,146,159,153,174,171,196,191,177,175,178,174,174,175,171,171,162,135,130,119,102,84,76,74,59,53,62,64,72,143,158,164,174,180,210,193,169,164,173,177,176,172,164,152,137,114,97,83,79,84,101,99,71,149,141,113,75,143,154,166,178,187,206,188,151,146,160,163,160,141,109,89,62,55,97,157,170,169,184,150,106,199,114,154,89,134,151,159,179,192,199,175,141,148,150,127,101,72,83,120,78,80,90,64,164,179,175,166,146,95,85,185,92,114,149,145,180,196,195,174,174,169,150,133,123,134,139,135,125,119,133,47,83,193,172,176,173,103,157,192,100,84,145,137,187,199,199,202,210,181,136,140,147,145,136,120,115,114,106,45,77,194,177,178,173,166,147,171,135,74,133,140,190,200,202,212,210,173,126,126,123,113,113,107,99,91,66,56,175,185,181,180,176,174,187,171,154,132,137,143,193,201,205,208,188,158,140,127,96,70,79,97,92,88,69,81,193,184,183,182,183,179,150,103,110,145,140,143,201,206,205,196,175,164,165,170,130,97,113,132,123,101,97,80,144,197,185,183,184,192,146,96,126,137,137,145,207,210,201,186,175,163,179,179,129,97,107,111,99,83,83,54,141,199,185,187,187,190,180,132,153,129,135,143,205,207,199,187,174,177,195,169,122,97,98,95,90,81,59,77,189,192,191,190,187,186,187,153,143,133,124,138,203,206,197,182,181,189,181,147,108,86,72,65,52,34,58,169,200,191,191,190,188,189,190,166,146,141,120,126,199,198,188,180,182,169,148,124,104,92,62,33,50,103,173,204,194,194,192,191,190,190,193,175,148,155,130,106,191,190,182,177,177,158,138,128,113,90,99,161,185,208,204,199,196,196,194,195,193,192,195,177,145,160,152,123,185,182,181,174,170,158,146,130,88,60,185,215,202,200,198,198,199,197,197,197,195,192,194,176,142,156,155,140,182,171,174,173,154,143,131,94,42,132,218,202,203,203,202,201,200,198,197,197,196,195,194,177,143,152,151,144,178,164,157,149,134,119,95,51,83,209,207,206,207,208,205,205,201,199,200,200,197,196,198,178,145,152,147,137,168,155,146,125,103,82,48,58,188,211,207,208,206,207,205,204,203,203,201,201,198,196,199,172,148,152,146,137,144,132,120,97,68,45,65,177,215,207,209,209,209,209,207,207,204,203,200,201,200,199,195,160,152,152,146,133,123,108,99,83,54,96,190,216,208,209,209,209,209,210,209,208,207,205,203,203,201,203,179,151,157,156,150,138
18,157,159,160,161,162,164,166,167,167,168,169,171,172,172,173,175,175,175,176,177,177,177,178,177,176,176,176,176,157,159,161,162,163,165,166,168,168,169,170,171,172,173,174,176,176,176,176,177,177,178,179,178,178,177,177,177,158,160,162,163,165,166,167,168,169,170,171,171,172,173,174,175,176,176,176,177,177,178,179,179,179,178,177,177,159,160,163,164,165,166,167,169,170,171,172,172,174,174,175,167,162,172,177,178,178,179,180,180,179,179,179,179,159,161,164,164,165,167,168,169,170,172,173,173,173,175,178,161,136,147,172,178,176,176,178,179,180,180,180,180,159,161,164,165,165,166,168,170,171,173,175,168,159,167,176,163,127,111,149,169,161,156,167,179,181,181,180,180,159,161,163,165,166,167,169,171,171,177,181,167,143,146,174,163,136,109,117,138,138,129,137,174,181,181,181,180,160,161,164,165,166,167,170,168,164,180,184,167,141,138,180,176,157,127,105,108,120,115,110,158,181,182,181,181,161,162,164,166,166,170,178,167,147,167,183,164,140,145,184,189,171,137,104,94,106,105,97,143,181,182,182,181,161,163,165,166,167,179,189,169,140,157,181,162,138,153,182,187,172,137,101,83,92,96,92,142,182,183,182,182,162,164,165,166,168,183,192,170,139,150,179,162,133,155,181,186,169,135,98,76,81,86,93,151,183,183,183,183,163,164,165,166,170,180,186,170,139,142,174,158,121,132,168,186,167,130,94,74,74,79,102,163,184,183,184,183,163,165,166,167,174,181,175,164,139,128,156,145,107,93,148,186,163,125,91,73,70,77,116,174,184,184,184,185,163,165,167,171,178,171,157,145,126,104,122,121,90,75,152,187,160,121,88,73,72,80,127,179,184,185,185,186,164,165,167,177,184,166,147,127,109,89,102,108,89,106,177,185,155,121,89,72,73,85,139,183,185,186,186,186,165,166,167,181,189,170,149,130,115,92,102,120,138,169,191,179,150,119,91,77,76,96,158,185,186,186,186,186,165,166,169,187,190,170,150,134,123,111,123,161,191,189,179,168,143,113,89,79,79,116,174,185,186,186,186,185,166,166,172,194,188,169,152,138,133,134,158,197,203,184,164,155,134,104,86,82,97,150,183,185,185,185,185,184,166,166,178,197,186,171,159,145,141,151,187,208,199,176,152,143,124,96,86,94,139,178,185,186,185,185,185,184,166,167,183,199,186,176,165,149,152,175,203,205,190,167,143,132,114,91,89,125,173,185,186,186,186,186,186,185,167,168,184,199,189,180,169,154,166,192,201,196,182,157,135,122,105,88,105,161,185,186,186,186,187,187,186,186,167,168,181,198,191,182,171,161,175,195,193,184,172,148,127,113,96,91,138,180,187,187,187,187,187,187,187,187,167,168,180,197,191,181,171,168,177,190,183,174,159,140,118,104,91,108,167,186,187,187,187,188,188,187,186,186,167,168,182,193,185,176,169,170,176,182,173,168,150,132,110,96,89,133,182,187,187,187,188,188,189,188,186,186,167,168,183,184,175,170,166,170,176,175,165,165,150,124,103,91,98,157,185,187,187,187,188,188,189,188,187,186,167,169,183,176,168,168,167,170,175,170,162,163,147,118,97,90,124,177,186,187,188,187,188,188,188,188,187,187,167,171,189,182,173,173,175,176,177,165,157,155,136,110,93,105,159,185,187,188,188,188,188,189,189,188,187,188,166,173,195,189,177,177,180,180,178,157,150,145,126,103,93,135,180,187,188,188,188,189,189,189,189,188,188,188
11,85,89,95,100,105,107,111,114,117,119,120,124,133,112,125,123,123,124,123,123,123,122,121,122,105,125,135,139,88,94,100,105,108,112,116,119,122,124,123,129,148,82,122,128,126,125,124,124,123,122,122,118,118,139,140,145,92,96,104,111,114,118,122,125,127,129,128,134,167,77,107,136,128,129,128,127,127,126,124,120,138,93,137,148,96,101,109,115,120,122,127,130,133,135,134,141,170,74,95,143,133,134,132,132,131,130,128,126,127,132,150,145,99,105,114,120,124,128,133,137,139,141,140,148,165,69,98,148,138,139,138,137,136,135,133,130,129,134,111,140,102,107,118,125,130,134,138,142,144,146,145,157,170,72,104,154,143,145,144,143,142,139,137,134,134,126,111,143,104,111,122,129,134,138,143,146,149,153,148,175,163,57,118,159,149,150,150,148,147,144,142,140,138,136,134,148,108,115,128,134,139,143,147,151,154,158,153,190,162,55,135,162,155,155,155,153,151,150,147,144,143,140,138,156,111,119,131,138,143,147,152,156,159,159,162,169,104,60,142,166,159,159,158,158,157,155,153,150,148,145,142,159,114,123,134,141,147,152,156,160,163,160,192,165,73,55,148,169,163,163,163,163,161,160,158,155,152,149,146,160,117,125,137,145,150,154,160,161,168,168,113,131,104,64,156,171,167,166,167,165,164,163,160,159,155,155,149,159,119,129,141,148,153,158,161,170,204,165,66,65,119,73,148,177,170,169,170,168,167,166,164,160,164,137,74,169,121,131,143,151,155,158,170,133,134,145,102,62,108,76,127,182,171,173,173,172,170,170,170,166,173,90,34,97,123,134,146,152,156,175,188,124,64,87,131,74,80,81,100,184,173,176,176,175,170,159,147,145,138,55,44,36,125,136,148,153,177,182,154,149,118,65,102,83,62,94,71,175,180,179,173,166,166,148,129,128,105,56,44,43,127,139,147,178,183,125,86,124,145,80,62,73,53,117,92,147,186,171,172,171,170,144,119,100,78,46,38,40,128,140,151,187,162,107,75,57,131,84,54,77,40,109,126,79,140,175,181,162,128,97,59,33,31,32,30,38,129,141,151,178,141,88,63,37,103,95,58,90,44,72,116,86,142,171,153,107,69,45,24,27,27,25,31,27,130,143,149,169,137,93,71,52,70,101,68,102,70,118,127,108,135,130,89,43,25,39,35,19,23,25,34,6,129,142,149,172,155,109,82,63,61,79,92,117,111,159,126,90,101,67,23,32,22,25,38,29,14,17,17,14,130,144,151,175,160,118,97,71,71,81,134,172,175,148,106,85,60,31,17,21,32,19,25,33,22,15,14,15,132,145,153,175,164,133,106,77,86,89,158,181,160,129,92,68,10,17,34,12,26,29,17,22,28,15,13,14,125,136,144,169,164,140,110,88,95,93,151,167,137,105,82,56,11,2,32,26,14,27,24,15,20,22,8,13,85,88,82,124,163,146,116,103,99,96,133,155,129,95,71,36,27,0,19,32,20,18,25,17,11,21,11,6,85,86,83,96,154,149,123,113,102,90,122,138,118,86,41,10,36,0,4,28,26,21,18,18,9,13,17,4,87,87,88,90,152,147,128,117,102,79,106,108,89,56,12,3,34,15,0,19,29,20,18,16,11,8,10,11,87,88,89,89,152,155,132,115,99,82,88,89,57,10,14,8,24,29,0,4,28,22,15,17,14,9,6,7,86,88,90,81,141,155,118,102,93,84,85,76,40,7,0,13,16,33,10,0,18,24,14,15,15,8,7,3
13,189,191,194,196,196,197,199,202,203,203,204,204,205,206,205,205,206,205,204,205,205,205,205,205,205,204,203,202,190,192,196,197,197,200,203,204,205,204,206,206,207,208,207,208,207,206,206,206,205,204,205,206,204,205,206,205,192,195,198,198,201,204,204,205,206,206,207,208,210,210,210,210,211,209,208,211,206,206,207,208,207,207,208,207,194,197,198,200,202,204,206,207,207,208,208,210,212,213,211,212,211,216,218,204,213,207,210,209,210,210,210,209,198,198,200,202,204,205,207,209,209,210,210,211,212,212,212,212,213,252,233,166,182,220,204,212,213,212,212,211,198,201,203,205,205,207,210,211,212,212,212,213,211,215,214,210,228,255,219,151,177,245,171,154,214,213,213,212,200,202,205,206,206,208,212,212,213,213,215,212,216,254,227,195,247,247,231,142,198,232,174,103,176,221,212,213,201,204,207,208,209,211,213,214,214,216,216,208,238,255,245,200,209,206,181,101,202,228,162,96,150,228,213,215,202,206,208,209,212,213,215,215,215,217,217,230,223,255,255,228,159,99,106,92,197,186,111,78,158,228,216,218,204,207,209,211,214,214,215,217,217,214,241,255,209,193,255,239,185,94,86,133,209,173,125,89,164,230,219,220,206,208,209,212,215,215,216,220,217,223,255,255,242,167,227,240,182,122,56,99,219,241,236,139,167,231,219,222,207,209,212,214,215,218,219,222,215,246,255,255,255,201,158,215,168,114,63,128,218,231,229,180,174,231,222,225,208,211,215,215,217,221,222,221,219,255,246,246,249,207,119,179,202,119,126,250,245,220,197,185,152,226,224,225,209,212,216,216,219,222,223,220,239,255,249,223,210,165,94,151,224,158,231,255,246,223,189,165,138,223,229,226,211,213,216,219,220,221,224,221,243,255,255,227,196,163,112,83,199,243,255,251,243,214,181,137,159,234,226,226,213,215,219,222,221,221,226,223,240,255,255,228,184,180,144,115,251,255,255,252,230,192,167,125,183,237,228,227,214,216,220,222,222,223,225,223,247,255,255,239,221,192,219,239,255,255,255,248,215,187,158,118,196,239,229,229,214,218,221,223,224,225,228,225,249,255,255,250,244,222,234,246,255,255,249,241,209,178,137,118,218,236,231,231,216,219,222,224,224,228,231,225,244,255,255,255,246,231,230,236,255,250,235,234,207,155,114,155,242,231,234,232,218,221,223,226,228,228,230,229,238,255,255,255,248,227,232,238,249,232,222,218,176,124,110,220,241,233,235,235,221,223,224,227,229,231,236,231,226,255,249,235,215,208,226,233,250,234,219,194,143,89,155,248,234,237,237,237,221,224,226,227,229,228,181,169,165,158,139,122,117,113,115,121,134,126,127,125,102,112,243,240,237,238,237,237,221,224,228,228,233,220,143,144,144,135,118,111,105,96,87,81,62,52,49,44,42,67,159,237,240,238,238,238,223,225,228,229,234,231,154,143,145,131,118,114,109,96,89,79,69,60,53,45,40,38,23,111,252,235,240,239,224,226,228,230,234,239,162,140,140,128,118,114,105,93,83,75,64,55,49,44,39,45,26,153,255,240,241,241,222,225,228,229,231,240,166,142,139,128,126,116,102,89,80,73,64,53,48,42,42,25,108,255,241,243,242,242,222,225,226,229,232,239,169,136,139,126,123,114,99,83,74,70,62,54,47,43,39,40,220,250,242,242,242,242,222,225,227,231,233,239,168,136,135,125,118,108,93,81,73,70,63,54,47,43,28,95,255,240,244,242,242,242
20,118,119,120,120,121,121,122,121,122,122,121,121,121,121,120,118,119,117,115,114,113,111,109,108,107,106,104,102,121,121,122,124,124,124,124,124,125,125,125,124,123,122,120,121,121,119,119,117,115,114,111,110,109,107,105,105,126,126,127,127,127,128,127,127,128,128,128,128,126,134,128,80,125,127,120,120,119,117,116,114,113,110,108,107,128,129,132,131,131,131,132,132,131,131,131,132,129,136,139,66,86,112,127,122,121,120,119,117,116,113,112,110,132,134,134,135,135,135,136,135,135,136,135,136,134,138,140,63,45,66,115,130,125,123,121,121,118,116,114,112,136,136,137,138,139,139,139,138,138,138,139,139,136,145,136,45,78,86,84,138,128,127,125,125,122,120,118,116,139,140,140,142,142,143,142,142,142,142,143,143,140,150,136,47,100,105,63,139,132,131,128,128,125,123,122,120,144,144,144,145,146,146,146,146,147,146,147,147,142,159,141,56,102,117,60,136,136,134,133,132,129,126,125,122,147,147,148,148,149,149,149,148,149,150,150,149,145,167,125,48,112,135,63,129,142,137,136,135,133,129,128,127,150,149,150,150,151,152,151,151,151,153,153,151,151,177,112,53,132,133,59,125,147,140,139,137,137,134,131,129,153,153,153,154,155,155,155,155,154,155,155,139,124,153,122,66,139,133,54,120,151,142,142,140,138,137,134,133,156,157,157,157,157,157,158,157,157,157,158,166,151,121,102,64,113,139,70,118,153,144,144,143,141,139,137,135,157,158,158,159,161,161,161,159,159,160,159,145,163,142,115,88,94,136,76,111,157,146,146,145,144,141,139,138,159,161,162,162,163,162,163,162,162,161,165,133,93,128,148,88,49,88,63,102,160,148,149,147,146,144,142,139,162,163,163,163,164,163,164,164,164,164,167,152,39,96,147,97,47,39,40,91,164,149,151,149,148,145,143,141,164,164,164,164,165,164,165,165,165,165,168,145,56,71,134,127,77,63,31,73,166,153,153,151,150,148,145,143,165,165,166,166,165,166,167,166,167,163,159,139,103,62,54,112,107,88,39,52,166,155,154,153,151,149,147,144,166,167,167,167,168,168,168,169,167,163,157,146,129,91,46,76,104,90,48,37,159,159,157,156,152,151,149,146,168,169,169,169,169,170,170,170,164,154,112,105,137,114,68,56,88,121,82,31,138,168,157,157,156,154,150,148,170,170,171,171,170,171,172,171,161,156,126,55,74,119,55,37,63,123,113,45,78,173,159,158,157,155,152,151,172,171,172,173,173,173,173,173,163,150,119,76,35,80,55,32,84,143,136,74,35,157,165,160,157,157,155,152,173,173,173,174,174,174,174,176,163,153,145,102,46,68,74,55,143,160,129,69,38,159,166,162,160,158,156,153,174,175,176,176,176,176,176,178,162,156,158,101,68,73,122,145,171,137,113,41,60,173,163,164,162,158,155,154,177,177,177,178,178,177,176,180,164,153,152,117,80,70,155,180,157,117,97,29,96,178,162,164,163,159,157,156,177,177,178,179,178,178,178,182,166,141,137,119,83,69,146,158,136,102,76,30,131,175,164,164,163,161,157,156,175,176,177,177,177,178,178,181,171,139,136,119,92,78,139,154,125,89,54,35,162,170,165,164,163,161,161,166,177,177,178,178,178,179,179,179,180,148,133,122,107,79,130,147,110,71,26,81,180,166,165,163,163,166,154,106,178,179,179,179,179,180,181,181,183,157,140,123,104,75,101,117,78,46,18,145,176,167,167,164,156,113,57,11
5,83,89,93,97,99,103,105,106,108,112,113,114,114,119,120,122,123,124,127,127,128,129,131,130,130,131,132,132,84,90,94,97,101,104,106,107,111,113,114,115,119,120,121,122,123,127,128,128,131,131,131,131,131,132,133,132,86,91,95,98,102,106,108,109,111,114,117,117,92,120,123,123,126,129,130,130,121,130,131,133,133,133,133,133,86,92,97,99,103,107,105,112,114,114,116,132,63,105,127,124,128,130,128,139,86,108,136,132,133,133,134,133,88,93,97,100,104,109,124,84,109,118,118,139,66,100,131,125,128,129,131,142,67,101,140,132,135,136,136,135,89,94,98,102,108,103,143,93,78,123,120,146,76,102,132,127,130,130,141,105,56,130,136,137,138,138,137,136,91,95,99,104,108,104,128,123,66,121,125,145,83,99,133,127,129,140,137,61,87,145,135,139,139,138,137,137,92,97,101,105,111,109,120,154,86,107,133,129,65,97,136,129,132,139,102,63,134,139,138,140,140,139,139,139,92,98,102,106,111,112,115,169,111,86,136,116,72,95,138,125,125,101,53,104,145,137,139,140,141,141,141,140,94,100,103,107,112,113,111,157,143,78,129,112,88,90,135,118,115,51,76,145,140,141,141,142,144,143,142,142,94,100,105,109,113,115,113,133,167,125,101,98,91,78,110,113,101,55,132,141,140,141,141,143,144,143,144,143,95,101,106,109,113,114,116,119,160,162,115,72,81,59,73,102,72,85,146,140,143,144,143,143,144,145,145,142,95,101,106,110,113,114,117,118,138,174,144,94,60,56,59,66,56,123,145,143,143,141,143,146,146,147,146,146,95,101,106,110,113,114,117,121,122,168,154,106,62,47,51,48,59,143,137,134,130,128,134,137,134,133,139,137,96,102,108,112,114,115,119,122,119,161,159,106,61,43,43,45,59,100,122,123,114,129,146,139,133,132,121,87,98,103,107,111,115,117,120,123,122,172,156,110,68,39,39,43,64,75,100,102,72,75,97,91,94,116,103,62,98,104,108,112,116,117,122,120,132,184,145,104,67,42,38,45,59,64,56,61,74,113,118,119,119,126,90,79,97,103,109,114,116,117,122,117,152,183,133,99,63,42,40,43,46,50,86,119,145,155,151,132,130,92,81,143,97,103,109,114,116,119,123,119,171,171,127,94,58,41,42,47,32,94,153,156,149,137,116,119,110,63,145,152,98,104,109,113,116,119,120,132,185,164,122,80,57,38,39,52,64,89,96,121,121,116,127,123,72,90,158,145,99,104,110,114,116,120,117,153,184,152,110,80,61,37,42,59,81,94,90,85,111,123,117,86,84,140,152,149,99,104,111,114,116,119,120,173,176,141,102,88,65,35,54,87,103,108,98,92,113,92,81,117,154,154,151,151,100,105,111,114,117,115,135,183,169,136,103,92,67,36,64,103,105,108,102,77,66,90,141,157,151,151,151,150,101,106,111,114,117,114,164,180,160,132,104,87,66,39,73,109,96,106,87,54,102,153,153,150,151,151,151,150,101,106,111,116,112,135,182,165,154,128,88,74,56,40,82,102,91,89,72,126,156,150,151,152,152,152,152,150,101,106,111,116,113,164,171,152,143,114,73,67,47,50,79,84,84,73,133,155,149,151,152,151,152,153,152,151,101,106,112,111,140,168,154,145,141,113,61,57,50,58,61,68,88,132,154,148,151,152,152,152,152,153,153,152,101,106,111,114,170,158,149,137,148,106,48,60,62,49,50,99,147,151,150,151,151,151,152,153,153,152,153,152
13,163,168,170,171,173,175,177,179,179,180,181,182,182,182,182,182,181,179,180,179,177,176,175,175,174,171,170,168,166,169,170,172,175,177,178,180,180,182,183,184,184,184,184,184,183,183,183,181,179,178,178,177,176,174,172,170,167,169,172,174,175,178,180,181,183,185,185,185,185,185,184,185,185,185,185,184,182,182,180,179,178,176,175,173,168,171,174,175,176,178,182,184,185,186,186,188,188,188,188,185,186,189,188,185,185,184,183,181,179,179,177,175,169,172,174,175,177,180,183,185,186,187,187,190,191,182,186,192,188,184,189,190,184,185,184,183,182,181,178,176,169,173,175,176,179,182,185,186,188,189,189,191,179,142,113,170,182,136,110,161,194,186,185,184,184,182,180,178,171,174,176,177,181,183,185,187,188,190,188,195,189,153,120,98,143,136,86,83,194,188,188,186,186,184,181,179,172,175,177,178,182,185,187,188,189,192,192,195,207,166,142,81,109,146,108,59,169,196,190,189,187,186,182,181,173,177,178,179,183,186,188,190,191,193,193,192,203,171,131,81,86,135,106,51,153,200,189,190,190,188,185,184,173,177,179,181,183,186,188,192,193,194,198,200,194,169,126,87,67,104,88,46,150,200,189,190,189,187,186,184,174,179,180,182,184,187,190,193,193,189,158,173,171,165,128,100,66,105,96,51,169,200,191,191,190,188,187,185,174,177,180,183,186,190,192,193,196,171,114,96,103,150,170,126,78,112,114,54,166,203,192,192,192,190,188,187,175,179,181,184,186,189,194,194,207,166,122,109,76,131,196,142,79,92,106,48,103,208,192,193,192,192,190,189,175,181,182,185,188,190,191,178,139,156,142,129,87,53,139,105,71,84,80,70,61,167,204,192,193,192,191,189,175,180,183,185,188,186,199,164,101,102,160,133,113,48,24,35,52,89,89,95,81,96,206,195,194,192,192,191,177,181,184,185,186,201,203,144,119,95,132,142,113,85,24,48,66,74,119,118,106,62,172,203,194,194,193,191,177,181,185,187,190,204,162,151,136,119,93,138,120,100,42,49,117,126,131,119,106,60,148,208,194,195,193,192,177,182,186,187,190,210,162,136,134,116,93,109,112,77,45,53,143,161,155,109,92,61,164,207,194,194,192,191,178,182,185,188,194,200,162,116,106,104,78,50,82,69,58,74,160,158,149,118,80,64,191,203,197,195,194,192,179,183,187,188,192,194,182,156,112,77,53,33,68,94,75,126,181,153,140,112,63,87,209,199,200,197,195,193,180,184,187,187,190,194,191,169,137,112,96,91,93,104,114,184,177,144,123,107,54,120,216,200,201,198,196,194,181,186,186,188,192,191,186,176,152,134,109,107,126,167,180,182,161,137,114,97,50,155,213,200,202,198,196,194,181,185,186,190,192,194,182,163,147,127,107,109,121,181,177,165,147,125,106,81,54,187,208,201,201,199,197,194,181,186,187,189,192,196,174,152,148,128,114,117,117,164,171,161,136,113,95,66,72,210,203,202,201,199,198,196,183,186,187,190,192,199,187,159,149,132,125,120,119,158,167,155,129,98,85,42,123,218,202,203,201,200,197,196,182,185,185,189,192,197,201,167,147,143,129,113,109,139,154,139,111,83,63,53,194,209,204,203,201,199,198,197,181,185,187,189,192,195,200,193,158,141,123,113,106,121,138,127,98,80,42,117,220,203,205,202,201,199,199,199,179,183,186,187,191,195,197,200,180,144,124,110,109,114,130,123,97,78,47,172,212,203,203,201,200,199,197,196
22,138,142,146,148,150,152,155,158,159,159,162,163,163,163,162,162,163,163,163,162,161,162,161,159,158,157,156,156,142,145,148,151,153,155,157,160,162,162,163,165,165,165,170,158,148,165,164,164,164,164,164,162,160,159,158,157,144,148,151,153,156,157,159,162,165,173,143,159,168,167,186,152,112,166,167,166,166,166,165,164,163,162,161,160,145,150,153,156,159,160,162,164,171,187,117,145,172,171,190,149,113,168,169,168,150,152,167,165,165,164,164,164,147,152,156,159,162,164,165,166,173,184,119,138,175,173,183,142,119,171,171,171,131,121,171,168,167,166,166,165,150,153,158,161,163,165,167,169,172,187,131,129,177,176,178,145,126,175,176,178,126,123,173,171,170,168,168,167,151,155,159,162,165,167,169,172,173,193,149,126,177,178,182,152,129,177,182,180,121,137,175,173,172,170,171,170,154,158,162,165,168,170,172,175,175,196,165,123,173,180,177,148,128,178,191,180,116,154,177,174,174,172,172,172,157,161,165,167,169,172,173,176,177,196,169,116,163,181,176,144,129,182,197,174,114,167,179,177,176,175,174,173,157,162,166,168,171,174,176,178,178,200,189,123,149,184,185,140,132,190,196,153,114,177,181,179,178,178,176,175,159,163,167,170,173,176,178,180,181,193,190,129,143,186,187,133,142,201,198,131,126,184,181,181,180,179,178,176,161,165,169,172,174,177,180,183,199,188,177,147,142,166,176,132,161,206,185,113,153,187,184,183,182,181,180,179,162,166,170,173,176,179,181,190,217,183,186,199,180,141,136,174,184,191,158,108,174,188,186,185,184,183,182,182,163,167,171,176,179,181,183,194,211,173,138,198,201,156,102,143,161,164,128,118,186,188,187,187,185,185,184,183,165,170,174,177,181,183,184,199,202,180,113,121,186,181,133,94,112,122,98,138,191,189,189,188,186,186,185,184,168,172,175,179,183,186,186,209,205,168,121,81,130,198,173,116,87,87,84,161,194,191,189,188,187,187,186,186,170,174,177,180,184,187,188,214,193,153,121,116,126,193,201,153,111,83,83,173,195,193,191,190,189,187,187,187,170,175,179,182,186,188,190,219,203,158,140,148,158,215,203,166,133,86,85,184,196,195,193,192,191,189,188,188,171,177,181,184,187,190,193,221,199,159,146,168,198,227,193,155,124,79,93,192,196,195,195,193,192,191,190,189,173,178,183,186,189,192,195,222,204,174,163,169,217,218,182,137,111,77,119,199,197,197,196,195,195,193,191,189,174,179,184,187,190,194,196,220,210,183,174,171,223,205,167,127,100,75,145,203,199,199,197,197,196,194,193,191,175,180,184,188,192,194,196,216,209,190,183,177,214,188,154,118,93,74,157,204,201,200,200,198,197,195,194,193,176,181,185,189,192,195,197,211,213,198,192,178,205,173,143,112,86,74,169,204,202,202,202,200,199,197,196,196,177,181,186,190,193,197,199,204,212,201,195,176,202,164,135,104,83,83,182,205,203,203,202,201,201,199,198,197,178,183,187,191,195,198,200,203,212,196,181,162,185,155,135,107,81,104,199,206,205,204,203,202,201,200,199,198,179,184,188,193,196,199,201,203,215,189,164,161,183,144,143,111,75,146,208,207,207,206,205,203,202,201,201,199,180,185,190,194,197,200,201,205,225,205,184,179,185,139,146,96,85,189,210,209,207,206,206,206,204,202,202,200,179,184,189,193,197,200,201,205,228,215,200,192,179,137,135,83,112,205,210,209,207,207,207,206,205,203,202,200
4,181,184,187,190,192,194,197,198,199,202,203,204,204,205,206,207,207,206,206,206,205,205,205,204,204,204,204,203,182,185,188,191,193,195,197,199,200,203,204,205,206,208,208,207,209,211,209,207,207,207,206,206,204,205,204,204,183,186,189,192,194,197,198,200,202,204,205,204,205,208,210,215,196,177,201,211,209,209,207,207,207,206,206,205,183,187,190,193,194,197,199,201,205,207,205,212,200,175,202,235,201,157,154,221,210,209,209,209,208,208,207,205,184,187,191,194,197,199,200,203,204,201,214,242,212,174,164,236,203,165,140,199,197,211,211,209,208,208,208,207,186,188,192,195,198,199,201,202,211,210,201,231,222,186,151,223,207,163,113,149,170,161,212,212,210,209,209,209,187,190,193,196,199,201,201,208,236,234,188,175,232,199,149,209,210,158,107,151,179,136,161,219,210,211,210,210,186,191,193,196,199,203,201,218,233,225,178,157,223,187,138,183,192,144,107,158,180,143,126,216,212,212,211,210,187,191,194,198,199,202,202,218,218,217,177,148,205,175,133,151,173,138,118,184,186,141,124,216,214,211,211,211,188,192,195,198,200,204,202,218,213,200,185,155,190,171,135,120,157,119,143,212,175,126,130,219,214,211,211,212,188,192,196,199,202,205,203,219,229,202,189,170,168,201,160,139,154,126,146,182,153,108,132,222,214,215,213,212,189,194,197,200,202,205,203,223,238,216,183,136,143,199,175,194,173,177,182,193,183,132,137,225,214,216,214,213,190,194,197,200,202,205,204,230,234,201,172,144,127,128,143,193,175,196,208,216,201,143,146,225,215,217,215,215,190,194,197,201,203,205,204,235,222,183,158,140,126,122,121,153,177,187,196,199,183,146,133,217,217,217,215,215,191,195,198,201,204,206,207,239,226,194,169,141,129,131,142,144,153,164,167,172,176,160,120,196,224,216,216,215,191,195,198,202,204,206,212,240,223,192,160,142,135,131,142,164,152,178,188,187,189,170,127,160,229,215,218,216,192,196,200,203,205,206,215,239,221,187,157,140,139,132,148,168,173,217,215,220,212,179,142,122,216,220,219,218,193,197,200,203,208,206,216,237,218,188,164,150,144,141,149,164,204,227,229,223,222,189,149,111,190,227,218,219,193,198,200,202,206,206,217,232,214,191,169,159,150,147,145,190,230,229,231,208,205,176,146,113,195,226,218,219,191,196,199,201,205,206,214,229,212,195,171,154,144,150,167,226,236,232,217,199,179,159,126,136,222,219,219,219,191,195,200,201,205,207,212,231,221,189,160,155,150,163,194,239,234,222,199,182,159,137,111,189,226,218,218,219,192,196,199,202,206,209,210,228,222,197,182,180,158,167,210,236,226,209,187,166,146,115,143,227,219,220,219,219,193,196,200,203,206,209,209,226,224,204,185,186,161,158,223,226,212,192,172,152,131,109,201,226,221,221,219,219,193,197,200,202,205,210,206,226,229,208,190,185,160,162,219,213,193,174,152,136,108,149,230,221,221,221,220,220,193,197,201,203,206,209,205,238,234,212,189,176,147,164,207,198,174,154,134,120,108,208,225,221,220,221,220,219,193,198,201,203,208,202,221,242,226,201,182,155,139,171,188,164,139,130,120,102,175,228,220,221,221,220,220,219,190,195,199,202,204,203,239,236,225,209,183,158,156,174,164,134,125,126,109,157,226,220,221,221,221,221,220,221,159,162,161,162,154,196,242,228,224,207,179,167,164,164,151,129,130,129,115,155,165,164,164,163,164,165,165,167
2,180,180,181,181,181,181,180,180,179,178,177,176,175,175,174,174,173,171,170,169,168,166,165,163,162,161,159,159,181,181,182,182,182,181,181,181,180,179,179,178,177,176,174,175,175,173,172,171,170,167,166,165,164,162,160,158,182,182,183,183,182,182,182,182,181,180,180,180,179,177,175,175,175,175,174,173,172,169,167,166,165,163,161,159,184,184,184,184,184,184,184,183,182,182,182,181,178,174,174,172,170,171,172,172,171,170,169,167,165,164,163,160,186,186,186,185,185,185,185,184,184,184,185,190,185,177,175,171,160,157,156,156,158,164,168,168,166,165,164,163,187,188,187,187,187,186,186,186,185,184,191,203,200,194,193,190,176,158,140,127,129,148,156,161,167,166,165,164,188,188,188,188,187,187,188,187,187,184,186,195,192,185,184,184,176,168,151,131,132,141,131,144,166,167,166,165,189,189,189,189,189,188,189,188,194,196,192,195,195,186,175,164,150,152,157,151,153,134,119,148,169,168,167,166,190,191,191,191,190,190,190,196,204,197,189,189,191,186,179,171,152,149,151,138,137,127,137,165,171,170,168,167,191,192,192,192,192,191,195,204,195,173,163,169,175,169,168,176,153,142,142,123,133,146,164,174,173,171,170,168,192,192,193,193,193,195,205,203,184,179,183,184,180,169,165,165,138,126,134,143,166,174,176,174,171,170,170,170,193,193,193,194,194,199,208,199,193,198,197,180,159,144,132,136,148,161,168,174,180,176,163,149,144,155,168,171,193,193,194,194,195,201,206,203,196,182,161,138,114,99,90,120,172,184,185,183,173,146,118,105,102,116,155,171,194,194,194,194,196,204,209,204,179,144,116,95,84,76,71,94,162,185,186,178,142,106,98,101,101,104,146,171,194,194,195,193,195,210,213,190,152,116,90,77,73,71,69,74,121,173,183,156,109,99,105,108,111,124,158,172,194,195,195,192,196,217,206,166,125,100,82,72,72,72,72,71,83,121,147,123,98,106,110,113,133,157,171,173,195,195,196,193,201,216,190,145,113,95,78,71,73,74,74,76,77,78,87,97,99,106,109,132,164,174,174,173,196,196,196,192,200,205,173,133,107,89,73,72,76,80,82,85,88,83,78,93,101,102,116,158,177,178,176,174,195,195,195,191,197,198,165,128,102,85,73,74,81,88,92,96,100,99,90,96,103,105,135,174,180,179,177,175,194,194,194,187,196,197,164,128,103,87,75,76,86,96,102,107,110,111,101,97,104,114,154,179,180,179,176,174,194,195,194,184,195,193,161,130,107,93,81,78,90,103,112,116,119,117,107,101,113,142,172,180,179,177,177,179,195,196,195,184,193,188,159,131,111,99,88,82,93,108,116,119,120,115,107,114,147,172,181,181,181,184,197,207,195,196,195,184,190,185,159,134,116,105,94,85,95,108,114,116,115,111,110,140,176,182,183,189,201,205,220,228,195,196,195,184,187,181,156,134,119,109,97,88,97,105,108,109,107,109,130,168,184,184,191,217,234,223,217,227,192,193,193,182,185,178,153,133,118,108,99,93,99,101,102,104,107,128,163,182,185,190,212,237,240,236,219,212,161,162,163,163,181,176,152,131,115,107,102,98,99,100,100,102,117,143,158,162,173,207,234,242,234,229,229,210,110,111,112,134,180,174,148,125,113,108,105,100,96,99,100,95,99,104,107,118,173,230,242,242,228,218,228,225,99,100,103,139,182,171,146,122,111,108,105,101,96,99,98,93,91,92,94,136,215,241,243,242,223,210,223,228
23,177,182,185,189,192,192,195,198,200,200,202,203,203,203,205,205,204,203,203,202,203,201,200,201,200,198,197,197,178,183,187,191,194,195,197,199,201,203,203,205,205,206,206,208,206,206,207,206,206,204,204,204,202,201,200,200,179,183,189,193,195,197,199,201,202,205,207,208,208,208,208,209,208,206,208,213,209,205,205,206,206,204,202,201,181,186,191,194,197,199,200,203,205,206,207,209,210,210,209,211,215,204,177,181,207,210,209,208,207,207,204,203,184,189,193,196,199,201,203,204,206,209,209,212,212,211,219,220,221,205,199,169,188,201,209,211,209,208,207,206,186,190,195,199,201,202,206,207,208,211,212,214,214,236,216,212,237,175,181,192,188,138,182,218,210,210,209,207,188,193,196,201,202,204,207,209,211,212,215,212,231,232,197,167,174,113,153,158,136,147,209,216,213,212,211,210,190,196,199,202,204,207,209,211,213,214,217,214,243,221,212,111,149,196,221,217,208,220,218,217,215,215,213,213,192,196,200,203,206,208,210,214,215,217,218,223,245,223,222,132,178,236,217,222,223,217,219,218,217,217,216,215,193,196,201,204,208,210,212,215,217,218,215,226,237,221,219,185,204,219,203,164,203,223,219,220,218,218,217,217,193,198,204,207,209,213,215,217,218,229,224,213,211,214,230,229,232,226,204,121,148,237,220,221,221,219,218,218,195,201,206,208,212,214,217,216,222,246,228,207,193,199,209,199,196,187,173,125,137,238,221,224,224,223,221,219,197,201,206,210,213,216,218,216,229,249,230,200,169,176,220,225,217,202,180,126,122,235,224,226,226,224,223,222,197,202,207,211,214,217,220,218,240,250,233,200,177,175,187,192,198,212,191,126,103,232,228,227,226,225,224,223,198,203,208,212,215,218,220,223,250,252,236,215,214,216,197,169,154,164,155,112,98,226,232,228,229,227,225,224,199,205,211,214,216,220,219,230,255,249,234,215,214,199,213,197,174,160,124,103,90,136,215,240,229,230,227,225,201,206,211,216,217,221,223,245,253,251,237,206,194,163,194,214,180,149,112,94,105,142,136,207,239,230,230,228,201,207,212,216,219,217,234,255,255,248,216,156,145,141,134,171,196,149,99,92,104,134,100,87,222,236,230,230,202,208,213,217,219,220,252,255,252,226,203,169,125,102,91,198,224,133,98,85,101,114,97,73,165,245,229,232,203,209,214,219,216,247,255,255,241,213,201,173,129,100,161,207,184,117,87,93,110,113,95,82,188,242,231,232,204,210,215,216,226,255,255,252,227,212,200,161,122,103,146,147,129,97,77,104,122,109,95,178,243,235,234,233,206,211,217,213,250,255,255,245,225,212,188,156,117,80,84,88,102,98,92,107,106,119,206,247,237,237,237,234,206,212,215,226,255,255,255,235,216,201,179,142,111,87,102,112,120,114,107,91,155,232,246,237,239,237,237,237,207,211,213,255,255,252,241,223,206,190,162,130,108,98,119,128,128,112,99,181,251,245,239,239,239,239,239,238,206,208,231,255,255,240,227,208,191,172,151,125,106,104,123,121,105,89,195,255,243,243,242,241,239,239,239,239,216,209,250,255,249,231,219,202,181,165,145,124,102,102,116,95,102,206,253,244,245,244,243,243,241,240,239,239,86,164,255,254,243,219,195,190,173,150,134,109,94,88,91,135,228,255,246,246,245,244,244,244,243,241,241,240,47,151,254,238,236,204,195,183,137,120,100,75,74,127,193,251,252,244,246,246,245,245,245,244,244,242,240,241
13,148,151,153,155,156,157,159,161,161,160,160,161,161,163,165,163,162,165,163,163,162,163,162,164,163,163,163,163,150,152,155,157,159,160,162,162,162,163,163,162,163,163,156,164,169,164,164,165,165,164,167,166,166,166,164,164,153,155,158,159,160,161,163,162,163,166,171,167,171,164,115,77,149,172,165,165,167,168,168,168,169,169,167,167,154,157,161,161,162,164,165,165,166,162,144,151,184,169,121,36,108,186,169,175,169,171,171,171,170,171,171,170,155,158,161,161,164,167,168,164,185,166,106,80,150,166,120,45,86,108,91,133,176,171,171,171,169,170,171,171,157,159,162,164,166,168,168,162,195,186,132,75,142,171,107,40,62,124,71,25,152,181,173,173,172,172,172,173,159,159,163,166,167,165,172,135,88,128,154,81,133,168,96,32,137,149,87,20,106,190,174,175,175,177,176,175,161,163,165,168,166,176,183,135,89,53,137,79,124,191,95,65,157,122,80,23,110,189,174,177,178,178,178,177,163,167,169,167,177,178,175,156,112,53,105,95,89,156,78,69,165,129,72,15,137,188,176,178,180,179,179,179,164,169,170,170,184,142,154,164,108,51,68,115,42,7,12,79,180,134,54,24,160,184,179,180,179,181,180,179,166,168,168,177,184,149,125,150,112,46,45,106,57,0,22,120,127,67,16,44,182,182,181,182,179,181,182,181,169,170,171,189,178,144,102,154,107,48,39,85,62,0,13,132,146,100,42,94,198,181,184,183,182,182,182,182,169,170,172,196,181,144,91,140,100,48,31,85,71,32,134,134,130,122,92,63,182,185,185,185,184,183,183,184,170,171,175,197,171,135,86,110,104,58,30,131,100,97,177,150,120,91,73,35,139,197,185,186,185,185,185,185,172,172,177,196,173,145,119,93,98,95,12,112,131,165,166,143,116,74,55,38,154,194,186,188,187,186,186,185,171,172,181,196,174,152,132,100,69,53,27,137,178,186,162,130,104,69,47,51,182,189,187,189,189,187,187,187,172,172,182,197,175,150,133,125,86,71,96,183,184,185,151,117,90,61,40,80,197,187,190,189,190,188,187,188,174,173,180,190,176,155,141,135,99,85,90,171,185,170,129,99,76,53,35,140,201,190,193,190,190,189,189,189,174,175,177,180,178,160,145,139,111,83,92,172,182,151,116,88,66,40,78,195,193,194,193,191,191,191,191,191,174,175,175,180,181,162,145,139,116,87,107,156,170,131,107,76,59,32,146,202,190,194,193,192,192,192,191,191,172,175,176,181,182,163,144,133,115,85,115,147,139,112,94,68,48,55,187,191,191,192,192,191,192,192,191,191,172,176,174,183,181,153,138,123,97,84,124,128,109,99,79,63,35,119,202,190,192,191,192,192,192,191,190,191,173,176,169,185,173,143,135,108,90,93,127,111,99,91,70,48,67,186,192,191,191,192,193,193,193,192,192,192,173,172,168,196,165,147,135,107,102,112,129,105,96,75,59,44,156,197,190,193,192,193,193,193,193,192,192,192,174,168,176,201,169,160,139,108,113,127,113,93,82,58,36,109,195,191,191,192,192,193,193,193,194,193,192,192,174,166,179,184,163,165,144,116,124,120,99,79,63,43,51,179,194,191,192,192,192,194,194,194,194,193,192,192,177,161,177,169,148,150,135,112,112,113,88,60,56,27,117,198,191,193,191,192,192,193,194,195,194,194,194,195,115,135,182,160,139,120,112,99,110,120,72,56,50,33,148,185,183,188,190,191,192,193,195,195,193,196,192,183
14,149,153,158,161,164,165,167,169,171,172,173,174,174,175,175,176,176,176,176,174,174,174,173,172,172,171,170,169,150,155,159,162,166,168,170,172,173,174,174,176,177,178,178,179,177,178,178,178,177,176,175,174,174,173,172,172,152,157,161,164,168,170,173,174,175,176,178,179,179,180,180,181,180,181,180,180,180,179,177,176,175,175,174,173,154,158,162,166,169,173,174,176,178,178,179,181,182,183,182,184,182,181,172,178,180,180,180,179,179,178,176,175,156,160,164,167,171,173,175,178,179,181,182,184,185,184,185,186,198,189,168,166,164,162,180,181,180,181,180,178,158,162,166,170,172,174,176,179,180,181,184,187,187,186,188,204,201,188,172,165,155,140,136,173,182,182,181,181,159,164,168,172,174,176,178,181,183,184,186,187,188,189,204,205,203,181,172,182,161,133,104,118,181,184,183,182,161,166,170,173,176,179,181,183,185,186,187,189,190,197,206,197,182,131,92,151,129,162,96,71,133,187,185,185,162,167,170,174,178,181,182,184,187,188,190,192,200,211,197,138,107,91,65,72,91,178,134,81,99,187,187,186,165,169,172,177,180,181,184,186,187,190,192,203,218,213,181,137,93,58,50,52,52,157,157,104,83,179,189,188,165,171,175,179,181,183,186,188,191,192,196,217,215,184,145,118,91,64,47,56,72,149,139,110,87,156,191,190,165,171,176,180,182,186,188,189,191,191,213,222,206,171,112,77,73,58,53,83,163,194,181,152,99,136,193,191,167,172,177,181,184,186,189,192,191,205,230,215,198,164,112,76,52,52,72,183,198,191,177,133,85,149,195,194,169,173,177,182,184,187,190,192,197,229,223,210,192,147,110,80,45,48,153,199,200,188,168,131,79,113,197,195,170,175,179,184,186,189,192,193,226,234,221,208,182,151,112,67,41,52,106,158,202,175,153,123,83,76,182,197,171,176,181,184,188,192,193,208,238,234,217,199,176,139,100,59,56,67,74,87,173,142,149,124,96,78,168,198,172,178,182,186,190,193,194,232,238,227,210,194,168,117,86,59,82,94,94,94,95,129,146,124,87,113,194,200,174,179,183,188,190,193,209,239,231,219,202,181,148,111,82,79,100,108,107,112,102,126,132,107,96,185,201,202,174,179,185,188,192,194,234,235,222,208,189,175,139,112,87,92,108,112,111,107,111,112,111,94,170,204,203,202,174,179,185,184,139,185,239,231,213,198,183,161,141,111,90,97,112,109,103,100,107,86,82,165,205,206,205,204,175,182,186,145,85,98,181,212,192,174,159,146,122,90,88,90,103,104,95,93,85,83,152,206,208,207,206,206,177,181,170,94,82,78,84,130,160,153,123,92,68,67,75,77,86,88,83,87,138,189,209,209,210,208,207,207,178,181,119,87,75,73,71,74,82,84,74,60,52,54,57,57,66,73,96,173,211,214,214,212,210,209,208,208,178,147,88,81,70,69,67,70,62,26,35,35,32,31,31,31,87,152,199,214,215,214,214,213,212,211,210,209,168,103,83,72,69,66,65,64,68,34,21,27,24,22,21,22,67,210,216,216,216,216,215,214,213,213,211,211,122,83,73,69,67,63,61,61,65,43,13,21,21,19,19,19,99,216,217,217,216,217,216,215,215,214,212,212,93,75,65,63,61,56,57,57,66,41,10,16,17,16,17,19,164,220,219,219,219,218,217,216,215,214,213,213,90,76,67,55,47,84,72,51,66,29,10,15,14,14,16,32,200,220,220,219,219,218,217,217,216,215,213,213
10,53,54,56,59,60,72,90,101,124,122,114,136,138,144,148,152,156,160,162,165,167,169,170,171,171,173,174,174,53,54,56,59,60,73,92,101,139,129,83,125,146,145,151,154,158,162,165,168,170,171,172,174,174,175,176,176,53,54,57,59,61,75,93,107,127,133,97,78,137,151,152,156,160,164,167,170,172,173,175,177,177,177,178,177,54,54,57,59,62,78,96,111,120,126,106,75,80,155,155,158,163,166,168,172,174,176,178,178,178,180,180,180,54,55,57,59,63,81,98,113,122,128,108,90,64,112,165,160,164,167,171,175,177,179,180,181,181,181,182,182,54,55,58,58,64,83,100,115,125,129,127,105,87,65,144,167,165,170,175,178,179,181,183,183,183,183,184,184,54,55,58,60,65,84,101,116,124,129,142,126,95,70,84,170,168,173,177,179,181,184,184,185,184,185,186,186,54,56,58,57,70,89,106,116,138,102,124,149,117,102,64,145,178,174,179,182,183,184,185,185,186,188,188,188,54,57,53,98,118,72,91,126,149,87,75,155,141,115,77,102,182,175,179,182,184,185,187,187,188,189,190,189,54,57,51,107,108,57,48,80,114,94,51,112,162,113,88,65,163,180,179,183,185,187,189,189,190,191,191,190,54,57,56,64,78,59,52,46,56,89,73,58,144,124,87,62,115,190,179,185,186,189,191,191,191,191,192,192,54,56,59,58,75,77,55,50,50,88,97,72,71,122,100,98,63,167,187,185,187,190,191,192,192,192,192,194,54,55,59,60,76,98,100,77,55,81,111,91,60,61,85,103,62,111,194,186,190,190,192,193,194,194,195,195,54,55,58,60,78,97,117,130,109,69,114,111,86,53,55,76,69,65,175,191,191,192,192,194,195,196,196,196,53,54,56,60,79,98,110,138,148,80,61,139,115,83,52,48,61,53,153,197,189,193,193,194,195,195,196,197,52,54,55,60,79,103,120,142,151,116,32,117,150,107,79,56,57,48,137,197,188,191,191,194,194,195,196,197,52,52,54,60,77,125,142,134,166,138,58,65,168,124,104,76,55,44,122,199,189,191,193,194,194,196,196,197,50,52,53,60,78,114,154,128,155,145,87,94,167,137,120,86,56,43,109,198,189,193,195,196,196,197,197,198,52,51,50,59,80,97,138,133,130,141,107,129,157,121,117,81,61,50,102,199,190,192,195,195,196,196,197,197,86,84,84,86,92,95,113,134,130,153,120,115,156,113,112,83,64,54,91,193,191,194,197,199,201,202,203,205,80,82,86,87,87,82,89,137,140,149,156,112,141,124,114,90,66,56,71,118,121,124,128,131,135,138,143,147,84,84,84,88,90,92,86,140,165,138,166,117,81,125,112,92,70,61,60,93,100,100,100,99,99,98,97,98,84,85,86,89,91,92,88,112,169,153,144,134,80,103,109,90,72,62,58,93,108,104,105,107,107,108,109,109,83,85,86,89,90,92,92,96,154,161,154,162,152,115,102,85,71,61,59,87,106,102,103,105,105,105,107,107,84,85,86,88,90,91,93,88,123,157,159,154,162,140,98,77,71,65,60,85,106,104,103,104,104,105,106,106,83,84,85,87,89,90,91,93,94,143,161,152,148,146,104,75,77,71,61,85,104,103,103,105,104,104,105,106,82,82,84,86,89,90,92,94,91,109,154,149,137,129,113,94,91,78,58,77,104,103,103,107,103,103,104,103,81,82,83,85,87,89,91,92,94,90,130,141,129,116,116,114,106,88,64,65,99,103,103,104,104,105,100,129
7,207,206,207,207,207,207,207,206,206,205,204,203,202,201,199,199,198,196,195,192,191,190,188,186,184,182,180,178,208,208,208,208,208,208,208,208,207,207,206,206,204,203,202,201,200,199,198,195,193,192,191,189,187,185,182,180,209,209,209,210,211,210,210,210,209,209,209,208,207,206,204,202,202,201,200,197,196,194,193,191,188,187,185,183,210,211,211,211,213,212,212,213,211,211,210,210,208,208,206,204,205,203,202,201,199,197,196,193,191,190,187,185,213,213,213,213,214,214,215,215,214,213,211,211,210,210,208,207,204,199,192,184,186,183,189,196,194,192,189,187,214,215,214,214,214,214,215,215,214,214,214,213,207,197,185,174,170,164,148,144,180,176,163,196,196,194,192,189,216,216,216,216,217,217,217,217,214,206,194,180,166,156,136,142,142,132,129,128,149,144,153,198,198,196,193,190,216,217,217,217,215,207,194,181,174,164,155,147,145,135,122,122,118,109,111,98,94,119,145,154,181,197,195,193,217,218,218,208,183,158,148,148,150,152,149,142,134,117,116,112,107,110,112,107,103,96,92,112,132,193,197,194,219,219,207,185,170,143,131,137,129,126,124,123,125,131,140,131,104,112,116,99,94,83,79,99,113,189,199,196,216,200,185,182,168,141,122,114,111,120,133,146,152,147,137,119,88,91,93,78,79,80,88,111,156,199,199,197,190,179,180,178,168,158,147,147,148,154,156,146,141,131,120,97,79,87,110,133,158,175,190,200,204,202,201,198,175,177,179,175,172,166,149,137,131,131,127,112,106,104,107,119,147,182,205,213,213,211,209,208,206,203,201,199,177,181,178,176,174,155,119,92,97,95,82,69,64,100,186,214,218,219,216,215,213,211,209,209,207,203,201,199,183,182,179,172,154,135,93,72,74,62,54,52,50,52,114,215,219,218,217,216,214,212,210,209,208,204,201,200,182,182,173,152,142,127,101,88,68,54,53,52,51,49,108,210,219,217,216,215,213,210,209,208,206,204,203,201,183,179,162,147,138,134,137,129,84,57,56,56,53,109,201,218,219,216,215,214,212,209,207,206,205,203,183,149,183,171,149,136,131,135,141,121,73,54,49,42,84,204,222,220,220,217,216,215,213,211,209,207,194,162,98,64,171,147,125,123,120,120,118,89,62,48,45,47,83,216,221,221,218,217,216,215,214,205,182,144,102,70,58,49,146,132,127,128,121,108,98,84,73,56,54,54,129,220,221,221,221,219,218,210,162,113,83,64,56,54,54,46,135,135,132,126,107,86,87,99,86,58,56,122,213,222,220,205,169,155,150,119,79,67,54,51,52,53,54,43,134,125,111,93,80,82,94,99,74,59,87,149,161,151,135,97,64,63,56,58,52,56,53,37,44,52,54,42,117,99,91,88,87,86,82,70,66,93,104,97,85,80,76,55,39,51,42,49,44,43,46,29,35,46,52,37,105,100,100,94,83,75,70,76,105,120,102,83,72,64,57,53,31,41,39,38,39,39,38,25,30,42,48,30,92,90,88,82,74,77,96,113,114,98,79,65,58,51,49,44,35,27,37,30,34,35,32,24,29,41,45,27,73,80,85,90,99,109,115,114,100,66,54,55,52,42,44,40,37,19,29,27,29,33,28,23,32,38,43,23,109,114,117,121,117,114,112,102,71,53,40,45,48,37,38,33,33,17,20,27,26,34,25,24,33,36,40,21,117,119,117,120,115,113,105,82,48,42,39,37,44,31,32,26,29,21,16,25,27,33,22,27,33,38,39,18
0,202,203,205,206,207,209,208,207,207,207,207,206,207,206,205,205,204,204,203,203,202,201,200,198,199,197,196,195,203,204,206,208,209,211,211,210,209,209,209,208,209,207,207,206,205,204,203,204,204,202,202,200,200,198,197,197,204,205,206,209,210,211,211,211,211,210,210,210,211,209,207,206,204,207,206,204,204,202,202,200,200,200,198,199,206,207,209,209,211,212,212,212,212,211,211,210,208,211,208,223,205,181,202,208,205,206,203,203,201,200,199,199,207,208,209,211,211,212,213,214,214,214,212,210,220,206,208,249,212,174,149,191,179,188,208,200,202,201,200,199,208,210,211,212,212,213,213,216,214,213,210,224,243,216,212,252,216,176,144,202,177,139,171,148,182,207,202,201,209,211,213,213,214,215,215,214,216,227,196,235,243,219,210,255,228,164,193,228,172,117,139,124,178,209,202,202,210,213,215,214,216,217,219,210,236,255,213,231,253,217,193,250,233,164,165,205,157,113,146,127,194,207,203,203,213,214,216,217,217,218,218,214,244,255,242,206,255,224,171,217,212,160,128,179,138,136,175,126,189,208,203,205,214,215,216,216,217,220,216,225,234,255,255,187,235,211,150,176,196,156,125,177,132,176,195,129,174,213,203,206,215,217,217,218,218,220,216,233,226,227,224,169,202,193,136,130,200,150,120,186,141,208,203,133,177,214,205,206,215,217,218,219,219,221,215,243,242,214,208,152,178,195,133,110,206,160,123,130,187,228,189,127,189,213,207,206,216,218,218,219,220,220,223,251,214,179,203,168,148,211,143,118,191,212,211,152,199,220,168,126,202,211,209,207,218,219,219,220,220,219,232,255,226,184,168,176,147,196,153,171,226,235,218,195,167,186,157,136,213,210,210,208,217,220,221,222,223,221,234,255,231,201,175,168,204,209,224,237,234,221,198,182,168,148,144,140,215,210,210,208,219,221,224,224,225,220,245,255,237,219,205,189,210,241,248,249,235,215,193,174,160,138,125,147,218,210,210,210,219,222,224,225,226,221,253,255,244,231,215,200,224,251,255,255,237,211,193,170,150,133,120,189,218,213,212,211,221,224,223,225,227,222,254,255,244,227,210,203,228,254,255,255,238,210,185,161,142,122,146,220,215,212,212,211,220,222,224,224,227,222,252,255,246,227,209,200,224,248,251,243,230,204,175,149,132,121,195,219,214,213,213,211,220,221,224,225,227,222,238,255,242,227,215,204,227,240,233,220,202,183,164,143,125,182,221,215,214,214,213,211,220,222,225,225,228,223,235,250,229,231,223,206,224,233,220,197,177,169,151,133,186,223,216,217,216,215,213,211,224,224,226,226,229,225,236,249,232,233,220,206,218,231,210,178,160,153,133,187,225,218,219,218,216,214,213,212,223,224,225,227,228,226,241,255,248,226,211,209,207,218,192,157,149,131,179,227,220,219,221,219,217,216,214,212,223,224,226,224,236,220,217,255,255,225,212,213,196,205,173,146,130,160,227,221,222,220,219,219,218,217,218,212,221,223,227,222,245,255,202,227,247,219,213,204,191,194,154,130,119,204,226,220,220,220,217,218,218,213,200,190,225,226,230,224,249,255,255,167,255,245,232,220,200,190,157,130,124,215,227,227,224,215,221,224,204,183,188,182,177,178,176,170,255,255,255,173,176,255,243,228,204,185,166,155,142,155,167,159,163,208,229,217,197,145,208,193,130,131,119,160,255,255,255,194,129,254,232,215,194,177,160,148,144,136,117,134,208,237,217,195,206,135,181,209
14,157,162,166,169,173,175,177,179,182,184,185,187,190,191,190,191,193,195,197,198,199,199,199,201,201,201,201,202,159,163,167,170,174,176,178,181,183,184,187,189,192,192,194,196,198,199,198,199,199,200,201,202,202,201,202,203,160,164,169,173,175,177,180,182,184,184,186,188,189,196,174,170,184,187,199,203,204,202,202,202,202,201,204,205,162,165,170,173,176,178,181,184,185,184,192,195,196,188,133,123,170,176,192,170,182,208,203,202,203,202,205,205,162,165,169,173,176,179,182,183,185,203,206,188,165,146,127,117,157,181,171,119,151,215,202,206,206,206,206,206,163,167,171,175,177,180,181,187,216,217,184,127,106,112,126,124,135,144,141,108,108,199,208,206,208,208,208,207,164,168,172,177,179,181,181,222,222,186,146,99,77,85,108,121,150,142,149,155,130,164,204,208,209,209,208,208,164,168,173,177,181,178,192,234,179,127,95,103,93,108,119,89,110,134,139,169,177,146,157,216,207,209,209,209,166,170,175,178,181,177,217,219,149,96,89,101,95,127,117,97,118,133,146,136,143,114,119,214,210,209,210,210,167,172,176,178,180,184,234,194,138,88,86,86,88,107,95,121,139,101,142,161,151,140,128,154,216,213,211,212,167,171,175,179,176,204,229,169,108,84,93,100,99,86,91,129,126,114,201,217,204,169,147,124,171,205,213,211,168,173,176,181,179,225,203,146,110,106,100,106,103,104,109,99,116,191,214,209,213,213,178,172,138,193,218,212,168,174,177,177,195,237,192,149,129,107,99,102,103,112,118,93,171,220,208,209,215,198,184,169,134,214,213,214,168,174,179,176,222,234,186,145,118,102,97,97,101,111,105,124,213,209,211,212,213,186,187,137,162,224,212,214,168,174,179,176,229,220,177,144,108,95,95,99,106,109,92,146,219,206,212,215,208,179,181,118,167,226,214,215,169,175,180,179,235,216,169,129,98,95,98,103,108,98,89,126,214,214,214,214,170,174,176,123,148,225,213,216,169,176,177,188,240,204,169,132,103,98,102,106,111,109,117,122,159,204,205,185,182,183,171,120,160,226,214,216,170,177,175,200,241,201,167,130,105,96,100,112,115,125,140,150,141,137,163,185,194,188,147,147,215,217,215,215,171,178,172,213,238,197,165,129,107,99,101,112,122,136,150,160,163,151,184,189,189,158,151,217,219,216,216,216,170,177,173,223,229,195,166,136,113,100,104,116,137,151,164,164,166,160,177,185,151,149,216,221,218,219,217,217,170,177,176,231,221,193,165,139,119,104,103,125,154,166,176,174,165,161,156,148,136,212,221,218,219,219,218,217,171,175,181,231,212,190,162,144,122,106,104,135,170,174,173,174,170,159,122,125,206,220,216,219,219,219,219,219,172,175,188,228,203,184,167,149,126,109,105,143,176,170,170,169,170,134,132,206,221,216,218,220,220,220,219,219,174,174,195,224,196,185,174,151,132,114,110,142,176,170,155,164,145,132,213,222,216,219,220,220,220,220,219,219,173,172,206,226,197,192,177,152,134,122,108,132,164,157,144,145,128,200,223,217,219,219,220,220,220,220,220,220,172,172,223,226,204,197,176,152,135,121,107,123,147,139,144,117,188,222,216,219,219,219,220,220,220,220,220,220,172,180,236,219,211,196,163,142,128,112,110,123,129,123,137,184,222,214,218,220,220,220,221,221,221,221,221,221,166,199,236,208,206,184,144,132,120,111,118,119,111,127,192,222,215,216,217,220,221,221,221,221,221,221,221,221
8,159,162,163,164,164,166,167,167,168,168,166,166,168,168,169,168,167,167,164,162,160,157,156,155,153,153,150,147,163,165,164,166,167,169,171,172,172,171,169,171,171,170,171,170,169,167,166,164,163,160,159,159,155,154,152,149,165,168,167,169,173,172,173,173,173,178,188,144,172,173,173,174,172,171,169,167,166,164,162,161,159,157,155,153,168,169,170,171,174,174,175,177,170,194,199,110,173,178,175,175,174,172,171,170,170,168,165,163,161,161,158,156,169,170,172,173,175,177,177,180,170,206,193,109,181,176,180,181,174,176,174,171,172,168,168,167,164,163,162,159,172,174,176,178,179,179,179,182,173,215,202,118,186,198,166,171,190,167,167,176,171,180,166,157,170,164,164,162,176,177,179,180,180,182,180,183,175,223,198,116,213,235,163,134,219,163,124,178,160,197,162,124,177,166,167,164,177,179,181,181,182,182,182,185,176,225,201,117,233,241,183,125,206,176,107,172,163,184,173,109,175,171,168,165,179,180,181,183,184,185,185,189,180,223,223,164,236,247,194,122,194,184,94,174,165,146,188,120,141,175,169,167,181,182,183,185,187,188,188,189,184,229,218,221,226,234,198,113,176,178,91,183,154,94,167,163,106,147,177,168,182,182,185,187,188,188,189,186,195,233,216,220,223,216,187,104,176,164,95,181,128,84,150,187,103,141,180,170,183,184,186,189,190,191,193,184,212,234,187,191,188,199,204,109,171,157,79,140,116,90,180,197,108,162,178,174,184,187,189,190,191,193,193,186,223,241,165,157,152,162,210,106,174,162,63,144,98,117,212,177,109,179,179,174,187,189,190,191,193,192,196,189,229,242,186,135,144,148,158,146,179,146,95,154,109,181,209,138,115,189,180,182,189,191,192,193,194,195,198,193,232,244,197,148,121,144,166,197,166,161,189,194,188,184,171,113,132,182,171,144,188,190,192,194,194,196,200,193,231,246,207,165,126,138,179,194,203,227,234,217,184,148,128,97,88,89,76,58,188,190,193,193,193,196,198,192,230,247,217,186,143,133,181,218,240,238,221,203,168,127,99,77,75,70,62,57,189,190,192,195,197,198,199,193,227,247,231,204,172,151,186,229,240,227,209,182,145,107,82,72,69,60,59,58,192,194,193,197,199,197,201,196,219,247,238,215,191,161,188,231,232,214,190,154,113,83,66,59,36,24,8,0,192,195,197,197,200,199,202,199,208,247,243,220,190,167,182,222,217,191,165,123,85,62,51,41,25,10,6,0,192,195,196,196,198,201,203,205,210,247,235,209,183,164,178,200,189,163,139,94,65,60,52,33,12,0,0,0,198,201,202,202,205,204,215,167,159,247,193,186,166,154,176,180,158,130,98,61,50,53,56,51,21,0,0,0,163,167,169,171,175,176,198,82,56,233,187,184,164,162,169,160,129,96,59,23,30,43,38,51,45,6,0,0,80,78,75,77,78,79,93,80,7,128,196,184,173,161,148,138,102,67,5,0,3,28,23,35,55,26,0,0,78,77,81,80,79,77,82,96,73,73,134,160,160,139,122,104,70,28,0,0,0,17,14,19,46,40,4,0,84,82,86,87,88,86,93,93,69,76,74,85,110,109,87,83,41,0,0,0,34,39,0,8,32,45,20,0,88,83,87,87,88,86,96,95,68,66,65,54,51,54,55,55,21,0,0,25,49,39,0,0,20,42,32,2,88,84,87,90,91,90,101,90,72,69,65,59,46,35,30,24,18,5,6,7,8,0,0,0,9,30,36,14
2,144,146,147,148,148,148,148,148,148,147,146,146,146,145,145,144,143,142,141,142,142,141,138,140,126,42,33,44,146,148,148,149,149,149,149,149,148,149,148,148,148,146,145,145,145,144,143,142,142,141,139,144,112,32,38,52,148,148,149,151,150,149,150,151,150,150,150,150,147,146,147,145,138,144,145,145,143,142,142,144,125,51,44,49,149,150,151,151,152,152,151,151,151,151,150,148,149,152,152,126,75,92,120,89,143,146,143,141,145,74,48,51,149,151,153,153,153,153,153,153,152,151,153,161,157,141,107,78,53,46,71,46,106,149,143,142,148,86,38,38,150,151,154,154,154,154,155,155,152,158,167,166,120,73,57,48,40,42,47,49,39,116,151,142,149,114,32,19,151,153,154,155,155,155,156,157,154,164,165,129,75,34,38,41,30,34,39,43,29,109,154,145,145,147,46,5,153,155,155,156,157,157,157,156,158,180,130,64,49,33,28,36,39,35,44,59,100,148,147,147,145,149,94,56,154,155,156,156,157,159,159,154,168,177,102,48,45,44,37,40,34,94,140,148,155,149,149,148,146,149,112,100,155,156,157,157,159,160,160,154,182,161,93,53,43,46,36,50,112,155,155,151,149,150,151,150,146,155,72,99,156,156,157,160,160,161,158,164,181,137,76,38,37,38,36,94,169,152,154,153,151,152,151,150,148,153,80,126,157,157,159,160,161,161,157,176,175,126,82,51,49,38,33,103,165,154,155,154,154,152,150,150,150,152,121,109,159,160,161,161,162,161,163,188,168,117,77,59,55,51,33,128,163,156,156,155,154,153,152,151,151,151,149,120,160,162,163,163,163,160,175,191,152,104,68,54,53,53,53,149,161,157,157,156,155,155,154,153,152,151,149,139,160,162,162,163,163,159,187,184,140,95,60,52,51,52,55,152,161,158,158,156,156,155,155,153,152,152,151,143,162,162,162,165,162,163,196,178,133,89,60,53,54,54,61,157,160,159,158,157,156,156,155,154,155,153,150,148,161,162,164,166,160,177,195,164,124,83,58,54,56,48,61,167,160,160,161,159,156,157,158,158,156,155,156,151,162,163,166,165,161,194,188,152,114,75,54,52,48,48,38,117,171,158,160,161,162,158,143,130,119,111,117,149,164,165,166,161,171,197,177,140,102,71,54,45,43,47,50,50,161,170,165,158,135,116,116,113,110,99,58,107,166,166,168,159,184,192,165,128,95,69,53,36,41,47,53,41,88,142,132,113,111,115,122,110,86,86,88,127,165,168,162,165,194,185,158,120,88,67,47,32,47,53,55,59,49,65,94,115,128,119,91,65,97,146,157,155,164,166,155,186,194,179,150,118,84,60,41,37,60,65,73,73,73,79,101,116,101,74,54,109,162,157,154,153,166,155,174,196,188,172,144,111,78,59,40,48,68,74,82,79,78,83,89,75,72,105,140,162,155,155,154,152,156,166,196,186,177,163,138,104,72,59,43,59,72,77,81,78,71,59,58,102,149,165,162,157,156,155,154,153,160,184,185,181,172,156,130,91,67,59,50,70,78,80,73,65,47,64,131,167,164,159,159,160,157,155,154,153,180,177,176,171,156,135,111,77,64,54,55,70,75,76,56,48,114,161,167,161,162,161,160,160,158,156,155,153,176,174,165,148,128,115,86,64,54,52,60,63,68,51,48,129,173,164,161,163,162,161,160,160,158,156,156,155,177,169,151,128,111,102,71,53,51,57,54,54,50,70,145,171,161,163,163,163,162,161,161,160,159,157,156,156
6,203,205,207,209,209,209,209,210,210,211,212,212,212,212,212,212,212,211,210,207,207,206,205,204,201,201,199,199,205,207,207,210,210,211,211,211,211,213,214,214,213,213,213,213,213,212,212,210,208,209,208,206,205,203,203,203,207,207,209,210,212,213,213,213,213,214,214,213,212,214,216,216,214,214,214,213,212,212,209,208,208,205,205,204,208,209,212,212,213,215,215,214,213,213,214,214,215,216,215,215,215,214,214,213,212,212,211,210,209,207,207,205,212,212,213,213,215,215,215,216,216,215,216,216,216,218,218,218,218,218,217,216,214,213,211,211,210,208,207,204,213,213,214,216,217,216,217,218,219,219,219,219,218,218,218,219,219,220,218,218,215,215,214,213,212,212,210,209,213,214,217,218,218,219,220,220,219,218,221,221,220,220,221,221,221,221,220,219,217,216,214,212,212,211,210,211,215,217,218,217,219,221,222,222,221,221,222,223,222,222,221,222,222,222,222,222,218,217,218,216,214,214,213,213,216,218,219,219,219,222,222,222,222,222,223,224,222,222,223,222,221,220,221,220,219,217,217,216,213,213,210,211,219,219,221,221,221,222,222,225,226,229,230,225,214,195,206,218,219,215,216,216,216,208,210,208,205,212,197,236,218,220,222,224,225,227,227,228,223,221,222,220,211,186,157,195,213,217,217,216,201,205,203,202,202,204,192,203,224,227,227,225,221,221,221,218,212,212,216,217,223,209,141,131,148,160,162,165,167,162,161,165,165,166,169,173,240,236,226,214,212,213,212,208,201,203,201,194,190,170,140,128,110,111,158,172,185,191,198,207,213,213,214,221,238,233,226,212,206,201,193,193,196,193,186,184,187,161,128,127,136,130,175,235,235,231,229,229,226,224,224,218,235,228,222,211,199,191,190,190,192,191,192,201,217,195,132,108,122,143,125,149,220,229,225,227,226,228,209,146,229,222,215,208,196,185,178,178,184,192,201,202,199,184,146,129,123,125,138,125,149,232,229,229,225,231,147,117,223,216,213,213,201,189,181,177,180,184,192,208,189,155,147,149,144,133,123,127,130,222,229,224,233,212,125,125,220,211,211,210,202,195,188,183,184,180,179,194,203,163,120,126,156,157,141,112,159,238,229,238,207,132,115,97,211,207,205,203,202,200,192,186,187,186,188,203,197,158,131,115,127,150,158,130,155,227,189,176,134,103,99,82,145,159,180,200,207,208,202,193,189,185,185,199,197,162,139,147,139,124,132,140,133,140,119,109,100,92,80,75,58,63,87,144,210,208,203,197,194,188,182,175,179,164,162,164,154,142,133,112,106,107,118,112,100,89,74,68,55,47,41,45,125,201,182,170,166,162,161,146,143,128,129,155,159,159,142,105,71,85,102,94,90,87,82,70,46,41,41,43,35,97,180,183,189,196,204,217,141,94,98,118,149,141,125,111,76,65,87,86,81,82,88,75,40,35,32,32,27,163,227,226,231,233,234,238,211,163,157,146,143,91,114,109,72,57,63,80,76,74,84,82,35,29,27,15,56,149,136,139,140,142,145,148,154,157,157,155,128,72,106,108,68,50,55,67,69,71,79,82,30,26,24,18,49,123,118,118,119,118,121,123,118,114,136,143,111,62,100,98,62,46,58,59,63,65,72,76,32,29,32,13,52,138,129,130,130,130,126,127,131,138,122,110,98,63,90,88,60,43,50,59,58,60,65,71,39,37,29,4,80,139,128,129,131,132,128,128,129,115,100,85,84,69,80,84,57,45,45,53,53,57,60,67
16,155,156,157,160,165,168,171,174,177,179,180,182,185,186,187,188,189,191,193,192,193,193,192,192,192,191,191,192,156,157,158,160,165,169,172,174,177,179,180,183,185,187,188,189,190,190,192,194,194,194,193,193,194,193,193,192,156,157,158,160,165,170,173,175,178,179,181,184,184,182,175,168,163,159,159,163,170,183,193,194,194,194,193,194,157,158,158,161,166,170,173,176,179,176,174,169,160,153,142,131,122,118,117,110,103,108,139,171,192,194,195,195,157,157,158,162,167,170,174,173,179,158,153,144,140,140,134,125,117,107,103,103,93,79,80,91,137,190,197,195,156,157,159,164,167,173,185,187,191,164,152,139,131,134,129,122,116,109,99,100,99,84,79,77,80,139,196,196,157,158,160,164,166,178,198,198,194,171,154,134,123,125,124,122,114,112,103,98,95,86,83,81,82,85,166,199,157,158,160,164,166,175,192,201,195,169,148,123,114,114,114,118,114,110,108,101,95,89,85,81,83,78,111,197,157,158,160,164,166,179,192,205,194,165,134,111,98,104,107,112,113,109,113,108,94,91,92,84,78,83,78,163,157,159,161,164,166,180,194,205,187,155,114,96,80,89,106,116,121,117,119,115,97,91,95,82,80,86,77,104,157,159,161,165,169,176,196,204,178,136,102,90,65,54,102,120,134,134,134,122,101,94,98,82,82,87,85,69,158,159,161,165,169,171,196,199,165,124,93,78,49,29,80,113,135,155,153,133,103,96,99,83,82,87,90,79,158,159,160,164,169,172,192,189,150,116,86,72,62,47,70,96,138,164,156,134,103,97,92,83,83,85,89,88,157,158,161,165,169,172,184,172,134,107,78,78,77,73,77,80,152,160,142,127,106,96,86,84,84,86,88,91,155,157,159,163,166,171,178,161,119,89,68,82,82,79,77,95,161,148,135,122,104,87,85,85,85,88,89,91,154,157,159,163,167,174,184,154,103,89,64,78,86,104,134,156,158,136,130,112,88,79,84,87,86,88,88,89,156,157,160,164,167,175,185,148,100,114,106,124,158,183,185,167,140,128,118,97,77,79,84,88,89,89,88,87,156,157,160,164,168,176,190,144,94,158,182,187,191,193,181,158,124,111,104,97,80,81,84,88,92,91,90,89,155,157,160,165,168,176,185,133,98,175,188,190,191,192,181,146,114,94,115,114,89,85,85,88,92,91,92,91,154,156,160,164,167,176,177,115,111,183,188,189,190,192,183,144,104,101,153,134,105,93,88,89,90,91,92,93,154,157,160,163,166,176,168,100,129,185,187,188,191,192,185,149,90,129,184,150,121,102,92,89,90,92,93,95,152,154,158,163,165,184,160,93,150,184,186,187,191,193,184,157,98,148,197,159,135,114,100,93,91,91,92,94,148,151,155,156,156,188,137,97,159,172,175,177,178,179,173,154,113,135,187,159,146,126,111,100,95,94,94,96,113,113,116,117,116,138,107,95,115,118,119,122,123,124,123,121,109,108,122,123,148,136,121,110,104,99,96,97,104,103,104,105,104,106,103,101,104,105,105,105,106,104,105,105,103,101,100,102,137,144,131,118,110,104,100,98,106,107,107,108,108,108,107,107,108,110,111,109,109,109,109,108,109,108,107,103,125,152,139,125,117,111,106,103,107,107,107,108,109,108,106,108,109,109,109,109,108,109,108,108,112,115,114,111,116,154,147,133,124,118,112,108,108,108,107,108,108,108,107,109,108,108,108,108,107,109,108,107,109,108,109,109,110,152,154,143,133,125,115,109
22,81,88,92,96,102,107,113,116,119,122,124,125,126,128,128,129,127,126,127,126,125,124,124,123,122,121,120,118,83,90,94,98,104,110,114,116,119,122,125,126,129,130,130,131,130,129,129,127,127,126,124,124,124,123,121,120,85,92,95,98,106,113,115,118,122,123,126,128,129,130,130,128,131,130,129,130,128,126,128,125,125,124,122,122,86,92,95,100,108,112,117,121,121,122,127,130,130,132,132,168,91,118,133,128,135,136,111,129,126,125,124,123,87,94,97,101,109,115,119,121,126,173,90,122,135,132,138,182,72,105,139,125,159,131,76,134,127,126,125,125,90,94,96,103,111,117,120,122,130,184,82,114,139,131,145,171,77,104,141,128,168,105,81,136,127,127,127,126,91,96,97,105,111,118,122,125,125,178,105,102,143,131,151,177,88,107,141,138,167,92,86,139,128,129,128,127,91,97,101,107,114,119,123,127,124,188,137,94,145,133,155,177,93,110,139,154,176,87,100,140,131,131,131,128,92,98,102,109,116,121,123,130,123,182,164,91,141,136,159,168,94,108,141,174,170,83,114,139,133,133,132,130,93,100,103,109,116,122,126,133,125,174,180,89,130,139,164,172,97,103,149,186,147,70,124,140,134,134,133,131,94,101,105,111,116,124,129,133,127,162,201,123,112,142,169,180,99,104,173,188,122,65,136,139,136,135,134,132,96,102,106,112,119,125,131,130,147,164,136,129,103,146,170,172,89,122,200,177,99,84,146,139,138,137,135,133,98,102,107,114,122,126,133,129,192,199,159,123,69,132,158,153,137,165,191,163,77,113,148,140,139,138,137,136,98,104,108,116,124,129,134,136,199,209,192,138,61,65,127,144,167,161,152,122,72,141,147,143,142,140,139,137,100,105,109,117,125,131,134,145,190,176,166,173,124,76,73,104,139,142,132,76,88,154,145,146,144,142,141,139,100,105,110,119,126,132,134,148,203,174,147,188,186,132,67,52,101,128,117,61,99,156,146,147,145,145,142,140,100,106,110,119,128,133,132,161,210,159,133,132,191,171,117,56,54,97,107,66,114,158,148,148,148,147,145,142,101,107,111,120,130,135,132,174,207,156,111,82,136,182,162,110,51,54,76,59,137,156,151,151,150,149,146,144,102,107,110,120,128,136,134,184,214,159,102,126,110,172,191,157,103,48,43,62,151,155,153,151,149,150,148,146,102,106,110,120,128,135,133,185,208,162,97,137,136,194,193,174,139,90,43,70,161,152,153,152,150,149,147,145,102,106,111,121,130,136,134,183,210,152,110,139,163,212,195,173,153,99,38,81,166,152,153,154,152,150,148,147,101,106,112,122,131,138,136,180,216,140,131,133,187,217,200,167,129,85,38,94,166,155,156,154,153,151,149,148,100,106,112,121,129,138,136,174,213,141,148,130,204,212,194,169,109,67,43,115,164,155,155,151,151,150,148,147,102,107,113,122,131,140,141,172,211,154,158,132,213,203,189,157,100,60,50,147,169,163,162,160,159,157,156,156,84,87,91,94,96,100,96,122,209,175,167,142,207,189,174,134,86,61,55,97,99,97,98,97,97,98,91,82,62,62,63,64,62,61,58,72,203,183,166,136,188,175,140,109,76,62,55,51,49,47,48,46,46,35,43,103,71,70,71,72,71,72,71,78,191,168,150,128,151,152,116,96,83,67,58,62,61,60,58,61,58,87,163,172,70,71,72,71,70,70,70,68,163,144,128,120,123,136,124,97,86,69,60,62,60,60,59,53,107,182,169,138
20,136,137,138,139,139,139,140,139,140,140,140,139,139,139,139,136,137,135,133,132,131,129,127,126,125,123,121,120,140,139,140,142,142,143,142,142,143,144,143,142,142,141,138,139,139,137,137,135,133,132,129,128,127,124,123,122,144,144,146,145,145,147,146,145,146,147,146,147,144,152,146,97,143,145,138,139,137,135,134,132,130,127,126,125,147,148,150,149,149,149,151,151,150,150,150,150,148,155,158,82,103,130,145,140,140,138,137,135,134,131,129,128,151,153,153,153,154,154,155,153,153,154,154,154,153,157,158,79,61,83,133,148,143,141,140,139,136,134,132,130,155,155,156,157,157,158,158,157,157,157,158,158,155,164,155,61,95,103,101,157,146,146,144,143,140,139,136,134,158,159,159,161,161,162,161,161,161,161,162,162,158,169,155,63,117,123,79,158,151,150,147,146,144,141,140,139,163,163,163,164,165,165,165,165,166,165,166,166,160,179,160,72,120,135,76,154,155,153,151,150,147,145,143,141,167,167,167,167,168,168,168,167,168,169,170,168,164,187,144,64,130,154,80,147,161,156,155,154,152,148,146,145,169,168,169,169,170,171,170,170,171,172,172,170,170,197,130,69,151,152,76,143,166,159,158,156,155,152,149,148,172,172,172,174,174,174,174,174,174,175,175,157,143,172,141,82,158,152,71,138,170,160,161,159,157,155,153,152,175,176,176,176,176,176,177,177,177,176,177,186,170,139,120,81,131,158,87,136,172,163,163,162,160,157,156,154,177,178,178,178,180,180,180,179,179,179,179,164,183,160,133,105,112,154,92,129,176,165,165,164,163,159,158,156,179,181,182,181,183,182,182,182,182,181,185,151,110,146,168,106,65,105,80,119,180,168,168,167,165,162,160,158,182,183,183,182,183,182,184,184,184,183,187,171,54,113,166,115,62,55,55,108,183,168,170,168,167,164,161,159,183,184,184,183,185,184,185,185,184,185,188,164,72,87,153,145,94,80,47,90,185,172,172,170,169,167,164,161,185,185,185,185,185,185,186,186,187,183,179,157,120,78,70,130,125,105,54,68,185,174,174,172,170,168,166,163,186,186,187,187,187,188,188,189,187,183,177,165,147,108,62,93,122,107,63,52,179,179,177,175,172,170,168,165,188,189,189,189,189,189,189,190,183,174,130,123,156,132,85,72,105,139,99,46,157,188,177,176,175,173,169,167,190,190,190,190,190,190,192,191,180,176,144,71,91,137,71,52,80,141,131,60,94,193,178,178,176,174,172,170,191,191,192,192,192,193,193,193,182,169,137,93,51,97,71,48,101,162,155,90,50,176,185,180,177,176,175,171,193,193,193,194,194,194,194,195,182,172,164,119,61,85,91,71,162,180,147,86,54,178,185,182,180,177,175,173,194,195,196,196,196,196,196,198,181,175,178,119,84,90,140,164,190,156,131,56,76,193,183,183,182,178,175,173,197,197,197,198,198,197,196,200,183,172,171,135,97,87,174,200,176,136,114,45,113,198,182,184,182,179,176,176,197,197,198,199,198,198,198,202,186,160,156,138,100,86,165,177,155,120,93,45,150,195,184,184,183,181,177,175,195,196,197,197,197,198,198,201,191,158,155,137,110,94,158,173,143,106,70,50,182,189,185,184,182,180,181,186,197,197,198,198,198,199,200,199,200,167,152,140,125,95,149,167,128,88,41,98,200,185,185,183,183,186,173,124,199,199,199,199,199,200,201,201,203,177,159,142,122,91,118,135,95,61,33,164,196,187,186,184,175,131,73,26
12,75,80,90,104,109,116,120,126,127,130,133,135,138,140,142,144,145,147,148,149,151,151,152,153,153,153,153,153,75,80,90,105,111,118,122,127,128,130,132,136,139,140,143,144,147,147,149,151,151,152,153,153,154,154,154,154,76,81,92,105,113,119,123,126,129,133,133,135,140,145,143,148,141,149,151,153,153,153,154,156,156,157,155,155,78,82,95,107,113,120,124,127,130,134,137,149,117,117,152,159,109,100,154,150,153,158,155,158,157,158,157,157,78,84,96,110,115,121,125,129,135,129,165,164,124,92,134,162,122,81,105,118,99,143,162,157,159,159,159,158,79,85,96,110,116,121,126,130,135,130,184,172,140,108,115,163,133,107,75,115,89,92,160,160,160,160,161,161,81,87,101,111,116,122,127,131,134,138,186,189,154,114,110,166,136,113,72,104,108,73,134,167,159,161,163,162,81,88,102,112,118,123,129,133,129,154,162,180,168,117,102,171,137,108,68,101,106,74,142,166,162,163,164,164,83,89,102,112,120,126,127,127,135,161,158,148,153,109,84,150,135,98,66,104,100,79,155,166,164,164,164,164,82,89,103,112,120,124,135,175,185,129,91,98,132,93,70,115,105,82,70,102,91,88,166,165,166,165,165,165,83,91,107,113,120,119,169,206,162,112,91,68,116,94,65,99,94,78,68,92,82,95,169,165,167,166,166,166,84,93,106,114,120,127,181,154,142,117,102,68,100,125,73,95,121,90,77,115,96,103,174,166,167,167,168,168,84,94,108,116,118,140,177,126,130,129,106,80,57,92,56,70,117,88,78,133,114,74,124,175,167,169,168,169,85,95,109,116,116,148,170,131,109,129,104,95,46,32,55,80,87,81,106,112,90,71,81,167,170,169,169,169,85,96,110,116,116,152,186,145,116,104,96,83,42,51,95,131,136,128,128,111,95,90,91,168,171,170,170,170,85,99,112,118,115,158,185,145,128,97,79,73,59,82,131,154,155,145,130,107,100,85,116,177,169,170,170,170,87,100,113,119,116,159,181,154,135,106,90,108,102,133,162,165,160,140,118,105,89,77,148,175,170,171,172,172,88,101,112,119,119,155,173,149,132,109,108,118,111,162,164,163,159,133,111,102,83,96,173,170,172,172,173,173,88,102,112,120,122,144,171,146,129,113,111,103,117,157,155,161,149,122,104,96,78,134,178,170,173,172,173,173,90,104,112,119,125,136,169,142,130,121,114,112,133,150,154,154,135,113,99,88,86,164,173,173,174,174,175,175,91,106,114,120,127,130,161,147,140,138,125,118,139,147,149,135,118,104,94,80,114,177,171,173,175,175,176,175,92,105,113,121,129,128,152,156,142,135,123,112,121,136,136,118,100,94,89,84,156,175,172,173,175,176,176,176,94,107,113,121,128,131,145,165,136,129,117,105,102,114,113,104,91,92,81,122,177,172,174,175,176,176,176,177,94,108,113,122,128,133,139,171,148,126,108,100,104,105,105,99,89,87,89,165,172,173,175,176,176,177,177,177,94,108,114,121,128,132,137,169,161,130,110,109,117,106,105,104,90,73,120,178,171,174,176,176,177,177,177,177,96,108,114,121,130,131,148,181,171,138,128,123,122,105,97,94,85,64,130,180,171,175,176,176,177,178,178,178,96,109,115,123,125,150,172,165,189,145,135,123,117,103,92,84,81,61,132,180,171,175,176,176,177,178,178,178,97,109,116,124,126,179,185,139,174,151,138,121,112,101,84,82,80,62,142,179,172,176,177,177,178,178,178,178
10,35,76,64,0,25,50,53,58,65,73,88,94,101,107,111,114,116,117,119,123,126,129,129,131,133,135,135,136,42,81,56,0,32,51,54,60,66,73,89,96,102,107,110,115,116,118,123,124,127,129,130,132,134,136,137,138,52,83,47,0,38,51,55,61,67,77,90,97,105,109,113,114,123,119,110,127,128,130,131,133,135,136,138,140,65,85,38,0,43,51,56,61,67,80,93,98,105,111,116,112,141,119,82,128,129,130,133,134,136,136,139,141,73,85,27,2,46,52,57,63,68,82,94,99,107,112,116,114,144,129,79,124,131,131,134,135,137,139,141,141,75,86,17,9,48,53,59,64,71,84,94,101,107,112,117,115,141,134,74,115,135,132,135,137,139,140,142,142,81,86,9,14,49,53,59,64,71,87,96,103,107,112,117,118,135,141,86,99,140,133,136,138,141,141,143,144,86,82,1,22,51,53,60,66,73,87,100,105,109,114,119,119,129,143,97,80,140,135,137,139,142,143,144,145,91,76,0,29,52,54,58,66,71,114,99,74,109,115,118,121,126,136,107,68,128,139,139,140,143,144,145,146,95,67,0,34,53,53,67,71,78,127,92,58,84,120,118,122,124,146,124,64,108,142,138,141,143,144,146,147,100,58,0,40,48,70,126,73,64,109,109,73,58,113,120,124,121,161,140,72,89,145,137,143,144,145,147,149,102,45,0,45,50,69,100,59,44,76,126,98,55,91,130,122,123,157,130,83,75,145,139,143,145,147,147,149,101,34,0,48,54,56,67,67,51,61,123,99,65,53,99,125,129,144,121,89,65,138,142,143,147,149,149,150,103,22,7,53,53,59,65,71,72,63,119,103,67,50,47,86,128,125,116,99,61,129,146,144,147,150,151,152,101,13,15,56,55,60,66,72,84,90,137,125,84,57,46,44,77,94,107,99,62,122,148,145,148,150,151,152,95,5,20,54,55,60,67,71,82,120,155,135,104,65,48,35,48,65,90,93,59,112,151,146,148,150,152,153,89,0,27,56,56,61,66,73,139,148,144,143,119,85,58,48,52,71,79,84,53,95,153,146,149,152,152,152,80,0,34,58,56,63,62,89,164,152,144,142,133,107,71,55,55,63,74,74,49,90,154,145,150,153,153,154,69,0,40,57,57,62,64,86,168,152,144,150,134,112,71,53,47,54,67,63,43,116,154,146,151,153,153,155,56,0,44,57,58,63,68,75,136,102,150,156,127,103,67,54,49,58,69,56,64,146,148,151,151,152,154,155,43,0,48,58,59,64,69,73,102,82,169,143,117,101,74,60,52,59,65,49,103,152,146,151,152,152,154,155,29,2,52,57,59,64,71,70,130,148,166,145,114,97,79,64,58,57,59,55,137,149,149,150,152,153,155,156,17,7,54,56,58,64,69,78,160,165,164,135,117,86,79,67,60,56,48,85,151,147,150,151,152,153,156,157,9,14,55,56,58,65,65,92,175,163,155,125,113,78,73,69,63,53,48,130,149,148,151,153,153,155,157,158,0,18,57,56,59,65,66,90,173,165,144,115,102,75,68,67,65,45,81,150,146,149,151,153,153,155,157,158,0,23,58,56,60,66,66,92,178,157,140,108,95,75,67,63,60,39,114,151,147,149,150,152,154,156,157,158,0,30,59,56,60,67,67,97,166,143,142,117,105,82,64,58,49,46,131,147,147,149,150,153,155,157,158,158,0,33,59,57,61,66,70,87,138,141,148,137,115,86,62,52,39,60,143,145,148,150,151,153,156,157,158,159
19,168,173,178,182,186,189,192,193,194,196,196,196,197,196,196,197,197,196,195,194,193,193,191,188,198,203,166,226,172,178,183,187,189,193,196,198,200,200,201,201,201,203,200,200,200,199,199,199,198,198,196,191,210,158,155,230,177,182,187,192,195,198,201,204,205,207,207,207,208,200,209,207,205,204,204,204,203,202,201,199,199,205,222,227,181,187,191,196,200,203,206,208,208,211,209,224,220,151,153,215,209,209,208,207,206,205,204,204,199,210,202,170,186,191,196,200,205,208,212,212,214,216,211,241,217,144,100,200,218,212,212,211,211,211,209,207,205,205,187,174,192,197,202,206,210,215,216,217,219,223,218,245,217,160,95,167,229,215,216,214,215,214,212,211,209,208,203,206,195,201,206,210,215,218,220,222,223,226,222,247,225,173,100,136,235,218,220,219,219,218,216,214,213,211,206,211,200,203,209,215,219,222,224,226,228,231,227,249,222,162,88,105,240,229,228,226,224,224,221,218,216,215,211,215,203,208,214,219,222,226,229,230,232,237,233,250,216,162,128,152,201,195,209,213,216,216,223,228,226,222,217,218,205,212,217,221,224,230,234,238,237,234,229,236,224,216,221,223,184,148,175,192,174,163,171,172,196,209,218,224,208,214,219,223,229,232,226,203,206,224,227,236,231,235,230,208,187,165,180,202,184,179,176,156,193,193,173,223,212,216,222,227,229,250,227,197,208,214,213,215,212,205,198,183,165,130,129,154,165,169,170,155,166,177,141,203,213,218,224,230,233,255,228,212,205,188,191,199,195,190,191,187,175,111,158,176,175,167,157,153,157,183,73,178,216,221,226,230,241,230,172,159,173,186,206,209,198,197,195,193,186,135,207,255,251,246,242,236,249,203,52,115,218,223,229,231,255,208,173,168,170,182,189,185,191,194,191,190,168,110,194,255,243,244,243,242,255,117,66,63,219,223,229,236,245,189,189,191,186,172,138,148,172,158,142,150,129,99,236,249,251,255,255,248,196,77,70,71,221,225,232,237,246,233,209,179,168,176,182,178,173,165,157,150,135,121,255,255,241,199,146,93,66,68,70,72,222,227,234,237,252,255,232,177,146,170,181,180,179,177,167,156,152,120,187,158,68,50,59,51,53,64,64,68,222,228,232,239,253,255,233,180,162,155,142,146,154,153,142,133,127,109,52,31,47,38,46,43,62,60,57,63,224,231,233,241,252,251,245,191,169,145,121,126,144,145,133,125,109,82,54,52,55,47,39,34,50,53,49,58,224,232,234,247,255,255,255,210,164,134,155,166,162,155,142,133,107,43,40,59,46,44,45,44,35,41,43,50,225,231,232,246,255,255,255,222,161,130,145,154,149,137,121,113,103,42,27,47,50,45,33,35,44,42,42,43,224,231,231,240,255,254,240,191,157,146,145,154,152,131,114,121,93,44,33,33,46,48,38,21,34,37,50,50,223,231,233,240,255,246,227,185,159,156,145,147,128,105,117,121,40,36,42,31,32,49,47,26,24,27,42,46,223,230,230,239,250,244,216,181,155,157,150,127,90,78,92,76,16,21,35,31,31,35,50,38,20,27,24,21,227,234,231,237,242,234,189,155,160,192,151,88,78,42,0,32,42,17,24,32,31,33,37,47,26,22,25,20,214,219,220,242,236,220,186,162,181,185,136,84,76,30,0,10,42,35,21,32,25,27,29,36,37,14,21,19,130,124,198,249,232,219,194,188,196,171,128,93,59,48,0,0,26,42,31,27,24,17,26,25,35,22,12,20
23,175,177,179,183,185,188,191,192,194,195,197,197,198,199,200,200,200,200,199,198,199,198,197,197,197,197,196,193,175,177,180,183,186,189,191,193,195,196,198,199,199,200,201,200,201,201,201,200,200,199,199,198,198,198,198,195,176,178,181,183,186,191,192,194,195,197,198,200,201,202,203,202,202,201,202,202,202,201,201,200,199,198,199,197,178,179,182,186,188,191,193,195,196,198,200,199,199,199,196,204,205,203,203,203,204,203,202,201,200,200,200,199,179,179,184,187,191,192,195,197,198,196,197,205,216,213,181,161,196,206,206,205,204,204,202,202,201,200,200,199,178,180,185,188,190,193,195,197,196,204,223,220,217,207,192,179,180,161,205,206,204,204,204,204,203,201,201,200,180,181,184,188,190,194,196,199,196,219,218,182,184,156,160,175,154,161,207,205,205,205,206,204,203,202,202,202,180,182,185,189,192,196,198,201,199,217,200,172,127,163,205,200,196,208,207,206,206,206,206,205,205,205,203,202,180,183,186,190,193,197,199,202,199,220,202,188,117,180,216,212,213,209,209,209,209,208,206,205,206,205,204,203,181,183,187,191,195,197,199,202,200,222,205,189,138,191,213,169,203,211,210,210,209,209,208,207,207,206,206,204,182,185,188,190,195,197,199,203,201,227,213,218,229,230,218,130,167,221,209,210,210,210,210,209,208,207,207,206,183,186,189,192,195,198,201,200,205,232,238,240,223,214,176,132,154,222,214,212,211,212,211,210,210,209,208,208,183,186,191,193,197,199,200,213,225,231,235,228,220,210,135,157,180,152,199,213,215,213,212,213,211,210,210,208,184,186,190,194,198,198,226,234,228,231,236,230,217,188,126,149,179,119,123,147,180,218,212,213,212,212,211,210,185,187,191,196,198,202,235,221,215,221,221,208,210,168,121,119,151,132,125,135,131,207,217,214,213,214,212,210,185,188,192,198,197,206,232,217,225,235,229,222,204,160,129,114,120,136,132,142,138,202,219,214,215,214,213,213,184,188,193,198,199,198,241,239,239,232,213,196,177,145,135,127,95,115,134,140,142,205,220,216,216,215,214,213,185,188,193,198,200,198,242,238,216,184,156,148,138,141,145,118,80,111,138,145,147,210,220,217,217,216,215,215,187,189,193,198,201,197,232,219,196,159,139,106,118,154,144,104,105,122,138,146,145,213,220,218,217,218,217,216,186,190,194,198,202,197,222,219,187,145,125,100,137,129,106,105,122,132,133,143,153,220,219,219,220,219,217,216,187,190,195,199,205,194,220,218,179,152,135,115,98,90,107,120,133,140,138,141,193,225,220,220,220,220,218,217,187,190,195,199,205,193,218,218,186,160,139,134,109,104,131,143,148,151,139,169,228,221,222,222,221,221,218,218,186,190,196,198,207,189,216,222,191,164,145,143,128,118,144,152,153,152,140,191,230,223,224,223,222,222,221,220,187,191,196,200,207,191,210,220,188,168,150,145,135,122,143,151,152,148,146,211,227,223,224,224,223,222,222,221,188,191,197,201,207,194,206,217,185,169,151,146,138,129,142,148,153,143,171,230,225,224,225,225,224,222,221,221,188,191,197,200,207,200,205,211,185,167,151,142,141,138,145,150,146,160,218,228,226,225,225,225,225,224,222,221,188,192,197,201,207,202,205,207,177,160,146,144,145,143,143,147,162,220,230,227,228,228,227,226,225,224,223,222,188,191,197,201,207,201,208,211,175,157,147,146,145,145,145,143,204,231,225,227,227,228,227,227,225,224,223,222
7,183,185,185,186,185,184,184,184,184,185,184,185,186,184,184,183,182,183,171,74,55,81,98,100,124,148,163,185,186,187,189,188,188,187,188,187,189,188,188,187,186,186,186,186,185,189,148,64,74,99,93,95,122,144,167,187,191,191,191,191,192,192,192,193,193,192,192,192,191,191,189,189,186,193,122,60,80,90,94,89,116,150,173,189,193,194,194,193,194,194,194,193,196,194,193,190,189,191,187,186,182,188,157,125,142,92,85,106,125,163,181,182,197,197,198,197,198,197,196,197,198,197,199,188,173,188,196,188,172,175,164,185,221,130,78,106,136,176,183,174,200,200,201,201,203,202,199,201,209,215,210,194,181,190,190,186,175,169,164,158,195,136,96,121,155,187,183,172,204,205,204,203,203,204,212,220,224,220,212,196,196,191,158,166,188,179,178,167,165,148,146,188,172,189,192,178,208,207,209,207,201,209,218,218,214,208,206,207,199,187,166,173,192,180,178,172,148,142,128,160,155,187,198,193,210,207,228,224,212,211,213,210,210,211,208,208,200,179,174,165,152,137,131,129,116,112,119,120,127,185,197,202,210,215,239,225,206,202,209,213,212,209,202,193,180,162,148,136,133,137,151,149,127,190,183,161,130,185,194,203,213,221,236,222,191,188,199,201,199,183,157,141,119,113,148,196,207,206,218,190,155,230,161,194,141,178,191,198,214,225,231,211,183,189,190,172,151,127,136,166,132,134,142,121,202,214,211,204,187,146,138,219,143,161,190,187,215,228,227,210,210,206,190,177,169,177,182,178,170,166,177,106,136,225,209,212,209,152,196,225,150,136,187,180,220,230,230,233,240,216,179,182,188,187,179,166,162,161,155,105,131,226,212,213,209,204,188,208,178,129,177,183,223,231,233,241,239,209,171,171,168,160,161,155,149,142,122,114,210,219,215,215,212,210,221,208,194,176,180,185,225,232,236,238,221,197,183,172,147,125,132,147,143,140,125,134,226,219,217,217,217,214,190,152,158,186,182,185,232,236,235,228,211,202,203,207,174,147,160,176,169,151,147,134,185,229,219,217,218,225,188,147,171,180,180,186,237,240,232,220,211,201,214,214,173,147,156,159,149,136,136,112,184,230,219,221,221,223,215,176,193,173,179,185,235,237,230,221,210,212,227,206,168,147,148,146,142,135,116,131,222,225,224,223,221,220,221,193,185,177,169,181,233,236,229,217,216,222,215,188,156,138,127,121,111,97,115,206,231,224,224,223,222,222,223,204,187,183,166,171,230,230,222,215,217,206,189,169,153,144,119,95,109,152,209,235,226,226,225,224,223,223,225,211,189,194,174,155,224,223,217,213,213,197,181,173,160,142,149,199,219,238,234,230,228,228,227,227,226,224,227,213,187,199,192,168,219,217,216,210,207,197,188,175,140,117,219,243,233,231,229,230,230,229,228,229,227,225,226,212,184,196,194,183,217,208,210,209,194,185,175,145,103,176,246,233,234,234,233,232,231,230,229,229,228,227,227,212,185,192,191,186,213,202,197,190,178,165,145,110,136,238,237,236,237,238,236,235,232,230,231,231,229,228,230,214,187,192,188,180,205,194,187,170,153,135,108,116,222,240,237,238,236,237,235,234,234,233,232,232,230,228,231,209,189,192,187,180,185,176,166,147,124,105,122,212,243,237,238,239,238,238,237,237,235,233,232,232,231,230,227,198,192,192,187,177,169,156,149,136,113,147,223,244,238,239,239,239,239,239,238,238,237,236,234,234,232,234,214,191,196,196,191,181
1,143,146,148,151,154,159,161,161,163,164,166,167,168,170,170,170,171,171,175,173,173,174,173,173,172,172,173,174,146,149,152,154,157,161,163,166,166,167,169,169,171,169,173,173,181,176,153,177,176,175,175,174,173,173,174,175,150,154,155,158,161,164,167,169,171,172,173,173,173,186,157,164,198,180,116,177,181,180,177,177,176,176,175,176,154,157,159,162,165,168,170,173,175,176,177,176,180,205,135,150,202,165,118,178,163,171,183,180,181,180,179,180,157,160,163,167,170,172,174,177,178,179,180,179,191,201,127,159,203,153,123,189,156,133,189,183,183,183,182,181,160,164,167,170,174,176,179,181,182,182,189,170,180,195,126,165,204,146,131,201,158,123,190,186,186,185,185,183,164,168,170,174,177,180,184,186,187,187,207,158,148,179,132,172,209,152,143,205,152,123,193,190,189,189,188,187,168,172,173,177,181,184,188,190,191,193,213,143,148,168,141,171,200,148,147,210,152,125,196,194,192,192,191,190,171,175,177,181,185,187,191,193,194,198,203,133,152,154,132,153,194,140,156,214,157,130,201,197,196,195,194,193,174,177,180,184,188,191,192,197,198,201,209,142,154,160,133,154,208,144,171,209,153,136,207,201,200,198,197,196,176,179,183,186,192,194,196,201,199,205,207,141,145,174,143,155,209,143,181,213,153,142,210,203,203,203,202,201,179,183,186,190,194,196,200,202,201,211,216,155,137,165,130,147,187,130,193,215,156,151,214,204,205,206,205,204,182,186,188,192,197,199,201,205,204,212,224,159,126,150,130,152,168,149,200,200,148,162,217,207,209,208,206,206,185,188,191,194,200,202,204,208,206,214,221,164,154,187,176,186,190,178,167,190,142,171,219,209,212,211,210,209,186,189,193,197,201,204,207,210,208,220,230,190,163,162,200,214,222,187,132,159,131,178,221,213,214,214,212,211,188,191,195,199,202,205,208,213,210,229,220,175,150,120,144,171,188,208,168,113,110,194,223,215,216,216,214,212,190,193,197,202,205,206,211,215,212,233,214,172,139,129,133,145,187,229,206,137,103,210,222,218,217,217,216,216,191,195,199,204,206,209,213,216,215,237,221,171,145,148,153,185,202,223,227,169,113,208,226,221,220,219,218,219,194,197,201,204,208,212,215,217,218,238,217,170,145,154,160,214,225,209,208,173,118,188,231,221,222,221,220,220,196,200,203,206,211,213,216,217,220,237,216,178,152,165,178,234,232,206,175,148,111,188,233,223,223,222,222,221,197,200,205,209,212,215,217,220,221,234,218,181,165,160,192,241,228,192,162,128,108,204,232,224,226,225,224,223,198,203,206,209,214,215,218,221,222,230,215,181,171,158,191,238,214,179,152,117,134,231,227,228,228,225,226,226,199,203,206,210,213,215,220,224,223,225,214,188,182,162,183,227,198,167,138,106,174,239,227,229,229,228,227,227,201,204,208,212,215,218,220,223,224,222,211,192,188,166,180,220,188,157,127,110,209,235,229,230,230,230,229,229,203,205,209,212,216,218,222,223,226,227,217,194,188,159,173,207,176,149,116,129,233,232,232,232,232,231,231,231,202,205,210,214,217,219,221,226,224,228,222,196,182,147,164,182,153,139,107,168,243,233,234,233,232,232,232,231,201,205,209,213,216,218,220,225,219,232,224,212,180,151,167,168,147,126,123,222,236,234,234,233,233,233,232,231,201,205,209,212,217,221,222,222,220,232,225,215,187,162,168,158,141,109,182,241,232,234,234,233,233,233,232,232
21,108,110,114,119,123,127,130,133,135,136,139,140,141,141,141,141,141,140,139,139,138,137,136,134,134,134,131,129,109,111,115,121,126,129,132,134,136,138,141,141,142,142,141,143,140,141,143,140,140,139,138,136,135,135,133,132,111,113,117,123,128,131,134,135,138,141,142,144,144,144,145,143,155,133,122,145,141,140,141,139,137,136,135,133,112,115,119,124,129,132,135,138,140,141,144,146,146,146,148,141,174,138,90,149,141,142,141,140,140,138,137,135,114,116,121,127,131,134,137,140,141,143,145,147,147,148,148,142,176,136,87,147,143,143,142,142,136,138,138,137,114,117,122,127,132,135,137,140,142,144,146,148,149,148,148,144,183,135,85,145,145,145,142,164,110,118,144,138,116,119,123,129,134,136,139,141,143,145,148,148,148,149,149,146,189,142,92,145,148,145,150,169,90,118,145,139,117,120,126,132,135,138,142,142,145,148,149,150,149,150,152,147,193,143,98,146,150,142,163,157,85,130,145,140,117,120,126,132,135,139,141,144,148,149,150,152,152,152,151,150,194,137,101,146,151,146,177,140,90,138,143,141,119,121,127,133,136,140,143,146,148,150,151,153,153,152,150,159,204,141,103,144,151,153,188,132,99,147,144,143,120,123,129,134,138,142,144,148,149,151,153,155,151,168,162,145,193,157,108,146,148,169,186,119,110,152,145,144,121,124,129,135,139,143,146,148,151,152,154,153,157,209,181,130,112,146,111,149,151,191,172,103,121,154,146,146,122,125,131,137,140,145,148,149,152,153,159,181,149,178,199,145,80,95,113,150,168,195,151,93,136,152,148,147,122,126,133,139,144,147,151,153,155,150,185,213,160,121,188,143,80,73,111,153,177,178,127,101,153,149,148,148,123,128,134,140,145,148,151,154,156,155,199,218,188,109,145,153,86,64,88,130,155,158,107,122,158,150,149,149,124,129,135,141,147,149,153,155,157,163,197,185,195,104,118,182,128,75,66,94,120,124,98,149,156,152,151,149,126,130,138,142,147,150,154,157,156,170,206,176,183,134,94,184,171,110,64,82,109,93,105,162,154,154,153,151,126,130,139,144,148,151,154,159,155,189,214,173,157,152,84,144,178,144,88,62,91,79,114,164,155,156,155,152,127,131,138,145,149,153,156,161,156,200,200,151,129,113,99,108,171,172,130,71,70,73,127,164,157,157,156,154,128,132,140,146,151,154,157,162,158,205,201,151,121,122,130,133,168,194,162,106,67,73,148,164,159,159,157,156,128,134,140,147,151,155,159,163,161,208,201,150,119,136,143,184,189,194,183,137,83,83,164,162,161,162,159,157,128,133,141,147,152,156,160,163,163,208,201,153,123,148,159,205,197,187,175,154,105,96,170,163,163,162,160,158,126,132,141,146,151,155,160,163,163,208,204,149,137,149,173,213,203,188,157,139,105,98,170,163,163,162,160,158,127,133,141,147,153,156,161,165,164,207,206,148,160,145,190,220,204,182,158,114,84,105,172,164,164,162,161,159,127,133,142,149,154,158,161,167,165,203,202,162,178,144,195,222,200,178,152,106,75,125,174,165,165,163,162,159,128,134,142,147,153,157,161,166,163,195,202,183,183,143,188,216,189,166,133,101,80,150,171,166,165,164,162,160,126,133,142,149,155,159,163,168,167,187,208,194,181,142,178,204,168,144,115,88,96,174,170,170,168,167,166,161,121,126,130,133,137,139,142,145,144,159,207,190,173,138,157,188,150,123,105,85,102,144,140,139,138,137,134,143
12,205,205,208,211,212,212,214,217,218,219,219,218,217,217,216,214,214,215,214,212,212,211,211,210,209,206,207,208,207,208,211,212,214,215,217,219,220,220,220,220,219,219,219,218,217,215,216,215,214,214,212,212,210,209,208,208,209,210,212,213,216,218,220,221,221,221,222,222,221,221,220,220,221,218,217,217,215,216,214,214,213,213,211,209,211,212,213,215,219,220,220,222,223,223,222,224,226,224,223,222,223,226,221,218,217,218,217,216,214,214,213,212,211,213,215,217,220,221,222,225,227,226,224,225,220,226,229,222,205,193,219,226,225,222,218,220,216,215,215,214,212,215,218,219,222,223,224,226,227,227,229,228,191,159,215,230,184,109,140,221,192,213,227,218,219,219,218,216,215,218,220,222,225,228,229,229,230,227,240,245,193,127,130,227,163,132,86,167,149,104,180,228,219,220,218,218,218,220,221,226,227,228,231,230,229,226,241,232,175,125,99,227,176,146,93,145,155,96,88,211,223,220,220,220,220,220,225,228,228,228,229,232,243,190,197,232,163,112,93,243,232,166,120,141,141,106,78,194,230,221,222,221,221,223,226,228,229,231,230,255,249,198,151,221,215,117,79,255,255,154,127,194,160,113,76,204,231,222,224,223,223,225,228,230,232,231,245,255,249,215,128,214,255,129,94,196,190,97,165,233,158,98,78,217,231,228,226,224,224,228,229,229,235,230,255,255,249,208,127,150,210,129,107,123,173,149,185,184,106,61,108,237,228,230,228,227,227,229,230,232,234,237,255,255,212,164,124,76,94,94,121,144,206,244,197,146,112,64,187,241,229,231,230,228,228,230,234,237,231,255,255,246,176,125,111,75,39,140,241,235,223,205,173,157,157,84,202,241,232,232,230,230,229,231,234,238,232,255,255,226,167,168,123,48,126,255,255,243,213,197,159,148,139,85,208,244,234,234,232,231,230,232,236,239,235,255,255,216,163,198,138,128,242,255,255,242,212,186,165,137,115,81,226,241,237,236,234,233,231,232,236,239,241,255,255,237,220,184,192,227,255,255,255,233,208,176,159,127,99,72,220,244,238,237,235,235,232,235,238,239,246,255,255,254,246,200,192,236,255,255,241,227,195,161,145,118,92,63,209,250,239,240,237,237,235,236,239,241,245,255,255,255,250,208,205,245,254,244,223,211,178,151,133,106,82,63,226,248,241,242,239,238,235,238,240,244,245,255,255,255,248,213,195,236,237,225,217,199,162,135,114,97,55,137,254,240,243,241,240,239,236,238,241,243,240,255,255,255,246,202,188,212,218,216,202,181,144,120,107,72,113,249,246,243,244,243,242,241,237,239,240,249,253,255,255,255,220,174,190,208,214,218,197,167,144,123,87,115,247,249,244,245,245,244,243,242,236,237,247,220,199,255,251,232,207,201,211,209,225,222,191,150,141,109,76,226,255,247,247,246,245,244,244,243,237,239,255,148,51,229,255,241,235,222,199,190,222,207,160,133,127,71,173,255,248,250,249,247,247,246,244,243,238,248,216,117,92,109,228,245,230,209,185,169,199,170,134,122,81,127,255,252,252,251,251,250,249,247,246,245,236,255,160,97,123,62,90,131,123,117,112,118,144,129,113,90,82,246,255,252,252,252,252,251,251,249,247,247,241,232,119,102,116,83,26,71,64,59,46,42,43,53,62,40,76,236,255,253,253,253,252,251,250,248,248,248,248,177,102,105,111,98,14,49,67,61,49,46,41,37,30,25,8,173,255,250,254,252,251,250,248,247,248,247
12,127,129,131,132,132,134,134,135,139,140,138,143,145,143,142,143,146,146,145,146,144,145,145,145,145,144,145,147,128,130,131,133,134,135,134,137,139,135,140,133,128,144,146,138,126,135,147,145,145,147,147,146,145,146,146,147,130,131,132,133,134,135,136,139,137,160,164,123,88,92,161,136,106,80,139,153,150,149,148,148,146,146,146,146,130,132,132,133,135,136,140,134,159,197,170,116,100,67,152,128,110,81,86,112,123,147,148,146,147,148,148,148,130,132,133,134,136,137,139,136,178,162,162,132,135,72,124,145,124,84,58,95,75,86,152,149,150,151,150,150,132,133,134,136,136,139,138,143,190,135,145,149,126,75,112,157,130,76,70,107,90,43,127,159,149,151,151,150,133,134,136,137,140,140,138,154,196,134,149,124,93,53,41,120,95,60,83,123,100,57,122,158,149,151,151,150,134,136,138,139,138,143,132,125,165,91,138,131,104,62,19,51,45,28,139,140,97,58,139,155,151,153,152,150,135,136,139,137,143,166,137,104,87,73,105,135,126,126,105,97,78,36,108,111,70,57,154,152,154,154,152,151,136,138,140,133,177,184,146,121,76,75,100,109,106,126,132,130,130,84,33,44,45,80,163,153,154,153,152,151,137,142,134,158,184,177,162,130,90,76,112,95,68,94,99,133,156,124,74,24,31,112,165,153,153,153,151,151,138,141,134,189,161,161,168,138,100,71,71,84,64,66,77,147,159,148,122,55,29,136,161,156,155,153,152,152,137,135,156,183,130,116,155,141,112,84,61,73,63,79,103,145,153,155,145,95,47,150,159,158,155,154,154,153,138,134,174,169,146,122,115,148,117,83,61,74,62,76,87,133,160,149,151,126,67,151,159,157,155,155,154,154,138,135,184,176,156,125,83,133,126,83,63,60,63,79,104,121,136,155,134,140,80,127,166,154,157,156,156,157,136,137,178,147,115,93,66,83,140,100,90,52,76,80,126,155,140,140,127,118,97,84,166,156,158,157,158,158,136,140,187,160,137,113,93,73,115,125,126,75,84,104,155,161,156,138,118,103,94,70,164,159,158,159,158,157,140,140,193,171,142,119,107,84,79,110,102,90,100,147,173,163,156,136,117,96,73,86,167,157,159,159,158,158,141,143,195,173,147,129,115,86,83,112,79,94,130,172,173,162,152,136,119,96,59,105,170,158,160,160,159,159,140,146,200,176,154,138,123,94,87,122,100,125,165,184,172,160,146,133,118,96,53,119,169,159,160,160,159,159,140,151,206,176,154,144,130,111,91,114,118,140,182,185,172,156,141,131,116,90,49,138,165,160,159,159,159,159,136,154,208,178,160,148,132,127,103,109,131,141,191,180,166,153,139,131,108,82,58,153,164,160,161,160,160,160,138,151,202,183,171,151,138,132,120,105,138,140,192,174,157,150,140,128,105,72,69,162,160,160,162,161,160,160,143,145,189,188,178,160,145,139,131,109,136,142,186,172,147,142,137,122,103,62,91,170,159,162,162,160,160,160,144,140,179,193,177,164,151,146,134,114,123,138,178,168,144,140,135,112,98,52,124,168,158,162,163,161,161,160,144,138,170,198,179,169,157,147,134,120,119,125,166,164,141,135,129,112,89,57,150,165,161,161,163,162,161,161,144,139,159,203,183,168,156,142,127,121,122,120,149,155,131,126,124,116,71,78,169,159,162,163,163,162,161,161,144,138,163,207,178,159,151,139,126,117,121,121,138,144,126,121,124,109,57,118,171,159,162,163,162,161,163,160
21,83,85,92,98,104,109,112,115,120,123,128,129,132,135,137,137,138,141,140,141,142,143,142,141,143,144,143,143,84,88,95,101,107,111,115,118,122,126,129,132,135,138,140,139,145,143,145,145,145,144,144,145,147,146,145,145,85,89,97,104,109,114,117,121,125,129,131,135,138,140,146,123,103,148,146,147,147,150,153,149,150,150,150,150,87,92,99,105,111,117,120,123,127,130,134,138,141,143,152,132,49,140,152,149,152,137,125,155,153,152,152,152,90,94,102,109,114,119,123,126,129,132,136,140,145,144,154,143,57,117,160,151,154,142,65,131,162,155,155,154,93,96,104,112,116,121,124,128,132,136,139,143,147,147,156,146,66,93,164,151,156,151,73,98,168,156,156,156,94,99,106,114,118,123,127,131,134,139,142,145,149,151,155,149,85,78,162,155,159,149,81,80,168,157,157,158,95,101,108,115,121,124,129,132,136,140,144,148,151,152,154,163,117,71,151,161,160,151,89,71,166,160,161,161,97,102,111,118,123,127,131,134,138,142,145,149,152,154,154,168,130,71,131,167,160,159,111,68,163,164,164,163,98,104,113,119,124,129,132,136,140,144,147,151,153,157,158,174,137,79,108,172,161,160,121,64,156,168,166,167,99,106,114,121,125,129,134,138,141,145,149,153,154,154,148,181,160,106,96,171,165,158,127,64,149,171,167,168,100,107,116,121,127,131,135,139,143,147,150,153,156,151,133,139,179,135,93,164,167,170,147,72,146,173,167,168,101,107,117,123,128,133,137,141,145,149,153,154,168,187,173,132,124,120,87,157,171,169,152,73,143,176,168,168,102,110,118,124,130,135,139,143,146,150,153,157,162,156,168,161,117,69,54,133,169,155,144,71,140,179,169,170,103,109,118,125,131,136,138,142,147,152,155,158,158,136,114,104,129,93,84,80,100,126,129,69,135,183,170,173,105,112,121,126,132,137,141,145,148,153,157,158,166,175,150,91,87,135,138,126,82,64,105,62,126,184,171,173,106,115,122,127,133,137,143,147,149,154,158,163,152,141,160,115,40,85,149,144,101,40,62,49,126,185,174,175,107,115,123,128,133,137,142,146,150,155,158,163,152,72,109,129,57,14,79,133,114,77,38,30,118,187,173,176,107,116,125,130,134,138,143,146,151,155,159,164,150,117,94,114,96,59,0,91,143,108,57,19,90,190,175,178,106,115,123,130,134,139,144,148,151,156,160,163,168,150,87,61,96,77,15,45,145,135,90,39,62,187,177,178,105,114,122,128,132,137,143,146,151,156,159,161,175,144,110,81,49,40,51,87,142,158,111,74,49,171,181,179,108,116,123,129,134,137,143,148,152,156,161,161,179,170,143,82,56,66,92,164,164,142,110,80,47,163,183,179,108,116,124,130,135,139,144,149,152,157,162,161,177,172,125,74,81,92,121,189,166,132,90,64,43,165,183,179,108,116,124,129,135,140,145,149,152,157,160,161,173,170,120,105,98,84,138,192,155,122,83,51,45,169,182,180,108,116,124,129,134,140,144,147,151,156,159,160,168,164,139,112,89,85,146,187,150,114,76,51,48,172,182,181,110,120,127,134,139,145,149,152,158,162,165,166,168,160,144,99,98,97,141,177,146,113,70,46,53,174,180,180,81,85,92,99,102,108,114,121,128,135,139,142,149,157,144,103,124,101,127,162,127,96,63,41,64,187,183,185,51,53,52,52,52,54,56,59,61,62,64,64,72,143,146,117,127,108,113,153,107,76,54,43,55,115,118,124
2,160,160,160,161,162,162,161,161,161,161,161,161,161,161,161,160,160,160,160,159,158,156,156,158,154,84,57,73,163,164,164,163,163,163,163,163,163,164,164,165,163,163,163,163,160,164,162,163,158,159,160,163,145,70,68,77,167,167,168,166,166,167,167,167,167,168,168,167,164,169,175,147,104,136,150,137,168,164,162,163,157,88,76,73,169,169,170,168,168,169,169,169,170,169,167,170,177,174,141,107,82,88,109,87,125,159,164,163,167,112,75,79,172,171,172,171,171,171,171,173,172,172,182,190,159,114,91,82,77,78,85,77,70,134,172,163,172,126,72,70,174,174,174,173,174,174,175,175,172,181,193,173,109,74,77,75,70,65,74,77,67,132,174,165,171,146,77,56,176,176,177,176,176,176,177,177,173,197,175,114,83,66,69,73,67,63,66,72,103,166,170,168,168,169,82,43,179,178,179,179,179,178,179,177,183,205,140,83,75,69,64,68,72,83,120,149,174,174,172,170,170,171,115,101,180,180,181,181,181,180,181,175,197,192,126,89,76,83,73,74,84,147,184,178,175,175,174,172,173,174,145,132,180,182,184,183,183,183,182,185,202,168,110,76,74,79,73,93,161,182,176,177,178,178,176,175,173,183,114,141,183,184,184,184,184,185,180,196,198,154,109,80,75,72,77,127,195,179,181,180,179,179,179,178,176,181,127,168,185,186,187,186,185,186,185,208,191,147,110,95,86,76,75,145,191,184,184,182,181,180,180,179,178,178,165,151,186,186,188,189,188,185,195,216,179,135,103,92,90,87,82,176,189,185,185,185,184,183,183,181,179,179,182,158,187,187,189,190,190,184,205,211,170,126,94,88,84,87,101,190,188,187,186,185,185,185,185,183,182,183,179,175,189,189,189,189,187,185,216,200,163,124,95,85,83,85,108,193,188,187,186,186,186,185,184,185,184,184,181,175,189,190,190,192,185,199,215,188,153,116,96,87,90,80,125,200,188,188,188,187,187,186,187,187,187,188,187,182,191,191,191,193,187,214,207,178,143,110,94,85,84,74,114,200,189,190,190,190,191,192,186,177,170,164,172,188,193,192,195,188,190,218,201,171,137,105,91,81,78,88,81,142,203,191,195,193,179,167,159,156,152,143,118,145,193,193,197,184,202,214,194,161,128,104,88,72,81,91,92,87,169,193,179,161,154,155,164,159,140,125,113,132,195,196,192,189,214,209,186,149,119,103,82,68,88,91,97,104,104,125,137,154,167,160,142,113,121,162,183,188,196,199,187,202,214,202,177,142,116,100,75,77,101,104,114,116,115,121,142,159,149,121,98,126,189,194,192,190,199,194,191,215,211,196,166,137,113,99,76,88,110,116,121,118,119,124,133,119,111,131,161,193,193,190,190,189,196,190,211,212,204,188,161,131,104,96,82,98,114,122,123,119,111,104,99,126,175,198,199,195,194,192,192,191,185,201,214,207,200,185,155,123,100,96,89,110,120,122,117,107,94,100,153,200,200,196,195,196,195,194,194,194,195,205,206,200,188,165,134,110,100,93,95,112,115,117,104,92,137,185,204,198,197,199,198,197,196,195,196,196,202,203,199,183,165,142,120,103,99,93,101,106,111,104,90,151,207,203,198,199,199,200,200,200,198,197,197,196,199,198,184,164,148,134,113,101,97,99,100,99,97,106,165,207,200,201,201,201,201,201,201,201,199,198,196,196,197,190,173,144,136,116,99,101,102,101,99,94,137,195,208,202,203,203,203,203,202,202,201,200,200,199,198,197
6,171,176,180,182,185,189,193,195,199,202,204,205,207,210,211,213,215,216,217,218,219,218,219,220,220,220,220,220,172,177,180,181,184,190,194,196,199,202,205,206,208,210,212,214,215,216,217,219,220,220,220,220,220,220,220,220,172,177,180,181,184,190,195,198,199,203,206,208,210,211,212,213,217,218,219,219,220,221,222,222,221,221,220,220,172,178,181,182,187,191,195,198,201,204,206,208,211,212,213,214,218,220,221,220,222,222,224,223,222,222,221,222,173,180,181,183,186,191,194,198,201,205,207,209,212,213,214,216,218,220,221,220,223,223,224,225,224,224,226,226,174,179,181,184,186,191,195,199,202,206,207,209,212,212,214,215,217,217,218,219,216,219,219,220,220,218,213,216,174,179,183,184,186,191,196,199,202,203,212,216,213,217,220,222,223,228,227,222,225,229,238,229,220,214,196,194,173,177,181,181,185,190,194,196,207,226,236,232,217,210,224,235,240,241,236,223,226,235,240,236,229,218,205,204,172,178,180,182,183,187,200,219,236,238,236,228,213,183,179,204,210,209,206,202,205,196,189,191,189,181,177,183,174,182,181,178,192,215,239,239,231,230,233,236,220,177,144,146,146,152,164,164,167,181,196,202,203,206,208,213,173,176,186,210,231,241,236,230,232,237,239,226,194,172,147,139,137,129,154,201,217,225,228,228,229,230,228,228,179,208,234,242,238,237,232,233,238,235,223,202,176,162,150,148,154,147,144,181,207,226,224,226,226,225,224,225,236,243,240,238,236,238,238,235,234,234,232,230,199,157,146,135,146,159,152,141,125,192,235,226,228,226,225,226,242,240,241,240,236,233,235,232,234,236,243,238,194,157,150,145,137,148,160,165,144,125,201,232,226,227,227,226,246,245,242,236,236,234,236,230,232,241,243,211,178,162,155,158,159,146,134,143,151,135,150,232,225,227,226,225,246,243,237,230,228,225,226,223,228,235,228,199,173,158,160,163,165,158,137,132,131,137,161,228,225,225,225,224,241,239,232,226,227,224,223,220,222,227,225,209,173,146,128,150,167,192,158,144,131,134,154,168,166,166,165,164,238,239,238,232,229,229,230,229,226,232,230,208,165,151,140,137,139,156,165,157,142,142,137,134,134,135,135,133,242,242,236,230,229,227,228,225,229,235,224,195,159,155,160,159,151,140,143,147,151,145,142,144,144,143,143,143,236,233,228,225,225,218,213,211,219,221,208,187,168,165,163,158,151,144,139,137,148,149,146,143,142,141,141,141,224,222,222,216,210,207,199,201,211,206,192,178,168,161,165,163,154,145,144,148,146,147,148,143,144,142,141,140,205,208,202,200,193,194,191,189,188,179,165,154,152,144,144,150,151,151,150,147,144,146,145,142,143,142,140,140,169,171,175,175,177,170,163,156,150,148,147,146,147,146,143,142,143,148,146,145,145,146,146,143,145,142,141,140,158,147,146,147,141,142,145,145,144,147,149,149,148,148,149,147,147,147,146,146,145,143,145,144,145,143,141,142,146,143,136,130,138,146,148,149,149,149,150,149,148,148,148,147,147,148,147,146,145,143,143,143,142,142,141,142,136,127,124,130,142,150,149,148,150,150,149,148,148,148,148,147,147,147,146,146,145,144,142,143,144,142,142,141,159,150,138,135,140,148,149,149,148,148,148,148,148,148,147,146,146,146,146,146,145,144,142,143,143,141,141,141,166,147,139,136,139,148,150,149,148,148,148,147,147,147,146,146,146,146,146,146,145,143,143,142,143,141,141,142
21,151,154,158,161,163,165,167,168,170,171,171,172,173,173,174,172,171,171,171,170,170,169,168,168,167,164,164,163,150,155,159,163,164,167,169,170,171,171,173,174,175,176,174,174,176,173,173,171,170,170,169,168,168,166,165,165,153,156,159,163,165,168,169,170,172,173,175,176,178,175,183,148,147,180,174,174,173,172,171,170,169,168,168,166,154,157,161,164,166,169,171,171,173,176,177,178,178,178,197,131,108,183,175,175,174,173,172,170,171,170,169,167,154,158,163,165,168,171,173,173,175,177,179,179,177,181,194,131,119,183,176,177,175,173,174,175,172,171,171,170,155,159,163,167,169,170,173,175,177,178,179,180,177,187,192,128,122,185,177,177,176,152,127,174,174,173,172,171,157,162,164,168,171,172,175,177,178,178,179,181,179,192,192,129,128,187,178,178,173,138,101,171,176,174,173,172,158,162,165,169,172,175,177,178,179,180,182,183,181,193,188,130,131,188,179,178,169,130,115,181,176,176,175,173,157,161,165,169,172,175,177,178,180,182,183,184,181,196,185,128,127,190,180,177,164,117,136,186,177,177,176,174,158,162,166,171,172,176,178,179,182,183,183,185,182,201,185,127,123,190,181,175,159,111,162,184,179,178,177,176,160,164,168,173,175,177,179,180,182,184,185,186,183,209,186,121,135,193,175,170,141,115,183,182,180,179,178,177,161,165,169,172,175,178,179,181,184,184,184,183,189,206,169,111,147,191,171,169,115,132,189,181,180,180,180,179,161,166,170,172,175,178,180,182,183,190,170,141,163,186,140,98,151,188,179,158,104,166,188,182,181,180,180,179,161,168,171,174,177,179,181,184,183,192,168,124,115,111,107,92,159,185,178,133,116,189,184,184,183,182,182,180,162,167,170,174,177,180,183,184,189,186,181,163,144,105,88,109,146,161,157,107,147,195,184,185,185,183,182,181,164,169,172,175,178,181,185,183,201,205,195,209,177,134,88,101,115,129,124,101,177,191,185,187,186,185,184,183,165,168,172,177,179,182,183,193,187,185,192,205,167,119,96,92,103,110,102,122,195,189,188,188,187,187,185,184,165,169,173,177,180,183,182,200,162,152,180,157,162,128,104,94,90,101,91,150,200,189,189,189,188,188,185,185,165,169,174,178,181,185,184,203,185,157,131,106,169,151,113,98,89,94,92,169,198,190,190,190,189,188,187,187,166,170,175,179,182,184,187,204,173,133,113,92,148,167,129,105,96,94,88,169,199,191,191,191,190,189,187,187,166,170,175,179,183,183,192,205,165,150,148,118,172,183,144,127,102,97,88,167,201,191,191,192,191,191,189,187,166,171,175,180,184,182,199,208,175,169,138,156,224,185,149,140,108,100,94,173,201,193,193,193,191,191,190,189,166,171,176,181,184,183,200,209,193,159,143,209,214,172,143,138,114,103,98,178,201,195,194,193,192,192,191,190,168,172,176,182,185,184,200,221,194,153,162,215,199,169,139,128,118,104,107,188,201,196,196,195,194,192,192,191,166,171,177,180,184,183,199,213,171,167,164,213,195,173,156,120,111,104,118,198,198,195,196,196,194,193,192,192,164,170,176,179,182,182,195,195,168,188,156,210,195,165,155,124,109,103,132,201,195,196,195,195,192,191,191,191,165,170,176,180,182,184,191,187,199,195,161,207,183,154,136,119,112,102,144,203,196,197,195,194,194,192,192,191,165,171,177,180,183,185,188,191,201,182,155,193,170,142,120,111,109,100,158,203,196,198,196,195,194,192,192,191
0,180,181,180,180,180,180,180,180,179,178,177,177,177,177,175,175,174,174,173,171,170,169,168,167,166,165,164,163,181,182,181,181,181,180,180,181,180,179,178,178,178,177,176,175,175,174,173,173,171,170,169,167,166,165,165,164,182,182,182,182,182,181,182,182,181,180,180,179,179,178,178,177,176,175,174,173,172,172,170,169,167,166,166,165,183,183,183,183,182,182,183,183,182,182,180,175,168,171,176,174,171,172,174,174,173,172,171,170,169,167,166,166,184,184,185,185,184,183,183,181,176,178,176,159,137,135,156,151,137,140,162,165,162,166,170,169,168,168,167,166,185,185,185,185,185,184,182,171,153,151,162,152,126,107,121,135,116,101,120,131,120,127,155,156,156,167,167,166,187,186,185,185,185,184,182,169,147,129,136,151,128,104,111,137,120,94,94,118,103,87,115,133,132,164,168,167,187,187,186,185,185,185,183,176,157,133,117,142,131,107,108,138,124,96,93,121,108,79,84,118,119,159,169,168,188,187,187,186,186,187,179,167,159,132,106,133,132,106,105,135,122,93,83,112,104,76,73,110,109,146,169,170,189,188,188,188,188,186,167,145,151,120,98,128,123,96,97,125,111,84,74,105,98,70,71,110,106,121,162,170,189,189,188,189,188,182,156,134,145,115,96,123,111,85,90,117,103,77,84,119,104,66,71,115,113,102,139,167,189,188,189,189,189,182,162,143,144,121,103,123,113,86,93,123,107,79,104,134,103,64,83,122,117,93,116,164,189,190,190,190,188,174,153,135,129,114,102,127,121,89,102,133,114,81,93,112,79,68,110,132,114,87,121,166,190,191,192,191,184,162,137,116,102,89,89,119,114,84,94,126,110,73,57,59,57,93,132,132,102,93,146,171,192,192,192,190,182,163,138,113,92,82,82,94,97,79,73,91,95,93,94,82,88,125,136,119,89,117,166,173,193,193,192,189,180,163,140,115,94,88,91,93,99,100,97,107,126,138,138,128,118,127,124,98,89,146,173,173,193,193,193,190,182,165,144,120,99,90,94,104,120,132,139,147,152,148,140,132,116,111,106,81,108,166,175,174,193,193,193,190,183,167,147,127,108,99,99,115,140,153,160,161,155,145,135,127,107,94,86,79,138,174,176,175,193,193,193,190,185,170,152,134,117,111,113,137,161,166,166,161,152,140,129,119,96,77,72,107,165,177,177,176,194,194,193,191,187,174,157,142,130,126,135,157,169,170,166,158,147,135,121,106,81,66,95,153,177,178,178,177,194,194,194,191,187,177,162,148,138,136,151,165,171,171,163,150,139,127,111,90,68,89,149,177,180,179,178,177,194,195,194,191,186,179,166,153,142,140,158,168,170,167,155,139,127,115,96,73,83,143,177,180,180,180,179,177,195,195,195,190,185,179,169,158,145,142,157,166,163,155,142,127,113,97,76,80,136,177,182,181,180,180,179,177,195,196,196,192,187,181,173,164,153,145,154,160,152,142,129,113,95,76,77,130,175,184,184,182,181,180,178,178,196,196,197,193,188,180,174,169,159,150,152,153,142,129,116,98,75,77,129,175,185,185,184,182,181,180,179,178,196,197,196,193,187,180,179,177,166,155,149,144,130,116,102,80,79,132,177,187,188,186,184,182,182,181,180,179,196,196,195,191,186,177,179,176,164,153,144,135,118,101,85,77,130,179,189,189,188,187,185,183,183,181,180,179,197,196,194,188,181,168,174,169,158,149,139,125,109,92,74,97,170,189,189,188,188,187,185,184,183,182,181,180
18,107,108,110,111,113,117,120,123,124,127,130,130,131,134,134,136,137,137,138,139,139,139,140,140,139,139,139,139,107,109,110,112,114,117,120,123,126,128,130,131,132,134,134,136,138,138,139,140,141,141,141,140,140,140,139,140,107,110,111,112,114,119,122,125,128,129,131,133,134,135,136,138,139,139,140,140,142,141,141,143,142,142,140,140,107,110,111,113,115,119,123,127,129,130,131,133,134,136,137,139,139,139,140,141,141,143,141,109,142,141,142,142,109,111,112,114,117,118,123,127,129,130,132,134,136,138,139,139,139,139,141,142,139,155,144,77,97,153,145,141,110,112,113,114,118,121,124,127,130,132,134,135,136,138,139,140,140,141,142,148,133,149,148,98,71,105,133,147,111,112,114,115,119,122,125,128,130,133,135,136,137,140,142,140,145,126,104,125,130,126,159,131,103,73,69,105,111,113,114,116,119,123,126,129,131,132,134,136,137,138,126,143,154,119,107,68,112,127,158,142,111,103,100,70,111,113,115,116,119,123,126,129,133,134,135,133,144,145,110,87,140,130,117,75,93,126,134,139,126,112,101,85,112,114,116,117,120,123,127,130,133,136,135,138,158,147,131,77,116,146,112,83,64,119,97,94,125,122,101,91,113,114,116,119,122,124,128,131,134,136,134,160,169,151,135,95,90,146,113,88,51,90,84,53,146,141,113,95,114,116,116,119,123,126,129,132,135,137,139,160,168,158,134,103,71,135,108,80,42,50,66,54,138,152,122,94,114,117,117,119,123,126,130,133,136,133,149,172,158,143,136,100,60,101,87,67,47,32,41,32,131,148,128,95,114,116,118,120,124,127,130,134,136,136,166,165,151,122,105,78,56,79,73,65,32,28,83,74,144,153,120,94,115,117,118,120,124,127,131,135,132,150,173,143,136,118,67,61,56,75,83,57,55,131,151,120,118,137,105,89,117,118,119,121,125,130,132,136,134,147,183,163,129,98,75,77,53,98,108,96,152,156,141,126,88,117,95,86,117,118,119,122,126,130,133,136,137,145,182,168,142,99,93,92,54,104,130,158,161,140,122,127,92,95,99,83,117,119,120,123,126,131,134,138,135,153,183,169,149,126,112,112,90,101,170,164,145,128,114,120,115,82,96,73,117,120,120,123,127,130,134,139,136,159,182,164,135,126,107,96,114,169,167,149,135,127,123,120,118,87,79,65,118,120,120,123,128,131,134,139,136,163,181,157,136,127,108,106,146,174,161,142,137,135,115,117,111,84,64,50,119,121,121,124,129,133,135,138,136,165,176,157,137,140,111,138,150,161,153,135,137,123,101,116,101,74,58,33,120,122,122,125,129,132,136,139,138,165,173,160,152,143,116,129,146,143,143,127,126,110,105,113,85,66,39,76,120,121,123,125,129,133,136,140,139,162,170,157,157,134,113,108,132,130,131,124,118,106,105,87,68,50,48,148,119,121,122,126,130,134,137,140,139,162,171,161,155,125,94,114,122,129,131,122,115,100,86,62,56,33,119,164,120,122,123,127,130,134,137,141,141,158,166,162,136,103,97,121,120,131,131,122,105,93,73,62,38,75,166,156,121,121,122,126,130,134,136,141,141,160,156,147,135,128,126,123,120,135,127,112,90,82,69,49,41,148,161,156,121,121,123,126,130,137,143,140,144,172,167,162,159,149,136,121,113,131,120,102,82,71,58,39,128,165,157,159,121,122,125,128,135,120,110,136,151,174,166,167,157,145,127,121,112,123,114,95,79,66,41,99,172,157,160,160
13,142,146,149,150,152,154,156,158,158,159,160,161,161,161,160,161,160,158,158,158,156,155,154,154,153,150,149,147,144,147,149,151,153,156,157,158,159,161,162,162,163,163,163,163,162,162,161,159,158,157,156,156,155,152,151,149,146,148,151,152,154,157,159,160,162,163,164,164,164,164,163,164,164,164,164,163,161,160,159,158,156,154,154,152,146,150,153,154,154,157,161,162,164,165,165,167,167,167,167,164,165,168,167,163,163,163,161,160,158,158,156,154,147,151,153,154,156,159,162,164,164,166,166,169,170,161,165,171,167,163,167,169,163,164,163,162,161,159,157,155,148,152,154,155,158,161,163,165,166,168,167,170,158,121,91,148,161,115,89,140,172,164,164,163,162,161,159,157,149,153,155,156,159,162,164,165,167,169,167,174,168,132,99,76,121,115,65,62,173,166,167,165,164,162,160,157,151,154,155,157,161,164,166,167,168,171,171,174,186,144,121,59,88,124,87,37,148,174,169,167,166,164,161,160,152,155,157,158,161,164,167,169,170,172,172,171,182,149,110,60,65,114,85,30,132,178,168,168,168,166,164,163,152,156,158,159,162,165,167,171,172,173,177,179,173,148,105,66,46,83,67,25,129,179,168,169,168,166,165,163,153,158,159,161,163,166,169,171,172,168,137,152,150,144,107,78,45,84,74,29,147,179,170,170,169,167,165,164,153,156,159,162,164,169,171,171,175,150,93,75,81,128,149,105,56,90,92,33,145,182,171,171,171,169,167,166,154,158,160,163,165,168,172,173,186,144,101,88,54,110,174,120,58,71,85,26,82,186,171,172,171,170,168,168,154,159,161,163,167,168,170,157,118,134,121,108,66,32,118,84,49,63,59,48,40,146,183,171,172,171,170,168,154,159,162,164,167,165,178,142,80,81,139,112,92,27,3,14,31,68,68,74,59,75,185,174,173,171,170,170,156,160,162,164,165,180,182,123,98,74,111,120,91,64,3,26,45,53,98,97,85,41,150,182,173,172,172,170,156,159,164,165,169,183,141,129,115,97,72,116,99,79,21,28,96,105,110,98,85,39,127,186,173,173,172,170,156,161,165,166,169,189,141,114,112,94,71,88,91,56,24,32,122,140,134,88,71,39,143,186,173,172,171,170,157,161,164,167,173,179,141,94,85,83,57,29,60,47,36,53,139,136,128,97,59,43,170,181,176,174,172,171,158,161,165,166,171,172,161,134,91,56,31,12,47,73,54,105,160,132,119,91,42,65,188,178,179,176,174,172,158,163,166,166,168,172,170,148,115,90,75,70,72,83,93,163,156,123,102,85,32,99,194,179,179,176,175,173,159,165,165,167,171,170,164,154,130,113,88,86,104,146,159,161,140,115,92,76,29,134,192,179,180,177,175,173,160,164,165,168,170,173,161,142,126,105,86,88,99,160,156,144,126,104,85,60,32,165,187,180,180,178,176,173,160,165,166,168,171,175,153,131,127,107,92,95,95,142,150,140,115,91,74,45,50,188,182,181,180,178,176,175,161,165,166,169,171,177,165,137,127,111,104,99,97,137,146,134,108,77,64,21,101,197,181,181,180,179,176,175,160,164,164,168,170,175,180,146,126,122,107,92,88,118,132,118,90,62,42,31,173,187,183,181,180,177,176,176,159,164,165,168,171,173,179,172,137,120,102,92,84,100,117,106,77,59,21,96,198,182,184,181,179,177,177,178,157,162,164,166,170,173,175,179,158,123,103,89,88,93,108,102,76,57,25,151,191,182,181,180,178,177,175,174
5,141,142,141,143,145,146,147,147,148,148,149,149,147,149,153,149,149,149,147,147,146,144,142,141,142,139,137,136,144,145,146,147,150,151,151,151,152,152,154,153,154,151,133,152,152,151,151,151,149,148,146,144,144,142,143,140,151,151,151,152,154,155,156,155,157,159,158,162,158,169,87,132,162,155,156,155,153,151,151,149,149,147,146,142,154,155,156,157,158,158,159,160,162,163,160,127,147,186,93,105,173,159,160,158,158,157,156,154,153,152,150,148,158,159,161,161,163,164,163,166,167,164,175,109,106,196,93,85,180,162,164,162,161,160,159,159,158,155,154,151,162,162,165,164,167,170,170,169,171,166,187,128,89,195,87,84,184,166,168,167,165,163,162,162,161,160,158,155,166,165,168,170,171,171,166,171,174,170,193,134,76,192,102,92,186,170,172,173,169,168,166,165,165,163,161,159,169,170,172,174,173,179,134,131,185,171,195,143,76,187,94,101,190,174,177,177,181,173,169,170,169,166,165,163,173,175,176,177,175,187,144,90,186,173,198,148,66,179,79,108,192,177,178,167,138,170,175,172,170,170,169,168,176,178,179,179,178,192,167,67,183,180,194,142,49,181,105,110,194,177,184,174,108,122,190,176,174,174,173,171,177,179,180,181,183,189,168,65,179,185,187,160,55,157,122,111,194,172,162,147,172,126,153,181,179,177,175,173,180,182,183,184,187,188,193,78,157,192,181,175,57,115,129,121,189,181,131,45,151,144,99,182,182,179,177,177,184,184,186,187,188,190,199,119,118,197,184,180,60,100,128,122,180,178,121,112,174,108,130,193,183,182,180,177,186,187,188,188,190,188,183,189,138,151,176,161,97,117,113,97,149,150,113,183,166,81,180,188,185,184,181,180,186,190,190,191,192,195,175,197,178,133,136,133,107,110,102,98,152,142,128,194,131,74,197,187,188,186,185,185,190,193,193,194,193,197,190,192,206,159,125,122,93,99,99,101,147,138,148,204,94,79,207,190,190,189,188,187,191,193,194,196,197,197,198,194,225,185,110,104,82,79,95,106,143,130,152,209,90,108,210,190,192,191,189,188,192,193,196,196,196,197,198,199,226,194,114,73,77,74,90,127,151,116,143,206,100,124,210,191,194,195,192,188,194,195,197,198,199,199,198,199,224,190,125,73,76,74,116,138,167,169,136,190,104,130,211,193,196,195,194,190,196,196,197,199,202,202,202,196,219,185,128,78,67,90,132,154,184,189,146,146,77,126,214,196,196,196,194,193,195,197,199,201,202,203,205,195,217,189,137,79,68,101,151,178,181,181,150,93,38,113,217,198,199,197,195,195,197,200,201,203,203,204,207,196,212,190,138,84,71,100,166,193,188,165,118,59,22,156,212,200,202,200,196,196,199,202,202,203,204,206,208,198,199,189,136,88,80,96,180,198,173,139,96,29,98,216,202,204,204,201,198,196,201,203,203,204,204,207,209,193,183,186,135,102,89,95,174,176,152,121,66,47,200,212,204,204,204,203,199,197,200,201,203,204,205,207,212,195,177,175,126,117,89,96,155,160,142,100,25,134,223,207,207,206,205,204,201,198,198,200,201,203,204,205,208,199,173,164,129,118,82,92,141,144,116,41,67,215,209,209,206,206,205,204,202,201,198,200,203,204,204,205,210,196,180,168,130,115,89,74,119,102,57,41,188,214,207,208,206,206,204,204,202,200,200,202,204,204,204,206,211,191,185,158,108,103,88,65,93,60,26,154,223,207,211,208,207,208,204,203,201,199
1,40,43,48,51,64,83,97,103,106,112,118,123,127,130,138,137,139,142,143,144,146,147,149,149,150,151,151,151,41,44,49,54,67,85,99,106,109,116,122,125,130,144,123,141,144,142,143,144,145,147,148,148,149,149,149,149,42,46,50,55,70,89,103,109,113,121,125,126,144,173,84,115,134,145,145,146,147,147,148,149,149,149,150,149,43,47,52,56,73,92,106,112,118,124,137,130,135,181,80,94,99,122,155,150,150,150,150,150,149,151,150,149,44,48,53,58,76,96,110,115,123,125,170,140,99,181,79,97,114,84,162,155,155,155,155,154,153,153,152,152,45,50,54,58,78,100,113,118,128,129,175,147,90,165,78,91,125,65,154,162,161,161,161,160,158,158,157,156,47,50,55,62,83,102,115,120,131,131,179,150,77,159,98,91,132,67,145,172,165,166,166,165,163,163,162,161,48,52,56,65,87,106,118,124,136,141,169,154,70,131,97,93,148,77,134,180,171,173,172,170,168,167,166,165,48,52,56,67,91,110,121,124,151,149,141,155,67,108,96,79,142,76,131,186,175,177,177,176,174,172,171,170,50,54,57,70,95,113,125,123,179,140,129,152,67,125,109,77,164,96,128,192,179,181,181,180,179,178,178,177,50,55,58,72,98,117,127,128,187,121,123,167,76,118,109,78,173,112,121,195,184,186,186,184,183,183,182,180,53,56,58,75,102,120,129,135,189,112,107,167,70,81,95,78,167,115,111,200,187,189,188,188,187,187,185,184,55,59,60,78,104,123,131,142,194,119,79,153,78,81,94,115,147,102,104,202,191,193,193,192,191,190,189,188,55,58,61,82,108,126,134,146,202,131,56,169,159,119,121,138,121,74,93,201,195,196,196,194,193,193,193,193,54,57,61,85,111,130,137,150,198,121,97,138,125,112,116,107,103,101,76,191,201,198,199,199,198,196,195,195,55,57,62,87,113,133,139,156,202,147,137,98,89,113,116,91,114,141,104,137,212,200,202,202,202,202,201,200,55,57,64,91,116,136,140,168,211,156,120,86,102,95,123,138,161,174,159,95,164,213,202,204,203,202,204,203,56,58,66,95,119,140,141,179,213,150,105,84,103,114,156,205,172,174,179,102,81,203,208,207,206,206,205,203,56,58,67,98,123,143,143,184,216,151,99,92,111,128,179,207,212,182,138,79,69,184,216,207,206,207,214,219,56,58,70,102,126,145,147,180,221,160,99,97,118,147,187,203,207,175,119,73,74,200,212,211,222,216,181,125,57,58,72,104,129,148,148,177,217,173,115,96,127,156,196,209,198,162,114,69,89,216,217,211,148,85,37,17,56,58,74,107,132,150,153,175,214,191,137,101,131,154,201,211,182,148,109,65,110,234,196,82,18,14,22,20,55,56,76,109,133,150,154,171,203,194,152,112,127,155,202,201,175,138,100,55,147,191,60,29,31,5,24,23,53,54,76,110,136,150,154,168,188,192,161,127,130,153,196,190,165,127,91,62,102,47,8,24,43,4,3,32,53,54,78,113,139,152,157,170,179,189,169,141,139,136,185,175,155,113,82,60,46,33,26,0,30,25,0,14,47,49,76,113,140,155,160,172,181,185,170,146,142,124,161,159,136,98,74,51,57,39,24,1,4,36,0,0,66,66,86,116,139,153,159,171,182,183,170,152,144,127,129,148,122,89,62,45,56,41,16,6,0,19,17,0,98,99,98,95,100,107,111,115,116,132,180,158,148,129,114,132,113,81,49,39,52,28,27,3,0,3,26,0
12,163,168,171,175,177,180,182,185,188,189,189,189,191,193,192,189,189,193,195,188,189,188,187,188,188,187,186,184,164,168,172,175,177,182,185,187,188,189,191,192,191,184,182,196,193,165,167,196,191,192,192,188,189,188,188,186,165,168,172,176,179,182,185,188,188,191,194,190,204,189,153,166,206,184,133,155,181,151,173,195,190,190,189,188,167,171,174,178,181,184,187,189,191,193,193,193,224,222,195,143,150,218,182,113,126,155,118,184,195,191,191,189,169,172,176,179,182,187,188,190,192,194,190,215,207,210,209,159,98,174,186,122,80,142,121,122,200,192,192,192,171,174,177,180,184,187,189,192,195,194,191,226,176,195,209,146,94,161,171,118,82,117,126,86,189,195,192,193,173,175,179,182,186,189,191,195,194,197,200,155,130,198,186,132,86,168,162,108,87,126,113,91,195,194,194,193,174,178,181,185,188,191,195,193,204,224,203,133,93,143,177,152,76,154,194,127,89,153,119,108,204,193,194,194,176,180,183,187,189,193,192,209,224,216,206,153,94,98,188,147,64,160,205,119,98,191,120,141,208,195,196,195,178,181,185,188,193,193,207,225,183,185,215,159,94,57,143,131,40,95,190,107,86,166,121,186,203,198,198,197,180,184,188,191,195,195,221,216,184,163,198,149,99,54,69,72,68,99,112,127,133,141,92,171,209,198,199,199,182,186,190,194,195,204,211,183,157,122,179,150,102,60,68,73,159,207,168,165,145,133,111,120,210,199,200,199,183,189,192,196,197,200,219,191,166,109,154,150,99,65,79,127,186,199,187,162,133,105,121,99,194,206,201,200,186,191,194,197,198,203,221,196,170,127,129,153,124,72,107,174,197,192,184,164,132,104,101,99,202,206,202,202,188,193,196,200,200,213,225,204,180,151,110,143,143,84,174,205,201,194,191,149,125,104,72,139,216,202,201,200,192,196,199,203,202,220,227,211,189,158,129,120,118,148,210,207,208,206,178,131,118,93,79,197,208,208,212,211,194,198,201,204,204,223,224,214,195,165,154,137,134,181,195,203,212,200,157,123,114,71,131,230,211,194,163,130,196,200,203,206,206,217,219,219,200,175,168,149,143,175,181,206,211,185,141,116,103,72,169,155,109,74,57,54,200,204,205,208,210,210,222,220,203,184,179,160,147,183,177,209,203,164,128,107,93,70,68,50,46,48,50,48,202,206,208,210,214,208,220,215,202,189,185,167,150,182,193,189,180,144,114,99,83,50,46,47,48,46,50,41,205,208,211,213,217,210,214,216,202,190,180,169,159,171,191,170,152,128,106,96,58,33,52,49,37,40,53,47,206,209,212,214,218,209,209,220,203,188,176,164,151,157,177,160,138,118,99,85,47,25,42,57,40,31,44,52,207,209,212,214,220,208,212,217,195,180,173,162,145,156,168,151,120,110,94,64,60,28,27,48,53,33,33,47,208,212,215,218,222,209,214,213,179,168,170,156,143,158,156,138,106,98,54,40,61,44,15,33,50,45,28,35,210,213,216,219,224,207,215,220,178,176,178,164,153,160,143,123,102,78,35,28,50,56,19,20,39,50,37,26,211,215,218,219,228,189,210,222,186,194,191,169,152,155,134,118,95,57,46,23,37,54,33,12,27,46,47,29,216,219,223,222,239,135,189,228,204,216,196,162,154,153,129,112,84,47,43,29,22,46,43,12,17,38,48,38,187,192,197,201,213,100,120,221,205,211,181,150,158,152,124,109,70,53,39,32,15,40,46,18,11,31,46,45
1,142,144,146,148,149,150,151,151,150,151,152,152,152,153,152,153,153,153,155,153,153,154,154,152,152,151,152,151,145,147,149,151,152,152,152,154,153,154,155,155,155,154,157,156,157,155,146,156,155,156,156,155,155,154,155,154,148,150,152,155,154,155,155,156,156,158,159,158,158,161,140,150,169,164,105,153,161,158,158,158,157,157,155,155,151,152,156,157,157,158,159,159,159,159,160,158,165,177,113,137,176,154,98,156,156,161,161,160,159,158,157,157,154,156,160,160,161,161,162,162,162,163,163,160,175,171,107,146,177,138,105,164,133,130,168,161,162,161,160,160,157,159,162,163,165,165,164,164,165,166,161,136,171,159,107,157,178,125,113,172,137,104,170,164,164,163,162,162,159,161,165,165,166,167,168,168,167,177,161,115,152,150,112,167,183,128,128,180,138,104,169,167,166,166,165,165,162,165,166,167,167,171,171,171,169,183,152,112,149,148,121,169,175,124,138,184,130,108,173,168,168,168,167,167,165,167,168,170,171,173,172,172,171,183,141,116,144,133,115,158,162,116,149,187,129,114,178,171,171,171,169,168,166,169,170,172,173,175,175,173,173,189,143,124,139,134,101,165,160,113,165,183,128,121,183,174,173,173,173,172,169,171,172,174,175,176,177,177,177,189,134,116,141,149,103,175,164,119,175,172,121,132,184,175,177,177,175,175,171,173,174,176,177,178,178,177,181,193,150,111,129,137,97,168,145,123,185,176,119,145,186,177,179,178,177,177,173,175,177,178,179,180,180,178,182,193,146,102,127,124,99,153,126,134,187,170,115,158,187,180,181,179,178,178,174,176,178,180,182,182,182,180,186,194,155,129,148,170,161,170,168,131,150,166,111,170,187,183,183,181,180,179,175,177,179,181,183,183,184,181,193,194,160,138,116,146,178,176,178,153,111,137,111,181,187,184,183,183,183,182,177,178,181,182,183,184,185,183,199,182,148,124,105,101,125,138,184,184,132,88,112,190,186,186,186,185,183,183,177,180,182,183,184,186,186,186,204,183,149,118,110,114,120,140,190,200,168,92,124,197,186,187,187,186,185,185,180,183,184,186,187,188,187,189,205,182,143,122,122,124,149,176,168,193,176,114,133,199,187,189,188,188,188,187,181,184,185,186,187,189,188,192,204,178,146,121,130,129,171,194,179,163,150,121,109,193,190,190,189,188,188,188,183,185,186,187,187,188,189,196,202,180,151,132,135,145,192,195,175,156,127,104,113,196,191,191,191,191,190,190,184,185,187,188,188,191,191,196,201,180,151,141,130,159,202,199,167,145,118,89,127,201,192,193,192,192,192,191,186,187,188,189,190,191,192,194,199,178,155,147,132,156,202,194,158,136,110,87,157,202,194,194,194,194,192,192,186,187,189,191,192,192,192,193,194,179,162,156,135,152,201,176,148,124,100,107,196,197,195,194,195,193,194,194,185,188,190,191,191,192,193,194,192,181,164,159,133,157,193,166,145,114,88,145,204,195,197,195,195,195,197,195,187,189,191,193,193,193,195,195,198,183,166,156,126,159,177,154,135,105,91,181,203,197,197,196,196,196,196,195,187,189,192,194,194,195,194,193,201,187,173,149,130,157,153,138,125,92,117,203,199,199,199,199,198,198,197,196,187,189,190,192,194,195,190,196,200,198,181,151,139,156,144,134,116,91,166,205,199,200,200,200,200,199,199,198,186,189,190,191,192,192,189,197,193,189,177,151,146,145,137,125,96,127,204,200,200,200,201,200,200,199,199,198
18,171,172,173,173,173,174,175,175,175,175,175,174,173,172,172,171,170,170,169,169,167,166,166,164,162,161,160,159,172,173,174,174,175,176,177,177,177,177,177,175,174,173,173,172,172,172,172,170,168,167,166,165,163,162,161,160,173,174,175,175,176,178,178,178,178,178,178,178,177,177,176,175,175,174,172,173,170,169,168,167,165,163,161,160,174,175,176,177,179,179,179,180,180,180,180,179,179,166,147,163,173,153,131,141,171,169,159,163,167,164,163,162,175,176,178,179,180,180,181,182,182,181,180,180,180,150,112,105,142,141,107,84,136,141,114,108,149,167,165,165,176,177,180,180,180,182,183,182,183,176,151,152,171,154,123,98,106,159,115,92,84,113,106,81,97,166,167,166,177,179,180,182,181,182,183,183,185,176,141,123,127,158,134,105,92,151,123,105,96,96,103,88,69,149,169,165,180,181,181,183,183,184,184,185,187,180,161,141,115,128,145,110,88,116,131,119,111,105,117,100,66,142,170,168,181,181,182,183,184,186,187,186,186,170,170,145,124,96,131,116,93,91,133,127,116,114,113,96,65,144,172,170,181,181,182,183,184,186,187,188,189,148,142,144,113,72,108,118,90,76,118,114,112,114,113,97,65,135,174,171,181,182,183,185,186,187,188,190,182,130,105,139,92,60,89,97,72,62,99,84,96,137,133,104,70,120,175,173,181,183,185,186,187,188,188,191,181,146,116,131,90,63,80,80,63,54,77,65,78,152,142,113,78,104,176,173,183,185,186,186,188,188,188,193,187,163,129,120,101,70,78,87,66,51,74,66,66,136,148,124,88,85,172,174,185,185,187,187,188,189,189,193,186,156,126,102,87,61,78,91,64,51,75,106,137,146,161,136,95,71,161,175,185,186,188,189,189,190,190,193,174,141,117,96,75,61,64,69,60,68,104,153,164,154,148,132,93,64,151,178,186,187,188,189,189,191,191,193,184,160,135,109,86,80,76,78,97,124,156,170,163,154,132,112,82,64,156,177,187,187,188,189,190,192,192,193,189,169,143,113,89,83,89,104,131,156,176,176,157,141,120,93,69,81,173,178,187,188,188,190,192,193,194,194,191,175,150,122,101,93,94,108,150,172,182,171,148,130,111,84,56,118,180,178,188,189,190,191,193,193,194,194,190,178,155,131,112,102,99,118,166,179,177,163,140,121,104,75,60,157,181,179,188,190,191,191,193,194,195,192,186,174,155,134,119,109,106,127,173,174,167,154,135,113,95,66,85,179,181,180,188,191,192,192,193,194,195,192,180,168,155,138,125,120,112,134,169,169,158,140,126,107,85,56,122,185,182,180,189,191,192,193,194,195,196,195,181,168,158,143,132,129,117,138,163,164,151,129,115,97,74,60,159,183,181,180,191,192,193,195,196,197,197,198,188,167,159,149,138,129,115,133,158,155,143,123,102,84,59,93,182,183,182,182,191,192,193,195,196,196,198,199,194,174,165,156,143,128,113,121,147,144,130,110,90,72,55,148,187,185,183,182,192,193,195,196,196,197,198,199,198,185,171,158,146,135,122,118,134,134,119,100,80,56,89,184,187,185,184,183,192,193,195,196,196,198,198,198,197,192,179,161,146,134,125,120,126,127,111,92,70,54,149,190,187,186,184,183,193,194,195,196,197,198,198,198,197,194,182,159,146,141,137,132,124,120,104,85,59,94,186,188,187,187,186,184,194,195,196,196,197,198,198,199,196,194,182,163,156,152,141,132,118,115,98,76,57,140,191,190,188,187,186,185
10,93,102,113,119,123,128,131,133,136,139,141,143,144,146,147,149,151,153,154,155,156,157,159,159,160,161,162,163,94,102,114,120,124,128,131,133,137,140,142,143,145,147,150,150,147,148,156,156,158,159,160,160,162,163,165,165,96,106,117,122,125,129,132,134,139,142,143,144,146,149,150,158,147,115,156,158,160,160,162,163,164,166,166,167,98,107,117,122,126,130,134,137,139,142,144,146,148,150,151,167,153,103,146,160,161,162,164,165,166,167,168,169,99,109,118,123,127,131,135,138,140,142,144,147,149,151,150,169,157,109,136,162,162,165,166,166,167,167,169,169,99,110,119,123,127,132,137,139,140,143,145,145,149,153,153,163,163,123,126,165,163,164,166,168,168,169,169,170,101,111,120,123,129,133,137,139,141,143,145,149,154,130,150,165,174,138,112,165,165,165,167,169,169,169,170,171,103,114,122,126,130,134,137,140,143,144,146,152,161,110,116,167,174,148,105,160,166,167,168,169,170,172,172,173,104,115,122,126,130,135,137,142,146,146,148,163,149,113,89,162,165,143,103,156,168,169,169,168,170,171,171,172,105,116,123,127,130,136,148,124,114,111,122,154,160,132,90,143,161,133,99,146,170,170,170,170,172,172,173,173,106,117,123,127,130,139,140,106,82,76,76,96,162,145,95,114,149,120,99,135,171,170,172,172,173,175,175,175,107,119,123,128,133,138,134,112,87,77,93,83,138,156,109,106,129,104,99,122,174,171,172,173,174,175,176,175,108,118,124,129,133,138,142,143,140,121,95,76,128,163,122,96,101,91,99,110,174,171,173,174,175,176,175,175,109,119,123,129,134,139,141,141,170,159,98,72,148,168,130,83,76,88,100,103,172,173,174,175,176,176,175,176,109,119,123,129,133,136,140,141,172,157,103,61,163,169,136,91,70,90,101,91,163,174,175,175,177,176,176,176,111,120,124,129,134,136,157,159,171,163,103,55,180,171,134,96,71,86,97,83,151,177,175,176,177,178,178,178,112,121,125,129,135,135,170,170,164,155,98,102,183,163,131,92,71,79,91,75,142,178,175,176,177,178,178,179,113,120,125,131,134,137,154,170,157,151,120,181,173,155,135,95,75,78,82,76,160,176,175,176,178,179,179,179,114,120,125,131,136,140,144,151,134,155,164,197,173,149,132,100,79,78,74,98,177,174,175,176,178,179,179,180,115,120,126,131,136,140,143,154,133,169,193,192,171,145,125,100,81,75,67,135,178,175,176,176,178,180,180,180,115,120,126,130,135,140,143,170,157,147,191,185,167,143,123,102,82,71,73,166,175,176,176,177,179,180,180,179,115,121,126,131,135,139,143,182,170,140,187,182,167,141,122,103,83,67,102,178,174,175,177,178,179,180,180,180,116,122,126,131,134,139,147,189,179,160,191,179,166,144,123,105,82,64,144,177,174,176,178,179,179,179,180,181,115,121,126,131,135,139,149,194,183,171,185,179,174,147,123,105,77,79,172,174,175,177,178,179,180,180,180,181,117,121,127,133,136,140,149,193,178,176,181,178,180,153,121,103,72,110,178,174,175,176,177,179,180,181,181,182,117,121,126,132,136,139,149,186,171,172,179,178,180,155,121,99,69,145,176,174,176,177,178,179,180,181,181,182,117,122,127,133,136,139,147,170,170,181,181,176,176,150,118,91,89,172,174,174,176,178,178,179,180,180,181,182,116,121,127,132,135,140,144,175,182,187,181,171,170,145,114,82,117,176,173,174,176,177,179,180,181,180,181,182
24,100,106,111,115,119,122,125,128,130,133,136,139,140,142,143,145,145,146,146,146,147,148,147,148,148,148,147,146,102,107,113,117,120,123,126,129,133,135,138,140,142,144,146,146,146,147,147,148,149,149,150,151,150,150,149,149,104,110,114,121,122,126,128,130,134,137,140,142,144,146,147,147,148,150,151,150,151,151,153,153,152,151,152,152,105,111,118,109,124,127,130,133,135,139,142,144,146,147,149,150,151,152,153,152,153,153,154,154,153,153,154,154,106,115,122,69,102,133,130,135,138,140,143,145,147,149,152,152,152,153,153,154,154,153,154,154,155,155,155,154,107,115,115,65,63,137,132,137,139,142,145,146,147,150,153,153,153,154,155,157,157,154,156,157,157,157,157,157,109,116,122,82,44,123,136,136,142,144,145,149,153,154,154,158,158,155,157,158,158,157,157,158,158,158,158,158,110,116,125,97,41,98,143,139,142,145,150,148,136,148,159,137,146,161,156,158,160,159,158,159,159,159,158,160,112,118,126,112,62,62,142,138,106,94,138,145,107,75,116,124,85,136,164,159,160,159,160,160,160,152,135,100,113,119,124,131,88,42,110,133,112,100,103,155,126,72,96,137,82,73,168,160,160,161,161,161,153,135,94,75,114,119,124,132,105,68,72,121,149,131,97,143,138,89,114,138,81,54,154,166,163,163,161,156,141,102,76,154,114,120,125,129,127,98,71,63,147,142,94,124,144,89,110,139,82,40,135,171,163,164,157,153,125,66,124,173,116,121,126,130,137,106,81,82,109,152,110,103,149,95,96,145,99,35,122,174,165,154,155,148,93,62,164,166,117,123,128,132,137,121,131,117,90,129,114,67,130,91,73,143,114,39,88,175,143,139,152,121,58,127,172,165,118,124,128,133,133,144,143,92,64,84,105,46,100,90,63,174,143,34,35,97,116,137,126,68,97,176,165,169,117,123,128,133,135,142,132,98,77,75,94,70,89,100,61,95,78,38,78,107,118,114,82,66,163,170,169,169,118,124,127,131,135,138,154,136,96,81,79,91,66,123,87,67,122,132,138,124,95,83,50,121,177,166,169,168,118,124,128,131,135,138,154,146,121,102,82,72,77,114,135,163,161,148,133,114,81,60,70,166,167,167,169,168,118,123,129,132,136,139,153,155,144,116,85,65,101,141,165,157,150,136,122,100,72,54,141,172,167,170,170,170,118,124,128,132,138,139,153,161,153,115,84,81,118,150,162,155,143,124,103,87,53,108,176,167,170,171,171,171,118,123,129,133,137,139,147,157,159,123,106,111,113,150,158,154,136,116,94,69,63,165,169,168,170,171,171,171,114,121,126,131,136,141,143,151,155,131,112,120,99,134,148,142,127,112,84,53,126,180,170,172,171,172,173,173,73,76,77,79,82,88,88,121,150,130,115,112,83,106,129,116,107,92,67,73,148,149,153,155,158,161,165,167,65,64,66,67,67,68,63,78,152,135,107,97,73,98,125,106,87,72,59,69,73,74,77,79,80,84,84,84,68,69,73,73,74,74,76,71,141,126,96,87,82,101,121,98,75,57,58,76,76,77,77,78,73,71,79,92,68,68,70,70,70,72,73,70,144,123,106,102,101,103,109,88,62,50,65,78,78,78,79,82,99,134,143,131,69,70,72,71,71,73,72,75,157,138,126,121,107,95,102,77,57,48,71,79,78,80,74,98,160,151,167,141,70,71,72,72,72,73,72,80,151,138,134,125,95,86,95,68,57,46,71,79,78,79,78,147,179,145,133,165
0,215,216,216,215,215,215,214,214,214,216,215,215,215,214,213,212,213,212,211,211,209,208,209,209,207,206,205,204,217,217,217,217,217,218,218,217,218,216,216,216,217,216,215,214,213,212,211,211,211,211,211,209,207,206,206,206,218,218,218,218,218,218,218,218,218,217,219,219,218,217,216,215,214,214,213,213,214,212,213,211,210,208,208,206,219,218,218,218,218,218,217,217,219,219,219,219,219,218,217,220,219,215,219,220,215,211,211,213,212,211,210,209,219,219,220,220,219,219,218,218,220,219,219,219,218,219,214,197,207,223,200,185,208,204,174,213,212,212,211,211,220,220,221,221,221,220,220,220,220,219,221,223,224,219,188,154,135,170,170,142,139,198,146,186,220,211,212,210,221,221,222,222,222,222,222,221,223,226,223,204,178,186,186,158,127,106,170,152,109,173,166,142,227,211,212,212,223,222,222,222,222,222,222,222,204,198,211,191,146,113,170,165,149,121,171,154,117,151,187,116,170,226,211,213,223,223,223,223,222,222,220,212,179,132,187,187,150,111,157,173,158,121,174,158,116,124,185,145,116,174,220,212,224,224,224,224,223,223,211,206,183,139,171,191,158,124,153,178,150,116,177,162,116,93,177,166,134,110,216,213,224,224,224,224,224,221,200,197,192,161,158,197,158,129,134,178,151,106,154,144,106,97,184,178,123,124,224,214,225,225,225,225,225,216,194,178,190,170,148,188,154,127,119,177,149,90,97,106,78,133,200,174,104,168,228,214,226,227,226,226,225,213,209,171,173,166,128,167,160,133,98,123,113,64,81,91,111,185,196,157,104,209,219,217,226,228,228,227,224,207,191,146,146,133,87,132,155,127,81,67,80,114,162,153,165,197,183,126,132,230,215,217,227,229,228,229,221,205,199,169,138,106,82,88,113,89,71,91,151,194,191,186,165,176,168,94,170,232,217,217,228,229,228,230,221,206,208,188,154,134,122,117,127,129,147,177,197,195,188,185,157,141,134,85,204,224,219,218,228,229,228,230,220,206,214,192,166,150,137,145,167,193,201,204,207,198,181,176,144,120,88,138,232,220,221,219,228,228,228,230,222,201,215,195,173,147,144,152,186,206,208,211,208,190,172,161,134,87,111,223,224,223,221,221,225,227,226,228,225,194,205,195,178,156,151,162,203,211,208,210,199,176,160,145,107,92,213,227,221,222,222,221,226,228,229,228,230,199,200,201,182,171,163,175,206,209,208,200,181,166,147,126,81,187,232,220,223,222,220,219,229,229,229,228,233,209,190,202,194,184,166,178,202,202,201,190,165,149,135,85,151,235,221,224,223,222,220,220,229,229,229,229,231,222,189,198,194,178,162,172,195,188,184,168,148,133,94,117,229,225,224,224,223,223,222,220,229,229,229,229,229,230,197,193,188,171,162,167,185,177,166,150,130,93,96,216,228,225,225,224,224,223,223,222,228,228,228,228,229,229,202,194,181,163,161,163,179,172,152,135,101,91,209,231,225,227,227,224,224,223,222,222,231,230,230,228,231,222,198,193,185,179,178,170,172,169,142,116,79,196,235,224,226,225,226,225,224,223,222,221,223,226,227,227,232,208,194,201,193,192,181,172,168,160,127,88,127,243,230,233,233,231,230,229,228,226,225,224,151,154,156,159,158,175,199,207,200,190,181,174,162,136,119,84,141,204,199,202,204,207,208,208,209,211,212,212,132,132,129,130,123,165,201,208,195,188,182,172,139,126,110,85,110,132,131,131,131,133,133,134,136,138,139,138
4,161,165,169,172,175,179,181,185,185,188,188,189,192,193,192,194,192,192,189,190,190,189,189,188,188,187,186,185,162,167,171,174,177,180,182,186,188,190,190,195,196,193,190,191,199,194,194,193,193,191,190,189,189,188,188,186,164,169,172,176,180,181,185,187,189,189,189,183,192,211,190,137,151,202,195,195,194,192,192,191,192,191,188,188,166,170,173,177,181,185,187,190,188,208,198,153,140,234,200,142,86,203,203,200,196,196,194,193,194,193,191,191,168,172,177,180,183,187,188,188,182,242,228,171,105,198,207,144,76,137,160,175,204,196,196,196,195,194,193,192,169,174,179,182,184,183,199,219,194,164,226,199,121,164,217,145,52,75,143,98,164,207,196,198,197,195,194,193,170,174,180,184,187,188,230,239,202,105,193,203,114,130,200,126,47,86,149,104,74,202,201,199,198,197,195,194,171,175,181,185,186,192,224,213,190,100,172,178,103,93,157,110,42,111,161,110,54,188,206,200,198,198,198,196,171,178,182,184,187,188,223,191,193,105,151,164,99,61,120,96,58,180,169,97,55,192,206,200,198,200,198,196,173,178,182,186,189,189,229,182,171,154,132,169,142,66,101,71,69,178,132,59,56,205,205,199,200,201,199,198,175,180,184,188,190,191,238,221,177,124,80,187,164,156,141,128,131,159,147,84,58,211,207,204,203,202,201,198,176,180,186,188,189,197,243,214,171,114,70,92,97,174,147,166,189,204,193,115,80,214,207,207,204,204,203,201,176,182,187,189,189,206,240,186,137,107,82,64,54,99,149,163,180,189,172,113,74,202,208,206,205,203,204,203,177,182,186,192,187,217,239,189,145,101,72,68,81,81,112,133,133,143,152,128,62,163,218,206,205,204,205,204,178,183,187,192,186,223,238,195,144,105,85,78,88,118,109,116,147,157,171,145,75,118,225,205,207,206,204,204,178,184,188,193,190,231,234,186,133,97,88,78,82,130,125,172,202,203,208,162,101,68,207,211,208,208,206,205,180,184,189,194,193,234,231,186,136,105,90,89,91,126,148,212,227,217,223,178,118,49,157,224,208,212,207,207,181,184,189,195,193,231,221,186,143,123,107,96,95,123,207,224,230,207,198,162,111,48,148,226,209,211,209,208,180,184,188,194,193,227,214,187,151,125,106,100,104,176,239,234,216,193,161,131,82,60,197,217,211,211,209,207,180,182,188,193,191,224,223,190,139,111,102,112,137,224,240,228,194,164,132,97,51,122,223,210,210,210,209,207,180,182,188,192,192,218,230,192,151,148,122,125,166,237,230,209,174,141,108,69,59,202,216,211,210,211,210,207,180,184,188,193,194,210,224,202,170,164,138,105,184,235,210,184,152,121,88,42,128,228,212,214,212,212,209,207,180,185,188,194,195,208,230,205,171,164,140,105,195,219,184,154,121,93,63,54,206,218,213,213,213,211,209,208,181,185,188,196,190,211,241,216,182,157,124,107,190,194,158,127,92,75,31,132,228,213,214,213,213,213,210,208,182,185,189,195,185,236,238,204,168,136,94,117,174,151,107,87,70,40,68,213,214,213,213,213,213,212,209,207,183,186,194,189,205,249,227,204,175,127,108,136,150,103,72,68,55,52,192,223,215,217,216,216,215,215,213,212,169,171,176,170,231,236,226,211,172,138,129,134,127,86,76,81,47,137,205,196,199,199,199,200,200,200,199,198,104,104,93,134,242,215,202,189,149,133,148,111,95,77,72,66,55,96,98,98,98,96,96,97,98,101,103,100
13,149,150,153,157,159,163,165,167,170,170,172,173,175,174,175,175,174,178,179,177,177,177,176,177,178,178,178,178,150,152,156,158,160,164,166,169,171,172,173,175,176,175,177,176,176,173,171,180,178,179,178,179,180,180,180,180,152,154,158,160,162,165,168,170,172,172,174,178,177,176,179,178,181,158,111,123,185,180,180,179,179,180,181,181,153,156,159,162,164,167,169,170,173,173,176,177,176,178,178,187,196,160,106,73,187,176,184,184,180,181,182,183,155,157,160,163,165,169,172,174,174,174,178,176,182,158,129,149,192,155,104,69,126,113,114,161,189,184,185,184,156,158,160,164,168,170,172,174,176,178,179,185,210,156,114,103,183,146,108,47,111,129,75,83,192,184,186,184,156,160,162,165,169,172,173,175,179,179,177,176,195,181,133,109,174,138,88,69,168,143,81,59,170,191,185,186,158,160,164,167,170,173,175,178,177,179,180,128,97,147,147,97,170,162,73,112,182,131,84,60,174,192,187,189,159,162,166,167,171,174,177,178,178,194,178,134,95,90,145,86,187,176,87,131,173,124,79,65,185,191,190,190,160,163,167,170,174,176,177,177,191,179,180,152,112,76,131,98,108,126,60,129,198,142,68,75,195,191,192,192,161,165,169,172,174,176,178,182,189,146,173,154,110,66,106,121,35,12,54,141,175,118,44,98,201,189,193,194,161,165,169,172,174,177,178,188,189,150,144,149,110,59,87,117,63,0,69,156,135,86,51,145,204,190,192,193,162,165,168,172,175,178,181,194,184,148,126,159,104,66,74,104,68,47,120,155,152,142,106,102,201,194,194,194,164,165,169,172,176,178,180,199,185,154,117,149,101,66,66,123,85,111,192,156,136,121,103,65,163,204,193,195,165,166,169,173,177,179,181,199,181,152,114,132,111,80,69,153,116,157,184,166,137,105,86,66,169,204,194,195,164,167,170,173,177,180,184,199,183,162,140,113,110,98,50,143,164,193,179,155,130,96,77,78,192,199,197,197,165,169,172,175,178,179,186,201,185,166,150,127,96,81,94,185,192,196,175,147,120,91,70,94,204,198,201,199,165,169,172,174,177,179,184,197,185,166,154,148,118,110,126,186,192,190,160,131,106,84,64,140,207,198,200,199,164,168,171,174,177,180,182,190,185,173,160,154,128,111,110,178,196,177,142,116,96,75,85,195,199,198,199,199,164,168,171,175,178,180,182,183,183,175,160,157,137,114,116,172,191,161,132,106,88,62,129,207,196,198,198,198,166,169,172,175,178,181,183,184,186,178,161,155,140,117,121,159,172,143,121,97,81,64,168,201,198,199,199,199,167,170,172,177,178,179,182,185,187,177,159,151,134,110,122,153,141,126,107,88,72,98,201,196,199,199,199,200,168,170,172,176,179,180,183,184,188,167,150,140,115,102,129,140,120,116,94,82,65,162,204,197,200,200,200,201,167,169,172,174,179,182,179,184,188,157,149,129,112,114,135,134,117,108,92,69,117,202,197,199,200,200,201,201,171,174,177,179,183,188,177,193,189,161,155,130,117,130,144,122,112,90,78,77,182,202,197,198,199,199,199,199,132,138,145,151,155,156,164,197,191,168,166,131,125,141,132,109,99,81,59,135,208,201,203,204,207,207,207,205,82,84,86,86,89,79,130,193,174,167,166,134,128,138,125,98,83,71,65,107,127,129,135,134,138,145,148,158,93,94,93,91,94,79,140,191,162,152,149,128,121,135,123,85,77,66,70,87,87,88,88,96,115,129,130,143
10,83,90,100,106,109,113,116,118,121,123,124,127,127,128,129,131,135,135,136,136,137,140,141,141,141,142,144,144,83,91,101,106,110,114,116,118,123,124,125,127,128,129,130,133,119,134,137,138,140,141,141,141,143,143,144,145,85,93,103,107,110,115,117,119,123,125,126,127,130,131,135,145,98,119,142,138,141,142,143,143,145,145,146,145,87,96,105,108,112,115,118,121,123,125,127,128,131,131,140,150,103,103,143,138,142,142,143,145,145,146,147,147,89,96,105,109,113,115,119,122,124,126,128,130,132,131,139,149,113,95,142,139,143,145,145,145,147,148,148,149,88,98,107,110,113,117,120,122,124,126,128,129,133,135,135,149,124,94,138,142,143,146,146,146,148,149,149,150,89,98,108,110,114,119,121,122,125,127,127,138,119,122,139,154,137,95,128,146,143,145,145,146,148,149,149,150,91,100,108,112,116,120,122,124,126,127,128,144,117,83,137,152,141,100,112,150,144,146,146,148,149,150,150,151,93,103,108,111,116,119,122,127,131,130,138,135,115,69,119,151,137,102,103,150,145,147,147,150,150,150,151,152,93,103,110,113,115,125,122,114,111,111,128,146,124,88,97,154,125,101,95,150,146,148,148,150,152,152,152,153,93,103,109,113,113,131,111,81,70,69,71,129,140,102,74,140,109,99,88,147,147,149,150,151,153,153,153,153,95,105,110,114,117,118,101,78,62,76,74,95,143,115,73,121,92,96,83,142,149,150,151,152,153,154,154,154,96,105,109,112,117,121,121,116,108,88,74,82,141,126,82,94,77,92,77,135,153,150,152,152,154,155,155,155,96,105,110,115,118,123,122,144,155,103,57,99,150,132,90,65,73,89,80,124,155,151,153,152,153,154,154,155,98,107,110,115,120,122,121,146,149,107,52,92,163,131,100,63,71,88,80,109,158,151,153,153,154,155,155,155,98,107,111,116,117,132,142,142,156,115,44,98,174,129,105,69,70,85,79,94,158,152,154,154,155,156,156,156,100,108,111,116,114,141,157,138,149,114,48,133,161,130,99,70,62,80,75,82,157,153,154,155,155,157,157,157,101,109,112,116,117,129,155,134,141,110,109,169,141,133,100,71,65,76,67,95,160,152,154,155,156,156,157,157,100,108,112,115,119,122,134,118,126,129,160,166,139,127,105,76,68,73,62,128,158,153,155,156,157,157,157,158,101,108,111,116,120,122,133,115,128,160,172,161,141,120,102,80,69,65,72,151,153,153,155,156,157,158,158,158,103,109,112,115,120,121,143,145,123,152,173,154,137,118,101,80,70,57,97,160,152,154,155,156,157,157,158,158,104,109,112,115,121,119,152,160,123,133,172,153,137,115,102,82,69,56,124,158,152,154,155,157,158,157,158,158,104,109,113,117,122,120,157,163,139,151,166,151,138,116,102,86,67,67,149,152,153,155,156,158,157,158,159,159,103,108,112,117,122,121,164,171,146,155,164,152,139,118,103,87,60,95,160,151,154,156,157,158,158,158,158,159,104,108,112,117,122,121,162,168,152,155,157,156,148,120,102,86,58,125,157,152,154,155,156,157,159,159,159,160,105,107,112,117,122,120,157,161,145,156,153,157,153,124,101,81,68,147,153,153,155,155,157,157,158,159,160,160,105,107,113,118,122,123,147,150,147,155,155,157,151,122,100,71,94,158,151,154,155,156,158,159,159,159,159,160,105,109,114,118,122,124,138,148,155,162,152,153,147,119,96,67,125,157,151,153,155,157,158,159,159,159,159,161
21,180,181,183,187,189,190,190,191,192,195,195,193,194,193,193,195,194,194,193,193,193,192,192,191,189,189,188,187,181,183,185,187,189,191,193,194,194,194,194,195,194,195,196,197,195,195,195,194,195,194,193,192,192,190,189,189,183,185,187,188,191,192,194,194,195,193,223,196,174,199,199,199,198,198,197,196,196,196,195,194,193,193,192,191,185,187,189,191,193,194,195,196,197,196,233,217,155,189,202,199,200,200,200,200,199,198,198,199,196,194,194,192,187,189,191,193,195,196,197,199,201,196,212,237,165,165,206,200,201,202,201,201,200,200,201,189,198,196,196,193,188,190,192,195,196,199,199,200,201,200,201,239,208,166,196,203,203,204,203,204,200,212,204,144,193,200,198,197,190,191,194,196,198,201,200,201,202,203,198,232,238,175,177,209,205,205,205,206,200,227,192,137,197,202,200,200,191,193,196,199,202,202,202,204,204,206,202,222,245,184,161,207,207,206,207,203,213,232,173,154,208,201,202,201,192,194,197,199,202,203,204,205,206,206,206,210,246,202,159,199,209,207,208,205,230,223,158,179,211,203,203,202,194,195,199,200,203,204,205,205,207,208,207,224,232,217,156,185,215,210,207,213,229,199,144,198,208,205,206,204,195,197,200,202,204,206,207,206,207,204,219,255,230,215,162,141,210,212,208,230,225,169,155,214,206,207,207,204,197,199,201,204,206,207,207,209,208,225,225,227,238,212,188,158,179,215,218,233,218,150,190,215,208,208,208,206,198,200,203,206,207,207,209,211,213,251,228,206,244,230,222,218,169,170,206,213,183,150,215,211,211,209,208,206,200,202,205,206,207,209,212,209,223,226,229,216,176,178,234,225,176,131,164,177,142,177,220,211,213,211,209,208,201,204,207,207,211,212,214,209,226,229,178,159,122,114,185,234,191,140,135,146,132,205,216,213,213,213,211,210,202,205,207,209,212,213,215,211,232,219,178,179,151,134,146,239,218,161,124,126,143,219,215,215,213,213,211,211,204,206,208,211,212,214,215,212,237,240,218,187,153,159,150,225,241,180,131,112,161,225,216,217,215,215,213,213,205,207,210,212,214,215,216,214,247,243,195,169,156,176,176,235,248,200,149,109,167,226,216,217,217,216,215,214,206,208,211,212,214,216,218,218,247,229,189,177,183,190,204,255,244,206,163,119,166,228,217,219,218,217,216,216,207,210,212,213,216,217,219,219,249,240,209,198,196,200,231,255,237,203,166,119,168,229,218,220,219,219,218,217,206,210,212,213,215,216,219,218,249,245,219,198,208,215,244,255,237,195,170,123,168,231,219,222,221,220,219,218,206,210,212,213,215,217,220,217,246,251,226,203,209,225,254,253,237,196,166,123,175,230,219,221,220,219,219,218,208,210,212,214,216,219,220,217,243,254,227,217,212,234,255,245,229,192,162,120,182,231,219,221,222,220,219,217,208,211,212,215,218,219,222,220,239,255,233,234,225,238,255,243,221,191,157,118,179,234,222,223,223,223,220,220,209,211,212,217,219,220,222,221,230,255,243,242,235,232,248,227,212,187,148,114,180,235,222,225,223,222,224,218,209,212,214,218,220,222,224,224,223,249,250,244,233,222,233,210,199,184,142,111,189,235,224,226,228,231,223,158,211,214,217,221,222,224,225,226,225,244,253,240,216,201,212,203,194,188,136,111,213,233,226,229,224,184,139,113,193,198,202,204,207,209,212,218,203,213,251,228,199,180,194,206,189,179,117,127,234,226,229,222,157,118,114,107
24,205,208,209,210,211,211,212,213,213,213,213,212,212,211,211,209,207,205,204,203,203,199,197,197,192,190,190,188,206,210,211,212,213,214,214,215,216,216,216,214,213,212,211,212,210,209,207,205,204,202,199,198,195,193,191,190,208,211,214,214,216,216,217,218,218,219,219,217,216,214,213,213,212,211,210,207,204,203,202,200,197,195,194,193,211,213,215,221,217,219,220,220,220,221,221,220,219,217,217,215,214,212,210,209,206,206,206,203,201,198,197,196,210,219,209,184,222,221,222,223,222,223,224,223,222,220,221,219,216,215,213,212,211,208,206,204,204,202,198,197,210,226,195,125,182,231,223,227,226,225,226,225,225,223,222,222,219,218,215,214,214,212,209,207,206,204,201,199,215,221,187,139,123,223,226,227,228,227,226,227,226,226,224,222,222,220,218,215,215,214,212,209,207,205,204,201,216,223,214,160,106,182,238,227,230,229,232,233,227,227,227,223,222,225,225,219,218,215,214,211,208,207,207,209,218,221,227,188,120,129,235,230,231,231,212,213,235,231,229,232,229,211,206,226,220,217,216,214,212,205,178,162,220,222,227,216,163,111,185,243,231,217,169,132,203,216,166,165,209,179,130,179,229,217,216,217,205,181,139,135,221,224,226,231,194,126,117,233,233,201,189,158,130,170,143,102,135,175,127,98,212,225,219,207,191,158,121,199,222,224,226,233,214,149,113,182,243,193,208,184,136,127,151,114,139,175,131,92,202,231,208,178,176,120,144,219,223,225,228,231,232,197,153,133,220,175,196,200,155,110,147,127,150,179,130,104,219,230,163,153,156,96,183,219,224,228,231,232,235,229,167,135,170,171,160,204,165,126,116,114,143,177,121,129,243,200,137,158,131,118,217,213,227,229,231,234,236,238,196,186,170,157,137,175,177,130,96,92,107,134,100,111,232,151,138,160,107,184,225,213,227,230,233,236,237,239,234,209,171,133,113,115,176,150,125,82,72,95,84,79,129,129,150,136,116,223,218,215,229,232,235,237,238,238,242,210,150,131,122,108,151,187,169,100,53,95,107,132,139,146,154,110,160,231,216,215,229,231,237,239,239,241,243,216,187,165,126,113,143,184,155,107,90,123,160,167,163,142,133,98,205,228,221,218,229,233,237,238,239,243,241,233,210,172,127,118,137,173,155,162,155,153,168,164,157,132,89,132,233,222,223,221,231,235,238,238,241,246,243,229,222,187,153,128,114,164,206,201,195,180,172,161,147,109,93,217,228,223,224,222,231,235,239,240,242,245,246,227,222,196,167,132,120,157,213,212,205,187,169,153,136,80,179,240,224,226,223,222,231,236,239,239,244,245,248,228,208,192,177,140,135,167,206,201,191,176,158,143,103,122,239,228,229,227,224,222,234,237,239,241,244,245,248,234,200,198,185,154,141,169,191,189,185,162,140,121,86,209,237,230,230,229,225,223,235,238,239,242,245,246,246,248,219,197,184,162,132,151,177,176,171,145,125,81,165,244,230,232,229,227,226,224,234,238,239,242,246,246,245,249,239,210,185,159,127,135,158,156,146,124,85,145,246,235,234,232,230,228,226,224,233,237,240,243,247,247,247,250,243,209,180,149,136,137,150,146,128,91,109,249,239,236,236,233,230,230,227,224,234,238,241,244,246,247,248,248,241,213,184,169,161,154,154,147,115,76,193,251,237,238,235,234,232,230,227,223,232,236,240,241,243,246,249,241,235,224,205,181,158,163,158,136,96,104,240,240,239,237,235,233,231,229,226,223
15,168,160,142,138,114,110,142,43,45,75,78,81,84,88,91,104,118,131,140,144,149,156,161,165,169,172,175,178,174,160,145,143,107,124,143,34,51,76,79,81,85,89,94,107,120,133,143,146,151,159,164,168,172,175,178,181,180,158,148,148,98,137,140,27,58,78,80,82,86,89,95,110,124,136,145,149,154,161,167,171,175,178,181,184,184,160,153,153,93,149,131,24,65,79,81,83,86,90,97,113,127,138,147,151,157,164,170,174,177,181,184,186,186,160,157,156,93,158,119,25,71,80,81,84,88,90,99,114,129,142,150,153,159,167,173,177,180,184,187,189,186,160,159,155,96,162,105,28,76,80,82,85,88,90,100,117,131,145,152,155,161,170,176,181,184,187,191,193,187,162,161,150,104,165,92,39,83,86,91,97,104,103,101,118,133,146,154,157,165,174,180,184,188,191,195,197,184,165,168,146,127,144,124,115,114,114,122,124,118,110,104,106,113,124,137,147,154,157,162,181,193,195,199,201,180,170,163,131,124,127,119,114,104,108,108,104,102,104,112,112,111,112,113,119,129,124,116,115,143,189,203,206,178,168,146,117,116,112,106,103,100,104,103,103,104,111,119,120,114,110,108,115,128,127,119,106,93,105,165,205,177,170,165,112,124,113,89,93,95,102,104,103,105,115,120,118,114,108,110,122,121,121,119,111,100,92,89,121,175,172,172,103,164,153,36,71,86,86,87,90,95,105,120,126,123,112,117,120,122,119,121,111,105,105,97,86,174,177,176,99,173,143,25,72,84,83,85,87,90,95,115,144,169,142,126,123,119,118,116,116,104,117,112,95,176,178,175,101,178,130,25,77,84,83,84,88,90,96,118,172,164,144,118,116,110,97,105,119,105,128,124,107,180,178,172,109,181,115,27,80,84,83,85,88,91,97,144,175,145,127,82,82,83,66,88,131,120,136,127,111,184,180,164,117,181,98,31,84,84,83,85,88,91,109,177,155,130,110,77,50,46,38,93,153,148,139,116,108,187,181,155,129,185,83,36,86,84,84,85,88,89,157,189,145,120,94,64,43,35,33,116,162,162,143,111,100,188,183,144,142,186,68,42,88,85,84,85,88,89,167,184,155,118,87,46,37,36,45,131,166,175,152,114,97,192,188,134,156,185,55,47,89,85,84,86,88,89,131,190,176,138,96,46,33,61,68,117,165,173,147,114,98,195,193,124,170,187,46,54,89,85,83,85,88,90,106,183,195,163,109,61,38,74,100,124,162,150,127,111,90,196,197,116,182,185,37,61,89,84,82,83,87,89,104,152,208,180,133,102,87,96,142,149,139,116,102,102,87,198,198,111,190,175,31,65,87,83,80,81,84,87,104,130,200,195,180,166,159,162,154,121,102,93,89,91,86,200,197,112,196,164,27,71,85,81,80,80,83,86,104,130,190,176,149,143,153,164,145,100,85,85,82,89,94,200,193,114,200,148,26,76,84,80,77,78,82,86,104,164,183,147,135,135,146,163,143,95,81,85,112,82,75,199,186,124,203,133,26,78,82,77,75,77,81,85,102,180,163,139,129,128,133,148,139,101,85,168,201,83,66,198,178,132,204,123,44,87,86,79,77,77,79,84,102,156,152,136,129,122,115,123,127,99,88,203,211,90,70,200,169,145,202,164,129,132,132,128,125,122,122,124,127,136,144,151,169,168,119,89,152,118,116,196,199,95,76,200,159,156,202,172,113,115,118,118,117,117,121,122,122,117,119,123,128,181,158,100,124,123,121,133,131,90,79
21,114,120,124,124,127,131,134,137,138,141,142,143,144,146,147,147,147,150,148,147,147,146,146,144,143,143,143,142,115,120,124,126,129,131,135,137,140,142,143,144,146,148,148,149,150,127,143,150,148,147,147,147,146,144,144,143,116,121,125,127,130,133,136,138,141,144,145,145,147,150,149,154,164,87,110,156,146,149,149,147,145,144,145,145,116,122,126,126,130,134,137,139,141,144,145,146,148,150,149,158,162,90,110,159,150,150,150,148,148,148,147,147,117,123,126,127,131,135,138,141,142,143,146,148,149,151,149,161,156,94,112,159,151,151,151,139,109,140,150,146,119,124,127,128,133,137,139,143,143,145,147,149,150,151,150,165,156,96,113,161,152,153,150,127,80,131,154,148,119,124,128,130,133,137,140,143,145,147,149,150,152,153,152,166,156,101,114,162,153,153,148,121,86,146,151,150,118,124,128,129,132,136,141,143,146,148,150,151,152,155,152,166,154,103,109,162,153,152,144,110,97,157,151,151,119,125,129,130,134,137,142,144,147,149,150,152,154,155,152,168,155,106,101,163,154,152,142,100,119,159,152,152,120,126,129,130,136,139,144,146,148,150,152,153,155,156,152,175,162,104,104,164,153,146,135,89,139,157,153,153,120,127,131,132,136,140,143,146,148,150,152,154,154,157,156,177,153,98,114,165,148,147,116,91,155,155,154,153,121,129,132,133,137,141,143,146,149,150,152,155,157,148,157,170,134,87,113,165,149,148,95,113,164,154,156,155,121,129,132,132,137,142,144,147,149,152,153,162,144,114,121,140,105,76,114,161,155,136,84,142,163,156,156,156,122,130,133,134,137,142,144,148,151,153,154,161,143,109,97,80,78,83,123,150,148,111,92,161,160,158,158,157,122,130,132,134,139,142,145,149,151,152,158,159,153,145,128,97,65,89,115,127,126,86,116,168,159,160,160,159,123,130,132,134,140,143,146,150,153,152,165,176,164,182,154,115,73,73,89,99,103,78,143,167,160,161,161,159,125,132,134,134,140,144,147,151,152,157,159,150,163,170,143,98,79,71,77,87,86,87,161,164,161,162,161,160,125,131,133,135,140,144,148,151,152,164,151,121,158,128,134,111,88,78,70,77,74,100,168,163,162,162,161,161,124,130,133,136,140,144,148,152,152,165,169,140,114,79,126,132,100,81,76,72,69,103,171,164,164,163,162,161,125,132,133,136,141,145,148,153,153,167,158,117,99,86,104,144,114,92,80,77,68,95,172,165,165,164,163,163,126,132,133,136,141,146,149,153,153,173,156,131,135,110,132,166,123,113,91,79,72,99,171,166,166,165,164,164,126,131,132,136,141,146,150,154,154,179,160,149,129,121,185,172,128,120,97,83,75,104,172,167,166,166,166,164,126,131,134,137,142,146,150,154,155,177,176,154,121,155,189,156,123,112,100,87,78,108,173,167,168,168,167,166,126,131,133,137,141,146,150,154,155,178,181,142,131,160,181,149,129,106,100,91,78,123,175,167,168,167,166,165,125,130,132,135,139,145,149,151,152,174,162,137,142,153,180,150,140,115,89,90,77,132,173,166,168,167,165,165,125,130,131,135,140,145,149,152,152,168,149,154,149,144,180,149,130,116,92,89,81,139,174,167,168,167,166,165,125,130,131,135,141,146,150,153,156,161,155,176,147,150,171,139,117,102,92,88,83,149,173,168,168,166,167,166,125,130,132,135,140,146,150,153,155,157,161,166,139,135,157,130,106,93,89,83,83,157,171,168,168,167,167,167
21,179,183,185,187,189,191,192,193,194,195,195,195,196,194,194,194,195,192,191,191,189,189,189,188,186,186,185,183,180,183,186,189,190,192,193,194,196,197,197,198,198,197,196,194,189,194,193,193,191,191,191,190,188,187,187,186,181,184,187,190,191,192,194,196,198,198,199,198,199,198,200,206,139,166,200,193,193,192,192,191,189,188,188,187,183,185,189,191,192,193,195,197,200,200,200,199,200,198,204,206,127,159,203,195,195,194,194,193,192,189,189,189,184,187,190,193,194,195,197,199,201,201,201,201,201,198,211,197,130,168,203,196,197,194,190,196,194,192,191,191,184,188,191,192,195,197,198,200,201,202,202,203,205,199,216,193,131,175,205,196,197,183,141,173,200,193,193,192,186,189,192,194,197,198,199,199,201,203,204,205,205,203,219,190,134,186,204,198,194,171,121,165,201,194,194,193,187,191,193,196,198,199,200,201,203,205,206,206,205,205,219,184,133,191,204,199,189,166,127,189,197,194,194,193,187,191,194,197,198,200,202,204,204,205,206,205,204,209,218,180,129,190,206,198,187,152,140,202,196,197,195,195,188,193,195,198,199,201,203,204,205,206,206,207,202,216,219,172,127,197,204,191,185,136,169,206,197,198,197,196,190,194,197,199,200,202,203,205,206,206,205,204,204,225,216,160,138,210,195,187,169,129,193,203,199,199,198,197,191,194,198,200,201,203,205,207,206,212,205,163,159,211,191,140,143,211,191,190,142,145,209,201,201,201,200,199,192,194,198,200,202,205,206,207,207,210,209,170,137,136,135,116,156,208,195,178,127,184,209,202,201,201,200,199,192,196,199,201,203,205,206,207,210,216,207,205,179,151,114,112,157,184,185,150,136,207,206,203,202,202,201,200,192,197,200,202,205,206,209,208,216,225,216,233,213,170,123,117,131,143,152,124,171,213,204,204,204,203,202,202,194,197,200,202,205,207,208,213,214,186,208,215,203,156,124,116,121,127,125,127,202,209,207,207,205,204,204,204,193,197,200,203,207,208,207,222,200,160,196,161,191,170,136,118,111,120,114,155,216,208,208,209,207,204,205,204,195,199,202,205,207,210,209,225,212,179,150,113,175,191,148,122,110,114,113,184,216,209,209,208,207,207,206,205,196,201,203,206,207,208,211,225,191,155,139,115,152,204,162,132,118,114,114,197,215,211,211,208,208,208,207,206,196,200,203,207,208,208,219,228,186,175,167,140,196,214,173,156,126,119,112,197,219,213,213,211,210,209,208,207,196,201,204,206,209,207,225,224,197,187,156,183,243,210,175,165,133,123,120,201,219,213,214,213,210,209,209,208,197,202,204,206,209,210,228,232,212,174,168,237,231,193,167,162,137,126,128,208,216,214,213,214,212,211,211,208,197,202,205,207,210,210,232,242,201,175,185,243,218,192,162,150,141,125,140,217,214,215,214,213,213,212,210,208,198,202,206,208,212,209,233,227,187,192,189,240,215,194,176,138,134,122,157,222,215,216,216,214,213,212,211,210,197,201,204,206,210,210,227,208,208,200,186,240,211,185,171,141,132,122,177,223,216,216,215,215,214,213,212,210,197,200,202,205,208,210,216,217,233,196,199,231,197,172,154,139,134,126,193,221,216,215,214,213,212,211,211,208,197,201,203,206,209,212,212,223,224,187,185,213,184,159,139,134,129,135,208,220,216,215,215,213,213,212,211,209,198,201,204,206,209,213,214,218,206,186,174,196,181,155,144,134,123,145,219,218,217,216,216,214,213,213,212,210
22,132,139,142,146,153,158,162,166,169,172,174,176,178,179,179,179,179,180,179,177,177,177,175,174,173,171,170,170,133,140,144,147,154,159,164,167,171,174,173,177,180,181,181,181,180,180,181,180,179,179,177,176,174,173,172,171,135,142,146,150,155,161,166,170,173,186,164,147,181,182,183,182,184,168,160,182,181,180,179,178,178,175,174,173,137,144,148,151,157,163,168,171,174,201,166,119,179,184,185,184,190,153,115,178,183,182,182,165,160,177,176,174,138,144,148,153,159,164,169,173,176,206,174,116,178,186,186,188,186,142,110,182,184,185,183,139,115,176,178,176,139,146,150,154,160,165,171,175,176,206,183,121,175,188,188,189,179,131,128,187,185,189,178,128,120,181,180,178,140,147,150,155,162,168,173,176,177,211,195,130,168,191,188,183,170,119,148,190,190,193,162,108,152,185,181,180,141,148,152,156,163,170,174,178,179,209,194,130,158,193,188,178,159,107,164,191,200,190,143,117,180,185,182,181,142,150,153,158,164,171,176,180,181,208,193,132,145,194,189,185,161,105,177,196,194,165,122,149,188,186,184,183,144,151,154,159,166,172,177,180,183,203,208,153,137,193,186,182,145,114,196,212,189,136,111,179,189,187,186,185,145,152,155,160,168,173,178,182,185,196,210,154,122,186,170,164,118,134,213,212,179,117,138,192,189,188,187,187,146,152,156,161,169,175,180,184,187,189,205,142,96,155,156,166,158,184,208,191,152,106,176,194,191,189,188,187,147,153,157,162,169,176,181,185,192,171,168,132,113,157,170,176,193,197,193,163,112,130,194,194,193,191,189,188,148,154,158,163,169,177,182,188,201,170,153,137,141,144,154,177,188,188,178,134,103,179,196,195,194,193,190,189,150,156,158,165,172,179,183,197,208,182,182,172,160,118,97,145,166,176,149,108,134,201,198,196,195,194,192,191,150,157,160,166,174,179,184,204,217,188,171,170,164,142,113,92,120,130,109,93,157,204,199,197,196,195,193,193,151,157,160,167,174,179,184,214,213,177,127,118,153,164,147,112,84,88,89,88,178,204,201,199,198,197,195,193,151,157,160,167,176,181,187,219,214,177,125,84,117,172,165,141,109,87,76,85,188,204,203,200,200,198,195,194,152,158,161,169,175,182,187,222,228,185,175,107,138,198,181,150,130,105,69,70,181,206,203,201,200,199,197,196,153,158,162,169,176,183,189,223,229,185,168,119,178,215,189,156,135,107,66,65,180,207,203,201,200,200,199,197,153,158,161,168,176,183,187,222,230,187,164,169,212,197,184,152,125,98,63,79,194,206,203,202,202,201,200,197,152,158,161,168,176,182,186,216,226,198,170,192,220,184,169,163,121,90,59,109,205,204,202,201,201,201,200,197,153,158,161,169,177,183,187,210,224,206,173,197,215,182,165,160,126,81,56,140,209,204,203,202,201,202,200,197,153,158,161,169,177,184,188,203,220,208,175,183,202,175,157,147,112,71,60,171,209,206,205,203,202,202,200,199,153,158,162,169,177,184,189,181,211,202,171,157,174,153,134,119,86,59,88,199,208,206,205,202,201,201,200,199,151,157,160,168,176,183,179,93,150,187,142,130,141,139,119,94,73,63,145,210,208,206,205,202,201,201,200,199,131,134,136,140,143,146,122,61,66,121,129,136,142,149,129,93,72,68,138,154,152,151,151,151,151,151,150,148,111,111,111,113,112,104,71,57,56,61,108,135,139,144,128,87,56,48,98,104,102,101,100,99,98,97,88,75
20,133,137,140,145,148,148,150,152,153,155,157,157,158,158,158,159,159,159,159,159,158,158,157,157,157,156,155,153,135,139,142,146,148,150,152,154,155,157,158,159,160,160,161,160,160,162,161,161,160,159,159,159,159,157,157,155,137,140,144,147,150,151,154,155,158,159,159,161,163,164,160,180,156,144,165,164,163,162,162,162,160,159,159,157,139,142,146,150,152,154,156,158,159,161,162,164,164,165,158,195,151,125,156,141,169,164,165,164,163,162,161,159,141,144,147,151,153,156,159,159,161,162,164,165,166,168,162,194,150,146,173,110,168,166,166,165,165,165,163,162,143,146,149,153,156,157,160,162,163,164,166,166,166,169,164,201,164,149,189,112,162,170,167,167,167,166,165,164,144,147,151,154,157,159,162,164,165,167,167,167,170,170,166,207,165,151,201,124,158,173,170,170,170,168,167,166,145,149,152,155,158,160,164,165,166,168,169,170,168,169,176,205,153,166,200,125,153,177,172,172,171,169,168,167,147,151,154,157,160,162,165,167,169,170,171,171,189,182,160,206,152,175,197,116,152,179,172,173,173,171,171,170,149,153,156,159,162,164,166,169,170,171,169,179,218,197,130,134,138,173,192,116,158,179,175,174,174,173,172,171,151,154,158,160,164,166,169,171,170,175,208,200,150,170,157,122,111,143,167,118,164,181,177,176,176,174,173,172,152,155,159,162,165,169,171,173,169,192,202,195,179,156,181,189,151,102,127,111,168,181,177,177,177,176,174,173,154,157,160,163,166,170,171,174,171,195,178,120,154,103,142,198,164,105,94,98,170,182,180,178,178,178,177,176,155,158,162,164,168,171,172,176,172,198,169,114,105,83,82,171,194,137,90,90,170,184,181,181,180,180,179,177,155,158,163,166,169,171,173,177,173,200,191,163,127,103,100,132,216,169,104,83,172,187,183,182,181,181,180,178,157,159,164,167,169,172,175,178,174,209,203,149,118,110,125,134,217,194,128,80,164,190,184,184,183,182,182,180,158,160,165,169,171,174,177,179,176,210,191,144,125,128,134,169,220,198,148,89,158,191,184,185,184,184,183,181,159,162,165,169,171,174,178,180,179,211,201,160,142,143,151,205,220,188,152,93,158,193,186,187,185,185,184,183,159,163,166,169,172,175,179,182,179,211,208,174,145,158,173,220,217,181,144,97,159,196,187,188,186,186,186,184,159,162,166,170,173,176,179,183,180,209,215,183,157,162,193,220,207,176,141,95,161,196,188,189,188,187,186,186,159,163,167,170,172,176,180,183,179,207,218,185,174,165,204,219,194,172,133,90,158,197,187,188,187,186,187,185,162,166,170,171,174,177,181,185,182,201,219,193,190,176,198,213,186,165,132,83,157,197,188,189,188,187,188,184,163,165,168,171,176,178,181,185,184,192,217,201,197,188,178,197,170,159,123,79,160,199,190,191,191,188,189,192,163,166,169,172,176,178,181,185,186,185,212,211,196,178,161,175,153,158,120,81,176,197,190,192,190,195,189,154,165,168,171,175,178,180,182,186,194,194,212,210,185,154,139,158,151,154,106,95,197,193,192,191,198,177,112,80,155,161,165,169,173,178,183,181,146,122,197,200,163,138,129,162,150,142,80,141,212,197,198,203,175,101,81,75,109,110,113,113,116,118,120,127,68,5,157,206,170,137,137,176,134,115,64,81,143,147,148,151,99,73,72,62,86,91,94,95,92,91,93,106,112,61,104,189,166,138,153,176,108,90,44,18,72,92,94,101,81,59,55,57
8,76,84,88,93,98,103,105,109,111,115,117,119,120,121,123,123,124,124,124,124,125,125,124,124,124,124,123,123,80,86,91,97,102,107,110,111,117,119,121,123,124,125,125,125,126,127,127,127,127,126,125,126,125,124,124,123,85,91,95,101,108,112,114,132,108,122,127,128,129,130,130,130,129,130,132,131,130,130,129,129,127,127,126,125,87,95,98,104,112,115,121,154,83,110,137,133,134,135,135,136,135,135,136,135,134,133,133,132,131,131,130,128,90,97,101,108,114,118,129,166,79,97,144,137,140,141,141,141,141,140,139,139,141,140,136,137,136,136,135,133,94,100,104,111,119,121,133,174,78,96,150,142,144,146,147,145,144,146,148,148,134,139,145,141,141,141,140,137,98,103,108,115,122,125,134,171,85,95,154,146,149,146,145,152,164,112,111,172,131,88,139,149,146,146,145,142,101,105,112,119,125,130,138,177,98,88,156,149,159,164,109,137,175,120,78,138,144,94,94,156,150,151,149,147,104,108,116,123,130,134,142,179,118,93,151,153,183,193,167,154,133,127,138,160,108,69,70,140,157,153,152,151,105,111,118,127,134,137,142,180,144,121,142,172,182,183,187,145,131,135,143,144,114,70,35,117,166,155,156,155,109,114,122,130,137,142,143,175,150,142,163,176,152,131,193,150,125,137,117,104,127,92,37,128,168,158,158,157,112,116,125,133,139,146,146,172,169,148,166,173,157,102,139,169,95,72,66,113,144,106,61,148,168,163,162,159,115,119,128,137,143,149,149,171,187,128,155,149,140,123,109,162,103,42,29,152,163,127,69,113,176,164,165,163,117,122,130,139,145,151,152,170,195,125,110,144,106,108,105,140,127,85,34,128,186,146,87,63,167,170,167,166,119,123,133,142,147,153,156,168,193,156,87,109,111,96,114,135,141,88,127,181,170,147,98,47,136,180,169,169,119,125,136,144,150,156,159,168,199,177,116,82,127,101,137,174,144,125,181,186,150,114,92,55,137,183,172,171,121,128,138,145,152,157,162,166,200,185,141,92,99,111,144,185,173,192,191,163,138,101,73,64,167,179,174,177,125,130,140,148,153,158,164,168,199,194,162,119,91,112,135,187,188,196,186,155,121,92,53,97,197,188,185,167,124,130,141,149,155,160,165,169,197,199,174,137,109,115,127,178,194,191,171,141,108,82,47,149,167,119,83,44,125,131,142,150,157,161,167,168,192,198,182,148,133,122,123,159,191,187,160,126,97,73,50,67,35,17,20,25,126,132,143,152,158,163,168,170,185,193,188,160,147,140,112,143,172,180,152,113,91,66,35,11,18,20,16,28,127,134,145,153,159,164,169,173,177,190,189,170,153,150,108,137,153,170,141,105,81,60,24,10,12,26,9,15,127,134,146,154,159,164,170,175,172,183,186,173,158,144,109,111,146,145,128,92,73,43,23,12,0,19,22,8,125,133,145,153,158,163,168,174,174,170,185,175,159,138,111,91,131,129,112,85,67,17,6,26,1,3,23,16,126,136,146,153,159,163,168,173,178,169,191,186,163,138,112,90,108,123,99,79,53,0,0,19,18,0,11,20,127,136,147,154,159,164,169,174,178,171,188,182,154,131,114,91,97,107,92,67,38,8,0,1,23,10,0,16,127,136,147,154,161,165,169,173,179,163,191,163,136,136,122,97,89,96,93,55,18,24,0,0,14,22,2,5,124,133,141,148,155,162,167,174,171,131,202,165,147,153,131,99,84,90,90,40,0,24,0,0,3,21,13,4
8,147,147,148,152,153,153,153,152,151,150,150,148,148,148,147,145,144,144,143,141,140,139,139,137,135,133,131,131,151,150,152,154,154,153,154,154,153,152,151,151,153,148,147,147,146,145,145,142,142,142,141,138,136,134,132,132,153,153,153,155,155,154,154,154,155,154,154,146,139,151,149,149,148,149,147,145,143,142,141,140,138,135,134,134,153,154,156,157,157,158,157,155,155,154,158,142,80,141,155,151,151,150,148,145,145,145,143,142,140,138,136,134,155,156,157,158,159,158,158,158,158,154,166,127,52,135,158,153,153,150,149,148,147,147,145,145,143,141,137,135,156,158,159,160,161,160,160,160,160,157,171,98,51,152,156,154,153,151,150,150,149,148,147,146,144,141,140,138,158,160,161,162,164,163,162,163,160,166,175,89,66,164,154,156,154,154,153,151,150,150,148,147,145,143,141,140,160,162,162,161,163,164,164,164,158,175,169,79,83,167,155,160,160,152,153,152,151,150,148,148,146,144,143,141,161,162,163,163,164,164,165,164,159,180,154,62,96,170,160,133,133,164,155,152,151,150,149,149,147,145,144,141,162,163,164,165,166,165,166,167,162,186,150,95,115,166,172,137,84,123,152,161,153,151,150,150,149,146,145,143,164,165,165,166,166,167,168,168,165,189,150,127,128,161,163,168,128,84,88,103,157,158,158,153,150,148,146,144,165,166,166,167,168,169,170,168,168,182,158,137,144,180,137,175,157,146,125,49,65,107,98,150,152,148,148,146,166,167,168,168,169,171,171,166,179,177,139,149,164,167,129,115,154,141,125,71,8,19,15,67,163,148,149,147,166,169,170,170,171,171,171,170,178,152,137,141,152,151,115,53,86,165,127,83,17,4,16,20,148,154,150,148,168,170,172,171,172,173,170,182,176,129,114,116,143,136,82,34,13,177,143,91,20,21,27,25,153,153,151,150,169,171,172,172,173,174,171,198,184,148,104,71,133,117,60,30,42,174,155,94,23,10,1,90,166,152,152,150,170,172,173,174,176,171,184,206,177,145,113,80,122,150,127,152,157,143,137,91,38,0,44,161,155,154,153,151,171,174,176,174,177,172,197,198,164,149,119,103,76,166,186,154,159,123,101,92,42,23,153,164,157,157,156,154,172,175,176,177,177,178,204,187,164,152,103,85,135,183,169,129,146,127,71,87,22,94,176,159,161,159,157,153,173,176,177,178,175,184,207,184,167,146,101,132,187,177,157,127,123,121,55,56,7,138,170,161,162,159,157,155,175,176,178,177,180,188,204,188,168,143,121,167,179,167,146,115,106,100,51,19,36,174,164,164,162,160,159,158,177,178,178,182,155,188,203,186,160,138,124,158,158,146,131,101,103,71,33,0,102,179,164,164,164,162,159,157,176,175,184,163,30,78,172,167,135,120,126,132,149,132,112,95,78,40,8,10,163,169,168,165,163,162,160,158,177,178,185,66,23,14,44,131,144,131,126,125,149,124,96,70,35,19,0,96,179,166,169,165,164,163,161,160,174,192,121,17,23,22,13,22,90,125,114,122,135,95,62,40,26,0,44,178,169,170,169,165,165,163,161,161,187,163,38,21,18,14,19,0,0,17,33,79,104,59,25,20,0,26,166,175,171,171,169,167,165,164,162,162,181,71,14,21,15,9,12,16,0,0,0,0,2,10,3,0,52,167,177,171,171,171,168,167,164,163,162,161,101,13,20,17,12,4,8,14,0,0,0,0,0,0,0,30,187,173,171,171,169,170,168,165,164,162,159,158
10,146,147,147,147,148,149,149,150,149,148,148,149,148,147,146,145,143,143,141,140,140,138,137,136,135,133,132,132,151,151,152,152,152,152,152,153,152,152,151,151,151,150,148,147,146,145,147,138,134,139,138,137,136,135,134,132,156,156,156,158,158,158,158,158,157,157,156,155,155,154,152,150,149,147,163,137,108,141,140,138,137,137,136,135,160,161,160,162,162,162,162,161,161,161,160,160,159,157,155,154,153,151,170,141,96,139,142,141,140,138,137,136,165,165,166,166,166,167,166,165,165,166,165,164,163,162,159,158,157,156,172,140,94,138,147,144,143,141,139,138,170,170,170,170,171,171,169,170,170,171,170,169,167,166,164,162,161,161,173,133,91,140,151,148,146,144,143,141,174,175,174,174,175,175,174,174,175,175,174,172,171,170,168,167,166,165,179,144,97,143,156,152,150,148,146,143,178,179,179,179,179,180,179,179,179,180,179,177,175,174,172,171,169,171,185,145,122,145,159,156,153,151,149,146,181,181,182,183,183,183,183,182,183,184,182,181,180,178,176,175,173,179,183,163,141,119,162,159,156,154,152,150,184,184,185,186,186,186,186,185,186,186,185,184,184,182,180,179,173,163,166,173,135,93,159,163,160,157,155,153,187,187,188,189,188,188,188,188,189,189,188,187,186,186,184,183,181,162,142,147,138,84,124,168,164,161,158,156,190,190,190,191,191,191,191,191,192,192,191,190,189,188,182,178,187,185,157,125,110,95,80,148,168,165,161,161,193,192,193,194,195,195,194,194,195,195,195,193,191,189,166,138,131,158,169,162,121,88,75,112,172,167,165,165,195,195,196,197,197,197,197,197,197,197,195,179,159,176,180,149,98,70,146,163,110,71,66,110,174,171,168,167,198,198,199,199,200,199,199,199,199,198,195,178,146,135,187,173,124,53,60,93,103,80,64,119,178,174,171,169,200,200,200,201,202,201,201,201,201,199,192,189,174,139,157,187,143,82,45,60,140,116,71,126,181,177,174,171,201,202,202,202,202,202,202,203,202,198,173,163,178,151,118,169,150,99,56,80,148,142,81,126,183,179,176,173,203,204,204,204,204,204,205,205,203,199,176,133,142,138,81,122,153,101,65,91,140,141,80,120,184,180,178,175,205,205,206,206,207,207,207,207,205,194,170,131,110,123,85,91,156,135,86,100,135,112,71,132,185,181,179,177,207,207,207,208,208,208,208,208,205,197,191,163,117,117,110,92,149,162,109,92,119,87,72,160,187,183,181,179,208,208,208,208,209,209,209,209,207,200,203,178,138,118,113,108,156,156,102,83,105,78,88,182,187,184,183,181,209,209,209,209,210,210,210,210,210,200,204,191,158,130,125,144,193,180,130,104,99,73,117,192,189,186,184,182,211,211,211,211,212,212,213,213,213,200,195,192,170,144,137,155,196,192,161,124,97,69,146,195,190,188,185,183,211,211,212,212,212,214,215,215,215,203,188,189,177,164,150,156,189,184,150,113,88,77,175,195,192,189,187,184,210,210,211,211,212,213,214,214,215,210,187,183,184,177,155,147,176,164,134,101,72,103,193,195,193,190,188,186,210,211,211,212,212,214,215,215,215,214,194,174,179,172,153,134,152,145,117,87,63,146,197,193,192,189,187,185,211,212,213,214,214,215,216,216,216,216,209,182,175,165,149,132,136,141,113,77,89,186,196,193,191,189,187,185,212,213,214,215,215,215,216,216,217,216,211,193,176,160,149,139,131,138,107,70,137,200,197,194,192,189,187,156
14,135,138,142,145,147,148,149,151,153,153,154,155,155,156,156,156,156,156,156,155,155,154,154,154,154,152,152,151,136,140,143,146,149,150,152,153,155,155,155,157,157,158,158,159,158,159,158,158,157,156,155,155,155,154,154,153,138,141,145,147,150,152,154,155,156,157,158,159,159,160,160,161,159,160,162,161,160,159,158,157,156,156,155,154,139,142,145,148,152,154,155,157,158,158,159,161,162,162,162,163,160,161,153,158,161,162,160,159,159,158,156,156,141,144,147,150,153,155,156,158,159,160,161,163,164,163,163,163,177,167,145,148,147,145,164,162,159,161,160,159,142,146,149,152,154,155,157,159,160,160,163,165,166,165,165,180,177,168,156,146,139,126,124,158,164,161,161,160,143,147,151,154,155,156,158,161,162,163,164,165,166,166,180,181,181,161,155,169,146,121,91,108,168,163,162,162,144,149,152,154,156,159,161,162,164,165,166,167,166,173,182,175,170,118,83,143,123,150,90,60,123,172,162,164,146,149,152,155,158,160,162,163,165,166,168,168,174,186,176,124,97,90,67,64,91,172,124,73,96,170,165,165,148,151,154,157,160,161,163,164,166,168,168,177,193,191,164,126,88,59,58,57,51,141,148,97,77,162,168,166,148,153,156,159,160,162,164,166,168,169,170,191,190,162,130,112,94,68,54,57,68,138,126,105,79,140,175,166,148,153,157,160,161,165,166,167,170,165,186,196,180,153,102,75,75,65,56,75,154,178,162,144,89,121,178,166,149,153,157,161,163,164,166,170,166,178,204,187,175,150,106,76,58,55,67,171,180,166,161,126,74,137,178,169,151,154,158,161,163,165,168,168,171,202,194,183,171,132,105,82,52,49,148,186,174,166,151,125,67,107,183,169,152,155,159,163,165,166,170,167,198,205,191,183,161,137,110,69,45,58,101,144,189,155,136,116,80,71,162,176,152,157,160,163,166,170,168,181,210,202,189,175,159,128,96,62,60,71,67,79,159,129,136,115,97,70,147,181,153,158,162,164,168,171,168,202,208,197,183,172,152,109,82,61,84,93,95,92,85,119,138,120,78,102,178,175,155,159,162,166,167,167,182,210,199,191,177,162,134,104,80,78,99,103,104,109,96,116,128,99,83,171,179,176,155,159,163,166,176,172,203,205,193,182,166,157,126,106,85,91,104,107,106,104,104,108,109,80,156,184,176,177,155,159,165,167,121,167,218,199,186,175,164,145,132,106,87,96,108,105,98,97,107,82,70,150,187,178,180,178,156,160,171,135,72,89,166,194,169,154,144,135,117,86,87,90,99,101,93,93,78,70,140,189,179,181,180,180,156,163,157,86,84,77,75,119,151,143,115,91,68,69,78,78,87,91,79,78,125,173,189,182,183,182,181,181,157,166,110,83,77,76,74,71,80,84,76,64,58,61,64,64,64,64,87,157,195,189,185,185,183,183,182,182,164,136,81,83,72,72,71,76,63,31,44,46,42,41,43,38,88,140,180,193,185,186,187,185,185,184,183,183,155,97,82,74,72,70,69,67,77,44,31,41,37,34,35,28,70,198,190,187,188,188,187,186,186,186,184,184,114,80,75,73,72,69,66,65,72,53,24,36,35,33,35,23,89,196,186,189,188,189,189,187,187,187,185,185,90,77,67,68,66,60,61,61,73,51,22,32,31,30,33,23,152,201,189,191,190,190,189,188,187,187,186,186,90,78,71,61,51,87,76,54,75,40,23,31,29,29,28,40,181,194,191,191,191,190,189,189,188,187,186,186
8,188,188,189,188,189,189,189,189,190,190,189,189,188,189,188,188,188,187,188,187,187,186,184,184,184,184,167,89,189,190,191,191,191,190,190,191,191,190,185,189,190,190,191,190,189,189,189,189,188,188,186,186,186,185,180,134,191,192,193,192,192,192,192,192,194,191,153,181,194,193,194,193,192,192,191,191,190,189,187,187,187,186,181,123,192,194,194,193,194,193,193,193,198,189,132,177,196,195,194,195,194,193,193,192,192,191,190,189,189,188,179,135,194,194,195,195,194,194,195,194,204,176,120,184,197,196,195,196,196,195,195,194,193,192,192,191,191,190,185,162,195,195,196,196,196,195,196,197,210,163,119,194,198,197,197,199,197,196,196,196,194,193,193,193,192,191,188,187,195,196,198,198,198,198,197,201,212,156,130,198,200,199,200,200,199,198,197,196,195,195,195,194,193,193,191,191,197,197,199,199,199,200,199,207,205,139,146,201,199,201,201,199,201,200,199,199,197,197,195,195,195,193,192,191,199,199,199,199,200,201,199,211,197,135,152,206,186,178,198,194,187,198,201,201,199,195,196,196,196,194,194,194,200,201,201,200,201,201,201,215,194,142,161,222,185,146,174,183,148,157,178,179,188,160,164,198,197,197,197,196,201,201,201,201,202,202,203,217,196,149,193,231,201,154,148,177,152,115,134,147,177,135,128,199,199,199,197,196,202,201,202,202,203,203,206,215,195,159,215,236,213,165,127,169,151,130,161,151,188,137,122,199,199,198,198,197,202,202,202,202,203,203,210,204,193,181,206,232,220,171,117,158,142,159,174,153,196,161,129,196,201,199,199,198,202,202,202,202,204,205,208,184,195,195,184,213,220,174,113,138,139,173,162,147,192,179,144,168,204,201,200,199,202,202,202,202,203,208,205,165,186,185,175,195,221,179,111,110,140,176,149,125,186,179,138,134,203,202,201,200,201,201,202,202,202,212,206,153,156,166,155,172,213,176,105,94,136,169,134,119,186,165,118,152,204,202,201,200,201,202,202,203,203,219,217,152,135,138,133,140,195,181,114,87,139,175,129,139,172,135,113,188,202,201,200,200,202,202,202,203,207,226,224,166,124,131,127,132,174,188,136,79,134,153,129,158,138,105,144,202,201,201,200,200,202,202,203,203,210,227,226,181,121,123,125,126,161,169,123,112,169,164,168,167,118,103,186,203,202,201,201,201,202,202,203,204,213,228,226,189,123,125,133,133,178,187,169,186,188,170,158,156,109,119,203,204,204,203,201,201,202,203,203,204,214,228,227,191,128,133,135,157,203,213,211,202,186,168,138,127,100,147,207,204,205,204,202,201,202,203,204,203,213,226,224,186,142,147,138,190,219,220,217,205,185,158,125,100,107,190,207,205,204,203,203,202,148,150,152,153,192,228,223,192,162,154,143,199,224,228,216,199,175,142,110,89,140,201,201,201,199,200,203,204,99,99,99,96,156,228,223,200,170,162,150,194,228,229,203,184,159,124,100,88,115,132,135,147,172,199,209,207,103,102,102,99,138,224,220,199,171,165,154,194,228,216,189,165,139,108,95,92,101,125,157,189,204,206,207,203,104,102,103,100,137,219,210,188,167,162,157,203,218,198,172,141,119,95,101,146,173,197,206,210,213,208,197,196,102,103,105,101,152,216,201,183,169,162,166,197,199,183,152,124,110,87,149,220,216,196,189,192,198,206,202,193,102,102,104,101,169,213,197,182,172,165,172,187,184,172,138,117,107,107,180,199,217,210,189,178,184,187,183,186
20,157,158,159,158,159,161,161,162,162,162,162,162,162,162,161,160,158,156,157,156,155,154,152,151,148,147,145,143,160,162,163,162,163,164,165,165,165,165,165,165,165,165,164,169,158,128,158,160,158,157,155,153,152,150,148,146,165,166,166,167,168,168,168,168,169,169,169,169,169,169,168,175,164,107,131,150,162,160,159,157,156,153,152,150,168,170,171,171,171,171,172,173,173,174,173,172,172,172,172,176,165,97,86,108,153,164,163,161,159,157,155,153,172,173,174,174,174,176,176,177,177,178,176,176,177,177,176,181,162,90,107,112,131,169,166,165,163,161,159,157,177,177,178,178,178,180,180,180,180,180,179,180,181,181,179,185,159,89,129,128,111,170,169,168,166,164,162,160,179,181,181,182,182,183,184,183,184,183,184,184,184,184,182,192,163,97,136,137,105,170,173,171,170,168,166,163,183,184,184,185,185,185,186,186,186,186,186,187,187,186,185,198,153,93,145,155,108,167,177,174,173,172,170,166,186,186,186,187,188,188,189,189,189,189,189,189,189,189,190,203,141,94,160,156,103,163,181,178,176,174,173,171,189,189,190,190,191,192,192,193,192,192,191,193,191,180,178,198,147,108,173,155,98,159,182,181,179,178,175,173,192,193,194,194,194,194,195,196,195,194,194,195,195,187,170,164,144,105,158,159,107,159,184,183,182,180,178,176,194,195,195,196,196,196,197,198,198,197,197,197,196,198,198,170,134,110,144,160,116,154,188,186,184,182,180,178,196,197,198,198,199,200,200,200,200,200,200,200,196,167,168,170,162,128,112,134,108,148,191,188,186,183,181,179,198,199,200,200,201,201,201,201,202,202,202,202,201,168,105,153,175,124,81,91,89,136,194,190,188,185,183,181,200,201,201,202,202,202,202,202,203,203,203,204,204,169,81,126,170,141,95,76,72,123,195,193,190,187,185,184,201,202,202,203,204,204,204,204,205,204,204,204,198,170,115,105,137,154,121,103,75,106,195,195,192,190,188,187,203,204,205,206,206,206,206,206,206,206,206,199,194,174,141,101,86,130,137,116,79,87,192,197,194,193,190,189,206,206,207,207,208,208,207,208,208,208,203,196,177,172,164,131,94,104,129,129,93,78,181,199,196,194,193,191,207,208,209,209,209,209,209,209,210,209,199,185,144,126,152,145,99,87,115,151,122,78,148,202,198,195,194,192,209,209,209,210,211,210,211,211,212,210,199,188,151,94,97,133,88,71,105,157,150,96,98,194,200,198,196,194,210,211,212,212,213,212,212,213,213,212,199,183,158,118,80,103,90,79,138,180,166,110,79,184,202,200,198,195,212,213,214,214,214,214,214,215,214,214,198,191,180,129,90,103,120,123,185,186,156,97,87,192,202,200,199,196,213,214,215,215,215,215,215,216,216,216,198,192,185,139,107,111,172,197,200,167,138,80,113,203,202,201,200,198,213,214,215,215,215,215,216,216,217,218,198,185,177,148,113,112,184,202,184,148,119,75,146,207,203,201,201,199,213,214,214,215,215,215,215,216,217,218,200,177,169,149,118,112,176,187,166,131,99,75,175,206,202,202,201,199,214,214,215,216,216,216,216,217,218,218,208,179,169,151,129,118,172,183,154,114,79,94,199,205,202,201,201,194,214,214,216,216,217,217,217,218,219,219,217,187,169,155,135,114,156,166,132,92,65,147,209,206,202,189,158,116,215,215,216,217,218,219,218,218,220,220,217,193,174,155,134,113,129,135,99,69,79,194,204,173,143,103,64,51
15,114,110,109,109,110,112,113,114,116,125,136,147,155,163,169,173,174,178,181,186,191,194,198,200,202,204,207,208,114,110,109,109,109,111,114,114,116,126,136,148,155,164,170,174,174,178,182,187,192,194,199,201,202,205,208,210,113,110,109,109,109,112,116,114,117,127,138,148,156,164,170,174,175,178,183,188,192,196,200,202,205,208,209,211,113,111,109,109,111,111,110,112,117,128,140,148,157,165,170,174,176,179,183,188,192,198,202,204,206,209,210,212,113,111,110,110,108,114,141,124,120,127,140,149,157,165,173,176,177,178,183,189,194,198,202,205,207,208,210,213,114,111,111,111,99,186,190,155,150,146,142,143,157,165,166,167,174,181,188,192,195,197,201,205,207,209,211,215,114,112,111,110,102,181,168,145,145,145,132,144,148,150,146,141,145,151,164,181,195,202,207,207,207,209,212,215,115,112,111,111,106,122,134,117,123,117,112,141,133,134,129,141,152,144,142,146,158,167,180,197,214,210,213,215,115,111,110,109,111,110,110,110,114,109,111,119,114,113,113,144,149,145,147,150,153,146,131,129,163,220,213,216,114,113,110,108,110,113,113,113,119,130,141,140,141,138,128,135,133,131,124,143,165,157,142,138,108,162,225,214,115,113,110,109,110,111,111,112,118,131,142,155,162,169,174,162,132,118,141,167,169,166,139,148,142,99,183,228,115,112,108,109,110,110,111,111,118,131,144,151,160,179,180,162,146,151,206,165,175,151,157,167,149,128,108,204,114,110,109,109,110,110,112,112,119,132,141,156,202,189,154,138,134,131,196,146,136,159,194,154,173,157,112,115,113,110,108,107,108,109,109,110,118,133,133,186,220,152,131,135,138,110,138,118,108,215,168,149,185,168,134,98,112,110,107,107,107,107,109,109,116,133,133,180,196,133,134,153,159,151,129,105,125,195,124,139,187,177,143,110,112,110,107,106,106,107,107,108,119,133,134,170,178,115,145,161,168,161,132,121,130,134,130,152,171,163,139,111,110,109,106,106,105,107,108,108,119,132,134,175,219,139,136,163,174,159,123,117,128,130,144,152,142,124,117,107,109,109,106,105,105,107,108,107,117,132,134,177,194,210,170,139,135,125,112,120,126,129,135,145,138,107,101,102,110,109,106,105,104,105,107,107,115,133,131,216,197,186,202,157,119,85,88,115,130,133,142,154,139,107,102,102,110,107,104,105,104,106,107,107,116,130,138,173,189,202,191,178,156,104,57,67,91,141,141,144,124,105,104,105,101,98,97,96,96,97,98,100,110,123,136,145,155,176,169,171,150,139,87,68,80,136,154,133,116,112,115,115,147,142,139,136,133,128,127,129,134,141,147,155,162,165,150,140,155,182,131,74,96,108,151,161,147,136,127,121,151,147,146,145,144,144,147,148,143,142,139,137,142,146,147,145,146,207,149,98,114,99,114,136,136,127,118,111,136,135,135,133,133,134,136,134,134,135,130,126,130,133,135,137,128,152,134,136,141,134,131,120,111,110,108,103,141,141,142,140,140,141,142,142,140,142,142,140,142,143,143,144,145,141,143,143,146,146,154,155,130,112,106,102,142,143,145,144,142,142,142,143,142,143,143,143,143,143,141,143,144,144,144,145,142,141,155,166,151,132,114,121,143,144,145,144,144,142,144,145,144,145,144,145,145,144,143,143,144,144,145,144,143,142,138,153,192,141,144,152,142,143,143,142,143,142,143,143,143,144,143,143,145,143,143,145,146,145,144,144,143,143,142,141,228,215,190,181
4,199,201,201,202,203,201,201,201,202,200,199,200,200,198,195,197,199,198,194,193,193,191,192,190,189,188,186,185,202,203,203,205,205,205,204,204,204,201,199,202,200,204,206,195,181,183,197,195,194,194,193,192,191,190,188,188,204,205,206,207,207,208,207,204,203,208,217,215,193,170,208,237,201,147,136,208,200,198,192,193,193,191,190,189,208,208,209,209,209,210,206,209,213,174,208,228,197,134,106,199,197,139,86,142,174,180,201,196,194,191,193,191,209,209,210,211,211,205,224,239,201,145,105,199,176,121,77,147,167,111,87,71,124,117,136,202,194,193,193,193,210,211,209,212,212,210,253,246,186,145,83,178,167,119,69,122,151,113,80,81,119,97,76,193,200,196,194,194,212,212,211,214,211,223,247,240,199,211,110,135,202,176,67,98,181,154,87,99,129,95,75,188,202,198,196,195,213,213,213,215,213,222,253,216,225,242,136,104,233,183,70,80,200,162,83,105,177,133,92,192,204,199,197,197,213,215,215,216,216,216,254,230,215,183,113,88,169,141,84,79,129,138,52,101,216,149,114,204,203,201,199,198,216,216,216,218,215,222,255,255,227,188,148,124,92,88,93,115,170,179,99,91,163,121,148,213,203,201,200,199,218,217,219,222,213,241,255,243,209,191,168,155,136,151,159,179,220,171,126,99,95,70,184,212,206,203,202,201,219,220,219,223,214,254,255,217,181,154,165,235,197,205,224,188,199,157,147,113,97,88,196,210,207,206,205,203,220,222,222,224,218,255,255,220,191,160,158,227,199,202,213,201,182,177,173,128,83,78,192,213,204,206,205,203,221,225,225,223,226,255,255,227,195,166,139,158,169,164,182,161,154,208,198,147,97,71,186,217,207,208,206,205,224,226,226,221,236,255,253,228,192,149,135,123,103,108,156,116,136,220,212,157,113,74,174,221,209,209,208,207,227,228,228,222,246,255,254,229,179,147,149,141,118,145,223,216,171,218,227,156,125,75,163,223,209,209,208,207,228,228,230,223,251,255,255,225,176,155,163,143,124,227,254,235,219,193,214,165,135,87,142,227,210,211,210,208,229,229,232,225,255,255,245,198,175,175,164,129,191,255,255,237,209,199,172,154,132,93,154,226,212,213,210,209,231,231,232,227,255,255,232,195,207,175,145,147,254,255,255,232,198,180,159,128,118,86,195,220,214,213,211,210,233,233,231,238,255,255,228,214,212,169,130,203,255,255,240,217,191,164,148,121,95,101,221,215,216,214,212,211,233,232,244,183,252,255,227,216,218,159,171,236,255,241,222,205,185,156,131,112,69,163,229,217,217,215,214,213,233,242,220,86,124,244,237,221,209,147,185,234,251,225,212,198,169,139,119,90,96,223,220,218,220,217,215,214,239,235,116,91,81,106,198,217,181,141,163,227,230,208,193,179,153,125,105,70,184,232,221,223,222,219,218,216,250,150,82,93,94,79,90,139,142,122,148,192,206,188,173,157,134,112,71,127,236,222,224,223,223,222,219,217,179,95,101,85,79,88,81,74,79,108,137,159,179,163,150,128,112,78,86,225,230,225,225,224,223,222,219,217,97,96,96,81,79,79,78,86,63,68,101,123,143,124,108,99,81,70,199,237,227,229,229,226,224,223,221,219,100,94,82,81,76,77,75,78,77,31,48,62,78,79,64,58,66,190,242,227,231,230,230,227,225,224,222,221,94,86,80,79,73,73,70,71,84,48,24,42,41,42,44,22,124,253,229,233,232,231,231,229,227,224,223,222
6,200,200,200,199,200,200,199,199,199,199,198,198,196,195,194,192,191,190,189,188,186,185,183,181,181,179,176,174,201,202,201,201,202,202,201,201,202,201,201,200,199,197,196,195,194,192,191,190,188,187,186,184,183,181,179,177,202,203,203,203,203,204,203,203,203,204,202,201,201,200,198,197,196,195,194,192,190,189,189,187,185,182,180,178,204,204,205,205,205,205,206,207,206,206,205,204,202,201,201,200,198,198,196,194,193,192,191,189,186,184,182,181,206,206,207,207,207,206,207,208,208,207,207,206,205,204,203,201,200,197,192,188,186,183,177,174,177,176,180,184,207,207,208,208,208,208,209,209,210,209,206,201,200,195,188,181,172,160,146,149,154,153,143,149,185,175,163,185,208,208,209,208,208,209,210,208,196,176,166,159,160,159,155,148,145,139,127,141,139,133,135,137,162,151,153,186,209,210,210,210,209,210,204,187,166,147,142,147,150,155,154,148,135,124,115,113,109,113,116,114,127,150,179,188,212,211,212,212,209,195,180,174,163,139,120,124,127,127,122,116,102,97,110,131,148,164,173,182,190,193,192,190,212,213,214,208,185,171,172,168,156,134,101,84,71,97,148,161,170,176,190,202,203,202,201,199,197,196,194,193,214,214,208,182,168,170,172,170,166,155,122,78,55,85,146,179,201,210,207,206,204,202,201,200,198,197,195,194,215,208,186,172,174,178,178,177,178,159,108,68,61,61,64,71,98,185,210,207,207,204,203,202,200,198,197,195,196,179,177,181,181,182,179,171,171,132,77,58,58,62,65,63,55,120,209,209,208,207,204,203,201,200,198,196,173,175,183,183,181,179,167,162,164,132,97,65,45,54,61,64,60,69,186,212,209,207,205,203,202,200,198,196,175,179,184,185,182,170,162,166,167,165,143,92,53,50,50,50,69,125,200,210,208,208,206,204,202,201,199,198,178,180,186,184,176,163,161,163,162,164,137,83,57,56,57,52,145,212,211,210,209,208,207,206,204,202,200,199,178,183,184,175,165,160,158,154,151,145,114,67,51,54,57,52,152,218,212,211,209,207,208,206,205,203,201,200,178,176,167,164,164,159,156,146,137,136,123,82,45,47,50,106,198,212,210,210,209,207,207,204,203,201,199,198,167,158,156,159,154,146,138,132,135,148,147,101,59,57,52,154,218,214,210,209,208,208,207,204,203,201,199,192,157,156,154,147,135,130,129,134,141,149,136,87,59,55,55,165,217,214,211,210,209,208,208,204,189,168,137,108,155,152,142,134,130,129,127,123,119,113,87,63,68,82,144,210,216,216,214,208,203,201,198,155,97,70,60,55,140,128,118,124,126,123,109,91,79,73,74,128,179,200,215,217,204,177,160,121,107,106,96,68,58,56,44,47,103,84,79,97,105,99,83,71,75,110,157,203,208,208,209,199,131,87,72,45,47,48,43,46,42,48,41,31,64,53,67,86,90,87,82,85,99,116,123,122,122,125,121,101,73,62,57,44,32,43,35,38,34,37,36,24,53,69,108,110,110,111,110,109,110,109,108,105,90,79,67,57,52,49,41,47,24,36,31,30,32,33,27,24,52,94,122,118,118,122,119,114,118,117,116,100,67,49,53,48,42,42,39,42,26,26,29,26,29,31,22,27,57,103,114,113,115,116,113,111,112,107,89,62,51,36,42,45,37,36,34,35,29,18,25,25,28,30,19,27,65,108,112,113,116,115,112,112,105,85,69,40,42,36,33,42,32,32,28,29,30,16,22,25,27,28,20,27
19,129,129,129,131,132,133,134,135,134,135,135,134,134,133,133,133,132,131,130,129,129,128,128,128,126,125,126,125,128,130,131,133,134,134,135,136,135,136,136,135,135,135,135,134,133,133,132,131,131,129,129,129,128,128,128,127,129,131,133,133,134,136,136,136,137,137,137,136,136,136,135,136,135,133,133,133,132,132,131,130,129,129,128,128,130,132,133,135,136,136,138,138,139,140,139,138,137,136,136,137,136,134,135,134,134,134,133,131,130,130,129,128,131,133,133,135,136,137,139,140,141,141,140,141,141,138,138,138,137,136,135,135,135,135,134,132,131,130,130,129,132,134,135,136,137,140,140,141,141,141,141,141,142,142,140,139,138,136,136,136,135,134,134,133,131,132,131,130,133,135,135,138,139,141,142,143,142,142,143,142,141,140,141,143,141,139,138,137,137,136,134,134,133,133,132,131,134,136,138,140,141,142,143,143,143,143,142,143,142,141,136,129,137,140,139,140,140,137,136,135,133,131,133,131,135,136,139,141,142,143,144,145,144,144,143,143,142,146,130,95,102,142,130,131,134,132,128,133,131,81,127,134,137,138,140,141,143,144,144,144,144,141,137,141,140,146,140,134,143,146,134,134,145,138,131,116,84,72,132,135,138,139,141,142,143,145,144,147,149,126,118,125,132,135,127,118,110,117,108,117,131,112,88,80,95,129,138,136,137,140,141,142,143,145,143,144,127,120,130,132,124,125,120,113,81,71,71,76,108,107,121,133,142,139,136,137,140,141,143,143,146,140,149,162,147,147,148,141,132,119,87,66,72,54,50,117,148,145,144,141,139,138,137,137,142,142,143,144,149,139,171,182,159,143,135,130,125,110,78,51,64,55,58,136,145,142,141,140,140,139,140,139,140,142,144,145,149,140,169,172,142,117,92,84,86,94,82,59,65,57,62,140,144,144,143,143,141,140,140,140,141,142,145,146,148,140,154,161,132,86,76,45,41,109,89,64,67,58,74,146,145,145,144,144,143,142,141,140,142,143,145,146,150,138,148,162,129,91,56,31,85,107,83,67,68,56,93,153,146,146,146,145,145,143,142,141,142,143,146,147,151,136,145,165,134,104,78,48,52,52,50,56,57,63,74,150,148,147,146,146,145,144,142,141,144,145,147,148,152,137,143,165,139,110,83,71,44,23,21,30,46,57,55,138,151,147,147,146,145,144,142,141,144,146,148,148,154,136,136,163,136,111,86,73,72,52,42,48,57,63,57,127,154,148,148,146,145,145,144,144,144,146,148,149,152,139,133,160,134,109,87,75,74,62,53,57,63,69,62,131,154,148,148,147,146,146,146,145,144,146,148,151,154,142,131,158,134,106,87,76,74,63,54,59,66,69,70,142,153,149,149,148,147,147,148,146,145,147,149,151,155,146,135,152,128,103,85,74,73,68,61,63,71,71,88,154,152,151,150,149,148,148,147,146,147,149,149,150,154,147,144,155,128,101,87,76,72,71,70,72,79,69,119,157,151,152,151,150,150,149,147,148,148,149,150,153,156,143,147,159,133,108,91,79,72,76,76,78,74,95,152,153,153,153,153,150,150,149,148,148,146,148,149,152,157,138,148,154,134,118,96,78,73,79,79,76,111,151,155,154,153,152,152,150,150,150,149,147,146,148,148,149,151,140,152,146,124,111,94,77,76,78,70,97,155,155,153,153,152,151,151,150,150,149,148,147,145,148,149,150,149,150,160,149,130,110,97,82,73,73,65,112,154,154,153,153,152,151,150,150,150,148,147,147
24,156,159,161,164,167,170,170,171,173,174,175,176,176,177,177,177,177,177,176,176,175,175,176,174,174,172,171,170,159,162,164,168,170,173,174,174,176,177,177,178,179,180,178,179,181,181,179,179,178,178,178,176,177,175,173,172,160,163,167,169,172,175,176,177,178,180,181,181,182,181,180,182,183,183,184,183,180,179,180,180,178,177,174,174,162,165,167,170,173,175,177,180,181,183,184,184,185,184,184,185,186,184,185,184,183,183,183,183,181,180,179,178,163,166,168,173,173,176,181,182,184,186,185,186,185,186,187,188,188,188,189,187,186,187,186,185,185,184,183,180,166,168,172,176,178,184,180,184,186,186,187,187,189,189,190,191,190,192,192,190,186,189,188,187,187,186,184,182,168,171,177,174,200,213,145,185,188,190,189,191,193,193,191,192,193,190,192,193,190,191,191,190,188,187,187,185,171,174,179,178,197,226,142,166,196,192,191,190,195,192,192,195,195,226,213,170,192,194,193,193,191,191,190,187,172,176,180,185,182,224,181,143,196,196,191,204,189,198,237,192,167,249,231,151,145,202,193,193,194,194,193,191,173,177,182,186,183,203,236,172,167,197,207,248,198,199,252,215,146,215,242,167,105,191,198,195,196,194,193,193,175,180,184,186,190,187,236,211,145,180,227,255,232,187,240,234,159,192,241,171,94,176,206,199,198,199,198,175,178,182,186,189,193,189,207,231,205,182,211,255,242,186,214,237,160,161,220,153,84,169,208,201,198,208,188,130,180,184,187,192,193,196,193,228,239,220,216,249,248,199,174,233,174,122,183,135,75,142,219,201,184,193,156,111,182,187,190,193,195,199,198,204,235,224,243,248,239,191,139,205,185,98,131,145,75,84,188,175,186,179,112,152,184,187,191,194,196,199,202,198,228,246,231,216,218,182,132,155,170,106,127,163,90,133,156,189,190,119,135,208,186,190,193,195,199,200,203,200,219,249,208,179,178,204,182,121,186,135,105,171,192,223,204,183,145,117,199,206,187,192,195,198,199,202,205,205,213,246,217,191,184,199,191,160,184,148,153,244,241,216,188,148,107,159,216,204,189,194,196,199,201,205,208,209,209,251,249,216,184,188,216,230,207,209,246,243,224,207,176,129,119,201,211,209,190,193,198,201,202,206,209,211,206,240,255,232,199,186,222,243,254,255,250,238,221,194,162,111,157,221,210,210,191,196,200,202,206,207,210,212,206,231,255,243,223,203,206,244,254,254,246,238,220,182,133,112,203,217,214,210,193,198,200,201,206,209,212,214,212,224,255,251,236,223,213,237,253,255,243,236,210,174,114,153,224,215,215,212,194,198,200,204,208,211,213,216,217,216,248,255,243,228,213,224,243,245,234,215,190,159,120,209,221,217,217,215,195,200,203,207,209,211,213,216,218,215,229,255,242,220,200,213,224,220,205,181,150,106,168,230,220,219,219,219,195,201,204,208,211,213,214,219,222,225,229,255,236,199,179,184,193,199,180,149,100,115,225,220,221,221,220,220,196,200,203,208,209,211,214,166,146,151,162,207,187,182,188,194,211,197,170,132,76,188,244,220,221,220,220,219,196,201,205,208,209,212,219,134,103,106,82,76,75,83,80,85,81,70,70,66,54,114,170,224,222,220,219,218,196,202,207,209,211,213,227,152,107,111,87,71,61,46,35,25,15,14,11,10,16,0,77,234,220,223,223,220,199,202,206,209,212,214,227,165,108,106,85,68,61,51,41,31,23,20,18,15,15,6,179,237,221,224,224,222
22,141,150,155,159,168,175,180,185,188,193,195,196,200,202,201,202,202,202,200,199,199,198,196,195,193,191,190,190,143,152,157,161,170,176,182,186,191,193,195,203,203,203,204,205,202,205,208,203,202,202,199,197,195,194,193,192,145,155,160,164,172,178,186,190,192,215,179,154,210,204,207,205,210,186,177,209,203,203,201,203,203,196,195,193,147,158,162,166,173,181,187,192,191,239,185,109,210,207,209,206,222,168,104,207,206,204,208,183,179,203,198,195,149,158,162,168,176,183,189,195,193,244,198,109,207,210,210,212,217,152,102,215,207,209,213,145,105,205,200,198,151,160,165,170,178,184,191,197,193,241,212,115,202,215,212,215,208,133,129,223,205,215,208,133,117,213,200,200,151,161,164,171,180,188,194,199,194,246,233,127,188,221,212,206,199,114,161,223,213,223,184,97,169,216,203,202,152,163,167,173,181,190,195,201,196,244,229,127,174,226,212,199,179,97,185,219,229,223,153,110,214,208,205,204,154,165,169,174,182,192,197,203,199,242,226,127,154,230,212,212,185,93,203,225,222,188,120,161,221,208,208,207,156,167,170,177,186,193,199,204,203,234,249,164,141,228,209,213,160,107,231,247,219,143,101,211,214,212,210,209,158,168,171,177,187,194,199,205,208,222,249,169,121,224,187,188,106,132,255,245,209,111,145,229,212,213,212,211,159,168,171,179,189,197,203,208,210,213,248,153,79,173,167,187,171,212,243,219,172,91,206,223,217,215,213,211,161,169,174,180,189,198,204,207,222,187,190,140,106,180,195,195,227,227,220,186,103,132,232,217,219,217,214,213,162,170,174,181,189,199,205,212,234,186,160,144,156,158,174,205,211,212,207,142,90,212,225,220,220,219,216,213,164,173,175,183,193,203,203,226,242,202,213,195,183,115,81,166,190,204,169,100,142,242,222,223,222,221,218,216,165,174,177,185,195,203,205,233,255,212,194,199,184,157,115,75,128,143,111,82,174,241,225,224,223,222,219,219,165,174,177,186,196,203,204,248,248,199,126,117,175,188,165,117,70,81,89,75,208,237,229,227,226,225,221,219,165,173,177,187,198,204,208,255,248,199,125,66,116,197,184,156,114,82,69,74,223,235,232,229,228,226,222,221,166,175,179,188,197,205,208,255,255,205,215,101,143,238,202,164,141,112,59,51,211,239,231,230,228,227,224,222,168,175,179,189,197,207,210,255,255,204,193,108,202,255,214,171,148,114,55,42,209,242,230,230,228,228,228,225,169,175,179,188,198,207,208,255,255,206,177,188,252,222,211,165,132,101,48,64,232,236,231,230,231,230,228,224,167,175,178,187,198,207,205,250,255,227,185,218,255,201,186,188,124,92,37,109,249,230,231,230,229,230,228,224,167,175,178,189,199,208,208,242,255,239,187,226,255,202,182,181,139,78,31,154,251,230,232,230,230,230,228,224,169,175,179,189,199,209,210,234,254,242,191,205,240,197,175,165,119,64,35,199,245,234,235,231,231,231,229,226,167,175,179,188,198,207,215,209,253,233,193,171,202,166,142,127,83,41,72,240,235,234,233,229,228,227,227,225,169,177,181,192,202,213,220,69,167,232,146,132,151,150,122,90,67,41,169,255,243,244,242,239,237,237,236,233,140,145,147,151,154,164,132,41,44,133,139,147,154,169,142,92,66,57,159,169,165,164,166,166,165,166,165,165,112,112,111,113,113,104,54,47,47,38,114,150,149,159,139,83,42,28,97,98,96,95,93,93,91,91,79,58
12,173,176,176,177,178,179,181,181,181,182,182,183,183,184,183,184,184,184,184,184,182,183,183,183,181,182,182,180,175,176,178,180,180,181,183,183,182,184,183,184,185,184,185,186,185,185,186,186,184,183,183,185,184,183,184,183,175,176,179,182,182,184,186,186,185,186,186,187,187,186,187,188,187,188,189,187,185,186,186,185,185,185,185,184,177,179,180,182,183,184,187,188,185,186,188,188,188,187,188,190,190,191,189,188,188,189,188,188,187,188,186,186,180,182,183,184,184,185,188,189,187,187,188,191,188,200,190,184,193,189,192,194,190,191,190,190,190,190,188,188,183,184,185,186,187,188,189,191,188,200,205,183,200,221,203,142,159,205,193,174,193,190,192,192,192,191,191,189,184,185,187,188,189,191,192,187,208,247,226,164,184,232,210,121,92,208,195,123,151,198,191,194,193,193,194,192,184,185,189,190,191,190,193,183,219,252,231,163,167,240,208,133,79,204,184,121,86,196,197,195,194,194,195,194,185,188,191,192,192,194,193,188,227,248,231,162,162,243,202,151,116,209,162,102,63,176,205,197,197,195,195,195,187,190,191,192,194,190,211,225,189,206,231,198,135,237,215,150,141,210,174,96,53,163,208,197,199,198,198,197,187,191,192,193,193,195,249,227,159,144,197,182,104,219,212,107,148,220,154,84,49,155,212,199,201,199,199,197,190,193,195,197,190,223,252,232,190,114,161,120,57,120,126,70,157,169,90,55,47,152,214,200,203,201,200,200,192,195,196,198,193,238,248,240,200,137,118,113,42,34,57,161,192,161,102,105,84,156,216,202,204,203,201,200,194,196,200,197,200,243,216,237,206,168,96,70,83,58,160,247,238,208,165,163,118,159,217,203,205,203,203,202,195,199,199,196,209,252,229,206,208,172,114,68,70,143,252,244,232,207,168,150,105,135,219,206,207,204,204,204,198,200,201,195,228,252,237,178,201,172,130,78,63,232,252,243,231,208,175,134,89,136,222,207,209,205,205,206,199,201,204,196,236,252,243,213,178,170,186,115,112,252,247,244,230,204,159,128,83,140,223,207,211,208,207,208,200,202,206,199,224,252,246,218,174,145,174,163,205,252,245,244,229,196,156,124,87,114,220,209,212,211,209,210,201,202,206,200,228,252,248,226,207,187,163,219,245,252,241,242,229,190,162,116,84,103,223,212,211,211,210,210,203,203,207,202,231,252,250,240,226,219,197,220,234,252,234,233,221,193,155,112,69,133,227,212,213,212,213,212,202,205,209,203,227,252,250,247,236,222,205,212,222,248,230,217,209,194,139,103,65,188,220,214,216,214,215,213,203,206,209,207,217,252,251,250,238,215,202,212,213,238,222,204,203,180,126,76,103,226,213,215,216,216,216,213,203,205,209,210,208,244,250,245,232,206,192,206,208,223,211,199,190,154,102,57,180,226,216,218,218,216,217,216,205,209,213,217,213,243,252,238,225,206,200,211,219,240,223,201,174,128,63,106,229,218,219,218,219,218,218,217,204,196,190,182,164,178,172,139,134,131,129,137,130,139,123,110,104,84,50,201,243,221,222,221,221,220,221,218,130,124,113,102,78,64,60,52,42,32,23,19,2,0,1,0,0,3,9,74,159,222,223,220,220,220,220,220,102,103,105,95,79,69,65,55,46,37,31,20,8,6,5,2,0,0,0,0,0,196,227,218,219,219,218,218,122,101,105,92,79,68,61,52,45,32,25,17,7,3,4,1,0,0,0,0,61,230,217,221,219,219,218,218
12,163,168,173,176,179,182,184,187,187,188,188,188,189,188,188,187,188,189,188,186,185,184,182,182,181,180,178,175,165,169,174,178,181,183,186,189,190,190,190,191,191,190,190,194,192,189,189,187,188,188,186,185,185,182,180,179,166,170,175,179,182,185,188,190,191,193,192,190,192,197,190,171,184,196,191,196,191,190,190,189,188,186,183,182,167,171,175,180,184,187,189,190,192,193,200,183,146,175,211,166,120,173,186,159,189,194,192,191,189,188,186,185,169,173,176,181,186,188,190,192,195,191,225,224,185,132,163,226,165,99,136,137,120,195,194,193,191,190,189,188,172,176,179,183,187,191,194,196,193,209,224,223,216,156,82,181,190,102,63,145,98,136,205,193,194,192,190,189,174,178,182,187,190,192,196,198,190,235,192,191,219,143,74,150,173,102,53,107,109,72,198,196,194,194,192,191,175,179,184,188,192,198,196,195,201,166,126,200,196,123,63,161,158,90,62,112,95,73,200,197,196,195,194,193,178,181,187,189,195,196,199,228,215,129,74,135,175,143,54,144,191,111,64,139,98,91,209,197,199,198,196,193,181,184,189,193,194,204,234,230,216,151,79,73,182,147,38,149,212,107,77,191,102,130,212,197,199,198,197,196,182,187,193,195,200,236,200,184,225,165,81,26,137,128,10,80,197,89,64,172,110,183,207,201,200,199,197,196,186,190,197,196,222,234,194,157,203,152,82,26,42,53,30,75,106,110,119,133,73,174,213,201,202,202,199,197,188,193,197,202,223,196,162,111,171,152,85,32,36,40,139,213,166,161,138,119,91,108,217,202,204,203,201,198,191,196,200,199,227,200,167,99,134,154,81,38,47,105,184,202,191,160,119,87,106,78,194,210,205,204,202,199,195,198,204,198,229,207,174,124,106,148,116,50,78,168,200,193,186,161,116,88,81,75,202,210,205,205,204,201,197,202,205,209,236,212,185,152,97,121,141,60,159,210,206,196,192,140,107,89,45,120,224,208,207,204,202,201,200,206,205,220,241,220,194,158,124,101,103,128,210,210,214,210,173,118,102,77,49,197,216,209,212,214,217,209,203,207,208,225,236,226,205,165,150,132,115,174,195,205,217,199,145,110,101,48,104,234,222,223,202,172,127,79,205,209,211,220,228,231,211,176,167,150,127,174,175,213,214,175,130,104,88,48,195,206,154,104,55,32,25,17,208,212,216,212,230,233,214,186,182,162,133,184,179,209,201,150,117,94,69,70,108,45,22,12,15,16,20,31,211,214,221,213,223,224,209,191,183,164,144,174,201,182,169,128,102,84,58,21,10,9,17,13,18,10,8,25,215,218,223,219,215,224,210,195,178,163,152,159,187,166,138,115,91,76,28,0,10,21,6,5,15,19,0,10,215,219,224,219,208,229,211,193,176,162,143,145,172,154,124,103,83,57,28,0,0,23,14,0,4,20,12,0,217,220,226,220,214,228,201,180,168,159,136,146,163,143,102,90,69,29,36,6,0,4,23,3,0,9,18,3,221,225,230,220,215,226,183,161,166,153,135,150,150,125,88,72,25,0,24,26,0,0,12,17,0,0,12,12,222,226,231,221,212,237,185,172,181,167,149,152,137,107,84,50,18,0,4,28,0,0,0,14,9,0,0,14,225,227,237,203,197,240,195,197,203,169,146,145,126,99,76,23,17,0,0,13,14,0,0,2,17,0,0,9,226,226,248,158,153,244,212,221,207,156,147,148,121,95,64,22,6,3,0,0,19,0,0,0,14,10,0,0
21,15,58,72,78,86,98,113,122,130,135,139,142,144,147,149,157,157,158,160,160,163,165,166,166,166,168,168,167,21,61,72,79,87,100,115,124,131,136,139,142,145,154,152,126,157,160,162,163,165,166,167,168,168,170,170,169,27,65,73,81,88,103,117,126,132,137,141,146,142,173,160,80,148,166,163,165,166,168,170,171,171,171,171,172,33,68,75,82,89,105,119,127,133,139,143,147,144,175,161,89,142,169,166,167,167,169,171,171,172,172,173,173,41,70,75,83,92,107,120,127,134,139,144,148,145,176,159,91,135,171,165,169,170,172,174,174,174,177,176,176,46,71,76,84,93,110,121,131,136,140,146,150,146,176,165,101,131,175,166,170,172,174,176,174,130,141,184,177,54,73,77,86,95,113,123,132,138,142,147,151,148,174,167,109,120,177,170,172,174,174,179,158,100,124,187,177,60,73,79,87,97,113,124,133,139,146,149,151,150,173,165,114,107,176,171,174,175,181,175,136,97,169,183,180,63,74,81,88,98,115,125,133,140,146,150,151,151,179,177,116,102,176,171,174,177,184,163,111,127,189,180,182,67,74,82,89,100,119,127,135,141,146,150,154,153,185,183,127,109,177,173,176,178,167,139,101,175,186,183,183,70,76,82,90,103,119,127,136,142,147,150,153,150,174,166,121,105,174,173,179,180,160,104,131,193,183,185,184,71,76,83,91,104,120,129,136,142,148,152,184,148,136,137,102,100,174,175,180,179,144,98,176,187,184,185,185,72,77,85,93,106,121,129,137,145,146,158,192,143,103,96,83,104,159,167,172,166,101,135,193,184,187,187,187,73,78,86,92,107,123,131,138,145,148,183,150,124,99,70,79,106,145,156,153,122,95,184,186,186,187,187,187,73,78,86,92,109,124,132,141,140,182,195,169,140,122,77,69,93,122,136,123,84,144,195,185,188,188,188,188,74,79,87,95,112,123,131,139,145,191,183,202,181,143,90,67,89,102,119,100,96,191,188,188,188,189,188,189,74,80,88,96,112,123,133,135,163,167,165,195,182,118,85,75,80,93,102,81,143,196,187,189,190,190,190,190,74,81,89,97,116,125,136,136,180,177,144,115,146,117,92,79,76,82,85,79,174,192,190,190,190,190,190,190,76,82,89,98,115,125,135,139,182,147,113,98,138,135,100,80,77,75,79,81,179,191,191,192,192,193,192,192,77,83,88,98,116,126,134,148,192,154,148,132,132,158,110,92,83,77,73,82,182,193,191,192,193,194,194,193,76,84,90,99,117,127,133,156,192,167,153,123,190,190,124,114,88,73,72,91,189,192,192,192,193,193,193,194,76,84,91,102,118,127,132,160,203,178,140,154,218,176,130,118,90,74,70,102,195,191,193,193,193,193,194,194,77,85,91,103,118,127,132,161,203,159,140,171,195,152,118,109,95,78,66,128,201,190,193,194,194,194,195,195,79,85,89,103,119,129,134,157,185,152,151,165,185,149,128,100,94,79,68,157,196,190,193,194,195,195,196,196,78,84,89,104,120,129,135,152,169,169,165,161,188,145,139,108,80,77,74,175,195,191,194,194,195,196,196,196,78,84,91,106,119,128,137,145,173,191,150,165,182,134,122,102,78,71,86,186,193,193,195,195,195,196,196,196,77,83,89,105,117,126,138,140,171,184,149,145,162,118,101,85,77,62,105,192,188,193,195,195,195,196,196,196,76,82,87,104,116,126,136,142,159,166,147,145,145,117,101,90,79,59,120,195,186,191,192,192,193,195,195,195
14,170,174,177,181,184,187,188,190,193,194,194,196,198,198,199,199,199,198,198,198,197,197,197,196,196,195,194,194,170,175,178,182,186,188,189,191,193,193,195,197,198,199,200,200,199,199,200,199,199,198,198,197,197,196,195,195,171,175,180,184,188,188,190,193,195,195,197,198,199,200,200,202,202,200,200,199,200,199,198,198,198,198,197,196,172,177,182,185,187,189,191,194,196,197,199,200,200,202,201,204,203,202,202,200,200,200,200,199,199,199,198,197,173,178,183,186,187,191,193,195,197,198,200,202,201,202,207,201,203,203,201,204,204,200,201,201,201,200,199,198,173,178,182,186,190,192,193,197,198,199,201,204,198,229,245,227,229,220,196,184,194,206,200,201,202,201,199,199,173,180,185,187,191,192,194,198,199,200,202,200,209,247,243,243,231,217,206,192,181,181,203,205,200,201,201,200,175,182,185,189,191,194,197,198,201,201,204,198,237,251,224,204,185,163,166,181,174,124,137,200,204,201,202,201,175,182,186,190,192,195,197,199,202,205,204,208,255,243,188,132,122,122,124,140,139,131,122,134,205,204,203,202,177,182,186,190,194,197,199,201,202,206,199,230,255,226,160,106,114,123,109,115,135,159,144,104,154,211,204,204,178,183,187,191,194,198,199,201,204,205,201,255,244,186,119,95,120,125,112,119,124,126,132,149,128,170,209,203,180,185,189,192,196,198,200,201,205,201,224,255,203,139,98,98,97,104,122,120,127,128,140,157,152,161,167,207,181,186,190,193,197,199,201,204,205,206,255,250,188,141,119,115,108,99,124,128,172,158,151,141,189,168,154,211,181,187,191,195,198,200,202,207,201,229,255,237,182,142,129,120,119,122,111,174,220,214,207,191,204,142,160,215,183,188,193,196,200,201,203,208,200,245,255,229,175,139,129,117,118,123,139,216,213,212,212,195,199,141,158,216,183,187,193,197,200,203,206,208,202,253,255,226,167,130,119,111,120,116,176,220,212,216,208,190,192,144,144,214,184,188,193,197,200,202,206,207,204,255,255,226,176,132,113,112,110,97,189,227,212,218,193,182,183,153,142,207,184,190,194,198,201,203,205,205,210,255,255,224,177,133,113,103,102,99,118,190,224,213,179,185,172,149,167,213,185,188,194,198,201,204,208,204,224,255,253,220,178,136,107,98,110,122,117,121,154,163,185,196,172,149,205,213,185,190,194,198,201,205,210,202,240,255,250,216,179,138,107,97,110,119,124,137,135,151,190,183,151,180,218,211,184,190,195,198,203,206,210,204,254,255,244,210,182,142,110,103,112,119,135,156,159,156,179,159,162,217,213,212,182,188,195,198,201,205,208,206,255,255,234,208,195,144,116,118,128,138,155,163,156,151,156,144,201,218,213,213,183,190,196,199,203,206,206,210,255,254,225,220,199,137,130,122,139,153,166,158,150,145,136,172,219,214,214,214,185,191,196,200,204,206,206,214,255,245,228,231,196,152,141,122,143,161,165,153,144,137,180,219,217,217,217,215,184,191,197,200,203,207,206,216,255,247,237,236,204,167,144,126,138,158,159,149,136,154,224,218,217,218,217,215,184,191,197,201,204,208,206,223,255,255,247,240,207,168,146,132,134,152,150,144,134,196,223,218,219,218,216,213,185,190,195,200,203,207,204,227,255,255,252,232,195,162,145,136,136,144,143,134,175,222,219,219,219,217,216,213,183,187,193,197,201,205,201,232,255,253,247,211,177,154,144,140,141,142,139,173,222,219,219,219,217,216,214,213
11,86,93,100,108,113,118,123,128,132,134,136,137,139,144,143,143,143,143,143,143,143,142,139,145,98,68,120,172,90,95,102,110,115,121,125,129,133,135,138,137,160,125,142,142,143,143,141,142,142,140,137,144,107,88,122,176,94,100,108,115,119,124,128,133,137,139,141,137,186,99,119,150,143,144,144,143,142,140,139,135,123,174,165,170,99,105,114,121,127,132,137,141,143,145,147,143,204,109,90,157,145,146,146,144,144,142,141,133,157,137,167,172,105,110,120,127,133,139,144,148,151,153,154,152,207,103,78,162,152,152,151,150,149,148,146,145,149,110,180,171,109,116,128,135,140,145,151,155,159,161,162,162,206,93,86,170,158,161,159,158,156,154,152,147,151,173,165,171,113,121,134,144,149,152,158,163,167,169,169,176,215,88,96,179,166,167,166,165,163,160,157,154,155,136,119,174,116,126,140,149,155,161,166,170,174,177,172,202,219,60,118,187,173,173,172,171,170,167,165,161,159,148,148,171,120,132,148,155,161,167,174,179,180,184,177,211,195,60,141,193,180,181,180,178,177,174,171,168,166,160,166,179,124,136,152,161,167,172,178,184,187,185,205,209,95,49,154,197,186,186,185,185,183,180,177,175,171,166,170,193,128,140,157,166,173,179,184,188,189,192,191,196,103,49,165,200,192,192,192,192,189,186,183,180,177,171,171,194,133,145,161,170,176,183,189,196,221,217,86,84,131,67,173,204,197,198,197,196,195,191,189,187,181,179,182,193,137,150,165,174,181,185,193,177,205,199,101,53,122,84,151,213,200,201,202,200,198,195,193,189,189,172,156,198,139,153,168,179,182,191,225,155,68,115,148,72,93,85,123,220,203,206,206,204,204,201,200,195,208,99,62,204,142,157,173,177,196,226,210,178,122,63,127,95,61,93,85,215,209,211,211,206,198,183,163,160,155,52,28,70,145,161,173,195,228,178,121,157,176,88,67,82,50,113,77,194,223,212,202,192,199,173,143,141,113,54,37,24,146,164,174,224,209,129,79,68,161,98,46,72,37,134,129,134,203,201,209,206,194,160,125,97,72,42,32,32,150,165,178,220,182,108,72,28,121,108,50,88,28,86,142,69,151,208,211,177,126,85,38,14,27,22,26,30,151,167,176,207,159,93,63,37,81,120,61,107,57,95,130,114,169,186,149,88,50,23,10,14,15,14,16,28,153,170,178,207,183,118,81,57,56,93,86,119,95,180,147,109,136,113,57,11,22,30,10,8,10,12,23,0,153,169,179,214,190,127,97,68,65,81,136,180,187,182,127,93,90,17,10,15,4,25,25,1,0,9,9,0,153,169,179,215,196,149,113,75,83,96,187,225,207,155,103,77,29,9,0,22,5,3,25,16,0,0,0,0,152,170,179,209,197,162,117,86,97,106,195,206,168,125,91,35,0,21,2,0,19,3,6,18,8,0,0,0,158,175,190,202,190,172,125,106,105,110,173,192,147,101,77,31,0,0,22,0,7,16,0,1,13,0,0,0,119,129,135,152,191,177,134,124,107,109,152,175,138,95,47,20,0,0,18,14,0,8,10,0,1,5,0,0,86,86,80,101,190,172,143,133,107,93,137,141,109,64,0,6,12,0,0,18,6,1,5,0,0,4,0,0,94,95,91,110,196,177,150,131,107,85,109,99,68,16,0,0,23,0,0,16,10,4,0,0,0,0,0,0,92,94,94,99,191,179,141,121,102,88,95,84,13,0,0,0,22,0,0,1,15,1,0,0,0,0,0,0
6,220,222,224,227,227,226,226,227,228,229,230,230,230,230,230,230,230,229,228,225,225,223,223,222,219,218,217,216,223,224,225,227,228,229,229,229,228,230,232,231,231,231,231,231,230,230,229,228,226,227,225,223,222,221,220,220,224,224,227,228,229,230,231,231,231,231,232,231,229,232,234,234,232,232,232,231,230,229,226,226,225,222,222,222,226,227,230,230,231,233,233,232,231,231,232,232,232,234,233,233,232,232,231,231,230,230,228,228,226,225,224,222,229,230,231,231,233,233,233,234,234,233,234,234,234,236,236,236,236,236,235,234,232,231,229,229,228,226,224,222,230,231,232,233,235,234,235,236,237,237,237,237,236,236,237,237,237,238,236,236,233,233,232,231,230,230,228,227,231,232,235,236,237,238,238,238,237,236,239,240,238,238,239,239,239,239,238,237,235,234,232,230,230,229,227,228,232,235,236,235,237,239,240,240,239,239,241,241,240,240,240,240,240,240,240,241,236,235,236,234,232,231,230,230,234,236,237,238,237,240,240,240,240,240,242,242,240,240,241,240,240,238,239,238,237,235,235,234,231,231,228,229,237,237,239,239,239,240,240,243,244,248,249,243,232,212,224,236,237,233,234,234,234,226,228,226,223,230,214,255,236,238,240,242,244,246,246,247,241,240,241,238,229,202,172,212,231,235,235,234,218,222,220,219,220,222,209,221,242,246,245,243,239,240,239,236,230,230,234,234,241,227,155,145,162,176,178,180,183,177,176,180,181,182,184,189,255,255,245,232,230,231,230,226,218,220,218,211,207,186,154,141,123,124,173,188,201,207,215,224,231,231,232,239,255,252,244,230,224,218,210,210,213,210,203,200,203,177,141,141,150,144,191,254,254,249,248,247,244,242,243,236,253,247,241,228,216,208,207,207,208,208,209,218,235,212,145,120,135,158,139,164,238,247,244,246,244,247,227,160,247,241,233,226,213,202,195,194,201,209,218,219,216,200,161,143,137,139,152,138,163,251,248,247,243,250,161,130,241,234,231,231,218,206,197,193,196,200,209,226,206,170,162,164,159,147,136,140,144,241,247,243,251,230,139,138,238,229,229,227,219,212,205,199,200,196,195,211,220,179,133,140,171,172,155,125,174,255,248,255,225,146,128,109,228,225,223,221,219,217,209,202,203,203,204,221,214,173,145,129,140,164,173,144,170,246,206,192,148,115,112,94,159,174,196,217,224,225,219,210,206,202,202,216,214,177,154,161,153,138,146,155,147,154,132,122,112,104,91,86,68,74,99,158,227,225,220,215,210,205,198,191,195,179,178,180,169,157,147,125,118,119,131,125,112,101,85,79,65,56,50,55,139,218,198,186,181,177,176,161,157,142,143,170,174,174,156,118,82,97,114,106,102,99,94,81,56,50,51,52,44,109,196,199,206,213,222,235,155,106,111,131,164,155,139,124,87,75,99,98,92,94,100,86,49,44,41,41,36,178,246,244,249,252,253,255,229,179,172,161,157,103,127,122,83,67,74,92,87,85,95,93,45,38,36,23,66,163,150,154,154,156,160,162,169,173,172,170,141,83,119,120,78,60,65,78,80,82,90,93,39,35,33,27,58,137,131,131,132,131,134,136,131,127,151,157,124,72,113,110,73,56,68,70,74,76,83,87,41,38,41,21,62,153,143,143,144,144,139,141,144,152,136,123,111,73,102,100,70,52,60,69,68,70,76,82,48,46,38,12,91,153,142,143,145,146,142,142,142,129,112,96,96,80,91,95,67,55,55,63,63,67,71,77
22,160,168,173,176,185,191,196,200,203,207,209,210,214,216,215,216,216,216,214,213,214,213,211,210,208,206,205,204,162,170,174,178,187,192,198,201,206,208,209,217,216,217,218,219,216,219,222,217,216,216,213,212,209,209,208,206,164,173,177,181,188,194,201,205,206,228,195,172,224,218,220,219,223,201,193,222,217,217,215,217,217,211,209,208,165,175,179,182,189,197,202,207,205,250,200,131,223,220,222,220,235,185,126,221,220,218,221,198,194,217,212,210,167,175,179,184,192,198,204,209,207,254,212,130,221,224,224,225,230,170,123,228,221,222,226,163,127,219,214,212,168,177,181,187,194,199,206,211,208,252,225,136,216,228,225,228,222,152,149,235,219,228,221,152,137,226,215,214,169,178,181,187,196,203,208,213,209,255,244,147,203,233,225,220,213,135,178,235,226,235,200,119,186,228,217,216,170,180,183,189,197,205,209,215,211,255,240,146,190,238,225,213,195,119,201,231,241,236,171,131,227,221,219,218,172,182,185,191,198,206,212,217,213,253,238,147,171,242,225,225,200,116,217,237,234,203,141,178,233,222,221,220,174,183,187,192,201,208,213,218,216,246,255,181,160,240,222,226,177,128,243,255,232,161,123,224,227,225,223,222,176,184,187,193,202,209,213,219,222,235,255,185,141,237,202,203,127,152,255,255,222,132,163,241,225,226,225,224,176,185,188,195,204,212,217,221,224,226,255,171,102,189,184,202,187,225,254,232,188,114,219,236,229,228,226,225,178,185,190,196,204,212,218,221,235,202,205,159,128,196,210,210,239,239,232,202,124,151,244,230,231,229,227,226,179,186,190,197,204,213,219,225,246,201,177,162,173,176,190,219,225,225,221,160,112,226,237,233,232,232,229,226,181,189,191,198,208,217,217,238,253,216,226,210,198,135,104,183,205,217,186,121,160,253,234,236,235,234,231,229,181,190,193,200,209,217,219,245,255,225,208,213,199,175,136,98,148,162,132,105,190,252,237,236,236,235,232,231,182,190,193,201,210,217,218,255,255,213,146,137,191,203,182,137,94,105,112,99,221,248,241,239,238,237,234,232,182,189,193,202,212,218,222,255,255,214,145,90,136,212,199,173,134,105,93,98,236,246,243,240,240,238,234,233,183,191,195,203,211,219,222,255,255,218,228,123,162,250,216,181,160,133,84,76,225,250,243,241,240,239,237,235,184,191,195,204,212,221,223,255,255,218,208,129,216,255,227,188,167,135,81,68,223,253,242,242,240,240,240,237,185,191,194,203,212,221,221,255,255,220,193,203,255,235,224,182,151,122,74,88,244,248,243,242,242,242,240,237,184,191,194,202,212,220,219,255,255,239,200,231,255,215,201,203,144,114,64,130,255,242,243,242,241,242,240,236,184,191,193,204,213,222,222,252,255,250,202,238,255,216,197,197,158,102,58,171,255,242,244,242,241,242,240,237,185,191,194,204,213,223,223,245,255,253,206,219,251,211,191,182,139,89,62,213,255,246,246,243,242,242,240,238,184,191,194,203,212,220,227,223,255,245,207,187,216,183,161,147,106,67,96,251,246,246,245,241,240,239,239,237,186,193,196,206,216,226,232,93,184,243,164,152,169,168,142,113,91,68,186,255,254,255,253,250,248,248,247,245,159,163,165,169,171,180,152,68,70,152,158,166,172,185,161,114,91,82,176,186,182,181,182,183,182,183,182,182,133,133,132,134,134,125,80,73,73,65,135,168,167,176,158,106,68,55,119,120,118,117,116,115,114,113,102,83
11,125,131,136,139,143,146,149,152,153,156,158,159,161,163,165,167,167,169,171,172,172,173,174,174,174,173,173,173,126,132,138,141,145,147,150,151,155,157,159,162,163,165,167,168,169,171,171,173,174,175,175,175,174,175,175,175,127,133,139,143,146,148,151,153,156,158,160,164,166,167,168,168,172,174,173,175,176,176,176,176,176,175,176,176,128,134,139,143,147,150,152,154,157,158,162,164,166,168,169,169,155,169,175,176,176,176,177,178,178,177,178,177,129,134,139,143,147,150,152,155,159,161,164,166,167,169,170,175,132,133,179,177,177,177,179,179,179,178,178,178,129,134,140,145,148,150,153,156,159,163,166,167,168,170,170,183,133,121,180,177,179,179,179,179,179,178,178,179,130,135,140,145,150,151,154,156,159,163,166,168,169,171,171,186,116,131,182,179,179,180,181,181,180,180,179,179,131,136,141,146,150,151,154,157,160,164,166,168,169,170,179,184,110,147,182,181,181,182,181,182,181,181,181,180,131,137,143,146,150,153,155,159,160,163,166,168,169,171,190,160,105,162,182,181,182,182,182,182,181,182,181,181,132,138,143,147,150,153,156,159,161,164,166,168,169,169,186,124,105,177,181,180,181,182,182,182,182,182,182,181,132,137,142,148,152,153,157,160,163,165,165,174,182,133,124,108,123,184,180,181,182,182,183,183,182,182,182,181,133,137,143,147,151,155,161,159,150,179,161,131,158,128,95,95,154,183,181,182,183,183,183,183,183,183,183,182,132,138,144,146,159,188,188,166,108,146,153,104,132,121,88,91,176,182,181,183,183,184,184,184,184,183,183,183,133,138,143,152,181,161,174,166,106,136,137,99,151,116,77,109,186,182,182,183,183,184,185,185,185,184,183,182,134,139,141,165,159,139,153,160,103,132,120,106,148,102,69,129,187,182,182,183,183,185,185,185,185,185,184,182,134,140,145,180,151,118,128,146,94,120,103,115,130,90,68,142,186,181,182,182,185,186,186,186,185,185,185,183,135,137,160,185,152,122,126,111,89,114,86,120,117,77,62,144,187,183,183,182,177,173,175,186,188,186,185,185,135,137,182,179,150,126,111,101,102,105,69,139,100,65,72,118,177,177,172,167,159,150,134,137,174,188,185,185,135,140,194,173,148,130,109,92,122,95,55,105,93,100,122,124,149,166,171,165,151,134,125,118,112,181,187,186,135,143,189,173,156,139,116,107,117,122,134,143,153,154,146,150,161,153,138,128,124,141,159,149,132,179,187,186,134,142,183,175,162,146,123,124,147,168,162,159,158,154,139,132,130,113,133,163,181,189,189,189,188,187,187,186,134,142,193,178,162,146,125,131,160,166,153,159,152,138,111,102,120,162,188,188,187,186,187,188,188,188,188,187,134,151,199,165,151,133,124,132,152,153,152,147,130,102,94,141,181,187,186,186,186,187,188,188,188,188,188,188,130,163,179,144,138,131,131,135,135,140,140,117,90,104,161,184,183,184,185,185,186,187,188,188,187,187,188,187,128,171,173,146,139,146,137,137,124,123,111,87,126,174,180,178,181,182,182,182,183,185,186,186,186,185,186,187,130,183,179,145,139,161,142,130,112,101,87,137,176,176,176,177,179,181,181,182,183,183,184,185,187,199,204,205,135,189,182,141,141,163,140,120,99,80,120,173,172,175,176,177,179,179,181,182,182,183,185,184,205,213,213,203,135,189,182,136,142,160,137,118,89,78,157,169,170,173,174,176,178,179,180,182,182,184,184,183,175,153,188,200
15,117,125,134,142,147,148,152,158,165,169,173,176,180,182,185,187,190,193,195,196,198,200,200,201,201,202,203,203,117,127,135,143,147,149,153,161,166,170,174,177,181,185,187,189,192,194,196,198,200,201,202,202,203,205,205,204,119,129,137,144,148,150,155,162,166,171,175,180,182,186,188,191,194,196,198,199,201,202,203,205,206,206,207,207,122,130,138,146,150,152,157,164,168,173,177,180,183,187,190,192,195,197,200,201,202,204,205,207,207,207,208,209,122,131,140,147,150,153,159,164,171,175,178,182,186,189,192,194,196,198,201,201,204,206,208,209,209,209,210,210,122,132,142,147,150,153,160,166,173,177,181,185,188,190,194,197,198,199,202,204,206,207,209,210,211,211,211,212,124,134,140,169,181,165,164,167,174,178,183,186,190,192,195,199,200,202,204,207,208,209,210,211,211,212,213,214,126,135,139,216,209,183,179,173,178,183,184,183,187,193,198,200,201,205,206,208,209,212,212,213,214,214,215,215,127,136,143,185,195,179,177,169,186,189,186,180,169,174,186,192,198,205,208,210,212,214,215,215,217,216,217,217,128,137,147,155,163,159,154,152,172,177,179,179,172,181,177,180,185,194,200,192,197,208,217,215,217,219,219,219,130,138,149,157,159,159,163,165,170,170,165,164,171,181,177,170,168,180,198,191,179,169,185,220,220,218,220,221,131,140,151,157,159,162,170,176,181,184,180,175,174,171,165,157,155,177,191,201,183,165,154,172,220,222,220,222,131,142,152,159,161,164,172,178,182,187,191,194,198,195,186,173,180,193,189,193,187,174,176,160,162,216,225,224,133,143,153,160,163,165,173,179,183,188,192,195,199,203,206,230,222,201,163,169,204,172,187,183,154,152,219,227,133,143,154,161,164,167,174,180,185,190,192,203,204,179,180,210,216,185,136,139,209,169,189,189,178,142,151,222,135,144,155,163,165,167,175,181,186,191,192,221,199,165,168,217,228,187,150,153,185,181,192,185,173,152,127,144,137,147,156,164,165,168,176,181,187,192,195,212,180,162,173,224,229,183,155,159,158,167,180,168,155,153,139,125,139,149,157,164,165,169,176,183,188,194,198,201,198,168,179,217,208,172,158,168,167,166,174,159,136,144,145,140,138,149,158,165,166,170,176,185,189,194,199,199,244,235,165,141,143,143,163,178,177,180,182,164,144,146,145,142,138,149,160,166,168,171,179,185,190,195,201,200,237,250,189,109,68,54,69,103,161,178,177,163,159,154,139,130,140,150,160,167,169,173,179,185,191,196,201,201,231,247,189,117,88,71,47,35,92,159,159,150,136,117,100,85,141,151,161,167,169,174,180,186,192,196,201,203,225,249,172,121,133,126,98,70,56,99,108,95,78,69,63,55,141,152,161,166,168,174,180,186,192,197,203,205,218,251,180,143,170,157,148,139,94,75,71,69,65,63,62,57,140,152,160,165,167,173,178,185,191,196,201,205,212,253,201,138,185,165,155,122,84,75,73,71,67,65,63,61,140,151,160,165,167,173,179,187,192,197,201,204,206,242,218,130,215,216,165,101,74,71,72,72,69,66,64,62,140,152,161,165,168,174,181,188,193,199,202,207,206,237,203,126,219,231,176,92,71,70,71,72,69,67,68,68,141,152,162,166,169,174,182,189,195,200,203,208,211,221,163,182,226,231,191,95,81,77,73,69,68,68,69,67,141,153,163,168,171,175,182,188,195,200,203,208,212,214,209,222,224,228,227,126,91,82,76,69,69,69,68,65
5,185,188,190,193,195,197,200,201,201,202,202,204,204,203,204,204,204,204,204,205,205,203,203,203,204,204,205,204,187,190,192,194,198,199,201,203,204,204,205,205,205,205,206,207,206,207,206,207,206,206,206,206,206,206,206,206,188,190,193,196,200,201,203,204,205,206,206,207,207,208,202,200,210,208,208,208,208,209,210,209,208,208,207,207,190,192,195,198,201,203,205,206,207,207,208,210,206,217,192,151,213,210,210,210,211,211,211,212,210,209,209,208,191,195,197,199,202,205,205,209,210,209,210,208,218,221,171,167,214,211,212,212,212,214,214,213,213,212,210,210,193,195,199,201,205,206,210,189,202,213,211,214,237,173,154,213,214,212,212,211,213,211,211,216,215,214,213,212,195,197,200,203,206,204,223,159,172,219,207,238,218,138,200,219,213,212,220,221,218,170,171,224,215,216,216,214,195,198,201,203,205,212,220,139,190,218,215,229,169,162,223,213,214,230,229,196,179,155,194,221,216,218,218,216,195,199,203,205,205,227,187,145,218,215,213,186,141,201,220,211,225,225,173,146,192,211,221,218,218,219,219,218,196,199,204,206,205,232,174,163,222,214,195,159,147,223,207,210,203,154,156,209,225,221,219,221,219,219,219,219,198,201,204,207,206,233,176,166,224,209,190,167,153,223,196,206,147,146,219,223,219,220,220,222,221,221,220,220,198,200,203,207,209,229,180,160,224,208,193,159,164,201,189,191,133,194,227,220,222,220,222,221,221,222,221,220,199,202,205,208,209,219,214,164,200,212,195,138,160,169,185,168,152,218,223,223,223,222,219,224,224,223,223,222,199,203,207,210,211,211,226,199,161,201,176,161,136,147,171,153,181,229,221,217,223,229,208,173,225,224,223,222,199,201,205,207,212,206,217,229,181,164,158,150,140,143,143,153,201,223,216,224,233,212,218,173,195,232,223,223,199,202,205,207,211,211,212,238,215,170,139,131,133,134,136,162,183,210,224,209,184,162,190,205,169,205,227,223,200,203,206,207,210,213,212,233,224,176,134,130,130,129,135,161,172,179,191,151,155,205,208,202,159,182,228,221,200,204,207,208,210,213,212,226,230,176,131,126,127,125,133,147,155,140,151,181,220,213,212,171,166,228,224,224,201,204,207,208,211,213,212,223,233,182,132,123,127,127,130,139,135,147,212,229,217,210,186,142,220,228,224,225,204,207,209,212,213,214,214,220,234,189,138,122,125,129,126,131,114,175,237,221,210,200,142,163,233,222,225,225,184,190,197,200,203,207,207,214,233,196,145,122,124,125,129,145,152,159,203,213,213,174,137,214,235,228,229,229,130,131,134,136,138,145,136,190,241,203,155,124,126,125,128,148,171,181,161,202,213,159,150,201,200,204,206,208,135,134,133,133,132,135,122,189,239,208,165,128,123,130,139,159,176,186,173,192,192,141,131,132,134,135,137,137,134,135,135,141,141,141,130,195,236,212,171,133,125,129,159,179,191,183,157,157,156,139,144,141,145,143,138,137,133,133,134,136,137,141,130,186,233,215,177,143,135,126,167,185,186,167,141,129,134,145,149,144,143,139,161,195,134,134,135,136,135,138,129,185,227,211,179,154,142,123,161,182,176,149,130,132,140,143,142,133,157,200,226,218,134,135,135,136,135,137,129,201,230,207,184,160,141,124,143,163,154,136,129,140,145,141,137,186,236,230,214,201,133,133,134,135,135,136,132,214,229,204,179,149,132,122,131,140,135,130,138,142,145,142,203,245,225,212,204,186
2,164,164,165,165,166,167,166,165,166,165,166,165,165,165,165,165,164,165,164,163,162,160,160,161,152,73,45,58,167,168,169,168,168,168,167,168,168,169,169,169,168,169,168,166,160,165,165,164,163,163,164,164,144,62,55,62,172,173,173,171,171,172,172,173,173,173,174,173,171,174,175,146,103,133,148,137,165,167,167,167,156,81,64,58,175,175,175,174,174,175,175,176,176,175,175,177,181,173,139,101,77,81,100,82,123,160,168,168,166,106,66,63,178,178,178,177,177,178,178,179,178,179,191,193,158,112,85,71,64,65,73,63,68,134,171,171,171,123,64,54,181,181,181,180,181,181,181,182,180,191,198,173,107,67,64,60,56,51,59,61,64,132,173,173,173,145,68,39,183,184,184,183,184,184,185,185,182,205,178,114,75,53,54,58,53,50,57,66,98,167,175,174,174,166,76,38,186,186,187,187,187,186,187,186,193,208,143,79,62,56,48,53,62,75,115,150,173,179,179,177,176,173,108,92,188,188,189,190,189,189,189,186,206,195,124,80,63,69,58,63,81,143,181,182,183,183,181,179,179,177,145,128,188,191,192,192,192,192,191,195,210,172,107,67,60,64,64,87,159,185,185,186,186,185,183,182,182,181,119,154,192,193,193,193,193,194,191,207,205,157,105,70,63,57,72,121,192,191,189,188,187,187,187,186,184,182,129,173,194,195,196,196,195,195,196,218,198,148,104,84,73,62,70,147,194,194,193,190,190,189,188,187,186,184,167,159,195,196,197,198,197,196,206,226,186,136,97,82,78,76,74,180,196,195,194,194,193,192,191,190,187,188,185,163,197,197,198,200,199,196,217,221,175,124,87,77,73,79,92,195,197,197,195,195,194,194,193,192,190,191,187,181,198,199,199,199,198,196,227,210,168,121,88,74,71,79,103,198,199,197,195,195,195,194,194,194,193,193,190,184,200,200,200,201,197,212,225,197,156,113,87,76,76,77,118,202,201,199,198,197,197,196,196,195,194,194,194,191,201,202,202,203,198,226,219,185,145,105,85,73,70,69,108,199,201,201,201,201,199,198,194,185,177,171,177,191,203,203,204,200,202,228,212,176,136,99,81,69,67,75,79,142,203,202,202,200,187,175,165,160,155,142,124,149,204,205,206,196,216,225,204,165,126,97,77,59,69,79,82,86,172,196,186,167,161,160,167,157,141,125,116,134,206,207,204,202,226,221,194,151,117,94,71,57,76,82,89,96,103,125,140,158,168,157,138,117,124,167,187,193,208,208,199,216,227,213,184,144,112,90,65,66,90,97,107,109,111,120,139,156,148,124,103,129,190,199,201,200,209,206,204,227,224,206,172,137,108,89,66,79,101,111,116,114,114,117,127,121,115,133,166,196,202,202,200,199,207,202,224,226,216,197,164,129,99,86,71,91,107,117,118,113,104,99,101,129,179,202,205,206,205,203,203,201,198,213,226,221,211,192,156,119,93,86,79,103,113,117,110,99,93,101,156,202,207,209,208,207,207,205,205,205,207,217,219,212,196,169,134,105,92,84,87,105,109,110,97,93,138,188,208,210,210,211,210,209,208,207,207,207,214,216,209,191,170,143,117,96,90,84,92,99,102,99,93,153,208,213,212,211,211,212,212,212,210,209,208,207,211,209,193,170,150,131,108,93,89,90,90,92,95,106,167,211,214,214,214,213,214,213,213,213,211,210,208,207,208,199,180,147,134,112,93,92,93,92,90,88,137,197,214,216,216,216,216,216,215,214,214,213,212,211,210,209
24,156,158,162,162,163,164,166,165,166,166,166,166,165,165,165,162,161,161,160,160,159,156,154,154,152,150,149,149,157,161,164,163,165,166,167,168,168,167,167,167,168,166,165,165,163,163,164,163,160,158,158,157,157,154,153,151,159,162,164,166,167,168,169,170,172,170,170,171,171,170,168,167,166,166,164,163,163,161,159,160,159,157,155,154,161,162,165,167,169,170,170,172,172,171,171,172,172,172,170,169,169,167,164,165,164,164,163,161,159,158,157,156,162,163,166,168,168,167,172,175,174,173,173,173,173,173,171,169,169,167,167,167,165,165,164,163,162,160,159,157,164,164,169,166,184,150,121,180,174,175,175,174,174,174,173,172,171,170,168,168,168,167,166,164,163,162,161,159,165,167,171,167,194,125,101,184,174,176,175,176,175,175,174,173,172,171,169,169,169,168,167,166,164,163,162,161,165,168,170,172,190,98,118,185,174,177,177,178,179,176,173,173,173,172,171,170,171,169,168,167,166,165,163,162,168,170,171,179,187,96,130,186,177,179,177,175,171,179,177,174,175,174,172,173,172,170,168,167,166,166,165,164,170,171,172,183,186,93,135,195,179,178,186,183,145,111,176,179,174,175,174,174,175,174,175,172,167,166,166,165,172,173,173,186,170,116,141,155,184,139,139,186,165,108,88,177,179,176,177,174,163,147,137,163,173,168,168,167,171,176,175,190,182,189,181,147,202,145,92,173,179,123,48,115,187,177,172,150,105,86,69,106,180,171,170,167,172,177,176,189,188,213,183,173,202,163,88,165,172,110,48,73,179,175,166,117,72,74,105,141,175,171,171,168,175,178,178,190,181,221,189,187,210,156,68,119,129,80,28,43,153,176,145,91,69,154,180,176,173,172,171,171,176,182,178,195,215,218,178,190,220,142,76,13,75,117,85,98,149,149,106,71,136,189,176,176,176,174,173,171,177,182,180,202,209,195,155,138,179,109,56,53,160,181,164,151,147,113,70,102,186,179,181,179,178,176,174,172,177,179,187,199,169,173,143,95,90,94,148,204,198,175,157,135,123,102,72,168,185,181,183,180,180,178,175,173,179,179,192,216,182,166,149,128,87,204,223,205,194,172,139,118,102,87,122,192,182,184,181,180,181,177,176,176,181,178,201,223,195,168,147,160,211,231,208,201,187,157,125,99,96,87,177,190,185,184,182,181,181,179,177,178,181,179,212,228,200,185,185,217,233,222,211,195,171,139,103,97,76,120,197,187,188,185,184,183,182,181,179,178,182,179,218,229,207,195,214,232,230,216,207,180,149,114,98,86,86,184,191,189,189,186,185,184,183,183,182,180,184,180,217,237,212,198,220,228,212,189,181,157,123,103,88,81,169,197,191,191,190,189,187,186,184,184,182,180,184,180,211,240,216,195,207,211,199,170,154,132,105,92,86,169,200,192,193,191,190,189,188,188,185,184,183,181,185,185,201,219,199,194,211,214,200,171,153,121,92,65,157,205,195,196,194,192,192,192,190,188,186,187,183,182,185,187,193,200,192,203,209,199,195,162,138,108,59,96,204,197,198,196,196,193,193,192,191,189,188,187,184,183,185,188,191,208,219,208,202,187,190,158,127,91,48,152,207,199,199,198,198,195,193,193,191,191,189,186,186,185,185,188,190,223,221,191,200,187,173,149,124,77,62,187,204,200,199,200,199,196,194,194,192,192,190,189,188,184,182,186,188,231,219,179,207,180,161,150,116,81,66,189,202,198,199,199,197,196,193,192,192,191,190,189,187,184
6,156,157,157,158,160,159,161,161,162,162,162,161,161,161,161,160,161,161,162,161,162,161,160,160,158,157,157,159,162,162,162,162,163,162,162,162,163,163,163,163,163,163,164,163,165,164,163,163,164,163,162,161,161,160,161,159,164,164,164,165,165,166,166,166,166,167,167,167,167,167,166,168,168,167,166,166,167,167,164,163,165,164,164,156,166,167,167,169,168,168,168,168,169,170,169,169,168,170,170,170,170,168,168,169,168,169,166,166,168,167,168,145,169,169,170,170,170,171,171,171,172,173,172,172,176,172,171,172,172,171,173,173,171,169,174,171,169,169,170,162,173,172,173,173,173,174,174,174,175,176,178,164,151,177,176,176,174,174,169,172,163,172,208,169,166,173,171,167,175,176,177,177,176,177,178,178,178,175,191,151,87,156,169,165,175,175,162,167,169,158,177,142,167,175,172,173,177,178,179,179,178,180,182,182,181,183,195,152,155,173,166,159,174,170,160,144,135,118,116,153,177,175,176,174,180,181,182,182,183,183,186,185,181,181,184,189,194,181,157,150,127,116,106,102,113,144,176,183,178,178,178,176,182,183,184,185,184,185,180,175,177,182,187,186,167,146,126,103,103,119,142,171,185,188,185,181,180,179,178,178,184,185,187,187,188,186,172,169,170,171,159,130,104,90,102,154,182,187,191,188,185,185,185,183,182,182,181,180,187,187,188,186,194,194,189,188,153,122,123,111,91,103,167,192,195,193,187,189,188,188,188,186,185,184,183,183,189,189,189,188,200,201,210,177,122,114,114,128,136,135,126,126,145,173,195,190,190,190,190,189,188,186,186,184,191,191,190,194,206,206,214,163,134,147,122,116,130,139,129,124,119,97,173,198,191,192,192,191,190,188,188,187,192,193,192,202,214,211,211,202,204,187,133,107,118,126,116,110,115,84,155,205,194,194,193,193,191,190,190,189,194,194,195,208,216,211,211,213,216,194,139,103,116,125,127,117,108,89,150,206,194,195,195,196,193,192,192,191,196,196,198,207,212,212,211,210,206,199,176,143,113,99,119,124,120,103,98,201,197,196,196,196,196,196,195,194,197,197,196,211,209,213,210,210,209,211,213,182,123,95,113,119,114,94,111,206,199,198,197,198,198,198,196,196,198,196,197,212,215,216,213,213,209,210,214,175,126,108,108,112,107,93,102,193,203,200,199,199,200,198,197,197,201,195,205,213,215,218,221,213,207,211,198,154,120,113,109,109,106,103,77,167,211,201,200,199,200,198,198,199,203,188,205,214,215,219,216,204,203,197,171,140,123,116,98,105,106,98,106,198,206,203,203,202,201,201,200,200,199,186,207,214,215,217,202,196,196,178,153,132,135,140,100,84,85,91,187,209,203,204,204,203,203,203,201,200,191,194,214,210,209,203,190,188,188,172,152,145,141,145,80,60,89,177,214,205,206,205,205,203,204,203,202,202,185,200,212,207,202,195,186,184,179,171,161,151,128,103,135,164,202,214,209,208,206,206,206,204,205,205,204,203,183,204,209,197,193,186,189,189,174,162,157,134,95,132,225,215,212,210,211,209,209,208,208,207,207,205,205,204,190,203,202,194,190,178,183,183,166,155,140,115,89,193,215,210,210,209,209,210,210,209,208,208,208,207,206,204,194,199,193,190,184,171,173,167,156,141,120,93,140,221,211,213,212,211,211,212,210,210,211,210,209,209,207,206,194,196,197,191,178,169,164,157,137,117,98,101,204,215,211,213,213,212,212,212,212,211,211,210,210,210,209,208
5,184,188,190,194,196,199,203,204,204,204,205,207,207,206,208,207,207,208,207,209,208,206,206,206,207,208,208,208,186,190,193,196,200,202,204,206,207,208,209,209,209,209,210,211,210,211,210,211,210,210,210,210,210,210,211,210,188,190,194,198,202,204,206,208,209,210,210,211,211,212,205,203,214,213,213,212,212,214,215,214,213,212,211,212,190,193,197,200,203,206,208,210,211,211,212,215,211,224,193,142,219,215,215,215,217,216,216,218,215,214,214,213,192,196,199,201,206,208,209,214,215,214,215,212,225,228,167,162,220,216,217,218,218,219,219,219,218,217,215,215,194,197,201,204,209,210,215,189,204,218,216,220,249,169,145,218,220,217,217,216,219,216,216,222,221,219,218,217,196,199,203,206,210,208,231,152,168,225,211,249,225,126,202,225,219,217,227,229,224,165,166,232,221,223,222,219,196,200,204,207,208,217,228,127,190,224,220,238,164,155,231,218,220,239,239,197,177,147,195,228,223,224,224,222,197,202,206,209,208,236,186,134,225,221,219,185,130,204,227,216,233,233,170,137,193,216,229,224,225,225,226,224,198,202,207,210,209,242,171,157,230,220,196,152,137,231,212,214,206,146,148,214,233,228,226,228,226,226,226,225,200,203,208,211,210,244,173,161,233,214,190,162,144,230,198,210,138,136,225,231,226,227,227,230,229,228,228,227,201,203,207,211,213,239,178,154,232,212,194,152,158,204,189,191,121,195,235,227,229,227,230,229,229,230,229,227,201,205,209,212,214,226,220,158,203,217,196,126,154,165,184,163,144,225,230,231,231,230,226,232,232,230,230,230,202,206,211,215,216,216,235,201,155,204,173,154,124,138,167,144,179,238,228,224,231,239,212,170,233,232,231,230,201,204,209,211,217,210,223,239,180,158,151,141,129,133,133,145,204,231,223,232,244,218,225,170,196,242,230,231,201,206,208,212,216,216,217,250,221,166,128,118,120,122,123,156,182,215,232,213,183,156,190,209,164,209,236,231,202,207,210,211,215,218,217,243,232,173,122,116,117,115,123,155,168,177,192,142,148,208,212,205,152,180,237,229,203,208,211,212,215,219,217,234,239,173,118,112,113,111,121,138,147,129,142,179,227,219,218,167,160,237,232,232,204,208,211,212,217,219,218,231,243,181,119,108,113,113,116,128,123,138,217,239,223,215,185,132,227,238,233,233,207,212,214,217,219,219,219,228,244,190,126,107,111,116,111,118,98,172,248,229,215,203,131,157,243,229,233,233,183,191,198,202,206,211,211,220,243,198,135,107,110,111,116,135,144,153,206,219,218,170,125,220,245,237,238,239,117,118,122,123,126,135,124,190,253,206,147,109,112,111,115,139,167,179,154,205,219,152,141,204,203,208,211,212,123,121,120,120,119,123,107,190,251,213,160,114,108,116,128,152,173,186,169,192,193,130,118,119,122,123,126,125,122,122,122,130,130,130,117,196,246,218,167,120,110,116,152,176,191,181,149,150,149,127,134,130,135,132,127,125,120,120,121,124,125,130,117,185,243,220,174,133,123,111,162,184,185,162,130,116,121,135,140,134,132,128,155,197,121,121,122,123,123,127,115,184,235,216,177,147,131,108,155,181,173,140,116,119,129,133,131,120,150,203,234,224,121,123,123,124,123,125,116,204,239,212,183,154,130,109,133,158,146,123,116,129,135,130,125,186,247,239,219,203,120,120,122,123,123,124,119,220,238,207,177,140,119,107,118,129,122,116,127,132,136,131,206,255,234,217,208,185
4,162,166,169,171,174,177,180,183,183,185,185,187,189,190,189,191,189,189,186,187,187,186,186,185,186,185,184,183,163,167,170,173,176,178,180,183,185,187,187,192,192,189,187,188,195,190,191,190,189,188,188,186,187,185,185,184,165,169,172,175,178,179,183,185,186,186,186,181,189,205,187,141,153,198,191,192,191,189,189,188,189,188,186,185,166,170,172,176,179,183,185,188,185,203,194,155,143,226,196,145,95,198,199,196,193,192,191,190,191,190,188,188,168,172,176,179,181,185,185,185,180,233,221,171,112,194,202,147,87,140,161,174,199,193,193,192,192,191,190,189,168,173,178,180,182,181,195,213,191,164,219,195,126,164,211,147,66,86,146,106,164,202,192,194,193,192,191,190,170,173,178,182,185,185,222,230,198,112,190,198,120,135,196,131,62,95,151,112,85,198,197,195,194,193,191,191,170,174,179,183,184,189,217,207,187,108,172,177,111,102,158,117,57,117,162,117,67,186,201,196,194,195,194,192,171,177,180,182,184,186,216,188,190,112,153,164,107,73,126,104,71,178,169,105,69,189,202,196,194,196,195,193,172,177,180,183,186,186,222,180,170,155,136,169,145,78,109,82,81,177,136,72,69,201,200,196,196,197,195,194,174,178,182,186,187,189,230,215,176,129,90,184,164,158,144,133,135,160,149,94,71,206,202,199,198,198,197,195,175,179,184,186,186,193,234,208,171,120,82,101,105,173,150,166,186,199,190,122,91,209,202,202,199,199,199,197,175,180,184,186,186,202,232,183,140,114,92,76,68,107,151,163,179,186,171,120,85,198,203,202,200,199,199,199,176,180,184,189,185,211,230,186,148,109,83,80,92,91,118,137,137,146,154,133,74,164,212,201,200,199,200,200,176,181,185,189,184,217,230,191,147,113,95,89,97,124,116,122,150,158,170,147,86,124,218,200,202,201,200,200,177,181,186,190,187,224,226,184,137,105,98,89,92,134,130,171,198,199,203,163,109,79,202,206,203,203,201,200,178,182,186,190,190,226,223,183,140,113,99,98,100,131,151,207,220,211,216,177,124,63,158,217,203,206,202,202,179,182,186,191,190,223,215,184,146,128,114,104,104,128,202,217,222,202,195,163,117,62,150,219,204,206,204,203,179,182,185,190,190,220,208,184,153,130,113,108,112,175,231,226,210,190,161,135,92,73,193,211,205,206,204,203,178,180,185,190,188,218,216,187,142,117,109,118,141,217,232,220,191,164,136,106,65,127,216,205,205,205,204,202,179,180,185,189,189,212,223,189,153,150,128,130,166,229,222,204,173,144,115,81,71,198,210,206,205,206,204,202,179,182,185,190,191,205,217,197,169,164,141,113,182,227,205,182,154,127,97,56,133,221,206,208,207,206,204,203,179,183,185,190,192,203,223,201,171,165,144,113,192,213,182,156,126,101,75,67,201,212,208,207,207,206,204,203,179,183,186,193,187,206,232,210,180,158,129,114,187,190,159,132,101,86,47,136,221,207,208,208,207,207,205,203,180,183,186,192,183,228,229,200,168,140,103,123,173,153,114,97,81,55,80,208,208,207,208,208,207,206,204,202,181,184,190,187,201,239,220,199,174,132,115,140,152,110,84,80,68,65,189,216,209,211,210,210,209,209,207,207,169,171,175,170,223,228,219,206,171,141,133,138,132,96,87,91,61,141,200,192,195,195,195,196,196,196,195,194,112,111,102,138,233,209,198,187,151,137,151,117,103,88,83,78,69,104,106,106,106,104,105,105,106,109,110,108
21,186,188,191,192,193,193,193,194,195,195,195,200,197,197,197,196,196,195,195,197,196,195,194,193,192,190,190,189,190,192,196,196,197,196,197,198,199,200,196,174,200,200,200,200,199,199,200,200,200,198,197,196,194,193,193,192,194,196,199,200,201,202,201,201,202,203,211,136,177,211,202,204,204,203,202,202,201,201,200,199,199,198,197,196,198,199,201,202,203,204,205,206,206,206,217,142,156,217,206,208,209,209,205,206,204,204,203,201,201,201,199,198,201,203,205,206,207,207,208,210,209,210,219,143,138,219,210,200,167,199,213,209,209,207,206,206,205,204,203,200,205,206,209,210,212,212,212,213,213,212,225,163,132,216,214,199,142,151,223,211,211,210,209,209,209,207,206,204,208,210,213,214,215,215,216,215,217,213,233,202,133,205,223,196,149,135,221,216,215,214,213,212,211,210,208,206,211,213,215,215,217,217,218,219,220,216,236,209,132,187,229,195,151,130,213,223,218,217,216,215,213,213,212,210,214,215,218,219,219,220,221,221,221,217,239,224,149,173,233,204,177,138,208,225,220,220,220,219,217,216,215,213,216,219,219,221,222,222,224,223,222,223,213,207,180,160,235,201,175,138,204,229,222,222,221,220,220,219,217,215,219,222,221,221,224,224,225,225,225,231,208,163,158,153,231,197,187,137,203,234,225,224,223,222,222,221,220,217,221,222,223,225,226,227,226,228,225,244,234,184,116,127,230,205,206,152,205,235,227,226,226,225,224,223,222,222,222,224,226,227,228,229,229,230,229,245,243,186,147,181,183,171,184,161,167,239,229,229,228,228,227,226,224,222,224,226,228,229,229,231,233,230,225,209,227,191,137,164,152,168,160,163,144,212,237,231,230,229,228,228,226,225,227,229,230,232,232,234,234,235,217,150,178,212,122,83,136,153,125,201,166,170,243,231,233,232,231,229,228,227,229,231,233,234,234,236,234,238,228,175,130,215,160,97,112,98,168,236,201,148,224,237,233,233,233,231,231,228,229,232,233,234,235,235,240,228,223,209,128,198,189,100,122,186,170,221,213,148,170,247,233,234,234,232,233,231,231,233,234,235,236,237,239,245,209,202,141,118,127,86,121,221,213,199,175,137,128,234,238,234,234,233,233,233,232,234,235,236,239,239,238,232,190,188,142,105,94,107,167,225,228,197,147,125,128,232,240,237,235,234,233,233,233,235,236,239,241,241,237,231,225,172,166,144,111,155,221,236,219,191,149,116,151,249,238,239,237,236,235,235,234,236,237,239,240,243,237,243,213,192,178,163,124,190,243,232,222,188,146,106,195,253,239,240,239,238,236,236,235,237,239,240,241,243,241,243,227,206,165,212,196,237,248,240,222,170,132,112,230,247,242,241,240,240,238,236,236,239,239,241,242,243,243,239,238,194,191,210,222,252,255,249,205,153,114,139,252,242,243,243,242,240,239,239,237,239,240,241,243,243,244,227,230,211,207,192,216,242,252,233,182,145,106,180,255,245,244,243,243,241,241,239,237,239,239,241,243,242,245,223,223,218,209,192,209,228,225,199,155,128,111,229,252,246,246,245,243,242,243,244,235,238,239,241,241,241,247,236,213,211,205,203,192,197,202,169,132,105,169,255,247,247,246,246,244,242,240,230,236,239,241,241,242,242,245,247,214,209,203,208,184,182,190,153,118,114,236,249,248,246,246,246,245,244,241,163,238,239,241,242,243,244,245,249,221,203,190,191,176,172,177,148,102,145,255,246,249,248,248,244,250,213,177,136
2,172,173,174,176,175,176,176,177,177,176,175,175,174,174,174,174,173,172,171,168,168,167,165,163,161,159,158,157,174,175,176,177,178,178,178,179,178,177,177,176,176,176,176,175,174,173,172,171,169,168,166,165,164,162,160,158,177,178,178,179,179,180,180,180,180,179,179,178,168,161,163,161,154,147,141,153,170,169,167,166,165,164,162,160,178,179,179,180,181,181,181,181,182,181,180,171,153,146,148,148,138,117,103,97,135,166,168,167,166,165,163,161,180,180,181,182,183,183,183,182,184,183,174,154,151,152,144,145,143,108,104,110,117,119,142,167,167,167,165,163,181,182,183,184,184,185,185,185,186,184,176,164,155,139,127,123,116,79,82,101,107,86,88,161,169,168,165,164,182,182,184,185,186,187,187,188,188,182,175,166,148,121,99,89,102,131,149,126,107,90,121,170,170,169,166,165,183,184,186,186,186,189,189,189,184,166,163,146,115,72,60,102,176,182,181,179,175,171,173,173,171,169,167,166,185,185,187,187,188,189,190,190,182,162,147,111,73,53,55,144,185,184,182,181,179,178,176,175,173,171,168,167,184,186,188,189,189,190,191,190,181,161,117,69,51,47,83,181,186,185,184,182,180,178,177,176,173,172,170,168,186,187,189,190,191,192,193,188,182,158,110,56,47,46,128,188,187,187,185,183,181,180,171,150,143,164,171,170,187,188,189,191,192,193,193,184,181,151,103,55,56,56,126,189,188,188,186,184,182,171,126,97,91,130,172,170,187,188,190,192,193,194,193,185,176,144,88,59,62,59,138,191,190,189,187,186,177,131,107,99,91,128,173,171,188,190,191,193,194,194,191,186,175,138,90,73,62,58,155,191,191,190,189,182,137,103,106,96,91,161,174,173,189,191,192,193,195,195,189,187,173,141,99,77,61,56,117,190,191,190,187,149,92,91,95,84,129,176,176,174,189,192,192,194,195,197,188,185,172,140,102,78,61,60,68,115,170,188,154,108,87,82,85,88,172,178,177,174,190,192,194,195,195,197,187,183,166,138,108,77,61,61,67,72,91,119,93,91,94,83,83,154,180,179,178,175,192,194,195,196,197,196,186,182,167,138,103,75,60,62,66,73,79,78,77,85,84,90,161,182,181,180,178,175,191,194,195,196,197,196,184,186,175,135,104,79,60,63,68,72,80,82,75,82,86,165,185,183,182,180,178,176,193,194,195,197,197,194,182,191,171,131,102,80,61,64,69,73,80,84,76,71,151,187,185,183,181,180,179,177,193,195,196,198,198,191,185,189,163,124,101,83,62,64,73,78,81,80,72,127,187,189,186,185,183,181,180,178,194,195,197,198,199,188,186,183,155,120,103,83,63,65,76,80,81,74,90,185,191,189,188,186,184,182,180,179,194,195,197,198,199,186,186,175,147,120,104,82,63,66,78,77,74,64,152,193,192,190,188,187,185,184,181,181,194,196,198,199,199,184,179,162,138,116,98,79,62,66,76,72,64,112,192,194,193,191,189,187,186,184,182,181,194,195,197,199,197,184,172,157,134,114,95,77,63,66,70,64,98,186,195,194,192,191,189,187,186,184,182,180,194,196,197,199,194,182,163,150,126,107,90,75,62,62,61,102,185,198,196,195,193,192,191,188,186,185,183,180,194,196,198,198,194,177,160,147,123,103,85,70,56,73,144,192,199,198,196,196,194,193,192,188,187,185,183,180,194,196,197,195,192,174,157,142,124,99,80,62,56,159,199,199,198,199,196,196,193,191,191,188,186,184,182,180
21,137,145,151,153,157,163,168,172,175,178,179,182,184,185,185,185,186,184,183,184,184,183,183,182,180,179,179,177,138,147,153,155,159,164,170,173,177,180,182,184,185,186,189,187,187,186,186,185,185,185,185,182,180,179,179,179,141,150,155,157,161,168,171,175,179,182,185,186,186,186,188,191,189,189,189,188,187,187,186,184,183,181,180,179,141,151,156,158,161,168,173,178,181,183,186,188,186,206,169,157,196,190,191,191,189,188,188,187,185,184,182,181,142,152,158,159,163,170,175,179,181,185,188,189,188,220,180,120,187,195,192,192,191,191,190,188,190,186,185,183,145,154,159,159,166,172,177,179,184,187,189,191,188,214,201,128,167,201,193,193,194,192,195,181,148,186,187,185,145,155,159,161,167,173,178,182,186,189,192,194,192,206,226,162,152,204,194,195,195,193,202,176,109,172,192,186,148,157,161,163,169,175,181,184,187,190,193,195,195,203,238,184,136,200,198,198,196,197,199,169,116,178,193,189,149,158,163,165,171,178,183,185,188,192,194,197,198,201,233,190,131,184,204,200,197,208,203,153,121,197,192,191,151,159,164,166,173,179,184,187,191,194,196,199,200,199,234,203,139,167,209,200,199,214,199,139,139,203,193,193,151,159,164,167,174,180,185,189,192,195,197,200,202,197,232,221,154,159,210,199,206,207,174,119,168,204,195,194,152,161,165,168,175,181,186,189,193,196,199,201,203,200,221,221,150,154,212,203,219,208,162,108,191,201,196,195,154,163,167,170,176,183,188,192,195,198,200,202,205,205,220,218,135,135,211,206,218,201,142,134,208,198,198,198,155,165,168,172,178,184,189,193,196,200,201,204,206,173,171,224,142,156,191,201,196,170,109,169,210,198,200,199,155,165,171,173,179,186,191,195,198,200,202,212,219,164,133,180,156,152,184,196,192,136,110,204,203,202,201,201,155,166,172,174,180,188,193,196,199,202,203,197,216,170,159,138,157,152,140,177,181,112,159,215,203,204,203,201,157,167,171,174,182,189,194,198,200,204,222,169,165,179,180,173,184,158,87,121,150,96,175,214,206,206,205,203,158,168,172,176,183,190,195,199,200,220,234,202,136,169,179,170,169,143,118,89,96,92,185,214,206,207,206,205,159,169,173,177,183,190,196,200,201,220,234,211,141,137,169,115,136,155,141,114,84,84,196,214,208,209,207,206,160,170,174,178,185,191,198,202,202,231,225,198,157,121,175,155,100,165,162,131,107,74,168,222,209,209,208,207,160,171,176,179,186,193,199,202,204,231,217,201,160,95,168,232,124,151,194,141,122,87,128,226,210,211,209,208,162,173,174,179,187,194,199,205,203,231,246,216,148,133,128,172,118,179,183,147,125,94,122,225,211,213,210,209,163,172,175,180,187,194,200,206,204,227,246,229,170,187,110,138,202,184,171,130,122,84,136,227,211,214,212,210,163,173,177,181,189,195,200,206,206,221,249,215,186,164,131,189,214,162,163,155,114,79,152,228,212,214,213,212,164,174,176,181,190,197,201,207,209,217,245,212,209,167,176,226,196,174,165,163,126,72,181,227,214,215,214,214,163,173,175,181,189,195,201,207,209,212,235,214,209,177,186,224,193,176,152,142,108,84,212,220,216,215,215,214,163,172,174,180,189,195,201,205,208,214,228,216,204,185,154,191,171,147,127,115,76,122,229,216,216,214,214,213,165,172,176,182,189,196,202,205,216,187,184,225,200,175,142,145,148,137,115,99,74,186,227,217,217,215,215,213
8,210,209,211,211,211,210,212,210,210,208,211,183,189,210,206,205,205,205,203,201,200,200,199,197,196,195,193,191,210,210,211,212,212,212,212,211,211,211,216,160,150,216,206,208,207,207,204,203,201,201,200,199,197,196,195,192,211,212,213,214,213,213,214,216,211,220,211,135,148,218,207,210,210,209,206,205,203,203,201,201,199,197,195,193,213,214,214,217,216,215,217,217,212,225,203,117,168,220,209,210,210,208,208,207,205,204,203,202,201,198,196,195,214,216,216,218,219,217,217,218,213,236,203,124,183,220,212,212,211,210,209,207,206,206,205,203,202,200,198,198,216,217,217,218,219,218,218,219,216,241,183,121,192,219,212,216,213,209,209,208,207,207,206,205,202,201,200,199,217,219,219,218,218,220,220,219,220,237,174,127,200,221,212,174,201,221,213,209,208,208,207,206,204,203,202,198,218,220,221,220,220,220,222,219,225,238,187,164,199,223,224,170,148,185,200,215,208,210,207,207,205,204,204,199,219,220,220,221,221,222,222,217,230,230,201,183,205,215,226,214,169,145,134,160,217,203,214,209,205,204,203,201,220,221,221,222,222,223,224,220,230,226,213,192,225,217,204,229,205,203,165,101,147,146,144,207,209,205,205,203,221,222,223,224,224,225,225,221,243,213,201,213,227,212,172,192,210,192,170,109,76,96,80,145,219,206,207,204,223,224,224,224,226,227,226,229,227,195,204,196,213,194,160,112,199,207,173,121,77,85,86,110,217,208,207,204,224,225,226,227,227,228,225,243,215,178,175,180,211,171,140,73,155,232,179,127,81,103,83,135,220,207,207,206,224,226,227,227,228,226,234,253,226,193,148,154,197,152,113,89,157,241,187,133,80,81,88,200,215,209,208,208,225,226,227,229,229,226,252,250,221,191,162,151,203,191,188,218,204,210,178,137,87,62,174,220,210,210,209,207,226,228,229,230,229,231,255,237,216,195,179,148,169,240,234,212,212,171,163,144,84,146,227,213,213,212,211,209,227,229,229,230,230,241,255,230,219,193,157,157,216,240,214,187,215,154,147,139,82,201,222,216,214,213,212,211,228,230,231,231,228,250,254,228,221,184,160,211,246,227,207,179,197,152,123,108,99,223,218,218,217,213,212,211,229,230,232,233,232,252,252,234,220,180,200,232,238,216,199,170,174,148,110,77,153,234,218,219,217,214,213,212,231,231,233,230,228,255,247,233,212,187,199,224,214,201,181,160,162,124,92,75,207,226,221,219,218,217,215,213,232,230,245,171,104,209,240,214,192,183,191,203,202,185,166,156,136,103,67,120,234,221,223,220,219,217,215,212,229,237,212,104,89,92,168,204,186,184,183,196,200,172,154,130,102,85,70,200,228,224,223,220,220,218,217,214,231,243,136,87,96,90,86,147,190,195,177,192,187,151,128,103,93,62,153,237,223,226,223,220,220,218,217,216,246,183,92,94,87,88,86,56,92,119,137,177,163,116,98,92,64,124,234,226,226,226,223,221,221,219,217,215,215,106,90,90,85,81,93,63,49,64,65,89,102,88,77,60,139,232,228,226,226,226,224,223,220,219,218,215,123,89,92,88,81,79,90,70,37,64,61,49,48,55,43,161,250,225,226,225,225,225,223,221,219,218,217,215,88,83,81,83,80,73,88,63,30,57,56,48,47,43,38,95,192,233,226,227,226,226,223,220,219,218,215,212,94,79,59,111,96,62,85,45,33,51,50,43,43,44,45,21,122,243,226,227,227,226,224,222,220,220,217,213
0,219,219,220,219,220,220,219,221,220,221,221,223,221,221,221,219,220,221,221,222,221,221,220,222,220,219,219,220,220,219,220,219,221,223,222,224,223,222,219,221,221,221,222,221,221,220,222,223,221,222,222,222,223,220,220,220,221,221,221,222,222,224,224,222,223,224,222,223,224,224,223,224,224,222,222,223,223,222,223,222,223,220,220,220,223,222,223,223,224,225,222,222,218,201,215,225,216,222,226,221,219,226,228,225,227,224,221,223,224,222,220,220,223,224,224,224,224,225,222,228,225,171,132,180,195,176,188,212,200,178,204,218,213,223,227,224,223,224,222,222,222,225,224,225,225,224,226,223,224,173,96,129,204,158,114,177,200,138,114,171,160,146,177,222,225,221,224,223,224,225,225,225,224,222,221,193,210,185,129,115,185,148,102,151,177,128,95,155,156,111,103,160,224,224,223,224,225,226,225,226,224,219,213,185,175,202,165,101,148,150,93,144,167,116,96,165,154,109,109,143,166,234,223,224,225,226,226,227,226,221,212,191,156,164,161,94,135,148,82,131,181,128,91,171,171,114,115,175,130,184,234,224,225,227,227,227,228,221,210,190,157,134,126,100,138,134,71,140,181,115,99,186,180,158,145,153,140,117,226,227,227,227,227,228,227,220,213,205,182,141,121,114,125,114,85,128,154,125,177,193,179,169,146,126,116,110,220,228,227,228,229,229,228,222,218,210,199,175,130,113,108,118,132,131,157,194,204,195,185,160,143,131,107,123,230,227,229,229,230,230,229,223,223,214,206,197,164,118,115,124,132,157,199,208,207,201,186,157,135,127,100,144,240,226,229,229,230,230,229,220,228,221,215,210,189,149,143,135,140,182,206,210,217,206,181,153,132,123,96,184,240,226,229,229,229,230,231,210,226,228,222,218,203,179,170,158,149,184,196,212,220,207,176,148,131,113,117,223,231,228,230,230,230,229,233,212,214,232,231,226,210,195,186,176,164,174,201,217,214,200,167,138,134,105,166,238,228,230,229,231,231,230,234,220,201,229,235,230,217,205,194,187,178,171,189,211,209,191,160,133,130,103,209,236,229,231,230,231,231,230,229,234,192,216,233,234,224,211,203,196,181,171,176,195,195,174,147,131,114,122,233,231,230,230,231,231,233,232,230,238,205,196,231,235,226,206,202,193,180,173,172,184,183,154,135,127,95,172,242,228,231,232,231,231,231,233,234,232,229,188,227,233,216,197,202,189,182,175,160,166,172,145,132,108,124,230,233,230,231,232,232,232,232,233,233,232,232,202,229,232,218,206,213,199,185,172,152,152,158,143,122,103,204,238,232,234,233,233,232,233,232,234,233,232,234,207,229,236,227,212,222,204,184,172,151,144,149,143,104,159,240,230,234,236,234,233,232,233,232,233,233,233,235,200,222,236,231,216,219,201,181,168,154,143,145,140,98,200,238,231,234,236,234,233,233,232,232,233,233,234,237,200,219,237,232,218,210,198,179,166,157,142,139,130,107,220,234,233,233,235,234,233,232,232,232,232,233,234,232,212,224,234,230,220,208,196,182,166,157,144,132,121,118,236,234,233,233,233,234,234,231,232,233,233,234,235,225,218,232,223,226,216,206,195,182,166,155,143,129,118,130,240,231,234,233,233,234,234,231,232,233,234,233,234,222,216,225,222,225,209,198,191,181,165,151,137,127,111,151,237,228,234,233,234,234,233,232,232,234,233,232,235,220,212,222,225,224,208,191,183,178,164,146,127,123,103,178,234,229,234,234,234,234,234
7,218,218,219,218,218,218,218,218,217,216,215,214,213,212,211,210,209,208,206,204,202,201,199,197,196,193,191,189,220,219,220,220,220,220,219,220,219,218,218,217,216,215,214,213,211,211,209,206,205,204,203,200,198,196,193,191,220,221,220,221,223,222,222,222,221,221,220,219,218,217,216,213,213,212,211,208,206,205,205,202,199,199,196,194,222,223,223,222,225,224,224,224,223,222,222,222,220,219,217,215,216,214,214,215,212,210,209,204,202,201,198,196,225,225,225,225,226,225,227,227,225,224,221,221,221,223,223,222,219,213,206,196,195,192,203,209,205,203,200,198,226,227,226,226,226,225,225,226,225,227,228,228,222,210,199,184,180,177,155,148,197,190,166,209,207,206,203,200,228,227,227,227,228,229,232,233,229,220,207,190,175,165,140,152,154,142,140,140,166,152,162,220,210,207,204,201,227,228,229,230,231,222,207,191,183,173,162,154,156,148,131,132,127,114,121,104,94,129,161,161,197,210,206,204,229,229,231,223,192,165,155,156,160,165,163,156,145,121,125,118,117,121,122,117,116,106,96,119,137,209,208,205,231,234,221,193,180,152,139,151,140,134,130,129,132,140,155,146,112,125,134,111,107,92,86,109,111,204,212,207,232,212,193,194,182,148,129,118,115,127,142,159,167,162,150,133,95,100,99,77,78,80,89,111,167,215,210,208,201,187,192,190,178,170,159,161,163,170,174,159,153,141,131,101,78,86,114,142,170,191,209,220,221,214,212,210,184,187,190,185,183,179,162,151,141,143,139,122,116,113,108,122,157,199,227,233,232,226,221,218,216,214,212,210,188,193,188,188,189,169,129,96,106,105,89,77,66,108,219,237,238,235,227,225,223,222,220,220,218,215,212,210,195,193,190,185,164,146,98,76,84,68,60,60,60,52,115,236,228,229,229,227,227,224,221,221,219,216,212,209,192,194,185,160,152,137,107,97,74,62,63,60,62,47,104,230,231,227,227,227,225,221,220,219,217,214,215,219,194,192,173,158,149,145,151,149,95,64,68,70,54,111,230,231,230,228,226,225,223,220,218,215,215,221,202,159,196,185,160,146,141,145,157,136,79,63,60,43,90,235,235,231,232,229,227,226,224,221,223,226,215,181,100,63,185,156,131,132,129,129,131,95,67,56,54,54,80,240,230,232,228,226,226,225,231,227,200,157,107,70,64,58,156,139,136,140,132,119,107,92,83,64,67,47,133,240,229,233,239,237,236,234,176,116,85,66,61,62,65,54,144,147,146,141,118,91,93,112,101,67,54,135,247,240,241,227,181,167,165,128,79,72,60,62,62,63,64,51,147,137,120,99,85,89,107,116,83,60,95,173,174,161,146,101,63,64,56,62,59,67,65,43,53,62,64,50,128,105,97,97,98,98,93,74,68,105,117,100,87,83,83,59,44,65,49,61,53,50,58,36,43,56,63,45,116,111,113,108,94,82,75,81,119,138,114,93,83,75,66,67,37,52,48,46,48,48,48,32,38,52,59,37,103,99,96,89,79,82,106,128,127,108,88,73,67,59,57,54,43,33,49,38,43,44,41,31,38,50,55,34,77,85,92,97,109,122,127,126,113,71,61,65,61,50,54,49,47,26,39,35,37,44,36,31,41,47,54,30,122,127,130,136,129,123,123,114,79,62,47,54,59,45,47,41,43,24,27,37,33,44,33,31,42,46,50,27,127,129,126,130,124,123,115,90,52,51,48,43,56,38,40,33,39,30,23,35,35,43,29,35,41,48,49,24
4,70,84,97,103,109,113,117,120,122,124,128,130,131,134,137,138,141,140,142,144,144,145,146,145,146,146,146,147,70,86,99,105,110,114,118,120,123,126,130,131,134,137,136,140,138,143,144,146,149,148,147,148,149,149,149,149,73,89,99,105,111,115,119,122,125,127,128,131,126,130,144,147,119,109,142,136,133,151,149,149,150,151,151,150,75,91,101,107,113,116,121,125,126,122,138,166,132,112,144,163,116,66,105,129,74,100,155,150,151,151,152,152,76,92,102,108,113,117,121,125,132,139,117,137,165,113,100,150,103,62,64,108,80,53,141,157,152,153,155,154,77,95,104,110,114,117,123,122,158,154,127,98,115,105,73,114,90,54,65,110,79,43,135,159,153,155,156,155,79,95,104,110,114,119,119,137,170,162,141,116,66,70,66,132,105,40,108,115,63,44,151,157,154,156,157,157,82,97,105,111,116,120,119,155,140,131,136,93,59,50,64,141,103,88,134,92,37,63,162,157,156,158,159,158,84,98,107,112,117,121,121,166,123,117,125,64,47,57,39,83,112,148,128,108,63,85,170,156,158,159,160,159,88,99,106,113,117,120,129,172,136,136,113,69,34,84,98,114,131,129,110,118,97,87,161,160,159,160,160,160,89,100,105,113,120,119,142,165,120,106,100,74,21,112,131,116,116,95,111,135,116,90,104,166,158,164,163,162,92,101,106,115,120,116,153,156,114,90,76,46,23,42,83,84,78,47,109,142,135,120,75,122,170,161,165,165,91,102,108,115,121,121,174,160,124,102,82,60,39,32,38,44,69,111,114,134,144,125,95,67,151,167,165,165,94,103,107,116,119,128,186,152,127,114,82,62,50,61,90,117,150,163,147,137,124,117,106,68,111,174,164,166,97,103,108,118,117,139,192,159,144,116,81,75,61,97,143,161,167,161,141,128,105,93,98,66,119,174,166,167,98,103,109,118,115,152,192,162,141,105,87,84,76,135,162,168,170,166,139,116,93,76,73,77,160,167,168,168,98,103,110,120,115,156,190,159,130,104,101,88,102,154,159,166,168,154,126,105,85,71,59,130,174,167,169,168,99,103,110,120,115,158,187,153,133,123,118,103,127,154,158,162,157,135,115,93,80,59,88,173,168,169,171,171,100,104,111,118,117,156,180,157,150,141,125,119,145,151,157,151,137,124,100,86,71,60,154,174,169,171,172,173,100,104,112,119,119,145,180,166,159,141,123,117,139,145,144,132,118,108,89,78,57,115,178,169,169,172,173,173,101,105,113,120,121,135,176,160,153,138,118,103,119,129,129,120,105,94,82,63,81,170,170,171,171,172,172,173,101,107,114,120,125,132,173,153,139,128,110,103,114,125,123,107,90,83,70,60,149,174,170,172,173,174,173,174,100,107,114,120,125,128,165,141,128,119,105,112,108,117,120,102,86,77,51,121,176,169,172,172,173,174,174,175,101,107,115,121,124,138,166,142,130,125,126,130,108,101,108,91,78,60,83,171,170,172,173,174,175,175,175,175,102,108,116,120,129,176,148,137,140,131,129,119,102,92,97,83,72,53,140,174,170,173,174,174,175,175,175,175,102,108,117,117,164,174,170,99,112,138,121,108,97,84,84,77,67,52,157,172,171,173,173,174,175,176,176,177,102,111,112,136,182,166,172,157,63,102,109,98,91,72,76,71,60,54,162,171,171,173,175,175,175,176,177,178,103,110,114,172,169,167,166,177,133,48,81,93,80,60,70,66,58,52,160,174,172,173,175,177,177,177,178,179
18,151,152,154,156,158,162,165,168,170,173,176,176,177,180,181,182,184,184,185,185,186,186,187,187,186,186,186,186,152,154,155,157,159,162,166,168,172,174,176,177,178,180,181,182,184,185,186,187,187,188,188,187,187,187,186,187,152,155,156,157,159,164,168,170,174,175,177,179,180,182,182,185,185,185,187,187,188,188,188,190,189,189,187,187,152,155,156,158,160,164,168,172,174,176,178,179,181,182,183,185,186,186,186,188,188,190,188,153,189,188,188,188,153,155,157,159,162,163,168,172,175,176,178,180,182,184,185,186,186,186,188,189,186,203,191,119,141,201,192,188,155,157,158,159,163,166,170,173,176,178,180,182,183,185,186,186,186,187,189,195,179,197,195,142,113,149,179,194,156,157,159,160,164,168,171,174,177,179,181,182,183,186,189,186,192,171,148,170,176,172,207,178,148,115,111,149,156,158,159,161,165,168,172,175,177,178,181,182,184,185,172,190,202,165,152,110,157,173,206,189,155,147,144,113,156,158,160,161,164,168,172,175,179,181,182,179,191,193,154,130,187,176,162,117,137,172,181,186,171,157,145,128,157,159,161,162,165,169,173,176,179,182,181,185,205,194,177,119,161,193,157,126,106,164,140,137,171,167,145,134,157,159,161,164,167,170,174,178,181,182,180,208,218,199,181,138,134,193,158,132,91,133,127,94,193,188,158,139,159,161,162,164,168,172,174,178,182,183,186,208,216,206,181,147,113,182,153,122,83,91,107,94,184,199,167,137,159,162,162,164,169,172,176,179,183,179,196,220,206,190,183,144,102,145,131,109,87,71,81,71,177,195,174,139,159,161,163,165,169,173,176,180,183,183,215,213,199,167,149,120,97,121,115,107,72,67,126,117,191,201,165,138,160,163,163,165,170,173,177,181,179,198,222,190,182,164,108,102,97,117,126,98,96,177,198,166,163,183,150,132,162,163,164,167,171,175,178,182,180,194,233,211,175,142,118,120,94,142,152,140,199,203,188,172,131,162,139,129,162,163,164,167,171,176,179,183,183,192,232,216,189,143,136,135,95,148,176,206,209,187,167,173,135,138,143,125,162,164,165,168,172,177,181,184,182,200,233,217,196,172,156,157,133,145,219,212,192,174,159,166,160,125,139,115,163,165,165,169,173,177,181,186,182,207,231,213,181,172,151,140,159,218,216,196,182,173,169,165,164,130,122,106,164,165,166,169,174,177,181,185,183,211,230,205,183,173,152,150,193,223,209,189,184,182,160,162,156,127,106,90,164,166,166,170,175,179,182,184,183,214,225,205,183,187,156,184,198,209,201,181,184,169,146,161,146,117,99,73,165,167,167,171,175,179,182,186,185,214,222,208,200,189,162,174,193,190,190,173,172,155,149,158,128,108,79,118,165,167,168,171,175,179,183,186,186,210,218,205,205,180,158,152,179,176,177,170,163,150,149,131,109,91,88,195,164,166,168,171,176,181,184,187,186,210,219,209,203,170,138,159,167,175,177,167,160,144,129,104,97,73,164,213,165,167,168,173,176,181,183,188,188,205,215,210,182,148,141,166,165,177,177,167,149,136,115,103,78,118,214,203,167,167,167,172,176,181,183,187,188,208,204,194,181,174,172,169,165,181,173,157,134,125,111,89,81,195,209,204,166,167,169,172,176,184,189,187,191,220,215,210,207,197,183,167,158,177,166,146,125,113,100,79,174,214,204,207,167,168,170,174,181,165,155,182,198,223,215,215,205,192,173,166,156,169,158,139,121,108,81,143,220,205,208,208
23,184,185,186,189,190,190,191,191,194,195,197,198,199,195,192,193,194,195,196,194,195,195,196,196,195,196,193,192,186,186,188,191,190,191,194,195,197,198,197,194,195,199,214,227,218,191,189,198,199,196,196,197,197,198,195,194,186,188,190,192,194,195,196,197,199,197,201,212,225,242,247,240,220,202,187,188,142,174,202,200,200,199,198,196,188,190,192,193,196,197,196,199,201,198,252,255,235,224,219,189,138,143,138,117,117,195,201,201,201,201,201,201,191,192,193,194,197,198,200,202,196,209,255,243,188,189,155,121,160,161,150,161,198,203,200,202,203,203,202,202,192,191,194,198,199,200,202,204,194,222,255,231,162,113,136,183,209,209,210,210,204,203,203,205,204,203,202,203,194,193,197,200,201,201,205,205,197,245,255,227,174,140,212,210,220,220,193,204,204,206,206,207,206,205,205,204,195,196,200,200,201,204,205,204,204,255,254,238,162,148,241,247,255,251,151,198,221,207,207,209,210,208,209,207,197,200,201,201,203,206,209,200,217,255,241,240,184,233,255,255,253,216,130,124,159,207,211,210,209,209,209,208,199,201,202,204,206,208,210,199,238,255,239,249,255,255,255,239,222,203,207,155,69,155,220,208,209,211,210,209,201,203,205,207,208,208,209,205,255,255,255,254,255,255,249,241,242,245,247,200,98,109,225,212,215,214,213,212,203,205,207,209,210,210,206,239,255,255,253,246,250,253,254,251,243,224,204,163,100,81,170,221,213,217,214,214,204,205,208,209,211,204,235,255,255,255,255,246,240,243,245,236,222,205,207,186,95,77,104,217,217,217,216,216,206,208,211,211,211,204,248,255,255,255,255,237,230,237,239,234,222,215,219,199,106,69,114,224,218,218,219,219,208,209,211,214,214,211,241,255,255,255,255,250,250,240,230,223,209,202,197,161,108,68,158,231,217,220,219,220,209,210,211,215,221,214,233,255,255,255,255,249,252,225,184,186,175,163,147,146,106,90,205,229,221,221,221,220,211,212,213,216,221,215,229,255,255,255,255,245,241,209,151,113,94,100,139,145,98,123,232,225,224,223,221,221,212,214,215,217,220,217,225,255,255,255,255,243,224,192,159,119,11,61,146,143,94,165,238,224,226,226,225,223,214,216,218,219,220,219,222,255,255,255,255,240,246,244,155,67,35,100,134,117,87,199,233,224,227,228,227,224,216,218,219,220,221,221,221,255,255,255,255,248,251,227,151,68,61,117,99,84,112,233,228,227,228,229,227,227,217,219,219,221,224,225,222,255,255,255,255,255,252,208,155,105,57,77,86,88,132,242,225,228,229,231,229,228,217,221,221,223,225,228,223,255,255,255,255,255,255,210,153,117,55,71,101,90,152,244,229,231,231,233,231,229,219,220,222,224,226,229,224,255,255,255,255,255,251,211,156,125,80,83,109,90,185,243,230,234,233,235,233,233,219,221,223,226,227,230,223,255,255,255,255,255,246,213,162,128,92,95,112,97,218,236,232,234,234,235,234,233,219,222,225,226,228,231,224,255,255,255,255,255,235,202,159,125,102,100,99,129,246,232,235,235,236,236,235,234,221,224,225,227,229,233,226,255,255,255,255,241,219,189,148,123,112,105,86,196,246,235,237,238,238,237,236,235,224,226,228,228,229,235,228,254,255,255,253,225,199,166,139,128,118,92,125,244,237,238,237,238,238,238,237,236,225,227,229,230,231,236,230,255,255,255,252,222,197,167,140,126,113,104,220,244,237,237,239,239,239,239,238,236
1,59,0,31,45,51,60,78,94,105,110,115,118,120,124,127,131,137,135,137,140,142,143,143,145,146,144,146,147,49,0,37,46,52,62,80,96,106,112,117,119,122,125,134,130,101,139,142,141,142,144,143,146,146,147,147,147,37,0,42,46,54,65,86,99,107,113,119,121,124,124,150,132,58,120,122,143,143,145,146,147,147,147,147,147,25,2,44,47,56,65,88,102,108,114,121,121,131,122,140,128,70,120,77,135,148,147,148,149,149,149,149,148,14,8,45,48,58,68,91,103,111,117,122,119,150,110,117,121,77,134,77,124,153,147,149,150,151,150,149,151,3,15,46,50,59,71,93,104,111,117,123,123,156,99,125,123,81,135,76,113,156,148,151,152,152,151,151,152,0,22,46,51,60,74,95,105,111,117,125,128,159,85,121,120,78,139,86,109,157,149,152,153,154,154,154,154,0,30,49,53,62,78,97,106,114,118,142,111,144,79,125,120,77,130,83,107,161,152,155,155,155,156,155,156,0,35,48,53,63,80,98,108,112,131,136,91,134,83,149,121,76,140,91,100,163,154,157,157,157,157,157,157,0,39,49,54,63,82,100,109,111,151,117,86,126,89,157,109,82,164,98,102,163,155,158,158,158,158,159,159,4,42,49,56,65,86,101,110,117,162,96,103,133,88,134,83,82,156,87,106,164,157,160,161,160,161,161,161,9,45,50,57,67,86,103,109,127,162,79,102,113,73,123,70,99,150,78,109,165,158,162,161,162,163,162,163,15,47,50,59,68,87,104,106,140,161,74,88,120,114,111,134,139,139,77,113,167,160,163,163,163,164,164,164,21,49,52,60,70,90,105,106,155,144,86,93,145,131,110,135,127,126,72,111,170,160,164,165,164,164,164,165,27,50,52,60,72,93,104,110,167,153,135,128,156,148,136,119,108,101,67,110,171,161,164,166,166,166,166,166,31,49,52,61,73,95,101,124,178,137,128,132,122,122,156,153,132,106,63,108,171,162,166,167,168,168,168,168,37,50,55,62,74,97,98,147,170,116,96,92,67,90,153,150,144,125,72,101,174,162,166,168,168,169,169,168,42,50,56,63,77,100,99,160,161,116,112,119,108,153,163,152,128,110,70,73,171,166,168,169,169,170,171,170,45,50,56,63,79,101,101,159,168,131,116,122,156,188,168,145,116,82,66,50,152,172,169,170,171,171,171,171,47,50,57,63,80,100,101,152,179,146,128,121,157,192,170,134,109,71,56,47,148,174,169,172,172,172,172,172,49,51,59,64,81,99,103,142,181,146,131,123,148,184,161,129,98,73,49,65,170,171,171,173,173,173,173,174,49,51,60,67,84,101,107,132,174,144,137,126,133,169,153,125,91,71,44,113,180,171,173,173,175,175,175,175,50,52,60,67,85,101,111,123,163,150,147,136,151,162,135,107,80,63,54,155,174,174,175,175,176,176,177,176,49,52,59,67,86,101,110,119,148,150,143,131,140,147,117,92,77,54,75,174,173,175,175,176,177,177,178,177,49,52,59,65,86,100,112,119,134,147,138,129,116,119,107,87,78,48,93,179,173,176,177,178,179,178,178,178,49,52,58,65,85,98,110,119,125,145,140,126,118,116,116,99,77,45,120,177,169,173,176,177,177,177,177,177,49,50,57,64,86,97,109,115,144,151,142,140,129,118,109,97,70,43,133,178,170,173,175,176,177,178,178,178,49,50,56,64,86,97,109,118,168,163,119,141,131,114,91,80,68,37,117,178,169,174,176,178,178,178,178,178
10,74,77,80,84,93,108,119,127,131,135,140,146,150,154,162,153,156,164,164,164,165,165,165,163,164,163,161,159,75,77,81,85,95,111,121,129,132,137,142,148,152,156,189,139,128,167,165,165,166,167,165,164,164,163,162,159,75,78,82,86,97,112,122,130,133,138,144,150,153,163,190,145,110,166,168,167,169,168,167,166,165,165,163,162,77,80,83,87,98,113,125,132,135,140,147,152,157,164,192,162,105,160,171,170,171,170,169,167,167,167,166,163,77,81,84,88,100,115,127,134,137,142,149,154,160,162,193,181,116,152,175,172,172,171,171,171,170,168,167,166,78,81,86,89,102,118,128,135,138,144,151,157,161,164,202,189,126,141,178,174,173,174,173,173,172,171,169,167,79,82,87,90,104,119,131,137,140,146,154,160,164,165,202,188,135,131,180,176,176,177,176,175,174,173,171,170,80,83,87,89,105,121,133,139,142,149,155,161,166,166,204,196,135,115,181,179,179,179,178,176,175,175,173,172,80,83,87,90,106,122,134,141,144,150,158,163,167,168,208,204,146,100,177,180,180,180,179,178,178,177,175,174,81,83,88,92,109,124,137,144,146,157,183,135,151,173,201,187,143,91,167,185,182,182,182,180,179,179,177,177,81,85,89,93,108,141,170,133,107,140,167,98,112,178,193,170,131,84,151,188,185,184,183,182,182,181,179,179,82,85,89,94,109,154,166,102,78,87,124,92,61,144,179,150,137,88,143,191,186,186,185,183,183,183,181,180,82,86,88,95,112,133,135,101,88,81,115,98,63,66,111,119,143,106,122,193,187,186,186,186,184,183,183,182,82,86,89,96,114,129,141,143,137,126,126,106,87,62,65,82,115,109,94,185,189,188,188,187,186,186,185,183,83,86,89,96,114,130,144,151,161,163,117,121,107,97,74,67,88,93,77,170,194,192,190,188,188,188,186,185,83,86,90,97,115,131,145,150,177,160,95,108,141,130,110,83,73,79,68,160,198,194,192,191,190,189,187,186,82,85,90,99,117,133,148,155,169,173,139,84,113,155,136,116,89,68,63,137,200,195,194,193,192,190,188,186,83,87,88,97,118,132,165,169,139,182,151,98,100,195,153,135,112,69,56,96,199,196,196,195,194,192,191,190,84,87,89,98,118,132,178,193,136,140,139,105,147,215,171,143,122,78,57,81,198,199,197,196,196,194,194,192,84,86,89,99,119,135,167,195,153,103,147,138,156,217,168,138,123,90,60,80,199,201,199,199,197,196,194,193,84,86,89,100,121,138,151,174,161,112,151,178,159,202,176,140,118,93,67,78,199,202,201,201,199,197,196,195,84,86,89,101,121,138,150,162,163,117,149,216,140,176,177,152,116,89,71,76,199,203,202,201,200,199,197,196,83,85,88,101,121,139,152,155,176,147,169,153,95,146,176,145,111,85,71,84,202,204,203,201,201,200,198,196,84,87,88,101,122,140,153,156,169,198,173,108,113,161,163,133,103,81,70,99,208,204,205,203,202,201,198,197,82,85,87,102,122,140,151,156,160,191,196,175,152,168,145,120,97,83,71,117,210,203,204,203,202,201,199,199,80,82,85,101,121,139,151,154,161,175,193,178,142,144,131,110,100,91,74,130,209,204,204,203,201,201,199,198,79,80,84,101,122,138,152,156,160,84,161,180,132,146,148,145,128,106,72,144,210,205,205,203,202,201,201,199,78,80,82,98,120,137,151,161,109,0,146,196,176,167,153,163,142,106,64,148,213,206,206,204,202,202,201,199
18,172,173,174,175,176,178,179,178,178,179,180,179,179,178,178,177,176,176,176,176,174,173,173,172,172,171,170,168,173,176,177,177,177,178,180,180,180,180,180,180,180,179,179,179,178,177,177,177,177,175,174,174,173,172,170,170,174,177,179,179,179,180,181,182,181,182,182,181,181,181,180,180,180,179,178,179,178,176,175,175,174,173,172,171,176,178,180,181,181,181,182,183,183,184,184,182,183,183,183,182,182,180,183,165,167,178,178,177,175,174,174,173,178,180,181,181,182,183,184,185,185,186,186,185,185,185,185,183,182,186,201,141,132,181,179,178,177,176,175,174,180,181,182,183,184,185,186,187,186,187,187,186,185,181,180,183,175,189,209,143,100,174,181,180,179,179,177,176,181,183,184,185,186,188,188,188,188,188,188,190,193,163,136,151,141,161,211,168,97,133,184,181,180,181,179,178,183,185,185,187,188,189,189,191,190,190,189,189,193,181,145,117,123,162,210,179,117,90,156,183,181,181,181,180,184,185,186,188,189,190,192,192,192,192,193,166,131,149,163,127,98,124,179,180,140,113,99,161,185,183,182,181,185,187,188,189,191,192,193,192,198,208,198,168,131,97,149,135,94,77,105,157,152,124,93,111,187,183,183,181,186,188,189,191,192,193,193,194,217,215,213,176,141,97,107,123,86,59,67,151,169,132,100,101,186,185,185,184,187,189,191,192,193,195,194,207,210,200,212,177,146,103,73,88,75,55,60,157,177,148,102,103,187,186,186,185,188,190,193,194,195,195,201,225,208,183,191,166,140,98,67,75,64,55,57,139,175,157,105,96,188,189,188,186,190,192,194,195,195,199,216,208,185,178,178,130,105,83,73,92,57,56,70,146,176,158,107,95,188,189,189,188,191,193,195,196,195,208,229,206,170,148,150,102,88,70,92,99,88,123,130,146,164,143,101,91,188,190,190,189,193,194,196,197,197,211,232,215,188,141,119,123,88,42,106,146,170,173,165,133,131,125,101,83,181,192,191,190,194,196,197,199,198,220,233,220,192,150,121,119,78,70,180,200,193,170,153,135,105,114,102,80,179,194,193,192,195,196,198,200,202,227,231,211,171,148,130,114,95,162,211,203,189,164,136,132,104,99,89,90,188,194,193,193,196,197,199,199,207,229,229,204,171,158,124,103,148,205,208,196,178,157,136,124,108,90,74,136,197,196,194,193,195,197,199,200,211,230,227,199,172,164,126,135,183,212,201,186,173,156,129,117,102,79,81,182,197,196,195,194,196,197,200,201,212,228,222,201,183,174,130,160,182,203,192,177,167,146,118,107,92,67,122,198,197,196,195,195,197,199,201,201,212,225,219,204,192,161,131,141,176,183,180,168,156,133,110,96,79,73,174,200,198,197,196,195,197,200,201,201,212,224,217,209,187,146,117,137,163,170,166,160,143,121,99,84,64,125,200,200,199,198,197,197,199,200,202,202,215,215,211,202,167,126,116,145,157,165,159,146,129,105,84,66,88,186,202,201,202,200,198,198,199,199,202,204,219,213,207,193,168,146,141,146,158,161,152,132,116,94,71,72,167,203,202,202,202,201,199,198,201,202,203,207,226,223,219,205,190,171,153,137,153,156,139,115,100,80,66,146,204,203,203,203,201,201,200,199,169,158,189,213,228,222,219,205,184,164,149,129,143,145,123,104,88,70,135,202,205,204,203,203,202,201,201,200,110,81,95,178,220,220,215,200,176,150,142,127,138,132,111,95,71,113,201,207,206,205,205,204,203,202,202,201
3,75,15,42,67,86,94,104,113,120,125,130,133,136,138,140,142,144,146,148,150,137,153,156,158,160,161,161,162,69,13,46,70,87,95,105,114,121,126,130,134,137,139,140,144,146,148,151,160,108,134,159,159,160,161,162,164,58,14,51,72,88,97,106,116,122,127,131,135,137,139,142,145,148,149,154,169,110,119,162,160,160,162,163,164,48,18,55,75,89,99,108,118,123,128,134,137,138,141,143,145,149,150,158,167,104,121,162,160,161,162,164,165,39,21,57,77,90,100,110,120,123,129,134,137,139,143,144,146,151,152,164,166,103,129,163,162,163,164,165,167,28,27,60,80,92,101,112,121,126,131,136,137,141,145,148,150,140,144,171,152,102,129,164,164,165,166,167,168,19,34,63,83,94,103,113,123,128,132,136,139,142,133,159,181,148,114,160,131,96,132,167,165,166,167,168,169,14,40,66,85,95,104,114,123,128,132,134,162,180,146,125,156,162,110,131,127,86,145,168,167,168,168,169,170,12,45,69,87,96,106,116,124,129,132,141,157,169,176,133,112,161,135,144,120,87,158,168,168,169,170,171,172,14,49,71,89,98,108,118,124,127,152,189,162,113,132,145,97,148,148,147,113,84,161,168,168,169,172,172,173,17,54,73,90,100,108,119,126,128,161,172,160,135,107,142,126,80,81,143,126,100,122,170,169,171,172,173,174,21,57,76,91,100,109,120,126,128,169,149,109,140,130,117,141,81,73,130,158,144,93,151,173,172,173,174,176,27,59,79,92,101,110,121,126,131,175,137,83,91,91,96,99,97,100,108,159,147,95,149,174,173,174,175,176,30,62,80,93,103,111,121,125,134,172,139,125,108,82,95,98,116,112,118,166,144,94,162,174,174,175,176,176,34,65,82,93,104,112,122,125,143,180,155,128,101,86,102,119,132,117,134,181,144,100,172,175,175,176,178,179,40,67,84,94,104,113,121,124,146,181,144,111,91,94,110,134,139,139,162,180,132,106,176,174,175,176,179,180,46,69,85,95,105,114,122,125,148,178,141,114,97,101,116,142,148,174,178,172,123,106,177,175,176,177,178,180,50,70,86,96,105,115,123,125,148,182,153,122,105,102,119,147,171,192,173,150,117,110,179,176,178,179,179,180,53,71,88,97,106,115,123,126,146,184,158,133,110,110,121,160,191,190,170,131,98,126,180,177,178,179,180,180,57,72,88,98,107,116,123,127,144,186,167,140,115,115,127,175,190,183,166,126,83,139,179,176,178,180,180,180,59,74,89,98,107,116,123,128,138,179,165,143,130,121,135,183,189,176,158,119,79,153,178,176,178,181,181,181,61,76,89,98,107,117,123,128,134,165,165,151,145,132,139,177,182,168,150,110,82,167,177,178,179,181,181,181,63,78,89,98,107,118,123,128,133,153,169,160,152,144,135,163,169,153,136,102,98,178,178,178,179,180,181,181,64,79,91,99,108,119,124,128,133,150,173,165,155,141,131,147,155,143,135,90,125,181,177,178,179,180,182,182,64,80,90,99,108,119,124,129,133,154,183,165,150,132,126,138,141,139,130,90,158,178,178,179,180,181,183,183,66,80,91,99,109,119,124,129,133,161,188,163,150,133,130,141,134,137,110,107,177,176,178,179,180,181,182,182,66,81,91,100,109,118,123,129,132,172,188,172,157,137,142,148,133,126,93,137,178,176,178,179,180,181,182,182,67,82,91,100,109,118,123,130,133,178,189,184,153,139,149,148,129,107,86,157,176,177,179,179,180,182,182,182
5,125,126,128,129,131,132,132,132,133,132,131,132,132,129,131,130,130,128,128,127,125,124,123,122,121,121,120,118,128,129,130,131,133,133,133,134,133,133,133,131,135,133,132,131,131,131,129,128,126,126,126,124,123,122,120,120,128,131,132,133,134,135,134,134,136,135,135,143,106,127,135,133,133,133,132,130,128,127,127,126,125,124,122,122,131,132,133,135,136,136,137,140,138,136,139,152,78,104,141,134,134,133,132,130,130,129,128,128,126,126,125,123,133,134,134,136,135,143,138,109,144,136,147,148,65,106,142,135,136,134,134,133,132,131,131,129,128,128,125,124,134,135,136,139,135,157,123,72,143,137,150,124,58,127,142,138,138,137,134,135,135,133,132,131,130,129,127,125,135,137,139,138,141,163,88,78,147,141,141,105,67,143,141,141,138,135,146,113,121,138,133,133,132,131,129,128,136,138,141,138,154,141,53,122,151,135,122,88,78,146,143,139,137,149,140,73,101,144,135,135,133,132,130,130,138,139,142,138,168,136,56,143,149,123,109,62,102,153,128,128,134,119,71,78,134,140,138,137,135,133,131,131,140,141,142,142,179,124,60,145,144,117,98,53,132,111,115,137,91,55,94,138,142,139,139,138,136,134,133,132,141,143,144,149,177,94,60,158,123,121,103,65,84,79,103,88,57,109,152,142,141,140,140,139,137,135,134,133,142,144,146,147,170,147,63,122,112,110,86,55,57,71,49,69,122,149,144,144,142,141,140,140,139,137,135,133,144,147,150,147,165,165,92,64,81,85,61,47,71,59,68,147,150,145,145,145,143,142,141,141,140,139,137,135,147,148,151,150,159,164,133,88,73,76,55,45,71,61,131,157,148,147,146,146,145,143,143,141,141,140,138,136,149,150,152,152,153,183,165,120,73,61,61,59,56,120,151,133,137,150,151,149,148,146,144,143,142,141,139,138,150,152,153,154,155,184,164,113,68,54,52,62,64,100,101,109,115,120,130,136,142,150,146,144,144,142,140,139,152,152,155,156,161,182,155,105,58,48,47,62,68,76,108,114,141,134,132,136,137,102,137,149,145,143,142,140,154,154,157,154,171,181,163,114,64,43,44,62,71,67,85,61,96,118,114,129,127,85,123,154,145,144,143,141,154,156,158,156,181,176,160,107,69,46,43,53,53,47,68,72,125,127,110,127,153,108,100,156,145,145,143,142,155,158,156,168,180,168,156,104,69,42,36,46,38,112,162,156,164,160,151,158,122,72,144,152,149,147,145,142,157,159,156,181,173,170,154,105,62,41,39,54,62,72,137,171,153,124,128,139,60,106,164,150,151,149,147,145,157,158,164,186,170,167,146,87,55,37,51,58,67,73,78,116,122,134,128,97,32,138,159,153,152,149,148,147,160,154,185,182,165,166,130,75,55,44,70,84,93,90,74,84,118,127,109,50,63,157,157,155,153,152,149,149,159,71,101,174,176,152,115,76,55,59,81,94,95,83,78,79,108,89,56,92,156,159,158,158,154,152,151,148,88,41,36,67,141,143,109,83,56,65,89,86,80,64,75,64,48,66,131,168,161,159,160,158,154,152,151,149,49,44,43,35,41,77,94,64,43,53,75,73,64,56,48,37,85,160,170,162,161,160,159,158,156,154,153,152,53,40,36,39,35,31,20,15,19,27,40,50,44,34,91,148,173,167,163,165,165,163,161,159,157,154,153,153,42,36,34,33,29,35,10,0,9,8,11,15,28,111,177,172,167,167,166,166,165,164,162,159,158,156,153,153
6,179,180,180,182,182,183,184,183,184,184,186,185,184,184,182,181,182,182,181,180,180,179,179,177,175,176,174,173,180,181,182,183,184,185,186,186,186,186,187,186,186,186,183,182,183,183,182,182,180,180,180,179,177,176,177,176,181,184,184,185,186,186,187,187,187,187,187,186,187,187,185,184,184,183,183,183,182,182,181,180,179,178,177,177,182,184,186,185,187,188,187,187,189,188,188,188,187,187,186,186,186,185,184,184,182,183,182,181,180,179,178,177,184,186,187,187,188,190,190,191,191,190,190,189,188,188,187,187,186,187,187,185,184,184,181,175,177,185,177,176,185,186,187,188,189,190,191,191,192,191,190,190,190,190,188,188,188,187,186,183,180,172,167,152,180,200,164,169,186,187,188,190,192,192,192,192,192,192,193,193,191,189,186,181,173,166,169,174,169,161,157,145,160,172,144,169,188,189,190,192,194,196,195,194,193,192,187,185,183,179,169,159,140,143,151,164,154,142,125,116,116,133,160,180,189,191,192,194,195,197,197,196,194,186,164,159,147,151,162,155,143,122,128,128,115,104,106,125,147,171,182,182,191,193,194,195,196,198,198,194,189,180,168,164,133,98,116,114,102,87,97,108,129,148,173,185,186,186,184,183,193,195,196,198,199,198,194,179,179,181,181,166,120,77,64,64,74,98,140,176,189,191,189,189,189,187,185,185,196,197,198,199,196,190,185,176,171,176,179,154,107,74,63,71,141,177,193,196,195,193,192,191,189,188,187,186,197,197,196,194,189,184,179,173,165,171,171,161,138,88,65,72,163,199,195,196,196,195,195,193,190,188,188,188,197,196,194,190,184,176,174,171,166,168,172,173,153,101,68,65,89,188,198,197,196,195,195,193,192,190,190,189,194,195,196,188,180,174,173,173,169,170,172,169,154,111,70,66,65,133,201,200,198,197,195,194,194,192,192,191,203,204,198,188,180,175,172,173,171,167,170,171,164,132,77,63,65,79,184,202,199,198,197,195,195,194,193,191,210,205,193,185,183,176,172,171,173,173,176,175,165,130,82,64,61,70,181,203,201,200,199,197,196,195,194,193,206,197,188,187,182,175,171,170,169,163,161,156,142,115,86,68,60,119,204,202,201,201,200,199,198,197,195,193,208,194,183,183,173,171,174,168,162,152,145,140,127,105,90,77,61,117,207,204,203,201,201,200,199,199,197,195,209,200,180,168,167,171,174,170,160,149,140,138,124,98,89,88,71,74,188,208,205,203,202,200,199,200,198,196,188,190,169,154,157,165,166,162,151,137,122,114,95,83,84,92,74,76,188,209,207,205,202,201,200,200,199,197,91,133,141,135,143,153,152,142,127,112,99,86,58,67,83,90,82,146,208,209,208,206,204,203,201,202,201,199,45,59,91,108,120,132,129,115,99,88,81,72,63,77,91,107,165,207,210,209,208,207,206,203,202,202,201,200,42,43,44,52,66,85,93,89,106,129,148,125,107,112,146,189,211,212,210,209,208,208,207,205,205,203,202,200,38,40,38,21,18,27,32,54,182,213,215,211,205,206,212,214,214,213,211,210,209,209,209,207,206,204,202,201,34,34,40,30,12,14,11,96,212,217,217,216,215,215,214,214,213,212,211,212,210,209,208,207,206,204,202,201,31,30,37,35,12,13,23,169,219,216,217,216,215,215,214,214,213,212,211,211,210,209,208,207,206,204,203,202,28,28,38,37,14,10,73,211,216,216,216,216,216,216,215,215,214,213,212,212,211,210,209,208,206,205,203,202
1,106,87,74,68,71,64,21,69,90,103,115,121,130,135,137,140,144,148,150,152,155,157,159,161,162,163,164,164,108,84,79,67,77,56,26,74,93,102,129,135,101,133,141,145,146,150,151,154,156,159,160,163,165,166,165,166,109,83,84,67,84,48,32,78,94,108,137,154,84,110,133,124,151,151,154,157,158,161,164,166,167,167,168,168,109,84,87,67,90,41,40,77,116,145,103,155,103,105,142,85,136,156,156,158,160,163,166,168,168,169,170,169,108,86,89,68,93,33,48,78,126,153,95,152,118,106,156,90,107,162,157,160,163,166,168,169,170,171,171,171,105,86,90,70,95,26,54,82,123,162,102,143,136,103,158,114,90,159,159,162,166,168,170,171,172,173,172,173,103,90,89,74,94,23,61,81,121,166,100,145,163,113,141,133,84,146,164,165,167,168,171,172,174,173,174,174,101,94,88,80,88,21,69,106,114,172,118,141,169,115,141,158,93,125,170,165,167,170,173,174,174,175,175,175,99,98,84,85,82,16,100,150,103,175,134,125,162,118,138,168,109,105,169,165,168,171,174,175,176,177,176,177,97,100,82,93,74,17,110,146,98,167,137,114,160,125,122,163,121,98,167,168,170,172,175,176,177,177,178,178,97,102,78,99,64,23,108,148,92,158,144,103,165,139,112,166,131,94,162,170,171,174,176,177,177,178,180,180,98,105,76,104,54,27,107,160,95,156,158,95,153,151,107,170,140,92,154,172,172,174,176,177,178,180,181,181,99,107,76,110,45,34,103,174,107,136,168,99,116,153,88,147,147,88,144,176,172,175,177,178,179,180,181,181,104,109,76,113,36,42,93,164,109,113,169,102,105,148,102,146,150,89,124,179,172,175,177,178,179,181,182,181,107,106,79,112,29,50,86,157,129,99,152,132,132,134,147,154,121,87,103,178,172,175,177,179,180,180,181,180,109,104,83,108,23,57,81,159,141,96,144,152,128,116,137,149,107,75,86,168,175,176,178,179,181,181,181,181,111,101,88,105,19,61,80,154,134,140,145,145,150,135,167,175,120,73,63,152,178,175,178,180,181,182,183,182,116,100,93,100,18,66,81,155,155,157,128,133,142,141,166,162,126,93,58,129,182,175,179,181,182,182,183,182,121,97,103,97,17,68,83,167,166,138,119,112,124,132,137,144,147,119,73,96,181,177,181,181,182,182,183,184,126,95,110,89,18,69,80,158,159,125,106,119,125,140,164,160,162,146,104,79,169,178,178,179,180,180,182,182,128,92,117,78,20,69,73,139,158,121,105,122,127,147,177,176,167,160,124,85,162,176,175,176,178,179,179,177,128,89,125,66,20,68,73,111,160,131,112,112,134,147,175,184,163,149,116,91,164,173,174,175,177,178,183,206,127,87,129,57,32,71,75,89,149,139,120,110,131,146,173,181,160,138,105,81,163,173,174,176,179,175,184,216,126,90,123,101,83,97,103,101,134,151,132,115,121,141,167,174,155,133,100,80,149,156,158,160,159,161,152,154,124,90,125,108,57,64,66,64,79,146,138,128,119,132,161,165,142,126,95,75,87,88,91,86,111,156,155,147,121,93,129,102,61,67,69,72,67,100,144,134,128,124,144,153,132,117,89,76,87,88,85,89,153,159,152,143,117,94,130,100,61,67,68,69,72,67,119,141,134,122,119,133,120,102,83,79,85,86,80,127,168,156,149,141,111,90,131,95,58,65,66,67,70,66,87,142,128,113,108,111,106,95,75,79,84,82,86,158,163,153,143,138
13,135,137,142,150,157,161,165,166,169,172,177,179,180,183,186,187,188,189,188,190,191,189,190,189,190,191,190,189,138,140,145,151,158,162,165,167,170,174,178,180,182,185,187,188,189,190,190,192,192,192,192,191,193,194,193,191,140,142,147,154,161,164,167,169,173,176,179,182,185,187,189,190,190,192,193,192,192,193,194,194,195,195,195,193,142,144,150,156,163,167,170,172,174,178,180,183,186,189,190,187,192,187,191,200,200,197,195,196,197,196,195,194,144,146,151,158,163,168,171,175,178,180,183,185,189,190,197,221,218,174,130,169,184,196,203,197,198,198,197,197,145,148,154,160,166,170,173,177,180,182,186,187,190,188,191,211,222,172,109,83,131,133,175,204,198,200,200,199,145,150,156,161,167,172,175,178,181,186,188,194,205,158,138,150,208,177,116,78,144,119,95,204,201,201,200,200,146,150,157,162,169,173,175,180,183,188,177,216,232,194,151,104,165,211,147,83,150,117,94,203,203,202,201,201,146,151,159,164,170,174,178,180,184,203,150,131,219,225,181,111,87,207,154,84,157,129,105,210,202,204,203,202,150,153,159,165,172,175,179,179,214,221,171,107,131,239,198,136,57,107,134,72,188,137,141,214,203,205,204,203,151,154,161,168,172,177,176,210,212,219,200,145,71,201,192,128,63,41,72,73,159,110,164,217,204,207,205,205,152,156,164,171,175,175,195,218,162,194,209,158,65,151,183,115,62,35,83,126,140,112,113,212,208,208,207,207,153,158,167,172,177,178,224,216,170,171,186,134,68,118,181,137,58,72,153,161,131,114,97,167,219,207,210,208,157,162,169,175,176,192,217,188,147,151,167,111,55,86,195,152,65,156,192,166,126,97,104,115,217,209,210,210,158,164,172,179,178,206,228,195,157,128,147,111,51,44,177,134,120,208,187,159,125,102,89,110,218,211,211,211,159,166,176,183,181,210,234,201,172,118,113,103,53,92,186,185,205,198,172,141,119,98,68,159,224,212,214,213,161,168,179,186,183,218,241,211,179,134,107,110,142,192,218,221,213,186,158,130,112,84,85,210,215,214,214,214,162,172,181,188,186,224,244,222,179,155,164,157,173,197,215,210,203,176,147,127,102,65,124,228,212,216,216,216,167,176,185,191,190,226,235,231,191,175,178,149,188,200,210,211,188,162,138,116,94,56,170,228,216,217,217,217,171,181,189,195,196,216,228,236,206,188,180,160,193,213,200,195,169,145,124,108,73,90,225,220,220,219,219,219,174,183,192,199,201,204,230,229,215,195,178,166,183,208,196,171,154,132,120,97,76,199,230,222,222,221,221,221,177,186,194,199,205,201,222,221,217,203,191,178,174,197,191,163,141,121,113,75,172,238,223,225,224,224,221,220,179,188,196,201,207,205,210,228,219,214,208,188,171,188,183,152,119,116,85,132,238,225,228,229,226,223,231,231,181,191,200,205,210,207,203,229,212,207,201,180,164,175,166,140,107,103,93,218,233,228,230,229,227,234,197,137,183,194,203,208,211,211,207,222,185,185,194,182,166,168,154,134,114,80,159,243,230,232,229,232,238,159,65,40,185,195,204,208,213,213,207,229,194,197,206,197,170,156,147,135,114,77,200,235,235,233,243,241,148,57,57,32,186,197,203,208,212,215,203,234,207,209,217,197,176,152,146,134,112,81,217,236,235,239,188,104,50,58,69,34,187,198,205,210,212,218,205,230,226,227,225,199,180,155,144,135,107,83,221,233,244,188,70,48,34,46,67,51
20,140,142,144,146,149,152,154,156,157,158,159,161,163,162,165,165,165,166,167,167,168,168,168,167,168,168,168,168,142,144,146,148,151,153,154,157,158,159,160,162,163,164,166,153,158,166,167,168,169,169,170,170,170,170,170,170,143,145,147,150,153,154,157,159,159,160,162,164,166,164,176,140,126,146,151,171,172,173,173,172,171,171,172,171,144,147,149,150,153,155,158,159,160,162,165,166,167,166,186,144,146,148,114,170,173,173,172,172,172,172,173,171,145,147,149,152,154,157,159,160,161,163,166,167,167,168,182,144,159,157,109,166,173,174,174,174,174,174,174,173,146,148,151,153,156,158,160,161,163,164,166,167,167,172,192,156,165,162,115,165,176,176,176,176,176,175,175,175,147,149,151,153,156,158,161,163,165,165,166,167,169,180,189,154,179,164,120,162,177,177,177,177,176,177,177,175,147,150,152,155,157,159,161,163,166,166,161,160,170,184,172,146,182,161,117,158,178,178,178,177,176,177,177,176,148,150,153,155,158,161,162,164,167,170,156,122,150,187,164,137,185,153,112,160,180,180,180,178,178,179,177,176,148,151,154,157,159,162,164,164,165,175,156,131,110,161,152,134,183,152,112,169,180,180,181,179,179,178,177,177,150,152,154,157,160,162,164,169,155,152,167,156,144,121,114,118,161,145,111,173,181,181,182,180,180,180,179,178,150,152,155,159,160,161,173,185,152,127,165,173,167,133,95,90,133,133,107,174,181,181,182,181,181,180,180,181,151,153,155,158,160,162,176,160,164,142,120,144,174,157,117,92,111,113,102,177,182,183,183,183,182,181,181,181,151,153,157,160,162,162,179,157,134,122,79,84,164,179,145,98,97,102,98,176,183,184,184,184,183,182,182,181,151,153,157,160,162,164,178,150,129,121,91,95,138,191,166,119,91,95,96,176,184,184,184,183,182,182,182,182,152,153,156,161,162,164,184,175,149,126,105,113,127,198,179,141,98,87,89,177,184,184,184,183,182,182,182,181,152,154,157,161,163,164,192,171,139,122,115,126,143,198,181,152,110,81,86,176,185,185,185,184,183,182,183,182,153,156,157,161,165,165,192,167,142,131,132,137,182,205,174,148,114,81,86,178,186,186,186,185,183,183,182,183,154,156,159,162,165,167,197,173,150,139,141,147,208,204,174,145,118,84,90,182,186,186,186,185,184,184,184,183,155,157,159,163,166,167,199,179,159,139,153,166,210,195,176,144,118,87,99,185,186,186,186,185,184,184,185,184,155,157,159,163,166,168,201,185,164,151,152,178,205,184,171,139,116,86,112,186,186,186,186,185,185,186,185,184,154,157,160,164,167,167,198,187,169,169,153,185,200,182,168,141,110,86,123,186,186,186,186,186,185,186,185,185,154,157,161,164,167,167,188,193,181,182,167,174,191,174,163,142,107,85,123,187,187,187,187,187,186,187,186,185,154,158,161,165,166,168,177,194,187,186,174,169,181,168,162,141,107,87,128,186,187,187,187,187,187,187,186,186,153,157,161,165,166,168,171,192,188,179,165,168,170,164,163,151,108,87,143,187,187,187,187,187,187,187,187,186,153,157,160,164,167,168,170,190,180,169,156,159,166,164,161,150,111,90,165,187,188,188,188,187,187,187,187,186,153,157,162,164,167,168,170,189,174,165,156,156,165,165,157,146,107,98,183,188,189,189,188,188,188,188,188,187,153,158,162,164,167,169,171,193,187,178,162,160,168,159,150,138,100,120,189,189,189,189,189,188,188,188,188,188
13,173,175,179,183,186,190,193,195,198,199,200,202,204,203,205,205,203,207,209,206,207,207,206,207,208,208,208,208,174,178,182,184,187,192,194,197,200,201,203,205,205,205,206,205,205,202,199,210,208,209,208,209,210,210,211,211,177,179,184,187,189,193,196,198,201,201,203,207,207,206,210,208,212,185,128,142,217,211,211,210,210,210,212,212,178,182,185,189,191,195,197,199,202,202,205,207,206,208,208,219,230,186,123,83,219,205,215,216,210,212,213,214,181,183,186,190,193,197,201,203,203,204,207,206,213,184,150,173,225,180,120,78,147,131,132,188,221,215,216,215,182,184,187,192,195,199,201,203,206,208,209,217,246,182,132,119,214,170,124,53,128,150,86,95,224,215,217,215,182,186,189,193,197,201,202,205,209,209,207,205,228,211,155,126,203,160,101,79,196,167,93,67,199,223,216,217,184,187,191,194,199,202,205,208,207,209,210,149,112,171,172,112,198,189,84,130,212,153,96,68,203,224,219,221,185,189,193,195,200,203,206,208,209,227,208,156,109,103,169,98,219,206,100,152,202,143,90,73,216,223,222,222,187,190,195,199,203,205,207,207,224,209,210,177,130,87,152,113,124,146,67,150,232,165,78,85,228,223,225,224,188,192,197,200,203,206,208,213,221,170,202,180,128,75,123,140,38,11,60,164,205,136,49,113,236,221,225,227,188,193,197,201,203,207,208,220,221,174,167,173,128,67,100,135,71,0,79,182,157,99,57,168,239,223,225,226,189,193,196,201,204,208,212,227,215,172,146,185,119,75,85,120,78,52,139,181,177,165,122,117,235,227,227,227,191,193,197,201,205,208,210,233,216,180,136,174,116,74,75,142,98,128,225,182,158,141,119,74,191,239,226,228,192,194,197,202,207,209,211,233,212,177,132,153,129,91,78,179,134,182,215,194,160,121,99,75,198,239,227,228,192,195,199,203,207,210,215,233,214,189,163,131,127,113,56,166,192,225,209,181,151,110,88,89,225,232,231,230,193,197,201,204,208,210,217,235,217,194,175,147,111,93,108,216,224,230,204,171,139,104,80,108,239,232,235,233,193,197,200,203,207,210,215,231,216,194,179,173,137,127,146,218,225,222,187,152,122,96,73,162,243,231,234,233,192,196,200,203,207,210,212,222,216,202,186,180,149,128,127,208,229,207,165,134,111,86,97,228,233,232,233,232,192,196,200,204,208,211,213,214,214,205,187,183,159,132,135,201,223,188,154,122,101,70,149,242,229,232,232,232,194,197,200,205,208,211,214,215,217,209,188,180,163,135,140,186,201,166,140,112,93,72,197,235,231,232,233,233,195,199,201,207,208,209,213,216,219,207,185,176,156,127,141,178,164,147,123,101,82,113,235,229,233,233,234,234,196,198,201,205,209,210,213,216,219,195,175,162,134,118,150,162,138,134,108,94,74,189,239,230,234,234,234,235,195,197,201,203,209,213,209,215,220,184,173,150,129,132,156,156,136,124,106,78,136,237,231,233,234,234,235,235,199,203,207,210,214,220,207,226,221,188,181,151,136,150,167,141,130,103,89,88,212,236,230,232,233,233,234,233,153,160,168,176,181,181,192,231,223,196,194,152,145,164,154,126,114,92,66,157,244,235,238,239,242,243,242,240,93,96,98,99,102,90,151,226,203,194,193,156,148,160,145,113,95,81,73,123,148,149,156,156,160,169,172,184,107,109,107,105,108,91,163,223,189,178,173,148,140,157,143,97,88,74,80,100,100,101,101,111,133,150,151,166
18,185,186,188,190,192,194,194,193,196,196,196,197,197,195,194,195,194,194,193,192,192,192,191,191,189,188,188,186,186,188,190,191,193,195,196,196,198,198,198,200,200,198,196,197,196,195,194,195,196,194,193,191,192,191,190,190,191,191,192,193,196,197,198,198,198,199,199,200,199,199,199,198,198,197,196,196,196,195,195,194,194,192,191,190,191,192,195,197,198,198,200,199,200,200,199,200,200,200,200,200,199,200,198,198,197,198,199,194,195,193,192,192,191,193,196,197,199,200,200,200,200,201,200,202,202,202,202,202,201,200,201,199,198,196,192,197,196,196,194,193,193,194,197,199,199,200,202,201,202,203,203,203,204,203,204,203,202,200,201,196,221,179,143,205,197,197,196,195,195,198,198,200,200,201,204,204,204,205,205,205,204,204,204,204,208,207,202,205,239,181,99,193,201,199,197,197,197,199,200,201,202,204,206,207,206,207,206,207,207,205,210,190,159,185,173,164,238,204,109,145,212,197,200,199,198,199,201,203,204,206,207,208,207,209,208,209,208,208,227,210,158,132,142,163,237,216,145,88,180,209,198,200,199,201,203,206,206,207,207,209,210,211,212,209,213,198,156,185,197,150,115,144,214,214,163,126,110,187,206,200,200,201,204,206,206,208,209,212,212,211,210,222,220,194,153,101,172,166,118,93,130,187,175,148,116,109,209,202,201,204,205,208,208,210,211,212,214,209,231,240,236,201,171,120,117,166,114,81,73,140,198,151,129,89,198,207,203,205,206,208,210,212,211,213,213,217,238,218,244,206,175,133,86,115,100,77,60,164,208,173,134,96,201,206,205,206,208,210,213,213,213,216,211,242,240,196,221,195,182,132,87,88,91,78,61,139,205,188,138,91,197,209,206,207,209,211,213,213,215,213,229,239,221,201,210,165,144,112,84,106,84,62,63,141,197,191,142,90,198,211,207,209,211,212,213,216,213,219,249,227,189,164,196,122,107,97,99,126,80,100,124,157,198,177,133,87,197,214,208,211,211,212,214,216,215,221,255,240,211,164,141,136,129,59,98,134,163,191,195,155,160,155,130,82,187,215,208,211,213,215,217,219,216,230,255,243,223,176,130,145,120,36,150,220,220,196,180,164,121,137,132,83,174,220,210,212,213,216,218,221,216,242,255,240,203,168,154,142,103,122,241,228,215,192,157,158,127,117,125,78,187,221,212,214,215,216,219,220,220,247,252,230,189,179,152,119,125,220,231,221,204,185,158,145,133,108,98,103,217,213,212,213,215,218,220,219,224,250,251,225,191,186,151,123,187,237,225,212,199,181,154,137,126,106,76,168,224,211,213,214,215,218,219,220,227,250,247,226,197,203,147,170,201,226,221,202,194,177,140,130,117,91,90,216,217,216,215,215,216,219,221,221,228,246,242,224,212,196,154,156,200,205,211,191,183,160,133,119,110,71,148,230,215,218,214,215,217,220,222,220,228,246,240,228,219,179,144,142,186,193,191,185,172,148,126,109,88,86,214,221,219,219,214,216,218,220,222,221,232,241,236,233,203,154,125,157,171,187,182,171,158,133,112,96,63,169,230,218,221,220,216,218,220,218,222,222,237,234,223,215,183,152,147,167,173,182,178,160,144,120,101,66,128,229,218,220,222,220,217,218,221,222,223,222,245,243,241,226,213,195,176,158,172,182,167,143,124,111,75,106,225,222,221,222,222,220,215,220,215,206,223,227,252,243,242,230,210,192,174,147,160,175,151,128,115,90,86,209,228,223,222,222,222,222
0,195,195,195,194,196,196,196,197,196,197,197,199,197,197,196,195,196,196,197,198,197,197,196,198,196,195,195,195,196,195,195,195,197,199,198,200,199,198,195,197,197,197,197,197,197,196,198,199,197,198,198,198,198,196,196,195,197,196,197,198,198,200,200,198,199,198,197,199,199,200,200,199,199,199,199,199,200,198,199,198,199,196,196,195,199,198,199,199,200,201,199,198,193,176,184,196,192,195,198,197,195,197,201,200,201,200,199,199,200,198,196,196,199,200,200,200,201,201,199,202,197,142,104,149,162,149,159,180,172,150,175,189,187,194,197,199,199,200,199,198,199,201,201,202,201,200,201,197,194,138,74,97,162,128,88,143,163,107,84,138,126,116,145,190,199,198,200,199,200,201,201,201,201,198,194,172,179,149,102,76,147,111,71,118,138,92,60,121,116,79,73,129,193,200,200,200,201,202,202,202,201,195,185,159,145,166,129,65,112,109,58,108,127,82,57,128,116,74,68,115,137,201,202,201,202,203,203,203,202,196,185,161,127,130,122,59,99,103,45,97,141,91,57,134,133,82,78,130,103,154,204,202,202,203,203,204,204,196,184,161,126,101,89,61,97,91,36,101,136,86,67,149,147,123,109,115,104,87,198,202,203,204,204,204,203,195,187,176,150,108,84,73,85,72,50,90,118,96,140,160,149,133,110,91,79,75,193,201,204,205,206,206,204,198,193,183,170,141,96,75,69,78,91,97,127,161,173,167,154,128,107,90,73,87,199,204,205,206,207,207,206,199,198,189,180,166,131,83,77,85,95,123,166,179,182,173,155,123,99,85,70,111,207,205,206,206,207,207,206,195,204,197,190,182,158,117,107,100,108,149,176,185,190,178,151,119,95,81,65,155,208,206,206,206,207,207,207,187,203,204,198,192,174,148,136,124,116,152,169,186,194,178,145,114,92,76,83,193,207,205,207,207,207,207,208,188,192,207,208,201,184,167,157,144,133,146,171,190,187,171,135,104,94,73,134,206,207,207,206,208,208,208,208,197,178,203,212,206,192,179,167,157,146,142,160,183,181,160,127,97,90,70,180,208,207,208,207,208,208,207,207,209,167,192,209,210,200,185,175,166,151,141,147,166,166,141,113,92,79,90,202,208,207,207,208,208,210,209,208,211,181,174,205,211,201,181,175,164,151,142,141,153,151,121,99,84,67,142,210,207,208,209,209,209,209,210,212,208,205,165,202,208,192,172,175,161,152,143,128,134,137,111,92,74,93,197,209,208,209,210,210,210,210,211,211,209,209,176,205,208,195,181,186,171,156,140,119,120,122,106,84,72,171,209,211,211,211,211,210,210,210,211,211,210,211,182,205,211,203,187,195,176,154,139,118,111,113,102,74,126,206,210,211,213,212,211,210,210,210,211,211,211,211,176,200,211,209,192,193,173,152,136,119,108,108,99,65,172,209,210,211,214,212,211,210,210,210,210,210,212,212,176,198,212,209,193,185,169,150,134,122,107,101,93,71,193,209,211,211,213,211,211,209,210,210,210,211,211,208,188,201,210,207,195,182,168,152,134,122,108,94,87,81,207,211,211,211,211,211,212,209,210,210,210,211,211,203,194,207,201,202,191,178,166,152,134,120,106,89,85,95,209,210,211,211,211,211,211,209,210,211,212,211,211,199,193,200,199,200,184,171,162,150,133,116,100,86,79,118,205,207,211,211,211,211,211,209,210,211,211,210,212,196,188,198,201,199,182,164,154,146,131,111,91,81,71,148,203,208,212,212,212,211,212
6,151,151,151,151,151,151,151,151,151,150,150,149,148,148,147,148,146,146,145,144,142,141,142,140,139,139,137,135,152,153,153,153,153,153,152,153,153,151,150,150,149,150,149,148,147,148,146,145,143,143,143,142,141,139,138,137,155,155,155,155,155,154,154,155,154,153,152,153,152,151,150,149,148,149,147,146,145,144,144,143,142,140,140,138,156,157,157,157,156,156,156,155,155,155,155,154,153,152,151,150,151,149,148,147,147,146,145,143,141,141,140,138,157,158,158,157,158,158,157,157,156,156,155,155,155,154,153,153,152,150,149,149,147,147,146,144,143,142,141,140,157,160,161,160,161,161,159,159,158,157,156,156,157,154,154,155,153,152,150,150,149,148,147,146,144,143,141,141,159,161,162,163,163,162,161,161,160,158,157,156,157,156,156,156,155,153,153,152,152,150,149,150,147,144,142,142,161,163,163,163,163,163,162,162,163,164,164,163,159,160,160,160,159,156,153,151,148,145,136,133,143,144,145,142,162,165,164,164,164,163,164,163,158,147,142,147,147,136,127,122,115,126,127,126,117,119,98,112,157,129,131,145,164,165,166,167,166,166,157,141,132,114,101,95,97,123,113,100,90,100,123,125,114,112,105,105,136,96,128,149,165,167,171,168,157,144,120,115,123,121,120,98,45,81,106,103,71,90,92,88,79,61,63,71,89,119,148,146,169,166,155,140,128,121,115,110,115,123,116,68,32,18,35,38,39,57,67,82,87,107,121,133,146,153,149,147,152,141,129,123,116,111,109,101,106,113,102,63,26,17,23,54,89,126,152,157,161,164,161,159,155,151,150,149,143,138,129,119,113,113,112,107,107,110,113,94,42,6,87,170,166,169,163,161,159,158,158,156,155,153,151,149,153,138,129,120,116,114,114,108,107,110,113,91,42,15,37,167,164,163,162,161,160,160,160,157,155,155,153,152,140,132,129,122,115,114,113,114,110,111,109,96,44,23,7,122,175,164,165,164,162,161,160,158,156,155,155,152,131,129,126,119,117,115,115,116,117,120,118,106,56,22,9,70,178,164,165,164,163,162,161,160,158,156,154,153,141,119,117,120,126,122,116,109,104,105,107,88,50,24,16,21,166,170,165,165,164,163,162,160,159,156,156,155,134,113,114,125,128,128,114,108,101,98,90,69,48,31,11,57,173,168,167,166,166,164,164,162,161,158,156,157,110,101,116,122,120,117,109,99,91,98,88,55,49,40,10,145,178,167,167,167,168,167,164,162,161,161,158,156,67,84,100,115,108,98,89,78,70,69,55,45,44,48,14,151,174,168,168,168,166,165,164,163,161,159,158,155,7,33,61,91,87,74,64,57,50,28,12,29,52,52,5,134,178,167,169,167,166,165,164,162,160,158,157,155,3,0,0,17,42,45,30,25,26,18,16,42,48,34,26,156,173,169,169,168,167,165,164,163,161,159,157,156,7,0,0,0,0,0,53,83,61,30,28,51,65,120,156,173,170,171,169,169,168,167,164,163,163,160,157,156,2,0,0,0,0,89,192,184,174,139,119,132,166,181,177,172,171,171,169,169,168,167,165,164,163,160,158,156,0,2,0,0,0,179,180,176,179,184,185,183,178,173,173,173,172,171,170,169,167,165,165,164,165,168,170,168,5,0,0,0,109,191,175,178,179,177,175,175,175,176,175,174,172,171,171,173,174,175,170,165,157,125,95,97,6,0,0,34,193,176,179,177,178,177,177,177,175,174,175,173,172,173,171,145,110,95,77,55,33,5,0,0
2,200,204,207,208,209,210,211,212,212,211,211,211,209,209,210,209,209,209,210,207,202,200,199,198,197,195,193,191,204,205,208,209,209,212,213,214,213,214,214,214,217,217,214,212,210,204,194,202,212,204,201,199,197,195,195,192,205,206,209,210,211,213,213,215,215,215,216,201,175,176,184,182,169,161,143,120,160,201,208,204,199,198,196,194,206,209,212,213,213,214,215,216,215,217,216,193,165,162,168,170,161,147,137,108,88,128,160,183,204,199,198,196,207,211,212,213,215,216,218,217,218,221,204,180,183,182,181,177,164,136,113,119,123,118,123,134,205,199,199,196,207,210,212,215,216,217,218,218,220,216,182,173,188,190,178,167,163,137,126,134,151,147,110,122,206,201,199,197,208,211,214,216,216,217,218,219,221,211,192,184,176,161,147,172,183,112,93,114,124,117,107,175,209,202,200,199,210,213,215,217,218,219,219,220,222,212,186,185,177,160,151,147,119,134,192,165,142,150,203,213,203,203,201,200,211,214,214,216,218,220,222,222,220,209,206,192,169,146,118,113,136,207,225,222,220,218,210,210,213,212,207,200,212,214,214,217,221,222,221,221,199,199,195,172,136,74,140,219,224,222,216,214,214,211,216,196,156,138,182,206,212,214,217,218,220,221,223,218,191,188,170,138,85,43,147,237,219,222,220,217,214,217,197,129,95,87,121,208,212,215,218,220,221,223,221,210,183,169,134,84,65,62,136,234,219,223,220,217,221,201,139,105,99,92,116,211,213,217,217,220,222,223,217,209,192,160,95,59,73,65,152,234,219,222,218,222,208,141,111,110,100,80,165,213,215,217,219,220,221,223,217,211,191,159,98,63,76,65,134,242,221,221,223,224,150,93,95,102,86,113,213,204,214,217,221,222,222,223,219,210,187,152,91,67,77,70,68,179,229,231,223,170,112,80,82,87,83,193,212,205,215,218,220,223,223,223,215,209,186,140,86,82,77,71,72,72,123,185,143,105,99,100,82,81,179,217,207,207,215,217,221,223,225,223,215,210,185,138,103,91,75,75,79,83,80,88,83,83,96,94,88,186,222,212,210,207,215,217,222,223,225,223,214,206,185,149,109,89,74,75,76,84,90,94,87,89,98,83,183,223,213,213,211,207,214,218,221,223,225,223,208,199,185,147,114,95,73,74,76,83,89,96,95,88,73,151,231,214,215,213,211,208,214,217,221,223,225,222,204,196,180,145,124,94,70,74,79,83,89,98,103,82,97,218,220,216,214,213,211,209,215,218,222,223,225,221,205,196,175,150,121,93,73,73,80,86,91,96,99,77,187,229,217,218,216,213,213,210,215,219,222,223,226,219,200,203,188,149,119,100,74,72,82,88,94,100,84,101,228,221,222,219,217,215,213,210,215,218,221,223,228,214,199,213,193,147,118,100,76,70,84,90,96,99,66,169,232,219,220,218,216,214,212,210,213,216,219,221,224,210,203,212,184,144,117,103,80,67,85,92,95,74,104,227,221,219,218,216,214,212,210,209,212,215,216,219,223,206,204,204,176,137,115,104,83,69,83,91,81,73,199,228,219,218,217,215,214,212,209,208,212,215,216,218,223,205,201,195,166,134,118,103,84,70,82,83,64,173,231,218,220,217,215,214,213,211,208,206,212,214,216,218,221,202,197,181,154,131,114,99,81,72,73,73,166,233,220,221,219,217,215,215,213,210,209,207,209,212,216,218,218,201,186,173,148,124,111,96,84,68,81,193,231,221,222,220,217,216,213,212,210,209,207,205
2,179,178,180,179,179,181,180,179,178,177,177,178,178,178,174,176,174,173,171,171,171,171,174,90,38,43,39,42,182,181,182,181,182,183,183,182,181,182,181,183,179,179,181,174,180,179,180,176,176,172,180,126,41,49,33,45,185,185,186,185,186,186,185,186,186,187,186,184,184,190,176,107,114,162,148,182,181,176,182,149,47,31,15,42,188,189,190,191,189,191,191,190,190,185,190,192,192,156,102,71,46,89,66,144,183,179,180,168,65,12,21,53,193,192,193,195,193,193,195,194,191,200,209,197,109,66,51,46,43,58,49,45,150,190,180,190,95,0,8,40,196,196,197,197,196,196,195,195,197,212,199,130,54,42,39,33,28,37,49,36,144,194,182,192,127,99,64,21,199,199,200,201,200,201,199,193,206,222,125,56,35,27,38,32,22,30,30,61,177,193,187,191,163,110,174,151,203,201,202,202,203,202,202,192,223,200,91,45,34,25,29,36,44,80,127,176,196,193,191,202,134,111,214,180,204,205,205,203,204,205,202,204,228,158,77,43,52,39,41,49,142,205,204,201,195,195,192,204,146,148,205,115,206,207,206,207,206,207,203,223,207,132,61,37,49,39,71,168,208,201,199,201,200,199,196,198,185,164,114,110,208,209,208,209,211,206,209,235,195,126,76,54,40,40,144,224,202,204,203,204,203,201,199,198,199,187,120,189,212,210,210,211,213,207,226,241,179,114,75,67,48,42,173,215,207,206,206,206,204,202,202,202,199,193,185,169,213,212,211,213,213,207,243,227,162,96,67,64,54,72,210,211,210,209,207,206,205,204,204,203,204,196,194,201,213,213,213,215,208,213,250,208,154,96,62,55,50,108,223,211,212,211,209,208,208,207,208,207,204,203,193,169,216,215,216,216,202,234,241,193,139,88,63,57,50,115,227,210,213,211,212,211,211,207,207,208,206,204,210,159,219,219,220,212,213,249,224,178,126,79,62,62,42,149,230,210,214,213,213,213,213,213,213,211,213,211,206,206,219,217,221,203,228,251,212,165,113,77,56,49,39,113,228,216,216,214,217,219,213,194,179,168,162,190,212,205,219,220,221,203,246,240,201,153,104,76,47,43,59,51,123,233,227,222,205,179,158,163,158,145,121,83,187,213,219,224,208,223,251,232,189,138,96,73,34,45,62,69,58,144,185,159,147,161,164,159,134,110,123,123,191,215,223,220,205,248,245,222,171,126,88,63,31,65,74,86,92,82,95,129,163,168,142,95,95,169,214,221,216,212,227,212,232,253,238,208,161,120,84,60,42,81,94,102,101,102,112,134,134,108,92,106,199,228,216,214,214,214,212,226,249,238,227,199,150,103,77,62,58,90,104,106,105,95,96,90,93,144,198,222,223,218,219,218,217,214,210,236,241,232,221,183,132,90,75,61,77,102,110,105,92,77,65,122,208,231,227,221,220,221,219,219,219,218,226,233,232,213,187,146,105,82,74,65,87,100,104,88,69,100,170,231,234,225,224,224,224,223,220,219,218,218,224,224,209,183,156,126,95,79,71,75,84,95,90,60,130,228,235,228,228,228,225,225,226,223,222,221,220,218,222,210,182,152,141,108,85,78,78,81,78,71,75,152,236,233,229,229,230,230,229,228,226,225,225,224,222,221,213,199,159,118,105,79,75,82,80,74,72,127,205,241,230,231,232,231,231,231,230,229,229,228,227,224,224,215,205,183,138,95,71,69,77,82,69,121,192,240,240,231,234,233,232,232,232,231,231,230,230,229,228,226,227,188
24,165,167,168,169,170,170,171,172,172,172,172,171,171,170,170,169,166,165,164,163,162,160,158,157,154,152,151,150,166,169,170,171,172,173,173,173,174,174,174,173,172,171,170,170,169,168,166,165,164,162,160,158,156,154,153,152,168,170,172,174,174,175,175,176,176,177,177,175,174,173,172,172,170,170,169,166,164,163,162,160,158,156,155,154,170,172,173,175,176,177,178,178,178,179,179,178,177,175,175,174,172,171,170,168,166,166,165,163,161,159,158,156,170,175,167,149,175,179,180,181,180,181,181,180,180,178,178,177,175,174,172,171,170,168,166,164,163,162,159,158,172,180,153,108,143,182,182,183,183,183,183,182,182,181,180,179,177,176,174,173,172,170,168,166,165,163,161,160,174,176,149,110,101,173,184,185,185,184,184,184,183,183,182,180,179,178,177,174,173,173,171,168,167,165,164,162,175,179,168,124,88,143,187,186,186,186,186,187,185,184,184,182,181,181,180,178,176,174,172,170,168,166,164,164,176,180,180,147,97,105,181,188,188,185,171,170,186,186,182,183,182,170,164,178,178,175,174,172,170,161,141,130,178,180,183,171,126,92,145,191,189,174,138,114,157,167,136,133,160,141,110,140,179,177,175,174,164,142,112,110,179,181,184,184,151,100,98,180,188,163,149,124,107,131,111,86,108,132,99,83,165,180,176,165,151,123,99,151,180,182,184,187,170,118,93,143,188,158,163,143,107,100,110,90,108,132,100,76,160,183,166,143,134,97,114,168,181,183,185,188,186,156,119,110,168,144,155,156,120,88,107,98,116,134,101,85,172,180,132,122,116,81,143,172,182,185,187,189,191,180,135,111,134,133,129,157,129,97,85,87,110,129,96,102,184,158,112,119,102,97,167,172,184,186,188,190,192,190,160,146,133,121,109,134,135,101,73,68,79,97,77,87,170,123,110,117,88,143,177,173,184,187,190,192,193,194,187,166,133,104,88,91,133,118,94,60,50,67,61,62,101,102,113,104,96,171,176,174,186,188,191,193,194,195,195,168,122,101,90,84,119,142,125,73,40,67,80,98,107,112,114,89,127,180,177,174,186,188,192,194,195,197,196,175,149,127,95,87,111,141,121,83,68,93,121,128,124,109,98,81,159,182,179,176,187,189,193,194,195,198,196,187,167,136,99,91,104,133,125,126,119,120,131,129,121,98,72,106,180,181,180,179,188,191,193,194,196,200,197,187,177,148,119,97,91,128,159,160,154,142,135,126,112,82,79,165,184,182,181,180,188,191,194,195,198,200,199,185,178,156,130,101,94,124,167,169,163,148,133,119,99,69,138,187,184,183,181,180,188,192,195,195,199,201,201,186,168,153,138,109,106,131,162,161,153,139,123,107,80,99,182,187,186,184,181,180,190,193,195,196,199,200,201,190,164,157,145,120,110,131,150,151,146,127,107,88,75,160,190,188,187,185,183,181,191,193,194,197,200,201,201,200,177,159,146,126,104,118,138,139,132,111,90,70,129,190,189,188,186,185,183,182,190,194,195,197,201,201,201,203,192,169,146,123,99,105,122,121,112,91,69,116,188,193,190,188,187,185,183,182,190,193,195,198,201,202,202,203,196,169,143,118,106,106,116,113,95,70,91,187,195,193,191,189,187,186,184,182,190,193,196,199,200,201,202,202,195,172,148,133,124,120,119,111,84,63,148,198,195,193,191,190,188,186,184,181,189,192,195,197,198,201,202,197,191,180,163,142,125,127,122,102,73,81,184,196,194,193,191,189,188,186,184,181
0,229,230,229,229,229,228,228,227,227,230,229,229,228,228,226,225,225,224,223,223,220,218,220,219,217,216,214,214,231,232,231,231,232,232,232,232,232,230,230,231,231,230,228,227,225,225,223,223,223,222,222,220,217,216,215,215,233,233,232,233,233,233,232,232,232,231,234,234,232,232,230,229,227,227,225,226,226,225,225,223,222,219,218,216,234,233,233,233,232,232,232,232,234,234,234,235,235,233,232,235,233,229,234,235,228,223,223,225,224,223,221,220,234,235,236,235,233,235,233,233,235,234,234,235,233,234,227,204,217,240,208,187,219,213,170,226,225,224,223,223,235,236,237,237,237,236,236,236,236,234,237,240,241,235,191,143,115,165,165,126,121,204,130,188,236,223,224,222,237,237,238,238,239,239,238,237,240,244,239,214,176,187,187,147,104,74,164,140,78,169,159,125,245,223,225,224,239,238,239,238,239,239,239,238,212,204,223,194,131,84,165,158,135,96,166,143,90,138,188,89,165,244,223,226,240,240,240,240,239,238,235,224,178,111,188,189,137,81,147,170,148,95,170,148,89,99,186,129,88,170,235,224,242,241,241,241,240,240,223,216,183,121,166,195,147,99,140,176,137,89,175,154,88,55,175,159,114,80,230,226,242,241,241,242,242,237,207,203,196,152,148,203,148,107,114,176,138,74,142,127,74,61,184,177,99,100,241,227,242,242,242,243,243,230,199,176,193,165,133,190,143,103,93,175,135,52,62,75,35,112,208,170,72,162,247,227,244,245,245,244,242,226,220,167,169,159,105,161,151,113,63,98,84,14,39,53,82,186,201,146,71,220,235,231,244,247,247,245,241,217,195,130,131,112,48,111,144,104,38,19,37,85,153,140,158,203,183,102,112,249,229,231,246,248,247,248,237,214,206,163,120,74,40,49,84,50,24,53,137,199,195,187,158,173,162,57,165,252,232,232,246,249,247,249,237,216,219,190,142,114,97,90,103,106,133,174,203,200,190,187,147,124,114,44,213,241,234,233,247,249,247,250,236,215,227,196,159,137,118,129,161,198,209,213,217,205,180,173,128,94,49,120,253,235,236,234,246,248,246,250,238,208,229,200,169,132,129,139,188,216,218,223,218,192,168,153,114,48,81,240,241,239,237,237,243,245,245,247,242,198,214,201,176,144,138,154,211,223,219,221,205,174,150,129,75,54,226,246,238,238,238,237,244,247,248,248,250,206,208,208,182,166,155,172,215,220,218,208,181,159,133,102,39,189,252,236,239,238,236,234,248,248,248,247,254,220,194,210,199,184,159,176,211,209,209,193,157,135,115,44,137,255,237,241,239,238,236,236,248,248,248,248,251,238,191,205,198,177,154,168,200,191,184,162,133,113,57,89,249,242,241,241,239,240,238,236,248,248,248,249,249,250,202,197,190,166,153,160,186,175,159,137,108,56,60,230,247,242,243,241,241,240,239,238,247,247,247,247,248,249,210,198,180,156,152,154,177,167,139,115,66,53,220,252,243,245,246,242,241,240,239,238,251,249,249,247,251,238,205,197,186,178,175,165,168,163,125,88,36,201,255,242,244,243,244,242,241,240,239,237,240,243,246,245,252,219,199,208,197,196,181,168,162,151,104,48,103,255,249,255,254,251,250,248,247,244,243,241,138,143,146,149,148,172,206,217,207,194,181,170,153,116,92,43,124,213,206,210,214,218,218,218,221,223,224,224,111,110,107,108,99,158,209,218,200,191,181,167,121,103,80,45,80,111,110,109,110,112,113,114,116,119,120,120
8,188,190,189,190,191,191,191,191,191,192,192,191,191,192,192,192,193,192,191,190,189,189,188,188,187,186,186,186,190,190,190,192,193,192,192,193,192,192,193,192,179,182,194,194,194,194,193,193,192,191,190,189,188,187,187,186,192,192,192,194,194,194,194,194,194,194,193,199,164,152,196,195,195,195,195,194,194,193,193,191,191,189,189,188,193,193,194,195,195,196,195,195,195,195,196,200,146,148,198,197,196,198,196,196,195,195,194,193,192,191,191,190,195,195,196,196,197,197,196,196,197,196,203,196,126,159,199,198,198,199,198,196,196,196,195,194,194,193,191,190,195,196,196,197,198,199,198,198,199,198,210,193,119,170,201,200,199,200,199,198,199,197,196,196,195,194,193,193,196,197,198,199,199,199,199,200,200,198,213,182,121,184,202,201,201,200,200,200,200,199,198,198,196,195,195,195,198,198,199,200,200,199,200,200,201,201,213,163,125,194,200,199,202,201,202,202,199,200,200,200,199,196,196,196,199,199,200,201,201,201,201,200,200,205,210,159,127,205,196,167,181,199,178,186,200,199,201,193,190,198,198,198,200,200,201,201,201,201,202,202,200,211,209,166,138,222,206,164,145,192,153,137,156,164,180,171,136,190,199,198,200,201,201,201,201,201,202,203,201,215,207,168,168,234,217,182,132,174,163,128,120,144,166,162,102,183,201,198,200,201,202,202,202,202,203,203,203,216,202,170,192,234,227,193,128,152,165,132,163,153,175,173,107,181,201,199,200,200,202,202,202,202,203,203,207,206,194,187,193,216,230,193,131,134,155,143,179,153,180,186,134,169,204,200,199,200,201,202,202,202,203,204,211,186,188,194,188,186,227,198,136,112,141,160,171,143,173,190,162,138,200,203,199,200,201,201,202,202,203,205,213,175,167,184,172,175,215,203,138,94,125,166,161,123,159,190,155,113,189,203,200,201,201,201,202,203,202,207,219,172,142,159,153,151,197,200,134,86,115,166,152,111,168,176,129,127,199,202,200,201,202,202,202,203,202,212,227,182,130,136,130,129,165,195,153,85,108,171,146,122,171,144,107,169,204,202,201,202,202,202,202,203,204,220,229,197,130,127,126,127,151,186,164,90,109,159,133,154,149,110,122,199,203,201,201,201,202,202,203,204,206,223,228,207,140,115,126,124,144,176,140,115,162,175,162,176,135,93,164,205,203,204,201,201,202,203,203,204,206,225,228,214,145,119,134,129,164,198,187,191,191,178,158,156,128,96,189,206,204,205,195,197,199,202,203,203,204,225,228,212,146,129,136,144,194,215,214,208,191,176,145,124,107,123,203,206,205,205,130,133,137,139,141,142,164,225,226,207,152,150,138,168,217,223,219,211,193,167,133,104,92,161,200,198,197,196,97,98,99,98,98,96,124,225,226,208,170,158,145,172,223,228,221,202,183,152,120,94,90,116,123,131,153,182,102,103,103,103,102,103,115,215,226,213,180,161,157,167,225,230,210,186,168,133,105,91,97,113,143,178,201,205,104,104,103,103,103,104,106,204,222,206,178,162,160,169,226,219,196,169,145,114,93,114,161,191,207,209,212,209,104,103,102,103,104,105,110,204,212,193,174,162,157,181,217,200,179,146,123,99,90,185,220,199,191,191,195,203,102,102,102,102,103,103,122,210,204,186,172,165,163,186,195,185,161,129,116,93,119,193,213,213,195,179,181,183,102,102,102,102,103,100,133,215,198,183,174,169,169,183,184,175,149,120,111,101,170,186,181,198,203,179,152,147
4,199,200,202,202,203,204,205,206,207,207,207,208,208,208,208,208,208,207,207,206,206,207,207,207,207,206,205,204,199,201,202,203,204,206,207,207,208,208,208,208,209,209,209,209,209,208,207,208,207,207,208,208,208,208,207,206,201,202,204,204,205,207,208,208,209,209,209,209,209,210,210,209,209,210,209,209,209,209,209,210,210,209,209,208,202,203,205,206,207,209,209,209,210,210,210,210,213,214,211,213,217,214,208,209,211,212,212,212,212,211,210,209,204,205,206,207,208,209,210,210,211,211,213,218,228,232,218,212,228,224,197,192,207,210,211,213,214,213,211,210,206,207,207,208,209,210,211,212,214,223,230,225,215,227,214,180,196,210,179,164,202,202,191,207,214,213,212,212,208,208,209,210,210,212,213,213,226,244,245,216,175,191,198,157,159,188,163,171,218,196,159,191,214,215,214,214,209,209,211,212,213,213,214,216,237,247,242,214,165,170,195,149,140,188,181,207,229,193,151,187,216,217,217,216,209,211,212,214,215,214,215,217,239,239,228,218,178,152,187,165,159,204,220,235,232,209,167,191,218,218,218,217,211,212,214,215,216,215,216,219,241,237,217,202,163,121,157,200,205,216,224,221,227,228,196,190,215,219,218,218,212,213,215,217,217,216,217,225,246,241,214,185,150,118,126,176,188,194,197,193,228,244,222,190,205,220,220,220,213,214,216,218,219,219,219,231,249,237,204,173,153,137,132,143,147,161,160,168,231,251,236,198,187,217,221,221,215,216,217,219,219,221,221,235,251,238,203,169,148,140,143,146,144,159,158,185,238,248,235,200,172,206,222,222,216,217,218,220,221,222,222,239,252,240,208,173,151,143,150,160,168,189,207,236,248,240,219,187,162,194,223,224,217,218,219,221,222,223,224,242,253,242,216,184,157,147,155,172,188,215,241,251,247,231,203,171,156,193,224,224,219,220,221,223,223,224,225,243,253,245,226,197,165,151,157,180,209,238,252,252,242,222,191,160,157,204,225,225,219,221,222,223,224,225,226,243,254,248,233,207,180,163,166,193,231,251,254,249,234,209,177,152,166,216,227,226,220,221,223,224,225,225,226,242,254,252,240,217,198,181,183,208,240,253,252,243,222,194,164,147,183,225,228,228,221,222,223,224,226,227,227,240,253,253,245,226,212,199,194,210,236,251,245,230,208,179,151,149,202,229,229,229,222,223,224,225,226,227,228,237,251,253,248,233,220,207,195,200,226,244,232,215,194,165,143,162,218,231,230,229,223,224,225,225,224,222,218,220,233,235,229,217,205,193,186,188,209,228,214,198,180,153,140,185,229,232,231,230,225,224,219,208,195,183,172,165,165,162,152,142,135,133,134,141,161,181,181,177,165,142,148,210,234,233,233,232,225,221,192,171,159,152,145,138,130,121,110,99,92,88,80,79,90,100,108,121,130,128,170,226,235,234,233,232,226,220,179,155,151,146,141,136,124,114,103,94,88,80,70,68,72,70,66,67,76,102,185,233,235,234,233,233,227,225,187,152,147,143,140,132,119,108,99,91,86,78,71,70,71,66,59,57,57,67,132,217,236,235,235,235,228,228,198,156,146,141,138,129,116,105,97,90,84,77,71,70,70,63,56,54,54,54,79,186,236,237,237,237,229,230,205,160,145,143,138,127,114,104,96,88,82,77,71,69,67,61,55,52,53,54,91,198,237,237,237,237,229,230,209,160,145,144,135,124,112,103,94,86,80,76,71,69,65,59,53,51,53,58,134,226,238,238,238,238
18,171,172,173,173,174,175,175,175,175,175,175,174,173,172,172,171,170,170,170,169,167,166,165,164,162,161,160,159,172,173,174,174,175,176,177,177,177,177,177,175,174,173,173,172,172,172,172,170,168,167,166,165,163,162,161,160,173,174,175,175,176,178,178,178,178,178,178,177,177,175,173,173,174,171,168,169,170,169,167,166,165,163,161,160,174,175,176,177,178,179,179,180,180,180,180,179,177,165,149,157,167,154,136,141,163,164,156,157,164,164,163,162,175,176,178,179,180,180,181,181,181,180,177,177,176,152,120,115,139,140,112,99,129,138,120,116,143,164,165,165,176,177,179,180,181,181,182,182,182,174,156,153,164,152,124,102,114,146,118,94,94,110,105,88,106,157,167,166,178,179,180,182,182,182,183,183,184,173,146,130,134,149,133,106,102,138,124,106,98,100,103,88,83,142,167,166,180,181,181,183,183,184,184,185,186,178,159,139,121,128,137,111,94,115,128,119,110,107,112,96,79,136,168,168,181,181,182,183,184,185,186,187,184,171,163,145,121,104,124,115,94,97,126,125,116,113,111,95,78,136,169,170,181,181,182,183,185,186,187,188,183,152,142,139,111,82,104,112,89,83,112,113,111,116,113,96,77,130,170,171,181,182,183,185,186,187,188,189,178,136,117,130,96,69,87,95,74,68,93,88,100,131,129,104,79,120,170,173,182,183,185,186,187,188,188,190,179,146,122,124,94,69,78,81,65,59,75,69,85,139,140,113,84,109,167,173,183,184,186,186,188,188,189,191,184,160,131,117,98,73,78,84,66,56,72,71,83,133,146,123,91,97,161,174,185,185,187,187,188,189,189,192,182,155,126,104,86,67,75,84,65,57,78,106,130,146,154,133,95,86,151,174,185,186,187,188,189,190,190,191,175,146,121,99,79,66,67,71,67,76,108,146,159,153,146,128,93,79,144,175,186,187,188,189,189,191,191,192,182,159,134,108,87,79,77,81,97,122,151,166,162,151,133,111,83,79,148,176,187,187,188,189,190,192,192,193,187,168,142,114,92,85,89,103,129,154,172,172,157,140,120,95,72,93,162,177,187,188,188,190,192,193,193,193,189,173,149,123,102,94,95,112,147,170,179,169,148,130,111,84,67,118,173,178,188,189,190,191,192,193,194,193,189,176,154,131,112,103,101,121,161,176,175,162,141,121,103,77,75,146,179,179,188,190,191,192,193,194,194,192,185,173,154,135,119,111,108,130,167,173,166,153,134,114,94,70,95,167,181,180,189,191,192,192,193,194,195,192,181,168,155,138,126,120,115,135,165,167,157,141,125,106,85,68,121,177,181,180,190,191,192,193,194,195,196,193,182,168,157,143,133,127,120,138,160,162,150,131,114,96,74,76,149,181,181,181,191,192,193,195,196,197,197,197,187,170,159,149,138,128,118,133,154,153,142,122,102,84,66,102,171,183,182,182,191,192,194,195,196,197,198,198,192,176,165,155,142,129,117,124,144,143,130,110,91,72,71,140,182,184,183,182,192,193,194,196,196,197,198,198,196,185,171,158,146,134,122,121,132,132,119,100,80,63,99,171,186,185,184,183,192,193,195,196,197,198,198,198,197,191,178,161,146,135,127,122,126,125,111,92,71,70,141,184,187,186,184,184,193,194,195,196,197,198,198,198,197,193,181,161,148,141,136,130,124,119,104,84,66,101,173,188,187,186,185,184,194,195,195,196,197,198,198,199,196,192,181,164,155,150,141,131,120,114,98,77,68,131,185,189,188,187,186,185
7,148,151,153,154,155,156,158,158,158,159,158,158,158,158,157,157,157,156,157,155,155,154,153,152,151,150,149,149,150,153,154,155,157,157,159,159,159,160,160,160,159,159,159,158,158,157,156,157,157,155,153,153,152,152,151,151,152,153,155,156,159,159,160,161,162,163,162,161,161,161,161,160,159,159,158,158,157,156,155,154,153,152,152,152,153,154,157,158,159,161,163,162,163,163,162,163,164,163,162,160,160,160,159,159,158,157,156,155,155,154,153,153,154,156,159,160,161,162,165,165,164,165,164,164,165,164,163,162,162,160,160,159,159,158,157,157,156,155,155,154,156,159,161,162,164,166,165,166,166,166,166,165,164,165,164,164,163,162,161,161,159,159,158,158,157,156,156,154,158,160,162,163,165,168,170,173,171,169,170,170,171,171,170,169,168,168,167,167,165,162,161,159,159,158,156,155,158,160,164,165,166,165,152,146,155,159,153,144,145,146,151,151,148,146,150,140,140,156,159,160,160,160,157,157,160,163,165,166,164,151,123,101,103,115,125,117,109,100,114,130,129,115,127,103,126,162,136,160,162,160,159,158,162,164,163,160,152,142,134,124,98,84,101,107,110,97,102,118,117,113,110,106,115,138,122,160,165,162,160,159,160,157,150,144,146,150,151,131,85,71,85,96,89,68,78,74,79,87,82,80,87,91,129,165,151,160,162,159,152,148,147,148,141,132,142,115,65,76,87,103,102,89,74,84,114,129,120,104,116,117,147,185,120,146,167,161,150,147,144,138,129,124,128,121,85,61,66,83,90,101,95,83,115,133,124,114,113,110,102,116,116,162,165,163,149,141,135,132,131,129,129,132,107,62,39,40,51,71,76,73,86,85,87,82,87,98,110,132,164,169,165,164,143,136,132,129,128,127,128,120,94,62,40,50,115,94,91,99,111,123,132,144,163,172,174,176,170,167,166,166,137,130,124,122,116,116,113,106,85,55,47,39,145,193,176,180,184,184,182,179,175,172,171,171,170,170,168,166,132,127,123,122,121,120,117,114,96,57,44,43,65,186,179,180,178,177,176,174,174,174,173,172,171,171,169,166,132,130,124,125,120,121,124,124,99,58,48,48,46,172,185,179,180,179,178,177,176,176,175,173,172,171,170,169,137,139,134,124,117,108,112,110,88,65,58,52,36,141,191,180,179,179,179,178,178,177,176,174,174,172,170,170,138,138,135,123,116,105,99,93,75,68,68,59,41,68,191,182,182,181,180,179,178,177,177,176,175,173,171,170,132,128,119,105,98,91,84,78,68,64,70,57,34,89,192,182,182,182,180,179,178,178,176,176,175,173,172,171,118,114,97,80,68,65,69,50,47,57,59,80,131,170,186,182,181,181,180,179,178,178,177,176,176,174,172,171,79,90,81,62,81,123,166,138,106,113,145,179,193,185,184,184,183,182,180,179,179,178,177,176,176,175,172,171,14,26,20,94,188,186,186,191,192,191,192,187,183,184,186,185,184,183,182,181,181,179,178,177,176,175,173,172,0,0,1,162,187,180,183,183,183,185,185,186,187,185,185,185,184,183,183,182,181,179,178,178,176,176,173,171,7,0,80,190,179,183,183,185,187,187,186,187,187,185,185,184,184,183,183,182,179,178,178,177,177,177,177,177,13,1,166,186,182,185,186,188,189,188,190,190,189,188,187,187,186,186,186,185,184,182,183,183,177,171,162,149,16,8,155,171,167,169,170,171,171,171,171,170,170,170,169,167,166,166,165,164,163,161,150,115,78,64,47,33
19,170,171,173,175,177,178,179,181,181,181,181,182,182,182,181,181,181,181,180,179,179,179,178,176,175,175,174,172,171,173,174,177,179,180,180,182,183,184,184,183,184,184,183,182,182,182,182,181,180,180,180,179,177,177,176,175,173,175,177,179,181,181,183,185,186,186,185,185,185,186,186,185,185,183,184,184,182,181,181,181,179,179,177,177,174,176,178,180,182,183,185,186,187,187,187,187,187,187,187,187,187,185,185,185,183,183,182,182,181,181,179,178,175,178,179,181,182,185,186,187,188,189,189,189,189,189,189,187,188,187,187,186,185,185,184,184,182,181,180,179,177,179,181,183,184,186,188,189,190,191,192,192,192,191,189,189,190,189,188,187,187,186,186,185,184,183,182,181,179,181,184,185,186,187,189,191,192,192,193,193,193,191,192,186,190,191,189,189,188,187,187,186,186,185,184,183,180,181,185,186,187,189,191,192,194,194,194,193,194,193,203,174,145,188,191,190,191,190,189,188,187,185,185,185,181,183,185,188,189,192,193,194,194,196,194,172,155,175,202,183,110,154,191,193,192,192,191,190,189,188,187,185,182,184,187,189,192,193,194,195,195,193,183,154,120,119,132,140,123,116,136,147,168,174,179,181,184,179,176,183,183,186,188,191,193,193,195,196,193,184,182,183,169,124,83,101,120,116,116,104,114,129,137,129,143,132,137,174,185,187,189,192,193,194,193,189,176,180,191,192,162,107,73,69,88,99,105,96,101,116,123,120,124,127,126,159,186,187,190,193,194,193,190,183,178,179,184,185,165,122,75,63,65,68,75,74,79,87,96,96,96,101,107,123,186,187,191,193,193,191,190,187,183,176,184,190,186,150,90,63,64,58,82,117,134,138,137,137,145,149,159,173,187,189,192,194,193,191,190,189,187,184,189,193,187,155,95,64,63,61,128,199,200,198,196,197,198,197,195,195,188,190,191,194,192,193,191,192,192,188,187,187,180,161,108,65,62,64,81,184,203,200,198,197,198,197,195,196,186,190,198,198,196,194,194,195,194,187,183,190,188,171,122,70,61,66,58,128,205,201,199,199,199,197,197,196,191,210,212,202,196,196,196,194,188,185,188,193,187,158,116,77,61,68,58,108,204,202,201,201,200,199,198,197,211,217,208,198,193,193,190,187,183,182,177,176,165,137,109,85,68,66,63,152,207,203,202,201,202,200,199,198,218,214,201,194,191,189,186,184,178,175,167,162,154,137,109,89,79,68,57,162,208,205,203,202,201,201,200,199,215,210,200,189,183,183,180,181,178,172,164,156,150,151,112,87,84,71,73,186,208,206,205,204,202,201,201,200,212,207,196,183,172,172,171,171,175,166,156,139,134,143,98,81,87,73,99,207,206,205,205,205,203,202,202,201,207,201,186,170,158,154,157,157,162,151,132,112,109,99,65,77,89,76,138,209,207,206,205,205,204,204,202,201,198,188,170,155,144,129,132,137,141,123,103,96,89,66,72,86,92,144,202,209,207,206,207,206,205,205,203,202,192,168,162,151,127,109,100,107,110,98,90,87,74,70,87,118,166,206,209,209,207,207,207,206,206,205,204,202,160,153,160,146,116,88,80,80,85,83,112,158,153,156,179,199,210,210,208,208,208,207,207,206,205,204,203,201,111,146,151,129,99,66,47,50,101,151,194,212,211,211,211,210,210,209,209,209,209,208,207,205,203,203,202,201,61,97,96,70,46,28,15,25,169,212,210,211,211,211,211,210,210,210,210,209,209,209,207,206,205,204,202,202
6,153,154,157,158,161,163,165,166,169,171,172,173,174,174,175,177,177,177,177,176,177,178,178,179,180,179,179,178,154,156,157,158,160,164,166,168,170,171,171,172,174,174,176,178,177,177,178,178,177,178,178,178,179,180,179,178,155,156,157,159,162,164,166,167,169,170,172,172,175,175,175,176,177,175,177,178,176,178,177,177,179,179,180,178,155,156,158,161,164,165,166,169,171,171,173,174,176,178,178,177,179,180,180,179,178,177,180,178,179,183,180,178,157,158,160,163,165,166,168,171,172,173,175,176,177,176,173,164,150,153,164,158,156,152,136,164,171,165,181,180,158,159,161,165,166,167,170,171,173,173,175,177,178,176,173,157,130,135,148,151,143,139,126,136,156,128,180,181,158,159,160,165,167,168,171,171,172,174,181,186,182,178,163,142,129,117,115,119,113,114,113,111,113,144,186,181,159,162,163,165,167,169,172,176,176,181,178,169,159,142,122,104,102,114,117,122,137,145,152,159,169,185,182,183,160,163,165,167,167,172,181,170,160,156,155,150,148,141,130,111,122,154,169,189,189,192,192,189,187,185,185,184,163,165,165,168,166,193,191,154,136,136,141,147,154,155,152,147,139,132,117,176,189,186,187,186,186,186,186,185,163,165,166,169,168,206,180,150,150,142,138,132,133,137,136,132,124,123,93,161,196,187,189,188,188,188,187,187,163,164,169,171,170,206,173,165,175,154,140,141,139,145,148,141,125,115,104,176,194,190,190,190,190,190,190,189,165,165,168,170,176,206,191,202,187,154,135,135,136,140,141,137,134,129,112,146,201,190,191,191,192,192,190,190,165,166,170,169,182,207,203,200,184,170,160,141,123,111,120,125,120,115,108,90,162,199,192,192,192,192,193,192,166,167,172,169,190,207,201,195,195,193,177,150,133,129,139,135,119,108,107,77,114,203,193,193,193,194,194,193,167,168,172,168,198,210,204,202,203,190,177,160,141,133,138,133,125,115,119,87,139,202,192,194,193,195,195,194,167,169,171,171,203,208,203,204,201,190,178,154,141,140,136,135,129,124,110,129,195,195,195,194,194,196,196,194,167,170,171,174,208,204,203,201,200,186,162,151,143,141,129,125,128,124,106,178,201,194,195,195,194,196,196,195,169,171,172,178,212,203,202,200,194,163,154,155,145,126,116,80,104,112,117,196,195,196,197,197,198,198,197,195,169,172,170,184,207,199,200,197,181,152,147,153,142,108,78,65,88,100,160,202,194,196,197,198,198,197,197,195,171,172,169,190,202,195,197,187,163,144,153,150,127,112,81,88,123,160,198,197,198,198,198,198,198,198,198,196,171,173,171,196,198,190,191,177,158,145,159,147,125,109,87,111,203,201,197,198,199,199,200,199,198,199,199,198,172,175,172,197,193,192,184,169,154,159,166,142,124,108,87,137,208,196,199,199,200,200,200,199,199,200,199,198,172,174,169,192,193,184,170,166,152,163,158,134,118,104,96,181,204,200,200,201,201,201,200,200,201,201,199,198,172,175,170,185,186,179,169,155,152,164,146,127,115,94,142,206,198,202,201,201,201,201,202,201,201,199,198,198,172,175,166,191,191,177,169,149,156,158,139,126,103,120,201,202,201,203,202,202,202,202,202,201,201,200,200,199,173,169,168,196,186,173,164,150,156,149,130,118,96,170,209,201,204,204,204,202,201,203,203,201,201,201,201,200,175,167,171,188,178,160,152,153,148,139,122,109,100,187,204,203,204,204,205,204,204,205,203,203,201,201,201,201
24,178,178,178,179,179,180,179,179,179,178,178,178,177,176,174,173,172,171,169,169,167,165,165,163,160,159,157,155,180,181,181,181,182,182,181,181,181,181,181,181,180,178,178,177,175,174,172,171,170,169,168,166,164,163,159,158,184,184,185,186,185,185,184,183,184,184,185,184,183,181,180,180,179,177,172,146,165,172,171,169,167,165,162,160,186,186,187,187,187,187,187,187,187,187,187,186,185,184,183,182,182,179,177,124,133,174,173,171,169,168,165,163,189,189,189,189,190,190,190,189,188,188,188,188,187,187,186,185,184,183,182,122,126,176,176,174,171,170,168,166,193,192,192,193,192,171,172,192,192,192,192,191,190,189,188,187,186,186,182,120,129,180,179,178,176,174,171,170,194,194,195,195,191,151,115,187,195,196,195,194,194,192,191,190,189,193,179,114,144,182,181,180,178,175,173,173,196,196,196,196,194,154,110,153,197,197,197,197,196,194,194,193,190,200,173,111,159,185,182,181,179,177,175,174,199,199,198,199,200,173,128,118,200,198,198,199,198,196,196,195,195,200,157,101,174,187,185,184,181,180,178,176,201,201,201,201,201,188,141,96,192,200,200,200,199,198,198,192,189,193,144,97,186,189,188,187,184,183,180,178,202,202,202,201,202,199,161,104,161,203,203,200,181,181,193,166,123,141,134,122,192,191,191,189,185,184,183,180,204,204,204,204,204,203,174,121,118,204,204,186,164,143,151,146,117,91,106,148,194,194,193,191,188,187,185,182,206,206,207,207,206,207,182,137,99,188,198,183,173,149,143,132,146,115,71,170,197,196,194,193,190,189,187,184,208,208,208,208,208,208,195,165,118,147,179,178,182,149,146,144,151,117,75,187,198,197,195,194,193,189,188,186,209,210,210,209,209,209,205,183,130,111,139,150,194,150,118,118,140,131,84,173,201,200,197,196,194,192,190,188,210,211,211,211,211,212,211,190,158,143,125,127,179,149,89,64,157,150,101,125,202,201,199,197,196,195,191,188,212,212,212,213,213,214,213,198,192,152,112,92,157,130,80,59,142,168,133,85,181,200,201,199,198,196,194,191,214,214,214,215,215,214,215,201,192,135,108,89,152,118,80,96,182,188,153,89,139,202,201,200,199,197,194,193,215,216,216,217,217,217,216,209,192,166,150,106,148,136,98,167,196,183,139,83,142,203,202,201,199,197,195,194,216,217,218,218,218,219,219,214,194,186,165,118,128,127,148,206,192,166,125,71,166,205,204,202,201,198,197,195,216,217,218,218,218,218,219,214,189,196,175,144,113,132,197,209,185,154,118,74,187,207,204,203,201,201,198,196,217,217,217,217,218,219,219,216,192,186,177,160,122,136,201,200,176,147,107,79,198,206,204,203,201,200,197,196,218,218,218,219,220,221,220,220,191,179,176,170,140,129,194,196,166,133,93,91,205,206,204,202,201,198,196,195,219,219,220,221,220,221,222,221,198,182,180,173,160,125,183,189,155,115,75,126,209,208,206,204,202,200,197,195,220,221,221,221,221,222,223,223,213,188,184,174,168,118,152,166,129,90,58,170,208,207,206,205,203,201,184,151,218,219,220,220,221,223,222,223,220,191,189,174,159,125,121,140,109,75,71,200,210,208,207,205,193,156,93,60,153,157,162,167,171,174,178,182,186,194,187,167,153,137,113,134,107,65,125,202,203,200,185,140,92,59,48,42,110,111,112,112,110,110,109,108,121,194,192,180,171,148,126,134,98,63,98,115,114,101,79,58,50,49,42,39
23,206,207,207,208,209,209,209,210,209,210,210,210,210,210,210,210,210,209,209,208,208,208,207,207,206,206,206,198,207,208,208,209,210,211,211,210,211,212,212,211,212,211,212,212,212,211,209,210,209,209,208,208,207,208,206,206,208,209,210,212,212,212,212,212,213,213,213,213,213,213,213,213,213,214,213,211,210,210,210,208,209,209,208,207,210,211,212,212,212,213,213,213,213,214,214,214,214,214,214,214,214,215,214,213,213,213,213,212,212,210,210,209,212,213,213,214,214,214,214,215,214,215,215,215,215,215,214,214,215,216,214,214,213,209,210,210,210,213,211,211,213,213,214,215,216,216,216,215,215,215,216,217,215,215,215,216,216,213,221,229,224,216,212,179,156,219,212,212,214,214,215,215,215,216,217,216,216,216,217,218,217,217,217,218,216,227,236,232,196,182,180,147,169,219,213,214,214,215,216,217,217,219,219,219,219,219,219,218,220,219,218,219,235,235,217,191,137,170,187,200,218,216,215,216,216,216,216,218,219,219,219,219,220,219,219,219,219,219,216,231,245,215,149,148,194,224,220,218,216,216,216,216,216,217,218,219,219,219,219,219,220,219,220,219,220,218,223,239,245,181,126,212,226,218,216,219,219,216,217,217,217,218,219,219,219,219,221,220,219,220,221,221,222,219,234,238,238,189,196,224,200,213,222,207,209,221,219,219,218,218,219,220,220,220,221,221,221,220,221,221,222,222,233,231,221,232,235,232,180,170,210,194,175,222,219,218,218,219,220,220,220,220,220,222,221,221,216,203,207,220,223,225,164,204,206,211,180,137,192,203,154,223,220,220,218,219,220,221,222,221,220,223,221,228,225,205,184,196,207,226,211,230,229,215,170,123,163,183,148,225,221,220,219,220,222,222,221,222,222,223,224,236,236,231,211,200,192,190,183,187,207,216,183,125,117,140,128,212,225,220,218,220,222,222,221,222,223,224,222,234,242,234,230,214,198,209,195,178,172,176,179,146,110,123,119,166,230,220,217,219,221,221,221,221,221,223,220,230,244,231,225,206,170,185,211,204,190,174,139,154,120,114,125,143,227,221,218,220,221,221,221,221,222,224,219,230,242,237,234,180,148,137,178,182,173,154,123,149,125,109,120,178,228,218,219,220,220,221,221,222,222,225,218,230,242,245,231,176,133,104,137,195,161,120,131,162,130,108,135,217,223,220,219,220,221,222,222,223,223,224,215,231,246,241,216,180,142,92,158,181,136,99,154,165,132,110,187,229,220,221,219,219,220,221,222,223,223,223,216,234,245,232,204,173,146,101,143,151,92,100,168,154,116,138,227,223,222,222,219,219,219,220,221,222,224,222,220,238,242,224,197,170,145,99,130,128,80,135,162,129,110,190,230,221,224,223,223,223,223,224,225,226,227,222,225,243,237,214,192,171,148,105,125,115,91,151,141,113,128,222,224,222,223,222,195,197,200,202,205,210,214,210,227,235,227,202,184,168,150,109,117,115,114,129,127,117,188,235,228,230,229,228,137,136,136,139,141,142,137,159,228,228,218,189,180,182,148,114,108,118,138,133,122,128,183,188,190,194,196,197,141,139,138,138,139,140,133,157,226,224,210,187,192,191,142,126,113,128,145,143,130,134,129,130,132,128,127,135,140,141,141,140,141,142,136,169,229,218,211,195,201,191,150,132,122,133,140,135,134,142,139,140,144,161,189,212,140,142,142,141,142,145,133,180,237,227,223,208,205,190,158,134,125,129,135,133,143,150,164,196,218,231,225,226
21,166,170,171,174,176,178,180,183,185,187,186,186,185,189,188,188,189,189,187,187,188,188,189,188,186,185,185,182,168,171,173,176,179,180,183,185,186,188,187,194,203,170,188,192,192,191,190,190,190,190,190,190,189,188,187,186,170,173,176,179,181,183,186,186,187,190,189,207,230,165,162,196,194,193,194,193,193,193,192,192,192,192,190,187,172,175,177,180,183,185,187,189,191,193,194,194,234,194,138,190,197,195,196,195,195,195,194,196,187,181,192,190,172,177,179,182,184,186,189,191,193,195,196,194,216,223,167,169,199,197,198,197,197,198,196,215,175,139,195,193,174,178,181,184,185,188,191,194,195,195,196,195,202,242,203,154,194,201,200,200,200,198,203,224,164,142,198,193,176,180,183,185,187,190,193,196,197,197,198,199,198,238,220,159,174,203,201,200,200,197,219,217,147,166,199,195,178,181,185,186,189,192,193,195,197,199,199,200,198,225,232,175,155,204,202,201,202,204,232,203,142,188,201,199,180,183,186,188,192,194,195,197,199,200,201,202,200,216,229,195,146,200,205,204,202,216,222,181,140,201,201,200,181,185,188,191,193,195,197,199,201,202,203,202,213,243,224,198,133,162,208,204,207,231,211,149,161,207,202,201,183,186,189,192,194,197,199,200,201,203,203,210,220,240,227,198,158,131,190,209,218,231,201,137,195,207,204,202,184,187,190,193,196,199,200,201,202,205,208,244,217,209,240,217,207,190,157,183,208,211,168,149,210,206,206,204,185,188,192,195,198,200,201,202,205,206,217,230,228,206,194,199,234,216,153,126,167,169,132,181,211,207,207,206,186,190,192,195,199,201,202,204,206,205,220,220,192,154,106,116,206,217,168,120,131,135,126,205,210,208,208,207,188,191,193,197,200,202,204,207,208,207,224,214,156,151,129,115,155,232,196,137,110,114,139,214,211,210,208,208,188,192,194,198,200,203,206,208,209,208,230,225,206,180,141,142,139,230,219,157,110,101,157,218,213,212,211,210,190,193,197,200,202,205,207,209,210,209,242,240,198,167,147,162,161,233,237,183,126,97,163,220,213,214,213,213,192,195,198,201,203,206,207,209,212,212,245,225,177,161,167,183,194,250,239,196,145,104,158,221,213,214,213,213,191,194,198,201,204,207,209,210,212,213,244,230,199,188,188,193,223,255,233,195,150,107,157,222,214,214,213,213,190,193,197,201,204,207,208,209,212,211,245,241,210,194,199,209,239,255,230,187,157,109,155,223,215,215,214,214,192,196,198,201,205,207,208,210,213,210,241,249,222,197,205,219,250,253,233,189,156,112,160,223,216,215,215,214,194,198,201,203,206,207,209,212,214,212,237,252,226,208,207,231,254,244,226,185,152,110,165,223,218,217,216,215,195,198,201,203,206,208,211,213,216,216,233,253,232,226,218,235,255,241,218,186,146,109,159,227,220,219,218,218,195,199,201,206,208,210,214,215,217,218,225,252,241,238,232,229,248,228,209,183,139,106,156,228,221,221,220,220,196,199,203,206,208,212,215,217,219,219,219,242,247,242,234,223,230,212,196,178,134,101,163,229,224,222,223,219,189,193,197,200,205,209,211,213,216,217,216,232,251,242,222,202,210,203,185,182,129,93,190,232,227,227,207,152,138,139,142,146,148,150,154,155,155,155,158,176,248,232,203,177,186,203,180,178,120,89,171,184,185,186,130,104,110,111,112,112,110,112,115,115,112,115,103,91,228,213,183,166,180,204,169,168,105,73,93,110,118,120,96,94
21,165,169,172,175,177,178,179,180,181,182,183,183,183,182,181,182,182,180,178,178,176,176,176,175,173,173,172,170,166,170,173,176,178,179,180,182,183,184,185,185,185,184,183,181,176,181,180,180,179,178,178,177,175,174,174,173,168,171,174,177,179,179,181,183,185,186,187,186,186,185,187,194,124,152,187,180,180,179,179,178,177,175,175,174,170,172,176,179,180,180,183,185,187,187,188,187,188,185,192,194,111,144,191,182,183,181,182,180,179,176,176,176,171,174,177,180,181,182,184,186,189,189,189,189,189,186,199,184,114,155,191,184,185,181,178,183,181,179,178,178,171,175,178,179,182,185,186,187,189,190,190,190,193,186,205,181,115,162,193,184,185,170,126,160,188,180,181,179,173,176,180,181,184,186,186,187,189,190,192,192,193,191,207,177,119,173,192,186,181,157,105,151,189,181,182,180,174,178,181,183,185,187,188,189,191,192,194,194,193,193,208,171,117,178,192,187,176,152,111,177,185,182,181,181,175,178,181,184,186,188,190,192,192,193,194,193,191,197,207,167,113,177,194,186,174,138,125,189,183,184,183,182,176,180,182,185,187,188,191,192,193,194,194,195,190,204,208,158,111,184,192,179,172,121,155,194,184,185,185,183,178,182,184,186,188,190,191,193,194,194,193,192,192,214,204,146,123,198,183,174,156,114,181,191,187,187,186,184,178,181,185,187,188,191,193,195,194,200,193,149,145,200,178,124,128,199,179,177,127,130,197,189,188,189,187,186,179,182,185,188,190,193,194,195,195,198,197,156,121,120,119,100,142,196,182,165,111,171,197,190,189,189,187,186,180,183,186,188,191,193,194,195,198,204,195,193,165,136,98,95,143,171,172,135,121,195,194,191,190,190,188,188,180,184,188,190,192,194,197,196,205,214,205,223,201,156,107,101,115,128,137,108,157,201,192,192,191,191,190,190,181,185,188,190,193,195,196,201,202,173,196,204,191,141,108,100,105,111,109,111,189,197,195,195,193,192,192,191,180,185,188,191,195,196,195,211,188,146,184,147,178,157,120,102,95,104,97,141,204,196,196,197,195,192,193,192,183,187,190,193,195,198,197,214,200,166,135,96,161,179,133,105,94,98,96,170,205,198,197,197,195,195,194,193,184,188,190,194,195,197,199,214,178,141,124,99,137,192,148,117,102,98,97,185,203,200,199,197,197,197,195,194,184,188,191,195,197,196,208,217,173,162,153,124,183,202,159,141,111,102,96,185,207,201,201,199,198,197,196,195,183,188,192,194,197,195,214,213,184,174,142,170,233,198,161,151,117,107,104,189,207,202,202,202,198,197,197,196,184,189,192,194,197,198,217,221,200,160,154,226,220,181,153,148,122,110,113,197,204,203,201,202,200,199,199,196,184,190,193,195,198,198,221,232,189,161,172,232,207,179,148,136,126,109,124,205,203,203,202,202,201,200,198,196,185,190,194,196,200,198,222,216,174,179,176,230,203,181,162,122,119,106,143,211,203,205,205,203,201,200,199,198,185,189,192,194,198,198,216,196,196,188,173,229,199,172,158,126,117,106,164,212,204,205,203,203,202,201,200,198,184,187,190,193,196,198,205,205,222,184,186,220,184,159,140,123,119,110,180,210,204,203,202,201,200,200,199,196,184,188,191,194,197,200,201,212,213,174,172,201,171,144,124,119,113,120,196,208,204,204,203,201,202,200,199,197,185,189,192,194,198,201,202,207,194,173,161,183,167,141,129,119,107,130,207,207,206,205,204,202,202,201,200,198
5,204,205,207,208,212,213,213,213,214,212,212,213,212,209,211,210,210,208,207,206,203,202,201,199,198,197,196,194,207,208,210,211,214,215,214,216,215,214,214,212,217,214,212,212,212,211,208,207,205,204,204,201,200,199,196,196,208,211,214,214,216,218,216,216,219,217,217,228,176,206,218,214,214,214,212,210,208,206,206,205,203,201,199,198,212,212,214,217,218,219,220,224,222,219,223,241,137,173,226,215,216,214,213,211,210,209,208,207,205,204,204,200,215,215,216,219,218,229,221,180,230,218,234,235,118,176,227,217,218,216,215,214,213,212,211,208,207,207,203,201,216,217,218,223,218,248,201,128,228,220,238,202,108,206,228,222,221,220,216,218,217,214,213,212,211,209,206,203,217,219,223,221,226,255,151,136,235,225,225,175,120,228,225,225,222,217,232,187,197,221,215,215,213,211,208,207,219,221,226,222,244,226,101,199,240,217,199,150,136,233,229,223,220,237,225,129,169,230,218,218,214,213,211,210,222,223,227,221,255,218,106,229,237,201,181,114,171,243,208,208,216,194,127,136,216,224,222,220,217,215,212,211,224,226,227,227,255,202,110,231,229,191,165,102,213,183,189,220,155,103,159,221,227,223,223,222,219,216,215,213,225,229,230,237,255,159,111,249,201,197,172,118,146,138,171,150,107,181,241,227,226,225,224,223,221,217,216,214,227,230,233,234,255,234,116,199,184,183,148,104,107,127,96,124,199,237,229,230,227,225,224,224,223,221,217,215,230,234,238,235,255,255,157,117,141,147,112,93,126,109,123,234,239,231,231,232,228,227,226,226,224,223,220,217,234,235,239,239,251,255,214,151,130,134,103,90,127,112,211,249,235,234,233,232,231,229,229,226,226,224,221,218,236,238,241,242,243,255,255,195,130,113,113,109,105,196,240,214,220,239,240,238,235,233,231,229,227,226,223,221,239,241,243,244,245,255,255,185,122,103,100,114,116,168,168,181,189,195,210,219,227,238,233,230,230,227,225,223,241,242,245,247,254,255,245,175,108,94,92,114,122,133,179,187,226,216,213,219,220,170,220,237,231,228,227,224,243,244,248,243,255,255,255,188,116,87,88,113,126,121,146,113,162,194,188,208,205,146,200,244,231,230,229,226,244,247,250,247,255,255,253,178,124,91,86,102,102,93,123,128,203,206,182,206,243,178,168,246,232,232,229,227,246,250,246,255,255,255,247,173,123,86,77,91,80,185,255,247,255,252,240,250,198,128,230,242,237,235,231,227,248,251,248,255,255,255,243,175,113,84,82,103,113,128,220,255,242,202,207,223,110,176,255,238,240,236,234,232,249,249,255,255,255,255,233,149,104,79,98,108,122,130,136,190,199,216,207,163,71,221,251,243,241,237,235,234,253,244,255,255,255,255,211,133,104,89,125,146,158,153,131,146,193,205,181,97,116,248,249,246,243,241,238,236,252,126,169,255,255,241,189,133,104,109,141,159,161,144,137,139,179,152,106,156,247,252,250,249,244,242,240,236,150,84,77,121,226,229,181,143,106,118,152,147,139,117,132,117,94,120,212,255,254,251,252,250,244,242,240,238,96,89,86,76,84,136,159,116,87,101,133,129,117,105,94,79,147,253,255,255,255,253,251,250,247,244,242,241,101,83,77,82,76,69,55,47,53,64,83,97,88,74,155,235,255,255,255,255,255,255,254,251,248,245,242,242,86,77,75,73,67,76,41,24,38,37,41,47,66,183,255,255,255,255,255,255,255,255,255,251,250,247,243,243
19,167,172,176,179,183,185,188,189,190,191,192,191,192,191,192,192,193,191,190,190,189,189,187,185,193,198,166,217,171,176,181,184,186,189,192,194,195,195,196,196,196,198,195,195,195,194,194,194,193,193,192,187,204,159,157,221,176,179,184,188,190,193,196,198,199,201,201,201,202,195,203,201,199,199,198,198,197,197,196,194,194,199,213,218,179,184,187,191,195,197,200,201,202,204,202,216,212,153,155,208,202,202,201,201,200,200,199,198,194,203,197,170,183,187,191,195,199,201,205,206,207,209,205,230,209,147,110,195,211,205,205,205,205,204,202,201,199,199,184,173,188,193,197,200,204,207,209,209,211,214,210,233,209,161,105,167,220,208,208,207,208,207,205,204,203,202,197,200,190,196,200,203,208,211,212,214,214,217,214,235,216,172,109,141,225,211,212,211,211,210,208,207,206,205,200,204,195,198,202,208,211,213,215,217,219,222,218,237,214,163,99,113,229,220,219,217,216,215,213,210,208,208,205,208,197,202,207,211,213,217,219,221,223,226,223,238,209,163,133,154,196,191,202,206,208,209,215,219,217,214,210,210,200,205,210,213,216,221,224,227,226,224,219,226,215,209,213,215,181,151,173,188,173,163,170,171,191,203,210,216,202,207,211,215,220,222,217,197,200,216,218,226,221,225,221,202,184,165,178,197,182,177,175,157,189,189,172,215,205,209,214,218,219,238,218,193,202,207,206,208,205,199,193,180,165,135,134,155,165,168,170,156,166,176,145,198,206,210,215,221,223,246,219,205,199,185,187,194,190,186,188,184,174,119,159,174,173,167,159,155,158,180,87,176,209,213,218,221,230,221,171,160,172,183,200,202,193,193,190,189,183,139,201,250,238,234,230,226,237,197,69,122,210,214,220,222,242,202,172,167,170,180,186,182,187,190,187,186,168,118,190,243,232,233,231,231,242,124,80,78,211,215,220,225,233,186,186,187,183,171,142,151,171,159,145,152,134,109,226,237,238,245,244,236,192,90,84,85,213,217,222,226,235,223,202,177,167,175,180,176,172,165,158,153,140,128,244,251,230,194,148,104,81,82,84,86,213,218,224,226,239,250,222,175,149,170,179,178,177,175,167,157,154,127,184,159,82,67,75,68,70,79,79,82,214,219,222,229,240,250,223,178,163,156,146,149,156,155,145,138,133,118,69,51,65,57,64,61,77,75,73,78,215,222,223,230,239,238,233,187,168,148,128,132,147,148,138,131,117,94,70,68,71,65,57,53,67,70,66,74,216,222,224,235,243,245,245,203,164,138,156,166,162,157,145,138,115,61,59,74,64,61,62,62,54,59,61,67,216,222,222,234,246,246,249,213,162,135,148,155,151,141,127,121,112,60,47,64,67,63,52,54,62,60,60,61,215,221,221,229,246,241,229,188,159,149,148,156,154,136,122,127,104,62,52,53,63,66,56,42,53,56,67,67,215,221,223,229,243,234,218,182,160,157,148,150,133,114,124,128,59,55,60,50,52,66,64,47,45,48,60,64,215,221,221,228,237,232,208,179,156,158,152,133,101,91,103,89,38,42,54,51,51,54,67,56,41,47,45,42,218,224,221,227,231,224,186,157,161,188,153,99,91,60,21,52,60,38,45,52,51,52,56,64,46,43,45,41,207,211,212,230,225,212,183,162,179,182,141,96,89,50,14,32,60,54,42,51,46,47,49,55,56,36,42,40,135,130,193,237,222,211,190,185,191,170,134,104,74,65,22,20,46,60,50,47,45,38,46,46,54,43,35,41
1,119,122,125,127,131,136,138,139,141,142,144,145,146,148,149,149,151,150,149,152,152,152,152,152,151,151,151,152,122,125,128,131,134,138,141,143,144,145,147,147,149,150,149,151,158,151,136,150,155,154,153,153,152,152,153,153,127,129,132,135,138,142,145,147,149,150,151,152,154,158,140,145,167,149,116,146,156,156,156,156,155,155,155,155,131,134,136,139,143,146,149,151,153,154,155,156,163,167,127,136,167,141,111,145,145,147,159,160,159,159,158,158,134,137,140,144,147,150,153,156,157,158,159,159,168,166,121,138,167,134,114,151,136,126,158,163,163,162,161,160,138,141,145,148,152,155,158,160,161,163,166,153,157,159,120,143,168,131,121,160,135,116,158,166,166,165,164,163,142,145,149,152,156,160,163,166,167,170,175,142,135,145,123,148,171,135,130,165,133,115,160,170,169,169,168,167,146,150,152,156,160,164,168,170,172,176,177,133,127,136,124,146,166,133,135,170,134,117,164,174,173,172,172,170,150,153,156,160,164,167,171,174,176,179,173,126,125,128,116,136,160,130,141,174,138,122,169,179,177,176,175,174,153,156,160,163,168,171,174,178,179,183,176,130,127,131,117,136,166,135,151,174,137,127,174,183,181,180,179,178,156,159,163,167,171,174,177,181,182,187,178,131,125,138,122,136,165,136,159,178,139,132,178,186,185,184,183,182,159,162,166,170,174,177,181,184,185,192,186,138,119,130,115,129,151,130,166,180,141,140,183,188,188,188,187,186,162,165,169,173,178,181,183,186,188,195,192,143,116,126,120,133,146,139,167,171,136,147,188,191,191,191,189,188,165,168,171,175,180,183,186,189,191,198,195,152,135,149,153,163,168,155,149,154,130,152,192,194,194,194,192,191,167,170,174,178,182,185,189,192,194,203,202,166,141,141,164,182,187,165,130,126,117,157,195,197,197,196,195,194,169,172,176,180,184,187,191,194,197,208,197,159,127,111,128,152,173,180,145,104,102,165,199,200,199,199,197,196,171,174,178,183,186,189,193,197,199,211,194,153,121,108,115,136,170,198,176,119,102,173,203,202,201,200,200,199,173,176,181,185,188,192,196,198,202,215,197,153,125,122,131,160,185,202,193,142,111,174,205,205,204,203,202,202,175,178,182,186,190,194,198,200,205,216,196,153,128,131,147,187,202,195,181,143,112,165,206,207,206,205,204,204,177,181,184,189,193,196,199,201,207,215,196,159,135,140,163,206,210,186,156,123,105,164,208,209,208,207,206,205,179,182,186,191,195,198,200,203,207,214,197,163,144,143,173,213,207,174,139,106,106,176,210,210,210,209,208,208,180,184,188,192,196,199,202,205,207,211,195,166,150,144,173,209,194,159,126,99,124,195,212,212,212,210,210,210,182,185,189,193,196,199,203,207,208,207,194,172,159,147,167,199,180,146,113,98,151,209,214,214,213,212,212,212,183,186,190,194,198,201,204,207,208,206,194,175,164,149,163,189,168,134,103,105,177,214,215,215,215,214,214,214,184,187,191,195,199,202,205,208,209,209,198,178,163,143,154,175,153,123,98,122,197,217,217,217,217,216,216,216,184,187,192,197,200,202,205,208,209,211,202,181,159,135,144,154,134,111,99,151,211,220,219,218,218,217,217,216,183,187,191,196,200,202,205,207,207,213,207,190,161,137,142,142,122,103,119,187,218,220,219,218,218,218,217,217,183,187,191,195,200,204,206,206,206,214,208,193,166,143,142,134,115,101,150,209,219,220,219,218,219,218,217,217
2,92,95,99,103,106,108,110,113,116,116,119,120,123,124,124,128,124,130,131,133,135,134,134,136,135,135,136,136,93,96,100,104,107,109,111,113,116,117,119,121,124,123,127,126,78,104,124,130,97,117,142,134,137,137,136,137,93,95,102,105,108,110,112,114,117,118,120,121,120,128,128,96,52,62,110,110,60,79,127,136,136,137,137,137,94,97,103,105,108,110,114,116,118,121,119,123,132,126,93,60,41,54,80,81,73,75,62,127,138,136,137,137,96,99,103,107,109,111,115,118,121,122,123,142,140,100,51,43,45,56,53,70,80,79,39,86,145,137,137,138,96,100,104,108,111,113,115,119,122,120,138,146,113,66,31,30,41,57,54,71,72,65,59,121,144,139,140,140,99,101,105,109,112,114,116,120,119,129,151,110,65,35,25,17,40,69,80,65,86,101,128,145,141,143,142,142,98,101,106,109,113,115,118,119,117,148,134,74,38,35,35,33,60,64,67,115,144,143,145,141,143,143,143,143,98,102,106,110,113,116,119,115,138,146,104,62,33,36,35,48,45,76,126,145,140,140,142,143,144,144,143,143,99,102,107,111,113,118,117,124,151,120,74,33,29,29,43,52,67,147,141,140,141,142,143,145,145,145,144,144,99,103,107,111,116,119,117,150,142,97,57,37,40,30,47,45,107,145,139,142,142,143,145,145,145,145,146,146,101,106,108,112,119,115,140,166,136,91,60,47,45,40,38,70,141,140,141,142,143,144,146,146,145,146,148,148,102,106,110,114,117,115,166,155,118,82,52,44,42,47,47,125,144,140,143,144,144,145,146,149,148,148,150,149,102,106,110,115,115,131,177,146,107,71,47,42,40,42,74,146,141,143,143,144,144,146,147,147,148,149,149,149,103,107,110,116,113,158,169,134,98,62,43,42,44,42,110,145,141,144,144,144,146,149,149,151,152,150,151,149,103,108,113,113,126,177,157,124,92,58,42,42,43,34,126,145,142,144,144,146,147,149,150,137,121,109,124,154,103,108,115,110,156,176,147,114,83,52,39,44,44,36,82,150,143,143,144,148,154,144,122,114,109,79,90,156,104,109,111,122,177,160,134,108,79,50,38,41,44,54,49,96,144,148,149,147,129,120,119,110,87,104,148,152,104,111,105,150,175,149,128,99,72,47,36,41,49,60,71,60,74,112,120,113,103,111,122,78,113,159,152,152,105,108,113,174,163,148,119,89,68,48,33,45,58,71,83,81,70,90,102,119,124,116,88,80,155,151,151,153,105,102,143,175,151,138,110,91,72,49,34,59,78,92,98,92,86,103,115,115,103,92,96,138,156,153,152,152,104,110,170,160,151,134,110,95,73,49,41,75,92,97,103,101,89,100,99,86,107,137,154,154,153,153,152,153,98,138,175,154,148,133,109,93,71,50,47,86,95,94,102,105,71,69,100,136,155,155,152,151,152,154,154,154,105,171,165,151,145,127,101,87,71,51,52,90,93,89,104,80,79,123,151,151,150,151,153,152,153,154,154,154,141,175,152,148,142,114,86,75,61,47,65,83,93,88,83,102,148,153,149,150,150,151,151,152,155,154,154,154,169,158,145,135,129,104,81,68,55,54,68,73,87,76,115,149,146,147,150,150,151,151,151,153,155,155,154,154,157,149,139,125,128,89,70,66,58,63,52,65,103,130,148,145,147,150,150,150,152,152,152,153,154,154,154,154,152,146,132,118,130,82,60,68,66,55,75,126,141,146,145,147,145,148,150,150,152,152,152,154,156,155,154,154
0,203,203,205,204,204,206,206,206,207,207,206,207,207,206,206,205,207,210,207,206,207,206,207,206,205,205,206,206,204,205,205,205,205,205,206,206,207,209,207,207,207,208,208,213,196,182,205,211,206,211,209,208,208,207,207,208,205,206,206,207,206,207,207,207,208,209,209,209,203,184,199,225,185,160,156,179,171,180,210,193,186,210,208,210,205,206,207,207,208,209,207,208,208,209,212,228,204,175,160,209,190,182,144,125,163,151,167,184,145,214,208,209,207,207,208,208,209,209,210,209,210,193,210,235,202,189,160,210,201,187,154,135,177,162,141,180,143,209,211,210,207,207,208,209,210,211,207,217,226,178,165,225,211,197,160,207,219,192,157,145,189,161,128,167,138,199,215,210,207,207,209,210,210,211,207,230,225,192,168,204,229,197,158,196,227,196,153,148,194,156,116,159,139,158,221,208,208,208,209,211,212,208,222,217,220,203,179,175,233,195,154,180,231,191,147,130,177,149,109,151,155,117,206,214,208,209,210,212,210,215,223,196,225,212,182,153,224,197,154,153,220,179,138,111,154,140,105,153,163,111,184,221,210,210,211,212,210,223,209,177,213,214,184,143,206,194,151,129,194,169,137,110,138,130,105,165,170,119,183,221,210,210,212,211,212,224,211,186,197,201,173,131,178,184,147,112,171,165,138,108,141,126,124,189,181,125,185,222,208,209,210,209,218,216,198,171,170,191,165,126,156,179,143,99,153,167,129,107,156,125,160,202,181,126,189,222,208,209,210,207,218,229,206,178,146,183,162,118,147,179,144,95,152,175,130,165,189,149,163,202,181,128,198,220,207,210,211,209,217,231,211,184,143,144,166,128,139,188,153,101,146,182,180,201,191,173,146,177,179,128,202,218,209,211,212,209,220,232,216,194,167,133,151,148,137,192,168,159,194,201,199,190,180,165,152,138,149,120,201,220,210,211,212,209,220,234,222,201,181,168,158,163,179,189,200,215,214,208,196,187,172,153,147,133,125,115,199,220,210,211,212,210,219,231,225,208,193,185,177,169,180,198,208,213,214,212,198,184,169,149,137,131,121,118,210,219,208,211,213,211,217,227,226,215,205,196,183,177,176,193,205,211,209,206,195,178,167,148,134,127,114,170,223,217,209,211,213,210,210,226,225,225,214,201,186,180,179,192,207,213,206,199,191,176,162,144,131,114,159,221,216,217,202,203,207,208,202,221,227,230,215,202,189,180,179,194,211,211,203,195,188,174,156,139,119,136,219,219,219,219,142,142,145,150,142,206,227,224,212,203,192,181,176,195,207,201,191,183,176,164,147,134,115,177,211,208,212,211,129,130,130,132,116,180,226,210,206,205,197,185,174,192,203,193,179,166,157,148,138,127,127,138,142,140,137,148,135,135,135,137,124,169,223,200,206,208,198,185,174,187,201,188,169,148,138,133,125,129,135,128,125,138,175,207,134,132,132,135,126,162,222,196,207,207,195,186,176,184,196,183,155,131,126,122,133,135,134,146,183,222,230,219,134,132,132,136,128,158,230,205,208,204,190,185,177,174,183,174,141,124,121,127,133,145,197,227,238,228,219,209,131,132,133,134,126,153,233,214,212,202,189,186,182,167,176,168,134,122,120,126,163,224,242,238,234,227,231,224,134,132,133,135,128,151,224,217,215,200,189,187,183,162,171,165,130,116,115,179,230,233,235,235,222,221,231,234,135,133,133,135,127,151,216,216,213,195,186,187,184,159,165,160,129,103,157,234,219,233,230,223,219,223,228,233
10,80,89,97,111,130,138,144,148,150,152,153,154,156,156,155,157,158,157,156,155,154,153,152,150,149,147,145,143,81,90,99,113,131,139,145,149,151,153,154,156,157,158,158,158,158,157,157,156,155,156,153,151,151,149,146,144,82,91,100,115,132,141,147,150,152,155,156,157,158,159,160,161,160,159,158,158,158,147,152,154,151,150,148,145,83,92,101,116,134,142,148,151,154,156,157,159,160,161,162,162,162,162,161,159,165,119,119,160,151,151,149,148,85,92,102,118,135,143,149,153,155,157,160,162,162,163,163,163,164,164,163,161,169,121,104,161,154,154,151,150,87,94,103,120,136,145,151,155,156,158,161,163,163,164,166,167,166,166,165,164,169,119,100,161,156,155,155,152,87,95,105,121,138,146,152,157,158,160,163,165,166,167,169,169,169,167,168,167,174,123,102,165,160,158,156,155,89,96,106,123,139,147,153,157,158,161,164,167,168,169,170,170,170,170,168,170,158,122,102,166,162,161,159,157,89,98,106,124,140,148,154,158,161,163,167,169,169,170,171,171,172,173,174,177,107,101,101,168,164,162,161,159,90,98,107,126,141,149,155,160,161,164,168,169,170,173,173,173,174,170,161,157,101,78,105,171,164,164,161,160,91,98,108,126,141,150,156,160,162,165,169,170,172,174,175,178,180,168,143,101,91,66,111,176,166,165,164,162,92,99,109,127,141,151,157,162,164,166,170,172,173,175,173,155,167,164,124,77,72,78,94,175,168,167,165,163,94,100,109,129,142,152,158,162,164,168,171,174,176,181,168,129,104,86,69,74,92,79,75,170,170,168,167,163,95,102,110,130,143,153,159,163,165,168,172,175,167,160,178,153,102,46,49,70,139,98,72,165,173,169,168,165,95,102,111,131,143,153,159,164,166,168,172,178,162,128,136,167,122,63,56,70,151,125,74,160,176,170,168,167,95,103,111,130,143,154,159,164,166,170,173,179,175,161,121,151,129,81,49,84,152,133,73,145,180,171,170,168,95,103,112,131,144,154,161,166,167,171,175,177,149,157,118,116,130,88,55,122,153,130,70,129,183,171,171,169,96,104,113,133,145,154,160,166,168,172,174,183,153,120,112,89,139,129,89,150,142,108,69,137,183,172,171,168,96,103,115,133,145,154,160,166,169,172,175,180,163,128,108,106,133,142,97,149,132,92,66,153,182,173,172,170,96,104,114,134,145,154,161,167,169,173,176,180,184,152,117,104,106,135,128,145,122,88,62,162,182,174,173,171,96,104,115,135,146,154,161,167,169,173,176,177,184,166,139,117,114,171,170,138,114,84,68,173,180,175,173,172,96,105,116,135,145,155,162,167,170,174,177,179,170,163,147,134,125,166,161,128,106,76,78,183,179,178,175,173,96,104,116,135,145,155,162,167,170,173,177,181,167,161,153,142,128,158,154,119,97,62,96,190,178,178,176,174,96,102,115,134,145,154,162,167,170,173,176,180,177,159,155,140,122,139,136,107,87,52,132,190,178,177,175,173,94,101,113,132,143,153,161,165,168,172,174,177,181,169,150,134,119,122,129,107,81,67,171,182,178,175,174,171,94,100,112,131,142,153,161,166,168,172,175,177,181,180,156,135,131,124,131,115,72,97,189,178,177,174,173,171,94,99,112,130,140,152,160,165,168,171,174,178,181,179,165,150,146,130,129,107,67,122,190,178,176,174,172,171,91,97,111,130,139,151,158,164,165,170,173,176,179,171,174,159,147,129,113,98,64,128,188,176,176,174,171,170
0,171,173,176,178,180,182,183,185,185,186,186,186,186,186,186,186,187,185,185,185,185,184,184,184,184,184,181,180,172,174,177,179,181,183,185,186,187,187,188,188,189,188,187,188,188,187,187,187,186,185,185,185,185,185,183,182,173,175,178,180,182,185,186,187,187,188,189,190,191,190,190,191,191,190,189,188,187,187,186,186,184,184,184,183,176,177,180,182,184,186,188,188,188,191,192,192,192,194,192,191,191,192,191,189,188,189,188,187,187,186,185,185,177,179,181,182,186,188,189,190,192,193,194,190,186,175,188,192,165,163,191,192,189,188,189,189,189,187,186,186,178,181,182,184,187,188,190,191,194,183,184,213,184,137,131,197,160,106,158,182,182,174,154,192,190,188,187,187,180,182,183,186,188,189,191,193,202,170,137,196,201,160,116,197,170,126,86,109,149,185,121,183,193,190,190,188,180,182,185,187,189,190,190,199,217,199,155,138,207,164,116,195,173,130,79,131,147,187,142,134,192,191,192,190,180,183,186,188,190,192,191,212,208,208,177,110,179,166,112,193,178,123,99,153,120,182,170,124,146,192,192,191,181,184,186,188,189,192,196,212,171,200,167,93,142,169,114,188,168,105,101,149,92,156,185,154,110,149,198,192,184,186,188,189,190,190,207,212,163,192,140,86,139,149,103,162,143,93,95,138,97,184,206,166,105,125,198,192,185,187,188,190,192,192,216,207,174,184,126,83,135,126,90,130,124,88,93,128,114,205,201,159,91,161,197,194,186,187,189,192,193,197,224,195,154,156,139,87,120,119,84,119,116,73,135,147,164,199,179,129,97,193,195,194,187,188,191,194,194,199,230,209,173,128,108,71,127,139,87,134,130,118,173,168,168,181,144,95,138,203,196,195,187,189,192,194,194,203,229,208,186,154,109,87,115,121,84,120,178,197,182,169,143,142,119,79,177,202,198,196,188,190,193,195,195,210,230,206,189,171,141,104,107,131,144,188,210,199,174,159,131,105,98,86,196,201,200,199,189,191,194,197,196,213,230,208,189,175,155,113,107,144,193,218,214,192,163,147,118,91,75,129,206,200,200,200,190,192,194,196,195,210,229,213,191,179,168,130,119,142,205,219,210,182,153,132,103,79,83,193,204,201,201,201,191,193,195,197,196,206,228,216,195,181,173,144,121,151,213,219,198,168,138,115,90,69,155,207,202,202,202,201,191,194,195,199,198,202,227,217,200,181,167,146,120,163,210,207,180,157,128,99,72,116,207,205,204,202,202,203,191,194,196,199,199,202,227,214,199,182,161,141,127,177,194,180,168,147,116,83,77,189,207,206,206,204,203,203,192,194,196,199,198,202,228,213,202,183,156,139,146,179,162,160,152,128,99,68,153,211,207,206,206,206,204,203,192,194,195,198,194,216,231,217,212,185,159,147,159,172,146,148,132,109,75,118,209,210,209,208,207,206,205,203,192,195,198,197,198,232,226,217,210,180,158,153,161,153,141,137,119,88,97,200,213,210,208,208,207,207,206,204,191,194,198,193,215,226,207,207,202,168,150,156,150,138,132,119,94,89,184,213,212,209,208,208,208,207,205,205,191,193,195,187,224,213,187,178,178,156,146,152,139,128,120,100,84,163,209,210,209,209,209,208,207,207,206,205,191,195,190,193,227,203,176,155,150,135,148,152,119,117,110,77,132,208,211,210,210,210,209,208,207,207,206,206,192,195,184,215,225,192,160,150,139,120,151,141,104,114,91,86,188,211,210,210,210,211,209,208,207,207,207,207
18,145,146,148,150,153,157,161,165,167,170,173,174,176,179,180,181,183,183,184,185,186,186,187,187,186,186,186,185,145,147,149,151,154,158,162,165,169,172,174,175,177,179,180,182,184,184,186,187,188,188,188,188,187,187,186,187,146,148,150,151,154,160,164,167,171,173,175,177,179,181,182,184,185,185,186,187,188,188,188,187,189,189,187,187,146,149,151,152,156,160,165,169,172,174,176,178,180,182,183,185,186,186,187,188,188,191,185,153,183,189,189,189,147,150,152,154,157,160,165,170,173,174,177,179,181,184,185,186,186,186,188,190,188,202,186,121,137,191,192,190,149,151,152,154,158,162,167,171,174,176,179,181,182,185,186,186,187,186,187,191,182,196,192,137,110,143,172,189,150,152,153,155,160,164,168,172,175,177,180,182,183,186,187,187,191,169,149,163,173,175,204,174,138,109,108,140,150,153,154,156,160,165,169,172,175,177,180,181,184,184,172,185,198,164,143,109,150,170,204,187,152,137,131,106,150,153,155,157,160,165,169,173,177,179,180,180,192,190,153,130,181,173,152,111,128,165,180,179,167,152,136,117,152,153,156,158,161,165,170,174,178,181,181,187,206,196,169,119,157,185,152,117,98,151,136,132,166,163,140,125,152,154,157,160,163,167,171,176,179,181,182,209,220,202,176,133,129,184,154,119,80,118,113,91,184,185,153,131,153,156,157,160,165,169,172,177,181,183,187,213,220,206,179,140,108,171,145,109,68,75,87,82,179,196,164,132,154,157,158,160,165,169,173,177,181,181,198,222,211,190,177,133,93,134,119,95,67,53,65,66,171,193,170,133,154,157,158,161,166,170,174,178,181,186,217,216,200,165,141,108,85,108,103,88,57,59,110,111,183,197,161,131,156,158,159,162,167,171,175,179,180,199,224,198,180,154,103,89,82,106,112,88,92,163,187,161,161,177,145,124,157,159,160,163,168,173,177,180,181,198,236,214,174,137,107,105,83,127,145,139,189,200,187,168,129,152,132,119,157,159,160,164,169,174,178,182,184,197,236,221,187,140,126,122,88,139,175,203,209,188,168,165,131,131,131,115,157,160,161,165,169,175,179,183,184,204,237,223,196,167,150,146,127,148,214,215,194,173,158,160,151,119,126,104,158,160,161,165,170,175,180,184,184,211,236,217,183,168,146,137,157,213,219,200,183,172,164,161,156,121,110,91,159,161,162,166,171,176,180,184,185,215,234,210,183,169,148,149,190,225,213,191,183,177,157,157,148,116,92,73,160,162,163,167,173,177,181,184,185,217,229,209,186,183,155,180,198,212,202,182,181,165,143,153,136,105,81,59,161,163,164,168,173,177,181,185,187,217,226,212,201,187,160,171,192,191,189,172,168,151,143,147,118,90,68,106,161,163,165,168,173,178,182,186,188,214,222,211,206,178,154,151,175,175,176,167,159,145,139,120,95,75,83,182,161,162,165,169,174,179,183,187,188,213,223,213,202,166,135,153,164,172,174,164,154,136,118,92,77,67,154,209,161,163,165,170,174,179,183,188,190,209,219,212,183,147,137,160,163,175,174,162,142,126,103,84,66,112,205,209,163,163,164,169,174,180,183,187,190,211,208,198,183,172,167,165,162,177,170,150,126,112,95,73,79,184,212,209,163,163,165,170,175,181,185,187,194,223,220,213,208,195,180,164,155,172,161,139,115,99,82,74,163,212,210,211,163,164,167,172,177,163,154,181,200,226,221,219,209,193,172,163,153,164,153,131,110,91,71,131,213,212,212,212
8,147,146,148,148,148,147,149,147,147,146,148,121,126,147,143,142,142,142,140,138,137,137,136,135,133,132,131,129,147,147,148,149,149,149,149,148,148,148,153,99,89,153,144,145,145,144,141,140,138,138,137,136,134,134,132,129,148,149,150,151,150,150,151,153,148,157,148,74,87,154,144,147,147,146,143,142,141,140,139,138,136,134,133,131,150,151,151,154,153,152,153,153,149,162,140,56,106,157,146,147,147,145,145,144,143,141,140,140,139,136,133,133,151,153,153,155,156,154,154,155,150,172,140,63,121,157,149,149,148,147,146,145,143,143,142,140,139,137,135,135,153,154,154,155,156,155,155,156,153,177,121,61,130,156,149,153,150,146,146,145,144,144,143,142,139,139,137,137,154,156,156,154,155,157,157,156,156,173,112,66,137,158,149,112,139,158,150,146,145,146,144,143,142,140,139,136,155,157,158,157,157,157,158,156,162,174,125,103,136,160,161,109,87,123,137,152,145,147,145,144,142,142,141,136,156,157,157,157,158,158,159,154,166,167,138,121,142,152,162,151,107,84,74,99,154,140,151,146,142,141,140,138,157,158,158,158,158,159,161,156,166,163,150,130,162,154,141,166,142,140,103,42,86,85,83,144,146,142,142,140,158,158,159,161,160,162,162,158,179,150,138,150,163,149,110,129,147,130,108,49,17,37,21,84,156,143,144,141,159,161,161,161,162,164,162,165,164,132,141,134,150,131,98,52,136,144,112,61,18,26,27,50,154,145,144,142,160,162,162,163,164,165,162,179,151,116,113,118,148,109,79,14,94,169,117,67,22,43,24,74,157,144,144,143,161,162,163,164,164,162,170,189,162,131,87,93,135,91,53,30,96,177,125,73,21,22,29,137,152,146,146,145,162,162,163,166,165,162,188,185,158,128,100,90,140,129,126,155,141,147,117,76,28,4,112,157,147,147,146,144,162,164,165,166,166,167,195,173,152,133,117,87,107,176,170,149,149,110,102,83,25,85,163,150,150,149,148,146,163,166,165,166,166,177,192,166,156,131,96,95,153,176,151,125,152,93,86,78,23,138,159,153,151,150,149,148,164,166,167,168,165,186,190,165,158,122,99,148,182,163,144,117,135,91,63,48,39,160,155,154,154,150,149,148,166,167,168,169,168,188,187,170,157,118,137,169,174,153,136,108,112,87,50,18,92,170,154,156,154,151,150,149,168,168,170,166,164,193,183,169,149,124,137,161,151,138,119,99,100,64,33,17,144,163,158,156,155,154,152,150,168,166,181,110,44,146,176,151,129,121,129,140,139,123,105,95,76,44,9,60,170,158,160,157,156,154,152,149,166,173,149,44,30,33,107,142,124,122,121,133,137,111,92,70,42,26,11,137,165,160,160,157,156,155,154,151,167,179,75,28,37,31,27,86,128,132,115,130,125,90,68,44,34,4,92,173,160,162,159,157,157,155,154,153,182,121,33,35,28,29,27,0,33,59,76,115,102,56,39,33,6,64,171,163,163,162,160,158,157,156,154,152,152,46,31,31,26,22,33,5,0,5,7,30,43,29,18,2,78,169,165,163,163,162,160,160,157,156,155,152,63,30,32,28,22,20,30,11,0,6,2,0,0,0,0,99,186,162,162,162,162,162,160,158,156,154,154,152,29,24,22,24,21,14,28,5,0,0,0,0,0,0,0,35,130,169,163,163,162,162,160,157,156,155,152,149,34,20,0,51,37,4,26,0,0,0,0,0,0,0,0,0,62,179,162,164,163,163,161,158,157,157,154,150
15,81,81,82,84,85,86,90,101,112,121,130,139,146,149,151,154,158,163,168,172,176,179,180,182,184,187,188,191,81,81,83,84,84,86,90,101,111,122,131,139,146,150,151,155,159,164,169,173,176,180,181,184,186,188,190,193,81,82,82,84,85,86,91,102,113,123,132,141,148,151,151,154,159,165,170,173,177,180,182,185,188,190,192,194,81,81,82,83,85,86,91,102,114,124,133,141,148,152,152,154,161,167,171,174,178,181,184,187,189,191,193,195,81,81,83,84,87,87,92,104,116,125,134,143,148,152,153,156,161,167,171,175,179,182,184,187,190,192,193,195,82,82,82,98,108,96,96,105,116,126,135,143,149,151,153,158,163,168,173,176,180,183,185,188,190,193,194,196,82,82,83,171,146,127,123,118,115,120,132,139,139,141,147,156,163,169,174,178,180,184,186,189,192,193,195,197,81,83,87,159,134,118,117,112,104,121,120,122,118,120,120,127,139,155,168,176,180,183,187,189,192,193,195,198,82,83,82,107,104,92,95,88,90,110,103,105,102,121,123,121,121,124,132,139,148,167,186,191,192,194,196,199,83,81,82,84,85,84,86,83,87,92,90,89,93,119,118,115,117,124,132,122,108,106,142,191,193,195,198,200,81,82,82,84,84,86,93,104,113,116,118,116,107,110,104,102,102,127,140,129,113,112,92,146,195,196,198,201,81,82,82,83,84,85,93,106,117,129,138,145,147,131,103,98,129,144,143,134,117,127,105,88,163,197,199,201,82,82,83,83,84,86,95,107,118,129,144,158,147,127,116,133,167,135,143,122,146,135,121,102,92,182,201,202,81,81,82,82,84,84,94,107,117,147,178,152,122,111,104,109,153,111,114,151,154,133,151,122,88,109,199,203,80,80,80,80,82,82,93,106,114,175,176,122,106,112,113,93,107,83,105,178,128,133,157,138,100,73,149,201,80,79,79,80,81,82,93,106,113,166,151,108,111,127,134,124,102,84,114,143,97,126,157,144,110,79,81,161,79,78,78,79,81,82,94,106,115,156,142,98,119,132,145,131,99,93,102,109,113,128,136,127,104,79,72,82,78,77,78,80,81,82,93,106,114,165,183,122,118,135,139,122,92,92,100,106,117,124,111,90,85,75,71,74,77,77,77,79,79,80,92,106,113,167,160,182,145,110,99,88,83,93,98,103,111,121,107,78,74,74,73,77,76,77,76,78,78,80,90,105,113,193,167,172,165,130,92,52,55,82,100,108,118,124,102,78,74,74,76,78,74,75,74,76,75,78,90,103,113,151,158,172,162,150,117,73,32,40,65,113,116,111,90,78,79,80,78,77,77,76,75,75,76,79,90,103,114,125,134,147,141,142,124,112,57,44,63,110,122,109,93,89,90,89,83,78,129,125,121,117,119,120,121,124,126,130,134,136,121,119,137,157,91,54,73,79,121,129,119,106,96,89,81,78,109,107,106,108,110,109,108,108,102,102,105,108,109,109,118,170,98,89,89,79,93,101,100,94,86,80,77,74,113,112,113,113,113,113,113,115,110,110,113,114,115,115,112,127,104,115,116,109,111,99,86,81,77,73,70,70,117,115,114,115,115,115,115,116,116,116,118,117,116,118,118,116,118,116,118,121,131,124,105,87,80,76,72,70,119,119,116,116,118,117,117,118,118,118,118,118,118,117,118,118,119,118,117,117,129,135,128,101,93,100,92,77,119,118,116,116,118,119,119,119,119,120,120,119,118,118,118,118,118,119,118,118,116,137,166,125,127,130,115,98
7,132,135,137,139,141,142,144,145,147,149,149,150,152,153,154,154,155,155,156,156,156,156,156,156,157,157,155,155,133,136,138,140,141,143,145,146,148,150,150,152,153,153,154,155,155,156,156,156,157,157,157,157,157,158,157,156,135,137,138,140,143,144,145,147,149,149,150,153,153,154,154,155,155,157,157,158,157,157,157,157,157,157,157,157,136,138,139,142,145,145,147,149,149,151,153,152,153,156,155,155,155,157,157,158,158,158,158,158,158,159,158,157,137,138,141,144,145,147,149,150,151,151,154,155,155,155,155,157,157,157,158,159,159,159,159,159,159,159,159,157,138,139,142,144,146,148,149,151,153,154,157,157,157,157,158,158,160,160,159,159,160,161,160,158,161,161,159,158,138,139,142,144,146,149,150,152,154,155,158,158,157,159,160,157,151,152,157,156,153,148,146,166,139,155,163,159,138,141,143,145,147,150,152,154,155,155,158,159,158,155,147,140,138,127,130,136,139,131,127,144,110,147,158,155,142,143,144,146,149,151,151,154,153,152,153,155,159,151,144,144,141,122,128,128,133,130,127,124,117,140,143,121,142,143,146,148,150,152,152,157,138,132,141,148,154,147,141,137,125,123,118,110,113,115,109,107,105,105,105,131,142,144,146,149,150,150,165,155,125,130,135,130,120,111,111,110,102,97,99,109,110,110,114,119,125,134,146,165,143,143,147,150,149,165,170,153,142,126,118,104,92,81,89,113,116,136,160,166,165,164,166,170,170,171,169,165,143,146,149,148,163,176,164,164,155,117,109,112,115,114,109,117,139,171,170,167,168,169,168,166,165,165,167,167,145,147,146,159,176,167,166,162,143,122,115,107,111,116,110,94,81,110,172,167,169,169,169,168,168,168,168,168,146,145,155,171,169,165,159,147,136,127,117,94,87,103,108,106,97,88,167,171,169,170,170,170,169,168,169,169,141,152,172,170,160,151,147,140,134,128,116,95,81,82,85,88,91,95,170,171,171,171,171,170,170,170,170,170,149,171,169,163,155,146,143,142,140,136,121,99,94,97,83,67,69,96,177,172,171,171,171,171,170,170,170,169,170,165,156,156,153,146,145,140,136,133,123,109,103,101,96,90,80,85,158,177,171,172,173,172,172,172,171,169,163,158,156,152,146,144,138,132,135,132,116,102,98,96,99,94,89,62,71,151,178,171,174,173,174,173,172,170,159,157,150,149,146,142,130,131,137,121,101,89,75,64,84,91,89,69,69,128,182,172,174,173,174,174,172,172,156,153,146,144,136,133,139,135,117,101,90,68,60,57,52,86,90,76,116,170,175,174,174,175,174,175,173,174,154,150,143,133,136,139,135,118,102,93,80,64,68,65,65,82,86,150,180,177,175,175,174,175,175,175,175,175,144,141,130,135,138,130,116,104,96,81,83,101,113,121,82,96,157,180,174,176,176,176,177,175,175,175,175,175,125,125,123,123,118,109,102,91,81,97,153,175,177,182,159,163,181,175,177,178,178,177,178,176,175,175,175,175,112,106,101,101,100,92,87,94,128,167,175,172,173,173,179,178,176,178,178,178,178,178,178,176,176,176,175,175,108,94,88,84,74,89,137,163,175,170,170,173,174,175,174,177,178,178,178,178,178,179,178,176,177,176,176,176,107,90,77,74,118,156,173,168,169,170,173,175,175,176,177,178,179,179,179,179,179,179,179,178,179,177,177,177,108,91,75,80,166,168,165,168,171,171,173,176,176,177,179,179,179,181,181,179,179,179,179,179,179,179,178,178
1,188,189,189,189,190,189,189,190,189,187,187,188,186,184,182,179,178,181,177,177,176,174,171,169,176,104,25,17,188,190,192,191,192,192,191,191,190,189,188,188,187,184,184,189,177,152,177,179,177,176,175,170,178,72,19,21,191,192,193,193,194,195,194,193,192,193,190,189,187,189,171,160,186,105,145,188,181,176,176,172,179,54,25,24,193,194,195,196,197,196,195,194,194,194,191,191,189,193,167,83,140,113,101,147,152,183,176,173,178,84,25,11,195,195,197,198,198,198,196,196,197,195,192,188,183,204,164,78,104,106,98,144,89,177,179,174,185,84,18,14,197,197,198,199,200,200,197,196,197,195,196,185,123,142,153,68,125,125,98,154,74,159,185,174,186,94,9,17,197,199,201,202,202,202,201,199,199,196,203,174,94,92,160,70,126,141,76,135,70,150,188,176,185,139,74,89,198,201,202,203,202,202,203,202,202,199,204,166,85,99,150,71,96,118,78,158,80,138,191,179,183,150,157,163,200,202,204,204,204,204,205,203,202,200,213,173,97,87,122,63,95,97,82,165,90,118,194,181,184,151,146,114,202,204,205,205,205,206,206,205,204,202,218,157,93,93,122,67,122,110,78,146,83,115,197,182,184,165,145,92,204,205,207,208,207,207,207,207,206,204,214,155,90,110,143,73,107,112,73,140,82,121,198,184,185,178,157,139,205,206,209,210,209,209,210,209,206,209,220,162,119,84,113,54,80,78,96,156,94,121,199,185,185,184,163,154,206,208,209,209,209,210,209,209,206,213,208,153,99,60,61,46,75,43,96,147,92,113,201,185,187,185,179,149,207,210,211,212,212,211,211,210,209,215,200,153,128,122,102,96,73,76,107,117,66,127,204,187,187,185,186,172,210,211,211,212,212,212,212,213,208,226,213,172,163,131,186,129,126,120,147,112,50,169,199,191,189,187,186,186,210,212,212,214,215,214,215,215,210,239,201,165,135,95,155,157,158,143,135,110,76,187,196,192,191,188,187,184,211,213,214,216,217,217,217,215,218,237,189,136,109,82,60,124,153,128,141,135,80,148,206,192,191,188,187,185,213,214,216,218,218,218,219,215,222,243,197,154,123,79,62,55,91,108,173,163,98,101,208,191,193,190,188,186,215,216,216,218,220,219,220,217,226,237,195,171,118,92,84,57,150,137,145,187,126,66,180,200,193,193,191,187,217,218,219,220,220,221,221,218,228,230,196,173,103,100,71,116,199,177,144,158,138,60,124,209,191,193,190,187,217,219,221,221,221,221,222,219,226,227,203,175,98,105,81,176,202,179,154,122,112,73,97,209,193,194,191,188,218,221,220,222,224,222,224,221,226,225,205,157,110,90,112,206,199,174,138,123,88,54,135,209,194,195,193,188,219,221,222,223,224,224,225,222,227,222,198,151,131,76,138,208,186,161,126,110,84,51,188,203,196,195,192,192,219,221,222,225,224,223,223,221,221,214,191,160,140,79,158,202,171,147,123,101,57,93,214,199,199,196,193,195,218,219,221,221,220,220,220,219,215,208,187,169,146,91,160,187,154,138,118,84,40,170,209,197,197,193,193,192,218,220,222,223,223,226,230,219,214,212,185,176,144,88,149,166,138,123,103,44,96,215,200,199,198,203,206,139,220,223,223,223,229,213,193,226,205,196,188,176,112,83,123,138,116,99,56,61,200,205,205,208,194,173,119,50,220,222,223,222,238,152,51,113,160,164,159,127,76,83,100,112,89,63,34,170,217,205,188,123,70,37,27,36
2,183,184,185,186,187,187,186,186,186,186,185,184,184,183,183,182,181,180,179,179,179,178,176,174,145,78,60,68,184,185,187,187,187,187,187,187,187,187,186,186,185,184,183,182,181,181,180,180,179,178,177,175,140,76,64,72,186,187,188,189,188,188,189,189,188,188,188,187,186,185,184,177,168,171,175,174,179,180,179,177,150,90,70,73,187,188,189,190,190,190,190,190,189,189,189,189,188,186,178,153,121,126,141,135,166,181,180,179,165,108,76,72,188,190,191,192,192,192,192,191,191,192,194,196,186,166,138,110,85,83,95,92,132,172,181,180,173,121,72,60,189,190,192,193,193,193,194,193,193,198,202,191,152,111,90,77,67,67,73,73,88,147,181,182,179,140,71,45,190,192,193,194,194,195,195,195,196,203,193,157,109,71,64,63,58,59,65,70,82,144,183,184,183,162,88,46,192,193,194,195,196,196,196,196,201,207,165,108,79,61,55,59,62,70,85,102,132,172,185,185,184,174,124,89,193,194,195,195,197,198,198,197,208,202,141,86,70,65,60,65,80,122,156,170,181,186,187,186,185,178,141,127,194,195,196,197,198,199,198,200,213,190,127,81,68,66,65,88,138,176,189,189,189,188,189,188,186,177,128,133,195,196,197,199,200,200,199,207,212,172,113,74,64,62,70,122,183,193,193,192,190,190,189,188,187,178,135,147,196,197,199,200,201,200,202,214,208,162,112,81,71,64,72,136,191,195,194,193,192,191,189,189,188,183,159,148,198,200,201,201,202,202,208,222,201,152,109,86,79,73,80,152,195,196,195,194,193,192,191,190,189,188,179,161,200,201,202,203,202,203,216,223,189,139,100,82,78,77,94,168,197,197,196,195,194,193,193,191,191,190,186,176,201,202,203,203,203,205,224,219,178,129,93,79,77,78,99,174,199,198,197,196,195,194,194,192,191,190,188,182,202,202,203,204,203,210,230,214,169,122,90,79,79,80,104,179,199,199,198,197,196,195,194,194,193,192,189,187,202,203,204,205,205,220,230,203,159,115,87,79,79,77,101,178,200,200,200,199,197,196,194,191,188,186,186,188,202,204,206,205,209,229,225,190,147,107,84,76,73,72,83,144,196,201,200,199,195,188,178,168,158,151,153,173,204,206,206,204,215,232,215,177,136,102,81,70,68,71,75,101,174,199,197,188,172,160,155,148,140,127,114,143,206,207,206,206,223,229,204,165,128,98,78,64,66,72,76,81,123,162,165,157,152,150,147,135,126,128,132,157,206,207,204,212,230,224,196,157,121,94,73,62,71,79,83,84,90,110,132,147,152,142,123,116,140,170,182,187,205,204,205,224,233,218,188,151,115,88,69,67,82,92,98,99,99,109,127,138,132,118,113,145,182,192,193,192,203,202,217,232,229,211,180,144,109,86,69,75,92,101,107,107,105,108,114,117,124,143,165,187,194,194,193,192,200,211,229,229,219,202,173,136,103,85,74,85,99,105,107,104,97,94,108,141,173,191,196,197,196,194,193,192,207,220,226,222,210,191,161,124,97,84,80,94,104,106,99,93,94,114,157,189,200,200,200,199,197,195,193,192,218,219,217,208,192,170,141,109,91,82,83,95,101,98,88,100,143,179,197,202,202,201,200,199,197,195,194,193,218,214,204,187,167,147,119,94,82,80,84,89,91,87,101,153,193,203,203,203,202,201,200,199,197,196,195,194,217,209,192,169,150,133,104,84,78,81,81,81,82,104,156,195,203,203,203,203,202,201,201,200,198,196,195,195
4,175,177,179,183,185,188,192,193,192,196,196,197,198,199,200,199,199,199,198,196,198,197,196,197,196,195,194,194,175,178,180,185,186,189,192,193,194,196,198,198,198,202,202,199,200,201,200,198,199,197,196,196,198,197,196,195,176,180,183,185,187,190,192,194,196,197,200,200,200,200,203,204,201,201,203,201,200,199,199,198,199,198,197,194,178,181,184,187,190,192,193,195,199,198,199,201,198,211,197,186,205,206,191,204,203,201,201,201,198,197,197,196,179,183,186,188,191,194,196,197,198,198,201,195,224,230,194,154,200,217,169,162,206,205,203,202,201,199,198,198,179,184,188,189,192,194,197,200,194,234,236,192,205,246,195,159,220,215,180,113,186,187,193,207,202,200,199,199,181,186,188,192,195,195,199,198,206,255,255,215,150,240,201,155,244,220,154,144,212,153,125,197,204,199,201,201,184,188,188,194,197,195,202,193,231,255,255,199,141,233,202,161,233,206,186,211,172,141,93,149,212,200,203,202,184,187,191,195,197,200,201,198,252,226,243,180,124,203,214,216,215,239,255,227,141,103,92,135,214,204,205,204,185,190,193,195,198,202,199,209,255,213,226,194,101,181,196,221,238,251,241,220,178,110,75,151,216,203,205,204,186,190,194,195,199,203,196,242,253,205,197,198,91,164,161,129,192,218,204,223,195,133,76,167,216,205,206,206,185,190,194,197,200,199,207,255,220,183,173,136,92,168,163,94,203,166,184,242,206,152,98,193,212,207,207,207,188,192,196,198,202,195,225,255,208,167,159,140,123,142,139,107,195,128,151,255,227,173,110,198,214,208,208,208,188,193,196,199,204,194,244,255,209,165,142,122,127,132,133,147,160,169,186,255,241,184,110,152,220,209,210,208,189,193,196,200,205,196,255,255,209,161,138,123,133,130,161,189,204,242,237,223,223,177,131,116,215,211,212,210,191,194,198,202,204,202,255,255,203,156,156,139,129,121,177,215,242,237,232,210,171,182,143,123,214,212,212,211,190,193,198,202,202,212,255,255,199,173,185,152,132,172,234,251,241,237,217,186,146,152,118,153,222,211,212,211,187,192,195,201,200,216,255,255,214,215,200,157,202,253,255,255,239,227,197,165,138,120,110,196,216,213,212,211,189,193,196,202,200,221,255,255,241,231,212,169,238,255,255,255,221,207,180,157,132,101,149,222,212,215,213,212,189,193,198,203,200,221,255,255,250,224,218,182,243,255,255,249,203,184,167,150,121,107,205,218,215,216,213,213,191,194,197,204,203,210,255,255,253,226,210,200,246,255,244,224,190,166,158,137,99,157,224,214,216,215,215,213,192,195,199,203,205,206,255,255,241,231,212,206,229,239,218,194,173,167,153,113,111,214,220,218,216,214,214,212,190,194,199,202,205,206,255,244,231,237,221,206,219,229,209,182,159,159,140,98,177,225,216,217,216,214,212,211,190,195,199,204,207,205,255,232,229,234,214,190,215,232,204,167,142,145,117,143,226,220,221,218,217,217,216,215,185,188,191,194,200,195,253,243,235,224,211,188,203,230,187,144,133,128,118,195,208,204,206,203,202,202,203,195,124,124,124,124,127,117,245,255,247,230,214,193,191,223,175,136,126,116,107,116,115,114,114,112,112,116,104,123,110,112,112,110,117,99,230,255,252,235,226,199,175,219,184,134,115,108,106,103,102,103,101,101,102,92,142,231,119,120,120,122,126,106,212,255,249,227,223,200,162,210,186,128,111,105,109,111,109,108,109,111,98,158,252,242
21,46,63,83,99,109,113,125,135,142,148,152,155,158,162,164,166,168,169,168,168,167,167,166,164,163,161,160,160,45,64,86,100,109,115,128,138,146,150,155,164,165,165,170,172,174,174,174,174,173,172,170,170,169,168,166,166,47,66,87,102,111,117,129,140,146,160,167,108,149,178,174,176,178,178,179,179,177,180,179,175,175,173,172,170,48,68,88,104,112,118,132,142,147,165,174,98,84,185,176,180,181,181,182,183,185,133,157,185,178,177,177,176,50,70,90,106,113,121,135,144,151,160,182,135,56,160,185,180,184,186,185,186,200,117,83,192,183,183,181,180,52,72,92,108,115,123,136,146,154,158,195,155,59,119,195,184,187,187,188,189,207,137,60,179,191,186,186,186,53,75,94,111,117,125,139,149,157,159,193,174,66,77,194,188,189,190,191,194,209,140,59,158,199,188,189,188,54,77,96,113,119,128,140,150,158,161,182,183,92,59,175,193,191,193,194,197,206,130,62,146,203,191,193,191,57,78,98,115,120,130,144,153,161,166,176,201,135,65,144,201,191,196,196,200,200,136,67,145,205,192,194,194,58,80,101,117,123,133,147,156,164,170,173,209,157,74,106,204,193,197,197,204,203,145,70,153,207,194,194,193,60,83,103,119,124,135,149,158,165,171,171,210,169,79,78,195,198,198,198,208,192,133,72,163,205,198,204,209,62,85,105,122,126,136,149,159,166,173,173,207,186,101,68,172,203,200,200,214,175,121,66,186,219,200,168,122,64,86,107,122,127,139,150,161,168,173,176,198,210,141,78,140,210,200,201,218,180,120,68,150,104,56,29,12,66,88,109,124,129,141,154,163,170,176,178,185,195,151,85,106,209,200,205,215,171,124,59,16,4,7,10,24,66,90,111,125,130,142,156,163,171,175,187,177,123,104,90,82,198,204,207,200,155,115,40,6,7,11,0,7,66,89,111,123,129,141,155,164,170,171,201,188,148,161,88,56,171,206,185,171,142,93,31,0,0,12,8,0,67,91,112,124,130,142,156,163,172,173,209,214,194,191,107,58,86,138,149,149,116,70,9,12,0,0,15,4,68,92,113,125,130,144,157,164,171,173,208,225,214,183,121,74,52,70,117,134,100,58,0,2,10,0,2,10,65,90,113,125,131,144,156,164,178,134,133,184,212,186,158,100,81,76,70,83,81,54,0,0,15,2,0,2,77,94,112,123,130,144,154,169,199,139,108,101,177,152,170,136,114,117,70,37,56,52,0,0,0,16,0,0,73,72,78,82,85,91,83,148,213,184,153,91,98,128,110,142,130,120,98,55,35,41,12,0,0,9,10,0,74,73,75,75,77,81,66,150,187,193,171,117,61,70,76,56,100,126,122,95,58,28,22,0,0,0,11,5,79,81,79,81,84,86,73,154,155,132,179,135,69,32,75,39,33,148,158,133,102,54,25,0,0,0,7,5,79,81,81,82,85,87,74,166,182,122,135,156,82,55,53,64,35,110,193,164,130,89,48,6,0,0,1,6,80,81,80,81,83,87,76,166,181,137,78,110,118,105,62,72,69,118,142,192,156,108,69,38,0,0,0,7,79,81,81,80,83,88,74,151,184,118,73,66,103,130,85,92,105,150,130,174,179,125,80,59,0,0,0,1,79,80,80,81,82,86,74,122,181,125,112,89,75,103,111,127,146,163,196,170,154,101,91,64,6,0,0,0,78,79,79,82,82,85,77,103,191,158,128,93,92,108,133,151,188,190,193,163,128,62,83,57,7,0,0,0
15,86,83,82,81,83,84,86,87,90,99,110,122,130,139,145,149,151,154,159,164,168,172,176,179,181,183,186,187,86,83,82,82,82,84,86,87,91,100,111,122,131,139,146,150,152,155,159,164,169,173,177,180,182,184,187,189,85,83,82,81,82,84,87,87,91,101,112,123,132,140,146,151,152,156,160,165,170,174,178,181,183,186,188,190,85,83,82,82,83,85,88,88,92,102,113,123,132,141,147,151,153,156,161,166,171,175,180,182,185,187,189,191,86,84,83,82,83,99,112,104,100,105,114,123,133,141,147,151,153,156,161,167,172,176,180,183,186,187,189,192,86,84,83,82,88,137,148,128,120,117,116,120,130,137,139,141,146,152,160,167,172,177,180,184,186,188,190,193,87,85,83,82,89,135,138,121,117,113,108,116,121,123,122,121,126,131,141,153,165,173,179,184,187,189,191,194,87,85,83,82,84,101,106,98,97,94,93,107,107,106,106,115,123,121,123,129,139,146,154,166,181,190,193,194,87,85,83,82,83,86,87,86,88,88,91,97,96,94,96,113,120,118,118,124,130,126,118,121,143,180,193,195,87,85,83,82,83,85,85,86,92,100,109,113,114,113,110,113,110,106,108,123,135,130,117,111,107,140,185,196,87,85,82,82,82,83,84,86,92,104,116,126,134,140,141,130,111,105,122,137,143,136,122,121,110,103,151,191,87,84,82,82,82,83,84,85,93,105,117,129,143,153,148,134,119,125,156,144,140,134,135,135,124,105,108,155,86,83,81,81,82,83,84,85,93,105,117,139,166,156,132,118,111,116,147,126,119,141,152,139,141,125,97,100,85,83,81,80,80,81,82,84,92,105,117,154,175,137,114,113,112,102,112,98,105,158,145,133,151,140,107,82,85,82,80,79,79,80,81,83,91,104,116,151,161,119,112,124,129,120,104,89,106,144,118,124,152,145,115,88,84,82,80,79,79,79,80,82,92,105,115,145,151,111,116,133,141,131,107,95,103,114,111,125,140,132,110,88,83,81,79,78,78,79,80,82,92,104,115,150,170,132,122,133,138,125,101,94,100,106,115,123,119,103,91,81,82,81,79,78,78,79,80,82,91,104,117,154,173,168,147,124,112,97,86,92,99,104,112,119,110,87,77,75,82,80,78,77,76,78,79,81,90,103,119,167,174,171,166,134,101,71,63,79,95,107,116,122,108,84,75,74,81,78,76,76,75,76,78,80,89,102,117,147,162,170,165,148,121,79,46,48,72,106,117,115,99,82,78,78,82,80,78,77,76,76,77,80,88,101,113,126,139,151,147,141,127,107,66,46,61,101,121,113,98,89,88,87,113,110,107,105,102,100,100,101,106,112,119,125,133,136,129,124,131,141,101,60,68,87,115,124,115,105,97,92,122,119,117,116,115,115,116,116,115,115,114,114,118,121,120,119,128,153,119,83,84,83,96,108,107,99,91,85,113,113,112,111,110,111,113,112,111,111,108,106,108,111,113,113,113,126,115,107,109,106,105,101,92,86,81,77,115,115,116,114,114,115,116,116,115,115,115,113,115,116,116,117,117,118,117,117,119,119,124,122,105,90,81,78,116,118,119,118,117,116,117,117,117,118,118,117,118,117,117,118,118,118,119,119,118,119,127,134,127,106,94,96,117,118,119,119,118,117,118,119,118,119,119,119,119,118,117,118,119,119,119,119,118,117,119,133,154,133,123,125,117,118,118,117,117,117,118,118,118,118,118,118,119,118,118,119,120,120,119,119,118,118,117,132,182,178,161,153
16,159,166,170,170,174,180,184,188,190,194,199,200,203,205,206,209,210,212,213,215,216,217,219,220,220,219,220,221,161,167,170,171,175,180,185,189,191,195,199,202,204,207,208,209,212,213,215,217,218,219,221,221,221,220,221,222,164,169,170,172,176,181,186,189,193,197,200,203,206,208,209,212,213,215,216,218,220,220,221,222,222,222,223,223,163,169,171,174,177,182,187,191,195,199,202,204,208,210,212,214,215,217,218,220,220,221,222,223,224,225,225,226,164,170,172,175,179,185,188,193,196,200,203,203,208,211,212,214,216,217,220,221,221,221,223,223,225,227,227,227,167,172,174,176,181,185,189,194,198,202,202,212,211,210,222,213,213,223,221,221,222,222,224,225,227,228,228,228,169,174,175,177,182,187,191,196,200,200,212,253,234,245,252,219,193,195,223,229,225,225,225,227,228,229,230,230,169,175,176,179,184,188,192,198,193,236,255,255,255,255,248,220,195,163,157,193,222,232,227,228,229,231,232,231,170,176,176,179,184,189,194,195,219,255,255,255,255,249,235,209,173,162,142,137,153,190,230,231,229,232,232,232,172,176,178,180,187,193,191,219,255,255,255,255,247,230,216,185,161,166,143,148,139,135,165,228,234,232,234,234,171,176,178,181,186,193,189,237,255,255,255,254,232,205,182,156,158,156,146,156,145,142,132,153,231,235,233,234,171,176,178,181,187,194,192,246,255,255,249,234,214,176,152,151,137,156,154,160,150,144,142,130,160,246,236,234,173,178,180,183,189,196,194,252,255,252,222,206,176,152,142,116,99,162,156,158,152,147,140,142,132,175,230,238,174,180,181,185,190,197,192,248,255,253,223,179,143,126,84,61,97,158,155,162,151,145,142,145,133,67,131,250,176,181,181,185,190,198,193,239,255,255,219,158,134,95,52,55,98,158,163,168,149,142,143,143,93,60,145,255,177,181,182,185,191,197,195,224,255,252,200,143,118,90,66,83,99,137,182,162,147,141,145,104,71,59,191,254,177,181,183,185,191,198,199,212,255,239,178,135,127,129,105,115,114,148,205,144,145,146,113,59,77,63,220,247,177,182,183,186,192,198,199,214,255,213,152,143,147,138,132,125,117,212,194,140,147,111,48,65,71,74,238,244,179,183,183,187,193,200,198,229,255,189,151,156,148,146,149,116,180,235,177,148,114,56,62,77,58,93,249,242,180,183,183,188,195,202,197,235,255,165,178,141,103,123,123,130,249,232,176,136,86,69,76,66,53,119,255,241,181,183,184,189,195,202,196,247,240,140,203,137,113,120,104,148,255,242,193,112,82,73,63,66,52,168,255,242,179,182,184,189,195,199,207,255,180,156,216,135,133,140,122,137,255,243,203,99,74,68,61,69,55,193,255,243,178,181,183,187,195,197,211,205,161,214,202,135,143,145,143,127,211,244,205,105,61,64,66,72,58,188,255,242,179,183,184,188,196,201,204,205,212,223,191,138,149,150,149,126,117,182,152,73,60,65,68,73,62,194,255,243,180,183,185,189,195,201,205,210,211,223,184,142,147,147,128,94,68,66,66,63,67,68,69,73,62,200,255,244,181,183,185,189,195,201,205,210,213,224,177,137,139,131,95,69,72,74,74,76,73,73,69,72,57,151,255,243,181,184,186,190,197,201,207,212,214,225,183,142,128,113,83,76,84,86,87,86,81,76,71,74,57,154,255,244,181,184,187,190,196,202,207,211,216,217,166,145,131,117,96,88,94,93,94,91,84,80,74,77,57,177,255,245
22,145,150,154,158,161,165,169,174,176,180,185,184,183,186,188,190,191,191,189,189,190,191,193,193,193,191,193,191,150,154,158,162,165,169,175,178,180,184,187,187,194,192,193,194,193,199,195,195,196,195,197,197,196,197,196,197,152,159,161,166,169,173,177,181,185,187,191,192,151,191,198,199,193,153,199,197,192,202,202,203,201,201,201,199,155,161,165,169,172,176,179,186,188,190,198,186,99,177,207,206,206,95,187,213,156,153,213,203,204,204,205,204,158,163,167,171,176,180,184,189,193,192,208,177,82,182,207,218,203,103,192,225,157,112,218,206,208,207,207,208,161,166,171,175,179,183,188,193,195,195,215,173,77,186,207,228,198,113,201,224,155,109,216,209,211,212,212,212,164,169,174,178,181,186,191,194,200,198,217,187,82,186,214,228,183,117,208,228,165,116,218,214,214,213,215,215,167,172,176,181,184,190,194,199,205,200,220,204,84,176,219,225,163,114,212,226,162,124,223,217,218,217,217,215,170,176,178,184,189,193,198,202,207,203,227,206,83,173,226,211,145,118,217,226,160,125,229,220,221,221,221,220,171,177,181,186,191,194,199,204,210,207,228,220,97,163,240,186,137,117,224,228,161,132,232,221,222,222,223,223,172,178,183,187,192,196,201,205,211,211,223,234,157,136,145,167,151,120,231,235,151,143,237,220,224,225,225,225,175,181,185,190,194,198,204,207,211,214,222,222,189,154,125,131,146,139,237,227,139,158,241,224,227,229,229,228,177,182,187,192,195,201,205,211,215,213,231,254,211,203,202,177,110,151,234,218,128,176,241,228,229,229,230,230,179,184,190,193,198,202,206,212,216,221,224,208,214,154,221,199,124,94,185,178,113,198,239,230,230,232,232,232,181,188,192,197,202,205,210,214,217,225,216,180,196,83,130,209,166,94,95,125,92,211,238,231,230,232,233,232,182,189,193,198,204,205,210,216,218,230,233,179,180,122,37,166,213,146,84,80,95,230,237,234,234,234,235,235,184,190,195,199,203,210,214,217,219,239,224,164,154,134,65,99,237,191,122,73,98,239,237,236,237,238,237,237,185,191,195,200,204,209,214,219,218,246,234,175,122,101,87,176,245,203,149,101,99,241,238,239,239,240,238,238,186,192,196,200,206,210,213,219,220,253,228,166,125,132,138,252,237,183,146,106,98,247,239,239,240,239,239,239,188,194,198,202,206,212,216,221,224,246,220,168,158,136,187,251,216,169,123,83,122,251,238,241,241,242,243,242,189,195,200,204,209,213,218,223,224,242,216,165,163,131,213,248,194,152,116,74,154,255,240,244,244,247,247,246,189,194,200,205,209,214,219,222,224,235,213,164,176,144,229,248,180,138,106,74,164,255,243,248,248,249,248,247,188,194,201,204,208,214,219,223,225,227,213,174,194,149,218,228,173,131,100,68,181,255,244,248,248,249,249,249,188,195,200,204,209,212,219,223,228,222,213,181,196,152,206,203,157,123,94,69,204,255,245,248,247,248,250,249,191,196,201,206,210,213,219,223,227,227,220,187,182,142,183,180,136,121,90,82,225,248,246,248,248,248,249,248,191,196,201,207,211,215,219,225,226,226,220,180,149,127,173,153,131,125,84,127,250,245,246,248,249,249,248,248,190,196,201,206,210,216,220,225,222,228,224,186,156,150,182,135,145,110,74,208,254,247,248,248,249,249,249,247,190,195,201,206,211,215,220,225,217,233,234,200,182,161,177,129,148,77,133,254,245,248,249,249,249,249,249,249
8,188,190,189,190,191,191,192,191,191,192,192,191,191,191,192,192,193,192,191,190,189,189,188,188,187,186,186,186,190,190,190,192,193,192,192,193,192,192,193,192,179,183,194,194,194,194,193,193,192,191,190,190,188,187,187,186,192,192,192,194,194,194,194,194,194,194,192,200,167,150,195,195,195,195,195,194,194,193,193,191,191,189,189,188,193,193,194,195,195,196,195,195,195,195,195,200,148,148,196,197,196,198,196,196,195,195,195,193,192,191,191,190,195,195,196,196,197,197,196,196,197,196,203,196,126,162,197,198,197,199,198,196,196,196,195,195,194,193,191,190,196,196,196,197,198,199,198,199,199,198,210,192,117,175,199,200,199,200,199,198,199,197,196,196,195,194,194,193,196,197,198,199,199,199,199,200,200,198,214,182,117,189,201,200,201,200,200,200,200,199,198,198,196,195,195,195,198,198,199,200,200,199,200,200,201,200,215,163,121,198,200,200,202,201,202,202,199,200,200,200,198,196,196,196,199,199,200,201,201,201,200,200,201,204,211,161,124,208,195,166,182,199,178,187,200,199,201,194,191,198,198,198,200,200,201,201,201,201,202,202,201,210,209,169,132,225,205,167,140,195,153,135,158,163,180,171,132,193,198,198,200,201,201,201,201,201,202,203,201,216,205,172,166,234,216,184,128,178,162,130,119,145,165,163,99,188,200,199,200,201,202,202,202,202,203,203,202,217,201,171,193,232,227,193,126,155,164,129,166,154,175,172,104,186,200,199,200,200,202,202,202,202,203,203,207,206,194,187,194,216,229,192,132,134,157,141,178,155,181,183,135,171,203,200,199,200,201,202,202,202,203,204,211,185,190,193,190,182,227,197,138,110,143,160,168,145,173,187,165,134,203,202,199,200,201,201,202,202,203,204,213,176,167,183,172,175,216,202,139,92,126,167,159,125,160,188,157,108,194,202,200,201,201,201,202,202,202,207,219,171,141,160,154,151,197,199,135,85,115,167,150,110,171,173,132,125,200,201,200,201,202,202,202,203,203,212,226,182,130,136,129,130,163,193,155,83,109,173,149,119,173,144,106,172,203,202,201,202,202,202,202,203,204,221,229,197,129,128,126,129,151,187,166,91,108,158,130,155,148,112,120,200,203,201,201,201,202,202,203,204,206,224,227,207,140,115,125,124,142,176,139,112,164,177,161,177,135,93,168,203,204,204,201,201,202,203,203,204,205,226,226,215,145,119,134,129,164,198,187,193,190,179,157,157,128,92,193,205,204,205,195,197,200,202,203,204,203,226,226,212,146,129,137,143,194,215,213,208,190,176,145,123,109,119,203,205,204,205,128,132,136,138,140,143,161,226,225,208,151,151,138,168,215,223,219,211,193,167,134,104,91,166,200,200,199,199,98,98,100,99,99,100,119,228,226,208,169,158,148,171,222,228,221,202,183,151,120,95,90,116,123,129,149,180,102,103,103,103,102,104,110,219,225,213,180,161,161,165,224,229,210,186,168,133,105,92,98,111,143,181,203,205,104,104,103,103,103,104,102,209,221,206,178,161,163,167,225,218,196,169,145,113,94,113,161,193,206,207,212,209,104,103,102,103,104,106,106,208,211,193,174,162,159,180,217,200,180,145,124,100,88,190,218,197,191,192,193,202,102,102,102,102,103,105,117,213,204,186,172,165,162,186,195,185,161,128,117,94,117,192,213,213,195,178,182,183,102,102,102,102,103,103,130,216,197,183,175,169,168,183,184,175,149,120,112,99,174,186,181,197,203,179,152,146
0,159,160,162,163,164,166,165,164,164,164,164,163,164,163,162,162,161,161,160,160,159,158,158,156,156,155,154,153,160,161,163,165,166,167,167,167,165,166,165,165,166,164,164,163,162,161,161,161,161,159,159,157,157,155,155,155,161,162,163,166,166,167,168,167,167,166,166,166,167,165,164,163,161,164,163,161,161,159,160,158,157,157,156,157,163,163,165,166,167,169,169,169,168,167,167,167,165,167,165,178,162,140,160,165,162,163,161,160,158,158,156,157,163,165,166,167,167,168,169,170,170,170,168,166,176,163,165,202,168,134,112,149,138,147,165,157,160,158,158,157,165,167,167,168,168,169,169,172,170,169,166,179,196,172,168,204,172,136,108,160,137,103,132,111,142,164,159,159,166,168,169,169,170,171,171,170,172,182,154,189,196,175,166,208,182,125,151,182,132,83,103,89,138,165,159,160,166,169,171,170,172,173,175,167,190,211,169,185,205,173,151,203,187,126,126,162,119,80,109,92,152,164,160,160,169,170,172,173,173,173,173,170,197,223,195,163,212,179,132,173,169,122,93,139,102,100,135,91,148,165,160,162,170,171,172,172,173,175,171,180,188,212,207,146,189,168,113,136,154,118,90,137,97,136,153,94,134,169,160,162,171,173,173,173,173,175,172,188,181,181,179,130,160,151,100,95,158,113,86,145,105,165,160,97,137,170,162,163,171,173,174,174,175,176,171,196,196,170,165,114,137,153,97,77,163,122,88,95,145,183,148,92,148,169,163,163,171,173,174,174,176,176,178,203,170,139,160,129,111,168,106,84,150,168,168,115,157,176,129,91,160,167,165,164,173,175,174,175,176,175,186,211,181,143,129,136,110,154,116,131,181,189,173,153,128,145,119,100,169,166,167,164,173,176,176,177,178,176,188,214,185,158,135,129,161,166,179,191,188,177,156,142,129,111,107,104,171,166,167,165,174,177,179,179,180,175,197,220,191,175,162,148,167,194,201,201,188,171,152,135,122,102,90,110,173,166,167,167,175,178,179,180,181,176,205,219,197,186,171,157,179,203,210,211,190,167,151,131,112,97,86,147,174,169,169,167,176,179,179,180,182,178,206,215,197,181,167,160,183,206,213,210,191,167,144,122,105,87,109,176,171,169,168,168,175,177,179,179,182,177,204,216,199,182,166,158,179,200,203,196,184,161,135,112,97,87,153,175,170,169,169,167,175,176,179,180,182,177,192,213,195,182,171,161,182,193,187,175,159,143,126,106,90,142,177,171,170,170,169,167,175,177,180,180,182,178,189,202,183,185,179,163,179,187,175,155,136,130,113,98,145,178,172,172,172,171,169,167,179,179,181,181,183,180,190,202,186,187,176,163,174,185,167,138,122,116,97,146,180,174,175,173,172,170,169,168,178,179,180,182,183,180,194,215,201,181,167,166,164,174,150,119,112,95,138,181,176,175,176,175,173,172,170,168,178,179,180,179,189,175,173,229,208,180,168,169,154,162,133,109,95,122,181,176,177,176,175,174,174,173,173,169,176,179,182,177,197,232,160,182,200,174,169,161,149,152,117,94,85,161,181,175,175,176,173,174,173,169,158,149,180,181,184,179,202,236,220,128,211,198,186,176,157,148,119,94,89,171,182,182,179,171,176,179,161,142,147,141,137,138,136,130,217,232,236,134,136,212,196,182,161,144,127,117,105,117,128,121,124,165,183,172,155,109,164,151,95,96,85,122,236,228,236,153,94,206,186,171,152,137,122,111,108,100,83,99,164,191,173,153,163,99,140,166
23,141,143,146,150,152,156,159,160,162,163,165,166,167,168,169,169,169,169,168,167,168,167,166,166,166,166,164,162,141,143,146,150,153,156,159,161,163,164,166,167,168,169,170,170,170,170,170,169,169,168,167,167,167,167,166,164,142,144,147,150,154,157,160,162,164,165,167,169,169,170,171,171,171,171,171,171,171,170,169,169,168,167,167,166,144,145,149,152,156,159,161,163,165,166,168,170,171,170,165,166,171,172,173,173,173,172,171,170,169,168,168,168,145,146,150,154,157,160,163,165,166,167,171,177,182,176,154,143,159,167,173,174,174,173,172,171,170,169,169,168,145,147,151,155,158,161,164,166,167,175,185,182,179,167,152,144,142,142,168,175,174,174,173,173,172,170,170,170,146,148,151,155,158,162,165,167,169,183,181,158,145,134,138,142,133,140,169,175,175,175,175,174,173,172,171,171,147,149,152,156,160,164,166,169,171,183,170,140,109,130,161,165,162,169,176,177,176,176,175,175,174,174,173,172,147,149,153,157,161,165,168,170,173,184,172,144,105,141,175,175,178,179,179,179,178,178,176,175,175,175,174,173,148,150,154,159,163,165,168,170,174,187,176,156,130,159,173,148,165,180,180,180,179,179,178,177,177,176,175,174,149,152,155,159,163,166,169,171,176,192,189,187,186,189,168,118,139,179,182,181,180,180,180,179,178,177,177,176,150,153,157,160,164,167,169,173,181,200,206,206,196,180,142,109,129,171,181,182,182,182,181,181,180,179,178,178,151,154,158,161,165,168,175,185,194,203,207,202,191,167,116,116,133,131,153,169,178,183,183,182,181,180,180,179,152,154,158,162,166,172,192,199,199,202,204,198,184,149,101,109,125,97,99,119,146,179,184,183,182,182,181,180,152,155,159,164,167,176,198,196,192,196,195,186,173,133,91,87,104,93,88,97,114,167,185,185,184,184,182,181,152,155,160,165,168,178,200,197,198,202,197,185,164,125,92,78,81,89,92,99,111,163,186,186,186,185,184,183,152,156,160,166,168,176,206,209,205,194,176,159,138,112,96,79,61,75,92,101,115,166,187,187,187,186,185,184,153,156,161,166,168,175,206,206,186,156,129,112,104,104,99,74,52,71,94,105,119,170,189,188,188,187,186,186,154,157,161,166,169,173,197,191,164,128,100,77,85,103,94,69,64,80,96,106,121,173,190,190,189,189,188,187,154,158,162,167,170,171,190,185,153,114,87,69,82,83,72,68,79,90,96,106,131,179,191,191,191,190,189,188,155,158,163,168,171,169,186,183,149,117,94,75,63,58,68,80,93,99,100,115,157,189,192,192,192,191,189,188,155,158,163,168,171,168,184,183,154,124,103,89,70,66,86,100,107,109,107,137,184,194,194,193,193,192,190,189,154,158,164,168,172,166,182,186,158,129,109,100,86,81,99,111,114,112,114,156,193,196,195,195,194,194,192,191,155,159,164,169,172,166,179,183,157,133,114,105,94,87,102,112,113,111,123,172,196,196,196,196,195,194,193,193,156,159,165,170,173,167,176,180,155,133,115,106,98,93,103,110,113,115,145,189,197,197,197,197,196,194,193,193,156,160,165,170,174,171,175,175,152,131,114,105,102,100,105,110,115,137,177,197,199,198,198,197,197,195,194,193,156,160,165,170,175,173,175,172,146,125,111,106,105,104,105,112,135,176,196,200,200,200,199,198,197,196,195,194,156,159,165,170,174,173,177,173,144,122,110,107,107,106,106,116,160,194,199,200,200,200,199,199,197,196,195,194
16,168,168,168,168,169,169,170,170,170,171,170,170,170,171,171,171,171,171,171,171,171,170,171,171,171,170,171,171,169,169,170,170,170,171,170,171,172,172,170,171,171,171,171,172,172,172,172,173,174,172,172,173,173,172,172,171,170,170,170,171,172,171,171,171,173,173,172,173,172,172,173,172,173,173,174,175,174,174,174,174,174,174,174,173,170,170,171,171,172,172,172,173,173,173,174,173,174,174,173,175,177,177,175,173,173,173,175,174,175,175,174,174,170,171,171,172,173,173,173,173,174,174,175,175,175,174,172,160,159,158,173,180,174,175,174,175,175,175,174,173,170,171,171,173,173,173,174,173,174,174,172,166,164,177,185,147,131,123,112,149,181,179,174,176,175,175,175,174,170,171,171,172,174,175,175,175,175,175,169,150,159,189,185,162,146,134,106,79,110,164,182,175,175,176,175,175,170,171,172,174,174,175,174,168,161,192,181,158,173,190,177,167,158,135,100,95,76,84,138,183,175,176,176,175,172,172,173,174,176,173,183,165,165,185,179,164,176,191,165,159,151,129,88,99,86,81,73,129,183,176,177,176,173,173,174,175,175,173,195,175,169,178,178,175,170,180,154,153,141,118,85,90,82,85,84,69,131,186,175,178,174,174,174,176,174,175,182,175,164,179,183,178,173,177,157,151,134,105,84,81,77,83,84,82,66,154,185,177,173,173,174,174,176,179,173,180,175,170,185,179,176,186,169,152,127,96,80,72,74,82,82,82,70,103,186,177,172,172,173,171,184,177,172,182,187,172,179,178,177,184,172,148,116,90,71,61,76,85,84,80,74,83,178,178,172,173,173,173,178,179,176,176,185,173,180,184,183,182,171,139,103,84,53,58,76,87,89,92,74,93,183,177,173,173,174,175,174,181,185,178,187,181,154,191,188,179,172,133,94,61,33,59,73,82,96,91,76,102,186,176,173,173,174,175,175,181,186,188,164,176,158,182,188,181,174,127,84,35,28,51,64,79,102,85,75,108,185,176,173,174,174,175,176,175,176,196,139,147,177,173,183,186,169,120,77,35,25,38,57,87,108,82,71,132,187,177,174,174,175,175,175,175,165,175,193,169,163,173,186,189,163,118,73,50,38,31,63,106,108,82,72,149,187,179,174,175,176,176,176,176,169,156,178,175,168,172,189,189,159,112,71,64,66,50,82,129,118,87,70,147,186,179,166,168,170,171,173,175,179,167,168,169,160,153,182,188,155,104,72,73,74,60,102,149,143,105,67,155,187,177,103,107,109,111,114,118,121,123,124,125,102,105,172,188,154,95,76,79,80,72,112,150,155,129,76,142,183,190,92,92,92,91,89,91,90,88,88,89,91,84,169,193,155,93,96,88,83,82,118,148,160,155,100,135,197,209,96,97,98,96,95,97,97,97,97,97,101,85,158,198,150,99,138,103,94,82,105,141,156,164,122,145,198,205,94,95,95,95,95,95,97,96,96,97,99,87,137,195,146,107,165,118,107,97,82,120,150,147,116,103,199,192,94,95,94,96,96,96,97,96,97,98,101,88,128,208,138,122,182,138,121,111,93,82,121,128,97,125,172,175,94,95,93,94,95,96,97,95,97,98,100,88,126,202,107,159,188,154,135,125,104,81,80,89,91,180,138,154,94,94,94,94,95,95,95,96,97,97,98,94,105,125,145,192,184,163,145,134,111,87,79,74,86,198,171,138,93,95,93,96,95,94,95,97,98,97,97,99,93,98,186,193,188,169,151,139,120,91,80,77,87,201,195,172
15,133,134,126,71,144,97,0,65,76,76,78,83,87,94,111,124,134,143,146,150,156,161,168,172,177,180,182,184,139,139,124,74,152,87,1,70,75,77,80,85,88,94,113,126,138,144,147,151,158,164,170,174,178,182,184,186,143,145,119,81,161,77,5,75,75,77,81,86,89,96,115,128,140,146,149,154,161,167,173,178,180,183,186,189,147,151,115,88,168,64,9,78,74,78,82,87,89,98,117,129,140,149,152,155,162,167,174,179,183,184,188,190,148,156,108,98,171,52,18,80,75,79,83,88,89,99,118,130,142,150,154,157,164,171,177,180,184,188,190,193,152,161,100,109,171,43,28,83,77,82,85,89,90,100,118,133,144,151,155,159,167,174,179,181,186,190,192,195,155,165,95,121,168,23,26,75,71,73,79,86,89,101,120,134,146,154,157,161,169,175,180,184,189,192,195,196,158,169,92,151,172,104,101,124,115,111,105,98,93,102,119,134,146,157,158,162,170,175,181,186,189,193,196,197,163,165,112,190,151,151,148,175,159,157,159,164,145,128,116,130,142,144,147,167,171,175,182,186,190,196,197,199,163,165,95,147,99,106,106,142,122,116,155,173,147,122,128,161,170,147,114,111,177,179,183,189,192,196,199,201,166,166,84,160,117,46,75,103,98,92,135,155,131,104,145,175,164,162,172,95,113,185,187,189,195,198,200,203,172,162,82,182,136,0,70,83,80,84,88,117,117,141,189,163,149,180,183,157,92,99,193,193,195,199,202,206,177,157,84,190,120,0,79,84,82,80,93,135,139,142,183,143,139,175,160,176,129,74,99,197,200,198,205,207,181,152,91,198,109,0,83,83,81,80,182,167,110,97,107,102,145,156,157,155,133,110,63,93,191,208,204,208,188,145,98,206,95,2,87,84,78,92,192,180,128,87,46,56,148,174,162,114,103,100,87,60,75,186,213,208,196,139,111,210,83,7,89,82,82,67,151,203,165,146,123,130,142,145,132,86,73,83,76,75,58,76,206,212,202,130,122,211,70,12,93,80,80,126,178,183,177,147,125,127,119,115,124,96,73,77,74,69,68,48,119,228,205,123,134,208,59,19,96,70,158,184,165,141,163,130,82,101,98,96,99,82,72,79,76,71,68,66,57,157,208,115,143,207,48,25,97,74,169,145,118,105,124,94,69,73,71,69,70,73,80,96,94,72,64,71,67,65,208,108,158,205,35,32,98,78,102,97,74,99,97,70,65,82,67,54,89,93,104,116,99,64,62,70,71,67,210,104,170,199,26,40,96,81,79,81,80,118,174,131,94,91,87,71,81,95,103,103,85,63,64,73,76,73,208,101,183,195,18,47,95,81,82,83,86,84,107,110,77,56,101,126,60,69,101,94,75,70,71,80,76,73,209,98,201,194,10,54,95,80,80,82,84,87,91,109,124,138,150,128,105,99,85,77,73,77,82,80,75,74,205,98,212,187,3,60,95,79,79,80,82,84,93,116,136,150,166,151,62,86,112,115,103,92,74,58,52,47,198,102,223,176,0,67,94,80,79,80,81,83,92,115,132,145,168,122,51,46,127,100,54,31,14,8,7,0,190,104,230,164,0,73,89,77,77,78,79,82,92,113,132,147,168,96,65,66,14,22,23,10,5,2,0,0,179,113,238,149,0,77,87,75,74,76,79,79,90,112,131,151,156,80,59,66,41,0,31,14,7,2,0,0,170,125,244,137,0,82,86,74,73,74,76,78,88,110,129,153,134,64,62,59,58,0,13,15,1,0,0,0
22,111,113,116,119,124,126,129,132,134,135,133,140,140,140,138,135,143,140,143,145,142,144,144,143,143,143,143,142,113,116,120,122,125,129,132,135,139,140,85,124,147,143,153,81,126,151,133,133,149,147,146,146,147,146,145,144,115,118,122,125,128,133,136,136,143,134,58,114,153,150,162,64,114,162,127,73,150,149,148,148,150,150,149,148,117,121,125,128,132,136,139,139,149,130,42,118,153,157,159,72,125,166,131,59,145,154,151,151,152,153,153,151,121,125,127,130,134,138,141,142,154,133,45,120,156,162,151,75,134,169,130,61,144,156,154,155,156,156,155,154,123,126,129,132,136,140,145,144,157,149,50,118,159,165,136,72,140,169,135,71,149,159,156,157,158,157,156,156,124,128,132,135,139,143,148,147,160,160,55,110,163,165,120,71,142,170,127,73,157,161,160,159,159,158,159,159,127,130,134,138,141,146,150,149,164,161,53,108,172,151,102,74,146,171,128,74,160,164,162,163,162,162,162,162,129,133,136,140,143,148,151,152,159,176,83,96,162,133,100,71,154,174,125,77,166,164,163,164,165,164,165,163,131,135,138,141,145,149,152,154,159,170,124,93,77,103,116,75,163,176,116,86,174,163,165,166,166,165,166,166,132,136,140,143,148,151,155,156,161,172,145,122,104,90,94,92,172,169,104,98,178,165,168,169,169,168,168,167,133,138,141,145,148,153,158,156,171,185,158,145,161,140,73,85,164,155,92,116,179,168,170,169,170,170,170,170,136,139,143,146,150,154,158,162,161,133,156,83,148,147,94,42,102,113,64,133,179,170,171,171,171,171,171,171,138,141,146,148,152,157,159,164,167,135,136,54,49,147,130,72,42,68,47,148,179,171,172,173,172,172,172,172,139,142,146,150,153,158,158,170,172,119,121,93,8,82,162,113,56,37,49,166,177,173,173,173,174,175,173,173,140,144,146,152,155,160,160,175,171,125,97,76,43,61,179,147,90,49,48,172,178,176,176,177,177,177,176,175,142,145,148,152,155,161,161,183,178,124,79,69,56,146,181,145,105,71,51,174,179,176,177,179,179,179,179,178,143,146,148,153,155,160,163,184,167,121,92,95,104,189,172,128,94,64,54,178,179,178,177,179,180,180,179,178,144,147,150,154,157,162,164,178,163,118,115,89,135,187,153,117,78,46,79,188,178,181,179,180,181,181,181,180,144,148,153,155,158,164,165,175,159,115,114,92,155,187,136,102,73,40,99,194,179,183,181,183,183,183,182,181,142,148,152,155,159,163,167,172,158,117,131,101,164,184,127,91,63,36,108,195,180,184,184,184,184,183,183,183,143,146,150,154,159,162,166,165,158,125,142,105,152,163,118,85,60,31,125,194,181,185,185,185,185,185,183,183,143,147,151,154,158,161,166,164,158,132,140,106,143,144,104,79,55,36,144,188,182,184,185,185,185,184,183,183,144,148,153,156,158,163,167,168,164,133,120,90,122,122,87,78,53,49,169,185,184,185,185,185,185,185,185,184,145,150,154,157,160,165,165,164,162,129,99,89,125,103,89,83,42,97,190,182,185,185,185,186,186,185,185,185,144,149,153,157,162,165,161,168,172,141,117,109,132,90,100,64,45,163,189,183,184,185,186,187,186,186,185,184,146,150,156,160,164,168,159,166,171,149,137,117,123,87,94,36,105,193,181,183,184,185,186,187,186,186,186,186,117,123,130,137,142,144,145,164,147,135,141,113,114,88,69,37,148,189,183,183,184,186,185,186,187,187,186,184
2,180,180,180,180,180,180,179,178,177,176,175,174,174,172,171,170,168,168,166,165,165,164,163,161,160,159,157,155,182,182,182,182,182,182,181,180,180,179,177,176,175,174,173,172,171,169,165,167,167,166,165,163,162,160,159,157,185,185,185,185,185,184,182,182,181,181,179,178,177,177,175,170,162,151,124,136,160,165,165,165,164,161,160,159,187,187,187,187,186,186,185,184,184,183,182,180,175,169,164,153,132,108,78,71,116,133,129,165,166,164,162,160,189,189,189,189,189,188,187,187,186,186,184,179,167,161,151,120,87,65,52,59,88,99,82,147,167,166,165,163,191,191,191,190,190,190,189,189,189,188,184,172,166,145,108,63,47,45,41,43,55,61,53,95,168,169,167,165,193,193,193,192,192,192,191,191,190,188,179,173,150,97,59,41,35,39,38,35,40,47,51,111,172,171,168,167,195,195,195,195,195,195,193,192,192,186,178,167,119,59,47,39,39,38,46,66,67,74,102,161,175,172,171,169,197,197,197,197,196,196,195,194,193,183,177,150,89,50,45,41,46,72,122,164,164,166,174,177,176,174,172,170,200,199,199,199,199,198,197,196,189,181,169,119,61,41,45,47,121,172,183,184,184,182,180,179,178,176,174,172,200,200,200,201,201,200,200,193,181,186,163,105,64,47,45,69,175,188,186,185,185,184,182,181,179,178,176,174,202,201,202,202,201,201,200,181,186,189,154,103,71,51,45,129,190,189,188,188,187,185,183,182,181,180,178,176,203,203,204,204,203,203,194,178,193,181,145,102,67,50,80,183,193,192,192,191,188,187,185,184,182,180,179,178,204,204,205,205,205,204,183,182,198,172,131,90,58,47,111,197,194,194,194,192,189,188,186,186,183,182,180,179,206,205,206,206,206,199,176,193,197,158,122,87,57,48,141,200,196,195,194,192,191,188,187,187,185,183,182,180,208,207,207,207,208,188,183,203,186,142,117,84,54,55,173,200,198,196,195,194,192,191,187,179,167,167,180,181,208,208,208,209,205,181,197,200,167,135,121,82,52,48,140,196,199,197,195,194,193,178,148,129,119,112,136,179,208,208,209,210,194,187,202,185,152,141,118,75,47,49,69,118,185,200,197,189,157,115,107,113,109,97,115,177,210,210,210,208,187,194,195,174,147,138,107,66,44,52,63,68,117,185,164,128,102,95,110,108,93,127,173,184,211,211,212,200,188,193,188,165,144,129,91,56,49,63,69,69,73,92,90,94,101,99,94,85,138,183,188,185,214,213,210,192,192,191,179,155,136,115,81,54,64,75,76,75,73,68,81,90,90,83,82,138,188,191,188,187,214,214,203,195,195,188,171,148,125,105,76,59,75,77,76,75,71,65,71,76,93,134,169,191,193,193,190,189,214,208,197,197,195,185,166,134,110,99,71,65,75,75,71,67,61,55,74,131,178,198,197,195,194,194,192,190,213,197,194,187,189,178,150,118,100,86,62,66,72,72,65,56,75,114,168,199,201,201,199,198,196,194,193,191,201,189,180,182,177,161,128,94,79,65,60,62,63,59,54,96,175,203,205,203,203,201,200,199,196,194,193,192,192,184,171,175,165,150,114,82,72,61,56,51,57,77,134,195,208,207,205,204,203,202,201,200,198,195,194,193,191,178,171,176,169,151,101,78,68,60,84,127,161,191,209,210,208,207,206,204,203,202,201,200,199,196,195,193,187,175,170,175,166,143,90,73,64,87,181,211,213,211,209,209,208,206,206,205,203,201,201,200,198,196,195,193
14,157,158,158,159,159,160,160,160,159,159,158,158,158,157,155,155,154,152,152,151,149,148,147,146,145,143,142,140,159,159,159,160,161,162,161,162,162,161,161,160,159,158,157,157,156,154,153,153,153,150,149,148,147,146,145,144,160,161,161,162,163,164,164,164,163,162,162,162,161,159,158,158,157,156,154,154,153,152,151,150,148,146,146,144,161,162,163,164,165,165,165,165,165,165,164,163,164,161,159,158,158,157,156,155,154,153,152,152,150,147,147,146,163,163,164,165,165,166,167,166,167,168,167,162,155,164,165,165,160,159,158,157,156,154,153,152,151,150,148,147,164,165,166,167,167,168,169,169,166,154,146,139,99,111,118,141,159,163,162,158,157,156,154,153,153,152,149,147,166,166,167,169,168,169,170,164,146,128,108,86,64,71,89,95,115,127,148,162,159,158,157,155,155,153,151,149,167,167,168,169,169,169,170,161,134,99,72,63,66,61,76,88,99,83,112,172,158,159,157,156,154,154,152,150,167,169,170,171,170,166,161,143,106,58,52,55,56,54,57,60,75,62,78,147,163,159,159,157,155,154,153,152,168,170,171,172,171,158,146,117,73,57,50,51,54,55,57,56,63,72,72,79,158,162,160,159,158,157,153,153,169,171,171,172,170,153,133,82,58,61,56,55,55,51,54,55,57,71,65,90,170,162,161,159,158,157,155,154,172,171,172,172,172,159,136,77,56,55,55,60,54,72,149,136,141,81,66,74,139,168,162,160,159,158,156,155,171,173,174,173,173,159,137,87,54,51,52,60,50,132,184,175,180,158,106,78,85,111,153,163,158,158,157,155,172,173,174,174,173,160,135,83,60,62,55,45,109,180,171,172,170,176,158,97,100,82,131,169,159,159,158,158,173,173,174,176,173,164,138,89,70,67,60,65,172,176,176,174,173,171,116,101,100,81,146,167,161,160,159,159,174,175,175,177,173,166,147,106,80,65,56,77,178,175,176,174,178,143,97,102,88,90,169,164,163,161,160,159,174,176,177,176,170,165,151,110,86,66,50,101,191,176,175,178,167,100,91,97,72,123,174,164,164,163,161,160,175,176,178,176,167,167,150,116,91,67,54,75,154,176,182,178,127,93,84,86,62,155,169,166,165,163,162,159,174,176,178,176,168,165,149,119,89,67,64,61,70,90,149,132,92,100,93,62,116,175,166,167,166,165,163,160,175,177,178,175,167,170,152,117,95,71,63,68,74,76,80,79,87,94,74,100,177,169,168,166,165,165,163,161,176,176,180,173,167,174,150,116,94,73,61,68,75,81,85,80,83,85,82,171,173,170,169,167,165,164,163,162,177,177,180,170,169,172,145,113,97,76,61,68,75,78,85,86,77,63,147,180,171,171,169,168,166,165,163,163,177,178,180,169,170,167,142,112,101,79,61,68,78,81,84,85,64,102,181,172,172,172,170,169,167,165,164,163,177,178,179,169,171,161,137,115,102,80,61,70,81,86,86,72,77,177,176,174,173,172,171,170,169,166,165,163,178,178,179,168,167,151,132,111,99,78,60,70,82,82,80,53,126,187,174,176,174,172,171,170,169,167,164,163,178,179,179,167,161,149,130,109,96,78,62,69,79,79,63,75,179,177,176,176,176,173,172,170,169,168,165,163,178,180,178,168,155,147,125,104,90,76,62,67,74,70,55,153,185,177,177,176,176,173,172,171,169,168,167,164,178,179,178,167,151,143,121,101,84,71,61,65,65,53,134,189,178,179,178,177,175,173,173,171,170,167,166,164
6,169,170,169,171,173,173,175,176,176,176,176,175,174,175,174,174,175,175,176,175,176,175,174,173,171,169,170,172,176,176,176,177,178,177,177,177,177,178,178,178,178,178,178,178,180,179,178,178,179,177,176,175,174,173,174,173,179,179,179,180,180,181,181,181,181,183,183,183,183,183,182,183,184,183,182,181,182,182,179,178,179,178,178,169,182,182,183,185,184,184,184,184,185,187,186,185,184,186,186,187,187,184,184,185,184,185,181,182,184,182,184,155,185,186,186,186,187,187,188,188,189,190,188,189,194,190,187,189,188,188,190,190,188,185,191,187,185,185,186,176,190,189,191,190,190,192,192,192,193,193,196,178,163,195,194,194,191,191,185,188,178,189,235,185,181,190,188,183,193,194,195,195,194,195,197,197,197,193,213,162,81,169,185,181,192,193,176,183,184,171,196,150,183,193,190,190,195,196,198,198,197,199,201,202,201,203,218,164,167,190,181,173,191,186,173,154,142,121,118,165,196,193,194,192,198,200,202,201,203,203,206,206,201,201,205,211,217,200,170,161,131,118,105,100,114,154,194,202,196,197,196,194,202,203,204,205,205,206,199,193,196,201,208,206,183,156,131,102,101,122,151,187,205,210,205,200,199,198,197,196,205,206,207,207,209,207,189,185,186,188,172,135,102,85,100,167,202,208,213,209,206,206,206,203,202,201,201,199,208,208,209,207,217,217,211,209,164,126,127,112,86,101,183,214,218,215,209,211,209,209,209,206,205,204,203,203,211,211,211,209,224,226,237,195,126,115,116,133,143,142,130,130,154,191,218,212,212,211,212,211,209,207,206,205,213,213,212,217,231,232,242,178,141,157,126,118,135,147,134,128,122,94,190,222,213,214,215,214,211,210,209,208,214,215,214,228,242,238,239,227,229,207,139,106,121,130,118,111,117,77,168,231,216,217,216,215,212,211,211,210,217,217,218,235,245,238,238,241,245,216,147,101,118,129,132,119,108,84,161,232,217,218,218,219,216,214,214,213,219,220,222,233,240,239,238,237,232,223,194,152,114,97,122,128,123,101,95,225,221,219,219,219,220,219,218,217,221,221,219,239,236,241,237,237,235,238,241,201,127,91,114,122,115,91,112,232,223,222,220,221,222,221,220,219,222,220,221,239,243,244,241,241,236,237,242,193,131,107,108,112,107,89,101,215,229,224,223,224,224,222,221,221,226,218,230,240,244,247,251,241,234,239,222,166,123,115,109,109,105,102,68,183,238,225,225,224,224,222,222,223,228,209,231,242,243,249,245,230,229,221,187,148,127,118,95,105,106,95,105,222,231,228,228,227,226,225,225,224,223,207,234,242,243,246,227,219,219,196,165,138,142,148,98,77,78,87,208,236,228,230,230,229,228,228,225,225,213,217,242,237,236,228,212,209,209,190,164,155,150,154,72,47,84,195,242,230,232,231,231,228,229,228,227,227,205,225,239,233,227,218,207,204,198,188,175,163,133,101,142,179,227,243,236,235,232,232,232,230,230,230,229,228,203,229,236,220,215,206,211,211,191,176,170,140,91,139,255,243,239,237,238,236,235,235,234,234,233,231,231,229,212,228,227,217,212,196,203,203,181,168,148,116,84,216,243,237,237,236,236,237,237,236,235,235,234,233,232,230,217,223,215,212,204,187,190,182,169,150,123,89,148,251,238,241,240,239,238,239,237,237,238,237,236,236,233,232,217,219,221,213,196,186,179,170,144,119,95,99,229,243,238,240,241,240,239,240,239,238,238,238,237,237,236,234
11,182,181,181,181,181,180,180,180,177,180,177,175,175,174,173,171,170,168,167,166,163,162,161,160,157,156,154,156,185,185,184,185,184,184,185,183,186,155,176,179,177,177,176,175,173,171,170,169,167,165,163,162,160,158,162,144,189,189,188,188,188,189,189,187,197,141,137,191,181,181,180,177,176,175,173,171,170,168,166,163,163,162,108,52,193,193,193,192,193,193,192,192,188,170,107,174,190,184,183,181,179,177,176,174,172,172,169,167,162,91,33,33,197,196,196,196,197,197,195,196,192,184,118,138,198,187,187,185,184,182,180,178,177,174,172,176,115,50,44,45,201,200,200,200,200,199,199,198,196,184,130,116,200,190,191,188,188,185,184,182,180,177,178,168,69,64,57,43,203,204,204,204,203,202,202,202,200,189,163,104,187,199,194,191,191,189,188,186,184,180,184,158,59,64,57,52,206,206,206,205,206,204,206,206,203,206,179,100,168,206,196,195,194,191,190,189,187,182,187,153,60,55,41,45,210,210,210,208,208,208,209,208,205,208,187,103,150,212,197,198,197,194,192,191,189,185,192,138,49,56,36,51,211,212,211,211,211,210,209,211,208,191,184,121,126,212,201,199,198,197,197,194,192,187,198,125,41,52,35,42,213,213,212,213,213,214,213,212,214,192,185,164,106,189,212,207,201,200,199,197,196,191,199,113,41,49,32,39,215,215,215,216,215,216,216,214,217,206,192,199,125,165,145,176,210,201,201,200,198,196,194,81,42,31,33,50,217,217,217,217,218,217,216,215,216,212,190,199,209,199,105,106,216,203,204,203,200,198,196,97,86,96,83,58,218,219,218,219,219,218,219,217,219,220,197,204,180,147,119,86,201,210,206,204,201,199,190,173,168,161,144,93,220,220,220,221,221,220,222,221,210,178,202,216,160,79,105,89,170,218,206,205,203,193,190,186,165,123,96,79,222,222,223,222,223,225,221,211,204,129,114,184,154,86,89,93,133,220,205,209,193,197,199,175,122,110,91,58,224,223,224,224,225,223,212,215,196,141,100,117,159,108,82,94,96,213,218,203,177,189,186,121,99,160,153,52,224,225,227,226,223,211,219,198,154,156,132,94,136,129,77,93,89,153,193,163,172,179,133,118,166,174,163,104,227,226,227,228,216,211,195,151,100,134,137,99,104,134,80,87,101,79,106,148,168,143,115,206,156,128,145,144,229,229,229,229,214,210,193,158,93,99,151,73,67,137,95,77,134,111,108,145,147,102,183,212,191,66,125,145,231,232,230,231,209,210,196,153,105,92,123,46,54,144,94,70,154,126,105,133,99,132,218,202,213,157,143,156,232,231,231,233,218,204,194,175,159,110,71,59,57,142,122,88,104,119,120,108,89,202,213,208,205,208,176,142,233,232,232,234,230,205,200,190,169,137,96,81,101,148,144,104,118,164,126,78,165,223,209,209,205,208,180,136,233,234,234,234,235,215,198,189,182,153,122,93,110,173,154,114,145,135,100,87,211,216,212,210,207,209,184,116,234,234,235,234,237,223,203,191,178,155,125,108,100,153,180,160,142,119,77,127,229,214,213,212,210,210,188,105,233,233,234,234,234,230,198,189,167,155,133,116,106,130,156,148,134,103,71,195,223,214,212,211,208,212,180,144,234,234,234,235,233,237,209,181,173,158,143,128,111,110,131,123,113,69,147,227,213,213,211,211,213,202,158,156,235,235,236,236,233,236,230,182,172,160,151,133,109,96,108,101,74,119,226,216,216,214,212,209,165,151,150,157
7,166,168,171,172,174,175,176,177,178,178,178,179,179,180,181,179,178,179,179,178,179,178,177,176,175,174,171,171,169,170,172,174,176,176,178,180,180,179,180,181,181,181,181,182,181,180,181,180,181,181,179,178,177,175,174,173,171,173,175,175,177,178,180,181,182,181,182,182,182,181,181,182,182,182,182,181,181,182,181,180,180,177,176,174,171,174,175,177,179,181,180,181,184,183,183,184,184,183,184,185,184,184,185,184,183,183,183,182,181,179,178,177,173,175,176,178,180,181,183,184,185,184,184,185,186,187,187,187,188,186,186,186,186,185,185,184,182,181,180,179,174,176,179,180,181,183,185,185,186,187,187,187,187,188,188,187,188,187,188,187,188,187,186,184,183,182,181,181,175,178,181,183,184,185,186,186,188,188,189,189,189,189,189,188,189,189,190,189,189,188,187,186,185,185,184,182,177,180,183,184,185,186,187,188,189,189,190,190,190,191,191,191,191,192,191,191,190,189,189,188,187,187,185,183,180,181,183,185,187,188,189,191,191,191,193,193,191,192,193,193,193,193,193,192,192,191,190,189,188,187,187,186,180,182,184,187,189,190,190,190,194,194,185,190,193,193,193,194,194,195,195,194,192,192,189,189,191,189,188,187,181,184,186,187,188,190,194,199,205,201,169,155,174,186,185,184,187,190,185,188,183,188,177,210,195,184,191,188,182,184,186,190,195,201,203,204,205,204,190,146,147,167,174,174,172,165,167,170,169,174,164,171,159,188,192,190,182,190,198,204,205,203,200,197,190,189,177,145,136,147,162,171,172,173,168,160,164,165,154,161,157,182,192,188,202,206,205,205,200,195,190,179,176,188,190,154,130,127,130,141,151,157,148,154,159,161,157,169,163,170,166,177,212,205,201,194,187,184,180,181,185,193,190,156,135,140,140,134,124,112,142,149,147,147,143,145,153,153,162,191,209,201,193,183,176,173,174,174,182,188,170,143,128,132,147,152,143,125,153,208,199,195,195,195,193,196,199,197,204,199,193,182,174,174,175,170,170,183,180,147,118,117,130,134,137,126,139,208,201,202,201,200,200,199,198,197,201,199,195,187,180,178,180,179,177,188,189,155,135,142,141,134,131,108,187,209,202,203,201,201,200,199,200,198,196,192,190,188,186,182,179,178,177,182,181,157,144,152,149,143,128,151,213,203,203,202,202,202,202,201,200,199,184,182,185,187,188,184,178,174,175,168,151,141,125,122,129,136,116,195,205,205,205,203,203,203,201,200,200,204,115,127,152,180,186,176,167,157,147,137,133,131,83,79,100,117,140,210,205,206,205,204,202,202,203,207,204,150,49,50,63,93,133,147,137,144,152,175,196,207,130,98,124,145,197,208,207,207,206,205,205,210,194,176,147,100,49,44,40,39,40,71,183,202,209,211,207,211,199,177,198,210,210,207,208,208,206,210,209,170,119,104,91,83,43,39,38,40,22,90,221,202,205,205,206,207,209,212,209,207,207,208,207,206,210,192,126,92,99,97,88,79,38,36,32,33,18,81,219,203,207,207,208,208,208,207,208,209,208,207,206,211,213,131,84,66,79,83,77,75,36,35,35,38,10,75,215,197,204,205,207,207,209,209,210,210,212,211,214,198,127,108,92,62,57,74,71,67,43,43,39,29,6,48,134,128,130,134,136,139,142,144,145,147,149,147,157,133,72,97,90,55,50,60,63,61,52,47,33,14,9,43,109,103,103,104,105,106,106,107,108,107,106,110,125,110,63,90,85,51,46,54,57,58
3,129,132,134,136,140,142,143,144,144,144,144,145,145,144,143,139,157,159,75,122,141,136,135,133,131,129,128,126,131,135,137,138,141,143,145,147,148,148,147,146,147,147,146,140,161,146,61,96,148,137,136,136,133,132,129,127,132,136,138,140,143,146,147,149,150,150,150,149,149,148,148,143,161,136,63,86,150,138,138,138,135,132,130,129,134,138,141,142,145,148,150,151,152,152,152,151,151,150,149,146,161,138,63,82,150,140,141,138,136,135,133,130,137,140,142,145,147,150,152,154,154,154,154,153,153,153,151,147,165,162,83,75,148,142,142,141,138,137,135,131,139,142,144,148,150,152,154,156,157,157,157,157,156,154,153,148,171,167,83,67,147,144,142,142,139,137,136,134,140,144,147,150,153,156,157,158,159,159,159,158,157,157,156,149,175,156,73,65,150,146,144,143,141,138,137,136,142,146,150,152,156,158,160,161,162,161,162,161,159,159,158,151,176,155,76,67,153,149,147,145,143,140,138,137,144,148,153,156,158,159,163,164,164,165,165,164,163,161,160,156,187,152,78,67,153,150,149,147,145,142,140,138,146,150,154,157,160,163,164,166,167,168,167,166,166,162,163,152,137,112,56,64,159,150,150,149,146,142,140,138,147,152,156,159,162,165,167,168,169,169,169,168,166,169,190,146,75,43,22,86,165,151,153,151,147,145,142,140,149,154,158,161,165,167,169,170,172,171,171,167,165,147,143,149,103,61,5,129,167,153,155,153,150,147,144,142,151,155,160,163,166,169,171,172,173,173,168,183,182,114,51,114,175,91,48,108,151,162,158,154,151,149,146,144,151,157,161,164,168,171,172,174,169,178,140,99,156,121,69,91,182,84,63,43,77,102,156,156,152,151,149,146,152,158,162,166,170,173,174,173,189,190,141,75,106,145,90,66,142,95,82,63,94,56,128,164,152,152,150,148,154,159,164,167,170,173,174,182,192,176,161,117,75,139,88,53,106,106,94,74,89,43,117,168,154,154,151,149,153,159,164,167,171,175,174,196,192,162,171,123,68,107,87,53,96,67,57,88,67,32,114,170,155,156,153,151,153,159,164,167,171,174,174,191,183,135,141,121,59,74,84,35,125,127,39,111,96,34,90,171,155,154,152,150,156,160,165,170,173,175,177,179,179,153,140,99,38,67,68,16,121,135,43,92,102,31,70,172,156,155,151,148,156,161,166,170,172,175,177,183,193,174,152,88,63,72,81,44,104,109,83,85,72,26,114,168,155,155,156,160,155,162,167,171,173,175,177,182,197,182,167,93,71,71,95,108,161,138,108,87,36,54,170,168,170,167,145,101,158,164,170,174,176,179,183,184,197,191,163,109,90,79,144,173,150,117,78,71,32,123,176,133,107,78,31,4,105,106,108,109,111,111,108,108,180,186,153,132,103,94,156,164,128,95,71,58,34,64,43,4,0,0,0,0,78,81,80,81,80,77,80,64,142,186,154,136,117,85,120,132,102,76,59,40,8,0,0,0,0,0,0,0,87,88,87,87,87,88,98,66,63,183,156,135,116,76,77,75,69,55,39,9,0,0,0,0,0,0,0,0,88,88,86,86,86,86,88,61,3,89,148,138,94,56,58,56,58,30,0,8,0,0,0,0,0,0,0,0,89,90,91,89,88,89,82,35,18,13,54,84,64,60,52,44,32,0,0,0,1,0,0,0,0,0,0,0,89,90,90,88,87,91,63,21,23,20,8,20,50,43,23,14,0,0,0,0,2,0,0,0,0,0,0,0
24,82,89,98,112,121,127,133,138,143,147,151,153,156,157,157,157,155,154,153,152,150,147,145,145,144,141,137,135,85,90,102,117,126,132,138,143,148,153,156,159,161,163,163,163,162,160,159,159,157,155,153,151,149,146,143,142,88,93,106,120,129,136,141,147,152,157,160,165,167,166,167,168,167,166,165,166,164,161,160,158,157,154,150,147,90,97,109,123,132,139,145,149,155,161,166,168,169,169,171,172,172,172,171,169,168,165,165,163,162,160,156,152,92,98,110,126,136,143,149,153,158,164,168,172,174,175,176,175,175,174,174,173,173,172,169,169,168,166,162,159,95,101,122,132,139,146,152,157,162,167,172,175,177,176,177,179,179,178,177,176,176,176,175,174,174,172,168,164,93,120,132,91,147,149,154,159,165,170,174,177,180,180,181,182,181,181,181,180,179,179,180,178,177,176,173,169,93,133,118,45,145,152,156,161,168,173,177,179,179,182,183,185,190,185,182,184,182,181,183,184,180,177,176,174,95,141,117,39,139,156,159,166,172,174,178,182,190,188,188,159,127,183,187,182,185,187,184,179,187,182,178,175,97,146,104,32,137,159,160,164,168,181,179,181,140,162,221,160,75,91,192,188,179,157,138,89,109,191,181,186,99,139,97,31,137,159,172,152,104,147,199,189,96,61,139,171,115,51,162,177,160,123,70,36,146,206,180,145,101,139,114,34,128,160,191,187,143,116,181,192,119,72,60,171,135,72,100,134,173,89,46,144,165,100,24,0,103,141,132,46,105,167,182,216,204,155,102,193,149,113,64,150,137,66,43,157,139,44,35,49,1,0,0,0,109,131,156,108,113,156,181,178,215,184,106,121,182,123,56,87,112,38,78,179,84,24,0,0,0,1,0,0,112,118,170,146,137,160,182,131,157,189,112,49,173,149,69,16,33,43,142,146,49,0,0,0,0,0,0,0,115,118,155,171,164,189,190,163,130,153,106,30,137,168,80,1,9,112,152,104,23,0,0,0,0,0,0,0,116,124,144,201,175,155,163,145,109,126,114,57,73,116,43,33,73,117,113,65,0,0,0,0,0,0,0,0,114,127,139,198,177,133,149,131,86,93,119,90,54,52,110,143,129,126,80,32,0,0,0,0,0,0,0,0,116,129,140,186,188,113,99,114,94,96,119,133,104,128,209,190,151,138,61,11,0,0,0,0,0,0,0,0,73,81,76,129,193,133,82,100,145,108,163,201,176,204,216,181,149,127,48,9,0,0,0,0,0,0,0,0,60,63,54,85,199,169,109,81,131,128,178,200,209,223,206,168,139,109,35,0,0,0,0,0,0,0,0,0,66,68,68,71,181,185,136,96,97,135,162,208,216,211,187,154,127,99,29,0,0,0,0,0,0,0,0,0,67,69,72,63,157,196,160,119,96,127,147,205,215,199,173,142,115,96,33,0,0,0,0,0,0,0,0,0,65,68,72,60,128,198,174,135,115,126,134,190,207,184,161,137,105,86,30,0,0,0,0,0,0,0,0,0,64,67,69,63,92,188,178,151,126,133,124,173,197,172,158,137,88,71,21,0,0,0,0,0,0,0,0,0,65,65,67,68,66,157,179,162,138,141,121,146,182,165,162,127,72,60,0,0,0,0,0,0,0,0,0,0,64,65,65,67,62,98,181,172,151,142,127,119,156,155,146,112,63,51,0,0,0,0,0,0,0,0,0,0,63,64,65,65,68,61,143,178,155,141,123,102,117,136,118,91,60,36,0,0,0,0,0,0,0,0,0,0
6,127,130,132,135,138,141,143,145,147,148,150,150,151,153,154,154,155,155,155,155,155,156,156,155,155,155,154,153,127,131,134,137,139,141,143,146,147,148,150,151,152,153,154,155,155,155,156,156,156,156,156,156,156,156,155,154,127,130,133,136,139,141,143,146,147,149,151,151,153,153,155,156,156,156,157,157,157,157,157,157,157,156,155,155,129,131,134,137,141,143,146,147,148,149,151,153,154,155,155,156,156,157,158,158,157,158,159,157,156,156,156,156,129,133,136,139,141,143,146,147,149,150,151,154,155,156,156,156,158,160,160,159,159,158,158,158,159,157,158,158,129,132,136,139,142,144,146,148,150,150,151,154,156,157,156,157,159,159,160,160,159,161,161,161,161,159,158,158,130,134,137,140,142,144,147,148,150,149,151,150,152,155,152,153,153,158,157,152,152,143,141,150,156,160,159,159,131,135,138,138,144,155,158,148,150,156,160,162,165,168,157,159,160,173,170,158,154,139,127,144,147,133,161,159,130,131,133,151,169,174,167,148,134,141,161,167,168,166,155,152,161,157,154,153,145,134,126,134,128,121,163,159,127,139,161,175,172,170,165,154,120,98,116,122,125,127,127,126,120,115,120,119,117,117,123,129,133,155,162,159,155,176,175,166,166,172,175,157,119,85,76,71,73,92,102,112,131,148,152,154,156,159,161,161,163,161,160,160,177,171,166,169,174,173,156,122,107,90,83,84,76,84,140,166,164,162,162,163,163,163,161,161,160,160,160,160,174,170,171,169,169,160,147,126,101,87,82,90,94,84,90,113,162,164,162,163,162,162,163,162,162,161,160,161,174,174,171,169,170,170,175,152,102,88,75,76,92,96,94,69,96,164,163,162,163,163,162,162,162,162,161,161,169,171,169,168,170,178,174,137,102,92,93,89,83,84,94,93,65,107,169,162,164,163,162,162,162,162,161,160,168,168,166,164,172,179,151,120,104,98,96,98,96,75,73,78,80,83,164,164,164,163,163,162,162,163,161,161,160,161,158,159,165,167,147,119,96,88,95,104,111,93,81,72,69,108,163,160,161,160,159,159,159,159,158,159,162,162,160,158,163,164,156,123,93,74,72,83,114,111,96,82,75,95,105,102,100,101,99,99,98,97,96,96,164,165,166,165,170,169,155,114,92,95,92,88,80,89,97,91,89,79,75,76,77,78,77,74,73,74,72,72,163,162,159,159,168,161,142,111,98,102,100,96,90,82,78,84,86,83,84,84,84,84,83,82,81,81,81,79,155,149,143,149,155,145,132,115,106,105,104,94,87,82,83,88,88,87,85,82,82,82,82,83,81,80,79,78,142,138,133,142,142,128,115,107,98,93,99,97,94,92,88,89,88,88,85,85,83,82,82,83,82,81,82,81,129,127,120,117,113,102,92,87,84,77,80,85,90,91,87,85,86,85,84,83,82,82,82,82,81,81,80,81,109,102,93,88,87,88,89,88,88,89,87,86,88,87,87,87,86,86,85,85,83,82,82,82,82,80,81,76,81,85,87,87,89,90,90,90,89,89,90,89,89,88,87,87,85,85,85,85,83,82,83,82,82,81,75,94,85,89,89,89,89,89,88,89,89,88,88,87,87,87,87,85,84,84,84,84,82,82,83,82,84,75,84,162,89,90,89,90,90,89,89,88,88,88,88,87,88,87,87,85,85,84,84,84,84,84,83,85,84,73,149,165,89,89,90,89,88,88,88,87,87,87,87,88,87,87,87,86,85,84,84,85,83,83,83,89,76,126,174,142
12,192,193,195,197,198,197,198,198,199,200,199,198,198,197,199,201,196,193,193,192,191,191,188,187,186,184,183,180,194,198,199,199,200,201,200,200,201,202,202,202,200,199,188,172,185,199,193,193,193,191,189,188,188,186,183,181,196,198,199,201,202,202,203,203,202,202,201,187,198,202,149,119,96,174,205,197,198,195,190,190,189,189,185,183,198,201,201,202,202,202,203,205,202,204,183,132,112,159,162,134,94,103,184,146,132,171,198,189,189,188,186,184,200,202,202,202,204,206,204,204,202,213,181,147,107,97,178,143,117,90,88,118,100,75,171,199,191,189,187,185,200,202,203,203,205,205,207,207,204,217,193,162,138,87,172,156,125,97,65,112,108,57,102,206,192,191,189,187,201,203,203,204,207,206,207,206,211,220,210,171,144,90,142,162,129,102,54,107,104,65,71,203,194,192,191,189,204,206,205,206,207,207,208,206,219,196,219,179,146,99,107,162,130,103,55,92,112,67,74,204,193,193,192,191,204,205,206,206,206,208,205,204,192,127,178,188,137,107,91,163,133,107,63,82,115,65,92,209,193,195,193,192,204,205,206,207,208,204,203,210,173,107,98,181,144,106,69,157,147,114,77,56,97,57,135,211,195,196,195,193,205,207,208,208,208,220,220,197,144,106,65,152,147,94,57,145,179,140,93,52,78,49,157,209,198,198,195,193,206,207,210,208,217,218,191,177,133,119,70,126,148,106,70,155,198,149,96,63,87,67,182,206,200,198,196,195,207,208,209,208,232,207,159,178,142,129,80,92,161,148,92,119,173,121,71,61,94,63,164,213,200,199,197,195,208,208,207,217,213,185,138,136,154,122,81,66,168,158,120,52,50,49,44,83,93,42,89,216,200,200,199,196,209,209,209,218,203,168,139,94,135,130,102,56,140,158,110,56,30,69,81,81,60,52,57,198,206,201,199,198,206,210,211,214,216,188,159,117,100,144,103,62,40,100,103,59,84,111,127,106,72,59,73,205,203,202,199,199,209,211,212,215,220,194,163,133,95,120,95,84,34,106,178,151,141,130,138,112,80,40,125,219,202,204,200,198,210,212,214,216,222,204,172,144,112,88,109,117,78,172,210,191,162,140,131,103,73,36,167,217,204,205,201,198,210,212,213,219,214,194,169,142,112,90,97,113,135,205,200,179,154,135,116,98,62,45,196,210,206,204,201,200,211,213,215,216,200,183,170,142,105,117,87,123,187,197,188,167,146,128,108,93,43,105,221,204,206,204,202,201,211,214,215,214,200,187,173,139,108,131,111,173,191,189,181,157,137,118,99,69,59,201,212,208,206,205,202,201,213,215,215,217,204,185,174,145,124,121,123,180,179,187,176,150,123,104,92,43,117,228,208,209,207,207,205,202,212,215,215,218,207,189,177,156,132,107,121,177,173,176,159,137,108,91,74,37,188,220,213,210,209,208,206,204,212,215,216,217,214,201,178,153,130,102,113,162,162,156,141,115,91,81,40,98,229,214,212,210,208,207,206,205,212,216,217,218,217,199,175,156,135,116,114,148,151,134,120,103,82,59,44,199,220,213,212,210,209,208,207,205,214,216,218,217,220,191,162,148,130,128,117,138,154,136,115,97,78,30,146,229,213,214,213,211,208,208,209,206,215,216,218,217,220,190,166,156,148,146,132,138,150,132,110,90,52,82,225,217,217,215,213,213,210,208,208,207,215,216,217,212,216,191,170,170,161,149,139,140,146,125,87,75,43,170,229,217,218,216,215,215,212,210,208,207
15,88,91,95,98,101,107,117,129,138,144,148,151,156,161,165,167,171,173,175,177,178,181,182,182,182,183,184,183,89,92,94,99,102,107,118,130,138,145,149,151,156,161,165,169,172,175,177,179,181,181,183,184,183,185,187,186,90,91,94,99,103,109,121,131,140,147,152,153,158,164,167,172,174,177,178,181,182,184,185,186,187,187,187,187,90,92,95,100,100,107,121,132,141,148,152,155,160,166,169,173,177,178,180,183,185,186,187,188,190,188,189,189,90,92,95,100,132,139,138,139,146,154,153,156,161,167,172,175,177,179,183,185,186,188,189,191,193,192,192,193,90,94,91,138,205,159,148,145,161,169,155,149,152,161,164,173,180,182,185,186,188,190,192,193,194,194,194,194,91,94,91,137,176,123,118,118,153,150,133,135,171,172,149,136,148,169,181,189,193,192,193,195,196,195,196,195,92,93,95,101,115,107,109,106,138,130,114,124,175,175,153,121,138,146,153,152,173,197,195,197,197,197,198,197,92,93,97,101,103,112,123,131,138,134,124,128,165,168,133,126,174,160,160,147,118,165,202,198,200,199,199,199,92,95,97,101,104,114,128,140,150,157,158,159,150,128,110,196,173,172,139,171,147,106,175,204,201,201,202,201,94,94,97,101,104,115,129,140,150,156,166,193,141,108,114,171,163,140,134,172,155,135,100,189,204,202,202,202,92,94,96,101,104,115,129,142,151,155,183,204,169,109,87,91,122,113,156,142,149,149,100,116,207,204,204,204,93,95,97,100,104,116,131,142,152,157,175,207,194,149,128,108,96,110,173,137,145,121,111,78,157,213,206,206,92,94,97,100,104,116,132,142,152,159,186,183,191,174,186,164,111,108,110,115,115,90,79,80,82,189,211,207,93,95,97,101,105,117,130,143,151,173,198,167,166,153,184,160,96,95,98,94,102,86,68,74,66,95,203,210,94,95,97,101,105,117,132,143,153,171,170,135,137,141,163,125,90,95,93,96,104,95,76,74,70,60,130,216,93,94,96,101,105,118,132,143,154,164,178,143,136,110,98,89,80,83,86,89,93,89,88,84,73,70,72,194,94,95,96,101,105,119,133,144,153,170,192,190,164,122,100,119,106,64,89,100,98,95,101,98,81,72,64,129,93,95,97,100,105,119,133,145,155,163,175,192,172,139,130,122,127,72,92,119,116,116,121,110,83,68,73,70,94,94,97,100,105,120,133,146,156,163,168,169,152,128,92,88,123,140,91,121,133,132,122,103,75,71,76,73,94,93,96,99,105,119,134,147,156,162,164,167,149,122,91,75,106,136,100,100,141,139,113,89,73,77,79,77,93,93,96,98,105,119,134,147,157,162,164,171,178,184,184,165,131,155,154,128,123,119,95,83,78,82,82,78,90,91,94,96,103,119,133,146,156,162,164,169,176,181,190,185,104,123,139,146,111,112,98,74,59,58,59,61,88,90,94,94,102,119,133,146,157,161,163,169,176,183,192,162,84,77,58,61,68,71,57,42,34,31,28,22,89,89,92,94,100,117,132,145,156,161,164,170,177,183,194,137,83,81,78,35,37,48,43,36,34,30,24,16,87,89,91,94,99,116,132,145,156,163,165,171,178,184,190,114,80,76,75,66,13,36,42,37,34,30,25,16,85,86,89,91,99,115,131,145,155,162,165,170,177,186,175,88,77,74,70,75,16,15,35,33,25,23,23,13,82,83,87,89,98,114,128,142,153,160,162,169,176,188,144,80,80,71,69,78,19,8,23,26,20,24,27,10
11,141,144,147,150,152,155,156,158,158,159,159,159,158,159,159,159,158,158,157,155,155,154,153,151,149,147,146,145,143,145,149,152,153,156,158,159,160,160,160,161,160,160,161,160,159,159,158,157,156,155,153,152,151,149,148,147,145,148,151,153,155,158,160,162,163,163,163,163,166,143,152,162,161,160,159,158,157,157,156,154,153,151,149,127,148,151,153,156,158,161,162,164,165,166,166,163,181,137,125,166,163,163,162,160,159,159,157,155,154,154,145,76,151,155,156,159,162,164,165,167,168,168,168,166,191,142,112,167,165,165,165,163,162,161,159,158,156,157,117,49,153,157,159,162,165,167,167,169,171,171,170,169,200,135,109,169,168,167,166,165,164,163,161,159,159,156,88,49,156,159,161,166,168,170,171,172,174,175,173,179,213,129,120,173,170,170,169,167,166,164,164,163,163,153,76,53,159,162,166,168,170,172,173,175,175,165,179,173,189,124,129,176,174,173,172,170,169,168,167,167,166,160,97,65,160,165,168,170,173,175,176,195,182,124,156,140,107,130,108,159,178,175,175,173,172,170,170,169,167,167,119,68,163,166,169,172,175,176,197,214,193,150,103,115,88,104,93,138,181,177,176,176,175,172,173,172,171,171,141,68,165,169,172,175,177,193,222,183,181,172,109,94,89,111,99,141,183,180,179,178,177,177,175,174,173,172,164,91,167,171,174,175,186,219,200,145,140,167,107,85,84,112,101,146,185,182,182,181,180,180,177,176,175,174,172,130,169,172,175,177,208,220,171,134,143,152,83,87,83,106,97,155,188,186,184,183,182,181,180,179,177,175,174,152,171,174,178,179,220,211,155,112,121,123,76,88,80,101,92,170,190,187,186,185,185,183,181,180,179,178,176,149,173,176,179,180,224,215,169,119,83,81,89,77,86,100,98,184,190,189,188,187,187,185,183,183,182,180,179,168,174,177,180,185,232,215,164,111,74,61,96,71,106,102,79,167,193,191,190,188,182,175,169,168,175,182,181,178,175,178,181,191,238,213,162,117,82,64,75,65,107,96,64,102,175,183,171,153,141,132,125,115,111,153,183,180,177,181,183,197,238,209,165,126,92,74,76,81,99,101,95,96,108,121,126,136,138,122,106,101,93,129,184,182,179,183,184,197,234,206,166,130,99,79,84,118,140,141,131,120,107,112,124,123,110,101,124,160,171,176,185,183,180,184,187,200,233,209,173,137,106,86,96,138,142,134,126,120,105,96,98,110,141,165,187,193,191,188,186,184,182,186,188,205,232,213,181,141,116,96,108,135,136,127,113,105,89,90,135,183,195,196,195,193,192,189,187,185,183,188,187,218,234,213,179,139,118,102,109,121,124,116,98,89,113,168,198,200,197,196,196,194,193,191,188,187,185,187,195,232,227,199,163,128,109,102,108,108,111,104,89,136,192,202,202,201,199,198,197,195,195,193,190,188,186,190,224,235,215,187,151,122,105,104,106,98,95,96,146,201,204,203,202,202,201,199,198,196,195,194,192,190,184,201,237,227,201,176,146,124,109,102,97,88,120,176,205,207,204,203,202,202,201,200,199,198,196,194,193,191,184,213,236,219,177,148,136,121,106,95,82,115,193,210,209,207,206,205,204,204,202,201,200,199,198,196,194,192,189,224,235,210,156,126,118,110,95,84,97,182,210,209,209,208,207,206,205,204,203,202,201,199,199,197,195,193,201,232,231,198,137,118,111,101,86,81,153,211,213,212,211,210,208,207,206,205,204,203,202,201,199,198,196,194
21,141,143,146,148,150,151,153,153,155,154,155,155,153,153,152,151,149,148,149,148,145,144,144,142,140,140,137,137,142,145,147,150,151,153,155,156,157,157,157,157,157,156,155,152,155,152,150,150,149,147,145,144,143,142,139,138,143,146,149,151,152,155,157,158,159,159,158,158,158,158,157,154,133,151,154,151,150,149,146,146,146,144,143,140,144,148,150,151,153,157,160,160,161,160,160,160,159,159,160,168,81,122,161,153,153,151,147,148,147,146,146,144,145,149,153,153,156,158,161,161,162,161,161,161,161,158,166,158,77,130,162,152,154,156,152,151,150,148,147,146,147,151,153,154,157,160,161,162,162,162,163,163,164,158,175,150,81,145,162,155,154,138,148,154,152,151,148,146,148,151,154,157,159,159,162,164,165,165,167,165,165,160,182,144,86,155,161,159,142,88,109,161,150,152,150,149,150,153,157,159,161,162,165,166,167,167,167,167,166,167,185,134,92,163,161,154,133,80,123,160,151,152,151,150,151,154,158,160,162,165,166,167,168,168,169,168,164,171,179,123,91,166,162,149,123,81,153,157,155,155,153,151,151,155,159,161,164,166,166,167,168,169,168,170,170,179,173,106,96,171,155,148,106,106,166,156,156,155,154,152,154,157,160,161,165,167,168,168,170,171,170,137,135,195,169,91,121,170,140,137,83,137,166,159,158,157,155,154,154,157,160,162,165,167,169,171,173,171,178,139,84,122,123,73,140,161,144,109,88,166,162,161,160,158,157,156,154,159,162,164,167,168,169,173,172,176,178,174,140,99,67,67,152,151,141,81,130,172,163,162,160,160,157,156,156,160,163,165,167,170,171,172,177,189,176,195,180,118,68,69,102,114,103,86,165,166,165,164,162,161,159,157,157,160,164,167,169,171,173,174,188,142,163,164,163,112,73,66,71,81,67,126,175,165,165,165,164,162,159,158,159,161,165,168,171,173,171,184,179,121,134,100,153,136,85,64,64,68,80,167,171,167,166,166,166,165,161,159,159,163,167,169,172,174,173,190,174,135,94,55,134,156,98,68,62,58,118,181,169,169,169,168,167,165,163,161,160,164,169,170,173,174,178,192,145,112,100,69,142,168,116,83,66,58,149,179,170,170,170,169,167,165,164,162,162,166,169,171,174,173,187,191,150,139,107,130,200,160,133,102,70,59,153,180,173,173,170,169,168,168,166,163,162,166,168,172,176,173,193,193,166,125,119,198,188,143,129,103,76,72,160,180,175,174,171,171,170,169,167,165,163,166,169,173,176,175,200,208,159,124,160,214,169,134,111,102,79,83,172,178,175,175,174,174,172,169,167,166,164,168,170,173,176,175,206,190,149,142,171,209,168,145,102,88,77,102,183,176,175,176,174,173,171,169,167,167,165,167,172,174,177,177,200,174,176,142,177,202,159,137,106,83,73,129,187,178,178,176,175,174,172,171,169,167,161,166,169,172,176,178,187,193,193,141,190,182,144,118,97,86,77,154,185,178,177,176,176,175,173,170,169,167,160,165,169,172,176,177,183,194,180,135,171,164,128,101,87,80,89,173,181,177,175,174,174,173,172,169,168,166,162,166,169,173,177,178,185,181,160,137,151,154,125,105,90,72,110,185,179,179,177,176,176,174,172,170,169,167,162,166,170,173,177,180,184,176,157,158,157,152,148,106,87,66,130,188,179,180,177,176,176,175,174,171,169,167,162,166,169,173,176,179,181,181,184,182,164,144,145,104,78,65,149,188,180,180,177,177,176,175,173,172,169,168
23,187,188,189,192,192,192,193,194,195,196,198,198,199,196,195,196,196,196,197,196,197,197,197,197,197,197,194,194,189,189,190,193,193,193,196,196,198,199,198,197,198,201,212,222,215,194,192,198,197,197,197,198,198,198,197,196,189,191,192,194,195,196,197,198,200,199,202,210,221,234,237,230,213,200,189,186,156,181,200,201,200,199,199,198,191,192,194,195,197,198,197,200,201,200,242,246,228,220,213,192,154,156,151,136,136,195,201,201,201,201,201,201,193,194,194,196,198,199,200,201,199,209,255,236,193,190,165,140,168,168,162,170,196,202,201,202,203,203,202,202,194,193,195,198,200,201,202,202,198,219,255,225,172,132,149,185,205,206,206,206,204,203,203,205,204,203,202,203,195,195,198,200,201,202,204,204,200,238,253,220,182,153,205,210,218,219,196,205,205,205,205,206,206,205,204,204,196,197,200,201,202,203,204,204,205,251,244,227,175,161,229,241,249,237,163,196,212,207,206,208,208,207,207,206,198,200,201,202,203,205,207,202,215,255,236,232,190,228,255,253,243,213,148,143,166,205,209,209,208,208,208,207,199,201,202,204,205,207,207,201,231,255,234,240,252,254,249,234,219,206,204,163,102,162,214,209,208,209,209,208,201,203,204,206,207,207,208,206,246,253,245,245,248,248,240,235,234,235,234,194,120,128,216,212,212,211,211,210,203,204,206,207,208,208,206,232,250,247,244,238,241,244,244,241,235,222,205,172,120,106,175,215,213,214,212,212,203,204,207,208,209,205,228,253,251,251,245,238,234,236,237,230,219,206,206,187,117,102,123,213,215,214,214,214,205,207,209,210,209,205,239,255,254,254,247,231,226,231,232,228,218,213,214,196,124,97,130,218,216,215,216,216,207,208,210,212,211,211,234,255,254,254,251,241,240,232,224,218,208,203,197,169,124,98,165,222,216,216,216,217,208,209,209,213,216,213,227,255,254,255,252,241,242,220,190,188,178,170,158,156,124,113,203,222,218,218,217,217,209,210,211,214,216,214,224,255,255,255,249,238,233,208,162,130,115,121,150,153,121,138,223,222,220,219,218,218,210,212,213,214,216,215,221,255,255,255,247,236,220,195,165,131,52,90,153,151,118,172,228,222,221,222,221,219,212,213,215,216,216,216,219,253,254,255,249,234,238,233,163,95,67,117,145,132,112,199,225,221,222,223,222,220,214,215,216,217,218,218,218,251,255,255,250,240,241,222,159,97,88,129,118,109,129,225,224,222,223,224,222,222,214,216,216,218,220,220,219,249,255,254,250,245,242,208,162,123,85,100,107,112,145,231,223,223,224,225,224,223,214,217,217,219,221,223,220,246,255,255,250,250,244,208,163,133,84,96,116,114,162,233,226,225,226,227,225,224,216,217,218,220,222,223,221,246,255,255,251,250,241,209,165,138,103,106,123,114,189,232,227,228,228,228,228,228,216,217,219,222,223,224,220,246,255,254,252,249,238,211,170,141,113,116,126,119,215,228,228,228,228,229,228,227,216,218,220,222,223,225,221,247,255,254,251,245,229,202,167,139,121,117,120,144,234,228,229,229,229,229,229,228,217,220,221,222,224,226,222,245,255,254,247,234,216,191,159,138,129,121,112,197,235,230,231,231,231,230,230,229,220,222,223,224,224,228,224,245,255,254,244,222,200,173,151,142,132,116,141,232,232,231,230,232,231,231,231,230,221,222,224,225,226,229,225,246,255,254,243,219,198,173,152,139,129,124,214,235,231,231,232,232,232,232,231,230
10,64,64,66,69,70,81,98,110,131,129,122,142,144,151,154,158,162,165,167,170,173,174,175,176,176,177,179,179,64,64,67,69,70,83,100,109,146,136,92,132,152,151,156,160,163,167,170,173,175,176,177,179,179,179,181,181,64,65,67,69,71,84,101,115,134,140,105,87,143,157,158,162,165,169,172,175,177,178,180,182,182,182,182,182,64,65,67,69,72,87,104,119,128,133,114,85,89,161,161,164,168,171,173,177,179,181,183,183,183,184,185,184,65,65,68,70,73,90,107,120,129,135,116,99,74,120,170,165,169,172,176,179,182,184,185,185,185,186,187,187,64,65,68,69,74,92,108,122,132,136,134,113,96,75,151,172,171,175,179,183,184,186,188,188,187,187,189,188,64,65,68,70,74,93,109,124,131,136,148,133,104,80,93,175,173,178,182,183,185,188,188,189,189,189,190,190,65,66,68,67,80,97,114,123,145,110,131,155,124,110,74,151,183,179,183,186,187,188,189,189,191,192,192,192,65,67,64,107,125,82,100,133,155,96,84,160,148,122,87,110,186,179,184,186,188,189,191,191,192,193,194,193,64,67,62,115,116,67,59,89,122,102,62,120,167,121,97,75,168,184,184,187,189,192,193,193,194,195,195,194,64,67,66,74,87,69,63,57,66,98,83,68,150,131,96,72,123,194,184,189,190,193,195,195,195,195,196,196,64,66,69,68,84,87,66,61,61,97,105,82,81,129,108,107,73,172,191,190,192,194,195,196,196,196,196,198,64,65,69,70,85,106,108,87,66,90,118,100,70,71,94,111,72,119,197,190,194,194,196,197,197,198,199,199,64,65,68,70,87,106,124,137,116,79,122,119,95,63,65,85,79,75,180,195,195,196,196,198,199,199,200,200,63,64,66,70,88,106,118,145,154,89,71,145,123,92,62,59,71,63,159,200,194,197,197,198,199,199,200,201,63,64,65,70,89,111,127,148,157,124,43,124,156,115,88,67,68,59,144,201,192,195,195,198,198,199,200,201,63,63,64,71,86,132,148,140,171,144,68,74,173,131,112,85,66,55,129,203,193,195,197,198,198,199,200,201,61,62,63,71,87,122,159,135,161,152,96,103,172,143,127,95,66,53,117,202,193,197,199,199,200,201,201,201,63,62,61,69,89,106,144,139,136,148,115,136,162,129,124,90,71,60,110,202,194,196,198,199,200,200,201,201,95,93,93,95,101,104,121,141,137,159,128,122,162,120,119,92,74,64,100,197,195,198,200,203,205,205,207,209,90,91,95,96,96,91,98,143,146,155,162,119,147,131,121,98,76,67,80,125,128,131,135,138,141,145,149,153,93,93,93,97,99,101,95,147,170,145,171,125,90,132,120,101,80,71,70,102,108,108,109,107,107,106,106,106,93,94,95,98,99,101,97,119,174,158,150,140,89,111,117,99,81,72,68,102,116,112,113,115,115,116,116,117,92,94,95,97,99,100,101,104,160,167,160,167,158,123,110,94,81,72,69,96,114,111,111,113,113,113,115,115,93,94,95,97,99,99,101,97,130,163,164,160,168,146,106,87,80,75,70,94,114,112,111,112,112,113,114,114,92,93,94,96,97,99,100,101,103,149,166,157,154,152,112,85,86,81,71,94,112,111,111,113,112,112,113,114,91,92,93,95,98,98,101,103,100,117,159,155,144,136,121,102,100,87,69,86,112,111,111,115,111,112,112,111,90,91,92,94,96,98,99,100,102,99,137,147,136,124,124,122,114,96,74,75,107,111,112,112,112,113,108,136
4,176,178,179,180,181,181,183,183,183,182,184,184,184,185,185,185,185,184,184,185,184,184,184,184,184,184,183,182,178,180,180,181,182,183,184,184,185,185,184,185,186,186,187,185,185,187,187,186,186,186,186,186,186,186,186,185,181,181,182,183,184,185,186,186,186,186,186,184,183,186,191,179,160,164,187,189,190,187,188,188,188,187,188,188,182,182,183,185,186,187,187,187,187,187,189,173,160,169,209,188,154,120,174,189,188,190,189,190,189,188,189,190,184,185,186,187,188,188,188,189,189,193,212,190,174,151,202,198,164,126,133,163,158,165,191,192,192,190,191,192,186,187,187,189,190,190,189,188,181,186,209,210,177,151,173,204,165,130,93,153,149,121,166,195,194,194,194,194,188,189,189,191,193,191,192,199,193,181,158,194,190,157,148,206,171,130,85,155,157,120,116,193,196,196,196,196,188,190,191,192,194,191,198,210,203,186,128,131,188,149,127,201,174,126,80,156,162,122,95,185,198,198,197,198,190,192,193,193,194,193,200,195,186,173,115,102,163,144,121,164,149,106,79,160,159,116,91,185,201,200,199,199,192,194,195,196,196,195,201,195,170,170,111,87,159,152,131,133,114,81,74,153,141,96,98,193,202,200,200,200,193,194,196,197,198,196,199,199,162,164,123,90,145,164,161,148,142,115,84,121,114,85,103,199,202,203,202,201,193,194,196,197,200,199,201,212,190,158,131,92,107,169,187,187,176,153,110,85,92,82,117,204,203,204,203,203,196,196,198,199,201,201,202,213,193,158,117,79,76,137,177,189,186,156,113,76,76,77,135,208,205,204,203,204,196,197,200,201,202,200,204,211,177,139,115,93,75,75,124,167,175,151,118,87,74,76,148,210,206,205,205,205,198,200,201,201,201,200,206,205,172,139,114,95,80,77,88,114,156,157,135,100,79,72,152,209,207,207,206,205,199,200,202,202,202,201,209,212,185,150,123,106,93,88,104,104,158,180,155,118,89,72,159,210,208,208,208,206,200,201,202,203,203,203,211,211,184,141,115,106,96,88,119,156,194,200,179,140,103,77,149,212,209,208,208,208,200,202,202,203,204,204,212,210,178,144,120,108,112,103,144,195,214,206,194,153,115,88,118,211,210,210,210,210,202,202,203,204,206,206,213,207,180,146,128,120,133,118,172,214,221,203,180,146,116,93,119,212,211,211,211,211,202,202,204,205,206,207,212,205,181,151,138,137,137,133,192,218,214,197,171,133,110,88,141,215,214,213,211,211,203,204,205,206,206,206,209,203,180,156,146,143,134,140,199,216,201,177,157,120,98,85,168,215,213,213,211,211,204,205,206,206,207,208,206,200,176,154,141,153,133,142,200,212,186,158,140,108,90,93,194,215,213,213,211,211,203,205,207,207,209,209,205,196,178,156,157,169,132,142,204,202,173,144,123,98,88,116,211,215,215,214,214,213,204,206,207,207,210,210,207,193,180,164,157,170,139,142,202,182,157,131,109,92,85,153,217,216,216,215,215,215,204,205,206,206,208,210,207,199,186,168,155,163,142,145,190,166,143,115,99,90,90,186,218,217,217,216,215,216,203,203,204,205,207,206,203,210,195,170,153,147,132,131,177,154,125,107,94,88,107,204,216,216,216,216,216,216,203,204,204,205,207,201,205,215,195,168,149,130,115,122,157,133,108,99,91,85,148,214,216,216,216,216,216,216,204,205,206,207,207,198,213,210,194,177,153,121,116,131,151,109,105,94,89,105,194,216,216,216,215,215,215,215
16,170,177,181,182,186,192,196,200,203,207,211,213,216,218,220,222,223,225,227,228,230,231,232,233,234,233,233,234,172,178,181,182,187,192,197,201,204,207,212,214,217,220,221,222,225,226,228,230,232,233,235,235,234,234,235,236,175,180,182,184,188,193,198,201,206,209,213,216,219,221,223,225,227,229,230,231,234,234,235,236,236,236,237,237,174,181,183,185,189,194,199,204,207,212,215,217,221,223,226,227,229,230,232,233,234,235,236,237,238,239,240,240,176,181,184,186,191,197,201,206,208,213,216,216,221,225,225,227,230,230,234,235,235,235,237,237,239,241,241,241,178,184,186,187,193,198,202,207,211,215,215,226,224,223,236,226,227,237,235,234,236,236,238,239,241,242,242,242,180,186,187,189,194,199,204,209,213,213,226,255,249,255,255,233,205,207,237,243,239,239,239,241,242,244,244,244,181,187,188,190,196,200,205,211,205,251,255,255,255,255,255,234,208,174,167,205,236,246,242,242,243,245,247,246,181,187,188,191,197,202,206,207,232,255,255,255,255,255,249,223,185,173,152,147,163,203,244,246,243,246,247,247,183,188,190,192,199,205,203,233,255,255,255,255,255,244,230,197,172,177,153,158,149,145,176,243,249,246,248,248,183,187,190,192,198,206,201,252,255,255,255,255,247,218,194,167,169,167,157,166,155,152,142,164,245,250,248,249,183,188,190,193,199,207,204,255,255,255,255,248,227,188,162,161,146,167,164,171,160,154,152,140,171,255,251,249,185,190,192,195,201,208,207,255,255,255,236,219,187,162,152,125,107,173,167,169,163,157,150,152,142,186,245,253,186,191,193,197,202,209,205,255,255,255,237,190,153,136,91,67,105,168,166,173,162,155,152,155,143,74,140,255,188,192,193,197,203,211,205,254,255,255,233,169,143,103,58,61,106,168,175,180,159,152,154,153,101,66,155,255,189,193,194,197,203,210,207,238,255,255,213,153,127,98,72,90,107,147,194,173,158,151,155,112,78,65,203,255,188,193,195,197,204,210,212,225,255,254,190,145,137,138,114,124,123,159,218,154,155,156,121,65,83,69,234,255,189,194,195,198,204,211,212,227,255,227,162,153,158,148,141,135,125,225,206,150,157,119,54,71,78,81,253,255,190,195,195,199,206,213,211,244,255,201,162,166,158,156,159,125,192,249,189,158,123,62,68,84,64,100,255,255,192,195,195,200,208,215,209,250,255,176,190,151,111,132,132,140,255,247,187,145,94,76,83,73,59,128,255,255,192,195,196,201,208,215,209,255,255,150,216,146,121,129,112,158,255,255,205,121,90,80,70,72,58,180,255,255,191,194,197,201,207,211,221,255,192,167,230,144,142,150,131,147,255,255,216,107,81,75,67,76,60,205,255,255,190,193,195,200,208,210,225,218,172,227,215,145,153,155,153,136,224,255,218,114,67,71,72,78,64,200,255,255,191,195,196,201,209,214,217,218,225,237,203,148,159,161,160,136,126,194,163,80,66,71,74,80,68,207,255,255,192,195,197,201,208,214,218,223,224,237,196,152,157,157,137,102,74,72,73,70,74,74,75,79,68,213,255,255,193,195,197,202,208,214,218,224,226,238,188,146,148,140,103,75,78,81,81,82,80,80,76,79,63,162,255,255,193,196,198,202,209,214,220,226,227,239,195,152,138,121,90,83,91,93,94,93,88,83,78,81,63,165,255,255,193,196,199,202,209,215,221,224,230,231,177,155,141,125,104,96,102,101,102,98,92,87,81,83,63,188,255,255
3,79,19,45,71,88,95,105,114,120,125,130,133,136,138,140,142,143,145,148,148,136,152,154,156,159,160,159,160,72,16,50,73,89,97,106,115,121,126,130,133,136,138,140,143,145,147,150,161,106,133,160,157,158,159,160,162,62,18,55,75,91,98,107,117,122,127,131,134,137,139,142,144,147,147,153,171,108,118,164,157,158,160,162,163,52,21,60,77,91,100,109,119,123,128,134,137,138,140,143,144,148,148,157,168,101,121,164,157,159,161,162,164,43,24,62,80,92,101,110,120,123,129,134,137,139,142,143,145,152,150,162,168,100,129,164,159,161,163,163,165,32,30,65,82,94,102,113,121,126,131,135,137,140,144,148,148,138,142,171,154,99,128,165,161,164,164,165,166,24,37,68,85,96,104,113,123,128,132,136,137,140,130,159,181,147,113,158,134,94,130,168,162,165,165,166,167,19,43,70,87,96,105,115,123,127,133,131,162,182,144,122,156,166,104,130,131,84,144,168,164,166,166,167,168,16,48,73,89,97,107,117,125,129,132,139,155,170,178,131,110,163,133,143,121,88,158,166,166,167,168,169,170,18,53,74,91,100,109,119,125,125,151,191,160,106,131,149,92,150,152,145,114,84,161,166,166,167,170,170,170,21,57,76,92,101,109,119,127,126,161,170,160,138,104,144,127,80,80,143,128,97,121,171,166,169,170,171,172,25,60,79,92,101,110,120,127,126,167,149,106,143,131,115,146,81,71,132,160,145,91,149,173,170,171,172,173,31,62,81,94,102,111,121,126,130,174,138,81,91,93,97,99,99,102,107,159,148,94,147,175,170,171,173,174,34,65,82,94,104,112,122,124,133,171,136,126,110,83,97,99,118,112,117,165,144,93,161,173,171,173,174,174,38,68,84,95,105,112,123,124,143,179,155,129,102,88,104,120,134,114,133,183,142,99,172,172,173,174,175,176,44,71,86,96,105,114,122,122,145,181,141,111,92,95,111,134,139,135,161,182,129,106,176,171,173,174,177,177,49,72,87,97,106,115,124,123,148,177,139,115,98,102,117,142,146,172,177,172,120,106,177,172,174,175,176,177,53,73,88,97,106,116,124,123,147,182,151,122,106,102,120,145,169,190,171,150,115,109,180,172,175,177,177,178,56,74,90,98,107,116,124,124,145,183,155,133,111,110,121,158,189,187,168,132,96,126,181,173,176,177,178,178,59,75,90,99,107,117,123,126,143,185,165,140,116,116,127,174,187,180,165,128,81,138,179,172,176,177,178,178,61,77,91,100,108,117,123,128,138,177,163,141,130,122,133,181,187,173,157,121,78,152,178,173,176,179,178,178,64,78,91,99,108,118,123,128,133,163,164,149,145,132,137,176,181,165,150,110,82,167,176,176,176,178,178,179,66,80,91,99,108,118,123,128,132,152,168,158,152,143,133,163,168,151,137,101,98,178,175,176,177,178,178,179,66,81,93,101,108,120,124,129,132,149,172,163,154,140,130,147,154,141,138,87,125,182,173,176,177,178,180,179,67,82,92,100,109,119,124,129,131,153,182,162,149,131,125,138,139,138,133,89,157,178,174,177,177,178,180,180,68,83,92,100,110,120,124,129,131,159,187,159,149,133,129,141,133,139,109,106,178,172,175,176,178,179,180,180,69,84,93,102,110,119,123,130,130,170,187,169,157,136,141,149,132,128,92,136,179,172,175,177,178,179,179,180,69,85,93,101,110,119,123,131,131,175,188,182,152,137,149,148,128,108,86,156,175,174,176,177,178,179,180,180
2,205,204,205,205,205,206,205,205,204,203,203,204,204,204,201,202,201,200,198,198,198,198,201,132,90,94,91,93,207,206,207,207,207,208,208,207,206,207,207,208,204,205,206,201,206,205,205,202,202,199,206,161,93,99,86,96,210,209,211,210,210,211,209,210,210,211,210,209,209,213,203,146,152,191,180,207,206,203,207,180,97,84,71,93,212,213,213,214,213,214,214,214,213,210,214,215,215,186,142,117,97,132,113,176,208,204,206,196,112,69,76,102,216,216,216,217,216,216,218,217,215,221,229,220,148,113,101,96,94,106,99,96,181,214,205,213,136,54,65,92,218,218,219,219,219,218,218,218,219,232,221,164,103,93,90,86,82,89,99,88,176,217,207,215,162,140,111,76,221,221,222,223,222,222,221,216,227,240,161,105,88,81,90,85,77,83,83,108,203,216,211,214,191,148,200,182,224,223,223,223,224,224,223,215,240,221,133,96,87,79,82,88,95,124,162,203,218,216,215,223,168,149,233,205,225,226,226,224,225,226,223,225,244,188,122,94,101,91,92,99,175,225,225,222,217,218,216,225,178,180,225,152,227,227,227,228,227,227,224,241,227,166,109,89,98,91,116,196,228,222,221,223,222,221,219,220,210,193,151,149,229,229,229,229,231,227,229,250,218,162,121,103,91,91,176,241,223,225,224,225,224,222,221,220,221,211,157,213,231,230,230,230,232,227,243,255,204,151,120,114,98,93,199,234,227,226,227,226,225,223,223,224,221,216,210,196,232,232,231,233,233,228,255,244,191,137,113,111,103,117,230,231,230,229,228,227,226,225,225,225,225,219,217,223,233,232,232,234,228,232,255,228,184,137,109,104,100,147,241,231,232,231,229,228,228,228,228,227,225,224,216,197,235,234,234,235,223,250,255,216,172,131,110,105,99,153,243,230,232,231,231,231,231,228,228,228,227,225,230,188,237,237,238,232,233,255,241,203,161,123,110,110,93,180,247,230,233,233,232,232,232,232,232,231,232,231,227,226,237,236,239,224,244,255,232,193,151,122,105,99,90,151,245,235,235,234,236,238,232,217,205,195,191,214,232,226,237,238,239,224,255,255,223,183,144,120,97,94,107,100,159,249,243,239,226,205,188,192,188,177,158,126,211,232,238,241,229,240,255,248,212,171,137,118,87,95,109,115,106,176,210,189,179,190,192,188,168,149,159,159,215,234,241,238,226,255,255,239,198,161,131,110,84,112,119,129,134,126,137,164,192,195,174,136,137,196,233,239,235,232,244,231,248,255,253,228,190,157,127,108,93,125,135,142,141,142,150,168,168,146,134,145,221,244,235,233,233,233,232,243,255,253,244,221,181,143,122,109,106,132,144,146,144,136,137,133,135,176,220,240,240,237,237,236,235,233,230,251,255,248,239,208,166,133,120,109,122,142,148,144,134,121,111,158,229,247,244,239,238,239,238,238,237,236,243,248,248,233,211,178,145,126,119,112,129,140,144,130,115,141,197,247,249,242,241,241,241,241,238,237,236,237,241,241,229,208,186,162,136,123,116,120,128,136,132,108,165,244,251,244,245,244,242,242,243,240,240,239,238,237,239,230,207,183,174,147,128,122,123,125,122,117,120,182,251,248,246,246,246,246,245,244,243,242,242,241,240,239,232,221,188,155,145,123,120,126,124,119,117,162,226,255,246,247,248,247,247,247,246,246,245,245,244,242,242,234,226,208,171,136,117,115,122,125,115,157,215,254,254,247,249,249,248,248,248,247,247,247,246,246,245,243,244,212
4,210,213,214,214,215,215,217,217,217,217,219,219,218,220,220,219,219,218,219,219,219,218,219,218,218,219,218,217,213,215,215,216,216,218,218,218,220,219,219,219,221,221,221,221,222,225,221,221,221,221,221,221,220,221,221,220,215,216,216,217,219,220,221,220,221,221,220,219,219,222,226,213,190,200,225,222,224,221,222,223,222,222,222,222,217,217,217,219,221,221,222,222,221,220,223,206,189,201,251,223,188,141,215,229,224,228,223,225,224,222,223,224,219,219,220,222,222,223,222,224,224,228,253,221,212,176,243,235,201,158,166,202,188,201,231,225,227,224,226,226,221,222,221,224,225,224,223,222,213,217,251,250,212,179,206,247,197,168,116,192,187,144,206,233,227,228,228,228,222,223,223,226,228,225,225,234,227,216,183,238,230,188,179,249,205,166,110,197,198,151,140,237,229,231,230,231,222,224,226,227,229,225,232,249,241,228,154,157,237,181,153,247,215,163,104,197,202,157,119,226,233,232,232,232,225,227,227,228,228,226,237,228,221,212,145,131,203,178,148,204,189,140,106,204,198,151,115,225,237,233,233,234,226,228,230,230,230,228,237,229,201,212,141,113,202,188,163,165,147,107,101,201,179,125,128,235,236,234,235,234,227,229,230,232,232,229,234,237,190,202,160,119,184,201,196,180,180,151,112,162,151,115,132,243,234,237,236,235,228,229,231,231,234,233,234,251,228,189,172,124,136,215,224,226,213,195,146,115,131,112,148,248,235,239,237,238,230,231,233,234,236,235,235,251,231,196,151,110,104,179,218,225,224,193,148,107,113,106,169,252,236,238,237,239,230,232,234,236,237,233,238,249,210,170,151,131,110,99,157,209,213,185,152,122,111,104,184,253,238,239,239,239,232,234,236,236,235,233,241,242,205,172,148,130,114,112,117,145,193,192,172,135,116,98,188,251,238,241,240,240,234,234,236,237,236,235,243,250,221,186,160,143,131,123,145,128,191,220,190,152,126,97,198,251,240,242,242,240,234,235,236,237,238,236,245,248,220,173,148,142,131,119,152,194,233,237,217,176,140,101,188,255,241,242,242,242,234,236,236,237,238,237,247,247,212,178,155,141,149,135,177,236,251,241,234,190,152,118,145,255,241,244,244,244,236,237,238,238,240,240,248,243,215,180,163,152,174,147,207,253,255,237,214,180,153,125,147,255,243,245,245,245,236,236,238,239,241,241,248,241,217,184,172,175,173,164,230,255,249,233,208,167,149,116,174,255,246,247,245,246,237,238,240,240,241,240,243,239,215,191,182,180,169,170,238,253,235,210,195,153,135,110,206,255,246,247,245,245,238,239,240,240,241,242,241,236,210,188,170,192,167,171,238,250,220,191,177,143,125,119,236,251,247,247,244,245,237,239,242,241,243,243,239,232,214,188,192,211,162,172,244,239,207,178,159,134,120,145,255,247,249,249,248,248,238,241,241,241,244,245,242,227,215,199,191,210,170,173,245,214,192,166,144,129,112,188,255,248,250,250,249,250,238,239,240,241,243,244,243,232,220,202,187,204,174,178,232,198,179,149,134,127,115,227,255,250,251,250,249,250,237,237,238,239,241,241,235,246,231,204,187,184,166,161,221,190,160,143,130,122,133,248,250,250,250,250,250,250,238,238,238,239,242,233,237,254,230,200,184,165,146,154,196,168,142,135,130,111,182,255,249,250,250,250,250,250,238,239,240,242,243,229,249,245,228,214,189,154,150,167,190,139,141,129,123,136,240,251,250,250,249,249,250,249
0,207,209,211,213,214,217,220,220,221,223,223,223,224,225,228,226,229,229,228,229,229,229,229,229,230,228,229,229,209,211,214,216,217,218,221,222,222,224,225,226,226,229,230,229,229,230,230,230,231,230,231,231,230,230,231,230,208,211,215,218,220,220,223,224,225,228,228,228,230,231,230,229,232,233,231,230,231,233,232,233,233,232,231,232,209,212,216,218,220,221,224,225,227,230,229,231,231,230,230,234,234,232,232,232,235,235,232,235,235,235,234,236,212,215,218,220,221,222,225,228,229,228,233,234,233,241,246,228,228,242,255,227,231,255,207,230,239,238,238,236,215,217,220,221,223,227,227,228,227,243,255,227,204,255,255,209,184,255,255,219,195,255,207,200,245,235,237,237,215,218,222,224,226,227,229,234,229,255,255,238,172,225,254,226,170,198,255,229,172,226,234,179,233,239,237,241,218,220,222,225,228,226,255,252,212,255,255,251,190,209,255,237,181,197,255,232,160,177,246,197,182,224,244,239,219,221,223,227,221,248,255,255,208,245,255,248,208,208,255,242,180,210,255,217,165,121,227,224,199,167,220,246,217,222,225,227,222,255,255,255,227,223,255,246,209,198,255,248,165,211,255,192,149,79,188,243,222,159,195,255,220,223,227,225,235,255,255,255,241,206,255,247,202,196,255,241,156,167,214,176,117,96,230,253,229,164,214,253,221,224,227,221,251,255,254,255,243,192,250,244,194,182,251,222,157,127,181,168,86,154,255,251,220,164,242,250,224,227,229,223,255,255,249,251,202,152,213,220,183,152,194,189,149,117,186,161,128,238,255,239,181,177,255,248,224,228,228,242,255,255,216,227,173,128,185,197,176,123,156,174,113,150,231,233,240,240,235,211,162,202,255,249,225,229,221,255,255,255,224,206,190,144,167,207,185,105,132,173,194,255,255,255,239,213,197,183,156,217,255,250,230,233,225,248,255,255,251,212,192,162,170,228,181,102,157,255,255,255,255,248,226,198,175,167,144,237,255,252,231,233,230,249,255,255,255,240,213,194,201,217,198,220,255,255,255,255,252,234,207,180,168,147,190,255,251,254,230,235,230,255,255,255,255,254,241,212,219,238,255,255,255,255,255,253,231,211,187,172,152,174,255,254,255,254,230,235,230,254,255,255,255,255,255,237,233,253,255,255,255,255,255,243,217,188,169,157,149,243,255,255,255,255,231,236,232,253,255,255,255,255,255,249,241,248,255,255,255,255,252,227,196,171,159,139,215,255,254,255,255,255,230,236,237,248,255,255,255,255,254,239,238,240,255,255,255,240,229,209,176,165,134,191,255,255,255,255,255,255,232,237,238,239,255,255,255,255,246,230,232,237,246,249,233,216,198,181,162,133,173,255,255,255,255,255,255,255,236,242,244,238,255,255,255,255,244,228,238,246,249,242,221,200,173,152,119,145,255,255,255,255,255,255,255,255,216,206,205,189,193,199,183,172,166,160,174,178,172,167,153,148,139,120,131,255,255,255,255,255,255,255,255,255,168,155,157,150,135,133,130,117,109,94,88,79,71,74,69,69,74,79,111,196,255,255,255,255,255,255,255,255,157,161,157,152,145,140,132,119,110,99,94,80,75,73,69,66,64,67,68,49,184,255,255,255,255,255,255,255,168,158,160,155,147,134,129,119,105,98,89,79,72,70,67,62,64,64,70,50,212,255,255,255,255,255,255,255,183,161,162,154,147,135,128,116,101,97,88,79,73,69,66,62,61,65,54,108,255,255,255,255,255,255,255,255
20,188,189,190,191,191,191,192,191,193,193,192,191,191,191,191,188,189,187,185,184,182,180,178,177,176,174,172,171,192,192,192,195,194,195,195,195,196,196,196,195,194,193,190,191,191,189,189,187,184,183,180,179,178,175,174,173,196,197,198,198,198,199,199,198,199,199,199,199,197,205,199,146,196,198,190,191,189,187,185,184,182,179,177,176,200,201,203,202,202,202,204,204,203,203,203,203,200,208,211,130,152,181,198,192,192,190,189,187,186,183,181,179,204,206,206,207,207,207,208,207,206,208,207,208,206,211,212,126,107,130,185,201,195,193,192,191,188,186,184,181,208,209,210,210,211,211,212,211,210,211,212,212,209,218,208,107,143,152,150,211,199,198,196,195,192,191,188,186,212,212,213,215,215,216,215,215,215,215,216,216,212,224,209,109,168,174,126,212,204,203,200,199,196,194,192,191,217,217,217,218,219,219,219,219,220,219,220,220,214,234,214,119,171,187,123,208,208,206,205,203,200,197,195,193,221,221,221,221,222,222,223,222,223,224,224,222,218,243,196,110,181,207,127,200,215,209,208,207,205,200,199,198,224,223,223,224,224,226,225,225,225,227,227,225,225,254,181,115,204,205,123,196,221,212,211,210,209,205,202,200,227,227,227,229,229,229,229,229,228,230,230,211,195,227,193,130,212,205,117,190,225,214,214,213,210,209,206,205,230,231,231,231,232,232,232,232,232,231,233,242,225,192,170,128,182,212,135,187,227,217,217,216,213,211,209,207,232,233,233,234,236,236,236,234,234,234,234,218,238,214,185,154,162,208,141,180,231,219,220,218,217,213,212,210,234,236,237,237,238,237,238,237,237,237,241,205,160,199,222,155,111,154,127,170,235,222,223,221,219,216,214,212,237,238,239,238,239,238,239,240,239,239,243,226,99,163,220,165,108,100,100,158,239,223,224,223,221,218,215,213,239,240,240,239,240,240,240,241,240,240,244,218,119,135,206,198,142,127,91,138,241,227,227,225,224,222,218,215,240,241,241,241,241,241,242,242,243,239,234,211,171,125,116,182,176,154,99,114,241,229,229,227,225,223,221,217,242,242,243,243,243,244,244,245,243,239,232,219,200,158,108,141,172,156,109,97,234,234,232,230,226,224,222,219,244,245,245,245,245,246,246,246,239,229,181,174,210,184,133,119,155,191,148,91,210,244,232,232,230,228,224,221,246,246,247,247,246,247,249,248,236,231,197,118,139,189,118,97,127,193,183,106,143,249,233,233,231,229,226,224,248,248,248,249,249,250,250,249,238,223,189,141,95,146,117,93,150,216,208,138,95,231,241,235,232,231,230,226,249,250,250,251,251,251,251,252,238,227,218,170,107,133,139,118,216,235,200,133,99,233,241,237,235,232,231,228,251,252,253,253,253,253,253,255,237,230,233,169,132,138,192,218,247,210,183,102,123,249,238,239,237,233,230,228,253,253,254,255,255,254,253,255,239,227,226,187,145,135,229,255,232,187,165,89,163,255,237,239,238,234,231,231,254,254,254,255,255,255,255,255,242,214,210,190,149,134,219,233,209,170,142,90,203,252,239,239,239,236,232,230,252,253,254,253,254,255,255,255,247,212,208,189,159,143,212,228,196,156,117,95,237,246,241,240,238,236,236,242,253,254,255,255,255,255,255,255,255,222,205,192,175,144,201,221,179,136,85,147,255,241,241,239,238,242,228,174,255,255,255,255,255,255,255,255,255,232,212,194,172,140,169,187,144,107,76,218,253,243,242,240,230,183,120,69
11,175,178,180,182,182,183,185,186,186,187,187,187,187,190,189,190,189,188,188,188,187,186,186,186,185,183,182,181,176,180,182,182,184,186,187,187,188,189,188,191,193,184,192,192,191,190,190,190,189,188,188,188,188,186,184,183,180,182,183,186,186,187,188,190,191,192,189,199,208,144,191,195,192,191,192,192,192,191,190,190,190,189,186,186,182,183,185,187,188,189,190,193,193,194,189,213,206,125,187,195,193,193,194,194,194,194,194,192,191,190,188,187,182,185,187,189,189,190,192,194,194,195,192,236,189,125,194,195,195,195,194,195,195,195,195,194,192,191,191,189,185,187,189,190,190,192,194,195,197,192,208,245,155,137,202,194,196,197,197,196,196,196,196,195,194,193,193,191,187,189,190,191,193,194,194,196,198,191,232,237,135,167,204,197,198,199,200,198,197,197,197,197,196,194,194,193,189,191,192,194,195,195,195,198,194,206,247,208,126,187,203,201,201,201,201,199,198,200,200,198,196,196,195,194,189,192,193,195,196,197,199,200,199,237,242,167,129,205,202,202,202,202,202,202,201,201,201,199,199,197,196,196,190,192,194,196,198,200,201,196,217,247,228,127,155,211,202,203,203,204,204,203,202,203,202,201,201,200,198,197,194,195,197,198,199,201,202,198,231,247,210,109,189,210,203,204,203,204,205,204,205,203,203,202,201,201,201,199,195,196,198,200,201,203,203,207,244,247,192,164,221,183,202,207,204,205,206,207,208,206,203,204,202,202,201,200,195,197,199,201,203,203,197,224,247,244,241,237,206,134,182,212,205,207,208,208,208,207,206,205,204,203,203,202,196,198,201,201,199,204,215,242,246,246,246,195,138,123,167,214,206,208,209,209,208,208,207,206,207,205,203,202,197,199,202,204,225,239,246,245,246,233,216,178,122,119,150,214,207,209,210,210,210,209,208,207,208,208,204,203,198,201,198,225,247,246,245,245,247,205,134,145,124,126,134,210,211,211,211,211,211,210,209,209,208,208,206,204,199,201,205,242,243,240,246,247,236,185,128,124,126,127,130,204,214,211,213,211,211,211,211,211,209,209,208,207,202,199,219,247,243,246,244,224,191,194,149,122,121,127,131,204,214,213,215,213,211,212,211,212,210,210,210,209,204,200,235,247,245,231,198,158,134,203,172,129,115,116,143,213,214,212,214,214,213,213,213,212,212,210,210,209,202,209,246,247,233,183,139,101,83,205,186,126,125,173,205,218,221,221,221,217,216,219,216,213,213,210,211,210,200,225,247,240,214,170,135,91,145,206,136,100,135,212,219,211,199,175,155,145,145,160,205,219,213,213,213,213,203,239,247,235,195,149,116,88,133,143,82,89,84,99,128,131,131,129,125,132,129,117,125,197,219,214,214,214,217,247,245,219,165,123,100,91,89,92,90,94,99,94,103,126,141,152,146,144,136,124,102,135,223,210,213,213,239,247,239,196,152,121,94,89,89,93,100,106,112,116,134,146,147,146,148,155,175,181,157,174,220,212,212,212,246,247,228,180,144,114,87,89,98,113,123,124,127,132,145,140,161,192,213,220,223,224,225,221,215,215,225,175,246,245,211,168,137,108,88,107,123,134,141,141,137,126,141,185,224,225,223,220,219,219,217,218,224,214,170,116,247,234,194,157,129,108,97,127,141,141,140,146,127,164,214,225,221,220,222,221,220,221,220,225,196,134,105,98,243,218,175,146,127,109,103,130,137,138,140,128,162,230,222,221,222,222,222,223,223,222,225,194,123,111,104,94
6,231,232,232,231,231,231,232,232,232,230,230,229,228,228,227,228,226,226,225,223,221,220,221,219,217,218,215,213,233,234,234,234,234,234,233,234,234,231,231,231,230,230,230,228,227,228,226,225,223,222,222,221,220,218,217,215,236,236,237,236,236,236,235,236,235,234,233,234,233,231,231,229,229,229,227,226,225,223,223,222,220,219,218,216,237,238,239,238,238,237,237,237,236,237,236,235,234,232,232,231,231,229,228,227,227,225,224,222,220,219,219,216,239,240,240,239,240,240,239,239,238,237,237,237,237,235,234,234,233,231,230,229,227,226,226,223,222,221,220,219,239,242,243,242,243,243,242,241,240,239,238,238,238,235,235,236,234,233,231,230,230,228,227,225,224,222,220,220,241,243,245,246,246,245,244,244,243,240,239,238,239,237,238,237,236,235,233,233,233,230,230,230,227,224,221,221,243,246,246,246,246,246,245,245,245,248,247,246,241,242,242,243,241,238,235,232,229,224,214,210,222,223,225,221,245,248,247,247,247,246,248,246,239,227,221,227,227,214,203,198,189,202,204,202,192,194,168,185,239,206,208,225,247,248,250,251,249,250,239,220,209,188,172,165,167,198,186,172,159,171,198,201,187,186,177,177,214,166,204,230,248,251,255,252,239,224,194,189,199,196,195,168,105,148,178,175,136,159,161,157,146,124,127,137,158,193,228,226,253,249,236,219,205,196,189,183,189,199,190,133,90,73,93,97,99,119,131,150,155,179,196,210,226,234,229,227,233,219,206,198,190,185,182,172,178,187,174,127,83,72,79,116,158,202,233,238,243,247,244,241,237,232,230,229,222,216,206,194,187,187,185,179,179,183,186,164,101,59,155,254,250,253,246,244,241,240,240,237,237,234,232,230,234,217,205,195,190,188,187,180,180,183,187,161,102,70,96,251,248,246,245,244,243,243,243,239,237,236,234,233,219,208,205,197,189,188,186,188,182,184,182,167,105,80,60,198,255,247,248,247,245,244,242,240,238,237,236,233,208,205,202,193,192,189,189,190,192,195,193,178,118,79,63,135,255,247,249,247,246,245,243,242,240,237,236,234,220,194,191,195,202,197,190,182,175,178,180,157,112,80,71,77,250,254,249,248,247,246,245,243,241,238,237,236,212,186,188,200,205,205,187,181,172,169,160,134,110,89,65,119,255,252,251,250,250,247,247,245,243,240,238,238,182,172,191,198,195,191,182,170,160,169,156,117,110,100,64,225,255,251,251,251,251,251,248,245,244,243,239,238,132,152,171,188,180,169,157,145,135,134,117,105,104,109,69,231,255,252,252,251,250,249,247,246,243,241,240,237,60,92,124,160,156,140,129,120,111,85,66,86,114,114,58,211,255,251,253,251,249,248,247,245,242,240,239,236,55,31,37,73,102,106,88,82,83,73,71,102,109,93,83,237,255,253,254,251,251,249,247,246,244,241,239,237,60,43,14,21,21,47,115,151,124,87,85,113,129,195,238,255,254,255,253,253,251,250,247,247,246,243,239,238,54,52,17,25,7,158,255,255,255,217,193,209,250,255,255,255,255,255,253,253,251,251,249,247,246,243,240,237,51,54,21,8,48,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,251,249,248,247,248,252,255,252,58,48,18,7,181,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,248,239,201,165,168,59,31,7,92,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,225,183,165,144,118,92,58,37,36
14,180,182,182,182,181,183,183,182,183,182,181,182,182,182,182,180,180,178,177,176,175,175,174,173,172,171,169,167,183,184,184,185,185,184,185,186,184,184,185,185,185,185,184,182,183,180,180,179,177,178,177,175,175,173,171,170,185,186,187,187,187,186,187,187,186,186,186,187,187,185,188,188,186,184,184,184,182,180,178,179,178,177,174,173,187,189,188,189,190,190,190,190,190,189,189,190,189,188,179,170,180,183,180,177,177,183,186,178,180,179,178,177,191,192,191,191,192,192,192,192,191,191,192,193,191,184,169,150,157,161,155,161,155,126,159,193,181,180,179,178,192,193,193,193,194,194,194,194,194,192,191,173,168,180,185,181,176,161,121,131,151,123,95,144,189,185,181,179,194,195,195,195,196,197,194,195,196,194,193,192,187,193,192,184,176,165,147,117,128,140,113,107,144,174,184,181,197,196,197,197,197,197,196,196,196,194,195,182,165,156,146,131,109,112,146,150,150,157,112,119,139,113,181,187,198,198,199,199,198,199,199,198,198,199,193,163,159,163,136,108,92,92,89,116,133,117,88,75,103,76,102,186,199,200,199,199,200,200,200,201,198,182,183,194,191,175,155,137,137,163,112,156,174,148,171,129,78,72,67,114,202,202,202,201,202,201,202,203,196,185,189,183,171,143,124,118,116,107,117,197,202,202,197,209,162,67,84,89,203,204,203,203,203,202,204,205,192,186,179,150,119,73,57,60,58,91,192,200,196,196,197,194,109,94,109,104,204,204,204,204,204,204,203,202,192,183,137,91,61,53,58,62,47,147,214,197,201,197,208,143,93,125,118,93,204,206,206,205,207,206,207,201,195,177,122,73,63,65,68,74,60,164,209,200,201,203,186,103,116,122,110,82,207,207,207,207,208,207,208,202,193,172,124,69,67,68,66,68,60,189,207,202,200,211,135,93,115,116,87,126,209,208,208,209,209,209,211,201,194,159,96,67,81,66,63,65,50,166,223,200,209,185,101,98,104,104,80,182,210,209,210,209,210,211,208,197,194,156,108,92,78,65,66,62,49,66,158,210,207,112,105,112,102,73,140,207,211,211,211,211,210,212,206,196,197,169,121,95,73,66,71,70,72,72,65,124,124,86,110,111,88,109,207,197,211,213,213,212,211,213,206,193,196,163,121,100,73,68,77,84,87,92,97,94,82,98,108,98,87,190,206,199,212,214,212,212,212,213,206,188,191,164,138,102,69,70,79,92,93,98,103,114,110,93,114,83,150,214,201,201,212,213,213,213,212,216,207,183,188,172,139,101,78,68,81,97,98,98,104,117,117,103,90,91,202,207,205,203,212,213,214,215,214,217,207,186,195,173,146,117,88,68,82,99,101,103,110,122,121,109,74,148,217,205,205,204,215,214,215,217,216,217,206,188,197,172,143,113,94,70,79,102,102,107,116,123,118,91,105,216,208,208,207,205,216,217,217,217,216,219,205,191,193,164,137,117,99,79,73,104,102,107,119,119,112,72,155,221,207,209,207,206,216,216,217,217,215,220,203,189,190,159,133,121,102,85,70,95,101,106,114,112,95,82,204,212,209,209,208,207,215,215,216,217,215,220,200,183,186,155,133,122,100,86,71,87,102,101,103,104,65,150,223,210,211,209,209,207,216,216,217,217,216,220,201,178,177,154,132,112,95,85,74,81,97,97,97,74,107,215,210,210,210,209,207,206,217,217,218,217,216,221,199,176,171,152,127,109,97,86,77,81,90,92,79,94,207,216,210,210,210,210,208,206
1,201,203,203,203,204,204,204,204,205,204,204,204,204,203,203,205,195,180,198,197,198,196,194,193,192,191,189,187,205,205,206,207,207,207,208,208,208,207,207,208,207,208,198,196,204,139,194,208,199,199,197,196,195,193,192,190,209,210,210,210,211,211,211,212,211,211,210,211,209,216,202,150,203,136,146,175,204,201,200,198,199,197,194,193,213,213,213,213,214,215,214,214,213,214,214,214,212,222,194,144,202,126,110,129,188,209,203,200,200,199,197,195,215,216,216,216,218,217,217,217,217,218,218,219,218,226,172,148,200,111,140,145,167,216,204,204,203,202,199,198,219,219,220,219,219,219,220,220,218,218,221,200,203,228,153,162,204,117,161,149,153,218,206,207,206,204,202,200,222,222,223,223,223,224,224,223,221,221,224,189,157,230,152,180,193,114,169,152,152,221,210,211,208,206,205,202,225,225,225,227,226,226,226,226,226,224,228,177,154,218,143,194,169,115,189,162,152,224,213,213,211,209,207,205,227,228,228,229,227,227,227,226,227,226,229,154,169,195,141,206,166,140,210,153,152,226,215,215,213,211,209,208,230,230,230,231,230,230,229,230,230,230,229,147,176,198,151,211,171,146,210,144,155,229,216,217,215,213,212,211,231,231,232,232,232,233,232,232,231,233,220,134,181,207,142,208,168,131,206,157,166,231,218,218,217,216,214,212,234,233,233,234,234,234,233,234,232,237,211,127,190,193,121,195,142,131,215,154,168,234,220,220,220,219,216,213,235,236,236,236,236,237,236,236,235,238,216,131,183,179,131,200,140,145,210,146,167,236,223,224,222,221,219,216,237,238,238,238,238,238,238,237,236,240,198,136,192,184,185,203,178,148,170,148,171,236,225,227,224,222,220,219,238,239,238,238,238,238,238,238,239,234,198,196,183,161,174,176,182,166,150,141,144,233,227,227,226,223,221,220,239,240,240,240,239,240,240,240,239,234,216,185,155,147,159,178,182,161,150,156,126,214,234,227,227,226,223,221,240,241,241,241,241,241,242,242,242,236,201,158,144,146,162,194,186,172,201,192,131,186,242,229,229,227,226,224,243,242,243,243,243,243,243,244,239,232,195,149,148,158,171,200,208,207,187,204,159,159,242,230,231,228,226,225,243,244,245,244,244,245,244,246,235,228,204,153,136,161,186,208,219,229,177,202,181,134,231,234,231,230,228,226,244,245,245,245,245,245,245,248,231,227,214,166,130,162,192,210,216,220,202,185,150,117,229,236,232,232,230,227,246,246,245,246,246,247,246,250,229,225,218,179,144,147,193,222,222,217,189,176,122,138,245,234,233,233,232,230,245,246,246,246,247,248,247,251,230,213,211,180,152,145,203,234,229,216,180,152,109,195,247,235,235,234,233,232,245,246,246,247,248,248,247,251,237,207,201,183,160,155,212,227,212,195,164,129,121,240,239,237,237,234,233,232,245,246,246,246,247,247,247,250,244,213,204,188,169,164,212,218,202,176,149,106,166,252,237,238,237,234,233,232,245,246,247,247,247,248,248,248,250,217,203,199,177,164,201,203,188,157,124,103,226,243,238,238,236,233,232,230,246,247,247,247,247,249,248,249,252,224,207,199,178,163,183,176,154,128,88,176,250,238,240,238,236,233,230,230,246,246,247,248,248,248,248,250,246,223,212,199,180,167,169,159,128,94,168,252,241,241,240,239,237,236,239,230,246,246,246,248,248,249,249,252,233,217,220,203,197,179,158,144,100,129,255,244,244,242,240,239,238,224,194,143
5,192,192,195,196,199,200,200,200,201,200,199,200,200,197,198,197,197,195,194,193,191,190,189,187,186,185,184,182,194,196,198,199,201,202,201,203,202,202,201,200,204,201,200,199,199,199,196,195,193,192,192,189,188,187,185,184,195,199,201,202,203,205,203,203,206,204,204,214,166,193,205,201,201,202,200,197,195,194,193,193,191,189,187,186,199,200,202,204,205,206,206,211,209,206,210,227,129,163,213,202,203,202,200,198,198,196,195,195,192,192,191,188,202,202,203,206,205,215,208,170,216,205,220,221,112,165,214,204,205,203,202,201,200,199,199,196,195,194,191,189,203,204,205,210,205,233,189,121,214,207,224,190,102,194,214,208,208,206,203,205,204,201,200,199,198,197,194,191,204,206,210,208,212,241,142,128,221,212,212,164,113,214,212,212,209,204,218,176,186,208,202,202,201,198,196,194,206,208,212,209,229,212,96,187,226,204,187,141,128,219,215,210,206,222,211,121,159,216,205,205,201,200,198,198,208,209,214,208,248,205,100,215,223,189,170,108,161,228,196,195,203,182,120,128,203,211,209,207,204,202,199,199,211,212,214,214,255,190,104,217,216,180,155,96,201,172,178,206,146,97,150,208,213,210,210,208,206,203,202,200,212,215,216,222,255,150,104,234,189,185,162,111,137,130,161,142,100,170,227,213,212,211,210,209,207,204,203,201,213,217,219,220,251,220,109,187,173,172,139,98,101,119,90,116,187,223,216,216,213,212,211,211,210,207,204,202,217,220,224,220,244,244,147,110,133,138,106,88,119,103,115,220,225,217,217,218,215,213,213,212,211,210,207,204,220,221,225,224,236,243,202,142,122,126,97,85,119,106,199,234,221,220,219,218,217,215,215,213,213,211,208,205,222,224,226,227,229,255,245,184,122,106,107,103,99,185,226,201,207,225,226,223,221,219,217,215,214,212,209,208,224,226,229,230,231,255,243,174,115,97,94,108,109,158,158,170,178,184,197,206,214,224,219,216,216,213,211,210,227,227,231,232,239,255,231,165,101,89,87,108,115,125,169,176,212,203,201,206,207,160,207,223,217,215,213,211,229,230,233,229,252,255,241,177,110,82,83,107,119,114,137,106,152,182,177,196,193,137,188,230,217,217,215,213,229,232,235,232,255,255,237,167,116,86,81,96,96,88,115,121,191,194,172,194,228,168,158,231,218,218,215,214,231,235,232,248,255,248,232,163,116,81,72,86,75,174,240,232,243,237,226,235,187,120,217,227,223,221,217,214,234,236,233,255,255,250,229,164,107,79,77,97,107,121,207,251,228,190,194,210,104,165,242,224,226,222,220,218,234,234,242,255,251,247,219,140,98,75,92,102,115,122,128,178,187,203,194,153,67,208,236,228,227,223,221,220,237,230,255,255,244,245,198,125,98,84,118,137,149,144,123,137,181,193,170,92,109,233,234,231,229,226,223,222,237,119,159,255,255,227,178,125,98,103,133,149,152,135,129,130,168,143,100,147,232,237,235,234,229,227,225,222,141,79,73,114,213,215,170,135,100,111,143,139,131,110,125,110,89,113,199,248,239,236,237,235,229,227,226,223,91,84,81,71,79,128,149,110,82,95,125,121,110,99,89,74,138,237,250,240,239,238,236,235,232,229,228,227,95,78,72,77,71,65,52,45,51,61,78,92,83,70,146,221,255,247,242,243,244,241,238,236,233,230,228,228,81,72,70,69,63,71,39,23,36,35,39,44,62,172,255,254,247,246,246,245,244,242,240,236,235,232,228,228
12,196,198,201,200,200,201,202,201,201,203,203,202,203,205,203,203,203,203,202,203,203,204,202,202,202,201,201,201,200,201,201,202,203,203,204,204,204,205,205,206,206,203,206,208,205,203,204,204,205,206,204,204,204,203,202,201,201,202,203,204,205,206,206,208,206,207,206,194,203,221,196,183,204,209,207,207,207,209,207,205,205,205,204,203,202,204,206,206,207,208,206,208,205,237,221,185,164,243,215,169,157,215,207,209,213,208,209,208,208,207,207,206,204,207,209,209,208,209,210,209,213,255,242,209,145,218,247,196,125,193,204,174,191,216,210,211,211,210,209,208,207,208,210,211,211,212,212,210,219,255,255,219,156,178,255,212,158,119,197,170,125,198,216,212,214,211,210,210,209,209,211,211,212,214,215,212,223,254,255,226,173,146,251,220,183,111,163,183,106,147,226,213,217,215,214,212,209,211,212,212,213,215,217,213,227,240,249,241,189,128,216,229,184,129,104,164,115,137,229,216,217,215,215,214,211,212,215,216,217,218,216,217,218,198,228,242,217,174,152,217,171,113,68,118,111,147,230,217,219,217,218,216,213,215,217,217,219,211,221,247,189,158,183,207,218,172,106,129,131,76,102,147,96,163,231,218,221,219,219,219,213,214,218,221,215,232,255,234,158,132,140,130,172,134,99,115,155,130,181,162,96,192,227,220,222,221,220,219,216,217,218,216,231,255,243,204,158,135,97,90,112,157,147,164,206,234,207,142,95,215,231,222,224,223,222,222,215,218,220,219,254,234,208,215,181,152,100,94,100,99,112,136,190,243,249,225,159,135,215,228,224,224,223,223,218,217,218,224,253,224,194,221,193,153,112,87,110,112,110,102,195,231,250,228,187,139,129,231,225,224,224,223,218,217,216,243,250,220,179,205,209,198,154,95,114,134,122,194,239,227,219,199,190,181,118,205,232,226,226,225,218,221,219,238,255,237,197,148,204,231,172,110,109,137,192,246,239,228,212,166,172,164,119,217,231,227,227,227,219,220,221,232,255,250,220,167,152,188,220,190,112,212,255,238,230,216,200,163,142,122,137,238,228,227,228,228,220,221,222,232,255,255,229,188,182,160,172,168,191,255,254,240,223,207,185,156,124,95,180,239,230,230,229,228,220,221,222,229,255,255,242,202,198,190,147,181,255,255,255,236,207,192,164,150,110,104,223,232,230,232,231,230,220,220,220,224,246,252,252,223,206,193,186,180,250,254,251,225,188,171,151,145,98,144,242,228,231,232,231,231,219,219,221,218,234,255,255,241,218,197,199,175,233,252,234,212,171,149,154,133,89,189,239,229,231,231,231,230,219,220,223,220,216,255,255,243,222,201,195,185,214,245,213,189,156,141,158,115,103,228,233,231,230,230,230,229,220,222,223,227,214,245,245,221,210,200,194,192,198,217,197,165,149,150,145,95,157,243,230,232,231,231,231,231,220,222,224,230,218,238,234,205,197,194,196,187,189,198,185,170,145,142,120,107,223,236,232,232,231,231,231,231,220,224,224,227,221,234,231,208,207,207,199,186,183,198,195,163,127,125,95,180,242,232,234,233,233,233,233,232,222,222,225,225,221,230,238,219,218,213,204,196,178,205,186,138,116,101,128,238,231,235,233,233,233,233,233,232,218,221,225,228,225,227,247,223,226,220,207,205,168,200,166,132,114,94,201,243,234,235,235,235,234,233,233,232,147,150,151,159,155,200,255,235,232,230,213,206,164,187,159,134,101,110,219,221,223,226,229,231,232,233,232,231
17,147,150,151,155,157,157,158,160,162,163,164,165,166,169,168,170,171,170,170,171,171,172,171,170,170,170,170,169,150,152,154,157,159,161,162,163,163,164,165,166,168,168,171,170,171,171,171,173,173,173,172,171,171,170,170,169,153,157,158,160,162,163,165,166,166,166,168,167,185,150,150,177,172,173,173,174,174,175,174,172,172,172,171,171,157,159,161,164,166,166,167,168,170,171,169,178,179,120,123,181,174,177,176,176,176,176,176,174,174,174,173,172,161,164,166,168,170,170,171,172,173,174,173,182,193,116,120,186,176,179,178,178,179,178,179,178,177,177,177,176,165,168,170,172,174,174,175,177,177,178,176,188,208,145,110,181,180,181,181,181,181,181,181,181,180,178,179,179,169,172,175,176,179,179,179,180,181,183,179,196,212,162,95,158,190,183,185,185,185,185,185,186,184,181,180,180,173,177,178,180,182,183,183,184,186,188,183,204,205,176,115,133,196,185,188,187,188,188,189,188,186,185,183,184,177,179,182,185,186,186,187,189,190,191,184,214,185,193,137,113,193,192,191,192,192,192,191,190,189,189,187,187,180,184,186,189,190,190,191,192,192,193,193,218,167,205,149,106,186,198,195,197,196,195,195,194,193,192,191,190,183,186,189,193,194,194,195,195,195,194,190,222,178,217,180,112,174,204,198,199,199,199,198,197,196,195,193,193,186,189,192,195,195,196,198,199,201,205,176,151,153,209,192,123,158,209,200,202,202,201,201,199,198,198,197,196,190,192,195,197,198,198,200,199,213,223,191,141,101,167,190,127,144,212,201,205,205,206,204,202,201,200,200,199,192,194,197,199,200,201,203,203,208,183,180,180,154,136,146,123,130,214,204,206,208,207,206,206,204,203,201,201,193,197,199,201,204,204,204,207,212,159,165,194,206,176,108,99,119,212,208,209,210,210,210,209,207,205,204,204,196,200,202,205,206,206,204,210,232,217,158,168,192,159,99,88,101,201,214,212,212,212,211,210,210,208,207,206,198,202,204,207,207,207,213,202,161,231,178,112,174,165,109,89,84,180,221,213,214,214,214,213,212,211,210,208,199,203,207,208,209,209,221,188,124,158,186,83,131,197,125,89,75,168,226,214,216,216,215,215,214,214,213,211,202,206,208,210,211,214,224,200,152,113,171,119,123,217,146,101,72,163,229,215,218,218,217,216,215,214,214,213,205,207,210,213,212,217,214,159,122,94,149,145,151,226,166,121,74,166,231,217,219,220,219,218,216,216,215,215,206,208,212,214,214,220,207,173,136,129,126,163,201,210,171,135,81,177,230,218,221,221,220,219,220,220,217,216,208,210,213,216,215,225,221,167,153,146,151,236,218,181,152,128,87,200,228,221,223,222,221,220,220,220,219,219,209,212,214,217,218,238,207,181,172,132,182,235,186,168,144,110,96,217,226,224,224,224,224,223,221,221,220,219,211,213,216,218,221,241,219,202,149,145,196,216,171,166,144,97,103,227,227,227,227,226,225,225,223,223,221,220,212,215,217,218,222,236,234,176,172,144,223,215,170,162,132,90,117,233,227,228,228,227,227,226,225,226,223,221,213,215,218,221,221,222,221,184,176,157,238,210,167,147,119,84,134,237,227,229,229,228,228,227,225,226,224,223,213,216,218,221,220,213,211,197,166,163,234,194,150,124,106,78,164,240,228,232,230,229,228,228,227,226,226,226,214,218,220,220,224,212,193,196,167,166,217,178,137,110,95,89,209,236,230,232,231,230,231,230,228,228,227,227
14,187,186,186,186,187,187,188,188,188,188,189,188,188,187,188,188,189,189,187,188,188,187,187,187,186,186,188,152,189,189,189,189,190,189,190,191,192,191,193,191,190,190,191,191,192,192,190,190,190,189,189,189,188,186,191,134,192,191,192,190,192,193,193,194,192,193,191,192,193,193,191,196,196,193,194,193,193,191,190,190,190,190,192,165,195,193,194,195,196,195,194,194,198,202,192,182,196,194,181,178,191,197,198,196,195,195,194,195,192,192,193,184,197,198,198,199,198,198,195,207,221,188,182,180,183,171,142,158,175,180,185,201,198,200,199,198,196,195,195,191,201,201,200,202,200,207,219,215,197,129,106,130,142,139,100,95,158,141,118,203,201,202,201,199,198,198,198,196,203,202,202,205,197,222,231,155,120,96,59,74,93,100,79,74,107,110,79,182,212,204,198,202,200,200,199,199,205,204,204,207,198,230,224,144,76,67,61,55,62,70,73,66,77,86,100,114,181,179,150,163,205,200,201,201,207,206,207,209,200,237,219,159,97,71,68,63,62,60,70,67,68,103,150,115,93,173,146,148,211,203,204,203,210,208,210,209,201,238,204,135,77,61,66,76,73,61,70,75,70,84,103,77,144,194,117,173,216,205,207,206,210,209,211,209,213,239,200,156,111,74,61,73,64,77,68,93,146,182,159,127,194,181,107,184,216,208,208,208,212,212,213,210,221,242,208,171,135,100,84,64,68,101,77,143,231,216,224,201,199,179,105,178,218,209,210,210,215,216,217,210,228,248,217,175,122,97,88,82,82,86,80,184,221,213,215,186,195,170,106,166,222,210,211,211,215,216,218,211,231,254,224,177,115,89,83,79,97,82,104,223,215,218,207,192,196,165,105,143,227,212,212,212,216,217,218,214,233,253,226,190,139,96,75,76,94,80,137,233,214,220,197,208,200,157,92,172,225,214,216,214,216,218,221,214,231,255,228,193,153,108,76,74,88,68,155,222,222,210,185,212,202,133,117,224,218,218,217,216,219,220,224,211,224,255,230,201,163,113,83,78,75,73,116,138,181,178,187,201,182,109,180,230,217,220,217,217,222,222,223,212,225,255,232,202,171,129,93,62,77,90,107,136,154,164,182,186,147,120,221,222,222,223,221,219,222,222,224,215,226,254,237,206,176,141,107,65,83,97,128,156,168,164,159,158,113,166,233,223,225,224,222,221,223,222,226,213,223,252,238,211,181,146,115,77,82,111,147,169,173,152,138,121,101,214,227,225,224,225,224,223,225,223,226,213,216,252,236,215,184,152,118,93,81,109,150,170,170,149,120,99,129,236,222,224,225,226,226,226,225,223,227,216,214,247,236,218,188,158,122,104,83,100,147,169,163,135,109,101,202,232,226,227,225,225,226,225,227,227,227,215,218,244,235,219,193,165,130,113,95,96,154,166,153,125,91,153,242,226,228,228,227,227,226,225,229,228,231,213,222,249,234,217,199,173,131,118,111,92,150,150,136,116,86,201,238,229,230,229,228,228,229,228,229,229,235,215,228,252,232,218,205,177,135,119,114,94,129,136,129,102,111,235,233,231,230,230,229,228,229,228,230,230,233,215,242,248,235,230,206,178,136,118,110,98,115,122,119,86,175,244,232,233,232,231,230,229,229,228,231,230,227,214,250,250,237,224,197,162,129,113,106,101,108,110,99,125,236,236,233,233,233,231,230,231,230,229,232,233,219,216,245,246,235,209,176,145,120,107,100,105,107,107,100,208,243,234,235,235,234,232,232,232,231,230
6,145,145,145,147,149,148,150,151,151,151,151,150,150,151,150,149,150,150,151,151,152,150,149,149,147,145,146,148,151,151,151,152,153,152,152,152,153,153,153,153,153,153,153,153,155,154,153,153,154,153,151,151,150,149,150,148,154,154,154,155,155,156,156,156,156,158,158,158,157,158,157,158,159,157,157,156,157,157,154,153,155,154,154,145,157,157,158,159,159,159,159,158,160,161,160,160,159,161,161,162,161,159,159,159,159,159,156,157,159,157,159,131,160,160,161,161,161,162,162,162,164,164,163,163,168,164,162,163,163,163,165,164,163,160,166,162,160,160,161,151,165,163,165,165,165,166,166,166,167,168,170,153,139,169,168,168,166,166,160,163,153,164,207,160,156,164,162,158,167,168,169,169,168,169,171,171,171,167,186,138,63,145,160,156,166,167,151,158,159,147,170,127,158,167,164,165,169,170,172,172,171,173,175,175,175,177,190,140,143,164,156,148,166,161,149,131,119,100,97,141,170,167,168,166,172,174,175,175,176,177,180,179,174,175,178,184,190,174,146,137,110,97,85,80,93,131,168,176,171,171,170,168,176,177,178,179,178,179,173,167,170,175,181,180,158,132,109,82,81,100,128,162,178,183,179,174,173,172,171,170,178,179,181,181,182,180,164,160,161,162,148,113,82,66,80,143,175,182,186,182,179,179,179,177,175,175,175,173,181,182,182,181,190,190,184,183,140,104,106,91,67,81,157,187,191,188,182,184,183,182,183,180,179,178,176,176,184,184,184,182,196,198,209,169,104,94,95,111,121,120,108,108,131,165,191,185,185,184,185,184,182,181,180,178,186,186,185,189,203,204,214,153,119,134,104,97,113,124,112,107,101,75,164,194,186,187,188,187,185,183,182,181,187,188,187,200,213,210,210,199,201,181,117,86,99,109,97,90,96,58,144,203,189,190,189,188,185,185,184,183,189,190,191,207,216,209,210,212,216,189,125,81,97,108,110,98,87,65,137,204,190,191,191,192,188,187,187,186,192,192,195,205,211,211,209,209,204,196,168,129,93,77,101,106,102,81,75,198,193,192,192,192,192,191,191,190,193,193,192,210,208,213,208,209,207,209,212,175,106,72,93,101,94,71,91,203,195,195,193,194,195,194,193,192,194,192,193,210,214,216,213,213,208,209,214,168,109,87,88,92,86,70,81,188,201,197,195,196,196,195,193,193,198,190,202,212,215,218,222,213,206,210,194,142,101,94,89,89,85,82,50,158,210,198,197,196,196,195,195,195,200,182,203,213,214,220,216,202,201,193,162,125,105,97,76,84,86,75,85,195,203,200,200,199,198,198,197,197,196,180,205,213,215,217,199,192,192,170,141,116,120,125,78,58,60,68,181,208,200,202,202,201,200,200,197,197,186,190,214,209,208,200,185,183,182,164,140,132,127,131,54,30,65,169,213,202,204,203,203,201,201,200,199,199,179,197,211,205,199,191,180,177,172,162,151,139,111,81,120,154,199,214,208,207,204,204,204,202,202,202,201,200,177,201,208,193,188,180,184,184,165,151,146,118,72,116,226,214,210,208,209,208,207,206,206,206,205,203,203,201,185,200,199,190,185,170,177,176,156,144,125,95,65,189,214,209,209,208,208,209,209,208,207,206,206,205,204,202,190,196,188,185,177,162,164,157,145,127,102,69,125,221,210,212,211,210,210,211,209,209,209,208,208,208,205,204,190,192,193,186,170,160,154,145,122,98,75,79,201,214,209,212,212,211,211,211,211,210,210,209,208,208,208,206
0,157,158,160,162,163,165,166,166,167,168,169,169,170,170,170,170,170,170,171,170,169,167,167,166,166,166,166,165,157,159,161,163,164,165,167,168,169,170,170,171,171,171,171,171,170,171,171,171,169,168,169,169,167,166,167,165,159,160,163,164,165,166,168,170,170,172,173,173,172,172,172,173,170,171,171,172,171,170,169,169,169,167,168,167,160,160,162,164,164,165,168,170,170,172,172,173,173,175,173,173,174,174,171,173,172,171,170,169,168,167,169,168,159,162,163,165,165,168,171,170,173,177,174,172,165,158,173,172,156,158,173,170,171,171,173,170,170,169,170,169,160,162,164,165,167,169,170,171,169,149,160,188,157,115,118,175,142,93,138,188,173,156,138,177,170,171,171,171,161,163,165,166,167,170,169,175,176,143,107,174,175,130,87,176,149,101,84,138,147,167,104,157,179,170,172,172,163,164,166,166,169,170,168,190,190,172,114,110,182,124,93,179,146,107,59,100,122,172,143,111,160,177,171,172,164,164,166,168,172,169,179,182,178,178,123,74,165,131,101,183,149,88,88,139,99,163,165,139,110,148,178,172,165,166,168,169,172,168,191,164,158,169,99,78,162,119,107,175,133,68,104,142,72,147,188,160,115,78,177,173,165,167,170,171,169,169,197,170,159,149,76,95,156,99,99,153,118,62,103,138,82,178,195,155,100,75,176,173,166,167,169,172,169,185,190,159,153,145,88,97,137,87,83,132,107,50,107,125,120,183,167,136,65,120,186,173,167,169,171,172,170,199,192,151,115,126,88,83,137,88,72,139,88,71,144,135,149,152,129,99,63,168,179,177,167,170,171,173,171,199,190,165,135,90,46,91,163,95,77,158,141,158,148,135,113,128,106,61,105,187,176,178,168,170,171,172,175,201,181,165,152,127,81,78,110,76,83,180,177,158,138,128,92,93,93,50,146,186,176,176,168,170,172,171,182,205,183,165,152,143,107,73,88,116,174,188,174,149,130,117,85,75,71,57,175,181,177,178,169,170,173,171,186,206,188,168,154,151,121,93,99,157,194,184,166,140,120,101,73,70,44,115,190,178,177,179,170,171,173,171,186,205,192,172,156,152,131,99,104,171,195,177,159,132,110,85,67,50,71,183,180,180,178,178,170,171,173,174,181,204,193,177,161,147,131,99,133,177,184,168,155,124,96,72,58,46,156,187,180,182,179,178,169,171,174,175,180,204,191,180,165,145,127,115,159,172,160,160,145,113,79,65,37,125,192,181,182,182,182,182,171,172,176,172,182,205,194,190,166,144,135,142,170,148,144,145,128,97,71,41,90,191,183,184,184,183,183,183,171,172,175,169,196,204,196,196,170,151,141,151,161,131,140,130,108,81,52,59,182,187,185,185,184,183,183,183,172,173,171,175,203,191,194,190,159,148,147,148,134,131,132,117,96,64,50,159,191,184,184,185,184,183,182,182,170,173,168,185,184,167,180,173,145,145,146,134,126,124,110,100,71,45,142,191,182,186,184,184,183,182,182,182,171,169,166,191,170,148,149,147,137,136,138,124,115,111,95,76,51,125,186,184,185,186,184,184,183,182,182,182,174,158,179,189,152,141,134,126,124,146,136,99,105,105,78,45,123,187,183,187,186,186,185,185,184,183,183,184,166,158,198,181,138,124,130,109,118,146,116,86,107,93,50,99,185,186,185,186,186,186,186,185,185,184,184,184,153,182,196,177,135,111,119,101,120,132,102,89,97,63,62,170,185,186,187,187,186,186,185,185,186,185,185,183
22,109,114,118,121,122,125,128,131,132,133,134,136,136,136,134,136,139,136,137,135,134,135,134,132,131,130,129,128,114,118,121,123,125,128,130,133,136,133,139,139,139,138,145,131,120,141,137,138,137,137,137,136,133,131,131,130,116,120,124,125,129,130,132,135,137,151,112,133,144,137,169,125,69,147,139,140,141,141,138,138,136,135,134,133,117,122,126,129,132,133,135,137,143,174,74,116,152,141,173,120,75,148,141,144,121,125,143,138,138,137,137,137,119,124,129,132,135,138,139,139,146,167,79,108,155,144,163,110,83,152,143,151,97,82,152,139,141,139,139,139,122,126,131,134,137,139,140,142,144,170,96,95,158,147,156,114,92,155,149,160,90,88,154,143,144,141,142,141,123,128,132,136,139,140,143,147,144,175,119,90,158,150,162,123,95,156,155,162,83,105,156,145,146,144,145,144,127,131,135,139,142,143,146,150,146,177,142,86,152,155,154,118,93,157,167,162,76,128,155,147,148,146,146,146,129,134,139,141,143,146,147,151,148,176,145,74,139,158,152,113,94,161,174,153,74,145,155,151,150,150,148,147,130,136,139,142,145,148,150,153,149,180,174,84,120,163,166,108,95,171,175,125,74,158,155,153,153,152,150,149,132,136,140,144,147,150,153,156,151,170,174,90,112,169,167,97,107,184,183,94,90,167,154,155,155,154,152,151,134,139,143,147,148,151,155,157,176,163,149,112,107,142,161,89,131,192,166,71,125,168,158,158,157,155,154,153,135,139,143,147,150,154,154,163,203,154,167,182,159,105,104,159,161,170,133,66,153,164,161,159,158,158,157,156,136,141,145,150,154,155,156,167,194,143,96,189,184,128,55,120,138,144,95,81,170,162,162,162,160,160,158,157,138,144,148,152,156,159,157,174,178,165,72,80,173,160,104,49,82,99,58,107,174,162,164,163,161,161,160,159,141,146,149,153,158,161,157,188,185,142,96,31,95,185,150,83,47,55,43,138,174,165,164,163,162,162,161,161,143,148,152,155,159,163,160,195,169,121,87,89,86,168,186,126,80,51,43,152,173,167,166,165,165,162,162,162,143,150,154,156,161,163,162,200,183,131,111,122,127,199,181,141,109,51,44,167,172,170,168,167,166,163,162,163,145,151,155,159,162,165,165,203,176,128,116,140,175,214,166,127,97,40,53,177,171,171,170,169,168,166,165,164,146,152,157,160,164,168,168,203,182,146,137,139,198,199,158,106,83,35,87,185,170,173,171,170,171,168,167,164,148,153,159,162,166,169,169,200,188,157,147,139,208,182,141,96,72,33,120,187,173,175,173,172,171,170,168,166,149,154,159,163,167,170,169,195,185,165,157,147,197,163,126,88,64,30,132,187,175,176,175,174,172,171,170,169,150,155,160,164,168,171,170,189,191,174,169,149,186,146,115,82,54,31,147,185,176,178,178,176,174,173,172,171,151,156,161,165,168,173,174,180,190,177,173,148,184,136,106,71,50,42,162,183,177,179,178,177,177,175,174,173,152,158,162,166,170,173,175,178,190,172,157,130,163,126,107,79,44,65,185,181,181,180,179,178,177,176,175,173,153,159,163,169,172,174,177,179,193,162,132,130,163,112,118,86,30,118,193,181,183,182,181,179,177,177,177,174,154,160,165,170,172,176,177,180,208,181,157,155,164,106,126,60,41,175,187,185,183,182,183,183,180,178,178,175,153,159,164,169,172,176,176,180,210,193,177,170,154,105,113,39,80,192,185,185,184,183,183,182,182,179,178,176
20,163,166,170,172,175,176,179,180,180,182,184,185,185,184,184,187,184,185,184,185,184,184,182,180,179,179,178,176,165,169,173,174,177,180,180,182,184,184,185,187,184,200,188,172,188,188,186,186,186,185,185,184,183,181,180,179,168,172,174,176,179,182,183,185,185,186,187,189,183,221,192,132,188,168,189,187,187,187,187,186,185,183,181,181,171,174,177,178,182,184,185,187,188,189,191,193,186,224,191,139,207,133,182,194,189,190,190,187,187,186,184,183,172,177,179,180,184,186,187,189,190,192,193,195,189,224,193,150,225,138,166,200,193,193,192,191,190,188,186,185,174,179,180,182,186,188,189,191,193,194,194,196,190,232,211,153,228,157,158,202,194,196,195,193,192,191,189,188,176,179,182,184,188,191,192,193,195,196,198,200,193,236,201,160,237,172,156,205,197,199,197,195,194,193,191,189,178,180,184,186,190,193,194,196,196,196,196,198,200,237,189,172,236,169,150,206,200,201,200,198,196,195,194,193,179,183,186,189,192,195,195,197,199,198,214,211,197,240,193,174,240,161,149,210,201,202,201,200,198,197,196,195,181,185,188,190,193,196,198,199,196,203,254,250,193,158,173,175,236,161,157,212,202,204,203,202,200,199,198,197,184,187,189,193,195,197,200,198,218,230,211,217,197,131,108,148,207,152,164,215,205,206,204,204,202,201,200,199,185,188,192,194,198,200,199,209,250,251,197,166,201,177,165,132,156,140,164,216,207,207,206,205,204,203,202,200,186,189,192,196,199,202,200,220,223,176,226,191,169,219,213,152,116,118,165,217,208,209,207,206,206,205,203,202,188,191,194,198,200,202,200,222,222,128,127,130,102,188,215,167,119,106,162,218,209,211,209,208,209,207,206,205,189,192,195,199,201,205,202,226,206,170,150,112,108,123,227,205,146,99,162,221,211,213,211,210,210,209,207,206,191,194,198,201,203,207,202,231,239,200,154,128,136,121,215,237,175,102,151,224,213,215,213,212,212,211,209,207,191,196,199,202,205,208,204,236,237,177,140,133,149,153,219,252,199,124,141,225,214,217,214,213,213,212,211,209,193,198,200,204,207,210,205,237,236,183,155,152,161,180,246,249,207,141,140,225,215,217,216,214,215,214,212,211,194,199,202,205,208,211,209,238,246,199,170,166,176,219,255,241,196,147,135,225,216,217,218,216,216,215,213,213,196,200,204,206,209,214,210,237,250,214,177,177,194,243,255,238,189,146,137,224,218,220,218,218,219,217,214,213,197,199,202,206,209,213,209,232,254,224,190,181,208,252,247,227,187,142,130,225,222,221,220,220,220,219,216,215,197,199,202,206,209,213,209,229,255,226,203,195,210,255,239,210,182,135,124,222,221,220,219,218,218,218,216,214,198,200,205,208,211,213,213,221,251,233,216,217,207,245,229,202,178,130,120,223,223,222,221,219,218,217,214,217,197,201,207,209,212,213,216,216,243,241,224,226,202,219,211,185,168,121,124,229,223,224,223,222,219,218,224,208,200,203,207,209,212,215,217,214,236,250,230,214,189,190,191,169,171,110,143,237,224,227,224,221,227,224,196,131,200,204,207,208,213,214,225,229,238,251,223,193,159,164,181,166,162,95,178,237,226,227,225,231,203,142,105,91,201,206,210,214,216,222,190,111,179,251,195,170,146,160,189,158,137,101,229,231,229,229,233,190,117,102,96,87,168,172,178,182,185,194,124,12,118,245,206,174,145,172,194,134,115,62,144,224,218,225,186,110,100,94,85,84
2,123,126,130,134,137,139,141,144,146,147,149,151,153,154,156,155,149,154,160,161,159,161,165,166,166,167,167,167,124,127,131,135,137,139,142,144,146,148,150,152,154,155,156,146,121,132,150,152,135,145,164,166,167,168,168,168,124,127,132,135,138,140,143,145,147,149,150,152,154,156,149,123,94,102,131,132,109,118,146,162,167,168,168,168,125,128,133,136,139,141,144,147,149,151,152,157,160,149,122,95,79,88,107,112,105,105,109,146,167,168,168,169,127,129,133,137,140,142,145,148,151,152,158,167,160,128,90,75,75,84,90,101,106,101,91,128,166,169,169,169,128,130,134,138,141,144,146,149,152,155,166,165,138,98,68,62,72,85,90,99,104,103,107,145,170,171,171,171,129,132,135,139,142,145,147,150,152,162,168,140,101,73,58,56,73,93,102,108,122,134,150,168,173,173,173,173,129,132,136,140,143,146,148,150,155,169,155,112,77,65,63,66,82,97,113,140,161,167,171,173,174,174,174,174,129,132,136,140,144,147,149,152,165,165,133,93,67,64,67,75,86,116,147,167,172,172,173,174,175,175,175,175,130,133,137,141,145,148,150,159,170,148,108,74,62,62,71,82,108,155,169,172,173,173,174,175,176,176,176,175,131,134,138,142,146,149,156,174,167,131,93,71,67,64,73,89,133,168,172,173,173,174,176,176,176,177,177,177,133,136,139,143,148,151,171,184,162,123,91,76,72,70,76,110,157,171,172,173,174,175,177,177,177,178,179,179,133,137,140,144,147,156,186,182,150,113,85,75,72,75,91,142,169,172,174,174,175,176,178,179,179,180,180,180,134,137,141,145,149,168,193,175,138,104,80,72,71,78,111,161,173,174,174,175,176,177,179,179,180,180,181,180,134,138,141,145,153,183,192,165,129,95,76,72,72,82,132,169,173,175,175,176,177,179,180,179,177,175,177,180,135,139,143,147,165,194,186,155,122,90,74,72,72,80,138,171,174,175,176,177,179,179,175,166,155,146,156,178,135,139,143,151,182,197,176,145,114,85,72,72,72,77,116,162,173,175,176,178,178,171,158,147,136,125,141,175,135,139,144,161,194,189,166,138,109,82,70,71,75,82,94,128,159,171,174,171,161,154,149,136,130,143,167,181,136,139,146,177,196,182,158,130,103,80,69,72,80,90,98,103,118,141,151,149,144,144,141,125,147,174,182,183,136,139,155,191,193,176,150,123,100,79,68,76,89,102,111,109,109,125,138,146,147,140,128,131,170,183,183,184,136,142,172,195,185,168,143,122,101,80,71,88,106,119,125,121,118,129,139,140,138,135,139,162,182,184,183,184,136,152,187,192,181,164,142,123,102,81,77,101,119,126,131,128,120,125,131,133,146,162,174,181,184,184,184,184,139,170,195,188,178,161,140,121,101,83,84,110,123,126,131,127,112,117,138,160,175,181,183,183,184,185,185,185,152,188,194,184,174,155,132,115,99,84,89,113,122,122,127,121,125,149,170,179,182,183,184,184,185,185,185,185,176,194,186,178,168,145,121,106,92,83,94,111,120,118,124,139,164,177,181,181,182,182,183,184,185,185,185,185,192,189,177,167,158,134,112,99,88,86,94,105,117,123,145,168,177,180,181,182,182,183,183,184,186,186,185,185,188,181,170,159,152,124,103,96,90,90,92,108,135,154,170,177,178,180,181,182,183,183,183,185,186,186,185,185,183,177,165,155,151,118,97,96,93,91,106,141,162,172,176,178,177,179,181,182,183,183,184,185,186,186,185,185
2,70,78,90,109,118,125,132,136,137,141,145,148,151,154,156,158,160,161,162,164,164,165,166,166,165,166,166,166,71,80,93,110,119,126,133,137,139,142,144,148,152,156,157,159,162,163,163,166,167,167,168,167,167,168,168,168,72,81,95,112,121,128,135,138,140,144,145,152,151,144,155,158,160,164,166,169,169,169,169,170,170,170,169,169,73,82,98,114,123,130,136,139,141,145,152,184,173,156,152,145,147,158,155,155,167,171,172,172,171,171,171,171,76,84,102,116,124,130,135,142,147,139,166,186,182,188,187,166,139,126,136,118,124,168,174,172,172,172,172,172,77,85,104,117,126,131,134,177,181,172,174,165,150,147,160,180,159,114,87,117,149,135,162,175,173,173,173,174,76,86,105,117,126,130,155,199,178,180,188,186,172,140,106,112,158,138,96,93,133,97,137,178,174,175,175,175,78,88,107,118,127,131,184,161,144,151,158,151,162,166,133,130,118,141,148,127,87,112,166,175,174,176,176,176,80,90,108,120,126,143,174,170,169,161,144,130,154,150,155,157,119,90,136,129,89,164,177,175,175,177,177,177,81,90,111,121,133,181,183,184,175,166,161,156,157,110,86,108,90,107,111,102,124,176,176,176,175,178,178,177,82,93,112,119,176,185,160,147,127,105,110,112,100,82,68,77,147,173,169,165,176,177,178,179,178,179,179,178,82,95,112,136,199,155,112,89,68,64,66,67,75,72,66,82,174,175,177,179,179,179,180,174,174,181,179,179,83,97,110,175,178,129,93,65,54,64,63,62,70,69,62,75,174,176,176,179,181,160,130,119,117,146,181,179,84,96,137,202,144,101,75,63,60,61,61,67,67,61,56,62,168,178,179,181,140,106,114,122,121,100,169,182,86,95,175,185,127,97,82,72,60,58,63,65,62,61,64,54,141,184,184,147,108,127,137,135,117,103,175,184,87,97,182,166,119,95,80,65,54,57,62,67,66,67,66,64,86,178,174,107,128,140,134,116,121,165,185,184,86,102,183,160,120,91,69,57,55,57,64,72,73,74,78,82,74,86,126,114,134,130,102,132,182,187,184,184,88,105,185,157,115,82,65,61,56,60,70,75,81,86,94,100,97,65,102,129,122,97,92,180,188,187,186,186,88,108,186,157,123,94,74,64,56,61,72,84,95,102,108,110,111,86,114,125,106,80,131,193,187,188,188,187,88,114,182,151,124,97,80,71,59,61,74,95,109,112,117,121,121,101,108,124,100,86,172,191,189,189,189,188,90,114,177,147,124,101,88,80,65,63,80,107,118,123,127,131,125,109,97,121,93,97,190,190,190,190,190,190,92,112,170,146,125,109,96,83,67,63,85,114,124,128,129,131,121,104,95,94,94,158,194,192,193,193,193,192,92,110,163,143,127,114,97,83,70,66,88,113,119,122,122,121,112,96,84,121,177,195,194,194,194,194,194,193,94,106,156,145,127,112,95,81,73,73,94,107,110,109,111,110,98,82,126,193,194,192,194,194,194,194,194,193,94,104,155,150,128,110,92,84,80,80,101,103,105,104,103,97,84,115,184,190,189,190,193,193,193,194,194,193,94,107,165,152,126,108,99,93,87,83,97,96,96,94,84,95,139,185,190,190,191,192,193,194,194,195,193,192,91,147,165,158,130,111,104,96,88,78,79,80,79,84,131,171,188,188,189,190,191,192,193,194,195,192,195,201,111,177,131,151,135,110,97,89,80,73,71,70,64,94,184,184,185,188,189,190,191,192,193,194,194,196,195,199
22,194,196,197,199,199,199,200,201,200,201,202,202,201,201,202,201,200,200,202,200,198,199,197,199,176,75,27,27,196,198,200,201,201,203,204,204,204,205,206,206,205,204,204,205,205,204,205,204,201,201,199,202,182,61,35,46,199,201,202,203,205,206,206,206,207,208,209,207,208,207,207,207,208,209,207,206,205,204,204,200,207,112,37,60,200,204,205,206,206,207,208,210,209,209,211,211,208,210,213,209,210,210,208,211,209,208,206,203,209,156,45,50,203,206,208,208,208,210,212,212,213,212,213,212,220,188,195,217,212,216,201,177,215,210,209,206,206,207,70,37,206,208,210,210,213,213,213,214,215,215,215,211,236,177,163,226,213,222,209,129,213,213,213,210,207,183,93,12,207,209,212,213,214,215,214,216,217,217,217,215,235,175,152,230,216,220,194,124,210,216,215,211,224,140,119,85,208,211,213,215,215,215,218,218,218,219,220,216,243,196,143,227,218,220,199,130,206,219,215,220,214,124,157,168,210,214,216,217,219,217,219,220,221,222,222,216,245,226,140,223,221,223,208,141,209,221,215,229,192,133,160,195,212,214,217,220,221,220,221,222,223,222,223,219,237,249,144,216,226,220,199,145,214,224,219,243,183,139,202,194,214,215,218,218,219,221,222,222,223,223,224,221,232,255,148,194,231,217,199,142,212,225,226,242,162,156,228,164,215,216,219,221,222,222,223,222,223,224,224,223,230,255,190,158,233,221,213,150,210,225,236,224,134,174,231,182,216,217,220,221,223,224,225,224,225,227,227,226,227,255,222,138,217,217,212,152,213,230,240,207,122,199,227,213,218,219,222,223,223,224,225,227,228,226,227,230,224,247,214,162,170,160,206,173,223,241,236,177,135,226,222,221,218,220,222,223,223,224,224,227,228,228,229,230,232,255,226,201,194,102,153,192,211,209,211,144,172,234,221,222,217,217,218,222,222,223,224,225,225,226,229,225,248,238,247,199,209,164,126,132,159,164,160,123,216,228,223,222,216,217,221,223,223,224,226,225,225,226,228,229,248,197,226,196,169,215,195,124,102,141,123,130,233,223,223,221,217,219,222,223,224,225,226,225,226,230,227,240,252,218,204,198,106,184,208,177,115,101,103,142,235,221,222,221,215,218,221,222,222,223,225,225,227,230,227,247,245,197,157,196,107,89,184,206,178,109,80,160,237,223,222,221,222,225,228,228,226,228,230,229,231,234,227,243,247,191,158,164,131,72,149,233,220,171,87,182,235,223,223,221,186,190,194,199,202,207,211,214,218,223,221,235,255,205,165,132,147,159,215,220,236,203,132,144,243,235,234,231,103,103,106,109,109,110,114,115,118,125,114,192,255,234,162,140,176,232,251,234,227,200,158,117,176,174,175,185,108,109,110,110,108,108,108,108,107,112,95,180,255,255,165,149,171,239,253,244,217,184,134,98,103,130,166,200,110,108,107,109,111,111,111,112,113,114,106,179,255,255,168,168,165,242,255,243,211,178,109,146,227,233,242,247,107,107,107,107,109,110,110,112,113,116,105,154,255,255,185,190,159,235,255,228,200,163,99,179,240,224,224,238,106,108,107,107,108,108,109,112,112,113,108,124,245,253,206,190,165,218,251,205,178,136,99,172,199,219,221,224,105,106,107,108,109,107,108,111,111,110,112,107,218,251,214,179,157,188,232,182,145,110,106,198,156,171,202,220,106,107,108,108,113,109,108,110,112,112,113,104,207,233,192,164,142,146,200,161,124,95,124,219,150,151,191,216
4,180,179,179,178,177,177,176,175,176,175,174,174,174,172,171,170,168,168,166,165,163,163,161,159,158,158,158,156,181,181,180,179,178,178,178,178,177,176,175,174,174,172,171,170,169,168,168,166,166,163,162,161,160,159,158,157,181,181,181,180,181,180,179,179,179,178,177,175,175,173,172,172,170,167,167,167,167,165,164,163,161,159,158,158,183,182,182,181,182,182,181,181,180,179,178,178,177,178,177,172,173,174,168,167,167,166,166,164,162,161,160,159,185,185,185,184,182,182,182,181,179,180,180,170,161,164,163,170,151,147,171,171,169,169,165,164,163,162,161,160,186,186,185,184,183,183,183,181,181,181,180,169,161,157,137,113,120,113,120,164,160,163,171,164,164,162,162,160,186,186,185,185,185,186,185,184,182,170,170,155,123,95,142,98,65,122,109,89,93,88,134,172,163,163,162,160,187,187,186,186,186,186,185,184,179,177,169,159,128,66,106,107,53,101,107,64,68,81,75,169,165,164,163,161,187,188,188,187,188,187,186,186,184,146,110,134,155,89,97,123,114,104,89,57,95,106,65,140,173,164,164,163,188,188,189,188,188,187,188,184,186,155,88,51,161,131,100,124,148,131,95,97,95,115,83,128,176,164,164,163,189,190,189,188,189,189,188,188,177,130,83,31,83,112,69,88,102,127,107,107,98,106,83,102,177,164,165,165,190,191,190,190,190,190,189,189,170,135,113,90,58,66,67,59,49,94,121,105,96,95,94,75,168,168,166,164,191,191,191,190,189,191,190,188,175,159,130,94,63,66,81,72,76,71,82,90,94,120,118,66,142,175,165,164,191,192,192,190,191,192,190,188,180,149,111,84,62,66,75,85,102,88,66,81,150,143,124,77,111,178,164,164,193,193,193,193,193,193,189,190,178,143,109,75,61,66,80,97,100,92,99,115,127,144,140,101,87,175,165,166,194,194,193,194,194,193,190,189,182,158,125,86,66,75,88,104,102,109,140,157,139,143,146,109,68,165,169,166,195,194,195,195,195,195,192,187,178,159,133,94,68,74,91,114,123,131,148,153,149,136,118,98,57,158,171,166,195,195,195,195,196,195,194,187,177,169,143,111,78,72,93,116,136,151,160,156,139,125,104,71,66,171,169,167,194,195,195,195,195,195,194,186,173,173,151,122,94,73,82,130,149,165,164,153,131,114,93,47,112,180,168,168,196,196,196,195,195,196,195,184,169,169,155,128,102,82,84,144,159,164,159,143,120,104,75,57,168,172,170,169,196,196,196,195,194,195,196,181,165,164,162,138,107,95,94,149,160,157,150,132,110,94,52,113,183,170,171,169,197,196,196,196,196,195,198,181,163,166,163,142,117,104,105,149,156,154,138,116,100,76,57,169,176,173,170,169,198,196,195,197,197,196,197,186,169,173,167,146,124,103,103,148,149,143,125,99,87,47,115,186,173,174,172,171,197,196,195,198,197,198,198,190,172,177,164,147,131,106,98,139,139,127,108,90,61,64,178,178,175,174,173,172,198,198,197,200,198,198,199,191,181,177,162,150,135,115,100,120,124,110,94,75,41,149,185,176,175,175,173,172,198,198,199,199,199,197,199,191,182,173,160,147,133,123,108,106,113,98,81,41,108,191,177,177,176,174,174,172,198,198,199,200,200,199,196,186,181,173,163,155,145,133,119,100,100,86,58,68,184,181,180,178,177,175,173,172,199,199,199,200,200,201,187,177,182,174,160,157,144,128,120,100,90,75,45,140,191,179,181,178,177,176,174,173
13,176,177,178,178,178,179,179,179,179,178,179,180,181,181,182,183,180,180,181,181,179,180,180,179,179,177,175,177,178,178,178,179,179,179,180,180,179,181,183,181,179,179,176,176,186,185,183,181,179,179,181,181,180,178,177,177,179,179,180,179,181,180,180,179,180,181,180,182,195,198,177,137,130,166,163,181,182,182,183,183,181,181,179,178,179,179,180,180,180,181,180,180,181,181,179,204,216,214,198,145,94,68,103,109,185,182,182,181,181,181,178,180,179,180,180,180,180,180,182,182,180,181,182,170,173,202,205,158,104,53,84,57,147,191,179,183,181,182,182,182,179,179,180,181,182,182,181,183,183,146,167,166,141,164,194,173,118,59,99,107,125,195,182,184,183,183,182,182,179,180,182,182,182,183,178,201,202,136,138,169,173,181,173,179,149,60,99,98,115,196,184,184,185,184,182,182,180,180,182,183,183,182,181,219,203,164,136,101,146,175,167,134,93,49,39,103,171,188,186,185,185,185,184,184,179,181,181,183,180,194,148,127,181,191,166,96,32,120,171,140,113,90,62,85,197,186,186,186,185,185,186,184,179,180,181,174,196,205,129,74,101,204,181,133,32,23,86,121,151,165,136,70,122,201,184,187,186,184,185,183,179,180,178,197,209,179,122,98,54,173,195,138,89,22,22,47,178,191,175,133,67,154,196,183,184,184,184,182,180,178,191,209,170,165,137,124,49,116,205,150,129,50,33,25,122,207,191,152,102,75,183,186,183,185,184,183,181,182,199,172,129,158,152,132,74,36,180,183,153,96,19,61,141,193,193,153,126,73,139,197,183,185,185,185,180,187,205,185,142,143,168,130,118,47,59,196,170,139,75,99,208,185,172,142,126,76,133,199,185,187,187,186,178,188,199,181,158,126,147,156,152,108,12,85,186,174,160,120,195,178,153,114,94,62,153,196,186,186,186,186,182,186,201,198,177,151,117,141,161,135,110,25,145,175,159,176,184,162,141,108,70,60,178,190,187,187,186,185,172,173,202,209,194,167,150,135,139,138,156,84,175,198,191,193,175,154,130,100,63,86,198,192,192,191,189,188,89,85,191,213,201,179,161,157,158,137,106,130,198,210,209,184,169,150,122,89,59,106,177,171,175,175,178,179,72,50,154,217,203,190,173,161,166,166,133,126,184,209,204,184,153,135,113,79,66,71,78,82,81,82,82,83,77,64,106,210,197,196,190,175,167,165,154,113,145,203,193,176,151,118,95,73,64,73,66,58,59,72,104,134,75,75,70,178,190,190,193,190,176,164,150,132,115,178,180,160,139,109,85,70,60,75,95,118,151,177,190,181,74,78,66,112,195,183,193,198,180,166,148,133,117,139,165,143,116,100,82,61,67,144,187,195,190,183,187,179,74,74,77,63,152,192,189,189,171,157,142,127,115,115,135,135,117,96,78,46,130,222,196,181,172,157,158,170,75,75,76,68,81,189,185,167,153,144,135,124,102,95,119,139,126,86,64,51,191,205,189,175,147,125,120,139,75,74,72,76,60,156,195,156,135,137,131,120,100,81,123,152,112,74,45,105,224,195,195,176,124,93,116,128,75,75,72,78,63,118,199,164,152,152,136,115,100,81,128,150,88,68,41,176,212,190,208,188,130,77,99,128,74,76,71,77,65,100,201,176,166,167,144,123,112,82,125,137,83,57,64,210,188,183,208,208,152,84,79,118,76,77,72,76,65,99,193,185,179,172,148,134,123,77,117,130,84,44,97,214,185,179,197,216,172,95,67,94
0,187,188,190,192,193,195,199,198,200,201,201,201,202,203,206,203,206,207,206,207,207,206,206,207,207,206,207,207,188,190,193,194,196,197,199,200,201,202,203,203,204,206,208,207,207,207,207,208,209,208,209,208,208,207,208,208,187,190,193,197,199,199,201,202,203,206,206,206,207,209,208,207,209,210,208,208,209,210,210,210,210,209,209,210,188,191,194,197,198,199,202,203,205,208,207,208,209,208,208,211,211,209,209,210,212,212,209,212,212,212,211,213,191,194,196,198,199,200,203,205,207,206,210,212,210,217,222,206,206,219,231,205,208,235,187,207,216,215,215,213,194,196,198,199,201,205,205,206,205,219,244,205,184,243,232,188,165,231,237,197,175,235,186,179,221,212,214,214,194,197,200,202,203,205,207,212,207,249,244,215,154,203,230,204,152,178,235,206,154,204,212,160,210,216,214,217,197,198,200,203,206,204,238,228,191,246,237,227,171,188,230,214,163,177,239,209,143,159,222,177,163,202,221,216,197,199,201,205,199,225,255,231,187,221,245,225,187,187,231,219,161,189,238,196,147,107,205,202,179,150,198,222,196,200,203,205,200,245,255,240,205,201,247,222,188,178,241,224,148,190,230,172,133,68,168,219,200,142,175,231,199,201,205,203,212,250,251,251,217,185,243,224,182,176,244,218,139,150,192,158,103,84,208,229,207,147,193,229,200,202,205,199,227,239,230,251,219,172,226,220,174,163,227,200,140,112,162,150,74,137,238,227,198,147,219,226,202,204,207,201,245,245,225,227,182,135,192,199,164,135,174,170,132,103,167,144,114,215,234,216,162,158,230,224,202,206,206,219,255,236,195,205,155,113,166,177,158,109,139,156,99,133,209,211,217,217,212,190,145,182,233,225,203,207,200,232,255,238,202,185,171,128,150,187,166,92,116,155,175,235,242,232,216,192,177,164,139,195,231,226,208,210,203,224,255,248,227,191,172,145,152,205,162,89,140,231,255,245,237,224,204,178,156,150,128,214,230,228,209,210,208,225,255,252,236,217,192,174,181,195,178,198,252,255,249,238,227,211,186,162,151,131,171,235,227,230,208,212,208,231,255,254,243,229,218,191,197,215,239,255,254,250,243,229,209,190,168,154,135,155,232,230,230,229,207,212,208,230,255,254,251,241,231,214,210,229,244,254,254,247,236,220,195,169,151,140,133,220,233,231,232,230,208,213,209,229,255,254,254,247,236,225,218,224,241,253,246,237,228,205,176,153,142,124,194,239,230,232,232,232,208,213,214,225,255,254,254,246,229,216,215,217,231,241,233,217,207,188,158,147,119,172,241,232,234,235,234,233,209,214,215,216,250,255,250,237,223,208,209,214,223,225,210,195,178,162,145,118,155,241,234,235,234,235,234,233,213,218,221,215,244,255,244,233,220,206,215,223,225,218,199,180,155,135,105,129,233,238,235,236,236,236,234,235,195,185,184,170,173,179,164,154,148,143,156,159,154,149,136,132,123,106,116,236,239,233,237,236,237,238,236,236,150,139,140,133,120,118,115,103,96,82,77,68,61,63,59,59,64,68,97,176,235,238,237,237,238,238,237,236,140,144,140,135,129,124,117,105,96,86,82,69,64,62,59,55,54,57,58,40,165,253,235,238,238,238,237,237,150,141,143,139,131,119,114,105,92,86,77,68,62,60,57,52,54,54,60,41,191,248,235,237,238,238,239,240,164,144,144,137,131,120,113,102,88,85,76,68,62,59,56,52,51,55,45,95,250,236,238,238,239,239,240,241
13,148,153,155,156,159,161,163,165,164,165,167,167,168,167,167,167,167,165,165,165,163,161,160,160,159,156,156,154,151,154,155,158,160,162,164,165,166,168,168,169,170,170,170,169,169,169,168,166,164,164,163,163,161,159,157,155,152,154,158,159,160,164,166,167,169,170,171,171,171,171,170,171,171,171,171,170,168,167,166,165,163,161,160,159,153,156,160,160,161,164,167,169,171,172,172,174,174,174,174,171,172,175,174,170,170,170,168,167,165,164,162,161,154,157,159,161,163,165,169,171,171,173,172,176,177,168,172,178,174,170,174,176,170,171,170,168,168,166,164,161,155,158,160,161,165,168,170,172,173,175,174,177,164,126,96,155,168,120,93,146,180,171,171,170,169,167,166,163,156,159,162,162,166,169,171,172,174,176,174,181,175,138,104,80,127,120,69,66,180,173,174,172,171,169,167,164,158,160,162,164,168,170,173,174,175,178,178,181,193,151,127,63,93,130,91,40,154,182,176,174,173,171,168,166,158,162,163,164,168,171,174,176,177,179,179,178,189,156,115,63,69,119,89,33,138,186,175,176,175,173,171,170,158,163,164,166,169,172,174,178,179,180,184,187,180,154,110,69,49,87,70,27,135,187,175,176,175,173,171,170,159,164,165,167,170,173,176,179,179,175,143,158,157,150,112,82,48,88,78,32,154,187,177,177,176,174,172,171,159,163,165,169,171,176,178,179,182,156,98,79,86,134,155,110,60,95,97,36,151,190,178,178,178,176,174,173,160,164,167,170,171,175,179,180,193,151,106,92,58,115,182,126,61,75,89,29,86,194,178,179,178,177,175,175,161,166,168,170,174,175,177,164,123,140,126,113,69,35,123,88,52,66,63,52,43,152,191,178,179,178,177,175,161,166,169,171,174,171,185,149,84,85,145,117,97,29,4,16,34,72,71,78,63,79,192,181,180,178,178,177,162,167,169,171,172,188,189,128,103,78,116,126,96,68,5,29,48,56,103,101,89,44,157,190,180,179,179,177,162,166,171,172,176,190,147,135,120,102,76,122,103,83,24,30,100,110,115,103,89,42,132,194,180,181,179,177,163,168,172,173,176,196,147,120,118,99,75,93,96,59,26,35,127,146,140,93,75,42,149,194,180,180,178,177,164,168,171,174,180,186,147,99,89,87,61,31,64,51,39,56,145,142,133,102,62,46,177,189,184,181,180,178,164,168,172,173,178,180,168,140,95,59,34,14,50,77,57,110,167,138,124,95,45,69,196,185,186,183,181,179,165,170,173,173,175,179,177,154,121,95,79,74,76,87,98,170,162,129,107,90,35,104,202,186,187,184,182,180,166,171,172,174,178,177,171,161,136,118,92,90,109,152,165,168,146,121,97,80,31,140,200,186,188,184,182,180,167,171,171,175,178,180,168,148,132,110,90,92,104,167,163,150,131,109,89,63,35,172,195,187,187,185,183,180,167,172,173,175,178,182,160,136,133,112,97,100,100,149,157,146,120,96,78,48,54,196,189,189,187,185,184,182,168,172,173,176,178,185,172,143,133,116,109,104,102,143,152,140,113,81,68,23,106,205,188,189,187,186,183,182,167,171,171,175,178,183,187,152,132,127,112,97,92,123,138,123,94,65,45,34,180,195,190,189,188,185,184,183,166,171,172,175,178,181,187,179,143,125,107,97,89,105,122,111,81,63,23,101,206,189,191,189,187,185,185,185,164,169,171,173,177,181,183,186,165,129,108,94,93,98,113,107,80,61,28,157,198,189,189,187,186,185,183,182
11,138,142,145,148,150,152,154,157,158,160,161,162,163,166,168,167,169,170,169,171,172,172,173,173,173,173,172,172,139,142,146,149,151,154,156,157,160,161,163,164,167,168,168,169,169,171,172,173,174,174,175,174,174,174,174,173,140,143,147,150,151,154,156,158,161,161,163,165,167,168,168,170,171,172,173,174,174,175,176,175,175,175,175,175,140,145,148,151,153,155,155,159,161,162,164,165,167,169,169,168,173,173,174,175,175,175,175,176,176,176,176,176,141,146,149,151,153,155,157,160,162,165,166,167,168,170,173,159,142,177,175,176,177,177,177,177,177,177,177,177,142,146,149,152,154,157,159,161,163,166,167,168,170,169,176,165,113,171,178,177,177,178,179,178,178,178,178,177,143,147,150,153,156,157,159,163,164,166,168,169,171,169,183,158,113,172,178,178,178,178,178,179,178,178,178,177,143,147,151,154,156,157,161,163,166,168,169,169,171,170,190,139,121,181,177,179,179,179,179,179,179,179,179,179,143,148,152,155,156,158,161,163,166,168,170,171,171,177,191,130,135,185,178,180,181,180,180,180,180,180,180,179,145,149,152,155,157,159,161,163,166,169,170,170,169,187,169,116,152,183,179,181,181,181,181,181,181,180,180,180,145,149,152,155,157,160,162,164,167,168,168,168,173,192,135,112,171,181,180,180,180,181,181,182,181,180,181,180,145,150,152,156,158,159,163,165,165,165,179,178,139,151,122,125,184,179,181,181,181,182,182,181,182,181,181,180,145,149,153,154,157,162,156,166,182,149,152,168,128,109,110,153,185,179,181,181,181,182,182,181,182,182,181,181,145,149,153,171,189,182,149,121,175,146,113,147,126,102,105,174,181,180,181,182,182,182,182,182,183,182,182,183,146,146,168,177,167,182,149,112,161,128,123,160,118,91,120,185,179,181,182,182,182,184,184,184,183,182,183,183,145,151,171,158,144,173,145,115,157,114,136,152,110,87,138,188,179,182,182,182,182,184,184,184,184,184,183,182,142,162,177,144,122,158,137,111,142,110,145,136,99,86,151,187,179,181,182,182,183,183,184,184,185,184,184,183,142,178,175,147,126,144,111,115,126,104,139,120,93,82,157,186,180,183,184,185,184,186,187,184,184,184,184,184,152,191,167,148,128,127,104,125,106,110,152,101,85,88,139,185,180,178,172,165,161,158,173,188,184,184,184,183,168,193,161,147,130,117,112,138,84,92,130,90,107,123,124,154,167,172,171,164,155,140,129,156,188,184,184,184,170,185,165,152,137,121,119,130,118,132,140,150,154,152,157,164,169,165,153,138,133,138,132,110,174,187,184,184,165,182,169,159,143,129,138,159,171,167,164,165,161,150,154,155,132,129,142,154,170,181,171,155,179,187,185,184,168,188,170,161,144,134,147,171,165,158,163,159,152,130,123,122,146,174,187,190,189,187,188,190,186,185,185,185,181,189,163,154,138,134,148,163,158,156,159,146,123,106,133,170,188,186,184,185,185,186,186,185,186,186,186,186,190,163,149,143,138,140,145,149,154,151,137,108,109,153,184,185,183,184,185,185,186,187,187,186,186,186,186,187,188,158,147,149,146,143,143,137,141,125,99,127,173,185,180,181,184,184,184,185,186,187,186,186,186,187,186,185,183,170,140,158,158,145,138,123,117,103,145,180,178,177,179,180,182,182,182,183,185,185,185,186,184,185,186,189,182,172,136,164,161,140,125,113,97,140,181,172,175,177,178,179,180,182,182,183,184,184,185,184,193,200,201,202
15,83,86,89,92,95,99,109,119,127,132,136,139,143,147,151,152,156,158,160,161,163,165,166,166,166,167,168,167,84,86,88,93,95,100,110,120,127,134,137,138,143,148,151,154,157,159,161,163,165,165,167,167,167,169,170,170,84,85,88,93,97,102,113,122,129,136,139,140,145,150,153,157,159,162,163,165,166,167,169,170,170,170,170,171,85,86,89,94,92,98,111,122,129,136,139,142,146,152,154,158,161,163,164,167,168,170,170,171,173,171,172,173,85,86,90,92,121,129,128,127,134,141,140,143,148,153,158,160,161,163,166,169,170,171,172,174,175,175,175,175,84,90,82,129,193,145,138,133,147,157,142,137,139,148,149,158,166,167,169,169,171,173,174,176,177,176,176,176,86,90,82,128,165,110,109,109,142,140,123,123,157,158,136,126,135,155,164,174,177,173,176,178,178,178,178,178,87,88,90,93,106,99,101,97,126,120,104,114,161,161,142,110,125,133,140,137,159,182,176,179,179,179,180,179,86,88,91,95,95,105,114,121,127,123,115,117,151,155,121,114,163,147,146,136,105,151,187,178,182,181,181,181,87,89,91,95,98,106,119,130,139,145,145,145,138,118,100,182,158,158,127,159,138,92,162,187,181,183,183,183,88,88,91,95,97,106,119,129,138,142,150,179,128,100,107,160,153,125,124,159,142,126,87,176,185,183,183,184,86,88,90,94,97,107,119,130,139,141,167,188,154,99,79,81,115,99,145,130,134,143,89,105,193,183,185,185,87,89,91,94,97,108,121,130,140,143,158,190,178,137,118,100,88,103,160,126,135,111,107,70,144,198,184,187,87,89,91,94,98,108,122,131,140,144,169,167,173,159,173,153,103,101,101,108,108,83,75,78,74,176,192,187,87,89,91,94,98,108,120,132,137,160,184,153,151,139,169,147,88,89,92,87,96,81,64,72,62,86,189,190,88,89,92,95,97,109,122,132,139,158,154,121,125,131,152,115,84,90,88,91,99,90,71,71,71,53,120,200,88,89,90,95,98,110,122,132,141,150,163,129,126,101,90,82,75,80,81,83,87,83,83,80,70,67,67,179,88,89,91,94,98,111,123,133,139,157,176,176,151,111,92,111,100,60,84,94,92,88,94,92,76,71,59,120,87,89,91,94,98,111,123,133,142,149,158,175,159,129,122,116,121,65,87,113,106,107,112,104,79,65,70,66,88,89,91,94,98,111,123,134,144,149,154,153,139,117,85,81,114,134,82,112,124,122,114,97,71,68,73,70,88,87,90,93,98,111,124,135,143,149,150,153,136,112,84,68,98,126,91,90,131,129,105,83,69,73,75,74,88,87,90,92,98,111,124,135,144,149,150,156,164,169,171,152,121,144,145,117,114,110,88,79,75,79,78,74,85,86,89,90,96,110,123,134,143,148,150,154,160,164,173,171,96,114,129,139,103,105,94,71,58,57,57,60,83,85,88,88,95,110,123,134,144,147,149,155,161,165,177,148,76,72,53,57,65,68,56,42,35,32,29,24,84,84,87,88,94,109,121,134,143,148,150,156,161,165,179,126,76,80,77,34,37,49,42,37,36,33,27,19,82,84,86,88,93,108,122,134,143,149,151,156,162,167,175,106,75,72,73,65,14,39,44,38,36,33,27,20,81,81,84,86,93,107,121,133,142,149,151,155,161,170,161,81,74,72,66,73,19,17,38,35,27,25,25,17,78,79,83,84,92,106,118,131,141,147,148,154,160,174,132,73,78,68,65,76,23,11,27,29,23,27,29,14
12,145,148,150,153,155,156,158,161,163,165,165,166,167,168,168,170,169,169,170,169,170,172,171,170,171,172,172,172,147,148,151,154,156,159,161,163,165,166,168,168,170,169,171,171,171,171,172,171,172,173,172,171,172,174,174,174,149,151,154,156,159,162,162,164,167,169,169,170,172,171,171,172,173,173,174,173,173,175,172,173,176,175,175,176,150,154,155,158,160,163,165,167,169,170,171,170,176,178,177,174,176,176,180,181,175,176,177,177,178,178,177,177,152,155,156,160,162,163,167,169,171,172,172,174,169,154,161,179,178,165,141,155,181,176,179,179,178,178,179,179,154,156,159,161,163,165,169,171,172,174,172,188,177,147,114,161,195,171,136,85,174,182,178,187,181,180,180,180,155,157,161,163,166,168,170,172,173,175,173,210,201,175,133,108,199,172,145,102,117,134,128,139,186,181,182,182,156,159,161,164,167,170,171,174,175,176,180,210,213,184,147,101,194,183,147,121,56,115,127,80,140,193,182,184,159,161,163,166,169,170,173,176,178,177,187,199,215,202,164,116,183,195,146,105,57,141,137,78,83,194,183,186,161,163,165,168,170,171,174,177,178,176,188,151,131,192,172,110,159,182,129,87,60,149,139,75,73,189,187,187,162,164,167,169,171,174,176,178,176,197,193,129,84,126,157,93,143,159,123,95,58,137,135,85,70,189,189,189,163,165,168,170,173,176,179,177,196,202,185,136,109,85,138,87,129,157,117,87,60,142,130,87,75,192,188,190,164,166,170,171,174,176,178,186,196,171,189,155,122,72,99,89,111,154,122,80,72,160,147,92,81,199,191,191,165,168,170,173,175,177,177,193,178,137,179,153,116,74,68,116,106,171,150,90,100,210,177,95,117,204,190,192,165,168,170,174,177,179,181,196,185,144,148,151,119,72,52,120,94,147,141,81,76,175,137,60,103,204,192,192,167,169,171,175,178,178,185,191,172,133,131,161,106,77,27,56,39,48,132,91,113,144,94,85,64,143,203,190,168,169,173,176,179,180,188,200,174,141,122,154,95,78,35,26,26,109,181,179,171,159,130,104,74,96,204,191,168,171,174,177,180,181,192,199,173,140,104,137,95,86,34,40,94,179,184,177,160,146,119,93,68,116,206,192,169,171,174,176,180,178,193,198,175,153,116,103,108,100,44,73,167,192,194,181,151,135,112,87,63,151,207,195,170,173,175,177,181,179,193,198,180,163,148,115,96,88,95,137,201,195,204,175,141,127,104,82,68,177,204,197,171,173,176,179,182,183,194,199,188,168,156,151,124,112,137,152,201,202,202,165,130,117,95,72,98,200,199,198,172,174,176,179,182,183,191,198,190,174,163,159,150,124,129,142,204,203,183,155,124,106,90,64,145,209,198,199,172,175,178,180,182,183,187,191,186,179,168,159,150,131,119,150,205,197,166,143,118,97,83,68,182,203,198,200,172,175,180,182,183,185,187,185,184,181,167,161,149,133,114,151,188,183,148,128,108,89,71,92,205,198,200,201,172,175,179,181,184,185,189,187,187,186,168,161,151,134,111,148,173,158,132,114,98,86,62,143,212,199,202,202,173,175,178,180,182,184,186,187,191,182,164,154,144,124,106,145,155,130,117,98,88,75,85,196,202,202,203,202,173,176,177,180,183,184,186,185,193,173,151,143,124,106,110,139,142,118,110,91,84,69,150,205,198,200,201,202,173,176,177,180,183,185,184,183,197,170,153,142,113,108,117,139,135,115,102,88,73,107,203,197,198,200,202,202
0,164,164,166,166,166,167,167,167,167,167,166,167,167,166,167,167,166,166,165,164,165,165,163,162,162,162,162,161,166,166,167,168,168,168,168,168,167,167,167,168,168,168,168,168,167,167,167,167,166,166,164,163,162,164,163,163,167,169,170,170,170,171,170,170,169,170,169,169,169,169,168,168,168,167,166,166,166,163,154,165,164,165,164,164,170,172,171,171,171,172,172,172,171,171,170,170,170,171,156,143,156,162,147,138,158,161,120,157,166,165,165,165,171,172,171,172,172,173,173,173,173,173,163,150,163,179,158,127,110,149,142,123,112,140,123,128,166,166,166,166,171,172,172,173,174,174,174,172,173,185,165,136,140,179,161,139,104,145,147,135,102,95,143,115,137,161,168,167,172,173,173,174,174,174,176,158,151,186,171,151,139,178,163,145,102,149,150,134,105,70,130,134,114,118,164,168,172,174,174,175,174,181,188,167,136,162,182,156,133,182,167,143,94,151,147,119,105,54,98,147,130,92,146,169,174,175,176,176,176,187,189,179,156,132,182,158,124,177,169,137,90,127,133,102,92,45,105,159,144,99,133,171,175,176,176,177,180,181,178,182,159,114,164,159,119,155,164,126,85,86,106,92,78,48,131,165,146,102,125,173,174,175,176,176,180,170,144,158,137,98,132,145,109,117,135,105,82,59,83,96,78,69,143,162,141,99,118,173,175,176,177,177,180,179,149,148,118,83,106,123,96,84,107,92,74,58,111,141,128,123,141,150,134,95,113,173,176,178,179,179,183,189,165,150,118,91,91,109,94,67,92,107,110,139,162,157,147,137,125,128,126,97,106,173,178,180,180,180,188,188,166,143,124,102,78,113,111,67,104,159,174,178,170,156,144,131,116,109,113,99,102,172,179,180,180,180,194,199,183,163,140,114,94,114,117,123,168,186,184,175,165,152,139,125,108,99,100,93,115,174,181,180,182,181,196,203,190,169,150,141,139,141,157,179,189,185,179,169,159,147,132,115,100,95,95,93,149,178,181,182,183,182,200,208,193,173,157,152,152,162,176,184,188,183,172,165,152,138,125,107,96,95,91,130,175,179,181,182,184,184,201,212,198,183,170,162,163,174,182,185,184,175,167,161,144,129,116,101,95,89,109,172,180,179,181,182,183,183,200,213,205,190,176,166,165,175,184,183,177,165,157,151,135,120,108,99,93,93,153,181,180,180,182,183,184,184,195,212,210,197,179,165,160,165,171,168,167,154,141,138,122,110,103,95,92,139,179,181,181,181,184,184,185,186,189,206,205,193,178,163,158,162,165,167,164,150,134,128,112,102,96,99,140,178,181,182,183,182,185,185,186,186,186,195,194,182,170,156,158,162,158,164,159,146,134,123,106,92,101,152,181,183,182,183,183,182,185,186,187,187,187,191,183,178,173,165,171,165,148,159,156,140,126,114,96,88,151,183,184,183,183,183,184,183,186,187,187,188,188,191,189,192,185,176,173,165,141,151,154,134,118,104,81,121,183,185,186,186,185,184,184,183,186,187,187,187,188,192,202,200,189,171,167,161,136,147,143,128,113,94,83,159,188,186,187,186,185,185,185,185,186,187,188,188,188,188,208,201,187,163,163,158,138,140,133,124,110,86,92,177,188,187,187,186,185,186,186,185,187,187,188,188,188,185,204,195,180,159,163,162,135,128,129,120,107,84,102,185,188,188,188,187,187,187,186,185,186,187,187,188,188,186,202,187,173,158,163,160,128,131,127,117,104,83,104,185,188,188,188,188,187,187,187,186
0,190,192,193,192,193,195,195,195,195,195,194,193,193,194,194,195,195,193,195,195,194,195,196,195,193,194,194,193,192,194,195,194,194,196,197,196,197,195,195,196,196,196,194,194,196,200,196,197,197,196,196,196,195,197,196,196,195,195,196,196,196,196,197,197,196,197,196,195,197,196,207,194,155,166,203,191,193,202,201,199,197,195,197,197,195,195,196,198,200,198,196,198,198,197,200,200,169,159,211,188,154,127,129,148,137,176,195,152,184,201,196,197,196,196,197,198,199,198,198,199,200,201,225,211,171,134,174,196,166,153,81,130,138,117,170,124,162,209,197,199,195,197,198,198,198,200,198,205,185,171,226,208,180,150,167,216,171,160,97,151,152,119,140,131,153,211,199,201,196,198,199,200,200,200,203,231,186,137,180,225,187,158,153,229,186,165,103,167,157,112,111,133,128,215,198,201,198,199,199,200,202,197,217,226,193,165,156,230,197,158,140,228,191,162,99,169,154,100,97,146,89,195,205,201,199,200,200,201,199,215,212,210,205,179,136,209,204,153,121,220,193,149,82,134,139,91,86,154,81,137,215,201,200,201,201,201,202,219,182,202,217,185,128,181,211,151,101,185,182,134,75,106,125,83,88,158,93,111,214,203,201,201,203,199,213,213,170,180,211,182,127,149,201,145,90,147,167,125,83,92,113,71,103,168,107,115,215,204,201,203,203,201,213,207,176,166,190,164,117,120,179,136,85,110,160,121,79,92,116,79,151,182,119,118,216,206,199,200,199,205,214,194,165,136,172,159,113,98,168,135,77,86,158,120,70,111,124,99,184,178,120,126,217,205,198,200,200,200,226,212,176,126,140,161,103,87,161,139,76,80,164,118,127,185,155,117,174,183,120,135,216,204,200,202,201,202,225,213,180,141,101,137,128,84,163,157,86,89,161,164,184,182,164,133,129,170,112,140,218,205,202,203,202,205,228,217,192,161,122,109,136,104,157,168,143,178,192,190,179,167,147,133,113,116,94,134,219,204,202,203,203,205,229,224,199,172,156,145,137,156,174,185,202,204,202,193,177,162,138,120,112,95,79,128,220,205,201,202,202,206,225,224,207,187,174,164,153,153,176,191,202,201,203,195,173,156,137,113,101,96,72,152,219,206,201,201,202,205,220,220,213,200,191,172,161,157,168,188,200,201,196,189,168,151,132,110,98,81,113,205,212,210,206,207,208,201,215,220,221,212,196,176,162,160,170,193,202,202,190,182,165,147,127,107,85,99,199,210,209,210,166,170,177,169,199,221,225,216,196,179,165,159,169,197,204,196,184,175,160,139,117,98,83,184,220,213,216,215,97,98,104,89,145,225,216,209,197,183,171,157,168,193,193,180,168,160,147,127,108,90,105,167,168,172,168,167,104,104,105,94,114,220,204,197,197,188,177,156,164,190,186,169,150,136,125,115,97,95,101,97,93,90,112,150,102,104,106,101,106,213,194,191,199,191,174,156,159,188,182,160,128,110,104,96,96,105,100,99,128,176,216,216,102,103,102,104,105,206,193,192,200,186,173,163,157,181,176,147,108,94,89,96,104,108,137,183,222,223,209,193,102,103,102,105,100,206,207,195,197,181,168,165,152,162,164,131,94,89,89,95,118,194,231,240,226,219,212,191,103,102,102,104,96,204,215,203,196,179,169,172,149,152,156,122,89,84,88,145,219,238,236,230,219,225,230,215,104,103,103,104,98,194,213,210,195,179,170,172,146,144,152,118,87,70,148,228,227,228,232,218,212,222,232,234
4,199,201,203,204,206,206,205,205,205,206,207,206,206,209,211,207,206,210,210,207,206,207,206,206,205,205,205,203,202,204,205,206,208,208,207,207,208,208,210,210,208,200,193,205,213,193,186,212,213,207,210,210,207,205,206,206,205,207,206,208,210,211,210,209,212,211,206,208,220,205,168,154,178,186,155,151,202,216,211,212,211,209,209,209,207,207,208,210,212,212,213,214,211,206,191,172,167,216,222,168,102,127,183,126,89,208,216,211,213,212,213,211,210,209,210,212,212,214,215,215,221,229,226,182,120,114,221,167,113,47,118,140,57,170,227,213,214,215,214,214,212,213,214,215,214,209,211,175,154,200,200,209,139,62,166,182,108,50,69,133,68,153,232,216,216,217,216,214,215,216,216,216,215,221,223,170,89,84,138,217,176,73,85,195,161,73,43,164,93,146,234,218,219,218,218,216,217,216,216,216,221,198,188,185,115,54,56,202,219,111,50,199,196,105,43,155,125,160,233,220,220,220,220,220,216,217,219,217,217,206,135,165,172,103,21,151,222,119,56,154,197,119,46,98,104,173,235,221,223,222,223,222,218,220,221,221,221,212,127,116,178,125,60,91,122,98,74,84,128,95,53,74,69,90,232,223,226,224,222,223,221,221,221,221,225,218,195,164,138,99,65,85,85,91,103,103,94,78,69,114,119,78,168,239,222,225,224,223,221,222,223,223,226,229,202,169,131,99,85,96,96,97,123,114,116,78,117,173,162,139,105,222,230,227,227,226,222,223,225,225,228,231,192,156,131,108,110,110,116,139,139,161,180,187,137,170,179,153,80,148,244,225,228,226,223,225,226,225,229,226,183,139,121,100,110,130,144,172,192,203,224,223,207,184,158,114,74,79,228,231,228,229,225,227,228,226,228,233,202,162,131,115,128,139,147,218,206,208,219,212,202,180,146,102,74,64,210,237,228,229,226,229,230,230,227,237,220,176,138,119,124,138,171,225,205,214,214,213,195,173,147,104,69,88,235,231,230,230,227,229,231,231,229,230,228,192,159,125,124,148,172,225,215,226,228,213,194,174,140,101,56,152,248,230,234,233,228,229,231,231,231,230,235,212,172,134,137,164,162,221,227,235,235,223,204,167,123,94,62,214,244,236,235,233,229,230,231,232,232,229,233,225,183,146,151,179,168,215,231,240,242,243,205,153,114,74,102,247,237,238,235,234,229,231,232,233,234,229,225,233,199,150,159,177,180,217,230,246,248,237,188,142,114,55,166,252,236,238,237,237,231,232,234,234,236,226,214,222,209,162,161,174,181,224,230,243,240,205,161,130,101,65,223,244,238,238,238,237,231,233,235,234,238,228,206,223,218,184,163,167,181,216,230,223,212,177,144,119,71,113,253,238,239,238,238,238,230,232,235,236,238,238,209,214,219,201,179,174,183,203,220,208,182,159,125,96,66,206,251,240,242,241,240,240,229,231,232,232,234,240,224,198,207,203,188,181,178,178,188,180,155,127,97,59,145,255,238,240,243,242,240,239,230,231,232,233,233,238,233,199,205,199,187,182,169,159,168,166,140,103,70,71,234,242,240,240,241,240,238,237,232,232,234,234,234,238,234,203,204,189,178,175,160,143,150,152,117,83,55,123,255,237,241,242,241,240,240,239,232,234,236,236,236,237,236,207,199,163,154,165,153,148,147,133,99,81,50,170,253,239,244,242,240,241,241,239,233,234,237,238,237,238,238,209,209,174,171,185,174,163,147,127,104,85,53,200,247,241,243,242,242,242,242,239
13,226,228,230,231,231,233,234,234,233,233,233,233,234,233,232,230,230,229,227,227,225,223,222,221,220,220,219,217,229,230,231,233,234,236,237,238,237,236,235,235,235,234,234,231,230,229,229,229,227,226,224,222,221,220,220,219,231,232,234,234,237,239,238,240,240,238,237,236,237,235,236,234,232,231,232,232,230,229,227,225,224,223,222,221,233,236,237,238,239,240,239,240,239,239,240,238,237,238,239,237,236,240,236,232,231,229,229,229,228,227,224,223,234,237,238,239,241,241,241,241,241,239,241,240,241,240,238,237,216,202,234,235,232,241,232,229,230,230,228,225,236,240,242,242,243,242,245,244,244,248,245,245,238,239,245,235,181,109,132,230,188,177,230,235,230,232,231,227,239,240,243,242,246,248,245,251,233,203,244,251,204,171,233,219,173,116,79,169,164,96,138,241,232,232,231,229,240,242,246,248,247,247,254,255,235,148,167,242,200,137,206,230,166,131,78,150,157,123,84,202,243,231,232,231,242,245,249,249,250,245,255,255,235,163,163,236,187,146,230,255,185,131,94,190,173,135,68,189,248,233,234,232,245,248,249,250,250,250,255,255,240,164,179,242,181,138,255,255,178,117,143,236,168,114,73,207,246,236,235,234,246,249,251,251,248,255,255,255,244,155,171,237,189,119,192,232,138,104,120,159,115,78,86,231,243,239,238,238,248,251,254,250,255,255,255,222,186,118,166,229,177,123,58,99,139,130,115,114,121,82,126,253,240,241,241,240,250,252,254,249,255,255,238,178,133,93,157,183,150,92,31,51,112,109,139,170,171,126,146,255,241,244,243,241,252,254,254,255,255,255,255,213,165,87,130,147,116,115,153,205,210,198,202,183,195,168,116,237,250,246,245,243,252,255,254,255,255,255,255,255,218,140,136,191,215,255,255,254,242,228,216,166,152,147,102,195,255,247,248,245,255,255,254,255,255,255,255,255,222,203,210,254,255,255,252,242,232,213,196,169,139,143,109,161,255,248,249,247,255,255,254,255,255,255,255,255,231,230,245,255,255,255,249,242,230,208,183,169,148,138,107,135,255,249,250,248,255,255,255,255,255,255,255,255,236,232,245,255,255,255,250,241,217,190,175,158,133,127,82,171,255,250,249,249,255,255,255,255,255,255,255,247,224,221,238,250,255,251,244,225,197,179,161,137,120,78,131,255,252,253,252,251,255,255,255,255,255,255,249,221,210,230,239,242,233,236,229,207,189,164,137,117,77,89,247,255,255,254,253,252,255,235,172,255,255,255,241,230,222,237,245,233,218,209,201,177,152,128,103,68,98,234,255,255,255,255,255,252,255,162,65,133,255,255,255,255,235,221,239,221,188,169,173,148,121,86,93,168,254,255,255,255,255,255,255,254,199,106,117,89,152,255,255,255,233,205,218,197,159,146,144,110,71,133,249,255,255,255,255,255,255,255,255,255,128,102,104,106,86,127,200,198,192,188,208,174,141,129,104,71,182,255,255,255,255,255,255,255,255,255,255,255,116,103,96,98,108,45,57,81,80,85,105,106,101,92,63,192,255,255,255,255,255,255,255,255,255,255,255,255,106,96,95,91,105,77,26,67,66,55,48,46,47,51,48,215,255,255,255,255,255,255,255,255,255,255,255,255,100,97,90,86,99,88,17,49,61,51,51,47,44,38,11,68,255,255,255,255,255,255,255,255,255,255,255,255,99,93,91,77,92,81,14,37,52,47,48,42,44,34,7,189,255,255,255,255,255,255,255,255,255,255,255,255
16,91,100,106,110,114,119,124,129,132,135,137,141,144,146,149,151,153,154,154,156,157,157,157,158,159,159,160,160,94,103,109,112,116,122,127,132,135,137,140,144,147,150,152,155,156,156,160,161,161,161,161,162,162,161,162,162,96,106,111,114,119,125,130,135,138,140,144,147,150,153,155,158,160,158,154,152,155,162,166,165,164,165,166,165,98,108,112,116,122,127,132,137,140,143,145,148,151,155,158,155,145,137,126,112,106,107,124,158,169,167,168,169,100,111,114,118,123,129,135,140,143,147,150,152,153,150,141,131,127,130,120,104,96,87,72,86,147,171,170,170,103,111,115,120,125,131,137,143,144,146,146,140,134,128,125,127,121,115,109,89,88,90,71,60,80,163,175,173,103,113,117,120,127,134,139,141,154,148,133,113,120,121,129,117,108,111,94,76,76,77,67,66,58,129,180,174,106,115,119,123,130,136,140,153,173,158,160,114,129,144,131,102,110,98,83,72,70,68,64,66,59,110,180,175,108,116,120,125,132,138,143,159,153,157,157,124,156,158,100,97,96,75,74,67,63,63,66,68,59,126,182,178,111,119,122,127,134,139,146,142,147,165,142,136,173,151,101,93,77,66,65,64,63,60,64,67,65,152,183,180,113,121,124,128,135,140,147,145,154,170,153,149,169,135,122,106,81,63,60,62,63,63,64,61,90,174,182,183,113,122,126,129,136,143,148,152,153,167,162,150,164,146,128,101,78,63,58,60,64,65,65,58,120,185,185,185,115,124,126,131,138,146,150,155,150,167,163,159,161,141,109,80,67,56,59,63,66,66,64,62,150,188,184,186,118,124,126,133,140,147,152,157,155,165,168,165,146,118,83,63,46,42,62,70,66,66,63,71,172,188,185,187,119,126,128,134,141,148,153,158,159,165,169,155,123,90,63,28,14,48,66,73,68,66,58,85,186,188,188,189,122,128,130,136,144,150,155,159,162,159,156,130,98,77,27,0,10,49,69,80,77,70,52,101,193,187,188,188,123,128,132,138,146,150,155,160,164,152,136,106,85,57,7,6,10,37,65,82,85,70,49,119,198,188,190,190,123,130,133,139,147,151,157,161,166,154,119,89,72,42,19,11,24,24,56,89,86,67,53,130,199,189,191,192,126,130,134,140,148,153,159,162,168,151,102,65,54,55,52,37,35,42,68,95,77,68,55,138,200,191,193,193,128,131,134,142,149,154,160,163,167,145,84,81,66,46,54,50,50,83,85,99,73,69,56,151,202,193,194,195,129,132,135,143,151,156,159,167,161,122,66,169,174,114,87,67,98,100,95,96,68,67,56,157,202,192,194,195,128,131,136,143,149,156,158,156,142,77,112,187,179,178,158,128,105,101,113,95,63,65,52,149,204,193,197,198,128,131,136,143,151,155,154,147,104,72,173,179,178,168,151,126,99,116,124,98,63,62,51,127,210,200,194,191,128,132,137,144,150,161,166,129,63,142,184,178,177,169,147,127,101,125,130,101,64,60,60,70,105,88,115,152,129,132,138,142,158,186,140,69,113,177,174,179,175,166,143,126,101,122,137,107,58,62,64,50,34,35,91,111,130,132,137,140,176,141,83,123,176,172,176,177,173,164,146,127,101,105,138,120,61,62,62,55,34,65,62,54,129,133,138,145,155,126,149,173,169,173,176,179,171,162,144,126,102,89,127,132,74,60,60,48,8,44,59,50,129,133,139,147,153,163,166,165,170,173,176,179,168,160,146,121,98,89,95,123,91,61,61,37,4,31,59,44
6,116,119,122,125,128,131,133,136,138,139,141,141,143,145,146,147,147,147,147,147,148,149,149,147,147,147,146,145,116,120,124,127,129,131,134,137,139,140,142,142,144,145,146,147,147,147,148,149,149,148,149,148,148,148,147,146,116,119,123,126,130,132,134,137,139,140,143,143,144,145,147,148,148,148,149,149,149,149,149,149,149,149,147,147,118,120,124,127,131,134,137,138,140,140,143,145,146,147,147,149,148,149,150,150,150,151,151,150,149,148,149,149,118,122,126,129,132,134,137,139,140,141,143,146,147,149,148,148,151,152,153,152,152,151,151,151,151,150,150,150,118,122,126,130,133,135,137,140,142,141,143,146,148,149,148,149,152,151,153,153,152,153,154,154,154,151,150,150,120,123,127,130,132,134,138,140,142,141,143,142,144,147,143,145,145,150,149,144,143,133,131,141,149,152,152,151,120,124,128,128,135,147,151,140,142,148,152,155,158,162,149,152,152,167,163,151,146,129,116,135,138,122,154,151,119,120,123,142,162,168,160,139,124,132,154,160,162,159,148,143,154,150,146,145,136,124,115,123,117,109,156,151,115,129,153,170,167,164,158,146,108,83,104,110,114,116,116,114,108,103,108,107,105,105,111,118,123,147,154,152,147,170,169,159,160,166,170,149,107,69,59,54,55,77,88,99,120,139,144,146,149,151,154,154,156,154,153,153,172,165,159,163,168,167,149,111,94,75,67,68,59,68,131,160,157,155,155,156,156,156,154,153,153,152,153,153,168,164,165,163,163,153,138,115,87,71,65,75,79,68,74,101,155,157,155,156,155,155,156,155,155,154,153,153,168,168,165,163,164,164,170,144,88,73,58,59,77,81,79,52,82,157,156,155,156,156,155,155,155,155,154,154,163,165,163,161,164,173,168,127,88,76,78,74,67,68,79,77,46,94,163,155,157,156,155,155,155,155,153,152,161,162,159,157,166,174,143,108,90,84,81,83,81,58,55,61,64,66,158,157,157,156,156,155,155,156,154,154,153,154,151,152,159,160,138,107,81,72,80,90,98,77,65,55,51,95,156,153,154,152,151,152,151,151,151,151,155,155,153,151,156,158,148,112,78,56,54,67,102,98,81,66,58,81,91,88,86,86,85,85,84,83,81,81,157,158,160,158,164,163,147,101,77,80,76,72,63,74,82,75,73,62,58,59,60,61,60,57,56,56,55,54,156,155,152,151,162,154,133,98,84,87,86,81,74,66,61,68,70,67,67,68,68,68,67,65,65,65,64,62,147,140,134,141,147,136,121,102,92,91,90,80,71,66,67,72,73,72,69,66,66,65,66,66,65,64,63,61,133,128,123,133,132,117,103,93,83,78,84,82,80,76,73,73,72,73,68,69,67,66,66,66,66,65,65,64,118,116,108,104,100,88,77,71,68,60,63,69,74,75,71,69,70,69,68,67,66,66,65,66,65,64,64,65,96,88,77,72,72,72,74,73,72,73,71,70,72,72,71,71,70,70,69,69,66,66,66,66,65,64,65,59,65,69,71,71,73,74,74,74,73,73,74,73,73,72,71,71,69,69,69,69,66,66,67,65,65,65,57,78,69,73,74,73,73,73,73,73,73,73,72,71,71,71,71,69,68,68,68,67,66,66,66,66,68,57,67,155,73,74,74,75,75,73,73,73,73,73,72,72,72,71,71,69,69,68,68,68,67,67,67,69,67,56,141,159,73,73,74,73,73,72,72,71,72,71,71,72,72,71,71,70,69,67,68,68,67,67,66,73,59,115,168,133
20,184,187,190,191,193,195,195,196,198,197,197,198,196,196,195,194,193,193,191,193,190,188,187,185,184,182,182,182,185,188,191,192,194,197,197,198,200,200,199,200,199,198,198,196,195,193,192,179,189,189,188,187,186,185,185,184,186,189,192,194,195,198,198,200,201,201,202,201,199,198,200,199,195,194,206,135,145,204,189,189,188,187,186,186,188,190,193,195,196,199,201,201,202,203,203,201,201,201,201,200,197,199,207,127,128,178,187,192,189,189,187,187,189,191,193,196,197,200,201,202,204,204,203,202,202,202,201,200,198,207,194,123,97,125,142,200,190,189,187,188,189,193,195,198,198,201,203,203,205,206,205,204,204,203,202,204,198,216,190,110,119,150,124,199,191,192,189,189,191,194,196,199,200,202,204,205,208,208,207,206,205,204,204,204,201,218,184,110,162,155,121,199,193,192,191,190,192,195,198,201,202,203,206,207,209,209,208,208,207,207,206,204,204,217,170,113,187,159,126,199,195,195,194,192,193,196,200,202,203,205,207,208,210,211,210,211,211,209,211,210,209,212,153,127,198,151,135,203,196,196,195,193,195,197,201,202,205,206,207,209,211,211,211,212,212,206,166,178,226,211,144,151,203,137,139,208,197,197,196,194,197,199,201,204,205,208,209,211,212,213,212,210,208,211,164,115,193,204,132,172,212,132,147,210,199,200,197,196,196,200,202,205,206,209,212,212,213,214,211,218,215,210,204,163,134,130,102,171,197,123,161,211,201,201,200,199,197,200,205,208,209,210,212,213,215,216,214,228,226,216,230,210,154,99,73,140,163,117,175,210,204,201,201,201,200,203,206,210,210,212,214,216,217,214,222,210,165,200,201,205,157,108,93,112,122,107,188,209,204,202,201,200,201,204,207,209,212,212,214,217,217,214,231,200,134,182,178,199,183,130,98,94,103,103,198,209,204,203,203,201,202,204,208,209,212,214,217,218,217,217,234,212,169,142,115,175,204,147,105,91,92,110,206,209,206,204,204,204,203,205,208,209,212,215,218,219,218,220,221,176,147,125,81,124,219,165,123,99,87,122,214,207,207,206,205,204,204,206,208,210,212,215,218,220,218,228,219,174,163,140,108,184,222,174,149,111,87,137,219,208,209,209,205,203,203,206,209,211,214,215,219,221,218,234,213,188,162,134,187,244,205,169,160,118,92,145,221,208,209,209,206,205,204,207,209,211,214,217,219,220,222,241,224,183,148,169,249,216,183,157,149,120,100,163,220,209,210,209,207,205,205,208,210,212,216,219,222,221,228,254,217,166,160,209,251,205,176,141,130,120,107,189,218,211,212,210,208,206,205,209,211,214,217,218,221,221,232,250,187,187,163,226,240,203,174,143,115,113,118,208,216,214,211,212,209,207,202,206,210,213,216,217,220,218,234,234,208,204,160,238,227,190,161,140,117,108,139,218,213,213,211,211,209,207,203,205,209,212,215,218,219,219,226,234,237,189,185,239,204,172,148,127,118,106,171,221,213,212,211,210,208,206,204,206,210,213,216,217,219,219,223,234,227,189,174,212,191,156,134,119,113,115,201,219,215,212,212,211,209,207,203,207,211,213,216,217,220,219,224,225,200,182,168,187,182,153,137,121,102,140,219,216,216,213,212,211,209,208,202,207,211,212,216,218,220,220,223,211,193,184,185,184,192,174,134,117,99,170,224,215,215,213,212,211,210,208,202,206,210,213,216,218,220,221,222,223,215,214,205,188,184,172,127,109,104,194,222,213,213,213,212,210,210,208
5,142,142,143,143,144,145,146,146,147,149,149,151,151,151,151,152,151,150,150,150,150,149,149,150,148,147,146,145,145,145,147,148,148,149,150,150,150,150,152,152,153,154,157,132,150,153,152,152,151,150,150,150,150,149,148,114,149,150,151,152,152,152,154,154,154,154,155,157,157,160,167,92,140,156,155,155,153,151,152,152,152,152,122,53,152,154,155,156,156,157,158,158,158,158,159,152,156,179,150,90,149,159,158,158,160,123,145,154,154,138,64,36,158,159,159,160,161,161,161,162,163,162,176,127,138,185,118,118,164,162,158,155,137,94,143,158,157,105,38,42,162,163,163,165,165,166,165,165,165,164,187,132,138,169,100,150,166,164,149,137,100,114,159,161,152,76,45,60,166,167,167,168,169,170,169,169,169,168,190,138,137,143,105,168,167,150,136,105,105,158,166,165,150,69,56,60,170,171,171,171,173,173,173,173,173,173,186,135,125,114,127,169,144,128,113,99,156,169,169,168,162,92,62,60,173,174,174,175,176,176,176,177,176,177,196,145,106,94,151,136,107,101,93,146,175,172,172,171,167,109,61,54,176,177,178,178,179,179,179,179,179,181,200,155,104,99,140,104,89,81,139,178,177,175,173,173,172,130,56,38,179,179,180,181,181,182,181,181,182,183,193,150,102,96,104,96,83,118,182,181,180,178,176,176,176,152,61,40,181,182,183,184,184,184,184,184,185,185,188,160,103,84,83,93,86,153,177,174,183,182,179,179,180,167,119,114,183,184,186,186,186,186,186,186,187,187,190,177,120,81,74,83,96,157,127,126,158,182,184,182,181,178,123,154,185,186,188,188,189,188,188,189,189,190,190,188,139,90,77,78,89,104,109,131,140,153,173,183,184,179,129,183,188,189,190,190,191,190,191,192,192,193,195,201,167,113,81,79,80,90,95,118,148,152,152,160,164,159,160,147,191,191,192,192,194,194,194,194,194,194,198,209,186,133,87,77,84,79,79,109,130,134,146,151,138,128,142,120,192,193,193,194,195,195,195,196,196,197,198,215,197,142,93,73,81,77,121,179,177,163,144,143,162,149,117,124,194,195,195,196,197,196,197,198,199,199,200,219,201,148,100,70,70,101,192,198,197,184,159,167,154,123,152,177,195,196,197,198,199,198,199,199,200,199,200,221,201,152,105,70,55,105,173,200,187,154,157,145,109,147,193,191,197,198,199,200,201,201,200,200,201,200,202,223,199,150,105,68,59,82,97,158,143,146,147,109,116,189,196,194,199,200,200,201,201,202,202,201,202,200,208,223,194,149,106,67,64,85,91,101,118,137,118,124,183,198,198,196,199,200,201,202,202,203,203,203,204,197,209,221,191,148,106,72,69,89,97,108,113,113,120,187,200,199,198,197,200,201,203,203,204,205,204,205,205,198,211,217,186,146,105,75,74,97,105,108,99,107,180,203,201,201,199,198,201,203,204,205,206,206,206,206,204,198,215,211,182,142,102,75,74,98,107,103,95,165,206,202,203,202,201,201,202,204,205,206,206,206,207,209,199,205,223,207,176,135,100,77,74,99,107,93,123,204,207,205,206,204,203,201,204,206,206,207,207,207,208,208,196,221,223,201,171,134,98,80,81,103,100,89,171,209,208,208,207,206,204,202,206,207,207,207,209,209,210,200,205,226,214,196,172,131,94,81,86,100,91,131,207,209,209,208,207,207,205,204,206,207,207,208,209,210,208,195,214,215,208,191,158,114,88,79,87,93,112,194,212,211,210,209,208,206,205,204
7,154,158,163,168,172,174,177,179,181,183,185,185,185,185,185,185,185,185,184,184,183,182,182,180,179,178,177,176,156,160,165,169,173,175,178,181,182,184,186,187,188,188,187,187,187,186,185,185,184,184,183,182,181,179,179,178,157,161,167,171,175,177,180,183,184,185,187,188,189,189,189,189,189,188,187,187,186,185,184,183,182,181,180,180,159,164,168,173,176,179,182,185,186,187,189,190,191,191,191,191,191,190,189,188,188,187,185,185,184,183,182,181,161,165,169,174,178,181,183,186,188,190,191,192,193,193,193,192,192,192,190,186,186,188,184,186,186,185,184,183,162,166,171,175,179,182,185,187,188,191,192,194,194,194,192,190,187,182,177,168,179,190,172,182,188,186,185,184,164,168,173,177,181,184,186,189,190,191,191,189,184,176,174,176,173,163,158,151,162,172,155,178,188,182,186,186,166,169,175,179,183,185,186,185,184,184,180,172,160,147,149,158,157,145,139,132,133,143,152,185,189,161,180,188,167,171,177,181,185,186,181,169,164,163,160,157,149,138,130,130,128,131,142,142,140,145,154,171,168,148,179,189,168,172,178,183,188,188,176,162,157,150,144,147,147,136,125,122,131,151,164,156,144,137,131,132,145,165,187,190,169,173,179,185,190,184,172,164,152,133,133,146,153,142,134,128,129,141,144,133,122,120,132,152,174,189,193,192,170,175,183,186,183,178,173,166,141,114,118,128,129,121,117,114,108,114,118,124,140,162,182,192,195,195,194,193,174,181,186,185,181,176,170,166,146,117,104,94,85,85,93,101,111,133,157,177,191,197,199,199,198,196,195,194,185,188,187,185,180,171,165,163,157,133,100,76,65,95,138,158,174,190,200,202,202,201,201,201,200,198,198,197,191,188,183,178,172,165,163,162,156,134,102,78,73,98,152,192,204,206,206,205,204,203,202,201,201,200,199,199,191,184,175,168,162,157,152,148,140,122,97,76,74,79,92,151,202,208,208,206,206,205,204,202,202,201,200,200,184,176,166,159,152,147,142,138,133,121,95,71,70,80,77,112,193,209,209,208,207,207,206,205,203,202,201,201,166,168,160,154,147,143,140,138,137,128,99,70,64,73,74,104,188,210,210,209,208,208,207,206,205,203,201,200,107,136,150,152,147,143,139,136,134,122,95,74,67,60,60,83,163,209,210,210,209,208,208,207,206,204,203,201,51,73,115,145,150,144,136,128,119,104,88,80,75,65,62,80,155,210,212,211,211,209,209,208,207,206,204,203,40,39,59,108,142,140,130,119,108,93,82,79,78,76,99,136,188,213,214,213,213,211,210,209,208,207,206,205,36,33,34,55,102,118,110,101,91,74,63,69,79,106,173,203,213,215,215,214,213,212,211,210,209,208,207,206,32,30,28,30,50,72,82,97,86,59,57,75,111,169,210,216,216,216,216,215,214,213,212,211,209,208,207,206,26,25,24,25,24,29,74,149,141,100,109,141,183,211,218,217,217,217,216,215,215,214,213,211,210,209,208,207,22,20,22,25,25,54,142,199,201,190,195,207,216,218,219,218,218,218,217,217,216,215,215,213,212,211,209,208,39,26,21,27,47,133,196,209,213,215,216,217,219,219,220,219,218,219,218,217,217,216,215,214,213,211,209,209,38,37,27,27,79,181,206,209,212,214,216,217,219,219,219,219,219,218,218,217,216,215,215,214,212,211,209,209,20,30,26,26,96,193,207,209,211,213,215,217,217,217,217,219,219,218,217,217,216,215,214,213,211,210,209,209
3,117,126,133,137,140,144,149,152,154,157,157,159,160,161,162,162,162,163,162,162,162,162,161,161,160,159,158,157,122,130,136,140,145,149,153,157,159,161,163,164,165,166,167,168,144,155,167,166,167,166,166,165,164,163,161,161,126,134,140,144,149,154,157,161,164,166,168,169,170,170,172,171,120,121,173,172,172,172,171,170,169,167,166,165,130,138,145,149,153,158,162,166,169,171,172,173,175,176,177,172,115,92,168,176,176,176,175,175,173,171,170,169,134,142,149,152,157,162,166,170,173,175,177,178,179,180,181,178,117,80,158,181,180,179,179,178,177,175,174,173,137,145,152,156,160,165,170,174,176,179,180,181,183,184,185,185,125,78,146,186,183,183,182,181,180,178,178,177,140,148,155,159,163,168,173,178,180,182,183,185,187,187,187,195,141,81,131,190,188,187,187,185,183,182,181,180,143,151,157,162,166,171,176,180,183,185,187,188,189,191,180,175,129,75,119,192,191,191,190,189,187,186,185,184,146,154,161,165,169,174,179,183,185,188,190,191,192,210,189,141,97,84,113,192,194,193,193,192,191,190,188,187,149,157,163,167,172,178,182,186,187,191,194,184,165,196,208,159,97,129,122,184,198,196,196,196,195,194,191,190,151,158,164,169,175,180,184,188,191,191,201,196,167,160,212,174,139,166,103,155,201,200,199,198,197,196,194,193,154,161,167,171,178,182,186,190,193,177,174,203,193,156,188,171,148,154,89,106,195,202,201,200,200,198,197,196,155,163,169,174,179,183,188,192,201,193,171,163,194,163,163,165,130,152,112,87,151,205,202,202,201,201,200,199,157,165,171,175,181,185,191,195,195,200,188,142,150,168,138,164,130,138,137,103,112,202,204,204,203,202,201,201,159,166,172,177,182,187,193,196,186,154,163,119,100,144,110,159,154,110,136,111,107,201,207,206,205,204,204,202,160,167,173,178,183,189,194,198,193,147,141,115,84,125,107,103,98,72,123,115,104,199,209,208,207,206,205,204,161,167,174,180,185,190,195,199,203,171,128,112,92,110,138,91,54,83,143,122,94,187,211,209,208,207,207,206,161,167,173,179,185,190,195,199,200,167,121,98,82,74,112,101,90,124,158,123,90,175,214,210,209,209,208,207,161,167,173,179,185,190,195,198,201,187,145,106,84,75,94,144,158,162,145,110,94,184,213,210,210,209,209,208,162,169,175,180,186,191,195,199,205,196,157,116,104,109,126,193,203,176,139,98,106,201,212,210,210,208,205,204,163,170,176,182,187,191,196,200,204,199,170,135,120,116,140,200,199,165,130,94,125,211,214,211,210,191,176,198,154,161,168,174,181,186,192,197,200,197,175,145,124,120,137,193,191,154,118,90,143,205,196,195,191,158,157,195,104,106,110,114,120,124,127,133,140,178,177,150,136,133,129,182,181,144,107,88,141,183,169,157,176,129,159,187,96,98,100,101,101,102,103,103,102,142,178,159,144,139,121,160,165,130,97,97,159,160,168,147,151,119,170,179,97,99,100,101,103,104,107,108,105,127,182,164,143,133,110,128,139,106,91,129,165,153,157,153,123,125,177,175,98,99,100,101,103,103,104,105,105,157,201,166,139,122,101,107,108,92,102,148,161,152,149,146,116,146,173,175,97,99,101,101,103,103,103,104,107,178,202,164,137,115,102,101,96,86,132,148,138,149,143,136,134,154,172,174,96,98,101,100,100,102,103,103,113,181,192,162,139,123,109,97,89,87,156,151,112,141,143,137,150,151,178,172
18,100,101,104,107,109,113,115,116,118,119,122,124,123,123,124,125,124,124,125,126,127,128,130,129,130,130,129,129,102,104,107,109,112,116,118,118,123,123,125,126,126,126,127,128,126,127,128,130,132,131,133,132,133,133,133,133,104,107,110,112,116,117,120,124,126,127,128,129,130,130,131,131,131,132,132,133,133,133,134,134,135,136,135,134,107,110,113,116,118,120,124,125,127,130,131,132,133,133,133,133,133,133,134,134,134,136,137,135,136,138,138,138,110,111,115,118,121,123,126,128,131,132,133,134,135,136,138,136,135,137,140,143,140,138,143,141,143,141,140,141,111,113,116,121,123,124,127,131,134,134,135,136,138,139,139,140,140,141,122,116,137,144,115,88,111,144,144,144,115,116,120,123,125,127,130,133,134,136,137,139,141,140,141,140,141,144,104,90,123,149,104,40,51,99,156,142,117,118,122,125,127,129,133,136,137,139,140,141,143,144,141,145,143,130,125,125,146,131,130,73,31,37,145,149,119,122,125,128,131,133,136,140,141,142,143,144,144,145,148,117,121,110,125,129,122,96,153,98,40,1,113,163,121,124,127,130,133,136,139,142,143,144,145,145,139,166,161,96,66,82,104,98,51,104,176,111,62,3,94,166,123,125,129,132,134,137,140,143,145,146,144,157,94,103,148,101,68,55,100,49,11,155,172,123,82,10,91,167,124,127,131,133,136,141,142,145,147,142,164,178,88,40,141,125,102,59,151,77,17,168,179,147,103,20,99,171,125,128,132,135,138,143,146,148,146,160,162,169,115,59,111,149,109,53,114,115,53,137,188,161,105,36,51,171,127,130,135,137,141,144,147,147,155,166,114,166,144,88,71,146,110,71,19,87,157,167,158,131,95,58,12,138,128,132,136,139,141,145,149,146,168,174,115,153,155,105,52,115,123,74,100,155,162,166,129,112,93,74,13,113,131,133,138,141,144,148,150,156,168,144,96,115,131,87,30,73,91,112,180,163,145,139,115,99,93,63,21,141,132,136,140,142,146,149,150,155,178,148,97,92,77,43,10,2,86,182,174,157,135,121,109,79,72,28,58,174,134,139,142,144,148,151,153,153,177,154,123,95,31,24,0,12,174,175,161,147,133,120,85,60,43,9,125,174,138,140,143,146,149,153,154,156,179,162,143,104,56,93,44,128,187,171,162,142,128,107,65,43,22,39,172,166,137,140,145,147,150,154,154,162,179,176,134,95,131,118,106,191,174,173,153,131,116,84,49,36,12,85,180,167,140,142,147,149,151,155,154,170,177,179,122,118,145,99,153,197,183,163,142,125,103,62,34,30,17,147,175,168,141,145,147,150,155,157,154,169,183,175,127,129,141,89,183,186,185,153,127,106,78,43,30,10,78,179,168,171,142,146,148,152,155,158,160,157,172,177,136,144,128,101,195,187,168,139,117,90,54,31,24,21,159,176,171,173,144,147,150,153,156,159,164,158,160,166,146,153,125,140,172,173,147,119,102,75,44,35,6,86,186,170,173,173,144,148,152,155,156,159,164,162,151,162,149,161,141,137,146,151,133,113,88,63,43,24,27,165,176,175,174,174,146,150,154,156,158,161,163,164,150,168,161,151,135,113,132,147,135,102,74,54,38,8,109,185,174,176,176,177,146,151,153,157,160,162,165,167,148,156,134,122,115,103,131,138,129,95,58,44,17,40,173,175,177,178,178,179,147,150,153,157,161,163,166,168,157,143,114,122,118,138,143,139,120,89,57,41,7,97,186,175,178,179,179,180
18,173,175,177,177,179,180,182,183,183,184,185,187,188,188,189,191,191,191,192,193,193,193,194,192,192,192,192,192,174,175,178,179,180,181,183,184,185,186,187,188,188,189,190,192,193,192,191,193,194,194,195,195,194,194,193,193,175,176,178,180,182,182,183,185,185,186,187,188,188,189,190,194,196,192,192,193,192,193,196,196,196,194,193,193,175,176,180,181,182,183,183,185,187,187,188,188,190,190,192,181,177,197,192,195,195,194,196,196,195,196,195,195,175,177,182,181,181,183,184,185,187,189,189,191,194,191,201,179,136,167,199,194,195,198,195,194,195,196,197,197,175,177,181,181,182,182,185,186,186,189,191,184,171,189,195,190,140,102,177,198,178,168,191,198,196,197,195,196,175,176,180,181,182,183,186,188,188,191,203,186,150,152,199,175,154,114,126,162,155,140,143,204,196,197,196,196,176,177,180,182,182,183,185,184,179,204,205,186,156,136,213,190,178,147,115,120,142,138,106,186,200,197,197,196,177,178,181,183,183,182,197,188,147,185,207,180,153,152,212,211,195,155,119,106,128,129,98,160,207,197,198,197,178,179,181,184,181,195,215,188,144,171,208,180,144,168,203,205,192,156,116,96,111,121,94,161,207,197,198,198,179,180,181,183,181,202,217,189,145,161,208,183,135,181,203,204,189,153,115,87,100,109,94,177,205,197,199,199,179,181,182,183,184,194,208,191,148,151,207,181,124,151,190,211,185,147,111,88,93,96,106,192,202,198,200,199,179,181,183,180,190,205,191,189,157,135,189,170,123,89,163,217,178,143,105,90,88,88,129,207,198,200,200,201,179,181,183,185,196,188,170,163,150,106,143,143,112,54,178,219,176,136,102,91,92,91,143,209,197,200,201,202,180,181,180,194,207,176,164,139,122,96,118,131,85,97,218,205,172,138,106,85,92,90,156,210,199,202,202,202,181,183,181,195,214,187,167,145,141,97,118,132,147,205,218,197,167,139,108,94,97,99,188,205,201,202,203,202,181,184,178,206,212,185,167,149,142,125,130,178,229,206,193,189,162,130,105,98,87,120,209,199,202,202,202,201,183,182,182,218,205,185,168,152,150,151,169,229,224,199,176,175,153,120,102,101,96,176,206,200,200,201,200,199,183,180,191,222,200,185,177,160,158,153,211,231,217,192,163,163,144,109,105,96,161,208,200,202,201,201,201,199,183,180,198,222,199,192,185,161,163,192,229,223,206,185,157,150,134,107,95,137,209,200,202,202,202,202,201,201,184,180,200,223,202,197,189,163,181,217,219,214,200,172,150,141,124,100,106,196,203,202,202,202,202,203,202,202,184,182,195,219,205,200,188,171,192,216,209,197,195,162,144,132,115,91,158,209,201,202,202,203,203,203,203,202,184,182,193,219,207,198,186,183,192,213,197,191,175,159,133,124,105,111,203,201,203,203,203,204,204,203,201,203,185,181,197,216,200,191,183,187,190,203,186,188,161,153,125,117,91,151,212,201,203,204,203,204,205,203,202,201,184,180,203,203,188,186,180,186,194,193,175,186,171,139,121,110,95,187,205,202,203,203,203,204,204,204,203,202,184,181,204,186,180,183,181,183,194,186,175,186,170,133,116,96,131,211,199,203,204,203,203,204,204,203,202,203,183,181,213,198,189,190,192,191,198,180,172,176,155,127,108,104,192,205,203,204,204,204,204,204,205,203,203,204,182,184,221,207,190,194,199,195,201,166,165,164,140,120,96,164,210,202,203,204,204,205,205,205,205,204,204,204
12,193,194,195,195,195,195,195,195,196,197,196,196,196,196,196,196,196,196,196,196,196,196,195,195,194,193,193,192,196,196,196,197,196,196,197,197,198,198,198,198,198,198,198,197,197,197,198,198,197,198,197,196,196,195,195,193,197,197,197,198,198,199,200,198,199,199,200,201,201,199,200,199,198,199,200,200,199,199,198,198,197,196,196,195,199,199,200,200,199,201,201,200,201,201,204,202,200,202,203,201,199,200,200,201,200,199,199,199,198,197,197,196,200,201,201,202,201,201,202,202,201,200,196,201,207,194,197,205,201,203,201,202,201,202,202,201,200,200,199,198,202,202,203,203,203,203,204,202,212,216,187,163,211,200,165,183,209,204,207,203,203,203,203,202,202,201,201,200,204,204,204,204,205,204,206,202,233,235,210,152,177,229,181,152,205,189,189,207,205,204,206,204,204,203,202,202,204,204,205,207,206,206,206,206,232,239,221,173,147,224,203,165,147,179,148,175,213,205,207,205,205,205,204,203,205,207,208,208,207,208,207,211,231,224,229,195,144,191,211,174,126,146,151,127,207,209,207,206,207,206,205,205,207,207,209,208,209,207,212,202,217,206,219,212,175,140,181,158,113,104,135,121,200,211,209,209,208,208,207,206,207,208,210,210,205,218,234,178,159,176,188,188,149,116,133,136,117,175,142,123,208,210,210,210,208,208,209,208,208,210,211,208,225,242,217,169,143,161,144,167,162,141,169,194,193,184,129,132,215,211,212,212,210,209,209,209,209,211,209,217,237,219,212,182,152,121,124,127,162,173,187,221,231,205,145,150,224,211,213,213,212,212,211,210,209,212,209,232,219,200,218,196,158,121,124,126,117,124,154,219,232,233,197,152,188,220,213,213,212,212,212,211,210,209,216,231,213,185,216,198,179,134,119,132,137,142,186,213,216,207,194,180,140,205,217,213,214,213,213,213,211,209,224,238,215,182,171,216,207,152,119,135,152,197,224,213,212,183,173,187,138,188,222,214,215,214,214,213,213,212,219,242,229,206,165,177,198,202,145,136,215,227,214,210,202,179,156,154,132,207,218,215,215,214,214,214,213,211,218,243,237,214,187,177,167,174,164,209,241,224,213,205,189,171,147,123,151,224,216,217,216,215,215,214,214,212,218,237,238,226,201,195,182,154,199,238,232,229,201,189,173,166,138,115,188,224,217,218,216,216,216,215,214,214,215,232,236,235,218,203,191,181,188,232,228,219,191,170,166,161,127,134,220,219,218,218,217,217,217,216,212,214,208,223,241,238,223,208,194,191,185,226,220,201,181,155,170,154,114,171,228,218,218,218,218,218,218,218,211,214,210,206,238,229,214,206,197,195,192,210,208,181,165,162,168,139,118,208,222,219,218,218,218,218,218,218,213,214,215,204,233,219,206,201,200,195,191,197,194,181,162,163,156,119,152,226,218,218,218,218,218,218,217,216,214,214,215,210,230,220,211,212,207,196,187,194,200,183,153,146,134,124,207,222,219,218,219,219,218,218,217,216,215,214,214,210,230,225,218,217,207,202,185,196,202,164,138,136,117,182,226,219,220,220,219,219,218,218,218,217,214,215,216,209,231,230,222,223,208,210,182,192,190,154,137,119,149,227,220,221,220,220,220,220,219,219,219,218,213,214,217,208,224,237,226,227,213,209,179,180,182,156,132,116,203,225,220,220,220,220,221,220,219,219,219,219,211,212,216,209,221,239,223,219,211,204,175,169,181,153,118,137,225,220,221,221,221,221,220,219,219,219,220,220
24,145,148,151,156,158,159,162,165,167,167,167,168,168,169,170,170,169,170,171,171,171,171,170,170,169,168,167,166,147,151,156,159,161,163,166,168,168,169,170,170,171,172,172,173,174,174,174,174,174,174,174,174,172,170,170,169,149,153,157,161,165,167,169,170,172,173,173,173,175,176,175,176,175,176,174,175,175,176,177,176,175,174,173,172,151,155,161,165,168,171,172,173,175,175,175,175,176,177,179,179,178,178,177,178,178,178,180,179,177,176,176,174,156,162,162,167,171,173,174,176,176,177,179,180,180,181,182,181,181,182,182,183,182,181,182,181,179,179,178,176,136,123,172,169,173,175,177,179,178,180,181,182,182,182,183,183,184,185,184,185,185,184,184,183,182,180,180,180,125,66,172,173,175,177,179,182,181,181,184,186,186,185,186,186,188,188,186,187,188,187,186,189,189,187,188,182,124,57,164,175,178,180,181,184,188,191,187,178,174,193,187,189,189,189,189,190,189,190,190,183,168,134,137,192,109,41,166,180,180,182,188,183,156,154,189,152,110,127,196,190,189,190,191,191,191,191,182,148,121,58,116,197,98,39,165,183,176,135,140,190,139,95,156,165,134,86,158,200,190,191,192,192,193,191,181,142,67,96,197,190,116,49,151,188,192,151,121,180,158,133,131,179,160,119,110,203,192,194,194,195,193,189,174,106,67,194,194,190,128,70,138,189,201,196,152,138,187,161,113,149,179,129,84,186,197,195,197,197,191,185,150,54,120,207,192,193,154,136,149,181,179,204,185,115,148,185,132,101,173,116,53,178,208,199,194,183,183,163,81,63,194,198,195,194,176,173,161,178,162,150,193,104,70,189,155,72,93,81,31,149,177,172,160,148,152,97,49,178,208,198,197,197,169,183,176,173,171,151,147,98,42,123,123,52,8,52,84,137,165,169,148,118,95,45,144,214,199,200,200,199,173,190,176,174,170,146,132,108,71,47,66,27,11,98,174,189,183,164,129,94,58,96,216,201,201,201,202,200,176,187,176,138,149,142,125,116,94,75,78,76,136,174,188,184,166,145,105,62,49,190,210,203,204,203,203,202,178,183,186,160,126,130,159,141,133,111,103,162,195,190,184,173,152,122,80,33,132,218,205,207,207,205,205,204,180,182,197,197,159,128,132,152,175,174,177,204,196,189,177,157,130,94,41,99,218,206,208,207,206,205,205,205,179,181,188,201,178,148,128,140,160,194,202,198,197,189,164,133,99,56,59,202,212,208,208,208,208,207,207,205,179,186,183,195,201,167,142,142,165,196,204,205,204,179,139,105,73,35,153,218,206,209,207,207,207,207,205,202,180,186,186,199,214,199,164,160,169,205,217,207,191,151,111,78,42,80,216,208,209,209,208,208,207,206,206,209,180,184,187,188,204,215,186,169,173,199,212,196,163,120,84,56,31,171,218,210,212,212,211,210,207,210,201,195,183,185,191,179,173,199,186,174,174,179,181,174,141,97,61,28,82,218,207,210,211,211,209,210,214,197,189,114,175,180,185,190,169,172,178,172,165,147,143,153,130,82,49,24,159,226,217,217,217,217,215,216,191,180,210,171,86,92,93,101,100,148,177,162,146,126,128,142,116,83,52,36,140,171,173,177,180,189,194,185,191,171,168,104,74,74,72,73,66,103,166,126,120,122,140,153,114,92,71,39,62,74,71,74,75,78,84,170,210,163,157,106,78,81,88,87,84,82,142,120,131,147,151,156,119,87,82,45,72,91,91,90,85,85,131,133,188,199,75,141
21,167,170,172,174,177,179,181,183,185,187,187,188,188,186,187,189,190,189,188,188,188,188,189,189,187,186,185,184,168,171,173,176,178,180,183,185,186,188,188,195,198,179,183,191,192,191,190,190,190,190,190,190,189,188,187,186,170,173,176,178,181,183,185,187,188,190,191,205,215,177,168,190,194,193,193,193,193,193,192,192,191,190,189,188,172,175,177,180,183,185,187,189,191,193,194,200,220,192,160,183,195,195,196,195,195,195,195,196,186,180,190,190,173,176,179,182,184,186,189,191,193,194,195,197,214,213,176,174,194,197,198,197,197,197,199,205,176,158,188,192,175,178,181,184,186,188,191,193,195,195,196,197,208,227,200,169,187,199,200,199,199,199,206,210,168,156,189,194,177,180,183,185,187,190,193,195,196,197,198,199,204,228,214,171,176,199,201,201,200,201,215,207,161,168,194,196,179,181,184,187,189,192,194,196,197,199,199,200,202,222,221,180,167,196,202,202,202,208,221,197,159,182,199,199,180,183,186,189,192,194,195,197,199,200,201,202,205,220,223,190,161,189,204,204,205,215,215,179,158,192,200,200,182,185,188,191,193,195,197,199,201,202,203,204,215,232,223,193,151,166,199,205,210,222,205,162,168,199,202,201,183,186,189,192,195,197,199,200,201,203,205,213,220,231,225,199,165,154,184,203,215,221,193,158,186,204,204,202,185,187,190,193,196,199,200,201,203,205,213,230,220,217,226,213,202,185,168,179,200,201,171,164,200,206,205,204,186,188,192,195,198,200,201,202,205,207,217,227,219,201,189,194,218,206,161,142,163,165,148,177,206,207,207,206,187,190,192,195,199,201,202,204,206,207,218,216,191,161,130,139,193,209,170,132,133,135,142,192,209,209,208,207,188,191,193,197,200,202,204,207,208,209,221,211,174,154,131,126,165,214,191,143,118,118,148,202,211,210,209,208,189,192,195,198,201,203,206,208,209,211,226,222,198,173,146,142,158,215,211,160,119,112,157,208,213,212,211,210,190,193,197,199,202,204,207,209,210,214,235,231,198,169,154,161,174,223,227,180,132,112,161,210,213,213,213,212,192,195,198,200,203,205,207,209,211,216,236,224,188,170,169,181,200,238,232,193,146,117,160,211,214,214,213,213,192,194,198,201,204,206,208,210,212,217,237,228,200,187,188,197,222,247,230,193,151,120,160,211,215,214,213,213,191,194,198,201,204,207,208,209,212,216,238,237,212,197,199,211,236,250,228,190,154,123,160,212,215,215,214,214,193,196,199,202,205,207,208,210,212,215,237,243,222,203,206,222,244,249,228,190,154,125,162,213,216,216,215,214,194,197,200,203,206,207,209,212,214,216,235,246,227,212,212,230,249,243,223,187,151,124,164,215,218,217,217,216,195,198,201,204,206,208,211,213,216,218,233,247,234,226,222,234,249,238,216,184,147,121,162,216,220,219,218,218,196,199,202,205,207,210,213,215,217,219,228,245,241,236,231,231,241,227,207,180,142,118,160,217,221,221,220,219,196,198,201,205,207,211,214,216,218,218,222,239,245,241,232,223,226,213,196,175,136,115,166,219,223,222,219,211,183,186,190,193,197,200,203,205,207,208,210,226,245,239,221,206,208,202,188,174,132,113,175,219,220,217,195,163,142,144,146,149,152,154,157,158,158,159,161,183,232,228,203,184,190,197,183,169,124,105,154,179,181,176,140,115,116,117,118,118,118,120,122,122,121,121,113,128,209,214,188,173,183,194,177,160,113,86,105,123,130,127,106,98
4,184,186,186,187,190,191,193,194,194,194,194,193,194,195,194,195,193,193,195,194,194,194,196,195,194,193,191,192,187,187,189,191,193,193,194,195,195,195,195,195,194,194,195,198,201,197,195,196,199,198,195,196,196,194,194,195,189,191,193,195,196,195,196,195,196,197,198,199,201,202,194,170,158,188,189,157,160,201,202,198,200,198,197,196,192,194,195,196,196,197,198,198,198,198,198,186,180,188,213,202,164,131,138,174,141,113,185,205,201,201,200,199,194,195,196,197,200,200,201,201,202,203,203,200,177,133,137,212,194,133,64,103,153,77,105,218,199,201,202,202,196,197,199,200,201,202,202,199,199,187,204,213,194,142,78,126,199,128,73,37,118,87,81,214,201,204,204,203,198,200,200,202,202,203,202,203,200,139,110,151,201,151,80,34,177,148,95,27,102,118,81,208,208,206,204,205,200,202,203,204,204,202,206,202,203,144,68,50,179,181,101,18,140,204,136,41,95,156,91,206,209,207,206,207,200,204,206,205,206,204,208,172,167,155,109,25,148,211,102,68,154,200,144,67,62,138,120,216,208,208,208,208,202,204,204,207,209,207,210,181,105,156,157,54,90,189,108,58,97,142,135,64,48,80,62,198,214,209,210,210,203,205,207,208,209,208,213,190,146,142,144,77,58,89,86,75,70,91,102,61,70,104,71,119,225,209,213,212,205,206,209,209,210,209,215,208,183,143,101,69,66,80,74,87,92,83,76,63,142,153,137,91,186,221,211,212,208,209,210,211,211,211,218,207,168,143,109,87,89,94,96,115,117,121,134,129,146,180,163,108,104,225,213,214,208,209,210,212,213,212,218,201,154,123,106,90,105,117,140,152,168,190,210,204,171,162,133,93,53,181,224,213,208,209,212,214,214,213,218,207,166,134,114,101,123,125,167,204,184,204,204,198,183,154,117,77,51,132,234,213,210,211,214,216,216,214,217,223,187,149,118,109,121,131,194,203,191,201,200,193,172,150,116,80,49,159,230,214,210,213,215,216,217,217,214,222,199,165,132,109,120,142,198,204,202,210,207,190,175,152,112,72,68,212,221,218,212,214,215,216,217,218,216,221,215,180,145,113,141,144,188,208,216,221,215,199,175,134,103,59,123,236,220,222,213,215,216,217,218,219,217,219,222,194,155,128,156,155,178,212,223,225,229,213,166,121,93,57,183,231,221,222,214,216,217,218,219,221,218,214,219,213,160,138,159,167,186,213,227,232,235,203,149,119,76,81,227,224,224,222,216,217,218,219,222,223,222,209,206,213,173,146,158,164,191,217,222,235,215,171,134,115,58,136,241,223,225,224,217,218,218,220,222,222,226,204,200,213,191,160,153,162,188,215,212,212,184,151,124,98,55,199,233,224,225,224,218,218,219,220,220,220,226,212,194,212,201,179,162,166,183,203,206,182,160,134,105,65,118,240,226,225,226,224,218,218,219,219,220,222,224,225,195,192,196,186,173,170,169,175,179,157,134,103,71,74,217,231,228,229,228,227,214,216,217,218,218,220,221,227,203,187,195,183,174,168,153,153,163,145,113,84,45,153,241,224,227,228,229,227,215,216,216,218,219,221,222,228,206,194,189,174,166,161,142,137,147,131,85,69,56,209,232,227,227,226,227,226,218,218,219,221,222,222,222,226,210,194,176,146,154,153,143,142,134,112,80,59,88,234,227,229,229,226,228,227,218,219,221,222,222,222,223,227,214,195,187,160,176,172,160,147,130,110,90,50,121,239,227,230,229,228,226,227
24,99,103,107,109,112,113,115,117,119,120,122,124,124,125,126,129,130,131,133,133,134,134,135,135,134,136,136,137,100,103,106,108,112,114,116,118,120,121,122,124,126,127,129,130,130,131,134,133,134,136,136,136,137,138,138,138,100,104,107,109,112,114,116,119,121,123,124,126,128,129,130,131,131,133,134,134,136,136,137,138,138,139,139,139,101,105,107,111,112,114,117,119,121,123,125,127,129,129,131,133,132,132,135,136,138,138,138,140,139,139,139,139,101,106,108,111,113,115,118,120,122,124,126,128,130,131,131,134,134,133,135,138,139,139,139,140,140,139,139,139,102,106,109,112,116,117,119,121,123,125,126,128,130,131,131,132,136,138,137,138,139,139,140,139,140,140,141,140,104,104,117,110,94,120,118,122,124,126,127,129,129,129,136,135,132,127,140,139,140,140,140,139,141,141,141,141,104,103,124,124,76,111,121,122,124,126,129,131,131,113,96,135,134,97,97,143,139,140,140,141,141,142,141,141,104,105,111,128,88,84,125,121,124,128,106,125,147,121,79,113,141,108,62,101,148,140,142,143,142,143,144,142,104,107,109,123,117,82,113,123,133,141,111,101,147,125,90,102,144,113,71,57,143,141,143,144,143,144,133,116,103,107,112,116,140,113,84,119,145,154,123,93,138,133,92,87,142,108,70,41,128,147,141,142,144,138,107,80,104,108,112,112,131,128,90,99,134,162,137,99,109,144,100,71,128,95,62,32,114,149,140,144,137,124,93,66,104,109,112,114,116,130,135,118,117,147,144,104,79,125,107,63,99,86,63,33,78,151,144,130,121,112,73,86,104,109,112,114,115,128,140,133,135,143,131,100,64,97,104,60,73,102,71,38,44,125,127,115,113,86,57,126,105,109,112,114,118,118,135,137,132,139,130,99,80,75,116,78,70,132,78,45,84,96,114,116,88,53,106,151,105,109,112,115,119,117,130,148,127,111,110,110,109,72,121,107,51,115,83,106,128,113,107,95,63,84,151,144,105,109,113,116,118,119,127,145,112,103,101,109,108,85,104,97,56,108,139,138,122,107,89,75,66,143,146,145,105,110,114,117,118,120,125,153,131,112,98,99,105,119,103,97,128,145,137,129,118,101,83,60,108,152,144,146,106,110,114,116,118,123,122,156,148,125,102,93,117,131,139,150,152,141,133,124,111,94,66,71,150,147,147,147,106,110,114,116,119,123,121,154,159,131,120,103,108,128,145,161,149,139,136,123,99,78,53,112,153,145,147,147,106,111,114,116,120,121,119,147,164,138,132,121,109,129,143,156,148,142,135,117,96,64,71,149,146,146,147,147,107,112,114,116,118,121,123,133,161,149,137,131,118,126,142,151,147,139,127,113,98,56,121,153,146,147,147,147,106,111,115,117,118,121,124,126,143,153,143,128,119,125,139,146,140,128,114,106,73,87,152,145,148,148,148,147,106,110,114,116,118,122,126,126,135,156,141,128,119,127,133,135,130,119,103,84,64,139,149,146,148,148,149,150,105,109,113,114,117,120,123,125,132,145,129,126,121,123,128,131,127,115,97,63,98,155,144,146,147,147,147,148,103,108,111,114,116,119,122,123,130,134,126,134,132,131,133,129,120,109,89,59,129,149,144,145,146,146,146,146,103,107,111,113,114,119,121,121,130,147,141,146,138,136,130,123,115,103,77,64,142,144,144,144,145,145,147,146,102,106,111,112,114,118,121,120,130,159,145,144,139,134,123,119,115,96,67,75,149,143,144,144,144,145,146,146
0,178,178,181,181,181,181,182,182,182,182,181,182,182,181,181,181,181,180,179,179,180,179,177,176,176,177,176,175,180,181,181,183,183,183,183,182,182,182,181,184,183,183,183,182,181,181,182,181,180,182,180,176,177,179,178,177,182,184,185,185,186,186,185,185,184,185,185,184,183,184,185,187,183,183,183,185,182,177,169,182,179,180,179,179,185,187,187,186,187,187,187,187,187,186,187,187,186,186,170,153,175,181,159,147,178,183,119,177,181,180,180,180,186,187,186,187,187,188,189,189,188,188,177,160,179,199,174,134,112,167,156,132,115,164,131,134,191,180,180,180,186,187,187,188,189,189,189,189,189,204,182,140,148,201,174,157,108,161,164,154,109,99,170,117,150,183,184,182,187,189,188,190,190,189,193,168,161,209,187,165,149,198,175,164,106,166,167,149,118,70,152,152,118,124,186,182,187,189,189,190,188,196,208,183,138,178,204,168,140,205,183,159,95,173,165,129,124,53,104,169,147,88,162,189,189,190,191,192,189,205,206,196,173,136,207,174,127,200,187,154,92,145,152,109,110,43,115,181,163,103,145,193,190,192,192,192,197,198,195,204,180,116,184,183,121,174,187,140,91,93,124,101,91,44,151,185,165,106,136,196,190,191,192,190,198,184,148,175,154,101,146,168,114,128,154,114,96,62,89,108,81,68,164,180,159,102,127,196,190,191,193,192,195,199,158,164,131,83,117,141,103,90,122,101,81,51,123,163,142,137,157,167,152,97,123,197,191,194,195,194,198,210,180,168,133,97,103,124,104,72,102,118,115,158,186,173,164,153,135,141,145,102,113,198,193,196,196,194,204,205,177,154,137,112,79,131,131,60,108,182,197,199,185,170,157,145,128,118,128,109,107,195,195,195,197,193,211,220,199,180,155,124,98,127,125,131,191,207,200,190,180,166,152,138,119,110,113,100,121,197,196,196,198,195,212,222,206,184,163,157,157,153,173,203,208,200,194,183,175,162,145,128,111,106,109,92,166,197,197,197,199,195,217,228,208,187,170,166,165,178,193,198,204,200,186,181,167,151,139,119,106,110,95,142,198,193,197,197,201,198,219,232,214,198,186,176,178,190,198,201,202,190,182,177,157,143,129,112,109,97,113,198,195,195,197,197,200,196,217,232,222,206,191,181,180,191,202,200,193,180,172,167,149,133,118,111,105,91,174,200,194,195,198,198,201,198,211,231,228,215,194,179,174,179,186,181,182,167,153,152,133,121,117,107,91,154,202,195,197,197,200,200,202,202,203,225,223,210,195,178,171,177,180,183,180,163,145,142,123,115,107,100,155,201,196,198,199,197,201,201,202,203,200,212,211,196,184,167,171,177,172,181,174,159,149,137,120,102,103,172,203,198,198,198,199,198,200,202,203,203,203,208,196,193,188,178,189,181,158,175,172,153,139,128,108,88,172,206,198,199,198,198,200,199,201,203,204,203,204,207,204,210,202,193,190,183,151,165,172,147,130,119,83,131,210,198,202,202,200,200,200,199,202,203,203,203,203,209,221,218,207,183,182,178,144,163,159,141,126,107,83,180,208,201,203,202,200,201,201,201,202,203,204,204,203,201,228,218,205,175,178,174,149,156,145,138,124,94,96,201,204,203,203,202,201,202,202,201,202,203,204,204,204,198,222,211,196,171,179,181,147,139,144,133,121,90,108,210,202,205,204,203,203,203,202,201,202,203,203,204,203,201,221,202,189,170,179,178,136,145,141,129,118,88,111,210,203,204,204,204,203,203,203,202
13,175,178,181,183,185,188,190,192,193,197,196,194,196,196,196,196,196,196,196,195,193,193,194,192,191,191,190,190,177,178,183,186,187,190,191,195,195,195,198,197,197,198,197,198,198,197,198,197,195,195,196,195,191,191,192,192,178,181,185,187,190,191,194,197,198,197,199,198,198,199,200,201,198,197,199,198,195,196,196,196,195,194,194,194,180,184,188,189,191,193,196,199,199,199,200,202,202,201,204,203,201,199,197,198,203,200,196,196,197,198,196,195,181,184,188,191,193,195,197,199,200,201,202,203,204,205,199,201,198,203,216,180,134,184,204,202,202,197,198,198,182,185,189,192,195,196,198,199,202,203,204,204,202,190,218,219,155,158,243,184,94,105,200,168,187,203,199,199,185,189,192,196,195,197,200,201,204,206,202,213,210,142,169,238,164,126,231,181,105,50,162,130,91,202,202,200,186,189,192,195,197,197,200,203,205,204,206,250,225,170,102,219,178,119,226,168,95,59,168,146,56,168,212,200,188,190,193,196,199,202,203,205,210,203,228,252,238,187,100,193,189,95,204,181,73,108,207,150,45,139,217,197,189,192,196,197,200,204,206,207,207,209,246,202,230,190,89,158,192,84,208,207,90,82,129,81,33,142,218,200,190,193,197,199,201,203,205,207,202,226,247,209,226,166,78,154,177,77,105,154,73,52,117,109,48,153,218,203,191,195,197,199,202,205,206,203,220,252,224,187,214,140,80,186,153,97,2,4,9,117,193,191,91,166,217,205,194,196,198,203,205,206,210,202,235,255,210,159,185,142,85,194,162,95,0,75,119,171,190,188,113,166,218,205,196,198,199,204,206,206,211,206,245,250,213,166,138,150,64,208,225,92,99,231,213,178,142,128,94,125,222,206,196,198,200,205,208,209,213,210,255,247,221,200,159,112,62,164,183,148,230,225,190,165,131,97,78,84,214,211,197,200,203,206,210,212,211,215,255,245,223,202,185,136,129,132,193,235,234,208,180,152,117,90,71,87,218,210,200,203,205,207,212,213,211,220,255,246,221,208,190,156,136,159,242,244,224,192,160,138,105,88,56,149,225,210,200,204,206,209,214,216,215,217,255,250,225,212,195,164,145,185,240,243,219,183,147,121,95,73,70,210,217,214,201,205,208,212,213,216,216,217,255,252,231,214,195,169,165,208,225,220,199,171,142,110,88,48,111,232,214,218,202,207,209,213,215,216,216,217,255,251,227,212,189,169,189,212,191,191,174,152,129,100,60,67,196,222,216,216,204,207,212,215,215,218,220,215,255,248,235,213,186,180,204,202,175,172,149,127,108,64,85,201,225,218,219,218,206,208,212,216,217,219,220,221,255,251,246,216,197,196,212,191,168,150,128,115,70,84,213,226,220,222,221,221,206,208,213,216,219,221,212,243,255,255,251,214,205,211,202,174,151,122,114,80,76,206,230,223,222,222,222,222,207,208,213,215,220,222,213,255,255,255,247,211,208,204,188,154,125,107,88,66,183,229,224,225,224,224,224,223,207,210,213,216,221,219,221,255,237,233,226,202,198,200,168,131,113,100,60,158,235,225,227,227,225,224,224,223,208,212,214,219,222,214,226,255,226,209,205,185,195,195,142,124,112,71,98,224,230,229,226,227,225,224,223,224,209,213,216,219,225,206,241,255,214,204,198,181,186,165,127,119,92,60,164,235,231,231,227,227,227,226,224,224,210,214,217,220,221,207,255,248,197,194,200,180,167,145,119,106,64,83,210,233,231,231,230,229,228,226,226,224
12,169,169,170,173,174,174,177,177,178,178,178,177,177,177,176,175,175,174,174,174,173,172,172,171,170,168,168,168,170,171,173,174,175,177,178,178,179,179,180,179,179,178,178,179,177,175,175,174,174,174,173,172,171,171,170,169,171,172,174,175,177,179,179,180,180,181,181,181,181,181,181,181,179,177,177,177,176,176,174,174,174,174,171,171,173,174,175,178,179,179,181,182,181,181,182,183,182,182,181,180,180,181,181,179,178,178,177,176,175,174,173,172,174,176,178,180,180,181,183,184,184,184,185,185,185,186,184,182,182,183,184,180,180,179,180,178,177,175,175,173,175,178,179,181,182,184,185,186,186,187,187,185,182,175,181,187,175,152,150,184,184,182,181,180,179,178,176,175,177,179,181,182,184,186,187,187,188,188,188,194,181,141,121,179,168,126,73,150,167,165,183,182,179,179,178,177,179,181,183,185,187,187,189,190,189,190,191,200,181,135,79,136,161,123,86,93,136,95,113,182,181,180,180,179,180,183,186,187,188,188,190,190,191,188,167,192,169,122,73,120,191,142,106,87,125,93,65,134,189,181,181,181,182,183,187,187,189,190,191,191,206,189,137,160,177,132,63,133,227,155,118,111,134,96,64,113,191,184,182,182,184,185,187,189,190,191,190,208,224,192,148,116,213,164,72,118,210,137,94,158,147,107,57,125,193,185,184,184,185,186,187,190,192,194,191,215,216,197,147,93,190,151,89,100,134,107,109,190,135,79,51,140,193,188,187,185,187,188,189,192,193,193,196,226,198,172,123,83,82,100,83,88,138,176,170,138,91,53,60,172,191,188,187,187,187,189,192,194,194,194,219,220,188,129,100,78,42,55,142,176,178,178,162,129,119,70,107,197,190,189,188,189,188,190,193,194,195,197,234,211,170,127,121,66,46,148,211,206,182,165,141,120,118,79,127,200,192,191,189,189,190,191,194,196,196,200,236,212,147,146,145,82,132,218,216,206,181,158,141,116,101,65,138,201,194,193,192,190,191,193,195,197,196,208,238,215,181,163,140,159,207,218,214,199,178,151,133,109,84,54,156,200,195,194,192,192,191,194,196,198,197,215,237,222,200,187,146,181,211,217,205,191,171,138,122,99,75,46,147,203,195,195,194,193,193,194,197,199,198,214,234,225,208,191,156,192,205,207,191,179,156,128,112,89,68,43,146,203,197,197,195,194,195,196,198,201,200,210,229,223,214,187,158,180,196,189,181,172,140,115,96,77,57,53,182,201,198,198,196,195,195,196,198,201,201,207,228,222,212,174,149,170,179,183,171,156,125,103,86,68,47,138,204,201,201,199,198,197,196,196,199,201,207,208,217,214,188,152,149,170,178,184,170,144,124,101,78,60,140,205,201,202,202,200,199,198,195,196,200,198,149,193,216,201,185,178,171,169,185,186,163,129,120,91,57,140,211,204,202,202,203,201,200,198,196,197,205,168,66,102,208,212,201,185,165,150,174,172,138,110,101,64,106,207,206,204,204,202,202,202,201,200,197,199,201,112,85,68,107,165,162,150,141,133,155,142,113,97,74,82,199,209,206,206,205,203,203,203,202,200,196,205,170,82,85,82,27,63,65,63,58,60,83,89,86,73,58,175,213,207,207,207,206,205,204,204,203,202,195,198,119,81,82,88,23,33,51,49,38,32,29,32,37,26,50,188,211,208,207,207,207,206,204,203,203,201,200,169,85,81,81,86,18,17,42,45,36,32,30,27,22,13,6,122,216,207,207,206,206,205,203,203,202,200
18,149,151,155,157,160,162,165,168,170,172,175,176,177,179,180,181,181,181,182,180,181,182,182,182,182,184,184,184,150,154,155,158,161,163,167,171,174,175,177,178,179,181,181,181,183,183,185,187,181,184,185,184,185,185,186,186,152,154,156,160,163,166,168,172,176,177,178,180,181,183,185,185,184,174,149,166,194,185,185,191,186,187,189,188,153,155,159,161,166,169,170,173,177,177,181,183,183,184,181,180,206,172,130,98,152,155,133,160,196,189,190,190,153,157,161,164,167,170,171,175,177,180,182,185,186,185,151,126,174,154,100,98,74,135,133,93,165,198,191,192,156,159,161,166,169,171,176,177,181,181,184,178,194,204,145,118,157,135,87,88,71,130,154,101,101,203,192,193,159,161,164,168,171,175,178,180,183,183,190,151,132,181,168,144,166,142,122,114,96,102,131,104,87,198,194,194,160,163,166,169,173,177,178,182,183,189,204,167,137,118,174,157,142,166,158,158,149,116,88,82,91,200,196,196,161,164,167,170,174,177,180,183,184,195,197,196,172,120,122,161,119,144,177,169,169,136,83,56,92,203,197,197,162,166,169,172,175,178,181,184,187,195,164,191,170,142,87,120,132,95,147,169,164,130,91,57,92,208,197,199,164,167,171,174,178,182,184,184,188,197,131,128,156,124,70,81,121,80,82,132,154,144,111,62,108,212,197,201,165,168,171,175,179,182,185,187,188,199,152,119,143,94,60,65,96,72,56,83,164,164,128,72,101,214,198,203,166,170,172,176,179,183,184,187,189,203,183,142,131,93,64,56,89,67,45,60,158,184,142,100,69,188,206,201,167,170,174,177,180,183,186,189,190,204,174,131,115,95,67,50,94,74,30,133,188,196,164,116,66,107,214,202,168,171,175,178,182,185,187,191,190,199,193,167,131,100,75,65,77,54,117,205,203,189,160,114,85,91,210,205,170,172,175,178,182,186,189,193,191,202,199,173,134,103,87,80,71,109,197,217,210,190,147,107,81,108,215,204,170,173,178,179,182,186,189,193,192,203,202,179,143,117,103,106,108,173,212,219,196,176,139,95,70,129,218,203,172,174,178,180,183,187,190,193,195,200,203,186,158,139,129,108,119,183,211,212,179,149,120,91,66,155,218,205,170,175,177,181,184,188,190,194,193,198,200,187,166,144,132,117,118,169,213,206,169,140,108,87,70,174,217,208,170,173,179,182,185,188,191,196,196,196,198,189,169,144,138,140,116,157,212,196,155,126,99,80,79,195,214,209,169,173,179,181,184,187,191,192,197,197,194,188,174,153,159,150,116,139,211,177,144,110,91,75,95,211,211,211,170,173,177,179,183,186,191,190,195,198,192,184,177,162,155,156,123,125,198,161,128,99,85,71,116,221,209,211,170,174,178,181,184,186,192,192,194,196,194,185,179,165,153,152,130,111,179,151,108,91,84,67,138,219,207,211,173,176,180,182,184,188,192,193,195,199,197,192,187,168,150,140,119,95,158,129,93,83,84,75,180,215,210,212,172,176,180,182,185,189,191,194,196,198,191,204,186,157,136,119,91,93,133,108,91,87,73,121,218,211,212,212,172,176,179,183,186,189,191,193,197,195,190,209,181,151,131,102,94,97,125,102,92,86,79,182,214,210,212,212,172,177,179,183,186,190,191,194,198,192,197,211,186,161,144,117,105,108,125,94,97,66,123,219,210,211,211,212,171,176,178,182,186,189,191,193,196,189,198,203,192,170,157,121,98,123,115,96,86,64,170,215,207,212,211,212
14,201,203,204,203,204,207,208,203,212,231,219,188,162,133,187,208,209,211,206,207,207,208,207,207,206,205,204,204,203,205,206,207,206,208,203,215,241,216,164,142,130,122,144,188,188,187,209,207,207,208,207,207,206,207,206,205,204,206,207,208,208,203,226,248,227,177,124,123,121,123,152,174,158,134,209,210,209,211,211,210,209,209,208,207,205,208,209,208,206,213,255,230,176,138,122,128,117,104,125,143,124,159,220,209,210,212,210,210,211,210,209,208,207,209,209,212,203,229,255,211,131,107,104,111,116,128,123,133,144,159,193,214,212,212,213,212,213,211,210,209,208,209,210,213,207,242,255,204,132,105,100,104,119,135,113,122,171,180,143,172,220,211,215,215,212,212,212,211,208,209,212,213,212,254,247,183,126,111,118,101,103,112,109,108,130,145,118,190,226,215,215,216,216,214,214,213,209,211,214,212,219,255,240,178,119,112,128,109,115,130,139,138,124,129,123,159,181,216,217,215,216,216,215,215,212,213,216,210,228,255,246,201,146,117,116,115,124,118,124,117,125,140,144,143,129,186,219,217,217,217,216,215,213,215,218,210,243,255,246,203,158,128,105,127,131,119,149,173,211,196,170,153,181,164,202,224,218,218,218,218,215,217,216,214,251,255,248,200,153,133,113,127,116,192,232,225,222,226,224,187,197,162,207,225,219,220,219,219,216,217,217,218,255,255,250,209,162,130,118,113,125,219,222,222,222,227,204,173,192,157,215,224,221,220,220,220,218,220,218,224,255,255,253,215,172,134,116,109,190,230,223,224,224,228,196,175,190,151,213,225,222,222,221,221,219,221,219,225,255,255,254,220,177,141,108,126,229,224,225,225,223,233,189,166,190,146,189,232,223,223,223,222,220,222,223,227,255,255,254,223,183,150,105,159,237,223,227,226,228,225,174,166,180,154,165,233,224,224,226,224,221,223,223,228,255,255,255,225,186,152,109,165,235,231,233,234,232,172,167,187,180,147,182,234,225,226,226,225,223,223,221,230,255,255,255,226,185,155,134,104,136,166,168,193,183,150,174,178,166,161,228,229,227,226,225,225,223,223,222,230,255,255,255,222,187,166,149,113,112,120,129,141,146,157,172,173,149,207,234,227,227,227,226,226,224,225,223,235,255,255,255,219,196,181,158,122,123,137,146,156,159,155,164,152,182,237,229,231,228,229,228,227,226,227,223,240,255,255,253,225,208,189,162,134,128,147,151,155,159,157,144,152,233,233,232,232,230,229,229,228,226,229,225,243,255,255,253,235,216,190,161,143,131,146,153,153,157,155,133,204,239,232,232,232,231,231,230,230,227,228,226,247,255,255,253,242,221,190,160,144,134,142,153,149,155,139,190,241,232,233,233,233,232,232,233,232,226,228,224,249,255,255,253,242,217,177,143,134,130,139,148,151,141,159,241,234,235,234,234,234,233,232,232,232,232,236,237,255,255,255,255,237,200,147,124,127,125,136,142,147,137,218,240,233,235,235,235,235,234,233,233,232,206,192,183,192,175,169,153,137,123,103,95,105,121,134,136,131,195,244,235,237,236,236,237,237,234,234,234,234,132,122,112,105,98,93,85,82,83,78,69,69,80,105,124,189,245,234,237,237,237,236,238,237,236,237,234,236,127,122,113,109,106,100,90,87,86,77,69,68,67,61,90,243,239,239,239,239,239,238,238,238,237,237,237,236,126,120,112,106,100,96,88,85,82,75,67,65,68,62,94,245,240,241,240,240,240,239,238,238,237,238,238,238
8,83,89,97,101,104,106,112,118,120,121,121,123,125,126,126,126,127,128,128,128,128,127,127,125,125,124,123,123,85,93,102,107,105,126,117,114,125,125,126,127,128,129,129,129,129,129,129,129,130,129,128,126,126,124,123,123,90,99,107,113,109,154,108,81,136,129,132,132,133,134,133,134,134,134,133,133,132,133,131,130,129,128,125,124,94,103,112,117,116,171,103,63,143,137,139,139,140,140,140,140,139,141,139,137,137,137,135,135,133,131,129,127,98,107,115,122,122,188,102,62,150,144,146,147,147,146,146,149,149,143,144,148,143,141,141,141,139,136,134,131,103,111,120,126,129,185,97,68,155,150,152,152,158,155,154,143,142,165,149,115,146,149,147,147,144,141,139,138,108,118,125,131,133,190,112,68,158,156,157,159,124,140,193,133,68,140,182,89,91,158,152,153,150,146,145,142,113,122,128,135,141,194,122,77,155,159,178,203,126,114,182,151,93,111,150,122,69,131,166,157,156,153,151,148,118,126,135,140,145,195,152,111,142,170,204,212,197,169,134,134,150,180,109,60,66,98,173,161,161,159,157,154,122,131,140,147,146,190,160,143,160,188,186,188,205,145,139,145,158,156,120,62,22,73,177,164,165,164,162,158,125,134,144,151,150,186,174,156,183,191,160,123,203,155,131,144,121,111,136,89,15,86,183,167,169,167,165,164,128,137,146,154,153,187,192,151,175,177,174,116,147,177,91,65,60,123,153,105,40,132,184,173,173,170,169,167,133,142,149,157,156,190,206,116,154,154,130,125,122,170,96,24,16,175,172,127,56,117,191,175,177,174,171,171,136,146,153,160,161,190,210,129,94,147,101,104,115,148,133,72,32,152,201,146,75,54,182,183,181,177,175,173,138,148,155,161,163,188,213,163,82,102,123,97,133,156,144,76,159,192,190,155,91,33,143,197,183,181,179,177,142,150,158,164,166,186,223,180,109,77,134,100,170,191,152,147,210,196,156,120,85,43,142,201,186,185,182,179,145,153,160,168,172,188,224,190,139,85,102,114,164,201,198,217,201,169,142,95,68,54,180,195,189,191,196,194,147,157,163,171,174,191,225,204,160,109,96,118,154,209,208,215,194,154,117,86,38,97,213,204,203,183,130,70,148,158,166,173,176,191,224,211,172,135,112,121,143,207,214,204,177,138,103,68,35,167,180,123,81,30,0,0,150,159,168,173,177,190,219,211,184,149,138,120,138,188,214,194,157,119,89,58,37,62,16,0,0,7,7,4,151,162,169,175,180,186,207,212,195,160,162,125,124,166,202,187,146,105,80,48,15,0,0,0,0,10,13,0,152,162,169,176,183,183,195,212,200,171,165,136,115,158,177,177,134,95,71,40,2,0,0,6,0,0,11,9,153,163,170,177,183,187,186,205,196,178,160,135,93,148,153,159,116,80,60,16,0,0,0,0,1,0,0,5,152,162,169,175,182,189,179,198,200,178,156,126,91,113,146,128,101,70,48,0,0,7,0,0,4,0,0,0,154,163,170,175,180,189,181,196,214,188,157,127,96,92,131,116,88,62,29,0,0,0,0,0,0,0,0,0,155,163,170,175,181,188,184,196,205,178,144,125,95,89,106,105,78,44,11,0,0,0,3,0,0,0,0,0,156,164,172,177,181,192,173,197,199,144,145,132,103,87,91,98,75,17,0,6,0,0,0,0,0,0,0,0,148,158,166,173,178,195,117,196,203,156,167,144,110,82,85,92,65,0,0,6,0,0,0,0,0,0,0,0
23,179,182,183,184,186,186,188,190,190,191,191,193,193,194,194,194,195,195,194,194,194,193,193,193,192,192,193,193,181,183,185,186,188,189,192,193,193,193,193,195,196,198,199,198,195,194,195,195,195,195,195,196,195,196,195,196,182,185,187,188,190,190,193,193,194,195,195,196,199,198,196,197,206,219,224,209,190,191,200,196,196,197,197,198,183,186,188,190,190,191,194,196,196,197,196,199,198,206,213,228,238,236,225,210,199,188,178,140,191,199,199,199,186,187,189,190,191,193,194,197,198,196,199,197,208,253,245,220,216,213,173,145,150,143,125,151,202,199,201,200,186,188,190,192,193,195,195,197,198,199,201,193,222,255,222,186,184,148,139,179,171,165,183,206,201,201,202,202,188,189,192,193,195,195,198,199,200,201,203,194,235,255,214,154,129,160,198,209,209,210,207,203,202,202,203,203,189,191,193,195,196,199,201,200,201,202,203,201,250,248,217,163,169,213,211,225,213,191,207,203,204,204,204,204,190,193,194,195,198,200,200,201,204,206,200,212,255,238,227,145,181,239,245,254,227,150,211,215,207,206,207,207,191,194,196,197,199,198,201,204,206,209,198,225,255,232,228,191,246,255,250,237,197,135,138,166,210,210,209,208,193,195,196,199,200,201,203,205,207,207,201,243,254,231,248,255,253,244,228,215,206,215,150,94,182,215,207,209,194,197,199,200,202,204,206,208,209,205,209,254,251,245,244,246,244,238,237,238,238,235,183,106,145,222,208,212,195,198,201,203,203,205,207,209,208,211,241,250,246,242,237,243,245,245,240,232,214,199,159,110,107,185,216,210,197,199,201,203,204,206,208,210,205,241,254,252,251,245,235,231,235,236,227,215,203,210,177,105,99,138,222,212,199,200,202,204,206,208,209,210,206,247,255,254,253,245,226,226,231,231,227,216,212,215,187,114,92,153,224,213,201,202,203,206,207,209,210,213,210,242,255,254,255,250,241,242,230,224,216,204,201,194,159,116,98,191,224,215,201,203,204,207,208,209,213,215,209,235,255,253,255,251,239,244,210,184,183,177,164,157,152,115,125,220,219,217,202,204,207,208,210,211,213,216,210,230,255,254,255,246,236,231,197,152,124,107,121,159,151,110,162,229,218,218,204,206,209,210,212,213,215,216,211,228,255,254,254,242,234,215,189,163,117,38,102,160,147,110,194,227,221,221,206,207,209,211,214,214,216,217,216,225,255,254,255,245,231,240,228,148,76,75,130,149,124,119,218,223,221,223,207,208,211,213,214,216,217,218,218,224,255,254,255,246,239,241,210,150,83,98,131,117,102,151,233,221,222,224,208,209,212,214,215,216,218,218,219,222,254,254,255,249,245,239,197,160,111,85,100,110,106,169,235,220,223,223,208,210,212,214,217,218,219,220,221,221,252,255,255,249,249,240,200,157,124,80,102,121,108,186,235,223,225,225,209,210,213,215,217,218,220,221,222,221,251,255,254,250,250,238,201,158,134,99,112,125,113,209,230,226,227,227,209,211,214,216,217,218,221,223,223,222,252,255,253,251,248,234,203,163,136,109,121,123,129,230,225,227,228,229,210,212,214,215,217,219,222,224,224,223,252,255,254,248,241,224,195,159,135,116,122,111,164,241,226,228,228,229,212,214,215,217,219,220,223,224,226,224,251,255,254,243,228,211,185,151,136,126,118,117,221,233,228,230,230,230,213,215,216,218,221,223,224,224,228,225,250,255,254,238,215,194,167,147,140,133,108,162,241,227,231,231,231,231
4,91,98,112,122,128,132,136,140,143,146,146,148,151,153,156,159,160,161,163,162,164,165,166,167,167,166,167,168,92,99,114,124,129,134,137,141,144,146,148,151,152,154,155,158,162,163,163,166,166,166,167,168,169,168,169,169,93,101,116,124,129,134,138,142,146,147,146,148,152,157,162,157,146,156,163,154,163,170,168,169,171,171,171,171,94,101,117,125,130,135,139,143,146,146,163,164,147,150,188,166,118,97,147,124,104,167,172,169,172,172,172,172,95,104,119,125,132,137,140,142,151,153,150,177,174,124,145,158,112,77,105,125,82,132,180,170,173,173,173,172,95,106,121,126,133,137,142,141,175,173,145,129,141,117,102,138,104,73,120,130,79,119,182,170,173,174,175,174,95,108,122,128,134,138,139,154,187,181,162,133,91,90,98,164,111,81,151,116,64,129,183,172,175,176,176,177,96,110,123,128,134,139,136,171,169,148,156,112,84,76,94,151,120,148,154,118,72,145,181,173,176,177,178,178,97,112,124,128,134,140,137,178,151,135,152,92,74,84,68,110,144,162,139,140,111,136,183,175,177,178,179,179,99,113,124,129,135,140,142,188,162,150,140,101,64,111,134,143,147,136,131,153,137,115,148,185,178,179,179,180,100,116,125,131,136,138,151,190,152,131,123,102,50,116,147,130,130,99,127,165,154,145,108,153,186,178,180,181,102,118,126,131,137,135,159,184,142,120,104,80,55,58,88,96,85,83,125,153,166,155,126,100,166,184,181,182,103,119,126,131,138,134,175,191,153,131,117,95,72,61,66,68,106,168,165,161,157,142,137,102,119,188,180,183,104,119,126,133,139,135,189,187,153,144,121,96,82,80,109,150,179,185,170,160,143,118,120,100,119,190,182,185,105,120,127,133,138,139,198,188,170,151,120,106,92,102,161,184,187,187,172,150,133,107,101,92,157,188,184,185,105,121,128,133,137,142,205,192,174,146,121,117,98,136,179,180,187,183,163,141,121,104,88,112,188,183,185,186,108,121,128,134,138,142,202,193,169,143,130,130,116,155,176,176,182,175,152,131,115,99,82,159,191,184,186,187,110,122,128,135,140,143,200,190,165,153,152,139,136,163,173,179,172,159,141,121,110,89,112,189,184,185,186,188,110,123,129,135,140,142,189,189,176,168,160,143,145,166,172,171,157,143,129,113,101,84,164,190,185,186,188,188,112,122,127,135,142,140,177,195,187,175,159,140,129,152,159,155,144,131,119,108,85,120,191,185,187,187,189,189,114,123,128,135,142,141,164,195,178,170,156,136,121,140,147,144,131,119,111,98,89,174,188,187,189,189,189,190,115,124,128,135,142,144,155,190,169,156,146,127,128,138,148,144,128,114,106,82,141,192,185,189,189,190,190,190,116,123,129,137,142,146,152,180,157,150,140,130,145,134,135,138,120,107,90,98,186,187,187,188,190,191,190,191,117,124,131,137,143,148,150,183,160,156,146,149,154,135,123,128,114,101,81,147,193,185,187,188,191,191,192,192,116,124,132,138,144,145,177,177,176,160,152,151,142,130,116,118,109,98,83,173,190,185,187,190,191,191,192,193,118,124,131,139,138,162,191,173,153,159,159,148,133,125,110,107,101,94,79,171,191,186,189,191,192,192,192,193,119,124,132,137,144,191,179,185,162,115,147,142,127,120,99,98,98,90,81,173,190,188,190,190,192,192,193,193,120,125,134,134,167,191,176,179,191,147,98,122,124,115,92,96,94,87,76,170,190,189,191,191,192,193,193,193
10,107,112,118,115,99,83,94,61,52,83,82,90,93,107,120,124,130,137,141,146,152,156,157,161,162,165,167,168,114,120,126,117,106,86,105,55,60,84,86,86,115,149,118,127,131,139,143,148,152,156,159,162,164,165,167,169,123,130,136,120,112,88,112,48,68,84,89,80,156,176,102,128,135,142,146,150,154,157,161,163,165,166,168,168,133,140,144,125,117,92,116,43,75,84,90,84,143,184,105,116,143,144,149,152,156,160,165,167,168,168,169,169,142,150,151,128,120,100,116,40,81,85,90,89,121,185,122,103,147,150,155,158,161,166,170,172,173,173,173,174,150,160,156,133,121,110,110,41,87,86,90,94,107,183,153,100,144,158,160,163,169,174,177,179,179,179,179,179,157,168,159,139,120,121,102,46,91,87,92,96,103,173,173,107,133,166,165,170,176,180,183,185,185,185,185,186,164,173,161,145,118,133,92,52,91,88,93,99,107,160,185,117,117,173,171,177,180,186,188,191,191,191,191,192,168,180,160,150,116,143,79,61,93,89,93,100,111,159,203,135,110,177,177,182,187,191,194,198,198,198,198,198,173,184,162,155,116,151,69,66,91,91,94,100,114,162,201,143,110,179,184,188,192,196,199,202,203,204,203,203,178,186,162,158,116,155,54,96,99,90,93,103,118,161,188,143,104,176,189,191,197,201,205,207,209,209,209,209,182,188,164,157,120,145,106,149,93,100,113,103,124,168,169,148,101,170,196,196,202,207,210,212,213,213,213,214,185,187,164,154,125,141,139,142,89,83,85,90,119,177,156,177,96,158,202,199,206,211,214,216,216,216,217,217,188,188,168,150,130,164,112,132,117,90,78,70,75,104,130,151,92,143,207,202,209,214,218,219,219,219,220,221,191,187,172,145,138,138,81,88,134,121,101,70,54,83,108,119,101,120,208,207,212,217,218,221,221,221,222,223,193,185,178,142,148,123,78,128,150,136,101,73,63,71,88,102,99,103,205,210,215,219,222,223,224,224,225,225,196,184,182,136,165,95,106,198,173,132,105,84,77,73,81,89,92,102,206,214,216,221,224,225,226,227,227,228,197,185,182,131,170,81,117,199,169,118,126,106,83,78,77,83,85,105,211,215,219,223,226,228,229,229,230,230,199,185,182,129,177,72,83,213,203,105,96,125,104,90,74,76,82,113,217,215,221,226,228,229,230,230,231,232,198,186,185,129,180,61,87,212,210,98,129,128,125,103,78,77,75,128,220,215,222,226,230,230,231,232,233,233,197,188,186,132,186,55,85,197,157,118,188,149,125,117,86,80,71,135,223,215,223,227,230,232,233,235,236,235,197,191,181,137,183,51,81,181,198,163,194,171,134,122,100,87,75,144,222,216,222,226,230,231,232,235,235,235,199,196,175,145,175,47,83,151,201,177,185,172,159,128,103,92,76,149,222,216,222,226,230,231,232,233,235,235,200,199,168,156,162,36,89,102,189,201,185,183,158,135,110,96,77,143,221,215,221,225,228,232,233,232,234,235,199,201,160,162,160,71,111,94,179,203,182,198,152,133,107,98,82,157,227,223,229,233,237,239,240,242,243,246,191,202,156,162,187,128,123,119,152,201,179,190,151,124,108,103,86,134,166,169,174,177,184,186,189,193,197,195,196,201,152,171,182,115,114,119,117,183,176,165,157,138,127,107,81,108,127,124,125,126,126,127,127,127,127,90,199,197,148,178,178,119,119,123,119,146,155,147,158,163,153,108,75,80,135,132,135,138,137,135,134,139,113,80
13,173,178,181,182,185,186,189,191,191,192,193,194,195,194,194,194,193,191,191,191,189,187,186,186,185,182,181,179,176,179,180,183,186,188,190,191,192,194,195,196,196,197,197,196,195,195,195,192,191,190,189,189,187,185,183,181,177,180,183,185,186,190,192,193,195,197,198,198,198,197,197,198,198,197,198,196,194,194,192,191,189,187,186,184,178,182,185,186,187,190,194,196,197,199,199,201,201,201,201,198,199,202,201,197,197,196,195,193,191,190,188,187,179,183,185,187,189,192,195,197,198,200,199,203,204,194,198,206,201,196,201,203,197,198,197,195,194,192,190,187,180,184,186,187,191,194,197,198,200,202,201,204,191,149,116,180,195,143,113,171,207,198,198,196,196,194,192,189,181,185,188,188,193,195,197,199,201,203,201,209,202,162,125,100,150,143,87,84,207,200,201,199,198,196,193,190,183,186,188,190,194,197,200,201,202,205,205,209,222,176,150,81,113,153,111,56,179,209,203,201,200,198,194,193,184,188,189,190,195,198,201,203,204,206,207,206,217,181,137,81,87,142,109,48,162,214,202,203,203,200,198,196,184,189,191,193,195,198,201,205,206,208,212,215,208,179,132,88,65,107,89,42,158,215,202,203,202,200,198,197,185,191,192,194,197,200,204,206,207,202,167,184,182,175,134,102,65,108,97,47,179,215,205,204,203,201,199,198,185,189,192,195,198,203,205,206,210,181,118,98,105,158,181,132,77,115,118,51,177,218,206,206,205,203,200,199,186,191,193,196,198,202,207,207,222,176,127,112,75,137,209,149,79,94,109,44,106,223,206,206,206,205,202,202,186,192,195,197,201,202,204,190,146,164,149,135,88,50,146,108,69,84,80,69,59,178,219,205,207,205,204,202,187,192,195,198,201,198,213,173,103,105,169,139,117,44,17,30,49,90,90,97,81,98,221,209,208,206,205,204,188,193,196,198,199,216,218,151,124,97,138,149,116,86,18,44,65,73,124,122,109,60,182,218,208,207,206,204,189,193,198,199,203,219,172,159,143,123,94,144,124,102,38,45,121,132,137,124,109,58,156,223,208,208,206,205,189,194,198,200,203,225,172,142,140,120,94,113,116,77,41,50,150,170,164,113,94,58,174,222,208,207,205,205,190,194,198,201,207,214,172,120,109,107,78,46,82,67,55,74,170,167,157,123,80,62,204,217,211,209,207,206,191,195,199,200,205,207,194,165,116,77,50,28,67,96,75,132,193,162,147,116,61,87,225,213,214,211,208,206,191,197,200,200,203,207,204,180,143,115,98,93,95,107,119,196,189,152,128,110,51,125,232,214,215,212,210,208,193,198,199,201,205,204,198,187,160,140,113,110,131,177,192,194,171,143,118,99,46,164,229,214,216,212,210,208,193,198,198,203,205,207,194,173,155,132,110,112,126,193,189,175,155,131,109,81,51,199,223,215,215,213,211,207,193,199,200,202,206,210,185,160,156,134,118,121,121,174,182,170,143,117,97,64,71,225,218,217,215,213,211,209,195,199,200,203,205,213,199,168,157,139,130,125,123,168,177,164,135,101,86,38,128,234,217,217,215,214,211,210,194,197,198,202,205,210,215,177,155,151,134,117,112,146,162,146,115,83,61,50,208,224,218,217,216,213,211,211,192,198,199,202,205,208,215,207,167,148,128,117,109,126,145,132,100,81,38,122,236,218,220,217,215,213,213,213,190,195,198,200,205,208,210,214,191,152,129,114,113,118,135,129,99,78,43,183,227,217,217,215,214,212,210,209
21,132,135,140,146,150,155,158,162,164,166,168,170,171,172,171,171,172,170,169,169,168,167,166,164,163,163,160,158,134,136,141,148,154,157,160,163,165,168,172,172,173,173,172,173,170,171,174,170,169,169,168,166,164,165,162,160,136,138,143,150,156,159,163,165,167,171,172,175,175,174,176,173,187,162,149,176,171,170,171,169,166,166,165,162,137,140,145,152,157,161,164,167,169,172,175,177,177,177,179,172,210,168,112,180,171,172,171,170,170,168,166,164,139,142,148,154,159,163,166,170,171,173,176,178,179,179,179,172,212,165,107,178,174,173,172,173,165,167,168,166,140,143,148,155,161,164,166,170,172,175,177,179,181,179,180,175,220,164,106,176,175,176,173,198,135,145,174,168,142,145,150,157,163,165,169,171,173,176,179,180,180,180,181,177,227,173,114,175,179,175,182,204,111,144,176,169,143,147,153,160,164,168,172,172,176,179,181,182,181,182,183,179,232,174,121,176,182,173,197,189,106,158,175,171,143,146,154,160,164,169,171,175,179,181,182,184,184,184,183,182,234,166,124,177,183,177,213,170,111,168,174,171,145,147,155,162,166,170,174,177,179,181,183,185,185,184,181,192,245,171,126,175,182,185,226,161,122,178,175,174,146,150,157,163,168,172,175,179,180,182,185,187,183,203,196,176,232,190,132,177,180,204,224,145,135,184,176,175,148,151,157,165,169,174,177,179,182,185,186,185,190,251,217,158,138,177,135,181,183,230,208,126,148,186,177,177,149,152,160,167,170,176,180,181,184,185,192,219,180,214,239,175,100,118,139,182,202,234,183,115,166,184,179,179,149,153,161,169,175,179,182,185,187,181,223,255,193,147,226,174,100,91,136,186,213,214,155,124,185,181,180,179,150,155,163,170,176,179,183,186,189,187,239,255,226,134,176,185,107,81,109,158,187,191,131,149,190,182,181,180,152,157,164,171,178,180,185,188,189,197,237,223,235,127,144,219,155,94,83,116,146,151,121,180,188,184,183,181,153,158,167,173,178,182,186,190,189,205,247,212,220,164,117,221,206,135,82,102,134,115,129,195,187,186,185,183,153,159,169,174,179,183,187,192,188,227,255,208,190,184,105,174,215,175,109,78,112,99,139,198,188,188,187,184,154,159,168,175,180,185,188,195,189,241,241,183,157,138,122,132,206,207,158,89,88,92,155,198,190,190,188,187,156,160,169,177,183,186,190,196,191,246,241,183,147,149,158,162,202,233,195,130,84,91,179,198,192,192,190,189,156,162,170,178,183,188,193,197,194,250,241,182,146,166,173,222,227,233,220,167,103,104,198,196,194,195,192,189,155,162,171,179,184,188,193,197,197,250,241,185,150,179,192,246,236,225,211,186,129,118,205,197,197,196,193,191,154,161,171,177,183,188,193,197,197,250,244,181,166,180,208,255,243,226,190,168,129,121,205,197,196,195,194,191,155,161,171,179,186,189,194,199,198,249,247,179,194,176,229,255,245,219,191,139,104,128,207,198,198,196,195,193,155,162,172,180,186,190,195,201,199,243,243,196,214,175,234,255,241,215,184,130,94,152,210,200,199,197,195,193,156,163,172,178,185,190,195,201,197,234,242,221,220,174,226,255,227,201,162,124,100,182,206,200,200,198,195,193,154,162,172,181,187,192,197,203,201,225,249,234,218,172,215,245,203,175,141,110,119,210,206,205,203,202,201,194,148,153,159,162,166,169,172,176,175,192,248,229,209,168,190,227,182,150,129,106,125,175,170,169,167,167,163,173
16,155,164,169,170,176,183,188,193,197,202,208,210,214,216,219,222,223,226,228,230,232,233,235,237,237,236,236,238,157,166,169,171,177,183,190,195,198,203,209,212,215,220,220,222,226,227,230,232,235,236,238,238,238,237,238,240,161,168,170,173,178,184,191,195,201,206,211,214,218,221,223,226,228,230,232,234,238,238,238,240,240,240,241,242,160,169,171,175,179,186,193,198,203,209,213,216,221,223,227,229,231,232,235,237,238,238,240,241,243,244,244,245,162,169,173,176,182,189,194,201,204,210,214,215,221,225,226,229,232,233,237,238,238,239,242,241,243,246,247,246,165,172,175,177,184,190,196,202,207,213,212,227,224,223,240,228,228,241,238,238,240,240,243,244,247,248,248,248,168,175,177,180,186,192,199,205,210,210,227,255,255,255,255,236,200,203,241,249,244,243,244,247,248,250,251,250,168,176,178,181,188,193,200,208,201,255,255,255,255,255,255,238,203,160,152,200,240,253,247,248,249,252,253,252,169,177,178,182,189,196,202,203,235,255,255,255,255,255,255,223,174,159,132,125,146,197,250,252,249,253,254,254,172,178,180,183,192,200,197,236,255,255,255,255,255,250,232,190,157,164,133,140,128,123,162,248,255,253,255,255,171,177,181,184,191,201,195,255,255,255,255,255,254,217,185,151,153,151,138,150,136,132,119,147,251,255,255,255,171,178,180,185,193,202,199,255,255,255,255,255,228,178,145,144,125,151,148,156,143,134,132,116,156,255,255,255,174,180,183,187,195,204,202,255,255,255,240,218,177,145,132,97,73,158,151,154,146,138,129,131,118,176,251,255,175,182,185,189,196,206,200,255,255,255,241,181,133,111,53,23,72,153,149,158,144,136,132,136,120,31,117,255,178,184,185,189,197,208,200,255,255,255,236,153,121,69,10,15,72,153,161,167,141,132,134,133,66,22,135,255,179,184,186,190,197,206,203,242,255,255,210,133,99,62,29,52,74,125,185,159,139,130,136,80,36,20,197,255,178,184,187,190,198,207,209,226,255,255,180,123,112,114,82,95,94,140,216,134,136,137,92,20,44,25,237,255,180,186,187,191,199,208,209,229,255,228,145,133,139,126,118,109,98,226,202,129,138,90,5,28,36,40,255,255,181,187,187,192,201,210,208,250,255,195,145,150,140,137,141,97,183,255,180,140,95,16,24,45,18,65,255,255,183,187,188,194,203,213,206,255,255,162,181,130,79,106,106,116,255,254,177,123,57,34,43,30,12,101,255,255,184,188,188,195,203,213,205,255,255,129,214,125,92,102,80,139,255,255,200,91,51,39,26,29,11,167,255,255,182,186,189,195,203,208,220,255,183,151,232,122,119,129,105,125,255,255,214,74,41,32,22,34,14,200,255,255,181,185,187,193,204,206,225,217,158,229,213,122,133,136,133,111,225,255,217,82,23,27,29,37,19,194,255,255,182,187,189,194,205,211,215,216,226,242,198,126,141,143,142,111,98,186,146,39,21,28,32,39,23,202,255,255,183,187,189,195,204,212,217,224,224,241,188,132,139,139,113,67,31,29,30,26,31,31,33,38,23,211,255,255,184,188,190,196,204,211,217,224,227,242,178,124,127,117,68,33,37,40,40,42,39,39,34,38,17,144,255,255,185,189,191,196,205,212,220,227,229,244,188,131,113,92,52,43,54,56,57,56,49,43,37,40,17,148,255,255,184,188,193,196,205,213,220,225,232,233,164,135,118,97,70,59,67,66,67,62,54,48,40,43,17,179,255,255
7,163,164,167,168,169,171,171,172,173,173,173,174,174,175,175,174,173,174,174,173,174,173,172,171,170,169,167,167,165,166,168,170,171,172,173,175,175,174,175,175,176,176,176,176,175,175,175,175,175,176,174,173,172,170,169,168,167,169,170,171,172,173,175,176,176,176,176,176,176,176,176,177,177,177,176,176,176,177,176,175,174,172,171,170,167,169,171,172,174,175,175,176,178,177,178,178,178,178,178,179,178,179,179,178,177,178,177,176,176,174,173,172,169,170,171,173,175,176,177,178,179,179,179,180,180,181,181,181,181,180,180,180,180,179,179,178,177,176,175,174,170,171,174,175,176,178,179,179,180,181,181,181,181,182,181,181,182,181,182,181,182,181,180,179,178,177,176,175,170,173,176,177,178,179,180,180,182,182,182,183,183,183,182,182,182,183,183,183,183,182,181,180,179,179,178,177,172,175,177,178,180,180,181,182,183,183,183,183,183,185,185,184,185,185,185,184,184,183,182,182,181,181,180,178,175,176,178,179,181,182,183,184,185,184,186,187,185,185,186,187,186,186,186,186,185,184,183,183,182,181,181,180,175,176,179,181,183,184,183,183,187,188,180,183,186,186,186,187,187,188,188,187,186,186,183,183,185,183,182,181,175,178,180,181,182,183,187,192,197,193,165,153,169,180,179,178,181,183,179,182,177,182,172,201,188,178,184,182,177,179,180,184,188,194,195,196,197,196,184,145,146,163,170,170,168,162,164,166,165,170,161,167,156,181,186,184,177,183,191,196,197,195,193,189,184,183,172,144,136,145,159,167,168,169,165,158,161,162,152,158,155,177,185,182,194,198,197,197,192,188,183,174,171,182,183,152,131,128,131,140,150,155,147,152,157,158,155,166,160,166,163,172,203,196,193,187,181,178,175,176,179,186,183,154,135,140,139,134,126,115,141,148,146,146,143,144,151,151,159,184,200,194,186,178,172,169,170,170,176,182,166,142,129,133,145,150,142,127,151,200,191,188,188,188,187,189,192,190,196,192,186,177,170,169,170,166,166,177,175,146,120,119,131,134,137,128,139,199,193,194,194,192,192,192,190,190,193,191,188,181,175,173,174,174,172,182,183,153,135,141,140,134,132,111,181,200,194,195,194,193,193,192,192,191,189,185,184,182,180,177,174,173,172,176,176,155,143,150,147,142,129,149,204,195,195,194,194,194,194,193,193,191,178,177,179,181,182,178,173,170,170,164,149,140,126,123,130,136,118,188,197,196,197,195,195,195,193,192,192,196,117,128,150,175,180,172,164,155,145,137,134,132,90,86,104,119,140,201,197,197,197,196,194,194,195,199,196,149,59,61,72,98,133,146,137,143,151,170,189,199,131,102,125,144,190,200,198,198,198,197,196,201,187,171,146,104,59,55,52,51,52,78,177,194,200,202,199,202,191,172,191,201,201,199,199,199,198,201,200,166,122,108,96,90,54,51,50,51,35,95,211,194,197,197,198,199,200,203,200,198,199,199,198,198,201,186,127,97,103,102,94,86,50,48,45,46,32,88,210,195,198,199,199,199,199,198,199,200,200,199,198,202,204,132,90,74,86,89,84,83,48,47,47,50,25,82,206,190,196,197,198,199,200,200,201,202,203,202,205,191,128,111,97,71,66,82,79,76,54,54,51,42,21,59,135,129,131,135,136,138,141,143,144,146,147,146,154,134,80,102,96,64,60,69,72,70,62,57,46,28,25,54,112,107,107,108,109,109,109,110,112,110,110,113,126,113,72,96,91,61,56,64,66,68
24,207,210,211,213,213,214,214,214,215,215,216,216,216,217,215,215,217,216,215,215,214,213,210,214,121,20,6,11,210,213,214,215,216,217,218,218,219,219,220,220,220,220,219,219,220,220,220,218,216,215,217,194,92,31,23,15,214,216,218,219,219,221,221,222,222,222,223,223,222,223,223,222,223,223,223,222,221,218,221,197,70,30,38,51,217,218,221,223,223,224,224,224,225,225,226,225,226,226,226,225,225,225,224,224,224,222,222,215,92,33,60,53,219,221,222,223,224,226,228,228,229,228,228,229,229,228,229,231,230,229,229,228,226,225,221,231,154,35,59,32,221,223,224,227,227,229,231,231,231,231,232,232,232,232,232,233,233,232,232,231,230,229,227,227,210,69,43,24,224,226,227,229,230,232,233,234,232,232,233,233,234,234,234,235,235,235,234,233,232,232,231,227,240,121,32,21,226,228,231,231,230,226,237,234,234,235,235,235,236,238,237,237,239,238,238,237,235,232,233,230,239,183,24,19,228,229,233,233,238,172,217,241,236,238,238,239,239,239,239,239,240,240,240,241,238,236,236,234,236,220,133,132,229,230,234,234,237,161,165,251,236,239,239,240,240,240,241,241,241,242,241,240,240,239,238,237,237,224,160,222,230,232,236,237,242,188,118,236,242,240,241,240,240,242,241,242,242,241,241,246,242,240,241,238,241,220,185,242,232,234,237,239,240,216,127,181,253,238,241,241,242,245,248,244,245,250,247,217,236,245,239,241,240,237,217,178,233,235,239,239,241,238,180,122,237,245,242,243,245,236,222,250,236,207,255,190,155,239,243,241,241,239,216,144,233,237,239,240,241,245,218,142,161,251,246,240,255,238,176,228,234,136,194,230,117,211,253,241,239,229,183,148,235,240,240,241,242,245,234,203,154,194,253,238,255,255,222,176,223,161,170,242,133,212,255,239,251,222,145,112,234,238,240,239,242,244,242,220,183,168,223,247,242,255,255,162,191,200,159,231,158,210,255,241,255,170,118,193,233,237,239,239,241,242,243,237,211,223,207,221,214,238,255,187,145,206,158,239,160,182,224,241,231,114,196,255,234,238,240,241,241,242,244,241,255,242,214,189,176,174,247,215,124,165,176,236,184,113,191,233,167,144,250,236,234,237,240,241,241,242,246,244,255,255,196,173,146,129,192,228,120,151,196,209,220,125,210,194,134,223,246,239,233,237,239,240,240,242,245,246,246,255,255,204,145,153,163,212,152,144,226,148,177,204,206,145,147,251,241,241,242,246,248,248,249,249,250,253,251,255,255,255,204,143,159,195,186,125,227,154,232,226,189,120,197,253,241,241,185,190,193,199,204,209,215,221,221,239,255,255,255,188,144,194,231,191,223,245,248,187,160,145,255,255,249,244,107,107,109,111,111,112,114,115,111,136,255,255,255,233,172,158,234,255,255,255,218,174,142,130,170,170,196,219,117,118,119,119,117,117,118,118,120,106,220,255,255,255,201,167,180,255,255,240,197,160,124,136,169,208,238,253,118,116,116,116,119,119,119,120,121,113,141,255,255,255,215,176,168,235,255,214,190,130,138,255,255,252,254,255,116,115,115,115,118,118,118,120,121,124,106,222,255,223,186,161,167,202,222,192,155,114,185,222,230,250,241,249,115,117,117,116,116,116,117,120,120,123,106,187,255,199,192,179,175,191,202,176,122,134,241,200,189,218,231,232,113,115,115,117,118,117,117,119,119,120,109,166,255,228,224,204,188,193,200,163,104,150,236,219,154,177,213,229
14,169,173,176,180,184,186,188,190,193,194,194,196,198,198,199,199,199,198,199,198,198,198,197,196,196,195,194,194,168,174,178,181,185,188,189,191,193,193,195,197,198,199,200,200,199,199,200,199,199,199,198,197,197,196,195,195,170,174,179,183,187,187,190,193,195,195,197,198,200,200,201,203,202,200,200,200,200,199,199,198,198,198,197,196,171,176,181,184,187,189,191,194,196,197,199,200,201,202,202,204,204,202,202,201,201,201,200,199,199,200,198,197,172,177,182,185,187,191,193,195,198,198,200,202,201,202,208,201,204,203,201,205,205,201,201,201,201,200,199,199,172,177,181,186,189,192,193,197,198,199,201,205,198,231,247,229,231,221,196,183,194,207,200,201,202,201,200,199,172,179,184,187,191,192,194,198,199,200,202,201,209,249,245,246,233,218,206,192,181,180,204,205,200,201,201,200,174,181,185,188,191,194,197,198,201,201,205,199,239,254,226,204,184,161,165,180,173,121,135,200,204,202,202,202,175,181,186,190,192,195,198,199,202,205,204,208,255,245,188,129,118,118,121,137,136,128,118,131,206,205,203,202,176,182,186,190,194,197,199,201,202,207,199,232,255,227,158,102,110,119,104,111,132,157,142,99,152,212,204,205,177,183,187,191,194,198,200,201,204,205,201,255,246,186,115,90,116,122,108,116,120,122,129,147,125,169,210,203,180,185,188,192,196,199,200,201,205,201,225,255,204,136,94,93,92,100,118,117,123,125,138,155,150,159,166,207,181,185,189,193,197,199,201,205,205,207,255,252,187,138,115,111,104,94,120,125,171,156,148,138,189,166,152,211,181,187,191,195,198,200,202,207,201,231,255,239,182,140,126,116,115,118,107,173,221,215,208,191,204,139,159,216,182,188,192,196,200,202,204,209,200,248,255,231,174,136,126,114,115,119,137,217,214,213,213,195,199,138,157,217,182,187,192,197,200,203,206,209,203,255,255,228,165,127,115,107,116,112,175,221,213,217,209,190,192,141,142,215,183,188,193,197,201,203,207,207,205,255,255,228,175,129,109,108,106,92,189,229,213,220,193,181,182,151,139,208,184,190,194,198,202,203,206,206,211,255,255,226,176,130,109,98,98,95,114,189,225,214,178,185,171,146,165,214,184,188,193,198,202,205,209,205,225,255,255,221,177,133,102,94,106,118,114,117,152,162,185,196,171,147,206,214,185,189,194,198,202,206,211,203,242,255,252,217,178,135,102,92,106,115,120,134,132,149,189,183,149,179,219,212,183,190,195,198,203,207,211,204,255,255,246,211,181,139,106,98,108,115,132,154,158,154,179,158,160,218,214,213,182,187,195,198,202,206,208,207,255,255,236,208,195,141,113,114,125,135,153,162,154,149,154,142,201,219,214,214,182,190,196,200,203,206,207,211,255,255,226,222,199,135,127,119,136,151,164,156,148,143,133,171,221,215,215,214,184,191,196,200,204,207,206,215,255,247,230,233,196,150,139,118,140,159,164,151,142,134,179,220,218,218,218,216,184,191,197,200,204,208,207,217,255,249,239,238,205,165,142,123,135,156,158,146,133,152,225,219,219,219,218,216,184,191,197,201,204,209,206,224,255,255,250,242,208,167,143,129,131,150,148,141,132,196,224,219,221,219,217,214,184,190,195,200,204,208,204,229,255,255,255,234,195,160,143,134,133,142,141,131,174,224,220,221,220,218,217,214,182,187,193,197,201,206,202,234,255,255,249,211,177,152,142,137,139,140,136,172,223,220,220,220,218,217,215,214
24,204,207,208,211,214,217,217,218,219,220,221,222,222,223,223,223,223,223,222,222,221,221,222,220,220,218,217,216,206,209,211,215,216,220,220,220,222,223,223,224,224,225,224,225,226,226,225,224,224,224,224,222,222,221,219,219,207,210,213,216,218,221,222,223,224,226,226,227,227,227,226,227,228,228,229,228,226,225,226,225,224,222,220,220,209,212,214,216,219,221,223,225,227,228,229,229,230,229,229,230,231,229,230,229,228,228,228,228,226,226,225,223,210,212,215,219,219,222,227,227,229,230,230,231,230,231,232,233,233,232,233,231,231,232,231,230,230,229,228,225,213,215,218,222,223,229,225,229,230,231,231,231,233,234,234,235,235,236,237,234,231,233,232,232,232,231,229,227,215,217,223,220,243,255,194,230,233,234,233,235,237,237,235,236,237,234,236,237,235,235,235,235,233,232,231,230,218,220,224,224,241,255,192,212,239,236,236,235,239,236,236,239,239,255,255,217,236,238,237,237,236,236,235,232,218,222,225,230,227,255,226,193,240,239,236,247,234,242,255,236,214,255,255,200,194,245,237,237,238,238,237,235,219,223,227,231,228,246,255,218,214,241,250,255,242,242,255,255,195,255,255,214,158,235,242,239,240,238,237,237,221,225,229,231,234,232,255,253,194,225,255,255,255,232,255,255,207,236,255,217,149,222,248,242,241,242,242,221,223,227,230,234,237,234,250,255,248,227,253,255,255,231,255,255,207,209,255,202,139,216,250,245,242,251,232,181,225,229,232,236,237,240,237,255,255,255,255,255,255,242,220,255,220,173,228,185,131,192,255,244,229,237,204,164,227,232,234,237,239,243,241,247,255,255,255,255,255,235,188,248,230,152,182,194,131,140,232,220,231,225,164,200,229,232,235,238,240,243,245,242,255,255,255,255,255,227,183,203,216,159,178,210,145,183,204,233,234,171,185,250,230,234,237,239,242,243,246,244,255,255,250,225,224,246,227,173,230,185,159,217,236,255,246,228,194,169,243,249,232,236,239,241,243,245,247,248,255,255,255,236,229,243,236,208,229,197,201,255,255,255,233,197,160,206,255,246,233,238,240,242,245,248,251,251,252,255,255,255,229,233,255,255,250,252,255,255,255,250,222,180,171,244,253,251,235,237,241,244,246,248,251,253,248,255,255,255,242,231,255,255,255,255,255,255,255,238,209,164,205,255,253,252,236,240,243,245,248,250,252,254,249,255,255,255,255,246,249,255,255,255,255,255,255,227,183,164,246,255,255,253,237,241,243,244,249,252,254,255,254,255,255,255,255,255,255,255,255,255,255,255,252,220,166,201,255,255,255,254,238,242,243,247,250,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,206,172,251,255,255,255,255,239,243,246,250,251,253,255,255,255,255,255,255,255,255,243,255,255,255,248,226,199,159,215,255,255,255,255,255,239,245,247,250,253,255,255,255,255,255,255,255,255,242,225,229,237,243,225,198,153,167,255,255,255,255,255,255,240,243,246,250,252,253,255,213,195,200,210,250,232,227,232,238,253,241,216,183,133,233,255,255,255,255,255,255,240,244,248,250,251,254,255,184,157,159,137,132,131,139,136,141,137,127,127,123,112,167,216,255,255,255,255,255,240,245,249,251,253,255,255,200,160,164,142,128,119,106,96,87,78,77,74,73,79,57,133,255,255,255,255,255,242,245,249,252,254,255,255,212,161,159,140,125,119,109,101,92,85,82,81,78,78,70,224,255,255,255,255,255
15,156,165,175,183,189,190,195,202,208,213,218,221,225,228,231,233,237,240,242,243,245,247,248,248,248,249,251,251,156,167,176,185,189,191,196,204,210,215,218,222,226,230,233,235,238,240,243,245,247,249,249,249,250,252,253,252,159,170,178,186,191,192,198,206,210,215,220,225,227,232,234,238,240,243,245,247,248,249,251,252,253,254,255,255,161,170,179,187,192,194,200,208,212,218,222,225,229,233,236,239,241,244,247,248,250,251,253,255,255,255,255,255,161,172,182,190,194,196,203,208,215,221,223,227,232,236,239,241,243,246,248,249,251,254,255,255,255,255,255,255,162,172,185,188,191,195,203,210,218,223,226,231,235,237,241,244,245,247,249,252,254,255,255,255,255,255,255,255,164,175,180,213,228,207,208,211,219,223,228,233,237,238,241,246,248,249,252,255,255,255,255,255,255,255,255,255,165,177,178,255,255,228,226,218,223,229,229,229,233,240,245,248,248,252,254,255,255,255,255,255,255,255,255,255,166,178,184,230,243,224,223,213,233,236,232,226,212,217,233,238,244,253,255,255,255,255,255,255,255,255,255,255,167,178,189,196,206,202,196,194,216,221,224,225,217,226,222,225,230,241,248,237,243,255,255,255,255,255,255,255,170,179,191,200,202,202,207,209,215,213,208,206,215,228,224,216,211,224,245,236,225,211,230,255,255,255,255,255,171,181,194,200,202,206,215,222,228,230,225,219,218,214,208,200,197,222,236,251,229,209,194,214,255,255,255,255,171,184,195,202,205,207,216,223,227,233,238,242,245,242,232,214,224,242,236,239,233,219,223,201,202,255,255,255,173,185,195,204,206,209,217,224,229,234,238,241,246,252,255,255,255,250,206,212,254,216,232,232,193,191,255,255,174,185,197,205,208,211,218,225,231,236,238,251,253,222,224,255,255,232,172,179,255,211,236,235,227,179,190,255,175,186,199,207,208,211,220,226,232,238,237,255,251,207,209,255,255,233,191,196,232,227,240,231,219,197,163,184,178,189,199,207,209,212,221,227,233,239,241,255,225,204,217,255,255,227,196,204,200,210,226,210,197,196,182,163,180,191,200,209,209,213,221,228,235,240,245,248,246,209,223,255,255,216,200,211,211,208,219,202,175,186,186,183,178,191,202,209,210,214,221,231,235,241,247,244,255,255,206,181,186,186,210,227,222,225,229,208,185,188,187,183,179,191,203,210,212,215,224,231,236,241,249,245,255,255,237,143,99,85,101,141,208,223,222,206,203,199,181,171,181,192,204,211,213,217,225,231,237,243,250,246,255,255,235,156,124,106,77,58,126,207,203,194,178,156,137,121,182,193,204,211,213,218,226,232,238,243,250,249,255,255,213,157,177,168,136,104,86,137,147,131,111,102,96,86,183,195,205,210,212,219,226,232,239,244,251,252,255,255,221,184,219,198,192,184,132,108,104,103,99,97,97,91,181,195,204,209,210,218,223,231,237,242,249,253,255,255,246,178,233,205,198,160,119,111,108,107,102,99,97,94,181,193,203,208,210,217,225,233,238,244,248,253,251,255,255,166,255,255,211,136,109,106,107,107,103,100,98,95,181,194,205,209,212,219,227,234,240,246,250,255,251,255,252,158,255,255,222,125,105,105,106,107,103,100,102,103,182,195,206,210,213,219,228,235,241,247,250,255,255,255,202,226,255,255,237,127,117,112,108,103,103,102,103,102,182,196,207,212,215,220,228,234,242,247,251,255,255,255,255,255,255,255,255,167,126,119,111,104,103,103,102,98
2,167,169,170,171,174,176,176,176,177,176,176,177,176,176,174,170,170,172,170,171,170,169,168,168,167,166,164,163,169,170,172,174,176,177,177,178,178,178,177,178,177,173,177,192,202,194,174,166,168,170,171,169,169,168,167,165,170,171,173,177,177,177,178,178,179,179,180,176,179,197,219,223,209,198,198,151,128,125,150,171,169,169,168,166,172,173,174,176,178,179,179,178,180,181,177,188,231,218,219,218,191,160,149,120,93,95,88,153,174,170,168,168,173,175,177,177,179,181,182,182,181,183,173,221,229,212,219,181,136,108,103,95,92,95,78,135,178,168,170,170,174,175,178,179,180,181,182,183,183,180,183,239,227,215,167,122,88,80,86,85,94,95,117,165,175,172,172,171,175,177,178,180,183,184,183,185,185,177,201,248,224,158,106,89,76,89,93,130,165,164,176,177,176,174,172,172,176,178,179,183,183,184,185,186,188,178,211,244,198,122,81,87,85,92,147,182,181,180,178,176,175,175,174,173,178,179,182,183,183,185,185,187,189,181,236,230,159,93,71,80,82,98,185,179,178,178,178,177,176,176,175,174,179,181,182,183,185,186,187,189,182,205,246,183,111,72,70,66,80,103,183,181,181,180,179,178,178,177,175,175,178,181,183,184,186,188,188,188,189,243,220,147,96,82,86,77,69,121,190,181,182,181,180,179,179,178,176,176,179,182,184,186,188,188,191,184,228,252,196,140,107,98,95,92,77,139,193,182,183,182,180,180,180,179,177,177,181,183,185,187,190,191,191,192,255,240,180,129,102,106,97,96,85,146,193,182,184,184,182,180,181,181,177,176,183,185,186,189,190,192,187,211,255,222,159,117,106,105,95,99,91,150,195,184,186,184,184,182,181,184,182,178,184,186,187,191,192,195,186,233,255,207,146,110,101,98,94,100,92,157,195,186,187,186,186,186,185,174,163,172,185,187,189,192,193,194,192,255,249,194,141,108,97,98,98,101,86,154,197,187,188,186,188,184,167,166,128,132,186,188,190,193,197,188,219,255,231,183,134,104,94,95,94,94,81,126,201,189,189,190,186,163,171,151,113,171,189,190,192,194,198,191,251,255,219,175,131,100,91,89,89,96,88,93,192,193,191,192,157,159,168,111,148,189,190,192,194,197,192,211,255,245,209,167,124,98,89,85,92,100,100,82,145,205,190,152,145,166,131,111,184,183,191,192,194,199,191,234,255,234,198,160,122,96,87,88,93,97,101,96,91,133,144,141,156,147,110,132,192,183,192,193,195,198,195,252,254,224,195,158,119,97,86,95,95,91,96,98,94,96,134,164,154,125,120,173,189,185,193,194,197,196,207,255,243,220,195,153,121,102,91,103,102,100,105,106,103,119,153,162,140,125,177,192,187,186,193,195,199,194,231,255,238,226,199,159,133,108,96,112,116,120,118,118,111,123,154,136,129,181,196,191,188,186,193,197,198,198,254,255,241,227,202,167,139,113,102,120,128,132,120,116,114,121,125,135,188,195,192,193,189,187,195,198,196,210,255,252,239,222,187,153,136,118,108,122,131,132,123,116,109,113,134,191,199,195,194,192,191,189,195,201,190,230,254,244,233,203,163,133,124,118,117,127,128,125,121,107,134,179,196,199,196,194,193,193,190,187,197,195,214,255,240,228,206,168,135,128,124,115,118,121,120,118,108,144,200,203,198,198,197,194,194,194,190,187,195,203,255,242,222,209,185,139,130,131,125,120,118,114,113,120,163,204,203,198,199,199,196,195,195,193,191,190
11,157,156,156,156,155,154,155,155,152,155,152,150,150,149,148,147,145,144,143,142,139,138,137,136,134,133,131,133,160,159,159,159,159,158,159,157,160,132,151,154,152,152,151,150,148,147,145,144,143,141,139,138,136,135,138,121,163,163,162,163,163,163,163,161,171,119,115,165,156,156,154,152,151,150,149,147,145,144,142,139,139,138,88,36,167,167,167,166,166,167,166,166,163,146,87,149,164,159,157,156,154,152,151,149,147,147,144,142,138,72,19,19,170,170,170,170,171,170,169,169,166,158,98,116,171,161,162,159,158,156,155,153,152,150,147,151,94,35,29,30,174,173,173,173,174,173,173,172,170,159,108,95,174,164,165,163,162,159,158,156,155,152,153,144,53,48,41,28,176,177,177,177,176,176,175,175,173,163,139,84,161,172,167,165,165,163,162,160,158,155,159,134,43,48,41,37,178,179,179,178,178,177,179,178,176,178,153,81,144,178,170,169,168,165,164,163,161,157,162,130,44,39,26,30,182,183,182,181,181,181,181,181,178,180,161,84,127,184,171,172,171,168,166,165,164,159,166,116,34,41,22,35,184,184,184,183,184,183,182,183,181,165,159,101,105,184,174,173,172,171,170,168,166,161,172,104,27,37,21,27,185,185,184,185,185,186,185,184,186,166,159,140,86,163,184,180,174,174,172,170,169,165,173,93,26,34,18,24,187,187,188,188,187,188,188,186,189,179,166,172,104,141,122,151,182,174,174,173,172,169,167,63,27,17,19,35,189,189,189,189,190,189,188,188,188,184,164,172,181,173,86,86,188,176,177,176,173,172,170,78,68,77,66,42,190,191,190,191,190,190,191,189,191,192,170,177,154,125,98,68,174,182,178,177,175,172,164,148,144,137,121,74,192,191,191,192,192,192,193,192,183,153,175,188,136,62,86,70,146,190,179,178,176,166,164,160,141,102,78,62,193,194,194,194,194,196,192,183,177,107,94,159,131,68,71,74,111,192,178,181,167,171,172,151,101,90,73,42,195,195,195,196,197,195,184,187,170,119,81,97,135,88,64,75,77,186,190,176,152,163,160,100,80,136,130,36,196,196,198,197,195,184,191,171,131,133,110,75,114,108,59,75,71,130,167,139,147,154,111,97,142,149,139,85,198,197,198,199,188,184,169,128,81,113,115,80,84,112,62,69,82,61,86,125,144,121,95,179,133,107,122,121,200,200,200,200,186,182,167,135,75,80,128,55,51,115,76,60,113,91,88,122,125,83,157,185,165,50,104,123,201,203,201,202,181,183,169,130,86,73,102,31,38,121,76,53,131,104,85,111,80,110,190,175,185,133,121,133,203,202,202,203,190,177,167,150,136,90,54,43,41,119,102,70,84,98,99,88,71,175,185,180,178,181,151,119,203,203,203,204,201,178,174,164,145,115,77,63,81,125,122,85,97,140,105,60,141,195,182,182,178,181,155,114,204,205,205,205,206,187,172,163,157,130,101,74,90,148,131,94,122,113,81,69,183,188,185,182,180,181,159,95,204,205,205,205,207,195,176,165,153,132,104,88,81,129,155,137,119,98,60,105,200,186,185,184,182,183,162,86,204,204,205,204,204,201,171,164,143,131,111,96,86,109,133,125,113,83,54,168,194,186,184,184,181,185,155,121,205,205,205,205,203,208,181,155,148,134,120,106,91,90,109,102,93,52,124,198,185,186,184,183,186,175,135,133,206,206,206,207,204,206,201,156,147,136,128,112,89,77,88,81,57,99,197,188,188,186,184,182,141,128,127,133
20,186,189,191,192,194,196,196,196,198,197,198,198,197,196,195,195,194,194,192,193,191,189,189,187,186,185,185,184,187,190,192,193,195,197,197,198,199,200,199,200,198,198,198,196,195,194,193,182,191,191,190,188,188,187,187,186,188,190,193,195,196,198,198,200,200,201,202,200,199,198,199,199,196,195,205,145,153,203,191,190,190,189,188,188,189,191,194,195,196,198,200,201,201,202,202,200,200,201,200,200,197,199,206,138,139,181,189,193,191,190,189,188,190,192,194,196,197,199,201,201,203,203,202,201,201,201,201,200,198,206,195,135,113,137,151,199,191,190,189,190,191,194,196,198,198,200,202,202,204,205,204,203,203,202,202,203,198,213,191,124,132,158,135,199,192,193,190,190,192,195,196,199,199,202,203,204,206,206,205,205,204,203,203,203,201,215,186,124,168,162,133,199,194,193,192,191,193,195,198,200,201,203,204,206,207,207,207,206,205,206,204,203,203,214,174,126,189,165,138,199,196,195,194,193,194,197,199,201,202,204,206,206,208,209,208,209,209,207,209,208,207,210,160,138,198,158,145,202,196,196,195,194,195,197,200,202,204,204,206,207,209,209,209,210,210,204,171,181,221,209,153,159,202,147,148,206,197,197,196,195,197,199,200,203,204,206,208,209,210,211,210,208,207,209,169,128,193,203,142,176,209,142,155,208,199,200,197,197,196,199,202,204,205,207,210,210,210,212,209,215,213,208,203,168,144,141,117,175,197,135,167,208,200,200,199,199,197,200,204,206,207,208,209,210,213,213,211,223,221,213,225,208,161,115,93,149,169,130,178,208,203,201,200,200,200,202,204,208,208,210,211,213,214,212,218,208,170,200,200,204,163,122,109,126,134,121,190,207,203,201,201,200,200,203,205,207,210,210,212,214,214,212,225,200,144,185,181,198,185,140,114,110,118,118,198,207,203,202,202,200,201,203,206,207,210,211,214,214,214,214,228,210,174,151,129,179,203,155,120,108,109,124,205,207,205,203,203,203,202,204,206,208,209,212,215,215,215,216,218,179,155,137,100,136,216,170,135,115,105,134,212,206,206,205,204,203,203,204,206,208,210,213,215,217,215,223,215,178,168,149,123,187,218,178,157,125,104,146,216,206,208,207,204,202,202,205,207,209,211,213,215,217,215,228,210,190,168,145,189,237,204,174,166,131,109,154,218,207,207,207,205,203,203,205,208,209,212,214,216,216,218,234,220,186,156,174,241,213,185,163,157,132,115,168,217,207,208,207,206,204,204,206,208,210,213,215,218,217,223,245,214,171,166,207,243,204,179,150,141,132,121,190,215,209,209,208,206,204,204,207,209,211,214,215,218,217,227,241,189,189,169,221,233,202,177,152,128,126,131,207,213,211,209,210,208,206,202,204,208,210,213,214,216,215,228,229,207,203,166,231,223,191,167,149,129,122,149,215,211,210,209,209,207,206,202,204,207,209,212,215,216,216,221,229,230,190,187,232,203,176,155,139,131,121,175,217,211,210,209,208,206,205,203,205,208,210,213,214,216,215,219,228,223,190,177,210,192,163,144,131,126,128,200,216,212,210,209,209,207,206,202,206,209,211,213,214,216,216,220,220,200,184,173,189,185,160,147,133,117,149,216,213,213,211,210,209,207,206,201,205,209,210,213,215,217,217,219,209,194,187,187,186,193,177,144,130,114,174,220,212,212,210,210,209,208,207,201,205,208,210,213,215,217,217,218,219,212,212,204,189,186,176,138,123,119,194,218,211,211,210,210,208,208,207
8,144,146,147,147,148,149,149,150,150,148,147,148,148,145,144,144,143,142,141,140,140,138,136,134,133,131,129,128,146,147,148,149,149,149,151,152,152,152,151,149,149,148,146,146,145,143,142,140,140,140,139,137,135,132,130,130,148,148,150,151,151,156,155,154,153,153,154,152,151,151,149,148,147,146,145,143,141,141,140,138,137,135,131,130,149,149,151,157,140,102,154,156,155,155,155,154,153,152,151,150,148,148,147,146,144,143,142,140,139,135,132,131,150,153,152,159,122,52,132,162,155,156,156,156,155,154,154,152,150,149,149,148,145,145,144,142,140,138,136,132,152,154,155,156,96,46,133,166,158,158,158,157,156,155,155,155,155,155,152,150,151,146,145,143,141,140,139,136,154,155,158,154,85,46,152,164,161,161,162,160,158,157,156,155,148,136,152,150,136,149,146,145,143,141,140,138,155,157,159,148,69,50,164,162,163,165,153,162,163,161,163,162,118,74,71,134,90,134,151,145,144,142,140,139,156,157,159,154,77,46,158,166,165,134,88,90,158,131,103,118,121,93,41,82,79,105,159,146,146,144,143,140,158,159,163,157,89,41,151,170,149,120,106,68,92,110,71,47,110,110,67,36,78,72,158,149,149,147,144,142,158,161,163,152,85,33,123,177,140,137,124,90,66,111,81,55,109,107,69,24,61,45,106,160,147,147,145,143,158,162,164,157,121,70,87,179,133,137,138,100,57,100,102,62,95,88,47,18,44,69,44,134,154,147,146,144,160,162,163,163,148,97,66,152,123,118,144,106,55,81,114,59,64,90,64,17,35,75,32,109,160,147,146,146,160,164,164,167,152,98,94,113,107,91,137,102,62,53,103,64,48,115,93,32,51,78,35,136,156,148,148,147,162,163,165,168,164,140,134,102,107,79,111,107,56,34,91,76,29,104,90,24,72,71,49,157,154,151,149,147,163,163,166,167,170,158,130,96,74,73,97,103,62,33,52,52,0,14,29,42,89,55,72,166,153,153,149,148,162,164,167,167,171,159,109,81,58,48,65,111,100,55,20,15,55,64,60,108,101,38,100,168,154,154,150,148,162,165,169,168,171,156,127,103,71,59,57,111,114,69,39,68,119,123,107,98,89,26,126,166,154,154,151,150,163,166,168,170,170,168,145,111,72,56,53,96,98,64,48,108,127,122,111,68,55,31,154,159,155,154,153,153,164,168,170,171,171,165,149,114,82,67,56,80,119,116,119,143,130,111,97,60,20,90,171,156,156,154,153,153,166,169,171,171,171,162,152,124,97,74,63,82,148,156,159,148,121,99,86,42,31,160,163,159,157,156,155,153,167,170,172,172,172,160,146,126,99,72,71,93,155,147,141,132,105,87,74,19,101,175,160,161,158,156,155,154,168,169,171,172,173,156,139,131,103,77,78,103,146,138,135,119,93,79,50,34,164,166,163,161,160,157,155,154,168,171,173,173,176,162,143,137,105,86,81,108,137,137,131,106,83,69,21,102,179,161,163,162,160,159,156,154,168,170,171,173,175,173,151,144,116,96,76,104,130,125,116,93,71,43,33,168,170,166,164,164,161,160,157,155,168,171,172,173,174,175,163,146,118,97,79,94,118,108,96,74,53,10,118,180,167,167,164,164,162,160,156,155,168,171,172,174,176,176,166,141,117,94,84,89,105,97,78,61,18,79,184,170,171,168,165,164,162,160,157,156,169,170,172,174,176,176,166,136,115,99,94,88,96,92,72,43,37,171,175,172,171,169,166,164,162,161,159,157
22,112,117,120,122,123,125,128,130,132,132,133,135,135,135,133,135,137,135,135,134,133,134,133,132,131,130,129,128,116,119,122,124,126,128,130,132,134,132,138,137,137,136,142,131,122,139,136,137,136,136,136,135,132,131,131,130,118,122,124,126,129,130,132,134,136,147,115,132,142,135,163,125,78,144,137,138,139,139,137,137,135,134,133,132,119,123,126,129,132,133,134,136,141,167,83,118,148,139,166,121,84,145,139,142,122,125,141,136,136,136,136,136,121,125,129,132,134,136,137,137,143,161,87,111,151,141,158,113,90,148,141,147,102,90,148,138,139,138,138,137,123,127,131,133,135,137,138,140,142,164,101,101,154,144,152,116,98,151,145,155,96,94,150,141,142,139,140,139,124,128,132,135,137,138,141,144,142,167,120,96,153,147,157,124,100,151,151,157,91,109,152,143,143,141,142,141,127,130,134,137,140,141,143,147,143,169,140,93,148,151,150,120,99,152,161,156,84,128,151,144,145,143,143,143,129,133,137,139,141,143,144,147,145,168,143,83,137,154,148,115,99,156,167,149,82,142,151,147,147,146,145,144,130,135,138,140,142,145,147,149,146,172,167,91,121,158,160,112,101,164,167,126,82,153,151,149,149,148,146,146,131,135,138,141,144,147,149,151,147,163,167,96,115,163,161,102,110,175,174,99,96,161,150,151,151,150,148,147,133,137,140,144,145,147,150,152,168,158,146,115,110,140,156,95,131,182,160,80,126,161,153,153,152,151,150,149,134,137,141,144,147,150,150,158,191,150,161,174,154,109,108,154,156,164,132,76,149,159,156,154,153,153,152,152,135,139,142,147,150,151,152,161,183,140,101,179,175,128,67,121,137,141,100,88,163,157,157,156,155,155,154,153,137,142,145,148,152,154,153,167,170,159,81,88,166,155,108,61,90,103,69,111,167,157,158,157,156,156,155,154,139,144,146,149,153,156,153,179,176,140,101,47,101,176,146,90,60,67,57,137,166,159,158,157,157,156,156,156,141,145,148,151,154,158,155,184,163,122,94,95,93,162,177,127,88,63,57,148,166,161,160,159,159,157,156,156,141,146,150,152,156,158,157,189,175,130,114,123,127,188,173,139,112,63,58,161,165,163,162,161,160,158,157,157,142,148,151,154,157,159,160,191,169,128,118,138,168,200,160,127,102,54,65,169,164,164,164,162,162,160,160,158,143,148,153,155,159,161,162,191,173,143,136,137,187,188,153,110,90,50,93,176,164,166,165,164,164,162,161,158,145,149,154,157,160,163,163,189,179,152,144,137,195,174,139,101,81,48,121,178,166,167,166,165,164,163,162,160,146,150,154,158,161,164,163,185,176,159,152,144,186,157,126,95,74,46,132,178,167,169,168,167,165,164,163,162,147,151,155,158,162,164,164,179,181,166,162,146,177,143,117,90,66,47,144,176,169,170,170,168,167,166,165,164,147,152,156,159,162,166,166,172,180,169,166,145,176,135,110,80,63,55,157,175,170,171,170,169,169,168,166,166,148,153,157,160,164,166,168,171,180,165,152,129,157,127,110,87,57,75,176,173,172,172,171,170,170,169,168,166,149,154,158,162,165,167,169,171,183,156,131,130,158,115,120,93,46,120,183,173,175,174,172,171,170,170,169,167,150,155,159,163,166,168,169,172,195,172,153,151,158,110,127,71,55,168,178,176,175,174,174,174,172,170,170,168,149,154,159,162,166,168,168,172,197,183,169,163,150,109,116,54,88,182,176,176,175,175,174,174,173,171,170,169
8,184,186,186,188,188,188,192,188,189,188,187,187,186,186,185,183,182,182,181,180,179,177,177,175,172,172,170,169,186,188,189,189,190,184,173,191,191,190,189,188,188,187,186,185,184,182,182,182,181,180,177,176,174,172,171,170,189,189,191,190,195,181,115,173,198,192,193,190,189,188,187,187,186,183,183,182,182,181,179,177,175,173,172,172,190,191,192,191,196,164,106,157,203,193,193,191,191,191,189,188,188,187,185,185,183,182,181,179,177,174,174,173,190,192,194,193,197,163,98,161,205,194,195,192,192,192,191,190,190,189,187,186,185,183,182,181,179,175,175,174,192,193,194,196,197,159,91,173,203,196,196,198,196,193,192,191,190,189,191,192,184,185,184,182,180,178,177,176,194,195,196,196,199,160,90,171,205,197,198,186,195,198,195,198,192,153,128,165,164,155,189,182,183,181,179,178,196,197,198,197,202,176,102,159,209,199,180,140,131,191,164,140,158,155,119,95,145,124,190,183,183,181,181,178,197,197,198,199,202,172,95,145,213,191,174,159,122,136,153,114,106,162,141,92,108,117,174,190,183,183,182,180,197,198,200,201,201,174,119,125,210,186,182,173,137,114,155,128,112,162,131,93,85,110,119,192,185,183,183,181,198,200,202,203,202,194,161,118,196,188,177,183,143,102,145,142,107,144,120,88,73,118,98,141,194,184,184,182,198,201,201,202,203,201,167,123,166,169,153,180,146,104,125,149,98,128,154,107,73,122,101,114,197,184,185,183,199,201,202,203,204,205,173,164,155,157,131,166,147,100,102,147,102,121,173,109,85,136,93,140,199,185,186,184,201,202,203,204,205,207,201,182,151,140,133,150,149,106,90,125,98,62,110,79,104,137,88,169,195,187,187,185,202,203,204,205,205,206,205,166,136,112,109,127,162,146,90,73,73,81,71,113,150,124,96,190,191,189,188,187,204,203,204,206,207,208,201,165,143,116,101,104,169,156,109,74,118,163,155,146,155,104,111,203,190,189,187,186,203,204,206,207,208,208,208,187,156,120,105,104,144,138,102,111,166,164,164,134,122,85,135,205,191,190,188,187,202,204,208,208,209,209,206,190,159,129,109,104,133,152,152,172,183,160,152,124,97,79,180,199,193,191,189,188,203,205,207,208,210,210,206,194,166,140,118,104,137,186,195,192,178,153,142,117,70,129,207,194,194,191,190,189,203,205,208,209,210,211,203,192,172,143,120,115,152,195,187,183,165,143,130,101,80,193,200,196,194,193,191,190,205,206,207,209,210,211,198,187,178,147,125,125,162,187,184,179,154,136,120,75,142,210,197,196,195,194,192,190,206,207,207,210,211,212,200,191,183,152,135,129,167,179,183,169,143,127,99,86,200,202,198,197,197,195,193,191,207,208,209,211,212,214,208,196,188,161,139,126,163,172,168,153,129,115,70,150,213,200,200,198,197,196,194,192,206,208,210,211,211,214,211,202,187,161,141,130,153,162,151,136,116,83,96,208,204,203,200,199,198,196,194,191,207,209,211,211,212,213,213,201,179,158,143,136,143,155,142,125,101,73,187,210,203,203,200,200,197,196,195,193,208,210,211,211,211,214,212,201,180,166,157,151,141,150,136,117,75,149,218,203,204,203,201,200,196,196,196,194,207,209,211,213,213,211,209,206,187,180,164,157,146,144,123,93,99,212,208,207,205,204,202,199,197,197,195,193,208,210,212,212,215,206,201,208,190,185,161,157,146,127,112,78,152,220,207,208,205,203,202,201,199,198,197,194
0,190,192,193,193,194,195,195,195,195,195,194,194,194,194,194,195,195,195,195,195,195,195,196,195,194,194,194,194,193,194,195,194,194,196,197,196,196,195,195,195,196,196,196,194,193,196,197,197,197,197,197,196,196,196,196,196,195,195,196,196,196,196,197,197,197,197,196,196,195,195,204,191,162,167,193,189,190,198,200,196,196,196,196,197,195,195,196,198,199,198,197,198,198,198,202,199,172,164,204,187,156,133,132,147,144,173,189,159,184,199,197,197,196,196,197,198,199,199,198,199,199,200,220,208,171,144,175,192,167,148,94,131,137,127,162,132,166,202,198,199,196,197,198,198,198,199,200,205,186,176,218,208,179,154,168,208,175,156,104,148,147,124,137,132,157,204,201,201,196,198,199,199,200,200,205,224,185,151,181,217,188,161,158,219,188,162,111,161,152,117,112,133,134,204,201,201,198,199,199,200,201,200,215,222,193,166,161,221,195,161,146,219,192,159,107,162,149,105,99,138,103,186,204,202,199,200,200,201,201,212,210,211,203,177,145,204,199,156,130,210,190,147,91,132,134,96,91,142,93,141,206,203,200,201,201,201,203,214,188,201,211,182,138,179,202,152,111,180,177,133,83,107,119,88,93,147,101,119,205,205,201,202,203,201,211,208,176,182,205,179,134,151,192,145,100,145,162,125,86,93,108,79,107,157,114,121,206,206,201,202,202,202,212,204,177,168,187,163,123,124,172,136,92,113,152,121,84,94,111,89,148,172,125,125,207,208,199,200,200,205,213,196,167,142,168,156,117,104,161,132,83,92,149,119,83,112,123,106,174,174,127,132,208,207,198,200,200,202,223,209,174,134,139,152,111,93,154,136,82,87,153,127,131,173,153,124,169,175,127,140,208,206,200,201,201,204,223,212,181,142,110,133,125,94,156,151,96,99,158,164,178,179,161,135,134,158,119,143,209,207,202,202,202,206,226,217,191,159,125,116,131,112,155,165,147,172,189,188,180,168,149,131,116,115,101,137,210,207,202,203,203,206,226,222,199,173,155,144,140,153,173,185,197,202,201,193,177,161,139,121,111,95,86,133,211,207,202,202,203,207,223,223,207,188,174,163,153,156,175,190,202,202,202,194,173,156,137,115,102,92,84,154,212,209,202,202,203,206,219,220,213,200,189,172,161,158,170,188,199,201,196,188,168,151,132,111,96,88,120,196,212,211,202,203,204,200,214,220,221,211,195,176,163,161,171,192,201,201,190,181,164,147,126,106,89,110,189,209,211,211,164,168,172,169,196,219,224,214,196,180,165,160,170,195,202,195,184,174,159,138,117,98,92,172,210,210,211,210,103,104,107,102,149,217,217,208,197,183,170,159,169,191,193,181,168,159,145,127,107,94,106,159,166,168,168,171,103,103,103,98,121,211,206,198,196,188,175,158,166,188,185,169,150,136,125,114,99,96,100,103,102,105,125,153,102,104,104,102,113,204,196,192,198,190,174,158,161,185,181,159,129,111,104,97,97,103,103,107,132,172,205,208,102,103,102,104,111,199,194,193,198,186,173,163,159,178,174,146,110,95,91,95,105,116,142,181,212,217,210,196,102,102,102,104,107,199,205,197,196,182,169,165,154,163,161,131,97,89,89,101,128,189,223,233,226,221,213,195,103,102,102,103,104,197,212,204,195,180,170,169,151,153,153,122,91,84,96,148,209,232,235,230,220,225,227,215,104,103,103,103,105,190,211,209,195,180,170,170,148,146,149,118,88,78,145,215,226,230,232,220,214,222,231,232
16,79,81,84,89,98,107,112,118,123,125,126,128,132,137,140,144,145,147,148,150,152,153,154,156,157,157,159,160,79,81,85,90,98,107,114,120,124,126,127,129,134,138,139,142,145,148,150,151,152,154,155,156,158,158,158,160,80,82,86,90,100,108,115,120,125,126,127,131,134,138,140,144,146,149,150,152,152,154,156,158,159,159,160,161,80,83,86,90,101,109,115,120,125,127,129,132,135,138,142,144,146,149,150,152,154,156,158,159,159,160,160,161,80,84,86,91,102,112,118,122,127,129,131,133,139,143,143,147,152,151,151,154,156,157,159,159,160,161,161,161,81,84,87,93,104,113,120,122,126,129,130,129,130,125,115,109,119,152,154,154,158,159,160,160,162,163,163,163,82,85,88,95,105,113,116,124,133,128,117,105,95,84,77,80,74,92,151,160,158,160,162,163,164,164,165,165,83,85,87,96,104,112,128,143,136,115,89,86,84,74,67,76,84,65,82,154,163,160,164,166,166,166,166,167,83,87,90,93,104,136,149,125,102,84,68,79,80,70,66,75,79,71,71,85,166,162,166,166,166,167,168,168,84,88,80,110,138,131,99,86,81,70,67,82,80,68,71,78,77,70,87,58,112,175,164,167,167,169,169,169,83,82,119,149,114,86,70,73,73,58,76,88,78,70,78,79,70,79,85,73,63,160,168,167,170,172,172,172,78,155,167,110,81,70,61,60,86,112,83,70,50,72,86,75,54,83,83,73,54,105,180,168,172,172,172,173,103,189,127,95,72,57,76,111,172,171,98,50,52,54,78,62,46,92,80,68,66,51,137,178,170,172,173,173,87,142,104,77,75,122,181,177,182,160,114,65,59,55,46,28,55,99,76,79,79,71,66,146,178,172,174,175,82,90,93,84,164,183,180,169,181,154,116,80,64,58,20,6,63,97,75,87,89,89,74,79,177,175,176,176,87,88,89,110,185,164,180,175,178,140,104,82,77,69,61,15,47,90,74,84,93,82,74,55,144,184,175,177,86,90,84,128,194,166,186,176,161,117,78,81,85,78,73,52,28,72,81,121,108,75,65,49,105,189,175,178,87,90,82,155,196,163,185,173,141,97,85,91,93,89,74,65,32,42,127,158,153,135,103,47,105,190,176,179,88,91,84,163,195,159,163,153,100,75,78,97,92,80,76,67,59,46,150,173,174,174,170,126,135,185,179,181,87,90,86,139,200,158,111,102,68,65,73,78,75,68,64,61,76,59,143,180,175,178,181,169,122,142,187,180,87,89,92,112,170,110,79,72,72,81,85,77,61,58,63,56,62,50,115,190,170,175,175,153,114,94,186,181,88,88,95,105,125,86,70,86,81,69,63,59,52,49,52,49,62,79,85,145,164,163,162,139,92,120,189,182,89,90,96,108,117,118,77,74,59,77,80,86,80,60,49,69,79,86,77,62,85,131,141,122,134,182,186,184,89,89,96,108,123,112,66,66,56,62,130,102,77,70,56,44,44,35,34,34,10,88,189,178,189,187,185,185,88,90,96,108,122,93,68,62,65,50,30,53,33,21,13,9,9,11,10,13,0,62,197,183,184,185,186,187,88,90,97,111,113,78,66,60,56,68,24,1,24,21,14,8,8,9,10,11,1,141,194,182,185,186,187,189,87,89,97,112,98,70,64,57,54,57,52,0,15,23,15,9,8,8,10,3,28,183,184,185,187,188,188,189,87,90,97,110,78,65,62,55,51,55,60,6,2,18,14,9,8,7,11,0,77,201,182,186,188,189,189,189
8,129,135,139,143,148,152,154,157,159,162,165,166,167,168,169,170,170,171,171,171,172,171,171,171,171,170,170,170,132,137,142,147,151,155,158,159,165,166,168,170,171,171,172,172,172,173,173,173,173,172,172,172,172,170,171,170,136,141,145,150,156,160,162,178,157,169,173,174,175,176,176,176,175,176,178,177,176,176,175,175,174,173,173,172,138,145,148,153,160,163,168,197,135,158,182,178,180,180,180,181,180,180,181,180,180,179,178,178,177,176,176,174,141,147,150,156,162,166,175,208,131,147,188,182,185,186,185,185,186,185,184,184,186,184,182,182,181,181,181,178,144,150,153,159,166,168,178,214,130,146,193,186,189,190,191,189,188,190,192,191,179,184,189,186,186,185,185,182,148,152,156,163,169,172,179,212,136,145,197,190,192,190,189,195,206,160,159,213,177,139,184,193,190,190,189,186,150,154,160,166,171,176,183,217,148,139,199,193,202,206,158,183,215,167,130,183,188,144,145,199,194,194,193,191,153,157,163,170,176,179,187,219,166,143,194,196,223,231,208,198,179,174,183,202,157,122,123,185,200,197,196,195,154,159,166,174,180,183,187,220,188,168,187,213,222,223,226,189,177,180,187,188,162,123,92,165,208,198,199,198,157,162,169,176,183,187,188,216,194,186,205,217,196,176,231,193,172,182,165,153,173,142,94,174,209,201,201,200,160,164,171,179,184,190,190,213,210,192,208,214,199,152,184,211,146,125,120,161,188,155,115,191,210,205,204,202,162,167,174,182,187,193,192,212,226,175,198,192,185,169,158,204,152,98,87,196,205,173,122,161,217,206,207,205,165,169,176,184,189,194,195,212,234,171,158,188,155,157,154,185,173,137,91,174,225,190,138,117,209,212,209,207,166,170,179,186,191,196,199,209,232,199,138,158,159,146,162,181,186,139,173,221,211,191,148,103,181,220,210,211,166,172,182,188,194,199,202,209,237,217,163,133,173,150,182,215,188,172,221,225,193,162,142,110,182,223,213,212,168,174,183,189,195,200,205,208,238,224,185,143,148,159,188,225,214,231,230,205,183,151,126,117,209,219,215,217,171,176,185,192,196,201,206,210,237,232,204,166,142,160,180,227,227,234,226,198,168,142,108,147,235,227,224,208,171,176,186,193,198,203,207,211,235,237,214,182,158,163,173,218,232,230,213,186,157,134,103,193,208,166,135,100,172,177,186,194,200,203,208,209,230,236,222,192,179,169,170,202,230,226,202,172,147,126,105,121,92,77,79,84,172,178,187,195,200,205,210,211,225,231,227,202,191,184,160,188,213,220,196,161,142,119,93,71,77,79,75,86,173,180,189,196,202,206,211,214,217,229,228,212,196,193,157,182,196,211,185,154,133,114,83,70,72,84,70,75,173,180,190,197,202,206,211,215,213,222,226,214,200,189,157,159,190,189,175,143,126,100,82,72,60,78,81,68,172,179,189,196,201,205,210,214,215,212,225,215,202,183,159,142,177,175,160,136,120,77,67,84,62,65,82,75,173,181,190,196,201,205,209,214,219,210,230,225,205,183,160,140,157,170,149,131,108,58,54,78,77,59,71,79,174,182,191,197,202,206,210,215,218,212,227,222,197,177,162,142,147,156,143,120,95,69,45,62,81,70,60,76,173,181,191,197,203,207,211,214,219,205,230,205,181,181,169,147,140,146,144,110,77,83,47,50,74,81,63,66,171,178,186,192,198,204,209,215,213,177,240,207,191,197,177,149,135,140,140,97,60,83,59,43,64,80,73,65
1,169,170,170,171,171,171,171,172,172,171,171,171,171,170,169,168,159,145,159,165,164,162,160,159,158,157,155,153,172,172,173,173,174,174,174,175,175,174,174,174,174,174,166,159,156,125,147,164,166,165,163,162,161,159,157,155,176,176,177,177,178,178,178,178,178,178,177,178,178,179,161,135,148,111,113,137,162,168,166,165,164,162,160,158,180,180,180,181,181,182,181,181,181,181,181,181,181,182,154,126,144,98,86,106,147,170,169,167,166,165,163,161,183,183,183,184,185,185,185,184,184,185,185,183,183,182,142,125,142,94,97,108,135,172,172,170,169,168,166,164,187,187,187,187,187,188,188,187,187,187,185,171,169,178,133,131,145,98,112,114,128,172,175,174,172,171,169,167,190,190,191,191,191,191,191,191,190,189,185,157,143,170,132,140,140,98,122,119,127,174,179,177,175,173,171,169,193,193,194,194,194,194,194,194,193,193,186,146,133,159,128,147,131,101,136,126,129,177,182,180,178,175,174,172,196,196,196,197,196,196,196,195,195,195,184,135,135,149,126,154,132,116,151,125,129,179,184,182,180,178,176,175,198,199,199,199,199,198,198,198,198,197,181,128,139,151,130,158,136,121,153,123,131,181,186,184,182,181,179,178,200,200,201,201,201,201,201,200,200,199,175,120,142,154,124,153,129,113,152,129,138,185,188,186,185,183,181,180,202,202,202,203,203,203,203,202,202,200,169,115,143,145,111,142,115,110,154,129,141,188,190,189,188,186,184,182,204,205,205,205,205,205,205,205,205,201,169,117,140,140,118,145,118,116,149,123,140,189,193,192,190,188,186,184,206,207,207,207,207,207,207,206,206,200,164,125,144,144,143,155,137,121,128,117,138,190,195,194,192,190,188,187,207,208,208,208,208,208,208,208,207,199,170,151,142,131,137,144,142,127,116,109,123,183,196,195,194,192,190,188,209,209,209,209,209,209,209,209,208,200,176,148,123,116,126,142,144,129,122,117,111,168,197,197,195,194,192,190,210,210,211,211,210,211,211,211,210,199,167,129,111,113,129,152,152,145,152,144,115,152,198,199,198,195,194,192,212,212,212,212,212,213,213,213,208,195,161,121,110,120,138,162,171,169,158,157,129,137,193,201,199,197,195,193,213,214,214,214,214,214,214,213,205,194,166,123,106,124,149,171,183,183,158,157,134,121,184,201,200,198,196,195,214,215,215,215,215,215,215,214,202,194,174,132,105,123,155,176,185,184,164,146,115,108,181,203,201,200,199,196,215,215,215,216,216,217,217,215,200,191,178,142,112,118,157,185,189,181,157,131,97,120,192,204,203,202,200,199,215,216,216,216,217,218,218,217,200,184,173,145,119,120,164,193,192,176,144,112,94,154,203,206,204,203,201,200,215,216,216,217,217,218,218,218,203,180,167,147,126,128,170,189,179,158,126,96,107,184,208,207,205,203,202,201,215,216,216,216,217,217,218,218,209,184,169,153,135,136,169,180,166,139,107,86,136,201,209,207,206,203,201,201,215,216,216,217,217,218,218,219,213,188,172,160,142,136,159,164,147,117,88,96,173,207,208,207,205,203,201,199,216,216,217,217,218,218,218,219,215,193,175,163,144,133,143,139,116,89,83,141,201,210,209,207,205,202,200,199,215,216,217,218,218,218,219,219,212,193,179,165,148,134,131,118,90,80,133,195,211,211,209,208,206,203,197,186,215,216,216,218,218,219,219,218,205,189,183,169,157,140,123,104,75,100,186,213,213,212,210,208,205,191,165,132
8,186,186,186,186,187,187,186,187,188,188,188,186,186,186,186,185,185,185,186,185,184,183,180,180,180,184,163,48,186,188,189,189,189,188,188,190,190,188,185,189,187,188,190,189,187,187,187,186,186,185,183,183,184,182,181,121,189,192,192,191,191,192,190,191,193,196,133,178,196,192,193,193,192,191,190,189,189,187,185,184,184,184,185,94,191,193,193,192,193,193,193,190,198,197,102,172,200,194,194,194,194,193,192,191,191,189,189,187,186,187,177,113,193,193,194,194,194,193,196,190,210,175,85,187,199,195,194,196,195,195,194,193,192,191,191,190,189,188,184,152,195,195,196,196,196,194,196,194,222,154,84,204,198,197,197,199,197,195,196,196,194,192,193,192,191,190,186,187,195,195,198,198,198,199,196,200,227,142,102,209,198,199,200,201,198,198,197,196,195,194,195,193,192,192,189,189,197,197,199,200,200,201,198,210,219,110,129,211,199,206,202,200,205,199,199,199,197,198,194,195,194,192,191,189,199,200,200,200,202,203,196,217,205,105,137,220,177,172,205,194,185,205,206,206,202,199,200,195,197,193,194,194,201,202,202,201,202,202,199,223,201,117,144,245,180,116,171,187,120,148,179,173,191,146,153,205,196,198,197,195,202,202,203,202,204,203,202,226,203,123,193,250,206,137,131,180,143,81,109,129,179,111,96,211,197,200,197,195,203,202,203,202,205,203,207,224,198,137,227,251,222,156,99,173,140,107,161,131,200,114,91,212,198,198,198,197,203,203,203,204,205,202,216,207,191,174,209,247,230,165,86,160,121,151,179,134,206,153,100,207,201,200,200,199,204,204,204,203,205,207,214,177,196,201,172,218,233,171,80,128,122,172,155,131,196,182,125,160,213,201,201,199,203,203,203,204,204,213,212,147,189,185,167,194,236,180,81,83,129,178,139,94,189,183,118,103,216,200,202,201,202,202,204,204,201,218,213,133,144,164,140,164,228,174,72,61,123,168,115,87,194,165,86,135,215,202,203,201,202,203,203,204,202,226,231,133,116,123,115,116,202,186,86,50,129,187,101,121,181,117,77,198,204,201,201,200,203,204,204,204,207,236,238,155,100,119,108,112,169,199,129,28,120,144,98,156,126,67,127,215,200,201,201,200,203,204,204,203,212,237,237,180,94,104,108,103,152,165,91,76,175,152,168,170,92,66,196,206,202,202,202,201,203,204,205,205,216,237,236,192,95,107,121,107,177,187,155,194,191,163,147,155,79,91,218,203,206,205,202,202,202,203,204,203,218,237,239,194,100,120,117,141,212,220,222,204,182,165,119,114,64,129,219,203,207,206,203,202,210,212,213,211,219,234,235,183,121,140,116,194,230,224,222,207,183,149,107,71,72,200,210,206,207,206,205,203,135,138,142,137,194,242,232,189,152,146,120,204,233,237,222,201,171,129,90,50,133,222,210,210,201,200,204,206,68,67,70,52,143,248,228,204,160,157,133,191,242,241,202,182,152,104,75,59,96,109,105,121,159,201,214,209,82,81,84,70,117,243,226,202,161,160,137,191,245,222,186,158,124,84,69,58,65,97,143,191,210,209,210,205,81,79,82,70,114,238,211,185,157,154,140,209,230,197,167,125,100,66,67,134,170,209,221,219,221,211,194,195,79,79,86,68,139,232,199,179,161,152,156,202,200,181,140,103,92,44,137,251,226,191,182,188,198,212,206,192,79,78,84,67,167,227,194,178,166,156,165,185,180,167,120,96,84,79,187,193,225,218,184,171,180,183,177,183
1,27,48,49,54,60,75,93,105,109,115,121,124,128,136,136,140,139,141,143,143,144,145,146,146,147,147,148,146,35,49,51,55,61,79,97,108,113,119,126,127,139,158,99,136,145,146,145,147,147,146,147,147,147,148,147,147,42,49,52,57,62,82,100,111,117,124,131,132,151,169,79,98,108,138,155,152,151,152,151,150,149,149,148,149,47,50,54,58,64,84,104,115,121,124,160,131,120,175,81,89,101,99,165,155,158,158,157,156,154,153,152,152,51,51,55,59,67,88,106,116,123,127,175,136,92,169,81,83,118,70,158,164,162,162,162,161,159,158,157,157,51,51,57,60,71,92,110,120,127,130,175,144,83,151,86,78,120,63,144,174,167,168,167,166,164,164,162,161,52,52,57,60,73,96,114,122,129,134,178,146,70,140,105,84,130,75,129,181,171,173,173,171,169,168,167,167,53,54,58,61,77,101,117,124,137,150,155,151,68,108,99,79,135,82,117,188,176,177,177,176,174,174,174,172,54,54,59,63,80,104,121,123,153,152,132,152,70,92,101,65,128,86,110,192,180,182,182,180,179,179,178,175,56,56,60,63,82,107,125,123,175,147,114,149,70,106,116,67,148,113,107,192,184,184,184,184,183,183,181,180,56,58,62,65,85,110,127,128,179,131,103,166,83,97,113,69,147,127,100,193,189,189,189,188,186,185,185,184,56,58,62,66,89,113,130,132,180,127,88,159,89,68,98,78,139,128,86,190,192,192,191,190,188,189,189,188,56,58,61,66,92,116,132,137,185,131,69,136,81,59,90,95,153,127,83,187,197,195,195,195,194,192,193,192,57,59,61,68,95,119,135,140,190,147,62,122,124,116,111,130,157,103,70,174,203,197,197,197,197,197,196,196,58,59,61,70,99,122,139,142,188,146,72,131,170,131,114,123,124,100,58,146,210,197,200,200,198,198,199,196,57,59,61,72,101,125,142,145,187,155,120,124,99,113,105,103,95,107,90,113,211,200,202,203,201,199,201,208,57,60,61,74,105,129,143,148,200,173,125,105,83,105,107,118,108,132,132,94,150,215,202,203,209,214,204,170,56,60,62,77,108,132,144,154,208,171,121,93,90,108,116,175,164,147,167,136,80,175,213,214,188,136,75,36,57,60,61,79,111,136,146,157,208,168,111,89,96,115,146,194,203,157,181,139,68,125,217,114,45,27,23,27,56,59,61,81,113,137,148,156,205,174,113,91,105,123,162,191,210,197,157,103,64,115,102,32,24,21,33,20,55,57,59,82,114,138,149,155,197,180,121,92,109,133,172,199,206,189,143,93,73,51,21,42,40,5,29,29,55,57,59,84,117,141,151,156,193,186,143,98,111,136,174,206,199,171,134,94,68,42,26,16,44,12,6,34,49,52,55,83,118,143,153,158,186,188,160,110,112,135,174,205,185,157,124,89,65,41,31,3,26,32,0,17,67,63,64,89,121,144,155,162,181,182,167,123,115,128,174,193,175,151,113,82,61,42,22,9,5,34,6,1,99,98,99,98,99,107,112,116,125,173,172,132,129,124,163,179,167,141,103,77,54,37,29,9,0,23,20,0,94,94,94,95,95,97,97,100,94,145,177,142,133,123,141,166,153,125,91,69,48,16,33,13,0,15,29,0,95,95,98,99,101,102,103,105,103,112,164,147,133,125,118,144,135,107,78,59,49,18,21,14,0,4,31,12,94,96,96,98,99,100,102,104,105,101,144,157,136,130,112,120,125,97,68,48,50,31,6,0,3,0,26,24
3,170,172,175,177,178,179,179,180,182,181,182,182,178,195,181,168,182,180,179,178,177,175,174,173,172,171,168,166,172,174,178,179,180,182,182,183,184,185,185,185,179,206,205,144,182,184,181,180,179,179,176,176,174,172,170,168,174,177,179,181,183,184,185,185,186,186,187,187,184,197,224,143,167,189,183,182,182,181,179,178,176,174,172,170,177,178,181,183,184,186,186,187,188,188,188,189,188,189,232,173,155,192,186,185,184,183,182,179,178,176,174,172,177,180,182,184,186,188,188,189,189,190,190,191,193,185,231,198,143,189,188,187,185,185,183,182,180,179,176,176,180,182,185,187,188,189,191,192,192,193,191,191,189,207,233,202,153,183,194,189,188,186,184,184,182,181,179,177,182,184,187,188,189,190,192,194,194,192,203,223,208,218,236,239,197,166,192,192,190,188,188,187,185,183,182,180,182,185,188,191,191,192,193,194,198,190,222,243,243,226,188,207,210,145,191,192,181,192,189,188,187,185,184,183,184,187,190,193,194,195,195,196,195,206,234,232,205,217,187,146,207,175,198,171,169,198,191,191,188,187,186,185,187,189,192,195,196,197,197,199,197,235,242,235,191,171,198,164,179,209,195,152,143,201,193,193,192,190,188,187,189,191,194,196,198,199,200,199,204,233,202,177,212,198,172,191,147,147,186,168,132,176,201,194,193,192,190,189,190,193,196,198,199,200,201,200,210,235,180,115,138,164,134,143,131,104,168,192,157,151,202,196,194,193,192,191,192,195,197,199,200,201,203,201,216,231,166,142,131,127,128,126,123,106,154,202,161,160,202,198,196,195,194,193,193,196,199,200,201,204,205,201,223,230,195,173,143,132,133,138,121,113,186,208,160,172,204,198,198,197,196,195,194,197,199,202,203,205,206,203,228,237,203,162,137,135,142,140,144,166,210,213,161,182,205,199,200,199,197,196,196,198,200,203,205,206,208,206,228,235,190,149,135,139,149,152,190,217,223,208,155,190,206,202,201,200,199,197,197,199,203,204,205,207,208,206,227,234,191,154,142,144,154,173,221,232,219,192,150,195,208,204,203,201,200,199,198,200,204,205,206,209,211,208,226,238,200,163,148,150,157,196,234,231,209,168,157,205,207,204,203,203,201,200,199,202,205,206,208,209,211,208,223,240,205,171,153,156,170,217,232,223,202,156,162,212,206,206,210,208,206,199,199,203,205,207,208,210,210,209,221,242,215,180,158,160,178,228,230,213,193,152,172,214,208,210,179,154,150,137,200,202,205,207,209,210,211,212,219,240,219,189,167,168,182,225,225,203,183,148,186,213,216,183,130,131,126,123,200,203,206,210,210,211,212,214,215,233,222,198,178,179,180,212,210,186,167,148,201,215,209,149,127,125,121,118,201,204,207,209,211,212,213,214,216,230,226,206,185,185,167,185,188,163,148,159,219,208,154,122,111,99,88,74,202,205,206,209,211,212,213,220,194,207,237,211,188,175,153,157,161,150,133,181,175,136,123,116,102,90,89,81,205,207,210,213,215,215,220,198,93,171,243,210,177,153,135,138,140,140,106,87,106,125,124,123,108,85,81,84,188,192,196,198,201,202,208,133,49,149,232,192,154,129,119,129,129,117,72,45,80,113,112,117,124,97,76,82,135,136,139,139,139,137,146,128,74,104,181,186,148,115,125,133,115,87,51,63,102,98,98,102,121,114,84,75,134,132,138,137,134,136,140,146,123,109,131,172,143,120,136,125,103,81,66,83,105,85,82,92,109,119,98,75
10,51,93,80,9,39,66,69,75,82,91,106,113,120,127,131,135,136,137,140,143,147,150,150,152,155,156,157,158,57,99,73,6,46,67,70,77,83,91,108,115,121,127,130,136,137,138,144,145,148,150,152,153,155,157,158,159,69,102,62,6,53,68,71,77,84,95,109,116,124,129,133,135,143,140,130,148,149,151,153,154,157,158,160,162,82,103,53,9,58,68,73,78,84,98,111,117,125,131,136,133,163,140,100,149,150,151,154,156,157,158,161,163,90,103,42,15,62,68,74,80,85,100,113,119,126,132,136,134,166,150,97,145,153,152,156,157,159,161,163,163,93,105,31,22,64,69,75,81,88,102,113,121,127,132,137,135,163,155,92,136,156,154,157,159,160,162,164,164,99,105,22,27,65,69,75,81,88,105,115,122,127,132,137,139,156,163,105,118,161,155,158,160,163,163,165,166,104,100,14,36,67,69,76,83,90,105,119,124,129,134,140,139,150,165,116,98,162,156,159,161,164,165,166,168,109,94,9,44,68,71,75,83,89,134,119,92,129,135,138,141,147,158,126,85,149,160,160,162,165,166,167,168,114,85,6,49,69,69,84,89,95,148,111,75,103,140,139,142,145,168,145,81,128,165,160,163,166,166,168,170,119,74,7,56,64,87,147,91,81,129,129,91,74,134,141,145,142,184,162,90,108,167,159,165,166,167,169,171,121,61,10,61,67,86,120,76,60,93,146,117,71,110,151,143,144,180,151,101,93,167,161,165,167,169,170,172,121,49,13,64,70,73,84,84,67,78,144,118,82,69,118,146,150,166,142,108,82,160,164,165,169,171,171,173,122,37,20,69,70,76,82,89,90,80,139,123,85,66,63,104,149,146,136,118,77,150,168,166,169,172,174,175,120,27,28,72,72,77,83,89,102,109,159,146,103,73,62,60,94,113,127,118,79,142,170,167,170,172,174,175,114,18,34,71,72,77,85,89,100,141,178,157,124,82,64,50,64,82,109,112,75,132,173,168,171,173,174,176,108,11,41,72,72,78,83,90,161,170,166,165,139,103,75,63,68,88,97,102,69,114,176,169,172,174,175,175,98,8,49,74,73,80,79,108,188,175,166,164,154,126,88,71,71,80,91,91,65,109,177,167,173,175,176,176,86,8,55,74,74,79,81,104,192,175,167,173,155,132,89,69,63,70,84,80,59,137,176,169,173,176,176,178,73,8,59,74,75,80,85,93,158,121,173,179,148,123,85,70,65,75,86,73,81,168,171,174,174,175,177,178,58,9,64,74,75,81,86,91,121,100,193,165,138,121,92,77,68,75,82,65,123,175,169,174,174,175,177,178,44,15,69,74,75,81,89,87,151,170,189,167,135,116,97,80,74,74,76,72,158,171,171,173,175,175,178,179,31,20,71,73,75,81,86,95,183,189,187,157,137,104,97,84,77,73,64,103,174,169,173,174,175,176,179,180,22,27,72,72,75,82,82,111,199,186,178,146,133,96,90,87,80,69,64,152,172,171,174,176,176,178,180,181,13,32,74,72,75,82,83,109,197,189,167,136,121,93,85,84,82,61,99,173,168,172,173,175,176,178,180,181,8,38,75,73,76,83,83,111,202,180,162,128,114,93,84,80,76,54,134,173,169,171,172,175,177,179,180,181,7,45,76,73,76,84,84,116,190,165,164,137,124,100,80,74,65,62,152,169,170,171,173,175,178,180,181,182,8,48,75,73,77,84,87,105,160,163,171,158,135,104,79,68,55,76,165,167,170,173,174,176,178,180,181,182
22,0,46,69,69,74,78,81,95,113,124,132,135,139,143,147,150,156,156,158,164,163,163,165,163,163,164,163,162,0,51,69,70,75,80,82,96,114,127,134,136,140,145,149,153,156,157,164,143,157,166,166,168,165,165,163,161,2,57,69,72,76,81,83,98,116,129,134,139,141,146,152,157,157,159,181,92,130,175,159,152,170,166,165,164,6,62,70,73,76,81,84,100,117,128,136,140,145,146,155,158,156,169,182,89,138,180,140,98,171,167,167,166,12,64,70,74,78,82,86,102,118,130,134,158,160,94,155,160,157,182,182,86,148,191,128,99,177,169,169,168,19,66,70,75,79,83,87,103,120,135,137,161,147,71,148,164,158,193,175,89,161,198,121,115,183,172,172,170,26,70,72,76,80,84,89,104,123,135,141,153,155,79,136,169,161,189,158,90,174,198,112,137,182,174,174,173,33,72,73,76,81,84,90,108,123,136,144,149,160,89,118,172,166,180,140,85,183,191,97,153,183,175,176,176,38,72,73,78,82,86,91,110,124,137,146,147,162,107,99,170,170,174,126,90,201,165,85,169,183,179,179,179,44,73,74,78,83,85,91,110,127,139,146,145,163,115,74,155,174,157,117,94,209,139,94,183,181,181,182,180,51,75,74,79,83,85,93,112,128,140,147,145,164,150,85,134,170,139,98,112,208,116,108,190,181,184,184,182,57,74,74,78,82,87,94,114,128,140,147,146,164,181,101,99,150,137,119,174,190,97,126,193,183,185,185,185,64,75,75,78,82,86,95,114,129,141,148,163,134,143,86,86,130,160,193,199,162,85,149,193,184,186,186,186,68,75,75,79,82,86,95,115,129,140,155,175,131,115,91,108,138,179,202,190,145,82,170,191,188,189,188,187,70,75,76,80,84,87,97,114,128,141,152,159,177,177,131,76,105,155,180,180,143,80,180,192,190,189,189,189,73,74,76,79,84,87,97,117,131,143,152,171,189,197,128,82,80,114,141,153,125,79,181,195,192,191,191,190,74,75,76,79,84,87,98,118,132,145,148,190,174,150,138,118,86,86,95,100,108,77,169,199,193,194,193,193,75,75,77,79,85,88,98,118,133,145,149,189,172,137,155,147,117,92,84,73,90,74,158,202,194,196,193,194,78,76,76,79,83,87,98,119,132,145,148,194,188,153,142,155,145,132,104,72,73,71,155,205,196,198,197,196,77,76,75,79,82,87,100,119,134,148,148,193,196,163,145,207,158,146,109,79,77,70,157,206,197,199,199,197,76,75,74,78,83,86,100,120,136,149,150,181,212,156,166,233,164,133,104,86,84,73,165,206,199,200,198,198,76,76,76,78,82,87,101,121,135,149,152,170,204,143,180,214,165,130,105,95,85,78,178,206,201,202,201,201,77,77,76,77,82,89,103,121,135,148,152,162,187,149,174,195,171,144,107,93,87,82,179,205,202,203,203,203,77,77,77,80,83,89,104,122,136,147,154,158,175,170,176,186,164,136,107,89,88,83,179,207,204,205,206,206,76,75,76,80,84,88,105,122,137,149,154,157,167,183,165,167,154,113,98,90,86,75,176,211,205,206,206,206,78,74,74,78,83,86,105,122,137,150,153,156,166,179,153,143,148,104,98,94,84,63,162,214,205,207,206,206,76,74,74,77,81,86,104,121,136,148,152,157,168,168,135,141,168,150,125,97,85,62,133,214,202,206,205,205,74,72,73,76,79,84,101,120,136,147,152,157,166,173,173,180,179,164,147,107,80,65,92,203,203,205,205,204
14,140,143,145,148,153,156,159,161,161,162,164,167,169,168,171,172,172,171,171,172,173,173,173,173,174,172,172,172,139,143,146,149,155,157,160,160,162,164,167,169,171,170,173,174,173,174,175,175,177,177,176,175,175,174,175,174,140,144,147,151,154,157,160,162,164,166,167,169,171,172,172,178,181,178,177,177,177,179,178,177,177,177,177,176,141,145,147,153,157,159,162,165,164,167,176,172,177,173,157,146,153,171,178,183,182,180,180,180,179,180,179,179,144,150,153,156,158,161,163,166,161,191,201,185,169,150,136,138,130,131,125,128,172,184,179,180,179,180,178,180,145,149,155,158,161,163,166,160,184,224,180,141,123,96,70,95,114,103,77,75,94,188,182,182,182,182,182,182,147,151,153,157,162,163,166,162,233,203,132,84,66,57,56,52,67,72,71,83,63,131,197,184,185,187,185,181,147,151,154,160,163,165,158,199,242,161,109,83,46,42,49,33,41,66,86,84,66,72,118,132,141,190,184,185,151,153,157,161,164,166,161,237,200,121,88,57,40,53,48,35,37,54,90,91,51,80,58,91,110,190,185,188,152,155,158,161,168,158,192,246,164,105,79,41,30,41,38,50,42,153,190,182,147,88,84,95,120,196,185,187,152,156,160,163,167,163,240,229,155,103,85,72,45,19,37,45,83,194,190,189,202,118,120,97,119,200,186,188,152,157,164,169,158,200,255,213,153,100,84,72,52,40,40,46,159,195,187,192,188,112,131,100,89,194,188,188,152,159,165,169,154,217,254,210,150,93,79,65,45,50,42,91,202,188,190,193,186,104,129,110,68,162,198,188,155,161,164,171,152,212,255,210,158,110,74,53,38,46,34,129,201,189,191,196,184,99,118,111,75,140,201,188,155,162,166,173,154,214,255,210,162,124,86,55,43,44,27,144,206,193,191,199,168,118,139,120,84,156,200,189,156,164,168,175,152,223,255,213,170,126,93,69,38,41,27,109,193,194,197,208,150,124,144,124,93,177,200,192,158,163,167,176,153,226,255,220,171,136,105,86,46,44,55,55,80,100,134,175,115,125,139,119,104,189,198,197,160,164,167,177,152,225,254,217,175,143,117,100,63,42,63,65,70,82,95,97,99,131,138,110,112,202,196,196,161,166,171,177,156,223,247,215,178,149,119,100,76,43,64,75,94,107,116,119,95,102,132,103,130,206,196,198,161,168,172,177,156,226,245,217,179,149,117,96,86,54,71,89,109,116,116,117,101,89,110,95,155,207,197,200,164,170,173,177,154,223,236,209,174,143,112,95,88,69,76,94,110,115,115,115,104,97,106,88,176,206,198,199,165,171,174,179,159,216,226,198,170,141,114,103,92,81,87,99,107,112,110,108,105,106,93,126,201,199,199,200,165,169,176,179,168,221,227,200,173,144,126,113,99,88,95,103,106,112,107,103,109,100,140,199,203,204,202,200,166,171,176,180,170,231,230,202,178,145,125,108,99,94,92,104,107,111,105,111,98,152,209,204,203,205,203,204,167,173,178,182,166,234,231,206,181,146,117,100,102,103,97,105,110,112,112,98,129,206,204,203,205,205,201,204,168,174,178,180,168,237,222,200,175,138,109,102,106,105,103,110,115,115,100,127,201,205,204,205,205,205,202,205,170,175,179,181,172,233,218,200,178,142,106,103,106,102,99,107,114,103,137,206,206,206,206,207,206,206,205,204,172,176,179,181,180,227,220,203,190,157,106,99,101,100,100,105,103,133,204,209,207,207,207,207,205,206,206,206
15,111,120,132,137,139,142,149,155,161,165,168,172,175,178,182,185,188,191,194,196,199,200,202,203,204,205,207,207,112,122,132,138,140,142,149,157,162,166,169,173,176,179,183,187,188,193,195,197,199,201,203,203,205,207,207,208,115,123,131,138,141,142,150,157,162,167,171,174,177,181,185,187,190,193,196,199,201,203,204,205,207,208,209,210,115,124,134,138,142,146,152,157,163,169,174,176,178,181,185,187,192,195,197,200,202,204,206,208,208,209,210,211,116,126,134,140,141,145,151,156,163,167,172,176,180,184,189,191,194,196,199,201,202,204,207,208,209,211,212,212,116,123,144,171,149,147,154,153,161,169,170,169,167,172,176,186,193,197,201,203,206,208,206,207,210,212,213,214,118,126,147,171,144,137,146,152,167,173,178,181,185,178,168,169,170,178,189,187,190,201,214,210,208,213,213,214,120,128,140,135,112,117,127,134,155,168,174,193,200,185,183,181,187,186,182,189,169,155,170,208,215,210,215,215,120,130,139,141,143,146,143,140,144,153,156,176,199,203,199,197,198,206,198,186,199,178,132,125,198,220,213,215,121,131,138,141,145,153,161,167,171,172,171,167,161,174,197,219,199,172,203,173,182,205,134,123,116,200,221,215,121,131,139,142,144,150,157,164,169,172,181,183,142,125,132,155,187,162,164,158,181,216,121,134,150,121,209,218,121,131,138,141,145,151,158,163,169,167,207,181,136,124,127,143,175,166,126,127,163,186,130,128,177,129,131,227,122,131,138,141,145,152,158,164,169,168,221,183,118,128,148,169,184,165,135,133,132,128,132,144,158,135,87,169,122,133,139,140,145,152,159,165,169,177,213,223,158,146,160,171,175,153,137,138,137,134,133,149,161,134,91,91,122,133,139,141,146,153,159,166,164,202,221,218,220,185,133,118,129,124,119,123,132,141,150,159,164,146,102,86,123,134,141,142,146,153,160,167,169,199,227,213,209,214,183,116,66,79,72,78,99,129,157,156,149,136,103,96,124,134,140,143,146,153,159,167,171,181,218,225,195,191,217,183,71,57,56,60,63,89,142,148,139,126,111,106,122,133,139,141,146,153,159,166,169,176,209,213,207,179,206,152,79,61,57,68,60,84,147,159,156,147,137,121,121,130,136,139,143,149,155,163,165,191,224,207,188,178,176,117,78,63,60,70,67,80,134,157,161,157,149,133,97,101,105,107,110,112,113,118,122,132,199,228,204,162,159,153,84,62,68,69,81,88,105,136,148,151,147,134,97,99,101,100,102,104,103,101,101,99,127,166,175,172,159,151,108,73,71,70,80,93,95,115,133,139,139,130,103,103,104,106,107,108,109,109,109,114,112,111,116,123,116,113,113,80,73,66,74,93,99,105,133,139,133,122,104,104,103,105,106,108,109,109,109,112,114,114,114,113,124,124,133,110,98,94,96,105,104,101,128,136,128,118,105,105,106,106,106,107,108,108,109,111,111,111,113,112,113,137,155,153,161,148,131,150,151,137,136,140,124,114,103,105,106,108,107,107,109,110,109,112,113,112,112,114,114,109,116,154,175,158,177,191,189,185,166,156,139,112,103,104,104,105,106,108,110,110,111,111,114,115,113,113,115,117,112,118,128,149,187,204,194,188,171,149,132,120,103,103,104,105,105,108,109,109,110,111,113,114,113,113,113,116,115,114,113,119,135,150,173,156,142,130,127,140,103,103,104,105,106,108,109,109,110,111,111,111,112,112,113,114,116,116,117,115,111,112,142,128,137,153,150,134
1,110,114,116,119,122,126,128,129,130,131,132,133,134,133,133,132,130,129,133,129,128,127,126,123,122,122,120,118,112,117,119,121,125,128,130,131,134,134,134,134,134,134,133,133,139,135,117,131,129,128,129,125,124,122,121,119,115,119,123,125,128,131,134,135,135,135,136,136,137,134,144,126,145,150,65,119,129,131,128,127,127,124,122,122,117,122,126,129,130,134,136,137,138,139,138,139,139,137,172,111,78,143,57,80,98,106,134,128,129,127,126,124,120,126,129,130,133,135,138,140,142,142,142,141,139,151,179,97,51,131,53,78,99,65,138,131,131,130,129,126,122,127,130,133,136,138,141,143,144,144,142,157,150,94,143,82,68,150,62,79,102,56,134,135,133,132,130,129,125,129,133,136,138,140,143,146,146,148,144,178,132,45,106,82,76,150,70,63,103,58,132,139,135,134,131,129,127,132,136,138,141,144,146,147,150,148,150,180,107,45,108,72,61,122,56,84,121,64,125,143,137,137,135,132,129,134,137,140,144,146,148,150,152,149,162,181,104,45,93,56,77,114,47,89,117,59,120,148,140,140,137,135,131,136,138,141,145,146,150,152,155,149,173,169,93,57,100,53,102,127,53,80,107,55,127,148,143,142,139,138,134,138,140,143,147,149,151,154,155,151,177,157,82,70,124,61,83,114,49,105,117,59,130,150,145,144,140,138,135,139,142,145,150,151,153,155,158,154,186,163,108,57,94,35,48,71,37,129,114,61,134,152,147,146,143,141,136,141,144,147,150,152,154,157,161,158,188,144,90,42,47,47,51,51,55,110,84,55,146,151,149,147,146,144,138,144,146,149,152,153,157,160,162,163,179,143,118,110,72,96,59,101,115,68,53,69,160,149,150,149,146,144,140,146,149,152,154,157,160,162,162,172,200,183,129,150,146,134,126,145,104,46,42,103,163,150,151,150,147,145,140,145,152,153,157,160,162,164,160,190,212,143,94,104,140,150,144,125,107,78,22,114,165,152,153,151,149,146,142,147,153,155,160,162,164,167,162,203,185,107,92,54,54,102,89,126,146,98,28,118,166,154,154,152,151,148,145,150,154,158,163,164,166,168,167,210,191,143,91,78,66,49,110,113,172,124,46,99,169,155,156,155,152,150,147,151,156,160,163,167,169,170,175,213,189,152,86,91,58,121,191,129,165,138,71,47,159,161,158,157,154,151,148,154,159,163,166,169,172,173,178,208,191,149,80,96,73,181,194,172,131,104,88,45,150,166,159,158,156,153,149,155,160,164,167,170,173,173,182,208,199,140,88,92,112,207,196,159,130,88,60,57,167,164,162,159,158,154,151,157,161,165,168,172,175,174,184,211,187,129,112,75,150,209,184,155,121,102,37,79,178,164,164,161,159,157,153,159,164,167,170,174,176,175,184,207,176,149,123,87,181,201,174,146,116,86,31,132,177,166,167,164,160,159,153,159,165,169,172,174,176,185,193,197,176,171,127,111,188,190,164,137,103,52,61,177,170,169,167,165,162,159,155,160,165,170,173,175,185,141,131,203,176,178,127,99,165,163,137,112,82,28,135,183,171,170,169,167,165,162,157,162,167,173,174,177,185,58,25,133,173,169,88,78,114,119,103,81,30,72,188,173,175,173,171,168,166,164,157,164,167,172,173,187,138,35,40,27,63,79,55,75,85,84,60,33,39,168,181,175,176,175,172,169,167,165,156,161,168,172,173,185,86,38,35,33,27,32,37,47,45,45,15,0,111,193,175,177,176,175,173,169,167,164
1,166,167,169,169,171,170,169,169,169,168,167,167,167,166,166,165,165,162,160,160,158,156,153,152,150,149,146,145,167,167,169,170,171,171,171,170,170,168,167,168,167,166,164,143,150,163,161,159,158,156,153,153,151,149,147,146,167,168,169,171,171,172,172,172,171,170,169,170,164,137,145,122,113,161,161,160,158,157,155,154,152,150,149,147,168,170,171,171,172,173,172,172,172,171,171,171,164,116,113,124,87,110,129,162,160,158,156,155,153,151,150,149,170,172,173,173,174,174,175,175,174,173,173,172,161,107,112,122,72,92,95,155,162,159,157,156,153,151,151,149,172,174,174,175,176,176,176,176,176,174,171,173,155,98,119,114,70,103,88,145,163,160,159,157,156,154,152,151,174,175,176,178,178,179,178,178,178,175,144,148,150,97,130,117,75,110,84,138,166,162,161,159,157,156,154,152,175,177,178,179,179,180,180,180,179,176,131,119,148,100,131,111,76,116,90,136,168,164,164,162,159,157,156,153,178,179,180,180,181,181,181,181,181,173,116,119,133,93,130,99,84,126,92,131,169,166,165,163,161,159,158,157,179,180,181,182,183,183,183,183,183,169,104,125,121,92,133,100,99,129,86,131,171,168,166,165,162,160,158,158,180,180,182,183,184,184,185,184,185,168,104,127,131,98,136,109,99,127,87,137,173,170,168,167,164,162,159,158,181,182,183,184,185,186,186,186,187,162,95,126,138,95,129,107,92,130,97,136,174,171,169,167,166,163,161,159,181,183,185,185,186,187,188,187,189,163,98,121,131,84,113,91,92,130,94,132,176,172,171,169,167,164,163,160,182,185,186,187,187,188,189,188,191,167,103,109,128,101,115,121,119,107,90,116,165,173,172,170,168,165,164,162,184,186,187,188,189,190,189,189,192,162,118,124,122,122,121,126,125,98,91,86,118,174,172,170,169,166,165,164,185,186,187,189,190,192,192,192,193,171,145,121,102,107,112,120,116,103,92,93,96,164,173,171,169,166,165,164,186,187,188,190,191,192,193,193,196,174,136,103,93,97,114,123,109,103,116,126,98,141,176,172,170,167,165,164,187,188,189,191,192,192,194,195,197,171,130,96,95,101,122,131,134,139,131,136,114,115,175,173,172,168,166,164,188,188,190,192,193,193,194,195,195,173,135,98,95,107,127,140,149,161,139,131,122,95,166,175,172,170,167,165,189,189,192,193,193,194,195,195,191,174,143,107,90,109,129,145,150,152,144,121,100,77,160,175,172,170,168,166,189,190,192,193,194,194,195,196,190,177,152,118,94,100,131,155,158,152,134,109,86,82,169,175,172,170,169,167,188,189,192,194,195,195,196,196,188,173,152,123,101,100,137,163,159,146,126,102,76,115,180,176,173,171,170,167,189,191,193,194,195,196,197,197,188,171,153,129,108,111,145,162,153,138,117,95,73,153,181,177,174,172,171,167,189,192,194,195,196,196,198,198,193,173,155,139,121,120,151,158,150,132,107,80,93,178,180,178,175,174,172,170,190,192,193,196,197,197,199,200,197,178,159,145,130,120,142,146,136,117,92,66,141,184,181,179,177,175,172,171,191,193,194,196,197,199,199,200,199,186,166,150,134,119,129,131,115,95,69,102,180,185,181,180,177,175,173,171,191,193,194,195,195,197,200,201,198,189,168,144,133,124,122,117,96,70,96,175,187,185,181,180,177,174,173,171,191,194,194,195,195,199,201,201,194,187,170,148,145,128,116,104,76,69,162,190,186,185,182,180,177,175,173,171
21,72,78,87,101,116,124,131,135,139,142,144,147,150,154,157,159,161,162,164,165,166,166,167,167,168,168,168,168,73,80,89,104,117,126,132,136,140,143,145,149,153,155,149,160,163,164,165,166,168,169,169,169,169,169,169,169,75,82,90,106,119,128,134,138,142,145,147,151,161,160,109,150,166,166,167,168,170,171,171,171,171,172,171,171,76,84,92,109,121,128,135,140,143,146,150,152,169,160,102,145,169,168,169,171,173,173,172,172,173,173,173,173,77,85,94,111,122,130,136,141,146,149,152,154,171,160,106,142,169,170,171,172,175,175,175,176,177,175,175,174,78,86,96,112,123,132,137,142,147,150,152,155,174,167,112,141,171,172,173,173,177,177,170,161,175,177,177,177,80,88,99,114,124,133,139,144,148,150,153,156,175,167,116,135,174,174,176,176,177,174,145,111,161,180,179,179,81,89,101,117,126,134,140,145,149,151,154,157,176,166,117,125,174,174,177,177,179,163,124,113,173,181,180,180,83,89,102,118,127,134,141,147,150,151,155,159,181,169,118,123,175,175,178,181,176,144,109,153,184,182,181,181,84,91,104,120,129,136,142,148,151,152,156,160,187,172,124,127,176,176,179,176,156,122,129,181,184,183,183,182,84,92,107,121,130,138,144,148,151,154,163,147,169,155,118,124,177,178,181,171,136,110,167,185,185,185,185,184,86,93,108,121,131,138,144,149,153,161,158,125,121,116,104,124,176,178,179,159,114,138,185,185,186,186,185,185,87,95,109,122,131,139,145,150,164,176,138,118,92,85,90,123,161,165,161,127,113,175,186,187,187,187,186,186,88,95,111,123,132,139,146,153,184,190,166,137,94,72,84,113,141,143,126,99,151,187,186,187,187,188,187,187,88,96,113,124,132,140,146,160,190,198,194,140,95,72,79,100,118,120,98,118,182,188,188,188,188,188,189,189,89,97,113,124,133,140,146,166,175,165,169,128,93,78,78,91,102,102,95,166,189,189,188,189,189,189,190,189,90,98,115,125,133,141,148,181,166,123,136,136,104,83,78,82,89,83,120,187,188,189,190,190,190,190,190,189,91,99,116,126,134,141,153,181,142,113,120,149,116,90,80,76,81,79,143,190,190,190,190,190,190,191,192,190,91,101,118,126,135,140,164,181,151,140,140,169,132,110,89,76,77,79,152,191,191,192,191,191,191,191,192,190,91,102,117,125,136,141,174,185,165,142,175,192,141,123,94,76,76,83,164,191,191,192,193,193,193,193,192,191,92,103,119,127,136,143,183,195,164,150,201,178,135,120,95,76,74,89,177,192,192,192,193,193,193,193,193,192,93,104,119,127,136,143,188,186,157,161,194,162,131,113,99,79,73,107,188,192,192,192,193,193,194,194,193,193,92,104,118,127,137,144,181,173,164,162,191,158,142,110,91,79,74,136,191,192,192,192,193,194,195,194,194,194,92,105,119,130,139,145,169,177,179,163,191,151,137,110,84,77,77,159,192,191,193,193,194,195,195,195,194,194,92,107,120,130,138,145,163,192,173,157,178,137,117,95,79,74,86,173,192,192,193,194,195,196,196,196,195,195,91,107,120,129,137,145,158,185,166,149,158,128,105,90,79,70,99,182,191,193,194,195,196,196,196,196,195,195,89,105,117,127,136,145,153,169,156,149,150,134,117,97,80,66,110,186,189,190,193,193,194,195,195,195,195,195,89,105,116,127,136,145,151,162,159,154,151,144,129,100,78,63,116,186,187,189,192,193,194,194,194,195,195,194
0,182,183,185,186,187,188,188,187,186,187,187,186,186,185,185,185,183,184,183,183,182,181,180,178,179,178,177,176,183,184,186,188,188,190,190,189,188,188,188,188,189,187,187,186,184,184,183,184,183,182,182,180,180,178,177,177,184,185,186,189,189,190,190,190,190,189,189,189,190,188,187,185,184,186,186,184,184,182,182,180,180,180,179,179,185,186,188,189,190,191,191,191,191,190,190,189,188,190,188,201,185,163,182,188,185,186,183,182,181,181,179,179,186,188,189,190,190,191,192,192,193,193,191,189,199,185,188,225,191,156,134,172,161,170,187,180,182,181,180,179,188,190,190,191,191,192,192,194,193,192,189,202,220,194,191,227,195,158,130,182,159,125,154,132,164,186,182,181,188,190,192,192,193,194,194,193,195,205,176,212,219,198,189,231,205,147,173,205,154,104,125,111,160,188,182,182,189,192,194,193,195,196,198,190,213,234,192,208,228,196,174,226,210,148,148,185,141,101,131,114,174,187,183,183,192,193,194,196,195,196,196,193,220,247,218,186,236,202,154,196,191,144,115,161,124,122,157,112,170,187,182,184,193,194,194,195,196,198,194,203,211,235,230,169,212,190,135,158,177,140,112,159,118,158,176,115,156,192,183,185,194,196,196,196,196,198,195,211,204,204,202,152,182,174,122,117,180,135,107,168,126,188,183,119,159,193,185,186,194,196,196,197,198,199,194,220,219,193,187,136,160,176,119,98,186,144,110,117,168,206,170,114,170,192,186,186,194,196,197,197,199,198,201,227,193,161,183,151,133,190,128,105,172,191,191,137,179,199,151,113,182,190,188,186,196,198,197,198,199,198,209,235,204,165,151,158,132,176,138,153,204,212,196,175,150,168,141,122,192,189,189,187,196,198,199,200,201,199,211,237,208,181,158,151,184,188,202,214,211,200,178,164,151,133,129,126,193,189,189,188,197,200,202,202,203,198,221,243,214,197,185,170,190,217,224,224,212,194,174,157,144,124,112,132,196,189,190,189,198,200,202,203,204,199,228,243,220,209,194,180,202,227,233,235,214,190,174,153,134,119,108,170,196,192,191,190,199,202,201,203,205,200,230,238,220,204,190,183,206,229,236,234,214,189,166,144,127,109,131,198,194,192,191,190,198,200,202,202,205,200,227,240,222,205,189,180,202,224,227,220,207,184,157,134,119,108,175,198,193,192,192,190,198,199,202,203,205,200,215,236,218,205,194,184,205,216,210,198,182,165,148,128,112,164,200,194,193,193,192,190,198,200,203,203,205,201,212,226,206,208,201,185,202,211,198,178,159,152,135,119,168,201,195,195,195,194,192,190,202,202,204,204,206,203,213,225,209,210,199,186,197,208,190,160,144,138,119,168,203,197,198,196,194,193,192,191,201,202,203,205,206,203,217,239,224,204,190,188,187,197,173,141,134,117,161,204,198,198,199,198,195,195,193,191,201,202,203,202,213,198,196,253,232,203,191,192,176,184,156,131,117,144,204,199,200,199,198,197,197,196,196,191,199,201,205,200,221,255,182,205,223,197,192,184,172,175,139,116,107,184,204,198,198,199,196,197,196,192,180,171,203,204,207,202,225,255,244,150,234,221,209,198,180,171,141,116,111,194,205,205,202,194,199,202,184,164,169,163,159,160,159,153,240,255,255,156,159,235,219,205,183,166,149,139,127,139,150,143,147,187,206,195,178,130,187,174,117,117,106,144,255,252,255,175,115,229,209,193,174,159,144,133,129,122,105,120,187,214,196,175,186,121,163,189
20,159,162,167,171,174,175,177,180,181,183,185,185,186,186,187,187,187,187,187,187,186,186,185,185,185,184,182,181,161,164,168,172,175,177,179,181,183,185,186,187,188,188,189,190,188,187,189,189,188,187,187,187,187,185,184,183,163,166,170,174,177,179,181,183,185,187,188,189,191,191,192,201,185,176,187,189,191,190,190,190,189,188,187,185,166,168,172,176,179,181,184,185,187,189,190,192,193,193,194,210,183,166,179,174,191,193,193,193,191,190,189,188,168,170,174,178,181,184,186,188,189,191,192,194,194,195,197,213,186,177,186,159,187,195,195,194,194,193,191,190,169,172,176,180,183,185,188,190,191,193,195,195,196,197,200,219,195,185,198,160,183,197,197,196,196,195,194,193,171,174,178,181,184,187,190,192,194,195,196,197,198,199,204,224,198,191,208,167,182,199,199,199,199,197,196,195,173,176,179,183,186,189,192,194,195,197,198,199,201,201,207,223,194,198,211,167,180,201,202,201,200,199,198,197,175,178,181,185,188,191,194,196,198,199,200,205,217,210,197,211,190,202,209,163,179,203,203,203,202,201,200,199,176,180,184,187,190,193,195,198,199,201,206,215,228,215,176,169,169,195,202,161,183,205,205,204,204,203,201,200,178,182,185,189,192,195,198,200,201,210,228,223,202,198,183,162,153,168,180,158,187,207,207,206,205,204,203,202,180,183,187,190,194,197,200,201,203,219,226,214,198,184,197,202,172,142,146,147,189,209,208,207,207,206,204,203,182,185,188,192,195,199,201,203,205,220,205,169,166,144,169,208,190,141,123,134,188,210,210,209,209,208,207,205,183,186,190,193,197,200,202,204,207,221,199,156,136,116,129,189,209,165,122,126,187,212,212,211,210,210,209,207,184,187,191,194,198,201,203,206,209,227,216,181,147,126,130,172,224,193,135,124,186,214,214,213,212,211,211,209,185,188,192,196,199,202,205,207,211,233,224,181,148,138,147,177,232,215,155,126,182,215,215,214,214,213,212,211,186,189,193,197,200,203,207,209,213,235,221,179,155,153,166,202,241,222,171,132,180,215,216,216,215,215,214,212,187,190,194,198,201,204,208,210,215,237,227,192,170,170,187,229,246,218,173,137,180,217,218,218,217,216,215,214,188,191,195,198,202,205,209,212,216,238,235,204,180,185,208,244,244,211,169,138,182,219,220,219,218,217,217,216,188,191,195,199,202,206,210,213,216,238,241,214,191,195,223,247,237,205,164,137,183,220,220,220,219,218,217,217,188,192,196,199,202,206,210,213,216,237,244,221,205,203,230,245,227,198,158,131,180,220,220,220,219,218,218,217,191,194,198,200,204,207,211,214,217,233,245,229,219,212,227,237,217,191,153,126,179,220,221,221,220,219,219,217,192,194,198,201,205,208,212,215,217,227,244,236,227,216,213,220,202,183,147,123,182,222,223,222,222,221,219,216,192,195,199,202,206,209,212,216,218,223,242,241,226,206,194,199,187,177,143,127,193,224,223,224,223,219,204,181,192,195,199,203,206,210,213,215,215,216,237,237,213,186,174,184,180,170,134,140,209,226,225,225,219,192,147,119,177,180,185,189,193,197,200,196,168,157,211,227,198,171,165,183,175,156,120,152,213,221,221,218,188,137,107,94,136,139,142,144,145,148,151,147,106,81,169,219,197,169,170,189,161,132,94,108,158,173,175,170,133,99,88,81,112,116,119,120,119,119,122,129,116,88,141,204,194,172,179,188,144,110,69,59,100,123,129,129,105,82,75,74
16,232,233,235,235,235,235,236,237,238,237,236,237,238,238,238,236,237,238,240,241,238,238,240,239,239,240,239,236,233,234,235,236,237,237,237,239,238,238,237,239,240,238,242,244,244,242,238,241,240,240,241,241,240,240,240,238,234,235,236,238,238,236,237,239,239,241,241,242,239,238,217,211,207,225,251,244,241,241,241,240,240,241,240,239,234,235,235,238,238,239,238,239,239,237,229,223,241,254,207,183,174,146,175,235,249,242,241,240,241,242,241,240,234,236,237,238,238,241,241,240,242,235,211,216,255,255,227,208,190,155,111,121,187,243,246,239,242,241,241,240,235,236,238,240,241,239,234,220,255,255,220,235,255,247,231,220,192,139,134,113,103,139,229,250,239,243,242,242,238,238,238,239,238,252,234,226,253,248,228,239,255,231,219,209,184,122,134,122,115,105,124,227,252,243,244,242,239,239,239,241,237,255,250,228,245,243,240,232,248,216,211,198,167,120,121,113,115,118,103,117,238,247,244,244,237,237,240,239,238,247,245,225,241,250,247,236,244,220,209,189,148,116,110,106,111,116,117,93,151,255,245,245,235,237,239,241,248,237,244,243,234,249,249,240,255,236,212,177,135,110,98,102,112,115,110,109,101,232,251,245,236,238,236,249,248,234,245,255,241,242,248,242,255,240,210,164,126,102,82,103,115,118,120,109,96,212,253,241,237,238,237,242,245,244,238,252,239,242,254,250,250,237,197,147,118,76,76,103,117,124,131,114,103,233,248,243,239,239,240,239,244,255,247,254,255,211,255,255,247,240,195,133,90,40,74,96,108,130,126,113,112,240,246,246,241,240,240,239,245,255,255,226,234,224,243,255,250,242,185,122,61,32,64,83,101,143,120,107,124,245,247,247,240,239,241,240,241,240,255,215,187,241,240,249,255,239,178,113,62,34,46,70,115,153,119,102,148,253,246,247,237,238,240,240,241,231,232,255,241,219,236,251,255,233,174,106,76,62,46,75,148,157,121,101,154,254,246,248,242,243,245,246,246,245,219,234,249,230,236,254,255,228,168,104,90,96,80,101,180,180,138,96,150,254,247,247,189,195,199,203,206,214,207,206,237,214,209,238,255,225,157,103,101,105,87,120,201,209,173,100,154,255,244,248,123,126,125,125,128,130,131,133,171,144,129,214,255,225,146,102,108,112,100,134,201,219,202,133,125,215,255,255,133,133,132,129,129,130,128,127,126,133,112,204,255,228,136,137,124,116,109,142,194,218,221,181,148,250,255,255,130,133,132,131,131,133,133,134,134,138,118,187,255,230,130,199,157,134,122,122,178,207,220,201,156,239,255,255,130,130,130,133,132,132,132,132,134,137,124,157,255,228,137,227,186,153,144,117,132,193,201,185,117,202,255,246,130,130,129,132,132,133,132,133,135,138,128,143,255,221,148,252,213,177,162,141,108,132,174,144,149,222,213,242,130,130,129,130,132,132,131,132,134,135,131,138,255,177,184,255,229,197,180,156,124,104,118,99,210,255,181,215,128,131,129,131,131,130,131,134,134,134,133,135,171,174,255,255,237,209,191,168,134,111,113,89,216,255,235,194,129,131,130,132,130,129,131,134,133,133,132,134,114,208,255,255,246,216,198,178,143,111,115,93,211,255,255,242,129,130,131,132,131,128,129,131,132,131,132,134,123,194,255,255,250,224,201,182,153,116,112,93,190,255,254,228,128,128,130,135,131,128,129,131,131,131,132,135,124,191,255,255,248,223,202,186,159,123,114,96,177,255,255,207
5,142,142,143,143,144,145,145,146,147,149,149,151,151,151,151,151,151,150,150,150,150,150,149,150,148,147,146,145,145,145,147,148,149,149,150,150,150,150,152,152,152,154,159,130,152,153,152,152,151,150,150,150,150,149,148,113,149,150,151,152,152,152,154,154,154,154,155,157,157,158,171,88,143,155,155,155,153,151,153,152,152,151,124,50,152,154,155,156,156,157,158,158,158,158,159,152,157,178,151,87,152,159,158,157,161,121,147,154,153,140,62,37,158,159,159,160,161,161,161,162,162,163,176,125,138,184,118,119,163,162,158,155,137,92,146,157,156,106,39,42,161,163,163,165,165,166,165,165,165,165,186,133,139,167,97,153,165,164,148,138,101,113,159,161,153,75,46,61,166,167,167,168,169,170,169,169,169,168,190,139,138,143,103,168,167,150,137,105,104,160,165,164,152,67,58,60,170,171,171,171,173,173,173,173,173,173,186,137,127,113,128,168,144,128,115,97,158,168,169,168,163,91,64,59,173,174,174,175,176,176,176,177,176,176,196,146,107,89,155,134,107,103,91,148,174,172,172,171,166,109,62,54,176,177,178,178,179,179,179,179,179,180,201,157,105,93,144,103,90,79,140,177,176,175,173,173,171,131,57,38,179,179,180,181,181,182,181,181,182,183,194,152,102,93,107,95,85,118,180,180,180,178,176,176,175,154,59,41,181,182,183,184,184,184,184,184,185,184,188,161,102,85,83,94,86,154,176,176,183,181,179,179,179,168,120,118,183,184,186,186,186,186,186,186,187,187,190,176,120,82,73,85,91,161,124,123,160,182,183,181,181,179,116,155,185,186,188,189,189,188,188,189,189,190,189,188,139,90,77,79,89,102,110,133,140,152,174,184,184,180,123,189,188,189,190,190,191,190,191,192,192,193,194,202,167,114,81,80,80,90,94,120,148,153,151,156,166,161,160,145,191,192,192,192,194,194,194,194,194,195,197,209,186,133,87,78,85,78,82,107,127,134,147,153,138,125,141,120,192,193,193,194,195,195,195,196,196,197,197,215,197,142,93,72,81,77,121,181,179,164,144,142,163,150,120,123,194,195,195,196,197,196,197,198,199,199,199,219,201,149,100,69,72,96,192,197,196,183,156,168,154,122,154,178,195,196,197,198,199,198,199,199,200,199,199,222,201,151,105,70,55,106,174,199,188,152,158,145,109,148,192,191,197,198,199,200,201,201,200,200,201,201,200,224,199,150,105,68,60,83,93,163,141,146,146,111,113,190,196,194,198,200,200,201,201,202,202,201,202,201,207,223,194,149,105,68,65,85,91,100,118,137,119,123,185,197,198,196,199,201,201,202,202,202,203,203,203,198,209,221,191,149,105,73,69,89,97,109,113,115,118,188,199,199,198,196,200,201,203,203,204,205,204,205,205,197,212,217,186,146,104,76,74,97,105,108,100,105,182,202,201,201,199,198,201,203,204,205,206,206,206,206,204,198,215,211,181,142,102,76,74,97,107,103,94,167,204,202,203,202,201,201,202,204,205,206,206,206,207,208,200,205,223,207,176,135,100,79,73,99,107,95,122,204,207,205,206,204,203,201,204,206,206,207,207,207,208,209,194,222,222,201,171,134,98,81,80,103,101,88,174,207,208,208,207,206,204,202,205,207,207,207,209,209,209,201,204,225,214,196,173,131,94,82,85,100,93,128,207,209,209,208,207,207,205,204,206,207,207,208,209,210,209,193,215,214,207,191,157,114,88,79,87,94,112,197,211,211,210,209,208,207,206,204
14,156,158,157,158,159,160,161,161,161,161,161,160,160,161,162,160,162,162,162,161,161,161,160,160,160,158,158,159,157,158,159,160,161,161,161,162,164,162,161,162,170,160,158,164,164,161,163,162,162,163,163,162,162,160,160,159,158,159,160,161,161,164,165,166,164,163,174,176,168,123,123,174,164,165,165,164,164,164,164,164,164,162,161,161,159,161,162,163,163,164,165,163,164,190,181,147,117,100,90,140,161,160,165,165,165,165,165,163,163,164,163,161,161,162,163,165,166,166,162,170,197,192,132,93,90,85,95,125,149,116,126,170,166,166,166,166,164,165,164,164,161,162,165,165,166,163,171,207,191,151,104,82,95,78,86,112,124,92,131,173,166,169,168,167,166,166,166,165,164,165,167,166,166,161,198,207,150,101,80,81,86,74,79,83,99,88,138,172,171,169,171,170,169,168,167,166,165,167,167,168,168,165,207,202,130,74,61,65,76,93,102,84,112,139,132,120,155,174,170,172,171,169,168,168,166,166,167,170,168,177,212,192,127,82,70,73,67,79,85,68,79,119,126,89,153,177,170,173,172,170,170,169,166,166,168,171,167,186,212,173,106,74,79,89,65,74,81,89,91,96,88,85,153,170,175,173,172,171,171,171,169,170,170,173,166,196,212,178,120,77,79,91,76,85,97,105,97,84,107,113,115,108,166,177,173,174,173,172,170,171,173,173,170,206,212,188,139,99,79,75,87,91,69,81,90,120,121,111,107,120,133,170,178,175,174,173,171,173,174,171,179,212,210,186,137,105,87,72,96,89,112,152,168,183,176,161,139,160,123,165,181,176,176,175,171,172,174,172,186,212,212,187,137,102,91,78,90,79,165,189,179,176,180,171,147,156,122,172,179,177,177,175,172,173,177,173,189,212,212,193,149,110,86,85,75,111,186,177,179,179,184,158,142,152,119,176,179,178,177,177,173,174,177,174,191,212,212,196,155,118,86,79,80,172,184,180,181,179,186,154,142,154,110,163,184,178,178,178,173,176,179,174,193,212,212,198,159,121,92,68,104,189,179,182,183,181,190,145,128,148,114,135,189,178,180,180,175,177,180,175,195,212,212,198,163,126,99,63,139,198,181,186,182,187,164,136,144,143,118,125,189,180,181,182,177,179,180,175,196,212,212,200,165,126,106,68,106,165,178,176,188,173,122,139,149,138,108,161,188,181,182,181,178,179,180,177,199,212,212,201,163,129,112,86,66,81,98,103,129,124,123,139,142,120,139,192,183,183,182,182,179,179,183,178,203,212,212,199,161,141,126,96,77,88,91,106,114,116,124,136,126,118,183,188,184,185,185,183,179,181,183,180,207,212,212,198,166,155,135,108,81,96,108,117,122,125,118,122,109,165,192,186,187,185,185,184,181,183,184,181,207,212,212,200,177,163,136,111,93,99,114,118,121,123,119,97,135,195,186,189,187,186,187,186,182,184,184,185,210,212,212,203,188,165,137,113,100,96,113,117,117,120,110,111,185,190,189,189,188,187,188,189,183,185,185,188,212,211,212,207,192,165,133,109,100,96,109,114,113,112,108,178,192,188,190,190,189,188,188,189,182,184,183,189,212,210,211,207,189,154,113,95,94,95,109,108,116,97,156,199,188,191,190,190,190,189,189,189,186,189,189,203,212,212,212,199,172,124,84,85,85,92,100,107,103,124,196,191,192,191,192,191,190,190,190,190,173,160,143,146,144,128,123,105,91,75,61,59,68,86,94,95,114,187,193,192,194,192,194,193,191,192,191,190
6,157,159,162,163,165,168,170,171,173,176,176,177,179,178,179,181,181,181,181,180,181,182,183,183,184,183,183,183,159,161,162,163,165,168,171,172,174,175,176,177,179,178,180,182,181,182,183,182,182,182,183,182,183,184,183,183,160,160,162,164,166,169,170,172,173,174,176,177,180,180,180,181,181,180,182,182,180,182,182,182,183,183,184,183,160,161,163,166,168,170,171,174,175,175,177,179,181,182,182,182,183,184,184,183,182,182,184,183,183,187,184,183,161,163,165,168,170,171,172,175,176,177,179,181,181,180,177,168,154,158,168,162,161,157,141,168,175,170,185,184,163,164,166,170,171,172,174,176,177,177,179,181,182,180,177,161,136,140,153,155,148,144,131,141,160,133,184,185,163,163,165,169,171,173,175,175,176,178,185,190,187,182,168,147,134,122,120,124,119,119,118,116,119,149,190,185,164,166,167,169,172,174,177,180,181,185,182,173,163,147,127,109,108,119,122,128,142,150,156,163,173,189,187,187,165,167,169,172,171,176,186,175,165,161,160,155,153,146,135,116,127,158,173,193,193,196,196,193,191,189,189,188,168,169,170,173,171,197,195,159,141,141,145,151,159,160,157,151,144,137,122,181,193,190,191,190,191,191,190,190,168,169,170,173,172,210,184,155,155,147,143,137,138,141,141,137,129,128,99,165,200,191,193,193,192,192,191,191,168,169,173,176,175,210,178,170,180,159,145,146,143,150,152,145,130,120,109,180,198,194,194,194,194,194,194,193,170,169,173,174,180,210,195,206,191,159,140,140,141,144,146,142,139,134,118,151,205,195,195,195,196,196,195,194,170,170,175,174,187,211,207,204,189,174,164,145,128,116,126,130,125,121,114,96,166,203,196,196,196,196,197,196,171,172,176,173,194,210,205,199,199,197,182,155,138,134,144,140,124,113,113,83,119,207,197,197,197,198,198,197,172,173,177,173,202,213,208,206,207,194,181,165,146,138,143,138,130,121,124,93,144,206,196,198,197,199,199,198,171,173,175,175,207,212,207,208,205,194,182,159,146,145,141,140,134,129,116,134,199,199,199,198,198,200,200,198,172,174,175,178,212,208,207,205,204,190,167,155,148,146,134,130,133,129,111,182,205,198,199,199,198,200,200,199,174,175,176,182,215,207,206,204,198,168,159,160,149,131,121,86,109,117,123,200,199,200,201,201,202,202,201,199,174,176,175,188,211,203,203,201,185,156,152,158,147,113,83,71,93,106,165,206,198,200,201,202,202,201,201,199,175,176,173,194,206,199,201,192,168,148,157,154,132,117,86,94,129,164,202,201,202,202,202,202,202,202,202,200,176,178,175,200,202,194,195,182,162,150,163,152,130,114,93,116,207,205,201,202,203,203,204,203,202,203,203,202,176,180,176,201,198,196,188,174,159,163,170,147,129,113,93,142,212,200,203,203,204,204,204,203,203,203,203,202,176,179,174,196,198,188,174,170,157,168,163,139,123,109,101,185,208,204,204,205,205,205,204,204,204,205,203,202,176,179,175,189,190,183,173,160,157,169,151,132,120,100,147,210,202,206,205,205,205,205,205,205,205,203,202,202,177,179,170,195,195,181,174,153,161,163,144,131,109,125,205,206,205,206,206,206,206,206,206,205,205,204,204,203,177,174,172,200,190,178,168,155,161,153,135,123,101,174,213,205,208,208,208,206,205,207,207,205,205,205,205,204,179,171,176,193,182,164,157,157,153,144,127,114,106,191,208,207,208,208,209,208,207,209,207,207,205,205,205,205
15,95,103,113,122,127,128,133,141,147,152,157,160,164,167,170,172,176,179,181,182,184,187,187,188,187,189,190,190,94,105,114,124,128,130,135,143,149,154,158,161,166,170,172,175,178,180,182,185,186,188,189,188,190,192,192,191,97,108,116,124,129,130,136,145,149,154,159,164,167,171,173,177,180,182,185,186,188,189,190,192,193,194,195,195,99,109,117,126,131,133,139,146,151,157,161,164,168,173,175,178,181,184,187,188,189,191,193,195,195,195,195,197,99,110,120,129,132,135,142,147,154,160,162,166,172,175,178,181,182,185,187,188,191,194,195,196,197,197,197,199,100,111,123,126,129,134,141,148,157,162,165,170,174,176,180,183,185,186,189,192,194,194,197,198,199,199,200,201,102,114,119,152,167,146,147,150,158,162,168,172,176,177,181,186,187,189,192,194,195,197,198,199,200,200,201,202,104,115,116,209,201,167,165,157,163,168,169,168,172,180,185,188,188,192,194,195,197,200,200,201,203,203,204,204,105,117,122,169,182,163,162,152,172,175,171,165,151,156,172,178,184,193,196,199,202,203,203,204,206,205,206,206,106,117,128,135,145,140,134,132,155,160,163,164,156,166,161,164,170,181,188,177,182,197,208,202,206,208,208,208,109,118,130,139,140,141,146,148,154,152,146,145,154,167,163,155,150,164,185,176,164,150,169,213,209,206,210,210,110,120,132,139,141,145,155,161,167,170,165,158,157,154,147,138,135,161,175,191,168,148,133,153,213,212,208,212,110,122,134,141,143,146,155,162,166,173,178,182,185,182,172,153,164,181,175,178,172,158,162,140,141,209,215,212,112,123,134,143,145,148,156,163,168,173,177,180,185,192,194,224,213,190,145,151,194,155,172,171,132,129,213,217,112,124,136,144,146,149,157,164,170,176,177,191,193,161,164,199,206,171,110,118,201,149,175,174,166,118,129,217,114,125,137,146,147,150,159,165,171,178,176,211,190,146,148,206,219,172,129,135,171,166,180,171,158,136,102,122,116,127,137,146,148,151,160,166,172,179,181,200,164,142,156,215,220,167,134,142,138,149,165,149,135,135,120,101,118,130,139,147,148,152,160,167,174,180,184,188,185,148,163,211,200,155,139,150,150,147,159,141,114,125,125,121,117,130,141,148,149,153,160,170,175,180,186,184,237,230,145,120,124,125,149,167,161,164,168,147,123,127,125,121,118,130,142,149,151,154,163,170,175,181,189,184,226,245,176,81,36,22,39,79,146,162,161,145,142,138,119,109,120,131,143,150,152,156,164,171,176,183,189,185,221,241,175,94,61,43,14,0,64,146,142,132,116,95,75,58,121,132,143,150,152,157,165,171,177,183,189,188,214,247,152,95,115,106,74,42,23,74,85,68,48,39,33,23,121,134,143,149,151,158,165,171,178,184,191,192,206,248,160,122,158,137,131,123,70,45,41,40,36,34,34,28,120,133,142,148,149,157,162,170,176,182,189,192,198,248,186,116,173,144,137,99,56,48,46,44,39,36,34,31,120,132,142,147,149,156,164,172,178,184,187,192,191,236,209,104,204,207,150,74,46,43,44,44,40,37,35,33,119,133,144,148,151,158,166,174,179,186,189,196,191,232,192,96,209,226,162,63,42,42,43,45,41,38,39,40,120,134,145,149,152,158,167,174,181,187,190,196,198,214,141,165,217,224,177,64,55,50,46,41,40,39,41,39,120,135,146,151,154,159,167,173,181,187,191,195,200,202,198,214,213,217,220,105,64,56,48,41,40,40,39,36
0,179,181,182,184,186,188,188,189,190,191,192,192,193,193,193,193,193,193,194,193,192,190,190,189,188,189,189,188,180,182,183,186,187,188,190,191,192,193,193,194,194,194,194,194,193,194,194,194,192,191,192,192,190,189,190,188,181,183,186,187,188,189,191,193,193,195,196,196,195,196,196,196,194,194,194,195,194,193,192,191,191,190,191,190,182,183,185,187,187,188,191,193,194,196,195,196,195,197,197,197,196,196,195,196,195,194,194,192,191,190,192,191,182,185,186,187,188,190,193,193,195,198,197,196,188,181,194,194,179,179,195,195,195,194,194,193,193,192,193,192,182,185,187,188,190,192,193,194,192,173,183,209,180,140,140,196,163,119,159,204,196,180,160,198,195,194,194,194,184,186,188,189,190,193,192,199,198,165,132,194,195,153,108,198,168,124,105,159,171,187,129,179,199,195,195,195,185,187,189,189,192,193,192,214,213,191,138,132,200,149,112,201,167,127,79,123,143,191,164,136,180,198,195,195,187,187,189,191,194,194,201,205,203,198,144,95,185,153,122,205,168,111,107,154,121,185,187,160,135,168,199,196,187,189,191,192,194,193,213,189,183,186,122,98,180,143,127,195,153,91,123,158,97,171,208,181,136,101,197,197,187,190,192,194,192,194,218,195,180,168,102,113,172,124,118,172,137,81,123,155,107,200,216,176,121,96,196,197,189,190,192,195,193,208,212,184,173,160,112,116,153,111,102,152,125,72,127,145,142,203,190,154,89,142,204,198,190,192,194,195,194,222,215,175,139,143,109,105,153,111,92,156,110,93,163,156,170,174,151,119,84,189,202,200,190,193,194,196,195,224,213,187,156,110,69,110,176,117,98,176,164,177,168,157,135,148,124,84,125,206,201,201,191,193,194,196,199,225,205,189,173,146,101,97,127,100,105,200,200,181,160,148,113,113,108,71,168,206,201,199,191,193,194,196,205,228,207,188,175,163,127,93,109,138,195,211,198,172,151,136,104,93,89,78,196,205,201,201,192,193,195,195,210,229,212,191,177,172,142,112,118,177,215,208,189,161,140,120,93,84,66,137,209,203,200,202,193,194,195,195,210,228,216,195,179,173,150,119,127,193,218,202,182,153,130,104,84,69,93,202,204,203,202,201,193,194,196,198,204,228,217,200,184,169,151,120,155,198,207,192,177,145,116,90,74,68,176,209,205,205,202,202,192,194,197,198,203,228,216,203,188,166,148,137,180,194,184,181,166,133,99,79,60,146,211,207,205,205,205,205,194,195,199,196,206,229,219,213,189,166,157,164,191,171,168,166,149,117,87,62,111,209,208,208,207,207,207,207,194,196,198,193,220,227,221,219,193,173,163,172,183,154,161,151,129,98,72,81,199,211,210,208,208,207,207,207,195,196,195,198,226,216,217,213,182,170,169,169,156,152,152,138,113,82,73,177,213,209,208,208,208,207,206,206,194,195,191,208,207,191,202,195,168,166,167,156,147,145,130,118,88,68,161,211,208,210,207,208,207,206,206,206,193,192,190,214,193,171,171,168,159,158,159,145,135,131,114,93,74,144,206,209,209,209,208,207,206,206,206,206,195,182,203,210,176,163,155,146,146,166,156,120,126,123,95,68,144,206,209,211,210,210,209,208,208,207,207,207,189,182,220,203,161,145,149,131,139,165,137,107,125,109,71,120,203,211,209,210,210,210,209,209,209,208,208,207,177,205,218,200,157,133,138,122,140,152,124,108,114,83,82,189,210,211,211,210,210,210,209,209,209,209,209,207
20,190,192,193,192,194,193,193,193,193,193,193,193,191,193,192,188,187,186,185,183,181,179,178,176,174,173,171,170,194,196,196,197,197,196,196,197,197,197,197,196,201,184,180,194,189,190,188,186,185,183,181,179,177,176,174,173,198,200,200,200,200,200,200,199,200,200,201,199,217,182,140,200,196,192,192,190,188,187,185,182,181,179,178,176,203,204,204,204,204,205,205,204,204,204,205,202,212,193,119,131,167,200,194,193,192,190,188,186,184,183,180,177,207,207,208,208,209,209,209,208,208,208,209,206,219,190,104,139,131,192,201,197,195,194,192,190,188,186,183,181,209,211,212,212,212,213,213,212,212,213,212,210,223,178,101,184,139,167,211,200,199,197,196,193,192,190,188,184,213,214,215,215,215,216,215,215,216,216,216,213,229,184,113,198,143,149,215,204,203,200,200,197,195,193,190,190,217,217,218,218,219,220,219,220,219,219,219,217,236,179,115,202,167,144,216,207,207,205,204,201,197,197,194,193,219,220,220,221,221,221,221,221,221,222,222,226,238,156,118,213,177,136,215,211,209,208,207,205,201,199,197,196,222,223,224,224,225,224,224,224,226,225,214,228,242,154,140,229,171,127,215,215,212,211,209,207,205,202,201,197,227,227,228,228,228,228,227,227,228,227,206,194,209,169,138,220,177,126,216,216,214,214,212,209,207,205,208,179,229,230,230,230,231,230,230,230,229,232,244,228,185,158,132,202,193,138,212,220,217,216,214,213,210,207,208,192,232,232,232,234,233,233,233,232,235,224,199,228,195,198,140,172,183,134,208,225,220,219,217,215,212,211,210,198,235,234,234,234,234,236,236,236,234,239,179,147,205,214,128,113,140,120,202,231,222,221,219,217,214,212,211,201,237,235,234,235,235,237,236,237,236,245,185,90,192,210,155,110,107,100,192,234,224,222,222,220,216,213,211,211,237,237,237,236,236,238,237,239,238,238,188,124,150,199,186,142,136,88,178,238,225,224,223,222,218,215,214,212,239,239,239,239,240,240,240,241,232,230,197,167,114,124,184,168,148,87,156,243,227,227,225,223,220,218,215,213,241,241,242,242,242,241,243,237,232,215,213,197,149,121,148,174,154,100,134,245,229,229,227,225,223,220,217,214,242,242,242,242,243,243,241,232,214,161,173,202,174,123,123,168,190,135,107,229,235,230,229,227,225,222,219,216,244,245,245,244,244,246,241,231,223,176,103,153,170,105,104,148,202,172,100,168,246,230,230,229,226,223,221,219,245,247,246,246,246,248,244,231,210,181,135,107,144,112,107,192,218,196,117,127,246,233,233,232,228,226,223,221,246,247,248,248,248,248,246,229,226,213,144,115,148,138,159,235,221,180,106,142,248,233,233,231,229,227,225,223,248,249,249,250,250,251,250,227,231,216,158,135,155,219,241,231,197,164,87,180,248,234,234,232,230,228,226,223,250,250,250,251,251,253,252,226,223,211,176,135,157,243,241,212,173,147,93,216,244,235,236,235,232,229,227,223,249,250,250,250,251,252,254,226,207,203,177,140,154,229,219,194,158,122,110,241,240,237,236,235,231,230,233,233,250,250,250,250,251,252,254,234,207,203,178,156,158,227,216,180,143,95,147,253,236,236,234,232,238,234,211,172,251,251,251,252,252,252,254,248,211,201,186,165,147,213,201,160,120,87,212,248,238,238,240,233,206,142,92,86,251,252,253,253,253,254,255,251,223,205,186,162,141,175,165,128,88,128,252,240,240,232,194,136,91,76,71,82
13,107,110,115,121,127,130,133,135,138,140,144,146,148,151,152,154,155,156,155,156,157,158,157,157,157,157,156,156,108,112,117,123,129,132,135,137,139,141,145,148,150,153,154,153,154,156,161,158,159,158,158,159,160,158,158,158,110,113,119,126,130,134,137,140,142,144,148,151,152,153,158,168,169,133,120,160,159,165,160,161,162,160,159,159,112,115,121,128,132,136,139,142,145,147,150,152,155,157,161,191,180,127,73,79,110,125,163,162,162,161,162,161,113,117,122,128,133,137,139,143,146,150,150,154,159,124,122,139,176,125,71,51,114,76,99,172,161,163,162,162,115,118,124,128,134,137,140,145,147,150,150,186,175,136,99,97,160,159,91,63,123,74,73,172,163,164,164,162,116,120,125,130,136,139,143,144,150,152,108,147,195,170,129,58,103,181,101,60,130,77,90,176,164,166,164,164,116,120,126,132,137,141,144,142,178,168,115,65,156,192,146,80,36,126,98,59,159,86,114,177,165,167,167,166,117,122,128,134,139,143,141,171,181,180,151,81,76,193,140,87,18,36,49,53,148,83,152,173,167,168,168,168,118,123,131,136,139,141,158,172,135,178,164,103,38,157,131,76,22,19,54,90,108,66,116,180,168,170,170,169,119,125,133,138,141,144,184,172,124,151,142,91,33,124,131,85,20,44,111,122,100,87,71,164,174,171,172,170,122,128,136,141,141,156,181,152,114,137,118,74,18,100,155,99,35,130,153,127,86,72,70,113,182,170,171,171,123,130,139,144,143,173,176,148,107,111,108,73,9,63,156,78,92,173,146,120,88,71,61,94,185,172,173,173,124,132,141,146,143,179,189,162,129,86,97,64,17,56,151,127,164,160,136,107,83,66,43,131,183,172,177,176,126,135,144,150,147,185,192,166,137,91,72,70,100,151,179,182,173,148,121,96,79,53,60,176,176,176,177,177,132,140,147,153,152,193,200,174,136,119,119,123,142,168,178,173,164,137,111,91,71,38,106,189,174,178,178,177,134,143,149,155,157,195,196,185,146,140,136,118,157,161,178,169,151,127,106,83,63,32,144,186,177,179,179,178,137,146,153,158,161,187,193,192,162,152,140,128,168,168,167,158,134,113,91,76,45,60,186,181,181,181,180,179,140,148,157,162,163,176,194,191,172,156,140,135,158,174,156,139,118,101,87,65,39,153,190,181,182,182,183,183,142,150,159,164,165,168,189,183,178,161,148,140,147,166,151,126,107,89,82,44,132,197,183,185,185,185,183,182,145,153,160,164,170,166,181,185,179,173,166,147,141,158,145,115,91,85,57,99,198,186,188,188,187,184,189,193,146,156,164,167,173,166,174,189,178,176,167,143,135,144,132,101,78,73,65,181,192,189,190,190,188,194,171,117,149,159,166,171,174,170,174,179,151,155,156,140,130,135,118,97,79,52,133,202,190,192,190,192,197,125,41,20,151,160,167,171,175,172,176,182,149,162,165,156,131,128,111,101,73,58,177,194,194,193,201,201,110,33,21,10,152,160,166,170,175,172,171,194,161,173,173,158,130,119,111,102,69,69,191,194,195,200,162,84,28,34,35,2,152,161,168,172,175,177,172,196,179,190,181,160,136,119,110,103,64,78,199,190,205,141,40,18,9,30,41,14,154,164,170,173,176,181,155,193,187,188,176,154,137,122,111,101,62,69,194,201,179,58,35,36,5,8,34,27,156,165,171,175,178,182,85,180,186,181,168,149,140,124,115,91,64,37,190,204,91,41,33,31,14,0,22,31
15,90,89,90,93,93,94,98,111,123,134,144,153,161,166,167,170,176,180,186,191,195,198,199,202,205,207,209,212,89,89,91,92,92,94,99,111,123,135,145,154,162,166,167,171,176,181,188,192,195,199,201,204,207,209,211,214,89,90,90,92,94,94,99,113,125,137,145,156,164,167,167,171,176,182,189,192,197,200,202,206,208,211,214,216,89,89,90,92,95,95,100,113,126,137,148,156,164,169,168,170,178,186,189,193,198,200,204,207,209,213,214,216,89,89,93,90,91,93,100,115,128,138,149,158,163,168,169,172,179,185,189,194,199,201,205,208,210,214,214,217,91,92,86,105,124,103,103,115,129,140,149,159,167,170,170,174,180,186,191,195,200,203,206,208,211,214,215,217,91,89,88,199,169,141,139,131,127,132,148,156,154,156,163,176,185,190,194,197,198,203,206,209,213,215,216,219,90,88,97,186,148,131,131,128,115,133,134,136,128,129,131,139,152,172,188,200,206,207,207,209,213,214,217,220,90,92,87,116,116,98,104,92,97,125,114,117,111,135,138,131,131,135,144,153,162,188,215,211,213,215,218,221,91,89,91,90,91,91,94,88,94,99,95,91,98,135,132,129,132,136,146,131,114,107,156,223,211,216,219,222,89,90,90,93,93,95,103,117,127,128,131,127,117,119,113,110,104,140,157,144,127,124,87,162,228,213,221,223,89,90,90,91,93,93,102,118,130,145,154,164,170,148,108,103,142,162,160,152,123,143,118,80,186,228,218,223,90,90,91,91,93,94,104,118,131,139,157,179,165,145,121,156,201,145,162,130,163,151,135,109,88,211,226,222,89,89,90,91,93,92,104,120,125,163,207,170,131,122,107,119,182,120,114,172,180,142,173,140,83,114,235,224,88,88,88,88,91,90,102,120,118,203,207,126,114,125,123,97,121,78,113,220,133,143,181,155,113,64,166,240,88,87,87,88,89,90,102,120,118,187,173,110,123,143,149,140,113,82,129,168,94,138,181,163,123,84,80,185,87,86,85,87,89,90,103,120,119,181,161,89,135,151,163,148,108,104,113,115,124,145,152,143,116,86,75,84,86,85,85,88,89,89,102,120,119,183,218,128,123,152,161,137,97,99,111,116,130,136,121,96,92,82,78,80,84,85,85,87,87,88,101,119,121,183,182,210,161,116,105,97,92,107,109,113,122,138,119,82,80,80,80,85,84,85,83,86,85,87,99,117,122,226,183,188,192,142,98,49,58,93,114,119,131,142,114,83,81,81,84,86,80,81,81,83,83,85,99,114,125,163,179,196,181,170,137,75,26,36,69,130,126,122,96,83,86,88,85,84,83,82,80,80,80,83,97,112,126,134,147,163,153,157,136,125,58,46,65,127,142,118,100,98,101,99,91,85,144,139,135,130,132,134,134,138,140,144,149,151,132,125,155,187,101,48,82,83,136,149,134,119,107,99,89,86,121,119,119,122,125,122,121,120,112,111,114,119,123,118,129,204,106,93,100,82,97,111,112,105,94,88,84,81,125,124,124,125,124,123,125,127,121,120,124,125,126,127,120,136,114,130,130,124,122,106,90,87,84,79,76,77,130,127,126,127,128,127,126,129,129,128,131,129,129,131,132,126,132,128,131,133,151,143,116,96,88,81,76,77,132,132,129,128,131,129,130,130,130,131,130,131,130,130,130,131,131,131,129,128,144,152,140,108,101,113,101,82,131,130,128,128,131,132,132,132,131,132,133,131,131,131,130,130,131,131,130,133,119,153,193,132,142,149,129,108
10,79,88,99,115,135,145,152,157,159,162,163,164,165,166,166,167,168,167,166,165,164,163,162,159,157,156,153,151,80,89,100,117,136,147,153,157,160,162,163,165,167,168,168,168,168,168,167,166,165,164,162,160,159,158,155,152,82,91,102,119,138,148,155,159,161,164,165,167,168,169,171,171,171,170,168,168,167,156,159,163,160,158,157,154,83,92,103,120,139,150,157,160,164,166,167,169,170,171,172,173,173,173,172,170,171,130,128,165,162,160,158,156,85,93,104,122,141,151,158,163,165,167,170,172,173,173,174,175,175,175,174,173,175,128,113,166,165,163,160,159,86,94,106,124,142,153,160,165,166,169,172,174,174,176,178,178,178,177,177,176,177,127,108,166,167,165,164,162,87,96,107,125,144,154,162,166,168,170,174,176,177,178,180,181,180,179,179,179,180,131,110,170,171,169,166,164,89,97,109,128,146,155,163,167,169,172,176,178,179,181,181,182,182,182,181,181,163,128,110,172,173,171,169,167,90,99,109,129,147,157,163,168,171,174,178,180,181,182,183,184,185,185,185,182,117,105,106,174,176,173,171,169,91,99,110,131,148,158,165,170,172,175,180,181,182,185,185,186,187,182,172,160,103,83,109,177,177,175,172,170,92,99,111,131,148,159,166,171,173,177,180,182,184,186,188,189,190,179,150,107,88,71,114,181,179,177,175,173,93,100,112,132,149,160,167,172,175,178,181,184,186,188,184,167,173,165,125,80,72,77,99,180,181,179,176,174,95,102,113,134,149,161,168,173,175,179,183,186,188,191,179,140,112,88,71,73,90,81,81,175,182,180,178,175,96,103,114,135,150,162,169,174,177,180,185,187,179,172,184,158,106,48,47,70,134,102,79,170,184,181,179,176,96,104,115,136,150,162,169,174,178,180,185,189,173,144,147,170,124,62,51,72,151,125,83,165,186,182,180,178,96,105,115,136,150,163,170,175,178,182,186,191,183,166,132,155,131,80,49,88,154,134,82,150,188,184,182,180,97,105,116,137,152,163,171,177,179,183,187,189,162,159,126,122,131,92,60,124,155,130,79,137,190,185,183,181,97,106,117,138,153,163,171,177,180,184,188,193,164,129,115,98,139,130,94,152,147,110,75,143,190,186,183,181,97,106,118,139,153,164,171,177,181,185,188,192,173,136,112,109,135,144,108,152,136,93,72,158,191,186,185,182,98,106,118,139,153,164,172,178,181,185,189,193,193,160,123,108,112,143,137,150,126,88,69,167,192,188,186,183,98,107,119,140,154,164,172,178,181,185,189,191,195,175,145,123,122,176,175,146,117,84,74,178,193,189,186,184,98,107,120,141,153,164,173,178,182,186,190,191,183,173,156,140,133,174,170,135,107,77,84,188,193,191,188,186,98,106,120,141,153,164,173,179,182,186,190,193,180,172,161,149,136,165,160,124,95,65,102,195,193,191,189,187,97,104,119,140,153,164,173,178,182,186,189,192,189,171,163,147,130,145,141,111,84,59,137,196,193,190,188,186,95,103,117,138,151,162,172,177,180,184,187,190,193,180,160,141,127,129,133,110,80,73,175,195,192,188,186,184,94,102,116,137,150,162,171,177,180,184,188,191,194,191,166,144,137,130,134,114,76,102,193,193,190,187,185,183,94,101,115,135,148,161,170,176,179,183,187,191,194,190,176,159,152,137,132,106,73,126,196,193,189,187,185,183,92,99,115,135,147,159,169,174,177,182,186,189,191,184,185,169,156,135,118,97,69,133,195,191,188,186,184,182
24,108,113,117,120,123,124,126,129,130,132,133,136,137,138,139,142,142,144,146,147,147,148,148,148,147,149,150,150,109,113,116,118,122,125,127,129,131,133,134,137,138,139,141,143,143,144,147,146,147,149,150,149,150,152,152,152,110,114,117,120,123,125,128,130,133,135,136,138,141,142,142,144,144,146,148,148,149,150,151,151,152,153,153,152,110,115,117,121,123,125,128,131,133,135,137,139,141,142,144,147,145,146,148,150,151,152,152,154,153,153,153,153,110,116,118,122,123,126,129,131,134,136,138,140,142,144,144,147,147,147,149,151,153,153,153,154,154,153,153,152,111,116,119,123,127,128,130,132,135,137,139,140,143,144,144,145,150,151,151,152,153,153,153,153,154,154,155,154,113,114,129,120,102,131,130,133,136,139,140,141,142,142,149,148,146,139,153,153,154,154,153,153,155,156,155,155,113,112,136,137,82,122,133,133,136,139,142,144,144,124,105,149,147,106,106,157,153,154,154,155,155,156,155,155,114,115,122,140,96,92,138,133,136,140,116,137,162,133,86,124,155,119,67,110,162,154,156,157,157,157,158,156,114,118,119,135,128,90,124,135,146,155,122,110,162,137,98,112,159,124,77,61,158,155,157,159,157,158,146,127,113,118,122,127,154,124,92,131,159,170,135,101,151,147,100,95,157,119,76,43,140,161,155,156,159,151,117,87,114,118,122,122,144,140,98,108,148,178,150,109,119,159,110,77,141,104,67,33,125,164,154,158,151,137,102,71,114,119,123,125,127,143,149,130,128,161,158,114,86,137,118,68,108,94,68,35,85,167,158,142,133,123,79,93,114,120,123,125,126,140,154,146,149,157,144,109,69,106,113,65,79,111,77,40,47,138,139,126,124,94,61,139,115,119,123,125,130,130,149,150,145,153,143,108,87,81,128,85,76,145,84,48,91,105,125,127,96,57,116,166,115,120,123,126,131,129,143,163,139,122,121,120,119,78,132,118,55,126,91,116,141,124,117,104,68,91,166,159,115,120,124,127,129,130,140,160,123,113,111,120,118,92,114,106,61,119,153,152,134,117,97,82,71,158,161,160,115,120,125,128,130,132,137,169,144,123,107,108,115,130,113,106,140,160,150,142,129,111,91,64,119,168,159,161,116,121,124,127,130,135,134,172,163,137,111,102,129,144,153,166,168,155,146,136,122,102,71,77,165,162,162,162,116,121,125,127,130,135,133,170,175,144,131,112,118,141,160,177,164,153,150,135,108,84,57,122,168,160,161,161,117,121,124,127,131,133,131,162,181,152,145,133,119,142,158,172,163,157,149,128,105,70,77,164,160,161,161,162,117,122,125,127,130,133,135,146,177,164,151,144,130,138,156,166,162,152,140,124,107,60,133,168,161,162,162,162,116,121,126,128,129,133,137,138,158,169,158,141,131,137,153,160,154,141,125,115,79,95,168,160,163,162,163,162,116,120,125,127,129,133,138,138,149,171,155,141,130,140,146,148,143,130,112,91,69,153,164,161,163,163,164,165,115,120,123,125,128,132,135,137,145,159,142,139,133,135,140,144,139,126,106,68,107,171,159,161,162,162,161,163,113,118,122,124,127,131,133,136,143,148,139,148,145,144,146,142,132,119,97,63,141,163,159,160,161,160,160,161,113,117,122,124,125,130,133,133,143,162,155,161,152,150,143,135,126,113,83,69,156,159,158,159,160,160,161,161,112,116,121,123,125,130,133,132,143,176,160,159,152,148,135,130,126,105,72,81,164,157,159,159,159,160,161,160
7,58,70,88,119,133,144,151,154,156,161,165,166,167,168,170,171,172,171,170,168,166,166,165,163,160,158,155,153,58,72,91,121,136,145,152,156,159,164,166,169,171,172,174,174,175,174,173,171,170,170,168,165,163,162,158,156,60,73,93,122,137,147,153,158,162,165,168,171,173,174,175,176,177,177,176,174,174,172,170,168,165,164,161,159,62,74,94,124,137,149,155,159,162,166,170,173,175,176,177,180,179,179,178,176,175,174,171,170,168,167,165,162,64,76,96,126,138,150,156,161,164,168,173,174,176,177,178,181,180,180,179,177,176,175,174,172,171,169,167,164,65,77,98,126,139,150,158,162,165,170,174,176,177,179,179,181,184,184,185,185,184,182,181,176,173,171,168,165,66,77,98,128,140,152,158,162,164,170,175,179,182,185,184,183,180,177,171,157,156,157,170,180,175,173,171,169,67,79,99,128,141,152,161,168,169,169,169,167,156,148,137,111,113,117,107,96,148,152,120,186,177,175,174,171,68,79,102,130,142,152,159,143,131,125,128,126,108,99,93,73,89,78,80,84,98,91,109,172,181,177,173,171,70,80,104,129,139,161,147,100,102,111,110,107,99,88,88,86,81,90,89,84,76,67,85,111,130,182,174,173,70,82,102,132,158,162,131,86,72,73,80,93,106,113,115,93,68,101,96,76,70,56,69,91,84,179,177,174,72,77,114,157,156,140,130,113,105,109,123,124,118,110,99,69,55,63,55,45,49,51,60,81,138,185,176,176,62,103,160,156,145,146,128,105,99,105,113,99,93,84,58,48,69,98,123,145,164,173,182,188,190,183,179,176,105,170,161,152,151,134,107,59,60,75,62,44,37,49,128,171,186,201,203,201,198,194,192,188,186,184,181,178,171,168,156,155,129,110,88,46,46,36,15,7,14,20,28,120,206,190,191,192,192,192,191,190,188,185,182,179,159,159,160,138,115,104,94,82,53,30,33,37,33,29,4,51,205,192,195,195,194,193,193,191,189,185,184,180,157,161,141,112,103,97,111,118,67,33,38,37,33,31,22,28,184,201,195,195,195,194,194,192,190,185,183,180,156,136,106,93,92,88,93,82,39,21,9,14,25,30,14,14,170,203,195,196,195,194,194,192,190,187,184,182,127,105,98,95,92,75,63,50,34,17,15,40,47,31,30,168,200,197,198,197,195,194,193,192,190,187,184,182,102,101,94,84,70,55,47,59,59,39,34,30,25,29,131,204,192,194,195,194,193,193,191,189,187,185,183,179,101,89,71,64,59,57,65,79,61,24,35,81,127,176,199,191,194,195,193,192,192,192,190,190,186,184,181,177,91,81,74,74,69,58,52,42,26,70,159,194,197,194,191,193,192,193,193,192,192,192,190,190,186,184,179,173,51,49,55,52,43,38,41,76,132,178,185,181,184,189,191,192,192,193,193,194,193,192,190,189,186,184,181,182,17,12,0,16,126,126,154,175,181,176,180,186,188,189,192,193,193,192,192,190,188,186,184,180,180,181,176,119,19,10,0,19,145,120,120,113,111,111,112,109,107,107,108,108,102,98,98,95,92,88,83,86,67,40,20,0,7,0,0,24,76,66,68,69,70,71,70,70,72,70,71,68,68,69,66,64,63,62,63,43,0,0,0,0,0,0,0,47,87,81,79,79,79,79,78,78,78,78,78,77,77,78,78,73,72,61,15,0,0,0,0,0,0,0,0,31,82,77,78,78,79,79,79,78,78,77,77,77,73,71,71,71,41,0,0,0,0,0,0,0
5,164,165,166,166,167,169,169,169,171,174,173,175,176,175,174,180,176,175,174,174,174,174,174,174,172,170,168,172,168,168,171,172,173,174,174,174,174,175,177,177,178,179,185,152,178,178,176,177,175,174,174,175,175,172,180,131,174,174,176,177,176,177,179,179,179,180,180,184,182,185,208,85,162,185,180,180,177,180,179,176,176,182,149,43,177,179,180,182,182,183,184,184,184,185,185,180,179,216,181,85,179,187,184,183,194,137,168,181,179,170,61,31,184,185,185,186,187,187,188,189,191,185,215,136,150,237,123,131,201,187,184,184,165,90,167,185,191,122,27,45,188,190,191,192,193,193,193,193,194,185,234,143,154,214,96,179,196,193,173,167,102,125,193,187,185,79,42,71,193,195,196,197,197,198,198,197,198,192,234,153,159,175,106,205,198,173,163,113,109,196,193,193,180,66,61,68,198,199,200,200,202,202,202,202,203,200,226,148,147,129,140,213,164,150,131,98,193,199,196,195,198,102,65,68,202,204,204,205,206,205,206,207,206,203,240,166,115,99,187,159,118,118,89,176,211,199,201,199,202,124,61,62,205,208,208,209,210,209,210,209,209,209,244,183,112,113,171,111,102,77,164,216,204,204,202,200,207,153,54,38,209,210,210,211,212,213,212,212,213,213,234,171,112,112,117,111,87,131,228,210,209,209,205,204,209,186,53,31,212,213,215,215,215,215,216,216,218,215,223,189,112,93,92,112,86,186,216,204,220,212,208,210,212,197,139,134,214,216,218,218,218,218,218,218,220,217,225,213,137,86,81,91,106,199,139,136,184,220,217,212,209,215,136,182,217,217,220,221,222,221,220,221,222,222,223,224,161,96,87,84,103,116,120,157,158,174,202,217,219,218,134,226,220,221,222,222,224,223,224,225,225,225,228,241,198,128,88,91,86,103,109,134,182,180,175,188,192,185,196,167,224,225,225,225,227,227,228,228,227,227,231,250,222,154,95,85,98,90,77,117,146,148,170,178,151,140,172,131,225,226,227,228,229,229,229,230,231,231,230,255,236,163,103,77,94,77,131,223,210,190,162,158,197,185,119,139,227,229,229,230,231,230,231,233,234,233,232,255,240,172,112,76,74,112,248,230,236,225,183,204,188,128,178,215,229,230,232,233,233,233,233,234,236,233,232,255,239,176,120,78,50,121,213,243,224,169,185,177,108,166,239,223,231,232,233,234,236,236,235,235,236,235,234,255,236,173,121,72,62,90,95,196,161,168,181,113,120,234,229,227,233,234,235,236,236,237,237,236,238,234,244,255,228,173,121,70,69,99,103,104,132,168,128,131,228,233,231,230,234,236,236,237,237,238,239,238,241,228,245,255,224,172,122,78,74,103,110,126,134,127,124,232,237,232,233,230,235,236,238,239,240,240,240,240,242,230,248,255,218,169,120,80,81,113,120,127,112,107,221,243,234,237,234,233,237,238,240,241,242,242,242,243,240,229,255,251,213,165,117,80,80,113,124,121,94,198,250,234,238,237,237,236,237,240,241,241,242,243,243,248,232,237,255,245,206,155,113,85,79,115,128,99,135,255,241,241,242,240,238,236,239,242,242,243,244,243,245,248,224,255,255,236,200,155,110,87,89,122,118,84,206,251,243,245,243,243,240,237,242,243,243,244,245,245,249,233,238,255,252,231,206,152,106,89,96,120,91,147,255,243,245,245,243,243,241,240,242,244,244,245,246,248,245,224,254,252,244,225,183,127,98,86,100,104,124,243,250,248,247,245,244,243,241,240
15,120,117,116,115,117,119,119,120,122,130,141,152,159,166,172,176,176,180,183,188,193,196,199,201,203,205,208,209,120,116,116,116,116,118,120,120,123,132,141,153,159,167,173,177,177,180,184,189,193,196,200,202,203,206,209,211,120,116,116,115,115,118,122,121,123,132,143,152,160,167,173,177,178,181,185,190,194,197,201,203,205,208,210,212,120,117,116,115,118,118,117,119,123,133,144,153,161,168,173,177,179,181,185,190,194,199,203,204,207,209,210,213,120,117,116,117,115,120,146,130,126,133,145,154,161,168,176,179,180,181,185,190,196,200,203,205,208,209,210,213,120,118,118,118,106,188,192,159,154,151,147,148,161,168,169,170,177,183,190,193,197,199,202,206,208,209,211,215,121,119,117,116,110,183,171,149,150,149,137,148,152,154,151,146,150,155,167,183,196,203,208,208,208,209,213,215,121,118,117,118,113,128,139,123,129,123,119,146,138,139,135,145,156,148,147,151,162,170,183,199,214,211,214,215,121,118,117,116,117,117,117,117,120,116,118,125,121,119,119,149,154,150,151,154,157,151,136,135,166,220,213,216,121,119,117,115,117,120,119,120,125,135,145,145,145,143,133,140,138,137,130,148,168,161,146,143,115,166,225,214,121,119,116,116,116,117,118,118,124,136,146,159,166,172,176,165,137,124,146,170,172,169,144,153,146,106,186,228,121,118,115,116,117,117,118,118,125,136,148,155,163,181,182,166,150,155,206,168,178,155,161,170,153,133,115,205,121,117,116,115,116,117,118,118,125,137,146,159,203,190,158,143,140,137,197,150,141,162,196,158,175,161,118,121,120,117,114,114,115,116,116,116,124,138,139,188,220,156,136,141,143,117,143,125,115,216,171,153,187,171,139,105,119,116,114,114,114,114,116,116,122,138,138,182,197,138,139,157,162,156,135,112,131,197,129,144,189,179,147,117,119,116,114,113,113,114,114,115,125,138,139,173,181,121,150,164,171,165,137,127,135,139,136,156,174,167,144,117,117,115,113,112,112,114,114,115,125,138,139,178,219,144,141,166,176,163,129,123,134,135,148,156,147,129,124,114,116,116,113,112,112,114,114,114,124,137,139,180,195,210,173,144,140,130,119,126,132,134,140,150,143,114,108,110,117,115,112,112,111,112,114,114,122,138,137,216,199,188,203,160,125,93,96,122,135,138,147,158,144,114,109,109,117,114,111,112,111,113,113,114,122,136,143,175,191,203,193,180,160,111,67,77,99,146,146,148,129,112,111,112,108,106,104,104,104,105,106,107,116,129,141,149,159,179,172,174,154,144,95,78,88,141,158,139,123,119,121,121,151,147,144,141,138,134,133,134,139,146,151,159,166,168,154,145,159,184,137,83,104,115,155,164,151,141,133,127,155,151,150,150,148,149,152,152,148,146,144,142,146,150,152,149,151,208,153,106,121,106,120,141,141,133,124,118,141,140,140,139,138,140,141,139,139,141,135,132,136,138,140,142,133,156,139,141,146,139,137,126,117,117,114,110,145,146,147,145,145,145,147,147,145,146,147,145,147,148,148,148,149,146,148,148,151,150,158,159,135,119,113,109,146,148,149,148,147,146,147,147,147,148,148,148,147,148,146,148,148,149,148,150,147,146,159,170,155,137,120,127,147,149,149,149,149,146,148,149,149,150,149,149,149,148,147,148,149,149,149,149,148,147,143,157,194,146,148,156,147,147,148,147,147,147,147,148,147,148,148,148,149,148,148,149,150,149,149,148,148,148,147,146,227,215,192,183
4,152,155,157,157,161,162,163,167,169,170,174,173,173,176,176,176,178,178,176,178,178,179,179,179,177,177,177,177,155,158,159,161,163,165,166,169,169,171,175,175,176,176,176,184,173,173,181,179,179,180,180,179,180,179,179,179,158,161,162,164,167,167,169,171,172,173,173,181,170,187,220,211,156,115,172,183,182,184,181,182,182,181,181,180,161,163,164,167,169,170,171,175,179,181,203,202,151,129,178,194,145,101,106,135,133,172,187,183,184,184,182,181,163,165,167,169,172,172,178,175,152,204,222,206,160,108,88,172,141,99,82,123,105,111,192,184,186,186,185,184,165,167,170,172,173,174,216,202,150,156,158,206,164,123,74,127,162,124,83,138,138,103,186,187,187,186,186,186,167,169,172,175,171,201,207,200,197,172,118,165,186,141,55,130,191,149,116,130,148,124,176,193,188,189,188,189,170,173,175,175,179,217,191,154,158,137,90,107,190,134,63,166,186,143,110,102,118,114,139,199,190,191,190,190,172,175,178,178,181,222,210,176,159,153,144,100,140,113,86,133,154,128,114,115,111,107,118,176,198,191,191,191,174,177,179,182,180,210,208,194,171,152,144,118,109,127,121,130,152,136,136,120,95,127,130,128,200,193,194,192,175,179,181,184,182,205,208,186,162,137,121,112,117,135,138,152,162,153,145,122,125,160,155,116,163,203,194,195,177,181,183,187,184,211,212,187,166,137,118,111,120,129,144,159,174,177,193,207,194,180,164,145,118,193,198,197,179,182,185,189,186,213,220,194,170,141,119,117,122,133,154,184,177,201,211,202,193,176,150,128,96,158,208,197,180,185,187,189,187,209,223,197,179,155,125,117,119,135,169,184,178,200,197,191,179,162,141,120,100,119,206,200,181,187,188,192,191,209,226,203,188,163,136,122,123,137,176,187,195,203,204,191,171,156,139,117,103,108,201,203,184,188,190,194,192,211,228,208,194,170,146,132,132,134,170,194,204,205,201,192,170,151,129,114,96,125,211,204,185,190,191,195,194,208,227,214,201,176,153,148,144,137,166,196,206,205,202,192,165,141,120,111,91,171,215,205,187,190,193,197,196,204,223,219,210,185,164,158,153,144,173,192,204,206,203,186,159,132,117,104,104,207,210,209,188,192,195,197,197,202,218,222,216,194,174,166,159,149,178,192,196,206,196,174,149,129,117,91,141,220,208,210,191,195,197,198,203,199,212,222,216,198,183,173,162,154,172,198,196,196,181,159,140,124,115,92,187,217,211,212,194,198,197,200,204,203,203,217,211,199,184,175,166,153,152,188,192,179,165,145,131,123,105,114,218,212,214,213,195,198,200,202,204,207,197,213,213,202,183,175,169,153,139,176,191,177,157,136,120,124,92,168,222,211,214,214,198,200,202,204,206,211,198,213,220,204,184,175,171,157,140,167,183,170,149,127,117,96,130,220,214,216,215,214,200,201,203,206,208,212,200,216,219,197,177,172,172,154,138,161,172,158,131,120,95,125,214,218,216,216,214,217,200,203,206,208,209,212,205,219,215,190,173,176,174,159,141,152,156,145,120,104,107,210,221,215,217,223,226,216,201,204,207,208,210,214,200,216,220,192,184,187,180,170,145,141,141,136,116,89,175,225,214,223,224,199,152,113,204,206,209,210,211,217,203,216,226,197,194,202,182,172,144,131,131,134,104,104,212,216,226,193,125,86,73,71,205,207,209,211,212,220,172,212,230,212,211,210,183,172,143,128,132,136,94,131,225,222,176,95,81,65,67,63
24,192,195,197,201,203,204,206,208,210,210,210,211,211,212,212,212,212,212,213,213,213,213,213,213,211,211,210,209,194,197,201,204,205,207,210,211,211,212,213,213,214,214,214,215,216,216,216,216,216,216,216,216,214,213,212,212,196,199,202,205,208,211,212,213,214,215,215,215,217,217,217,217,217,217,216,216,217,217,218,217,217,216,215,214,197,200,205,208,211,213,214,215,217,217,217,217,218,218,220,220,219,219,219,219,219,219,220,220,218,218,217,216,201,206,206,210,213,215,216,217,218,218,220,220,221,221,222,221,222,223,223,223,222,222,223,222,220,220,219,217,185,174,214,212,215,217,218,220,219,221,222,222,222,222,223,223,224,225,224,224,225,224,224,223,223,221,220,221,176,128,214,215,217,218,220,222,222,222,224,225,226,225,225,225,227,227,225,226,227,226,225,228,228,226,228,222,175,121,207,217,219,221,222,224,227,229,226,219,216,231,227,228,228,228,228,229,228,229,229,223,211,183,186,230,163,108,209,221,221,223,227,223,201,200,228,198,164,178,234,229,228,229,230,230,230,230,223,195,173,122,168,235,154,106,209,223,217,184,188,228,187,151,201,208,184,144,203,237,229,229,230,230,232,230,222,190,128,152,234,229,168,114,197,227,231,197,173,221,203,182,181,220,204,171,164,239,230,232,232,233,231,228,216,160,129,232,232,229,179,131,186,228,237,234,198,187,227,205,166,196,220,179,143,226,235,233,234,235,230,225,196,118,172,243,230,232,200,185,196,221,220,240,225,168,194,225,182,156,215,168,117,219,243,236,232,223,223,207,140,126,232,235,233,232,218,215,205,219,206,197,231,159,131,228,200,133,150,140,100,195,219,214,205,195,198,153,114,219,243,235,234,234,212,223,218,215,213,197,194,154,108,175,174,117,80,116,142,186,209,212,195,170,152,111,192,249,236,237,237,236,215,229,217,216,213,193,182,162,132,112,128,96,83,154,216,228,223,208,179,151,121,152,250,238,238,238,238,237,218,227,217,186,195,190,176,169,151,136,138,136,185,216,227,224,210,192,160,124,114,229,245,240,240,239,239,238,219,223,225,204,177,180,204,189,182,165,158,206,233,229,224,215,198,174,139,101,181,252,241,243,242,241,241,240,221,222,234,235,204,178,181,198,217,216,218,240,234,228,218,202,180,150,108,155,252,242,244,243,242,241,241,241,220,222,228,238,219,194,178,188,204,232,239,235,234,228,208,182,155,120,122,238,246,244,243,243,244,243,242,241,220,226,223,233,238,210,189,190,209,234,240,241,240,220,188,159,133,103,198,251,242,244,243,243,243,242,241,239,221,226,226,236,248,236,208,204,212,241,251,243,229,197,165,137,108,139,250,243,244,244,243,243,242,242,242,244,221,224,227,227,240,250,226,212,215,237,246,234,207,172,143,120,100,213,252,245,247,247,246,245,243,245,238,233,223,225,230,220,215,236,226,216,216,220,222,216,189,153,124,96,141,252,242,246,246,246,244,245,249,235,228,167,216,221,225,229,212,214,219,214,209,194,191,199,180,141,114,94,204,255,251,251,251,251,250,250,229,221,245,213,144,149,150,156,155,194,219,206,193,177,178,189,169,142,116,103,188,213,215,218,221,228,232,225,230,213,211,159,134,134,133,134,128,158,209,177,172,173,188,199,167,149,132,106,124,134,132,134,135,137,143,213,245,207,202,160,138,140,146,145,143,141,190,172,181,193,197,201,171,145,141,110,132,149,148,148,144,143,181,183,227,236,135,189
11,138,141,145,148,151,152,155,156,158,159,159,160,159,160,159,160,160,159,158,157,157,154,152,152,151,149,146,144,140,145,147,150,152,154,157,158,160,161,161,161,160,162,163,161,160,160,159,158,158,156,153,153,151,150,149,146,143,147,150,152,155,158,159,161,163,163,164,163,165,155,145,165,161,161,160,159,158,157,156,155,154,152,150,151,147,150,152,156,158,161,163,164,166,165,166,164,170,173,100,165,165,163,163,162,160,160,159,156,155,153,157,133,149,153,155,158,160,164,166,166,168,168,169,165,176,187,90,159,169,165,165,165,164,163,160,159,157,156,157,84,150,155,158,161,164,166,167,168,170,170,173,165,188,184,79,159,172,168,166,165,166,165,163,161,159,163,142,53,153,157,159,164,167,168,171,171,174,176,172,170,212,178,81,170,172,170,170,169,167,167,165,165,163,169,127,41,156,160,163,166,168,170,173,174,173,164,188,159,207,165,92,180,173,173,173,173,170,170,168,167,165,169,140,63,159,163,166,168,171,175,170,203,183,109,166,140,98,145,97,159,180,175,175,175,174,173,171,171,169,168,161,81,161,164,168,171,175,170,198,221,202,156,93,125,82,110,92,128,188,176,177,177,176,175,173,174,172,169,171,102,163,166,170,174,173,187,235,175,184,182,106,92,88,124,98,137,191,179,180,180,179,178,177,175,174,171,175,147,165,168,172,175,178,225,208,137,136,178,96,86,81,122,97,143,192,182,184,182,181,180,179,177,176,175,173,168,167,171,175,171,203,232,171,129,154,153,67,93,80,112,88,156,192,184,186,186,183,183,181,179,178,178,176,173,168,172,177,172,215,221,157,104,118,124,69,91,79,108,84,178,191,187,187,186,185,183,181,179,179,179,178,176,170,173,178,173,220,224,172,123,75,76,103,71,91,106,89,193,190,189,188,187,187,185,184,184,182,180,180,178,171,176,179,177,231,221,164,110,75,61,110,68,121,113,62,157,203,190,193,193,188,181,177,175,183,188,182,180,173,177,181,182,241,219,164,120,83,64,74,60,113,98,53,78,177,192,179,159,146,137,133,122,112,151,187,180,174,179,180,190,242,215,168,130,95,74,77,84,101,103,99,97,103,122,128,142,149,134,109,100,82,100,190,182,175,181,181,192,239,211,168,133,101,81,83,126,153,153,141,129,111,114,134,133,112,93,112,157,171,176,187,184,177,182,184,192,238,214,178,142,110,87,100,151,148,135,130,123,109,98,93,97,133,163,193,199,195,192,187,185,179,184,184,198,237,217,185,143,122,97,114,144,142,131,114,110,85,76,127,188,203,200,195,192,192,191,188,185,180,188,181,212,241,217,181,140,122,102,111,125,130,121,100,80,102,171,206,202,197,194,195,194,194,193,190,188,182,186,185,234,232,200,164,131,110,103,113,109,117,109,77,132,205,208,199,200,199,198,198,196,195,195,192,190,184,182,223,241,219,190,153,124,107,107,110,99,93,87,150,214,207,203,202,201,200,199,198,196,195,195,194,192,181,191,242,229,204,182,149,130,115,104,100,79,115,190,215,206,205,206,203,202,201,201,199,198,197,195,194,193,178,205,241,223,179,148,141,128,107,97,75,102,205,215,206,207,207,207,205,204,203,202,200,200,199,196,195,193,180,220,239,214,158,126,121,113,96,82,83,189,215,208,210,209,209,207,207,204,204,203,201,201,200,196,195,194,191,234,235,201,135,119,114,103,87,71,157,218,210,213,212,210,210,208,207,205,204,204,203,202,201,199,197,196
4,204,206,206,207,210,211,213,214,213,214,213,213,213,215,213,215,212,213,214,214,214,214,216,214,214,212,211,212,207,207,209,211,213,213,214,214,214,215,214,215,214,214,215,217,220,217,215,216,219,217,215,216,215,214,214,214,209,211,213,214,215,215,215,215,215,217,217,219,220,221,213,192,180,208,209,179,182,220,221,218,220,217,216,215,212,213,215,215,216,217,218,218,217,218,218,206,201,208,232,221,186,154,161,195,164,138,205,225,220,221,219,219,214,215,215,217,219,220,220,221,221,222,222,219,198,156,160,230,214,157,92,128,176,104,130,236,219,220,221,221,216,217,218,220,220,221,221,218,218,207,223,232,214,165,104,150,219,152,101,67,142,113,108,232,220,223,223,222,218,220,219,221,221,222,221,223,219,162,135,173,220,173,107,64,198,171,121,57,128,143,107,227,227,225,223,224,220,222,223,223,223,221,225,222,223,167,96,79,199,201,127,49,163,223,159,70,121,178,117,225,228,226,225,226,220,223,225,224,225,223,227,193,189,177,134,55,170,230,127,95,176,219,167,95,90,162,144,234,227,227,227,227,221,223,224,226,228,226,228,202,130,178,179,82,116,209,133,86,123,165,158,91,76,106,90,218,233,228,228,229,222,224,226,227,228,227,232,210,169,165,167,104,86,115,113,102,98,117,127,88,97,129,98,143,243,228,232,230,224,225,228,228,229,228,234,227,203,166,127,96,93,107,101,113,118,109,103,91,165,175,160,117,206,240,230,230,227,228,229,229,230,229,237,226,190,166,134,113,115,119,122,139,141,145,158,153,169,200,184,133,129,243,231,233,227,228,229,231,231,230,236,220,176,147,131,116,130,141,163,174,190,210,229,223,192,184,156,119,82,201,242,231,227,228,230,232,232,232,236,226,187,158,139,127,147,149,189,223,204,223,223,217,204,176,142,104,80,156,251,231,229,230,233,235,234,233,235,241,207,172,142,134,145,154,214,223,211,221,219,212,193,172,141,107,77,180,247,233,229,232,234,235,236,235,233,240,219,186,155,134,145,165,217,223,222,229,226,210,196,175,136,99,95,231,239,236,230,232,234,235,236,236,234,239,234,201,168,138,164,166,208,227,235,239,233,218,196,158,128,87,147,253,238,240,232,234,234,235,236,237,236,237,240,214,177,152,178,178,198,231,241,243,247,231,187,145,119,85,203,249,239,240,232,234,235,236,238,239,236,232,237,232,182,162,181,188,207,231,245,249,252,222,172,144,103,107,245,242,242,240,234,235,237,237,240,241,240,228,225,231,194,169,180,186,211,235,240,253,233,192,157,139,87,159,255,241,243,242,236,236,237,238,240,240,244,223,220,231,211,182,175,183,208,234,231,230,204,173,148,124,83,219,250,242,243,242,236,237,238,238,238,239,244,231,214,231,221,199,184,187,203,223,225,202,182,158,130,93,143,255,244,243,243,242,236,236,237,237,239,240,242,243,215,212,215,206,194,191,190,196,200,179,158,128,98,101,236,248,245,246,246,244,233,235,235,236,237,238,239,245,222,207,214,204,195,190,176,175,185,168,138,110,74,175,255,242,245,246,246,244,234,235,235,237,238,239,240,245,225,214,209,195,188,183,165,160,170,154,112,97,85,228,249,244,245,244,245,244,236,236,237,239,240,240,240,244,229,214,197,169,176,175,166,164,158,137,107,87,114,251,245,247,246,244,245,244,236,237,239,240,240,240,241,245,233,215,207,182,197,193,182,170,154,135,116,79,145,255,244,247,247,245,244,245
2,179,179,179,179,179,179,179,178,177,177,177,177,176,175,173,173,171,170,171,170,169,168,168,168,166,164,162,162,180,180,180,180,180,180,180,180,179,179,178,178,178,177,175,174,173,172,172,172,171,170,169,168,166,165,164,163,181,181,182,182,181,181,181,181,181,181,180,180,180,179,177,172,169,170,170,170,171,171,171,169,168,166,165,165,182,183,184,183,183,183,183,183,183,182,181,181,182,184,181,171,164,161,157,154,154,158,165,170,170,168,167,167,184,185,185,185,185,185,185,185,184,184,183,184,191,193,185,177,171,162,153,141,130,120,131,163,171,170,169,168,185,186,185,185,186,186,186,186,185,184,185,192,199,196,183,177,175,159,149,147,130,116,107,135,159,168,169,168,187,187,187,186,187,187,187,187,186,186,191,198,198,187,146,126,132,115,113,138,139,126,107,102,116,151,169,169,189,189,189,189,189,189,189,189,188,190,197,193,176,151,106,76,76,76,90,114,126,113,89,81,94,146,171,171,191,191,190,191,191,191,190,190,195,201,201,167,125,98,75,62,63,86,138,150,153,138,113,103,125,164,173,172,192,193,193,192,192,192,192,197,207,210,193,149,106,78,60,57,73,123,174,180,180,176,168,162,168,174,174,174,193,194,194,194,193,193,195,206,212,203,172,134,103,81,66,71,115,165,182,184,183,182,181,180,179,177,175,175,195,195,196,195,194,194,204,213,207,181,141,106,88,75,72,115,169,184,186,185,184,182,182,182,181,178,176,175,197,197,197,196,195,205,218,213,196,172,127,85,71,69,86,153,186,187,187,186,185,184,183,182,181,179,177,176,198,198,197,197,207,221,219,203,186,166,123,85,67,68,115,178,189,189,189,188,187,186,184,183,182,181,178,177,200,200,198,207,223,223,209,196,183,151,111,81,63,70,146,191,192,190,190,189,188,187,186,184,182,181,179,178,202,201,206,223,228,218,203,195,173,136,102,72,59,67,135,188,193,192,192,191,190,188,186,179,172,171,178,179,202,205,221,230,226,212,198,185,158,124,90,61,57,61,93,162,192,193,193,192,190,183,168,155,146,137,158,178,205,217,230,228,218,204,190,175,146,108,76,59,60,63,71,119,183,194,193,188,177,154,139,142,136,120,147,177,216,230,230,220,208,196,181,162,130,94,71,67,73,74,73,90,152,182,171,148,127,123,133,132,119,138,171,181,219,230,224,213,198,184,169,148,115,87,73,79,86,87,83,79,97,124,114,107,102,113,122,106,125,172,184,184,150,189,207,200,188,173,159,137,108,85,78,88,93,92,86,80,79,89,93,103,108,106,97,92,153,185,187,186,81,107,147,166,165,156,143,125,99,79,80,91,92,90,86,82,81,89,96,101,101,92,86,117,176,188,187,186,67,68,81,108,122,118,108,92,75,70,75,85,86,85,81,80,81,86,92,94,98,112,139,171,189,190,189,188,61,63,62,67,74,73,67,59,58,60,65,74,77,75,73,74,74,82,102,129,155,177,189,193,194,192,190,189,60,59,58,60,57,45,42,44,44,46,52,61,64,72,90,106,117,141,170,188,196,198,197,195,194,193,191,189,58,56,55,55,57,41,25,28,29,31,49,77,103,136,169,186,191,197,201,201,201,200,198,197,195,193,192,190,56,54,52,52,58,48,21,18,21,24,60,135,184,201,206,207,206,205,204,203,202,201,200,198,196,195,193,192,53,51,49,49,55,49,21,15,18,18,31,90,179,209,208,208,208,207,206,205,204,202,201,199,197,196,194,192
21,0,35,47,51,58,68,81,88,94,99,102,105,107,108,111,117,117,118,119,120,122,124,124,124,125,126,126,125,4,38,47,53,59,70,82,90,96,99,102,105,107,114,113,92,117,119,121,122,123,124,125,126,126,127,127,127,9,41,48,54,60,72,84,91,97,100,104,108,105,130,119,54,110,124,122,124,125,126,128,129,128,128,129,129,15,43,49,55,60,74,85,92,97,102,105,109,106,132,121,61,105,127,124,125,125,127,129,129,129,129,130,130,21,45,49,56,63,76,87,92,98,102,106,110,107,133,119,63,99,128,124,127,128,129,131,131,131,134,133,133,26,46,50,57,64,78,87,95,100,103,108,112,108,133,124,70,95,132,125,128,130,131,133,131,94,104,139,134,31,47,51,58,66,80,89,96,101,105,109,112,110,131,125,77,87,134,128,130,131,131,135,118,70,90,142,134,36,47,53,59,68,81,90,97,102,107,111,112,111,130,124,81,75,132,128,131,132,137,132,100,68,127,139,136,40,48,54,60,68,82,91,97,103,108,111,112,112,135,134,83,72,132,129,131,133,139,122,79,92,143,136,138,42,49,55,61,70,86,92,99,104,108,111,115,114,140,138,92,78,134,131,133,135,126,102,71,132,141,138,139,45,50,55,61,72,85,92,100,105,108,111,114,111,131,124,88,74,131,130,135,136,119,73,96,146,138,140,139,46,50,56,62,73,86,94,100,105,110,113,139,110,100,100,72,70,131,132,136,135,106,68,133,142,140,140,140,47,50,58,64,75,88,94,100,107,108,118,146,106,72,66,56,73,119,125,130,124,71,99,147,139,142,142,141,48,52,58,63,76,89,95,101,107,110,139,111,90,69,45,53,75,107,116,113,88,66,139,141,141,142,142,142,47,52,58,64,78,90,96,103,103,138,149,127,103,88,51,44,64,88,100,89,56,107,149,140,143,143,143,143,48,52,59,65,79,89,96,102,107,145,138,154,137,105,62,43,61,71,86,70,67,145,142,143,143,143,143,143,48,53,60,67,80,89,97,99,122,125,124,148,138,85,58,49,53,64,71,54,106,150,142,144,144,144,144,144,48,54,61,67,83,90,100,100,136,133,106,82,108,84,63,52,50,55,57,52,131,146,144,144,144,145,144,145,50,55,61,68,82,90,99,102,138,109,81,69,102,99,70,53,51,49,52,54,135,145,145,146,146,146,146,146,50,56,60,68,83,91,98,109,146,115,110,96,96,118,78,63,56,51,48,55,137,147,145,146,146,147,147,147,50,56,61,69,84,92,97,116,146,125,113,89,144,144,90,82,60,47,47,62,143,146,146,146,147,147,147,147,50,56,63,71,85,92,96,119,155,135,103,115,167,132,94,84,62,48,45,71,148,145,146,147,147,147,147,148,51,57,63,72,84,92,96,120,155,118,103,128,149,113,84,78,66,52,42,93,153,144,147,147,147,148,148,149,53,58,61,72,85,93,98,117,140,113,112,123,140,110,93,70,65,53,43,117,149,144,147,148,148,149,149,149,52,57,61,73,86,94,99,113,127,127,124,120,143,107,102,76,53,51,48,132,148,145,148,148,149,149,149,149,52,57,63,75,86,93,101,107,130,145,111,124,137,98,88,71,52,46,58,141,147,147,148,148,149,149,149,149,51,56,60,74,84,91,101,103,128,139,110,107,121,84,70,57,51,39,74,146,143,147,149,148,149,150,149,150,50,55,59,73,83,91,99,104,118,124,109,107,107,84,71,61,52,36,86,148,141,145,146,146,147,148,149,149
5,142,142,143,143,144,145,145,146,147,150,149,151,151,151,150,153,151,150,150,150,150,149,149,150,148,147,146,147,145,145,147,148,148,149,150,150,150,150,152,152,153,153,159,131,152,153,152,152,151,150,150,151,151,149,152,113,149,150,151,152,151,152,154,154,154,154,155,158,157,159,174,82,141,157,155,154,153,153,153,152,152,154,126,46,152,154,155,156,156,157,158,158,158,158,159,153,156,182,153,81,152,160,158,158,164,120,145,155,154,143,58,33,158,159,159,160,161,161,161,162,163,162,180,122,135,193,113,116,167,162,159,157,139,85,144,159,160,106,33,41,161,163,163,165,165,166,166,165,165,162,192,129,136,175,92,153,167,165,149,140,95,110,162,162,156,72,42,62,166,167,167,168,169,170,169,169,169,167,194,135,138,146,98,172,169,150,138,101,99,163,166,165,153,63,56,61,170,171,171,171,173,173,173,173,173,173,189,133,126,112,126,175,144,128,113,91,161,170,169,168,166,90,62,60,173,174,174,175,176,176,176,177,176,175,200,145,103,88,159,136,105,102,85,149,178,172,172,172,170,109,59,55,176,177,178,178,179,179,179,179,179,180,205,157,102,96,146,101,89,73,141,181,176,175,173,173,175,132,53,36,179,179,180,181,181,182,181,181,182,183,196,149,100,95,105,95,80,116,188,181,180,178,175,176,177,157,54,35,181,182,183,184,184,184,184,184,185,184,190,162,100,83,82,95,81,157,181,176,185,182,179,180,180,169,120,117,183,184,186,186,186,186,186,186,187,186,191,179,119,79,72,83,93,166,123,120,159,185,185,182,181,181,118,156,185,186,188,189,189,188,188,189,189,190,190,190,139,87,76,77,89,102,108,133,138,151,174,185,186,183,121,192,188,189,190,190,191,190,191,192,192,193,194,204,168,112,79,80,79,90,94,118,152,153,151,159,165,160,164,145,191,192,192,192,194,194,194,194,193,194,197,212,188,133,85,77,86,78,75,104,127,131,147,153,135,123,144,117,192,193,193,194,195,195,195,196,196,197,197,217,200,142,91,71,82,73,118,185,180,164,142,140,166,153,112,121,194,195,195,196,197,196,197,198,199,199,199,221,204,148,99,68,69,97,202,199,199,188,157,172,157,117,153,181,195,196,197,198,199,198,199,199,200,198,198,224,203,152,105,69,50,106,179,205,191,150,159,148,101,145,198,192,197,198,199,200,201,201,200,200,201,200,200,226,201,150,105,66,57,81,89,165,140,146,150,104,109,195,196,194,198,200,200,201,201,202,202,201,202,200,208,226,195,149,105,65,63,86,90,96,117,140,115,118,190,199,198,196,199,201,201,202,202,202,203,203,204,196,209,223,191,149,106,71,68,90,97,109,114,112,113,193,201,199,198,196,200,201,203,203,204,205,204,205,205,196,211,219,187,146,104,73,73,98,105,109,98,99,185,205,201,201,199,198,201,203,204,205,206,206,206,206,204,196,216,213,182,142,101,73,72,98,108,104,88,168,209,202,203,202,201,201,202,204,205,206,206,206,207,210,198,203,226,208,176,135,99,77,72,100,109,91,119,211,207,205,206,204,203,201,204,206,206,207,207,207,208,210,193,224,224,201,171,134,97,79,80,105,101,81,175,211,209,208,207,207,204,202,206,207,207,207,209,209,210,200,204,228,215,197,174,131,93,81,85,101,86,128,213,209,209,208,207,207,205,204,206,207,207,208,210,210,209,192,216,214,208,192,157,112,87,78,87,92,110,202,213,212,210,209,208,206,205,204
12,139,144,148,151,153,156,157,160,161,161,161,161,162,161,161,161,161,162,161,159,158,157,156,155,155,154,152,150,141,145,149,152,155,157,159,162,163,162,163,164,164,163,163,166,165,162,162,160,161,161,160,159,158,155,154,153,142,146,149,154,156,158,161,163,163,166,164,163,165,169,163,146,157,168,164,168,163,163,163,162,161,160,157,156,143,147,150,154,158,160,162,163,165,165,172,157,124,150,181,142,102,148,160,136,162,166,164,164,162,161,159,159,144,148,151,155,159,161,162,165,167,164,193,193,158,113,139,194,141,84,116,117,102,167,166,166,163,163,162,161,147,150,153,156,161,163,166,168,166,179,192,192,185,133,69,155,162,86,52,124,83,116,176,165,166,164,163,162,149,153,156,160,162,165,168,170,163,201,165,164,188,122,62,128,148,87,44,91,93,60,169,168,166,166,165,164,150,153,158,161,165,169,168,167,173,142,107,172,168,105,52,137,135,76,52,95,80,61,171,169,168,167,166,165,152,155,160,162,167,168,170,195,184,110,62,115,150,122,45,122,163,94,53,119,83,77,179,169,171,169,168,165,155,158,162,165,166,175,201,197,185,129,66,62,156,125,31,127,182,91,65,164,86,110,182,169,170,170,169,168,156,160,166,167,172,203,172,158,193,141,68,21,117,109,6,67,169,75,53,147,94,156,177,172,172,171,169,168,159,162,169,168,191,201,167,134,174,130,69,21,34,44,23,63,90,94,101,113,61,149,183,173,173,173,170,169,161,166,169,173,191,168,138,94,146,130,72,25,29,33,118,183,142,138,117,101,77,91,186,174,175,174,172,170,163,168,172,170,195,171,143,84,115,131,68,31,38,89,157,173,164,137,101,73,89,66,167,180,176,175,173,171,167,170,175,170,197,178,149,106,90,126,98,41,66,144,171,165,159,138,98,75,68,63,173,180,176,176,175,172,169,173,176,179,202,182,159,130,82,103,120,50,136,180,176,168,164,119,91,75,37,102,193,179,177,175,173,172,172,177,176,188,207,189,167,135,105,86,88,109,180,180,184,180,148,100,87,65,40,169,185,180,182,184,186,179,174,178,179,193,203,194,176,141,128,112,97,149,167,175,186,170,123,93,85,39,88,201,191,191,173,148,108,67,176,180,181,189,196,198,181,151,143,128,108,149,150,183,183,150,111,88,75,40,167,176,132,88,46,26,20,13,178,182,185,182,198,200,183,159,156,138,113,157,153,179,173,128,99,79,58,58,92,37,17,8,11,12,15,24,181,183,189,183,191,192,179,163,157,140,123,149,172,155,145,109,87,71,48,16,6,6,12,9,13,7,5,20,184,187,192,188,184,192,180,167,153,140,130,136,161,142,117,97,76,64,22,0,6,16,3,2,11,14,0,6,184,188,192,188,179,197,181,165,150,138,122,124,147,131,105,87,70,48,23,0,0,18,10,0,1,15,8,0,186,189,194,188,183,195,172,154,144,136,116,124,139,122,87,76,58,23,30,3,0,2,18,0,0,5,13,0,190,193,198,189,184,194,156,137,142,131,115,128,128,106,74,61,20,0,18,20,0,0,8,12,0,0,8,8,191,194,198,189,182,204,158,147,155,142,127,129,117,91,70,41,13,0,2,22,0,0,0,10,6,0,0,10,193,195,204,174,169,206,167,168,174,144,125,123,107,84,64,18,13,0,0,9,10,0,0,0,13,0,0,6,194,194,213,135,130,210,182,190,177,133,125,126,103,80,53,17,3,1,0,0,14,0,0,0,10,7,0,0
6,232,234,237,238,239,242,243,243,243,242,242,242,241,240,238,238,237,236,235,233,231,230,230,228,229,227,225,224,234,237,240,240,240,243,243,244,244,243,243,244,243,242,240,239,238,237,237,235,233,232,231,231,232,229,226,225,236,239,241,241,244,245,245,245,245,245,244,245,245,243,242,241,242,240,239,238,237,235,233,233,231,230,228,227,239,241,242,243,246,245,246,246,246,247,247,246,245,244,245,243,242,242,240,240,239,237,234,234,232,231,229,228,239,242,245,244,246,248,248,248,248,248,248,247,247,246,243,244,243,241,241,241,239,239,236,235,233,233,231,230,240,243,246,246,248,248,248,249,249,248,248,247,247,246,245,247,246,244,245,245,244,244,242,239,235,234,232,230,243,244,248,247,250,252,251,250,250,249,251,252,251,249,247,246,242,237,229,223,224,215,208,204,201,180,209,226,245,246,248,249,250,252,252,252,252,251,248,235,227,230,227,213,196,181,162,178,193,201,185,184,183,157,211,227,246,248,250,252,252,253,253,255,255,239,225,192,183,186,191,202,189,175,166,169,184,195,176,170,162,142,160,178,246,248,252,254,254,254,255,253,248,237,222,203,187,172,135,159,167,163,140,123,131,124,123,126,136,144,165,200,248,250,253,254,255,255,252,249,238,221,216,203,199,198,134,95,94,90,95,136,168,192,207,224,239,240,243,242,249,252,254,255,255,251,239,242,218,202,209,210,215,175,118,99,80,158,216,246,255,255,253,250,247,244,242,239,250,253,255,254,246,237,233,222,210,207,202,212,212,158,102,99,93,148,255,252,249,247,246,246,246,245,243,241,251,254,252,246,237,235,227,218,216,205,200,211,201,187,147,101,99,78,169,255,249,250,249,248,247,245,243,242,255,247,243,243,237,231,219,214,211,202,199,200,201,203,169,115,93,101,91,231,255,250,249,249,248,247,244,243,223,253,245,237,228,225,214,207,202,196,196,197,204,202,157,113,98,101,76,190,255,250,251,250,249,248,248,246,105,178,254,246,226,215,206,198,195,194,192,194,201,202,172,123,92,95,98,240,255,253,252,252,252,249,248,246,103,88,137,223,226,208,207,203,199,197,198,196,203,201,191,144,96,90,97,246,255,255,254,254,252,250,249,247,98,101,71,89,184,223,204,197,196,195,200,202,201,202,184,135,100,102,81,222,255,255,255,254,252,253,250,248,96,77,74,62,77,165,196,196,199,198,192,182,178,173,148,126,108,106,97,245,255,255,255,255,253,253,250,249,77,69,66,72,67,64,136,190,195,189,179,165,155,144,128,119,117,116,82,180,255,255,255,255,255,253,252,249,68,74,73,69,65,63,59,119,188,190,174,158,145,158,148,114,116,116,76,180,255,255,255,255,255,255,252,250,69,75,77,68,59,66,62,49,114,169,154,138,117,137,112,95,111,113,169,255,255,255,255,255,255,255,254,253,72,75,69,63,58,60,53,55,49,108,112,109,164,242,219,195,221,244,255,255,255,255,255,255,255,255,255,253,71,69,58,56,55,53,51,48,51,30,118,246,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,71,57,53,51,54,50,46,46,40,81,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,64,48,51,51,47,43,44,46,27,144,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,250,57,53,52,42,49,50,36,47,31,184,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,249
23,142,144,145,147,148,149,151,153,152,153,153,155,155,156,156,156,157,157,156,156,156,155,155,155,154,154,155,155,144,146,148,149,150,151,154,155,155,155,155,157,158,160,161,160,157,156,157,157,157,157,157,158,157,158,157,158,145,148,150,151,152,152,155,156,156,157,157,158,161,160,158,159,168,180,185,170,153,154,162,158,158,159,159,160,146,148,151,152,152,153,156,158,158,159,158,161,160,167,175,189,198,197,185,171,161,150,141,104,153,161,161,161,149,150,151,153,153,155,156,159,160,158,161,159,169,212,204,181,177,174,136,109,114,107,90,115,163,161,163,162,149,150,152,154,155,157,157,159,160,161,163,155,183,214,182,148,147,112,104,141,134,128,146,167,163,163,163,163,150,151,154,155,157,157,160,161,162,163,164,156,195,214,175,118,94,123,159,170,170,171,169,165,164,164,164,165,151,153,155,157,158,161,162,162,162,164,164,163,209,207,178,127,132,174,172,186,174,153,168,165,166,166,166,166,152,155,156,157,160,161,162,163,165,167,162,174,214,198,188,109,144,199,204,213,187,114,172,176,169,167,169,169,153,156,158,159,161,160,162,165,167,170,160,186,214,193,188,153,206,214,210,197,159,99,103,129,172,171,170,169,155,157,158,161,161,162,165,166,168,169,163,203,213,192,207,214,212,204,189,176,168,176,114,60,145,176,169,171,156,159,161,162,163,166,168,169,170,166,171,213,211,205,204,206,204,198,197,198,198,195,146,72,109,183,169,173,157,160,163,164,165,167,168,171,169,172,201,210,206,202,197,203,205,205,200,192,175,161,122,76,73,147,177,172,159,161,162,165,165,168,169,171,167,201,213,211,210,204,195,192,195,196,187,177,165,172,140,71,66,102,183,174,161,162,164,166,167,169,170,172,167,207,214,213,213,205,187,187,192,191,187,177,173,176,150,79,59,117,185,175,162,164,165,168,169,170,172,174,171,202,214,213,214,210,201,202,191,184,177,165,163,156,123,82,65,153,184,176,163,164,166,169,170,171,174,176,170,195,214,213,214,210,199,204,171,147,146,140,128,121,116,81,90,181,180,178,164,165,168,170,171,172,174,177,171,191,214,213,214,206,197,191,159,116,89,73,86,122,115,76,125,190,179,179,166,168,170,171,173,174,176,177,173,188,214,214,214,202,195,176,151,127,83,7,68,124,111,76,156,188,181,181,167,169,170,173,175,175,177,178,177,186,214,213,214,205,191,200,189,113,43,43,95,113,90,85,179,183,182,184,168,170,172,174,175,177,178,179,179,185,214,214,214,206,199,201,171,114,50,64,96,83,69,115,193,182,183,184,169,171,173,176,176,177,179,179,179,183,214,214,214,208,205,199,159,123,77,52,66,76,72,132,195,181,184,184,170,172,174,175,178,179,180,181,182,182,211,214,214,208,208,200,161,120,89,47,69,86,74,149,195,184,186,185,170,172,174,176,178,179,181,182,183,182,211,214,213,210,209,198,163,122,99,65,78,90,78,170,191,187,187,188,170,172,175,177,178,179,182,183,184,183,211,214,213,210,208,194,165,127,100,75,86,89,94,190,186,188,189,189,171,173,175,176,178,180,182,184,185,184,211,214,213,208,201,185,157,123,100,82,88,77,128,201,187,189,189,190,173,175,176,178,180,181,184,185,187,185,210,214,213,203,188,172,148,115,101,91,84,83,182,193,189,191,191,191,175,176,177,179,182,184,185,185,188,185,209,214,213,198,176,156,130,112,104,98,74,125,201,188,191,191,192,192
24,159,160,163,164,164,165,166,166,167,167,166,167,166,166,165,164,163,163,162,162,160,158,157,157,156,154,153,153,160,162,164,165,165,166,167,168,168,168,168,168,168,167,166,165,165,164,164,163,162,160,159,159,158,156,155,154,161,163,165,166,167,168,169,170,170,170,170,170,170,169,168,167,167,166,165,164,164,162,161,161,160,158,157,156,162,163,165,167,168,169,170,171,171,171,171,171,171,171,170,169,168,167,166,166,165,164,163,162,161,160,159,158,163,164,166,168,169,166,166,172,173,172,172,172,172,172,171,169,169,168,167,167,166,165,165,164,163,161,160,159,165,166,168,169,173,154,144,170,174,174,173,173,173,173,172,171,170,169,168,168,168,167,166,165,164,163,162,161,166,167,169,171,175,139,131,169,174,174,174,175,174,174,173,172,171,170,169,169,169,168,167,166,165,164,163,162,166,168,170,173,171,128,134,171,175,175,175,175,175,174,173,173,172,171,171,170,170,169,168,167,166,165,164,164,168,170,171,176,170,126,140,174,177,177,176,174,169,169,173,174,173,173,172,172,171,170,169,168,167,166,165,165,170,171,173,178,169,127,143,175,177,173,175,175,156,140,159,173,174,174,173,173,171,169,168,168,168,167,167,166,171,172,174,179,168,142,150,163,174,155,151,172,160,127,121,159,175,175,174,168,157,147,143,156,169,169,168,167,171,174,175,182,180,178,171,165,180,151,129,162,165,126,92,127,171,175,169,150,123,109,107,133,167,171,170,168,172,175,177,183,186,196,183,177,186,156,120,150,156,117,80,101,160,172,159,127,100,105,122,146,168,171,170,169,174,176,178,185,189,201,188,186,191,153,106,116,126,102,73,88,147,164,143,111,107,143,164,170,172,172,171,170,175,178,180,190,200,200,181,182,189,144,94,74,105,122,108,116,145,145,119,107,138,171,176,175,174,173,172,171,176,179,182,193,195,186,162,151,157,125,97,100,146,163,154,146,143,124,103,124,166,178,178,177,176,175,173,172,176,178,185,191,179,170,149,123,118,127,149,173,183,173,157,141,129,113,110,154,178,179,179,178,178,176,174,173,177,179,190,199,182,167,151,135,133,177,197,197,187,169,146,128,115,110,135,174,181,180,179,179,178,176,175,174,178,180,195,206,190,171,160,168,189,208,204,195,181,158,133,115,107,117,162,183,183,181,180,179,179,177,176,176,179,182,201,211,196,184,185,202,214,212,202,188,168,143,119,108,104,136,178,185,184,182,181,180,180,179,177,177,179,183,205,214,201,194,203,215,215,206,195,176,152,127,111,104,120,165,185,186,185,183,182,181,180,180,179,178,181,184,205,218,205,197,207,213,204,189,177,157,133,115,106,117,158,184,188,187,186,185,184,183,181,181,180,178,181,183,202,217,206,195,201,204,193,174,159,139,118,107,118,158,185,189,188,187,187,186,185,184,182,181,180,179,182,184,195,205,197,194,201,201,191,171,152,128,105,104,151,186,192,191,190,188,188,187,186,185,183,183,181,180,182,184,190,196,194,196,199,195,186,165,142,116,93,120,178,193,193,192,191,189,189,188,187,185,184,183,182,181,183,185,189,200,204,199,195,187,180,159,134,105,92,146,190,194,194,193,192,191,189,188,187,186,185,184,183,182,182,184,190,208,207,193,192,183,171,153,129,99,99,165,194,195,194,194,193,191,190,189,188,187,186,185,184,182,181,183,190,211,207,188,192,180,165,150,126,99,102,170,194,194,194,194,193,191,189,188,188,187,186,185,183,182
3,71,20,42,67,85,94,104,113,120,125,130,133,136,138,140,143,144,146,149,149,137,151,156,158,160,161,161,162,65,18,46,70,86,95,105,114,121,126,130,134,137,139,141,144,146,148,151,157,114,134,158,159,160,161,162,164,56,19,50,72,88,97,106,116,122,127,131,135,137,139,142,145,148,149,155,164,113,122,160,160,160,162,163,164,46,21,54,74,89,99,108,118,123,128,134,137,138,141,143,145,149,150,158,163,109,123,160,160,161,162,164,165,38,24,56,77,90,100,110,119,124,129,134,137,139,143,145,146,150,152,163,162,108,129,161,162,163,164,165,167,29,29,60,80,92,101,112,120,126,131,135,137,141,144,149,151,142,144,167,150,106,129,162,164,165,166,167,168,21,35,63,82,94,103,113,122,127,132,136,140,143,136,156,174,148,120,154,132,100,132,165,165,166,167,168,169,16,40,66,84,95,104,114,123,128,132,136,160,175,147,130,154,159,115,132,125,92,142,167,167,168,168,169,170,14,44,69,86,96,106,116,124,128,134,144,157,166,169,134,118,156,136,141,119,93,154,167,168,169,170,171,172,16,49,71,88,98,108,118,124,128,152,182,160,121,133,141,105,142,144,144,115,92,154,167,168,169,171,172,173,19,53,73,90,100,109,119,126,129,160,170,156,134,113,138,123,87,88,138,127,104,124,166,170,171,172,173,174,23,56,76,90,100,109,119,126,130,165,148,114,135,126,119,134,84,78,128,154,140,101,149,172,172,173,174,175,29,58,78,92,101,110,120,126,133,170,137,90,95,93,97,101,98,100,112,156,144,101,148,173,173,174,175,176,32,61,80,92,103,111,121,125,136,169,140,123,106,85,95,100,115,112,121,162,142,101,158,174,174,175,176,176,36,64,81,93,103,112,122,126,144,176,154,127,101,88,102,118,130,119,137,176,142,107,167,174,175,176,178,179,42,67,83,94,104,113,121,125,147,177,144,113,93,94,110,132,139,140,161,176,133,112,172,174,175,176,179,180,47,68,84,95,105,114,122,126,148,174,143,115,99,101,117,141,150,172,176,169,124,112,173,175,176,177,178,179,51,70,86,96,105,115,123,126,148,178,152,123,106,104,120,147,171,188,173,150,117,115,175,176,178,179,179,180,54,71,87,97,106,115,123,127,147,180,158,133,111,110,123,160,188,189,169,133,101,128,177,177,178,179,180,180,57,72,88,98,107,116,123,128,145,182,166,140,117,116,130,173,189,182,165,126,89,138,177,176,178,180,180,180,60,74,88,98,107,116,123,128,140,175,165,143,130,123,136,179,187,175,157,119,86,150,177,176,178,181,181,181,62,76,89,98,107,117,123,128,136,163,165,151,144,133,141,175,181,167,149,111,90,163,177,178,179,181,181,181,64,77,89,98,107,117,123,128,134,153,167,160,152,143,137,162,168,153,136,104,104,173,178,178,179,180,181,181,65,79,90,99,108,119,124,128,134,151,171,164,154,140,132,147,154,143,133,95,127,178,177,178,179,180,182,182,65,79,90,99,108,119,124,129,134,154,180,165,150,133,128,138,141,139,128,97,155,177,178,179,180,181,182,183,67,80,91,99,109,119,124,129,134,161,185,164,150,134,131,140,135,135,112,112,172,176,178,179,180,181,182,182,67,81,91,100,109,118,123,129,134,170,186,172,156,138,141,147,133,125,98,136,175,176,178,179,180,181,182,182,68,82,91,100,109,118,123,130,135,175,188,182,155,140,148,147,129,109,92,153,175,177,178,179,180,181,182,182
21,164,167,169,170,170,171,172,172,172,172,172,167,170,172,169,168,166,165,164,164,162,159,158,156,156,155,153,151,165,169,171,172,172,173,173,174,174,173,178,151,124,172,172,170,168,167,166,167,164,162,160,160,158,157,155,153,166,169,172,173,174,175,175,176,176,176,176,159,109,138,180,170,171,170,168,168,166,165,160,147,159,159,156,155,168,170,172,174,176,177,177,179,178,178,177,168,131,98,175,174,172,172,171,170,169,167,158,103,132,166,158,157,169,172,174,175,177,178,179,180,179,179,180,176,146,87,153,181,173,174,173,172,168,169,150,92,126,169,159,159,171,174,176,177,177,179,179,180,180,182,182,180,163,110,124,185,175,176,175,174,171,170,140,88,141,168,161,161,172,175,178,178,179,180,181,181,181,184,183,183,176,127,102,179,178,177,176,175,174,165,123,90,159,166,162,161,174,177,179,179,181,182,184,183,183,184,184,184,185,136,90,164,182,177,177,176,175,160,114,104,172,165,165,163,175,179,180,180,182,184,185,185,185,186,186,185,186,153,98,144,187,178,179,177,168,145,96,127,175,166,167,165,176,179,181,183,183,183,184,185,185,187,187,186,180,170,121,122,189,178,179,178,160,128,79,155,174,167,166,164,177,179,181,183,183,184,185,186,186,188,189,188,184,181,148,109,170,189,182,180,162,114,95,176,170,171,168,166,178,179,182,184,185,186,187,187,188,189,190,189,187,186,180,138,121,161,172,163,146,95,132,181,170,171,170,168,179,180,182,185,186,187,188,189,190,190,190,190,187,139,143,153,117,115,118,126,102,81,163,178,172,172,170,170,179,181,183,186,187,188,189,190,192,191,191,192,183,128,95,134,130,124,130,133,77,96,185,175,174,173,172,170,179,182,184,186,187,188,190,191,191,192,192,192,167,152,112,111,131,114,119,118,80,104,187,175,175,174,173,171,180,183,186,186,188,191,192,192,192,192,193,171,127,149,123,95,115,75,107,137,97,78,176,178,176,175,174,172,181,184,186,188,190,191,193,193,193,193,192,169,122,129,125,75,88,65,93,144,116,71,133,186,174,175,174,172,182,185,187,190,191,192,193,193,194,194,191,174,126,110,109,62,87,89,142,153,141,86,86,183,176,175,174,173,182,186,188,191,191,193,194,194,197,195,187,159,127,100,94,62,90,130,174,156,132,85,82,182,177,177,175,173,183,186,189,191,192,193,194,196,196,195,185,171,152,112,82,71,111,173,162,141,118,69,96,188,177,178,176,174,184,186,188,191,192,194,194,195,195,196,185,175,158,122,102,101,164,180,151,125,114,63,120,190,177,178,177,174,185,187,189,191,193,194,195,196,196,198,183,172,158,131,101,105,169,167,150,127,110,65,140,190,178,178,176,174,184,187,190,192,192,194,195,197,197,198,182,161,152,129,103,105,159,162,142,121,97,64,159,188,179,178,177,175,184,187,191,192,194,195,195,197,197,199,186,158,155,136,115,106,152,156,135,109,79,70,181,183,181,179,177,176,185,186,190,193,194,195,196,198,197,198,195,168,156,140,120,96,134,135,113,95,56,100,194,180,181,179,177,176,184,185,187,190,191,193,194,196,196,196,196,180,165,145,118,98,112,119,100,84,48,143,190,179,180,178,176,175,183,186,188,190,192,194,194,195,196,196,196,184,166,144,120,109,105,113,111,70,77,185,182,180,179,177,176,175,184,186,188,191,193,194,195,196,196,196,194,185,170,147,134,128,114,115,106,58,132,193,181,181,178,178,176,174
7,93,105,123,154,168,179,186,189,191,196,199,201,202,203,205,206,207,206,205,203,201,201,200,198,195,193,190,188,93,106,125,156,170,180,187,191,194,199,201,204,205,206,208,209,209,209,208,206,205,204,202,200,198,196,193,191,94,108,127,157,172,181,188,192,197,199,202,206,208,209,210,211,212,212,211,209,208,206,205,203,200,199,196,194,97,109,129,158,172,183,190,194,197,201,205,207,209,211,212,215,214,214,213,211,210,208,206,205,203,202,200,196,99,111,131,160,173,184,191,196,198,203,207,209,211,211,212,216,215,215,214,212,211,210,209,207,206,204,201,199,100,111,133,161,174,185,193,197,200,204,208,210,212,213,214,216,219,219,219,220,219,216,215,210,208,205,203,200,101,112,133,163,175,187,193,196,199,205,210,214,217,220,218,218,215,212,205,191,191,192,205,214,210,208,206,203,102,113,134,163,176,187,195,202,203,204,203,202,191,183,172,146,147,152,142,131,182,187,155,220,212,210,209,206,103,114,136,165,177,187,194,178,166,159,163,161,143,134,128,108,123,112,114,118,132,126,144,207,216,212,208,206,104,114,138,164,174,196,182,134,136,146,145,142,134,123,122,121,115,125,124,118,110,102,120,146,165,217,209,207,104,117,137,166,193,196,165,121,107,108,115,128,141,147,149,128,103,136,131,110,105,91,104,126,119,213,212,208,107,111,149,192,191,175,164,148,139,143,158,159,152,145,134,104,90,98,90,80,83,86,94,116,173,220,211,210,97,138,195,190,179,181,163,140,134,139,147,134,127,118,93,82,104,132,158,180,198,208,216,222,225,218,214,211,140,204,196,186,185,169,142,93,95,110,97,79,71,84,163,206,221,236,238,236,233,229,227,223,221,219,215,212,206,202,191,189,163,144,122,81,81,70,49,41,49,55,63,155,241,225,226,226,227,226,226,225,222,220,217,213,194,193,194,173,150,138,128,116,87,65,68,72,68,63,39,85,240,227,230,230,229,228,228,226,224,219,219,215,192,195,176,147,137,132,146,152,102,67,73,71,68,65,57,62,218,235,230,230,230,229,229,227,224,220,218,215,191,170,141,128,126,123,128,117,74,56,44,49,60,65,49,49,205,238,230,231,229,229,228,227,224,221,218,217,162,140,132,130,127,110,98,85,68,51,50,74,82,66,64,203,235,232,232,232,229,228,227,227,225,222,219,217,137,136,128,119,105,89,81,94,94,73,69,64,59,64,166,239,227,229,230,228,227,227,226,224,222,219,217,214,136,123,106,99,94,92,99,114,95,59,70,116,162,210,234,225,229,230,228,227,227,227,225,225,221,219,216,211,126,116,109,109,103,93,87,77,60,104,194,228,231,229,226,228,227,228,228,226,227,226,225,225,221,218,214,208,86,84,90,87,78,73,75,111,166,212,220,216,218,224,225,226,227,227,228,228,228,227,225,224,221,219,216,217,52,46,11,51,161,161,189,210,216,210,215,220,223,224,226,228,228,226,226,225,223,221,218,215,214,215,210,154,54,45,0,54,179,155,155,147,145,146,146,144,141,141,143,142,137,133,133,130,127,122,118,120,102,75,54,12,42,9,0,59,111,100,103,104,104,106,104,104,106,105,105,103,103,104,101,99,98,97,98,78,24,0,0,0,0,0,0,81,122,115,114,114,114,114,113,113,113,113,113,112,112,113,112,108,107,96,50,9,0,0,0,0,0,14,24,65,117,112,113,113,113,114,114,113,113,112,112,112,108,105,105,106,76,30,0,0,0,0,0,0
10,146,149,153,156,159,162,164,166,165,167,168,169,170,169,170,171,170,170,171,171,171,171,172,170,170,170,168,168,149,152,156,159,162,164,167,169,169,170,171,172,173,173,174,173,173,173,173,173,173,173,174,173,173,172,172,171,152,155,159,162,165,167,171,172,173,173,174,175,177,176,176,177,177,176,177,177,176,176,176,177,177,176,175,174,155,158,162,165,169,171,173,175,177,178,179,179,178,180,178,144,179,181,180,179,178,180,180,179,180,180,179,177,157,160,164,167,171,174,177,179,180,180,181,181,181,184,191,127,154,187,182,181,181,182,183,183,183,181,181,180,159,163,167,170,173,177,180,181,181,183,184,185,185,185,197,164,124,183,185,184,185,186,186,185,185,184,183,182,162,166,169,173,176,179,181,183,185,185,185,186,188,188,197,192,137,161,191,187,187,187,188,188,187,187,186,184,164,168,172,175,179,181,183,184,186,187,187,187,183,180,196,215,174,132,191,190,189,190,190,190,189,188,188,187,166,169,173,178,181,184,185,186,187,189,189,195,179,120,164,222,201,128,169,195,193,194,193,193,193,191,189,188,167,171,176,180,182,185,187,189,190,191,192,196,198,140,108,202,210,149,136,198,194,195,195,195,194,194,193,192,170,174,178,180,184,187,189,191,193,194,194,195,215,200,150,151,196,172,116,197,196,197,198,197,197,196,195,194,171,175,179,182,186,188,190,192,194,196,195,208,190,228,192,121,136,183,105,188,199,199,200,199,199,198,196,196,173,176,180,183,186,190,193,194,194,197,206,205,151,156,194,134,92,126,99,169,203,200,201,200,200,200,200,199,173,176,181,184,187,191,194,195,194,211,218,188,140,68,156,165,103,72,78,121,206,203,202,202,201,201,202,201,174,177,181,185,188,193,195,196,196,211,224,155,94,30,99,162,131,81,68,85,191,206,203,203,202,202,202,202,174,179,182,187,190,194,195,199,209,192,219,177,110,37,75,152,156,123,79,76,169,209,204,205,205,203,202,202,175,179,184,188,192,194,195,202,223,208,192,216,182,85,89,177,173,150,89,69,157,212,206,207,208,205,204,203,176,179,183,189,193,195,196,199,203,223,196,178,201,153,141,199,179,154,97,65,151,215,208,208,208,206,206,205,175,179,183,187,191,193,195,199,179,188,185,132,176,182,125,204,180,146,106,68,145,215,209,209,208,207,206,206,176,180,184,187,190,194,195,199,210,181,162,138,119,168,190,216,188,144,98,71,145,214,208,208,207,206,206,206,176,180,184,187,190,193,194,198,220,209,165,149,145,219,230,215,181,134,94,74,153,214,208,207,207,206,206,207,176,180,184,187,190,194,196,197,210,217,186,180,175,230,221,201,169,120,93,79,145,215,209,208,208,207,207,207,178,182,185,189,192,194,196,199,205,218,197,207,184,225,210,182,156,121,109,89,135,216,210,209,209,209,208,207,174,179,185,188,192,196,197,200,203,212,210,216,188,201,203,177,160,134,133,97,145,217,210,210,210,210,209,208,109,115,119,122,127,134,138,139,142,202,219,214,196,173,191,177,175,148,133,94,147,199,197,200,202,204,205,206,95,95,94,92,92,94,95,96,93,152,214,200,186,169,173,182,191,152,119,92,98,107,110,112,116,118,118,122,99,99,99,103,105,104,102,101,102,109,194,182,176,168,168,186,190,148,111,90,104,104,102,103,102,101,100,100,98,98,99,101,102,104,103,101,102,96,169,184,176,172,179,176,180,148,107,90,114,112,109,113,112,113,113,115
15,116,125,134,138,139,144,150,157,161,166,170,173,176,178,181,183,185,189,191,194,196,197,199,200,202,202,203,204,119,126,135,138,140,144,151,157,161,167,171,174,176,179,182,184,187,190,192,195,197,199,200,201,203,204,205,206,119,127,135,139,142,146,152,158,163,168,172,174,176,179,183,186,189,191,195,197,198,199,202,203,204,204,206,207,121,129,137,140,143,148,154,159,164,168,171,175,178,181,184,187,190,192,196,197,197,200,202,204,205,205,206,207,120,129,136,139,143,147,153,160,164,168,172,175,178,182,185,187,190,192,195,197,200,201,203,204,204,205,207,207,129,135,144,146,147,155,160,164,161,165,168,172,177,182,184,187,190,195,198,197,200,203,204,206,207,207,208,209,160,148,154,155,156,167,174,176,180,178,170,167,169,170,179,180,174,175,184,200,203,203,206,207,208,208,208,209,144,125,131,139,152,166,169,177,193,187,178,179,183,190,186,187,187,166,152,144,187,209,204,208,208,209,210,210,114,112,119,122,129,140,147,162,187,194,193,193,193,196,200,186,183,199,157,128,118,178,212,206,208,209,210,210,126,137,140,139,141,144,149,151,158,172,186,204,208,180,183,190,155,207,156,130,144,124,178,214,205,210,209,210,125,134,140,142,147,154,156,166,158,141,148,153,177,175,158,167,147,211,160,119,158,164,110,184,211,207,209,211,126,136,141,141,147,151,156,184,150,132,123,134,163,171,139,134,139,175,156,138,157,166,120,111,206,209,208,209,126,136,140,141,147,149,169,197,133,121,131,149,176,169,143,132,141,130,131,144,159,147,111,88,137,218,206,209,127,136,140,142,146,151,164,208,146,121,150,161,174,161,139,134,135,135,134,148,161,158,113,92,85,157,216,211,127,136,141,141,147,150,180,211,206,170,150,137,141,135,118,119,122,131,145,155,159,155,122,95,93,89,145,208,127,136,140,142,146,149,191,213,200,209,183,132,85,81,82,76,81,101,130,147,142,136,115,104,103,97,86,118,127,135,139,141,147,151,173,210,203,185,192,201,126,54,64,57,62,69,97,137,143,138,129,127,116,105,100,93,117,122,127,130,135,137,142,192,205,183,177,207,134,71,65,60,69,63,94,149,158,157,151,144,129,111,102,102,97,100,102,101,104,102,111,208,197,181,169,167,101,78,68,63,74,71,83,131,151,155,153,145,130,113,101,107,105,105,106,107,109,110,111,183,210,187,153,146,127,82,69,71,75,82,92,105,127,136,142,138,128,112,104,106,106,105,106,109,109,112,109,119,162,178,163,151,143,101,77,77,73,81,96,99,110,130,135,129,118,112,109,106,106,107,108,108,109,111,112,110,111,116,118,118,111,104,85,81,72,77,94,103,95,116,127,124,117,113,111,111,107,107,108,109,110,109,110,111,111,114,113,112,111,116,113,100,99,93,103,115,106,106,119,116,112,107,108,110,106,106,106,109,110,110,112,112,112,115,116,116,117,125,130,144,140,125,139,147,152,143,137,131,111,102,114,118,106,106,106,107,109,111,111,111,112,114,114,115,115,115,114,138,131,152,178,180,173,167,152,140,121,118,136,133,105,106,106,107,109,111,110,111,112,115,115,115,115,117,115,114,114,129,151,162,167,148,132,121,127,135,138,152,105,106,107,107,109,109,111,111,112,113,113,114,114,113,115,116,117,118,112,125,135,122,134,142,135,127,140,165,105,106,107,108,108,108,110,111,111,111,112,112,113,114,115,115,116,117,117,117,115,130,149,151,127,133,149,166
3,184,185,186,185,186,186,185,187,185,185,185,183,182,182,182,181,181,179,177,175,173,172,171,169,168,167,166,164,185,186,187,187,187,187,187,188,186,185,186,184,183,183,182,181,175,178,178,176,175,172,171,171,169,167,166,164,188,187,188,188,188,188,188,188,188,187,186,185,184,184,180,197,138,158,182,176,176,174,172,171,169,168,168,166,189,188,189,189,189,190,189,189,189,188,188,188,186,183,189,192,117,160,184,177,176,175,175,173,171,169,169,168,190,191,192,193,191,191,191,190,191,190,189,189,189,183,206,164,115,180,183,179,177,176,176,175,174,171,169,168,194,193,194,195,194,194,193,192,192,192,190,190,187,195,206,129,140,189,182,183,182,180,178,176,175,173,171,169,195,195,195,196,196,196,195,196,195,193,193,193,187,216,190,117,164,193,185,185,184,183,180,178,176,175,173,172,196,197,198,199,197,198,198,197,196,195,196,191,206,209,157,117,184,193,189,188,185,183,182,180,178,177,175,174,198,200,201,200,201,200,199,199,199,198,198,195,212,189,122,145,189,179,186,188,190,185,182,182,180,180,178,175,201,202,203,203,203,202,203,202,202,201,199,198,207,194,159,168,187,179,187,179,173,186,187,182,184,183,181,179,202,203,204,205,204,204,204,204,203,203,201,200,209,215,198,171,171,172,175,188,171,138,182,189,178,179,184,181,204,205,206,206,205,206,205,205,205,204,204,201,227,204,181,184,175,155,149,137,162,146,132,160,165,140,176,185,207,207,206,207,207,209,208,207,206,207,202,212,231,206,187,173,158,144,121,122,102,153,153,128,139,133,181,185,209,209,209,209,209,209,209,208,208,207,209,234,220,176,134,122,152,143,128,122,109,107,139,121,110,176,189,185,210,211,211,211,210,211,210,210,209,208,229,235,183,136,104,88,167,192,144,124,114,111,95,107,142,196,187,187,211,211,213,212,212,212,212,212,208,220,244,211,147,115,100,90,119,211,203,183,139,108,114,113,160,197,188,188,212,213,214,213,214,214,213,215,202,233,239,191,143,120,96,89,83,129,200,223,157,102,125,118,181,196,190,189,215,215,215,215,216,215,215,217,202,225,223,193,144,106,92,86,90,84,112,156,110,123,130,130,194,196,192,191,216,216,216,216,216,216,216,218,207,218,231,203,153,115,93,91,96,106,106,103,105,133,130,139,200,195,193,191,217,218,218,218,218,218,218,219,206,215,239,204,166,130,101,97,107,114,124,136,128,130,129,150,204,196,194,193,218,218,219,220,219,219,219,220,206,212,244,211,172,137,117,98,110,125,141,150,140,127,119,164,206,196,196,196,219,220,220,220,220,220,219,222,207,207,247,214,176,150,132,103,111,138,152,152,143,124,133,196,202,198,197,196,219,219,220,221,222,222,222,223,210,202,240,211,183,153,136,110,113,140,146,142,134,126,188,210,202,201,198,197,220,221,223,223,222,222,222,224,212,201,237,215,187,155,132,116,116,134,140,136,124,146,209,205,203,202,200,198,222,223,223,224,225,224,224,225,217,199,230,215,186,154,133,125,119,131,136,132,125,185,211,205,204,204,201,200,222,223,223,224,224,224,224,226,218,208,230,207,181,155,140,132,121,127,132,128,170,213,208,207,205,203,202,200,223,224,224,224,224,224,224,226,219,207,234,207,184,161,146,134,126,128,131,167,215,210,210,208,206,204,202,200,223,224,224,224,224,225,225,227,217,206,227,199,181,162,139,131,132,128,150,212,215,212,211,210,209,207,203,201
6,209,209,210,211,211,212,213,212,212,213,214,214,213,213,211,210,211,211,211,209,209,208,208,206,205,206,204,203,209,210,211,212,213,213,215,215,215,215,215,215,215,215,212,211,212,212,211,211,210,209,210,209,206,206,207,206,210,213,213,214,214,215,216,216,216,215,215,215,216,216,214,213,213,212,212,212,211,211,210,209,208,207,207,206,211,213,215,214,216,217,216,216,218,216,217,216,215,215,215,215,215,214,213,213,211,212,211,211,210,207,208,206,213,215,216,215,217,219,219,219,220,219,218,218,217,217,216,216,214,215,215,214,214,214,212,206,205,214,207,206,214,215,216,216,217,219,220,220,220,220,218,218,218,219,217,217,218,218,216,213,210,201,199,178,211,238,192,198,215,216,217,218,221,220,221,221,220,221,221,222,220,218,215,212,204,196,199,204,200,191,192,179,194,208,168,200,217,218,218,220,223,224,223,222,221,221,217,215,215,210,197,189,168,175,183,199,189,178,159,147,143,159,192,212,217,219,220,222,223,225,225,224,223,217,190,188,176,185,199,190,181,156,165,162,145,131,134,155,179,205,214,210,219,221,221,223,224,226,226,223,218,209,197,198,168,127,154,152,138,119,128,135,160,180,208,220,219,216,212,212,221,223,223,226,227,226,223,206,209,211,213,201,155,113,99,98,102,129,172,212,224,224,218,216,216,216,214,214,224,225,226,228,224,219,213,206,200,205,211,186,138,111,102,107,181,212,228,225,222,220,220,220,218,216,215,215,225,225,225,222,217,213,209,203,194,201,200,192,175,124,104,105,208,233,220,224,224,223,223,221,219,217,217,217,225,223,222,218,214,205,203,201,196,198,202,206,189,136,107,102,115,228,225,225,224,223,223,221,221,219,219,217,220,222,225,217,208,203,204,203,200,200,202,199,186,144,105,109,96,166,239,225,226,225,223,222,222,221,220,219,231,233,226,216,209,204,202,204,201,196,200,201,197,170,112,102,106,106,218,231,226,226,225,223,222,222,221,219,238,234,220,212,214,205,202,201,204,205,208,208,200,166,118,103,101,96,214,233,227,227,227,225,224,223,223,221,233,224,216,217,212,204,201,201,200,193,191,188,175,149,123,109,93,157,241,227,229,228,227,227,225,224,223,221,236,221,211,214,202,201,205,198,193,182,176,173,160,140,128,118,93,154,245,229,231,229,228,227,227,227,225,223,238,229,209,197,197,202,205,201,191,182,174,174,162,134,127,127,110,100,222,237,232,230,229,228,227,227,226,223,222,224,200,185,188,197,197,194,184,172,156,151,133,120,121,134,113,99,222,238,233,232,229,228,228,228,226,225,121,171,177,167,176,186,185,176,162,149,137,126,93,104,123,129,105,181,242,234,234,233,231,230,229,229,228,227,82,92,131,147,157,169,164,150,132,119,111,105,98,113,124,132,200,243,236,235,235,234,233,231,229,229,229,227,85,85,81,92,104,124,134,127,136,161,184,156,138,141,177,224,244,237,237,235,235,235,234,232,232,230,229,228,80,82,81,60,57,67,72,79,222,250,248,246,239,240,245,242,240,239,238,236,235,236,236,234,233,232,229,228,77,75,85,75,54,61,46,129,251,240,241,241,241,241,239,239,240,238,237,239,236,235,235,234,233,231,229,229,74,72,80,80,55,59,52,210,251,240,243,242,241,241,240,240,239,239,238,238,236,236,234,234,233,231,230,229,71,70,81,81,59,47,112,252,240,243,242,242,242,242,242,241,240,240,239,239,237,237,236,235,233,232,231,229
1,65,89,90,95,102,120,140,154,159,166,172,176,181,189,190,194,194,195,198,198,199,201,202,202,202,202,203,201,74,89,92,97,103,124,145,158,163,171,178,179,193,215,148,190,201,201,201,202,202,202,203,203,203,203,203,202,82,90,93,99,105,127,149,161,168,176,184,185,207,228,125,147,158,192,212,208,208,208,208,206,205,205,204,204,88,90,96,100,107,131,153,165,172,177,218,184,172,235,127,136,150,147,224,212,215,215,215,213,210,209,208,208,92,92,96,101,110,135,156,167,175,179,235,189,139,228,126,129,170,114,215,222,220,220,220,218,217,215,214,214,91,92,98,103,114,140,160,171,179,183,235,200,129,208,132,123,172,105,199,234,225,227,226,224,223,222,220,219,93,93,99,103,117,144,164,174,182,187,239,201,114,194,154,130,182,120,182,242,230,232,232,230,228,227,226,225,95,95,100,104,122,149,168,176,191,206,211,207,112,158,148,125,188,128,167,250,235,237,237,236,234,234,233,231,95,95,102,105,125,153,173,175,210,209,185,208,114,139,150,109,181,133,160,254,241,243,242,240,239,239,238,235,97,98,103,106,128,157,177,175,235,203,165,205,114,156,167,111,204,163,157,255,245,246,246,245,245,243,241,241,98,100,105,108,132,159,180,181,240,185,152,224,128,145,163,113,203,180,148,255,250,251,251,250,248,247,246,245,98,100,104,109,136,164,183,185,241,180,134,216,136,112,146,123,194,180,132,252,255,254,254,252,250,250,251,250,98,100,103,110,140,167,186,191,246,184,113,190,126,102,137,142,209,180,128,249,255,255,255,255,255,255,255,255,99,101,103,112,143,170,189,194,252,203,105,173,176,167,161,183,214,152,114,234,255,255,255,255,255,255,255,255,100,102,104,114,147,174,193,197,250,201,116,184,229,184,165,175,176,148,100,202,255,255,255,255,255,255,255,255,99,101,104,116,150,177,197,201,249,212,172,176,147,163,154,152,143,157,137,164,255,255,255,255,255,255,255,255,99,102,104,119,154,182,198,204,255,233,177,154,128,154,156,169,157,185,185,142,206,255,255,255,255,255,255,229,98,102,104,121,158,186,199,210,255,231,172,140,137,158,166,235,223,202,226,190,126,235,255,255,250,189,120,74,99,102,104,124,161,189,202,214,255,227,161,136,144,165,202,255,255,215,241,193,112,177,255,164,85,64,59,64,98,101,103,127,164,191,204,213,255,234,163,138,154,175,220,254,255,255,214,152,107,166,151,70,61,57,72,56,96,99,101,128,165,192,205,212,255,241,173,139,159,187,232,255,255,250,198,140,117,92,58,82,79,39,67,67,97,99,101,130,168,196,207,213,255,248,198,146,161,190,234,255,255,231,187,141,112,82,63,51,84,47,41,72,90,93,96,129,170,197,210,215,248,250,217,160,162,189,234,255,246,215,176,136,108,80,69,37,63,70,29,53,110,106,107,136,173,200,212,219,241,243,226,175,166,181,234,255,235,207,163,128,104,81,59,44,39,72,40,34,148,146,147,146,147,156,163,167,178,233,231,185,181,176,221,239,226,196,152,122,96,76,67,43,31,60,56,23,141,141,142,143,143,145,145,148,141,201,237,197,186,175,196,225,209,177,139,113,88,52,71,48,24,50,67,30,143,143,146,148,150,150,152,154,151,163,223,202,186,178,170,199,188,157,123,101,89,54,57,49,26,38,69,48,142,144,144,146,147,149,150,153,154,149,199,214,190,183,162,171,177,145,112,88,91,69,40,25,37,30,63,61
0,207,209,213,215,216,218,219,223,222,219,220,221,221,219,221,219,218,217,217,217,214,212,212,209,208,208,206,205,208,211,214,217,219,219,220,223,222,221,222,224,224,222,222,220,219,220,217,216,214,212,212,212,212,210,208,207,208,212,216,217,219,220,221,224,224,224,224,225,223,223,224,226,225,218,219,224,218,215,213,209,198,209,210,210,211,212,215,218,221,223,224,226,226,226,227,228,230,226,223,205,209,231,212,187,214,219,221,216,142,192,216,209,211,214,218,220,222,224,225,227,230,228,227,213,193,219,206,148,113,168,179,123,115,212,230,209,117,194,218,210,212,216,219,221,222,225,226,222,210,232,230,182,122,113,170,152,119,75,127,146,86,153,233,187,110,203,217,212,215,218,221,224,226,224,227,212,145,138,213,177,136,85,144,166,143,96,121,155,103,141,217,184,99,186,224,212,216,219,222,225,225,227,231,208,175,106,164,197,144,113,141,183,143,103,115,156,102,111,208,170,82,143,231,213,217,221,224,226,225,242,230,222,195,144,122,208,151,112,114,184,140,96,109,150,103,65,164,164,85,97,227,214,219,221,224,224,233,231,207,242,195,155,100,184,153,107,97,180,139,84,83,121,90,64,136,171,87,95,227,216,220,222,225,223,251,248,183,221,189,168,92,143,159,111,83,167,126,70,58,84,70,87,171,160,78,131,233,216,219,224,225,231,246,229,189,190,161,128,70,118,153,98,66,113,86,64,73,89,68,109,172,151,75,168,231,217,221,225,226,234,238,208,168,179,137,82,65,115,105,76,71,93,87,60,84,86,75,146,169,149,79,201,226,219,222,226,228,228,255,250,214,171,117,107,80,111,111,59,60,119,83,67,111,99,110,164,173,128,88,224,223,221,222,226,229,231,254,254,233,197,134,116,83,132,136,68,99,134,138,167,167,158,142,156,141,96,102,236,221,223,223,226,229,232,254,255,239,214,172,135,126,117,123,176,210,204,205,195,172,165,139,113,106,69,122,241,221,224,222,227,230,232,251,255,238,206,180,145,133,149,179,222,210,214,196,183,169,154,131,90,88,57,181,236,224,225,221,224,229,230,244,250,234,210,193,159,139,164,193,215,206,203,188,173,161,140,118,93,58,136,237,224,226,225,222,225,228,231,238,245,231,214,197,170,151,183,187,201,204,191,175,158,144,127,109,64,104,236,228,227,226,224,223,227,230,233,233,241,230,216,197,174,152,166,179,184,201,180,163,148,132,117,80,79,221,234,228,228,227,225,224,227,230,233,232,235,230,214,198,172,148,138,161,169,178,168,153,139,119,87,69,205,238,228,230,229,225,226,225,226,229,232,234,234,235,215,202,172,132,122,142,151,147,143,138,121,83,67,188,241,227,230,230,228,236,218,226,228,232,242,243,229,207,206,190,148,112,122,132,135,123,111,109,79,116,205,243,231,235,236,232,237,162,83,212,215,220,178,207,246,207,194,173,152,140,137,124,124,107,91,63,154,233,229,223,229,219,205,220,146,48,39,128,132,127,24,138,255,221,206,185,175,157,132,108,110,94,71,60,122,122,125,125,102,70,56,65,42,37,32,124,128,91,60,76,174,210,205,191,170,142,115,97,92,79,53,80,114,101,73,47,29,24,31,31,33,28,24,132,127,76,74,64,64,112,162,169,153,122,100,87,78,60,30,56,87,48,32,29,28,21,21,28,34,28,26,132,111,73,72,67,62,49,73,108,108,89,74,65,54,33,9,0,13,33,22,22,24,20,16,18,27,30,28
12,155,155,157,158,159,160,162,162,163,163,163,162,162,162,161,161,160,160,159,159,159,158,158,157,156,154,154,155,156,157,159,159,161,162,163,163,163,164,164,164,164,162,163,164,162,160,161,160,159,160,159,158,157,157,156,156,157,158,159,161,162,164,164,165,165,165,166,165,165,165,165,165,164,162,162,162,161,161,160,160,159,159,157,157,158,159,161,163,164,164,165,166,166,166,167,167,166,166,166,164,165,164,164,163,163,163,162,161,160,160,159,158,159,161,163,165,165,165,167,168,168,168,169,169,169,170,168,166,167,169,170,164,164,163,164,163,162,161,160,159,160,163,164,165,166,168,168,170,170,170,171,168,167,160,167,171,162,140,140,171,168,167,165,165,164,163,162,160,162,164,165,167,168,170,171,170,171,172,170,177,167,131,113,166,156,118,70,140,156,151,170,167,164,163,163,162,164,165,167,169,171,171,172,173,172,173,174,182,166,130,75,127,151,116,83,89,132,89,107,170,165,164,165,163,165,167,170,171,172,171,173,173,174,172,152,176,155,117,72,112,177,132,101,85,121,92,62,126,175,164,166,165,166,167,170,171,172,173,174,173,187,175,124,147,165,125,60,124,213,145,110,106,128,95,65,107,178,166,166,166,168,169,171,172,173,174,172,188,203,175,138,107,197,156,66,112,197,126,88,149,141,105,57,119,179,167,168,168,169,170,171,173,175,177,173,194,196,180,139,88,177,144,87,97,127,99,102,178,126,80,52,131,179,169,170,169,170,171,172,174,176,176,177,205,180,158,118,81,81,99,80,85,128,164,158,129,88,56,61,159,176,171,171,170,170,173,175,176,177,175,198,200,172,118,95,81,47,54,133,163,163,164,150,121,116,68,103,183,171,172,171,172,172,173,175,177,177,178,211,190,155,120,118,68,46,139,195,187,166,152,130,113,117,76,119,186,172,174,173,172,173,174,177,178,178,180,212,193,133,137,140,77,124,202,193,186,165,146,132,111,101,64,128,186,174,176,174,173,174,175,177,179,177,188,214,194,166,150,129,148,190,196,193,180,164,140,125,105,85,55,145,185,175,176,175,174,174,176,178,181,178,194,214,199,182,171,136,165,190,197,185,175,157,129,115,97,78,48,137,188,175,177,177,176,175,176,179,181,179,193,211,202,188,174,144,175,186,188,174,164,144,121,108,88,74,46,135,189,177,179,177,177,177,178,180,183,181,190,206,200,193,171,145,164,180,171,165,158,131,110,94,79,62,53,168,183,179,180,178,177,178,178,180,182,180,186,206,201,193,159,138,156,163,167,157,145,117,99,86,72,46,131,188,180,182,181,180,178,178,178,181,182,191,189,195,194,171,139,138,156,162,168,157,134,118,99,81,59,132,190,181,183,183,182,180,180,177,178,182,182,136,177,196,180,167,162,157,155,169,171,151,121,115,93,56,131,197,182,183,183,183,183,181,180,178,178,188,158,59,97,196,193,184,171,153,137,159,159,128,105,101,63,100,192,184,185,184,183,183,183,182,181,179,180,184,105,87,69,101,155,149,140,133,125,146,135,107,97,73,77,185,189,185,186,186,184,184,183,183,182,177,188,157,78,87,83,33,65,66,65,61,63,84,88,86,76,60,165,194,186,187,187,187,185,185,184,184,183,176,182,112,80,83,90,32,40,58,54,45,39,36,39,45,33,54,174,190,187,188,187,187,186,185,184,184,183,184,155,82,83,81,87,28,26,50,51,44,41,39,37,31,26,13,113,200,185,187,186,187,185,184,184,183,181
0,198,196,196,197,197,197,196,195,196,197,197,197,196,196,195,195,194,193,193,192,190,189,189,189,187,185,185,185,200,199,199,199,199,200,199,199,199,199,199,198,198,197,196,196,195,194,194,193,193,191,191,191,189,188,187,186,202,202,201,202,202,202,201,202,201,200,200,200,200,199,199,198,197,195,196,194,194,193,193,192,190,188,187,187,202,202,202,202,202,202,202,202,202,201,202,202,201,199,201,200,199,198,198,196,195,195,194,193,193,191,190,189,203,203,203,203,203,202,202,202,203,203,203,204,203,202,201,202,201,201,200,199,197,194,194,195,194,193,192,192,205,204,205,204,203,203,203,203,204,203,204,204,203,203,194,182,192,199,183,178,193,177,169,197,195,194,193,193,205,205,205,205,204,204,204,204,205,204,204,205,204,196,164,131,126,160,144,122,137,169,126,188,197,195,195,192,206,206,206,206,206,206,207,206,206,208,204,185,163,166,157,128,93,100,139,116,92,161,122,156,200,196,196,194,207,207,208,207,207,207,206,204,188,184,191,164,118,99,148,136,113,102,142,120,88,146,141,104,176,199,196,196,208,208,209,208,208,208,204,192,155,120,170,157,120,85,142,142,125,102,148,123,81,121,150,108,108,176,198,196,209,209,209,209,209,208,194,185,157,120,156,163,131,95,137,146,119,98,150,125,74,89,157,131,93,123,202,197,209,210,210,210,210,204,183,178,167,136,143,168,131,97,120,147,115,83,126,108,65,93,162,139,86,129,203,199,212,211,211,211,210,199,172,161,166,142,128,162,127,96,102,141,107,54,73,71,57,131,170,134,80,168,202,199,213,212,210,211,209,195,182,147,150,132,100,144,129,99,70,91,73,35,57,61,99,165,166,114,99,197,202,201,214,213,212,212,207,189,167,123,123,94,61,111,118,88,41,42,58,94,129,121,148,169,146,89,139,205,202,202,213,214,214,214,204,188,174,139,108,73,50,66,81,56,41,72,130,165,167,156,141,153,123,72,175,206,203,203,214,215,215,215,202,191,185,160,124,101,86,89,99,105,124,155,176,175,166,157,124,117,90,83,199,206,204,203,215,215,215,215,201,191,192,168,140,118,108,119,146,168,179,186,187,175,159,145,107,83,65,146,209,207,205,203,215,215,215,215,201,185,192,172,147,120,119,131,172,187,191,192,185,165,147,130,90,56,115,203,208,207,206,205,214,215,214,215,205,178,185,174,154,131,128,146,186,192,191,190,174,151,130,109,65,95,197,210,208,208,208,206,214,215,214,214,211,180,182,179,162,148,138,158,185,192,190,178,155,138,115,82,74,182,210,209,207,207,207,205,215,215,215,215,216,188,175,181,172,158,141,161,182,184,180,162,137,119,93,65,155,210,207,208,207,207,206,204,215,216,216,215,215,200,171,178,171,155,140,154,174,169,159,140,116,94,63,125,208,210,209,208,207,206,205,205,215,215,216,216,216,211,177,174,163,148,138,147,164,155,140,119,91,61,102,201,212,211,209,208,208,208,207,206,215,215,215,216,217,210,182,174,158,143,139,143,157,147,122,100,63,96,195,213,212,212,211,209,209,208,208,207,215,215,215,215,216,202,182,173,165,160,154,147,151,140,109,76,72,189,214,213,213,213,211,210,209,209,207,206,215,215,215,216,215,186,180,180,175,170,159,149,145,127,91,59,130,216,214,214,213,212,213,211,210,210,207,205,183,186,189,192,193,173,182,188,180,170,160,149,133,107,80,60,170,214,214,215,214,213,212,211,210,209,207,205
10,105,108,111,114,114,117,119,120,122,122,122,123,124,128,132,132,129,130,131,130,131,133,132,131,129,130,131,131,110,113,116,119,120,121,123,125,125,126,127,128,130,132,133,129,132,133,134,134,134,134,135,134,132,132,132,133,116,118,122,123,126,128,129,130,131,132,132,134,135,134,162,101,104,142,136,139,139,139,138,138,136,134,134,133,121,125,129,129,131,133,134,136,136,136,139,139,139,138,177,101,78,151,140,142,142,143,142,142,140,139,138,137,126,129,134,135,137,138,138,141,141,140,144,144,142,144,182,112,70,151,144,146,148,146,144,143,144,143,142,141,132,134,138,141,143,143,144,145,149,146,146,147,147,148,186,126,72,153,150,149,149,150,148,148,148,146,144,143,137,139,144,148,146,146,148,155,145,155,157,157,154,153,190,139,75,153,157,155,154,154,153,151,151,150,148,147,141,143,148,151,150,151,153,168,98,70,142,134,152,160,193,153,74,148,163,161,160,160,158,156,154,153,154,152,145,148,152,154,157,157,161,140,58,8,44,52,92,172,191,159,70,143,169,164,165,163,162,160,159,158,158,155,149,153,155,158,161,160,163,164,79,16,38,36,48,174,207,171,69,145,174,167,169,169,167,165,163,162,161,158,150,156,160,162,163,165,165,174,149,70,119,63,29,158,175,148,66,151,177,171,172,172,172,171,169,166,165,164,156,160,164,167,167,166,173,188,148,54,174,129,51,84,75,93,59,152,182,177,177,177,175,173,173,171,169,168,160,163,167,169,173,168,168,203,158,17,127,165,88,25,29,58,49,155,185,179,180,180,179,177,175,174,171,171,162,167,171,171,184,198,178,200,173,48,43,185,129,54,33,64,40,154,187,181,184,183,182,181,179,177,177,175,166,170,173,175,181,210,174,184,179,98,0,150,174,92,41,57,37,159,192,185,186,186,184,184,183,182,180,178,167,173,176,178,177,166,141,122,223,163,17,61,190,130,62,37,36,152,196,186,187,187,187,188,186,186,181,179,171,176,178,180,183,170,137,95,176,118,5,35,151,149,103,40,29,157,201,191,190,191,190,190,188,186,185,184,175,178,180,181,186,191,135,121,104,18,31,93,130,148,106,42,23,164,202,194,194,194,194,193,190,187,186,187,177,180,183,185,187,203,176,126,96,59,144,199,155,121,92,44,30,174,201,196,195,195,195,193,192,190,189,189,179,183,185,188,189,214,180,152,151,133,211,212,163,104,80,45,55,199,197,197,199,196,196,194,193,193,192,191,183,186,186,188,191,207,195,177,168,152,218,196,151,103,71,40,80,211,197,199,199,198,198,196,195,195,195,193,183,186,188,192,192,203,197,169,166,159,210,178,137,97,66,35,89,214,200,202,202,201,200,198,197,197,196,195,185,189,191,195,193,196,199,185,186,154,186,169,125,89,59,32,97,217,201,204,204,203,202,202,201,198,196,195,187,190,191,194,196,192,190,191,184,146,181,167,116,80,58,36,112,217,203,205,205,205,203,202,202,200,198,198,187,193,193,194,197,196,191,186,167,130,163,159,115,84,62,39,147,216,204,206,205,204,204,204,203,202,201,200,188,192,193,194,197,195,203,175,140,132,159,133,129,108,58,55,197,212,209,210,209,206,207,206,205,204,203,202,189,191,193,196,198,192,211,193,169,158,153,140,150,121,42,103,219,210,212,211,212,212,210,209,208,207,205,204,186,188,193,195,195,182,209,202,183,166,141,145,139,102,34,167,218,209,211,212,211,209,211,211,209,208,205,204
2,183,183,183,183,183,183,183,182,181,180,181,181,180,179,178,177,176,175,177,175,174,173,173,174,171,169,168,167,184,184,185,185,184,184,184,184,184,183,182,183,183,182,180,180,179,177,178,176,176,174,174,173,172,170,169,169,185,185,186,186,186,185,185,185,185,185,184,184,184,183,181,176,174,177,177,180,180,179,176,173,173,171,171,170,186,187,188,187,187,187,187,186,187,187,185,186,183,188,188,173,165,166,161,158,163,171,181,175,175,173,172,173,187,189,188,188,188,189,189,189,189,188,187,184,196,201,187,180,175,166,160,143,135,114,132,184,176,175,175,172,189,190,189,188,190,190,189,189,189,188,186,196,205,200,195,195,194,175,164,162,133,129,98,148,179,178,174,173,190,191,190,190,191,190,190,191,190,187,193,203,202,206,145,127,155,121,114,163,157,147,126,109,117,161,178,174,192,192,192,192,192,191,192,192,191,189,201,204,190,169,114,76,82,80,80,109,130,116,89,89,82,156,182,174,194,194,193,194,195,194,194,192,194,203,215,170,121,103,87,78,76,83,170,159,167,147,112,98,130,182,178,177,195,196,196,195,195,196,194,196,212,218,203,154,112,87,69,71,72,130,196,189,189,190,185,178,184,180,179,178,195,197,197,196,196,197,194,208,218,213,182,145,118,98,84,69,119,187,186,187,187,184,185,186,183,182,180,180,198,198,198,198,198,191,204,218,212,184,142,114,103,90,76,123,198,189,190,189,187,186,185,186,185,182,181,179,199,200,200,200,193,204,225,217,199,181,135,85,81,86,79,175,195,189,190,190,189,188,186,186,185,182,182,180,200,201,201,194,205,229,224,204,185,181,135,98,84,73,118,200,191,192,192,191,191,190,188,186,186,185,183,181,201,204,197,205,230,226,208,194,196,158,119,96,77,66,178,201,194,192,193,193,191,190,189,188,188,187,182,182,205,202,200,229,231,220,201,204,182,141,117,84,76,67,158,207,194,194,195,194,193,191,194,190,178,181,189,183,205,200,225,234,228,213,201,191,164,135,105,68,73,74,87,186,199,196,195,194,193,196,177,154,151,134,164,189,200,216,236,228,220,205,193,183,158,118,87,69,76,79,72,120,208,193,199,200,199,159,134,152,159,109,145,191,210,236,229,220,208,200,185,172,141,102,81,81,89,90,87,84,175,208,188,155,124,125,147,154,112,138,189,184,237,238,224,214,200,187,175,159,122,98,84,95,103,104,100,88,94,140,110,111,103,125,145,109,118,197,188,187,143,212,223,205,195,178,168,145,119,99,90,105,108,107,100,96,87,96,99,118,126,123,114,74,177,194,190,190,77,100,166,181,174,169,155,143,115,89,93,110,105,104,101,96,94,106,113,117,120,101,73,112,198,190,191,190,86,78,77,121,139,129,123,105,85,84,90,102,100,100,96,96,99,105,106,98,90,107,151,191,196,193,192,191,76,82,77,73,84,87,79,68,74,79,79,91,96,94,84,83,78,78,94,131,169,198,205,198,197,196,193,192,77,75,74,79,75,54,60,66,63,64,69,76,71,67,88,106,115,149,192,208,207,202,198,197,197,195,194,192,76,71,73,70,80,59,36,49,48,47,62,74,97,145,193,208,211,212,206,202,201,201,200,199,198,196,195,193,74,72,70,67,79,73,34,39,44,35,78,189,217,217,212,208,206,205,205,205,204,204,202,201,199,197,196,194,70,67,66,64,72,74,35,35,39,38,32,71,196,213,208,210,209,209,208,207,206,204,204,202,199,199,197,195
7,159,163,168,171,174,176,176,177,176,178,179,180,179,179,179,178,178,178,177,177,176,175,175,164,180,185,192,195,164,169,173,175,178,179,180,181,182,183,183,183,183,182,181,179,179,179,178,177,176,175,175,173,187,141,198,195,171,175,178,181,183,184,186,187,187,187,188,187,186,185,184,185,184,182,181,180,179,178,176,176,175,150,196,195,177,180,184,187,190,190,192,192,192,192,192,192,191,190,189,189,187,187,186,184,183,181,180,178,185,197,188,195,182,186,190,193,195,197,197,197,198,197,197,197,196,195,195,194,192,192,191,188,188,185,183,182,180,170,148,193,187,192,196,198,200,202,202,202,202,202,202,203,202,201,200,200,199,197,196,194,193,191,187,185,184,179,168,194,191,196,200,203,205,207,207,207,207,207,208,207,207,206,205,203,204,202,201,200,197,195,192,190,188,186,184,199,196,200,205,208,209,210,212,212,212,212,212,212,211,210,210,208,208,207,205,203,201,199,197,195,193,191,192,208,201,205,209,211,214,215,216,217,216,215,216,216,215,214,213,213,212,211,209,208,206,204,201,200,197,194,195,211,206,210,214,217,220,218,210,190,174,186,194,199,198,196,193,190,199,206,210,210,210,207,205,203,201,197,198,213,210,214,218,219,217,213,202,167,121,136,159,175,168,168,168,158,150,156,163,163,181,192,204,206,204,202,201,214,214,217,216,214,213,207,196,165,133,131,140,154,153,156,159,148,130,142,147,143,154,154,180,183,205,172,175,214,213,212,213,217,216,211,197,160,123,135,141,149,145,148,154,147,130,124,129,136,146,150,173,160,185,88,134,214,216,218,218,222,220,212,191,155,109,117,130,148,155,150,154,140,139,132,141,152,139,139,145,151,159,95,85,160,222,219,219,223,217,209,190,144,110,120,126,136,141,144,142,139,134,129,139,151,140,138,143,161,170,141,84,72,222,223,220,220,221,214,207,164,103,98,94,87,115,130,131,130,130,133,136,137,130,128,127,126,141,119,80,70,225,220,217,221,213,207,213,171,102,90,92,86,114,170,222,221,222,220,198,143,85,83,81,80,81,75,72,70,218,211,209,211,198,198,196,154,106,95,97,98,92,90,190,200,150,117,84,65,60,54,54,66,64,66,69,69,211,209,204,198,192,191,187,153,102,88,98,108,104,91,88,72,62,61,68,66,57,58,54,55,58,58,65,66,204,200,194,191,190,191,196,162,98,70,56,88,98,88,85,66,59,49,62,70,59,49,55,56,55,60,56,35,191,187,191,190,189,186,183,155,99,74,65,73,91,100,99,69,57,56,47,63,66,52,44,50,53,64,33,11,181,174,173,169,164,162,149,121,96,84,74,66,44,62,70,44,45,63,50,47,60,64,49,40,44,45,38,30,170,157,141,134,129,128,124,103,89,78,51,68,39,34,52,55,38,54,59,47,50,59,59,42,41,38,40,37,153,147,129,126,124,133,128,81,52,62,30,58,56,25,41,59,47,40,58,56,47,48,57,52,36,38,38,38,125,134,136,149,179,196,95,75,50,53,33,43,61,31,29,53,58,38,49,58,49,45,44,52,38,35,37,37,117,211,226,237,232,123,68,72,58,38,44,29,52,47,19,43,59,45,44,50,52,44,39,43,45,29,33,37,66,170,172,176,141,72,67,58,46,48,36,25,38,55,21,29,53,53,45,46,47,44,36,36,44,33,27,32,48,135,134,119,89,65,59,57,33,48,39,19,25,55,33,18,46,57,46,46,43,42,35,34,37,39,25,27
13,203,204,205,205,205,205,205,206,205,204,205,207,207,207,208,208,206,206,207,207,205,206,206,205,205,203,202,203,204,205,205,205,205,206,207,206,205,207,208,207,205,205,203,203,211,211,209,207,205,205,207,207,206,205,203,204,205,205,206,206,207,206,206,206,206,207,206,208,219,221,203,170,164,194,192,207,208,208,209,208,207,207,205,204,205,206,206,206,206,207,206,206,207,207,206,227,237,235,221,177,134,112,142,146,210,208,208,207,207,207,205,206,206,206,206,206,206,206,208,208,206,207,208,197,200,225,227,187,142,99,125,103,178,216,206,209,207,208,208,207,206,206,206,207,208,208,207,209,209,178,195,195,173,192,218,200,154,104,138,145,160,219,208,209,209,209,208,208,205,206,208,208,208,209,205,224,224,169,171,197,201,207,201,205,180,106,138,137,151,220,209,209,210,210,208,208,206,206,208,209,209,208,207,239,226,193,169,140,177,202,195,167,133,96,88,141,199,213,211,210,210,210,210,209,206,207,207,208,207,218,180,162,207,216,195,135,82,156,199,173,149,131,107,127,221,211,212,211,210,210,211,210,205,207,207,201,220,227,163,117,140,226,207,167,82,74,127,156,182,194,169,113,157,224,210,212,211,210,210,209,206,206,205,221,231,205,157,138,100,200,219,170,130,73,73,94,205,216,202,167,111,184,219,209,210,210,210,208,206,204,215,231,198,194,170,159,96,153,227,181,164,97,82,76,157,229,215,183,140,118,209,211,209,210,209,209,207,208,222,199,163,188,183,166,117,85,206,209,183,136,71,106,173,217,217,183,161,117,171,220,209,210,210,211,206,212,227,210,174,175,196,164,154,94,105,220,198,172,117,138,230,211,200,174,161,119,167,222,210,212,212,212,205,213,222,207,188,161,178,186,183,145,65,126,211,201,189,156,219,205,183,151,134,107,183,220,211,211,211,211,208,211,224,221,204,182,153,173,190,168,147,76,177,202,188,203,209,191,174,145,114,105,204,215,212,212,211,210,200,200,225,231,218,196,181,168,172,171,186,125,202,221,215,218,202,184,164,139,108,127,221,216,217,215,214,213,130,126,215,234,224,206,190,186,188,170,144,164,221,232,231,209,197,181,157,129,104,144,204,198,202,202,204,205,115,97,184,237,225,214,200,190,195,195,166,161,210,230,226,209,184,168,150,121,110,115,120,124,123,124,123,125,120,109,144,231,221,220,215,202,195,193,184,150,177,225,217,203,181,154,135,116,109,116,110,104,105,115,143,168,118,118,113,205,214,215,217,214,202,193,181,166,151,205,206,189,172,146,126,114,106,118,135,154,181,203,214,207,117,121,110,149,219,209,217,221,207,194,179,166,154,172,194,175,152,139,124,106,111,176,212,219,215,208,212,205,117,117,119,108,183,217,213,213,199,187,174,162,152,152,169,168,153,136,120,93,164,241,220,207,200,187,188,197,118,118,119,112,123,214,210,196,184,176,168,159,140,135,155,172,160,127,108,98,215,227,213,202,179,160,156,171,117,117,116,119,105,186,219,186,168,170,165,156,139,123,158,183,149,117,93,143,243,219,218,202,159,133,153,162,118,118,115,120,108,154,222,192,182,182,169,152,139,123,163,181,129,112,89,202,233,214,230,213,164,120,138,162,117,119,115,120,109,139,224,203,195,195,176,158,149,124,160,170,125,102,109,231,213,208,230,230,182,125,121,154,119,119,115,119,109,138,217,210,206,200,179,168,158,119,153,164,125,92,136,234,210,205,221,237,200,135,111,134
15,70,79,90,95,97,100,106,112,117,121,124,128,131,134,137,141,143,147,149,151,154,155,157,158,159,160,161,162,71,80,90,96,97,99,106,114,119,122,126,129,132,135,139,143,144,148,150,152,154,156,158,158,159,161,162,162,74,81,89,96,98,100,107,114,119,124,128,130,133,136,140,143,145,148,151,154,156,158,158,159,161,163,163,164,74,82,92,96,100,103,109,114,120,126,130,132,134,137,141,143,147,150,152,155,157,159,160,163,163,164,164,165,74,84,92,98,98,102,108,113,119,124,128,132,136,140,144,146,149,151,154,156,157,159,162,162,164,165,166,167,74,82,101,128,106,104,112,110,117,125,126,125,123,128,132,142,149,152,156,158,161,162,161,162,165,166,167,168,77,84,104,128,101,95,103,109,123,129,134,137,141,134,125,125,126,134,145,143,145,156,168,165,163,167,167,169,79,87,98,93,71,75,86,92,112,125,130,148,155,141,139,137,143,142,137,145,126,113,126,162,169,165,170,169,78,89,96,99,101,104,100,98,102,110,113,132,154,158,154,152,153,161,153,142,154,134,91,83,153,174,168,169,80,89,96,99,103,110,118,124,127,129,127,123,117,130,152,173,154,129,158,129,138,159,92,82,74,155,175,170,80,89,97,100,102,107,114,121,126,128,137,139,100,84,90,112,143,118,120,115,137,170,80,92,107,80,164,172,80,89,96,99,102,108,115,120,125,124,162,136,94,82,85,100,131,122,85,85,120,141,88,86,133,88,89,180,81,90,96,99,102,109,115,120,126,124,175,139,77,86,105,126,140,122,93,91,90,87,90,102,115,93,47,126,80,91,97,98,102,110,116,122,125,133,168,177,115,103,117,127,131,110,95,96,95,92,91,107,118,92,51,51,81,91,97,99,103,110,116,122,121,157,175,172,174,141,91,76,87,83,77,82,90,99,107,116,121,103,61,46,82,92,98,100,103,111,116,124,125,154,181,167,163,168,139,74,27,39,33,39,59,87,114,113,107,94,62,56,82,92,98,101,103,110,116,124,127,137,172,179,150,147,171,139,32,18,17,22,24,49,99,106,97,85,70,66,81,91,97,99,103,110,116,123,125,132,163,167,162,135,161,109,40,22,19,29,21,45,104,116,113,105,95,80,80,88,94,97,101,107,113,120,121,146,178,161,144,134,132,76,39,24,22,31,28,41,92,114,118,114,106,91,57,60,65,67,69,71,72,77,80,90,154,182,158,119,116,110,44,24,29,30,41,48,64,94,106,109,104,92,57,59,60,59,61,63,63,60,60,59,85,122,131,129,116,108,67,33,31,31,40,53,55,74,91,97,97,88,63,63,64,65,66,68,69,69,68,73,72,70,75,81,75,72,72,41,33,27,34,52,59,65,91,97,92,81,63,63,63,65,65,68,68,68,68,71,73,73,73,72,82,82,91,69,58,54,56,64,64,61,86,94,86,77,64,64,66,66,65,67,67,67,68,70,70,70,72,71,72,95,112,110,118,106,89,108,108,95,94,97,83,72,63,64,65,67,66,66,68,69,68,71,72,71,71,73,73,68,75,111,131,115,133,146,145,141,123,113,97,71,62,63,63,65,66,67,69,69,70,70,73,74,72,72,74,76,71,77,87,106,143,159,150,144,127,106,90,78,62,63,63,65,65,67,68,68,69,70,72,73,72,72,72,75,74,73,72,78,93,107,129,113,99,88,85,98,62,62,63,65,66,67,68,68,69,70,70,70,71,71,72,73,74,75,76,74,70,71,100,87,95,110,107,92
4,222,223,225,226,228,229,228,228,228,228,230,229,229,232,234,230,229,232,233,230,229,230,229,228,227,228,227,226,225,227,227,228,230,231,230,230,231,231,233,232,231,222,216,228,236,215,209,235,235,229,232,232,230,228,229,229,228,229,228,230,233,234,233,232,234,233,228,231,243,227,191,176,201,208,178,174,225,238,234,235,233,231,232,231,229,230,230,232,234,234,235,236,234,229,214,195,190,239,244,190,124,149,206,149,112,230,238,234,236,235,236,234,232,231,233,235,235,237,237,238,244,252,249,205,142,137,244,190,136,70,141,162,80,192,250,236,237,237,237,237,235,236,237,237,237,232,234,197,177,222,223,232,162,85,189,204,131,73,91,156,90,175,254,238,238,239,239,237,238,239,239,238,238,244,246,193,112,107,160,239,198,96,108,218,183,95,66,187,116,169,255,241,242,241,240,239,239,238,238,239,244,220,210,208,138,77,78,225,242,133,73,222,219,127,66,178,148,182,255,242,243,242,242,242,239,240,241,240,240,228,158,188,194,126,44,173,244,142,78,177,219,142,69,121,127,196,255,244,246,245,246,244,240,242,243,243,244,234,149,139,200,147,83,114,144,121,96,107,151,117,75,97,92,113,254,245,248,247,245,245,243,243,244,243,247,241,217,187,160,122,87,107,108,114,125,126,117,101,92,137,142,100,191,255,244,247,247,246,244,244,245,246,249,251,224,192,154,122,107,119,118,120,146,137,139,101,140,195,185,161,127,244,253,249,250,248,245,245,247,248,251,253,214,179,154,130,132,132,139,162,162,183,203,209,160,193,201,176,103,171,255,248,250,249,245,248,248,248,251,248,206,162,144,123,133,152,166,195,215,226,246,245,230,206,181,137,97,102,251,253,251,251,247,249,251,249,251,255,224,184,153,137,150,161,170,240,228,230,242,235,224,203,168,125,96,87,233,255,250,252,248,251,252,252,250,255,242,198,161,142,146,160,193,247,227,237,236,235,218,195,169,127,91,111,255,254,253,253,249,251,253,254,251,253,250,214,181,148,147,170,195,248,238,249,250,236,217,197,163,123,79,174,255,253,255,255,251,252,253,253,254,252,255,234,194,156,160,186,185,243,249,255,255,245,227,189,146,117,84,237,255,255,255,255,251,253,254,255,255,252,255,248,205,169,174,201,190,238,253,255,255,255,227,176,137,96,124,255,255,255,255,255,252,254,255,255,255,252,247,255,221,173,182,200,203,240,252,255,255,255,210,164,137,78,189,255,255,255,255,255,253,255,255,255,255,249,237,245,231,184,184,196,204,247,252,255,255,227,183,153,123,88,245,255,255,255,255,255,254,255,255,255,255,250,229,245,240,207,186,190,203,239,252,246,235,200,167,142,94,135,255,255,255,255,255,255,253,255,255,255,255,255,231,237,241,223,201,196,205,225,243,231,204,181,148,118,88,228,255,255,255,255,255,255,251,253,254,255,255,255,247,220,230,225,210,203,201,201,210,203,177,150,119,81,167,255,255,255,255,255,255,255,253,254,255,255,255,255,255,222,228,221,209,205,191,182,190,189,162,125,92,93,255,255,255,255,255,255,255,255,254,255,255,255,255,255,255,225,227,211,201,198,183,166,172,174,140,105,78,145,255,255,255,255,255,255,255,255,254,255,255,255,255,255,255,230,221,186,176,188,175,171,170,156,121,104,72,193,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,232,232,197,194,207,196,186,170,150,127,108,76,222,255,255,255,255,255,255,255,255
17,148,149,151,152,154,156,158,159,159,160,162,164,164,164,165,166,168,169,170,170,170,171,172,171,171,172,171,172,147,149,151,152,154,157,159,159,160,162,163,164,165,165,166,168,170,171,171,171,172,172,172,172,173,172,172,173,147,150,151,154,157,158,159,160,161,163,163,166,167,167,167,169,170,171,166,159,164,147,167,173,174,173,174,174,149,150,152,155,158,159,160,162,162,164,165,166,166,168,168,171,171,173,167,130,119,112,139,175,175,174,175,174,150,151,154,156,158,160,162,163,164,165,167,168,169,169,171,172,172,174,184,145,99,93,140,176,176,176,176,175,150,152,155,157,159,161,163,164,165,167,167,168,169,170,172,173,173,173,189,154,110,80,152,176,176,177,176,176,151,153,156,157,159,162,164,164,165,166,167,170,170,171,172,174,175,174,191,166,128,87,168,177,177,177,176,176,151,154,156,158,159,161,164,165,167,168,168,170,171,158,160,174,176,175,194,168,136,107,177,179,179,178,178,177,152,156,157,158,160,163,164,166,167,169,168,169,174,160,126,152,176,179,195,165,136,117,179,180,179,179,179,178,152,155,157,159,161,163,164,166,167,167,165,167,179,163,146,130,154,172,188,165,132,114,179,180,180,180,179,179,153,156,158,159,161,164,166,166,172,173,149,132,167,181,178,169,138,110,154,157,136,115,179,181,181,181,180,179,154,156,158,161,164,165,167,166,185,182,144,120,159,164,184,185,157,112,110,135,127,111,179,181,181,181,180,180,153,157,159,162,163,165,168,170,178,159,161,141,142,126,147,192,178,134,93,112,113,106,178,181,182,181,180,180,155,158,159,162,163,165,168,174,181,145,137,125,96,89,93,194,191,153,100,95,98,99,177,182,183,182,181,181,156,158,160,163,164,166,168,180,169,135,120,126,102,100,102,185,199,167,117,91,94,95,174,183,182,183,183,182,156,158,161,164,165,167,167,185,176,159,141,134,117,127,128,173,202,172,131,92,93,94,168,183,183,184,183,183,157,159,162,164,165,167,169,191,170,148,140,132,128,146,153,187,191,172,139,98,88,91,169,183,184,184,184,184,156,159,162,164,166,169,174,188,157,139,133,132,142,149,195,203,175,160,139,96,82,85,171,185,185,184,184,184,157,159,161,164,168,169,181,189,162,145,134,136,146,174,211,201,174,152,131,96,80,87,175,184,186,185,184,184,157,159,162,165,168,169,187,191,167,151,135,140,152,202,201,193,169,145,125,93,82,97,183,185,186,185,184,184,158,160,163,166,168,167,193,190,171,159,143,144,170,212,198,188,163,134,119,90,82,126,185,185,185,185,185,185,158,160,164,167,168,167,200,191,175,166,156,147,182,208,191,185,163,127,111,88,84,164,185,185,186,185,184,184,158,161,164,167,170,168,202,197,180,176,167,153,182,200,185,178,161,126,104,86,105,184,185,186,186,185,185,185,158,162,165,167,168,169,197,202,184,181,170,162,169,196,180,176,153,123,98,83,147,186,186,186,185,185,186,185,158,162,166,168,169,169,188,204,187,177,167,167,166,188,173,178,158,118,96,84,168,186,186,186,186,186,186,186,159,163,165,167,170,172,182,203,185,174,163,165,169,179,167,181,160,117,96,91,180,187,187,187,187,187,186,186,159,162,164,167,169,171,183,199,183,173,162,162,168,177,163,179,151,114,98,117,187,188,187,188,188,187,186,186,158,161,164,167,170,171,187,200,190,175,167,168,172,176,160,173,139,108,93,154,187,187,188,188,187,187,186,186
8,149,150,151,152,152,153,154,154,155,155,154,154,154,154,155,155,154,154,152,151,149,147,147,146,144,144,142,140,151,152,152,153,154,155,156,157,157,157,155,157,156,156,157,156,155,154,153,152,151,149,149,148,146,145,144,142,153,154,154,156,158,158,158,158,158,162,169,138,158,158,158,159,157,157,155,154,154,152,151,150,149,147,145,144,155,155,156,156,159,159,159,161,156,173,176,115,158,161,160,160,159,158,156,156,156,154,153,151,150,150,148,147,155,156,158,158,160,161,161,163,156,181,172,114,163,160,163,163,159,160,158,157,158,154,155,154,152,151,150,149,157,159,160,161,162,162,162,164,158,187,178,121,167,176,153,157,170,154,154,160,156,163,153,147,156,152,152,151,160,161,162,163,163,164,163,165,160,192,175,119,185,200,151,132,189,151,125,161,149,175,151,125,161,154,154,152,161,163,163,164,164,164,164,166,160,194,177,120,199,205,165,125,181,160,113,157,151,166,158,114,160,157,154,153,162,163,164,165,165,166,166,169,163,192,192,152,201,209,173,123,173,166,104,159,153,139,168,122,136,160,156,154,163,164,165,166,168,169,168,169,166,196,189,191,194,200,175,117,160,161,102,165,145,104,154,151,112,140,161,155,164,165,166,168,168,169,169,167,173,199,187,190,192,187,167,111,160,152,105,163,127,98,142,168,110,136,163,156,165,166,167,169,170,170,172,166,185,200,168,171,169,176,180,115,156,147,94,136,119,101,163,175,114,151,162,159,165,168,169,170,170,172,171,167,192,205,153,147,144,150,183,112,159,151,83,138,107,120,185,161,114,162,162,159,167,169,170,171,172,171,174,169,196,205,167,132,138,141,147,140,162,140,105,145,114,164,183,134,119,169,163,164,169,170,171,172,173,173,175,172,198,206,174,141,123,138,153,174,153,150,169,173,169,166,157,117,130,165,157,138,168,170,171,172,173,174,176,172,198,208,182,153,126,134,162,172,179,195,200,188,165,141,127,106,100,100,92,80,169,170,172,172,172,174,175,171,197,209,188,167,137,130,164,189,204,202,191,179,155,126,107,92,91,88,82,79,169,170,171,173,175,175,176,172,195,209,198,179,158,143,167,196,204,195,183,164,139,113,96,89,87,81,80,80,171,172,172,175,176,175,177,174,190,209,203,187,171,150,169,198,198,186,169,145,117,96,85,80,64,56,45,35,171,173,174,174,176,176,178,176,182,209,206,190,170,154,164,192,188,171,153,124,98,82,74,68,57,46,44,32,171,173,174,174,175,177,179,180,183,209,201,183,165,152,162,177,169,151,135,104,84,81,75,63,48,38,40,36,175,177,178,178,180,179,187,154,149,209,172,167,153,145,160,163,148,129,107,82,74,76,78,74,54,35,32,34,151,154,155,157,160,160,175,96,78,199,167,165,152,151,155,149,128,105,80,55,60,69,66,75,71,44,28,29,94,93,91,92,93,94,104,95,45,128,174,165,158,150,141,134,110,86,43,30,41,59,55,64,77,57,33,25,93,92,95,95,94,92,96,106,90,90,132,149,149,135,123,111,87,59,9,13,40,51,49,52,71,67,42,25,97,96,99,99,100,99,104,103,87,92,90,98,115,114,99,96,68,27,3,35,63,67,40,45,62,71,54,31,100,97,99,99,100,99,106,105,86,85,84,77,74,77,77,77,54,13,22,57,73,66,32,39,53,69,62,41,100,97,99,102,102,101,108,101,89,87,84,80,71,64,60,56,52,43,44,45,45,37,23,31,46,60,65,49
3,151,153,156,159,161,163,165,166,166,166,166,166,165,165,164,164,163,160,158,158,157,157,155,153,152,150,148,146,153,156,158,161,163,165,167,168,169,169,169,168,167,167,166,166,169,160,145,156,159,158,157,155,153,151,150,148,155,158,161,163,166,168,169,170,171,171,171,170,170,169,168,169,178,157,120,147,161,160,159,158,156,154,152,150,157,160,163,165,168,170,171,172,173,173,172,172,172,171,171,171,179,155,110,137,163,163,161,160,158,156,154,152,159,162,165,168,170,172,174,175,175,174,174,174,174,174,173,172,179,160,113,133,164,165,164,162,160,158,156,154,161,164,166,169,172,174,176,178,178,177,176,176,177,176,174,174,184,175,125,129,164,167,166,164,162,159,157,156,162,165,168,171,174,176,178,180,180,180,179,179,179,178,177,176,188,182,127,121,162,169,167,166,164,161,159,157,164,167,170,174,177,179,180,181,182,182,182,181,181,180,179,179,191,181,124,116,161,170,169,168,165,163,160,159,166,169,173,176,179,181,183,183,184,184,184,183,183,182,181,180,191,180,126,116,162,172,171,169,167,164,162,160,168,172,175,179,181,183,185,186,186,186,186,185,184,183,183,180,170,153,115,113,163,174,173,171,169,166,164,162,171,174,178,181,183,186,187,188,189,189,188,188,187,184,183,179,144,109,88,109,167,176,175,173,170,168,165,163,173,177,180,183,186,188,190,191,191,191,190,188,190,179,151,150,158,120,85,114,167,176,176,174,172,170,167,165,175,179,182,185,188,190,192,193,194,194,191,172,171,170,129,118,164,136,101,106,135,152,170,175,173,171,168,166,177,181,184,187,190,192,194,196,197,202,196,159,133,153,139,113,145,138,116,106,117,117,149,176,175,172,170,168,179,183,186,189,191,194,195,197,202,210,201,173,134,136,142,108,121,138,127,115,115,99,135,176,177,174,171,169,181,185,188,191,193,196,198,199,209,206,195,180,137,118,129,103,112,124,108,113,109,90,128,177,179,176,173,171,183,186,190,193,195,197,199,202,215,204,179,169,132,101,114,97,116,144,106,118,124,93,120,176,181,178,175,173,184,187,191,195,197,199,201,203,208,195,170,157,117,91,107,89,115,160,114,114,128,93,107,172,182,180,177,174,185,189,192,195,198,201,202,204,209,208,187,157,115,98,110,97,110,146,120,115,114,86,106,172,183,181,179,177,186,190,193,196,199,201,203,205,214,217,200,162,119,104,118,125,149,168,144,123,98,82,132,181,185,183,181,179,185,190,194,197,200,202,204,206,214,220,206,169,132,112,125,163,181,166,134,111,91,95,163,187,186,184,182,180,184,189,194,198,201,202,204,206,211,218,204,173,152,126,142,185,178,147,120,102,90,123,181,188,186,184,181,180,185,190,195,198,202,204,206,205,199,205,200,179,162,137,138,165,158,131,110,93,99,157,189,189,187,184,182,180,186,191,196,199,203,205,207,197,145,161,189,180,162,136,119,128,126,111,95,97,140,185,193,191,188,185,181,175,187,192,196,200,202,205,206,174,94,98,149,164,152,119,97,95,96,90,88,135,183,195,193,189,184,171,146,120,182,186,190,193,196,198,194,138,75,67,86,110,113,92,81,77,76,65,73,152,185,179,160,137,121,98,71,54,146,148,151,152,153,153,142,97,69,61,58,62,68,71,68,59,52,36,29,83,113,97,70,50,42,36,33,34,117,118,120,120,119,117,100,76,69,59,54,51,49,44,38,33,28,19,14,33,45,37,30,27,29,28,25,27
23,194,197,202,204,205,207,209,210,210,212,213,212,212,211,211,212,213,213,213,214,212,213,213,212,213,211,212,210,196,199,204,206,207,209,210,212,213,212,212,211,213,214,214,216,217,216,218,214,213,214,215,214,214,213,213,213,200,203,205,210,210,212,213,213,217,215,214,215,217,213,213,210,197,203,217,222,217,218,219,218,218,217,216,214,202,204,209,211,212,215,216,217,217,219,222,220,214,230,247,221,194,174,191,174,205,225,222,222,220,221,219,216,204,207,211,213,215,217,220,220,219,222,223,220,236,249,232,201,167,165,142,110,208,228,223,224,223,222,222,221,206,210,213,215,218,221,221,221,221,222,224,241,241,190,180,135,151,158,156,200,227,223,226,225,225,226,225,225,208,211,214,217,219,221,222,223,225,222,224,234,205,137,130,185,236,233,237,233,226,228,228,227,227,229,228,227,212,214,218,221,221,223,224,224,227,225,227,222,187,148,139,252,226,226,217,218,233,228,231,232,231,230,230,229,214,216,220,222,223,225,227,226,228,229,231,224,186,183,131,225,226,241,223,134,200,237,232,232,234,233,231,231,214,219,222,224,225,228,229,230,231,230,229,231,209,184,162,242,255,248,219,116,154,250,232,235,234,233,232,231,217,222,224,224,228,229,229,231,231,232,229,238,220,230,255,254,232,227,210,95,116,185,191,241,233,234,232,232,217,221,224,225,229,229,230,232,233,233,231,230,236,251,242,230,235,221,172,103,45,129,138,242,238,235,235,234,220,221,225,229,230,230,232,233,235,234,228,229,240,248,251,230,228,214,116,81,36,96,87,133,249,239,237,238,221,223,226,230,230,231,233,235,234,238,236,235,236,241,233,221,229,201,103,72,42,69,86,56,140,251,236,238,223,224,227,230,231,233,235,237,235,246,251,227,230,231,231,232,216,154,94,79,45,54,83,86,76,236,242,239,223,225,229,231,233,234,236,238,237,238,244,231,235,237,223,193,139,84,100,86,48,49,81,72,140,251,239,240,224,226,229,230,234,236,236,238,239,229,238,233,229,207,171,121,54,65,104,81,41,65,91,80,222,252,241,241,223,228,231,233,236,237,237,238,241,231,235,228,221,207,147,91,47,91,87,44,38,73,80,154,255,242,244,243,223,227,230,233,235,237,238,239,241,233,231,225,232,211,117,63,49,63,39,38,55,70,87,228,251,245,246,245,223,227,229,232,232,234,237,238,239,232,226,225,236,186,114,83,42,37,43,59,81,66,141,255,244,247,248,248,225,228,230,232,234,236,236,237,238,231,226,233,239,192,128,97,46,43,79,93,101,76,197,255,247,247,247,247,224,228,230,233,236,237,237,236,240,229,223,244,233,193,141,105,68,51,91,103,106,82,218,255,246,246,246,246,223,227,231,233,237,237,238,237,240,228,216,244,231,192,147,108,82,54,91,106,101,98,242,250,247,247,246,246,222,227,231,232,236,237,238,238,240,226,216,235,226,188,143,105,87,60,87,111,85,138,255,246,249,248,248,247,225,228,230,232,235,237,238,238,243,215,212,232,220,180,140,103,86,69,79,101,77,214,255,245,247,247,249,249,226,230,235,236,240,244,245,246,250,211,227,233,206,173,136,103,85,78,74,79,175,255,251,253,251,252,250,245,136,142,149,153,156,159,164,172,167,191,251,236,201,162,128,103,86,83,68,155,237,229,232,240,241,234,231,229,100,101,103,102,103,104,107,107,91,208,255,235,198,150,126,105,84,82,92,118,132,153,164,197,215,201,211,210
6,209,209,209,209,210,209,209,209,208,208,209,208,207,207,204,204,204,202,202,201,200,198,197,196,195,194,192,190,212,212,212,213,213,212,212,211,211,211,211,209,209,207,206,206,205,204,203,202,202,200,199,198,197,196,195,192,214,214,214,214,214,215,215,214,213,213,214,213,212,210,209,208,208,206,206,205,204,202,201,200,200,198,196,195,215,216,215,215,216,215,215,216,215,215,216,214,213,214,212,211,209,209,207,206,205,205,203,202,202,200,197,196,218,218,218,217,218,219,218,217,217,217,217,218,216,215,214,213,212,210,209,208,207,206,206,204,203,203,200,199,219,219,220,219,219,220,219,219,219,219,219,218,218,217,215,215,214,213,212,210,209,208,208,207,205,203,202,201,220,220,221,221,220,221,221,221,221,221,220,219,219,218,218,216,215,214,214,213,211,209,208,208,207,205,203,201,221,221,222,222,223,223,223,223,223,223,222,222,221,219,218,218,217,217,218,217,216,213,213,212,209,205,206,204,223,222,223,224,224,224,224,224,224,224,224,225,224,225,224,222,220,215,209,204,199,200,197,187,188,197,193,205,224,223,224,223,224,225,225,225,227,227,223,216,211,209,202,194,187,185,168,164,171,177,171,163,192,221,185,191,225,225,225,225,225,225,226,228,217,196,180,178,175,179,180,177,174,172,165,162,175,161,162,158,159,171,163,197,226,227,226,227,225,228,224,210,196,185,168,170,175,178,183,178,171,149,145,136,133,136,149,151,157,176,198,210,228,228,228,228,230,217,199,195,194,181,154,138,147,147,140,139,140,136,144,167,191,204,211,215,220,219,215,211,227,228,229,231,212,191,193,193,188,178,162,132,112,94,171,216,221,221,223,228,227,223,221,218,215,214,213,213,228,230,231,211,189,192,196,194,196,196,185,146,109,103,127,157,185,222,226,222,222,220,219,219,218,217,215,214,232,228,209,196,197,200,202,201,200,199,164,119,105,108,104,99,94,128,227,225,224,223,222,220,219,218,216,215,219,198,194,203,203,202,204,193,191,186,135,106,100,103,110,113,113,95,185,234,223,224,223,221,220,219,217,214,195,195,204,206,203,202,195,184,190,187,165,143,106,91,100,104,108,86,143,235,224,224,224,222,220,219,218,216,198,200,203,206,206,200,187,188,192,192,196,167,118,100,101,95,102,149,213,228,224,224,224,223,221,220,218,217,200,201,206,208,201,190,184,186,184,185,181,142,106,102,104,102,107,232,233,226,226,225,224,223,222,220,219,217,201,203,204,198,190,186,185,183,177,171,164,133,98,92,101,96,115,226,228,227,227,225,224,223,221,220,219,218,201,199,189,185,189,187,182,176,165,163,171,161,115,94,96,106,211,232,226,225,225,224,223,222,219,217,217,216,191,183,179,185,181,171,163,159,163,172,184,173,121,105,104,107,228,230,227,225,224,223,223,221,223,226,223,215,185,183,183,176,166,158,161,164,168,169,171,142,107,97,88,139,232,227,227,226,228,227,227,230,211,186,159,131,181,179,172,164,163,162,160,151,143,138,126,98,111,139,167,228,231,235,236,230,215,215,214,192,130,106,94,98,168,159,141,142,155,157,149,131,116,108,113,160,226,240,242,236,234,191,170,142,114,120,113,104,96,107,97,89,133,117,101,111,127,128,121,112,115,147,186,212,214,212,214,216,174,116,113,97,83,97,87,92,90,89,97,80,115,96,106,131,136,133,131,132,139,144,143,139,137,138,138,126,109,107,101,104,80,89,88,84,86,84,87,81
14,140,139,139,139,139,140,141,140,140,141,141,140,141,140,141,141,141,141,140,140,141,140,139,140,139,139,141,111,142,141,142,141,142,142,143,143,144,143,144,143,142,143,143,143,144,144,142,142,142,142,141,141,141,139,143,97,144,143,144,142,144,144,145,145,144,145,143,144,145,145,143,147,147,144,145,145,145,143,143,143,142,143,144,122,146,145,145,146,147,146,146,146,149,152,144,136,147,146,135,132,143,148,149,147,147,146,146,146,144,144,144,137,148,149,149,150,149,148,147,156,167,140,135,134,137,127,103,116,130,134,138,151,148,150,150,149,147,146,147,143,151,151,150,152,151,156,166,163,148,93,74,93,103,101,69,65,116,102,84,153,151,152,151,150,148,149,149,147,153,152,152,154,148,168,175,114,86,66,36,48,63,69,52,48,74,77,52,135,161,154,149,152,151,150,150,150,154,153,153,156,149,175,170,104,50,42,37,33,38,44,47,42,50,58,69,81,135,133,110,121,154,150,152,151,156,155,156,158,150,180,165,117,66,45,43,39,38,37,44,42,43,72,109,81,63,128,106,108,159,153,154,153,159,157,158,158,152,182,154,98,50,37,42,50,47,37,45,48,44,56,72,50,105,146,83,128,163,155,156,155,158,158,159,157,161,182,151,115,78,47,37,47,40,50,43,63,107,136,117,91,146,135,74,138,163,157,157,157,160,160,161,158,168,185,157,127,97,69,56,40,42,69,51,104,175,163,170,151,149,134,73,133,165,158,159,158,163,163,164,158,174,190,164,130,87,66,59,54,54,57,53,137,168,161,162,139,146,126,74,123,168,159,159,159,163,163,165,159,176,194,170,132,82,60,55,52,67,54,72,169,163,165,156,144,147,122,73,104,172,160,160,160,163,164,165,162,177,194,171,142,101,66,48,49,64,53,99,177,161,166,148,157,151,116,63,127,171,161,163,162,164,165,167,161,176,197,173,145,112,75,49,48,59,43,114,168,168,158,139,160,152,96,82,170,165,165,165,163,166,167,170,160,170,195,175,151,120,79,55,51,48,47,82,100,135,133,140,151,136,76,134,174,164,167,164,164,168,168,169,160,170,195,177,152,127,92,63,38,50,61,75,98,113,121,135,139,107,85,168,168,168,169,168,166,168,168,170,162,171,194,181,155,130,102,75,40,55,66,91,115,124,121,117,116,79,123,177,169,171,170,169,167,169,169,171,161,169,193,181,159,135,107,82,51,54,77,107,125,129,111,100,86,69,162,173,171,170,171,170,169,171,169,172,161,164,192,180,162,138,111,84,63,53,77,109,126,126,109,85,68,92,179,169,170,170,171,172,171,171,170,173,164,162,189,179,165,141,116,87,72,55,69,107,125,120,97,76,70,152,176,172,172,171,171,171,171,173,173,172,163,165,186,179,166,144,122,94,80,65,66,113,123,112,89,62,112,185,172,173,173,172,172,172,171,174,173,175,161,169,190,178,164,149,128,94,83,78,62,110,110,98,82,57,151,182,174,175,174,173,173,174,173,174,174,179,162,174,193,177,165,155,131,97,85,81,64,93,98,92,71,78,179,177,176,175,175,174,173,174,173,175,175,177,163,185,190,179,175,155,132,98,84,77,67,81,87,85,57,130,186,177,177,176,175,175,174,174,173,175,175,172,161,191,191,181,170,148,120,92,80,74,69,75,77,68,89,180,180,178,178,177,176,175,175,175,174,176,177,166,163,187,188,179,158,131,105,85,74,69,73,75,75,69,157,185,178,179,179,178,176,176,176,176,175
20,141,144,148,151,152,155,159,160,162,162,163,165,163,165,165,163,164,163,163,162,160,158,158,158,156,154,153,152,142,146,150,153,155,158,161,162,164,165,166,165,170,152,158,170,165,165,165,164,164,162,160,159,158,158,157,155,145,149,152,155,159,162,164,165,166,169,170,164,195,133,113,173,168,167,168,167,166,164,164,162,161,161,159,158,147,151,155,159,161,165,166,167,169,172,172,168,202,140,118,135,146,174,168,169,168,166,166,163,164,163,161,161,149,153,159,161,164,167,169,171,173,173,174,171,200,136,147,150,113,180,170,172,171,170,168,167,166,166,165,163,152,156,161,164,165,168,172,175,175,176,176,174,207,151,150,169,100,174,174,173,173,172,171,170,170,169,168,165,155,160,163,166,168,170,174,177,178,179,179,177,212,163,145,188,102,167,180,176,175,174,173,173,172,172,171,168,158,162,165,168,170,173,176,179,179,179,183,182,209,153,142,195,110,155,186,178,178,176,175,174,173,172,172,171,160,164,166,170,173,177,179,179,185,189,167,184,226,159,148,198,117,144,189,180,180,179,177,177,176,175,174,172,161,165,169,173,175,179,180,179,193,217,172,156,183,153,139,213,132,138,191,180,181,181,181,180,178,177,175,174,163,167,171,174,177,177,185,219,166,156,198,153,113,107,110,194,135,131,193,182,184,183,181,181,181,179,178,177,165,169,172,175,180,178,199,197,185,147,193,188,185,158,109,142,131,124,195,186,186,186,183,182,181,180,180,178,166,171,173,178,182,181,198,184,157,143,156,184,198,197,129,87,106,116,195,186,187,186,184,183,182,181,181,180,168,173,176,179,183,185,193,207,174,126,91,90,119,194,159,94,69,109,196,188,189,188,187,185,185,184,182,182,169,173,179,182,184,188,190,222,185,133,99,88,80,179,195,128,68,96,196,191,191,189,189,188,187,186,182,182,171,176,181,183,187,189,192,215,183,140,107,117,131,189,216,163,98,83,192,195,193,191,191,189,188,187,185,183,173,178,182,185,188,191,194,224,192,142,127,119,162,222,210,168,125,81,188,198,193,192,192,190,189,188,186,185,174,179,183,188,191,194,197,228,197,151,135,136,191,228,191,146,111,81,191,197,195,194,193,192,191,189,189,187,175,181,184,187,192,195,197,227,204,167,152,144,210,219,172,126,87,99,203,196,196,195,195,195,194,191,190,187,177,183,187,190,193,195,197,222,206,168,160,150,217,209,160,118,79,107,209,197,200,197,195,196,195,194,190,188,179,184,188,192,194,198,198,213,206,171,172,154,209,195,146,110,73,113,210,199,201,200,197,196,195,194,192,190,179,185,190,193,196,198,200,207,211,186,184,155,202,180,130,99,66,131,214,200,201,201,200,197,196,196,194,191,180,186,191,194,197,199,202,206,212,191,186,148,187,159,114,94,65,157,213,202,202,201,200,199,198,197,195,193,180,186,191,194,197,200,204,206,218,187,160,130,172,138,118,96,76,194,209,205,205,202,201,200,201,198,196,194,182,187,192,195,199,202,204,207,223,196,157,148,170,128,134,79,127,217,206,208,207,204,203,202,201,200,197,194,183,188,192,196,200,203,202,211,229,210,182,175,154,123,122,68,180,215,206,208,208,206,204,204,202,201,199,196,181,186,190,195,199,203,198,211,214,191,189,174,143,118,97,90,205,209,207,207,206,204,203,203,202,201,199,196,181,186,191,196,199,204,195,217,206,172,171,160,126,106,75,120,215,208,208,208,206,205,203,202,201,200,199,196
13,175,177,178,179,180,181,182,182,181,181,181,181,182,181,180,179,178,178,176,176,175,173,173,172,171,171,170,168,178,179,179,181,182,183,184,185,184,183,182,182,183,182,182,180,179,178,178,178,176,175,174,173,172,171,171,170,179,181,182,182,184,185,185,187,186,185,184,183,184,183,183,182,181,181,180,180,178,177,176,175,174,173,172,172,181,183,184,185,186,187,186,186,186,186,186,185,185,185,185,184,183,184,184,181,180,179,178,178,177,176,174,173,182,184,185,186,187,188,188,187,187,187,188,187,187,187,186,184,167,157,179,182,180,185,181,179,178,179,177,175,184,186,188,188,189,189,190,190,190,191,191,190,185,185,189,182,139,90,103,173,147,138,176,182,179,180,179,177,186,187,189,189,191,192,191,195,181,159,188,194,158,135,180,169,133,89,63,129,126,80,108,184,181,180,180,178,186,188,191,193,192,192,198,206,179,120,131,185,153,111,162,175,131,100,61,116,120,92,68,157,186,181,180,179,189,190,193,194,194,192,223,213,180,130,128,179,145,115,180,203,143,101,74,145,132,101,56,147,189,183,182,181,190,192,194,194,195,196,230,217,184,132,138,184,141,110,206,209,135,93,111,175,130,86,59,159,189,185,183,182,192,194,196,195,195,217,228,202,184,124,132,180,145,96,148,173,110,82,92,121,89,61,67,178,188,186,185,185,193,195,197,195,206,227,203,171,141,96,128,173,138,92,46,77,105,98,90,90,92,67,96,193,188,188,187,186,195,196,197,196,222,226,186,140,104,73,121,138,115,72,27,41,86,85,109,129,129,100,112,197,190,190,189,187,196,197,198,199,238,234,210,166,126,69,101,113,93,90,118,155,164,154,156,141,149,128,92,183,193,192,190,189,196,198,199,209,243,231,214,197,166,110,107,146,168,196,202,195,186,176,166,130,119,110,82,152,199,194,193,191,199,200,199,215,242,230,218,203,173,157,162,196,209,205,198,189,181,167,152,131,109,106,88,125,201,195,194,192,201,201,199,219,240,230,218,203,181,179,190,204,213,201,194,188,178,161,142,131,113,103,85,106,202,196,194,193,201,200,200,220,237,228,218,201,184,180,192,201,213,203,194,187,168,148,135,122,103,93,68,133,202,196,194,194,201,202,202,215,234,225,213,192,174,172,185,194,199,195,189,175,153,138,124,106,88,63,104,197,198,197,196,195,201,205,209,212,223,215,194,173,164,178,186,188,182,184,178,161,146,126,105,86,61,73,187,202,199,198,197,196,208,181,138,195,211,201,188,179,173,184,190,181,170,162,155,137,118,96,79,56,79,177,205,201,200,199,198,196,206,123,60,105,209,213,209,203,183,173,185,171,147,131,133,113,91,68,75,130,193,206,203,202,200,200,199,197,153,85,84,71,120,200,211,203,180,160,169,153,124,113,109,82,59,104,189,210,206,203,204,202,202,201,200,199,99,79,80,78,69,100,152,153,149,145,158,133,108,97,79,61,140,207,210,206,207,206,204,204,203,202,201,200,88,78,74,75,79,37,47,62,63,65,80,81,77,68,51,144,217,211,208,208,207,207,205,205,204,203,201,200,80,74,72,70,78,57,20,48,49,42,38,36,35,38,37,162,213,212,209,209,208,206,205,206,206,203,202,201,77,73,69,66,74,65,12,35,44,37,36,34,32,25,11,56,210,211,209,209,208,206,205,206,205,203,202,200,76,71,69,59,69,61,10,26,38,35,35,31,31,22,8,142,215,209,209,208,207,206,205,205,204,202,200,200
19,138,140,143,145,146,149,150,151,151,152,152,152,153,154,155,155,155,156,156,155,156,154,156,156,155,154,155,153,141,143,146,149,150,152,153,154,154,155,154,155,156,157,158,159,158,158,158,159,159,158,159,159,158,158,158,156,144,146,150,152,154,155,156,158,158,159,158,159,159,160,164,161,160,161,162,162,161,161,161,161,160,160,160,159,148,150,153,156,157,158,159,160,160,161,161,164,160,124,139,168,162,164,165,165,165,164,164,164,163,163,162,160,150,153,156,158,159,160,161,162,163,164,162,174,166,123,96,168,166,167,167,167,167,166,167,167,167,167,166,165,152,155,158,160,162,164,164,165,165,166,165,178,170,135,81,155,177,174,173,171,170,169,168,170,169,169,168,168,155,159,160,163,165,166,167,168,169,170,169,178,171,132,81,140,156,152,169,170,171,175,176,174,174,172,171,170,159,161,163,165,167,168,169,171,174,176,173,176,163,148,157,163,142,114,138,139,134,143,148,168,167,172,173,172,160,163,166,167,170,171,172,174,172,169,169,167,167,169,162,151,138,110,121,143,140,137,126,146,129,158,179,174,163,166,167,170,172,173,174,170,145,145,152,155,155,150,146,150,144,109,90,112,117,114,109,110,136,174,178,176,165,167,170,172,174,175,179,161,139,137,137,141,145,151,149,149,144,97,149,173,166,160,163,169,182,182,179,178,166,169,172,173,176,177,182,157,155,141,128,130,136,140,135,131,131,101,159,193,186,189,189,187,183,184,181,180,168,171,173,176,179,179,178,180,176,142,119,126,130,139,146,139,132,107,122,194,184,185,185,186,185,184,184,183,170,173,175,177,179,181,176,182,185,160,136,113,114,125,129,120,116,92,126,196,185,187,187,188,187,186,185,184,171,174,177,179,180,182,179,172,181,187,150,121,118,126,127,114,105,84,155,198,189,190,190,189,189,188,186,186,172,175,178,181,183,183,177,181,182,173,138,128,125,123,116,100,92,81,172,196,193,192,190,191,190,189,188,189,175,177,180,183,184,183,180,187,183,164,140,126,128,109,82,62,73,98,193,192,193,194,192,192,192,191,190,190,176,179,182,184,186,184,181,187,179,155,128,131,150,97,59,52,68,139,201,191,193,194,194,193,192,192,190,190,177,180,184,186,188,188,179,184,176,151,126,144,137,83,54,59,112,193,194,193,195,195,195,195,193,193,191,192,179,182,185,188,189,190,178,179,172,144,130,152,125,86,69,57,159,204,193,196,196,196,196,196,195,195,194,193,180,183,186,188,190,191,174,169,164,144,151,158,119,83,76,71,179,201,197,198,197,197,197,197,197,197,196,195,181,184,186,189,190,192,173,165,166,156,160,148,109,81,73,98,203,196,199,199,199,198,198,198,197,197,197,196,182,184,187,189,190,193,167,167,168,158,153,131,98,81,71,145,209,196,199,199,199,199,199,199,198,198,198,197,184,185,188,191,192,193,164,171,162,144,137,112,91,80,91,193,202,199,199,201,202,201,201,201,201,200,200,199,185,187,188,191,194,192,164,171,160,139,121,94,90,78,141,211,200,202,201,202,202,202,201,202,202,202,202,200,186,188,189,191,196,190,167,186,167,139,111,86,84,68,165,209,201,203,202,203,203,203,202,201,202,202,202,201,185,188,191,191,197,183,171,185,156,128,102,86,73,90,200,204,202,203,203,204,204,203,203,203,203,202,203,202,184,186,190,192,198,174,175,173,133,114,99,91,63,130,215,200,203,203,203,204,204,203,203,203,203,204,204,202
21,147,149,152,153,154,154,154,155,156,156,156,161,158,158,158,158,157,156,156,158,157,156,155,154,153,151,151,150,151,153,157,158,158,158,158,159,160,162,158,134,161,161,161,161,161,161,161,162,161,160,158,157,155,154,154,153,156,157,160,161,163,163,162,163,163,165,173,94,137,173,163,166,165,164,164,164,163,163,162,160,160,159,158,157,159,161,162,163,165,166,166,168,168,168,179,99,114,180,168,170,171,171,167,168,166,165,165,163,163,163,161,160,163,165,167,168,169,169,170,172,171,172,182,101,96,181,172,161,127,160,176,171,171,169,168,168,167,166,164,162,167,168,171,172,174,175,175,176,175,174,188,123,89,179,177,160,100,109,186,173,174,172,171,171,171,169,168,166,170,173,175,177,177,177,178,178,180,175,197,163,90,167,186,157,107,92,184,179,177,177,175,174,173,172,170,168,173,175,177,178,180,180,181,182,183,178,199,171,89,148,192,156,110,87,175,186,181,179,178,177,176,175,174,172,176,178,181,181,182,183,184,184,184,180,203,187,107,133,197,166,137,95,170,188,183,183,182,182,180,178,177,176,179,181,182,184,184,185,187,186,185,186,175,169,140,119,199,162,135,96,166,192,185,185,184,183,182,182,179,178,182,185,184,184,187,187,188,188,188,194,170,122,117,111,195,158,148,94,164,198,188,187,186,185,185,184,183,180,183,185,186,188,189,190,190,192,188,209,198,144,72,84,194,167,168,111,167,199,190,189,190,188,187,186,185,184,184,187,189,190,191,192,192,193,193,209,207,147,105,142,144,131,145,120,126,203,192,193,191,191,190,189,187,185,188,190,191,192,192,195,196,194,188,171,190,152,95,124,111,127,119,122,102,174,201,194,194,192,192,191,189,188,190,192,194,196,196,198,197,199,179,108,138,174,79,37,93,112,82,162,125,130,208,195,197,195,194,192,191,190,192,194,196,198,198,199,198,202,192,135,86,178,119,52,67,53,127,199,163,106,187,201,197,197,197,195,194,192,193,196,196,197,198,199,204,191,186,171,85,159,150,55,79,146,130,183,176,106,129,212,196,198,198,196,196,195,195,197,197,199,200,201,203,209,171,163,98,74,84,40,77,184,175,161,134,95,85,198,202,198,197,196,197,196,196,197,198,200,203,203,201,196,151,148,100,60,48,62,126,188,191,158,105,81,85,196,204,200,199,198,197,197,197,199,199,203,205,205,201,195,188,132,125,102,67,114,184,200,182,152,107,73,109,213,202,203,201,199,198,198,198,200,201,204,204,207,201,208,176,153,138,122,80,151,208,196,184,149,103,61,156,218,203,204,203,202,200,199,199,201,203,204,205,207,205,208,191,168,125,174,157,201,213,204,185,129,89,67,194,212,206,205,204,204,202,200,200,203,203,205,206,207,207,203,202,155,152,172,185,217,224,214,166,112,69,97,217,206,208,207,206,204,203,203,201,203,204,205,207,208,209,190,193,173,169,152,178,206,217,197,142,103,61,140,224,209,208,207,207,205,205,203,201,203,204,206,207,207,210,186,186,181,172,153,171,191,188,161,113,85,67,192,217,211,211,209,208,207,208,208,199,202,203,205,205,206,211,200,175,173,167,165,153,159,164,128,89,60,128,223,211,211,210,210,208,206,204,193,200,203,205,205,206,206,209,212,176,171,165,170,145,143,151,112,74,69,200,214,212,211,211,210,209,208,205,122,202,203,205,206,208,208,209,214,184,164,151,152,136,131,137,106,57,103,220,211,213,213,212,208,214,175,137,94
3,190,192,194,195,199,200,201,202,202,202,202,202,203,202,201,198,213,214,146,184,199,195,195,193,191,190,189,187,191,194,196,197,200,201,203,204,205,205,205,203,204,204,204,199,216,204,135,163,205,196,195,195,193,192,190,188,192,196,197,199,202,204,205,206,207,207,207,206,206,205,205,201,215,195,136,155,207,197,197,197,195,192,191,189,194,197,199,200,203,205,207,208,208,208,208,208,207,207,206,203,215,197,136,152,207,199,199,197,195,195,193,191,196,199,201,203,205,207,209,210,210,210,210,210,210,209,208,204,219,217,152,146,205,201,200,199,197,196,194,192,198,200,202,205,207,209,210,212,213,213,213,212,211,210,210,205,224,220,152,139,204,202,201,200,198,196,195,194,199,202,204,207,209,211,213,214,214,214,215,214,213,212,212,206,227,212,144,137,207,204,202,201,199,197,196,196,200,203,207,209,212,213,215,216,217,216,216,216,215,214,214,208,228,211,146,139,210,206,204,202,201,199,197,196,202,205,209,211,213,214,217,218,218,219,219,218,218,216,215,212,237,209,148,139,210,207,206,204,202,200,199,197,203,207,210,213,215,217,219,220,220,221,220,220,220,216,218,209,196,176,130,137,214,207,207,206,203,201,199,197,204,209,212,214,217,219,221,222,222,222,222,222,220,222,239,203,146,119,103,155,219,208,209,207,204,202,200,199,206,210,214,216,219,221,222,223,224,224,224,221,219,204,201,206,168,134,89,189,221,210,211,209,207,204,202,200,208,211,215,217,220,222,224,224,226,226,221,234,233,177,126,178,227,159,124,173,208,217,213,210,208,206,203,202,208,212,215,218,221,224,225,227,222,229,199,166,212,183,141,158,233,153,136,120,148,167,212,211,208,208,206,203,209,213,217,220,223,225,226,226,238,239,200,146,171,203,158,139,201,162,151,136,161,130,189,218,209,208,207,205,210,214,218,221,223,226,226,233,241,228,216,180,145,198,156,128,171,171,162,145,157,119,180,221,210,210,208,206,210,215,219,221,224,227,226,245,241,217,224,185,140,172,155,128,163,139,131,156,139,111,178,223,211,211,209,207,209,214,218,221,224,226,226,240,234,195,199,183,133,145,153,113,187,188,117,175,163,112,158,224,211,210,208,207,212,215,219,223,225,227,229,231,231,209,199,165,116,139,140,98,183,194,120,160,168,110,142,224,211,211,208,205,211,216,220,223,225,227,229,234,242,227,208,156,136,143,151,121,170,173,152,153,144,106,178,222,211,211,212,215,211,216,221,224,225,227,228,233,245,233,221,160,142,142,162,173,216,197,173,155,114,129,223,222,223,220,203,167,213,219,223,226,228,231,233,235,245,240,217,174,158,149,202,226,207,180,149,143,111,185,228,193,171,148,110,88,170,171,172,174,175,175,172,172,231,237,210,192,169,161,211,218,189,162,142,132,112,137,119,88,75,72,78,82,149,150,150,151,150,148,149,137,200,236,210,195,180,154,183,192,168,147,133,117,91,75,73,75,81,79,73,75,156,156,156,156,156,156,165,138,136,234,211,195,179,146,147,146,141,129,116,92,78,80,81,74,74,82,78,72,156,156,155,154,155,155,156,134,87,157,205,197,161,130,132,130,132,109,79,91,72,69,78,77,70,74,80,79,157,158,159,157,157,157,152,113,100,95,129,153,137,133,127,121,110,77,54,78,86,61,68,76,74,71,74,79,157,158,158,157,156,159,136,102,103,101,91,101,125,119,103,96,78,57,55,67,87,74,58,72,74,72,72,78
24,109,115,122,126,130,134,137,141,144,147,150,154,155,157,158,160,160,161,161,162,163,164,163,164,164,163,163,162,111,117,123,128,132,136,139,143,147,149,152,155,158,160,161,162,161,163,163,164,165,165,166,168,167,166,165,165,113,120,125,132,134,138,141,144,148,152,155,157,159,162,163,163,164,166,167,166,168,168,169,170,168,168,168,168,115,122,129,120,137,140,143,147,149,153,157,159,161,163,165,166,167,169,169,169,170,169,170,171,170,170,171,171,115,126,135,73,111,147,143,149,152,155,158,161,163,165,168,169,169,169,170,171,172,170,171,171,172,172,172,171,117,126,126,68,66,151,145,151,154,157,161,162,163,167,170,170,169,171,172,174,175,171,173,175,174,174,175,174,119,127,134,87,44,135,151,150,157,159,161,166,169,171,171,175,175,172,175,175,176,175,175,176,176,176,176,175,120,127,138,105,40,106,158,153,157,160,166,164,150,164,177,151,162,179,174,176,178,176,175,177,177,177,176,178,123,130,138,123,65,65,157,152,116,102,153,161,117,80,128,136,91,151,183,176,178,177,178,178,178,169,149,109,123,131,136,145,95,42,120,147,123,108,112,172,139,77,105,152,88,77,187,178,178,179,179,179,170,149,102,79,125,131,136,146,115,72,77,133,165,144,105,159,153,96,125,152,86,56,171,184,181,181,179,174,156,111,81,171,125,132,137,142,140,107,75,66,163,157,102,136,160,96,120,154,88,40,149,190,181,183,175,170,137,69,137,193,127,133,139,143,151,116,87,87,119,169,120,112,165,103,104,161,108,34,135,194,183,171,173,165,101,65,182,185,128,135,141,146,151,133,145,128,98,142,125,71,144,99,78,158,125,38,95,195,158,154,169,133,61,140,192,184,129,136,141,146,147,160,158,99,67,91,115,46,109,97,66,194,159,33,34,105,127,151,138,72,105,197,184,188,128,135,141,147,149,157,145,107,83,80,102,74,96,109,64,103,83,38,84,117,129,125,88,70,182,189,188,189,129,136,140,145,149,152,171,151,104,87,84,98,70,135,93,71,135,146,153,137,103,89,52,133,197,184,188,188,129,137,141,145,149,153,171,162,133,111,88,76,82,125,149,182,179,163,147,125,87,63,74,185,186,186,188,187,129,136,142,146,151,154,170,172,159,127,91,68,110,156,183,175,166,150,134,108,76,56,156,192,186,190,190,189,130,136,141,145,152,154,170,179,169,126,91,87,129,167,180,172,159,136,112,94,55,118,196,186,189,190,190,191,129,135,142,147,151,154,163,174,177,136,116,122,124,166,176,171,150,128,102,73,66,183,189,187,189,190,190,190,125,133,139,145,150,156,159,168,172,145,123,132,108,148,164,157,139,123,91,55,139,201,190,192,191,192,193,192,77,81,82,85,88,95,95,133,167,143,126,123,89,115,143,127,117,100,71,78,164,165,169,172,175,179,184,186,68,68,70,71,70,72,66,84,169,149,117,106,77,107,137,116,94,77,62,73,78,78,83,84,86,90,91,90,72,73,77,78,79,79,81,76,156,139,105,94,88,110,133,107,80,59,60,82,81,82,82,84,78,76,84,99,72,72,74,75,74,76,77,74,160,135,116,111,110,112,120,95,65,51,68,84,83,83,85,88,107,148,158,144,73,74,77,76,76,78,76,80,174,152,138,133,117,103,111,82,59,49,75,85,84,85,79,107,177,168,185,156,74,75,76,77,77,78,76,85,167,152,148,137,103,93,103,72,59,46,75,85,83,84,83,163,199,161,146,184
4,206,206,206,207,208,209,208,206,210,209,208,211,211,210,210,210,211,211,211,210,213,210,206,206,208,206,205,205,208,209,208,209,209,210,210,211,211,212,211,212,211,211,211,211,212,212,211,211,211,210,211,211,210,210,208,206,210,211,212,211,211,212,211,212,212,212,210,211,211,213,217,213,213,216,219,214,212,211,212,211,210,211,210,208,211,213,213,212,214,213,212,213,214,214,215,215,214,195,184,208,212,188,182,215,218,217,212,212,212,213,212,209,212,214,214,213,214,214,215,213,214,213,201,211,254,220,167,156,227,191,138,140,210,198,216,218,215,215,214,212,213,213,214,216,215,215,218,217,215,231,225,189,194,255,201,137,234,223,158,92,176,143,129,216,219,214,214,213,215,214,214,215,218,219,219,216,222,248,246,208,137,233,219,122,225,233,160,141,219,170,84,133,229,213,216,215,215,218,219,219,219,220,222,215,235,220,237,210,133,199,222,99,197,237,141,146,227,169,98,101,229,218,219,218,216,219,220,220,221,220,220,222,249,187,221,216,114,170,230,126,149,208,117,158,237,198,98,120,234,218,221,217,216,219,219,220,223,222,216,236,229,145,165,226,130,140,231,197,180,181,188,221,244,203,116,142,237,219,223,219,219,220,219,221,223,222,222,242,228,188,154,190,130,104,149,196,197,198,218,221,216,180,151,108,222,224,223,222,219,220,219,221,223,221,237,238,215,193,155,125,86,89,111,107,158,169,179,195,180,159,183,91,173,237,222,223,219,220,221,221,223,223,239,223,184,151,142,119,86,98,127,79,122,130,133,150,134,182,191,116,116,239,222,224,219,221,222,222,224,223,244,228,185,138,110,103,95,113,122,119,165,161,129,82,165,235,201,156,86,203,233,223,220,221,222,223,225,224,255,247,205,154,112,86,95,125,111,162,194,184,147,168,189,229,223,195,103,136,243,222,219,221,222,223,224,227,253,251,215,159,110,93,96,127,144,200,182,194,208,232,229,212,231,185,115,98,236,227,218,220,221,222,221,229,255,253,229,161,111,113,101,109,156,183,194,224,232,222,226,205,188,159,122,84,215,231,219,220,222,222,220,230,255,249,236,163,122,142,121,129,170,188,220,229,225,217,207,192,153,130,107,103,225,228,220,221,221,223,221,234,251,247,221,171,165,149,130,187,215,230,238,231,220,203,187,167,134,103,83,190,234,227,220,221,221,223,221,233,251,246,227,198,183,155,130,210,238,236,244,229,208,189,172,146,117,76,152,237,228,230,221,222,222,223,222,225,254,244,241,216,183,182,142,195,241,237,237,216,186,173,159,131,92,108,229,230,231,229,220,221,221,222,224,214,245,247,251,227,197,185,161,192,240,232,222,200,173,157,136,112,80,195,239,230,231,229,226,226,226,226,229,215,231,245,234,213,201,182,169,188,225,217,203,185,156,141,121,81,129,240,230,231,231,229,194,198,205,205,211,202,227,249,222,200,201,189,173,186,202,201,182,161,141,131,106,85,218,244,239,239,238,238,102,105,105,106,113,98,207,248,217,208,211,198,177,184,197,193,176,144,125,120,85,119,197,193,202,204,198,196,98,98,96,97,101,78,197,251,220,218,212,199,178,186,202,200,174,124,111,99,87,95,97,96,87,90,131,148,101,100,102,103,107,84,199,255,222,218,217,211,181,179,201,195,150,106,98,84,96,99,93,98,146,183,229,251,99,99,101,102,108,82,194,255,224,219,227,230,185,163,197,178,125,99,87,90,116,118,149,200,255,239,184,213
11,158,164,169,174,176,179,182,185,187,190,191,193,195,198,200,200,202,203,203,205,207,207,207,208,208,207,207,206,160,165,171,174,177,182,184,186,189,191,193,195,199,201,201,202,203,205,207,208,209,210,210,209,210,210,209,208,162,166,171,175,177,182,185,187,191,192,194,196,200,201,201,204,205,207,208,209,210,210,212,211,211,211,210,210,162,168,173,177,180,182,183,188,192,193,196,197,200,203,203,201,209,208,209,210,211,211,211,212,212,212,212,212,163,170,175,177,180,183,186,190,193,196,198,199,202,203,208,188,165,213,210,212,213,213,213,213,213,213,214,213,165,171,175,179,182,185,188,192,194,198,199,202,203,202,212,196,125,206,214,213,213,215,216,215,215,215,215,214,166,171,175,180,184,186,189,194,196,198,201,202,205,202,222,187,124,207,215,215,215,215,215,216,216,215,215,214,166,172,178,181,184,186,191,194,198,200,203,203,205,204,232,161,135,219,213,216,217,216,216,217,217,216,217,217,167,173,179,183,185,187,191,194,198,201,203,205,205,214,234,148,155,224,215,218,219,218,218,218,218,218,217,216,168,174,178,183,185,188,192,194,198,202,203,204,203,228,203,129,179,223,217,218,219,219,220,219,220,218,218,218,169,175,178,183,186,189,192,195,200,202,200,201,208,234,156,123,205,219,217,218,218,219,220,220,220,218,219,218,169,176,179,184,188,188,194,196,196,196,217,214,161,177,137,142,223,216,218,219,219,220,220,220,220,220,219,218,169,175,180,182,186,193,185,198,220,175,179,201,146,119,120,180,225,217,219,219,219,220,220,220,220,220,219,219,169,175,179,205,230,220,175,135,211,170,124,172,142,108,113,210,219,217,220,220,220,221,221,221,221,220,221,221,170,170,201,214,199,221,175,123,192,146,138,189,132,94,134,225,216,219,220,221,221,223,223,223,223,221,222,221,168,177,205,188,168,208,168,127,185,126,156,179,121,88,160,229,217,220,221,220,221,223,224,224,223,223,222,220,164,192,213,167,137,187,158,121,165,120,168,156,105,86,177,227,217,219,220,221,222,222,223,224,224,224,223,221,165,215,210,172,143,168,122,127,142,112,160,134,97,82,186,227,217,221,223,224,223,226,227,223,224,223,223,223,179,234,200,174,145,144,112,141,114,120,179,108,85,89,160,224,218,215,207,197,191,187,208,229,223,223,223,222,201,235,192,172,147,130,123,160,83,95,149,92,117,138,140,181,199,206,205,195,183,162,147,184,228,224,223,223,204,224,197,179,158,136,133,148,132,150,162,176,182,178,185,195,202,196,180,160,152,160,151,120,210,228,223,223,197,221,202,188,166,147,159,188,206,200,196,196,192,175,181,182,151,147,165,181,204,219,206,183,217,227,224,224,200,229,203,192,168,153,172,205,197,187,195,188,179,149,138,137,170,209,227,231,230,228,229,231,226,225,225,224,220,230,194,182,159,154,173,194,187,184,188,170,138,114,152,204,229,226,224,224,225,226,225,225,226,226,226,226,231,193,175,166,159,162,169,174,181,177,158,117,119,180,223,225,222,223,224,225,226,227,227,226,226,226,226,227,229,187,172,174,171,166,166,157,163,141,105,144,208,224,218,220,223,224,224,225,226,227,227,226,227,228,226,225,222,204,162,187,187,169,160,139,130,111,170,217,215,213,216,218,220,221,220,222,224,225,225,226,223,224,226,231,221,206,157,196,191,162,141,125,102,163,219,207,210,213,215,217,218,220,221,221,223,223,224,224,236,246,247,248
11,146,149,151,153,155,155,156,157,157,156,155,154,151,152,152,150,148,147,144,144,143,141,139,137,136,135,133,129,149,152,153,155,156,159,158,158,158,157,157,156,154,155,157,154,151,150,148,147,145,144,142,139,137,137,134,131,149,153,157,157,159,161,160,160,160,161,159,157,156,155,141,153,156,152,151,149,146,145,144,143,139,138,137,134,153,155,158,161,162,161,161,162,162,163,161,161,158,175,107,94,164,152,153,153,150,147,147,145,142,139,138,137,155,157,160,163,164,164,163,163,164,164,164,163,161,179,114,60,161,155,155,155,153,150,149,148,145,141,139,138,156,159,162,163,165,165,165,166,166,167,165,164,164,174,112,66,156,158,155,156,154,153,151,148,146,145,142,139,160,161,164,164,167,169,168,168,168,168,167,165,164,190,128,71,154,162,157,157,156,155,153,150,148,145,143,141,160,165,165,167,170,170,171,171,170,168,169,168,168,198,138,68,147,166,158,158,157,156,154,151,150,146,144,143,163,165,167,170,171,171,172,172,172,171,170,167,175,191,122,60,148,166,160,160,159,157,155,152,150,149,147,145,164,166,169,171,171,172,172,172,172,172,175,172,182,181,119,57,155,167,161,161,160,160,158,155,152,151,147,146,164,169,172,173,173,173,175,179,181,174,143,128,188,176,121,66,161,166,164,164,162,162,160,157,154,151,146,146,169,171,173,173,176,182,177,155,148,168,119,54,136,151,93,68,172,167,165,165,164,162,160,158,156,153,150,147,169,172,176,176,163,149,180,125,57,96,138,71,38,67,41,77,183,170,168,165,164,163,162,158,157,155,152,148,170,174,176,185,155,65,122,142,55,78,141,70,19,36,24,115,184,169,170,168,167,166,165,162,156,155,154,152,174,174,183,195,171,88,80,155,62,76,121,57,22,35,23,127,183,171,171,167,163,155,144,150,164,159,154,152,176,175,201,207,175,98,51,126,54,57,105,48,18,22,13,125,186,171,171,158,154,133,109,98,104,153,156,152,174,184,204,182,161,105,29,82,47,72,115,64,12,18,18,133,183,170,185,163,126,91,65,60,27,110,166,152,175,185,215,183,160,96,25,101,54,90,171,93,24,31,34,110,172,175,158,93,29,41,83,103,91,140,164,155,177,189,220,200,144,74,47,146,101,92,210,90,21,54,87,121,165,156,93,20,68,164,177,175,173,166,158,155,176,192,220,187,133,133,75,165,179,41,102,68,62,107,98,116,124,87,23,89,185,175,169,167,162,162,161,157,176,191,216,186,155,138,73,127,119,41,118,153,132,114,83,85,70,18,86,191,175,173,172,169,166,163,162,160,179,189,209,195,173,141,147,159,165,152,145,135,118,102,76,53,19,63,184,178,177,175,172,170,168,165,164,161,179,185,202,191,170,142,128,143,167,152,136,125,100,94,63,14,78,180,183,178,178,176,172,171,169,167,164,162,196,195,196,188,157,117,105,129,139,129,124,101,93,75,19,99,195,184,182,181,179,176,172,171,170,169,165,163,46,118,188,164,132,98,124,135,129,116,101,87,54,29,118,198,183,182,182,180,180,176,174,172,170,168,164,163,0,11,148,166,156,154,140,123,118,90,61,17,66,161,196,185,185,182,181,180,178,176,174,172,168,165,163,161,20,13,26,110,153,147,123,107,95,63,12,59,202,195,186,187,186,184,182,181,179,177,175,172,172,167,164,164,9,12,4,11,61,83,92,82,59,26,1,159,199,187,189,188,187,185,184,181,179,179,175,173,171,167,166,153
7,138,139,139,140,140,140,140,140,139,139,139,138,137,137,136,135,135,133,131,131,130,131,118,43,29,18,20,44,141,142,141,142,143,143,142,143,142,142,141,140,139,139,139,138,137,134,133,133,133,130,137,65,19,4,14,32,142,143,143,145,147,145,144,145,144,145,144,143,142,141,140,139,139,136,136,135,134,133,140,92,1,0,12,19,145,146,149,147,148,148,147,146,146,147,146,145,145,144,141,141,141,139,139,137,136,136,135,128,10,0,0,13,146,148,150,149,149,149,149,149,149,149,148,148,147,149,146,144,143,143,141,139,140,136,135,140,89,28,5,27,148,148,150,151,152,150,151,152,152,151,149,148,148,135,133,140,137,129,122,128,117,136,134,134,92,94,108,94,150,152,154,155,155,154,154,154,151,152,151,152,152,129,115,139,146,129,115,118,102,147,130,116,49,117,139,125,153,155,156,156,156,156,157,157,157,163,170,169,156,132,125,132,117,117,99,97,91,89,88,124,76,132,86,108,154,156,157,158,158,154,151,163,174,177,176,165,153,142,142,132,89,88,118,103,98,86,82,86,73,101,72,141,155,159,160,159,177,167,154,157,165,164,159,155,154,154,146,126,106,97,117,114,106,107,90,64,67,105,84,143,157,161,158,174,194,176,162,154,159,162,160,159,157,152,149,123,107,98,88,78,74,72,60,54,45,59,88,131,159,160,160,192,193,177,145,135,147,161,161,157,146,131,118,95,82,72,64,71,77,86,84,92,104,113,138,146,163,161,171,200,189,167,130,133,145,134,127,117,104,95,81,65,61,134,158,148,154,156,153,155,151,152,135,74,165,160,190,197,183,161,149,144,129,118,123,127,121,115,109,118,92,54,138,161,154,152,151,149,147,145,147,81,161,170,203,193,190,186,184,153,128,135,136,134,122,111,108,103,86,21,8,145,160,154,152,152,149,147,148,131,157,189,202,196,195,195,191,148,110,124,123,117,108,102,93,82,63,32,0,113,167,154,154,152,151,148,147,147,175,202,201,197,194,189,176,137,117,103,77,61,72,89,100,107,110,42,21,145,160,156,157,155,153,151,149,146,199,203,201,198,192,182,167,146,126,106,84,84,119,140,125,111,126,68,137,166,157,158,158,156,153,152,149,147,200,202,202,196,184,176,157,132,131,133,109,119,133,119,107,98,92,54,154,165,160,160,159,157,154,153,152,148,201,201,199,193,179,155,129,137,156,143,117,117,113,104,97,88,59,45,164,165,163,161,158,158,157,154,153,150,203,200,195,187,165,149,153,171,168,148,123,94,78,63,49,34,36,119,171,163,166,163,161,159,157,156,153,150,199,192,185,174,165,167,170,164,154,128,96,62,60,76,43,94,148,171,167,167,166,165,162,159,157,156,153,152,191,182,176,173,173,173,155,144,140,119,86,62,144,178,167,178,174,169,169,167,166,165,164,162,158,157,155,154,177,176,177,170,165,164,147,142,131,92,54,145,184,172,175,171,170,171,170,168,166,165,165,163,161,159,156,153,169,165,170,163,153,148,142,126,90,47,131,186,173,175,173,172,172,172,172,169,169,166,165,163,161,158,157,148,168,161,156,144,134,131,118,88,43,117,186,173,174,174,173,172,171,171,169,166,166,166,165,163,160,164,158,136,163,153,139,120,112,102,73,45,119,184,177,177,176,175,173,172,171,171,169,167,166,165,164,160,162,139,132,148,140,126,106,88,77,60,40,122,188,175,178,177,177,176,173,172,171,171,169,168,168,165,164,163,153,39,17,89
20,151,152,153,153,154,155,155,156,156,156,156,156,155,156,155,154,152,154,152,150,150,149,147,147,144,143,142,140,155,156,157,156,157,158,158,159,159,158,159,158,158,159,157,164,154,122,159,156,152,152,150,149,148,146,144,143,159,159,159,160,161,161,161,161,162,162,162,162,162,162,160,168,163,103,131,150,158,154,153,152,151,149,147,146,161,162,164,164,164,164,164,165,165,166,165,164,165,165,163,167,165,98,85,106,152,159,157,155,154,152,150,149,164,165,166,166,166,167,168,168,169,169,168,168,169,169,166,174,162,87,114,114,127,167,159,158,157,156,153,152,168,169,169,169,169,171,171,171,171,171,170,171,172,172,168,178,158,84,135,131,105,169,161,161,159,158,156,154,170,171,172,172,173,173,174,173,174,174,174,174,174,175,171,184,164,92,139,138,100,168,165,164,162,161,159,157,173,174,174,175,175,175,175,175,176,176,176,176,176,176,173,190,152,87,144,158,103,164,170,166,165,165,163,159,176,176,176,176,177,177,178,179,178,178,178,178,179,179,180,196,137,89,160,157,98,160,174,169,167,166,165,163,178,178,179,179,180,181,181,181,181,180,180,182,181,169,166,195,144,104,174,155,92,156,176,171,171,169,167,165,181,182,182,183,183,182,183,184,183,183,183,183,184,177,157,154,146,99,155,160,101,155,178,172,172,171,170,167,183,183,183,185,184,184,185,186,185,185,185,185,183,190,194,163,129,107,143,165,111,149,182,175,175,173,172,169,184,185,185,186,187,187,188,187,188,188,187,188,186,154,164,164,160,129,110,142,105,144,186,176,176,173,172,170,186,187,188,187,188,188,189,188,189,189,189,188,192,164,96,150,175,122,80,98,91,134,189,178,177,175,173,172,188,188,188,189,189,190,189,189,190,190,190,190,194,168,73,127,173,139,97,83,74,122,191,180,179,177,175,175,189,189,189,190,191,191,190,191,192,190,191,191,187,165,114,104,137,156,121,112,78,106,192,181,181,180,177,176,190,190,191,192,192,193,193,193,193,193,193,186,186,166,141,101,82,134,139,120,83,86,190,184,183,182,179,179,192,193,193,194,194,194,193,194,193,194,189,186,169,168,163,133,97,106,132,131,96,77,180,188,183,183,181,180,193,194,195,195,195,195,195,195,195,195,186,177,136,121,154,147,104,91,116,154,126,75,147,196,184,184,182,181,195,195,195,196,196,195,196,197,198,196,186,180,150,89,97,141,91,75,103,155,152,96,93,192,187,185,185,182,196,197,197,198,198,197,198,198,198,198,187,173,152,122,80,108,96,78,136,177,164,115,74,179,191,187,186,183,198,198,199,199,199,199,199,200,199,200,185,180,177,127,91,108,120,116,183,180,154,99,84,189,190,188,187,184,198,199,200,200,200,200,200,201,200,203,184,181,180,135,110,110,170,193,192,159,140,78,111,200,187,188,188,185,198,199,200,200,200,200,201,201,202,204,185,175,170,146,114,108,180,193,174,143,124,74,143,201,188,189,188,187,198,199,199,200,200,200,200,200,201,204,187,166,163,146,118,108,170,178,159,130,105,73,172,196,188,189,187,185,199,199,200,201,201,201,201,202,202,203,196,168,163,147,129,116,168,178,150,117,83,90,197,190,187,188,193,189,199,199,201,201,201,202,202,203,203,203,205,176,161,150,136,110,153,165,132,100,63,146,202,194,196,186,156,113,200,200,201,201,202,203,203,203,204,204,203,182,167,150,133,112,127,135,101,73,81,195,193,162,137,101,65,57
4,212,212,212,213,215,215,215,213,216,215,214,217,217,216,216,216,217,217,217,216,219,216,212,213,214,212,212,211,214,215,215,215,215,217,216,217,217,218,217,218,217,217,217,217,218,218,217,217,217,216,217,217,216,216,214,212,216,217,218,217,217,218,217,217,218,218,216,217,217,219,222,219,219,221,224,220,218,217,218,217,216,217,216,214,217,219,219,218,219,219,218,218,219,220,220,221,220,203,192,214,218,196,191,221,224,222,218,218,218,218,218,215,218,220,220,219,220,220,220,219,219,219,208,217,255,225,177,167,231,199,151,152,216,205,222,223,220,220,219,218,219,219,220,222,220,220,224,223,220,236,229,197,201,255,208,150,238,228,169,109,185,155,143,221,224,220,219,219,220,219,220,221,223,224,224,221,227,250,249,214,149,237,225,136,230,237,171,153,225,180,101,146,234,219,222,221,221,223,224,224,224,225,227,221,238,225,241,216,146,206,227,115,204,241,153,158,232,179,114,117,233,223,224,223,222,225,225,225,226,225,225,227,252,195,226,222,129,180,234,140,160,214,132,169,241,205,115,134,238,223,226,223,222,224,225,226,227,227,222,240,233,157,175,230,143,153,235,204,189,189,196,226,247,209,131,155,241,225,228,225,224,225,225,226,228,227,227,245,232,196,165,198,143,120,161,203,205,205,223,226,221,189,163,123,227,229,228,227,224,225,225,226,228,226,240,242,221,201,166,139,104,106,127,123,169,179,188,202,189,170,191,108,183,241,227,228,224,225,226,226,228,228,243,228,192,162,154,133,104,114,140,97,137,143,146,162,147,190,199,130,131,242,227,229,225,226,227,227,229,228,247,232,193,150,125,119,112,128,136,133,175,172,142,100,175,239,208,167,103,209,237,228,225,227,227,228,230,229,255,250,212,166,127,104,112,139,126,172,201,193,159,178,197,233,228,202,119,149,246,227,224,226,227,228,229,232,255,253,221,170,125,110,112,141,156,207,191,202,215,236,233,218,235,193,130,114,239,231,224,225,226,227,226,234,255,255,233,171,126,127,117,124,167,192,201,229,236,227,231,211,196,170,136,102,221,235,224,225,227,227,225,234,255,251,240,174,136,155,135,142,180,196,225,233,230,222,213,200,164,144,122,119,230,233,225,226,226,227,226,238,253,250,226,181,175,161,144,196,220,234,242,236,225,210,195,177,147,119,101,198,238,232,225,226,226,228,226,237,253,249,232,205,192,166,143,216,241,240,247,233,215,197,182,158,132,94,164,241,232,234,226,227,227,228,227,229,255,247,244,221,191,190,154,203,244,241,241,221,194,182,170,144,109,123,233,235,235,234,226,226,226,227,229,219,248,250,253,232,205,193,171,200,244,236,227,207,182,168,149,127,98,202,243,234,235,233,230,231,231,231,234,220,236,248,237,219,208,191,179,196,230,223,210,193,167,154,135,99,142,243,234,235,235,234,201,205,212,212,217,209,231,252,227,207,208,197,183,194,209,208,190,171,153,145,122,102,224,247,243,242,242,241,118,120,120,122,128,115,214,251,222,215,217,205,186,193,204,200,185,156,139,134,103,133,204,201,209,211,205,203,115,114,112,113,117,96,204,254,225,224,218,206,187,194,209,207,183,138,126,115,105,111,113,113,104,107,144,160,117,116,118,118,122,101,206,255,227,224,223,217,189,188,208,203,161,122,114,101,112,116,110,114,158,191,233,253,115,116,117,118,123,100,201,255,229,224,232,234,193,173,204,187,139,115,104,107,131,132,161,207,255,243,192,219
15,151,141,115,124,80,73,136,0,0,47,43,48,52,56,59,74,92,106,118,122,127,136,141,146,151,154,158,162,160,142,118,131,73,92,135,0,9,48,45,48,53,57,63,79,94,110,121,124,130,140,145,151,155,158,162,166,167,139,121,136,64,110,127,0,21,50,46,49,54,58,64,82,98,113,124,127,133,142,149,154,158,162,165,169,171,141,128,138,58,131,112,0,31,49,48,50,54,58,66,85,102,116,125,130,138,145,152,157,161,165,169,172,172,141,136,137,58,149,94,0,40,49,48,52,58,59,68,87,105,120,129,132,140,149,156,160,164,169,173,175,171,140,142,130,60,161,73,0,46,47,47,50,52,55,70,91,107,123,130,134,141,151,159,165,169,173,177,179,173,141,146,120,66,172,54,0,57,53,60,68,79,75,70,93,111,128,138,140,148,161,169,171,172,176,181,184,169,146,157,121,100,127,98,91,89,87,99,102,96,83,74,76,85,98,115,127,135,137,143,169,188,183,184,190,161,153,149,104,100,102,94,91,74,79,79,73,69,73,87,83,81,82,82,90,103,96,83,82,118,183,200,193,162,150,121,88,86,81,79,73,70,75,74,75,73,83,95,95,87,83,78,86,106,104,94,76,50,68,150,207,162,149,154,83,92,87,57,62,64,74,76,74,76,90,95,91,86,79,80,98,95,94,94,84,73,55,45,96,159,151,164,70,147,144,0,35,57,52,55,58,64,76,94,100,95,80,90,94,97,94,95,82,77,79,68,45,158,161,161,65,163,124,0,39,55,49,52,55,57,62,84,124,159,121,103,96,93,94,89,89,77,90,86,65,159,165,155,66,179,105,0,47,55,50,52,57,58,66,86,159,153,123,91,94,81,71,76,89,77,103,101,78,164,166,147,74,187,85,0,53,53,49,53,57,61,58,125,169,119,104,43,47,54,26,53,108,92,116,103,82,168,172,135,81,192,64,0,58,52,49,53,57,56,74,170,135,103,86,44,5,9,0,61,144,124,118,86,78,171,175,124,93,196,44,0,61,52,52,53,58,49,142,187,117,91,66,27,2,0,0,90,153,144,122,79,69,171,180,112,106,196,26,0,64,52,51,53,58,51,155,177,132,90,55,2,0,0,0,110,153,162,134,85,64,175,187,102,124,190,9,0,65,51,52,54,58,50,104,186,161,115,65,4,0,33,31,82,151,162,128,85,68,178,192,91,143,190,0,11,65,51,50,52,57,59,69,173,189,146,80,15,0,34,67,98,149,131,101,84,58,180,193,84,161,182,0,22,65,50,49,51,55,58,66,133,210,162,109,73,53,61,124,136,118,87,71,74,54,184,190,78,179,167,0,29,61,49,47,48,51,53,74,102,190,188,168,156,147,156,139,90,70,61,58,59,53,188,184,79,194,149,0,38,57,47,47,47,50,52,74,100,180,165,125,116,129,147,123,65,50,55,41,58,66,190,174,80,207,128,0,47,56,45,44,45,49,55,67,151,179,114,111,110,122,150,122,60,45,42,83,51,40,192,163,90,217,105,0,48,49,41,40,43,48,54,66,173,151,111,102,102,109,132,121,71,42,159,204,42,26,196,151,97,220,91,0,63,56,45,43,42,43,48,67,140,137,110,107,92,80,100,102,66,45,209,216,52,33,199,141,114,203,147,109,107,111,105,100,95,96,99,101,109,121,126,158,159,82,53,136,89,83,187,196,59,40,201,129,128,199,157,85,82,91,90,91,92,98,99,97,90,92,96,98,172,147,65,99,102,95,108,106,56,44
15,152,152,145,92,162,117,25,87,97,97,99,104,108,114,130,143,153,161,164,168,173,179,185,189,193,196,198,200,157,157,143,96,170,107,26,92,96,98,101,106,109,115,133,145,156,162,165,169,175,181,187,191,194,198,200,203,161,163,138,102,178,98,30,96,96,98,102,106,109,116,134,147,158,164,167,171,178,184,190,195,197,199,203,205,165,169,134,109,185,86,34,99,96,99,103,107,109,118,137,147,158,167,170,172,179,184,191,196,199,200,204,206,166,174,128,118,188,74,42,102,97,100,104,109,109,120,137,149,160,168,171,175,181,188,194,197,200,204,206,208,170,178,121,129,188,66,51,104,98,103,106,110,111,120,137,151,162,169,173,177,184,190,195,198,202,206,208,211,173,182,115,140,185,47,50,97,92,95,101,106,110,121,139,153,164,171,174,179,186,192,197,200,205,208,210,212,176,186,113,168,189,124,121,143,134,131,125,118,114,122,138,153,164,174,176,179,187,192,197,202,205,209,211,213,180,182,132,206,169,169,166,192,177,174,176,181,163,147,135,149,160,162,165,184,188,192,199,202,206,211,213,214,180,182,115,165,119,125,125,160,141,136,173,190,165,141,147,179,187,165,133,131,194,195,199,205,208,212,214,217,183,183,104,177,136,69,96,123,118,113,154,173,149,124,163,192,181,179,189,115,132,201,203,205,210,214,216,218,189,179,103,199,155,21,91,104,102,105,109,137,137,159,205,181,167,196,199,175,112,119,209,209,211,215,218,221,194,175,105,206,140,24,100,105,103,101,113,153,157,160,200,161,157,192,177,193,148,95,119,213,216,213,220,222,197,170,112,214,129,23,104,104,102,101,198,184,130,117,127,122,163,173,174,172,152,130,85,113,207,223,219,223,204,163,118,221,116,27,107,104,99,112,208,197,147,107,69,78,166,190,179,134,123,120,107,82,96,202,228,223,212,158,130,225,104,31,110,103,103,89,169,218,182,164,142,148,161,163,151,106,95,104,98,97,80,98,221,227,218,149,141,226,91,37,114,101,101,145,195,200,193,165,144,146,139,135,143,116,94,99,95,91,90,70,138,242,220,142,153,223,81,43,117,92,175,200,182,159,180,149,103,121,118,117,120,103,94,100,97,93,89,88,79,174,223,134,161,222,71,49,117,95,186,163,137,125,143,114,90,95,92,91,91,94,101,116,114,93,86,92,89,87,223,128,175,220,58,56,118,99,122,118,95,119,117,91,87,103,88,76,110,114,124,136,120,86,84,92,93,89,225,124,187,215,50,63,116,102,100,102,101,138,191,150,114,111,108,92,102,115,123,123,106,85,86,94,97,95,223,121,200,211,42,69,116,102,103,104,107,105,127,130,98,78,121,145,82,91,121,114,97,91,93,101,97,94,224,118,216,210,34,76,115,101,101,103,105,108,111,129,143,156,168,147,125,120,106,99,95,98,103,101,97,95,221,118,227,203,27,82,116,100,100,101,103,105,114,136,154,168,183,169,84,107,132,135,123,112,95,80,74,70,213,122,237,192,23,89,114,101,101,101,102,104,113,134,151,163,185,141,74,69,146,121,76,55,38,32,32,22,206,124,244,181,20,94,110,98,98,99,100,103,113,132,151,165,185,116,87,88,38,45,47,34,30,27,22,17,195,133,251,167,19,99,108,96,96,97,100,100,110,132,150,169,173,101,81,87,64,22,54,38,31,27,23,17,187,144,255,155,19,103,107,96,95,95,98,99,109,130,148,170,153,86,84,81,80,14,37,39,26,21,22,17
21,14,56,71,77,85,98,113,122,130,135,139,142,145,147,150,158,157,158,160,161,163,166,166,166,167,168,169,168,19,60,72,78,86,99,115,124,131,136,139,143,145,154,153,126,158,161,162,164,165,167,168,169,169,170,170,170,25,64,73,80,87,102,117,126,132,137,141,146,142,174,160,80,149,166,164,166,167,169,171,172,172,171,172,172,32,67,74,82,88,104,119,127,133,139,143,147,144,176,162,89,143,169,166,168,167,170,172,172,172,173,174,174,39,69,74,83,92,107,120,127,134,139,144,148,145,177,159,91,136,172,166,170,171,173,175,175,174,178,177,177,45,71,75,84,93,109,121,131,137,140,147,151,146,177,166,100,131,175,167,171,173,175,177,175,130,142,184,178,53,72,77,85,95,112,123,132,138,142,148,151,149,175,168,108,120,178,171,173,175,175,180,159,100,124,188,178,58,72,79,87,97,113,124,133,140,146,150,151,150,173,166,114,106,176,172,175,176,182,176,137,97,170,184,180,62,73,80,87,98,115,125,133,140,146,150,152,151,180,178,116,102,176,172,175,177,185,163,111,127,190,181,183,66,74,81,89,100,119,127,135,141,147,150,154,153,186,184,127,109,178,174,177,179,168,139,101,175,187,184,184,69,76,81,89,102,119,127,136,142,147,151,154,150,175,166,121,104,174,174,180,181,160,104,131,194,183,185,185,70,76,83,90,104,120,129,136,142,148,152,185,149,136,137,102,100,175,175,180,180,144,97,177,188,185,186,186,71,76,85,92,106,121,129,137,145,147,159,193,143,102,95,83,103,160,168,173,166,101,136,194,185,188,188,187,72,77,85,92,107,123,131,138,145,149,184,150,124,99,69,79,106,145,157,153,122,95,185,187,187,188,188,188,72,78,85,92,109,124,132,141,141,183,196,170,140,122,77,68,93,122,136,123,83,145,197,186,189,189,189,189,73,78,86,94,111,123,132,139,145,192,184,203,182,143,90,66,88,102,119,100,96,192,189,189,189,189,189,190,73,79,87,96,112,123,133,135,164,167,166,196,183,118,85,74,79,92,101,81,143,198,188,190,191,191,191,191,73,80,89,96,115,125,136,136,181,178,144,115,147,117,91,78,75,81,84,78,175,193,191,191,191,191,191,191,75,81,88,97,115,125,136,140,183,148,113,98,139,135,100,79,77,74,78,80,180,192,192,193,194,194,193,193,76,83,88,98,116,126,134,148,193,155,149,132,132,158,110,91,82,76,72,82,183,194,192,193,194,195,195,194,76,83,89,99,117,127,133,156,193,168,153,123,190,191,124,114,88,72,71,90,190,193,193,193,194,194,194,195,75,83,91,101,118,127,132,161,204,179,140,155,219,176,130,117,90,73,69,101,196,192,194,194,194,194,195,195,76,84,91,102,117,127,132,162,204,159,140,171,197,152,118,109,95,77,65,128,202,191,194,195,195,195,196,196,78,85,89,102,119,129,135,158,186,153,151,165,186,149,128,99,93,79,67,157,197,191,195,195,196,196,197,197,78,84,89,103,119,129,135,152,170,170,166,162,189,145,139,107,80,76,73,175,196,192,195,195,196,197,197,197,77,83,91,106,119,128,137,145,174,192,150,166,183,134,121,101,78,70,86,187,194,194,196,196,196,197,197,197,76,82,88,105,117,126,138,140,172,185,149,145,162,118,100,84,76,61,105,193,189,194,196,196,196,197,197,197,76,82,86,104,115,126,136,142,159,166,147,146,145,117,101,89,78,57,120,196,187,192,194,193,194,196,196,197
4,100,107,123,134,140,145,149,153,156,159,160,162,166,168,171,174,174,176,178,178,179,180,181,182,182,182,182,183,102,109,125,136,141,147,150,154,158,160,162,165,166,168,170,173,177,178,178,182,181,182,182,184,184,184,184,185,102,111,127,136,142,147,151,156,159,161,160,162,167,171,177,172,159,170,178,168,178,186,184,185,187,186,187,187,104,111,129,137,143,148,152,157,160,160,178,180,161,164,205,182,130,107,161,136,115,182,188,185,188,188,188,187,104,114,130,137,145,150,153,156,165,167,164,193,190,136,159,173,123,85,116,137,90,145,196,185,189,189,189,188,104,117,133,138,145,150,155,154,191,189,158,142,154,128,112,151,115,81,132,143,87,131,199,186,190,190,191,190,105,119,134,140,147,151,152,168,204,198,177,146,101,99,108,179,122,90,165,127,71,142,199,188,191,192,192,193,106,120,135,140,147,152,149,187,185,162,171,124,92,84,103,165,131,162,168,130,79,159,197,189,192,193,194,194,107,123,136,140,147,154,150,194,165,148,166,101,82,92,76,121,158,177,152,153,122,149,199,191,193,194,195,196,109,124,136,142,148,154,155,205,177,164,154,111,71,122,147,157,161,149,143,167,150,127,162,202,195,196,196,196,110,127,137,143,149,151,165,208,166,144,135,113,56,128,161,143,143,108,139,181,168,158,119,168,203,195,197,197,112,129,138,143,150,148,174,200,156,132,114,88,61,65,97,105,94,91,137,167,181,169,139,110,181,201,198,198,114,130,138,144,152,147,192,208,168,144,128,105,79,67,73,75,116,184,180,176,172,156,150,112,130,206,197,200,115,130,138,145,152,148,207,205,168,158,133,106,90,88,120,164,196,202,186,175,157,129,131,110,131,207,198,202,115,131,139,145,151,152,216,206,186,165,132,116,101,112,176,201,205,204,188,164,146,118,111,102,172,205,201,202,115,132,140,145,150,156,224,209,190,160,132,129,108,148,195,196,204,200,178,154,133,114,97,123,205,200,202,203,118,133,140,147,151,155,220,210,184,157,142,143,127,170,192,192,199,191,167,144,126,109,91,174,208,201,203,204,121,134,141,147,153,157,218,208,181,168,166,152,149,178,188,196,188,174,154,133,121,98,123,207,201,202,203,205,120,135,141,148,153,156,207,207,193,183,175,156,159,182,187,187,171,157,141,124,111,92,179,208,201,203,205,205,123,134,140,148,155,153,193,212,204,192,173,153,142,166,174,170,157,143,131,118,94,131,208,202,204,204,206,206,125,135,140,148,156,155,180,213,194,186,170,148,133,153,161,158,144,131,122,107,98,190,206,205,206,206,207,207,126,136,141,148,156,158,170,207,184,170,160,139,140,151,162,157,141,125,117,91,154,209,202,206,207,207,207,207,128,135,141,150,156,159,166,197,172,164,153,143,159,147,148,151,132,118,99,108,203,204,204,205,207,208,208,208,128,135,143,150,156,162,164,200,175,171,160,163,169,147,134,140,125,111,89,161,210,202,204,205,208,209,209,210,128,136,144,151,157,159,193,194,192,174,167,165,156,142,127,129,120,108,92,189,207,202,205,208,208,209,209,210,129,136,144,152,151,177,208,189,167,174,173,162,146,137,121,118,111,103,88,187,208,203,206,208,209,209,210,211,131,136,144,151,157,209,195,202,177,126,161,155,140,132,109,108,107,99,89,189,207,206,207,208,210,210,211,211,131,137,147,147,182,208,192,195,208,161,108,134,136,126,101,106,104,96,84,185,207,207,208,209,210,210,211,211
13,200,202,204,205,205,207,208,208,206,207,206,207,208,207,206,204,204,203,201,201,199,198,197,196,195,195,194,192,203,204,205,206,208,209,211,212,210,209,208,208,209,208,207,205,204,203,203,203,201,200,199,197,196,195,195,194,205,206,208,208,211,212,212,213,213,211,210,210,210,208,210,207,206,205,206,206,204,203,201,200,198,198,197,196,207,209,211,211,212,214,212,213,213,213,213,211,210,212,212,210,210,213,210,206,205,203,203,203,202,201,198,198,208,210,211,213,214,215,214,214,214,213,214,213,214,213,211,210,191,178,207,209,206,215,206,203,204,204,202,199,210,213,215,215,216,216,218,217,217,221,218,218,211,213,217,209,159,92,114,204,165,155,204,209,204,205,205,201,213,213,216,216,219,220,218,224,207,179,217,224,180,149,207,194,151,99,64,148,143,81,119,215,206,206,205,203,213,215,219,220,220,220,226,237,208,128,146,215,176,118,182,204,145,112,64,130,137,105,70,178,216,205,206,205,216,218,221,222,223,218,255,245,208,142,142,209,164,126,204,237,162,112,78,167,151,117,55,166,220,207,207,206,218,220,222,222,223,223,255,249,214,143,157,215,159,119,241,243,156,99,124,209,147,97,59,183,219,210,208,208,219,222,224,224,221,250,255,231,217,134,149,210,166,101,169,206,119,87,103,139,98,64,71,205,216,212,212,211,221,223,226,223,236,255,230,197,164,101,145,203,155,105,45,83,120,112,98,97,103,68,108,225,213,214,214,213,223,224,226,222,255,255,212,156,115,78,137,161,130,76,20,38,96,92,120,148,150,108,126,230,214,217,216,214,224,226,227,227,255,255,242,188,144,72,112,127,99,98,133,181,186,175,179,161,172,147,98,210,222,219,218,216,225,228,226,240,255,255,244,228,193,121,117,168,190,229,237,226,215,202,191,145,132,127,86,172,233,220,220,218,228,230,226,247,255,255,249,233,197,179,185,226,244,233,224,215,206,188,173,148,120,124,92,140,237,221,222,220,230,231,226,252,255,255,250,233,205,204,218,233,244,229,221,215,204,183,161,148,128,119,91,116,236,222,222,221,230,230,227,252,255,255,250,231,210,206,218,230,246,232,222,215,192,167,153,138,115,109,68,150,236,222,222,222,231,231,228,246,255,255,245,220,198,195,211,222,228,224,217,199,174,157,140,118,103,64,113,232,225,225,224,223,229,236,245,243,254,247,221,196,186,204,212,215,206,210,203,183,166,143,118,100,62,74,220,232,227,227,225,224,240,209,150,227,243,227,214,204,197,211,218,207,193,185,177,155,132,110,87,54,82,208,236,228,229,228,227,224,241,142,52,115,249,243,238,234,209,196,212,196,166,148,152,128,104,71,77,147,226,237,231,232,229,230,228,226,175,90,100,74,132,235,244,234,207,181,193,174,138,127,124,93,57,115,221,246,235,231,235,232,231,230,229,228,110,86,88,89,71,109,177,174,169,165,184,152,122,110,88,57,159,244,241,233,236,236,234,233,232,231,230,229,98,87,80,82,91,33,44,66,65,70,88,90,85,77,50,169,255,239,237,238,238,237,234,235,234,232,231,229,90,80,79,76,89,63,16,54,53,43,36,35,35,38,36,190,244,242,240,239,239,236,235,236,236,233,232,230,84,81,75,71,83,73,7,37,48,39,39,35,32,26,2,54,245,240,239,239,239,236,235,236,235,233,231,229,83,78,76,63,77,67,5,26,39,35,36,30,32,23,0,166,253,236,239,238,237,236,235,234,233,231,229,229
2,167,167,166,166,167,167,167,166,165,163,164,164,163,161,160,159,158,156,158,156,154,153,153,154,151,148,147,146,168,169,169,169,169,169,169,168,168,167,166,166,166,165,163,163,161,158,160,158,157,155,154,154,152,150,148,148,169,170,170,170,170,170,170,169,170,169,168,168,168,167,165,158,155,159,159,162,163,161,157,154,153,151,151,150,170,172,173,173,172,172,172,171,172,172,170,171,167,174,173,154,143,144,138,133,140,151,165,157,156,154,153,153,173,175,174,174,174,175,175,175,174,173,172,168,184,191,173,162,156,144,136,113,102,74,98,168,158,156,156,153,175,176,174,174,176,176,175,175,174,174,171,184,197,189,183,182,182,156,141,138,99,93,53,119,162,160,155,154,176,177,177,176,177,177,177,177,177,173,180,194,193,198,116,91,129,83,74,140,131,118,90,67,78,138,159,155,179,179,179,179,179,178,179,180,177,174,191,196,177,148,74,22,30,28,27,67,96,76,40,39,30,131,166,155,181,181,181,182,183,182,181,179,182,194,210,150,83,58,38,26,22,31,149,134,145,118,71,52,95,166,160,159,183,185,184,183,183,184,182,185,206,214,193,127,72,38,13,16,17,95,184,175,176,176,170,160,168,163,162,161,184,185,186,185,185,185,182,200,214,207,165,115,79,53,33,13,81,173,171,172,172,169,169,171,167,165,163,162,187,187,187,187,187,177,196,215,206,168,111,74,59,41,22,86,188,175,176,175,172,171,170,171,170,166,164,161,189,190,189,190,180,195,224,213,189,164,102,35,29,36,27,156,183,175,177,176,175,173,171,171,170,166,165,162,190,190,191,181,196,229,222,195,169,164,102,52,33,19,80,190,178,179,179,178,178,176,174,171,171,169,167,164,191,195,186,196,230,225,201,182,184,133,80,49,24,9,160,190,182,179,181,180,178,176,175,174,174,172,166,166,196,193,190,229,231,216,191,195,165,110,78,33,22,10,133,200,181,182,183,181,180,178,182,177,161,165,175,167,196,190,224,235,227,207,190,177,141,102,61,12,19,20,37,170,188,184,183,181,181,184,158,128,123,101,142,175,190,212,239,228,217,196,181,167,133,80,37,14,23,26,17,82,201,181,188,190,188,134,101,125,134,67,115,178,203,239,229,217,201,190,170,152,110,58,29,29,41,42,37,34,156,201,174,129,88,88,118,127,71,107,175,168,240,241,222,209,190,172,156,134,84,52,33,47,59,60,55,38,47,109,68,69,59,88,116,66,80,186,174,172,113,207,221,196,183,160,146,115,81,53,41,62,66,64,55,50,38,50,54,79,90,86,74,19,159,181,176,176,23,55,144,164,154,148,129,113,75,40,45,68,62,61,56,50,47,63,72,77,81,57,18,71,187,177,177,176,35,25,23,83,108,94,86,62,35,33,41,58,55,55,50,49,54,61,64,53,41,64,123,178,184,181,179,177,23,30,24,19,33,37,27,12,19,27,27,43,49,47,34,32,25,25,47,97,147,187,196,187,185,184,181,179,23,22,20,27,21,0,1,9,5,6,13,23,15,10,38,63,75,121,178,200,199,193,187,186,186,183,182,179,22,16,18,14,28,0,0,0,0,0,3,19,51,116,180,201,204,206,198,193,192,191,189,189,187,184,183,181,20,16,15,11,26,18,0,0,0,0,25,175,213,212,206,201,198,196,196,196,195,195,193,190,188,186,185,182,14,11,9,6,17,20,0,0,0,0,0,16,185,207,200,203,202,201,201,199,198,196,195,192,189,188,186,183
7,163,167,171,174,176,178,179,179,178,180,181,181,181,181,181,180,180,180,179,179,178,177,180,163,182,194,189,194,168,172,175,178,180,181,182,183,183,184,185,184,184,184,182,181,181,180,180,179,178,178,177,177,188,145,198,194,174,177,180,183,185,186,187,188,188,188,189,188,186,187,185,186,185,184,183,182,181,181,178,181,173,152,202,194,179,182,185,188,190,190,192,192,192,192,192,192,191,190,190,189,188,187,186,185,184,183,182,179,186,202,188,194,183,187,191,193,195,196,197,196,197,196,196,196,195,195,194,193,192,192,191,189,188,186,184,183,184,170,150,195,187,192,195,197,199,200,201,201,201,200,201,202,200,200,199,198,198,197,195,193,193,191,188,186,186,177,171,197,191,196,199,201,203,205,205,205,205,205,206,205,205,204,203,202,202,201,200,199,197,194,192,190,189,186,186,199,195,199,203,205,207,208,209,209,208,208,208,208,208,207,207,205,205,205,203,202,200,198,197,195,193,191,193,207,200,203,206,208,211,212,214,216,218,216,215,215,214,214,214,213,212,209,207,205,203,202,200,199,196,193,194,209,204,208,210,214,216,215,209,191,176,189,194,198,197,195,192,190,198,205,210,212,211,208,204,201,200,195,196,211,207,211,215,215,214,211,202,168,121,138,164,178,171,171,170,162,153,161,168,166,182,191,202,207,202,205,204,211,211,214,212,210,210,205,198,168,141,142,147,159,157,161,164,155,136,148,153,147,156,159,185,183,211,173,175,216,210,209,209,214,213,208,199,165,132,144,147,154,150,152,159,152,137,132,137,146,151,156,179,162,193,83,138,230,213,214,214,219,216,210,193,162,116,124,141,158,165,159,163,149,149,142,150,160,143,145,147,160,167,101,96,168,218,215,214,219,213,206,192,148,120,133,138,147,146,147,148,148,142,135,146,158,149,149,149,167,181,156,95,82,217,218,216,217,218,210,209,169,112,111,108,98,129,146,136,133,132,138,144,150,142,139,137,137,153,131,96,87,221,216,213,219,211,203,216,179,110,102,107,96,123,180,226,223,228,227,205,151,96,98,97,94,95,89,88,89,214,208,207,209,195,197,198,159,117,110,113,113,103,89,199,215,158,131,97,77,77,71,71,84,82,83,88,87,208,208,202,197,192,190,189,158,113,101,114,124,120,106,97,82,68,73,86,85,76,79,75,75,78,76,85,87,203,200,194,191,190,190,201,170,109,84,72,105,113,102,100,85,79,69,81,91,77,68,77,76,74,81,76,56,191,187,192,191,191,189,188,164,110,90,81,87,108,117,120,87,77,77,65,83,87,71,63,71,75,86,54,32,183,177,177,173,169,168,154,131,111,102,95,83,63,83,90,62,64,86,69,65,81,86,68,60,66,66,61,54,174,161,147,141,138,135,133,115,106,94,70,91,58,51,74,77,56,75,81,66,69,79,81,62,62,60,63,60,160,155,135,131,122,140,145,93,70,81,48,81,78,45,64,82,67,59,80,77,66,68,79,73,57,61,60,60,133,136,141,150,185,209,106,89,69,75,57,61,86,53,49,76,79,58,69,80,70,66,65,75,60,56,61,59,127,221,228,241,245,133,77,94,79,59,66,50,77,70,40,66,82,66,63,72,74,65,60,65,68,51,57,60,83,183,173,184,145,79,88,76,67,70,59,48,59,80,42,50,77,73,66,67,68,66,59,58,67,57,49,56,65,139,137,123,97,83,78,77,53,71,63,41,47,80,56,39,68,78,67,67,65,64,58,56,59,63,48,50
10,79,89,103,109,113,119,123,125,129,133,135,137,139,140,142,145,147,149,150,151,152,153,156,156,157,159,160,161,80,90,104,110,114,120,124,126,131,133,136,138,140,142,145,146,142,144,154,152,155,157,157,157,159,161,163,163,81,94,108,113,116,122,124,127,132,136,137,139,141,144,145,156,143,102,153,154,157,158,160,161,162,165,165,166,85,95,107,113,117,122,127,130,133,136,138,141,144,147,145,166,153,87,140,159,158,160,161,163,164,165,166,167,85,97,109,114,118,123,127,132,134,137,138,142,145,147,144,168,158,93,128,163,158,163,164,165,166,166,167,168,86,98,110,114,118,125,130,132,134,137,140,140,144,151,147,160,165,110,116,167,159,162,164,166,167,167,168,169,88,100,111,114,121,126,130,132,135,137,139,144,151,121,145,164,177,128,100,166,162,164,165,167,168,167,169,170,90,103,113,117,122,127,130,133,136,137,139,147,162,94,102,169,174,142,92,158,165,165,166,167,168,171,172,172,91,104,113,117,123,128,129,137,142,144,145,160,146,101,71,163,164,138,88,152,169,168,167,167,169,171,170,171,93,106,114,118,122,130,145,115,104,101,111,153,160,125,72,138,161,125,84,140,172,168,169,169,171,172,173,173,94,107,114,118,122,134,135,92,64,59,55,80,162,143,75,103,148,110,84,127,174,167,171,172,172,175,175,175,95,109,114,120,125,132,126,101,71,57,82,66,129,159,91,96,125,90,84,112,178,168,172,173,174,175,176,175,97,108,115,121,125,131,138,138,135,113,83,56,118,167,109,83,91,75,84,99,177,169,173,174,174,176,175,175,97,109,114,121,126,132,136,133,170,162,82,49,146,169,121,65,58,74,86,90,173,171,174,175,175,175,175,175,97,110,114,120,126,129,134,133,171,155,91,37,163,172,129,76,51,76,89,75,161,175,174,175,177,176,176,176,99,111,115,121,128,128,156,155,168,165,90,28,183,172,127,82,52,71,86,65,147,180,174,176,177,178,178,178,101,112,116,121,129,125,172,170,159,158,78,86,189,159,123,77,52,62,80,54,135,183,173,176,177,178,179,180,102,111,116,124,128,128,150,171,154,148,106,185,174,151,129,80,57,62,67,56,158,178,174,176,179,179,179,180,104,111,116,124,129,133,138,147,125,149,164,202,172,144,125,87,61,63,53,84,182,172,175,176,178,179,180,181,105,111,117,123,129,134,138,151,123,169,199,194,169,139,116,87,64,60,45,128,182,172,175,176,178,180,181,180,104,111,117,122,128,135,136,171,155,138,195,188,165,137,114,90,65,52,54,165,176,175,176,177,179,181,180,180,105,112,117,123,128,133,137,183,171,130,188,185,166,135,112,91,69,44,89,183,171,175,177,179,179,180,181,181,106,112,117,123,127,132,141,192,179,158,194,179,164,139,114,94,67,41,139,180,172,177,179,179,179,180,181,182,105,112,117,123,129,132,145,199,184,169,186,180,174,142,114,95,58,61,174,173,175,177,178,179,180,181,180,182,106,112,119,126,130,133,144,197,178,176,181,177,182,149,111,94,50,99,183,171,175,176,177,179,181,182,182,183,107,111,117,124,129,132,144,189,168,170,179,179,182,152,112,88,46,140,179,172,176,177,179,179,181,182,182,183,106,112,119,125,130,133,142,168,168,183,182,176,177,146,109,74,72,174,173,174,176,178,179,180,180,181,182,183,105,111,119,125,128,134,137,175,184,190,181,169,170,140,105,62,107,180,170,174,175,178,179,180,181,181,182,183
4,163,166,170,173,175,178,180,182,183,186,187,188,189,190,191,192,192,191,190,191,190,190,189,189,189,188,188,187,164,168,171,174,176,179,181,183,184,187,189,190,190,193,193,192,194,196,194,192,192,192,191,190,189,190,189,188,165,169,172,175,178,181,182,184,186,188,189,189,190,193,196,200,179,159,185,197,195,194,192,192,192,191,191,189,166,170,173,177,178,180,183,186,189,192,190,198,185,156,186,223,185,137,133,207,195,195,194,194,193,193,192,190,167,170,175,178,181,183,184,187,188,186,200,230,197,156,145,223,187,146,119,183,181,196,197,194,194,194,193,192,168,172,176,179,182,183,185,186,196,195,185,219,209,169,130,210,192,143,89,128,152,142,197,197,195,194,194,194,169,173,176,180,184,185,185,193,224,222,171,156,219,184,128,195,195,138,81,130,162,114,141,205,195,197,195,195,169,174,177,179,183,188,185,204,220,212,160,136,209,170,116,165,175,122,82,138,162,122,102,202,198,197,196,196,170,174,177,182,183,186,186,204,204,203,159,127,190,157,111,131,154,116,94,166,169,119,101,202,199,197,196,196,171,175,179,182,185,188,186,204,199,184,167,135,173,152,113,96,136,95,121,197,157,102,107,206,199,197,197,198,171,176,180,183,186,190,188,205,216,186,173,152,149,185,140,117,134,103,125,164,132,83,109,209,200,201,199,198,172,177,181,184,186,190,188,209,226,202,166,114,121,183,157,177,154,159,164,177,165,109,114,212,199,202,200,199,173,177,181,185,186,190,188,217,222,185,154,122,104,105,122,177,157,180,193,202,186,122,125,212,200,203,201,200,173,177,181,185,188,190,189,222,208,165,138,118,103,98,97,133,159,170,180,183,165,125,110,203,203,203,201,201,174,178,182,185,189,191,192,227,212,178,150,119,106,108,120,123,132,145,148,154,158,140,96,179,210,202,201,201,174,179,182,186,188,191,197,228,209,175,140,121,113,108,120,144,132,160,171,170,172,151,104,140,216,201,203,202,175,180,184,187,190,191,200,228,207,170,137,118,117,109,126,150,155,203,201,206,198,161,120,98,202,207,205,204,176,181,184,188,193,191,202,225,204,171,145,129,122,119,128,144,189,213,216,210,209,172,129,86,174,214,204,205,176,182,184,186,191,191,203,220,200,174,150,140,129,125,124,173,218,216,218,193,189,158,125,88,179,213,204,205,175,180,184,185,189,191,200,216,197,178,153,133,122,129,148,213,224,219,202,183,162,139,102,114,208,205,205,205,175,179,184,185,190,192,197,218,207,172,141,134,129,143,177,227,222,209,183,164,139,115,86,173,213,204,204,205,176,180,183,187,190,194,195,215,208,181,165,163,137,148,196,224,212,194,170,147,125,91,122,214,205,207,205,205,177,180,184,188,191,194,194,212,210,188,168,169,141,137,209,213,198,175,154,131,108,85,185,213,207,207,205,205,176,181,184,187,190,195,191,213,216,193,174,168,140,143,205,199,177,156,131,114,83,128,217,207,208,207,206,206,176,181,186,187,191,194,189,226,221,197,172,158,125,144,191,182,155,134,112,96,83,193,212,207,206,208,207,205,176,182,185,187,193,187,207,230,213,185,165,135,117,152,171,144,117,107,96,76,157,215,206,208,207,206,206,205,174,179,183,186,188,187,227,224,211,194,166,138,136,155,145,112,101,103,84,137,213,206,208,207,207,208,206,207,139,142,142,143,133,180,231,215,210,192,161,148,145,144,130,106,107,106,90,135,145,144,144,143,144,145,146,148
19,190,191,191,194,196,197,196,196,197,196,196,196,195,195,194,194,193,190,190,190,189,189,188,187,187,186,184,182,190,191,194,195,195,198,197,197,199,199,198,198,197,196,195,195,194,192,190,191,191,190,189,188,188,188,187,185,191,194,195,196,197,198,199,199,200,199,199,199,198,198,198,195,194,194,193,193,192,191,190,190,191,189,188,188,194,195,196,197,199,199,201,201,201,200,201,199,198,199,199,197,196,195,195,194,194,194,193,191,192,189,189,189,195,196,197,198,200,201,203,203,203,203,204,202,201,200,199,199,196,196,197,196,195,195,194,193,190,190,190,189,195,196,198,200,202,204,204,204,204,204,204,204,204,201,200,199,198,197,197,198,197,196,194,194,192,192,191,190,196,198,201,203,204,204,206,206,206,206,206,204,204,202,202,203,201,200,199,198,198,197,195,195,194,191,192,192,198,202,203,204,205,206,207,206,207,207,206,205,205,204,204,205,205,203,203,201,200,199,198,198,195,197,194,193,200,203,204,206,207,207,209,208,210,209,207,205,205,205,201,182,185,201,195,195,196,196,193,193,199,172,190,194,200,203,204,206,207,207,208,208,208,205,205,208,206,210,207,187,193,208,193,191,200,194,193,193,181,110,179,199,201,205,205,206,209,211,210,212,217,188,176,185,195,199,191,188,195,197,185,194,212,197,174,148,122,148,197,197,203,205,206,207,211,212,208,209,188,177,186,189,186,191,187,172,139,141,138,141,169,155,148,154,180,201,199,198,204,205,206,209,211,205,214,218,198,202,208,200,184,176,150,143,128,101,101,151,193,193,205,208,205,201,199,200,206,207,208,210,212,201,242,248,226,212,209,200,193,171,125,94,115,100,97,191,214,206,205,202,202,202,200,200,207,207,208,212,214,204,248,243,207,179,156,159,161,153,125,101,113,102,112,205,208,205,205,204,203,204,203,201,209,209,210,211,216,203,231,228,186,144,131,95,101,162,134,108,115,103,123,211,208,206,206,205,204,205,204,203,208,210,212,213,217,199,221,224,178,128,98,73,130,173,135,113,118,102,146,217,208,210,208,207,206,204,203,203,210,211,214,214,219,196,222,228,189,154,109,86,133,130,115,116,113,111,133,217,210,211,209,209,207,204,204,203,210,213,213,213,219,194,221,229,194,158,132,107,72,63,66,81,97,109,108,209,213,210,210,210,209,206,205,204,211,214,213,215,222,189,218,229,194,162,131,123,107,81,74,83,100,104,105,197,217,212,212,211,210,207,206,206,212,213,213,215,222,193,210,225,192,160,132,123,123,104,98,103,109,113,109,197,217,212,213,211,211,210,209,208,212,213,215,216,223,196,207,222,187,157,135,126,125,107,102,107,114,118,119,206,216,213,213,212,212,212,212,209,212,215,215,217,225,203,208,218,184,155,135,124,123,110,106,111,119,117,138,219,215,214,214,214,213,213,212,210,213,215,217,218,224,203,216,215,178,151,134,122,122,119,116,119,129,117,179,224,216,215,215,215,213,212,211,209,214,215,217,219,222,202,223,220,183,155,139,124,121,127,125,130,124,145,218,220,219,218,216,216,215,212,213,212,214,215,218,220,220,199,227,215,191,166,141,124,122,130,129,127,156,210,222,220,220,220,218,218,215,214,212,212,213,214,216,219,215,205,224,204,180,167,142,124,127,128,121,168,223,220,219,220,218,217,215,216,215,214,212,211,212,213,216,220,212,222,222,206,176,157,142,127,126,120,122,200,221,217,218,219,218,216,214,215,214,211,211,210
15,127,131,135,138,110,100,102,105,93,53,107,115,52,4,50,69,70,76,80,84,90,105,114,119,126,130,134,138,128,132,135,137,108,103,103,109,86,60,112,117,41,9,56,68,71,76,80,86,92,106,115,119,127,131,134,138,129,133,137,136,108,107,106,113,76,69,115,112,31,16,60,68,72,76,81,86,92,107,115,119,126,131,135,139,131,134,138,132,106,104,104,117,68,79,117,109,21,20,62,67,71,77,81,86,94,107,113,120,127,131,136,140,132,136,139,132,129,120,110,110,69,87,116,101,7,21,64,67,73,77,82,88,96,110,115,122,129,132,137,140,132,137,140,134,125,127,125,119,111,107,110,95,49,48,68,69,71,75,82,87,97,111,116,123,129,133,137,140,134,138,142,127,106,101,90,105,110,112,115,120,120,110,106,100,95,90,86,86,99,114,117,124,130,133,138,142,135,139,143,124,110,106,83,82,89,83,95,122,114,114,113,115,124,124,106,93,91,97,118,124,130,134,139,143,136,140,144,122,114,114,119,98,61,88,77,101,105,100,96,102,124,138,127,105,98,69,91,127,130,135,138,143,137,140,142,120,114,114,123,93,62,125,118,61,70,98,84,106,134,137,127,119,114,86,66,113,134,136,139,143,138,142,144,118,116,115,126,84,67,125,129,36,11,61,90,144,134,137,140,137,129,107,81,75,132,137,140,143,138,143,144,118,119,115,129,86,79,125,125,25,9,68,108,156,108,135,146,151,147,116,88,65,93,142,140,144,140,144,139,119,120,128,120,104,109,106,107,33,70,133,122,93,98,138,148,155,145,115,93,80,62,120,146,143,141,146,137,119,125,132,111,117,130,127,103,86,104,105,95,60,88,165,141,128,130,117,103,85,66,75,144,144,142,147,135,119,127,116,88,103,128,131,103,89,101,98,100,105,119,121,101,103,117,118,101,83,75,56,107,152,142,147,134,122,127,127,102,84,115,116,91,96,107,104,109,119,120,100,80,86,103,103,91,79,75,64,64,135,143,148,132,126,128,129,122,63,117,90,76,91,98,101,108,119,110,89,77,78,87,89,89,87,79,72,59,77,143,148,132,128,129,134,110,65,137,76,53,64,79,83,99,110,108,89,78,80,84,83,89,93,83,78,69,57,145,148,131,130,129,137,102,95,98,61,51,35,86,97,74,94,95,86,84,86,86,86,89,90,83,77,72,64,145,146,130,132,130,134,130,86,59,54,43,11,136,143,70,88,89,84,88,94,96,94,92,86,84,81,73,67,145,146,131,134,129,141,123,64,45,73,35,1,102,144,95,90,118,109,115,117,107,98,91,83,81,84,80,69,147,144,129,136,133,139,84,52,79,131,29,11,58,108,120,78,89,120,116,113,106,94,87,81,80,82,84,77,149,142,129,139,134,147,68,93,145,131,17,17,66,70,88,72,56,94,109,100,97,89,84,83,84,86,85,82,149,143,133,141,139,149,64,121,151,126,11,21,69,74,70,73,76,90,123,97,86,86,83,86,92,91,83,80,149,140,136,142,142,147,59,125,155,119,3,26,72,72,73,75,80,79,110,134,104,77,78,78,85,91,91,83,147,138,139,143,144,140,59,135,155,106,0,31,72,70,71,74,78,82,83,128,149,116,92,76,79,91,101,89,147,139,142,145,148,131,65,143,158,93,0,38,74,70,70,72,78,81,87,101,142,116,99,109,106,111,105,95,149,143,145,145,152,122,66,147,160,80,0,42,74,68,70,73,77,81,87,100,109,105,118,128,119,121,119,114
7,131,133,135,135,137,137,139,139,139,140,139,140,139,139,139,138,138,138,139,137,136,136,135,134,133,132,132,131,133,135,136,137,138,138,140,140,140,141,141,141,140,140,140,139,139,138,138,138,138,137,135,135,134,134,133,133,134,135,137,138,140,140,141,142,143,143,143,142,142,142,142,141,140,140,139,140,138,138,137,136,134,134,134,134,135,136,138,139,140,142,144,143,144,143,143,143,144,143,143,141,141,141,140,140,139,139,137,137,136,135,135,135,136,138,140,141,142,143,145,145,145,145,144,145,145,144,144,143,143,141,141,140,140,139,138,138,138,137,137,135,137,140,142,143,144,146,146,147,147,146,146,145,144,145,145,144,144,143,142,142,140,140,140,139,138,138,137,136,139,141,143,144,146,148,149,152,151,149,150,150,151,151,150,149,148,148,147,147,146,143,142,140,140,139,138,137,140,141,144,145,146,145,134,128,136,141,135,127,128,128,134,133,131,129,132,124,124,137,140,141,141,141,139,139,141,143,146,146,145,133,108,89,91,101,110,103,96,88,100,114,114,102,112,91,111,143,119,141,143,141,140,139,142,144,143,141,134,125,118,109,87,74,89,94,97,86,90,104,103,100,97,93,102,122,108,141,145,143,141,140,141,138,132,127,128,132,133,116,75,63,75,85,79,60,69,65,70,77,73,71,76,80,114,145,133,141,143,140,134,130,130,130,124,116,125,101,57,67,77,91,90,79,65,74,100,114,106,92,102,103,129,163,106,129,147,142,132,129,127,122,113,109,113,107,75,54,59,73,79,89,84,74,101,117,109,100,99,97,90,102,102,143,146,144,132,125,119,116,116,114,114,116,94,55,35,35,45,63,67,65,76,75,77,72,77,86,97,116,145,149,145,145,126,120,116,114,113,112,113,106,83,55,35,45,102,83,80,87,98,108,117,127,144,151,154,155,150,148,147,146,120,114,109,108,103,102,100,94,75,49,42,34,128,170,155,159,162,162,160,158,155,152,151,150,150,150,148,147,116,112,109,108,107,105,103,100,85,50,39,38,57,164,158,158,157,156,155,153,153,153,152,151,150,151,149,147,116,114,110,110,106,106,109,110,88,51,42,43,40,151,163,158,159,158,157,156,155,155,154,152,151,151,150,149,121,122,118,110,104,95,99,97,78,57,52,46,32,124,168,159,158,158,158,157,157,156,155,154,153,152,150,150,122,122,119,109,102,93,88,82,67,60,60,52,37,60,168,161,160,160,159,158,157,156,156,155,154,153,151,150,116,113,105,93,87,80,74,69,60,57,62,51,30,79,169,161,161,160,159,157,157,157,155,155,154,152,152,151,104,100,86,70,60,57,61,44,42,51,52,70,116,150,164,160,160,159,158,157,157,157,156,156,155,153,152,150,70,79,71,55,72,108,147,122,93,100,128,158,170,163,162,162,161,160,159,158,157,157,156,155,155,154,151,151,13,23,18,83,166,164,164,169,169,168,169,165,161,162,164,163,163,161,160,160,159,158,157,156,155,154,153,152,0,0,1,143,165,159,162,161,162,163,163,164,164,163,163,163,163,161,161,161,159,158,157,157,155,155,153,151,6,0,71,168,158,161,161,163,165,165,164,165,165,163,163,163,163,161,161,160,158,157,157,156,156,156,156,156,12,1,146,164,160,163,164,165,166,166,167,167,167,166,165,164,164,164,164,163,162,160,161,162,156,151,143,132,14,7,136,150,147,149,150,150,151,151,150,150,150,150,149,147,146,146,146,145,144,142,133,102,69,56,42,29
24,165,167,168,169,170,171,171,172,172,172,172,172,171,170,170,169,167,165,164,163,162,160,158,157,154,152,151,150,166,169,170,171,172,173,173,173,174,174,174,173,172,171,170,170,169,168,166,165,163,162,160,158,156,154,153,152,168,170,172,173,174,175,175,176,176,177,176,175,174,173,172,172,171,170,168,166,164,163,162,160,158,156,155,154,170,172,172,173,175,177,178,178,178,179,179,178,177,176,175,174,172,171,170,168,167,166,165,163,161,159,157,156,171,174,165,152,169,179,180,181,180,181,181,180,179,178,178,177,175,173,172,171,170,168,166,164,163,161,159,158,173,175,153,121,143,177,182,183,183,183,183,182,182,181,180,179,177,176,174,173,172,170,168,167,165,163,161,160,174,174,150,114,114,164,183,184,185,184,184,184,183,183,182,180,179,178,176,175,173,172,171,168,167,165,164,162,175,177,164,126,100,141,182,186,186,186,185,185,185,184,183,182,181,179,178,177,176,174,172,170,168,166,162,160,177,179,176,146,105,115,170,187,187,183,170,167,181,183,178,177,178,168,162,173,177,175,174,172,168,159,142,133,178,180,181,166,127,103,143,184,187,172,144,128,152,162,141,136,152,142,121,140,173,177,175,172,162,141,117,117,179,181,184,179,149,106,112,169,184,165,148,126,117,127,113,96,114,128,102,100,158,179,174,164,149,122,110,141,180,182,184,185,166,123,104,143,178,161,158,141,111,103,108,94,109,127,100,91,153,179,163,144,131,103,119,160,181,183,185,187,181,154,121,121,157,148,152,150,120,95,102,98,114,129,101,98,162,172,138,124,114,95,138,169,182,185,187,189,189,175,138,120,135,133,133,148,128,98,88,88,106,121,97,108,169,155,119,117,103,109,158,172,184,186,188,190,192,186,162,144,133,120,113,129,131,103,79,70,80,93,79,95,149,128,112,112,100,139,172,173,185,187,190,192,193,193,184,163,132,107,92,100,125,118,94,65,56,68,66,74,105,107,111,104,108,161,176,174,186,188,191,193,194,195,191,167,129,106,91,89,117,136,118,74,50,68,83,97,107,110,109,96,128,174,177,175,186,188,192,194,195,196,194,175,148,124,98,90,112,135,120,89,75,93,115,124,121,109,96,95,151,179,179,177,187,189,192,194,195,198,195,185,165,136,104,93,106,129,129,124,118,120,129,128,119,98,82,114,170,181,180,179,188,191,193,194,197,199,196,187,174,148,119,99,97,127,153,156,150,141,134,125,110,85,94,154,181,182,181,180,188,191,194,195,198,200,198,186,175,154,129,104,99,127,161,167,160,146,132,118,98,84,134,180,184,183,181,180,189,192,194,196,198,200,199,186,169,154,136,112,108,131,158,160,152,138,122,105,86,109,170,186,186,184,182,180,190,193,195,196,199,200,200,189,168,156,143,121,112,130,148,150,143,126,107,89,91,151,185,188,187,185,183,181,191,193,195,197,199,201,201,197,178,160,145,125,108,118,135,137,130,111,91,85,130,181,189,188,186,185,183,182,191,193,195,197,200,201,201,201,190,168,146,123,104,108,121,121,111,91,81,121,176,191,190,188,187,185,183,182,190,193,195,198,201,202,202,202,194,169,144,122,109,109,116,112,95,76,102,172,193,193,191,189,187,186,184,182,190,193,196,198,200,201,202,201,193,173,150,133,123,119,118,108,85,77,142,192,195,193,191,190,188,186,184,182,189,192,195,197,199,201,202,197,191,179,161,142,127,125,120,103,78,91,169,195,194,193,191,190,188,186,184,181
18,132,133,135,137,139,142,146,148,150,153,156,156,157,160,161,162,164,163,165,165,165,166,166,167,166,166,166,165,133,134,136,138,140,143,146,149,152,154,156,157,158,160,161,162,164,165,166,167,167,168,168,167,167,167,166,166,133,135,137,137,140,145,148,151,154,155,157,159,160,162,162,164,165,165,166,167,168,168,167,170,169,168,167,167,133,136,137,138,141,144,149,153,155,156,158,159,161,162,163,165,166,165,166,168,167,169,168,134,169,168,168,168,134,136,138,140,143,144,149,153,155,156,158,160,162,164,165,166,166,166,168,169,166,182,171,101,122,180,172,168,136,138,139,140,143,147,150,153,156,158,160,162,163,165,166,166,166,167,169,175,159,176,175,123,96,130,159,174,136,138,139,141,145,148,151,154,157,159,161,162,163,166,169,166,171,152,129,151,156,152,186,158,129,97,93,130,137,139,140,142,145,149,152,155,157,158,161,162,164,165,152,170,181,145,133,93,138,153,185,169,136,128,125,95,137,139,140,142,145,149,152,155,159,161,162,159,171,172,135,111,167,156,142,99,118,152,161,165,152,138,126,110,138,139,141,143,146,149,153,156,159,162,161,165,185,174,157,101,142,172,137,108,88,145,122,119,151,148,126,115,138,140,142,145,147,150,154,158,161,162,160,187,197,178,161,120,115,173,139,113,74,115,108,77,173,168,138,120,139,142,142,145,149,152,155,158,162,163,166,187,195,185,160,128,95,162,134,104,66,74,90,77,164,179,147,119,139,142,143,145,149,152,156,159,163,159,176,199,185,169,162,125,84,126,112,91,70,55,64,55,157,175,154,120,139,142,143,146,150,153,156,160,163,163,194,192,178,148,130,102,80,103,97,89,55,51,107,99,170,180,146,119,141,143,144,146,150,153,157,161,159,177,201,170,162,144,91,84,80,99,107,81,78,157,177,146,144,163,131,113,142,144,144,147,151,156,158,162,160,174,211,190,155,123,100,102,77,123,133,121,178,183,168,152,113,142,120,110,143,144,145,147,152,156,159,163,163,172,210,195,168,124,117,116,78,129,156,185,188,167,147,153,117,119,124,107,142,145,146,149,152,157,161,164,162,180,211,196,176,152,137,138,115,126,197,191,171,154,140,146,140,107,121,97,143,145,146,149,153,157,161,165,162,186,210,192,161,152,132,121,139,197,195,176,162,153,149,146,144,112,104,89,144,145,146,149,154,157,161,165,162,190,209,184,163,153,133,131,172,202,188,169,163,161,141,142,137,108,88,73,145,147,147,150,155,159,162,164,163,192,204,184,163,166,137,164,177,188,180,161,164,149,127,141,127,99,81,56,145,147,148,151,155,159,162,166,164,193,200,187,179,169,142,155,172,169,169,153,152,136,130,139,110,90,63,100,146,147,148,151,155,159,163,166,166,189,197,184,184,160,139,133,159,156,157,150,144,131,130,112,92,74,71,175,145,147,148,152,156,161,164,167,166,189,198,189,182,151,119,140,148,155,157,148,141,126,111,86,79,56,144,192,145,147,148,153,156,160,163,168,168,185,193,189,162,129,122,147,146,157,157,148,130,118,97,86,62,100,193,182,147,147,148,152,156,161,163,167,168,187,183,174,161,154,152,149,146,161,153,137,115,106,93,72,64,174,188,183,147,147,149,152,157,164,169,166,171,199,194,189,186,176,163,147,139,157,146,127,107,95,82,62,154,193,184,186,147,148,151,154,161,146,135,162,178,201,194,194,184,172,153,147,137,149,139,120,103,90,64,124,199,184,187,187
15,86,87,87,88,90,92,93,95,98,102,109,119,129,137,143,148,151,153,155,158,162,165,168,170,173,174,176,177,88,87,87,88,90,92,93,95,98,102,110,120,129,137,143,148,151,153,156,159,162,166,169,171,173,175,177,179,89,88,87,88,90,92,93,95,98,102,111,121,129,138,143,148,152,155,158,160,163,166,170,172,173,176,178,180,89,88,87,88,89,92,95,97,99,103,112,121,130,138,144,149,153,156,158,161,164,167,171,173,175,178,180,182,89,88,88,88,88,98,124,118,106,105,113,122,131,138,145,150,153,155,158,161,165,168,171,174,176,179,181,183,89,87,87,88,88,112,163,159,138,125,121,125,131,137,145,151,154,155,158,161,165,169,172,175,177,179,180,182,89,88,88,88,88,105,150,161,152,149,144,141,137,136,139,144,148,152,155,160,165,169,172,175,178,179,181,183,88,88,88,89,89,93,112,129,127,136,144,148,149,147,140,139,139,142,145,148,151,157,163,172,178,180,182,184,88,88,88,89,89,91,94,101,105,115,124,128,140,149,146,142,140,144,149,146,135,129,127,145,173,181,184,186,88,88,88,88,89,91,93,96,98,106,113,115,124,136,137,133,130,142,158,160,146,130,114,108,145,178,184,186,88,88,87,88,89,91,93,96,97,105,115,122,129,133,133,131,126,144,160,163,154,144,131,110,114,155,181,186,89,88,87,88,89,91,93,95,98,105,115,125,134,140,143,143,146,163,164,160,162,157,148,130,111,117,159,183,89,88,88,88,89,91,93,95,98,105,117,129,136,141,147,154,168,175,156,148,165,159,159,150,125,101,117,161,88,88,88,88,89,91,93,95,98,107,135,145,145,145,143,151,166,152,132,129,161,152,165,163,134,106,93,114,87,87,87,88,89,90,92,94,97,110,150,158,161,165,153,137,136,122,101,109,149,143,165,165,138,112,92,86,87,87,87,87,88,90,91,94,97,108,134,146,164,177,162,136,132,127,110,114,137,142,157,157,136,114,95,85,87,86,86,86,86,89,91,93,96,105,119,132,152,164,149,138,144,142,136,137,138,133,127,131,125,109,94,87,85,85,85,85,85,87,88,91,95,104,115,126,137,143,132,133,144,146,147,152,148,127,103,103,107,100,94,90,84,82,83,84,85,86,87,89,93,103,115,124,133,155,144,121,121,134,147,153,148,122,97,93,95,94,95,95,84,82,82,83,84,85,87,89,94,103,115,125,134,170,165,116,81,89,121,140,139,116,97,94,94,94,96,97,84,82,81,82,83,84,87,88,94,104,115,125,134,166,163,111,73,66,82,115,122,105,95,95,97,96,98,98,83,81,80,81,83,84,86,87,93,103,114,124,133,163,159,105,89,84,75,98,114,105,99,101,102,101,98,96,81,80,79,79,81,83,85,86,91,101,113,123,132,160,156,101,113,112,95,104,117,121,113,109,104,101,97,94,79,78,77,77,79,81,83,84,89,99,110,121,130,160,156,96,121,141,108,118,126,119,107,101,96,94,94,93,85,83,81,81,82,83,84,85,89,99,111,120,129,158,146,93,121,156,116,117,143,116,106,97,84,83,84,84,117,115,112,110,108,108,107,108,111,115,121,125,130,141,118,97,130,147,116,122,151,139,138,119,83,72,72,73,112,111,110,108,107,108,109,111,111,111,110,108,108,110,98,98,115,117,108,114,123,123,122,115,92,78,77,81,102,102,101,100,99,100,101,101,101,101,100,96,96,98,99,101,102,101,102,103,103,102,102,102,99,94,96,96
19,143,145,148,150,151,154,155,156,157,158,158,158,159,160,161,161,161,162,162,162,162,161,162,162,161,160,161,159,145,147,151,154,155,157,159,160,160,161,160,161,162,164,165,165,164,164,164,165,165,164,165,165,164,164,164,162,149,151,155,158,160,161,162,164,164,165,165,165,165,164,167,168,167,168,168,168,168,167,167,167,167,167,166,165,153,155,159,162,163,164,165,166,167,168,168,171,164,134,143,172,170,171,172,172,172,171,171,171,170,170,169,167,156,158,162,164,166,167,167,169,170,171,171,180,169,129,104,169,175,175,175,174,174,173,174,175,174,174,173,172,158,161,164,167,169,171,171,172,173,173,174,185,175,135,89,158,180,179,180,178,177,177,177,177,177,177,176,175,162,165,167,170,172,173,175,176,177,178,178,185,175,136,93,144,160,159,173,175,176,179,181,181,181,180,179,178,165,168,170,172,174,175,177,179,182,183,182,183,170,155,157,164,147,122,141,145,142,149,155,172,172,179,181,180,167,170,173,175,177,179,180,181,178,175,175,174,174,173,167,157,141,114,123,142,142,139,131,147,140,167,185,183,170,173,175,178,180,181,182,176,154,152,157,160,161,157,154,155,145,111,98,118,124,120,115,120,143,179,186,185,172,175,177,180,182,184,186,167,146,142,141,146,151,155,153,153,143,105,150,175,172,167,168,175,186,189,188,187,173,177,179,182,184,186,189,167,160,145,132,134,139,144,141,137,132,108,160,196,194,195,195,194,193,193,190,189,176,179,181,184,187,187,187,187,181,149,125,128,133,142,147,141,131,111,131,197,195,195,195,196,195,194,193,192,178,181,183,186,188,189,186,190,191,167,140,118,117,128,132,124,115,98,133,199,196,197,197,197,196,195,195,194,179,182,185,188,189,191,187,183,190,190,154,125,121,127,128,115,103,90,158,203,201,200,200,199,199,197,196,195,180,183,187,190,192,192,187,190,190,179,145,131,127,123,114,98,89,88,176,203,204,202,200,201,200,199,198,199,183,185,189,192,193,192,189,195,191,171,145,130,131,109,81,62,72,104,195,203,204,204,202,202,202,201,200,200,185,187,191,193,196,194,191,195,187,161,135,136,147,97,58,48,73,143,204,203,204,205,204,203,202,202,200,200,186,189,193,195,198,197,189,192,183,156,133,146,137,84,51,57,114,193,205,204,205,206,206,205,204,203,202,202,188,191,195,197,199,199,187,186,178,150,138,154,127,85,63,63,159,209,206,207,207,206,207,206,205,205,204,203,189,192,195,198,200,200,183,177,171,152,156,159,121,83,72,77,182,210,208,209,208,208,208,208,207,207,206,206,190,193,196,198,200,201,181,174,172,163,164,151,110,80,73,104,204,208,210,210,210,209,209,209,208,208,207,207,191,194,196,199,201,201,176,175,173,164,157,133,99,78,77,149,213,209,210,210,211,211,210,210,209,209,209,208,193,195,198,201,202,200,174,177,168,151,139,113,91,79,98,194,212,211,211,212,213,212,212,212,212,211,211,210,194,196,198,201,204,200,175,179,166,144,123,95,86,81,144,214,213,213,213,213,214,214,213,213,213,213,213,211,195,198,199,202,206,199,178,191,172,142,112,86,79,76,170,216,214,214,214,215,215,214,214,213,213,214,214,212,195,198,200,202,206,193,182,190,162,131,103,84,73,96,202,215,214,214,215,216,216,215,215,214,214,214,214,213,193,195,200,203,206,185,184,178,140,117,99,86,68,131,217,214,214,214,215,215,215,215,215,214,214,215,215,214
15,104,117,125,127,132,140,148,155,160,165,170,173,178,181,185,189,191,195,197,199,200,202,202,203,204,205,205,205,106,119,127,130,134,143,152,158,163,168,171,175,179,183,187,191,194,197,199,201,203,203,203,205,205,206,206,206,107,120,129,131,135,145,152,160,165,170,172,176,181,185,188,192,196,199,201,203,204,205,206,206,206,209,207,207,108,121,130,132,137,146,154,160,165,170,174,179,183,185,189,194,197,200,202,204,204,206,207,208,209,211,210,210,109,122,131,133,139,148,156,163,168,174,176,180,184,187,191,195,198,201,204,205,206,208,209,210,211,211,212,212,112,125,132,135,141,149,156,164,170,175,177,181,184,189,194,197,200,203,204,204,206,208,210,211,213,212,212,213,114,127,134,135,143,152,159,165,172,177,180,186,193,198,200,203,206,208,211,213,217,217,211,211,211,211,212,214,116,129,135,136,143,154,161,167,171,174,172,162,154,160,168,175,181,180,171,162,164,187,209,219,221,220,219,215,116,128,135,140,146,152,152,148,148,151,143,132,127,124,127,128,138,148,138,133,115,102,115,134,161,185,208,219,118,130,141,151,147,153,145,125,124,118,104,117,138,138,132,118,137,163,154,153,137,118,108,91,77,79,95,125,121,132,140,120,99,96,77,55,62,61,56,63,79,78,71,72,120,135,135,133,121,120,128,116,98,84,75,80,122,134,138,137,128,109,103,118,139,156,166,160,151,139,124,96,113,114,121,99,102,113,143,125,108,91,84,94,123,133,137,143,155,164,172,179,182,185,190,195,199,210,194,147,134,112,99,79,101,129,156,135,122,105,97,108,123,132,137,142,150,159,165,171,176,180,185,189,194,190,158,167,128,59,71,35,115,172,162,138,136,122,112,113,123,133,136,141,150,159,165,171,176,180,184,189,194,177,160,136,119,28,33,15,139,187,166,135,136,125,114,106,125,133,136,141,150,159,167,172,176,181,186,191,184,175,173,117,58,22,35,4,133,192,161,131,116,107,100,87,126,134,137,143,152,160,168,172,176,180,185,191,189,155,176,149,54,25,33,13,138,175,155,122,92,84,71,67,126,135,139,143,153,161,167,172,177,182,186,190,199,183,168,172,112,48,90,148,154,149,150,106,77,68,58,66,125,135,138,144,152,161,167,172,179,182,187,192,194,204,182,171,153,142,149,139,130,118,90,58,51,43,49,55,126,133,136,144,153,161,168,171,177,183,187,190,195,203,184,155,161,140,94,99,83,60,64,121,113,114,137,164,126,134,137,145,156,162,170,177,183,189,193,196,200,176,134,120,128,109,73,60,43,27,33,184,239,228,232,230,94,100,104,109,114,118,127,131,135,142,149,151,173,159,122,97,74,72,51,31,32,25,30,92,230,214,221,223,79,80,80,83,86,84,82,82,84,84,87,83,116,138,82,54,43,65,79,57,54,84,72,87,123,124,129,135,87,89,91,93,94,96,95,95,98,101,102,100,104,98,67,75,91,101,103,102,100,102,103,99,96,96,95,95,86,87,89,91,93,92,94,95,95,98,98,100,100,96,104,112,108,103,101,102,103,103,101,103,105,105,106,106,87,90,91,92,93,93,94,95,95,96,96,97,100,99,101,104,105,108,103,102,101,101,104,105,105,105,107,108,88,89,93,94,95,96,96,97,97,98,97,99,101,101,100,99,100,104,103,101,101,102,104,105,105,106,107,108,87,88,92,93,95,96,96,97,98,99,99,100,100,101,102,101,100,102,102,103,103,102,103,105,104,104,107,106
18,30,34,37,42,48,56,60,68,76,85,93,98,104,107,110,112,116,121,122,126,129,133,136,137,140,142,142,145,29,34,38,44,50,57,60,68,77,86,94,100,106,108,110,113,118,123,124,128,130,132,135,137,140,141,144,146,31,34,40,43,49,57,61,68,78,87,94,102,107,109,111,113,120,124,125,129,133,135,137,139,140,143,146,148,32,36,41,44,49,58,62,70,81,88,96,103,109,111,112,115,118,123,129,132,134,138,141,141,140,143,147,149,32,35,40,46,52,59,63,71,81,91,99,104,109,111,116,115,128,124,109,127,139,133,131,147,147,146,148,150,32,36,40,45,54,60,64,72,81,92,102,102,112,120,105,120,172,112,73,63,142,147,96,83,148,150,150,151,33,37,41,44,53,59,65,76,84,95,101,97,176,132,71,128,158,116,109,114,173,145,94,48,66,153,150,152,34,37,42,44,54,61,65,77,80,98,92,141,206,132,85,148,152,122,136,145,144,109,101,89,31,109,163,152,35,39,42,45,55,63,69,70,102,161,94,104,185,132,120,114,128,113,121,125,101,89,112,102,66,60,166,155,36,40,43,48,56,61,70,61,182,183,124,73,139,162,123,82,82,104,77,86,56,112,121,109,97,42,112,173,37,40,43,47,57,63,60,87,208,181,153,113,86,174,127,84,59,142,76,25,46,151,127,129,117,76,43,143,37,40,43,47,56,65,52,124,167,169,174,140,60,115,142,91,37,125,120,56,0,109,133,148,133,92,55,53,38,41,43,51,57,67,53,140,122,115,158,110,54,52,112,71,29,61,83,32,16,110,158,169,138,98,71,43,39,40,43,51,57,66,52,165,159,108,126,54,40,18,53,46,10,15,12,62,168,174,149,149,127,97,77,59,38,41,43,49,58,62,56,182,164,127,131,45,33,3,39,44,0,0,76,189,182,159,150,123,101,83,73,49,37,41,44,49,59,59,81,200,159,119,105,57,27,0,35,32,0,56,193,197,184,160,133,107,75,65,57,57,38,40,43,49,58,59,75,222,184,150,132,97,57,40,41,36,71,178,202,197,182,143,120,92,64,56,41,102,39,41,44,51,58,60,71,219,198,170,151,118,94,100,89,98,169,200,199,190,161,127,104,81,59,48,45,150,37,41,45,52,58,63,69,218,208,180,151,123,109,116,113,145,190,192,189,169,139,114,90,70,58,37,77,176,38,42,44,51,59,66,66,211,207,180,154,135,131,125,132,166,185,190,171,144,128,102,79,69,60,31,125,176,39,42,45,52,59,67,63,187,209,185,164,152,145,141,151,168,172,175,146,120,110,88,70,61,49,53,168,170,39,42,45,54,61,69,63,153,212,190,186,168,149,141,147,152,151,147,127,106,92,75,61,58,36,112,178,166,40,42,47,56,62,68,68,115,208,197,203,181,156,136,122,123,126,121,116,92,75,65,58,45,49,164,169,169,39,42,48,56,60,67,79,81,189,198,189,180,157,129,112,105,112,109,107,86,65,61,59,27,102,176,167,171,39,41,47,55,61,66,83,79,140,195,160,157,146,124,106,102,106,111,109,90,69,63,49,31,151,171,169,174,39,42,47,55,62,65,78,88,100,179,160,137,122,102,102,110,91,99,105,88,67,60,35,59,172,165,169,173,38,42,48,56,60,67,81,95,91,152,143,117,122,108,124,129,92,87,103,88,65,59,26,84,179,165,169,173,36,40,47,54,58,68,79,93,93,131,154,129,138,123,119,123,98,76,94,88,65,53,22,72,179,168,171,173
14,167,167,167,167,167,168,168,168,168,168,169,168,168,168,169,168,169,169,168,168,169,168,167,168,167,167,168,141,169,169,169,169,170,169,170,171,172,171,172,171,170,170,171,170,171,171,170,170,170,169,169,169,168,167,171,128,171,171,171,170,172,172,172,173,171,172,171,171,172,172,171,174,175,172,173,172,172,171,170,170,170,170,171,151,173,172,173,174,174,174,173,173,176,179,172,164,174,173,163,161,171,175,176,174,174,174,173,173,172,172,172,165,175,176,176,177,176,176,174,182,193,168,164,162,165,155,134,146,158,163,166,178,176,177,177,176,174,174,174,171,178,178,177,179,178,182,192,189,175,124,106,125,133,132,102,99,146,133,116,180,178,179,178,177,176,176,176,174,179,179,179,181,175,194,200,143,118,99,72,82,97,102,87,83,107,109,86,164,187,180,176,179,178,177,177,177,181,180,180,183,176,200,195,135,85,77,73,69,74,80,82,77,85,92,102,113,163,161,140,150,181,177,178,178,183,182,183,184,177,205,191,147,100,80,78,74,73,72,80,77,78,105,140,113,97,157,137,138,186,180,181,179,185,184,185,184,178,206,181,129,85,73,77,84,82,73,80,83,79,90,105,85,136,173,115,157,189,181,183,182,185,184,185,184,187,206,178,144,110,82,73,82,75,85,78,97,137,164,147,123,173,163,107,166,189,183,183,183,186,186,188,185,193,209,183,156,128,102,90,75,78,103,85,134,200,189,195,178,176,162,106,161,191,184,185,185,189,189,190,185,199,214,190,159,119,100,93,89,88,92,87,165,193,187,188,167,174,155,106,152,194,185,186,185,189,189,191,186,201,218,195,160,114,94,89,87,100,89,105,194,189,191,182,171,175,151,106,134,198,186,186,186,189,190,191,188,202,218,197,170,132,99,83,84,98,87,130,202,188,192,175,184,178,145,96,156,196,188,189,188,190,191,193,188,201,220,199,172,142,108,84,82,93,78,144,194,194,185,166,186,179,127,115,195,191,191,190,189,192,193,195,186,196,219,200,178,149,112,90,86,83,82,114,131,163,161,168,178,164,109,162,200,190,193,190,190,194,194,195,187,196,218,201,179,156,124,97,74,85,95,108,129,143,150,164,167,137,117,193,194,194,195,193,192,194,194,196,188,197,218,205,182,159,133,108,76,89,100,123,144,153,150,146,146,112,152,202,195,196,196,194,193,195,194,197,187,195,217,206,186,163,137,114,85,88,110,138,154,157,141,131,118,103,188,198,196,196,196,195,195,196,194,197,187,190,216,205,189,166,141,116,97,88,109,140,155,155,139,117,102,124,204,194,196,196,197,197,197,196,195,198,190,188,213,204,191,168,146,119,105,90,102,137,154,150,128,109,103,179,201,197,198,196,197,197,196,198,198,198,189,191,210,204,192,172,151,125,112,99,99,143,152,142,121,95,142,209,197,199,198,198,197,197,196,199,199,200,187,194,214,203,190,176,157,125,116,110,96,140,140,129,114,92,178,206,199,200,199,198,198,199,198,199,199,203,188,199,217,202,191,181,160,128,117,113,98,124,129,124,104,110,204,202,201,200,200,199,199,199,198,200,200,202,189,209,214,204,200,182,161,129,116,110,101,113,119,117,91,158,211,202,202,201,200,200,199,199,199,200,200,198,188,215,215,206,195,175,149,124,112,107,103,108,110,101,121,204,205,203,203,202,201,200,200,200,199,201,202,192,189,212,212,203,184,159,136,117,107,102,106,107,108,102,184,210,203,204,204,203,201,201,201,201,200
12,176,180,183,187,189,192,194,197,199,201,201,201,202,204,203,201,201,204,206,200,201,200,199,200,199,199,197,195,177,181,184,187,189,194,196,199,200,201,202,203,203,195,194,208,204,178,179,207,202,203,203,200,201,200,199,198,178,181,185,189,191,194,197,200,200,203,205,202,215,200,167,178,217,196,147,168,193,165,186,206,202,202,201,200,180,183,186,190,193,196,199,200,202,205,204,205,234,232,206,156,164,228,194,128,140,169,133,196,206,203,203,200,181,185,188,191,194,198,200,201,203,205,201,225,218,221,220,172,113,186,198,136,97,156,136,137,211,203,203,203,183,186,189,192,196,199,201,204,206,206,202,236,189,206,219,160,110,174,183,133,98,132,140,103,201,207,204,204,185,188,191,194,198,201,203,207,205,208,211,168,145,210,198,146,102,181,175,123,103,141,128,108,206,206,206,204,186,190,193,196,199,203,206,204,215,234,214,148,109,156,189,165,92,167,205,142,105,166,134,124,215,204,205,205,189,192,195,198,201,204,204,220,234,226,217,166,110,114,200,161,81,173,216,134,113,202,135,155,218,206,207,206,190,193,197,200,205,204,218,235,195,197,226,172,110,75,157,146,58,111,201,122,103,179,136,198,214,210,209,208,192,196,200,203,207,206,231,227,196,176,209,163,114,72,86,89,85,114,127,142,147,155,108,183,219,209,210,210,194,198,201,205,206,215,222,195,170,137,191,163,117,77,85,90,172,218,180,177,158,147,126,134,221,211,211,210,195,200,203,207,209,211,229,202,178,125,167,164,115,82,96,142,198,210,199,175,147,120,136,115,205,216,212,212,198,202,205,209,209,214,231,207,182,141,143,166,139,89,122,187,208,203,196,177,146,120,116,115,213,216,213,213,200,204,207,211,211,223,235,214,192,164,126,157,156,101,186,216,212,206,202,162,139,120,89,153,227,213,212,211,204,207,210,214,213,230,237,221,200,171,143,135,133,161,220,218,219,216,190,145,133,109,96,208,219,219,223,222,205,209,212,215,215,233,234,225,207,178,167,151,148,193,207,214,223,211,171,137,129,88,145,240,222,206,176,145,208,211,214,216,217,228,230,230,211,187,181,163,157,188,193,217,221,197,155,131,119,89,181,168,124,91,74,71,211,215,216,218,220,220,233,230,214,196,191,173,160,195,189,220,214,176,142,122,109,87,85,68,64,66,68,66,213,217,219,221,225,218,230,225,213,200,197,180,164,194,205,200,192,157,129,115,99,68,65,65,67,64,68,60,216,219,222,224,228,221,224,226,213,201,192,182,172,183,203,183,165,142,121,112,76,52,70,67,55,58,70,65,216,220,223,225,228,220,219,230,214,200,189,177,165,170,189,173,152,133,115,102,66,44,60,74,58,50,62,70,217,220,223,225,231,219,222,228,207,192,186,175,159,169,181,164,135,125,110,82,77,47,46,66,71,52,52,66,219,222,226,228,232,220,225,223,191,180,182,169,156,171,169,152,121,114,72,59,78,63,35,52,68,63,47,54,221,224,227,230,234,218,225,230,190,188,190,177,167,173,157,138,117,94,54,47,68,74,38,39,58,68,56,45,222,225,228,229,238,201,221,232,198,205,203,182,165,169,148,132,111,74,64,43,55,72,52,32,46,65,65,48,227,230,233,232,248,149,200,238,215,226,207,175,167,167,143,127,101,65,62,48,41,64,62,32,37,57,66,57,199,203,208,212,224,116,135,231,215,221,193,164,171,166,138,124,87,71,58,51,35,58,64,38,30,50,64,63
12,176,177,177,177,177,178,178,178,179,179,179,179,179,179,179,178,178,179,179,179,179,179,178,178,176,175,175,174,179,179,179,180,179,179,180,180,181,181,181,182,181,181,181,180,180,180,181,181,180,181,180,179,178,178,177,175,180,180,180,181,181,182,183,182,183,182,184,185,184,183,184,182,181,182,183,183,182,182,181,181,180,178,178,177,182,182,183,184,183,184,185,183,185,185,186,186,185,185,185,185,183,184,184,185,184,183,182,182,181,180,180,179,184,184,185,186,185,185,187,186,186,185,181,182,190,179,179,186,186,187,186,186,186,186,186,185,183,183,183,182,186,187,187,188,187,188,188,188,199,200,171,143,192,181,150,163,188,188,189,187,187,188,188,187,186,185,185,184,188,188,189,189,189,189,191,189,223,222,191,138,158,205,167,130,182,172,170,187,190,189,190,189,188,187,187,186,188,188,190,192,191,191,192,192,223,228,205,156,126,204,183,141,123,152,127,154,193,191,192,189,190,189,189,188,190,192,193,194,193,193,194,193,222,214,214,174,122,172,185,148,98,115,120,101,189,193,192,192,192,191,190,190,192,193,194,194,194,194,198,185,204,191,204,191,150,116,155,127,82,76,100,90,184,194,195,194,194,193,192,191,193,194,195,196,194,206,218,160,138,152,166,164,125,90,106,110,89,142,111,93,190,195,197,196,194,194,194,194,194,195,196,197,213,228,204,148,118,136,117,142,131,113,142,174,170,157,107,103,197,199,199,198,196,195,195,195,195,196,197,206,225,205,199,162,123,89,92,95,133,144,163,204,215,189,128,124,201,200,200,200,198,198,197,196,195,197,198,220,208,184,203,178,133,90,89,91,88,97,134,206,222,215,174,132,169,201,201,200,199,199,198,198,196,197,203,219,200,169,199,180,155,104,86,95,104,120,165,197,202,193,174,156,118,189,201,201,201,200,200,199,197,198,211,227,203,167,155,195,181,129,89,104,129,176,205,200,196,166,152,157,114,175,203,202,202,201,201,200,199,200,208,232,218,188,149,157,178,176,120,116,194,211,203,196,184,156,132,127,104,191,203,203,202,201,201,201,199,200,207,234,227,200,168,160,145,149,141,192,225,216,200,187,170,147,116,100,125,204,206,205,203,202,202,201,200,200,206,229,230,215,186,176,159,139,182,222,224,216,186,170,150,140,105,89,168,206,206,206,204,204,203,203,200,201,203,223,228,226,205,187,170,163,170,218,219,204,174,149,141,133,98,106,201,207,206,206,205,205,204,204,199,200,197,213,231,229,211,193,177,174,168,213,207,184,160,132,143,121,89,148,208,208,206,206,206,206,206,206,198,200,199,193,228,220,202,191,181,177,174,195,190,163,143,136,140,108,90,190,208,208,206,206,206,206,206,206,200,201,202,190,223,207,193,185,183,178,173,180,176,160,138,135,124,94,127,206,208,207,206,206,206,206,205,204,201,201,202,197,221,208,199,197,191,179,169,177,181,159,126,116,103,99,187,208,208,207,207,207,206,206,205,203,202,201,201,197,220,214,207,204,192,185,168,179,179,141,110,102,92,161,207,209,209,208,207,207,207,206,206,205,201,202,202,197,221,219,212,211,196,192,166,173,165,131,103,91,124,205,210,209,209,208,209,209,207,207,207,206,200,201,202,196,215,226,217,216,200,191,162,161,155,130,99,87,183,210,209,209,208,209,209,209,208,207,207,207,198,200,202,197,211,228,213,208,197,187,156,148,154,124,91,105,206,210,210,209,209,210,209,208,208,207,208,208
21,66,101,112,117,124,134,146,153,159,164,167,169,171,173,175,182,182,182,184,184,186,188,189,189,189,190,190,190,71,104,113,118,125,135,147,155,161,164,167,170,172,179,178,157,182,184,186,187,188,189,190,191,191,192,192,191,76,106,114,119,125,137,149,156,162,165,169,173,170,195,184,119,175,189,187,188,189,191,192,193,193,193,193,193,81,109,115,121,126,139,151,157,162,167,170,173,171,196,185,127,170,191,189,190,189,192,193,193,194,194,194,195,87,111,115,122,129,141,152,157,163,167,171,174,171,197,183,128,164,193,188,191,192,194,195,196,195,198,197,197,92,112,115,122,130,143,152,160,165,168,173,176,172,197,188,136,160,196,189,192,194,195,197,196,159,169,203,198,97,113,117,124,131,145,154,161,166,170,174,177,175,195,190,142,152,198,192,194,196,196,199,182,135,155,206,198,102,113,118,125,133,146,155,162,167,172,175,176,176,194,188,146,141,197,193,195,197,201,196,165,133,191,203,200,105,114,120,125,134,148,156,162,168,173,176,177,176,200,198,148,137,197,193,196,197,204,186,144,157,207,201,202,108,114,120,126,136,151,157,164,168,173,176,179,178,205,203,157,143,198,195,197,199,190,167,136,196,205,203,203,111,116,120,127,137,150,158,165,169,173,176,179,176,196,189,153,139,195,194,199,200,184,139,161,211,202,204,204,111,116,122,128,139,151,159,165,169,174,178,204,175,165,165,137,136,196,196,200,200,171,133,197,206,204,205,205,112,116,123,129,140,153,159,165,172,173,183,210,170,137,132,122,138,183,190,194,189,136,164,211,204,206,206,206,113,117,124,129,141,154,160,166,172,174,203,176,155,135,110,118,140,172,181,178,153,131,204,205,205,206,206,206,113,118,124,129,143,155,161,168,168,202,213,192,168,153,117,110,130,153,164,154,122,171,213,204,207,207,207,207,114,118,124,131,145,154,161,167,172,209,203,218,201,170,127,108,126,137,151,136,132,209,207,207,207,207,207,207,114,119,125,132,145,154,162,164,186,190,188,212,202,150,123,115,119,129,136,120,170,214,206,208,208,208,209,208,114,119,126,133,148,155,165,165,200,198,171,148,173,149,128,118,115,121,123,118,196,210,208,209,209,209,209,209,115,120,126,133,147,155,164,167,202,174,146,134,166,164,135,119,117,115,118,120,200,209,209,210,210,211,210,210,116,122,126,134,148,157,163,174,210,179,175,161,161,182,143,129,121,116,113,121,202,211,209,210,211,211,211,211,116,122,127,134,149,157,162,181,210,190,178,154,208,208,155,147,126,113,112,128,207,210,210,210,211,211,211,212,116,122,128,136,150,157,161,184,219,199,168,179,231,197,159,150,127,114,111,137,212,209,211,211,211,211,212,212,116,123,128,137,149,157,161,185,219,183,168,193,213,177,150,143,131,117,107,158,217,208,211,211,211,212,212,213,118,123,127,137,150,158,163,182,205,178,177,188,205,175,158,135,130,118,109,181,214,208,211,212,212,213,213,213,118,122,126,138,151,159,163,177,191,191,188,185,207,172,167,142,119,116,114,196,212,209,212,212,213,213,213,214,117,122,128,140,151,158,166,172,195,210,176,188,202,162,153,136,118,112,124,205,211,211,213,213,213,213,213,214,117,121,126,139,149,156,166,168,193,204,175,172,186,150,136,123,116,105,140,210,207,211,213,212,213,214,214,214,116,121,124,138,148,156,164,169,183,189,174,172,172,149,136,127,118,101,151,212,205,209,210,210,211,212,213,213
15,86,83,81,81,83,85,86,86,89,98,110,122,130,139,145,150,150,155,158,164,168,172,176,179,180,183,186,187,86,82,81,82,82,84,86,87,90,100,111,123,131,140,146,151,151,155,159,165,169,173,177,180,181,184,187,189,86,83,82,81,82,84,87,87,90,100,112,123,131,140,146,151,152,155,160,165,170,174,178,181,183,186,188,190,86,83,81,81,83,84,87,87,91,101,114,123,132,141,147,151,153,156,161,166,170,176,180,182,185,187,189,192,86,83,82,82,82,90,112,99,96,103,114,123,133,141,148,152,153,156,161,166,172,176,180,183,186,187,189,192,86,84,84,82,78,158,157,131,124,120,116,119,131,139,141,143,150,156,162,167,173,176,180,184,186,188,190,194,87,85,84,82,78,152,139,120,118,115,107,119,121,124,122,118,121,128,141,157,170,177,181,184,187,188,191,194,87,84,83,83,81,99,106,93,98,92,88,113,106,107,105,115,125,121,120,124,134,144,158,173,187,190,193,194,88,84,83,82,83,85,86,84,87,84,86,94,91,90,91,117,122,119,119,125,130,124,110,111,140,190,194,195,87,85,83,81,83,85,85,86,92,102,113,115,115,113,103,111,108,106,104,120,138,132,116,112,94,139,194,196,88,86,82,82,82,83,84,85,92,105,116,128,135,143,146,135,109,95,119,140,143,138,119,122,110,87,157,198,87,84,81,81,83,83,84,84,92,105,118,128,139,154,153,135,123,122,173,143,146,130,136,138,123,104,91,174,87,83,82,81,82,82,84,85,92,105,117,133,176,161,131,114,113,105,164,123,117,133,164,133,146,128,92,94,85,83,80,79,80,81,82,83,91,105,115,158,186,133,109,110,113,89,113,96,89,178,144,130,157,142,107,75,85,82,80,79,79,80,81,82,90,105,114,153,168,114,108,127,133,124,104,87,98,161,108,117,158,150,118,84,85,82,80,78,78,79,80,81,92,106,115,141,153,103,116,133,144,133,106,94,102,111,108,126,143,137,112,85,83,81,79,78,78,79,80,81,92,105,115,151,185,120,118,136,145,132,99,92,101,105,116,126,118,99,91,79,82,82,79,78,77,79,80,80,91,104,114,154,166,183,147,118,111,97,84,91,99,103,110,118,111,83,75,75,82,81,78,77,76,78,79,80,89,104,111,185,174,168,171,135,96,62,62,85,100,108,117,126,111,81,74,74,81,78,76,76,75,77,78,79,88,103,113,151,162,176,168,151,125,79,34,42,64,111,117,117,98,79,77,78,79,76,74,73,73,74,75,77,86,100,113,124,134,153,148,146,126,112,61,43,56,107,123,110,93,87,88,88,119,115,112,108,105,100,99,100,106,114,120,127,135,138,124,117,128,150,102,52,68,83,123,132,119,109,100,93,121,117,116,115,114,115,119,119,115,114,113,112,116,120,121,120,125,172,122,78,84,76,92,107,107,99,91,84,113,112,112,111,110,111,113,111,111,112,107,104,107,110,112,113,108,128,108,112,112,107,106,97,88,85,81,76,114,116,116,114,114,114,116,116,115,116,115,114,116,117,116,117,118,117,117,118,121,120,126,126,104,86,78,75,116,118,119,118,117,116,117,117,117,118,118,118,118,118,116,118,119,119,119,120,118,117,128,140,129,108,91,95,117,119,119,119,118,117,118,119,119,120,119,120,120,118,117,118,119,119,119,119,118,117,118,126,164,121,121,127,117,118,118,117,117,117,118,118,118,118,118,118,119,118,118,119,121,120,119,119,118,118,118,118,199,187,166,157
10,146,146,147,147,148,148,149,150,149,148,148,149,148,147,146,145,143,143,141,140,140,138,136,136,135,133,132,132,151,151,151,152,152,152,152,153,152,152,151,151,151,150,148,147,146,145,147,138,136,140,138,137,135,135,134,132,156,156,156,158,158,158,158,158,157,157,156,155,155,154,152,150,149,146,166,137,103,143,140,138,137,137,136,135,160,161,160,162,163,162,162,161,161,161,160,160,159,157,155,154,153,150,173,142,90,142,142,141,140,138,137,136,165,165,166,166,166,167,166,165,165,166,165,164,163,162,159,158,157,155,176,141,88,141,148,144,143,141,139,138,170,170,170,170,171,171,169,170,170,171,170,169,167,166,164,162,161,160,177,132,83,143,152,148,146,144,143,141,174,175,174,174,176,175,174,174,175,175,174,172,171,170,168,166,166,164,183,146,90,145,156,152,150,148,146,143,178,179,179,179,179,180,179,179,179,180,179,177,175,174,172,171,169,170,189,142,120,148,159,156,153,151,148,146,181,181,182,183,183,183,183,182,183,184,182,181,180,178,176,175,172,180,186,163,143,114,165,159,156,154,152,150,184,184,185,186,186,186,186,185,186,187,186,184,184,182,180,179,174,161,167,178,135,85,166,163,159,157,155,153,187,187,188,189,188,188,188,188,188,189,188,187,186,186,184,184,182,160,138,147,143,75,125,173,164,161,158,156,190,190,190,191,191,191,191,190,192,192,191,190,189,188,183,179,192,190,157,121,107,98,71,153,170,165,161,160,193,192,193,194,195,195,194,195,195,195,195,194,194,191,165,133,128,163,172,167,122,87,73,108,176,167,165,165,195,195,196,197,197,197,197,197,197,197,197,178,155,179,183,150,93,57,155,172,109,67,63,107,179,171,168,166,198,198,199,199,200,199,199,199,199,198,196,178,143,127,194,175,126,44,53,92,102,78,60,119,182,174,172,169,200,200,200,201,202,201,201,201,201,199,193,193,177,136,157,194,144,82,41,51,150,118,65,127,184,177,173,170,201,202,202,202,202,202,202,203,202,199,171,161,184,153,111,176,152,100,51,77,154,147,75,125,187,179,176,173,203,204,204,203,204,204,205,205,203,201,179,127,143,142,72,122,158,98,60,91,143,146,74,118,188,180,178,175,205,205,206,206,207,207,207,207,206,194,168,128,105,126,81,85,162,137,82,99,140,113,64,131,189,181,179,176,207,207,207,208,208,208,208,209,205,197,193,166,112,117,112,86,151,169,108,89,123,85,63,165,188,183,181,178,208,208,208,208,209,209,209,209,207,200,206,179,138,116,113,103,157,157,98,79,108,76,81,189,187,184,183,181,209,209,209,209,210,210,210,210,211,198,206,193,159,128,124,144,199,183,128,103,100,69,115,197,189,186,184,182,211,211,211,211,212,212,213,214,214,199,195,193,170,142,136,154,199,195,164,126,97,62,149,198,190,188,185,183,211,211,212,212,212,214,215,215,215,203,186,190,178,164,149,155,192,187,150,113,88,68,181,196,191,189,187,184,210,210,210,211,212,213,214,214,215,211,185,183,185,180,155,144,180,165,135,100,69,98,200,195,193,190,188,186,210,211,211,212,212,214,215,215,215,216,194,171,180,172,153,130,154,145,116,87,53,149,200,193,192,189,187,185,211,212,213,214,214,215,216,216,216,216,211,180,175,165,149,130,135,144,113,74,81,194,196,193,191,189,187,187,212,213,214,215,215,215,216,216,217,216,212,193,176,159,149,139,130,140,107,62,141,205,197,194,192,189,189,152
2,171,172,173,173,173,174,175,174,173,173,173,173,172,173,172,171,170,169,168,166,166,165,163,162,159,158,157,156,172,173,174,175,175,176,176,176,177,176,175,174,174,175,175,174,173,174,172,169,166,166,163,161,160,158,157,156,173,175,176,177,178,178,178,178,178,177,177,177,173,162,163,164,158,152,147,152,169,166,164,163,163,161,159,158,177,177,178,179,179,179,180,180,180,179,180,175,156,144,146,147,143,122,103,93,135,169,170,165,164,163,161,160,178,179,179,180,180,180,181,181,181,181,179,165,152,149,140,134,142,111,90,108,118,121,143,167,166,164,163,161,179,180,181,181,182,183,183,182,183,183,181,172,161,143,124,109,98,70,64,87,98,77,72,153,170,166,163,161,180,181,183,183,184,184,185,185,185,178,168,164,148,108,78,66,79,95,142,136,106,79,107,166,169,167,165,163,181,182,184,185,185,186,186,188,187,175,161,143,109,65,47,57,167,183,181,181,176,169,174,171,169,168,166,164,182,183,185,186,186,189,188,189,187,174,150,102,64,50,48,95,187,182,180,180,178,176,175,173,171,170,168,166,184,186,186,187,188,189,189,190,186,175,141,73,47,43,52,155,187,183,181,180,179,177,176,175,173,171,169,166,185,186,187,188,189,189,191,190,186,173,134,71,47,43,81,189,186,185,183,181,180,179,177,166,160,171,170,167,186,187,189,190,191,191,193,187,182,168,119,59,57,54,90,191,186,186,184,182,181,180,140,106,96,140,174,169,187,188,188,190,193,192,193,187,183,162,108,69,66,55,103,194,187,188,185,184,183,144,109,103,88,126,176,170,188,189,190,191,193,194,193,185,183,162,114,84,64,50,124,197,188,188,187,187,154,108,111,100,86,159,174,171,188,190,192,193,194,194,192,184,182,160,114,87,63,53,90,192,192,188,192,164,98,94,100,83,122,179,173,172,189,192,193,193,195,196,192,184,178,154,119,89,61,59,59,99,161,195,168,115,88,85,85,81,172,178,174,173,190,192,193,194,194,196,191,184,178,153,116,82,62,60,65,67,82,129,98,91,99,83,70,143,183,178,177,173,190,193,194,195,195,196,188,184,188,154,113,88,62,61,66,72,79,76,75,86,85,80,151,185,180,180,177,174,190,193,194,196,196,198,184,191,187,147,109,87,64,62,68,72,80,84,75,80,78,158,188,183,181,180,178,174,191,192,194,197,198,197,183,194,179,139,106,89,66,62,70,73,80,84,75,62,146,192,184,182,181,180,178,175,192,194,195,197,200,195,184,191,170,132,108,91,66,62,73,79,81,79,66,124,190,187,184,182,181,180,179,176,193,194,196,198,199,193,185,186,158,130,111,88,66,62,77,81,81,66,89,193,190,187,185,184,183,180,179,178,194,195,197,199,200,191,181,172,149,124,105,84,64,63,78,75,71,58,162,196,190,188,187,186,183,182,180,178,194,195,197,198,199,190,178,166,145,120,102,82,63,64,74,70,54,130,199,193,190,190,187,186,185,182,179,179,194,195,197,199,198,189,170,158,136,113,96,79,64,63,63,55,120,199,195,193,192,191,188,186,185,183,180,179,194,196,197,198,196,188,166,156,134,111,91,75,61,54,66,141,199,197,195,193,192,191,189,186,184,183,181,179,194,196,198,197,195,183,163,150,134,109,85,66,49,102,187,205,199,197,195,194,192,190,189,187,185,184,182,180,194,196,198,196,187,162,149,147,129,100,72,56,65,189,205,200,199,197,196,195,194,192,191,188,185,184,182,179
24,183,186,188,192,194,195,197,199,201,201,201,202,202,203,203,203,203,203,205,204,204,204,204,204,203,202,201,200,185,188,192,195,196,198,201,202,202,203,204,204,205,205,205,206,207,207,207,207,207,207,207,207,205,204,203,203,186,190,193,196,199,202,203,204,205,206,206,206,208,208,208,208,208,208,207,207,208,208,209,209,208,207,206,205,188,191,196,199,202,204,205,206,208,208,208,208,209,209,211,211,211,211,210,210,210,211,212,211,209,209,209,207,192,197,197,202,205,206,207,208,209,209,211,212,212,213,213,212,213,214,214,214,213,213,214,213,211,211,210,208,175,165,205,203,206,208,209,211,210,212,213,213,214,213,214,214,215,216,215,216,216,215,215,214,214,212,212,212,166,118,205,206,208,209,211,214,213,213,215,217,217,216,217,216,218,219,217,218,218,218,217,219,219,218,219,214,165,110,198,208,210,212,213,216,219,221,218,211,207,223,218,219,220,219,219,220,219,220,220,215,202,174,176,222,153,97,200,212,212,214,219,214,192,190,219,189,154,168,225,220,219,220,221,221,221,221,214,185,163,111,159,226,144,95,199,214,208,175,179,220,178,141,192,199,174,134,193,228,220,221,222,222,223,221,213,181,118,142,226,220,159,103,188,219,222,188,163,212,194,173,171,211,195,161,154,231,222,224,223,224,222,219,207,151,118,224,223,220,169,121,177,219,229,225,189,177,218,196,157,186,211,170,132,217,226,224,226,226,221,216,187,107,162,234,222,223,191,175,187,212,211,232,216,158,185,216,172,147,206,159,107,210,235,227,223,214,214,198,130,115,224,227,224,223,209,206,196,210,197,187,223,149,121,219,191,122,140,130,89,186,210,205,196,185,188,144,103,210,235,227,226,226,203,214,209,206,204,188,185,144,98,165,164,106,69,106,132,176,200,203,185,160,142,100,182,240,227,228,228,227,206,220,209,207,204,184,172,152,122,101,118,86,72,144,207,219,214,199,169,141,111,142,241,229,230,229,230,229,209,218,209,177,186,181,167,159,141,125,128,126,176,207,218,215,201,183,150,114,103,220,237,231,232,231,231,230,211,215,217,195,167,170,195,180,173,155,148,197,225,221,215,206,189,164,129,90,172,243,232,234,234,233,232,231,212,213,226,226,195,169,172,189,208,207,209,232,225,219,209,193,170,140,97,145,244,233,235,235,233,233,233,233,211,213,219,230,210,185,168,179,195,223,230,226,226,219,199,173,145,109,112,230,238,235,235,235,235,234,234,233,211,217,214,224,229,201,180,181,200,225,231,233,232,211,178,150,123,92,189,243,233,236,234,234,234,234,233,230,212,217,217,228,240,228,199,195,203,232,242,234,221,188,155,127,98,129,241,235,236,236,235,235,234,233,233,236,212,215,218,219,231,241,217,203,206,228,238,225,197,163,133,110,89,205,243,236,239,238,237,237,234,236,229,224,215,216,221,211,206,227,217,207,207,211,213,207,180,143,113,86,131,244,234,237,238,237,236,237,240,226,219,157,207,212,216,220,203,205,210,205,200,185,181,190,170,131,104,83,195,250,242,243,243,243,241,242,221,212,237,205,134,139,140,146,145,185,210,197,184,167,169,180,159,132,106,93,179,205,206,209,212,220,224,216,221,204,202,149,124,124,123,124,118,148,200,167,162,163,179,190,157,139,122,95,114,124,122,124,125,127,133,204,237,198,193,151,127,130,136,135,133,131,180,162,171,184,188,192,161,135,131,100,122,139,138,138,133,133,171,173,218,228,125,180
15,63,73,85,91,93,96,103,110,115,120,123,127,130,134,137,141,144,147,150,153,155,157,158,159,160,162,163,164,65,74,85,92,93,95,103,111,117,121,124,128,132,135,139,143,144,149,152,153,155,157,160,160,161,163,164,165,67,75,85,91,94,96,104,111,117,122,126,129,132,136,140,143,146,149,152,155,157,159,160,161,164,165,165,167,67,77,87,91,96,100,106,111,118,124,129,131,134,137,141,143,148,151,154,157,159,161,162,165,165,166,167,168,68,78,87,94,94,99,105,111,117,122,127,132,136,140,144,147,150,152,155,157,159,161,164,165,166,168,169,169,68,76,97,126,103,101,109,108,115,124,125,124,122,127,132,142,149,153,157,160,163,164,163,164,167,169,170,171,71,79,101,126,97,91,100,106,122,128,133,137,141,133,123,124,125,133,145,143,146,157,171,167,165,170,170,172,73,81,93,88,64,69,80,88,109,123,129,149,157,141,139,136,143,142,137,145,125,110,125,165,172,167,173,172,72,84,92,95,97,100,96,93,98,107,111,131,156,160,156,154,155,163,154,142,155,133,86,78,154,178,170,172,74,84,91,95,99,107,116,122,126,128,126,121,115,129,153,176,156,128,160,128,138,161,88,76,68,157,178,173,74,84,93,96,98,104,112,119,124,127,137,139,96,78,85,109,143,116,118,113,137,173,74,88,104,74,166,175,74,84,92,95,99,105,112,118,124,122,164,136,89,77,80,96,130,121,79,80,118,141,83,81,132,82,84,184,75,85,92,95,99,106,113,119,124,123,179,139,70,81,102,125,140,120,89,86,85,81,85,98,113,88,38,124,75,86,93,94,99,107,113,120,124,133,171,181,113,99,115,126,130,107,90,91,91,87,87,103,116,87,42,43,75,87,93,95,100,107,114,121,119,159,179,175,178,141,86,70,82,77,71,76,85,95,104,113,119,99,53,37,76,87,94,96,99,108,114,122,124,156,185,170,166,171,139,68,16,29,22,29,51,82,111,110,103,89,55,47,77,87,94,97,100,107,114,122,126,137,176,183,152,147,174,139,21,6,5,10,12,40,95,102,92,79,63,58,75,86,92,95,100,107,114,121,124,131,166,170,164,135,163,106,30,11,7,18,9,35,101,113,110,101,90,74,74,83,89,93,97,103,110,118,120,147,182,164,144,134,132,70,29,13,10,20,17,31,87,112,116,112,103,86,49,52,57,59,62,64,66,70,74,85,156,186,160,117,114,107,35,12,18,19,32,39,57,89,102,105,101,87,49,51,52,51,54,55,55,52,53,51,80,120,131,128,114,105,60,23,21,20,31,44,46,68,86,93,93,83,55,55,56,58,59,60,62,62,61,66,65,64,68,75,69,66,66,31,23,16,24,44,51,57,86,92,87,75,56,56,55,57,58,60,61,61,61,64,66,66,66,65,77,76,86,62,50,46,48,57,56,53,81,89,81,71,57,57,58,58,58,59,60,60,61,63,64,64,65,64,65,91,109,107,115,102,84,104,105,90,90,93,77,66,55,56,58,60,59,59,61,62,61,64,65,64,64,66,67,61,68,108,130,112,132,147,145,141,121,111,92,64,54,56,56,57,58,60,62,62,63,63,66,67,65,65,67,69,65,71,81,103,143,161,151,144,126,103,86,72,55,55,56,57,57,60,61,61,62,63,65,67,66,66,65,68,68,67,65,72,89,104,128,110,95,83,80,94,54,55,56,57,58,60,61,61,62,63,63,63,64,65,65,66,68,68,70,67,64,65,96,82,91,107,104,87
11,105,111,116,118,122,125,128,131,132,135,137,138,140,142,144,145,146,148,149,150,150,152,152,153,152,151,152,151,106,112,118,120,124,126,129,131,134,136,138,141,142,144,146,147,147,149,150,152,153,154,153,154,153,153,154,153,107,113,119,123,125,128,130,133,135,137,139,142,144,146,147,147,152,152,152,153,154,155,154,155,154,154,154,154,108,114,119,122,126,129,131,134,136,137,141,143,145,146,147,149,134,148,154,154,155,154,155,156,156,156,156,155,109,114,119,123,126,129,131,134,138,140,142,145,146,148,148,157,109,110,161,154,156,156,157,157,158,157,156,156,109,113,119,124,127,130,132,135,138,142,144,146,146,148,147,164,111,98,162,154,157,157,158,158,157,157,157,157,110,115,120,125,129,130,133,135,138,142,145,146,148,149,150,168,93,110,164,155,158,158,159,159,158,158,158,158,111,116,121,125,129,131,133,136,139,142,145,146,148,147,157,166,87,125,164,158,160,160,160,160,159,159,159,158,111,117,123,126,129,132,134,138,139,141,145,146,148,149,168,142,82,140,162,159,160,160,161,160,159,160,159,159,111,117,123,127,130,132,135,138,140,142,146,146,146,148,167,102,84,157,160,158,160,160,160,160,160,160,160,160,111,117,122,127,132,133,135,139,143,143,142,154,164,109,105,87,101,165,157,159,160,160,161,161,160,161,160,159,112,117,122,126,129,133,140,138,129,160,140,110,138,108,76,74,134,164,158,161,161,161,161,161,161,161,161,161,112,118,124,125,137,167,167,146,83,125,138,79,109,105,68,70,156,160,159,161,162,162,162,162,162,161,161,161,113,118,122,131,162,139,153,149,82,114,119,77,133,99,54,89,167,158,160,161,162,162,163,163,164,163,162,160,113,119,120,143,140,115,131,143,80,113,100,85,131,83,47,110,168,158,161,161,161,162,163,163,163,163,162,160,114,120,124,160,131,95,107,130,72,102,83,94,113,71,46,122,167,158,160,161,164,165,165,163,162,163,163,161,115,115,139,166,132,100,107,92,68,97,65,100,100,60,40,126,170,160,162,160,155,151,153,166,167,163,163,163,116,115,161,159,128,105,93,81,83,89,47,122,81,43,51,97,157,154,150,145,138,131,114,116,155,168,163,163,114,119,174,151,127,110,90,71,104,75,32,87,73,80,104,102,127,146,151,145,131,112,104,94,88,160,165,164,114,123,168,151,135,118,96,86,97,102,114,122,134,135,125,131,143,133,116,106,102,119,138,129,110,157,166,164,113,121,161,153,141,126,103,103,127,150,142,139,137,133,118,113,110,90,111,142,160,169,170,168,168,166,165,164,113,121,172,157,141,126,104,110,140,145,130,138,132,120,91,80,98,141,169,168,165,163,164,165,165,166,166,165,112,130,180,143,131,113,103,112,132,131,131,128,113,80,71,121,162,167,163,164,164,165,166,167,166,166,166,166,107,143,159,120,118,110,110,114,114,120,121,99,67,82,143,165,160,161,163,163,164,165,166,166,165,166,167,165,106,149,154,123,118,126,117,117,104,103,92,63,105,157,159,155,159,160,160,160,161,163,164,164,164,162,163,164,109,160,160,124,117,142,121,110,92,83,65,117,159,154,154,155,157,159,159,160,161,161,162,163,164,177,181,183,115,167,162,119,119,144,119,99,81,58,100,156,148,153,154,155,157,158,159,160,161,161,163,162,183,192,192,180,115,168,162,114,120,141,116,99,69,58,139,148,149,152,152,154,156,157,158,160,161,162,162,162,154,128,166,179
3,151,151,153,154,155,155,156,156,155,156,156,155,155,154,152,151,151,150,149,147,145,145,144,142,140,139,138,138,157,157,157,158,160,160,160,159,158,159,158,158,159,156,156,155,155,154,151,150,148,146,144,143,143,141,139,137,161,162,161,162,164,164,164,163,162,164,163,161,161,160,157,165,140,141,157,152,152,149,147,146,145,142,142,140,165,167,167,168,168,168,168,168,167,167,167,166,165,164,161,172,128,103,165,156,155,153,152,150,148,146,144,142,171,171,171,172,172,173,173,172,173,172,171,171,169,168,167,171,135,87,162,161,159,158,157,154,151,150,147,145,175,175,175,176,176,177,175,176,178,176,175,174,173,171,170,173,135,74,160,165,162,160,159,157,154,151,150,148,178,179,180,180,180,180,180,180,180,180,180,178,176,175,175,174,136,73,159,171,166,165,163,161,158,155,153,151,183,182,183,183,184,184,183,183,184,184,184,182,181,180,178,183,148,76,154,176,169,168,166,164,161,159,157,155,186,186,187,187,188,187,187,186,187,187,187,186,184,183,180,187,139,68,158,177,172,172,169,167,164,163,160,158,189,190,190,191,190,191,191,190,190,189,189,189,187,187,184,178,135,81,159,181,174,174,173,170,168,165,163,161,194,194,194,194,194,194,194,194,193,192,192,192,190,189,186,178,140,85,146,188,176,176,175,174,171,168,166,164,195,196,196,196,196,196,195,196,196,196,196,194,192,192,191,194,142,66,135,192,178,179,177,175,173,171,169,166,198,198,199,199,198,198,197,198,199,198,197,200,200,192,174,160,168,112,127,204,182,181,180,178,176,173,171,169,200,200,201,201,201,201,201,201,200,200,201,185,172,190,154,79,146,156,84,148,183,187,181,181,178,175,173,171,201,202,202,202,203,203,203,203,204,201,194,163,100,148,165,97,100,144,79,69,97,178,187,182,181,178,175,173,203,203,201,203,204,204,205,205,206,197,186,164,132,111,170,125,74,129,108,89,68,138,196,183,183,181,178,175,203,204,204,206,206,206,207,208,201,189,138,134,154,110,141,134,68,74,110,96,55,123,199,185,184,182,181,177,206,207,207,207,207,207,208,209,196,183,146,89,129,93,101,141,71,65,107,133,70,102,201,186,186,184,181,179,208,208,209,209,208,209,209,210,199,179,142,83,99,58,92,112,51,76,100,159,102,80,195,188,188,186,182,181,208,209,210,210,210,210,210,211,203,175,160,127,81,66,106,90,56,123,160,157,107,78,198,192,189,186,185,182,210,210,210,211,211,211,212,213,207,177,175,143,98,94,123,107,131,193,165,132,66,137,205,193,191,189,186,185,211,211,212,212,213,214,214,215,211,174,173,152,116,97,128,186,194,181,137,95,74,197,198,195,193,190,187,185,210,212,213,214,215,214,215,215,217,177,156,145,119,103,118,181,171,152,114,64,118,212,195,196,195,192,188,186,210,211,211,212,214,214,214,214,219,193,147,147,129,116,115,164,159,131,87,57,179,205,199,197,195,192,189,185,209,212,211,212,214,215,215,214,215,212,157,144,143,124,101,131,127,98,50,139,210,198,198,195,192,190,193,194,210,212,213,214,215,215,215,215,215,213,179,158,143,111,88,97,92,47,115,214,199,199,196,198,202,197,170,124,212,213,214,214,214,215,216,216,219,199,181,173,144,116,102,95,81,66,201,207,207,207,203,188,140,96,59,40,211,212,214,214,214,216,216,216,219,186,170,178,154,140,119,100,57,116,218,200,176,140,110,77,49,45,39,39
6,220,222,222,223,223,223,222,222,222,222,222,220,219,218,217,217,217,214,213,211,211,211,211,209,207,207,156,173,222,223,223,223,225,224,223,224,224,223,223,222,221,221,220,218,217,216,215,214,213,213,212,211,209,206,201,159,224,225,226,226,226,226,225,224,226,224,223,223,222,223,222,221,219,217,218,217,216,215,213,212,211,208,208,192,225,227,228,228,228,228,228,227,228,227,226,224,223,224,223,221,221,219,219,220,220,215,214,213,212,210,207,199,226,228,229,230,230,230,229,229,228,228,226,226,225,225,224,224,223,222,220,220,219,217,215,215,213,212,208,204,228,229,229,231,232,230,230,231,230,230,229,228,227,225,225,227,225,223,221,221,221,220,217,215,215,213,212,208,229,230,230,232,233,233,233,234,231,230,230,231,229,229,229,226,225,220,220,220,220,217,213,213,207,210,210,211,230,231,232,234,235,235,234,234,236,235,231,228,224,218,216,213,212,190,191,205,206,191,201,197,205,246,193,203,230,232,235,236,235,235,234,232,225,214,216,217,212,213,216,217,207,202,190,212,216,199,203,205,196,226,175,197,232,235,236,237,236,235,235,241,217,196,205,217,220,225,227,226,210,188,190,184,184,173,162,164,154,158,185,215,233,234,236,237,237,234,245,253,225,209,199,198,202,197,193,185,176,166,141,136,128,134,175,181,198,212,219,215,234,235,237,237,239,236,254,255,237,223,207,192,187,178,172,162,148,129,103,89,87,193,236,226,225,222,217,215,234,236,238,239,239,243,255,255,249,219,185,178,183,191,189,182,172,164,162,124,161,237,222,222,222,221,218,217,236,238,238,241,237,252,255,255,246,191,161,170,174,186,191,190,180,169,170,139,174,238,225,226,223,222,220,219,238,239,241,241,236,255,255,255,219,167,176,173,164,166,184,175,165,164,158,114,181,238,227,227,224,222,221,220,237,240,241,238,243,255,255,255,228,208,193,177,154,154,187,180,172,176,159,127,224,232,229,228,226,224,223,221,238,241,243,237,255,255,255,255,255,246,207,174,180,190,190,182,169,158,156,138,196,239,228,229,227,224,222,220,241,242,238,243,255,255,255,255,255,253,201,164,170,176,175,173,158,148,148,117,189,239,229,230,228,225,222,220,240,242,234,250,255,255,255,253,252,233,192,168,163,154,158,165,162,155,135,132,225,234,230,230,228,225,225,228,241,232,235,255,255,255,254,246,240,235,218,199,167,129,137,161,157,156,127,166,241,229,231,229,224,225,223,200,240,220,248,255,255,255,252,251,245,238,243,232,182,148,162,183,171,151,141,128,222,235,228,227,229,236,162,85,229,228,255,255,255,255,255,253,240,244,249,219,165,145,154,156,146,135,124,120,221,235,234,238,210,146,84,72,224,245,252,255,253,249,243,239,236,245,232,193,155,149,148,137,127,122,117,188,245,236,208,150,99,73,73,69,239,247,253,249,241,234,227,229,228,214,194,167,151,140,119,155,172,192,217,225,183,134,87,71,72,71,72,71,246,246,249,242,228,223,221,218,216,195,170,158,158,149,162,217,196,172,142,104,75,54,59,69,69,64,67,64,243,245,237,226,215,204,215,214,202,190,179,165,143,114,116,91,72,64,62,72,60,46,57,62,64,61,63,60,243,241,233,223,209,198,200,194,180,172,155,129,98,75,58,63,63,64,68,69,48,39,51,57,62,59,59,62,245,236,229,213,191,185,178,163,146,135,114,88,66,75,64,51,56,57,63,65,42,37,48,55,60,55,55,60
11,168,171,172,175,177,177,178,179,179,178,176,175,173,174,173,171,169,168,165,165,164,162,160,158,156,156,154,150,170,173,175,177,178,180,180,180,179,179,179,177,176,177,178,175,173,171,169,168,166,165,163,160,158,157,155,151,171,175,179,179,181,182,182,182,182,182,181,178,177,177,162,174,177,174,172,171,167,166,165,164,160,159,158,155,175,177,179,182,184,183,183,184,184,185,183,183,180,197,127,114,185,174,174,174,171,168,168,166,163,160,159,157,176,178,182,185,186,185,185,185,186,186,186,184,183,202,134,79,182,176,176,176,174,171,171,169,167,163,160,159,178,180,184,185,186,187,187,188,188,188,187,186,186,196,132,84,178,179,177,177,176,174,172,169,168,166,163,160,181,183,186,186,188,191,190,190,190,190,189,187,186,213,149,90,175,184,178,179,177,176,174,171,169,166,164,162,182,186,187,189,192,192,193,193,192,190,191,190,190,221,159,86,168,188,179,180,178,177,175,172,171,167,165,164,184,187,189,192,193,193,194,194,194,193,192,189,197,213,142,79,169,188,181,182,181,179,176,174,172,170,169,166,185,188,191,193,193,194,194,195,195,194,197,194,204,203,139,75,176,189,183,183,182,182,180,177,173,172,168,167,186,191,194,195,195,195,197,201,203,196,164,148,210,198,141,85,183,188,186,186,184,184,181,178,175,172,168,167,191,193,195,195,199,204,199,176,169,190,140,72,156,173,112,86,194,189,186,186,186,184,182,180,178,175,171,168,191,194,198,198,185,171,202,146,76,116,159,90,56,86,59,96,206,191,189,187,186,185,183,180,178,176,174,170,192,196,198,208,176,84,143,163,73,97,162,89,36,53,41,136,206,191,192,190,189,188,187,184,178,177,176,173,196,196,205,218,193,107,99,176,80,95,142,75,39,52,40,147,205,193,193,189,185,176,165,172,185,180,175,173,198,197,224,230,197,118,69,146,72,76,125,66,35,39,30,145,209,193,193,180,176,154,129,117,124,175,177,173,196,206,228,204,183,125,46,101,65,90,136,83,29,35,35,153,205,192,207,185,146,110,83,78,44,130,188,174,197,208,239,205,181,115,42,121,72,110,193,112,41,49,52,130,194,197,180,113,47,59,103,123,110,161,185,177,199,212,244,223,166,93,65,168,120,112,234,109,38,72,106,141,186,178,112,37,86,185,200,197,195,188,180,177,198,215,244,210,153,154,94,186,201,58,122,87,81,127,117,136,145,106,40,109,207,197,191,188,184,184,182,178,198,214,239,209,176,159,92,148,140,59,139,174,152,134,102,104,88,35,106,213,197,195,194,191,188,185,184,181,202,211,232,218,195,162,168,180,187,173,166,156,139,122,95,71,36,81,207,201,199,197,194,192,189,187,186,183,201,207,225,214,192,163,149,164,188,174,157,145,120,114,82,31,96,202,205,201,200,198,194,193,191,189,186,184,218,218,219,210,179,137,124,150,160,150,144,121,112,94,36,119,218,207,204,203,202,199,194,193,192,191,186,184,64,138,211,186,152,118,144,155,150,136,121,106,73,47,138,221,205,204,204,202,202,199,196,194,192,190,186,184,8,27,169,187,178,176,161,144,138,110,79,34,85,183,219,207,207,205,203,202,200,199,197,194,190,187,185,183,38,30,43,130,175,168,144,127,114,82,29,77,225,218,208,209,209,207,204,203,201,199,197,194,194,189,186,186,26,28,21,28,79,103,111,101,77,44,17,181,222,210,212,211,209,208,207,204,201,201,198,195,193,189,188,174
4,91,97,106,111,113,116,118,121,123,124,125,127,128,131,132,133,134,136,138,139,140,141,142,143,143,144,146,145,92,98,106,112,113,116,120,122,123,125,127,129,128,129,130,133,138,136,138,140,141,142,142,143,143,144,145,145,94,100,106,111,114,118,121,122,125,124,124,126,132,140,125,120,124,140,137,141,143,142,143,144,144,144,144,145,95,101,109,112,115,119,121,123,124,134,136,121,118,144,153,130,99,105,126,110,130,144,142,145,145,145,145,145,96,102,110,113,116,119,122,122,122,152,161,147,120,97,148,129,99,74,123,92,93,149,142,146,146,146,147,147,96,103,110,114,118,120,121,138,140,129,111,148,125,85,117,122,90,71,110,96,88,147,144,146,146,147,147,148,98,105,112,115,119,118,133,168,152,124,86,126,121,82,94,134,101,71,121,111,82,142,146,147,147,147,148,148,98,106,113,115,118,116,145,151,151,121,86,105,136,88,73,138,113,62,132,118,74,140,148,147,148,148,148,148,99,108,113,116,119,116,149,149,133,138,112,81,141,108,45,108,139,89,101,106,115,107,135,149,147,149,149,150,100,107,112,116,121,117,149,149,117,128,114,60,95,101,58,95,144,118,99,105,117,99,111,152,148,150,151,151,102,109,115,117,121,117,149,154,138,118,96,81,72,94,88,102,121,122,118,109,102,119,101,143,151,150,150,151,103,111,116,118,122,120,161,154,131,117,105,87,89,109,95,111,123,120,111,108,124,136,102,125,156,151,152,152,104,111,116,119,122,124,168,152,124,109,96,84,93,106,108,119,132,114,88,123,149,138,118,108,156,152,152,153,105,112,116,119,121,129,171,148,126,110,98,91,98,105,122,124,134,144,145,129,130,140,124,98,146,156,152,152,106,112,116,120,120,136,177,151,128,111,104,93,100,111,129,133,142,155,153,145,138,123,114,85,129,160,153,155,107,113,117,121,120,134,180,154,133,118,102,94,101,113,133,142,152,157,153,145,137,119,101,78,124,162,155,157,109,113,117,121,121,133,181,158,141,124,103,99,102,114,139,151,157,158,152,145,131,117,99,77,140,159,155,156,110,114,116,121,122,135,184,159,145,129,113,108,108,118,146,160,162,157,147,138,128,112,90,90,159,155,156,157,110,114,117,121,122,133,178,160,150,135,126,111,114,129,151,168,164,156,146,133,120,105,77,118,164,155,157,157,110,115,117,122,125,127,168,165,156,143,136,123,118,142,147,164,162,153,145,128,114,92,78,149,159,156,157,158,110,114,118,122,125,124,159,167,159,149,141,133,122,137,144,158,158,150,141,125,112,82,103,164,155,157,158,158,111,114,118,122,126,125,148,175,162,154,144,134,125,133,142,157,154,143,138,125,109,82,138,161,157,157,158,158,112,115,118,123,126,126,140,182,164,153,142,130,127,132,143,152,146,135,127,123,101,101,162,157,158,158,158,158,112,115,118,123,127,128,139,186,159,148,141,134,133,135,142,143,132,126,116,108,94,146,159,158,158,158,158,158,112,115,118,123,127,128,140,180,151,148,147,144,140,136,138,139,129,120,111,86,132,160,157,159,158,159,159,159,113,116,119,123,126,126,143,176,152,154,151,148,147,139,134,134,126,115,94,96,161,154,157,157,159,159,159,159,112,115,119,123,127,127,144,177,166,155,147,151,154,140,128,125,120,109,79,122,161,155,157,158,159,159,159,159,111,115,120,124,127,127,145,175,170,154,149,156,155,135,125,120,119,100,76,143,160,156,159,159,159,159,160,160
7,143,164,177,183,189,193,197,197,199,201,204,206,206,207,207,208,209,209,209,208,206,206,204,203,203,201,200,198,145,166,178,184,190,194,197,199,200,203,206,206,208,208,208,209,210,210,209,208,208,207,206,205,204,202,201,200,146,168,178,186,191,195,197,200,202,204,206,207,209,210,210,211,212,212,212,211,210,208,208,207,205,204,203,202,147,168,179,187,192,196,199,201,204,206,206,207,209,212,212,212,213,212,212,212,212,210,209,209,208,206,205,203,148,169,179,187,193,197,200,202,204,207,207,209,211,213,213,213,213,213,213,213,213,212,213,211,208,207,206,204,149,170,179,188,194,198,200,202,204,206,208,210,212,215,217,217,218,219,217,216,214,210,206,205,210,210,208,205,149,170,180,188,193,198,201,205,208,210,213,212,211,207,201,194,182,180,176,180,167,157,183,186,179,211,207,207,150,171,180,189,194,198,201,193,185,180,179,177,171,159,154,158,134,143,147,142,142,144,181,177,156,214,212,208,152,173,181,190,194,201,187,158,150,157,159,163,162,152,144,136,133,134,136,132,137,133,133,128,152,191,204,212,153,173,180,189,199,196,177,145,137,143,141,143,144,146,147,151,151,135,140,150,143,138,134,128,133,155,156,203,154,172,184,193,193,182,170,150,135,133,142,152,160,163,162,157,148,124,131,149,136,126,125,117,124,146,131,193,153,184,192,189,181,177,175,164,160,162,167,171,161,158,154,149,130,118,118,119,114,111,112,112,117,129,163,212,185,195,188,186,186,183,167,145,135,140,150,149,142,138,127,116,112,128,145,163,177,190,198,202,208,212,217,214,202,193,191,190,185,167,157,122,115,129,127,114,106,123,171,191,205,215,225,229,228,227,225,223,221,217,215,214,197,194,193,182,163,159,145,115,112,107,95,84,90,100,125,140,217,227,221,221,220,220,220,219,219,217,216,214,196,196,185,169,159,153,147,139,121,101,99,103,101,96,89,69,156,234,220,224,223,222,221,220,221,218,216,215,197,188,167,158,153,150,162,165,136,104,103,106,105,103,104,87,161,236,222,224,222,223,222,222,221,218,217,215,183,166,151,150,149,147,151,147,116,98,96,92,96,97,98,79,125,232,224,225,224,224,222,221,220,220,219,215,160,153,148,147,142,133,135,123,103,91,80,87,100,103,100,86,152,228,223,225,225,224,222,221,220,220,218,216,155,152,149,144,135,120,114,115,113,98,97,110,111,105,86,166,235,224,225,225,225,224,222,221,221,220,218,215,149,139,132,126,120,116,122,133,127,108,100,96,96,100,153,224,223,224,224,223,223,222,221,221,219,218,217,214,140,132,130,127,125,125,129,132,117,94,110,149,178,208,226,221,221,222,222,221,221,221,220,220,219,217,215,214,138,134,134,130,122,118,114,105,101,145,205,225,226,222,220,222,222,222,222,221,222,221,220,220,219,219,216,214,116,120,117,113,109,106,117,152,189,219,218,216,217,219,220,221,222,222,222,221,221,221,220,220,218,218,215,214,87,59,113,156,158,175,197,210,210,209,213,215,218,219,220,220,220,220,221,221,221,220,221,220,218,216,214,213,77,34,145,206,201,208,207,207,210,214,217,219,220,221,223,223,223,222,222,221,219,218,219,217,214,213,214,212,54,41,154,180,169,170,169,169,168,169,167,164,163,165,164,164,161,158,158,157,153,151,149,146,144,140,120,112,34,56,125,130,129,132,131,131,133,132,130,131,131,132,132,129,129,128,127,127,127,127,125,123,122,94,58,56
3,73,63,20,49,75,90,99,111,118,124,128,132,135,138,140,143,145,147,150,151,153,155,156,158,160,160,160,161,78,59,21,54,79,93,102,113,120,126,131,134,137,138,141,144,147,147,146,153,155,157,158,159,160,162,163,163,83,55,23,59,82,94,105,115,122,127,132,135,137,140,143,146,149,153,117,146,157,158,160,161,161,163,164,164,83,47,26,62,84,95,106,116,123,128,133,136,138,140,144,148,153,163,109,133,158,159,161,162,163,164,165,165,84,39,32,65,85,97,107,118,124,129,133,137,139,143,146,149,156,163,106,131,159,160,162,164,164,165,166,166,83,32,38,68,87,98,109,119,125,131,135,138,141,144,147,150,160,165,108,135,160,161,163,164,165,166,167,167,81,27,42,71,89,99,111,121,127,133,137,141,144,146,145,146,165,155,104,138,163,164,165,166,167,168,169,168,78,24,48,75,91,101,113,123,129,134,138,141,142,167,157,130,154,134,98,140,165,166,167,167,168,169,169,170,73,24,53,78,93,104,115,124,130,134,152,159,137,147,172,138,116,123,95,148,166,167,168,168,169,171,172,172,65,24,58,80,94,105,116,125,131,136,161,183,163,124,142,146,119,132,100,156,166,168,169,170,171,173,173,173,56,27,61,83,96,107,119,126,137,169,158,134,151,132,114,161,145,130,96,151,168,168,170,172,173,174,174,175,47,30,64,84,98,109,120,126,144,181,165,128,113,138,107,110,119,133,100,117,165,170,172,173,174,174,175,176,38,35,68,86,100,110,121,126,151,158,124,138,127,127,125,79,97,147,139,108,138,173,173,174,175,176,176,176,29,40,70,89,100,111,122,126,157,149,98,105,104,100,106,100,100,138,154,112,134,175,175,176,176,177,178,177,22,45,73,89,101,112,123,127,161,154,128,105,83,94,108,118,108,143,157,108,147,177,176,177,177,178,178,179,18,50,75,90,101,113,122,128,170,162,128,98,86,104,125,127,122,162,163,109,158,176,176,177,179,179,179,180,17,54,77,92,103,113,123,130,169,155,115,94,96,115,137,143,158,177,154,106,162,176,177,178,179,180,180,181,20,57,78,93,104,114,124,130,167,160,126,103,99,121,146,167,184,170,140,103,164,177,179,179,180,181,181,181,24,59,81,95,105,115,124,129,166,167,135,110,105,122,158,187,186,155,119,108,173,179,180,180,180,180,181,182,28,62,82,95,106,116,125,129,164,174,148,117,112,127,173,189,180,151,103,114,177,179,180,180,180,181,181,181,32,64,83,95,105,116,125,130,157,173,151,128,121,133,180,186,172,144,96,125,179,179,180,181,181,181,182,182,36,67,83,95,105,116,124,131,147,165,155,143,133,137,174,177,160,135,92,144,180,179,180,181,181,182,182,182,40,69,85,96,106,117,124,131,139,160,161,151,143,134,159,161,146,121,96,162,179,179,181,181,182,183,182,182,44,70,86,96,106,117,124,131,138,164,166,153,139,127,140,145,136,115,111,175,179,180,181,182,182,183,183,182,47,71,86,96,106,117,125,132,139,174,171,152,135,124,134,133,133,105,141,178,178,180,181,182,183,183,183,183,51,72,86,96,107,117,125,132,142,182,173,154,138,130,140,130,120,101,164,177,179,180,181,182,182,183,183,183,54,74,87,97,107,117,124,132,144,183,181,165,139,141,146,122,100,111,173,177,179,180,182,182,183,184,184,184,58,75,88,98,107,117,124,132,144,185,187,168,139,146,141,115,89,122,176,177,179,180,182,182,183,185,186,185
24,127,133,141,153,161,166,171,175,180,182,186,188,190,191,191,191,190,189,188,187,186,183,181,181,180,177,174,172,130,134,144,157,165,170,175,179,184,188,190,193,195,196,196,196,196,194,193,193,192,190,188,187,185,182,179,178,132,137,148,159,167,174,178,183,187,192,194,198,200,199,200,200,200,199,199,199,197,195,194,192,191,189,185,183,134,140,150,162,170,176,181,185,190,194,199,201,202,202,204,204,204,204,203,202,201,198,198,197,195,194,190,187,136,141,151,165,173,179,185,188,193,197,201,205,206,206,207,207,207,206,206,205,205,204,202,201,200,199,195,193,139,143,162,170,176,182,187,191,196,200,204,207,208,208,209,210,210,209,208,208,207,207,206,206,206,204,200,198,137,160,170,135,183,184,189,193,198,202,206,208,211,211,211,213,212,212,212,211,210,210,211,210,209,207,205,202,137,171,158,96,181,187,190,195,201,205,208,210,210,212,214,215,219,215,212,214,213,212,213,214,211,209,207,206,138,177,157,90,176,190,193,199,204,206,209,213,219,217,218,193,166,213,217,213,215,217,215,210,217,213,209,206,140,182,146,85,174,193,194,198,201,212,210,212,177,196,246,194,121,135,222,218,210,191,175,134,151,220,212,216,142,176,140,84,174,193,204,187,146,183,227,219,140,109,176,203,155,101,195,208,194,163,117,88,182,233,211,181,144,176,155,86,167,194,221,217,180,156,212,221,159,119,108,203,172,119,143,171,205,134,97,181,199,143,78,52,145,178,170,97,147,200,213,242,231,189,145,222,185,154,112,185,174,113,94,192,176,94,87,99,58,38,45,40,151,169,190,149,154,190,212,209,241,214,148,161,213,162,105,131,153,90,124,210,129,78,47,39,53,58,52,49,153,158,202,182,174,194,212,169,191,218,153,99,205,184,116,71,85,94,179,182,99,53,43,41,38,56,52,44,155,158,190,203,197,218,220,197,168,188,148,83,175,200,125,58,65,153,187,146,77,32,37,52,34,42,54,50,156,163,180,228,207,190,196,181,151,165,155,106,119,156,94,85,120,157,154,113,53,46,24,42,45,34,44,55,155,166,176,227,209,171,184,169,131,137,159,134,103,102,151,179,167,165,125,85,20,48,39,25,41,36,39,48,156,168,177,216,218,154,142,155,137,139,159,171,146,167,236,219,187,175,109,66,7,31,53,32,28,38,36,39,120,127,122,168,222,171,127,143,181,149,197,229,207,232,242,212,185,166,98,65,18,14,46,49,34,35,30,35,108,111,104,129,227,202,150,126,169,166,209,228,236,247,233,200,176,150,88,54,34,4,32,50,43,40,30,27,113,115,115,118,212,216,174,139,140,173,196,235,242,237,217,189,165,142,82,32,45,3,19,45,44,45,36,23,115,116,119,111,191,225,194,159,139,166,183,232,241,227,205,178,155,139,86,18,49,15,5,35,46,41,38,32,113,115,119,108,167,227,206,172,155,165,172,220,234,214,195,175,147,131,83,19,44,30,0,21,44,38,36,35,112,114,117,111,136,218,209,186,165,170,163,205,225,204,192,174,133,118,75,21,38,41,6,7,38,40,32,33,112,113,114,115,114,192,210,196,175,178,161,182,213,198,195,166,119,109,57,5,35,44,20,0,25,43,27,29,112,113,113,115,110,141,212,204,186,179,166,159,191,190,182,153,111,101,46,0,18,46,33,7,8,37,30,21,111,112,112,113,116,110,179,209,190,178,162,144,157,174,158,135,109,88,31,0,4,41,38,20,2,21,38,18
0,180,180,180,180,180,180,180,180,179,178,177,177,177,177,175,174,174,174,172,171,169,169,168,167,166,165,163,163,181,182,181,182,182,180,180,181,180,179,178,178,179,177,177,175,175,174,174,173,171,170,169,167,166,165,165,164,182,182,182,182,182,181,182,182,181,181,180,179,179,179,178,176,177,174,173,173,172,172,170,169,167,166,166,165,184,183,183,183,182,182,184,183,182,182,181,178,171,177,178,177,175,176,175,174,173,172,171,170,169,167,166,165,184,184,185,185,184,183,183,182,179,181,179,159,130,127,168,150,131,137,173,169,167,170,171,171,170,168,167,166,185,185,185,185,185,184,183,171,146,149,167,151,125,99,117,135,114,89,122,127,113,122,166,156,156,169,167,166,187,186,185,186,184,184,183,169,146,124,131,161,126,104,104,146,120,95,83,123,102,74,116,139,120,169,168,167,187,187,186,185,185,185,184,182,156,136,105,152,130,109,98,147,124,98,88,129,112,77,74,130,104,169,169,168,188,188,186,186,186,187,181,167,163,136,93,141,134,109,96,145,123,95,72,119,106,76,62,119,96,156,170,170,189,188,188,188,188,189,172,136,160,119,85,138,123,97,87,132,110,84,62,109,96,68,62,118,102,115,169,170,189,189,188,189,188,183,153,118,158,109,83,133,108,82,82,123,102,76,73,128,106,63,63,123,116,91,144,169,189,188,189,189,190,183,166,141,155,121,94,130,114,83,87,129,107,72,106,144,107,54,79,127,119,92,105,172,189,190,190,190,191,177,155,135,131,121,93,133,126,84,102,141,117,76,99,127,79,56,115,137,116,80,117,171,190,191,192,192,186,158,132,112,98,88,79,133,117,81,93,137,115,72,38,49,41,92,140,137,103,74,158,172,192,192,192,190,184,164,138,113,90,81,78,89,97,75,61,85,86,85,100,77,84,136,140,122,82,113,173,172,193,193,193,189,181,164,140,113,92,87,93,92,97,100,95,103,131,147,143,135,117,131,127,99,71,159,174,172,193,193,194,191,183,166,144,120,97,88,94,103,121,133,141,151,156,149,139,135,115,111,109,76,101,174,175,174,192,193,193,190,184,167,147,127,107,97,98,109,141,155,163,162,156,145,134,129,107,92,89,61,148,177,176,175,193,194,193,190,186,170,152,134,115,111,107,140,165,166,167,162,153,139,129,122,95,76,65,97,175,178,177,176,194,194,193,191,188,175,157,142,129,126,134,161,171,170,167,160,148,136,121,108,80,58,82,165,179,179,178,177,194,195,194,191,188,177,161,148,138,133,154,165,172,172,165,149,139,128,111,92,63,73,163,179,180,179,178,177,194,195,194,190,187,180,167,153,141,136,161,168,172,168,156,139,128,116,97,71,65,156,180,180,180,180,179,177,194,196,195,190,185,180,169,158,144,137,159,168,162,156,142,126,113,99,75,60,147,182,183,182,180,180,178,177,195,197,197,193,186,182,173,166,154,143,155,162,152,143,130,113,96,74,57,138,182,185,184,182,181,179,178,177,196,196,197,194,188,180,172,167,158,148,152,154,143,129,118,99,73,58,135,183,185,185,183,182,182,180,179,178,196,197,197,193,187,179,181,179,168,156,149,145,130,116,104,78,60,140,186,188,188,186,184,182,182,180,179,179,196,196,196,191,188,175,180,178,163,154,143,137,118,99,87,61,137,187,190,188,188,187,185,184,183,181,180,179,196,196,195,186,183,162,176,168,157,149,139,122,109,90,70,91,186,190,189,188,188,186,185,184,183,182,181,179
1,64,67,71,76,88,106,120,126,130,135,141,146,150,154,158,161,163,165,166,167,168,170,171,171,172,173,173,173,65,68,73,78,91,108,122,129,132,139,144,148,154,166,147,160,165,165,166,167,168,170,171,171,171,172,172,172,67,70,74,80,94,112,126,132,136,144,148,151,165,185,119,138,153,166,168,168,169,170,171,171,171,171,172,172,67,71,76,81,97,115,129,135,141,148,159,155,159,190,114,118,126,147,174,173,173,172,173,173,172,173,172,172,68,72,77,82,99,119,132,138,145,152,184,163,132,187,113,118,133,117,177,179,178,178,178,177,175,176,175,174,70,74,78,84,102,122,136,141,149,156,191,167,122,176,112,115,140,101,171,184,183,183,183,182,180,180,179,179,71,74,79,87,106,125,138,144,153,159,195,169,113,169,124,117,146,102,165,190,188,188,188,187,186,185,184,183,72,75,80,89,110,129,141,147,158,167,187,169,105,148,122,119,158,110,157,196,194,194,194,192,191,189,188,187,72,76,81,92,114,132,144,149,171,172,166,167,102,130,120,108,156,111,154,201,199,199,199,197,196,194,193,192,74,78,82,95,118,136,147,151,191,165,155,165,103,141,130,108,174,128,153,206,203,203,203,202,201,200,200,198,75,79,83,97,121,139,149,155,198,150,149,176,110,135,128,109,182,141,149,209,208,208,207,206,205,205,204,202,77,80,83,99,124,142,152,161,202,143,134,175,105,107,117,113,177,142,141,213,211,211,210,210,209,209,207,206,79,82,85,103,127,145,155,167,207,146,111,166,113,107,119,138,162,130,133,215,215,215,215,214,213,211,211,210,79,82,86,106,130,148,158,172,213,152,97,179,171,142,142,154,141,107,121,214,218,218,217,216,215,214,215,214,79,81,86,109,133,152,161,175,210,151,125,155,149,136,139,132,128,124,112,203,222,221,221,220,219,218,217,217,79,81,88,111,136,154,163,181,216,173,153,124,119,132,138,122,139,158,135,163,222,224,224,224,223,223,222,221,79,81,89,114,138,157,165,191,224,180,143,114,122,122,149,162,181,192,175,131,183,227,226,226,224,224,225,225,80,82,91,118,142,161,167,200,227,175,131,111,125,138,179,215,198,197,190,128,119,216,229,229,227,228,228,227,80,82,92,121,145,164,170,205,229,175,126,117,133,153,200,226,228,202,161,106,103,203,233,231,230,230,232,231,80,83,95,124,149,166,172,203,234,183,128,122,141,169,208,225,226,195,143,101,106,214,234,234,235,225,195,151,81,82,97,127,151,169,174,200,233,195,141,123,150,178,215,229,218,183,137,99,119,229,237,220,167,112,72,53,80,82,99,129,154,171,177,198,231,210,160,129,153,178,220,229,205,170,130,97,140,239,207,114,58,45,47,43,79,81,100,132,156,172,178,194,222,213,174,139,151,179,219,221,197,161,122,92,162,192,98,60,52,33,45,47,77,80,101,133,158,172,177,191,209,211,183,152,155,176,213,211,187,150,115,90,119,79,43,46,60,33,31,51,76,79,102,135,161,174,180,192,202,209,190,165,162,162,202,196,175,137,106,84,76,58,48,30,51,46,21,37,73,77,102,136,162,176,182,194,203,206,192,170,163,152,180,180,158,123,98,77,78,62,47,28,32,53,26,22,90,92,110,137,158,172,179,190,199,201,193,175,166,151,154,167,145,113,87,71,78,63,42,31,21,41,39,15,118,119,119,120,126,133,137,142,145,159,197,181,169,152,141,153,135,105,76,65,74,54,49,29,19,30,46,18
4,46,54,71,84,90,96,101,105,108,112,113,115,119,121,125,128,129,130,133,132,134,135,136,138,138,137,138,139,48,56,74,86,92,99,101,106,110,112,115,118,119,122,124,127,131,133,133,137,136,137,137,139,140,139,140,141,48,59,76,86,92,98,103,108,112,114,112,115,120,125,132,126,112,124,133,122,133,142,139,141,142,142,142,143,50,58,78,87,94,99,104,109,113,112,133,135,114,117,163,137,79,54,113,86,62,137,144,141,144,144,144,143,50,62,80,88,96,101,105,108,119,120,118,150,146,86,112,127,71,29,63,87,35,96,153,141,145,145,145,144,50,64,82,89,96,101,107,106,147,145,111,92,107,77,59,103,62,24,81,93,31,80,156,142,146,146,147,146,51,67,83,90,98,103,104,122,162,155,131,97,46,45,55,134,70,34,119,76,13,92,157,144,147,148,149,150,52,68,85,91,98,104,100,143,141,115,125,72,37,28,49,119,81,115,122,79,23,112,154,145,149,150,151,151,53,71,86,91,98,106,102,151,118,99,119,47,26,37,19,69,110,132,104,105,70,100,157,147,150,151,152,153,56,72,86,92,99,106,107,163,132,117,106,58,14,71,98,109,113,100,94,121,101,75,115,160,151,152,153,153,57,76,88,94,101,102,118,166,119,94,85,60,0,77,114,93,93,55,89,136,122,111,67,121,161,151,154,155,59,78,88,94,101,100,129,158,108,81,61,32,2,6,42,52,39,36,87,121,136,123,89,57,137,159,155,156,61,79,89,95,103,98,148,166,121,95,77,51,23,9,15,18,64,139,135,130,126,108,102,59,80,164,154,157,62,80,89,96,104,99,165,163,121,110,82,52,35,33,68,118,153,160,142,129,109,78,81,57,80,165,156,159,63,81,90,96,103,103,175,164,142,119,81,64,47,60,131,158,163,162,144,117,97,66,58,48,126,163,158,159,63,82,91,96,102,108,184,168,146,112,82,78,54,100,152,153,162,157,133,106,82,61,42,72,163,157,159,160,66,82,91,98,103,107,180,169,140,109,93,93,76,124,149,149,156,147,120,95,74,56,35,128,166,158,161,162,69,84,91,99,105,109,178,166,136,121,119,104,100,133,145,153,144,128,106,83,69,43,71,165,158,160,161,163,69,85,92,99,105,108,165,165,149,139,130,108,111,137,143,143,126,109,92,73,59,37,134,166,159,161,163,163,71,84,90,99,107,105,149,171,161,148,128,105,92,120,129,123,110,94,80,66,39,81,167,160,161,162,164,164,73,85,90,99,108,107,135,171,151,142,124,100,83,105,114,110,95,80,70,54,43,147,164,163,164,164,165,165,75,86,91,100,108,110,124,166,140,124,113,90,90,103,115,110,91,74,64,36,106,168,160,164,165,165,166,166,77,85,92,101,108,112,119,154,126,117,105,93,111,98,99,103,82,66,45,55,160,162,162,163,166,166,166,167,77,85,94,102,108,114,117,157,129,125,113,116,122,99,84,91,74,58,34,113,169,159,162,163,166,167,168,168,77,86,95,102,110,111,150,150,148,129,120,118,108,93,76,78,68,54,37,145,165,160,162,166,167,167,168,169,79,86,95,104,103,131,167,145,121,128,128,115,97,87,70,66,58,49,32,143,166,161,164,167,168,168,168,169,80,86,95,102,110,167,152,159,132,75,113,107,90,81,56,55,54,44,34,145,165,164,166,166,168,168,169,170,81,87,99,98,137,167,148,152,167,113,55,84,85,75,47,52,50,41,28,141,165,165,166,167,168,169,169,170
11,184,184,184,183,183,182,183,183,180,183,180,178,178,177,176,175,173,172,171,170,168,166,165,165,162,161,159,161,188,187,186,187,186,186,187,185,188,161,179,182,180,180,179,178,176,175,173,173,171,169,167,166,165,163,167,150,191,191,190,190,190,190,191,189,198,148,144,193,184,184,182,180,179,178,177,175,174,172,170,167,168,167,118,68,194,194,195,194,194,195,193,193,190,174,117,177,192,187,185,184,182,180,179,177,176,175,173,171,167,103,51,51,197,197,197,197,198,198,196,197,194,186,128,145,199,189,189,187,186,184,182,181,180,178,175,179,124,66,61,62,202,201,201,200,201,200,200,199,197,186,138,125,201,192,192,190,190,187,186,184,183,180,181,172,84,79,73,60,203,204,204,204,203,203,203,202,201,191,167,115,189,200,195,193,192,191,189,188,186,183,187,163,74,79,72,68,206,206,206,205,206,205,206,206,203,206,181,111,172,206,197,196,195,192,192,191,189,185,189,158,75,71,58,62,209,210,209,208,208,208,208,208,205,207,189,114,156,211,198,199,198,196,193,193,191,187,194,145,65,72,54,67,211,211,211,210,210,210,209,210,208,193,186,130,134,211,201,200,199,198,197,195,194,189,199,133,58,68,53,59,212,212,211,212,212,213,212,211,213,193,187,169,116,190,211,207,201,201,199,198,197,193,200,122,58,65,50,56,214,214,214,215,214,215,215,213,216,206,193,200,133,169,151,179,209,202,202,200,199,197,195,94,59,49,51,66,216,216,216,216,217,216,215,214,215,211,192,199,208,200,116,116,215,204,204,203,200,199,197,108,99,107,96,74,217,217,217,218,217,217,217,216,217,219,198,204,182,153,128,99,201,209,206,204,202,199,191,176,172,165,150,104,219,218,218,219,219,219,220,219,210,181,202,215,164,93,116,101,174,216,206,205,203,194,192,188,169,131,108,93,220,221,221,221,221,223,219,210,204,137,123,186,160,99,102,104,141,219,205,208,195,198,199,179,131,120,103,74,222,222,222,222,223,221,211,214,197,148,111,126,164,118,95,105,107,212,217,203,180,191,188,130,110,165,159,68,222,223,224,224,221,211,218,199,160,161,139,106,143,137,90,105,101,159,194,168,176,182,140,127,170,177,168,115,225,224,225,226,215,211,196,156,111,142,144,110,114,141,93,99,112,92,116,154,172,150,124,206,162,137,151,150,226,227,226,226,213,209,194,163,105,110,157,86,82,144,107,91,142,121,118,151,153,113,185,212,193,81,134,152,228,229,228,228,208,210,197,159,116,104,131,63,69,150,106,84,160,134,115,141,110,139,217,202,212,162,150,161,229,228,228,230,217,204,195,178,164,120,85,74,73,148,131,100,114,128,129,118,101,202,212,207,205,208,179,148,230,229,229,231,228,205,201,192,173,144,107,94,112,154,151,115,127,168,134,91,169,221,209,209,205,208,183,144,231,231,231,231,232,214,199,191,185,159,130,105,120,176,160,124,151,142,111,100,210,215,212,209,207,209,187,125,231,231,232,231,234,221,203,193,181,160,134,118,111,158,183,165,148,128,90,135,226,213,212,211,209,210,190,116,230,230,231,231,231,228,199,191,171,160,141,125,116,138,161,154,142,113,85,196,221,213,211,211,208,211,183,150,231,231,231,232,230,234,208,183,176,163,149,136,121,120,138,132,123,83,153,224,212,213,211,210,213,203,163,161,232,232,233,233,230,233,227,184,175,165,156,141,119,107,118,112,88,128,224,215,215,213,211,209,169,157,155,162
2,156,157,158,160,162,164,164,164,164,164,164,164,163,163,162,161,161,161,159,159,158,158,157,156,155,155,153,151,157,158,160,162,164,164,165,165,166,165,165,165,165,164,168,179,187,180,164,154,153,155,157,157,157,156,155,153,158,159,161,164,165,165,166,166,166,167,167,165,170,183,201,205,193,183,176,141,120,117,137,156,157,157,156,155,160,161,162,164,166,167,167,166,168,168,166,178,209,204,204,200,176,150,137,111,89,88,88,139,160,158,157,157,161,163,165,165,166,168,169,169,169,169,167,204,212,202,199,166,128,103,96,87,84,84,79,128,161,158,158,158,162,163,165,167,168,169,170,171,170,169,174,220,212,195,155,115,84,75,79,82,90,93,110,150,162,160,159,159,163,164,166,168,170,171,171,172,171,168,188,226,206,149,103,83,71,80,90,120,148,150,159,163,163,162,160,160,164,166,167,170,170,171,173,174,174,170,199,222,183,115,77,77,77,87,133,163,167,167,166,164,163,163,162,161,166,167,169,170,171,172,173,174,175,174,216,208,147,89,66,70,76,93,164,168,167,166,166,165,164,163,163,162,167,169,170,171,173,174,174,175,173,193,221,171,107,69,64,61,73,98,166,169,169,168,167,166,165,165,163,163,166,169,170,172,174,175,175,176,182,221,202,140,92,75,76,69,68,112,171,170,170,169,167,167,166,165,164,164,167,169,171,173,175,176,177,176,212,229,184,130,98,89,86,81,75,127,174,171,171,170,168,167,167,166,165,165,169,171,173,174,177,178,178,184,236,221,168,121,96,95,89,86,83,134,175,172,171,171,169,168,169,168,165,164,171,172,174,176,178,178,177,199,241,207,150,110,97,95,88,89,88,138,176,173,173,172,171,170,169,170,168,165,172,173,175,178,179,181,178,218,238,194,138,103,93,90,87,89,89,143,178,174,174,173,174,173,170,162,152,158,173,174,176,179,180,181,185,237,230,181,132,100,89,89,89,89,85,140,179,176,175,174,174,169,157,150,124,128,174,175,178,180,182,179,206,245,216,171,125,96,86,86,85,84,79,117,180,178,177,176,170,155,156,137,113,153,176,177,179,181,183,184,232,240,205,163,121,93,83,81,82,86,82,92,170,180,178,174,150,149,149,112,138,170,177,179,180,183,181,200,245,230,195,155,116,90,81,78,84,90,89,82,134,180,173,146,138,148,123,109,165,171,178,180,181,184,183,218,243,219,185,149,113,88,79,80,85,88,91,87,90,123,135,135,143,133,108,125,173,172,179,180,182,184,186,232,236,210,182,146,111,89,80,86,87,85,88,89,86,95,125,148,140,118,117,157,174,173,180,181,183,184,197,236,227,206,181,143,113,94,84,93,93,93,96,97,95,108,138,146,131,124,160,176,175,174,180,182,184,185,216,237,224,210,185,148,122,99,89,102,106,110,108,107,103,114,137,128,128,163,180,179,175,174,181,183,185,189,234,238,226,211,186,154,128,105,95,109,117,120,111,107,104,110,119,131,169,180,180,180,176,175,182,184,185,199,239,236,223,206,174,143,125,108,101,112,120,121,113,106,103,110,129,172,184,182,181,179,178,176,182,185,183,215,235,229,215,188,152,126,115,108,107,116,118,115,110,104,128,162,178,184,183,181,181,180,178,175,183,184,202,233,225,213,191,157,128,119,113,107,108,111,110,109,107,135,179,187,185,185,183,181,181,180,178,175,183,192,234,227,210,195,172,133,121,120,115,111,109,105,104,112,148,183,189,187,186,185,183,182,182,180,178,177
0,157,158,159,159,160,161,161,161,162,161,161,160,160,160,161,161,160,160,161,161,160,160,162,162,159,160,160,159,158,160,160,160,160,161,162,162,163,162,161,162,162,162,160,161,163,166,162,163,162,162,162,162,161,162,162,161,160,161,162,161,161,162,162,162,162,163,162,161,161,163,172,156,126,141,167,155,160,167,163,164,162,162,163,163,161,161,162,162,164,163,162,163,164,163,165,163,136,134,178,150,124,102,108,120,114,150,156,123,158,165,164,164,161,162,163,163,165,164,164,164,165,166,186,171,139,106,148,157,139,120,65,112,111,97,143,93,146,171,163,164,163,163,164,164,164,165,163,169,150,141,190,169,148,119,143,174,141,125,80,129,122,93,121,99,138,172,165,166,162,163,165,165,165,165,167,191,149,111,156,181,152,126,133,189,152,129,85,142,124,85,99,104,116,178,164,167,162,164,165,165,167,163,179,186,157,132,133,192,158,126,121,189,155,126,83,144,121,75,87,115,74,166,167,167,163,165,165,166,163,178,174,173,167,144,112,178,165,123,104,186,153,116,66,116,111,68,77,124,62,121,177,166,164,166,166,165,166,181,149,168,176,150,102,156,170,121,85,161,144,103,58,91,98,62,78,128,72,97,178,166,166,166,168,164,176,173,138,151,173,148,99,130,163,116,71,127,132,99,63,77,88,55,95,137,82,100,179,169,165,166,168,166,176,169,144,138,156,134,92,103,147,109,63,97,127,96,61,79,90,65,132,147,91,103,180,170,164,165,165,170,177,158,134,111,143,126,88,84,139,107,55,76,129,92,56,100,93,90,158,144,91,111,179,168,164,165,165,166,187,172,143,101,117,129,80,74,134,112,54,72,136,93,112,153,122,97,148,149,89,121,179,169,165,166,165,168,186,175,147,113,82,111,98,70,137,124,64,80,136,138,153,147,133,107,105,137,83,124,178,168,166,166,165,171,190,178,157,131,99,89,109,87,135,133,119,151,159,156,146,135,119,109,90,94,71,122,180,168,166,167,166,171,191,183,163,140,128,118,114,133,144,154,169,170,167,157,144,130,111,97,91,76,62,119,181,169,167,167,166,171,186,185,171,153,142,133,124,128,148,160,167,167,168,158,139,126,109,91,81,76,58,140,179,171,165,166,166,168,181,182,176,165,156,139,133,129,141,157,166,165,161,153,135,122,105,88,80,64,105,175,174,173,168,170,170,164,179,182,183,173,160,143,133,132,142,160,168,165,155,147,133,119,100,85,64,93,172,172,173,172,136,139,145,137,167,183,186,174,160,147,135,132,143,164,167,160,150,143,130,111,94,75,74,164,179,177,179,179,78,80,85,72,126,186,177,169,162,151,140,128,143,161,157,147,137,130,119,101,86,71,94,139,138,141,140,138,85,85,86,74,99,182,166,161,162,154,143,127,138,157,150,136,120,109,101,92,77,78,79,78,76,72,92,122,83,84,86,80,92,176,156,159,163,155,141,127,134,155,146,127,101,89,84,77,80,87,81,79,105,145,178,177,82,82,84,82,88,173,157,159,164,151,142,132,130,148,140,115,84,75,71,79,86,87,113,151,183,184,173,158,83,82,83,82,84,177,170,160,162,148,138,135,125,135,132,102,75,70,72,78,98,161,192,199,187,180,175,157,82,84,82,82,81,174,177,168,161,146,139,140,120,127,126,95,72,68,71,119,183,198,195,189,181,186,190,176,83,83,83,83,81,165,175,173,160,146,140,140,118,119,123,91,68,58,124,189,187,190,192,180,176,183,192,192
0,197,195,195,196,197,197,196,197,197,197,200,200,197,198,198,198,199,197,198,199,196,196,197,198,197,196,195,195,197,197,197,197,198,199,199,199,199,200,200,200,201,199,197,197,198,196,199,200,197,199,198,199,198,197,197,197,197,198,199,198,198,200,200,198,200,202,200,201,203,202,199,199,199,199,200,199,199,199,199,199,199,198,197,196,199,200,200,200,201,201,200,199,193,183,197,197,197,199,200,195,195,202,203,202,203,200,199,200,200,199,198,198,201,199,200,201,202,201,199,209,190,129,116,165,165,149,174,182,164,150,187,189,188,201,201,200,201,200,199,199,201,200,200,202,201,202,201,204,197,119,53,132,166,107,94,170,154,91,89,146,118,116,157,201,201,200,199,200,202,201,201,201,198,201,195,170,190,134,78,103,151,97,64,146,128,78,64,137,110,65,78,143,205,201,200,200,202,202,203,203,198,195,182,148,161,165,107,69,129,96,54,130,121,65,68,141,106,59,82,110,153,208,200,201,203,203,204,203,200,195,182,153,125,141,109,51,115,90,40,119,138,69,70,148,121,68,97,134,95,173,206,200,204,203,203,204,202,195,179,150,115,100,81,63,107,77,31,127,132,61,87,158,143,119,113,115,92,103,211,201,204,205,205,205,202,194,184,169,140,96,80,75,86,67,46,109,108,98,153,158,148,132,107,83,72,96,209,202,205,206,206,207,203,198,190,180,165,127,84,72,66,83,95,100,134,167,173,166,150,122,104,84,61,119,212,203,206,206,207,208,204,200,196,185,177,159,112,76,76,90,99,135,175,182,181,172,151,116,96,82,57,150,214,205,207,207,207,208,204,199,204,193,188,178,144,108,106,96,115,162,181,190,194,175,144,112,91,78,64,189,211,205,207,208,208,208,206,189,208,203,199,191,169,145,136,117,123,162,177,192,198,175,138,107,89,68,105,213,208,206,208,209,209,208,209,181,200,210,208,198,181,165,155,143,134,157,180,193,187,167,127,100,90,67,168,212,208,207,209,209,209,209,213,184,185,209,213,203,190,176,164,154,146,146,171,190,179,157,118,95,82,83,205,209,208,208,209,209,208,210,211,199,166,201,213,211,197,185,174,163,147,141,154,173,164,137,109,92,67,119,216,209,208,209,209,209,209,209,211,212,167,185,210,213,196,180,174,163,148,140,147,159,149,118,98,86,62,178,212,209,210,209,209,209,210,211,210,213,189,170,211,209,185,173,174,159,152,140,131,140,136,106,89,63,114,212,211,208,211,210,210,210,212,212,211,212,202,180,208,209,189,183,187,166,155,136,119,121,126,102,77,77,192,213,211,211,212,212,210,210,212,213,212,213,207,185,211,214,199,189,197,172,152,135,115,109,116,99,63,154,215,213,213,213,213,213,210,211,212,213,212,213,208,175,208,214,206,194,192,168,149,132,117,105,111,91,70,196,215,214,214,213,213,213,210,209,211,211,212,214,208,171,207,213,206,192,183,165,146,132,121,102,105,83,89,208,209,215,214,214,214,214,209,208,209,209,212,214,205,184,206,213,205,193,180,165,149,131,121,103,97,75,107,221,211,214,214,214,214,214,210,210,209,210,211,212,198,197,206,203,202,188,177,163,149,130,119,100,91,72,126,221,212,213,213,214,214,214,211,211,210,211,213,212,195,193,202,200,200,180,170,160,149,130,114,93,85,68,148,212,210,212,212,212,213,213,212,211,210,211,214,213,192,188,199,203,199,177,159,153,146,130,110,87,80,65,173,211,211,213,213,213,213,213
10,147,147,148,148,149,149,150,150,149,149,149,149,148,147,146,145,144,143,142,140,139,138,137,136,135,134,132,132,151,151,152,152,152,152,153,153,153,152,152,152,151,150,149,147,146,145,147,138,133,139,138,137,136,135,134,133,156,156,156,157,158,157,158,158,157,157,156,155,155,154,152,150,149,149,158,137,117,137,140,138,137,137,136,135,160,161,161,162,162,162,162,161,161,161,160,160,159,157,155,154,153,154,164,138,107,134,143,141,140,139,137,136,165,165,166,166,166,166,166,165,165,166,165,164,163,161,159,158,157,158,167,137,104,134,146,144,143,141,139,138,170,170,170,170,171,171,170,170,170,170,170,168,167,166,164,162,161,162,168,135,102,135,150,148,146,144,143,141,174,174,174,174,175,175,174,174,175,175,174,172,171,170,168,167,166,167,173,142,109,138,154,152,150,148,146,144,178,179,179,179,179,179,179,179,179,179,179,177,175,174,172,171,169,173,178,149,126,141,157,156,153,151,149,146,181,181,182,182,183,183,183,182,183,183,182,181,180,178,176,175,173,177,178,162,138,126,157,159,156,154,152,150,184,184,185,186,186,186,186,185,186,186,185,184,183,182,180,178,173,166,165,166,135,107,149,162,160,157,155,153,187,187,188,189,188,188,188,188,189,189,188,187,186,185,184,182,179,164,148,146,130,95,123,161,164,161,158,157,190,190,190,191,191,191,191,191,192,192,191,190,189,187,181,175,180,178,156,132,114,94,92,142,166,165,161,161,193,192,193,194,194,194,194,194,195,195,194,191,188,186,169,146,137,150,164,155,119,89,80,117,166,167,165,165,195,195,196,197,197,197,197,197,197,197,194,180,164,172,175,149,106,87,134,149,111,78,71,113,168,171,168,167,198,198,199,199,199,199,199,199,199,197,194,178,152,147,177,169,121,66,69,96,103,84,72,119,172,174,171,169,200,200,200,201,201,201,201,201,201,198,191,184,170,145,158,176,140,84,52,72,126,114,82,125,175,177,174,171,202,202,202,202,203,202,202,203,202,196,177,165,170,147,127,158,147,98,62,84,138,134,91,126,177,179,176,174,203,203,204,204,204,204,205,205,203,196,173,140,141,133,95,123,145,105,73,94,136,132,90,124,178,180,178,176,205,205,206,206,206,206,207,207,204,194,172,137,118,119,91,101,146,131,93,100,128,110,83,132,180,181,179,177,207,207,207,208,208,208,208,208,205,197,187,159,123,116,107,102,144,152,110,96,113,90,85,152,184,183,181,179,208,208,208,208,209,209,209,209,206,201,199,176,140,121,114,117,154,154,109,91,101,82,99,171,187,184,183,181,209,209,209,209,210,210,210,211,209,201,201,188,158,133,126,145,183,174,133,106,97,80,120,183,189,186,184,182,211,211,211,211,212,212,213,213,211,201,195,190,169,147,139,157,190,187,157,122,96,82,142,190,190,188,185,183,211,211,212,212,212,214,214,215,213,203,190,187,177,164,151,158,185,180,149,115,88,91,165,193,192,189,187,185,210,211,211,212,212,214,214,214,214,208,189,183,182,174,155,150,171,162,134,101,78,111,182,194,192,190,188,186,210,211,211,212,213,214,215,215,215,212,195,178,178,171,152,139,150,145,118,89,77,142,191,193,192,189,187,186,211,212,213,214,214,215,215,216,216,215,205,184,175,164,149,135,137,138,112,82,100,174,195,193,191,189,187,183,212,213,214,214,215,215,216,216,216,216,209,192,176,161,149,138,133,134,107,81,131,191,196,194,192,189,184,163
21,142,144,146,151,154,155,155,156,157,161,161,159,160,159,159,161,160,160,159,158,158,158,158,156,154,154,152,152,144,146,149,151,154,156,158,159,160,160,159,161,160,161,163,163,162,161,161,160,161,160,158,158,157,155,154,153,146,149,151,153,156,158,160,160,161,159,195,162,135,166,166,166,165,164,164,163,163,162,161,160,159,158,157,156,149,151,153,157,159,159,161,162,164,162,208,189,111,153,170,166,167,167,167,167,166,165,165,166,162,160,160,158,151,153,156,159,161,162,163,166,168,162,183,214,123,124,174,167,169,170,169,169,168,168,168,154,165,163,163,159,153,155,158,161,163,167,166,167,168,168,168,215,177,125,162,171,171,172,172,172,167,183,172,98,159,168,165,164,154,157,159,163,165,168,168,169,170,172,164,207,215,136,139,178,174,174,173,175,167,201,158,89,164,169,167,167,156,159,162,166,169,170,170,172,173,174,170,195,224,148,118,176,176,174,176,171,183,207,133,111,177,169,169,169,157,159,164,167,169,171,172,174,174,175,175,180,225,170,116,166,179,176,177,174,204,196,115,141,181,171,171,170,160,162,166,167,171,173,173,174,175,177,177,198,208,189,112,149,186,179,176,184,203,167,97,165,177,174,175,172,161,164,167,170,173,175,176,175,176,172,191,235,205,186,120,94,180,182,177,205,198,128,111,185,175,176,176,173,163,167,169,172,174,175,176,178,177,198,199,201,215,183,153,115,141,186,190,209,189,106,155,186,177,177,177,175,165,168,171,174,175,176,178,181,184,231,202,174,222,205,195,190,128,130,175,183,146,105,186,181,181,179,177,175,167,170,173,175,177,179,182,178,195,200,204,187,137,140,210,199,138,81,123,138,95,139,192,182,184,182,179,177,169,172,176,177,181,182,185,179,200,204,140,116,70,60,149,209,156,92,87,101,82,174,187,183,184,183,181,180,169,174,176,178,182,184,186,181,207,191,140,141,106,85,100,216,190,119,73,75,96,191,186,186,184,184,181,181,172,175,177,181,183,185,186,182,213,217,189,151,109,116,104,198,218,142,81,58,119,198,187,189,187,186,184,183,174,176,179,182,184,186,188,185,226,220,161,129,113,137,137,211,227,168,104,54,126,199,188,189,188,187,186,185,175,178,181,182,184,187,190,189,226,203,154,139,146,155,172,235,222,175,122,66,125,202,188,191,189,188,187,187,176,179,182,184,187,189,191,191,228,218,178,165,162,168,206,237,213,171,125,66,127,204,190,192,191,191,190,189,175,179,183,184,186,187,191,189,228,223,191,165,177,186,222,237,213,162,130,71,127,206,191,194,193,192,192,190,175,180,183,183,185,188,192,188,224,231,200,170,178,199,234,234,213,162,125,71,137,205,192,193,192,191,191,190,177,180,183,185,187,190,192,188,221,235,201,188,182,210,237,223,203,157,120,68,144,206,191,193,194,192,191,189,178,181,183,186,189,191,195,192,216,237,209,210,198,215,237,221,194,157,113,65,142,210,194,196,196,196,193,192,178,181,183,189,191,192,194,193,205,236,221,219,212,207,227,201,183,151,102,60,143,211,195,199,196,195,197,189,178,182,185,190,192,195,197,197,196,229,229,222,208,194,208,180,166,148,95,56,153,211,197,200,202,206,196,115,181,185,189,193,194,198,199,200,198,222,234,217,187,169,183,171,160,152,87,56,184,208,200,204,197,147,92,58,158,165,169,172,176,178,182,190,171,184,230,202,166,142,160,174,154,141,64,77,209,200,204,195,114,65,60,52
4,190,190,191,191,191,190,190,189,189,189,189,188,187,187,187,186,184,184,183,182,180,181,180,179,179,178,176,175,192,192,192,192,192,191,190,190,190,190,188,188,188,186,187,187,186,186,184,183,182,182,181,180,179,179,178,176,193,194,194,194,193,192,192,192,192,191,189,189,188,187,188,188,186,186,186,183,182,182,182,180,179,179,180,178,194,195,194,195,195,194,194,193,192,192,191,191,189,190,190,189,188,186,185,184,184,183,182,181,181,181,180,179,196,196,195,196,196,195,194,193,187,181,182,186,171,163,178,182,173,171,184,187,187,184,182,183,181,182,181,180,197,197,197,197,197,196,198,201,178,159,127,138,158,124,109,156,153,117,130,185,185,185,184,184,183,182,182,180,198,199,198,198,197,196,208,209,184,147,103,88,144,115,78,127,143,106,79,111,130,148,179,184,185,183,182,181,200,200,200,199,196,202,212,191,188,134,93,86,139,107,70,120,139,101,76,56,78,82,123,185,184,184,182,182,201,200,201,200,198,204,210,179,186,139,120,87,147,137,69,115,163,125,80,53,75,73,91,183,184,185,185,182,201,200,201,201,200,204,203,166,180,173,149,94,171,162,73,116,199,145,84,63,111,100,104,185,186,186,186,184,201,201,202,202,199,212,220,192,166,166,126,90,166,142,70,111,188,139,89,91,142,136,103,173,188,187,186,185,202,202,202,203,202,219,212,187,158,130,94,72,100,92,104,169,154,140,142,135,143,132,97,129,190,188,187,185,203,203,205,204,206,216,197,170,140,116,101,86,70,66,115,188,159,148,160,151,145,134,116,100,172,189,187,187,204,203,205,203,210,229,211,186,157,113,89,81,75,78,83,145,153,143,153,143,133,156,147,104,134,191,187,187,204,204,206,205,215,231,213,193,153,108,94,84,75,76,84,108,119,130,142,107,132,175,164,123,98,185,189,188,207,207,208,206,220,231,215,193,147,108,101,86,78,85,102,116,128,150,161,147,145,175,171,127,82,161,192,189,207,208,208,206,222,229,214,177,144,116,102,90,83,112,148,172,180,184,177,177,156,140,144,116,79,129,192,189,208,208,208,208,222,229,211,177,152,114,101,111,140,176,190,192,185,181,167,156,154,120,115,103,83,103,191,189,209,209,209,210,223,227,208,180,160,134,130,155,179,196,193,190,180,170,158,143,140,117,104,99,84,91,190,190,209,209,210,201,204,217,207,188,172,146,145,172,177,199,189,183,174,165,152,136,125,110,96,89,71,118,193,191,211,212,206,127,103,124,164,186,165,142,136,165,169,182,179,173,171,155,133,122,113,96,80,67,95,180,194,193,212,216,176,84,76,72,79,90,88,86,96,128,149,161,166,166,158,138,118,111,95,78,61,83,172,197,196,195,214,210,123,77,72,72,69,44,29,45,47,55,74,100,125,148,142,127,110,93,75,58,80,169,197,196,196,196,218,167,82,75,69,69,69,56,17,33,41,40,40,38,46,69,91,97,84,67,54,89,174,200,198,198,198,197,205,111,74,68,61,62,67,61,15,23,36,39,36,34,32,31,35,46,44,47,111,184,202,200,200,199,198,197,149,79,74,64,60,60,65,53,12,19,32,35,32,30,32,31,30,28,14,82,198,204,202,201,200,200,200,198,90,72,59,80,80,48,66,36,8,21,31,31,28,29,29,28,30,23,13,30,163,209,203,203,202,201,200,199,71,63,54,77,99,58,56,18,11,24,27,27,25,26,27,28,29,18,14,9,112,211,204,204,202,201,200,200
3,167,170,170,170,170,171,171,171,171,171,171,171,170,169,167,166,164,155,163,161,161,160,158,157,154,152,150,149,171,173,173,173,173,173,174,174,174,174,175,175,173,172,171,170,170,120,146,165,165,163,161,160,158,156,154,152,174,176,177,177,178,178,178,178,178,178,179,179,178,177,175,173,162,107,118,170,168,167,165,164,162,160,157,155,179,180,181,180,181,181,182,183,183,182,181,181,181,181,179,177,161,101,99,173,172,170,169,167,165,163,161,159,183,184,184,185,186,186,186,187,187,186,185,185,184,183,182,181,160,99,92,176,175,173,172,171,169,166,164,162,186,187,187,187,188,190,189,189,189,189,188,188,188,187,186,183,161,102,87,177,177,176,175,174,172,170,167,164,189,190,191,191,191,192,192,193,192,192,193,191,192,190,188,187,169,107,82,178,181,179,177,175,175,173,170,168,192,193,194,194,194,195,195,195,195,195,195,195,194,193,192,188,166,99,83,181,183,182,180,178,178,176,173,171,194,196,197,197,197,197,197,196,196,196,197,197,197,196,195,187,160,108,89,175,186,184,183,181,180,178,176,173,196,196,197,199,199,200,200,199,199,199,200,200,199,199,197,191,172,129,89,162,188,187,186,184,183,181,178,175,197,199,199,200,200,201,202,202,202,202,202,202,201,200,199,193,175,128,82,148,191,189,187,187,184,182,180,177,200,200,201,201,201,202,203,203,203,203,203,204,202,202,199,193,181,132,88,126,193,190,189,188,187,185,182,180,202,202,202,203,203,203,204,205,205,204,205,205,205,200,183,170,159,152,115,145,175,193,192,189,188,186,184,181,203,203,203,204,204,205,206,207,206,207,207,205,196,186,179,134,97,140,146,175,117,165,192,192,190,188,186,182,204,204,205,206,207,207,207,207,208,208,201,182,139,148,174,129,92,101,146,152,88,70,136,193,192,190,187,185,206,206,207,208,208,209,209,209,209,202,189,172,127,106,144,149,109,80,126,134,90,65,72,184,194,191,189,187,206,207,207,208,209,210,209,210,208,193,178,154,142,127,111,157,118,73,83,98,101,71,63,175,195,193,191,188,207,208,208,209,210,210,210,210,205,183,152,113,128,125,95,128,122,78,66,83,121,82,59,163,196,194,191,190,207,208,208,209,211,212,213,213,208,184,162,113,80,104,65,90,114,68,68,85,127,108,65,143,197,195,193,191,206,207,208,209,211,212,213,213,213,186,157,128,98,79,62,82,84,57,83,119,140,124,72,148,198,197,195,192,207,208,208,209,210,211,212,213,214,189,168,155,122,88,86,101,97,90,147,154,140,102,85,188,197,196,194,191,208,209,209,210,211,212,213,213,214,195,163,159,134,105,99,116,162,169,175,146,112,75,139,198,196,195,193,191,208,208,209,211,212,213,213,213,215,204,161,156,138,112,101,108,169,168,154,123,86,72,181,200,199,195,178,147,208,208,209,210,211,212,213,214,215,213,167,141,130,113,106,103,151,153,133,97,69,114,196,182,157,121,79,60,169,174,178,181,186,190,194,197,199,201,186,138,131,122,116,99,124,130,109,73,76,139,106,75,57,50,45,46,105,106,107,107,108,111,111,112,112,113,121,152,133,126,110,90,90,88,67,54,71,66,51,42,44,38,37,35,106,106,107,108,107,107,113,112,111,113,131,171,157,131,102,85,82,79,59,56,58,52,49,34,38,31,30,29,107,108,108,109,108,109,114,112,113,114,144,161,161,137,115,102,90,77,54,55,51,47,40,42,28,27,25,28
8,182,184,185,185,186,187,188,188,189,189,187,187,188,188,189,189,188,188,186,184,182,180,179,179,177,177,174,172,185,186,186,187,188,189,191,191,191,191,189,191,191,190,191,190,189,188,187,186,184,182,182,181,179,177,176,174,186,188,188,190,192,192,193,193,192,197,205,169,192,192,193,193,192,191,189,187,187,185,184,183,182,180,178,176,188,189,190,191,193,194,194,195,190,209,213,143,192,196,194,194,194,192,191,190,190,188,186,185,183,183,181,179,189,190,192,193,194,195,196,198,191,218,208,142,199,195,198,199,193,195,193,191,192,188,188,188,185,185,184,182,192,193,195,196,197,197,197,200,193,225,215,149,203,213,187,191,206,188,188,195,191,198,187,180,191,186,185,184,195,196,197,198,198,199,198,201,194,232,212,147,224,241,184,162,229,184,154,196,183,212,184,154,195,187,187,185,196,198,199,199,200,200,199,202,195,234,214,149,240,246,200,155,219,195,141,192,185,201,192,142,194,191,188,186,197,198,199,200,201,202,202,205,198,232,232,185,243,251,209,152,209,201,130,194,186,171,204,151,167,194,190,188,199,200,200,202,204,205,204,205,201,237,228,231,234,241,213,145,195,196,127,200,178,131,188,184,140,172,196,189,199,200,202,204,205,205,205,203,210,240,226,229,232,226,203,138,195,186,131,199,157,123,174,204,137,167,198,190,200,201,203,205,206,207,208,201,223,241,204,207,205,213,217,142,191,180,118,167,147,127,198,212,141,184,197,193,201,204,205,206,207,208,208,203,232,246,186,180,176,184,221,140,193,184,105,170,134,148,223,196,142,197,197,193,203,205,206,207,208,208,210,205,237,247,203,162,170,173,180,171,198,171,131,178,142,199,221,165,147,205,198,199,205,207,208,208,209,210,212,208,239,248,211,172,152,169,187,211,187,183,205,209,205,201,191,145,160,200,191,169,204,206,208,209,209,211,214,208,239,250,220,186,155,165,197,209,216,235,240,227,201,173,157,133,125,126,116,102,205,206,208,208,208,211,212,208,238,251,227,203,169,161,199,228,245,243,231,216,189,156,134,117,115,111,105,101,205,206,208,210,211,212,213,208,235,251,239,217,192,175,202,237,245,235,221,200,170,140,120,113,111,104,102,102,207,209,208,212,213,212,214,210,229,251,244,225,207,183,205,238,239,225,206,178,145,121,108,102,84,75,62,51,207,210,211,211,214,213,215,213,220,251,248,230,206,188,200,231,227,207,187,153,123,105,96,88,76,64,60,47,207,210,211,210,213,214,216,218,222,251,241,221,200,186,197,214,205,184,166,130,108,103,97,82,65,54,56,52,212,214,216,216,217,217,225,188,182,251,208,203,187,177,195,198,180,159,133,104,96,98,100,96,73,51,47,50,185,187,189,191,194,195,212,121,100,240,203,201,185,184,189,182,158,132,103,74,80,90,86,97,92,61,43,44,119,118,115,117,117,118,130,119,62,157,211,201,193,183,173,165,137,109,60,45,58,78,74,84,99,77,49,39,118,117,120,119,118,117,121,132,114,114,162,183,182,165,152,138,111,78,21,26,56,69,67,71,92,87,59,39,122,121,124,124,126,124,130,129,110,116,114,123,142,142,125,121,88,41,14,51,83,87,56,62,82,92,72,46,125,122,124,125,126,124,132,131,110,108,107,99,96,99,99,99,72,25,35,76,95,87,48,56,72,89,81,58,125,122,125,127,128,127,135,127,113,110,107,103,92,84,80,75,70,60,61,62,62,52,36,46,63,80,85,67
12,174,176,178,177,177,178,179,178,179,180,180,180,181,182,181,181,181,180,180,180,180,181,179,179,179,178,178,178,177,178,179,179,180,181,181,181,181,182,182,182,182,182,182,182,182,181,181,181,182,182,181,181,181,180,180,178,179,179,180,181,182,183,183,184,184,185,183,174,179,193,174,165,178,185,184,183,184,185,184,182,182,182,182,180,180,181,183,183,184,184,183,185,184,210,195,169,148,211,189,158,140,185,185,184,186,185,185,185,184,184,183,183,182,184,185,185,185,186,186,187,190,231,214,182,138,194,210,173,117,169,178,157,167,188,187,187,187,186,186,185,184,185,186,188,188,188,188,189,196,233,229,192,148,159,221,187,141,112,168,149,117,174,189,190,190,188,187,186,185,186,187,188,188,191,191,191,199,224,232,199,157,133,217,195,158,104,143,149,104,133,192,191,192,191,190,189,186,188,189,189,190,191,192,192,200,211,224,211,167,123,190,195,159,114,93,133,106,124,195,194,193,191,191,190,187,189,191,192,193,193,193,195,191,177,201,212,189,153,139,181,146,98,66,101,102,131,195,195,194,193,194,193,190,191,193,193,194,192,198,213,167,142,162,182,186,148,99,116,113,76,89,119,92,146,196,196,196,195,195,195,190,191,194,196,194,208,226,205,143,117,127,116,145,119,91,106,134,118,155,137,90,170,197,197,198,197,196,195,192,193,193,194,207,231,213,185,141,117,85,82,99,132,125,141,177,198,182,130,91,184,200,200,199,198,198,197,192,193,195,197,223,209,185,191,160,129,89,80,87,89,93,121,171,210,217,194,142,127,185,200,200,199,199,199,193,193,195,200,223,203,172,192,172,134,100,76,91,97,98,100,173,204,220,199,162,130,119,199,201,200,200,199,194,193,195,215,221,196,163,182,180,173,136,86,97,113,113,169,207,205,195,177,167,152,109,186,202,202,201,200,194,195,198,212,231,210,175,140,177,193,153,101,97,126,170,211,213,201,186,150,150,141,109,193,203,203,202,202,195,196,198,208,232,222,193,151,141,170,184,159,112,186,219,214,205,192,176,144,123,113,123,204,205,203,203,203,196,196,199,207,233,228,204,168,160,145,151,150,172,226,227,214,198,183,163,137,106,92,159,205,206,205,204,203,196,197,199,204,228,229,214,183,175,161,140,166,219,229,227,210,184,169,144,130,98,95,194,205,205,206,206,205,196,196,197,200,219,225,224,199,184,170,165,159,220,227,222,200,167,152,132,123,93,126,206,206,206,207,206,206,195,195,196,196,209,227,228,213,194,177,174,158,210,221,208,187,151,134,132,112,86,167,206,206,206,206,206,205,195,196,198,197,194,228,229,215,196,180,172,167,192,212,191,166,139,125,134,102,95,198,206,207,206,205,205,204,196,198,199,201,193,219,217,199,187,177,172,171,176,191,174,148,132,129,122,93,140,207,207,206,206,206,206,206,196,198,199,203,196,212,207,184,176,173,173,167,168,176,164,149,127,121,106,101,191,208,208,207,206,206,206,206,196,199,200,201,199,208,204,187,184,183,176,166,162,175,169,142,112,105,92,159,207,209,208,208,208,208,208,207,197,198,200,200,199,205,210,196,193,189,180,173,159,179,160,123,100,93,116,203,208,210,208,208,208,208,208,207,191,194,197,198,199,201,218,200,200,196,184,180,150,177,144,116,97,87,173,208,209,209,209,209,208,208,207,207,131,134,135,140,143,179,223,211,206,204,190,181,146,167,138,115,91,96,189,197,200,202,204,206,207,208,207,207
1,104,87,75,71,68,63,28,66,90,103,116,123,128,134,138,140,144,148,150,152,155,157,159,161,162,164,164,164,106,85,78,70,74,56,33,71,92,105,126,133,105,132,139,142,146,150,152,154,157,159,160,163,165,166,165,166,108,84,82,70,80,49,39,74,94,113,132,145,96,113,130,125,148,152,154,157,158,161,164,166,167,167,168,168,108,85,85,69,86,42,46,79,112,141,108,149,110,105,135,95,136,153,157,158,160,163,166,168,168,169,169,169,108,87,88,69,90,35,51,82,122,145,103,150,121,107,146,100,111,155,158,160,163,166,168,169,170,171,171,171,105,88,90,70,92,30,56,85,120,152,110,144,132,108,153,117,95,155,159,162,166,168,170,171,172,172,172,173,103,91,91,73,90,28,61,88,118,157,112,145,151,119,142,127,91,146,161,165,167,168,171,172,174,173,174,174,101,94,91,78,85,27,67,107,113,165,127,140,158,125,141,147,104,127,163,166,168,170,173,173,174,175,175,175,99,96,88,82,79,29,92,142,109,169,139,126,155,129,136,157,117,107,164,166,168,171,174,175,176,176,176,177,98,97,86,89,71,33,101,139,104,164,139,114,156,132,122,156,126,101,164,168,170,172,175,176,177,177,178,178,98,99,82,94,63,38,101,141,101,157,142,107,162,141,113,162,133,98,161,169,171,174,176,177,177,179,180,180,99,102,79,100,53,42,99,150,105,154,150,104,151,146,109,166,137,97,154,169,172,174,176,177,178,180,181,181,101,104,78,106,45,47,97,162,116,137,155,109,122,142,98,150,139,97,145,171,173,175,177,178,179,180,181,181,104,107,78,108,38,50,90,157,118,115,157,113,111,137,109,147,139,98,126,171,173,175,177,178,179,181,181,181,106,107,79,107,32,54,85,153,130,102,149,133,132,135,142,152,122,94,104,171,174,175,177,179,180,180,181,180,108,107,82,103,27,58,83,155,138,101,145,149,129,122,138,147,109,80,88,165,174,176,178,179,181,181,181,181,109,105,87,101,25,60,83,151,136,138,142,147,146,138,163,168,120,76,70,151,174,176,178,180,181,182,182,182,113,104,92,96,25,63,83,154,152,153,130,133,139,142,162,159,127,93,69,128,174,177,179,180,182,182,183,183,116,102,100,93,26,65,85,164,161,139,120,116,124,133,141,145,144,118,82,99,174,178,180,181,182,182,183,183,120,100,106,86,28,65,83,155,155,128,108,118,127,140,161,161,160,142,106,85,167,176,178,179,180,181,181,182,122,96,113,76,30,64,79,137,152,124,108,121,129,146,171,175,167,155,123,90,162,174,176,176,178,179,180,180,123,92,119,67,32,63,78,111,153,132,113,114,133,148,172,182,164,148,117,93,163,172,175,176,178,178,181,202,123,89,123,60,39,64,74,90,144,137,122,112,131,147,171,178,160,137,107,86,159,169,172,174,175,175,184,210,124,90,124,100,83,95,101,105,132,146,133,118,122,142,165,171,155,131,102,83,146,154,156,158,159,161,155,157,125,90,124,107,60,66,67,68,82,140,137,128,121,134,158,162,143,124,97,77,89,90,93,94,116,154,154,148,124,92,124,105,62,65,68,70,72,101,138,134,129,126,142,151,132,115,90,78,87,88,87,94,149,156,152,144,121,94,123,103,63,66,68,69,71,74,118,137,133,122,122,132,119,103,84,80,84,85,85,126,161,157,149,142,117,91,122,98,62,64,66,67,69,70,89,138,128,114,110,111,107,96,77,80,83,83,89,154,161,153,144,139
6,187,189,192,193,194,196,197,197,197,196,196,196,196,194,193,193,192,191,190,188,187,186,185,184,184,183,181,180,189,192,194,194,195,197,197,198,198,197,197,198,197,196,195,193,193,192,191,190,188,187,187,186,187,184,182,181,191,193,195,196,197,199,199,199,199,199,199,199,199,197,196,195,196,194,193,192,191,190,188,188,186,185,184,183,193,195,196,197,199,199,200,200,200,201,200,199,199,198,198,197,196,196,195,194,194,192,190,189,187,187,185,183,193,196,199,198,200,201,202,201,201,202,202,201,201,199,198,198,197,196,196,196,195,194,191,191,188,188,186,185,195,197,200,200,201,202,202,203,202,202,202,202,201,200,199,200,199,197,197,196,196,196,193,191,188,186,187,186,197,198,201,201,203,205,204,204,203,203,203,202,202,201,199,198,195,190,183,179,179,173,166,162,159,144,166,179,199,200,202,203,203,205,205,205,205,204,200,189,183,183,180,171,155,145,131,141,153,160,148,145,142,124,166,177,200,202,203,205,205,206,206,207,206,194,182,156,148,149,151,157,148,137,126,129,140,147,134,131,126,112,128,142,200,202,205,206,207,207,208,206,201,191,178,162,148,135,106,121,125,120,103,97,105,100,98,99,105,112,130,159,202,203,206,207,208,209,205,201,191,178,172,162,157,150,100,71,67,72,77,104,132,153,166,179,189,190,192,192,203,205,207,209,208,204,195,194,176,164,166,168,168,134,88,68,58,118,167,194,201,201,200,200,200,198,196,194,204,206,209,206,200,192,188,179,169,165,161,168,166,124,78,68,67,106,198,205,204,202,201,201,200,199,197,195,205,207,205,200,193,190,182,175,171,163,161,166,160,145,109,74,66,66,133,206,205,203,202,202,201,199,197,196,204,203,199,197,191,186,176,171,167,161,157,159,160,158,127,84,65,68,71,184,206,205,203,202,201,200,198,198,177,198,199,193,185,180,171,165,160,156,155,157,161,157,122,84,68,66,62,156,207,206,204,204,202,201,201,200,84,140,194,195,183,173,164,158,155,153,152,154,160,158,133,91,64,67,70,189,208,207,206,205,205,202,201,200,73,70,106,169,176,169,164,160,157,156,157,155,161,159,147,106,68,63,68,195,209,209,207,207,205,204,202,201,66,65,52,69,138,169,163,156,155,154,157,160,158,157,141,101,71,69,61,181,211,209,208,207,206,206,204,202,64,50,44,41,57,123,148,156,157,156,151,143,139,134,113,93,77,74,70,192,213,211,209,208,206,206,204,202,48,43,40,42,41,47,100,141,153,149,140,128,120,111,97,87,84,78,64,145,215,213,211,208,207,206,205,202,41,45,44,41,36,37,41,87,140,147,134,120,110,117,106,82,82,80,68,146,215,213,211,210,208,208,206,204,42,46,47,41,33,37,34,34,81,122,115,102,94,106,86,77,85,90,133,205,215,214,213,211,209,209,207,206,44,46,41,36,31,33,28,29,30,74,84,90,130,190,177,158,177,196,212,216,216,214,214,213,211,209,208,206,42,41,33,30,29,27,25,23,22,24,94,189,217,223,222,220,219,219,217,217,216,215,214,213,211,209,208,206,42,32,28,25,27,23,21,20,21,58,202,221,221,222,221,220,219,218,217,216,215,215,213,212,211,208,207,206,36,24,25,24,23,20,18,17,20,105,224,222,222,221,221,220,219,217,216,215,215,214,213,212,211,208,207,204,32,27,25,19,22,24,14,18,21,143,224,224,223,221,221,220,220,219,217,216,215,214,213,213,212,210,206,203
8,210,211,211,211,212,210,216,184,156,214,210,210,211,209,208,206,207,206,204,203,202,201,200,199,197,196,195,193,212,212,212,211,212,212,210,161,114,212,212,212,212,212,211,210,209,208,207,206,205,204,203,201,199,198,197,195,214,213,213,214,214,215,200,134,125,223,214,214,214,213,213,212,211,211,210,208,207,206,205,203,202,200,199,198,217,215,216,217,217,212,188,106,162,228,214,216,217,217,216,214,212,213,212,211,209,208,207,205,204,203,202,200,217,217,217,217,218,213,168,92,205,222,217,217,216,218,217,215,216,216,213,212,211,210,209,208,207,205,204,201,219,219,218,219,219,213,164,101,215,221,220,223,224,219,218,217,215,217,216,214,213,212,211,211,210,207,205,203,220,220,219,220,220,211,152,107,223,222,221,197,184,225,223,220,223,217,217,215,211,215,212,212,211,209,208,206,222,222,221,222,222,204,144,100,221,225,208,176,127,158,183,146,191,226,217,219,171,196,218,213,213,211,210,208,223,223,224,223,223,208,181,113,198,225,205,195,162,103,139,133,114,189,155,172,178,143,228,214,214,213,211,210,223,224,224,224,225,211,199,137,176,224,203,211,173,117,114,139,118,172,144,115,180,141,171,229,215,214,212,211,225,225,225,225,226,217,193,160,163,192,198,215,180,122,100,118,150,177,133,99,163,173,113,174,221,215,213,212,226,228,227,226,227,220,203,195,174,173,157,198,182,134,93,93,159,165,119,84,132,190,153,106,177,226,213,212,228,229,227,228,229,221,217,189,162,153,151,166,190,137,85,88,164,151,112,68,128,203,162,93,169,228,214,213,229,230,230,228,230,222,204,163,136,119,120,135,205,170,108,95,166,136,90,53,170,204,136,97,216,219,216,215,230,230,230,230,231,220,207,182,152,114,102,86,188,217,147,99,167,126,67,95,182,183,101,155,232,217,218,217,230,231,230,231,231,214,209,195,154,107,103,97,178,206,148,106,143,131,143,150,185,141,93,212,225,220,218,218,231,231,231,232,231,209,214,196,151,119,100,116,206,163,94,121,150,162,168,132,150,101,122,236,220,222,220,217,231,232,233,233,230,213,215,189,162,126,108,129,187,177,174,197,190,168,158,112,109,72,183,233,222,223,221,218,232,232,233,233,230,214,212,196,164,121,118,168,212,213,224,210,183,164,141,101,66,141,234,224,225,223,222,221,232,231,232,233,230,206,212,204,163,126,139,200,218,218,219,197,173,151,124,68,127,236,228,227,226,224,223,221,231,231,233,233,230,208,205,200,172,135,157,207,213,227,212,183,161,139,83,111,233,228,226,225,224,224,222,219,232,232,233,234,234,214,206,198,174,136,164,202,199,205,187,166,146,98,95,224,230,225,225,225,225,223,221,218,234,233,233,234,233,214,208,201,171,146,163,198,186,182,156,139,101,82,212,235,226,227,226,226,224,224,222,219,233,233,233,234,231,215,205,191,176,162,162,193,180,164,141,97,73,199,240,228,231,230,226,225,223,222,221,223,232,232,231,234,225,212,201,196,192,172,162,183,167,142,109,73,192,241,229,232,230,229,226,226,227,228,232,209,237,239,240,243,217,209,205,204,190,172,172,181,152,114,71,176,250,231,235,233,232,236,237,229,214,198,158,108,165,170,175,177,191,217,214,207,188,173,174,165,131,88,100,220,218,222,222,223,223,200,158,125,96,83,67,67,119,120,122,115,180,223,211,196,181,176,157,145,118,80,97,127,132,136,136,136,122,91,67,67,62,61,67,61
3,167,169,171,173,174,175,177,176,176,176,176,175,175,175,176,174,173,172,170,170,168,165,164,160,159,158,156,153,168,170,172,174,175,175,178,177,177,178,177,176,176,175,175,177,175,173,171,170,168,167,165,162,160,157,157,155,169,171,173,175,175,176,177,178,178,177,178,177,175,180,156,137,178,172,172,171,169,167,165,163,161,159,158,156,170,171,173,176,175,177,178,179,178,179,178,178,177,183,154,100,170,175,172,171,170,168,165,163,161,160,158,157,171,172,175,177,178,179,179,178,179,179,179,178,178,182,154,95,158,180,173,171,170,169,167,164,162,161,160,159,171,173,176,177,179,180,181,181,181,182,182,180,178,182,150,88,155,182,174,173,171,170,168,166,164,163,161,159,173,176,178,179,181,183,183,183,184,184,184,183,181,186,165,98,147,184,175,175,173,171,170,168,166,164,162,161,175,177,179,181,182,184,185,185,185,185,185,185,183,180,154,95,137,188,176,176,175,173,171,169,168,166,164,163,176,179,181,183,184,185,187,187,186,187,187,184,188,170,133,94,127,186,179,177,176,175,173,171,169,168,166,164,177,180,183,185,186,188,189,189,189,189,189,187,193,199,174,121,150,142,170,182,177,176,174,173,170,169,167,165,178,181,184,186,188,189,190,191,191,191,192,187,148,145,176,136,167,112,129,191,177,177,176,174,172,170,169,166,179,183,186,188,189,189,191,192,193,191,186,189,151,110,131,140,147,134,85,142,186,178,178,176,174,172,169,168,181,184,187,188,189,190,191,192,193,193,144,134,177,142,106,142,146,144,108,89,160,185,177,177,174,172,171,168,182,185,188,190,190,191,193,194,196,189,158,124,146,165,111,130,134,132,128,87,146,190,179,178,175,175,172,170,183,186,189,190,191,192,194,195,196,159,169,151,119,155,123,80,75,139,136,83,160,189,181,179,177,175,173,171,184,187,189,191,192,194,194,199,182,131,129,151,97,121,115,70,65,137,141,88,170,188,182,179,178,177,174,172,184,186,190,191,193,195,195,200,181,139,96,130,79,99,130,95,94,147,140,89,173,189,183,181,179,178,175,173,185,187,190,192,194,195,197,196,165,132,99,107,97,89,133,97,134,151,126,88,180,189,184,182,181,179,176,174,185,188,191,193,196,196,198,194,177,152,112,94,97,108,153,145,154,136,92,108,196,186,186,184,182,179,176,174,186,189,191,194,195,196,199,196,184,162,125,113,103,157,192,175,144,124,78,151,198,186,187,186,182,181,177,175,187,190,192,195,196,197,199,196,181,165,136,118,113,174,177,158,140,116,88,185,192,188,187,186,183,182,178,176,186,190,192,195,196,197,199,197,172,158,140,127,124,173,170,152,136,96,113,203,190,190,188,186,184,182,179,176,185,189,192,196,197,199,200,202,177,161,150,141,128,163,165,144,119,79,162,202,191,191,190,188,186,183,180,178,186,189,193,196,197,199,201,204,190,165,160,145,125,143,145,124,87,102,203,195,193,191,191,189,186,184,181,179,186,190,194,196,197,199,201,203,198,177,161,145,130,127,130,111,72,164,204,194,195,192,190,189,186,184,182,180,187,190,194,196,198,200,200,203,200,185,158,148,144,132,126,92,98,203,196,196,195,193,191,189,187,185,183,180,186,189,193,196,197,201,202,203,191,184,168,164,150,134,117,78,130,209,195,197,197,196,192,189,188,185,184,182,185,189,193,195,199,201,202,201,182,188,177,164,146,125,104,72,155,208,195,196,195,194,191,189,187,185,183,181
16,171,173,173,176,181,184,187,189,192,194,195,197,200,201,201,202,203,204,207,205,206,207,207,207,206,205,205,206,172,173,174,176,181,184,187,190,193,194,195,198,200,201,204,206,208,208,210,211,211,209,206,207,209,208,207,207,171,173,174,176,181,186,189,191,193,195,197,200,201,199,192,185,179,176,175,180,188,203,214,210,208,208,208,208,173,174,174,177,181,186,189,192,194,193,191,186,176,168,157,145,136,133,133,124,115,121,157,193,214,207,209,210,173,173,174,177,182,185,189,187,195,170,167,159,155,156,151,142,135,124,122,124,112,95,93,100,154,213,210,209,172,173,175,180,182,189,200,201,210,177,169,155,148,153,147,140,134,128,117,119,120,103,99,97,87,157,218,208,173,174,176,181,180,194,215,212,211,187,171,151,140,142,142,140,132,132,121,117,115,105,103,101,103,92,189,216,172,174,176,180,181,189,207,215,211,183,166,139,132,132,131,137,132,128,127,119,114,109,104,100,106,92,123,223,173,174,176,180,180,195,206,220,210,181,150,129,117,122,124,130,131,126,132,128,112,110,112,103,96,106,88,187,173,175,176,180,180,195,209,221,203,173,130,115,97,110,126,134,139,134,137,134,115,108,116,100,98,108,92,122,173,175,178,181,184,189,211,221,194,152,117,113,84,69,127,138,153,150,151,140,118,112,119,100,101,107,106,84,174,175,176,181,185,184,212,216,181,140,109,100,68,41,101,132,152,174,173,152,119,114,120,102,101,107,111,98,174,175,176,180,185,186,208,207,166,134,103,91,84,65,90,114,156,183,173,152,119,116,111,102,102,104,108,108,173,174,177,181,184,187,200,189,150,127,95,99,98,96,100,90,174,178,156,145,125,117,104,103,104,105,107,110,171,173,175,179,181,186,194,178,136,106,86,105,102,97,88,106,185,164,152,141,123,105,104,104,104,108,108,111,170,173,175,179,182,188,203,171,118,106,77,94,99,116,152,180,176,150,148,132,106,97,104,106,105,108,107,108,173,173,176,180,182,189,203,165,113,134,121,138,178,206,206,185,155,146,138,114,94,99,103,108,109,109,107,106,172,173,176,180,183,190,210,162,103,179,207,207,209,208,195,175,139,129,121,116,98,100,104,107,111,110,109,109,171,173,176,181,182,191,205,150,107,195,203,203,205,206,198,162,132,107,132,135,105,104,105,107,111,110,111,111,170,172,176,180,181,191,199,126,123,206,201,203,205,207,200,160,119,113,177,152,122,112,107,108,110,110,111,112,170,173,176,179,180,192,191,109,143,207,200,202,205,206,203,169,97,147,209,164,138,119,111,108,110,111,112,114,167,170,173,179,177,202,183,99,169,204,200,202,205,208,200,179,104,167,221,173,153,131,118,111,110,110,111,113,167,171,175,176,171,216,155,107,185,192,194,196,197,199,192,176,126,150,215,176,163,143,129,118,113,113,113,115,129,129,132,133,129,158,122,110,133,132,133,137,138,138,139,138,127,124,137,137,169,153,138,128,123,117,114,116,121,120,121,123,121,121,121,120,120,122,121,121,123,120,121,122,120,119,116,115,156,163,148,136,128,123,118,116,125,126,126,127,128,127,126,125,128,129,131,129,128,128,128,127,128,126,128,119,142,173,155,143,134,129,124,121,125,125,125,126,128,126,124,127,127,127,127,127,126,127,127,125,131,135,133,129,131,174,164,149,141,136,130,126,126,126,126,126,127,126,125,127,127,127,127,126,125,127,126,125,127,126,127,127,124,171,173,160,151,144,133,127
7,126,133,138,140,144,149,154,158,160,162,164,166,168,170,171,173,174,175,175,175,175,175,175,174,173,173,172,171,127,133,138,140,144,150,154,158,161,163,165,167,169,171,172,173,175,176,176,177,176,177,177,176,175,174,173,172,129,134,138,141,145,150,155,158,162,164,166,168,171,173,174,175,176,177,178,178,178,178,178,177,177,176,175,174,129,135,138,141,146,151,155,159,163,165,167,169,172,174,175,176,177,178,179,179,179,179,179,179,178,178,177,175,131,136,139,142,147,152,156,159,163,166,169,171,173,175,177,178,178,179,179,179,180,180,180,180,180,179,178,177,132,137,141,144,148,153,157,161,164,167,170,172,175,177,178,179,180,181,181,181,181,181,181,181,181,180,179,178,133,138,143,145,149,154,158,162,165,168,172,173,176,178,180,181,182,183,183,183,183,182,182,182,182,181,180,179,133,139,143,146,150,155,161,166,167,169,173,174,175,178,178,179,180,182,182,183,184,184,183,183,183,182,182,181,133,139,143,147,154,166,178,179,172,173,180,182,183,180,174,172,177,175,174,173,175,181,184,185,184,184,183,183,134,140,146,157,175,189,195,187,171,166,175,184,187,183,171,171,180,173,165,157,153,165,172,183,186,185,184,184,138,150,169,186,195,198,197,185,165,159,167,178,183,180,166,164,172,166,160,153,147,152,155,177,186,187,186,186,165,183,195,199,199,199,196,179,158,152,163,179,185,186,176,172,170,167,171,166,156,153,155,165,175,182,186,186,198,201,202,204,201,201,200,180,143,129,135,148,153,157,162,165,165,166,170,171,165,161,161,157,163,168,182,187,207,206,205,206,204,206,203,174,129,111,112,109,102,109,126,145,151,153,154,156,156,155,154,151,156,161,181,188,209,207,206,206,205,206,195,155,117,106,108,106,92,82,102,158,174,176,175,174,171,168,167,165,167,176,186,188,207,206,205,205,206,206,189,143,106,100,108,114,110,95,106,169,188,189,190,190,190,189,188,187,187,188,188,188,209,208,207,207,209,208,185,136,101,89,88,107,120,108,107,161,189,190,191,191,191,191,190,190,189,189,189,188,206,205,201,197,198,192,162,127,104,93,81,90,112,117,125,168,190,191,192,192,192,192,192,191,190,190,190,189,195,191,184,178,178,166,140,121,110,101,92,95,124,147,164,183,190,191,192,193,193,194,193,192,191,191,191,190,177,172,166,161,158,144,126,118,112,109,102,112,158,181,186,189,190,192,193,193,193,194,193,193,193,192,191,190,154,151,144,136,132,132,138,142,133,130,132,148,177,186,187,189,191,192,192,193,193,193,193,193,192,192,191,190,126,123,118,120,130,143,154,159,159,159,162,167,173,176,177,179,180,181,181,181,181,181,181,180,179,178,178,178,101,100,102,113,122,124,125,126,127,127,128,128,129,131,131,131,131,133,133,132,131,130,130,129,127,126,126,125,88,96,101,103,106,105,104,103,103,103,103,103,104,104,103,102,102,103,103,103,103,103,102,101,99,98,98,96,95,100,105,105,106,107,105,105,105,106,106,105,105,105,104,106,107,105,104,103,103,102,102,100,99,99,98,98,98,101,106,107,107,107,106,105,106,106,106,105,105,104,105,108,109,107,107,104,102,102,101,101,100,101,109,127,98,99,105,108,108,107,107,106,107,107,107,106,106,106,105,105,105,105,105,103,102,101,101,101,102,121,150,169,97,95,103,108,109,109,108,108,108,108,108,108,108,108,107,106,104,104,104,104,103,102,100,100,112,157,171,165
6,192,193,192,192,193,193,193,192,191,191,192,191,190,190,186,186,185,183,183,181,180,177,176,175,174,172,169,166,196,196,197,198,197,197,197,196,195,196,195,193,192,190,189,188,187,186,185,183,183,181,179,177,176,174,173,170,199,200,200,199,199,200,200,199,198,198,199,197,196,195,193,191,191,189,188,187,185,183,182,180,180,177,175,173,201,202,201,201,202,201,201,202,201,201,202,200,198,199,197,195,193,192,190,189,187,187,185,183,183,181,177,175,205,204,204,204,205,206,205,204,204,203,203,204,202,200,199,198,197,194,193,192,190,189,188,186,184,184,181,179,206,206,207,206,206,207,207,206,206,207,206,205,204,204,201,200,199,198,197,195,193,191,191,189,187,185,183,182,207,207,209,209,208,209,209,209,208,209,208,207,206,205,204,202,201,200,199,198,195,193,192,191,189,187,184,182,209,210,210,211,212,212,212,211,211,211,210,210,209,207,204,205,203,203,204,203,202,199,197,197,193,188,189,186,211,211,212,212,213,213,213,213,213,213,214,214,213,214,213,210,208,200,193,186,179,180,176,162,164,176,170,186,213,212,212,212,213,214,215,214,218,217,211,203,196,193,183,171,162,160,137,131,141,149,140,129,170,209,159,168,214,214,214,215,214,214,215,218,204,174,152,150,145,151,152,148,144,142,133,128,146,127,128,123,124,141,129,176,216,217,216,217,215,218,213,194,175,159,136,139,146,150,157,150,141,111,105,93,89,92,110,114,121,148,178,195,218,218,218,218,222,203,179,174,172,154,117,95,107,107,98,97,99,92,103,136,168,186,196,201,207,207,200,195,218,218,220,223,196,167,170,171,164,150,128,87,60,34,141,202,209,208,211,219,217,211,208,206,200,200,198,198,219,221,223,196,165,170,174,172,174,174,159,106,56,47,80,122,159,211,216,211,211,208,207,206,205,203,201,200,224,219,193,175,177,180,183,182,180,179,131,69,50,53,48,42,34,82,217,214,213,212,210,208,207,204,202,200,206,177,173,185,184,182,186,170,167,161,91,51,43,47,57,61,61,36,159,226,212,214,212,209,207,206,203,200,173,173,185,188,184,183,174,159,166,162,132,102,51,31,43,49,54,24,102,229,213,213,213,210,208,207,204,202,177,180,184,188,189,180,162,164,170,169,174,134,67,43,44,36,45,110,197,218,214,213,213,211,208,207,205,204,180,181,188,192,182,166,158,161,159,159,155,101,52,46,48,45,53,224,226,215,216,214,213,212,210,208,206,204,181,184,185,178,167,160,159,157,148,140,131,89,40,32,44,38,63,216,219,217,217,214,213,211,209,208,207,205,182,178,165,159,165,163,155,148,133,130,140,126,64,34,37,51,195,224,216,214,215,213,212,210,207,204,203,203,168,157,152,159,155,141,129,124,129,142,158,143,71,49,48,53,218,221,217,214,213,212,212,208,212,215,211,200,160,157,157,147,133,123,126,131,136,138,141,101,52,40,27,97,224,218,217,216,219,217,217,221,195,161,124,85,154,151,141,130,129,128,126,112,103,95,79,40,58,97,135,219,222,228,229,221,200,200,199,170,84,51,35,40,137,124,99,101,118,121,110,86,65,54,61,125,216,236,238,229,226,168,139,101,62,70,60,48,38,52,38,29,88,67,44,58,81,82,72,59,63,108,161,196,200,196,199,202,145,65,61,39,20,38,25,32,29,27,38,15,64,38,51,86,92,88,86,86,97,103,103,96,94,96,95,78,56,53,44,48,15,28,26,21,24,21,25,16
2,201,201,200,201,201,201,200,199,198,197,195,195,194,192,191,189,188,187,186,183,184,183,182,180,179,178,176,173,203,203,203,203,204,203,202,201,201,201,198,197,195,194,193,193,192,191,189,192,187,186,184,183,181,179,178,176,207,207,208,207,207,206,204,203,203,202,201,199,199,200,196,191,183,174,135,154,186,187,189,184,184,180,180,179,209,209,209,209,208,207,207,206,206,205,203,202,196,189,184,174,151,125,84,69,134,152,143,190,185,184,181,179,211,211,210,211,211,210,209,209,208,207,207,201,184,180,175,138,97,72,58,68,103,116,81,175,189,185,185,182,213,214,213,213,212,212,211,211,211,210,207,191,189,169,124,66,52,52,47,49,63,72,55,97,197,187,186,185,215,215,215,215,215,215,213,213,212,211,199,195,174,107,62,46,39,49,46,37,44,53,46,122,201,189,188,187,217,217,217,218,218,218,216,214,215,208,198,193,135,60,55,46,48,41,44,72,70,76,110,190,197,192,191,189,220,220,221,220,219,219,218,216,217,203,200,174,98,55,54,48,45,72,141,198,191,194,204,199,196,195,193,191,223,223,223,223,222,221,220,220,212,201,193,133,63,45,55,45,138,209,212,206,207,204,200,200,199,196,194,192,223,223,223,225,224,223,224,217,198,211,187,115,71,55,51,66,212,211,206,206,207,206,203,202,200,199,197,194,225,224,225,225,224,224,227,198,206,217,175,114,82,63,37,149,221,208,210,209,209,207,204,204,202,201,199,196,226,226,228,227,225,229,218,194,219,204,163,116,78,52,85,220,214,215,214,213,211,209,206,206,203,201,200,199,227,227,229,230,228,231,201,200,227,194,147,101,67,45,125,232,213,217,217,215,211,209,208,207,204,203,202,200,229,229,230,230,230,225,190,217,226,176,137,99,67,43,159,232,216,217,217,215,213,210,207,209,210,207,202,201,232,231,231,229,235,209,200,233,212,155,132,96,60,53,211,225,219,219,218,216,213,214,215,205,189,190,209,202,232,232,232,233,232,195,223,228,186,148,141,92,60,46,163,236,222,219,216,216,223,206,165,140,131,119,149,206,232,232,232,238,215,206,231,208,165,161,136,85,52,56,67,128,219,224,224,220,179,121,113,128,129,100,116,205,234,234,234,235,205,218,221,194,163,158,123,74,48,60,76,64,125,228,188,141,106,103,132,128,92,139,205,207,236,235,239,223,208,217,212,184,161,148,103,61,55,75,79,81,77,99,94,102,118,119,109,80,155,217,210,206,238,237,237,211,215,214,202,172,154,131,91,58,74,89,87,86,86,74,95,109,102,86,74,156,223,211,210,209,238,241,225,216,219,211,191,167,140,119,85,64,89,89,87,86,83,78,83,77,93,150,198,222,214,216,213,211,240,233,218,222,219,208,189,150,121,117,80,73,88,86,82,80,69,52,70,147,209,232,222,215,217,216,215,212,241,218,218,208,212,203,169,132,115,100,68,77,83,85,79,56,73,124,197,234,226,222,221,221,219,217,216,213,225,211,199,204,200,181,143,104,89,72,71,75,75,67,46,98,210,240,232,225,226,224,224,222,219,217,216,214,215,207,188,197,183,169,128,90,82,72,62,47,51,73,150,234,235,229,228,227,227,225,224,223,221,217,216,216,215,199,190,198,190,174,112,88,81,63,86,144,185,226,246,234,231,232,229,228,227,225,225,224,222,219,217,216,210,195,189,197,188,163,97,85,69,93,222,250,245,236,230,233,232,230,230,229,226,224,224,223,220,219,217,215
6,186,188,190,191,191,191,192,192,191,191,191,189,189,188,188,188,187,186,184,183,182,182,181,181,180,178,175,174,188,189,191,193,194,194,194,193,193,193,193,193,191,189,188,189,187,186,185,185,185,185,184,182,181,179,177,175,188,190,192,194,195,195,196,195,195,194,194,193,192,191,190,190,189,188,187,186,186,185,183,182,181,181,179,177,189,192,194,195,196,197,197,196,198,196,195,196,194,193,192,191,191,191,188,187,187,186,185,183,183,181,179,179,191,193,194,196,198,199,198,197,199,198,197,197,197,195,193,193,194,192,189,185,185,185,185,181,181,178,174,178,192,194,196,199,200,200,200,200,200,200,200,199,197,194,188,184,179,180,176,155,160,172,171,157,168,163,178,202,194,196,197,199,201,201,200,201,199,198,187,179,181,183,177,180,182,182,171,167,160,178,177,161,166,164,167,190,194,196,199,201,201,202,201,200,204,203,179,163,171,181,183,187,188,186,170,152,152,149,147,137,132,131,124,132,196,198,199,200,202,203,202,200,214,211,186,173,163,164,165,161,157,150,141,129,106,103,94,113,139,147,164,176,198,199,200,201,202,203,204,203,223,216,202,185,167,155,150,143,137,126,111,92,67,56,72,175,193,190,189,186,199,200,201,202,204,205,203,213,226,222,210,177,146,141,148,154,151,145,134,127,121,86,152,195,190,189,187,186,199,201,203,202,205,206,203,223,230,225,199,149,128,136,140,151,155,151,141,133,130,98,163,196,193,190,188,186,200,203,205,205,206,205,206,231,227,221,173,137,141,136,128,134,149,137,131,129,116,86,171,196,194,191,189,187,201,203,206,206,207,201,216,229,224,222,192,175,156,140,119,127,151,143,139,138,117,108,196,196,194,192,190,188,202,204,205,207,206,205,226,226,225,227,223,207,164,138,146,153,152,142,131,120,117,103,181,198,195,193,190,189,203,206,206,208,201,216,227,227,227,223,222,210,155,129,136,140,142,136,121,113,109,89,180,198,195,194,192,190,202,205,206,205,202,221,226,228,223,217,214,194,154,134,126,118,124,130,127,118,97,116,198,197,195,195,192,189,201,202,205,193,210,223,225,225,217,211,205,201,183,161,125,96,110,129,124,117,91,156,201,195,196,193,191,191,201,205,198,189,220,225,225,220,219,218,209,204,210,186,137,113,130,145,131,112,99,109,198,196,195,194,195,177,203,206,189,204,220,223,221,220,222,214,205,212,209,173,125,113,120,118,108,97,86,108,199,200,200,192,140,80,204,195,197,215,219,218,215,211,206,203,203,207,188,149,119,115,111,104,96,91,99,175,203,187,141,89,51,42,200,190,208,214,217,210,202,197,191,194,191,176,153,129,116,104,94,131,141,160,181,164,120,73,45,40,38,38,190,198,210,213,212,202,191,187,185,182,177,155,135,122,124,112,138,167,140,117,84,57,31,24,30,36,34,32,180,208,209,209,199,188,177,172,180,174,164,151,140,122,99,72,65,48,37,35,35,38,15,19,25,31,29,30,194,211,209,205,195,185,170,164,163,155,143,133,112,85,57,38,27,30,28,32,36,29,7,14,20,26,28,26,207,210,207,199,188,169,151,149,139,123,109,94,71,46,36,42,22,19,23,28,33,24,4,10,17,25,26,23,212,209,205,200,174,143,140,135,126,109,79,56,40,30,29,40,27,13,23,25,27,18,2,9,18,26,23,24,211,208,203,193,147,134,151,140,117,91,49,38,27,25,25,35,28,16,23,16,23,13,1,10,18,25,20,20
15,123,122,125,123,128,129,130,133,135,143,155,164,172,176,181,186,188,191,193,198,200,204,205,207,209,211,213,215,123,123,124,122,126,128,125,131,135,145,155,163,171,177,182,187,188,191,194,197,199,204,207,208,210,213,214,216,124,123,124,123,126,126,142,130,131,145,156,165,174,178,183,188,189,191,195,200,201,205,207,209,212,215,218,218,124,123,123,126,112,163,219,177,149,144,151,164,174,182,186,190,191,191,193,199,202,205,208,211,212,215,216,217,125,123,122,126,114,166,223,209,197,184,168,169,164,175,184,190,192,193,197,200,203,205,208,212,214,214,216,217,124,124,124,125,125,127,176,179,175,191,190,191,179,170,166,171,176,182,189,198,206,211,212,211,214,215,218,219,123,124,123,124,127,126,130,143,144,161,171,177,195,190,181,177,175,177,176,168,172,179,196,219,214,218,219,221,123,124,123,124,125,128,129,131,137,146,150,145,172,180,179,173,176,190,199,184,162,147,128,186,222,216,220,221,124,125,124,125,127,130,132,132,136,146,156,158,164,168,166,161,156,190,198,200,179,169,137,119,204,223,218,223,122,124,124,125,126,129,131,130,135,148,157,167,175,178,177,170,170,202,199,200,189,185,165,140,134,216,223,222,123,124,124,124,126,127,130,132,136,145,153,166,173,183,190,182,213,212,188,193,207,192,186,169,130,139,222,223,124,125,125,124,127,127,130,132,136,145,173,173,174,173,180,208,219,204,161,196,207,191,210,181,149,115,154,232,124,125,125,125,127,127,131,133,128,173,211,188,195,189,169,183,181,152,133,188,188,186,219,187,153,132,111,178,124,124,124,124,124,127,128,132,131,168,189,196,219,218,181,151,163,142,110,177,168,193,212,188,160,138,122,118,123,122,122,123,125,128,128,131,134,146,163,178,212,211,174,174,182,172,163,164,169,179,186,178,158,137,122,120,122,122,122,122,123,127,127,129,135,147,158,172,183,169,167,188,186,179,185,189,174,142,138,154,145,133,121,118,121,120,120,122,123,123,124,126,134,148,158,161,174,182,154,173,187,190,195,197,176,137,121,131,131,128,129,120,119,119,119,121,122,122,124,125,133,146,157,162,185,243,164,121,125,176,186,190,169,133,125,130,128,130,132,127,118,118,119,119,120,122,124,125,133,147,156,161,183,232,169,114,75,107,164,177,154,134,133,132,129,130,134,131,119,118,119,119,119,121,123,124,133,147,156,160,179,222,158,103,124,91,116,162,134,127,130,135,136,133,134,130,118,118,118,118,120,121,123,124,131,146,156,160,179,221,148,119,137,116,130,153,166,146,145,144,141,137,132,129,116,116,116,116,118,120,121,122,130,143,153,163,173,227,133,133,161,139,177,136,176,158,151,143,136,133,131,126,113,113,114,114,115,117,120,120,129,142,152,159,181,236,116,139,220,107,196,184,152,127,130,129,129,129,129,129,117,114,116,117,116,115,118,118,126,140,151,157,178,192,108,157,221,104,180,212,157,155,161,107,110,115,112,114,169,167,165,162,159,159,161,161,163,163,165,166,176,156,136,185,175,139,189,192,196,202,201,138,103,106,105,108,139,137,136,134,135,136,139,142,138,137,135,132,135,134,140,143,141,141,143,143,144,140,143,141,117,117,126,131,138,137,137,136,136,136,137,135,135,137,136,133,134,137,137,137,136,137,140,138,137,135,136,138,138,144,149,142,140,139,139,139,137,139,140,137,138,140,143,141,140,143,140,139,141,141,143,142,142,141,142,145,142,145,178,152
3,159,159,161,163,165,164,165,165,164,165,165,164,164,163,161,160,159,157,157,154,152,152,150,148,146,145,143,143,166,166,167,167,170,170,170,168,168,169,168,168,169,166,165,164,164,163,159,158,156,153,150,150,149,146,144,142,172,173,172,173,176,175,175,174,173,175,174,172,172,171,167,176,145,147,167,161,160,157,154,154,151,148,148,145,176,178,178,180,181,180,180,180,179,179,179,178,176,175,171,185,131,100,177,165,164,161,160,158,155,154,151,149,184,184,184,185,185,186,186,185,186,185,184,183,182,180,179,184,139,80,173,171,169,167,166,162,159,158,155,152,188,189,189,190,191,191,189,190,192,190,188,187,186,184,183,186,140,65,170,176,173,171,169,167,163,159,158,155,193,194,194,194,195,195,194,195,195,195,195,193,190,189,188,188,141,64,169,183,177,176,174,171,168,165,162,159,199,198,198,198,199,199,199,199,200,200,199,197,196,195,192,199,156,67,163,190,181,180,177,175,172,169,167,165,202,203,203,204,205,204,203,203,204,204,203,202,200,199,195,204,145,58,167,192,185,185,182,179,176,174,171,168,206,207,207,209,208,209,208,207,207,205,206,205,203,203,200,192,140,74,169,196,188,188,186,182,180,177,174,171,212,212,212,212,212,213,213,212,211,210,210,209,207,206,203,192,146,78,153,204,190,190,188,187,184,181,178,175,214,214,214,214,214,214,213,215,214,214,214,212,210,210,209,213,148,55,140,209,192,194,191,189,186,184,181,178,216,217,218,218,217,217,216,217,218,217,216,219,219,210,188,170,180,111,129,225,198,196,195,192,190,186,184,182,219,220,221,221,221,221,221,220,220,219,221,201,186,207,162,71,154,165,77,155,199,203,195,196,193,189,187,184,221,222,222,222,223,223,223,223,224,220,212,174,97,156,176,92,96,151,71,58,93,192,203,197,196,192,189,186,223,223,221,224,225,224,226,226,226,216,202,176,136,110,183,127,64,133,107,83,57,144,215,198,198,196,193,188,224,225,225,227,227,227,228,229,221,206,144,138,163,109,147,138,57,64,109,92,41,125,218,201,200,197,196,191,227,228,228,228,228,227,229,231,214,198,153,83,132,88,98,147,61,54,105,137,60,99,220,202,202,200,196,193,229,229,230,230,229,231,231,231,218,194,148,75,95,45,86,111,36,67,96,170,99,72,213,205,204,202,198,196,230,231,232,231,232,232,232,233,223,188,170,129,74,55,104,84,43,125,171,167,105,70,217,210,206,203,201,198,231,232,232,233,233,233,234,236,228,192,188,149,94,90,125,106,135,211,177,136,55,142,226,210,209,206,202,200,232,233,234,234,235,236,237,238,233,187,186,160,117,93,131,202,212,196,142,90,64,216,217,213,211,207,203,201,232,234,236,237,237,237,238,238,241,191,165,152,120,101,119,196,183,160,114,52,118,234,213,214,213,210,205,202,231,233,233,234,237,237,237,236,242,210,154,154,132,117,115,175,169,135,80,44,194,226,218,216,213,210,206,201,230,234,233,234,237,238,237,237,238,234,166,151,149,126,98,135,130,94,35,145,232,217,217,213,210,207,211,212,231,234,235,236,237,238,238,238,238,236,194,168,149,110,82,93,86,32,115,237,218,218,215,216,221,215,183,125,234,235,236,237,237,238,239,239,243,218,196,186,151,117,99,91,73,55,220,228,228,228,223,204,146,91,46,23,233,234,236,237,237,239,239,239,243,202,183,193,163,146,119,96,44,117,241,220,191,146,108,69,34,28,22,21
15,36,41,44,45,51,52,57,73,85,95,104,109,117,119,122,126,129,133,137,143,145,146,150,152,155,156,157,158,35,39,38,37,44,49,59,73,85,95,104,111,118,120,123,125,131,135,138,143,146,148,152,156,158,156,157,158,39,30,74,117,64,47,54,71,87,98,104,112,119,120,122,125,131,135,138,143,147,148,152,156,158,155,158,160,42,19,123,170,138,109,86,75,83,89,105,116,121,123,122,125,131,136,141,144,150,151,153,154,156,156,161,162,39,30,67,138,124,120,130,117,111,94,92,94,104,110,118,127,136,142,144,145,147,152,153,155,158,159,162,164,36,41,34,65,79,72,99,112,119,125,115,101,99,96,101,102,104,115,126,140,152,150,154,155,160,161,163,165,37,38,42,44,49,53,70,76,75,111,116,113,105,106,118,122,103,80,70,57,131,159,155,160,162,162,163,166,37,40,44,47,47,51,63,71,63,82,95,92,86,82,114,134,136,103,89,48,37,144,161,159,162,164,166,169,37,38,41,45,47,49,65,80,87,94,94,93,85,78,125,128,134,112,113,87,49,57,156,161,162,166,168,170,36,38,40,43,47,49,65,77,86,100,111,114,105,127,148,130,124,139,123,111,91,45,63,162,163,167,169,171,35,37,39,43,46,52,63,76,97,99,105,115,128,162,153,97,123,144,117,139,112,73,25,75,171,163,169,170,35,37,38,43,48,48,69,131,110,112,106,93,135,134,97,70,105,136,107,156,125,77,50,17,108,175,167,171,36,37,40,43,47,44,84,143,130,147,152,115,76,87,55,10,92,111,108,154,127,83,56,34,25,132,176,173,35,36,41,44,46,48,66,96,107,152,165,119,87,103,94,63,86,96,117,126,116,86,60,38,29,30,144,178,34,35,38,40,43,49,62,79,102,124,121,95,109,116,103,111,112,103,73,64,86,73,56,34,32,15,49,164,34,35,35,36,41,47,63,78,88,98,88,75,105,118,112,120,130,111,65,33,50,53,46,44,33,32,16,68,32,35,35,37,40,45,62,76,86,94,170,92,54,69,111,119,123,103,58,36,44,42,42,48,41,34,32,16,29,30,32,38,38,44,60,76,86,91,185,126,46,0,26,93,111,95,58,43,46,43,45,50,45,39,35,26,29,30,31,35,35,44,62,74,86,91,163,116,32,6,0,18,88,58,41,41,48,50,48,50,45,43,38,29,28,30,32,34,34,44,61,74,89,91,163,114,20,61,18,14,62,78,52,49,56,59,54,49,44,42,39,35,26,27,30,33,33,42,57,71,85,88,152,110,14,118,29,85,42,91,85,74,64,54,51,46,40,38,36,38,26,27,27,32,32,39,55,69,87,79,172,107,1,131,94,47,118,78,63,47,50,46,44,44,43,44,42,38,24,23,21,25,23,34,51,66,82,81,162,84,7,117,144,7,130,113,38,71,26,23,29,26,27,33,38,43,86,80,78,82,81,84,87,91,96,96,111,37,57,129,100,43,125,132,121,140,65,10,10,9,11,15,25,35,54,53,54,58,62,60,57,54,49,48,51,35,55,62,57,55,65,64,66,65,64,31,17,27,37,43,46,48,51,53,52,52,51,50,52,50,43,46,50,56,54,51,53,55,52,51,51,51,52,53,52,63,55,66,62,69,57,54,56,59,55,55,57,57,55,55,60,57,56,60,63,59,58,58,60,60,62,63,56,96,77,78,70,82,59,56,55,56,56,57,60,59,61,60,59,56,56,58,59,59,59,59,58,58,58,63,50,97,120,96,93,95
16,179,181,181,184,189,193,196,199,201,204,205,207,210,212,212,213,214,215,218,216,217,218,218,218,217,216,216,217,180,182,182,184,189,194,197,199,202,204,205,208,210,212,215,217,219,219,221,223,222,220,217,218,220,219,218,218,180,181,182,184,189,195,198,200,203,205,207,211,212,210,202,194,188,184,184,189,198,214,225,222,219,219,219,219,181,182,182,186,190,195,198,202,204,203,200,195,185,175,163,151,141,138,138,128,119,125,163,202,225,218,220,221,181,181,182,186,191,194,198,196,205,178,175,166,161,163,157,148,140,128,126,128,115,97,95,102,160,225,221,220,180,181,183,189,191,198,210,211,221,186,177,162,154,160,153,145,139,132,120,123,124,106,102,99,88,164,230,219,182,182,184,190,189,204,227,224,222,196,179,157,146,148,148,146,136,137,125,120,118,107,106,103,106,94,198,228,181,182,185,189,190,198,218,226,223,192,174,144,137,137,136,142,137,132,131,123,118,111,107,102,108,94,127,235,182,183,184,189,189,205,217,232,221,190,157,133,120,126,128,135,135,131,136,132,115,113,115,106,98,109,89,196,181,183,185,189,189,205,221,233,214,181,134,118,99,113,130,139,144,139,142,139,118,111,119,102,100,111,93,126,181,183,186,189,193,199,223,233,204,159,121,117,85,68,131,143,160,157,157,145,122,115,123,102,103,110,109,85,182,183,185,190,194,193,224,228,190,146,112,102,67,38,104,137,158,182,181,159,123,118,124,104,103,110,114,100,183,183,184,189,194,195,219,218,173,139,106,93,84,64,91,117,163,192,182,159,122,119,114,104,104,106,111,111,181,182,185,190,193,196,210,199,157,132,97,101,100,97,102,92,182,187,163,151,129,120,107,106,107,108,110,113,179,181,183,187,190,195,204,187,141,109,88,108,105,99,90,109,195,171,158,147,127,108,107,107,106,110,111,114,178,181,183,188,191,197,214,179,122,108,78,95,101,120,159,188,185,157,155,136,109,99,106,109,107,110,110,111,181,181,185,189,191,199,214,173,116,139,125,144,186,217,217,194,162,152,143,117,96,101,106,111,112,111,110,109,180,181,184,189,192,200,221,169,105,187,218,218,220,219,205,183,145,134,125,119,100,102,107,109,114,113,112,112,179,181,185,190,191,201,216,156,110,205,214,213,216,217,208,169,137,110,137,140,108,107,107,110,114,113,114,114,178,180,184,188,190,201,210,130,128,217,212,213,215,218,210,168,123,116,185,158,126,115,109,111,113,113,115,115,178,181,185,187,189,201,200,112,149,217,210,213,216,217,213,177,99,153,220,171,144,123,114,110,112,115,116,118,175,178,181,188,186,212,192,101,177,214,211,213,216,219,211,188,107,175,234,181,159,136,122,114,113,113,114,116,175,179,183,185,179,227,161,109,195,202,204,206,207,209,202,185,131,156,227,184,171,149,133,121,117,116,116,119,134,134,136,138,133,164,126,114,138,137,138,142,143,144,144,144,132,128,142,143,177,159,144,133,127,121,118,120,125,124,124,127,125,124,125,123,124,126,125,125,127,124,125,126,124,123,120,118,163,170,154,141,132,127,122,120,129,130,131,131,132,132,131,130,132,134,135,133,132,133,132,132,132,131,132,123,148,181,161,148,139,134,128,125,129,129,130,130,132,130,129,131,132,131,132,131,130,131,131,130,135,140,138,133,136,182,172,155,146,142,135,130,131,131,130,130,131,130,130,132,131,131,131,130,130,132,131,130,131,130,131,132,128,179,181,167,157,150,138,131
2,197,199,199,199,199,199,199,199,198,198,198,193,199,195,196,196,194,194,193,191,191,190,188,186,186,185,182,181,201,201,201,201,201,201,201,200,200,200,196,210,214,152,173,202,198,198,196,194,194,193,191,190,189,187,185,184,204,203,204,205,205,204,203,203,201,199,226,221,165,122,124,182,189,150,191,200,196,195,195,193,192,190,187,187,206,206,205,206,207,206,207,203,208,235,229,155,124,115,125,152,158,116,167,200,196,196,195,195,194,193,190,189,206,208,206,207,208,207,205,217,253,237,179,126,122,114,106,116,119,114,109,167,207,197,199,196,195,194,193,191,208,209,208,209,208,210,203,244,244,176,133,113,115,118,113,92,110,123,112,113,165,208,199,198,196,195,193,193,208,210,210,212,212,207,220,255,203,131,108,94,98,107,108,108,110,111,110,99,162,208,199,200,198,197,196,195,211,213,212,214,213,211,250,236,169,129,113,104,91,110,130,135,114,127,140,172,205,202,202,201,200,200,198,196,214,214,214,215,209,236,249,189,137,114,118,115,107,123,120,124,176,203,208,211,207,205,203,202,202,201,200,198,215,215,216,212,227,255,233,169,127,105,114,111,121,113,143,201,216,212,210,208,209,207,206,204,204,203,201,200,216,217,215,217,252,253,216,163,135,124,110,113,124,153,225,216,213,214,213,213,211,209,208,207,206,204,202,201,218,219,215,229,255,242,193,152,133,133,120,117,119,181,226,214,215,215,216,213,212,211,209,209,208,206,205,203,220,222,217,246,255,232,179,141,131,131,128,116,134,218,220,218,215,216,215,215,214,213,211,210,209,208,206,205,223,219,229,255,252,216,168,141,128,127,128,119,182,230,219,220,218,216,217,216,215,214,213,212,210,209,208,208,224,220,248,255,243,196,153,136,132,125,124,127,215,224,222,222,221,219,218,217,216,216,214,213,213,211,209,209,222,233,255,254,229,182,145,133,131,131,119,150,233,221,224,223,222,221,220,219,217,217,218,217,213,212,210,209,222,248,255,250,212,165,136,132,129,130,104,176,237,223,225,225,224,222,221,221,221,217,213,207,214,216,212,211,234,255,255,238,189,149,136,128,121,117,104,138,231,230,223,225,223,224,223,223,210,192,187,177,153,210,215,214,250,255,252,217,177,152,139,123,111,112,118,111,148,223,234,229,229,228,226,199,193,187,170,139,152,213,217,215,252,254,242,205,180,158,139,114,106,118,117,127,129,140,185,213,203,194,195,188,198,169,145,187,221,219,216,215,255,255,245,206,176,154,132,113,114,131,135,149,158,145,138,166,174,187,194,198,186,143,203,231,220,219,219,218,195,204,213,194,172,146,127,118,125,140,155,159,167,167,158,182,185,190,185,166,139,174,231,221,222,221,220,219,90,90,82,83,98,95,97,109,132,147,157,163,169,172,159,175,163,156,163,177,199,226,226,225,224,223,220,219,97,87,67,63,71,67,58,63,94,144,155,161,166,160,136,143,174,207,224,235,234,227,227,226,225,223,223,221,92,82,67,69,75,66,60,55,50,83,150,155,145,142,176,216,237,238,233,231,232,231,229,227,227,226,225,223,87,78,69,70,69,62,56,52,54,48,94,144,171,221,241,239,234,233,233,233,231,230,230,228,227,227,225,224,82,77,69,71,67,60,53,51,56,46,86,225,241,238,234,235,236,237,235,234,234,232,231,230,228,228,226,225,82,75,68,69,66,58,52,51,58,43,182,254,233,237,237,237,237,236,235,235,235,233,233,234,231,229,228,227
0,172,173,176,178,180,182,183,185,186,186,187,186,186,186,186,187,187,186,186,185,185,185,184,184,184,184,182,181,173,174,177,179,181,183,185,186,187,187,188,188,189,188,188,188,188,187,187,187,186,186,185,185,185,184,183,182,174,175,178,180,182,185,186,187,187,188,189,190,191,190,190,190,190,189,189,188,187,187,186,186,185,184,184,183,176,177,180,182,184,186,188,188,189,190,191,191,191,191,191,190,188,188,190,189,188,188,188,187,187,186,185,185,177,179,181,183,185,188,189,190,191,192,192,192,186,175,181,187,171,164,182,189,188,186,185,188,188,187,186,186,179,180,182,184,187,188,190,191,192,184,183,199,184,151,149,182,161,130,150,171,177,174,164,185,190,188,187,187,180,182,183,186,188,189,191,194,197,176,158,185,192,157,137,179,167,126,105,124,154,171,145,171,190,190,189,189,180,182,184,187,189,190,191,200,209,193,159,154,187,162,136,178,170,127,98,125,148,173,149,147,180,190,191,190,180,183,186,188,190,191,195,206,205,200,168,131,165,161,133,176,171,124,109,137,133,168,164,138,151,181,191,191,182,184,186,188,190,192,199,203,185,190,160,113,141,156,131,169,161,113,108,133,115,157,177,151,125,153,190,192,184,186,188,189,190,193,205,204,177,179,142,102,132,142,119,148,140,101,102,126,118,171,193,161,117,139,188,192,185,187,188,190,192,196,210,202,177,171,132,99,124,125,103,124,122,94,103,126,134,187,192,153,114,155,192,194,186,187,189,192,193,201,215,197,165,152,130,98,116,118,97,116,115,95,128,147,161,188,173,131,121,177,195,194,187,188,191,194,195,203,221,205,172,138,112,89,118,126,100,124,133,132,161,165,166,171,144,111,141,192,196,195,187,189,192,194,195,206,222,207,183,152,116,96,113,120,104,133,171,182,178,165,148,139,118,103,164,198,198,197,188,190,193,195,197,211,223,207,188,168,138,109,111,129,146,179,201,195,175,156,131,111,98,109,179,200,200,199,190,191,194,196,198,213,224,209,190,174,152,120,115,144,184,210,209,191,165,145,118,95,89,135,193,201,200,200,190,192,194,196,197,211,224,211,193,179,163,133,123,150,197,215,206,181,154,131,105,85,105,174,201,201,201,201,191,193,195,197,197,208,223,214,196,181,168,144,129,156,203,213,195,168,140,115,92,91,148,196,202,202,202,201,192,194,195,198,198,206,221,215,199,182,166,145,132,164,201,201,181,156,128,101,86,126,188,204,204,202,202,202,192,194,196,199,199,206,221,214,199,181,162,143,138,170,187,180,166,145,115,89,102,171,203,206,205,204,203,203,192,194,196,198,199,207,223,214,202,182,159,144,149,170,166,160,149,127,100,92,147,199,207,207,206,205,204,203,192,194,196,198,199,215,226,217,207,184,161,150,158,164,151,146,132,109,92,129,190,208,208,207,207,206,205,204,192,195,197,197,204,224,223,216,206,180,160,154,157,152,141,134,116,98,118,180,208,209,208,208,207,207,205,204,192,194,196,196,212,220,209,204,196,170,154,154,149,139,130,118,101,111,169,205,210,209,208,208,208,207,206,205,191,193,194,195,216,211,191,180,174,157,149,149,138,128,118,102,104,156,199,209,210,209,209,208,207,207,206,205,192,194,191,199,218,202,177,160,151,141,147,145,124,117,107,94,135,193,209,210,210,210,209,208,207,207,206,206,192,193,190,208,218,194,166,152,140,130,145,138,114,111,96,101,168,205,210,210,210,210,209,208,207,207,207,207
20,130,133,138,141,144,147,149,150,151,153,155,153,151,152,152,148,151,134,146,148,145,144,143,141,139,138,138,136,131,136,141,144,146,149,152,153,154,155,156,156,155,154,152,155,169,91,106,153,148,145,145,142,142,142,140,138,132,137,141,145,148,151,153,155,156,157,158,157,156,156,153,164,169,85,67,124,101,148,146,145,145,144,142,140,135,140,143,146,150,154,155,157,158,159,160,158,158,158,154,169,162,77,72,137,55,133,153,147,146,145,144,142,137,141,146,149,152,155,157,161,162,160,162,163,161,160,155,182,169,80,78,139,59,121,157,149,150,147,146,145,138,143,146,150,153,157,159,162,162,161,163,164,163,163,158,193,162,80,89,140,67,122,160,151,151,149,148,145,140,145,148,152,155,158,161,163,162,164,164,164,164,162,167,184,134,66,121,154,76,114,164,152,153,151,148,147,142,148,152,154,157,159,161,164,164,165,166,166,170,167,179,179,124,47,129,143,69,114,165,154,154,153,151,148,144,149,154,156,158,162,163,167,166,168,169,168,146,129,190,181,116,47,140,135,58,121,166,155,156,155,154,150,146,151,154,157,161,163,165,167,170,171,168,179,140,62,163,156,65,75,167,131,60,132,168,158,157,156,155,153,148,152,156,159,162,165,166,168,172,172,179,194,154,101,106,66,20,98,152,113,53,146,167,159,158,158,156,154,149,153,156,161,164,167,170,171,172,169,139,161,177,140,82,53,35,93,109,76,54,164,164,162,162,161,159,156,151,155,159,163,166,169,171,171,188,182,107,109,183,127,114,106,97,103,68,47,87,178,164,165,163,162,160,157,152,156,162,164,168,171,171,180,205,193,133,114,150,140,135,119,131,115,45,25,128,177,165,165,164,163,161,159,154,158,164,165,170,173,170,194,190,198,134,104,169,151,115,113,115,93,61,18,138,178,167,167,165,163,163,162,155,158,164,167,170,173,173,211,182,168,150,78,132,120,36,41,114,105,84,26,132,181,168,169,167,164,165,162,156,161,165,169,173,173,182,203,159,150,151,55,24,28,2,2,110,146,100,46,69,182,170,170,169,167,164,163,158,162,165,170,174,176,181,215,198,174,134,101,51,3,50,134,146,157,119,67,23,142,179,170,170,169,166,165,158,163,168,171,174,176,184,217,205,170,126,146,72,38,158,194,171,137,113,70,33,128,184,170,171,170,169,164,159,165,169,172,175,177,185,217,208,161,123,108,54,114,198,170,144,129,78,68,35,156,179,172,173,171,169,165,161,165,171,173,176,178,185,215,202,161,156,95,115,205,183,142,114,128,73,41,53,183,175,174,174,173,170,168,162,167,172,175,180,181,184,211,200,171,163,103,159,203,167,143,121,117,92,18,97,193,176,177,176,173,171,169,162,167,172,177,179,181,185,200,195,174,163,110,149,178,152,137,110,95,72,19,159,185,177,178,176,174,172,169,163,168,173,177,177,184,188,199,193,177,154,112,110,139,126,108,84,77,24,87,195,179,180,179,177,175,173,170,162,167,172,174,187,160,46,141,189,171,118,81,84,98,118,95,69,31,31,179,186,182,180,179,178,176,173,171,161,165,168,179,172,55,8,25,119,136,94,87,95,99,124,86,48,15,141,192,179,181,180,179,177,174,172,170,162,166,173,177,65,12,28,15,24,92,113,105,98,99,109,70,16,104,199,181,183,181,180,178,177,174,173,170,162,165,182,90,20,31,14,19,13,20,70,82,86,84,71,39,41,184,188,185,183,182,181,180,178,176,174,172
6,187,189,189,190,190,190,189,189,189,189,189,187,187,186,185,185,184,183,181,180,180,180,180,178,177,176,135,149,189,190,190,190,191,190,190,191,190,190,189,189,188,188,187,186,185,184,183,182,182,182,181,180,179,176,172,137,191,191,192,192,192,192,191,191,192,191,190,190,189,190,189,188,186,185,185,184,184,183,182,181,180,177,177,164,191,193,194,194,194,194,193,193,193,193,192,190,190,190,189,188,188,187,187,187,187,184,182,182,180,179,177,171,192,194,195,195,196,195,195,194,194,194,192,192,191,191,191,190,189,189,187,187,186,185,183,183,182,180,178,175,194,195,195,196,197,196,196,196,195,195,195,194,193,192,192,193,191,189,188,188,188,187,185,183,183,182,181,177,194,195,196,197,198,198,198,198,196,196,196,196,195,195,194,192,191,187,188,187,187,185,182,182,177,179,179,180,195,196,197,198,199,200,199,199,201,199,196,194,191,186,184,182,181,163,163,175,176,164,172,169,175,208,166,173,196,197,200,200,199,199,198,197,192,183,184,185,180,182,184,185,176,173,163,181,184,170,173,175,167,192,150,169,197,200,201,201,200,199,200,204,185,168,175,185,187,191,193,192,179,162,162,158,158,149,140,142,134,137,158,183,198,199,200,201,201,199,208,214,191,178,170,170,173,169,165,159,152,144,123,119,112,117,151,155,169,181,186,183,199,200,201,201,203,200,215,216,201,190,177,165,161,153,148,140,129,113,92,81,79,165,201,192,192,189,185,183,199,200,202,203,202,206,221,217,211,187,159,153,157,163,162,157,148,142,140,109,140,201,189,189,189,188,186,185,200,202,202,205,201,214,225,221,208,164,139,146,150,159,163,163,155,146,146,121,150,202,191,192,190,189,187,186,202,203,204,205,200,222,222,219,187,144,152,149,142,143,158,150,142,142,137,101,155,202,193,193,190,189,188,188,201,203,205,202,206,225,219,218,194,177,166,152,134,134,161,154,148,151,137,112,190,197,195,193,192,190,189,188,202,205,206,201,217,221,220,222,220,209,176,150,155,163,163,157,146,136,135,120,168,202,194,195,193,190,189,187,204,205,202,206,222,221,222,219,218,214,171,141,147,151,151,149,137,129,128,103,162,203,195,196,194,191,189,187,204,205,199,212,220,223,220,214,213,198,165,145,140,133,137,142,140,135,118,116,191,199,195,195,194,191,191,193,204,197,199,217,220,222,215,208,204,199,185,170,144,113,120,139,136,135,111,143,204,194,196,195,191,191,190,171,204,187,210,218,221,216,213,213,208,202,206,197,156,128,140,157,148,131,123,113,189,200,194,193,194,200,140,78,195,194,216,219,218,216,217,215,204,207,211,186,143,126,134,135,127,118,109,106,188,199,198,202,179,127,76,67,191,208,213,217,214,211,206,203,200,207,197,165,135,130,129,120,112,108,103,161,208,200,178,130,88,68,68,64,203,210,214,211,205,199,193,195,194,183,166,144,131,122,105,134,148,164,185,191,157,117,79,66,67,66,67,66,209,208,211,205,193,190,188,185,184,167,146,137,137,130,140,185,168,148,124,93,69,52,56,64,64,60,62,60,206,208,201,192,183,175,183,182,173,163,154,142,125,101,102,83,67,60,58,66,57,45,55,58,60,57,59,57,206,204,198,189,179,169,171,166,155,148,134,113,88,69,56,59,59,60,64,64,47,40,50,54,58,56,56,58,208,200,195,181,163,158,153,141,127,118,101,80,62,69,60,50,54,55,60,61,42,38,47,53,57,53,53,57
4,154,158,160,161,166,167,169,174,176,178,183,182,182,186,186,185,188,189,186,188,188,190,190,189,187,187,187,187,158,161,164,166,169,171,173,176,177,179,185,184,186,186,186,197,182,181,192,190,190,191,192,190,191,190,189,190,162,166,168,170,173,174,176,179,181,182,182,192,178,201,245,232,159,105,180,195,194,197,193,194,193,193,192,192,165,168,171,174,176,178,179,185,190,192,222,221,153,124,188,210,145,86,93,131,129,180,201,196,197,196,194,193,168,171,175,177,181,181,189,185,155,223,246,225,164,96,69,180,140,84,61,115,91,100,206,197,199,199,197,196,172,174,177,181,182,184,239,221,152,159,162,225,169,115,50,121,167,116,62,135,135,88,199,201,201,200,199,200,174,177,181,185,179,219,227,217,213,180,109,172,199,140,25,125,205,150,106,125,149,117,186,208,202,203,202,203,178,182,184,185,190,241,205,156,161,134,72,95,205,130,35,172,200,141,98,88,108,103,137,216,204,206,205,205,180,185,189,189,193,247,231,186,163,155,143,85,138,103,66,129,157,122,103,105,99,94,109,186,215,206,206,206,183,187,190,194,191,231,229,209,180,153,143,108,97,121,113,125,154,132,132,111,78,120,124,121,218,209,210,207,185,190,192,197,194,224,229,199,167,135,113,101,108,132,135,154,167,155,145,114,118,164,157,106,169,222,210,211,187,193,195,200,196,233,234,201,173,133,109,100,112,124,144,164,183,187,208,226,210,191,169,144,109,209,215,213,190,194,197,203,199,234,244,210,178,139,111,107,114,129,156,197,187,220,232,221,208,186,151,122,80,161,228,213,192,198,200,204,201,230,249,214,190,157,118,107,110,132,177,197,189,218,214,206,189,167,139,111,84,110,226,218,193,200,202,207,205,230,252,222,201,169,133,114,115,134,186,201,211,221,223,206,180,159,136,107,89,95,218,222,196,202,205,210,207,232,255,229,210,178,146,128,128,130,177,209,223,225,219,207,178,152,124,103,80,117,233,222,198,204,206,210,209,228,254,236,219,186,155,149,143,135,173,213,225,224,221,207,171,139,111,99,73,179,238,225,200,205,209,213,213,224,249,243,232,197,170,162,156,144,182,207,223,226,222,200,163,128,108,90,90,227,231,229,202,207,211,214,214,220,242,247,238,210,183,172,163,149,189,208,212,226,212,184,151,123,108,73,139,244,228,231,205,211,213,216,221,216,234,247,239,215,195,181,168,157,181,215,212,212,193,164,138,117,105,74,200,241,232,233,210,215,214,218,223,221,221,240,232,216,197,184,173,156,154,202,208,190,171,145,127,115,91,103,242,233,236,235,212,215,218,221,224,227,213,235,236,220,195,185,177,156,137,186,206,188,161,133,112,117,74,175,248,233,236,236,215,217,221,223,226,233,215,235,244,224,197,185,180,161,138,175,195,177,150,121,108,79,125,244,236,239,237,237,218,220,222,226,229,234,218,239,243,214,187,180,180,156,136,166,180,162,126,111,79,117,236,241,238,238,237,240,218,222,226,229,230,233,225,243,237,204,183,186,183,164,139,154,160,145,111,90,95,232,245,238,241,248,252,239,219,224,227,228,231,237,218,239,245,208,196,200,191,178,145,140,139,133,107,70,185,251,236,249,250,216,154,103,222,226,229,231,233,240,221,239,252,214,209,220,193,181,144,126,126,130,91,90,234,240,253,209,118,66,49,47,225,227,229,232,234,244,180,234,255,233,232,231,196,180,143,122,127,132,77,126,251,247,185,78,59,38,40,35
24,63,74,85,94,101,105,105,111,117,120,123,127,129,130,134,136,137,138,140,141,142,142,141,141,141,141,140,139,63,76,87,96,103,106,107,112,119,123,125,129,131,133,135,137,138,140,142,143,143,144,144,143,144,143,143,143,64,77,88,97,104,108,109,115,120,124,127,131,133,136,138,139,140,142,143,144,144,145,145,144,144,144,144,144,66,78,90,100,106,106,113,117,122,125,129,132,135,138,140,141,142,144,145,146,145,147,147,146,146,146,146,145,66,80,90,101,105,134,105,114,125,127,131,133,137,139,141,143,144,145,147,149,148,149,148,148,149,148,148,148,67,80,91,100,111,150,83,91,131,128,132,135,138,141,143,144,147,147,149,150,150,150,149,149,149,150,150,149,68,81,93,102,109,129,78,69,129,130,134,138,139,144,145,147,148,153,152,152,153,150,152,151,150,151,150,150,68,82,94,103,106,131,89,53,118,136,135,141,142,141,144,155,156,126,143,157,153,154,154,153,153,152,152,151,69,83,95,105,110,120,109,63,87,139,134,126,149,146,98,139,170,117,79,149,157,155,154,155,155,154,154,153,70,84,96,106,113,115,133,83,57,127,154,109,149,162,85,115,161,114,61,92,164,156,156,156,156,156,155,154,71,85,97,107,114,115,128,103,77,128,181,131,164,170,96,147,147,80,57,62,151,160,158,157,157,157,158,157,72,86,98,108,116,117,124,143,102,131,195,135,156,167,91,156,137,61,46,53,119,169,157,159,160,160,156,147,74,87,98,108,116,118,121,138,124,151,187,128,138,167,93,162,144,58,48,59,84,171,159,162,160,155,145,128,74,88,99,110,117,120,120,137,181,156,169,139,123,156,95,174,146,46,44,59,51,149,169,158,159,160,132,92,75,89,101,111,118,122,121,145,169,132,140,128,89,136,99,184,117,31,52,68,58,94,157,151,163,143,91,63,77,90,103,112,119,123,124,142,186,152,131,117,80,123,100,73,37,50,62,82,105,115,136,142,130,84,63,135,77,92,103,113,119,122,125,139,189,166,131,114,121,124,142,74,79,134,129,137,135,128,121,111,74,78,155,171,77,92,104,114,121,123,126,137,183,172,148,123,117,124,152,156,178,172,160,148,130,108,94,68,74,165,172,165,78,93,105,114,121,122,127,136,181,173,145,123,133,168,184,189,174,161,149,135,111,88,61,65,160,174,168,168,79,94,106,114,121,123,128,133,175,175,151,139,144,170,188,187,172,152,136,113,88,54,70,156,176,169,171,169,80,94,105,115,122,123,129,132,164,179,160,148,139,168,187,181,166,141,118,94,53,94,171,175,171,173,171,171,80,95,106,116,123,125,130,134,154,178,161,138,126,162,169,159,149,128,103,55,101,181,176,172,174,173,172,171,79,94,105,116,123,123,129,134,149,170,143,122,126,161,154,136,121,99,55,96,181,174,173,174,175,174,173,172,79,94,105,115,121,123,127,134,145,164,141,135,139,162,147,119,98,59,62,173,176,173,173,173,173,172,173,172,79,93,106,116,122,123,128,135,145,182,165,153,147,158,139,104,87,47,121,179,171,173,174,174,174,174,174,173,79,93,106,116,122,122,129,137,144,189,178,159,141,153,125,95,77,54,150,177,173,175,176,176,175,175,175,175,79,93,105,116,122,123,129,136,142,173,163,145,139,153,119,105,61,57,161,176,174,175,175,175,175,175,175,175,77,92,105,115,121,123,129,134,145,167,148,127,134,144,117,97,45,59,168,176,175,175,175,176,176,176,176,175
6,103,110,114,117,120,125,129,132,136,140,142,143,146,149,150,153,155,156,157,159,159,159,160,161,161,161,160,161,105,110,113,116,119,125,130,133,136,140,143,145,147,149,151,154,155,156,158,160,160,161,161,161,161,161,161,161,104,111,114,115,119,126,131,135,136,140,144,147,149,150,152,153,157,158,159,159,160,162,163,163,162,162,161,161,105,112,115,117,122,127,132,136,139,142,145,147,150,152,153,154,159,161,162,161,163,163,165,165,163,163,162,163,106,114,115,118,121,127,130,135,139,143,145,148,151,152,154,156,159,161,161,161,165,164,165,167,166,165,168,168,107,113,116,119,121,127,132,136,140,145,145,148,151,152,154,155,157,158,158,159,156,159,160,161,161,158,153,156,107,113,117,119,121,126,133,136,139,141,151,157,153,157,161,163,164,170,169,163,166,172,182,171,161,154,132,131,106,111,115,116,120,125,130,133,146,168,180,174,158,149,165,178,184,185,180,164,168,178,184,180,171,158,143,142,105,111,114,117,118,122,137,160,180,182,180,170,153,118,112,143,149,148,145,140,143,133,125,126,124,115,110,118,108,116,115,112,127,155,183,183,174,172,176,180,160,110,72,74,74,81,95,95,99,115,132,139,141,144,147,152,106,109,121,150,174,186,179,173,175,181,183,168,131,105,75,66,63,54,83,139,157,166,170,170,171,172,170,170,112,147,178,187,181,181,174,176,182,179,164,140,109,93,78,76,84,76,72,115,146,168,166,168,168,167,165,166,179,187,184,182,179,182,182,179,178,178,175,172,136,87,74,62,74,90,81,69,49,128,178,167,170,168,167,168,187,184,185,184,180,176,178,175,177,180,188,182,130,87,79,73,64,76,90,96,72,50,139,175,168,169,169,168,192,190,187,179,179,177,179,172,175,186,188,150,112,93,85,88,90,74,60,71,80,61,79,175,167,169,168,167,192,188,181,172,170,167,167,164,170,178,170,136,106,89,90,94,97,88,63,57,57,64,92,170,167,167,166,166,185,183,174,167,169,166,165,161,163,169,167,148,106,74,53,79,99,128,88,71,57,60,83,100,97,97,96,95,182,182,182,175,171,171,173,171,168,174,172,147,97,81,68,64,66,86,96,88,69,70,63,60,61,62,61,59,186,186,179,173,171,169,170,167,171,178,166,132,90,85,91,90,80,67,71,75,80,73,69,71,71,71,71,70,180,177,170,166,167,159,153,150,159,162,146,122,100,96,95,89,80,71,66,64,77,78,75,71,69,68,68,68,166,163,163,157,149,146,136,138,151,145,128,112,99,92,97,95,84,73,72,76,74,76,76,71,72,70,68,68,143,147,139,137,130,130,127,124,124,113,96,84,81,72,72,79,81,80,78,76,72,74,73,70,71,69,67,67,101,103,108,108,111,102,94,86,79,77,75,75,75,74,70,69,71,76,75,73,73,74,74,71,73,69,68,68,88,75,74,75,69,70,73,73,72,76,77,78,77,76,78,76,75,75,75,75,72,71,73,72,73,71,69,69,75,71,62,55,65,74,76,78,78,78,78,77,77,77,76,75,75,76,76,75,73,70,71,71,70,69,68,69,63,51,48,55,69,79,77,77,78,79,77,77,76,77,77,75,75,76,75,74,73,72,70,71,72,70,69,68,89,79,65,61,67,77,78,78,77,77,76,76,76,76,76,74,75,74,74,74,73,71,70,70,71,68,69,69,98,76,66,63,67,76,79,78,77,76,77,76,75,76,75,74,74,74,74,74,73,71,71,70,70,68,69,70
21,184,186,188,188,188,188,189,190,190,190,191,192,188,183,191,190,190,190,189,188,187,187,186,184,187,114,50,46,187,189,189,190,191,191,191,192,193,193,192,194,206,148,182,195,191,192,192,191,193,189,188,190,168,101,61,52,190,191,192,193,194,194,194,194,195,194,194,196,210,138,167,201,194,194,196,185,171,194,190,194,166,78,63,66,192,193,194,194,196,197,197,196,197,197,197,200,212,139,153,206,197,196,202,189,127,193,192,195,173,94,72,82,194,194,196,197,198,198,199,199,199,199,199,201,217,146,145,207,198,197,208,184,122,195,196,194,197,113,71,81,195,196,198,199,199,200,201,200,200,201,200,201,224,162,144,207,202,199,211,177,126,196,199,196,200,146,73,73,197,198,199,201,201,202,203,202,202,203,204,202,227,173,143,205,205,202,216,175,132,198,200,197,202,183,81,62,198,200,201,203,203,203,204,204,204,204,205,202,227,183,144,197,209,204,222,180,137,202,202,201,199,204,106,63,200,202,203,204,205,205,205,205,205,205,207,204,231,199,152,184,212,207,223,179,138,204,204,203,200,206,159,154,202,203,204,206,205,205,206,207,206,207,208,205,231,212,155,179,213,213,229,176,136,208,204,204,202,204,159,195,203,204,205,207,207,207,208,209,209,209,210,199,207,219,150,178,215,219,223,166,143,213,206,206,204,203,177,202,203,204,205,207,208,209,210,209,210,209,227,205,175,188,165,160,215,223,208,155,154,216,206,207,207,206,198,161,204,205,207,208,209,210,209,210,211,210,234,229,200,157,189,120,184,218,198,146,168,219,208,208,208,208,203,154,205,206,207,209,210,210,210,211,211,214,212,234,222,186,194,130,120,174,174,134,186,217,210,210,209,209,206,188,206,207,208,209,210,211,211,211,211,215,191,184,232,192,185,172,136,124,140,116,193,217,210,210,209,210,210,205,206,207,209,210,210,211,212,213,213,210,218,187,208,197,159,194,179,130,114,109,188,220,211,211,211,210,209,208,206,207,208,209,210,210,212,212,215,216,234,201,144,186,147,171,188,146,108,102,188,220,213,212,211,211,210,209,206,207,207,207,210,210,211,211,226,230,219,166,116,133,178,147,178,170,126,97,192,218,212,211,211,211,209,209,206,207,208,209,209,211,211,215,232,203,184,175,137,94,148,116,160,201,146,105,202,218,212,212,211,210,209,208,207,209,210,210,210,212,212,215,229,200,174,185,145,108,88,140,183,216,175,117,173,221,212,213,211,210,210,209,206,208,209,209,209,211,212,212,225,209,189,180,172,125,113,215,204,209,191,143,131,219,214,213,212,211,210,210,212,214,215,216,215,216,218,219,226,225,195,147,173,141,162,236,216,200,180,148,144,220,214,214,212,210,211,211,161,164,168,171,174,179,182,185,226,228,193,143,170,157,206,238,208,193,165,123,156,226,217,219,218,215,210,208,117,117,119,119,118,119,119,118,218,232,187,162,179,168,233,230,205,185,160,121,130,149,145,144,150,162,185,204,126,127,126,125,125,125,127,120,203,230,191,184,192,177,240,229,202,178,146,123,117,119,135,160,183,204,217,225,125,125,124,125,126,126,128,118,173,232,209,206,202,166,224,220,186,164,131,120,184,199,207,220,222,216,217,228,124,124,123,125,126,125,126,124,136,219,220,210,198,163,195,207,165,138,116,128,223,220,197,189,203,212,209,216,124,124,123,125,126,125,125,128,120,202,216,193,177,154,160,184,147,123,112,144,180,192,211,176,174,192,205,214
4,181,186,189,193,195,198,201,202,204,208,209,210,211,212,213,214,214,213,212,213,212,211,211,210,210,210,210,208,183,187,190,194,196,199,202,204,206,209,210,212,212,215,215,214,216,219,217,214,214,214,213,212,211,211,211,210,184,189,192,195,198,201,203,205,208,210,211,211,211,215,218,223,200,177,207,219,217,216,214,214,214,213,213,211,185,189,193,197,198,201,204,207,211,214,212,220,206,174,208,248,207,152,148,231,218,217,217,216,216,215,214,212,186,190,195,198,202,204,206,209,210,207,223,255,220,174,161,249,208,162,132,204,202,218,219,216,216,216,215,214,188,191,196,199,202,204,206,208,219,218,207,244,233,188,145,234,214,159,99,143,169,158,220,220,218,217,217,216,189,193,196,201,205,206,206,215,250,247,191,174,245,205,143,217,218,154,90,145,180,127,157,228,217,219,217,217,188,194,197,200,204,210,206,227,246,236,179,152,233,189,129,184,195,136,91,153,181,136,114,225,221,220,219,218,189,194,198,203,204,208,208,227,228,227,177,141,212,175,123,145,172,129,104,185,188,133,112,225,222,219,218,219,191,195,199,203,206,210,207,227,222,205,186,150,193,170,126,107,152,106,135,219,175,114,119,229,222,219,219,220,191,196,200,204,207,212,209,229,241,208,192,169,167,206,156,130,149,114,139,183,147,93,122,233,223,224,222,221,192,197,202,205,208,211,210,233,252,225,185,127,135,204,175,198,172,177,183,197,184,122,127,236,222,225,223,222,193,198,202,206,207,212,210,242,247,207,171,136,115,117,136,197,174,200,215,225,207,136,139,237,223,226,224,223,193,198,202,206,209,212,211,248,232,184,154,131,115,110,108,148,178,189,201,204,184,139,122,226,227,227,224,224,194,199,203,207,210,213,214,253,237,198,167,133,119,120,134,137,147,161,165,171,176,156,107,200,234,225,224,224,194,199,203,208,210,212,220,255,233,196,156,135,126,120,133,161,147,179,191,189,191,168,115,156,240,224,227,225,196,200,205,209,211,213,223,254,231,190,153,132,130,121,141,167,173,227,224,230,220,179,134,109,225,230,229,227,197,202,205,209,215,213,225,251,228,190,161,144,136,133,142,161,211,238,241,234,233,191,143,96,193,239,228,229,196,203,205,208,213,213,226,245,222,194,167,155,144,140,138,193,243,240,243,215,211,176,139,98,199,238,227,229,195,200,205,206,211,213,223,241,220,199,170,149,136,144,164,238,250,244,226,204,180,154,114,127,232,229,228,228,195,200,205,206,212,214,220,243,231,192,157,150,143,159,197,253,247,233,204,183,155,128,96,192,237,227,228,228,196,201,204,208,212,216,217,240,232,201,183,181,153,165,218,250,237,216,189,163,139,101,136,239,229,230,229,229,197,201,205,209,213,217,216,237,234,210,187,188,157,153,233,237,221,195,171,146,121,94,206,237,231,231,229,229,197,201,205,208,212,218,213,237,241,215,193,187,156,159,229,221,197,174,146,127,93,142,242,231,231,231,230,230,197,202,207,208,212,216,211,252,247,220,192,176,140,161,213,202,173,149,125,107,92,215,236,231,230,231,230,229,196,202,206,209,215,208,231,255,237,207,183,150,131,169,190,161,130,119,107,84,175,240,230,232,231,230,230,229,193,199,203,207,210,209,253,250,236,216,185,154,151,173,161,125,113,114,93,153,237,230,232,231,231,232,230,231,155,158,158,159,148,201,255,240,235,214,179,165,162,161,145,118,119,118,101,150,162,160,161,159,161,162,163,164
24,157,158,160,162,164,166,167,168,168,169,168,168,168,168,167,167,167,167,166,165,164,164,162,161,160,160,159,158,157,159,161,163,165,167,168,169,169,170,169,169,169,169,168,168,168,167,167,166,166,165,164,163,161,160,159,158,159,160,162,164,165,168,169,170,171,171,171,171,171,171,171,170,170,168,167,167,167,166,165,165,163,161,159,159,160,162,164,164,152,162,170,172,172,172,173,172,172,172,172,171,171,169,168,168,167,167,166,166,164,163,161,161,162,164,168,165,130,152,172,173,173,173,174,174,173,172,172,172,172,171,170,170,169,168,167,166,165,164,163,163,163,165,170,159,120,149,172,174,174,174,175,175,174,173,173,173,173,172,171,171,170,169,168,167,166,164,164,165,164,165,171,157,118,149,173,175,176,175,172,165,170,174,175,175,174,173,172,170,168,167,168,168,167,166,165,165,165,167,173,159,120,149,174,175,174,178,172,146,142,163,175,176,175,173,168,156,145,139,156,169,168,167,166,166,166,168,173,161,128,147,170,171,156,168,178,153,116,123,162,177,176,170,149,123,110,110,141,169,170,168,168,167,167,168,173,169,162,163,170,176,143,147,178,157,108,92,131,172,176,161,125,100,111,136,159,171,171,170,169,169,168,169,175,182,191,181,182,184,147,133,167,148,99,76,104,161,174,147,108,109,151,170,173,173,172,171,171,170,169,171,175,183,199,188,190,188,146,110,128,122,98,80,105,153,157,124,106,141,173,176,175,174,173,172,172,171,170,172,176,188,201,188,192,189,141,92,82,119,137,132,144,153,131,105,123,168,178,177,176,176,174,174,172,172,170,173,179,196,195,173,168,165,124,96,112,163,175,164,154,143,115,106,152,179,180,179,178,177,176,174,173,173,171,173,181,190,180,155,131,122,119,146,181,191,178,159,141,125,109,126,173,182,181,180,180,178,177,176,174,174,172,175,187,191,176,154,130,121,162,200,204,194,172,146,125,110,108,150,182,183,181,181,181,179,178,177,176,175,173,176,195,200,182,162,154,171,206,212,203,187,160,132,113,103,116,168,185,183,182,182,181,181,180,179,177,176,174,178,201,206,191,180,188,210,217,210,196,174,144,118,106,101,137,181,186,185,185,184,182,182,180,179,178,177,174,179,204,210,199,198,211,218,211,200,182,156,127,108,102,117,166,187,187,186,185,184,183,182,181,180,179,178,174,179,204,214,205,207,216,210,194,180,162,136,114,104,113,155,185,189,188,187,186,185,184,183,182,181,180,179,176,180,203,216,205,201,205,198,181,163,144,120,104,105,149,184,190,189,188,188,187,186,185,184,183,182,181,180,176,179,197,208,198,197,201,197,180,160,137,110,92,121,177,192,192,191,189,188,187,187,187,186,184,183,182,181,176,179,188,194,190,196,200,195,179,156,130,99,87,143,188,193,193,192,191,189,188,187,187,187,186,185,184,182,176,179,183,191,196,199,196,189,176,152,124,92,94,161,192,193,193,193,192,190,189,188,188,187,186,185,184,183,175,177,182,196,202,195,191,183,170,148,121,91,101,170,192,192,192,192,191,189,189,188,188,187,186,185,184,183,174,176,181,200,202,189,190,177,164,146,120,93,98,167,191,192,192,192,190,189,189,189,187,186,185,185,183,182,175,177,182,204,203,189,190,175,163,145,117,93,94,160,192,193,193,192,190,189,188,188,187,186,185,185,183,182,174,177,183,205,205,192,192,178,163,143,116,93,91,154,191,194,194,192,191,190,188,188,187,187,186,185,184,182
8,184,185,186,187,188,189,190,190,191,190,189,190,190,190,191,191,190,190,188,186,184,182,181,180,178,178,176,174,187,188,187,189,190,192,193,193,193,193,192,192,192,192,193,192,191,190,189,188,186,184,183,183,180,179,178,175,188,190,190,191,194,194,195,195,195,198,206,172,194,195,195,195,194,193,191,190,189,187,186,185,183,181,180,178,190,191,192,193,195,196,196,197,194,210,214,147,194,198,197,197,195,194,193,192,192,190,188,187,185,184,183,181,191,192,194,195,197,198,198,199,196,219,210,146,199,198,200,200,196,197,195,193,194,191,190,190,187,187,185,184,194,195,197,198,199,199,199,201,197,226,216,153,204,215,190,194,207,191,190,196,194,199,189,182,191,188,187,186,197,198,200,200,200,201,201,202,199,233,214,153,225,240,190,165,227,188,157,196,187,211,187,158,195,190,189,187,198,200,201,201,202,202,202,203,199,235,216,155,242,248,204,157,221,195,144,193,187,203,194,146,194,194,190,188,199,201,201,202,203,205,205,206,202,235,233,190,246,253,211,155,212,200,134,195,187,173,202,154,169,194,192,190,201,202,203,204,206,207,207,207,205,239,231,233,239,244,212,150,197,195,131,201,178,134,189,183,144,174,196,192,202,202,204,206,207,207,207,206,212,242,230,231,235,230,203,142,196,186,134,198,158,126,176,202,142,171,197,193,203,203,205,207,209,209,210,206,225,244,208,208,209,216,216,145,193,178,121,168,146,130,199,211,144,186,197,196,204,206,207,208,209,211,210,207,235,247,191,182,178,187,218,147,195,180,111,167,136,153,221,198,145,198,199,197,206,208,209,210,211,211,212,209,240,248,206,165,171,175,182,175,197,172,136,177,145,201,219,170,150,204,201,200,207,209,210,211,212,212,214,212,242,251,214,174,154,170,189,211,191,186,206,212,206,203,190,149,161,198,192,170,207,209,210,211,212,213,216,212,242,252,223,188,157,166,198,212,220,237,242,229,204,175,157,134,126,126,117,104,207,208,211,211,211,213,214,212,241,254,231,205,171,164,201,231,248,247,235,219,191,157,134,117,115,111,104,99,208,209,211,213,214,215,215,212,239,255,243,219,194,177,205,240,249,239,224,202,171,141,120,112,109,102,100,100,210,211,211,214,216,215,216,214,232,255,249,228,209,186,207,241,243,228,208,179,146,122,107,101,84,74,61,49,210,213,214,214,216,216,218,217,224,255,251,232,208,191,203,233,230,210,188,154,124,105,95,87,74,62,58,45,211,213,215,214,216,218,220,220,224,255,244,224,202,188,199,216,208,187,166,130,108,102,96,81,64,52,53,49,214,216,217,217,219,220,224,192,184,253,215,205,189,181,196,200,182,160,134,104,95,96,99,94,71,49,45,47,186,188,190,192,195,198,206,129,106,233,209,204,188,186,191,184,159,132,101,73,78,88,86,95,89,59,41,41,121,119,117,118,119,121,129,118,66,158,208,204,194,185,175,165,138,107,58,44,56,76,73,83,97,74,47,37,117,117,120,119,118,117,121,130,112,116,162,183,182,167,154,138,110,75,19,25,53,68,66,70,90,85,57,37,122,120,123,124,125,124,128,130,111,114,115,125,142,141,125,120,86,40,13,48,80,84,55,60,80,89,70,44,125,122,124,125,125,125,132,130,110,108,106,99,96,98,98,98,70,24,33,72,92,84,46,53,70,87,79,56,125,122,125,127,128,128,135,127,113,110,106,101,91,83,79,74,68,57,58,60,60,51,35,44,61,79,83,65
24,171,171,171,171,171,172,172,172,172,171,171,171,170,169,168,167,166,165,164,163,161,160,160,158,156,155,154,152,173,173,173,174,174,174,174,173,173,174,173,173,172,171,170,170,168,167,166,168,166,163,163,161,160,159,156,154,176,176,177,177,177,176,176,175,176,176,177,176,175,174,173,172,172,171,168,143,161,168,165,164,162,160,158,156,177,178,178,178,178,178,178,179,178,178,178,178,177,176,175,174,174,172,174,117,130,175,165,166,164,162,161,158,180,180,179,180,180,182,184,179,179,179,179,179,178,178,177,177,175,175,179,118,124,176,168,168,165,165,163,161,183,183,183,183,186,163,166,186,181,182,182,182,181,180,179,178,177,179,180,115,128,180,171,170,169,168,165,164,184,184,185,185,184,145,112,182,186,185,185,184,184,183,182,181,178,185,177,110,140,181,172,173,171,169,167,167,186,186,185,186,185,155,105,147,195,185,187,187,186,184,184,183,179,190,174,110,153,182,173,173,172,170,169,167,188,188,187,187,191,171,121,119,197,186,188,188,186,185,185,185,187,190,155,103,167,181,176,175,174,173,171,169,189,189,190,189,191,182,138,99,185,191,188,189,192,190,187,180,183,193,138,99,181,180,179,179,176,175,173,171,190,191,191,190,191,189,161,101,156,199,190,191,171,172,190,163,117,146,133,120,191,180,181,180,177,176,175,172,192,192,192,192,192,193,172,116,117,200,192,178,156,138,149,145,115,98,106,144,192,182,183,181,179,178,177,175,194,194,194,194,193,197,176,137,97,183,192,173,169,148,139,130,150,124,73,165,192,184,184,183,181,180,178,176,195,196,195,195,195,197,185,164,115,144,178,170,176,145,148,147,154,120,81,183,189,186,185,185,183,180,179,177,196,197,197,197,196,196,192,179,128,109,140,148,191,149,118,120,142,137,86,169,195,188,187,185,184,182,181,179,197,198,198,197,198,199,199,182,155,141,127,127,174,154,91,70,158,154,96,125,201,187,189,186,186,185,182,179,199,199,199,199,199,200,200,186,189,152,112,93,156,136,88,66,140,170,135,86,175,193,188,188,188,186,184,182,200,200,201,201,201,200,202,190,183,134,111,96,150,126,81,98,182,183,159,86,134,201,187,189,188,186,184,183,201,202,202,202,203,202,203,197,181,160,152,111,146,145,98,163,193,176,142,82,139,201,188,189,188,187,185,184,202,203,204,203,204,204,205,200,184,181,160,119,132,124,146,203,181,162,130,72,161,200,190,191,190,187,186,185,202,203,203,204,203,203,205,201,178,190,169,144,112,128,195,199,177,152,123,80,180,199,191,191,190,190,188,186,202,203,202,203,203,204,205,202,181,178,171,158,120,136,196,188,170,147,110,86,190,195,192,191,190,189,187,185,203,203,203,204,205,206,205,206,181,170,169,167,137,127,188,188,162,136,95,96,200,193,192,191,189,187,185,183,204,204,205,206,206,206,206,209,187,172,172,169,158,124,176,185,154,122,76,127,207,193,194,192,190,187,188,191,204,205,205,205,204,206,206,208,199,178,176,168,168,115,149,168,129,100,62,164,203,193,194,191,191,198,181,148,209,210,212,211,212,214,213,214,211,182,181,169,156,122,122,142,115,81,78,196,199,196,198,201,189,158,97,65,149,152,157,161,164,167,170,173,176,186,178,161,149,140,115,136,119,67,130,203,192,192,179,141,98,66,60,61,109,110,111,111,109,109,109,105,118,188,183,172,167,148,128,136,108,72,106,119,116,107,87,63,62,66,60,59
5,124,128,132,136,138,141,143,145,147,150,151,152,153,156,157,159,160,161,164,164,165,166,167,167,167,168,169,168,125,130,133,137,140,143,144,146,148,151,152,153,154,157,159,160,161,163,165,165,166,167,167,167,168,169,169,169,126,130,134,138,141,144,145,148,149,152,154,154,135,154,160,161,163,165,166,166,158,165,168,169,169,169,169,169,127,131,135,138,142,145,146,148,151,153,155,162,115,144,161,162,164,166,166,169,133,148,169,169,169,170,170,170,128,133,136,139,143,147,157,130,145,155,157,167,116,140,163,163,165,166,169,168,117,143,171,170,171,172,172,171,129,133,137,141,145,146,169,137,125,156,160,173,124,141,164,164,166,168,172,142,109,161,172,173,174,174,173,172,131,134,138,143,146,146,162,157,117,154,163,173,128,140,165,165,167,174,165,114,130,173,173,175,175,174,174,173,132,136,140,144,148,149,159,180,133,146,166,160,117,138,167,167,168,169,140,114,164,175,174,176,176,175,175,175,132,137,141,144,149,150,156,192,153,133,165,152,120,136,168,163,160,138,108,142,175,175,175,176,177,177,176,176,134,138,142,146,150,151,153,187,174,130,160,147,130,132,165,157,148,104,122,172,177,176,177,178,179,179,178,178,134,139,143,147,150,152,153,171,192,163,144,135,130,121,145,149,136,107,161,176,176,177,177,179,179,179,179,179,135,139,144,147,150,152,154,160,191,191,154,120,119,105,117,134,118,129,175,178,179,179,179,179,180,180,180,179,135,140,144,148,150,152,154,158,176,201,177,134,106,98,102,107,105,157,178,178,178,177,179,180,181,181,181,180,135,140,144,148,151,152,155,158,164,198,186,144,106,92,93,93,106,168,173,170,166,166,171,173,171,171,173,170,136,141,146,150,152,153,156,159,161,194,189,146,105,87,86,89,104,139,157,159,151,161,174,171,167,167,157,131,137,142,146,149,153,155,158,160,164,201,187,148,110,85,83,88,104,118,135,136,119,125,139,137,139,152,140,110,138,142,146,150,153,155,158,159,172,209,180,143,109,87,82,88,99,105,105,111,121,150,157,156,157,156,133,124,137,142,147,151,153,155,158,158,187,209,172,138,106,86,83,87,90,99,128,155,175,183,180,167,161,134,131,170,137,142,147,151,154,156,159,162,201,201,165,133,102,85,85,88,84,130,174,184,182,173,159,157,145,117,172,184,137,142,147,151,154,156,159,172,211,196,159,122,100,83,84,94,106,128,140,158,159,157,161,153,123,135,185,183,138,143,148,152,154,156,158,188,211,187,150,121,102,83,87,103,121,133,132,131,149,156,151,133,132,171,186,185,139,143,149,152,154,156,162,203,206,177,144,127,106,83,97,124,139,145,137,131,144,134,131,156,181,187,187,186,139,144,149,152,154,155,174,211,202,173,143,129,107,84,106,138,143,145,138,119,116,135,171,186,187,187,186,185,140,144,149,152,154,157,195,209,194,169,143,125,106,87,114,142,138,141,126,109,142,179,186,186,186,186,186,185,140,144,149,153,153,173,208,200,187,163,130,115,98,89,120,137,131,129,123,158,183,186,186,186,187,187,187,186,140,144,149,153,157,193,202,189,177,152,117,107,93,95,117,122,125,124,164,185,186,186,187,186,187,187,187,186,140,145,149,152,175,197,190,181,175,149,107,100,94,98,104,113,133,165,184,185,186,187,187,187,187,187,187,187,140,145,149,155,197,193,184,176,178,143,97,100,102,94,97,136,174,184,186,186,186,186,187,188,188,187,187,187
1,194,194,195,194,196,196,197,195,197,196,195,196,195,195,194,192,192,193,190,188,187,186,185,184,183,181,178,177,199,198,198,199,199,200,200,200,200,200,199,199,199,198,197,198,195,182,192,192,191,190,189,186,185,184,181,179,203,202,203,202,203,203,203,204,204,203,202,203,202,201,198,191,207,143,171,207,193,193,192,190,189,186,184,184,207,206,206,206,206,207,207,207,207,207,207,207,205,205,211,150,187,151,133,180,199,197,194,192,192,190,187,187,210,208,209,209,210,211,211,210,210,210,211,211,209,209,213,136,182,145,89,117,177,204,197,196,194,193,191,188,212,212,213,212,212,213,213,214,213,213,214,214,214,217,200,126,192,125,116,143,147,212,197,199,198,196,193,192,214,216,216,216,215,215,217,217,215,214,216,211,182,217,188,131,208,127,138,155,131,214,200,202,200,199,197,193,219,219,219,219,220,220,221,220,219,219,218,212,140,195,186,147,202,115,150,163,133,215,205,205,203,201,200,197,221,222,221,222,223,221,221,221,221,220,221,207,131,198,158,166,188,110,177,171,134,216,207,208,205,204,203,200,224,224,224,224,224,224,223,222,224,222,228,194,131,203,143,184,188,126,201,158,133,220,208,210,208,206,205,202,226,226,227,226,227,228,227,227,227,226,229,183,127,215,146,186,193,125,196,155,138,223,210,211,211,209,207,205,228,227,228,229,228,229,230,229,227,229,231,163,129,220,132,171,178,109,200,165,149,226,214,214,213,212,209,207,230,230,230,230,230,230,230,231,231,230,232,161,132,207,109,167,162,109,208,155,146,229,217,215,215,213,212,209,232,231,232,232,232,233,233,232,232,234,225,147,139,190,153,185,185,139,159,141,151,231,219,219,216,214,212,211,233,234,235,234,234,234,235,234,234,234,210,176,180,154,167,170,171,167,145,128,127,224,222,221,220,218,215,213,235,235,236,236,235,235,236,236,235,232,218,189,153,137,143,164,178,155,146,163,118,200,231,221,222,219,216,215,236,236,237,237,236,236,237,237,236,236,214,163,129,137,143,178,184,159,199,198,129,168,238,222,222,220,218,216,237,237,238,238,238,237,239,240,237,230,211,159,125,147,154,186,196,209,170,198,167,143,235,225,225,222,221,219,237,238,239,240,240,240,240,241,238,224,218,174,121,136,172,194,203,218,186,180,167,115,222,229,226,224,222,221,240,240,241,241,241,242,241,242,237,219,223,187,137,125,172,198,206,204,187,168,127,97,225,230,227,226,224,221,242,242,242,242,242,243,242,244,239,214,221,191,151,125,163,215,221,216,181,151,105,132,242,228,229,228,225,223,242,243,243,243,243,244,244,245,242,211,206,190,158,136,175,228,218,205,167,136,89,195,242,229,229,228,227,224,242,242,243,243,243,244,244,245,245,219,206,191,168,149,188,223,208,186,151,112,110,239,233,232,230,229,229,225,240,241,243,242,242,243,243,243,247,227,203,199,183,153,187,211,196,165,133,85,166,247,232,233,230,229,228,226,240,241,243,243,243,244,244,243,246,234,204,203,185,159,176,187,166,139,98,94,231,236,234,232,229,228,226,223,242,242,243,243,243,244,244,243,247,233,210,204,183,163,165,169,141,109,77,197,244,234,235,233,229,228,226,224,241,242,243,244,244,243,244,244,247,221,215,204,196,178,157,150,117,78,185,252,235,237,235,234,232,231,234,223,241,242,243,244,243,243,245,247,240,207,222,209,205,176,152,127,84,121,251,237,240,237,235,234,233,217,186,132
13,148,150,151,152,152,153,154,154,153,153,153,153,154,153,152,151,151,151,149,149,148,147,146,145,145,145,144,143,151,151,152,153,154,155,156,157,156,155,154,154,155,154,154,152,151,151,150,151,149,148,147,146,145,145,145,144,152,153,154,154,156,157,157,158,158,156,156,155,156,154,155,154,152,152,152,153,151,150,149,148,147,147,146,145,153,155,156,156,157,158,157,158,157,157,158,156,156,157,157,156,155,157,155,153,152,150,151,150,150,149,147,147,154,156,156,157,158,159,159,158,158,157,158,158,158,158,156,156,142,133,154,154,152,159,153,151,151,151,150,148,155,158,159,159,160,159,161,160,160,163,161,161,156,157,161,155,119,72,88,151,124,117,151,154,151,152,152,149,157,158,160,159,162,163,161,165,153,134,160,165,134,112,153,144,114,77,53,111,108,64,91,159,152,152,152,150,158,159,161,163,163,162,167,175,154,98,110,159,131,91,136,151,110,86,52,99,104,81,56,133,160,152,152,152,159,161,163,164,164,161,188,180,154,108,108,155,123,96,151,175,122,86,62,125,114,89,46,124,163,153,154,153,161,163,164,164,165,164,195,183,158,108,118,159,119,91,177,179,117,77,94,155,111,76,49,136,161,155,154,154,162,164,165,165,163,184,194,170,160,102,113,155,124,78,126,152,91,69,80,105,76,52,57,152,160,157,157,156,163,165,167,164,174,192,169,146,123,78,109,151,117,81,39,66,92,86,76,75,80,55,83,166,158,159,158,157,164,166,167,164,188,191,157,117,88,62,104,121,99,61,21,34,75,72,92,112,113,84,96,170,159,160,159,158,165,167,167,167,201,198,178,140,109,58,86,97,77,76,101,135,138,131,133,120,128,111,77,156,164,162,161,160,166,168,167,176,206,194,180,168,143,93,90,126,141,169,174,167,159,150,142,110,100,97,68,128,171,162,163,161,168,170,167,181,204,193,183,172,146,134,138,167,179,172,165,159,153,140,129,112,92,94,72,106,174,163,164,162,170,170,167,185,203,193,184,172,152,151,161,172,180,169,163,159,151,137,121,111,98,91,71,89,174,164,164,163,169,169,168,185,200,191,184,170,155,153,161,170,181,171,164,159,143,125,115,104,88,84,55,113,174,164,164,164,170,170,168,181,198,190,180,163,147,145,156,164,168,165,160,148,130,118,106,91,80,52,87,171,166,166,165,165,169,174,180,179,187,181,163,145,138,151,157,159,153,155,151,136,124,108,91,77,51,59,162,171,168,167,166,165,177,155,113,167,179,168,158,151,146,156,161,153,144,138,132,117,100,85,69,45,65,154,174,168,169,168,167,165,177,107,44,88,183,179,175,172,155,146,157,145,124,112,114,98,80,57,62,111,167,175,170,171,169,169,168,167,131,70,78,59,100,173,180,172,153,135,143,130,105,96,95,73,48,88,163,181,173,170,173,171,170,170,169,168,85,68,69,70,57,84,132,130,126,124,137,115,93,85,69,48,120,180,177,172,174,174,172,172,171,170,170,169,77,68,64,65,72,31,38,54,53,56,69,70,67,61,43,126,190,176,174,175,175,175,173,173,173,171,170,169,70,64,63,61,70,52,18,45,44,37,33,32,32,34,33,141,179,178,176,176,176,174,173,174,174,172,171,169,67,64,60,57,66,58,12,33,41,34,34,32,30,26,9,45,180,177,176,176,176,174,173,174,173,172,170,169,66,62,60,51,61,54,10,25,35,32,32,29,30,23,6,124,186,174,176,175,175,174,173,173,172,170,169,169
7,182,182,181,182,182,182,182,182,181,181,180,179,177,177,176,175,174,173,171,169,166,165,164,161,159,158,155,152,184,184,184,183,184,185,185,184,183,183,183,182,181,180,179,177,175,173,174,172,169,168,167,164,162,160,158,154,185,184,186,185,186,186,187,188,186,185,186,184,184,183,181,179,178,177,175,174,172,169,166,166,165,162,161,158,187,186,188,189,188,188,188,189,188,188,186,186,185,184,183,181,180,178,176,176,176,176,173,172,169,166,163,160,188,189,190,190,190,190,189,190,190,191,188,186,186,184,185,186,187,185,183,176,170,159,153,151,158,170,166,164,190,191,192,191,191,191,190,190,190,193,194,193,194,190,185,169,150,138,126,133,117,92,123,156,120,159,170,165,193,192,192,193,192,192,194,197,196,188,181,169,151,134,118,116,96,84,101,93,88,84,104,120,96,166,172,165,193,194,194,194,194,197,189,164,138,122,112,115,113,107,105,100,85,68,74,60,63,57,37,63,109,132,161,171,196,195,195,196,199,182,149,126,95,96,108,102,103,96,94,74,71,79,67,63,70,61,59,53,40,56,89,167,194,193,197,196,169,149,149,128,85,74,69,64,69,77,89,99,106,108,72,48,74,61,47,40,23,52,55,156,194,199,189,155,143,149,143,127,108,91,87,94,108,117,112,113,99,89,57,28,35,22,20,28,32,51,107,174,200,189,150,140,145,144,134,134,129,115,113,105,108,101,86,78,62,46,28,39,76,108,134,152,167,175,180,174,191,150,142,144,147,138,143,141,119,77,52,61,65,49,39,74,89,111,141,174,194,196,192,188,185,180,176,175,155,149,149,150,146,145,140,118,93,35,26,35,20,14,3,82,202,205,201,196,189,185,183,183,183,181,177,176,150,155,152,148,147,137,110,103,75,37,23,7,4,5,7,0,101,207,189,191,190,188,185,184,183,180,177,175,152,153,149,152,141,118,105,98,91,93,68,15,5,10,0,11,147,198,190,190,188,187,183,182,179,177,180,179,146,150,157,152,129,104,95,89,100,112,67,11,7,1,13,145,207,192,191,191,190,186,183,183,187,188,165,83,147,154,153,132,97,80,80,77,83,73,26,2,0,0,80,219,191,195,191,190,188,192,196,182,150,96,39,12,148,147,127,99,87,86,85,70,62,46,27,8,7,0,74,208,191,198,198,197,202,164,109,64,25,8,4,11,140,120,98,97,96,91,80,50,34,45,50,20,0,40,189,210,203,177,165,164,123,46,16,3,9,8,9,9,112,97,98,92,76,57,37,30,41,62,47,4,24,151,166,141,92,34,27,21,12,8,23,8,0,1,7,11,100,101,87,61,47,43,41,44,44,33,10,33,60,52,39,36,0,0,9,0,8,0,0,6,0,0,1,9,102,94,70,60,60,57,45,31,21,18,58,73,45,30,24,20,13,0,3,0,0,0,0,0,0,0,0,5,85,60,47,46,43,37,26,23,43,72,75,43,24,17,9,1,0,0,0,0,0,0,0,0,0,0,0,2,36,11,23,30,37,40,50,69,82,70,22,16,12,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,42,76,79,86,82,78,78,70,37,9,0,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,82,83,79,86,77,74,70,45,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,33,82,82,78,79,78,70,51,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,108,109,109,110,112,113,114,116,118,121,128,137,146,153,158,163,165,166,167,171,174,177,179,181,183,185,186,187,110,109,109,110,112,114,114,116,118,121,128,138,146,153,157,162,165,166,169,171,174,178,180,182,184,185,187,189,112,109,110,109,111,114,115,117,118,122,131,139,146,154,158,162,166,168,171,172,175,177,181,182,183,186,188,189,111,109,109,110,111,113,109,114,120,123,131,139,146,153,159,163,166,169,171,173,177,179,182,183,185,188,190,192,111,109,109,110,109,111,147,130,115,119,131,141,149,154,159,165,167,168,170,173,176,178,182,184,186,189,190,193,111,109,109,111,104,127,205,179,157,138,132,138,145,154,162,166,168,168,170,173,176,180,182,185,188,189,190,192,111,110,110,110,107,117,178,183,170,175,162,159,149,146,152,159,163,167,171,176,181,182,183,185,188,189,190,193,110,110,110,111,111,108,123,150,138,152,163,169,168,164,152,152,150,153,156,159,166,175,183,189,187,190,192,193,110,109,110,110,111,113,112,117,120,130,140,139,158,169,164,160,157,161,163,157,142,139,130,163,195,189,194,195,110,109,110,110,111,112,115,117,117,124,130,127,134,152,151,149,143,156,176,180,162,146,128,104,164,199,191,196,110,110,109,110,110,112,115,117,117,124,135,143,147,148,146,146,131,154,173,177,167,158,152,124,112,180,197,194,111,109,109,110,111,113,114,117,117,123,134,141,151,157,160,159,154,182,178,173,175,173,164,149,125,115,187,199,111,110,110,110,110,113,114,115,118,125,130,143,151,154,165,168,183,202,167,156,185,170,174,168,145,110,120,195,110,110,110,109,111,113,114,116,118,120,156,161,156,157,149,165,195,164,153,133,190,155,182,183,150,126,101,133,109,109,109,109,111,111,113,115,116,121,183,175,175,181,169,143,148,134,106,114,180,142,185,183,151,130,113,100,110,109,109,109,109,111,113,115,117,124,154,156,179,199,182,146,145,147,122,123,156,155,179,177,152,135,114,107,109,109,109,108,108,111,113,114,117,123,134,146,166,187,163,148,165,159,155,156,151,149,138,152,146,130,112,107,108,107,107,108,107,108,109,112,115,123,134,141,153,151,135,152,165,160,160,170,168,146,114,117,128,120,115,111,107,104,106,106,107,108,108,110,113,123,134,142,142,178,158,129,142,161,166,170,167,140,113,111,116,113,116,117,107,104,104,105,106,108,110,111,114,122,133,145,139,196,194,131,85,100,148,159,161,135,114,116,115,114,118,118,107,105,104,104,106,106,109,110,114,124,133,144,142,184,183,128,88,78,92,141,141,120,113,116,117,116,119,119,106,104,103,103,105,106,108,108,113,123,133,144,142,182,185,113,108,113,82,114,139,118,116,119,124,122,119,116,104,103,102,102,104,106,108,107,112,120,132,142,143,176,183,101,144,131,116,121,135,147,135,132,126,122,118,114,103,102,101,101,103,104,106,107,111,120,130,140,140,176,189,90,144,174,110,149,139,142,125,121,117,116,116,116,98,97,96,95,98,98,99,100,103,114,126,137,136,183,179,91,130,196,123,122,179,114,115,111,103,106,108,108,146,143,140,138,135,134,133,133,135,139,145,149,149,169,133,105,159,178,125,137,186,159,175,149,95,92,94,93,130,129,128,128,126,127,129,132,132,130,128,124,123,128,109,116,135,132,123,133,137,141,138,138,113,96,96,104,121,119,119,118,118,118,118,118,117,119,119,114,113,117,122,122,118,117,121,121,118,117,117,117,122,118,122,120
17,148,149,151,152,154,156,158,159,160,161,162,164,164,164,166,167,168,169,170,170,170,171,171,171,172,172,172,172,147,149,151,152,154,157,159,159,160,162,163,164,165,165,166,168,169,170,170,170,171,170,171,172,173,172,172,173,148,149,151,154,156,158,159,160,161,162,164,165,166,167,167,169,170,171,165,158,157,150,162,173,174,173,174,174,149,150,152,155,158,159,160,161,162,164,165,166,167,168,169,171,171,173,165,138,123,116,142,173,175,175,174,174,150,151,154,156,158,160,162,163,164,165,167,168,168,169,171,172,172,176,177,144,106,97,138,174,176,176,175,175,151,152,154,157,159,161,163,164,165,166,167,168,170,170,172,173,173,176,182,154,112,94,145,176,176,177,176,176,151,153,155,157,159,161,163,164,166,167,168,169,170,170,172,174,175,177,185,165,125,105,156,177,177,177,177,176,152,154,156,158,159,162,164,165,167,168,168,170,170,161,159,171,176,179,188,168,133,121,167,179,179,178,178,177,152,155,157,158,160,162,164,166,167,168,168,170,172,157,138,151,172,181,188,166,133,128,171,180,179,179,179,178,153,155,158,159,161,163,165,166,168,167,164,165,174,165,148,141,153,166,180,163,132,127,170,180,180,180,179,179,154,156,158,159,162,164,166,167,173,171,151,141,164,175,174,165,141,126,148,154,133,127,170,181,181,181,180,179,154,156,158,160,163,165,166,169,179,175,149,132,153,164,179,181,156,118,115,132,124,124,169,181,181,181,180,180,154,157,159,162,164,165,167,172,175,163,156,138,135,129,148,185,174,133,102,110,111,118,168,182,182,181,180,180,155,157,159,162,164,165,168,176,174,147,137,125,105,94,113,181,187,151,107,96,98,111,166,182,182,182,181,181,156,158,160,162,164,166,168,178,170,142,127,123,105,101,114,174,195,164,119,94,94,106,162,183,183,183,183,182,156,158,161,163,165,166,169,181,174,154,140,131,119,126,132,172,197,170,130,97,92,104,159,183,183,183,183,183,157,159,162,164,165,167,172,184,169,149,139,132,130,144,158,183,189,169,138,101,88,101,159,183,184,184,184,184,157,159,162,164,166,168,177,183,161,142,135,133,140,156,189,198,178,160,136,100,84,98,160,184,185,184,184,184,157,159,162,165,167,169,181,186,163,146,135,137,148,176,204,198,174,152,129,98,82,99,163,185,186,185,184,184,157,159,162,165,168,170,186,189,167,151,138,140,158,194,202,192,169,145,123,95,83,109,172,185,185,185,184,184,158,160,163,166,168,170,189,190,172,159,144,146,173,204,199,187,163,137,117,93,86,129,179,185,185,185,185,185,158,160,164,167,168,171,194,192,176,167,155,152,181,203,193,183,161,130,110,90,96,154,184,185,186,185,185,185,158,161,165,167,169,172,196,196,181,175,165,158,181,196,186,177,158,127,104,89,115,173,185,186,186,185,185,185,159,162,165,167,169,171,193,200,186,179,170,163,174,189,182,174,154,123,99,91,140,183,186,186,185,185,185,185,159,162,165,167,169,171,188,201,188,177,168,166,170,181,177,176,155,120,97,97,157,186,186,186,186,186,186,186,159,162,165,167,170,171,185,198,186,174,165,165,170,175,172,176,156,120,97,106,168,187,187,187,187,187,186,186,160,162,164,167,170,172,185,196,184,173,164,164,169,172,169,173,150,117,99,125,178,187,187,188,188,187,186,186,159,161,164,167,170,172,186,197,188,176,167,167,172,171,166,169,141,111,101,145,184,187,187,188,187,187,186,186
15,78,78,79,81,81,83,86,97,109,119,128,136,144,148,148,151,157,161,166,170,174,177,178,180,183,185,186,189,78,78,80,80,80,82,87,98,108,119,129,137,144,148,149,152,157,162,167,171,174,178,179,182,185,187,188,191,78,78,78,80,82,82,87,99,110,121,129,139,146,149,148,152,157,163,168,171,176,179,181,184,186,189,191,193,78,78,78,81,83,83,88,99,111,121,131,139,146,150,150,152,159,166,169,172,177,179,182,185,187,190,191,193,78,78,81,78,79,81,88,101,113,122,132,141,145,150,151,153,159,165,169,173,177,180,183,186,188,191,192,194,79,80,75,92,109,90,91,101,114,124,132,142,148,151,152,155,160,166,171,174,178,181,184,186,189,191,192,195,79,78,77,178,150,125,123,116,112,117,131,139,137,138,145,157,165,169,173,176,177,182,184,187,191,192,193,196,79,77,85,166,131,116,116,113,101,118,118,121,113,114,116,123,135,153,168,179,184,185,185,187,190,192,194,197,78,80,76,102,102,85,91,81,85,111,100,103,98,120,122,116,116,119,128,135,144,167,192,188,190,192,195,198,80,78,79,78,79,80,82,77,82,87,83,79,86,119,116,114,117,120,130,116,100,94,138,200,189,193,196,199,78,78,78,81,81,83,90,103,112,113,116,112,103,105,100,97,91,124,140,128,112,110,76,144,204,191,197,199,78,78,79,79,81,81,89,104,115,129,137,145,151,131,95,90,126,144,143,135,108,127,104,69,166,204,195,200,78,79,79,80,81,82,91,104,116,123,139,159,147,129,107,138,179,128,144,115,145,134,120,96,77,189,202,199,78,77,78,79,81,80,91,106,110,145,185,151,115,108,94,105,163,106,100,153,160,126,154,124,73,100,210,200,77,76,77,77,79,78,89,106,104,181,185,111,100,110,108,85,107,68,100,197,118,127,161,137,100,54,148,215,77,76,75,77,78,78,89,106,104,167,154,97,109,127,133,124,100,71,114,149,83,122,161,145,109,73,69,165,76,75,74,76,77,78,91,106,105,161,143,78,120,134,145,132,95,91,99,102,109,128,135,127,102,75,65,73,75,74,74,76,77,78,89,105,105,163,195,113,109,135,143,122,85,87,98,102,115,121,106,84,81,72,67,70,73,74,74,76,76,76,88,105,107,163,162,188,143,102,92,84,81,94,96,99,107,122,105,71,70,70,70,74,73,74,72,75,74,76,87,103,107,202,163,167,171,126,86,41,49,81,100,105,116,126,100,72,70,71,73,75,69,71,71,72,72,74,87,101,110,145,159,175,161,151,121,65,20,30,59,115,112,107,84,73,75,76,74,73,72,71,69,70,69,73,85,98,111,118,130,145,136,139,120,110,49,38,56,112,126,104,88,86,88,87,80,74,128,123,119,115,117,119,119,122,124,128,133,134,117,111,138,167,89,40,72,72,120,132,119,104,94,86,78,75,106,105,105,107,110,108,107,106,98,98,100,105,109,104,114,182,94,81,87,71,85,98,99,92,82,77,73,71,110,109,109,110,109,109,110,112,106,106,110,110,111,112,106,121,100,115,115,109,108,93,78,75,73,69,66,66,115,112,111,113,113,112,112,114,114,113,116,114,114,116,117,112,117,113,116,117,134,127,102,84,76,70,66,67,117,116,114,113,115,114,115,115,115,116,115,116,115,115,115,115,116,116,114,113,128,135,124,95,88,99,89,71,116,115,113,113,115,117,116,117,116,117,118,116,115,116,115,115,116,116,115,117,105,136,172,117,126,132,114,95
13,186,188,191,192,192,194,196,197,199,199,199,200,201,201,201,201,201,200,200,200,200,200,200,201,200,199,199,198,187,189,192,193,193,196,199,200,200,200,201,201,202,203,203,203,203,202,201,202,201,200,201,201,200,201,201,201,189,191,194,194,197,199,200,201,201,201,202,203,205,205,205,205,205,205,205,204,202,201,202,203,203,202,203,202,191,193,194,196,198,200,201,202,202,203,204,205,207,207,206,207,206,211,211,199,204,203,204,205,205,205,205,204,194,195,196,198,200,200,202,204,204,205,205,206,207,207,207,208,210,240,220,172,185,209,201,203,207,207,206,206,194,197,198,200,201,203,205,206,206,207,207,207,207,211,209,208,220,243,211,163,180,221,177,159,203,207,208,207,196,198,200,201,202,204,206,207,207,208,209,208,213,240,222,196,234,232,214,151,193,215,173,121,175,209,209,208,197,199,202,203,204,206,208,209,209,210,209,209,228,251,235,199,207,194,174,119,195,209,159,110,154,212,210,210,198,201,203,204,206,208,209,209,209,212,213,223,219,243,244,218,165,114,112,106,191,181,125,97,156,213,212,212,200,202,204,206,208,209,210,211,211,212,233,244,212,196,248,227,180,107,98,130,198,174,133,107,162,215,215,214,202,203,205,207,209,210,211,213,213,219,251,251,229,178,220,224,178,121,77,113,205,226,215,150,171,215,215,216,202,204,207,208,210,212,214,215,213,237,248,252,242,201,161,203,168,120,85,134,210,223,215,182,175,217,217,218,204,206,209,210,211,214,215,215,216,248,239,239,236,196,129,180,188,134,137,226,234,215,196,183,154,217,218,219,204,207,210,211,213,216,216,216,230,253,241,217,206,163,110,154,202,168,220,246,238,215,186,165,144,216,221,219,206,208,211,213,214,215,217,218,234,254,246,219,196,160,121,105,195,229,249,243,233,207,177,147,160,220,221,220,208,210,213,215,215,215,218,220,234,254,247,221,187,174,147,131,238,253,252,242,222,190,164,136,180,222,223,221,209,211,214,216,216,217,218,220,238,255,250,231,214,193,213,224,253,253,248,238,210,184,155,130,194,224,224,223,209,212,215,217,218,219,221,221,240,255,253,241,234,217,226,235,253,248,240,232,204,175,140,128,211,225,225,224,211,214,216,218,218,221,223,222,236,254,254,248,238,225,225,230,250,241,230,224,199,154,127,158,225,226,227,225,213,215,217,219,221,221,223,224,230,254,254,249,236,220,224,230,241,227,218,209,173,130,123,210,229,227,228,227,215,217,218,220,222,223,224,221,219,242,236,225,209,202,215,220,233,218,206,184,142,110,159,229,229,230,229,229,215,217,220,221,222,219,180,170,165,158,144,131,125,120,121,125,136,130,130,126,111,117,216,230,230,230,230,230,215,218,221,222,223,214,152,148,147,138,124,117,110,104,97,92,79,70,66,60,58,77,154,220,231,231,230,230,216,219,221,223,226,222,156,145,144,133,122,118,112,101,94,85,75,67,61,54,51,52,57,123,232,231,232,232,218,220,221,223,227,227,162,145,140,130,122,117,109,99,90,82,72,64,58,53,50,51,53,159,234,235,234,233,216,219,221,223,225,228,165,146,140,130,128,119,107,94,87,80,72,63,57,52,50,49,116,230,235,235,234,234,216,218,220,222,225,227,168,142,140,129,126,117,103,90,82,77,70,63,57,53,51,59,205,235,236,235,234,234,216,219,221,224,227,228,167,141,136,128,121,112,99,88,81,78,71,63,57,51,50,98,233,235,236,235,235,234
7,176,178,180,181,183,184,185,186,186,187,186,186,186,186,186,185,185,184,184,183,182,182,180,180,178,177,177,176,178,180,181,183,184,185,186,187,187,188,188,188,187,187,187,186,186,185,184,184,184,182,181,180,179,179,178,178,179,181,183,184,186,187,188,189,190,190,190,189,189,189,189,188,187,186,186,186,185,184,182,181,180,180,179,179,181,182,184,186,187,189,191,191,191,191,191,191,191,191,190,189,188,188,187,186,186,185,184,183,182,181,181,180,182,184,186,188,189,191,193,193,193,193,193,193,193,192,192,191,190,189,188,187,187,186,185,184,184,183,182,181,184,186,189,190,192,194,195,196,196,195,195,194,194,194,194,193,192,191,190,189,188,187,187,186,185,184,183,182,186,188,190,192,194,195,195,196,196,196,195,194,194,194,194,194,192,191,191,190,188,188,188,187,187,186,184,183,187,189,192,193,194,189,178,171,175,179,177,171,170,170,174,177,175,172,173,167,170,182,184,187,188,187,185,185,189,191,193,193,189,177,155,138,135,141,147,144,138,133,142,153,153,147,148,139,153,175,170,184,190,188,187,186,190,190,189,186,180,171,160,143,120,111,122,128,126,117,122,133,135,132,129,126,137,154,158,183,190,189,188,187,186,184,179,175,173,172,169,147,110,97,107,117,112,99,100,103,111,117,114,111,117,129,157,185,180,185,189,188,179,176,174,171,165,161,161,137,99,92,103,116,116,107,99,105,128,142,136,127,131,138,163,184,162,176,191,190,176,173,169,164,156,152,153,140,107,85,84,96,105,111,108,107,129,144,140,131,131,132,137,150,157,183,193,192,174,168,162,158,155,153,153,147,120,82,63,67,84,97,100,102,114,120,122,120,126,135,145,163,183,194,194,193,168,162,156,153,151,150,149,139,113,80,60,72,119,128,126,131,142,151,158,167,178,187,191,196,197,197,195,195,161,155,150,147,143,141,139,129,106,76,62,73,143,193,193,195,199,201,202,202,202,202,201,201,200,199,197,195,157,152,148,146,144,142,140,134,112,78,62,64,108,193,210,210,209,208,207,205,204,204,203,201,200,200,198,196,157,155,151,148,144,142,144,139,115,81,66,63,86,178,212,211,210,209,208,207,206,206,204,203,201,201,199,198,162,161,157,148,141,134,133,128,107,84,74,67,73,151,209,212,210,210,209,208,208,207,206,204,203,201,200,199,162,161,155,145,135,126,119,111,96,85,82,72,66,115,201,214,212,211,210,209,208,207,207,205,204,203,201,200,154,150,140,126,117,109,103,94,84,82,83,78,79,129,203,214,213,212,210,209,208,208,207,206,205,203,201,200,136,132,118,102,96,99,102,89,80,86,96,116,150,186,211,214,212,212,210,209,208,208,207,206,205,203,202,200,94,99,92,94,118,148,171,157,138,143,165,190,208,213,215,214,214,213,211,210,209,208,207,207,206,204,202,201,36,42,54,120,186,204,211,210,207,207,213,216,216,216,216,215,215,214,212,211,211,209,208,207,206,205,203,202,11,14,52,162,210,213,215,215,216,217,217,217,217,217,216,216,215,214,214,213,211,209,208,208,207,206,204,202,13,20,102,195,212,214,215,216,218,218,218,218,218,217,216,216,215,215,214,213,211,209,209,208,207,205,203,201,21,40,154,207,211,213,214,215,216,217,217,217,217,216,215,214,213,213,213,212,210,208,206,200,190,182,173,164,25,46,158,198,199,201,202,203,203,204,203,203,203,202,201,200,199,198,198,197,195,192,179,151,122,104,89,77
13,191,192,193,192,191,192,193,195,193,192,193,194,195,196,196,195,195,195,196,196,196,195,194,194,194,193,192,192,193,194,195,194,193,194,196,195,195,195,195,195,194,197,198,198,198,198,197,196,198,196,195,195,197,196,193,192,194,196,195,195,196,196,196,196,197,196,197,197,197,197,197,196,196,195,200,201,200,198,196,197,197,196,195,195,193,195,196,196,196,198,198,198,196,196,197,199,199,197,199,208,206,176,150,182,192,198,202,199,199,197,197,197,194,195,196,197,196,199,199,197,197,196,198,200,196,207,231,233,228,192,139,99,120,125,184,204,199,198,198,197,195,195,196,198,198,197,197,198,201,200,198,198,198,206,199,214,227,203,147,96,80,92,116,213,196,199,199,198,196,196,197,198,198,198,198,199,201,197,203,188,164,190,163,155,199,205,173,110,89,147,111,203,200,200,201,199,196,197,198,198,199,200,200,201,200,203,229,188,141,177,191,184,197,190,194,118,84,120,103,200,202,201,202,200,196,197,198,199,199,199,200,200,194,209,238,199,169,133,155,193,200,176,128,87,48,118,189,203,203,202,202,202,196,198,197,198,199,202,196,207,205,140,156,212,193,152,72,114,186,185,148,127,95,94,207,205,203,202,202,201,195,197,199,199,198,195,203,229,198,122,84,177,218,170,94,21,106,144,158,185,167,95,137,216,200,204,202,202,195,196,198,199,197,208,231,211,175,133,89,130,226,170,127,50,40,52,171,208,192,151,90,188,208,203,203,202,197,196,197,196,203,223,201,177,178,151,111,84,221,180,155,89,48,47,125,222,206,175,111,111,212,201,201,201,199,198,199,197,217,206,162,156,189,161,129,53,163,214,174,131,45,58,112,211,213,176,139,88,172,211,202,201,199,198,199,200,221,213,184,148,189,167,140,99,52,200,200,160,96,84,208,201,198,171,147,98,146,217,202,204,198,197,196,201,215,203,186,150,148,176,173,144,42,77,208,191,178,123,204,199,172,139,126,86,157,215,202,204,196,196,197,197,218,223,203,176,139,142,182,156,136,39,139,202,174,179,198,182,159,127,95,79,187,209,204,203,203,203,204,202,216,227,214,188,173,153,155,152,175,106,173,219,204,212,191,170,149,120,87,97,206,204,205,204,151,154,160,158,199,232,221,201,181,173,174,156,125,137,213,227,226,202,187,167,141,111,75,137,219,210,211,210,86,85,89,74,152,237,219,210,193,180,183,183,149,137,200,225,223,202,171,156,133,100,78,120,153,153,157,157,92,92,93,84,113,224,213,214,210,195,185,181,169,128,162,220,212,195,167,136,118,91,86,85,78,74,77,85,92,92,92,95,85,190,213,209,213,209,196,183,168,147,131,200,199,180,159,124,104,89,81,85,94,117,146,176,92,93,95,97,84,127,217,205,215,215,198,184,164,152,134,162,185,163,137,119,99,77,93,165,188,204,211,211,92,93,94,94,99,83,172,215,209,206,188,172,159,145,133,136,160,152,130,112,96,64,161,229,205,196,187,197,93,94,94,92,98,86,111,217,203,186,171,162,154,142,121,119,145,154,139,101,81,80,209,211,193,182,160,154,92,94,93,92,91,95,86,189,209,172,156,158,151,138,114,104,151,167,127,91,65,140,226,204,188,144,133,138,92,93,94,92,91,99,82,163,216,182,176,169,152,132,117,102,160,159,103,81,78,209,219,220,196,135,104,135,93,93,95,91,91,97,81,152,222,192,191,179,158,138,125,100,161,140,95,67,116,222,206,230,216,152,94,114
10,64,65,67,70,75,79,85,95,104,111,116,120,122,126,129,132,135,137,139,141,143,144,145,146,146,146,147,148,64,66,68,71,75,79,86,96,105,112,118,121,124,127,130,133,136,138,139,140,143,144,145,147,147,147,147,148,64,66,69,72,76,80,87,98,107,114,120,122,125,128,132,134,137,145,142,129,140,146,147,148,149,149,149,148,64,67,70,73,77,81,89,100,109,116,121,124,127,130,134,136,139,156,147,110,129,148,149,150,151,151,150,150,65,68,70,74,78,82,91,102,111,118,123,125,129,132,135,138,141,156,152,111,114,146,152,153,153,153,153,153,66,69,71,74,78,83,92,104,112,120,124,128,131,135,138,141,144,153,158,120,103,139,154,156,156,156,156,156,67,70,72,75,79,84,94,105,114,122,126,129,133,137,140,143,147,152,161,134,104,129,155,158,158,158,158,158,67,70,73,77,80,85,95,107,116,123,128,130,134,139,142,146,150,151,155,142,109,117,155,160,161,161,161,160,68,71,74,77,80,86,97,109,118,125,129,131,135,140,144,148,158,144,119,127,117,108,150,163,164,164,164,164,69,71,74,78,81,87,99,111,119,126,130,133,138,142,146,152,162,129,94,111,136,111,142,165,167,167,166,166,69,72,75,78,82,88,100,112,121,128,131,135,140,144,148,155,163,127,97,99,141,116,132,166,169,170,169,168,70,72,75,79,83,90,102,113,122,129,133,136,144,153,151,163,172,144,122,100,117,113,121,164,171,172,171,171,71,73,76,79,83,91,103,115,124,131,134,138,157,180,168,171,162,150,141,108,93,101,109,159,172,173,173,173,72,73,76,80,84,91,104,116,125,133,145,153,163,192,186,178,143,127,142,123,91,85,94,148,173,175,175,175,73,74,77,80,84,92,105,117,126,136,173,187,159,159,179,183,142,102,128,139,108,81,80,134,173,176,176,176,73,74,77,80,85,93,107,119,128,139,180,195,161,125,144,170,132,87,99,136,123,91,76,122,172,178,178,178,73,74,77,81,85,95,108,120,130,141,161,157,160,142,118,129,103,68,79,124,129,105,83,114,171,179,179,180,73,75,78,81,86,96,109,121,131,142,161,144,145,142,103,107,103,76,102,134,135,119,93,109,168,180,180,180,73,75,78,81,86,97,110,122,133,143,171,159,131,114,99,113,120,126,155,156,141,126,101,107,164,181,181,181,74,76,78,82,87,98,112,124,134,145,177,170,143,123,114,125,147,178,181,157,140,124,103,110,165,182,182,182,74,76,79,82,87,99,112,125,135,147,190,191,163,137,133,151,196,206,178,146,128,115,103,117,169,183,184,184,74,76,79,82,87,99,113,125,136,148,195,203,173,151,154,177,217,202,169,141,118,106,102,127,176,185,185,186,75,76,79,82,87,100,114,127,137,149,198,207,178,168,167,190,216,192,160,135,114,101,101,139,181,185,186,186,75,77,79,82,88,101,115,128,138,148,193,203,185,181,179,201,206,177,147,125,109,100,103,149,184,187,187,187,75,77,80,83,89,101,116,128,138,146,182,203,198,191,188,203,191,159,133,115,104,99,110,162,186,187,188,188,75,77,80,83,89,102,116,129,139,144,171,206,206,190,179,184,172,146,124,110,101,97,122,175,188,189,189,190,75,77,80,83,90,103,118,130,139,144,159,195,197,180,166,165,160,146,127,112,101,95,136,183,190,190,191,192,75,77,80,83,91,105,118,131,140,144,152,179,182,169,160,159,157,153,134,113,98,94,145,186,190,191,192,193
23,170,170,171,169,170,171,171,170,168,168,167,166,165,164,163,164,162,161,159,158,157,155,153,151,151,145,47,26,173,172,173,172,172,173,172,172,171,170,170,169,167,166,166,165,164,163,161,159,159,157,155,153,156,139,33,23,173,173,173,174,175,175,175,174,174,173,172,172,171,169,168,167,165,164,164,162,161,160,158,155,164,115,22,21,177,176,176,177,178,178,178,178,176,174,173,173,173,172,172,171,169,166,165,165,164,162,160,155,167,94,14,16,180,178,179,179,180,180,179,180,178,177,177,175,166,168,170,168,163,170,169,166,166,164,162,158,163,70,14,9,180,181,181,180,181,180,180,180,179,178,179,166,135,129,142,141,128,111,163,169,166,165,164,162,160,48,14,4,182,182,183,183,184,183,181,182,181,181,174,154,159,138,136,146,142,85,101,181,166,167,166,164,167,67,13,6,184,184,184,185,184,185,184,184,184,183,173,159,143,107,87,116,108,108,62,136,179,167,167,164,171,95,20,8,185,184,185,186,186,186,186,184,184,181,176,154,126,78,111,128,133,105,93,65,150,175,168,165,169,121,83,13,186,185,186,186,187,187,187,186,186,177,172,138,129,80,179,187,186,153,106,72,127,180,169,168,168,140,114,52,187,187,187,187,187,188,188,188,186,170,163,124,121,114,190,183,183,187,174,159,175,174,171,170,170,150,98,136,188,188,188,188,190,190,189,191,181,167,156,116,108,146,172,158,156,142,151,185,177,174,173,171,172,153,125,130,189,190,191,191,191,191,190,190,167,158,147,131,135,145,149,150,152,132,79,170,174,175,174,172,172,163,146,143,191,192,192,191,191,191,192,169,141,141,148,157,166,173,172,163,149,123,77,158,162,143,174,174,171,172,157,114,192,193,193,192,191,194,185,166,152,144,146,148,157,153,142,133,123,123,87,132,173,122,144,181,173,171,171,130,193,194,194,193,193,194,184,165,153,141,134,141,147,149,153,148,132,121,94,66,136,101,120,186,173,173,172,166,194,195,195,195,194,197,177,170,173,148,140,140,146,152,146,143,141,84,61,34,77,54,117,188,174,174,172,171,196,197,198,199,196,200,170,169,169,143,136,143,151,153,148,144,130,73,41,29,36,63,171,179,177,175,173,171,197,198,199,198,197,202,171,153,167,159,160,161,156,154,144,131,96,57,44,37,45,161,187,178,178,177,174,172,196,198,198,197,196,200,170,148,176,170,163,158,132,118,102,73,68,61,45,34,135,192,178,179,178,177,174,171,198,198,197,198,198,201,168,152,170,160,153,142,115,77,43,47,70,54,37,66,184,180,179,178,176,173,174,174,199,199,199,199,198,203,168,153,161,152,152,144,116,66,34,51,47,45,37,110,194,179,179,176,175,179,173,153,199,200,199,199,199,203,166,154,156,151,155,153,107,51,30,32,38,52,42,152,192,180,179,185,183,145,107,117,198,199,199,199,198,203,167,152,154,163,166,143,91,59,39,43,56,53,64,185,183,188,185,142,102,60,111,125,205,206,207,207,205,210,165,146,156,169,162,127,87,65,45,47,63,41,118,203,186,157,101,44,40,40,118,135,149,153,156,160,165,172,145,146,163,170,156,118,81,67,48,47,50,62,180,157,97,53,36,38,36,29,97,147,88,88,86,86,88,86,122,153,160,163,146,110,79,65,47,44,47,67,86,52,30,45,33,36,27,27,57,147,104,103,105,104,100,99,136,153,154,150,127,99,71,59,44,39,49,46,48,34,27,46,30,29,27,28,25,98
8,194,194,194,194,195,194,197,167,139,195,194,194,194,193,192,190,190,189,188,186,185,184,183,182,180,179,178,176,196,195,195,195,195,195,191,144,99,194,196,195,195,196,195,193,193,191,190,189,188,187,186,184,182,181,180,178,197,196,197,197,198,198,180,121,108,203,198,197,197,197,196,196,194,194,193,192,190,189,188,186,185,183,182,181,200,199,199,200,200,196,167,93,146,206,199,199,200,200,199,197,196,197,196,194,192,192,190,188,188,186,185,183,200,201,200,201,202,195,150,78,186,204,201,201,201,201,201,199,199,199,197,196,194,194,193,191,190,188,188,185,202,202,202,203,203,194,147,86,197,204,203,204,205,204,202,201,200,200,199,197,196,196,194,194,193,190,189,187,204,203,203,204,204,191,136,90,204,206,203,181,168,204,205,202,204,202,201,200,193,198,196,195,195,192,191,189,205,205,205,206,206,185,129,85,202,208,191,159,115,140,162,133,172,206,201,198,157,179,200,197,196,194,193,191,207,207,207,207,207,190,162,99,180,207,190,177,142,89,122,116,99,170,140,152,162,129,206,200,198,196,195,193,207,207,208,208,209,194,179,123,159,203,188,193,154,100,95,119,102,154,127,102,160,125,157,207,199,197,195,194,208,209,209,209,209,200,177,144,147,175,181,197,161,107,80,102,131,155,115,83,143,151,102,156,201,200,197,195,209,211,210,209,210,203,188,176,157,156,141,181,163,117,73,77,142,145,100,70,115,169,133,94,161,205,198,196,211,213,211,211,212,205,199,171,145,132,135,149,171,120,70,71,145,133,90,53,112,182,142,79,154,207,199,197,212,213,214,212,214,205,187,147,118,102,105,117,185,151,94,78,144,118,71,40,150,183,121,83,196,203,200,199,213,214,214,214,214,203,191,165,134,96,83,71,171,194,131,83,144,107,54,78,162,161,89,138,210,202,201,200,214,215,214,215,215,197,192,176,136,89,84,80,162,186,130,89,124,113,126,131,164,124,78,193,208,204,202,201,215,215,215,215,214,193,197,178,134,100,84,99,185,147,83,104,132,144,148,117,128,86,107,214,206,206,203,201,215,215,216,216,214,197,198,172,144,106,92,112,168,161,158,178,172,151,139,96,88,59,166,213,207,206,204,202,215,216,217,216,213,198,195,178,146,103,103,150,193,197,204,192,167,146,123,79,55,123,213,210,208,206,206,204,216,215,216,216,213,191,195,185,146,109,122,182,201,203,203,181,157,133,102,56,111,213,213,210,209,208,206,205,214,214,217,217,214,192,188,182,153,120,139,188,199,209,195,167,144,117,69,97,209,213,210,209,208,207,205,203,216,216,217,217,217,197,190,181,155,122,146,184,183,187,171,149,124,82,83,201,214,210,208,208,208,207,204,202,217,217,217,218,217,197,191,183,153,131,146,179,170,165,140,118,83,71,189,217,211,211,209,209,208,207,206,203,216,216,217,217,215,199,187,175,158,145,145,174,163,146,121,79,62,177,221,215,215,214,210,209,207,207,207,206,217,217,217,218,209,195,185,179,174,156,146,165,150,123,90,62,172,221,216,216,215,214,211,210,210,211,212,190,218,220,221,222,200,193,187,187,172,155,155,162,134,94,59,156,225,217,218,216,215,217,216,209,195,178,140,91,148,153,157,161,174,199,197,190,171,157,156,146,112,72,82,197,203,204,204,205,205,182,141,108,79,67,52,50,104,105,105,102,163,205,195,179,164,158,140,127,100,63,78,111,116,119,120,120,105,76,53,50,45,42,46,41
10,47,72,79,84,89,95,103,113,121,126,130,134,138,142,145,148,151,153,154,155,155,155,156,157,157,157,156,155,51,74,80,85,90,96,105,114,122,128,132,136,141,145,148,150,155,162,153,154,158,157,158,158,158,158,157,156,55,76,81,86,91,97,106,117,125,130,135,140,145,148,151,153,164,177,148,146,159,160,161,160,160,159,159,158,60,77,83,87,91,98,108,119,128,133,138,143,147,150,153,156,168,183,151,138,160,163,164,163,163,162,161,160,65,79,84,88,92,99,110,122,130,136,140,145,150,154,157,158,169,188,165,137,159,166,166,165,165,164,164,163,69,80,84,88,93,100,112,124,135,150,145,141,151,157,160,161,169,195,181,140,156,169,169,168,167,167,166,165,74,81,85,89,94,102,114,125,142,170,144,118,137,158,160,161,171,195,186,143,152,171,171,171,170,170,169,168,77,82,86,90,95,103,115,127,140,158,134,106,113,153,147,145,170,195,191,146,145,172,174,173,173,172,171,170,79,82,86,91,96,104,117,129,139,145,136,117,117,150,127,122,166,196,194,147,135,171,177,176,175,174,174,173,81,83,86,91,96,105,118,131,140,145,147,141,141,158,120,99,153,187,173,133,120,167,179,179,178,177,176,175,83,85,87,91,96,106,120,133,142,147,152,157,156,166,130,96,127,159,135,110,106,160,181,181,181,180,179,178,85,85,88,92,97,107,121,135,144,148,154,161,162,168,149,121,108,113,103,98,99,154,183,184,184,182,181,180,86,86,88,92,97,107,122,136,145,150,155,167,170,155,159,155,130,99,85,88,93,140,184,187,186,185,184,182,86,86,88,92,98,108,123,137,147,151,158,178,180,143,140,174,165,133,100,84,83,119,180,190,189,188,186,185,86,87,88,92,98,109,124,138,148,155,167,178,186,151,115,159,186,163,128,85,72,103,177,192,192,190,189,188,87,87,88,92,98,110,126,139,149,166,187,168,171,151,118,157,196,176,141,90,69,97,174,194,194,193,191,190,87,86,88,93,98,110,127,141,151,172,199,166,147,159,148,186,197,172,142,98,71,86,164,196,196,195,194,193,87,87,89,93,98,111,128,142,151,166,190,170,142,177,178,202,200,169,139,102,75,82,161,198,199,198,196,195,87,87,89,93,98,112,129,143,152,160,180,174,150,175,162,191,200,170,133,101,79,87,167,200,200,200,198,196,88,87,89,93,98,113,130,144,153,159,177,189,173,159,135,191,197,164,128,98,82,94,174,202,202,201,200,199,88,87,88,92,98,113,130,144,154,160,171,199,200,169,155,201,193,158,123,96,84,100,179,204,204,202,201,200,88,87,88,92,98,113,130,145,155,160,168,193,218,208,195,203,182,149,119,97,87,108,186,206,205,204,202,201,88,87,88,91,98,113,130,145,155,160,167,183,211,216,198,184,168,142,119,103,91,120,193,207,206,205,204,202,87,86,86,90,97,113,130,144,154,159,166,166,166,198,181,164,162,150,134,114,94,130,198,206,206,205,204,203,86,84,85,88,96,112,129,144,153,159,166,144,99,169,174,169,170,166,153,122,88,123,196,207,207,206,205,203,84,82,83,86,94,111,129,144,154,159,165,129,64,141,185,178,163,160,143,103,64,91,188,209,208,207,205,204,82,81,81,85,92,109,127,143,153,159,162,115,51,100,148,144,129,123,101,61,37,95,194,209,208,207,206,204,86,83,83,85,92,108,126,141,151,158,157,106,48,64,79,74,65,61,47,26,26,116,201,208,207,207,206,205
3,134,137,139,141,143,145,146,147,148,147,148,147,146,146,146,146,144,142,144,141,140,140,139,137,136,134,132,131,136,139,141,143,146,147,148,149,150,150,150,149,148,148,148,146,152,144,128,145,141,141,140,139,137,136,134,133,138,141,144,145,148,150,151,151,152,152,152,151,151,150,150,146,166,147,87,139,146,143,142,141,139,137,136,135,140,142,145,147,149,151,152,153,154,153,152,153,153,152,152,148,165,145,82,125,151,145,144,143,141,140,138,135,142,145,147,149,151,152,154,155,156,154,154,154,154,154,154,150,163,148,86,121,154,145,146,145,143,141,139,138,143,146,148,151,153,154,156,158,158,156,156,156,157,156,155,151,165,169,102,112,155,148,148,146,144,142,140,139,144,147,150,151,154,156,158,159,159,159,159,158,159,157,157,152,168,176,105,99,155,150,149,148,146,144,142,140,145,149,151,154,157,159,159,160,161,161,161,161,160,159,159,156,170,170,100,93,154,150,150,149,147,145,143,141,147,150,153,156,159,160,161,162,163,162,162,161,161,161,161,155,177,176,107,94,156,152,151,151,149,146,144,142,149,152,155,158,160,162,163,164,164,165,164,164,162,162,160,158,154,149,105,91,156,154,153,152,150,147,146,144,151,155,158,160,162,164,165,166,167,166,166,165,164,161,171,175,114,82,74,87,161,154,155,153,151,149,147,145,152,156,160,162,164,166,168,168,169,168,168,169,175,163,125,134,156,113,59,107,170,160,156,155,153,151,148,146,155,159,161,163,166,168,170,170,171,169,172,145,160,163,104,80,177,122,89,91,120,138,158,155,154,152,149,147,155,160,163,166,167,169,171,173,172,176,182,134,94,148,133,90,142,124,105,90,111,93,135,162,154,153,152,149,158,162,165,167,169,171,172,173,175,193,179,161,112,122,144,86,104,138,125,104,116,78,119,166,156,155,152,150,160,163,166,168,170,172,175,172,187,179,173,170,120,98,130,85,101,110,88,105,99,69,115,168,157,156,153,151,160,165,167,171,172,173,176,174,197,185,152,157,122,82,113,83,104,151,78,116,125,74,106,170,158,158,155,153,161,166,168,172,173,175,177,177,184,169,138,146,103,70,111,69,101,182,90,99,137,77,84,168,160,159,156,154,162,166,170,172,174,177,178,178,183,188,168,143,99,89,107,83,80,135,96,102,114,72,79,166,162,160,158,156,164,168,170,172,176,177,179,179,189,193,180,145,102,89,116,104,136,167,135,120,90,60,120,173,162,162,160,158,162,168,171,173,177,177,180,179,187,197,188,150,115,98,103,153,174,152,117,100,85,67,163,168,164,163,161,160,161,167,171,174,177,177,179,180,184,195,183,148,144,106,126,186,162,127,108,96,76,104,176,163,164,162,160,159,162,168,172,174,178,179,181,181,185,188,177,158,148,120,121,156,147,118,104,86,69,152,172,165,165,162,159,157,163,169,173,176,178,181,180,191,108,150,181,160,147,125,102,120,117,101,87,70,127,178,168,167,164,163,165,166,164,168,172,175,177,179,183,175,60,72,152,157,146,109,85,85,89,89,70,124,179,170,173,176,176,169,144,104,167,173,176,179,181,182,194,126,59,61,68,106,113,78,76,73,77,63,59,176,181,178,159,130,117,90,55,41,128,130,133,134,134,134,133,80,65,62,55,51,58,76,75,60,57,39,10,76,112,84,52,34,29,28,35,40,101,101,102,103,101,102,84,66,71,57,56,52,50,39,32,32,28,24,17,28,34,27,30,31,37,36,28,33
21,145,148,152,155,158,159,162,163,164,166,166,168,168,168,169,167,167,166,166,165,165,164,162,163,161,159,159,158,144,149,153,157,158,161,163,165,166,166,168,169,171,171,170,168,167,168,168,166,166,165,164,163,163,161,160,159,147,150,153,157,159,162,164,165,167,168,170,172,173,171,175,145,143,171,170,169,168,166,166,165,164,163,162,161,148,151,155,158,161,164,165,166,168,171,173,173,174,173,186,132,107,172,171,170,169,168,167,166,166,164,163,162,148,152,157,160,162,165,168,169,170,172,174,174,174,175,185,131,113,173,173,172,170,167,166,169,168,166,166,165,150,153,157,162,163,166,168,171,172,173,175,175,175,181,183,130,116,174,174,173,169,147,123,168,169,168,167,166,152,155,159,163,165,167,170,172,173,174,175,176,178,185,181,131,123,176,175,173,165,133,99,166,170,169,168,167,152,156,160,164,167,170,172,173,174,175,177,178,179,188,177,132,126,177,176,173,161,127,109,171,172,171,170,168,152,155,160,164,167,170,172,174,176,178,179,179,179,192,174,130,122,178,177,172,155,117,132,174,174,172,171,169,152,157,161,165,168,171,173,174,177,179,179,180,180,197,174,128,119,178,177,169,150,108,158,175,175,173,172,171,154,158,163,168,170,172,174,176,178,180,181,181,181,204,174,122,131,180,173,162,136,111,174,177,175,174,174,172,156,160,164,167,170,173,175,177,179,180,178,176,182,199,159,111,142,179,168,159,115,129,177,178,176,175,175,174,156,161,164,167,171,174,176,178,179,184,165,140,153,175,133,97,146,177,174,148,104,161,180,178,177,176,175,175,156,162,165,169,172,174,176,179,180,186,163,122,113,108,97,88,152,173,169,129,113,179,181,180,179,178,177,175,156,162,165,169,173,175,178,180,184,184,175,157,137,100,82,99,137,152,146,108,142,184,181,181,180,179,178,177,159,163,167,170,174,177,180,181,195,199,191,199,166,124,82,91,106,120,116,99,170,184,182,182,182,181,180,179,159,163,167,172,174,178,180,185,183,185,183,195,162,113,88,83,93,99,98,116,184,186,185,184,183,182,181,180,160,164,168,172,176,179,181,192,162,151,170,152,153,122,96,84,81,89,89,143,189,187,186,185,184,183,181,181,160,164,169,173,177,180,181,199,178,149,127,104,158,141,106,90,80,84,87,162,190,188,187,186,185,184,182,183,161,165,170,174,177,180,183,199,167,129,106,91,145,154,124,98,86,83,84,163,190,188,187,187,186,185,183,183,161,165,170,175,178,180,187,199,164,146,137,118,168,171,140,118,93,87,84,162,191,188,187,188,187,187,185,183,161,166,171,175,179,181,193,202,171,159,136,152,209,180,144,130,100,91,89,168,193,191,189,189,188,187,186,186,161,166,171,176,180,182,196,204,188,154,145,201,204,170,138,128,106,94,93,173,193,192,191,189,189,188,187,186,162,167,172,177,180,182,197,212,189,151,156,211,194,165,134,121,108,97,101,183,195,193,192,191,190,189,188,187,161,166,172,176,180,182,195,205,170,164,157,210,191,167,148,114,102,98,111,189,194,192,192,192,190,189,189,188,159,165,171,174,177,180,190,191,167,182,153,207,189,160,146,116,100,99,125,192,193,193,192,191,189,187,187,187,160,165,171,175,178,181,186,184,193,190,157,200,178,148,130,111,102,99,137,193,194,194,192,191,190,188,188,187,160,165,172,176,178,181,184,186,195,180,151,187,165,137,114,103,99,96,151,194,194,194,193,192,190,188,189,187
7,185,191,197,203,207,210,213,216,217,220,222,222,222,222,223,222,222,223,222,220,219,219,218,216,215,213,213,212,187,193,199,204,208,210,215,218,219,220,224,224,227,226,225,225,226,224,223,222,222,221,221,220,218,215,215,214,188,195,201,207,210,214,217,220,222,222,224,226,228,227,227,227,227,226,224,225,224,223,221,220,219,217,217,216,191,198,203,209,213,215,218,222,225,225,227,229,229,230,230,230,229,228,228,225,227,226,223,222,222,219,219,218,193,200,204,210,214,217,221,225,225,228,230,231,232,231,231,231,232,233,232,229,224,223,223,226,223,221,221,220,195,201,206,211,216,220,221,225,225,230,230,233,236,237,236,232,228,221,218,193,215,250,197,223,228,225,222,220,197,202,209,214,218,221,224,228,229,231,233,233,227,215,209,212,208,193,195,178,203,226,163,217,225,223,227,223,199,203,211,216,219,223,225,228,228,227,220,206,189,164,179,198,203,176,162,151,143,165,171,237,250,169,225,227,201,207,214,219,222,225,220,197,191,192,192,191,181,169,150,156,140,141,169,172,170,178,194,224,217,143,225,229,201,207,214,219,225,232,211,191,192,183,171,174,178,161,146,139,160,197,221,199,184,175,155,134,152,201,233,228,202,208,214,222,236,223,203,199,191,157,158,184,199,178,171,160,159,179,184,161,135,121,139,179,219,238,232,231,203,209,220,229,217,212,211,207,168,121,146,163,166,152,149,147,123,130,118,125,157,200,239,244,239,233,233,232,204,217,228,221,218,214,202,206,180,131,127,110,97,87,89,99,112,146,195,229,248,247,239,237,236,236,234,233,223,229,225,226,222,203,198,195,197,172,117,88,60,120,187,195,224,248,253,246,241,240,242,242,240,238,238,236,233,227,222,216,206,199,200,200,198,169,126,97,89,117,219,255,250,248,246,246,244,243,242,241,241,240,239,238,232,224,209,202,196,191,183,178,170,146,118,90,96,91,71,186,255,247,249,247,247,246,244,243,242,241,241,240,224,209,200,191,183,177,171,163,160,148,116,81,85,112,90,103,255,250,251,249,248,248,247,246,244,243,242,241,215,210,191,186,175,172,171,168,169,167,123,81,73,99,94,113,255,251,251,251,250,249,248,248,246,244,241,240,117,186,189,183,177,172,167,167,168,157,116,88,87,67,71,79,205,255,249,251,251,250,249,249,248,245,243,241,46,71,156,192,183,176,166,156,143,124,105,101,97,83,70,62,178,255,250,253,253,251,250,249,248,247,245,244,57,41,49,147,191,173,162,148,136,118,106,99,103,85,105,153,243,255,255,255,255,254,252,250,249,249,247,245,49,47,39,45,144,155,136,122,117,94,72,88,92,94,241,255,255,255,255,255,255,254,252,251,250,248,248,246,44,41,39,33,52,101,99,105,91,56,55,71,107,222,255,255,255,255,255,255,255,255,254,252,251,250,249,247,38,35,32,37,30,13,42,220,181,82,118,167,244,255,255,255,255,255,255,255,255,255,255,253,252,251,250,248,23,28,31,37,32,25,198,255,255,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,253,250,249,67,28,26,43,28,185,255,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,251,250,53,61,38,24,82,255,243,251,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,251,250,16,42,39,14,116,255,243,251,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,250,251,251
0,154,156,160,162,163,165,166,170,169,166,167,168,168,166,168,166,165,164,164,164,161,159,159,156,155,155,153,152,155,158,161,164,166,166,167,170,169,168,169,171,170,169,169,166,166,166,164,163,161,159,159,159,159,157,155,154,155,159,163,164,166,167,168,171,171,171,171,172,170,170,171,173,172,165,166,171,165,162,160,156,146,156,157,157,158,159,162,165,168,170,171,173,172,173,174,175,176,173,169,152,157,177,159,135,161,166,168,163,90,139,163,156,158,161,165,167,169,171,172,173,177,175,173,160,140,166,153,97,62,116,126,72,63,159,177,156,66,141,165,157,159,163,166,168,169,172,173,169,157,178,177,130,70,61,118,100,67,24,76,94,35,101,180,135,59,150,164,159,162,165,168,171,173,171,174,160,93,86,160,125,84,34,93,113,92,45,69,103,52,89,164,132,48,133,171,159,163,166,169,172,172,174,178,155,122,55,112,144,92,61,90,130,91,52,63,104,51,60,155,118,32,91,178,160,164,167,170,173,172,189,176,169,142,92,71,155,99,61,63,131,88,45,57,98,52,15,112,112,34,46,174,161,166,168,171,171,179,178,154,188,142,103,48,131,101,56,45,127,87,33,32,69,39,13,85,119,36,44,174,163,167,169,172,170,198,195,131,167,136,116,40,92,107,59,32,115,74,20,7,34,20,36,119,108,27,79,180,163,166,171,172,178,193,176,137,137,109,76,20,67,101,47,15,62,35,14,23,38,17,57,120,99,24,116,178,164,168,172,173,180,184,155,116,127,85,31,14,64,54,26,20,42,36,10,33,35,25,94,116,97,29,148,173,166,168,173,175,175,201,196,161,119,65,56,29,60,60,8,10,68,33,17,60,48,58,112,121,76,37,171,170,168,169,173,176,178,201,200,180,144,82,64,32,80,84,18,48,82,86,114,115,106,90,104,89,45,51,182,168,170,170,173,176,179,200,203,185,161,120,83,74,66,72,124,157,151,152,142,120,113,87,62,55,18,71,188,168,171,169,174,177,178,197,203,185,153,127,94,82,97,127,169,157,161,143,131,117,102,80,39,37,7,128,183,171,172,168,171,176,176,191,196,180,157,141,107,88,112,141,162,153,150,135,121,109,89,66,42,7,85,183,171,172,171,169,172,175,178,184,191,178,161,145,117,99,130,135,149,151,138,122,106,92,76,57,13,53,183,175,173,173,171,170,174,177,179,180,188,177,163,145,121,100,114,127,132,148,128,111,96,80,66,29,28,168,181,175,175,174,171,171,174,176,180,179,182,176,161,145,119,96,86,109,117,125,116,101,87,68,36,18,153,185,174,177,176,172,173,171,173,175,178,181,181,182,162,149,120,81,70,90,99,95,91,86,69,32,16,136,188,174,177,177,175,182,165,172,175,179,189,189,176,155,154,138,96,61,70,81,84,71,60,57,28,64,153,189,178,182,182,179,184,110,32,159,162,167,126,154,192,154,141,121,100,89,85,72,73,56,40,13,102,180,176,170,176,166,152,167,94,0,0,77,80,75,0,86,204,167,153,132,122,105,80,56,58,43,20,10,70,70,74,74,50,19,6,14,0,0,0,73,77,40,9,25,122,157,152,139,117,90,64,45,41,28,3,29,63,50,22,0,0,0,0,0,0,0,0,81,75,25,23,14,14,61,110,117,101,70,49,36,27,9,0,6,36,0,0,0,0,0,0,0,0,0,0,80,60,22,21,16,12,0,22,57,57,38,24,14,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,180,180,180,180,180,180,179,179,178,176,175,175,175,175,173,172,171,169,167,167,166,166,165,164,163,160,158,158,181,181,181,181,181,180,180,180,179,177,176,174,175,175,173,167,164,166,168,168,167,167,166,165,163,161,159,158,183,183,183,182,182,181,181,181,180,178,170,162,161,165,163,149,133,140,163,167,165,166,166,165,164,162,160,159,185,185,184,183,183,183,183,182,181,179,172,163,153,141,135,133,126,116,134,144,137,142,159,165,165,164,162,161,185,185,184,185,184,184,184,182,177,174,168,157,146,139,115,100,115,118,103,96,97,96,131,164,165,164,163,162,187,186,186,186,186,185,184,180,172,167,155,129,105,120,109,79,92,112,91,72,84,84,101,156,166,165,165,163,187,187,187,187,187,186,185,180,171,159,150,127,91,99,108,83,83,98,79,69,92,91,88,145,167,166,165,164,188,188,187,187,187,186,186,177,147,121,126,135,104,98,116,112,103,95,77,77,99,97,87,141,168,166,165,164,189,188,188,188,188,187,187,179,143,97,82,129,124,106,118,131,130,107,95,96,102,106,94,137,167,167,165,164,189,189,189,189,189,188,187,173,135,90,63,94,112,94,94,107,121,111,103,102,101,103,89,117,165,168,166,165,190,190,191,191,190,189,186,168,137,110,89,75,76,76,72,74,89,103,103,99,96,95,86,97,156,169,167,166,191,191,192,192,190,189,187,172,153,128,98,72,64,71,72,75,75,82,88,92,97,104,96,87,141,169,169,167,192,192,193,193,191,190,189,176,155,124,93,70,64,71,79,89,84,74,73,98,122,124,107,86,121,166,169,167,194,194,194,194,193,191,189,177,148,116,86,67,66,76,90,98,98,98,107,120,132,135,120,95,104,160,169,167,195,195,195,194,194,192,189,177,152,123,93,72,73,83,97,109,113,126,142,145,139,144,133,103,92,151,169,168,196,195,195,195,195,193,189,180,160,131,100,76,74,86,106,121,129,140,153,156,148,138,124,96,83,145,170,168,195,195,195,196,196,194,188,179,164,140,110,82,75,87,109,128,142,152,159,155,143,128,107,82,85,151,171,169,195,195,195,196,196,194,186,176,168,149,121,94,79,83,109,136,151,162,163,152,134,117,93,71,108,164,171,170,195,195,195,196,196,194,185,172,168,154,129,105,87,83,112,146,160,167,161,145,125,106,81,77,141,172,172,171,195,195,195,196,196,195,184,169,163,153,133,111,94,90,116,152,161,161,151,134,114,95,74,105,165,174,172,172,195,196,196,197,197,196,185,167,160,155,140,118,102,98,123,153,157,151,139,121,103,83,78,139,174,175,173,171,196,196,198,198,198,197,188,167,161,159,146,125,110,104,126,150,151,144,127,107,89,72,101,164,177,176,174,172,197,197,198,198,198,198,192,174,166,163,150,131,114,103,123,144,144,134,115,93,75,77,139,177,179,177,175,173,197,198,198,198,199,199,195,179,172,166,151,135,118,104,116,134,131,118,98,79,67,111,169,180,178,177,175,173,198,198,198,199,199,199,195,184,176,165,151,138,122,107,109,119,114,100,82,66,89,156,180,180,178,177,175,174,199,199,199,199,199,199,195,185,177,163,150,137,124,112,105,107,102,87,69,72,137,178,181,180,178,177,176,174,200,200,199,199,199,198,191,184,175,163,153,144,133,122,109,101,94,78,64,107,171,183,182,180,178,177,176,175,200,200,200,200,199,197,187,182,175,165,155,149,137,126,111,98,88,71,71,141,182,185,182,180,179,177,176,174
0,152,153,155,157,158,163,163,164,165,166,167,170,172,172,171,171,172,172,173,173,172,173,173,173,173,173,172,171,152,154,158,160,162,163,164,165,166,168,167,170,171,172,172,171,173,173,174,173,173,173,173,173,173,173,173,174,152,155,158,162,163,164,167,166,169,172,170,172,172,171,171,174,173,171,173,175,175,176,177,177,175,175,177,175,154,157,159,162,163,164,167,169,170,172,171,173,177,175,182,173,173,178,191,175,170,201,163,168,182,179,177,176,156,159,162,163,164,166,169,171,171,179,201,174,154,203,204,162,135,191,209,171,141,199,162,139,187,178,179,178,158,160,163,163,166,170,168,173,168,209,216,184,123,169,201,168,119,136,202,177,126,164,185,122,176,184,179,180,159,162,165,166,169,167,192,196,158,210,206,193,139,137,200,178,138,118,207,180,120,118,189,142,131,171,184,180,160,163,165,169,168,182,221,199,153,182,215,191,159,139,200,182,138,134,209,169,121,74,164,170,140,124,160,186,162,165,166,169,165,205,222,206,173,161,216,187,165,131,204,193,129,138,207,148,111,35,117,181,166,112,122,194,164,166,168,168,172,217,221,216,188,148,206,192,159,129,211,194,115,108,176,130,85,29,140,195,174,119,132,196,165,166,169,165,185,211,196,219,196,140,188,194,149,121,200,178,113,71,126,119,59,53,194,197,181,114,159,196,166,168,172,164,205,212,188,202,167,110,158,179,136,102,149,146,108,61,123,112,50,136,206,191,152,107,184,191,167,171,169,176,219,209,168,178,128,76,123,151,125,83,98,128,79,60,150,151,158,191,190,170,118,121,198,189,168,172,165,196,222,202,160,158,136,90,107,146,130,66,74,118,93,162,204,201,189,167,161,137,108,139,200,190,171,175,169,188,222,214,191,152,134,107,97,165,137,52,62,154,204,218,207,194,176,150,130,122,94,154,201,192,173,178,173,187,222,219,203,179,147,128,131,161,133,112,180,221,221,209,200,186,161,134,118,108,106,190,197,196,173,177,172,193,222,221,210,193,179,150,153,169,188,217,222,219,215,202,184,166,142,119,107,99,174,201,196,196,172,176,173,194,222,221,219,206,196,176,165,192,209,222,219,218,208,193,168,143,120,111,89,151,203,195,199,197,173,176,174,190,222,221,221,213,203,191,180,190,206,222,219,210,201,179,155,125,110,92,117,203,197,198,199,198,174,177,178,187,222,220,221,215,201,188,182,184,197,213,208,194,183,165,132,113,94,95,188,203,199,201,199,199,174,177,180,181,218,221,219,208,192,176,175,180,188,194,187,174,154,140,116,95,85,177,207,199,200,201,200,200,177,182,185,183,210,222,219,208,192,174,176,185,188,188,172,154,127,111,90,65,157,211,199,201,202,201,200,202,175,171,171,160,173,186,167,158,150,142,154,168,164,161,140,127,108,87,61,141,210,200,203,202,202,204,203,201,129,112,111,104,93,86,84,73,63,53,53,50,41,40,37,40,47,46,69,190,212,201,202,203,205,203,203,202,103,104,101,93,91,88,79,67,61,46,39,27,18,18,14,11,9,15,22,33,140,214,201,204,205,204,204,204,109,107,106,97,93,85,76,67,57,45,38,29,23,20,18,15,13,15,19,0,88,222,201,206,205,205,205,205,131,105,107,98,96,83,74,64,49,43,36,30,20,18,16,12,11,11,13,9,181,212,204,207,205,206,206,206,147,107,103,99,95,83,70,62,51,41,32,29,21,20,16,11,9,12,0,77,222,202,205,206,207,207,207,207
0,197,199,199,199,200,201,202,201,202,201,201,200,200,201,201,201,201,200,201,201,200,201,202,201,200,201,201,200,199,200,201,200,200,202,203,202,203,201,201,202,202,202,201,200,202,205,202,203,203,202,202,202,201,202,202,202,201,201,202,202,202,202,203,203,202,203,202,202,203,202,211,200,170,179,207,198,199,207,206,205,203,201,203,203,201,201,202,204,205,204,202,204,204,203,205,205,181,173,214,196,169,147,149,164,156,186,202,167,193,206,202,202,202,202,203,204,205,204,204,204,205,206,225,214,182,153,184,202,178,168,112,150,156,139,181,145,175,212,203,204,202,203,204,203,204,205,204,209,193,182,225,212,190,166,179,218,182,174,124,167,168,142,158,151,168,214,204,206,202,203,204,205,205,205,207,230,194,156,189,225,195,172,168,228,194,178,129,179,171,136,135,152,149,217,204,206,204,204,205,205,207,203,219,226,200,178,171,229,202,172,158,227,198,175,125,181,169,126,124,163,118,201,209,206,205,205,205,206,204,217,215,213,209,188,155,213,209,168,143,221,199,165,112,153,157,119,115,169,111,155,217,206,205,206,206,206,206,220,191,206,218,193,148,190,214,167,127,194,191,153,107,131,146,113,117,172,120,135,216,207,206,206,208,204,215,215,181,190,214,191,147,165,206,162,119,163,179,146,113,120,137,103,129,180,132,138,217,209,206,207,207,206,215,210,187,179,197,177,140,142,189,155,115,134,173,143,110,120,139,110,166,191,141,140,218,210,204,205,205,209,216,201,178,154,183,173,137,125,180,154,108,115,172,142,103,135,146,125,193,188,142,146,218,209,204,205,205,205,226,214,186,147,158,175,128,116,174,157,107,111,177,141,148,193,170,140,185,192,142,154,218,208,205,207,206,207,225,216,190,158,127,156,149,114,176,171,115,118,175,177,192,191,177,153,149,182,136,158,219,209,207,207,207,209,227,219,199,174,143,134,155,129,171,180,160,187,199,197,189,179,164,152,137,139,122,153,220,209,207,207,207,209,228,224,205,183,171,162,156,171,185,193,207,209,207,200,187,175,156,142,136,122,110,149,221,209,206,207,207,210,225,224,210,195,185,177,168,168,186,198,207,206,207,201,184,171,156,137,127,123,104,167,220,210,206,206,206,209,221,221,216,205,198,183,175,171,180,196,205,206,202,196,180,166,152,135,125,112,136,209,215,213,210,211,211,206,217,221,222,215,202,186,175,174,181,200,207,207,197,191,177,164,147,132,114,125,204,213,212,213,178,182,187,180,205,222,225,218,202,189,177,173,181,203,208,202,192,186,174,157,140,125,113,192,221,215,218,217,124,125,129,118,162,225,218,212,203,192,182,172,180,199,200,190,180,173,163,147,132,119,130,179,180,183,180,179,129,130,130,122,137,221,208,203,203,196,187,171,177,197,194,180,166,155,146,138,124,122,127,124,121,118,136,165,128,130,131,127,131,215,201,198,204,198,185,170,173,196,191,173,149,134,129,123,123,130,126,125,148,186,218,217,128,129,128,129,130,210,199,199,205,194,184,176,171,190,186,164,133,122,118,123,129,133,155,192,222,223,212,200,128,128,128,130,126,210,211,201,203,190,180,178,167,176,176,151,122,117,118,122,141,200,230,237,226,220,215,198,128,128,128,129,123,208,217,208,202,189,181,183,165,168,171,143,118,114,117,162,221,235,233,229,220,225,229,217,129,128,129,129,124,200,216,213,201,188,181,183,163,161,168,141,116,103,164,227,226,227,231,219,215,222,230,232
24,178,178,178,179,178,179,179,179,179,178,178,178,177,176,174,173,172,171,169,169,167,165,164,163,160,158,157,155,180,181,181,181,182,182,181,181,181,181,181,181,180,178,177,177,175,173,172,173,171,169,168,166,164,163,159,157,184,184,185,186,185,185,184,183,184,184,185,184,183,181,180,180,179,178,173,145,165,173,171,169,167,165,162,160,186,186,187,187,187,187,187,187,187,187,187,186,185,184,183,182,182,180,179,117,130,178,173,171,169,168,165,163,189,189,189,189,190,191,192,189,188,188,188,188,187,187,186,185,184,184,184,116,122,181,176,174,171,170,168,166,193,193,192,194,194,169,172,194,191,192,192,191,190,189,188,187,186,188,185,114,126,185,180,178,176,174,171,170,194,194,195,195,193,148,110,189,196,196,195,194,194,192,191,190,188,195,182,108,141,186,181,180,178,175,173,173,196,196,196,196,195,155,102,151,202,197,198,198,196,194,194,193,190,202,177,107,157,188,182,181,179,177,175,174,199,199,198,199,202,175,121,115,205,198,198,199,198,196,196,195,197,202,158,97,173,189,185,183,181,180,178,176,201,201,201,201,203,190,139,92,194,202,200,200,201,200,198,191,192,200,140,92,188,190,188,188,184,183,180,178,202,202,202,201,203,200,163,97,160,208,203,201,180,180,197,167,117,143,132,119,197,191,191,189,185,184,183,180,204,204,204,204,204,205,176,115,114,210,205,187,161,140,151,146,113,88,101,146,200,194,193,191,188,187,185,182,206,206,207,207,206,209,183,136,92,190,202,183,174,149,141,131,150,116,63,170,201,196,194,193,190,189,187,184,208,208,208,208,208,209,196,167,112,145,183,179,183,148,147,147,154,116,70,190,200,197,195,195,193,189,188,186,209,210,210,209,209,209,205,186,127,106,139,151,198,151,115,116,142,133,78,174,205,201,197,196,194,192,190,188,210,211,211,211,211,213,212,191,158,142,124,125,181,153,83,58,159,153,94,123,209,200,199,197,196,195,191,188,212,212,212,213,213,214,213,198,197,153,108,86,158,133,76,52,142,174,133,78,182,203,201,199,199,196,194,191,214,214,214,215,215,214,215,202,193,134,105,87,153,120,72,91,187,192,157,80,135,209,201,200,199,197,194,193,215,216,216,217,217,217,217,209,191,165,152,105,148,140,93,168,201,185,140,75,139,209,202,201,199,197,195,194,216,217,218,218,218,219,219,214,194,188,165,116,128,124,148,213,193,167,125,63,165,210,203,202,201,198,197,195,216,217,218,218,218,218,220,215,188,199,175,144,108,129,203,212,186,155,117,69,188,210,204,203,201,201,199,196,217,217,217,217,218,219,220,216,191,186,178,160,118,135,206,201,177,147,104,76,200,207,204,203,201,200,197,196,218,218,218,219,220,221,220,220,191,178,176,171,138,127,197,198,167,134,88,88,209,207,204,202,201,198,196,194,219,219,220,221,221,222,222,223,198,180,179,175,161,123,184,193,157,115,66,124,216,208,206,204,202,199,199,199,220,221,221,221,221,222,223,224,214,187,184,175,171,113,152,170,129,89,50,170,213,207,207,205,204,207,187,150,221,223,224,224,224,227,227,227,224,191,190,175,159,121,119,141,109,71,67,205,212,209,210,211,197,159,90,53,152,156,161,166,170,173,177,181,185,196,187,166,152,138,111,134,109,57,126,210,205,202,186,141,90,54,44,41,105,106,108,108,106,106,104,102,117,197,193,179,172,149,126,135,99,59,98,115,112,100,77,51,46,48,41,39
11,167,169,172,174,177,178,179,181,181,181,181,181,181,180,179,178,177,176,175,174,173,172,171,169,168,167,165,163,169,171,173,176,178,180,181,182,183,183,183,182,182,182,181,180,179,178,177,175,174,173,172,171,169,168,166,165,171,173,175,178,180,182,183,184,184,185,185,184,184,183,182,181,180,180,178,177,176,175,174,173,171,170,168,167,172,175,177,179,182,183,185,186,186,187,186,186,186,185,184,183,178,173,179,179,178,177,176,174,173,172,170,168,174,177,179,181,183,185,187,187,187,187,187,188,187,187,186,187,172,146,169,180,179,179,178,176,176,174,172,170,176,178,180,182,185,187,188,189,188,189,189,189,189,188,188,191,171,128,155,182,181,181,180,179,178,175,173,172,177,180,183,184,186,188,190,190,190,190,191,191,190,189,189,192,171,128,151,183,183,181,181,180,178,177,175,174,179,181,184,186,188,190,192,193,193,193,192,192,192,191,190,197,179,134,150,184,185,182,182,181,180,178,176,175,180,182,185,187,189,192,194,194,194,194,194,193,193,193,193,202,184,137,147,184,186,184,183,182,181,179,177,176,182,184,186,189,191,193,194,195,195,195,195,194,194,194,195,202,177,130,145,185,187,185,185,184,182,180,178,177,183,185,188,190,193,194,195,196,196,196,196,196,194,192,195,202,171,126,147,186,188,187,186,185,184,182,180,178,185,187,190,193,195,196,196,197,198,197,195,194,183,163,173,196,166,127,153,188,189,188,188,187,185,183,181,180,187,188,191,194,196,197,197,196,197,189,169,167,166,136,130,162,143,119,160,191,191,190,189,188,187,184,182,181,188,190,192,195,197,199,195,175,171,174,140,118,147,135,101,103,103,109,170,194,193,191,190,189,188,186,183,181,189,191,194,196,199,203,196,160,130,157,138,107,141,132,91,78,84,115,182,195,194,193,191,190,187,186,185,183,190,193,195,198,202,211,204,168,120,140,138,104,132,122,86,74,79,121,187,196,195,192,187,181,172,169,175,180,192,194,196,200,208,217,205,169,115,116,122,97,124,117,84,68,73,119,189,196,195,189,177,164,146,135,135,152,193,195,198,201,213,212,195,165,112,98,112,99,138,131,91,67,76,121,187,194,194,183,154,130,116,111,105,117,195,196,199,203,218,218,194,157,107,107,128,111,161,157,103,76,89,122,175,189,179,144,107,106,127,141,140,148,195,197,200,205,222,221,193,152,120,131,166,132,156,154,103,93,115,134,164,170,141,106,113,156,182,187,185,184,195,198,201,205,222,218,190,163,143,138,180,136,119,138,125,128,132,132,140,127,104,121,169,192,195,193,190,188,195,198,201,205,220,217,197,174,152,146,167,141,137,160,157,145,130,116,108,94,116,173,196,197,195,193,191,189,197,200,202,205,216,217,202,181,166,170,181,179,168,163,152,138,121,99,89,110,167,198,200,198,197,195,193,191,197,200,203,205,213,213,199,177,158,160,172,175,165,155,140,127,109,91,118,169,198,202,201,199,198,195,193,192,197,198,188,189,204,205,190,162,146,154,163,161,152,140,125,112,100,128,180,202,203,202,201,200,198,196,194,193,196,181,124,111,166,189,180,161,155,158,157,148,133,116,104,108,142,187,204,205,203,202,201,200,198,195,193,192,191,145,80,68,110,159,177,175,167,154,146,129,105,89,119,169,197,206,206,205,204,202,201,200,198,196,193,192,177,110,68,64,73,109,153,167,159,144,131,112,85,93,169,206,209,208,207,205,204,202,201,200,198,195,194,192
6,189,189,189,189,190,190,190,189,188,188,189,188,187,186,184,183,182,181,180,179,177,175,174,173,172,170,168,165,193,193,193,194,194,193,193,192,192,192,192,190,189,187,186,185,184,183,182,181,180,178,177,175,174,172,171,168,195,196,196,195,195,196,196,195,194,194,195,193,192,191,189,188,187,186,185,184,183,181,179,178,177,175,173,171,197,198,197,197,197,197,197,197,197,196,197,195,195,194,193,191,190,189,187,186,184,184,182,181,180,178,175,173,200,200,200,200,200,201,201,200,199,199,199,199,197,196,195,194,193,191,190,188,187,186,185,183,181,181,178,177,201,201,202,202,201,202,202,202,201,202,201,200,200,199,197,196,195,194,193,191,189,188,188,186,184,182,180,179,203,203,204,204,203,204,204,204,204,204,203,202,201,201,200,198,197,196,195,194,192,190,189,188,187,184,182,180,204,205,205,206,207,207,207,206,206,206,206,205,204,203,201,201,199,198,197,196,194,192,191,190,187,185,184,183,206,206,207,207,208,208,208,208,208,208,208,207,205,205,203,202,199,195,189,182,178,177,172,163,165,174,169,182,208,207,207,207,208,209,209,209,210,208,203,197,192,189,180,171,163,158,142,137,144,151,142,138,166,189,162,171,209,209,209,210,209,209,209,209,198,174,154,152,149,154,155,152,147,140,133,127,139,130,132,130,131,145,136,175,210,211,210,211,210,210,206,190,175,161,140,138,144,147,150,146,141,119,115,107,103,104,116,120,129,154,175,188,212,212,213,213,212,197,179,174,169,152,124,105,111,111,110,110,110,104,114,139,168,183,190,193,195,195,193,192,212,213,214,212,192,171,170,169,164,151,131,95,72,55,141,185,194,198,201,205,204,203,202,200,198,197,195,194,214,214,212,192,169,169,172,172,173,170,152,107,68,60,83,119,156,197,207,208,207,204,203,202,200,199,197,196,215,210,190,177,174,177,180,178,177,172,131,81,60,61,63,62,61,93,201,209,208,207,205,203,202,200,198,196,199,178,174,181,181,180,181,170,166,158,104,68,55,58,63,65,64,59,161,210,209,208,207,204,202,201,199,196,174,174,181,184,182,180,172,161,165,159,134,105,63,45,54,58,61,56,116,211,210,208,207,205,203,202,200,197,175,177,181,185,184,176,163,162,167,167,165,129,76,55,54,51,57,115,189,210,209,208,208,206,204,202,201,199,177,179,185,186,179,166,159,160,158,158,151,107,64,54,56,56,66,204,213,211,211,209,208,207,205,203,201,200,179,180,181,176,167,161,159,156,149,142,133,98,56,46,53,56,82,206,213,211,211,209,208,206,204,203,202,201,178,174,165,161,163,159,154,147,137,135,141,124,74,48,51,64,182,213,212,209,209,208,207,205,203,201,200,198,167,158,154,157,153,143,133,129,132,142,152,136,78,57,57,68,205,214,212,209,209,208,208,206,204,202,198,191,160,157,155,147,137,128,129,131,135,135,136,104,67,58,57,106,212,214,213,211,210,209,208,207,186,160,126,95,152,149,141,132,131,130,126,116,107,100,89,66,75,106,139,204,215,215,213,207,192,192,188,163,95,69,55,54,136,124,105,105,118,120,111,93,79,69,77,125,195,213,216,216,211,165,138,108,76,81,72,64,53,58,48,41,94,77,61,71,88,90,82,70,76,112,155,183,191,193,195,192,146,85,75,57,39,50,40,43,41,40,47,29,73,53,63,90,99,97,94,93,99,104,108,109,107,107,105,92,73,62,55,54,28,39,36,35,36,33,37,30
10,93,100,112,118,123,127,131,133,136,139,140,143,144,145,146,149,151,153,154,155,156,159,159,160,161,161,163,164,93,102,113,119,123,128,131,133,138,140,141,144,145,146,147,150,136,151,155,156,158,160,160,161,162,163,164,165,95,104,114,120,124,129,132,134,139,141,142,144,147,150,151,160,119,137,156,157,159,161,162,163,164,165,165,165,98,107,117,122,126,130,133,136,139,141,143,145,148,151,156,164,124,119,156,158,161,162,163,164,165,166,167,167,99,107,117,123,127,130,134,138,140,143,145,147,149,151,156,165,132,108,158,159,162,165,164,165,167,168,168,169,99,109,119,124,127,132,136,138,140,143,145,147,149,152,153,169,141,107,156,161,163,165,166,166,168,169,169,170,100,110,120,124,128,134,136,138,141,144,145,154,136,137,154,174,152,111,147,162,163,165,165,166,169,169,170,171,102,112,120,125,130,134,137,140,143,145,148,158,133,99,151,172,156,118,130,164,164,166,166,168,170,170,171,172,104,115,121,125,130,135,138,141,144,146,152,150,130,86,135,166,152,120,118,164,166,167,167,170,170,171,172,172,105,116,123,127,130,140,136,129,124,126,140,161,140,104,111,167,140,119,107,165,167,168,168,171,172,172,173,173,105,115,122,127,129,145,123,94,80,79,86,142,151,117,85,156,122,114,99,165,167,169,171,172,173,174,174,174,107,118,123,128,131,133,113,90,76,81,87,110,154,130,83,136,103,107,94,161,168,171,172,173,174,175,175,175,108,118,122,127,132,136,136,130,120,98,84,95,155,140,91,108,88,99,89,154,169,171,172,173,175,176,176,176,108,118,123,129,133,138,141,159,164,116,70,109,165,147,102,77,81,95,94,141,170,173,174,173,174,175,176,176,110,119,124,129,135,137,142,164,164,119,67,102,176,149,112,73,80,94,95,123,172,173,174,174,175,176,176,176,111,120,124,130,135,146,163,163,169,126,64,114,183,150,117,78,79,91,93,106,173,175,175,175,177,178,178,178,113,121,125,130,134,155,174,159,164,126,66,151,173,149,113,78,70,85,87,94,174,175,175,176,176,178,178,179,113,122,125,131,134,145,173,152,156,133,122,183,164,148,112,80,73,81,80,109,174,174,175,176,178,178,178,179,113,121,125,130,134,139,151,136,142,149,179,183,160,143,116,85,75,78,75,144,173,175,176,177,178,178,178,179,114,121,125,130,135,139,150,134,146,175,196,181,160,136,114,89,76,74,82,167,174,175,177,178,179,179,180,180,116,122,125,129,135,140,160,161,145,171,194,176,155,133,113,90,75,70,108,174,174,175,177,178,179,179,180,180,116,122,126,130,135,138,171,173,149,154,189,175,155,130,113,92,74,69,140,173,175,175,176,179,179,179,179,180,117,122,127,132,137,139,178,180,162,171,184,173,156,131,114,94,76,78,165,172,174,176,178,179,179,180,180,181,116,121,126,132,136,140,186,189,169,177,183,174,157,133,115,95,74,107,173,174,175,177,179,180,180,180,180,181,117,121,126,132,137,139,183,187,174,175,179,177,165,136,115,94,72,140,172,174,175,176,178,179,180,181,181,182,117,121,126,132,136,140,176,179,168,176,176,178,170,140,113,91,80,164,173,174,176,177,178,179,180,181,182,182,117,121,127,133,137,141,167,170,168,176,176,178,168,138,110,86,107,172,174,174,176,178,180,180,181,181,181,182,117,122,128,133,137,142,157,168,176,182,174,174,164,135,107,81,140,172,173,175,177,178,180,180,181,181,181,183
6,166,168,170,172,173,175,176,175,174,175,175,176,175,174,174,174,174,173,173,172,171,171,171,171,169,168,167,166,167,169,171,172,174,176,176,176,177,177,177,177,177,176,176,175,175,174,173,173,172,172,172,172,172,171,168,166,167,169,172,173,175,178,178,178,180,179,178,178,178,178,176,176,176,175,174,174,173,173,173,172,172,171,168,167,167,169,172,174,176,178,178,179,179,178,179,179,178,178,178,177,176,176,175,175,174,174,174,173,172,172,170,169,168,170,172,174,177,178,178,179,179,179,179,179,178,176,174,173,174,174,175,175,175,175,175,174,174,172,171,170,168,171,173,175,177,178,178,180,180,179,177,173,167,158,143,143,150,155,153,154,154,152,163,165,169,173,172,171,169,172,174,175,178,177,176,180,181,182,179,174,169,157,140,141,151,157,149,148,137,132,165,156,142,173,172,172,170,172,174,180,181,174,176,185,187,186,181,173,165,152,139,135,144,152,149,146,142,134,156,145,129,172,173,172,171,173,176,197,189,174,173,175,173,166,159,154,145,139,126,106,102,119,124,128,131,129,133,136,157,175,174,173,172,174,179,204,187,170,163,160,163,168,167,159,148,144,143,118,104,154,159,161,162,165,167,171,177,176,174,173,173,174,181,191,168,161,164,169,176,181,175,165,157,152,147,124,100,172,183,182,182,181,180,180,179,177,175,173,173,174,195,187,162,157,162,169,177,181,178,171,160,149,133,109,90,148,184,182,181,181,180,180,180,178,176,175,174,176,195,175,161,157,159,163,168,171,171,164,151,142,127,92,85,122,182,182,182,182,181,180,180,179,178,176,174,177,186,166,170,168,167,167,172,179,177,163,144,143,138,92,82,110,179,184,183,183,182,181,181,179,178,177,174,176,185,185,184,174,176,177,183,185,173,159,148,145,132,97,85,107,175,185,185,185,182,181,180,179,178,177,174,175,189,207,192,173,173,173,175,173,167,157,149,135,112,94,93,115,179,185,186,185,183,181,180,180,179,178,173,174,191,205,189,172,167,157,148,146,147,143,137,123,93,86,101,155,186,185,184,184,184,181,180,179,177,177,173,173,190,195,188,175,159,146,142,153,160,154,151,149,102,77,110,176,186,184,183,182,182,181,180,178,176,175,175,174,190,188,195,179,161,160,173,180,166,152,145,144,109,87,130,183,185,184,183,182,181,181,180,178,177,175,174,174,189,186,191,177,163,164,172,171,158,146,136,123,102,97,147,187,185,184,183,182,181,181,180,179,178,176,173,170,185,188,183,171,164,163,165,159,149,133,118,103,95,107,163,185,185,185,185,183,182,181,180,179,178,177,174,168,179,187,184,170,161,155,148,132,118,102,94,105,134,158,182,183,184,185,183,184,184,182,181,180,178,176,159,156,174,183,173,159,147,137,121,103,92,80,95,143,168,171,171,171,171,171,170,170,171,170,170,169,173,203,102,109,164,173,154,144,137,126,103,91,93,92,97,104,106,105,105,105,105,104,103,103,104,103,103,113,191,242,96,103,160,164,145,144,136,117,97,92,98,101,93,90,89,88,88,89,89,87,86,86,85,83,91,175,244,245,96,108,162,157,143,150,135,108,94,92,102,99,93,92,92,92,90,94,99,95,95,97,94,93,174,245,248,243,94,117,166,155,145,149,131,106,92,93,107,97,93,93,92,91,91,92,94,92,92,94,92,161,243,250,244,237,95,127,169,153,142,141,121,99,91,97,106,96,94,93,92,91,90,91,91,91,93,89,132,236,249,249,237,233
5,146,146,147,147,148,149,149,150,151,154,153,154,155,155,153,158,155,154,154,154,154,153,153,154,152,151,149,152,149,149,151,152,152,153,154,154,154,154,156,156,156,157,162,137,156,157,155,156,155,153,153,155,155,152,158,120,154,154,155,156,155,156,157,158,158,158,158,162,160,162,180,84,144,163,159,158,156,158,158,155,155,160,134,50,156,157,159,160,160,160,161,162,162,162,162,158,157,187,159,83,158,164,162,161,170,125,149,159,157,151,64,41,161,162,163,163,164,164,165,165,167,163,186,124,135,203,113,119,175,164,162,161,147,87,148,163,167,112,38,52,165,166,167,168,168,169,169,169,169,162,201,129,138,185,92,158,171,169,153,148,97,115,168,164,162,78,49,72,169,170,171,171,172,173,172,172,173,168,201,137,142,154,100,178,173,153,145,106,102,171,169,168,159,69,64,70,173,174,174,174,176,175,176,176,176,174,195,133,132,118,126,184,146,135,120,93,168,173,171,170,172,97,68,70,176,177,177,178,179,178,179,179,179,176,206,147,107,94,164,142,109,110,86,155,183,174,175,173,176,114,65,65,178,180,180,181,182,182,182,181,181,181,209,160,105,105,151,104,97,77,146,187,178,178,176,175,180,137,59,47,182,182,182,183,184,184,184,184,184,185,201,151,105,105,109,104,85,120,196,182,181,181,178,177,181,163,58,41,183,184,186,186,186,186,187,186,188,186,192,166,105,89,89,105,84,163,187,177,190,183,181,182,184,172,126,122,185,187,188,189,189,189,189,188,190,188,194,184,125,84,80,88,100,173,126,124,162,190,188,184,181,186,124,160,187,188,190,191,191,191,190,191,192,191,192,193,143,92,85,83,97,108,111,140,141,153,176,188,189,188,122,195,190,191,192,192,193,192,193,194,194,194,196,207,172,117,86,88,84,97,103,122,160,158,154,165,168,162,171,148,193,194,194,194,196,196,196,196,195,195,199,214,191,138,91,84,94,88,77,108,131,133,150,156,135,127,152,119,194,195,195,196,197,197,197,198,198,199,198,218,202,145,97,77,91,77,119,192,182,167,144,141,172,162,110,126,196,197,197,198,198,198,198,200,201,200,200,222,206,152,105,76,74,105,212,198,202,194,161,177,165,117,157,186,197,198,199,200,200,200,200,201,202,200,199,225,205,155,111,78,55,112,184,208,193,150,162,156,102,147,205,192,199,200,200,201,202,202,202,201,203,202,201,228,203,153,112,73,65,87,91,171,144,149,159,105,111,201,197,195,200,201,202,202,203,204,203,203,204,201,209,228,196,153,112,72,70,94,97,99,121,149,118,120,197,200,199,198,201,202,202,203,203,204,205,204,207,197,210,226,193,152,113,78,75,97,103,116,122,117,114,200,203,199,200,198,202,203,204,205,206,206,206,206,207,197,212,222,189,150,111,79,80,106,111,117,104,100,191,208,201,203,201,200,203,204,206,206,207,207,208,208,206,197,218,214,185,146,108,79,79,106,114,111,90,172,214,201,204,204,203,202,203,206,206,207,207,208,208,212,199,203,228,209,179,139,106,83,79,107,117,94,123,218,206,206,207,206,204,203,205,207,208,208,208,208,209,212,193,225,226,202,174,139,103,85,87,113,109,82,179,215,208,210,208,208,206,204,207,208,208,208,210,209,213,200,204,231,215,198,179,136,100,87,92,111,88,132,218,208,210,210,208,208,207,205,207,209,209,210,211,212,210,193,217,215,209,194,161,117,94,84,95,98,114,208,214,212,211,210,209,208,207,206
21,158,160,161,162,162,162,162,164,164,164,165,166,162,157,165,163,164,164,163,162,161,161,160,158,161,88,24,20,161,162,163,164,165,165,165,166,167,166,165,168,179,122,155,169,165,166,166,165,167,163,162,164,142,75,35,26,163,165,165,167,167,168,168,167,168,168,168,170,184,112,141,175,167,168,169,159,144,168,164,168,140,52,37,39,166,167,168,168,169,171,170,170,171,171,171,173,186,113,127,179,171,170,176,162,101,167,166,169,147,67,46,56,168,168,170,171,172,172,172,173,173,173,173,175,191,120,119,181,172,171,182,158,96,169,169,168,171,87,45,55,169,170,171,173,173,174,174,174,174,174,174,175,198,136,118,181,175,173,185,151,100,170,173,169,174,119,47,47,171,172,173,175,175,176,176,176,176,177,177,176,201,147,116,179,179,176,190,149,106,172,174,171,176,157,55,36,172,174,175,177,177,177,177,178,178,178,178,176,201,157,118,171,183,178,196,154,111,176,175,175,173,178,80,37,174,176,177,177,178,179,179,179,179,178,181,177,205,173,126,158,186,181,197,153,112,178,177,177,174,180,133,128,176,177,178,179,179,179,180,181,180,180,182,179,205,186,129,153,187,186,203,150,109,181,178,178,176,178,133,169,176,178,179,181,181,181,182,183,182,182,184,173,181,192,124,152,189,193,197,140,117,187,180,179,178,177,151,176,177,178,179,181,182,183,183,183,184,183,200,179,148,162,138,134,189,196,182,129,128,190,180,181,181,180,172,135,178,179,181,182,183,184,183,184,185,183,208,203,174,130,162,94,158,191,172,120,142,193,182,182,182,182,176,128,178,180,181,182,184,183,184,184,184,187,186,208,196,160,168,104,94,148,148,108,160,191,184,183,183,183,180,162,180,181,181,183,184,184,185,185,185,189,165,158,206,166,159,146,109,98,114,90,166,191,184,184,183,183,184,179,180,181,183,184,184,184,186,187,187,184,192,161,181,171,132,168,153,104,87,83,162,194,185,185,185,184,183,182,180,181,182,183,184,184,186,186,188,190,208,175,118,160,121,145,162,120,82,76,162,194,186,186,185,185,184,182,180,181,181,181,184,184,185,185,200,204,193,140,90,106,152,121,152,144,100,71,165,192,185,185,185,184,183,182,180,181,182,183,183,185,185,189,206,177,158,149,111,68,122,90,134,175,120,79,176,191,186,186,185,184,183,182,180,182,183,184,184,186,186,188,202,174,148,158,119,82,62,114,156,190,149,91,147,194,186,187,185,184,184,183,180,182,182,183,183,185,185,186,199,183,162,154,146,99,86,189,178,182,165,116,104,193,188,187,186,184,184,184,185,188,189,190,189,190,192,193,199,199,169,120,147,115,135,210,190,174,153,122,118,193,188,187,186,184,184,184,135,138,142,145,148,152,156,159,200,202,167,117,144,131,180,212,181,167,139,97,130,199,190,193,192,188,184,182,91,91,93,93,92,92,93,92,192,206,161,136,153,142,207,204,178,159,133,94,104,123,119,118,124,136,159,177,100,101,100,99,99,99,101,94,177,204,165,158,166,150,214,203,176,152,120,96,91,93,109,134,157,177,191,199,98,99,98,99,100,99,102,91,147,205,183,180,176,140,198,194,160,138,104,94,157,173,181,193,195,190,191,202,98,98,97,98,100,99,100,98,110,193,194,183,172,137,169,181,139,112,90,102,197,194,170,163,177,185,183,190,98,98,97,99,100,99,99,102,94,176,190,167,151,128,134,158,121,97,86,117,154,165,185,150,147,166,179,188
0,218,219,219,218,218,218,218,218,218,217,215,215,215,215,213,212,212,211,210,209,206,206,206,204,203,202,200,199,219,221,220,220,221,219,218,220,219,218,217,216,217,215,215,213,212,212,212,211,208,207,206,204,202,202,201,201,220,221,220,221,221,219,220,221,220,219,218,218,219,216,216,214,215,210,211,211,209,210,208,206,203,203,202,202,223,222,222,221,221,220,223,222,221,220,220,217,209,220,219,217,217,221,212,213,211,208,208,207,205,205,203,202,223,223,225,224,222,222,222,222,220,225,220,195,156,157,211,184,160,169,219,208,207,214,208,210,209,205,204,203,223,224,224,225,224,223,224,209,176,181,211,185,158,118,145,173,141,105,153,164,136,154,212,189,193,208,203,203,227,225,224,225,223,223,223,204,178,144,163,206,158,126,132,188,153,119,103,159,129,87,150,171,146,214,204,203,227,226,225,224,224,225,223,224,195,171,130,189,166,132,127,187,159,120,116,172,146,98,94,167,132,210,206,205,228,227,226,225,225,229,221,205,203,173,115,175,174,133,125,185,157,120,95,155,138,99,82,156,121,192,212,207,228,228,227,227,227,230,209,163,200,149,106,176,160,119,115,171,143,108,81,142,126,88,84,159,123,141,217,205,229,228,228,229,228,224,186,145,196,137,107,169,138,100,108,159,131,96,94,166,142,81,80,162,151,108,179,213,228,227,228,228,231,225,207,176,191,155,123,163,148,104,110,169,140,85,142,192,142,70,99,166,155,110,128,221,229,229,230,229,232,215,190,167,167,154,121,171,165,104,131,185,152,96,132,177,101,68,152,175,152,94,143,220,229,231,232,233,227,193,163,142,126,109,101,173,156,98,120,186,150,90,45,66,50,119,181,175,131,90,199,213,232,232,232,231,225,202,173,143,115,106,102,115,127,96,76,109,109,108,134,95,107,179,176,160,95,140,223,207,233,233,233,228,219,200,175,144,119,116,124,118,124,130,121,125,163,190,185,178,151,164,163,127,87,200,215,209,233,233,234,232,222,203,179,152,124,114,122,133,154,168,178,193,197,184,170,169,144,140,147,90,126,224,210,212,232,233,233,230,224,204,181,160,136,125,124,137,176,191,202,199,192,179,167,163,135,120,123,72,184,222,213,212,233,234,233,230,226,207,187,167,144,143,132,173,207,204,204,199,189,172,161,156,123,107,76,121,225,214,215,213,234,234,233,231,229,213,193,176,162,156,166,201,210,206,205,197,183,169,153,138,110,71,100,213,219,216,216,215,234,235,234,232,229,215,197,183,172,165,191,203,209,211,203,183,173,160,142,124,79,87,213,222,217,218,217,215,234,235,235,230,226,219,204,188,174,168,200,206,210,208,192,172,160,148,130,91,75,202,225,216,219,219,217,214,234,236,236,229,224,218,206,194,177,168,197,207,199,193,175,159,143,132,100,68,188,230,219,220,219,219,217,215,236,238,238,232,225,222,210,203,189,175,191,200,187,177,162,143,128,99,63,175,233,221,224,221,219,218,216,215,236,236,239,234,228,218,209,205,195,182,187,192,177,161,149,131,97,64,172,235,222,225,222,221,220,218,218,216,237,237,238,233,226,216,220,220,206,191,184,181,162,147,136,104,66,177,238,226,228,226,222,220,221,219,218,217,237,237,237,231,229,215,219,219,200,188,178,172,149,127,116,72,173,241,226,228,228,227,224,222,222,220,219,217,237,237,235,226,221,195,215,205,192,183,172,154,138,120,84,117,242,227,229,227,227,226,224,224,222,221,219,218
14,165,169,173,176,179,180,182,184,186,186,187,188,189,189,189,190,190,190,190,188,188,188,187,187,187,185,185,184,166,171,175,178,181,183,185,186,188,188,189,191,191,192,192,193,192,193,192,192,191,190,189,188,188,187,187,186,168,172,176,179,183,185,187,188,189,191,192,193,194,194,194,195,194,194,197,195,194,193,191,190,190,189,189,188,170,173,177,180,184,187,188,190,192,192,193,195,196,197,196,198,194,196,186,192,195,197,194,193,193,192,190,190,171,175,179,182,185,188,190,192,194,195,196,198,199,198,198,198,214,203,177,180,179,176,199,196,194,195,194,193,173,177,181,185,187,189,191,194,194,194,198,201,201,200,200,219,215,204,189,178,170,153,151,193,199,195,195,195,175,179,183,187,188,190,192,196,197,198,199,201,202,202,218,220,220,196,188,205,178,148,112,133,204,197,197,196,175,181,185,187,190,193,195,196,199,200,201,202,201,209,221,212,206,144,103,174,150,182,112,75,150,209,197,199,177,182,185,189,192,195,196,198,200,202,203,204,211,225,213,151,120,111,83,80,112,209,152,91,118,206,200,200,180,184,187,191,194,195,198,199,201,204,204,215,233,231,199,154,109,74,72,72,65,172,180,119,96,197,204,201,180,186,189,193,194,197,199,201,204,205,206,231,230,197,159,137,116,85,68,71,85,169,154,129,98,171,212,202,180,186,190,194,196,200,202,202,206,201,225,237,218,186,125,93,93,81,71,93,187,216,197,175,109,148,216,202,181,186,191,195,198,199,202,206,201,216,247,226,212,183,130,94,73,70,83,207,218,201,196,154,92,167,216,205,183,187,192,196,198,201,203,203,208,245,234,222,208,161,128,101,66,62,180,226,211,202,184,153,84,131,222,205,185,189,193,198,200,202,206,203,239,248,231,222,196,167,135,85,57,73,124,176,229,188,166,142,99,89,196,214,185,191,195,198,202,206,204,219,254,245,229,212,193,156,119,77,75,89,84,98,193,158,166,141,119,87,179,220,186,192,197,200,204,207,204,244,252,239,222,209,185,133,102,76,104,115,116,113,105,145,168,146,97,125,215,213,188,193,197,201,203,202,220,254,241,231,215,196,164,128,99,97,122,127,128,134,118,142,156,122,103,207,217,214,188,194,199,201,213,208,246,247,234,221,202,191,154,130,105,112,128,131,130,127,128,132,133,99,190,223,213,215,188,193,200,203,148,203,255,241,225,213,199,177,161,130,107,119,132,129,121,119,132,102,87,183,227,216,218,216,189,194,208,164,89,109,201,235,205,188,175,165,143,107,107,111,122,124,114,114,97,88,171,229,218,220,219,219,190,198,191,106,104,96,93,146,184,174,141,112,85,86,97,97,108,112,98,97,153,209,229,220,222,220,219,219,191,202,135,103,95,94,92,89,99,104,94,80,73,77,80,80,80,80,107,191,236,229,225,224,222,221,221,220,199,165,100,103,90,90,88,94,78,41,56,58,54,53,55,49,109,171,218,234,225,226,226,225,224,223,222,221,189,119,102,92,89,87,86,83,96,57,41,52,48,45,46,37,88,239,230,226,228,228,227,225,226,225,223,223,140,99,94,90,89,85,82,81,90,67,32,46,45,43,46,32,110,238,225,229,228,228,228,227,227,226,224,224,112,96,84,85,83,76,77,77,91,64,30,42,41,40,43,31,184,243,229,231,231,230,229,228,227,226,225,225,111,96,89,76,64,108,94,68,94,51,31,41,38,38,37,51,219,235,231,231,231,230,229,229,228,227,225,225
12,135,138,141,143,145,147,148,151,153,154,156,158,161,163,161,161,163,164,165,166,165,166,164,165,165,167,167,167,137,140,143,144,146,148,150,152,154,155,158,160,162,164,166,167,164,165,161,159,169,167,167,167,167,168,168,168,138,142,144,146,148,150,152,153,155,157,161,162,162,151,132,151,170,169,149,117,128,175,170,172,173,169,170,168,139,143,144,147,149,151,153,154,157,159,159,165,179,154,133,111,173,178,154,131,88,163,152,146,156,174,170,171,140,143,146,148,149,152,153,156,158,160,159,174,193,170,156,108,147,186,148,141,104,99,133,129,102,150,177,170,142,144,147,149,151,153,155,158,159,161,160,178,195,179,155,114,144,191,150,142,100,80,146,131,101,89,178,171,143,145,148,150,152,154,157,159,160,162,163,178,195,191,162,129,142,196,157,139,86,94,158,127,92,69,162,177,144,147,149,151,153,156,158,160,163,163,164,167,159,186,172,136,131,188,150,123,72,105,160,124,89,67,152,182,145,148,150,152,154,156,159,160,163,163,175,150,107,132,169,120,117,168,130,114,76,97,149,122,92,65,149,184,145,148,151,153,155,157,160,162,161,180,179,133,112,91,140,110,103,154,125,116,79,94,141,121,95,63,149,186,147,149,151,154,155,158,161,159,176,179,167,143,126,90,106,111,86,145,124,101,76,94,144,125,96,64,162,181,147,150,152,154,156,159,161,163,177,148,164,157,127,98,75,107,99,129,144,112,83,116,178,145,101,74,180,177,147,151,154,155,157,160,161,169,179,144,149,151,122,103,65,106,115,125,163,126,86,131,183,152,85,67,174,181,148,152,154,155,159,161,161,171,174,152,128,142,127,102,61,76,104,80,124,121,66,110,142,95,81,79,108,186,150,153,154,156,159,162,161,175,174,152,122,145,123,91,73,43,52,34,102,148,135,152,141,116,105,94,84,174,150,153,154,157,160,162,161,177,177,152,127,133,118,87,79,48,53,83,161,175,171,160,147,123,103,88,92,178,151,154,156,159,161,162,163,178,176,151,125,115,118,95,89,55,72,137,175,173,169,152,138,115,98,80,104,188,152,154,157,159,161,164,165,179,176,158,141,116,103,109,90,72,115,173,176,183,166,145,130,112,94,76,116,192,152,154,156,159,162,164,164,179,175,163,150,139,117,104,106,123,151,185,182,187,158,137,123,104,90,78,153,189,152,155,157,161,163,164,164,177,179,168,154,147,142,125,128,141,151,185,184,178,147,127,117,101,82,101,186,183,152,155,157,160,162,165,166,173,177,171,159,152,151,139,127,134,148,189,182,163,141,121,109,96,75,131,191,181,152,154,157,158,161,165,167,170,171,170,163,156,152,143,130,125,154,188,175,151,135,116,100,92,75,158,189,182,152,154,156,159,162,166,167,168,165,167,164,158,154,143,129,120,152,175,165,137,123,107,94,84,88,181,185,183,152,154,157,160,163,165,167,168,169,169,167,159,153,143,131,115,147,162,148,125,112,97,91,75,127,190,182,184,153,155,157,161,163,165,167,169,170,172,164,154,149,136,123,111,142,146,126,116,101,89,85,85,173,186,183,184,152,155,157,159,163,166,167,169,167,171,155,141,136,122,106,112,135,134,116,109,95,90,79,135,189,183,183,184,152,155,158,160,163,166,167,167,166,174,150,136,129,109,107,113,132,130,115,105,94,84,93,179,184,183,184,184,153,155,158,162,164,165,169,163,171,177,151,144,130,115,118,121,136,126,114,96,88,76,136,187,183,185,185,185
4,89,103,117,123,129,133,137,140,142,145,148,151,152,155,158,159,162,161,163,165,165,166,168,166,167,168,168,168,89,106,119,125,130,134,138,141,144,147,151,151,155,158,157,161,159,164,166,167,170,169,168,169,171,170,170,170,92,108,119,125,131,135,140,143,146,147,149,152,146,151,165,168,140,129,163,157,154,172,170,171,172,172,172,171,94,110,121,127,133,136,141,146,146,143,159,188,153,132,165,184,136,85,125,149,93,119,176,172,173,173,174,174,95,112,122,128,133,137,142,146,153,160,137,158,187,134,120,172,123,80,83,128,99,71,162,178,174,175,176,176,96,115,124,130,134,138,144,142,180,176,147,118,135,125,92,134,110,72,84,130,98,61,156,181,175,177,177,177,99,115,124,130,135,139,140,158,192,184,163,136,85,89,85,153,125,58,128,135,81,62,173,178,176,178,179,178,101,117,125,131,136,141,139,176,161,152,157,112,78,68,83,162,123,108,155,112,55,82,184,179,178,180,181,180,103,118,127,132,137,142,141,188,144,138,145,82,66,75,57,103,133,169,149,128,82,104,192,178,180,180,181,181,108,119,126,133,137,141,150,195,157,157,133,88,52,103,118,134,151,150,130,139,117,107,182,181,181,182,182,182,109,120,125,133,141,140,163,187,141,126,120,93,39,132,152,136,136,114,131,156,137,110,124,188,180,186,185,184,111,121,126,136,140,137,174,177,134,109,95,64,40,60,102,103,97,65,129,163,156,140,94,143,192,183,187,187,111,122,128,136,141,141,197,181,144,122,102,79,57,49,56,62,88,131,134,155,166,145,115,86,173,189,187,187,114,123,128,136,140,149,208,174,148,134,101,80,68,80,110,137,172,184,168,158,145,137,126,87,132,197,186,188,117,123,128,138,138,160,215,180,165,137,100,94,80,116,164,182,189,183,163,149,125,113,117,85,140,196,187,189,118,123,129,139,135,173,215,184,162,125,106,103,95,155,183,190,192,188,160,136,113,95,92,96,181,189,190,190,118,123,130,140,136,178,213,180,150,124,121,108,122,175,181,188,191,176,147,125,105,90,78,151,196,189,191,190,119,123,130,140,136,179,210,174,153,143,138,123,148,175,179,184,179,156,135,113,99,77,108,195,190,191,193,193,120,124,131,139,138,177,203,178,172,163,146,140,166,173,179,172,158,144,120,105,90,79,175,196,191,193,194,195,120,124,132,140,139,166,202,188,181,162,143,138,160,167,165,152,138,128,108,97,76,135,201,191,191,194,195,195,121,125,133,141,142,156,199,182,174,159,138,123,140,150,150,140,125,113,101,81,100,192,192,193,193,195,195,195,121,127,135,141,145,152,195,174,160,149,130,123,134,145,143,127,110,102,89,79,170,196,192,195,196,196,196,197,120,127,135,140,146,149,187,162,148,139,125,133,129,138,140,122,106,96,69,141,199,191,194,194,196,196,197,197,121,127,136,141,145,159,188,163,151,145,147,151,128,121,128,110,98,78,102,194,192,194,196,196,197,197,197,197,122,128,137,141,149,198,169,158,161,151,149,140,122,112,117,102,91,72,161,197,192,195,196,196,197,197,197,198,122,129,137,137,186,196,192,119,133,160,141,128,117,104,104,97,86,70,179,194,193,195,195,196,197,198,198,200,122,131,133,157,204,187,195,179,82,122,130,118,110,91,96,90,79,72,184,193,193,195,197,197,197,199,200,200,123,130,135,195,191,189,188,199,154,66,100,112,99,78,89,85,77,71,182,196,194,195,197,199,199,200,200,201
18,153,156,159,161,164,166,169,172,174,176,178,180,181,183,184,184,184,184,186,185,184,185,186,186,186,187,187,187,155,158,160,162,165,168,171,174,177,178,180,181,183,184,184,185,186,186,185,188,187,188,188,188,189,189,189,189,156,158,161,164,167,170,172,175,179,180,182,183,185,186,188,188,188,177,158,167,189,187,185,190,191,190,192,191,158,160,163,165,169,172,174,177,180,181,184,186,187,187,183,182,200,173,136,114,151,158,146,163,192,193,193,193,158,161,165,168,171,173,175,179,181,183,186,188,190,188,158,141,174,154,111,102,92,137,137,113,165,196,195,195,161,163,165,169,173,175,179,181,184,185,186,182,191,198,154,133,159,139,102,95,85,131,147,112,118,195,196,196,163,165,168,171,175,178,181,183,186,187,190,160,147,176,169,152,163,147,129,120,107,113,129,110,103,193,198,197,164,167,170,173,177,180,182,185,187,193,201,172,146,133,169,160,149,164,162,159,149,122,98,91,104,194,200,199,165,168,171,174,177,180,184,186,188,197,197,195,170,131,131,155,133,147,173,173,169,137,91,71,103,197,201,200,167,170,172,176,179,181,185,187,190,196,171,187,171,142,101,124,131,110,147,168,166,136,98,71,105,200,201,202,168,171,174,177,181,185,187,188,191,194,145,140,155,127,83,91,118,91,96,134,157,147,114,78,116,204,202,203,169,172,175,179,182,186,188,190,192,198,159,131,142,103,72,74,98,80,68,95,161,165,131,88,110,203,203,205,170,173,176,180,182,186,188,190,193,203,181,146,134,99,73,66,90,75,55,80,160,181,147,106,89,180,206,205,171,174,178,180,183,186,189,192,194,203,178,142,123,100,77,63,92,78,56,135,187,195,165,119,84,122,206,207,172,175,179,182,185,188,191,194,194,202,194,169,136,106,83,74,81,73,124,196,205,192,162,120,94,107,204,208,174,176,179,182,185,189,192,195,195,204,200,175,140,111,94,87,85,119,190,216,211,190,152,112,93,119,207,208,174,176,181,183,186,189,192,196,196,205,203,182,149,123,111,111,116,170,211,219,199,177,142,102,86,137,210,208,175,178,181,183,187,190,193,196,198,203,204,188,162,143,131,116,128,182,212,212,184,155,126,96,83,158,213,210,174,178,181,184,187,191,194,196,197,201,201,190,170,149,137,124,128,172,211,206,173,144,114,92,86,174,214,212,174,177,182,185,188,191,194,198,199,199,200,192,173,151,144,142,127,161,209,197,160,131,105,88,94,191,214,213,173,177,182,185,187,190,194,195,199,199,197,190,177,160,160,152,128,146,205,181,148,117,97,85,108,204,214,214,174,177,180,183,187,190,194,194,198,200,195,187,180,167,160,157,132,135,192,166,133,106,91,83,125,212,213,214,174,178,181,184,187,190,195,195,197,199,196,189,183,169,158,154,134,122,175,153,116,97,89,83,145,212,212,213,176,179,183,185,187,191,195,196,198,201,199,196,188,171,154,143,123,108,156,133,102,91,88,93,179,213,213,214,176,179,183,186,188,192,194,197,199,200,196,204,188,162,142,124,101,103,135,114,99,91,86,131,209,214,214,214,176,179,182,186,189,192,194,196,199,198,195,208,185,158,137,112,101,106,127,108,99,91,96,179,213,213,214,214,176,180,182,186,190,193,194,197,199,196,200,209,189,166,147,123,111,114,126,103,98,82,131,209,214,213,214,215,176,180,182,185,189,192,194,196,198,193,201,205,193,173,157,127,108,125,120,103,91,81,166,212,212,214,214,214
16,150,150,150,150,151,151,152,152,152,152,152,151,152,153,152,153,153,153,152,153,153,152,152,153,153,152,153,152,150,151,151,152,152,152,152,152,153,153,152,152,153,153,153,154,153,153,154,155,155,154,154,155,154,154,154,153,151,151,152,153,153,153,152,153,154,155,154,154,154,154,154,153,154,155,155,156,156,155,155,155,155,156,156,154,151,152,153,153,153,154,154,155,155,154,155,155,156,155,155,157,159,159,157,155,155,155,156,156,156,156,156,155,152,152,153,154,155,154,154,155,155,155,157,157,157,156,154,141,141,140,154,162,156,156,156,156,156,156,156,155,152,152,153,154,155,155,155,155,156,155,154,148,145,158,167,129,112,104,94,130,163,161,155,157,156,157,157,156,152,153,153,154,155,157,157,156,156,157,151,131,140,171,167,144,128,116,88,61,92,145,164,156,157,158,157,157,152,153,154,155,156,157,155,149,143,174,163,139,155,172,159,149,139,117,82,77,57,66,120,164,156,157,158,157,153,154,154,155,157,154,164,147,147,167,160,146,158,172,146,140,132,111,70,81,68,63,55,111,165,157,158,158,154,154,155,156,157,155,177,157,151,160,159,156,151,162,135,135,123,100,67,72,64,67,66,51,112,168,157,160,156,155,156,157,156,156,163,157,146,160,165,160,154,158,138,132,115,86,65,62,59,65,66,63,48,136,166,159,154,155,155,156,158,161,155,162,156,152,167,161,157,168,150,134,109,78,61,54,55,64,63,63,52,85,168,159,154,153,155,153,165,159,154,163,168,154,161,160,158,166,154,130,98,72,52,42,58,67,66,62,56,65,159,160,153,154,155,154,160,161,158,157,166,155,162,166,164,163,153,121,85,65,35,40,58,69,71,73,55,75,164,158,155,155,156,156,156,162,166,160,168,163,136,173,170,161,154,115,76,43,14,41,54,63,77,73,58,84,168,158,155,155,156,156,156,163,168,170,146,157,140,163,169,163,155,108,65,17,10,33,46,61,83,67,57,90,166,158,155,155,156,157,158,156,158,177,121,129,159,155,165,168,151,102,59,17,7,20,38,69,89,64,53,114,168,159,155,156,156,157,157,156,147,157,174,151,145,155,168,171,145,99,54,32,20,12,44,88,89,64,54,130,168,161,156,156,157,158,157,158,150,137,160,157,149,154,170,171,140,94,52,46,48,31,64,110,100,69,51,129,168,161,148,150,151,153,155,157,160,149,149,151,142,134,163,169,137,85,54,55,55,41,83,130,125,86,49,137,168,159,85,88,91,92,96,100,102,104,106,106,84,87,154,170,136,77,58,61,61,53,93,132,137,111,58,124,165,172,73,73,73,72,71,72,71,70,70,71,73,66,151,175,137,75,77,69,65,64,99,130,142,136,81,117,178,191,78,79,79,78,76,78,78,78,78,78,83,67,140,179,132,80,119,85,76,64,87,122,137,146,104,127,180,187,76,76,77,77,77,77,78,78,78,78,81,69,119,177,128,89,146,100,88,78,64,102,132,128,98,85,180,173,76,76,76,78,78,78,78,78,79,80,83,70,110,189,119,104,164,120,103,93,74,64,102,109,79,106,154,157,76,76,75,76,77,78,78,77,79,80,82,70,107,184,89,140,170,135,116,106,86,63,62,71,72,162,120,136,75,76,75,76,77,77,77,77,79,79,79,76,87,107,127,174,166,145,127,115,93,69,61,56,67,179,152,120,75,76,75,77,77,76,76,79,79,78,78,80,75,79,167,175,170,150,132,121,102,73,62,58,69,183,177,154
7,174,179,185,189,191,193,195,194,194,196,197,198,198,197,197,197,196,196,196,195,194,192,197,174,199,214,208,215,181,186,190,193,196,198,199,200,200,201,202,202,201,201,199,198,197,197,197,196,194,193,192,192,207,151,219,214,189,193,196,200,202,203,205,206,206,207,207,206,204,205,203,204,203,201,200,199,197,197,194,198,187,161,224,214,195,199,203,207,209,209,212,212,212,212,212,212,211,210,209,208,206,206,204,203,202,200,199,195,204,224,207,214,200,205,210,213,215,217,218,217,219,217,217,217,216,215,215,213,212,211,210,208,207,204,201,200,201,184,158,216,205,211,216,219,220,223,223,223,223,222,223,224,222,222,221,220,220,218,216,214,212,210,207,204,204,192,185,218,211,216,221,224,226,228,228,228,229,228,229,229,228,227,226,224,225,223,222,220,218,215,212,209,208,204,204,220,216,221,226,229,231,232,233,233,233,232,232,233,232,231,230,228,228,229,226,224,222,220,218,215,213,210,213,230,222,226,230,233,236,237,240,243,246,242,242,241,240,240,240,239,238,234,231,228,226,224,222,220,217,213,214,234,227,232,235,240,243,241,233,210,191,207,215,220,219,216,212,209,220,228,235,237,236,233,227,223,222,215,217,236,231,236,242,242,239,236,225,181,120,142,176,194,185,185,183,173,162,171,180,179,199,210,225,231,224,229,227,236,236,241,238,235,234,228,219,181,146,147,154,169,167,172,175,165,140,155,161,154,166,169,203,200,236,187,190,242,234,233,233,240,238,233,221,177,135,149,154,163,157,160,170,160,141,135,141,152,159,166,195,173,213,72,142,255,239,240,240,246,243,235,213,173,114,125,146,167,178,169,174,157,156,147,157,170,149,152,153,171,180,95,89,181,246,241,241,247,239,230,212,155,118,136,142,154,152,153,155,155,148,138,152,168,156,157,156,179,198,165,87,70,244,245,242,243,245,235,233,182,109,107,103,90,131,153,139,135,135,142,150,157,148,144,141,141,162,133,88,76,249,243,239,246,236,226,243,195,106,96,103,88,123,197,255,252,255,255,228,159,88,91,90,86,87,80,78,79,240,232,230,233,216,219,219,170,116,106,110,111,97,79,221,241,167,133,89,64,63,56,55,73,70,72,77,76,233,232,224,218,211,209,208,168,110,95,111,124,119,101,89,70,52,59,76,74,63,66,61,61,65,62,74,77,226,221,214,210,209,210,223,183,105,73,57,99,110,95,93,74,66,53,69,82,64,52,64,62,60,69,63,37,211,205,212,211,210,208,206,176,106,80,69,76,103,115,119,76,64,64,48,71,77,56,45,57,61,76,34,6,200,192,192,187,183,180,163,133,108,95,87,72,46,71,80,45,47,75,54,49,69,75,53,42,50,49,44,35,189,172,154,146,142,139,136,113,102,85,54,82,39,30,60,63,37,62,69,50,54,67,69,45,45,42,45,42,171,164,139,133,122,145,152,84,54,69,27,69,65,23,47,70,51,41,68,64,50,52,66,59,38,43,42,42,136,140,146,158,203,234,101,79,53,61,38,43,75,32,28,62,67,39,54,67,55,49,48,61,42,37,43,41,128,250,255,255,255,136,64,86,67,40,49,29,63,55,16,49,70,50,46,57,60,49,41,49,53,30,38,42,71,200,187,201,151,66,78,62,51,55,40,26,40,68,19,30,64,59,50,51,53,49,40,39,51,37,28,37,49,144,141,123,90,71,65,63,33,56,46,17,25,68,36,15,52,65,51,51,48,47,39,37,41,46,27,29
3,79,90,97,99,104,110,113,116,120,123,125,127,129,130,131,131,134,125,133,133,133,134,134,133,133,133,134,134,80,91,98,99,106,113,115,118,121,124,128,130,131,132,133,132,159,100,111,139,133,134,134,133,133,132,134,134,82,93,99,100,108,115,118,121,124,126,130,133,135,135,137,135,171,107,78,143,138,137,137,134,135,134,134,133,85,94,99,103,110,117,121,125,127,130,133,137,140,140,141,136,177,119,63,148,132,138,139,138,138,137,136,135,87,97,101,106,113,120,124,127,131,135,140,139,141,146,146,151,155,103,60,169,109,115,148,141,141,140,140,139,91,101,105,108,116,123,126,130,134,141,138,144,152,130,161,194,158,147,104,153,129,77,155,144,145,143,144,143,94,103,107,113,121,126,130,133,133,131,160,189,184,131,87,115,161,175,139,85,131,73,111,159,148,147,148,146,97,106,111,117,124,129,131,162,159,131,164,142,157,167,138,35,76,123,71,55,107,107,71,123,158,151,152,151,101,110,113,120,129,129,158,163,139,145,117,68,62,149,161,70,77,82,52,113,119,118,82,85,165,155,156,154,104,113,116,123,131,138,173,112,59,113,60,53,28,45,81,49,61,42,35,142,153,152,95,87,167,158,160,159,106,114,119,125,134,143,177,128,69,122,96,88,58,69,55,35,41,44,41,145,181,168,103,90,171,161,162,162,109,116,120,129,139,142,182,145,98,133,151,129,101,87,74,69,60,55,44,127,183,168,103,95,174,163,165,165,113,119,123,132,143,144,179,167,140,123,122,90,92,100,99,107,81,94,85,120,181,161,92,93,177,166,169,168,115,122,125,134,145,148,185,169,127,108,104,91,98,107,124,119,131,150,172,170,156,133,82,90,180,170,172,171,118,125,128,138,147,150,188,169,122,98,94,101,106,121,138,147,171,176,183,171,131,94,79,86,181,173,174,174,120,127,131,140,150,152,186,181,142,108,94,112,113,128,160,166,176,183,181,154,111,81,64,101,187,176,178,178,123,129,134,143,152,154,182,196,159,128,100,98,113,143,169,173,185,191,177,141,99,73,51,159,186,180,180,179,125,130,135,145,155,156,176,201,174,149,119,98,113,139,167,181,195,190,163,124,95,51,97,194,181,183,182,181,127,132,138,148,156,160,171,202,188,161,135,116,116,129,161,187,194,182,149,108,80,48,158,190,182,185,184,182,130,133,141,150,158,165,169,198,196,176,146,136,131,127,156,185,185,168,132,96,60,74,193,185,184,184,188,192,132,136,143,152,161,167,168,184,193,189,164,149,140,125,165,172,177,147,110,83,43,131,197,185,194,199,182,147,134,139,146,154,163,169,172,171,187,191,175,159,146,123,156,165,154,124,90,60,58,190,200,191,162,108,53,23,136,140,148,157,165,171,175,169,176,184,176,165,147,123,122,153,132,103,79,41,134,198,127,71,32,16,16,14,139,142,151,159,167,172,176,176,170,184,177,165,148,125,108,132,127,94,64,73,161,69,20,13,17,13,15,8,142,144,153,161,168,174,176,180,169,187,174,157,143,117,105,116,112,87,57,74,59,22,31,7,5,22,9,2,143,146,154,162,169,175,177,180,175,185,156,138,136,116,109,105,97,86,59,23,9,21,39,9,0,14,20,0,140,145,153,163,170,173,177,181,169,187,170,150,152,134,114,105,90,86,49,25,11,0,31,23,0,0,24,12,142,146,155,164,171,175,178,186,162,184,187,168,171,139,118,105,86,84,42,20,22,0,6,31,0,0,9,21
15,82,82,83,85,85,86,89,99,109,117,125,133,139,142,143,146,150,154,158,162,165,168,169,171,173,175,176,179,82,82,83,84,84,86,90,99,108,118,126,133,139,143,144,147,150,155,159,163,166,169,170,173,175,176,178,180,82,82,82,84,85,86,90,100,110,119,126,135,141,143,143,146,151,155,160,163,167,169,171,174,176,178,180,182,82,82,82,84,87,86,90,100,111,120,128,135,141,145,144,146,152,158,161,164,168,170,172,175,177,179,180,182,82,82,85,82,83,85,90,102,113,120,129,136,140,144,145,147,152,157,161,165,168,170,173,175,177,180,181,182,83,84,79,94,109,93,93,102,113,122,129,137,143,145,146,149,153,158,162,165,169,171,174,176,178,180,181,183,83,82,81,169,145,123,121,115,111,115,128,134,133,134,140,150,157,161,164,167,168,172,174,177,180,181,182,184,82,81,88,159,128,115,115,112,102,117,117,119,112,114,115,121,132,147,160,169,174,175,175,176,179,181,182,185,82,84,80,103,103,88,94,84,88,110,101,104,99,118,120,115,115,118,125,132,139,160,181,178,179,181,184,186,83,82,83,82,83,83,86,81,85,90,86,83,89,118,115,113,116,119,127,115,101,96,134,188,178,182,185,187,82,82,82,85,85,86,92,104,112,112,115,112,103,105,101,98,94,122,135,125,112,109,80,139,191,180,186,187,82,82,83,83,85,85,92,104,114,126,133,141,145,128,97,92,124,139,138,131,108,124,105,74,158,191,184,188,82,83,83,84,85,85,93,105,115,121,135,152,142,126,107,134,170,126,140,114,140,131,118,97,81,178,190,187,82,81,82,83,85,84,93,106,110,140,175,146,114,108,96,105,155,106,101,147,153,124,148,122,77,101,197,188,81,80,81,81,83,82,92,106,104,172,175,111,101,110,108,88,107,73,101,185,116,124,154,133,101,62,143,201,81,80,80,81,82,82,92,106,105,159,148,99,109,124,129,122,101,76,114,144,86,120,154,140,109,77,75,158,80,79,79,80,81,82,93,106,105,154,138,82,118,130,140,128,97,93,100,102,109,126,132,124,103,79,71,78,79,78,79,81,81,82,92,106,105,156,183,112,109,132,138,120,88,89,99,103,114,119,107,87,84,76,73,75,78,78,78,80,80,81,91,105,107,156,155,177,138,103,94,88,84,96,97,101,107,120,106,76,75,75,75,79,77,78,77,79,79,80,89,104,107,190,156,160,163,124,89,50,57,84,101,105,115,124,101,77,75,76,78,79,74,76,76,77,77,79,90,102,110,140,153,166,154,146,119,71,32,40,66,114,111,107,87,77,79,81,79,78,77,76,74,75,74,77,88,100,111,117,128,140,132,135,119,110,57,47,63,111,124,105,90,89,91,89,83,79,125,121,118,114,116,117,118,120,122,125,129,131,115,110,134,159,91,49,76,77,119,129,117,105,96,89,82,79,107,106,105,108,110,108,107,106,100,99,101,106,109,105,113,172,95,85,90,76,88,99,100,94,86,81,78,76,110,109,109,110,109,109,110,112,107,106,110,110,111,112,106,119,101,114,114,109,108,95,82,80,78,74,72,72,114,112,111,112,112,112,111,113,114,113,115,113,113,115,116,111,115,113,115,116,130,124,103,87,81,75,71,72,116,115,113,113,114,113,114,114,114,115,114,115,114,114,114,115,115,115,113,112,125,132,122,96,91,101,91,76,115,114,113,112,114,116,115,116,115,116,116,115,114,115,114,114,115,115,114,116,105,132,163,116,123,129,113,97
19,148,152,155,158,161,163,165,167,167,168,169,168,169,168,169,169,169,168,168,167,167,166,165,163,170,174,147,190,151,155,159,162,164,166,169,170,172,171,172,172,172,174,172,172,172,171,170,171,170,170,169,165,179,141,139,194,155,158,162,165,167,170,172,174,175,176,177,176,177,172,178,176,175,175,174,174,174,173,172,170,171,175,187,191,158,162,165,168,171,174,176,177,178,179,178,189,186,136,137,183,178,178,177,177,176,175,175,174,171,179,173,150,161,165,168,172,175,177,180,181,182,183,180,202,184,131,99,171,185,180,180,180,180,179,178,176,175,175,162,153,166,170,173,176,179,182,183,184,185,188,184,204,184,142,95,147,193,183,183,182,182,182,180,179,178,177,174,176,168,172,176,179,182,185,186,187,188,190,187,206,190,152,98,125,197,185,186,185,185,185,183,182,181,180,176,179,171,174,178,182,185,187,189,191,192,194,191,207,187,144,90,102,201,193,192,190,189,189,186,184,183,182,180,183,174,177,182,185,187,190,192,194,195,198,196,208,183,144,119,137,172,168,178,181,183,183,188,192,191,188,184,185,175,180,184,187,189,193,196,199,198,196,192,198,189,183,187,188,160,134,153,166,153,144,150,151,168,178,185,189,178,182,186,188,193,195,190,173,176,189,191,198,194,197,193,177,162,146,157,173,160,156,154,139,166,166,152,188,180,183,188,191,192,208,191,170,178,182,181,182,180,175,170,159,146,120,120,138,146,149,150,138,146,155,129,174,181,184,189,194,196,215,192,180,175,163,165,170,168,164,165,162,153,107,141,154,153,147,140,137,140,159,79,156,183,187,191,193,201,194,151,142,152,161,176,178,170,169,167,166,161,124,177,219,208,205,202,198,207,173,64,110,184,188,193,194,211,178,152,148,150,159,164,161,165,167,165,164,148,106,167,213,203,204,202,202,212,111,73,72,185,188,193,197,204,164,163,165,161,151,126,134,151,141,129,135,120,98,198,207,209,214,213,207,169,82,77,77,187,190,195,198,205,195,178,156,148,154,158,155,152,146,140,135,124,114,214,219,202,171,132,93,74,75,77,78,187,191,196,198,209,219,194,155,132,150,158,157,156,154,147,139,136,113,162,141,75,62,69,63,64,72,72,75,187,192,195,200,210,219,195,157,144,138,129,132,138,137,129,123,118,105,64,49,60,54,59,57,71,69,67,72,189,194,196,202,209,208,204,165,149,131,114,117,131,131,123,117,105,85,65,63,66,60,54,51,62,64,61,68,189,195,196,206,213,215,214,178,145,123,138,147,144,139,129,123,104,57,55,69,59,57,58,57,51,55,57,62,189,194,195,205,215,215,218,187,143,120,132,138,134,126,114,108,101,56,45,60,62,59,50,51,58,57,56,57,189,194,194,200,215,211,200,165,140,132,131,138,137,121,109,114,94,58,50,50,59,61,53,41,50,53,62,62,189,194,195,200,213,205,191,161,142,139,131,133,119,102,111,114,55,52,56,48,49,61,60,45,43,46,57,59,188,194,194,200,208,203,183,158,138,140,135,118,91,83,93,81,37,41,51,48,48,51,62,53,40,45,43,41,191,196,194,199,202,196,164,139,143,166,136,90,82,56,23,49,56,38,43,49,48,49,52,60,44,41,44,40,181,185,186,202,198,186,162,144,158,160,125,87,81,48,17,33,56,51,41,49,44,45,47,52,53,36,41,39,120,116,170,207,195,185,167,163,168,151,119,94,68,60,23,22,44,56,48,45,43,38,44,44,51,42,35,40
1,125,104,90,83,86,78,30,83,107,122,135,142,152,158,160,163,168,172,174,176,180,182,184,186,188,189,189,190,127,101,94,82,93,70,36,90,111,121,151,158,120,155,164,168,170,174,176,179,181,184,186,188,191,192,191,192,128,100,101,82,101,61,42,94,112,127,160,179,101,130,156,145,175,176,179,182,184,186,189,192,193,194,195,194,128,100,104,81,107,52,52,93,137,168,122,180,122,124,165,101,159,181,181,183,185,189,192,194,195,195,196,196,128,102,107,83,111,44,60,94,148,178,113,176,139,125,181,107,126,187,182,186,189,193,194,195,196,197,198,198,124,103,107,85,113,36,67,98,144,187,121,166,159,122,183,135,107,184,184,188,192,194,196,197,199,199,199,200,122,108,106,90,112,33,75,98,142,192,119,169,189,133,164,155,101,170,189,191,193,195,198,199,201,200,201,201,119,112,105,96,104,30,83,125,134,199,138,164,196,135,164,184,111,146,196,190,194,197,200,200,201,202,203,203,117,116,101,102,98,24,118,175,122,203,156,147,188,138,161,194,128,123,196,191,195,198,201,202,204,204,203,204,115,118,98,110,89,26,129,169,116,194,160,134,186,146,143,188,142,116,193,194,196,199,202,203,204,204,206,206,115,121,94,117,78,32,127,172,110,183,168,122,191,162,132,192,153,112,188,197,197,201,203,204,204,206,208,207,116,124,91,123,67,37,126,185,112,180,183,113,178,176,126,196,163,109,178,199,199,201,204,205,205,208,209,208,118,126,91,130,57,45,121,201,126,159,195,117,137,178,104,171,171,105,167,203,199,202,204,205,206,208,209,209,123,128,92,133,47,53,111,190,128,133,196,120,123,172,121,170,174,106,145,207,199,203,205,205,206,209,210,208,126,125,95,132,39,63,102,182,151,118,176,154,154,157,171,179,142,104,122,205,199,203,205,206,208,208,208,208,129,123,99,128,32,70,97,185,164,114,168,176,150,136,160,173,126,90,103,194,202,203,206,207,208,208,208,209,131,120,105,124,28,75,96,179,156,163,168,169,174,157,194,203,140,88,77,177,206,202,206,208,209,210,211,210,136,118,111,118,26,80,97,179,180,182,150,155,165,164,192,188,148,110,72,150,210,202,207,208,210,210,211,210,142,115,121,115,26,83,99,193,192,161,140,132,145,154,160,168,171,140,88,114,209,204,208,209,210,210,211,212,147,113,130,106,27,84,96,183,185,146,125,139,146,163,190,185,187,169,123,95,195,205,206,206,208,208,209,210,150,109,138,93,29,84,88,162,183,141,124,143,148,170,205,203,193,185,146,102,188,203,202,203,205,207,206,204,149,106,146,81,29,82,88,131,185,153,131,132,156,171,202,213,188,174,136,108,190,200,201,203,205,205,211,236,149,104,150,70,42,85,91,106,173,161,141,130,154,170,200,209,185,161,124,97,189,200,201,204,207,202,213,248,147,107,144,119,99,115,121,120,156,176,154,135,141,164,193,201,179,155,118,95,174,181,183,185,184,187,176,179,145,108,147,127,70,78,80,78,95,170,161,150,139,154,187,190,165,147,113,91,103,104,108,103,130,181,179,171,142,111,151,121,75,81,83,87,82,118,167,157,150,145,167,177,154,137,106,91,104,105,102,106,177,184,176,166,137,112,151,118,75,82,83,83,87,82,140,164,156,143,140,156,141,121,100,95,101,103,96,149,195,180,173,164,131,108,153,112,72,79,80,82,85,80,104,166,149,133,127,130,125,113,91,95,100,98,103,183,188,177,167,161
12,178,180,181,183,185,186,186,188,187,188,188,189,189,190,191,190,190,191,192,190,190,191,191,190,190,189,188,187,181,183,184,184,186,187,188,191,189,190,190,190,190,191,191,194,192,194,194,192,192,193,192,191,191,191,190,189,184,185,185,187,188,188,189,192,191,190,190,193,193,198,196,184,194,194,194,196,195,193,194,193,193,192,193,192,185,187,187,189,190,191,191,193,190,196,207,192,189,222,211,159,142,204,200,174,190,195,194,195,195,194,194,193,186,187,188,191,192,194,193,192,196,242,236,188,162,233,216,153,80,187,210,147,132,201,196,197,197,196,196,195,186,188,191,193,193,195,195,190,202,251,239,184,156,236,214,164,79,191,190,142,82,179,205,195,197,197,197,196,187,190,193,194,194,196,195,191,211,244,235,188,149,240,208,172,115,207,177,119,68,147,213,197,199,199,199,200,190,192,194,194,196,193,206,234,189,188,223,224,133,219,231,161,135,210,188,118,57,132,213,198,201,200,200,200,190,193,195,196,198,193,240,239,184,132,178,188,109,190,221,113,135,225,160,98,53,124,212,200,203,202,202,201,193,195,196,199,194,211,251,239,209,130,144,140,63,94,121,79,146,176,95,66,57,117,216,202,204,204,202,201,194,197,197,199,195,227,247,241,212,160,112,124,66,48,50,170,205,180,125,119,104,125,219,203,205,205,203,202,196,197,200,200,196,236,218,230,220,179,125,67,99,75,165,246,239,215,173,167,139,134,219,205,207,205,205,204,196,199,200,200,200,247,240,203,209,183,133,78,73,141,251,245,235,212,179,152,121,109,214,208,208,206,205,206,199,201,203,198,216,251,244,194,191,187,147,105,60,222,251,244,234,213,182,143,104,109,217,210,210,208,207,208,200,202,206,199,217,251,245,225,177,169,192,153,106,251,248,246,234,211,167,136,98,109,220,209,212,210,209,209,200,203,205,204,209,251,248,224,189,156,162,178,206,251,246,245,234,203,166,133,102,92,214,215,212,212,211,210,202,203,206,203,213,251,250,233,214,206,169,217,240,251,240,240,234,196,172,126,95,89,214,217,213,212,213,211,203,204,207,204,217,251,250,244,229,225,202,216,228,251,236,232,224,201,164,121,80,116,227,212,216,214,214,214,203,205,208,207,215,251,250,248,237,226,209,214,215,244,232,218,209,201,146,109,69,176,226,214,217,216,216,215,205,206,209,210,210,247,250,249,240,219,202,214,215,234,223,207,206,185,130,83,97,224,218,217,217,217,217,216,205,206,208,213,208,233,251,245,236,211,194,205,211,225,220,205,192,158,110,61,174,229,218,218,218,217,217,217,209,213,215,220,213,235,251,228,219,208,201,211,217,236,223,199,176,137,72,108,228,219,222,219,218,219,220,218,197,182,169,159,139,133,132,107,100,99,92,98,87,88,83,76,76,72,45,178,243,224,223,222,221,221,222,221,128,115,108,104,84,68,66,60,48,37,30,27,10,7,9,5,2,3,8,35,102,208,225,220,220,220,219,219,123,107,112,102,89,77,72,64,54,44,40,32,19,16,14,12,7,3,1,0,0,186,229,219,220,219,218,218,153,103,111,102,88,79,67,61,51,41,36,27,16,15,16,12,5,1,4,0,86,239,218,221,220,219,220,219,176,105,110,97,87,77,64,58,48,40,34,26,17,16,15,11,4,0,0,0,180,237,221,224,222,221,223,222,188,109,106,98,90,77,69,58,49,37,30,27,18,16,14,10,4,0,0,3,210,229,226,226,224,223,223,223
8,204,206,206,208,209,209,213,209,210,208,207,207,206,206,205,203,201,201,200,199,197,194,194,192,188,188,185,184,207,208,210,210,211,204,190,213,213,211,210,209,208,208,206,205,203,201,201,201,200,198,195,193,190,188,186,185,209,210,212,211,217,200,115,190,222,214,214,212,209,209,207,207,206,203,202,201,201,199,197,194,192,189,188,188,211,212,214,212,219,178,103,169,228,215,216,213,212,212,210,209,208,207,205,204,202,201,199,197,194,190,190,190,211,214,216,215,220,177,93,174,230,217,218,214,214,214,212,212,211,210,208,206,205,202,201,200,197,191,192,191,214,215,216,218,220,171,84,189,228,218,219,221,219,216,214,213,212,210,212,214,203,205,203,201,198,195,194,193,216,218,220,219,223,173,83,187,230,220,221,206,218,222,218,221,214,163,132,179,177,167,210,201,202,200,197,195,218,220,221,220,226,193,98,172,235,223,198,147,135,212,178,147,170,166,119,89,153,126,212,202,202,200,199,196,220,221,221,223,226,188,89,153,241,212,191,172,123,142,163,113,103,176,148,84,106,117,190,212,202,202,201,198,220,222,224,225,226,190,120,127,237,206,200,190,143,113,165,131,111,175,135,86,76,108,120,214,205,202,202,200,221,224,226,228,226,217,174,119,219,209,194,202,151,98,153,150,104,152,121,80,60,119,92,148,217,203,203,201,222,225,225,227,228,225,181,125,180,184,163,199,155,100,128,158,92,131,164,104,60,123,96,113,220,204,205,202,223,225,227,228,229,230,190,178,166,168,136,180,156,95,97,156,98,123,190,107,76,142,86,147,223,205,206,204,226,227,228,230,231,233,225,201,161,147,137,159,158,103,83,128,93,46,108,68,101,143,80,184,217,208,208,205,227,228,229,230,231,232,230,181,141,111,107,130,175,154,82,60,61,71,58,111,160,127,90,211,213,210,209,207,229,228,229,232,233,235,226,180,150,116,97,100,184,167,107,61,119,176,167,155,167,101,110,227,211,210,208,206,228,229,232,233,234,234,234,207,168,121,102,100,152,144,98,110,181,178,178,139,124,76,140,230,212,211,209,207,227,229,234,234,235,236,232,211,171,132,107,100,138,162,162,188,202,172,163,126,92,68,198,223,215,212,210,209,228,230,233,234,236,236,232,217,181,147,119,101,143,207,218,213,196,163,149,117,56,132,233,216,216,213,212,210,228,230,234,236,237,238,228,214,188,151,121,114,162,217,207,202,180,150,133,96,69,216,224,218,217,215,213,211,231,232,233,236,237,238,221,207,196,156,128,128,175,207,204,196,164,142,121,64,149,237,220,219,218,217,213,211,232,234,234,237,239,240,224,213,202,162,140,133,182,197,202,184,150,130,95,78,224,227,222,220,220,218,215,212,233,234,236,239,240,242,235,219,208,173,146,128,176,188,183,163,133,114,57,160,241,224,224,222,220,219,216,213,231,234,238,238,239,242,238,227,207,174,148,134,164,176,161,141,115,73,91,235,229,228,225,223,221,219,216,213,233,235,238,238,239,241,240,225,198,170,151,142,150,167,149,127,97,61,207,236,228,228,224,224,221,219,217,216,235,237,238,238,239,241,240,226,199,180,169,161,148,160,141,118,63,159,248,228,229,228,226,224,219,219,218,216,233,236,239,240,241,239,236,231,207,199,177,168,155,152,124,86,93,239,234,233,231,229,226,223,220,220,218,214,234,236,240,240,243,231,225,234,211,204,174,168,155,130,111,67,162,249,233,234,231,228,227,226,223,221,220,217
23,98,108,122,129,133,137,141,144,145,148,149,152,153,156,156,158,160,160,161,162,163,165,166,167,168,169,169,169,99,109,123,130,134,138,142,145,147,149,150,154,155,156,158,159,159,161,162,162,165,165,167,167,168,169,169,170,100,112,126,130,135,139,142,145,148,149,152,154,156,158,159,160,160,161,163,162,166,167,169,168,169,170,171,171,103,114,127,131,137,140,142,145,149,152,154,155,156,160,161,162,163,165,164,165,167,167,169,168,170,172,172,172,103,115,128,132,138,141,144,147,150,152,155,156,157,159,161,162,164,166,165,165,166,168,170,173,172,173,174,174,104,117,129,134,139,142,145,148,151,152,155,157,159,161,161,163,165,165,167,170,158,159,162,126,162,176,174,175,107,119,131,134,140,143,146,149,153,155,156,158,160,162,162,163,163,173,181,168,145,133,112,99,170,176,174,176,110,122,132,136,140,142,147,151,153,155,158,159,161,163,163,168,178,173,168,130,97,122,128,166,179,176,177,179,110,124,133,137,141,144,147,150,153,155,158,160,162,163,160,191,177,142,117,99,148,160,181,179,177,178,179,181,111,126,133,137,140,145,148,151,154,155,158,161,162,163,163,196,178,114,107,181,174,103,161,180,177,179,180,180,112,126,132,137,141,145,149,151,155,156,160,162,163,163,168,200,180,160,197,190,152,117,138,189,179,180,181,181,113,127,133,138,143,146,151,153,155,157,159,162,163,164,175,197,184,199,186,162,151,161,131,146,155,184,181,182,114,128,133,138,143,147,151,154,156,157,159,162,165,164,176,187,182,184,173,179,180,167,123,84,102,171,187,183,116,128,134,138,143,148,151,154,156,158,159,164,165,167,176,174,169,179,184,175,164,147,107,70,72,126,192,184,117,129,134,139,145,148,152,155,156,158,163,163,171,184,177,165,167,172,166,161,163,141,95,67,73,82,126,185,119,130,135,139,145,149,152,155,157,160,163,159,189,201,172,168,168,168,165,158,142,123,93,71,66,92,86,147,120,130,135,139,144,149,153,155,157,159,162,161,177,205,183,182,165,137,119,106,109,128,92,68,62,89,91,162,121,131,136,141,144,149,154,157,159,159,162,163,172,200,185,172,152,137,98,52,110,134,91,69,80,93,115,191,123,132,136,142,146,151,155,158,160,160,163,165,175,194,172,162,172,127,83,69,125,111,68,68,98,93,153,195,124,133,135,140,146,151,155,159,161,161,164,165,174,197,170,176,174,116,60,66,73,51,61,81,100,109,189,189,126,132,137,141,146,151,155,157,160,162,165,166,175,192,173,181,164,128,79,37,42,61,87,97,90,143,195,187,126,133,138,143,146,152,155,157,160,162,164,166,177,189,174,186,165,128,94,47,65,90,103,105,101,180,189,189,127,133,138,143,147,153,156,159,161,162,166,165,179,187,178,184,166,129,104,62,78,101,108,97,133,197,186,190,127,132,138,144,148,152,156,159,161,164,167,166,181,187,182,181,161,130,102,64,84,105,107,91,158,195,189,191,128,132,138,144,148,152,156,159,161,163,167,167,183,189,176,172,157,129,103,78,83,105,102,98,183,191,190,191,128,132,138,145,147,152,157,160,161,164,168,167,182,187,170,166,151,129,106,90,84,102,90,128,196,186,189,190,128,132,139,145,147,151,156,160,162,164,167,168,183,186,171,166,148,131,112,94,87,95,93,177,192,189,190,190,127,132,139,143,149,152,156,161,163,164,168,167,190,185,174,167,150,134,116,96,91,87,141,195,188,191,191,192
19,186,187,189,192,191,192,195,195,196,196,197,196,195,195,194,196,197,193,193,192,192,191,190,190,189,188,187,187,187,189,190,193,194,195,197,197,197,197,197,197,197,195,195,176,178,198,194,194,194,194,194,193,191,190,189,188,188,191,193,195,197,197,198,199,199,199,199,198,196,206,201,155,107,182,200,194,195,195,195,194,192,190,189,190,189,192,195,196,197,199,199,199,199,199,200,201,196,218,199,162,100,149,208,195,196,196,195,195,193,192,192,191,191,194,196,197,198,200,201,202,201,201,202,201,199,222,194,165,103,137,209,195,197,197,196,196,194,193,194,193,193,196,197,200,202,202,204,203,204,203,203,203,204,221,182,154,94,130,212,197,200,198,196,194,196,194,195,194,195,197,200,202,203,203,204,204,204,204,205,202,208,221,167,128,90,133,210,192,195,188,202,209,180,196,196,196,196,198,202,202,204,204,205,205,204,205,205,202,207,215,180,157,175,194,200,187,207,188,230,242,138,195,196,197,197,200,202,203,205,208,208,206,205,205,210,213,211,202,203,201,219,223,208,192,206,197,185,165,147,203,197,197,199,202,203,205,207,208,208,206,214,222,228,234,229,210,187,179,179,178,164,145,137,136,134,153,197,201,201,200,202,204,205,208,206,215,217,212,226,235,234,225,207,196,186,177,139,102,124,143,166,179,200,208,202,202,201,199,203,204,207,207,214,236,225,219,217,216,216,212,213,212,211,216,162,103,204,210,212,209,206,203,202,202,201,200,204,205,210,206,223,240,228,224,216,219,225,226,222,215,211,200,153,89,194,210,205,206,206,204,204,202,202,202,206,208,211,210,220,240,226,217,223,230,229,231,221,208,204,183,134,77,152,219,205,209,206,205,205,204,203,202,208,210,211,210,220,234,212,208,215,225,228,214,204,213,219,218,156,81,101,213,210,209,209,207,205,205,204,203,209,211,214,212,228,221,204,205,206,193,192,215,230,221,212,222,157,85,79,191,216,210,209,209,208,208,205,205,210,213,215,214,228,205,206,211,208,193,217,229,213,202,203,195,139,90,67,171,221,211,211,211,209,209,209,208,210,213,216,215,219,221,226,223,228,234,230,216,207,201,187,162,117,85,65,189,218,212,212,212,212,211,209,208,211,214,217,217,215,239,238,224,220,222,221,207,190,185,200,208,161,68,135,224,212,213,213,214,213,212,211,209,212,214,217,219,214,228,239,215,208,199,169,162,203,227,225,225,185,82,168,226,213,215,213,215,213,212,212,211,212,216,218,220,220,212,227,209,202,191,185,212,237,216,191,187,161,86,115,229,215,217,215,216,214,212,211,211,214,216,218,221,223,216,215,230,228,220,227,227,210,190,178,166,131,65,149,230,216,218,217,216,214,213,212,211,213,216,219,221,226,219,212,232,231,207,206,207,193,176,155,119,112,155,214,222,219,219,219,217,216,214,215,212,213,216,218,222,225,221,209,218,219,193,193,184,164,140,105,72,191,234,220,221,220,219,219,218,216,216,215,213,213,215,218,220,223,219,202,211,208,179,169,150,125,102,87,75,173,229,218,219,219,218,217,217,215,215,215,213,214,217,219,221,223,223,197,200,200,171,156,153,136,95,89,76,121,234,218,220,220,218,216,217,216,216,215,213,215,218,220,223,225,222,199,193,190,169,146,129,112,91,88,75,119,233,219,221,220,218,217,218,218,216,214,213,216,219,221,223,225,219,199,199,184,180,155,126,102,95,91,74,128,236,221,222,221,219,219,218,218,217,216,215
7,125,136,143,148,152,154,156,157,160,162,163,163,164,165,166,166,166,166,165,164,163,161,160,160,158,157,155,154,126,137,143,149,153,156,156,158,161,164,164,165,166,166,167,167,167,167,166,165,164,164,162,160,160,159,157,155,127,138,145,150,154,156,158,159,162,165,165,167,167,168,169,169,169,168,168,167,165,165,163,162,162,160,159,158,128,138,146,151,155,157,159,161,164,165,165,168,170,170,171,170,170,170,170,169,168,166,166,165,163,162,161,159,129,138,146,152,155,159,160,163,165,166,167,169,170,171,171,171,172,171,171,171,169,167,167,166,165,163,163,160,131,139,147,152,156,160,160,163,166,167,169,170,170,172,172,172,172,172,171,171,170,169,168,168,167,165,163,162,131,140,147,153,158,160,161,164,167,168,169,171,172,173,175,177,178,178,176,175,175,174,171,170,170,166,165,163,131,140,148,154,159,161,163,167,171,172,174,173,171,170,167,160,153,150,149,151,140,130,143,145,155,169,165,165,132,141,149,153,159,163,161,150,144,139,138,138,131,120,114,120,96,99,106,106,103,102,142,138,124,172,166,166,133,142,149,153,159,161,146,118,105,114,114,119,118,111,105,96,93,93,97,90,97,94,103,97,126,169,170,167,134,142,149,153,157,152,137,108,91,96,98,100,104,106,107,108,109,95,95,105,99,95,89,84,99,116,142,170,134,143,149,149,146,137,130,116,102,98,104,113,118,120,119,116,111,86,87,106,96,88,89,80,93,107,103,168,138,148,146,143,137,136,133,122,116,117,121,127,119,116,113,109,91,78,79,80,74,71,71,68,73,83,123,172,154,148,145,143,143,140,127,103,86,94,105,107,95,89,85,80,76,90,103,118,127,136,140,144,148,155,170,171,155,150,150,148,139,123,119,86,73,86,84,67,87,129,139,156,165,175,183,187,186,185,183,183,180,177,173,171,153,152,149,137,121,118,109,83,73,65,55,49,63,96,97,141,191,182,180,179,178,178,177,176,174,174,173,171,154,152,139,124,115,109,111,110,90,64,60,65,61,53,45,48,169,185,181,182,180,180,179,178,177,175,173,172,151,139,120,114,112,111,119,124,98,65,64,67,67,65,61,61,172,186,182,182,182,181,180,179,179,177,176,173,132,119,110,109,106,101,106,101,74,59,54,53,59,60,57,51,162,188,181,182,182,182,180,179,178,178,175,173,118,112,108,107,103,91,88,80,67,52,45,55,63,64,54,58,162,188,182,183,182,181,180,179,178,177,175,173,114,107,102,96,88,77,75,82,78,61,64,72,69,55,69,168,188,184,184,183,182,181,179,179,179,177,176,174,103,93,89,86,84,83,90,98,85,66,58,57,65,83,161,189,183,184,184,183,182,181,179,178,178,177,176,173,99,95,94,89,86,86,89,85,65,61,104,137,160,181,184,180,182,181,181,181,180,179,178,177,176,176,174,172,93,94,91,85,78,74,70,69,92,150,182,184,183,179,179,182,182,182,181,181,180,179,178,177,177,175,173,171,66,68,79,79,80,87,114,150,174,178,174,176,178,179,180,182,183,182,182,181,180,179,178,178,176,174,173,171,27,30,142,142,152,163,170,171,170,172,175,178,178,179,179,180,180,180,180,180,180,178,178,176,174,172,171,169,7,44,154,153,160,162,162,167,171,173,175,178,180,182,181,182,182,181,182,182,182,181,179,179,177,176,175,172,1,73,169,153,156,157,158,159,160,160,158,158,160,160,159,156,154,154,153,149,146,144,142,139,136,132,127,101
12,173,174,173,173,173,174,175,174,174,170,169,169,168,167,167,167,164,164,164,160,160,157,156,156,156,155,152,151,176,177,175,175,175,176,177,176,175,173,172,172,170,170,169,168,167,165,166,165,164,162,159,159,158,158,156,154,180,180,178,178,179,180,179,179,179,177,176,176,173,173,172,169,172,170,169,167,167,165,165,162,160,159,158,157,183,183,181,182,182,183,182,183,184,181,179,179,177,177,176,179,173,173,173,177,172,166,167,165,164,161,160,159,185,184,184,185,184,185,185,185,185,184,182,183,180,165,129,142,181,175,161,146,158,176,169,166,166,166,163,163,189,187,185,186,189,188,187,187,187,185,185,185,185,167,136,79,147,176,146,112,76,151,180,172,171,168,167,166,192,191,188,190,192,192,190,187,189,188,187,185,196,189,156,114,76,137,168,129,71,84,182,157,171,174,169,168,193,192,191,192,192,192,192,191,192,192,187,193,200,202,171,140,75,74,180,138,95,55,92,112,96,158,176,170,193,194,194,194,194,194,196,195,193,194,196,195,177,191,181,137,103,52,158,146,111,46,40,105,67,83,184,172,196,196,197,195,195,195,196,198,195,181,171,186,173,180,174,131,88,32,140,145,111,45,33,94,64,33,171,178,197,197,197,195,196,197,198,194,193,162,115,130,165,157,166,115,68,39,156,136,100,38,29,84,58,25,168,181,200,199,199,198,201,202,198,188,195,170,147,120,117,106,170,127,80,55,166,122,91,33,46,97,59,46,188,179,201,200,202,201,204,203,199,195,195,188,171,156,92,63,170,168,100,66,166,126,82,38,89,113,47,94,197,180,203,204,204,203,204,202,204,185,158,184,184,163,123,77,164,166,96,72,183,154,84,74,123,99,37,145,193,182,206,205,206,204,206,201,206,188,123,134,183,167,133,68,100,137,68,98,199,148,76,110,153,101,46,175,189,185,207,208,209,208,207,204,212,209,165,74,110,160,105,52,26,47,17,53,153,124,65,146,169,93,102,195,186,188,209,208,210,211,208,208,199,177,139,86,52,138,83,54,34,38,23,49,92,57,63,202,163,75,105,205,188,190,210,210,211,213,209,202,206,191,166,127,62,99,101,77,61,59,59,131,164,136,133,145,110,44,47,203,191,190,212,211,211,212,211,200,213,206,176,122,77,78,113,104,68,67,145,173,177,154,162,131,53,25,54,201,192,192,213,213,213,213,213,198,213,215,183,136,112,88,101,114,91,150,207,196,191,148,144,135,78,25,104,211,191,193,213,212,213,214,214,199,210,215,187,155,123,106,103,132,184,207,216,207,188,144,130,116,67,26,166,205,194,193,215,215,215,216,216,202,202,208,187,160,125,113,110,152,214,211,211,197,170,135,115,96,52,46,203,199,197,194,217,218,218,217,218,203,194,199,189,161,125,123,115,168,218,208,203,183,153,129,104,83,30,101,216,197,199,198,219,220,219,218,222,204,192,199,187,159,129,129,122,186,210,208,193,164,141,124,94,63,36,186,208,201,200,199,220,220,219,218,222,210,191,195,193,170,140,125,122,192,201,202,183,152,130,109,86,31,90,219,202,204,202,201,220,221,220,220,222,217,194,194,193,182,150,122,119,184,192,187,165,140,115,90,68,22,169,214,205,205,204,202,222,222,220,221,223,221,195,194,191,174,142,122,117,163,178,166,146,117,94,73,29,72,219,206,210,207,205,204,222,221,221,223,224,220,196,193,185,165,136,123,120,149,164,152,130,103,75,52,23,176,217,207,210,208,206,205
3,168,170,170,170,170,171,171,171,171,171,171,171,170,169,167,166,164,154,162,162,161,160,158,157,154,152,150,149,171,173,173,173,173,173,174,174,174,174,175,175,173,172,171,170,168,122,144,167,165,163,161,160,158,156,154,152,174,176,177,177,177,178,178,178,178,178,179,179,178,177,175,174,162,105,119,171,168,166,165,164,162,160,157,155,179,180,181,180,181,182,182,183,183,182,181,181,181,181,179,177,160,100,102,172,172,170,169,167,165,163,161,159,183,183,184,185,186,186,186,187,187,186,185,185,184,184,183,181,160,97,95,174,175,173,172,171,169,166,164,162,186,187,187,187,188,190,189,189,189,189,188,188,188,187,186,184,161,101,92,174,178,176,175,174,172,170,167,164,189,190,191,191,191,192,192,193,192,192,192,191,191,190,188,187,168,106,87,174,181,179,177,175,175,173,170,168,192,193,194,194,194,195,195,195,195,195,195,195,194,193,192,188,165,98,87,177,184,182,180,178,178,176,173,171,194,196,197,197,197,197,197,196,196,196,197,197,197,196,195,187,159,109,93,171,187,184,183,181,180,178,176,173,196,196,197,199,199,200,200,199,199,199,200,200,199,199,197,191,171,130,91,158,190,187,186,184,183,181,178,175,197,199,199,200,200,201,202,202,202,202,202,202,201,200,200,193,175,130,82,145,193,189,187,187,184,182,180,177,200,200,201,201,201,202,203,203,203,203,203,204,203,202,199,194,181,133,85,126,195,191,189,188,187,184,182,180,202,202,202,203,202,203,204,205,205,204,205,206,205,199,183,169,158,152,116,143,176,194,192,189,188,186,183,181,203,203,203,204,204,205,206,207,207,207,207,205,195,187,178,134,99,137,150,171,121,160,192,192,190,188,186,183,204,204,205,206,207,207,207,207,208,208,201,182,142,148,173,131,90,102,149,151,89,72,136,193,192,190,187,185,206,206,207,208,208,209,209,209,209,202,190,171,128,107,143,150,108,83,124,132,91,63,77,179,195,191,189,187,206,207,207,208,209,210,209,210,208,193,176,152,142,125,114,154,119,74,80,100,101,70,66,169,197,193,191,189,207,208,208,209,210,210,210,211,205,184,152,116,126,126,95,126,124,77,66,85,116,83,62,158,198,194,191,190,207,208,208,209,211,212,213,213,208,185,161,111,83,102,64,89,114,67,67,87,126,109,65,141,199,195,193,191,206,207,208,209,211,212,213,213,213,187,158,128,97,78,61,82,87,56,82,121,141,123,72,145,200,196,195,192,207,208,209,209,210,211,212,213,214,189,168,156,122,88,84,101,99,93,145,155,140,100,90,184,198,196,194,191,208,209,209,210,211,212,213,213,214,195,164,159,134,105,98,118,159,167,174,147,113,75,137,200,196,195,194,192,208,208,209,211,212,213,213,213,215,203,162,155,138,112,101,111,167,170,155,123,86,76,176,202,200,195,175,146,209,209,210,211,212,213,214,215,216,213,169,140,131,113,105,105,149,153,133,97,67,117,194,179,154,122,82,61,168,172,175,179,183,188,191,194,196,198,181,138,130,122,115,100,122,130,108,72,78,133,109,78,59,49,44,45,105,107,108,109,110,113,114,115,115,116,126,151,134,126,110,90,90,89,67,55,71,68,50,41,43,38,37,35,106,106,107,108,107,107,112,111,111,110,131,170,156,130,102,85,82,78,58,56,58,52,49,36,37,32,30,30,107,108,108,109,108,109,115,113,114,114,143,164,161,137,114,101,89,77,55,54,51,47,42,40,29,27,25,28
19,124,127,131,134,137,139,141,142,143,144,144,144,145,144,144,145,145,144,143,143,142,142,141,138,145,149,123,165,127,131,135,137,139,142,144,146,147,147,148,148,147,149,147,147,147,146,146,146,146,145,144,140,154,117,115,169,131,134,138,141,143,145,147,150,151,152,152,152,153,147,154,152,151,150,150,150,149,148,148,146,146,150,162,167,134,138,140,144,147,149,152,152,153,155,153,164,161,112,113,158,153,153,152,152,152,151,150,150,146,154,149,126,137,141,144,147,150,152,155,156,157,159,155,177,159,107,75,147,160,156,156,155,155,155,153,152,150,150,137,129,141,145,148,151,154,157,158,159,161,163,160,179,159,118,71,123,168,158,158,157,158,157,156,155,153,153,149,151,143,148,151,154,158,160,161,163,163,166,163,181,165,128,75,101,172,160,161,161,160,160,158,157,156,155,151,155,147,149,153,158,161,162,164,166,167,169,166,182,163,120,66,78,176,168,167,165,164,164,162,160,158,158,155,158,149,153,157,160,162,166,168,169,170,173,171,183,158,120,95,113,148,143,153,156,158,159,163,167,166,163,159,160,151,155,159,162,164,169,171,174,173,171,167,173,164,158,162,164,135,110,129,141,129,120,126,127,144,154,160,164,153,157,161,164,168,170,165,149,151,164,166,173,169,172,169,153,137,122,133,149,136,132,130,115,142,142,128,163,155,159,163,167,167,183,166,145,153,157,156,158,156,150,146,135,122,96,96,114,122,124,126,114,122,131,105,149,156,160,164,169,171,190,167,155,151,138,141,146,143,140,141,138,129,83,117,130,129,123,116,113,116,135,56,131,159,162,166,168,176,169,127,118,128,137,151,153,145,145,143,142,137,100,152,194,183,180,177,173,182,149,41,86,160,163,168,169,186,153,128,124,126,134,139,136,140,142,140,139,124,82,143,187,178,179,177,177,186,88,50,49,161,164,168,172,179,139,139,140,137,127,102,110,127,117,105,111,96,75,173,182,183,189,188,182,144,58,53,54,162,165,170,173,180,170,153,132,124,130,134,131,127,122,116,111,100,91,189,194,177,146,108,70,51,52,54,55,162,166,171,173,184,194,170,130,108,126,133,133,132,130,123,115,112,90,138,117,52,39,46,40,42,49,49,52,163,167,170,175,185,193,170,132,120,114,106,108,114,113,105,99,95,82,41,26,37,31,36,34,48,46,45,49,164,169,171,177,184,183,179,140,124,107,90,94,107,107,99,93,81,62,42,40,43,37,31,28,39,42,38,45,164,170,171,181,188,189,189,154,121,99,114,123,120,115,105,99,80,34,32,46,37,35,35,35,29,33,34,39,165,169,170,180,189,190,192,162,119,96,108,114,110,102,90,84,78,33,23,37,39,36,27,29,35,34,33,34,164,169,169,175,190,186,175,141,116,108,107,114,113,97,85,90,70,35,27,27,36,38,30,18,28,30,39,39,164,169,170,175,187,180,166,136,118,115,107,109,95,79,87,90,32,29,34,25,26,38,37,22,21,23,34,37,163,169,169,175,182,178,158,134,114,116,111,95,68,60,69,58,15,18,28,25,26,29,39,30,17,23,21,19,166,171,169,174,177,171,139,115,118,141,112,66,59,33,1,27,33,15,20,26,26,27,30,37,22,19,21,18,157,161,161,177,173,161,137,120,133,136,101,64,58,25,0,10,34,28,19,26,22,22,24,29,30,14,19,17,97,93,146,182,170,161,143,138,144,126,95,70,46,37,1,0,22,34,25,23,21,15,22,22,29,19,12,18
24,175,176,176,176,176,177,177,177,177,176,176,176,175,173,171,170,169,168,166,165,163,161,161,158,156,154,153,150,179,178,179,180,180,180,179,179,179,179,179,179,178,176,175,174,172,171,169,172,169,165,164,162,161,159,155,153,182,183,184,185,184,183,183,181,182,183,184,183,181,179,178,177,177,175,172,137,162,172,167,166,164,161,158,155,185,185,186,185,186,186,185,187,185,186,186,185,184,183,181,180,180,178,180,102,120,181,168,169,166,164,162,159,188,188,187,188,189,192,193,187,187,187,187,187,186,185,184,184,182,182,187,103,112,183,171,171,168,167,165,162,192,192,192,193,196,165,169,196,190,191,191,190,189,188,187,186,184,187,188,99,117,188,176,175,173,171,168,167,194,194,194,195,194,140,95,190,196,196,195,194,193,192,191,190,186,195,184,92,134,190,177,178,175,173,170,170,196,196,196,196,194,154,86,143,208,195,198,198,196,194,193,193,187,203,179,92,151,191,179,179,177,175,173,171,199,199,198,198,203,176,108,105,211,196,199,200,197,195,195,195,197,202,154,82,170,190,183,182,180,179,175,173,201,201,201,200,204,191,131,77,196,203,200,200,204,202,198,189,192,206,130,77,190,188,186,187,183,181,178,176,202,203,203,201,203,201,163,81,155,215,201,203,176,177,202,165,102,142,124,106,203,188,190,188,184,183,181,178,204,204,205,205,204,206,177,101,102,216,205,186,155,130,146,140,99,76,86,139,205,191,193,190,186,185,184,181,207,207,208,208,207,211,183,129,75,193,204,179,173,144,132,120,148,111,41,168,204,194,194,192,189,188,186,182,209,210,209,209,209,211,195,167,99,139,185,174,183,141,145,144,152,105,53,192,201,197,195,194,192,188,187,185,210,212,211,211,210,211,205,187,116,91,134,144,203,145,103,106,136,129,60,173,209,200,197,195,194,191,189,187,211,212,213,212,213,215,214,191,154,135,116,115,180,152,66,38,159,153,74,112,218,198,200,197,196,195,191,187,214,214,214,214,215,216,215,197,201,150,95,69,155,128,62,32,134,175,126,59,181,206,200,200,199,196,193,190,216,216,217,217,217,216,218,202,192,125,94,73,148,114,52,76,191,192,159,60,125,217,198,201,200,197,193,192,217,218,218,219,220,219,220,211,190,160,149,94,142,141,75,164,206,182,136,54,132,216,199,201,200,197,195,194,218,220,221,220,220,221,223,215,194,190,160,104,123,111,141,219,189,164,120,41,163,216,202,203,201,198,196,195,219,220,220,220,220,220,223,217,185,201,173,139,95,117,208,214,184,150,110,50,188,214,204,204,202,202,199,196,219,219,219,220,220,221,223,219,190,186,175,158,106,128,210,199,175,143,92,59,203,209,204,203,202,201,197,195,220,220,220,222,222,223,222,224,190,175,173,170,130,116,199,199,163,128,72,73,215,206,205,203,201,198,195,192,221,222,223,224,223,224,223,228,198,177,177,173,159,112,183,195,153,109,45,115,225,206,207,205,202,198,199,203,221,222,223,222,221,223,224,226,214,185,183,172,172,99,146,171,119,79,27,166,219,206,207,203,204,212,189,144,228,230,232,231,232,235,234,235,231,190,189,173,155,109,109,136,99,53,48,210,214,210,213,217,201,158,75,31,146,150,156,162,166,170,175,179,183,196,186,162,146,133,99,127,105,33,119,220,205,205,187,134,76,32,24,24,91,92,94,94,91,91,91,86,103,199,192,177,171,145,117,128,89,40,87,105,100,88,60,28,27,32,23,22
10,130,131,131,134,133,135,137,136,136,137,138,136,135,135,134,132,131,130,128,127,122,137,124,75,118,115,113,111,136,136,138,139,140,140,142,143,142,142,141,141,141,140,139,138,136,134,133,133,124,151,138,47,110,120,115,114,142,143,144,145,146,147,148,148,149,149,146,146,147,146,145,144,142,139,138,138,131,155,140,49,103,128,119,118,148,150,150,151,152,153,153,154,154,152,153,152,153,151,150,148,146,145,143,143,136,160,127,42,102,135,124,122,153,155,156,157,158,157,158,158,160,159,159,160,159,157,156,154,152,151,148,148,142,164,133,46,102,140,128,128,158,159,161,162,163,163,163,163,166,165,163,165,165,164,162,160,157,155,153,153,147,174,140,53,109,145,133,131,162,164,165,166,166,168,168,169,169,168,167,168,170,168,166,166,162,160,158,155,155,182,129,108,113,147,139,135,167,169,169,170,170,171,173,174,173,172,173,173,174,172,170,169,168,166,164,163,165,175,152,138,51,150,143,139,169,172,174,174,175,175,176,176,175,175,176,176,176,176,175,174,173,171,167,162,131,119,161,137,26,128,156,143,174,175,176,178,179,178,178,180,179,179,178,179,181,180,180,177,175,177,176,180,165,122,97,116,55,41,161,148,177,178,180,182,183,183,183,185,184,183,184,184,185,184,184,183,180,165,143,162,185,148,106,64,69,21,92,165,183,183,184,185,185,185,187,186,186,187,187,187,186,187,183,179,188,153,105,64,93,165,164,116,40,35,44,166,185,185,187,188,188,188,190,189,189,189,190,190,188,189,162,108,132,183,145,81,0,88,158,75,23,14,56,170,188,188,190,191,190,191,193,193,192,192,192,192,190,187,174,138,87,166,178,115,15,0,20,80,58,12,68,177,190,190,191,192,193,193,193,193,193,193,194,194,193,176,176,177,124,109,188,128,62,0,0,127,118,22,76,181,192,192,194,195,196,196,195,196,197,196,197,195,191,156,119,164,142,58,134,145,67,6,33,121,141,38,69,182,193,194,196,197,199,198,199,199,199,199,200,196,192,172,92,88,122,22,62,151,67,15,47,116,128,33,63,183,194,196,198,199,200,200,200,201,201,201,202,200,181,156,120,70,94,56,37,140,131,56,52,119,77,14,90,187,196,199,200,199,201,202,201,203,203,202,202,198,188,196,164,91,81,90,45,111,160,86,38,93,49,6,142,184,199,201,200,202,202,203,203,203,204,204,205,203,187,201,175,128,93,82,76,147,144,59,32,72,38,28,181,178,200,202,203,204,203,205,206,204,206,207,209,210,189,195,188,148,108,97,118,196,182,125,78,69,25,69,195,177,201,203,204,205,205,207,207,208,208,209,211,211,194,176,181,158,126,113,123,187,183,150,100,66,12,114,196,178,198,200,202,204,204,203,204,206,209,210,209,211,200,171,178,167,155,131,124,179,172,130,80,49,17,163,190,182,200,200,202,203,204,204,204,206,209,210,210,210,211,175,161,173,167,136,109,158,143,106,67,19,53,195,180,182,201,201,202,206,206,208,209,209,210,211,211,210,212,196,151,161,154,132,101,122,122,85,50,0,124,199,180,181,203,203,204,206,206,208,209,208,208,210,211,210,210,210,174,159,144,124,101,101,121,85,27,38,191,188,184,181,201,204,207,210,211,215,215,215,216,218,218,218,219,212,185,162,140,133,119,100,114,78,9,115,204,184,187,190,103,105,112,117,122,129,136,142,147,152,157,163,172,170,177,168,145,152,128,106,107,63,11,147,194,182,176,124
4,158,161,165,169,172,175,177,179,181,184,186,187,188,189,190,190,191,190,190,190,189,188,188,187,187,187,186,185,159,163,166,170,173,176,178,180,182,185,187,188,189,191,192,192,192,192,192,191,191,191,190,189,188,188,187,187,160,164,168,172,174,178,180,182,184,187,188,188,188,189,194,199,178,158,179,195,194,193,191,191,190,190,189,188,161,165,169,173,175,178,180,184,187,190,190,198,182,158,183,218,182,136,132,197,195,194,194,193,192,192,191,189,162,166,171,174,178,180,182,185,187,187,199,226,195,155,145,216,185,139,112,173,179,190,196,194,193,193,192,191,164,167,172,176,179,181,183,186,197,195,187,214,207,165,130,205,188,134,82,120,144,140,188,196,195,194,194,193,165,169,173,177,181,183,184,194,223,217,172,159,212,177,127,189,186,128,73,118,146,112,137,198,196,196,195,194,165,170,173,177,181,185,185,203,220,210,158,135,201,163,113,158,164,113,73,127,150,112,100,194,198,197,196,195,166,170,174,179,181,184,187,202,205,200,154,125,181,149,104,120,140,105,86,155,157,110,95,194,199,196,196,196,167,171,175,180,182,186,187,202,201,184,159,132,165,145,105,90,120,89,112,180,148,94,99,198,200,197,196,197,168,172,177,181,184,188,188,205,215,188,165,143,145,172,133,111,121,98,118,155,126,78,101,201,202,201,199,198,169,173,178,182,184,187,189,210,225,199,158,110,114,168,149,165,148,150,159,173,154,102,109,203,202,202,200,199,170,174,178,182,184,188,190,218,221,184,147,111,92,99,113,164,154,173,188,196,175,116,117,204,203,203,201,200,170,174,179,183,186,188,191,222,208,164,132,106,89,84,88,125,149,164,175,178,159,118,105,195,204,204,201,201,170,175,179,183,187,190,194,227,212,174,140,108,94,94,105,114,125,139,145,151,151,128,93,172,207,203,202,201,171,176,180,184,186,190,198,229,210,171,132,109,99,96,109,131,127,155,167,168,166,140,99,134,207,204,204,202,172,177,181,186,188,191,202,228,207,166,130,108,104,98,115,139,153,196,200,204,193,154,110,94,193,207,206,205,173,178,182,186,190,192,203,225,204,167,137,119,111,107,118,140,186,213,218,211,205,165,116,81,169,210,207,206,173,179,182,185,189,192,203,220,200,170,143,128,118,113,119,170,214,219,218,194,186,151,111,84,174,210,206,206,171,177,181,183,188,191,201,216,198,173,145,124,113,121,143,209,226,221,202,180,156,127,93,110,199,207,206,206,171,176,181,183,188,191,198,218,205,170,137,126,119,137,173,225,225,209,182,158,130,101,82,164,208,206,205,206,172,177,181,185,189,193,196,216,207,179,159,153,129,143,193,223,214,193,165,139,111,82,117,204,208,207,206,206,173,177,182,186,189,193,195,213,210,187,165,161,134,135,204,213,197,172,146,120,93,81,175,211,209,208,206,206,173,178,182,185,189,194,192,215,216,192,170,160,133,139,200,197,174,149,122,98,75,122,208,210,209,209,207,207,173,179,183,185,190,193,192,226,222,196,169,148,120,139,184,176,148,123,99,81,81,182,211,209,208,209,208,206,173,179,183,186,190,188,209,231,215,185,160,128,112,143,161,137,108,94,80,73,148,209,210,209,208,208,207,207,167,173,177,180,183,188,226,227,213,191,160,132,127,144,136,103,89,86,74,124,197,204,204,203,203,204,203,203,133,136,136,136,133,178,229,220,211,190,157,140,136,136,120,94,91,89,78,122,141,141,141,140,141,142,143,144
14,141,144,146,149,153,156,158,161,161,161,163,166,167,167,169,171,170,169,170,171,171,172,171,171,172,171,170,171,141,145,147,150,155,157,160,160,161,163,166,168,169,169,171,172,171,172,173,173,175,175,174,173,173,172,173,172,142,145,148,152,155,157,160,161,163,165,166,168,170,170,170,176,178,175,175,174,175,177,176,175,175,175,175,174,143,146,148,153,157,158,162,164,163,166,174,170,175,171,157,147,153,169,176,180,179,177,178,177,177,177,176,176,145,151,153,156,158,160,163,165,161,187,196,182,168,150,138,140,132,134,128,131,171,181,177,177,177,177,176,177,146,150,155,158,160,162,165,159,181,217,177,142,126,102,79,101,118,109,85,84,100,185,179,179,179,179,179,179,148,152,154,157,161,162,165,161,224,198,134,91,75,67,66,63,76,81,80,91,73,134,192,181,182,183,181,178,148,152,154,159,162,164,158,194,232,161,114,91,57,54,60,46,53,75,94,92,76,81,122,135,143,186,181,182,151,153,157,160,163,165,161,229,195,125,95,68,52,64,59,47,50,65,97,98,62,88,69,97,115,186,182,184,152,155,157,161,166,158,188,236,163,110,87,53,43,53,50,61,54,154,187,179,148,95,91,101,124,192,182,184,152,156,160,162,166,162,231,221,155,108,93,81,56,33,49,56,90,190,186,186,197,122,124,103,122,195,183,184,152,157,163,167,157,195,248,207,154,106,92,81,63,52,52,57,159,191,183,188,184,117,134,106,96,190,184,184,153,158,164,168,154,211,243,204,151,100,87,75,56,61,54,98,197,184,187,189,183,109,131,115,77,161,194,185,155,160,163,170,153,206,247,204,158,115,83,64,51,58,47,132,197,185,188,192,181,105,122,116,84,142,197,185,155,162,165,171,154,208,248,204,161,127,93,66,55,55,40,146,201,189,187,194,167,122,141,123,92,156,196,185,156,163,166,173,152,216,246,207,169,129,100,78,50,53,41,114,189,190,193,202,150,127,146,127,99,175,196,188,157,163,165,174,153,219,247,213,170,138,111,94,58,56,65,66,88,106,136,173,119,128,141,123,109,186,194,192,159,163,166,175,153,218,244,210,173,144,121,106,73,54,72,75,79,90,101,103,105,134,140,115,117,197,192,192,160,165,170,175,156,216,237,209,176,150,123,106,85,55,74,84,100,112,120,122,102,108,134,109,132,201,192,193,161,167,170,174,156,219,235,211,176,150,121,102,94,64,80,96,114,120,121,121,106,96,114,101,155,202,193,195,163,169,172,175,154,216,227,203,172,144,116,101,95,78,84,100,115,120,120,119,109,103,111,95,174,201,194,195,164,169,172,177,159,210,219,194,169,142,119,109,99,89,94,105,112,117,115,113,110,111,100,129,196,195,194,195,164,168,173,176,166,214,219,195,171,145,129,118,105,95,101,109,111,117,112,109,114,106,142,194,198,199,197,195,165,169,173,177,169,223,223,197,175,146,128,113,105,101,99,109,112,115,111,116,104,153,204,199,198,200,198,199,165,171,175,179,165,226,223,201,178,147,121,106,107,108,103,110,115,117,117,104,132,201,199,198,200,200,197,199,167,172,175,178,167,228,215,195,173,140,114,107,112,111,108,115,119,119,106,130,196,200,199,200,200,200,197,199,168,173,176,178,170,225,211,195,176,144,111,109,111,107,105,113,119,108,139,200,201,201,201,201,201,201,199,199,170,174,176,178,177,220,213,198,186,157,111,105,106,106,106,110,109,135,199,203,202,201,201,201,200,200,201,201
8,158,160,160,161,161,161,164,162,162,161,160,160,160,160,159,157,156,156,156,155,153,152,152,150,148,148,146,145,160,161,162,162,163,158,149,164,164,163,162,161,161,161,159,159,158,157,157,156,156,154,152,151,149,148,147,146,162,162,164,163,167,156,100,149,170,165,165,163,162,162,160,160,159,157,157,157,156,155,153,152,150,149,148,148,163,163,165,164,168,141,93,135,174,165,166,164,164,164,162,161,161,160,159,158,157,156,155,154,152,149,149,149,163,165,166,166,169,140,86,138,175,167,167,165,165,165,163,163,163,162,161,160,159,157,156,155,153,150,150,150,165,165,166,168,169,136,80,149,174,168,168,169,168,166,165,164,163,162,164,165,158,159,158,156,155,152,152,151,166,167,168,168,171,138,79,147,175,169,170,160,167,170,167,169,165,131,111,142,141,134,162,156,157,155,154,152,168,169,169,169,173,151,89,137,179,171,155,121,113,163,141,121,136,133,103,84,125,108,163,157,157,156,155,153,168,169,169,170,173,148,84,125,182,164,149,137,106,118,132,99,93,140,122,80,94,101,149,163,157,157,156,154,169,170,171,172,173,149,103,108,180,159,156,149,118,99,133,111,98,140,113,81,75,96,104,165,159,157,157,156,169,171,173,174,173,167,138,103,168,162,152,157,124,89,125,123,93,125,104,77,64,103,85,122,167,158,158,156,170,172,172,173,174,172,144,107,143,145,132,155,126,91,109,128,85,111,132,93,64,105,88,99,169,158,159,157,171,172,173,174,174,175,149,141,134,135,114,143,127,87,89,127,89,105,149,95,75,118,82,121,170,159,160,158,173,173,174,175,176,177,172,156,130,121,115,129,128,93,79,109,86,56,96,70,91,119,77,145,167,161,161,159,173,174,174,176,176,176,175,143,117,98,95,110,139,126,79,65,65,71,63,98,129,108,84,163,164,162,161,160,174,174,175,176,177,178,172,142,123,101,88,90,145,134,95,65,103,140,134,126,134,91,97,174,163,162,161,160,174,174,177,177,178,178,178,160,135,104,91,91,124,119,89,97,143,141,141,116,106,75,117,175,163,163,161,160,173,175,178,178,178,179,177,163,137,111,95,90,115,131,131,148,157,137,131,108,85,70,155,170,165,164,162,161,174,175,177,178,179,179,176,167,143,121,103,91,119,160,167,164,153,131,122,102,62,112,177,166,166,164,163,162,174,175,178,179,180,180,174,165,148,124,104,100,131,167,160,157,142,123,112,88,70,166,172,168,167,166,164,163,176,177,177,179,180,180,169,160,153,127,109,109,139,160,158,153,132,118,104,67,122,180,169,168,167,167,164,163,176,178,178,180,181,182,171,164,157,131,116,112,144,154,157,145,123,110,87,76,171,173,170,169,169,168,166,164,177,178,179,181,181,183,178,168,161,138,120,109,140,148,145,131,112,100,62,129,183,171,171,170,169,168,166,164,176,178,180,181,181,183,180,173,160,139,122,113,132,140,130,117,100,73,84,178,174,174,172,171,170,168,166,164,177,179,180,180,181,182,182,172,154,136,123,118,123,134,122,108,88,65,160,179,174,174,171,171,169,168,167,166,178,180,180,180,181,183,182,172,155,143,135,130,122,129,117,102,66,129,187,174,175,174,172,171,168,168,168,166,177,179,181,182,182,181,179,176,160,155,141,135,126,124,106,81,86,181,178,177,176,175,173,171,168,168,167,165,178,179,181,182,184,176,172,178,163,158,139,135,126,110,97,69,131,188,177,178,176,174,173,172,171,169,169,167
12,169,173,177,181,183,186,189,191,194,195,196,196,197,198,197,197,196,196,198,196,196,195,195,195,194,193,192,190,170,174,177,181,183,188,191,193,195,196,197,198,198,192,189,199,198,176,174,196,197,195,196,196,196,195,194,193,171,174,178,182,185,189,192,194,195,198,200,199,210,196,167,174,204,189,148,160,179,162,177,198,198,197,196,195,172,176,180,184,187,190,193,195,197,200,200,204,228,225,197,155,159,212,182,125,130,154,132,183,200,199,198,196,174,178,181,185,189,193,195,197,198,200,200,219,215,220,211,160,114,177,184,126,91,137,126,132,199,200,199,198,177,179,183,186,190,194,196,199,201,201,201,222,186,204,208,150,104,163,170,121,87,119,123,99,190,201,200,199,179,181,185,189,192,196,198,201,202,206,203,164,142,195,190,138,96,166,164,114,92,126,115,101,194,201,201,200,180,184,187,191,194,198,201,202,213,228,206,141,104,146,179,151,87,158,190,130,98,149,124,119,202,202,201,201,182,186,189,193,196,199,202,217,227,222,211,155,100,106,179,146,76,155,198,127,105,179,130,150,207,204,203,202,184,188,192,195,200,201,215,227,196,195,215,162,98,67,137,123,54,104,177,118,98,161,130,186,208,206,205,204,186,190,194,198,202,205,226,220,190,170,199,154,100,58,72,75,75,107,123,130,135,140,106,172,211,207,206,206,189,193,197,200,203,211,218,193,163,133,179,152,103,61,67,82,156,198,174,165,147,132,115,130,209,209,207,206,190,195,199,203,205,209,224,198,167,122,155,149,104,67,83,129,188,204,191,167,137,111,119,109,197,211,209,208,193,197,201,204,206,212,227,203,173,134,133,151,125,78,114,175,202,200,191,167,134,107,102,109,203,213,210,209,195,199,203,207,209,221,231,211,185,153,120,143,139,99,173,207,209,202,193,154,128,102,83,144,215,213,211,209,199,203,206,209,211,228,233,218,194,163,135,125,126,152,208,216,216,210,182,137,119,94,91,196,216,215,214,211,201,205,208,211,213,230,232,222,201,172,157,141,139,182,202,211,219,204,163,127,111,82,135,220,212,193,164,135,204,208,210,213,215,225,228,226,207,182,172,155,148,181,190,212,216,189,147,118,103,80,157,154,114,81,64,59,207,211,213,215,218,219,230,227,210,191,183,166,154,186,187,212,207,169,132,108,93,69,71,57,50,48,48,44,210,214,216,219,222,217,227,223,209,196,189,172,158,186,198,195,183,148,118,100,80,50,46,44,44,43,47,40,213,216,219,222,225,219,223,223,210,196,186,174,165,177,194,177,157,131,109,94,58,34,47,46,36,37,48,44,214,217,220,223,225,218,218,226,210,194,182,169,158,164,180,165,141,121,101,82,48,25,38,51,38,30,40,48,215,218,221,223,227,218,220,223,202,187,178,166,152,160,171,154,124,110,91,64,55,27,25,43,48,32,31,43,217,220,223,227,229,219,222,218,188,175,174,161,150,161,159,141,110,95,56,41,55,40,16,30,45,41,27,32,218,222,225,228,230,217,223,224,188,183,183,169,158,162,147,127,102,75,37,27,46,50,18,17,35,45,34,24,220,224,227,229,233,198,217,226,197,200,195,174,158,158,138,119,93,57,41,22,34,49,29,11,24,42,43,27,222,225,229,231,235,151,194,229,214,220,200,169,159,156,132,113,83,48,39,25,21,41,37,11,14,34,44,36,196,201,206,211,212,116,135,219,215,216,188,159,161,155,128,109,72,51,36,27,14,35,40,15,8,27,42,41
1,135,119,108,102,105,99,61,103,121,133,143,148,156,160,162,164,168,171,173,175,178,179,181,182,184,185,185,186,137,116,111,101,110,92,66,108,124,132,155,160,131,158,165,169,170,173,174,177,179,181,182,184,186,187,187,187,137,115,116,102,116,85,71,111,125,136,162,177,116,139,159,151,174,174,177,179,180,182,185,187,188,188,189,189,137,116,119,101,121,78,78,110,144,169,132,178,133,134,166,117,161,179,178,180,182,185,187,189,189,189,190,190,137,117,121,102,124,72,84,111,153,176,126,175,146,135,178,121,136,183,179,182,185,188,189,190,190,191,192,192,134,118,121,104,126,66,90,114,150,183,132,167,161,133,180,142,121,181,181,184,187,189,190,191,193,193,193,193,132,121,120,107,125,63,96,114,148,187,130,169,185,141,166,158,116,170,185,186,188,189,191,192,194,193,194,194,131,125,119,112,119,61,103,135,142,193,145,165,190,143,165,180,124,151,190,186,188,191,193,194,194,195,195,195,129,128,116,117,114,57,130,174,133,195,159,152,184,145,163,189,138,134,190,186,189,191,194,195,196,196,196,197,128,129,114,124,107,58,138,170,128,188,162,142,182,151,149,184,148,128,188,189,190,192,195,196,197,197,198,198,127,132,111,129,99,63,137,172,123,180,168,133,187,164,140,187,157,125,184,191,191,194,196,196,197,198,199,199,128,135,109,133,90,67,136,182,125,178,180,126,176,174,136,191,165,123,176,193,192,194,196,197,197,199,200,200,129,136,109,139,82,73,132,194,136,161,189,129,144,176,119,170,171,120,168,196,192,195,197,197,198,199,200,200,133,137,109,141,74,79,124,185,137,141,190,131,134,171,132,170,173,120,151,198,192,195,197,197,198,200,201,200,136,135,111,140,68,87,117,179,155,129,175,158,158,160,171,177,148,119,132,197,193,195,197,198,199,199,200,199,138,133,115,137,63,92,113,181,165,126,168,175,154,143,162,172,136,108,118,189,195,195,198,198,200,200,200,200,140,131,119,134,60,96,113,177,159,164,169,169,173,160,188,195,147,106,98,175,198,194,198,199,200,201,202,201,144,130,124,130,58,100,113,177,178,180,154,159,166,165,187,184,153,124,94,155,201,195,198,200,201,201,202,201,148,128,132,127,58,102,115,188,187,163,146,141,150,157,162,168,170,146,106,127,200,197,200,200,201,201,202,202,152,126,139,120,58,103,112,180,181,151,135,146,151,164,185,182,183,170,133,111,189,198,198,198,200,200,201,201,154,123,145,110,61,103,107,164,180,148,134,149,153,170,197,196,188,182,151,117,184,196,195,196,197,199,198,197,154,120,151,101,60,102,106,140,182,156,140,140,159,171,195,203,184,173,144,122,186,193,194,195,197,197,202,221,153,119,155,92,71,104,108,120,172,163,147,139,157,170,193,200,181,163,134,113,185,193,194,196,199,195,203,231,152,121,150,130,115,127,132,131,159,174,158,143,148,165,188,194,177,159,130,112,173,179,180,182,181,183,175,177,151,121,152,136,92,98,100,99,111,170,163,155,146,157,183,186,166,152,126,108,118,119,122,118,139,178,177,171,148,124,155,132,96,101,103,105,101,130,168,160,154,151,168,176,157,144,120,109,118,119,117,120,175,181,175,167,145,125,156,129,96,101,102,103,105,102,146,165,159,149,146,159,147,132,115,112,117,118,112,153,189,178,173,166,140,121,157,125,93,99,100,101,104,100,118,167,154,141,136,139,135,125,108,112,116,114,118,180,184,176,167,163
12,157,159,161,164,166,166,171,174,175,176,176,176,178,176,176,178,177,176,178,178,177,176,176,176,174,174,173,173,159,163,164,166,168,169,173,175,177,178,177,178,178,179,179,179,180,178,180,181,180,178,178,177,176,175,175,174,160,163,166,168,170,171,174,175,177,180,180,179,181,181,180,182,181,182,182,183,182,182,182,180,179,178,176,176,161,163,167,169,170,173,175,176,178,179,180,183,184,182,182,184,184,183,181,183,184,184,183,181,181,180,179,178,162,166,169,170,173,175,177,179,180,183,183,184,184,182,188,187,184,184,187,186,183,184,183,182,182,182,182,180,164,166,169,172,175,177,180,181,182,184,184,183,185,184,170,181,192,176,151,176,188,183,182,184,184,184,184,183,166,168,170,173,175,178,181,184,185,184,186,181,207,206,147,141,217,169,103,110,199,187,192,185,185,186,186,185,167,170,173,175,177,178,181,184,185,185,185,184,238,217,160,131,211,165,102,62,151,138,147,193,186,187,187,187,170,173,175,177,180,181,182,183,184,187,196,149,161,204,152,120,203,158,94,71,171,126,58,154,195,186,189,190,169,172,175,178,181,182,185,187,180,219,209,165,95,150,146,107,197,158,82,115,184,138,68,95,203,189,189,189,169,172,175,178,182,184,186,185,199,238,224,177,112,94,169,106,215,199,115,145,191,151,72,85,202,191,191,189,171,175,177,179,182,184,187,182,221,205,217,180,116,79,186,111,185,186,88,155,230,168,64,88,203,192,192,192,172,175,179,181,183,187,189,187,232,197,202,180,115,60,105,92,57,127,106,153,177,103,37,97,205,192,192,193,175,178,180,182,185,190,184,217,232,177,187,175,118,66,40,43,38,160,204,186,153,125,49,107,206,192,195,193,176,179,181,185,186,188,188,234,213,156,162,169,119,76,60,65,161,192,179,168,142,130,75,131,209,195,196,193,177,179,183,186,188,188,200,234,202,172,137,158,163,76,50,186,219,187,168,152,116,99,73,136,209,195,198,196,178,180,184,187,190,187,216,234,206,186,144,119,133,77,135,234,216,182,162,141,105,92,62,148,210,197,199,197,180,183,183,188,193,186,224,233,206,179,168,128,125,151,216,231,214,175,154,127,96,85,57,167,209,199,200,198,181,183,186,190,194,188,225,232,209,188,175,146,149,159,222,230,205,167,142,118,91,83,47,154,212,197,201,200,182,184,187,190,194,189,223,237,214,197,186,160,137,173,227,222,192,164,132,105,85,75,47,178,209,198,200,200,183,186,189,191,194,192,216,237,216,198,185,166,144,198,217,201,179,156,126,96,83,50,120,213,201,201,201,202,184,187,191,192,195,194,210,234,208,193,173,156,167,205,189,183,164,140,113,91,57,104,210,205,203,203,204,202,185,188,190,192,195,194,215,230,201,191,169,167,190,201,175,174,152,125,105,71,98,207,207,206,206,205,205,204,187,189,192,194,199,191,226,229,210,201,184,183,200,198,173,162,140,121,88,77,194,211,206,208,205,206,206,206,187,190,193,195,200,192,242,238,224,203,192,198,199,183,167,136,121,102,66,149,214,208,209,207,207,207,206,206,187,191,194,195,197,197,246,236,234,209,201,199,185,171,147,116,109,67,119,212,211,212,210,208,208,208,207,206,188,192,195,198,194,202,235,220,225,202,198,185,178,152,129,112,90,78,191,215,212,214,212,209,209,208,208,207,189,192,196,199,191,208,230,201,197,185,184,187,169,136,131,107,69,127,213,213,213,214,213,211,210,210,209,208
2,190,191,190,191,190,190,192,192,191,192,193,192,191,192,191,191,192,189,189,189,188,188,188,187,186,185,184,183,193,193,193,193,193,193,194,194,193,195,195,193,193,193,192,193,190,192,192,190,187,188,189,188,187,186,185,184,195,194,195,194,195,194,195,195,196,196,195,194,189,182,174,166,151,164,195,192,190,190,189,188,188,187,186,187,196,195,196,197,197,196,196,195,196,196,191,177,152,128,108,88,90,116,164,164,188,191,191,191,191,189,188,188,198,198,198,198,198,199,197,197,192,187,167,130,99,82,77,59,60,69,101,89,178,193,193,193,193,191,192,191,199,200,200,199,200,200,199,192,182,160,118,82,61,53,50,49,55,68,80,84,171,196,194,194,195,193,191,192,200,201,200,199,200,200,198,185,174,118,70,51,46,48,53,46,48,56,67,81,100,194,195,194,194,194,192,194,201,201,200,199,200,201,196,187,154,93,49,39,46,50,50,47,58,70,78,90,145,197,196,197,195,195,194,195,202,202,202,201,202,202,192,184,128,72,44,48,48,41,55,63,62,69,104,171,195,198,199,198,193,181,188,196,202,202,203,202,203,202,192,178,124,75,48,55,44,56,63,64,94,169,192,200,200,201,200,194,171,143,153,196,203,203,204,204,206,197,196,173,124,77,55,46,49,71,74,134,189,202,201,201,201,202,197,174,164,112,163,197,205,205,205,205,200,185,200,170,120,75,58,42,59,69,121,204,204,203,203,202,202,202,183,165,149,102,191,199,207,207,206,206,190,176,200,172,130,84,55,45,59,67,179,206,205,205,205,203,203,202,168,165,121,114,200,200,208,208,208,208,187,174,204,178,144,91,54,50,59,110,207,207,207,208,206,206,203,189,161,154,109,126,202,202,208,208,209,209,185,187,210,183,151,106,61,53,54,148,210,209,208,209,207,206,189,172,169,149,98,129,204,203,208,208,209,211,184,196,213,186,155,116,68,52,56,143,197,187,179,187,197,190,169,172,162,125,94,179,202,204,209,210,211,210,182,201,214,183,157,127,75,51,61,82,112,126,134,137,143,136,155,157,131,98,169,202,203,204,210,211,212,212,180,200,212,185,163,131,81,55,66,94,124,142,143,127,122,115,124,121,92,162,204,205,206,205,210,212,211,212,177,200,210,191,168,133,86,73,76,116,133,149,138,121,104,99,96,83,144,205,206,207,207,206,211,212,213,210,180,200,208,193,166,132,96,84,77,117,127,138,132,115,95,86,75,114,204,208,208,208,207,207,213,213,215,211,186,202,205,194,163,130,102,94,77,104,118,122,120,104,88,76,96,191,210,210,210,209,209,208,214,214,214,209,194,205,203,198,163,125,104,92,75,102,103,104,99,90,81,126,192,211,211,210,210,209,209,208,216,215,215,207,200,207,200,192,153,111,93,83,75,97,88,91,83,86,160,207,213,212,210,210,210,209,209,208,215,214,214,202,201,206,196,182,141,95,85,79,78,90,77,80,92,175,212,213,214,212,211,211,211,210,210,209,214,214,214,202,196,199,195,186,150,92,88,88,83,81,67,110,190,212,216,214,215,213,212,212,211,210,209,209,214,215,213,201,199,192,196,195,165,91,93,94,89,71,109,201,211,214,214,214,212,212,212,212,210,208,208,208,214,215,209,203,209,199,202,197,172,93,96,98,93,96,195,215,215,215,215,214,213,213,212,212,210,209,208,207,215,215,207,207,208,207,203,196,170,99,92,92,89,155,213,216,216,216,216,215,213,214,214,213,210,211,209,208
4,201,205,208,209,214,216,218,223,226,229,234,233,233,237,237,237,240,241,238,240,240,242,243,241,239,239,239,239,206,209,212,215,218,220,223,226,227,229,236,236,238,237,237,250,233,232,245,242,242,243,244,243,243,242,242,242,210,214,216,220,223,224,226,230,231,233,233,245,229,255,255,255,206,144,231,249,247,250,246,247,246,246,245,244,214,217,220,223,226,228,230,236,242,245,255,255,200,166,240,255,190,123,130,174,172,231,255,249,250,249,247,245,217,220,224,227,231,232,241,236,201,255,255,255,212,133,102,231,184,119,93,156,128,138,255,250,253,252,251,249,221,224,228,232,233,235,255,255,198,206,210,255,218,156,80,163,216,157,95,179,178,125,253,255,255,253,252,253,224,227,231,237,230,255,255,255,255,231,149,221,253,184,51,167,255,196,145,167,195,158,238,255,255,255,255,255,229,233,236,236,243,255,255,203,209,178,106,132,255,173,64,221,253,186,136,125,148,142,181,255,255,255,255,255,231,236,241,241,246,255,255,238,211,202,188,121,182,141,99,172,204,164,142,144,137,131,149,238,255,255,255,255,234,239,242,246,243,255,255,255,230,200,188,148,135,162,153,167,201,175,176,151,113,162,166,163,255,255,255,255,236,242,245,250,247,255,255,253,216,178,153,139,147,175,179,200,215,202,190,155,159,213,205,145,218,255,255,255,239,245,248,254,249,255,255,255,222,177,149,139,152,166,189,212,234,239,255,255,255,243,218,190,149,255,255,255,243,247,251,255,252,255,255,255,229,184,151,146,155,172,203,250,239,255,255,255,255,238,197,164,115,209,255,255,244,252,254,255,254,255,255,255,243,205,160,147,150,175,227,250,241,255,255,255,241,215,183,152,120,150,255,255,246,254,255,255,255,255,255,255,255,218,176,154,156,177,237,255,255,255,255,255,230,207,180,147,126,132,255,255,249,255,255,255,255,255,255,255,255,228,192,170,171,173,228,255,255,255,255,255,228,198,166,142,115,159,255,255,252,255,255,255,255,255,255,255,255,237,202,195,188,178,222,255,255,255,255,255,220,183,151,137,108,229,255,255,254,255,255,255,255,255,255,255,255,251,219,210,202,189,233,255,255,255,255,254,211,171,147,127,127,255,255,255,255,255,255,255,255,255,255,255,255,255,234,222,211,195,241,255,255,255,255,235,197,165,148,107,183,255,255,255,255,255,255,255,255,255,255,255,255,255,248,232,216,204,232,255,255,255,246,212,183,158,144,108,254,255,255,255,255,255,255,255,255,255,255,255,255,255,250,235,222,203,200,255,255,243,221,190,169,156,128,142,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,237,227,203,181,238,255,240,209,177,152,158,109,225,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,236,230,208,183,224,248,228,196,162,148,114,167,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,239,231,231,203,179,214,231,210,169,151,114,158,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,234,237,234,212,183,201,207,190,152,127,132,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,254,243,228,190,184,184,177,146,104,236,255,255,255,255,255,200,142,255,255,255,255,255,255,255,255,255,255,255,255,246,232,189,168,168,173,128,127,255,255,255,255,159,99,80,77,255,255,255,255,255,255,231,255,255,255,255,255,249,231,188,164,169,176,112,169,255,255,237,113,91,67,70,63
2,173,174,173,174,173,173,175,175,174,175,176,175,174,174,173,173,174,170,172,172,170,171,171,170,168,168,167,166,176,176,176,176,176,176,177,177,176,178,178,176,177,177,178,179,177,179,173,172,169,171,171,171,170,168,168,167,178,177,178,178,179,178,179,179,179,179,179,179,174,169,157,154,130,146,189,179,174,173,172,171,171,169,168,169,179,179,179,180,181,180,179,178,181,180,177,163,135,106,83,63,53,89,156,144,170,175,173,174,174,172,170,171,182,181,182,182,182,183,181,181,175,173,153,109,72,56,52,31,30,41,79,57,162,180,176,176,176,175,175,174,183,184,184,183,183,184,183,176,165,143,97,54,32,26,22,24,29,45,51,56,160,181,177,177,178,176,174,175,184,184,183,183,184,184,182,168,161,95,39,24,18,20,30,18,19,29,44,50,65,184,178,177,177,177,175,177,185,185,183,182,183,185,179,172,137,68,19,9,21,25,24,19,33,47,50,56,126,187,178,180,180,181,179,178,186,185,185,184,186,187,175,171,106,42,14,24,23,10,29,44,32,34,76,159,187,180,183,182,177,162,173,180,186,186,187,186,187,186,176,163,102,47,19,32,16,29,39,26,65,155,184,189,183,184,185,180,156,114,128,189,187,187,187,188,192,180,180,159,101,52,30,16,22,49,43,112,183,193,184,184,185,186,182,153,152,80,138,190,189,189,188,191,181,166,188,154,96,48,33,11,39,33,98,210,186,185,187,186,185,188,166,145,129,71,179,184,192,191,189,195,169,154,190,154,108,58,27,17,36,31,164,194,186,189,189,187,187,189,149,153,86,90,196,180,192,192,191,197,165,151,194,160,125,68,24,26,23,87,205,187,191,191,189,189,191,171,140,140,74,102,197,183,192,192,193,199,162,166,202,166,132,84,33,29,15,132,210,195,198,197,193,194,172,149,154,138,59,101,201,184,192,192,192,201,163,176,205,168,137,96,39,27,20,126,196,167,159,170,185,175,148,156,151,102,54,166,190,187,193,194,194,199,161,181,205,164,138,109,48,22,34,54,87,100,107,113,122,111,138,145,110,58,155,194,186,188,195,196,196,200,160,181,202,166,144,113,55,26,39,67,102,125,126,104,101,92,102,104,52,144,199,186,190,189,195,196,195,199,157,182,198,174,150,113,60,45,51,98,115,133,119,100,79,75,76,44,121,203,187,192,192,190,196,197,197,195,161,182,195,177,148,112,71,59,49,98,107,119,114,92,70,67,36,86,203,191,192,192,191,191,198,198,201,195,167,186,191,179,144,108,80,69,50,84,97,100,101,82,67,40,62,184,198,193,194,193,193,192,199,198,200,192,175,190,188,185,146,103,83,68,49,80,80,81,78,65,43,101,186,200,194,194,194,193,193,192,201,200,201,189,183,193,183,178,133,86,70,58,47,75,65,72,53,49,143,204,199,196,194,194,194,193,193,192,199,198,201,184,185,193,179,166,119,68,60,53,53,68,56,47,58,162,209,195,198,197,195,196,195,194,194,193,198,198,200,186,177,182,178,171,131,64,64,64,59,61,30,80,184,205,198,199,200,198,197,197,195,194,194,193,198,199,199,186,180,173,178,184,149,60,71,72,69,35,78,201,199,196,200,198,197,197,196,196,194,192,192,192,198,200,193,187,195,182,185,186,157,64,74,78,64,67,191,202,198,200,199,199,197,197,197,196,194,193,192,191,199,201,190,190,194,192,187,181,154,72,66,74,54,139,210,198,201,201,201,200,197,198,198,197,195,195,193,192